Properties

Label 483.2.y.b.331.6
Level $483$
Weight $2$
Character 483.331
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 331.6
Character \(\chi\) \(=\) 483.331
Dual form 483.2.y.b.340.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.187507 + 0.772913i) q^{2} +(-0.327068 + 0.945001i) q^{3} +(1.21544 + 0.626600i) q^{4} +(2.15041 + 0.860895i) q^{5} +(-0.669076 - 0.429989i) q^{6} +(0.216441 + 2.63688i) q^{7} +(-1.75387 + 2.02408i) q^{8} +(-0.786053 - 0.618159i) q^{9} +O(q^{10})\) \(q+(-0.187507 + 0.772913i) q^{2} +(-0.327068 + 0.945001i) q^{3} +(1.21544 + 0.626600i) q^{4} +(2.15041 + 0.860895i) q^{5} +(-0.669076 - 0.429989i) q^{6} +(0.216441 + 2.63688i) q^{7} +(-1.75387 + 2.02408i) q^{8} +(-0.786053 - 0.618159i) q^{9} +(-1.06861 + 1.50066i) q^{10} +(0.0463658 + 0.191122i) q^{11} +(-0.989668 + 0.943646i) q^{12} +(-0.365286 - 0.799865i) q^{13} +(-2.07867 - 0.327143i) q^{14} +(-1.51688 + 1.75057i) q^{15} +(0.350821 + 0.492660i) q^{16} +(0.361987 - 7.59904i) q^{17} +(0.625173 - 0.491642i) q^{18} +(0.172516 + 3.62155i) q^{19} +(2.07425 + 2.39381i) q^{20} +(-2.56265 - 0.657903i) q^{21} -0.156415 q^{22} +(4.26887 - 2.18558i) q^{23} +(-1.33912 - 2.31942i) q^{24} +(0.264459 + 0.252161i) q^{25} +(0.686720 - 0.132354i) q^{26} +(0.841254 - 0.540641i) q^{27} +(-1.38920 + 3.34058i) q^{28} +(-1.02138 - 0.656400i) q^{29} +(-1.06861 - 1.50066i) q^{30} +(1.47094 + 0.283501i) q^{31} +(-5.41935 + 2.16958i) q^{32} +(-0.195775 - 0.0186943i) q^{33} +(5.80552 + 1.70465i) q^{34} +(-1.80464 + 5.85672i) q^{35} +(-0.568058 - 1.24387i) q^{36} +(-2.16539 - 1.70288i) q^{37} +(-2.83149 - 0.545725i) q^{38} +(0.875347 - 0.0835855i) q^{39} +(-5.51407 + 2.84270i) q^{40} +(-0.172968 - 1.20302i) q^{41} +(0.989015 - 1.85734i) q^{42} +(1.16802 + 1.34797i) q^{43} +(-0.0634027 + 0.261350i) q^{44} +(-1.15817 - 2.00601i) q^{45} +(0.888823 + 3.70927i) q^{46} +(0.751264 - 1.30123i) q^{47} +(-0.580306 + 0.170393i) q^{48} +(-6.90631 + 1.14146i) q^{49} +(-0.244487 + 0.157122i) q^{50} +(7.06271 + 2.82748i) q^{51} +(0.0572141 - 1.20107i) q^{52} +(-10.5330 + 1.00578i) q^{53} +(0.260128 + 0.751589i) q^{54} +(-0.0648307 + 0.450908i) q^{55} +(-5.71687 - 4.18666i) q^{56} +(-3.47879 - 1.02147i) q^{57} +(0.698855 - 0.666357i) q^{58} +(3.76852 - 5.29215i) q^{59} +(-2.94057 + 1.17723i) q^{60} +(4.51254 + 13.0381i) q^{61} +(-0.494933 + 1.08375i) q^{62} +(1.45988 - 2.20653i) q^{63} +(-0.488587 - 3.39819i) q^{64} +(-0.0969158 - 2.03451i) q^{65} +(0.0511583 - 0.147812i) q^{66} +(1.95760 + 1.86656i) q^{67} +(5.20153 - 9.00932i) q^{68} +(0.669166 + 4.74892i) q^{69} +(-4.18835 - 2.49300i) q^{70} +(-0.831265 + 0.244081i) q^{71} +(2.62984 - 0.506860i) q^{72} +(7.83592 + 4.03970i) q^{73} +(1.72220 - 1.35435i) q^{74} +(-0.324789 + 0.167440i) q^{75} +(-2.05958 + 4.50986i) q^{76} +(-0.493932 + 0.163628i) q^{77} +(-0.0995290 + 0.692239i) q^{78} +(2.53186 + 0.241763i) q^{79} +(0.330282 + 1.36144i) q^{80} +(0.235759 + 0.971812i) q^{81} +(0.962261 + 0.0918848i) q^{82} +(1.89350 - 13.1696i) q^{83} +(-2.70249 - 2.40539i) q^{84} +(7.32040 - 16.0294i) q^{85} +(-1.26087 + 0.650024i) q^{86} +(0.954359 - 0.750516i) q^{87} +(-0.468166 - 0.241356i) q^{88} +(7.83798 - 1.51065i) q^{89} +(1.76763 - 0.519023i) q^{90} +(2.03009 - 1.13634i) q^{91} +(6.55802 + 0.0184421i) q^{92} +(-0.749007 + 1.29732i) q^{93} +(0.864869 + 0.824651i) q^{94} +(-2.74680 + 7.93635i) q^{95} +(-0.277759 - 5.83089i) q^{96} +(-1.22151 - 8.49576i) q^{97} +(0.412729 - 5.55200i) q^{98} +(0.0816980 - 0.178894i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 2q^{11} + 18q^{12} + 18q^{14} - 18q^{15} - 8q^{16} + 4q^{17} + 2q^{18} + 8q^{19} - 162q^{20} - 4q^{21} + 144q^{22} - 26q^{23} + 6q^{24} - 8q^{25} - 14q^{26} - 32q^{27} + 86q^{28} - 74q^{29} - 56q^{31} - 28q^{32} + 13q^{33} + 40q^{34} - 32q^{35} - 14q^{36} + 2q^{37} - 39q^{38} - 52q^{40} + 60q^{41} - 61q^{42} + 16q^{43} - 75q^{44} - 2q^{45} - 4q^{46} - 40q^{47} - 28q^{48} - 100q^{49} + 146q^{50} - 18q^{51} - 18q^{52} + 34q^{53} + 2q^{54} + 36q^{55} - 102q^{56} + 28q^{57} - 17q^{58} - 102q^{59} - 18q^{60} - 18q^{61} - 88q^{62} + 2q^{63} - 252q^{64} - 78q^{65} + 16q^{66} + 12q^{67} + 34q^{68} + 8q^{69} + 264q^{70} + 160q^{71} + 6q^{72} - 8q^{73} + 70q^{74} + 14q^{75} - 40q^{76} - 90q^{77} - 16q^{78} + 26q^{79} - 103q^{80} + 16q^{81} - 30q^{82} - 80q^{83} - 52q^{84} - 128q^{85} + 90q^{86} + 4q^{87} - 293q^{88} - 36q^{89} + 16q^{91} - 174q^{92} + 32q^{93} + 57q^{94} - 85q^{95} - 50q^{96} - 8q^{97} - 193q^{98} - 26q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{5}{11}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.187507 + 0.772913i −0.132587 + 0.546532i 0.866307 + 0.499512i \(0.166487\pi\)
−0.998894 + 0.0470196i \(0.985028\pi\)
\(3\) −0.327068 + 0.945001i −0.188833 + 0.545596i
\(4\) 1.21544 + 0.626600i 0.607718 + 0.313300i
\(5\) 2.15041 + 0.860895i 0.961693 + 0.385004i 0.798771 0.601635i \(-0.205484\pi\)
0.162922 + 0.986639i \(0.447908\pi\)
\(6\) −0.669076 0.429989i −0.273149 0.175542i
\(7\) 0.216441 + 2.63688i 0.0818071 + 0.996648i
\(8\) −1.75387 + 2.02408i −0.620088 + 0.715619i
\(9\) −0.786053 0.618159i −0.262018 0.206053i
\(10\) −1.06861 + 1.50066i −0.337925 + 0.474549i
\(11\) 0.0463658 + 0.191122i 0.0139798 + 0.0576255i 0.978374 0.206843i \(-0.0663188\pi\)
−0.964394 + 0.264468i \(0.914804\pi\)
\(12\) −0.989668 + 0.943646i −0.285693 + 0.272407i
\(13\) −0.365286 0.799865i −0.101312 0.221843i 0.852188 0.523236i \(-0.175275\pi\)
−0.953500 + 0.301394i \(0.902548\pi\)
\(14\) −2.07867 0.327143i −0.555547 0.0874326i
\(15\) −1.51688 + 1.75057i −0.391656 + 0.451995i
\(16\) 0.350821 + 0.492660i 0.0877054 + 0.123165i
\(17\) 0.361987 7.59904i 0.0877947 1.84304i −0.341510 0.939878i \(-0.610938\pi\)
0.429304 0.903160i \(-0.358759\pi\)
\(18\) 0.625173 0.491642i 0.147355 0.115881i
\(19\) 0.172516 + 3.62155i 0.0395778 + 0.830841i 0.928173 + 0.372149i \(0.121379\pi\)
−0.888595 + 0.458692i \(0.848318\pi\)
\(20\) 2.07425 + 2.39381i 0.463816 + 0.535272i
\(21\) −2.56265 0.657903i −0.559216 0.143566i
\(22\) −0.156415 −0.0333477
\(23\) 4.26887 2.18558i 0.890121 0.455725i
\(24\) −1.33912 2.31942i −0.273347 0.473450i
\(25\) 0.264459 + 0.252161i 0.0528918 + 0.0504323i
\(26\) 0.686720 0.132354i 0.134677 0.0259568i
\(27\) 0.841254 0.540641i 0.161899 0.104046i
\(28\) −1.38920 + 3.34058i −0.262534 + 0.631311i
\(29\) −1.02138 0.656400i −0.189665 0.121890i 0.442362 0.896837i \(-0.354141\pi\)
−0.632027 + 0.774946i \(0.717777\pi\)
\(30\) −1.06861 1.50066i −0.195101 0.273981i
