Properties

Label 966.2.q.j.463.3
Level $966$
Weight $2$
Character 966.463
Analytic conductor $7.714$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [966,2,Mod(85,966)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(966, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([0, 0, 8]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("966.85");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 966.q (of order \(11\), degree \(10\), 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: \(7.71354883526\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(4\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 463.3
Character \(\chi\) \(=\) 966.463
Dual form 966.2.q.j.169.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.142315 - 0.989821i) q^{2} +(-0.415415 + 0.909632i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(0.0335087 - 0.0386712i) q^{5} +(0.959493 + 0.281733i) q^{6} +(-0.841254 + 0.540641i) q^{7} +(0.415415 + 0.909632i) q^{8} +(-0.654861 - 0.755750i) q^{9} +O(q^{10})\) \(q+(-0.142315 - 0.989821i) q^{2} +(-0.415415 + 0.909632i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(0.0335087 - 0.0386712i) q^{5} +(0.959493 + 0.281733i) q^{6} +(-0.841254 + 0.540641i) q^{7} +(0.415415 + 0.909632i) q^{8} +(-0.654861 - 0.755750i) q^{9} +(-0.0430463 - 0.0276642i) q^{10} +(0.0735080 - 0.511259i) q^{11} +(0.142315 - 0.989821i) q^{12} +(-2.90851 - 1.86919i) q^{13} +(0.654861 + 0.755750i) q^{14} +(0.0212565 + 0.0465452i) q^{15} +(0.841254 - 0.540641i) q^{16} +(2.55778 + 0.751031i) q^{17} +(-0.654861 + 0.755750i) q^{18} +(-1.27742 + 0.375084i) q^{19} +(-0.0212565 + 0.0465452i) q^{20} +(-0.142315 - 0.989821i) q^{21} -0.516517 q^{22} +(-1.23319 - 4.63457i) q^{23} -1.00000 q^{24} +(0.711202 + 4.94652i) q^{25} +(-1.43624 + 3.14492i) q^{26} +(0.959493 - 0.281733i) q^{27} +(0.654861 - 0.755750i) q^{28} +(-6.48403 - 1.90388i) q^{29} +(0.0430463 - 0.0276642i) q^{30} +(-2.66153 - 5.82794i) q^{31} +(-0.654861 - 0.755750i) q^{32} +(0.434522 + 0.279250i) q^{33} +(0.379377 - 2.63863i) q^{34} +(-0.00728215 + 0.0506484i) q^{35} +(0.841254 + 0.540641i) q^{36} +(-4.42232 - 5.10363i) q^{37} +(0.553061 + 1.21104i) q^{38} +(2.90851 - 1.86919i) q^{39} +(0.0490966 + 0.0144160i) q^{40} +(0.924107 - 1.06648i) q^{41} +(-0.959493 + 0.281733i) q^{42} +(5.11759 - 11.2060i) q^{43} +(0.0735080 + 0.511259i) q^{44} -0.0511693 q^{45} +(-4.41189 + 1.88021i) q^{46} -6.09783 q^{47} +(0.142315 + 0.989821i) q^{48} +(0.415415 - 0.909632i) q^{49} +(4.79495 - 1.40793i) q^{50} +(-1.74570 + 2.01465i) q^{51} +(3.31731 + 0.974050i) q^{52} +(-9.23522 + 5.93512i) q^{53} +(-0.415415 - 0.909632i) q^{54} +(-0.0173078 - 0.0199743i) q^{55} +(-0.841254 - 0.540641i) q^{56} +(0.189470 - 1.31779i) q^{57} +(-0.961730 + 6.68898i) q^{58} +(6.76278 + 4.34617i) q^{59} +(-0.0335087 - 0.0386712i) q^{60} +(-5.30493 - 11.6162i) q^{61} +(-5.38985 + 3.46385i) q^{62} +(0.959493 + 0.281733i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(-0.169744 + 0.0498414i) q^{65} +(0.214569 - 0.469840i) q^{66} +(-1.24276 - 8.64357i) q^{67} -2.66576 q^{68} +(4.72804 + 0.803518i) q^{69} +0.0511693 q^{70} +(-0.357773 - 2.48837i) q^{71} +(0.415415 - 0.909632i) q^{72} +(-9.27120 + 2.72227i) q^{73} +(-4.42232 + 5.10363i) q^{74} +(-4.79495 - 1.40793i) q^{75} +(1.12000 - 0.719780i) q^{76} +(0.214569 + 0.469840i) q^{77} +(-2.26409 - 2.61290i) q^{78} +(-4.57727 - 2.94163i) q^{79} +(0.00728215 - 0.0506484i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(-1.18714 - 0.762926i) q^{82} +(5.44262 + 6.28112i) q^{83} +(0.415415 + 0.909632i) q^{84} +(0.114751 - 0.0737461i) q^{85} +(-11.8202 - 3.47073i) q^{86} +(4.42539 - 5.10718i) q^{87} +(0.495594 - 0.145520i) q^{88} +(-6.34017 + 13.8830i) q^{89} +(0.00728215 + 0.0506484i) q^{90} +3.45736 q^{91} +(2.48895 + 4.09941i) q^{92} +6.40693 q^{93} +(0.867812 + 6.03576i) q^{94} +(-0.0282997 + 0.0619678i) q^{95} +(0.959493 - 0.281733i) q^{96} +(5.11400 - 5.90187i) q^{97} +(-0.959493 - 0.281733i) q^{98} +(-0.434522 + 0.279250i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40 q - 4 q^{2} + 4 q^{3} - 4 q^{4} - 4 q^{5} + 4 q^{6} + 4 q^{7} - 4 q^{8} - 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 40 q - 4 q^{2} + 4 q^{3} - 4 q^{4} - 4 q^{5} + 4 q^{6} + 4 q^{7} - 4 q^{8} - 4 q^{9} - 4 q^{10} - 11 q^{11} + 4 q^{12} - 20 q^{13} + 4 q^{14} - 7 q^{15} - 4 q^{16} + 5 q^{17} - 4 q^{18} + 44 q^{19} + 7 q^{20} - 4 q^{21} + 22 q^{22} - 6 q^{23} - 40 q^{24} + 2 q^{25} + 24 q^{26} + 4 q^{27} + 4 q^{28} + 35 q^{29} + 4 q^{30} - 2 q^{31} - 4 q^{32} - 11 q^{33} + 5 q^{34} - 7 q^{35} - 4 q^{36} + 20 q^{37} - 11 q^{38} + 20 q^{39} - 4 q^{40} + 11 q^{41} - 4 q^{42} - 42 q^{43} - 11 q^{44} - 4 q^{45} - 6 q^{46} + 40 q^{47} + 4 q^{48} - 4 q^{49} - 53 q^{50} + 17 q^{51} - 9 q^{52} - 32 q^{53} + 4 q^{54} + 29 q^{55} + 4 q^{56} - 11 q^{57} - 31 q^{58} - 25 q^{59} + 4 q^{60} - 30 q^{61} - 24 q^{62} + 4 q^{63} - 4 q^{64} + 80 q^{65} - 88 q^{67} - 28 q^{68} + 6 q^{69} + 4 q^{70} - 45 q^{71} - 4 q^{72} - 39 q^{73} + 20 q^{74} + 53 q^{75} - 22 q^{76} - 2 q^{78} + 26 q^{79} + 7 q^{80} - 4 q^{81} + 22 q^{83} - 4 q^{84} + 77 q^{85} - 31 q^{86} + 9 q^{87} - 11 q^{88} + 20 q^{89} + 7 q^{90} - 24 q^{91} - 17 q^{92} - 42 q^{93} - 26 q^{94} + 84 q^{95} + 4 q^{96} + 74 q^{97} - 4 q^{98} + 11 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(829\) \(925\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{8}{11}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.142315 0.989821i −0.100632 0.699909i
\(3\) −0.415415 + 0.909632i −0.239840 + 0.525176i
\(4\) −0.959493 + 0.281733i −0.479746 + 0.140866i
\(5\) 0.0335087 0.0386712i 0.0149856 0.0172943i −0.748207 0.663465i \(-0.769085\pi\)
0.763193 + 0.646171i \(0.223631\pi\)
\(6\) 0.959493 + 0.281733i 0.391711 + 0.115017i
\(7\) −0.841254 + 0.540641i −0.317964 + 0.204343i
\(8\) 0.415415 + 0.909632i 0.146871 + 0.321603i
\(9\) −0.654861 0.755750i −0.218287 0.251917i
\(10\) −0.0430463 0.0276642i −0.0136124 0.00874819i
\(11\) 0.0735080 0.511259i 0.0221635 0.154151i −0.975734 0.218958i \(-0.929734\pi\)
0.997898 + 0.0648075i \(0.0206433\pi\)
\(12\) 0.142315 0.989821i 0.0410828 0.285737i
\(13\) −2.90851 1.86919i −0.806676 0.518419i 0.0711118 0.997468i \(-0.477345\pi\)
−0.877788 + 0.479049i \(0.840982\pi\)
\(14\) 0.654861 + 0.755750i 0.175019 + 0.201983i
\(15\) 0.0212565 + 0.0465452i 0.00548840 + 0.0120179i
\(16\) 0.841254 0.540641i 0.210313 0.135160i
\(17\) 2.55778 + 0.751031i 0.620352 + 0.182152i 0.576781 0.816899i \(-0.304308\pi\)
0.0435706 + 0.999050i \(0.486127\pi\)
\(18\) −0.654861 + 0.755750i −0.154352 + 0.178132i
\(19\) −1.27742 + 0.375084i −0.293060 + 0.0860501i −0.424958 0.905213i \(-0.639711\pi\)
0.131898 + 0.991263i \(0.457893\pi\)
\(20\) −0.0212565 + 0.0465452i −0.00475309 + 0.0104078i
\(21\) −0.142315 0.989821i −0.0310556 0.215997i
\(22\) −0.516517 −0.110122
\(23\) −1.23319 4.63457i −0.257139 0.966375i
\(24\) −1.00000 −0.204124
\(25\) 0.711202 + 4.94652i 0.142240 + 0.989303i
\(26\) −1.43624 + 3.14492i −0.281669 + 0.616770i
\(27\) 0.959493 0.281733i 0.184655 0.0542195i
\(28\) 0.654861 0.755750i 0.123757 0.142823i
\(29\) −6.48403 1.90388i −1.20405 0.353542i −0.382652 0.923893i \(-0.624989\pi\)
−0.821401 + 0.570351i \(0.806807\pi\)
\(30\) 0.0430463 0.0276642i 0.00785915 0.00505077i
\(31\) −2.66153 5.82794i −0.478025 1.04673i −0.983002 0.183596i \(-0.941226\pi\)
0.504976 0.863133i \(-0.331501\pi\)
\(32\) −0.654861 0.755750i −0.115764 0.133599i
\(33\) 0.434522 + 0.279250i 0.0756405 + 0.0486112i
\(34\) 0.379377 2.63863i 0.0650626 0.452520i
\(35\) −0.00728215 + 0.0506484i −0.00123091 + 0.00856115i
\(36\) 0.841254 + 0.540641i 0.140209 + 0.0901068i
\(37\) −4.42232 5.10363i −0.727025 0.839031i 0.265109 0.964219i \(-0.414592\pi\)
−0.992133 + 0.125188i \(0.960047\pi\)
\(38\) 0.553061 + 1.21104i 0.0897184 + 0.196456i
\(39\) 2.90851 1.86919i 0.465735 0.299310i
\(40\) 0.0490966 + 0.0144160i 0.00776285 + 0.00227938i
\(41\) 0.924107 1.06648i 0.144321 0.166556i −0.678987 0.734151i \(-0.737581\pi\)
0.823308 + 0.567595i \(0.192126\pi\)
\(42\) −0.959493 + 0.281733i −0.148053 + 0.0434723i
\(43\) 5.11759 11.2060i 0.780425 1.70889i 0.0782006 0.996938i \(-0.475083\pi\)
