Properties

Label 930.2.o.e.161.9
Level $930$
Weight $2$
Character 930.161
Analytic conductor $7.426$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.o (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(20\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 161.9
Character \(\chi\) \(=\) 930.161
Dual form 930.2.o.e.491.19

$q$-expansion

\(f(q)\) \(=\) \(q-1.00000i q^{2} +(1.62650 - 0.595404i) q^{3} -1.00000 q^{4} +(0.866025 + 0.500000i) q^{5} +(-0.595404 - 1.62650i) q^{6} +(-0.581871 - 1.00783i) q^{7} +1.00000i q^{8} +(2.29099 - 1.93685i) q^{9} +O(q^{10})\) \(q-1.00000i q^{2} +(1.62650 - 0.595404i) q^{3} -1.00000 q^{4} +(0.866025 + 0.500000i) q^{5} +(-0.595404 - 1.62650i) q^{6} +(-0.581871 - 1.00783i) q^{7} +1.00000i q^{8} +(2.29099 - 1.93685i) q^{9} +(0.500000 - 0.866025i) q^{10} +(0.0889568 - 0.154078i) q^{11} +(-1.62650 + 0.595404i) q^{12} +(-4.88952 - 2.82297i) q^{13} +(-1.00783 + 0.581871i) q^{14} +(1.70629 + 0.297614i) q^{15} +1.00000 q^{16} +(-1.93896 - 3.35837i) q^{17} +(-1.93685 - 2.29099i) q^{18} +(-2.57689 - 4.46331i) q^{19} +(-0.866025 - 0.500000i) q^{20} +(-1.54648 - 1.29279i) q^{21} +(-0.154078 - 0.0889568i) q^{22} +5.70722 q^{23} +(0.595404 + 1.62650i) q^{24} +(0.500000 + 0.866025i) q^{25} +(-2.82297 + 4.88952i) q^{26} +(2.57308 - 4.51434i) q^{27} +(0.581871 + 1.00783i) q^{28} +5.56575 q^{29} +(0.297614 - 1.70629i) q^{30} +(5.12730 - 2.17043i) q^{31} -1.00000i q^{32} +(0.0529495 - 0.303572i) q^{33} +(-3.35837 + 1.93896i) q^{34} -1.16374i q^{35} +(-2.29099 + 1.93685i) q^{36} +(0.782503 - 0.451779i) q^{37} +(-4.46331 + 2.57689i) q^{38} +(-9.63360 - 1.68031i) q^{39} +(-0.500000 + 0.866025i) q^{40} +(2.48692 + 1.43582i) q^{41} +(-1.29279 + 1.54648i) q^{42} +(0.735867 - 0.424853i) q^{43} +(-0.0889568 + 0.154078i) q^{44} +(2.95248 - 0.531863i) q^{45} -5.70722i q^{46} -4.11079i q^{47} +(1.62650 - 0.595404i) q^{48} +(2.82285 - 4.88932i) q^{49} +(0.866025 - 0.500000i) q^{50} +(-5.15329 - 4.30792i) q^{51} +(4.88952 + 2.82297i) q^{52} +(-6.25104 + 10.8271i) q^{53} +(-4.51434 - 2.57308i) q^{54} +(0.154078 - 0.0889568i) q^{55} +(1.00783 - 0.581871i) q^{56} +(-6.84878 - 5.72526i) q^{57} -5.56575i q^{58} +(-4.27376 + 2.46746i) q^{59} +(-1.70629 - 0.297614i) q^{60} -0.00227491i q^{61} +(-2.17043 - 5.12730i) q^{62} +(-3.28507 - 1.18193i) q^{63} -1.00000 q^{64} +(-2.82297 - 4.88952i) q^{65} +(-0.303572 - 0.0529495i) q^{66} +(-3.20296 + 5.54769i) q^{67} +(1.93896 + 3.35837i) q^{68} +(9.28278 - 3.39810i) q^{69} -1.16374 q^{70} +(10.9712 + 6.33424i) q^{71} +(1.93685 + 2.29099i) q^{72} +(9.32062 + 5.38127i) q^{73} +(-0.451779 - 0.782503i) q^{74} +(1.32888 + 1.11089i) q^{75} +(2.57689 + 4.46331i) q^{76} -0.207046 q^{77} +(-1.68031 + 9.63360i) q^{78} +(-2.52627 + 1.45854i) q^{79} +(0.866025 + 0.500000i) q^{80} +(1.49726 - 8.87458i) q^{81} +(1.43582 - 2.48692i) q^{82} +(-7.95846 + 13.7845i) q^{83} +(1.54648 + 1.29279i) q^{84} -3.87791i q^{85} +(-0.424853 - 0.735867i) q^{86} +(9.05268 - 3.31387i) q^{87} +(0.154078 + 0.0889568i) q^{88} -5.20790 q^{89} +(-0.531863 - 2.95248i) q^{90} +6.57041i q^{91} -5.70722 q^{92} +(7.04726 - 6.58302i) q^{93} -4.11079 q^{94} -5.15378i q^{95} +(-0.595404 - 1.62650i) q^{96} -13.7078 q^{97} +(-4.88932 - 2.82285i) q^{98} +(-0.0946257 - 0.525286i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40q + 6q^{3} - 40q^{4} - 12q^{7} - 2q^{9} + O(q^{10}) \) \( 40q + 6q^{3} - 40q^{4} - 12q^{7} - 2q^{9} + 20q^{10} - 6q^{12} - 12q^{13} + 40q^{16} - 12q^{18} - 12q^{19} + 12q^{21} - 24q^{22} + 20q^{25} + 12q^{28} + 8q^{31} + 52q^{33} + 24q^{34} + 2q^{36} + 60q^{37} - 8q^{39} - 20q^{40} + 12q^{42} + 24q^{43} - 12q^{45} + 6q^{48} - 4q^{49} + 14q^{51} + 12q^{52} + 24q^{55} - 12q^{57} - 40q^{64} + 8q^{66} + 64q^{67} - 26q^{69} - 24q^{70} + 12q^{72} + 6q^{75} + 12q^{76} - 68q^{78} - 48q^{79} + 2q^{81} + 4q^{82} - 12q^{84} + 36q^{87} + 24q^{88} + 2q^{90} - 22q^{93} - 40q^{94} + 8q^{97} - 90q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.00000i 0.707107i
\(3\) 1.62650 0.595404i 0.939059 0.343757i
\(4\) −1.00000 −0.500000
\(5\) 0.866025 + 0.500000i 0.387298 + 0.223607i
\(6\) −0.595404 1.62650i −0.243073 0.664015i
\(7\) −0.581871 1.00783i −0.219927 0.380924i 0.734859 0.678220i \(-0.237248\pi\)
−0.954785 + 0.297296i \(0.903915\pi\)
\(8\) 1.00000i 0.353553i
\(9\) 2.29099 1.93685i 0.763663 0.645615i
\(10\) 0.500000 0.866025i 0.158114 0.273861i
\(11\) 0.0889568 0.154078i 0.0268215 0.0464562i −0.852303 0.523048i \(-0.824795\pi\)
0.879125 + 0.476592i \(0.158128\pi\)
\(12\) −1.62650 + 0.595404i −0.469529 + 0.171878i
\(13\) −4.88952 2.82297i −1.35611 0.782950i −0.367012 0.930216i \(-0.619619\pi\)
−0.989097 + 0.147266i \(0.952953\pi\)
\(14\) −1.00783 + 0.581871i −0.269354 + 0.155512i
\(15\) 1.70629 + 0.297614i 0.440562 + 0.0768436i
\(16\) 1.00000 0.250000
\(17\) −1.93896 3.35837i −0.470266 0.814524i 0.529156 0.848525i \(-0.322509\pi\)
−0.999422 + 0.0340003i \(0.989175\pi\)
\(18\) −1.93685 2.29099i −0.456519 0.539991i
\(19\) −2.57689 4.46331i −0.591179 1.02395i −0.994074 0.108706i \(-0.965329\pi\)
0.402895 0.915246i \(-0.368004\pi\)
\(20\) −0.866025 0.500000i −0.193649 0.111803i
\(21\) −1.54648 1.29279i −0.337469 0.282109i
\(22\) −0.154078 0.0889568i −0.0328495 0.0189656i
\(23\) 5.70722 1.19004 0.595019 0.803712i \(-0.297145\pi\)
0.595019 + 0.803712i \(0.297145\pi\)
\(24\) 0.595404 + 1.62650i 0.121536 + 0.332007i
\(25\) 0.500000 + 0.866025i 0.100000 + 0.173205i
\(26\) −2.82297 + 4.88952i −0.553629 + 0.958914i
\(27\) 2.57308 4.51434i 0.495190 0.868785i
\(28\) 0.581871 + 1.00783i 0.109963 + 0.190462i
\(29\) 5.56575 1.03353 0.516767 0.856126i \(-0.327135\pi\)
0.516767 + 0.856126i \(0.327135\pi\)
\(30\) 0.297614 1.70629i 0.0543366 0.311525i
\(31\) 5.12730 2.17043i 0.920891 0.389821i
\(32\) 1.00000i 0.176777i
\(33\) 0.0529495 0.303572i 0.00921733 0.0528451i
\(34\) −3.35837 + 1.93896i −0.575956 + 0.332528i
\(35\) 1.16374i 0.196708i
\(36\) −2.29099 + 1.93685i −0.381831 + 0.322808i
