Properties

Label 507.2.m.a.79.1
Level $507$
Weight $2$
Character 507.79
Analytic conductor $4.048$
Analytic rank $0$
Dimension $180$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [507,2,Mod(40,507)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(507, base_ring=CyclotomicField(26))
 
chi = DirichletCharacter(H, H._module([0, 2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("507.40");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 507 = 3 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 507.m (of order \(13\), degree \(12\), 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: \(4.04841538248\)
Analytic rank: \(0\)
Dimension: \(180\)
Relative dimension: \(15\) over \(\Q(\zeta_{13})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{13}]$

Embedding invariants

Embedding label 79.1
Character \(\chi\) \(=\) 507.79
Dual form 507.2.m.a.430.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-2.26213 - 1.18726i) q^{2} +(0.970942 + 0.239316i) q^{3} +(2.57152 + 3.72549i) q^{4} +(-1.11131 - 2.93028i) q^{5} +(-1.91227 - 1.69412i) q^{6} +(0.198155 + 1.63195i) q^{7} +(-0.778110 - 6.40831i) q^{8} +(0.885456 + 0.464723i) q^{9} +O(q^{10})\) \(q+(-2.26213 - 1.18726i) q^{2} +(0.970942 + 0.239316i) q^{3} +(2.57152 + 3.72549i) q^{4} +(-1.11131 - 2.93028i) q^{5} +(-1.91227 - 1.69412i) q^{6} +(0.198155 + 1.63195i) q^{7} +(-0.778110 - 6.40831i) q^{8} +(0.885456 + 0.464723i) q^{9} +(-0.965071 + 7.94807i) q^{10} +(-3.86299 + 2.02745i) q^{11} +(1.60523 + 4.23264i) q^{12} +(-3.29370 - 1.46681i) q^{13} +(1.48929 - 3.92694i) q^{14} +(-0.377754 - 3.11108i) q^{15} +(-2.63767 + 6.95497i) q^{16} +(0.321061 + 2.64417i) q^{17} +(-1.45127 - 2.10253i) q^{18} +1.03053 q^{19} +(8.05896 - 11.6754i) q^{20} +(-0.198155 + 1.63195i) q^{21} +11.1457 q^{22} -5.35152 q^{23} +(0.778110 - 6.40831i) q^{24} +(-3.60897 + 3.19727i) q^{25} +(5.70929 + 7.22859i) q^{26} +(0.748511 + 0.663123i) q^{27} +(-5.57025 + 4.93481i) q^{28} +(-1.58367 - 0.831175i) q^{29} +(-2.83913 + 7.48616i) q^{30} +(-5.33342 - 4.72500i) q^{31} +(4.56025 - 4.04003i) q^{32} +(-4.23593 + 1.04406i) q^{33} +(2.41303 - 6.36264i) q^{34} +(4.56186 - 2.39425i) q^{35} +(0.545646 + 4.49380i) q^{36} +(-5.21613 - 4.62109i) q^{37} +(-2.33120 - 1.22351i) q^{38} +(-2.84696 - 2.21242i) q^{39} +(-17.9134 + 9.40169i) q^{40} +(7.60788 + 1.87517i) q^{41} +(2.38579 - 3.45642i) q^{42} +(-9.61409 + 8.51734i) q^{43} +(-17.4870 - 9.17787i) q^{44} +(0.377754 - 3.11108i) q^{45} +(12.1058 + 6.35363i) q^{46} +(-4.84256 + 7.01566i) q^{47} +(-4.22546 + 6.12164i) q^{48} +(4.17260 - 1.02845i) q^{49} +(11.9599 - 2.94786i) q^{50} +(-0.321061 + 2.64417i) q^{51} +(-3.00522 - 16.0426i) q^{52} +(0.328714 + 2.70721i) q^{53} +(-0.905931 - 2.38874i) q^{54} +(10.2340 + 9.06650i) q^{55} +(10.3039 - 2.53967i) q^{56} +(1.00059 + 0.246623i) q^{57} +(2.59565 + 3.76045i) q^{58} +(2.10568 + 5.55222i) q^{59} +(10.6189 - 9.40752i) q^{60} +(-0.0349177 + 0.287573i) q^{61} +(6.45510 + 17.0207i) q^{62} +(-0.582948 + 1.53711i) q^{63} +(-0.668032 + 0.164655i) q^{64} +(-0.637853 + 11.2815i) q^{65} +(10.8218 + 2.66733i) q^{66} +(-5.30951 + 7.69215i) q^{67} +(-9.02522 + 7.99565i) q^{68} +(-5.19601 - 1.28070i) q^{69} -13.1621 q^{70} +(-7.25924 - 1.78924i) q^{71} +(2.28911 - 6.03589i) q^{72} +(13.9626 - 7.32812i) q^{73} +(6.31314 + 16.6464i) q^{74} +(-4.26926 + 2.24068i) q^{75} +(2.65003 + 3.83923i) q^{76} +(-4.07417 - 5.90245i) q^{77} +(3.81348 + 8.38486i) q^{78} +(-7.18741 + 10.4128i) q^{79} +23.3113 q^{80} +(0.568065 + 0.822984i) q^{81} +(-14.9837 - 13.2744i) q^{82} +(1.68855 - 0.416190i) q^{83} +(-6.58937 + 3.45837i) q^{84} +(7.39137 - 3.87929i) q^{85} +(31.8606 - 7.85293i) q^{86} +(-1.33874 - 1.18602i) q^{87} +(15.9984 + 23.1776i) q^{88} -10.3491 q^{89} +(-4.54818 + 6.58918i) q^{90} +(1.74110 - 5.66581i) q^{91} +(-13.7615 - 19.9370i) q^{92} +(-4.04768 - 5.86407i) q^{93} +(19.2839 - 10.1210i) q^{94} +(-1.14524 - 3.01975i) q^{95} +(5.39458 - 2.83130i) q^{96} +(1.59287 - 4.20006i) q^{97} +(-10.6600 - 2.62745i) q^{98} -4.36271 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 180 q - q^{2} + 15 q^{3} - 15 q^{4} - 2 q^{5} + q^{6} + 4 q^{7} + 3 q^{8} - 15 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 180 q - q^{2} + 15 q^{3} - 15 q^{4} - 2 q^{5} + q^{6} + 4 q^{7} + 3 q^{8} - 15 q^{9} - 2 q^{10} - 4 q^{11} + 15 q^{12} - 14 q^{13} + 6 q^{14} + 2 q^{15} - 15 q^{16} - 2 q^{17} - q^{18} + 2 q^{20} - 4 q^{21} - 28 q^{22} - 52 q^{23} - 3 q^{24} - 67 q^{25} - 40 q^{26} + 15 q^{27} - 4 q^{28} - 27 q^{29} + 2 q^{30} + 22 q^{31} - 5 q^{32} - 9 q^{33} + 63 q^{34} - 31 q^{35} - 15 q^{36} + 2 q^{37} + 65 q^{38} + q^{39} + 45 q^{40} - 6 q^{41} + 59 q^{42} - 60 q^{43} - 35 q^{44} - 2 q^{45} - 156 q^{46} + 15 q^{48} + 59 q^{49} - 51 q^{50} + 2 q^{51} + 66 q^{52} + 50 q^{53} + q^{54} + 55 q^{55} - 14 q^{56} - 13 q^{57} + 36 q^{58} + 92 q^{59} - 15 q^{60} + 6 q^{61} + 61 q^{62} + 4 q^{63} - 203 q^{64} - 54 q^{65} + 54 q^{66} + 86 q^{67} + 32 q^{68} + 112 q^{70} + 39 q^{71} + 3 q^{72} - 158 q^{73} - 80 q^{74} + 15 q^{75} + 130 q^{76} - 64 q^{77} + 66 q^{78} - 10 q^{79} - 310 q^{80} - 15 q^{81} + 59 q^{82} - 82 q^{83} + 4 q^{84} + 22 q^{85} - q^{86} + 40 q^{87} + 10 q^{88} + 2 q^{89} - 2 q^{90} - 100 q^{91} - 54 q^{92} + 43 q^{93} + 65 q^{94} + 58 q^{95} - 60 q^{96} + 16 q^{97} - 113 q^{98} - 30 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).

\(n\) \(170\) \(340\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{13}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.26213 1.18726i −1.59957 0.839517i −0.999208 0.0397860i \(-0.987332\pi\)
−0.600358 0.799731i \(-0.704975\pi\)
\(3\) 0.970942 + 0.239316i 0.560574 + 0.138169i
\(4\) 2.57152 + 3.72549i 1.28576 + 1.86274i
\(5\) −1.11131 2.93028i −0.496992 1.31046i −0.915526 0.402259i \(-0.868225\pi\)
0.418534 0.908201i \(-0.362544\pi\)
\(6\) −1.91227 1.69412i −0.780679 0.691622i
\(7\) 0.198155 + 1.63195i 0.0748954 + 0.616819i 0.981034 + 0.193837i \(0.0620934\pi\)
−0.906138 + 0.422982i \(0.860983\pi\)
\(8\) −0.778110 6.40831i −0.275103 2.26568i
\(9\) 0.885456 + 0.464723i 0.295152 + 0.154908i
\(10\) −0.965071 + 7.94807i −0.305182 + 2.51340i
\(11\) −3.86299 + 2.02745i −1.16473 + 0.611299i −0.932432 0.361344i \(-0.882318\pi\)
−0.232301 + 0.972644i \(0.574626\pi\)
\(12\) 1.60523 + 4.23264i 0.463389 + 1.22186i
\(13\) −3.29370 1.46681i −0.913508 0.406821i
\(14\) 1.48929 3.92694i 0.398030 1.04952i
\(15\) −0.377754 3.11108i −0.0975356 0.803278i
\(16\) −2.63767 + 6.95497i −0.659418 + 1.73874i
\(17\) 0.321061 + 2.64417i 0.0778687 + 0.641306i 0.978430 + 0.206578i \(0.0662326\pi\)
−0.900561 + 0.434729i \(0.856844\pi\)
\(18\) −1.45127 2.10253i −0.342068 0.495570i
\(19\) 1.03053 0.236420 0.118210 0.992989i \(-0.462284\pi\)
0.118210 + 0.992989i \(0.462284\pi\)
\(20\) 8.05896 11.6754i 1.80204 2.61070i
\(21\) −0.198155 + 1.63195i −0.0432409 + 0.356121i
\(22\) 11.1457 2.37627
\(23\) −5.35152 −1.11587 −0.557934 0.829885i \(-0.688406\pi\)
−0.557934 + 0.829885i \(0.688406\pi\)
\(24\) 0.778110 6.40831i 0.158831 1.30809i
\(25\) −3.60897 + 3.19727i −0.721794 + 0.639454i
\(26\) 5.70929 + 7.22859i 1.11968 + 1.41764i
\(27\) 0.748511 + 0.663123i 0.144051 + 0.127618i
\(28\) −5.57025 + 4.93481i −1.05268 + 0.932591i
\(29\) −1.58367 0.831175i −0.294080 0.154345i 0.311231 0.950334i \(-0.399259\pi\)
−0.605311 + 0.795989i \(0.706951\pi\)
\(30\) −2.83913 + 7.48616i −0.518351 + 1.36678i
\(31\) −5.33342 4.72500i −0.957911 0.848635i 0.0306384 0.999531i \(-0.490246\pi\)
−0.988550 + 0.150895i \(0.951784\pi\)
\(32\) 4.56025 4.04003i 0.806146 0.714183i
\(33\) −4.23593 + 1.04406i −0.737382 + 0.181748i
\(34\) 2.41303 6.36264i 0.413832 1.09118i
\(35\) 4.56186 2.39425i 0.771094 0.404702i
\(36\) 0.545646 + 4.49380i 0.0909410 + 0.748966i
\(37\) −5.21613 4.62109i −0.857526 0.759702i 0.114785 0.993390i \(-0.463382\pi\)
−0.972312 + 0.233688i \(0.924920\pi\)
\(38\) −2.33120 1.22351i −0.378170 0.198479i
\(39\) −2.84696 2.21242i −0.455878 0.354271i
\(40\) −17.9134 + 9.40169i −2.83236 + 1.48654i
