Properties

Label 260.2.bj.c.3.13
Level $260$
Weight $2$
Character 260.3
Analytic conductor $2.076$
Analytic rank $0$
Dimension $144$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [260,2,Mod(3,260)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(260, base_ring=CyclotomicField(12))
 
chi = DirichletCharacter(H, H._module([6, 9, 4]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("260.3");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 260.bj (of order \(12\), degree \(4\), 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: \(2.07611045255\)
Analytic rank: \(0\)
Dimension: \(144\)
Relative dimension: \(36\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 3.13
Character \(\chi\) \(=\) 260.3
Dual form 260.2.bj.c.87.13

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.832990 - 1.14286i) q^{2} +(-3.02314 - 0.810048i) q^{3} +(-0.612255 + 1.90398i) q^{4} +(2.23524 - 0.0606684i) q^{5} +(1.59247 + 4.12979i) q^{6} +(2.22941 - 0.597369i) q^{7} +(2.68599 - 0.886276i) q^{8} +(5.88512 + 3.39778i) q^{9} +O(q^{10})\) \(q+(-0.832990 - 1.14286i) q^{2} +(-3.02314 - 0.810048i) q^{3} +(-0.612255 + 1.90398i) q^{4} +(2.23524 - 0.0606684i) q^{5} +(1.59247 + 4.12979i) q^{6} +(2.22941 - 0.597369i) q^{7} +(2.68599 - 0.886276i) q^{8} +(5.88512 + 3.39778i) q^{9} +(-1.93127 - 2.50403i) q^{10} +(-0.106161 + 0.0612923i) q^{11} +(3.39325 - 5.26005i) q^{12} +(-3.42763 - 1.11863i) q^{13} +(-2.53978 - 2.05030i) q^{14} +(-6.80660 - 1.62725i) q^{15} +(-3.25029 - 2.33144i) q^{16} +(-1.22159 - 4.55904i) q^{17} +(-1.01907 - 9.55618i) q^{18} +(0.553650 - 0.958950i) q^{19} +(-1.25303 + 4.29301i) q^{20} -7.22372 q^{21} +(0.158480 + 0.0702716i) q^{22} +(5.95146 + 1.59469i) q^{23} +(-8.83804 + 0.503559i) q^{24} +(4.99264 - 0.271217i) q^{25} +(1.57674 + 4.84911i) q^{26} +(-8.39992 - 8.39992i) q^{27} +(-0.227589 + 4.61050i) q^{28} +(4.80923 - 2.77661i) q^{29} +(3.81012 + 9.13447i) q^{30} -6.59869i q^{31} +(0.0429437 + 5.65669i) q^{32} +(0.370590 - 0.0992993i) q^{33} +(-4.19277 + 5.19374i) q^{34} +(4.94704 - 1.47052i) q^{35} +(-10.0725 + 9.12486i) q^{36} +(-3.92525 - 1.05177i) q^{37} +(-1.55713 + 0.166052i) q^{38} +(9.45607 + 6.15833i) q^{39} +(5.95007 - 2.14400i) q^{40} +(-3.05994 - 5.29997i) q^{41} +(6.01728 + 8.25569i) q^{42} +(-2.55565 - 9.53781i) q^{43} +(-0.0517015 - 0.239656i) q^{44} +(13.3608 + 7.23782i) q^{45} +(-3.13500 - 8.13005i) q^{46} +(3.41838 + 3.41838i) q^{47} +(7.93749 + 9.68117i) q^{48} +(-1.44876 + 0.836441i) q^{49} +(-4.46878 - 5.47996i) q^{50} +14.7722i q^{51} +(4.22844 - 5.84126i) q^{52} +(4.68521 + 4.68521i) q^{53} +(-2.60288 + 16.5970i) q^{54} +(-0.233578 + 0.143444i) q^{55} +(5.45873 - 3.58039i) q^{56} +(-2.45056 + 2.45056i) q^{57} +(-7.17932 - 3.18339i) q^{58} +(-3.69271 + 6.39597i) q^{59} +(7.26562 - 11.9634i) q^{60} +(1.63566 - 2.83304i) q^{61} +(-7.54138 + 5.49665i) q^{62} +(15.1501 + 4.05945i) q^{63} +(6.42903 - 4.76105i) q^{64} +(-7.72946 - 2.29247i) q^{65} +(-0.422183 - 0.340817i) q^{66} +(0.276451 - 1.03173i) q^{67} +(9.42825 + 0.465410i) q^{68} +(-16.7003 - 9.64194i) q^{69} +(-5.80143 - 4.42884i) q^{70} +(5.76408 + 3.32789i) q^{71} +(18.8187 + 3.91054i) q^{72} +(0.0577475 + 0.0577475i) q^{73} +(2.06767 + 5.36212i) q^{74} +(-15.3131 - 3.22435i) q^{75} +(1.48685 + 1.64126i) q^{76} +(-0.200063 + 0.200063i) q^{77} +(-0.838708 - 15.9368i) q^{78} +7.90960 q^{79} +(-7.40663 - 5.01416i) q^{80} +(8.39646 + 14.5431i) q^{81} +(-3.50822 + 7.91190i) q^{82} +(-5.58770 + 5.58770i) q^{83} +(4.42276 - 13.7538i) q^{84} +(-3.00715 - 10.1165i) q^{85} +(-8.77155 + 10.8656i) q^{86} +(-16.7882 + 4.49838i) q^{87} +(-0.230826 + 0.258718i) q^{88} +(13.4031 - 7.73831i) q^{89} +(-2.85762 - 21.2986i) q^{90} +(-8.30983 - 0.446329i) q^{91} +(-6.68007 + 10.3551i) q^{92} +(-5.34526 + 19.9488i) q^{93} +(1.05925 - 6.75420i) q^{94} +(1.17937 - 2.17708i) q^{95} +(4.45237 - 17.1358i) q^{96} +(0.517499 + 1.93133i) q^{97} +(2.16274 + 0.958980i) q^{98} -0.833030 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144 q - 6 q^{2} - 24 q^{5} - 4 q^{6} - 24 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 144 q - 6 q^{2} - 24 q^{5} - 4 q^{6} - 24 q^{8} - 16 q^{10} + 20 q^{12} - 12 q^{13} - 28 q^{16} - 4 q^{18} + 30 q^{20} - 32 q^{21} - 28 q^{22} - 24 q^{25} - 12 q^{26} + 14 q^{28} - 4 q^{30} + 4 q^{32} - 28 q^{33} + 4 q^{36} + 20 q^{40} + 24 q^{41} - 56 q^{42} - 4 q^{46} + 12 q^{48} + 20 q^{50} - 2 q^{52} + 24 q^{53} - 20 q^{56} - 24 q^{57} - 42 q^{58} + 88 q^{60} - 32 q^{61} - 128 q^{66} - 32 q^{68} + 108 q^{70} + 2 q^{72} - 8 q^{73} + 60 q^{76} - 72 q^{77} - 120 q^{78} - 64 q^{80} - 32 q^{81} - 42 q^{82} - 48 q^{85} - 24 q^{86} - 42 q^{88} - 56 q^{90} - 84 q^{92} + 8 q^{93} + 160 q^{96} + 68 q^{97} + 98 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).

\(n\) \(41\) \(131\) \(157\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(-1\) \(e\left(\frac{3}{4}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.832990 1.14286i −0.589013 0.808124i
\(3\) −3.02314 0.810048i −1.74541 0.467681i −0.761774 0.647843i \(-0.775671\pi\)
−0.983637 + 0.180162i \(0.942338\pi\)
\(4\) −0.612255 + 1.90398i −0.306128 + 0.951990i
\(5\) 2.23524 0.0606684i 0.999632 0.0271317i
\(6\) 1.59247 + 4.12979i 0.650125 + 1.68598i
\(7\) 2.22941 0.597369i 0.842638 0.225784i 0.188418 0.982089i \(-0.439664\pi\)
0.654219 + 0.756305i \(0.272997\pi\)
\(8\) 2.68599 0.886276i 0.949639 0.313346i
\(9\) 5.88512 + 3.39778i 1.96171 + 1.13259i
\(10\) −1.93127 2.50403i −0.610722 0.791845i
\(11\) −0.106161 + 0.0612923i −0.0320088 + 0.0184803i −0.515919 0.856637i \(-0.672549\pi\)
0.483910 + 0.875118i \(0.339216\pi\)
\(12\) 3.39325 5.26005i 0.979547 1.51844i
\(13\) −3.42763 1.11863i −0.950654 0.310253i
\(14\) −2.53978 2.05030i −0.678786 0.547966i
\(15\) −6.80660 1.62725i −1.75746 0.420153i
\(16\) −3.25029 2.33144i −0.812572 0.582861i
\(17\) −1.22159 4.55904i −0.296279 1.10573i −0.940196 0.340634i \(-0.889358\pi\)
0.643916 0.765096i \(-0.277308\pi\)
\(18\) −1.01907 9.55618i −0.240196 2.25241i
\(19\) 0.553650 0.958950i 0.127016 0.219998i −0.795503 0.605949i \(-0.792793\pi\)
0.922519 + 0.385951i \(0.126127\pi\)
\(20\) −1.25303 + 4.29301i −0.280186 + 0.959946i
\(21\) −7.22372 −1.57634
\(22\) 0.158480 + 0.0702716i 0.0337880 + 0.0149820i
\(23\) 5.95146 + 1.59469i 1.24097 + 0.332516i 0.818840 0.574021i \(-0.194617\pi\)
0.422126 + 0.906537i \(0.361284\pi\)
\(24\) −8.83804 + 0.503559i −1.80406 + 0.102789i
\(25\) 4.99264 0.271217i 0.998528 0.0542435i
\(26\) 1.57674 + 4.84911i 0.309225 + 0.950989i
\(27\) −8.39992 8.39992i −1.61656 1.61656i
\(28\) −0.227589 + 4.61050i −0.0430103 + 0.871302i
\(29\) 4.80923 2.77661i 0.893052 0.515604i 0.0181126 0.999836i \(-0.494234\pi\)
0.874940 + 0.484232i \(0.160901\pi\)
\(30\) 3.81012 + 9.13447i 0.695629 + 1.66772i
\(31\) 6.59869i 1.18516i −0.805512 0.592580i \(-0.798109\pi\)
0.805512 0.592580i \(-0.201891\pi\)
\(32\) 0.0429437 + 5.65669i 0.00759145 + 0.999971i
\(33\) 0.370590 0.0992993i 0.0645115 0.0172858i
\(34\) −4.19277 + 5.19374i −0.719054 + 0.890720i
\(35\) 4.94704 1.47052i 0.836202 0.248563i
\(36\) −10.0725 + 9.12486i −1.67875 + 1.52081i
\(37\) −3.92525 1.05177i −0.645307 0.172909i −0.0787006 0.996898i \(-0.525077\pi\)
−0.566606 + 0.823989i \(0.691744\pi\)
\(38\) −1.55713 + 0.166052i −0.252600 + 0.0269371i
\(39\) 9.45607 + 6.15833i 1.51418 + 0.986122i
\(40\) 5.95007 2.14400i 0.940788 0.338996i
\(41\) −3.05994 5.29997i −0.477882 0.827716i 0.521797 0.853070i \(-0.325262\pi\)
−0.999679 + 0.0253541i \(0.991929\pi\)
\(42\) 6.01728 + 8.25569i 0.928487 + 1.27388i
\(43\) −2.55565 9.53781i −0.389733 1.45450i −0.830569 0.556915i \(-0.811985\pi\)
0.440837 0.897587i \(-0.354682\pi\)
\(44\) −0.0517015 0.239656i −0.00779429 0.0361294i
\(45\) 13.3608 + 7.23782i 1.99172 + 1.07895i
\(46\) −3.13500 8.13005i −0.462231 1.19871i
\(47\) 3.41838 + 3.41838i 0.498622 + 0.498622i 0.911009 0.412387i \(-0.135305\pi\)
−0.412387 + 0.911009i \(0.635305\pi\)
\(48\) 7.93749 + 9.68117i 1.14568 + 1.39736i
\(49\) −1.44876 + 0.836441i −0.206965 + 0.119492i
\(50\) −4.46878 5.47996i −0.631981 0.774984i
