Properties

Label 483.2.q.e.64.3
Level $483$
Weight $2$
Character 483.64
Analytic conductor $3.857$
Analytic rank $0$
Dimension $60$
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] = [483,2,Mod(64,483)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(483, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([0, 0, 12]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("483.64");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.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: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(60\)
Relative dimension: \(6\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 64.3
Character \(\chi\) \(=\) 483.64
Dual form 483.2.q.e.400.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.345617 + 0.101482i) q^{2} +(0.654861 - 0.755750i) q^{3} +(-1.57335 - 1.01113i) q^{4} +(-0.475765 + 3.30902i) q^{5} +(0.303026 - 0.194743i) q^{6} +(-0.415415 - 0.909632i) q^{7} +(-0.912937 - 1.05359i) q^{8} +(-0.142315 - 0.989821i) q^{9} +O(q^{10})\) \(q+(0.345617 + 0.101482i) q^{2} +(0.654861 - 0.755750i) q^{3} +(-1.57335 - 1.01113i) q^{4} +(-0.475765 + 3.30902i) q^{5} +(0.303026 - 0.194743i) q^{6} +(-0.415415 - 0.909632i) q^{7} +(-0.912937 - 1.05359i) q^{8} +(-0.142315 - 0.989821i) q^{9} +(-0.500239 + 1.09537i) q^{10} +(5.86702 - 1.72271i) q^{11} +(-1.79449 + 0.526910i) q^{12} +(1.76225 - 3.85879i) q^{13} +(-0.0512629 - 0.356541i) q^{14} +(2.18923 + 2.52651i) q^{15} +(1.34525 + 2.94570i) q^{16} +(5.60238 - 3.60043i) q^{17} +(0.0512629 - 0.356541i) q^{18} +(1.50947 + 0.970075i) q^{19} +(4.09441 - 4.72520i) q^{20} +(-0.959493 - 0.281733i) q^{21} +2.20256 q^{22} +(2.85360 + 3.85447i) q^{23} -1.39409 q^{24} +(-5.92581 - 1.73997i) q^{25} +(1.00066 - 1.15482i) q^{26} +(-0.841254 - 0.540641i) q^{27} +(-0.266164 + 1.85121i) q^{28} +(-4.03421 + 2.59263i) q^{29} +(0.500239 + 1.09537i) q^{30} +(-2.23931 - 2.58431i) q^{31} +(0.562807 + 3.91441i) q^{32} +(2.54014 - 5.56214i) q^{33} +(2.30165 - 0.675827i) q^{34} +(3.20763 - 0.941846i) q^{35} +(-0.776930 + 1.70124i) q^{36} +(1.00868 + 7.01551i) q^{37} +(0.423251 + 0.488458i) q^{38} +(-1.76225 - 3.85879i) q^{39} +(3.92068 - 2.51967i) q^{40} +(1.13870 - 7.91982i) q^{41} +(-0.303026 - 0.194743i) q^{42} +(1.60089 - 1.84752i) q^{43} +(-10.9728 - 3.22190i) q^{44} +3.34305 q^{45} +(0.595092 + 1.62176i) q^{46} -12.3605 q^{47} +(3.10716 + 0.912345i) q^{48} +(-0.654861 + 0.755750i) q^{49} +(-1.87148 - 1.20273i) q^{50} +(0.947754 - 6.59178i) q^{51} +(-6.67440 + 4.28938i) q^{52} +(-2.31189 - 5.06233i) q^{53} +(-0.235886 - 0.272227i) q^{54} +(2.90917 + 20.2337i) q^{55} +(-0.579127 + 1.26811i) q^{56} +(1.72162 - 0.505515i) q^{57} +(-1.65739 + 0.486655i) q^{58} +(-1.10137 + 2.41167i) q^{59} +(-0.889801 - 6.18870i) q^{60} +(-3.59628 - 4.15033i) q^{61} +(-0.511683 - 1.12043i) q^{62} +(-0.841254 + 0.540641i) q^{63} +(0.719000 - 5.00075i) q^{64} +(11.9304 + 7.66720i) q^{65} +(1.44237 - 1.66459i) q^{66} +(-8.98787 - 2.63908i) q^{67} -12.4550 q^{68} +(4.78173 + 0.367535i) q^{69} +1.20419 q^{70} +(12.4136 + 3.64497i) q^{71} +(-0.912937 + 1.05359i) q^{72} +(14.2159 + 9.13599i) q^{73} +(-0.363333 + 2.52704i) q^{74} +(-5.19556 + 3.33898i) q^{75} +(-1.39405 - 3.05255i) q^{76} +(-4.00428 - 4.62119i) q^{77} +(-0.217465 - 1.51250i) q^{78} +(-3.26684 + 7.15339i) q^{79} +(-10.3874 + 3.05001i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(1.19727 - 2.62166i) q^{82} +(0.226912 + 1.57821i) q^{83} +(1.22475 + 1.41344i) q^{84} +(9.24848 + 20.2514i) q^{85} +(0.740784 - 0.476073i) q^{86} +(-0.682467 + 4.74666i) q^{87} +(-7.17124 - 4.60868i) q^{88} +(4.21544 - 4.86488i) q^{89} +(1.15541 + 0.339260i) q^{90} -4.24214 q^{91} +(-0.592340 - 8.94983i) q^{92} -3.41953 q^{93} +(-4.27200 - 1.25437i) q^{94} +(-3.92815 + 4.53333i) q^{95} +(3.32687 + 2.13805i) q^{96} +(-0.793843 + 5.52130i) q^{97} +(-0.303026 + 0.194743i) q^{98} +(-2.54014 - 5.56214i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60 q - q^{2} + 6 q^{3} - 3 q^{4} + 5 q^{5} + q^{6} + 6 q^{7} + 13 q^{8} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 60 q - q^{2} + 6 q^{3} - 3 q^{4} + 5 q^{5} + q^{6} + 6 q^{7} + 13 q^{8} - 6 q^{9} - 4 q^{10} - q^{11} + 3 q^{12} + 22 q^{13} + q^{14} + 6 q^{15} - 5 q^{16} + 9 q^{17} - q^{18} - 34 q^{19} + 67 q^{20} - 6 q^{21} - 28 q^{22} - 13 q^{23} + 42 q^{24} - 15 q^{25} - 4 q^{26} + 6 q^{27} + 14 q^{28} - 23 q^{29} + 4 q^{30} + 27 q^{31} + 37 q^{32} + q^{33} + 3 q^{34} + 6 q^{35} - 3 q^{36} - 82 q^{37} + 2 q^{38} - 22 q^{39} + 57 q^{40} - 22 q^{41} - q^{42} + 25 q^{43} - 41 q^{44} + 16 q^{45} - 47 q^{46} - 90 q^{47} - 28 q^{48} - 6 q^{49} + 55 q^{50} - 9 q^{51} - 92 q^{52} - 17 q^{53} - 10 q^{54} + 21 q^{55} + 9 q^{56} - 32 q^{57} + 87 q^{58} + 38 q^{59} - 45 q^{60} + 23 q^{61} + q^{62} + 6 q^{63} - 75 q^{64} - 75 q^{65} + 61 q^{66} + 5 q^{67} + 88 q^{68} + 13 q^{69} - 18 q^{70} + 8 q^{71} + 13 q^{72} + 90 q^{73} + 79 q^{74} - 18 q^{75} - 85 q^{76} - 10 q^{77} - 18 q^{78} - 6 q^{79} - 147 q^{80} - 6 q^{81} + 112 q^{82} - 90 q^{83} - 3 q^{84} + 55 q^{85} - 8 q^{86} - 10 q^{87} - 210 q^{88} - 15 q^{89} - 4 q^{90} - 22 q^{91} + 39 q^{92} + 50 q^{93} + 144 q^{94} + 72 q^{95} + 7 q^{96} - 48 q^{97} - q^{98} - q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{6}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.345617 + 0.101482i 0.244388 + 0.0717587i 0.401632 0.915801i \(-0.368443\pi\)
−0.157245 + 0.987560i \(0.550261\pi\)
\(3\) 0.654861 0.755750i 0.378084 0.436332i
\(4\) −1.57335 1.01113i −0.786677 0.505567i
\(5\) −0.475765 + 3.30902i −0.212769 + 1.47984i 0.551085 + 0.834449i \(0.314214\pi\)
−0.763853 + 0.645390i \(0.776695\pi\)
\(6\) 0.303026 0.194743i 0.123710 0.0795034i
\(7\) −0.415415 0.909632i −0.157012 0.343809i
\(8\) −0.912937 1.05359i −0.322772 0.372499i
\(9\) −0.142315 0.989821i −0.0474383 0.329940i
\(10\) −0.500239 + 1.09537i −0.158189 + 0.346387i
\(11\) 5.86702 1.72271i 1.76897 0.519417i 0.775287 0.631609i \(-0.217605\pi\)
0.993687 + 0.112192i \(0.0357871\pi\)
\(12\) −1.79449 + 0.526910i −0.518025 + 0.152106i
\(13\) 1.76225 3.85879i 0.488760 1.07024i −0.491201 0.871046i \(-0.663442\pi\)
0.979961 0.199190i \(-0.0638309\pi\)
\(14\) −0.0512629 0.356541i −0.0137006 0.0952896i
\(15\) 2.18923 + 2.52651i 0.565257 + 0.652341i
\(16\) 1.34525 + 2.94570i 0.336314 + 0.736424i
\(17\) 5.60238 3.60043i 1.35878 0.873233i 0.360549 0.932740i \(-0.382589\pi\)
0.998228 + 0.0595077i \(0.0189531\pi\)
\(18\) 0.0512629 0.356541i 0.0120828 0.0840375i
\(19\) 1.50947 + 0.970075i 0.346295 + 0.222551i 0.702213 0.711967i \(-0.252195\pi\)
−0.355918 + 0.934517i \(0.615832\pi\)
\(20\) 4.09441 4.72520i 0.915538 1.05659i
\(21\) −0.959493 0.281733i −0.209379 0.0614791i
\(22\) 2.20256 0.469588
\(23\) 2.85360 + 3.85447i 0.595017 + 0.803713i
\(24\) −1.39409 −0.284568
\(25\) −5.92581 1.73997i −1.18516 0.347995i
\(26\) 1.00066 1.15482i 0.196246 0.226480i
\(27\) −0.841254 0.540641i −0.161899 0.104046i
\(28\) −0.266164 + 1.85121i −0.0503003 + 0.349847i
\(29\) −4.03421 + 2.59263i −0.749134 + 0.481439i −0.858660 0.512545i \(-0.828703\pi\)
0.109527 + 0.993984i \(0.465066\pi\)
\(30\) 0.500239 + 1.09537i 0.0913307 + 0.199986i
\(31\) −2.23931 2.58431i −0.402193 0.464155i 0.518138 0.855297i \(-0.326625\pi\)
−0.920330 + 0.391142i \(0.872080\pi\)
\(32\) 0.562807 + 3.91441i 0.0994911 + 0.691976i
\(33\) 2.54014 5.56214i 0.442182 0.968244i
\(34\) 2.30165 0.675827i 0.394730 0.115903i
\(35\) 3.20763 0.941846i 0.542189 0.159201i
\(36\) −0.776930 + 1.70124i −0.129488 + 0.283540i
\(37\) 1.00868 + 7.01551i 0.165826 + 1.15334i 0.887398 + 0.461004i \(0.152511\pi\)
−0.721573 + 0.692339i \(0.756580\pi\)
\(38\) 0.423251 + 0.488458i 0.0686604 + 0.0792384i
\(39\) −1.76225 3.85879i −0.282186 0.617901i
\(40\) 3.92068 2.51967i 0.619914 0.398395i
\(41\) 1.13870 7.91982i 0.177835 1.23687i −0.683925 0.729552i \(-0.739729\pi\)
0.861760 0.507316i \(-0.169362\pi\)
\(42\) −0.303026 0.194743i −0.0467579 0.0300495i
\(43\) 1.60089 1.84752i 0.244133 0.281745i −0.620438 0.784256i \(-0.713045\pi\)
