Properties

Label 966.2.s.b.97.6
Level $966$
Weight $2$
Character 966.97
Analytic conductor $7.714$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [966,2,Mod(97,966)]
 
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, 11, 1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("966.97");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 966.s (of order \(22\), 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: \(160\)
Relative dimension: \(16\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 97.6
Character \(\chi\) \(=\) 966.97
Dual form 966.2.s.b.727.6

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.959493 + 0.281733i) q^{2} +(-0.755750 - 0.654861i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.258147 - 1.79545i) q^{5} +(-0.540641 - 0.841254i) q^{6} +(-1.04979 + 2.42857i) q^{7} +(0.654861 + 0.755750i) q^{8} +(0.142315 + 0.989821i) q^{9} +O(q^{10})\) \(q+(0.959493 + 0.281733i) q^{2} +(-0.755750 - 0.654861i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.258147 - 1.79545i) q^{5} +(-0.540641 - 0.841254i) q^{6} +(-1.04979 + 2.42857i) q^{7} +(0.654861 + 0.755750i) q^{8} +(0.142315 + 0.989821i) q^{9} +(0.753527 - 1.64999i) q^{10} +(1.01802 + 3.46705i) q^{11} +(-0.281733 - 0.959493i) q^{12} +(0.727136 + 0.332072i) q^{13} +(-1.69148 + 2.03443i) q^{14} +(-1.37086 + 1.18786i) q^{15} +(0.415415 + 0.909632i) q^{16} +(4.28502 - 2.75382i) q^{17} +(-0.142315 + 0.989821i) q^{18} +(1.03115 + 0.662678i) q^{19} +(1.18786 - 1.37086i) q^{20} +(2.38375 - 1.14792i) q^{21} +3.61342i q^{22} +(2.55957 + 4.05569i) q^{23} -1.00000i q^{24} +(1.64046 + 0.481683i) q^{25} +(0.604126 + 0.523479i) q^{26} +(0.540641 - 0.841254i) q^{27} +(-2.19612 + 1.47548i) q^{28} +(-0.203731 + 0.130930i) q^{29} +(-1.64999 + 0.753527i) q^{30} +(-1.02003 + 0.883862i) q^{31} +(0.142315 + 0.989821i) q^{32} +(1.50107 - 3.28688i) q^{33} +(4.88729 - 1.43504i) q^{34} +(4.08937 + 2.51178i) q^{35} +(-0.415415 + 0.909632i) q^{36} +(4.10812 - 0.590659i) q^{37} +(0.802680 + 0.926342i) q^{38} +(-0.332072 - 0.727136i) q^{39} +(1.52596 - 0.980676i) q^{40} +(3.76604 + 0.541475i) q^{41} +(2.61060 - 0.429840i) q^{42} +(-4.06235 - 3.52004i) q^{43} +(-1.01802 + 3.46705i) q^{44} +1.81391 q^{45} +(1.31327 + 4.61252i) q^{46} -4.45073i q^{47} +(0.281733 - 0.959493i) q^{48} +(-4.79587 - 5.09898i) q^{49} +(1.43830 + 0.924342i) q^{50} +(-5.04177 - 0.724897i) q^{51} +(0.432174 + 0.672476i) q^{52} +(6.66155 - 3.04223i) q^{53} +(0.755750 - 0.654861i) q^{54} +(6.48771 - 0.932792i) q^{55} +(-2.52286 + 0.796992i) q^{56} +(-0.345327 - 1.17608i) q^{57} +(-0.232366 + 0.0682287i) q^{58} +(-0.508875 - 0.232395i) q^{59} +(-1.79545 + 0.258147i) q^{60} +(0.744132 + 0.858775i) q^{61} +(-1.22773 + 0.560684i) q^{62} +(-2.55325 - 0.693486i) q^{63} +(-0.142315 + 0.989821i) q^{64} +(0.783927 - 1.21981i) q^{65} +(2.36628 - 2.73084i) q^{66} +(-1.00831 + 3.43400i) q^{67} +5.09362 q^{68} +(0.721517 - 4.74125i) q^{69} +(3.21607 + 3.56214i) q^{70} +(14.0971 + 4.13929i) q^{71} +(-0.654861 + 0.755750i) q^{72} +(-2.92176 + 4.54634i) q^{73} +(4.10812 + 0.590659i) q^{74} +(-0.924342 - 1.43830i) q^{75} +(0.509185 + 1.11496i) q^{76} +(-9.48866 - 1.16736i) q^{77} +(-0.113763 - 0.791237i) q^{78} +(-6.40884 - 2.92682i) q^{79} +(1.74044 - 0.511039i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(3.46094 + 1.58056i) q^{82} +(1.57841 + 10.9781i) q^{83} +(2.62595 + 0.323063i) q^{84} +(-3.83818 - 8.40444i) q^{85} +(-2.90608 - 4.52195i) q^{86} +(0.239710 + 0.0344652i) q^{87} +(-1.95356 + 3.03980i) q^{88} +(-10.1575 + 11.7224i) q^{89} +(1.74044 + 0.511039i) q^{90} +(-1.56980 + 1.41729i) q^{91} +(-0.0394236 + 4.79567i) q^{92} +1.34969 q^{93} +(1.25391 - 4.27044i) q^{94} +(1.45599 - 1.68031i) q^{95} +(0.540641 - 0.841254i) q^{96} +(1.01525 - 7.06122i) q^{97} +(-3.16505 - 6.24359i) q^{98} +(-3.28688 + 1.50107i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160 q + 16 q^{2} - 16 q^{4} + 16 q^{8} + 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 160 q + 16 q^{2} - 16 q^{4} + 16 q^{8} + 16 q^{9} + 22 q^{14} - 16 q^{16} - 16 q^{18} - 52 q^{23} - 48 q^{25} + 22 q^{28} - 12 q^{29} + 16 q^{32} + 22 q^{35} + 16 q^{36} + 22 q^{37} - 4 q^{39} + 154 q^{43} + 8 q^{46} + 4 q^{50} + 22 q^{51} + 88 q^{53} + 22 q^{57} + 56 q^{58} - 16 q^{64} + 16 q^{71} - 16 q^{72} + 22 q^{74} - 72 q^{77} + 4 q^{78} + 88 q^{79} - 16 q^{81} - 22 q^{84} - 68 q^{85} - 44 q^{86} + 44 q^{88} - 8 q^{92} - 8 q^{93} - 66 q^{95} + 66 q^{98} - 66 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(323\) \(829\) \(925\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{1}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.959493 + 0.281733i 0.678464 + 0.199215i
\(3\) −0.755750 0.654861i −0.436332 0.378084i
\(4\) 0.841254 + 0.540641i 0.420627 + 0.270320i
\(5\) 0.258147 1.79545i 0.115447 0.802950i −0.847022 0.531558i \(-0.821607\pi\)
0.962469 0.271392i \(-0.0874841\pi\)
\(6\) −0.540641 0.841254i −0.220716 0.343440i
\(7\) −1.04979 + 2.42857i −0.396784 + 0.917912i
\(8\) 0.654861 + 0.755750i 0.231528 + 0.267198i
\(9\) 0.142315 + 0.989821i 0.0474383 + 0.329940i
\(10\) 0.753527 1.64999i 0.238286 0.521774i
\(11\) 1.01802 + 3.46705i 0.306944 + 1.04535i 0.958106 + 0.286415i \(0.0924637\pi\)
−0.651162 + 0.758939i \(0.725718\pi\)
\(12\) −0.281733 0.959493i −0.0813292 0.276982i
\(13\) 0.727136 + 0.332072i 0.201671 + 0.0921002i 0.513690 0.857976i \(-0.328278\pi\)
−0.312019 + 0.950076i \(0.601005\pi\)
\(14\) −1.69148 + 2.03443i −0.452066 + 0.543725i
\(15\) −1.37086 + 1.18786i −0.353956 + 0.306704i
\(16\) 0.415415 + 0.909632i 0.103854 + 0.227408i
\(17\) 4.28502 2.75382i 1.03927 0.667899i 0.0944643 0.995528i \(-0.469886\pi\)
0.944806 + 0.327630i \(0.106250\pi\)
\(18\) −0.142315 + 0.989821i −0.0335439 + 0.233303i
\(19\) 1.03115 + 0.662678i 0.236561 + 0.152029i 0.653551 0.756883i \(-0.273279\pi\)
−0.416990 + 0.908911i \(0.636915\pi\)
\(20\) 1.18786 1.37086i 0.265614 0.306535i
\(21\) 2.38375 1.14792i 0.520178 0.250497i
\(22\) 3.61342i 0.770383i
\(23\) 2.55957 + 4.05569i 0.533707 + 0.845669i
\(24\) 1.00000i 0.204124i
\(25\) 1.64046 + 0.481683i 0.328092 + 0.0963365i
\(26\) 0.604126 + 0.523479i 0.118479 + 0.102663i
\(27\) 0.540641 0.841254i 0.104046 0.161899i
\(28\) −2.19612 + 1.47548i −0.415028 + 0.278839i
\(29\) −0.203731 + 0.130930i −0.0378319 + 0.0243131i −0.559420 0.828884i \(-0.688976\pi\)
0.521588 + 0.853197i \(0.325340\pi\)
\(30\) −1.64999 + 0.753527i −0.301246 + 0.137575i
\(31\) −1.02003 + 0.883862i −0.183203 + 0.158746i −0.741634 0.670805i \(-0.765949\pi\)
0.558431 + 0.829551i \(0.311403\pi\)
\(32\) 0.142315 + 0.989821i 0.0251579 + 0.174977i
\(33\) 1.50107 3.28688i 0.261302 0.572172i
\(34\) 4.88729 1.43504i 0.838163 0.246107i
\(35\) 4.08937 + 2.51178i 0.691230 + 0.424568i
\(36\) −0.415415 + 0.909632i −0.0692358 + 0.151605i
\(37\) 4.10812 0.590659i 0.675371 0.0971037i 0.203909 0.978990i \(-0.434635\pi\)
0.471462 + 0.881886i \(0.343726\pi\)
\(38\) 0.802680 + 0.926342i 0.130212 + 0.150273i
\(39\) −0.332072 0.727136i −0.0531741 0.116435i
\(40\) 1.52596 0.980676i 0.241276 0.155058i
\(41\) 3.76604 + 0.541475i 0.588157 + 0.0845642i 0.429967 0.902845i \(-0.358525\pi\)
0.158190 + 0.987409i \(0.449434\pi\)
\(42\) 2.61060 0.429840i 0.402824 0.0663258i
\(43\) −4.06235 3.52004i −0.619502 0.536801i 0.287580 0.957757i \(-0.407149\pi\)
−0.907081 + 0.420955i \(0.861695\pi\)
\(44\) −1.01802 + 3.46705i −0.153472 + 0.522677i
\(45\) 1.81391 0.270402
\(46\) 1.31327 + 4.61252i 0.193631 + 0.680079i
\(47\) 4.45073i 0.649205i −0.945850 0.324603i \(-0.894769\pi\)
0.945850 0.324603i \(-0.105231\pi\)
\(48\) 0.281733 0.959493i 0.0406646 0.138491i
\(49\) −4.79587 5.09898i −0.685124 0.728426i
\(50\) 1.43830 + 0.924342i 0.203407 + 0.130722i
\(51\) −5.04177 0.724897i −0.705989 0.101506i
\(52\) 0.432174 + 0.672476i 0.0599318 + 0.0932556i
\(53\) 6.66155 3.04223i 0.915034 0.417882i 0.0984720 0.995140i \(-0.468604\pi\)
0.816562 + 0.577258i \(0.195877\pi\)
\(54\) 0.755750 0.654861i 0.102844 0.0891153i
\(55\) 6.48771 0.932792i 0.874803 0.125778i