0.702225 0.711955i \(-0.252190\pi\)
\(44\) 0.0735080 + 0.511259i 0.0110818 + 0.0770753i
\(45\) −0.0511693 −0.00762786
\(46\) −4.41189 + 1.88021i −0.650498 + 0.277222i
\(47\) −6.09783 −0.889460 −0.444730 0.895665i \(-0.646700\pi\)
−0.444730 + 0.895665i \(0.646700\pi\)
\(48\) 0.142315 + 0.989821i 0.0205414 + 0.142868i
\(49\) 0.415415 0.909632i 0.0593450 0.129947i
\(50\) 4.79495 1.40793i 0.678109 0.199111i
\(51\) −1.74570 + 2.01465i −0.244447 + 0.282107i
\(52\) 3.31731 + 0.974050i 0.460028 + 0.135076i
\(53\) −9.23522 + 5.93512i −1.26856 + 0.815251i −0.989431 0.145004i \(-0.953681\pi\)
−0.279125 + 0.960255i \(0.590044\pi\)
\(54\) −0.415415 0.909632i −0.0565308 0.123785i
\(55\) −0.0173078 0.0199743i −0.00233379 0.00269333i
\(56\) −0.841254 0.540641i −0.112417 0.0722462i
\(57\) 0.189470 1.31779i 0.0250960 0.174546i
\(58\) −0.961730 + 6.68898i −0.126281 + 0.878306i
\(59\) 6.76278 + 4.34617i 0.880439 + 0.565823i 0.900929 0.433967i \(-0.142886\pi\)
−0.0204904 + 0.999790i \(0.506523\pi\)
\(60\) −0.0335087 0.0386712i −0.00432596 0.00499242i
\(61\) −5.30493 11.6162i −0.679227 1.48730i −0.863460 0.504417i \(-0.831707\pi\)
0.184233 0.982883i \(-0.441020\pi\)
\(62\) −5.38985 + 3.46385i −0.684511 + 0.439909i
\(63\) 0.959493 + 0.281733i 0.120885 + 0.0354950i
\(64\) −0.654861 + 0.755750i −0.0818576 + 0.0944687i
\(65\) −0.169744 + 0.0498414i −0.0210542 + 0.00618207i
\(66\) 0.214569 0.469840i 0.0264116 0.0578333i
\(67\) −1.24276 8.64357i −0.151827 1.05598i −0.913155 0.407613i \(-0.866361\pi\)
0.761328 0.648367i \(-0.224548\pi\)
\(68\) −2.66576 −0.323271
\(69\) 4.72804 + 0.803518i 0.569189 + 0.0967321i
\(70\) 0.0511693 0.00611590
\(71\) −0.357773 2.48837i −0.0424599 0.295315i −0.999976 0.00693504i \(-0.997792\pi\)
0.957516 0.288380i \(-0.0931166\pi\)
\(72\) 0.415415 0.909632i 0.0489571 0.107201i
\(73\) −9.27120 + 2.72227i −1.08511 + 0.318618i −0.774922 0.632057i \(-0.782211\pi\)
−0.310190 + 0.950675i \(0.600393\pi\)
\(74\) −4.42232 + 5.10363i −0.514084 + 0.593285i
\(75\) −4.79495 1.40793i −0.553673 0.162573i
\(76\) 1.12000 0.719780i 0.128473 0.0825644i
\(77\) 0.214569 + 0.469840i 0.0244524 + 0.0535433i
\(78\) −2.26409 2.61290i −0.256357 0.295852i
\(79\) −4.57727 2.94163i −0.514983 0.330960i 0.257201 0.966358i \(-0.417200\pi\)
−0.772185 + 0.635398i \(0.780836\pi\)
\(80\) 0.00728215 0.0506484i 0.000814169 0.00566267i
\(81\) −0.142315 + 0.989821i −0.0158128 + 0.109980i
\(82\) −1.18714 0.762926i −0.131097 0.0842510i
\(83\) 5.44262 + 6.28112i 0.597405 + 0.689442i 0.971254 0.238048i \(-0.0765074\pi\)
−0.373848 + 0.927490i \(0.621962\pi\)
\(84\) 0.415415 + 0.909632i 0.0453255 + 0.0992490i
\(85\) 0.114751 0.0737461i 0.0124465 0.00799888i
\(86\) −11.8202 3.47073i −1.27461 0.374258i
\(87\) 4.42539 5.10718i 0.474452 0.547547i
\(88\) 0.495594 0.145520i 0.0528305 0.0155124i
\(89\) −6.34017 + 13.8830i −0.672057 + 1.47160i 0.198788 + 0.980043i \(0.436300\pi\)
−0.870845 + 0.491557i \(0.836428\pi\)
\(90\) 0.00728215 + 0.0506484i 0.000767606 + 0.00533881i
\(91\) 3.45736 0.362429
\(92\) 2.48895 + 4.09941i 0.259491 + 0.427393i
\(93\) 6.40693 0.664367
\(94\) 0.867812 + 6.03576i 0.0895079 + 0.622541i
\(95\) −0.0282997 + 0.0619678i −0.00290349 + 0.00635776i
\(96\) 0.959493 0.281733i 0.0979278 0.0287542i
\(97\) 5.11400 5.90187i 0.519248 0.599244i −0.434194 0.900819i \(-0.642967\pi\)
0.953442 + 0.301575i \(0.0975123\pi\)
\(98\) −0.959493 0.281733i −0.0969234 0.0284593i
\(99\) −0.434522 + 0.279250i −0.0436711 + 0.0280657i
\(100\) −2.07599 4.54578i −0.207599 0.454578i
\(101\) −0.332880 0.384164i −0.0331228 0.0382258i 0.738946 0.673764i \(-0.235324\pi\)
−0.772069 + 0.635538i \(0.780778\pi\)
\(102\) 2.24258 + 1.44122i 0.222048 + 0.142702i
\(103\) −2.35208 + 16.3591i −0.231758 + 1.61191i 0.458737 + 0.888572i \(0.348302\pi\)
−0.690495 + 0.723337i \(0.742607\pi\)
\(104\) 0.492033 3.42217i 0.0482478 0.335571i
\(105\) −0.0430463 0.0276642i −0.00420089 0.00269975i
\(106\) 7.18902 + 8.29657i 0.698259 + 0.805834i
\(107\) −7.06257 15.4649i −0.682764 1.49504i −0.859688 0.510820i \(-0.829342\pi\)
0.176924 0.984225i \(-0.443385\pi\)
\(108\) −0.841254 + 0.540641i −0.0809497 + 0.0520232i
\(109\) −7.89986 2.31961i −0.756670 0.222178i −0.119429 0.992843i \(-0.538106\pi\)
−0.637241 + 0.770665i \(0.719924\pi\)
\(110\) −0.0173078 + 0.0199743i −0.00165024 + 0.00190448i
\(111\) 6.47952 1.90256i 0.615009 0.180583i
\(112\) −0.415415 + 0.909632i −0.0392530 + 0.0859521i
\(113\) 0.425251 + 2.95769i 0.0400043 + 0.278236i 0.999998 0.00178421i \(-0.000567933\pi\)
−0.959994 + 0.280020i \(0.909659\pi\)
\(114\) −1.33135 −0.124692
\(115\) −0.220547 0.107610i −0.0205661 0.0100346i
\(116\) 6.75776 0.627442
\(117\) 0.492033 + 3.42217i 0.0454885 + 0.316379i
\(118\) 3.33949 7.31247i 0.307425 0.673167i
\(119\) −2.55778 + 0.751031i −0.234471 + 0.0688469i
\(120\) −0.0335087 + 0.0386712i −0.00305892 + 0.00353018i
\(121\) 10.2984 + 3.02389i 0.936222 + 0.274900i
\(122\) −10.7430 + 6.90409i −0.972624 + 0.625067i
\(123\) 0.586213 + 1.28363i 0.0528571 + 0.115741i
\(124\) 4.19564 + 4.84203i 0.376780 + 0.434827i
\(125\) 0.430351 + 0.276570i 0.0384917 + 0.0247371i
\(126\) 0.142315 0.989821i 0.0126784 0.0881803i
\(127\) 0.795837 5.53517i 0.0706191 0.491167i −0.923562 0.383448i \(-0.874736\pi\)
0.994181 0.107718i \(-0.0343545\pi\)
\(128\) 0.841254 + 0.540641i 0.0743570 + 0.0477863i
\(129\) 8.06738 + 9.31025i 0.710293 + 0.819722i
\(130\) 0.0734912 + 0.160923i 0.00644561 + 0.0141139i
\(131\) 5.19979 3.34170i 0.454308 0.291966i −0.293405 0.955988i \(-0.594788\pi\)
0.747713 + 0.664022i \(0.231152\pi\)
\(132\) −0.495594 0.145520i −0.0431359 0.0126659i
\(133\) 0.871846 1.00616i 0.0755987 0.0872455i
\(134\) −8.37873 + 2.46022i −0.723812 + 0.212530i
\(135\) 0.0212565 0.0465452i 0.00182947 0.00400597i
\(136\) 0.379377 + 2.63863i 0.0325313 + 0.226260i
\(137\) 9.86530 0.842849 0.421425 0.906863i \(-0.361530\pi\)
0.421425 + 0.906863i \(0.361530\pi\)
\(138\) 0.122469 4.79427i 0.0104252 0.408115i
\(139\) 4.71292 0.399745 0.199872 0.979822i \(-0.435947\pi\)
0.199872 + 0.979822i \(0.435947\pi\)
\(140\) −0.00728215 0.0506484i −0.000615454 0.00428057i
\(141\) 2.53313 5.54678i 0.213328 0.467123i
\(142\) −2.41212 + 0.708263i −0.202421 + 0.0594361i
\(143\) −1.16944 + 1.34960i −0.0977934 + 0.112860i
\(144\) −0.959493 0.281733i −0.0799577 0.0234777i
\(145\) −0.290897 + 0.186948i −0.0241577 + 0.0155252i
\(146\) 4.01399 + 8.78941i 0.332200 + 0.727417i
\(147\) 0.654861 + 0.755750i 0.0540120 + 0.0623332i
\(148\) 5.68104 + 3.65098i 0.466979 + 0.300109i
\(149\) −1.40947 + 9.80306i −0.115468 + 0.803098i 0.846978 + 0.531627i \(0.178419\pi\)
−0.962447 + 0.271471i \(0.912490\pi\)
\(150\) −0.711202 + 4.94652i −0.0580694 + 0.403881i
\(151\) 3.47493 + 2.23320i 0.282786 + 0.181735i 0.674343 0.738419i \(-0.264427\pi\)
−0.391557 + 0.920154i \(0.628063\pi\)
\(152\) −0.871846 1.00616i −0.0707161 0.0816107i
\(153\) −1.10740 2.42486i −0.0895277 0.196038i
\(154\) 0.434522 0.279250i 0.0350148 0.0225026i
\(155\) −0.314558 0.0923625i −0.0252659 0.00741874i
\(156\) −2.26409 + 2.61290i −0.181272 + 0.209199i
\(157\) 19.5006 5.72589i 1.55632 0.456976i 0.613336 0.789822i \(-0.289827\pi\)
0.942981 + 0.332846i \(0.108009\pi\)
\(158\) −2.26028 + 4.94932i −0.179818 + 0.393747i
\(159\) −1.56232 10.8662i −0.123900 0.861745i
\(160\) −0.0511693 −0.00404529
\(161\) 3.54307 + 3.23213i 0.279233 + 0.254728i
\(162\) 1.00000 0.0785674
\(163\) −2.11080 14.6809i −0.165331 1.14990i −0.888382 0.459105i \(-0.848170\pi\)
0.723052 0.690794i \(-0.242739\pi\)
\(164\) −0.586213 + 1.28363i −0.0457756 + 0.100234i
\(165\) 0.0253592 0.00744613i 0.00197421 0.000579681i
\(166\) 5.44262 6.28112i 0.422429 0.487509i
\(167\) 4.61409 + 1.35482i 0.357049 + 0.104839i 0.455338 0.890319i \(-0.349519\pi\)
−0.0982884 + 0.995158i \(0.531337\pi\)
\(168\) 0.841254 0.540641i 0.0649041 0.0417113i
\(169\) −0.434811 0.952102i −0.0334470 0.0732386i
\(170\) −0.0893262 0.103088i −0.00685101 0.00790649i
\(171\) 1.12000 + 0.719780i 0.0856485 + 0.0550430i
\(172\) −1.75321 + 12.1938i −0.133681 + 0.929771i
\(173\) −3.28894 + 22.8751i −0.250053 + 1.73916i 0.347814 + 0.937564i \(0.386924\pi\)
−0.597867 + 0.801595i \(0.703985\pi\)
\(174\) −5.68499 3.65352i −0.430978 0.276973i
