Properties

Label 441.2.y.a.151.36
Level $441$
Weight $2$
Character 441.151
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.y (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 151.36
Character \(\chi\) \(=\) 441.151
Dual form 441.2.y.a.184.36

$q$-expansion

\(f(q)\) \(=\) \(q+(0.971896 - 0.468040i) q^{2} +(-1.40353 - 1.01494i) q^{3} +(-0.521460 + 0.653890i) q^{4} +(1.57571 + 1.46205i) q^{5} +(-1.83912 - 0.329504i) q^{6} +(-2.14883 - 1.54355i) q^{7} +(-0.680835 + 2.98293i) q^{8} +(0.939804 + 2.84899i) q^{9} +O(q^{10})\) \(q+(0.971896 - 0.468040i) q^{2} +(-1.40353 - 1.01494i) q^{3} +(-0.521460 + 0.653890i) q^{4} +(1.57571 + 1.46205i) q^{5} +(-1.83912 - 0.329504i) q^{6} +(-2.14883 - 1.54355i) q^{7} +(-0.680835 + 2.98293i) q^{8} +(0.939804 + 2.84899i) q^{9} +(2.21572 + 0.683461i) q^{10} +(1.27139 + 0.866821i) q^{11} +(1.39554 - 0.388506i) q^{12} +(5.49838 + 3.74873i) q^{13} +(-2.81088 - 0.494430i) q^{14} +(-0.727676 - 3.65128i) q^{15} +(0.362219 + 1.58698i) q^{16} +(-1.49795 + 0.225779i) q^{17} +(2.24684 + 2.32906i) q^{18} +(0.0797763 + 0.138177i) q^{19} +(-1.77769 + 0.267943i) q^{20} +(1.44934 + 4.34734i) q^{21} +(1.64137 + 0.247396i) q^{22} +(3.01050 + 7.67062i) q^{23} +(3.98306 - 3.49564i) q^{24} +(-0.0283640 - 0.378492i) q^{25} +(7.09841 + 1.06991i) q^{26} +(1.57251 - 4.95250i) q^{27} +(2.12984 - 0.600198i) q^{28} +(-0.550634 + 0.0829947i) q^{29} +(-2.41617 - 3.20808i) q^{30} +2.50671 q^{31} +(-2.72050 - 3.41140i) q^{32} +(-0.904671 - 2.50699i) q^{33} +(-1.35017 + 0.920533i) q^{34} +(-1.12919 - 5.57387i) q^{35} +(-2.35300 - 0.871107i) q^{36} +(-2.78152 + 7.08721i) q^{37} +(0.142206 + 0.0969547i) q^{38} +(-3.91242 - 10.8420i) q^{39} +(-5.43398 + 3.70483i) q^{40} +(1.12125 - 0.345861i) q^{41} +(3.44334 + 3.54682i) q^{42} +(-10.4898 - 3.23568i) q^{43} +(-1.22978 + 0.379338i) q^{44} +(-2.68450 + 5.86323i) q^{45} +(6.51605 + 6.04601i) q^{46} +(10.6179 - 5.11333i) q^{47} +(1.10230 - 2.59501i) q^{48} +(2.23492 + 6.63364i) q^{49} +(-0.204716 - 0.354579i) q^{50} +(2.33157 + 1.20343i) q^{51} +(-5.31844 + 1.64052i) q^{52} +(-1.33427 - 3.39968i) q^{53} +(-0.789657 - 5.54931i) q^{54} +(0.736015 + 3.22469i) q^{55} +(6.06729 - 5.35890i) q^{56} +(0.0282720 - 0.274903i) q^{57} +(-0.496314 + 0.338381i) q^{58} +(-1.10671 - 4.84882i) q^{59} +(2.76699 + 1.42817i) q^{60} +(2.37394 + 2.97683i) q^{61} +(2.43626 - 1.17324i) q^{62} +(2.37808 - 7.57263i) q^{63} +(-7.17390 - 3.45477i) q^{64} +(3.18304 + 13.9458i) q^{65} +(-2.05262 - 2.01311i) q^{66} -7.07943 q^{67} +(0.633484 - 1.09723i) q^{68} +(3.55987 - 13.8214i) q^{69} +(-3.70626 - 4.88872i) q^{70} +(2.11332 - 2.65002i) q^{71} +(-9.13821 + 0.863677i) q^{72} +(-0.118698 + 0.0809267i) q^{73} +(0.613748 + 8.18989i) q^{74} +(-0.344336 + 0.560013i) q^{75} +(-0.131952 - 0.0198886i) q^{76} +(-1.39402 - 3.82510i) q^{77} +(-8.87695 - 8.70610i) q^{78} -4.29251 q^{79} +(-1.74949 + 3.03021i) q^{80} +(-7.23354 + 5.35499i) q^{81} +(0.927866 - 0.860934i) q^{82} +(-1.31861 + 0.899014i) q^{83} +(-3.59846 - 1.31925i) q^{84} +(-2.69043 - 1.83430i) q^{85} +(-11.7094 + 1.76491i) q^{86} +(0.857067 + 0.442373i) q^{87} +(-3.45127 + 3.20231i) q^{88} +(0.741635 + 9.89644i) q^{89} +(0.135172 + 6.95491i) q^{90} +(-6.02872 - 16.5424i) q^{91} +(-6.58559 - 2.03139i) q^{92} +(-3.51824 - 2.54415i) q^{93} +(7.92628 - 9.93924i) q^{94} +(-0.0763162 + 0.334363i) q^{95} +(0.355952 + 7.54915i) q^{96} +(3.34735 - 5.79779i) q^{97} +(5.27692 + 5.40117i) q^{98} +(-1.27471 + 4.43683i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648q - 5q^{2} - 13q^{3} - 109q^{4} - 12q^{5} + 2q^{6} - 7q^{7} - 16q^{8} - 3q^{9} + O(q^{10}) \) \( 648q - 5q^{2} - 13q^{3} - 109q^{4} - 12q^{5} + 2q^{6} - 7q^{7} - 16q^{8} - 3q^{9} - 22q^{10} - 8q^{11} - 64q^{12} - 4q^{13} - 26q^{14} - 4q^{15} - 97q^{16} - 37q^{17} - q^{18} - 14q^{19} - 11q^{20} - 33q^{21} - q^{22} + 31q^{23} - 20q^{24} + 38q^{25} - 44q^{26} - 49q^{27} - 22q^{28} + 73q^{29} - 12q^{30} - 20q^{31} - q^{32} - 43q^{33} - 7q^{34} - 32q^{35} + 20q^{36} - 39q^{37} - 40q^{38} + q^{39} - q^{40} - 17q^{41} + 82q^{42} - q^{43} - 31q^{44} - 177q^{45} + 56q^{46} + 5q^{47} - 23q^{48} - q^{49} - 21q^{50} - 18q^{51} - 48q^{52} + 50q^{53} - 15q^{54} + 20q^{55} + 127q^{56} + 33q^{57} - 82q^{58} + 53q^{59} + 43q^{60} + 42q^{61} - 30q^{62} + 57q^{63} - 88q^{64} - 11q^{65} - 90q^{66} - 26q^{67} + 145q^{68} + 64q^{69} - 46q^{70} - 19q^{71} - 46q^{72} - 40q^{73} + 18q^{74} - 114q^{75} + 43q^{76} + 7q^{77} - 129q^{78} - 26q^{79} + 163q^{80} + 85q^{81} - 28q^{82} - 221q^{83} - 113q^{84} - 10q^{85} - 18q^{86} + 37q^{87} - 4q^{88} - 104q^{89} - 60q^{90} - 49q^{91} + 119q^{92} - 149q^{93} - 13q^{94} + 37q^{95} + 186q^{96} - 11q^{97} - 33q^{98} + 62q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{5}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.971896 0.468040i 0.687234 0.330955i −0.0574718 0.998347i \(-0.518304\pi\)
0.744706 + 0.667393i \(0.232590\pi\)
\(3\) −1.40353 1.01494i −0.810330 0.585974i
\(4\) −0.521460 + 0.653890i −0.260730 + 0.326945i
\(5\) 1.57571 + 1.46205i 0.704680 + 0.653847i 0.948793 0.315900i \(-0.102306\pi\)
−0.244113 + 0.969747i \(0.578497\pi\)
\(6\) −1.83912 0.329504i −0.750817 0.134519i
\(7\) −2.14883 1.54355i −0.812180 0.583406i
\(8\) −0.680835 + 2.98293i −0.240711 + 1.05463i
\(9\) 0.939804 + 2.84899i 0.313268 + 0.949665i
\(10\) 2.21572 + 0.683461i 0.700674 + 0.216129i
\(11\) 1.27139 + 0.866821i 0.383339 + 0.261356i 0.739623 0.673022i \(-0.235004\pi\)
−0.356284 + 0.934378i \(0.615956\pi\)
\(12\) 1.39554 0.388506i 0.402858 0.112152i
\(13\) 5.49838 + 3.74873i 1.52498 + 1.03971i 0.979467 + 0.201606i \(0.0646159\pi\)
0.545509 + 0.838105i \(0.316336\pi\)
\(14\) −2.81088 0.494430i −0.751239 0.132142i
\(15\) −0.727676 3.65128i −0.187885 0.942756i
\(16\) 0.362219 + 1.58698i 0.0905547 + 0.396746i
\(17\) −1.49795 + 0.225779i −0.363305 + 0.0547595i −0.328158 0.944623i \(-0.606428\pi\)
−0.0351469 + 0.999382i \(0.511190\pi\)
\(18\) 2.24684 + 2.32906i 0.529584 + 0.548965i
\(19\) 0.0797763 + 0.138177i 0.0183019 + 0.0316999i 0.875031 0.484066i \(-0.160841\pi\)
−0.856729 + 0.515766i \(0.827507\pi\)
\(20\) −1.77769 + 0.267943i −0.397503 + 0.0599139i
\(21\) 1.44934 + 4.34734i 0.316273 + 0.948668i
\(22\) 1.64137 + 0.247396i 0.349941 + 0.0527451i
\(23\) 3.01050 + 7.67062i 0.627732 + 1.59943i 0.790288 + 0.612735i \(0.209931\pi\)
−0.162556 + 0.986699i \(0.551974\pi\)
\(24\) 3.98306 3.49564i 0.813039 0.713544i