\(56\) −2.52286 + 0.796992i −0.337131 + 0.106503i
\(57\) −0.345327 1.17608i −0.0457397 0.155775i
\(58\) −0.232366 + 0.0682287i −0.0305111 + 0.00895887i
\(59\) −0.508875 0.232395i −0.0662499 0.0302553i 0.382015 0.924156i \(-0.375230\pi\)
−0.448264 + 0.893901i \(0.647958\pi\)
\(60\) −1.79545 + 0.258147i −0.231792 + 0.0333266i
\(61\) 0.744132 + 0.858775i 0.0952764 + 0.109955i 0.801385 0.598148i \(-0.204097\pi\)
−0.706109 + 0.708103i \(0.749551\pi\)
\(62\) −1.22773 + 0.560684i −0.155921 + 0.0712069i
\(63\) −2.55325 0.693486i −0.321679 0.0873711i
\(64\) −0.142315 + 0.989821i −0.0177894 + 0.123728i
\(65\) 0.783927 1.21981i 0.0972341 0.151299i
\(66\) 2.36628 2.73084i 0.291270 0.336143i
\(67\) −1.00831 + 3.43400i −0.123185 + 0.419529i −0.997875 0.0651528i \(-0.979247\pi\)
0.874690 + 0.484682i \(0.161065\pi\)
\(68\) 5.09362 0.617692
\(69\) 0.721517 4.74125i 0.0868605 0.570779i
\(70\) 3.21607 + 3.56214i 0.384394 + 0.425758i
\(71\) 14.0971 + 4.13929i 1.67302 + 0.491243i 0.974508 0.224353i \(-0.0720269\pi\)
0.698514 + 0.715597i \(0.253845\pi\)
\(72\) −0.654861 + 0.755750i −0.0771761 + 0.0890659i
\(73\) −2.92176 + 4.54634i −0.341966 + 0.532109i −0.969057 0.246837i \(-0.920609\pi\)
0.627091 + 0.778946i \(0.284245\pi\)
\(74\) 4.10812 + 0.590659i 0.477559 + 0.0686627i
\(75\) −0.924342 1.43830i −0.106734 0.166081i
\(76\) 0.509185 + 1.11496i 0.0584075 + 0.127895i
\(77\) −9.48866 1.16736i −1.08133 0.133033i
\(78\) −0.113763 0.791237i −0.0128811 0.0895900i
\(79\) −6.40884 2.92682i −0.721051 0.329293i 0.0208684 0.999782i \(-0.493357\pi\)
−0.741919 + 0.670489i \(0.766084\pi\)
\(80\) 1.74044 0.511039i 0.194587 0.0571359i
\(81\) −0.959493 + 0.281733i −0.106610 + 0.0313036i
\(82\) 3.46094 + 1.58056i 0.382197 + 0.174543i
\(83\) 1.57841 + 10.9781i 0.173253 + 1.20500i 0.871953 + 0.489589i \(0.162853\pi\)
−0.698700 + 0.715415i \(0.746238\pi\)
\(84\) 2.62595 + 0.323063i 0.286515 + 0.0352490i
\(85\) −3.83818 8.40444i −0.416309 0.911589i
\(86\) −2.90608 4.52195i −0.313371 0.487614i
\(87\) 0.239710 + 0.0344652i 0.0256997 + 0.00369505i
\(88\) −1.95356 + 3.03980i −0.208250 + 0.324044i
\(89\) −10.1575 + 11.7224i −1.07669 + 1.24257i −0.108043 + 0.994146i \(0.534458\pi\)
−0.968651 + 0.248425i \(0.920087\pi\)
\(90\) 1.74044 + 0.511039i 0.183458 + 0.0538682i
\(91\) −1.56980 + 1.41729i −0.164560 + 0.148573i
\(92\) −0.0394236 + 4.79567i −0.00411019 + 0.499983i
\(93\) 1.34969 0.139957
\(94\) 1.25391 4.27044i 0.129331 0.440462i
\(95\) 1.45599 1.68031i 0.149382 0.172396i
\(96\) 0.540641 0.841254i 0.0551789 0.0858601i
\(97\) 1.01525 7.06122i 0.103083 0.716958i −0.871085 0.491133i \(-0.836583\pi\)
0.974168 0.225825i \(-0.0725079\pi\)
\(98\) −3.16505 6.24359i −0.319719 0.630698i
\(99\) −3.28688 + 1.50107i −0.330344 + 0.150863i
\(100\) 1.11963 + 1.29212i 0.111963 + 0.129212i
\(101\) −18.4208 + 2.64851i −1.83294 + 0.263537i −0.970234 0.242168i \(-0.922141\pi\)
−0.862706 + 0.505705i \(0.831232\pi\)
\(102\) −4.63332 2.11596i −0.458767 0.209512i
\(103\) −1.89060 + 0.555130i −0.186286 + 0.0546986i −0.373545 0.927612i \(-0.621858\pi\)
0.187259 + 0.982311i \(0.440040\pi\)
\(104\) 0.225210 + 0.766994i 0.0220836 + 0.0752099i
\(105\) −1.44568 4.57624i −0.141083 0.446596i
\(106\) 7.24880 1.04222i 0.704066 0.101229i
\(107\) −13.7413 + 11.9069i −1.32842 + 1.15108i −0.351805 + 0.936073i \(0.614432\pi\)
−0.976612 + 0.215007i \(0.931022\pi\)
\(108\) 0.909632 0.415415i 0.0875294 0.0399733i
\(109\) 0.0152559 + 0.0237386i 0.00146125 + 0.00227375i 0.841983 0.539503i \(-0.181388\pi\)
−0.840522 + 0.541777i \(0.817752\pi\)
\(110\) 6.48771 + 0.932792i 0.618579 + 0.0889383i
\(111\) −3.49151 2.24386i −0.331399 0.212978i
\(112\) −2.64520 + 0.0539378i −0.249948 + 0.00509664i
\(113\) 2.94088 10.0157i 0.276655 0.942199i −0.697551 0.716536i \(-0.745727\pi\)
0.974205 0.225664i \(-0.0724551\pi\)
\(114\) 1.22573i 0.114800i
\(115\) 7.94253 3.54862i 0.740645 0.330910i
\(116\) −0.242175 −0.0224854
\(117\) −0.225210 + 0.766994i −0.0208206 + 0.0709086i
\(118\) −0.422788 0.366348i −0.0389208 0.0337251i
\(119\) 2.18944 + 13.2974i 0.200706 + 1.21897i
\(120\) −1.79545 0.258147i −0.163902 0.0235655i
\(121\) −1.73027 + 1.11198i −0.157298 + 0.101089i
\(122\) 0.472045 + 1.03363i 0.0427369 + 0.0935809i
\(123\) −2.49159 2.87545i −0.224659 0.259271i
\(124\) −1.33596 + 0.192082i −0.119972 + 0.0172494i
\(125\) 5.05595 11.0710i 0.452218 0.990220i
\(126\) −2.25445 1.38473i −0.200842 0.123361i
\(127\) 1.13703 0.333862i 0.100895 0.0296255i −0.230895 0.972979i \(-0.574166\pi\)
0.331790 + 0.943353i \(0.392347\pi\)
\(128\) −0.415415 + 0.909632i −0.0367178 + 0.0804009i
\(129\) 0.764978 + 5.32054i 0.0673526 + 0.468447i
\(130\) 1.09583 0.949545i 0.0961110 0.0832806i
\(131\) −7.85943 + 3.58928i −0.686682 + 0.313597i −0.728028 0.685548i \(-0.759563\pi\)
0.0413457 + 0.999145i \(0.486835\pi\)
\(132\) 3.03980 1.95356i 0.264581 0.170036i
\(133\) −2.69185 + 1.80853i −0.233413 + 0.156820i
\(134\) −1.93494 + 3.01082i −0.167153 + 0.260095i
\(135\) −1.37086 1.18786i −0.117985 0.102235i
\(136\) 4.88729 + 1.43504i 0.419082 + 0.123053i
\(137\) 18.4767i 1.57857i 0.614025 + 0.789286i \(0.289549\pi\)
−0.614025 + 0.789286i \(0.710451\pi\)
\(138\) 2.02805 4.34592i 0.172639 0.369949i
\(139\) 17.3658i 1.47295i −0.676464 0.736476i \(-0.736488\pi\)
0.676464 0.736476i \(-0.263512\pi\)
\(140\) 2.08223 + 4.32392i 0.175980 + 0.365438i
\(141\) −2.91461 + 3.36363i −0.245454 + 0.283269i
\(142\) 12.3599 + 7.94324i 1.03722 + 0.666582i
\(143\) −0.411072 + 2.85907i −0.0343756 + 0.239087i
\(144\) −0.841254 + 0.540641i −0.0701045 + 0.0450534i
\(145\) 0.182486 + 0.399588i 0.0151546 + 0.0331840i
\(146\) −4.08426 + 3.53903i −0.338016 + 0.292892i
\(147\) 0.285353 + 6.99418i 0.0235355 + 0.576870i
\(148\) 3.77531 + 1.72412i 0.310328 + 0.141722i
\(149\) −0.858659 2.92432i −0.0703441 0.239570i 0.916814 0.399313i \(-0.130751\pi\)
−0.987159 + 0.159744i \(0.948933\pi\)
\(150\) −0.481683 1.64046i −0.0393292 0.133943i
\(151\) 7.95234 17.4132i 0.647152 1.41707i −0.246872 0.969048i \(-0.579403\pi\)
0.894025 0.448018i \(-0.147870\pi\)
\(152\) 0.174439 + 1.21325i 0.0141489 + 0.0984076i
\(153\) 3.33561 + 3.84950i 0.269668 + 0.311213i
\(154\) −8.77542 3.79334i −0.707144 0.305676i
\(155\) 1.32361 + 2.05958i 0.106315 + 0.165430i
\(156\) 0.113763 0.791237i 0.00910831 0.0633497i
\(157\) −14.4099 9.26070i −1.15004 0.739084i −0.180391 0.983595i \(-0.557736\pi\)
−0.969646 + 0.244511i \(0.921373\pi\)
\(158\) −5.32466 4.61384i −0.423607 0.367057i
\(159\) −7.02670 2.06322i −0.557253 0.163624i
\(160\) 1.81391 0.143403
\(161\) −12.5365 + 1.95845i −0.988017 + 0.154348i
\(162\) −1.00000 −0.0785674
\(163\) 1.29761 + 0.381011i 0.101636 + 0.0298431i 0.332155 0.943225i \(-0.392224\pi\)
−0.230519 + 0.973068i \(0.574042\pi\)
\(164\) 2.87545 + 2.49159i 0.224535 + 0.194561i
\(165\) −5.51394 3.54359i −0.429259 0.275868i
\(166\) −1.57841 + 10.9781i −0.122509 + 0.852066i
\(167\) −1.49398 2.32468i −0.115608 0.179889i 0.778628 0.627486i \(-0.215916\pi\)
−0.894235 + 0.447597i \(0.852280\pi\)
\(168\) 2.42857 + 1.04979i 0.187368 + 0.0809933i
\(169\) −8.09473 9.34182i −0.622672 0.718602i
\(170\) −1.31490 9.14534i −0.100848 0.701415i
\(171\) −0.509185 + 1.11496i −0.0389384 + 0.0852631i
\(172\) −1.51438 5.15752i −0.115471 0.393257i
\(173\) −1.95324 6.65214i −0.148502 0.505753i 0.851319 0.524648i \(-0.175803\pi\)
−0.999821 + 0.0188956i \(0.993985\pi\)
\(174\) 0.220291 + 0.100603i 0.0167002 + 0.00762672i
\(175\) −2.89194 + 3.47830i −0.218610 + 0.262935i
\(176\) −2.73084 + 2.36628i −0.205845 + 0.178365i
\(177\) 0.232395 + 0.508875i 0.0174679 + 0.0382494i
\(178\) −13.0486 + 8.38585i −0.978037 + 0.628546i
\(179\) 1.34156 9.33074i 0.100273 0.697412i −0.876228 0.481897i \(-0.839948\pi\)
0.976501 0.215515i \(-0.0691430\pi\)
\(180\) 1.52596 + 0.980676i 0.113738 + 0.0730953i
\(181\) 10.2718 11.8543i 0.763499 0.881124i −0.232305 0.972643i \(-0.574627\pi\)
0.995803 + 0.0915186i \(0.0291721\pi\)
\(182\) −1.90551 + 0.917617i −0.141246 + 0.0680183i
\(183\) 1.13632i 0.0839993i
\(184\) −1.38892 + 4.59030i −0.102393 + 0.338402i
\(185\) 7.52841i 0.553500i