\(41\) 7.60788 + 1.87517i 1.18815 + 0.292853i 0.783367 0.621559i \(-0.213500\pi\)
0.404784 + 0.914412i \(0.367347\pi\)
\(42\) 2.38579 3.45642i 0.368136 0.533337i
\(43\) −9.61409 + 8.51734i −1.46614 + 1.29888i −0.599062 + 0.800703i \(0.704460\pi\)
−0.867074 + 0.498180i \(0.834002\pi\)
\(44\) −17.4870 9.17787i −2.63626 1.38362i
\(45\) 0.377754 3.11108i 0.0563122 0.463773i
\(46\) 12.1058 + 6.35363i 1.78491 + 0.936791i
\(47\) −4.84256 + 7.01566i −0.706360 + 1.02334i 0.291410 + 0.956598i \(0.405876\pi\)
−0.997770 + 0.0667415i \(0.978740\pi\)
\(48\) −4.22546 + 6.12164i −0.609893 + 0.883582i
\(49\) 4.17260 1.02845i 0.596085 0.146922i
\(50\) 11.9599 2.94786i 1.69139 0.416890i
\(51\) −0.321061 + 2.64417i −0.0449575 + 0.370258i
\(52\) −3.00522 16.0426i −0.416749 2.22470i
\(53\) 0.328714 + 2.70721i 0.0451524 + 0.371864i 0.997717 + 0.0675282i \(0.0215113\pi\)
−0.952565 + 0.304335i \(0.901566\pi\)
\(54\) −0.905931 2.38874i −0.123282 0.325067i
\(55\) 10.2340 + 9.06650i 1.37995 + 1.22253i
\(56\) 10.3039 2.53967i 1.37691 0.339378i
\(57\) 1.00059 + 0.246623i 0.132531 + 0.0326660i
\(58\) 2.59565 + 3.76045i 0.340825 + 0.493771i
\(59\) 2.10568 + 5.55222i 0.274136 + 0.722838i 0.999409 + 0.0343763i \(0.0109445\pi\)
−0.725273 + 0.688462i \(0.758286\pi\)
\(60\) 10.6189 9.40752i 1.37089 1.21451i
\(61\) −0.0349177 + 0.287573i −0.00447075 + 0.0368199i −0.994774 0.102106i \(-0.967442\pi\)
0.990303 + 0.138926i \(0.0443650\pi\)
\(62\) 6.45510 + 17.0207i 0.819799 + 2.16163i
\(63\) −0.582948 + 1.53711i −0.0734445 + 0.193657i
\(64\) −0.668032 + 0.164655i −0.0835040 + 0.0205819i
\(65\) −0.637853 + 11.2815i −0.0791159 + 1.39930i
\(66\) 10.8218 + 2.66733i 1.33207 + 0.328326i
\(67\) −5.30951 + 7.69215i −0.648659 + 0.939745i 0.351334 + 0.936250i \(0.385728\pi\)
−0.999994 + 0.00349542i \(0.998887\pi\)
\(68\) −9.02522 + 7.99565i −1.09447 + 0.969615i
\(69\) −5.19601 1.28070i −0.625526 0.154178i
\(70\) −13.1621 −1.57317
\(71\) −7.25924 1.78924i −0.861514 0.212344i −0.216282 0.976331i \(-0.569393\pi\)
−0.645232 + 0.763987i \(0.723239\pi\)
\(72\) 2.28911 6.03589i 0.269774 0.711336i
\(73\) 13.9626 7.32812i 1.63420 0.857692i 0.638048 0.769996i \(-0.279742\pi\)
0.996147 0.0876956i \(-0.0279503\pi\)
\(74\) 6.31314 + 16.6464i 0.733887 + 1.93510i
\(75\) −4.26926 + 2.24068i −0.492971 + 0.258731i
\(76\) 2.65003 + 3.83923i 0.303980 + 0.440390i
\(77\) −4.07417 5.90245i −0.464294 0.672647i
\(78\) 3.81348 + 8.38486i 0.431791 + 0.949398i
\(79\) −7.18741 + 10.4128i −0.808646 + 1.17153i 0.173763 + 0.984787i \(0.444407\pi\)
−0.982410 + 0.186739i \(0.940208\pi\)
\(80\) 23.3113 2.60628
\(81\) 0.568065 + 0.822984i 0.0631183 + 0.0914427i
\(82\) −14.9837 13.2744i −1.65467 1.46591i
\(83\) 1.68855 0.416190i 0.185342 0.0456828i −0.145552 0.989351i \(-0.546496\pi\)
0.330894 + 0.943668i \(0.392650\pi\)
\(84\) −6.58937 + 3.45837i −0.718959 + 0.377339i
\(85\) 7.39137 3.87929i 0.801706 0.420768i
\(86\) 31.8606 7.85293i 3.43562 0.846803i
\(87\) −1.33874 1.18602i −0.143528 0.127155i
\(88\) 15.9984 + 23.1776i 1.70543 + 2.47074i
\(89\) −10.3491 −1.09700 −0.548502 0.836149i \(-0.684802\pi\)
−0.548502 + 0.836149i \(0.684802\pi\)
\(90\) −4.54818 + 6.58918i −0.479420 + 0.694560i
\(91\) 1.74110 5.66581i 0.182517 0.593938i
\(92\) −13.7615 19.9370i −1.43474 2.07858i
\(93\) −4.04768 5.86407i −0.419725 0.608076i
\(94\) 19.2839 10.1210i 1.98898 1.04390i
\(95\) −1.14524 3.01975i −0.117499 0.309819i
\(96\) 5.39458 2.83130i 0.550582 0.288968i
\(97\) 1.59287 4.20006i 0.161732 0.426451i −0.829513 0.558487i \(-0.811382\pi\)
0.991245 + 0.132036i \(0.0421513\pi\)
\(98\) −10.6600 2.62745i −1.07682 0.265413i
\(99\) −4.36271 −0.438469
\(100\) −21.1919 5.22334i −2.11919 0.522334i
\(101\) 8.76763 7.76744i 0.872412 0.772890i −0.102674 0.994715i \(-0.532740\pi\)
0.975086 + 0.221825i \(0.0712015\pi\)
\(102\) 3.86559 5.60028i 0.382751 0.554510i
\(103\) −8.77792 2.16356i −0.864914 0.213182i −0.218190 0.975906i \(-0.570015\pi\)
−0.646724 + 0.762724i \(0.723861\pi\)
\(104\) −6.83693 + 22.2484i −0.670416 + 2.18164i
\(105\) 5.00228 1.23295i 0.488172 0.120324i
\(106\) 2.47056 6.51432i 0.239962 0.632727i
\(107\) −6.30249 16.6183i −0.609284 1.60655i −0.783186 0.621788i \(-0.786407\pi\)
0.173901 0.984763i \(-0.444363\pi\)
\(108\) −0.545646 + 4.49380i −0.0525048 + 0.432416i
\(109\) −8.28085 + 7.33619i −0.793161 + 0.702680i −0.958979 0.283477i \(-0.908512\pi\)
0.165818 + 0.986156i \(0.446974\pi\)
\(110\) −12.3863 32.6599i −1.18099 3.11400i
\(111\) −3.95866 5.73511i −0.375739 0.544352i
\(112\) −11.8728 2.92639i −1.12188 0.276518i
\(113\) −0.762429 + 0.187922i −0.0717233 + 0.0176782i −0.275014 0.961440i \(-0.588683\pi\)
0.203291 + 0.979118i \(0.434836\pi\)
\(114\) −1.97065 1.74585i −0.184568 0.163513i
\(115\) 5.94718 + 15.6814i 0.554578 + 1.46230i
\(116\) −0.975908 8.03732i −0.0906108 0.746247i
\(117\) −2.23477 2.82946i −0.206604 0.261583i
\(118\) 1.82859 15.0598i 0.168336 1.38637i
\(119\) −4.25154 + 1.04791i −0.389738 + 0.0960618i
\(120\) −19.6429 + 4.84153i −1.79314 + 0.441969i
\(121\) 4.56338 6.61120i 0.414853 0.601019i
\(122\) 0.420411 0.609071i 0.0380622 0.0551427i
\(123\) 6.93805 + 3.64137i 0.625583 + 0.328331i
\(124\) 3.88794 32.0200i 0.349147 2.87548i
\(125\) −0.495234 0.259919i −0.0442951 0.0232478i
\(126\) 3.14364 2.78502i 0.280058 0.248110i
\(127\) 4.11981 5.96858i 0.365574 0.529626i −0.596428 0.802666i \(-0.703414\pi\)
0.962002 + 0.273041i \(0.0880294\pi\)
\(128\) −10.1241 2.49538i −0.894856 0.220562i
\(129\) −11.3731 + 5.96904i −1.00134 + 0.525545i
\(130\) 14.8370 24.7630i 1.30129 2.17186i
\(131\) 7.25197 + 3.80613i 0.633608 + 0.332543i 0.750764 0.660571i \(-0.229686\pi\)
−0.117156 + 0.993113i \(0.537378\pi\)
\(132\) −14.7824 13.0961i −1.28665 1.13987i
\(133\) 0.204205 + 1.68178i 0.0177068 + 0.145829i
\(134\) 21.1433 11.0969i 1.82651 0.958624i
\(135\) 1.11131 2.93028i 0.0956462 0.252198i
\(136\) 16.6949 4.11492i 1.43157 0.352851i
\(137\) 6.42428 5.69142i 0.548863 0.486250i −0.342514 0.939513i \(-0.611278\pi\)
0.891377 + 0.453262i \(0.149740\pi\)
\(138\) 10.2335 + 9.06611i 0.871136 + 0.771759i
\(139\) 6.52602 17.2077i 0.553529 1.45954i −0.307781 0.951457i \(-0.599586\pi\)
0.861310 0.508080i \(-0.169644\pi\)
\(140\) 20.6506 + 10.8383i 1.74530 + 0.916002i
\(141\) −6.38081 + 5.65290i −0.537361 + 0.476060i
\(142\) 14.2970 + 12.6661i 1.19978 + 1.06291i
\(143\) 15.6974 1.01154i 1.31268 0.0845894i
\(144\) −5.56768 + 4.93254i −0.463973 + 0.411045i
\(145\) −0.675627 + 5.56429i −0.0561077 + 0.462089i
\(146\) −40.2855 −3.33405
\(147\) 4.29747 0.354450
\(148\) 3.80243 31.3158i 0.312558 2.57415i
\(149\) 1.23506 1.78929i 0.101180 0.146585i −0.769124 0.639100i \(-0.779307\pi\)
0.870304 + 0.492515i \(0.163922\pi\)
\(150\) 12.3179 1.00575
\(151\) 8.14322 + 11.7975i 0.662686 + 0.960066i 0.999827 + 0.0186122i \(0.00592478\pi\)
−0.337141 + 0.941454i \(0.609460\pi\)
\(152\) −0.801868 6.60397i −0.0650401 0.535653i
\(153\) −0.944524 + 2.49050i −0.0763602 + 0.201345i
\(154\) 2.20857 + 18.1892i 0.177971 + 1.46573i
\(155\) −7.91849 + 20.8793i −0.636029 + 1.67707i
\(156\) 0.921346 16.2956i 0.0737667 1.30469i
\(157\) −4.09191 10.7895i −0.326570 0.861095i −0.993276 0.115774i \(-0.963065\pi\)
0.666705 0.745321i \(-0.267704\pi\)
\(158\) 28.6214 15.0217i 2.27700 1.19506i
\(159\) −0.328714 + 2.70721i −0.0260688 + 0.214696i
\(160\) −16.9063 8.87309i −1.33656 0.701479i
\(161\) −1.06043 8.73341i −0.0835734 0.688289i
\(162\) −0.307942 2.53613i −0.0241942 0.199258i
\(163\) −14.9064 13.2059i −1.16756 1.03437i −0.998813 0.0487076i \(-0.984490\pi\)
−0.168746 0.985660i \(-0.553972\pi\)
\(164\) 12.5779 + 33.1651i 0.982166 + 2.58976i
\(165\) 7.76683 + 11.2522i 0.604647 + 0.875982i
\(166\) −4.31384 1.06327i −0.334819 0.0825254i
\(167\) −3.79848 1.99360i −0.293935 0.154269i 0.311309 0.950309i \(-0.399232\pi\)
−0.605245 + 0.796039i \(0.706925\pi\)
\(168\) 10.6122 0.818751
\(169\) 8.69692 + 9.66248i 0.668994 + 0.743268i
\(170\) −21.3259 −1.63562
\(171\) 0.912491 + 0.478912i 0.0697799 + 0.0366233i
