Properties

Label 483.2.y.b.163.2
Level $483$
Weight $2$
Character 483.163
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [483,2,Mod(4,483)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(483, base_ring=CyclotomicField(66))
 
chi = DirichletCharacter(H, H._module([0, 44, 12]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("483.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
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 163.2
Character \(\chi\) \(=\) 483.163
Dual form 483.2.y.b.403.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-2.18671 + 1.12733i) q^{2} +(-0.786053 + 0.618159i) q^{3} +(2.35073 - 3.30114i) q^{4} +(0.783022 - 0.746610i) q^{5} +(1.02200 - 2.23788i) q^{6} +(-0.0385801 - 2.64547i) q^{7} +(-0.718661 + 4.99839i) q^{8} +(0.235759 - 0.971812i) q^{9} +O(q^{10})\) \(q+(-2.18671 + 1.12733i) q^{2} +(-0.786053 + 0.618159i) q^{3} +(2.35073 - 3.30114i) q^{4} +(0.783022 - 0.746610i) q^{5} +(1.02200 - 2.23788i) q^{6} +(-0.0385801 - 2.64547i) q^{7} +(-0.718661 + 4.99839i) q^{8} +(0.235759 - 0.971812i) q^{9} +(-0.870570 + 2.51535i) q^{10} +(3.13518 + 1.61630i) q^{11} +(0.192830 + 4.04800i) q^{12} +(-3.33830 - 3.85260i) q^{13} +(3.06668 + 5.74140i) q^{14} +(-0.153973 + 1.07091i) q^{15} +(-1.41239 - 4.08082i) q^{16} +(-2.34139 + 0.223576i) q^{17} +(0.580015 + 2.39085i) q^{18} +(-7.58230 - 0.724022i) q^{19} +(-0.623990 - 4.33995i) q^{20} +(1.66565 + 2.05563i) q^{21} -8.67784 q^{22} +(-4.78936 - 0.249029i) q^{23} +(-2.52490 - 4.37325i) q^{24} +(-0.182213 + 3.82511i) q^{25} +(11.6431 + 4.66118i) q^{26} +(0.415415 + 0.909632i) q^{27} +(-8.82377 - 6.09144i) q^{28} +(-4.23447 + 9.27219i) q^{29} +(-0.870570 - 2.51535i) q^{30} +(4.20038 - 1.68158i) q^{31} +(0.379500 + 0.361853i) q^{32} +(-3.46354 + 0.667543i) q^{33} +(4.86791 - 3.12841i) q^{34} +(-2.00534 - 2.04266i) q^{35} +(-2.65388 - 3.06275i) q^{36} +(2.35915 - 9.72455i) q^{37} +(17.3965 - 6.96452i) q^{38} +(5.00560 + 0.964750i) q^{39} +(3.16912 + 4.45041i) q^{40} +(-8.43987 - 2.47817i) q^{41} +(-5.95967 - 2.61735i) q^{42} +(0.770158 + 5.35656i) q^{43} +(12.7056 - 6.55019i) q^{44} +(-0.540960 - 0.936969i) q^{45} +(10.7537 - 4.85463i) q^{46} +(4.18642 - 7.25110i) q^{47} +(3.63281 + 2.33466i) q^{48} +(-6.99702 + 0.204125i) q^{49} +(-3.91372 - 8.56985i) q^{50} +(1.70225 - 1.62309i) q^{51} +(-20.5654 + 1.96376i) q^{52} +(-5.43670 - 1.04784i) q^{53} +(-1.93385 - 1.52080i) q^{54} +(3.66165 - 1.07516i) q^{55} +(13.2508 + 1.70836i) q^{56} +(6.40765 - 4.11795i) q^{57} +(-1.19324 - 25.0493i) q^{58} +(0.454364 - 1.31280i) q^{59} +(3.17327 + 3.02571i) q^{60} +(-0.773585 - 0.608354i) q^{61} +(-7.28934 + 8.41235i) q^{62} +(-2.57999 - 0.586201i) q^{63} +(7.04902 + 2.06978i) q^{64} +(-5.49035 - 0.524265i) q^{65} +(6.82124 - 5.36428i) q^{66} +(0.195028 - 4.09414i) q^{67} +(-4.76593 + 8.25483i) q^{68} +(3.91863 - 2.76484i) q^{69} +(6.68786 + 2.20602i) q^{70} +(-1.44062 - 0.925829i) q^{71} +(4.68807 + 1.87682i) q^{72} +(0.181887 - 0.255425i) q^{73} +(5.80398 + 23.9243i) q^{74} +(-2.22130 - 3.11938i) q^{75} +(-20.2141 + 23.3283i) q^{76} +(4.15491 - 8.35637i) q^{77} +(-12.0334 + 3.53333i) q^{78} +(3.13395 - 0.604019i) q^{79} +(-4.15271 - 2.14087i) q^{80} +(-0.888835 - 0.458227i) q^{81} +(21.2493 - 4.09547i) q^{82} +(-4.53728 + 1.33227i) q^{83} +(10.7014 - 0.666299i) q^{84} +(-1.66643 + 1.92317i) q^{85} +(-7.72273 - 10.8451i) q^{86} +(-2.40317 - 9.90601i) q^{87} +(-10.3320 + 14.5093i) q^{88} +(8.48291 + 3.39605i) q^{89} +(2.23920 + 1.43904i) q^{90} +(-10.0631 + 8.98000i) q^{91} +(-12.0806 + 15.2250i) q^{92} +(-2.26224 + 3.91831i) q^{93} +(-0.980135 + 20.5756i) q^{94} +(-6.47766 + 5.09409i) q^{95} +(-0.521990 - 0.0498440i) q^{96} +(-7.28892 - 2.14022i) q^{97} +(15.0704 - 8.33432i) q^{98} +(2.30988 - 2.66575i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 2 q^{2} + 16 q^{3} + 18 q^{4} - 2 q^{5} + 18 q^{6} + 2 q^{7} - 12 q^{8} + 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q + 2 q^{2} + 16 q^{3} + 18 q^{4} - 2 q^{5} + 18 q^{6} + 2 q^{7} - 12 q^{8} + 16 q^{9} + 2 q^{11} + 18 q^{12} + 18 q^{14} - 18 q^{15} - 8 q^{16} + 4 q^{17} + 2 q^{18} + 8 q^{19} - 162 q^{20} - 4 q^{21} + 144 q^{22} - 26 q^{23} + 6 q^{24} - 8 q^{25} - 14 q^{26} - 32 q^{27} + 86 q^{28} - 74 q^{29} - 56 q^{31} - 28 q^{32} + 13 q^{33} + 40 q^{34} - 32 q^{35} - 14 q^{36} + 2 q^{37} - 39 q^{38} - 52 q^{40} + 60 q^{41} - 61 q^{42} + 16 q^{43} - 75 q^{44} - 2 q^{45} - 4 q^{46} - 40 q^{47} - 28 q^{48} - 100 q^{49} + 146 q^{50} - 18 q^{51} - 18 q^{52} + 34 q^{53} + 2 q^{54} + 36 q^{55} - 102 q^{56} + 28 q^{57} - 17 q^{58} - 102 q^{59} - 18 q^{60} - 18 q^{61} - 88 q^{62} + 2 q^{63} - 252 q^{64} - 78 q^{65} + 16 q^{66} + 12 q^{67} + 34 q^{68} + 8 q^{69} + 264 q^{70} + 160 q^{71} + 6 q^{72} - 8 q^{73} + 70 q^{74} + 14 q^{75} - 40 q^{76} - 90 q^{77} - 16 q^{78} + 26 q^{79} - 103 q^{80} + 16 q^{81} - 30 q^{82} - 80 q^{83} - 52 q^{84} - 128 q^{85} + 90 q^{86} + 4 q^{87} - 293 q^{88} - 36 q^{89} + 16 q^{91} - 174 q^{92} + 32 q^{93} + 57 q^{94} - 85 q^{95} - 50 q^{96} - 8 q^{97} - 193 q^{98} - 26 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.18671 + 1.12733i −1.54624 + 0.797143i −0.999201 0.0399642i \(-0.987276\pi\)
−0.547040 + 0.837107i \(0.684245\pi\)
\(3\) −0.786053 + 0.618159i −0.453828 + 0.356894i
\(4\) 2.35073 3.30114i 1.17537 1.65057i
\(5\) 0.783022 0.746610i 0.350178 0.333894i −0.494491 0.869183i \(-0.664646\pi\)
0.844669 + 0.535289i \(0.179797\pi\)
\(6\) 1.02200 2.23788i 0.417232 0.913610i
\(7\) −0.0385801 2.64547i −0.0145819 0.999894i
\(8\) −0.718661 + 4.99839i −0.254085 + 1.76720i
\(9\) 0.235759 0.971812i 0.0785863 0.323937i
\(10\) −0.870570 + 2.51535i −0.275298 + 0.795422i
\(11\) 3.13518 + 1.61630i 0.945291 + 0.487332i 0.860716 0.509085i \(-0.170016\pi\)
0.0845755 + 0.996417i \(0.473047\pi\)
\(12\) 0.192830 + 4.04800i 0.0556653 + 1.16856i
\(13\) −3.33830 3.85260i −0.925877 1.06852i −0.997470 0.0710854i \(-0.977354\pi\)
0.0715929 0.997434i \(-0.477192\pi\)
\(14\) 3.06668 + 5.74140i 0.819605 + 1.53445i
\(15\) −0.153973 + 1.07091i −0.0397557 + 0.276507i
\(16\) −1.41239 4.08082i −0.353096 1.02021i
\(17\) −2.34139 + 0.223576i −0.567870 + 0.0542250i −0.375043 0.927008i \(-0.622372\pi\)
−0.192828 + 0.981233i \(0.561766\pi\)
\(18\) 0.580015 + 2.39085i 0.136711 + 0.563529i
\(19\) −7.58230 0.724022i −1.73950 0.166102i −0.823509 0.567304i \(-0.807986\pi\)
−0.915990 + 0.401202i \(0.868593\pi\)
\(20\) −0.623990 4.33995i −0.139529 0.970442i
\(21\) 1.66565 + 2.05563i 0.363474 + 0.448576i
\(22\) −8.67784 −1.85012
\(23\) −4.78936 0.249029i −0.998651 0.0519261i
\(24\) −2.52490 4.37325i −0.515392 0.892686i
\(25\) −0.182213 + 3.82511i −0.0364425 + 0.765023i
\(26\) 11.6431 + 4.66118i 2.28339 + 0.914132i
\(27\) 0.415415 + 0.909632i 0.0799467 + 0.175059i
\(28\) −8.82377 6.09144i −1.66754 1.15117i
\(29\) −4.23447 + 9.27219i −0.786321 + 1.72180i −0.0994275 + 0.995045i \(0.531701\pi\)
−0.686894 + 0.726758i \(0.741026\pi\)
\(30\) −0.870570 2.51535i −0.158944 0.459237i
\(31\) 4.20038 1.68158i 0.754411 0.302021i 0.0376044 0.999293i \(-0.488027\pi\)
0.716806 + 0.697272i \(0.245603\pi\)
\(32\) 0.379500 + 0.361853i 0.0670868 + 0.0639671i
\(33\) −3.46354 + 0.667543i −0.602926 + 0.116204i
\(34\) 4.86791 3.12841i 0.834839 0.536519i
\(35\) −2.00534 2.04266i −0.338965 0.345272i
\(36\) −2.65388 3.06275i −0.442314 0.510458i
\(37\) 2.35915 9.72455i 0.387842 1.59871i −0.358757 0.933431i \(-0.616799\pi\)
0.746599 0.665275i \(-0.231685\pi\)
\(38\) 17.3965 6.96452i 2.82209 1.12979i
\(39\) 5.00560 + 0.964750i 0.801537 + 0.154484i
\(40\) 3.16912 + 4.45041i 0.501082 + 0.703672i
\(41\) −8.43987 2.47817i −1.31809 0.387025i −0.454285 0.890857i \(-0.650105\pi\)
−0.863802 + 0.503831i \(0.831923\pi\)
\(42\) −5.95967 2.61735i −0.919597 0.403865i
\(43\) 0.770158 + 5.35656i 0.117448 + 0.816868i 0.960349 + 0.278800i \(0.0899366\pi\)
−0.842901 + 0.538068i \(0.819154\pi\)
\(44\) 12.7056 6.55019i 1.91544 0.987478i
\(45\) −0.540960 0.936969i −0.0806415 0.139675i
\(46\) 10.7537 4.85463i 1.58555 0.715777i
\(47\) 4.18642 7.25110i 0.610653 1.05768i −0.380478 0.924790i \(-0.624240\pi\)
0.991131 0.132891i \(-0.0424262\pi\)
