Properties

Label 287.2.s.a.16.17
Level $287$
Weight $2$
Character 287.16
Analytic conductor $2.292$
Analytic rank $0$
Dimension $208$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [287,2,Mod(16,287)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(287, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([10, 18]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("287.16");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 287 = 7 \cdot 41 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 287.s (of order \(15\), degree \(8\), 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: \(2.29170653801\)
Analytic rank: \(0\)
Dimension: \(208\)
Relative dimension: \(26\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 16.17
Character \(\chi\) \(=\) 287.16
Dual form 287.2.s.a.18.17

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.555807 + 0.617286i) q^{2} +(0.273386 + 0.473519i) q^{3} +(0.136936 - 1.30286i) q^{4} +(0.363286 - 0.161745i) q^{5} +(-0.140347 + 0.431943i) q^{6} +(0.688603 - 2.55457i) q^{7} +(2.22435 - 1.61609i) q^{8} +(1.35052 - 2.33917i) q^{9} +O(q^{10})\) \(q+(0.555807 + 0.617286i) q^{2} +(0.273386 + 0.473519i) q^{3} +(0.136936 - 1.30286i) q^{4} +(0.363286 - 0.161745i) q^{5} +(-0.140347 + 0.431943i) q^{6} +(0.688603 - 2.55457i) q^{7} +(2.22435 - 1.61609i) q^{8} +(1.35052 - 2.33917i) q^{9} +(0.301760 + 0.134352i) q^{10} +(-3.00257 - 1.33683i) q^{11} +(0.654366 - 0.291342i) q^{12} +(-1.71180 + 5.26837i) q^{13} +(1.95963 - 0.994782i) q^{14} +(0.175907 + 0.127804i) q^{15} +(-0.328920 - 0.0699141i) q^{16} +(0.376327 + 0.167552i) q^{17} +(2.19456 - 0.466469i) q^{18} +(4.96258 + 1.05483i) q^{19} +(-0.160985 - 0.495459i) q^{20} +(1.39789 - 0.372318i) q^{21} +(-0.843642 - 2.59646i) q^{22} +(4.87647 + 5.41587i) q^{23} +(1.37336 + 0.611457i) q^{24} +(-3.23984 + 3.59820i) q^{25} +(-4.20352 + 1.87153i) q^{26} +3.11717 q^{27} +(-3.23395 - 1.24697i) q^{28} +(0.893459 + 0.649136i) q^{29} +(0.0188787 + 0.179619i) q^{30} +(-4.60869 - 2.05192i) q^{31} +(-2.88911 - 5.00408i) q^{32} +(-0.187847 - 1.78724i) q^{33} +(0.105738 + 0.325428i) q^{34} +(-0.163030 - 1.03942i) q^{35} +(-2.86267 - 2.07985i) q^{36} +(-8.33400 + 3.71054i) q^{37} +(2.10710 + 3.64961i) q^{38} +(-2.96266 + 0.629732i) q^{39} +(0.546681 - 0.946880i) q^{40} +(5.96086 + 2.33840i) q^{41} +(1.00679 + 0.655963i) q^{42} +(0.919776 - 2.83078i) q^{43} +(-2.15286 + 3.72886i) q^{44} +(0.112275 - 1.06823i) q^{45} +(-0.632764 + 6.02035i) q^{46} +(5.88709 + 6.53828i) q^{47} +(-0.0568166 - 0.174864i) q^{48} +(-6.05165 - 3.51817i) q^{49} -4.02185 q^{50} +(0.0235438 + 0.224004i) q^{51} +(6.62954 + 2.95166i) q^{52} +(0.644847 - 6.13531i) q^{53} +(1.73255 + 1.92419i) q^{54} -1.30702 q^{55} +(-2.59671 - 6.79510i) q^{56} +(0.857220 + 2.63825i) q^{57} +(0.0958880 + 0.912314i) q^{58} +(2.24608 - 0.477419i) q^{59} +(0.190599 - 0.211681i) q^{60} +(-13.8802 - 2.95032i) q^{61} +(-1.29492 - 3.98535i) q^{62} +(-5.04560 - 5.06076i) q^{63} +(1.27534 - 3.92509i) q^{64} +(0.230262 + 2.19080i) q^{65} +(0.998834 - 1.10932i) q^{66} +(-1.30102 + 12.3783i) q^{67} +(0.269829 - 0.467357i) q^{68} +(-1.23136 + 3.78973i) q^{69} +(0.551005 - 0.678351i) q^{70} +(6.41704 - 4.66226i) q^{71} +(-0.776267 - 7.38569i) q^{72} +(0.361058 + 0.625371i) q^{73} +(-6.92256 - 3.08212i) q^{74} +(-2.58955 - 0.550425i) q^{75} +(2.05385 - 6.32110i) q^{76} +(-5.48260 + 6.74972i) q^{77} +(-2.03539 - 1.47880i) q^{78} +(-1.28211 + 2.22068i) q^{79} +(-0.130800 + 0.0278025i) q^{80} +(-3.19937 - 5.54146i) q^{81} +(1.86963 + 4.97926i) q^{82} -13.0686 q^{83} +(-0.293656 - 1.87224i) q^{84} +0.163815 q^{85} +(2.25862 - 1.00560i) q^{86} +(-0.0631187 + 0.600535i) q^{87} +(-8.83920 + 1.87883i) q^{88} +(8.49292 + 1.80523i) q^{89} +(0.721805 - 0.524422i) q^{90} +(12.2797 + 8.00072i) q^{91} +(7.72388 - 5.61173i) q^{92} +(-0.288329 - 2.74327i) q^{93} +(-0.763902 + 7.26804i) q^{94} +(1.97345 - 0.419469i) q^{95} +(1.57969 - 2.73610i) q^{96} +(1.57991 + 1.14787i) q^{97} +(-1.19183 - 5.69102i) q^{98} +(-7.18209 + 5.21810i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 208 q - 3 q^{2} - 8 q^{3} + 21 q^{4} - 7 q^{5} - 8 q^{6} - 6 q^{7} - 32 q^{8} - 92 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 208 q - 3 q^{2} - 8 q^{3} + 21 q^{4} - 7 q^{5} - 8 q^{6} - 6 q^{7} - 32 q^{8} - 92 q^{9} - 24 q^{10} + q^{11} + 19 q^{12} - 12 q^{13} - 62 q^{14} - 6 q^{15} + 21 q^{16} + 3 q^{17} + q^{19} - 48 q^{20} + 20 q^{21} - 68 q^{22} - 6 q^{23} - 18 q^{24} + 3 q^{25} + 15 q^{26} + 28 q^{27} - 11 q^{28} + 44 q^{29} - 5 q^{30} - 11 q^{31} - 6 q^{32} + 10 q^{33} - 108 q^{34} - 30 q^{35} + 66 q^{36} - 32 q^{37} - 10 q^{38} - 2 q^{39} + 70 q^{40} - 6 q^{41} + 24 q^{42} - 8 q^{43} - 68 q^{44} + 12 q^{45} - 66 q^{46} + 31 q^{47} + 110 q^{48} + 10 q^{49} + 64 q^{50} - 2 q^{51} + 69 q^{52} - 42 q^{53} + 43 q^{54} - 80 q^{55} + 10 q^{56} - 30 q^{57} - q^{58} - 29 q^{59} + 22 q^{60} - 9 q^{61} + 30 q^{62} + 54 q^{63} - 4 q^{64} - 14 q^{65} + 78 q^{66} + q^{67} - 42 q^{68} + 46 q^{69} - 179 q^{70} - 10 q^{71} - 13 q^{72} + 30 q^{73} + 61 q^{74} + 52 q^{75} + 118 q^{76} - 56 q^{77} - 94 q^{78} + 2 q^{79} - 17 q^{80} - 16 q^{81} - 21 q^{82} - 208 q^{83} - 33 q^{84} + 36 q^{85} + 39 q^{86} + 10 q^{87} + 24 q^{88} - 89 q^{89} + 242 q^{90} + 18 q^{91} - 10 q^{92} + 71 q^{93} + 81 q^{94} - 83 q^{95} - 64 q^{96} - 24 q^{97} + 26 q^{98} - 12 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).

\(n\) \(206\) \(211\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{3}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.555807 + 0.617286i 0.393015 + 0.436487i 0.906883 0.421382i \(-0.138455\pi\)
−0.513868 + 0.857869i \(0.671788\pi\)
\(3\) 0.273386 + 0.473519i 0.157840 + 0.273386i 0.934089 0.357039i \(-0.116214\pi\)
−0.776250 + 0.630426i \(0.782880\pi\)
\(4\) 0.136936 1.30286i 0.0684680 0.651430i
\(5\) 0.363286 0.161745i 0.162466 0.0723347i −0.323892 0.946094i \(-0.604992\pi\)
0.486359 + 0.873759i \(0.338325\pi\)
\(6\) −0.140347 + 0.431943i −0.0572963 + 0.176340i
\(7\) 0.688603 2.55457i 0.260268 0.965537i
\(8\) 2.22435 1.61609i 0.786427 0.571373i
\(9\) 1.35052 2.33917i 0.450173 0.779723i
\(10\) 0.301760 + 0.134352i 0.0954249 + 0.0424859i
\(11\) −3.00257 1.33683i −0.905308 0.403069i −0.0993573 0.995052i \(-0.531679\pi\)
−0.805951 + 0.591983i \(0.798345\pi\)
\(12\) 0.654366 0.291342i 0.188899 0.0841033i
\(13\) −1.71180 + 5.26837i −0.474767 + 1.46118i 0.371504 + 0.928431i \(0.378842\pi\)
−0.846271 + 0.532752i \(0.821158\pi\)
\(14\) 1.95963 0.994782i 0.523733 0.265867i
\(15\) 0.175907 + 0.127804i 0.0454190 + 0.0329988i
\(16\) −0.328920 0.0699141i −0.0822300 0.0174785i
\(17\) 0.376327 + 0.167552i 0.0912727 + 0.0406372i 0.451865 0.892086i \(-0.350759\pi\)
−0.360592 + 0.932723i \(0.617425\pi\)
\(18\) 2.19456 0.466469i 0.517264 0.109948i
\(19\) 4.96258 + 1.05483i 1.13849 + 0.241994i 0.738324 0.674447i \(-0.235618\pi\)
0.400170 + 0.916441i \(0.368951\pi\)
\(20\) −0.160985 0.495459i −0.0359972 0.110788i
\(21\) 1.39789 0.372318i 0.305045 0.0812464i
\(22\) −0.843642 2.59646i −0.179865 0.553567i
\(23\) 4.87647 + 5.41587i 1.01681 + 1.12929i 0.991566 + 0.129605i \(0.0413709\pi\)
0.0252479 + 0.999681i \(0.491962\pi\)
\(24\) 1.37336 + 0.611457i 0.280335 + 0.124813i
\(25\) −3.23984 + 3.59820i −0.647968 + 0.719641i
\(26\) −4.20352 + 1.87153i −0.824378 + 0.367037i
\(27\) 3.11717 0.599900
\(28\) −3.23395 1.24697i −0.611159 0.235654i
\(29\) 0.893459 + 0.649136i 0.165911 + 0.120541i 0.667643 0.744482i \(-0.267303\pi\)
−0.501732 + 0.865023i \(0.667303\pi\)
\(30\) 0.0188787 + 0.179619i 0.00344677 + 0.0327938i
\(31\) −4.60869 2.05192i −0.827745 0.368536i −0.0512707 0.998685i \(-0.516327\pi\)
−0.776474 + 0.630149i \(0.782994\pi\)
\(32\) −2.88911 5.00408i −0.510727 0.884605i
\(33\) −0.187847 1.78724i −0.0327000 0.311119i
\(34\) 0.105738 + 0.325428i 0.0181339 + 0.0558104i
\(35\) −0.163030 1.03942i −0.0275571 0.175694i
\(36\) −2.86267 2.07985i −0.477112 0.346642i
\(37\) −8.33400 + 3.71054i −1.37010 + 0.610009i −0.954137 0.299372i \(-0.903223\pi\)
−0.415965 + 0.909380i \(0.636556\pi\)
\(38\) 2.10710 + 3.64961i 0.341818 + 0.592045i
\(39\) −2.96266 + 0.629732i −0.474405 + 0.100838i
\(40\) 0.546681 0.946880i 0.0864379 0.149715i