\(172\) −56.4541 13.9147i −4.30458 1.06098i
\(173\) −3.57328 5.17679i −0.271672 0.393584i 0.663273 0.748377i \(-0.269167\pi\)
−0.934945 + 0.354793i \(0.884551\pi\)
\(174\) 1.62029 + 4.27236i 0.122834 + 0.323886i
\(175\) −5.93292 5.25611i −0.448486 0.397324i
\(176\) −3.91157 32.2147i −0.294846 2.42828i
\(177\) 0.715759 + 5.89481i 0.0537998 + 0.443081i
\(178\) 23.4110 + 12.2871i 1.75473 + 0.920954i
\(179\) 0.130800 1.07723i 0.00977642 0.0805161i −0.987004 0.160696i \(-0.948626\pi\)
0.996780 + 0.0801795i \(0.0255493\pi\)
\(180\) 12.5617 6.59289i 0.936294 0.491405i
\(181\) 3.49365 + 9.21198i 0.259681 + 0.684721i 0.999923 + 0.0123817i \(0.00394133\pi\)
−0.740243 + 0.672340i \(0.765289\pi\)
\(182\) −10.6654 + 10.7497i −0.790570 + 0.796817i
\(183\) −0.102724 + 0.270860i −0.00759356 + 0.0200226i
\(184\) 4.16407 + 34.2942i 0.306979 + 2.52820i
\(185\) −7.74435 + 20.4202i −0.569376 + 1.50132i
\(186\) 2.19421 + 18.0709i 0.160887 + 1.32502i
\(187\) −6.60119 9.56347i −0.482727 0.699350i
\(188\) −38.5895 −2.81443
\(189\) −0.933862 + 1.35293i −0.0679285 + 0.0984114i
\(190\) −0.994537 + 8.19075i −0.0721513 + 0.594219i
\(191\) −6.00704 −0.434654 −0.217327 0.976099i \(-0.569734\pi\)
−0.217327 + 0.976099i \(0.569734\pi\)
\(192\) −0.688025 −0.0496539
\(193\) −0.776638 + 6.39619i −0.0559036 + 0.460408i 0.937697 + 0.347455i \(0.112954\pi\)
−0.993600 + 0.112953i \(0.963969\pi\)
\(194\) −8.58983 + 7.60992i −0.616714 + 0.546361i
\(195\) −3.31917 + 10.8011i −0.237690 + 0.773481i
\(196\) 14.5614 + 12.9003i 1.04010 + 0.921448i
\(197\) −3.48439 + 3.08690i −0.248253 + 0.219933i −0.778067 0.628181i \(-0.783800\pi\)
0.529815 + 0.848113i \(0.322261\pi\)
\(198\) 9.86900 + 5.17965i 0.701360 + 0.368102i
\(199\) 9.51379 25.0858i 0.674415 1.77828i 0.0479305 0.998851i \(-0.484737\pi\)
0.626484 0.779434i \(-0.284493\pi\)
\(200\) 23.2973 + 20.6396i 1.64737 + 1.45944i
\(201\) −6.99607 + 6.19798i −0.493465 + 0.437172i
\(202\) −29.0555 + 7.16153i −2.04434 + 0.503883i
\(203\) 1.04262 2.74917i 0.0731778 0.192954i
\(204\) −10.6764 + 5.60343i −0.747501 + 0.392319i
\(205\) −2.95992 24.3771i −0.206730 1.70257i
\(206\) 17.2881 + 15.3159i 1.20452 + 1.06711i
\(207\) −4.73853 2.48697i −0.329351 0.172857i
\(208\) 18.8893 19.0386i 1.30974 1.32009i
\(209\) −3.98093 + 2.08935i −0.275367 + 0.144524i
\(210\) −12.7796 3.14989i −0.881878 0.217363i
\(211\) 9.88702 14.3238i 0.680651 0.986093i −0.318619 0.947883i \(-0.603219\pi\)
0.999270 0.0382101i \(-0.0121656\pi\)
\(212\) −9.24037 + 8.18625i −0.634631 + 0.562234i
\(213\) −6.62011 3.47450i −0.453602 0.238069i
\(214\) −5.47314 + 45.0754i −0.374136 + 3.08129i
\(215\) 35.6424 + 18.7066i 2.43079 + 1.27578i
\(216\) 3.66707 5.31267i 0.249513 0.361482i
\(217\) 6.65412 9.64016i 0.451711 0.654417i
\(218\) 27.4423 6.76392i 1.85863 0.458110i
\(219\) 15.3106 3.77372i 1.03459 0.255004i
\(220\) −7.46031 + 61.4411i −0.502974 + 4.14236i
\(221\) 2.82103 9.18005i 0.189763 0.617517i
\(222\) 2.14595 + 17.6735i 0.144027 + 1.18617i
\(223\) 7.39301 + 19.4938i 0.495072 + 1.30540i 0.917043 + 0.398789i \(0.130569\pi\)
−0.421970 + 0.906610i \(0.638661\pi\)
\(224\) 7.49676 + 6.64155i 0.500899 + 0.443757i
\(225\) −4.68143 + 1.15387i −0.312095 + 0.0769246i
\(226\) 1.94782 + 0.480096i 0.129567 + 0.0319355i
\(227\) −6.41581 9.29490i −0.425832 0.616924i 0.550074 0.835116i \(-0.314600\pi\)
−0.975906 + 0.218192i \(0.929984\pi\)
\(228\) 1.65424 + 4.36187i 0.109555 + 0.288872i
\(229\) 6.97025 6.17510i 0.460607 0.408062i −0.400650 0.916231i \(-0.631216\pi\)
0.861258 + 0.508169i \(0.169677\pi\)
\(230\) 5.16459 42.5343i 0.340543 2.80463i
\(231\) −2.54323 6.70595i −0.167332 0.441219i
\(232\) −4.09416 + 10.7954i −0.268795 + 0.708753i
\(233\) 25.4116 6.26339i 1.66477 0.410329i 0.709179 0.705029i \(-0.249066\pi\)
0.955590 + 0.294700i \(0.0952197\pi\)
\(234\) 1.69603 + 9.05383i 0.110873 + 0.591868i
\(235\) 25.9394 + 6.39349i 1.69210 + 0.417066i
\(236\) −15.2699 + 22.1223i −0.993988 + 1.44004i
\(237\) −9.47049 + 8.39012i −0.615174 + 0.544997i
\(238\) 10.8617 + 2.67716i 0.704057 + 0.173535i
\(239\) 25.3600 1.64040 0.820201 0.572075i \(-0.193861\pi\)
0.820201 + 0.572075i \(0.193861\pi\)
\(240\) 22.6339 + 5.57875i 1.46101 + 0.360107i
\(241\) −3.15084 + 8.30807i −0.202963 + 0.535170i −0.997391 0.0721886i \(-0.977002\pi\)
0.794428 + 0.607359i \(0.207771\pi\)
\(242\) −18.1722 + 9.53748i −1.16815 + 0.613093i
\(243\) 0.354605 + 0.935016i 0.0227479 + 0.0599813i
\(244\) −1.16114 + 0.609414i −0.0743344 + 0.0390137i
\(245\) −7.65069 11.0839i −0.488785 0.708127i
\(246\) −11.3715 16.4745i −0.725022 1.05038i
\(247\) −3.39427 1.51160i −0.215972 0.0961807i
\(248\) −26.1293 + 37.8548i −1.65921 + 2.40378i
\(249\) 1.73908 0.110210
\(250\) 0.811693 + 1.17594i 0.0513359 + 0.0743730i
\(251\) 7.65921 + 6.78547i 0.483445 + 0.428295i 0.869315 0.494258i \(-0.164560\pi\)
−0.385870 + 0.922553i \(0.626099\pi\)
\(252\) −7.22553 + 1.78093i −0.455166 + 0.112188i
\(253\) 20.6728 10.8499i 1.29969 0.682130i
\(254\) −16.4058 + 8.61042i −1.02939 + 0.540266i
\(255\) 8.10496 1.99769i 0.507552 0.125100i
\(256\) 20.9694 + 18.5773i 1.31059 + 1.16108i
\(257\) −5.76226 8.34807i −0.359440 0.520738i 0.600992 0.799255i \(-0.294773\pi\)
−0.960431 + 0.278517i \(0.910157\pi\)
\(258\) 32.8141 2.04292
\(259\) 6.50778 9.42815i 0.404374 0.585837i
\(260\) −43.6695 + 26.6344i −2.70827 + 1.65179i
\(261\) −1.01600 1.47194i −0.0628891 0.0911106i
\(262\) −11.8860 17.2199i −0.734322 1.06385i
\(263\) −21.3249 + 11.1922i −1.31495 + 0.690139i −0.968754 0.248023i \(-0.920219\pi\)
−0.346196 + 0.938162i \(0.612527\pi\)
\(264\) 9.98671 + 26.3328i 0.614640 + 1.62067i
\(265\) 7.56757 3.97177i 0.464872 0.243984i
\(266\) 1.53476 4.04684i 0.0941024 0.248128i
\(267\) −10.0484 2.47671i −0.614952 0.151572i
\(268\) −42.3105 −2.58452
\(269\) −27.8821 6.87232i −1.70000 0.419013i −0.734334 0.678789i \(-0.762505\pi\)
−0.965669 + 0.259776i \(0.916351\pi\)
\(270\) −5.99291 + 5.30926i −0.364717 + 0.323111i
\(271\) −12.0349 + 17.4356i −0.731071 + 1.05914i 0.264432 + 0.964404i \(0.414816\pi\)
−0.995503 + 0.0947347i \(0.969800\pi\)
\(272\) −19.2370 4.74150i −1.16642 0.287496i
\(273\) 3.04643 5.08450i 0.184378 0.307728i
\(274\) −21.2897 + 5.24744i −1.28616 + 0.317010i
\(275\) 7.45909 19.6680i 0.449800 1.18603i
\(276\) −8.59040 22.6510i −0.517081 1.36343i
\(277\) 1.35168 11.1321i 0.0812148 0.668864i −0.894072 0.447923i \(-0.852164\pi\)
0.975287 0.220941i \(-0.0709129\pi\)
\(278\) −35.1926 + 31.1779i −2.11071 + 1.86993i
\(279\) −2.52670 6.66235i −0.151269 0.398864i
\(280\) −18.8927 27.3708i −1.12906 1.63572i
\(281\) 11.3171 + 2.78942i 0.675123 + 0.166403i 0.561948 0.827172i \(-0.310052\pi\)
0.113174 + 0.993575i \(0.463898\pi\)
\(282\) 21.1456 5.21193i 1.25920 0.310366i
\(283\) −12.2852 10.8837i −0.730280 0.646971i 0.213729 0.976893i \(-0.431439\pi\)
−0.944008 + 0.329922i \(0.892978\pi\)
\(284\) −12.0015 31.6453i −0.712156 1.87780i
\(285\) −0.389288 3.20607i −0.0230594 0.189911i
\(286\) −36.7105 16.3486i −2.17074 0.966714i
\(287\) −1.55265 + 12.7873i −0.0916503 + 0.754808i
\(288\) 5.91540 1.45802i 0.348568 0.0859144i
\(289\) 9.61744 2.37048i 0.565731 0.139440i
\(290\) 8.13459 11.7850i 0.477680 0.692038i
\(291\) 2.55173 3.69681i 0.149585 0.216711i
\(292\) 63.2058 + 33.1730i 3.69884 + 1.94130i
\(293\) −1.21813 + 10.0322i −0.0711636 + 0.586085i 0.912889 + 0.408208i \(0.133846\pi\)
−0.984053 + 0.177877i \(0.943077\pi\)
\(294\) −9.72144 5.10221i −0.566966 0.297567i
\(295\) 13.9295 12.3405i 0.811007 0.718489i
\(296\) −25.5547 + 37.0223i −1.48533 + 2.15188i
\(297\) −4.23593 1.04406i −0.245794 0.0605827i
\(298\) −4.91821 + 2.58128i −0.284904 + 0.149529i
\(299\) 17.6263 + 7.84967i 1.01936 + 0.453958i
\(300\) −19.3261 10.1431i −1.11579 0.585613i
\(301\) −15.8050 14.0020i −0.910982 0.807060i
\(302\) −4.41436 36.3555i −0.254018 2.09203i
\(303\) 10.3717 5.44350i 0.595840 0.312721i
\(304\) −2.71821 + 7.16733i −0.155900 + 0.411074i
\(305\) 0.881473 0.217264i 0.0504730 0.0124405i
\(306\) 5.09350 4.51245i 0.291176 0.257960i