0.864571 + 0.502511i \(0.167590\pi\)
\(44\) −10.9728 3.22190i −1.65421 0.485720i
\(45\) 3.34305 0.498352
\(46\) 0.595092 + 1.62176i 0.0877415 + 0.239115i
\(47\) −12.3605 −1.80297 −0.901483 0.432814i \(-0.857521\pi\)
−0.901483 + 0.432814i \(0.857521\pi\)
\(48\) 3.10716 + 0.912345i 0.448480 + 0.131686i
\(49\) −0.654861 + 0.755750i −0.0935515 + 0.107964i
\(50\) −1.87148 1.20273i −0.264667 0.170091i
\(51\) 0.947754 6.59178i 0.132712 0.923033i
\(52\) −6.67440 + 4.28938i −0.925573 + 0.594829i
\(53\) −2.31189 5.06233i −0.317562 0.695364i 0.681783 0.731555i \(-0.261205\pi\)
−0.999345 + 0.0361906i \(0.988478\pi\)
\(54\) −0.235886 0.272227i −0.0321000 0.0370454i
\(55\) 2.90917 + 20.2337i 0.392272 + 2.72831i
\(56\) −0.579127 + 1.26811i −0.0773891 + 0.169459i
\(57\) 1.72162 0.505515i 0.228035 0.0669570i
\(58\) −1.65739 + 0.486655i −0.217627 + 0.0639009i
\(59\) −1.10137 + 2.41167i −0.143387 + 0.313973i −0.967676 0.252195i \(-0.918847\pi\)
0.824290 + 0.566168i \(0.191575\pi\)
\(60\) −0.889801 6.18870i −0.114873 0.798958i
\(61\) −3.59628 4.15033i −0.460457 0.531396i 0.477276 0.878754i \(-0.341624\pi\)
−0.937733 + 0.347358i \(0.887079\pi\)
\(62\) −0.511683 1.12043i −0.0649838 0.142295i
\(63\) −0.841254 + 0.540641i −0.105988 + 0.0681143i
\(64\) 0.719000 5.00075i 0.0898750 0.625094i
\(65\) 11.9304 + 7.66720i 1.47978 + 0.951000i
\(66\) 1.44237 1.66459i 0.177544 0.204896i
\(67\) −8.98787 2.63908i −1.09804 0.322414i −0.317968 0.948101i \(-0.603001\pi\)
−0.780074 + 0.625687i \(0.784819\pi\)
\(68\) −12.4550 −1.51040
\(69\) 4.78173 + 0.367535i 0.575652 + 0.0442460i
\(70\) 1.20419 0.143928
\(71\) 12.4136 + 3.64497i 1.47323 + 0.432578i 0.917146 0.398550i \(-0.130487\pi\)
0.556080 + 0.831129i \(0.312305\pi\)
\(72\) −0.912937 + 1.05359i −0.107591 + 0.124166i
\(73\) 14.2159 + 9.13599i 1.66384 + 1.06929i 0.912225 + 0.409689i \(0.134363\pi\)
0.751618 + 0.659598i \(0.229274\pi\)
\(74\) −0.363333 + 2.52704i −0.0422366 + 0.293762i
\(75\) −5.19556 + 3.33898i −0.599932 + 0.385553i
\(76\) −1.39405 3.05255i −0.159909 0.350151i
\(77\) −4.00428 4.62119i −0.456330 0.526633i
\(78\) −0.217465 1.51250i −0.0246230 0.171257i
\(79\) −3.26684 + 7.15339i −0.367549 + 0.804819i 0.632006 + 0.774964i \(0.282232\pi\)
−0.999554 + 0.0298554i \(0.990495\pi\)
\(80\) −10.3874 + 3.05001i −1.16135 + 0.341002i
\(81\) −0.959493 + 0.281733i −0.106610 + 0.0313036i
\(82\) 1.19727 2.62166i 0.132217 0.289514i
\(83\) 0.226912 + 1.57821i 0.0249069 + 0.173231i 0.998478 0.0551534i \(-0.0175648\pi\)
−0.973571 + 0.228384i \(0.926656\pi\)
\(84\) 1.22475 + 1.41344i 0.133632 + 0.154219i
\(85\) 9.24848 + 20.2514i 1.00314 + 2.19657i
\(86\) 0.740784 0.476073i 0.0798808 0.0513363i
\(87\) −0.682467 + 4.74666i −0.0731681 + 0.508896i
\(88\) −7.17124 4.60868i −0.764457 0.491287i
\(89\) 4.21544 4.86488i 0.446836 0.515676i −0.486988 0.873409i \(-0.661905\pi\)
0.933824 + 0.357732i \(0.116450\pi\)
\(90\) 1.15541 + 0.339260i 0.121791 + 0.0357611i
\(91\) −4.24214 −0.444698
\(92\) −0.592340 8.94983i −0.0617557 0.933084i
\(93\) −3.41953 −0.354588
\(94\) −4.27200 1.25437i −0.440623 0.129379i
\(95\) −3.92815 + 4.53333i −0.403020 + 0.465110i
\(96\) 3.32687 + 2.13805i 0.339547 + 0.218214i
\(97\) −0.793843 + 5.52130i −0.0806026 + 0.560603i 0.909002 + 0.416791i \(0.136845\pi\)
−0.989605 + 0.143812i \(0.954064\pi\)
\(98\) −0.303026 + 0.194743i −0.0306102 + 0.0196720i
\(99\) −2.54014 5.56214i −0.255294 0.559016i
\(100\) 7.56405 + 8.72938i 0.756405 + 0.872938i
\(101\) −1.74346 12.1260i −0.173480 1.20658i −0.871461 0.490465i \(-0.836827\pi\)
0.697981 0.716117i \(-0.254082\pi\)
\(102\) 0.996507 2.18205i 0.0986689 0.216055i
\(103\) −6.08376 + 1.78635i −0.599451 + 0.176015i −0.567359 0.823470i \(-0.692035\pi\)
−0.0320915 + 0.999485i \(0.510217\pi\)
\(104\) −5.67439 + 1.66615i −0.556420 + 0.163380i
\(105\) 1.38875 3.04094i 0.135528 0.296766i
\(106\) −0.285291 1.98424i −0.0277099 0.192726i
\(107\) 10.8562 + 12.5287i 1.04951 + 1.21120i 0.976869 + 0.213837i \(0.0685962\pi\)
0.0726376 + 0.997358i \(0.476858\pi\)
\(108\) 0.776930 + 1.70124i 0.0747601 + 0.163702i
\(109\) −0.905192 + 0.581732i −0.0867017 + 0.0557198i −0.583273 0.812276i \(-0.698228\pi\)
0.496572 + 0.867996i \(0.334592\pi\)
\(110\) −1.04790 + 7.28833i −0.0999137 + 0.694915i
\(111\) 5.96251 + 3.83187i 0.565936 + 0.363705i
\(112\) 2.12066 2.44737i 0.200384 0.231255i
\(113\) −8.45053 2.48130i −0.794959 0.233421i −0.141058 0.990001i \(-0.545050\pi\)
−0.653901 + 0.756580i \(0.726869\pi\)
\(114\) 0.646323 0.0605337
\(115\) −14.1122 + 7.60880i −1.31597 + 0.709525i
\(116\) 8.96874 0.832726
\(117\) −4.07031 1.19515i −0.376300 0.110492i
\(118\) −0.625395 + 0.721744i −0.0575722 + 0.0664419i
\(119\) −5.60238 3.60043i −0.513569 0.330051i
\(120\) 0.663261 4.61308i 0.0605472 0.421115i
\(121\) 22.2004 14.2673i 2.01822 1.29703i
\(122\) −0.821750 1.79938i −0.0743978 0.162908i
\(123\) −5.23971 6.04695i −0.472449 0.545235i
\(124\) 0.910156 + 6.33027i 0.0817344 + 0.568475i
\(125\) 1.63314 3.57608i 0.146072 0.319854i
\(126\) −0.345617 + 0.101482i −0.0307900 + 0.00904075i
\(127\) −1.12888 + 0.331468i −0.100172 + 0.0294131i −0.331434 0.943478i \(-0.607533\pi\)
0.231263 + 0.972891i \(0.425714\pi\)
\(128\) 4.04164 8.84995i 0.357234 0.782232i
\(129\) −0.347906 2.41974i −0.0306314 0.213046i
\(130\) 3.34526 + 3.86064i 0.293399 + 0.338600i
\(131\) 1.67461 + 3.66688i 0.146311 + 0.320377i 0.968572 0.248735i \(-0.0800147\pi\)
−0.822261 + 0.569111i \(0.807287\pi\)
\(132\) −9.62061 + 6.18279i −0.837366 + 0.538143i
\(133\) 0.255356 1.77604i 0.0221422 0.154002i
\(134\) −2.83854 1.82422i −0.245212 0.157588i
\(135\) 2.18923 2.52651i 0.188419 0.217447i
\(136\) −8.90798 2.61562i −0.763853 0.224287i
\(137\) 5.09374 0.435187 0.217594 0.976039i \(-0.430179\pi\)
0.217594 + 0.976039i \(0.430179\pi\)
\(138\) 1.61535 + 0.612286i 0.137507 + 0.0521213i
\(139\) −20.1100 −1.70571 −0.852855 0.522147i \(-0.825131\pi\)
−0.852855 + 0.522147i \(0.825131\pi\)
\(140\) −5.99908 1.76149i −0.507014 0.148873i
\(141\) −8.09442 + 9.34146i −0.681673 + 0.786693i
\(142\) 3.92046 + 2.51952i 0.328997 + 0.211434i
\(143\) 3.69157 25.6755i 0.308705 2.14709i
\(144\) 2.72426 1.75078i 0.227022 0.145898i
\(145\) −6.65973 14.5828i −0.553060 1.21103i
\(146\) 3.98610 + 4.60021i 0.329892 + 0.380716i
\(147\) 0.142315 + 0.989821i 0.0117379 + 0.0816391i
\(148\) 5.50661 12.0578i 0.452641 0.991144i
\(149\) 6.51569 1.91318i 0.533786 0.156734i −0.00372096 0.999993i \(-0.501184\pi\)
0.537507 + 0.843259i \(0.319366\pi\)
\(150\) −2.13452 + 0.626751i −0.174283 + 0.0511740i
\(151\) −3.39627 + 7.43679i −0.276384 + 0.605197i −0.996018 0.0891571i \(-0.971583\pi\)
0.719633 + 0.694354i \(0.244310\pi\)
\(152\) −0.355991 2.47597i −0.0288747 0.200828i
\(153\) −4.36108 5.03296i −0.352573 0.406891i
\(154\) −0.914978 2.00352i −0.0737310 0.161448i
\(155\) 9.61691 6.18041i 0.772449 0.496423i
\(156\) −1.12911 + 7.85312i −0.0904010 + 0.628753i
\(157\) −7.13356 4.58446i −0.569320 0.365880i 0.224089 0.974569i \(-0.428059\pi\)
−0.793409 + 0.608689i \(0.791696\pi\)
\(158\) −1.85502 + 2.14080i −0.147577 + 0.170313i
\(159\) −5.33982 1.56791i −0.423475 0.124343i
\(160\) −13.2206 −1.04518
\(161\) 2.32072 4.19693i 0.182899 0.330765i
\(162\) −0.360207 −0.0283006
\(163\) −18.7587 5.50806i −1.46930 0.431424i −0.553426 0.832898i \(-0.686680\pi\)
−0.915871 + 0.401474i \(0.868498\pi\)
\(164\) −9.79957 + 11.3093i −0.765218 + 0.883109i
\(165\) 17.1967 + 11.0517i 1.33876 + 0.860370i
\(166\) −0.0817356 + 0.568483i −0.00634391 + 0.0441229i
\(167\) −3.14268 + 2.01968i −0.243188 + 0.156287i −0.656557 0.754276i \(-0.727988\pi\)
0.413370 + 0.910563i \(0.364352\pi\)
\(168\) 0.579127 + 1.26811i 0.0446806 + 0.0978370i
\(169\) −3.27155 3.77557i −0.251658 0.290428i
\(170\) 1.14128 + 7.93776i 0.0875320 + 0.608798i
\(171\) 0.745382 1.63216i 0.0570008 0.124814i
\(172\) −4.38686 + 1.28810i −0.334495 + 0.0982165i
\(173\) 10.6152 3.11689i 0.807056 0.236973i 0.147922 0.988999i \(-0.452741\pi\)
0.659133 + 0.752026i \(0.270923\pi\)
\(174\) −0.717573 + 1.57127i −0.0543991 + 0.119117i