\(41\) 5.96086 + 2.33840i 0.930930 + 0.365196i
\(42\) 1.00679 + 0.655963i 0.155350 + 0.101217i
\(43\) 0.919776 2.83078i 0.140264 0.431690i −0.856107 0.516798i \(-0.827124\pi\)
0.996372 + 0.0851086i \(0.0271237\pi\)
\(44\) −2.15286 + 3.72886i −0.324556 + 0.562147i
\(45\) 0.112275 1.06823i 0.0167370 0.159242i
\(46\) −0.632764 + 6.02035i −0.0932960 + 0.887652i
\(47\) 5.88709 + 6.53828i 0.858721 + 0.953706i 0.999339 0.0363581i \(-0.0115757\pi\)
−0.140618 + 0.990064i \(0.544909\pi\)
\(48\) −0.0568166 0.174864i −0.00820077 0.0252394i
\(49\) −6.05165 3.51817i −0.864522 0.502596i
\(50\) −4.02185 −0.568775
\(51\) 0.0235438 + 0.224004i 0.00329679 + 0.0313669i
\(52\) 6.62954 + 2.95166i 0.919352 + 0.409322i
\(53\) 0.644847 6.13531i 0.0885766 0.842750i −0.856554 0.516057i \(-0.827399\pi\)
0.945131 0.326693i \(-0.105934\pi\)
\(54\) 1.73255 + 1.92419i 0.235770 + 0.261849i
\(55\) −1.30702 −0.176238
\(56\) −2.59671 6.79510i −0.347000 0.908034i
\(57\) 0.857220 + 2.63825i 0.113542 + 0.349445i
\(58\) 0.0958880 + 0.912314i 0.0125907 + 0.119793i
\(59\) 2.24608 0.477419i 0.292415 0.0621546i −0.0593687 0.998236i \(-0.518909\pi\)
0.351783 + 0.936081i \(0.385575\pi\)
\(60\) 0.190599 0.211681i 0.0246062 0.0273279i
\(61\) −13.8802 2.95032i −1.77717 0.377750i −0.801675 0.597760i \(-0.796058\pi\)
−0.975498 + 0.220010i \(0.929391\pi\)
\(62\) −1.29492 3.98535i −0.164455 0.506140i
\(63\) −5.04560 5.06076i −0.635685 0.637595i
\(64\) 1.27534 3.92509i 0.159417 0.490636i
\(65\) 0.230262 + 2.19080i 0.0285605 + 0.271735i
\(66\) 0.998834 1.10932i 0.122948 0.136548i
\(67\) −1.30102 + 12.3783i −0.158945 + 1.51226i 0.566550 + 0.824028i \(0.308278\pi\)
−0.725494 + 0.688228i \(0.758389\pi\)
\(68\) 0.269829 0.467357i 0.0327216 0.0566754i
\(69\) −1.23136 + 3.78973i −0.148238 + 0.456229i
\(70\) 0.551005 0.678351i 0.0658577 0.0810785i
\(71\) 6.41704 4.66226i 0.761563 0.553308i −0.137826 0.990456i \(-0.544012\pi\)
0.899389 + 0.437149i \(0.144012\pi\)
\(72\) −0.776267 7.38569i −0.0914840 0.870412i
\(73\) 0.361058 + 0.625371i 0.0422587 + 0.0731942i 0.886381 0.462956i \(-0.153211\pi\)
−0.844122 + 0.536150i \(0.819878\pi\)
\(74\) −6.92256 3.08212i −0.804731 0.358289i
\(75\) −2.58955 0.550425i −0.299015 0.0635576i
\(76\) 2.05385 6.32110i 0.235593 0.725080i
\(77\) −5.48260 + 6.74972i −0.624800 + 0.769202i
\(78\) −2.03539 1.47880i −0.230463 0.167441i
\(79\) −1.28211 + 2.22068i −0.144249 + 0.249846i −0.929092 0.369848i \(-0.879410\pi\)
0.784844 + 0.619694i \(0.212743\pi\)
\(80\) −0.130800 + 0.0278025i −0.0146239 + 0.00310841i
\(81\) −3.19937 5.54146i −0.355485 0.615718i
\(82\) 1.86963 + 4.97926i 0.206466 + 0.549867i
\(83\) −13.0686 −1.43446 −0.717230 0.696836i \(-0.754590\pi\)
−0.717230 + 0.696836i \(0.754590\pi\)
\(84\) −0.293656 1.87224i −0.0320405 0.204278i
\(85\) 0.163815 0.0177682
\(86\) 2.25862 1.00560i 0.243553 0.108437i
\(87\) −0.0631187 + 0.600535i −0.00676704 + 0.0643841i
\(88\) −8.83920 + 1.87883i −0.942261 + 0.200284i
\(89\) 8.49292 + 1.80523i 0.900248 + 0.191354i 0.634713 0.772748i \(-0.281118\pi\)
0.265535 + 0.964101i \(0.414452\pi\)
\(90\) 0.721805 0.524422i 0.0760849 0.0552789i
\(91\) 12.2797 + 8.00072i 1.28726 + 0.838704i
\(92\) 7.72388 5.61173i 0.805270 0.585063i
\(93\) −0.288329 2.74327i −0.0298984 0.284464i
\(94\) −0.763902 + 7.26804i −0.0787905 + 0.749641i
\(95\) 1.97345 0.419469i 0.202472 0.0430367i
\(96\) 1.57969 2.73610i 0.161226 0.279252i
\(97\) 1.57991 + 1.14787i 0.160416 + 0.116549i 0.665097 0.746757i \(-0.268390\pi\)
−0.504682 + 0.863306i \(0.668390\pi\)
\(98\) −1.19183 5.69102i −0.120393 0.574880i
\(99\) −7.18209 + 5.21810i −0.721828 + 0.524438i
\(100\) 4.24431 + 4.71378i 0.424431 + 0.471378i
\(101\) 0.0671566 0.0745850i 0.00668233 0.00742148i −0.739794 0.672833i \(-0.765077\pi\)
0.746477 + 0.665412i \(0.231744\pi\)
\(102\) −0.125189 + 0.139036i −0.0123956 + 0.0137667i
\(103\) 15.0281 + 3.19433i 1.48077 + 0.314747i 0.876254 0.481849i \(-0.160035\pi\)
0.604513 + 0.796595i \(0.293368\pi\)
\(104\) 4.70650 + 14.4851i 0.461510 + 1.42038i
\(105\) 0.447614 0.361360i 0.0436827 0.0352652i
\(106\) 4.14565 3.01199i 0.402662 0.292551i
\(107\) −11.5314 2.45107i −1.11478 0.236954i −0.386539 0.922273i \(-0.626329\pi\)
−0.728243 + 0.685319i \(0.759663\pi\)
\(108\) 0.426854 4.06124i 0.0410740 0.390793i
\(109\) −2.84646 4.93021i −0.272641 0.472229i 0.696896 0.717172i \(-0.254564\pi\)
−0.969537 + 0.244944i \(0.921231\pi\)
\(110\) −0.726449 0.806803i −0.0692641 0.0769256i
\(111\) −4.03542 2.93190i −0.383025 0.278284i
\(112\) −0.405096 + 0.792106i −0.0382780 + 0.0748470i
\(113\) 7.59120 5.51533i 0.714120 0.518838i −0.170380 0.985378i \(-0.554500\pi\)
0.884500 + 0.466540i \(0.154500\pi\)
\(114\) −1.15211 + 1.99551i −0.107905 + 0.186897i
\(115\) 2.64754 + 1.17876i 0.246885 + 0.109920i
\(116\) 0.968080 1.07516i 0.0898839 0.0998262i
\(117\) 10.0118 + 11.1192i 0.925590 + 1.02797i
\(118\) 1.54309 + 1.12112i 0.142053 + 0.103208i
\(119\) 0.687162 0.845977i 0.0629920 0.0775506i
\(120\) 0.597821 0.0545733
\(121\) −0.132141 0.146757i −0.0120128 0.0133416i
\(122\) −5.89350 10.2078i −0.533572 0.924175i
\(123\) 0.522343 + 3.46187i 0.0470981 + 0.312146i
\(124\) −3.30446 + 5.72349i −0.296749 + 0.513985i
\(125\) −1.20942 + 3.72222i −0.108174 + 0.332925i
\(126\) 0.319556 5.92738i 0.0284683 0.528053i
\(127\) 10.2577 + 7.45264i 0.910222 + 0.661315i 0.941071 0.338209i \(-0.109821\pi\)
−0.0308487 + 0.999524i \(0.509821\pi\)
\(128\) −7.42558 + 3.30608i −0.656335 + 0.292219i
\(129\) 1.59188 0.338365i 0.140157 0.0297914i
\(130\) −1.22437 + 1.35980i −0.107384 + 0.119262i
\(131\) 1.10568 + 10.5199i 0.0966040 + 0.919125i 0.930275 + 0.366864i \(0.119568\pi\)
−0.833671 + 0.552262i \(0.813765\pi\)
\(132\) −2.35425 −0.204911
\(133\) 6.11188 11.9509i 0.529967 1.03627i
\(134\) −8.36410 + 6.07687i −0.722548 + 0.524962i
\(135\) 1.13243 0.504188i 0.0974637 0.0433936i
\(136\) 1.10786 0.235483i 0.0949983 0.0201925i
\(137\) −8.53925 14.7904i −0.729557 1.26363i −0.957071 0.289855i \(-0.906393\pi\)
0.227513 0.973775i \(-0.426940\pi\)
\(138\) −3.02374 + 1.34626i −0.257398 + 0.114601i
\(139\) −0.191729 0.590081i −0.0162622 0.0500500i 0.942596 0.333935i \(-0.108377\pi\)
−0.958858 + 0.283885i \(0.908377\pi\)
\(140\) −1.37654 + 0.0700712i −0.116339 + 0.00592210i
\(141\) −1.48655 + 4.57513i −0.125190 + 0.385295i
\(142\) 6.44458 + 1.36984i 0.540817 + 0.114954i
\(143\) 12.1827 13.5303i 1.01877 1.13146i
\(144\) −0.607754 + 0.674979i −0.0506462 + 0.0562483i
\(145\) 0.429576 + 0.0913091i 0.0356743 + 0.00758281i
\(146\) −0.185354 + 0.570462i −0.0153400 + 0.0472118i
\(147\) 0.0114814 3.82739i 0.000946967 0.315678i
\(148\) 3.69308 + 11.3661i 0.303570 + 0.934292i
\(149\) 8.89561 3.96058i 0.728757 0.324463i −0.00860357 0.999963i \(-0.502739\pi\)
0.737360 + 0.675500i \(0.236072\pi\)
\(150\) −1.09952 1.90442i −0.0897753 0.155495i
\(151\) −3.13154 + 0.665629i −0.254841 + 0.0541682i −0.333561 0.942729i \(-0.608250\pi\)
0.0787195 + 0.996897i \(0.474917\pi\)
\(152\) 12.7432 5.67365i 1.03361 0.460193i
\(153\) 0.900168 0.654010i 0.0727743 0.0528736i
\(154\) −7.21378 + 0.367209i −0.581303 + 0.0295906i
\(155\) −2.00616 −0.161139
\(156\) 0.414758 + 3.94616i 0.0332072 + 0.315946i
\(157\) −9.09821 + 10.1046i −0.726116 + 0.806433i −0.987302 0.158855i \(-0.949220\pi\)
0.261186 + 0.965289i \(0.415886\pi\)
\(158\) −2.08340 + 0.442840i −0.165746 + 0.0352305i
\(159\) 3.08148 1.37196i 0.244377 0.108804i
\(160\) −1.85896 1.35061i −0.146964 0.106775i
\(161\) 17.1932 8.72789i 1.35501 0.687854i
\(162\) 1.64244 5.05491i 0.129042 0.397151i
\(163\) 11.5751 20.0486i 0.906628 1.57033i 0.0879116 0.996128i \(-0.471981\pi\)
0.818717 0.574198i \(-0.194686\pi\)
\(164\) 3.86286 7.44596i 0.301639 0.581432i
\(165\) −0.357320 0.618897i −0.0278174 0.0481811i
\(166\) −7.26359 8.06704i −0.563764 0.626124i
\(167\) 12.1504 0.940228 0.470114 0.882606i \(-0.344213\pi\)
0.470114 + 0.882606i \(0.344213\pi\)
\(168\) 2.50771 3.08728i 0.193474 0.238189i
\(169\) −14.3083 10.3956i −1.10064 0.799658i
\(170\) 0.0910495 + 0.101121i 0.00698318 + 0.00775560i
\(171\) 9.16948 10.1837i 0.701208 0.778770i
\(172\) −3.56216 1.58597i −0.271612 0.120929i
\(173\) −7.07570 + 12.2555i −0.537955 + 0.931766i 0.461059 + 0.887370i \(0.347470\pi\)
