Properties

Label 585.2.bt.b.571.23
Level $585$
Weight $2$
Character 585.571
Analytic conductor $4.671$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 585 = 3^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 585.bt (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.67124851824\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(54\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 571.23
Character \(\chi\) \(=\) 585.571
Dual form 585.2.bt.b.376.23

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.527033 + 0.304283i) q^{2} +(-1.60346 + 0.654926i) q^{3} +(-0.814824 + 1.41132i) q^{4} +(0.866025 + 0.500000i) q^{5} +(0.645792 - 0.833072i) q^{6} +(1.11998 - 0.646621i) q^{7} -2.20888i q^{8} +(2.14214 - 2.10029i) q^{9} +O(q^{10})\) \(q+(-0.527033 + 0.304283i) q^{2} +(-1.60346 + 0.654926i) q^{3} +(-0.814824 + 1.41132i) q^{4} +(0.866025 + 0.500000i) q^{5} +(0.645792 - 0.833072i) q^{6} +(1.11998 - 0.646621i) q^{7} -2.20888i q^{8} +(2.14214 - 2.10029i) q^{9} -0.608566 q^{10} +(2.32348 - 1.34146i) q^{11} +(0.382227 - 2.79663i) q^{12} +(2.47611 - 2.62086i) q^{13} +(-0.393511 + 0.681581i) q^{14} +(-1.71610 - 0.234546i) q^{15} +(-0.957524 - 1.65848i) q^{16} -1.63642 q^{17} +(-0.489899 + 1.75874i) q^{18} +2.80454i q^{19} +(-1.41132 + 0.814824i) q^{20} +(-1.37235 + 1.77033i) q^{21} +(-0.816367 + 1.41399i) q^{22} +(4.00047 - 6.92901i) q^{23} +(1.44665 + 3.54184i) q^{24} +(0.500000 + 0.866025i) q^{25} +(-0.507508 + 2.13472i) q^{26} +(-2.05930 + 4.77067i) q^{27} +2.10753i q^{28} +(1.93551 + 3.35240i) q^{29} +(0.975808 - 0.398565i) q^{30} +(7.48207 + 4.31977i) q^{31} +(4.83518 + 2.79159i) q^{32} +(-2.84704 + 3.67268i) q^{33} +(0.862446 - 0.497933i) q^{34} +1.29324 q^{35} +(1.21870 + 4.73461i) q^{36} +10.1601i q^{37} +(-0.853374 - 1.47809i) q^{38} +(-2.25386 + 5.82410i) q^{39} +(1.10444 - 1.91295i) q^{40} +(-7.08878 - 4.09271i) q^{41} +(0.184593 - 1.35061i) q^{42} +(-6.05745 - 10.4918i) q^{43} +4.37222i q^{44} +(2.90530 - 0.747832i) q^{45} +4.86909i q^{46} +(10.5167 - 6.07183i) q^{47} +(2.62153 + 2.03219i) q^{48} +(-2.66376 + 4.61377i) q^{49} +(-0.527033 - 0.304283i) q^{50} +(2.62392 - 1.07173i) q^{51} +(1.68127 + 5.63011i) q^{52} +3.10426 q^{53} +(-0.366312 - 3.14091i) q^{54} +2.68292 q^{55} +(-1.42831 - 2.47390i) q^{56} +(-1.83677 - 4.49696i) q^{57} +(-2.04016 - 1.17789i) q^{58} +(8.90917 + 5.14371i) q^{59} +(1.72934 - 2.23084i) q^{60} +(2.42579 + 4.20160i) q^{61} -5.25773 q^{62} +(1.04107 - 3.73744i) q^{63} +0.432360 q^{64} +(3.45480 - 1.03168i) q^{65} +(0.382951 - 2.80193i) q^{66} +(-11.3875 - 6.57457i) q^{67} +(1.33339 - 2.30950i) q^{68} +(-1.87659 + 13.7304i) q^{69} +(-0.681581 + 0.393511i) q^{70} -0.938010i q^{71} +(-4.63929 - 4.73174i) q^{72} +14.6411i q^{73} +(-3.09153 - 5.35469i) q^{74} +(-1.36891 - 1.06117i) q^{75} +(-3.95810 - 2.28521i) q^{76} +(1.73483 - 3.00482i) q^{77} +(-0.584313 - 3.75530i) q^{78} +(3.27558 + 5.67348i) q^{79} -1.91505i q^{80} +(0.177565 - 8.99825i) q^{81} +4.98136 q^{82} +(9.19282 - 5.30748i) q^{83} +(-1.38028 - 3.37933i) q^{84} +(-1.41718 - 0.818208i) q^{85} +(6.38495 + 3.68635i) q^{86} +(-5.29908 - 4.10782i) q^{87} +(-2.96312 - 5.13228i) q^{88} -10.4458i q^{89} +(-1.30364 + 1.27816i) q^{90} +(1.07849 - 4.53641i) q^{91} +(6.51935 + 11.2918i) q^{92} +(-14.8263 - 2.02637i) q^{93} +(-3.69511 + 6.40011i) q^{94} +(-1.40227 + 2.42881i) q^{95} +(-9.58129 - 1.30951i) q^{96} +(9.03460 - 5.21613i) q^{97} -3.24215i q^{98} +(2.15977 - 7.75358i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9} - 8 q^{10} - 36 q^{12} - 4 q^{13} - 8 q^{14} - 64 q^{16} + 36 q^{17} + 24 q^{22} - 22 q^{23} + 54 q^{25} + 40 q^{26} + 48 q^{27} - 16 q^{29} + 20 q^{30} - 40 q^{35} - 76 q^{36} - 12 q^{38} + 26 q^{39} - 52 q^{42} - 6 q^{43} - 68 q^{48} + 58 q^{49} + 34 q^{51} + 22 q^{52} - 116 q^{53} + 24 q^{55} + 40 q^{56} + 18 q^{61} + 152 q^{62} - 216 q^{64} + 2 q^{65} - 72 q^{66} - 134 q^{69} + 32 q^{74} + 40 q^{77} - 34 q^{78} + 18 q^{79} + 34 q^{81} + 88 q^{82} + 60 q^{87} + 8 q^{90} + 16 q^{91} + 176 q^{92} - 76 q^{94} - 56 q^{95}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).

\(n\) \(326\) \(352\) \(496\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(1\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.527033 + 0.304283i −0.372669 + 0.215160i −0.674624 0.738162i \(-0.735694\pi\)
0.301955 + 0.953322i \(0.402361\pi\)
\(3\) −1.60346 + 0.654926i −0.925756 + 0.378122i
\(4\) −0.814824 + 1.41132i −0.407412 + 0.705658i
\(5\) 0.866025 + 0.500000i 0.387298 + 0.223607i
\(6\) 0.645792 0.833072i 0.263644 0.340100i
\(7\) 1.11998 0.646621i 0.423313 0.244400i −0.273181 0.961963i \(-0.588076\pi\)
0.696494 + 0.717563i \(0.254742\pi\)
\(8\) 2.20888i 0.780957i
\(9\) 2.14214 2.10029i 0.714048 0.700097i
\(10\) −0.608566 −0.192445
\(11\) 2.32348 1.34146i 0.700555 0.404466i −0.106999 0.994259i \(-0.534124\pi\)
0.807554 + 0.589793i \(0.200791\pi\)
\(12\) 0.382227 2.79663i 0.110339 0.807319i
\(13\) 2.47611 2.62086i 0.686748 0.726895i
\(14\) −0.393511 + 0.681581i −0.105170 + 0.182160i
\(15\) −1.71610 0.234546i −0.443094 0.0605595i
\(16\) −0.957524 1.65848i −0.239381 0.414620i
\(17\) −1.63642 −0.396889 −0.198445 0.980112i \(-0.563589\pi\)
−0.198445 + 0.980112i \(0.563589\pi\)
\(18\) −0.489899 + 1.75874i −0.115470 + 0.414539i
\(19\) 2.80454i 0.643406i 0.946841 + 0.321703i \(0.104255\pi\)
−0.946841 + 0.321703i \(0.895745\pi\)
\(20\) −1.41132 + 0.814824i −0.315580 + 0.182200i
\(21\) −1.37235 + 1.77033i −0.299472 + 0.386318i
\(22\) −0.816367 + 1.41399i −0.174050 + 0.301463i
\(23\) 4.00047 6.92901i 0.834155 1.44480i −0.0605617 0.998164i \(-0.519289\pi\)
0.894717 0.446634i \(-0.147377\pi\)
\(24\) 1.44665 + 3.54184i 0.295297 + 0.722975i
\(25\) 0.500000 + 0.866025i 0.100000 + 0.173205i
\(26\) −0.507508 + 2.13472i −0.0995306 + 0.418652i
\(27\) −2.05930 + 4.77067i −0.396313 + 0.918116i
\(28\) 2.10753i 0.398286i
\(29\) 1.93551 + 3.35240i 0.359415 + 0.622526i 0.987863 0.155326i \(-0.0496428\pi\)
−0.628448 + 0.777852i \(0.716309\pi\)