\(37\) 0.782503 0.451779i 0.128643 0.0742719i −0.434298 0.900769i \(-0.643003\pi\)
0.562940 + 0.826497i \(0.309670\pi\)
\(38\) −4.46331 + 2.57689i −0.724044 + 0.418027i
\(39\) −9.63360 1.68031i −1.54261 0.269065i
\(40\) −0.500000 + 0.866025i −0.0790569 + 0.136931i
\(41\) 2.48692 + 1.43582i 0.388391 + 0.224238i 0.681463 0.731853i \(-0.261344\pi\)
−0.293072 + 0.956091i \(0.594677\pi\)
\(42\) −1.29279 + 1.54648i −0.199481 + 0.238627i
\(43\) 0.735867 0.424853i 0.112219 0.0647895i −0.442840 0.896601i \(-0.646029\pi\)
0.555059 + 0.831811i \(0.312696\pi\)
\(44\) −0.0889568 + 0.154078i −0.0134107 + 0.0232281i
\(45\) 2.95248 0.531863i 0.440129 0.0792855i
\(46\) 5.70722i 0.841484i
\(47\) 4.11079i 0.599620i −0.953999 0.299810i \(-0.903077\pi\)
0.953999 0.299810i \(-0.0969233\pi\)
\(48\) 1.62650 0.595404i 0.234765 0.0859391i
\(49\) 2.82285 4.88932i 0.403265 0.698475i
\(50\) 0.866025 0.500000i 0.122474 0.0707107i
\(51\) −5.15329 4.30792i −0.721605 0.603229i
\(52\) 4.88952 + 2.82297i 0.678055 + 0.391475i
\(53\) −6.25104 + 10.8271i −0.858646 + 1.48722i 0.0145750 + 0.999894i \(0.495360\pi\)
−0.873221 + 0.487325i \(0.837973\pi\)
\(54\) −4.51434 2.57308i −0.614324 0.350152i
\(55\) 0.154078 0.0889568i 0.0207758 0.0119949i
\(56\) 1.00783 0.581871i 0.134677 0.0777558i
\(57\) −6.84878 5.72526i −0.907142 0.758330i
\(58\) 5.56575i 0.730819i
\(59\) −4.27376 + 2.46746i −0.556396 + 0.321235i −0.751698 0.659508i \(-0.770765\pi\)
0.195302 + 0.980743i \(0.437431\pi\)
\(60\) −1.70629 0.297614i −0.220281 0.0384218i
\(61\) 0.00227491i 0.000291272i −1.00000 0.000145636i \(-0.999954\pi\)
1.00000 0.000145636i \(-4.63574e-5\pi\)
\(62\) −2.17043 5.12730i −0.275645 0.651168i
\(63\) −3.28507 1.18193i −0.413880 0.148910i
\(64\) −1.00000 −0.125000
\(65\) −2.82297 4.88952i −0.350146 0.606471i
\(66\) −0.303572 0.0529495i −0.0373671 0.00651764i
\(67\) −3.20296 + 5.54769i −0.391304 + 0.677758i −0.992622 0.121252i \(-0.961309\pi\)
0.601318 + 0.799010i \(0.294642\pi\)
\(68\) 1.93896 + 3.35837i 0.235133 + 0.407262i
\(69\) 9.28278 3.39810i 1.11752 0.409083i
\(70\) −1.16374 −0.139094
\(71\) 10.9712 + 6.33424i 1.30204 + 0.751736i 0.980754 0.195245i \(-0.0625502\pi\)
0.321290 + 0.946981i \(0.395884\pi\)
\(72\) 1.93685 + 2.29099i 0.228259 + 0.269996i
\(73\) 9.32062 + 5.38127i 1.09090 + 0.629829i 0.933815 0.357756i \(-0.116458\pi\)
0.157082 + 0.987586i \(0.449791\pi\)
\(74\) −0.451779 0.782503i −0.0525182 0.0909642i
\(75\) 1.32888 + 1.11089i 0.153446 + 0.128274i
\(76\) 2.57689 + 4.46331i 0.295590 + 0.511976i
\(77\) −0.207046 −0.0235950
\(78\) −1.68031 + 9.63360i −0.190257 + 1.09079i
\(79\) −2.52627 + 1.45854i −0.284228 + 0.164099i −0.635336 0.772236i \(-0.719138\pi\)
0.351108 + 0.936335i \(0.385805\pi\)
\(80\) 0.866025 + 0.500000i 0.0968246 + 0.0559017i
\(81\) 1.49726 8.87458i 0.166362 0.986065i
\(82\) 1.43582 2.48692i 0.158560 0.274634i
\(83\) −7.95846 + 13.7845i −0.873555 + 1.51304i −0.0152607 + 0.999884i \(0.504858\pi\)
−0.858294 + 0.513158i \(0.828476\pi\)
\(84\) 1.54648 + 1.29279i 0.168735 + 0.141054i
\(85\) 3.87791i 0.420618i
\(86\) −0.424853 0.735867i −0.0458131 0.0793506i
\(87\) 9.05268 3.31387i 0.970549 0.355284i
\(88\) 0.154078 + 0.0889568i 0.0164247 + 0.00948282i
\(89\) −5.20790 −0.552036 −0.276018 0.961152i \(-0.589015\pi\)
−0.276018 + 0.961152i \(0.589015\pi\)
\(90\) −0.531863 2.95248i −0.0560633 0.311218i
\(91\) 6.57041i 0.688766i
\(92\) −5.70722 −0.595019
\(93\) 7.04726 6.58302i 0.730767 0.682627i
\(94\) −4.11079 −0.423995
\(95\) 5.15378i 0.528767i
\(96\) −0.595404 1.62650i −0.0607682 0.166004i
\(97\) −13.7078 −1.39181 −0.695907 0.718132i \(-0.744997\pi\)
−0.695907 + 0.718132i \(0.744997\pi\)
\(98\) −4.88932 2.82285i −0.493896 0.285151i
\(99\) −0.0946257 0.525286i −0.00951024 0.0527932i
\(100\) −0.500000 0.866025i −0.0500000 0.0866025i
\(101\) 2.34879i 0.233713i −0.993149 0.116856i \(-0.962718\pi\)
0.993149 0.116856i \(-0.0372817\pi\)
\(102\) −4.30792 + 5.15329i −0.426547 + 0.510252i
\(103\) −8.49332 + 14.7109i −0.836872 + 1.44950i 0.0556251 + 0.998452i \(0.482285\pi\)
−0.892497 + 0.451053i \(0.851048\pi\)
\(104\) 2.82297 4.88952i 0.276815 0.479457i
\(105\) −0.692897 1.89282i −0.0676198 0.184721i
\(106\) 10.8271 + 6.25104i 1.05162 + 0.607154i
\(107\) −4.00394 + 2.31167i −0.387075 + 0.223478i −0.680892 0.732384i \(-0.738408\pi\)
0.293817 + 0.955862i \(0.405074\pi\)
\(108\) −2.57308 + 4.51434i −0.247595 + 0.434392i
\(109\) 18.3302 1.75571 0.877856 0.478925i \(-0.158973\pi\)
0.877856 + 0.478925i \(0.158973\pi\)
\(110\) −0.0889568 0.154078i −0.00848170 0.0146907i
\(111\) 1.00375 1.20072i 0.0952716 0.113968i
\(112\) −0.581871 1.00783i −0.0549817 0.0952310i
\(113\) 0.376805 + 0.217548i 0.0354468 + 0.0204652i 0.517619 0.855611i \(-0.326819\pi\)
−0.482172 + 0.876077i \(0.660152\pi\)
\(114\) −5.72526 + 6.84878i −0.536220 + 0.641447i
\(115\) 4.94260 + 2.85361i 0.460900 + 0.266101i
\(116\) −5.56575 −0.516767
\(117\) −16.6695 + 3.00287i −1.54109 + 0.277615i
\(118\) 2.46746 + 4.27376i 0.227148 + 0.393431i
\(119\) −2.25644 + 3.90828i −0.206848 + 0.358271i
\(120\) −0.297614 + 1.70629i −0.0271683 + 0.155762i
\(121\) 5.48417 + 9.49887i 0.498561 + 0.863533i
\(122\) −0.00227491 −0.000205960
\(123\) 4.89986 + 0.854642i 0.441806 + 0.0770604i
\(124\) −5.12730 + 2.17043i −0.460445 + 0.194911i
\(125\) 1.00000i 0.0894427i
\(126\) −1.18193 + 3.28507i −0.105295 + 0.292657i
\(127\) 10.9132 6.30073i 0.968388 0.559099i 0.0696438 0.997572i \(-0.477814\pi\)
0.898745 + 0.438473i \(0.144480\pi\)
\(128\) 1.00000i 0.0883883i
\(129\) 0.943927 1.12916i 0.0831081 0.0994170i
\(130\) −4.88952 + 2.82297i −0.428839 + 0.247591i
\(131\) −18.3335 + 10.5849i −1.60181 + 0.924803i −0.610679 + 0.791878i \(0.709104\pi\)
−0.991126 + 0.132925i \(0.957563\pi\)
\(132\) −0.0529495 + 0.303572i −0.00460867 + 0.0264226i
\(133\) −2.99884 + 5.19414i −0.260032 + 0.450389i
\(134\) 5.54769 + 3.20296i 0.479247 + 0.276693i
\(135\) 4.48552 2.62299i 0.386052 0.225751i
\(136\) 3.35837 1.93896i 0.287978 0.166264i
