Properties

Label 966.2.q.j.127.2
Level $966$
Weight $2$
Character 966.127
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 127.2
Character \(\chi\) \(=\) 966.127
Dual form 966.2.q.j.715.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.841254 - 0.540641i) q^{2} +(0.142315 - 0.989821i) q^{3} +(0.415415 - 0.909632i) q^{4} +(-0.571809 + 0.167898i) q^{5} +(-0.415415 - 0.909632i) q^{6} +(0.654861 + 0.755750i) q^{7} +(-0.142315 - 0.989821i) q^{8} +(-0.959493 - 0.281733i) q^{9} +O(q^{10})\) \(q+(0.841254 - 0.540641i) q^{2} +(0.142315 - 0.989821i) q^{3} +(0.415415 - 0.909632i) q^{4} +(-0.571809 + 0.167898i) q^{5} +(-0.415415 - 0.909632i) q^{6} +(0.654861 + 0.755750i) q^{7} +(-0.142315 - 0.989821i) q^{8} +(-0.959493 - 0.281733i) q^{9} +(-0.390264 + 0.450389i) q^{10} +(4.17617 + 2.68386i) q^{11} +(-0.841254 - 0.540641i) q^{12} +(3.61121 - 4.16756i) q^{13} +(0.959493 + 0.281733i) q^{14} +(0.0848125 + 0.589884i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(2.08713 + 4.57018i) q^{17} +(-0.959493 + 0.281733i) q^{18} +(1.40377 - 3.07384i) q^{19} +(-0.0848125 + 0.589884i) q^{20} +(0.841254 - 0.540641i) q^{21} +4.96422 q^{22} +(1.27448 - 4.62339i) q^{23} -1.00000 q^{24} +(-3.90749 + 2.51119i) q^{25} +(0.784791 - 5.45834i) q^{26} +(-0.415415 + 0.909632i) q^{27} +(0.959493 - 0.281733i) q^{28} +(-2.62746 - 5.75333i) q^{29} +(0.390264 + 0.450389i) q^{30} +(-1.02851 - 7.15347i) q^{31} +(-0.959493 - 0.281733i) q^{32} +(3.25088 - 3.75171i) q^{33} +(4.22663 + 2.71629i) q^{34} +(-0.501345 - 0.322195i) q^{35} +(-0.654861 + 0.755750i) q^{36} +(-7.67790 - 2.25444i) q^{37} +(-0.480912 - 3.34481i) q^{38} +(-3.61121 - 4.16756i) q^{39} +(0.247566 + 0.542095i) q^{40} +(7.38458 - 2.16831i) q^{41} +(0.415415 - 0.909632i) q^{42} +(-1.41410 + 9.83527i) q^{43} +(4.17617 - 2.68386i) q^{44} +0.595950 q^{45} +(-1.42743 - 4.57848i) q^{46} +2.37081 q^{47} +(-0.841254 + 0.540641i) q^{48} +(-0.142315 + 0.989821i) q^{49} +(-1.92954 + 4.22510i) q^{50} +(4.82069 - 1.41548i) q^{51} +(-2.29079 - 5.01614i) q^{52} +(0.850524 + 0.981557i) q^{53} +(0.142315 + 0.989821i) q^{54} +(-2.83859 - 0.833485i) q^{55} +(0.654861 - 0.755750i) q^{56} +(-2.84277 - 1.82694i) q^{57} +(-5.32085 - 3.41950i) q^{58} +(0.525331 - 0.606265i) q^{59} +(0.571809 + 0.167898i) q^{60} +(1.45105 + 10.0923i) q^{61} +(-4.73270 - 5.46182i) q^{62} +(-0.415415 - 0.909632i) q^{63} +(-0.959493 + 0.281733i) q^{64} +(-1.36520 + 2.98937i) q^{65} +(0.706483 - 4.91370i) q^{66} +(-4.11633 + 2.64541i) q^{67} +5.02421 q^{68} +(-4.39495 - 1.91949i) q^{69} -0.595950 q^{70} +(7.36176 - 4.73111i) q^{71} +(-0.142315 + 0.989821i) q^{72} +(0.943910 - 2.06687i) q^{73} +(-7.67790 + 2.25444i) q^{74} +(1.92954 + 4.22510i) q^{75} +(-2.21291 - 2.55384i) q^{76} +(0.706483 + 4.91370i) q^{77} +(-5.29110 - 1.55361i) q^{78} +(-6.49440 + 7.49494i) q^{79} +(0.501345 + 0.322195i) q^{80} +(0.841254 + 0.540641i) q^{81} +(5.04003 - 5.81650i) q^{82} +(-4.53093 - 1.33040i) q^{83} +(-0.142315 - 0.989821i) q^{84} +(-1.96077 - 2.26285i) q^{85} +(4.12773 + 9.03847i) q^{86} +(-6.06870 + 1.78193i) q^{87} +(2.06221 - 4.51562i) q^{88} +(-2.41217 + 16.7770i) q^{89} +(0.501345 - 0.322195i) q^{90} +5.51447 q^{91} +(-3.67614 - 3.07993i) q^{92} -7.22703 q^{93} +(1.99445 - 1.28175i) q^{94} +(-0.286599 + 1.99334i) q^{95} +(-0.415415 + 0.909632i) q^{96} +(13.5830 - 3.98831i) q^{97} +(0.415415 + 0.909632i) q^{98} +(-3.25088 - 3.75171i) 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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(829\) \(925\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{10}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.841254 0.540641i 0.594856 0.382291i
\(3\) 0.142315 0.989821i 0.0821655 0.571474i
\(4\) 0.415415 0.909632i 0.207708 0.454816i
\(5\) −0.571809 + 0.167898i −0.255721 + 0.0750865i −0.407080 0.913392i \(-0.633453\pi\)
0.151359 + 0.988479i \(0.451635\pi\)
\(6\) −0.415415 0.909632i −0.169592 0.371356i
\(7\) 0.654861 + 0.755750i 0.247514 + 0.285646i
\(8\) −0.142315 0.989821i −0.0503159 0.349955i
\(9\) −0.959493 0.281733i −0.319831 0.0939109i
\(10\) −0.390264 + 0.450389i −0.123412 + 0.142425i
\(11\) 4.17617 + 2.68386i 1.25916 + 0.809215i 0.988169 0.153366i \(-0.0490114\pi\)
0.270994 + 0.962581i \(0.412648\pi\)
\(12\) −0.841254 0.540641i −0.242849 0.156070i
\(13\) 3.61121 4.16756i 1.00157 1.15587i 0.0138077 0.999905i \(-0.495605\pi\)
0.987762 0.155968i \(-0.0498498\pi\)
\(14\) 0.959493 + 0.281733i 0.256435 + 0.0752962i
\(15\) 0.0848125 + 0.589884i 0.0218985 + 0.152307i
\(16\) −0.654861 0.755750i −0.163715 0.188937i
\(17\) 2.08713 + 4.57018i 0.506204 + 1.10843i 0.974403 + 0.224809i \(0.0721757\pi\)
−0.468199 + 0.883623i \(0.655097\pi\)
\(18\) −0.959493 + 0.281733i −0.226155 + 0.0664050i
\(19\) 1.40377 3.07384i 0.322048 0.705186i −0.677492 0.735530i \(-0.736933\pi\)
0.999540 + 0.0303440i \(0.00966027\pi\)
\(20\) −0.0848125 + 0.589884i −0.0189646 + 0.131902i
\(21\) 0.841254 0.540641i 0.183577 0.117977i
\(22\) 4.96422 1.05838
\(23\) 1.27448 4.62339i 0.265748 0.964043i
\(24\) −1.00000 −0.204124
\(25\) −3.90749 + 2.51119i −0.781498 + 0.502238i
\(26\) 0.784791 5.45834i 0.153910 1.07047i
\(27\) −0.415415 + 0.909632i −0.0799467 + 0.175059i
\(28\) 0.959493 0.281733i 0.181327 0.0532424i
\(29\) −2.62746 5.75333i −0.487907 1.06837i −0.980213 0.197945i \(-0.936573\pi\)
0.492306 0.870422i \(-0.336154\pi\)
\(30\) 0.390264 + 0.450389i 0.0712521 + 0.0822293i
\(31\) −1.02851 7.15347i −0.184726 1.28480i −0.845403 0.534129i \(-0.820639\pi\)
0.660676 0.750671i \(-0.270270\pi\)
\(32\) −0.959493 0.281733i −0.169616 0.0498038i
\(33\) 3.25088 3.75171i 0.565905 0.653089i
\(34\) 4.22663 + 2.71629i 0.724862 + 0.465840i
\(35\) −0.501345 0.322195i −0.0847427 0.0544608i
\(36\) −0.654861 + 0.755750i −0.109143 + 0.125958i
\(37\) −7.67790 2.25444i −1.26224 0.370627i −0.418912 0.908027i \(-0.637588\pi\)
−0.843328 + 0.537400i \(0.819407\pi\)
\(38\) −0.480912 3.34481i −0.0780142 0.542600i
\(39\) −3.61121 4.16756i −0.578257 0.667344i
\(40\) 0.247566 + 0.542095i 0.0391437 + 0.0857127i
\(41\) 7.38458 2.16831i 1.15328 0.338633i 0.351460 0.936203i \(-0.385685\pi\)
0.801817 + 0.597570i \(0.203867\pi\)
\(42\) 0.415415 0.909632i 0.0640999 0.140359i
\(43\) −1.41410 + 9.83527i −0.215648 + 1.49986i 0.538201 + 0.842816i \(0.319104\pi\)
−0.753849 + 0.657048i \(0.771805\pi\)
\(44\) 4.17617 2.68386i 0.629581 0.404607i
\(45\) 0.595950 0.0888389
\(46\) −1.42743 4.57848i −0.210463 0.675060i
\(47\) 2.37081 0.345818 0.172909 0.984938i \(-0.444683\pi\)
0.172909 + 0.984938i \(0.444683\pi\)
\(48\) −0.841254 + 0.540641i −0.121424 + 0.0780348i
\(49\) −0.142315 + 0.989821i −0.0203307 + 0.141403i
\(50\) −1.92954 + 4.22510i −0.272878 + 0.597519i
\(51\) 4.82069 1.41548i 0.675032 0.198207i
\(52\) −2.29079 5.01614i −0.317676 0.695613i
\(53\) 0.850524 + 0.981557i 0.116828 + 0.134827i 0.811151 0.584837i \(-0.198841\pi\)
−0.694323 + 0.719664i \(0.744296\pi\)
\(54\) 0.142315 + 0.989821i 0.0193666 + 0.134698i
\(55\) −2.83859 0.833485i −0.382755 0.112387i
\(56\) 0.654861 0.755750i 0.0875094 0.100991i
\(57\) −2.84277 1.82694i −0.376534 0.241984i
\(58\) −5.32085 3.41950i −0.698661 0.449002i
\(59\) 0.525331 0.606265i 0.0683923 0.0789289i −0.720522 0.693432i \(-0.756098\pi\)
0.788915 + 0.614503i \(0.210643\pi\)
\(60\) 0.571809 + 0.167898i 0.0738203 + 0.0216756i
\(61\) 1.45105 + 10.0923i 0.185788 + 1.29218i 0.842768 + 0.538276i \(0.180924\pi\)
−0.656981 + 0.753908i \(0.728167\pi\)
\(62\) −4.73270 5.46182i −0.601053 0.693652i
\(63\) −0.415415 0.909632i −0.0523374 0.114603i
\(64\) −0.959493 + 0.281733i −0.119937 + 0.0352166i
\(65\) −1.36520 + 2.98937i −0.169332 + 0.370785i
\(66\) 0.706483 4.91370i 0.0869620 0.604834i
\(67\) −4.11633 + 2.64541i −0.502890 + 0.323188i −0.767371 0.641203i \(-0.778436\pi\)
0.264481 + 0.964391i \(0.414799\pi\)
\(68\) 5.02421 0.609275