−0.999014 + 0.0443964i \(0.985864\pi\)
\(174\) −0.405784 + 0.294819i −0.0307624 + 0.0223502i
\(175\) 6.96090 + 10.7541i 0.526195 + 0.812936i
\(176\) 0.894142 + 0.649632i 0.0673985 + 0.0489678i
\(177\) 0.840115 + 0.933042i 0.0631469 + 0.0701317i
\(178\) 3.60608 + 6.24592i 0.270287 + 0.468152i
\(179\) −1.20235 + 11.4396i −0.0898677 + 0.855034i 0.853010 + 0.521895i \(0.174775\pi\)
−0.942878 + 0.333139i \(0.891892\pi\)
\(180\) −1.37638 0.292558i −0.102589 0.0218060i
\(181\) −14.2209 + 10.3321i −1.05703 + 0.767978i −0.973537 0.228531i \(-0.926608\pi\)
−0.0834938 + 0.996508i \(0.526608\pi\)
\(182\) 1.88639 + 12.0269i 0.139829 + 0.891495i
\(183\) −2.39762 7.37910i −0.177237 0.545479i
\(184\) 19.5995 + 4.16600i 1.44489 + 0.307122i
\(185\) −2.42746 + 2.69597i −0.178471 + 0.198212i
\(186\) 1.53313 1.70271i 0.112414 0.124849i
\(187\) −0.905959 1.00617i −0.0662503 0.0735784i
\(188\) 9.32462 6.77473i 0.680067 0.494098i
\(189\) 2.14650 7.96304i 0.156135 0.579226i
\(190\) 1.35579 + 0.985038i 0.0983593 + 0.0714622i
\(191\) 5.26821 9.12481i 0.381194 0.660248i −0.610039 0.792371i \(-0.708846\pi\)
0.991233 + 0.132124i \(0.0421796\pi\)
\(192\) 2.20727 0.469169i 0.159296 0.0338594i
\(193\) −1.74008 + 16.5558i −0.125254 + 1.19171i 0.733632 + 0.679546i \(0.237823\pi\)
−0.858886 + 0.512166i \(0.828843\pi\)
\(194\) 0.169560 + 1.61325i 0.0121737 + 0.115825i
\(195\) −0.974435 + 0.707969i −0.0697808 + 0.0506987i
\(196\) −5.41237 + 7.40269i −0.386598 + 0.528764i
\(197\) −4.92703 + 3.57970i −0.351036 + 0.255043i −0.749304 0.662227i \(-0.769612\pi\)
0.398267 + 0.917269i \(0.369612\pi\)
\(198\) −7.21292 1.53315i −0.512600 0.108956i
\(199\) −17.4813 + 3.71577i −1.23922 + 0.263404i −0.780488 0.625171i \(-0.785029\pi\)
−0.458731 + 0.888575i \(0.651696\pi\)
\(200\) −1.39153 + 13.2395i −0.0983961 + 0.936176i
\(201\) −6.21707 + 2.76802i −0.438518 + 0.195241i
\(202\) 0.0833664 0.00586564
\(203\) 2.27350 1.83541i 0.159568 0.128820i
\(204\) 0.295070 0.0206591
\(205\) 2.54372 0.114634i 0.177661 0.00800642i
\(206\) 6.38093 + 11.0521i 0.444581 + 0.770036i
\(207\) 19.2544 4.09265i 1.33827 0.284459i
\(208\) 0.931378 1.61319i 0.0645795 0.111855i
\(209\) −13.4904 9.80131i −0.933147 0.677971i
\(210\) 0.471850 + 0.0754593i 0.0325607 + 0.00520719i
\(211\) 2.90006 8.92546i 0.199648 0.614454i −0.800243 0.599676i \(-0.795296\pi\)
0.999891 0.0147775i \(-0.00470398\pi\)
\(212\) −7.90515 1.68029i −0.542928 0.115403i
\(213\) 3.96200 + 1.76400i 0.271472 + 0.120867i
\(214\) −4.89621 8.48049i −0.334698 0.579715i
\(215\) −0.123724 1.17715i −0.00843788 0.0802810i
\(216\) 6.93369 5.03762i 0.471778 0.342767i
\(217\) −8.41533 + 10.3603i −0.571270 + 0.703300i
\(218\) 1.46127 4.49733i 0.0989697 0.304597i
\(219\) −0.197417 + 0.341936i −0.0133402 + 0.0231059i
\(220\) −0.178978 + 1.70286i −0.0120667 + 0.114807i
\(221\) −1.52692 + 1.69582i −0.102712 + 0.114073i
\(222\) −0.433090 4.12058i −0.0290671 0.276555i
\(223\) 7.49061 23.0537i 0.501608 1.54379i −0.304790 0.952419i \(-0.598586\pi\)
0.806399 0.591372i \(-0.201414\pi\)
\(224\) −14.7727 + 3.93460i −0.987045 + 0.262892i
\(225\) 4.04134 + 12.4380i 0.269423 + 0.829198i
\(226\) 7.62377 + 1.62048i 0.507126 + 0.107793i
\(227\) 3.82453 4.24758i 0.253843 0.281922i −0.602732 0.797944i \(-0.705921\pi\)
0.856575 + 0.516022i \(0.172588\pi\)
\(228\) 3.55466 0.755566i 0.235413 0.0500386i
\(229\) 0.323685 + 3.07966i 0.0213897 + 0.203510i 0.999998 0.00222506i \(-0.000708258\pi\)
−0.978608 + 0.205735i \(0.934042\pi\)
\(230\) 0.743889 + 2.28946i 0.0490506 + 0.150962i
\(231\) −4.69499 0.750834i −0.308908 0.0494012i
\(232\) 3.03643 0.199351
\(233\) −15.3712 17.0714i −1.00700 1.11839i −0.992956 0.118485i \(-0.962196\pi\)
−0.0140441 0.999901i \(-0.504471\pi\)
\(234\) −1.29912 + 12.3603i −0.0849260 + 0.808017i
\(235\) 3.19623 + 1.42305i 0.208499 + 0.0928298i
\(236\) −0.314441 2.99170i −0.0204683 0.194743i
\(237\) −1.40205 −0.0910726
\(238\) 0.904139 0.0460242i 0.0586066 0.00298331i
\(239\) 0.577864 + 1.77848i 0.0373789 + 0.115040i 0.968005 0.250931i \(-0.0807367\pi\)
−0.930626 + 0.365972i \(0.880737\pi\)
\(240\) −0.0489240 0.0543357i −0.00315803 0.00350735i
\(241\) 0.631531 6.00862i 0.0406805 0.387049i −0.955171 0.296055i \(-0.904329\pi\)
0.995851 0.0909942i \(-0.0290045\pi\)
\(242\) 0.0171464 0.163137i 0.00110221 0.0104869i
\(243\) 6.42509 11.1286i 0.412170 0.713899i
\(244\) −5.74455 + 17.6799i −0.367757 + 1.13184i
\(245\) −2.76753 0.299275i −0.176811 0.0191200i
\(246\) −1.84664 + 2.24657i −0.117738 + 0.143236i
\(247\) −14.0522 + 24.3391i −0.894118 + 1.54866i
\(248\) −13.5674 + 2.88385i −0.861532 + 0.183124i
\(249\) −3.57277 6.18821i −0.226415 0.392162i
\(250\) −2.96988 + 1.32228i −0.187832 + 0.0836281i
\(251\) −18.2939 13.2913i −1.15470 0.838941i −0.165604 0.986192i \(-0.552958\pi\)
−0.989099 + 0.147251i \(0.952958\pi\)
\(252\) −7.28438 + 5.88071i −0.458873 + 0.370450i
\(253\) −7.40183 22.7805i −0.465349 1.43220i
\(254\) 1.10088 + 10.4742i 0.0690753 + 0.657207i
\(255\) 0.0447848 + 0.0775695i 0.00280453 + 0.00485759i
\(256\) −13.7085 6.10344i −0.856784 0.381465i
\(257\) −2.74494 26.1163i −0.171224 1.62909i −0.656216 0.754573i \(-0.727844\pi\)
0.484992 0.874519i \(-0.338823\pi\)
\(258\) 1.09365 + 0.794581i 0.0680875 + 0.0494685i
\(259\) 3.74001 + 23.8449i 0.232393 + 1.48165i
\(260\) 2.88584 0.178972
\(261\) 2.72507 1.21328i 0.168678 0.0751001i
\(262\) −5.87922 + 6.52954i −0.363220 + 0.403396i
\(263\) 23.5436 + 10.4823i 1.45176 + 0.646365i 0.972837 0.231492i \(-0.0743607\pi\)
0.478923 + 0.877857i \(0.341027\pi\)
\(264\) −3.30618 3.67188i −0.203481 0.225989i
\(265\) −0.758094 2.33317i −0.0465693 0.143326i
\(266\) 10.7741 2.86961i 0.660605 0.175947i
\(267\) 1.46704 + 4.51509i 0.0897814 + 0.276319i
\(268\) 15.9491 + 3.39009i 0.974246 + 0.207082i
\(269\) −15.2968 + 3.25144i −0.932663 + 0.198244i −0.649094 0.760708i \(-0.724852\pi\)
−0.283569 + 0.958952i \(0.591518\pi\)
\(270\) 0.940638 + 0.418799i 0.0572454 + 0.0254873i
\(271\) −25.4263 5.40452i −1.54454 0.328301i −0.644668 0.764463i \(-0.723004\pi\)
−0.899868 + 0.436161i \(0.856338\pi\)
\(272\) −0.112067 0.0814216i −0.00679508 0.00493691i
\(273\) −0.431400 + 8.00195i −0.0261095 + 0.484300i
\(274\) 4.38374 13.4918i 0.264832 0.815068i
\(275\) 14.5380 6.47274i 0.876675 0.390321i
\(276\) 4.76886 + 2.12324i 0.287052 + 0.127804i
\(277\) 22.1123 + 9.84501i 1.32860 + 0.591529i 0.943508 0.331350i \(-0.107504\pi\)
0.385089 + 0.922880i \(0.374171\pi\)
\(278\) 0.257685 0.446323i 0.0154549 0.0267687i
\(279\) −11.0239 + 8.00934i −0.659984 + 0.479507i
\(280\) −2.04242 2.04856i −0.122058 0.122425i
\(281\) −5.43173 + 16.7172i −0.324030 + 0.997262i 0.647846 + 0.761771i \(0.275670\pi\)
−0.971877 + 0.235491i \(0.924330\pi\)
\(282\) −3.65040 + 1.62526i −0.217378 + 0.0967829i
\(283\) 2.18049 20.7460i 0.129617 1.23322i −0.715491 0.698622i \(-0.753797\pi\)
0.845107 0.534597i \(-0.179537\pi\)
\(284\) −5.19554 8.99894i −0.308299 0.533989i
\(285\) 0.738141 + 0.819789i 0.0437237 + 0.0485601i
\(286\) 15.1233 0.894257
\(287\) 10.0783 13.6172i 0.594902 0.803799i
\(288\) −15.6072 −0.919663
\(289\) −11.2617 12.5074i −0.662451 0.735727i
\(290\) 0.182397 + 0.315921i 0.0107107 + 0.0185515i
\(291\) −0.111614 + 1.06193i −0.00654290 + 0.0622515i
\(292\) 0.864213 0.384772i 0.0505742 0.0225171i
\(293\) −4.50952 + 13.8789i −0.263449 + 0.810812i 0.728598 + 0.684942i \(0.240172\pi\)
−0.992047 + 0.125870i \(0.959828\pi\)
\(294\) 2.36898 2.12020i 0.138162 0.123653i
\(295\) 0.738749 0.536732i 0.0430116 0.0312498i
\(296\) −12.5412 + 21.7220i −0.728943 + 1.26257i
\(297\) −9.35952 4.16713i −0.543095 0.241801i
\(298\) 7.38905 + 3.28982i 0.428036 + 0.190574i
\(299\) −36.8803 + 16.4202i −2.13284 + 0.949603i
\(300\) −1.07173 + 3.29844i −0.0618763 + 0.190436i
\(301\) −6.59806 4.29891i −0.380306 0.247785i
\(302\) −2.15142 1.56309i −0.123800 0.0899460i
\(303\) 0.0536771 + 0.0114094i 0.00308367 + 0.000655454i
\(304\) −1.55854 0.693909i −0.0893887 0.0397984i
\(305\) −5.51967 + 1.17324i −0.316055 + 0.0671796i
\(306\) 0.904031 + 0.192158i 0.0516800 + 0.0109849i
\(307\) 0.172863 + 0.532016i 0.00986579 + 0.0303638i 0.955868 0.293796i \(-0.0949185\pi\)
−0.946002 + 0.324160i \(0.894919\pi\)
\(308\) 8.04318 + 8.06734i 0.458302 + 0.459679i