\(137\) 6.42120 11.1218i 0.548600 0.950203i −0.449771 0.893144i \(-0.648494\pi\)
0.998371 0.0570592i \(-0.0181724\pi\)
\(138\) −3.39810 9.28278i −0.289266 0.790203i
\(139\) 0.913499i 0.0774820i 0.999249 + 0.0387410i \(0.0123347\pi\)
−0.999249 + 0.0387410i \(0.987665\pi\)
\(140\) 1.16374i 0.0983542i
\(141\) −2.44758 6.68619i −0.206123 0.563078i
\(142\) 6.33424 10.9712i 0.531557 0.920685i
\(143\) −0.869912 + 0.502244i −0.0727457 + 0.0419998i
\(144\) 2.29099 1.93685i 0.190916 0.161404i
\(145\) 4.82008 + 2.78288i 0.400286 + 0.231105i
\(146\) 5.38127 9.32062i 0.445357 0.771380i
\(147\) 1.68024 9.63321i 0.138584 0.794534i
\(148\) −0.782503 + 0.451779i −0.0643214 + 0.0371360i
\(149\) 3.97105 2.29269i 0.325321 0.187824i −0.328441 0.944525i \(-0.606523\pi\)
0.653762 + 0.756700i \(0.273190\pi\)
\(150\) 1.11089 1.32888i 0.0907035 0.108503i
\(151\) 18.0258i 1.46692i −0.679734 0.733458i \(-0.737905\pi\)
0.679734 0.733458i \(-0.262095\pi\)
\(152\) 4.46331 2.57689i 0.362022 0.209013i
\(153\) −10.9468 3.93853i −0.884994 0.318411i
\(154\) 0.207046i 0.0166842i
\(155\) 5.52559 + 0.684001i 0.443826 + 0.0549403i
\(156\) 9.63360 + 1.68031i 0.771305 + 0.134532i
\(157\) −9.03549 −0.721111 −0.360555 0.932738i \(-0.617413\pi\)
−0.360555 + 0.932738i \(0.617413\pi\)
\(158\) 1.45854 + 2.52627i 0.116036 + 0.200980i
\(159\) −3.72079 + 21.3322i −0.295078 + 1.69175i
\(160\) 0.500000 0.866025i 0.0395285 0.0684653i
\(161\) −3.32087 5.75191i −0.261721 0.453314i
\(162\) −8.87458 1.49726i −0.697253 0.117636i
\(163\) 17.0876 1.33840 0.669201 0.743082i \(-0.266637\pi\)
0.669201 + 0.743082i \(0.266637\pi\)
\(164\) −2.48692 1.43582i −0.194196 0.112119i
\(165\) 0.197642 0.236426i 0.0153864 0.0184058i
\(166\) 13.7845 + 7.95846i 1.06988 + 0.617697i
\(167\) −4.44098 7.69200i −0.343653 0.595225i 0.641455 0.767161i \(-0.278331\pi\)
−0.985108 + 0.171936i \(0.944998\pi\)
\(168\) 1.29279 1.54648i 0.0997406 0.119313i
\(169\) 9.43828 + 16.3476i 0.726022 + 1.25751i
\(170\) −3.87791 −0.297422
\(171\) −14.5484 5.23434i −1.11254 0.400280i
\(172\) −0.735867 + 0.424853i −0.0561093 + 0.0323947i
\(173\) −2.18205 1.25981i −0.165898 0.0957813i 0.414752 0.909934i \(-0.363868\pi\)
−0.580650 + 0.814153i \(0.697202\pi\)
\(174\) −3.31387 9.05268i −0.251224 0.686282i
\(175\) 0.581871 1.00783i 0.0439853 0.0761848i
\(176\) 0.0889568 0.154078i 0.00670537 0.0116140i
\(177\) −5.48213 + 6.55792i −0.412062 + 0.492924i
\(178\) 5.20790i 0.390348i
\(179\) 7.26572 + 12.5846i 0.543065 + 0.940616i 0.998726 + 0.0504628i \(0.0160696\pi\)
−0.455661 + 0.890153i \(0.650597\pi\)
\(180\) −2.95248 + 0.531863i −0.220065 + 0.0396428i
\(181\) −3.27223 1.88922i −0.243223 0.140425i 0.373434 0.927657i \(-0.378180\pi\)
−0.616657 + 0.787232i \(0.711513\pi\)
\(182\) 6.57041 0.487031
\(183\) −0.00135449 0.00370013i −0.000100127 0.000273522i
\(184\) 5.70722i 0.420742i
\(185\) 0.903557 0.0664308
\(186\) −6.58302 7.04726i −0.482690 0.516730i
\(187\) −0.689933 −0.0504529
\(188\) 4.11079i 0.299810i
\(189\) −6.04689 + 0.0335334i −0.439846 + 0.00243919i
\(190\) −5.15378 −0.373895
\(191\) 5.58732 + 3.22584i 0.404284 + 0.233414i 0.688331 0.725397i \(-0.258344\pi\)
−0.284047 + 0.958810i \(0.591677\pi\)
\(192\) −1.62650 + 0.595404i −0.117382 + 0.0429696i
\(193\) −1.05136 1.82101i −0.0756786 0.131079i 0.825703 0.564106i \(-0.190779\pi\)
−0.901381 + 0.433027i \(0.857446\pi\)
\(194\) 13.7078i 0.984161i
\(195\) −7.50279 6.27199i −0.537286 0.449147i
\(196\) −2.82285 + 4.88932i −0.201632 + 0.349237i
\(197\) 9.43359 16.3395i 0.672115 1.16414i −0.305188 0.952292i \(-0.598719\pi\)
0.977303 0.211846i \(-0.0679474\pi\)
\(198\) −0.525286 + 0.0946257i −0.0373304 + 0.00672476i
\(199\) 16.6694 + 9.62408i 1.18166 + 0.682233i 0.956398 0.292065i \(-0.0943425\pi\)
0.225263 + 0.974298i \(0.427676\pi\)
\(200\) −0.866025 + 0.500000i −0.0612372 + 0.0353553i
\(201\) −1.90649 + 10.9304i −0.134473 + 0.770967i
\(202\) −2.34879 −0.165260
\(203\) −3.23855 5.60933i −0.227302 0.393698i
\(204\) 5.15329 + 4.30792i 0.360803 + 0.301615i
\(205\) 1.43582 + 2.48692i 0.100282 + 0.173694i
\(206\) 14.7109 + 8.49332i 1.02495 + 0.591758i
\(207\) 13.0752 11.0540i 0.908788 0.768307i
\(208\) −4.88952 2.82297i −0.339027 0.195738i
\(209\) −0.916927 −0.0634252
\(210\) −1.89282 + 0.692897i −0.130617 + 0.0478144i
\(211\) 5.53532 + 9.58746i 0.381067 + 0.660028i 0.991215 0.132260i \(-0.0422233\pi\)
−0.610148 + 0.792288i \(0.708890\pi\)
\(212\) 6.25104 10.8271i 0.429323 0.743609i
\(213\) 21.6161 + 3.77031i 1.48111 + 0.258338i
\(214\) 2.31167 + 4.00394i 0.158023 + 0.273703i
\(215\) 0.849706 0.0579495
\(216\) 4.51434 + 2.57308i 0.307162 + 0.175076i
\(217\) −5.17086 3.90454i −0.351021 0.265057i
\(218\) 18.3302i 1.24148i
\(219\) 18.3640 + 3.20308i 1.24092 + 0.216444i
\(220\) −0.154078 + 0.0889568i −0.0103879 + 0.00599746i
\(221\) 21.8944i 1.47278i
\(222\) −1.20072 1.00375i −0.0805872 0.0673672i
\(223\) −3.79542 + 2.19128i −0.254160 + 0.146739i −0.621668 0.783281i \(-0.713545\pi\)
0.367508 + 0.930020i \(0.380211\pi\)
\(224\) −1.00783 + 0.581871i −0.0673385 + 0.0388779i
\(225\) 2.82285 + 1.01563i 0.188190 + 0.0677088i
\(226\) 0.217548 0.376805i 0.0144711 0.0250647i
\(227\) −14.2337 8.21783i −0.944724 0.545436i −0.0532857 0.998579i \(-0.516969\pi\)
−0.891438 + 0.453143i \(0.850303\pi\)
\(228\) 6.84878 + 5.72526i 0.453571 + 0.379165i
\(229\) 0.621599 0.358880i 0.0410764 0.0237155i −0.479321 0.877640i \(-0.659117\pi\)
0.520398 + 0.853924i \(0.325784\pi\)
\(230\) 2.85361 4.94260i 0.188162 0.325905i
\(231\) −0.336759 + 0.123276i −0.0221571 + 0.00811095i
\(232\) 5.56575i 0.365410i
\(233\) 15.7057i 1.02891i −0.857517 0.514456i \(-0.827994\pi\)
0.857517 0.514456i \(-0.172006\pi\)
\(234\) 3.00287 + 16.6695i 0.196303 + 1.08972i
\(235\) 2.05539 3.56005i 0.134079 0.232232i
\(236\) 4.27376 2.46746i 0.278198 0.160618i
\(237\) −3.24055 + 3.87647i −0.210497 + 0.251804i
\(238\) 3.90828 + 2.25644i 0.253336 + 0.146264i
\(239\) −2.90971 + 5.03976i −0.188213 + 0.325995i −0.944655 0.328067i \(-0.893603\pi\)
0.756441 + 0.654062i \(0.226936\pi\)