\(69\) −4.39495 1.91949i −0.529090 0.231079i
\(70\) −0.595950 −0.0712296
\(71\) 7.36176 4.73111i 0.873680 0.561480i −0.0251965 0.999683i \(-0.508021\pi\)
0.898876 + 0.438203i \(0.144385\pi\)
\(72\) −0.142315 + 0.989821i −0.0167720 + 0.116652i
\(73\) 0.943910 2.06687i 0.110476 0.241909i −0.846316 0.532681i \(-0.821185\pi\)
0.956793 + 0.290771i \(0.0939119\pi\)
\(74\) −7.67790 + 2.25444i −0.892538 + 0.262073i
\(75\) 1.92954 + 4.22510i 0.222804 + 0.487872i
\(76\) −2.21291 2.55384i −0.253838 0.292945i
\(77\) 0.706483 + 4.91370i 0.0805112 + 0.559968i
\(78\) −5.29110 1.55361i −0.599099 0.175911i
\(79\) −6.49440 + 7.49494i −0.730677 + 0.843246i −0.992548 0.121857i \(-0.961115\pi\)
0.261870 + 0.965103i \(0.415661\pi\)
\(80\) 0.501345 + 0.322195i 0.0560520 + 0.0360225i
\(81\) 0.841254 + 0.540641i 0.0934726 + 0.0600712i
\(82\) 5.04003 5.81650i 0.556578 0.642325i
\(83\) −4.53093 1.33040i −0.497334 0.146030i 0.0234398 0.999725i \(-0.492538\pi\)
−0.520773 + 0.853695i \(0.674356\pi\)
\(84\) −0.142315 0.989821i −0.0155278 0.107998i
\(85\) −1.96077 2.26285i −0.212675 0.245440i
\(86\) 4.12773 + 9.03847i 0.445105 + 0.974643i
\(87\) −6.06870 + 1.78193i −0.650633 + 0.191043i
\(88\) 2.06221 4.51562i 0.219833 0.481366i
\(89\) −2.41217 + 16.7770i −0.255690 + 1.77836i 0.307014 + 0.951705i \(0.400670\pi\)
−0.562704 + 0.826658i \(0.690239\pi\)
\(90\) 0.501345 0.322195i 0.0528464 0.0339623i
\(91\) 5.51447 0.578074
\(92\) −3.67614 3.07993i −0.383264 0.321105i
\(93\) −7.22703 −0.749408
\(94\) 1.99445 1.28175i 0.205712 0.132203i
\(95\) −0.286599 + 1.99334i −0.0294044 + 0.204512i
\(96\) −0.415415 + 0.909632i −0.0423981 + 0.0928389i
\(97\) 13.5830 3.98831i 1.37914 0.404952i 0.493670 0.869649i \(-0.335655\pi\)
0.885470 + 0.464697i \(0.153837\pi\)
\(98\) 0.415415 + 0.909632i 0.0419633 + 0.0918867i
\(99\) −3.25088 3.75171i −0.326725 0.377061i
\(100\) 0.661030 + 4.59757i 0.0661030 + 0.459757i
\(101\) 6.44240 + 1.89166i 0.641043 + 0.188227i 0.586070 0.810261i \(-0.300674\pi\)
0.0549732 + 0.998488i \(0.482493\pi\)
\(102\) 3.29016 3.79704i 0.325774 0.375963i
\(103\) −0.659831 0.424048i −0.0650151 0.0417826i 0.507729 0.861517i \(-0.330485\pi\)
−0.572745 + 0.819734i \(0.694121\pi\)
\(104\) −4.63907 2.98135i −0.454898 0.292345i
\(105\) −0.390264 + 0.450389i −0.0380859 + 0.0439534i
\(106\) 1.24618 + 0.365910i 0.121039 + 0.0355404i
\(107\) 0.292755 + 2.03616i 0.0283017 + 0.196843i 0.999067 0.0431882i \(-0.0137515\pi\)
−0.970765 + 0.240031i \(0.922842\pi\)
\(108\) 0.654861 + 0.755750i 0.0630140 + 0.0727220i
\(109\) −3.97873 8.71219i −0.381093 0.834477i −0.998842 0.0481020i \(-0.984683\pi\)
0.617750 0.786375i \(-0.288045\pi\)
\(110\) −2.83859 + 0.833485i −0.270649 + 0.0794697i
\(111\) −3.32417 + 7.27891i −0.315516 + 0.690884i
\(112\) 0.142315 0.989821i 0.0134475 0.0935293i
\(113\) 11.0577 7.10636i 1.04022 0.668510i 0.0951800 0.995460i \(-0.469657\pi\)
0.945042 + 0.326950i \(0.106021\pi\)
\(114\) −3.37921 −0.316492
\(115\) 0.0474988 + 2.85768i 0.00442928 + 0.266480i
\(116\) −6.32490 −0.587252
\(117\) −4.63907 + 2.98135i −0.428882 + 0.275626i
\(118\) 0.114165 0.794038i 0.0105098 0.0730971i
\(119\) −2.08713 + 4.57018i −0.191327 + 0.418948i
\(120\) 0.571809 0.167898i 0.0521988 0.0153270i
\(121\) 5.66772 + 12.4106i 0.515248 + 1.12823i
\(122\) 6.67700 + 7.70567i 0.604507 + 0.697638i
\(123\) −1.09530 7.61800i −0.0987601 0.686891i
\(124\) −6.93428 2.03609i −0.622717 0.182846i
\(125\) 3.76404 4.34393i 0.336666 0.388533i
\(126\) −0.841254 0.540641i −0.0749448 0.0481641i
\(127\) 9.13333 + 5.86963i 0.810452 + 0.520846i 0.879011 0.476801i \(-0.158204\pi\)
−0.0685592 + 0.997647i \(0.521840\pi\)
\(128\) −0.654861 + 0.755750i −0.0578821 + 0.0667995i
\(129\) 9.53391 + 2.79941i 0.839414 + 0.246474i
\(130\) 0.467696 + 3.25290i 0.0410197 + 0.285298i
\(131\) −1.37847 1.59084i −0.120438 0.138992i 0.692329 0.721582i \(-0.256585\pi\)
−0.812766 + 0.582590i \(0.802039\pi\)
\(132\) −2.06221 4.51562i −0.179493 0.393034i
\(133\) 3.24233 0.952033i 0.281145 0.0825517i
\(134\) −2.03267 + 4.45092i −0.175596 + 0.384501i
\(135\) 0.0848125 0.589884i 0.00729950 0.0507691i
\(136\) 4.22663 2.71629i 0.362431 0.232920i
\(137\) −9.74162 −0.832283 −0.416141 0.909300i \(-0.636618\pi\)
−0.416141 + 0.909300i \(0.636618\pi\)
\(138\) −4.73502 + 0.761315i −0.403072 + 0.0648074i
\(139\) −19.7784 −1.67758 −0.838790 0.544455i \(-0.816737\pi\)
−0.838790 + 0.544455i \(0.816737\pi\)
\(140\) −0.501345 + 0.322195i −0.0423714 + 0.0272304i
\(141\) 0.337401 2.34667i 0.0284143 0.197626i
\(142\) 3.63527 7.96013i 0.305065 0.667999i
\(143\) 26.2662 7.71245i 2.19649 0.644947i
\(144\) 0.415415 + 0.909632i 0.0346179 + 0.0758027i
\(145\) 2.46838 + 2.84866i 0.204988 + 0.236569i
\(146\) −0.323369 2.24908i −0.0267622 0.186135i
\(147\) 0.959493 + 0.281733i 0.0791376 + 0.0232369i
\(148\) −5.24022 + 6.04754i −0.430744 + 0.497105i
\(149\) −3.25452 2.09155i −0.266621 0.171347i 0.400499 0.916297i \(-0.368837\pi\)
−0.667120 + 0.744950i \(0.732473\pi\)
\(150\) 3.90749 + 2.51119i 0.319045 + 0.205038i
\(151\) −11.6059 + 13.3939i −0.944473 + 1.08998i 0.0513500 + 0.998681i \(0.483648\pi\)
−0.995823 + 0.0912998i \(0.970898\pi\)
\(152\) −3.24233 0.952033i −0.262987 0.0772201i
\(153\) −0.715019 4.97307i −0.0578059 0.402049i
\(154\) 3.25088 + 3.75171i 0.261963 + 0.302321i
\(155\) 1.78917 + 3.91773i 0.143710 + 0.314680i
\(156\) −5.29110 + 1.55361i −0.423627 + 0.124388i
\(157\) 3.66912 8.03425i 0.292828 0.641203i −0.704847 0.709359i \(-0.748984\pi\)
0.997675 + 0.0681563i \(0.0217116\pi\)
\(158\) −1.41137 + 9.81628i −0.112282 + 0.780941i
\(159\) 1.09261 0.702177i 0.0866495 0.0556862i
\(160\) 0.595950 0.0471140
\(161\) 4.32873 2.06449i 0.341152 0.162704i
\(162\) 1.00000 0.0785674
\(163\) −16.2333 + 10.4325i −1.27149 + 0.817137i −0.989813 0.142372i \(-0.954527\pi\)
−0.281677 + 0.959509i \(0.590891\pi\)
\(164\) 1.09530 7.61800i 0.0855287 0.594865i
\(165\) −1.22898 + 2.69108i −0.0956756 + 0.209500i
\(166\) −4.53093 + 1.33040i −0.351668 + 0.103259i
\(167\) 9.92634 + 21.7357i 0.768124 + 1.68196i 0.730741 + 0.682655i \(0.239175\pi\)
0.0373829 + 0.999301i \(0.488098\pi\)
\(168\) −0.654861 0.755750i −0.0505236 0.0583073i
\(169\) −2.47762 17.2322i −0.190586 1.32555i
\(170\) −2.87289 0.843557i −0.220341 0.0646978i
\(171\) −2.21291 + 2.55384i −0.169226 + 0.195297i
\(172\) 8.35904 + 5.37203i 0.637370 + 0.409613i
\(173\) 4.99026 + 3.20704i 0.379402 + 0.243827i 0.716417 0.697672i \(-0.245781\pi\)
−0.337015 + 0.941499i \(0.609417\pi\)
\(174\) −4.14193 + 4.78004i −0.313999 + 0.362374i
\(175\) −4.45670 1.30860i −0.336894 0.0989211i
\(176\) −0.706483 4.91370i −0.0532531 0.370384i
\(177\) −0.525331 0.606265i −0.0394863 0.0455696i
\(178\) 7.04110 + 15.4179i 0.527753 + 1.15562i
\(179\) −16.7125 + 4.90724i −1.24915 + 0.366784i −0.838447 0.544983i \(-0.816536\pi\)
−0.410706 + 0.911768i \(0.634718\pi\)
\(180\) 0.247566 0.542095i 0.0184525 0.0404054i
\(181\) −0.368391 + 2.56221i −0.0273823 + 0.190448i −0.998922 0.0464309i \(-0.985215\pi\)
0.971539 + 0.236879i \(0.0761244\pi\)
\(182\) 4.63907 2.98135i 0.343871 0.220992i
\(183\) 10.1961 0.753714
\(184\) −4.75770 0.603532i −0.350743 0.0444930i
\(185\) 4.76881 0.350610
\(186\) −6.07976 + 3.90723i −0.445790 + 0.286492i
\(187\) −3.54952 + 24.6874i −0.259566 + 1.80532i
\(188\) 0.984869 2.15656i 0.0718289 0.157283i
\(189\) −0.959493 + 0.281733i −0.0697928 + 0.0204930i
\(190\) 0.836579 + 1.83185i 0.0606918 + 0.132897i
\(191\) −1.80784 2.08636i −0.130811 0.150964i 0.686565 0.727068i \(-0.259118\pi\)
−0.817376 + 0.576104i \(0.804572\pi\)
\(192\) 0.142315 + 0.989821i 0.0102707 + 0.0714342i
\(193\) 4.28942 + 1.25949i 0.308760 + 0.0906600i 0.432442 0.901662i \(-0.357652\pi\)
−0.123682 + 0.992322i \(0.539470\pi\)
\(194\) 9.27046 10.6987i 0.665580 0.768121i
\(195\) 2.76465 + 1.77673i 0.197981 + 0.127235i
