Properties

Label 370.2.o.b.201.2
Level $370$
Weight $2$
Character 370.201
Analytic conductor $2.954$
Analytic rank $0$
Dimension $18$
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] = [370,2,Mod(71,370)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(370, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([0, 4]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("370.71");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 370 = 2 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 370.o (of order \(9\), degree \(6\), 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: \(2.95446487479\)
Analytic rank: \(0\)
Dimension: \(18\)
Relative dimension: \(3\) over \(\Q(\zeta_{9})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{18} - \cdots)\)
comment: defining polynomial
 
gp: f.mod \\ as an extension of the character field
 
Defining polynomial: \( x^{18} - 3 x^{17} + 18 x^{16} - 25 x^{15} + 132 x^{14} - 135 x^{13} + 666 x^{12} - 297 x^{11} + 1845 x^{10} - 382 x^{9} + 3810 x^{8} - 63 x^{7} + 3325 x^{6} - 1329 x^{5} + 1332 x^{4} + \cdots + 9 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 3^{2} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 201.2
Root \(0.247857 + 0.429301i\) of defining polynomial
Character \(\chi\) \(=\) 370.201
Dual form 370.2.o.b.81.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.939693 + 0.342020i) q^{2} +(0.465818 - 0.169544i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-0.173648 + 0.984808i) q^{5} +0.495714 q^{6} +(-0.827523 + 4.69312i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-2.10989 + 1.77041i) q^{9} +O(q^{10})\) \(q+(0.939693 + 0.342020i) q^{2} +(0.465818 - 0.169544i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-0.173648 + 0.984808i) q^{5} +0.495714 q^{6} +(-0.827523 + 4.69312i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-2.10989 + 1.77041i) q^{9} +(-0.500000 + 0.866025i) q^{10} +(0.0178576 + 0.0309303i) q^{11} +(0.465818 + 0.169544i) q^{12} +(-2.22538 - 1.86732i) q^{13} +(-2.38276 + 4.12706i) q^{14} +(0.0860798 + 0.488183i) q^{15} +(0.173648 + 0.984808i) q^{16} +(4.81190 - 4.03767i) q^{17} +(-2.58817 + 0.942015i) q^{18} +(3.55030 - 1.29220i) q^{19} +(-0.766044 + 0.642788i) q^{20} +(0.410215 + 2.32644i) q^{21} +(0.00620188 + 0.0351726i) q^{22} +(3.32020 - 5.75075i) q^{23} +(0.379739 + 0.318639i) q^{24} +(-0.939693 - 0.342020i) q^{25} +(-1.45251 - 2.51583i) q^{26} +(-1.42623 + 2.47031i) q^{27} +(-3.65060 + 3.06322i) q^{28} +(2.13214 + 3.69298i) q^{29} +(-0.0860798 + 0.488183i) q^{30} +7.81339 q^{31} +(-0.173648 + 0.984808i) q^{32} +(0.0135624 + 0.0113802i) q^{33} +(5.90267 - 2.14840i) q^{34} +(-4.47812 - 1.62990i) q^{35} -2.75427 q^{36} +(-2.58015 - 5.50843i) q^{37} +3.77815 q^{38} +(-1.35322 - 0.492530i) q^{39} +(-0.939693 + 0.342020i) q^{40} +(0.219681 + 0.184334i) q^{41} +(-0.410215 + 2.32644i) q^{42} -4.96135 q^{43} +(-0.00620188 + 0.0351726i) q^{44} +(-1.37713 - 2.38527i) q^{45} +(5.08684 - 4.26837i) q^{46} +(-0.0422679 + 0.0732102i) q^{47} +(0.247857 + 0.429301i) q^{48} +(-14.7627 - 5.37319i) q^{49} +(-0.766044 - 0.642788i) q^{50} +(1.55691 - 2.69665i) q^{51} +(-0.504453 - 2.86089i) q^{52} +(2.17004 + 12.3069i) q^{53} +(-2.18512 + 1.83353i) q^{54} +(-0.0335613 + 0.0122153i) q^{55} +(-4.47812 + 1.62990i) q^{56} +(1.43471 - 1.20386i) q^{57} +(0.740486 + 4.19950i) q^{58} +(-1.71578 - 9.73067i) q^{59} +(-0.247857 + 0.429301i) q^{60} +(7.41852 + 6.22488i) q^{61} +(7.34219 + 2.67234i) q^{62} +(-6.56276 - 11.3670i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(2.22538 - 1.86732i) q^{65} +(0.00885226 + 0.0153326i) q^{66} +(-0.0868810 + 0.492727i) q^{67} +6.28149 q^{68} +(0.571604 - 3.24173i) q^{69} +(-3.65060 - 3.06322i) q^{70} +(8.73683 - 3.17995i) q^{71} +(-2.58817 - 0.942015i) q^{72} -8.43531 q^{73} +(-0.540554 - 6.05870i) q^{74} -0.495714 q^{75} +(3.55030 + 1.29220i) q^{76} +(-0.159937 + 0.0582123i) q^{77} +(-1.10315 - 0.925654i) q^{78} +(0.728448 - 4.13123i) q^{79} -1.00000 q^{80} +(1.18928 - 6.74475i) q^{81} +(0.143387 + 0.248353i) q^{82} +(-5.25852 + 4.41243i) q^{83} +(-1.18117 + 2.04584i) q^{84} +(3.14075 + 5.43993i) q^{85} +(-4.66214 - 1.69688i) q^{86} +(1.61931 + 1.35877i) q^{87} +(-0.0178576 + 0.0309303i) q^{88} +(1.99369 + 11.3068i) q^{89} +(-0.478274 - 2.71242i) q^{90} +(10.6051 - 8.89873i) q^{91} +(6.23993 - 2.27115i) q^{92} +(3.63962 - 1.32471i) q^{93} +(-0.0647582 + 0.0543386i) q^{94} +(0.656069 + 3.72075i) q^{95} +(0.0860798 + 0.488183i) q^{96} +(2.46953 - 4.27736i) q^{97} +(-12.0347 - 10.0983i) q^{98} +(-0.0924369 - 0.0336443i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 18 q + 6 q^{6} - 9 q^{7} + 9 q^{8} - 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 18 q + 6 q^{6} - 9 q^{7} + 9 q^{8} - 12 q^{9} - 9 q^{10} + 15 q^{11} + 3 q^{13} - 6 q^{14} + 6 q^{17} - 6 q^{18} - 3 q^{19} - 12 q^{21} - 12 q^{22} + 15 q^{23} + 6 q^{26} + 12 q^{27} + 9 q^{28} - 12 q^{29} + 54 q^{31} + 9 q^{33} + 3 q^{34} - 12 q^{37} - 24 q^{38} - 30 q^{39} + 15 q^{41} + 12 q^{42} - 60 q^{43} + 12 q^{44} - 6 q^{46} + 6 q^{47} + 3 q^{48} - 27 q^{49} - 6 q^{51} - 6 q^{52} + 12 q^{53} - 9 q^{54} + 6 q^{55} + 45 q^{57} + 3 q^{58} - 27 q^{59} - 3 q^{60} - 9 q^{62} + 18 q^{63} - 9 q^{64} - 3 q^{65} - 9 q^{66} - 54 q^{67} + 12 q^{68} - 6 q^{69} + 9 q^{70} + 36 q^{71} - 6 q^{72} - 6 q^{73} + 18 q^{74} - 6 q^{75} - 3 q^{76} - 24 q^{77} + 12 q^{78} + 12 q^{79} - 18 q^{80} - 6 q^{81} + 3 q^{82} - 15 q^{83} - 6 q^{84} + 6 q^{85} + 30 q^{87} - 15 q^{88} + 84 q^{89} + 6 q^{90} + 12 q^{91} - 12 q^{92} - 18 q^{93} + 36 q^{94} - 24 q^{95} - 9 q^{97} - 30 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).

\(n\) \(261\) \(297\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\) \(1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.939693 + 0.342020i 0.664463 + 0.241845i
\(3\) 0.465818 0.169544i 0.268940 0.0978863i −0.204030 0.978965i \(-0.565404\pi\)
0.472970 + 0.881078i \(0.343182\pi\)
\(4\) 0.766044 + 0.642788i 0.383022 + 0.321394i
\(5\) −0.173648 + 0.984808i −0.0776578 + 0.440419i
\(6\) 0.495714 0.202374
\(7\) −0.827523 + 4.69312i −0.312774 + 1.77383i 0.271662 + 0.962393i \(0.412427\pi\)
−0.584437 + 0.811439i \(0.698685\pi\)
\(8\) 0.500000 + 0.866025i 0.176777 + 0.306186i
\(9\) −2.10989 + 1.77041i −0.703297 + 0.590136i
\(10\) −0.500000 + 0.866025i −0.158114 + 0.273861i
\(11\) 0.0178576 + 0.0309303i 0.00538427 + 0.00932583i 0.868705 0.495330i \(-0.164953\pi\)
−0.863321 + 0.504656i \(0.831619\pi\)
\(12\) 0.465818 + 0.169544i 0.134470 + 0.0489431i
\(13\) −2.22538 1.86732i −0.617210 0.517900i 0.279715 0.960083i \(-0.409760\pi\)
−0.896925 + 0.442183i \(0.854204\pi\)
\(14\) −2.38276 + 4.12706i −0.636819 + 1.10300i
\(15\) 0.0860798 + 0.488183i 0.0222257 + 0.126048i
\(16\) 0.173648 + 0.984808i 0.0434120 + 0.246202i
\(17\) 4.81190 4.03767i 1.16706 0.979278i 0.167080 0.985943i \(-0.446566\pi\)
0.999978 + 0.00666534i \(0.00212166\pi\)
\(18\) −2.58817 + 0.942015i −0.610036 + 0.222035i
\(19\) 3.55030 1.29220i 0.814495 0.296452i 0.0990154 0.995086i \(-0.468431\pi\)
0.715479 + 0.698634i \(0.246208\pi\)
\(20\) −0.766044 + 0.642788i −0.171293 + 0.143732i
\(21\) 0.410215 + 2.32644i 0.0895162 + 0.507671i
\(22\) 0.00620188 + 0.0351726i 0.00132225 + 0.00749883i
\(23\) 3.32020 5.75075i 0.692310 1.19912i −0.278770 0.960358i \(-0.589927\pi\)
0.971079 0.238757i \(-0.0767400\pi\)
\(24\) 0.379739 + 0.318639i 0.0775138 + 0.0650418i
\(25\) −0.939693 0.342020i −0.187939 0.0684040i
\(26\) −1.45251 2.51583i −0.284861 0.493395i
\(27\) −1.42623 + 2.47031i −0.274479 + 0.475411i
\(28\) −3.65060 + 3.06322i −0.689898 + 0.578893i
\(29\) 2.13214 + 3.69298i 0.395929 + 0.685769i 0.993219 0.116256i \(-0.0370893\pi\)
−0.597290 + 0.802025i \(0.703756\pi\)
\(30\) −0.0860798 + 0.488183i −0.0157159 + 0.0891295i
\(31\) 7.81339 1.40333 0.701664 0.712508i \(-0.252441\pi\)
0.701664 + 0.712508i \(0.252441\pi\)
\(32\) −0.173648 + 0.984808i −0.0306970 + 0.174091i
\(33\) 0.0135624 + 0.0113802i 0.00236092 + 0.00198105i
\(34\) 5.90267 2.14840i 1.01230 0.368447i
\(35\) −4.47812 1.62990i −0.756941 0.275504i
\(36\) −2.75427 −0.459045