\(240\) 1.70629 + 0.297614i 0.110141 + 0.0192109i
\(241\) 5.77410 3.33368i 0.371942 0.214741i −0.302364 0.953192i \(-0.597776\pi\)
0.674307 + 0.738451i \(0.264443\pi\)
\(242\) 9.49887 5.48417i 0.610610 0.352536i
\(243\) −2.84868 15.3260i −0.182743 0.983161i
\(244\) 0.00227491i 0.000145636i
\(245\) 4.88932 2.82285i 0.312367 0.180345i
\(246\) 0.854642 4.89986i 0.0544900 0.312404i
\(247\) 29.0979i 1.85146i
\(248\) 2.17043 + 5.12730i 0.137823 + 0.325584i
\(249\) −4.73710 + 27.1589i −0.300201 + 1.72113i
\(250\) 1.00000 0.0632456
\(251\) 4.15063 + 7.18911i 0.261986 + 0.453773i 0.966770 0.255650i \(-0.0822893\pi\)
−0.704784 + 0.709422i \(0.748956\pi\)
\(252\) 3.28507 + 1.18193i 0.206940 + 0.0744548i
\(253\) 0.507696 0.879355i 0.0319186 0.0552846i
\(254\) −6.30073 10.9132i −0.395343 0.684754i
\(255\) −2.30892 6.30741i −0.144590 0.394985i
\(256\) 1.00000 0.0625000
\(257\) 20.8110 + 12.0152i 1.29815 + 0.749490i 0.980085 0.198577i \(-0.0636321\pi\)
0.318070 + 0.948067i \(0.396965\pi\)
\(258\) −1.12916 0.943927i −0.0702984 0.0587663i
\(259\) −0.910632 0.525754i −0.0565839 0.0326688i
\(260\) 2.82297 + 4.88952i 0.175073 + 0.303235i
\(261\) 12.7511 10.7800i 0.789272 0.667266i
\(262\) 10.5849 + 18.3335i 0.653934 + 1.13265i
\(263\) 13.3178 0.821209 0.410605 0.911813i \(-0.365318\pi\)
0.410605 + 0.911813i \(0.365318\pi\)
\(264\) 0.303572 + 0.0529495i 0.0186836 + 0.00325882i
\(265\) −10.8271 + 6.25104i −0.665104 + 0.383998i
\(266\) 5.19414 + 2.99884i 0.318473 + 0.183870i
\(267\) −8.47063 + 3.10080i −0.518394 + 0.189766i
\(268\) 3.20296 5.54769i 0.195652 0.338879i
\(269\) 0.769900 1.33351i 0.0469416 0.0813052i −0.841600 0.540101i \(-0.818386\pi\)
0.888542 + 0.458796i \(0.151719\pi\)
\(270\) −2.62299 4.48552i −0.159630 0.272980i
\(271\) 8.84626i 0.537372i −0.963228 0.268686i \(-0.913411\pi\)
0.963228 0.268686i \(-0.0865894\pi\)
\(272\) −1.93896 3.35837i −0.117566 0.203631i
\(273\) 3.91205 + 10.6868i 0.236768 + 0.646792i
\(274\) −11.1218 6.42120i −0.671895 0.387919i
\(275\) 0.177914 0.0107286
\(276\) −9.28278 + 3.39810i −0.558758 + 0.204542i
\(277\) 14.9715i 0.899552i −0.893141 0.449776i \(-0.851504\pi\)
0.893141 0.449776i \(-0.148496\pi\)
\(278\) 0.913499 0.0547880
\(279\) 7.54280 14.9032i 0.451575 0.892233i
\(280\) 1.16374 0.0695469
\(281\) 7.32299i 0.436853i 0.975853 + 0.218426i \(0.0700924\pi\)
−0.975853 + 0.218426i \(0.929908\pi\)
\(282\) −6.68619 + 2.44758i −0.398157 + 0.145751i
\(283\) −14.6211 −0.869133 −0.434567 0.900640i \(-0.643098\pi\)
−0.434567 + 0.900640i \(0.643098\pi\)
\(284\) −10.9712 6.33424i −0.651022 0.375868i
\(285\) −3.06858 8.38261i −0.181767 0.496543i
\(286\) 0.502244 + 0.869912i 0.0296983 + 0.0514390i
\(287\) 3.34186i 0.197263i
\(288\) −1.93685 2.29099i −0.114130 0.134998i
\(289\) 0.980903 1.69897i 0.0577002 0.0999397i
\(290\) 2.78288 4.82008i 0.163416 0.283045i
\(291\) −22.2957 + 8.16166i −1.30700 + 0.478445i
\(292\) −9.32062 5.38127i −0.545448 0.314915i
\(293\) 29.5457 17.0582i 1.72608 0.996551i 0.821545 0.570143i \(-0.193112\pi\)
0.904531 0.426408i \(-0.140221\pi\)
\(294\) −9.63321 1.68024i −0.561820 0.0979936i
\(295\) −4.93491 −0.287322
\(296\) 0.451779 + 0.782503i 0.0262591 + 0.0454821i
\(297\) −0.466666 0.798035i −0.0270787 0.0463067i
\(298\) −2.29269 3.97105i −0.132812 0.230037i
\(299\) −27.9056 16.1113i −1.61382 0.931740i
\(300\) −1.32888 1.11089i −0.0767231 0.0641370i
\(301\) −0.856359 0.494419i −0.0493597 0.0284979i
\(302\) −18.0258 −1.03727
\(303\) −1.39848 3.82029i −0.0803404 0.219470i
\(304\) −2.57689 4.46331i −0.147795 0.255988i
\(305\) 0.00113745 0.00197013i 6.51304e−5 0.000112809i
\(306\) −3.93853 + 10.9468i −0.225151 + 0.625785i
\(307\) 8.94582 + 15.4946i 0.510565 + 0.884324i 0.999925 + 0.0122426i \(0.00389705\pi\)
−0.489360 + 0.872082i \(0.662770\pi\)
\(308\) 0.207046 0.0117975
\(309\) −5.05546 + 28.9841i −0.287595 + 1.64885i
\(310\) 0.684001 5.52559i 0.0388486 0.313832i
\(311\) 14.8875i 0.844194i 0.906551 + 0.422097i \(0.138706\pi\)
−0.906551 + 0.422097i \(0.861294\pi\)
\(312\) 1.68031 9.63360i 0.0951287 0.545395i
\(313\) −6.65729 + 3.84359i −0.376293 + 0.217253i −0.676204 0.736714i \(-0.736376\pi\)
0.299911 + 0.953967i \(0.403043\pi\)
\(314\) 9.03549i 0.509902i
\(315\) −2.25399 2.66612i −0.126998 0.150219i
\(316\) 2.52627 1.45854i 0.142114 0.0820495i
\(317\) 4.78141 2.76055i 0.268551 0.155048i −0.359678 0.933076i \(-0.617114\pi\)
0.628229 + 0.778029i \(0.283780\pi\)
\(318\) 21.3322 + 3.72079i 1.19625 + 0.208652i
\(319\) 0.495111 0.857558i 0.0277209 0.0480140i
\(320\) −0.866025 0.500000i −0.0484123 0.0279508i
\(321\) −5.13601 + 6.14389i −0.286664 + 0.342919i
\(322\) −5.75191 + 3.32087i −0.320542 + 0.185065i
\(323\) −9.99295 + 17.3083i −0.556023 + 0.963060i
\(324\) −1.49726 + 8.87458i −0.0831809 + 0.493032i
\(325\) 5.64593i 0.313180i
\(326\) 17.0876i 0.946392i
\(327\) 29.8140 10.9139i 1.64872 0.603537i
\(328\) −1.43582 + 2.48692i −0.0792800 + 0.137317i
\(329\) −4.14298 + 2.39195i −0.228410 + 0.131872i
\(330\) −0.236426 0.197642i −0.0130148 0.0108798i
\(331\) −7.77002 4.48602i −0.427079 0.246574i 0.271022 0.962573i \(-0.412638\pi\)
−0.698101 + 0.715999i \(0.745972\pi\)
\(332\) 7.95846 13.7845i 0.436777 0.756521i
\(333\) 0.917681 2.55061i 0.0502886 0.139772i
\(334\) −7.69200 + 4.44098i −0.420888 + 0.243000i
\(335\) −5.54769 + 3.20296i −0.303102 + 0.174996i
\(336\) −1.54648 1.29279i −0.0843673 0.0705272i
\(337\) 2.44574i 0.133228i −0.997779 0.0666141i \(-0.978780\pi\)
0.997779 0.0666141i \(-0.0212196\pi\)
\(338\) 16.3476 9.43828i 0.889191 0.513375i
\(339\) 0.742401 + 0.129491i 0.0403217 + 0.00703297i
\(340\) 3.87791i 0.210309i
\(341\) 0.121693 0.983077i 0.00659005 0.0532366i
\(342\) −5.23434 + 14.5484i −0.283041 + 0.786685i
\(343\) −14.7163 −0.794608
\(344\) 0.424853 + 0.735867i 0.0229065 + 0.0396753i
\(345\) 9.73818 + 1.69855i 0.524286 + 0.0914468i
\(346\) −1.25981 + 2.18205i −0.0677276 + 0.117308i
\(347\) −8.43977 14.6181i −0.453071 0.784741i 0.545504 0.838108i \(-0.316338\pi\)