\(196\) 0.841254 + 0.540641i 0.0600895 + 0.0386172i
\(197\) −2.08351 + 2.40449i −0.148444 + 0.171313i −0.825102 0.564984i \(-0.808882\pi\)
0.676658 + 0.736298i \(0.263428\pi\)
\(198\) −4.76314 1.39858i −0.338501 0.0993930i
\(199\) 1.23422 + 8.58421i 0.0874917 + 0.608518i 0.985644 + 0.168835i \(0.0540004\pi\)
−0.898153 + 0.439684i \(0.855091\pi\)
\(200\) 3.04173 + 3.51034i 0.215083 + 0.248218i
\(201\) 2.03267 + 4.45092i 0.143373 + 0.313943i
\(202\) 6.44240 1.89166i 0.453286 0.133097i
\(203\) 2.62746 5.75333i 0.184411 0.403805i
\(204\) 0.715019 4.97307i 0.0500614 0.348184i
\(205\) −3.85852 + 2.47972i −0.269490 + 0.173191i
\(206\) −0.784342 −0.0546477
\(207\) −2.52541 + 4.07704i −0.175528 + 0.283374i
\(208\) −5.51447 −0.382360
\(209\) 14.1122 9.06933i 0.976158 0.627339i
\(210\) −0.0848125 + 0.589884i −0.00585262 + 0.0407058i
\(211\) −2.11298 + 4.62677i −0.145463 + 0.318520i −0.968313 0.249738i \(-0.919655\pi\)
0.822850 + 0.568259i \(0.192383\pi\)
\(212\) 1.24618 0.365910i 0.0855877 0.0251308i
\(213\) −3.63527 7.96013i −0.249085 0.545419i
\(214\) 1.34711 + 1.55465i 0.0920866 + 0.106274i
\(215\) −0.842731 5.86132i −0.0574738 0.399739i
\(216\) 0.959493 + 0.281733i 0.0652852 + 0.0191695i
\(217\) 4.73270 5.46182i 0.321276 0.370773i
\(218\) −8.05729 5.17810i −0.545708 0.350705i
\(219\) −1.91150 1.22845i −0.129167 0.0830109i
\(220\) −1.93736 + 2.23583i −0.130617 + 0.150740i
\(221\) 26.5836 + 7.80564i 1.78820 + 0.525064i
\(222\) 1.13881 + 7.92059i 0.0764319 + 0.531595i
\(223\) −15.0027 17.3141i −1.00466 1.15944i −0.987184 0.159589i \(-0.948983\pi\)
−0.0174739 0.999847i \(-0.505562\pi\)
\(224\) −0.415415 0.909632i −0.0277561 0.0607773i
\(225\) 4.45670 1.30860i 0.297113 0.0872403i
\(226\) 5.46035 11.9565i 0.363217 0.795334i
\(227\) 2.30892 16.0589i 0.153248 1.06587i −0.757479 0.652859i \(-0.773569\pi\)
0.910728 0.413007i \(-0.135522\pi\)
\(228\) −2.84277 + 1.82694i −0.188267 + 0.120992i
\(229\) 14.0703 0.929794 0.464897 0.885365i \(-0.346091\pi\)
0.464897 + 0.885365i \(0.346091\pi\)
\(230\) 1.58494 + 2.37835i 0.104508 + 0.156824i
\(231\) 4.96422 0.326622
\(232\) −5.32085 + 3.41950i −0.349331 + 0.224501i
\(233\) −2.83608 + 19.7254i −0.185798 + 1.29225i 0.656946 + 0.753937i \(0.271848\pi\)
−0.842744 + 0.538314i \(0.819061\pi\)
\(234\) −2.29079 + 5.01614i −0.149754 + 0.327915i
\(235\) −1.35565 + 0.398055i −0.0884328 + 0.0259662i
\(236\) −0.333247 0.729710i −0.0216925 0.0475001i
\(237\) 6.49440 + 7.49494i 0.421857 + 0.486849i
\(238\) 0.715019 + 4.97307i 0.0463478 + 0.322356i
\(239\) 9.00217 + 2.64327i 0.582302 + 0.170979i 0.559600 0.828763i \(-0.310955\pi\)
0.0227020 + 0.999742i \(0.492773\pi\)
\(240\) 0.390264 0.450389i 0.0251914 0.0290725i
\(241\) −25.7064 16.5205i −1.65590 1.06418i −0.923722 0.383063i \(-0.874869\pi\)
−0.732175 0.681117i \(-0.761495\pi\)
\(242\) 11.4777 + 7.37624i 0.737812 + 0.474163i
\(243\) 0.654861 0.755750i 0.0420093 0.0484814i
\(244\) 9.78305 + 2.87256i 0.626295 + 0.183897i
\(245\) −0.0848125 0.589884i −0.00541847 0.0376863i
\(246\) −5.04003 5.81650i −0.321340 0.370847i
\(247\) −7.74107 16.9506i −0.492553 1.07854i
\(248\) −6.93428 + 2.03609i −0.440327 + 0.129292i
\(249\) −1.96168 + 4.29547i −0.124316 + 0.272214i
\(250\) 0.818003 5.68934i 0.0517351 0.359825i
\(251\) −17.1583 + 11.0269i −1.08302 + 0.696015i −0.955253 0.295790i \(-0.904417\pi\)
−0.127767 + 0.991804i \(0.540781\pi\)
\(252\) −1.00000 −0.0629941
\(253\) 17.7310 15.8875i 1.11474 0.998840i
\(254\) 10.8568 0.681217
\(255\) −2.51886 + 1.61877i −0.157737 + 0.101372i
\(256\) −0.142315 + 0.989821i −0.00889468 + 0.0618638i
\(257\) −1.11427 + 2.43990i −0.0695060 + 0.152197i −0.941196 0.337860i \(-0.890297\pi\)
0.871690 + 0.490057i \(0.163024\pi\)
\(258\) 9.53391 2.79941i 0.593555 0.174284i
\(259\) −3.32417 7.27891i −0.206554 0.452290i
\(260\) 2.15210 + 2.48366i 0.133468 + 0.154030i
\(261\) 0.900127 + 6.26052i 0.0557165 + 0.387517i
\(262\) −2.01972 0.593042i −0.124778 0.0366383i
\(263\) −18.8103 + 21.7082i −1.15989 + 1.33859i −0.228942 + 0.973440i \(0.573527\pi\)
−0.930950 + 0.365147i \(0.881019\pi\)
\(264\) −4.17617 2.68386i −0.257026 0.165180i
\(265\) −0.651140 0.418462i −0.0399992 0.0257059i
\(266\) 2.21291 2.55384i 0.135682 0.156586i
\(267\) 16.2630 + 4.77524i 0.995279 + 0.292240i
\(268\) 0.696360 + 4.84329i 0.0425370 + 0.295851i
\(269\) 13.4874 + 15.5653i 0.822341 + 0.949033i 0.999381 0.0351711i \(-0.0111976\pi\)
−0.177040 + 0.984204i \(0.556652\pi\)
\(270\) −0.247566 0.542095i −0.0150664 0.0329908i
\(271\) −26.1058 + 7.66536i −1.58582 + 0.465637i −0.951554 0.307481i \(-0.900514\pi\)
−0.634261 + 0.773119i \(0.718696\pi\)
\(272\) 2.08713 4.57018i 0.126551 0.277108i
\(273\) 0.784791 5.45834i 0.0474977 0.330354i
\(274\) −8.19517 + 5.26672i −0.495089 + 0.318174i
\(275\) −23.0580 −1.39045
\(276\) −3.57175 + 3.20040i −0.214994 + 0.192642i
\(277\) −21.1178 −1.26885 −0.634424 0.772985i \(-0.718763\pi\)
−0.634424 + 0.772985i \(0.718763\pi\)
\(278\) −16.6386 + 10.6930i −0.997919 + 0.641323i
\(279\) −1.02851 + 7.15347i −0.0615755 + 0.428267i
\(280\) −0.247566 + 0.542095i −0.0147949 + 0.0323964i
\(281\) −16.7433 + 4.91629i −0.998824 + 0.293281i −0.739973 0.672636i \(-0.765162\pi\)
−0.258850 + 0.965917i \(0.583344\pi\)
\(282\) −0.984869 2.15656i −0.0586481 0.128421i
\(283\) −2.34101 2.70167i −0.139158 0.160597i 0.681892 0.731453i \(-0.261157\pi\)
−0.821051 + 0.570855i \(0.806612\pi\)
\(284\) −1.24539 8.66186i −0.0739002 0.513987i
\(285\) 1.93226 + 0.567364i 0.114457 + 0.0336077i
\(286\) 17.9269 20.6887i 1.06004 1.22335i
\(287\) 6.47457 + 4.16095i 0.382182 + 0.245613i
\(288\) 0.841254 + 0.540641i 0.0495713 + 0.0318576i
\(289\) −5.39780 + 6.22939i −0.317518 + 0.366435i
\(290\) 3.61664 + 1.06194i 0.212376 + 0.0623593i
\(291\) −2.01466 14.0123i −0.118102 0.821415i
\(292\) −1.48798 1.71722i −0.0870775 0.100493i
\(293\) 8.55027 + 18.7225i 0.499512 + 1.09378i 0.976628 + 0.214939i \(0.0689551\pi\)
−0.477115 + 0.878841i \(0.658318\pi\)
\(294\) 0.959493 0.281733i 0.0559588 0.0164310i
\(295\) −0.198599 + 0.434870i −0.0115629 + 0.0253191i
\(296\) −1.13881 + 7.92059i −0.0661919 + 0.460375i
\(297\) −4.17617 + 2.68386i −0.242326 + 0.155733i
\(298\) −3.86866 −0.224105
\(299\) −14.6658 22.0075i −0.848146 1.27273i
\(300\) 4.64484 0.268170
\(301\) −8.35904 + 5.37203i −0.481807 + 0.309638i
\(302\) −2.52220 + 17.5423i −0.145136 + 1.00945i
\(303\) 2.78925 6.10762i 0.160238 0.350873i
\(304\) −3.24233 + 0.952033i −0.185960 + 0.0546028i
\(305\) −2.52420 5.52723i −0.144535 0.316488i
\(306\) −3.29016 3.79704i −0.188086 0.217063i
\(307\) −2.92912 20.3725i −0.167174 1.16272i −0.884691 0.466177i \(-0.845631\pi\)
0.717518 0.696540i \(-0.245278\pi\)
\(308\) 4.76314 + 1.39858i 0.271405 + 0.0796917i
\(309\) −0.513635 + 0.592766i −0.0292197 + 0.0337213i
\(310\) 3.62323 + 2.32851i 0.205786 + 0.132250i
\(311\) −3.62392 2.32895i −0.205494 0.132063i 0.433846 0.900987i \(-0.357156\pi\)
−0.639340 + 0.768924i \(0.720792\pi\)
\(312\) −3.61121 + 4.16756i −0.204445 + 0.235942i
\(313\) 7.32655 + 2.15127i 0.414121 + 0.121597i 0.482155 0.876086i \(-0.339854\pi\)
−0.0680336 + 0.997683i \(0.521673\pi\)
\(314\) −1.25698 8.74252i −0.0709357 0.493369i
\(315\) 0.390264 + 0.450389i 0.0219889 + 0.0253765i
\(316\) 4.11976 + 9.02103i 0.231755 + 0.507472i
\(317\) 29.2862 8.59920i 1.64488 0.482979i 0.677331 0.735679i \(-0.263137\pi\)
0.967545 + 0.252700i \(0.0813185\pi\)
\(318\) 0.539535 1.18142i 0.0302556 0.0662506i
\(319\) 4.46843 31.0786i 0.250184 1.74007i
\(320\) 0.501345 0.322195i 0.0280260 0.0180112i
\(321\) 2.05710 0.114816
\(322\) 2.52541 4.07704i 0.140736 0.227205i
\(323\) 16.9778 0.944673
\(324\) 0.841254 0.540641i 0.0467363 0.0300356i
\(325\) −3.64523 + 25.3531i −0.202201 + 1.40634i
\(326\) −8.01608 + 17.5528i −0.443970 + 0.972158i
\(327\) −9.18975 + 2.69835i −0.508194 + 0.149219i