\(309\) 2.59591 + 7.98940i 0.147676 + 0.454501i
\(310\) −1.11504 1.23837i −0.0633299 0.0703350i
\(311\) 3.12254 + 1.39024i 0.177063 + 0.0788335i 0.493354 0.869829i \(-0.335771\pi\)
−0.316291 + 0.948662i \(0.602437\pi\)
\(312\) −5.57229 + 6.18866i −0.315469 + 0.350364i
\(313\) −8.59493 + 3.82671i −0.485814 + 0.216298i −0.635002 0.772510i \(-0.719001\pi\)
0.149188 + 0.988809i \(0.452334\pi\)
\(314\) −11.2943 −0.637372
\(315\) −2.65155 1.02240i −0.149398 0.0576057i
\(316\) 2.71767 + 1.97450i 0.152881 + 0.111074i
\(317\) −2.33039 22.1721i −0.130888 1.24531i −0.840927 0.541149i \(-0.817989\pi\)
0.710039 0.704162i \(-0.248677\pi\)
\(318\) 2.55960 + 1.13961i 0.143535 + 0.0639061i
\(319\) −1.81489 3.14347i −0.101614 0.176001i
\(320\) −0.171552 1.63221i −0.00959006 0.0912433i
\(321\) −1.99190 6.13043i −0.111177 0.342167i
\(322\) 14.9437 + 5.76207i 0.832779 + 0.321108i
\(323\) 1.69081 + 1.22845i 0.0940794 + 0.0683527i
\(324\) −7.65786 + 3.40950i −0.425437 + 0.189417i
\(325\) −13.4107 23.2281i −0.743893 1.28846i
\(326\) 18.8092 3.99802i 1.04175 0.221430i
\(327\) 1.55637 2.69571i 0.0860673 0.149073i
\(328\) 17.0381 4.43185i 0.940772 0.244708i
\(329\) 20.7564 10.5367i 1.14433 0.580907i
\(330\) 0.183435 0.564556i 0.0100978 0.0310778i
\(331\) 1.78122 3.08517i 0.0979050 0.169576i −0.812912 0.582386i \(-0.802119\pi\)
0.910817 + 0.412810i \(0.135453\pi\)
\(332\) −1.78956 + 17.0265i −0.0982147 + 0.934451i
\(333\) −2.57566 + 24.5058i −0.141145 + 1.34291i
\(334\) 6.75329 + 7.50029i 0.369524 + 0.410398i
\(335\) 1.52950 + 4.70731i 0.0835654 + 0.257188i
\(336\) −0.485825 + 0.0247304i −0.0265039 + 0.00134915i
\(337\) −13.3997 −0.729926 −0.364963 0.931022i \(-0.618918\pi\)
−0.364963 + 0.931022i \(0.618918\pi\)
\(338\) −1.53560 14.6102i −0.0835254 0.794691i
\(339\) 4.68694 + 2.08676i 0.254560 + 0.113337i
\(340\) 0.0224322 0.213428i 0.00121656 0.0115748i
\(341\) 11.0948 + 12.3221i 0.600819 + 0.667277i
\(342\) 11.3827 0.615508
\(343\) −13.1546 + 13.0367i −0.710281 + 0.703918i
\(344\) −2.52888 7.78308i −0.136348 0.419636i
\(345\) 0.165636 + 1.57592i 0.00891753 + 0.0848447i
\(346\) −11.4979 + 2.44394i −0.618128 + 0.131387i
\(347\) 10.8036 11.9986i 0.579966 0.644117i −0.379750 0.925089i \(-0.623990\pi\)
0.959716 + 0.280972i \(0.0906568\pi\)
\(348\) 0.773769 + 0.164470i 0.0414784 + 0.00881650i
\(349\) 5.83378 + 17.9545i 0.312275 + 0.961084i 0.976862 + 0.213873i \(0.0686078\pi\)
−0.664586 + 0.747211i \(0.731392\pi\)
\(350\) −2.76946 + 10.2741i −0.148034 + 0.549173i
\(351\) −5.33597 + 16.4224i −0.284813 + 0.876564i
\(352\) 1.98514 + 18.8873i 0.105808 + 1.00670i
\(353\) 0.201564 0.223859i 0.0107281 0.0119148i −0.737757 0.675067i \(-0.764115\pi\)
0.748485 + 0.663152i \(0.230782\pi\)
\(354\) −0.109012 + 1.03718i −0.00579394 + 0.0551256i
\(355\) 1.57712 2.73166i 0.0837050 0.144981i
\(356\) 3.51494 10.8179i 0.186292 0.573347i
\(357\) 0.588447 + 0.0941058i 0.0311439 + 0.00498061i
\(358\) −7.72976 + 5.61600i −0.408531 + 0.296815i
\(359\) 0.787223 + 7.48992i 0.0415480 + 0.395303i 0.995457 + 0.0952082i \(0.0303517\pi\)
−0.953909 + 0.300095i \(0.902982\pi\)
\(360\) −1.47661 2.55756i −0.0778241 0.134795i
\(361\) 6.15717 + 2.74135i 0.324061 + 0.144281i
\(362\) −14.2819 3.03572i −0.750641 0.159554i
\(363\) 0.0333669 0.102693i 0.00175131 0.00538996i
\(364\) 12.1054 14.9031i 0.634493 0.781135i
\(365\) 0.232318 + 0.168789i 0.0121601 + 0.00883482i
\(366\) 3.22241 5.58137i 0.168438 0.291743i
\(367\) −5.42856 + 1.15388i −0.283369 + 0.0602319i −0.347403 0.937716i \(-0.612937\pi\)
0.0640347 + 0.997948i \(0.479603\pi\)
\(368\) −1.22532 2.12232i −0.0638744 0.110634i
\(369\) 13.5202 10.7854i 0.703832 0.561466i
\(370\) −3.01339 −0.156659
\(371\) −15.2290 5.87210i −0.790652 0.304864i
\(372\) −3.61358 −0.187355
\(373\) 7.44237 3.31356i 0.385352 0.171570i −0.204912 0.978780i \(-0.565691\pi\)
0.590263 + 0.807211i \(0.299024\pi\)
\(374\) 0.117556 1.11847i 0.00607868 0.0578348i
\(375\) −2.09318 + 0.444920i −0.108091 + 0.0229755i
\(376\) 23.6614 + 5.02938i 1.22024 + 0.259371i
\(377\) −4.94931 + 3.59588i −0.254902 + 0.185197i
\(378\) 6.10851 3.10091i 0.314188 0.159494i
\(379\) 10.4477 7.59068i 0.536661 0.389907i −0.286182 0.958175i \(-0.592386\pi\)
0.822843 + 0.568268i \(0.192386\pi\)
\(380\) −0.276274 2.62857i −0.0141725 0.134843i
\(381\) −0.724658 + 6.89466i −0.0371254 + 0.353224i
\(382\) 8.56072 1.81964i 0.438005 0.0931008i
\(383\) 5.70089 9.87423i 0.291302 0.504550i −0.682816 0.730590i \(-0.739245\pi\)
0.974118 + 0.226041i \(0.0725783\pi\)
\(384\) −3.59555 2.61232i −0.183485 0.133309i
\(385\) −0.900015 + 3.33886i −0.0458690 + 0.170164i
\(386\) −11.1868 + 8.12770i −0.569394 + 0.413689i
\(387\) −5.37949 5.97453i −0.273455 0.303703i
\(388\) 1.71187 1.90122i 0.0869068 0.0965198i
\(389\) 18.6722 20.7376i 0.946718 1.05144i −0.0518882 0.998653i \(-0.516524\pi\)
0.998606 0.0527837i \(-0.0168094\pi\)
\(390\) −0.978617 0.208011i −0.0495542 0.0105331i
\(391\) 0.927709 + 2.85520i 0.0469163 + 0.144393i
\(392\) −19.1467 + 1.95434i −0.967053 + 0.0987093i
\(393\) −4.67908 + 3.39955i −0.236028 + 0.171485i
\(394\) −4.94817 1.05177i −0.249285 0.0529872i
\(395\) −0.106588 + 1.01412i −0.00536302 + 0.0510257i
\(396\) 5.81496 + 10.0718i 0.292213 + 0.506127i
\(397\) −8.80799 9.78226i −0.442060 0.490958i 0.480400 0.877049i \(-0.340491\pi\)
−0.922460 + 0.386092i \(0.873825\pi\)
\(398\) −12.0099 8.72574i −0.602004 0.437382i
\(399\) 7.32988 0.373120i 0.366953 0.0186793i
\(400\) 1.31721 0.957012i 0.0658607 0.0478506i
\(401\) −2.31200 + 4.00450i −0.115456 + 0.199975i −0.917962 0.396669i \(-0.870166\pi\)
0.802506 + 0.596644i \(0.203499\pi\)
\(402\) −5.16415 2.29923i −0.257564 0.114675i
\(403\) 18.6994 20.7678i 0.931484 1.03452i
\(404\) −0.0879776 0.0977090i −0.00437705 0.00486121i
\(405\) −2.05859 1.49565i −0.102292 0.0743196i
\(406\) 2.39660 + 0.383269i 0.118941 + 0.0190213i
\(407\) 29.9838 1.48624
\(408\) 0.414380 + 0.460216i 0.0205149 + 0.0227841i
\(409\) 1.84689 + 3.19891i 0.0913229 + 0.158176i 0.908068 0.418823i \(-0.137557\pi\)
−0.816745 + 0.576999i \(0.804224\pi\)
\(410\) 1.48458 + 1.50649i 0.0733182 + 0.0744002i
\(411\) 4.66903 8.08700i 0.230306 0.398902i
\(412\) 6.21966 19.1421i 0.306421 0.943066i
\(413\) 0.327058 6.06652i 0.0160934 0.298514i
\(414\) 13.2281 + 9.61075i 0.650123 + 0.472342i
\(415\) −4.74762 + 2.11378i −0.233052 + 0.103761i
\(416\) 31.3089 6.65492i 1.53505 0.326284i
\(417\) 0.226999 0.252108i 0.0111162 0.0123458i
\(418\) −1.44782 13.7750i −0.0708150 0.673759i
\(419\) 16.3278 0.797665 0.398833 0.917024i \(-0.369415\pi\)
0.398833 + 0.917024i \(0.369415\pi\)
\(420\) −0.409507 0.632662i −0.0199819 0.0308707i
\(421\) 5.88843 4.27820i 0.286985 0.208506i −0.434974 0.900443i \(-0.643242\pi\)
0.721958 + 0.691937i \(0.243242\pi\)
\(422\) 7.12143 3.17067i 0.346666 0.154346i
\(423\) 23.2448 4.94083i 1.13020 0.240231i
\(424\) −8.48083 14.6892i −0.411865 0.713372i
\(425\) −1.82212 + 0.811261i −0.0883859 + 0.0393520i
\(426\) 1.11322 + 3.42613i 0.0539355 + 0.165997i
\(427\) −17.0947 + 33.4262i −0.827272 + 1.61761i
\(428\) −4.77247 + 14.6881i −0.230686 + 0.709978i
\(429\) 9.73742 + 2.06975i 0.470127 + 0.0999286i
\(430\) 0.657873 0.730642i 0.0317254 0.0352347i
\(431\) 11.0122 12.2303i 0.530438 0.589111i −0.417058 0.908880i \(-0.636939\pi\)
0.947495 + 0.319769i \(0.103605\pi\)
\(432\) −1.02530 0.217935i −0.0493298 0.0104854i
\(433\) 2.74487 8.44785i 0.131910 0.405978i −0.863186 0.504885i \(-0.831535\pi\)
0.995097 + 0.0989076i \(0.0315348\pi\)
\(434\) −11.0725 + 0.563635i −0.531499 + 0.0270554i
\(435\) 0.0742035 + 0.228375i 0.00355779 + 0.0109497i
\(436\) −6.81316 + 3.03341i −0.326291 + 0.145274i
\(437\) 18.4870 + 32.0205i 0.884355 + 1.53175i
\(438\) −0.320798 + 0.0681877i −0.0153283 + 0.00325814i
\(439\) 7.58678 3.37785i 0.362097 0.161216i −0.217621 0.976033i \(-0.569830\pi\)
0.579718 + 0.814817i \(0.303163\pi\)
\(440\) −2.90726 + 2.11225i −0.138598 + 0.100698i
\(441\) −16.4025 + 9.40448i −0.781070 + 0.447832i
\(442\) −1.89548 −0.0901586
\(443\) −2.62568 24.9817i −0.124750 1.18691i −0.860424 0.509579i \(-0.829801\pi\)
0.735674 0.677335i \(-0.236865\pi\)
\(444\) −4.37245 + 4.85610i −0.207507 + 0.230460i
\(445\) 3.37735 0.717877i 0.160102 0.0340306i