\(48\) 3.63281 + 2.33466i 0.524350 + 0.336980i
\(49\) −6.99702 + 0.204125i −0.999575 + 0.0291607i
\(50\) −3.91372 8.56985i −0.553483 1.21196i
\(51\) 1.70225 1.62309i 0.238363 0.227278i
\(52\) −20.5654 + 1.96376i −2.85191 + 0.272325i
\(53\) −5.43670 1.04784i −0.746788 0.143932i −0.198360 0.980129i \(-0.563561\pi\)
−0.548428 + 0.836198i \(0.684774\pi\)
\(54\) −1.93385 1.52080i −0.263164 0.206954i
\(55\) 3.66165 1.07516i 0.493737 0.144974i
\(56\) 13.2508 + 1.70836i 1.77072 + 0.228289i
\(57\) 6.40765 4.11795i 0.848714 0.545435i
\(58\) −1.19324 25.0493i −0.156681 3.28913i
\(59\) 0.454364 1.31280i 0.0591532 0.170912i −0.911552 0.411184i \(-0.865115\pi\)
0.970706 + 0.240272i \(0.0772366\pi\)
\(60\) 3.17327 + 3.02571i 0.409667 + 0.390617i
\(61\) −0.773585 0.608354i −0.0990475 0.0778918i 0.567407 0.823437i \(-0.307947\pi\)
−0.666455 + 0.745546i \(0.732189\pi\)
\(62\) −7.28934 + 8.41235i −0.925747 + 1.06837i
\(63\) −2.57999 0.586201i −0.325049 0.0738543i
\(64\) 7.04902 + 2.06978i 0.881127 + 0.258722i
\(65\) −5.49035 0.524265i −0.680994 0.0650270i
\(66\) 6.82124 5.36428i 0.839637 0.660298i
\(67\) 0.195028 4.09414i 0.0238265 0.500179i −0.955140 0.296156i \(-0.904295\pi\)
0.978966 0.204023i \(-0.0654018\pi\)
\(68\) −4.76593 + 8.25483i −0.577954 + 1.00105i
\(69\) 3.91863 2.76484i 0.471748 0.332847i
\(70\) 6.68786 + 2.20602i 0.799352 + 0.263670i
\(71\) −1.44062 0.925829i −0.170970 0.109876i 0.452357 0.891837i \(-0.350583\pi\)
−0.623327 + 0.781961i \(0.714220\pi\)
\(72\) 4.68807 + 1.87682i 0.552494 + 0.221185i
\(73\) 0.181887 0.255425i 0.0212883 0.0298952i −0.803795 0.594907i \(-0.797189\pi\)
0.825083 + 0.565012i \(0.191128\pi\)
\(74\) 5.80398 + 23.9243i 0.674699 + 2.78115i
\(75\) −2.22130 3.11938i −0.256494 0.360195i
\(76\) −20.2141 + 23.3283i −2.31871 + 2.67594i
\(77\) 4.15491 8.35637i 0.473496 0.952297i
\(78\) −12.0334 + 3.53333i −1.36252 + 0.400071i
\(79\) 3.13395 0.604019i 0.352597 0.0679575i −0.00987752 0.999951i \(-0.503144\pi\)
0.362474 + 0.931994i \(0.381932\pi\)
\(80\) −4.15271 2.14087i −0.464287 0.239357i
\(81\) −0.888835 0.458227i −0.0987595 0.0509141i
\(82\) 21.2493 4.09547i 2.34659 0.452269i
\(83\) −4.53728 + 1.33227i −0.498031 + 0.146235i −0.521095 0.853499i \(-0.674476\pi\)
0.0230634 + 0.999734i \(0.492658\pi\)
\(84\) 10.7014 0.666299i 1.16762 0.0726992i
\(85\) −1.66643 + 1.92317i −0.180750 + 0.208597i
\(86\) −7.72273 10.8451i −0.832763 1.16945i
\(87\) −2.40317 9.90601i −0.257647 1.06204i
\(88\) −10.3320 + 14.5093i −1.10140 + 1.54669i
\(89\) 8.48291 + 3.39605i 0.899187 + 0.359980i 0.774765 0.632249i \(-0.217868\pi\)
0.124422 + 0.992229i \(0.460292\pi\)
\(90\) 2.23920 + 1.43904i 0.236032 + 0.151689i
\(91\) −10.0631 + 8.98000i −1.05490 + 0.941360i
\(92\) −12.0806 + 15.2250i −1.25949 + 1.58731i
\(93\) −2.26224 + 3.91831i −0.234583 + 0.406310i
\(94\) −0.980135 + 20.5756i −0.101093 + 2.12221i
\(95\) −6.47766 + 5.09409i −0.664594 + 0.522643i
\(96\) −0.521990 0.0498440i −0.0532753 0.00508718i
\(97\) −7.28892 2.14022i −0.740078 0.217306i −0.110101 0.993920i \(-0.535117\pi\)
−0.629977 + 0.776614i \(0.716936\pi\)
\(98\) 15.0704 8.33432i 1.52234 0.841893i
\(99\) 2.30988 2.66575i 0.232152 0.267917i
\(100\) 12.1989 + 9.59334i 1.21989 + 0.959334i
\(101\) −0.245062 0.233666i −0.0243846 0.0232506i 0.677789 0.735257i \(-0.262938\pi\)
−0.702173 + 0.712006i \(0.747787\pi\)
\(102\) −1.89258 + 5.46824i −0.187393 + 0.541436i
\(103\) 0.491113 + 10.3097i 0.0483908 + 1.01585i 0.884282 + 0.466952i \(0.154648\pi\)
−0.835892 + 0.548894i \(0.815049\pi\)
\(104\) 21.6559 13.9174i 2.12354 1.36471i
\(105\) 2.83899 + 0.366016i 0.277057 + 0.0357195i
\(106\) 13.0698 3.83763i 1.26945 0.372743i
\(107\) −2.86133 2.25017i −0.276615 0.217532i 0.470207 0.882556i \(-0.344179\pi\)
−0.746822 + 0.665024i \(0.768422\pi\)
\(108\) 3.97936 + 0.766958i 0.382914 + 0.0738006i
\(109\) −16.4895 + 1.57455i −1.57940 + 0.150815i −0.847576 0.530675i \(-0.821939\pi\)
−0.731828 + 0.681489i \(0.761333\pi\)
\(110\) −6.79493 + 6.47896i −0.647872 + 0.617744i
\(111\) 4.15690 + 9.10234i 0.394555 + 0.863956i
\(112\) −10.7412 + 3.89386i −1.01495 + 0.367935i
\(113\) −10.9617 7.04464i −1.03119 0.662704i −0.0883954 0.996085i \(-0.528174\pi\)
−0.942792 + 0.333382i \(0.891810\pi\)
\(114\) −9.36942 + 16.2283i −0.877526 + 1.51992i
\(115\) −3.93610 + 3.38079i −0.367043 + 0.315260i
\(116\) 20.6547 + 35.7751i 1.91774 + 3.32163i
\(117\) −4.53104 + 2.33591i −0.418894 + 0.215955i
\(118\) 0.486393 + 3.38294i 0.0447761 + 0.311424i
\(119\) 0.681793 + 6.18545i 0.0624999 + 0.567019i
\(120\) −5.24216 1.53924i −0.478541 0.140512i
\(121\) 0.836296 + 1.17441i 0.0760269 + 0.106765i
\(122\) 2.37743 + 0.458211i 0.215242 + 0.0414845i
\(123\) 8.16609 3.26921i 0.736312 0.294775i
\(124\) 4.32285 17.8190i 0.388203 1.60019i
\(125\) 6.25572 + 7.21949i 0.559529 + 0.645731i
\(126\) 6.30255 1.62665i 0.561476 0.144914i
\(127\) 8.37297 5.38098i 0.742981 0.477485i −0.113581 0.993529i \(-0.536232\pi\)
0.856562 + 0.516044i \(0.172596\pi\)
\(128\) −18.7773 + 3.61903i −1.65969 + 0.319880i
\(129\) −3.91659 3.73446i −0.344837 0.328801i
\(130\) 12.5968 5.04302i 1.10482 0.442302i
\(131\) −7.09747 20.5068i −0.620109 1.79169i −0.610873 0.791729i \(-0.709181\pi\)
−0.00923595 0.999957i \(-0.502940\pi\)
\(132\) −5.93821 + 13.0029i −0.516855 + 1.13176i
\(133\) −1.62285 + 20.0867i −0.140719 + 1.74174i
\(134\) 4.18898 + 9.17258i 0.361873 + 0.792390i
\(135\) 1.00442 + 0.402109i 0.0864466 + 0.0346080i
\(136\) 0.565145 11.8639i 0.0484608 1.01732i
\(137\) −2.32403 4.02534i −0.198556 0.343908i 0.749505 0.661999i \(-0.230292\pi\)
−0.948060 + 0.318091i \(0.896958\pi\)
\(138\) −5.45205 + 10.4635i −0.464109 + 0.890712i
\(139\) 15.1472 1.28477 0.642384 0.766383i \(-0.277946\pi\)
0.642384 + 0.766383i \(0.277946\pi\)
\(140\) −11.4571 + 1.81818i −0.968304 + 0.153665i
\(141\) 1.19158 + 8.28762i 0.100349 + 0.697944i
\(142\) 4.19393 + 0.400472i 0.351947 + 0.0336069i
\(143\) −4.23921 17.4743i −0.354501 1.46127i
\(144\) −4.29877 + 0.410483i −0.358231 + 0.0342069i
\(145\) 3.60703 + 10.4218i 0.299547 + 0.865485i
\(146\) −0.109787 + 0.763588i −0.00908607 + 0.0631950i
\(147\) 5.37385 4.48573i 0.443228 0.369976i
\(148\) −26.5564 30.6477i −2.18292 2.51923i
\(149\) 0.771465 + 16.1950i 0.0632009 + 1.32675i 0.778373 + 0.627802i \(0.216045\pi\)
−0.715172 + 0.698948i \(0.753652\pi\)
\(150\) 8.37392 + 4.31705i 0.683727 + 0.352486i
\(151\) 4.85505 14.0277i 0.395098 1.14156i −0.555601 0.831449i \(-0.687512\pi\)
0.950700 0.310113i \(-0.100367\pi\)
\(152\) 9.06804 37.3790i 0.735515 3.03184i
\(153\) −0.334730 + 2.32810i −0.0270613 + 0.188216i
\(154\) 0.334792 + 22.9570i 0.0269783 + 1.84992i
\(155\) 2.03351 4.45276i 0.163335 0.357654i
\(156\) 14.9516 14.2563i 1.19709 1.14142i
\(157\) −1.22407 + 1.71897i −0.0976918 + 0.137189i −0.860529 0.509402i \(-0.829867\pi\)
0.762837 + 0.646591i \(0.223806\pi\)
\(158\) −6.17212 + 4.85381i −0.491028 + 0.386149i
\(159\) 4.92126 2.53709i 0.390282 0.201204i
\(160\) 0.567319 0.0448505
\(161\) −0.474025 + 12.6797i −0.0373584 + 0.999302i
\(162\) 2.46020 0.193292
\(163\) 0.350754 0.180827i 0.0274732 0.0141634i −0.444435 0.895811i \(-0.646596\pi\)
0.471908 + 0.881648i \(0.343565\pi\)
\(164\) −28.0207 + 22.0357i −2.18805 + 1.72070i
\(165\) −2.21364 + 3.10862i −0.172331 + 0.242005i
\(166\) 8.41984 8.02830i 0.653506 0.623117i
\(167\) −3.68393 + 8.06667i −0.285071 + 0.624218i −0.996947 0.0780875i \(-0.975119\pi\)
0.711876 + 0.702305i \(0.247846\pi\)
\(168\) −11.4719 + 6.84826i −0.885075 + 0.528355i
\(169\) −1.84821 + 12.8546i −0.142170 + 0.988814i
\(170\) 1.47597 6.08404i 0.113202 0.466625i
\(171\) −2.49121 + 7.19787i −0.190507 + 0.550435i
\(172\) 19.4932 + 10.0495i 1.48634 + 0.766264i
\(173\) −0.0937569 1.96820i −0.00712820 0.149639i −0.999625 0.0273715i \(-0.991286\pi\)
0.992497 0.122268i \(-0.0390167\pi\)
\(174\) 16.4224 + 18.9524i 1.24498 + 1.43678i
\(175\) 10.1263 + 0.334465i 0.765473 + 0.0252832i
\(176\) 2.16774 15.0769i 0.163399 1.13647i
\(177\) 0.454364 + 1.31280i 0.0341521 + 0.0986760i
\(178\) −22.3782 + 2.13686i −1.67732 + 0.160164i
\(179\) −3.08964 12.7357i −0.230930 0.951908i −0.962746 0.270406i \(-0.912842\pi\)
