Properties

Label 930.2.o.e.161.18
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 161.18
Character \(\chi\) \(=\) 930.161
Dual form 930.2.o.e.491.8

$q$-expansion

\(f(q)\) \(=\) \(q+1.00000i q^{2} +(1.32888 - 1.11089i) q^{3} -1.00000 q^{4} +(-0.866025 - 0.500000i) q^{5} +(1.11089 + 1.32888i) q^{6} +(-0.581871 - 1.00783i) q^{7} -1.00000i q^{8} +(0.531863 - 2.95248i) q^{9} +O(q^{10})\) \(q+1.00000i q^{2} +(1.32888 - 1.11089i) q^{3} -1.00000 q^{4} +(-0.866025 - 0.500000i) q^{5} +(1.11089 + 1.32888i) q^{6} +(-0.581871 - 1.00783i) q^{7} -1.00000i q^{8} +(0.531863 - 2.95248i) q^{9} +(0.500000 - 0.866025i) q^{10} +(-0.0889568 + 0.154078i) q^{11} +(-1.32888 + 1.11089i) 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} +(2.95248 + 0.531863i) q^{18} +(-2.57689 - 4.46331i) q^{19} +(0.866025 + 0.500000i) q^{20} +(-1.89282 - 0.692897i) q^{21} +(-0.154078 - 0.0889568i) q^{22} -5.70722 q^{23} +(-1.11089 - 1.32888i) 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} +(-0.531863 + 2.95248i) 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} +(0.692897 - 1.89282i) q^{42} +(0.735867 - 0.424853i) q^{43} +(0.0889568 - 0.154078i) q^{44} +(-1.93685 + 2.29099i) q^{45} -5.70722i q^{46} +4.11079i q^{47} +(1.32888 - 1.11089i) q^{48} +(2.82285 - 4.88932i) q^{49} +(-0.866025 + 0.500000i) q^{50} +(6.30741 + 2.30892i) 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} +(-8.38261 - 3.06858i) 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} +(-7.58423 + 6.34007i) q^{69} -1.16374 q^{70} +(-10.9712 - 6.33424i) q^{71} +(-2.95248 - 0.531863i) q^{72} +(9.32062 + 5.38127i) q^{73} +(0.451779 + 0.782503i) q^{74} +(1.62650 + 0.595404i) 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} +(-8.43424 - 3.14063i) q^{81} +(1.43582 - 2.48692i) q^{82} +(7.95846 - 13.7845i) q^{83} +(1.89282 + 0.692897i) q^{84} -3.87791i q^{85} +(0.424853 + 0.735867i) q^{86} +(-7.39624 + 6.18292i) q^{87} +(0.154078 + 0.0889568i) q^{88} +5.20790 q^{89} +(-2.29099 - 1.93685i) q^{90} +6.57041i q^{91} +5.70722 q^{92} +(4.40248 - 8.58010i) q^{93} -4.11079 q^{94} +5.15378i q^{95} +(1.11089 + 1.32888i) q^{96} -13.7078 q^{97} +(4.88932 + 2.82285i) q^{98} +(0.407598 + 0.344591i) 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
\(3\) 1.32888 1.11089i 0.767231 0.641370i
\(4\) −1.00000 −0.500000
\(5\) −0.866025 0.500000i −0.387298 0.223607i
\(6\) 1.11089 + 1.32888i 0.453517 + 0.542514i
\(7\) −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
\(9\) 0.531863 2.95248i 0.177288 0.984159i
\(10\) 0.500000 0.866025i 0.158114 0.273861i
\(11\) −0.0889568 + 0.154078i −0.0268215 + 0.0464562i −0.879125 0.476592i \(-0.841872\pi\)
0.852303 + 0.523048i \(0.175205\pi\)
\(12\) −1.32888 + 1.11089i −0.383616 + 0.320685i
\(13\) −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 0.999422 0.0340003i \(-0.0108247\pi\)
−0.529156 + 0.848525i \(0.677491\pi\)
\(18\) 2.95248 + 0.531863i 0.695906 + 0.125361i
\(19\) −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
\(21\) −1.89282 0.692897i −0.413048 0.151202i
\(22\) −0.154078 0.0889568i −0.0328495 0.0189656i
\(23\) −5.70722 −1.19004 −0.595019 0.803712i \(-0.702855\pi\)
−0.595019 + 0.803712i \(0.702855\pi\)
\(24\) −1.11089 1.32888i −0.226759 0.271257i
\(25\) 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 \(-0.672865\pi\)
−0.516767 + 0.856126i \(0.672865\pi\)
\(30\) −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
\(36\) −0.531863 + 2.95248i −0.0886439 + 0.492080i
\(37\) 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 0.293072 0.956091i \(-0.405323\pi\)
−0.681463 + 0.731853i \(0.738656\pi\)
\(42\) 0.692897 1.89282i 0.106916 0.292069i
\(43\) 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
\(45\) −1.93685 + 2.29099i −0.288728 + 0.341520i
\(46\) 5.70722i 0.841484i