\(328\) −3.19717 7.00083i −0.176534 0.386556i
\(329\) 1.55255 + 1.79174i 0.0855947 + 0.0987816i
\(330\) 0.421028 + 2.92832i 0.0231768 + 0.161198i
\(331\) 6.12415 + 1.79821i 0.336614 + 0.0988387i 0.445671 0.895197i \(-0.352965\pi\)
−0.109058 + 0.994035i \(0.534783\pi\)
\(332\) −3.09239 + 3.56881i −0.169717 + 0.195864i
\(333\) 6.73175 + 4.32623i 0.368897 + 0.237076i
\(334\) 20.1018 + 12.9186i 1.09992 + 0.706875i
\(335\) 1.90960 2.20379i 0.104333 0.120406i
\(336\) −0.959493 0.281733i −0.0523446 0.0153698i
\(337\) 3.18149 + 22.1277i 0.173307 + 1.20537i 0.871838 + 0.489795i \(0.162928\pi\)
−0.698531 + 0.715580i \(0.746163\pi\)
\(338\) −11.4007 13.1571i −0.620118 0.715654i
\(339\) −5.46035 11.9565i −0.296565 0.649388i
\(340\) −2.87289 + 0.843557i −0.155804 + 0.0457483i
\(341\) 14.9037 32.6345i 0.807079 1.76726i
\(342\) −0.480912 + 3.34481i −0.0260047 + 0.180867i
\(343\) −0.841254 + 0.540641i −0.0454234 + 0.0291919i
\(344\) 9.93640 0.535735
\(345\) 2.83535 + 0.359675i 0.152650 + 0.0193642i
\(346\) 5.93193 0.318902
\(347\) −0.677766 + 0.435574i −0.0363844 + 0.0233828i −0.558707 0.829365i \(-0.688702\pi\)
0.522322 + 0.852748i \(0.325066\pi\)
\(348\) −0.900127 + 6.26052i −0.0482519 + 0.335599i
\(349\) 1.34185 2.93824i 0.0718275 0.157280i −0.870313 0.492500i \(-0.836083\pi\)
0.942140 + 0.335220i \(0.108810\pi\)
\(350\) −4.45670 + 1.30860i −0.238220 + 0.0699478i
\(351\) 2.29079 + 5.01614i 0.122274 + 0.267742i
\(352\) −3.25088 3.75171i −0.173272 0.199967i
\(353\) 0.0228052 + 0.158613i 0.00121380 + 0.00844214i 0.990419 0.138092i \(-0.0440971\pi\)
−0.989206 + 0.146535i \(0.953188\pi\)
\(354\) −0.769708 0.226007i −0.0409095 0.0120121i
\(355\) −3.41518 + 3.94132i −0.181259 + 0.209184i
\(356\) 14.2589 + 9.16363i 0.755719 + 0.485671i
\(357\) 4.22663 + 2.71629i 0.223697 + 0.143761i
\(358\) −11.4064 + 13.1637i −0.602848 + 0.695724i
\(359\) −17.9647 5.27491i −0.948141 0.278399i −0.229128 0.973396i \(-0.573587\pi\)
−0.719013 + 0.694997i \(0.755406\pi\)
\(360\) −0.0848125 0.589884i −0.00447001 0.0310896i
\(361\) 4.96446 + 5.72930i 0.261288 + 0.301542i
\(362\) 1.07533 + 2.35464i 0.0565179 + 0.123757i
\(363\) 13.0909 3.84382i 0.687092 0.201748i
\(364\) 2.29079 5.01614i 0.120070 0.262917i
\(365\) −0.192712 + 1.34034i −0.0100870 + 0.0701565i
\(366\) 8.57747 5.51241i 0.448352 0.288138i
\(367\) 33.5174 1.74959 0.874797 0.484490i \(-0.160995\pi\)
0.874797 + 0.484490i \(0.160995\pi\)
\(368\) −4.32873 + 2.06449i −0.225651 + 0.107619i
\(369\) −7.69633 −0.400655
\(370\) 4.01178 2.57822i 0.208563 0.134035i
\(371\) −0.184837 + 1.28557i −0.00959624 + 0.0667433i
\(372\) −3.00222 + 6.57393i −0.155658 + 0.340843i
\(373\) −1.64645 + 0.483440i −0.0852498 + 0.0250316i −0.324079 0.946030i \(-0.605054\pi\)
0.238830 + 0.971062i \(0.423236\pi\)
\(374\) 10.3610 + 22.6874i 0.535754 + 1.17314i
\(375\) −3.76404 4.34393i −0.194374 0.224320i
\(376\) −0.337401 2.34667i −0.0174001 0.121021i
\(377\) −33.4657 9.82641i −1.72357 0.506086i
\(378\) −0.654861 + 0.755750i −0.0336824 + 0.0388716i
\(379\) −9.66911 6.21396i −0.496669 0.319190i 0.268214 0.963359i \(-0.413567\pi\)
−0.764882 + 0.644170i \(0.777203\pi\)
\(380\) 1.69415 + 1.08876i 0.0869080 + 0.0558524i
\(381\) 7.10970 8.20503i 0.364241 0.420356i
\(382\) −2.64883 0.777766i −0.135526 0.0397940i
\(383\) −1.62452 11.2988i −0.0830089 0.577339i −0.988297 0.152542i \(-0.951254\pi\)
0.905288 0.424798i \(-0.139655\pi\)
\(384\) 0.654861 + 0.755750i 0.0334182 + 0.0385667i
\(385\) −1.22898 2.69108i −0.0626344 0.137150i
\(386\) 4.28942 1.25949i 0.218326 0.0641063i
\(387\) 4.12773 9.03847i 0.209824 0.459451i
\(388\) 2.01466 14.0123i 0.102279 0.711366i
\(389\) 17.4997 11.2464i 0.887272 0.570215i −0.0157178 0.999876i \(-0.505003\pi\)
0.902990 + 0.429661i \(0.141367\pi\)
\(390\) 3.28635 0.166411
\(391\) 23.7897 3.82501i 1.20310 0.193439i
\(392\) 1.00000 0.0505076
\(393\) −1.77082 + 1.13804i −0.0893263 + 0.0574065i
\(394\) −0.452789 + 3.14922i −0.0228112 + 0.158655i
\(395\) 2.45517 5.37608i 0.123533 0.270500i
\(396\) −4.76314 + 1.39858i −0.239357 + 0.0702815i
\(397\) −5.44791 11.9293i −0.273423 0.598712i 0.722251 0.691631i \(-0.243108\pi\)
−0.995674 + 0.0929187i \(0.970380\pi\)
\(398\) 5.67927 + 6.55422i 0.284676 + 0.328533i
\(399\) −0.480912 3.34481i −0.0240757 0.167450i
\(400\) 4.45670 + 1.30860i 0.222835 + 0.0654302i
\(401\) −23.9608 + 27.6523i −1.19655 + 1.38089i −0.290956 + 0.956737i \(0.593973\pi\)
−0.905591 + 0.424152i \(0.860572\pi\)
\(402\) 4.11633 + 2.64541i 0.205304 + 0.131941i
\(403\) −33.5267 21.5463i −1.67008 1.07330i
\(404\) 4.39698 5.07439i 0.218758 0.252460i
\(405\) −0.571809 0.167898i −0.0284134 0.00834294i
\(406\) −0.900127 6.26052i −0.0446726 0.310705i
\(407\) −26.0136 30.0213i −1.28945 1.48810i
\(408\) −2.08713 4.57018i −0.103328 0.226258i
\(409\) 19.7643 5.80333i 0.977284 0.286956i 0.246181 0.969224i \(-0.420824\pi\)
0.731103 + 0.682267i \(0.239006\pi\)
\(410\) −1.90535 + 4.17214i −0.0940987 + 0.206047i
\(411\) −1.38638 + 9.64247i −0.0683850 + 0.475628i
\(412\) −0.659831 + 0.424048i −0.0325075 + 0.0208913i
\(413\) 0.802203 0.0394738
\(414\) 0.0797027 + 4.79517i 0.00391717 + 0.235670i
\(415\) 2.81420 0.138144
\(416\) −4.63907 + 2.98135i −0.227449 + 0.146173i
\(417\) −2.81476 + 19.5771i −0.137839 + 0.958693i
\(418\) 6.96865 15.2592i 0.340848 0.746353i
\(419\) 14.2842 4.19421i 0.697827 0.204900i 0.0864687 0.996255i \(-0.472442\pi\)
0.611358 + 0.791354i \(0.290624\pi\)
\(420\) 0.247566 + 0.542095i 0.0120800 + 0.0264515i
\(421\) −12.3207 14.2189i −0.600477 0.692987i 0.371401 0.928472i \(-0.378877\pi\)
−0.971878 + 0.235486i \(0.924332\pi\)
\(422\) 0.723874 + 5.03465i 0.0352376 + 0.245083i
\(423\) −2.27477 0.667933i −0.110603 0.0324760i
\(424\) 0.850524 0.981557i 0.0413051 0.0476686i
\(425\) −19.6321 12.6168i −0.952294 0.612002i
\(426\) −7.36176 4.73111i −0.356678 0.229223i
\(427\) −6.67700 + 7.70567i −0.323123 + 0.372903i
\(428\) 1.97377 + 0.579551i 0.0954057 + 0.0280136i
\(429\) −3.89588 27.0964i −0.188095 1.30823i
\(430\) −3.87782 4.47524i −0.187005 0.215815i
\(431\) 8.90883 + 19.5076i 0.429123 + 0.939649i 0.993468 + 0.114110i \(0.0364016\pi\)
−0.564345 + 0.825539i \(0.690871\pi\)
\(432\) 0.959493 0.281733i 0.0461636 0.0135549i
\(433\) 3.98276 8.72102i 0.191399 0.419105i −0.789466 0.613794i \(-0.789642\pi\)
0.980865 + 0.194689i \(0.0623697\pi\)
\(434\) 1.02851 7.15347i 0.0493702 0.343377i
\(435\) 3.17096 2.03785i 0.152036 0.0977074i
\(436\) −9.57771 −0.458689
\(437\) −12.4224 10.4077i −0.594246 0.497870i
\(438\) −2.27221 −0.108570
\(439\) −17.1209 + 11.0029i −0.817137 + 0.525142i −0.881166 0.472806i \(-0.843241\pi\)
0.0640298 + 0.997948i \(0.479605\pi\)
\(440\) −0.421028 + 2.92832i −0.0200717 + 0.139602i
\(441\) 0.415415 0.909632i 0.0197817 0.0433158i
\(442\) 26.5836 7.80564i 1.26445 0.371276i
\(443\) 10.9636 + 24.0069i 0.520896 + 1.14060i 0.969099 + 0.246672i \(0.0793370\pi\)
−0.448203 + 0.893932i \(0.647936\pi\)
\(444\) 5.24022 + 6.04754i 0.248690 + 0.287004i
\(445\) −1.43753 9.99827i −0.0681457 0.473964i
\(446\) −21.9818 6.45444i −1.04087 0.305627i
\(447\) −2.53343 + 2.92374i −0.119827 + 0.138288i
\(448\) −0.841254 0.540641i −0.0397455 0.0255429i
\(449\) 9.01916 + 5.79626i 0.425640 + 0.273542i 0.735875 0.677118i \(-0.236771\pi\)
−0.310234 + 0.950660i \(0.600408\pi\)
\(450\) 3.04173 3.51034i 0.143388 0.165479i
\(451\) 36.6587 + 10.7640i 1.72619 + 0.506855i
\(452\) −1.87063 13.0105i −0.0879871 0.611964i
\(453\) 11.6059 + 13.3939i 0.545292 + 0.629301i
\(454\) −6.73971 14.7579i −0.316310 0.692623i
\(455\) −3.15323 + 0.925871i −0.147826 + 0.0434055i
\(456\) −1.40377 + 3.07384i −0.0657377 + 0.143946i
\(457\) 1.74672 12.1487i 0.0817079 0.568291i −0.907306 0.420470i \(-0.861865\pi\)
0.989014 0.147821i \(-0.0472259\pi\)
\(458\) 11.8367 7.60700i 0.553094 0.355452i
\(459\) −5.02421 −0.234510
\(460\) 2.61917 + 1.14392i 0.122119 + 0.0533354i