0.731816 0.681502i \(-0.238673\pi\)
\(180\) −4.36472 0.416781i −0.325327 0.0310650i
\(181\) −1.79548 12.4878i −0.133457 0.928211i −0.941001 0.338404i \(-0.890113\pi\)
0.807544 0.589807i \(-0.200796\pi\)
\(182\) 11.8818 30.9812i 0.880739 2.29648i
\(183\) 0.984139 0.0727496
\(184\) 4.68667 23.7601i 0.345506 1.75162i
\(185\) −5.41317 9.37589i −0.397985 0.689329i
\(186\) 0.529641 11.1185i 0.0388351 0.815250i
\(187\) −7.70203 3.08343i −0.563229 0.225483i
\(188\) −14.0958 30.8654i −1.02804 2.25109i
\(189\) 2.39038 1.13406i 0.173874 0.0824908i
\(190\) 8.42208 18.4418i 0.611002 1.33791i
\(191\) −4.30638 12.4425i −0.311599 0.900306i −0.986696 0.162577i \(-0.948019\pi\)
0.675097 0.737729i \(-0.264102\pi\)
\(192\) −6.82036 + 2.73046i −0.492217 + 0.197054i
\(193\) 5.11234 + 4.87460i 0.367994 + 0.350882i 0.851402 0.524513i \(-0.175753\pi\)
−0.483408 + 0.875395i \(0.660601\pi\)
\(194\) 18.3515 3.53697i 1.31756 0.253939i
\(195\) 4.63978 2.98181i 0.332262 0.213532i
\(196\) −15.7743 + 23.5780i −1.12674 + 1.68415i
\(197\) 12.2691 + 14.1593i 0.874138 + 1.00881i 0.999860 + 0.0167434i \(0.00532983\pi\)
−0.125722 + 0.992066i \(0.540125\pi\)
\(198\) −2.04588 + 8.43322i −0.145394 + 0.599323i
\(199\) 21.2276 8.49823i 1.50478 0.602424i 0.534665 0.845064i \(-0.320438\pi\)
0.970116 + 0.242641i \(0.0780136\pi\)
\(200\) −18.9885 3.65973i −1.34269 0.258782i
\(201\) 2.37753 + 3.33877i 0.167698 + 0.235499i
\(202\) 0.799299 + 0.234695i 0.0562385 + 0.0165131i
\(203\) 24.6927 + 10.8444i 1.73309 + 0.761130i
\(204\) −1.35652 9.43484i −0.0949757 0.660571i
\(205\) −8.45883 + 4.36083i −0.590790 + 0.304574i
\(206\) −12.6964 21.9908i −0.884599 1.53217i
\(207\) −1.37114 + 4.59565i −0.0953011 + 0.319419i
\(208\) −11.0068 + 19.0644i −0.763185 + 1.32188i
\(209\) −22.6016 14.5252i −1.56339 1.00473i
\(210\) −6.62069 + 2.40011i −0.456871 + 0.165623i
\(211\) 5.73829 + 12.5651i 0.395040 + 0.865018i 0.997749 + 0.0670567i \(0.0213608\pi\)
−0.602709 + 0.797961i \(0.705912\pi\)
\(212\) −16.2393 + 15.4841i −1.11532 + 1.06345i
\(213\) 1.70471 0.162780i 0.116805 0.0111535i
\(214\) 8.79359 + 1.69483i 0.601118 + 0.115856i
\(215\) 4.60231 + 3.61930i 0.313875 + 0.246834i
\(216\) −4.84524 + 1.42269i −0.329677 + 0.0968019i
\(217\) −4.61062 11.0471i −0.312989 0.749927i
\(218\) 34.2827 22.0322i 2.32192 1.49221i
\(219\) 0.0149202 + 0.313213i 0.00100821 + 0.0211650i
\(220\) 5.05832 14.6151i 0.341032 0.985347i
\(221\) 8.67760 + 8.27408i 0.583719 + 0.556575i
\(222\) −19.3513 15.2180i −1.29877 1.02137i
\(223\) −0.251491 + 0.290236i −0.0168411 + 0.0194357i −0.764108 0.645089i \(-0.776820\pi\)
0.747267 + 0.664524i \(0.231366\pi\)
\(224\) 0.942629 1.01792i 0.0629820 0.0680124i
\(225\) 3.67433 + 1.07888i 0.244955 + 0.0719254i
\(226\) 31.9117 + 3.04720i 2.12273 + 0.202696i
\(227\) 6.67155 5.24656i 0.442806 0.348227i −0.371728 0.928342i \(-0.621235\pi\)
0.814535 + 0.580115i \(0.196992\pi\)
\(228\) 1.46875 30.8328i 0.0972701 2.04195i
\(229\) 6.41406 11.1095i 0.423853 0.734135i −0.572460 0.819933i \(-0.694011\pi\)
0.996313 + 0.0857980i \(0.0273440\pi\)
\(230\) 4.79587 11.8301i 0.316230 0.780054i
\(231\) 1.89959 + 9.13695i 0.124984 + 0.601167i
\(232\) −43.3029 27.8291i −2.84298 1.82707i
\(233\) 15.2107 + 6.08946i 0.996488 + 0.398934i 0.811846 0.583872i \(-0.198463\pi\)
0.184643 + 0.982806i \(0.440887\pi\)
\(234\) 7.27474 10.2159i 0.475565 0.667837i
\(235\) −2.13568 8.80339i −0.139316 0.574270i
\(236\) −3.26565 4.58596i −0.212576 0.298521i
\(237\) −2.09007 + 2.41207i −0.135765 + 0.156681i
\(238\) −8.46393 12.7572i −0.548635 0.826927i
\(239\) 9.36530 2.74990i 0.605791 0.177876i 0.0355694 0.999367i \(-0.488676\pi\)
0.570222 + 0.821491i \(0.306857\pi\)
\(240\) 4.58765 0.884197i 0.296131 0.0570746i
\(241\) −8.79060 4.53187i −0.566253 0.291923i 0.151232 0.988498i \(-0.451676\pi\)
−0.717484 + 0.696575i \(0.754706\pi\)
\(242\) −3.15269 1.62533i −0.202663 0.104480i
\(243\) 0.981929 0.189251i 0.0629908 0.0121405i
\(244\) −3.82676 + 1.12364i −0.244983 + 0.0719336i
\(245\) −5.32642 + 5.38388i −0.340292 + 0.343963i
\(246\) −14.1714 + 16.3547i −0.903538 + 1.04274i
\(247\) 22.5226 + 31.6286i 1.43308 + 2.01248i
\(248\) 5.38655 + 22.2036i 0.342046 + 1.40993i
\(249\) 2.74299 3.85199i 0.173830 0.244110i
\(250\) −21.8182 8.73470i −1.37991 0.552431i
\(251\) −5.47877 3.52099i −0.345817 0.222243i 0.356189 0.934414i \(-0.384076\pi\)
−0.702006 + 0.712171i \(0.747712\pi\)
\(252\) −8.00001 + 7.13893i −0.503954 + 0.449710i
\(253\) −14.6130 8.52178i −0.918711 0.535760i
\(254\) −12.2432 + 21.2058i −0.768204 + 1.33057i
\(255\) 0.121082 2.54183i 0.00758248 0.159176i
\(256\) 25.4311 19.9992i 1.58944 1.24995i
\(257\) −19.1809 1.83155i −1.19647 0.114249i −0.522259 0.852787i \(-0.674911\pi\)
−0.674212 + 0.738537i \(0.735517\pi\)
\(258\) 12.7744 + 3.75091i 0.795302 + 0.233522i
\(259\) −25.8170 5.86588i −1.60419 0.364488i
\(260\) −14.6370 + 16.8920i −0.907750 + 1.04760i
\(261\) 8.01251 + 6.30111i 0.495962 + 0.390029i
\(262\) 38.6380 + 36.8413i 2.38707 + 2.27606i
\(263\) −2.19035 + 6.32861i −0.135063 + 0.390239i −0.992169 0.124901i \(-0.960139\pi\)
0.857106 + 0.515140i \(0.172260\pi\)
\(264\) −0.847532 17.7919i −0.0521620 1.09502i
\(265\) −5.03938 + 3.23861i −0.309566 + 0.198946i
\(266\) −19.0956 45.7533i −1.17083 2.80532i
\(267\) −8.76732 + 2.57432i −0.536551 + 0.157546i
\(268\) −13.0569 10.2681i −0.797577 0.627221i
\(269\) −4.34275 0.836997i −0.264782 0.0510326i 0.0551320 0.998479i \(-0.482442\pi\)
−0.319914 + 0.947446i \(0.603654\pi\)
\(270\) −2.64969 + 0.253014i −0.161255 + 0.0153980i
\(271\) 23.0383 21.9670i 1.39948 1.33440i 0.523523 0.852012i \(-0.324617\pi\)
0.875957 0.482389i \(-0.160231\pi\)
\(272\) 4.21932 + 9.23901i 0.255834 + 0.560198i
\(273\) 2.35910 13.2794i 0.142779 0.803705i
\(274\) 9.61989 + 6.18233i 0.581159 + 0.373488i
\(275\) −6.75379 + 11.6979i −0.407269 + 0.705410i
\(276\) 0.0845368 19.4354i 0.00508852 1.16987i
\(277\) 4.65884 + 8.06935i 0.279923 + 0.484840i 0.971365 0.237591i \(-0.0763578\pi\)
−0.691443 + 0.722431i \(0.743024\pi\)
\(278\) −33.1226 + 17.0759i −1.98656 + 1.02414i
\(279\) −0.643901 4.47843i −0.0385493 0.268116i
\(280\) 11.6512 8.55552i 0.696290 0.511290i
\(281\) 5.23390 + 1.53681i 0.312228 + 0.0916785i 0.434093 0.900868i \(-0.357069\pi\)
−0.121864 + 0.992547i \(0.538887\pi\)
\(282\) −11.9485 16.7794i −0.711525 0.999197i
\(283\) −20.0451 3.86338i −1.19156 0.229654i −0.445344 0.895360i \(-0.646918\pi\)
−0.746214 + 0.665706i \(0.768131\pi\)
\(284\) −6.44280 + 2.57931i −0.382310 + 0.153054i
\(285\) 1.94283 8.00845i 0.115083 0.474380i
\(286\) 28.9692 + 33.4322i 1.71298 + 1.97689i
\(287\) −6.23031 + 22.4230i −0.367764 + 1.32359i
\(288\) 0.441123 0.283493i 0.0259934 0.0167050i
\(289\) −11.2607 + 2.17032i −0.662392 + 0.127666i
\(290\) −19.6364 18.7232i −1.15309 1.09947i
\(291\) 7.05248 2.82339i 0.413423 0.165510i
\(292\) −0.415626 1.20087i −0.0243227 0.0702757i
\(293\) 0.631022 1.38175i 0.0368647 0.0807225i −0.890304 0.455367i \(-0.849508\pi\)
0.927168 + 0.374645i \(0.122235\pi\)
\(294\) −6.69418 + 15.8671i −0.390413 + 0.925388i
\(295\) −0.624372 1.36718i −0.0363523 0.0796005i
\(296\) 46.9117 + 18.7806i 2.72669 + 1.09160i
\(297\) −0.167835 + 3.52329i −0.00973878 + 0.204442i
\(298\) −19.9441 34.5442i −1.15533 2.00109i
\(299\) 15.0289 + 19.2828i 0.869144 + 1.11516i
\(300\) −15.5192 −0.896002
\(301\) 14.1409 2.24409i 0.815069 0.129347i
\(302\) 5.19729 + 36.1479i 0.299070 + 2.08008i
\(303\) 0.337074 + 0.0321867i 0.0193644 + 0.00184908i
\(304\) 7.75453 + 31.9646i 0.444753 + 1.83329i
\(305\) −1.05994 + 0.101212i −0.0606918 + 0.00579537i
\(306\) −1.89258 5.46824i −0.108191 0.312598i
\(307\) −2.28859 + 15.9175i −0.130617 + 0.908458i 0.814136 + 0.580674i \(0.197211\pi\)
−0.944753 + 0.327784i \(0.893698\pi\)
\(308\) −17.8185 33.3596i −1.01530 1.90084i
\(309\) −6.75909 7.80040i −0.384511 0.443749i
\(310\) 0.573028 + 12.0293i 0.0325458 + 0.683221i
\(311\) 20.4657 + 10.5508i 1.16051 + 0.598282i 0.927364 0.374160i \(-0.122069\pi\)
0.233142 + 0.972443i \(0.425099\pi\)
\(312\) −8.41953 + 24.3266i −0.476662 + 1.37722i
\(313\) −5.26565 + 21.7053i −0.297632 + 1.22686i 0.604924 + 0.796283i \(0.293204\pi\)
