Properties

Label 585.2.bt.b.376.23
Level $585$
Weight $2$
Character 585.376
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 376.23
Character \(\chi\) \(=\) 585.376
Dual form 585.2.bt.b.571.23

$q$-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 \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).

\(n\) \(326\) \(352\) \(496\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(-1\)

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 0.301955 0.953322i \(-0.402361\pi\)
−0.674624 + 0.738162i \(0.735694\pi\)
\(3\) −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 0.696494 0.717563i \(-0.254742\pi\)
−0.273181 + 0.961963i \(0.588076\pi\)
\(8\) 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 0.807554 0.589793i \(-0.200791\pi\)
−0.106999 + 0.994259i \(0.534124\pi\)
\(12\) 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 \(-0.895745\pi\)
0.946841 0.321703i \(-0.104255\pi\)
\(20\) −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 0.894717 + 0.446634i \(0.147377\pi\)
−0.0605617 + 0.998164i \(0.519289\pi\)
\(24\) 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 −0.628448 0.777852i \(-0.716309\pi\)
0.987863 + 0.155326i \(0.0496428\pi\)
\(30\) 0.975808 + 0.398565i 0.178157 + 0.0727677i
\(31\) 7.48207 4.31977i 1.34382 0.775854i 0.356454 0.934313i \(-0.383986\pi\)
0.987366 + 0.158459i \(0.0506524\pi\)
\(32\) 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 \(-0.685380\pi\)
0.550019 0.835152i \(-0.314620\pi\)
\(38\) −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 −0.938072 0.346441i \(-0.887390\pi\)
−0.169009 + 0.985614i \(0.554057\pi\)
\(42\) 0.184593 + 1.35061i 0.0284833 + 0.208403i
\(43\) −6.05745 + 10.4918i −0.923752 + 1.59999i −0.130197 + 0.991488i \(0.541561\pi\)
−0.793556 + 0.608498i \(0.791772\pi\)
\(44\) 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 0.999171 + 0.0407203i \(0.0129653\pi\)
0.534850 + 0.844947i \(0.320368\pi\)
\(48\) 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 0.208601 0.978001i \(-0.433109\pi\)
0.951274 + 0.308347i \(0.0997757\pi\)
\(60\) 1.72934 + 2.23084i 0.223256 + 0.288001i
\(61\) 2.42579 4.20160i 0.310591 0.537960i −0.667899 0.744252i \(-0.732806\pi\)
0.978490 + 0.206292i \(0.0661397\pi\)
\(62\) −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 −0.993449 0.114280i \(-0.963544\pi\)
−0.397755 + 0.917492i \(0.630211\pi\)
\(68\) 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 \(0.0177265\pi\)
−0.998450 + 0.0556607i \(0.982274\pi\)
\(72\) −4.63929 + 4.73174i −0.546745 + 0.557641i
\(73\) 14.6411i 1.71362i −0.515636 0.856808i \(-0.672444\pi\)
0.515636 0.856808i \(-0.327556\pi\)
\(74\) −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 −0.620804 0.783966i \(-0.713194\pi\)
0.989336 + 0.145649i \(0.0465271\pi\)
\(80\) 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 0.910911 0.412602i \(-0.135380\pi\)
0.0981318 + 0.995173i \(0.468713\pi\)
\(84\) −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 \(0.186756\pi\)
−0.832766 + 0.553625i \(0.813244\pi\)
\(90\) −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 0.882781 0.469786i \(-0.155669\pi\)
0.0345440 + 0.999403i \(0.489002\pi\)
\(98\) 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 −0.895860 0.444336i \(-0.853440\pi\)
0.832736 + 0.553670i \(0.186773\pi\)
\(102\) −1.05678 1.36325i −0.104637 0.134982i
\(103\) 1.80837 + 3.13218i 0.178184 + 0.308623i 0.941258 0.337687i \(-0.109645\pi\)
−0.763075 + 0.646310i \(0.776311\pi\)
\(104\) −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 \(-0.857064\pi\)
0.900862 0.434106i \(-0.142936\pi\)
\(110\) −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 0.972619 0.232404i \(-0.0746592\pi\)
−0.687577 + 0.726111i \(0.741326\pi\)
\(114\) 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 0.794009 0.607906i \(-0.207990\pi\)
−0.923467 + 0.383678i \(0.874657\pi\)
\(132\) −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 0.592167 0.805815i \(-0.298273\pi\)
−0.401773 + 0.915739i \(0.631606\pi\)
\(138\) −3.18889 + 7.80738i −0.271457 + 0.664608i
\(139\) −1.08452 1.87844i −0.0919875 0.159327i 0.816360 0.577544i \(-0.195989\pi\)