\(30\) 0.975808 0.398565i 0.178157 0.0727677i
\(31\) 7.48207 + 4.31977i 1.34382 + 0.775854i 0.987366 0.158459i \(-0.0506524\pi\)
0.356454 + 0.934313i \(0.383986\pi\)
\(32\) 4.83518 + 2.79159i 0.854748 + 0.493489i
\(33\) −2.84704 + 3.67268i −0.495606 + 0.639331i
\(34\) 0.862446 0.497933i 0.147908 0.0853949i
\(35\) 1.29324 0.218598
\(36\) 1.21870 + 4.73461i 0.203117 + 0.789102i
\(37\) 10.1601i 1.67030i 0.550019 + 0.835152i \(0.314620\pi\)
−0.550019 + 0.835152i \(0.685380\pi\)
\(38\) −0.853374 1.47809i −0.138436 0.239777i
\(39\) −2.25386 + 5.82410i −0.360907 + 0.932602i
\(40\) 1.10444 1.91295i 0.174627 0.302463i
\(41\) −7.08878 4.09271i −1.10708 0.639174i −0.169009 0.985614i \(-0.554057\pi\)
−0.938072 + 0.346441i \(0.887390\pi\)
\(42\) 0.184593 1.35061i 0.0284833 0.208403i
\(43\) −6.05745 10.4918i −0.923752 1.59999i −0.793556 0.608498i \(-0.791772\pi\)
−0.130197 0.991488i \(-0.541561\pi\)
\(44\) 4.37222i 0.659137i
\(45\) 2.90530 0.747832i 0.433096 0.111480i
\(46\) 4.86909i 0.717908i
\(47\) 10.5167 6.07183i 1.53402 0.885667i 0.534850 0.844947i \(-0.320368\pi\)
0.999171 0.0407203i \(-0.0129653\pi\)
\(48\) 2.62153 + 2.03219i 0.378385 + 0.293322i
\(49\) −2.66376 + 4.61377i −0.380538 + 0.659110i
\(50\) −0.527033 0.304283i −0.0745338 0.0430321i
\(51\) 2.62392 1.07173i 0.367423 0.150072i
\(52\) 1.68127 + 5.63011i 0.233150 + 0.780755i
\(53\) 3.10426 0.426403 0.213201 0.977008i \(-0.431611\pi\)
0.213201 + 0.977008i \(0.431611\pi\)
\(54\) −0.366312 3.14091i −0.0498488 0.427424i
\(55\) 2.68292 0.361765
\(56\) −1.42831 2.47390i −0.190866 0.330589i
\(57\) −1.83677 4.49696i −0.243286 0.595637i
\(58\) −2.04016 1.17789i −0.267886 0.154664i
\(59\) 8.90917 + 5.14371i 1.15987 + 0.669654i 0.951274 0.308347i \(-0.0997757\pi\)
0.208601 + 0.978001i \(0.433109\pi\)
\(60\) 1.72934 2.23084i 0.223256 0.288001i
\(61\) 2.42579 + 4.20160i 0.310591 + 0.537960i 0.978490 0.206292i \(-0.0661397\pi\)
−0.667899 + 0.744252i \(0.732806\pi\)
\(62\) −5.25773 −0.667733
\(63\) 1.04107 3.73744i 0.131162 0.470873i
\(64\) 0.432360 0.0540450
\(65\) 3.45480 1.03168i 0.428515 0.127964i
\(66\) 0.382951 2.80193i 0.0471380 0.344894i
\(67\) −11.3875 6.57457i −1.39120 0.803212i −0.397755 0.917492i \(-0.630211\pi\)
−0.993449 + 0.114280i \(0.963544\pi\)
\(68\) 1.33339 2.30950i 0.161697 0.280068i
\(69\) −1.87659 + 13.7304i −0.225914 + 1.65294i
\(70\) −0.681581 + 0.393511i −0.0814646 + 0.0470336i
\(71\) 0.938010i 0.111321i −0.998450 0.0556607i \(-0.982274\pi\)
0.998450 0.0556607i \(-0.0177265\pi\)
\(72\) −4.63929 4.73174i −0.546745 0.557641i
\(73\) 14.6411i 1.71362i 0.515636 + 0.856808i \(0.327556\pi\)
−0.515636 + 0.856808i \(0.672444\pi\)
\(74\) −3.09153 5.35469i −0.359383 0.622470i
\(75\) −1.36891 1.06117i −0.158068 0.122533i
\(76\) −3.95810 2.28521i −0.454025 0.262132i
\(77\) 1.73483 3.00482i 0.197703 0.342431i
\(78\) −0.584313 3.75530i −0.0661604 0.425204i
\(79\) 3.27558 + 5.67348i 0.368532 + 0.638316i 0.989336 0.145649i \(-0.0465271\pi\)
−0.620804 + 0.783966i \(0.713194\pi\)
\(80\) 1.91505i 0.214109i
\(81\) 0.177565 8.99825i 0.0197295 0.999805i
\(82\) 4.98136 0.550099
\(83\) 9.19282 5.30748i 1.00904 0.582571i 0.0981318 0.995173i \(-0.468713\pi\)
0.910911 + 0.412602i \(0.135380\pi\)
\(84\) −1.38028 3.37933i −0.150600 0.368715i
\(85\) −1.41718 0.818208i −0.153715 0.0887472i
\(86\) 6.38495 + 3.68635i 0.688507 + 0.397510i
\(87\) −5.29908 4.10782i −0.568121 0.440404i
\(88\) −2.96312 5.13228i −0.315870 0.547103i
\(89\) 10.4458i 1.10725i −0.832766 0.553625i \(-0.813244\pi\)
0.832766 0.553625i \(-0.186756\pi\)
\(90\) −1.30364 + 1.27816i −0.137415 + 0.134730i
\(91\) 1.07849 4.53641i 0.113056 0.475545i
\(92\) 6.51935 + 11.2918i 0.679689 + 1.17726i
\(93\) −14.8263 2.02637i −1.53742 0.210125i
\(94\) −3.69511 + 6.40011i −0.381121 + 0.660121i
\(95\) −1.40227 + 2.42881i −0.143870 + 0.249190i
\(96\) −9.58129 1.30951i −0.977887 0.133652i
\(97\) 9.03460 5.21613i 0.917325 0.529618i 0.0345440 0.999403i \(-0.489002\pi\)
0.882781 + 0.469786i \(0.155669\pi\)
\(98\) 3.24215i 0.327506i
\(99\) 2.15977 7.75358i 0.217065 0.779264i
\(100\) −1.62965 −0.162965
\(101\) −0.634391 1.09880i −0.0631243 0.109334i 0.832736 0.553670i \(-0.186773\pi\)
−0.895860 + 0.444336i \(0.853440\pi\)
\(102\) −1.05678 + 1.36325i −0.104637 + 0.134982i
\(103\) 1.80837 3.13218i 0.178184 0.308623i −0.763075 0.646310i \(-0.776311\pi\)
0.941258 + 0.337687i \(0.109645\pi\)
\(104\) −5.78916 5.46942i −0.567674 0.536321i
\(105\) −2.07366 + 0.846978i −0.202368 + 0.0826565i
\(106\) −1.63605 + 0.944573i −0.158907 + 0.0917450i
\(107\) −20.1809 −1.95096 −0.975481 0.220084i \(-0.929367\pi\)
−0.975481 + 0.220084i \(0.929367\pi\)
\(108\) −5.05496 6.79358i −0.486413 0.653713i
\(109\) 9.06439i 0.868211i 0.900862 + 0.434106i \(0.142936\pi\)
−0.900862 + 0.434106i \(0.857064\pi\)
\(110\) −1.41399 + 0.816367i −0.134819 + 0.0778375i
\(111\) −6.65409 16.2912i −0.631578 1.54629i
\(112\) −2.14482 1.23831i −0.202666 0.117009i
\(113\) 3.03004 5.24818i 0.285042 0.493707i −0.687577 0.726111i \(-0.741326\pi\)
0.972619 + 0.232404i \(0.0746592\pi\)
\(114\) 2.33639 + 1.81115i 0.218823 + 0.169630i
\(115\) 6.92901 4.00047i 0.646134 0.373045i
\(116\) −6.30840 −0.585720
\(117\) −0.200385 10.8148i −0.0185256 0.999828i
\(118\) −6.26057 −0.576332
\(119\) −1.83275 + 1.05814i −0.168008 + 0.0969997i
\(120\) −0.518083 + 3.79065i −0.0472943 + 0.346037i
\(121\) −1.90097 + 3.29257i −0.172815 + 0.299324i
\(122\) −2.55695 1.47625i −0.231495 0.133654i
\(123\) 14.0470 + 1.91985i 1.26657 + 0.173107i
\(124\) −12.1931 + 7.03971i −1.09498 + 0.632185i
\(125\) 1.00000i 0.0894427i
\(126\) 0.588561 + 2.28653i 0.0524332 + 0.203701i
\(127\) 3.95419 0.350878 0.175439 0.984490i \(-0.443866\pi\)
0.175439 + 0.984490i \(0.443866\pi\)
\(128\) −9.89824 + 5.71475i −0.874889 + 0.505117i
\(129\) 16.5842 + 12.8560i 1.46016 + 1.13191i
\(130\) −1.50687 + 1.59496i −0.132162 + 0.139888i
\(131\) −1.48172 + 2.56641i −0.129458 + 0.224228i −0.923467 0.383678i \(-0.874657\pi\)
0.794009 + 0.607906i \(0.207990\pi\)