\(37\) −2.58015 5.50843i −0.424174 0.905581i
\(38\) 3.77815 0.612897
\(39\) −1.35322 0.492530i −0.216688 0.0788680i
\(40\) −0.939693 + 0.342020i −0.148578 + 0.0540781i
\(41\) 0.219681 + 0.184334i 0.0343084 + 0.0287882i 0.659781 0.751458i \(-0.270649\pi\)
−0.625472 + 0.780246i \(0.715094\pi\)
\(42\) −0.410215 + 2.32644i −0.0632975 + 0.358978i
\(43\) −4.96135 −0.756598 −0.378299 0.925683i \(-0.623491\pi\)
−0.378299 + 0.925683i \(0.623491\pi\)
\(44\) −0.00620188 + 0.0351726i −0.000934969 + 0.00530247i
\(45\) −1.37713 2.38527i −0.205291 0.355574i
\(46\) 5.08684 4.26837i 0.750014 0.629336i
\(47\) −0.0422679 + 0.0732102i −0.00616541 + 0.0106788i −0.869092 0.494651i \(-0.835296\pi\)
0.862926 + 0.505330i \(0.168629\pi\)
\(48\) 0.247857 + 0.429301i 0.0357750 + 0.0619642i
\(49\) −14.7627 5.37319i −2.10896 0.767598i
\(50\) −0.766044 0.642788i −0.108335 0.0909039i
\(51\) 1.55691 2.69665i 0.218011 0.377606i
\(52\) −0.504453 2.86089i −0.0699550 0.396735i
\(53\) 2.17004 + 12.3069i 0.298078 + 1.69048i 0.654422 + 0.756130i \(0.272912\pi\)
−0.356344 + 0.934355i \(0.615977\pi\)
\(54\) −2.18512 + 1.83353i −0.297357 + 0.249512i
\(55\) −0.0335613 + 0.0122153i −0.00452541 + 0.00164711i
\(56\) −4.47812 + 1.62990i −0.598414 + 0.217805i
\(57\) 1.43471 1.20386i 0.190032 0.159456i
\(58\) 0.740486 + 4.19950i 0.0972305 + 0.551422i
\(59\) −1.71578 9.73067i −0.223375 1.26682i −0.865767 0.500448i \(-0.833169\pi\)
0.642391 0.766377i \(-0.277942\pi\)
\(60\) −0.247857 + 0.429301i −0.0319982 + 0.0554225i
\(61\) 7.41852 + 6.22488i 0.949844 + 0.797014i 0.979271 0.202553i \(-0.0649238\pi\)
−0.0294269 + 0.999567i \(0.509368\pi\)
\(62\) 7.34219 + 2.67234i 0.932459 + 0.339387i
\(63\) −6.56276 11.3670i −0.826829 1.43211i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) 2.22538 1.86732i 0.276025 0.231612i
\(66\) 0.00885226 + 0.0153326i 0.00108964 + 0.00188731i
\(67\) −0.0868810 + 0.492727i −0.0106142 + 0.0601961i −0.989655 0.143469i \(-0.954174\pi\)
0.979041 + 0.203665i \(0.0652854\pi\)
\(68\) 6.28149 0.761743
\(69\) 0.571604 3.24173i 0.0688130 0.390258i
\(70\) −3.65060 3.06322i −0.436330 0.366124i
\(71\) 8.73683 3.17995i 1.03687 0.377390i 0.233178 0.972434i \(-0.425088\pi\)
0.803693 + 0.595044i \(0.202865\pi\)
\(72\) −2.58817 0.942015i −0.305018 0.111018i
\(73\) −8.43531 −0.987279 −0.493639 0.869667i \(-0.664334\pi\)
−0.493639 + 0.869667i \(0.664334\pi\)
\(74\) −0.540554 6.05870i −0.0628381 0.704309i
\(75\) −0.495714 −0.0572401
\(76\) 3.55030 + 1.29220i 0.407247 + 0.148226i
\(77\) −0.159937 + 0.0582123i −0.0182265 + 0.00663391i
\(78\) −1.10315 0.925654i −0.124907 0.104810i
\(79\) 0.728448 4.13123i 0.0819568 0.464800i −0.916015 0.401144i \(-0.868613\pi\)
0.997972 0.0636563i \(-0.0202761\pi\)
\(80\) −1.00000 −0.111803
\(81\) 1.18928 6.74475i 0.132142 0.749416i
\(82\) 0.143387 + 0.248353i 0.0158344 + 0.0274260i
\(83\) −5.25852 + 4.41243i −0.577198 + 0.484327i −0.884026 0.467438i \(-0.845177\pi\)
0.306828 + 0.951765i \(0.400732\pi\)
\(84\) −1.18117 + 2.04584i −0.128876 + 0.223219i
\(85\) 3.14075 + 5.43993i 0.340662 + 0.590044i
\(86\) −4.66214 1.69688i −0.502732 0.182979i
\(87\) 1.61931 + 1.35877i 0.173609 + 0.145675i
\(88\) −0.0178576 + 0.0309303i −0.00190363 + 0.00329718i
\(89\) 1.99369 + 11.3068i 0.211331 + 1.19852i 0.887161 + 0.461460i \(0.152674\pi\)
−0.675830 + 0.737057i \(0.736215\pi\)
\(90\) −0.478274 2.71242i −0.0504145 0.285915i
\(91\) 10.6051 8.89873i 1.11172 0.932840i
\(92\) 6.23993 2.27115i 0.650558 0.236784i
\(93\) 3.63962 1.32471i 0.377411 0.137366i
\(94\) −0.0647582 + 0.0543386i −0.00667930 + 0.00560460i
\(95\) 0.656069 + 3.72075i 0.0673112 + 0.381741i
\(96\) 0.0860798 + 0.488183i 0.00878548 + 0.0498249i
\(97\) 2.46953 4.27736i 0.250743 0.434300i −0.712987 0.701177i \(-0.752658\pi\)
0.963731 + 0.266877i \(0.0859917\pi\)
\(98\) −12.0347 10.0983i −1.21569 1.02008i
\(99\) −0.0924369 0.0336443i −0.00929025 0.00338138i
\(100\) −0.500000 0.866025i −0.0500000 0.0866025i
\(101\) −6.51178 + 11.2787i −0.647946 + 1.12228i 0.335666 + 0.941981i \(0.391039\pi\)
−0.983613 + 0.180295i \(0.942295\pi\)
\(102\) 2.38533 2.00153i 0.236182 0.198181i
\(103\) −2.61639 4.53172i −0.257800 0.446523i 0.707852 0.706361i \(-0.249664\pi\)
−0.965652 + 0.259838i \(0.916331\pi\)
\(104\) 0.504453 2.86089i 0.0494657 0.280534i
\(105\) −2.36233 −0.230540
\(106\) −2.17004 + 12.3069i −0.210773 + 1.19535i
\(107\) 3.48167 + 2.92147i 0.336586 + 0.282429i 0.795377 0.606115i \(-0.207273\pi\)
−0.458791 + 0.888544i \(0.651717\pi\)
\(108\) −2.68044 + 0.975602i −0.257926 + 0.0938773i
\(109\) −11.6125 4.22659i −1.11227 0.404834i −0.280446 0.959870i \(-0.590482\pi\)
−0.831827 + 0.555035i \(0.812705\pi\)
\(110\) −0.0357152 −0.00340531
\(111\) −2.13580 2.12848i −0.202721 0.202026i
\(112\) −4.76552 −0.450299
\(113\) −16.3378 5.94648i −1.53693 0.559397i −0.571625 0.820515i \(-0.693687\pi\)
−0.965307 + 0.261118i \(0.915909\pi\)
\(114\) 1.75993 0.640563i 0.164833 0.0599942i
\(115\) 5.08684 + 4.26837i 0.474350 + 0.398027i
\(116\) −0.740486 + 4.19950i −0.0687524 + 0.389914i
\(117\) 8.00123 0.739714
\(118\) 1.71578 9.73067i 0.157950 0.895781i
\(119\) 14.9673 + 25.9241i 1.37205 + 2.37646i
\(120\) −0.379739 + 0.318639i −0.0346652 + 0.0290876i
\(121\) 5.49936 9.52517i 0.499942 0.865925i
\(122\) 4.84210 + 8.38676i 0.438383 + 0.759301i
\(123\) 0.133584 + 0.0486207i 0.0120449 + 0.00438398i
\(124\) 5.98541 + 5.02235i 0.537505 + 0.451021i
\(125\) 0.500000 0.866025i 0.0447214 0.0774597i
\(126\) −2.27922 12.9261i −0.203049 1.15155i
\(127\) −3.39837 19.2731i −0.301556 1.71021i −0.639287 0.768968i \(-0.720770\pi\)
0.337731 0.941243i \(-0.390341\pi\)
\(128\) −0.766044 + 0.642788i −0.0677094 + 0.0568149i
\(129\) −2.31109 + 0.841167i −0.203480 + 0.0740606i
\(130\) 2.72983 0.993578i 0.239422 0.0871426i
\(131\) 4.09249 3.43401i 0.357562 0.300030i −0.446256 0.894905i \(-0.647243\pi\)
0.803818 + 0.594875i \(0.202798\pi\)
\(132\) 0.00307436 + 0.0174355i 0.000267588 + 0.00151757i
\(133\) 3.12651 + 17.7313i 0.271103 + 1.53750i
\(134\) −0.250164 + 0.433297i −0.0216109 + 0.0374311i
\(135\) −2.18512 1.83353i −0.188065 0.157805i
\(136\) 5.90267 + 2.14840i 0.506150 + 0.184224i
\(137\) −3.73919 6.47647i −0.319461 0.553322i 0.660915 0.750461i \(-0.270168\pi\)
−0.980376 + 0.197139i \(0.936835\pi\)
\(138\) 1.64587 2.85073i 0.140106 0.242670i
\(139\) 6.27727 5.26726i 0.532431 0.446763i −0.336509 0.941680i \(-0.609246\pi\)
0.868940 + 0.494917i \(0.164802\pi\)
\(140\) −2.38276 4.12706i −0.201380 0.348800i
\(141\) −0.00727683 + 0.0412689i −0.000612819 + 0.00347547i
\(142\) 9.29754 0.780232
\(143\) 0.0180166 0.102177i 0.00150663 0.00854451i
\(144\) −2.10989 1.77041i −0.175824 0.147534i
\(145\) −4.00712 + 1.45847i −0.332773 + 0.121119i
\(146\) −7.92660 2.88505i −0.656010 0.238768i
\(147\) −7.78773 −0.642322
\(148\) 1.56424 5.87819i 0.128580 0.483184i
\(149\) 7.89698 0.646946 0.323473 0.946237i \(-0.395150\pi\)
0.323473 + 0.946237i \(0.395150\pi\)
\(150\) −0.465818 0.169544i −0.0380339 0.0138432i
\(151\) −5.21434 + 1.89787i −0.424337 + 0.154446i −0.545357 0.838204i \(-0.683606\pi\)
0.121020 + 0.992650i \(0.461384\pi\)
\(152\) 2.89423 + 2.42855i 0.234753 + 0.196981i
\(153\) −3.00427 + 17.0381i −0.242881 + 1.37745i
\(154\) −0.170201 −0.0137152
\(155\) −1.35678 + 7.69469i −0.108979 + 0.618052i
\(156\) −0.720031 1.24713i −0.0576486 0.0998503i
\(157\) −17.0032 + 14.2674i −1.35701 + 1.13866i −0.380112 + 0.924941i \(0.624114\pi\)
−0.976894 + 0.213723i \(0.931441\pi\)
\(158\) 2.09748 3.63295i 0.166867 0.289022i
\(159\) 3.09741 + 5.36487i 0.245641 + 0.425462i
\(160\) −0.939693 0.342020i −0.0742892 0.0270391i
\(161\) 24.2414 + 20.3410i 1.91049 + 1.60309i
\(162\) 3.42440 5.93123i 0.269046 0.466002i
\(163\) 0.227268 + 1.28890i 0.0178010 + 0.100955i 0.992414 0.122943i \(-0.0392331\pi\)
−0.974613 + 0.223897i \(0.928122\pi\)
\(164\) 0.0497977 + 0.282417i 0.00388855 + 0.0220530i
\(165\) −0.0135624 + 0.0113802i −0.00105583 + 0.000885951i
\(166\) −6.45053 + 2.34780i −0.500659 + 0.182225i
\(167\) −5.74310 + 2.09032i −0.444415 + 0.161754i −0.554528 0.832165i \(-0.687101\pi\)
0.110113 + 0.993919i \(0.464879\pi\)