\(175\) 0.878933 + 6.11311i 0.0664411 + 0.462108i
\(176\) 12.9672 + 14.9650i 0.977441 + 1.12803i
\(177\) 1.10137 + 2.41167i 0.0827843 + 0.181272i
\(178\) 1.95063 1.25359i 0.146206 0.0939606i
\(179\) −2.50783 + 17.4423i −0.187444 + 1.30370i 0.651153 + 0.758946i \(0.274286\pi\)
−0.838597 + 0.544753i \(0.816623\pi\)
\(180\) −5.25980 3.38027i −0.392043 0.251950i
\(181\) −10.6381 + 12.2770i −0.790723 + 0.912542i −0.997834 0.0657748i \(-0.979048\pi\)
0.207112 + 0.978317i \(0.433594\pi\)
\(182\) −1.46616 0.430502i −0.108679 0.0319109i
\(183\) −5.49168 −0.405956
\(184\) 1.45586 6.52540i 0.107327 0.481059i
\(185\) −23.6944 −1.74204
\(186\) −1.18184 0.347021i −0.0866571 0.0254448i
\(187\) 26.6668 30.7751i 1.95007 2.25050i
\(188\) 19.4475 + 12.4981i 1.41835 + 0.911520i
\(189\) −0.142315 + 0.989821i −0.0103519 + 0.0719989i
\(190\) −1.81769 + 1.16816i −0.131869 + 0.0847470i
\(191\) −2.84759 6.23534i −0.206044 0.451174i 0.778194 0.628024i \(-0.216136\pi\)
−0.984238 + 0.176851i \(0.943409\pi\)
\(192\) −3.30847 3.81818i −0.238768 0.275554i
\(193\) 3.88436 + 27.0163i 0.279602 + 1.94468i 0.325016 + 0.945709i \(0.394630\pi\)
−0.0454134 + 0.998968i \(0.514461\pi\)
\(194\) −0.834679 + 1.82769i −0.0599265 + 0.131221i
\(195\) 13.6072 3.99545i 0.974435 0.286120i
\(196\) 1.79449 0.526910i 0.128178 0.0376365i
\(197\) −7.96737 + 17.4461i −0.567652 + 1.24298i 0.380387 + 0.924828i \(0.375791\pi\)
−0.948038 + 0.318156i \(0.896936\pi\)
\(198\) −0.313458 2.18015i −0.0222765 0.154936i
\(199\) 1.26585 + 1.46086i 0.0897334 + 0.103558i 0.798840 0.601543i \(-0.205447\pi\)
−0.709107 + 0.705101i \(0.750902\pi\)
\(200\) 3.57668 + 7.83183i 0.252909 + 0.553794i
\(201\) −7.88028 + 5.06435i −0.555832 + 0.357212i
\(202\) 0.628006 4.36788i 0.0441863 0.307323i
\(203\) 4.03421 + 2.59263i 0.283146 + 0.181967i
\(204\) −8.15632 + 9.41290i −0.571057 + 0.659035i
\(205\) 25.6651 + 7.53595i 1.79253 + 0.526334i
\(206\) −2.28393 −0.159129
\(207\) 3.40913 3.37310i 0.236951 0.234447i
\(208\) 13.7375 0.952524
\(209\) 10.5272 + 3.09107i 0.728184 + 0.213814i
\(210\) 0.788578 0.910067i 0.0544170 0.0628006i
\(211\) 4.42148 + 2.84151i 0.304387 + 0.195618i 0.683913 0.729563i \(-0.260277\pi\)
−0.379526 + 0.925181i \(0.623913\pi\)
\(212\) −1.48127 + 10.3025i −0.101734 + 0.707576i
\(213\) 10.8839 6.99465i 0.745751 0.479265i
\(214\) 2.48064 + 5.43184i 0.169573 + 0.371313i
\(215\) 5.35185 + 6.17636i 0.364993 + 0.421224i
\(216\) 0.198400 + 1.37990i 0.0134994 + 0.0938905i
\(217\) −1.42052 + 3.11051i −0.0964313 + 0.211155i
\(218\) −0.371885 + 0.109195i −0.0251872 + 0.00739564i
\(219\) 16.2139 4.76085i 1.09564 0.321708i
\(220\) 15.8818 34.7764i 1.07075 2.34462i
\(221\) −4.02051 27.9633i −0.270449 1.88101i
\(222\) 1.67188 + 1.92945i 0.112209 + 0.129496i
\(223\) −6.71535 14.7046i −0.449693 0.984691i −0.989717 0.143041i \(-0.954312\pi\)
0.540023 0.841650i \(-0.318415\pi\)
\(224\) 3.32687 2.13805i 0.222286 0.142855i
\(225\) −0.878933 + 6.11311i −0.0585955 + 0.407541i
\(226\) −2.66883 1.71516i −0.177528 0.114090i
\(227\) 0.993487 1.14655i 0.0659400 0.0760989i −0.721821 0.692080i \(-0.756695\pi\)
0.787761 + 0.615981i \(0.211240\pi\)
\(228\) −3.21987 0.945439i −0.213241 0.0626132i
\(229\) −7.13850 −0.471726 −0.235863 0.971786i \(-0.575792\pi\)
−0.235863 + 0.971786i \(0.575792\pi\)
\(230\) −5.64956 + 1.19759i −0.372521 + 0.0789670i
\(231\) −6.11471 −0.402318
\(232\) 6.41453 + 1.88348i 0.421135 + 0.123656i
\(233\) −2.51342 + 2.90064i −0.164659 + 0.190027i −0.832083 0.554651i \(-0.812852\pi\)
0.667423 + 0.744678i \(0.267397\pi\)
\(234\) −1.28548 0.826127i −0.0840344 0.0540056i
\(235\) 5.88071 40.9012i 0.383615 2.66810i
\(236\) 4.17137 2.68078i 0.271533 0.174504i
\(237\) 3.26684 + 7.15339i 0.212204 + 0.464663i
\(238\) −1.57090 1.81291i −0.101826 0.117514i
\(239\) −2.67685 18.6179i −0.173151 1.20429i −0.872175 0.489194i \(-0.837291\pi\)
0.699024 0.715098i \(-0.253618\pi\)
\(240\) −4.49725 + 9.84761i −0.290296 + 0.635660i
\(241\) 0.770547 0.226253i 0.0496353 0.0145742i −0.256821 0.966459i \(-0.582675\pi\)
0.306456 + 0.951885i \(0.400857\pi\)
\(242\) 9.12071 2.67808i 0.586301 0.172154i
\(243\) −0.415415 + 0.909632i −0.0266489 + 0.0583529i
\(244\) 1.46169 + 10.1663i 0.0935750 + 0.650829i
\(245\) −2.18923 2.52651i −0.139865 0.161413i
\(246\) −1.19727 2.62166i −0.0763354 0.167151i
\(247\) 6.40338 4.11520i 0.407437 0.261844i
\(248\) −0.678434 + 4.71862i −0.0430806 + 0.299632i
\(249\) 1.34133 + 0.862019i 0.0850032 + 0.0546282i
\(250\) 0.927348 1.07022i 0.0586506 0.0676864i
\(251\) 0.326585 + 0.0958941i 0.0206139 + 0.00605278i 0.292023 0.956411i \(-0.405672\pi\)
−0.271409 + 0.962464i \(0.587490\pi\)
\(252\) 1.87025 0.117815
\(253\) 23.3823 + 17.6983i 1.47003 + 1.11268i
\(254\) −0.423797 −0.0265914
\(255\) 21.3614 + 6.27228i 1.33770 + 0.392785i
\(256\) −4.32198 + 4.98783i −0.270124 + 0.311739i
\(257\) −9.81449 6.30739i −0.612211 0.393444i 0.197475 0.980308i \(-0.436726\pi\)
−0.809686 + 0.586864i \(0.800362\pi\)
\(258\) 0.125318 0.871609i 0.00780198 0.0542640i
\(259\) 5.96251 3.83187i 0.370492 0.238101i
\(260\) −11.0182 24.1265i −0.683319 1.49626i
\(261\) 3.14037 + 3.62418i 0.194384 + 0.224331i
\(262\) 0.206649 + 1.43728i 0.0127668 + 0.0887953i
\(263\) −0.414803 + 0.908291i −0.0255778 + 0.0560076i −0.921990 0.387214i \(-0.873437\pi\)
0.896412 + 0.443222i \(0.146165\pi\)
\(264\) −8.17917 + 2.40162i −0.503393 + 0.147810i
\(265\) 17.8513 5.24160i 1.09659 0.321989i
\(266\) 0.268492 0.587916i 0.0164623 0.0360474i
\(267\) −0.916103 6.37164i −0.0560646 0.389938i
\(268\) 11.4726 + 13.2401i 0.700803 + 0.808770i
\(269\) 7.21043 + 15.7886i 0.439628 + 0.962650i 0.991666 + 0.128832i \(0.0411227\pi\)
−0.552039 + 0.833818i \(0.686150\pi\)
\(270\) 1.01303 0.651035i 0.0616511 0.0396207i
\(271\) −1.14635 + 7.97306i −0.0696360 + 0.484329i 0.924923 + 0.380154i \(0.124129\pi\)
−0.994559 + 0.104175i \(0.966780\pi\)
\(272\) 18.1424 + 11.6594i 1.10004 + 0.706956i
\(273\) −2.77801 + 3.20600i −0.168133 + 0.194036i
\(274\) 1.76048 + 0.516924i 0.106355 + 0.0312285i
\(275\) −37.7643 −2.27727
\(276\) −7.15173 5.41323i −0.430483 0.325838i
\(277\) −1.97691 −0.118781 −0.0593904 0.998235i \(-0.518916\pi\)
−0.0593904 + 0.998235i \(0.518916\pi\)
\(278\) −6.95036 2.04081i −0.416855 0.122400i
\(279\) −2.23931 + 2.58431i −0.134064 + 0.154718i
\(280\) −3.92068 2.51967i −0.234305 0.150579i
\(281\) −1.23205 + 8.56913i −0.0734982 + 0.511191i 0.919503 + 0.393084i \(0.128592\pi\)
−0.993001 + 0.118107i \(0.962317\pi\)
\(282\) −3.74556 + 2.40712i −0.223045 + 0.143342i
\(283\) −4.10986 8.99934i −0.244306 0.534955i 0.747264 0.664527i \(-0.231367\pi\)
−0.991570 + 0.129572i \(0.958640\pi\)
\(284\) −15.8455 18.2867i −0.940257 1.08511i
\(285\) 0.853669 + 5.93740i 0.0505670 + 0.351701i
\(286\) 3.88147 8.49923i 0.229516 0.502570i
\(287\) −7.67715 + 2.25422i −0.453168 + 0.133062i
\(288\) 3.79447 1.11416i 0.223591 0.0656523i
\(289\) 11.3615 24.8782i 0.668323 1.46342i
\(290\) −0.821821 5.71589i −0.0482590 0.335649i
\(291\) 3.65286 + 4.21563i 0.214135 + 0.247125i
\(292\) −13.1289 28.7483i −0.768312 1.68237i
\(293\) 2.19527 1.41081i 0.128249 0.0824206i −0.474943 0.880016i \(-0.657531\pi\)
0.603192 + 0.797596i \(0.293895\pi\)
\(294\) −0.0512629 + 0.356541i −0.00298971 + 0.0207939i
\(295\) −7.45628 4.79186i −0.434121 0.278993i
\(296\) 6.47058 7.46744i 0.376095 0.434036i
\(297\) −5.86702 1.72271i −0.340439 0.0999619i
\(298\) 2.44608 0.141698
\(299\) 19.9024 4.21890i 1.15098 0.243985i
\(300\) 11.5506 0.666875
\(301\) −2.34560 0.688730i −0.135198 0.0396977i
\(302\) −1.92851 + 2.22562i −0.110973 + 0.128070i
\(303\) −10.3059 6.62322i −0.592061 0.380494i
\(304\) −0.826931 + 5.75143i −0.0474277 + 0.329867i
\(305\) 15.4445 9.92559i 0.884351 0.568338i
\(306\) −0.996507 2.18205i −0.0569665 0.124739i
\(307\) −8.22936 9.49719i −0.469674 0.542033i 0.470647 0.882322i \(-0.344021\pi\)
−0.940321 + 0.340289i \(0.889475\pi\)
\(308\) 1.62752 + 11.3196i 0.0927364 + 0.644996i
\(309\) −2.63398 + 5.76761i −0.149842 + 0.328108i
\(310\) 3.95096 1.16011i 0.224400 0.0658897i