\(132\) −2.86348 7.01066i −0.249234 0.610200i
\(133\) 1.81348 + 3.14103i 0.157248 + 0.272362i
\(134\) 8.00212 0.691278
\(135\) −4.16874 + 3.10187i −0.358788 + 0.266966i
\(136\) 3.61465i 0.309953i
\(137\) 2.22850 1.28663i 0.190394 0.109924i −0.401773 0.915739i \(-0.631606\pi\)
0.592167 + 0.805815i \(0.298273\pi\)
\(138\) −3.18889 7.80738i −0.271457 0.664608i
\(139\) −1.08452 + 1.87844i −0.0919875 + 0.159327i −0.908347 0.418217i \(-0.862655\pi\)
0.816360 + 0.577544i \(0.195989\pi\)
\(140\) −1.05376 + 1.82517i −0.0890594 + 0.154255i
\(141\) −12.8865 + 16.6236i −1.08524 + 1.39996i
\(142\) 0.285420 + 0.494362i 0.0239519 + 0.0414860i
\(143\) 2.23740 9.41111i 0.187101 0.786996i
\(144\) −5.53445 1.54163i −0.461204 0.128469i
\(145\) 3.87102i 0.321471i
\(146\) −4.45505 7.71637i −0.368702 0.638611i
\(147\) 1.24955 9.14255i 0.103061 0.754065i
\(148\) −14.3391 8.27866i −1.17866 0.680502i
\(149\) 8.74044 + 5.04629i 0.716044 + 0.413408i 0.813295 0.581851i \(-0.197672\pi\)
−0.0972506 + 0.995260i \(0.531005\pi\)
\(150\) 1.04436 + 0.142736i 0.0852714 + 0.0116544i
\(151\) 8.48108 4.89655i 0.690181 0.398476i −0.113499 0.993538i \(-0.536206\pi\)
0.803680 + 0.595062i \(0.202873\pi\)
\(152\) 6.19490 0.502472
\(153\) −3.50544 + 3.43695i −0.283398 + 0.277861i
\(154\) 2.11152i 0.170151i
\(155\) 4.31977 + 7.48207i 0.346973 + 0.600974i
\(156\) −6.38315 7.92653i −0.511061 0.634630i
\(157\) 8.17538 14.1602i 0.652466 1.13010i −0.330056 0.943961i \(-0.607068\pi\)
0.982523 0.186143i \(-0.0595989\pi\)
\(158\) −3.45268 1.99341i −0.274681 0.158587i
\(159\) −4.97755 + 2.03306i −0.394745 + 0.161232i
\(160\) 2.79159 + 4.83518i 0.220695 + 0.382255i
\(161\) 10.3471i 0.815469i
\(162\) 2.64443 + 4.79641i 0.207766 + 0.376841i
\(163\) 2.36973i 0.185612i 0.995684 + 0.0928058i \(0.0295836\pi\)
−0.995684 + 0.0928058i \(0.970416\pi\)
\(164\) 11.5522 6.66967i 0.902076 0.520814i
\(165\) −4.30195 + 1.75711i −0.334906 + 0.136791i
\(166\) −3.22995 + 5.59443i −0.250693 + 0.434212i
\(167\) −1.09870 0.634337i −0.0850203 0.0490865i 0.456887 0.889525i \(-0.348964\pi\)
−0.541907 + 0.840438i \(0.682298\pi\)
\(168\) 3.91045 + 3.03136i 0.301698 + 0.233874i
\(169\) −0.737796 12.9790i −0.0567535 0.998388i
\(170\) 0.995867 0.0763795
\(171\) 5.89035 + 6.00774i 0.450447 + 0.459423i
\(172\) 19.7430 1.50539
\(173\) −4.40726 7.63359i −0.335078 0.580371i 0.648422 0.761281i \(-0.275429\pi\)
−0.983500 + 0.180910i \(0.942096\pi\)
\(174\) 4.04273 + 0.552536i 0.306479 + 0.0418876i
\(175\) 1.11998 + 0.646621i 0.0846626 + 0.0488800i
\(176\) −4.44957 2.56896i −0.335399 0.193643i
\(177\) −17.6542 2.41287i −1.32697 0.181363i
\(178\) 3.17847 + 5.50527i 0.238236 + 0.412638i
\(179\) 16.7507 1.25200 0.626002 0.779822i \(-0.284690\pi\)
0.626002 + 0.779822i \(0.284690\pi\)
\(180\) −1.31188 + 4.70964i −0.0977816 + 0.351036i
\(181\) −2.27780 −0.169308 −0.0846539 0.996410i \(-0.526978\pi\)
−0.0846539 + 0.996410i \(0.526978\pi\)
\(182\) 0.811953 + 2.71901i 0.0601859 + 0.201546i
\(183\) −6.64139 5.14836i −0.490946 0.380578i
\(184\) −15.3053 8.83655i −1.12833 0.651439i
\(185\) −5.08003 + 8.79887i −0.373491 + 0.646906i
\(186\) 8.43054 3.44342i 0.618157 0.252484i
\(187\) −3.80218 + 2.19519i −0.278043 + 0.160528i
\(188\) 19.7899i 1.44333i
\(189\) 0.778438 + 6.67464i 0.0566230 + 0.485509i
\(190\) 1.70675i 0.123821i
\(191\) −2.23864 3.87743i −0.161982 0.280561i 0.773597 0.633677i \(-0.218455\pi\)
−0.935579 + 0.353116i \(0.885122\pi\)
\(192\) −0.693270 + 0.283164i −0.0500325 + 0.0204356i
\(193\) 5.17752 + 2.98924i 0.372686 + 0.215170i 0.674631 0.738155i \(-0.264303\pi\)
−0.301945 + 0.953325i \(0.597636\pi\)
\(194\) −3.17436 + 5.49815i −0.227905 + 0.394744i
\(195\) −4.86395 + 3.91689i −0.348315 + 0.280494i
\(196\) −4.34100 7.51882i −0.310071 0.537059i
\(197\) 14.8976i 1.06141i 0.847556 + 0.530707i \(0.178073\pi\)
−0.847556 + 0.530707i \(0.821927\pi\)
\(198\) 1.22101 + 4.74358i 0.0867735 + 0.337111i
\(199\) −12.0750 −0.855975 −0.427988 0.903785i \(-0.640777\pi\)
−0.427988 + 0.903785i \(0.640777\pi\)
\(200\) 1.91295 1.10444i 0.135266 0.0780957i
\(201\) 22.5652 + 3.08408i 1.59163 + 0.217534i
\(202\) 0.668691 + 0.386069i 0.0470489 + 0.0271637i
\(203\) 4.33547 + 2.50308i 0.304290 + 0.175682i
\(204\) −0.625483 + 4.57646i −0.0437926 + 0.320416i
\(205\) −4.09271 7.08878i −0.285847 0.495102i
\(206\) 2.20102i 0.153352i
\(207\) −5.98335 23.2451i −0.415872 1.61564i
\(208\) −6.71757 1.59704i −0.465780 0.110735i
\(209\) 3.76219 + 6.51630i 0.260236 + 0.450742i
\(210\) 0.835165 1.07736i 0.0576319 0.0743451i
\(211\) 9.04101 15.6595i 0.622408 1.07804i −0.366627 0.930368i \(-0.619488\pi\)
0.989036 0.147675i \(-0.0471790\pi\)
\(212\) −2.52943 + 4.38109i −0.173722 + 0.300895i
\(213\) 0.614327 + 1.50406i 0.0420930 + 0.103056i
\(214\) 10.6360 6.14070i 0.727063 0.419770i
\(215\) 12.1149i 0.826229i
\(216\) 10.5378 + 4.54875i 0.717008 + 0.309503i
\(217\) 11.1730 0.758475
\(218\) −2.75814 4.77723i −0.186805 0.323555i
\(219\) −9.58886 23.4764i −0.647955 1.58639i
\(220\) −2.18611 + 3.78645i −0.147387 + 0.255283i
\(221\) −4.05194 + 4.28882i −0.272563 + 0.288497i
\(222\) 8.46406 + 6.56129i 0.568071 + 0.440365i
\(223\) −7.95118 + 4.59062i −0.532450 + 0.307410i −0.742014 0.670385i \(-0.766129\pi\)
0.209563 + 0.977795i \(0.432796\pi\)
\(224\) 7.22042 0.482434
\(225\) 2.88998 + 0.805007i 0.192665 + 0.0536671i
\(226\) 3.68795i 0.245319i
\(227\) 1.31183 0.757384i 0.0870690 0.0502693i −0.455833 0.890065i \(-0.650659\pi\)
0.542902 + 0.839796i \(0.317325\pi\)
\(228\) 7.84328 + 1.07197i 0.519434 + 0.0709931i
\(229\) 20.9453 + 12.0928i 1.38410 + 0.799112i 0.992642 0.121083i \(-0.0386367\pi\)
0.391460 + 0.920195i \(0.371970\pi\)
\(230\) −2.43455 + 4.21676i −0.160529 + 0.278045i
\(231\) −0.813796 + 5.95428i −0.0535438 + 0.391763i
\(232\) 7.40505 4.27531i 0.486165 0.280688i
\(233\) −13.0557 −0.855308 −0.427654 0.903942i \(-0.640660\pi\)
−0.427654 + 0.903942i \(0.640660\pi\)
\(234\) 3.39637 + 5.63878i 0.222027 + 0.368619i
\(235\) 12.1437 0.792165