−0.902556 + 0.430573i \(0.858312\pi\)
\(314\) 0.738854 5.13884i 0.0416959 0.290001i
\(315\) −2.45785 + 1.46724i −0.138484 + 0.0826696i
\(316\) 5.37313 11.7655i 0.302262 0.661862i
\(317\) −2.08909 + 1.99194i −0.117335 + 0.111879i −0.746475 0.665413i \(-0.768255\pi\)
0.629141 + 0.777292i \(0.283407\pi\)
\(318\) −7.90126 + 11.0958i −0.443081 + 0.622220i
\(319\) −28.2624 + 22.2258i −1.58239 + 1.24441i
\(320\) 7.06485 3.64218i 0.394937 0.203604i
\(321\) 3.64012 0.203172
\(322\) −13.2577 28.2613i −0.738821 1.57494i
\(323\) 17.9150 0.996816
\(324\) −3.60209 + 1.85701i −0.200116 + 0.103167i
\(325\) 15.3449 12.0674i 0.851183 0.669378i
\(326\) −0.563149 + 0.790832i −0.0311899 + 0.0438001i
\(327\) 11.9883 11.4308i 0.662953 0.632124i
\(328\) 18.4523 40.4048i 1.01886 2.23098i
\(329\) −19.3441 10.7953i −1.06647 0.595165i
\(330\) 1.33615 9.29315i 0.0735528 0.511571i
\(331\) −4.25155 + 17.5251i −0.233687 + 0.963269i 0.727222 + 0.686403i \(0.240811\pi\)
−0.960908 + 0.276867i \(0.910704\pi\)
\(332\) −6.26794 + 18.1100i −0.343998 + 0.993917i
\(333\) −8.89424 4.58530i −0.487401 0.251273i
\(334\) −1.03811 21.7925i −0.0568026 1.19243i
\(335\) −2.90401 3.35141i −0.158663 0.183107i
\(336\) 6.03613 9.70055i 0.329298 0.529208i
\(337\) 2.58359 17.9692i 0.140737 0.978847i −0.789987 0.613124i \(-0.789913\pi\)
0.930724 0.365723i \(-0.119178\pi\)
\(338\) −10.4498 30.1928i −0.568397 1.64227i
\(339\) 12.9712 1.23860i 0.704497 0.0672713i
\(340\) 2.43131 + 10.0220i 0.131856 + 0.543519i
\(341\) 15.8869 + 1.51701i 0.860322 + 0.0821508i
\(342\) −2.66681 18.5481i −0.144205 1.00297i
\(343\) 0.809953 + 18.5025i 0.0437333 + 0.999043i
\(344\) −27.3277 −1.47341
\(345\) 1.00412 5.09062i 0.0540600 0.274070i
\(346\) 2.42383 + 4.19820i 0.130306 + 0.225696i
\(347\) −0.338991 + 7.11630i −0.0181980 + 0.382023i 0.971335 + 0.237715i \(0.0763986\pi\)
−0.989533 + 0.144308i \(0.953904\pi\)
\(348\) −38.3504 15.3532i −2.05580 0.823017i
\(349\) −9.98495 21.8640i −0.534482 1.17035i −0.963660 0.267132i \(-0.913924\pi\)
0.429178 0.903220i \(-0.358803\pi\)
\(350\) −22.5203 + 10.6842i −1.20376 + 0.571097i
\(351\) 2.11767 4.63705i 0.113033 0.247507i
\(352\) 0.604939 + 1.74786i 0.0322434 + 0.0931610i
\(353\) 10.5218 4.21229i 0.560018 0.224198i −0.0743450 0.997233i \(-0.523687\pi\)
0.634363 + 0.773035i \(0.281262\pi\)
\(354\) −2.47352 2.35850i −0.131466 0.125353i
\(355\) −1.81927 + 0.350635i −0.0965567 + 0.0186098i
\(356\) 31.1519 20.0201i 1.65105 1.06106i
\(357\) −4.35952 4.44063i −0.230730 0.235023i
\(358\) 21.1134 + 24.3662i 1.11588 + 1.28779i
\(359\) 5.92040 24.4042i 0.312467 1.28801i −0.571557 0.820562i \(-0.693660\pi\)
0.884023 0.467443i \(-0.154825\pi\)
\(360\) 5.07211 2.03057i 0.267324 0.107020i
\(361\) 38.3104 + 7.38372i 2.01634 + 0.388617i
\(362\) 18.0041 + 25.2832i 0.946273 + 1.32885i
\(363\) −1.38335 0.406187i −0.0726069 0.0213193i
\(364\) 5.98849 + 54.3295i 0.313882 + 2.84764i
\(365\) −0.0482810 0.335802i −0.00252715 0.0175767i
\(366\) −2.15203 + 1.10945i −0.112488 + 0.0579918i
\(367\) 1.01822 + 1.76362i 0.0531509 + 0.0920601i 0.891377 0.453263i \(-0.149740\pi\)
−0.838226 + 0.545323i \(0.816407\pi\)
\(368\) 5.74818 + 19.8963i 0.299645 + 1.03716i
\(369\) −4.39809 + 7.61771i −0.228955 + 0.396562i
\(370\) 22.4068 + 14.4000i 1.16487 + 0.748619i
\(371\) −2.56227 + 14.4230i −0.133027 + 0.748807i
\(372\) 7.61700 + 16.6789i 0.394923 + 0.864761i
\(373\) −14.3720 + 13.7037i −0.744153 + 0.709548i −0.963975 0.265992i \(-0.914301\pi\)
0.219822 + 0.975540i \(0.429452\pi\)
\(374\) 20.3182 1.94015i 1.05063 0.100323i
\(375\) −9.38012 1.80787i −0.484387 0.0933580i
\(376\) 33.2352 + 26.1365i 1.71398 + 1.34789i
\(377\) 49.8580 14.6396i 2.56782 0.753979i
\(378\) −3.94861 + 5.17461i −0.203095 + 0.266153i
\(379\) 15.6775 10.0753i 0.805299 0.517534i −0.0720418 0.997402i \(-0.522952\pi\)
0.877341 + 0.479867i \(0.159315\pi\)
\(380\) 1.58906 + 33.3586i 0.0815173 + 1.71126i
\(381\) −3.25530 + 9.40557i −0.166774 + 0.481862i
\(382\) 23.4436 + 22.3534i 1.19948 + 1.14370i
\(383\) −4.59446 3.61312i −0.234766 0.184622i 0.493845 0.869550i \(-0.335591\pi\)
−0.728611 + 0.684928i \(0.759834\pi\)
\(384\) 12.5228 14.4521i 0.639052 0.737506i
\(385\) −2.98557 9.64532i −0.152159 0.491571i
\(386\) −16.6745 4.89608i −0.848710 0.249204i
\(387\) 5.38714 + 0.514410i 0.273844 + 0.0261489i
\(388\) −24.1995 + 19.0307i −1.22854 + 0.966137i
\(389\) −0.213405 + 4.47993i −0.0108201 + 0.227141i 0.986980 + 0.160844i \(0.0514216\pi\)
−0.997800 + 0.0662973i \(0.978881\pi\)
\(390\) −6.78440 + 11.7509i −0.343542 + 0.595032i
\(391\) 11.2694 0.487710i 0.569920 0.0246646i
\(392\) 4.00819 35.1206i 0.202444 1.77386i
\(393\) 18.2554 + 11.7321i 0.920865 + 0.591804i
\(394\) −42.7912 17.1310i −2.15579 0.863049i
\(395\) 2.00298 2.81280i 0.100781 0.141527i
\(396\) −3.37009 13.8917i −0.169354 0.698085i
\(397\) 6.49993 + 9.12788i 0.326222 + 0.458115i 0.944819 0.327594i \(-0.106238\pi\)
−0.618596 + 0.785709i \(0.712298\pi\)
\(398\) −36.8383 + 42.5137i −1.84654 + 2.13102i
\(399\) −11.1411 16.7924i −0.557753 0.840670i
\(400\) 15.8670 4.65896i 0.793348 0.232948i
\(401\) 18.0796 3.48456i 0.902853 0.174011i 0.283361 0.959013i \(-0.408551\pi\)
0.619492 + 0.785003i \(0.287338\pi\)
\(402\) −8.96287 4.62068i −0.447027 0.230459i
\(403\) −20.5006 10.5688i −1.02121 0.526469i
\(404\) −1.34744 + 0.259698i −0.0670377 + 0.0129205i
\(405\) −1.03809 + 0.304812i −0.0515833 + 0.0151462i
\(406\) −66.2211 + 4.12310i −3.28650 + 0.204626i
\(407\) 23.1141 26.6751i 1.14572 1.32224i
\(408\) 6.88952 + 9.67497i 0.341082 + 0.478983i
\(409\) −0.238184 0.981809i −0.0117775 0.0485473i 0.965620 0.259959i \(-0.0837091\pi\)
−0.977397 + 0.211412i \(0.932194\pi\)
\(410\) 13.5810 19.0718i 0.670715 0.941888i
\(411\) 4.31512 + 1.72751i 0.212849 + 0.0852119i
\(412\) 35.1884 + 22.6142i 1.73361 + 1.11412i
\(413\) −3.49050 1.15136i −0.171756 0.0566547i
\(414\) −2.18251 11.5951i −0.107264 0.569868i
\(415\) −2.55811 + 4.43077i −0.125573 + 0.217498i
\(416\) 0.127189 2.67003i 0.00623597 0.130909i
\(417\) −11.9065 + 9.36337i −0.583063 + 0.458526i
\(418\) 65.7979 + 6.28294i 3.21828 + 0.307309i
\(419\) −5.79132 1.70049i −0.282925 0.0830742i 0.137191 0.990545i \(-0.456192\pi\)
−0.420116 + 0.907470i \(0.638011\pi\)
\(420\) 7.88199 8.51152i 0.384602 0.415320i
\(421\) −17.1538 + 19.7966i −0.836027 + 0.964827i −0.999765 0.0216768i \(-0.993100\pi\)
0.163738 + 0.986504i \(0.447645\pi\)
\(422\) −26.7130 21.0074i −1.30037 1.02262i
\(423\) −6.05971 5.77793i −0.294633 0.280932i
\(424\) 9.14464 26.4217i 0.444103 1.28315i
\(425\) −0.428571 8.99682i −0.0207888 0.436410i
\(426\) −3.54421 + 2.27773i −0.171718 + 0.110356i
\(427\) −1.57954 + 2.06997i −0.0764392 + 0.100173i
\(428\) −14.1544 + 4.15610i −0.684177 + 0.200893i
\(429\) 14.1341 + 11.1152i 0.682402 + 0.536647i
\(430\) −14.1441 2.72605i −0.682088 0.131462i
\(431\) −9.62495 + 0.919071i −0.463617 + 0.0442701i −0.324252 0.945971i \(-0.605112\pi\)
−0.139366 + 0.990241i \(0.544506\pi\)
\(432\) 3.12532 2.97999i 0.150367 0.143375i
\(433\) −5.71560 12.5154i −0.274674 0.601453i 0.721146 0.692783i \(-0.243616\pi\)
−0.995821 + 0.0913297i \(0.970888\pi\)
\(434\) 22.5358 + 18.9592i 1.08176 + 0.910070i
\(435\) −9.27766 5.96239i −0.444830 0.285875i
\(436\) −33.5645 + 58.1354i −1.60745 + 2.78418i
\(437\) 36.1341 + 5.35581i 1.72853 + 0.256203i
\(438\) −0.385720 0.668087i −0.0184304 0.0319224i
\(439\) −9.37164 + 4.83142i −0.447284 + 0.230591i −0.667126 0.744944i \(-0.732476\pi\)
0.219843 + 0.975535i \(0.429446\pi\)
\(440\) 2.74258 + 19.0751i 0.130747 + 0.909368i
\(441\) −1.45124 + 6.84791i −0.0691067 + 0.326091i
\(442\) −28.3031 8.31053i −1.34624 0.395291i
\(443\) −5.33888 7.49741i −0.253658 0.356213i 0.668037 0.744128i \(-0.267135\pi\)
−0.921695 + 0.387915i \(0.873195\pi\)
\(444\) 39.8199 + 7.67466i 1.88977 + 0.364223i
\(445\) 9.17783 3.67425i 0.435071 0.174176i
\(446\) 0.222747 0.918177i 0.0105474 0.0434770i
\(447\) −10.6175 12.2533i −0.502192 0.579560i
\(448\) 5.20359 18.7278i 0.245846 0.884806i
\(449\) −18.6005 + 11.9538i −0.877810 + 0.564134i −0.900132 0.435617i \(-0.856530\pi\)