\(168\) −1.80965 + 1.51848i −0.139618 + 0.117153i
\(169\) −0.791977 4.49152i −0.0609213 0.345502i
\(170\) 1.09077 + 6.18606i 0.0836582 + 0.474449i
\(171\) −5.20302 + 9.01189i −0.397885 + 0.689157i
\(172\) −3.80061 3.18909i −0.289794 0.243166i
\(173\) −9.91493 3.60874i −0.753818 0.274367i −0.0636065 0.997975i \(-0.520260\pi\)
−0.690211 + 0.723608i \(0.742482\pi\)
\(174\) 1.05693 + 1.83066i 0.0801258 + 0.138782i
\(175\) 2.38276 4.12706i 0.180120 0.311976i
\(176\) −0.0273594 + 0.0229573i −0.00206230 + 0.00173047i
\(177\) −2.44902 4.24182i −0.184079 0.318835i
\(178\) −1.99369 + 11.3068i −0.149433 + 0.847479i
\(179\) −4.87224 −0.364168 −0.182084 0.983283i \(-0.558284\pi\)
−0.182084 + 0.983283i \(0.558284\pi\)
\(180\) 0.478274 2.71242i 0.0356484 0.202172i
\(181\) 5.39164 + 4.52413i 0.400758 + 0.336276i 0.820786 0.571235i \(-0.193536\pi\)
−0.420029 + 0.907511i \(0.637980\pi\)
\(182\) 13.0091 4.73491i 0.964296 0.350975i
\(183\) 4.51108 + 1.64190i 0.333468 + 0.121373i
\(184\) 6.64040 0.489537
\(185\) 5.87279 1.58442i 0.431776 0.116489i
\(186\) 3.87321 0.283997
\(187\) 0.210815 + 0.0767305i 0.0154163 + 0.00561109i
\(188\) −0.0794377 + 0.0289130i −0.00579359 + 0.00210869i
\(189\) −10.4132 8.73773i −0.757450 0.635576i
\(190\) −0.656069 + 3.72075i −0.0475962 + 0.269932i
\(191\) 12.0681 0.873221 0.436610 0.899651i \(-0.356179\pi\)
0.436610 + 0.899651i \(0.356179\pi\)
\(192\) −0.0860798 + 0.488183i −0.00621227 + 0.0352315i
\(193\) −9.20478 15.9431i −0.662574 1.14761i −0.979937 0.199308i \(-0.936130\pi\)
0.317362 0.948304i \(-0.397203\pi\)
\(194\) 3.78354 3.17477i 0.271643 0.227935i
\(195\) 0.720031 1.24713i 0.0515625 0.0893089i
\(196\) −7.85507 13.6054i −0.561077 0.971813i
\(197\) −1.68946 0.614913i −0.120369 0.0438107i 0.281133 0.959669i \(-0.409290\pi\)
−0.401502 + 0.915858i \(0.631512\pi\)
\(198\) −0.0753552 0.0632305i −0.00535526 0.00449360i
\(199\) 1.53649 2.66128i 0.108919 0.188653i −0.806414 0.591352i \(-0.798594\pi\)
0.915333 + 0.402699i \(0.131928\pi\)
\(200\) −0.173648 0.984808i −0.0122788 0.0696364i
\(201\) 0.0430681 + 0.244251i 0.00303779 + 0.0172282i
\(202\) −9.97663 + 8.37138i −0.701953 + 0.589009i
\(203\) −19.0960 + 6.95037i −1.34028 + 0.487820i
\(204\) 2.92604 1.06499i 0.204863 0.0745642i
\(205\) −0.219681 + 0.184334i −0.0153432 + 0.0128745i
\(206\) −0.908662 5.15328i −0.0633095 0.359046i
\(207\) 3.17593 + 18.0116i 0.220742 + 1.25189i
\(208\) 1.45251 2.51583i 0.100714 0.174441i
\(209\) 0.103368 + 0.0867361i 0.00715012 + 0.00599966i
\(210\) −2.21987 0.807965i −0.153185 0.0557549i
\(211\) 6.45980 + 11.1887i 0.444711 + 0.770261i 0.998032 0.0627064i \(-0.0199732\pi\)
−0.553321 + 0.832968i \(0.686640\pi\)
\(212\) −6.24838 + 10.8225i −0.429141 + 0.743294i
\(213\) 3.53063 2.96255i 0.241915 0.202991i
\(214\) 2.27250 + 3.93609i 0.155345 + 0.269065i
\(215\) 0.861529 4.88597i 0.0587558 0.333221i
\(216\) −2.85247 −0.194086
\(217\) −6.46577 + 36.6692i −0.438925 + 2.48927i
\(218\) −9.46657 7.94340i −0.641157 0.537995i
\(219\) −3.92932 + 1.43016i −0.265519 + 0.0966411i
\(220\) −0.0335613 0.0122153i −0.00226270 0.000823557i
\(221\) −18.2479 −1.22749
\(222\) −1.27902 2.73060i −0.0858419 0.183266i
\(223\) 23.4461 1.57007 0.785034 0.619453i \(-0.212645\pi\)
0.785034 + 0.619453i \(0.212645\pi\)
\(224\) −4.47812 1.62990i −0.299207 0.108902i
\(225\) 2.58817 0.942015i 0.172544 0.0628010i
\(226\) −13.3187 11.1757i −0.885947 0.743398i
\(227\) 2.64889 15.0226i 0.175813 0.997085i −0.761388 0.648296i \(-0.775482\pi\)
0.937201 0.348789i \(-0.113407\pi\)
\(228\) 1.87288 0.124035
\(229\) −0.885892 + 5.02414i −0.0585414 + 0.332005i −0.999987 0.00516105i \(-0.998357\pi\)
0.941445 + 0.337166i \(0.109468\pi\)
\(230\) 3.32020 + 5.75075i 0.218927 + 0.379194i
\(231\) −0.0646321 + 0.0542327i −0.00425248 + 0.00356825i
\(232\) −2.13214 + 3.69298i −0.139982 + 0.242456i
\(233\) 13.3930 + 23.1973i 0.877402 + 1.51971i 0.854182 + 0.519975i \(0.174059\pi\)
0.0232206 + 0.999730i \(0.492608\pi\)
\(234\) 7.51869 + 2.73658i 0.491512 + 0.178896i
\(235\) −0.0647582 0.0543386i −0.00422436 0.00354466i
\(236\) 4.94039 8.55701i 0.321592 0.557014i
\(237\) −0.361102 2.04791i −0.0234561 0.133026i
\(238\) 5.19808 + 29.4798i 0.336942 + 1.91089i
\(239\) 15.1202 12.6874i 0.978048 0.820679i −0.00574617 0.999983i \(-0.501829\pi\)
0.983794 + 0.179304i \(0.0573846\pi\)
\(240\) −0.465818 + 0.169544i −0.0300684 + 0.0109440i
\(241\) −17.5991 + 6.40554i −1.13366 + 0.412617i −0.839618 0.543177i \(-0.817221\pi\)
−0.294038 + 0.955794i \(0.594999\pi\)
\(242\) 8.42551 7.06984i 0.541612 0.454467i
\(243\) −2.07552 11.7709i −0.133145 0.755101i
\(244\) 1.68164 + 9.53707i 0.107656 + 0.610548i
\(245\) 7.85507 13.6054i 0.501842 0.869216i
\(246\) 0.108899 + 0.0913771i 0.00694314 + 0.00582599i
\(247\) −10.3137 3.75389i −0.656246 0.238854i
\(248\) 3.90670 + 6.76660i 0.248076 + 0.429679i
\(249\) −1.70142 + 2.94694i −0.107823 + 0.186755i
\(250\) 0.766044 0.642788i 0.0484489 0.0406535i
\(251\) 5.30044 + 9.18063i 0.334561 + 0.579476i 0.983400 0.181449i \(-0.0580787\pi\)
−0.648840 + 0.760925i \(0.724745\pi\)
\(252\) 2.27922 12.9261i 0.143577 0.814268i
\(253\) 0.237163 0.0149103
\(254\) 3.39837 19.2731i 0.213233 1.20930i
\(255\) 2.38533 + 2.00153i 0.149375 + 0.125340i
\(256\) −0.939693 + 0.342020i −0.0587308 + 0.0213763i
\(257\) 11.4314 + 4.16068i 0.713070 + 0.259536i 0.672981 0.739660i \(-0.265014\pi\)
0.0400890 + 0.999196i \(0.487236\pi\)
\(258\) −2.45941 −0.153116
\(259\) 27.9869 7.55059i 1.73902 0.469171i
\(260\) 2.90503 0.180162
\(261\) −11.0367 4.01702i −0.683153 0.248647i
\(262\) 5.02018 1.82720i 0.310148 0.112885i
\(263\) 24.1996 + 20.3059i 1.49221 + 1.25211i 0.891804 + 0.452421i \(0.149440\pi\)
0.600408 + 0.799694i \(0.295005\pi\)
\(264\) −0.00307436 + 0.0174355i −0.000189214 + 0.00107308i
\(265\) −12.4968 −0.767670
\(266\) −3.12651 + 17.7313i −0.191698 + 1.08718i
\(267\) 2.84570 + 4.92889i 0.174154 + 0.301643i
\(268\) −0.383273 + 0.321605i −0.0234121 + 0.0196451i
\(269\) 4.32236 7.48655i 0.263539 0.456463i −0.703641 0.710556i \(-0.748443\pi\)
0.967180 + 0.254093i \(0.0817768\pi\)
\(270\) −1.42623 2.47031i −0.0867979 0.150338i
\(271\) 2.12113 + 0.772027i 0.128849 + 0.0468973i 0.405640 0.914033i \(-0.367049\pi\)
−0.276791 + 0.960930i \(0.589271\pi\)
\(272\) 4.81190 + 4.03767i 0.291765 + 0.244819i
\(273\) 3.43132 5.94322i 0.207673 0.359700i
\(274\) −1.29861 7.36477i −0.0784518 0.444922i
\(275\) −0.00620188 0.0351726i −0.000373987 0.00212099i
\(276\) 2.52162 2.11589i 0.151783 0.127361i
\(277\) −8.82907 + 3.21352i −0.530487 + 0.193082i −0.593356 0.804940i \(-0.702197\pi\)
0.0628685 + 0.998022i \(0.479975\pi\)
\(278\) 7.70021 2.80265i 0.461828 0.168092i
\(279\) −16.4854 + 13.8329i −0.986956 + 0.828154i
\(280\) −0.827523 4.69312i −0.0494540 0.280467i
\(281\) −0.0250050 0.141810i −0.00149167 0.00845969i 0.984053 0.177876i \(-0.0569227\pi\)
−0.985545 + 0.169417i \(0.945812\pi\)
\(282\) −0.0209528 + 0.0362913i −0.00124772 + 0.00216111i
\(283\) −20.2500 16.9918i −1.20374 1.01006i −0.999515 0.0311341i \(-0.990088\pi\)
−0.204225 0.978924i \(-0.565467\pi\)
\(284\) 8.73683 + 3.17995i 0.518435 + 0.188695i
\(285\) 0.936440 + 1.62196i 0.0554699 + 0.0960767i
\(286\) 0.0518768 0.0898533i 0.00306754 0.00531314i
\(287\) −1.04689 + 0.878449i −0.0617962 + 0.0518532i
\(288\) −1.37713 2.38527i −0.0811484 0.140553i
\(289\) 3.89965 22.1160i 0.229391 1.30094i
\(290\) −4.26429 −0.250407
\(291\) 0.425154 2.41117i 0.0249230 0.141345i
\(292\) −6.46183 5.42212i −0.378150 0.317305i
\(293\) 12.2370 4.45390i 0.714893 0.260200i 0.0411366 0.999154i \(-0.486902\pi\)
0.673756 + 0.738954i \(0.264680\pi\)
\(294\) −7.31808 2.66356i −0.426799 0.155342i
\(295\) 9.88078 0.575281
\(296\) 3.48037 4.98869i 0.202292 0.289962i
\(297\) −0.101877 −0.00591147
\(298\) 7.42073 + 2.70093i 0.429871 + 0.156460i
\(299\) −18.1272 + 6.59776i −1.04832 + 0.381558i
\(300\) −0.379739 0.318639i −0.0219242 0.0183966i
\(301\) 4.10563 23.2842i 0.236645 1.34208i
\(302\) −5.54899 −0.319308
\(303\) −1.12107 + 6.35788i −0.0644035 + 0.365250i
\(304\) 1.88907 + 3.27197i 0.108346 + 0.187661i
\(305\) −7.41852 + 6.22488i −0.424783 + 0.356436i