\(236\) −14.5188 + 8.38244i −0.945094 + 0.545650i
\(237\) −8.96796 6.95191i −0.582532 0.451575i
\(238\) 0.643948 1.11535i 0.0417410 0.0722975i
\(239\) −17.8534 10.3076i −1.15484 0.666746i −0.204776 0.978809i \(-0.565647\pi\)
−0.950061 + 0.312063i \(0.898980\pi\)
\(240\) 1.25421 + 3.07070i 0.0809592 + 0.198213i
\(241\) 3.58808 2.07158i 0.231129 0.133442i −0.379964 0.925001i \(-0.624064\pi\)
0.611093 + 0.791559i \(0.290730\pi\)
\(242\) 2.31372i 0.148732i
\(243\) 5.60847 + 14.5446i 0.359783 + 0.933036i
\(244\) −7.90638 −0.506154
\(245\) −4.61377 + 2.66376i −0.294763 + 0.170182i
\(246\) −7.98740 + 3.26242i −0.509258 + 0.208004i
\(247\) 7.35031 + 6.94435i 0.467689 + 0.441858i
\(248\) 9.54186 16.5270i 0.605909 1.04946i
\(249\) −11.2643 + 14.5309i −0.713845 + 0.920860i
\(250\) −0.304283 0.527033i −0.0192445 0.0333325i
\(251\) −6.85373 −0.432604 −0.216302 0.976327i \(-0.569400\pi\)
−0.216302 + 0.976327i \(0.569400\pi\)
\(252\) 4.42642 + 4.51463i 0.278838 + 0.284395i
\(253\) 21.4659i 1.34955i
\(254\) −2.08399 + 1.20319i −0.130761 + 0.0754950i
\(255\) 2.80825 + 0.383815i 0.175859 + 0.0240354i
\(256\) 3.04544 5.27486i 0.190340 0.329679i
\(257\) −8.76209 + 15.1764i −0.546564 + 0.946677i 0.451943 + 0.892047i \(0.350731\pi\)
−0.998507 + 0.0546298i \(0.982602\pi\)
\(258\) −12.6523 1.72924i −0.787697 0.107658i
\(259\) 6.56971 + 11.3791i 0.408222 + 0.707061i
\(260\) −1.35903 + 5.71645i −0.0842836 + 0.354519i
\(261\) 11.1872 + 3.11620i 0.692468 + 0.192888i
\(262\) 1.80344i 0.111417i
\(263\) 15.1431 + 26.2285i 0.933761 + 1.61732i 0.776829 + 0.629711i \(0.216827\pi\)
0.156931 + 0.987609i \(0.449840\pi\)
\(264\) 8.11250 + 6.28876i 0.499290 + 0.387047i
\(265\) 2.68837 + 1.55213i 0.165145 + 0.0953466i
\(266\) −1.91152 1.10362i −0.117203 0.0676673i
\(267\) 6.84121 + 16.7494i 0.418675 + 1.02504i
\(268\) 18.5576 10.7142i 1.13359 0.654476i
\(269\) −12.9862 −0.791780 −0.395890 0.918298i \(-0.629564\pi\)
−0.395890 + 0.918298i \(0.629564\pi\)
\(270\) 1.25322 2.90326i 0.0762685 0.176687i
\(271\) 18.8780i 1.14676i −0.819290 0.573380i \(-0.805632\pi\)
0.819290 0.573380i \(-0.194368\pi\)
\(272\) 1.56691 + 2.71397i 0.0950078 + 0.164558i
\(273\) 1.24170 + 7.98027i 0.0751513 + 0.482988i
\(274\) −0.782996 + 1.35619i −0.0473025 + 0.0819304i
\(275\) 2.32348 + 1.34146i 0.140111 + 0.0808931i
\(276\) −17.8488 13.8363i −1.07437 0.832847i
\(277\) 4.81803 + 8.34507i 0.289487 + 0.501407i 0.973687 0.227888i \(-0.0731819\pi\)
−0.684200 + 0.729294i \(0.739849\pi\)
\(278\) 1.32000i 0.0791683i
\(279\) 25.1005 6.46093i 1.50272 0.386806i
\(280\) 2.85661i 0.170715i
\(281\) −1.84340 + 1.06429i −0.109968 + 0.0634900i −0.553975 0.832533i \(-0.686890\pi\)
0.444007 + 0.896023i \(0.353556\pi\)
\(282\) 1.73334 12.6823i 0.103219 0.755221i
\(283\) 3.93032 6.80751i 0.233633 0.404664i −0.725241 0.688495i \(-0.758272\pi\)
0.958875 + 0.283830i \(0.0916052\pi\)
\(284\) 1.32383 + 0.764313i 0.0785548 + 0.0453536i
\(285\) 0.657794 4.81287i 0.0389643 0.285090i
\(286\) 1.68445 + 5.64077i 0.0996038 + 0.333546i
\(287\) −10.5857 −0.624855
\(288\) 16.2208 4.17529i 0.955821 0.246031i
\(289\) −14.3221 −0.842479
\(290\) −1.17789 2.04016i −0.0691678 0.119802i
\(291\) −11.0704 + 14.2808i −0.648959 + 0.837157i
\(292\) −20.6633 11.9299i −1.20923 0.698147i
\(293\) 2.89009 + 1.66859i 0.168841 + 0.0974802i 0.582039 0.813161i \(-0.302255\pi\)
−0.413198 + 0.910641i \(0.635588\pi\)
\(294\) 2.12337 + 5.19864i 0.123837 + 0.303191i
\(295\) 5.14371 + 8.90917i 0.299478 + 0.518712i
\(296\) 22.4423 1.30443
\(297\) 1.61492 + 13.8470i 0.0937074 + 0.803485i
\(298\) −6.14200 −0.355797
\(299\) −8.25438 27.6416i −0.477363 1.59856i
\(300\) 2.61307 1.06730i 0.150866 0.0616205i
\(301\) −13.5684 7.83375i −0.782072 0.451530i
\(302\) −2.97987 + 5.16129i −0.171473 + 0.296999i
\(303\) 1.73685 + 1.34640i 0.0997794 + 0.0773484i
\(304\) 4.65128 2.68542i 0.266769 0.154019i
\(305\) 4.85159i 0.277801i
\(306\) 0.801679 2.87803i 0.0458290 0.164526i
\(307\) 15.8453i 0.904341i 0.891932 + 0.452171i \(0.149350\pi\)
−0.891932 + 0.452171i \(0.850650\pi\)
\(308\) 2.82717 + 4.89680i 0.161093 + 0.279021i
\(309\) −0.848290 + 6.20667i −0.0482575 + 0.353085i
\(310\) −4.55333 2.62887i −0.258612 0.149310i
\(311\) 7.32849 12.6933i 0.415560 0.719772i −0.579927 0.814669i \(-0.696919\pi\)
0.995487 + 0.0948969i \(0.0302521\pi\)
\(312\) 12.8647 + 4.97850i 0.728322 + 0.281852i
\(313\) −9.47920 16.4184i −0.535796 0.928026i −0.999124 0.0418390i \(-0.986678\pi\)
0.463329 0.886187i \(-0.346655\pi\)
\(314\) 9.95051i 0.561540i
\(315\) 2.77031 2.71618i 0.156089 0.153040i
\(316\) −10.6761 −0.600578
\(317\) −16.2497 + 9.38179i −0.912676 + 0.526934i −0.881291 0.472574i \(-0.843325\pi\)
−0.0313849 + 0.999507i \(0.509992\pi\)
\(318\) 2.00471 2.58607i 0.112418 0.145020i
\(319\) 8.99424 + 5.19282i 0.503580 + 0.290742i
\(320\) 0.374435 + 0.216180i 0.0209315 + 0.0120848i
\(321\) 32.3592 13.2170i 1.80611 0.737701i
\(322\) 3.14846 + 5.45329i 0.175457 + 0.303900i
\(323\) 4.58940i 0.255361i
\(324\) 12.5547 + 7.58259i 0.697483 + 0.421255i
\(325\) 3.50778 + 0.833942i 0.194577 + 0.0462588i
\(326\) −0.721068 1.24893i −0.0399363 0.0691716i
\(327\) −5.93650 14.5344i −0.328289 0.803752i
\(328\) −9.04029 + 15.6582i −0.499167 + 0.864582i
\(329\) 7.85234 13.6007i 0.432914 0.749829i
\(330\) 1.73261 2.23507i 0.0953770 0.123036i
\(331\) 0.926344 0.534825i 0.0509165 0.0293966i −0.474326 0.880349i \(-0.657308\pi\)
0.525242 + 0.850953i \(0.323975\pi\)
\(332\) 17.2986i 0.949386i
\(333\) 21.3391 + 21.7643i 1.16937 + 1.19268i
\(334\) 0.772071 0.0422459
\(335\) −6.57457 11.3875i −0.359207 0.622165i
\(336\) 4.25012 + 0.580881i 0.231863 + 0.0316897i
\(337\) −9.21947 + 15.9686i −0.502217 + 0.869865i 0.497780 + 0.867303i \(0.334149\pi\)
−0.999997 + 0.00256156i \(0.999185\pi\)
\(338\) 4.33814 + 6.61589i 0.235964 + 0.359857i
\(339\) −1.42136 + 10.3997i −0.0771979 + 0.564833i
\(340\) 2.30950 1.33339i 0.125250 0.0723133i
\(341\) 23.1792 1.25523
\(342\) −4.93246 1.37394i −0.266717 0.0742944i
