Properties

Label 572.2.bf.a.67.11
Level $572$
Weight $2$
Character 572.67
Analytic conductor $4.567$
Analytic rank $0$
Dimension $280$
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] = [572,2,Mod(67,572)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(572, base_ring=CyclotomicField(12))
 
chi = DirichletCharacter(H, H._module([6, 0, 1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("572.67");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 572 = 2^{2} \cdot 11 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 572.bf (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: \(4.56744299562\)
Analytic rank: \(0\)
Dimension: \(280\)
Relative dimension: \(70\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 67.11
Character \(\chi\) \(=\) 572.67
Dual form 572.2.bf.a.111.11

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.25798 - 0.646123i) q^{2} +(-1.39356 + 0.804570i) q^{3} +(1.16505 + 1.62562i) q^{4} +(-1.40920 + 1.40920i) q^{5} +(2.27292 - 0.111729i) q^{6} +(0.135295 + 0.504929i) q^{7} +(-0.415264 - 2.79778i) q^{8} +(-0.205335 + 0.355651i) q^{9} +O(q^{10})\) \(q+(-1.25798 - 0.646123i) q^{2} +(-1.39356 + 0.804570i) q^{3} +(1.16505 + 1.62562i) q^{4} +(-1.40920 + 1.40920i) q^{5} +(2.27292 - 0.111729i) q^{6} +(0.135295 + 0.504929i) q^{7} +(-0.415264 - 2.79778i) q^{8} +(-0.205335 + 0.355651i) q^{9} +(2.68326 - 0.862235i) q^{10} +(0.965926 + 0.258819i) q^{11} +(-2.93149 - 1.32803i) q^{12} +(0.725040 + 3.53190i) q^{13} +(0.156046 - 0.722610i) q^{14} +(0.829997 - 3.09759i) q^{15} +(-1.28531 + 3.78787i) q^{16} +(4.25546 + 2.45689i) q^{17} +(0.488103 - 0.314732i) q^{18} +(-2.54333 + 0.681483i) q^{19} +(-3.93261 - 0.649039i) q^{20} +(-0.594792 - 0.594792i) q^{21} +(-1.04789 - 0.949697i) q^{22} +(-1.92776 - 3.33898i) q^{23} +(2.82970 + 3.56475i) q^{24} +1.02833i q^{25} +(1.36995 - 4.91154i) q^{26} -5.48824i q^{27} +(-0.663199 + 0.808207i) q^{28} +(-2.48292 - 4.30055i) q^{29} +(-3.04555 + 3.36044i) q^{30} +(-5.62975 - 5.62975i) q^{31} +(4.06433 - 3.93462i) q^{32} +(-1.55431 + 0.416476i) q^{33} +(-3.76585 - 5.84027i) q^{34} +(-0.902202 - 0.520887i) q^{35} +(-0.817382 + 0.0805538i) q^{36} +(-1.20961 + 4.51434i) q^{37} +(3.63979 + 0.786007i) q^{38} +(-3.85204 - 4.33855i) q^{39} +(4.52781 + 3.35743i) q^{40} +(-9.53371 - 2.55455i) q^{41} +(0.363931 + 1.13255i) q^{42} +(-5.30072 + 9.18111i) q^{43} +(0.704611 + 1.87177i) q^{44} +(-0.211825 - 0.790541i) q^{45} +(0.267703 + 