0.0223223 + 0.999751i \(0.492894\pi\)
\(450\) −9.25097 + 1.78298i −0.436095 + 0.0840504i
\(451\) −22.4550 21.4108i −1.05737 1.00820i
\(452\) −49.0234 + 19.6260i −2.30586 + 0.923129i
\(453\) 4.85505 + 14.0277i 0.228110 + 0.659081i
\(454\) −8.67417 + 18.9938i −0.407099 + 0.891422i
\(455\) −1.17511 + 14.5448i −0.0550899 + 0.681870i
\(456\) 15.9782 + 34.9874i 0.748247 + 1.63843i
\(457\) −4.21531 1.68756i −0.197184 0.0789405i 0.270969 0.962588i \(-0.412656\pi\)
−0.468153 + 0.883648i \(0.655080\pi\)
\(458\) −1.50167 + 31.5240i −0.0701686 + 1.47302i
\(459\) −1.17602 2.03693i −0.0548919 0.0950756i
\(460\) 1.90774 + 20.9410i 0.0889490 + 0.976378i
\(461\) −28.1495 −1.31105 −0.655526 0.755173i \(-0.727553\pi\)
−0.655526 + 0.755173i \(0.727553\pi\)
\(462\) −14.4542 17.8384i −0.672471 0.829919i
\(463\) −0.700211 4.87007i −0.0325415 0.226331i 0.967060 0.254547i \(-0.0819265\pi\)
−0.999602 + 0.0282160i \(0.991017\pi\)
\(464\) 43.8189 + 4.18419i 2.03424 + 0.194246i
\(465\) 1.15407 + 4.75714i 0.0535186 + 0.220607i
\(466\) −40.1264 + 3.83160i −1.85882 + 0.177496i
\(467\) 7.34230 + 21.2142i 0.339761 + 0.981676i 0.977411 + 0.211349i \(0.0677857\pi\)
−0.637649 + 0.770327i \(0.720093\pi\)
\(468\) −2.94008 + 20.4487i −0.135905 + 0.945242i
\(469\) −10.8385 0.357988i −0.500473 0.0165304i
\(470\) 14.5944 + 16.8429i 0.673192 + 0.776905i
\(471\) −0.100411 2.10788i −0.00462667 0.0971258i
\(472\) 6.23535 + 3.21455i 0.287005 + 0.147962i
\(473\) −6.24321 + 18.0386i −0.287063 + 0.829415i
\(474\) 1.85119 7.63071i 0.0850280 0.350490i
\(475\) 4.15105 28.8712i 0.190463 1.32470i
\(476\) 22.0218 + 12.2897i 1.00937 + 0.563295i
\(477\) −2.30005 + 5.03641i −0.105312 + 0.230601i
\(478\) −17.3792 + 16.5710i −0.794906 + 0.757941i
\(479\) 9.26174 13.0063i 0.423180 0.594273i −0.546858 0.837225i \(-0.684176\pi\)
0.970038 + 0.242952i \(0.0781158\pi\)
\(480\) −0.445943 + 0.350694i −0.0203544 + 0.0160069i
\(481\) −45.3403 + 23.3746i −2.06734 + 1.06579i
\(482\) 24.3315 1.10827
\(483\) −7.46547 10.2600i −0.339691 0.466844i
\(484\) 5.84282 0.265583
\(485\) −7.30529 + 3.76614i −0.331716 + 0.171012i
\(486\) −1.93385 + 1.52080i −0.0877212 + 0.0689847i
\(487\) −0.472496 + 0.663528i −0.0214109 + 0.0300673i −0.825143 0.564924i \(-0.808905\pi\)
0.803732 + 0.594992i \(0.202845\pi\)
\(488\) 3.59674 3.42948i 0.162817 0.155245i
\(489\) −0.163932 + 0.358961i −0.00741327 + 0.0162328i
\(490\) 5.57795 17.7776i 0.251986 0.803112i
\(491\) −3.42021 + 23.7881i −0.154352 + 1.07354i 0.754464 + 0.656342i \(0.227897\pi\)
−0.908816 + 0.417198i \(0.863012\pi\)
\(492\) 8.40418 34.6425i 0.378890 1.56180i
\(493\) 7.84150 22.6565i 0.353164 1.02040i
\(494\) −84.9063 43.7723i −3.82012 1.96941i
\(495\) −0.181584 3.81192i −0.00816159 0.171333i
\(496\) −12.7948 14.7660i −0.574503 0.663011i
\(497\) −2.39367 + 3.84683i −0.107371 + 0.172554i
\(498\) −1.65567 + 11.5155i −0.0741925 + 0.516020i
\(499\) 9.07391 + 26.2173i 0.406204 + 1.17365i 0.943820 + 0.330460i \(0.107204\pi\)
−0.537616 + 0.843190i \(0.680675\pi\)
\(500\) 38.5381 3.67994i 1.72348 0.164572i
\(501\) −2.09073 8.61809i −0.0934067 0.385028i
\(502\) 15.9498 + 1.52302i 0.711876 + 0.0679759i
\(503\) −1.71484 11.9270i −0.0764611 0.531799i −0.991669 0.128816i \(-0.958882\pi\)
0.915207 0.402983i \(-0.132027\pi\)
\(504\) 4.78420 12.4745i 0.213105 0.555660i
\(505\) −0.366346 −0.0163022
\(506\) 41.5613 + 2.16103i 1.84762 + 0.0960696i
\(507\) −6.49339 11.2469i −0.288381 0.499491i
\(508\) 1.91923 40.2897i 0.0851522 1.78756i
\(509\) −7.05879 2.82591i −0.312875 0.125256i 0.209910 0.977721i \(-0.432683\pi\)
−0.522785 + 0.852464i \(0.675107\pi\)
\(510\) 2.60071 + 5.69477i 0.115161 + 0.252168i
\(511\) −0.682736 0.471323i −0.0302025 0.0208501i
\(512\) −17.1770 + 37.6123i −0.759122 + 1.66224i
\(513\) −2.49121 7.19787i −0.109989 0.317794i
\(514\) 44.0079 17.6181i 1.94111 0.777102i
\(515\) 8.08189 + 7.70607i 0.356131 + 0.339570i
\(516\) −21.5349 + 4.15051i −0.948020 + 0.182716i
\(517\) 24.8451 15.9670i 1.09269 0.702227i
\(518\) 63.0672 16.2773i 2.77101 0.715182i
\(519\) 1.29036 + 1.48915i 0.0566404 + 0.0653665i
\(520\) 6.56618 27.0662i 0.287946 1.18693i
\(521\) 20.6378 8.26211i 0.904156 0.361970i 0.127459 0.991844i \(-0.459318\pi\)
0.776697 + 0.629874i \(0.216894\pi\)
\(522\) −24.6245 4.74598i −1.07778 0.207726i
\(523\) −0.802633 1.12714i −0.0350967 0.0492864i 0.796655 0.604435i \(-0.206601\pi\)
−0.831751 + 0.555148i \(0.812662\pi\)
\(524\) −84.3801 24.7762i −3.68616 1.08236i
\(525\) −8.16653 + 5.99673i −0.356416 + 0.261719i
\(526\) −2.34475 16.3081i −0.102236 0.711067i
\(527\) −9.45877 + 4.87633i −0.412030 + 0.212416i
\(528\) 7.61598 + 13.1913i 0.331443 + 0.574076i
\(529\) 22.8760 + 2.38538i 0.994607 + 0.103712i
\(530\) 7.36870 12.7630i 0.320076 0.554387i
\(531\) −1.16867 0.751061i −0.0507161 0.0325933i
\(532\) 62.4941 + 52.5757i 2.70946 + 2.27945i
\(533\) 18.6274 + 40.7883i 0.806843 + 1.76674i
\(534\) 16.2695 15.5130i 0.704051 0.671311i
\(535\) −3.92048 + 0.374361i −0.169497 + 0.0161850i
\(536\) 20.3240 + 3.91713i 0.877862 + 0.169194i
\(537\) 10.3013 + 8.10102i 0.444533 + 0.349585i
\(538\) 10.4399 3.06544i 0.450098 0.132161i
\(539\) −22.2668 10.6693i −0.959100 0.459559i
\(540\) 3.68854 2.37048i 0.158730 0.102009i
\(541\) −1.02259 21.4668i −0.0439645 0.922929i −0.907864 0.419265i \(-0.862288\pi\)
0.863899 0.503664i \(-0.168015\pi\)
\(542\) −25.6142 + 74.0074i −1.10022 + 3.17889i
\(543\) 9.13079 + 8.70619i 0.391840 + 0.373618i
\(544\) −0.969459 0.762391i −0.0415652 0.0326872i
\(545\) −11.7360 + 13.5441i −0.502716 + 0.580165i
\(546\) 9.81156 + 31.6977i 0.419896 + 1.35654i
\(547\) 24.0427 + 7.05958i 1.02799 + 0.301846i 0.751894 0.659284i \(-0.229140\pi\)
0.276098 + 0.961129i \(0.410959\pi\)
\(548\) −18.7514 1.79054i −0.801021 0.0764883i
\(549\) −0.773585 + 0.608354i −0.0330158 + 0.0259639i
\(550\) 1.58121 33.1937i 0.0674231 1.41538i
\(551\) 38.8203 67.2387i 1.65380 2.86446i
\(552\) 11.0036 + 21.5738i 0.468343 + 0.918244i
\(553\) −1.71882 8.26747i −0.0730918 0.351568i
\(554\) −19.2844 12.3933i −0.819315 0.526542i
\(555\) 10.0508 + 4.02375i 0.426634 + 0.170799i
\(556\) 35.6070 50.0031i 1.51007 2.12060i
\(557\) −1.14813 4.73264i −0.0486476 0.200528i 0.942302 0.334765i \(-0.108657\pi\)
−0.990949 + 0.134237i \(0.957142\pi\)
\(558\) 6.45669 + 9.06715i 0.273334 + 0.383843i
\(559\) 18.0657 20.8489i 0.764097 0.881815i
\(560\) −5.50340 + 11.0685i −0.232561 + 0.467728i
\(561\) 7.96026 2.33734i 0.336082 0.0986827i
\(562\) −13.1775 + 2.53976i −0.555861 + 0.107133i
\(563\) −2.47475 1.27582i −0.104298 0.0537695i 0.405288 0.914189i \(-0.367171\pi\)
−0.509586 + 0.860420i \(0.670202\pi\)
\(564\) 30.1597 + 15.5484i 1.26995 + 0.654707i
\(565\) −13.8428 + 2.66799i −0.582372 + 0.112243i
\(566\) 48.1882 14.1493i 2.02550 0.594741i
\(567\) −1.17793 + 2.36907i −0.0494685 + 0.0994914i
\(568\) 5.66297 6.53542i 0.237613 0.274220i
\(569\) −18.8043 26.4069i −0.788316 1.10703i −0.991780 0.127952i \(-0.959160\pi\)
0.203465 0.979082i \(-0.434780\pi\)
\(570\) 4.77975 + 19.7024i 0.200202 + 0.825243i
\(571\) 14.6283 20.5426i 0.612175 0.859680i −0.385846 0.922563i \(-0.626090\pi\)
0.998021 + 0.0628834i \(0.0200296\pi\)
\(572\) −67.6503 27.0831i −2.82860 1.13240i
\(573\) 11.0765 + 7.11842i 0.462726 + 0.297376i
\(574\) −11.6542 56.0564i −0.486439 2.33975i
\(575\) 1.82525 18.2745i 0.0761180 0.762098i
\(576\) 3.67330 6.36235i 0.153054 0.265098i
\(577\) 1.54890 32.5154i 0.0644816 1.35364i −0.702370 0.711812i \(-0.747875\pi\)
0.766852 0.641824i \(-0.221822\pi\)
\(578\) 22.1772 17.4404i 0.922450 0.725423i
\(579\) −7.03185 0.671460i −0.292234 0.0279049i
\(580\) 42.8831 + 12.5916i 1.78062 + 0.522838i
\(581\) 3.69952 + 11.9518i 0.153482 + 0.495846i
\(582\) −12.2389 + 14.1244i −0.507317 + 0.585475i
\(583\) −15.3514 12.0725i −0.635790 0.499991i
\(584\) 1.14600 + 1.09271i 0.0474218 + 0.0452166i
\(585\) −1.80389 + 5.21198i −0.0745815 + 0.215489i
\(586\) 0.177818 + 3.73285i 0.00734558 + 0.154203i
\(587\) 26.7935 17.2191i 1.10589 0.710710i 0.145494 0.989359i \(-0.453523\pi\)
0.960393 + 0.278649i \(0.0898866\pi\)
\(588\) −2.17554 28.2846i −0.0897176 1.16644i
\(589\) −33.0660 + 9.70907i −1.36246 + 0.400055i