\(307\) −9.63082 8.53217i −0.549660 0.486956i 0.341976 0.939709i \(-0.388904\pi\)
−0.891636 + 0.452752i \(0.850442\pi\)
\(308\) 11.5127 30.3565i 0.655997 1.72972i
\(309\) −8.00508 4.20139i −0.455393 0.239009i
\(310\) 42.7018 37.8305i 2.42530 2.14863i
\(311\) 7.89511 + 6.99446i 0.447691 + 0.396619i 0.856621 0.515946i \(-0.172560\pi\)
−0.408930 + 0.912566i \(0.634098\pi\)
\(312\) −11.9627 + 19.9657i −0.677252 + 1.13034i
\(313\) −26.0244 + 23.0556i −1.47098 + 1.30318i −0.612355 + 0.790583i \(0.709778\pi\)
−0.858630 + 0.512596i \(0.828684\pi\)
\(314\) −3.55346 + 29.2654i −0.200533 + 1.65154i
\(315\) 5.15198 0.290281
\(316\) −57.2751 −3.22198
\(317\) 1.11899 9.21575i 0.0628490 0.517608i −0.926955 0.375172i \(-0.877584\pi\)
0.989804 0.142436i \(-0.0454934\pi\)
\(318\) 3.95774 5.73378i 0.221939 0.321535i
\(319\) 7.80286 0.436876
\(320\) 1.22487 + 1.77454i 0.0684726 + 0.0991996i
\(321\) −2.14233 17.6437i −0.119573 0.984774i
\(322\) −7.96997 + 21.0151i −0.444149 + 1.17113i
\(323\) 0.330864 + 2.72491i 0.0184097 + 0.151618i
\(324\) −1.60523 + 4.23264i −0.0891793 + 0.235146i
\(325\) 16.5767 5.23716i 0.919508 0.290506i
\(326\) 18.0414 + 47.5712i 0.999219 + 2.63473i
\(327\) −9.79589 + 5.14128i −0.541714 + 0.284313i
\(328\) 6.09694 50.2128i 0.336647 2.77254i
\(329\) −12.4088 6.51263i −0.684119 0.359053i
\(330\) −4.21032 34.6751i −0.231771 1.90880i
\(331\) −0.875720 7.21220i −0.0481339 0.396419i −0.996787 0.0800997i \(-0.974476\pi\)
0.948653 0.316319i \(-0.102447\pi\)
\(332\) 5.89264 + 5.22043i 0.323401 + 0.286508i
\(333\) −2.47113 6.51583i −0.135417 0.357065i
\(334\) 6.22574 + 9.01955i 0.340657 + 0.493528i
\(335\) 28.4406 + 7.00999i 1.55388 + 0.382996i
\(336\) −10.8275 5.68271i −0.590689 0.310017i
\(337\) −30.5460 −1.66395 −0.831973 0.554816i \(-0.812789\pi\)
−0.831973 + 0.554816i \(0.812789\pi\)
\(338\) −8.20171 32.1833i −0.446114 1.75054i
\(339\) −0.785247 −0.0426488
\(340\) 33.4593 + 17.5608i 1.81458 + 0.952367i
\(341\) 30.1827 + 7.43936i 1.63448 + 0.402864i
\(342\) −1.49558 2.16672i −0.0808717 0.117163i
\(343\) 6.58584 + 17.3654i 0.355602 + 0.937645i
\(344\) 62.0626 + 54.9827i 3.34619 + 2.96447i
\(345\) 2.02156 + 16.6490i 0.108837 + 0.896353i
\(346\) 1.93704 + 15.9530i 0.104136 + 0.857637i
\(347\) 8.07858 + 4.23997i 0.433681 + 0.227613i 0.667413 0.744688i \(-0.267402\pi\)
−0.233732 + 0.972301i \(0.575094\pi\)
\(348\) 0.975908 8.03732i 0.0523142 0.430846i
\(349\) −7.24106 + 3.80040i −0.387605 + 0.203431i −0.647258 0.762271i \(-0.724084\pi\)
0.259653 + 0.965702i \(0.416392\pi\)
\(350\) 7.18067 + 18.9339i 0.383823 + 1.01206i
\(351\) −1.49269 3.28205i −0.0796741 0.175183i
\(352\) −9.42522 + 24.8523i −0.502366 + 1.32463i
\(353\) 1.28263 + 10.5634i 0.0682676 + 0.562234i 0.986207 + 0.165515i \(0.0529285\pi\)
−0.917940 + 0.396720i \(0.870148\pi\)
\(354\) 5.37951 14.1846i 0.285918 0.753903i
\(355\) 2.82428 + 23.2600i 0.149897 + 1.23451i
\(356\) −26.6130 38.5555i −1.41048 2.04344i
\(357\) −4.37878 −0.231750
\(358\) −1.57484 + 2.28154i −0.0832327 + 0.120583i
\(359\) −0.501516 + 4.13036i −0.0264690 + 0.217992i −0.999942 0.0108119i \(-0.996558\pi\)
0.973473 + 0.228804i \(0.0734815\pi\)
\(360\) −20.2307 −1.06625
\(361\) −17.9380 −0.944105
\(362\) 3.03392 24.9865i 0.159459 1.31326i
\(363\) 6.01295 5.32701i 0.315598 0.279595i
\(364\) 25.5852 8.08327i 1.34103 0.423679i
\(365\) −36.9902 32.7704i −1.93615 1.71528i
\(366\) 0.553955 0.490761i 0.0289557 0.0256525i
\(367\) −21.3202 11.1897i −1.11291 0.584098i −0.194962 0.980811i \(-0.562458\pi\)
−0.917943 + 0.396713i \(0.870151\pi\)
\(368\) 14.1156 37.2197i 0.735824 1.94021i
\(369\) 5.86501 + 5.19594i 0.305320 + 0.270490i
\(370\) 41.7627 36.9985i 2.17114 1.92346i
\(371\) −4.35289 + 1.07289i −0.225991 + 0.0557017i
\(372\) 11.4379 30.1591i 0.593025 1.56368i
\(373\) 0.783601 0.411266i 0.0405733 0.0212945i −0.444315 0.895871i \(-0.646553\pi\)
0.484888 + 0.874576i \(0.338860\pi\)
\(374\) 3.57844 + 29.4711i 0.185037 + 1.52391i
\(375\) −0.418641 0.370883i −0.0216185 0.0191523i
\(376\) 48.7266 + 25.5737i 2.51288 + 1.31886i
\(377\) 3.99696 + 5.06059i 0.205854 + 0.260634i
\(378\) 3.71879 1.95177i 0.191274 0.100388i
\(379\) −32.8010 8.08471i −1.68487 0.415284i −0.723454 0.690373i \(-0.757447\pi\)
−0.961419 + 0.275089i \(0.911293\pi\)
\(380\) 8.30502 12.0319i 0.426039 0.617224i
\(381\) 5.42847 4.80921i 0.278109 0.246383i
\(382\) 13.5887 + 7.13190i 0.695258 + 0.364900i
\(383\) 0.152440 1.25545i 0.00778931 0.0641507i −0.988296 0.152549i \(-0.951252\pi\)
0.996085 + 0.0883984i \(0.0281749\pi\)
\(384\) −9.23277 4.84573i −0.471158 0.247283i
\(385\) −12.7682 + 18.4979i −0.650726 + 0.942739i
\(386\) 9.35077 13.5469i 0.475942 0.689521i
\(387\) −12.4711 + 3.07384i −0.633940 + 0.156252i
\(388\) 19.7434 4.86630i 1.00232 0.247049i
\(389\) −1.74166 + 14.3439i −0.0883056 + 0.727262i 0.879559 + 0.475790i \(0.157838\pi\)
−0.967864 + 0.251472i \(0.919085\pi\)
\(390\) 20.3320 20.4927i 1.02955 1.03769i
\(391\) −1.71816 14.1503i −0.0868912 0.715614i
\(392\) −9.83739 25.9391i −0.496863 1.31012i
\(393\) 6.13038 + 5.43104i 0.309237 + 0.273960i
\(394\) 11.5471 2.84610i 0.581734 0.143385i
\(395\) 38.4997 + 9.48932i 1.93713 + 0.477460i
\(396\) −11.2188 16.2532i −0.563765 0.816754i
\(397\) 1.93466 + 5.10128i 0.0970978 + 0.256026i 0.974761 0.223253i \(-0.0716676\pi\)
−0.877663 + 0.479279i \(0.840898\pi\)
\(398\) −51.3047 + 45.4520i −2.57167 + 2.27830i
\(399\) −0.204205 + 1.68178i −0.0102230 + 0.0841942i
\(400\) −12.7176 33.5336i −0.635882 1.67668i
\(401\) −5.68429 + 14.9882i −0.283860 + 0.748476i 0.714926 + 0.699201i \(0.246461\pi\)
−0.998785 + 0.0492759i \(0.984309\pi\)
\(402\) 23.1846 5.71449i 1.15634 0.285013i
\(403\) 10.6360 + 23.3859i 0.529817 + 1.16493i
\(404\) 51.4836 + 12.6896i 2.56141 + 0.631330i
\(405\) 1.78028 2.57918i 0.0884627 0.128160i
\(406\) −5.62252 + 4.98112i −0.279041 + 0.247209i
\(407\) 29.5189 + 7.27575i 1.46320 + 0.360645i
\(408\) 17.1945 0.851255
\(409\) 21.3769 + 5.26893i 1.05702 + 0.260532i 0.729265 0.684231i \(-0.239862\pi\)
0.327754 + 0.944763i \(0.393708\pi\)
\(410\) −22.2462 + 58.6583i −1.09866 + 2.89693i
\(411\) 7.59965 3.98860i 0.374863 0.196743i
\(412\) −14.5123 38.2657i −0.714967 1.88521i
\(413\) −8.64370 + 4.53656i −0.425329 + 0.223230i
\(414\) 7.76650 + 11.2517i 0.381702 + 0.552992i
\(415\) −3.09605 4.48540i −0.151979 0.220180i
\(416\) −20.9461 + 6.61762i −1.02697 + 0.324455i
\(417\) 10.4545 15.1459i 0.511957 0.741697i
\(418\) 11.4860 0.561798
\(419\) 17.5866 + 25.4786i 0.859162 + 1.24471i 0.968075 + 0.250660i \(0.0806478\pi\)
−0.108913 + 0.994051i \(0.534737\pi\)
\(420\) 17.4568 + 15.4654i 0.851804 + 0.754632i
\(421\) 9.00727 2.22009i 0.438987 0.108201i −0.0136268 0.999907i \(-0.504338\pi\)
0.452614 + 0.891707i \(0.350492\pi\)
\(422\) −39.3718 + 20.6639i −1.91659 + 1.00590i
\(423\) −7.54822 + 3.96161i −0.367007 + 0.192620i
\(424\) 17.0929 4.21301i 0.830103 0.204602i
\(425\) −9.61283 8.51623i −0.466291 0.413098i
\(426\) 10.8504 + 15.7195i 0.525704 + 0.761614i
\(427\) −0.476224 −0.0230461
\(428\) 45.7043 66.2141i 2.20920 3.20058i
\(429\) 15.4833 + 2.77449i 0.747543 + 0.133953i
\(430\) −58.4182 84.6334i −2.81718 4.08138i
\(431\) −2.19156 3.17502i −0.105564 0.152935i 0.766642 0.642075i \(-0.221926\pi\)
−0.872206 + 0.489140i \(0.837311\pi\)
\(432\) −6.58633 + 3.45677i −0.316885 + 0.166314i
\(433\) 12.3319 + 32.5165i 0.592633 + 1.56264i 0.809922 + 0.586537i \(0.199509\pi\)
−0.217289 + 0.976107i \(0.569721\pi\)
\(434\) −26.4978 + 13.9071i −1.27194 + 0.667564i
\(435\) −1.98762 + 5.24091i −0.0952989 + 0.251282i
\(436\) −48.6252 11.9850i −2.32873 0.573979i
\(437\) −5.51491 −0.263814
\(438\) −39.1149 9.64095i −1.86898 0.460662i
\(439\) 24.0022 21.2641i 1.14556 1.01488i 0.145892 0.989301i \(-0.453395\pi\)
0.999673 0.0255810i \(-0.00814356\pi\)
\(440\) 50.1378 72.6372i 2.39023 3.46284i
\(441\) 4.17260 + 1.02845i 0.198695 + 0.0489740i
\(442\) −17.2806 + 17.4172i −0.821955 + 0.828450i
\(443\) −14.1354 + 3.48407i −0.671594 + 0.165533i −0.560345 0.828260i \(-0.689331\pi\)