\(175\) −3.27259 3.77677i −0.247384 0.285497i
\(176\) −0.214569 0.469840i −0.0161737 0.0354155i
\(177\) −6.76278 + 4.34617i −0.508321 + 0.326678i
\(178\) 14.6440 + 4.29988i 1.09762 + 0.322289i
\(179\) −16.5051 + 19.0479i −1.23365 + 1.42371i −0.363010 + 0.931785i \(0.618251\pi\)
−0.870639 + 0.491922i \(0.836294\pi\)
\(180\) 0.0490966 0.0144160i 0.00365944 0.00107451i
\(181\) −7.68322 + 16.8239i −0.571089 + 1.25051i 0.375126 + 0.926974i \(0.377599\pi\)
−0.946215 + 0.323537i \(0.895128\pi\)
\(182\) −0.492033 3.42217i −0.0364719 0.253668i
\(183\) 12.7702 0.944001
\(184\) 3.70347 3.04702i 0.273023 0.224629i
\(185\) −0.345549 −0.0254053
\(186\) −0.911801 6.34171i −0.0668565 0.464997i
\(187\) 0.571989 1.25248i 0.0418280 0.0915905i
\(188\) 5.85082 1.71796i 0.426715 0.125295i
\(189\) −0.654861 + 0.755750i −0.0476341 + 0.0549727i
\(190\) 0.0653645 + 0.0191928i 0.00474204 + 0.00139239i
\(191\) 0.827414 0.531746i 0.0598695 0.0384758i −0.510364 0.859959i \(-0.670489\pi\)
0.570233 + 0.821483i \(0.306853\pi\)
\(192\) −0.415415 0.909632i −0.0299800 0.0656470i
\(193\) −10.6146 12.2499i −0.764056 0.881768i 0.231795 0.972765i \(-0.425540\pi\)
−0.995851 + 0.0909967i \(0.970995\pi\)
\(194\) −6.56960 4.22202i −0.471670 0.303124i
\(195\) 0.0251770 0.175110i 0.00180296 0.0125399i
\(196\) −0.142315 + 0.989821i −0.0101653 + 0.0707015i
\(197\) 12.5735 + 8.08047i 0.895822 + 0.575710i 0.905548 0.424243i \(-0.139460\pi\)
−0.00972657 + 0.999953i \(0.503096\pi\)
\(198\) 0.338247 + 0.390357i 0.0240381 + 0.0277415i
\(199\) 0.770594 + 1.68737i 0.0546260 + 0.119614i 0.934977 0.354709i \(-0.115420\pi\)
−0.880351 + 0.474323i \(0.842693\pi\)
\(200\) −4.20407 + 2.70179i −0.297272 + 0.191045i
\(201\) 8.37873 + 2.46022i 0.590990 + 0.173530i
\(202\) −0.332880 + 0.384164i −0.0234214 + 0.0270297i
\(203\) 6.48403 1.90388i 0.455089 0.133626i
\(204\) 1.10740 2.42486i 0.0775332 0.169774i
\(205\) −0.0102762 0.0714726i −0.000717721 0.00499186i
\(206\) 16.5273 1.15151
\(207\) −2.69500 + 3.96698i −0.187316 + 0.275724i
\(208\) −3.45736 −0.239725
\(209\) 0.0978646 + 0.680663i 0.00676944 + 0.0470825i
\(210\) −0.0212565 + 0.0465452i −0.00146684 + 0.00321192i
\(211\) 11.1314 3.26846i 0.766314 0.225010i 0.124863 0.992174i \(-0.460151\pi\)
0.641451 + 0.767164i \(0.278333\pi\)
\(212\) 7.18902 8.29657i 0.493744 0.569811i
\(213\) 2.41212 + 0.708263i 0.165276 + 0.0485294i
\(214\) −14.3023 + 9.19156i −0.977688 + 0.628322i
\(215\) −0.261863 0.573401i −0.0178589 0.0391056i
\(216\) 0.654861 + 0.755750i 0.0445576 + 0.0514222i
\(217\) 5.38985 + 3.46385i 0.365887 + 0.235141i
\(218\) −1.17173 + 8.14957i −0.0793596 + 0.551958i
\(219\) 1.37513 9.56425i 0.0929228 0.646292i
\(220\) 0.0222342 + 0.0142890i 0.00149903 + 0.000963366i
\(221\) −6.03551 6.96535i −0.405992 0.468540i
\(222\) −2.80532 6.14280i −0.188281 0.412278i
\(223\) 15.5026 9.96289i 1.03813 0.667165i 0.0936054 0.995609i \(-0.470161\pi\)
0.944523 + 0.328445i \(0.106524\pi\)
\(224\) 0.959493 + 0.281733i 0.0641088 + 0.0188240i
\(225\) 3.27259 3.77677i 0.218173 0.251785i
\(226\) 2.86706 0.841846i 0.190714 0.0559988i
\(227\) 7.44786 16.3085i 0.494332 1.08244i −0.483938 0.875102i \(-0.660794\pi\)
0.978270 0.207334i \(-0.0664786\pi\)
\(228\) 0.189470 + 1.31779i 0.0125480 + 0.0872731i
\(229\) 18.0131 1.19034 0.595170 0.803599i \(-0.297085\pi\)
0.595170 + 0.803599i \(0.297085\pi\)
\(230\) −0.0751272 + 0.233617i −0.00495374 + 0.0154042i
\(231\) −0.516517 −0.0339843
\(232\) −0.961730 6.68898i −0.0631407 0.439153i
\(233\) 3.15376 6.90577i 0.206610 0.452412i −0.777752 0.628571i \(-0.783640\pi\)
0.984362 + 0.176159i \(0.0563673\pi\)
\(234\) 3.31731 0.974050i 0.216859 0.0636756i
\(235\) −0.204331 + 0.235810i −0.0133291 + 0.0153826i
\(236\) −7.71330 2.26483i −0.502093 0.147428i
\(237\) 4.57727 2.94163i 0.297326 0.191080i
\(238\) 1.10740 + 2.42486i 0.0717818 + 0.157180i
\(239\) −5.67823 6.55303i −0.367294 0.423880i 0.541776 0.840523i \(-0.317752\pi\)
−0.909070 + 0.416643i \(0.863207\pi\)
\(240\) 0.0430463 + 0.0276642i 0.00277863 + 0.00178572i
\(241\) −2.38640 + 16.5978i −0.153722 + 1.06916i 0.756189 + 0.654353i \(0.227059\pi\)
−0.909911 + 0.414804i \(0.863850\pi\)
\(242\) 1.52750 10.6240i 0.0981911 0.682934i
\(243\) −0.841254 0.540641i −0.0539664 0.0346821i
\(244\) 8.36270 + 9.65108i 0.535367 + 0.617847i
\(245\) −0.0212565 0.0465452i −0.00135803 0.00297366i
\(246\) 1.18714 0.762926i 0.0756890 0.0486424i
\(247\) 4.41649 + 1.29680i 0.281014 + 0.0825132i
\(248\) 4.19564 4.84203i 0.266424 0.307469i
\(249\) −7.97445 + 2.34151i −0.505360 + 0.148387i
\(250\) 0.212509 0.465330i 0.0134403 0.0294301i
\(251\) 0.878102 + 6.10733i 0.0554253 + 0.385491i 0.998586 + 0.0531551i \(0.0169278\pi\)
−0.943161 + 0.332336i \(0.892163\pi\)
\(252\) −1.00000 −0.0629941
\(253\) −2.46012 + 0.289804i −0.154666 + 0.0182198i
\(254\) −5.59208 −0.350879
\(255\) 0.0194124 + 0.135017i 0.00121565 + 0.00845506i
\(256\) 0.415415 0.909632i 0.0259634 0.0568520i
\(257\) −10.6354 + 3.12282i −0.663415 + 0.194796i −0.596069 0.802933i \(-0.703271\pi\)
−0.0673465 + 0.997730i \(0.521453\pi\)
\(258\) 8.06738 9.31025i 0.502253 0.579631i
\(259\) 6.47952 + 1.90256i 0.402618 + 0.118219i
\(260\) 0.148826 0.0956450i 0.00922983 0.00593165i
\(261\) 2.80728 + 6.14708i 0.173766 + 0.380495i
\(262\) −4.04769 4.67129i −0.250067 0.288593i
\(263\) −7.12044 4.57603i −0.439065 0.282170i 0.302375 0.953189i \(-0.402220\pi\)
−0.741440 + 0.671019i \(0.765857\pi\)
\(264\) −0.0735080 + 0.511259i −0.00452411 + 0.0314658i
\(265\) −0.0799429 + 0.556015i −0.00491085 + 0.0341557i
\(266\) −1.12000 0.719780i −0.0686716 0.0441325i
\(267\) −9.99466 11.5345i −0.611663 0.705897i
\(268\) 3.62759 + 7.94332i 0.221591 + 0.485216i
\(269\) 24.2294 15.5713i 1.47729 0.949398i 0.479893 0.877327i \(-0.340675\pi\)
0.997399 0.0720712i \(-0.0229609\pi\)
\(270\) −0.0490966 0.0144160i −0.00298792 0.000877333i
\(271\) −1.77221 + 2.04524i −0.107654 + 0.124239i −0.807019 0.590525i \(-0.798921\pi\)
0.699365 + 0.714764i \(0.253466\pi\)
\(272\) 2.55778 0.751031i 0.155088 0.0455379i
\(273\) −1.43624 + 3.14492i −0.0869251 + 0.190339i
\(274\) −1.40398 9.76488i −0.0848174 0.589918i
\(275\) 2.58123 0.155654
\(276\) −4.76290 + 0.561073i −0.286693 + 0.0337726i
\(277\) −12.5862 −0.756230 −0.378115 0.925759i \(-0.623428\pi\)
−0.378115 + 0.925759i \(0.623428\pi\)
\(278\) −0.670718 4.66495i −0.0402270 0.279785i
\(279\) −2.66153 + 5.82794i −0.159342 + 0.348910i
\(280\) −0.0490966 + 0.0144160i −0.00293408 + 0.000861524i
\(281\) −15.2796 + 17.6336i −0.911504 + 1.05193i 0.0869430 + 0.996213i \(0.472290\pi\)
−0.998447 + 0.0557179i \(0.982255\pi\)
\(282\) −5.85082 1.71796i −0.348411 0.102303i
\(283\) −1.14405 + 0.735237i −0.0680068 + 0.0437053i −0.574202 0.818713i \(-0.694688\pi\)
0.506196 + 0.862419i \(0.331051\pi\)
\(284\) 1.04434 + 2.28678i 0.0619699 + 0.135695i
\(285\) −0.0446117 0.0514847i −0.00264257 0.00304969i
\(286\) 1.50230 + 0.965467i 0.0888326 + 0.0570893i
\(287\) −0.200828 + 1.39679i −0.0118545 + 0.0824497i
\(288\) −0.142315 + 0.989821i −0.00838598 + 0.0583258i
\(289\) −8.32314 5.34895i −0.489596 0.314644i
\(290\) 0.226444 + 0.261330i 0.0132973 + 0.0153459i
\(291\) 3.24410 + 7.10359i 0.190172 + 0.416420i
\(292\) 8.12870 5.22400i 0.475696 0.305711i
\(293\) 10.8095 + 3.17396i 0.631498 + 0.185425i 0.581790 0.813339i \(-0.302353\pi\)
0.0497084 + 0.998764i \(0.484171\pi\)
\(294\) 0.654861 0.755750i 0.0381923 0.0440762i
\(295\) 0.394684 0.115890i 0.0229794 0.00674735i
\(296\) 2.80532 6.14280i 0.163056 0.357043i
\(297\) −0.0735080 0.511259i −0.00426537 0.0296663i
\(298\) 9.90387 0.573716
\(299\) −5.07612 + 15.7848i −0.293560 + 0.912857i
\(300\) 4.99738 0.288524
\(301\) 1.75321 + 12.1938i 0.101053 + 0.702841i
\(302\) 1.71594 3.75738i 0.0987410 0.216213i
\(303\) 0.487732 0.143211i 0.0280195 0.00822726i
\(304\) −0.871846 + 1.00616i −0.0500038 + 0.0577075i
\(305\) −0.626973 0.184096i −0.0359004 0.0105413i
\(306\) −2.24258 + 1.44122i −0.128200 + 0.0823889i
\(307\) −10.8478 23.7533i −0.619116 1.35567i −0.916161 0.400811i \(-0.868728\pi\)
0.297045 0.954864i \(-0.403999\pi\)
\(308\) −0.338247 0.390357i −0.0192734 0.0222427i
\(309\) −13.9037 8.93534i −0.790952 0.508314i