\(306\) −8.65046 + 14.9830i −0.494514 + 0.856523i
\(307\) −11.3954 19.7374i −0.650369 1.12647i −0.983033 0.183427i \(-0.941281\pi\)
0.332664 0.943045i \(-0.392053\pi\)
\(308\) −0.159937 0.0582123i −0.00911326 0.00331695i
\(309\) −1.98709 1.66736i −0.113041 0.0948530i
\(310\) −3.90670 + 6.76660i −0.221885 + 0.384317i
\(311\) 4.63208 + 26.2698i 0.262661 + 1.48963i 0.775613 + 0.631209i \(0.217441\pi\)
−0.512952 + 0.858417i \(0.671448\pi\)
\(312\) −0.250064 1.41818i −0.0141571 0.0802889i
\(313\) −13.1588 + 11.0416i −0.743782 + 0.624107i −0.933850 0.357664i \(-0.883573\pi\)
0.190069 + 0.981771i \(0.439129\pi\)
\(314\) −20.8576 + 7.59153i −1.17706 + 0.428415i
\(315\) 12.3339 4.48919i 0.694939 0.252937i
\(316\) 3.21353 2.69647i 0.180775 0.151688i
\(317\) −3.63150 20.5952i −0.203965 1.15674i −0.899060 0.437825i \(-0.855749\pi\)
0.695095 0.718918i \(-0.255362\pi\)
\(318\) 1.07572 + 6.10070i 0.0603233 + 0.342111i
\(319\) −0.0761499 + 0.131896i −0.00426358 + 0.00738473i
\(320\) −0.766044 0.642788i −0.0428232 0.0359329i
\(321\) 2.11715 + 0.770578i 0.118168 + 0.0430095i
\(322\) 15.8225 + 27.4053i 0.881752 + 1.52724i
\(323\) 11.8662 20.5529i 0.660254 1.14359i
\(324\) 5.24648 4.40232i 0.291471 0.244573i
\(325\) 1.45251 + 2.51583i 0.0805710 + 0.139553i
\(326\) −0.227268 + 1.28890i −0.0125872 + 0.0713857i
\(327\) −6.12590 −0.338763
\(328\) −0.0497977 + 0.282417i −0.00274962 + 0.0155939i
\(329\) −0.308606 0.258951i −0.0170140 0.0142765i
\(330\) −0.0166368 + 0.00605530i −0.000915826 + 0.000333333i
\(331\) −32.8499 11.9564i −1.80559 0.657182i −0.997695 0.0678611i \(-0.978383\pi\)
−0.807899 0.589321i \(-0.799395\pi\)
\(332\) −6.86452 −0.376739
\(333\) 15.1960 + 7.05427i 0.832737 + 0.386572i
\(334\) −6.11168 −0.334416
\(335\) −0.470154 0.171122i −0.0256873 0.00934940i
\(336\) −2.21987 + 0.807965i −0.121104 + 0.0440781i
\(337\) −18.9211 15.8767i −1.03070 0.864856i −0.0397621 0.999209i \(-0.512660\pi\)
−0.990934 + 0.134353i \(0.957104\pi\)
\(338\) 0.791977 4.49152i 0.0430778 0.244307i
\(339\) −8.61864 −0.468100
\(340\) −1.09077 + 6.18606i −0.0591553 + 0.335486i
\(341\) 0.139528 + 0.241670i 0.00755589 + 0.0130872i
\(342\) −7.97149 + 6.68887i −0.431049 + 0.361693i
\(343\) 20.7542 35.9473i 1.12062 1.94097i
\(344\) −2.48067 4.29665i −0.133749 0.231660i
\(345\) 3.09322 + 1.12584i 0.166533 + 0.0606132i
\(346\) −8.08272 6.78221i −0.434530 0.364614i
\(347\) 5.68747 9.85098i 0.305319 0.528828i −0.672013 0.740539i \(-0.734570\pi\)
0.977332 + 0.211711i \(0.0679035\pi\)
\(348\) 0.367069 + 2.08175i 0.0196769 + 0.111594i
\(349\) −1.67847 9.51910i −0.0898467 0.509546i −0.996205 0.0870362i \(-0.972260\pi\)
0.906358 0.422510i \(-0.138851\pi\)
\(350\) 3.65060 3.06322i 0.195133 0.163736i
\(351\) 7.78677 2.83415i 0.415627 0.151276i
\(352\) −0.0335613 + 0.0122153i −0.00178882 + 0.000651079i
\(353\) 0.795845 0.667794i 0.0423586 0.0355431i −0.621363 0.783523i \(-0.713421\pi\)
0.663721 + 0.747980i \(0.268976\pi\)
\(354\) −0.850535 4.82362i −0.0452054 0.256373i
\(355\) 1.61450 + 9.15629i 0.0856888 + 0.485965i
\(356\) −5.74061 + 9.94302i −0.304251 + 0.526979i
\(357\) 11.3673 + 9.53831i 0.601622 + 0.504821i
\(358\) −4.57841 1.66640i −0.241976 0.0880722i
\(359\) −1.35539 2.34760i −0.0715347 0.123902i 0.828039 0.560670i \(-0.189456\pi\)
−0.899574 + 0.436768i \(0.856123\pi\)
\(360\) 1.37713 2.38527i 0.0725813 0.125715i
\(361\) −3.62001 + 3.03755i −0.190527 + 0.159871i
\(362\) 3.51915 + 6.09534i 0.184962 + 0.320364i
\(363\) 0.946768 5.36939i 0.0496924 0.281820i
\(364\) 13.8440 0.725621
\(365\) 1.46478 8.30716i 0.0766699 0.434817i
\(366\) 3.67746 + 3.08576i 0.192224 + 0.161295i
\(367\) 24.4423 8.89625i 1.27588 0.464381i 0.386809 0.922160i \(-0.373577\pi\)
0.889066 + 0.457779i \(0.151355\pi\)
\(368\) 6.23993 + 2.27115i 0.325279 + 0.118392i
\(369\) −0.789851 −0.0411180
\(370\) 6.06052 + 0.519740i 0.315071 + 0.0270200i
\(371\) −59.5536 −3.09187
\(372\) 3.63962 + 1.32471i 0.188706 + 0.0686832i
\(373\) 24.7555 9.01028i 1.28179 0.466534i 0.390768 0.920489i \(-0.372209\pi\)
0.891025 + 0.453955i \(0.149987\pi\)
\(374\) 0.171858 + 0.144206i 0.00888657 + 0.00745672i
\(375\) 0.0860798 0.488183i 0.00444514 0.0252096i
\(376\) −0.0845358 −0.00435960
\(377\) 2.15113 12.1997i 0.110789 0.628315i
\(378\) −6.79674 11.7723i −0.349587 0.605502i
\(379\) −12.7884 + 10.7307i −0.656896 + 0.551202i −0.909155 0.416458i \(-0.863271\pi\)
0.252258 + 0.967660i \(0.418827\pi\)
\(380\) −1.88907 + 3.27197i −0.0969075 + 0.167849i
\(381\) −4.85066 8.40159i −0.248507 0.430427i
\(382\) 11.3404 + 4.12755i 0.580223 + 0.211184i
\(383\) −15.9173 13.3562i −0.813335 0.682469i 0.138066 0.990423i \(-0.455911\pi\)
−0.951401 + 0.307954i \(0.900356\pi\)
\(384\) −0.247857 + 0.429301i −0.0126484 + 0.0219077i
\(385\) −0.0295552 0.167616i −0.00150627 0.00854249i
\(386\) −3.19679 18.1299i −0.162712 0.922786i
\(387\) 10.4679 8.78362i 0.532114 0.446496i
\(388\) 4.64120 1.68926i 0.235621 0.0857592i
\(389\) −9.50776 + 3.46054i −0.482063 + 0.175456i −0.571609 0.820526i \(-0.693681\pi\)
0.0895463 + 0.995983i \(0.471458\pi\)
\(390\) 1.10315 0.925654i 0.0558602 0.0468723i
\(391\) −7.24315 41.0779i −0.366302 2.07740i
\(392\) −2.72804 15.4715i −0.137787 0.781428i
\(393\) 1.32414 2.29348i 0.0667941 0.115691i
\(394\) −1.37726 1.15566i −0.0693853 0.0582212i
\(395\) 3.94198 + 1.43476i 0.198342 + 0.0721907i
\(396\) −0.0491846 0.0851903i −0.00247162 0.00428097i
\(397\) −10.3101 + 17.8577i −0.517451 + 0.896251i 0.482344 + 0.875982i \(0.339786\pi\)
−0.999795 + 0.0202691i \(0.993548\pi\)
\(398\) 2.35404 1.97528i 0.117997 0.0990116i
\(399\) 4.46262 + 7.72949i 0.223410 + 0.386958i
\(400\) 0.173648 0.984808i 0.00868241 0.0492404i
\(401\) 25.2432 1.26058 0.630291 0.776359i \(-0.282935\pi\)
0.630291 + 0.776359i \(0.282935\pi\)
\(402\) −0.0430681 + 0.244251i −0.00214804 + 0.0121821i
\(403\) −17.3878 14.5901i −0.866147 0.726784i
\(404\) −12.2381 + 4.45432i −0.608871 + 0.221611i
\(405\) 6.43576 + 2.34243i 0.319796 + 0.116396i
\(406\) −20.3215 −1.00854
\(407\) 0.124302 0.178172i 0.00616142 0.00883167i
\(408\) 3.11382 0.154157
\(409\) 9.86508 + 3.59060i 0.487797 + 0.177544i 0.574197 0.818717i \(-0.305314\pi\)
−0.0864004 + 0.996260i \(0.527536\pi\)
\(410\) −0.269479 + 0.0980823i −0.0133086 + 0.00484394i
\(411\) −2.83983 2.38290i −0.140079 0.117540i
\(412\) 0.908662 5.15328i 0.0447665 0.253884i
\(413\) 47.0870 2.31700
\(414\) −3.17593 + 18.0116i −0.156088 + 0.885221i
\(415\) −3.43226 5.94484i −0.168483 0.291821i
\(416\) 2.22538 1.86732i 0.109108 0.0915527i
\(417\) 2.03104 3.51786i 0.0994603 0.172270i
\(418\) 0.0674687 + 0.116859i 0.00330000 + 0.00571577i
\(419\) 22.1758 + 8.07133i 1.08336 + 0.394310i 0.821157 0.570703i \(-0.193329\pi\)
0.262202 + 0.965013i \(0.415551\pi\)
\(420\) −1.80965 1.51848i −0.0883019 0.0740941i
\(421\) 12.5494 21.7362i 0.611620 1.05936i −0.379347 0.925254i \(-0.623851\pi\)
0.990967 0.134103i \(-0.0428152\pi\)
\(422\) 2.24346 + 12.7233i 0.109210 + 0.619361i
\(423\) −0.0404313 0.229297i −0.00196584 0.0111488i
\(424\) −9.57308 + 8.03277i −0.464910 + 0.390106i
\(425\) −5.90267 + 2.14840i −0.286322 + 0.104213i
\(426\) 4.33096 1.57634i 0.209836 0.0763740i
\(427\) −35.3531 + 29.6648i −1.71086 + 1.43558i
\(428\) 0.789231 + 4.47595i 0.0381489 + 0.216353i
\(429\) −0.00893109 0.0506507i −0.000431197 0.00244544i
\(430\) 2.48067 4.29665i 0.119629 0.207203i
\(431\) −12.5746 10.5513i −0.605696 0.508240i 0.287575 0.957758i \(-0.407151\pi\)
−0.893271 + 0.449519i \(0.851596\pi\)
\(432\) −2.68044 0.975602i −0.128963 0.0469387i
\(433\) 0.784375 + 1.35858i 0.0376946 + 0.0652890i 0.884257 0.467000i \(-0.154665\pi\)
−0.846563 + 0.532289i \(0.821332\pi\)
\(434\) −18.6174 + 32.2463i −0.893665 + 1.54787i
\(435\) −1.61931 + 1.35877i −0.0776402 + 0.0651478i
\(436\) −6.17887 10.7021i −0.295914 0.512538i
\(437\) 4.35656 24.7073i 0.208402 1.18191i
\(438\) −4.18150 −0.199800
\(439\) −3.63953 + 20.6408i −0.173705 + 0.985132i 0.765922 + 0.642933i \(0.222283\pi\)
−0.939628 + 0.342199i \(0.888828\pi\)
\(440\) −0.0273594 0.0229573i −0.00130431 0.00109445i
\(441\) 40.6605 14.7992i 1.93621 0.704724i