−0.908347 + 0.418217i \(0.862655\pi\)
\(140\) −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 −0.0972506 0.995260i \(-0.531005\pi\)
0.813295 + 0.581851i \(0.197672\pi\)
\(150\) 1.04436 0.142736i 0.0852714 0.0116544i
\(151\) 8.48108 + 4.89655i 0.690181 + 0.398476i 0.803680 0.595062i \(-0.202873\pi\)
−0.113499 + 0.993538i \(0.536206\pi\)
\(152\) 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 0.982523 + 0.186143i \(0.0595989\pi\)
−0.330056 + 0.943961i \(0.607068\pi\)
\(158\) −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 \(-0.970416\pi\)
0.995684 0.0928058i \(-0.0295836\pi\)
\(164\) 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 −0.541907 0.840438i \(-0.682298\pi\)
0.456887 + 0.889525i \(0.348964\pi\)
\(168\) 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 −0.983500 0.180910i \(-0.942096\pi\)
0.648422 + 0.761281i \(0.275429\pi\)
\(174\) 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 −0.935579 0.353116i \(-0.885122\pi\)
0.773597 + 0.633677i \(0.218455\pi\)
\(192\) −0.693270 0.283164i −0.0500325 0.0204356i
\(193\) 5.17752 2.98924i 0.372686 0.215170i −0.301945 0.953325i \(-0.597636\pi\)
0.674631 + 0.738155i \(0.264303\pi\)
\(194\) −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 \(-0.821927\pi\)
0.847556 0.530707i \(-0.178073\pi\)
\(198\) 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 0.989036 + 0.147675i \(0.0471790\pi\)
−0.366627 + 0.930368i \(0.619488\pi\)
\(212\) −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 0.209563 0.977795i \(-0.432796\pi\)
−0.742014 + 0.670385i \(0.766129\pi\)
\(224\) 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 0.542902 0.839796i \(-0.317325\pi\)
−0.455833 + 0.890065i \(0.650659\pi\)
\(228\) 7.84328 1.07197i 0.519434 0.0709931i
\(229\) 20.9453 12.0928i 1.38410 0.799112i 0.391460 0.920195i \(-0.371970\pi\)
0.992642 + 0.121083i \(0.0386367\pi\)
\(230\) −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 −0.950061 0.312063i \(-0.898980\pi\)
−0.204776 + 0.978809i \(0.565647\pi\)
\(240\) 1.25421 3.07070i 0.0809592 0.198213i
\(241\) 3.58808 + 2.07158i 0.231129 + 0.133442i 0.611093 0.791559i \(-0.290730\pi\)
−0.379964 + 0.925001i \(0.624064\pi\)
\(242\) 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 −0.998507 0.0546298i \(-0.982602\pi\)
0.451943 0.892047i \(-0.350731\pi\)
\(258\) −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 0.156931 0.987609i \(-0.449840\pi\)
0.776829 0.629711i \(-0.216827\pi\)
\(264\) 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 \(0.194368\pi\)
−0.819290 + 0.573380i \(0.805632\pi\)
\(272\) 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 −0.684200 0.729294i \(-0.739849\pi\)
0.973687 + 0.227888i \(0.0731819\pi\)
\(278\) 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 0.444007 0.896023i \(-0.353556\pi\)
−0.553975 + 0.832533i \(0.686890\pi\)
\(282\) 1.73334 + 12.6823i 0.103219 + 0.755221i
\(283\) 3.93032 + 6.80751i 0.233633 + 0.404664i 0.958875 0.283830i \(-0.0916052\pi\)
−0.725241 + 0.688495i \(0.758272\pi\)
\(284\) 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 −0.413198 0.910641i \(-0.635588\pi\)
0.582039 + 0.813161i \(0.302255\pi\)
\(294\) 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 \(-0.850650\pi\)
0.891932 0.452171i \(-0.149350\pi\)
\(308\) 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 0.995487 0.0948969i \(-0.0302521\pi\)
−0.579927 + 0.814669i \(0.696919\pi\)
\(312\) 12.8647 4.97850i 0.728322 0.281852i
\(313\) −9.47920 + 16.4184i −0.535796 + 0.928026i 0.463329 + 0.886187i \(0.346655\pi\)
−0.999124 + 0.0418390i \(0.986678\pi\)
\(314\) 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 −0.0313849 0.999507i \(-0.509992\pi\)
−0.881291 + 0.472574i \(0.843325\pi\)
\(318\) 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 0.525242 0.850953i \(-0.323975\pi\)
−0.474326 + 0.880349i \(0.657308\pi\)
\(332\) 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 −0.999997 0.00256156i \(-0.999185\pi\)
0.497780 0.867303i \(-0.334149\pi\)
\(338\) 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 0.711452 0.702734i \(-0.248038\pi\)