\(31\) 1.47094 + 0.283501i 0.264189 + 0.0509183i 0.319626 0.947544i \(-0.396443\pi\)
−0.0554364 + 0.998462i \(0.517655\pi\)
\(32\) −5.41935 + 2.16958i −0.958014 + 0.383531i
\(33\) −0.195775 0.0186943i −0.0340801 0.00325426i
\(34\) 5.80552 + 1.70465i 0.995639 + 0.292346i
\(35\) −1.80464 + 5.85672i −0.305040 + 0.989966i
\(36\) −0.568058 1.24387i −0.0946763 0.207312i
\(37\) −2.16539 1.70288i −0.355987 0.279952i 0.424109 0.905611i \(-0.360587\pi\)
−0.780096 + 0.625660i \(0.784830\pi\)
\(38\) −2.83149 0.545725i −0.459329 0.0885284i
\(39\) 0.875347 0.0835855i 0.140168 0.0133844i
\(40\) −5.51407 + 2.84270i −0.871851 + 0.449470i
\(41\) −0.172968 1.20302i −0.0270131 0.187880i 0.971847 0.235612i \(-0.0757096\pi\)
−0.998860 + 0.0477325i \(0.984801\pi\)
\(42\) 0.989015 1.85734i 0.152608 0.286594i
\(43\) 1.16802 + 1.34797i 0.178121 + 0.205563i 0.837788 0.545995i \(-0.183848\pi\)
−0.659667 + 0.751558i \(0.729303\pi\)
\(44\) −0.0634027 + 0.261350i −0.00955832 + 0.0393999i
\(45\) −1.15817 2.00601i −0.172649 0.299038i
\(46\) 0.888823 + 3.70927i 0.131050 + 0.546903i
\(47\) 0.751264 1.30123i 0.109583 0.189804i −0.806018 0.591891i \(-0.798382\pi\)
0.915601 + 0.402087i \(0.131715\pi\)
\(48\) −0.580306 + 0.170393i −0.0837600 + 0.0245942i
\(49\) −6.90631 + 1.14146i −0.986615 + 0.163066i
\(50\) −0.244487 + 0.157122i −0.0345756 + 0.0222204i
\(51\) 7.06271 + 2.82748i 0.988977 + 0.395927i
\(52\) 0.0572141 1.20107i 0.00793417 0.166559i
\(53\) −10.5330 + 1.00578i −1.44681 + 0.138154i −0.788706 0.614771i \(-0.789249\pi\)
−0.658107 + 0.752924i \(0.728643\pi\)
\(54\) 0.260128 + 0.751589i 0.0353989 + 0.102278i
\(55\) −0.0648307 + 0.450908i −0.00874177 + 0.0608004i
\(56\) −5.71687 4.18666i −0.763948 0.559467i
\(57\) −3.47879 1.02147i −0.460778 0.135297i
\(58\) 0.698855 0.666357i 0.0917642 0.0874970i
\(59\) 3.76852 5.29215i 0.490620 0.688979i −0.492837 0.870122i \(-0.664040\pi\)
0.983457 + 0.181142i \(0.0579795\pi\)
\(60\) −2.94057 + 1.17723i −0.379626 + 0.151979i
\(61\) 4.51254 + 13.0381i 0.577771 + 1.66936i 0.731984 + 0.681322i \(0.238595\pi\)
−0.154213 + 0.988038i \(0.549284\pi\)
\(62\) −0.494933 + 1.08375i −0.0628566 + 0.137637i
\(63\) 1.45988 2.20653i 0.183927 0.277996i
\(64\) −0.488587 3.39819i −0.0610733 0.424774i
\(65\) −0.0969158 2.03451i −0.0120209 0.252350i
\(66\) 0.0511583 0.147812i 0.00629715 0.0181944i
\(67\) 1.95760 + 1.86656i 0.239158 + 0.228037i 0.800174 0.599768i \(-0.204741\pi\)
−0.561015 + 0.827805i \(0.689589\pi\)
\(68\) 5.20153 9.00932i 0.630779 1.09254i
\(69\) 0.669166 + 4.74892i 0.0805581 + 0.571702i
\(70\) −4.18835 2.49300i −0.500604 0.297971i
\(71\) −0.831265 + 0.244081i −0.0986530 + 0.0289671i −0.330687 0.943741i \(-0.607280\pi\)
0.232034 + 0.972708i \(0.425462\pi\)
\(72\) 2.62984 0.506860i 0.309930 0.0597340i
\(73\) 7.83592 + 4.03970i 0.917125 + 0.472811i 0.851098 0.525007i \(-0.175937\pi\)
0.0660270 + 0.997818i \(0.478968\pi\)
\(74\) 1.72220 1.35435i 0.200202 0.157440i
\(75\) −0.324789 + 0.167440i −0.0375034 + 0.0193343i
\(76\) −2.05958 + 4.50986i −0.236251 + 0.517317i
\(77\) −0.493932 + 0.163628i −0.0562887 + 0.0186471i
\(78\) −0.0995290 + 0.692239i −0.0112694 + 0.0783807i
\(79\) 2.53186 + 0.241763i 0.284856 + 0.0272005i 0.236506 0.971630i \(-0.423998\pi\)
0.0483501 + 0.998830i \(0.484604\pi\)
\(80\) 0.330282 + 1.36144i 0.0369267 + 0.152214i
\(81\) 0.235759 + 0.971812i 0.0261954 + 0.107979i
\(82\) 0.962261 + 0.0918848i 0.106264 + 0.0101470i
\(83\) 1.89350 13.1696i 0.207838 1.44555i −0.572353 0.820007i \(-0.693969\pi\)
0.780192 0.625540i \(-0.215121\pi\)
\(84\) −2.70249 2.40539i −0.294866 0.262450i
\(85\) 7.32040 16.0294i 0.794008 1.73864i
\(86\) −1.26087 + 0.650024i −0.135963 + 0.0700939i
\(87\) 0.954359 0.750516i 0.102318 0.0804638i
\(88\) −0.468166 0.241356i −0.0499067 0.0257287i
\(89\) 7.83798 1.51065i 0.830824 0.160128i 0.243931 0.969793i \(-0.421563\pi\)
0.586893 + 0.809664i \(0.300351\pi\)
\(90\) 1.76763 0.519023i 0.186325 0.0547099i
\(91\) 2.03009 1.13634i 0.212811 0.119121i
\(92\) 6.55802 + 0.0184421i 0.683721 + 0.00192272i
\(93\) −0.749007 + 1.29732i −0.0776684 + 0.134526i
\(94\) 0.864869 + 0.824651i 0.0892044 + 0.0850562i
\(95\) −2.74680 + 7.93635i −0.281815 + 0.814252i
\(96\) −0.277759 5.83089i −0.0283487 0.595112i
\(97\) −1.22151 8.49576i −0.124025 0.862614i −0.952923 0.303213i \(-0.901940\pi\)
0.828898 0.559401i \(-0.188969\pi\)
\(98\) 0.412729 5.55200i 0.0416919 0.560837i
\(99\) 0.0816980 0.178894i 0.00821096 0.0179795i
\(100\) 0.163429 + 0.472196i 0.0163429 + 0.0472196i
\(101\) 9.04591 3.62144i 0.900102 0.360346i 0.124981 0.992159i \(-0.460113\pi\)
0.775121 + 0.631813i \(0.217689\pi\)
\(102\) −3.50970 + 4.92868i −0.347512 + 0.488012i
\(103\) 13.8119 13.1696i 1.36093 1.29764i 0.445435 0.895314i \(-0.353049\pi\)
0.915495 0.402329i \(-0.131799\pi\)
\(104\) 2.25965 + 0.663494i 0.221577 + 0.0650610i
\(105\) −4.94436 3.62093i −0.482520 0.353367i
\(106\) 1.19762 8.32965i 0.116323 0.809047i
\(107\) 2.97712 + 8.60182i 0.287809 + 0.831569i 0.992521 + 0.122076i \(0.0389551\pi\)
−0.704712 + 0.709494i \(0.748924\pi\)
\(108\) 1.36126 0.129984i 0.130987 0.0125077i
\(109\) −0.730901 + 15.3435i −0.0700076 + 1.46964i 0.641587 + 0.767050i \(0.278276\pi\)
−0.711595 + 0.702590i \(0.752027\pi\)
\(110\) −0.336356 0.134657i −0.0320703 0.0128390i
\(111\) 2.31745 1.48934i 0.219963 0.141361i
\(112\) −1.22315 + 1.03171i −0.115577 + 0.0974872i
\(113\) −7.49163 + 2.19974i −0.704753 + 0.206934i −0.614422 0.788978i \(-0.710611\pi\)
−0.0903312 + 0.995912i \(0.528793\pi\)
\(114\) 1.44180 2.49727i 0.135037 0.233891i
\(115\) 11.0614 1.02485i 1.03148 0.0955680i
\(116\) −0.830119 1.43781i −0.0770746 0.133497i
\(117\) −0.207309 + 0.854541i −0.0191658 + 0.0790024i
\(118\) 3.38375 + 3.90505i 0.311499 + 0.359489i
\(119\) 20.1161 0.690229i 1.84404 0.0632732i
\(120\) −0.882878 6.14055i −0.0805954 0.560553i
\(121\) 9.74281 5.02277i 0.885710 0.456615i
\(122\) −10.9235 + 1.04306i −0.988963 + 0.0944345i
\(123\) 1.19343 + 0.230014i 0.107608 + 0.0207397i
\(124\) 1.61019 + 1.26627i 0.144600 + 0.113714i
\(125\) −4.45959 9.76514i −0.398878 0.873421i
\(126\) 1.43171 + 1.54210i 0.127547 + 0.137381i
\(127\) −17.7798 5.22063i −1.57770 0.463256i −0.628472 0.777832i \(-0.716319\pi\)
−0.949232 + 0.314576i \(0.898138\pi\)
\(128\) −8.90401 0.850230i −0.787011 0.0751504i
\(129\) −1.65585 + 0.662903i −0.145790 + 0.0583653i
\(130\) 1.59067 + 0.306577i 0.139511 + 0.0268886i
\(131\) −0.596203 0.837249i −0.0520905 0.0731508i 0.787709 0.616047i \(-0.211267\pi\)