\(25\) −0.0283640 0.378492i −0.00567281 0.0756984i
\(26\) 7.09841 + 1.06991i 1.39211 + 0.209827i
\(27\) 1.57251 4.95250i 0.302629 0.953108i
\(28\) 2.12984 0.600198i 0.402501 0.113427i
\(29\) −0.550634 + 0.0829947i −0.102250 + 0.0154117i −0.199968 0.979802i \(-0.564084\pi\)
0.0977178 + 0.995214i \(0.468846\pi\)
\(30\) −2.41617 3.20808i −0.441130 0.585713i
\(31\) 2.50671 0.450218 0.225109 0.974334i \(-0.427726\pi\)
0.225109 + 0.974334i \(0.427726\pi\)
\(32\) −2.72050 3.41140i −0.480921 0.603056i
\(33\) −0.904671 2.50699i −0.157483 0.436412i
\(34\) −1.35017 + 0.920533i −0.231553 + 0.157870i
\(35\) −1.12919 5.57387i −0.190868 0.942156i
\(36\) −2.35300 0.871107i −0.392166 0.145185i
\(37\) −2.78152 + 7.08721i −0.457280 + 1.16513i 0.497407 + 0.867517i \(0.334285\pi\)
−0.954687 + 0.297612i \(0.903810\pi\)
\(38\) 0.142206 + 0.0969547i 0.0230689 + 0.0157281i
\(39\) −3.91242 10.8420i −0.626489 1.73610i
\(40\) −5.43398 + 3.70483i −0.859188 + 0.585785i
\(41\) 1.12125 0.345861i 0.175111 0.0540145i −0.205960 0.978560i \(-0.566032\pi\)
0.381071 + 0.924546i \(0.375555\pi\)
\(42\) 3.44334 + 3.54682i 0.531320 + 0.547286i
\(43\) −10.4898 3.23568i −1.59968 0.493436i −0.638562 0.769570i \(-0.720470\pi\)
−0.961119 + 0.276134i \(0.910947\pi\)
\(44\) −1.22978 + 0.379338i −0.185397 + 0.0571874i
\(45\) −2.68450 + 5.86323i −0.400182 + 0.874039i
\(46\) 6.51605 + 6.04601i 0.960739 + 0.891436i
\(47\) 10.6179 5.11333i 1.54878 0.745855i 0.552626 0.833429i \(-0.313626\pi\)
0.996158 + 0.0875740i \(0.0279114\pi\)
\(48\) 1.10230 2.59501i 0.159104 0.374558i
\(49\) 2.23492 + 6.63364i 0.319274 + 0.947662i
\(50\) −0.204716 0.354579i −0.0289513 0.0501451i
\(51\) 2.33157 + 1.20343i 0.326485 + 0.168514i
\(52\) −5.31844 + 1.64052i −0.737535 + 0.227499i
\(53\) −1.33427 3.39968i −0.183277 0.466981i 0.809477 0.587152i \(-0.199751\pi\)
−0.992753 + 0.120171i \(0.961656\pi\)
\(54\) −0.789657 5.54931i −0.107459 0.755165i
\(55\) 0.736015 + 3.22469i 0.0992443 + 0.434818i
\(56\) 6.06729 5.35890i 0.810776 0.716114i
\(57\) 0.0282720 0.274903i 0.00374472 0.0364118i
\(58\) −0.496314 + 0.338381i −0.0651693 + 0.0444316i
\(59\) −1.10671 4.84882i −0.144081 0.631262i −0.994462 0.105094i \(-0.966486\pi\)
0.850381 0.526168i \(-0.176372\pi\)
\(60\) 2.76699 + 1.42817i 0.357216 + 0.184376i
\(61\) 2.37394 + 2.97683i 0.303952 + 0.381144i 0.910226 0.414112i \(-0.135908\pi\)
−0.606274 + 0.795256i \(0.707336\pi\)
\(62\) 2.43626 1.17324i 0.309405 0.149002i
\(63\) 2.37808 7.57263i 0.299610 0.954062i
\(64\) −7.17390 3.45477i −0.896738 0.431846i
\(65\) 3.18304 + 13.9458i 0.394807 + 1.72976i
\(66\) −2.05262 2.01311i −0.252660 0.247797i
\(67\) −7.07943 −0.864890 −0.432445 0.901660i \(-0.642349\pi\)
−0.432445 + 0.901660i \(0.642349\pi\)
\(68\) 0.633484 1.09723i 0.0768212 0.133058i
\(69\) 3.55987 13.8214i 0.428558 1.66390i
\(70\) −3.70626 4.88872i −0.442982 0.584313i
\(71\) 2.11332 2.65002i 0.250805 0.314499i −0.640452 0.767998i \(-0.721253\pi\)
0.891257 + 0.453499i \(0.149824\pi\)
\(72\) −9.13821 + 0.863677i −1.07695 + 0.101785i
\(73\) −0.118698 + 0.0809267i −0.0138925 + 0.00947175i −0.570246 0.821474i \(-0.693152\pi\)
0.556354 + 0.830945i \(0.312200\pi\)
\(74\) 0.613748 + 8.18989i 0.0713467 + 0.952056i
\(75\) −0.344336 + 0.560013i −0.0397605 + 0.0646648i
\(76\) −0.131952 0.0198886i −0.0151360 0.00228138i
\(77\) −1.39402 3.82510i −0.158864 0.435911i
\(78\) −8.87695 8.70610i −1.00512 0.985771i
\(79\) −4.29251 −0.482945 −0.241473 0.970408i \(-0.577630\pi\)
−0.241473 + 0.970408i \(0.577630\pi\)
\(80\) −1.74949 + 3.03021i −0.195599 + 0.338788i
\(81\) −7.23354 + 5.35499i −0.803726 + 0.594999i
\(82\) 0.927866 0.860934i 0.102466 0.0950742i
\(83\) −1.31861 + 0.899014i −0.144736 + 0.0986796i −0.633523 0.773724i \(-0.718392\pi\)
0.488787 + 0.872403i \(0.337440\pi\)
\(84\) −3.59846 1.31925i −0.392624 0.143942i
\(85\) −2.69043 1.83430i −0.291818 0.198958i
\(86\) −11.7094 + 1.76491i −1.26266 + 0.190315i
\(87\) 0.857067 + 0.442373i 0.0918872 + 0.0474274i
\(88\) −3.45127 + 3.20231i −0.367907 + 0.341368i
\(89\) 0.741635 + 9.89644i 0.0786132 + 1.04902i 0.887425 + 0.460952i \(0.152492\pi\)
−0.808812 + 0.588068i \(0.799889\pi\)
\(90\) 0.135172 + 6.95491i 0.0142484 + 0.733111i
\(91\) −6.02872 16.5424i −0.631981 1.73411i
\(92\) −6.58559 2.03139i −0.686595 0.211787i
\(93\) −3.51824 2.54415i −0.364825 0.263816i
\(94\) 7.92628 9.93924i 0.817533 1.02515i
\(95\) −0.0763162 + 0.334363i −0.00782987 + 0.0343049i
\(96\) 0.355952 + 7.54915i 0.0363292 + 0.770482i
\(97\) 3.34735 5.79779i 0.339872 0.588676i −0.644536 0.764574i \(-0.722949\pi\)
0.984408 + 0.175898i \(0.0562828\pi\)
\(98\) 5.27692 + 5.40117i 0.533049 + 0.545601i
\(99\) −1.27471 + 4.43683i −0.128113 + 0.445918i
\(100\) 0.262283 + 0.178821i 0.0262283 + 0.0178821i
\(101\) 9.26560 2.85806i 0.921962 0.284388i 0.202792 0.979222i \(-0.434998\pi\)
0.719170 + 0.694834i \(0.244522\pi\)
\(102\) 2.82930 + 0.0783446i 0.280142 + 0.00775727i
\(103\) −9.54690 8.85823i −0.940684 0.872827i 0.0513653 0.998680i \(-0.483643\pi\)
−0.992049 + 0.125853i \(0.959833\pi\)
\(104\) −14.9257 + 13.8490i −1.46358 + 1.35801i
\(105\) −4.07227 + 8.96917i −0.397413 + 0.875301i
\(106\) −2.88796 2.67964i −0.280504 0.260269i
\(107\) −0.876798 11.7001i −0.0847633 1.13109i −0.863707 0.503994i \(-0.831863\pi\)
0.778944 0.627093i \(-0.215756\pi\)
\(108\) 2.41839 + 3.61077i 0.232710 + 0.347447i
\(109\) −1.06139 + 14.1633i −0.101663 + 1.35660i 0.680143 + 0.733079i \(0.261917\pi\)
−0.781807 + 0.623521i \(0.785702\pi\)
\(110\) 2.22462 + 2.78958i 0.212109 + 0.265976i
\(111\) 11.0970 7.12405i 1.05328 0.676185i
\(112\) 1.67124 3.96926i 0.157917 0.375059i
\(113\) −1.43098 19.0951i −0.134616 1.79632i −0.500580 0.865690i \(-0.666880\pi\)
0.365964 0.930629i \(-0.380739\pi\)
\(114\) −0.101188 0.280410i −0.00947716 0.0262628i
\(115\) −6.47113 + 16.4882i −0.603436 + 1.53753i
\(116\) 0.232864 0.403332i 0.0216209 0.0374485i
\(117\) −5.51271 + 19.1879i −0.509651 + 1.77392i
\(118\) −3.34505 4.19456i −0.307937 0.386141i
\(119\) 3.56733 + 1.82699i 0.327017 + 0.167480i
\(120\) 11.3869 + 0.315310i 1.03948 + 0.0287837i
\(121\) −3.15369 8.03547i −0.286699 0.730498i
\(122\) 3.70050 + 1.78207i 0.335027 + 0.161341i
\(123\) −1.92474 0.652576i −0.173548 0.0588408i
\(124\) −1.30715 + 1.63911i −0.117385 + 0.147196i
\(125\) 7.20971 9.04069i 0.644856 0.808623i
\(126\) −1.23305 8.47285i −0.109849 0.754821i
\(127\) 10.8443 + 13.5984i 0.962280 + 1.20666i 0.978385 + 0.206791i \(0.0663020\pi\)