\(461\) 12.8280 0.597459 0.298730 0.954338i \(-0.403437\pi\)
0.298730 + 0.954338i \(0.403437\pi\)
\(462\) 4.17617 2.68386i 0.194293 0.124865i
\(463\) 4.01968 27.9575i 0.186811 1.29930i −0.653391 0.757021i \(-0.726654\pi\)
0.840201 0.542275i \(-0.182437\pi\)
\(464\) −2.62746 + 5.75333i −0.121977 + 0.267092i
\(465\) 4.13248 1.21341i 0.191639 0.0562704i
\(466\) 8.27848 + 18.1273i 0.383493 + 0.839733i
\(467\) −10.4504 12.0604i −0.483585 0.558087i 0.460555 0.887631i \(-0.347650\pi\)
−0.944140 + 0.329544i \(0.893105\pi\)
\(468\) 0.784791 + 5.45834i 0.0362770 + 0.252312i
\(469\) −4.69489 1.37854i −0.216790 0.0636553i
\(470\) −0.925240 + 1.06778i −0.0426782 + 0.0492532i
\(471\) −7.43030 4.77517i −0.342370 0.220028i
\(472\) −0.674856 0.433704i −0.0310628 0.0199628i
\(473\) −32.3020 + 37.2785i −1.48525 + 1.71407i
\(474\) 9.51551 + 2.79401i 0.437062 + 0.128333i
\(475\) 2.23376 + 15.5361i 0.102492 + 0.712847i
\(476\) 3.29016 + 3.79704i 0.150804 + 0.174037i
\(477\) −0.539535 1.18142i −0.0247036 0.0540934i
\(478\) 9.00217 2.64327i 0.411749 0.120901i
\(479\) 0.574661 1.25833i 0.0262569 0.0574946i −0.896049 0.443955i \(-0.853575\pi\)
0.922306 + 0.386460i \(0.126302\pi\)
\(480\) 0.0848125 0.589884i 0.00387114 0.0269244i
\(481\) −37.1220 + 23.8569i −1.69262 + 1.08778i
\(482\) −30.5573 −1.39185
\(483\) −1.42743 4.57848i −0.0649503 0.208328i
\(484\) 13.6435 0.620160
\(485\) −7.09723 + 4.56111i −0.322269 + 0.207109i
\(486\) 0.142315 0.989821i 0.00645553 0.0448992i
\(487\) −9.38383 + 20.5477i −0.425222 + 0.931106i 0.568856 + 0.822437i \(0.307386\pi\)
−0.994078 + 0.108669i \(0.965341\pi\)
\(488\) 9.78305 2.87256i 0.442858 0.130035i
\(489\) 8.01608 + 17.5528i 0.362500 + 0.793764i
\(490\) −0.390264 0.450389i −0.0176303 0.0203465i
\(491\) −6.03157 41.9505i −0.272201 1.89320i −0.425403 0.905004i \(-0.639868\pi\)
0.153203 0.988195i \(-0.451041\pi\)
\(492\) −7.38458 2.16831i −0.332922 0.0977549i
\(493\) 20.8099 24.0159i 0.937232 1.08162i
\(494\) −15.6764 10.0746i −0.705314 0.453278i
\(495\) 2.48879 + 1.59945i 0.111863 + 0.0718898i
\(496\) −4.73270 + 5.46182i −0.212504 + 0.245243i
\(497\) 8.39646 + 2.46542i 0.376633 + 0.110589i
\(498\) 0.672040 + 4.67414i 0.0301148 + 0.209453i
\(499\) −14.0437 16.2073i −0.628683 0.725539i 0.348648 0.937254i \(-0.386641\pi\)
−0.977332 + 0.211714i \(0.932095\pi\)
\(500\) −2.38774 5.22842i −0.106783 0.233822i
\(501\) 22.9271 6.73200i 1.02431 0.300764i
\(502\) −8.47283 + 18.5529i −0.378161 + 0.828057i
\(503\) 3.72474 25.9061i 0.166078 1.15510i −0.720816 0.693126i \(-0.756233\pi\)
0.886894 0.461972i \(-0.152858\pi\)
\(504\) −0.841254 + 0.540641i −0.0374724 + 0.0240821i
\(505\) −4.00143 −0.178061
\(506\) 6.32681 22.9515i 0.281261 1.02032i
\(507\) −17.4094 −0.773178
\(508\) 9.13333 5.86963i 0.405226 0.260423i
\(509\) 1.44576 10.0555i 0.0640823 0.445702i −0.932367 0.361512i \(-0.882261\pi\)
0.996450 0.0841902i \(-0.0268303\pi\)
\(510\) −1.24383 + 2.72360i −0.0550775 + 0.120603i
\(511\) 2.18017 0.640155i 0.0964450 0.0283188i
\(512\) 0.415415 + 0.909632i 0.0183589 + 0.0402004i
\(513\) 2.21291 + 2.55384i 0.0977024 + 0.112755i
\(514\) 0.381731 + 2.65499i 0.0168374 + 0.117107i
\(515\) 0.448494 + 0.131690i 0.0197630 + 0.00580295i
\(516\) 6.50696 7.50943i 0.286453 0.330584i
\(517\) 9.90089 + 6.36292i 0.435441 + 0.279841i
\(518\) −6.73175 4.32623i −0.295776 0.190084i
\(519\) 3.88459 4.48305i 0.170514 0.196784i
\(520\) 3.15323 + 0.925871i 0.138278 + 0.0406021i
\(521\) 0.517952 + 3.60244i 0.0226919 + 0.157826i 0.998017 0.0629491i \(-0.0200506\pi\)
−0.975325 + 0.220775i \(0.929141\pi\)
\(522\) 4.14193 + 4.78004i 0.181287 + 0.209217i
\(523\) 12.9130 + 28.2755i 0.564646 + 1.23640i 0.949600 + 0.313466i \(0.101490\pi\)
−0.384954 + 0.922936i \(0.625783\pi\)
\(524\) −2.01972 + 0.593042i −0.0882317 + 0.0259072i
\(525\) −1.92954 + 4.22510i −0.0842119 + 0.184398i
\(526\) −4.08787 + 28.4317i −0.178239 + 1.23968i
\(527\) 30.5460 19.6307i 1.33060 0.855127i
\(528\) −4.96422 −0.216040
\(529\) −19.7514 11.7848i −0.858756 0.512384i
\(530\) −0.774011 −0.0336209
\(531\) −0.674856 + 0.433704i −0.0292863 + 0.0188211i
\(532\) 0.480912 3.34481i 0.0208502 0.145016i
\(533\) 17.6307 38.6059i 0.763671 1.67221i
\(534\) 16.2630 4.77524i 0.703768 0.206645i
\(535\) −0.509268 1.11514i −0.0220176 0.0482117i
\(536\) 3.20430 + 3.69795i 0.138405 + 0.159727i
\(537\) 2.47885 + 17.2408i 0.106970 + 0.743995i
\(538\) 19.7616 + 5.80252i 0.851981 + 0.250164i
\(539\) −3.25088 + 3.75171i −0.140025 + 0.161598i
\(540\) −0.501345 0.322195i −0.0215744 0.0138651i
\(541\) 30.5819 + 19.6538i 1.31482 + 0.844983i 0.994742 0.102408i \(-0.0326547\pi\)
0.320077 + 0.947391i \(0.396291\pi\)
\(542\) −17.8174 + 20.5624i −0.765323 + 0.883230i
\(543\) 2.48371 + 0.729282i 0.106586 + 0.0312965i
\(544\) −0.715019 4.97307i −0.0306562 0.213219i
\(545\) 3.73784 + 4.31369i 0.160111 + 0.184778i
\(546\) −2.29079 5.01614i −0.0980369 0.214671i
\(547\) 25.0862 7.36596i 1.07261 0.314946i 0.302689 0.953089i \(-0.402116\pi\)
0.769917 + 0.638144i \(0.220297\pi\)
\(548\) −4.04682 + 8.86129i −0.172871 + 0.378536i
\(549\) 1.45105 10.0923i 0.0619293 0.430728i
\(550\) −19.3977 + 12.4661i −0.827119 + 0.531557i
\(551\) −21.3732 −0.910527
\(552\) −1.27448 + 4.62339i −0.0542455 + 0.196784i
\(553\) −9.91723 −0.421723
\(554\) −17.7655 + 11.4172i −0.754782 + 0.485069i
\(555\) 0.678673 4.72027i 0.0288081 0.200364i
\(556\) −8.21623 + 17.9910i −0.348446 + 0.762990i
\(557\) 5.37766 1.57902i 0.227859 0.0669054i −0.165810 0.986158i \(-0.553024\pi\)
0.393669 + 0.919252i \(0.371206\pi\)
\(558\) 3.00222 + 6.57393i 0.127094 + 0.278297i
\(559\) 35.8825 + 41.4106i 1.51767 + 1.75148i
\(560\) 0.0848125 + 0.589884i 0.00358398 + 0.0249271i
\(561\) 23.9310 + 7.02677i 1.01037 + 0.296671i
\(562\) −11.4274 + 13.1880i −0.482038 + 0.556301i
\(563\) −8.58672 5.51835i −0.361887 0.232571i 0.347043 0.937849i \(-0.387186\pi\)
−0.708930 + 0.705278i \(0.750822\pi\)
\(564\) −1.99445 1.28175i −0.0839815 0.0539716i
\(565\) −5.12976 + 5.92005i −0.215810 + 0.249059i
\(566\) −3.43001 1.00714i −0.144174 0.0423333i
\(567\) 0.142315 + 0.989821i 0.00597666 + 0.0415686i
\(568\) −5.73064 6.61352i −0.240453 0.277497i
\(569\) −7.23735 15.8476i −0.303406 0.664366i 0.695106 0.718907i \(-0.255357\pi\)
−0.998511 + 0.0545417i \(0.982630\pi\)
\(570\) 1.93226 0.567364i 0.0809336 0.0237643i
\(571\) 12.9157 28.2815i 0.540507 1.18355i −0.420569 0.907261i \(-0.638170\pi\)
0.961076 0.276285i \(-0.0891032\pi\)
\(572\) 3.89588 27.0964i 0.162895 1.13296i
\(573\) −2.32241 + 1.49252i −0.0970201 + 0.0623510i
\(574\) 7.69633 0.321239
\(575\) 6.63019 + 21.2663i 0.276498 + 0.886866i
\(576\) 1.00000 0.0416667
\(577\) 23.5124 15.1105i 0.978835 0.629059i 0.0496858 0.998765i \(-0.484178\pi\)
0.929149 + 0.369706i \(0.120542\pi\)
\(578\) −1.17305 + 8.15877i −0.0487926 + 0.339360i
\(579\) 1.85712 4.06652i 0.0771792 0.168999i
\(580\) 3.61664 1.06194i 0.150173 0.0440947i
\(581\) −1.96168 4.29547i −0.0813840 0.178206i
\(582\) −9.27046 10.6987i −0.384273 0.443475i
\(583\) 0.917570 + 6.38184i 0.0380019 + 0.264309i
\(584\) −2.18017 0.640155i −0.0902160 0.0264898i
\(585\) 2.15210 2.48366i 0.0889784 0.102687i
\(586\) 17.3151 + 11.1277i 0.715280 + 0.459682i
\(587\) 18.1153 + 11.6420i 0.747700 + 0.480518i 0.858172 0.513362i \(-0.171600\pi\)
−0.110472 + 0.993879i \(0.535236\pi\)
\(588\) 0.654861 0.755750i 0.0270060 0.0311666i
\(589\) −23.4324 6.88037i −0.965515 0.283501i
\(590\) 0.0680368 + 0.473207i 0.00280103 + 0.0194816i
\(591\) 2.08351 + 2.40449i 0.0857040 + 0.0989077i
\(592\) 3.32417 + 7.27891i 0.136622 + 0.299161i
\(593\) 8.46457 2.48542i 0.347598 0.102064i −0.103273 0.994653i \(-0.532932\pi\)
0.450871 + 0.892589i \(0.351113\pi\)
\(594\) −2.06221 + 4.51562i −0.0846136 + 0.185278i
\(595\) 0.426116 2.96370i 0.0174690 0.121500i
\(596\) −3.25452 + 2.09155i −0.133310 + 0.0856734i