5.44595i) q^{46} +(0.522200 - 0.522200i) q^{47} +(-1.25645 - 6.31273i) q^{48} +(5.82553 - 3.36337i) q^{49} +(0.664424 - 1.29362i) q^{50} -7.90695 q^{51} +(-4.89684 + 5.29349i) q^{52} -0.676326 q^{53} +(-3.54608 + 6.90413i) q^{54} +(-1.72591 + 0.996453i) q^{55} +(1.35649 - 0.588205i) q^{56} +(2.99597 - 2.99597i) q^{57} +(0.344798 + 7.01430i) q^{58} +(-3.72773 - 13.9121i) q^{59} +(6.00251 - 2.25959i) q^{60} +(-3.73145 + 6.46306i) q^{61} +(3.44463 + 10.7197i) q^{62} +(-0.207360 - 0.0555618i) q^{63} +(-7.65511 + 2.32363i) q^{64} +(-5.99887 - 3.95542i) q^{65} +(2.22439 + 0.480354i) q^{66} +(-2.82508 + 10.5433i) q^{67} +(0.963846 + 9.78017i) q^{68} +(5.37288 + 3.10203i) q^{69} +(0.798400 + 1.23820i) q^{70} +(0.950521 - 0.254691i) q^{71} +(1.08030 + 0.426794i) q^{72} +(-0.0597207 - 0.0597207i) q^{73} +(4.43849 - 4.89741i) q^{74} +(-0.827360 - 1.43303i) q^{75} +(-4.07094 - 3.34053i) q^{76} +0.522741i q^{77} +(2.04257 + 7.94673i) q^{78} -13.3133i q^{79} +(-3.52660 - 7.14912i) q^{80} +(3.79967 + 6.58122i) q^{81} +(10.3427 + 9.37353i) q^{82} +(3.02512 + 3.02512i) q^{83} +(0.273945 - 1.65987i) q^{84} +(-9.45902 + 2.53454i) q^{85} +(12.6003 - 8.12478i) q^{86} +(6.92018 + 3.99537i) q^{87} +(0.323004 - 2.80992i) q^{88} +(-1.92253 + 7.17497i) q^{89} +(-0.244314 + 1.13135i) q^{90} +(-1.68526 + 0.843943i) q^{91} +(3.18198 - 7.02389i) q^{92} +(12.3749 + 3.31584i) q^{93} +(-0.994324 + 0.319514i) q^{94} +(2.62371 - 4.54440i) q^{95} +(-2.49820 + 8.75314i) q^{96} +(-4.43215 - 16.5410i) q^{97} +(-9.50158 + 0.467064i) q^{98} +(-0.290388 + 0.290388i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 280 q - 4 q^{5} + 12 q^{6} - 12 q^{8} + 140 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 280 q - 4 q^{5} + 12 q^{6} - 12 q^{8} + 140 q^{9} - 16 q^{14} - 24 q^{18} - 16 q^{20} + 16 q^{21} - 28 q^{26} - 40 q^{28} - 20 q^{32} - 16 q^{34} - 36 q^{36} - 36 q^{37} + 80 q^{40} - 40 q^{41} + 20 q^{42} + 8 q^{44} - 40 q^{45} + 60 q^{46} - 20 q^{48} - 144 q^{49} + 20 q^{50} + 108 q^{52} + 8 q^{53} + 20 q^{54} + 108 q^{56} - 64 q^{57} + 60 q^{58} + 108 q^{60} - 20 q^{61} - 36 q^{62} - 40 q^{65} - 40 q^{66} - 76 q^{68} - 44 q^{70} - 20 q^{72} - 100 q^{73} - 32 q^{74} + 32 q^{76} - 140 q^{78} - 156 q^{80} - 140 q^{81} - 260 q^{84} - 12 q^{85} + 56 q^{86} - 72 q^{88} + 60 q^{89} + 80 q^{92} + 80 q^{93} + 32 q^{94} + 80 q^{96} + 44 q^{97} + 16 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/572\mathbb{Z}\right)^\times\).