−0.0161048 + 0.999870i \(0.505127\pi\)
\(128\) 0.137429 0.0121472
\(129\) 11.4388 + 15.1879i 1.00713 + 1.33722i
\(130\) 9.62078 + 12.0641i 0.843798 + 1.05809i
\(131\) 10.4663 + 3.22844i 0.914449 + 0.282070i 0.716048 0.698051i \(-0.245949\pi\)
0.198401 + 0.980121i \(0.436425\pi\)
\(132\) 2.11105 + 0.715741i 0.183743 + 0.0622973i
\(133\) 0.0418567 0.420056i 0.00362944 0.0364235i
\(134\) −6.88047 + 3.31346i −0.594382 + 0.286239i
\(135\) 9.71860 5.50463i 0.836444 0.473763i
\(136\) 0.346370 4.62199i 0.0297010 0.396332i
\(137\) 7.18105 6.66304i 0.613518 0.569262i −0.310995 0.950412i \(-0.600662\pi\)
0.924513 + 0.381150i \(0.124472\pi\)
\(138\) −3.00916 15.0992i −0.256157 1.28533i
\(139\) 3.29593 1.01666i 0.279557 0.0862318i −0.151806 0.988410i \(-0.548509\pi\)
0.431363 + 0.902178i \(0.358033\pi\)
\(140\) 4.23353 + 2.16818i 0.357798 + 0.183245i
\(141\) −20.0923 3.59982i −1.69208 0.303159i
\(142\) 0.813610 3.56466i 0.0682767 0.299140i
\(143\) 3.74112 + 9.53221i 0.312848 + 0.797124i
\(144\) −4.18089 + 2.52341i −0.348408 + 0.210284i
\(145\) −0.988983 0.674277i −0.0821305 0.0559957i
\(146\) −0.0774848 + 0.134208i −0.00641269 + 0.0111071i
\(147\) 3.59595 11.5788i 0.296589 0.955005i
\(148\) −3.18380 5.51450i −0.261707 0.453289i
\(149\) −0.197167 + 2.63102i −0.0161526 + 0.215541i 0.983287 + 0.182063i \(0.0582775\pi\)
−0.999439 + 0.0334782i \(0.989342\pi\)
\(150\) −0.0725497 + 0.705438i −0.00592366 + 0.0575987i
\(151\) 20.3111 + 3.06140i 1.65289 + 0.249133i 0.908280 0.418363i \(-0.137396\pi\)
0.744613 + 0.667497i \(0.232634\pi\)
\(152\) −0.466486 + 0.143892i −0.0378370 + 0.0116712i
\(153\) −2.05102 4.05545i −0.165815 0.327864i
\(154\) −3.14515 3.06514i −0.253443 0.246996i
\(155\) 3.94984 + 3.66492i 0.317259 + 0.294373i
\(156\) 9.12962 + 3.09536i 0.730955 + 0.247827i
\(157\) −2.39501 10.4932i −0.191143 0.837450i −0.975999 0.217773i \(-0.930121\pi\)
0.784857 0.619677i \(-0.212736\pi\)
\(158\) −4.17187 + 2.00907i −0.331896 + 0.159833i
\(159\) −1.57776 + 6.12576i −0.125125 + 0.485804i
\(160\) 0.700902 9.35288i 0.0554111 0.739410i
\(161\) 5.37093 21.1297i 0.423289 1.66525i
\(162\) −4.52389 + 8.59008i −0.355431 + 0.674901i
\(163\) 7.57388 7.02753i 0.593232 0.550439i −0.325388 0.945580i \(-0.605495\pi\)
0.918620 + 0.395142i \(0.129305\pi\)
\(164\) −0.358534 + 0.913530i −0.0279968 + 0.0713347i
\(165\) 2.23984 5.27297i 0.174371 0.410500i
\(166\) −0.860778 + 1.49091i −0.0668093 + 0.115717i
\(167\) −2.51288 + 6.40272i −0.194453 + 0.495457i −0.994531 0.104438i \(-0.966696\pi\)
0.800079 + 0.599895i \(0.204791\pi\)
\(168\) −13.9546 + 1.36347i −1.07662 + 0.105194i
\(169\) 11.4297 + 29.1225i 0.879211 + 2.24019i
\(170\) −3.47335 0.523523i −0.266394 0.0401524i
\(171\) −0.318690 + 0.357141i −0.0243708 + 0.0273113i
\(172\) 7.58579 5.17190i 0.578411 0.394354i
\(173\) 9.49159 11.9021i 0.721632 0.904898i −0.276797 0.960928i \(-0.589273\pi\)
0.998429 + 0.0560305i \(0.0178444\pi\)
\(174\) 1.04003 + 0.0287989i 0.0788444 + 0.00218324i
\(175\) −0.523271 + 0.857095i −0.0395556 + 0.0647903i
\(176\) −0.915108 + 2.33166i −0.0689789 + 0.175755i
\(177\) −3.36794 + 7.92871i −0.253150 + 0.595959i
\(178\) 5.35273 + 9.27119i 0.401204 + 0.694905i
\(179\) 17.5418 2.64400i 1.31113 0.197622i 0.543988 0.839093i \(-0.316914\pi\)
0.767147 + 0.641471i \(0.221676\pi\)
\(180\) −2.43405 4.81281i −0.181423 0.358725i
\(181\) −2.78441 1.34090i −0.206963 0.0996683i 0.327531 0.944841i \(-0.393784\pi\)
−0.534494 + 0.845172i \(0.679498\pi\)
\(182\) −13.6018 13.2558i −1.00823 0.982585i
\(183\) −0.310608 6.58747i −0.0229608 0.486960i
\(184\) −24.9306 + 3.75768i −1.83791 + 0.277020i
\(185\) −14.7447 + 7.10067i −1.08405 + 0.522052i
\(186\) −4.61013 0.825969i −0.338031 0.0605630i
\(187\) −2.10019 1.01140i −0.153581 0.0739607i
\(188\) −2.19327 + 9.60935i −0.159961 + 0.700834i
\(189\) −11.0235 + 8.21482i −0.801839 + 0.597540i
\(190\) 0.0823240 + 0.360685i 0.00597241 + 0.0261668i
\(191\) −1.86145 + 8.15554i −0.134690 + 0.590114i 0.861862 + 0.507143i \(0.169298\pi\)
−0.996552 + 0.0829716i \(0.973559\pi\)
\(192\) 6.56243 + 12.1299i 0.473603 + 0.875403i
\(193\) 1.80304 7.89965i 0.129786 0.568629i −0.867657 0.497163i \(-0.834375\pi\)
0.997443 0.0714662i \(-0.0227678\pi\)
\(194\) 0.539681 7.20154i 0.0387468 0.517041i
\(195\) 9.68662 22.8040i 0.693673 1.63303i
\(196\) −5.50309 1.99778i −0.393078 0.142699i
\(197\) −0.572330 −0.0407768 −0.0203884 0.999792i \(-0.506490\pi\)
−0.0203884 + 0.999792i \(0.506490\pi\)
\(198\) 0.837733 + 4.90875i 0.0595351 + 0.348850i
\(199\) −7.44006 6.90337i −0.527412 0.489367i 0.370932 0.928660i \(-0.379038\pi\)
−0.898344 + 0.439293i \(0.855229\pi\)
\(200\) 1.14833 + 0.173082i 0.0811990 + 0.0122388i
\(201\) 9.93620 + 7.18518i 0.700846 + 0.506803i
\(202\) 7.66751 7.11441i 0.539484 0.500568i
\(203\) 1.31132 + 0.671589i 0.0920369 + 0.0471363i
\(204\) −2.00273 + 0.897046i −0.140219 + 0.0628058i
\(205\) 2.27244 + 1.09435i 0.158714 + 0.0764327i
\(206\) −13.4246 4.14094i −0.935336 0.288513i
\(207\) −19.0243 + 15.7858i −1.32228 + 1.09719i
\(208\) −3.95756 + 10.0837i −0.274407 + 0.699178i
\(209\) −0.0183473 + 0.244828i −0.00126911 + 0.0169351i
\(210\) 0.240107 + 10.6231i 0.0165690 + 0.733063i
\(211\) 1.97884 + 26.4058i 0.136229 + 1.81785i 0.478323 + 0.878184i \(0.341245\pi\)
−0.342094 + 0.939666i \(0.611136\pi\)
\(212\) 2.91878 + 0.900325i 0.200463 + 0.0618346i
\(213\) −5.65571 + 1.57450i −0.387523 + 0.107883i
\(214\) −6.32826 10.9609i −0.432591 0.749269i
\(215\) −11.7982 20.4351i −0.804631 1.39366i
\(216\) 13.7023 + 8.06251i 0.932326 + 0.548584i
\(217\) −5.38648 3.86922i −0.365658 0.262660i
\(218\) 5.59744 + 14.2621i 0.379107 + 0.965948i
\(219\) 0.248732 + 0.00688749i 0.0168077 + 0.000465414i
\(220\) −2.49240 1.20027i −0.168037 0.0809225i
\(221\) −9.08266 4.37398i −0.610966 0.294226i
\(222\) 7.45081 12.1177i 0.500066 0.813286i
\(223\) −7.09587 18.0800i −0.475174 1.21072i −0.944738 0.327826i \(-0.893684\pi\)
0.469564 0.882899i \(-0.344411\pi\)
\(224\) 0.580226 + 11.5297i 0.0387680 + 0.770363i
\(225\) 1.05166 0.436517i 0.0701110 0.0291012i
\(226\) −10.3281 17.8887i −0.687013 1.18994i
\(227\) −9.45461 16.3759i −0.627524 1.08690i −0.988047 0.154154i \(-0.950735\pi\)
0.360522 0.932751i \(-0.382598\pi\)
\(228\) 0.165014 + 0.161838i 0.0109283 + 0.0107180i
\(229\) 6.76973 + 2.08818i 0.447356 + 0.137991i 0.510244 0.860029i \(-0.329555\pi\)
−0.0628882 + 0.998021i \(0.520031\pi\)
\(230\) 1.42787 + 19.0535i 0.0941506 + 1.25635i