−0.111249 + 0.993793i \(0.535485\pi\)
\(444\) 11.1863 29.4959i 0.530879 1.39981i
\(445\) 11.5011 + 30.3258i 0.545203 + 1.43758i
\(446\) 6.42016 52.8748i 0.304003 2.50369i
\(447\) 1.62738 1.44173i 0.0769723 0.0681915i
\(448\) −0.401082 1.05757i −0.0189494 0.0499654i
\(449\) −10.6519 15.4319i −0.502693 0.728277i 0.486695 0.873572i \(-0.338202\pi\)
−0.989388 + 0.145295i \(0.953587\pi\)
\(450\) 11.9599 + 2.94786i 0.563797 + 0.138963i
\(451\) −33.1910 + 8.18084i −1.56290 + 0.385221i
\(452\) −2.66070 2.35718i −0.125149 0.110872i
\(453\) 5.08327 + 13.4035i 0.238833 + 0.629750i
\(454\) 3.47795 + 28.6435i 0.163228 + 1.34431i
\(455\) −18.5373 + 1.19454i −0.869042 + 0.0560011i
\(456\) 0.801868 6.60397i 0.0375509 0.309259i
\(457\) 4.64877 1.14582i 0.217460 0.0535991i −0.129080 0.991634i \(-0.541202\pi\)
0.346540 + 0.938035i \(0.387356\pi\)
\(458\) −23.0990 + 5.69340i −1.07935 + 0.266035i
\(459\) −1.51309 + 2.19210i −0.0706252 + 0.102318i
\(460\) −43.1277 + 62.4813i −2.01084 + 2.91320i
\(461\) −32.2511 16.9267i −1.50208 0.788354i −0.504888 0.863185i \(-0.668466\pi\)
−0.997196 + 0.0748307i \(0.976158\pi\)
\(462\) −2.20857 + 18.1892i −0.102752 + 0.846237i
\(463\) 15.2537 + 8.00573i 0.708897 + 0.372058i 0.780313 0.625389i \(-0.215060\pi\)
−0.0714161 + 0.997447i \(0.522752\pi\)
\(464\) 9.95800 8.82202i 0.462289 0.409552i
\(465\) −12.6852 + 18.3776i −0.588260 + 0.852241i
\(466\) −64.9205 16.0015i −3.00739 0.741254i
\(467\) 32.6573 17.1399i 1.51120 0.793139i 0.513319 0.858198i \(-0.328416\pi\)
0.997881 + 0.0650583i \(0.0207234\pi\)
\(468\) 4.79436 15.6016i 0.221620 0.721184i
\(469\) −13.6053 7.14061i −0.628234 0.329723i
\(470\) −51.0876 45.2597i −2.35650 2.08767i
\(471\) −1.39092 11.4552i −0.0640900 0.527829i
\(472\) 33.9419 17.8141i 1.56230 0.819961i
\(473\) 19.8706 52.3945i 0.913651 2.40910i
\(474\) 31.3847 7.73563i 1.44155 0.355309i
\(475\) −3.71916 + 3.29489i −0.170647 + 0.151180i
\(476\) −14.8369 13.1443i −0.680047 0.602470i
\(477\) −0.967040 + 2.54987i −0.0442777 + 0.116751i
\(478\) −57.3676 30.1088i −2.62393 1.37715i
\(479\) −1.93400 + 1.71338i −0.0883668 + 0.0782861i −0.706150 0.708063i \(-0.749569\pi\)
0.617783 + 0.786349i \(0.288031\pi\)
\(480\) −14.2915 12.6612i −0.652316 0.577902i
\(481\) 10.4021 + 22.8716i 0.474295 + 1.04285i
\(482\) 16.9914 15.0531i 0.773938 0.685649i
\(483\) 1.06043 8.73341i 0.0482511 0.397384i
\(484\) 36.3648 1.65294
\(485\) −14.0775 −0.639227
\(486\) 0.307942 2.53613i 0.0139686 0.115041i
\(487\) −1.28645 + 1.86374i −0.0582944 + 0.0844541i −0.851047 0.525089i \(-0.824032\pi\)
0.792753 + 0.609544i \(0.208647\pi\)
\(488\) 1.87003 0.0846521
\(489\) −11.3129 16.3895i −0.511585 0.741159i
\(490\) 4.14737 + 34.1566i 0.187359 + 1.54304i
\(491\) −9.94849 + 26.2320i −0.448969 + 1.18383i 0.499318 + 0.866419i \(0.333584\pi\)
−0.948287 + 0.317415i \(0.897185\pi\)
\(492\) 4.27545 + 35.2115i 0.192752 + 1.58746i
\(493\) 1.68932 4.45436i 0.0760829 0.200614i
\(494\) 5.88361 + 7.44929i 0.264716 + 0.335160i
\(495\) 4.84831 + 12.7839i 0.217915 + 0.574596i
\(496\) 46.9301 24.6308i 2.10722 1.10596i
\(497\) 1.48150 12.2013i 0.0664544 0.547302i
\(498\) −3.93403 2.06474i −0.176288 0.0925231i
\(499\) 1.59850 + 13.1648i 0.0715587 + 0.589339i 0.983746 + 0.179565i \(0.0574692\pi\)
−0.912187 + 0.409773i \(0.865608\pi\)
\(500\) −0.305179 2.51337i −0.0136480 0.112401i
\(501\) −3.21101 2.84470i −0.143457 0.127092i
\(502\) −9.27002 24.4430i −0.413741 1.09095i
\(503\) 2.64687 + 3.83466i 0.118018 + 0.170979i 0.877541 0.479502i \(-0.159183\pi\)
−0.759523 + 0.650481i \(0.774567\pi\)
\(504\) 10.3039 + 2.53967i 0.458970 + 0.113126i
\(505\) −32.5043 17.0596i −1.44642 0.759141i
\(506\) −59.6463 −2.65160
\(507\) 6.13182 + 11.4630i 0.272324 + 0.509090i
\(508\) 32.8300 1.45660
\(509\) −2.08586 1.09475i −0.0924543 0.0485238i 0.417862 0.908510i \(-0.362779\pi\)
−0.510317 + 0.859987i \(0.670472\pi\)
\(510\) −20.7062 5.10363i −0.916888 0.225993i
\(511\) 14.7259 + 21.3341i 0.651434 + 0.943766i
\(512\) −17.9845 47.4213i −0.794811 2.09574i
\(513\) 0.771365 + 0.683369i 0.0340566 + 0.0301715i
\(514\) 3.12366 + 25.7257i 0.137779 + 1.13471i
\(515\) 3.41513 + 28.1261i 0.150489 + 1.23939i
\(516\) −51.4836 27.0207i −2.26644 1.18952i
\(517\) 4.48283 36.9195i 0.197155 1.62372i
\(518\) −25.9151 + 13.6013i −1.13864 + 0.597606i
\(519\) −2.23056 5.88151i −0.0979108 0.258170i
\(520\) 72.7919 4.69072i 3.19214 0.205702i
\(521\) 3.83720 10.1179i 0.168111 0.443271i −0.824313 0.566134i \(-0.808438\pi\)
0.992424 + 0.122863i \(0.0392076\pi\)
\(522\) 0.550766 + 4.53597i 0.0241064 + 0.198534i
\(523\) −14.9306 + 39.3689i −0.652871 + 1.72148i 0.0387799 + 0.999248i \(0.487653\pi\)
−0.691651 + 0.722232i \(0.743116\pi\)
\(524\) 4.46889 + 36.8046i 0.195224 + 1.60782i
\(525\) −4.50265 6.52321i −0.196512 0.284696i
\(526\) 61.5277 2.68273
\(527\) 10.7814 15.6195i 0.469644 0.680397i
\(528\) 3.91157 32.2147i 0.170229 1.40197i
\(529\) 5.63875 0.245163
\(530\) −21.8343 −0.948422
\(531\) −0.715759 + 5.89481i −0.0310613 + 0.255813i
\(532\) −5.74032 + 5.08548i −0.248875 + 0.220484i
\(533\) −22.3076 17.3356i −0.966248 0.750888i
\(534\) 19.7903 + 17.5327i 0.856409 + 0.758712i
\(535\) −41.6922 + 36.9361i −1.80251 + 1.59689i
\(536\) 53.4251 + 28.0396i 2.30761 + 1.21113i
\(537\) 0.384797 1.01463i 0.0166052 0.0437844i
\(538\) 54.9137 + 48.6493i 2.36750 + 2.09742i
\(539\) −14.0335 + 12.4326i −0.604468 + 0.535512i
\(540\) 13.7745 3.39510i 0.592758 0.146102i
\(541\) −7.51086 + 19.8045i −0.322917 + 0.851462i 0.671013 + 0.741446i \(0.265860\pi\)
−0.993930 + 0.110016i \(0.964910\pi\)
\(542\) 47.9252 25.1531i 2.05856 1.08042i
\(543\) 1.18755 + 9.78039i 0.0509628 + 0.419717i
\(544\) 12.1467 + 10.7610i 0.520784 + 0.461374i
\(545\) 30.6997 + 16.1124i 1.31503 + 0.690180i
\(546\) −12.9280 + 7.88490i −0.553268 + 0.337442i
\(547\) −15.8766 + 8.33267i −0.678833 + 0.356279i −0.768641 0.639680i \(-0.779067\pi\)
0.0898082 + 0.995959i \(0.471375\pi\)
\(548\) 37.7234 + 9.29799i 1.61147 + 0.397191i
\(549\) −0.164560 + 0.238406i −0.00702324 + 0.0101749i
\(550\) −40.2244 + 35.6357i −1.71517 + 1.51951i
\(551\) −1.63202 0.856552i −0.0695266 0.0364904i
\(552\) −4.16407 + 34.2942i −0.177235 + 1.45966i
\(553\) −18.4173 9.66615i −0.783184 0.411047i
\(554\) −16.2744 + 23.5775i −0.691431 + 1.00171i
\(555\) −12.4062 + 17.9734i −0.526613 + 0.762930i
\(556\) 80.8888 19.9373i 3.43045 0.845530i
\(557\) 7.09232 1.74810i 0.300511 0.0740694i −0.0861770 0.996280i \(-0.527465\pi\)
0.386688 + 0.922210i \(0.373619\pi\)
\(558\) −2.19421 + 18.0709i −0.0928882 + 0.765003i
\(559\) 44.1593 13.9515i 1.86774 0.590086i
\(560\) 4.61924 + 38.0428i 0.195198 + 1.60760i
\(561\) −4.12068 10.8653i −0.173975 0.458735i
\(562\) −22.2890 19.7464i −0.940206 0.832950i
\(563\) 28.2462 6.96206i 1.19044 0.293416i 0.406144 0.913809i \(-0.366873\pi\)
0.784291 + 0.620393i \(0.213027\pi\)
\(564\) −37.4682 9.23507i −1.57769 0.388867i
\(565\) 1.39796 + 2.02529i 0.0588125 + 0.0852046i
\(566\) 14.8689 + 39.2061i 0.624987 + 1.64796i
\(567\) −1.23050 + 1.09013i −0.0516763 + 0.0457812i
\(568\) −5.81754 + 47.9117i −0.244098 + 2.01033i
\(569\) −13.4822 35.5497i −0.565205 1.49032i −0.847394 0.530964i \(-0.821830\pi\)
0.282189 0.959359i \(-0.408939\pi\)
\(570\) −2.92581 + 7.71473i −0.122549 + 0.323135i
\(571\) 36.9893 9.11704i 1.54795 0.381536i 0.629479 0.777017i \(-0.283268\pi\)
0.918474 + 0.395481i \(0.129422\pi\)
\(572\) 44.1346 + 55.8793i 1.84536 + 2.33643i
\(573\) −5.83248 1.43758i −0.243656 0.0600557i
\(574\) 18.6941 27.0830i 0.780275 1.13042i
\(575\) 19.3135 17.1102i 0.805427 0.713546i
\(576\) −0.668032 0.164655i −0.0278347 0.00686063i
\(577\) −4.92242 −0.204923 −0.102462 0.994737i \(-0.532672\pi\)
−0.102462 + 0.994737i \(0.532672\pi\)
\(578\) −24.5702 6.05602i −1.02199 0.251897i
\(579\) −2.28478 + 6.02446i −0.0949521 + 0.250368i
\(580\) −22.4671 + 11.7916i −0.932894 + 0.489620i
\(581\) 1.01379 + 2.67316i 0.0420593 + 0.110901i
\(582\) −10.1614 + 5.33311i −0.421204 + 0.221065i
\(583\) −6.75855 9.79145i −0.279911 0.405520i
