Properties

Label 560.2.cp.a.221.31
Level $560$
Weight $2$
Character 560.221
Analytic conductor $4.472$
Analytic rank $0$
Dimension $256$
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] = [560,2,Mod(221,560)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(560, base_ring=CyclotomicField(12))
 
chi = DirichletCharacter(H, H._module([0, 9, 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("560.221");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 560 = 2^{4} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 560.cp (of order \(12\), degree \(4\), 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: \(4.47162251319\)
Analytic rank: \(0\)
Dimension: \(256\)
Relative dimension: \(64\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 221.31
Character \(\chi\) \(=\) 560.221
Dual form 560.2.cp.a.261.31

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.246058 - 1.39264i) q^{2} +(-1.41502 + 0.379153i) q^{3} +(-1.87891 + 0.685341i) q^{4} +(-0.965926 - 0.258819i) q^{5} +(0.876202 + 1.87732i) q^{6} +(-1.63294 - 2.08171i) q^{7} +(1.41676 + 2.44802i) q^{8} +(-0.739552 + 0.426981i) q^{9} +O(q^{10})\) \(q+(-0.246058 - 1.39264i) q^{2} +(-1.41502 + 0.379153i) q^{3} +(-1.87891 + 0.685341i) q^{4} +(-0.965926 - 0.258819i) q^{5} +(0.876202 + 1.87732i) q^{6} +(-1.63294 - 2.08171i) q^{7} +(1.41676 + 2.44802i) q^{8} +(-0.739552 + 0.426981i) q^{9} +(-0.122769 + 1.40887i) q^{10} +(-0.00275438 - 0.0102795i) q^{11} +(2.39885 - 1.68217i) q^{12} +(1.75022 + 1.75022i) q^{13} +(-2.49728 + 2.78632i) q^{14} +1.46494 q^{15} +(3.06061 - 2.57539i) q^{16} +(-0.216847 + 0.375590i) q^{17} +(0.776605 + 0.924871i) q^{18} +(-0.646988 + 2.41459i) q^{19} +(1.99227 - 0.175691i) q^{20} +(3.09993 + 2.32652i) q^{21} +(-0.0136379 + 0.00636522i) q^{22} +(3.50595 - 2.02416i) q^{23} +(-2.93291 - 2.92683i) q^{24} +(0.866025 + 0.500000i) q^{25} +(2.00677 - 2.86808i) q^{26} +(3.99219 - 3.99219i) q^{27} +(4.49483 + 2.79222i) q^{28} +(6.06115 + 6.06115i) q^{29} +(-0.360459 - 2.04013i) q^{30} +(-1.48571 + 2.57333i) q^{31} +(-4.33969 - 3.62865i) q^{32} +(0.00779501 + 0.0135014i) q^{33} +(0.576420 + 0.209574i) q^{34} +(1.03851 + 2.43341i) q^{35} +(1.09693 - 1.30910i) q^{36} +(6.70964 + 1.79784i) q^{37} +(3.52186 + 0.306895i) q^{38} +(-3.14019 - 1.81299i) q^{39} +(-0.734887 - 2.73129i) q^{40} +1.88210i q^{41} +(2.47725 - 4.88956i) q^{42} +(6.27835 - 6.27835i) q^{43} +(0.0122202 + 0.0174266i) q^{44} +(0.824864 - 0.221022i) q^{45} +(-3.68160 - 4.38448i) q^{46} +(1.14395 + 1.98137i) q^{47} +(-3.35436 + 4.80467i) q^{48} +(-1.66701 + 6.79861i) q^{49} +(0.483229 - 1.32909i) q^{50} +(0.164437 - 0.613686i) q^{51} +(-4.48799 - 2.08900i) q^{52} +(0.875343 + 3.26682i) q^{53} +(-6.54200 - 4.57739i) q^{54} +0.0106421i q^{55} +(2.78258 - 6.94674i) q^{56} -3.66200i q^{57} +(6.94963 - 9.93241i) q^{58} +(-1.05114 - 3.92290i) q^{59} +(-2.75249 + 1.00398i) q^{60} +(-1.50742 + 5.62576i) q^{61} +(3.94930 + 1.43588i) q^{62} +(2.09649 + 0.842297i) q^{63} +(-3.98560 + 6.93650i) q^{64} +(-1.23759 - 2.14357i) q^{65} +(0.0168846 - 0.0141778i) q^{66} +(-5.29952 + 1.42000i) q^{67} +(0.150029 - 0.854315i) q^{68} +(-4.19352 + 4.19352i) q^{69} +(3.13334 - 2.04504i) q^{70} +12.3604i q^{71} +(-2.09302 - 1.20551i) q^{72} +(1.20705 + 0.696889i) q^{73} +(0.852796 - 9.78651i) q^{74} +(-1.41502 - 0.379153i) q^{75} +(-0.439186 - 4.98021i) q^{76} +(-0.0169012 + 0.0225196i) q^{77} +(-1.75218 + 4.81926i) q^{78} +(-8.04492 - 13.9342i) q^{79} +(-3.62289 + 1.69549i) q^{80} +(-2.85443 + 4.94402i) q^{81} +(2.62110 - 0.463106i) q^{82} +(1.86041 + 1.86041i) q^{83} +(-7.41895 - 2.24682i) q^{84} +(0.306668 - 0.306668i) q^{85} +(-10.2883 - 7.19867i) q^{86} +(-10.8747 - 6.27854i) q^{87} +(0.0212621 - 0.0213063i) q^{88} +(-7.02860 + 4.05796i) q^{89} +(-0.510768 - 1.09436i) q^{90} +(0.785438 - 6.50143i) q^{91} +(-5.20013 + 6.20599i) q^{92} +(1.12663 - 4.20463i) q^{93} +(2.47787 - 2.08064i) q^{94} +(1.24989 - 2.16486i) q^{95} +(7.51656 + 3.48920i) q^{96} -7.20356 q^{97} +(9.87822 + 0.648701i) q^{98} +(0.00642616 + 0.00642616i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 256 q + 4 q^{4}+O(q^{10}) \) Copy content Toggle raw display \( 256 q + 4 q^{4} + 8 q^{11} + 16 q^{14} - 20 q^{16} - 40 q^{18} - 16 q^{20} + 56 q^{22} - 40 q^{24} + 4 q^{28} - 32 q^{29} - 20 q^{32} + 16 q^{37} - 40 q^{38} - 60 q^{42} + 16 q^{43} + 32 q^{44} - 20 q^{46} + 80 q^{47} - 160 q^{48} - 8 q^{50} - 40 q^{51} + 24 q^{52} - 16 q^{53} - 116 q^{54} - 96 q^{56} - 8 q^{58} + 16 q^{59} - 28 q^{60} + 88 q^{62} - 56 q^{64} - 16 q^{66} - 40 q^{67} - 20 q^{68} - 16 q^{70} + 76 q^{72} + 52 q^{74} - 48 q^{78} + 128 q^{81} - 80 q^{83} - 68 q^{84} + 52 q^{86} + 20 q^{88} - 72 q^{90} - 32 q^{91} - 112 q^{92} + 120 q^{94} + 140 q^{96} + 24 q^{98} - 80 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/560\mathbb{Z}\right)^\times\).

\(n\) \(241\) \(337\) \(351\) \(421\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(1\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.246058 1.39264i −0.173989 0.984748i
\(3\) −1.41502 + 0.379153i −0.816962 + 0.218904i −0.643018 0.765851i \(-0.722318\pi\)
−0.173944 + 0.984756i \(0.555651\pi\)
\(4\) −1.87891 + 0.685341i −0.939456 + 0.342671i
\(5\) −0.965926 0.258819i −0.431975 0.115747i
\(6\) 0.876202 + 1.87732i 0.357708 + 0.766414i
\(7\) −1.63294 2.08171i −0.617194 0.786811i
\(8\) 1.41676 + 2.44802i 0.500899 + 0.865506i
\(9\) −0.739552 + 0.426981i −0.246517 + 0.142327i
\(10\) −0.122769 + 1.40887i −0.0388230 + 0.445525i
\(11\) −0.00275438 0.0102795i −0.000830478 0.00309938i 0.965509 0.260368i \(-0.0838440\pi\)
−0.966340 + 0.257269i \(0.917177\pi\)
\(12\) 2.39885 1.68217i 0.692488 0.485600i
\(13\) 1.75022 + 1.75022i 0.485422 + 0.485422i 0.906858 0.421436i \(-0.138474\pi\)
−0.421436 + 0.906858i \(0.638474\pi\)
\(14\) −2.49728 + 2.78632i −0.667426 + 0.744676i
\(15\) 1.46494 0.378245
\(16\) 3.06061 2.57539i 0.765154 0.643848i
\(17\) −0.216847 + 0.375590i −0.0525932 + 0.0910940i −0.891123 0.453761i \(-0.850082\pi\)
0.838530 + 0.544855i \(0.183415\pi\)
\(18\) 0.776605 + 0.924871i 0.183047 + 0.217994i
\(19\) −0.646988 + 2.41459i −0.148429 + 0.553945i 0.851150 + 0.524923i \(0.175906\pi\)
−0.999579 + 0.0290222i \(0.990761\pi\)
\(20\) 1.99227 0.175691i 0.445485 0.0392856i
\(21\) 3.09993 + 2.32652i 0.676460 + 0.507689i
\(22\) −0.0136379 + 0.00636522i −0.00290762 + 0.00135707i
\(23\) 3.50595 2.02416i 0.731041 0.422067i −0.0877618 0.996141i \(-0.527971\pi\)
0.818803 + 0.574075i \(0.194638\pi\)
\(24\) −2.93291 2.92683i −0.598678 0.597436i
\(25\) 0.866025 + 0.500000i 0.173205 + 0.100000i
\(26\) 2.00677 2.86808i 0.393560 0.562477i
\(27\) 3.99219 3.99219i 0.768297 0.768297i
\(28\) 4.49483 + 2.79222i 0.849443 + 0.527680i
\(29\) 6.06115 + 6.06115i 1.12553 + 1.12553i 0.990896 + 0.134631i \(0.0429850\pi\)
0.134631 + 0.990896i \(0.457015\pi\)
\(30\) −0.360459 2.04013i −0.0658105 0.372476i
\(31\) −1.48571 + 2.57333i −0.266842 + 0.462184i −0.968045 0.250778i \(-0.919313\pi\)
0.701203 + 0.712962i \(0.252647\pi\)
\(32\) −4.33969 3.62865i −0.767156 0.641461i
\(33\) 0.00779501 + 0.0135014i 0.00135694 + 0.00235028i
\(34\) 0.576420 + 0.209574i 0.0988553 + 0.0359416i
\(35\) 1.03851 + 2.43341i 0.175541 + 0.411322i
\(36\) 1.09693 1.30910i 0.182821 0.218184i
\(37\) 6.70964 + 1.79784i 1.10306 + 0.295564i 0.764009 0.645205i \(-0.223228\pi\)
0.339049 + 0.940769i \(0.389895\pi\)
\(38\) 3.52186 + 0.306895i 0.571322 + 0.0497849i
\(39\) −3.14019 1.81299i −0.502833 0.290311i
\(40\) −0.734887 2.73129i −0.116196 0.431855i
\(41\) 1.88210i 0.293935i 0.989141 + 0.146968i \(0.0469513\pi\)
−0.989141 + 0.146968i \(0.953049\pi\)
\(42\) 2.47725 4.88956i 0.382249 0.754475i
\(43\) 6.27835 6.27835i 0.957440 0.957440i −0.0416909 0.999131i \(-0.513274\pi\)
0.999131 + 0.0416909i \(0.0132745\pi\)
\(44\) 0.0122202 + 0.0174266i 0.00184226 + 0.00262715i
\(45\) 0.824864 0.221022i 0.122963 0.0329479i
\(46\) −3.68160 4.38448i −0.542822 0.646456i
\(47\) 1.14395 + 1.98137i 0.166862 + 0.289013i 0.937315 0.348484i \(-0.113303\pi\)
−0.770453 + 0.637497i \(0.779970\pi\)
\(48\) −3.35436 + 4.80467i −0.484161 + 0.693495i