\(231\) −1.92568 + 6.78350i −0.126701 + 0.446322i
\(232\) 0.127323 1.69901i 0.00835918 0.111545i
\(233\) 4.70568 11.9899i 0.308279 0.785482i −0.689827 0.723974i \(-0.742314\pi\)
0.998107 0.0615085i \(-0.0195911\pi\)
\(234\) 3.62294 + 21.2288i 0.236839 + 1.38777i
\(235\) 24.2067 + 7.46678i 1.57907 + 0.487079i
\(236\) 3.74770 + 1.80480i 0.243954 + 0.117482i
\(237\) 6.02467 + 4.35663i 0.391345 + 0.282993i
\(238\) 4.32218 + 0.105992i 0.280165 + 0.00687044i
\(239\) −10.1065 + 9.37750i −0.653738 + 0.606580i −0.935679 0.352852i \(-0.885212\pi\)
0.281941 + 0.959432i \(0.409022\pi\)
\(240\) 5.53094 2.47737i 0.357021 0.159914i
\(241\) 5.49101 + 0.827637i 0.353707 + 0.0533128i 0.323493 0.946231i \(-0.395143\pi\)
0.0302144 + 0.999543i \(0.490381\pi\)
\(242\) −6.82599 6.33359i −0.438791 0.407139i
\(243\) 15.5875 0.174317i 0.999937 0.0111824i
\(244\) −3.18443 −0.203862
\(245\) −6.17710 + 13.7203i −0.394640 + 0.876555i
\(246\) −2.17608 + 0.266622i −0.138742 + 0.0169992i
\(247\) −0.0793466 + 1.05881i −0.00504870 + 0.0673702i
\(248\) −1.70665 + 7.47733i −0.108373 + 0.474811i
\(249\) 2.76316 + 0.0765131i 0.175108 + 0.00484882i
\(250\) 2.77568 12.1610i 0.175549 0.769132i
\(251\) −4.70351 20.6074i −0.296883 1.30073i −0.874741 0.484591i \(-0.838968\pi\)
0.577858 0.816137i \(-0.303889\pi\)
\(252\) 3.71159 + 5.50382i 0.233808 + 0.346708i
\(253\) −2.82153 + 12.3619i −0.177388 + 0.777188i
\(254\) 16.9042 + 8.14062i 1.06066 + 0.510788i
\(255\) 1.91440 + 5.30512i 0.119884 + 0.332220i
\(256\) 14.4814 6.97386i 0.905086 0.435866i
\(257\) 16.4576 2.48058i 1.02660 0.154735i 0.385910 0.922536i \(-0.373888\pi\)
0.640687 + 0.767802i \(0.278649\pi\)
\(258\) 18.2258 + 9.40723i 1.13469 + 0.585669i
\(259\) 16.9165 10.9358i 1.05114 0.679515i
\(260\) −10.7788 5.19082i −0.668475 0.321921i
\(261\) −0.753940 1.49075i −0.0466677 0.0922754i
\(262\) 11.6832 1.76097i 0.721793 0.108793i
\(263\) 1.41652 + 2.45349i 0.0873466 + 0.151289i 0.906389 0.422445i \(-0.138828\pi\)
−0.819042 + 0.573733i \(0.805495\pi\)
\(264\) 8.09412 0.991724i 0.498159 0.0610364i
\(265\) 2.86805 7.30768i 0.176183 0.448907i
\(266\) −0.155923 0.427841i −0.00956024 0.0262326i
\(267\) 9.00335 14.6427i 0.550996 0.896117i
\(268\) 3.69164 4.62916i 0.225502 0.282771i
\(269\) −1.38500 + 0.944274i −0.0844447 + 0.0575734i −0.604806 0.796373i \(-0.706750\pi\)
0.520362 + 0.853946i \(0.325797\pi\)
\(270\) 6.86908 9.89862i 0.418039 0.602411i
\(271\) −0.907745 0.136821i −0.0551416 0.00831125i 0.121414 0.992602i \(-0.461257\pi\)
−0.176555 + 0.984291i \(0.556495\pi\)
\(272\) −0.900892 2.29543i −0.0546246 0.139181i
\(273\) −8.32799 + 29.3365i −0.504033 + 1.77553i
\(274\) 3.86066 9.83680i 0.233231 0.594263i
\(275\) 0.292023 0.505798i 0.0176096 0.0305008i
\(276\) 7.18136 + 9.53508i 0.432267 + 0.573944i
\(277\) 1.34347 3.42311i 0.0807214 0.205675i −0.884815 0.465942i \(-0.845715\pi\)
0.965537 + 0.260267i \(0.0838107\pi\)
\(278\) 2.72746 2.53071i 0.163582 0.151782i
\(279\) 2.35581 + 7.14159i 0.141039 + 0.427556i
\(280\) 17.3953 + 0.426581i 1.03957 + 0.0254931i
\(281\) 1.78143 23.7716i 0.106271 1.41809i −0.648055 0.761593i \(-0.724417\pi\)
0.754326 0.656499i \(-0.227964\pi\)
\(282\) −21.2125 + 5.90536i −1.26319 + 0.351659i
\(283\) −16.8047 + 8.09273i −0.998938 + 0.481063i −0.860578 0.509319i \(-0.829897\pi\)
−0.138360 + 0.990382i \(0.544183\pi\)
\(284\) 0.630809 + 2.76375i 0.0374316 + 0.163999i
\(285\) 0.446470 0.391833i 0.0264466 0.0232102i
\(286\) 8.09744 + 7.51333i 0.478812 + 0.444272i
\(287\) −2.94324 0.987514i −0.173734 0.0582911i
\(288\) 7.16232 10.9567i 0.422044 0.645632i
\(289\) −14.0519 + 4.33443i −0.826581 + 0.254966i
\(290\) −1.27678 0.192443i −0.0749749 0.0113007i
\(291\) −10.5825 + 4.74002i −0.620358 + 0.277865i
\(292\) 0.00897891 0.119815i 0.000525451 0.00701165i
\(293\) 8.95057 + 15.5028i 0.522898 + 0.905686i 0.999645 + 0.0266455i \(0.00848251\pi\)
−0.476747 + 0.879041i \(0.658184\pi\)
\(294\) −1.92447 12.9365i −0.112237 0.754470i
\(295\) 5.34534 9.25840i 0.311218 0.539045i
\(296\) −19.2469 13.1223i −1.11870 0.762719i
\(297\) 6.29220 4.93349i 0.365110 0.286270i
\(298\) 1.03980 + 2.64936i 0.0602337 + 0.153473i
\(299\) −12.2022 + 53.4615i −0.705674 + 3.09176i
\(300\) −0.186630 0.517182i −0.0107751 0.0298595i
\(301\) 17.5464 + 23.1444i 1.01136 + 1.33402i
\(302\) 21.1731 6.53104i 1.21838 0.375819i
\(303\) −15.9053 5.39263i −0.913737 0.309798i
\(304\) −0.190387 + 0.176654i −0.0109195 + 0.0101318i
\(305\) −0.611615 + 8.16143i −0.0350210 + 0.467322i
\(306\) −3.89149 2.98152i −0.222462 0.170442i
\(307\) −24.4397 + 11.7696i −1.39485 + 0.671724i −0.972110 0.234527i \(-0.924646\pi\)
−0.422740 + 0.906251i \(0.638932\pi\)
\(308\) 3.22812 + 1.08310i 0.183939 + 0.0617153i
\(309\) 4.40883 + 22.1223i 0.250810 + 1.25849i
\(310\) 5.55417 + 1.71323i 0.315456 + 0.0973052i
\(311\) −8.25572 10.3523i −0.468139 0.587028i 0.490575 0.871399i \(-0.336787\pi\)
−0.958714 + 0.284371i \(0.908215\pi\)
\(312\) 35.0046 4.28890i 1.98174 0.242811i
\(313\) −28.1842 −1.59307 −0.796534 0.604594i \(-0.793335\pi\)
−0.796534 + 0.604594i \(0.793335\pi\)
\(314\) −7.23895 9.07736i −0.408518 0.512265i
\(315\) 14.8187 8.45541i 0.834940 0.476408i
\(316\) 2.23837 2.80683i 0.125918 0.157896i
\(317\) −21.2128 + 26.6000i −1.19143 + 1.49401i −0.364964 + 0.931022i \(0.618919\pi\)
−0.826467 + 0.562985i \(0.809653\pi\)
\(318\) 1.33368 + 6.69206i 0.0747892 + 0.375272i
\(319\) −0.772014 0.371782i −0.0432245 0.0208158i
\(320\) −6.25297 15.9323i −0.349552 0.890643i
\(321\) −10.6442 + 17.3113i −0.594102 + 0.966223i
\(322\) −4.66956 23.0497i −0.260224 1.28451i
\(323\) −0.150698 0.188969i −0.00838506 0.0105145i
\(324\) 0.270423 7.52235i 0.0150235 0.417908i
\(325\) 1.26291 2.18742i 0.0700535 0.121336i
\(326\) 4.07185 10.3749i 0.225519 0.574613i
\(327\) 15.8646 18.8014i 0.877314 1.03972i
\(328\) 0.268291 + 3.58010i 0.0148139 + 0.197678i
\(329\) −30.7088 5.40163i −1.69303 0.297802i
\(330\) −0.291071 6.17312i −0.0160229 0.339819i
\(331\) 15.7570 + 19.7587i 0.866084 + 1.08604i 0.995530 + 0.0944487i \(0.0301088\pi\)
−0.129446 + 0.991587i \(0.541320\pi\)
\(332\) 0.0997466 1.33103i 0.00547430 0.0730495i
\(333\) −22.8055 1.26396i −1.24973 0.0692645i
\(334\) 0.554471 + 7.39890i 0.0303393 + 0.404850i
\(335\) −11.1551 10.3505i −0.609470 0.565506i
\(336\) −6.37418 + 3.87477i −0.347740 + 0.211386i
\(337\) −10.7802 + 10.0025i −0.587233 + 0.544872i −0.916845 0.399244i \(-0.869273\pi\)
0.329612 + 0.944116i \(0.393082\pi\)