\(310\) −0.0466562 + 0.324501i −0.00264989 + 0.0184304i
\(311\) 3.27662 22.7894i 0.185800 1.29227i −0.656938 0.753944i \(-0.728149\pi\)
0.842738 0.538323i \(-0.180942\pi\)
\(312\) 2.90851 + 1.86919i 0.164662 + 0.105822i
\(313\) 1.27546 + 1.47196i 0.0720931 + 0.0831999i 0.790650 0.612268i \(-0.209743\pi\)
−0.718557 + 0.695468i \(0.755197\pi\)
\(314\) −8.44284 18.4872i −0.476457 1.04330i
\(315\) 0.0430463 0.0276642i 0.00242539 0.00155870i
\(316\) 5.22061 + 1.53291i 0.293682 + 0.0862329i
\(317\) 7.40348 8.54407i 0.415821 0.479883i −0.508738 0.860921i \(-0.669888\pi\)
0.924559 + 0.381038i \(0.124433\pi\)
\(318\) −10.5332 + 3.09284i −0.590675 + 0.173438i
\(319\) −1.45001 + 3.17507i −0.0811847 + 0.177770i
\(320\) 0.00728215 + 0.0506484i 0.000407084 + 0.00283133i
\(321\) 17.0012 0.948916
\(322\) 2.69500 3.96698i 0.150187 0.221071i
\(323\) −3.54905 −0.197474
\(324\) −0.142315 0.989821i −0.00790638 0.0549901i
\(325\) 7.17743 15.7164i 0.398132 0.871788i
\(326\) −14.2311 + 4.17863i −0.788188 + 0.231433i
\(327\) 5.39171 6.22237i 0.298162 0.344098i
\(328\) 1.35399 + 0.397567i 0.0747615 + 0.0219520i
\(329\) 5.12982 3.29674i 0.282816 0.181755i
\(330\) −0.0109793 0.0240414i −0.000604392 0.00132343i
\(331\) 21.6893 + 25.0308i 1.19215 + 1.37582i 0.909029 + 0.416733i \(0.136825\pi\)
0.283123 + 0.959084i \(0.408630\pi\)
\(332\) −6.99175 4.49333i −0.383722 0.246603i
\(333\) −0.961061 + 6.68433i −0.0526658 + 0.366299i
\(334\) 0.684376 4.75994i 0.0374474 0.260452i
\(335\) −0.375900 0.241576i −0.0205376 0.0131987i
\(336\) −0.654861 0.755750i −0.0357256 0.0412295i
\(337\) −4.21834 9.23687i −0.229788 0.503165i 0.759255 0.650793i \(-0.225563\pi\)
−0.989043 + 0.147628i \(0.952836\pi\)
\(338\) −0.880531 + 0.565883i −0.0478946 + 0.0307800i
\(339\) −2.86706 0.841846i −0.155718 0.0457228i
\(340\) −0.0893262 + 0.103088i −0.00484439 + 0.00559073i
\(341\) −3.17524 + 0.932333i −0.171949 + 0.0504887i
\(342\) 0.553061 1.21104i 0.0299061 0.0654853i
\(343\) 0.142315 + 0.989821i 0.00768428 + 0.0534453i
\(344\) 12.3192 0.664208
\(345\) 0.189504 0.155914i 0.0102025 0.00839412i
\(346\) 23.1103 1.24242
\(347\) −1.16416 8.09692i −0.0624955 0.434666i −0.996915 0.0784908i \(-0.974990\pi\)
0.934419 0.356175i \(-0.115919\pi\)
\(348\) −2.80728 + 6.14708i −0.150486 + 0.329518i
\(349\) −12.4233 + 3.64780i −0.665003 + 0.195263i −0.596777 0.802407i \(-0.703552\pi\)
−0.0682264 + 0.997670i \(0.521734\pi\)
\(350\) −3.27259 + 3.77677i −0.174927 + 0.201877i
\(351\) −3.31731 0.974050i −0.177065 0.0519909i
\(352\) −0.434522 + 0.279250i −0.0231601 + 0.0148841i
\(353\) 5.07463 + 11.1119i 0.270095 + 0.591426i 0.995271 0.0971376i \(-0.0309687\pi\)
−0.725176 + 0.688564i \(0.758241\pi\)
\(354\) 5.26438 + 6.07542i 0.279799 + 0.322905i
\(355\) −0.108217 0.0695466i −0.00574354 0.00369115i
\(356\) 2.17205 15.1069i 0.115118 0.800665i
\(357\) 0.379377 2.63863i 0.0200788 0.139651i
\(358\) 21.2029 + 13.6263i 1.12061 + 0.720173i
\(359\) 15.8609 + 18.3044i 0.837105 + 0.966071i 0.999788 0.0206075i \(-0.00656002\pi\)
−0.162682 + 0.986678i \(0.552015\pi\)
\(360\) −0.0212565 0.0465452i −0.00112032 0.00245315i
\(361\) −14.4927 + 9.31390i −0.762774 + 0.490205i
\(362\) 17.7461 + 5.21073i 0.932714 + 0.273870i
\(363\) −7.02876 + 8.11162i −0.368914 + 0.425750i
\(364\) −3.31731 + 0.974050i −0.173874 + 0.0510541i
\(365\) −0.205393 + 0.449748i −0.0107508 + 0.0235409i
\(366\) −1.81739 12.6402i −0.0949965 0.660715i
\(367\) −15.9061 −0.830289 −0.415145 0.909755i \(-0.636269\pi\)
−0.415145 + 0.909755i \(0.636269\pi\)
\(368\) −3.54307 3.23213i −0.184695 0.168487i
\(369\) −1.41115 −0.0734616
\(370\) 0.0491768 + 0.342032i 0.00255658 + 0.0177814i
\(371\) 4.56040 9.98588i 0.236764 0.518441i
\(372\) −6.14740 + 1.80504i −0.318728 + 0.0935869i
\(373\) −21.5859 + 24.9115i −1.11768 + 1.28987i −0.164861 + 0.986317i \(0.552718\pi\)
−0.952815 + 0.303550i \(0.901828\pi\)
\(374\) −1.32113 0.387920i −0.0683143 0.0200589i
\(375\) −0.430351 + 0.276570i −0.0222232 + 0.0142820i
\(376\) −2.53313 5.54678i −0.130636 0.286053i
\(377\) 15.3002 + 17.6573i 0.787998 + 0.909399i
\(378\) 0.841254 + 0.540641i 0.0432694 + 0.0278076i
\(379\) −1.50385 + 10.4595i −0.0772476 + 0.537269i 0.914047 + 0.405608i \(0.132940\pi\)
−0.991295 + 0.131661i \(0.957969\pi\)
\(380\) 0.00969506 0.0674306i 0.000497346 0.00345912i
\(381\) 4.70436 + 3.02331i 0.241012 + 0.154889i
\(382\) −0.644087 0.743316i −0.0329544 0.0380314i
\(383\) 6.39261 + 13.9979i 0.326647 + 0.715257i 0.999704 0.0243337i \(-0.00774641\pi\)
−0.673057 + 0.739591i \(0.735019\pi\)
\(384\) −0.841254 + 0.540641i −0.0429300 + 0.0275895i
\(385\) 0.0253592 + 0.00744613i 0.00129242 + 0.000379490i
\(386\) −10.6146 + 12.2499i −0.540269 + 0.623504i
\(387\) −11.8202 + 3.47073i −0.600855 + 0.176427i
\(388\) −3.24410 + 7.10359i −0.164694 + 0.360630i
\(389\) −5.04809 35.1103i −0.255949 1.78016i −0.560990 0.827822i \(-0.689580\pi\)
0.305042 0.952339i \(-0.401330\pi\)
\(390\) −0.176910 −0.00895821
\(391\) 0.326472 12.7804i 0.0165104 0.646331i
\(392\) 1.00000 0.0505076
\(393\) 0.879648 + 6.11809i 0.0443724 + 0.308617i
\(394\) 6.20883 13.5954i 0.312797 0.684929i
\(395\) −0.267135 + 0.0784379i −0.0134410 + 0.00394664i
\(396\) 0.338247 0.390357i 0.0169975 0.0196162i
\(397\) −36.2994 10.6585i −1.82181 0.534933i −0.822391 0.568922i \(-0.807361\pi\)
−0.999422 + 0.0339892i \(0.989179\pi\)
\(398\) 1.56052 1.00289i 0.0782220 0.0502702i
\(399\) 0.553061 + 1.21104i 0.0276877 + 0.0606276i
\(400\) 3.27259 + 3.77677i 0.163629 + 0.188838i
\(401\) 1.31346 + 0.844110i 0.0655911 + 0.0421528i 0.573025 0.819538i \(-0.305770\pi\)
−0.507434 + 0.861690i \(0.669406\pi\)
\(402\) 1.24276 8.64357i 0.0619831 0.431102i
\(403\) −3.15242 + 21.9256i −0.157033 + 1.09219i
\(404\) 0.427628 + 0.274820i 0.0212753 + 0.0136728i
\(405\) 0.0335087 + 0.0386712i 0.00166506 + 0.00192159i
\(406\) −2.80728 6.14708i −0.139323 0.305074i
\(407\) −2.93435 + 1.88579i −0.145450 + 0.0934754i
\(408\) −2.55778 0.751031i −0.126629 0.0371816i
\(409\) −21.6969 + 25.0395i −1.07284 + 1.23812i −0.102924 + 0.994689i \(0.532820\pi\)
−0.969917 + 0.243436i \(0.921725\pi\)
\(410\) −0.0692826 + 0.0203432i −0.00342163 + 0.00100468i
\(411\) −4.09819 + 8.97379i −0.202149 + 0.442644i
\(412\) −2.35208 16.3591i −0.115879 0.805955i
\(413\) −8.03893 −0.395570
\(414\) 4.31014 + 2.10301i 0.211832 + 0.103357i
\(415\) 0.425273 0.0208759
\(416\) 0.492033 + 3.42217i 0.0241239 + 0.167785i
\(417\) −1.95782 + 4.28702i −0.0958747 + 0.209936i
\(418\) 0.659808 0.193737i 0.0322722 0.00947599i
\(419\) −0.961013 + 1.10907i −0.0469486 + 0.0541815i −0.778738 0.627349i \(-0.784140\pi\)
0.731790 + 0.681531i \(0.238685\pi\)
\(420\) 0.0490966 + 0.0144160i 0.00239567 + 0.000703431i
\(421\) 7.55928 4.85806i 0.368417 0.236767i −0.343312 0.939221i \(-0.611549\pi\)
0.711729 + 0.702454i \(0.247912\pi\)
\(422\) −4.81935 10.5529i −0.234602 0.513707i
\(423\) 3.99323 + 4.60843i 0.194157 + 0.224070i
\(424\) −9.23522 5.93512i −0.448502 0.288235i
\(425\) −1.89589 + 13.1862i −0.0919643 + 0.639625i
\(426\) 0.357773 2.48837i 0.0173342 0.120562i
\(427\) 10.7430 + 6.90409i 0.519889 + 0.334112i
\(428\) 11.1334 + 12.8487i 0.538155 + 0.621064i
\(429\) −0.741841 1.62441i −0.0358164 0.0784270i
\(430\) −0.530297 + 0.340801i −0.0255732 + 0.0164349i
\(431\) −15.2167 4.46803i −0.732963 0.215217i −0.106110 0.994354i \(-0.533839\pi\)
−0.626854 + 0.779137i \(0.715658\pi\)
\(432\) 0.654861 0.755750i 0.0315070 0.0363610i
\(433\) 9.35458 2.74675i 0.449552 0.132000i −0.0491166 0.998793i \(-0.515641\pi\)
0.498669 + 0.866793i \(0.333822\pi\)
\(434\) 2.66153 5.82794i 0.127758 0.279750i
\(435\) −0.0492110 0.342270i −0.00235949 0.0164106i
\(436\) 8.23337 0.394307
\(437\) 3.31365 + 5.45773i 0.158514 + 0.261079i
\(438\) −9.66260 −0.461697
\(439\) 0.00141301 + 0.00982772i 6.74394e−5 + 0.000469051i 0.989855 0.142080i \(-0.0453791\pi\)
−0.989788 + 0.142549i \(0.954470\pi\)
\(440\) 0.0109793 0.0240414i 0.000523419 0.00114613i
\(441\) −0.959493 + 0.281733i −0.0456901 + 0.0134158i
\(442\) −6.03551 + 6.96535i −0.287080 + 0.331308i
\(443\) −38.8421 11.4051i −1.84544 0.541871i −0.999969 0.00785530i \(-0.997500\pi\)
−0.845474 0.534016i \(-0.820682\pi\)
\(444\) −5.68104 + 3.65098i −0.269610 + 0.173268i