\(49\) −1.66701 + 6.79861i −0.238144 + 0.971230i
\(50\) 0.483229 1.32909i 0.0683390 0.187962i
\(51\) 0.164437 0.613686i 0.0230257 0.0859332i
\(52\) −4.48799 2.08900i −0.622373 0.289693i
\(53\) 0.875343 + 3.26682i 0.120238 + 0.448733i 0.999625 0.0273737i \(-0.00871440\pi\)
−0.879388 + 0.476106i \(0.842048\pi\)
\(54\) −6.54200 4.57739i −0.890254 0.622904i
\(55\) 0.0106421i 0.00143498i
\(56\) 2.78258 6.94674i 0.371838 0.928298i
\(57\) 3.66200i 0.485044i
\(58\) 6.94963 9.93241i 0.912531 1.30419i
\(59\) −1.05114 3.92290i −0.136846 0.510718i −0.999983 0.00574809i \(-0.998170\pi\)
0.863137 0.504970i \(-0.168496\pi\)
\(60\) −2.75249 + 1.00398i −0.355344 + 0.129613i
\(61\) −1.50742 + 5.62576i −0.193005 + 0.720304i 0.799769 + 0.600308i \(0.204955\pi\)
−0.992774 + 0.119997i \(0.961712\pi\)
\(62\) 3.94930 + 1.43588i 0.501562 + 0.182357i
\(63\) 2.09649 + 0.842297i 0.264133 + 0.106119i
\(64\) −3.98560 + 6.93650i −0.498200 + 0.867062i
\(65\) −1.23759 2.14357i −0.153504 0.265877i
\(66\) 0.0168846 0.0141778i 0.00207834 0.00174516i
\(67\) −5.29952 + 1.42000i −0.647439 + 0.173481i −0.567571 0.823325i \(-0.692117\pi\)
−0.0798684 + 0.996805i \(0.525450\pi\)
\(68\) 0.150029 0.854315i 0.0181937 0.103601i
\(69\) −4.19352 + 4.19352i −0.504841 + 0.504841i
\(70\) 3.13334 2.04504i 0.374506 0.244429i
\(71\) 12.3604i 1.46690i 0.679741 + 0.733452i \(0.262092\pi\)
−0.679741 + 0.733452i \(0.737908\pi\)
\(72\) −2.09302 1.20551i −0.246665 0.142071i
\(73\) 1.20705 + 0.696889i 0.141274 + 0.0815647i 0.568971 0.822358i \(-0.307342\pi\)
−0.427697 + 0.903922i \(0.640675\pi\)
\(74\) 0.852796 9.78651i 0.0991355 1.13766i
\(75\) −1.41502 0.379153i −0.163392 0.0437809i
\(76\) −0.439186 4.98021i −0.0503781 0.571270i
\(77\) −0.0169012 + 0.0225196i −0.00192607 + 0.00256635i
\(78\) −1.75218 + 4.81926i −0.198395 + 0.545674i
\(79\) −8.04492 13.9342i −0.905124 1.56772i −0.820750 0.571287i \(-0.806444\pi\)
−0.0843739 0.996434i \(-0.526889\pi\)
\(80\) −3.62289 + 1.69549i −0.405051 + 0.189562i
\(81\) −2.85443 + 4.94402i −0.317159 + 0.549336i
\(82\) 2.62110 0.463106i 0.289452 0.0511415i
\(83\) 1.86041 + 1.86041i 0.204206 + 0.204206i 0.801799 0.597593i \(-0.203876\pi\)
−0.597593 + 0.801799i \(0.703876\pi\)
\(84\) −7.41895 2.24682i −0.809474 0.245148i
\(85\) 0.306668 0.306668i 0.0332628 0.0332628i
\(86\) −10.2883 7.19867i −1.10942 0.776252i
\(87\) −10.8747 6.27854i −1.16590 0.673130i
\(88\) 0.0212621 0.0213063i 0.00226655 0.00227126i
\(89\) −7.02860 + 4.05796i −0.745030 + 0.430143i −0.823895 0.566742i \(-0.808204\pi\)
0.0788652 + 0.996885i \(0.474870\pi\)
\(90\) −0.510768 1.09436i −0.0538397 0.115355i
\(91\) 0.785438 6.50143i 0.0823363 0.681535i
\(92\) −5.20013 + 6.20599i −0.542151 + 0.647019i
\(93\) 1.12663 4.20463i 0.116826 0.435999i
\(94\) 2.47787 2.08064i 0.255573 0.214602i
\(95\) 1.24989 2.16486i 0.128235 0.222110i
\(96\) 7.51656 + 3.48920i 0.767156 + 0.356115i
\(97\) −7.20356 −0.731411 −0.365705 0.930731i \(-0.619172\pi\)
−0.365705 + 0.930731i \(0.619172\pi\)
\(98\) 9.87822 + 0.648701i 0.997851 + 0.0655287i
\(99\) 0.00642616 + 0.00642616i 0.000645853 + 0.000645853i
\(100\) −1.96986 0.345933i −0.196986 0.0345933i
\(101\) 4.86884 + 18.1708i 0.484468 + 1.80806i 0.582445 + 0.812870i \(0.302096\pi\)
−0.0979770 + 0.995189i \(0.531237\pi\)
\(102\) −0.895107 0.0779995i −0.0886288 0.00772310i
\(103\) −7.94590 + 4.58757i −0.782933 + 0.452026i −0.837469 0.546485i \(-0.815965\pi\)
0.0545359 + 0.998512i \(0.482632\pi\)
\(104\) −1.80493 + 6.76419i −0.176988 + 0.663284i
\(105\) −2.39215 3.04957i −0.233450 0.297607i
\(106\) 4.33413 2.02287i 0.420968 0.196478i
\(107\) 16.4080 + 4.39652i 1.58623 + 0.425028i 0.940846 0.338835i \(-0.110033\pi\)
0.645379 + 0.763862i \(0.276699\pi\)
\(108\) −4.76496 + 10.2370i −0.458508 + 0.985054i
\(109\) 9.40613 2.52037i 0.900944 0.241407i 0.221522 0.975155i \(-0.428897\pi\)
0.679422 + 0.733748i \(0.262231\pi\)
\(110\) 0.0148207 0.00261857i 0.00141310 0.000249671i
\(111\) −10.1759 −0.965857
\(112\) −10.3590 2.16584i −0.978835 0.204653i
\(113\) −2.16104 −0.203294 −0.101647 0.994821i \(-0.532411\pi\)
−0.101647 + 0.994821i \(0.532411\pi\)
\(114\) −5.09987 + 0.901064i −0.477646 + 0.0843924i
\(115\) −3.91038 + 1.04778i −0.364645 + 0.0977063i
\(116\) −15.5423 7.23440i −1.44307 0.671698i
\(117\) −2.04168 0.547068i −0.188754 0.0505764i
\(118\) −5.20456 + 2.42912i −0.479118 + 0.223619i
\(119\) 1.13597 0.161904i 0.104134 0.0148417i
\(120\) 2.07546 + 3.58619i 0.189463 + 0.327373i
\(121\) 9.52618 5.49994i 0.866016 0.499995i
\(122\) 8.20559 + 0.715034i 0.742899 + 0.0647361i
\(123\) −0.713606 2.66322i −0.0643437 0.240134i
\(124\) 1.02791 5.85328i 0.0923093 0.525640i
\(125\) −0.707107 0.707107i −0.0632456 0.0632456i
\(126\) 0.657161 3.12692i 0.0585446 0.278568i
\(127\) −10.6898 −0.948565 −0.474283 0.880373i \(-0.657292\pi\)
−0.474283 + 0.880373i \(0.657292\pi\)
\(128\) 10.6408 + 3.84374i 0.940519 + 0.339742i
\(129\) −6.50353 + 11.2644i −0.572604 + 0.991780i
\(130\) −2.68071 + 2.25096i −0.235114 + 0.197422i
\(131\) −4.30583 + 16.0696i −0.376202 + 1.40400i 0.475379 + 0.879781i \(0.342311\pi\)
−0.851581 + 0.524224i \(0.824356\pi\)
\(132\) −0.0238992 0.0200256i −0.00208016 0.00174301i
\(133\) 6.08297 2.59605i 0.527460 0.225106i
\(134\) 3.28154 + 7.03094i 0.283482 + 0.607380i
\(135\) −4.88941 + 2.82290i −0.420814 + 0.242957i
\(136\) −1.22667 + 0.00127382i −0.105186 + 0.000109229i
\(137\) 9.43510 + 5.44736i 0.806095 + 0.465399i 0.845598 0.533820i \(-0.179244\pi\)
−0.0395027 + 0.999219i \(0.512577\pi\)
\(138\) 6.87193 + 4.80823i 0.584977 + 0.409304i
\(139\) −1.68561 + 1.68561i −0.142971 + 0.142971i −0.774970 0.631998i \(-0.782235\pi\)
0.631998 + 0.774970i \(0.282235\pi\)
\(140\) −3.61899 3.86043i −0.305861 0.326266i
\(141\) −2.36995 2.36995i −0.199586 0.199586i
\(142\) 17.2136 3.04136i 1.44453 0.255225i
\(143\) 0.0131706 0.0228121i 0.00110138 0.00190764i
\(144\) −1.16384 + 3.21146i −0.0969869 + 0.267622i
\(145\) −4.28588 7.42336i −0.355923 0.616477i
\(146\) 0.673515 1.85246i 0.0557405 0.153311i
\(147\) −0.218863 10.2522i −0.0180515 0.845589i
\(148\) −13.8390 + 1.22041i −1.13756 + 0.100317i
\(149\) −0.142514 0.0381866i −0.0116752 0.00312837i 0.252977 0.967472i \(-0.418590\pi\)
−0.264652 + 0.964344i \(0.585257\pi\)
\(150\) −0.179849 + 2.06391i −0.0146846 + 0.168518i
\(151\) 15.5576 + 8.98217i 1.26606 + 0.730959i 0.974240 0.225515i \(-0.0724065\pi\)
0.291818 + 0.956474i \(0.405740\pi\)
\(152\) −6.82759 + 1.83705i −0.553791 + 0.149004i
\(153\) 0.370358i 0.0299417i
\(154\) 0.0355205 + 0.0179962i 0.00286232 + 0.00145017i
\(155\) 2.10112 2.10112i 0.168766 0.168766i
\(156\) 7.14265 + 1.25434i 0.571870 + 0.100428i
\(157\) 15.6676 4.19812i 1.25041 0.335046i 0.427915 0.903819i \(-0.359248\pi\)
0.822495 + 0.568773i \(0.192582\pi\)
\(158\) −17.4259 + 14.6323i −1.38633 + 1.16409i
\(159\) −2.47725 4.29073i −0.196459 0.340277i
\(160\) 3.25265 + 4.62820i 0.257145 + 0.365891i
\(161\) −9.93872 3.99303i −0.783281 0.314695i
\(162\) 7.58761 + 2.75869i 0.596139 + 0.216743i
\(163\) 3.68561 13.7549i 0.288679 1.07737i −0.657429 0.753516i \(-0.728356\pi\)
0.946109 0.323850i \(-0.104977\pi\)
\(164\) −1.28988 3.53631i −0.100723 0.276139i
\(165\) −0.00403500 0.0150588i −0.000314124 0.00117233i
\(166\) 2.13312 3.04865i 0.165562 0.236621i
\(167\) 10.5243i 0.814394i 0.913340 + 0.407197i \(0.133494\pi\)
−0.913340 + 0.407197i \(0.866506\pi\)
\(168\) −1.30353 + 10.8848i −0.100569 + 0.839781i
\(169\) 6.87349i 0.528730i
\(170\) −0.502538 0.351621i −0.0385429 0.0269681i
\(171\) −0.552503 2.06197i −0.0422510 0.157683i
\(172\) −7.49365 + 16.0993i −0.571386 + 1.22756i
\(173\) −2.50469 + 9.34763i −0.190428 + 0.710687i 0.802975 + 0.596012i \(0.203249\pi\)
−0.993403 + 0.114674i \(0.963418\pi\)
\(174\) −6.06795 + 16.6895i −0.460010 + 1.26523i
\(175\) −0.373314 2.61928i −0.0282199 0.197999i
\(176\) −0.0349038 0.0243680i −0.00263097 0.00183680i
\(177\) 2.97476 + 5.15244i 0.223597 + 0.387281i
\(178\) 7.38074 + 8.78984i 0.553210 + 0.658826i
\(179\) −1.35377 + 0.362742i −0.101186 + 0.0271126i −0.309057 0.951044i \(-0.600013\pi\)
0.207871 + 0.978156i \(0.433347\pi\)
\(180\) −1.39837 + 0.980593i −0.104228 + 0.0730891i