\(51\) 14.7722i 2.06852i
\(52\) 4.22844 5.84126i 0.586379 0.810037i
\(53\) 4.68521 + 4.68521i 0.643563 + 0.643563i 0.951430 0.307866i \(-0.0996150\pi\)
−0.307866 + 0.951430i \(0.599615\pi\)
\(54\) −2.60288 + 16.5970i −0.354207 + 2.25856i
\(55\) −0.233578 + 0.143444i −0.0314956 + 0.0193420i
\(56\) 5.45873 3.58039i 0.729453 0.478450i
\(57\) −2.45056 + 2.45056i −0.324584 + 0.324584i
\(58\) −7.17932 3.18339i −0.942691 0.417999i
\(59\) −3.69271 + 6.39597i −0.480750 + 0.832684i −0.999756 0.0220868i \(-0.992969\pi\)
0.519006 + 0.854771i \(0.326302\pi\)
\(60\) 7.26562 11.9634i 0.937988 1.54446i
\(61\) 1.63566 2.83304i 0.209424 0.362733i −0.742109 0.670279i \(-0.766174\pi\)
0.951533 + 0.307546i \(0.0995077\pi\)
\(62\) −7.54138 + 5.49665i −0.957756 + 0.698075i
\(63\) 15.1501 + 4.05945i 1.90873 + 0.511443i
\(64\) 6.42903 4.76105i 0.803629 0.595131i
\(65\) −7.72946 2.29247i −0.958722 0.284346i
\(66\) −0.422183 0.340817i −0.0519671 0.0419517i
\(67\) 0.276451 1.03173i 0.0337739 0.126046i −0.946981 0.321291i \(-0.895883\pi\)
0.980755 + 0.195245i \(0.0625501\pi\)
\(68\) 9.42825 + 0.465410i 1.14334 + 0.0564392i
\(69\) −16.7003 9.64194i −2.01048 1.16075i
\(70\) −5.80143 4.42884i −0.693403 0.529347i
\(71\) 5.76408 + 3.32789i 0.684070 + 0.394948i 0.801387 0.598147i \(-0.204096\pi\)
−0.117317 + 0.993095i \(0.537429\pi\)
\(72\) 18.8187 + 3.91054i 2.21781 + 0.460861i
\(73\) 0.0577475 + 0.0577475i 0.00675883 + 0.00675883i 0.710478 0.703719i \(-0.248479\pi\)
−0.703719 + 0.710478i \(0.748479\pi\)
\(74\) 2.06767 + 5.36212i 0.240362 + 0.623333i
\(75\) −15.3131 3.22435i −1.76821 0.372316i
\(76\) 1.48685 + 1.64126i 0.170553 + 0.188266i
\(77\) −0.200063 + 0.200063i −0.0227993 + 0.0227993i
\(78\) −0.838708 15.9368i −0.0949650 1.80449i
\(79\) 7.90960 0.889899 0.444950 0.895556i \(-0.353222\pi\)
0.444950 + 0.895556i \(0.353222\pi\)
\(80\) −7.40663 5.01416i −0.828087 0.560600i
\(81\) 8.39646 + 14.5431i 0.932940 + 1.61590i
\(82\) −3.50822 + 7.91190i −0.387418 + 0.873723i
\(83\) −5.58770 + 5.58770i −0.613330 + 0.613330i −0.943812 0.330482i \(-0.892789\pi\)
0.330482 + 0.943812i \(0.392789\pi\)
\(84\) 4.42276 13.7538i 0.482562 1.50066i
\(85\) −3.00715 10.1165i −0.326171 1.09728i
\(86\) −8.77155 + 10.8656i −0.945860 + 1.17167i
\(87\) −16.7882 + 4.49838i −1.79988 + 0.482277i
\(88\) −0.230826 + 0.258718i −0.0246061 + 0.0275795i
\(89\) 13.4031 7.73831i 1.42073 0.820259i 0.424370 0.905489i \(-0.360496\pi\)
0.996361 + 0.0852296i \(0.0271624\pi\)
\(90\) −2.85762 21.2986i −0.301220 2.24507i
\(91\) −8.30983 0.446329i −0.871107 0.0467880i
\(92\) −6.68007 + 10.3551i −0.696446 + 1.07960i
\(93\) −5.34526 + 19.9488i −0.554277 + 2.06859i
\(94\) 1.05925 6.75420i 0.109253 0.696642i
\(95\) 1.17937 2.17708i 0.121000 0.223363i
\(96\) 4.45237 17.1358i 0.454418 1.74891i
\(97\) 0.517499 + 1.93133i 0.0525441 + 0.196097i 0.987209 0.159434i \(-0.0509668\pi\)
−0.934665 + 0.355531i \(0.884300\pi\)
\(98\) 2.16274 + 0.958980i 0.218469 + 0.0968716i
\(99\) −0.833030 −0.0837227
\(100\) −2.54038 + 9.67194i −0.254038 + 0.967194i
\(101\) 6.00910 + 10.4081i 0.597928 + 1.03564i 0.993127 + 0.117045i \(0.0373423\pi\)
−0.395199 + 0.918596i \(0.629324\pi\)
\(102\) 16.8825 12.3051i 1.67162 1.21838i
\(103\) −3.11432 + 3.11432i −0.306863 + 0.306863i −0.843691 0.536829i \(-0.819622\pi\)
0.536829 + 0.843691i \(0.319622\pi\)
\(104\) −10.1980 + 0.0331988i −0.999995 + 0.00325541i
\(105\) −16.1468 + 0.438251i −1.57576 + 0.0427689i
\(106\) 1.45180 9.25727i 0.141012 0.899146i
\(107\) 1.64517 6.13987i 0.159045 0.593564i −0.839680 0.543081i \(-0.817257\pi\)
0.998725 0.0504823i \(-0.0160758\pi\)
\(108\) 21.1362 10.8504i 2.03383 1.04408i
\(109\) 4.44145i 0.425414i −0.977116 0.212707i \(-0.931772\pi\)
0.977116 0.212707i \(-0.0682280\pi\)
\(110\) 0.358504 + 0.147460i 0.0341820 + 0.0140597i
\(111\) 11.0146 + 6.35928i 1.04546 + 0.603596i
\(112\) −8.63895 3.25613i −0.816304 0.307675i
\(113\) −11.4994 + 3.08126i −1.08177 + 0.289860i −0.755322 0.655353i \(-0.772520\pi\)
−0.326452 + 0.945214i \(0.605853\pi\)
\(114\) 4.84193 + 0.759352i 0.453488 + 0.0711199i
\(115\) 13.3997 + 3.20346i 1.24953 + 0.298724i
\(116\) 2.34214 + 10.8567i 0.217462 + 1.00802i
\(117\) −16.3712 18.2296i −1.51352 1.68533i
\(118\) 10.3857 1.10752i 0.956080 0.101956i
\(119\) −5.44686 9.43423i −0.499313 0.864835i
\(120\) −19.7246 + 1.66177i −1.80060 + 0.151698i
\(121\) −5.49249 + 9.51327i −0.499317 + 0.864842i
\(122\) −4.60025 + 0.490569i −0.416487 + 0.0444140i
\(123\) 4.95739 + 18.5012i 0.446993 + 1.66820i
\(124\) 12.5638 + 4.04008i 1.12826 + 0.362810i
\(125\) 11.1433 0.909133i 0.996688 0.0813153i
\(126\) −7.98048 20.6959i −0.710958 1.84374i
\(127\) −4.40685 + 16.4466i −0.391045 + 1.45940i 0.437368 + 0.899283i \(0.355911\pi\)
−0.828413 + 0.560117i \(0.810756\pi\)
\(128\) −10.7965 3.38157i −0.954287 0.298892i
\(129\) 30.9043i 2.72098i
\(130\) 3.81860 + 10.7433i 0.334913 + 0.942249i
\(131\) 1.82811i 0.159723i 0.996806 + 0.0798615i \(0.0254478\pi\)
−0.996806 + 0.0798615i \(0.974552\pi\)
\(132\) −0.0378317 + 0.766393i −0.00329283 + 0.0667060i
\(133\) 0.661466 2.46863i 0.0573564 0.214057i
\(134\) −1.40940 + 0.543476i −0.121754 + 0.0469492i
\(135\) −19.2855 18.2663i −1.65983 1.57211i
\(136\) −7.32174 11.1629i −0.627834 0.957207i
\(137\) 2.22636 + 8.30888i 0.190211 + 0.709876i 0.993455 + 0.114226i \(0.0364387\pi\)
−0.803244 + 0.595650i \(0.796895\pi\)
\(138\) 2.89183 + 27.1178i 0.246169 + 2.30842i
\(139\) 6.59745 11.4271i 0.559589 0.969236i −0.437942 0.899003i \(-0.644293\pi\)
0.997531 0.0702326i \(-0.0223741\pi\)
\(140\) −0.229006 + 10.3194i −0.0193546 + 0.872148i
\(141\) −7.56518 13.1033i −0.637103 1.10350i
\(142\) −0.998107 9.35963i −0.0837593 0.785443i
\(143\) 0.432445 0.0913319i 0.0361629 0.00763756i
\(144\) −11.2066 24.7646i −0.933884 2.06372i
\(145\) 10.5814 6.49818i 0.878734 0.539644i
\(146\) 0.0178942 0.114100i 0.00148093 0.00944301i
\(147\) 5.05736 1.35511i 0.417124 0.111768i
\(148\) 4.40580 6.82964i 0.362154 0.561393i
\(149\) −2.82054 1.62844i −0.231068 0.133407i 0.379997 0.924988i \(-0.375925\pi\)
−0.611064 + 0.791581i \(0.709258\pi\)
\(150\) 9.07072 + 20.1866i 0.740621 + 1.64823i
\(151\) 19.0300i 1.54864i −0.632795 0.774319i \(-0.718093\pi\)
0.632795 0.774319i \(-0.281907\pi\)
\(152\) 0.637202 3.06641i 0.0516839 0.248719i
\(153\) 8.30139 30.9812i 0.671128 2.50468i
\(154\) 0.395294 + 0.0619934i 0.0318537 + 0.00499557i
\(155\) −0.400332 14.7497i −0.0321554 1.18472i
\(156\) −17.5149 + 14.2337i −1.40231 + 1.13961i
\(157\) 0.405099 0.405099i 0.0323304 0.0323304i −0.690757 0.723087i \(-0.742722\pi\)
0.723087 + 0.690757i \(0.242722\pi\)
\(158\) −6.58861 9.03956i −0.524162 0.719148i
\(159\) −10.3688 17.9593i −0.822300 1.42427i
\(160\) 0.439172 + 12.6415i 0.0347196 + 0.999397i
\(161\) 14.2209 1.12076
\(162\) 9.62654 21.7102i 0.756333 1.70572i
\(163\) 1.80690 + 6.74344i 0.141527 + 0.528187i 0.999885 + 0.0151360i \(0.00481811\pi\)
−0.858358 + 0.513051i \(0.828515\pi\)
\(164\) 11.9645 2.58113i 0.934270 0.201552i
\(165\) 0.822335 0.244441i 0.0640187 0.0190297i
\(166\) 11.0405 + 1.73146i 0.856905 + 0.134387i
\(167\) −0.215919 + 0.805821i −0.0167083 + 0.0623563i −0.973777 0.227506i \(-0.926943\pi\)
0.957068 + 0.289862i \(0.0936095\pi\)
\(168\) −19.4028 + 6.40220i −1.49696 + 0.493941i
\(169\) 10.4973 + 7.66852i 0.807487 + 0.589886i
\(170\) −9.05677 + 11.8637i −0.694623 + 0.909901i
\(171\) 6.51660 3.76236i 0.498337 0.287715i
\(172\) 19.7245 + 0.973668i 1.50398 + 0.0742415i
\(173\) −12.8807 + 3.45137i −0.979302 + 0.262403i −0.712751 0.701418i \(-0.752551\pi\)
−0.266551 + 0.963821i \(0.585884\pi\)
\(174\) 19.1254 + 15.4394i 1.44989 + 1.17046i
\(175\) 10.9686 3.58710i 0.829150 0.271159i
\(176\) 0.487954 + 0.0482917i 0.0367809 + 0.00364013i
\(177\) 16.3446 16.3446i 1.22854 1.22854i
\(178\) −20.0085 8.87198i −1.49970 0.664983i
\(179\) 2.27366 + 3.93809i 0.169941 + 0.294346i 0.938399 0.345554i \(-0.112309\pi\)
−0.768458 + 0.639900i \(0.778976\pi\)
\(180\) −21.9609 + 21.0074i −1.63687 + 1.56580i
\(181\) −18.0124 −1.33885 −0.669426 0.742879i \(-0.733460\pi\)
