Properties

Label 144.2.u.a.11.21
Level $144$
Weight $2$
Character 144.11
Analytic conductor $1.150$
Analytic rank $0$
Dimension $88$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

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 11.21
Character \(\chi\) \(=\) 144.11
Dual form 144.2.u.a.131.21

$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.37902 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 0.323075 0.946373i \(-0.395283\pi\)
−0.193396 + 0.981121i \(0.561950\pi\)
\(6\) −0.0413015 + 2.44914i −0.0168613 + 0.999858i
\(7\) −0.374023 + 0.647827i −0.141367 + 0.244855i −0.928012 0.372551i \(-0.878483\pi\)
0.786644 + 0.617406i \(0.211817\pi\)
\(8\) 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 −0.579800 0.814759i \(-0.696869\pi\)
−0.0947421 + 0.995502i \(0.530203\pi\)
\(12\) 0.710945 + 3.39036i 0.205232 + 0.978713i
\(13\) 1.60318 + 0.429571i 0.444642 + 0.119142i 0.474191 0.880422i \(-0.342740\pi\)
−0.0295491 + 0.999563i \(0.509407\pi\)
\(14\) −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 \(-0.695098\pi\)
0.575256 0.817973i \(-0.304902\pi\)
\(18\) −4.10299 1.07957i −0.967084 0.254458i
\(19\) 0.621335 + 0.621335i 0.142544 + 0.142544i 0.774778 0.632234i \(-0.217862\pi\)
−0.632234 + 0.774778i \(0.717862\pi\)
\(20\) 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 −0.973845 0.227212i \(-0.927039\pi\)
−0.290151 + 0.956981i \(0.593706\pi\)
\(24\) 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 −0.725892 0.687809i \(-0.758573\pi\)
−0.284736 + 0.958606i \(0.591906\pi\)
\(30\) −0.202268 + 0.706970i −0.0369289 + 0.129075i
\(31\) 3.13647 1.81084i 0.563326 0.325236i −0.191153 0.981560i \(-0.561223\pi\)
0.754479 + 0.656324i \(0.227889\pi\)
\(32\) 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 0.993396 + 0.114740i \(0.0366036\pi\)
0.114740 + 0.993396i \(0.463396\pi\)
\(38\) 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 0.736301 0.676655i \(-0.236571\pi\)
−0.954150 + 0.299328i \(0.903238\pi\)
\(42\) −1.57117 0.942791i −0.242437 0.145476i
\(43\) 1.89907 + 7.08744i 0.289606 + 1.08082i 0.945407 + 0.325891i \(0.105664\pi\)
−0.655801 + 0.754934i \(0.727669\pi\)
\(44\) −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 −0.842757 0.538294i \(-0.819069\pi\)
0.887555 + 0.460702i \(0.152402\pi\)
\(48\) 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 −0.498211 0.867056i \(-0.666010\pi\)
0.867056 + 0.498211i \(0.166010\pi\)
\(54\) 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 −0.966073 0.258271i \(-0.916847\pi\)
0.965779 + 0.259367i \(0.0835139\pi\)
\(60\) −0.0572691 + 1.03834i −0.00739341 + 0.134050i
\(61\) 2.72542 + 10.1714i 0.348955 + 1.30232i 0.887924 + 0.459991i \(0.152147\pi\)
−0.538969 + 0.842326i \(0.681186\pi\)
\(62\) 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 −0.659555 0.751656i \(-0.729255\pi\)
0.947020 0.321176i \(-0.104078\pi\)
\(68\) −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 \(0.396217\pi\)
−0.320297 + 0.947317i \(0.603783\pi\)
\(72\) −8.33284 + 1.60118i −0.982035 + 0.188701i
\(73\) 8.17785i 0.957145i −0.878048 0.478572i \(-0.841154\pi\)
0.878048 0.478572i \(-0.158846\pi\)
\(74\) 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 0.00202794 0.999998i \(-0.499354\pi\)
−0.865010 + 0.501755i \(0.832688\pi\)
\(80\) 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 0.943791 0.330541i \(-0.107231\pi\)
−0.982618 + 0.185638i \(0.940565\pi\)
\(84\) −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 −0.999379 0.0352448i \(-0.988779\pi\)
0.530212 + 0.847865i \(0.322112\pi\)
\(98\) 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 0.800835 + 0.598885i \(0.204389\pi\)