\(590\) 2.90659 + 2.28577i 0.119662 + 0.0941035i
\(591\) −18.3969 3.54571i −0.756746 0.145851i
\(592\) −43.0162 + 4.10754i −1.76795 + 0.168819i
\(593\) −30.7359 + 29.3067i −1.26217 + 1.20348i −0.293274 + 0.956029i \(0.594745\pi\)
−0.968900 + 0.247452i \(0.920407\pi\)
\(594\) −3.60490 7.89364i −0.147911 0.323880i
\(595\) 5.15198 + 4.33431i 0.211210 + 0.177689i
\(596\) 55.2757 + 35.5235i 2.26418 + 1.45510i
\(597\) −11.4327 + 19.8021i −0.467910 + 0.810444i
\(598\) −54.6020 25.2235i −2.23284 1.03147i
\(599\) −1.01472 1.75755i −0.0414605 0.0718116i 0.844551 0.535476i \(-0.179868\pi\)
−0.886011 + 0.463664i \(0.846534\pi\)
\(600\) 17.1882 8.86116i 0.701707 0.361755i
\(601\) 0.159810 + 1.11150i 0.00651878 + 0.0453391i 0.992821 0.119608i \(-0.0381638\pi\)
−0.986302 + 0.164947i \(0.947255\pi\)
\(602\) −28.3923 + 20.8486i −1.15718 + 0.849727i
\(603\) −3.93276 1.15476i −0.160154 0.0470255i
\(604\) −34.8947 49.0027i −1.41984 1.99389i
\(605\) 1.53167 + 0.295205i 0.0622711 + 0.0120018i
\(606\) −0.773370 + 0.309611i −0.0314160 + 0.0125771i
\(607\) −2.14620 + 8.84677i −0.0871117 + 0.359079i −0.998639 0.0521608i \(-0.983389\pi\)
0.911527 + 0.411240i \(0.134904\pi\)
\(608\) −2.61549 3.01844i −0.106072 0.122414i
\(609\) −26.1133 + 6.73969i −1.05817 + 0.273106i
\(610\) 2.20368 1.41622i 0.0892245 0.0573411i
\(611\) −41.9111 + 8.07771i −1.69554 + 0.326789i
\(612\) 6.89853 + 6.57774i 0.278857 + 0.265889i
\(613\) −34.0356 + 13.6258i −1.37468 + 0.550340i −0.937171 0.348872i \(-0.886565\pi\)
−0.437513 + 0.899212i \(0.644141\pi\)
\(614\) −12.9398 37.3870i −0.522206 1.50882i
\(615\) 3.95340 8.65674i 0.159417 0.349074i
\(616\) 38.7825 + 26.7733i 1.56259 + 1.07873i
\(617\) −11.7135 25.6489i −0.471566 1.03259i −0.984697 0.174275i \(-0.944242\pi\)
0.513131 0.858310i \(-0.328485\pi\)
\(618\) 23.5738 + 9.43753i 0.948278 + 0.379633i
\(619\) −0.553408 + 11.6175i −0.0222433 + 0.466945i 0.960077 + 0.279736i \(0.0902471\pi\)
−0.982320 + 0.187209i \(0.940056\pi\)
\(620\) −9.91897 17.1802i −0.398355 0.689972i
\(621\) −1.76305 4.46001i −0.0707487 0.178974i
\(622\) −56.6470 −2.27134
\(623\) 8.65687 22.5723i 0.346830 0.904341i
\(624\) −3.13286 21.7896i −0.125415 0.872280i
\(625\) −8.77205 0.837629i −0.350882 0.0335052i
\(626\) −12.9546 53.3994i −0.517768 2.13427i
\(627\) 26.7449 2.55383i 1.06809 0.101990i
\(628\) 2.79710 + 8.08170i 0.111617 + 0.322495i
\(629\) −3.34952 + 23.2964i −0.133554 + 0.928888i
\(630\) 3.72056 5.97925i 0.148231 0.238219i
\(631\) 10.7117 + 12.3620i 0.426426 + 0.492122i 0.927784 0.373118i \(-0.121711\pi\)
−0.501358 + 0.865240i \(0.667166\pi\)
\(632\) 0.766880 + 16.0988i 0.0305049 + 0.640376i
\(633\) −12.2778 6.32967i −0.488000 0.251582i
\(634\) 2.32266 6.71090i 0.0922448 0.266524i
\(635\) 2.53873 10.4648i 0.100746 0.415282i
\(636\) 3.19329 22.2098i 0.126622 0.880677i
\(637\) 24.1446 + 26.2753i 0.956642 + 1.04107i
\(638\) 36.7460 80.4626i 1.45479 3.18554i
\(639\) −1.23937 + 1.18174i −0.0490287 + 0.0467488i
\(640\) −12.0010 + 16.8531i −0.474382 + 0.666177i
\(641\) 26.7015 20.9983i 1.05465 0.829384i 0.0689010 0.997624i \(-0.478051\pi\)
0.985746 + 0.168240i \(0.0538083\pi\)
\(642\) −7.95990 + 4.10361i −0.314152 + 0.161957i
\(643\) −19.5781 −0.772085 −0.386042 0.922481i \(-0.626158\pi\)
−0.386042 + 0.922481i \(0.626158\pi\)
\(644\) 40.7433 + 31.3715i 1.60551 + 1.23621i
\(645\) −5.85496 −0.230539
\(646\) −39.1750 + 20.1961i −1.54132 + 0.794605i
\(647\) −10.2635 + 8.07131i −0.403500 + 0.317316i −0.799201 0.601063i \(-0.794744\pi\)
0.395701 + 0.918379i \(0.370501\pi\)
\(648\) 2.92917 4.11344i 0.115069 0.161591i
\(649\) 3.54638 3.38147i 0.139208 0.132734i
\(650\) −19.9510 + 43.6867i −0.782544 + 1.71353i
\(651\) 10.4531 + 5.83352i 0.409688 + 0.228634i
\(652\) 0.227596 1.58297i 0.00891336 0.0619938i
\(653\) 5.57908 22.9973i 0.218326 0.899953i −0.752196 0.658940i \(-0.771005\pi\)
0.970522 0.241013i \(-0.0774797\pi\)
\(654\) −13.3286 + 38.5106i −0.521191 + 1.50588i
\(655\) −20.8680 10.7582i −0.815382 0.420358i
\(656\) 1.80739 + 37.9417i 0.0705666 + 1.48138i
\(657\) −0.205343 0.236979i −0.00801121 0.00924543i
\(658\) 54.4699 + 1.79911i 2.12346 + 0.0701366i
\(659\) 0.862186 5.99664i 0.0335860 0.233596i −0.966113 0.258118i \(-0.916898\pi\)
0.999699 + 0.0245227i \(0.00780659\pi\)
\(660\) 5.05832 + 14.6151i 0.196895 + 0.568891i
\(661\) −18.7170 + 1.78725i −0.728005 + 0.0695161i −0.452476 0.891777i \(-0.649459\pi\)
−0.275529 + 0.961293i \(0.588853\pi\)
\(662\) −10.4597 43.1154i −0.406527 1.67573i
\(663\) −11.9358 1.13973i −0.463546 0.0442633i
\(664\) −3.39843 23.6366i −0.131884 0.917277i
\(665\) 13.7262 + 16.9399i 0.532278 + 0.656903i
\(666\) 24.6183 0.953940
\(667\) 22.5894 43.3534i 0.874667 1.67865i
\(668\) 17.9693 + 31.1238i 0.695254 + 1.20422i
\(669\) 0.0182732 0.383603i 0.000706485 0.0148309i
\(670\) 10.1284 + 4.05480i 0.391294 + 0.156651i
\(671\) −1.44205 3.15764i −0.0556696 0.121899i
\(672\) −0.111722 + 1.38283i −0.00430978 + 0.0533439i
\(673\) 6.87583 15.0560i 0.265044 0.580365i −0.729583 0.683892i \(-0.760286\pi\)
0.994627 + 0.103528i \(0.0330130\pi\)
\(674\) 14.6077 + 42.2062i 0.562668 + 1.62572i
\(675\) −3.55514 + 1.42326i −0.136837 + 0.0547814i
\(676\) 38.0902 + 36.3189i 1.46501 + 1.39688i
\(677\) −40.1212 + 7.73273i −1.54198 + 0.297193i −0.888189 0.459479i \(-0.848036\pi\)
−0.653795 + 0.756672i \(0.726824\pi\)
\(678\) −26.9679 + 17.3312i −1.03570 + 0.665602i
\(679\) −5.38068 + 19.3652i −0.206492 + 0.743168i
\(680\) −8.41515 9.71160i −0.322706 0.372423i
\(681\) −2.00098 + 8.24816i −0.0766778 + 0.316070i
\(682\) −36.4502 + 14.5925i −1.39575 + 0.558775i
\(683\) 43.8338 + 8.44828i 1.67725 + 0.323264i 0.937071 0.349140i \(-0.113526\pi\)
0.740184 + 0.672404i \(0.234738\pi\)
\(684\) 17.9050 + 25.1441i 0.684616 + 0.961409i
\(685\) −4.82513 1.41679i −0.184359 0.0541326i
\(686\) −22.6296 39.5467i −0.864002 1.50990i
\(687\) 1.82563 + 12.6975i 0.0696522 + 0.484442i
\(688\) 20.7714 10.7084i 0.791903 0.408254i
\(689\) 14.1124 + 24.4434i 0.537640 + 0.931220i
\(690\) 3.54308 + 12.2637i 0.134883 + 0.466871i
\(691\) 2.15562 3.73365i 0.0820037 0.142035i −0.822107 0.569333i \(-0.807201\pi\)
0.904111 + 0.427299i \(0.140535\pi\)
\(692\) −6.71771 4.31721i −0.255369 0.164116i
\(693\) −7.14126 6.00788i −0.271274 0.228220i
\(694\) −7.28114 15.9435i −0.276388 0.605206i
\(695\) 11.8606 11.3090i 0.449897 0.428976i
\(696\) 51.2412 4.89294i 1.94229 0.185466i
\(697\) 20.3151 + 3.91541i 0.769489 + 0.148307i
\(698\) 46.4821 + 36.5540i 1.75938 + 1.38359i
\(699\) −15.7207 + 4.61601i −0.594611 + 0.174594i
\(700\) 24.9083 32.6420i 0.941443 1.23375i
\(701\) 35.7748 22.9911i 1.35119 0.868360i 0.353448 0.935454i \(-0.385009\pi\)
0.997747 + 0.0670940i \(0.0213727\pi\)
\(702\) 0.596745 + 12.5272i 0.0225227 + 0.472809i
\(703\) −24.9286 + 72.0263i −0.940198 + 2.71652i
\(704\) 18.7545 + 17.8824i 0.706839 + 0.673969i
\(705\) 7.12065 + 5.59974i 0.268179 + 0.210899i
\(706\) −18.2595 + 21.0726i −0.687206 + 0.793078i
\(707\) −0.608702 + 0.657319i −0.0228926 + 0.0247210i
\(708\) 5.40183 + 1.58612i 0.203013 + 0.0596101i
\(709\) 42.9939 + 4.10542i 1.61467 + 0.154182i 0.862947 0.505295i \(-0.168616\pi\)
0.751724 + 0.659477i \(0.229222\pi\)
\(710\) 3.58294 2.81765i 0.134465 0.105745i
\(711\) 0.151864 3.18801i 0.00569533 0.119560i
\(712\) −23.0711 + 39.9603i −0.864626 + 1.49758i
\(713\) −20.5359 + 7.00767i −0.769076 + 0.262439i
\(714\) 14.5391 + 4.79579i 0.544111 + 0.179478i
\(715\) −16.3658 10.5177i −0.612048 0.393339i
\(716\) −49.3052 19.7388i −1.84262 0.737674i
\(717\) −5.66175 + 7.95081i −0.211442 + 0.296929i
\(718\) 14.5654 + 60.0393i 0.543575 + 2.24065i
\(719\) −15.0623 21.1520i −0.561729 0.788838i 0.431854 0.901944i \(-0.357860\pi\)
−0.993583 + 0.113105i \(0.963920\pi\)
\(720\) −3.05956 + 3.53092i −0.114023 + 0.131590i
\(721\) 27.2551 1.69697i 1.01503 0.0631986i
\(722\) −92.0977 + 27.0423i −3.42752 + 1.00641i
\(723\) 9.71130 1.87170i 0.361167 0.0696092i
\(724\) −45.4447 23.4284i −1.68894 0.870709i
\(725\) −34.6956 17.8868i −1.28856 0.664300i
\(726\) 3.48289 0.671273i 0.129262 0.0249133i
\(727\) −43.9000 + 12.8902i −1.62816 + 0.478071i −0.963195 0.268804i \(-0.913372\pi\)