\(338\) 24.7390 + 22.9545i 1.34563 + 1.24856i
\(339\) −17.3719 + 28.2530i −0.943514 + 1.53449i
\(340\) 2.60238 0.802729i 0.141134 0.0435341i
\(341\) 3.18701 + 2.17286i 0.172586 + 0.117667i
\(342\) −0.142577 + 0.496264i −0.00770969 + 0.0268349i
\(343\) 5.43688 17.7042i 0.293564 0.955939i
\(344\) 16.7936 29.0874i 0.905452 1.56829i
\(345\) 25.8169 16.5739i 1.38993 0.892308i
\(346\) 3.65418 16.0100i 0.196450 0.860704i
\(347\) −10.7407 + 13.4684i −0.576588 + 0.723019i −0.981527 0.191325i \(-0.938722\pi\)
0.404938 + 0.914344i \(0.367293\pi\)
\(348\) −0.736189 + 0.329747i −0.0394639 + 0.0176763i
\(349\) 16.8489 + 5.19720i 0.901901 + 0.278200i 0.710819 0.703375i \(-0.248324\pi\)
0.191082 + 0.981574i \(0.438800\pi\)
\(350\) −0.107410 + 1.07792i −0.00574130 + 0.0576172i
\(351\) 27.2118 21.3358i 1.45246 1.13882i
\(352\) −0.501752 6.69542i −0.0267435 0.356867i
\(353\) −21.0285 + 19.5116i −1.11923 + 1.03850i −0.120281 + 0.992740i \(0.538380\pi\)
−0.998953 + 0.0457572i \(0.985430\pi\)
\(354\) 0.437669 + 9.28222i 0.0232618 + 0.493344i
\(355\) 7.20443 1.08589i 0.382371 0.0576332i
\(356\) −6.85791 4.67564i −0.363469 0.247809i
\(357\) −3.15258 6.18486i −0.166852 0.327337i
\(358\) 15.8113 10.7800i 0.835653 0.569738i
\(359\) −0.508508 + 0.471827i −0.0268380 + 0.0249021i −0.693478 0.720478i \(-0.743922\pi\)
0.666640 + 0.745380i \(0.267732\pi\)
\(360\) −15.6619 11.9996i −0.825455 0.632433i
\(361\) 9.48727 16.4324i 0.499330 0.864865i
\(362\) −3.33375 −0.175218
\(363\) −3.72920 + 14.4788i −0.195732 + 0.759942i
\(364\) 13.9606 + 4.68407i 0.731736 + 0.245512i
\(365\) −0.305352 0.0460244i −0.0159828 0.00240903i
\(366\) −3.38508 6.25696i −0.176941 0.327057i
\(367\) 1.00596 + 13.4235i 0.0525104 + 0.700703i 0.959887 + 0.280385i \(0.0904623\pi\)
−0.907377 + 0.420318i \(0.861919\pi\)
\(368\) −11.0827 + 7.55605i −0.577725 + 0.393886i
\(369\) 2.03912 + 2.86941i 0.106152 + 0.149375i
\(370\) −11.0069 + 13.8022i −0.572222 + 0.717544i
\(371\) −2.38044 + 9.36483i −0.123586 + 0.486198i
\(372\) 3.49821 0.973871i 0.181374 0.0504928i
\(373\) 14.8164 25.6627i 0.767163 1.32876i −0.171933 0.985109i \(-0.555001\pi\)
0.939096 0.343656i \(-0.111665\pi\)
\(374\) −2.51454 −0.130024
\(375\) −19.2948 + 5.37149i −0.996378 + 0.277383i
\(376\) 8.02365 + 35.1539i 0.413788 + 1.81292i
\(377\) −3.33872 1.60784i −0.171953 0.0828081i
\(378\) −6.86879 + 13.1434i −0.353292 + 0.676022i
\(379\) −13.8267 + 6.65859i −0.710230 + 0.342029i −0.753874 0.657018i \(-0.771817\pi\)
0.0436446 + 0.999047i \(0.486103\pi\)
\(380\) −0.178841 0.224259i −0.00917433 0.0115043i
\(381\) −1.41888 30.0921i −0.0726915 1.54167i
\(382\) 2.00799 + 8.79757i 0.102738 + 0.450123i
\(383\) 7.72424 5.26630i 0.394690 0.269095i −0.349671 0.936873i \(-0.613707\pi\)
0.744361 + 0.667777i \(0.232754\pi\)
\(384\) −0.192887 0.139482i −0.00984321 0.00711793i
\(385\) 3.39590 8.06539i 0.173071 0.411050i
\(386\) −1.94499 8.52154i −0.0989972 0.433735i
\(387\) −0.639938 32.9263i −0.0325299 1.67374i
\(388\) 2.04560 + 5.21211i 0.103850 + 0.264605i
\(389\) 4.68416 1.44487i 0.237496 0.0732579i −0.173722 0.984795i \(-0.555580\pi\)
0.411218 + 0.911537i \(0.365103\pi\)
\(390\) −1.25879 26.6968i −0.0637413 1.35185i
\(391\) −6.24143 10.8105i −0.315643 0.546709i
\(392\) −21.3093 + 2.15020i −1.07628 + 0.108601i
\(393\) −11.4132 15.1539i −0.575719 0.764414i
\(394\) −0.556245 + 0.267874i −0.0280232 + 0.0134953i
\(395\) −6.76376 6.27585i −0.340321 0.315772i
\(396\) −2.23649 3.14715i −0.112388 0.158150i
\(397\) −15.0677 + 4.64776i −0.756225 + 0.233265i −0.648811 0.760950i \(-0.724733\pi\)
−0.107414 + 0.994214i \(0.534257\pi\)
\(398\) −10.4620 3.22711i −0.524414 0.161760i
\(399\) −0.485078 + 0.547080i −0.0242843 + 0.0273883i
\(400\) 0.590386 0.182110i 0.0295193 0.00910551i
\(401\) 8.18679 5.58166i 0.408829 0.278735i −0.341393 0.939921i \(-0.610899\pi\)
0.750222 + 0.661186i \(0.229946\pi\)
\(402\) 13.0199 + 2.33270i 0.649374 + 0.116344i
\(403\) 13.7828 + 9.39696i 0.686571 + 0.468096i
\(404\) −2.96278 + 7.54904i −0.147404 + 0.375579i
\(405\) −19.2272 2.13784i −0.955408 0.106230i
\(406\) 1.58880 + 0.0389619i 0.0788509 + 0.00193365i
\(407\) −9.67974 + 6.59954i −0.479807 + 0.327127i
\(408\) −5.17717 + 6.13557i −0.256308 + 0.303756i
\(409\) −12.8718 16.1407i −0.636468 0.798105i 0.354089 0.935212i \(-0.384791\pi\)
−0.990556 + 0.137107i \(0.956220\pi\)
\(410\) 2.72077 0.134369
\(411\) −16.8414 + 2.06347i −0.830725 + 0.101784i
\(412\) 10.7706 1.62341i 0.530630 0.0799797i
\(413\) −5.10625 + 12.1275i −0.251262 + 0.596757i
\(414\) −11.1012 + 24.2463i −0.545596 + 1.19164i
\(415\) −3.39215 0.511284i −0.166514 0.0250980i
\(416\) −2.16992 28.9556i −0.106389 1.41966i
\(417\) −5.65778 1.91825i −0.277063 0.0939369i
\(418\) 0.0967578 + 0.246535i 0.00473258 + 0.0120584i
\(419\) −0.494850 0.0745866i −0.0241750 0.00364379i 0.136944 0.990579i \(-0.456272\pi\)
−0.161119 + 0.986935i \(0.551510\pi\)
\(420\) −3.74132 7.33988i −0.182558 0.358149i
\(421\) −24.5798 + 3.70480i −1.19794 + 0.180561i −0.717560 0.696497i \(-0.754741\pi\)
−0.480384 + 0.877058i \(0.659503\pi\)
\(422\) 14.2822 + 24.7375i 0.695247 + 1.20420i
\(423\) 24.5466 + 25.4449i 1.19350 + 1.23717i
\(424\) 11.0494 1.66543i 0.536607 0.0808805i
\(425\) 0.127943 + 0.560557i 0.00620617 + 0.0271910i
\(426\) −4.75983 + 4.17735i −0.230615 + 0.202393i
\(427\) −0.506312 10.0610i −0.0245022 0.486885i
\(428\) 8.10776 + 5.52778i 0.391903 + 0.267195i
\(429\) 4.42382 17.1758i 0.213584 0.829254i
\(430\) −21.0311 14.3387i −1.01421 0.691476i
\(431\) −3.29464 1.01626i −0.158697 0.0489517i 0.214389 0.976748i \(-0.431224\pi\)
−0.373086 + 0.927797i \(0.621700\pi\)
\(432\) 8.42912 + 0.701654i 0.405546 + 0.0337584i
\(433\) 3.14687 13.7873i 0.151229 0.662577i −0.841300 0.540568i \(-0.818209\pi\)
0.992529 0.122009i \(-0.0389336\pi\)
\(434\) −7.04605 1.23939i −0.338221 0.0594927i
\(435\) 0.703720 + 1.95013i 0.0337408 + 0.0935013i
\(436\) −8.70778 8.07963i −0.417027 0.386944i
\(437\) −0.819734 + 1.02791i −0.0392132 + 0.0491718i
\(438\) 0.244965 0.109722i 0.0117049 0.00524274i
\(439\) 29.5772 14.2436i 1.41164 0.679812i 0.436157 0.899871i \(-0.356339\pi\)
0.975487 + 0.220059i \(0.0706251\pi\)
\(440\) −10.1201 −0.482459
\(441\) −16.7988 + 12.6016i −0.799943 + 0.600076i
\(442\) −10.8746 −0.517252
\(443\) −16.4249 + 7.90982i −0.780371 + 0.375807i −0.781270 0.624193i \(-0.785428\pi\)
0.000899500 1.00000i \(0.499714\pi\)
\(444\) −1.12831 + 10.9711i −0.0535472 + 0.520667i
\(445\) −13.3004 + 16.6782i −0.630502 + 0.790624i