\(47\) 4.11079i 0.599620i 0.953999 + 0.299810i \(0.0969233\pi\)
−0.953999 + 0.299810i \(0.903077\pi\)
\(48\) 1.32888 1.11089i 0.191808 0.160343i
\(49\) 2.82285 4.88932i 0.403265 0.698475i
\(50\) −0.866025 + 0.500000i −0.122474 + 0.0707107i
\(51\) 6.30741 + 2.30892i 0.883214 + 0.323314i
\(52\) 4.88952 + 2.82297i 0.678055 + 0.391475i
\(53\) 6.25104 10.8271i 0.858646 1.48722i −0.0145750 0.999894i \(-0.504640\pi\)
0.873221 0.487325i \(-0.162027\pi\)
\(54\) 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
\(57\) −8.38261 3.06858i −1.11030 0.406443i
\(58\) 5.56575i 0.730819i
\(59\) 4.27376 2.46746i 0.556396 0.321235i −0.195302 0.980743i \(-0.562569\pi\)
0.751698 + 0.659508i \(0.229235\pi\)
\(60\) 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
\(69\) −7.58423 + 6.34007i −0.913034 + 0.763255i
\(70\) −1.16374 −0.139094
\(71\) −10.9712 6.33424i −1.30204 0.751736i −0.321290 0.946981i \(-0.604116\pi\)
−0.980754 + 0.195245i \(0.937450\pi\)
\(72\) −2.95248 0.531863i −0.347953 0.0626807i
\(73\) 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
\(75\) 1.62650 + 0.595404i 0.187812 + 0.0687513i
\(76\) 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
\(81\) −8.43424 3.14063i −0.937138 0.348959i
\(82\) 1.43582 2.48692i 0.158560 0.274634i
\(83\) 7.95846 13.7845i 0.873555 1.51304i 0.0152607 0.999884i \(-0.495142\pi\)
0.858294 0.513158i \(-0.171524\pi\)
\(84\) 1.89282 + 0.692897i 0.206524 + 0.0756012i
\(85\) 3.87791i 0.420618i
\(86\) 0.424853 + 0.735867i 0.0458131 + 0.0793506i
\(87\) −7.39624 + 6.18292i −0.792960 + 0.662878i
\(88\) 0.154078 + 0.0889568i 0.0164247 + 0.00948282i
\(89\) 5.20790 0.552036 0.276018 0.961152i \(-0.410985\pi\)
0.276018 + 0.961152i \(0.410985\pi\)
\(90\) −2.29099 1.93685i −0.241491 0.204161i
\(91\) 6.57041i 0.688766i
\(92\) 5.70722 0.595019
\(93\) 4.40248 8.58010i 0.456516 0.889715i
\(94\) −4.11079 −0.423995
\(95\) 5.15378i 0.528767i
\(96\) 1.11089 + 1.32888i 0.113379 + 0.135629i
\(97\) −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
\(99\) 0.407598 + 0.344591i 0.0409651 + 0.0346327i
\(100\) −0.500000 0.866025i −0.0500000 0.0866025i
\(101\) 2.34879i 0.233713i 0.993149 + 0.116856i \(0.0372817\pi\)
−0.993149 + 0.116856i \(0.962718\pi\)
\(102\) −2.30892 + 6.30741i −0.228617 + 0.624527i
\(103\) −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
\(105\) 1.29279 + 1.54648i 0.126163 + 0.150921i
\(106\) 10.8271 + 6.25104i 1.05162 + 0.607154i
\(107\) 4.00394 2.31167i 0.387075 0.223478i −0.293817 0.955862i \(-0.594926\pi\)
0.680892 + 0.732384i \(0.261592\pi\)
\(108\) 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
\(111\) 0.537981 1.46963i 0.0510629 0.139491i
\(112\) −0.581871 1.00783i −0.0549817 0.0952310i
\(113\) −0.376805 0.217548i −0.0354468 0.0204652i 0.482172 0.876077i \(-0.339848\pi\)
−0.517619 + 0.855611i \(0.673181\pi\)
\(114\) 3.06858 8.38261i 0.287399 0.785104i
\(115\) 4.94260 + 2.85361i 0.460900 + 0.266101i
\(116\) 5.56575 0.516767
\(117\) −10.9353 + 12.9348i −1.01097 + 1.19582i
\(118\) 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
\(129\) 0.505918 1.38204i 0.0445436 0.121682i
\(130\) −4.88952 + 2.82297i −0.428839 + 0.247591i
\(131\) 18.3335 10.5849i 1.60181 0.924803i 0.610679 0.791878i \(-0.290896\pi\)
0.991126 0.132925i \(-0.0424369\pi\)
\(132\) −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
\(135\) −0.0288151 + 5.19607i −0.00248001 + 0.447207i
\(136\) 3.35837 1.93896i 0.287978 0.166264i
\(137\) −6.42120 + 11.1218i −0.548600 + 0.950203i 0.449771 + 0.893144i \(0.351506\pi\)
−0.998371 + 0.0570592i \(0.981828\pi\)
\(138\) −6.34007 7.58423i −0.539703 0.645613i
\(139\) 0.913499i 0.0774820i 0.999249 + 0.0387410i \(0.0123347\pi\)
−0.999249 + 0.0387410i \(0.987665\pi\)
\(140\) 1.16374i 0.0983542i
\(141\) 4.56662 + 5.46276i 0.384579 + 0.460047i