−0.669426 + 0.742879i \(0.733460\pi\)
\(182\) 6.41192 + 9.86876i 0.475283 + 0.731521i
\(183\) −7.23972 + 7.23972i −0.535175 + 0.535175i
\(184\) 17.3989 0.991324i 1.28266 0.0730814i
\(185\) −8.83770 2.11282i −0.649760 0.155337i
\(186\) 27.2512 10.5083i 1.99815 0.770502i
\(187\) 0.409120 + 0.409120i 0.0299178 + 0.0299178i
\(188\) −8.60144 + 4.41561i −0.627325 + 0.322041i
\(189\) −23.7447 13.7090i −1.72717 0.997184i
\(190\) −3.47049 + 0.465635i −0.251776 + 0.0337807i
\(191\) −0.183357 0.105861i −0.0132672 0.00765984i 0.493352 0.869830i \(-0.335772\pi\)
−0.506619 + 0.862170i \(0.669105\pi\)
\(192\) −23.2925 + 9.18549i −1.68099 + 0.662905i
\(193\) −2.57071 + 9.59403i −0.185044 + 0.690593i 0.809577 + 0.587013i \(0.199696\pi\)
−0.994621 + 0.103580i \(0.966970\pi\)
\(194\) 1.77617 2.20021i 0.127522 0.157966i
\(195\) 21.5102 + 13.1917i 1.54038 + 0.944676i
\(196\) −0.705558 3.27052i −0.0503970 0.233609i
\(197\) 15.4232 + 4.13263i 1.09886 + 0.294438i 0.762299 0.647225i \(-0.224070\pi\)
0.336558 + 0.941663i \(0.390737\pi\)
\(198\) 0.693906 + 0.952036i 0.0493137 + 0.0676583i
\(199\) −10.4269 + 18.0599i −0.739144 + 1.28023i 0.213737 + 0.976891i \(0.431436\pi\)
−0.952881 + 0.303344i \(0.901897\pi\)
\(200\) 13.1698 5.15334i 0.931244 0.364396i
\(201\) −1.67150 + 2.89513i −0.117899 + 0.204207i
\(202\) 6.88943 15.5374i 0.484739 1.09321i
\(203\) 9.06309 9.06309i 0.636104 0.636104i
\(204\) −28.1259 9.04434i −1.96921 0.633230i
\(205\) −7.16125 11.6611i −0.500163 0.814445i
\(206\) 6.15342 + 0.965032i 0.428729 + 0.0672369i
\(207\) 29.6067 + 29.6067i 2.05781 + 2.05781i
\(208\) 8.53276 + 11.6272i 0.591641 + 0.806202i
\(209\) 0.135738i 0.00938918i
\(210\) 13.9510 + 18.0884i 0.962708 + 1.24822i
\(211\) −11.8019 + 6.81385i −0.812478 + 0.469085i −0.847816 0.530291i \(-0.822083\pi\)
0.0353375 + 0.999375i \(0.488749\pi\)
\(212\) −11.7891 + 6.05201i −0.809679 + 0.415654i
\(213\) −14.7299 14.7299i −1.00927 1.00927i
\(214\) −8.38742 + 3.23425i −0.573352 + 0.221089i
\(215\) −6.29114 21.1643i −0.429052 1.44339i
\(216\) −30.0067 15.1174i −2.04170 1.02861i
\(217\) −3.94185 14.7112i −0.267590 0.998661i
\(218\) −5.07596 + 3.69969i −0.343787 + 0.250574i
\(219\) −0.127800 0.221357i −0.00863596 0.0149579i
\(220\) −0.130105 0.532552i −0.00877168 0.0359047i
\(221\) −0.912722 + 16.9932i −0.0613963 + 1.14309i
\(222\) −1.90728 17.8853i −0.128009 1.20039i
\(223\) −3.60348 0.965549i −0.241307 0.0646579i 0.136139 0.990690i \(-0.456531\pi\)
−0.377445 + 0.926032i \(0.623197\pi\)
\(224\) 3.47487 + 12.5854i 0.232174 + 0.840899i
\(225\) 30.3038 + 15.3677i 2.02026 + 1.02452i
\(226\) 13.1003 + 10.5756i 0.871422 + 0.703476i
\(227\) 9.33919 2.50243i 0.619864 0.166092i 0.0647979 0.997898i \(-0.479360\pi\)
0.555066 + 0.831806i \(0.312693\pi\)
\(228\) −3.16545 6.16618i −0.209637 0.408365i
\(229\) 28.3918i 1.87618i 0.346392 + 0.938090i \(0.387407\pi\)
−0.346392 + 0.938090i \(0.612593\pi\)
\(230\) −7.50074 17.9824i −0.494584 1.18573i
\(231\) 0.766879 0.442758i 0.0504569 0.0291313i
\(232\) 10.4567 11.7202i 0.686515 0.769472i
\(233\) 14.0301 + 14.0301i 0.919144 + 0.919144i 0.996967 0.0778228i \(-0.0247969\pi\)
−0.0778228 + 0.996967i \(0.524797\pi\)
\(234\) −7.19686 + 33.8950i −0.470474 + 2.21579i
\(235\) 7.84830 + 7.43352i 0.511966 + 0.484910i
\(236\) −9.91692 10.9468i −0.645536 0.712577i
\(237\) −23.9118 6.40715i −1.55324 0.416189i
\(238\) −6.24482 + 14.0836i −0.404792 + 0.912905i
\(239\) −24.1885 −1.56463 −0.782313 0.622886i \(-0.785960\pi\)
−0.782313 + 0.622886i \(0.785960\pi\)
\(240\) 18.3296 + 21.1582i 1.18317 + 1.36576i
\(241\) 0.656375 1.13688i 0.0422808 0.0732326i −0.844111 0.536169i \(-0.819871\pi\)
0.886391 + 0.462937i \(0.153204\pi\)
\(242\) 15.4475 1.64732i 0.993004 0.105893i
\(243\) −4.37932 16.3438i −0.280933 1.04846i
\(244\) 4.39261 + 4.84880i 0.281208 + 0.310413i
\(245\) −3.18758 + 1.95754i −0.203647 + 0.125063i
\(246\) 17.0149 21.0770i 1.08483 1.34382i
\(247\) −2.97042 + 2.66760i −0.189003 + 0.169735i
\(248\) −5.84826 17.7240i −0.371365 1.12547i
\(249\) 21.4187 12.3661i 1.35736 0.783669i
\(250\) −10.3213 11.9779i −0.652775 0.757552i
\(251\) 6.29938 + 3.63695i 0.397613 + 0.229562i 0.685454 0.728116i \(-0.259604\pi\)
−0.287840 + 0.957678i \(0.592937\pi\)
\(252\) −17.0048 + 26.3600i −1.07120 + 1.66053i
\(253\) −0.729557 + 0.195484i −0.0458669 + 0.0122900i
\(254\) 22.4670 8.66344i 1.40971 0.543593i
\(255\) 0.896204 + 33.0194i 0.0561225 + 2.06776i
\(256\) 5.12873 + 15.1557i 0.320546 + 0.947233i
\(257\) 23.4858 + 6.29299i 1.46500 + 0.392546i 0.901214 0.433373i \(-0.142677\pi\)
0.563788 + 0.825920i \(0.309344\pi\)
\(258\) 35.3193 25.7430i 2.19888 1.60269i
\(259\) −9.37928 −0.582800
\(260\) 9.09722 13.3132i 0.564185 0.825648i
\(261\) 37.7372 2.33588
\(262\) 2.08928 1.52280i 0.129076 0.0940789i
\(263\) 9.60768 + 2.57437i 0.592435 + 0.158742i 0.542566 0.840013i \(-0.317453\pi\)
0.0498690 + 0.998756i \(0.484120\pi\)
\(264\) 0.907393 0.595162i 0.0558462 0.0366297i
\(265\) 10.7568 + 10.1884i 0.660787 + 0.625865i
\(266\) −3.37229 + 1.30038i −0.206768 + 0.0797313i
\(267\) −46.7880 + 12.5368i −2.86338 + 0.767240i
\(268\) 1.79514 + 1.15804i 0.109655 + 0.0707386i
\(269\) 1.95971 + 1.13144i 0.119486 + 0.0689851i 0.558552 0.829470i \(-0.311357\pi\)
−0.439066 + 0.898455i \(0.644691\pi\)
\(270\) −4.81115 + 37.2562i −0.292798 + 2.26734i
\(271\) −6.93055 + 4.00135i −0.421001 + 0.243065i −0.695505 0.718521i \(-0.744819\pi\)
0.274505 + 0.961586i \(0.411486\pi\)
\(272\) −6.65863 + 17.6663i −0.403739 + 1.07117i
\(273\) 24.7602 + 8.08068i 1.49856 + 0.489065i
\(274\) 7.64135 9.46563i 0.461631 0.571840i
\(275\) −0.513401 + 0.334803i −0.0309593 + 0.0201894i
\(276\) 28.5829 25.8938i 1.72049 1.55862i
\(277\) 0.757420 + 2.82673i 0.0455090 + 0.169842i 0.984940 0.172896i \(-0.0553124\pi\)
−0.939431 + 0.342738i \(0.888646\pi\)
\(278\) −18.5552 + 1.97872i −1.11287 + 0.118676i
\(279\) 22.4209 38.8341i 1.34230 2.32494i
\(280\) 11.9844 8.33423i 0.716204 0.498066i
\(281\) −20.0287 −1.19481 −0.597407 0.801938i \(-0.703802\pi\)
−0.597407 + 0.801938i \(0.703802\pi\)
\(282\) −8.67349 + 19.5608i −0.516499 + 1.16483i
\(283\) −15.1634 4.06302i −0.901371 0.241522i −0.221766 0.975100i \(-0.571182\pi\)
−0.679605 + 0.733578i \(0.737849\pi\)
\(284\) −9.86533 + 8.93717i −0.585400 + 0.530324i
\(285\) −5.32892 + 5.62627i −0.315658 + 0.333271i
\(286\) −0.464602 0.418146i −0.0274725 0.0247255i
\(287\) −9.98789 9.98789i −0.589566 0.589566i
\(288\) −18.9675 + 33.4362i −1.11767 + 1.97025i
\(289\) −4.57014 + 2.63857i −0.268832 + 0.155210i
\(290\) −16.2407 6.68009i −0.953685 0.392268i
\(291\) 6.25789i 0.366844i
\(292\) −0.145306 + 0.0745939i −0.00850341 + 0.00436528i
\(293\) 10.3383 2.77014i 0.603969 0.161833i 0.0561395 0.998423i \(-0.482121\pi\)
0.547830 + 0.836590i \(0.315454\pi\)
\(294\) −5.76143 4.65105i −0.336014 0.271255i
\(295\) −7.86609 + 14.5206i −0.457981 + 0.845421i
\(296\) −11.4753 + 0.653821i −0.666989 + 0.0380026i
\(297\) 1.40660 + 0.376896i 0.0816190 + 0.0218697i
\(298\) 0.488404 + 4.57995i 0.0282925 + 0.265310i
\(299\) −18.6156 12.1235i −1.07657 0.701121i
\(300\) 15.5147 27.1818i 0.895739 1.56934i
\(301\) −11.3952 19.7370i −0.656807 1.13762i
\(302\) −21.7486 + 15.8518i −1.25149 + 0.912168i
\(303\) −9.73531 36.3327i −0.559279 2.08726i
\(304\) −4.03526 + 1.82606i −0.231438 + 0.104732i
\(305\) 3.48422 6.43177i 0.199506 0.368282i
\(306\) −42.3222 + 16.3197i −2.41940 + 0.932937i
\(307\) −0.413685 0.413685i −0.0236103 0.0236103i 0.695203 0.718813i \(-0.255314\pi\)
−0.718813 + 0.695203i \(0.755314\pi\)
\(308\) −0.258427 0.503406i −0.0147252 0.0286842i
\(309\) 11.9378 6.89227i 0.679116 0.392088i
\(310\) −16.5234 + 12.7439i −0.938463 + 0.723803i
\(311\) 25.9366i 1.47073i −0.677671 0.735365i \(-0.737011\pi\)
0.677671 0.735365i \(-0.262989\pi\)
\(312\) 30.8568 + 8.16049i 1.74692 + 0.461997i
\(313\) −3.33337 3.33337i −0.188413 0.188413i 0.606597 0.795010i \(-0.292534\pi\)
−0.795010 + 0.606597i \(0.792534\pi\)
\(314\) −0.800414 0.125528i −0.0451700 0.00708394i
\(315\) 34.1104 + 8.15474i 1.92190 + 0.459467i
\(316\) −4.84269 + 15.0597i −0.272423 + 0.847175i