\(186\) 1.29502 + 0.380253i 0.0949557 + 0.0278815i
\(187\) 13.9098 + 12.0529i 1.01719 + 0.881399i
\(188\) 2.40624 3.74419i 0.175493 0.273073i
\(189\) 1.47548 + 2.19612i 0.107325 + 0.159745i
\(190\) 1.87041 1.20204i 0.135694 0.0872052i
\(191\) −1.69296 + 0.773148i −0.122498 + 0.0559430i −0.475721 0.879596i \(-0.657813\pi\)
0.353223 + 0.935539i \(0.385086\pi\)
\(192\) 0.755750 0.654861i 0.0545415 0.0472605i
\(193\) −0.675520 4.69835i −0.0486250 0.338194i −0.999583 0.0288745i \(-0.990808\pi\)
0.950958 0.309320i \(-0.100101\pi\)
\(194\) 2.96350 6.48916i 0.212767 0.465895i
\(195\) −1.39126 + 0.408511i −0.0996302 + 0.0292541i
\(196\) −1.27782 6.88238i −0.0912731 0.491599i
\(197\) 7.18343 15.7295i 0.511798 1.12068i −0.460654 0.887580i \(-0.652385\pi\)
0.972452 0.233102i \(-0.0748875\pi\)
\(198\) −3.57664 + 0.514243i −0.254181 + 0.0365456i
\(199\) 5.96775 + 6.88715i 0.423043 + 0.488217i 0.926761 0.375650i \(-0.122581\pi\)
−0.503719 + 0.863868i \(0.668035\pi\)
\(200\) 0.710242 + 1.55521i 0.0502217 + 0.109970i
\(201\) 3.01082 1.93494i 0.212367 0.136480i
\(202\) −18.4208 2.64851i −1.29608 0.186349i
\(203\) −0.104097 0.632224i −0.00730616 0.0443734i
\(204\) −3.84950 3.33561i −0.269519 0.233539i
\(205\) 1.94438 6.62196i 0.135802 0.462498i
\(206\) −1.97042 −0.137285
\(207\) −3.65014 + 3.11070i −0.253702 + 0.216209i
\(208\) 0.799374i 0.0554266i
\(209\) −1.24781 + 4.24965i −0.0863129 + 0.293955i
\(210\) −0.0978385 4.79817i −0.00675150 0.331105i
\(211\) −19.4369 12.4913i −1.33809 0.859939i −0.341297 0.939955i \(-0.610866\pi\)
−0.996794 + 0.0800168i \(0.974503\pi\)
\(212\) 7.24880 + 1.04222i 0.497850 + 0.0715800i
\(213\) −7.94324 12.3599i −0.544262 0.846888i
\(214\) −16.5392 + 7.55320i −1.13060 + 0.516326i
\(215\) −7.36875 + 6.38505i −0.502544 + 0.435457i
\(216\) 0.989821 0.142315i 0.0673488 0.00968330i
\(217\) −1.07570 3.40509i −0.0730230 0.231152i
\(218\) 0.00794996 + 0.0270751i 0.000538440 + 0.00183376i
\(219\) 5.18534 1.52255i 0.350393 0.102885i
\(220\) 5.96212 + 2.72281i 0.401966 + 0.183572i
\(221\) 4.03026 0.579464i 0.271105 0.0389789i
\(222\) −2.71791 3.13664i −0.182414 0.210517i
\(223\) 4.42454 2.02062i 0.296289 0.135311i −0.261724 0.965143i \(-0.584291\pi\)
0.558013 + 0.829832i \(0.311564\pi\)
\(224\) −2.55325 0.693486i −0.170596 0.0463355i
\(225\) −0.243318 + 1.69231i −0.0162212 + 0.112821i
\(226\) 5.64351 8.78147i 0.375400 0.584134i
\(227\) 2.21861 2.56041i 0.147254 0.169940i −0.677331 0.735679i \(-0.736863\pi\)
0.824585 + 0.565738i \(0.191409\pi\)
\(228\) 0.345327 1.17608i 0.0228698 0.0778875i
\(229\) −28.0765 −1.85535 −0.927673 0.373393i \(-0.878194\pi\)
−0.927673 + 0.373393i \(0.878194\pi\)
\(230\) 8.62057 1.16720i 0.568423 0.0769632i
\(231\) 6.40660 + 7.09599i 0.421523 + 0.466882i
\(232\) −0.232366 0.0682287i −0.0152556 0.00447943i
\(233\) 6.69815 7.73008i 0.438811 0.506414i −0.492665 0.870219i \(-0.663977\pi\)
0.931475 + 0.363805i \(0.118522\pi\)
\(234\) −0.432174 + 0.672476i −0.0282521 + 0.0439611i
\(235\) −7.99106 1.14894i −0.521279 0.0749487i
\(236\) −0.302450 0.470622i −0.0196878 0.0306349i
\(237\) 2.92682 + 6.40884i 0.190117 + 0.416299i
\(238\) −1.64556 + 13.3756i −0.106666 + 0.867011i
\(239\) −0.834861 5.80659i −0.0540027 0.375597i −0.998844 0.0480686i \(-0.984693\pi\)
0.944841 0.327528i \(-0.106216\pi\)
\(240\) −1.64999 0.753527i −0.106507 0.0486400i
\(241\) 4.31621 1.26735i 0.278031 0.0816374i −0.139744 0.990188i \(-0.544628\pi\)
0.417776 + 0.908550i \(0.362810\pi\)
\(242\) −1.97347 + 0.579462i −0.126859 + 0.0372492i
\(243\) 0.909632 + 0.415415i 0.0583529 + 0.0266489i
\(244\) 0.161715 + 1.12476i 0.0103528 + 0.0720051i
\(245\) −10.3930 + 7.29446i −0.663985 + 0.466026i
\(246\) −1.58056 3.46094i −0.100773 0.220661i
\(247\) 0.529727 + 0.824272i 0.0337057 + 0.0524472i
\(248\) −1.33596 0.192082i −0.0848334 0.0121972i
\(249\) 5.99624 9.33034i 0.379997 0.591286i
\(250\) 7.97021 9.19811i 0.504080 0.581740i
\(251\) 18.2547 + 5.36006i 1.15223 + 0.338324i 0.801407 0.598119i \(-0.204085\pi\)
0.350819 + 0.936443i \(0.385903\pi\)
\(252\) −1.77300 1.96379i −0.111689 0.123707i
\(253\) −11.4556 + 13.0029i −0.720206 + 0.817486i
\(254\) 1.18503 0.0743555
\(255\) −2.60303 + 8.86512i −0.163008 + 0.555155i
\(256\) −0.654861 + 0.755750i −0.0409288 + 0.0472343i
\(257\) −7.99031 + 12.4332i −0.498422 + 0.775560i −0.995759 0.0919975i \(-0.970675\pi\)
0.497337 + 0.867557i \(0.334311\pi\)
\(258\) −0.764978 + 5.32054i −0.0476255 + 0.331242i
\(259\) −2.87822 + 10.5969i −0.178844 + 0.658460i
\(260\) 1.31896 0.602350i 0.0817986 0.0373562i
\(261\) −0.158591 0.183024i −0.00981655 0.0113289i
\(262\) −8.55229 + 1.22963i −0.528362 + 0.0759670i
\(263\) 21.4545 + 9.79793i 1.32294 + 0.604166i 0.946628 0.322327i \(-0.104465\pi\)
0.376311 + 0.926493i \(0.377192\pi\)
\(264\) 3.46705 1.01802i 0.213382 0.0626546i
\(265\) −3.74251 12.7458i −0.229901 0.782970i
\(266\) −3.09233 + 0.976895i −0.189603 + 0.0598972i
\(267\) 15.3531 2.20744i 0.939592 0.135093i
\(268\) −2.70480 + 2.34373i −0.165222 + 0.143166i
\(269\) −21.4802 + 9.80968i −1.30967 + 0.598107i −0.943170 0.332311i \(-0.892172\pi\)
−0.366501 + 0.930418i \(0.619445\pi\)
\(270\) −0.980676 1.52596i −0.0596820 0.0928671i
\(271\) −4.30172 0.618494i −0.261311 0.0375709i 0.0104140 0.999946i \(-0.496685\pi\)
−0.271725 + 0.962375i \(0.587594\pi\)
\(272\) 4.28502 + 2.75382i 0.259818 + 0.166975i
\(273\) 2.11450 0.0431165i 0.127976 0.00260953i
\(274\) −5.20549 + 17.7283i −0.314475 + 1.07100i
\(275\) 6.17792i 0.372542i
\(276\) 3.17029 3.59851i 0.190829 0.216605i
\(277\) −10.6852 −0.642012 −0.321006 0.947077i \(-0.604021\pi\)
−0.321006 + 0.947077i \(0.604021\pi\)
\(278\) 4.89252 16.6624i 0.293434 0.999345i
\(279\) −1.02003 0.883862i −0.0610677 0.0529154i
\(280\) 0.779693 + 4.73541i 0.0465956 + 0.282995i
\(281\) 13.1678 + 1.89324i 0.785525 + 0.112941i 0.523394 0.852091i \(-0.324666\pi\)
0.262131 + 0.965032i \(0.415575\pi\)
\(282\) −3.74419 + 2.40624i −0.222963 + 0.143290i
\(283\) 1.46060 + 3.19827i 0.0868238 + 0.190118i 0.948063 0.318082i \(-0.103039\pi\)
−0.861240 + 0.508199i \(0.830311\pi\)
\(284\) 9.62139 + 11.1037i 0.570925 + 0.658882i
\(285\) −2.20073 + 0.316417i −0.130360 + 0.0187430i
\(286\) −1.19991 + 2.62745i −0.0709524 + 0.155364i
\(287\) −5.26857 + 8.57764i −0.310994 + 0.506322i
\(288\) −0.959493 + 0.281733i −0.0565387 + 0.0166013i
\(289\) 3.71585 8.13658i 0.218580 0.478623i
\(290\) 0.0625168 + 0.434814i 0.00367112 + 0.0255332i
\(291\) −5.39139 + 4.67166i −0.316049 + 0.273858i
\(292\) −4.91588 + 2.24501i −0.287680 + 0.131379i
\(293\) 19.1069 12.2792i 1.11624 0.717361i 0.153592 0.988134i \(-0.450916\pi\)
0.962643 + 0.270773i \(0.0872794\pi\)
\(294\) −1.69669 + 6.79126i −0.0989532 + 0.396074i
\(295\) −0.548619 + 0.853668i −0.0319418 + 0.0497025i
\(296\) 3.13664 + 2.71791i 0.182313 + 0.157975i
\(297\) 3.46705 + 1.01802i 0.201179 + 0.0590713i
\(298\) 3.04778i 0.176553i
\(299\) 0.514375 + 3.79900i 0.0297471 + 0.219702i
\(300\) 1.70972i 0.0987105i
\(301\) 12.8133 6.17036i 0.738545 0.355654i
\(302\) 12.5361 14.4674i 0.721370 0.832506i
\(303\) 15.6559 + 10.0615i 0.899410 + 0.578016i
\(304\) −0.174439 + 1.21325i −0.0100048 + 0.0695847i
\(305\) 1.73398 1.11436i 0.0992876 0.0638083i
\(306\) 2.11596 + 4.63332i 0.120962 + 0.264869i
\(307\) 14.5699 12.6249i 0.831549 0.720541i −0.131078 0.991372i \(-0.541844\pi\)
0.962627 + 0.270831i \(0.0872983\pi\)
\(308\) −7.35125 6.11200i −0.418876 0.348264i
\(309\) 1.79235 + 0.818540i 0.101963 + 0.0465651i
\(310\) 0.689746 + 2.34906i 0.0391750 + 0.133418i
\(311\) 1.28000 + 4.35928i 0.0725822 + 0.247192i 0.987790 0.155789i \(-0.0497921\pi\)
−0.915208 + 0.402981i \(0.867974\pi\)
\(312\) 0.332072 0.727136i 0.0187999 0.0411660i
\(313\) 1.76387 + 12.2680i 0.0996997 + 0.693427i 0.976962 + 0.213415i \(0.0684586\pi\)
−0.877262 + 0.480012i \(0.840632\pi\)
\(314\) −11.2172 12.9453i −0.633022 0.730546i
\(315\) −1.90423 + 4.40521i −0.107291 + 0.248206i
\(316\) −3.80910 5.92708i −0.214279 0.333424i
\(317\) −1.22404 + 8.51339i −0.0687489 + 0.478159i 0.926140 + 0.377181i \(0.123106\pi\)