\(142\) 6.33424 10.9712i 0.531557 0.920685i
\(143\) 0.869912 0.502244i 0.0727457 0.0419998i
\(144\) 0.531863 2.95248i 0.0443220 0.246040i
\(145\) 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 −0.653762 0.756700i \(-0.726810\pi\)
0.328441 + 0.944525i \(0.393477\pi\)
\(150\) −0.595404 + 1.62650i −0.0486145 + 0.132803i
\(151\) 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
\(162\) 3.14063 8.43424i 0.246751 0.662657i
\(163\) 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
\(165\) 0.105930 0.289376i 0.00824667 0.0225279i
\(166\) 13.7845 + 7.95846i 1.06988 + 0.617697i
\(167\) 4.44098 + 7.69200i 0.343653 + 0.595225i 0.985108 0.171936i \(-0.0550021\pi\)
−0.641455 + 0.767161i \(0.721669\pi\)
\(168\) −0.692897 + 1.89282i −0.0534581 + 0.146035i
\(169\) 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 0.580650 0.814153i \(-0.302798\pi\)
−0.414752 + 0.909934i \(0.636132\pi\)
\(174\) −6.18292 7.39624i −0.468726 0.560707i
\(175\) 0.581871 1.00783i 0.0439853 0.0761848i
\(176\) −0.0889568 + 0.154078i −0.00670537 + 0.0116140i
\(177\) 2.93827 8.02662i 0.220854 0.603318i
\(178\) 5.20790i 0.390348i
\(179\) −7.26572 12.5846i −0.543065 0.940616i −0.998726 0.0504628i \(-0.983930\pi\)
0.455661 0.890153i \(-0.349403\pi\)
\(180\) 1.93685 2.29099i 0.144364 0.170760i
\(181\) −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
\(183\) −0.00252716 0.00302309i −0.000186813 0.000223473i
\(184\) 5.70722i 0.420742i
\(185\) −0.903557 −0.0664308
\(186\) 8.58010 + 4.40248i 0.629124 + 0.322806i
\(187\) −0.689933 −0.0504529
\(188\) 4.11079i 0.299810i
\(189\) −3.05249 + 5.21999i −0.222036 + 0.379699i
\(190\) −5.15378 −0.373895
\(191\) −5.58732 3.22584i −0.404284 0.233414i 0.284047 0.958810i \(-0.408323\pi\)
−0.688331 + 0.725397i \(0.741656\pi\)
\(192\) −1.32888 + 1.11089i −0.0959039 + 0.0801713i
\(193\) −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
\(195\) 9.18310 + 3.36161i 0.657615 + 0.240730i
\(196\) −2.82285 + 4.88932i −0.201632 + 0.349237i
\(197\) −9.43359 + 16.3395i −0.672115 + 1.16414i 0.305188 + 0.952292i \(0.401281\pi\)
−0.977303 + 0.211846i \(0.932053\pi\)
\(198\) −0.344591 + 0.407598i −0.0244890 + 0.0289667i
\(199\) 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
\(204\) −6.30741 2.30892i −0.441607 0.161657i
\(205\) 1.43582 + 2.48692i 0.100282 + 0.173694i
\(206\) −14.7109 8.49332i −1.02495 0.591758i
\(207\) −3.03546 + 16.8504i −0.210979 + 1.17119i
\(208\) −4.88952 2.82297i −0.339027 0.195738i
\(209\) 0.916927 0.0634252
\(210\) −1.54648 + 1.29279i −0.106717 + 0.0892107i
\(211\) 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
\(222\) 1.46963 + 0.537981i 0.0986353 + 0.0361069i
\(223\) −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 0.891438 0.453143i \(-0.149697\pi\)
0.0532857 + 0.998579i \(0.483031\pi\)
\(228\) 8.38261 + 3.06858i 0.555152 + 0.203222i
\(229\) 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
\(231\) 0.275139 0.230004i 0.0181028 0.0151332i
\(232\) 5.56575i 0.365410i
\(233\) 15.7057i 1.02891i 0.857517 + 0.514456i \(0.172006\pi\)
−0.857517 + 0.514456i \(0.827994\pi\)
\(234\) −12.9348 10.9353i −0.845572 0.714863i
\(235\) 2.05539 3.56005i 0.134079 0.232232i
\(236\) −4.27376 + 2.46746i −0.278198 + 0.160618i
\(237\) −1.73685 + 4.74464i −0.112820 + 0.308197i
\(238\) 3.90828 + 2.25644i 0.253336 + 0.146264i
\(239\) 2.90971 5.03976i 0.188213 0.325995i −0.756441 0.654062i \(-0.773064\pi\)
0.944655 + 0.328067i \(0.106397\pi\)
\(240\) −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
\(243\) −14.6970 + 5.19595i −0.942814 + 0.333321i
\(244\) 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 0.704784 0.709422i \(-0.251044\pi\)
−0.966770 + 0.255650i \(0.917711\pi\)
\(252\) 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
\(255\) −4.30792 5.15329i −0.269772 0.322712i