\(584\) −57.8253 83.7745i −2.39283 3.46661i
\(585\) −5.80758 + 9.69288i −0.240114 + 0.400751i
\(586\) 14.6663 21.2478i 0.605860 0.877739i
\(587\) 8.64516 0.356824 0.178412 0.983956i \(-0.442904\pi\)
0.178412 + 0.983956i \(0.442904\pi\)
\(588\) 11.0510 + 16.0102i 0.455737 + 0.660249i
\(589\) −5.49627 4.86927i −0.226470 0.200635i
\(590\) −46.1616 + 11.3778i −1.90044 + 0.468417i
\(591\) −4.12189 + 2.16333i −0.169552 + 0.0889876i
\(592\) 45.8980 24.0891i 1.88640 0.990057i
\(593\) 9.96406 2.45592i 0.409175 0.100853i −0.0293552 0.999569i \(-0.509345\pi\)
0.438530 + 0.898716i \(0.355499\pi\)
\(594\) 8.34266 + 7.39095i 0.342303 + 0.303254i
\(595\) 7.79544 + 11.2936i 0.319582 + 0.462994i
\(596\) 9.84196 0.403142
\(597\) 15.2408 22.0800i 0.623763 0.903676i
\(598\) −30.5534 38.6839i −1.24942 1.58190i
\(599\) −4.97527 7.20792i −0.203284 0.294508i 0.708061 0.706151i \(-0.249570\pi\)
−0.911345 + 0.411644i \(0.864955\pi\)
\(600\) 17.6809 + 25.6152i 0.721821 + 1.04574i
\(601\) −29.2659 + 15.3599i −1.19378 + 0.626545i −0.940152 0.340757i \(-0.889317\pi\)
−0.253630 + 0.967301i \(0.581624\pi\)
\(602\) 19.1289 + 50.4388i 0.779636 + 2.05573i
\(603\) −8.27605 + 4.34361i −0.337027 + 0.176885i
\(604\) −23.0110 + 60.6749i −0.936303 + 2.46883i
\(605\) −24.4440 6.02490i −0.993790 0.244947i
\(606\) −29.9250 −1.21562
\(607\) 33.9947 + 8.37895i 1.37980 + 0.340091i 0.858296 0.513155i \(-0.171523\pi\)
0.521508 + 0.853246i \(0.325370\pi\)
\(608\) 4.69949 4.16338i 0.190589 0.168848i
\(609\) 1.67025 2.41977i 0.0676818 0.0980540i
\(610\) −2.25195 0.555056i −0.0911789 0.0224736i
\(611\) 26.2406 16.0044i 1.06158 0.647467i
\(612\) −11.7072 + 2.88557i −0.473235 + 0.116642i
\(613\) −5.31568 + 14.0163i −0.214698 + 0.566113i −0.998491 0.0549091i \(-0.982513\pi\)
0.783793 + 0.621022i \(0.213282\pi\)
\(614\) 11.6563 + 30.7351i 0.470410 + 1.24037i
\(615\) 2.95992 24.3771i 0.119355 0.982980i
\(616\) −34.6546 + 30.7013i −1.39627 + 1.23699i
\(617\) 10.1121 + 26.6635i 0.407099 + 1.07343i 0.969181 + 0.246351i \(0.0792316\pi\)
−0.562081 + 0.827082i \(0.689999\pi\)
\(618\) 13.1204 + 19.0082i 0.527779 + 0.764620i
\(619\) −22.7922 5.61778i −0.916097 0.225798i −0.247037 0.969006i \(-0.579457\pi\)
−0.669060 + 0.743208i \(0.733303\pi\)
\(620\) −98.1483 + 24.1914i −3.94173 + 0.971549i
\(621\) −4.00567 3.54871i −0.160742 0.142405i
\(622\) −9.55554 25.1959i −0.383142 1.01026i
\(623\) −2.05073 16.8892i −0.0821606 0.676653i
\(624\) 22.8967 13.9649i 0.916602 0.559043i
\(625\) −3.11714 + 25.6719i −0.124685 + 1.02688i
\(626\) 86.2434 21.2571i 3.44698 0.849604i
\(627\) −4.36527 + 1.07594i −0.174332 + 0.0429690i
\(628\) 29.6737 42.9897i 1.18411 1.71548i
\(629\) 10.5443 15.2760i 0.420427 0.609094i
\(630\) −11.6545 6.11673i −0.464324 0.243696i
\(631\) 3.96028 32.6158i 0.157656 1.29842i −0.672171 0.740396i \(-0.734638\pi\)
0.829827 0.558020i \(-0.188439\pi\)
\(632\) 72.3208 + 37.9569i 2.87677 + 1.50984i
\(633\) 13.0276 11.5415i 0.517802 0.458733i
\(634\) −13.4728 + 19.5187i −0.535072 + 0.775185i
\(635\) −22.0680 5.43927i −0.875741 0.215851i
\(636\) −10.9310 + 5.73701i −0.433441 + 0.227487i
\(637\) −15.2518 2.73300i −0.604300 0.108285i
\(638\) −17.6511 9.26400i −0.698813 0.366765i
\(639\) −5.59624 4.95783i −0.221384 0.196129i
\(640\) 3.93889 + 32.4397i 0.155698 + 1.28229i
\(641\) −16.2675 + 8.53786i −0.642529 + 0.337225i −0.754320 0.656506i \(-0.772033\pi\)
0.111791 + 0.993732i \(0.464341\pi\)
\(642\) −16.1013 + 42.4558i −0.635470 + 1.67560i
\(643\) −47.5681 + 11.7245i −1.87590 + 0.462369i −0.999805 0.0197613i \(-0.993709\pi\)
−0.876100 + 0.482130i \(0.839863\pi\)
\(644\) 29.8093 26.4087i 1.17465 1.04065i
\(645\) 30.1299 + 26.6928i 1.18636 + 1.05103i
\(646\) 2.48671 6.55691i 0.0978382 0.257978i
\(647\) −2.83840 1.48971i −0.111589 0.0585665i 0.408005 0.912980i \(-0.366225\pi\)
−0.519594 + 0.854413i \(0.673917\pi\)
\(648\) 4.83192 4.28071i 0.189816 0.168162i
\(649\) −19.3911 17.1790i −0.761166 0.674335i
\(650\) −43.7164 7.83362i −1.71470 0.307260i
\(651\) 8.76781 7.76760i 0.343637 0.304436i
\(652\) 10.8664 89.4928i 0.425561 3.50481i
\(653\) 3.13581 0.122714 0.0613568 0.998116i \(-0.480457\pi\)
0.0613568 + 0.998116i \(0.480457\pi\)
\(654\) 28.2636 1.10519
\(655\) 3.09384 25.4801i 0.120886 0.995589i
\(656\) −33.1089 + 47.9665i −1.29269 + 1.87278i
\(657\) 15.7688 0.615199
\(658\) 20.3381 + 29.4648i 0.792862 + 1.14866i
\(659\) 3.78951 + 31.2094i 0.147618 + 1.21575i 0.858641 + 0.512578i \(0.171309\pi\)
−0.711022 + 0.703169i \(0.751768\pi\)
\(660\) −21.9474 + 57.8704i −0.854300 + 2.25260i
\(661\) −1.68403 13.8692i −0.0655010 0.539449i −0.988114 0.153722i \(-0.950874\pi\)
0.922613 0.385727i \(-0.126049\pi\)
\(662\) −6.58175 + 17.3546i −0.255807 + 0.674507i
\(663\) 4.93599 8.23818i 0.191698 0.319944i
\(664\) −3.98095 10.4969i −0.154491 0.407359i
\(665\) 4.70114 2.46735i 0.182302 0.0956797i
\(666\) −2.14595 + 17.6735i −0.0831539 + 0.684834i
\(667\) 8.47504 + 4.44805i 0.328155 + 0.172229i
\(668\) −2.34074 19.2778i −0.0905661 0.745879i
\(669\) 2.51302 + 20.6966i 0.0971589 + 0.800176i
\(670\) −56.0137 49.6238i −2.16400 1.91714i
\(671\) −0.448154 1.18168i −0.0173008 0.0456184i
\(672\) 5.68949 + 8.24265i 0.219477 + 0.317967i
\(673\) 20.1597 + 4.96891i 0.777098 + 0.191538i 0.607867 0.794039i \(-0.292025\pi\)
0.169231 + 0.985576i \(0.445872\pi\)
\(674\) 69.0990 + 36.2659i 2.66159 + 1.39691i
\(675\) −4.82153 −0.185581
\(676\) −13.6332 + 57.2475i −0.524352 + 2.20183i
\(677\) 31.5689 1.21329 0.606645 0.794973i \(-0.292515\pi\)
0.606645 + 0.794973i \(0.292515\pi\)
\(678\) 1.77633 + 0.932290i 0.0682195 + 0.0358044i
\(679\) 7.16992 + 1.76723i 0.275156 + 0.0678199i
\(680\) −30.6110 44.3477i −1.17388 1.70066i
\(681\) −4.00496 10.5602i −0.153470 0.404668i
\(682\) −59.4446 52.6633i −2.27625 2.01658i
\(683\) −3.11721 25.6725i −0.119277 0.982332i −0.922324 0.386417i \(-0.873713\pi\)
0.803048 0.595915i \(-0.203210\pi\)
\(684\) 0.562306 + 4.63101i 0.0215003 + 0.177071i
\(685\) −23.8168 12.5000i −0.909993 0.477601i
\(686\) 5.71921 47.1019i 0.218360 1.79836i
\(687\) 8.24551 4.32758i 0.314586 0.165107i
\(688\) −33.8791 89.3317i −1.29163 3.40574i
\(689\) 2.88828 9.39889i 0.110035 0.358069i
\(690\) 15.1936 40.0623i 0.578412 1.52515i
\(691\) 0.105516 + 0.869006i 0.00401404 + 0.0330586i 0.994578 0.103991i \(-0.0331612\pi\)
−0.990564 + 0.137049i \(0.956238\pi\)
\(692\) 10.0973 26.6244i 0.383842 1.01211i
\(693\) −0.864490 7.11972i −0.0328393 0.270456i
\(694\) −13.2409 19.1827i −0.502616 0.728165i
\(695\) −57.6757 −2.18776
\(696\) −6.55870 + 9.50191i −0.248607 + 0.360169i
\(697\) −2.51569 + 20.7186i −0.0952887 + 0.784773i
\(698\) 20.8923 0.790784
\(699\) 26.1721 0.989920
\(700\) 4.32495 35.6192i 0.163468 1.34628i
\(701\) −23.6742 + 20.9735i −0.894163 + 0.792159i −0.978920 0.204242i \(-0.934527\pi\)
0.0847573 + 0.996402i \(0.472989\pi\)
\(702\) −0.519974 + 9.19663i −0.0196251 + 0.347105i
\(703\) −5.37539 4.76218i −0.202737 0.179609i
\(704\) 2.24677 1.99046i 0.0846782 0.0750184i
\(705\) 23.6556 + 12.4154i 0.890922 + 0.467592i
\(706\) 9.64002 25.4186i 0.362807 0.956643i
\(707\) 14.4134 + 12.7692i 0.542073 + 0.480234i
\(708\) −20.1204 + 17.8252i −0.756173 + 0.669910i
\(709\) 26.9231 6.63596i 1.01112 0.249219i 0.301245 0.953547i \(-0.402598\pi\)
0.709875 + 0.704328i \(0.248752\pi\)
\(710\) 21.2267 55.9702i 0.796624 2.10053i
\(711\) −11.2032 + 5.87988i −0.420152 + 0.220513i
\(712\) 8.05276 + 66.3204i 0.301790 + 2.48546i
\(713\) 28.5419 + 25.2859i 1.06890 + 0.946966i
\(714\) 9.90536 + 5.19873i 0.370699 + 0.194558i
\(715\) −20.4087 44.8736i −0.763244 1.67818i
\(716\) 4.34957 2.28283i 0.162551 0.0853133i
\(717\) 24.6231 + 6.06905i 0.919566 + 0.226653i
\(718\) 6.03829 8.74797i 0.225347 0.326472i
\(719\) −4.23512 + 3.75199i −0.157943 + 0.139926i −0.738393 0.674370i \(-0.764415\pi\)
0.580450 + 0.814296i \(0.302877\pi\)
\(720\) 20.6411 + 10.8333i 0.769249 + 0.403733i
\(721\) 1.79144 14.7538i 0.0667168 0.549462i
\(722\) 40.5781 + 21.2970i 1.51016 + 0.792593i