\(597\) 8.67248 0.354941
\(598\) −24.2358 10.5849i −0.991076 0.432851i
\(599\) −28.0704 −1.14692 −0.573462 0.819232i \(-0.694400\pi\)
−0.573462 + 0.819232i \(0.694400\pi\)
\(600\) 3.90749 2.51119i 0.159523 0.102519i
\(601\) 3.60400 25.0664i 0.147010 1.02248i −0.774068 0.633102i \(-0.781781\pi\)
0.921079 0.389376i \(-0.127309\pi\)
\(602\) −4.12773 + 9.03847i −0.168234 + 0.368381i
\(603\) 4.69489 1.37854i 0.191191 0.0561387i
\(604\) 7.36227 + 16.1211i 0.299566 + 0.655959i
\(605\) −5.32458 6.14489i −0.216475 0.249825i
\(606\) −0.955556 6.64604i −0.0388168 0.269977i
\(607\) −38.6112 11.3373i −1.56718 0.460166i −0.621002 0.783809i \(-0.713274\pi\)
−0.946179 + 0.323643i \(0.895092\pi\)
\(608\) −2.21291 + 2.55384i −0.0897454 + 0.103572i
\(609\) −5.32085 3.41950i −0.215612 0.138565i
\(610\) −5.11174 3.28512i −0.206968 0.133010i
\(611\) 8.56148 9.88048i 0.346360 0.399721i
\(612\) −4.82069 1.41548i −0.194865 0.0572175i
\(613\) −1.30789 9.09658i −0.0528252 0.367408i −0.999038 0.0438614i \(-0.986034\pi\)
0.946212 0.323546i \(-0.104875\pi\)
\(614\) −13.4783 15.5548i −0.543940 0.627741i
\(615\) 1.90535 + 4.17214i 0.0768313 + 0.168237i
\(616\) 4.76314 1.39858i 0.191912 0.0563505i
\(617\) 19.2940 42.2479i 0.776747 1.70084i 0.0655448 0.997850i \(-0.479121\pi\)
0.711202 0.702988i \(-0.248151\pi\)
\(618\) −0.111624 + 0.776359i −0.00449016 + 0.0312297i
\(619\) −9.69325 + 6.22947i −0.389605 + 0.250384i −0.720749 0.693197i \(-0.756202\pi\)
0.331144 + 0.943580i \(0.392565\pi\)
\(620\) 4.30694 0.172971
\(621\) 3.67614 + 3.07993i 0.147518 + 0.123593i
\(622\) −4.30777 −0.172726
\(623\) −14.2589 + 9.16363i −0.571270 + 0.367133i
\(624\) −0.784791 + 5.45834i −0.0314168 + 0.218509i
\(625\) 8.22472 18.0096i 0.328989 0.720385i
\(626\) 7.32655 2.15127i 0.292828 0.0859820i
\(627\) −6.96865 15.2592i −0.278301 0.609394i
\(628\) −5.78400 6.67510i −0.230807 0.266365i
\(629\) −5.72161 39.7947i −0.228136 1.58672i
\(630\) 0.571809 + 0.167898i 0.0227814 + 0.00668923i
\(631\) −16.9349 + 19.5439i −0.674167 + 0.778031i −0.985022 0.172427i \(-0.944839\pi\)
0.310855 + 0.950457i \(0.399385\pi\)
\(632\) 8.34290 + 5.36166i 0.331863 + 0.213275i
\(633\) 4.27897 + 2.74993i 0.170074 + 0.109300i
\(634\) 19.9880 23.0674i 0.793826 0.916124i
\(635\) −6.20803 1.82284i −0.246358 0.0723372i
\(636\) −0.184837 1.28557i −0.00732925 0.0509760i
\(637\) 3.61121 + 4.16756i 0.143081 + 0.165125i
\(638\) −13.0433 28.5608i −0.516389 1.13073i
\(639\) −8.39646 + 2.46542i −0.332159 + 0.0975307i
\(640\) 0.247566 0.542095i 0.00978592 0.0214282i
\(641\) 1.35506 9.42462i 0.0535215 0.372250i −0.945404 0.325901i \(-0.894332\pi\)
0.998925 0.0463488i \(-0.0147586\pi\)
\(642\) 1.73054 1.11215i 0.0682989 0.0438930i
\(643\) −45.2734 −1.78541 −0.892704 0.450644i \(-0.851194\pi\)
−0.892704 + 0.450644i \(0.851194\pi\)
\(644\) −0.0797027 4.79517i −0.00314072 0.188956i
\(645\) −5.92160 −0.233163
\(646\) 14.2827 9.17892i 0.561944 0.361140i
\(647\) 3.57791 24.8849i 0.140662 0.978326i −0.790172 0.612885i \(-0.790009\pi\)
0.930834 0.365441i \(-0.119082\pi\)
\(648\) 0.415415 0.909632i 0.0163190 0.0357337i
\(649\) 3.82100 1.12195i 0.149988 0.0440403i
\(650\) 10.6404 + 23.2992i 0.417350 + 0.913869i
\(651\) −4.73270 5.46182i −0.185489 0.214066i
\(652\) 2.74619 + 19.1001i 0.107549 + 0.748020i
\(653\) 5.01398 + 1.47224i 0.196212 + 0.0576131i 0.378362 0.925658i \(-0.376487\pi\)
−0.182150 + 0.983271i \(0.558306\pi\)
\(654\) −6.27207 + 7.23835i −0.245257 + 0.283042i
\(655\) 1.05532 + 0.678214i 0.0412348 + 0.0265000i
\(656\) −6.47457 4.16095i −0.252789 0.162458i
\(657\) −1.48798 + 1.71722i −0.0580516 + 0.0669952i
\(658\) 2.27477 + 0.667933i 0.0886798 + 0.0260388i
\(659\) −3.77587 26.2617i −0.147087 1.02301i −0.920956 0.389667i \(-0.872590\pi\)
0.773869 0.633346i \(-0.218319\pi\)
\(660\) 1.93736 + 2.23583i 0.0754116 + 0.0870296i
\(661\) −5.04814 11.0539i −0.196350 0.429947i 0.785690 0.618621i \(-0.212308\pi\)
−0.982040 + 0.188674i \(0.939581\pi\)
\(662\) 6.12415 1.79821i 0.238022 0.0698895i
\(663\) 11.5094 25.2021i 0.446989 0.978770i
\(664\) −0.672040 + 4.67414i −0.0260802 + 0.181392i
\(665\) −1.69415 + 1.08876i −0.0656963 + 0.0422204i
\(666\) 8.00204 0.310073
\(667\) −29.9485 + 4.81524i −1.15961 + 0.186447i
\(668\) 23.8950 0.924526
\(669\) −19.2730 + 12.3860i −0.745136 + 0.478870i
\(670\) 0.414996 2.88636i 0.0160327 0.111510i
\(671\) −21.0264 + 46.0415i −0.811717 + 1.77741i
\(672\) −0.959493 + 0.281733i −0.0370132 + 0.0108681i
\(673\) 14.9878 + 32.8187i 0.577737 + 1.26507i 0.942574 + 0.333997i \(0.108398\pi\)
−0.364837 + 0.931071i \(0.618875\pi\)
\(674\) 14.6396 + 16.8950i 0.563896 + 0.650771i
\(675\) −0.661030 4.59757i −0.0254431 0.176960i
\(676\) −16.7042 4.90479i −0.642469 0.188646i
\(677\) −19.5998 + 22.6194i −0.753283 + 0.869335i −0.994882 0.101041i \(-0.967783\pi\)
0.241599 + 0.970376i \(0.422328\pi\)
\(678\) −11.0577 7.10636i −0.424669 0.272918i
\(679\) 11.9091 + 7.65352i 0.457030 + 0.293715i
\(680\) −1.96077 + 2.26285i −0.0751920 + 0.0867762i
\(681\) −15.5668 4.57084i −0.596523 0.175155i
\(682\) −5.10577 35.5114i −0.195510 1.35980i
\(683\) 6.23782 + 7.19883i 0.238684 + 0.275455i 0.862436 0.506167i \(-0.168938\pi\)
−0.623752 + 0.781622i \(0.714393\pi\)
\(684\) 1.40377 + 3.07384i 0.0536746 + 0.117531i
\(685\) 5.57035 1.63560i 0.212832 0.0624932i
\(686\) −0.415415 + 0.909632i −0.0158606 + 0.0347299i
\(687\) 2.00242 13.9271i 0.0763970 0.531353i
\(688\) 8.35904 5.37203i 0.318685 0.204807i
\(689\) 7.16212 0.272855
\(690\) 2.57970 1.23033i 0.0982077 0.0468378i
\(691\) 49.9914 1.90176 0.950881 0.309556i \(-0.100180\pi\)
0.950881 + 0.309556i \(0.100180\pi\)
\(692\) 4.99026 3.20704i 0.189701 0.121913i
\(693\) 0.706483 4.91370i 0.0268371 0.186656i
\(694\) −0.334684 + 0.732856i −0.0127044 + 0.0278188i
\(695\) 11.3095 3.32076i 0.428992 0.125964i
\(696\) 2.62746 + 5.75333i 0.0995936 + 0.218080i
\(697\) 25.3221 + 29.2233i 0.959144 + 1.10691i
\(698\) −0.459697 3.19726i −0.0173998 0.121018i
\(699\) 19.1210 + 5.61443i 0.723222 + 0.212357i
\(700\) −3.04173 + 3.51034i −0.114966 + 0.132678i
\(701\) 6.55720 + 4.21406i 0.247662 + 0.159163i 0.658583 0.752508i \(-0.271156\pi\)
−0.410921 + 0.911671i \(0.634793\pi\)
\(702\) 4.63907 + 2.98135i 0.175090 + 0.112524i
\(703\) −17.7078 + 20.4359i −0.667863 + 0.770755i
\(704\) −4.76314 1.39858i −0.179518 0.0527111i
\(705\) 0.201074 + 1.39850i 0.00757288 + 0.0526706i
\(706\) 0.104938 + 0.121105i 0.00394938 + 0.00455783i
\(707\) 2.78925 + 6.10762i 0.104901 + 0.229701i
\(708\) −0.769708 + 0.226007i −0.0289274 + 0.00849385i
\(709\) 7.92315 17.3493i 0.297560 0.651566i −0.700511 0.713641i \(-0.747045\pi\)
0.998071 + 0.0620753i \(0.0197719\pi\)
\(710\) −0.742189 + 5.16203i −0.0278538 + 0.193728i
\(711\) 8.34290 5.36166i 0.312883 0.201078i
\(712\) 16.9496 0.635212
\(713\) −34.3841 4.36174i −1.28769 0.163349i
\(714\) 5.02421 0.188026
\(715\) −13.7243 + 8.82010i −0.513262 + 0.329853i
\(716\) −2.47885 + 17.2408i −0.0926390 + 0.644319i
\(717\) 3.89751 8.53436i 0.145555 0.318721i
\(718\) −17.9647 + 5.27491i −0.670437 + 0.196858i
\(719\) −16.6576 36.4751i −0.621225 1.36029i −0.914625 0.404303i \(-0.867514\pi\)
0.293400 0.955990i \(-0.405213\pi\)
\(720\) −0.390264 0.450389i −0.0145443 0.0167850i
\(721\) −0.111624 0.776359i −0.00415708 0.0289131i
\(722\) 7.27386 + 2.13580i 0.270705 + 0.0794862i
\(723\) −20.0108 + 23.0937i −0.744209 + 0.858863i
\(724\) 2.17764 + 1.39948i 0.0809312 + 0.0520113i
\(725\) 24.7145 + 15.8830i 0.917874 + 0.589881i
\(726\) 8.93461 10.3111i 0.331594 0.382680i
\(727\) 19.4886 + 5.72238i 0.722793 + 0.212231i 0.622381 0.782715i \(-0.286166\pi\)
0.100412 + 0.994946i \(0.467984\pi\)
\(728\) −0.784791 5.45834i −0.0290863 0.202300i
\(729\) −0.654861 0.755750i −0.0242541 0.0279907i
\(730\) 0.562523 + 1.23175i 0.0208199 + 0.0455892i