−0.998575 + 0.0533666i \(0.983005\pi\)
\(348\) −9.05268 + 3.31387i −0.485275 + 0.177642i
\(349\) 32.6846 1.74957 0.874783 0.484515i \(-0.161004\pi\)
0.874783 + 0.484515i \(0.161004\pi\)
\(350\) −1.00783 0.581871i −0.0538708 0.0311023i
\(351\) −25.3250 + 14.8092i −1.35175 + 0.790458i
\(352\) −0.154078 0.0889568i −0.00821237 0.00474141i
\(353\) 5.87229 + 10.1711i 0.312551 + 0.541353i 0.978914 0.204274i \(-0.0654833\pi\)
−0.666363 + 0.745627i \(0.732150\pi\)
\(354\) 6.55792 + 5.48213i 0.348550 + 0.291372i
\(355\) 6.33424 + 10.9712i 0.336186 + 0.582292i
\(356\) 5.20790 0.276018
\(357\) −1.34310 + 7.70030i −0.0710843 + 0.407543i
\(358\) 12.5846 7.26572i 0.665116 0.384005i
\(359\) −9.22320 5.32502i −0.486782 0.281044i 0.236457 0.971642i \(-0.424014\pi\)
−0.723238 + 0.690598i \(0.757347\pi\)
\(360\) 0.531863 + 2.95248i 0.0280317 + 0.155609i
\(361\) −3.78073 + 6.54841i −0.198986 + 0.344653i
\(362\) −1.88922 + 3.27223i −0.0992953 + 0.171984i
\(363\) 14.5757 + 12.1846i 0.765024 + 0.639525i
\(364\) 6.57041i 0.344383i
\(365\) 5.38127 + 9.32062i 0.281668 + 0.487864i
\(366\) −0.00370013 + 0.00135449i −0.000193409 + 7.08002e-5i
\(367\) 25.0136 + 14.4416i 1.30570 + 0.753847i 0.981376 0.192099i \(-0.0615294\pi\)
0.324326 + 0.945946i \(0.394863\pi\)
\(368\) 5.70722 0.297510
\(369\) 8.47847 1.52732i 0.441371 0.0795093i
\(370\) 0.903557i 0.0469737i
\(371\) 14.5492 0.755356
\(372\) −7.04726 + 6.58302i −0.365383 + 0.341314i
\(373\) −15.4070 −0.797744 −0.398872 0.917007i \(-0.630598\pi\)
−0.398872 + 0.917007i \(0.630598\pi\)
\(374\) 0.689933i 0.0356756i
\(375\) 0.595404 + 1.62650i 0.0307465 + 0.0839920i
\(376\) 4.11079 0.211998
\(377\) −27.2139 15.7119i −1.40159 0.809206i
\(378\) 0.0335334 + 6.04689i 0.00172477 + 0.311018i
\(379\) −4.66494 8.07991i −0.239622 0.415037i 0.720984 0.692952i \(-0.243690\pi\)
−0.960606 + 0.277915i \(0.910357\pi\)
\(380\) 5.15378i 0.264383i
\(381\) 13.9988 16.7459i 0.717180 0.857917i
\(382\) 3.22584 5.58732i 0.165048 0.285872i
\(383\) −11.7909 + 20.4225i −0.602488 + 1.04354i 0.389955 + 0.920834i \(0.372491\pi\)
−0.992443 + 0.122706i \(0.960843\pi\)
\(384\) 0.595404 + 1.62650i 0.0303841 + 0.0830019i
\(385\) −0.179307 0.103523i −0.00913831 0.00527601i
\(386\) −1.82101 + 1.05136i −0.0926870 + 0.0535129i
\(387\) 0.862988 2.39859i 0.0438681 0.121927i
\(388\) 13.7078 0.695907
\(389\) 17.1562 + 29.7153i 0.869852 + 1.50663i 0.862148 + 0.506657i \(0.169119\pi\)
0.00770372 + 0.999970i \(0.497548\pi\)
\(390\) −6.27199 + 7.50279i −0.317595 + 0.379918i
\(391\) −11.0660 19.1670i −0.559634 0.969315i
\(392\) 4.88932 + 2.82285i 0.246948 + 0.142576i
\(393\) −23.5171 + 28.1321i −1.18628 + 1.41908i
\(394\) −16.3395 9.43359i −0.823170 0.475257i
\(395\) −2.91709 −0.146775
\(396\) 0.0946257 + 0.525286i 0.00475512 + 0.0263966i
\(397\) −13.0551 22.6122i −0.655218 1.13487i −0.981839 0.189716i \(-0.939243\pi\)
0.326621 0.945155i \(-0.394090\pi\)
\(398\) 9.62408 16.6694i 0.482411 0.835561i
\(399\) −1.78499 + 10.2338i −0.0893613 + 0.512329i
\(400\) 0.500000 + 0.866025i 0.0250000 + 0.0433013i
\(401\) 1.81201 0.0904873 0.0452436 0.998976i \(-0.485594\pi\)
0.0452436 + 0.998976i \(0.485594\pi\)
\(402\) 10.9304 + 1.90649i 0.545156 + 0.0950871i
\(403\) −31.1971 3.86182i −1.55404 0.192371i
\(404\) 2.34879i 0.116856i
\(405\) 5.73395 6.93699i 0.284922 0.344702i
\(406\) −5.60933 + 3.23855i −0.278387 + 0.160727i
\(407\) 0.160755i 0.00796833i
\(408\) 4.30792 5.15329i 0.213274 0.255126i
\(409\) −21.5022 + 12.4143i −1.06322 + 0.613849i −0.926320 0.376737i \(-0.877046\pi\)
−0.136897 + 0.990585i \(0.543713\pi\)
\(410\) 2.48692 1.43582i 0.122820 0.0709102i
\(411\) 3.82208 21.9129i 0.188529 1.08088i
\(412\) 8.49332 14.7109i 0.418436 0.724752i
\(413\) 4.97356 + 2.87148i 0.244733 + 0.141296i
\(414\) −11.0540 13.0752i −0.543275 0.642610i
\(415\) −13.7845 + 7.95846i −0.676653 + 0.390666i
\(416\) −2.82297 + 4.88952i −0.138407 + 0.239729i
\(417\) 0.543901 + 1.48580i 0.0266349 + 0.0727601i
\(418\) 0.916927i 0.0448484i
\(419\) 16.9548i 0.828295i 0.910210 + 0.414148i \(0.135920\pi\)
−0.910210 + 0.414148i \(0.864080\pi\)
\(420\) 0.692897 + 1.89282i 0.0338099 + 0.0923604i
\(421\) 14.5265 25.1607i 0.707980 1.22626i −0.257625 0.966245i \(-0.582940\pi\)
0.965605 0.260013i \(-0.0837267\pi\)
\(422\) 9.58746 5.53532i 0.466710 0.269455i
\(423\) −7.96196 9.41777i −0.387124 0.457908i
\(424\) −10.8271 6.25104i −0.525811 0.303577i
\(425\) 1.93896 3.35837i 0.0940532 0.162905i
\(426\) 3.77031 21.6161i 0.182672 1.04730i
\(427\) −0.00229272 + 0.00132370i −0.000110953 + 6.40585e-5i
\(428\) 4.00394 2.31167i 0.193538 0.111739i
\(429\) −1.11587 + 1.33485i −0.0538748 + 0.0644471i
\(430\) 0.849706i 0.0409765i
\(431\) −18.8864 + 10.9041i −0.909726 + 0.525231i −0.880343 0.474337i \(-0.842688\pi\)
−0.0293833 + 0.999568i \(0.509354\pi\)
\(432\) 2.57308 4.51434i 0.123797 0.217196i
\(433\) 22.8178i 1.09655i −0.836297 0.548277i \(-0.815284\pi\)
0.836297 0.548277i \(-0.184716\pi\)
\(434\) −3.90454 + 5.17086i −0.187424 + 0.248209i
\(435\) 9.49679 + 1.65645i 0.455336 + 0.0794205i
\(436\) −18.3302 −0.877856
\(437\) −14.7069 25.4731i −0.703526 1.21854i
\(438\) 3.20308 18.3640i 0.153049 0.877466i
\(439\) 11.9238 20.6527i 0.569094 0.985699i −0.427562 0.903986i \(-0.640628\pi\)
0.996656 0.0817131i \(-0.0260391\pi\)
\(440\) 0.0889568 + 0.154078i 0.00424085 + 0.00734536i
\(441\) −3.00274 16.6688i −0.142988 0.793753i
\(442\) 21.8944 1.04141
\(443\) −18.1698 10.4904i −0.863275 0.498412i 0.00183237 0.999998i \(-0.499417\pi\)
−0.865108 + 0.501586i \(0.832750\pi\)
\(444\) −1.00375 + 1.20072i −0.0476358 + 0.0569838i
\(445\) −4.51017 2.60395i −0.213803 0.123439i
\(446\) 2.19128 + 3.79542i 0.103760 + 0.179718i
\(447\) 5.09383 6.09343i 0.240930 0.288209i
\(448\) 0.581871 + 1.00783i 0.0274908 + 0.0476155i
\(449\) −30.8958 −1.45806 −0.729032 0.684479i \(-0.760030\pi\)
−0.729032 + 0.684479i \(0.760030\pi\)
\(450\) 1.01563 2.82285i 0.0478773 0.133071i
\(451\) 0.442456 0.255452i 0.0208345 0.0120288i