\(446\) 18.3941 8.18957i 0.870985 0.387787i
\(447\) 4.30735 + 3.12947i 0.203731 + 0.148019i
\(448\) −9.14872 5.96077i −0.432236 0.281620i
\(449\) −9.73887 + 29.9732i −0.459606 + 1.41452i 0.406036 + 0.913857i \(0.366911\pi\)
−0.865642 + 0.500664i \(0.833089\pi\)
\(450\) −5.43158 + 9.40778i −0.256047 + 0.443487i
\(451\) −14.7719 14.9899i −0.695579 0.705845i
\(452\) −6.14619 10.6455i −0.289092 0.500723i
\(453\) −1.17131 1.30087i −0.0550329 0.0611202i
\(454\) 4.74767 0.222819
\(455\) 5.75511 + 0.920371i 0.269804 + 0.0431476i
\(456\) 6.17040 + 4.48306i 0.288956 + 0.209939i
\(457\) 7.06219 + 7.84336i 0.330355 + 0.366897i 0.885324 0.464974i \(-0.153936\pi\)
−0.554969 + 0.831871i \(0.687270\pi\)
\(458\) −1.72113 + 1.91150i −0.0804229 + 0.0893187i
\(459\) 1.17308 + 0.522287i 0.0547545 + 0.0243783i
\(460\) 1.89831 3.28796i 0.0885090 0.153302i
\(461\) 27.8500 20.2342i 1.29710 0.942401i 0.297181 0.954821i \(-0.403954\pi\)
0.999923 + 0.0124203i \(0.00395361\pi\)
\(462\) −2.14603 3.31547i −0.0998423 0.154250i
\(463\) 1.42737 + 1.03704i 0.0663355 + 0.0481955i 0.620459 0.784239i \(-0.286946\pi\)
−0.554123 + 0.832435i \(0.686946\pi\)
\(464\) −0.248493 0.275979i −0.0115360 0.0128120i
\(465\) −0.548457 0.949955i −0.0254341 0.0440531i
\(466\) 1.99455 18.9768i 0.0923956 0.879085i
\(467\) 11.5249 + 2.44970i 0.533309 + 0.113358i 0.466692 0.884420i \(-0.345446\pi\)
0.0666179 + 0.997779i \(0.478779\pi\)
\(468\) 15.8578 11.5213i 0.733025 0.532574i
\(469\) 30.7255 + 11.8473i 1.41877 + 0.547058i
\(470\) 0.898057 + 2.76393i 0.0414243 + 0.127491i
\(471\) −7.27204 1.54572i −0.335078 0.0712230i
\(472\) 4.22452 4.69180i 0.194449 0.215958i
\(473\) −6.54595 + 7.27002i −0.300983 + 0.334276i
\(474\) −0.779266 0.865463i −0.0357929 0.0397520i
\(475\) −19.8734 + 14.4389i −0.911856 + 0.662502i
\(476\) −1.00809 1.01112i −0.0462058 0.0463446i
\(477\) −13.4807 9.79427i −0.617237 0.448449i
\(478\) −0.776652 + 1.34520i −0.0355232 + 0.0615280i
\(479\) −36.8680 + 7.83655i −1.68454 + 0.358061i −0.947986 0.318313i \(-0.896884\pi\)
−0.736558 + 0.676374i \(0.763550\pi\)
\(480\) 0.131327 1.24949i 0.00599423 0.0570313i
\(481\) −5.28236 50.2583i −0.240855 2.29158i
\(482\) 4.06005 2.94980i 0.184930 0.134360i
\(483\) 8.83320 + 5.75520i 0.401925 + 0.261871i
\(484\) −0.209299 + 0.152065i −0.00951358 + 0.00691202i
\(485\) 0.759623 + 0.161463i 0.0344927 + 0.00733165i
\(486\) 10.4406 2.21922i 0.473596 0.100666i
\(487\) 1.38184 13.1473i 0.0626169 0.595760i −0.917555 0.397610i \(-0.869840\pi\)
0.980172 0.198151i \(-0.0634935\pi\)
\(488\) −35.6423 + 15.8690i −1.61345 + 0.718356i
\(489\) 12.6579 0.572408
\(490\) −1.35347 1.87470i −0.0611436 0.0846901i
\(491\) 17.2684 0.779313 0.389656 0.920960i \(-0.372594\pi\)
0.389656 + 0.920960i \(0.372594\pi\)
\(492\) 4.58186 0.206484i 0.206566 0.00930903i
\(493\) 0.227469 + 0.393988i 0.0102447 + 0.0177443i
\(494\) −22.8344 + 4.85361i −1.02737 + 0.218374i
\(495\) −1.76515 + 3.05733i −0.0793376 + 0.137417i
\(496\) 1.37243 + 0.997130i 0.0616240 + 0.0447725i
\(497\) −7.49126 19.6032i −0.336029 0.879325i
\(498\) 1.83413 5.64487i 0.0821893 0.252953i
\(499\) 6.30907 + 1.34103i 0.282433 + 0.0600329i 0.346950 0.937884i \(-0.387217\pi\)
−0.0645172 + 0.997917i \(0.520551\pi\)
\(500\) 4.68392 + 2.08541i 0.209471 + 0.0932626i
\(501\) 3.32176 + 5.75346i 0.148405 + 0.257046i
\(502\) −1.96335 18.6800i −0.0876285 0.833730i
\(503\) −22.0874 + 16.0475i −0.984830 + 0.715521i −0.958783 0.284140i \(-0.908292\pi\)
−0.0260469 + 0.999661i \(0.508292\pi\)
\(504\) −19.4018 3.10278i −0.864225 0.138209i
\(505\) 0.0123333 0.0379579i 0.000548824 0.00168911i
\(506\) 9.94810 17.2306i 0.442247 0.765994i
\(507\) 1.01081 9.61724i 0.0448918 0.427117i
\(508\) 11.1144 12.3438i 0.493122 0.547667i
\(509\) 3.98561 + 37.9205i 0.176659 + 1.68080i 0.620122 + 0.784505i \(0.287083\pi\)
−0.443463 + 0.896293i \(0.646250\pi\)
\(510\) −0.0229909 + 0.0707587i −0.00101805 + 0.00313325i
\(511\) 1.84618 0.491716i 0.0816702 0.0217522i
\(512\) 1.17184 + 3.60654i 0.0517883 + 0.159388i
\(513\) 15.4692 + 3.28808i 0.682983 + 0.145172i
\(514\) 14.5956 16.2100i 0.643784 0.714995i
\(515\) 5.97618 1.27028i 0.263342 0.0559751i
\(516\) −0.222856 2.12033i −0.00981069 0.0933425i
\(517\) −8.93583 27.5016i −0.392997 1.20952i
\(518\) −12.6404 + 15.5618i −0.555387 + 0.683746i
\(519\) −7.73760 −0.339643
\(520\) 4.05271 + 4.50099i 0.177723 + 0.197381i
\(521\) −0.458010 + 4.35767i −0.0200658 + 0.190913i −0.999963 0.00858935i \(-0.997266\pi\)
0.979897 + 0.199502i \(0.0639326\pi\)
\(522\) 2.26355 + 1.00780i 0.0990731 + 0.0441102i
\(523\) −2.12645 20.2319i −0.0929834 0.884678i −0.937227 0.348719i \(-0.886617\pi\)
0.844244 0.535959i \(-0.180050\pi\)
\(524\) 13.8573 0.605360
\(525\) −3.18927 + 6.23615i −0.139191 + 0.272168i
\(526\) 6.61512 + 20.3593i 0.288433 + 0.887706i
\(527\) −1.39057 1.54439i −0.0605742 0.0672745i
\(528\) −0.0631670 + 0.600994i −0.00274899 + 0.0261549i
\(529\) −3.14751 + 29.9466i −0.136848 + 1.30202i
\(530\) 1.01888 1.76475i 0.0442574 0.0766561i
\(531\) 1.91661 5.89872i 0.0831738 0.255983i
\(532\) −14.7334 9.59943i −0.638774 0.416188i
\(533\) −22.5233 + 27.4012i −0.975594 + 1.18688i
\(534\) −1.97171 + 3.41510i −0.0853242 + 0.147786i
\(535\) −4.58564 + 0.974708i −0.198255 + 0.0421403i
\(536\) 17.1106 + 29.6364i 0.739064 + 1.28010i
\(537\) −5.74556 + 2.55809i −0.247939 + 0.110390i
\(538\) −10.5091 7.63534i −0.453081 0.329183i
\(539\) 13.4673 + 18.6536i 0.580078 + 0.803466i
\(540\) −0.501817 1.54443i −0.0215948 0.0664618i
\(541\) 1.99361 + 18.9679i 0.0857119 + 0.815495i 0.949948 + 0.312408i \(0.101136\pi\)
−0.864236 + 0.503087i \(0.832198\pi\)
\(542\) −10.7960 18.6992i −0.463726 0.803198i
\(543\) −8.78024 3.90921i −0.376796 0.167760i
\(544\) −0.248808 2.36725i −0.0106675 0.101495i
\(545\) −1.83152 1.33067i −0.0784536 0.0569999i
\(546\) −5.17927 + 4.18124i −0.221652 + 0.178941i
\(547\) 11.0846 0.473943 0.236971 0.971517i \(-0.423845\pi\)
0.236971 + 0.971517i \(0.423845\pi\)
\(548\) −20.4392 + 9.10010i −0.873118 + 0.388737i
\(549\) −25.6467 + 28.4836i −1.09458 + 1.21565i
\(550\) 12.0759 + 5.37652i 0.514916 + 0.229256i
\(551\) 3.74913 + 4.16383i 0.159718 + 0.177385i
\(552\) 3.38555 + 10.4197i 0.144099 + 0.443490i
\(553\) 4.79001 + 4.80440i 0.203692 + 0.204304i
\(554\) 6.21296 + 19.1215i 0.263963 + 0.812395i
\(555\) −1.94023 0.412409i −0.0823582 0.0175058i
\(556\) −0.795048 + 0.168993i −0.0337175 + 0.00716688i
\(557\) 31.3581 + 13.9615i 1.32869 + 0.591569i 0.943531 0.331283i \(-0.107482\pi\)
0.385154 + 0.922852i \(0.374148\pi\)
\(558\) −11.0712 2.35326i −0.468682 0.0996215i
\(559\) 13.3391 + 9.69144i 0.564185 + 0.409904i
\(560\) −0.0190462 + 0.353283i −0.000804848 + 0.0149289i
\(561\) 0.228764 0.704062i 0.00965841 0.0297255i
\(562\) −13.3383 + 5.93858i −0.562641 + 0.250504i
\(563\) 23.1876 + 10.3238i 0.977242 + 0.435096i 0.832289 0.554342i \(-0.187030\pi\)
0.144954 + 0.989438i \(0.453697\pi\)
\(564\) 5.75719 + 2.56327i 0.242421 + 0.107933i
\(565\) 1.86570 3.23148i 0.0784904 0.135949i
\(566\) 14.0181 10.1848i 0.589226 0.428098i
\(567\) −16.3591 + 4.35713i −0.687020 + 0.182982i
\(568\) 6.73916 20.7410i 0.282769 0.870273i
\(569\) −10.8139 + 4.81464i −0.453341 + 0.201840i −0.620688 0.784058i \(-0.713147\pi\)
0.167347 + 0.985898i \(0.446480\pi\)
\(570\) −0.0957803 + 0.911288i −0.00401179 + 0.0381697i
\(571\) 0.554923 + 0.961155i 0.0232228 + 0.0402231i 0.877403 0.479754i \(-0.159274\pi\)
−0.854180 + 0.519977i \(0.825941\pi\)
\(572\) −15.9598 17.7251i −0.667312 0.741125i
\(573\) 5.76103 0.240670
\(574\) 14.0073 1.34736i 0.584653 0.0562379i
\(575\) −35.2864 −1.47154
\(576\) −7.45908 8.28415i −0.310795 0.345173i
\(577\) −8.83089 15.2956i −0.367635 0.636762i 0.621560 0.783366i \(-0.286499\pi\)
−0.989195 + 0.146604i \(0.953166\pi\)
\(578\) 1.46130 13.9033i 0.0607821 0.578303i
\(579\) −8.31520 + 3.70217i −0.345568 + 0.153857i
\(580\) 0.177787 0.547173i 0.00738222 0.0227201i
\(581\) −8.99905 + 33.3845i −0.373344 + 1.38502i
\(582\) −0.717551 + 0.521332i −0.0297435 + 0.0216099i
\(583\) −10.1381 + 17.5596i −0.419876 + 0.727246i
\(584\) 1.81377 + 0.807545i 0.0750545 + 0.0334164i
\(585\) 5.43562 + 2.42010i 0.224735 + 0.100059i
\(586\) −11.0737 + 4.93031i −0.457448 + 0.203669i