−0.994889 + 0.100979i \(0.967803\pi\)
\(318\) −6.16079 3.95930i −0.345480 0.222026i
\(319\) −0.661342 0.573056i −0.0370280 0.0320850i
\(320\) 1.74044 + 0.511039i 0.0972934 + 0.0285679i
\(321\) 18.1823 1.01484
\(322\) −12.5805 1.65283i −0.701082 0.0921084i
\(323\) 6.24338 0.347391
\(324\) −0.959493 0.281733i −0.0533052 0.0156518i
\(325\) 1.03288 + 0.894999i 0.0572941 + 0.0496456i
\(326\) 1.13770 + 0.731155i 0.0630114 + 0.0404949i
\(327\) 0.00401586 0.0279309i 0.000222077 0.00154458i
\(328\) 2.05701 + 3.20077i 0.113580 + 0.176733i
\(329\) 10.8089 + 4.67234i 0.595913 + 0.257594i
\(330\) −4.29224 4.95351i −0.236280 0.272682i
\(331\) −0.148620 1.03367i −0.00816889 0.0568159i 0.985329 0.170664i \(-0.0545913\pi\)
−0.993498 + 0.113848i \(0.963682\pi\)
\(332\) −4.60737 + 10.0887i −0.252862 + 0.553691i
\(333\) 1.16929 + 3.98225i 0.0640769 + 0.218226i
\(334\) −0.778526 2.65142i −0.0425991 0.145079i
\(335\) 5.90528 + 2.69685i 0.322640 + 0.147345i
\(336\) 2.03443 + 1.69148i 0.110987 + 0.0922775i
\(337\) −19.2022 + 16.6388i −1.04601 + 0.906373i −0.995726 0.0923616i \(-0.970558\pi\)
−0.0502850 + 0.998735i \(0.516013\pi\)
\(338\) −5.13495 11.2440i −0.279304 0.611591i
\(339\) −8.78147 + 5.64351i −0.476944 + 0.306513i
\(340\) 1.31490 9.14534i 0.0713105 0.495976i
\(341\) −4.10280 2.63671i −0.222179 0.142786i
\(342\) −0.802680 + 0.926342i −0.0434040 + 0.0500909i
\(343\) 17.4179 6.29421i 0.940478 0.339856i
\(344\) 5.37525i 0.289814i
\(345\) −8.32642 2.51939i −0.448279 0.135639i
\(346\) 6.93297i 0.372719i
\(347\) −9.17483 2.69397i −0.492530 0.144620i 0.0260296 0.999661i \(-0.491714\pi\)
−0.518560 + 0.855041i \(0.673532\pi\)
\(348\) 0.183024 + 0.158591i 0.00981112 + 0.00850138i
\(349\) 9.59815 14.9350i 0.513777 0.799453i −0.483332 0.875437i \(-0.660574\pi\)
0.997109 + 0.0759846i \(0.0242100\pi\)
\(350\) −3.75475 + 2.52265i −0.200700 + 0.134841i
\(351\) 0.672476 0.432174i 0.0358941 0.0230677i
\(352\) −3.28688 + 1.50107i −0.175191 + 0.0800072i
\(353\) 6.40030 5.54589i 0.340653 0.295178i −0.467686 0.883895i \(-0.654912\pi\)
0.808339 + 0.588717i \(0.200367\pi\)
\(354\) 0.0796151 + 0.553735i 0.00423149 + 0.0294307i
\(355\) 11.0710 24.2422i 0.587589 1.28664i
\(356\) −14.8826 + 4.36994i −0.788779 + 0.231606i
\(357\) 7.05327 11.4833i 0.373299 0.607760i
\(358\) 3.91599 8.57482i 0.206966 0.453193i
\(359\) −23.2445 + 3.34206i −1.22680 + 0.176387i −0.725093 0.688651i \(-0.758203\pi\)
−0.501707 + 0.865038i \(0.667294\pi\)
\(360\) 1.18786 + 1.37086i 0.0626058 + 0.0722509i
\(361\) −7.26876 15.9164i −0.382567 0.837704i
\(362\) 13.1955 8.48023i 0.693540 0.445711i
\(363\) 2.03585 + 0.292711i 0.106854 + 0.0153633i
\(364\) −2.08685 + 0.343603i −0.109380 + 0.0180097i
\(365\) 7.40849 + 6.41949i 0.387778 + 0.336012i
\(366\) 0.320139 1.09029i 0.0167339 0.0569905i
\(367\) 2.14430 0.111932 0.0559658 0.998433i \(-0.482176\pi\)
0.0559658 + 0.998433i \(0.482176\pi\)
\(368\) −2.62590 + 4.01306i −0.136884 + 0.209195i
\(369\) 3.80477i 0.198068i
\(370\) 2.12100 7.22345i 0.110265 0.375530i
\(371\) 0.395005 + 19.3717i 0.0205076 + 1.00573i
\(372\) 1.13544 + 0.729700i 0.0588696 + 0.0378332i
\(373\) 20.3814 + 2.93041i 1.05531 + 0.151731i 0.648063 0.761587i \(-0.275580\pi\)
0.407248 + 0.913318i \(0.366489\pi\)
\(374\) 9.95069 + 15.4836i 0.514538 + 0.800636i
\(375\) −11.0710 + 5.05595i −0.571704 + 0.261088i
\(376\) 3.36363 2.91461i 0.173466 0.150309i
\(377\) −0.191618 + 0.0275505i −0.00986884 + 0.00141893i
\(378\) 0.796992 + 2.52286i 0.0409929 + 0.129762i
\(379\) −2.88104 9.81191i −0.147989 0.504004i 0.851814 0.523844i \(-0.175502\pi\)
−0.999803 + 0.0198400i \(0.993684\pi\)
\(380\) 2.13330 0.626394i 0.109436 0.0321333i
\(381\) −1.07794 0.492280i −0.0552247 0.0252203i
\(382\) −1.84220 + 0.264869i −0.0942553 + 0.0135519i
\(383\) 11.7459 + 13.5555i 0.600189 + 0.692655i 0.971820 0.235726i \(-0.0757467\pi\)
−0.371631 + 0.928381i \(0.621201\pi\)
\(384\) 0.909632 0.415415i 0.0464195 0.0211991i
\(385\) −4.54541 + 16.7351i −0.231655 + 0.852899i
\(386\) 0.675520 4.69835i 0.0343831 0.239140i
\(387\) 2.90608 4.52195i 0.147724 0.229864i
\(388\) 4.67166 5.39139i 0.237168 0.273706i
\(389\) 2.88578 9.82808i 0.146315 0.498303i −0.853422 0.521220i \(-0.825477\pi\)
0.999737 + 0.0229168i \(0.00729528\pi\)
\(390\) −1.45000 −0.0734234
\(391\) 22.1364 + 10.3301i 1.11949 + 0.522417i
\(392\) 0.712928 6.96360i 0.0360083 0.351715i
\(393\) 8.29024 + 2.43424i 0.418188 + 0.122791i
\(394\) 11.3240 13.0686i 0.570493 0.658384i
\(395\) −6.90938 + 10.7512i −0.347649 + 0.540952i
\(396\) −3.57664 0.514243i −0.179733 0.0258417i
\(397\) 9.18607 + 14.2938i 0.461036 + 0.717385i 0.991469 0.130341i \(-0.0416072\pi\)
−0.530434 + 0.847727i \(0.677971\pi\)
\(398\) 3.78568 + 8.28949i 0.189759 + 0.415514i
\(399\) 3.21870 + 0.395986i 0.161137 + 0.0198241i
\(400\) 0.243318 + 1.69231i 0.0121659 + 0.0846157i
\(401\) 10.9338 + 4.99332i 0.546010 + 0.249354i 0.669269 0.743020i \(-0.266607\pi\)
−0.123259 + 0.992375i \(0.539335\pi\)
\(402\) 3.43400 1.00831i 0.171272 0.0502900i
\(403\) −1.03521 + 0.303964i −0.0515673 + 0.0151415i
\(404\) −16.9285 7.73098i −0.842223 0.384631i
\(405\) 0.258147 + 1.79545i 0.0128274 + 0.0892167i
\(406\) 0.0782378 0.635941i 0.00388288 0.0315612i
\(407\) 6.22998 + 13.6418i 0.308809 + 0.676197i
\(408\) −2.75382 4.28502i −0.136334 0.212140i
\(409\) −29.4986 4.24126i −1.45861 0.209717i −0.633087 0.774081i \(-0.718213\pi\)
−0.825526 + 0.564364i \(0.809122\pi\)
\(410\) 3.73124 5.80593i 0.184273 0.286734i
\(411\) 12.0997 13.9638i 0.596833 0.688782i
\(412\) −1.89060 0.555130i −0.0931432 0.0273493i
\(413\) 1.09860 0.991869i 0.0540586 0.0488067i
\(414\) −4.37867 + 1.95633i −0.215200 + 0.0961485i
\(415\) 20.1181 0.987559
\(416\) −0.225210 + 0.766994i −0.0110418 + 0.0376050i
\(417\) −11.3722 + 13.1242i −0.556900 + 0.642696i
\(418\) −2.39453 + 3.72596i −0.117120 + 0.182243i
\(419\) 3.76364 26.1767i 0.183866 1.27882i −0.663649 0.748044i \(-0.730993\pi\)
0.847515 0.530772i \(-0.178098\pi\)
\(420\) 1.25792 4.63137i 0.0613804 0.225988i
\(421\) −19.7412 + 9.01552i −0.962129 + 0.439389i −0.833632 0.552320i \(-0.813742\pi\)
−0.128497 + 0.991710i \(0.541015\pi\)
\(422\) −15.1303 17.4613i −0.736534 0.850005i
\(423\) 4.40542 0.633404i 0.214199 0.0307972i
\(424\) 6.66155 + 3.04223i 0.323513 + 0.147744i
\(425\) 8.35587 2.45351i 0.405319 0.119013i
\(426\) −4.13929 14.0971i −0.200549 0.683008i
\(427\) −2.86678 + 0.905640i −0.138733 + 0.0438270i
\(428\) −17.9972 + 2.58761i −0.869929 + 0.125077i
\(429\) 2.18296 1.89155i 0.105394 0.0913247i
\(430\) −8.86914 + 4.05040i −0.427708 + 0.195328i
\(431\) −1.42033 2.21008i −0.0684148 0.106456i 0.805361 0.592785i \(-0.201972\pi\)
−0.873775 + 0.486330i \(0.838335\pi\)
\(432\) 0.989821 + 0.142315i 0.0476228 + 0.00684713i
\(433\) 2.43753 + 1.56650i 0.117140 + 0.0752814i 0.597899 0.801571i \(-0.296002\pi\)
−0.480759 + 0.876853i \(0.659639\pi\)
\(434\) −0.0727996 3.57021i −0.00349449 0.171376i
\(435\) 0.123761 0.421491i 0.00593389 0.0202090i
\(436\) 0.0282181i 0.00135140i
\(437\) −0.0483225 + 5.87818i −0.00231158 + 0.281191i
\(438\) 5.40425 0.258225
\(439\) 7.17948 24.4511i 0.342658 1.16699i −0.590356 0.807143i \(-0.701012\pi\)
0.933013 0.359842i \(-0.117169\pi\)
\(440\) 4.95351 + 4.29224i 0.236149 + 0.204624i
\(441\) 4.36456 5.47272i 0.207836 0.260606i
\(442\) 4.03026 + 0.579464i 0.191700 + 0.0275623i
\(443\) −31.0112 + 19.9297i −1.47339 + 0.946888i −0.475650 + 0.879634i \(0.657787\pi\)
−0.997736 + 0.0672533i \(0.978576\pi\)
\(444\) −1.72412 3.77531i −0.0818233 0.179168i
\(445\) 18.4249 + 21.2634i 0.873422 + 1.00798i
\(446\) 4.81459 0.692233i 0.227977 0.0327782i
\(447\) −1.26609 + 2.77236i −0.0598842 + 0.131128i
\(448\) −2.25445 1.38473i −0.106513 0.0654223i
\(449\) 19.9608 5.86102i 0.942008 0.276598i 0.225552 0.974231i \(-0.427581\pi\)
0.716456 + 0.697633i \(0.245763\pi\)
\(450\) −0.710242 + 1.55521i −0.0334811 + 0.0733134i
\(451\) 1.95657 + 13.6083i 0.0921315 + 0.640789i
\(452\) 7.88893 6.83580i 0.371064 0.321529i
\(453\) −17.4132 + 7.95234i −0.818143 + 0.373634i
\(454\) 2.85009 1.83164i 0.133761 0.0859632i