\(181\) 6.58260 6.58260i 0.489281 0.489281i −0.418798 0.908079i \(-0.637549\pi\)
0.908079 + 0.418798i \(0.137549\pi\)
\(182\) −9.24744 + 0.505892i −0.685466 + 0.0374992i
\(183\) 8.53210i 0.630711i
\(184\) 9.92226 + 5.71489i 0.731479 + 0.421307i
\(185\) −6.01570 3.47317i −0.442283 0.255352i
\(186\) −6.13276 0.534408i −0.449676 0.0391847i
\(187\) 0.00445816 + 0.00119456i 0.000326013 + 8.73549e-5i
\(188\) −3.50729 2.93883i −0.255795 0.214336i
\(189\) −14.8296 1.79156i −1.07869 0.130317i
\(190\) −3.32243 1.20796i −0.241034 0.0876348i
\(191\) −6.22609 10.7839i −0.450504 0.780296i 0.547913 0.836535i \(-0.315422\pi\)
−0.998417 + 0.0562393i \(0.982089\pi\)
\(192\) 3.00971 11.3264i 0.217207 0.817415i
\(193\) 6.69852 11.6022i 0.482170 0.835143i −0.517620 0.855610i \(-0.673182\pi\)
0.999791 + 0.0204672i \(0.00651537\pi\)
\(194\) 1.77249 + 10.0320i 0.127257 + 0.720255i
\(195\) 2.56395 + 2.56395i 0.183609 + 0.183609i
\(196\) −1.52720 13.9165i −0.109086 0.994032i
\(197\) −9.88179 + 9.88179i −0.704049 + 0.704049i −0.965277 0.261228i \(-0.915872\pi\)
0.261228 + 0.965277i \(0.415872\pi\)
\(198\) 0.00736814 0.0105306i 0.000523631 0.000748374i
\(199\) −8.96155 5.17396i −0.635268 0.366772i 0.147522 0.989059i \(-0.452870\pi\)
−0.782789 + 0.622287i \(0.786204\pi\)
\(200\) 0.00293713 + 2.82843i 0.000207687 + 0.200000i
\(201\) 6.96052 4.01866i 0.490958 0.283454i
\(202\) 24.1074 11.2516i 1.69619 0.791661i
\(203\) 2.72004 22.5150i 0.190909 1.58025i
\(204\) 0.111622 + 1.26576i 0.00781513 + 0.0886207i
\(205\) 0.487124 1.81797i 0.0340222 0.126973i
\(206\) 8.34399 + 9.93700i 0.581354 + 0.692343i
\(207\) −1.72856 + 2.99395i −0.120143 + 0.208094i
\(208\) 9.86422 + 0.849247i 0.683961 + 0.0588847i
\(209\) 0.0266028 0.00184016
\(210\) −3.65835 + 4.08179i −0.252450 + 0.281670i
\(211\) 5.97638 + 5.97638i 0.411431 + 0.411431i 0.882237 0.470806i \(-0.156037\pi\)
−0.470806 + 0.882237i \(0.656037\pi\)
\(212\) −3.88358 5.53816i −0.266725 0.380363i
\(213\) −4.68647 17.4901i −0.321112 1.19840i
\(214\) 2.08546 23.9323i 0.142559 1.63598i
\(215\) −7.68938 + 4.43946i −0.524411 + 0.302769i
\(216\) 15.4289 + 4.11700i 1.04980 + 0.280126i
\(217\) 7.78300 1.10928i 0.528344 0.0753026i
\(218\) −5.82442 12.4792i −0.394480 0.845200i
\(219\) −1.97222 0.528456i −0.133271 0.0357097i
\(220\) −0.00729348 0.0199956i −0.000491726 0.00134810i
\(221\) −1.03689 + 0.277835i −0.0697490 + 0.0186892i
\(222\) 2.50387 + 14.1715i 0.168049 + 0.951126i
\(223\) −0.576138 −0.0385810 −0.0192905 0.999814i \(-0.506141\pi\)
−0.0192905 + 0.999814i \(0.506141\pi\)
\(224\) −0.467335 + 14.9593i −0.0312251 + 0.999512i
\(225\) −0.853962 −0.0569308
\(226\) 0.531741 + 3.00956i 0.0353709 + 0.200193i
\(227\) 11.4684 3.07294i 0.761182 0.203958i 0.142710 0.989765i \(-0.454418\pi\)
0.618473 + 0.785806i \(0.287752\pi\)
\(228\) 2.50972 + 6.88058i 0.166210 + 0.455678i
\(229\) −26.5060 7.10227i −1.75157 0.469331i −0.766609 0.642115i \(-0.778057\pi\)
−0.984960 + 0.172783i \(0.944724\pi\)
\(230\) 2.42137 + 5.18795i 0.159660 + 0.342083i
\(231\) 0.0153771 0.0382738i 0.00101174 0.00251823i
\(232\) −6.25064 + 23.4250i −0.410375 + 1.53793i
\(233\) −0.423405 + 0.244453i −0.0277382 + 0.0160147i −0.513805 0.857907i \(-0.671765\pi\)
0.486067 + 0.873922i \(0.338431\pi\)
\(234\) −0.259498 + 2.97795i −0.0169639 + 0.194675i
\(235\) −0.592150 2.20993i −0.0386276 0.144160i
\(236\) 4.66352 + 6.65039i 0.303569 + 0.432903i
\(237\) 16.6669 + 16.6669i 1.08263 + 1.08263i
\(238\) −0.504989 1.54216i −0.0327335 0.0999634i
\(239\) 9.25171 0.598443 0.299222 0.954184i \(-0.403273\pi\)
0.299222 + 0.954184i \(0.403273\pi\)
\(240\) 4.48361 3.77278i 0.289416 0.243532i
\(241\) 5.72741 9.92016i 0.368935 0.639014i −0.620464 0.784235i \(-0.713056\pi\)
0.989399 + 0.145221i \(0.0463892\pi\)
\(242\) −10.0034 11.9133i −0.643046 0.765814i
\(243\) −2.21919 + 8.28214i −0.142361 + 0.531299i
\(244\) −1.02326 11.6034i −0.0655075 0.742831i
\(245\) 3.36982 6.13550i 0.215290 0.391983i
\(246\) −3.53332 + 1.64910i −0.225276 + 0.105143i
\(247\) −5.35843 + 3.09369i −0.340948 + 0.196847i
\(248\) −8.40446 + 0.00872746i −0.533683 + 0.000554195i
\(249\) −3.33789 1.92713i −0.211530 0.122127i
\(250\) −0.810759 + 1.15874i −0.0512769 + 0.0732849i
\(251\) −11.2545 + 11.2545i −0.710378 + 0.710378i −0.966614 0.256236i \(-0.917518\pi\)
0.256236 + 0.966614i \(0.417518\pi\)
\(252\) −4.51639 0.145788i −0.284506 0.00918379i
\(253\) −0.0304641 0.0304641i −0.00191526 0.00191526i
\(254\) 2.63030 + 14.8871i 0.165040 + 0.934097i
\(255\) −0.317667 + 0.550216i −0.0198931 + 0.0344559i
\(256\) 2.73473 15.7646i 0.170920 0.985285i
\(257\) −14.7912 25.6191i −0.922648 1.59807i −0.795301 0.606215i \(-0.792687\pi\)
−0.127347 0.991858i \(-0.540646\pi\)
\(258\) 17.2876 + 6.28540i 1.07628 + 0.391312i
\(259\) −7.21387 16.9033i −0.448248 1.05032i
\(260\) 3.79440 + 3.17940i 0.235318 + 0.197178i
\(261\) −7.07053 1.89454i −0.437655 0.117269i
\(262\) 23.4387 + 2.04244i 1.44805 + 0.126183i
\(263\) 10.3078 + 5.95123i 0.635608 + 0.366968i 0.782921 0.622122i \(-0.213729\pi\)
−0.147313 + 0.989090i \(0.547062\pi\)
\(264\) −0.0220080 + 0.0382105i −0.00135450 + 0.00235169i
\(265\) 3.38206i 0.207759i
\(266\) −5.11213 7.83263i −0.313445 0.480249i
\(267\) 8.40702 8.40702i 0.514501 0.514501i
\(268\) 8.98414 6.30003i 0.548794 0.384836i
\(269\) 26.2792 7.04150i 1.60227 0.429328i 0.656544 0.754287i \(-0.272017\pi\)
0.945728 + 0.324960i \(0.105351\pi\)
\(270\) 5.13438 + 6.11461i 0.312468 + 0.372123i
\(271\) 12.9716 + 22.4674i 0.787967 + 1.36480i 0.927211 + 0.374540i \(0.122199\pi\)
−0.139244 + 0.990258i \(0.544467\pi\)
\(272\) 0.303606 + 1.70800i 0.0184088 + 0.103563i
\(273\) 1.35363 + 9.49746i 0.0819254 + 0.574812i
\(274\) 5.26465 14.4801i 0.318049 0.874775i
\(275\) 0.00275438 0.0102795i 0.000166096 0.000619877i
\(276\) 5.00526 10.7532i 0.301281 0.647269i
\(277\) 0.686270 + 2.56119i 0.0412339 + 0.153887i 0.983473 0.181053i \(-0.0579506\pi\)
−0.942239 + 0.334940i \(0.891284\pi\)
\(278\) 2.76221 + 1.93269i 0.165666 + 0.115915i
\(279\) 2.53748i 0.151915i
\(280\) −4.48572 + 5.98985i −0.268073 + 0.357962i
\(281\) 26.2914i 1.56842i −0.620498 0.784208i \(-0.713070\pi\)
0.620498 0.784208i \(-0.286930\pi\)
\(282\) −2.71735 + 3.88364i −0.161816 + 0.231267i
\(283\) −7.35141 27.4358i −0.436996 1.63089i −0.736244 0.676716i \(-0.763402\pi\)
0.299248 0.954175i \(-0.403264\pi\)
\(284\) −8.47106 23.2240i −0.502665 1.37809i
\(285\) −0.947796 + 3.53722i −0.0561426 + 0.209527i
\(286\) −0.0350098 0.0127288i −0.00207017 0.000752671i
\(287\) 3.91799 3.07336i 0.231272 0.181415i
\(288\) 4.75879 + 0.830614i 0.280414 + 0.0489444i
\(289\) 8.40595 + 14.5595i 0.494468 + 0.856444i
\(290\) −9.28352 + 7.79528i −0.545147 + 0.457754i
\(291\) 10.1932 2.73125i 0.597535 0.160109i
\(292\) −2.74554 0.482153i −0.160671 0.0282159i
\(293\) 4.05308 4.05308i 0.236784 0.236784i −0.578733 0.815517i \(-0.696453\pi\)
0.815517 + 0.578733i \(0.196453\pi\)
\(294\) −14.2238 + 2.82744i −0.829551 + 0.164899i
\(295\) 4.06128i 0.236457i
\(296\) 5.10477 + 18.9724i 0.296709 + 1.10275i
\(297\) −0.0520337 0.0300417i −0.00301930 0.00174319i
\(298\) −0.0181136 + 0.207868i −0.00104929 + 0.0120415i
\(299\) 9.67889 + 2.59345i 0.559744 + 0.149983i
\(300\) 2.91855 0.257376i 0.168502 0.0148596i
\(301\) −23.3219 2.81751i −1.34425 0.162399i
\(302\) 8.68090 23.8763i 0.499530 1.37393i
\(303\) −13.7790 23.8660i −0.791584 1.37106i
\(304\) 4.23834 + 9.05638i 0.243085 + 0.519419i
\(305\) 2.91211 5.04392i 0.166747 0.288814i
\(306\) −0.515777 + 0.0911295i −0.0294850 + 0.00520953i
\(307\) −11.1660 11.1660i −0.637279 0.637279i 0.312605 0.949883i \(-0.398798\pi\)
−0.949883 + 0.312605i \(0.898798\pi\)
\(308\) 0.0163221 0.0538954i 0.000930041 0.00307098i
\(309\) 9.50421 9.50421i 0.540676 0.540676i
\(310\) −3.44310 2.40911i −0.195555 0.136828i
\(311\) 19.6624 + 11.3521i 1.11495 + 0.643718i 0.940108 0.340878i \(-0.110724\pi\)
0.174845 + 0.984596i \(0.444058\pi\)
\(312\) −0.0106500 10.2558i −0.000602936 0.580621i
\(313\) 10.5284 6.07858i 0.595101 0.343581i −0.172011 0.985095i \(-0.555027\pi\)
0.767112 + 0.641514i \(0.221693\pi\)
\(314\) −9.70161 20.7864i −0.547493 1.17304i