\(731\) −47.9003 + 14.0648i −1.77166 + 0.520206i
\(732\) 4.23560 9.27466i 0.156552 0.342801i
\(733\) 1.03185 7.17665i 0.0381121 0.265076i −0.961852 0.273571i \(-0.911795\pi\)
0.999964 + 0.00849543i \(0.00270421\pi\)
\(734\) 28.1966 18.1209i 1.04076 0.668854i
\(735\) −0.595950 −0.0219819
\(736\) −2.52541 + 4.07704i −0.0930880 + 0.150282i
\(737\) −24.2904 −0.894749
\(738\) −6.47457 + 4.16095i −0.238332 + 0.153167i
\(739\) 5.60129 38.9578i 0.206047 1.43309i −0.579847 0.814725i \(-0.696888\pi\)
0.785894 0.618361i \(-0.212203\pi\)
\(740\) 1.98104 4.33787i 0.0728244 0.159463i
\(741\) −17.8797 + 5.24996i −0.656828 + 0.192862i
\(742\) 0.539535 + 1.18142i 0.0198070 + 0.0433712i
\(743\) 19.4729 + 22.4729i 0.714390 + 0.824450i 0.990621 0.136642i \(-0.0436309\pi\)
−0.276231 + 0.961091i \(0.589085\pi\)
\(744\) 1.02851 + 7.15347i 0.0377071 + 0.262259i
\(745\) 2.21214 + 0.649541i 0.0810464 + 0.0237974i
\(746\) −1.12371 + 1.29683i −0.0411420 + 0.0474804i
\(747\) 3.97257 + 2.55302i 0.145349 + 0.0934101i
\(748\) 20.9820 + 13.4843i 0.767176 + 0.493034i
\(749\) −1.34711 + 1.55465i −0.0492224 + 0.0568056i
\(750\) −5.51501 1.61935i −0.201380 0.0591304i
\(751\) 2.55294 + 17.7561i 0.0931582 + 0.647930i 0.981883 + 0.189488i \(0.0606830\pi\)
−0.888725 + 0.458441i \(0.848408\pi\)
\(752\) −1.55255 1.79174i −0.0566156 0.0653379i
\(753\) 8.47283 + 18.5529i 0.308767 + 0.676106i
\(754\) −33.4657 + 9.82641i −1.21875 + 0.357857i
\(755\) 4.38754 9.60737i 0.159679 0.349648i
\(756\) −0.142315 + 0.989821i −0.00517594 + 0.0359995i
\(757\) 31.8869 20.4924i 1.15895 0.744810i 0.187546 0.982256i \(-0.439946\pi\)
0.971401 + 0.237446i \(0.0763101\pi\)
\(758\) −11.4937 −0.417470
\(759\) −13.2024 19.8115i −0.479218 0.719113i
\(760\) 2.01384 0.0730496
\(761\) −28.8851 + 18.5633i −1.04709 + 0.672921i −0.946729 0.322031i \(-0.895635\pi\)
−0.100356 + 0.994952i \(0.531998\pi\)
\(762\) 1.54509 10.7463i 0.0559725 0.389297i
\(763\) 3.97873 8.71219i 0.144040 0.315403i
\(764\) −2.64883 + 0.777766i −0.0958312 + 0.0281386i
\(765\) 1.24383 + 2.72360i 0.0449706 + 0.0984719i
\(766\) −7.47520 8.62684i −0.270090 0.311700i
\(767\) −0.629562 4.37870i −0.0227322 0.158106i
\(768\) 0.959493 + 0.281733i 0.0346227 + 0.0101661i
\(769\) 21.8621 25.2302i 0.788367 0.909824i −0.209317 0.977848i \(-0.567124\pi\)
0.997684 + 0.0680237i \(0.0216694\pi\)
\(770\) −2.48879 1.59945i −0.0896897 0.0576401i
\(771\) 2.25649 + 1.45016i 0.0812656 + 0.0522262i
\(772\) 2.92756 3.37859i 0.105365 0.121598i
\(773\) −32.3052 9.48565i −1.16194 0.341175i −0.356751 0.934199i \(-0.616116\pi\)
−0.805185 + 0.593024i \(0.797934\pi\)
\(774\) −1.41410 9.83527i −0.0508287 0.353521i
\(775\) 21.9826 + 25.3693i 0.789640 + 0.911293i
\(776\) −5.88077 12.8771i −0.211107 0.462261i
\(777\) −7.67790 + 2.25444i −0.275443 + 0.0808774i
\(778\) 8.64146 18.9222i 0.309811 0.678392i
\(779\) 3.70126 25.7428i 0.132611 0.922331i
\(780\) 2.76465 1.77673i 0.0989904 0.0636173i
\(781\) 43.4416 1.55446
\(782\) 17.9452 16.0795i 0.641720 0.575001i
\(783\) 6.32490 0.226034
\(784\) 0.841254 0.540641i 0.0300448 0.0193086i
\(785\) −0.749099 + 5.21010i −0.0267365 + 0.185956i
\(786\) −0.874442 + 1.91476i −0.0311903 + 0.0682972i
\(787\) −10.9299 + 3.20929i −0.389607 + 0.114399i −0.470669 0.882310i \(-0.655987\pi\)
0.0810613 + 0.996709i \(0.474169\pi\)
\(788\) 1.32168 + 2.89409i 0.0470831 + 0.103098i
\(789\) 18.8103 + 21.7082i 0.669664 + 0.772833i
\(790\) −0.841104 5.85001i −0.0299252 0.208134i
\(791\) 12.6119 + 3.70318i 0.448427 + 0.131670i
\(792\) −3.25088 + 3.75171i −0.115515 + 0.133311i
\(793\) 47.3002 + 30.3980i 1.67968 + 1.07946i
\(794\) −11.0325 7.09017i −0.391529 0.251621i
\(795\) −0.506870 + 0.584959i −0.0179768 + 0.0207463i
\(796\) 8.32118 + 2.44332i 0.294937 + 0.0866012i
\(797\) 6.43988 + 44.7903i 0.228112 + 1.58656i 0.706050 + 0.708162i \(0.250475\pi\)
−0.477938 + 0.878393i \(0.658616\pi\)
\(798\) −2.21291 2.55384i −0.0783362 0.0904048i
\(799\) 4.94818 + 10.8350i 0.175054 + 0.383315i
\(800\) 4.45670 1.30860i 0.157568 0.0462661i
\(801\) 7.04110 15.4179i 0.248785 0.544764i
\(802\) −5.20719 + 36.2168i −0.183872 + 1.27886i
\(803\) 9.48913 6.09829i 0.334864 0.215204i
\(804\) 4.89310 0.172566
\(805\) −2.12858 + 1.90728i −0.0750228 + 0.0672228i
\(806\) −39.8532 −1.40377
\(807\) 17.3263 11.1349i 0.609915 0.391969i
\(808\) 0.955556 6.64604i 0.0336163 0.233807i
\(809\) −10.9032 + 23.8747i −0.383336 + 0.839390i 0.615355 + 0.788250i \(0.289013\pi\)
−0.998692 + 0.0511397i \(0.983715\pi\)
\(810\) −0.571809 + 0.167898i −0.0200913 + 0.00589935i
\(811\) 5.33459 + 11.6811i 0.187323 + 0.410180i 0.979872 0.199629i \(-0.0639736\pi\)
−0.792549 + 0.609809i \(0.791246\pi\)
\(812\) −4.14193 4.78004i −0.145353 0.167747i
\(813\) 3.87209 + 26.9310i 0.135800 + 0.944511i
\(814\) −38.1148 11.1915i −1.33592 0.392263i
\(815\) 7.53075 8.69095i 0.263791 0.304431i
\(816\) −4.22663 2.71629i −0.147962 0.0950892i
\(817\) 28.2469 + 18.1532i 0.988235 + 0.635100i
\(818\) 13.4893 15.5675i 0.471642 0.544304i
\(819\) −5.29110 1.55361i −0.184886 0.0542874i
\(820\) 0.652745 + 4.53994i 0.0227948 + 0.158542i
\(821\) −23.3122 26.9037i −0.813601 0.938945i 0.185443 0.982655i \(-0.440628\pi\)
−0.999044 + 0.0437095i \(0.986082\pi\)
\(822\) 4.04682 + 8.86129i 0.141149 + 0.309073i
\(823\) −16.6911 + 4.90094i −0.581814 + 0.170836i −0.559378 0.828912i \(-0.688960\pi\)
−0.0224352 + 0.999748i \(0.507142\pi\)
\(824\) −0.325828 + 0.713463i −0.0113507 + 0.0248547i
\(825\) −3.28150 + 22.8233i −0.114247 + 0.794607i
\(826\) 0.674856 0.433704i 0.0234813 0.0150905i
\(827\) 34.4170 1.19680 0.598398 0.801199i \(-0.295804\pi\)
0.598398 + 0.801199i \(0.295804\pi\)
\(828\) 2.65951 + 3.99086i 0.0924245 + 0.138692i
\(829\) 7.46253 0.259184 0.129592 0.991567i \(-0.458633\pi\)
0.129592 + 0.991567i \(0.458633\pi\)
\(830\) 2.36745 1.52147i 0.0821755 0.0528110i
\(831\) −3.00538 + 20.9029i −0.104256 + 0.725113i
\(832\) −2.29079 + 5.01614i −0.0794190 + 0.173903i
\(833\) −4.82069 + 1.41548i −0.167027 + 0.0490436i
\(834\) 8.21623 + 17.9910i 0.284505 + 0.622979i
\(835\) −9.32536 10.7620i −0.322717 0.372436i
\(836\) −2.38735 16.6044i −0.0825683 0.574275i
\(837\) 6.93428 + 2.03609i 0.239684 + 0.0703775i
\(838\) 9.74904 11.2510i 0.336775 0.388659i
\(839\) −11.8893 7.64078i −0.410463 0.263789i 0.319074 0.947730i \(-0.396628\pi\)
−0.729537 + 0.683941i \(0.760265\pi\)
\(840\) 0.501345 + 0.322195i 0.0172980 + 0.0111168i
\(841\) −7.20634 + 8.31656i −0.248494 + 0.286778i
\(842\) −18.0522 5.30060i −0.622120 0.182671i
\(843\) 2.48342 + 17.2726i 0.0855336 + 0.594899i
\(844\) 3.33090 + 3.84406i 0.114654 + 0.132318i
\(845\) 4.30998 + 9.43754i 0.148268 + 0.324661i
\(846\) −2.27477 + 0.667933i −0.0782083 + 0.0229640i
\(847\) −5.66772 + 12.4106i −0.194745 + 0.426433i
\(848\) 0.184837 1.28557i 0.00634731 0.0441465i
\(849\) −3.00733 + 1.93269i −0.103211 + 0.0663298i
\(850\) −23.3367 −0.800441
\(851\) −20.2085 + 32.6247i −0.692737 + 1.11836i
\(852\) −8.75094 −0.299802
\(853\) −1.81607 + 1.16712i −0.0621811 + 0.0399614i −0.571362 0.820698i \(-0.693585\pi\)
0.509181 + 0.860660i \(0.329948\pi\)
\(854\) −1.45105 + 10.0923i −0.0496539 + 0.345351i
\(855\) 0.836579 1.83185i 0.0286104 0.0626480i
\(856\) 1.97377 0.579551i 0.0674620 0.0198086i
\(857\) 18.9763 + 41.5522i 0.648217 + 1.41940i 0.893106 + 0.449846i \(0.148521\pi\)
−0.244889 + 0.969551i \(0.578752\pi\)
\(858\) −17.9269 20.6887i −0.612013 0.706301i
\(859\) 0.717704 + 4.99174i 0.0244877 + 0.170316i 0.998395 0.0566291i \(-0.0180353\pi\)
−0.973908 + 0.226945i \(0.927126\pi\)
\(860\) −5.68173 1.66831i −0.193745 0.0568888i
\(861\) 5.04003 5.81650i 0.171764 0.198226i
\(862\) 18.0412 + 11.5944i 0.614486 + 0.394906i
\(863\) 43.8276 + 28.1663i 1.49191 + 0.958791i 0.995899 + 0.0904746i \(0.0288384\pi\)
0.496010 + 0.868317i \(0.334798\pi\)
\(864\) 0.654861 0.755750i 0.0222788 0.0257111i