−0.839800 + 0.542896i \(0.817328\pi\)
\(132\) −0.226239 0.145395i −0.0196915 0.0126550i
\(133\) −9.51227 + 1.23876i −0.824819 + 0.107414i
\(134\) −1.80975 + 1.16306i −0.156339 + 0.100473i
\(135\) 2.27448 0.438369i 0.195756 0.0377288i
\(136\) 14.7462 + 14.0604i 1.26447 + 1.20567i
\(137\) −1.93201 3.34634i −0.165063 0.285897i 0.771615 0.636090i \(-0.219449\pi\)
−0.936678 + 0.350193i \(0.886116\pi\)
\(138\) −3.79597 0.373246i −0.323135 0.0317728i
\(139\) 6.70678 0.568862 0.284431 0.958697i \(-0.408195\pi\)
0.284431 + 0.958697i \(0.408195\pi\)
\(140\) −5.86325 + 5.98767i −0.495535 + 0.506051i
\(141\) 0.983947 + 1.13554i 0.0828633 + 0.0956293i
\(142\) −0.0327860 0.688262i −0.00275134 0.0577577i
\(143\) 0.135935 0.106901i 0.0113675 0.00893948i
\(144\) 0.0287778 0.604120i 0.00239815 0.0503434i
\(145\) −1.63129 2.29083i −0.135471 0.190243i
\(146\) −4.59162 + 5.29901i −0.380005 + 0.438549i
\(147\) 1.18015 6.89980i 0.0973372 0.569086i
\(148\) −1.56486 3.42657i −0.128631 0.281662i
\(149\) −3.72918 + 3.55577i −0.305506 + 0.291300i −0.827286 0.561780i \(-0.810117\pi\)
0.521780 + 0.853080i \(0.325268\pi\)
\(150\) −0.0685167 0.282430i −0.00559436 0.0230603i
\(151\) −6.14079 + 8.62353i −0.499730 + 0.701773i −0.984993 0.172595i \(-0.944785\pi\)
0.485262 + 0.874369i \(0.338724\pi\)
\(152\) −7.63287 6.00256i −0.619108 0.486872i
\(153\) −4.98196 + 5.74948i −0.402767 + 0.464818i
\(154\) −0.0338546 0.412447i −0.00272808 0.0332360i
\(155\) 2.91907 + 1.87597i 0.234465 + 0.150682i
\(156\) 1.11630 + 0.446900i 0.0893757 + 0.0357806i
\(157\) −18.7470 9.66474i −1.49617 0.771330i −0.500631 0.865661i \(-0.666899\pi\)
−0.995541 + 0.0943302i \(0.969929\pi\)
\(158\) −0.661602 + 1.91157i −0.0526342 + 0.152077i
\(159\) 2.49453 10.2826i 0.197829 0.815464i
\(160\) −13.5216 −1.06898
\(161\) 6.68708 + 10.7835i 0.527016 + 0.849855i
\(162\) −0.795332 −0.0624872
\(163\) 3.34169 13.7746i 0.261741 1.07891i −0.677464 0.735556i \(-0.736921\pi\)
0.939205 0.343357i \(-0.111564\pi\)
\(164\) 0.543581 1.57057i 0.0424465 0.122641i
\(165\) −0.404904 0.208743i −0.0315217 0.0162506i
\(166\) 9.82388 + 3.93289i 0.762481 + 0.305251i
\(167\) 13.9202 + 8.94598i 1.07718 + 0.692261i 0.953904 0.300111i \(-0.0970239\pi\)
0.123275 + 0.992373i \(0.460660\pi\)
\(168\) 5.82621 4.03312i 0.449502 0.311162i
\(169\) 8.00684 9.24039i 0.615911 0.710799i
\(170\) 11.0167 + 8.66365i 0.844945 + 0.664472i
\(171\) 2.10309 2.95337i 0.160827 0.225850i
\(172\) 0.575016 + 2.37025i 0.0438445 + 0.180730i
\(173\) −9.13333 + 8.70861i −0.694394 + 0.662104i −0.952684 0.303964i \(-0.901690\pi\)
0.258289 + 0.966068i \(0.416841\pi\)
\(174\) 0.401135 + 0.878363i 0.0304100 + 0.0665885i
\(175\) −0.607680 + 0.751926i −0.0459363 + 0.0568403i
\(176\) −0.0778922 + 0.0898923i −0.00587134 + 0.00677589i
\(177\) 3.76852 + 5.29215i 0.283260 + 0.397782i
\(178\) −0.302075 + 6.34133i −0.0226415 + 0.475303i
\(179\) 0.363327 0.285724i 0.0271564 0.0213560i −0.604489 0.796614i \(-0.706622\pi\)
0.631645 + 0.775258i \(0.282380\pi\)
\(180\) −0.150714 3.16388i −0.0112336 0.235822i
\(181\) 6.94493 + 8.01488i 0.516213 + 0.595741i 0.952679 0.303980i \(-0.0983155\pi\)
−0.436466 + 0.899721i \(0.643770\pi\)
\(182\) 0.497637 + 1.78215i 0.0368873 + 0.132102i
\(183\) −13.7969 −1.01990
\(184\) −3.06327 + 12.4738i −0.225827 + 0.919577i
\(185\) −3.19047 5.52606i −0.234568 0.406284i
\(186\) −0.862270 0.822173i −0.0632247 0.0602846i
\(187\) 1.46913 0.283152i 0.107433 0.0207061i
\(188\) 1.72846 1.11082i 0.126061 0.0810146i
\(189\) 1.60769 + 2.10127i 0.116942 + 0.152845i
\(190\) −5.61906 3.61115i −0.407650 0.261980i
\(191\) 3.25852 + 4.57595i 0.235778 + 0.331104i 0.915464 0.402399i \(-0.131823\pi\)
−0.679686 + 0.733503i \(0.737884\pi\)
\(192\) 3.37110 + 0.649726i 0.243288 + 0.0468899i
\(193\) −0.0607922 + 0.0243375i −0.00437592 + 0.00175185i −0.373849 0.927489i \(-0.621962\pi\)
0.369473 + 0.929241i \(0.379538\pi\)
\(194\) 6.79552 + 0.648894i 0.487890 + 0.0465879i
\(195\) 1.95431 + 0.573838i 0.139951 + 0.0410934i
\(196\) −9.10941 2.94012i −0.650672 0.210009i
\(197\) −0.541418 1.18554i −0.0385745 0.0844663i 0.889364 0.457200i \(-0.151148\pi\)
−0.927938 + 0.372734i \(0.878420\pi\)
\(198\) 0.122950 + 0.0966892i 0.00873770 + 0.00687140i
\(199\) −17.8013 3.43093i −1.26190 0.243212i −0.485941 0.873991i \(-0.661523\pi\)
−0.775962 + 0.630780i \(0.782735\pi\)
\(200\) −0.974222 + 0.0930269i −0.0688879 + 0.00657800i
\(201\) −2.40417 + 1.23944i −0.169577 + 0.0874231i
\(202\) 1.10289 + 7.67074i 0.0775988 + 0.539712i
\(203\) 1.50978 2.83533i 0.105966 0.199001i
\(204\) 6.81256 + 7.86211i 0.476975 + 0.550458i
\(205\) 0.663720 2.73589i 0.0463562 0.191083i
\(206\) 7.58916 + 13.1448i 0.528762 + 0.915842i
\(207\) −4.70659 0.920856i −0.327131 0.0640039i
\(208\) 0.265911 0.460572i 0.0184376 0.0319349i
\(209\) −0.684161 + 0.200888i −0.0473244 + 0.0138957i
\(210\) 3.72577 3.14261i 0.257102 0.216861i
\(211\) −7.84565 + 5.04209i −0.540117 + 0.347112i −0.782085 0.623172i \(-0.785844\pi\)
0.241968 + 0.970284i \(0.422207\pi\)
\(212\) −13.4323 5.37750i −0.922537 0.369328i
\(213\) 0.0412230 0.865377i 0.00282455 0.0592947i
\(214\) −7.20669 + 0.688155i −0.492639 + 0.0470413i
\(215\) 1.35126 + 3.90422i 0.0921555 + 0.266266i
\(216\) −0.381153 + 2.65098i −0.0259342 + 0.180376i
\(217\) −0.429186 + 3.94007i −0.0291351 + 0.267469i
\(218\) −11.7221 3.44193i −0.793923 0.233117i
\(219\) −6.38039 + 6.08369i −0.431147 + 0.411098i
\(220\) −0.361336 + 0.507426i −0.0243613 + 0.0342107i
\(221\) −6.21044 + 2.48628i −0.417759 + 0.167246i
\(222\) 0.716589 + 2.07045i 0.0480943 + 0.138959i
\(223\) 2.50405 5.48310i 0.167683 0.367176i −0.807071 0.590454i \(-0.798949\pi\)
0.974755 + 0.223279i \(0.0716759\pi\)
\(224\) −6.89390 13.8206i −0.460618 0.923427i
\(225\) −0.0520032 0.361690i −0.00346688 0.0241127i
\(226\) −0.295478 6.20284i −0.0196549 0.412607i
\(227\) 4.77477 13.7958i 0.316913 0.915660i −0.668235 0.743950i \(-0.732950\pi\)
0.985148 0.171709i \(-0.0549289\pi\)
\(228\) −3.58820 3.42134i −0.237634 0.226584i
\(229\) 10.5023 18.1905i 0.694010 1.20206i −0.276504 0.961013i \(-0.589176\pi\)
0.970513 0.241047i \(-0.0774909\pi\)
\(230\) −1.28196 + 8.74165i −0.0845300 + 0.576407i
\(231\) 0.00692077 0.520283i 0.000455353 0.0342321i
\(232\) 3.11997 0.916107i 0.204836 0.0601454i
\(233\) 7.95236 1.53269i 0.520976 0.100410i 0.0780176 0.996952i \(-0.475141\pi\)
0.442959 + 0.896542i \(0.353929\pi\)
\(234\) −0.621614 0.320464i −0.0406362 0.0209494i