\(587\) −7.89363 + 24.2941i −0.325805 + 1.00272i 0.645271 + 0.763954i \(0.276744\pi\)
−0.971076 + 0.238771i \(0.923256\pi\)
\(588\) −4.98499 0.539067i −0.205577 0.0222307i
\(589\) −20.7066 15.0442i −0.853199 0.619885i
\(590\) 0.741919 + 0.157700i 0.0305443 + 0.00649240i
\(591\) −3.04204 1.35440i −0.125133 0.0557127i
\(592\) 3.00064 0.637806i 0.123326 0.0262137i
\(593\) 17.8900 + 3.80264i 0.734654 + 0.156156i 0.560021 0.828478i \(-0.310793\pi\)
0.174633 + 0.984634i \(0.444126\pi\)
\(594\) −2.62978 8.09362i −0.107901 0.332085i
\(595\) 0.112803 0.418477i 0.00462449 0.0171559i
\(596\) −3.94195 12.1321i −0.161469 0.496949i
\(597\) −6.53865 7.26191i −0.267609 0.297210i
\(598\) −30.6343 13.6393i −1.25273 0.557751i
\(599\) −21.9662 + 24.3960i −0.897517 + 0.996793i 0.102481 + 0.994735i \(0.467322\pi\)
−0.999998 + 0.00205825i \(0.999345\pi\)
\(600\) −6.64960 + 2.96059i −0.271469 + 0.120866i
\(601\) 7.87183 0.321099 0.160549 0.987028i \(-0.448673\pi\)
0.160549 + 0.987028i \(0.448673\pi\)
\(602\) −1.01359 6.46226i −0.0413107 0.263382i
\(603\) 27.1980 + 19.7605i 1.10759 + 0.804710i
\(604\) 0.438401 + 4.17111i 0.0178383 + 0.169720i
\(605\) −0.0717421 0.0319417i −0.00291673 0.00129861i
\(606\) 0.0227912 + 0.0394756i 0.000925831 + 0.00160359i
\(607\) −1.70543 16.2261i −0.0692214 0.658597i −0.973033 0.230667i \(-0.925909\pi\)
0.903811 0.427931i \(-0.140757\pi\)
\(608\) −9.05898 27.8807i −0.367390 1.13071i
\(609\) 1.49064 + 0.574771i 0.0604039 + 0.0232909i
\(610\) −3.79210 2.75512i −0.153537 0.111551i
\(611\) −44.5236 + 19.8232i −1.80123 + 0.801960i
\(612\) −0.728818 1.26235i −0.0294607 0.0510275i
\(613\) −25.6981 + 5.46230i −1.03794 + 0.220620i −0.695203 0.718813i \(-0.744686\pi\)
−0.342732 + 0.939433i \(0.611352\pi\)
\(614\) −0.232328 + 0.402404i −0.00937600 + 0.0162397i
\(615\) 0.749701 + 1.17316i 0.0302309 + 0.0473065i
\(616\) −1.28710 + 23.8741i −0.0518587 + 0.961915i
\(617\) −3.54164 + 10.9001i −0.142581 + 0.438820i −0.996692 0.0812713i \(-0.974102\pi\)
0.854111 + 0.520091i \(0.174102\pi\)
\(618\) −3.48892 + 6.04299i −0.140345 + 0.243085i
\(619\) −0.575547 + 5.47596i −0.0231332 + 0.220097i 0.976848 + 0.213935i \(0.0686282\pi\)
−0.999981 + 0.00616215i \(0.998039\pi\)
\(620\) −0.274716 + 2.61375i −0.0110328 + 0.104971i
\(621\) 15.2008 + 16.8822i 0.609987 + 0.677459i
\(622\) 0.877351 + 2.70021i 0.0351786 + 0.108268i
\(623\) 10.4598 20.4527i 0.419064 0.819419i
\(624\) 1.01850 0.0407728
\(625\) −2.36788 22.5288i −0.0947151 0.901154i
\(626\) −7.13930 3.17862i −0.285344 0.127043i
\(627\) 0.953031 9.06749i 0.0380604 0.362121i
\(628\) 11.9190 + 13.2374i 0.475619 + 0.528229i
\(629\) −3.75802 −0.149842
\(630\) −0.842636 2.20502i −0.0335714 0.0878501i
\(631\) −3.28134 10.0989i −0.130628 0.402032i 0.864256 0.503052i \(-0.167790\pi\)
−0.994884 + 0.101020i \(0.967790\pi\)
\(632\) 0.736946 + 7.01157i 0.0293141 + 0.278905i
\(633\) 5.01921 1.06687i 0.199496 0.0424041i
\(634\) 12.3913 13.7619i 0.492122 0.546557i
\(635\) 4.93190 + 1.04831i 0.195717 + 0.0416008i
\(636\) −1.36551 4.20261i −0.0541460 0.166644i
\(637\) 28.8942 25.8599i 1.14483 1.02461i
\(638\) 0.931697 2.86747i 0.0368862 0.113524i
\(639\) −2.23946 21.3070i −0.0885916 0.842893i
\(640\) −2.16287 + 2.40211i −0.0854948 + 0.0949516i
\(641\) 4.14914 39.4765i 0.163881 1.55923i −0.535535 0.844513i \(-0.679890\pi\)
0.699417 0.714714i \(-0.253443\pi\)
\(642\) 2.67712 4.63690i 0.105657 0.183004i
\(643\) −1.84199 + 5.66905i −0.0726409 + 0.223566i −0.980785 0.195092i \(-0.937499\pi\)
0.908144 + 0.418658i \(0.137499\pi\)
\(644\) −9.01686 23.5954i −0.355314 0.929790i
\(645\) 0.523579 0.380403i 0.0206159 0.0149783i
\(646\) 0.181462 + 1.72650i 0.00713953 + 0.0679281i
\(647\) 11.0841 + 19.1982i 0.435759 + 0.754758i 0.997357 0.0726528i \(-0.0231465\pi\)
−0.561598 + 0.827410i \(0.689813\pi\)
\(648\) −16.0720 7.15572i −0.631368 0.281103i
\(649\) −7.38223 1.56914i −0.289778 0.0615942i
\(650\) 6.88459 21.1886i 0.270036 0.831084i
\(651\) −7.20642 1.15247i −0.282442 0.0451688i
\(652\) −24.5355 17.8260i −0.960882 0.698122i
\(653\) −1.71486 + 2.97022i −0.0671075 + 0.116234i −0.897627 0.440756i \(-0.854710\pi\)
0.830519 + 0.556990i \(0.188044\pi\)
\(654\) 2.52906 0.537569i 0.0988941 0.0210206i
\(655\) 2.10322 + 3.64288i 0.0821795 + 0.142339i
\(656\) −1.79716 1.18590i −0.0701673 0.0463014i
\(657\) 1.95047 0.0760949
\(658\) 18.0407 + 6.95624i 0.703299 + 0.271182i
\(659\) 8.81919 0.343547 0.171773 0.985136i \(-0.445050\pi\)
0.171773 + 0.985136i \(0.445050\pi\)
\(660\) −0.855266 + 0.380789i −0.0332912 + 0.0148222i
\(661\) −0.199380 + 1.89697i −0.00775497 + 0.0737836i −0.997715 0.0675647i \(-0.978477\pi\)
0.989960 + 0.141348i \(0.0451438\pi\)
\(662\) 2.89445 0.615235i 0.112496 0.0239118i
\(663\) −1.22044 0.259413i −0.0473980 0.0100747i
\(664\) −29.0691 + 21.1199i −1.12810 + 0.819612i
\(665\) 0.287359 5.33016i 0.0111433 0.206695i
\(666\) −16.5587 + 12.0306i −0.641635 + 0.466175i
\(667\) 0.841290 + 8.00434i 0.0325749 + 0.309929i
\(668\) 1.66383 15.8303i 0.0643756 0.612493i
\(669\) 12.9642 2.75563i 0.501226 0.106539i
\(670\) −2.05565 + 3.56050i −0.0794168 + 0.137554i
\(671\) 37.7320 + 27.4139i 1.45663 + 1.05830i
\(672\) −5.90177 5.91951i −0.227666 0.228350i
\(673\) 25.1944 18.3048i 0.971172 0.705598i 0.0154537 0.999881i \(-0.495081\pi\)
0.955718 + 0.294283i \(0.0950807\pi\)
\(674\) −7.44762 8.27142i −0.286872 0.318603i
\(675\) −10.0991 + 11.2162i −0.388716 + 0.431713i
\(676\) −15.5033 + 17.2181i −0.596280 + 0.662236i
\(677\) −33.2095 7.05890i −1.27634 0.271295i −0.480606 0.876936i \(-0.659583\pi\)
−0.795738 + 0.605641i \(0.792917\pi\)
\(678\) 1.31691 + 4.05302i 0.0505755 + 0.155655i
\(679\) 4.02025 3.24557i 0.154283 0.124553i
\(680\) 0.364382 0.264739i 0.0139734 0.0101523i
\(681\) 3.05688 + 0.649761i 0.117140 + 0.0248989i
\(682\) −1.43965 + 13.6974i −0.0551271 + 0.524499i
\(683\) −14.0919 24.4078i −0.539210 0.933940i −0.998947 0.0458845i \(-0.985389\pi\)
0.459736 0.888055i \(-0.347944\pi\)
\(684\) −12.0124 13.3411i −0.459304 0.510109i
\(685\) −5.49447 3.99196i −0.209933 0.152525i
\(686\) −15.3588 0.874238i −0.586402 0.0333785i
\(687\) −1.36979 + 0.995209i −0.0522606 + 0.0379696i
\(688\) −0.500444 + 0.866795i −0.0190793 + 0.0330462i
\(689\) 31.2193 + 13.8997i 1.18936 + 0.529537i
\(690\) −0.880732 + 0.978152i −0.0335289 + 0.0372376i
\(691\) 18.0603 + 20.0580i 0.687045 + 0.763041i 0.981258 0.192699i \(-0.0617241\pi\)
−0.294213 + 0.955740i \(0.595057\pi\)
\(692\) 14.9982 + 10.8969i 0.570148 + 0.414236i
\(693\) 8.38438 + 21.9404i 0.318496 + 0.833445i
\(694\) 13.4112 0.509084
\(695\) −0.165095 0.183357i −0.00626242 0.00695512i
\(696\) 0.830118 + 1.43781i 0.0314655 + 0.0544999i
\(697\) 1.85143 + 1.87875i 0.0701279 + 0.0711629i
\(698\) −7.84063 + 13.5804i −0.296772 + 0.514024i
\(699\) 3.88138 11.9457i 0.146807 0.451826i
\(700\) 14.9643 7.59645i 0.565598 0.287119i
\(701\) −32.2396 23.4234i −1.21767 0.884691i −0.221767 0.975100i \(-0.571183\pi\)
−0.995905 + 0.0904089i \(0.971183\pi\)
\(702\) −13.1031 + 5.83388i −0.494545 + 0.220186i
\(703\) −45.2721 + 9.62289i −1.70747 + 0.362934i
\(704\) −9.07647 + 10.0804i −0.342082 + 0.379921i
\(705\) 0.199963 + 1.90252i 0.00753105 + 0.0716531i
\(706\) 0.250215 0.00941698
\(707\) −0.144288 0.222916i −0.00542652 0.00838361i
\(708\) 1.33066 0.966785i 0.0500094 0.0363340i
\(709\) 10.0058 4.45487i 0.375776 0.167306i −0.210153 0.977668i \(-0.567396\pi\)
0.585929 + 0.810362i \(0.300730\pi\)
\(710\) 2.56279 0.544738i 0.0961798 0.0204437i
\(711\) 3.46303 + 5.99814i 0.129874 + 0.224948i
\(712\) 21.8086 9.70984i 0.817314 0.363891i
\(713\) −11.3612 34.9662i −0.425480 1.30949i
\(714\) 0.268973 + 0.415545i 0.0100661 + 0.0155514i
\(715\) 2.23735 6.88584i 0.0836720 0.257516i
\(716\) 14.7395 + 3.13298i 0.550842 + 0.117085i
\(717\) −0.684166 + 0.759843i −0.0255506 + 0.0283769i
\(718\) −4.18588 + 4.64889i −0.156216 + 0.173495i
\(719\) 0.739087 + 0.157098i 0.0275633 + 0.00585876i 0.221673 0.975121i \(-0.428848\pi\)
−0.194109 + 0.980980i \(0.562182\pi\)
\(720\) −0.111614 + 0.343512i −0.00415960 + 0.0128019i
\(721\) 18.5086 36.1908i 0.689295 1.34782i
\(722\) 1.73000 + 5.32439i 0.0643839 + 0.198153i
\(723\) 3.01785 1.34363i 0.112235 0.0499702i
\(724\) 11.5139 + 19.9427i 0.427911 + 0.741163i