\(311\) 5.05815 1.48521i 0.286821 0.0842184i −0.135157 0.990824i \(-0.543154\pi\)
0.421979 + 0.906606i \(0.361336\pi\)
\(312\) −2.45674 + 5.37951i −0.139086 + 0.304555i
\(313\) 1.93002 + 13.4236i 0.109091 + 0.758746i 0.968779 + 0.247926i \(0.0797490\pi\)
−0.859688 + 0.510820i \(0.829342\pi\)
\(314\) −2.00024 2.30840i −0.112880 0.130270i
\(315\) −1.38875 3.04094i −0.0782473 0.171338i
\(316\) 12.3729 7.95160i 0.696032 0.447313i
\(317\) −1.35282 + 9.40906i −0.0759818 + 0.528465i 0.915910 + 0.401383i \(0.131470\pi\)
−0.991892 + 0.127082i \(0.959439\pi\)
\(318\) −1.68641 1.08379i −0.0945694 0.0607761i
\(319\) −19.2024 + 22.1608i −1.07513 + 1.24077i
\(320\) 16.2055 + 4.75837i 0.905917 + 0.266001i
\(321\) 16.5779 0.925285
\(322\) 1.22799 1.21502i 0.0684334 0.0677103i
\(323\) 11.9493 0.664877
\(324\) 1.79449 + 0.526910i 0.0996940 + 0.0292728i
\(325\) −17.1569 + 19.8002i −0.951696 + 1.09832i
\(326\) −5.92436 3.80735i −0.328120 0.210870i
\(327\) −0.153131 + 1.06505i −0.00846818 + 0.0588975i
\(328\) −9.38377 + 6.03058i −0.518132 + 0.332983i
\(329\) 5.13475 + 11.2435i 0.283088 + 0.619876i
\(330\) 4.82192 + 5.56480i 0.265438 + 0.306332i
\(331\) 0.553347 + 3.84861i 0.0304147 + 0.211539i 0.999361 0.0357306i \(-0.0113758\pi\)
−0.968947 + 0.247269i \(0.920467\pi\)
\(332\) 1.23877 2.71252i 0.0679862 0.148869i
\(333\) 6.80055 1.99682i 0.372668 0.109425i
\(334\) −1.29112 + 0.379108i −0.0706470 + 0.0207438i
\(335\) 13.0089 28.4855i 0.710751 1.55633i
\(336\) −0.460864 3.20538i −0.0251422 0.174868i
\(337\) −16.0337 18.5039i −0.873412 1.00797i −0.999872 0.0159997i \(-0.994907\pi\)
0.126460 0.991972i \(-0.459639\pi\)
\(338\) −0.747549 1.63690i −0.0406613 0.0890358i
\(339\) −7.40916 + 4.76158i −0.402410 + 0.258613i
\(340\) 5.92568 41.2140i 0.321365 2.23514i
\(341\) −17.5901 11.3045i −0.952558 0.612172i
\(342\) 0.423251 0.488458i 0.0228868 0.0264128i
\(343\) 0.959493 + 0.281733i 0.0518078 + 0.0152121i
\(344\) −3.40803 −0.183749
\(345\) −3.49116 + 15.6480i −0.187958 + 0.842459i
\(346\) 3.98509 0.214239
\(347\) −5.93138 1.74161i −0.318413 0.0934945i 0.118621 0.992940i \(-0.462153\pi\)
−0.437034 + 0.899445i \(0.643971\pi\)
\(348\) 5.87327 6.77812i 0.314840 0.363345i
\(349\) −8.04613 5.17093i −0.430699 0.276794i 0.307277 0.951620i \(-0.400582\pi\)
−0.737977 + 0.674826i \(0.764218\pi\)
\(350\) −0.316598 + 2.20199i −0.0169229 + 0.117701i
\(351\) −3.56872 + 2.29348i −0.190484 + 0.122417i
\(352\) 10.0454 + 21.9964i 0.535422 + 1.17241i
\(353\) 18.7647 + 21.6556i 0.998746 + 1.15261i 0.988277 + 0.152669i \(0.0487867\pi\)
0.0104681 + 0.999945i \(0.496668\pi\)
\(354\) 0.135911 + 0.945284i 0.00722360 + 0.0502413i
\(355\) −17.9673 + 39.3428i −0.953603 + 2.08810i
\(356\) −11.5514 + 3.39181i −0.612225 + 0.179765i
\(357\) −6.38980 + 1.87622i −0.338184 + 0.0992998i
\(358\) −2.63683 + 5.77385i −0.139361 + 0.305157i
\(359\) 0.320974 + 2.23242i 0.0169403 + 0.117823i 0.996537 0.0831512i \(-0.0264985\pi\)
−0.979597 + 0.200974i \(0.935589\pi\)
\(360\) −3.05199 3.52219i −0.160854 0.185636i
\(361\) −6.55544 14.3544i −0.345023 0.755496i
\(362\) −4.92260 + 3.16356i −0.258726 + 0.166273i
\(363\) 3.75564 26.1211i 0.197120 1.37100i
\(364\) 6.67440 + 4.28938i 0.349834 + 0.224824i
\(365\) −36.9946 + 42.6941i −1.93639 + 2.23471i
\(366\) −1.89801 0.557307i −0.0992108 0.0291309i
\(367\) −2.32656 −0.121446 −0.0607228 0.998155i \(-0.519341\pi\)
−0.0607228 + 0.998155i \(0.519341\pi\)
\(368\) −7.51529 + 13.5911i −0.391761 + 0.708484i
\(369\) −8.00126 −0.416529
\(370\) −8.18916 2.40456i −0.425734 0.125007i
\(371\) −3.64446 + 4.20593i −0.189211 + 0.218361i
\(372\) 5.38013 + 3.45760i 0.278947 + 0.179268i
\(373\) 0.294080 2.04537i 0.0152269 0.105905i −0.980791 0.195064i \(-0.937509\pi\)
0.996017 + 0.0891584i \(0.0284177\pi\)
\(374\) 12.3396 7.93018i 0.638066 0.410060i
\(375\) −1.63314 3.57608i −0.0843349 0.184668i
\(376\) 11.2844 + 13.0229i 0.581947 + 0.671603i
\(377\) 2.89512 + 20.1360i 0.149106 + 1.03706i
\(378\) −0.149636 + 0.327656i −0.00769642 + 0.0168528i
\(379\) 15.4656 4.54111i 0.794414 0.233261i 0.140749 0.990045i \(-0.455049\pi\)
0.653665 + 0.756784i \(0.273231\pi\)
\(380\) 10.7642 3.16065i 0.552191 0.162138i
\(381\) −0.488751 + 1.07021i −0.0250394 + 0.0548287i
\(382\) −0.351397 2.44402i −0.0179790 0.125047i
\(383\) −3.22257 3.71904i −0.164665 0.190034i 0.667420 0.744681i \(-0.267399\pi\)
−0.832085 + 0.554647i \(0.812853\pi\)
\(384\) −4.04164 8.84995i −0.206249 0.451622i
\(385\) 17.1967 11.0517i 0.876426 0.563245i
\(386\) −1.39918 + 9.73148i −0.0712162 + 0.495319i
\(387\) −2.05655 1.32166i −0.104540 0.0671839i
\(388\) 6.83177 7.88429i 0.346831 0.400264i
\(389\) −7.15671 2.10140i −0.362859 0.106545i 0.0952204 0.995456i \(-0.469644\pi\)
−0.458080 + 0.888911i \(0.651463\pi\)
\(390\) 5.10835 0.258672
\(391\) 29.8647 + 11.3200i 1.51032 + 0.572478i
\(392\) 1.39409 0.0704123
\(393\) 3.86788 + 1.13571i 0.195109 + 0.0572890i
\(394\) −4.52413 + 5.22112i −0.227922 + 0.263036i
\(395\) −22.1165 14.2134i −1.11280 0.715153i
\(396\) −1.62752 + 11.3196i −0.0817859 + 0.568833i
\(397\) −12.8893 + 8.28342i −0.646893 + 0.415733i −0.822530 0.568722i \(-0.807438\pi\)
0.175636 + 0.984455i \(0.443802\pi\)
\(398\) 0.289246 + 0.633360i 0.0144986 + 0.0317474i
\(399\) −1.17502 1.35605i −0.0588246 0.0678872i
\(400\) −2.84628 19.7963i −0.142314 0.989816i
\(401\) 2.85859 6.25944i 0.142751 0.312581i −0.824729 0.565528i \(-0.808672\pi\)
0.967480 + 0.252947i \(0.0813997\pi\)
\(402\) −3.23750 + 0.950615i −0.161472 + 0.0474124i
\(403\) −13.9185 + 4.08685i −0.693331 + 0.203580i
\(404\) −9.51793 + 20.8414i −0.473535 + 1.03690i
\(405\) −0.475765 3.30902i −0.0236410 0.164427i
\(406\) 1.13118 + 1.30546i 0.0561397 + 0.0647887i
\(407\) 18.0036 + 39.4225i 0.892407 + 1.95410i
\(408\) −7.81024 + 5.01934i −0.386664 + 0.248494i
\(409\) 3.04619 21.1867i 0.150624 1.04762i −0.764552 0.644562i \(-0.777040\pi\)
0.915176 0.403053i \(-0.132051\pi\)
\(410\) 8.10552 + 5.20910i 0.400303 + 0.257259i
\(411\) 3.33569 3.84959i 0.164537 0.189886i
\(412\) 11.3782 + 3.34093i 0.560562 + 0.164596i
\(413\) 2.65126 0.130460
\(414\) 1.52056 0.819835i 0.0747315 0.0402927i
\(415\) −5.33029 −0.261654
\(416\) 16.0967 + 4.72641i 0.789205 + 0.231731i
\(417\) −13.1693 + 15.1981i −0.644902 + 0.744257i
\(418\) 3.32470 + 2.13665i 0.162616 + 0.104507i
\(419\) −4.05779 + 28.2225i −0.198236 + 1.37876i 0.611165 + 0.791503i \(0.290701\pi\)
−0.809401 + 0.587257i \(0.800208\pi\)
\(420\) −5.25980 + 3.38027i −0.256652 + 0.164940i
\(421\) −3.89639 8.53191i −0.189899 0.415820i 0.790604 0.612328i \(-0.209767\pi\)
−0.980502 + 0.196508i \(0.937040\pi\)
\(422\) 1.23977 + 1.43078i 0.0603513 + 0.0696491i
\(423\) 1.75909 + 12.2347i 0.0855296 + 0.594872i
\(424\) −3.22299 + 7.05736i −0.156522 + 0.342736i
\(425\) −39.4633 + 11.5875i −1.91425 + 0.562074i
\(426\) 4.47148 1.31295i 0.216644 0.0636124i
\(427\) −2.28133 + 4.99541i −0.110401 + 0.241745i
\(428\) −4.41243 30.6892i −0.213283 1.48342i
\(429\) −16.9867 19.6038i −0.820128 0.946478i
\(430\) 1.22290 + 2.67777i 0.0589733 + 0.129133i
\(431\) −1.03163 + 0.662989i −0.0496919 + 0.0319351i −0.565251 0.824919i \(-0.691221\pi\)
0.515559 + 0.856854i \(0.327584\pi\)
\(432\) 0.460864 3.20538i 0.0221733 0.154219i
\(433\) −33.7798 21.7089i −1.62335 1.04326i −0.953775 0.300521i \(-0.902839\pi\)
−0.669576 0.742744i \(-0.733524\pi\)
\(434\) −0.806617 + 0.930886i −0.0387189 + 0.0446840i
\(435\) −15.3821 4.51660i −0.737516 0.216554i
\(436\) 2.01240 0.0963764
\(437\) 0.568287 + 8.58641i 0.0271849 + 0.410744i
\(438\) 6.08695 0.290846
\(439\) −2.54729 0.747952i −0.121576 0.0356978i 0.220379 0.975414i \(-0.429271\pi\)
−0.341954 + 0.939717i \(0.611089\pi\)
\(440\) 18.6620 21.5372i 0.889678 1.02674i
\(441\) 0.841254 + 0.540641i 0.0400597 + 0.0257448i
\(442\) 1.44822 10.0726i 0.0688847 0.479104i
\(443\) −8.14637 + 5.23535i −0.387046 + 0.248739i −0.719664 0.694322i \(-0.755704\pi\)
0.332619 + 0.943061i \(0.392068\pi\)
\(444\) −5.50661 12.0578i −0.261332 0.572238i
\(445\) 14.0924 + 16.2635i 0.668045 + 0.770965i