−0.394102 + 0.919067i \(0.628944\pi\)
\(102\) 16.5199 + 0.278586i 1.63571 + 0.0275841i
\(103\) −5.63994 9.76866i −0.555720 0.962535i −0.997847 0.0655828i \(-0.979109\pi\)
0.442127 0.896952i \(-0.354224\pi\)
\(104\) 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 0.0874707 0.996167i \(-0.472122\pi\)
−0.996167 + 0.0874707i \(0.972122\pi\)
\(108\) 2.81349 10.0042i 0.270728 0.962656i
\(109\) 0.535130 0.535130i 0.0512562 0.0512562i −0.681014 0.732270i \(-0.738461\pi\)
0.732270 + 0.681014i \(0.238461\pi\)
\(110\) −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 −0.324541 0.945872i \(-0.605210\pi\)
0.656878 + 0.753997i \(0.271877\pi\)
\(114\) −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 \(-0.974724\pi\)
0.996849 0.0793250i \(-0.0252765\pi\)
\(128\) 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 0.423954 0.905684i \(-0.360642\pi\)
−0.0856865 + 0.996322i \(0.527308\pi\)
\(132\) −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 −0.848590 0.529051i \(-0.822548\pi\)
0.882467 + 0.470375i \(0.155881\pi\)
\(138\) −8.32126 14.9910i −0.708352 1.27612i
\(139\) −17.7067 4.74448i −1.50186 0.402422i −0.588137 0.808762i \(-0.700138\pi\)
−0.913722 + 0.406340i \(0.866805\pi\)
\(140\) −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 −0.298041 0.954553i \(-0.596333\pi\)
−0.735388 + 0.677647i \(0.763000\pi\)
\(150\) 6.18811 10.3126i 0.505257 0.842017i
\(151\) 9.45023 16.3683i 0.769049 1.33203i −0.169030 0.985611i \(-0.554063\pi\)
0.938079 0.346421i \(-0.112603\pi\)
\(152\) 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 −0.127792 0.991801i \(-0.540789\pi\)
−0.606572 + 0.795029i \(0.707456\pi\)
\(158\) −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 0.418640 0.908152i \(-0.362507\pi\)
−0.908152 + 0.418640i \(0.862507\pi\)
\(164\) −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 −0.159132 0.987257i \(-0.550869\pi\)
0.775424 + 0.631441i \(0.217536\pi\)
\(168\) −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 0.0448800 0.998992i \(-0.485709\pi\)
0.538363 + 0.842713i \(0.319043\pi\)
\(174\) −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 −0.939656 0.342121i \(-0.888855\pi\)
0.342121 + 0.939656i \(0.388855\pi\)
\(180\) −1.72312 0.524582i −0.128434 0.0391001i
\(181\) 14.5271 + 14.5271i 1.07979 + 1.07979i 0.996527 + 0.0832666i \(0.0265353\pi\)
0.0832666 + 0.996527i \(0.473465\pi\)
\(182\) −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 −0.211312 0.977419i \(-0.567774\pi\)
0.952125 0.305708i \(-0.0988930\pi\)
\(192\) 12.3549 + 6.27344i 0.891639 + 0.452746i
\(193\) −2.37336 4.11078i −0.170838 0.295901i 0.767875 0.640600i \(-0.221314\pi\)
−0.938713 + 0.344699i \(0.887981\pi\)
\(194\) −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 −0.903205 0.429210i \(-0.858792\pi\)
0.429210 + 0.903205i \(0.358792\pi\)
\(198\) 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 0.683795 + 0.729674i \(0.260328\pi\)
−0.957021 + 0.290019i \(0.906338\pi\)
\(212\) 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 0.270178 0.962811i \(-0.412918\pi\)
−0.698730 + 0.715386i \(0.746251\pi\)
\(224\) 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 −0.865273 0.501301i \(-0.832855\pi\)
0.498698 0.866776i \(-0.333812\pi\)
\(228\) −1.66482 + 2.54829i −0.110255 + 0.168764i
\(229\) 4.76891 17.7978i 0.315138 1.17611i −0.608722 0.793383i \(-0.708318\pi\)
0.923861 0.382729i \(-0.125016\pi\)
\(230\) −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 0.950955 + 0.309328i \(0.100104\pi\)
−0.207592 + 0.978216i \(0.566562\pi\)
\(240\) 0.794632 + 1.92206i 0.0512933 + 0.124068i