\(315\) −1.80706 1.35621i −0.101816 0.0764137i
\(316\) 24.6654 + 20.6676i 1.38754 + 1.16265i
\(317\) −7.52888 + 28.0982i −0.422864 + 1.57815i 0.345679 + 0.938353i \(0.387649\pi\)
−0.768543 + 0.639798i \(0.779018\pi\)
\(318\) −5.36591 + 4.50570i −0.300905 + 0.252667i
\(319\) 0.0456108 0.0790003i 0.00255372 0.00442317i
\(320\) 5.64509 5.66859i 0.315570 0.316884i
\(321\) −24.8847 −1.38893
\(322\) −3.11536 + 14.8236i −0.173612 + 0.826087i
\(323\) −0.766600 0.766600i −0.0426548 0.0426548i
\(324\) 1.97488 11.2456i 0.109716 0.624758i
\(325\) 0.640623 + 2.39084i 0.0355354 + 0.132620i
\(326\) −20.0625 1.74825i −1.11116 0.0968264i
\(327\) −12.3543 + 7.13273i −0.683192 + 0.394441i
\(328\) −4.60743 + 2.66648i −0.254403 + 0.147232i
\(329\) 2.25664 5.61682i 0.124413 0.309666i
\(330\) −0.0199787 + 0.00932464i −0.00109979 + 0.000513305i
\(331\) 20.6536 + 5.53412i 1.13522 + 0.304183i 0.777030 0.629464i \(-0.216726\pi\)
0.358195 + 0.933647i \(0.383392\pi\)
\(332\) −4.77055 2.22053i −0.261818 0.121867i
\(333\) −5.72978 + 1.53529i −0.313990 + 0.0841333i
\(334\) 14.6566 2.58958i 0.801973 0.141696i
\(335\) 5.48646 0.299758
\(336\) 15.4794 0.862942i 0.844470 0.0470773i
\(337\) −24.2420 −1.32054 −0.660272 0.751027i \(-0.729559\pi\)
−0.660272 + 0.751027i \(0.729559\pi\)
\(338\) −9.57232 + 1.69128i −0.520666 + 0.0919933i
\(339\) 3.05792 0.819366i 0.166083 0.0445019i
\(340\) −0.366030 + 0.786375i −0.0198508 + 0.0426472i
\(341\) 0.0305448 + 0.00818444i 0.00165409 + 0.000443212i
\(342\) −2.73564 + 1.27680i −0.147926 + 0.0690416i
\(343\) 16.8748 7.63150i 0.911156 0.412062i
\(344\) 24.2644 + 6.47463i 1.30825 + 0.349089i
\(345\) 5.13599 2.96527i 0.276513 0.159645i
\(346\) 13.6342 + 1.18808i 0.732980 + 0.0638718i
\(347\) 3.18310 + 11.8795i 0.170878 + 0.637725i 0.997217 + 0.0745524i \(0.0237528\pi\)
−0.826339 + 0.563173i \(0.809581\pi\)
\(348\) 24.7356 + 4.34390i 1.32597 + 0.232858i
\(349\) 24.7337 + 24.7337i 1.32397 + 1.32397i 0.910535 + 0.413431i \(0.135670\pi\)
0.413431 + 0.910535i \(0.364330\pi\)
\(350\) −3.55587 + 1.16439i −0.190069 + 0.0622392i
\(351\) 13.9744 0.745897
\(352\) −0.0253475 + 0.0546045i −0.00135103 + 0.00291043i
\(353\) 3.32899 5.76598i 0.177184 0.306892i −0.763731 0.645535i \(-0.776635\pi\)
0.940915 + 0.338643i \(0.109968\pi\)
\(354\) 6.44354 5.41058i 0.342470 0.287569i
\(355\) 3.19909 11.9392i 0.169790 0.633666i
\(356\) 10.4250 12.4415i 0.552525 0.659401i
\(357\) −1.54603 + 0.659804i −0.0818246 + 0.0349205i
\(358\) 0.838276 + 1.79607i 0.0443043 + 0.0949250i
\(359\) 10.8346 6.25533i 0.571826 0.330144i −0.186052 0.982540i \(-0.559569\pi\)
0.757878 + 0.652396i \(0.226236\pi\)
\(360\) 1.70970 + 1.70615i 0.0901089 + 0.0899219i
\(361\) 11.0428 + 6.37557i 0.581201 + 0.335557i
\(362\) −10.7869 7.54752i −0.566948 0.396689i
\(363\) −11.3944 + 11.3944i −0.598052 + 0.598052i
\(364\) 2.97993 + 12.7539i 0.156191 + 0.668487i
\(365\) −0.985550 0.985550i −0.0515860 0.0515860i
\(366\) −11.8822 + 2.09939i −0.621091 + 0.109737i
\(367\) −15.6233 + 27.0604i −0.815530 + 1.41254i 0.0934159 + 0.995627i \(0.470221\pi\)
−0.908946 + 0.416913i \(0.863112\pi\)
\(368\) 5.51736 15.2244i 0.287612 0.793625i
\(369\) −0.803622 1.39191i −0.0418349 0.0724602i
\(370\) −3.35667 + 9.23233i −0.174505 + 0.479966i
\(371\) 5.37119 7.15673i 0.278858 0.371559i
\(372\) 0.764773 + 8.67224i 0.0396516 + 0.449635i
\(373\) −14.3539 3.84611i −0.743216 0.199144i −0.132709 0.991155i \(-0.542368\pi\)
−0.610507 + 0.792011i \(0.709034\pi\)
\(374\) 0.000566632 0.00650256i 2.92998e−5 0.000336239i
\(375\) 1.26867 + 0.732468i 0.0655139 + 0.0378245i
\(376\) −3.22975 + 5.60752i −0.166561 + 0.289186i
\(377\) 21.2166i 1.09271i
\(378\) 1.15393 + 21.0931i 0.0593515 + 1.08491i
\(379\) −10.7134 + 10.7134i −0.550309 + 0.550309i −0.926530 0.376221i \(-0.877223\pi\)
0.376221 + 0.926530i \(0.377223\pi\)
\(380\) −0.864752 + 4.92419i −0.0443609 + 0.252605i
\(381\) 15.1263 4.05307i 0.774942 0.207645i
\(382\) −13.4862 + 11.3242i −0.690012 + 0.579396i
\(383\) 6.21674 + 10.7677i 0.317661 + 0.550204i 0.979999 0.199000i \(-0.0637694\pi\)
−0.662339 + 0.749204i \(0.730436\pi\)
\(384\) −16.5142 1.40450i −0.842739 0.0716730i
\(385\) 0.0221538 0.0173779i 0.00112906 0.000885662i
\(386\) −17.8059 6.47385i −0.906298 0.329510i
\(387\) −1.96243 + 7.32391i −0.0997562 + 0.372295i
\(388\) 13.5348 4.93690i 0.687128 0.250633i
\(389\) 2.60483 + 9.72136i 0.132070 + 0.492892i 0.999993 0.00380701i \(-0.00121181\pi\)
−0.867923 + 0.496699i \(0.834545\pi\)
\(390\) 2.93979 4.20155i 0.148862 0.212754i
\(391\) 1.75573i 0.0887913i
\(392\) −19.0049 + 5.55110i −0.959891 + 0.280373i
\(393\) 24.3713i 1.22937i
\(394\) 16.1933 + 11.3303i 0.815807 + 0.570813i
\(395\) 4.16436 + 15.5416i 0.209532 + 0.781982i
\(396\) −0.0164783 0.00767007i −0.000828065 0.000385436i
\(397\) −4.97268 + 18.5583i −0.249572 + 0.931414i 0.721458 + 0.692458i \(0.243472\pi\)
−0.971030 + 0.238957i \(0.923195\pi\)
\(398\) −5.00042 + 13.7533i −0.250648 + 0.689393i
\(399\) −7.62322 + 5.97983i −0.381638 + 0.299366i
\(400\) 3.93827 0.700046i 0.196913 0.0350023i
\(401\) 3.81786 + 6.61273i 0.190655 + 0.330224i 0.945467 0.325716i \(-0.105605\pi\)
−0.754812 + 0.655941i \(0.772272\pi\)
\(402\) −7.30925 8.70471i −0.364552 0.434151i
\(403\) −7.10420 + 1.90356i −0.353885 + 0.0948233i
\(404\) −21.6013 30.8044i −1.07470 1.53258i
\(405\) 4.03678 4.03678i 0.200589 0.200589i
\(406\) −32.0247 + 1.75195i −1.58936 + 0.0869478i
\(407\) 0.0739237i 0.00366426i
\(408\) 1.73528 0.466899i 0.0859093 0.0231150i
\(409\) −15.0860 8.70990i −0.745954 0.430677i 0.0782763 0.996932i \(-0.475058\pi\)
−0.824230 + 0.566255i \(0.808392\pi\)
\(410\) −2.65165 0.231064i −0.130956 0.0114115i
\(411\) −15.4162 4.13077i −0.760427 0.203756i
\(412\) 11.7856 14.0653i 0.580634 0.692947i
\(413\) −6.44988 + 8.59402i −0.317378 + 0.422884i
\(414\) 4.59482 + 1.67058i 0.225823 + 0.0821045i
\(415\) −1.31551 2.27852i −0.0645757 0.111848i
\(416\) −1.24447 13.9463i −0.0610151 0.683774i
\(417\) 1.74606 3.02427i 0.0855052 0.148099i
\(418\) −0.00654583 0.0370483i −0.000320167 0.00181209i
\(419\) −0.876622 0.876622i −0.0428258 0.0428258i 0.685370 0.728195i \(-0.259641\pi\)
−0.728195 + 0.685370i \(0.759641\pi\)
\(420\) 6.58464 + 4.09043i 0.321298 + 0.199592i
\(421\) 2.89554 2.89554i 0.141120 0.141120i −0.633018 0.774137i \(-0.718184\pi\)
0.774137 + 0.633018i \(0.218184\pi\)
\(422\) 6.85244 9.79351i 0.333571 0.476740i
\(423\) −1.69202 0.976886i −0.0822686 0.0474978i
\(424\) −6.75710 + 6.77115i −0.328154 + 0.328836i
\(425\) −0.375590 + 0.216847i −0.0182188 + 0.0105186i
\(426\) −23.2044 + 10.8302i −1.12426 + 0.524723i
\(427\) 14.1727 6.04853i 0.685865 0.292709i
\(428\) −33.8424 + 2.98443i −1.63583 + 0.144258i
\(429\) −0.00998733 + 0.0372732i −0.000482193 + 0.00179957i
\(430\) 8.07462 + 9.61620i 0.389393 + 0.463734i
\(431\) −18.7074 + 32.4022i −0.901106 + 1.56076i −0.0750447 + 0.997180i \(0.523910\pi\)
−0.826061 + 0.563581i \(0.809423\pi\)
\(432\) 1.93711 22.5000i 0.0931991 1.08253i
\(433\) 30.5986 1.47047 0.735237 0.677810i \(-0.237071\pi\)
0.735237 + 0.677810i \(0.237071\pi\)
\(434\) −3.45989 10.5660i −0.166080 0.507184i
\(435\) 8.87920 + 8.87920i 0.425725 + 0.425725i
\(436\) −15.9460 + 11.1820i −0.763674 + 0.535518i
\(437\) 2.61922 + 9.77505i 0.125294 + 0.467604i
\(438\) −0.250670 + 2.87663i −0.0119775 + 0.137451i
\(439\) 30.8780 17.8274i 1.47373 0.850857i 0.474165 0.880436i \(-0.342750\pi\)
0.999562 + 0.0295785i \(0.00941652\pi\)
\(440\) −0.0260521 + 0.0150773i −0.00124199 + 0.000718782i
\(441\) −1.67003 5.73971i −0.0795254 0.273319i
\(442\) 0.642060 + 1.37566i 0.0305397 + 0.0654334i
\(443\) −12.8599 3.44580i −0.610993 0.163715i −0.0599630 0.998201i \(-0.519098\pi\)
−0.551030 + 0.834486i \(0.685765\pi\)
\(444\) 19.1197 6.97399i 0.907380 0.330971i
\(445\) 7.83939 2.10056i 0.371623 0.0995760i
\(446\) 0.141763 + 0.802354i 0.00671268 + 0.0379926i
\(447\) 0.216139 0.0102230
\(448\) 20.9480 3.03003i 0.989700 0.143155i
\(449\) 1.34993 0.0637072 0.0318536 0.999493i \(-0.489859\pi\)
0.0318536 + 0.999493i \(0.489859\pi\)
\(450\) 0.210124 + 1.18926i 0.00990533 + 0.0560624i