\(235\) 2.73575 2.15142i 0.178461 0.140343i
\(236\) 7.89646 4.07091i 0.514016 0.264994i
\(237\) −1.05656 + 2.31354i −0.0686307 + 0.150280i
\(238\) −3.23842 + 15.6774i −0.209916 + 1.01622i
\(239\) −3.82046 + 26.5719i −0.247125 + 1.71879i 0.367544 + 0.930006i \(0.380199\pi\)
−0.614669 + 0.788785i \(0.710710\pi\)
\(240\) −1.39459 0.133167i −0.0900203 0.00859590i
\(241\) −3.65812 15.0790i −0.235640 0.971322i −0.959575 0.281454i \(-0.909183\pi\)
0.723935 0.689869i \(-0.242332\pi\)
\(242\) 2.05532 + 8.47215i 0.132121 + 0.544610i
\(243\) −0.995472 0.0950560i −0.0638596 0.00609785i
\(244\) −2.68499 + 18.6745i −0.171889 + 1.19552i
\(245\) −15.8341 3.49099i −1.01160 0.223031i
\(246\) −0.401556 + 0.879285i −0.0256023 + 0.0560612i
\(247\) 2.83374 1.46089i 0.180306 0.0929544i
\(248\) −3.15368 + 2.48008i −0.200259 + 0.157485i
\(249\) 11.8259 + 6.09670i 0.749439 + 0.386363i
\(250\) 8.38381 1.61585i 0.530238 0.102195i
\(251\) −12.7718 + 3.75015i −0.806152 + 0.236707i −0.658743 0.752368i \(-0.728911\pi\)
−0.147409 + 0.989076i \(0.547093\pi\)
\(252\) 3.15700 1.76713i 0.198872 0.111319i
\(253\) 0.615643 + 0.714540i 0.0387051 + 0.0449227i
\(254\) 7.36893 12.7634i 0.462368 0.800844i
\(255\) 12.7536 + 12.1605i 0.798659 + 0.761520i
\(256\) 4.57245 13.2112i 0.285778 0.825702i
\(257\) 0.544136 + 11.4228i 0.0339422 + 0.712535i 0.950143 + 0.311815i \(0.100937\pi\)
−0.916200 + 0.400720i \(0.868760\pi\)
\(258\) −0.201883 1.40413i −0.0125687 0.0874171i
\(259\) 4.02161 6.07845i 0.249891 0.377696i
\(260\) 1.15703 2.53355i 0.0717560 0.157124i
\(261\) 0.397098 + 1.14734i 0.0245798 + 0.0710185i
\(262\) 0.758913 0.303823i 0.0468858 0.0187702i
\(263\) −10.1669 + 14.2774i −0.626915 + 0.880379i −0.998853 0.0478782i \(-0.984754\pi\)
0.371938 + 0.928258i \(0.378693\pi\)
\(264\) 0.381204 0.363477i 0.0234615 0.0223705i
\(265\) −23.5161 6.90494i −1.44458 0.424167i
\(266\) 0.826162 7.58443i 0.0506553 0.465031i
\(267\) −1.13599 + 7.90098i −0.0695215 + 0.483532i
\(268\) 1.20974 + 3.49532i 0.0738967 + 0.213511i
\(269\) −21.9478 + 2.09576i −1.33818 + 0.127781i −0.739472 0.673188i \(-0.764925\pi\)
−0.598707 + 0.800968i \(0.704319\pi\)
\(270\) −0.0876581 + 1.84017i −0.00533470 + 0.111989i
\(271\) 18.9378 + 7.58157i 1.15039 + 0.460547i 0.866927 0.498435i \(-0.166092\pi\)
0.283465 + 0.958983i \(0.408516\pi\)
\(272\) 3.87073 2.48757i 0.234698 0.150831i
\(273\) 0.409866 + 2.29010i 0.0248062 + 0.138603i
\(274\) 2.94869 0.865814i 0.178137 0.0523058i
\(275\) −0.0359318 + 0.0622357i −0.00216677 + 0.00375295i
\(276\) −2.16235 + 6.19130i −0.130158 + 0.372673i
\(277\) 2.09887 + 3.63536i 0.126109 + 0.218427i 0.922166 0.386794i \(-0.126418\pi\)
−0.796057 + 0.605222i \(0.793084\pi\)
\(278\) −1.25757 + 5.18376i −0.0754238 + 0.310901i
\(279\) −0.980990 1.13212i −0.0587304 0.0677785i
\(280\) −8.68934 13.9247i −0.519287 0.832158i
\(281\) −4.01801 27.9458i −0.239694 1.66711i −0.653638 0.756807i \(-0.726758\pi\)
0.413944 0.910302i \(-0.364151\pi\)
\(282\) −1.06217 + 0.547585i −0.0632511 + 0.0326082i
\(283\) −29.2428 + 2.79235i −1.73830 + 0.165988i −0.915495 0.402329i \(-0.868201\pi\)
−0.822809 + 0.568317i \(0.807595\pi\)
\(284\) −1.16329 0.224206i −0.0690286 0.0133042i
\(285\) −6.60146 5.19145i −0.391037 0.307515i
\(286\) 0.0571361 + 0.125111i 0.00337853 + 0.00739795i
\(287\) 3.13478 0.716479i 0.185040 0.0422924i
\(288\) 5.60104 + 1.64461i 0.330044 + 0.0969098i
\(289\) −40.6914 3.88555i −2.39361 0.228562i
\(290\) 2.07649 0.831301i 0.121936 0.0488157i
\(291\) 8.42802 + 1.62437i 0.494059 + 0.0952221i
\(292\) 6.99278 + 9.81998i 0.409221 + 0.574671i
\(293\) −1.19804 0.769933i −0.0699902 0.0449800i 0.505178 0.863015i \(-0.331427\pi\)
−0.575168 + 0.818035i \(0.695063\pi\)
\(294\) 5.11166 + 2.20591i 0.298118 + 0.128651i
\(295\) 12.6599 8.13600i 0.737086 0.473696i
\(296\) 7.24457 1.39628i 0.421082 0.0811570i
\(297\) 0.142334 + 0.135715i 0.00825905 + 0.00787499i
\(298\) −2.04905 3.54906i −0.118698 0.205592i
\(299\) −3.30753 2.61616i −0.191279 0.151296i
\(300\) −0.499678 −0.0288489
\(301\) −3.30162 + 3.37169i −0.190302 + 0.194341i
\(302\) −5.51380 6.36327i −0.317284 0.366165i
\(303\) 0.463633 + 9.73285i 0.0266350 + 0.559138i
\(304\) −1.72367 + 1.35551i −0.0988593 + 0.0777438i
\(305\) −1.52064 + 31.9221i −0.0870715 + 1.82786i
\(306\) −3.50970 4.92868i −0.200636 0.281754i
\(307\) −13.7162 + 15.8293i −0.782824 + 0.903427i −0.997310 0.0732999i \(-0.976647\pi\)
0.214486 + 0.976727i \(0.431192\pi\)
\(308\) −0.702871 0.110619i −0.0400498 0.00630309i
\(309\) 7.92789 + 17.3597i 0.451002 + 0.987556i
\(310\) −1.99731 + 1.90443i −0.113439 + 0.108164i
\(311\) 4.26792 + 17.5926i 0.242011 + 0.997584i 0.955046 + 0.296456i \(0.0958048\pi\)
−0.713035 + 0.701128i \(0.752680\pi\)
\(312\) −1.36606 + 1.91837i −0.0773381 + 0.108606i
\(313\) 7.43879 + 5.84993i 0.420465 + 0.330658i 0.805873 0.592089i \(-0.201697\pi\)
−0.385407 + 0.922747i \(0.625939\pi\)
\(314\) 10.9852 12.6776i 0.619930 0.715437i
\(315\) 5.03893 3.48814i 0.283911 0.196534i
\(316\) 2.92582 + 1.88031i 0.164590 + 0.105776i
\(317\) −2.88041 1.15314i −0.161780 0.0647668i 0.289359 0.957221i \(-0.406558\pi\)
−0.451139 + 0.892454i \(0.648982\pi\)
\(318\) 7.47982 + 3.85611i 0.419447 + 0.216240i
\(319\) 0.0780957 0.225643i 0.00437252 0.0126336i
\(320\) 1.87483 7.72814i 0.104806 0.432016i
\(321\) −9.10245 −0.508049
\(322\) −9.58854 + 3.14656i −0.534349 + 0.175351i
\(323\) 27.5828 1.53475
\(324\) −0.322388 + 1.32890i −0.0179104 + 0.0738278i
\(325\) 0.105092 0.303643i 0.00582944 0.0168431i
\(326\) 10.0200 + 5.16567i 0.554957 + 0.286100i
\(327\) −14.2606 5.70907i −0.788611 0.315712i
\(328\) 2.73837 + 1.75984i 0.151201 + 0.0971710i
\(329\) 3.59379 + 1.69936i 0.198132 + 0.0936886i
\(330\) 0.237262 0.273815i 0.0130608 0.0150730i
\(331\) 25.8370 + 20.3184i 1.42013 + 1.11680i 0.975223 + 0.221222i \(0.0710046\pi\)
0.444904 + 0.895578i \(0.353238\pi\)
\(332\) 10.5535 14.8203i 0.579197 0.813369i
\(333\) 0.649459 + 2.67711i 0.0355901 + 0.146705i
\(334\) −9.52460 + 9.08169i −0.521163 + 0.496928i
\(335\) 2.60272 + 5.69917i 0.142202 + 0.311379i
\(336\) −0.574910 1.49332i −0.0313639 0.0814673i
\(337\) 0.669198 0.772295i 0.0364535 0.0420696i −0.737230 0.675642i \(-0.763867\pi\)
0.773684 + 0.633572i \(0.218412\pi\)
\(338\) 5.64068 + 7.92122i 0.306812 + 0.430858i
\(339\) 0.371515 7.79906i 0.0201779 0.423587i
\(340\) 18.9415 14.8958i 1.02725 0.807837i
\(341\) 0.0140180 + 0.294275i 0.000759119 + 0.0159359i
\(342\) 1.88836 + 2.17928i 0.102111 + 0.117842i