\(256\) 1.00000 0.0625000
\(257\) −20.8110 12.0152i −1.29815 0.749490i −0.318070 0.948067i \(-0.603035\pi\)
−0.980085 + 0.198577i \(0.936368\pi\)
\(258\) 1.38204 + 0.505918i 0.0860423 + 0.0314971i
\(259\) −0.910632 0.525754i −0.0565839 0.0326688i
\(260\) −2.82297 4.88952i −0.175073 0.303235i
\(261\) −2.96022 + 16.4328i −0.183233 + 1.01716i
\(262\) 10.5849 + 18.3335i 0.653934 + 1.13265i
\(263\) −13.3178 −0.821209 −0.410605 0.911813i \(-0.634682\pi\)
−0.410605 + 0.911813i \(0.634682\pi\)
\(264\) 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
\(267\) 6.92069 5.78538i 0.423539 0.354060i
\(268\) 3.20296 5.54769i 0.195652 0.338879i
\(269\) −0.769900 + 1.33351i −0.0469416 + 0.0813052i −0.888542 0.458796i \(-0.848281\pi\)
0.841600 + 0.540101i \(0.181614\pi\)
\(270\) −5.19607 0.0288151i −0.316223 0.00175363i
\(271\) 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
\(273\) 7.29898 + 8.73131i 0.441754 + 0.528443i
\(274\) −11.1218 6.42120i −0.671895 0.387919i
\(275\) −0.177914 −0.0107286
\(276\) 7.58423 6.34007i 0.456517 0.381628i
\(277\) 14.9715i 0.899552i −0.893141 0.449776i \(-0.851504\pi\)
0.893141 0.449776i \(-0.148496\pi\)
\(278\) −0.913499 −0.0547880
\(279\) −3.68113 16.2926i −0.220383 0.975413i
\(280\) 1.16374 0.0695469
\(281\) 7.32299i 0.436853i −0.975853 0.218426i \(-0.929908\pi\)
0.975853 0.218426i \(-0.0700924\pi\)
\(282\) −5.46276 + 4.56662i −0.325303 + 0.271938i
\(283\) −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
\(285\) 5.72526 + 6.84878i 0.339135 + 0.405686i
\(286\) 0.502244 + 0.869912i 0.0296983 + 0.0514390i
\(287\) 3.34186i 0.197263i
\(288\) 2.95248 + 0.531863i 0.173976 + 0.0313404i
\(289\) 0.980903 1.69897i 0.0577002 0.0999397i
\(290\) −2.78288 + 4.82008i −0.163416 + 0.283045i
\(291\) −18.2160 + 15.2278i −1.06784 + 0.892668i
\(292\) −9.32062 5.38127i −0.545448 0.314915i
\(293\) −29.5457 + 17.0582i −1.72608 + 0.996551i −0.821545 + 0.570143i \(0.806888\pi\)
−0.904531 + 0.426408i \(0.859779\pi\)
\(294\) 9.63321 1.68024i 0.561820 0.0979936i
\(295\) −4.93491 −0.287322
\(296\) −0.451779 0.782503i −0.0262591 0.0454821i
\(297\) 0.924452 + 0.00512660i 0.0536421 + 0.000297475i
\(298\) −2.29269 3.97105i −0.132812 0.230037i
\(299\) 27.9056 + 16.1113i 1.61382 + 0.931740i
\(300\) −1.62650 0.595404i −0.0939059 0.0343757i
\(301\) −0.856359 0.494419i −0.0493597 0.0284979i
\(302\) 18.0258 1.03727
\(303\) 2.60923 + 3.12126i 0.149897 + 0.179312i
\(304\) −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 \(-0.861294\pi\)
0.906551 0.422097i \(-0.138706\pi\)
\(312\) 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
\(315\) 3.43592 + 0.618952i 0.193592 + 0.0348740i
\(316\) 2.52627 1.45854i 0.142114 0.0820495i
\(317\) −4.78141 + 2.76055i −0.268551 + 0.155048i −0.628229 0.778029i \(-0.716220\pi\)
0.359678 + 0.933076i \(0.382886\pi\)
\(318\) 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
\(321\) 2.75276 7.51986i 0.153644 0.419718i
\(322\) −5.75191 + 3.32087i −0.320542 + 0.185065i
\(323\) 9.99295 17.3083i 0.556023 0.963060i
\(324\) 8.43424 + 3.14063i 0.468569 + 0.174479i
\(325\) 5.64593i 0.313180i
\(326\) 17.0876i 0.946392i
\(327\) 24.3587 20.3627i 1.34704 1.12606i
\(328\) −1.43582 + 2.48692i −0.0792800 + 0.137317i
\(329\) 4.14298 2.39195i 0.228410 0.131872i
\(330\) 0.289376 + 0.105930i 0.0159296 + 0.00583128i
\(331\) −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
\(336\) −1.89282 0.692897i −0.103262 0.0378006i
\(337\) 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 0.998575 0.0533666i \(-0.0169952\pi\)
−0.545504 + 0.838108i \(0.683662\pi\)
\(348\) 7.39624 6.18292i 0.396480 0.331439i
\(349\) 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
\(351\) −0.162688 + 29.3367i −0.00868365 + 1.56588i
\(352\) −0.154078 0.0889568i −0.00821237 0.00474141i