\(451\) 0.0193471 0.00518404i 0.000911019 0.000244107i
\(452\) 4.06040 1.48105i 0.190985 0.0696627i
\(453\) −25.4199 6.81124i −1.19433 0.320020i
\(454\) −7.10139 15.2152i −0.333285 0.714086i
\(455\) −2.44137 + 6.07662i −0.114453 + 0.284876i
\(456\) 8.96466 5.18817i 0.419809 0.242958i
\(457\) −27.5916 + 15.9300i −1.29068 + 0.745175i −0.978775 0.204937i \(-0.934301\pi\)
−0.311906 + 0.950113i \(0.600968\pi\)
\(458\) −3.36892 + 38.6610i −0.157419 + 1.80651i
\(459\) 0.633733 + 2.36512i 0.0295801 + 0.110394i
\(460\) 6.62917 4.64864i 0.309086 0.216744i
\(461\) −23.6227 23.6227i −1.10022 1.10022i −0.994383 0.105837i \(-0.966248\pi\)
−0.105837 0.994383i \(-0.533752\pi\)
\(462\) −0.0570855 0.0119972i −0.00265586 0.000558161i
\(463\) −25.0510 −1.16422 −0.582110 0.813110i \(-0.697773\pi\)
−0.582110 + 0.813110i \(0.697773\pi\)
\(464\) 34.1607 + 2.94102i 1.58587 + 0.136533i
\(465\) −2.17647 + 3.76976i −0.100932 + 0.174819i
\(466\) 0.444618 + 0.529503i 0.0205965 + 0.0245287i
\(467\) 5.43025 20.2660i 0.251282 0.937797i −0.718839 0.695176i \(-0.755326\pi\)
0.970121 0.242621i \(-0.0780070\pi\)
\(468\) 4.21107 0.371359i 0.194657 0.0171661i
\(469\) 11.6098 + 8.71327i 0.536092 + 0.402341i
\(470\) −2.93195 + 1.36842i −0.135241 + 0.0631207i
\(471\) −20.5782 + 11.8808i −0.948194 + 0.547440i
\(472\) 8.11413 8.13100i 0.373483 0.374259i
\(473\) −0.0818313 0.0472453i −0.00376261 0.00217234i
\(474\) 19.1101 27.3121i 0.877754 1.25449i
\(475\) −1.76760 + 1.76760i −0.0811032 + 0.0811032i
\(476\) −2.02342 + 1.08273i −0.0927434 + 0.0496268i
\(477\) −2.04223 2.04223i −0.0935074 0.0935074i
\(478\) −2.27645 12.8843i −0.104123 0.589315i
\(479\) −6.06390 + 10.5030i −0.277067 + 0.479894i −0.970654 0.240478i \(-0.922696\pi\)
0.693588 + 0.720372i \(0.256029\pi\)
\(480\) −6.35737 5.31574i −0.290173 0.242629i
\(481\) 8.59671 + 14.8899i 0.391976 + 0.678923i
\(482\) −15.2245 5.53530i −0.693458 0.252126i
\(483\) 15.5775 + 1.88191i 0.708799 + 0.0856300i
\(484\) −14.1295 + 16.8626i −0.642251 + 0.766481i
\(485\) 6.95810 + 1.86442i 0.315951 + 0.0846589i
\(486\) 12.0801 + 1.05266i 0.547965 + 0.0477496i
\(487\) −2.40368 1.38776i −0.108921 0.0628856i 0.444550 0.895754i \(-0.353364\pi\)
−0.553471 + 0.832869i \(0.686697\pi\)
\(488\) −15.9076 + 4.28014i −0.720104 + 0.193753i
\(489\) 20.8609i 0.943360i
\(490\) −9.37373 3.18327i −0.423462 0.143805i
\(491\) 4.10241 4.10241i 0.185139 0.185139i −0.608452 0.793591i \(-0.708209\pi\)
0.793591 + 0.608452i \(0.208209\pi\)
\(492\) 3.16601 + 4.51488i 0.142735 + 0.203547i
\(493\) −3.59085 + 0.962166i −0.161724 + 0.0433338i
\(494\) 5.62689 + 6.70115i 0.253166 + 0.301499i
\(495\) −0.00454398 0.00787040i −0.000204237 0.000353748i
\(496\) 2.08014 + 11.7023i 0.0934008 + 0.525447i
\(497\) 25.7306 20.1837i 1.15418 0.905364i
\(498\) −1.86250 + 5.12268i −0.0834604 + 0.229553i
\(499\) −4.25522 + 15.8807i −0.190490 + 0.710918i 0.802899 + 0.596116i \(0.203290\pi\)
−0.993388 + 0.114802i \(0.963377\pi\)
\(500\) 1.81320 + 0.843981i 0.0810888 + 0.0377440i
\(501\) −3.99032 14.8921i −0.178274 0.665329i
\(502\) 18.4428 + 12.9043i 0.823142 + 0.575945i
\(503\) 13.2964i 0.592855i 0.955055 + 0.296428i \(0.0957954\pi\)
−0.955055 + 0.296428i \(0.904205\pi\)
\(504\) 0.908261 + 6.32559i 0.0404572 + 0.281764i
\(505\) 18.8118i 0.837112i
\(506\) −0.0349297 + 0.0499215i −0.00155281 + 0.00221928i
\(507\) 2.60611 + 9.72613i 0.115741 + 0.431952i
\(508\) 20.0852 7.32615i 0.891135 0.325045i
\(509\) 7.19297 26.8445i 0.318823 1.18986i −0.601555 0.798832i \(-0.705452\pi\)
0.920377 0.391031i \(-0.127882\pi\)
\(510\) 0.844419 + 0.307012i 0.0373915 + 0.0135947i
\(511\) −0.520317 3.65070i −0.0230175 0.161497i
\(512\) −22.6273 + 0.0704910i −0.999995 + 0.00311529i
\(513\) 7.05661 + 12.2224i 0.311557 + 0.539633i
\(514\) −32.0387 + 26.9026i −1.41317 + 1.18662i
\(515\) 8.86250 2.37470i 0.390528 0.104642i
\(516\) 4.49957 25.6220i 0.198083 1.12795i
\(517\) 0.0172166 0.0172166i 0.000757187 0.000757187i
\(518\) −21.7652 + 14.2055i −0.956309 + 0.624155i
\(519\) 14.1767i 0.622290i
\(520\) 3.49413 6.06656i 0.153228 0.266036i
\(521\) −17.4494 10.0744i −0.764471 0.441367i 0.0664279 0.997791i \(-0.478840\pi\)
−0.830899 + 0.556424i \(0.812173\pi\)
\(522\) −0.898664 + 10.3129i −0.0393335 + 0.451383i
\(523\) 1.87682 + 0.502892i 0.0820676 + 0.0219899i 0.299619 0.954059i \(-0.403140\pi\)
−0.217552 + 0.976049i \(0.569807\pi\)
\(524\) −2.92287 33.1443i −0.127686 1.44791i
\(525\) 1.52136 + 3.56479i 0.0663975 + 0.155580i
\(526\) 5.75162 15.8195i 0.250782 0.689762i
\(527\) −0.644345 1.11604i −0.0280681 0.0486154i
\(528\) 0.0586288 + 0.0212473i 0.00255149 + 0.000924668i
\(529\) −3.30554 + 5.72537i −0.143719 + 0.248929i
\(530\) −4.71001 + 0.832183i −0.204590 + 0.0361477i
\(531\) 2.45237 + 2.45237i 0.106424 + 0.106424i
\(532\) −9.65018 + 9.04665i −0.418388 + 0.392222i
\(533\) −3.29409 + 3.29409i −0.142683 + 0.142683i
\(534\) −13.7766 9.63937i −0.596171 0.417136i
\(535\) −14.7110 8.49343i −0.636014 0.367203i
\(536\) −10.9843 10.9615i −0.474450 0.473466i
\(537\) 1.77808 1.02657i 0.0767298 0.0442999i
\(538\) −16.2725 34.8650i −0.701557 1.50314i
\(539\) 0.0744779 0.00158995i 0.00320799 6.84838e-5i
\(540\) 7.25212 8.65490i 0.312082 0.372448i
\(541\) −2.53145 + 9.44749i −0.108835 + 0.406179i −0.998752 0.0499440i \(-0.984096\pi\)
0.889917 + 0.456123i \(0.150762\pi\)
\(542\) 28.0973 23.5930i 1.20688 1.01341i
\(543\) −6.81870 + 11.8103i −0.292618 + 0.506830i
\(544\) 2.30394 0.843082i 0.0987804 0.0361469i
\(545\) −9.73794 −0.417128
\(546\) 12.8935 4.22205i 0.551791 0.180687i
\(547\) −14.0592 14.0592i −0.601127 0.601127i 0.339484 0.940612i \(-0.389747\pi\)
−0.940612 + 0.339484i \(0.889747\pi\)
\(548\) −21.4610 3.76884i −0.916770 0.160997i
\(549\) −1.28728 4.80418i −0.0549396 0.205037i
\(550\) −0.0149934 0.00130652i −0.000639321 5.57104e-5i
\(551\) −18.5567 + 10.7137i −0.790542 + 0.456419i
\(552\) −16.2070 4.32463i −0.689817 0.184068i
\(553\) −15.8701 + 39.5009i −0.674864 + 1.67975i
\(554\) 3.39797 1.58593i 0.144366 0.0673797i
\(555\) 9.82920 + 2.63373i 0.417226 + 0.111795i
\(556\) 2.01189 4.32232i 0.0853232 0.183307i
\(557\) −21.7933 + 5.83949i −0.923411 + 0.247427i −0.689043 0.724721i \(-0.741969\pi\)
−0.234368 + 0.972148i \(0.575302\pi\)
\(558\) −3.53381 + 0.624367i −0.149598 + 0.0264316i
\(559\) 21.9769 0.929525
\(560\) 9.44547 + 4.77315i 0.399144 + 0.201703i
\(561\) −0.00676131 −0.000285463
\(562\) −36.6146 + 6.46921i −1.54449 + 0.272887i
\(563\) −22.8543 + 6.12378i −0.963192 + 0.258087i −0.705951 0.708261i \(-0.749480\pi\)
−0.257241 + 0.966347i \(0.582813\pi\)
\(564\) 6.07715 + 2.82870i 0.255894 + 0.119110i
\(565\) 2.08741 + 0.559319i 0.0878178 + 0.0235307i
\(566\) −36.3995 + 16.9887i −1.52998 + 0.714088i
\(567\) 14.9531 2.13120i 0.627972 0.0895020i
\(568\) −30.2584 + 17.5116i −1.26961 + 0.734771i
\(569\) −10.2073 + 5.89319i −0.427913 + 0.247056i −0.698457 0.715652i \(-0.746130\pi\)
0.270544 + 0.962708i \(0.412796\pi\)
\(570\) 5.15930 + 0.449581i 0.216099 + 0.0188309i
\(571\) 4.72497 + 17.6338i 0.197734 + 0.737953i 0.991542 + 0.129785i \(0.0414287\pi\)
−0.793808 + 0.608168i \(0.791905\pi\)
\(572\) −0.00911226 + 0.0518882i −0.000381003 + 0.00216956i
\(573\) 12.8988 + 12.8988i 0.538855 + 0.538855i
\(574\) −5.24415 4.70014i −0.218887 0.196180i
\(575\) 4.04832 0.168827
\(576\) −0.0141885 6.83168i −0.000591187 0.284653i
\(577\) 17.0445 29.5220i 0.709574 1.22902i −0.255442 0.966824i \(-0.582221\pi\)
0.965015 0.262193i \(-0.0844457\pi\)
\(578\) 18.2079 15.2890i 0.757349 0.635938i
\(579\) −5.07953 + 18.9571i −0.211098 + 0.787829i
\(580\) 13.1403 + 11.0105i 0.545622 + 0.457188i
\(581\) 0.834889 6.91076i 0.0346370 0.286707i
\(582\) −6.31177 13.5234i −0.261631 0.560564i
\(583\) 0.0311703 0.0179962i 0.00129094 0.000745325i
\(584\) 0.00409371 + 3.94220i 0.000169399 + 0.163129i
\(585\) 1.83052 + 1.05685i 0.0756829 + 0.0436955i
\(586\) −6.64179 4.64721i −0.274370 0.191974i
\(587\) −12.8514 + 12.8514i −0.530432 + 0.530432i −0.920701 0.390269i \(-0.872382\pi\)
0.390269 + 0.920701i \(0.372382\pi\)
\(588\) 7.43749 + 19.1130i 0.306717 + 0.788207i
\(589\) −5.25230 5.25230i −0.216417 0.216417i