\(725\) −5.23038 + 1.11175i −0.194252 + 0.0412894i
\(726\) 0.0819363 0.0364804i 0.00304094 0.00135391i
\(727\) −24.1483 + 17.5447i −0.895610 + 0.650699i −0.937335 0.348431i \(-0.886715\pi\)
0.0417248 + 0.999129i \(0.486715\pi\)
\(728\) 40.2442 2.04858i 1.49155 0.0759256i
\(729\) −12.1701 −0.450743
\(730\) 0.0249329 + 0.237221i 0.000922809 + 0.00877994i
\(731\) 0.820438 0.911188i 0.0303450 0.0337015i
\(732\) −9.94226 + 2.11329i −0.367476 + 0.0781095i
\(733\) −28.8559 + 12.8475i −1.06582 + 0.474533i −0.863271 0.504740i \(-0.831588\pi\)
−0.202546 + 0.979273i \(0.564922\pi\)
\(734\) −3.72950 2.70964i −0.137659 0.100015i
\(735\) −0.614892 1.39229i −0.0226806 0.0513556i
\(736\) 13.0128 40.0493i 0.479658 1.47624i
\(737\) 20.4541 35.4276i 0.753437 1.30499i
\(738\) 14.1723 + 2.35121i 0.521689 + 0.0865492i
\(739\) 8.67939 + 15.0331i 0.319276 + 0.553003i 0.980337 0.197329i \(-0.0632268\pi\)
−0.661061 + 0.750332i \(0.729893\pi\)
\(740\) 3.18007 + 3.53182i 0.116902 + 0.129832i
\(741\) −15.3667 −0.564509
\(742\) −4.83964 12.6644i −0.177669 0.464926i
\(743\) 21.4520 + 15.5858i 0.786997 + 0.571786i 0.907071 0.420978i \(-0.138313\pi\)
−0.120074 + 0.992765i \(0.538313\pi\)
\(744\) −5.07471 5.63603i −0.186048 0.206627i
\(745\) 2.59104 2.87765i 0.0949285 0.105429i
\(746\) 6.18194 + 2.75238i 0.226337 + 0.100772i
\(747\) −17.6493 + 30.5696i −0.645756 + 1.11848i
\(748\) −1.43496 + 1.04256i −0.0524672 + 0.0381196i
\(749\) −14.2020 + 27.7699i −0.518929 + 1.01469i
\(750\) −1.43805 1.04480i −0.0525101 0.0381508i
\(751\) −5.57764 6.19460i −0.203531 0.226044i 0.632734 0.774369i \(-0.281932\pi\)
−0.836266 + 0.548325i \(0.815266\pi\)
\(752\) −1.47927 2.56216i −0.0539432 0.0934324i
\(753\) 1.29238 12.2962i 0.0470971 0.448099i
\(754\) −4.97055 1.05652i −0.181017 0.0384763i
\(755\) −1.02998 + 0.748326i −0.0374849 + 0.0272344i
\(756\) −10.0808 3.88701i −0.366635 0.141369i
\(757\) 6.11729 + 18.8271i 0.222337 + 0.684282i 0.998551 + 0.0538130i \(0.0171375\pi\)
−0.776214 + 0.630469i \(0.782863\pi\)
\(758\) 10.4925 + 2.23025i 0.381105 + 0.0810064i
\(759\) 8.76344 9.73279i 0.318093 0.353278i
\(760\) 3.71175 4.12231i 0.134639 0.149532i
\(761\) 24.5263 + 27.2393i 0.889079 + 0.987422i 0.999979 0.00640906i \(-0.00204008\pi\)
−0.110900 + 0.993832i \(0.535373\pi\)
\(762\) −4.65875 + 3.38478i −0.168769 + 0.122618i
\(763\) −14.5546 + 3.87652i −0.526914 + 0.140339i
\(764\) −11.1669 8.11326i −0.404006 0.293527i
\(765\) 0.221235 0.383191i 0.00799878 0.0138543i
\(766\) 9.26382 1.96909i 0.334715 0.0711459i
\(767\) −1.32961 + 12.6504i −0.0480095 + 0.456780i
\(768\) −0.857636 8.15986i −0.0309473 0.294444i
\(769\) 17.8693 12.9828i 0.644383 0.468172i −0.216970 0.976178i \(-0.569617\pi\)
0.861353 + 0.508007i \(0.169617\pi\)
\(770\) −2.56127 + 1.30020i −0.0923017 + 0.0468558i
\(771\) 11.6162 8.43963i 0.418346 0.303946i
\(772\) 21.3316 + 4.53417i 0.767741 + 0.163188i
\(773\) 20.7610 4.41288i 0.746721 0.158720i 0.181191 0.983448i \(-0.442005\pi\)
0.565530 + 0.824728i \(0.308672\pi\)
\(774\) 0.698036 6.64137i 0.0250904 0.238719i
\(775\) 22.3146 9.93511i 0.801565 0.356880i
\(776\) 5.36934 0.192748
\(777\) −10.2685 + 8.28983i −0.368382 + 0.297396i
\(778\) 23.1791 0.831013
\(779\) 27.1146 + 17.8922i 0.971483 + 0.641054i
\(780\) 0.788949 + 1.36650i 0.0282489 + 0.0489285i
\(781\) −25.5002 + 5.42024i −0.912470 + 0.193952i
\(782\) −1.24685 + 2.15960i −0.0445871 + 0.0772271i
\(783\) 2.78507 + 2.02347i 0.0995301 + 0.0723129i
\(784\) 1.74454 + 1.58029i 0.0623050 + 0.0564390i
\(785\) −1.67088 + 5.14244i −0.0596363 + 0.183542i
\(786\) −4.69916 0.998838i −0.167614 0.0356274i
\(787\) −3.50944 1.56250i −0.125098 0.0556972i 0.343233 0.939250i \(-0.388478\pi\)
−0.468331 + 0.883553i \(0.655145\pi\)
\(788\) 3.98915 + 6.90942i 0.142108 + 0.246138i
\(789\) 1.47294 + 14.0141i 0.0524379 + 0.498914i
\(790\) −0.685242 + 0.497858i −0.0243798 + 0.0177130i
\(791\) −8.86196 23.1901i −0.315095 0.824545i
\(792\) −7.54261 + 23.2138i −0.268015 + 0.824865i
\(793\) 39.3034 68.0755i 1.39570 2.41743i
\(794\) 1.14291 10.8741i 0.0405605 0.385907i
\(795\) 0.897550 0.996830i 0.0318328 0.0353539i
\(796\) 2.44731 + 23.2846i 0.0867424 + 0.825299i
\(797\) −6.99912 + 21.5411i −0.247922 + 0.763024i 0.747221 + 0.664576i \(0.231388\pi\)
−0.995142 + 0.0984480i \(0.968612\pi\)
\(798\) 4.30432 + 4.31725i 0.152371 + 0.152829i
\(799\) 1.11997 + 3.44692i 0.0396218 + 0.121943i
\(800\) 27.3660 + 5.81682i 0.967533 + 0.205655i
\(801\) 15.6926 17.4284i 0.554470 0.615802i
\(802\) −3.75694 + 0.798563i −0.132662 + 0.0281982i
\(803\) −0.248087 2.36039i −0.00875481 0.0832964i
\(804\) 2.75500 + 8.47901i 0.0971613 + 0.299032i
\(805\) 4.83434 5.95163i 0.170388 0.209767i
\(806\) 23.2129 0.817641
\(807\) −5.72156 6.35444i −0.201408 0.223687i
\(808\) 0.0288442 0.274434i 0.00101473 0.00965456i
\(809\) −11.7567 5.23441i −0.413343 0.184032i 0.189520 0.981877i \(-0.439307\pi\)
−0.602863 + 0.797845i \(0.705973\pi\)
\(810\) −0.220933 2.10203i −0.00776278 0.0738579i
\(811\) −52.9586 −1.85963 −0.929814 0.368030i \(-0.880032\pi\)
−0.929814 + 0.368030i \(0.880032\pi\)
\(812\) −2.07995 3.21339i −0.0729920 0.112768i
\(813\) −4.39205 13.5174i −0.154036 0.474074i
\(814\) 16.6652 + 18.5086i 0.584114 + 0.648725i
\(815\) 0.962290 9.15558i 0.0337075 0.320706i
\(816\) 0.00791704 0.0753256i 0.000277152 0.00263692i
\(817\) 7.55045 13.0778i 0.264157 0.457533i
\(818\) −0.948128 + 2.91804i −0.0331505 + 0.102027i
\(819\) 35.2990 17.9191i 1.23345 0.626144i
\(820\) 0.198975 3.32981i 0.00694850 0.116282i
\(821\) −22.7619 + 39.4248i −0.794396 + 1.37593i 0.128827 + 0.991667i \(0.458879\pi\)
−0.923222 + 0.384266i \(0.874454\pi\)
\(822\) 7.58707 1.61268i 0.264629 0.0562487i
\(823\) 3.30670 + 5.72737i 0.115264 + 0.199644i 0.917885 0.396846i \(-0.129895\pi\)
−0.802621 + 0.596489i \(0.796562\pi\)
\(824\) 38.5902 17.1815i 1.34435 0.598545i
\(825\) 7.03946 + 5.11447i 0.245083 + 0.178063i
\(826\) 3.92656 3.16992i 0.136622 0.110296i
\(827\) −1.29399 3.98248i −0.0449963 0.138484i 0.926034 0.377439i \(-0.123195\pi\)
−0.971031 + 0.238955i \(0.923195\pi\)
\(828\) −2.69552 25.6462i −0.0936759 0.891267i
\(829\) 8.48012 + 14.6880i 0.294527 + 0.510135i 0.974875 0.222754i \(-0.0715046\pi\)
−0.680348 + 0.732889i \(0.738171\pi\)
\(830\) −3.94357 1.75579i −0.136883 0.0609443i
\(831\) 1.38339 + 13.1621i 0.0479892 + 0.456587i
\(832\) 18.4957 + 13.4379i 0.641223 + 0.465876i
\(833\) −1.68792 2.33795i −0.0584831 0.0810050i
\(834\) 0.281790 0.00975759
\(835\) 4.41408 1.96527i 0.152755 0.0680111i
\(836\) −14.6171 + 16.2339i −0.505541 + 0.561461i
\(837\) −14.3661 6.39619i −0.496565 0.221085i
\(838\) 9.07511 + 10.0789i 0.313494 + 0.348171i
\(839\) −9.10374 28.0184i −0.314296 0.967304i −0.976043 0.217577i \(-0.930185\pi\)
0.661747 0.749727i \(-0.269815\pi\)
\(840\) 0.411661 1.52718i 0.0142037 0.0526926i
\(841\) −8.58460 26.4207i −0.296021 0.911058i
\(842\) 5.91370 + 1.25700i 0.203800 + 0.0433189i
\(843\) −9.40086 + 1.99821i −0.323783 + 0.0688222i
\(844\) −11.2315 5.00058i −0.386604 0.172127i
\(845\) −6.87942 1.46227i −0.236659 0.0503035i
\(846\) 15.9695 + 11.6025i 0.549043 + 0.398903i
\(847\) −0.465894 + 0.236505i −0.0160083 + 0.00812642i
\(848\) −0.641048 + 1.97294i −0.0220137 + 0.0677512i
\(849\) 10.4197 4.63916i 0.357604 0.159216i
\(850\) −1.51353 0.673866i −0.0519136 0.0231134i
\(851\) −60.7363 27.0415i −2.08201 0.926972i
\(852\) 2.84078 4.92038i 0.0973236 0.168569i
\(853\) −3.55560 + 2.58329i −0.121741 + 0.0884503i −0.646990 0.762499i \(-0.723972\pi\)
0.525248 + 0.850949i \(0.323972\pi\)
\(854\) −30.1349 + 8.02620i −1.03120 + 0.274651i
\(855\) 1.68397 5.18273i 0.0575906 0.177246i
\(856\) −29.6110 + 13.1837i −1.01208 + 0.450609i
\(857\) −1.79419 + 17.0705i −0.0612882 + 0.583118i 0.920180 + 0.391495i \(0.128042\pi\)
−0.981469 + 0.191623i \(0.938625\pi\)
\(858\) 4.13450 + 7.16116i 0.141149 + 0.244478i
\(859\) −24.2712 26.9559i −0.828122 0.919722i 0.169713 0.985494i \(-0.445716\pi\)
−0.997835 + 0.0657713i \(0.979049\pi\)
\(860\) −1.55061 −0.0528752
\(861\) 9.20327 + 1.04949i 0.313647 + 0.0357667i
\(862\) 13.6702 0.465609
\(863\) 12.9603 + 14.3938i 0.441172 + 0.489971i 0.922189 0.386740i \(-0.126399\pi\)
−0.481017 + 0.876712i \(0.659732\pi\)
\(864\) −9.00586 15.5986i −0.306385 0.530675i