\(445\) 0.324422 + 0.710385i 0.0153791 + 0.0336755i
\(446\) −12.0677 13.9269i −0.571424 0.659458i
\(447\) −8.33167 5.35444i −0.394074 0.253256i
\(448\) 0.142315 0.989821i 0.00672374 0.0467647i
\(449\) 0.614570 4.27443i 0.0290033 0.201723i −0.970168 0.242435i \(-0.922054\pi\)
0.999171 + 0.0407127i \(0.0129629\pi\)
\(450\) −4.20407 2.70179i −0.198182 0.127364i
\(451\) −0.477317 0.550853i −0.0224760 0.0259387i
\(452\) −1.24130 2.71807i −0.0583860 0.127847i
\(453\) −3.47493 + 2.23320i −0.163266 + 0.104925i
\(454\) −17.2025 5.05111i −0.807353 0.237060i
\(455\) 0.115852 0.133700i 0.00543121 0.00626795i
\(456\) 1.27742 0.375084i 0.0598205 0.0175649i
\(457\) −4.64016 + 10.1605i −0.217057 + 0.475290i −0.986569 0.163343i \(-0.947772\pi\)
0.769512 + 0.638632i \(0.220500\pi\)
\(458\) −2.56354 17.8298i −0.119786 0.833131i
\(459\) 2.66576 0.124427
\(460\) 0.241930 + 0.0411154i 0.0112801 + 0.00191702i
\(461\) 42.0243 1.95727 0.978633 0.205613i \(-0.0659187\pi\)
0.978633 + 0.205613i \(0.0659187\pi\)
\(462\) 0.0735080 + 0.511259i 0.00341990 + 0.0237859i
\(463\) 6.54377 14.3289i 0.304115 0.665919i −0.694446 0.719545i \(-0.744351\pi\)
0.998561 + 0.0536260i \(0.0170779\pi\)
\(464\) −6.48403 + 1.90388i −0.301013 + 0.0883855i
\(465\) 0.214688 0.247763i 0.00995592 0.0114897i
\(466\) −7.28431 2.13887i −0.337439 0.0990810i
\(467\) −12.2111 + 7.84762i −0.565064 + 0.363145i −0.791771 0.610818i \(-0.790841\pi\)
0.226707 + 0.973963i \(0.427204\pi\)
\(468\) −1.43624 3.14492i −0.0663901 0.145374i
\(469\) 5.71854 + 6.59955i 0.264058 + 0.304739i
\(470\) 0.262489 + 0.168692i 0.0121077 + 0.00778116i
\(471\) −2.89239 + 20.1170i −0.133274 + 0.926942i
\(472\) −1.14406 + 7.95710i −0.0526596 + 0.366255i
\(473\) −5.35297 3.44014i −0.246130 0.158178i
\(474\) −3.56311 4.11204i −0.163659 0.188872i
\(475\) −2.76386 6.05200i −0.126814 0.277685i
\(476\) 2.24258 1.44122i 0.102788 0.0660581i
\(477\) 10.5332 + 3.09284i 0.482284 + 0.141611i
\(478\) −5.67823 + 6.55303i −0.259716 + 0.299729i
\(479\) −19.1859 + 5.63350i −0.876627 + 0.257401i −0.688932 0.724826i \(-0.741920\pi\)
−0.187696 + 0.982227i \(0.560102\pi\)
\(480\) 0.0212565 0.0465452i 0.000970221 0.00212449i
\(481\) 3.32273 + 23.1101i 0.151504 + 1.05373i
\(482\) 16.7685 0.763783
\(483\) −4.41189 + 1.88021i −0.200748 + 0.0855525i
\(484\) −10.7332 −0.487873
\(485\) −0.0568684 0.395529i −0.00258226 0.0179600i
\(486\) −0.415415 + 0.909632i −0.0188436 + 0.0412617i
\(487\) −37.4391 + 10.9931i −1.69653 + 0.498145i −0.979930 0.199343i \(-0.936119\pi\)
−0.716596 + 0.697488i \(0.754301\pi\)
\(488\) 8.36270 9.65108i 0.378562 0.436884i
\(489\) 14.2311 + 4.17863i 0.643553 + 0.188964i
\(490\) −0.0430463 + 0.0276642i −0.00194463 + 0.00124974i
\(491\) −17.0499 37.3340i −0.769450 1.68486i −0.727860 0.685726i \(-0.759485\pi\)
−0.0415897 0.999135i \(-0.513242\pi\)
\(492\) −0.924107 1.06648i −0.0416620 0.0480805i
\(493\) −15.1548 9.73941i −0.682539 0.438641i
\(494\) 0.655066 4.55609i 0.0294728 0.204988i
\(495\) −0.00376135 + 0.0261608i −0.000169060 + 0.00117584i
\(496\) −5.38985 3.46385i −0.242011 0.155531i
\(497\) 1.64629 + 1.89992i 0.0738463 + 0.0852231i
\(498\) 3.45256 + 7.56005i 0.154713 + 0.338774i
\(499\) 13.5728 8.72269i 0.607600 0.390481i −0.200356 0.979723i \(-0.564210\pi\)
0.807957 + 0.589242i \(0.200574\pi\)
\(500\) −0.490837 0.144123i −0.0219509 0.00644537i
\(501\) −3.14915 + 3.63431i −0.140694 + 0.162369i
\(502\) 5.92020 1.73833i 0.264231 0.0775854i
\(503\) −14.9341 + 32.7011i −0.665879 + 1.45807i 0.211062 + 0.977473i \(0.432308\pi\)
−0.876941 + 0.480599i \(0.840419\pi\)
\(504\) 0.142315 + 0.989821i 0.00633921 + 0.0440902i
\(505\) −0.0260105 −0.00115745
\(506\) 0.636965 + 2.39383i 0.0283166 + 0.106419i
\(507\) 1.04669 0.0464851
\(508\) 0.795837 + 5.53517i 0.0353095 + 0.245583i
\(509\) −13.2609 + 29.0372i −0.587777 + 1.28705i 0.348999 + 0.937123i \(0.386522\pi\)
−0.936776 + 0.349929i \(0.886206\pi\)
\(510\) 0.130880 0.0384297i 0.00579544 0.00170170i
\(511\) 6.32766 7.30251i 0.279919 0.323044i
\(512\) −0.959493 0.281733i −0.0424040 0.0124509i
\(513\) −1.12000 + 0.719780i −0.0494492 + 0.0317791i
\(514\) 4.60461 + 10.0827i 0.203100 + 0.444728i
\(515\) 0.553810 + 0.639130i 0.0244038 + 0.0281635i
\(516\) −10.3636 6.66028i −0.456232 0.293202i
\(517\) −0.448239 + 3.11757i −0.0197135 + 0.137111i
\(518\) 0.961061 6.68433i 0.0422266 0.293693i
\(519\) −19.4416 12.4944i −0.853392 0.548442i
\(520\) −0.115852 0.133700i −0.00508043 0.00586313i
\(521\) −2.02006 4.42331i −0.0885004 0.193789i 0.860206 0.509946i \(-0.170335\pi\)
−0.948707 + 0.316157i \(0.897607\pi\)
\(522\) 5.68499 3.65352i 0.248825 0.159910i
\(523\) 3.57415 + 1.04946i 0.156287 + 0.0458899i 0.358940 0.933361i \(-0.383138\pi\)
−0.202653 + 0.979251i \(0.564956\pi\)
\(524\) −4.04769 + 4.67129i −0.176824 + 0.204066i
\(525\) 4.79495 1.40793i 0.209269 0.0614469i
\(526\) −3.51610 + 7.69920i −0.153309 + 0.335701i
\(527\) −2.43064 16.9055i −0.105880 0.736414i
\(528\) 0.516517 0.0224785
\(529\) −19.9585 + 11.4306i −0.867759 + 0.496984i
\(530\) 0.561733 0.0244001
\(531\) −1.14406 7.95710i −0.0496479 0.345309i
\(532\) −0.553061 + 1.21104i −0.0239782 + 0.0525050i
\(533\) −4.68122 + 1.37453i −0.202766 + 0.0595375i
\(534\) −9.99466 + 11.5345i −0.432511 + 0.499145i
\(535\) −0.834702 0.245091i −0.0360873 0.0105962i
\(536\) 7.34621 4.72112i 0.317308 0.203921i
\(537\) −10.4701 22.9264i −0.451819 0.989345i
\(538\) −18.8610 21.7668i −0.813155 0.938431i
\(539\) −0.434522 0.279250i −0.0187162 0.0120282i
\(540\) −0.00728215 + 0.0506484i −0.000313374 + 0.00217956i
\(541\) −2.73733 + 19.0386i −0.117687 + 0.818531i 0.842405 + 0.538846i \(0.181139\pi\)
−0.960092 + 0.279686i \(0.909770\pi\)
\(542\) 2.27663 + 1.46310i 0.0977897 + 0.0628456i
\(543\) −12.1118 13.9778i −0.519769 0.599845i
\(544\) −1.10740 2.42486i −0.0474792 0.103965i
\(545\) −0.354416 + 0.227770i −0.0151815 + 0.00975658i
\(546\) 3.31731 + 0.974050i 0.141968 + 0.0416855i
\(547\) 6.54917 7.55814i 0.280022 0.323163i −0.598263 0.801300i \(-0.704142\pi\)
0.878285 + 0.478137i \(0.158688\pi\)
\(548\) −9.46568 + 2.77938i −0.404354 + 0.118729i
\(549\) −5.30493 + 11.6162i −0.226409 + 0.495767i
\(550\) −0.367348 2.55496i −0.0156638 0.108944i
\(551\) 8.99692 0.383282
\(552\) 1.23319 + 4.63457i 0.0524882 + 0.197260i
\(553\) 5.44101 0.231375
\(554\) 1.79120 + 12.4581i 0.0761008 + 0.529293i
\(555\) 0.143546 0.314323i 0.00609321 0.0133423i
\(556\) −4.52201 + 1.32778i −0.191776 + 0.0563105i
\(557\) −3.56451 + 4.11366i −0.151033 + 0.174301i −0.826224 0.563341i \(-0.809516\pi\)
0.675191 + 0.737643i \(0.264061\pi\)
\(558\) 6.14740 + 1.80504i 0.260240 + 0.0764134i
\(559\) −35.8306 + 23.0269i −1.51547 + 0.973936i
\(560\) 0.0212565 + 0.0465452i 0.000898250 + 0.00196689i
\(561\) 0.901684 + 1.04060i 0.0380691 + 0.0439341i
\(562\) 19.6286 + 12.6145i 0.827983 + 0.532112i
\(563\) 3.89518 27.0915i 0.164162 1.14177i −0.726520 0.687145i \(-0.758863\pi\)
0.890682 0.454627i \(-0.150227\pi\)
\(564\) −0.867812 + 6.03576i −0.0365415 + 0.254151i
\(565\) 0.128627 + 0.0826635i 0.00541137 + 0.00347768i
\(566\) 0.890569 + 1.02777i 0.0374334 + 0.0432004i
\(567\) −0.415415 0.909632i −0.0174458 0.0382010i
\(568\) 2.11487 1.35915i 0.0887382 0.0570286i
\(569\) 33.0601 + 9.70733i 1.38595 + 0.406953i 0.887837 0.460158i \(-0.152207\pi\)
0.498116 + 0.867110i \(0.334025\pi\)
\(570\) −0.0446117 + 0.0514847i −0.00186858 + 0.00215646i
\(571\) 24.0219 7.05346i 1.00528 0.295178i 0.262662 0.964888i \(-0.415400\pi\)
0.742623 + 0.669710i \(0.233582\pi\)
\(572\) 0.741841 1.62441i 0.0310179 0.0679198i
\(573\) 0.139974 + 0.973537i 0.00584748 + 0.0406701i
\(574\) 1.41115 0.0589003
\(575\) 22.0479 9.39612i 0.919462 0.391845i
\(576\) 1.00000 0.0416667
\(577\) −4.81891 33.5163i −0.200614 1.39530i −0.802468 0.596695i \(-0.796480\pi\)
0.601854 0.798606i \(-0.294429\pi\)
\(578\) −4.11000 + 8.99965i −0.170954 + 0.374336i
\(579\) 15.5524 4.56659i 0.646335 0.189781i
\(580\) 0.226444 0.261330i 0.00940258 0.0108512i
\(581\) −7.97445 2.34151i −0.330836 0.0971422i
\(582\) 6.56960 4.22202i 0.272319 0.175009i
\(583\) 2.35552 + 5.15787i 0.0975558 + 0.213617i
\(584\) −6.32766 7.30251i −0.261840 0.302180i
\(585\) 0.148826 + 0.0956450i 0.00615322 + 0.00395443i