\(723\) −5.04753 + 7.31261i −0.187720 + 0.271959i
\(724\) −25.3352 + 36.7043i −0.941574 + 1.36410i
\(725\) 8.37291 2.06374i 0.310962 0.0766453i
\(726\) −19.9266 + 4.91146i −0.739545 + 0.182281i
\(727\) 1.14056 9.39338i 0.0423011 0.348381i −0.956156 0.292857i \(-0.905394\pi\)
0.998457 0.0555240i \(-0.0176829\pi\)
\(728\) −37.6630 6.74891i −1.39589 0.250131i
\(729\) 0.120537 + 0.992709i 0.00446432 + 0.0367670i
\(730\) 44.7696 + 118.048i 1.65700 + 4.36914i
\(731\) −25.6080 22.6868i −0.947148 0.839100i
\(732\) −1.27324 + 0.313826i −0.0470604 + 0.0115993i
\(733\) 25.0071 + 6.16370i 0.923658 + 0.227661i 0.672339 0.740243i \(-0.265290\pi\)
0.251319 + 0.967904i \(0.419136\pi\)
\(734\) 34.9440 + 50.6251i 1.28981 + 1.86861i
\(735\) −4.77582 12.5928i −0.176159 0.464492i
\(736\) −24.4043 + 21.6203i −0.899554 + 0.796935i
\(737\) 4.91509 40.4794i 0.181050 1.49108i
\(738\) −7.09848 18.7172i −0.261299 0.688988i
\(739\) −8.94239 + 23.5792i −0.328951 + 0.867373i 0.663879 + 0.747840i \(0.268909\pi\)
−0.992830 + 0.119533i \(0.961860\pi\)
\(740\) −95.9898 + 23.6593i −3.52865 + 0.869735i
\(741\) −2.93388 2.27997i −0.107779 0.0837569i
\(742\) 11.1206 + 2.74098i 0.408250 + 0.100625i
\(743\) 3.15243 4.56709i 0.115652 0.167550i −0.760883 0.648889i \(-0.775234\pi\)
0.876535 + 0.481339i \(0.159849\pi\)
\(744\) −34.4293 + 30.5017i −1.26224 + 1.11825i
\(745\) −6.61566 1.63061i −0.242379 0.0597410i
\(746\) −2.26088 −0.0827768
\(747\) 1.68855 + 0.416190i 0.0617808 + 0.0152276i
\(748\) 18.6535 49.1853i 0.682040 1.79839i
\(749\) 25.8714 13.5783i 0.945319 0.496142i
\(750\) 0.506685 + 1.33602i 0.0185015 + 0.0487845i
\(751\) −16.1488 + 8.47556i −0.589279 + 0.309278i −0.732880 0.680358i \(-0.761824\pi\)
0.143601 + 0.989636i \(0.454132\pi\)
\(752\) −36.0207 52.1849i −1.31354 1.90299i
\(753\) 5.81278 + 8.42126i 0.211829 + 0.306888i
\(754\) −3.03342 16.1931i −0.110471 0.589719i
\(755\) 25.5203 36.9726i 0.928779 1.34557i
\(756\) −7.44178 −0.270655
\(757\) 4.42361 + 6.40871i 0.160779 + 0.232929i 0.895091 0.445884i \(-0.147110\pi\)
−0.734312 + 0.678812i \(0.762495\pi\)
\(758\) 64.6014 + 57.2318i 2.34643 + 2.07875i
\(759\) 22.6687 5.58733i 0.822821 0.202807i
\(760\) −18.4604 + 9.68874i −0.669628 + 0.351448i
\(761\) −15.0816 + 7.91542i −0.546707 + 0.286934i −0.715377 0.698739i \(-0.753745\pi\)
0.168670 + 0.985673i \(0.446053\pi\)
\(762\) −17.9897 + 4.43405i −0.651697 + 0.160629i
\(763\) −13.6132 12.0602i −0.492830 0.436610i
\(764\) −15.4472 22.3791i −0.558860 0.809649i
\(765\) 8.34753 0.301805
\(766\) −1.83539 + 2.65901i −0.0663152 + 0.0960741i
\(767\) 1.20859 21.3760i 0.0436396 0.771843i
\(768\) 15.9143 + 23.0558i 0.574257 + 0.831954i
\(769\) −24.2251 35.0961i −0.873578 1.26560i −0.962972 0.269600i \(-0.913108\pi\)
0.0893941 0.995996i \(-0.471507\pi\)
\(770\) 50.8450 26.6855i 1.83233 0.961678i
\(771\) −3.59699 9.48449i −0.129543 0.341576i
\(772\) −25.8260 + 13.5546i −0.929500 + 0.487839i
\(773\) −2.83621 + 7.47847i −0.102011 + 0.268982i −0.976299 0.216427i \(-0.930560\pi\)
0.874288 + 0.485408i \(0.161329\pi\)
\(774\) 31.8606 + 7.85293i 1.14521 + 0.282268i
\(775\) 34.3553 1.23408
\(776\) −28.1547 6.93952i −1.01070 0.249114i
\(777\) 8.57498 7.59677i 0.307626 0.272533i
\(778\) 20.9697 30.3799i 0.751800 1.08917i
\(779\) 7.84017 + 1.93243i 0.280903 + 0.0692364i
\(780\) −48.7745 + 15.4096i −1.74641 + 0.551753i
\(781\) 31.6699 7.80594i 1.13324 0.279319i
\(782\) −12.9134 + 34.0498i −0.461782 + 1.21762i
\(783\) −0.634224 1.67231i −0.0226653 0.0597635i
\(784\) −3.85309 + 31.7330i −0.137610 + 1.13332i
\(785\) −27.0688 + 23.9809i −0.966128 + 0.855914i
\(786\) −7.41966 19.5640i −0.264651 0.697826i
\(787\) 16.1698 + 23.4260i 0.576391 + 0.835047i 0.997404 0.0720081i \(-0.0229407\pi\)
−0.421013 + 0.907055i \(0.638325\pi\)
\(788\) −20.4604 5.04303i −0.728871 0.179651i
\(789\) −23.3837 + 5.76357i −0.832482 + 0.205188i
\(790\) −75.8250 67.1751i −2.69773 2.38998i
\(791\) −0.457758 1.20701i −0.0162760 0.0429163i
\(792\) 3.39467 + 27.9576i 0.120624 + 0.993430i
\(793\) 0.536824 0.895961i 0.0190632 0.0318165i
\(794\) 1.68008 13.8367i 0.0596237 0.491046i
\(795\) 8.29817 2.04532i 0.294306 0.0725399i
\(796\) 117.922 29.0651i 4.17962 1.03018i
\(797\) −22.1598 + 32.1040i −0.784940 + 1.13718i 0.202515 + 0.979279i \(0.435089\pi\)
−0.987455 + 0.157903i \(0.949527\pi\)
\(798\) 2.45864 3.56195i 0.0870349 0.126092i
\(799\) −20.1054 10.5521i −0.711278 0.373307i
\(800\) −3.54075 + 29.1607i −0.125184 + 1.03099i
\(801\) −9.16369 4.80948i −0.323783 0.169935i
\(802\) 30.6535 27.1566i 1.08241 0.958933i
\(803\) −39.0798 + 56.6169i −1.37910 + 1.99797i
\(804\) −41.0810 10.1256i −1.44882 0.357101i
\(805\) −24.4129 + 12.8129i −0.860440 + 0.451594i
\(806\) 3.70501 65.5295i 0.130503 2.30818i
\(807\) −25.4273 13.3453i −0.895082 0.469775i
\(808\) −56.5984 50.1418i −1.99112 1.76398i
\(809\) 5.96684 + 49.1414i 0.209783 + 1.72772i 0.593991 + 0.804472i \(0.297552\pi\)
−0.384208 + 0.923247i \(0.625525\pi\)
\(810\) −7.08936 + 3.72078i −0.249095 + 0.130735i
\(811\) −1.48653 + 3.91966i −0.0521991 + 0.137638i −0.958580 0.284824i \(-0.908065\pi\)
0.906381 + 0.422462i \(0.138834\pi\)
\(812\) 12.9231 3.18527i 0.453513 0.111781i
\(813\) −15.8579 + 14.0488i −0.556159 + 0.492714i
\(814\) −58.1373 51.5051i −2.03771 1.80525i
\(815\) −22.1314 + 58.3557i −0.775229 + 2.04411i
\(816\) −17.5433 9.20744i −0.614139 0.322325i
\(817\) −9.90764 + 8.77740i −0.346624 + 0.307082i
\(818\) −42.1017 37.2989i −1.47205 1.30412i
\(819\) 4.17470 4.20769i 0.145876 0.147029i
\(820\) 83.2051 73.7133i 2.90565 2.57418i
\(821\) 6.65713 54.8264i 0.232335 1.91345i −0.148680 0.988885i \(-0.547502\pi\)
0.381015 0.924569i \(-0.375575\pi\)
\(822\) −21.9269 −0.764788
\(823\) −15.0043 −0.523017 −0.261508 0.965201i \(-0.584220\pi\)
−0.261508 + 0.965201i \(0.584220\pi\)
\(824\) −7.03460 + 57.9352i −0.245062 + 2.01827i
\(825\) 11.9492 17.3114i 0.416018 0.602706i
\(826\) 24.9392 0.867747
\(827\) 15.8504 + 22.9633i 0.551173 + 0.798512i 0.995237 0.0974833i \(-0.0310793\pi\)
−0.444064 + 0.895995i \(0.646464\pi\)
\(828\) −2.92003 24.0486i −0.101478 0.835748i
\(829\) −0.239660 + 0.631932i −0.00832374 + 0.0219479i −0.939114 0.343607i \(-0.888351\pi\)
0.930790 + 0.365554i \(0.119121\pi\)
\(830\) 1.67834 + 13.8224i 0.0582560 + 0.479781i
\(831\) 3.97650 10.4852i 0.137943 0.363726i
\(832\) 2.44182 + 0.437553i 0.0846547 + 0.0151694i
\(833\) 4.05907 + 10.7029i 0.140638 + 0.370833i
\(834\) −41.6314 + 21.8498i −1.44158 + 0.756598i
\(835\) −1.62051 + 13.3461i −0.0560801 + 0.461861i
\(836\) −18.0209 9.45810i −0.623266 0.327115i
\(837\) −0.858870 7.07343i −0.0296869 0.244493i
\(838\) −9.53354 78.5157i −0.329331 2.71228i
\(839\) 0.572163 + 0.506892i 0.0197533 + 0.0174999i 0.672942 0.739696i \(-0.265031\pi\)
−0.653188 + 0.757196i \(0.726569\pi\)
\(840\) −11.7935 31.0968i −0.406913 1.07294i
\(841\) −14.6567 21.2339i −0.505404 0.732204i
\(842\) −23.0114 5.67180i −0.793026 0.195463i
\(843\) 10.3207 + 5.41673i 0.355464 + 0.186562i
\(844\) 78.7879 2.71199
\(845\) 18.6488 36.2224i 0.641538 1.24609i
\(846\) 21.7785 0.748760
\(847\) 11.6934 + 6.13717i 0.401790 + 0.210876i
\(848\) −19.6956 4.85453i −0.676350 0.166705i
\(849\) −9.32357 13.5075i −0.319984 0.463577i
\(850\) 11.6345 + 30.6777i 0.399061 + 1.05224i
\(851\) 27.9142 + 24.7298i 0.956887 + 0.847728i
\(852\) −4.07952 33.5979i −0.139762 1.15104i
\(853\) 4.85563 + 39.9897i 0.166253 + 1.36922i 0.802001 + 0.597323i \(0.203769\pi\)
−0.635747 + 0.771897i \(0.719308\pi\)
\(854\) 1.07728 + 0.565400i 0.0368637 + 0.0193476i
\(855\) 0.389288 3.20607i 0.0133134 0.109645i
\(856\) −101.591 + 53.3192i −3.47232 + 1.82241i
\(857\) 11.9695 + 31.5610i 0.408870 + 1.07810i 0.968424 + 0.249308i \(0.0802031\pi\)
−0.559554 + 0.828794i \(0.689028\pi\)
\(858\) −31.7313 24.6590i −1.08329 0.841843i
\(859\) 4.38775 11.5695i 0.149708 0.394748i −0.839093 0.543988i \(-0.816914\pi\)
0.988801 + 0.149240i \(0.0476828\pi\)
\(860\) 21.9640 + 180.890i 0.748965 + 6.16828i
\(861\) −4.56773 + 12.0441i −0.155668 + 0.410462i