\(590\) 5.65592 0.999310i 0.232850 0.0411409i
\(591\) 10.2362 17.7297i 0.421062 0.729300i
\(592\) 25.1658 11.7774i 1.03431 0.484050i
\(593\) −4.43828 7.68732i −0.182258 0.315680i 0.760391 0.649466i \(-0.225007\pi\)
−0.942649 + 0.333785i \(0.891674\pi\)
\(594\) −0.0290340 + 0.0798564i −0.00119128 + 0.00327655i
\(595\) −1.13916 0.137622i −0.0467012 0.00564197i
\(596\) 0.293943 0.0259217i 0.0120404 0.00106179i
\(597\) 14.6425 + 3.92345i 0.599278 + 0.160576i
\(598\) 1.23019 14.1174i 0.0503061 0.577302i
\(599\) 15.1682 + 8.75738i 0.619757 + 0.357817i 0.776774 0.629779i \(-0.216855\pi\)
−0.157017 + 0.987596i \(0.550188\pi\)
\(600\) −1.07656 4.00116i −0.0439505 0.163347i
\(601\) 32.9970i 1.34597i −0.739654 0.672987i \(-0.765011\pi\)
0.739654 0.672987i \(-0.234989\pi\)
\(602\) 1.81473 + 33.1723i 0.0739629 + 1.35200i
\(603\) 3.31296 3.31296i 0.134914 0.134914i
\(604\) −35.3872 6.21445i −1.43988 0.252863i
\(605\) −10.6251 + 2.84698i −0.431971 + 0.115746i
\(606\) −29.8463 + 25.0617i −1.21242 + 1.01806i
\(607\) −18.5141 32.0674i −0.751464 1.30157i −0.947113 0.320900i \(-0.896015\pi\)
0.195649 0.980674i \(-0.437319\pi\)
\(608\) 11.5694 8.13089i 0.469203 0.329751i
\(609\) 4.68774 + 32.8905i 0.189957 + 1.33279i
\(610\) −7.74092 2.81443i −0.313421 0.113953i
\(611\) −1.46568 + 5.46998i −0.0592949 + 0.221292i
\(612\) 0.253822 + 0.695870i 0.0102601 + 0.0281289i
\(613\) −4.84447 18.0798i −0.195666 0.730236i −0.992093 0.125502i \(-0.959946\pi\)
0.796427 0.604734i \(-0.206721\pi\)
\(614\) −12.8028 + 18.2978i −0.516679 + 0.738438i
\(615\) 2.75716i 0.111180i
\(616\) −0.0790733 0.00946955i −0.00318595 0.000381539i
\(617\) 5.94910i 0.239502i 0.992804 + 0.119751i \(0.0382096\pi\)
−0.992804 + 0.119751i \(0.961790\pi\)
\(618\) −15.5746 10.8974i −0.626501 0.438358i
\(619\) 4.63091 + 17.2828i 0.186132 + 0.694654i 0.994385 + 0.105819i \(0.0337466\pi\)
−0.808253 + 0.588835i \(0.799587\pi\)
\(620\) −2.50783 + 5.38779i −0.100717 + 0.216379i
\(621\) 5.91558 22.0773i 0.237384 0.885930i
\(622\) 10.9713 30.1760i 0.439910 1.20995i
\(623\) 19.9248 + 8.00507i 0.798270 + 0.320717i
\(624\) −14.2801 + 2.53835i −0.571660 + 0.101615i
\(625\) 0.500000 + 0.866025i 0.0200000 + 0.0346410i
\(626\) −11.0559 13.1666i −0.441882 0.526244i
\(627\) −0.0376436 + 0.0100866i −0.00150334 + 0.000402818i
\(628\) −26.5609 + 18.6255i −1.05989 + 0.743239i
\(629\) −2.13022 + 2.13022i −0.0849374 + 0.0849374i
\(630\) −1.44408 + 2.85029i −0.0575334 + 0.113558i
\(631\) 9.09942i 0.362242i 0.983461 + 0.181121i \(0.0579726\pi\)
−0.983461 + 0.181121i \(0.942027\pi\)
\(632\) 22.7135 39.4355i 0.903496 1.56866i
\(633\) −10.7227 6.19074i −0.426188 0.246060i
\(634\) 40.9833 + 3.57128i 1.62765 + 0.141834i
\(635\) 10.3255 + 2.76672i 0.409757 + 0.109794i
\(636\) 7.59516 + 6.36414i 0.301167 + 0.252354i
\(637\) −14.8167 + 8.98140i −0.587057 + 0.355856i
\(638\) −0.121242 0.0440810i −0.00480002 0.00174518i
\(639\) −5.27763 9.14113i −0.208780 0.361617i
\(640\) −9.28334 6.46680i −0.366956 0.255623i
\(641\) −2.82198 + 4.88781i −0.111461 + 0.193057i −0.916360 0.400356i \(-0.868886\pi\)
0.804898 + 0.593413i \(0.202220\pi\)
\(642\) 6.12306 + 34.6555i 0.241658 + 1.36774i
\(643\) 12.8716 + 12.8716i 0.507607 + 0.507607i 0.913791 0.406184i \(-0.133141\pi\)
−0.406184 + 0.913791i \(0.633141\pi\)
\(644\) 21.4106 + 0.691129i 0.843694 + 0.0272343i
\(645\) 9.19738 9.19738i 0.362147 0.362147i
\(646\) −0.878973 + 1.25623i −0.0345827 + 0.0494256i
\(647\) −4.15738 2.40027i −0.163444 0.0943642i 0.416047 0.909343i \(-0.363415\pi\)
−0.579491 + 0.814979i \(0.696748\pi\)
\(648\) −16.1471 + 0.0167677i −0.634318 + 0.000658697i
\(649\) −0.0374302 + 0.0216103i −0.00146926 + 0.000848279i
\(650\) 3.17196 1.48044i 0.124414 0.0580678i
\(651\) −10.5925 + 4.52060i −0.415153 + 0.177176i
\(652\) 2.50186 + 28.3701i 0.0979802 + 1.11106i
\(653\) 11.0742 41.3297i 0.433369 1.61735i −0.311571 0.950223i \(-0.600855\pi\)
0.744940 0.667132i \(-0.232478\pi\)
\(654\) 12.9732 + 15.4500i 0.507293 + 0.604143i
\(655\) 8.31822 14.4076i 0.325020 0.562951i
\(656\) 4.84715 + 5.76040i 0.189250 + 0.224906i
\(657\) −1.19023 −0.0464354
\(658\) −8.37750 1.76063i −0.326589 0.0686367i
\(659\) 17.3420 + 17.3420i 0.675549 + 0.675549i 0.958990 0.283441i \(-0.0914759\pi\)
−0.283441 + 0.958990i \(0.591476\pi\)
\(660\) 0.0179018 + 0.0255288i 0.000696827 + 0.000993708i
\(661\) −8.44361 31.5120i −0.328418 1.22567i −0.910831 0.412780i \(-0.864558\pi\)
0.582412 0.812894i \(-0.302109\pi\)
\(662\) 2.62507 30.1248i 0.102026 1.17083i
\(663\) 1.36188 0.786283i 0.0528911 0.0305367i
\(664\) −1.91857 + 7.19006i −0.0744549 + 0.279028i
\(665\) −6.54760 + 0.933200i −0.253905 + 0.0361880i
\(666\) 3.54797 + 7.60177i 0.137481 + 0.294563i
\(667\) 33.5188 + 8.98134i 1.29785 + 0.347759i
\(668\) −7.21273 19.7742i −0.279069 0.765087i
\(669\) 0.815246 0.218445i 0.0315192 0.00844555i
\(670\) −1.34999 7.64069i −0.0521545 0.295186i
\(671\) 0.0619820 0.00239279
\(672\) −5.01059 21.3449i −0.193288 0.823399i
\(673\) −32.4201 −1.24970 −0.624851 0.780744i \(-0.714840\pi\)
−0.624851 + 0.780744i \(0.714840\pi\)
\(674\) 5.96492 + 33.7604i 0.229760 + 1.30040i
\(675\) 5.45343 1.46124i 0.209903 0.0562433i
\(676\) 4.71069 + 12.9147i 0.181180 + 0.496718i
\(677\) 37.7026 + 10.1024i 1.44903 + 0.388266i 0.895686 0.444687i \(-0.146685\pi\)
0.553343 + 0.832953i \(0.313352\pi\)
\(678\) −1.89351 4.05697i −0.0727197 0.155807i
\(679\) 11.7630 + 14.9957i 0.451422 + 0.575482i
\(680\) 1.18520 + 0.316256i 0.0454505 + 0.0121279i
\(681\) −15.0629 + 8.69654i −0.577210 + 0.333252i
\(682\) 0.00388224 0.0445518i 0.000148659 0.00170598i
\(683\) 4.17917 + 15.5969i 0.159911 + 0.596798i 0.998635 + 0.0522396i \(0.0166360\pi\)
−0.838723 + 0.544558i \(0.816697\pi\)
\(684\) 2.45126 + 3.49560i 0.0937261 + 0.133658i
\(685\) −7.70373 7.70373i −0.294344 0.294344i
\(686\) −14.7801 21.6228i −0.564308 0.825564i
\(687\) 40.1994 1.53370
\(688\) 3.04641 35.3848i 0.116143 1.34903i
\(689\) −4.18561 + 7.24968i −0.159459 + 0.276191i
\(690\) −5.39331 6.42298i −0.205320 0.244519i
\(691\) −9.25618 + 34.5445i −0.352122 + 1.31414i 0.531947 + 0.846778i \(0.321461\pi\)
−0.884068 + 0.467358i \(0.845206\pi\)
\(692\) −1.70023 19.2799i −0.0646329 0.732913i
\(693\) 0.00288385 0.0238709i 0.000109548 0.000906781i
\(694\) 15.7607 7.35597i 0.598268 0.279229i
\(695\) 2.06444 1.19190i 0.0783087 0.0452115i
\(696\) −0.0368818 35.5168i −0.00139800 1.34626i
\(697\) −0.706900 0.408129i −0.0267758 0.0154590i
\(698\) 28.3594 40.5312i 1.07342 1.53413i
\(699\) 0.506442 0.506442i 0.0191554 0.0191554i
\(700\) 2.49653 + 4.66555i 0.0943598 + 0.176341i
\(701\) −26.4985 26.4985i −1.00083 1.00083i −1.00000 0.000835295i \(-0.999734\pi\)
−0.000835295 1.00000i \(-0.500266\pi\)
\(702\) −3.43850 19.4613i −0.129778 0.734521i
\(703\) −8.68212 + 15.0379i −0.327452 + 0.567164i
\(704\) 0.0822816 + 0.0218642i 0.00310110 + 0.000824039i
\(705\) 1.67581 + 2.90258i 0.0631146 + 0.109318i
\(706\) −8.84907 3.21733i −0.333039 0.121086i
\(707\) 29.8757 39.8073i 1.12359 1.49711i
\(708\) −9.12049 7.64224i −0.342769 0.287213i
\(709\) −21.9999 5.89484i −0.826222 0.221385i −0.179157 0.983820i \(-0.557337\pi\)
−0.647065 + 0.762435i \(0.724004\pi\)
\(710\) −17.4142 1.51747i −0.653543 0.0569496i
\(711\) 11.8993 + 6.87005i 0.446258 + 0.257647i
\(712\) −19.8918 11.4570i −0.745477 0.429370i
\(713\) 12.0293i 0.450500i
\(714\) 1.29928 + 1.99072i 0.0486245 + 0.0745008i
\(715\) −0.0186260 + 0.0186260i −0.000696573 + 0.000696573i
\(716\) 2.29501 1.60936i 0.0857687 0.0601444i
\(717\) −13.0913 + 3.50782i −0.488905 + 0.131002i
\(718\) −11.3774 13.5495i −0.424600 0.505663i
\(719\) 16.5543 + 28.6729i 0.617370 + 1.06932i 0.989964 + 0.141322i \(0.0451353\pi\)
−0.372593 + 0.927995i \(0.621531\pi\)
\(720\) 1.95537 2.80081i 0.0728724 0.104380i
\(721\) 22.5252 + 9.04981i 0.838881 + 0.337033i
\(722\) 6.16173 16.9475i 0.229316 0.630719i
\(723\) −4.34313 + 16.2088i −0.161523 + 0.602811i
\(724\) −7.85680 + 16.8795i −0.291996 + 0.627320i
\(725\) 2.21853 + 8.27968i 0.0823943 + 0.307500i
\(726\) 18.6720 + 13.0647i 0.692984 + 0.484875i
\(727\) 29.4460i 1.09209i −0.837755 0.546046i \(-0.816132\pi\)
0.837755 0.546046i \(-0.183868\pi\)