−0.664965 + 0.746875i \(0.731553\pi\)
\(728\) −37.6536 56.7532i −1.39554 2.10341i
\(729\) −0.654861 + 0.755750i −0.0242541 + 0.0279907i
\(730\) 0.484136 + 0.679875i 0.0179187 + 0.0251633i
\(731\) −3.00084 12.3696i −0.110990 0.457507i
\(732\) 2.31345 3.24879i 0.0855076 0.120079i
\(733\) 8.87424 + 3.55271i 0.327778 + 0.131222i 0.529714 0.848176i \(-0.322299\pi\)
−0.201936 + 0.979399i \(0.564723\pi\)
\(734\) −4.21475 2.70865i −0.155569 0.0999782i
\(735\) 0.858755 7.52459i 0.0316756 0.277549i
\(736\) −1.72745 1.82755i −0.0636747 0.0673644i
\(737\) 7.22879 12.5206i 0.266276 0.461204i
\(738\) 1.02969 21.6159i 0.0379034 0.795691i
\(739\) −27.6218 + 21.7220i −1.01608 + 0.799057i −0.979738 0.200283i \(-0.935814\pi\)
−0.0363449 + 0.999339i \(0.511571\pi\)
\(740\) −43.6761 4.17056i −1.60557 0.153313i
\(741\) −37.2554 10.9392i −1.36861 0.401861i
\(742\) −10.6566 34.4276i −0.391215 1.26388i
\(743\) 32.1329 37.0833i 1.17884 1.36045i 0.260105 0.965580i \(-0.416243\pi\)
0.918735 0.394874i \(-0.129212\pi\)
\(744\) −17.9595 14.1235i −0.658427 0.517793i
\(745\) 12.6955 + 12.1051i 0.465125 + 0.443496i
\(746\) 15.9789 46.1679i 0.585028 1.69033i
\(747\) 0.225007 + 4.72348i 0.00823257 + 0.172823i
\(748\) −28.2843 + 18.1772i −1.03418 + 0.664624i
\(749\) −5.84237 + 7.65637i −0.213476 + 0.279758i
\(750\) 22.5497 6.62119i 0.823399 0.241772i
\(751\) 9.68034 + 7.61270i 0.353241 + 0.277791i 0.778973 0.627058i \(-0.215741\pi\)
−0.425732 + 0.904849i \(0.639983\pi\)
\(752\) −35.5033 6.84270i −1.29467 0.249527i
\(753\) 6.48314 0.619065i 0.236259 0.0225600i
\(754\) −92.5215 + 88.2191i −3.36943 + 3.21275i
\(755\) −6.67164 14.6089i −0.242806 0.531671i
\(756\) 1.87544 10.5569i 0.0682091 0.383949i
\(757\) 40.4254 + 25.9798i 1.46929 + 0.944252i 0.998061 + 0.0622386i \(0.0198240\pi\)
0.471224 + 0.882014i \(0.343812\pi\)
\(758\) −22.9240 + 39.7056i −0.832638 + 1.44217i
\(759\) 16.7544 2.33458i 0.608146 0.0847400i
\(760\) −20.8070 36.0388i −0.754750 1.30727i
\(761\) 27.2187 14.0322i 0.986678 0.508668i 0.112175 0.993688i \(-0.464218\pi\)
0.874503 + 0.485021i \(0.161188\pi\)
\(762\) −3.48477 24.2371i −0.126240 0.878017i
\(763\) 4.80160 + 43.5616i 0.173829 + 1.57704i
\(764\) −51.1976 15.0330i −1.85226 0.543874i
\(765\) 1.47608 + 2.07286i 0.0533678 + 0.0749446i
\(766\) 14.1200 + 2.72140i 0.510175 + 0.0983281i
\(767\) −6.57450 + 2.63203i −0.237391 + 0.0950371i
\(768\) −7.62748 + 31.4409i −0.275233 + 1.13453i
\(769\) 9.13735 + 10.5451i 0.329501 + 0.380265i 0.896192 0.443666i \(-0.146322\pi\)
−0.566691 + 0.823930i \(0.691777\pi\)
\(770\) 17.4020 + 17.7258i 0.627126 + 0.638795i
\(771\) 16.2094 10.4171i 0.583767 0.375164i
\(772\) 28.1095 5.41767i 1.01168 0.194986i
\(773\) 24.4067 + 23.2717i 0.877847 + 0.837025i 0.987609 0.156933i \(-0.0501606\pi\)
−0.109763 + 0.993958i \(0.535009\pi\)
\(774\) −12.3601 + 4.94822i −0.444273 + 0.177860i
\(775\) 5.66687 + 16.3733i 0.203560 + 0.588148i
\(776\) 15.9359 34.8948i 0.572066 1.25265i
\(777\) 23.9196 11.3481i 0.858111 0.407112i
\(778\) −4.58370 10.0369i −0.164334 0.359840i
\(779\) 62.1994 + 24.9009i 2.22852 + 0.892166i
\(780\) 1.06352 22.3260i 0.0380801 0.799401i
\(781\) −3.02018 5.23110i −0.108070 0.187184i
\(782\) −24.0932 + 13.7709i −0.861572 + 0.492445i
\(783\) −10.1933 −0.364280
\(784\) 10.7155 + 28.2653i 0.382696 + 1.00947i
\(785\) 0.324924 + 2.25990i 0.0115971 + 0.0806593i
\(786\) −53.1453 5.07476i −1.89563 0.181011i
\(787\) −5.48818 22.6226i −0.195633 0.806408i −0.982036 0.188695i \(-0.939574\pi\)
0.786403 0.617714i \(-0.211941\pi\)
\(788\) 75.5833 7.21733i 2.69255 0.257107i
\(789\) −2.19035 6.32861i −0.0779786 0.225304i
\(790\) −1.20900 + 8.40881i −0.0430144 + 0.299172i
\(791\) −18.2135 + 29.2706i −0.647597 + 1.04074i
\(792\) 11.6644 + 13.4615i 0.414477 + 0.478332i
\(793\) 0.238712 + 5.01118i 0.00847692 + 0.177952i
\(794\) −24.5036 12.6325i −0.869601 0.448311i
\(795\) 1.95924 5.66086i 0.0694871 0.200770i
\(796\) 21.8465 90.0523i 0.774327 3.19182i
\(797\) 0.957402 6.65888i 0.0339129 0.235869i −0.965814 0.259236i \(-0.916529\pi\)
0.999727 + 0.0233663i \(0.00743841\pi\)
\(798\) 43.2930 + 24.1604i 1.53255 + 0.855270i
\(799\) −8.18088 + 17.9136i −0.289419 + 0.633739i
\(800\) −1.45328 + 1.38570i −0.0513811 + 0.0489918i
\(801\) 5.30024 7.44315i 0.187275 0.262991i
\(802\) −35.6067 + 28.0014i −1.25732 + 0.988765i
\(803\) 0.983091 0.506819i 0.0346925 0.0178852i
\(804\) 16.6107 0.585814
\(805\) 9.09563 + 10.2824i 0.320579 + 0.362407i
\(806\) 56.7434 1.99870
\(807\) 3.93103 2.02659i 0.138379 0.0713393i
\(808\) 1.34407 1.05699i 0.0472842 0.0371847i
\(809\) −5.29054 + 7.42953i −0.186006 + 0.261208i −0.897040 0.441948i \(-0.854287\pi\)
0.711035 + 0.703157i \(0.248227\pi\)
\(810\) 1.92639 1.83681i 0.0676865 0.0645389i
\(811\) −9.83347 + 21.5323i −0.345300 + 0.756101i 0.654700 + 0.755889i \(0.272795\pi\)
−1.00000 0.000212317i \(0.999932\pi\)
\(812\) 93.8450 56.0217i 3.29331 1.96598i
\(813\) −4.53025 + 31.5086i −0.158883 + 1.10505i
\(814\) −20.4723 + 84.3880i −0.717554 + 2.95780i
\(815\) 0.139642 0.403468i 0.00489143 0.0141329i
\(816\) −9.02779 4.65415i −0.316036 0.162928i
\(817\) −1.96130 41.1727i −0.0686170 1.44045i
\(818\) 1.62766 + 1.87842i 0.0569099 + 0.0656775i
\(819\) 6.35439 + 11.8966i 0.222040 + 0.415701i
\(820\) −5.48873 + 38.1750i −0.191675 + 1.33313i
\(821\) 1.24980 + 3.61107i 0.0436184 + 0.126027i 0.964707 0.263326i \(-0.0848196\pi\)
−0.921088 + 0.389354i \(0.872698\pi\)
\(822\) −11.3834 + 1.08698i −0.397042 + 0.0379129i
\(823\) −12.9777 53.4946i −0.452373 1.86471i −0.500295 0.865855i \(-0.666775\pi\)
0.0479225 0.998851i \(-0.484740\pi\)
\(824\) −51.8850 4.95442i −1.80750 0.172595i
\(825\) −1.92233 13.3701i −0.0669269 0.465487i
\(826\) 8.93069 1.41725i 0.310738 0.0493125i
\(827\) −38.8199 −1.34990 −0.674950 0.737863i \(-0.735835\pi\)
−0.674950 + 0.737863i \(0.735835\pi\)
\(828\) 11.9477 + 15.3295i 0.415211 + 0.532737i
\(829\) −20.1573 34.9134i −0.700091 1.21259i −0.968434 0.249269i \(-0.919810\pi\)
0.268344 0.963323i \(-0.413524\pi\)
\(830\) 0.598910 12.5727i 0.0207885 0.436403i
\(831\) −8.65024 3.46303i −0.300074 0.120131i
\(832\) −15.5577 34.0666i −0.539366 1.18105i
\(833\) 16.3371 2.04230i 0.566048 0.0707615i
\(834\) 15.4805 33.8976i 0.536046 1.17378i
\(835\) 3.13806 + 9.06684i 0.108597 + 0.313771i
\(836\) −101.080 + 40.4664i −3.49593 + 1.39956i
\(837\) 3.27452 + 3.12225i 0.113184 + 0.107921i
\(838\) 14.5810 2.81025i 0.503692 0.0970786i
\(839\) −46.9974 + 30.2034i −1.62253 + 1.04274i −0.668203 + 0.743979i \(0.732936\pi\)
−0.954329 + 0.298759i \(0.903427\pi\)
\(840\) −3.86976 + 13.9274i −0.133519 + 0.480540i
\(841\) −49.0519 56.6089i −1.69144 1.95203i
\(842\) 15.1933 62.6276i 0.523595 2.15829i
\(843\) −5.06412 + 2.02737i −0.174417 + 0.0698262i
\(844\) 54.9685 + 10.5943i 1.89209 + 0.364671i
\(845\) 8.15017 + 11.4453i 0.280374 + 0.393731i
\(846\) 19.7645 + 5.80338i 0.679517 + 0.199524i
\(847\) 3.07461 2.25771i 0.105645 0.0775757i
\(848\) 3.40268 + 23.6661i 0.116848 + 0.812698i
\(849\) 18.1447 9.35424i 0.622724 0.321037i
\(850\) 11.0795 + 19.1903i 0.380025 + 0.658223i
\(851\) −13.7205 + 45.9869i −0.470333 + 1.57641i
\(852\) 3.46996 6.01015i 0.118879 0.205904i
\(853\) 41.0014 + 26.3500i 1.40386 + 0.902208i 0.999921 0.0125769i \(-0.00400344\pi\)
0.403942 + 0.914785i \(0.367640\pi\)
\(854\) 1.12046 6.30709i 0.0383415 0.215824i
\(855\) 3.42333 + 7.49605i 0.117075 + 0.256359i
\(856\) 13.3036 12.6849i 0.454707 0.433562i
\(857\) 10.5167 1.00422i 0.359242 0.0343035i 0.0861252 0.996284i \(-0.472551\pi\)
0.273117 + 0.961981i \(0.411945\pi\)
\(858\) −43.4378 8.37194i −1.48294 0.285813i
\(859\) 9.01654 + 7.09068i 0.307640 + 0.241931i 0.760028 0.649890i \(-0.225185\pi\)
−0.452388 + 0.891821i \(0.649428\pi\)
\(860\) 22.7666 6.68489i 0.776336 0.227953i
\(861\) −8.96364 21.4770i −0.305480 0.731935i
\(862\) 20.0109 12.8602i 0.681574 0.438021i
\(863\) −0.815421 17.1178i −0.0277573 0.582697i −0.969312 0.245835i \(-0.920938\pi\)
0.941554 0.336861i \(-0.109365\pi\)
\(864\) −0.171503 + 0.495524i −0.00583464 + 0.0168581i
\(865\) −1.54289 1.47114i −0.0524598 0.0500204i