\(865\) −0.588237 + 5.59670i −0.0200007 + 0.190294i
\(866\) 6.74036 3.00100i 0.229047 0.101978i
\(867\) 2.84368 8.75196i 0.0965766 0.297232i
\(868\) 12.3456 + 12.3827i 0.419037 + 0.420296i
\(869\) 6.81828 4.95377i 0.231294 0.168045i
\(870\) −0.0997299 + 0.172737i −0.00338116 + 0.00585634i
\(871\) −62.9867 28.0435i −2.13422 0.950217i
\(872\) −14.2992 6.36640i −0.484231 0.215594i
\(873\) 4.81877 2.14546i 0.163091 0.0726127i
\(874\) −9.49058 + 29.2090i −0.321024 + 0.988010i
\(875\) 8.67586 + 5.65269i 0.293297 + 0.191096i
\(876\) 0.418461 + 0.304030i 0.0141385 + 0.0102722i
\(877\) 41.2704 + 8.77230i 1.39360 + 0.296220i 0.842715 0.538359i \(-0.180956\pi\)
0.550888 + 0.834579i \(0.314289\pi\)
\(878\) 6.30188 + 2.80578i 0.212678 + 0.0946905i
\(879\) −7.80475 + 1.65895i −0.263248 + 0.0559550i
\(880\) 0.429904 + 0.0913789i 0.0144921 + 0.00308038i
\(881\) 9.02442 + 27.7743i 0.304040 + 0.935740i 0.980034 + 0.198832i \(0.0637149\pi\)
−0.675993 + 0.736908i \(0.736285\pi\)
\(882\) −14.9219 4.89794i −0.502445 0.164922i
\(883\) 10.1078 + 31.1086i 0.340154 + 1.04689i 0.964127 + 0.265441i \(0.0855176\pi\)
−0.623973 + 0.781446i \(0.714482\pi\)
\(884\) 2.00032 + 2.22158i 0.0672780 + 0.0747198i
\(885\) 0.456117 + 0.203076i 0.0153322 + 0.00682634i
\(886\) 13.9615 15.5058i 0.469044 0.520926i
\(887\) 23.1445 10.3046i 0.777117 0.345995i 0.0204461 0.999791i \(-0.493491\pi\)
0.756671 + 0.653796i \(0.226825\pi\)
\(888\) −13.7144 −0.460225
\(889\) 26.1018 21.0721i 0.875425 0.706734i
\(890\) 2.32029 + 1.68579i 0.0777762 + 0.0565077i
\(891\) 2.19832 + 20.9156i 0.0736465 + 0.700700i
\(892\) −29.0100 12.9161i −0.971328 0.432463i
\(893\) 22.3184 + 38.6566i 0.746857 + 1.29359i
\(894\) 0.462275 + 4.39825i 0.0154608 + 0.147100i
\(895\) 1.41350 + 4.35031i 0.0472481 + 0.145415i
\(896\) 3.33234 + 21.2457i 0.111326 + 0.709771i
\(897\) −17.8578 12.9745i −0.596256 0.433205i
\(898\) −23.9150 + 10.6476i −0.798053 + 0.355316i
\(899\) −2.78570 4.82497i −0.0929082 0.160922i
\(900\) 16.7583 3.56210i 0.558611 0.118737i
\(901\) 1.27065 2.20084i 0.0423316 0.0733205i
\(902\) 1.04273 17.4499i 0.0347191 0.581019i
\(903\) 0.231798 4.29957i 0.00771376 0.143081i
\(904\) 7.97225 24.5361i 0.265153 0.816057i
\(905\) −3.49508 + 6.05366i −0.116180 + 0.201231i
\(906\) 0.151988 1.44607i 0.00504945 0.0480423i
\(907\) 1.34271 12.7750i 0.0445839 0.424187i −0.949351 0.314218i \(-0.898258\pi\)
0.993935 0.109970i \(-0.0350755\pi\)
\(908\) −5.01028 5.56448i −0.166272 0.184664i
\(909\) −0.0837705 0.257819i −0.00277849 0.00855132i
\(910\) 2.63060 + 4.06410i 0.0872035 + 0.134724i
\(911\) −0.901565 −0.0298702 −0.0149351 0.999888i \(-0.504754\pi\)
−0.0149351 + 0.999888i \(0.504754\pi\)
\(912\) −0.0975059 0.927706i −0.00322874 0.0307194i
\(913\) 39.2392 + 17.4704i 1.29863 + 0.578187i
\(914\) −0.916381 + 8.71879i −0.0303112 + 0.288392i
\(915\) −2.06455 2.29292i −0.0682521 0.0758016i
\(916\) 4.05669 0.134037
\(917\) 27.6351 + 4.41947i 0.912592 + 0.145944i
\(918\) 0.329603 + 1.01441i 0.0108785 + 0.0334807i
\(919\) 2.14835 + 20.4402i 0.0708676 + 0.674260i 0.971071 + 0.238791i \(0.0767509\pi\)
−0.900204 + 0.435469i \(0.856582\pi\)
\(920\) 7.79405 1.65668i 0.256962 0.0546190i
\(921\) −0.204662 + 0.227300i −0.00674383 + 0.00748979i
\(922\) 27.9695 + 5.94510i 0.921127 + 0.195792i
\(923\) 13.5778 + 41.7882i 0.446919 + 1.37548i
\(924\) −1.62115 + 6.01410i −0.0533318 + 0.197849i
\(925\) 13.6495 42.0090i 0.448794 1.38125i
\(926\) 0.153189 + 1.45749i 0.00503409 + 0.0478961i
\(927\) 27.7679 30.8394i 0.912017 1.01290i
\(928\) 0.667030 6.34637i 0.0218963 0.208330i
\(929\) −1.37494 + 2.38147i −0.0451104 + 0.0781335i −0.887699 0.460424i \(-0.847697\pi\)
0.842589 + 0.538558i \(0.181031\pi\)
\(930\) 0.281558 0.866547i 0.00923265 0.0284152i
\(931\) −26.3207 23.8427i −0.862627 0.781411i
\(932\) −24.3466 + 17.6888i −0.797498 + 0.579416i
\(933\) 0.195353 + 1.85866i 0.00639556 + 0.0608497i
\(934\) 4.89346 + 8.47573i 0.160119 + 0.277334i
\(935\) −0.491865 0.218993i −0.0160857 0.00716182i
\(936\) 40.2394 + 8.55314i 1.31526 + 0.279568i
\(937\) −1.82731 + 5.62389i −0.0596957 + 0.183724i −0.976457 0.215710i \(-0.930793\pi\)
0.916762 + 0.399434i \(0.130793\pi\)
\(938\) 9.76425 + 25.5512i 0.318814 + 0.834277i
\(939\) −4.16176 3.02369i −0.135814 0.0986745i
\(940\) 2.29172 3.96938i 0.0747477 0.129467i
\(941\) 12.4359 2.64334i 0.405399 0.0861703i −0.000698820 1.00000i \(-0.500222\pi\)
0.406098 + 0.913829i \(0.366889\pi\)
\(942\) −3.08770 5.34805i −0.100603 0.174249i
\(943\) 16.4035 + 43.6864i 0.534172 + 1.42262i
\(944\) −0.772159 −0.0251316
\(945\) −0.508192 3.24004i −0.0165315 0.105399i
\(946\) −8.12597 −0.264198
\(947\) 0.576015 0.256458i 0.0187180 0.00833377i −0.397356 0.917664i \(-0.630072\pi\)
0.416074 + 0.909331i \(0.363406\pi\)
\(948\) −0.191991 + 1.82667i −0.00623556 + 0.0593274i
\(949\) −3.91275 + 0.831680i −0.127013 + 0.0269975i
\(950\) −19.9587 4.24236i −0.647547 0.137640i
\(951\) 9.86184 7.16505i 0.319792 0.232343i
\(952\) 0.161319 2.99226i 0.00522837 0.0969798i
\(953\) 16.3552 11.8828i 0.529797 0.384920i −0.290485 0.956880i \(-0.593816\pi\)
0.820282 + 0.571959i \(0.193816\pi\)
\(954\) −1.44677 13.7651i −0.0468411 0.445663i
\(955\) 0.437972 4.16702i 0.0141724 0.134842i
\(956\) 2.39624 0.509338i 0.0775001 0.0164732i
\(957\) 0.992330 1.71877i 0.0320775 0.0555598i
\(958\) −25.3289 18.4025i −0.818340 0.594559i
\(959\) −43.6633 + 11.6294i −1.40996 + 0.375532i
\(960\) 0.725983 0.527457i 0.0234310 0.0170236i
\(961\) −3.71342 4.12417i −0.119788 0.133038i
\(962\) 28.0878 31.1946i 0.905587 1.00576i
\(963\) −21.3068 + 23.6636i −0.686604 + 0.762550i
\(964\) −7.74191 1.64559i −0.249350 0.0530010i
\(965\) 2.04567 + 6.29594i 0.0658526 + 0.202673i
\(966\) 1.35695 + 8.65139i 0.0436591 + 0.278354i
\(967\) −20.6517 + 15.0043i −0.664114 + 0.482507i −0.868050 0.496477i \(-0.834627\pi\)
0.203936 + 0.978984i \(0.434627\pi\)
\(968\) −0.531100 0.112889i −0.0170702 0.00362838i
\(969\) −0.119448 + 1.13647i −0.00383723 + 0.0365088i
\(970\) 0.322535 + 0.558647i 0.0103560 + 0.0179371i
\(971\) −16.8703 18.7364i −0.541393 0.601278i 0.408921 0.912570i \(-0.365905\pi\)
−0.950314 + 0.311291i \(0.899238\pi\)
\(972\) −13.6192 9.89489i −0.436835 0.317379i
\(973\) −1.63943 + 0.0834533i −0.0525577 + 0.00267539i
\(974\) 8.88367 6.45436i 0.284651 0.206811i
\(975\) 7.33262 12.7005i 0.234832 0.406741i
\(976\) 4.35920 + 1.94084i 0.139534 + 0.0621248i
\(977\) −8.10914 + 9.00611i −0.259434 + 0.288131i −0.858764 0.512371i \(-0.828767\pi\)
0.599330 + 0.800502i \(0.295434\pi\)
\(978\) 7.03532 + 7.81352i 0.224965 + 0.249849i
\(979\) −23.0873 16.7739i −0.737873 0.536096i
\(980\) −0.768888 + 3.56472i −0.0245612 + 0.113871i
\(981\) −15.3768 −0.490943
\(982\) 9.59791 + 10.6596i 0.306282 + 0.340160i
\(983\) −26.0373 45.0980i −0.830462 1.43840i −0.897672 0.440663i \(-0.854743\pi\)
0.0672105 0.997739i \(-0.478590\pi\)
\(984\) 6.75655 + 6.85627i 0.215391 + 0.218570i
\(985\) −1.21092 + 2.09738i −0.0385832 + 0.0668280i
\(986\) −0.116774 + 0.359394i −0.00371885 + 0.0114454i
\(987\) 10.6638 + 6.94794i 0.339434 + 0.221155i
\(988\) 29.7861 + 21.6409i 0.947623 + 0.688488i
\(989\) 19.8164 8.82282i 0.630124 0.280549i
\(990\) −2.86833 + 0.609683i −0.0911615 + 0.0193770i
\(991\) 2.47636 2.75028i 0.0786643 0.0873656i −0.702528 0.711656i \(-0.747945\pi\)
0.781192 + 0.624291i \(0.214612\pi\)
\(992\) 3.04702 + 28.9905i 0.0967431 + 0.920449i
\(993\) 1.94785 0.0618132
\(994\) 7.93711 15.5199i 0.251750 0.492260i
\(995\) −5.74971 + 4.17741i −0.182278 + 0.132433i
\(996\) −8.55162 + 3.80742i −0.270968 + 0.120643i
\(997\) 40.1068 8.52497i 1.27020 0.269989i 0.476972 0.878918i \(-0.341734\pi\)
0.793224 + 0.608930i \(0.208401\pi\)
\(998\) 2.67882 + 4.63986i 0.0847966 + 0.146872i
\(999\) −25.9785 + 11.5664i −0.821925 + 0.365944i
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 287.2.s.a.16.17 208
7.4 even 3 inner 287.2.s.a.221.10 yes 208
41.18 even 5 inner 287.2.s.a.100.10 yes 208
287.18 even 15 inner 287.2.s.a.18.17 yes 208
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
287.2.s.a.16.17 208 1.1 even 1 trivial
287.2.s.a.18.17 yes 208 287.18 even 15 inner
287.2.s.a.100.10 yes 208 41.18 even 5 inner
287.2.s.a.221.10 yes 208 7.4 even 3 inner