\(452\) −0.376805 0.217548i −0.0177234 0.0102326i
\(453\) −10.7326 29.3189i −0.504262 1.37752i
\(454\) −8.21783 + 14.2337i −0.385682 + 0.668020i
\(455\) −3.28521 + 5.69014i −0.154013 + 0.266758i
\(456\) 5.72526 6.84878i 0.268110 0.320723i
\(457\) 10.1581i 0.475177i −0.971366 0.237589i \(-0.923643\pi\)
0.971366 0.237589i \(-0.0763570\pi\)
\(458\) −0.358880 0.621599i −0.0167694 0.0290454i
\(459\) −20.1499 + 0.111742i −0.940517 + 0.00521569i
\(460\) −4.94260 2.85361i −0.230450 0.133050i
\(461\) 19.8197 0.923095 0.461547 0.887116i \(-0.347294\pi\)
0.461547 + 0.887116i \(0.347294\pi\)
\(462\) 0.123276 + 0.336759i 0.00573530 + 0.0156674i
\(463\) 10.9325i 0.508074i −0.967194 0.254037i \(-0.918241\pi\)
0.967194 0.254037i \(-0.0817586\pi\)
\(464\) 5.56575 0.258384
\(465\) 9.39461 2.17743i 0.435665 0.100976i
\(466\) −15.7057 −0.727551
\(467\) 11.3377i 0.524644i 0.964980 + 0.262322i \(0.0844883\pi\)
−0.964980 + 0.262322i \(0.915512\pi\)
\(468\) 16.6695 3.00287i 0.770547 0.138808i
\(469\) 7.45483 0.344232
\(470\) −3.56005 2.05539i −0.164213 0.0948083i
\(471\) −14.6962 + 5.37977i −0.677166 + 0.247887i
\(472\) −2.46746 4.27376i −0.113574 0.196716i
\(473\) 0.151174i 0.00695100i
\(474\) 3.87647 + 3.24055i 0.178052 + 0.148844i
\(475\) 2.57689 4.46331i 0.118236 0.204790i
\(476\) 2.25644 3.90828i 0.103424 0.179136i
\(477\) 6.64940 + 36.9121i 0.304455 + 1.69009i
\(478\) 5.03976 + 2.90971i 0.230513 + 0.133087i
\(479\) −35.3823 + 20.4280i −1.61666 + 0.933377i −0.628880 + 0.777502i \(0.716486\pi\)
−0.987777 + 0.155875i \(0.950180\pi\)
\(480\) 0.297614 1.70629i 0.0135842 0.0778811i
\(481\) −5.10142 −0.232605
\(482\) −3.33368 5.77410i −0.151845 0.263003i
\(483\) −8.82609 7.37821i −0.401601 0.335720i
\(484\) −5.48417 9.49887i −0.249281 0.431767i
\(485\) −11.8713 6.85389i −0.539047 0.311219i
\(486\) −15.3260 + 2.84868i −0.695200 + 0.129219i
\(487\) −31.5249 18.2009i −1.42853 0.824761i −0.431524 0.902102i \(-0.642024\pi\)
−0.997005 + 0.0773402i \(0.975357\pi\)
\(488\) 0.00227491 0.000102980
\(489\) 27.7929 10.1740i 1.25684 0.460084i
\(490\) −2.82285 4.88932i −0.127523 0.220877i
\(491\) −16.2180 + 28.0904i −0.731908 + 1.26770i 0.224159 + 0.974553i \(0.428037\pi\)
−0.956067 + 0.293149i \(0.905297\pi\)
\(492\) −4.89986 0.854642i −0.220903 0.0385302i
\(493\) −10.7917 18.6919i −0.486036 0.841839i
\(494\) 29.0979 1.30918
\(495\) 0.180695 0.502224i 0.00812162 0.0225733i
\(496\) 5.12730 2.17043i 0.230223 0.0974553i
\(497\) 14.7428i 0.661307i
\(498\) 27.1589 + 4.73710i 1.21702 + 0.212274i
\(499\) 36.8738 21.2891i 1.65070 0.953030i 0.673911 0.738812i \(-0.264613\pi\)
0.976786 0.214218i \(-0.0687203\pi\)
\(500\) 1.00000i 0.0447214i
\(501\) −11.8031 9.86685i −0.527323 0.440818i
\(502\) 7.18911 4.15063i 0.320866 0.185252i
\(503\) −32.1602 + 18.5677i −1.43395 + 0.827893i −0.997419 0.0717951i \(-0.977127\pi\)
−0.436533 + 0.899688i \(0.643794\pi\)
\(504\) 1.18193 3.28507i 0.0526475 0.146329i
\(505\) 1.17439 2.03411i 0.0522598 0.0905166i
\(506\) −0.879355 0.507696i −0.0390921 0.0225698i
\(507\) 25.0848 + 20.9697i 1.11405 + 0.931298i
\(508\) −10.9132 + 6.30073i −0.484194 + 0.279550i
\(509\) 7.91070 13.7017i 0.350636 0.607319i −0.635725 0.771915i \(-0.719299\pi\)
0.986361 + 0.164597i \(0.0526322\pi\)
\(510\) −6.30741 + 2.30892i −0.279297 + 0.102241i
\(511\) 12.5248i 0.554065i
\(512\) 1.00000i 0.0441942i
\(513\) −26.7794 + 0.148507i −1.18234 + 0.00655673i
\(514\) 12.0152 20.8110i 0.529970 0.917934i
\(515\) −14.7109 + 8.49332i −0.648238 + 0.374261i
\(516\) −0.943927 + 1.12916i −0.0415540 + 0.0497085i
\(517\) −0.633381 0.365682i −0.0278560 0.0160827i
\(518\) −0.525754 + 0.910632i −0.0231003 + 0.0400109i
\(519\) −4.29919 0.749872i −0.188713 0.0329157i
\(520\) 4.88952 2.82297i 0.214420 0.123795i
\(521\) 23.6227 13.6385i 1.03493 0.597515i 0.116535 0.993187i \(-0.462821\pi\)
0.918392 + 0.395671i \(0.129488\pi\)
\(522\) −10.7800 12.7511i −0.471828 0.558099i
\(523\) 18.7630i 0.820447i 0.911985 + 0.410224i \(0.134549\pi\)
−0.911985 + 0.410224i \(0.865451\pi\)
\(524\) 18.3335 10.5849i 0.800903 0.462401i
\(525\) 0.346346 1.98568i 0.0151158 0.0866623i
\(526\) 13.3178i 0.580683i
\(527\) −17.2307 13.0110i −0.750582 0.566768i
\(528\) 0.0529495 0.303572i 0.00230433 0.0132113i
\(529\) 9.57238 0.416191
\(530\) 6.25104 + 10.8271i 0.271528 + 0.470300i
\(531\) −5.01205 + 13.9305i −0.217505 + 0.604533i
\(532\) 2.99884 5.19414i 0.130016 0.225194i
\(533\) −8.10656 14.0410i −0.351134 0.608182i
\(534\) 3.10080 + 8.47063i 0.134185 + 0.366560i
\(535\) −4.62335 −0.199885
\(536\) −5.54769 3.20296i −0.239624 0.138347i
\(537\) 19.3106 + 16.1428i 0.833313 + 0.696612i
\(538\) −1.33351 0.769900i −0.0574915 0.0331927i
\(539\) −0.502224 0.869877i −0.0216323 0.0374682i
\(540\) −4.48552 + 2.62299i −0.193026 + 0.112876i
\(541\) 9.14009 + 15.8311i 0.392963 + 0.680632i 0.992839 0.119461i \(-0.0381167\pi\)
−0.599876 + 0.800093i \(0.704783\pi\)
\(542\) −8.84626 −0.379979
\(543\) −6.44712 1.12452i −0.276672 0.0482576i
\(544\) −3.35837 + 1.93896i −0.143989 + 0.0831320i
\(545\) 15.8744 + 9.16508i 0.679984 + 0.392589i
\(546\) 10.6868 3.91205i 0.457351 0.167420i
\(547\) 4.88556 8.46204i 0.208891 0.361811i −0.742474 0.669875i \(-0.766348\pi\)
0.951366 + 0.308064i \(0.0996811\pi\)
\(548\) −6.42120 + 11.1218i −0.274300 + 0.475102i
\(549\) −0.00440614 0.00521179i −0.000188050 0.000222434i
\(550\) 0.177914i 0.00758626i
\(551\) −14.3423 24.8417i −0.611004 1.05829i
\(552\) 3.39810 + 9.28278i 0.144633 + 0.395101i
\(553\) 2.93993 + 1.69737i 0.125019 + 0.0721795i
\(554\) −14.9715 −0.636080
\(555\) 1.46963 0.537981i 0.0623825 0.0228360i
\(556\) 0.913499i 0.0387410i
\(557\) 23.4375 0.993081 0.496540 0.868014i \(-0.334603\pi\)
0.496540 + 0.868014i \(0.334603\pi\)
\(558\) −14.9032 7.54280i −0.630904 0.319312i
\(559\) −4.79738 −0.202908
\(560\) 1.16374i 0.0491771i
\(561\) −1.12217 + 0.410789i −0.0473782 + 0.0173435i
\(562\) 7.32299 0.308902
\(563\) −3.55872 2.05463i −0.149982 0.0865923i 0.423131 0.906069i \(-0.360931\pi\)