\(455\) 2.13944 + 3.18437i 0.100298 + 0.149286i
\(456\) 0.662678 1.03115i 0.0310327 0.0482879i
\(457\) 7.65856 + 6.63618i 0.358252 + 0.310427i 0.815327 0.579001i \(-0.196557\pi\)
−0.457075 + 0.889428i \(0.651103\pi\)
\(458\) −26.9392 7.91006i −1.25879 0.369613i
\(459\) 5.09362i 0.237750i
\(460\) 8.60021 + 1.30877i 0.400987 + 0.0610217i
\(461\) 40.8200i 1.90118i −0.310451 0.950589i \(-0.600480\pi\)
0.310451 0.950589i \(-0.399520\pi\)
\(462\) 4.14791 + 8.61349i 0.192978 + 0.400736i
\(463\) −18.3475 + 21.1741i −0.852680 + 0.984045i −0.999987 0.00504536i \(-0.998394\pi\)
0.147307 + 0.989091i \(0.452939\pi\)
\(464\) −0.203731 0.130930i −0.00945797 0.00607827i
\(465\) 0.348420 2.42331i 0.0161576 0.112378i
\(466\) 8.60465 5.52987i 0.398603 0.256166i
\(467\) 5.31841 + 11.6457i 0.246107 + 0.538899i 0.991861 0.127322i \(-0.0406382\pi\)
−0.745755 + 0.666221i \(0.767911\pi\)
\(468\) −0.604126 + 0.523479i −0.0279258 + 0.0241978i
\(469\) −7.28117 6.05374i −0.336213 0.279536i
\(470\) −7.34367 3.35374i −0.338738 0.154697i
\(471\) 4.82583 + 16.4353i 0.222362 + 0.757297i
\(472\) −0.157609 0.536769i −0.00725456 0.0247068i
\(473\) 8.06862 17.6678i 0.370995 0.812367i
\(474\) 1.00268 + 6.97382i 0.0460548 + 0.320318i
\(475\) 1.37235 + 1.58378i 0.0629680 + 0.0726689i
\(476\) −5.34724 + 12.3702i −0.245090 + 0.566986i
\(477\) 3.95930 + 6.16079i 0.181284 + 0.282083i
\(478\) 0.834861 5.80659i 0.0381857 0.265587i
\(479\) −9.18266 5.90134i −0.419566 0.269639i 0.313778 0.949496i \(-0.398405\pi\)
−0.733344 + 0.679857i \(0.762042\pi\)
\(480\) −1.37086 1.18786i −0.0625711 0.0542182i
\(481\) 3.18330 + 0.934702i 0.145146 + 0.0426188i
\(482\) 4.49842 0.204898
\(483\) 10.7570 + 6.72958i 0.489460 + 0.306206i
\(484\) −2.05678 −0.0934901
\(485\) −12.4160 3.64566i −0.563781 0.165541i
\(486\) 0.755750 + 0.654861i 0.0342815 + 0.0297051i
\(487\) −26.5629 17.0710i −1.20368 0.773559i −0.224092 0.974568i \(-0.571942\pi\)
−0.979589 + 0.201009i \(0.935578\pi\)
\(488\) −0.161715 + 1.12476i −0.00732051 + 0.0509153i
\(489\) −0.731155 1.13770i −0.0330640 0.0514486i
\(490\) −12.0271 + 4.07094i −0.543330 + 0.183906i
\(491\) 1.58250 + 1.82630i 0.0714173 + 0.0824199i 0.790334 0.612676i \(-0.209907\pi\)
−0.718917 + 0.695096i \(0.755362\pi\)
\(492\) −0.541475 3.76604i −0.0244116 0.169786i
\(493\) −0.512435 + 1.12208i −0.0230789 + 0.0505357i
\(494\) 0.276045 + 0.940124i 0.0124199 + 0.0422982i
\(495\) 1.84660 + 6.28893i 0.0829983 + 0.282666i
\(496\) −1.22773 0.560684i −0.0551265 0.0251754i
\(497\) −24.8516 + 29.8904i −1.11475 + 1.34077i
\(498\) 8.38201 7.26306i 0.375607 0.325465i
\(499\) −5.96675 13.0654i −0.267108 0.584886i 0.727786 0.685804i \(-0.240549\pi\)
−0.994895 + 0.100918i \(0.967822\pi\)
\(500\) 10.2388 6.58006i 0.457892 0.294269i
\(501\) −0.393266 + 2.73522i −0.0175698 + 0.122201i
\(502\) 16.0051 + 10.2859i 0.714344 + 0.459081i
\(503\) 14.9167 17.2148i 0.665102 0.767569i −0.318500 0.947923i \(-0.603179\pi\)
0.983602 + 0.180354i \(0.0577244\pi\)
\(504\) −1.14792 2.38375i −0.0511324 0.106181i
\(505\) 33.7574i 1.50218i
\(506\) −14.6549 + 9.24879i −0.651489 + 0.411159i
\(507\) 12.3610i 0.548971i
\(508\) 1.13703 + 0.333862i 0.0504475 + 0.0148127i
\(509\) −9.07519 7.86369i −0.402251 0.348552i 0.430120 0.902772i \(-0.358471\pi\)
−0.832370 + 0.554220i \(0.813017\pi\)
\(510\) −4.99519 + 7.77266i −0.221191 + 0.344179i
\(511\) −7.97385 11.8684i −0.352743 0.525027i
\(512\) −0.841254 + 0.540641i −0.0371785 + 0.0238932i
\(513\) 1.11496 0.509185i 0.0492267 0.0224811i
\(514\) −11.1695 + 9.67841i −0.492665 + 0.426896i
\(515\) 0.508657 + 3.53779i 0.0224141 + 0.155893i
\(516\) −2.23296 + 4.88950i −0.0983006 + 0.215248i
\(517\) 15.4309 4.53092i 0.678649 0.199269i
\(518\) −5.74713 + 9.35678i −0.252514 + 0.411113i
\(519\) −2.88006 + 6.30645i −0.126421 + 0.276823i
\(520\) 1.43524 0.206356i 0.0629393 0.00904930i
\(521\) 10.5743 + 12.2034i 0.463267 + 0.534639i 0.938527 0.345207i \(-0.112191\pi\)
−0.475259 + 0.879846i \(0.657646\pi\)
\(522\) −0.100603 0.220291i −0.00440329 0.00964186i
\(523\) −32.7141 + 21.0241i −1.43049 + 0.919319i −0.430629 + 0.902529i \(0.641708\pi\)
−0.999859 + 0.0167901i \(0.994655\pi\)
\(524\) −8.55229 1.22963i −0.373609 0.0537168i
\(525\) 4.46339 0.734905i 0.194798 0.0320739i
\(526\) 17.8250 + 15.4455i 0.777208 + 0.673455i
\(527\) −1.93686 + 6.59635i −0.0843711 + 0.287341i
\(528\) 3.61342 0.157254
\(529\) −9.89721 + 20.7616i −0.430313 + 0.902680i
\(530\) 13.2839i 0.577016i
\(531\) 0.157609 0.536769i 0.00683967 0.0232938i
\(532\) −3.24229 + 0.0661130i −0.140571 + 0.00286636i
\(533\) 2.55861 + 1.64432i 0.110826 + 0.0712235i
\(534\) 15.3531 + 2.20744i 0.664392 + 0.0955252i
\(535\) 17.8309 + 27.7455i 0.770899 + 1.19954i
\(536\) −3.25554 + 1.48676i −0.140618 + 0.0642181i
\(537\) −7.12422 + 6.17317i −0.307433 + 0.266392i
\(538\) −23.3738 + 3.36065i −1.00772 + 0.144888i
\(539\) 12.7961 21.8184i 0.551169 0.939783i
\(540\) −0.511039 1.74044i −0.0219916 0.0748965i
\(541\) 34.4490 10.1151i 1.48108 0.434883i 0.561395 0.827548i \(-0.310265\pi\)
0.919682 + 0.392665i \(0.128447\pi\)
\(542\) −3.95322 1.80538i −0.169805 0.0775476i
\(543\) −15.5259 + 2.23228i −0.666278 + 0.0957963i
\(544\) 3.33561 + 3.84950i 0.143013 + 0.165046i
\(545\) 0.0465597 0.0212631i 0.00199440 0.000910812i
\(546\) 2.04100 + 0.554355i 0.0873467 + 0.0237242i
\(547\) −2.43708 + 16.9503i −0.104202 + 0.724742i 0.869004 + 0.494806i \(0.164761\pi\)
−0.973206 + 0.229936i \(0.926148\pi\)
\(548\) −9.98927 + 15.5436i −0.426720 + 0.663990i
\(549\) −0.744132 + 0.858775i −0.0317588 + 0.0366516i
\(550\) −1.74052 + 5.92767i −0.0742160 + 0.252757i
\(551\) −0.296841 −0.0126458
\(552\) 4.05569 2.55957i 0.172622 0.108943i
\(553\) 13.8359 12.4917i 0.588363 0.531203i
\(554\) −10.2524 3.01037i −0.435582 0.127898i
\(555\) −4.93006 + 5.68959i −0.209269 + 0.241510i
\(556\) 9.38868 14.6091i 0.398169 0.619563i
\(557\) 4.82567 + 0.693826i 0.204470 + 0.0293983i 0.243789 0.969828i \(-0.421610\pi\)
−0.0393187 + 0.999227i \(0.512519\pi\)
\(558\) −0.729700 1.13544i −0.0308907 0.0480668i
\(559\) −1.78497 3.90854i −0.0754962 0.165314i
\(560\) −0.586008 + 4.76325i −0.0247634 + 0.201284i
\(561\) −2.61936 18.2180i −0.110589 0.769165i
\(562\) 12.1010 + 5.52635i 0.510451 + 0.233115i
\(563\) 29.6570 8.70808i 1.24989 0.367002i 0.411170 0.911559i \(-0.365120\pi\)
0.838724 + 0.544557i \(0.183302\pi\)
\(564\) −4.27044 + 1.25391i −0.179818 + 0.0527993i
\(565\) −17.2235 7.86573i −0.724600 0.330914i
\(566\) 0.500380 + 3.48022i 0.0210325 + 0.146285i
\(567\) 0.323063 2.62595i 0.0135674 0.110280i
\(568\) 6.10339 + 13.3646i 0.256093 + 0.560764i
\(569\) −17.4440 27.1434i −0.731290 1.13791i −0.985321 0.170713i \(-0.945393\pi\)
0.254031 0.967196i \(-0.418244\pi\)
\(570\) −2.20073 0.316417i −0.0921785 0.0132533i
\(571\) −10.4103 + 16.1987i −0.435656 + 0.677894i −0.987778 0.155870i \(-0.950182\pi\)
0.552122 + 0.833763i \(0.313818\pi\)
\(572\) −1.89155 + 2.18296i −0.0790895 + 0.0912742i
\(573\) 1.78576 + 0.524346i 0.0746011 + 0.0219048i
\(574\) −7.47176 + 6.74586i −0.311865 + 0.281567i
\(575\) 2.24532 + 7.88609i 0.0936362 + 0.328873i
\(576\) −1.00000 −0.0416667
\(577\) −2.14114 + 7.29206i −0.0891370 + 0.303573i −0.991980 0.126399i \(-0.959658\pi\)
0.902843 + 0.429971i \(0.141476\pi\)
\(578\) 5.85768 6.76012i 0.243647 0.281184i
\(579\) −2.56624 + 3.99315i −0.106649 + 0.165949i
\(580\) −0.0625168 + 0.434814i −0.00259587 + 0.0180547i
\(581\) −28.3181 7.69145i −1.17483 0.319095i
\(582\) −6.48916 + 2.96350i −0.268984 + 0.122841i
\(583\) 17.3291 + 19.9989i 0.717699 + 0.828268i
\(584\) −5.34924 + 0.769104i −0.221353 + 0.0318258i
\(585\) 1.31896 + 0.602350i 0.0545324 + 0.0249041i
\(586\) 21.7924 6.39882i 0.900235 0.264333i
\(587\) −1.11372 3.79298i −0.0459681 0.156553i 0.933311 0.359070i \(-0.116906\pi\)
−0.979279 + 0.202517i \(0.935088\pi\)
\(588\) −3.54129 + 6.03815i −0.146040 + 0.249009i
\(589\) −1.63752 + 0.235440i −0.0674727 + 0.00970112i
\(590\) −0.766902 + 0.664524i −0.0315729 + 0.0273580i
\(591\) −15.7295 + 7.18343i −0.647026 + 0.295487i