\(442\) −17.1474 6.24116i −0.815620 0.296861i
\(443\) −35.9465 −1.70787 −0.853934 0.520381i \(-0.825790\pi\)
−0.853934 + 0.520381i \(0.825790\pi\)
\(444\) −0.267960 3.00338i −0.0127168 0.142534i
\(445\) −11.4812 −0.544262
\(446\) 22.0321 + 8.01904i 1.04325 + 0.379713i
\(447\) 3.67856 1.33889i 0.173990 0.0633271i
\(448\) −3.65060 3.06322i −0.172475 0.144723i
\(449\) 2.99657 16.9944i 0.141417 0.802015i −0.828758 0.559608i \(-0.810952\pi\)
0.970175 0.242408i \(-0.0779371\pi\)
\(450\) 2.75427 0.129837
\(451\) −0.00177853 + 0.0100866i −8.37479e−5 + 0.000474958i
\(452\) −8.69317 15.0570i −0.408892 0.708222i
\(453\) −2.10716 + 1.76812i −0.0990032 + 0.0830736i
\(454\) 7.62717 13.2106i 0.357961 0.620006i
\(455\) 6.92198 + 11.9892i 0.324507 + 0.562063i
\(456\) 1.75993 + 0.640563i 0.0824163 + 0.0299971i
\(457\) 7.81430 + 6.55698i 0.365538 + 0.306722i 0.806993 0.590561i \(-0.201093\pi\)
−0.441456 + 0.897283i \(0.645538\pi\)
\(458\) −2.55082 + 4.41816i −0.119192 + 0.206447i
\(459\) 3.11139 + 17.6456i 0.145227 + 0.823624i
\(460\) 1.15309 + 6.53952i 0.0537633 + 0.304907i
\(461\) −24.6352 + 20.6714i −1.14737 + 0.962761i −0.999655 0.0262683i \(-0.991638\pi\)
−0.147719 + 0.989029i \(0.547193\pi\)
\(462\) −0.0792829 + 0.0288566i −0.00368858 + 0.00134253i
\(463\) 21.6211 7.86944i 1.00482 0.365724i 0.213378 0.976970i \(-0.431554\pi\)
0.791441 + 0.611246i \(0.209331\pi\)
\(464\) −3.26663 + 2.74103i −0.151650 + 0.127249i
\(465\) 0.672575 + 3.81436i 0.0311899 + 0.176887i
\(466\) 4.65133 + 26.3790i 0.215469 + 1.22198i
\(467\) 2.65788 4.60358i 0.122992 0.213028i −0.797954 0.602718i \(-0.794084\pi\)
0.920946 + 0.389690i \(0.127418\pi\)
\(468\) 6.12929 + 5.14309i 0.283327 + 0.237739i
\(469\) −2.24053 0.815486i −0.103458 0.0376556i
\(470\) −0.0422679 0.0732102i −0.00194967 0.00337693i
\(471\) −5.50147 + 9.52882i −0.253494 + 0.439065i
\(472\) 7.56912 6.35124i 0.348397 0.292340i
\(473\) −0.0885978 0.153456i −0.00407373 0.00705591i
\(474\) 0.361102 2.04791i 0.0165859 0.0940636i
\(475\) −3.77815 −0.173353
\(476\) −5.19808 + 29.4798i −0.238254 + 1.35120i
\(477\) −26.3668 22.1244i −1.20725 1.01301i
\(478\) 18.5477 6.75082i 0.848353 0.308775i
\(479\) −3.97224 1.44578i −0.181496 0.0660592i 0.249673 0.968330i \(-0.419677\pi\)
−0.431170 + 0.902271i \(0.641899\pi\)
\(480\) −0.495714 −0.0226261
\(481\) −4.54417 + 17.0763i −0.207196 + 0.778613i
\(482\) −18.7285 −0.853062
\(483\) 14.7408 + 5.36521i 0.670729 + 0.244125i
\(484\) 10.3354 3.76179i 0.469792 0.170990i
\(485\) 3.78354 + 3.17477i 0.171802 + 0.144159i
\(486\) 2.07552 11.7709i 0.0941475 0.533937i
\(487\) −11.3349 −0.513633 −0.256816 0.966460i \(-0.582674\pi\)
−0.256816 + 0.966460i \(0.582674\pi\)
\(488\) −1.68164 + 9.53707i −0.0761244 + 0.431723i
\(489\) 0.324391 + 0.561862i 0.0146695 + 0.0254083i
\(490\) 12.0347 10.0983i 0.543671 0.456194i
\(491\) −7.10326 + 12.3032i −0.320566 + 0.555236i −0.980605 0.195995i \(-0.937206\pi\)
0.660039 + 0.751231i \(0.270540\pi\)
\(492\) 0.0710788 + 0.123112i 0.00320448 + 0.00555032i
\(493\) 25.1707 + 9.16138i 1.13363 + 0.412608i
\(494\) −8.40782 7.05500i −0.378286 0.317419i
\(495\) 0.0491846 0.0851903i 0.00221068 0.00382902i
\(496\) 1.35678 + 7.69469i 0.0609213 + 0.345502i
\(497\) 7.69393 + 43.6344i 0.345120 + 1.95727i
\(498\) −2.60672 + 2.18730i −0.116810 + 0.0980152i
\(499\) −35.1348 + 12.7880i −1.57285 + 0.572471i −0.973634 0.228116i \(-0.926743\pi\)
−0.599217 + 0.800587i \(0.704521\pi\)
\(500\) 0.939693 0.342020i 0.0420243 0.0152956i
\(501\) −2.32084 + 1.94742i −0.103688 + 0.0870042i
\(502\) 1.84082 + 10.4398i 0.0821600 + 0.465952i
\(503\) 2.86438 + 16.2447i 0.127716 + 0.724315i 0.979657 + 0.200677i \(0.0643143\pi\)
−0.851941 + 0.523638i \(0.824575\pi\)
\(504\) 6.56276 11.3670i 0.292328 0.506328i
\(505\) −9.97663 8.37138i −0.443954 0.372522i
\(506\) 0.222861 + 0.0811146i 0.00990736 + 0.00360598i
\(507\) −1.13043 1.95796i −0.0502041 0.0869560i
\(508\) 9.78521 16.9485i 0.434148 0.751967i
\(509\) −7.38147 + 6.19379i −0.327178 + 0.274535i −0.791549 0.611106i \(-0.790725\pi\)
0.464371 + 0.885641i \(0.346280\pi\)
\(510\) 1.55691 + 2.69665i 0.0689412 + 0.119410i
\(511\) 6.98042 39.5879i 0.308796 1.75127i
\(512\) −1.00000 −0.0441942
\(513\) −1.87142 + 10.6133i −0.0826250 + 0.468590i
\(514\) 9.31894 + 7.81952i 0.411041 + 0.344904i
\(515\) 4.91720 1.78971i 0.216678 0.0788642i
\(516\) −2.31109 0.841167i −0.101740 0.0370303i
\(517\) −0.00301922 −0.000132785
\(518\) 28.8815 + 2.47683i 1.26898 + 0.108826i
\(519\) −5.23040 −0.229589
\(520\) 2.72983 + 0.993578i 0.119711 + 0.0435713i
\(521\) −3.16796 + 1.15304i −0.138791 + 0.0505158i −0.410482 0.911869i \(-0.634639\pi\)
0.271691 + 0.962385i \(0.412417\pi\)
\(522\) −8.99718 7.54953i −0.393796 0.330434i
\(523\) −7.56959 + 42.9293i −0.330995 + 1.87717i 0.132677 + 0.991159i \(0.457643\pi\)
−0.463672 + 0.886007i \(0.653468\pi\)
\(524\) 5.34236 0.233382
\(525\) 0.410215 2.32644i 0.0179032 0.101534i
\(526\) 15.7952 + 27.3581i 0.688703 + 1.19287i
\(527\) 37.5973 31.5479i 1.63776 1.37425i
\(528\) −0.00885226 + 0.0153326i −0.000385245 + 0.000667264i
\(529\) −10.5475 18.2687i −0.458585 0.794292i
\(530\) −11.7431 4.27415i −0.510089 0.185657i
\(531\) 20.8474 + 17.4930i 0.904699 + 0.759133i
\(532\) −9.00242 + 15.5926i −0.390304 + 0.676027i
\(533\) −0.144664 0.820429i −0.00626608 0.0355367i
\(534\) 0.988300 + 5.60493i 0.0427679 + 0.242549i
\(535\) −3.48167 + 2.92147i −0.150526 + 0.126306i
\(536\) −0.470154 + 0.171122i −0.0203076 + 0.00739135i
\(537\) −2.26958 + 0.826059i −0.0979395 + 0.0356471i
\(538\) 6.62225 5.55672i 0.285505 0.239567i
\(539\) −0.0974325 0.552567i −0.00419671 0.0238007i
\(540\) −0.495326 2.80913i −0.0213154 0.120886i
\(541\) −14.4896 + 25.0968i −0.622958 + 1.07899i 0.365974 + 0.930625i \(0.380736\pi\)
−0.988932 + 0.148369i \(0.952598\pi\)
\(542\) 1.72916 + 1.45094i 0.0742737 + 0.0623230i
\(543\) 3.27857 + 1.19330i 0.140697 + 0.0512094i
\(544\) 3.14075 + 5.43993i 0.134658 + 0.233235i
\(545\) 6.17887 10.7021i 0.264674 0.458428i
\(546\) 5.25709 4.41122i 0.224983 0.188783i
\(547\) −2.56162 4.43686i −0.109527 0.189706i 0.806052 0.591845i \(-0.201600\pi\)
−0.915579 + 0.402139i \(0.868267\pi\)
\(548\) 1.29861 7.36477i 0.0554738 0.314608i
\(549\) −26.6729 −1.13837
\(550\) 0.00620188 0.0351726i 0.000264449 0.00149977i
\(551\) 12.3418 + 10.3560i 0.525780 + 0.441181i
\(552\) 3.09322 1.12584i 0.131656 0.0479189i
\(553\) 18.7856 + 6.83738i 0.798843 + 0.290755i
\(554\) −9.39570 −0.399185
\(555\) 2.46702 1.73375i 0.104719 0.0735935i
\(556\) 8.19440 0.347520
\(557\) 1.60035 + 0.582480i 0.0678091 + 0.0246805i 0.375702 0.926741i \(-0.377402\pi\)
−0.307893 + 0.951421i \(0.599624\pi\)
\(558\) −20.2224 + 7.36034i −0.856081 + 0.311588i
\(559\) 11.0409 + 9.26441i 0.466980 + 0.391843i
\(560\) 0.827523 4.69312i 0.0349692 0.198320i
\(561\) 0.111211 0.00469532
\(562\) 0.0250050 0.141810i 0.00105477 0.00598190i
\(563\) 18.6749 + 32.3460i 0.787055 + 1.36322i 0.927764 + 0.373169i \(0.121729\pi\)
−0.140708 + 0.990051i \(0.544938\pi\)
\(564\) −0.0321015 + 0.0269364i −0.00135172 + 0.00113423i
\(565\) 8.69317 15.0570i 0.365724 0.633453i
\(566\) −13.2173 22.8930i −0.555564 0.962265i
\(567\) 30.6697 + 11.1629i 1.28801 + 0.468797i
\(568\) 7.12233 + 5.97634i 0.298846 + 0.250762i
\(569\) 20.9872 36.3509i 0.879830 1.52391i 0.0283028 0.999599i \(-0.490990\pi\)
0.851527 0.524311i \(-0.175677\pi\)
\(570\) 0.325222 + 1.84443i 0.0136221 + 0.0772545i
\(571\) 4.32658 + 24.5373i 0.181062 + 1.02685i 0.930912 + 0.365245i \(0.119015\pi\)
−0.749850 + 0.661608i \(0.769874\pi\)
\(572\) 0.0794799 0.0666916i 0.00332322 0.00278852i
\(573\) 5.62157 2.04608i 0.234844 0.0854763i
\(574\) −1.28421 + 0.467413i −0.0536017 + 0.0195094i
\(575\) −5.08684 + 4.26837i −0.212136 + 0.178003i
\(576\) −0.478274 2.71242i −0.0199281 0.113018i
\(577\) 2.51562 + 14.2668i 0.104727 + 0.593934i 0.991329 + 0.131402i \(0.0419478\pi\)
−0.886603 + 0.462532i \(0.846941\pi\)
\(578\) 11.2286 19.4485i 0.467047 0.808950i
\(579\) −6.99082 5.86599i −0.290529 0.243782i
\(580\) −4.00712 1.45847i −0.166387 0.0605597i
\(581\) −16.3565 28.3303i −0.678581 1.17534i