\(353\) −5.87229 10.1711i −0.312551 0.541353i 0.666363 0.745627i \(-0.267850\pi\)
−0.978914 + 0.204274i \(0.934517\pi\)
\(354\) 8.02662 + 2.93827i 0.426610 + 0.156167i
\(355\) 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 0.723238 0.690598i \(-0.242653\pi\)
−0.236457 + 0.971642i \(0.575986\pi\)
\(360\) 2.29099 + 1.93685i 0.120746 + 0.102081i
\(361\) −3.78073 + 6.54841i −0.198986 + 0.344653i
\(362\) 1.88922 3.27223i 0.0992953 0.171984i
\(363\) 17.8400 + 6.53060i 0.936357 + 0.342767i
\(364\) 6.57041i 0.344383i
\(365\) −5.38127 9.32062i −0.281668 0.487864i
\(366\) 0.00302309 0.00252716i 0.000158019 0.000132097i
\(367\) 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
\(369\) −5.56193 + 6.57891i −0.289543 + 0.342484i
\(370\) 0.903557i 0.0469737i
\(371\) −14.5492 −0.755356
\(372\) −4.40248 + 8.58010i −0.228258 + 0.444858i
\(373\) −15.4070 −0.797744 −0.398872 0.917007i \(-0.630598\pi\)
−0.398872 + 0.917007i \(0.630598\pi\)
\(374\) 0.689933i 0.0356756i
\(375\) −1.11089 1.32888i −0.0573659 0.0686233i
\(376\) 4.11079 0.211998
\(377\) 27.2139 + 15.7119i 1.40159 + 0.809206i
\(378\) −5.21999 3.05249i −0.268487 0.157003i
\(379\) −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
\(381\) 7.50296 20.4962i 0.384388 1.05005i
\(382\) 3.22584 5.58732i 0.165048 0.285872i
\(383\) 11.7909 20.4225i 0.602488 1.04354i −0.389955 0.920834i \(-0.627509\pi\)
0.992443 0.122706i \(-0.0391574\pi\)
\(384\) −1.11089 1.32888i −0.0566897 0.0678143i
\(385\) −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 \(-0.830881\pi\)
−0.00770372 0.999970i \(-0.502452\pi\)
\(390\) −3.36161 + 9.18310i −0.170222 + 0.465004i
\(391\) −11.0660 19.1670i −0.559634 0.969315i
\(392\) −4.88932 2.82285i −0.246948 0.142576i
\(393\) 12.6045 34.4325i 0.635814 1.73689i
\(394\) −16.3395 9.43359i −0.823170 0.475257i
\(395\) 2.91709 0.146775
\(396\) −0.407598 0.344591i −0.0204826 0.0173164i
\(397\) −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 \(-0.514406\pi\)
−0.0452436 + 0.998976i \(0.514406\pi\)
\(402\) −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
\(408\) 2.30892 6.30741i 0.114309 0.312263i
\(409\) −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
\(414\) −16.8504 3.03546i −0.828154 0.149185i
\(415\) −13.7845 + 7.95846i −0.676653 + 0.390666i
\(416\) 2.82297 4.88952i 0.138407 0.239729i
\(417\) 1.01479 + 1.21393i 0.0496946 + 0.0594466i
\(418\) 0.916927i 0.0448484i
\(419\) 16.9548i 0.828295i −0.910210 0.414148i \(-0.864080\pi\)
0.910210 0.414148i \(-0.135920\pi\)
\(420\) −1.29279 1.54648i −0.0630815 0.0754604i
\(421\) 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
\(423\) 12.1370 + 2.18638i 0.590121 + 0.106305i
\(424\) −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
\(429\) 0.598076 1.63380i 0.0288754 0.0788805i
\(430\) 0.849706i 0.0409765i
\(431\) 18.8864 10.9041i 0.909726 0.525231i 0.0293833 0.999568i \(-0.490646\pi\)
0.880343 + 0.474337i \(0.157312\pi\)
\(432\) −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
\(441\) −12.9342 10.9349i −0.615916 0.520708i
\(442\) 21.8944 1.04141
\(443\) 18.1698 + 10.4904i 0.863275 + 0.498412i 0.865108 0.501586i \(-0.167250\pi\)
−0.00183237 + 0.999998i \(0.500583\pi\)
\(444\) −0.537981 + 1.46963i −0.0255315 + 0.0697457i
\(445\) −4.51017 2.60395i −0.213803 0.123439i
\(446\) −2.19128 3.79542i −0.103760 0.179718i
\(447\) −2.73015 + 7.45810i −0.129132 + 0.352756i
\(448\) 0.581871 + 1.00783i 0.0274908 + 0.0476155i
\(449\) 30.8958 1.45806 0.729032 0.684479i \(-0.239970\pi\)
0.729032 + 0.684479i \(0.239970\pi\)
\(450\) 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
\(453\) −20.0246 23.9542i −0.940837 1.12546i
\(454\) −8.21783 + 14.2337i −0.385682 + 0.668020i
\(455\) 3.28521 5.69014i 0.154013 0.266758i
\(456\) −3.06858 + 8.38261i −0.143699 + 0.392552i
\(457\) 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