\(592\) 2.24386 + 3.49151i 0.0922220 + 0.143500i
\(593\) 28.7025 + 4.12680i 1.17867 + 0.169467i 0.703676 0.710521i \(-0.251541\pi\)
0.474995 + 0.879988i \(0.342450\pi\)
\(594\) 3.03980 + 1.95356i 0.124724 + 0.0801556i
\(595\) 24.4400 0.498352i 1.00194 0.0204304i
\(596\) 0.858659 2.92432i 0.0351720 0.119785i
\(597\) 9.11301i 0.372971i
\(598\) −0.576762 + 3.79003i −0.0235856 + 0.154986i
\(599\) 23.8509 0.974521 0.487261 0.873257i \(-0.337996\pi\)
0.487261 + 0.873257i \(0.337996\pi\)
\(600\) 0.481683 1.64046i 0.0196646 0.0669715i
\(601\) 21.5390 + 18.6637i 0.878595 + 0.761307i 0.972163 0.234306i \(-0.0752818\pi\)
−0.0935680 + 0.995613i \(0.529827\pi\)
\(602\) 14.0326 2.31050i 0.571928 0.0941689i
\(603\) −3.54254 0.509340i −0.144263 0.0207419i
\(604\) 16.1042 10.3496i 0.655271 0.421117i
\(605\) 1.54984 + 3.39368i 0.0630100 + 0.137973i
\(606\) 12.1871 + 14.0647i 0.495068 + 0.571339i
\(607\) 19.1651 2.75552i 0.777886 0.111843i 0.258076 0.966125i \(-0.416912\pi\)
0.519810 + 0.854282i \(0.326003\pi\)
\(608\) −0.509185 + 1.11496i −0.0206502 + 0.0452176i
\(609\) −0.335347 + 0.545972i −0.0135890 + 0.0221239i
\(610\) 1.97770 0.580704i 0.0800746 0.0235120i
\(611\) 1.47796 3.23628i 0.0597919 0.130926i
\(612\) 0.724897 + 5.04177i 0.0293022 + 0.203801i
\(613\) 33.0498 28.6378i 1.33487 1.15667i 0.360235 0.932861i \(-0.382696\pi\)
0.974633 0.223809i \(-0.0718491\pi\)
\(614\) 17.5366 8.00869i 0.707719 0.323204i
\(615\) −5.80593 + 3.73124i −0.234118 + 0.150458i
\(616\) −5.33152 7.93551i −0.214813 0.319731i
\(617\) −1.25743 + 1.95660i −0.0506222 + 0.0787696i −0.865642 0.500663i \(-0.833090\pi\)
0.815020 + 0.579433i \(0.196726\pi\)
\(618\) 1.48914 + 1.29035i 0.0599020 + 0.0519054i
\(619\) −13.1898 3.87287i −0.530143 0.155664i 0.00569694 0.999984i \(-0.498187\pi\)
−0.535839 + 0.844320i \(0.680005\pi\)
\(620\) 2.44823i 0.0983233i
\(621\) 4.79567 + 0.0394236i 0.192444 + 0.00158201i
\(622\) 4.54332i 0.182170i
\(623\) −17.8053 36.9743i −0.713355 1.48134i
\(624\) 0.523479 0.604126i 0.0209559 0.0241844i
\(625\) −11.3807 7.31395i −0.455229 0.292558i
\(626\) −1.76387 + 12.2680i −0.0704984 + 0.490327i
\(627\) 3.72596 2.39453i 0.148801 0.0956284i
\(628\) −7.11569 15.5812i −0.283947 0.621757i
\(629\) 15.9768 13.8440i 0.637038 0.551996i
\(630\) −3.06819 + 3.69028i −0.122240 + 0.147024i
\(631\) 7.93216 + 3.62250i 0.315774 + 0.144209i 0.566997 0.823720i \(-0.308105\pi\)
−0.251222 + 0.967929i \(0.580832\pi\)
\(632\) −1.98495 6.76014i −0.0789573 0.268904i
\(633\) 6.50934 + 22.1688i 0.258723 + 0.881130i
\(634\) −3.57296 + 7.82368i −0.141900 + 0.310718i
\(635\) −0.305912 2.12767i −0.0121398 0.0844339i
\(636\) −4.79577 5.53461i −0.190165 0.219462i
\(637\) −1.79402 5.30023i −0.0710817 0.210003i
\(638\) −0.473104 0.736165i −0.0187304 0.0291450i
\(639\) −2.09093 + 14.5427i −0.0827158 + 0.575301i
\(640\) 1.52596 + 0.980676i 0.0603189 + 0.0387646i
\(641\) 16.8477 + 14.5986i 0.665445 + 0.576612i 0.920704 0.390261i \(-0.127615\pi\)
−0.255259 + 0.966873i \(0.582161\pi\)
\(642\) 17.4458 + 5.12254i 0.688530 + 0.202171i
\(643\) −12.1646 −0.479727 −0.239863 0.970807i \(-0.577103\pi\)
−0.239863 + 0.970807i \(0.577103\pi\)
\(644\) −11.6052 5.13020i −0.457310 0.202158i
\(645\) 9.75025 0.383916
\(646\) 5.99048 + 1.75896i 0.235692 + 0.0692055i
\(647\) 1.83417 + 1.58932i 0.0721086 + 0.0624825i 0.690169 0.723648i \(-0.257536\pi\)
−0.618061 + 0.786130i \(0.712081\pi\)
\(648\) −0.841254 0.540641i −0.0330476 0.0212384i
\(649\) 0.287683 2.00088i 0.0112925 0.0785412i
\(650\) 0.738895 + 1.14974i 0.0289818 + 0.0450966i
\(651\) −1.41690 + 3.27782i −0.0555327 + 0.128468i
\(652\) 0.885625 + 1.02207i 0.0346837 + 0.0400272i
\(653\) −5.70968 39.7117i −0.223437 1.55404i −0.724897 0.688858i \(-0.758112\pi\)
0.501460 0.865181i \(-0.332797\pi\)
\(654\) 0.0117222 0.0256681i 0.000458376 0.00100370i
\(655\) 4.41549 + 15.0378i 0.172528 + 0.587575i
\(656\) 1.07193 + 3.65065i 0.0418517 + 0.142534i
\(657\) −4.91588 2.24501i −0.191787 0.0875860i
\(658\) 9.05470 + 7.52829i 0.352989 + 0.293483i
\(659\) −8.20901 + 7.11315i −0.319778 + 0.277089i −0.799926 0.600098i \(-0.795128\pi\)
0.480149 + 0.877187i \(0.340583\pi\)
\(660\) −2.72281 5.96212i −0.105985 0.232075i
\(661\) −31.3441 + 20.1436i −1.21915 + 0.783497i −0.982166 0.188018i \(-0.939794\pi\)
−0.236979 + 0.971515i \(0.576157\pi\)
\(662\) 0.148620 1.03367i 0.00577628 0.0401749i
\(663\) −3.42533 2.20133i −0.133029 0.0854925i
\(664\) −7.26306 + 8.38201i −0.281861 + 0.325285i
\(665\) 2.55224 + 5.29995i 0.0989717 + 0.205523i
\(666\) 4.15037i 0.160823i
\(667\) −1.05247 0.491145i −0.0407520 0.0190172i
\(668\) 2.76335i 0.106917i
\(669\) −4.66707 1.37037i −0.180439 0.0529818i
\(670\) 4.90628 + 4.25132i 0.189546 + 0.164243i
\(671\) −2.21987 + 3.45419i −0.0856973 + 0.133348i
\(672\) 1.47548 + 2.19612i 0.0569178 + 0.0847173i
\(673\) 30.5492 19.6328i 1.17758 0.756787i 0.202643 0.979253i \(-0.435047\pi\)
0.974941 + 0.222465i \(0.0714104\pi\)
\(674\) −23.1121 + 10.5549i −0.890244 + 0.406561i
\(675\) 1.29212 1.11963i 0.0497336 0.0430944i
\(676\) −1.75915 12.2352i −0.0676598 0.470584i
\(677\) 20.9855 45.9519i 0.806539 1.76607i 0.184922 0.982753i \(-0.440797\pi\)
0.621617 0.783321i \(-0.286476\pi\)
\(678\) −10.0157 + 2.94088i −0.384651 + 0.112944i
\(679\) 16.0828 + 9.87842i 0.617203 + 0.379099i
\(680\) 3.83818 8.40444i 0.147187 0.322295i
\(681\) −3.35342 + 0.482150i −0.128504 + 0.0184760i
\(682\) −3.19376 3.68580i −0.122295 0.141137i
\(683\) 1.40162 + 3.06911i 0.0536313 + 0.117436i 0.934551 0.355831i \(-0.115802\pi\)
−0.880919 + 0.473267i \(0.843075\pi\)
\(684\) −1.03115 + 0.662678i −0.0394269 + 0.0253381i
\(685\) 33.1741 + 4.76971i 1.26752 + 0.182241i
\(686\) 18.4856 1.13207i 0.705785 0.0432225i
\(687\) 21.2188 + 18.3862i 0.809548 + 0.701477i
\(688\) 1.51438 5.15752i 0.0577353 0.196629i
\(689\) 5.85409 0.223023
\(690\) −7.27935 4.76316i −0.277120 0.181330i
\(691\) 25.2578i 0.960854i −0.877035 0.480427i \(-0.840482\pi\)
0.877035 0.480427i \(-0.159518\pi\)
\(692\) 1.95324 6.65214i 0.0742512 0.252876i
\(693\) −0.194900 9.55822i −0.00740363 0.363087i
\(694\) −8.04420 5.16969i −0.305354 0.196239i
\(695\) −31.1795 4.48294i −1.18271 0.170048i
\(696\) 0.130930 + 0.203731i 0.00496289 + 0.00772240i
\(697\) 17.6287 8.05075i 0.667734 0.304944i
\(698\) 13.4170 11.6259i 0.507842 0.440048i
\(699\) −10.1243 + 1.45565i −0.382934 + 0.0550577i
\(700\) −4.31337 + 1.36263i −0.163030 + 0.0515026i
\(701\) 8.88049 + 30.2442i 0.335412 + 1.14231i 0.938686 + 0.344773i \(0.112044\pi\)
−0.603274 + 0.797534i \(0.706138\pi\)
\(702\) 0.766994 0.225210i 0.0289483 0.00849999i
\(703\) 4.62749 + 2.11330i 0.174529 + 0.0797048i
\(704\) −3.57664 + 0.514243i −0.134800 + 0.0193813i
\(705\) 5.28684 + 6.10134i 0.199114 + 0.229790i
\(706\) 7.70350 3.51807i 0.289925 0.132404i
\(707\) 12.9060 47.5166i 0.485378 1.78705i
\(708\) −0.0796151 + 0.553735i −0.00299212 + 0.0208106i
\(709\) 12.8089 19.9310i 0.481048 0.748525i −0.512892 0.858453i \(-0.671426\pi\)
0.993940 + 0.109928i \(0.0350621\pi\)
\(710\) 17.4524 20.1411i 0.654976 0.755883i
\(711\) 1.98495 6.76014i 0.0744416 0.253525i
\(712\) −15.5109 −0.581297
\(713\) −6.19551 1.87462i −0.232024 0.0702052i
\(714\) 10.0028 9.03099i 0.374345 0.337976i
\(715\) 5.02720 + 1.47612i 0.188007 + 0.0552038i
\(716\) 6.17317 7.12422i 0.230702 0.266244i
\(717\) −3.17156 + 4.93504i −0.118444 + 0.184303i
\(718\) −23.2445 3.34206i −0.867478 0.124725i
\(719\) −4.13991 6.44183i −0.154393 0.240240i 0.755437 0.655221i \(-0.227424\pi\)
−0.909830 + 0.414981i \(0.863788\pi\)
\(720\) 0.753527 + 1.64999i 0.0280823 + 0.0614917i
\(721\) 0.636568 5.17422i 0.0237070 0.192698i
\(722\) −2.49017 17.3195i −0.0926744 0.644565i
\(723\) −4.09191 1.86871i −0.152180 0.0694982i
\(724\) 15.0501 4.41912i 0.559334 0.164235i
\(725\) −0.397279 + 0.116652i −0.0147546 + 0.00433234i
\(726\) 1.87091 + 0.854418i 0.0694361 + 0.0317104i
\(727\) 4.02619 + 28.0028i 0.149323 + 1.03857i 0.917331 + 0.398125i \(0.130339\pi\)
−0.768008 + 0.640440i \(0.778752\pi\)
\(728\) −2.09912 0.258248i −0.0777985 0.00957130i