\(241\) 10.2735 17.7943i 0.661777 1.14623i −0.318372 0.947966i \(-0.603136\pi\)
0.980148 0.198265i \(-0.0635306\pi\)
\(242\) −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 0.693057 0.720883i \(-0.256263\pi\)
−0.720883 + 0.693057i \(0.756263\pi\)
\(252\) 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 −0.641798 0.766874i \(-0.721811\pi\)
0.343233 + 0.939250i \(0.388478\pi\)
\(258\) −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 0.641599 0.767040i \(-0.278271\pi\)
−0.343477 + 0.939161i \(0.611605\pi\)
\(264\) −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 0.654448 0.756107i \(-0.272901\pi\)
−0.756107 + 0.654448i \(0.772901\pi\)
\(270\) 1.51899 1.59974i 0.0924425 0.0973569i
\(271\) 23.2740i 1.41379i 0.707317 + 0.706897i \(0.249905\pi\)
−0.707317 + 0.706897i \(0.750095\pi\)
\(272\) −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 −0.279330 0.960195i \(-0.590112\pi\)
0.238191 + 0.971218i \(0.423446\pi\)
\(278\) −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 −0.789541 0.613697i \(-0.789682\pi\)
0.926248 + 0.376914i \(0.123015\pi\)
\(282\) 1.29013 + 0.774150i 0.0768260 + 0.0460999i
\(283\) 14.0269 + 3.75850i 0.833814 + 0.223420i 0.650377 0.759612i \(-0.274611\pi\)
0.183437 + 0.983031i \(0.441278\pi\)
\(284\) 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 0.0779914 0.996954i \(-0.475149\pi\)
−0.430934 + 0.902383i \(0.641816\pi\)
\(294\) −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 0.566238 0.824242i \(-0.308398\pi\)
−0.824242 + 0.566238i \(0.808398\pi\)
\(308\) −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 −0.155832 0.987784i \(-0.549806\pi\)
0.777529 + 0.628847i \(0.216473\pi\)
\(312\) 1.36332 + 8.01590i 0.0771826 + 0.453811i
\(313\) 16.6282 + 9.60027i 0.939879 + 0.542640i 0.889922 0.456112i \(-0.150758\pi\)
0.0499568 + 0.998751i \(0.484092\pi\)
\(314\) −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 −0.556266 0.831004i \(-0.687766\pi\)
−0.0662384 + 0.997804i \(0.521100\pi\)
\(318\) 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 0.952675 + 0.303991i \(0.0983192\pi\)
−0.673045 + 0.739601i \(0.735014\pi\)
\(332\) −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 0.969330 0.245763i \(-0.0790385\pi\)
−0.697502 + 0.716583i \(0.745705\pi\)
\(338\) −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 −0.997351 0.0727428i \(-0.976825\pi\)
0.900102 + 0.435678i \(0.143491\pi\)
\(348\) −8.81337 17.4149i −0.472446 0.933539i
\(349\) −5.23119 19.5231i −0.280019 1.04505i −0.952403 0.304843i \(-0.901396\pi\)
0.672383 0.740203i \(-0.265271\pi\)
\(350\) 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 0.706077 0.708135i \(-0.250463\pi\)
−0.260224 + 0.965548i \(0.583796\pi\)
\(354\) −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 \(0.00711452\pi\)
−0.999750 + 0.0223491i \(0.992885\pi\)
\(360\) −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 0.0342756 0.999412i \(-0.489088\pi\)
−0.848379 + 0.529390i \(0.822421\pi\)
\(368\) −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 −0.705934 0.708277i \(-0.749473\pi\)
0.965496 0.260419i \(-0.0838607\pi\)
\(374\) 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 −0.499235 0.866466i \(-0.666386\pi\)
0.866466 + 0.499235i \(0.166386\pi\)
\(380\) 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 0.946781 0.321878i \(-0.104314\pi\)
−0.752145 + 0.658998i \(0.770981\pi\)
\(384\) 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 0.954535 0.298098i \(-0.0963522\pi\)
−0.975701 + 0.219107i \(0.929686\pi\)
\(390\) −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 −0.0500326 + 0.998748i \(0.515933\pi\)
−0.998748 + 0.0500326i \(0.984067\pi\)