\(459\) 10.1717 17.3945i 0.474775 0.811904i
\(460\) −4.94260 2.85361i −0.230450 0.133050i
\(461\) −19.8197 −0.923095 −0.461547 0.887116i \(-0.652706\pi\)
−0.461547 + 0.887116i \(0.652706\pi\)
\(462\) 0.230004 + 0.275139i 0.0107008 + 0.0128006i
\(463\) 10.9325i 0.508074i −0.967194 0.254037i \(-0.918241\pi\)
0.967194 0.254037i \(-0.0817586\pi\)
\(464\) −5.56575 −0.258384
\(465\) −8.10271 + 5.22934i −0.375754 + 0.242505i
\(466\) −15.7057 −0.727551
\(467\) 11.3377i 0.524644i −0.964980 0.262322i \(-0.915512\pi\)
0.964980 0.262322i \(-0.0844883\pi\)
\(468\) 10.9353 12.9348i 0.505485 0.597910i
\(469\) 7.45483 0.344232
\(470\) 3.56005 + 2.05539i 0.164213 + 0.0948083i
\(471\) −12.0071 + 10.0374i −0.553259 + 0.462499i
\(472\) −2.46746 4.27376i −0.113574 0.196716i
\(473\) 0.151174i 0.00695100i
\(474\) −4.74464 1.73685i −0.217928 0.0797760i
\(475\) 2.57689 4.46331i 0.118236 0.204790i
\(476\) −2.25644 + 3.90828i −0.103424 + 0.179136i
\(477\) −28.6421 24.2146i −1.31143 1.10871i
\(478\) 5.03976 + 2.90971i 0.230513 + 0.133087i
\(479\) 35.3823 20.4280i 1.61666 0.933377i 0.628880 0.777502i \(-0.283514\pi\)
0.987777 0.155875i \(-0.0498198\pi\)
\(480\) −0.297614 1.70629i −0.0135842 0.0778811i
\(481\) −5.10142 −0.232605
\(482\) 3.33368 + 5.77410i 0.151845 + 0.263003i
\(483\) 10.8028 + 3.95452i 0.491543 + 0.179937i
\(484\) −5.48417 9.49887i −0.249281 0.431767i
\(485\) 11.8713 + 6.85389i 0.539047 + 0.311219i
\(486\) −5.19595 14.6970i −0.235693 0.666670i
\(487\) −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
\(489\) 22.7074 18.9823i 1.02686 0.858411i
\(490\) −2.82285 4.88932i −0.127523 0.220877i
\(491\) 16.2180 28.0904i 0.731908 1.26770i −0.224159 0.974553i \(-0.571963\pi\)
0.956067 0.293149i \(-0.0947032\pi\)
\(492\) 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
\(501\) 14.4465 + 5.28835i 0.645421 + 0.236266i
\(502\) 7.18911 4.15063i 0.320866 0.185252i
\(503\) 32.1602 18.5677i 1.43395 0.827893i 0.436533 0.899688i \(-0.356206\pi\)
0.997419 + 0.0717951i \(0.0228728\pi\)
\(504\) 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
\(507\) 30.7027 + 11.2392i 1.36355 + 0.499150i
\(508\) −10.9132 + 6.30073i −0.484194 + 0.279550i
\(509\) −7.91070 + 13.7017i −0.350636 + 0.607319i −0.986361 0.164597i \(-0.947368\pi\)
0.635725 + 0.771915i \(0.280701\pi\)
\(510\) 5.15329 4.30792i 0.228192 0.190758i
\(511\) 12.5248i 0.554065i
\(512\) 1.00000i 0.0441942i
\(513\) −13.5183 + 23.1174i −0.596848 + 1.02066i
\(514\) 12.0152 20.8110i 0.529970 0.917934i
\(515\) 14.7109 8.49332i 0.648238 0.374261i
\(516\) −0.505918 + 1.38204i −0.0222718 + 0.0608411i
\(517\) −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 −0.918392 0.395671i \(-0.870512\pi\)
−0.116535 + 0.993187i \(0.537179\pi\)
\(522\) −16.4328 2.96022i −0.719242 0.129565i
\(523\) 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
\(534\) 5.78538 + 6.92069i 0.250358 + 0.299488i
\(535\) −4.62335 −0.199885
\(536\) 5.54769 + 3.20296i 0.239624 + 0.138347i
\(537\) −23.6353 8.65207i −1.01994 0.373364i
\(538\) −1.33351 0.769900i −0.0574915 0.0331927i
\(539\) 0.502224 + 0.869877i 0.0216323 + 0.0374682i
\(540\) 0.0288151 5.19607i 0.00124000 0.223603i
\(541\) 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
\(546\) −8.73131 + 7.29898i −0.373666 + 0.312368i
\(547\) 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
\(549\) −0.00671661 0.00120994i −0.000286658 5.16390e-5i
\(550\) 0.177914i 0.00758626i
\(551\) 14.3423 + 24.8417i 0.611004 + 1.05829i
\(552\) 6.34007 + 7.58423i 0.269851 + 0.322806i
\(553\) 2.93993 + 1.69737i 0.125019 + 0.0721795i
\(554\) 14.9715 0.636080
\(555\) −1.20072 + 1.00375i −0.0509678 + 0.0426068i
\(556\) 0.913499i 0.0387410i
\(557\) −23.4375 −0.993081 −0.496540 0.868014i \(-0.665397\pi\)
−0.496540 + 0.868014i \(0.665397\pi\)