\(343\) −4.50471 17.9641i −0.243231 0.969968i
\(344\) −4.77695 −0.257556
\(345\) −2.64934 + 10.7882i −0.142635 + 0.580818i
\(346\) −5.01844 8.69219i −0.269793 0.467295i
\(347\) 4.33882 + 4.13706i 0.232920 + 0.222089i 0.797546 0.603258i \(-0.206131\pi\)
−0.564626 + 0.825347i \(0.690980\pi\)
\(348\) 1.63024 0.314202i 0.0873898 0.0168430i
\(349\) 4.08502 2.62529i 0.218666 0.140528i −0.426722 0.904383i \(-0.640332\pi\)
0.645389 + 0.763854i \(0.276695\pi\)
\(350\) −0.467229 0.610675i −0.0249745 0.0326419i
\(351\) −0.739738 0.475401i −0.0394843 0.0253750i
\(352\) −0.665927 0.935164i −0.0354940 0.0498444i
\(353\) 16.3211 + 3.14564i 0.868686 + 0.167426i 0.604073 0.796929i \(-0.293544\pi\)
0.264613 + 0.964355i \(0.414756\pi\)
\(354\) −4.79699 + 1.92043i −0.254957 + 0.102070i
\(355\) −1.99769 0.190756i −0.106026 0.0101243i
\(356\) 10.4731 + 3.07519i 0.555075 + 0.162985i
\(357\) −5.92708 + 19.2355i −0.313694 + 1.01805i
\(358\) 0.152713 + 0.334395i 0.00807115 + 0.0176733i
\(359\) −15.9310 12.5283i −0.840809 0.661219i 0.101915 0.994793i \(-0.467503\pi\)
−0.942724 + 0.333574i \(0.891745\pi\)
\(360\) 6.09159 + 1.17406i 0.321055 + 0.0618783i
\(361\) 5.82809 0.556515i 0.306741 0.0292902i
\(362\) −7.49702 + 3.86498i −0.394035 + 0.203139i
\(363\) 1.55996 + 10.8498i 0.0818766 + 0.569464i
\(364\) 3.17947 0.109095i 0.166650 0.00571811i
\(365\) 13.3727 + 15.4329i 0.699959 + 0.807796i
\(366\) 2.58702 10.6638i 0.135226 0.557407i
\(367\) −10.1442 17.5702i −0.529522 0.917159i −0.999407 0.0344315i \(-0.989038\pi\)
0.469885 0.882728i \(-0.344295\pi\)
\(368\) 2.57436 + 1.33635i 0.134198 + 0.0696621i
\(369\) −0.607695 + 1.05256i −0.0316353 + 0.0547940i
\(370\) 4.86940 1.42978i 0.253148 0.0743309i
\(371\) −4.93188 27.5565i −0.256050 1.43066i
\(372\) −1.72327 + 1.10748i −0.0893474 + 0.0574201i
\(373\) −28.6220 11.4585i −1.48199 0.593300i −0.517095 0.855928i \(-0.672987\pi\)
−0.964897 + 0.262627i \(0.915411\pi\)
\(374\) −0.0566201 + 1.18860i −0.00292776 + 0.0614612i
\(375\) 10.6867 1.02045i 0.551857 0.0526959i
\(376\) 1.31616 + 3.80281i 0.0678760 + 0.196115i
\(377\) −0.151936 + 1.05674i −0.00782511 + 0.0544248i
\(378\) −1.92555 + 0.848601i −0.0990397 + 0.0436473i
\(379\) −30.8793 9.06699i −1.58617 0.465740i −0.634512 0.772913i \(-0.718799\pi\)
−0.951654 + 0.307173i \(0.900617\pi\)
\(380\) −8.31147 + 7.92497i −0.426369 + 0.406542i
\(381\) 10.7487 15.0945i 0.550673 0.773312i
\(382\) −4.14781 + 1.66053i −0.212220 + 0.0849601i
\(383\) 10.4058 + 30.0656i 0.531711 + 1.53628i 0.816300 + 0.577628i \(0.196022\pi\)
−0.284589 + 0.958650i \(0.591857\pi\)
\(384\) 3.71568 8.13621i 0.189615 0.415199i
\(385\) −1.20302 0.0733560i −0.0613117 0.00373857i
\(386\) −0.00741185 0.0515505i −0.000377253 0.00262385i
\(387\) −0.0848678 1.78159i −0.00431407 0.0905635i
\(388\) 3.83879 11.0914i 0.194885 0.563083i
\(389\) −20.3764 19.4288i −1.03312 0.985080i −0.0332257 0.999448i \(-0.510578\pi\)
−0.999897 + 0.0143676i \(0.995426\pi\)
\(390\) −0.809974 + 1.40292i −0.0410146 + 0.0710394i
\(391\) −15.0630 33.2305i −0.761771 1.68054i
\(392\) 9.80238 15.9809i 0.495095 0.807156i
\(393\) 0.986200 0.289574i 0.0497472 0.0146071i
\(394\) 1.01784 0.196172i 0.0512780 0.00988302i
\(395\) 5.23640 + 2.69955i 0.263472 + 0.135829i
\(396\) 0.211394 0.166242i 0.0106229 0.00835396i
\(397\) −3.14419 + 1.62094i −0.157802 + 0.0813527i −0.535319 0.844650i \(-0.679808\pi\)
0.377516 + 0.926003i \(0.376778\pi\)
\(398\) 5.98968 13.1156i 0.300235 0.657424i
\(399\) 1.94053 9.39426i 0.0971481 0.470301i
\(400\) −0.0314518 + 0.218752i −0.00157259 + 0.0109376i
\(401\) −9.09716 0.868673i −0.454291 0.0433795i −0.134597 0.990900i \(-0.542974\pi\)
−0.319694 + 0.947521i \(0.603580\pi\)
\(402\) −0.507178 2.09062i −0.0252958 0.104271i
\(403\) −0.310552 1.28011i −0.0154697 0.0637671i
\(404\) 13.2639 + 1.26655i 0.659904 + 0.0630132i
\(405\) −0.329649 + 2.29276i −0.0163804 + 0.113928i
\(406\) 1.90837 + 1.69857i 0.0947107 + 0.0842988i
\(407\) 0.225058 0.492809i 0.0111557 0.0244276i
\(408\) −18.1101 + 9.33642i −0.896585 + 0.462222i
\(409\) −10.1085 + 7.94945i −0.499835 + 0.393075i −0.836001 0.548728i \(-0.815112\pi\)
0.336166 + 0.941803i \(0.390870\pi\)
\(410\) 1.99015 + 1.02600i 0.0982867 + 0.0506703i
\(411\) 3.79419 0.731270i 0.187154 0.0360709i
\(412\) 25.0396 7.35229i 1.23361 0.362221i
\(413\) 14.7704 + 8.79172i 0.726806 + 0.432612i
\(414\) 1.59426 3.46512i 0.0783536 0.170301i
\(415\) 15.4094 26.6899i 0.756418 1.31015i
\(416\) 3.71498 + 3.54223i 0.182142 + 0.173672i
\(417\) −2.19357 + 6.33791i −0.107420 + 0.310369i
\(418\) −0.0269840 0.566464i −0.00131983 0.0277067i
\(419\) 3.50921 + 24.4071i 0.171436 + 1.19236i 0.875853 + 0.482577i \(0.160299\pi\)
−0.704417 + 0.709786i \(0.748792\pi\)
\(420\) −3.74067 7.49915i −0.182526 0.365921i
\(421\) 15.1470 33.1672i 0.738218 1.61647i −0.0482463 0.998835i \(-0.515363\pi\)
0.786464 0.617636i \(-0.211909\pi\)
\(422\) −2.42599 7.00943i −0.118095 0.341214i
\(423\) −1.39490 + 0.558434i −0.0678223 + 0.0271520i
\(424\) 16.4377 23.0835i 0.798285 1.12103i
\(425\) 2.01191 1.91836i 0.0975922 0.0930540i
\(426\) 0.661131 + 0.194126i 0.0320319 + 0.00940542i
\(427\) −33.4033 + 14.7210i −1.61650 + 0.712400i
\(428\) −1.77141 + 12.3204i −0.0856243 + 0.595530i
\(429\) 0.0565612 + 0.163423i 0.00273080 + 0.00789012i
\(430\) −3.27100 + 0.312342i −0.157741 + 0.0150625i
\(431\) 1.42233 29.8584i 0.0685114 1.43823i −0.659004 0.752139i \(-0.729022\pi\)
0.727516 0.686091i \(-0.240675\pi\)
\(432\) 0.561482 + 0.224783i 0.0270143 + 0.0108149i
\(433\) 8.04312 5.16900i 0.386528 0.248406i −0.332917 0.942956i \(-0.608033\pi\)
0.719444 + 0.694550i \(0.244396\pi\)
\(434\) −2.96485 1.07051i −0.142317 0.0513862i
\(435\) 2.69838 0.792316i 0.129377 0.0379886i
\(436\) −10.5026 + 18.1910i −0.502984 + 0.871193i
\(437\) 8.65164 + 15.0829i 0.413864 + 0.721512i
\(438\) −3.50580 6.07222i −0.167514 0.290142i
\(439\) −3.10760 + 12.8097i −0.148318 + 0.611375i 0.848323 + 0.529479i \(0.177613\pi\)
−0.996641 + 0.0818956i \(0.973903\pi\)
\(440\) −0.798967 0.922057i −0.0380893 0.0439573i
\(441\) 6.13433 + 3.37195i 0.292111 + 0.160569i
\(442\) −0.757183 5.26632i −0.0360155 0.250493i
\(443\) 25.6915 13.2449i 1.22064 0.629283i 0.277195 0.960814i \(-0.410595\pi\)
0.943444 + 0.331531i \(0.107565\pi\)
\(444\) 3.74993 0.358075i 0.177964 0.0169935i
\(445\) 18.1554 + 3.49917i 0.860648 + 0.165876i
\(446\) 3.76843 + 2.96353i 0.178440 + 0.140327i
\(447\) −2.14051 4.68706i −0.101242 0.221690i
\(448\) 8.85489 2.02385i 0.418354 0.0956182i