\(729\) −0.415415 0.909632i −0.0153857 0.0336901i
\(730\) 5.29981 + 8.24667i 0.196155 + 0.305223i
\(731\) −27.1008 3.89650i −1.00236 0.144117i
\(732\) 0.614342 0.955935i 0.0227067 0.0353324i
\(733\) −9.64216 + 11.1276i −0.356141 + 0.411009i −0.905343 0.424681i \(-0.860386\pi\)
0.549202 + 0.835690i \(0.314932\pi\)
\(734\) 2.05744 + 0.604119i 0.0759416 + 0.0222985i
\(735\) 12.6314 + 1.29319i 0.465915 + 0.0477000i
\(736\) −3.65014 + 3.11070i −0.134546 + 0.114662i
\(737\) −12.9323 −0.476368
\(738\) −1.07193 + 3.65065i −0.0394582 + 0.134382i
\(739\) 6.35704 7.33641i 0.233847 0.269874i −0.626682 0.779275i \(-0.715587\pi\)
0.860529 + 0.509401i \(0.170133\pi\)
\(740\) 4.07016 6.33330i 0.149622 0.232817i
\(741\) 0.139442 0.969841i 0.00512253 0.0356280i
\(742\) −5.07864 + 18.6983i −0.186443 + 0.686437i
\(743\) −25.0052 + 11.4195i −0.917353 + 0.418941i −0.817413 0.576052i \(-0.804592\pi\)
−0.0999404 + 0.994993i \(0.531865\pi\)
\(744\) 0.883862 + 1.02003i 0.0324040 + 0.0373962i
\(745\) −5.47214 + 0.786775i −0.200484 + 0.0288252i
\(746\) 18.7302 + 8.55381i 0.685763 + 0.313177i
\(747\) −10.6417 + 3.12469i −0.389361 + 0.114327i
\(748\) 5.18539 + 17.6598i 0.189597 + 0.645707i
\(749\) −14.4911 45.8713i −0.529495 1.67610i
\(750\) −12.0470 + 1.73209i −0.439893 + 0.0632471i
\(751\) −4.94801 + 4.28747i −0.180555 + 0.156452i −0.740449 0.672112i \(-0.765387\pi\)
0.559894 + 0.828564i \(0.310842\pi\)
\(752\) 4.04852 1.84890i 0.147634 0.0674224i
\(753\) −10.2859 16.0051i −0.374838 0.583260i
\(754\) −0.191618 0.0275505i −0.00697833 0.00100333i
\(755\) −29.2117 18.7732i −1.06312 0.683227i
\(756\) 0.0539378 + 2.64520i 0.00196170 + 0.0962050i
\(757\) 8.93559 30.4318i 0.324769 1.10606i −0.621696 0.783259i \(-0.713556\pi\)
0.946466 0.322805i \(-0.104626\pi\)
\(758\) 10.2261i 0.371430i
\(759\) 17.1726 2.32513i 0.623328 0.0843970i
\(760\) 2.22336 0.0806498
\(761\) 0.115425 0.393102i 0.00418416 0.0142499i −0.957374 0.288850i \(-0.906727\pi\)
0.961559 + 0.274600i \(0.0885454\pi\)
\(762\) −0.895587 0.776031i −0.0324437 0.0281126i
\(763\) −0.0736663 + 0.0121293i −0.00266690 + 0.000439110i
\(764\) −1.84220 0.264869i −0.0666486 0.00958262i
\(765\) 7.77266 4.99519i 0.281021 0.180601i
\(766\) 7.45110 + 16.3156i 0.269219 + 0.589508i
\(767\) −0.292849 0.337966i −0.0105742 0.0122032i
\(768\) 0.989821 0.142315i 0.0357171 0.00513534i
\(769\) −12.1588 + 26.6241i −0.438458 + 0.960090i 0.553420 + 0.832902i \(0.313322\pi\)
−0.991879 + 0.127188i \(0.959405\pi\)
\(770\) −9.07610 + 14.7766i −0.327080 + 0.532512i
\(771\) 14.1807 4.16382i 0.510704 0.149956i
\(772\) 1.97183 4.31771i 0.0709679 0.155398i
\(773\) 0.192205 + 1.33682i 0.00691315 + 0.0480820i 0.992986 0.118232i \(-0.0377226\pi\)
−0.986073 + 0.166314i \(0.946814\pi\)
\(774\) 4.06235 3.52004i 0.146018 0.126525i
\(775\) −2.09906 + 0.958609i −0.0754005 + 0.0344343i
\(776\) 6.00136 3.85684i 0.215436 0.138452i
\(777\) 9.11472 6.12378i 0.326989 0.219689i
\(778\) 5.53778 8.61695i 0.198539 0.308933i
\(779\) 3.52452 + 3.05401i 0.126279 + 0.109421i
\(780\) −1.39126 0.408511i −0.0498151 0.0146270i
\(781\) 53.0893i 1.89968i
\(782\) 18.3294 + 16.1482i 0.655459 + 0.577460i
\(783\) 0.242175i 0.00865465i
\(784\) 2.64592 6.48067i 0.0944972 0.231453i
\(785\) −20.3470 + 23.4817i −0.726216 + 0.838098i
\(786\) 7.26863 + 4.67126i 0.259263 + 0.166618i
\(787\) 0.941998 6.55174i 0.0335786 0.233544i −0.966120 0.258093i \(-0.916906\pi\)
0.999699 + 0.0245489i \(0.00781494\pi\)
\(788\) 14.5471 9.34885i 0.518219 0.333039i
\(789\) −9.79793 21.4545i −0.348816 0.763800i
\(790\) −9.65847 + 8.36911i −0.343633 + 0.297760i
\(791\) 21.2365 + 17.6565i 0.755084 + 0.627795i
\(792\) −3.28688 1.50107i −0.116794 0.0533381i
\(793\) 0.255911 + 0.871551i 0.00908765 + 0.0309497i
\(794\) 4.78694 + 16.3028i 0.169882 + 0.578565i
\(795\) −5.51834 + 12.0835i −0.195715 + 0.428557i
\(796\) 1.29692 + 9.02025i 0.0459680 + 0.319714i
\(797\) 27.6080 + 31.8613i 0.977925 + 1.12859i 0.991686 + 0.128681i \(0.0410742\pi\)
−0.0137609 + 0.999905i \(0.504380\pi\)
\(798\) 2.97676 + 1.28676i 0.105376 + 0.0455508i
\(799\) −12.2565 19.0715i −0.433603 0.674700i
\(800\) −0.243318 + 1.69231i −0.00860259 + 0.0598323i
\(801\) −13.0486 8.38585i −0.461051 0.296299i
\(802\) 9.08416 + 7.87147i 0.320773 + 0.277951i
\(803\) −18.7368 5.50162i −0.661207 0.194148i
\(804\) 3.57897 0.126220
\(805\) 0.280040 + 23.0143i 0.00987012 + 0.811147i
\(806\) −1.07891 −0.0380030
\(807\) 22.6576 + 6.65288i 0.797586 + 0.234193i
\(808\) −14.0647 12.1871i −0.494794 0.428741i
\(809\) −20.2372 13.0057i −0.711502 0.457254i 0.134170 0.990958i \(-0.457163\pi\)
−0.845671 + 0.533704i \(0.820800\pi\)
\(810\) −0.258147 + 1.79545i −0.00907036 + 0.0630857i
\(811\) 7.14293 + 11.1146i 0.250822 + 0.390287i 0.943718 0.330751i \(-0.107302\pi\)
−0.692896 + 0.721037i \(0.743666\pi\)
\(812\) 0.254234 0.588139i 0.00892187 0.0206396i
\(813\) 2.84600 + 3.28446i 0.0998135 + 0.115191i
\(814\) 2.13430 + 14.8444i 0.0748070 + 0.520294i
\(815\) 1.01906 2.23143i 0.0356961 0.0781636i
\(816\) −1.43504 4.88729i −0.0502364 0.171089i
\(817\) −1.85622 6.32171i −0.0649409 0.221168i
\(818\) −27.1088 12.3802i −0.947838 0.432863i
\(819\) −1.62627 1.35212i −0.0568265 0.0472469i
\(820\) 5.21582 4.51953i 0.182144 0.157829i
\(821\) 0.0795841 + 0.174265i 0.00277750 + 0.00608188i 0.911016 0.412372i \(-0.135300\pi\)
−0.908238 + 0.418454i \(0.862572\pi\)
\(822\) 15.5436 9.98927i 0.542146 0.348416i
\(823\) −0.525808 + 3.65708i −0.0183285 + 0.127478i −0.996931 0.0782806i \(-0.975057\pi\)
0.978603 + 0.205758i \(0.0659661\pi\)
\(824\) −1.65762 1.06529i −0.0577459 0.0371110i
\(825\) 4.04567 4.66896i 0.140852 0.162552i
\(826\) 1.33354 0.642180i 0.0463998 0.0223443i
\(827\) 29.7617i 1.03492i −0.855709 0.517458i \(-0.826878\pi\)
0.855709 0.517458i \(-0.173122\pi\)
\(828\) −4.75247 + 0.643473i −0.165160 + 0.0223622i
\(829\) 1.43804i 0.0499450i −0.999688 0.0249725i \(-0.992050\pi\)
0.999688 0.0249725i \(-0.00794983\pi\)
\(830\) 19.3032 + 5.66793i 0.670023 + 0.196737i
\(831\) 8.07534 + 6.99732i 0.280130 + 0.242734i
\(832\) −0.432174 + 0.672476i −0.0149829 + 0.0233139i
\(833\) −34.5921 8.64231i −1.19854 0.299438i
\(834\) −14.6091 + 9.38868i −0.505871 + 0.325104i
\(835\) −4.55951 + 2.08226i −0.157789 + 0.0720596i
\(836\) −3.34726 + 2.90042i −0.115767 + 0.100313i
\(837\) 0.192082 + 1.33596i 0.00663931 + 0.0461774i
\(838\) 10.9860 24.0560i 0.379506 0.831002i
\(839\) −38.8846 + 11.4175i −1.34244 + 0.394177i −0.872541 0.488540i \(-0.837529\pi\)
−0.469904 + 0.882718i \(0.655711\pi\)
\(840\) 2.51178 4.08937i 0.0866646 0.141097i
\(841\) −12.0227 + 26.3260i −0.414575 + 0.907792i
\(842\) −21.4815 + 3.08858i −0.740303 + 0.106439i
\(843\) −8.71174 10.0539i −0.300048 0.346274i
\(844\) −9.59803 21.0168i −0.330378 0.723426i
\(845\) −18.8624 + 12.1221i −0.648887 + 0.417014i
\(846\) 4.40542 + 0.633404i 0.151462 + 0.0217769i
\(847\) −0.884087 5.36944i −0.0303776 0.184496i
\(848\) 5.53461 + 4.79577i 0.190059 + 0.164687i
\(849\) 0.990574 3.37358i 0.0339964 0.115781i
\(850\) 8.70863 0.298704
\(851\) 12.9105 + 15.1494i 0.442568 + 0.519316i
\(852\) 14.6923i 0.503349i
\(853\) −8.15012 + 27.7568i −0.279055 + 0.950374i 0.694034 + 0.719943i \(0.255832\pi\)
−0.973089 + 0.230431i \(0.925986\pi\)
\(854\) −3.00580 + 0.0612907i −0.102856 + 0.00209732i
\(855\) 1.87041 + 1.20204i 0.0639667 + 0.0411089i
\(856\) −17.9972 2.58761i −0.615132 0.0884427i
\(857\) −19.0693 29.6724i −0.651395 1.01359i −0.997163 0.0752710i \(-0.976018\pi\)
0.345768 0.938320i \(-0.387619\pi\)
\(858\) 2.62745 1.19991i 0.0896995 0.0409644i
\(859\) −26.7811 + 23.2060i −0.913759 + 0.791777i −0.978526 0.206123i \(-0.933915\pi\)
0.0647667 + 0.997900i \(0.479370\pi\)
\(860\) −9.65100 + 1.38760i −0.329096 + 0.0473169i
\(861\) 9.59888 3.03237i 0.327129 0.103343i
\(862\) −0.740146 2.52070i −0.0252095 0.0858555i
\(863\) −22.7652 + 6.68446i −0.774936 + 0.227542i −0.645207 0.764008i \(-0.723229\pi\)
−0.129729 + 0.991549i \(0.541411\pi\)
\(864\) 0.909632 + 0.415415i 0.0309463 + 0.0141327i
\(865\) −12.4478 + 1.78973i −0.423238 + 0.0608525i
\(866\) 1.89746 + 2.18978i 0.0644782 + 0.0744118i