\(865\) −3.39193 0.995961i −0.115329 0.0338637i
\(866\) −1.36443 9.48983i −0.0463653 0.322478i
\(867\) 5.39780 + 6.22939i 0.183319 + 0.211561i
\(868\) −3.00222 6.57393i −0.101902 0.223134i
\(869\) −47.2371 + 13.8701i −1.60241 + 0.470510i
\(870\) 1.56583 3.42870i 0.0530867 0.116244i
\(871\) −3.84006 + 26.7082i −0.130115 + 0.904973i
\(872\) −8.05729 + 5.17810i −0.272854 + 0.175353i
\(873\) −14.1564 −0.479121
\(874\) −16.0773 2.03946i −0.543822 0.0689858i
\(875\) 5.74784 0.194313
\(876\) −1.91150 + 1.22845i −0.0645837 + 0.0415054i
\(877\) −8.18257 + 56.9110i −0.276306 + 1.92175i 0.0994772 + 0.995040i \(0.468283\pi\)
−0.375783 + 0.926708i \(0.622626\pi\)
\(878\) −8.45439 + 18.5125i −0.285322 + 0.624768i
\(879\) 19.7487 5.79876i 0.666109 0.195587i
\(880\) 1.22898 + 2.69108i 0.0414287 + 0.0907163i
\(881\) −10.0173 11.5606i −0.337492 0.389487i 0.561481 0.827489i \(-0.310232\pi\)
−0.898974 + 0.438002i \(0.855686\pi\)
\(882\) −0.142315 0.989821i −0.00479199 0.0333290i
\(883\) −4.44849 1.30620i −0.149704 0.0439570i 0.206022 0.978547i \(-0.433948\pi\)
−0.355726 + 0.934590i \(0.615766\pi\)
\(884\) 18.1435 20.9387i 0.610231 0.704244i
\(885\) 0.402180 + 0.258466i 0.0135191 + 0.00868823i
\(886\) 22.2023 + 14.2685i 0.745901 + 0.479361i
\(887\) −13.8628 + 15.9985i −0.465466 + 0.537177i −0.939145 0.343521i \(-0.888380\pi\)
0.473679 + 0.880698i \(0.342926\pi\)
\(888\) 7.67790 + 2.25444i 0.257654 + 0.0756539i
\(889\) 1.54509 + 10.7463i 0.0518205 + 0.360419i
\(890\) −6.61481 7.63389i −0.221729 0.255889i
\(891\) 2.06221 + 4.51562i 0.0690867 + 0.151279i
\(892\) −21.9818 + 6.45444i −0.736005 + 0.216111i
\(893\) 3.32808 7.28747i 0.111370 0.243866i
\(894\) −0.550567 + 3.82928i −0.0184137 + 0.128070i
\(895\) 8.73246 5.61201i 0.291894 0.187589i
\(896\) −1.00000 −0.0334077
\(897\) −23.8707 + 11.3845i −0.797018 + 0.380119i
\(898\) 10.7211 0.357767
\(899\) −38.4539 + 24.7128i −1.28251 + 0.824219i
\(900\) 0.661030 4.59757i 0.0220343 0.153252i
\(901\) −2.71074 + 5.93569i −0.0903078 + 0.197746i
\(902\) 36.6587 10.7640i 1.22060 0.358401i
\(903\) 4.12773 + 9.03847i 0.137362 + 0.300781i
\(904\) −8.60770 9.93381i −0.286288 0.330394i
\(905\) −0.219542 1.52695i −0.00729783 0.0507575i
\(906\) 17.0048 + 4.99305i 0.564946 + 0.165883i
\(907\) −11.4836 + 13.2528i −0.381308 + 0.440052i −0.913665 0.406467i \(-0.866761\pi\)
0.532358 + 0.846519i \(0.321306\pi\)
\(908\) −13.6485 8.77137i −0.452942 0.291088i
\(909\) −5.64850 3.63007i −0.187349 0.120402i
\(910\) −2.15210 + 2.48366i −0.0713414 + 0.0823324i
\(911\) −50.0752 14.7034i −1.65907 0.487145i −0.687950 0.725758i \(-0.741489\pi\)
−0.971115 + 0.238612i \(0.923307\pi\)
\(912\) 0.480912 + 3.34481i 0.0159246 + 0.110758i
\(913\) −15.3513 17.7164i −0.508054 0.586326i
\(914\) −5.09864 11.1645i −0.168648 0.369288i
\(915\) −5.83020 + 1.71190i −0.192741 + 0.0565937i
\(916\) 5.84503 12.7988i 0.193125 0.422885i
\(917\) 0.299570 2.08356i 0.00989268 0.0688051i
\(918\) −4.22663 + 2.71629i −0.139500 + 0.0896510i
\(919\) 47.4984 1.56683 0.783413 0.621501i \(-0.213477\pi\)
0.783413 + 0.621501i \(0.213477\pi\)
\(920\) 2.82183 0.453705i 0.0930331 0.0149582i
\(921\) −20.5819 −0.678198
\(922\) 10.7916 6.93534i 0.355402 0.228403i
\(923\) 6.86766 47.7656i 0.226052 1.57222i
\(924\) 2.06221 4.51562i 0.0678418 0.148553i
\(925\) 35.6627 10.4715i 1.17258 0.344301i
\(926\) −11.7334 25.6926i −0.385583 0.844310i
\(927\) 0.513635 + 0.592766i 0.0168700 + 0.0194690i
\(928\) 0.900127 + 6.26052i 0.0295481 + 0.205512i
\(929\) 9.29647 + 2.72969i 0.305007 + 0.0895582i 0.430655 0.902517i \(-0.358283\pi\)
−0.125648 + 0.992075i \(0.540101\pi\)
\(930\) 2.82045 3.25497i 0.0924861 0.106735i
\(931\) 2.84277 + 1.82694i 0.0931681 + 0.0598755i
\(932\) 16.7647 + 10.7740i 0.549145 + 0.352914i
\(933\) −2.82099 + 3.25559i −0.0923549 + 0.106583i
\(934\) −15.3117 4.49593i −0.501015 0.147111i
\(935\) −2.11533 14.7125i −0.0691788 0.481149i
\(936\) 3.61121 + 4.16756i 0.118036 + 0.136221i
\(937\) 3.57095 + 7.81929i 0.116658 + 0.255445i 0.958949 0.283577i \(-0.0915212\pi\)
−0.842292 + 0.539022i \(0.818794\pi\)
\(938\) −4.69489 + 1.37854i −0.153294 + 0.0450111i
\(939\) 3.17205 6.94582i 0.103516 0.226668i
\(940\) −0.201074 + 1.39850i −0.00655831 + 0.0456140i
\(941\) −23.6080 + 15.1720i −0.769599 + 0.494592i −0.865567 0.500793i \(-0.833042\pi\)
0.0959677 + 0.995384i \(0.469405\pi\)
\(942\) −8.83242 −0.287776
\(943\) −0.613418 36.9052i −0.0199756 1.20180i
\(944\) −0.802203 −0.0261095
\(945\) 0.501345 0.322195i 0.0163087 0.0104810i
\(946\) −7.01990 + 48.8245i −0.228237 + 1.58742i
\(947\) −13.9642 + 30.5774i −0.453776 + 0.993631i 0.535086 + 0.844798i \(0.320279\pi\)
−0.988862 + 0.148834i \(0.952448\pi\)
\(948\) 9.51551 2.79401i 0.309049 0.0907451i
\(949\) −5.20516 11.3977i −0.168967 0.369986i
\(950\) 10.2786 + 11.8622i 0.333483 + 0.384860i
\(951\) −4.34381 30.2119i −0.140858 0.979687i
\(952\) 4.82069 + 1.41548i 0.156240 + 0.0458761i
\(953\) 16.8396 19.4339i 0.545488 0.629526i −0.414338 0.910123i \(-0.635987\pi\)
0.959826 + 0.280597i \(0.0905324\pi\)
\(954\) −1.09261 0.702177i −0.0353745 0.0227338i
\(955\) 1.38404 + 0.889468i 0.0447865 + 0.0287825i
\(956\) 6.14404 7.09060i 0.198713 0.229326i
\(957\) −30.1264 8.84590i −0.973848 0.285947i
\(958\) −0.196870 1.36926i −0.00636058 0.0442388i
\(959\) −6.37941 7.36223i −0.206002 0.237739i
\(960\) −0.247566 0.542095i −0.00799017 0.0174960i
\(961\) −20.3700 + 5.98116i −0.657095 + 0.192941i
\(962\) −18.3310 + 40.1394i −0.591016 + 1.29414i
\(963\) 0.292755 2.03616i 0.00943390 0.0656142i
\(964\) −25.7064 + 16.5205i −0.827948 + 0.532090i
\(965\) −2.66420 −0.0857636
\(966\) −3.67614 3.07993i −0.118278 0.0990952i
\(967\) −3.07208 −0.0987914 −0.0493957 0.998779i \(-0.515730\pi\)
−0.0493957 + 0.998779i \(0.515730\pi\)
\(968\) 11.4777 7.37624i 0.368906 0.237081i
\(969\) 2.41620 16.8050i 0.0776195 0.539856i
\(970\) −3.50465 + 7.67410i −0.112527 + 0.246401i
\(971\) 25.3960 7.45694i 0.814997 0.239305i 0.152436 0.988313i \(-0.451288\pi\)
0.662560 + 0.749009i \(0.269470\pi\)
\(972\) −0.415415 0.909632i −0.0133244 0.0291765i
\(973\) −12.9521 14.9475i −0.415225 0.479195i
\(974\) 3.21476 + 22.3591i 0.103007 + 0.716432i
\(975\) 24.5763 + 7.21626i 0.787072 + 0.231105i
\(976\) 6.67700 7.70567i 0.213726 0.246652i
\(977\) 51.3043 + 32.9713i 1.64137 + 1.05484i 0.939506 + 0.342533i \(0.111285\pi\)
0.701864 + 0.712311i \(0.252352\pi\)
\(978\) 16.2333 + 10.4325i 0.519084 + 0.333595i
\(979\) −55.1009 + 63.5899i −1.76103 + 2.03234i
\(980\) −0.571809 0.167898i −0.0182658 0.00536332i
\(981\) 1.36305 + 9.48023i 0.0435189 + 0.302680i
\(982\) −27.7542 32.0301i −0.885673 1.02212i
\(983\) 6.40071 + 14.0156i 0.204151 + 0.447028i 0.983819 0.179165i \(-0.0573395\pi\)
−0.779668 + 0.626193i \(0.784612\pi\)
\(984\) −7.38458 + 2.16831i −0.235412 + 0.0691231i
\(985\) 0.787658 1.72473i 0.0250969 0.0549545i
\(986\) 4.52243 31.4542i 0.144023 1.00170i
\(987\) 1.99445 1.28175i 0.0634840 0.0407987i
\(988\) −18.6346 −0.592844
\(989\) 43.6700 + 19.0728i 1.38862 + 0.606479i
\(990\) 2.95843 0.0940250
\(991\) 19.3821 12.4561i 0.615694 0.395683i −0.195294 0.980745i \(-0.562566\pi\)
0.810989 + 0.585062i \(0.198930\pi\)
\(992\) −1.02851 + 7.15347i −0.0326553 + 0.227123i
\(993\) 2.65147 5.80590i 0.0841417 0.184245i
\(994\) 8.39646 2.46542i 0.266320 0.0781985i
\(995\) −2.14701 4.70131i −0.0680649 0.149041i
\(996\) 3.09239 + 3.56881i 0.0979861 + 0.113082i
\(997\) −6.42252 44.6696i −0.203403 1.41470i −0.794091 0.607799i \(-0.792053\pi\)
0.590688 0.806900i \(-0.298857\pi\)
\(998\) −20.5767 6.04186i −0.651343 0.191252i
\(999\) 5.24022 6.04754i 0.165793 0.191336i
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.127.2 40
23.2 even 11 inner 966.2.q.j.715.2 yes 40
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
966.2.q.j.127.2 40 1.1 even 1 trivial
966.2.q.j.715.2 yes 40 23.2 even 11 inner