\(866\) 26.6074 + 20.9243i 0.904157 + 0.711037i
\(867\) 7.50988 8.66687i 0.255049 0.294342i
\(868\) −47.3064 10.7485i −1.60569 0.364828i
\(869\) 10.8018 + 3.17168i 0.366425 + 0.107592i
\(870\) 27.0092 + 2.57906i 0.915697 + 0.0874384i
\(871\) −16.4242 + 12.9161i −0.556511 + 0.437645i
\(872\) 3.98009 83.5524i 0.134783 2.82944i
\(873\) −3.79832 + 6.57888i −0.128554 + 0.222661i
\(874\) −85.0526 + 29.0234i −2.87695 + 0.981730i
\(875\) 18.8576 16.8279i 0.637503 0.568885i
\(876\) 1.06903 + 0.687027i 0.0361193 + 0.0232125i
\(877\) 32.1454 + 12.8691i 1.08547 + 0.434558i 0.844271 0.535917i \(-0.180034\pi\)
0.241202 + 0.970475i \(0.422458\pi\)
\(878\) 15.0465 21.1299i 0.507795 0.713098i
\(879\) 0.358122 + 1.47620i 0.0120791 + 0.0497909i
\(880\) −9.55920 13.4240i −0.322240 0.452523i
\(881\) −25.3284 + 29.2305i −0.853335 + 0.984801i −0.999990 0.00438650i \(-0.998604\pi\)
0.146655 + 0.989188i \(0.453149\pi\)
\(882\) −4.54641 16.6105i −0.153086 0.559303i
\(883\) −10.6137 + 3.11647i −0.357180 + 0.104877i −0.455399 0.890287i \(-0.650503\pi\)
0.0982195 + 0.995165i \(0.468685\pi\)
\(884\) 47.7127 9.19586i 1.60475 0.309290i
\(885\) 1.33593 + 0.688718i 0.0449066 + 0.0231510i
\(886\) 20.1267 + 10.3760i 0.676168 + 0.348589i
\(887\) 7.91705 1.52589i 0.265828 0.0512342i −0.0545952 0.998509i \(-0.517387\pi\)
0.320424 + 0.947274i \(0.396175\pi\)
\(888\) −48.4845 + 14.2363i −1.62703 + 0.477740i
\(889\) −14.5583 21.9429i −0.488268 0.735940i
\(890\) −15.9272 + 18.3810i −0.533881 + 0.616131i
\(891\) −2.04603 2.87324i −0.0685445 0.0962572i
\(892\) 0.366923 + 1.51248i 0.0122855 + 0.0506415i
\(893\) −36.9927 + 51.9489i −1.23791 + 1.73840i
\(894\) 37.0310 + 14.8250i 1.23850 + 0.495821i
\(895\) −11.9278 7.66555i −0.398703 0.256231i
\(896\) 10.2985 + 49.5351i 0.344047 + 1.65485i
\(897\) −23.7334 5.86708i −0.792434 0.195896i
\(898\) 27.1980 47.1084i 0.907610 1.57203i
\(899\) −2.19446 + 46.0673i −0.0731893 + 1.53643i
\(900\) 12.1989 9.59334i 0.406631 0.319778i
\(901\) 12.9637 + 1.23788i 0.431883 + 0.0412399i
\(902\) 73.2398 + 21.5052i 2.43862 + 0.716043i
\(903\) −9.72831 + 10.5053i −0.323738 + 0.349595i
\(904\) 43.0896 49.7281i 1.43314 1.65393i
\(905\) −10.7294 8.43770i −0.356658 0.280479i
\(906\) −26.4305 25.2014i −0.878095 0.837262i
\(907\) −6.05077 + 17.4826i −0.200913 + 0.580499i −0.999779 0.0210094i \(-0.993312\pi\)
0.798867 + 0.601508i \(0.205433\pi\)
\(908\) −1.63663 34.3570i −0.0543134 1.14018i
\(909\) −0.284855 + 0.183065i −0.00944804 + 0.00607189i
\(910\) −13.8271 33.1300i −0.458365 1.09825i
\(911\) −5.60816 + 1.64670i −0.185807 + 0.0545577i −0.373312 0.927706i \(-0.621778\pi\)
0.187505 + 0.982264i \(0.439960\pi\)
\(912\) −25.8547 20.3323i −0.856134 0.673271i
\(913\) −16.3785 3.15670i −0.542050 0.104472i
\(914\) 11.1201 1.06184i 0.367821 0.0351226i
\(915\) 0.770602 0.734768i 0.0254753 0.0242907i
\(916\) −21.5962 47.2892i −0.713560 1.56248i
\(917\) −53.9763 + 19.5673i −1.78245 + 0.646169i
\(918\) 4.86791 + 3.12841i 0.160665 + 0.103253i
\(919\) 29.6480 51.3519i 0.977999 1.69394i 0.308338 0.951277i \(-0.400227\pi\)
0.669661 0.742667i \(-0.266439\pi\)
\(920\) −14.0698 22.1038i −0.463867 0.728741i
\(921\) −8.04058 13.9267i −0.264946 0.458900i
\(922\) 61.5549 31.7337i 2.02720 1.04510i
\(923\) 1.24236 + 8.64082i 0.0408928 + 0.284416i
\(924\) 34.6278 + 15.2077i 1.13917 + 0.500297i
\(925\) 36.7676 + 10.7959i 1.20891 + 0.354969i
\(926\) 7.02134 + 9.86009i 0.230735 + 0.324023i
\(927\) 10.1349 + 1.95334i 0.332873 + 0.0641561i
\(928\) −4.96215 + 1.98654i −0.162890 + 0.0652115i
\(929\) 0.370604 1.52765i 0.0121591 0.0501206i −0.965409 0.260741i \(-0.916033\pi\)
0.977568 + 0.210620i \(0.0675483\pi\)
\(930\) −7.88648 9.10148i −0.258608 0.298449i
\(931\) 53.2013 + 3.51826i 1.74360 + 0.115306i
\(932\) 55.8586 35.8981i 1.82971 1.17588i
\(933\) −22.6093 + 4.35758i −0.740194 + 0.142661i
\(934\) −39.9709 38.1122i −1.30789 1.24707i
\(935\) −8.33298 + 3.33602i −0.272518 + 0.109100i
\(936\) −8.41953 24.3266i −0.275201 0.795141i
\(937\) 18.5098 40.5308i 0.604689 1.32408i −0.321459 0.946923i \(-0.604173\pi\)
0.926148 0.377160i \(-0.123099\pi\)
\(938\) 24.1042 11.4357i 0.787029 0.373389i
\(939\) −9.27825 20.3165i −0.302784 0.663005i
\(940\) −34.0817 13.6443i −1.11162 0.445026i
\(941\) 1.03812 21.7929i 0.0338418 0.710427i −0.916653 0.399685i \(-0.869120\pi\)
0.950494 0.310742i \(-0.100577\pi\)
\(942\) 2.59584 + 4.49613i 0.0845771 + 0.146492i
\(943\) 39.8045 + 13.9706i 1.29621 + 0.454946i
\(944\) −5.99904 −0.195252
\(945\) 1.02502 2.67267i 0.0333438 0.0869421i
\(946\) −6.68330 46.4834i −0.217293 1.51130i
\(947\) 20.2232 + 1.93108i 0.657167 + 0.0627518i 0.418312 0.908304i \(-0.362622\pi\)
0.238855 + 0.971055i \(0.423228\pi\)
\(948\) 3.04939 + 12.5698i 0.0990396 + 0.408247i
\(949\) −1.59124 + 0.151945i −0.0516540 + 0.00493236i
\(950\) 23.4702 + 67.8127i 0.761474 + 2.20014i
\(951\) 0.410798 2.85716i 0.0133210 0.0926498i
\(952\) −31.4073 1.03737i −1.01792 0.0336212i
\(953\) −3.05194 3.52213i −0.0988621 0.114093i 0.704162 0.710039i \(-0.251323\pi\)
−0.803025 + 0.595946i \(0.796777\pi\)
\(954\) −0.648139 13.6061i −0.0209843 0.440514i
\(955\) −12.6617 6.52754i −0.409722 0.211226i
\(956\) 12.9375 37.3805i 0.418429 1.20897i
\(957\) 8.47668 34.9413i 0.274012 1.12949i
\(958\) −5.59040 + 38.8821i −0.180618 + 1.25622i
\(959\) −10.5593 + 6.30346i −0.340976 + 0.203549i
\(960\) −3.30190 + 7.23015i −0.106568 + 0.233352i
\(961\) −7.62026 + 7.26590i −0.245815 + 0.234384i
\(962\) 72.7955 102.227i 2.34702 3.29593i
\(963\) −2.86133 + 2.25017i −0.0922050 + 0.0725108i
\(964\) −35.6247 + 18.3658i −1.14740 + 0.591523i
\(965\) 7.64250 0.246021
\(966\) 27.8912 + 14.0195i 0.897385 + 0.451071i
\(967\) −52.0673 −1.67437 −0.837186 0.546918i \(-0.815801\pi\)
−0.837186 + 0.546918i \(0.815801\pi\)
\(968\) −6.47119 + 3.33613i −0.207992 + 0.107227i
\(969\) −14.0821 + 11.0743i −0.452383 + 0.355758i
\(970\) 11.7289 16.4709i 0.376593 0.528850i
\(971\) −27.2865 + 26.0176i −0.875666 + 0.834946i −0.987310 0.158802i \(-0.949237\pi\)
0.111644 + 0.993748i \(0.464388\pi\)
\(972\) 1.68351 3.68637i 0.0539985 0.118240i
\(973\) −0.584380 40.0714i −0.0187344 1.28463i
\(974\) 0.285200 1.98361i 0.00913838 0.0635588i
\(975\) −4.60236 + 18.9712i −0.147394 + 0.607565i
\(976\) −1.38998 + 4.01609i −0.0444923 + 0.128552i
\(977\) −4.27619 2.20453i −0.136807 0.0705291i 0.388464 0.921464i \(-0.373006\pi\)
−0.525271 + 0.850935i \(0.676036\pi\)
\(978\) −0.0461950 0.969751i −0.00147715 0.0310092i
\(979\) 21.1064 + 24.3581i 0.674564 + 0.778488i
\(980\) 5.25197 + 30.2394i 0.167768 + 0.965961i
\(981\) −2.35737 + 16.3959i −0.0752650 + 0.523480i
\(982\) −19.3380 55.8734i −0.617099 1.78299i
\(983\) 27.7862 2.65326i 0.886243 0.0846259i 0.358002 0.933721i \(-0.383458\pi\)
0.528240 + 0.849095i \(0.322852\pi\)
\(984\) 10.4721 + 43.1668i 0.333840 + 1.37611i
\(985\) 20.1785 + 1.92681i 0.642939 + 0.0613932i
\(986\) 8.39426 + 58.3833i 0.267328 + 1.85930i
\(987\) 21.8787 3.47203i 0.696406 0.110516i
\(988\) 157.355 5.00613
\(989\) −2.35462 25.8463i −0.0748727 0.821865i
\(990\) 4.69436 + 8.13087i 0.149196 + 0.258416i
\(991\) −1.97073 + 41.3706i −0.0626022 + 1.31418i 0.721007 + 0.692927i \(0.243679\pi\)
−0.783610 + 0.621254i \(0.786624\pi\)
\(992\) 2.20253 + 0.881760i 0.0699304 + 0.0279959i
\(993\) −7.49138 16.4038i −0.237732 0.520560i
\(994\) 0.897634 11.1104i 0.0284712 0.352400i
\(995\) 10.2768 22.5030i 0.325796 0.713393i
\(996\) −6.26794 18.1100i −0.198607 0.573838i
\(997\) 55.4141 22.1845i 1.75498 0.702590i 0.756145 0.654404i \(-0.227080\pi\)
0.998838 0.0481858i \(-0.0153440\pi\)
\(998\) −49.3976 47.1006i −1.56366 1.49094i
\(999\) 9.82578 1.89376i 0.310874 0.0599161i
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 \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 483.2.y.b.163.2 yes 320
7.4 even 3 inner 483.2.y.b.25.15 320
23.12 even 11 inner 483.2.y.b.58.15 yes 320
161.81 even 33 inner 483.2.y.b.403.2 yes 320
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
483.2.y.b.25.15 320 7.4 even 3 inner
483.2.y.b.58.15 yes 320 23.12 even 11 inner
483.2.y.b.163.2 yes 320 1.1 even 1 trivial
483.2.y.b.403.2 yes 320 161.81 even 33 inner