\(317\) 10.3812 10.3812i 0.583067 0.583067i −0.352678 0.935745i \(-0.614729\pi\)
0.935745 + 0.352678i \(0.114729\pi\)
\(318\) −11.8878 + 26.8100i −0.666637 + 1.50343i
\(319\) −0.340370 + 0.589537i −0.0190570 + 0.0330078i
\(320\) 14.0816 11.0321i 0.787186 0.616716i
\(321\) −9.94718 + 17.2290i −0.555197 + 0.961630i
\(322\) −11.8458 16.2525i −0.660143 0.905714i
\(323\) −5.04823 1.35267i −0.280891 0.0752645i
\(324\) −32.8305 + 7.08261i −1.82392 + 0.393478i
\(325\) −17.4163 4.65529i −0.966084 0.258229i
\(326\) 6.20167 7.68225i 0.343479 0.425480i
\(327\) −3.59779 + 13.4271i −0.198958 + 0.742522i
\(328\) −12.9162 11.5237i −0.713177 0.636289i
\(329\) 9.66300 + 5.57893i 0.532738 + 0.307577i
\(330\) −0.964359 0.736196i −0.0530862 0.0405263i
\(331\) −0.333177 0.192360i −0.0183131 0.0105731i 0.490816 0.871264i \(-0.336699\pi\)
−0.509129 + 0.860690i \(0.670032\pi\)
\(332\) −7.21778 14.0600i −0.396127 0.771641i
\(333\) −19.5269 19.5269i −1.07007 1.07007i
\(334\) 1.10080 0.424475i 0.0602330 0.0232263i
\(335\) 0.555343 2.32294i 0.0303416 0.126916i
\(336\) 23.4792 + 16.8417i 1.28089 + 0.918790i
\(337\) −14.5393 + 14.5393i −0.792007 + 0.792007i −0.981820 0.189813i \(-0.939212\pi\)
0.189813 + 0.981820i \(0.439212\pi\)
\(338\) 0.0198682 18.3848i 0.00108069 0.999999i
\(339\) 37.2603 2.02370
\(340\) 21.1027 + 0.468308i 1.14445 + 0.0253976i
\(341\) 0.404449 + 0.700526i 0.0219021 + 0.0379356i
\(342\) −9.72811 4.31355i −0.526036 0.233250i
\(343\) −14.1545 + 14.1545i −0.764271 + 0.764271i
\(344\) −15.3176 23.3534i −0.825868 1.25913i
\(345\) −37.9143 20.5389i −2.04124 1.10578i
\(346\) 14.6739 + 11.8459i 0.788876 + 0.636838i
\(347\) 9.82952 2.63381i 0.527676 0.141390i 0.0148613 0.999890i \(-0.495269\pi\)
0.512815 + 0.858499i \(0.328603\pi\)
\(348\) 1.71382 34.7185i 0.0918705 1.86111i
\(349\) −13.3103 + 7.68472i −0.712486 + 0.411354i −0.811981 0.583684i \(-0.801611\pi\)
0.0994949 + 0.995038i \(0.468277\pi\)
\(350\) −13.2363 9.54757i −0.707510 0.510339i
\(351\) 19.3954 + 38.1882i 1.03525 + 2.03834i
\(352\) −0.351270 0.597890i −0.0187228 0.0318676i
\(353\) 6.23302 23.2620i 0.331750 1.23811i −0.575599 0.817732i \(-0.695231\pi\)
0.907349 0.420377i \(-0.138102\pi\)
\(354\) −32.2945 5.06470i −1.71643 0.269186i
\(355\) 13.0860 + 7.08895i 0.694534 + 0.376243i
\(356\) 6.52745 + 30.2572i 0.345954 + 1.60363i
\(357\) 8.82443 + 32.9332i 0.467038 + 1.74301i
\(358\) 2.60675 5.87886i 0.137771 0.310707i
\(359\) −28.3442 −1.49595 −0.747975 0.663727i \(-0.768974\pi\)
−0.747975 + 0.663727i \(0.768974\pi\)
\(360\) 42.3017 + 7.59931i 2.22950 + 0.400519i
\(361\) 8.88694 + 15.3926i 0.467734 + 0.810139i
\(362\) 15.0042 + 20.5857i 0.788601 + 1.08196i
\(363\) 24.3108 24.3108i 1.27598 1.27598i
\(364\) 5.93754 15.5485i 0.311212 0.814963i
\(365\) 0.132583 + 0.125576i 0.00693972 + 0.00657296i
\(366\) 14.3046 + 2.24337i 0.747713 + 0.117263i
\(367\) 6.02030 22.4681i 0.314257 1.17282i −0.610422 0.792077i \(-0.709000\pi\)
0.924679 0.380748i \(-0.124333\pi\)
\(368\) −15.6260 19.0587i −0.814563 0.993504i
\(369\) 41.5880i 2.16498i
\(370\) 4.94706 + 11.8602i 0.257185 + 0.616582i
\(371\) 13.2441 + 7.64646i 0.687597 + 0.396984i
\(372\) −34.7094 22.3910i −1.79960 1.16092i
\(373\) 25.9869 6.96316i 1.34555 0.360539i 0.487059 0.873369i \(-0.338070\pi\)
0.858490 + 0.512831i \(0.171403\pi\)
\(374\) 0.126774 0.808359i 0.00655531 0.0417992i
\(375\) −34.4242 6.27819i −1.77766 0.324204i
\(376\) 12.2113 + 6.15209i 0.629751 + 0.317270i
\(377\) −19.5903 + 4.13744i −1.00895 + 0.213089i
\(378\) 4.11163 + 38.5563i 0.211479 + 1.98312i
\(379\) 13.1019 + 22.6931i 0.672998 + 1.16567i 0.977050 + 0.213011i \(0.0683269\pi\)
−0.304052 + 0.952655i \(0.598340\pi\)
\(380\) 3.42304 + 3.57841i 0.175598 + 0.183569i
\(381\) 26.6451 46.1506i 1.36507 2.36437i
\(382\) 0.0317500 + 0.297732i 0.00162447 + 0.0152333i
\(383\) −1.89747 7.08144i −0.0969560 0.361845i 0.900353 0.435161i \(-0.143308\pi\)
−0.997309 + 0.0733161i \(0.976642\pi\)
\(384\) 29.9002 + 18.9687i 1.52584 + 0.967991i
\(385\) −0.435052 + 0.459327i −0.0221723 + 0.0234095i
\(386\) 13.1060 5.05377i 0.667078 0.257230i
\(387\) 17.3671 64.8147i 0.882817 3.29472i
\(388\) −3.99406 0.197160i −0.202768 0.0100093i
\(389\) 1.21458i 0.0615814i −0.999526 0.0307907i \(-0.990197\pi\)
0.999526 0.0307907i \(-0.00980254\pi\)
\(390\) −2.84158 35.5717i −0.143889 1.80124i
\(391\) 29.0810i 1.47069i
\(392\) −3.15003 + 3.53067i −0.159100 + 0.178326i
\(393\) 1.48086 5.52664i 0.0746995 0.278782i
\(394\) −8.12435 21.0690i −0.409299 1.06144i
\(395\) 17.6799 0.479862i 0.889571 0.0241445i
\(396\) 0.510027 1.58607i 0.0256298 0.0797032i
\(397\) 0.346410 + 1.29282i 0.0173858 + 0.0648847i 0.974074 0.226231i \(-0.0726403\pi\)
−0.956688 + 0.291115i \(0.905974\pi\)
\(398\) 29.3255 3.12726i 1.46995 0.156755i
\(399\) −3.99941 + 6.92718i −0.200221 + 0.346793i
\(400\) −16.8598 10.7585i −0.842992 0.537926i
\(401\) −5.70095 9.87433i −0.284692 0.493101i 0.687843 0.725860i \(-0.258558\pi\)
−0.972534 + 0.232759i \(0.925225\pi\)
\(402\) 4.70107 0.501320i 0.234468 0.0250036i
\(403\) −7.38151 + 22.6179i −0.367699 + 1.12668i
\(404\) −23.4959 + 5.06882i −1.16896 + 0.252183i
\(405\) 19.6504 + 31.9980i 0.976438 + 1.58999i
\(406\) −17.9073 2.80837i −0.888725 0.139377i
\(407\) 0.481174 0.128930i 0.0238509 0.00639084i
\(408\) 13.0922 + 39.6778i 0.648161 + 1.96435i
\(409\) −11.3662 6.56231i −0.562025 0.324485i 0.191933 0.981408i \(-0.438524\pi\)
−0.753958 + 0.656923i \(0.771858\pi\)
\(410\) −7.36173 + 17.8979i −0.363570 + 0.883913i
\(411\) 26.9224i 1.32798i
\(412\) −4.02284 7.83636i −0.198191 0.386070i
\(413\) −4.41182 + 16.4651i −0.217092 + 0.810197i
\(414\) 9.17421 58.4984i 0.450888 2.87504i
\(415\) −12.1509 + 12.8289i −0.596463 + 0.629745i
\(416\) 6.18056 19.4371i 0.303027 0.952982i
\(417\) −29.2015 + 29.2015i −1.43001 + 1.43001i
\(418\) 0.155129 0.113068i 0.00758762 0.00553035i
\(419\) 16.7642 + 29.0364i 0.818984 + 1.41852i 0.906432 + 0.422352i \(0.138795\pi\)
−0.0874483 + 0.996169i \(0.527871\pi\)
\(420\) 9.05152 31.0115i 0.441669 1.51320i
\(421\) 10.3002 0.502000 0.251000 0.967987i \(-0.419241\pi\)
0.251000 + 0.967987i \(0.419241\pi\)
\(422\) 17.6182 + 7.81208i 0.857639 + 0.380286i
\(423\) 8.50269 + 31.7325i 0.413415 + 1.54289i
\(424\) 16.7368 + 8.43202i 0.812811 + 0.409495i
\(425\) −7.33546 22.4303i −0.355822 1.08803i
\(426\) −4.56433 + 29.1040i −0.221143 + 1.41009i
\(427\) 1.95418 7.29309i 0.0945693 0.352938i
\(428\) 10.6829 + 6.89155i 0.516379 + 0.333115i
\(429\) −1.38133 0.0741923i −0.0666911 0.00358204i
\(430\) −18.9474 + 24.8195i −0.913723 + 1.19690i
\(431\) 13.7108 7.91594i 0.660426 0.381297i −0.132013 0.991248i \(-0.542144\pi\)
0.792439 + 0.609951i \(0.208811\pi\)
\(432\) 7.71820 + 46.8861i 0.371342 + 2.25581i
\(433\) −14.3853 + 3.85454i −0.691315 + 0.185237i −0.587337 0.809342i \(-0.699824\pi\)
−0.103978 + 0.994580i \(0.533157\pi\)
\(434\) −13.5293 + 16.7593i −0.649427 + 0.804470i
\(435\) −37.2528 + 11.0735i −1.78613 + 0.530933i
\(436\) 8.45644 + 2.71930i 0.404990 + 0.130231i
\(437\) 4.82425 4.82425i 0.230775 0.230775i
\(438\) −0.146523 + 0.330446i −0.00700116 + 0.0157893i
\(439\) −4.52183 7.83204i −0.215815 0.373803i 0.737709 0.675118i \(-0.235908\pi\)
−0.953524 + 0.301316i \(0.902574\pi\)
\(440\) −0.500256 + 0.592302i −0.0238488 + 0.0282369i
\(441\) −11.3682 −0.541341
\(442\) 20.1812 13.1121i 0.959920 0.623678i
\(443\) −10.0969 + 10.0969i −0.479716 + 0.479716i −0.905041 0.425325i \(-0.860160\pi\)
0.425325 + 0.905041i \(0.360160\pi\)
\(444\) −18.8517 + 17.0781i −0.894661 + 0.810489i
\(445\) 29.4898 18.1102i 1.39795 0.858504i
\(446\) 1.89817 + 4.92256i 0.0898812 + 0.233090i
\(447\) 7.20777 + 7.20777i 0.340916 + 0.340916i
\(448\) 11.4888 14.4548i 0.542797 0.682926i
\(449\) −0.165357 0.0954686i −0.00780366 0.00450544i 0.496093 0.868269i \(-0.334767\pi\)
−0.503897 + 0.863764i \(0.668101\pi\)
\(450\) −7.67964 47.4342i −0.362022 2.23607i
\(451\) 0.649694 + 0.375101i 0.0305929 + 0.0176628i
\(452\) 1.17392 23.7812i 0.0552165 1.11857i
\(453\) −15.4152 + 57.5303i −0.724269 + 2.70301i
\(454\) −10.6394 8.58888i −0.499331 0.403096i