\(558\) 16.2926 3.68113i 0.689721 0.155835i
\(559\) −4.79738 −0.202908
\(560\) 1.16374i 0.0491771i
\(561\) −0.916841 + 0.766437i −0.0387090 + 0.0323590i
\(562\) 7.32299 0.308902
\(563\) 3.55872 + 2.05463i 0.149982 + 0.0865923i 0.573113 0.819476i \(-0.305736\pi\)
−0.423131 + 0.906069i \(0.639069\pi\)
\(564\) −4.56662 5.46276i −0.192289 0.230024i
\(565\) 0.217548 + 0.376805i 0.00915232 + 0.0158523i
\(566\) 14.6211i 0.614570i
\(567\) 1.74242 + 10.3277i 0.0731748 + 0.433724i
\(568\) −6.33424 + 10.9712i −0.265779 + 0.460342i
\(569\) −20.3967 + 35.3280i −0.855072 + 1.48103i 0.0215060 + 0.999769i \(0.493154\pi\)
−0.876578 + 0.481260i \(0.840179\pi\)
\(570\) −6.84878 + 5.72526i −0.286864 + 0.239805i
\(571\) −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
\(576\) −0.531863 + 2.95248i −0.0221610 + 0.123020i
\(577\) −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
\(579\) −3.42007 1.25197i −0.142133 0.0520301i
\(580\) −4.82008 2.78288i −0.200143 0.115553i
\(581\) −18.5232 −0.768472
\(582\) −15.2278 18.2160i −0.631212 0.755079i
\(583\) 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 \(-0.215507\pi\)
0.779433 + 0.626485i \(0.215507\pi\)
\(588\) 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 \(0.275660\pi\)
−0.647870 + 0.761751i \(0.724340\pi\)
\(594\) −0.00512660 + 0.924452i −0.000210347 + 0.0379307i
\(595\) −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 0.0946646 0.995509i \(-0.469822\pi\)
−0.814804 + 0.579737i \(0.803155\pi\)
\(600\) 0.595404 1.62650i 0.0243073 0.0664015i
\(601\) −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
\(603\) 14.6759 + 12.4073i 0.597648 + 0.505263i
\(604\) 18.0258i 0.733458i
\(605\) 10.9683i 0.445927i
\(606\) −3.12126 + 2.60923i −0.126793 + 0.105993i
\(607\) −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
\(609\) 10.5350 + 3.85649i 0.426899 + 0.156273i
\(610\) −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
\(615\) 4.67072 + 1.70979i 0.188342 + 0.0689453i
\(616\) 0.207046i 0.00834210i
\(617\) 17.5553 10.1355i 0.706749 0.408042i −0.103107 0.994670i \(-0.532878\pi\)
0.809856 + 0.586628i \(0.199545\pi\)
\(618\) −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
\(627\) 1.21849 1.01860i 0.0486618 0.0406790i
\(628\) 9.03549 0.360555
\(629\) 3.03448 + 1.75196i 0.120993 + 0.0698551i
\(630\) −0.618952 + 3.43592i −0.0246596 + 0.136890i
\(631\) 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
\(633\) 18.0064 + 6.59151i 0.715689 + 0.261989i
\(634\) −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
\(639\) −24.5369 + 29.0233i −0.970664 + 1.14815i
\(640\) −0.500000 + 0.866025i −0.0197642 + 0.0342327i
\(641\) 10.4121 18.0343i 0.411254 0.712313i −0.583773 0.811917i \(-0.698424\pi\)
0.995027 + 0.0996039i \(0.0317576\pi\)
\(642\) 7.51986 + 2.75276i 0.296785 + 0.108643i
\(643\) 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
\(645\) −1.12916 + 0.943927i −0.0444606 + 0.0371671i
\(646\) 17.3083 + 9.99295i 0.680986 + 0.393167i
\(647\) −29.3824 −1.15514 −0.577570 0.816341i \(-0.695999\pi\)
−0.577570 + 0.816341i \(0.695999\pi\)
\(648\) −3.14063 + 8.43424i −0.123376 + 0.331328i
\(649\) 0.877988i 0.0344640i
\(650\) 5.64593 0.221452
\(651\) −11.2090 + 0.555557i −0.439314 + 0.0217740i
\(652\) −17.0876 −0.669201
\(653\) 36.5284i 1.42947i −0.699397 0.714734i \(-0.746548\pi\)
0.699397 0.714734i \(-0.253452\pi\)
\(654\) 20.3627 + 24.3587i 0.796246 + 0.952499i
\(655\) −21.1697 −0.827169
\(656\) −2.48692 1.43582i −0.0970978 0.0560595i
\(657\) 20.8454 24.6568i 0.813255 0.961955i
\(658\) 2.39195 + 4.14298i 0.0932479 + 0.161510i
\(659\) 18.6641i 0.727050i 0.931584 + 0.363525i \(0.118427\pi\)
−0.931584 + 0.363525i \(0.881573\pi\)
\(660\) −0.105930 + 0.289376i −0.00412334 + 0.0112639i
\(661\) −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