\(343\) 15.9425i 0.860813i
\(344\) −23.1751 + 13.3802i −1.24952 + 0.721410i
\(345\) −8.49036 + 10.9526i −0.457106 + 0.589666i
\(346\) 4.64554 + 2.68211i 0.249746 + 0.144191i
\(347\) −4.71025 + 8.15839i −0.252859 + 0.437965i −0.964312 0.264769i \(-0.914704\pi\)
0.711452 + 0.702734i \(0.248038\pi\)
\(348\) 10.1152 4.13154i 0.542234 0.221474i
\(349\) −0.446328 + 0.257688i −0.0238914 + 0.0137937i −0.511898 0.859046i \(-0.671057\pi\)
0.488007 + 0.872840i \(0.337724\pi\)
\(350\) −0.787022 −0.0420681
\(351\) 7.40420 + 17.2098i 0.395207 + 0.918592i
\(352\) 14.9793 0.798397
\(353\) −20.3083 + 11.7250i −1.08090 + 0.624059i −0.931139 0.364663i \(-0.881184\pi\)
−0.149762 + 0.988722i \(0.547851\pi\)
\(354\) 10.0386 4.10021i 0.533543 0.217924i
\(355\) 0.469005 0.812340i 0.0248922 0.0431146i
\(356\) 14.7423 + 8.51147i 0.781341 + 0.451107i
\(357\) 2.24574 2.89700i 0.118857 0.153326i
\(358\) −8.82815 + 5.09694i −0.466582 + 0.269381i
\(359\) 7.56895i 0.399474i −0.979850 0.199737i \(-0.935991\pi\)
0.979850 0.199737i \(-0.0640088\pi\)
\(360\) −1.65187 6.41745i −0.0870612 0.338229i
\(361\) 11.1345 0.586028
\(362\) 1.20048 0.693096i 0.0630957 0.0364283i
\(363\) 0.891727 6.52448i 0.0468035 0.342446i
\(364\) 5.52353 + 5.21847i 0.289512 + 0.273522i
\(365\) −7.32057 + 12.6796i −0.383176 + 0.663680i
\(366\) 5.06679 + 0.692499i 0.264845 + 0.0361975i
\(367\) −8.64699 14.9770i −0.451369 0.781794i 0.547102 0.837066i \(-0.315731\pi\)
−0.998471 + 0.0552716i \(0.982398\pi\)
\(368\) −15.3222 −0.798724
\(369\) −23.7811 + 6.12132i −1.23799 + 0.318663i
\(370\) 6.18306i 0.321442i
\(371\) 3.47671 2.00728i 0.180502 0.104213i
\(372\) 14.9407 19.2735i 0.774638 0.999283i
\(373\) −12.5175 + 21.6809i −0.648131 + 1.12260i 0.335438 + 0.942062i \(0.391116\pi\)
−0.983569 + 0.180533i \(0.942218\pi\)
\(374\) 1.33592 2.31387i 0.0690786 0.119648i
\(375\) −0.654926 1.60346i −0.0338202 0.0828021i
\(376\) −13.4119 23.2302i −0.691668 1.19800i
\(377\) 13.5787 + 3.22821i 0.699339 + 0.166261i
\(378\) −2.44124 3.28089i −0.125564 0.168751i
\(379\) 0.454028i 0.0233219i 0.999932 + 0.0116609i \(0.00371187\pi\)
−0.999932 + 0.0116609i \(0.996288\pi\)
\(380\) −2.28521 3.95810i −0.117229 0.203046i
\(381\) −6.34038 + 2.58970i −0.324827 + 0.132675i
\(382\) 2.35967 + 1.36236i 0.120731 + 0.0697042i
\(383\) −1.53416 0.885745i −0.0783917 0.0452595i 0.460292 0.887768i \(-0.347745\pi\)
−0.538683 + 0.842508i \(0.681078\pi\)
\(384\) 12.1287 15.6460i 0.618938 0.798430i
\(385\) 3.00482 1.73483i 0.153140 0.0884153i
\(386\) −3.63830 −0.185184
\(387\) −35.0118 9.75257i −1.77975 0.495751i
\(388\) 17.0009i 0.863090i
\(389\) 2.51275 + 4.35221i 0.127401 + 0.220666i 0.922669 0.385593i \(-0.126003\pi\)
−0.795268 + 0.606258i \(0.792670\pi\)
\(390\) 1.37162 3.54435i 0.0694548 0.179475i
\(391\) −6.54643 + 11.3387i −0.331067 + 0.573425i
\(392\) 10.1913 + 5.88393i 0.514737 + 0.297183i
\(393\) 0.695060 5.08553i 0.0350612 0.256531i
\(394\) −4.53310 7.85155i −0.228374 0.395556i
\(395\) 6.55117i 0.329625i
\(396\) 9.18292 + 9.36592i 0.461459 + 0.470655i
\(397\) 16.9342i 0.849901i −0.905217 0.424951i \(-0.860291\pi\)
0.905217 0.424951i \(-0.139709\pi\)
\(398\) 6.36394 3.67422i 0.318995 0.184172i
\(399\) −4.96497 3.84882i −0.248560 0.192682i
\(400\) 0.957524 1.65848i 0.0478762 0.0829240i
\(401\) −31.3441 18.0965i −1.56525 0.903698i −0.996711 0.0810430i \(-0.974175\pi\)
−0.568541 0.822655i \(-0.692492\pi\)
\(402\) −12.8310 + 5.24079i −0.639954 + 0.261387i
\(403\) 29.8479 8.91322i 1.48683 0.443999i
\(404\) 2.06767 0.102870
\(405\) 4.65290 7.70393i 0.231204 0.382811i
\(406\) −3.04658 −0.151199
\(407\) 13.6293 + 23.6067i 0.675581 + 1.17014i
\(408\) −2.36732 5.79593i −0.117200 0.286941i
\(409\) −29.1173 16.8109i −1.43976 0.831246i −0.441927 0.897051i \(-0.645705\pi\)
−0.997832 + 0.0658052i \(0.979038\pi\)
\(410\) 4.31399 + 2.49068i 0.213053 + 0.123006i
\(411\) −2.73066 + 3.52255i −0.134693 + 0.173755i
\(412\) 2.94700 + 5.10436i 0.145188 + 0.251474i
\(413\) 13.3041 0.654653
\(414\) 10.2265 + 10.4303i 0.502605 + 0.512621i
\(415\) 10.6150 0.521068
\(416\) 19.2888 5.76005i 0.945711 0.282410i
\(417\) 0.508738 3.72227i 0.0249130 0.182280i
\(418\) −3.96559 2.28954i −0.193964 0.111985i
\(419\) 17.6186 30.5163i 0.860725 1.49082i −0.0105051 0.999945i \(-0.503344\pi\)
0.871230 0.490875i \(-0.163323\pi\)
\(420\) 0.494312 3.61672i 0.0241200 0.176478i
\(421\) −3.25429 + 1.87887i −0.158605 + 0.0915704i −0.577202 0.816602i \(-0.695855\pi\)
0.418597 + 0.908172i \(0.362522\pi\)
\(422\) 11.0041i 0.535671i
\(423\) 9.77572 35.0949i 0.475312 1.70637i
\(424\) 6.85693i 0.333002i
\(425\) −0.818208 1.41718i −0.0396889 0.0687432i
\(426\) −0.781430 0.605759i −0.0378604 0.0293491i
\(427\) 5.43368 + 3.13714i 0.262954 + 0.151817i
\(428\) 16.4439 28.4816i 0.794845 1.37671i
\(429\) 2.57600 + 16.5556i 0.124371 + 0.799313i
\(430\) 3.68635 + 6.38495i 0.177772 + 0.307910i
\(431\) 17.6971i 0.852439i 0.904620 + 0.426220i \(0.140155\pi\)
−0.904620 + 0.426220i \(0.859845\pi\)
\(432\) 9.88389 1.15272i 0.475539 0.0554603i
\(433\) −4.88751 −0.234879 −0.117439 0.993080i \(-0.537469\pi\)
−0.117439 + 0.993080i \(0.537469\pi\)
\(434\) −5.88856 + 3.39976i −0.282660 + 0.163194i
\(435\) −2.53523 6.20701i −0.121555 0.297604i
\(436\) −12.7927 7.38588i −0.612660 0.353720i
\(437\) 19.4327 + 11.2195i 0.929593 + 0.536701i
\(438\) 12.1971 + 9.45513i 0.582801 + 0.451784i
\(439\) −5.70710 9.88498i −0.272385 0.471785i 0.697087 0.716986i \(-0.254479\pi\)
−0.969472 + 0.245202i \(0.921146\pi\)
\(440\) 5.92625i 0.282523i
\(441\) 3.98409 + 15.4780i 0.189719 + 0.737050i
\(442\) 0.830495 3.49328i 0.0395026 0.166159i
\(443\) −5.83655 10.1092i −0.277303 0.480303i 0.693411 0.720543i \(-0.256107\pi\)
−0.970714 + 0.240240i \(0.922774\pi\)
\(444\) 28.4140 + 3.88345i 1.34847 + 0.184300i
\(445\) 5.22289 9.04631i 0.247589 0.428836i
\(446\) 2.79369 4.83881i 0.132285 0.229124i
\(447\) −17.3199 2.36717i −0.819201 0.111963i
\(448\) 0.484235 0.279573i 0.0228779 0.0132086i
\(449\) 6.01106i 0.283679i 0.989890 + 0.141840i \(0.0453017\pi\)