\(446\) −15.3586 14.2507i −0.727251 0.674790i
\(447\) 2.94705 3.49260i 0.139391 0.165194i
\(448\) 10.0829 + 18.4970i 0.476371 + 0.873900i
\(449\) −0.271353 + 1.18888i −0.0128060 + 0.0561066i −0.980927 0.194376i \(-0.937732\pi\)
0.968121 + 0.250482i \(0.0805891\pi\)
\(450\) 0.817801 0.916471i 0.0385515 0.0432029i
\(451\) 1.72535 + 0.532201i 0.0812438 + 0.0250604i
\(452\) 13.2323 + 9.02164i 0.622396 + 0.424342i
\(453\) −25.4001 24.9113i −1.19340 1.17043i
\(454\) −16.8535 11.4905i −0.790972 0.539276i
\(455\) 14.6862 34.8803i 0.688500 1.63521i
\(456\) 0.800769 + 0.271497i 0.0374994 + 0.0127140i
\(457\) −2.81582 12.3369i −0.131718 0.577096i −0.997108 0.0759965i \(-0.975786\pi\)
0.865390 0.501099i \(-0.167071\pi\)
\(458\) 7.55683 1.13901i 0.353107 0.0532224i
\(459\) −1.23736 + 7.77361i −0.0577550 + 0.362841i
\(460\) −7.40701 12.8293i −0.345354 0.598170i
\(461\) 31.2482 4.70991i 1.45537 0.219362i 0.626773 0.779202i \(-0.284375\pi\)
0.828601 + 0.559840i \(0.189137\pi\)
\(462\) 1.30339 + 7.49416i 0.0606391 + 0.348660i
\(463\) −2.10363 0.317071i −0.0977638 0.0147355i 0.0999782 0.994990i \(-0.468123\pi\)
−0.197742 + 0.980254i \(0.563361\pi\)
\(464\) −0.331161 0.843785i −0.0153738 0.0391717i
\(465\) −1.82407 9.15268i −0.0845892 0.424445i
\(466\) −1.03831 13.8553i −0.0480990 0.641837i
\(467\) 37.9173 + 5.71512i 1.75460 + 0.264464i 0.946065 0.323977i \(-0.105020\pi\)
0.808540 + 0.588441i \(0.200258\pi\)
\(468\) −9.67212 13.6104i −0.447094 0.629142i
\(469\) 15.2125 + 10.9274i 0.702446 + 0.504582i
\(470\) 27.0212 4.07279i 1.24639 0.187864i
\(471\) −7.28849 + 17.1584i −0.335836 + 0.790616i
\(472\) 15.2172 0.700427
\(473\) −10.5319 13.2066i −0.484258 0.607240i
\(474\) 7.89443 + 1.41440i 0.362603 + 0.0649655i
\(475\) 0.0500359 0.0341139i 0.00229581 0.00156525i
\(476\) −3.05487 + 1.37994i −0.140020 + 0.0632493i
\(477\) 8.43170 6.99637i 0.386061 0.320342i
\(478\) −5.43346 + 13.8442i −0.248521 + 0.633220i
\(479\) −29.0845 19.8295i −1.32890 0.906032i −0.329630 0.944110i \(-0.606924\pi\)
−0.999275 + 0.0380785i \(0.987876\pi\)
\(480\) −10.4763 + 12.4157i −0.478177 + 0.566697i
\(481\) −41.8619 + 28.5409i −1.90874 + 1.30136i
\(482\) 5.72406 1.76564i 0.260724 0.0804226i
\(483\) −28.9836 + 24.2050i −1.31880 + 1.10137i
\(484\) 6.89884 + 2.12801i 0.313583 + 0.0967277i
\(485\) 13.7511 4.24165i 0.624405 0.192603i
\(486\) 15.0678 7.46499i 0.683490 0.338619i
\(487\) −14.3031 13.2713i −0.648134 0.601380i 0.286032 0.958220i \(-0.407664\pi\)
−0.934166 + 0.356840i \(0.883854\pi\)
\(488\) −10.4959 + 5.05457i −0.475129 + 0.228810i
\(489\) −17.7627 + 2.17635i −0.803256 + 0.0984181i
\(490\) 0.418134 + 16.2258i 0.0188894 + 0.733007i
\(491\) 4.54655 + 7.87486i 0.205183 + 0.355388i 0.950191 0.311668i \(-0.100888\pi\)
−0.745008 + 0.667056i \(0.767554\pi\)
\(492\) 1.43039 0.918278i 0.0644869 0.0413992i
\(493\) 0.806082 0.248643i 0.0363041 0.0111983i
\(494\) 0.418448 + 1.06619i 0.0188269 + 0.0479700i
\(495\) −8.49542 + 5.12748i −0.381841 + 0.230463i
\(496\) 0.907975 + 3.97810i 0.0407693 + 0.178622i
\(497\) −8.63158 + 2.43242i −0.387179 + 0.109109i
\(498\) 2.72131 1.21891i 0.121945 0.0546205i
\(499\) −0.526451 + 0.358928i −0.0235672 + 0.0160678i −0.575046 0.818121i \(-0.695016\pi\)
0.551479 + 0.834189i \(0.314064\pi\)
\(500\) 2.15204 + 9.42870i 0.0962422 + 0.421664i
\(501\) 10.0253 6.43600i 0.447896 0.287539i
\(502\) −14.2164 17.8268i −0.634510 0.795651i
\(503\) −27.2005 + 13.0991i −1.21281 + 0.584058i −0.927300 0.374318i \(-0.877877\pi\)
−0.285508 + 0.958376i \(0.592162\pi\)
\(504\) 20.9696 + 12.2494i 0.934058 + 0.545630i
\(505\) 18.7785 + 9.04326i 0.835634 + 0.402420i
\(506\) 3.04365 + 13.3351i 0.135307 + 0.592817i
\(507\) 13.5155 52.4748i 0.600245 2.33049i
\(508\) −14.5467 −0.645407
\(509\) 10.5816 18.3279i 0.469021 0.812368i −0.530352 0.847778i \(-0.677940\pi\)
0.999373 + 0.0354093i \(0.0112735\pi\)
\(510\) 4.34361 + 4.26001i 0.192338 + 0.188637i
\(511\) 0.379975 + 0.00931806i 0.0168091 + 0.000412207i
\(512\) 10.6390 13.3408i 0.470181 0.589588i
\(513\) 0.809768 0.177808i 0.0357521 0.00785043i
\(514\) 14.8341 10.1137i 0.654303 0.446096i
\(515\) −2.09202 27.9160i −0.0921852 1.23013i
\(516\) −15.8961 0.440169i −0.699785 0.0193774i
\(517\) 17.9319 + 2.70280i 0.788644 + 0.118869i
\(518\) 11.3227 18.5460i 0.497489 0.814865i
\(519\) −25.4016 + 7.07157i −1.11501 + 0.310408i
\(520\) −43.7665 −1.91929
\(521\) −5.09692 + 8.82813i −0.223300 + 0.386767i −0.955808 0.293991i \(-0.905016\pi\)
0.732508 + 0.680759i \(0.238350\pi\)
\(522\) −1.43048 1.09598i −0.0626106 0.0479699i
\(523\) −4.38496 + 4.06864i −0.191741 + 0.177909i −0.770201 0.637801i \(-0.779844\pi\)
0.578460 + 0.815710i \(0.303654\pi\)
\(524\) −7.56882 + 5.16034i −0.330646 + 0.225430i
\(525\) 1.60433 0.671873i 0.0700185 0.0293229i
\(526\) 2.52505 + 1.72155i 0.110097 + 0.0750630i
\(527\) −3.75491 + 0.565962i −0.163566 + 0.0246537i
\(528\) 3.65087 2.34378i 0.158884 0.102000i
\(529\) −32.9151 + 30.5408i −1.43109 + 1.32786i
\(530\) −0.632840 8.44467i −0.0274888 0.366813i
\(531\) 12.7742 7.70995i 0.554351 0.334583i
\(532\) 0.252844 + 0.246412i 0.0109622 + 0.0106833i
\(533\) 7.46162 + 2.30161i 0.323199 + 0.0996936i
\(534\) 1.89696 18.4451i 0.0820894 0.798197i
\(535\) 15.7244 19.7178i 0.679827 0.852476i
\(536\) 4.81992 21.1174i 0.208189 0.912135i
\(537\) −27.3040 14.0929i −1.17825 0.608153i
\(538\) −0.904113 + 1.56597i −0.0389791 + 0.0675138i
\(539\) −2.90872 + 10.3712i −0.125287 + 0.446720i
\(540\) −1.46844 + 9.22533i −0.0631914 + 0.396995i
\(541\) 32.8372 + 22.3881i 1.41178 + 0.962537i 0.998654 + 0.0518650i \(0.0165166\pi\)
0.413129 + 0.910672i \(0.364436\pi\)
\(542\) −0.946271 + 0.291886i −0.0406458 + 0.0125376i
\(543\) 2.54708 + 4.70800i 0.109305 + 0.202039i
\(544\) 4.84539 + 4.49586i 0.207744 + 0.192759i
\(545\) −22.3799 + 20.7655i −0.958649 + 0.889496i
\(546\) 5.63675 + 32.4099i 0.241231 + 1.38702i
\(547\) −6.32360 5.86744i −0.270377 0.250874i 0.533318 0.845915i \(-0.320945\pi\)
−0.803695 + 0.595042i \(0.797136\pi\)
\(548\) 0.612266 + 8.17012i 0.0261547 + 0.349010i
\(549\) −6.24992 + 9.56098i −0.266740 + 0.408053i
\(550\) 0.0470817 0.628262i 0.00200757 0.0267892i
\(551\) −0.0553955 0.0694637i −0.00235993 0.00295925i
\(552\) 38.8047 + 20.0290i 1.65164 + 0.852489i
\(553\) 9.22386 + 6.62569i 0.392238 + 0.281753i
\(554\) −0.296439 3.95571i −0.0125945 0.168062i
\(555\) 27.9014 + 4.99893i 1.18435 + 0.212193i
\(556\) −1.05391 + 2.68532i −0.0446957 + 0.113883i