\(663\) −24.3222 29.0951i −0.944597 1.12996i
\(664\) −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
\(669\) −2.60940 + 7.12824i −0.100885 + 0.275594i
\(670\) 3.20296 + 5.54769i 0.123741 + 0.214326i
\(671\) 0.000350512 0 0.000202368i 1.35314e−5 0 7.81234e-6i
\(672\) 0.692897 1.89282i 0.0267291 0.0730173i
\(673\) 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
\(675\) 2.62299 4.48552i 0.100959 0.172648i
\(676\) −9.43828 16.3476i −0.363011 0.628753i
\(677\) 3.71782 6.43945i 0.142887 0.247488i −0.785695 0.618614i \(-0.787695\pi\)
0.928583 + 0.371125i \(0.121028\pi\)
\(678\) −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 \(-0.821270\pi\)
0.846459 0.532453i \(-0.178730\pi\)
\(684\) 14.5484 5.23434i 0.556270 0.200140i
\(685\) 11.1218 6.42120i 0.424944 0.245341i
\(686\) 14.7163i 0.561872i
\(687\) 0.427357 1.16744i 0.0163047 0.0445405i
\(688\) 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
\(693\) 0.110120 0.611297i 0.00418311 0.0232213i
\(694\) −14.6181 + 8.43977i −0.554896 + 0.320369i
\(695\) 0.456749 0.791113i 0.0173255 0.0300086i
\(696\) 6.18292 + 7.39624i 0.234363 + 0.280354i
\(697\) 11.1360i 0.421806i
\(698\) 32.6846i 1.23713i
\(699\) 17.4472 + 20.8710i 0.659914 + 0.789414i
\(700\) −0.581871 + 1.00783i −0.0219927 + 0.0380924i
\(701\) 6.49145 3.74784i 0.245179 0.141554i −0.372376 0.928082i \(-0.621457\pi\)
0.617555 + 0.786528i \(0.288123\pi\)
\(702\) −29.3367 0.162688i −1.10724 0.00614027i
\(703\) −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
\(708\) −2.93827 + 8.02662i −0.110427 + 0.301659i
\(709\) 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 0.886188 0.463327i \(-0.153344\pi\)
−0.844347 + 0.535797i \(0.820011\pi\)
\(720\) −1.93685 + 2.29099i −0.0721820 + 0.0853801i
\(721\) 19.7681 0.736202
\(722\) −6.54841 3.78073i −0.243707 0.140704i
\(723\) 3.96977 10.8444i 0.147637 0.403309i
\(724\) 3.27223 + 1.88922i 0.121611 + 0.0702124i
\(725\) −2.78288 4.82008i −0.103353 0.179013i
\(726\) −6.53060 + 17.8400i −0.242373 + 0.662104i
\(727\) 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
\(732\) 0.00252716 + 0.00302309i 9.34066e−5 + 0.000111736i
\(733\) −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
\(735\) −3.36147 + 9.18272i −0.123990 + 0.338710i
\(736\) 5.70722i 0.210371i
\(737\) −0.569850 0.987008i −0.0209907 0.0363569i
\(738\) −6.57891 5.56193i −0.242173 0.204738i
\(739\) 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
\(741\) 32.3245 + 38.6677i 1.18747 + 1.42049i
\(742\) 14.5492i 0.534118i
\(743\) −33.9392 −1.24511 −0.622555 0.782576i \(-0.713905\pi\)
−0.622555 + 0.782576i \(0.713905\pi\)
\(744\) −8.58010 4.40248i −0.314562 0.161403i
\(745\) 4.58537 0.167995
\(746\) 15.4070i 0.564090i
\(747\) −36.4655 30.8286i −1.33420 1.12796i
\(748\) 0.689933 0.0252264
\(749\) −4.65955 2.69019i −0.170256 0.0982975i
\(750\) 1.32888 1.11089i 0.0485240 0.0405638i
\(751\) −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
\(753\) −13.5020 4.94261i −0.492040 0.180119i
\(754\) −15.7119 + 27.2139i −0.572195 + 0.991071i
\(755\) −9.01289 + 15.6108i −0.328013 + 0.568134i
\(756\) 3.05249 5.21999i 0.111018 0.189849i
\(757\) −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 0.802053 0.597253i \(-0.203741\pi\)
−0.918263 + 0.395971i \(0.870408\pi\)
\(762\) 20.4962 + 7.50296i 0.742500 + 0.271803i
\(763\) −10.6658 18.4737i −0.386128 0.668793i
\(764\) 5.58732 + 3.22584i 0.202142 + 0.116707i
\(765\) −11.4494 2.06252i −0.413955 0.0745705i
\(766\) 20.4225 + 11.7909i 0.737895 + 0.426024i
\(767\) −27.8622 −1.00605
\(768\) 1.32888 1.11089i 0.0479520 0.0400857i
\(769\) 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 \(-0.433479\pi\)
0.207465 + 0.978242i \(0.433479\pi\)
\(774\) 2.39859 0.862988i 0.0862157 0.0310195i
\(775\) 4.44330 + 3.35516i 0.159608 + 0.120521i