−0.989890 + 0.141840i \(0.954698\pi\)
\(450\) −1.76806 + 0.455105i −0.0833473 + 0.0214538i
\(451\) −21.9608 −1.03409
\(452\) 4.93789 + 8.55268i 0.232259 + 0.402284i
\(453\) −10.3922 + 13.4059i −0.488266 + 0.629864i
\(454\) −0.460918 + 0.798333i −0.0216319 + 0.0374676i
\(455\) 3.20220 3.38940i 0.150122 0.158898i
\(456\) −9.93325 + 4.05720i −0.465167 + 0.189996i
\(457\) −23.0370 + 13.3004i −1.07762 + 0.622167i −0.930255 0.366914i \(-0.880414\pi\)
−0.147370 + 0.989081i \(0.547081\pi\)
\(458\) −14.7185 −0.687749
\(459\) 3.36987 7.80680i 0.157292 0.364390i
\(460\) 13.0387i 0.607933i
\(461\) −3.75595 + 2.16850i −0.174932 + 0.100997i −0.584909 0.811099i \(-0.698870\pi\)
0.409977 + 0.912096i \(0.365537\pi\)
\(462\) −1.38289 3.38573i −0.0643378 0.157518i
\(463\) −30.3881 17.5446i −1.41225 0.815365i −0.416654 0.909065i \(-0.636797\pi\)
−0.995600 + 0.0937000i \(0.970131\pi\)
\(464\) 3.70660 6.42001i 0.172074 0.298042i
\(465\) −11.8268 9.16804i −0.548453 0.425158i
\(466\) 6.88080 3.97263i 0.318747 0.184028i
\(467\) −37.7211 −1.74552 −0.872762 0.488146i \(-0.837674\pi\)
−0.872762 + 0.488146i \(0.837674\pi\)
\(468\) 15.4264 + 8.52935i 0.713085 + 0.394269i
\(469\) −17.0050 −0.785219
\(470\) −6.40011 + 3.69511i −0.295215 + 0.170443i
\(471\) −3.83500 + 28.0595i −0.176708 + 1.29291i
\(472\) 11.3618 19.6793i 0.522971 0.905812i
\(473\) −28.1487 16.2517i −1.29428 0.747252i
\(474\) 6.84176 + 0.935091i 0.314253 + 0.0429501i
\(475\) −2.42881 + 1.40227i −0.111441 + 0.0643406i
\(476\) 3.44880i 0.158075i
\(477\) 6.64977 6.51985i 0.304472 0.298523i
\(478\) 12.5458 0.573829
\(479\) 3.88761 2.24452i 0.177630 0.102555i −0.408549 0.912736i \(-0.633965\pi\)
0.586179 + 0.810182i \(0.300632\pi\)
\(480\) −7.64289 5.92472i −0.348848 0.270425i
\(481\) 26.6281 + 25.1574i 1.21414 + 1.14708i
\(482\) −1.26069 + 2.18358i −0.0574230 + 0.0994595i
\(483\) 6.77661 + 16.5912i 0.308346 + 0.754925i
\(484\) −3.09790 5.36573i −0.140814 0.243897i
\(485\) 10.4323 0.473704
\(486\) −7.38152 5.95892i −0.334832 0.270302i
\(487\) 20.7990i 0.942493i −0.882001 0.471247i \(-0.843804\pi\)
0.882001 0.471247i \(-0.156196\pi\)
\(488\) 9.28082 5.35828i 0.420123 0.242558i
\(489\) −1.55200 3.79976i −0.0701838 0.171831i
\(490\) 1.62107 2.80778i 0.0732327 0.126843i
\(491\) −15.3335 + 26.5583i −0.691990 + 1.19856i 0.279195 + 0.960234i \(0.409932\pi\)
−0.971185 + 0.238327i \(0.923401\pi\)
\(492\) −14.1553 + 18.2604i −0.638171 + 0.823241i
\(493\) −3.16730 5.48593i −0.142648 0.247074i
\(494\) −5.98690 1.42333i −0.269364 0.0640386i
\(495\) 5.74721 5.63491i 0.258318 0.253271i
\(496\) 16.5452i 0.742899i
\(497\) −0.606537 1.05055i −0.0272069 0.0471237i
\(498\) 1.51514 11.0858i 0.0678951 0.496767i
\(499\) −8.32775 4.80803i −0.372801 0.215237i 0.301880 0.953346i \(-0.402386\pi\)
−0.674682 + 0.738109i \(0.735719\pi\)
\(500\) −1.41132 0.814824i −0.0631160 0.0364400i
\(501\) 2.17717 + 0.297562i 0.0972687 + 0.0132941i
\(502\) 3.61214 2.08547i 0.161218 0.0930792i
\(503\) 11.4885 0.512249 0.256125 0.966644i \(-0.417554\pi\)
0.256125 + 0.966644i \(0.417554\pi\)
\(504\) −8.25555 2.29959i −0.367731 0.102432i
\(505\) 1.26878i 0.0564601i
\(506\) 6.53170 + 11.3132i 0.290369 + 0.502934i
\(507\) 9.68334 + 20.3281i 0.430052 + 0.902804i
\(508\) −3.22197 + 5.58062i −0.142952 + 0.247600i
\(509\) −23.5359 13.5885i −1.04321 0.602299i −0.122471 0.992472i \(-0.539082\pi\)
−0.920742 + 0.390173i \(0.872415\pi\)
\(510\) −1.59683 + 0.652219i −0.0707088 + 0.0288807i
\(511\) 9.46727 + 16.3978i 0.418807 + 0.725395i
\(512\) 19.1523i 0.846420i
\(513\) −13.3795 5.77540i −0.590722 0.254990i
\(514\) 10.6646i 0.470396i
\(515\) 3.13218 1.80837i 0.138021 0.0796862i
\(516\) −31.6571 + 12.9302i −1.39362 + 0.569221i
\(517\) 16.2902 28.2155i 0.716444 1.24092i
\(518\) −6.92491 3.99810i −0.304263 0.175666i
\(519\) 12.0663 + 9.35371i 0.529651 + 0.410582i
\(520\) −2.27885 7.63123i −0.0999341 0.334652i
\(521\) 18.6966 0.819114 0.409557 0.912284i \(-0.365683\pi\)
0.409557 + 0.912284i \(0.365683\pi\)
\(522\) −6.84421 + 1.76172i −0.299563 + 0.0771084i
\(523\) 23.4184 1.02401 0.512007 0.858981i \(-0.328902\pi\)
0.512007 + 0.858981i \(0.328902\pi\)
\(524\) −2.41467 4.18234i −0.105486 0.182706i
\(525\) −2.21933 0.303324i −0.0968594 0.0132382i
\(526\) −15.9618 9.21554i −0.695967 0.401817i
\(527\) −12.2438 7.06895i −0.533348 0.307928i
\(528\) 8.81718 + 1.20508i 0.383718 + 0.0524443i
\(529\) −20.5075 35.5200i −0.891629 1.54435i
\(530\) −1.88915 −0.0820593
\(531\) 29.8880 7.69326i 1.29703 0.333859i
\(532\) −5.91066 −0.256260
\(533\) −28.2790 + 8.44470i −1.22490 + 0.365781i
\(534\) −8.70209 6.74580i −0.376576 0.291919i
\(535\) −17.4772 10.0905i −0.755604 0.436248i
\(536\) −14.5224 + 25.1536i −0.627274 + 1.08647i
\(537\) −26.8590 + 10.9704i −1.15905 + 0.473409i
\(538\) 6.84413 3.95146i 0.295072 0.170360i
\(539\) 14.2933i 0.615657i
\(540\) −0.980930 8.41089i −0.0422125 0.361947i
\(541\) 26.8018i 1.15230i 0.817344 + 0.576151i \(0.195446\pi\)
−0.817344 + 0.576151i \(0.804554\pi\)
\(542\) 5.74426 + 9.94935i 0.246737 + 0.427361i
\(543\) 3.65236 1.49179i 0.156738 0.0640189i
\(544\) −7.91238 4.56821i −0.339240 0.195860i
\(545\) −4.53219 + 7.84999i −0.194138 + 0.336257i
\(546\) −3.08268 3.82804i −0.131926 0.163825i
\(547\) 17.4524 + 30.2284i 0.746209 + 1.29247i 0.949628 + 0.313380i \(0.101461\pi\)
−0.203418 + 0.979092i \(0.565205\pi\)
\(548\) 4.19349i 0.179137i
\(549\) 14.0210 + 3.90556i 0.598401 + 0.166685i
\(550\) −1.63273 −0.0696200
\(551\) −9.40196 + 5.42822i −0.400537 + 0.231250i
\(552\) 30.3287 + 4.14515i 1.29088 + 0.176429i
\(553\) 7.33718 + 4.23612i 0.312009 + 0.180138i
\(554\) −5.07852 2.93209i −0.215766 0.124572i
\(555\) 2.38300 17.4356i 0.101153 0.740102i
\(556\) −1.76738 3.06119i −0.0749536 0.129823i
\(557\) 28.6771i 1.21509i −0.794287 0.607543i \(-0.792155\pi\)
0.794287 0.607543i \(-0.207845\pi\)
\(558\) −11.2628 + 11.0428i −0.476793 + 0.467477i
\(559\) −42.4964 10.1031i −1.79741 0.427316i
\(560\) −1.23831 2.14482i −0.0523282 0.0906350i