\(862\) 1.18802 + 9.78425i 0.0404642 + 0.333253i
\(863\) −0.874505 1.26694i −0.0297685 0.0431271i 0.807817 0.589433i \(-0.200649\pi\)
−0.837586 + 0.546306i \(0.816034\pi\)
\(864\) 6.09244 0.207269
\(865\) −11.1984 + 16.2237i −0.380758 + 0.551623i
\(866\) 10.7091 88.1977i 0.363911 2.99708i
\(867\) 9.90526 0.336400
\(868\) 53.0255 1.79980
\(869\) 6.65349 54.7964i 0.225704 1.85884i
\(870\) 10.7185 9.49580i 0.363393 0.321938i
\(871\) 28.7709 17.5476i 0.974863 0.594577i
\(872\) 53.4560 + 47.3579i 1.81025 + 1.60374i
\(873\) 3.36228 2.97872i 0.113796 0.100814i
\(874\) 12.4754 + 6.54762i 0.421988 + 0.221476i
\(875\) 0.326042 0.859701i 0.0110222 0.0290632i
\(876\) 53.4304 + 47.3352i 1.80524 + 1.59931i
\(877\) 33.8246 29.9660i 1.14218 1.01188i 0.142419 0.989806i \(-0.454512\pi\)
0.999756 0.0220728i \(-0.00702658\pi\)
\(878\) −79.5421 + 19.6054i −2.68442 + 0.661649i
\(879\) −3.58358 + 9.44913i −0.120871 + 0.318711i
\(880\) −90.0511 + 47.2625i −3.03562 + 1.59322i
\(881\) 2.05299 + 16.9079i 0.0691670 + 0.569641i 0.985556 + 0.169352i \(0.0541674\pi\)
−0.916389 + 0.400290i \(0.868910\pi\)
\(882\) −8.21791 7.28044i −0.276712 0.245145i
\(883\) −21.7519 11.4163i −0.732010 0.384188i 0.0571587 0.998365i \(-0.481796\pi\)
−0.789169 + 0.614177i \(0.789488\pi\)
\(884\) 41.4545 13.0970i 1.39427 0.440499i
\(885\) 16.4780 8.64832i 0.553902 0.290710i
\(886\) 36.1126 + 8.90096i 1.21323 + 0.299034i
\(887\) −14.2527 + 20.6487i −0.478560 + 0.693314i −0.985692 0.168554i \(-0.946090\pi\)
0.507132 + 0.861868i \(0.330706\pi\)
\(888\) −33.6721 + 29.8309i −1.12996 + 1.00106i
\(889\) 10.5568 + 5.54062i 0.354063 + 0.185827i
\(890\) 9.98764 82.2556i 0.334786 2.75721i
\(891\) −3.86299 2.02745i −0.129415 0.0679222i
\(892\) −53.6125 + 77.6711i −1.79508 + 2.60062i
\(893\) −4.99042 + 7.22987i −0.166998 + 0.241938i
\(894\) −5.39304 + 1.32926i −0.180370 + 0.0444573i
\(895\) −3.30195 + 0.813857i −0.110372 + 0.0272042i
\(896\) 2.06618 17.0166i 0.0690264 0.568483i
\(897\) 15.2356 + 11.8398i 0.508701 + 0.395320i
\(898\) 5.77428 + 47.5555i 0.192690 + 1.58695i
\(899\) 4.51909 + 11.9159i 0.150720 + 0.397416i
\(900\) −16.3371 14.4734i −0.544570 0.482447i
\(901\) −7.05279 + 1.73836i −0.234963 + 0.0579131i
\(902\) 84.7950 + 20.9001i 2.82336 + 0.695897i
\(903\) −11.9948 17.3775i −0.399162 0.578286i
\(904\) 1.79752 + 4.73966i 0.0597845 + 0.157639i
\(905\) 23.1112 20.4747i 0.768241 0.680602i
\(906\) 4.41436 36.3555i 0.146657 1.20783i
\(907\) −13.3822 35.2859i −0.444348 1.17165i −0.950916 0.309449i \(-0.899855\pi\)
0.506568 0.862200i \(-0.330914\pi\)
\(908\) 18.1297 47.8040i 0.601654 1.58643i
\(909\) 11.3731 2.80321i 0.377221 0.0929766i
\(910\) 43.3520 + 19.3063i 1.43710 + 0.639998i
\(911\) −4.47485 1.10295i −0.148258 0.0365424i 0.164488 0.986379i \(-0.447403\pi\)
−0.312746 + 0.949837i \(0.601249\pi\)
\(912\) −4.35448 + 6.30855i −0.144191 + 0.208897i
\(913\) −5.67903 + 5.03119i −0.187949 + 0.166508i
\(914\) −11.8765 2.92729i −0.392839 0.0968262i
\(915\) 0.907853 0.0300127
\(916\) 40.9294 + 10.0882i 1.35235 + 0.333323i
\(917\) −4.77440 + 12.5891i −0.157665 + 0.415727i
\(918\) 6.02539 3.16237i 0.198868 0.104374i
\(919\) 12.6432 + 33.3374i 0.417061 + 1.09970i 0.964785 + 0.263041i \(0.0847254\pi\)
−0.547723 + 0.836659i \(0.684505\pi\)
\(920\) 95.8640 50.3133i 3.16054 1.65878i
\(921\) −7.30909 10.5890i −0.240843 0.348921i
\(922\) 52.8598 + 76.5807i 1.74085 + 2.52205i
\(923\) 21.2853 + 16.5412i 0.700614 + 0.544459i
\(924\) 18.4430 26.7192i 0.606729 0.878998i
\(925\) 33.5997 1.10475
\(926\) −25.0009 36.2200i −0.821579 1.19026i
\(927\) −6.76700 5.99504i −0.222258 0.196903i
\(928\) −10.5799 + 2.60771i −0.347303 + 0.0856024i
\(929\) −2.95876 + 1.55288i −0.0970739 + 0.0509483i −0.512561 0.858651i \(-0.671303\pi\)
0.415487 + 0.909599i \(0.363611\pi\)
\(930\) 50.5144 26.5120i 1.65643 0.869363i
\(931\) 4.30000 1.05985i 0.140927 0.0347353i
\(932\) 88.6806 + 78.5641i 2.90483 + 2.57345i
\(933\) 5.99181 + 8.68063i 0.196163 + 0.284191i
\(934\) −94.2245 −3.08312
\(935\) −20.6877 + 29.9713i −0.676559 + 0.980165i
\(936\) −16.3932 + 16.5227i −0.535827 + 0.540061i
\(937\) −26.2192 37.9851i −0.856545 1.24092i −0.968950 0.247257i \(-0.920471\pi\)
0.112405 0.993663i \(-0.464145\pi\)
\(938\) 22.2992 + 32.3060i 0.728095 + 1.05483i
\(939\) −30.7857 + 16.1576i −1.00465 + 0.527283i
\(940\) 42.8848 + 113.078i 1.39875 + 3.68820i
\(941\) −21.1945 + 11.1237i −0.690921 + 0.362623i −0.773355 0.633973i \(-0.781423\pi\)
0.0824342 + 0.996597i \(0.473731\pi\)
\(942\) −10.4539 + 27.5646i −0.340605 + 0.898102i
\(943\) −40.7137 10.0350i −1.32582 0.326786i
\(944\) −44.1697 −1.43760
\(945\) 5.00228 + 1.23295i 0.162724 + 0.0401079i
\(946\) −107.156 + 94.9315i −3.48393 + 3.08649i
\(947\) −11.2376 + 16.2805i −0.365173 + 0.529044i −0.961900 0.273400i \(-0.911852\pi\)
0.596728 + 0.802444i \(0.296467\pi\)
\(948\) −55.6108 13.7068i −1.80616 0.445177i
\(949\) −56.7375 + 3.65617i −1.84178 + 0.118684i
\(950\) 12.3251 3.03786i 0.399879 0.0985613i
\(951\) 3.29195 8.68016i 0.106749 0.281474i
\(952\) 10.0235 + 26.4298i 0.324864 + 0.856595i
\(953\) −0.805672 + 6.63531i −0.0260983 + 0.214939i −0.999924 0.0123589i \(-0.996066\pi\)
0.973825 + 0.227298i \(0.0729890\pi\)
\(954\) 5.21492 4.62002i 0.168839 0.149579i
\(955\) 6.67567 + 17.6023i 0.216020 + 0.569597i
\(956\) 65.2137 + 94.4784i 2.10916 + 3.05565i
\(957\) 7.57613 + 1.86735i 0.244901 + 0.0603628i
\(958\) 6.40918 1.57972i 0.207071 0.0510384i
\(959\) 10.5611 + 9.35632i 0.341036 + 0.302131i
\(960\) 0.764607 + 2.01610i 0.0246776 + 0.0650695i
\(961\) 2.38314 + 19.6269i 0.0768754 + 0.633126i
\(962\) 3.62353 64.0884i 0.116827 2.06629i
\(963\) 2.14233 17.6437i 0.0690356 0.568560i
\(964\) −39.0540 + 9.62596i −1.25785 + 0.310031i
\(965\) 19.6057 4.83237i 0.631129 0.155559i
\(966\) −12.7676 + 18.4971i −0.410792 + 0.595134i
\(967\) 4.63267 6.71158i 0.148977 0.215830i −0.741390 0.671075i \(-0.765833\pi\)
0.890366 + 0.455245i \(0.150448\pi\)
\(968\) −45.9175 24.0994i −1.47584 0.774583i
\(969\) −0.330864 + 2.72491i −0.0106289 + 0.0875366i
\(970\) 31.8451 + 16.7136i 1.02249 + 0.536642i
\(971\) 13.7567 12.1874i 0.441473 0.391111i −0.412896 0.910778i \(-0.635483\pi\)
0.854369 + 0.519667i \(0.173944\pi\)
\(972\) −2.57152 + 3.72549i −0.0824815 + 0.119495i
\(973\) 29.3752 + 7.24035i 0.941727 + 0.232115i
\(974\) 5.12284 2.68868i 0.164146 0.0861507i
\(975\) 17.3483 1.11793i 0.555591 0.0358023i
\(976\) −1.90796 1.00138i −0.0610723 0.0320532i
\(977\) −31.7492 28.1273i −1.01575 0.899872i −0.0207492 0.999785i \(-0.506605\pi\)
−0.994996 + 0.0999128i \(0.968144\pi\)
\(978\) 6.13259 + 50.5064i 0.196099 + 1.61502i
\(979\) 39.9785 20.9823i 1.27772 0.670599i
\(980\) 21.6192 57.0051i 0.690600 1.82096i
\(981\) −10.7416 + 2.64757i −0.342954 + 0.0845305i
\(982\) 53.6489 47.5288i 1.71201 1.51670i
\(983\) 22.2896 + 19.7469i 0.710929 + 0.629828i 0.939040 0.343807i \(-0.111717\pi\)
−0.228112 + 0.973635i \(0.573255\pi\)
\(984\) 17.9365 47.2946i 0.571794 1.50770i
\(985\) 12.9177 + 6.77974i 0.411593 + 0.216020i
\(986\) −9.10992 + 8.07068i −0.290119 + 0.257023i
\(987\) −10.4896 9.29301i −0.333889 0.295800i
\(988\) −3.09698 16.5324i −0.0985279 0.525965i
\(989\) 51.4500 45.5807i 1.63601 1.44938i
\(990\) 4.21032 34.6751i 0.133813 1.10205i
\(991\) −7.87832 −0.250263 −0.125132 0.992140i \(-0.539935\pi\)
−0.125132 + 0.992140i \(0.539935\pi\)
\(992\) −43.4109 −1.37830
\(993\) 0.875720 7.21220i 0.0277901 0.228872i
\(994\) −17.8374 + 25.8419i −0.565767 + 0.819656i
\(995\) −84.0811 −2.66555
\(996\) 4.47208 + 6.47893i 0.141703 + 0.205293i
\(997\) 2.05387 + 16.9152i 0.0650468 + 0.535708i 0.988413 + 0.151788i \(0.0485032\pi\)
−0.923366 + 0.383920i \(0.874574\pi\)
\(998\) 12.0140 31.6784i 0.380297 1.00276i
\(999\) −0.839981 6.91787i −0.0265758 0.218872i
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 507.2.m.a.79.1 180
169.92 even 13 inner 507.2.m.a.430.1 yes 180
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
507.2.m.a.79.1 180 1.1 even 1 trivial
507.2.m.a.430.1 yes 180 169.92 even 13 inner