−0.964312 + 0.264769i \(0.914704\pi\)
\(348\) 10.1152 + 4.13154i 0.542234 + 0.221474i
\(349\) −0.446328 0.257688i −0.0238914 0.0137937i 0.488007 0.872840i \(-0.337724\pi\)
−0.511898 + 0.859046i \(0.671057\pi\)
\(350\) −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 −0.149762 0.988722i \(-0.547851\pi\)
−0.931139 + 0.364663i \(0.881184\pi\)
\(354\) 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 \(0.0640088\pi\)
−0.979850 + 0.199737i \(0.935991\pi\)
\(360\) −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 −0.998471 0.0552716i \(-0.982398\pi\)
0.547102 + 0.837066i \(0.315731\pi\)
\(368\) −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 −0.983569 0.180533i \(-0.942218\pi\)
0.335438 0.942062i \(-0.391116\pi\)
\(374\) 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 \(-0.996288\pi\)
0.999932 0.0116609i \(-0.00371187\pi\)
\(380\) −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 −0.538683 0.842508i \(-0.681078\pi\)
0.460292 + 0.887768i \(0.347745\pi\)
\(384\) 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 −0.795268 0.606258i \(-0.792670\pi\)
0.922669 + 0.385593i \(0.126003\pi\)
\(390\) 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 \(0.139709\pi\)
−0.905217 + 0.424951i \(0.860291\pi\)
\(398\) 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 −0.568541 + 0.822655i \(0.692492\pi\)
−0.996711 + 0.0810430i \(0.974175\pi\)
\(402\) −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 −0.997832 0.0658052i \(-0.979038\pi\)
−0.441927 + 0.897051i \(0.645705\pi\)
\(410\) 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 0.871230 + 0.490875i \(0.163323\pi\)
−0.0105051 + 0.999945i \(0.503344\pi\)
\(420\) 0.494312 + 3.61672i 0.0241200 + 0.176478i
\(421\) −3.25429 1.87887i −0.158605 0.0915704i 0.418597 0.908172i \(-0.362522\pi\)
−0.577202 + 0.816602i \(0.695855\pi\)
\(422\) 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 \(-0.859845\pi\)
0.904620 0.426220i \(-0.140155\pi\)
\(432\) 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 −0.969472 0.245202i \(-0.921146\pi\)
0.697087 + 0.716986i \(0.254479\pi\)
\(440\) 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 −0.970714 0.240240i \(-0.922774\pi\)
0.693411 + 0.720543i \(0.256107\pi\)
\(444\) 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 \(-0.954698\pi\)
0.989890 0.141840i \(-0.0453017\pi\)
\(450\) −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 −0.147370 0.989081i \(-0.547081\pi\)
−0.930255 + 0.366914i \(0.880414\pi\)
\(458\) −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 0.409977 0.912096i \(-0.365537\pi\)
−0.584909 + 0.811099i \(0.698870\pi\)
\(462\) −1.38289 + 3.38573i −0.0643378 + 0.157518i
\(463\) −30.3881 + 17.5446i −1.41225 + 0.815365i −0.995600 0.0937000i \(-0.970131\pi\)
−0.416654 + 0.909065i \(0.636797\pi\)
\(464\) 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 0.586179 0.810182i \(-0.300632\pi\)
−0.408549 + 0.912736i \(0.633965\pi\)
\(480\) −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 \(0.156196\pi\)
−0.882001 + 0.471247i \(0.843804\pi\)
\(488\) 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 −0.971185 0.238327i \(-0.923401\pi\)
0.279195 0.960234i \(-0.409932\pi\)
\(492\) −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 −0.674682 0.738109i \(-0.735719\pi\)
0.301880 + 0.953346i \(0.402386\pi\)
\(500\) −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 −0.920742 0.390173i \(-0.872415\pi\)
−0.122471 + 0.992472i \(0.539082\pi\)
\(510\) −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 \(-0.804554\pi\)
0.817344 0.576151i \(-0.195446\pi\)
\(542\) 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 −0.203418 0.979092i \(-0.565205\pi\)
0.949628 0.313380i \(-0.101461\pi\)
\(548\) 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 \(0.207845\pi\)
−0.794287 + 0.607543i \(0.792155\pi\)
\(558\) −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 −0.945564 0.325436i \(-0.894489\pi\)
0.190946 0.981600i \(-0.438844\pi\)
\(564\) −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 −0.930577 0.366097i \(-0.880694\pi\)