\(582\) 1.22418 2.12034i 0.0507439 0.0878911i
\(583\) −0.341905 + 0.286892i −0.0141602 + 0.0118819i
\(584\) −4.21766 7.30520i −0.174528 0.302291i
\(585\) −1.38940 + 7.87967i −0.0574446 + 0.325784i
\(586\) 13.0223 0.537948
\(587\) −3.71810 + 21.0864i −0.153463 + 0.870329i 0.806715 + 0.590940i \(0.201243\pi\)
−0.960178 + 0.279389i \(0.909868\pi\)
\(588\) −5.96575 5.00586i −0.246023 0.206438i
\(589\) 27.7399 10.0965i 1.14300 0.416019i
\(590\) 9.28489 + 3.37943i 0.382253 + 0.139129i
\(591\) −0.891236 −0.0366605
\(592\) 4.97671 3.49748i 0.204541 0.143746i
\(593\) 23.1182 0.949350 0.474675 0.880161i \(-0.342566\pi\)
0.474675 + 0.880161i \(0.342566\pi\)
\(594\) −0.0957326 0.0348438i −0.00392796 0.00142966i
\(595\) −28.1293 + 10.2382i −1.15319 + 0.419726i
\(596\) 6.04944 + 5.07608i 0.247795 + 0.207924i
\(597\) 0.264522 1.50018i 0.0108262 0.0613982i
\(598\) −19.2905 −0.788849
\(599\) −5.02215 + 28.4820i −0.205199 + 1.16374i 0.691926 + 0.721968i \(0.256762\pi\)
−0.897126 + 0.441775i \(0.854349\pi\)
\(600\) −0.247857 0.429301i −0.0101187 0.0175261i
\(601\) −5.01722 + 4.20994i −0.204657 + 0.171727i −0.739355 0.673316i \(-0.764870\pi\)
0.534699 + 0.845043i \(0.320425\pi\)
\(602\) 11.8217 20.4758i 0.481816 0.834530i
\(603\) −0.689018 1.19341i −0.0280590 0.0485996i
\(604\) −5.21434 1.89787i −0.212169 0.0772230i
\(605\) 8.42551 + 7.06984i 0.342546 + 0.287430i
\(606\) −3.22798 + 5.59102i −0.131128 + 0.227120i
\(607\) 8.41297 + 47.7123i 0.341472 + 1.93658i 0.350339 + 0.936623i \(0.386066\pi\)
−0.00886689 + 0.999961i \(0.502822\pi\)
\(608\) 0.656069 + 3.72075i 0.0266071 + 0.150896i
\(609\) −7.71687 + 6.47522i −0.312703 + 0.262389i
\(610\) −9.10016 + 3.31219i −0.368455 + 0.134107i
\(611\) 0.230769 0.0839930i 0.00933591 0.00339799i
\(612\) −13.2533 + 11.1208i −0.535732 + 0.449532i
\(613\) 6.68962 + 37.9387i 0.270191 + 1.53233i 0.753834 + 0.657065i \(0.228202\pi\)
−0.483643 + 0.875266i \(0.660687\pi\)
\(614\) −3.95758 22.4445i −0.159715 0.905788i
\(615\) −0.0710788 + 0.123112i −0.00286617 + 0.00496436i
\(616\) −0.130382 0.109403i −0.00525323 0.00440799i
\(617\) −26.2780 9.56442i −1.05791 0.385049i −0.246270 0.969201i \(-0.579205\pi\)
−0.811644 + 0.584152i \(0.801427\pi\)
\(618\) −1.29698 2.24643i −0.0521721 0.0903648i
\(619\) 12.1022 20.9616i 0.486427 0.842517i −0.513451 0.858119i \(-0.671633\pi\)
0.999878 + 0.0156020i \(0.00496646\pi\)
\(620\) −5.98541 + 5.02235i −0.240380 + 0.201703i
\(621\) 9.47077 + 16.4038i 0.380049 + 0.658264i
\(622\) −4.63208 + 26.2698i −0.185730 + 1.05332i
\(623\) −54.7139 −2.19207
\(624\) 0.250064 1.41818i 0.0100106 0.0567728i
\(625\) 0.766044 + 0.642788i 0.0306418 + 0.0257115i
\(626\) −16.1417 + 5.87510i −0.645153 + 0.234816i
\(627\) 0.0628563 + 0.0228778i 0.00251024 + 0.000913653i
\(628\) −22.1961 −0.885723
\(629\) −34.6566 16.0883i −1.38185 0.641481i
\(630\) 13.1255 0.522933
\(631\) −25.1948 9.17015i −1.00299 0.365058i −0.212252 0.977215i \(-0.568080\pi\)
−0.790736 + 0.612157i \(0.790302\pi\)
\(632\) 3.94198 1.43476i 0.156803 0.0570718i
\(633\) 4.90607 + 4.11668i 0.194999 + 0.163623i
\(634\) 3.63150 20.5952i 0.144225 0.817941i
\(635\) 19.5704 0.776628
\(636\) −1.07572 + 6.10070i −0.0426550 + 0.241909i
\(637\) 22.8192 + 39.5240i 0.904130 + 1.56600i
\(638\) −0.116668 + 0.0978965i −0.00461895 + 0.00387576i
\(639\) −12.8040 + 22.1771i −0.506517 + 0.877313i
\(640\) −0.500000 0.866025i −0.0197642 0.0342327i
\(641\) −23.1443 8.42383i −0.914145 0.332721i −0.158238 0.987401i \(-0.550581\pi\)
−0.755907 + 0.654680i \(0.772804\pi\)
\(642\) 1.72591 + 1.44821i 0.0681164 + 0.0571564i
\(643\) 1.01230 1.75336i 0.0399212 0.0691456i −0.845374 0.534174i \(-0.820623\pi\)
0.885296 + 0.465029i \(0.153956\pi\)
\(644\) 5.49509 + 31.1642i 0.216537 + 1.22804i
\(645\) −0.427072 2.42204i −0.0168159 0.0953679i
\(646\) 18.1801 15.2549i 0.715286 0.600196i
\(647\) −1.81973 + 0.662326i −0.0715408 + 0.0260387i −0.377543 0.925992i \(-0.623231\pi\)
0.306002 + 0.952031i \(0.401009\pi\)
\(648\) 6.43576 2.34243i 0.252821 0.0920192i
\(649\) 0.270333 0.226836i 0.0106115 0.00890409i
\(650\) 0.504453 + 2.86089i 0.0197863 + 0.112214i
\(651\) 3.20517 + 18.1774i 0.125620 + 0.712429i
\(652\) −0.654392 + 1.13344i −0.0256280 + 0.0443890i
\(653\) −34.7672 29.1731i −1.36054 1.14163i −0.975814 0.218604i \(-0.929850\pi\)
−0.384731 0.923029i \(-0.625706\pi\)
\(654\) −5.75646 2.09518i −0.225095 0.0819280i
\(655\) 2.67118 + 4.62662i 0.104372 + 0.180777i
\(656\) −0.143387 + 0.248353i −0.00559831 + 0.00969656i
\(657\) 17.7976 14.9340i 0.694350 0.582629i
\(658\) −0.201428 0.348884i −0.00785250 0.0136009i
\(659\) −1.44482 + 8.19396i −0.0562820 + 0.319191i −0.999931 0.0117571i \(-0.996258\pi\)
0.943649 + 0.330948i \(0.107369\pi\)
\(660\) −0.0177045 −0.000689147
\(661\) 2.76227 15.6656i 0.107440 0.609323i −0.882778 0.469791i \(-0.844329\pi\)
0.990218 0.139531i \(-0.0445596\pi\)
\(662\) −26.7795 22.4707i −1.04081 0.873347i
\(663\) −8.50022 + 3.09383i −0.330121 + 0.120154i
\(664\) −6.45053 2.34780i −0.250329 0.0911124i
\(665\) −18.0048 −0.698198
\(666\) 11.8669 + 11.8262i 0.459832 + 0.458256i
\(667\) 28.3166 1.09642
\(668\) −5.74310 2.09032i −0.222207 0.0808769i
\(669\) 10.9216 3.97515i 0.422255 0.153688i
\(670\) −0.383273 0.321605i −0.0148071 0.0124247i
\(671\) −0.0600602 + 0.340618i −0.00231860 + 0.0131494i
\(672\) −2.36233 −0.0911289
\(673\) −3.83282 + 21.7370i −0.147744 + 0.837900i 0.817378 + 0.576102i \(0.195427\pi\)
−0.965123 + 0.261799i \(0.915684\pi\)
\(674\) −12.3498 21.3906i −0.475698 0.823933i
\(675\) 2.18512 1.83353i 0.0841052 0.0705727i
\(676\) 2.28041 3.94978i 0.0877079 0.151915i
\(677\) 10.2435 + 17.7423i 0.393690 + 0.681890i 0.992933 0.118676i \(-0.0378651\pi\)
−0.599243 + 0.800567i \(0.704532\pi\)
\(678\) −8.09887 2.94775i −0.311035 0.113208i
\(679\) 18.0305 + 15.1294i 0.691949 + 0.580614i
\(680\) −3.14075 + 5.43993i −0.120442 + 0.208612i
\(681\) −1.31309 7.44690i −0.0503177 0.285366i
\(682\) 0.0484577 + 0.274817i 0.00185554 + 0.0105233i
\(683\) 5.57819 4.68066i 0.213444 0.179100i −0.529797 0.848124i \(-0.677732\pi\)
0.743241 + 0.669024i \(0.233288\pi\)
\(684\) −9.77848 + 3.55907i −0.373889 + 0.136085i
\(685\) 7.02738 2.55776i 0.268503 0.0977269i
\(686\) 31.7972 26.6811i 1.21402 1.01869i
\(687\) 0.439149 + 2.49054i 0.0167546 + 0.0950199i
\(688\) −0.861529 4.88597i −0.0328455 0.186276i
\(689\) 18.1517 31.4397i 0.691526 1.19776i
\(690\) 2.52162 + 2.11589i 0.0959963 + 0.0805505i
\(691\) 6.42415 + 2.33820i 0.244386 + 0.0889493i 0.461309 0.887239i \(-0.347380\pi\)
−0.216923 + 0.976189i \(0.569602\pi\)
\(692\) −5.27562 9.13765i −0.200549 0.347361i
\(693\) 0.234390 0.405976i 0.00890375 0.0154217i
\(694\) 8.71371 7.31167i 0.330768 0.277547i
\(695\) 4.09720 + 7.09656i 0.155416 + 0.269188i
\(696\) −0.367069 + 2.08175i −0.0139137 + 0.0789085i
\(697\) 1.80137 0.0682316
\(698\) 1.67847 9.51910i 0.0635312 0.360303i
\(699\) 10.1717 + 8.53503i 0.384727 + 0.322824i
\(700\) 4.47812 1.62990i 0.169257 0.0616045i
\(701\) −20.2481 7.36970i −0.764759 0.278350i −0.0699565 0.997550i \(-0.522286\pi\)
−0.694803 + 0.719200i \(0.744508\pi\)
\(702\) 8.28650 0.312754
\(703\) −16.2783 16.2225i −0.613948 0.611843i
\(704\) −0.0357152 −0.00134607
\(705\) −0.0393784 0.0143325i −0.00148307 0.000539795i
\(706\) 0.976249 0.355326i 0.0367416 0.0133729i
\(707\) −47.5438 39.8940i −1.78807 1.50037i
\(708\) 0.850535 4.82362i 0.0319651 0.181283i
\(709\) 18.9008 0.709834 0.354917 0.934898i \(-0.384509\pi\)
0.354917 + 0.934898i \(0.384509\pi\)
\(710\) −1.61450 + 9.15629i −0.0605911 + 0.343629i
\(711\) 5.77703 + 10.0061i 0.216655 + 0.375258i
\(712\) −8.79512 + 7.37998i −0.329611 + 0.276576i
\(713\) 25.9420 44.9329i 0.971537 1.68275i
\(714\) 7.41949 + 12.8509i 0.277667 + 0.480934i
\(715\) 0.0974966 + 0.0354858i 0.00364616 + 0.00132710i
\(716\) −3.73235 3.13181i −0.139485 0.117041i
\(717\) 4.89222 8.47357i 0.182703 0.316451i
\(718\) −0.470721 2.66959i −0.0175672 0.0996283i
\(719\) −3.52293 19.9796i −0.131383 0.745112i −0.977310 0.211813i \(-0.932063\pi\)
0.845927 0.533299i \(-0.179048\pi\)
\(720\) 2.10989 1.77041i 0.0786310 0.0659793i
\(721\) 23.4330 8.52891i 0.872690 0.317633i