\(455\) −18.6016 0.493510i −0.872056 0.0231361i
\(456\) −4.41029 + 8.75403i −0.206531 + 0.409945i
\(457\) −25.7744 6.90622i −1.20567 0.323059i −0.400610 0.916249i \(-0.631202\pi\)
−0.805063 + 0.593189i \(0.797869\pi\)
\(458\) 32.4478 23.6500i 1.51619 1.10509i
\(459\) −28.0343 + 48.5568i −1.30853 + 2.26644i
\(460\) −14.3034 + 23.5515i −0.666898 + 1.09809i
\(461\) 18.4686 31.9886i 0.860170 1.48986i −0.0115952 0.999933i \(-0.503691\pi\)
0.871765 0.489925i \(-0.162976\pi\)
\(462\) −1.14481 0.507622i −0.0532615 0.0236167i
\(463\) 0.145585 0.145585i 0.00676593 0.00676593i −0.703716 0.710482i \(-0.748477\pi\)
0.710482 + 0.703716i \(0.248477\pi\)
\(464\) −22.1049 2.18767i −1.02619 0.101560i
\(465\) −10.7377 + 44.9147i −0.497949 + 2.08287i
\(466\) 4.34751 27.7214i 0.201394 1.28417i
\(467\) 21.9300 + 21.9300i 1.01480 + 1.01480i 0.999889 + 0.0149099i \(0.00474613\pi\)
0.0149099 + 0.999889i \(0.495254\pi\)
\(468\) 44.7322 20.0092i 2.06775 0.924927i
\(469\) 2.46529i 0.113837i
\(470\) 1.95792 15.1616i 0.0903120 0.699350i
\(471\) −1.55282 + 0.896521i −0.0715502 + 0.0413095i
\(472\) −4.24998 + 20.4522i −0.195621 + 0.941390i
\(473\) 0.855905 + 0.855905i 0.0393546 + 0.0393546i
\(474\) 12.5958 + 32.6649i 0.578546 + 1.50035i
\(475\) 2.50409 4.93785i 0.114896 0.226564i
\(476\) 21.2975 4.59455i 0.976168 0.210591i
\(477\) 11.6537 + 43.4924i 0.533588 + 1.99138i
\(478\) 20.1488 + 27.6441i 0.921585 + 1.26441i
\(479\) 0.255418 + 0.442398i 0.0116704 + 0.0202137i 0.871802 0.489859i \(-0.162952\pi\)
−0.860131 + 0.510073i \(0.829618\pi\)
\(480\) 8.91253 38.5727i 0.406800 1.76060i
\(481\) 12.2778 + 7.99597i 0.559818 + 0.364585i
\(482\) −1.84604 + 0.196861i −0.0840849 + 0.00896678i
\(483\) −42.9917 11.5196i −1.95619 0.524159i
\(484\) −14.7503 16.2821i −0.670467 0.740097i
\(485\) 1.27391 + 4.28560i 0.0578452 + 0.194599i
\(486\) −15.0308 + 18.6192i −0.681810 + 0.844584i
\(487\) 14.3541 3.84616i 0.650444 0.174286i 0.0815146 0.996672i \(-0.474024\pi\)
0.568930 + 0.822386i \(0.307358\pi\)
\(488\) 1.88249 9.05914i 0.0852165 0.410088i
\(489\) 21.8500i 0.988093i
\(490\) 4.89242 + 2.01235i 0.221017 + 0.0909085i
\(491\) −10.1226 + 5.84427i −0.456825 + 0.263748i −0.710708 0.703487i \(-0.751625\pi\)
0.253883 + 0.967235i \(0.418292\pi\)
\(492\) −38.2612 1.88870i −1.72495 0.0851492i
\(493\) −18.5336 18.5336i −0.834712 0.834712i
\(494\) 5.52302 + 1.17269i 0.248492 + 0.0527618i
\(495\) −1.86203 + 0.0505386i −0.0836918 + 0.00227154i
\(496\) −15.3845 + 21.4476i −0.690784 + 0.963028i
\(497\) 14.8385 + 3.97596i 0.665596 + 0.178346i
\(498\) −31.9743 14.1777i −1.43280 0.635319i
\(499\) 32.5293 1.45621 0.728105 0.685466i \(-0.240401\pi\)
0.728105 + 0.685466i \(0.240401\pi\)
\(500\) −5.09158 + 21.7733i −0.227702 + 0.973731i
\(501\) 1.30551 2.26120i 0.0583257 0.101023i
\(502\) −1.09080 10.2289i −0.0486848 0.456536i
\(503\) −2.95078 11.0125i −0.131569 0.491022i 0.868420 0.495830i \(-0.165136\pi\)
−0.999988 + 0.00480844i \(0.998469\pi\)
\(504\) 44.2907 2.52352i 1.97286 0.112407i
\(505\) 14.0632 + 22.9000i 0.625806 + 1.01904i
\(506\) 0.831125 + 0.670945i 0.0369480 + 0.0298271i
\(507\) −25.5230 31.6863i −1.13352 1.40724i
\(508\) −28.6159 18.4601i −1.26963 0.819034i
\(509\) −27.9786 + 16.1535i −1.24013 + 0.715990i −0.969121 0.246586i \(-0.920691\pi\)
−0.271011 + 0.962576i \(0.587358\pi\)
\(510\) 36.9900 28.5291i 1.63795 1.26329i
\(511\) 0.163239 + 0.0942463i 0.00722128 + 0.00416921i
\(512\) 13.0487 18.4860i 0.576676 0.816973i
\(513\) −12.7057 + 3.40448i −0.560971 + 0.150312i
\(514\) −12.3714 32.0829i −0.545679 1.41512i
\(515\) −6.77232 + 7.15020i −0.298424 + 0.315076i
\(516\) −58.8413 18.9213i −2.59034 0.832966i
\(517\) −0.572419 0.153379i −0.0251750 0.00674561i
\(518\) 7.81284 + 10.7192i 0.343277 + 0.470974i
\(519\) 41.7360 1.83201
\(520\) −22.7930 + 0.692903i −0.999538 + 0.0303858i
\(521\) −37.4498 −1.64071 −0.820353 0.571857i \(-0.806223\pi\)
−0.820353 + 0.571857i \(0.806223\pi\)
\(522\) −31.4347 43.1284i −1.37586 1.88768i
\(523\) −29.6558 7.94623i −1.29676 0.347465i −0.456533 0.889706i \(-0.650909\pi\)
−0.840222 + 0.542242i \(0.817576\pi\)
\(524\) −3.48069 1.11927i −0.152055 0.0488956i
\(525\) −36.0654 + 1.95920i −1.57402 + 0.0855064i
\(526\) −5.06096 13.1246i −0.220668 0.572262i
\(527\) −30.0837 + 8.06091i −1.31047 + 0.351139i
\(528\) −1.43604 0.541259i −0.0624954 0.0235553i
\(529\) 12.9583 + 7.48148i 0.563404 + 0.325282i
\(530\) 2.68351 20.7803i 0.116564 0.902641i
\(531\) −43.4642 + 25.0940i −1.88618 + 1.08899i
\(532\) 4.29523 + 2.77085i 0.186222 + 0.120131i
\(533\) 4.55963 + 21.5893i 0.197499 + 0.935136i
\(534\) 53.3018 + 43.0291i 2.30659 + 1.86205i
\(535\) 3.30487 13.8239i 0.142882 0.597660i
\(536\) −0.171853 3.01623i −0.00742294 0.130281i
\(537\) −3.68354 13.7472i −0.158956 0.593234i
\(538\) −0.339343 3.18215i −0.0146301 0.137192i
\(539\) 0.102535 0.177595i 0.00441648 0.00764957i
\(540\) 46.5862 25.5356i 2.00475 1.09888i
\(541\) −7.08138 −0.304452 −0.152226 0.988346i \(-0.548644\pi\)
−0.152226 + 0.988346i \(0.548644\pi\)
\(542\) 10.3461 + 4.58755i 0.444401 + 0.197052i
\(543\) 54.4540 + 14.5909i 2.33685 + 0.626156i
\(544\) 25.7366 7.10595i 1.10345 0.304665i
\(545\) −0.269456 9.92774i −0.0115422 0.425258i
\(546\) −11.3900 35.0286i −0.487445 1.49909i
\(547\) 25.0736 + 25.0736i 1.07207 + 1.07207i 0.997193 + 0.0748789i \(0.0238570\pi\)
0.0748789 + 0.997193i \(0.476143\pi\)
\(548\) −17.1831 0.848212i −0.734024 0.0362338i
\(549\) 19.2521 11.1152i 0.821659 0.474385i
\(550\) 0.810291 + 0.307858i 0.0345509 + 0.0131271i
\(551\) 6.14908i 0.261960i
\(552\) −53.4023 11.0970i −2.27295 0.472320i
\(553\) 17.6337 4.72494i 0.749863 0.200925i
\(554\) 2.59963 3.22026i 0.110448 0.136816i
\(555\) 25.0061 + 13.5463i 1.06145 + 0.575008i
\(556\) 17.7177 + 19.5577i 0.751398 + 0.829433i
\(557\) −8.19993 2.19716i −0.347442 0.0930969i 0.0808777 0.996724i \(-0.474228\pi\)
−0.428320 + 0.903627i \(0.640894\pi\)
\(558\) −63.0583 + 6.72451i −2.66947 + 0.284671i
\(559\) −1.90947 + 35.5509i −0.0807622 + 1.50364i
\(560\) −19.5077 6.75413i −0.824352 0.285414i
\(561\) −0.905420 1.56823i −0.0382268 0.0662108i
\(562\) 16.6837 + 22.8900i 0.703761 + 0.965558i
\(563\) 8.96256 + 33.4487i 0.377727 + 1.40970i 0.849320 + 0.527879i \(0.177013\pi\)
−0.471593 + 0.881816i \(0.656321\pi\)
\(564\) 29.5802 6.38141i 1.24555 0.268706i
\(565\) −25.5171 + 7.58502i −1.07351 + 0.319104i
\(566\) 7.98751 + 20.7141i 0.335740 + 0.870679i
\(567\) 27.4067 + 27.4067i 1.15097 + 1.15097i
\(568\) 18.4317 + 3.83011i 0.773375 + 0.160708i
\(569\) 6.84427 3.95154i 0.286927 0.165657i −0.349628 0.936888i \(-0.613692\pi\)
0.636555 + 0.771231i \(0.280359\pi\)
\(570\) 10.8690 + 1.40359i 0.455251 + 0.0587898i
\(571\) 9.97332i 0.417371i 0.977983 + 0.208685i \(0.0669184\pi\)
−0.977983 + 0.208685i \(0.933082\pi\)
\(572\) −0.0908727 + 0.879286i −0.00379958 + 0.0367648i
\(573\) 0.468561 + 0.468561i 0.0195744 + 0.0195744i
\(574\) −3.09494 + 19.7346i −0.129180 + 0.823705i
\(575\) 30.1460 + 6.34757i 1.25718 + 0.264712i
\(576\) 54.0126 6.17493i 2.25053 0.257289i
\(577\) 30.7035 30.7035i 1.27820 1.27820i 0.336530 0.941673i \(-0.390747\pi\)
0.941673 0.336530i \(-0.109253\pi\)
\(578\) 6.82240 + 3.02513i 0.283775 + 0.125829i
\(579\) 15.5432 26.9217i 0.645955 1.11883i
\(580\) 5.89391 + 24.1253i 0.244731 + 1.00175i
\(581\) −9.11936 + 15.7952i −0.378335 + 0.655295i
\(582\) −7.15189 + 5.21276i −0.296455 + 0.216076i
\(583\) −0.784555 0.210221i −0.0324930 0.00870646i
\(584\) 0.206289 + 0.103929i 0.00853630 + 0.00430060i
\(585\) −37.6996 39.7545i −1.55868 1.64364i
\(586\) −11.7776 9.50771i −0.486527 0.392760i
\(587\) 11.6297 43.4027i 0.480010 1.79142i −0.121539 0.992587i \(-0.538783\pi\)
0.601550 0.798835i \(-0.294550\pi\)
\(588\) −0.516280 + 10.4588i −0.0212910 + 0.431313i
\(589\) −6.32781 3.65337i −0.260733 0.150534i
\(590\) 23.1474 3.10567i 0.952962 0.127858i
\(591\) −43.2789 24.9871i −1.78025 1.02783i
\(592\) 10.3060 + 12.5700i 0.423576 + 0.516625i
\(593\) 28.9408 + 28.9408i 1.18846 + 1.18846i 0.977494 + 0.210964i \(0.0676602\pi\)
0.210964 + 0.977494i \(0.432340\pi\)