\(449\) −13.6432 4.00599i −0.643860 0.189054i −0.0565288 0.998401i \(-0.518003\pi\)
−0.587331 + 0.809347i \(0.699821\pi\)
\(450\) 0.289306 + 0.0276254i 0.0136380 + 0.00130227i
\(451\) 0.221904 0.0888369i 0.0104490 0.00418317i
\(452\) −10.4840 2.02062i −0.493124 0.0950418i
\(453\) −6.14079 8.62353i −0.288520 0.405169i
\(454\) 9.76765 + 6.27729i 0.458419 + 0.294608i
\(455\) 5.34379 0.695908i 0.250521 0.0326247i
\(456\) 8.16889 5.24983i 0.382543 0.245846i
\(457\) −14.4572 + 2.78640i −0.676281 + 0.130342i −0.515816 0.856699i \(-0.672511\pi\)
−0.160464 + 0.987042i \(0.551299\pi\)
\(458\) 12.0904 + 11.5282i 0.564947 + 0.538676i
\(459\) −3.80383 6.58842i −0.177548 0.307521i
\(460\) 14.0866 + 5.68542i 0.656789 + 0.265084i
\(461\) 26.4986 1.23416 0.617081 0.786900i \(-0.288315\pi\)
0.617081 + 0.786900i \(0.288315\pi\)
\(462\) 0.400836 + 0.102906i 0.0186486 + 0.00478761i
\(463\) 21.4245 + 24.7252i 0.995681 + 1.14908i 0.988822 + 0.149100i \(0.0476377\pi\)
0.00685847 + 0.999976i \(0.497817\pi\)
\(464\) −0.0349396 0.733471i −0.00162203 0.0340506i
\(465\) −2.72753 + 2.14495i −0.126486 + 0.0994697i
\(466\) −0.306483 + 6.43387i −0.0141975 + 0.298043i
\(467\) −6.78680 9.53073i −0.314056 0.441029i 0.627132 0.778913i \(-0.284228\pi\)
−0.941188 + 0.337883i \(0.890289\pi\)
\(468\) −0.787427 + 0.908740i −0.0363988 + 0.0420065i
\(469\) −4.49821 + 5.56596i −0.207708 + 0.257012i
\(470\) 1.14989 + 2.51790i 0.0530403 + 0.116142i
\(471\) 15.2647 14.5549i 0.703362 0.670654i
\(472\) 4.10221 + 16.9095i 0.188820 + 0.778325i
\(473\) −0.203470 + 0.285734i −0.00935557 + 0.0131381i
\(474\) −1.59005 1.25043i −0.0730334 0.0574341i
\(475\) −0.867592 + 1.00125i −0.0398079 + 0.0459407i
\(476\) 24.8824 + 11.7658i 1.14048 + 0.539287i
\(477\) 8.90119 + 5.72045i 0.407558 + 0.261921i
\(478\) −19.8214 7.93528i −0.906609 0.362951i
\(479\) −14.6068 7.53032i −0.667401 0.344069i 0.0910062 0.995850i \(-0.470992\pi\)
−0.758407 + 0.651781i \(0.774022\pi\)
\(480\) 4.42248 12.7779i 0.201858 0.583230i
\(481\) −0.571088 + 2.35406i −0.0260394 + 0.107336i
\(482\) 12.3407 0.562101
\(483\) −12.3775 + 2.79237i −0.563196 + 0.127057i
\(484\) 14.9890 0.681319
\(485\) 4.68722 19.3210i 0.212836 0.877320i
\(486\) 0.260128 0.751589i 0.0117996 0.0340928i
\(487\) −22.4814 11.5900i −1.01873 0.525192i −0.133846 0.991002i \(-0.542733\pi\)
−0.884885 + 0.465810i \(0.845763\pi\)
\(488\) −34.3046 13.7335i −1.55289 0.621685i
\(489\) 11.9241 + 7.66314i 0.539226 + 0.346539i
\(490\) 5.66723 11.5838i 0.256019 0.523302i
\(491\) −7.80303 + 9.00517i −0.352146 + 0.406398i −0.903993 0.427547i \(-0.859378\pi\)
0.551847 + 0.833945i \(0.313923\pi\)
\(492\) 1.30641 + 1.02737i 0.0588973 + 0.0463174i
\(493\) −5.35774 + 7.52389i −0.241300 + 0.338859i
\(494\) 0.597798 + 2.46416i 0.0268962 + 0.110868i
\(495\) 0.329693 0.314362i 0.0148186 0.0141295i
\(496\) 0.376369 + 0.824133i 0.0168995 + 0.0370046i
\(497\) −0.823534 2.13912i −0.0369405 0.0959526i
\(498\) −6.92966 + 7.99725i −0.310526 + 0.358366i
\(499\) −0.563918 0.791912i −0.0252444 0.0354508i 0.801761 0.597645i \(-0.203897\pi\)
−0.827005 + 0.562194i \(0.809957\pi\)
\(500\) 0.698498 14.6633i 0.0312378 0.655762i
\(501\) −13.0068 + 10.2287i −0.581102 + 0.456984i
\(502\) −0.503735 10.5747i −0.0224828 0.471972i
\(503\) −19.4424 22.4378i −0.866896 1.00045i −0.999956 0.00934324i \(-0.997026\pi\)
0.133060 0.991108i \(-0.457520\pi\)
\(504\) 1.90574 + 6.82487i 0.0848882 + 0.304004i
\(505\) 22.5701 1.00436
\(506\) −0.667714 + 0.341857i −0.0296835 + 0.0151974i
\(507\) 6.11339 + 10.5887i 0.271505 + 0.470261i
\(508\) −18.3390 17.4862i −0.813661 0.775824i
\(509\) −15.3188 + 2.95246i −0.678994 + 0.130865i −0.517077 0.855939i \(-0.672980\pi\)
−0.161917 + 0.986804i \(0.551768\pi\)
\(510\) −11.7904 + 7.57722i −0.522087 + 0.335525i
\(511\) −8.95619 + 21.5368i −0.396199 + 0.952730i
\(512\) −5.69543 3.66023i −0.251705 0.161761i
\(513\) 2.10309 + 2.95337i 0.0928536 + 0.130395i
\(514\) −8.93087 1.72128i −0.393924 0.0759226i
\(515\) 41.0390 16.4295i 1.80839 0.723972i
\(516\) −2.42795 0.231842i −0.106885 0.0102063i
\(517\) 0.283527 + 0.0832509i 0.0124695 + 0.00366137i
\(518\) 3.94403 + 4.24811i 0.173291 + 0.186651i
\(519\) −5.24243 11.4793i −0.230117 0.503886i
\(520\) 4.28799 + 3.37211i 0.188041 + 0.147877i
\(521\) 19.6195 + 3.78135i 0.859546 + 0.165664i 0.599935 0.800049i \(-0.295193\pi\)
0.259612 + 0.965713i \(0.416405\pi\)
\(522\) −0.961252 + 0.0917885i −0.0420729 + 0.00401747i
\(523\) −0.354939 + 0.182984i −0.0155204 + 0.00800131i −0.465969 0.884801i \(-0.654294\pi\)
0.450449 + 0.892802i \(0.351264\pi\)
\(524\) −0.200025 1.39120i −0.00873812 0.0607750i
\(525\) −0.511818 0.820189i −0.0223376 0.0357960i
\(526\) −9.12880 10.5352i −0.398034 0.459356i
\(527\) 2.68680 11.0751i 0.117039 0.482440i
\(528\) −0.0594723 0.103009i −0.00258820 0.00448289i
\(529\) 13.4465 18.6599i 0.584629 0.811301i
\(530\) 9.74633 16.8811i 0.423354 0.733270i
\(531\) −6.23365 + 1.83036i −0.270517 + 0.0794311i
\(532\) −12.3378 4.45476i −0.534910 0.193139i
\(533\) −0.899070 + 0.577797i −0.0389430 + 0.0250272i
\(534\) −5.89377 2.35951i −0.255048 0.102106i
\(535\) −1.00323 + 21.0604i −0.0433735 + 0.910522i
\(536\) −7.21145 + 0.688610i −0.311487 + 0.0297434i
\(537\) 0.151176 + 0.436796i 0.00652374 + 0.0188491i
\(538\) 2.49551 17.3567i 0.107589 0.748300i
\(539\) −0.538375 1.26702i −0.0231894 0.0545746i
\(540\) 3.03916 + 0.892378i 0.130785 + 0.0384018i
\(541\) 12.8310 12.2343i 0.551646 0.525994i −0.362175 0.932110i \(-0.617966\pi\)
0.913821 + 0.406116i \(0.133117\pi\)
\(542\) −9.41086 + 13.2157i −0.404231 + 0.567663i
\(543\) −9.84553 + 3.94156i −0.422512 + 0.169148i
\(544\) 14.5250 + 41.9672i 0.622754 + 1.79933i
\(545\) −14.7809 + 32.3656i −0.633143 + 1.38639i
\(546\) −1.84690 0.112617i −0.0790399 0.00481957i
\(547\) 5.54058 + 38.5356i 0.236898 + 1.64766i 0.667128 + 0.744943i \(0.267523\pi\)
−0.430230 + 0.902719i \(0.641568\pi\)
\(548\) −0.251415 5.27786i −0.0107399 0.225459i
\(549\) 4.51254 13.0381i 0.192590 0.556453i
\(550\) −0.0413653 0.0394417i −0.00176382 0.00168180i
\(551\) 2.20098 3.81222i 0.0937651 0.162406i
\(552\) −10.7858 6.97455i −0.459075 0.296857i
\(553\) −0.0895026 + 6.72854i −0.00380604 + 0.286127i
\(554\) −3.20337 + 0.940594i −0.136098 + 0.0399620i
\(555\) 6.26563 1.20760i 0.265961 0.0512598i
\(556\) 8.15166 + 4.20247i 0.345707 + 0.178224i
\(557\) −3.33718 + 2.62439i −0.141401 + 0.111199i −0.686354 0.727268i \(-0.740790\pi\)
0.544953 + 0.838467i \(0.316547\pi\)
\(558\) 1.05897 0.545939i 0.0448300 0.0231115i