\(398\) 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 −0.854557 0.519358i \(-0.826171\pi\)
0.0224993 + 0.999747i \(0.492838\pi\)
\(402\) 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 −0.611461 0.791275i \(-0.709418\pi\)
0.379533 + 0.925178i \(0.376085\pi\)
\(410\) −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 0.414228 0.910173i \(-0.364052\pi\)
−0.0963549 + 0.995347i \(0.530718\pi\)
\(420\) −0.651247 0.425465i −0.0317776 0.0207606i
\(421\) −19.0218 + 5.09689i −0.927068 + 0.248407i −0.690604 0.723233i \(-0.742655\pi\)
−0.236464 + 0.971640i \(0.575989\pi\)
\(422\) −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 −0.922233 0.386635i \(-0.873637\pi\)
0.795952 + 0.605359i \(0.206971\pi\)
\(440\) −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 0.271577 0.962417i \(-0.412455\pi\)
0.716401 + 0.697689i \(0.245788\pi\)
\(444\) −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 \(0.181856\pi\)
−0.841189 + 0.540742i \(0.818144\pi\)
\(450\) 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 0.561368 0.827566i \(-0.310275\pi\)
−0.436009 + 0.899942i \(0.643608\pi\)
\(458\) 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 −0.222926 0.974835i \(-0.571561\pi\)
0.294358 + 0.955695i \(0.404894\pi\)
\(462\) 4.08019 + 1.16737i 0.189828 + 0.0543108i
\(463\) −0.0991508 + 0.0572447i −0.00460793 + 0.00266039i −0.502302 0.864692i \(-0.667513\pi\)
0.497694 + 0.867353i \(0.334180\pi\)
\(464\) −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 −0.699539 0.714595i \(-0.746611\pi\)
0.714595 + 0.699539i \(0.246611\pi\)
\(468\) −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 −0.995879 0.0906864i \(-0.971094\pi\)
0.576476 + 0.817114i \(0.304427\pi\)
\(480\) 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 −0.964700 0.263352i \(-0.915172\pi\)
0.967130 + 0.254281i \(0.0818387\pi\)
\(492\) 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 0.382584 + 0.923921i \(0.375034\pi\)
−0.793288 + 0.608847i \(0.791632\pi\)
\(500\) −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 \(-0.658362\pi\)
0.477239 0.878773i \(-0.341638\pi\)
\(504\) 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 0.237598 + 0.971364i \(0.423640\pi\)
−0.691447 + 0.722427i \(0.743027\pi\)
\(510\) 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 −0.163409 0.986558i \(-0.552249\pi\)
0.986558 + 0.163409i \(0.0522490\pi\)
\(524\) 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 −0.219078 0.975707i \(-0.570305\pi\)
0.975707 + 0.219078i \(0.0703048\pi\)
\(542\) 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 0.424983 0.905201i \(-0.360280\pi\)
0.820647 + 0.571436i \(0.193613\pi\)
\(548\) 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 0.997953 + 0.0639497i \(0.0203697\pi\)
0.0639497 + 0.997953i \(0.479630\pi\)
\(558\) −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 0.539115 0.842232i \(-0.318759\pi\)
0.0457710 + 0.998952i \(0.485426\pi\)
\(564\) 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 −0.398274 0.917267i \(-0.630391\pi\)
0.993513 0.113718i \(-0.0362761\pi\)
\(570\) −0.564942 + 0.313589i −0.0236628 + 0.0131348i
\(571\) −17.3238 4.64190i −0.724978 0.194257i −0.122586 0.992458i \(-0.539119\pi\)
−0.602392 + 0.798201i \(0.705786\pi\)
\(572\) −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 −0.663447 0.748224i \(-0.730907\pi\)
−0.200450 + 0.979704i \(0.564240\pi\)
\(588\) −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 \(-0.858997\pi\)
0.903481 0.428628i \(-0.141003\pi\)
\(594\) −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 −0.683975 0.729505i \(-0.739750\pi\)
0.289782 + 0.957093i \(0.406417\pi\)