\(867\) −8.13658 + 3.71585i −0.276333 + 0.126197i
\(868\) 0.935995 3.44611i 0.0317697 0.116968i
\(869\) 3.62311 25.1993i 0.122906 0.854828i
\(870\) 0.237496 0.369550i 0.00805186 0.0125289i
\(871\) −1.87351 + 2.16215i −0.0634816 + 0.0732616i
\(872\) −0.00794996 + 0.0270751i −0.000269220 + 0.000916878i
\(873\) 7.13383 0.241444
\(874\) −1.70244 + 5.62646i −0.0575859 + 0.190318i
\(875\) 21.5789 + 23.9010i 0.729501 + 0.808000i
\(876\) 5.18534 + 1.52255i 0.175196 + 0.0514423i
\(877\) −15.5216 + 17.9129i −0.524126 + 0.604874i −0.954659 0.297701i \(-0.903780\pi\)
0.430533 + 0.902575i \(0.358326\pi\)
\(878\) 13.7773 21.4379i 0.464962 0.723495i
\(879\) −22.4812 3.23231i −0.758272 0.109023i
\(880\) 3.54359 + 5.51394i 0.119454 + 0.185875i
\(881\) 11.2323 + 24.5953i 0.378426 + 0.828638i 0.999010 + 0.0444972i \(0.0141686\pi\)
−0.620583 + 0.784140i \(0.713104\pi\)
\(882\) 5.72961 4.02139i 0.192926 0.135407i
\(883\) −7.82562 54.4284i −0.263353 1.83166i −0.507178 0.861842i \(-0.669311\pi\)
0.243824 0.969819i \(-0.421598\pi\)
\(884\) 3.70375 + 1.69145i 0.124571 + 0.0568895i
\(885\) 0.973652 0.285890i 0.0327290 0.00961009i
\(886\) −35.3699 + 10.3855i −1.18827 + 0.348909i
\(887\) −41.7340 19.0593i −1.40129 0.639949i −0.435719 0.900083i \(-0.643506\pi\)
−0.965573 + 0.260134i \(0.916233\pi\)
\(888\) −0.590659 4.10812i −0.0198212 0.137860i
\(889\) −0.382839 + 3.11184i −0.0128400 + 0.104368i
\(890\) 11.6879 + 25.5930i 0.391780 + 0.857878i
\(891\) −1.95356 3.03980i −0.0654467 0.101837i
\(892\) 4.81459 + 0.692233i 0.161204 + 0.0231777i
\(893\) 2.94940 4.58935i 0.0986978 0.153577i
\(894\) −1.99587 + 2.30336i −0.0667519 + 0.0770358i
\(895\) −16.4066 4.81740i −0.548411 0.161028i
\(896\) −1.77300 1.96379i −0.0592318 0.0656056i
\(897\) 2.09908 3.20793i 0.0700861 0.107110i
\(898\) 20.8035 0.694221
\(899\) 0.0920880 0.313623i 0.00307131 0.0104599i
\(900\) −1.11963 + 1.29212i −0.0373209 + 0.0430706i
\(901\) 20.1671 31.3807i 0.671865 1.04544i
\(902\) −1.95657 + 13.6083i −0.0651468 + 0.453106i
\(903\) −13.7244 3.72766i −0.456718 0.124049i
\(904\) 9.49524 4.33633i 0.315807 0.144224i
\(905\) −18.6322 21.5027i −0.619356 0.714774i
\(906\) −18.9483 + 2.72435i −0.629514 + 0.0905105i
\(907\) 35.5936 + 16.2550i 1.18187 + 0.539740i 0.906749 0.421671i \(-0.138556\pi\)
0.275116 + 0.961411i \(0.411284\pi\)
\(908\) 3.25067 0.954484i 0.107877 0.0316757i
\(909\) −5.24311 17.8564i −0.173903 0.592260i
\(910\) 1.15564 + 3.65813i 0.0383089 + 0.121266i
\(911\) −18.1953 + 2.61609i −0.602837 + 0.0866749i −0.436975 0.899474i \(-0.643950\pi\)
−0.165863 + 0.986149i \(0.553041\pi\)
\(912\) 0.926342 0.802680i 0.0306743 0.0265794i
\(913\) −36.4548 + 16.6483i −1.20648 + 0.550979i
\(914\) 5.47870 + 8.52503i 0.181219 + 0.281983i
\(915\) −2.04021 0.293338i −0.0674473 0.00969745i
\(916\) −23.6194 15.1793i −0.780409 0.501538i
\(917\) −0.466035 22.8552i −0.0153898 0.754744i
\(918\) 1.43504 4.88729i 0.0473633 0.161305i
\(919\) 45.0275i 1.48532i −0.669669 0.742659i \(-0.733564\pi\)
0.669669 0.742659i \(-0.266436\pi\)
\(920\) 7.88312 + 3.67872i 0.259899 + 0.121284i
\(921\) −19.2788 −0.635257
\(922\) 11.5003 39.1665i 0.378743 1.28988i
\(923\) 8.87599 + 7.69109i 0.292157 + 0.253155i
\(924\) 1.55319 + 9.43319i 0.0510963 + 0.310329i
\(925\) 7.02372 + 1.00986i 0.230938 + 0.0332039i
\(926\) −23.5697 + 15.1473i −0.774549 + 0.497773i
\(927\) −0.818540 1.79235i −0.0268844 0.0588686i
\(928\) −0.158591 0.183024i −0.00520601 0.00600806i
\(929\) −41.4248 + 5.95598i −1.35910 + 0.195410i −0.783028 0.621987i \(-0.786326\pi\)
−0.576075 + 0.817397i \(0.695417\pi\)
\(930\) 1.01703 2.22699i 0.0333498 0.0730258i
\(931\) −1.56626 8.43592i −0.0513322 0.276476i
\(932\) 9.81404 2.88166i 0.321470 0.0943920i
\(933\) 1.88736 4.13275i 0.0617895 0.135300i
\(934\) 1.82201 + 12.6723i 0.0596179 + 0.414651i
\(935\) 25.2313 21.8630i 0.825150 0.714997i
\(936\) −0.727136 + 0.332072i −0.0237672 + 0.0108541i
\(937\) −31.4818 + 20.2321i −1.02847 + 0.660955i −0.942108 0.335309i \(-0.891159\pi\)
−0.0863577 + 0.996264i \(0.527523\pi\)
\(938\) −5.28069 7.85986i −0.172421 0.256634i
\(939\) 6.70077 10.4266i 0.218671 0.340259i
\(940\) −6.10134 5.28684i −0.199004 0.172438i
\(941\) 2.24442 + 0.659021i 0.0731660 + 0.0214835i 0.318111 0.948054i \(-0.396952\pi\)
−0.244945 + 0.969537i \(0.578770\pi\)
\(942\) 17.1291i 0.558097i
\(943\) 7.44339 + 16.6598i 0.242390 + 0.542519i
\(944\) 0.559429i 0.0182079i
\(945\) 4.32392 2.08223i 0.140657 0.0677349i
\(946\) 12.7194 14.6789i 0.413543 0.477254i
\(947\) 14.9059 + 9.57947i 0.484378 + 0.311291i 0.759941 0.649992i \(-0.225228\pi\)
−0.275563 + 0.961283i \(0.588864\pi\)
\(948\) −1.00268 + 6.97382i −0.0325656 + 0.226499i
\(949\) −3.63423 + 2.33558i −0.117972 + 0.0758160i
\(950\) 0.870562 + 1.90626i 0.0282448 + 0.0618474i
\(951\) 6.50015 5.63241i 0.210782 0.182643i
\(952\) −8.61572 + 10.3626i −0.279237 + 0.335854i
\(953\) 11.3859 + 5.19977i 0.368826 + 0.168437i 0.591201 0.806524i \(-0.298654\pi\)
−0.222376 + 0.974961i \(0.571381\pi\)
\(954\) 2.06322 + 7.02670i 0.0667994 + 0.227498i
\(955\) 0.951118 + 3.23921i 0.0307774 + 0.104818i
\(956\) 2.43695 5.33617i 0.0788165 0.172584i
\(957\) 0.124537 + 0.866174i 0.00402571 + 0.0279994i
\(958\) −7.14810 8.24934i −0.230945 0.266524i
\(959\) −44.8719 19.3967i −1.44899 0.626353i
\(960\) −0.980676 1.52596i −0.0316512 0.0492502i
\(961\) −4.15251 + 28.8813i −0.133952 + 0.931656i
\(962\) 2.79102 + 1.79368i 0.0899862 + 0.0578306i
\(963\) −13.7413 11.9069i −0.442806 0.383694i
\(964\) 4.31621 + 1.26735i 0.139016 + 0.0408187i
\(965\) −8.61004 −0.277167
\(966\) 8.42531 + 9.48758i 0.271080 + 0.305258i
\(967\) 38.3499 1.23325 0.616625 0.787257i \(-0.288499\pi\)
0.616625 + 0.787257i \(0.288499\pi\)
\(968\) −1.97347 0.579462i −0.0634296 0.0186246i
\(969\) −4.71843 4.08854i −0.151578 0.131343i
\(970\) −10.8860 6.99598i −0.349527 0.224627i
\(971\) −4.17425 + 29.0326i −0.133958 + 0.931699i 0.806365 + 0.591418i \(0.201431\pi\)
−0.940324 + 0.340282i \(0.889478\pi\)
\(972\) 0.540641 + 0.841254i 0.0173411 + 0.0269832i
\(973\) 42.1741 + 18.2305i 1.35204 + 0.584444i
\(974\) −20.6775 23.8631i −0.662550 0.764624i
\(975\) −0.194502 1.35279i −0.00622905 0.0433240i
\(976\) −0.472045 + 1.03363i −0.0151098 + 0.0330858i
\(977\) 2.88394 + 9.82181i 0.0922655 + 0.314227i 0.992675 0.120816i \(-0.0385511\pi\)
−0.900409 + 0.435044i \(0.856733\pi\)
\(978\) −0.381011 1.29761i −0.0121834 0.0414928i
\(979\) −50.9826 23.2830i −1.62941 0.744127i
\(980\) −12.6868 + 0.517605i −0.405266 + 0.0165343i
\(981\) −0.0213258 + 0.0184789i −0.000680882 + 0.000589987i
\(982\) 1.00387 + 2.19817i 0.0320348 + 0.0701463i
\(983\) −46.6251 + 29.9641i −1.48711 + 0.955708i −0.490675 + 0.871343i \(0.663250\pi\)
−0.996435 + 0.0843650i \(0.973114\pi\)
\(984\) 0.541475 3.76604i 0.0172616 0.120057i
\(985\) −26.3872 16.9580i −0.840766 0.540327i
\(986\) −0.807803 + 0.932254i −0.0257257 + 0.0296890i
\(987\) −5.10908 10.6094i −0.162624 0.337702i
\(988\) 0.979814i 0.0311720i
\(989\) 3.87834 25.4854i 0.123324 0.810388i
\(990\) 6.55443i 0.208313i
\(991\) −46.5165 13.6585i −1.47765 0.433876i −0.559070 0.829120i \(-0.688842\pi\)
−0.918576 + 0.395244i \(0.870660\pi\)
\(992\) −1.02003 0.883862i −0.0323860 0.0280627i
\(993\) −0.564593 + 0.878524i −0.0179168 + 0.0278791i
\(994\) −32.2660 + 21.6781i −1.02342 + 0.687589i
\(995\) 13.9061 8.93691i 0.440853 0.283319i
\(996\) 10.0887 4.60737i 0.319673 0.145990i
\(997\) 8.61376 7.46386i 0.272800 0.236383i −0.507706 0.861530i \(-0.669507\pi\)
0.780507 + 0.625147i \(0.214961\pi\)
\(998\) −2.04412 14.2171i −0.0647054 0.450036i
\(999\) 1.72412 3.77531i 0.0545489 0.119445i
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.s.b.97.6 160
7.6 odd 2 inner 966.2.s.b.97.11 yes 160
23.14 odd 22 inner 966.2.s.b.727.11 yes 160
161.83 even 22 inner 966.2.s.b.727.6 yes 160
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
966.2.s.b.97.6 160 1.1 even 1 trivial
966.2.s.b.97.11 yes 160 7.6 odd 2 inner
966.2.s.b.727.6 yes 160 161.83 even 22 inner
966.2.s.b.727.11 yes 160 23.14 odd 22 inner