\(722\) −4.44060 + 1.61625i −0.165262 + 0.0601504i
\(723\) −7.11195 + 5.96764i −0.264496 + 0.221939i
\(724\) 1.22219 + 6.93136i 0.0454222 + 0.257602i
\(725\) −0.740486 4.19950i −0.0275009 0.155966i
\(726\) 2.72611 4.72176i 0.101175 0.175241i
\(727\) −24.1230 20.2416i −0.894673 0.750720i 0.0744689 0.997223i \(-0.476274\pi\)
−0.969142 + 0.246504i \(0.920718\pi\)
\(728\) 13.0091 + 4.73491i 0.482148 + 0.175488i
\(729\) 7.31070 + 12.6625i 0.270767 + 0.468982i
\(730\) 4.21766 7.30520i 0.156102 0.270377i
\(731\) −23.8735 + 20.0323i −0.882994 + 0.740920i
\(732\) 2.40029 + 4.15743i 0.0887174 + 0.153663i
\(733\) 3.19189 18.1021i 0.117895 0.668618i −0.867381 0.497645i \(-0.834198\pi\)
0.985276 0.170972i \(-0.0546908\pi\)
\(734\) 26.0109 0.960080
\(735\) 1.35233 7.66942i 0.0498813 0.282891i
\(736\) 5.08684 + 4.26837i 0.187503 + 0.157334i
\(737\) −0.0167917 + 0.00611166i −0.000618529 + 0.000225126i
\(738\) −0.742217 0.270145i −0.0273214 0.00994417i
\(739\) 22.0793 0.812200 0.406100 0.913829i \(-0.366888\pi\)
0.406100 + 0.913829i \(0.366888\pi\)
\(740\) 5.51726 + 2.56122i 0.202819 + 0.0941521i
\(741\) −5.44077 −0.199872
\(742\) −55.9620 20.3685i −2.05443 0.747752i
\(743\) −4.07813 + 1.48432i −0.149612 + 0.0544544i −0.415741 0.909483i \(-0.636478\pi\)
0.266129 + 0.963938i \(0.414255\pi\)
\(744\) 2.96705 + 2.48965i 0.108777 + 0.0912749i
\(745\) −1.37130 + 7.77700i −0.0502404 + 0.284927i
\(746\) 26.3443 0.964533
\(747\) 3.28312 18.6195i 0.120123 0.681251i
\(748\) 0.112172 + 0.194288i 0.00410143 + 0.00710389i
\(749\) −16.5920 + 13.9223i −0.606258 + 0.508711i
\(750\) 0.247857 0.429301i 0.00905045 0.0156758i
\(751\) −6.99791 12.1207i −0.255357 0.442292i 0.709635 0.704569i \(-0.248860\pi\)
−0.964992 + 0.262277i \(0.915526\pi\)
\(752\) −0.0794377 0.0289130i −0.00289680 0.00105435i
\(753\) 4.02556 + 3.37785i 0.146700 + 0.123096i
\(754\) 6.19394 10.7282i 0.225570 0.390698i
\(755\) −0.963571 5.46469i −0.0350680 0.198880i
\(756\) −2.36048 13.3870i −0.0858500 0.486879i
\(757\) 18.0011 15.1047i 0.654261 0.548990i −0.254099 0.967178i \(-0.581779\pi\)
0.908361 + 0.418188i \(0.137335\pi\)
\(758\) −15.6873 + 5.70971i −0.569789 + 0.207386i
\(759\) 0.110475 0.0402096i 0.00400999 0.00145952i
\(760\) −2.89423 + 2.42855i −0.104985 + 0.0880927i
\(761\) 6.86355 + 38.9251i 0.248804 + 1.41104i 0.811491 + 0.584365i \(0.198657\pi\)
−0.562687 + 0.826670i \(0.690232\pi\)
\(762\) −1.68462 9.55394i −0.0610272 0.346103i
\(763\) 29.4455 51.0011i 1.06600 1.84636i
\(764\) 9.24474 + 7.75726i 0.334463 + 0.280648i
\(765\) −16.2575 5.91726i −0.587793 0.213939i
\(766\) −10.3893 17.9947i −0.375379 0.650176i
\(767\) −14.3520 + 24.8583i −0.518220 + 0.897583i
\(768\) −0.379739 + 0.318639i −0.0137026 + 0.0114979i
\(769\) −8.38223 14.5184i −0.302271 0.523548i 0.674379 0.738385i \(-0.264411\pi\)
−0.976650 + 0.214837i \(0.931078\pi\)
\(770\) 0.0295552 0.167616i 0.00106509 0.00604045i
\(771\) 6.03036 0.217178
\(772\) 3.19679 18.1299i 0.115055 0.652508i
\(773\) −28.5419 23.9495i −1.02658 0.861405i −0.0361422 0.999347i \(-0.511507\pi\)
−0.990440 + 0.137942i \(0.955951\pi\)
\(774\) 12.8408 4.67367i 0.461553 0.167991i
\(775\) −7.34219 2.67234i −0.263739 0.0959932i
\(776\) 4.93907 0.177302
\(777\) 11.7566 8.26221i 0.421767 0.296405i
\(778\) −10.1179 −0.362746
\(779\) 1.01813 + 0.370570i 0.0364784 + 0.0132770i
\(780\) 1.35322 0.492530i 0.0484529 0.0176354i
\(781\) 0.254375 + 0.213446i 0.00910227 + 0.00763771i
\(782\) 7.24315 41.0779i 0.259014 1.46894i
\(783\) −12.1637 −0.434697
\(784\) 2.72804 15.4715i 0.0974300 0.552553i
\(785\) −11.0981 19.2224i −0.396107 0.686078i
\(786\) 2.02870 1.70228i 0.0723614 0.0607184i
\(787\) −25.0993 + 43.4732i −0.894692 + 1.54965i −0.0605071 + 0.998168i \(0.519272\pi\)
−0.834185 + 0.551485i \(0.814062\pi\)
\(788\) −0.898942 1.55701i −0.0320235 0.0554663i
\(789\) 14.7154 + 5.35596i 0.523881 + 0.190677i
\(790\) 3.21353 + 2.69647i 0.114332 + 0.0959361i
\(791\) 41.4274 71.7544i 1.47299 2.55129i
\(792\) −0.0170816 0.0968748i −0.000606970 0.00344230i
\(793\) −4.88522 27.7055i −0.173479 0.983849i
\(794\) −15.7960 + 13.2545i −0.560581 + 0.470383i
\(795\) −5.82122 + 2.11875i −0.206458 + 0.0751444i
\(796\) 2.88766 1.05102i 0.102350 0.0372525i
\(797\) 23.2632 19.5201i 0.824023 0.691438i −0.129887 0.991529i \(-0.541462\pi\)
0.953911 + 0.300091i \(0.0970171\pi\)
\(798\) 1.54985 + 8.78965i 0.0548642 + 0.311150i
\(799\) 0.0922092 + 0.522944i 0.00326213 + 0.0185004i
\(800\) 0.500000 0.866025i 0.0176777 0.0306186i
\(801\) −24.2241 20.3264i −0.855917 0.718200i
\(802\) 23.7208 + 8.63367i 0.837611 + 0.304865i
\(803\) −0.150634 0.260907i −0.00531578 0.00920719i
\(804\) −0.124010 + 0.214791i −0.00437348 + 0.00757510i
\(805\) −24.2414 + 20.3410i −0.854398 + 0.716925i
\(806\) −11.3491 19.6572i −0.399754 0.692394i
\(807\) 0.744136 4.22021i 0.0261948 0.148558i
\(808\) −13.0236 −0.458167
\(809\) −2.22273 + 12.6057i −0.0781471 + 0.443194i 0.920479 + 0.390792i \(0.127799\pi\)
−0.998626 + 0.0524020i \(0.983312\pi\)
\(810\) 5.24648 + 4.40232i 0.184343 + 0.154682i
\(811\) −7.45997 + 2.71521i −0.261955 + 0.0953438i −0.469659 0.882848i \(-0.655623\pi\)
0.207704 + 0.978192i \(0.433401\pi\)
\(812\) −19.0960 6.95037i −0.670138 0.243910i
\(813\) 1.11895 0.0392434
\(814\) 0.177744 0.124913i 0.00622993 0.00437821i
\(815\) −1.30878 −0.0458447
\(816\) 2.92604 + 1.06499i 0.102432 + 0.0372821i
\(817\) −17.6143 + 6.41107i −0.616245 + 0.224295i
\(818\) 8.04209 + 6.74811i 0.281185 + 0.235942i
\(819\) −6.62120 + 37.5507i −0.231363 + 1.31213i
\(820\) −0.286773 −0.0100146
\(821\) −2.77322 + 15.7277i −0.0967859 + 0.548900i 0.897400 + 0.441219i \(0.145454\pi\)
−0.994185 + 0.107681i \(0.965657\pi\)
\(822\) −1.85357 3.21048i −0.0646506 0.111978i
\(823\) −18.7932 + 15.7694i −0.655090 + 0.549686i −0.908611 0.417644i \(-0.862856\pi\)
0.253521 + 0.967330i \(0.418411\pi\)
\(824\) 2.61639 4.53172i 0.0911462 0.157870i
\(825\) −0.00885226 0.0153326i −0.000308196 0.000533811i
\(826\) 44.2473 + 16.1047i 1.53956 + 0.560354i
\(827\) 0.0634080 + 0.0532057i 0.00220491 + 0.00185014i 0.643889 0.765119i \(-0.277320\pi\)
−0.641684 + 0.766969i \(0.721764\pi\)
\(828\) −9.14472 + 15.8391i −0.317801 + 0.550447i
\(829\) 1.55065 + 8.79419i 0.0538564 + 0.305435i 0.999823 0.0188301i \(-0.00599417\pi\)
−0.945966 + 0.324265i \(0.894883\pi\)
\(830\) −1.19201 6.76023i −0.0413753 0.234651i
\(831\) −3.56791 + 2.99383i −0.123769 + 0.103855i
\(832\) 2.72983 0.993578i 0.0946400 0.0344461i
\(833\) −92.7319 + 33.7516i −3.21297 + 1.16943i
\(834\) 3.11173 2.61105i 0.107750 0.0904133i
\(835\) −1.06128 6.01883i −0.0367272 0.208290i
\(836\) 0.0234316 + 0.132887i 0.000810400 + 0.00459601i
\(837\) −11.1437 + 19.3015i −0.385184 + 0.667158i
\(838\) 18.0779 + 15.1691i 0.624490 + 0.524009i
\(839\) 16.1386 + 5.87396i 0.557166 + 0.202792i 0.605227 0.796053i \(-0.293082\pi\)
−0.0480617 + 0.998844i \(0.515304\pi\)
\(840\) −1.18117 2.04584i −0.0407541 0.0705882i
\(841\) 5.40793 9.36681i 0.186480 0.322994i
\(842\) 19.2268 16.1332i 0.662599 0.555986i
\(843\) −0.0356909 0.0618184i −0.00122926 0.00212914i
\(844\) −2.24346 + 12.7233i −0.0772232 + 0.437954i
\(845\) 4.56081 0.156897
\(846\) 0.0404313 0.229297i 0.00139006 0.00788340i
\(847\) 40.1519 + 33.6915i 1.37964 + 1.15765i
\(848\) −11.7431 + 4.27415i −0.403260 + 0.146775i
\(849\) −12.3137 4.48182i −0.422605 0.153816i
\(850\) −6.28149 −0.215453
\(851\) −40.2443 3.45128i −1.37956 0.118308i
\(852\) 4.60892 0.157899
\(853\) 15.7256 + 5.72366i 0.538435 + 0.195974i 0.596901 0.802315i \(-0.296399\pi\)
−0.0584657 + 0.998289i \(0.518621\pi\)
\(854\) −43.3670 + 15.7843i −1.48399 + 0.540127i
\(855\) −7.97149 6.68887i −0.272619 0.228755i
\(856\) −0.789231 + 4.47595i −0.0269754 + 0.152985i
\(857\) 43.7498 1.49446 0.747232 0.664563i \(-0.231382\pi\)
0.747232 + 0.664563i \(0.231382\pi\)
\(858\) 0.00893109 0.0506507i 0.000304902 0.00172919i
\(859\) −7.87654 13.6426i −0.268744 0.465478i 0.699794 0.714345i \(-0.253275\pi\)
−0.968538 + 0.248867i \(0.919942\pi\)
\(860\) 3.80061 3.18909i 0.129600 0.108747i
\(861\) −0.338727 + 0.586692i −0.0115438 + 0.0199944i