\(594\) −0.740941 1.92149i −0.0304012 0.0788398i
\(595\) −12.7474 20.7574i −0.522593 0.850969i
\(596\) 4.82741 4.37323i 0.197738 0.179135i
\(597\) 46.1514 46.1514i 1.88885 1.88885i
\(598\) 1.65111 + 31.3737i 0.0675190 + 1.28297i
\(599\) −29.7536 −1.21570 −0.607849 0.794053i \(-0.707967\pi\)
−0.607849 + 0.794053i \(0.707967\pi\)
\(600\) −43.9885 + 4.91112i −1.79582 + 0.200495i
\(601\) 12.9276 + 22.3913i 0.527329 + 0.913360i 0.999493 + 0.0318495i \(0.0101397\pi\)
−0.472164 + 0.881511i \(0.656527\pi\)
\(602\) −13.0646 + 29.4638i −0.532472 + 1.20086i
\(603\) 5.13254 5.13254i 0.209013 0.209013i
\(604\) 36.2327 + 11.6512i 1.47429 + 0.474081i
\(605\) −11.6999 + 21.5977i −0.475668 + 0.878071i
\(606\) −33.4137 + 41.3909i −1.35734 + 1.68139i
\(607\) −22.8350 + 6.11861i −0.926843 + 0.248347i −0.690508 0.723325i \(-0.742613\pi\)
−0.236335 + 0.971672i \(0.575946\pi\)
\(608\) 5.44826 + 3.09065i 0.220956 + 0.125342i
\(609\) −34.7405 + 20.0575i −1.40776 + 0.812769i
\(610\) −10.2529 + 1.37563i −0.415129 + 0.0556977i
\(611\) −7.89303 15.5408i −0.319318 0.628715i
\(612\) 53.9051 + 34.7741i 2.17898 + 1.40566i
\(613\) 8.91404 33.2677i 0.360035 1.34367i −0.513994 0.857794i \(-0.671835\pi\)
0.874029 0.485874i \(-0.161499\pi\)
\(614\) −0.128188 + 0.817380i −0.00517326 + 0.0329868i
\(615\) 12.2034 + 41.0540i 0.492090 + 1.65546i
\(616\) −0.360055 + 0.714677i −0.0145070 + 0.0287952i
\(617\) 0.515342 + 1.92328i 0.0207469 + 0.0774284i 0.975523 0.219897i \(-0.0705721\pi\)
−0.954776 + 0.297325i \(0.903905\pi\)
\(618\) −17.8209 7.90199i −0.716863 0.317865i
\(619\) −9.88711 −0.397396 −0.198698 0.980061i \(-0.563671\pi\)
−0.198698 + 0.980061i \(0.563671\pi\)
\(620\) 28.3282 + 8.26835i 1.13769 + 0.332065i
\(621\) −36.5965 63.3871i −1.46857 2.54363i
\(622\) −29.6419 + 21.6049i −1.18853 + 0.866279i
\(623\) 25.2585 25.2585i 1.01196 1.01196i
\(624\) −16.3771 42.0626i −0.655610 1.68385i
\(625\) 24.8529 2.70818i 0.994115 0.108327i
\(626\) −1.03291 + 6.58623i −0.0412833 + 0.263239i
\(627\) 0.109954 0.410354i 0.00439115 0.0163880i
\(628\) 0.523277 + 1.01932i 0.0208810 + 0.0406755i
\(629\) 19.1802i 0.764764i
\(630\) −19.0939 45.7762i −0.760720 1.82377i
\(631\) −0.431549 0.249155i −0.0171797 0.00991871i 0.491386 0.870942i \(-0.336491\pi\)
−0.508565 + 0.861023i \(0.669824\pi\)
\(632\) 21.2451 7.01008i 0.845083 0.278846i
\(633\) 41.1984 11.0391i 1.63749 0.438764i
\(634\) −20.5117 3.21682i −0.814624 0.127756i
\(635\) −8.85261 + 37.0295i −0.351305 + 1.46947i
\(636\) 40.5425 8.74634i 1.60762 0.346815i
\(637\) 5.90148 1.24639i 0.233825 0.0493836i
\(638\) 0.957283 0.102084i 0.0378992 0.00404155i
\(639\) 22.6149 + 39.1701i 0.894631 + 1.54955i
\(640\) −24.3380 6.90364i −0.962045 0.272890i
\(641\) −12.7890 + 22.1512i −0.505136 + 0.874921i 0.494846 + 0.868981i \(0.335224\pi\)
−0.999982 + 0.00594081i \(0.998109\pi\)
\(642\) 27.9763 2.98337i 1.10413 0.117744i
\(643\) 4.41272 + 16.4685i 0.174021 + 0.649454i 0.996716 + 0.0809721i \(0.0258025\pi\)
−0.822696 + 0.568482i \(0.807531\pi\)
\(644\) −8.70680 + 27.0763i −0.343096 + 1.06695i
\(645\) 1.87492 + 69.0788i 0.0738248 + 2.71997i
\(646\) 2.65921 + 6.89617i 0.104625 + 0.271326i
\(647\) −9.58163 + 35.7591i −0.376693 + 1.40584i 0.474163 + 0.880437i \(0.342751\pi\)
−0.850856 + 0.525399i \(0.823916\pi\)
\(648\) 35.4419 + 31.6209i 1.39229 + 1.24219i
\(649\) 0.905339i 0.0355377i
\(650\) 9.18728 + 23.7822i 0.360355 + 0.932815i
\(651\) 47.6671i 1.86822i
\(652\) −13.9457 0.688404i −0.546154 0.0269600i
\(653\) 2.33882 8.72859i 0.0915250 0.341576i −0.904945 0.425529i \(-0.860088\pi\)
0.996470 + 0.0839532i \(0.0267546\pi\)
\(654\) 18.3423 7.07290i 0.717239 0.276572i
\(655\) 0.110909 + 4.08628i 0.00433356 + 0.159664i
\(656\) −2.41090 + 24.3605i −0.0941300 + 0.951117i
\(657\) 0.143638 + 0.536064i 0.00560385 + 0.0209139i
\(658\) −1.67324 15.6906i −0.0652298 0.611685i
\(659\) 5.58784 9.67842i 0.217671 0.377018i −0.736424 0.676520i \(-0.763487\pi\)
0.954096 + 0.299502i \(0.0968206\pi\)
\(660\) −0.0380673 + 1.71537i −0.00148177 + 0.0667707i
\(661\) 7.12565 + 12.3420i 0.277156 + 0.480048i 0.970677 0.240388i \(-0.0772748\pi\)
−0.693521 + 0.720436i \(0.743942\pi\)
\(662\) 0.0576929 + 0.541008i 0.00224230 + 0.0210269i
\(663\) 16.5246 50.6336i 0.641763 1.96644i
\(664\) −10.0562 + 19.9607i −0.390258 + 0.774626i
\(665\) 1.32877 5.55811i 0.0515275 0.215534i
\(666\) −6.05079 + 38.5822i −0.234463 + 1.49503i
\(667\) 33.0498 8.85567i 1.27969 0.342893i
\(668\) −1.40207 0.904473i −0.0542477 0.0349951i
\(669\) 10.1117 + 5.83798i 0.390940 + 0.225709i
\(670\) −3.11739 + 1.30031i −0.120435 + 0.0502353i
\(671\) 0.401012i 0.0154809i
\(672\) −0.310213 40.8623i −0.0119667 1.57630i
\(673\) 2.85650 10.6606i 0.110110 0.410936i −0.888765 0.458364i \(-0.848436\pi\)
0.998875 + 0.0474279i \(0.0151024\pi\)
\(674\) 28.7275 + 4.50529i 1.10654 + 0.173537i
\(675\) −44.2159 39.6595i −1.70187 1.52650i
\(676\) −21.0278 + 15.2916i −0.808760 + 0.588139i
\(677\) −8.11175 + 8.11175i −0.311760 + 0.311760i −0.845591 0.533831i \(-0.820752\pi\)
0.533831 + 0.845591i \(0.320752\pi\)
\(678\) −31.0375 42.5833i −1.19199 1.63540i
\(679\) 2.30743 + 3.99659i 0.0885512 + 0.153375i
\(680\) −17.0431 24.5075i −0.653574 0.939820i
\(681\) −30.2608 −1.15959
\(682\) 0.463701 1.04576i 0.0177560 0.0400442i
\(683\) −2.20085 8.21369i −0.0842132 0.314288i 0.910951 0.412515i \(-0.135350\pi\)
−0.995164 + 0.0982269i \(0.968683\pi\)
\(684\) 3.17364 + 14.7110i 0.121347 + 0.562489i
\(685\) 5.48054 + 18.4373i 0.209401 + 0.704454i
\(686\) 27.9672 + 4.38605i 1.06779 + 0.167460i
\(687\) 22.9987 85.8323i 0.877455 3.27471i
\(688\) −13.9303 + 36.9590i −0.531087 + 1.40905i
\(689\) −10.8182 21.3002i −0.412139 0.811473i
\(690\) 8.10914 + 60.4394i 0.308709 + 2.30089i
\(691\) 41.5873 24.0104i 1.58205 0.913400i 0.587495 0.809228i \(-0.300114\pi\)
0.994559 0.104172i \(-0.0332192\pi\)
\(692\) 1.31493 26.6377i 0.0499860 1.01262i
\(693\) −1.85717 + 0.497626i −0.0705479 + 0.0189032i
\(694\) −11.1980 9.03982i −0.425069 0.343147i
\(695\) 14.0537 25.9427i 0.533085 0.984062i
\(696\) −41.1060 + 26.9615i −1.55812 + 1.02197i
\(697\) −20.4248 + 20.4248i −0.773644 + 0.773644i
\(698\) 19.8699 + 8.81054i 0.752088 + 0.333484i
\(699\) −31.0500 53.7801i −1.17442 2.03415i
\(700\) 0.114176 + 23.0803i 0.00431543 + 0.872352i
\(701\) −14.4231 −0.544752 −0.272376 0.962191i \(-0.587810\pi\)
−0.272376 + 0.962191i \(0.587810\pi\)
\(702\) 27.4876 53.9766i 1.03745 2.03722i
\(703\) −3.18180 + 3.18180i −0.120004 + 0.120004i
\(704\) −0.390699 + 0.899489i −0.0147250 + 0.0339008i
\(705\) −17.7050 28.8301i −0.666809 1.08580i
\(706\) −31.7772 + 12.2535i −1.19595 + 0.461167i
\(707\) 19.6142 + 19.6142i 0.737668 + 0.737668i
\(708\) 21.1128 + 41.1270i 0.793467 + 1.54565i
\(709\) 8.86260 + 5.11682i 0.332842 + 0.192166i 0.657102 0.753802i \(-0.271782\pi\)
−0.324260 + 0.945968i \(0.605115\pi\)
\(710\) −2.79885 20.8605i −0.105039 0.782881i
\(711\) 46.5490 + 26.8751i 1.74572 + 1.00789i
\(712\) 29.1424 32.6639i 1.09216 1.22413i
\(713\) 10.5229 39.2719i 0.394085 1.47074i
\(714\) 30.2874 37.5181i 1.13348 1.40408i
\(715\) 0.961080 0.230385i 0.0359424 0.00861591i
\(716\) −8.89010 + 1.91788i −0.332239 + 0.0716746i
\(717\) 73.1253 + 19.5939i 2.73092 + 0.731747i
\(718\) 23.6104 + 32.3934i 0.881134 + 1.20891i
\(719\) 4.17472 7.23083i 0.155691 0.269664i −0.777620 0.628735i \(-0.783573\pi\)
0.933310 + 0.359071i \(0.116906\pi\)
\(720\) −26.5520 54.6750i −0.989533 2.03762i
\(721\) −5.08270 + 8.80349i −0.189289 + 0.327859i
\(722\) 10.1889 22.9784i 0.379191 0.855169i
\(723\) −2.90524 + 2.90524i −0.108047 + 0.108047i
\(724\) 11.0282 34.2953i 0.409859 1.27457i
\(725\) 23.2577 15.1670i 0.863769 0.563287i
\(726\) −48.0344 7.53316i −1.78272 0.279582i
\(727\) −0.316769 0.316769i −0.0117483 0.0117483i 0.701208 0.712957i \(-0.252644\pi\)
−0.712957 + 0.701208i \(0.752644\pi\)
\(728\) −22.7157 + 6.16597i −0.841898 + 0.228526i
\(729\) 2.57844i 0.0954976i
\(730\) 0.0330756 0.256128i 0.00122418 0.00947971i
\(731\) −40.3613 + 23.3026i −1.49282 + 0.861879i
\(732\) −9.35173 18.2168i −0.345650 0.673314i