−0.573113 + 0.819476i \(0.694264\pi\)
\(564\) 2.44758 + 6.68619i 0.103062 + 0.281539i
\(565\) 0.217548 + 0.376805i 0.00915232 + 0.0158523i
\(566\) 14.6211i 0.614570i
\(567\) −9.81528 + 3.65488i −0.412203 + 0.153491i
\(568\) −6.33424 + 10.9712i −0.265779 + 0.460342i
\(569\) 20.3967 35.3280i 0.855072 1.48103i −0.0215060 0.999769i \(-0.506846\pi\)
0.876578 0.481260i \(-0.159821\pi\)
\(570\) −8.38261 + 3.06858i −0.351109 + 0.128529i
\(571\) −22.6637 13.0849i −0.948445 0.547585i −0.0558476 0.998439i \(-0.517786\pi\)
−0.892598 + 0.450854i \(0.851119\pi\)
\(572\) 0.869912 0.502244i 0.0363729 0.0209999i
\(573\) 11.0084 + 1.92011i 0.459884 + 0.0802137i
\(574\) −3.34186 −0.139486
\(575\) 2.85361 + 4.94260i 0.119004 + 0.206121i
\(576\) −2.29099 + 1.93685i −0.0954579 + 0.0807019i
\(577\) −10.2691 17.7866i −0.427509 0.740467i 0.569142 0.822239i \(-0.307275\pi\)
−0.996651 + 0.0817721i \(0.973942\pi\)
\(578\) −1.69897 0.980903i −0.0706680 0.0408002i
\(579\) −2.79427 2.33589i −0.116126 0.0970761i
\(580\) −4.82008 2.78288i −0.200143 0.115553i
\(581\) 18.5232 0.768472
\(582\) 8.16166 + 22.2957i 0.338312 + 0.924185i
\(583\) 1.11214 + 1.92629i 0.0460603 + 0.0797788i
\(584\) −5.38127 + 9.32062i −0.222678 + 0.385690i
\(585\) −15.9376 5.73419i −0.658940 0.237079i
\(586\) −17.0582 29.5457i −0.704668 1.22052i
\(587\) −37.7684 −1.55887 −0.779433 0.626485i \(-0.784493\pi\)
−0.779433 + 0.626485i \(0.784493\pi\)
\(588\) −1.68024 + 9.63321i −0.0692919 + 0.397267i
\(589\) −22.8998 17.2917i −0.943570 0.712494i
\(590\) 4.93491i 0.203167i
\(591\) 5.61513 32.1929i 0.230976 1.32424i
\(592\) 0.782503 0.451779i 0.0321607 0.0185680i
\(593\) 37.0997i 1.52350i −0.647870 0.761751i \(-0.724340\pi\)
0.647870 0.761751i \(-0.275660\pi\)
\(594\) −0.798035 + 0.466666i −0.0327438 + 0.0191475i
\(595\) −3.90828 + 2.25644i −0.160224 + 0.0925052i
\(596\) −3.97105 + 2.29269i −0.162661 + 0.0939121i
\(597\) 32.8429 + 5.72852i 1.34417 + 0.234453i
\(598\) −16.1113 + 27.9056i −0.658840 + 1.14114i
\(599\) 17.6250 + 10.1758i 0.720139 + 0.415773i 0.814804 0.579737i \(-0.196845\pi\)
−0.0946646 + 0.995509i \(0.530178\pi\)
\(600\) −1.11089 + 1.32888i −0.0453517 + 0.0542514i
\(601\) −35.9489 + 20.7551i −1.46639 + 0.846619i −0.999293 0.0375894i \(-0.988032\pi\)
−0.467093 + 0.884208i \(0.654699\pi\)
\(602\) −0.494419 + 0.856359i −0.0201510 + 0.0349026i
\(603\) 3.40707 + 18.9133i 0.138747 + 0.770210i
\(604\) 18.0258i 0.733458i
\(605\) 10.9683i 0.445927i
\(606\) −3.82029 + 1.39848i −0.155189 + 0.0568092i
\(607\) −9.76384 + 16.9115i −0.396302 + 0.686415i −0.993266 0.115852i \(-0.963040\pi\)
0.596964 + 0.802268i \(0.296373\pi\)
\(608\) −4.46331 + 2.57689i −0.181011 + 0.104507i
\(609\) −8.60731 7.19532i −0.348786 0.291569i
\(610\) −0.00197013 0.00113745i −7.97681e−5 4.60541e-5i
\(611\) −11.6046 + 20.0998i −0.469473 + 0.813150i
\(612\) 10.9468 + 3.93853i 0.442497 + 0.159206i
\(613\) −3.94704 + 2.27883i −0.159420 + 0.0920409i −0.577587 0.816329i \(-0.696006\pi\)
0.418168 + 0.908370i \(0.362672\pi\)
\(614\) 15.4946 8.94582i 0.625312 0.361024i
\(615\) 3.81608 + 3.19007i 0.153879 + 0.128636i
\(616\) 0.207046i 0.00834210i
\(617\) −17.5553 + 10.1355i −0.706749 + 0.408042i −0.809856 0.586628i \(-0.800455\pi\)
0.103107 + 0.994670i \(0.467122\pi\)
\(618\) 28.9841 + 5.05546i 1.16591 + 0.203361i
\(619\) 13.7227i 0.551561i 0.961221 + 0.275781i \(0.0889363\pi\)
−0.961221 + 0.275781i \(0.911064\pi\)
\(620\) −5.52559 0.684001i −0.221913 0.0274701i
\(621\) 14.6851 25.7643i 0.589295 1.03389i
\(622\) 14.8875 0.596935
\(623\) 3.03032 + 5.24868i 0.121407 + 0.210284i
\(624\) −9.63360 1.68031i −0.385653 0.0672662i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) 3.84359 + 6.65729i 0.153621 + 0.266079i
\(627\) −1.49138 + 0.545942i −0.0595600 + 0.0218028i
\(628\) 9.03549 0.360555
\(629\) −3.03448 1.75196i −0.120993 0.0698551i
\(630\) −2.66612 + 2.25399i −0.106221 + 0.0898011i
\(631\) 9.02379 + 5.20989i 0.359231 + 0.207402i 0.668743 0.743493i \(-0.266832\pi\)
−0.309512 + 0.950895i \(0.600166\pi\)
\(632\) −1.45854 2.52627i −0.0580178 0.100490i
\(633\) 14.7116 + 12.2982i 0.584734 + 0.488811i
\(634\) −2.76055 4.78141i −0.109635 0.189894i
\(635\) 12.6015 0.500074
\(636\) 3.72079 21.3322i 0.147539 0.845875i
\(637\) −27.6048 + 15.9376i −1.09374 + 0.631472i
\(638\) −0.857558 0.495111i −0.0339510 0.0196016i
\(639\) 37.4034 6.73790i 1.47966 0.266547i
\(640\) −0.500000 + 0.866025i −0.0197642 + 0.0342327i
\(641\) −10.4121 + 18.0343i −0.411254 + 0.712313i −0.995027 0.0996039i \(-0.968242\pi\)
0.583773 + 0.811917i \(0.301576\pi\)
\(642\) 6.14389 + 5.13601i 0.242480 + 0.202702i
\(643\) 45.6261i 1.79932i −0.436595 0.899658i \(-0.643816\pi\)
0.436595 0.899658i \(-0.356184\pi\)
\(644\) 3.32087 + 5.75191i 0.130861 + 0.226657i
\(645\) 1.38204 0.505918i 0.0544179 0.0199205i
\(646\) 17.3083 + 9.99295i 0.680986 + 0.393167i
\(647\) 29.3824 1.15514 0.577570 0.816341i \(-0.304001\pi\)
0.577570 + 0.816341i \(0.304001\pi\)
\(648\) 8.87458 + 1.49726i 0.348627 + 0.0588178i
\(649\) 0.877988i 0.0344640i
\(650\) −5.64593 −0.221452
\(651\) −10.7352 3.27197i −0.420744 0.128239i
\(652\) −17.0876 −0.669201
\(653\) 36.5284i 1.42947i 0.699397 + 0.714734i \(0.253452\pi\)
−0.699397 + 0.714734i \(0.746548\pi\)
\(654\) −10.9139 29.8140i −0.426765 1.16582i
\(655\) −21.1697 −0.827169
\(656\) 2.48692 + 1.43582i 0.0970978 + 0.0560595i
\(657\) 31.7761 5.72420i 1.23970 0.223322i
\(658\) 2.39195 + 4.14298i 0.0932479 + 0.161510i
\(659\) 18.6641i 0.727050i −0.931584 0.363525i \(-0.881573\pi\)
0.931584 0.363525i \(-0.118427\pi\)
\(660\) −0.197642 + 0.236426i −0.00769319 + 0.00920289i
\(661\) −16.6494 + 28.8377i −0.647588 + 1.12166i 0.336109 + 0.941823i \(0.390889\pi\)
−0.983697 + 0.179833i \(0.942444\pi\)
\(662\) −4.48602 + 7.77002i −0.174354 + 0.301990i
\(663\) 13.0360 + 35.6112i 0.506277 + 1.38303i
\(664\) −13.7845 7.95846i −0.534941 0.308848i
\(665\) −5.19414 + 2.99884i −0.201420 + 0.116290i
\(666\) −2.55061 0.917681i −0.0988340 0.0355594i
\(667\) 31.7650 1.22995