\(862\) −8.20748 14.2158i −0.279548 0.484191i
\(863\) −38.9938 14.1926i −1.32737 0.483122i −0.421555 0.906803i \(-0.638515\pi\)
−0.905811 + 0.423681i \(0.860738\pi\)
\(864\) −2.18512 1.83353i −0.0743392 0.0623780i
\(865\) 5.27562 9.13765i 0.179377 0.310689i
\(866\) 0.272410 + 1.54492i 0.00925688 + 0.0524984i
\(867\) −1.93311 10.9632i −0.0656518 0.372330i
\(868\) −28.5236 + 23.9341i −0.968153 + 0.812377i
\(869\) 0.140789 0.0512428i 0.00477592 0.00173829i
\(870\) −1.98638 + 0.722984i −0.0673447 + 0.0245115i
\(871\) 1.11342 0.934270i 0.0377268 0.0316565i
\(872\) −2.14590 12.1700i −0.0726693 0.412128i
\(873\) 2.36223 + 13.3968i 0.0799492 + 0.453415i
\(874\) 12.5442 21.7272i 0.424314 0.734934i
\(875\) 3.65060 + 3.06322i 0.123413 + 0.103556i
\(876\) −3.92932 1.43016i −0.132760 0.0483205i
\(877\) −8.96793 15.5329i −0.302826 0.524509i 0.673949 0.738778i \(-0.264597\pi\)
−0.976775 + 0.214268i \(0.931263\pi\)
\(878\) −10.4796 + 18.1512i −0.353670 + 0.612574i
\(879\) 4.94508 4.14942i 0.166794 0.139956i
\(880\) −0.0178576 0.0309303i −0.000601980 0.00104266i
\(881\) −2.08200 + 11.8076i −0.0701444 + 0.397809i 0.929440 + 0.368974i \(0.120291\pi\)
−0.999584 + 0.0288348i \(0.990820\pi\)
\(882\) 43.2700 1.45698
\(883\) 5.22705 29.6441i 0.175904 0.997602i −0.761191 0.648528i \(-0.775385\pi\)
0.937095 0.349074i \(-0.113504\pi\)
\(884\) −13.9787 11.7295i −0.470155 0.394507i
\(885\) 4.60265 1.67523i 0.154716 0.0563121i
\(886\) −33.7786 12.2944i −1.13482 0.413039i
\(887\) −5.27048 −0.176965 −0.0884827 0.996078i \(-0.528202\pi\)
−0.0884827 + 0.996078i \(0.528202\pi\)
\(888\) 0.775416 2.91390i 0.0260213 0.0977841i
\(889\) 93.2632 3.12795
\(890\) −10.7888 3.92681i −0.361642 0.131627i
\(891\) 0.229855 0.0836602i 0.00770042 0.00280272i
\(892\) 17.9608 + 15.0709i 0.601371 + 0.504610i
\(893\) −0.0554613 + 0.314537i −0.00185594 + 0.0105256i
\(894\) 3.91464 0.130925
\(895\) 0.846055 4.79822i 0.0282805 0.160387i
\(896\) −2.38276 4.12706i −0.0796024 0.137875i
\(897\) −7.32537 + 6.14671i −0.244587 + 0.205233i
\(898\) 8.62828 14.9446i 0.287930 0.498709i
\(899\) 16.6593 + 28.8547i 0.555618 + 0.962358i
\(900\) 2.58817 + 0.942015i 0.0862722 + 0.0314005i
\(901\) 60.1332 + 50.4578i 2.00333 + 1.68099i
\(902\) −0.00512109 + 0.00886998i −0.000170514 + 0.000295338i
\(903\) −2.03522 11.5423i −0.0677278 0.384103i
\(904\) −3.01910 17.1222i −0.100414 0.569476i
\(905\) −5.39164 + 4.52413i −0.179224 + 0.150387i
\(906\) −2.58482 + 0.940798i −0.0858749 + 0.0312559i
\(907\) 36.9213 13.4383i 1.22595 0.446210i 0.353742 0.935343i \(-0.384909\pi\)
0.872209 + 0.489133i \(0.162687\pi\)
\(908\) 11.6855 9.80530i 0.387797 0.325400i
\(909\) −6.22883 35.3254i −0.206597 1.17167i
\(910\) 2.40398 + 13.6336i 0.0796911 + 0.451951i
\(911\) 10.9663 18.9942i 0.363330 0.629307i −0.625176 0.780484i \(-0.714973\pi\)
0.988507 + 0.151177i \(0.0483063\pi\)
\(912\) 1.43471 + 1.20386i 0.0475080 + 0.0398639i
\(913\) −0.230382 0.0838523i −0.00762454 0.00277510i
\(914\) 5.10042 + 8.83419i 0.168707 + 0.292209i
\(915\) −2.40029 + 4.15743i −0.0793512 + 0.137440i
\(916\) −3.90809 + 3.27928i −0.129127 + 0.108350i
\(917\) 12.7296 + 22.0482i 0.420367 + 0.728097i
\(918\) −3.11139 + 17.6456i −0.102691 + 0.582390i
\(919\) 34.5020 1.13812 0.569058 0.822298i \(-0.307308\pi\)
0.569058 + 0.822298i \(0.307308\pi\)
\(920\) −1.15309 + 6.53952i −0.0380164 + 0.215601i
\(921\) −8.65454 7.26202i −0.285177 0.239292i
\(922\) −30.2195 + 10.9990i −0.995226 + 0.362233i
\(923\) −25.3807 9.23783i −0.835417 0.304067i
\(924\) −0.0843712 −0.00277561
\(925\) 0.540554 + 6.05870i 0.0177733 + 0.199209i
\(926\) 23.0087 0.756113
\(927\) 13.5433 + 4.92935i 0.444820 + 0.161901i
\(928\) −4.00712 + 1.45847i −0.131540 + 0.0478767i
\(929\) −31.6848 26.5867i −1.03955 0.872282i −0.0475893 0.998867i \(-0.515154\pi\)
−0.991956 + 0.126585i \(0.959598\pi\)
\(930\) −0.672575 + 3.81436i −0.0220546 + 0.125078i
\(931\) −59.3553 −1.94529
\(932\) −4.65133 + 26.3790i −0.152359 + 0.864072i
\(933\) 6.61160 + 11.4516i 0.216454 + 0.374910i
\(934\) 4.07210 3.41690i 0.133243 0.111804i
\(935\) −0.112172 + 0.194288i −0.00366843 + 0.00635391i
\(936\) 4.00061 + 6.92927i 0.130764 + 0.226490i
\(937\) −4.58543 1.66896i −0.149799 0.0545225i 0.266032 0.963964i \(-0.414287\pi\)
−0.415832 + 0.909442i \(0.636509\pi\)
\(938\) −1.82650 1.53261i −0.0596372 0.0500415i
\(939\) −4.25760 + 7.37438i −0.138941 + 0.240654i
\(940\) −0.0146795 0.0832516i −0.000478792 0.00271537i
\(941\) −0.115739 0.656389i −0.00377299 0.0213977i 0.982863 0.184337i \(-0.0590137\pi\)
−0.986636 + 0.162939i \(0.947903\pi\)
\(942\) −8.42874 + 7.07255i −0.274623 + 0.230436i
\(943\) 1.78945 0.651306i 0.0582724 0.0212094i
\(944\) 9.28489 3.37943i 0.302198 0.109991i
\(945\) 10.4132 8.73773i 0.338742 0.284238i
\(946\) −0.0307697 0.174504i −0.00100041 0.00567360i
\(947\) −7.32205 41.5254i −0.237935 1.34939i −0.836344 0.548205i \(-0.815312\pi\)
0.598410 0.801190i \(-0.295800\pi\)
\(948\) 1.03975 1.80090i 0.0337695 0.0584905i
\(949\) 18.7718 + 15.7514i 0.609358 + 0.511312i
\(950\) −3.55030 1.29220i −0.115187 0.0419246i
\(951\) −5.18342 8.97794i −0.168084 0.291130i
\(952\) −14.9673 + 25.9241i −0.485092 + 0.840205i
\(953\) −12.6506 + 10.6151i −0.409794 + 0.343858i −0.824265 0.566205i \(-0.808411\pi\)
0.414471 + 0.910063i \(0.363967\pi\)
\(954\) −17.2097 29.8081i −0.557185 0.965073i
\(955\) −2.09561 + 11.8848i −0.0678124 + 0.384583i
\(956\) 19.7381 0.638375
\(957\) −0.0131099 + 0.0743501i −0.000423784 + 0.00240340i
\(958\) −3.23820 2.71717i −0.104621 0.0877878i
\(959\) 33.4891 12.1890i 1.08142 0.393605i
\(960\) −0.465818 0.169544i −0.0150342 0.00547201i
\(961\) 30.0491 0.969327
\(962\) −10.1106 + 14.4923i −0.325978 + 0.467250i
\(963\) −12.5182 −0.403392
\(964\) −17.5991 6.40554i −0.566828 0.206309i
\(965\) 17.2993 6.29644i 0.556885 0.202690i
\(966\) 12.0168 + 10.0833i 0.386634 + 0.324425i
\(967\) −1.05533 + 5.98509i −0.0339372 + 0.192467i −0.997063 0.0765834i \(-0.975599\pi\)
0.963126 + 0.269051i \(0.0867100\pi\)
\(968\) 10.9987 0.353512
\(969\) 2.04288 11.5858i 0.0656268 0.372188i
\(970\) 2.46953 + 4.27736i 0.0792919 + 0.137338i
\(971\) 13.8627 11.6322i 0.444876 0.373295i −0.392654 0.919686i \(-0.628443\pi\)
0.837530 + 0.546391i \(0.183999\pi\)
\(972\) 5.97622 10.3511i 0.191687 0.332012i
\(973\) 19.5253 + 33.8188i 0.625951 + 1.08418i
\(974\) −10.6513 3.87676i −0.341290 0.124219i
\(975\) 1.10315 + 0.925654i 0.0353291 + 0.0296447i
\(976\) −4.84210 + 8.38676i −0.154992 + 0.268454i
\(977\) −1.61248 9.14482i −0.0515878 0.292569i 0.948089 0.318006i \(-0.103013\pi\)
−0.999676 + 0.0254374i \(0.991902\pi\)
\(978\) 0.112660 + 0.638926i 0.00360247 + 0.0204306i
\(979\) −0.314119 + 0.263578i −0.0100393 + 0.00842397i
\(980\) 14.7627 5.37319i 0.471578 0.171640i
\(981\) 31.9839 11.6412i 1.02117 0.371674i
\(982\) −10.8828 + 9.13178i −0.347285 + 0.291407i
\(983\) 5.13729 + 29.1350i 0.163854 + 0.929263i 0.950238 + 0.311525i \(0.100840\pi\)
−0.786384 + 0.617738i \(0.788049\pi\)
\(984\) 0.0246854 + 0.139998i 0.000786942 + 0.00446297i
\(985\) 0.898942 1.55701i 0.0286427 0.0496106i
\(986\) 20.5193 + 17.2178i 0.653469 + 0.548325i
\(987\) −0.187658 0.0683020i −0.00597323 0.00217408i
\(988\) −5.48782 9.50518i −0.174591 0.302400i
\(989\) −16.4727 + 28.5315i −0.523800 + 0.907249i
\(990\) 0.0753552 0.0632305i 0.00239495 0.00200960i
\(991\) 18.8755 + 32.6933i 0.599599 + 1.03854i 0.992880 + 0.119117i \(0.0380065\pi\)
−0.393281 + 0.919418i \(0.628660\pi\)
\(992\) −1.35678 + 7.69469i −0.0430779 + 0.244307i
\(993\) −17.3292 −0.549926
\(994\) −7.69393 + 43.6344i −0.244037 + 1.38400i
\(995\) 2.35404 + 1.97528i 0.0746282 + 0.0626205i
\(996\) −3.19762 + 1.16384i −0.101320 + 0.0368776i
\(997\) 18.3302 + 6.67165i 0.580524 + 0.211293i 0.615556 0.788093i \(-0.288931\pi\)
−0.0350328 + 0.999386i \(0.511154\pi\)
\(998\) −37.3897 −1.18355
\(999\) 17.2874 + 1.48254i 0.546950 + 0.0469056i
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 370.2.o.b.201.2 yes 18
37.7 even 9 inner 370.2.o.b.81.2 18
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
370.2.o.b.81.2 18 37.7 even 9 inner
370.2.o.b.201.2 yes 18 1.1 even 1 trivial