\(557\) 2.38206 4.12585i 0.100931 0.174818i −0.811137 0.584856i \(-0.801151\pi\)
0.912069 + 0.410038i \(0.134484\pi\)
\(558\) 5.63216 + 5.83827i 0.238428 + 0.247154i
\(559\) −45.5473 57.1144i −1.92644 2.41568i
\(560\) 8.43663 3.81097i 0.356513 0.161043i
\(561\) 1.92118 + 3.55109i 0.0811121 + 0.149927i
\(562\) −9.39469 23.9373i −0.396291 1.00973i
\(563\) 26.7216 + 12.8684i 1.12618 + 0.542339i 0.901796 0.432162i \(-0.142249\pi\)
0.224383 + 0.974501i \(0.427963\pi\)
\(564\) 12.8312 11.2610i 0.540291 0.474173i
\(565\) 25.6632 32.1806i 1.07966 1.35385i
\(566\) −12.5447 + 15.7306i −0.527294 + 0.661206i
\(567\) 23.8093 0.341643i 0.999897 0.0143477i
\(568\) 6.46600 + 8.10811i 0.271307 + 0.340209i
\(569\) 26.4811 1.11015 0.555073 0.831802i \(-0.312690\pi\)
0.555073 + 0.831802i \(0.312690\pi\)
\(570\) 0.250528 0.589787i 0.0104935 0.0247035i
\(571\) −6.33095 7.93876i −0.264942 0.332227i 0.631510 0.775368i \(-0.282436\pi\)
−0.896452 + 0.443141i \(0.853864\pi\)
\(572\) −8.18386 2.52439i −0.342184 0.105550i
\(573\) 10.8900 9.55731i 0.454935 0.399262i
\(574\) −3.32272 + 0.417792i −0.138688 + 0.0174383i
\(575\) 2.81788 1.35702i 0.117514 0.0565916i
\(576\) 3.10056 23.6852i 0.129190 0.986884i
\(577\) 2.76212 36.8579i 0.114988 1.53441i −0.579537 0.814946i \(-0.696766\pi\)
0.694525 0.719468i \(-0.255615\pi\)
\(578\) −11.6283 + 10.7895i −0.483672 + 0.448782i
\(579\) −10.5483 + 9.25744i −0.438372 + 0.384726i
\(580\) 0.956617 0.295077i 0.0397214 0.0122524i
\(581\) 4.22114 + 0.103514i 0.175122 + 0.00429449i
\(582\) −8.06657 + 9.55985i −0.334370 + 0.396269i
\(583\) 1.25052 5.47890i 0.0517914 0.226913i
\(584\) −0.160585 0.409165i −0.00664507 0.0169314i
\(585\) −36.7401 + 22.1748i −1.51902 + 0.916814i
\(586\) 15.9550 + 10.8779i 0.659094 + 0.449363i
\(587\) 1.28241 2.22120i 0.0529306 0.0916786i −0.838346 0.545138i \(-0.816477\pi\)
0.891277 + 0.453460i \(0.149810\pi\)
\(588\) 5.69613 + 8.38924i 0.234905 + 0.345966i
\(589\) 0.199976 + 0.346368i 0.00823985 + 0.0142718i
\(590\) 0.861809 11.5000i 0.0354801 0.473449i
\(591\) 0.803284 + 0.580879i 0.0330427 + 0.0238942i
\(592\) −12.2548 1.84711i −0.503669 0.0759159i
\(593\) 11.3621 3.50474i 0.466585 0.143923i −0.0525433 0.998619i \(-0.516733\pi\)
0.519129 + 0.854696i \(0.326257\pi\)
\(594\) 3.80629 7.73984i 0.156174 0.317569i
\(595\) 2.94993 + 8.09441i 0.120936 + 0.331839i
\(596\) −1.61758 1.50089i −0.0662586 0.0614790i
\(597\) 3.43588 + 17.2403i 0.140621 + 0.705598i
\(598\) 13.1628 + 57.6702i 0.538268 + 2.35831i
\(599\) 13.9908 6.73760i 0.571647 0.275291i −0.125648 0.992075i \(-0.540101\pi\)
0.697295 + 0.716784i \(0.254387\pi\)
\(600\) −1.43605 1.40841i −0.0586263 0.0574980i
\(601\) −2.38586 + 31.8371i −0.0973214 + 1.29866i 0.708164 + 0.706048i \(0.249524\pi\)
−0.805485 + 0.592616i \(0.798095\pi\)
\(602\) 27.8858 + 14.2816i 1.13654 + 0.582074i
\(603\) −6.65327 20.1692i −0.270942 0.821355i
\(604\) −12.5932 + 11.6848i −0.512411 + 0.475448i
\(605\) 6.77893 17.2724i 0.275603 0.702224i
\(606\) −17.9823 + 2.20326i −0.730480 + 0.0895013i
\(607\) −8.36072 + 14.4812i −0.339351 + 0.587774i −0.984311 0.176443i \(-0.943541\pi\)
0.644960 + 0.764217i \(0.276874\pi\)
\(608\) 0.254344 0.648058i 0.0103150 0.0262822i
\(609\) −1.15886 2.27351i −0.0469596 0.0921272i
\(610\) 3.22545 + 8.21832i 0.130595 + 0.332750i
\(611\) 77.5499 + 11.6888i 3.13733 + 0.472877i
\(612\) 3.72134 + 0.773614i 0.150426 + 0.0312715i
\(613\) 16.4981 11.2482i 0.666350 0.454310i −0.182315 0.983240i \(-0.558359\pi\)
0.848665 + 0.528930i \(0.177407\pi\)
\(614\) −18.2443 + 22.8776i −0.736278 + 0.923264i
\(615\) −2.07875 3.84234i −0.0838231 0.154938i
\(616\) 12.3591 1.55401i 0.497963 0.0626130i
\(617\) −0.759465 + 1.93508i −0.0305749 + 0.0779036i −0.945346 0.326069i \(-0.894276\pi\)
0.914771 + 0.403973i \(0.132371\pi\)
\(618\) 14.6391 + 19.4371i 0.588869 + 0.781874i
\(619\) −9.01715 15.6182i −0.362430 0.627747i 0.625930 0.779879i \(-0.284719\pi\)
−0.988360 + 0.152132i \(0.951386\pi\)
\(620\) −4.45614 + 0.671655i −0.178963 + 0.0269743i
\(621\) 42.7227 2.84738i 1.71440 0.114261i
\(622\) −12.8690 6.19739i −0.516001 0.248493i
\(623\) 13.6820 22.4105i 0.548157 0.897857i
\(624\) 15.7889 10.1361i 0.632061 0.405769i
\(625\) 22.7017 3.42174i 0.908070 0.136870i
\(626\) −27.3922 + 13.1914i −1.09481 + 0.527233i
\(627\) 0.274237 0.325003i 0.0109520 0.0129794i
\(628\) 8.11031 + 3.90572i 0.323637 + 0.155855i
\(629\) 2.56643 11.2443i 0.102330 0.448338i
\(630\) 10.4448 15.1535i 0.416130 0.603731i
\(631\) 5.27052 + 23.0916i 0.209816 + 0.919264i 0.964689 + 0.263393i \(0.0848415\pi\)
−0.754873 + 0.655871i \(0.772301\pi\)
\(632\) 2.92249 12.8043i 0.116250 0.509326i
\(633\) 24.0229 39.0698i 0.954823 1.55288i
\(634\) −8.16676 + 35.7809i −0.324344 + 1.42104i
\(635\) −2.79390 + 37.2821i −0.110873 + 1.47949i
\(636\) −3.18283 4.22602i −0.126207 0.167572i
\(637\) −12.5793 + 44.8523i −0.498410 + 1.77711i
\(638\) −0.924326 −0.0365944
\(639\) 9.53599 + 3.53033i 0.377238 + 0.139658i
\(640\) 0.216549 + 0.200928i 0.00855986 + 0.00794239i
\(641\) 32.7311 + 4.93341i 1.29280 + 0.194858i 0.759188 0.650872i \(-0.225596\pi\)
0.533611 + 0.845730i \(0.320835\pi\)
\(642\) −2.24268 + 21.8067i −0.0885115 + 0.860642i
\(643\) −1.10932 + 1.02930i −0.0437473 + 0.0405915i −0.701744 0.712430i \(-0.747595\pi\)
0.657996 + 0.753021i \(0.271404\pi\)
\(644\) 11.0158 + 14.5303i 0.434082 + 0.572573i
\(645\) −4.18118 + 40.6557i −0.164634 + 1.60082i
\(646\) −0.234908 0.113126i −0.00924233 0.00445087i
\(647\) 26.2582 + 8.09958i 1.03232 + 0.318427i 0.764214 0.644963i \(-0.223127\pi\)
0.268102 + 0.963390i \(0.413603\pi\)
\(648\) −11.0487 25.2230i −0.434035 0.990853i
\(649\) 2.79599 7.12407i 0.109752 0.279644i
\(650\) 0.203614 2.71704i 0.00798639 0.106571i
\(651\) 3.63308 + 10.8975i 0.142392 + 0.427107i
\(652\) 0.645759 + 8.61705i 0.0252899 + 0.337470i
\(653\) −37.1722 11.4661i −1.45466 0.448703i −0.536157 0.844118i \(-0.680125\pi\)
−0.918503 + 0.395415i \(0.870601\pi\)
\(654\) 6.61890 25.6983i 0.258819 1.00488i
\(655\) 11.7718 + 20.3894i 0.459963 + 0.796679i
\(656\) 0.955015 + 1.65414i 0.0372871 + 0.0645831i
\(657\) −0.342112 0.262114i −0.0133471 0.0102260i
\(658\) −32.3739 + 9.12312i −1.26207 + 0.355656i
\(659\) 12.7334 + 32.4442i 0.496024 + 1.26385i 0.931531 + 0.363663i \(0.118474\pi\)
−0.435507 + 0.900186i \(0.643431\pi\)
\(660\) 2.27995 + 4.21425i 0.0887471 + 0.164039i
\(661\) −3.36415 1.62009i −0.130850 0.0630142i 0.367313 0.930097i \(-0.380278\pi\)