\(586\) 1.60330 11.1512i 0.0662316 0.460651i
\(587\) 3.02135 21.0140i 0.124705 0.867340i −0.827410 0.561598i \(-0.810187\pi\)
0.952115 0.305742i \(-0.0989043\pi\)
\(588\) −0.841254 0.540641i −0.0346927 0.0222957i
\(589\) 5.58585 + 6.44642i 0.230161 + 0.265620i
\(590\) −0.170879 0.374174i −0.00703499 0.0154045i
\(591\) −12.5735 + 8.08047i −0.517203 + 0.332386i
\(592\) −6.47952 1.90256i −0.266307 0.0781947i
\(593\) 5.86511 6.76870i 0.240851 0.277957i −0.622435 0.782671i \(-0.713857\pi\)
0.863287 + 0.504714i \(0.168402\pi\)
\(594\) −0.495594 + 0.145520i −0.0203345 + 0.00597074i
\(595\) −0.0566647 + 0.124078i −0.00232302 + 0.00508671i
\(596\) −1.40947 9.80306i −0.0577340 0.401549i
\(597\) −1.85500 −0.0759200
\(598\) 16.3465 + 2.77805i 0.668459 + 0.113603i
\(599\) 14.6629 0.599108 0.299554 0.954079i \(-0.403162\pi\)
0.299554 + 0.954079i \(0.403162\pi\)
\(600\) −0.711202 4.94652i −0.0290347 0.201941i
\(601\) 6.31641 13.8310i 0.257652 0.564179i −0.735961 0.677024i \(-0.763269\pi\)
0.993613 + 0.112845i \(0.0359965\pi\)
\(602\) 11.8202 3.47073i 0.481756 0.141456i
\(603\) −5.71854 + 6.59955i −0.232877 + 0.268754i
\(604\) −3.96333 1.16374i −0.161266 0.0473519i
\(605\) 0.462025 0.296926i 0.0187840 0.0120717i
\(606\) −0.211165 0.462386i −0.00857798 0.0187832i
\(607\) −9.55985 11.0327i −0.388022 0.447802i 0.527810 0.849362i \(-0.323013\pi\)
−0.915832 + 0.401561i \(0.868468\pi\)
\(608\) 1.12000 + 0.719780i 0.0454220 + 0.0291909i
\(609\) −0.961730 + 6.68898i −0.0389713 + 0.271051i
\(610\) −0.0929945 + 0.646791i −0.00376524 + 0.0261878i
\(611\) 17.7356 + 11.3980i 0.717506 + 0.461113i
\(612\) 1.74570 + 2.01465i 0.0705658 + 0.0814372i
\(613\) −10.8618 23.7841i −0.438705 0.960629i −0.991834 0.127534i \(-0.959294\pi\)
0.553130 0.833095i \(-0.313433\pi\)
\(614\) −21.9678 + 14.1178i −0.886547 + 0.569749i
\(615\) 0.0692826 + 0.0203432i 0.00279375 + 0.000820318i
\(616\) −0.338247 + 0.390357i −0.0136283 + 0.0157279i
\(617\) 10.8286 3.17956i 0.435943 0.128004i −0.0563949 0.998409i \(-0.517961\pi\)
0.492338 + 0.870404i \(0.336142\pi\)
\(618\) −6.86570 + 15.0338i −0.276179 + 0.604747i
\(619\) −3.54779 24.6754i −0.142598 0.991788i −0.927941 0.372728i \(-0.878423\pi\)
0.785343 0.619061i \(-0.212486\pi\)
\(620\) 0.327838 0.0131663
\(621\) −2.48895 4.09941i −0.0998781 0.164503i
\(622\) −23.0237 −0.923168
\(623\) −2.17205 15.1069i −0.0870212 0.605246i
\(624\) 1.43624 3.14492i 0.0574955 0.125898i
\(625\) −23.9496 + 7.03225i −0.957986 + 0.281290i
\(626\) 1.27546 1.47196i 0.0509775 0.0588312i
\(627\) −0.659808 0.193737i −0.0263502 0.00773711i
\(628\) −17.0975 + 10.9879i −0.682265 + 0.438465i
\(629\) −7.47832 16.3752i −0.298180 0.652923i
\(630\) −0.0335087 0.0386712i −0.00133502 0.00154070i
\(631\) −14.4426 9.28168i −0.574950 0.369498i 0.220620 0.975360i \(-0.429192\pi\)
−0.795570 + 0.605862i \(0.792828\pi\)
\(632\) 0.774337 5.38563i 0.0308015 0.214229i
\(633\) −1.65104 + 11.4832i −0.0656228 + 0.456416i
\(634\) −9.51073 6.11218i −0.377719 0.242746i
\(635\) −0.187384 0.216252i −0.00743610 0.00858171i
\(636\) 4.56040 + 9.98588i 0.180832 + 0.395966i
\(637\) −2.90851 + 1.86919i −0.115239 + 0.0740599i
\(638\) 3.34911 + 0.983387i 0.132592 + 0.0389327i
\(639\) −1.64629 + 1.89992i −0.0651263 + 0.0751597i
\(640\) 0.0490966 0.0144160i 0.00194071 0.000569844i
\(641\) −2.13001 + 4.66406i −0.0841302 + 0.184219i −0.947022 0.321170i \(-0.895924\pi\)
0.862891 + 0.505389i \(0.168651\pi\)
\(642\) −2.41953 16.8282i −0.0954911 0.664155i
\(643\) 16.8219 0.663389 0.331695 0.943387i \(-0.392380\pi\)
0.331695 + 0.943387i \(0.392380\pi\)
\(644\) −4.31014 2.10301i −0.169843 0.0828703i
\(645\) 0.630366 0.0248206
\(646\) 0.505082 + 3.51292i 0.0198722 + 0.138214i
\(647\) 5.71530 12.5148i 0.224692 0.492006i −0.763390 0.645938i \(-0.776466\pi\)
0.988081 + 0.153932i \(0.0491937\pi\)
\(648\) −0.959493 + 0.281733i −0.0376924 + 0.0110675i
\(649\) 2.71914 3.13806i 0.106736 0.123179i
\(650\) −16.5779 4.86770i −0.650237 0.190927i
\(651\) −5.38985 + 3.46385i −0.211245 + 0.135759i
\(652\) 6.16139 + 13.4916i 0.241299 + 0.528370i
\(653\) −8.63526 9.96562i −0.337924 0.389985i 0.561199 0.827681i \(-0.310340\pi\)
−0.899123 + 0.437696i \(0.855795\pi\)
\(654\) −6.92635 4.45130i −0.270842 0.174059i
\(655\) 0.0450109 0.313058i 0.00175872 0.0122322i
\(656\) 0.200828 1.39679i 0.00784100 0.0545354i
\(657\) 8.12870 + 5.22400i 0.317131 + 0.203808i
\(658\) −3.99323 4.60843i −0.155672 0.179655i
\(659\) 4.45666 + 9.75871i 0.173607 + 0.380146i 0.976355 0.216172i \(-0.0693572\pi\)
−0.802749 + 0.596318i \(0.796630\pi\)
\(660\) −0.0222342 + 0.0142890i −0.000865463 + 0.000556199i
\(661\) −19.8648 5.83283i −0.772651 0.226871i −0.128439 0.991717i \(-0.540997\pi\)
−0.644213 + 0.764847i \(0.722815\pi\)
\(662\) 21.6893 25.0308i 0.842979 0.972849i
\(663\) 8.84314 2.59658i 0.343439 0.100843i
\(664\) −3.45256 + 7.56005i −0.133985 + 0.293387i
\(665\) −0.00969506 0.0674306i −0.000375958 0.00261485i
\(666\) 6.75307 0.261676
\(667\) −0.827614 + 32.3985i −0.0320453 + 1.25448i
\(668\) −4.80889 −0.186061
\(669\) 2.62257 + 18.2404i 0.101394 + 0.705213i
\(670\) −0.185621 + 0.406454i −0.00717118 + 0.0157027i
\(671\) −6.32884 + 1.85832i −0.244322 + 0.0717395i
\(672\) −0.654861 + 0.755750i −0.0252618 + 0.0291537i
\(673\) 40.7404 + 11.9625i 1.57043 + 0.461119i 0.947126 0.320862i \(-0.103973\pi\)
0.623302 + 0.781981i \(0.285791\pi\)
\(674\) −8.54252 + 5.48995i −0.329046 + 0.211465i
\(675\) 2.07599 + 4.54578i 0.0799048 + 0.174967i
\(676\) 0.685436 + 0.791035i 0.0263629 + 0.0304244i
\(677\) −2.67272 1.71765i −0.102721 0.0660148i 0.488272 0.872692i \(-0.337627\pi\)
−0.590993 + 0.806677i \(0.701264\pi\)
\(678\) −0.425251 + 2.95769i −0.0163317 + 0.113589i
\(679\) −1.11138 + 7.72981i −0.0426508 + 0.296643i
\(680\) 0.114751 + 0.0737461i 0.00440050 + 0.00282803i
\(681\) 11.7408 + 13.5496i 0.449909 + 0.519223i
\(682\) 1.37473 + 3.01023i 0.0526410 + 0.115268i
\(683\) 36.9509 23.7469i 1.41389 0.908651i 0.413890 0.910327i \(-0.364170\pi\)
0.999999 + 0.00167613i \(0.000533528\pi\)
\(684\) −1.27742 0.375084i −0.0488433 0.0143417i
\(685\) 0.330574 0.381502i 0.0126306 0.0145765i
\(686\) 0.959493 0.281733i 0.0366336 0.0107566i
\(687\) −7.48292 + 16.3853i −0.285491 + 0.625139i
\(688\) −1.75321 12.1938i −0.0668404 0.464886i
\(689\) 37.9546 1.44596
\(690\) −0.181296 0.165386i −0.00690182 0.00629613i
\(691\) 11.1836 0.425443 0.212722 0.977113i \(-0.431767\pi\)
0.212722 + 0.977113i \(0.431767\pi\)
\(692\) −3.28894 22.8751i −0.125027 0.869579i
\(693\) 0.214569 0.469840i 0.00815080 0.0178478i
\(694\) −7.84883 + 2.30462i −0.297937 + 0.0874823i
\(695\) 0.157924 0.182254i 0.00599040 0.00691329i
\(696\) 6.48403 + 1.90388i 0.245776 + 0.0721664i
\(697\) 3.16462 2.03378i 0.119868 0.0770347i
\(698\) 5.37869 + 11.7777i 0.203587 + 0.445792i
\(699\) 4.97159 + 5.73752i 0.188043 + 0.217013i
\(700\) 4.20407 + 2.70179i 0.158899 + 0.102118i
\(701\) −4.75052 + 33.0406i −0.179425 + 1.24793i 0.678673 + 0.734441i \(0.262555\pi\)
−0.858098 + 0.513486i \(0.828354\pi\)
\(702\) −0.492033 + 3.42217i −0.0185706 + 0.129161i
\(703\) 7.56343 + 4.86072i 0.285260 + 0.183326i
\(704\) 0.338247 + 0.390357i 0.0127481 + 0.0147121i
\(705\) −0.129618 0.283825i −0.00488171 0.0106895i
\(706\) 10.2766 6.60437i 0.386765 0.248559i
\(707\) 0.487732 + 0.143211i 0.0183430 + 0.00538600i
\(708\) 5.26438 6.07542i 0.197847 0.228328i
\(709\) −16.2942 + 4.78441i −0.611941 + 0.179682i −0.572995 0.819559i \(-0.694218\pi\)
−0.0389465 + 0.999241i \(0.512400\pi\)
\(710\) −0.0534379 + 0.117013i −0.00200549 + 0.00439141i
\(711\) 0.774337 + 5.38563i 0.0290399 + 0.201977i
\(712\) −15.2623 −0.571978
\(713\) −23.7278 + 19.5220i −0.888614 + 0.731106i
\(714\) −2.66576 −0.0997635
\(715\) 0.0130043 + 0.0904471i 0.000486334 + 0.00338253i
\(716\) 10.4701 22.9264i 0.391287 0.856798i
\(717\) 8.31967 2.44288i 0.310704 0.0912308i
\(718\) 15.8609 18.3044i 0.591923 0.683115i
\(719\) 11.9686 + 3.51431i 0.446355 + 0.131062i 0.497183 0.867646i \(-0.334368\pi\)
−0.0508278 + 0.998707i \(0.516186\pi\)
\(720\) −0.0430463 + 0.0276642i −0.00160424 + 0.00103098i
\(721\) −6.86570 15.0338i −0.255692 0.559887i
\(722\) 11.2816 + 13.0197i 0.419859 + 0.484543i