\(559\) 0.651530 1.42665i 0.0275568 0.0603409i
\(560\) −3.51848 + 1.16559i −0.148683 + 0.0492551i
\(561\) −0.212927 + 1.48094i −0.00898978 + 0.0625253i
\(562\) 22.3531 + 2.13446i 0.942909 + 0.0900369i
\(563\) −3.54146 14.5981i −0.149255 0.615237i −0.996467 0.0839824i \(-0.973236\pi\)
0.847212 0.531254i \(-0.178279\pi\)
\(564\) 0.484397 + 1.99671i 0.0203968 + 0.0840767i
\(565\) −18.0038 1.71916i −0.757427 0.0723255i
\(566\) 3.32498 23.1257i 0.139759 0.972047i
\(567\) −2.51153 + 0.832009i −0.105474 + 0.0349411i
\(568\) 0.963893 2.11063i 0.0404441 0.0885602i
\(569\) −40.7738 + 21.0203i −1.70933 + 0.881218i −0.728825 + 0.684700i \(0.759933\pi\)
−0.980500 + 0.196518i \(0.937037\pi\)
\(570\) 5.25036 4.12893i 0.219913 0.172942i
\(571\) 34.3443 + 17.7057i 1.43727 + 0.740962i 0.988291 0.152583i \(-0.0487591\pi\)
0.448974 + 0.893545i \(0.351789\pi\)
\(572\) 0.232205 0.0447538i 0.00970896 0.00187125i
\(573\) −5.39003 + 1.58266i −0.225172 + 0.0661164i
\(574\) −0.0340165 + 2.55726i −0.00141982 + 0.106738i
\(575\) 1.68006 + 0.498446i 0.0700634 + 0.0207867i
\(576\) −1.71657 + 2.97318i −0.0715237 + 0.123883i
\(577\) −25.8326 24.6313i −1.07542 1.02542i −0.999600 0.0282942i \(-0.990992\pi\)
−0.0758250 0.997121i \(-0.524159\pi\)
\(578\) 10.6331 30.7223i 0.442278 1.27788i
\(579\) −0.00311580 0.0654087i −0.000129488 0.00271829i
\(580\) −0.547296 3.80652i −0.0227252 0.158057i
\(581\) 35.1364 + 2.14249i 1.45770 + 0.0888857i
\(582\) −2.83580 + 6.20954i −0.117548 + 0.257394i
\(583\) −0.680595 1.96645i −0.0281874 0.0814420i
\(584\) −21.9199 + 8.77539i −0.907051 + 0.363128i
\(585\) −1.18147 + 1.65914i −0.0488478 + 0.0685972i
\(586\) 0.819732 0.781613i 0.0338628 0.0322881i
\(587\) −18.7670 5.51048i −0.774596 0.227442i −0.129537 0.991575i \(-0.541349\pi\)
−0.645059 + 0.764133i \(0.723167\pi\)
\(588\) 5.75781 7.64678i 0.237448 0.315348i
\(589\) −0.772953 + 5.37600i −0.0318490 + 0.221514i
\(590\) 3.91461 + 11.3105i 0.161162 + 0.465647i
\(591\) 1.29742 0.123888i 0.0533686 0.00509609i
\(592\) 0.0792759 1.66421i 0.00325822 0.0683984i
\(593\) −44.7119 17.8999i −1.83610 0.735063i −0.973309 0.229499i \(-0.926291\pi\)
−0.862789 0.505564i \(-0.831285\pi\)
\(594\) −0.131584 + 0.0845642i −0.00539898 + 0.00346971i
\(595\) 43.8522 + 15.8336i 1.79776 + 0.649114i
\(596\) −6.76062 + 1.98510i −0.276926 + 0.0813128i
\(597\) 9.06448 15.7001i 0.370984 0.642564i
\(598\) 2.64224 2.06588i 0.108049 0.0844803i
\(599\) −13.0637 22.6270i −0.533769 0.924514i −0.999222 0.0394418i \(-0.987442\pi\)
0.465453 0.885072i \(-0.345891\pi\)
\(600\) 0.230726 0.951067i 0.00941936 0.0388271i
\(601\) −14.7340 17.0039i −0.601011 0.693603i 0.370975 0.928643i \(-0.379024\pi\)
−0.971986 + 0.235039i \(0.924478\pi\)
\(602\) −1.98694 3.18408i −0.0809818 0.129773i
\(603\) −0.384941 2.67732i −0.0156760 0.109029i
\(604\) −12.8672 + 6.63353i −0.523561 + 0.269914i
\(605\) 25.2751 2.41348i 1.02758 0.0981220i
\(606\) −7.60958 1.46663i −0.309118 0.0595776i
\(607\) 28.9932 + 22.8005i 1.17680 + 0.925444i 0.998288 0.0584942i \(-0.0186299\pi\)
0.178510 + 0.983938i \(0.442872\pi\)
\(608\) −8.79217 19.2522i −0.356569 0.780778i
\(609\) 2.18559 + 2.35409i 0.0885644 + 0.0953926i
\(610\) −24.3879 7.16093i −0.987437 0.289938i
\(611\) −1.31523 0.125590i −0.0532086 0.00508081i
\(612\) −9.65788 + 3.86643i −0.390396 + 0.156291i
\(613\) 27.4724 + 5.29488i 1.10960 + 0.213858i 0.710948 0.703244i \(-0.248266\pi\)
0.398652 + 0.917102i \(0.369478\pi\)
\(614\) −9.66281 13.5695i −0.389959 0.547621i
\(615\) 2.36834 + 1.52204i 0.0955007 + 0.0613745i
\(616\) 0.535098 1.28674i 0.0215597 0.0518442i
\(617\) −38.7726 + 24.9177i −1.56093 + 1.00315i −0.578680 + 0.815554i \(0.696432\pi\)
−0.982247 + 0.187593i \(0.939932\pi\)
\(618\) −14.9040 + 2.87252i −0.599528 + 0.115550i
\(619\) 18.5609 + 17.6978i 0.746028 + 0.711336i 0.964376 0.264535i \(-0.0852185\pi\)
−0.218349 + 0.975871i \(0.570067\pi\)
\(620\) 2.37245 + 4.10921i 0.0952800 + 0.165030i
\(621\) 2.40959 4.14655i 0.0966934 0.166395i
\(622\) −14.3978 −0.577299
\(623\) 5.67986 + 20.3409i 0.227559 + 0.814940i
\(624\) 0.348270 + 0.401925i 0.0139419 + 0.0160899i
\(625\) −1.27013 26.6633i −0.0508052 1.06653i
\(626\) −5.91631 + 4.65264i −0.236463 + 0.185957i
\(627\) 0.0339280 0.712236i 0.00135495 0.0284440i
\(628\) −16.7298 23.4937i −0.667592 0.937502i
\(629\) −13.7241 + 15.8384i −0.547215 + 0.631520i
\(630\) 1.75119 + 4.54870i 0.0697692 + 0.181225i
\(631\) 7.01531 + 15.3614i 0.279275 + 0.611527i 0.996340 0.0854794i \(-0.0272422\pi\)
−0.717065 + 0.697006i \(0.754515\pi\)
\(632\) −4.92991 + 4.70066i −0.196101 + 0.186982i
\(633\) −2.19872 9.06325i −0.0873913 0.360232i
\(634\) 1.43137 2.01008i 0.0568471 0.0798305i
\(635\) −33.7395 26.5331i −1.33891 1.05293i
\(636\) 9.47503 10.9348i 0.375710 0.433592i
\(637\) 3.43579 + 5.10715i 0.136131 + 0.202353i
\(638\) 0.159759 + 0.102671i 0.00632491 + 0.00406477i
\(639\) 0.804299 + 0.321993i 0.0318176 + 0.0127378i
\(640\) −18.4153 9.49376i −0.727930 0.375274i
\(641\) 8.12354 23.4714i 0.320860 0.927065i −0.663077 0.748551i \(-0.730750\pi\)
0.983937 0.178514i \(-0.0571290\pi\)
\(642\) 1.70677 7.03540i 0.0673608 0.277665i
\(643\) 22.5143 0.887878 0.443939 0.896057i \(-0.353581\pi\)
0.443939 + 0.896057i \(0.353581\pi\)
\(644\) 1.37080 + 17.2967i 0.0540169 + 0.681586i
\(645\) −4.13145 −0.162676
\(646\) −5.17195 + 21.3191i −0.203488 + 0.838788i
\(647\) −10.1125 + 29.2183i −0.397565 + 1.14869i 0.551654 + 0.834073i \(0.313997\pi\)
−0.949219 + 0.314616i \(0.898124\pi\)
\(648\) −2.38051 1.22724i −0.0935154 0.0482105i
\(649\) 1.18618 + 0.474874i 0.0465616 + 0.0186404i
\(650\) 0.214984 + 0.138162i 0.00843236 + 0.00541915i
\(651\) −3.58299 1.69425i −0.140429 0.0664029i
\(652\) 12.6928 14.6483i 0.497089 0.573671i
\(653\) 26.0026 + 20.4487i 1.01756 + 0.800218i 0.979984 0.199076i \(-0.0637940\pi\)
0.0375758 + 0.999294i \(0.488036\pi\)
\(654\) 7.08656 9.95169i 0.277107 0.389142i
\(655\) −0.561297 2.31370i −0.0219317 0.0904037i
\(656\) 0.531998 0.507259i 0.0207710 0.0198051i
\(657\) −3.66227 8.01926i −0.142879 0.312861i
\(658\) −1.98731 + 2.45905i −0.0774736 + 0.0958636i
\(659\) −17.3228 + 19.9916i −0.674801 + 0.778761i −0.985119 0.171871i \(-0.945019\pi\)
0.310319 + 0.950633i \(0.399564\pi\)
\(660\) −0.361336 0.507426i −0.0140650 0.0197515i
\(661\) −0.768552 + 16.1339i −0.0298932 + 0.627536i 0.933360 + 0.358941i \(0.116862\pi\)
−0.963253 + 0.268595i \(0.913441\pi\)
\(662\) −20.5490 + 16.1599i −0.798658 + 0.628071i