\(446\) −0.828685 5.76363i −0.0392394 0.272916i
\(447\) 2.82098 6.17709i 0.133428 0.292166i
\(448\) −4.84753 + 1.42336i −0.229024 + 0.0672476i
\(449\) 25.5177 7.49268i 1.20426 0.353601i 0.382777 0.923841i \(-0.374968\pi\)
0.821478 + 0.570240i \(0.193150\pi\)
\(450\) −0.924146 + 2.02360i −0.0435647 + 0.0953933i
\(451\) −6.96281 48.4274i −0.327866 2.28036i
\(452\) 10.7868 + 12.4486i 0.507366 + 0.585532i
\(453\) 3.39627 + 7.43679i 0.159571 + 0.349411i
\(454\) 0.459719 0.295444i 0.0215757 0.0138659i
\(455\) 2.01827 14.0373i 0.0946178 0.658081i
\(456\) −2.10434 1.35238i −0.0985446 0.0633308i
\(457\) 0.256252 0.295731i 0.0119870 0.0138337i −0.749724 0.661750i \(-0.769814\pi\)
0.761711 + 0.647916i \(0.224359\pi\)
\(458\) −2.46718 0.724431i −0.115284 0.0338504i
\(459\) −6.65956 −0.310842
\(460\) 29.8970 + 2.29795i 1.39395 + 0.107143i
\(461\) −2.01541 −0.0938672 −0.0469336 0.998898i \(-0.514945\pi\)
−0.0469336 + 0.998898i \(0.514945\pi\)
\(462\) −2.11334 0.620534i −0.0983217 0.0288699i
\(463\) −18.8347 + 21.7364i −0.875324 + 1.01018i 0.124515 + 0.992218i \(0.460262\pi\)
−0.999839 + 0.0179596i \(0.994283\pi\)
\(464\) −13.0641 8.39581i −0.606487 0.389766i
\(465\) 1.62689 11.3153i 0.0754453 0.524734i
\(466\) −1.16304 + 0.747441i −0.0538769 + 0.0346246i
\(467\) −13.3404 29.2114i −0.617320 1.35174i −0.917453 0.397845i \(-0.869758\pi\)
0.300132 0.953898i \(-0.402969\pi\)
\(468\) 5.19558 + 5.99602i 0.240166 + 0.277166i
\(469\) 1.33311 + 9.27196i 0.0615572 + 0.428139i
\(470\) 6.18321 13.5394i 0.285210 0.624524i
\(471\) −8.13620 + 2.38900i −0.374896 + 0.110079i
\(472\) 3.54639 1.04131i 0.163236 0.0479303i
\(473\) 6.20969 13.5973i 0.285522 0.625206i
\(474\) 0.403134 + 2.80386i 0.0185165 + 0.128785i
\(475\) −7.25690 8.37491i −0.332969 0.384267i
\(476\) 5.17401 + 11.3295i 0.237151 + 0.519287i
\(477\) −4.68178 + 3.00880i −0.214364 + 0.137763i
\(478\) 0.964222 6.70631i 0.0441025 0.306739i
\(479\) 13.3744 + 8.59517i 0.611090 + 0.392724i 0.809266 0.587443i \(-0.199865\pi\)
−0.198176 + 0.980166i \(0.563502\pi\)
\(480\) −8.65767 + 9.99148i −0.395167 + 0.456047i
\(481\) 28.8489 + 8.47081i 1.31540 + 0.386236i
\(482\) 0.289275 0.0131761
\(483\) −1.65208 4.50229i −0.0751722 0.204861i
\(484\) −49.3553 −2.24342
\(485\) −17.8924 5.25369i −0.812453 0.238558i
\(486\) −0.235886 + 0.272227i −0.0107000 + 0.0123485i
\(487\) −10.7710 6.92210i −0.488081 0.313670i 0.273352 0.961914i \(-0.411868\pi\)
−0.761433 + 0.648244i \(0.775504\pi\)
\(488\) −1.08955 + 7.57798i −0.0493216 + 0.343039i
\(489\) −16.4471 + 10.5699i −0.743762 + 0.477987i
\(490\) −0.500239 1.09537i −0.0225985 0.0494838i
\(491\) 21.1410 + 24.3980i 0.954081 + 1.10107i 0.994795 + 0.101897i \(0.0324913\pi\)
−0.0407139 + 0.999171i \(0.512963\pi\)
\(492\) 2.12965 + 14.8120i 0.0960121 + 0.667779i
\(493\) −13.2666 + 29.0498i −0.597497 + 1.30834i
\(494\) 2.63073 0.772453i 0.118362 0.0347543i
\(495\) 19.6137 5.75911i 0.881572 0.258853i
\(496\) 4.60013 10.0729i 0.206552 0.452286i
\(497\) −1.84123 12.8060i −0.0825903 0.574428i
\(498\) 0.376106 + 0.434049i 0.0168537 + 0.0194502i
\(499\) −1.15065 2.51958i −0.0515104 0.112792i 0.882127 0.471012i \(-0.156111\pi\)
−0.933637 + 0.358220i \(0.883384\pi\)
\(500\) −6.18540 + 3.97511i −0.276619 + 0.177773i
\(501\) −0.531646 + 3.69768i −0.0237522 + 0.165200i
\(502\) 0.103142 + 0.0662851i 0.00460344 + 0.00295845i
\(503\) 12.0836 13.9452i 0.538781 0.621786i −0.419451 0.907778i \(-0.637778\pi\)
0.958232 + 0.285992i \(0.0923230\pi\)
\(504\) 1.33762 + 0.392761i 0.0595824 + 0.0174950i
\(505\) 40.9547 1.82246
\(506\) 6.28524 + 8.48972i 0.279413 + 0.377414i
\(507\) −4.99579 −0.221871
\(508\) 2.11128 + 0.619929i 0.0936731 + 0.0275049i
\(509\) 17.4357 20.1219i 0.772824 0.891886i −0.223746 0.974648i \(-0.571828\pi\)
0.996569 + 0.0827614i \(0.0263739\pi\)
\(510\) 6.74634 + 4.33561i 0.298733 + 0.191984i
\(511\) 2.40490 16.7265i 0.106387 0.739935i
\(512\) −18.3693 + 11.8052i −0.811816 + 0.521722i
\(513\) −0.745382 1.63216i −0.0329094 0.0720616i
\(514\) −2.75196 3.17593i −0.121384 0.140084i
\(515\) −3.01664 20.9812i −0.132929 0.924542i
\(516\) −1.89930 + 4.15889i −0.0836121 + 0.183085i
\(517\) −72.5194 + 21.2936i −3.18940 + 0.936492i
\(518\) 2.44961 0.719270i 0.107630 0.0316029i
\(519\) 4.59586 10.0635i 0.201736 0.441740i
\(520\) −2.81365 19.5694i −0.123387 0.858174i
\(521\) 24.0342 + 27.7369i 1.05296 + 1.21518i 0.975916 + 0.218148i \(0.0700017\pi\)
0.0770407 + 0.997028i \(0.475453\pi\)
\(522\) 0.717573 + 1.57127i 0.0314073 + 0.0687725i
\(523\) −17.2444 + 11.0823i −0.754046 + 0.484596i −0.860329 0.509740i \(-0.829742\pi\)
0.106282 + 0.994336i \(0.466105\pi\)
\(524\) 1.07295 7.46255i 0.0468722 0.326003i
\(525\) 5.19556 + 3.33898i 0.226753 + 0.145725i
\(526\) −0.235538 + 0.271825i −0.0102699 + 0.0118521i
\(527\) −21.8501 6.41577i −0.951805 0.279475i
\(528\) 19.8015 0.861750
\(529\) −6.71392 + 21.9983i −0.291910 + 0.956446i
\(530\) 6.70162 0.291100
\(531\) 2.54387 + 0.746947i 0.110394 + 0.0324147i
\(532\) −2.19758 + 2.53615i −0.0952773 + 0.109956i
\(533\) −28.5543 18.3507i −1.23682 0.794857i
\(534\) 0.329987 2.29511i 0.0142799 0.0993192i
\(535\) −46.6227 + 29.9626i −2.01568 + 1.29540i
\(536\) 5.42486 + 11.8788i 0.234318 + 0.513086i
\(537\) 11.5397 + 13.3176i 0.497977 + 0.574696i
\(538\) 0.889778 + 6.18854i 0.0383611 + 0.266807i
\(539\) −2.54014 + 5.56214i −0.109412 + 0.239578i
\(540\) −5.99908 + 1.76149i −0.258159 + 0.0758023i
\(541\) 24.2729 7.12717i 1.04357 0.306421i 0.285356 0.958422i \(-0.407888\pi\)
0.758219 + 0.652000i \(0.226070\pi\)
\(542\) −1.20532 + 2.63929i −0.0517730 + 0.113367i
\(543\) 2.31188 + 16.0795i 0.0992121 + 0.690035i
\(544\) 17.2466 + 19.9036i 0.739442 + 0.853362i
\(545\) −1.49430 3.27207i −0.0640089 0.140160i
\(546\) −1.28548 + 0.826127i −0.0550134 + 0.0353550i
\(547\) −2.96242 + 20.6041i −0.126664 + 0.880967i 0.823077 + 0.567930i \(0.192256\pi\)
−0.949741 + 0.313037i \(0.898653\pi\)
\(548\) −8.01426 5.15045i −0.342352 0.220016i
\(549\) −3.59628 + 4.15033i −0.153486 + 0.177132i
\(550\) −13.0520 3.83240i −0.556538 0.163414i
\(551\) −8.60455 −0.366566
\(552\) −3.97819 5.37349i −0.169323 0.228711i
\(553\) 7.86405 0.334413
\(554\) −0.683252 0.200621i −0.0290286 0.00852357i
\(555\) −15.5165 + 17.9070i −0.658639 + 0.760110i
\(556\) 31.6402 + 20.3339i 1.34184 + 0.862351i
\(557\) 1.94506 13.5282i 0.0824148 0.573208i −0.906213 0.422822i \(-0.861039\pi\)
0.988627 0.150385i \(-0.0480514\pi\)
\(558\) −1.03620 + 0.665928i −0.0438660 + 0.0281910i
\(559\) −4.30804 9.43329i −0.182211 0.398986i
\(560\) 7.08947 + 8.18169i 0.299585 + 0.345739i
\(561\) −5.79524 40.3068i −0.244675 1.70175i
\(562\) −1.29543 + 2.83660i −0.0546445 + 0.119655i
\(563\) −15.2017 + 4.46361i −0.640674 + 0.188119i −0.585904 0.810380i \(-0.699261\pi\)
−0.0547695 + 0.998499i \(0.517442\pi\)
\(564\) 22.1809 6.51289i 0.933982 0.274242i
\(565\) 12.2311 26.7825i 0.514568 1.12675i
\(566\) −0.507163 3.52740i −0.0213177 0.148268i
\(567\) 0.654861 + 0.755750i 0.0275016 + 0.0317385i
\(568\) −7.49257 16.4064i −0.314381 0.688399i
\(569\) 17.7116 11.3826i 0.742510 0.477182i −0.113891 0.993493i \(-0.536332\pi\)
0.856401 + 0.516311i \(0.172695\pi\)
\(570\) −0.307498 + 2.13870i −0.0128797 + 0.0895801i
\(571\) 19.7865 + 12.7160i 0.828038 + 0.532147i 0.884654 0.466249i \(-0.154395\pi\)
−0.0566162 + 0.998396i \(0.518031\pi\)
\(572\) −31.7695 + 36.6639i −1.32835 + 1.53300i
\(573\) −6.57713 1.93122i −0.274763 0.0806778i
\(574\) −2.88211 −0.120297
\(575\) −10.2032 27.8060i −0.425503 1.15959i
\(576\) −5.05218 −0.210507
\(577\) 7.69959 + 2.26080i 0.320538 + 0.0941184i 0.438043 0.898954i \(-0.355672\pi\)
−0.117506 + 0.993072i \(0.537490\pi\)
\(578\) 6.45142 7.44533i 0.268344 0.309685i
\(579\) 22.9613 + 14.7563i 0.954238 + 0.613252i
\(580\) −4.26701 + 29.6777i −0.177178 + 1.23230i
\(581\) 1.34133 0.862019i 0.0556477 0.0357626i
\(582\) 0.834679 + 1.82769i 0.0345986 + 0.0757603i
\(583\) −22.2848 25.7181i −0.922943 1.06513i
\(584\) −3.35266 23.3182i −0.138734 0.964915i
\(585\) 5.89129 12.9001i 0.243575 0.533355i