\(723\) −14.1065 9.06572i −0.524628 0.337158i
\(724\) 2.63215 18.3070i 0.0978232 0.680376i
\(725\) 4.80613 33.4274i 0.178495 1.24146i
\(726\) 9.02935 + 5.80281i 0.335111 + 0.215363i
\(727\) 20.6658 + 23.8496i 0.766451 + 0.884532i 0.996054 0.0887525i \(-0.0282880\pi\)
−0.229602 + 0.973285i \(0.573743\pi\)
\(728\) 1.43624 + 3.14492i 0.0532305 + 0.116559i
\(729\) 0.841254 0.540641i 0.0311575 0.0200237i
\(730\) 0.474400 + 0.139297i 0.0175583 + 0.00515560i
\(731\) 21.5057 24.8189i 0.795416 0.917959i
\(732\) −12.2529 + 3.59778i −0.452881 + 0.132978i
\(733\) 20.2560 44.3544i 0.748171 1.63827i −0.0214545 0.999770i \(-0.506830\pi\)
0.769625 0.638496i \(-0.220443\pi\)
\(734\) 2.26367 + 15.7442i 0.0835535 + 0.581127i
\(735\) 0.0511693 0.00188741
\(736\) −2.69500 + 3.96698i −0.0993392 + 0.146225i
\(737\) −4.51046 −0.166145
\(738\) 0.200828 + 1.39679i 0.00739257 + 0.0514164i
\(739\) 1.51454 3.31639i 0.0557134 0.121995i −0.879728 0.475478i \(-0.842275\pi\)
0.935441 + 0.353482i \(0.115003\pi\)
\(740\) 0.331552 0.0973525i 0.0121881 0.00357875i
\(741\) −3.01428 + 3.47867i −0.110732 + 0.127792i
\(742\) −10.5332 3.09284i −0.386688 0.113542i
\(743\) −5.03777 + 3.23758i −0.184818 + 0.118775i −0.629778 0.776775i \(-0.716854\pi\)
0.444960 + 0.895550i \(0.353218\pi\)
\(744\) 2.66153 + 5.82794i 0.0975765 + 0.213663i
\(745\) 0.331866 + 0.382994i 0.0121586 + 0.0140318i
\(746\) 27.7299 + 17.8209i 1.01526 + 0.652471i
\(747\) 1.18279 8.22652i 0.0432762 0.300992i
\(748\) −0.195955 + 1.36289i −0.00716481 + 0.0498324i
\(749\) 14.3023 + 9.19156i 0.522596 + 0.335852i
\(750\) 0.335000 + 0.386610i 0.0122325 + 0.0141170i
\(751\) −5.44732 11.9280i −0.198776 0.435258i 0.783827 0.620980i \(-0.213265\pi\)
−0.982602 + 0.185722i \(0.940538\pi\)
\(752\) −5.12982 + 3.29674i −0.187065 + 0.120220i
\(753\) −5.92020 1.73833i −0.215744 0.0633482i
\(754\) 15.3002 17.6573i 0.557199 0.643042i
\(755\) 0.202801 0.0595477i 0.00738068 0.00216716i
\(756\) 0.415415 0.909632i 0.0151085 0.0330830i
\(757\) −5.63535 39.1947i −0.204820 1.42456i −0.789728 0.613457i \(-0.789778\pi\)
0.584908 0.811100i \(-0.301131\pi\)
\(758\) 10.5671 0.383813
\(759\) 0.758355 2.35819i 0.0275265 0.0855969i
\(760\) −0.0681240 −0.00247112
\(761\) −0.181804 1.26447i −0.00659038 0.0458371i 0.986261 0.165195i \(-0.0528254\pi\)
−0.992851 + 0.119358i \(0.961916\pi\)
\(762\) 2.32304 5.08674i 0.0841547 0.184273i
\(763\) 7.89986 2.31961i 0.285994 0.0839755i
\(764\) −0.644087 + 0.743316i −0.0233023 + 0.0268922i
\(765\) −0.130880 0.0384297i −0.00473196 0.00138943i
\(766\) 12.9456 8.31964i 0.467744 0.300601i
\(767\) −11.5458 25.2818i −0.416895 0.912873i
\(768\) 0.654861 + 0.755750i 0.0236303 + 0.0272708i
\(769\) 26.4289 + 16.9848i 0.953050 + 0.612488i 0.922066 0.387032i \(-0.126500\pi\)
0.0309839 + 0.999520i \(0.490136\pi\)
\(770\) 0.00376135 0.0261608i 0.000135550 0.000942769i
\(771\) 1.57747 10.9715i 0.0568111 0.395130i
\(772\) 13.6358 + 8.76322i 0.490765 + 0.315395i
\(773\) −11.8778 13.7077i −0.427215 0.493033i 0.500806 0.865560i \(-0.333037\pi\)
−0.928022 + 0.372527i \(0.878492\pi\)
\(774\) 5.11759 + 11.2060i 0.183948 + 0.402790i
\(775\) 26.9351 17.3102i 0.967538 0.621799i
\(776\) 7.49296 + 2.20013i 0.268982 + 0.0789802i
\(777\) −4.42232 + 5.10363i −0.158650 + 0.183092i
\(778\) −34.0345 + 9.99342i −1.22020 + 0.358282i
\(779\) −0.780453 + 1.70895i −0.0279626 + 0.0612296i
\(780\) 0.0251770 + 0.175110i 0.000901480 + 0.00626993i
\(781\) −1.29850 −0.0464640
\(782\) −12.6967 + 1.49569i −0.454034 + 0.0534856i
\(783\) −6.75776 −0.241503
\(784\) −0.142315 0.989821i −0.00508267 0.0353508i
\(785\) 0.432014 0.945978i 0.0154192 0.0337634i
\(786\) 5.93063 1.74139i 0.211538 0.0621133i
\(787\) −2.86276 + 3.30380i −0.102046 + 0.117768i −0.804475 0.593986i \(-0.797553\pi\)
0.702429 + 0.711754i \(0.252099\pi\)
\(788\) −14.3407 4.21080i −0.510865 0.150004i
\(789\) 7.12044 4.57603i 0.253494 0.162911i
\(790\) 0.115657 + 0.253253i 0.00411488 + 0.00901034i
\(791\) −1.95679 2.25826i −0.0695755 0.0802944i
\(792\) −0.434522 0.279250i −0.0154401 0.00992272i
\(793\) −6.28336 + 43.7017i −0.223129 + 1.55189i
\(794\) −5.38403 + 37.4468i −0.191072 + 1.32894i
\(795\) −0.472560 0.303696i −0.0167600 0.0107710i
\(796\) −1.21477 1.40191i −0.0430562 0.0496895i
\(797\) −3.26267 7.14426i −0.115570 0.253063i 0.843004 0.537908i \(-0.180785\pi\)
−0.958574 + 0.284845i \(0.908058\pi\)
\(798\) 1.12000 0.719780i 0.0396476 0.0254799i
\(799\) −15.5969 4.57966i −0.551778 0.162017i
\(800\) 3.27259 3.77677i 0.115703 0.133529i
\(801\) 14.6440 4.29988i 0.517422 0.151929i
\(802\) 0.648593 1.42022i 0.0229026 0.0501497i
\(803\) 0.710279 + 4.94010i 0.0250652 + 0.174332i
\(804\) −8.73246 −0.307970
\(805\) 0.243714 0.0287097i 0.00858979 0.00101188i
\(806\) 22.1510 0.780236
\(807\) 4.09889 + 28.5084i 0.144288 + 1.00354i
\(808\) 0.211165 0.462386i 0.00742875 0.0162667i
\(809\) 30.3919 8.92386i 1.06852 0.313746i 0.300244 0.953863i \(-0.402932\pi\)
0.768278 + 0.640116i \(0.221114\pi\)
\(810\) 0.0335087 0.0386712i 0.00117738 0.00135877i
\(811\) −31.1210 9.13794i −1.09280 0.320876i −0.314815 0.949153i \(-0.601942\pi\)
−0.777990 + 0.628277i \(0.783761\pi\)
\(812\) −5.68499 + 3.65352i −0.199504 + 0.128213i
\(813\) −1.12421 2.46168i −0.0394278 0.0863349i
\(814\) 2.28420 + 2.63611i 0.0800612 + 0.0923956i
\(815\) −0.638459 0.410312i −0.0223642 0.0143726i
\(816\) −0.379377 + 2.63863i −0.0132809 + 0.0923704i
\(817\) −2.33413 + 16.2342i −0.0816608 + 0.567963i
\(818\) 27.8724 + 17.9125i 0.974537 + 0.626297i
\(819\) −2.26409 2.61290i −0.0791136 0.0913020i
\(820\) 0.0299961 + 0.0656823i 0.00104751 + 0.00229373i
\(821\) 33.2243 21.3519i 1.15953 0.745188i 0.188020 0.982165i \(-0.439793\pi\)
0.971515 + 0.236977i \(0.0761567\pi\)
\(822\) 9.46568 + 2.77938i 0.330154 + 0.0969419i
\(823\) 5.11657 5.90483i 0.178352 0.205830i −0.659533 0.751675i \(-0.729246\pi\)
0.837886 + 0.545846i \(0.183792\pi\)
\(824\) −15.8578 + 4.65628i −0.552434 + 0.162209i
\(825\) −1.07228 + 2.34797i −0.0373321 + 0.0817459i
\(826\) 1.14406 + 7.95710i 0.0398069 + 0.276863i
\(827\) 4.67455 0.162550 0.0812750 0.996692i \(-0.474101\pi\)
0.0812750 + 0.996692i \(0.474101\pi\)
\(828\) 1.46821 4.56556i 0.0510238 0.158664i
\(829\) 2.05154 0.0712531 0.0356265 0.999365i \(-0.488657\pi\)
0.0356265 + 0.999365i \(0.488657\pi\)
\(830\) −0.0605227 0.420945i −0.00210077 0.0146112i
\(831\) 5.22849 11.4488i 0.181374 0.397154i
\(832\) 3.31731 0.974050i 0.115007 0.0337691i
\(833\) 1.74570 2.01465i 0.0604849 0.0698033i
\(834\) 4.52201 + 1.32778i 0.156585 + 0.0459774i
\(835\) 0.207005 0.133034i 0.00716370 0.00460383i
\(836\) −0.285665 0.625520i −0.00987995 0.0216341i
\(837\) −4.19564 4.84203i −0.145023 0.167365i
\(838\) 1.23455 + 0.793394i 0.0426467 + 0.0274074i
\(839\) −0.849611 + 5.90918i −0.0293318 + 0.204007i −0.999217 0.0395534i \(-0.987406\pi\)
0.969886 + 0.243561i \(0.0783156\pi\)
\(840\) 0.00728215 0.0506484i 0.000251258 0.00174754i
\(841\) 14.0215 + 9.01105i 0.483499 + 0.310726i
\(842\) −5.88441 6.79097i −0.202790 0.234032i
\(843\) −9.69270 21.2241i −0.333834 0.730995i
\(844\) −9.75962 + 6.27213i −0.335940 + 0.215896i
\(845\) −0.0513889 0.0150891i −0.00176783 0.000519082i
\(846\) 3.99323 4.60843i 0.137290 0.158441i
\(847\) −10.2984 + 3.02389i −0.353859 + 0.103902i
\(848\) −4.56040 + 9.98588i −0.156605 + 0.342916i
\(849\) −0.193539 1.34609i −0.00664224 0.0461978i
\(850\) 13.3218 0.456934
\(851\) −18.1995 + 26.7893i −0.623872 + 0.918325i
\(852\) −2.51396 −0.0861267
\(853\) −0.216748 1.50752i −0.00742131 0.0516164i 0.985774 0.168075i \(-0.0537550\pi\)
−0.993196 + 0.116458i \(0.962846\pi\)
\(854\) 5.30493 11.6162i 0.181531 0.397498i
\(855\) 0.0653645 0.0191928i 0.00223542 0.000656378i
\(856\) 11.1334 12.8487i 0.380533 0.439159i
\(857\) −7.73560 2.27138i −0.264243 0.0775888i 0.146927 0.989147i \(-0.453062\pi\)
−0.411170 + 0.911559i \(0.634880\pi\)
\(858\) −1.50230 + 0.965467i −0.0512875 + 0.0329605i
\(859\) −11.9363 26.1368i −0.407260 0.891776i −0.996482 0.0838045i \(-0.973293\pi\)
0.589222 0.807971i \(-0.299434\pi\)
\(860\) 0.412802 + 0.476399i 0.0140764 + 0.0162451i
\(861\) −1.18714 0.762926i −0.0404575 0.0260004i
\(862\) −2.25699 + 15.6977i −0.0768733 + 0.534666i