\(663\) −0.318305 6.68205i −0.0123620 0.259509i
\(664\) 23.3353 + 26.9303i 0.905584 + 1.04510i
\(665\) −21.5217 5.52523i −0.834577 0.214259i
\(666\) −2.19095 −0.0848975
\(667\) −5.79475 0.569780i −0.224373 0.0220620i
\(668\) 11.3136 + 19.5957i 0.437735 + 0.758180i
\(669\) 4.36254 + 4.15967i 0.168666 + 0.160822i
\(670\) −4.89299 + 0.943046i −0.189033 + 0.0364330i
\(671\) −2.28265 + 1.46697i −0.0881206 + 0.0566317i
\(672\) 15.3152 1.99446i 0.590798 0.0769381i
\(673\) −8.52921 5.48139i −0.328777 0.211292i 0.365830 0.930682i \(-0.380785\pi\)
−0.694607 + 0.719390i \(0.744422\pi\)
\(674\) 0.471438 + 0.662042i 0.0181591 + 0.0255009i
\(675\) 0.358806 + 0.0691542i 0.0138104 + 0.00266175i
\(676\) 15.5218 6.21400i 0.596993 0.239000i
\(677\) −32.2784 3.08221i −1.24056 0.118459i −0.545932 0.837829i \(-0.683824\pi\)
−0.694627 + 0.719370i \(0.744430\pi\)
\(678\) 5.95833 + 1.74952i 0.228828 + 0.0671901i
\(679\) 22.1379 5.05980i 0.849576 0.194177i
\(680\) 19.6058 + 42.9306i 0.751847 + 1.64631i
\(681\) 11.4754 + 9.02433i 0.439737 + 0.345813i
\(682\) −0.230077 0.0443437i −0.00881011 0.00169801i
\(683\) −9.56875 + 0.913705i −0.366138 + 0.0349620i −0.276504 0.961013i \(-0.589176\pi\)
−0.0896343 + 0.995975i \(0.528570\pi\)
\(684\) 4.40675 2.27184i 0.168496 0.0868660i
\(685\) −1.27377 8.85926i −0.0486682 0.338495i
\(686\) 14.7293 0.113366i 0.562368 0.00432832i
\(687\) 13.7551 + 15.8742i 0.524788 + 0.605638i
\(688\) −0.254322 + 1.04833i −0.00969595 + 0.0399673i
\(689\) 4.65203 + 8.05755i 0.177228 + 0.306968i
\(690\) −7.84158 4.07057i −0.298524 0.154964i
\(691\) −10.3723 + 17.9653i −0.394580 + 0.683433i −0.993048 0.117714i \(-0.962443\pi\)
0.598467 + 0.801147i \(0.295777\pi\)
\(692\) −16.5578 + 4.86181i −0.629433 + 0.184818i
\(693\) 0.489405 + 0.176708i 0.0185909 + 0.00671259i
\(694\) −4.01114 + 2.57781i −0.152261 + 0.0978522i
\(695\) 14.4223 + 5.77383i 0.547070 + 0.219014i
\(696\) −0.154722 + 3.24801i −0.00586471 + 0.123115i
\(697\) −9.20440 + 0.878914i −0.348642 + 0.0332912i
\(698\) 1.26315 + 3.64963i 0.0478109 + 0.138140i
\(699\) −1.15257 + 8.01628i −0.0435941 + 0.303203i
\(700\) −1.20975 + 0.533145i −0.0457244 + 0.0201510i
\(701\) 17.4067 + 5.11108i 0.657443 + 0.193043i 0.593404 0.804905i \(-0.297784\pi\)
0.0640390 + 0.997947i \(0.479602\pi\)
\(702\) 0.506149 0.482612i 0.0191034 0.0182150i
\(703\) 5.79350 8.13584i 0.218506 0.306849i
\(704\) 0.626817 0.250940i 0.0236240 0.00945764i
\(705\) 1.13831 + 3.28894i 0.0428714 + 0.123869i
\(706\) −5.49163 + 12.0250i −0.206680 + 0.452566i
\(707\) 11.5072 + 23.0692i 0.432773 + 0.867606i
\(708\) 1.26433 + 8.79363i 0.0475165 + 0.330485i
\(709\) 1.51539 + 31.8120i 0.0569117 + 1.19472i 0.829015 + 0.559227i \(0.188902\pi\)
−0.772103 + 0.635497i \(0.780795\pi\)
\(710\) 0.522018 1.50827i 0.0195910 0.0566044i
\(711\) −1.84073 1.75513i −0.0690327 0.0658225i
\(712\) −10.6892 + 18.5142i −0.400593 + 0.693848i
\(713\) 6.89888 2.00464i 0.258365 0.0750742i
\(714\) −13.7560 8.18790i −0.514806 0.306424i
\(715\) 0.384347 0.112854i 0.0143738 0.00422052i
\(716\) 0.620635 0.119618i 0.0231942 0.00447032i
\(717\) −23.8609 12.3011i −0.891101 0.459395i
\(718\) 12.6705 9.96417i 0.472858 0.371859i
\(719\) −17.0359 + 8.78259i −0.635330 + 0.327535i −0.745627 0.666363i \(-0.767850\pi\)
0.110297 + 0.993899i \(0.464820\pi\)
\(720\) 0.581968 1.27433i 0.0216887 0.0474916i
\(721\) 37.7163 + 33.5700i 1.40463 + 1.25021i
\(722\) −0.662667 + 4.60895i −0.0246619 + 0.171527i
\(723\) 15.4461 + 1.47492i 0.574446 + 0.0548530i
\(724\) 3.41899 + 14.0933i 0.127066 + 0.523772i
\(725\) −0.104594 0.431143i −0.00388453 0.0160123i
\(726\) −8.67842 0.828688i −0.322086 0.0307555i
\(727\) 5.04150 35.0644i 0.186979 1.30047i −0.652797 0.757533i \(-0.726405\pi\)
0.839776 0.542933i \(-0.182686\pi\)
\(728\) −1.26047 + 6.10205i −0.0467163 + 0.226157i
\(729\) 0.415415 0.909632i 0.0153857 0.0336901i
\(730\) −14.4358 + 7.44215i −0.534292 + 0.275446i
\(731\) 10.6661 8.38788i 0.394498 0.310237i
\(732\) −16.7693 8.64517i −0.619811 0.319535i
\(733\) −1.32440 + 0.255257i −0.0489178 + 0.00942813i −0.213651 0.976910i \(-0.568536\pi\)
0.164734 + 0.986338i \(0.447324\pi\)
\(734\) 15.4824 4.54603i 0.571465 0.167797i
\(735\) 8.47781 13.8214i 0.312709 0.509811i
\(736\) −18.3927 + 21.1061i −0.677963 + 0.777980i
\(737\) −0.265977 + 0.460685i −0.00979737 + 0.0169695i
\(738\) −0.699589 0.667057i −0.0257522 0.0245547i
\(739\) −10.6388 + 30.7387i −0.391353 + 1.13074i 0.561544 + 0.827447i \(0.310208\pi\)
−0.952897 + 0.303294i \(0.901914\pi\)
\(740\) −0.415181 8.71572i −0.0152624 0.320396i
\(741\) 0.453720 + 3.15569i 0.0166678 + 0.115927i
\(742\) 22.2235 + 1.35511i 0.815851 + 0.0497477i
\(743\) 9.06072 19.8402i 0.332406 0.727867i −0.667454 0.744651i \(-0.732616\pi\)
0.999859 + 0.0167847i \(0.00534299\pi\)
\(744\) −1.31221 3.79138i −0.0481079 0.138999i
\(745\) −11.0804 + 4.43593i −0.405955 + 0.162520i
\(746\) 14.2233 19.9738i 0.520751 0.731292i
\(747\) −9.62927 + 9.18149i −0.352317 + 0.335933i
\(748\) 1.96306 + 0.576405i 0.0717764 + 0.0210755i
\(749\) −22.0376 + 9.71210i −0.805237 + 0.354873i
\(750\) −1.21510 + 8.45120i −0.0443691 + 0.308594i
\(751\) 9.38197 + 27.1074i 0.342353 + 0.989164i 0.976419 + 0.215885i \(0.0692636\pi\)
−0.634066 + 0.773279i \(0.718615\pi\)
\(752\) 0.904622 0.0863810i 0.0329882 0.00314999i
\(753\) 0.633364 13.2960i 0.0230811 0.484532i
\(754\) −0.788278 0.315579i −0.0287074 0.0114927i
\(755\) −20.6292 + 13.2576i −0.750773 + 0.482492i
\(756\) 0.637385 + 3.56134i 0.0231815 + 0.129525i
\(757\) 29.7137 8.72473i 1.07996 0.317106i 0.307099 0.951678i \(-0.400642\pi\)
0.772864 + 0.634572i \(0.218823\pi\)
\(758\) 12.7981 22.1669i 0.464847 0.805139i
\(759\) −0.876598 + 0.348080i −0.0318185 + 0.0126345i
\(760\) −11.2462 19.4791i −0.407944 0.706580i
\(761\) 6.37126 26.2627i 0.230958 0.952021i −0.731770 0.681551i \(-0.761306\pi\)
0.962728 0.270470i \(-0.0871792\pi\)
\(762\) 9.65124 + 11.1381i 0.349628 + 0.403492i
\(763\) −40.6172 + 1.39367i −1.47044 + 0.0504541i
\(764\) 1.09323 + 7.60356i 0.0395516 + 0.275087i
\(765\) −15.6630 + 8.07482i −0.566295 + 0.291946i
\(766\) −25.1892 + 2.40528i −0.910123 + 0.0869062i
\(767\) −5.60960 1.08116i −0.202551 0.0390385i
\(768\) 10.9891 + 8.64194i 0.396536 + 0.311839i
\(769\) −5.89285 12.9036i −0.212502 0.465314i 0.773125 0.634254i \(-0.218693\pi\)
−0.985626 + 0.168940i \(0.945965\pi\)
\(770\) 0.282273 0.916077i 0.0101724 0.0330131i
\(771\) −10.9725 3.22183i −0.395166 0.116031i
\(772\) −0.0891389 0.00851173i −0.00320818