\(733\) −4.13907 4.13907i −0.152880 0.152880i 0.626523 0.779403i \(-0.284477\pi\)
−0.779403 + 0.626523i \(0.784477\pi\)
\(734\) −30.6927 + 11.8353i −1.13289 + 0.436850i
\(735\) 11.2222 3.33584i 0.413938 0.123044i
\(736\) −8.76509 + 33.7341i −0.323086 + 1.24345i
\(737\) 0.0338887 + 0.126474i 0.00124830 + 0.00465874i
\(738\) −47.5292 + 34.6424i −1.74957 + 1.27520i
\(739\) −1.06786 1.84959i −0.0392819 0.0680382i 0.845716 0.533633i \(-0.179174\pi\)
−0.884998 + 0.465595i \(0.845840\pi\)
\(740\) 9.43369 15.5332i 0.346789 0.571013i
\(741\) 11.1409 5.65834i 0.409270 0.207864i
\(742\) −2.29334 21.5055i −0.0841911 0.789492i
\(743\) 23.2094 + 6.21895i 0.851472 + 0.228151i 0.658059 0.752966i \(-0.271378\pi\)
0.193413 + 0.981117i \(0.438044\pi\)
\(744\) 3.32283 + 58.3195i 0.121821 + 2.13810i
\(745\) −6.40339 3.46884i −0.234602 0.127089i
\(746\) −29.6047 23.8991i −1.08391 0.875008i
\(747\) −51.8701 + 13.8985i −1.89783 + 0.508521i
\(748\) −1.02944 + 0.528470i −0.0376401 + 0.0193228i
\(749\) 14.6711i 0.536069i
\(750\) 21.5000 + 44.5717i 0.785068 + 1.62753i
\(751\) −13.3781 + 7.72387i −0.488175 + 0.281848i −0.723817 0.689992i \(-0.757614\pi\)
0.235642 + 0.971840i \(0.424281\pi\)
\(752\) −3.14095 19.0805i −0.114539 0.695793i
\(753\) −16.0978 16.0978i −0.586637 0.586637i
\(754\) 21.0470 + 18.9425i 0.766488 + 0.689845i
\(755\) −1.15452 42.5367i −0.0420172 1.54807i
\(756\) 40.6395 36.8160i 1.47804 1.33899i
\(757\) −17.4391 4.67279i −0.633835 0.169835i −0.0724255 0.997374i \(-0.523074\pi\)
−0.561409 + 0.827538i \(0.689741\pi\)
\(758\) 15.0213 33.8767i 0.545598 1.23046i
\(759\) 2.36391 0.0858043
\(760\) 1.23827 6.89284i 0.0449167 0.250029i
\(761\) 16.3207 28.2683i 0.591626 1.02473i −0.402388 0.915469i \(-0.631820\pi\)
0.994014 0.109257i \(-0.0348470\pi\)
\(762\) −74.9388 + 7.99144i −2.71474 + 0.289499i
\(763\) −2.65319 9.90182i −0.0960517 0.358470i
\(764\) 0.313819 0.284294i 0.0113536 0.0102854i
\(765\) 16.6761 69.7543i 0.602924 2.52197i
\(766\) −6.51252 + 8.06731i −0.235307 + 0.291484i
\(767\) 19.8120 17.7922i 0.715370 0.642440i
\(768\) −3.22801 49.9724i −0.116481 1.80322i
\(769\) −31.0609 + 17.9330i −1.12008 + 0.646681i −0.941422 0.337230i \(-0.890510\pi\)
−0.178661 + 0.983911i \(0.557177\pi\)
\(770\) 0.887341 + 0.114589i 0.0319775 + 0.00412948i
\(771\) −65.9032 38.0492i −2.37344 1.37031i
\(772\) −16.6929 10.7686i −0.600791 0.387570i
\(773\) −4.28307 + 1.14765i −0.154051 + 0.0412780i −0.335021 0.942211i \(-0.608743\pi\)
0.180969 + 0.983489i \(0.442077\pi\)
\(774\) −88.5407 + 34.1419i −3.18253 + 1.22721i
\(775\) −1.78968 32.9449i −0.0642872 1.18342i
\(776\) 3.10169 + 4.72888i 0.111344 + 0.169757i
\(777\) 28.3549 + 7.59766i 1.01723 + 0.272565i
\(778\) −1.38809 + 1.01173i −0.0497654 + 0.0362723i
\(779\) −6.77654 −0.242795
\(780\) −38.2865 + 32.8784i −1.37088 + 1.17724i
\(781\) −0.815896 −0.0291950
\(782\) −33.2355 + 24.2242i −1.18850 + 0.866256i
\(783\) −63.7205 17.0738i −2.27718 0.610169i
\(784\) 6.65900 + 0.659026i 0.237821 + 0.0235366i
\(785\) 0.880918 0.930072i 0.0314413 0.0331957i
\(786\) −7.54971 + 2.91122i −0.269289 + 0.103840i
\(787\) −8.71683 + 2.33567i −0.310722 + 0.0832576i −0.410810 0.911721i \(-0.634754\pi\)
0.100089 + 0.994979i \(0.468087\pi\)
\(788\) −17.3114 + 26.8353i −0.616693 + 0.955966i
\(789\) −26.9600 15.5654i −0.959801 0.554141i
\(790\) −15.2756 19.8059i −0.543481 0.704662i
\(791\) −23.7963 + 13.7388i −0.846098 + 0.488495i
\(792\) −2.23751 + 0.738294i −0.0795063 + 0.0262341i
\(793\) −8.77555 + 7.88092i −0.311629 + 0.279860i
\(794\) 1.18895 1.47280i 0.0421944 0.0522678i
\(795\) −24.2664 39.5144i −0.860640 1.40143i
\(796\) −28.0018 30.9099i −0.992499 1.09557i
\(797\) −3.73630 13.9440i −0.132346 0.493924i 0.867648 0.497178i \(-0.165631\pi\)
−0.999995 + 0.00325494i \(0.998964\pi\)
\(798\) 11.2483 1.19951i 0.398184 0.0424622i
\(799\) 11.4087 19.7604i 0.403610 0.699072i
\(800\) 1.74860 + 28.2302i 0.0618222 + 0.998087i
\(801\) 105.172 3.71608
\(802\) −6.53614 + 14.7406i −0.230799 + 0.520509i
\(803\) −0.00967002 0.00259107i −0.000341248 9.14370e-5i
\(804\) −4.48888 4.95507i −0.158311 0.174752i
\(805\) 31.7871 0.862757i 1.12035 0.0304082i
\(806\) 31.9978 10.4045i 1.12707 0.366481i
\(807\) −5.00796 5.00796i −0.176289 0.176289i
\(808\) 25.3648 + 22.6302i 0.892329 + 0.796127i
\(809\) −2.69230 + 1.55440i −0.0946564 + 0.0546499i −0.546581 0.837406i \(-0.684071\pi\)
0.451925 + 0.892056i \(0.350738\pi\)
\(810\) 20.2006 49.1117i 0.709775 1.72561i
\(811\) 26.0878i 0.916066i 0.888935 + 0.458033i \(0.151446\pi\)
−0.888935 + 0.458033i \(0.848554\pi\)
\(812\) 11.7070 + 22.8049i 0.410836 + 0.800294i
\(813\) 24.1933 6.48258i 0.848496 0.227354i
\(814\) −0.548163 0.442517i −0.0192131 0.0155102i
\(815\) 4.44797 + 14.9636i 0.155806 + 0.524152i
\(816\) 34.4405 48.0138i 1.20566 1.68082i
\(817\) −10.5612 2.82987i −0.369490 0.0990046i
\(818\) 1.96818 + 18.4564i 0.0688157 + 0.645311i
\(819\) −47.3879 30.8617i −1.65587 1.07839i
\(820\) 26.5870 6.49533i 0.928458 0.226827i
\(821\) 6.82823 + 11.8268i 0.238307 + 0.412760i 0.960229 0.279215i \(-0.0900743\pi\)
−0.721922 + 0.691975i \(0.756741\pi\)
\(822\) −30.7685 + 22.4261i −1.07317 + 0.782199i
\(823\) −6.71171 25.0485i −0.233956 0.873134i −0.978617 0.205692i \(-0.934056\pi\)
0.744661 0.667443i \(-0.232611\pi\)
\(824\) −5.60487 + 11.1252i −0.195255 + 0.387563i
\(825\) 1.82329 0.596276i 0.0634789 0.0207597i
\(826\) 22.4923 8.67321i 0.782609 0.301780i
\(827\) 26.1891 + 26.1891i 0.910684 + 0.910684i 0.996326 0.0856419i \(-0.0272941\pi\)
−0.0856419 + 0.996326i \(0.527294\pi\)
\(828\) −74.4975 + 38.2437i −2.58897 + 1.32906i
\(829\) 2.56543 1.48115i 0.0891012 0.0514426i −0.454787 0.890600i \(-0.650285\pi\)
0.543889 + 0.839157i \(0.316951\pi\)
\(830\) 24.7832 + 3.20042i 0.860236 + 0.111088i
\(831\) 9.15915i 0.317727i
\(832\) −27.3622 + 9.12740i −0.948614 + 0.316436i
\(833\) 5.58316 + 5.58316i 0.193445 + 0.193445i
\(834\) 57.6978 + 9.04866i 1.99791 + 0.313330i
\(835\) −0.433744 + 1.81431i −0.0150103 + 0.0627866i
\(836\) −0.258442 0.0831062i −0.00893841 0.00287429i
\(837\) −55.4285 + 55.4285i −1.91589 + 1.91589i
\(838\) 19.2201 43.3461i 0.663949 1.49737i
\(839\) −6.00247 + 10.3966i −0.207228 + 0.358930i −0.950840 0.309681i \(-0.899778\pi\)
0.743612 + 0.668611i \(0.233111\pi\)
\(840\) −42.9816 + 15.4876i −1.48301 + 0.534374i
\(841\) 0.919149 1.59201i 0.0316948 0.0548970i
\(842\) −8.57995 11.7717i −0.295685 0.405678i
\(843\) 60.5497 + 16.2242i 2.08544 + 0.558793i
\(844\) −5.74764 26.6425i −0.197842 0.917071i
\(845\) 23.9293 + 16.5042i 0.823194 + 0.567760i
\(846\) 29.1831 36.1502i 1.00334 1.24287i
\(847\) −6.56208 + 24.4900i −0.225476 + 0.841487i
\(848\) −4.30497 26.1516i −0.147833 0.898049i
\(849\) 42.5499 + 24.5662i 1.46031 + 0.843109i
\(850\) −19.5244 + 27.0676i −0.669680 + 0.928412i
\(851\) −21.6837 12.5191i −0.743308 0.429149i
\(852\) 37.0638 19.0269i 1.26979 0.651852i
\(853\) −31.2388 31.2388i −1.06960 1.06960i −0.997390 0.0722064i \(-0.976996\pi\)
−0.0722064 0.997390i \(-0.523004\pi\)
\(854\) −9.96279 + 3.84172i −0.340920 + 0.131461i
\(855\) 14.3379 8.80514i 0.490347 0.301130i
\(856\) −1.02271 17.9497i −0.0349554 0.613507i
\(857\) 13.8404 13.8404i 0.472778 0.472778i −0.430034 0.902813i \(-0.641499\pi\)
0.902813 + 0.430034i \(0.141499\pi\)
\(858\) 1.06584 + 1.64046i 0.0363872 + 0.0560045i
\(859\) 25.0359 0.854215 0.427108 0.904201i \(-0.359533\pi\)
0.427108 + 0.904201i \(0.359533\pi\)
\(860\) 44.1482 + 0.979730i 1.50544 + 0.0334085i
\(861\) 22.1041 + 38.2855i 0.753306 + 1.30477i
\(862\) −20.4678 9.07563i −0.697135 0.309117i
\(863\) 3.73362 3.73362i 0.127094 0.127094i −0.640699 0.767793i \(-0.721355\pi\)
0.767793 + 0.640699i \(0.221355\pi\)
\(864\) 47.1550 47.8765i 1.60425 1.62879i
\(865\) −28.5821 + 8.49612i −0.971822 + 0.288877i
\(866\) 16.3880 + 13.2296i 0.556888 + 0.449561i
\(867\) 15.9536 4.27474i 0.541811 0.145178i
\(868\) 30.4232 + 1.50179i 1.03263 + 0.0509741i
\(869\) −0.839693 + 0.484797i −0.0284846 + 0.0164456i
\(870\) 43.6866 + 33.3506i 1.48112 + 1.13069i
\(871\) −2.10170 + 3.22715i −0.0712134 + 0.109348i