\(600\) 2.24176 23.9487i 0.0915195 0.977702i
\(601\) 21.0323 + 12.1430i 0.857927 + 0.495324i 0.863317 0.504661i \(-0.168383\pi\)
−0.00539080 + 0.999985i \(0.501716\pi\)
\(602\) −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 0.0593510 0.998237i \(-0.481097\pi\)
0.894174 + 0.447719i \(0.147764\pi\)
\(608\) 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 −0.999503 0.0315305i \(-0.989962\pi\)
−0.0315305 0.999503i \(-0.510038\pi\)
\(614\) −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 0.778623 0.627492i \(-0.215918\pi\)
−0.932735 + 0.360562i \(0.882585\pi\)
\(618\) 24.1578 13.4096i 0.971768 0.539411i
\(619\) −8.43446 31.4778i −0.339009 1.26520i −0.899457 0.437010i \(-0.856037\pi\)
0.560447 0.828190i \(-0.310629\pi\)
\(620\) 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 0.723466 0.690360i \(-0.242548\pi\)
−0.236136 + 0.971720i \(0.575881\pi\)
\(642\) 23.4092 22.6328i 0.923889 0.893245i
\(643\) 3.10018 11.5700i 0.122259 0.456277i −0.877468 0.479635i \(-0.840769\pi\)
0.999727 + 0.0233581i \(0.00743578\pi\)
\(644\) −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 \(0.0203280\pi\)
−0.997961 + 0.0638189i \(0.979672\pi\)
\(648\) 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 −0.966432 0.256921i \(-0.917292\pi\)
0.965416 + 0.260716i \(0.0839587\pi\)
\(654\) 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 0.992897 + 0.118975i \(0.0379609\pi\)
−0.800387 + 0.599484i \(0.795372\pi\)
\(660\) −0.494320 2.35732i −0.0192414 0.0917585i
\(661\) −7.13036 + 26.6109i −0.277339 + 1.03504i 0.676919 + 0.736058i \(0.263315\pi\)
−0.954258 + 0.298985i \(0.903352\pi\)
\(662\) 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 −0.0778289 0.996967i \(-0.524799\pi\)
0.902313 0.431082i \(-0.141868\pi\)
\(674\) 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 0.993713 0.111960i \(-0.0357127\pi\)
−0.916560 + 0.399897i \(0.869046\pi\)
\(678\) 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 0.967299 + 0.253637i \(0.0816269\pi\)
0.253637 + 0.967299i \(0.418373\pi\)
\(684\) −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 0.342493 0.939520i \(-0.388729\pi\)
0.766368 + 0.642402i \(0.222062\pi\)
\(692\) 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 0.564063 0.825732i \(-0.309237\pi\)
−0.825732 + 0.564063i \(0.809237\pi\)
\(702\) 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 −0.526228 0.850344i \(-0.676394\pi\)
−0.0305546 + 0.999533i \(0.509727\pi\)
\(710\) −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 −0.966438 0.256900i \(-0.917299\pi\)
0.705701 + 0.708510i \(0.250632\pi\)
\(728\) −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 0.263138 0.964758i \(-0.415243\pi\)
−0.254495 + 0.967074i \(0.581909\pi\)
\(734\) −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 0.571447 0.820639i \(-0.306382\pi\)
−0.820639 + 0.571447i \(0.806382\pi\)
\(740\) 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 −0.593469 0.804857i \(-0.702242\pi\)
0.400292 + 0.916388i \(0.368909\pi\)
\(744\) 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 −0.839328 0.543625i \(-0.817051\pi\)
0.0511293 + 0.998692i \(0.483718\pi\)
\(752\) −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 1.00000 0.000211103i \(-6.71963e-5\pi\)
−0.000211103 1.00000i \(0.500067\pi\)
\(758\) 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 0.797431 0.603411i \(-0.206192\pi\)
−0.921284 + 0.388890i \(0.872859\pi\)
\(762\) 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 0.844277 0.535908i \(-0.180031\pi\)
−0.886248 + 0.463211i \(0.846697\pi\)
\(770\) 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