\(561\) 4.65894 6.01003i 0.196701 0.253744i
\(562\) 0.647688 1.12183i 0.0273211 0.0473215i
\(563\) −17.9053 + 31.0129i −0.754618 + 1.30704i 0.190946 + 0.981600i \(0.438844\pi\)
−0.945564 + 0.325436i \(0.894489\pi\)
\(564\) −12.9609 31.7322i −0.545753 1.33617i
\(565\) 5.24818 3.03004i 0.220792 0.127475i
\(566\) 4.78371i 0.201074i
\(567\) −5.61959 10.1927i −0.236000 0.428052i
\(568\) −2.07195 −0.0869371
\(569\) −3.53605 6.12462i −0.148239 0.256757i 0.782338 0.622854i \(-0.214027\pi\)
−0.930577 + 0.366097i \(0.880694\pi\)
\(570\) 1.11779 + 2.73670i 0.0468192 + 0.114628i
\(571\) −2.13580 + 3.69932i −0.0893806 + 0.154812i −0.907249 0.420593i \(-0.861822\pi\)
0.817869 + 0.575405i \(0.195155\pi\)
\(572\) 11.4590 + 10.8261i 0.479123 + 0.452661i
\(573\) 6.12899 + 4.75115i 0.256042 + 0.198482i
\(574\) 5.57903 3.22105i 0.232864 0.134444i
\(575\) 8.00093 0.333662
\(576\) 0.926177 0.908081i 0.0385907 0.0378367i
\(577\) 33.2474i 1.38411i −0.721847 0.692053i \(-0.756707\pi\)
0.721847 0.692053i \(-0.243293\pi\)
\(578\) 7.54824 4.35798i 0.313966 0.181268i
\(579\) −10.2597 1.40223i −0.426377 0.0582746i
\(580\) −5.46324 3.15420i −0.226849 0.130971i
\(581\) 6.86385 11.8885i 0.284761 0.493220i
\(582\) 1.48906 10.8950i 0.0617237 0.451612i
\(583\) 7.21268 4.16424i 0.298719 0.172465i
\(584\) 32.3405 1.33826
\(585\) 5.23386 9.46608i 0.216394 0.391374i
\(586\) −2.03089 −0.0838955
\(587\) −4.96357 + 2.86572i −0.204869 + 0.118281i −0.598924 0.800806i \(-0.704405\pi\)
0.394056 + 0.919087i \(0.371072\pi\)
\(588\) 11.8849 + 9.21308i 0.490124 + 0.379941i
\(589\) −12.1150 + 20.9838i −0.499190 + 0.864622i
\(590\) −5.42181 3.13028i −0.223212 0.128872i
\(591\) −9.75685 23.8877i −0.401343 0.982610i
\(592\) 16.8503 9.72851i 0.692542 0.399839i
\(593\) 13.9269i 0.571909i −0.958243 0.285954i \(-0.907689\pi\)
0.958243 0.285954i \(-0.0923106\pi\)
\(594\) −5.06453 6.80644i −0.207800 0.279272i
\(595\) −2.11628 −0.0867591
\(596\) −14.2438 + 8.22368i −0.583450 + 0.336855i
\(597\) 19.3618 7.90824i 0.792424 0.323663i
\(598\) 12.7612 + 12.0564i 0.521844 + 0.493022i
\(599\) 8.32840 14.4252i 0.340289 0.589398i −0.644197 0.764859i \(-0.722808\pi\)
0.984486 + 0.175461i \(0.0561417\pi\)
\(600\) −2.34400 + 3.02376i −0.0956933 + 0.123444i
\(601\) 2.26464 + 3.92248i 0.0923768 + 0.160001i 0.908511 0.417861i \(-0.137220\pi\)
−0.816134 + 0.577863i \(0.803887\pi\)
\(602\) 9.53470 0.388605
\(603\) −38.2022 + 9.83335i −1.55571 + 0.400445i
\(604\) 15.9593i 0.649376i
\(605\) −3.29257 + 1.90097i −0.133862 + 0.0772852i
\(606\) −1.32506 0.181102i −0.0538270 0.00735675i
\(607\) −0.994895 + 1.72321i −0.0403815 + 0.0699429i −0.885510 0.464621i \(-0.846191\pi\)
0.845128 + 0.534564i \(0.179524\pi\)
\(608\) −7.82915 + 13.5605i −0.317514 + 0.549950i
\(609\) −8.59107 1.17418i −0.348128 0.0475800i
\(610\) −1.47625 2.55695i −0.0597718 0.103528i
\(611\) 10.1271 42.5973i 0.409699 1.72330i
\(612\) −1.99431 7.74780i −0.0806150 0.313186i
\(613\) 10.7003i 0.432180i −0.976373 0.216090i \(-0.930670\pi\)
0.976373 0.216090i \(-0.0693305\pi\)
\(614\) −4.82146 8.35102i −0.194578 0.337020i
\(615\) 11.2051 + 8.68613i 0.451833 + 0.350258i
\(616\) −6.63728 3.83204i −0.267424 0.154397i
\(617\) −22.5316 13.0086i −0.907087 0.523707i −0.0275944 0.999619i \(-0.508785\pi\)
−0.879493 + 0.475912i \(0.842118\pi\)
\(618\) −1.44151 3.52924i −0.0579858 0.141967i
\(619\) −5.02248 + 2.89973i −0.201871 + 0.116550i −0.597528 0.801848i \(-0.703850\pi\)
0.395657 + 0.918398i \(0.370517\pi\)
\(620\) −14.0794 −0.565443
\(621\) 24.8179 + 33.3538i 0.995906 + 1.33844i
\(622\) 8.91973i 0.357649i
\(623\) −6.75446 11.6991i −0.270612 0.468713i
\(624\) 11.8173 1.83873i 0.473070 0.0736081i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) 9.99170 + 5.76871i 0.399349 + 0.230564i
\(627\) −10.3002 7.98464i −0.411350 0.318876i
\(628\) 13.3230 + 23.0761i 0.531645 + 0.920836i
\(629\) 16.6261i 0.662926i
\(630\) −0.633558 + 2.27448i −0.0252416 + 0.0906173i
\(631\) 14.5417i 0.578895i −0.957194 0.289447i \(-0.906529\pi\)
0.957194 0.289447i \(-0.0934715\pi\)
\(632\) 12.5320 7.23537i 0.498497 0.287808i
\(633\) −4.24106 + 31.0305i −0.168567 + 1.23335i
\(634\) 5.70943 9.88903i 0.226751 0.392744i
\(635\) 3.42443 + 1.97710i 0.135894 + 0.0784587i
\(636\) 1.18653 8.68148i 0.0470491 0.344243i
\(637\) 5.49628 + 18.4055i 0.217771 + 0.729254i
\(638\) −6.32035 −0.250225
\(639\) −1.97009 2.00935i −0.0779357 0.0794888i
\(640\) −11.4295 −0.451791
\(641\) −19.9422 34.5410i −0.787671 1.36429i −0.927390 0.374095i \(-0.877953\pi\)
0.139720 0.990191i \(-0.455380\pi\)
\(642\) −13.0327 + 16.8121i −0.514359 + 0.663522i
\(643\) −8.77952 5.06886i −0.346231 0.199896i 0.316793 0.948495i \(-0.397394\pi\)
−0.663024 + 0.748598i \(0.730727\pi\)
\(644\) 14.6031 + 8.43110i 0.575442 + 0.332232i
\(645\) 7.93436 + 19.4257i 0.312415 + 0.764887i
\(646\) 1.39648 + 2.41877i 0.0549436 + 0.0951651i
\(647\) −31.1854 −1.22602 −0.613012 0.790074i \(-0.710042\pi\)
−0.613012 + 0.790074i \(0.710042\pi\)
\(648\) −19.8760 0.392220i −0.780805 0.0154079i
\(649\) 27.6003 1.08341
\(650\) −2.10247 + 0.627843i −0.0824657 + 0.0246260i
\(651\) −17.9155 + 7.31750i −0.702162 + 0.286796i
\(652\) −3.34444 1.93091i −0.130978 0.0756204i
\(653\) −1.81951 + 3.15149i −0.0712031 + 0.123327i −0.899429 0.437067i \(-0.856017\pi\)
0.828226 + 0.560395i \(0.189351\pi\)
\(654\) 7.55129 + 5.85371i 0.295279 + 0.228898i
\(655\) −2.56641 + 1.48172i −0.100278 + 0.0578954i
\(656\) 15.6755i 0.612024i
\(657\) 30.7506 + 31.3634i 1.19970 + 1.22360i
\(658\) 9.55733i 0.372584i
\(659\) −7.33832 12.7103i −0.285860 0.495125i 0.686957 0.726698i \(-0.258946\pi\)
−0.972817 + 0.231573i \(0.925613\pi\)
\(660\) 1.02549 7.50315i 0.0399170 0.292060i
\(661\) 20.3379 + 11.7421i 0.791052 + 0.456714i 0.840333 0.542071i \(-0.182359\pi\)
−0.0492805 + 0.998785i \(0.515693\pi\)
\(662\) −0.325476 + 0.563741i −0.0126500 + 0.0219104i
\(663\) 3.68826 9.53065i 0.143240 0.370140i
\(664\) −11.7236 20.3058i −0.454963 0.788019i
\(665\) 3.62695i 0.140647i