−0.498163 + 0.867083i \(0.665992\pi\)
\(662\) 24.5620 + 11.8285i 0.954631 + 0.459726i
\(663\) 8.30849 + 15.3573i 0.322675 + 0.596430i
\(664\) −1.78394 4.54541i −0.0692303 0.176396i
\(665\) 0.680096 0.600691i 0.0263730 0.0232938i
\(666\) −22.7562 + 9.44546i −0.881783 + 0.366004i
\(667\) −2.29430 3.97385i −0.0888358 0.153868i
\(668\) −2.87630 4.98190i −0.111288 0.192756i
\(669\) −8.39076 + 32.5777i −0.324406 + 1.25953i
\(670\) −15.6861 4.83851i −0.606005 0.186928i
\(671\) 0.437835 + 5.84250i 0.0169024 + 0.225547i
\(672\) 10.8876 16.7712i 0.419998 0.646965i
\(673\) 2.23297 29.7969i 0.0860746 1.14859i −0.772195 0.635386i \(-0.780841\pi\)
0.858269 0.513200i \(-0.171540\pi\)
\(674\) −5.79561 + 14.7670i −0.223238 + 0.568802i
\(675\) −1.91908 0.454708i −0.0738655 0.0175017i
\(676\) −25.0031 7.71242i −0.961656 0.296632i
\(677\) −0.514468 0.247755i −0.0197726 0.00952199i 0.423971 0.905676i \(-0.360636\pi\)
−0.443744 + 0.896154i \(0.646350\pi\)
\(678\) −3.66017 + 35.5897i −0.140568 + 1.36682i
\(679\) −16.1420 + 7.29164i −0.619475 + 0.279827i
\(680\) 7.30334 6.77651i 0.280070 0.259867i
\(681\) −3.35063 + 32.5799i −0.128396 + 1.24846i
\(682\) 4.11443 + 0.620150i 0.157550 + 0.0237468i
\(683\) −13.3808 12.4156i −0.512002 0.475069i 0.381347 0.924432i \(-0.375460\pi\)
−0.893349 + 0.449363i \(0.851651\pi\)
\(684\) −0.0673468 0.394623i −0.00257507 0.0150888i
\(685\) 21.0569 0.804544
\(686\) −3.00222 19.7514i −0.114625 0.754111i
\(687\) −7.38215 9.80168i −0.281647 0.373958i
\(688\) 1.33536 17.8192i 0.0509102 0.679350i
\(689\) 5.40812 23.6945i 0.206033 0.902690i
\(690\) 17.3341 28.1914i 0.659898 1.07323i
\(691\) −7.59610 + 33.2807i −0.288969 + 1.26606i 0.596973 + 0.802262i \(0.296370\pi\)
−0.885942 + 0.463796i \(0.846487\pi\)
\(692\) 2.83316 + 12.4129i 0.107701 + 0.471868i
\(693\) 9.58759 7.56641i 0.364202 0.287424i
\(694\) −4.13506 + 18.1169i −0.156965 + 0.687708i
\(695\) 6.67983 + 3.21684i 0.253380 + 0.122022i
\(696\) −1.90309 + 2.25539i −0.0721365 + 0.0854903i
\(697\) −1.60149 + 0.771238i −0.0606608 + 0.0292127i
\(698\) 18.8079 2.83483i 0.711889 0.107300i
\(699\) −18.7735 + 12.0522i −0.710080 + 0.455856i
\(700\) −0.287581 0.789102i −0.0108695 0.0298253i
\(701\) 6.84144 + 3.29466i 0.258397 + 0.124438i 0.558598 0.829438i \(-0.311339\pi\)
−0.300201 + 0.953876i \(0.597054\pi\)
\(702\) 16.4610 33.4724i 0.621281 1.26333i
\(703\) −1.20119 + 0.181050i −0.0453036 + 0.00682841i
\(704\) −6.12618 10.6109i −0.230889 0.399912i
\(705\) −26.3966 35.0482i −0.994153 1.31999i
\(706\) −11.3053 + 28.8054i −0.425480 + 1.08411i
\(707\) −24.3217 8.16043i −0.914713 0.306904i
\(708\) −3.42826 6.33677i −0.128842 0.238150i
\(709\) −4.01760 + 5.03791i −0.150884 + 0.189203i −0.851529 0.524307i \(-0.824324\pi\)
0.700645 + 0.713510i \(0.252896\pi\)
\(710\) 6.49371 4.42734i 0.243705 0.166155i
\(711\) −4.03412 12.2293i −0.151291 0.458636i
\(712\) −30.0253 4.52559i −1.12525 0.169604i
\(713\) 7.54643 + 19.2280i 0.282616 + 0.720094i
\(714\) −5.95874 4.53550i −0.223000 0.169737i
\(715\) −8.04162 + 20.4897i −0.300739 + 0.766272i
\(716\) −7.41845 + 12.8491i −0.277240 + 0.480195i
\(717\) 23.7024 2.90411i 0.885184 0.108456i
\(718\) −0.273383 + 0.696569i −0.0102026 + 0.0259957i
\(719\) −21.3048 + 19.7680i −0.794535 + 0.737221i −0.968898 0.247461i \(-0.920404\pi\)
0.174363 + 0.984681i \(0.444213\pi\)
\(720\) −10.2772 2.13649i −0.383010 0.0796223i
\(721\) 6.84153 + 33.7709i 0.254792 + 1.25769i
\(722\) 1.52960 20.4110i 0.0569257 0.759620i
\(723\) −6.86681 6.73465i −0.255379 0.250464i
\(724\) 2.32876 1.12147i 0.0865476 0.0416791i
\(725\) 0.0470311 + 0.206057i 0.00174669 + 0.00765275i
\(726\) 3.15229 + 15.8173i 0.116993 + 0.587037i
\(727\) −4.46278 4.14085i −0.165515 0.153576i 0.593067 0.805153i \(-0.297917\pi\)
−0.758582 + 0.651578i \(0.774107\pi\)
\(728\) 53.4494 6.72063i 1.98097 0.249083i
\(729\) −22.0545 15.5757i −0.816832 0.576876i
\(730\) −0.318312 + 0.0981861i −0.0117812 + 0.00363403i
\(731\) 16.4437 + 2.47849i 0.608193 + 0.0916704i
\(732\) 4.46945 + 3.23200i 0.165196 + 0.119458i
\(733\) −0.952153 + 12.7056i −0.0351686 + 0.469292i 0.951620 + 0.307278i \(0.0994181\pi\)
−0.986788 + 0.162014i \(0.948201\pi\)
\(734\) 7.26044 + 12.5755i 0.267988 + 0.464169i
\(735\) 22.5950 12.9874i 0.833427 0.479049i
\(736\) 17.9775 31.1379i 0.662659 1.14776i
\(737\) −9.00073 6.13659i −0.331546 0.226044i
\(738\) 3.32481 + 1.83438i 0.122388 + 0.0675243i
\(739\) −6.22755 15.8675i −0.229084 0.583697i 0.769398 0.638769i \(-0.220556\pi\)
−0.998482 + 0.0550728i \(0.982461\pi\)
\(740\) 3.04571 13.3441i 0.111962 0.490540i
\(741\) 1.18599 1.40554i 0.0435684 0.0516337i
\(742\) 2.06958 + 10.2158i 0.0759768 + 0.375033i
\(743\) 40.4145 12.4662i 1.48266 0.457341i 0.555346 0.831619i \(-0.312586\pi\)
0.927316 + 0.374278i \(0.122110\pi\)
\(744\) 9.98436 8.76253i 0.366045 0.321250i
\(745\) −4.15735 + 3.85745i −0.152313 + 0.141326i
\(746\) 2.38879 31.8761i 0.0874597 1.16707i
\(747\) −3.80052 2.91182i −0.139054 0.106538i
\(748\) 1.75651 0.845888i 0.0642242 0.0309287i
\(749\) −16.1755 + 26.4948i −0.591040 + 0.968098i
\(750\) −16.2384 + 14.2513i −0.592944 + 0.520383i
\(751\) −24.2371 7.47615i −0.884423 0.272808i −0.180918 0.983498i \(-0.557907\pi\)
−0.703506 + 0.710690i \(0.748383\pi\)
\(752\) 11.9608 + 14.9983i 0.436165 + 0.546933i
\(753\) −14.3137 + 33.6969i −0.521621 + 1.22798i
\(754\) −3.99742 −0.145578
\(755\) 27.5285 + 34.5196i 1.00186 + 1.25630i
\(756\) 0.376702 11.4918i 0.0137005 0.417954i
\(757\) −3.36571 + 4.22047i −0.122329 + 0.153396i −0.839225 0.543785i \(-0.816991\pi\)
0.716896 + 0.697180i \(0.245562\pi\)
\(758\) −10.3216 + 12.9429i −0.374898 + 0.470108i
\(759\) 16.5067 14.4867i 0.599155 0.525833i
\(760\) −0.945423 0.455292i −0.0342941 0.0165152i
\(761\) −5.86045 14.9322i −0.212441 0.541291i 0.784440 0.620204i \(-0.212950\pi\)
−0.996882 + 0.0789131i \(0.974855\pi\)
\(762\) −15.4633 28.5823i −0.560177 1.03543i
\(763\) 24.1425 28.7962i 0.874018 1.04249i
\(764\) −4.36215 5.46997i −0.157817 0.197896i
\(765\) 2.69745 9.38891i 0.0975264 0.339457i
\(766\) 5.04232 8.73355i 0.182186 0.315556i
\(767\) 12.0918 30.8094i 0.436609 1.11246i
\(768\) −27.4031 4.90965i −0.988825 0.177162i
\(769\) 3.16456 + 42.2281i 0.114117 + 1.52278i 0.701029 + 0.713133i \(0.252724\pi\)
−0.586912 + 0.809651i \(0.699656\pi\)
\(770\) −0.474465 9.42813i −0.0170985 0.339766i
\(771\) −25.6164 13.2219i −0.922553 0.476174i
\(772\) 4.22529 + 5.29834i 0.152071 + 0.190691i