\(586\) 0.901893 0.264820i 0.0372569 0.0109396i
\(587\) 10.6071 3.11454i 0.437804 0.128551i −0.0554008 0.998464i \(-0.517644\pi\)
0.493204 + 0.869913i \(0.335825\pi\)
\(588\) 0.776930 1.70124i 0.0320401 0.0701579i
\(589\) −0.873198 6.07323i −0.0359795 0.250243i
\(590\) −2.09072 2.41283i −0.0860738 0.0993344i
\(591\) 7.96737 + 17.4461i 0.327734 + 0.717637i
\(592\) −19.3086 + 12.4089i −0.793580 + 0.510003i
\(593\) 5.48590 38.1553i 0.225279 1.56685i −0.492334 0.870406i \(-0.663856\pi\)
0.717613 0.696442i \(-0.245235\pi\)
\(594\) −1.85291 1.19080i −0.0760260 0.0488590i
\(595\) 14.5793 16.8254i 0.597694 0.689775i
\(596\) −12.1860 3.57812i −0.499157 0.146566i
\(597\) 1.93300 0.0791124
\(598\) 7.30673 + 0.561613i 0.298794 + 0.0229660i
\(599\) −13.4137 −0.548069 −0.274034 0.961720i \(-0.588358\pi\)
−0.274034 + 0.961720i \(0.588358\pi\)
\(600\) 8.26112 + 2.42569i 0.337259 + 0.0990282i
\(601\) −15.6847 + 18.1012i −0.639794 + 0.738362i −0.979338 0.202228i \(-0.935182\pi\)
0.339544 + 0.940590i \(0.389727\pi\)
\(602\) −0.740784 0.476073i −0.0301921 0.0194033i
\(603\) −1.33311 + 9.27196i −0.0542883 + 0.377584i
\(604\) 12.8631 8.26663i 0.523393 0.336364i
\(605\) 36.6487 + 80.2495i 1.48998 + 3.26261i
\(606\) −2.88976 3.33496i −0.117389 0.135474i
\(607\) −5.47511 38.0802i −0.222228 1.54563i −0.729584 0.683892i \(-0.760286\pi\)
0.507356 0.861737i \(-0.330623\pi\)
\(608\) −2.94773 + 6.45463i −0.119546 + 0.261770i
\(609\) 4.60122 1.35104i 0.186451 0.0547469i
\(610\) 6.34516 1.86311i 0.256908 0.0754349i
\(611\) −21.7823 + 47.6967i −0.881219 + 1.92960i
\(612\) 1.77254 + 12.3283i 0.0716506 + 0.498341i
\(613\) 21.3027 + 24.5846i 0.860408 + 0.992963i 0.999996 + 0.00275382i \(0.000876568\pi\)
−0.139589 + 0.990210i \(0.544578\pi\)
\(614\) −1.88041 4.11752i −0.0758871 0.166170i
\(615\) 22.5024 14.4614i 0.907383 0.583139i
\(616\) −1.21316 + 8.43771i −0.0488796 + 0.339965i
\(617\) 7.73957 + 4.97392i 0.311583 + 0.200243i 0.687081 0.726581i \(-0.258892\pi\)
−0.375497 + 0.926823i \(0.622528\pi\)
\(618\) −1.49566 + 1.72608i −0.0601642 + 0.0694332i
\(619\) 0.247347 + 0.0726277i 0.00994173 + 0.00291916i 0.286700 0.958021i \(-0.407442\pi\)
−0.276758 + 0.960940i \(0.589260\pi\)
\(620\) −21.3800 −0.858643
\(621\) −0.316717 4.78536i −0.0127094 0.192030i
\(622\) 1.89890 0.0761391
\(623\) −6.17641 1.81356i −0.247453 0.0726586i
\(624\) 8.99615 10.3821i 0.360134 0.415617i
\(625\) −14.9215 9.58946i −0.596859 0.383578i
\(626\) −0.695208 + 4.83528i −0.0277861 + 0.193256i
\(627\) 9.22995 5.93173i 0.368609 0.236890i
\(628\) 6.58812 + 14.4260i 0.262895 + 0.575659i
\(629\) 30.9098 + 35.6719i 1.23246 + 1.42233i
\(630\) −0.171374 1.19193i −0.00682771 0.0474878i
\(631\) 19.4991 42.6971i 0.776247 1.69974i 0.0638571 0.997959i \(-0.479660\pi\)
0.712390 0.701784i \(-0.247613\pi\)
\(632\) 10.5191 3.08869i 0.418428 0.122862i
\(633\) 5.04293 1.48074i 0.200438 0.0588540i
\(634\) −1.42241 + 3.11464i −0.0564910 + 0.123698i
\(635\) −0.559755 3.89318i −0.0222132 0.154496i
\(636\) 6.81606 + 7.86615i 0.270274 + 0.311913i
\(637\) 1.76225 + 3.85879i 0.0698229 + 0.152891i
\(638\) −8.88560 + 5.71043i −0.351784 + 0.226078i
\(639\) 1.84123 12.8060i 0.0728378 0.506598i
\(640\) 27.3618 + 17.5844i 1.08157 + 0.695083i
\(641\) 0.209233 0.241468i 0.00826422 0.00953742i −0.751602 0.659616i \(-0.770719\pi\)
0.759867 + 0.650079i \(0.225264\pi\)
\(642\) 5.72958 + 1.68236i 0.226128 + 0.0663973i
\(643\) −14.2875 −0.563444 −0.281722 0.959496i \(-0.590906\pi\)
−0.281722 + 0.959496i \(0.590906\pi\)
\(644\) −7.89498 + 4.25670i −0.311106 + 0.167738i
\(645\) 8.17249 0.321792
\(646\) 4.12987 + 1.21264i 0.162488 + 0.0477107i
\(647\) 7.10482 8.19940i 0.279319 0.322352i −0.598703 0.800971i \(-0.704317\pi\)
0.878023 + 0.478619i \(0.158863\pi\)
\(648\) 1.17279 + 0.753704i 0.0460714 + 0.0296083i
\(649\) −2.30716 + 16.0467i −0.0905641 + 0.629887i
\(650\) −7.93909 + 5.10214i −0.311397 + 0.200123i
\(651\) 1.42052 + 3.11051i 0.0556747 + 0.121911i
\(652\) 23.9447 + 27.6337i 0.937749 + 1.08222i
\(653\) 1.79226 + 12.4655i 0.0701366 + 0.487811i 0.994368 + 0.105979i \(0.0337976\pi\)
−0.924232 + 0.381832i \(0.875293\pi\)
\(654\) −0.161009 + 0.352560i −0.00629593 + 0.0137862i
\(655\) −12.9305 + 3.79674i −0.505236 + 0.148351i
\(656\) 24.8612 7.29991i 0.970668 0.285014i
\(657\) 7.01987 15.3714i 0.273871 0.599694i
\(658\) 0.633636 + 4.40703i 0.0247017 + 0.171804i
\(659\) −21.8676 25.2365i −0.851839 0.983075i 0.148144 0.988966i \(-0.452670\pi\)
−0.999983 + 0.00589123i \(0.998125\pi\)
\(660\) −15.8818 34.7764i −0.618199 1.35367i
\(661\) 22.9217 14.7309i 0.891551 0.572965i −0.0127226 0.999919i \(-0.504050\pi\)
0.904273 + 0.426954i \(0.140413\pi\)
\(662\) −0.199320 + 1.38630i −0.00774678 + 0.0538800i
\(663\) −23.7661 15.2735i −0.922999 0.593175i
\(664\) 1.45562 1.67988i 0.0564891 0.0651919i
\(665\) 5.75547 + 1.68996i 0.223188 + 0.0655338i
\(666\) 2.55302 0.0989277
\(667\) −21.5052 8.15142i −0.832686 0.315624i
\(668\) 6.98671 0.270324
\(669\) −15.5106 4.55432i −0.599674 0.176080i
\(670\) 7.38685 8.52488i 0.285379 0.329345i
\(671\) −28.2493 18.1547i −1.09055 0.700855i
\(672\) 0.562807 3.91441i 0.0217107 0.151002i
\(673\) −2.19003 + 1.40745i −0.0844194 + 0.0542530i −0.582170 0.813067i \(-0.697796\pi\)
0.497750 + 0.867320i \(0.334160\pi\)
\(674\) −3.66370 8.02239i −0.141121 0.309011i
\(675\) 4.04440 + 4.66749i 0.155669 + 0.179652i
\(676\) 1.32970 + 9.24828i 0.0511424 + 0.355703i
\(677\) 9.46200 20.7189i 0.363654 0.796292i −0.636042 0.771654i \(-0.719430\pi\)
0.999696 0.0246375i \(-0.00784316\pi\)
\(678\) −3.04394 + 0.893782i −0.116902 + 0.0343255i
\(679\) 5.35213 1.57153i 0.205396 0.0603096i
\(680\) 12.8932 28.2323i 0.494433 1.08266i
\(681\) −0.215905 1.50165i −0.00827351 0.0575435i
\(682\) −4.93223 5.69210i −0.188865 0.217962i
\(683\) 6.16798 + 13.5060i 0.236011 + 0.516792i 0.990165 0.139906i \(-0.0446800\pi\)
−0.754154 + 0.656698i \(0.771953\pi\)
\(684\) −2.82308 + 1.81428i −0.107943 + 0.0693709i
\(685\) −2.42342 + 16.8553i −0.0925943 + 0.644008i
\(686\) 0.303026 + 0.194743i 0.0115696 + 0.00743532i
\(687\) −4.67473 + 5.39492i −0.178352 + 0.205829i
\(688\) 7.59584 + 2.23034i 0.289589 + 0.0850309i
\(689\) −23.6086 −0.899416
\(690\) −2.79459 + 5.05391i −0.106388 + 0.192399i
\(691\) −4.01920 −0.152898 −0.0764488 0.997074i \(-0.524358\pi\)
−0.0764488 + 0.997074i \(0.524358\pi\)
\(692\) −19.8530 5.82937i −0.754698 0.221599i
\(693\) −4.00428 + 4.62119i −0.152110 + 0.175544i
\(694\) −1.87324 1.20386i −0.0711072 0.0456978i
\(695\) 9.56766 66.5445i 0.362922 2.52418i
\(696\) 5.62406 3.61437i 0.213180 0.137002i
\(697\) −22.1353 48.4696i −0.838436 1.83592i
\(698\) −2.25612 2.60370i −0.0853953 0.0985514i
\(699\) 0.546218 + 3.79903i 0.0206598 + 0.143692i
\(700\) 4.79830 10.5068i 0.181359 0.397120i
\(701\) 23.3805 6.86512i 0.883068 0.259292i 0.191404 0.981511i \(-0.438696\pi\)
0.691664 + 0.722219i \(0.256878\pi\)
\(702\) −1.46616 + 0.430502i −0.0553365 + 0.0162483i
\(703\) −5.28301 + 11.5682i −0.199252 + 0.436302i
\(704\) −4.39648 30.5782i −0.165698 1.15246i
\(705\) −27.0600 31.2289i −1.01914 1.17615i
\(706\) 4.28774 + 9.38884i 0.161371 + 0.353353i
\(707\) −10.3059 + 6.62322i −0.387595 + 0.249092i
\(708\) 0.705671 4.90805i 0.0265208 0.184456i
\(709\) 3.93703 + 2.53018i 0.147858 + 0.0950227i 0.612478 0.790487i \(-0.290173\pi\)
−0.464620 + 0.885510i \(0.653809\pi\)
\(710\) −10.2024 + 11.7742i −0.382888 + 0.441877i
\(711\) 7.54550 + 2.21556i 0.282978 + 0.0830899i
\(712\) −8.97400 −0.336315
\(713\) 3.57103 16.0059i 0.133736 0.599427i
\(714\) −2.39882 −0.0897737
\(715\) 83.2043 + 24.4310i 3.11166 + 0.913667i
\(716\) 21.5822 24.9072i 0.806565 0.930825i
\(717\) −15.8234 10.1691i −0.590937 0.379772i
\(718\) −0.115617 + 0.804135i −0.00431479 + 0.0300100i
\(719\) −20.6219 + 13.2529i −0.769066 + 0.494249i −0.865389 0.501101i \(-0.832928\pi\)
0.0963225 + 0.995350i \(0.469292\pi\)
\(720\) 4.49725 + 9.84761i 0.167603 + 0.366999i
\(721\) 4.15221 + 4.79191i 0.154636 + 0.178460i
\(722\) −0.808952 5.62638i −0.0301061 0.209392i
\(723\) 0.333610 0.730505i 0.0124071 0.0271678i