\(728\) 17.0284 7.28818i 0.631115 0.270118i
\(729\) 29.6874i 1.09953i
\(730\) −1.13002 + 1.61502i −0.0418238 + 0.0597746i
\(731\) 0.996645 + 3.71953i 0.0368623 + 0.137572i
\(732\) 5.84740 + 16.0311i 0.216126 + 0.592525i
\(733\) 0.174701 0.651995i 0.00645275 0.0240820i −0.962624 0.270840i \(-0.912699\pi\)
0.969077 + 0.246758i \(0.0793653\pi\)
\(734\) 41.5297 + 15.0993i 1.53289 + 0.557325i
\(735\) −2.44206 + 9.95953i −0.0900769 + 0.367363i
\(736\) −22.5597 3.93764i −0.831562 0.145143i
\(737\) 0.0291938 + 0.0505651i 0.00107537 + 0.00186259i
\(738\) −1.74070 + 1.46165i −0.0640762 + 0.0538041i
\(739\) −36.8630 + 9.87742i −1.35603 + 0.363347i −0.862356 0.506302i \(-0.831012\pi\)
−0.493672 + 0.869648i \(0.664346\pi\)
\(740\) 13.6833 + 2.40296i 0.503007 + 0.0883347i
\(741\) 6.40930 6.40930i 0.235451 0.235451i
\(742\) −11.2884 5.71918i −0.414410 0.209958i
\(743\) 3.43756i 0.126112i 0.998010 + 0.0630559i \(0.0200847\pi\)
−0.998010 + 0.0630559i \(0.979915\pi\)
\(744\) 11.8892 3.19893i 0.435878 0.117278i
\(745\) 0.127775 + 0.0737708i 0.00468131 + 0.00270275i
\(746\) −1.82438 + 20.9362i −0.0667952 + 0.766529i
\(747\) −2.17023 0.581511i −0.0794044 0.0212764i
\(748\) −0.00919517 0.000810888i −0.000336209 2.96490e-5i
\(749\) −17.6411 41.3360i −0.644591 1.51038i
\(750\) 0.707900 1.94704i 0.0258489 0.0710957i
\(751\) −13.6842 23.7018i −0.499345 0.864890i 0.500655 0.865647i \(-0.333092\pi\)
−1.00000 0.000756715i \(0.999759\pi\)
\(752\) 8.60399 + 3.11811i 0.313755 + 0.113706i
\(753\) 11.6582 20.1925i 0.424847 0.735857i
\(754\) 29.5472 5.22051i 1.07605 0.190120i
\(755\) −12.7027 12.7027i −0.462299 0.462299i
\(756\) 29.0913 6.79714i 1.05804 0.247209i
\(757\) 2.33107 2.33107i 0.0847242 0.0847242i −0.663475 0.748199i \(-0.730919\pi\)
0.748199 + 0.663475i \(0.230919\pi\)
\(758\) 17.5560 + 12.2838i 0.637663 + 0.446167i
\(759\) 0.0546578 + 0.0315567i 0.00198395 + 0.00114544i
\(760\) 7.07041 0.00734215i 0.256471 0.000266328i
\(761\) −10.2919 + 5.94203i −0.373081 + 0.215398i −0.674804 0.737997i \(-0.735772\pi\)
0.301723 + 0.953396i \(0.402438\pi\)
\(762\) −9.36641 20.0682i −0.339309 0.726994i
\(763\) −20.6063 15.4652i −0.745999 0.559878i
\(764\) 19.0889 + 15.9950i 0.690613 + 0.578679i
\(765\) −0.0958558 + 0.357739i −0.00346567 + 0.0129341i
\(766\) 13.4659 11.3072i 0.486543 0.408545i
\(767\) 5.02620 8.70563i 0.181486 0.314342i
\(768\) 2.10749 + 23.3440i 0.0760476 + 0.842356i
\(769\) 43.0376 1.55198 0.775988 0.630748i \(-0.217252\pi\)
0.775988 + 0.630748i \(0.217252\pi\)
\(770\) −0.0296524 0.0265763i −0.00106860 0.000957744i
\(771\) 30.6434 + 30.6434i 1.10359 + 1.10359i
\(772\) −4.63448 + 26.3902i −0.166798 + 0.949806i
\(773\) 13.8106 + 51.5419i 0.496733 + 1.85383i 0.520101 + 0.854105i \(0.325894\pi\)
−0.0233686 + 0.999727i \(0.507439\pi\)
\(774\) 10.6825 + 0.930868i 0.383973 + 0.0334594i
\(775\) −2.57333 + 1.48571i −0.0924367 + 0.0533684i
\(776\) −10.2057 17.6345i −0.366363 0.633040i
\(777\) 16.6167 + 21.1833i 0.596121 + 0.759947i
\(778\) 12.8974 6.01961i 0.462396 0.215814i
\(779\) −4.54452 1.21770i −0.162824 0.0436286i
\(780\) −6.57463 3.06026i −0.235409 0.109575i
\(781\) 0.127058 0.0340451i 0.00454650 0.00121823i
\(782\) 2.44511 0.432012i 0.0874370 0.0154487i
\(783\) 48.3945 1.72948
\(784\) 12.4070 + 25.1011i 0.443107 + 0.896469i
\(785\) −16.2203 −0.578926
\(786\) −33.9406 + 5.99675i −1.21062 + 0.213897i
\(787\) −35.3960 + 9.48434i −1.26173 + 0.338080i −0.826858 0.562411i \(-0.809874\pi\)
−0.434875 + 0.900491i \(0.643207\pi\)
\(788\) 11.7946 25.3394i 0.420166 0.902679i
\(789\) −16.8422 4.51286i −0.599599 0.160662i
\(790\) 20.6192 9.62359i 0.733599 0.342392i
\(791\) 3.52885 + 4.49865i 0.125472 + 0.159954i
\(792\) −0.00662706 + 0.0248357i −0.000235482 + 0.000882497i
\(793\) −12.4846 + 7.20798i −0.443341 + 0.255963i
\(794\) 27.0687 + 2.35876i 0.960631 + 0.0837093i
\(795\) 1.28232 + 4.78569i 0.0454792 + 0.169731i
\(796\) 20.3839 + 3.57968i 0.722488 + 0.126878i
\(797\) 22.6024 + 22.6024i 0.800620 + 0.800620i 0.983192 0.182573i \(-0.0584425\pi\)
−0.182573 + 0.983192i \(0.558442\pi\)
\(798\) 10.2035 + 9.14504i 0.361201 + 0.323731i
\(799\) −0.992246 −0.0351031
\(800\) −1.94396 5.31235i −0.0687292 0.187820i
\(801\) 3.46535 6.00216i 0.122442 0.212076i
\(802\) 8.26977 6.94404i 0.292016 0.245202i
\(803\) 0.00383900 0.0143273i 0.000135475 0.000505601i
\(804\) −10.3241 + 12.3210i −0.364101 + 0.434530i
\(805\) 8.56659 + 6.42930i 0.301933 + 0.226603i
\(806\) 4.39903 + 9.42523i 0.154949 + 0.331990i
\(807\) −34.5158 + 19.9277i −1.21501 + 0.701489i
\(808\) −37.5844 + 37.6626i −1.32222 + 1.32496i
\(809\) 42.4255 + 24.4943i 1.49160 + 0.861175i 0.999954 0.00962001i \(-0.00306219\pi\)
0.491646 + 0.870795i \(0.336396\pi\)
\(810\) −6.61507 4.62851i −0.232430 0.162629i
\(811\) −24.0854 + 24.0854i −0.845752 + 0.845752i −0.989600 0.143848i \(-0.954052\pi\)
0.143848 + 0.989600i \(0.454052\pi\)
\(812\) 10.3198 + 44.1679i 0.362153 + 1.54999i
\(813\) −26.8736 26.8736i −0.942499 0.942499i
\(814\) −0.102949 + 0.0181895i −0.00360837 + 0.000637541i
\(815\) −7.12005 + 12.3323i −0.249405 + 0.431981i
\(816\) −1.07720 2.30175i −0.0377097 0.0805772i
\(817\) 11.0976 + 19.2217i 0.388257 + 0.672481i
\(818\) −8.41776 + 23.1525i −0.294320 + 0.809509i
\(819\) 2.19511 + 5.14352i 0.0767035 + 0.179729i
\(820\) 0.330668 + 3.74966i 0.0115474 + 0.130944i
\(821\) 23.5395 + 6.30739i 0.821535 + 0.220130i 0.645017 0.764168i \(-0.276850\pi\)
0.176517 + 0.984298i \(0.443517\pi\)
\(822\) −1.95940 + 22.4857i −0.0683421 + 0.784280i
\(823\) 13.9728 + 8.06718i 0.487060 + 0.281204i 0.723354 0.690477i \(-0.242600\pi\)
−0.236294 + 0.971682i \(0.575933\pi\)
\(824\) −22.4879 12.9523i −0.783402 0.451213i
\(825\) 0.0155900i 0.000542775i
\(826\) 13.5554 + 6.86776i 0.471654 + 0.238960i
\(827\) 15.9905 15.9905i 0.556044 0.556044i −0.372135 0.928179i \(-0.621374\pi\)
0.928179 + 0.372135i \(0.121374\pi\)
\(828\) 1.19593 6.81001i 0.0415614 0.236664i
\(829\) 14.4394 3.86902i 0.501500 0.134377i 0.000804155 1.00000i \(-0.499744\pi\)
0.500696 + 0.865623i \(0.333077\pi\)
\(830\) −2.84948 + 2.39268i −0.0989069 + 0.0830511i
\(831\) −1.94217 3.36394i −0.0673731 0.116694i
\(832\) −19.1160 + 5.16470i −0.662729 + 0.179054i
\(833\) −2.19201 2.10037i −0.0759485 0.0727736i
\(834\) −4.64137 1.68750i −0.160717 0.0584333i
\(835\) 2.72389 10.1657i 0.0942640 0.351798i
\(836\) −0.0499844 + 0.0182320i −0.00172875 + 0.000630568i
\(837\) 4.34197 + 16.2045i 0.150081 + 0.560108i
\(838\) −1.00512 + 1.43652i −0.0347214 + 0.0496238i
\(839\) 45.8695i 1.58359i −0.610785 0.791796i \(-0.709146\pi\)
0.610785 0.791796i \(-0.290854\pi\)
\(840\) 4.07630 10.1765i 0.140646 0.351124i
\(841\) 44.4750i 1.53362i
\(842\) −4.74492 3.31998i −0.163521 0.114414i
\(843\) 9.96849 + 37.2029i 0.343333 + 1.28134i
\(844\) −15.3250 7.13323i −0.527507 0.245536i
\(845\) −1.77899 + 6.63928i −0.0611991 + 0.228398i
\(846\) −0.944120 + 2.59675i −0.0324595 + 0.0892779i
\(847\) −27.0050 10.8496i −0.927901 0.372798i
\(848\) 11.0924 + 7.74414i 0.380916 + 0.265935i
\(849\) 20.8048 + 36.0349i 0.714018 + 1.23672i
\(850\) 0.394408 + 0.469706i 0.0135281 + 0.0161108i
\(851\) 27.1628 7.27825i 0.931129 0.249495i
\(852\) 20.7922 + 29.6506i 0.712328 + 1.01581i
\(853\) 14.4442 14.4442i 0.494561 0.494561i −0.415179 0.909740i \(-0.636281\pi\)
0.909740 + 0.415179i \(0.136281\pi\)
\(854\) −11.9107 18.2492i −0.407577 0.624476i
\(855\) 2.13471i 0.0730055i
\(856\) 12.4834 + 46.3960i 0.426675 + 1.58578i
\(857\) −19.9097 11.4949i −0.680102 0.392657i 0.119792 0.992799i \(-0.461777\pi\)
−0.799893 + 0.600142i \(0.795111\pi\)
\(858\) 0.0543658 + 0.00473743i 0.00185602 + 0.000161733i
\(859\) −20.2828 5.43475i −0.692039 0.185431i −0.104377 0.994538i \(-0.533285\pi\)
−0.587662 + 0.809106i \(0.699952\pi\)
\(860\) 11.4051 13.6112i 0.388911 0.464138i
\(861\) −4.37876 + 5.83439i −0.149228 + 0.198836i
\(862\) 49.7279 + 18.0800i 1.69374 + 0.615806i
\(863\) −5.79652 10.0399i −0.197316 0.341761i 0.750341 0.661050i \(-0.229889\pi\)
−0.947657 + 0.319290i \(0.896556\pi\)
\(864\) −31.8111 + 2.83860i −1.08224 + 0.0965711i
\(865\) 4.83869 8.38085i 0.164520 0.284958i