\(872\) −3.93635 11.9297i −0.133302 0.403990i
\(873\) −3.51669 + 13.1245i −0.119022 + 0.444196i
\(874\) −9.53200 1.49489i −0.322425 0.0505654i
\(875\) 24.2999 8.68350i 0.821488 0.293556i
\(876\) 0.499706 0.107803i 0.0168835 0.00364232i
\(877\) 10.9344 + 40.8077i 0.369228 + 1.37798i 0.861598 + 0.507592i \(0.169464\pi\)
−0.492370 + 0.870386i \(0.663869\pi\)
\(878\) −5.18428 + 11.6918i −0.174961 + 0.394580i
\(879\) −33.4980 −1.12986
\(880\) 1.09363 + 0.0783405i 0.0368662 + 0.00264086i
\(881\) −17.6810 30.6243i −0.595687 1.03176i −0.993450 0.114271i \(-0.963547\pi\)
0.397763 0.917488i \(-0.369787\pi\)
\(882\) 9.46957 + 12.9922i 0.318857 + 0.437471i
\(883\) −36.9363 + 36.9363i −1.24301 + 1.24301i −0.284257 + 0.958748i \(0.591747\pi\)
−0.958748 + 0.284257i \(0.908253\pi\)
\(884\) −31.7960 12.1420i −1.06941 0.408380i
\(885\) 35.5427 37.5259i 1.19475 1.26142i
\(886\) 19.9499 + 3.12871i 0.670229 + 0.105111i
\(887\) −3.68830 + 13.7649i −0.123841 + 0.462181i −0.999796 0.0202126i \(-0.993566\pi\)
0.875955 + 0.482393i \(0.160232\pi\)
\(888\) 35.2211 + 7.31896i 1.18194 + 0.245608i
\(889\) 39.2987i 1.31804i
\(890\) −45.2621 18.6172i −1.51719 0.624049i
\(891\) −1.78276 1.02928i −0.0597246 0.0344820i
\(892\) 4.04463 6.26979i 0.135424 0.209928i
\(893\) 5.17064 1.38547i 0.173029 0.0463629i
\(894\) 2.23347 14.2415i 0.0746983 0.476306i
\(895\) 5.32109 + 8.66465i 0.177865 + 0.289627i
\(896\) −26.0899 1.08941i −0.871603 0.0363947i
\(897\) 46.4568 + 51.7306i 1.55115 + 1.72723i
\(898\) 0.0286331 + 0.268504i 0.000955499 + 0.00896008i
\(899\) −18.3220 31.7347i −0.611073 1.05841i
\(900\) −47.8135 + 48.2890i −1.59378 + 1.60963i
\(901\) 15.6367 27.0835i 0.520933 0.902282i
\(902\) −0.112501 1.05496i −0.00374587 0.0351265i
\(903\) 18.4613 + 68.8984i 0.614353 + 2.29280i
\(904\) −28.1564 + 18.4679i −0.936468 + 0.614232i
\(905\) −40.2621 + 1.09278i −1.33836 + 0.0363254i
\(906\) 78.5898 30.3048i 2.61097 1.00681i
\(907\) −8.69982 + 32.4682i −0.288873 + 1.07809i 0.657090 + 0.753812i \(0.271787\pi\)
−0.945963 + 0.324276i \(0.894879\pi\)
\(908\) −0.953391 + 19.3138i −0.0316394 + 0.640950i
\(909\) 81.6703i 2.70883i
\(910\) 14.9309 + 21.6701i 0.494955 + 0.718356i
\(911\) 60.0051i 1.98806i 0.109112 + 0.994030i \(0.465199\pi\)
−0.109112 + 0.994030i \(0.534801\pi\)
\(912\) 13.6783 2.25168i 0.452935 0.0745604i
\(913\) 0.250715 0.935680i 0.00829745 0.0309665i
\(914\) 13.5769 + 35.2093i 0.449085 + 1.16462i
\(915\) −15.7433 + 16.6218i −0.520458 + 0.549498i
\(916\) −54.0574 17.3830i −1.78611 0.574350i
\(917\) 1.09206 + 4.07561i 0.0360629 + 0.134589i
\(918\) 78.8459 8.40810i 2.60230 0.277508i
\(919\) 19.5636 33.8852i 0.645345 1.11777i −0.338877 0.940831i \(-0.610047\pi\)
0.984222 0.176940i \(-0.0566197\pi\)
\(920\) 38.8306 3.27141i 1.28021 0.107855i
\(921\) 0.915524 + 1.58573i 0.0301675 + 0.0522517i
\(922\) −51.9426 + 5.53914i −1.71064 + 0.182422i
\(923\) −16.0345 17.8547i −0.527780 0.587694i
\(924\) 0.373477 + 1.73120i 0.0122865 + 0.0569524i
\(925\) −19.8826 4.18650i −0.653736 0.137651i
\(926\) −0.287655 0.0451125i −0.00945293 0.00148249i
\(927\) −28.9099 + 7.74639i −0.949526 + 0.254425i
\(928\) 15.9130 + 27.0851i 0.522369 + 0.889112i
\(929\) −13.1220 7.57599i −0.430519 0.248560i 0.269049 0.963127i \(-0.413291\pi\)
−0.699568 + 0.714566i \(0.746624\pi\)
\(930\) 60.2756 25.1418i 1.97651 0.824432i
\(931\) 1.85238i 0.0607094i
\(932\) −35.3031 + 18.1231i −1.15639 + 0.593641i
\(933\) −21.0099 + 78.4100i −0.687834 + 2.56703i
\(934\) 6.79543 43.3303i 0.222353 1.41781i
\(935\) 0.939303 + 0.889662i 0.0307185 + 0.0290951i
\(936\) −60.1292 34.4551i −1.96538 1.12620i
\(937\) 15.0306 15.0306i 0.491028 0.491028i −0.417602 0.908630i \(-0.637129\pi\)
0.908630 + 0.417602i \(0.137129\pi\)
\(938\) −2.81748 + 2.05357i −0.0919941 + 0.0670513i
\(939\) 7.37705 + 12.7774i 0.240741 + 0.416975i
\(940\) −18.9584 + 10.3918i −0.618356 + 0.338943i
\(941\) 24.5560 0.800502 0.400251 0.916405i \(-0.368923\pi\)
0.400251 + 0.916405i \(0.368923\pi\)
\(942\) 2.31808 + 1.02786i 0.0755272 + 0.0334896i
\(943\) −9.75930 36.4222i −0.317807 1.18607i
\(944\) 26.9142 12.1794i 0.875983 0.396405i
\(945\) −53.9069 29.2024i −1.75359 0.949955i
\(946\) 0.265219 1.69114i 0.00862300 0.0549837i
\(947\) −1.86852 + 6.97343i −0.0607189 + 0.226606i −0.989617 0.143729i \(-0.954091\pi\)
0.928898 + 0.370335i \(0.120757\pi\)
\(948\) 26.8392 41.6048i 0.871698 1.35126i
\(949\) −0.133339 0.262535i −0.00432837 0.00852226i
\(950\) −7.72915 + 1.25136i −0.250767 + 0.0405994i
\(951\) −39.7931 + 22.9746i −1.29038 + 0.745001i
\(952\) −22.9915 20.5128i −0.745159 0.664823i
\(953\) −46.1424 + 12.3638i −1.49470 + 0.400504i −0.911321 0.411697i \(-0.864936\pi\)
−0.583379 + 0.812200i \(0.698270\pi\)
\(954\) 39.9982 49.5473i 1.29499 1.60415i
\(955\) −0.416270 0.225502i −0.0134702 0.00729706i
\(956\) 14.8096 46.0545i 0.478975 1.48951i
\(957\) 1.50654 1.50654i 0.0486995 0.0486995i
\(958\) 0.292837 0.660420i 0.00946115 0.0213372i
\(959\) 9.92693 + 17.1939i 0.320557 + 0.555222i
\(960\) −51.5073 + 21.9449i −1.66239 + 0.708270i
\(961\) −12.5428 −0.404605
\(962\) −1.08898 20.6923i −0.0351101 0.667147i
\(963\) 30.5440 30.5440i 0.984266 0.984266i
\(964\) 1.76272 + 1.94578i 0.0567734 + 0.0626695i
\(965\) −5.16412 + 21.6010i −0.166239 + 0.695359i
\(966\) 22.6464 + 58.7292i 0.728635 + 1.88958i
\(967\) −3.10967 3.10967i −0.100000 0.100000i 0.655337 0.755337i \(-0.272527\pi\)
−0.755337 + 0.655337i \(0.772527\pi\)
\(968\) −6.32136 + 30.4203i −0.203176 + 0.977747i
\(969\) 14.1658 + 8.17861i 0.455070 + 0.262735i
\(970\) 3.83669 5.02576i 0.123189 0.161368i
\(971\) 38.4591 + 22.2044i 1.23421 + 0.712573i 0.967905 0.251316i \(-0.0808632\pi\)
0.266307 + 0.963888i \(0.414197\pi\)
\(972\) 33.7996 + 1.66846i 1.08412 + 0.0535159i
\(973\) 7.88222 29.4168i 0.252692 0.943061i
\(974\) −16.3524 13.2009i −0.523965 0.422983i
\(975\) 48.8810 + 28.1817i 1.56544 + 0.902535i
\(976\) −11.9214 + 5.39475i −0.381595 + 0.172682i
\(977\) −53.0077 14.2034i −1.69587 0.454406i −0.723974 0.689827i \(-0.757687\pi\)
−0.971894 + 0.235420i \(0.924353\pi\)
\(978\) −24.9715 + 18.2009i −0.798501 + 0.581999i
\(979\) −0.948597 + 1.64302i −0.0303173 + 0.0525111i
\(980\) −1.77551 7.26762i −0.0567167 0.232155i
\(981\) 15.0911 26.1385i 0.481821 0.834538i
\(982\) 15.1112 + 6.70046i 0.482217 + 0.213820i
\(983\) 6.17939 6.17939i 0.197092 0.197092i −0.601660 0.798752i \(-0.705494\pi\)
0.798752 + 0.601660i \(0.205494\pi\)
\(984\) 29.7127 + 45.3004i 0.947206 + 1.44413i
\(985\) 34.7254 + 8.30175i 1.10644 + 0.264516i
\(986\) −5.74300 + 36.6196i −0.182894 + 1.16621i
\(987\) −24.6934 24.6934i −0.785999 0.785999i
\(988\) −3.26040 7.28887i −0.103727 0.231890i
\(989\) 60.8394i 1.93458i
\(990\) 1.60881 + 2.08594i 0.0511313 + 0.0662954i
\(991\) 16.1873 9.34574i 0.514206 0.296877i −0.220355 0.975420i \(-0.570721\pi\)
0.734561 + 0.678543i \(0.237388\pi\)
\(992\) 37.3268 0.283372i 1.18513 0.00899708i
\(993\) 0.851420 + 0.851420i 0.0270190 + 0.0270190i
\(994\) −7.81634 20.2702i −0.247919 0.642932i
\(995\) −22.2110 + 41.0010i −0.704137 + 1.29982i
\(996\) 10.4311 + 48.3520i 0.330522 + 1.53209i
\(997\) −11.5514 43.1104i −0.365836 1.36532i −0.866284 0.499553i \(-0.833498\pi\)
0.500447 0.865767i \(-0.333169\pi\)
\(998\) −27.0966 37.1764i −0.857726 1.17680i
\(999\) 24.1370 + 41.8065i 0.763661 + 1.32270i
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 260.2.bj.c.3.13 yes 144
4.3 odd 2 inner 260.2.bj.c.3.6 144
5.2 odd 4 inner 260.2.bj.c.107.29 yes 144
13.9 even 3 inner 260.2.bj.c.243.14 yes 144
20.7 even 4 inner 260.2.bj.c.107.14 yes 144
52.35 odd 6 inner 260.2.bj.c.243.29 yes 144
65.22 odd 12 inner 260.2.bj.c.87.6 yes 144
260.87 even 12 inner 260.2.bj.c.87.13 yes 144
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
260.2.bj.c.3.6 144 4.3 odd 2 inner
260.2.bj.c.3.13 yes 144 1.1 even 1 trivial
260.2.bj.c.87.6 yes 144 65.22 odd 12 inner
260.2.bj.c.87.13 yes 144 260.87 even 12 inner
260.2.bj.c.107.14 yes 144 20.7 even 4 inner
260.2.bj.c.107.29 yes 144 5.2 odd 4 inner
260.2.bj.c.243.14 yes 144 13.9 even 3 inner
260.2.bj.c.243.29 yes 144 52.35 odd 6 inner