\(863\) 1.77758 12.3633i 0.0605095 0.420853i −0.936941 0.349488i \(-0.886356\pi\)
0.997450 0.0713646i \(-0.0227354\pi\)
\(864\) −0.841254 0.540641i −0.0286200 0.0183930i
\(865\) 0.774397 + 0.893702i 0.0263303 + 0.0303868i
\(866\) −4.05009 8.86846i −0.137628 0.301362i
\(867\) 8.32314 5.34895i 0.282669 0.181660i
\(868\) −6.14740 1.80504i −0.208656 0.0612670i
\(869\) −1.84040 + 2.12394i −0.0624314 + 0.0720497i
\(870\) −0.331783 + 0.0974202i −0.0112485 + 0.00330286i
\(871\) −12.5419 + 27.4629i −0.424965 + 0.930545i
\(872\) −1.17173 8.14957i −0.0396798 0.275979i
\(873\) −7.80930 −0.264305
\(874\) 4.93059 4.05664i 0.166780 0.137218i
\(875\) −0.511559 −0.0172938
\(876\) 1.37513 + 9.56425i 0.0464614 + 0.323146i
\(877\) 19.0120 41.6306i 0.641991 1.40576i −0.256401 0.966571i \(-0.582537\pi\)
0.898392 0.439194i \(-0.144736\pi\)
\(878\) 0.00952659 0.00279726i 0.000321507 9.44029e-5i
\(879\) −7.37757 + 8.51416i −0.248839 + 0.287176i
\(880\) −0.0253592 0.00744613i −0.000854858 0.000251009i
\(881\) −9.10312 + 5.85022i −0.306692 + 0.197099i −0.684929 0.728610i \(-0.740167\pi\)
0.378237 + 0.925709i \(0.376530\pi\)
\(882\) 0.415415 + 0.909632i 0.0139878 + 0.0306289i
\(883\) −16.7965 19.3842i −0.565246 0.652329i 0.399120 0.916899i \(-0.369316\pi\)
−0.964367 + 0.264570i \(0.914770\pi\)
\(884\) 7.75339 + 4.98280i 0.260775 + 0.167590i
\(885\) −0.0585407 + 0.407159i −0.00196782 + 0.0136865i
\(886\) −5.76117 + 40.0698i −0.193550 + 1.34617i
\(887\) 38.5568 + 24.7790i 1.29461 + 0.831996i 0.992614 0.121313i \(-0.0387105\pi\)
0.301997 + 0.953309i \(0.402347\pi\)
\(888\) 4.42232 + 5.10363i 0.148403 + 0.171266i
\(889\) 2.32304 + 5.08674i 0.0779121 + 0.170604i
\(890\) 0.656985 0.422218i 0.0220222 0.0141528i
\(891\) 0.495594 + 0.145520i 0.0166030 + 0.00487509i
\(892\) −12.0677 + 13.9269i −0.404058 + 0.466307i
\(893\) 7.78947 2.28720i 0.260665 0.0765381i
\(894\) −4.11422 + 9.00888i −0.137600 + 0.301302i
\(895\) 0.183539 + 1.27654i 0.00613504 + 0.0426701i
\(896\) −1.00000 −0.0334077
\(897\) −12.2496 11.1746i −0.409004 0.373110i
\(898\) −4.31838 −0.144106
\(899\) 6.16173 + 42.8558i 0.205505 + 1.42932i
\(900\) −2.07599 + 4.54578i −0.0691996 + 0.151526i
\(901\) −28.0791 + 8.24477i −0.935450 + 0.274673i
\(902\) −0.477317 + 0.550853i −0.0158929 + 0.0183414i
\(903\) −11.8202 3.47073i −0.393352 0.115499i
\(904\) −2.51375 + 1.61549i −0.0836062 + 0.0537304i
\(905\) 0.393145 + 0.860867i 0.0130686 + 0.0286162i
\(906\) 2.70500 + 3.12174i 0.0898677 + 0.103713i
\(907\) 27.3368 + 17.5683i 0.907704 + 0.583346i 0.909065 0.416653i \(-0.136797\pi\)
−0.00136184 + 0.999999i \(0.500433\pi\)
\(908\) −2.55152 + 17.7462i −0.0846753 + 0.588930i
\(909\) −0.0723418 + 0.503148i −0.00239943 + 0.0166884i
\(910\) −0.148826 0.0956450i −0.00493355 0.00317060i
\(911\) 15.4930 + 17.8799i 0.513306 + 0.592387i 0.951942 0.306278i \(-0.0990836\pi\)
−0.438636 + 0.898665i \(0.644538\pi\)
\(912\) −0.553061 1.21104i −0.0183137 0.0401014i
\(913\) 3.61136 2.32088i 0.119518 0.0768099i
\(914\) 10.7175 + 3.14693i 0.354503 + 0.104091i
\(915\) 0.427913 0.493838i 0.0141464 0.0163258i
\(916\) −17.2835 + 5.07488i −0.571062 + 0.167679i
\(917\) −2.56768 + 5.62244i −0.0847923 + 0.185669i
\(918\) −0.379377 2.63863i −0.0125213 0.0870876i
\(919\) 28.4067 0.937050 0.468525 0.883450i \(-0.344786\pi\)
0.468525 + 0.883450i \(0.344786\pi\)
\(920\) 0.00626663 0.245319i 0.000206605 0.00808793i
\(921\) 26.1131 0.860457
\(922\) −5.98068 41.5966i −0.196963 1.36991i
\(923\) −3.61064 + 7.90620i −0.118846 + 0.260236i
\(924\) 0.495594 0.145520i 0.0163039 0.00478724i
\(925\) 22.1000 25.5048i 0.726644 0.838592i
\(926\) −15.1143 4.43796i −0.496686 0.145840i
\(927\) 13.9037 8.93534i 0.456656 0.293475i
\(928\) 2.80728 + 6.14708i 0.0921533 + 0.201788i
\(929\) 13.6300 + 15.7298i 0.447184 + 0.516078i 0.933925 0.357468i \(-0.116360\pi\)
−0.486741 + 0.873546i \(0.661814\pi\)
\(930\) −0.275795 0.177242i −0.00904366 0.00581201i
\(931\) −0.189470 + 1.31779i −0.00620964 + 0.0431890i
\(932\) −1.08043 + 7.51456i −0.0353907 + 0.246147i
\(933\) 19.3688 + 12.4476i 0.634106 + 0.407515i
\(934\) 9.50557 + 10.9700i 0.311032 + 0.358950i
\(935\) −0.0292682 0.0640885i −0.000957174 0.00209592i
\(936\) −2.90851 + 1.86919i −0.0950677 + 0.0610963i
\(937\) 3.11983 + 0.916065i 0.101920 + 0.0299265i 0.332295 0.943175i \(-0.392177\pi\)
−0.230375 + 0.973102i \(0.573995\pi\)
\(938\) 5.71854 6.59955i 0.186717 0.215483i
\(939\) −1.86878 + 0.548724i −0.0609854 + 0.0179069i
\(940\) 0.129618 0.283825i 0.00422769 0.00925734i
\(941\) −4.16935 28.9985i −0.135917 0.945323i −0.937635 0.347621i \(-0.886990\pi\)
0.801718 0.597702i \(-0.203920\pi\)
\(942\) 20.3239 0.662187
\(943\) −6.08226 2.96767i −0.198066 0.0966405i
\(944\) 8.03893 0.261645
\(945\) 0.00728215 + 0.0506484i 0.000236888 + 0.00164759i
\(946\) −2.64332 + 5.78807i −0.0859418 + 0.188186i
\(947\) −13.3732 + 3.92671i −0.434569 + 0.127601i −0.491698 0.870766i \(-0.663624\pi\)
0.0571289 + 0.998367i \(0.481805\pi\)
\(948\) −3.56311 + 4.11204i −0.115724 + 0.133553i
\(949\) 32.0538 + 9.41185i 1.04051 + 0.305522i
\(950\) −5.59707 + 3.59702i −0.181593 + 0.116703i
\(951\) 4.69644 + 10.2838i 0.152293 + 0.333474i
\(952\) −1.74570 2.01465i −0.0565785 0.0652951i
\(953\) −30.3451 19.5016i −0.982975 0.631720i −0.0527108 0.998610i \(-0.516786\pi\)
−0.930264 + 0.366890i \(0.880423\pi\)
\(954\) 1.56232 10.8662i 0.0505821 0.351806i
\(955\) 0.00716234 0.0498152i 0.000231768 0.00161198i
\(956\) 7.29443 + 4.68784i 0.235919 + 0.151616i
\(957\) −2.28579 2.63794i −0.0738891 0.0852726i
\(958\) 8.30660 + 18.1889i 0.268374 + 0.587657i
\(959\) −8.29922 + 5.33358i −0.267996 + 0.172230i
\(960\) −0.0490966 0.0144160i −0.00158458 0.000465276i
\(961\) −6.58049 + 7.59429i −0.212274 + 0.244977i
\(962\) 22.4020 6.57782i 0.722270 0.212077i
\(963\) −7.06257 + 15.4649i −0.227588 + 0.498348i
\(964\) −2.38640 16.5978i −0.0768608 0.534579i
\(965\) −0.829400 −0.0266993
\(966\) 2.48895 + 4.09941i 0.0800806 + 0.131896i
\(967\) 11.5573 0.371656 0.185828 0.982582i \(-0.440503\pi\)
0.185828 + 0.982582i \(0.440503\pi\)
\(968\) 1.52750 + 10.6240i 0.0490956 + 0.341467i
\(969\) 1.47433 3.22833i 0.0473622 0.103709i
\(970\) −0.383410 + 0.112579i −0.0123105 + 0.00361470i
\(971\) −33.4669 + 38.6229i −1.07400 + 1.23947i −0.104466 + 0.994528i \(0.533313\pi\)
−0.969539 + 0.244939i \(0.921232\pi\)
\(972\) 0.959493 + 0.281733i 0.0307758 + 0.00903658i
\(973\) −3.96476 + 2.54800i −0.127104 + 0.0816850i
\(974\) 16.2093 + 35.4935i 0.519381 + 1.13729i
\(975\) 11.3145 + 13.0576i 0.362354 + 0.418179i
\(976\) −10.7430 6.90409i −0.343874 0.220995i
\(977\) 4.54073 31.5815i 0.145271 1.01038i −0.778558 0.627573i \(-0.784048\pi\)
0.923828 0.382807i \(-0.125043\pi\)
\(978\) 2.11080 14.6809i 0.0674959 0.469444i
\(979\) 6.63179 + 4.26199i 0.211953 + 0.136214i
\(980\) 0.0335087 + 0.0386712i 0.00107040 + 0.00123530i
\(981\) 3.42027 + 7.48934i 0.109201 + 0.239116i
\(982\) −34.5276 + 22.1895i −1.10182 + 0.708096i
\(983\) −6.26500 1.83957i −0.199822 0.0586732i 0.180290 0.983614i \(-0.442296\pi\)
−0.380112 + 0.924940i \(0.624115\pi\)
\(984\) −0.924107 + 1.06648i −0.0294595 + 0.0339980i
\(985\) 0.733802 0.215464i 0.0233809 0.00686524i
\(986\) −7.48352 + 16.3866i −0.238324 + 0.521856i
\(987\) 0.867812 + 6.03576i 0.0276227 + 0.192120i
\(988\) −4.60294 −0.146439
\(989\) −58.2458 9.89871i −1.85211 0.314761i
\(990\) 0.0264298 0.000839994
\(991\) 6.91742 + 48.1117i 0.219739 + 1.52832i 0.739002 + 0.673703i \(0.235297\pi\)
−0.519263 + 0.854615i \(0.673793\pi\)
\(992\) −2.66153 + 5.82794i −0.0845038 + 0.185037i
\(993\) −31.7789 + 9.33112i −1.00847 + 0.296114i
\(994\) 1.64629 1.89992i 0.0522172 0.0602619i
\(995\) 0.0910740 + 0.0267418i 0.00288724 + 0.000847771i
\(996\) 6.99175 4.49333i 0.221542 0.142376i
\(997\) −14.6883 32.1630i −0.465185 1.01861i −0.986275 0.165111i \(-0.947202\pi\)
0.521090 0.853502i \(-0.325525\pi\)
\(998\) −10.5655 12.1932i −0.334445 0.385970i
\(999\) −5.68104 3.65098i −0.179740 0.115512i
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 966.2.q.j.463.3 yes 40
23.8 even 11 inner 966.2.q.j.169.3 40
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
966.2.q.j.169.3 40 23.8 even 11 inner
966.2.q.j.463.3 yes 40 1.1 even 1 trivial