\(724\) 29.1512 8.55956i 1.08339 0.318113i
\(725\) 28.4170 8.34399i 1.05538 0.309888i
\(726\) 3.94883 8.64674i 0.146555 0.320911i
\(727\) −1.45412 10.1136i −0.0539304 0.375094i −0.998856 0.0478103i \(-0.984776\pi\)
0.944926 0.327284i \(-0.106133\pi\)
\(728\) 3.87281 + 4.46946i 0.143536 + 0.165649i
\(729\) 0.415415 + 0.909632i 0.0153857 + 0.0336901i
\(730\) −17.1186 + 11.0015i −0.633589 + 0.407183i
\(731\) 2.31690 16.1144i 0.0856937 0.596013i
\(732\) 8.64036 + 5.55282i 0.319357 + 0.205238i
\(733\) −7.45595 + 8.60463i −0.275392 + 0.317819i −0.876550 0.481311i \(-0.840161\pi\)
0.601158 + 0.799130i \(0.294706\pi\)
\(734\) −0.804098 0.236105i −0.0296798 0.00871478i
\(735\) −3.34305 −0.123310
\(736\) −13.4820 + 13.3395i −0.496951 + 0.491700i
\(737\) −57.2784 −2.10988
\(738\) −2.76537 0.811985i −0.101795 0.0298896i
\(739\) 16.3717 18.8940i 0.602243 0.695026i −0.369991 0.929035i \(-0.620639\pi\)
0.972234 + 0.234010i \(0.0751848\pi\)
\(740\) 37.2796 + 23.9582i 1.37043 + 0.880720i
\(741\) 1.08326 7.53423i 0.0397945 0.276777i
\(742\) −1.68641 + 1.08379i −0.0619102 + 0.0397873i
\(743\) −7.31813 16.0245i −0.268476 0.587881i 0.726592 0.687069i \(-0.241103\pi\)
−0.995069 + 0.0991877i \(0.968376\pi\)
\(744\) 3.12181 + 3.60276i 0.114451 + 0.132084i
\(745\) 3.23081 + 22.4708i 0.118368 + 0.823265i
\(746\) 0.309208 0.677071i 0.0113209 0.0247893i
\(747\) 1.52985 0.449206i 0.0559744 0.0164356i
\(748\) −73.0740 + 21.4565i −2.67185 + 0.784526i
\(749\) 6.88669 15.0797i 0.251634 0.551002i
\(750\) −0.201532 1.40169i −0.00735891 0.0511823i
\(751\) 18.3908 + 21.2241i 0.671088 + 0.774477i 0.984546 0.175125i \(-0.0560329\pi\)
−0.313458 + 0.949602i \(0.601487\pi\)
\(752\) −16.6280 36.4103i −0.606362 1.32775i
\(753\) 0.286340 0.184019i 0.0104348 0.00670604i
\(754\) −1.04285 + 7.25315i −0.0379782 + 0.264144i
\(755\) −22.9927 14.7765i −0.836789 0.537771i
\(756\) 1.22475 1.41344i 0.0445439 0.0514064i
\(757\) 33.5740 + 9.85821i 1.22027 + 0.358303i 0.827569 0.561364i \(-0.189723\pi\)
0.392699 + 0.919667i \(0.371542\pi\)
\(758\) 5.80601 0.210884
\(759\) 28.6877 6.08121i 1.04130 0.220734i
\(760\) 8.36240 0.303336
\(761\) 33.7395 + 9.90681i 1.22306 + 0.359122i 0.828625 0.559804i \(-0.189124\pi\)
0.394431 + 0.918926i \(0.370942\pi\)
\(762\) −0.277528 + 0.320284i −0.0100538 + 0.0116027i
\(763\) 0.905192 + 0.581732i 0.0327702 + 0.0210601i
\(764\) −1.82450 + 12.6897i −0.0660082 + 0.459097i
\(765\) 18.7290 12.0364i 0.677149 0.435177i
\(766\) −0.736356 1.61239i −0.0266056 0.0582582i
\(767\) 7.36524 + 8.49994i 0.265943 + 0.306915i
\(768\) 0.939256 + 6.53267i 0.0338925 + 0.235727i
\(769\) 3.37425 7.38858i 0.121679 0.266439i −0.838985 0.544155i \(-0.816850\pi\)
0.960663 + 0.277716i \(0.0895775\pi\)
\(770\) 7.06502 2.07448i 0.254605 0.0747589i
\(771\) −11.1939 + 3.28684i −0.403140 + 0.118372i
\(772\) 21.2056 46.4339i 0.763207 1.67119i
\(773\) 0.779930 + 5.42453i 0.0280521 + 0.195107i 0.999029 0.0440685i \(-0.0140320\pi\)
−0.970976 + 0.239175i \(0.923123\pi\)
\(774\) −0.576652 0.665492i −0.0207273 0.0239206i
\(775\) 8.77311 + 19.2104i 0.315139 + 0.690059i
\(776\) 6.54189 4.20422i 0.234840 0.150923i
\(777\) 1.00868 7.01551i 0.0361861 0.251680i
\(778\) −2.26022 1.45256i −0.0810329 0.0520767i
\(779\) 9.40165 10.8501i 0.336849 0.388744i
\(780\) −25.4489 7.47249i −0.911218 0.267558i
\(781\) 79.1103 2.83079
\(782\) 9.17296 + 6.94312i 0.328024 + 0.248286i
\(783\) 4.79547 0.171376
\(784\) −3.10716 0.912345i −0.110970 0.0325838i
\(785\) 18.5640 21.4240i 0.662577 0.764655i
\(786\) 1.22155 + 0.785041i 0.0435712 + 0.0280015i
\(787\) −2.73521 + 19.0238i −0.0974998 + 0.678126i 0.881187 + 0.472768i \(0.156745\pi\)
−0.978687 + 0.205358i \(0.934164\pi\)
\(788\) 30.1759 19.3928i 1.07497 0.690842i
\(789\) 0.414803 + 0.908291i 0.0147674 + 0.0323360i
\(790\) −6.20141 7.15681i −0.220636 0.254628i
\(791\) 1.25341 + 8.71764i 0.0445660 + 0.309964i
\(792\) −3.54120 + 7.75414i −0.125831 + 0.275531i
\(793\) −22.3528 + 6.56338i −0.793772 + 0.233072i
\(794\) −5.29536 + 1.55486i −0.187925 + 0.0551799i
\(795\) 7.72875 16.9236i 0.274111 0.600219i
\(796\) −0.514496 3.57840i −0.0182358 0.126833i
\(797\) 18.4950 + 21.3444i 0.655126 + 0.756056i 0.981973 0.189021i \(-0.0605316\pi\)
−0.326847 + 0.945077i \(0.605986\pi\)
\(798\) −0.268492 0.587916i −0.00950452 0.0208120i
\(799\) −69.2483 + 44.5032i −2.44983 + 1.57441i
\(800\) 3.47588 24.1753i 0.122891 0.854725i
\(801\) −5.41528 3.48019i −0.191340 0.122966i
\(802\) 1.62320 1.87327i 0.0573171 0.0661474i
\(803\) 99.1436 + 29.1112i 3.49870 + 1.02731i
\(804\) 17.5192 0.617855
\(805\) 12.7836 + 9.67608i 0.450563 + 0.341037i
\(806\) −5.22521 −0.184050
\(807\) 16.6541 + 4.89008i 0.586251 + 0.172139i
\(808\) −11.1841 + 12.9071i −0.393456 + 0.454072i
\(809\) 26.2140 + 16.8467i 0.921637 + 0.592300i 0.913132 0.407664i \(-0.133656\pi\)
0.00850466 + 0.999964i \(0.497293\pi\)
\(810\) 0.171374 1.19193i 0.00602148 0.0418803i
\(811\) 16.5773 10.6536i 0.582109 0.374098i −0.216198 0.976350i \(-0.569366\pi\)
0.798307 + 0.602251i \(0.205729\pi\)
\(812\) −3.72575 8.15825i −0.130748 0.286298i
\(813\) 5.27494 + 6.08760i 0.185000 + 0.213502i
\(814\) 2.22168 + 15.4521i 0.0778698 + 0.541596i
\(815\) 27.1510 59.4525i 0.951059 2.08253i
\(816\) 20.6923 6.07582i 0.724377 0.212696i
\(817\) 4.20872 1.23579i 0.147245 0.0432349i
\(818\) 3.20289 7.01334i 0.111986 0.245216i
\(819\) 0.603720 + 4.19897i 0.0210957 + 0.146724i
\(820\) −32.7605 37.8076i −1.14404 1.32030i
\(821\) 15.8697 + 34.7499i 0.553858 + 1.21278i 0.954957 + 0.296745i \(0.0959011\pi\)
−0.401099 + 0.916035i \(0.631372\pi\)
\(822\) 1.54353 0.991969i 0.0538369 0.0345989i
\(823\) −7.06268 + 49.1220i −0.246189 + 1.71229i 0.373661 + 0.927565i \(0.378102\pi\)
−0.619850 + 0.784720i \(0.712807\pi\)
\(824\) 7.43617 + 4.77894i 0.259051 + 0.166482i
\(825\) −24.7304 + 28.5404i −0.861000 + 0.993647i
\(826\) 0.916320 + 0.269056i 0.0318828 + 0.00936165i
\(827\) −26.1545 −0.909482 −0.454741 0.890624i \(-0.650268\pi\)
−0.454741 + 0.890624i \(0.650268\pi\)
\(828\) −8.77443 + 1.86000i −0.304933 + 0.0646396i
\(829\) 4.84273 0.168195 0.0840974 0.996458i \(-0.473199\pi\)
0.0840974 + 0.996458i \(0.473199\pi\)
\(830\) −1.84224 0.540929i −0.0639450 0.0187759i
\(831\) −1.29460 + 1.49405i −0.0449092 + 0.0518279i
\(832\) −18.0298 11.5871i −0.625071 0.401709i
\(833\) −0.947754 + 6.59178i −0.0328377 + 0.228392i
\(834\) −6.09386 + 3.91629i −0.211013 + 0.135610i
\(835\) −5.18797 11.3601i −0.179537 0.393132i
\(836\) −13.4376 15.5078i −0.464749 0.536348i
\(837\) 0.486649 + 3.38472i 0.0168211 + 0.116993i
\(838\) −4.26652 + 9.34238i −0.147385 + 0.322727i
\(839\) 25.7027 7.54700i 0.887357 0.260552i 0.193876 0.981026i \(-0.437894\pi\)
0.693481 + 0.720475i \(0.256076\pi\)
\(840\) −4.47174 + 1.31302i −0.154290 + 0.0453035i
\(841\) −2.49392 + 5.46092i −0.0859973 + 0.188308i
\(842\) −0.480821 3.34418i −0.0165702 0.115248i
\(843\) 5.66929 + 6.54271i 0.195261 + 0.225343i
\(844\) −4.08341 8.94142i −0.140557 0.307776i
\(845\) 14.0499 9.02934i 0.483332 0.310619i
\(846\) −0.633636 + 4.40703i −0.0217848 + 0.151517i
\(847\) −22.2004 14.2673i −0.762815 0.490231i
\(848\) 11.8020 13.6202i 0.405282 0.467721i
\(849\) −9.49263 2.78729i −0.325786 0.0956595i
\(850\) −14.8151 −0.508153
\(851\) −24.1627 + 23.9074i −0.828287 + 0.819535i
\(852\) −24.1967 −0.828966
\(853\) 29.4644 + 8.65153i 1.00884 + 0.296223i 0.744080 0.668091i \(-0.232888\pi\)
0.264763 + 0.964314i \(0.414706\pi\)
\(854\) −1.29541 + 1.49498i −0.0443280 + 0.0511572i
\(855\) 5.04622 + 3.24301i 0.172577 + 0.110909i
\(856\) 3.28905 22.8758i 0.112417 0.781880i
\(857\) 25.7207 16.5297i 0.878604 0.564644i −0.0217695 0.999763i \(-0.506930\pi\)
0.900373 + 0.435119i \(0.143294\pi\)
\(858\) −3.88147 8.49923i −0.132511 0.290159i
\(859\) 29.9218 + 34.5316i 1.02092 + 1.17820i 0.983869 + 0.178888i \(0.0572500\pi\)
0.0370481 + 0.999313i \(0.488205\pi\)
\(860\) −2.17523 15.1290i −0.0741746 0.515896i
\(861\) −3.32384 + 7.27820i −0.113276 + 0.248040i
\(862\) −0.423831 + 0.124448i −0.0144357 + 0.00423871i