\(866\) −7.52902 42.6129i −0.255847 1.44805i
\(867\) −17.4149 17.4149i −0.591441 0.591441i
\(868\) −13.8633 + 7.41824i −0.470552 + 0.251792i
\(869\) −0.121078 + 0.121078i −0.00410729 + 0.00410729i
\(870\) 10.1808 14.5503i 0.345160 0.493303i
\(871\) −11.7606 6.78999i −0.398493 0.230070i
\(872\) 19.4961 + 19.4557i 0.660221 + 0.658851i
\(873\) 5.32741 3.07578i 0.180306 0.104099i
\(874\) 12.9687 6.05286i 0.438672 0.204741i
\(875\) −0.317326 + 2.62665i −0.0107276 + 0.0887971i
\(876\) 4.06781 0.358725i 0.137438 0.0121202i
\(877\) −8.84566 + 33.0124i −0.298697 + 1.11475i 0.639540 + 0.768757i \(0.279125\pi\)
−0.938237 + 0.345993i \(0.887542\pi\)
\(878\) −32.4250 38.6155i −1.09429 1.30321i
\(879\) −4.19845 + 7.27194i −0.141610 + 0.245276i
\(880\) 0.0274076 + 0.0325714i 0.000923910 + 0.00109798i
\(881\) −16.9705 −0.571750 −0.285875 0.958267i \(-0.592284\pi\)
−0.285875 + 0.958267i \(0.592284\pi\)
\(882\) −7.58244 + 3.73806i −0.255314 + 0.125867i
\(883\) 7.08775 + 7.08775i 0.238522 + 0.238522i 0.816238 0.577716i \(-0.196056\pi\)
−0.577716 + 0.816238i \(0.696056\pi\)
\(884\) 1.75782 1.23265i 0.0591218 0.0414586i
\(885\) −1.53985 5.74680i −0.0517615 0.193176i
\(886\) −1.63449 + 18.7571i −0.0549119 + 0.630158i
\(887\) −0.0303857 + 0.0175432i −0.00102025 + 0.000589043i −0.500510 0.865731i \(-0.666854\pi\)
0.499490 + 0.866320i \(0.333521\pi\)
\(888\) −14.4168 24.9109i −0.483797 0.835955i
\(889\) 17.4558 + 22.2530i 0.585448 + 0.746342i
\(890\) −4.85427 10.4006i −0.162715 0.348629i
\(891\) 0.0586843 + 0.0157244i 0.00196600 + 0.000526787i
\(892\) 1.08251 0.394851i 0.0362452 0.0132206i
\(893\) −5.52433 + 1.48024i −0.184865 + 0.0495343i
\(894\) −0.0531827 0.301005i −0.00177870 0.0100671i
\(895\) 1.40153 0.0468479
\(896\) −9.37417 28.4275i −0.313169 0.949697i
\(897\) −14.6791 −0.490122
\(898\) −0.332161 1.87997i −0.0110844 0.0627356i
\(899\) −24.6025 + 6.59221i −0.820538 + 0.219862i
\(900\) 1.60452 0.585255i 0.0534839 0.0195085i
\(901\) −1.41680 0.379631i −0.0472005 0.0126473i
\(902\) −0.0119800 0.0256680i −0.000398891 0.000854652i
\(903\) 34.0692 4.85573i 1.13375 0.161588i
\(904\) −3.06167 5.29027i −0.101830 0.175952i
\(905\) −8.06201 + 4.65460i −0.267990 + 0.154724i
\(906\) −3.23087 + 37.0768i −0.107338 + 1.23179i
\(907\) −11.7280 43.7693i −0.389421 1.45334i −0.831079 0.556154i \(-0.812276\pi\)
0.441659 0.897183i \(-0.354390\pi\)
\(908\) −19.4420 + 13.6335i −0.645207 + 0.452445i
\(909\) −11.3593 11.3593i −0.376765 0.376765i
\(910\) 9.06328 + 1.90476i 0.300445 + 0.0631422i
\(911\) 54.9073 1.81916 0.909581 0.415528i \(-0.136403\pi\)
0.909581 + 0.415528i \(0.136403\pi\)
\(912\) −9.43109 11.2080i −0.312295 0.371133i
\(913\) 0.0139998 0.0242483i 0.000463325 0.000802502i
\(914\) 28.9740 + 34.5056i 0.958374 + 1.14134i
\(915\) −2.20827 + 8.24138i −0.0730032 + 0.272452i
\(916\) 54.6700 4.82114i 1.80635 0.159295i
\(917\) 40.4833 17.2772i 1.33688 0.570543i
\(918\) 3.13784 1.46452i 0.103564 0.0483364i
\(919\) 20.2863 11.7123i 0.669183 0.386353i −0.126584 0.991956i \(-0.540401\pi\)
0.795767 + 0.605603i \(0.207068\pi\)
\(920\) −8.10505 8.08823i −0.267216 0.266661i
\(921\) 20.0338 + 11.5665i 0.660135 + 0.381129i
\(922\) −27.0855 + 38.7106i −0.892013 + 1.27487i
\(923\) −21.6333 + 21.6333i −0.712068 + 0.712068i
\(924\) −0.00266153 + 0.0824517i −8.75578e−5 + 0.00271246i
\(925\) 4.91180 + 4.91180i 0.161499 + 0.161499i
\(926\) 6.16400 + 34.8872i 0.202562 + 1.14646i
\(927\) 3.91761 6.78549i 0.128671 0.222865i
\(928\) −4.30971 48.2973i −0.141473 1.58544i
\(929\) −27.6963 47.9713i −0.908685 1.57389i −0.815893 0.578203i \(-0.803754\pi\)
−0.0927915 0.995686i \(-0.529579\pi\)
\(930\) 5.78548 + 2.10347i 0.189713 + 0.0689756i
\(931\) −15.3373 8.42377i −0.502661 0.276078i
\(932\) 0.628007 0.749483i 0.0205711 0.0245501i
\(933\) −32.1269 8.60837i −1.05179 0.281825i
\(934\) −29.5594 2.57580i −0.967214 0.0842829i
\(935\) −0.00399708 0.00230771i −0.000130718 7.54703e-5i
\(936\) −1.55334 5.77315i −0.0507724 0.188701i
\(937\) 1.91865i 0.0626795i −0.999509 0.0313398i \(-0.990023\pi\)
0.999509 0.0313398i \(-0.00997739\pi\)
\(938\) 9.27779 18.3123i 0.302930 0.597918i
\(939\) −12.5932 + 12.5932i −0.410963 + 0.410963i
\(940\) 2.62716 + 3.74644i 0.0856884 + 0.122196i
\(941\) 50.4176 13.5093i 1.64357 0.440392i 0.685764 0.727824i \(-0.259468\pi\)
0.957801 + 0.287432i \(0.0928014\pi\)
\(942\) 21.6092 + 25.7347i 0.704066 + 0.838483i
\(943\) 3.80968 + 6.59856i 0.124060 + 0.214879i
\(944\) −13.3201 9.29939i −0.433533 0.302669i
\(945\) 13.8606 + 5.56869i 0.450885 + 0.181150i
\(946\) −0.0456607 + 0.125587i −0.00148456 + 0.00408318i
\(947\) 6.53266 24.3802i 0.212283 0.792251i −0.774822 0.632179i \(-0.782161\pi\)
0.987105 0.160072i \(-0.0511725\pi\)
\(948\) −42.7382 19.8931i −1.38807 0.646099i
\(949\) 0.892887 + 3.33230i 0.0289843 + 0.108171i
\(950\) 2.89658 + 2.02671i 0.0939773 + 0.0657552i
\(951\) 42.6141i 1.38186i
\(952\) 2.00573 + 2.55149i 0.0650062 + 0.0826943i
\(953\) 13.4205i 0.434732i 0.976090 + 0.217366i \(0.0697466\pi\)
−0.976090 + 0.217366i \(0.930253\pi\)
\(954\) −2.34159 + 3.34661i −0.0758119 + 0.108350i
\(955\) 3.22286 + 12.0279i 0.104289 + 0.389213i
\(956\) −17.3831 + 6.34057i −0.562211 + 0.205069i
\(957\) −0.0345870 + 0.129080i −0.00111804 + 0.00417258i
\(958\) 16.1190 + 5.86051i 0.520781 + 0.189345i
\(959\) −4.06716 28.5363i −0.131335 0.921486i
\(960\) −5.83865 + 10.1615i −0.188442 + 0.327962i
\(961\) 11.0853 + 19.2003i 0.357591 + 0.619365i
\(962\) 18.6211 15.6359i 0.600368 0.504123i
\(963\) −14.0118 + 3.75446i −0.451525 + 0.120986i
\(964\) −3.96260 + 22.5643i −0.127627 + 0.726748i
\(965\) −9.47314 + 9.47314i −0.304951 + 0.304951i
\(966\) −1.21212 22.1569i −0.0389993 0.712887i
\(967\) 36.3959i 1.17041i −0.810884 0.585207i \(-0.801013\pi\)
0.810884 0.585207i \(-0.198987\pi\)
\(968\) 26.9602 + 15.5282i 0.866535 + 0.499095i
\(969\) 1.37541 + 0.794095i 0.0441846 + 0.0255100i
\(970\) 0.884375 10.1489i 0.0283956 0.325862i
\(971\) −37.3442 10.0064i −1.19843 0.321119i −0.396219 0.918156i \(-0.629678\pi\)
−0.802214 + 0.597037i \(0.796345\pi\)
\(972\) −1.50643 17.0823i −0.0483186 0.547915i
\(973\) 6.26144 + 0.756445i 0.200733 + 0.0242505i
\(974\) −1.34122 + 3.68894i −0.0429754 + 0.118201i
\(975\) −1.81299 3.14019i −0.0580621 0.100567i
\(976\) 9.87490 + 21.1005i 0.316088 + 0.675409i
\(977\) 15.4186 26.7057i 0.493284 0.854393i −0.506686 0.862130i \(-0.669130\pi\)
0.999970 + 0.00773797i \(0.00246310\pi\)
\(978\) 29.0517 5.13297i 0.928972 0.164134i
\(979\) 0.0610733 + 0.0610733i 0.00195191 + 0.00195191i
\(980\) −2.12668 + 13.8375i −0.0679343 + 0.442024i
\(981\) −5.88018 + 5.88018i −0.187740 + 0.187740i
\(982\) −6.72263 4.70377i −0.214528 0.150103i
\(983\) −50.8189 29.3403i −1.62087 0.935810i −0.986688 0.162627i \(-0.948003\pi\)
−0.634183 0.773183i \(-0.718663\pi\)
\(984\) 5.50860 5.52005i 0.175608 0.175973i
\(985\) 12.1027 6.98748i 0.385623 0.222640i
\(986\) 2.22351 + 4.76403i 0.0708110 + 0.151718i
\(987\) −1.06355 + 8.80353i −0.0338533 + 0.280219i
\(988\) 7.94777 9.48512i 0.252852 0.301762i
\(989\) 9.30319 34.7200i 0.295824 1.10403i
\(990\) −0.00984259 + 0.00826472i −0.000312818 + 0.000262670i
\(991\) 21.6953 37.5774i 0.689175 1.19369i −0.282930 0.959141i \(-0.591306\pi\)
0.972105 0.234546i \(-0.0753602\pi\)
\(992\) 15.7852 5.77632i 0.501182 0.183398i
\(993\) −31.3235 −0.994022
\(994\) −34.4399 30.8672i −1.09237 0.979049i
\(995\) 7.31708 + 7.31708i 0.231967 + 0.231967i
\(996\) 7.59235 + 1.33332i 0.240573 + 0.0422478i
\(997\) −3.36313 12.5514i −0.106511 0.397506i 0.892001 0.452034i \(-0.149301\pi\)
−0.998512 + 0.0545278i \(0.982635\pi\)
\(998\) 23.1632 + 2.01844i 0.733218 + 0.0638925i
\(999\) 33.9635 19.6088i 1.07456 0.620396i
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 560.2.cp.a.221.31 256
7.2 even 3 inner 560.2.cp.a.541.14 yes 256
16.5 even 4 inner 560.2.cp.a.501.14 yes 256
112.37 even 12 inner 560.2.cp.a.261.31 yes 256
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
560.2.cp.a.221.31 256 1.1 even 1 trivial
560.2.cp.a.261.31 yes 256 112.37 even 12 inner
560.2.cp.a.501.14 yes 256 16.5 even 4 inner
560.2.cp.a.541.14 yes 256 7.2 even 3 inner