0.782338 + 0.622854i \(0.214027\pi\)
\(570\) 1.11779 2.73670i 0.0468192 0.114628i
\(571\) −2.13580 3.69932i −0.0893806 0.154812i 0.817869 0.575405i \(-0.195155\pi\)
−0.907249 + 0.420593i \(0.861822\pi\)
\(572\) 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 \(0.243293\pi\)
−0.721847 + 0.692053i \(0.756707\pi\)
\(578\) 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 0.394056 0.919087i \(-0.371072\pi\)
−0.598924 + 0.800806i \(0.704405\pi\)
\(588\) 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 \(0.0923106\pi\)
−0.958243 + 0.285954i \(0.907689\pi\)
\(594\) −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 0.984486 0.175461i \(-0.0561417\pi\)
−0.644197 + 0.764859i \(0.722808\pi\)
\(600\) −2.34400 3.02376i −0.0956933 0.123444i
\(601\) 2.26464 3.92248i 0.0923768 0.160001i −0.816134 0.577863i \(-0.803887\pi\)
0.908511 + 0.417861i \(0.137220\pi\)
\(602\) 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 0.845128 0.534564i \(-0.179524\pi\)
−0.885510 + 0.464621i \(0.846191\pi\)
\(608\) −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 \(0.0693305\pi\)
−0.976373 + 0.216090i \(0.930670\pi\)
\(614\) −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 −0.879493 0.475912i \(-0.842118\pi\)
−0.0275944 + 0.999619i \(0.508785\pi\)
\(618\) −1.44151 + 3.52924i −0.0579858 + 0.141967i
\(619\) −5.02248 2.89973i −0.201871 0.116550i 0.395657 0.918398i \(-0.370517\pi\)
−0.597528 + 0.801848i \(0.703850\pi\)
\(620\) −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 \(0.0934715\pi\)
−0.957194 + 0.289447i \(0.906529\pi\)
\(632\) 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 0.139720 + 0.990191i \(0.455380\pi\)
−0.927390 + 0.374095i \(0.877953\pi\)
\(642\) −13.0327 16.8121i −0.514359 0.663522i
\(643\) −8.77952 + 5.06886i −0.346231 + 0.199896i −0.663024 0.748598i \(-0.730727\pi\)
0.316793 + 0.948495i \(0.397394\pi\)
\(644\) 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 0.828226 0.560395i \(-0.189351\pi\)
−0.899429 + 0.437067i \(0.856017\pi\)
\(654\) 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 −0.972817 0.231573i \(-0.925613\pi\)
0.686957 + 0.726698i \(0.258946\pi\)
\(660\) 1.02549 + 7.50315i 0.0399170 + 0.292060i
\(661\) 20.3379 11.7421i 0.791052 0.456714i −0.0492805 0.998785i \(-0.515693\pi\)
0.840333 + 0.542071i \(0.182359\pi\)
\(662\) −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 −0.734449 0.678664i \(-0.762559\pi\)
0.954965 + 0.296719i \(0.0958924\pi\)
\(674\) 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 −0.453977 0.891014i \(-0.649995\pi\)
0.998629 0.0523515i \(-0.0166716\pi\)
\(678\) −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 \(-0.872145\pi\)
0.920410 0.390954i \(-0.127855\pi\)
\(684\) −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 0.0461969 0.998932i \(-0.485290\pi\)
−0.842002 + 0.539474i \(0.818623\pi\)
\(692\) 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 0.0236696 0.999720i \(-0.492465\pi\)
−0.853948 + 0.520358i \(0.825798\pi\)
\(710\) 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 −0.889097 0.457719i \(-0.848667\pi\)
0.840945 + 0.541121i \(0.182000\pi\)
\(728\) −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 0.232124 0.972686i \(-0.425433\pi\)
0.958433 + 0.285318i \(0.0920992\pi\)
\(734\) 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 \(-0.644038\pi\)
0.437222 0.899354i \(-0.355962\pi\)
\(740\) −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 0.243005 0.970025i \(-0.421867\pi\)
0.961569 + 0.274564i \(0.0885334\pi\)
\(744\) −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 −0.873103 0.487536i \(-0.837896\pi\)
0.0143334 0.999897i \(-0.495437\pi\)
\(752\) −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 −0.278369 0.960474i \(-0.589794\pi\)
0.692610 + 0.721312i \(0.256461\pi\)
\(762\) 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 −0.196852 0.980433i \(-0.563072\pi\)
0.750654 + 0.660696i \(0.229739\pi\)
\(770\) −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 \(-0.810186\pi\)
0.827409 0.561600i \(-0.189814\pi\)
\(774\) 21.4199 + 5.51355i 0.769923 + 0.198180i