\(666\) −17.8689 4.97741i −0.692406 0.192871i
\(667\) 30.9718 1.19923
\(668\) 1.79050 1.03375i 0.0692765 0.0399968i
\(669\) 9.74286 12.5683i 0.376681 0.485918i
\(670\) 6.93004 + 4.00106i 0.267731 + 0.154574i
\(671\) 11.2726 + 6.50822i 0.435172 + 0.251247i
\(672\) −11.5776 + 4.72884i −0.446616 + 0.182419i
\(673\) 5.72069 + 9.90852i 0.220516 + 0.381945i 0.954965 0.296719i \(-0.0958924\pi\)
−0.734449 + 0.678664i \(0.762559\pi\)
\(674\) 11.2213i 0.432229i
\(675\) −5.16117 + 0.601927i −0.198654 + 0.0231682i
\(676\) 18.9187 + 9.53438i 0.727643 + 0.366707i
\(677\) 14.1714 + 24.5456i 0.544652 + 0.943365i 0.998629 + 0.0523515i \(0.0166716\pi\)
−0.453977 + 0.891014i \(0.649995\pi\)
\(678\) −2.41533 5.91347i −0.0927604 0.227105i
\(679\) 6.74572 11.6839i 0.258877 0.448388i
\(680\) −1.80732 + 3.13038i −0.0693077 + 0.120044i
\(681\) −1.60743 + 2.07358i −0.0615968 + 0.0794598i
\(682\) −12.2162 + 7.05304i −0.467783 + 0.270075i
\(683\) 20.4346i 0.781907i 0.920410 + 0.390954i \(0.127855\pi\)
−0.920410 + 0.390954i \(0.872145\pi\)
\(684\) −13.2784 + 3.41791i −0.507713 + 0.130687i
\(685\) 2.57325 0.0983189
\(686\) −4.85102 8.40221i −0.185213 0.320798i
\(687\) −41.5047 5.67261i −1.58350 0.216424i
\(688\) −11.6003 + 20.0923i −0.442258 + 0.766013i
\(689\) 7.68648 8.13583i 0.292832 0.309950i
\(690\) 1.14203 8.35583i 0.0434762 0.318101i
\(691\) −20.9192 + 12.0777i −0.795805 + 0.459458i −0.842002 0.539474i \(-0.818623\pi\)
0.0461969 + 0.998932i \(0.485290\pi\)
\(692\) 14.3646 0.546059
\(693\) −2.59473 10.0804i −0.0985656 0.382923i
\(694\) 5.73299i 0.217621i
\(695\) −1.87844 + 1.08452i −0.0712532 + 0.0411381i
\(696\) −9.07367 + 11.7050i −0.343936 + 0.443678i
\(697\) 11.6002 + 6.69737i 0.439389 + 0.253681i
\(698\) 0.156820 0.271620i 0.00593572 0.0102810i
\(699\) 20.9343 8.55052i 0.791807 0.323411i
\(700\) −1.82517 + 1.05376i −0.0689851 + 0.0398286i
\(701\) 20.0185 0.756090 0.378045 0.925787i \(-0.376596\pi\)
0.378045 + 0.925787i \(0.376596\pi\)
\(702\) −9.13891 6.81718i −0.344926 0.257298i
\(703\) −28.4943 −1.07468
\(704\) 1.00458 0.579994i 0.0378615 0.0218593i
\(705\) −19.4718 + 7.95319i −0.733351 + 0.299535i
\(706\) 7.13543 12.3589i 0.268545 0.465134i
\(707\) −1.42101 0.820422i −0.0534426 0.0308551i
\(708\) 17.7904 22.9496i 0.668604 0.862499i
\(709\) −22.1079 + 12.7640i −0.830278 + 0.479361i −0.853948 0.520358i \(-0.825798\pi\)
0.0236696 + 0.999720i \(0.492465\pi\)
\(710\) 0.570841i 0.0214233i
\(711\) 18.9327 + 5.27373i 0.710033 + 0.197780i
\(712\) −23.0735 −0.864715
\(713\) 59.8635 34.5622i 2.24191 1.29437i
\(714\) −0.302071 + 2.21016i −0.0113047 + 0.0827130i
\(715\) 6.64320 7.03156i 0.248442 0.262965i
\(716\) −13.6488 + 23.6405i −0.510081 + 0.883486i
\(717\) 35.3778 + 4.83523i 1.32121 + 0.180575i
\(718\) 2.30310 + 3.98909i 0.0859510 + 0.148871i
\(719\) 2.74377 0.102325 0.0511627 0.998690i \(-0.483707\pi\)
0.0511627 + 0.998690i \(0.483707\pi\)
\(720\) −4.02216 4.10231i −0.149897 0.152884i
\(721\) 4.67731i 0.174192i
\(722\) −5.86827 + 3.38805i −0.218394 + 0.126090i
\(723\) −4.39660 + 5.67162i −0.163511 + 0.210930i
\(724\) 1.85601 3.21470i 0.0689780 0.119473i
\(725\) −1.93551 + 3.35240i −0.0718831 + 0.124505i
\(726\) 1.51532 + 3.70996i 0.0562387 + 0.137689i
\(727\) −1.29832 2.24876i −0.0481522 0.0834020i 0.840945 0.541121i \(-0.182000\pi\)
−0.889097 + 0.457719i \(0.848667\pi\)
\(728\) −10.0204 2.38225i −0.371380 0.0882921i
\(729\) −18.5186 19.6485i −0.685873 0.727722i
\(730\) 8.91009i 0.329777i
\(731\) 9.91251 + 17.1690i 0.366627 + 0.635017i
\(732\) 12.6775 5.17809i 0.468575 0.191388i
\(733\) 32.2331 + 18.6098i 1.19056 + 0.687368i 0.958433 0.285318i \(-0.0920992\pi\)
0.232124 + 0.972686i \(0.425433\pi\)
\(734\) 9.11450 + 5.26226i 0.336422 + 0.194234i
\(735\) 5.65342 7.29291i 0.208529 0.269003i
\(736\) 38.6860 22.3354i 1.42598 0.823292i
\(737\) −35.2781 −1.29949
\(738\) 10.6708 10.4623i 0.392797 0.385123i
\(739\) 48.8971i 1.79871i 0.437222 + 0.899354i \(0.355962\pi\)
−0.437222 + 0.899354i \(0.644038\pi\)
\(740\) −8.27866 14.3391i −0.304330 0.527114i
\(741\) −16.3339 6.32105i −0.600042 0.232210i
\(742\) −1.22156 + 2.11581i −0.0448449 + 0.0776737i
\(743\) 32.8343 + 18.9569i 1.20457 + 0.695461i 0.961569 0.274564i \(-0.0885334\pi\)
0.243005 + 0.970025i \(0.421867\pi\)
\(744\) −4.47601 + 32.7495i −0.164098 + 1.20066i
\(745\) 5.04629 + 8.74044i 0.184882 + 0.320225i
\(746\) 15.2354i 0.557808i
\(747\) 8.54511 30.6770i 0.312649 1.12241i
\(748\) 7.15477i 0.261604i
\(749\) −22.6022 + 13.0494i −0.825867 + 0.476815i
\(750\) 0.833072 + 0.645792i 0.0304195 + 0.0235810i
\(751\) −23.5341 + 40.7622i −0.858770 + 1.48743i 0.0143334 + 0.999897i \(0.495437\pi\)
−0.873103 + 0.487536i \(0.837896\pi\)
\(752\) −20.1400 11.6278i −0.734431 0.424024i
\(753\) 10.9897 4.48868i 0.400485 0.163577i
\(754\) −8.13872 + 2.43039i −0.296395 + 0.0885097i
\(755\) 9.79311 0.356408
\(756\) −10.0543 4.34004i −0.365672 0.157846i
\(757\) −18.0923 −0.657575 −0.328787 0.944404i \(-0.606640\pi\)
−0.328787 + 0.944404i \(0.606640\pi\)
\(758\) −0.138153 0.239288i −0.00501794 0.00869133i
\(759\) 14.0586 + 34.4196i 0.510293 + 1.24935i
\(760\) 5.36494 + 3.09745i 0.194607 + 0.112356i
\(761\) 11.4273 + 6.59758i 0.414241 + 0.239162i 0.692610 0.721312i \(-0.256461\pi\)
−0.278369 + 0.960474i \(0.589794\pi\)
\(762\) 2.55359 3.29413i 0.0925067 0.119334i
\(763\) 5.86122 + 10.1519i 0.212191 + 0.367525i
\(764\) 7.29638 0.263974
\(765\) −4.75428 + 1.22376i −0.171891 + 0.0442453i
\(766\) 1.07807 0.0389522
\(767\) 35.5410 10.6133i 1.28331 0.383224i
\(768\) −1.42859 + 10.4525i −0.0515498 + 0.377174i
\(769\) 15.3574 + 8.86659i 0.553801 + 0.319737i 0.750654 0.660696i \(-0.229739\pi\)
−0.196852 + 0.980433i \(0.563072\pi\)
\(770\) −1.05576 + 1.82863i −0.0380469 + 0.0658992i
\(771\) 4.11022 30.0732i 0.148026 1.08306i
\(772\) −8.43753 + 4.87141i −0.303673 + 0.175326i
\(773\) 31.2282i 1.12320i 0.827409 + 0.561600i \(0.189814\pi\)
−0.827409 + 0.561600i \(0.810186\pi\)
\(774\) 21.4199 5.51355i 0.769923 0.198180i </