\(668\) 4.44098 + 7.69200i 0.171827 + 0.297613i
\(669\) −4.86854 + 5.82392i −0.188228 + 0.225166i
\(670\) 3.20296 + 5.54769i 0.123741 + 0.214326i
\(671\) −0.000350512 0 0.000202368i −1.35314e−5 0 7.81234e-6i
\(672\) −1.29279 + 1.54648i −0.0498703 + 0.0596567i
\(673\) 28.5063 + 16.4581i 1.09884 + 0.634414i 0.935915 0.352225i \(-0.114575\pi\)
0.162922 + 0.986639i \(0.447908\pi\)
\(674\) −2.44574 −0.0942066
\(675\) 5.19607 0.0288151i 0.199997 0.00110909i
\(676\) −9.43828 16.3476i −0.363011 0.628753i
\(677\) −3.71782 + 6.43945i −0.142887 + 0.247488i −0.928583 0.371125i \(-0.878972\pi\)
0.785695 + 0.618614i \(0.212305\pi\)
\(678\) 0.129491 0.742401i 0.00497306 0.0285117i
\(679\) 7.97616 + 13.8151i 0.306097 + 0.530175i
\(680\) 3.87791 0.148711
\(681\) −28.0440 4.89148i −1.07465 0.187442i
\(682\) −0.983077 0.121693i −0.0376440 0.00465987i
\(683\) 27.8306i 1.06491i 0.846459 + 0.532453i \(0.178730\pi\)
−0.846459 + 0.532453i \(0.821270\pi\)
\(684\) 14.5484 + 5.23434i 0.556270 + 0.200140i
\(685\) 11.1218 6.42120i 0.424944 0.245341i
\(686\) 14.7163i 0.561872i
\(687\) 0.797350 0.953820i 0.0304208 0.0363905i
\(688\) 0.735867 0.424853i 0.0280547 0.0161974i
\(689\) 61.1292 35.2929i 2.32884 1.34455i
\(690\) 1.69855 9.73818i 0.0646626 0.370726i
\(691\) −17.9160 + 31.0315i −0.681558 + 1.18049i 0.292947 + 0.956129i \(0.405364\pi\)
−0.974505 + 0.224365i \(0.927969\pi\)
\(692\) 2.18205 + 1.25981i 0.0829490 + 0.0478906i
\(693\) −0.474339 + 0.401015i −0.0180186 + 0.0152333i
\(694\) −14.6181 + 8.43977i −0.554896 + 0.320369i
\(695\) −0.456749 + 0.791113i −0.0173255 + 0.0300086i
\(696\) 3.31387 + 9.05268i 0.125612 + 0.343141i
\(697\) 11.1360i 0.421806i
\(698\) 32.6846i 1.23713i
\(699\) −9.35121 25.5452i −0.353695 0.966209i
\(700\) −0.581871 + 1.00783i −0.0219927 + 0.0380924i
\(701\) −6.49145 + 3.74784i −0.245179 + 0.141554i −0.617555 0.786528i \(-0.711877\pi\)
0.372376 + 0.928082i \(0.378543\pi\)
\(702\) 14.8092 + 25.3250i 0.558938 + 0.955829i
\(703\) −4.03285 2.32837i −0.152102 0.0878160i
\(704\) −0.0889568 + 0.154078i −0.00335268 + 0.00580702i
\(705\) 1.22343 7.01420i 0.0460769 0.264170i
\(706\) 10.1711 5.87229i 0.382795 0.221007i
\(707\) −2.36718 + 1.36669i −0.0890269 + 0.0513997i
\(708\) 5.48213 6.55792i 0.206031 0.246462i
\(709\) 1.59160i 0.0597738i −0.999553 0.0298869i \(-0.990485\pi\)
0.999553 0.0298869i \(-0.00951471\pi\)
\(710\) 10.9712 6.33424i 0.411743 0.237720i
\(711\) −2.96269 + 8.23451i −0.111109 + 0.308818i
\(712\) 5.20790i 0.195174i
\(713\) 29.2626 12.3871i 1.09589 0.463902i
\(714\) 7.70030 + 1.34310i 0.288176 + 0.0502642i
\(715\) −1.00449 −0.0375657
\(716\) −7.26572 12.5846i −0.271533 0.470308i
\(717\) −1.73194 + 9.92961i −0.0646804 + 0.370828i
\(718\) −5.32502 + 9.22320i −0.198728 + 0.344207i
\(719\) −1.12193 1.94324i −0.0418410 0.0724707i 0.844347 0.535797i \(-0.179989\pi\)
−0.886188 + 0.463327i \(0.846656\pi\)
\(720\) 2.95248 0.531863i 0.110032 0.0198214i
\(721\) 19.7681 0.736202
\(722\) 6.54841 + 3.78073i 0.243707 + 0.140704i
\(723\) 7.40667 8.86013i 0.275457 0.329512i
\(724\) 3.27223 + 1.88922i 0.121611 + 0.0702124i
\(725\) 2.78288 + 4.82008i 0.103353 + 0.179013i
\(726\) 12.1846 14.5757i 0.452212 0.540953i
\(727\) 16.3097 + 28.2493i 0.604894 + 1.04771i 0.992068 + 0.125701i \(0.0401180\pi\)
−0.387174 + 0.922007i \(0.626549\pi\)
\(728\) −6.57041 −0.243516
\(729\) −13.7585 23.2315i −0.509574 0.860427i
\(730\) 9.32062 5.38127i 0.344972 0.199170i
\(731\) −2.85363 1.64754i −0.105545 0.0609365i
\(732\) 0.00135449 + 0.00370013i 5.00633e−5 + 0.000136761i
\(733\) −4.82676 + 8.36019i −0.178280 + 0.308791i −0.941292 0.337594i \(-0.890387\pi\)
0.763011 + 0.646385i \(0.223720\pi\)
\(734\) 14.4416 25.0136i 0.533050 0.923270i
\(735\) 6.27173 7.50248i 0.231336 0.276733i
\(736\) 5.70722i 0.210371i
\(737\) 0.569850 + 0.987008i 0.0209907 + 0.0363569i
\(738\) −1.52732 8.47847i −0.0562215 0.312097i
\(739\) 20.5340 + 11.8553i 0.755355 + 0.436105i 0.827626 0.561281i \(-0.189691\pi\)
−0.0722704 + 0.997385i \(0.523024\pi\)
\(740\) −0.903557 −0.0332154
\(741\) 17.3250 + 47.3277i 0.636450 + 1.73863i
\(742\) 14.5492i 0.534118i
\(743\) 33.9392 1.24511 0.622555 0.782576i \(-0.286095\pi\)
0.622555 + 0.782576i \(0.286095\pi\)
\(744\) 6.58302 + 7.04726i 0.241345 + 0.258365i
\(745\) 4.58537 0.167995
\(746\) 15.4070i 0.564090i
\(747\) 8.46563 + 46.9944i 0.309741 + 1.71943i
\(748\) 0.689933 0.0252264
\(749\) 4.65955 + 2.69019i 0.170256 + 0.0982975i
\(750\) 1.62650 0.595404i 0.0593913 0.0217411i
\(751\) −3.61672 6.26434i −0.131976 0.228589i 0.792462 0.609921i \(-0.208799\pi\)
−0.924438 + 0.381332i \(0.875466\pi\)
\(752\) 4.11079i 0.149905i
\(753\) 11.0314 + 9.22176i 0.402007 + 0.336060i
\(754\) −15.7119 + 27.2139i −0.572195 + 0.991071i
\(755\) 9.01289 15.6108i 0.328013 0.568134i
\(756\) 6.04689 0.0335334i 0.219923 0.00121960i
\(757\) −0.672009 0.387984i −0.0244246 0.0141015i 0.487738 0.872990i \(-0.337822\pi\)
−0.512163 + 0.858889i \(0.671155\pi\)
\(758\) −8.07991 + 4.66494i −0.293475 + 0.169438i
\(759\) 0.302195 1.73255i 0.0109690 0.0628877i
\(760\) 5.15378 0.186947
\(761\) 3.20580 + 5.55261i 0.116210 + 0.201282i 0.918263 0.395971i \(-0.129592\pi\)
−0.802053 + 0.597253i \(0.796259\pi\)
\(762\) −16.7459 13.9988i −0.606639 0.507122i
\(763\) −10.6658 18.4737i −0.386128 0.668793i
\(764\) −5.58732 3.22584i −0.202142 0.116707i
\(765\) −7.51092 8.88425i −0.271558 0.321211i
\(766\) 20.4225 + 11.7909i 0.737895 + 0.426024i
\(767\) 27.8622 1.00605
\(768\) 1.62650 0.595404i 0.0586912 0.0214848i
\(769\) 9.17949 + 15.8993i 0.331021 + 0.573345i 0.982712 0.185139i \(-0.0592736\pi\)
−0.651691 + 0.758484i \(0.725940\pi\)
\(770\) −0.103523 + 0.179307i −0.00373070 + 0.00646176i
\(771\) 41.0030 + 7.15180i 1.47669 + 0.257566i
\(772\) 1.05136 + 1.82101i 0.0378393 + 0.0655396i
\(773\) −11.5363 −0.414930 −0.207465 0.978242i \(-0.566521\pi\)
−0.207465 + 0.978242i \(0.566521\pi\)
\(774\) −2.39859 0.862988i −0.0862157 0.0310195i
\(775\) 4.44330 + 3.35516i 0.159608 + 0.120521i