\(863\) −42.2023 + 12.3917i −1.43658 + 0.421819i −0.905082 0.425237i \(-0.860191\pi\)
−0.531503 + 0.847057i \(0.678372\pi\)
\(864\) 1.64283 3.59729i 0.0558900 0.122382i
\(865\) 5.26354 + 36.6087i 0.178966 + 1.24473i
\(866\) −9.47177 10.9310i −0.321864 0.371451i
\(867\) −11.3615 24.8782i −0.385857 0.844908i
\(868\) 5.38013 3.45760i 0.182613 0.117359i
\(869\) −6.84340 + 47.5969i −0.232147 + 1.61461i
\(870\) −4.85796 3.12202i −0.164700 0.105846i
\(871\) −26.0225 + 30.0316i −0.881739 + 1.01758i
\(872\) 1.43929 + 0.422613i 0.0487404 + 0.0143115i
\(873\) 5.57808 0.188789
\(874\) −0.674958 + 3.02528i −0.0228308 + 0.102331i
\(875\) −3.93134 −0.132904
\(876\) −30.3241 8.90397i −1.02456 0.300837i
\(877\) 21.8083 25.1681i 0.736415 0.849868i −0.256764 0.966474i \(-0.582656\pi\)
0.993178 + 0.116606i \(0.0372016\pi\)
\(878\) −0.804482 0.517009i −0.0271499 0.0174482i
\(879\) 0.371373 2.58296i 0.0125261 0.0871210i
\(880\) −55.6888 + 35.7890i −1.87727 + 1.20645i
\(881\) −10.2979 22.5492i −0.346944 0.759701i −0.999997 0.00238898i \(-0.999240\pi\)
0.653053 0.757312i \(-0.273488\pi\)
\(882\) 0.235886 + 0.272227i 0.00794269 + 0.00916635i
\(883\) 8.24643 + 57.3552i 0.277514 + 1.93016i 0.358693 + 0.933455i \(0.383222\pi\)
−0.0811789 + 0.996700i \(0.525869\pi\)
\(884\) −21.9489 + 48.0614i −0.738222 + 1.61648i
\(885\) −8.50427 + 2.49708i −0.285868 + 0.0839384i
\(886\) −3.34682 + 0.982714i −0.112438 + 0.0330149i
\(887\) −21.4712 + 47.0154i −0.720932 + 1.57862i 0.0916612 + 0.995790i \(0.470782\pi\)
−0.812593 + 0.582831i \(0.801945\pi\)
\(888\) −1.40619 9.78027i −0.0471887 0.328204i
\(889\) 0.770467 + 0.889166i 0.0258406 + 0.0298217i
\(890\) 3.22012 + 7.05108i 0.107939 + 0.236353i
\(891\) −5.14402 + 3.30586i −0.172331 + 0.110751i
\(892\) −4.30266 + 29.9256i −0.144064 + 1.00198i
\(893\) −18.6578 11.9906i −0.624359 0.401251i
\(894\) 1.60184 1.84863i 0.0535737 0.0618273i
\(895\) −56.5238 16.5969i −1.88938 0.554773i
\(896\) −9.72915 −0.325028
\(897\) 9.84484 17.8040i 0.328710 0.594458i
\(898\) 9.57972 0.319679
\(899\) 15.7340 + 4.61992i 0.524758 + 0.154083i
\(900\) 7.56405 8.72938i 0.252135 0.290979i
\(901\) −31.1786 20.0373i −1.03871 0.667539i
\(902\) 2.50806 17.4439i 0.0835091 0.580819i
\(903\) −2.05655 + 1.32166i −0.0684376 + 0.0439822i
\(904\) 5.10054 + 11.1686i 0.169641 + 0.371463i
\(905\) −35.5636 41.0426i −1.18218 1.36430i
\(906\) 0.419105 + 2.91494i 0.0139238 + 0.0968423i
\(907\) −13.3644 + 29.2640i −0.443759 + 0.971696i 0.547134 + 0.837045i \(0.315719\pi\)
−0.990893 + 0.134651i \(0.957009\pi\)
\(908\) −2.72242 + 0.799374i −0.0903466 + 0.0265282i
\(909\) −11.7545 + 3.45142i −0.389871 + 0.114476i
\(910\) 2.12209 4.64672i 0.0703465 0.154037i
\(911\) 0.339864 + 2.36381i 0.0112602 + 0.0783164i 0.994677 0.103045i \(-0.0328586\pi\)
−0.983416 + 0.181362i \(0.941950\pi\)
\(912\) 3.80512 + 4.39134i 0.126000 + 0.145412i
\(913\) 4.05010 + 8.86849i 0.134039 + 0.293504i
\(914\) 0.118576 0.0762044i 0.00392216 0.00252062i
\(915\) 2.61275 18.1721i 0.0863749 0.600750i
\(916\) 11.2314 + 7.21798i 0.371096 + 0.238489i
\(917\) 2.63985 3.04655i 0.0871756 0.100606i
\(918\) −2.30165 0.675827i −0.0759659 0.0223056i
\(919\) 2.28764 0.0754623 0.0377312 0.999288i \(-0.487987\pi\)
0.0377312 + 0.999288i \(0.487987\pi\)
\(920\) 20.9001 + 7.92203i 0.689054 + 0.261181i
\(921\) −12.5666 −0.414083
\(922\) −0.696561 0.204529i −0.0229400 0.00673579i
\(923\) 35.9411 41.4782i 1.18302 1.36527i
\(924\) 9.62061 + 6.18279i 0.316495 + 0.203399i
\(925\) 6.22957 43.3276i 0.204827 1.42460i
\(926\) −8.71545 + 5.60108i −0.286407 + 0.184063i
\(927\) 2.63398 + 5.76761i 0.0865113 + 0.189433i
\(928\) −12.4191 14.3324i −0.407676 0.470484i
\(929\) 4.03701 + 28.0780i 0.132450 + 0.921211i 0.942347 + 0.334638i \(0.108614\pi\)
−0.809897 + 0.586573i \(0.800477\pi\)
\(930\) 1.71058 3.74565i 0.0560921 0.122825i
\(931\) −1.72162 + 0.505515i −0.0564240 + 0.0165676i
\(932\) 6.88743 2.02233i 0.225605 0.0662437i
\(933\) 2.18994 4.79530i 0.0716954 0.156991i
\(934\) −1.64623 11.4498i −0.0538662 0.374648i
\(935\) 89.1483 + 102.883i 2.91546 + 3.36462i
\(936\) 2.45674 + 5.37951i 0.0803011 + 0.175835i
\(937\) 10.1931 6.55070i 0.332994 0.214002i −0.363450 0.931614i \(-0.618401\pi\)
0.696443 + 0.717612i \(0.254765\pi\)
\(938\) −0.480195 + 3.33983i −0.0156789 + 0.109049i
\(939\) 11.4088 + 7.33197i 0.372311 + 0.239270i
\(940\) −50.6090 + 58.4060i −1.65069 + 1.90499i
\(941\) −57.6506 16.9278i −1.87936 0.551829i −0.996638 0.0819272i \(-0.973893\pi\)
−0.882719 0.469902i \(-0.844289\pi\)
\(942\) −3.05444 −0.0995192
\(943\) 33.7761 18.2109i 1.09990 0.593029i
\(944\) −8.58568 −0.279440
\(945\) −3.20763 0.941846i −0.104344 0.0306382i
\(946\) 3.52606 4.06929i 0.114642 0.132304i
\(947\) −19.2693 12.3837i −0.626169 0.402415i 0.188720 0.982031i \(-0.439566\pi\)
−0.814890 + 0.579616i \(0.803202\pi\)
\(948\) 2.09313 14.5580i 0.0679817 0.472823i
\(949\) 60.3058 38.7562i 1.95761 1.25808i
\(950\) −1.65820 3.63095i −0.0537991 0.117804i
\(951\) 6.22498 + 7.18401i 0.201859 + 0.232958i
\(952\) 1.32126 + 9.18955i 0.0428222 + 0.297835i
\(953\) −7.77279 + 17.0200i −0.251785 + 0.551333i −0.992748 0.120213i \(-0.961642\pi\)
0.740963 + 0.671546i \(0.234370\pi\)
\(954\) −1.92344 + 0.564773i −0.0622737 + 0.0182852i
\(955\) 21.9877 6.45616i 0.711504 0.208916i
\(956\) −14.6136 + 31.9992i −0.472636 + 1.03493i
\(957\) 4.17309 + 29.0245i 0.134897 + 0.938227i
\(958\) 3.75014 + 4.32789i 0.121162 + 0.139828i
\(959\) −2.11602 4.63343i −0.0683297 0.149621i
\(960\) 14.2085 9.13125i 0.458577 0.294710i
\(961\) 2.74765 19.1103i 0.0886339 0.616462i
\(962\) 9.11103 + 5.85530i 0.293751 + 0.188783i
\(963\) 10.8562 12.5287i 0.349836 0.403732i
\(964\) −1.44112 0.423150i −0.0464152 0.0136287i
\(965\) −91.2456 −2.93730
\(966\) −0.114084 1.72372i −0.00367059 0.0554599i
\(967\) −40.8249 −1.31284 −0.656421 0.754395i \(-0.727930\pi\)
−0.656421 + 0.754395i \(0.727930\pi\)
\(968\) −35.2994 10.3648i −1.13457 0.333139i
\(969\) 7.82512 9.03067i 0.251379 0.290107i
\(970\) −5.65076 3.63152i −0.181435 0.116601i
\(971\) 1.45859 10.1447i 0.0468084 0.325559i −0.952941 0.303157i \(-0.901959\pi\)
0.999749 0.0224025i \(-0.00713154\pi\)
\(972\) 1.57335 1.01113i 0.0504654 0.0324321i
\(973\) 8.35401 + 18.2927i 0.267817 + 0.586438i
\(974\) −3.02017 3.48546i −0.0967724 0.111681i
\(975\) 3.72856 + 25.9327i 0.119410 + 0.830511i
\(976\) 7.38770 16.1768i 0.236475 0.517807i
\(977\) −46.7034 + 13.7134i −1.49417 + 0.438729i −0.923871 0.382704i \(-0.874993\pi\)
−0.570304 + 0.821434i \(0.693175\pi\)
\(978\) −6.75703 + 1.98404i −0.216066 + 0.0634427i
\(979\) 16.3513 35.8043i 0.522590 1.14431i
\(980\) 0.889801 + 6.18870i 0.0284236 + 0.197691i
\(981\) 0.704633 + 0.813190i 0.0224972 + 0.0259632i
\(982\) 4.83072 + 10.5778i 0.154155 + 0.337551i
\(983\) 44.9488 28.8868i 1.43364 0.921347i 0.433851 0.900985i \(-0.357155\pi\)
0.999793 0.0203618i \(-0.00648182\pi\)
\(984\) −1.58745 + 11.0410i −0.0506061 + 0.351973i
\(985\) −53.9390 34.6645i −1.71864 1.10450i
\(986\) −7.53319 + 8.69376i −0.239906 + 0.276866i
\(987\) 11.8598 + 3.48236i 0.377503 + 0.110845i
\(988\) −14.2358 −0.452901
\(989\) 11.6895 + 0.898484i 0.371705 + 0.0285701i
\(990\) 7.36328 0.234020
\(991\) 11.1016 + 3.25973i 0.352655 + 0.103549i 0.453262 0.891378i \(-0.350260\pi\)
−0.100607 + 0.994926i \(0.532079\pi\)
\(992\) 8.85572 10.2200i 0.281169 0.324487i
\(993\) 3.27095 + 2.10211i 0.103800 + 0.0667085i
\(994\) 0.663223 4.61282i 0.0210362 0.146310i
\(995\) −5.43628 + 3.49368i −0.172342 + 0.110757i
\(996\) −1.23877 2.71252i −0.0392519 0.0859496i
\(997\) 1.99958 + 2.30764i 0.0633274 + 0.0730837i 0.786529 0.617553i \(-0.211876\pi\)
−0.723202 + 0.690637i \(0.757330\pi\)
\(998\) −0.141993 0.987580i −0.00449470 0.0312613i
\(999\) 2.94432 6.44715i 0.0931540 0.203979i
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 483.2.q.e.64.3 60
23.9 even 11 inner 483.2.q.e.400.3 yes 60
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
483.2.q.e.64.3 60 1.1 even 1 trivial
483.2.q.e.400.3 yes 60 23.9 even 11 inner