\(n\) \(287\) \(353\) \(365\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{12}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.25798 0.646123i −0.889530 0.456878i
\(3\) −1.39356 + 0.804570i −0.804570 + 0.464518i −0.845067 0.534661i \(-0.820439\pi\)
0.0404969 + 0.999180i \(0.487106\pi\)
\(4\) 1.16505 + 1.62562i 0.582526 + 0.812812i
\(5\) −1.40920 + 1.40920i −0.630212 + 0.630212i −0.948121 0.317909i \(-0.897019\pi\)
0.317909 + 0.948121i \(0.397019\pi\)
\(6\) 2.27292 0.111729i 0.927917 0.0456131i
\(7\) 0.135295 + 0.504929i 0.0511368 + 0.190845i 0.986769 0.162130i \(-0.0518365\pi\)
−0.935633 + 0.352976i \(0.885170\pi\)
\(8\) −0.415264 2.79778i −0.146818 0.989164i
\(9\) −0.205335 + 0.355651i −0.0684451 + 0.118550i
\(10\) 2.68326 0.862235i 0.848522 0.272663i
\(11\) 0.965926 + 0.258819i 0.291238 + 0.0780369i
\(12\) −2.93149 1.32803i −0.846249 0.383370i
\(13\) 0.725040 + 3.53190i 0.201090 + 0.979573i
\(14\) 0.156046 0.722610i 0.0417052 0.193126i
\(15\) 0.829997 3.09759i 0.214304 0.799795i
\(16\) −1.28531 + 3.78787i −0.321328 + 0.946968i
\(17\) 4.25546 + 2.45689i 1.03210 + 0.595883i 0.917585 0.397539i \(-0.130136\pi\)
0.114514 + 0.993422i \(0.463469\pi\)
\(18\) 0.488103 0.314732i 0.115047 0.0741831i
\(19\) −2.54333 + 0.681483i −0.583480 + 0.156343i −0.538471 0.842644i \(-0.680998\pi\)
−0.0450081 + 0.998987i \(0.514331\pi\)
\(20\) −3.93261 0.649039i −0.879359 0.145129i
\(21\) −0.594792 0.594792i −0.129794 0.129794i
\(22\) −1.04789 0.949697i −0.223411 0.202476i
\(23\) −1.92776 3.33898i −0.401965 0.696224i 0.591998 0.805940i \(-0.298339\pi\)
−0.993963 + 0.109715i \(0.965006\pi\)
\(24\) 2.82970 + 3.56475i 0.577610 + 0.727651i
\(25\) 1.02833i 0.205665i
\(26\) 1.36995 4.91154i 0.268670 0.963232i
\(27\) 5.48824i 1.05621i
\(28\) −0.663199 + 0.808207i −0.125333 + 0.152737i
\(29\) −2.48292 4.30055i −0.461067 0.798592i 0.537947 0.842979i \(-0.319200\pi\)
−0.999014 + 0.0443867i \(0.985867\pi\)
\(30\) −3.04555 + 3.36044i −0.556038 + 0.613530i
\(31\) −5.62975 5.62975i −1.01113 1.01113i −0.999937 0.0111959i \(-0.996436\pi\)
−0.0111959 0.999937i \(-0.503564\pi\)
\(32\) 4.06433 3.93462i 0.718479 0.695549i
\(33\) −1.55431 + 0.416476i −0.270570 + 0.0724991i
\(34\) −3.76585 5.84027i −0.645838 1.00160i
\(35\) −0.902202 0.520887i −0.152500 0.0880459i
\(36\) −0.817382 + 0.0805538i −0.136230 + 0.0134256i
\(37\) −1.20961 + 4.51434i −0.198859 + 0.742153i 0.792375 + 0.610035i \(0.208844\pi\)
−0.991234 + 0.132118i \(0.957822\pi\)
\(38\) 3.63979 + 0.786007i 0.590452 + 0.127507i
\(39\) −3.85204 4.33855i −0.616820 0.694725i
\(40\) 4.52781 + 3.35743i 0.715909 + 0.530856i
\(41\) −9.53371 2.55455i −1.48892 0.398954i −0.579545 0.814940i \(-0.696770\pi\)
−0.909371 + 0.415987i \(0.863436\pi\)
\(42\) 0.363931 + 1.13255i 0.0561557 + 0.174756i
\(43\) −5.30072 + 9.18111i −0.808352 + 1.40011i 0.105653 + 0.994403i \(0.466307\pi\)
−0.914005 + 0.405703i \(0.867027\pi\)
\(44\) 0.704611 + 1.87177i 0.106224 + 0.282180i
\(45\) −0.211825 0.790541i −0.0315770 0.117847i
\(46\) 0.267703 + 5.44595i 0.0394707 + 0.802961i
\(47\) 0.522200 0.522200i 0.0761707 0.0761707i −0.667995 0.744166i \(-0.732847\pi\)
0.744166 + 0.667995i \(0.232847\pi\)
\(48\) −1.25645 6.31273i −0.181354 0.911164i
\(49\) 5.82553 3.36337i 0.832219 0.480482i
\(50\) 0.664424 1.29362i 0.0939638 0.182945i
\(51\) −7.90695 −1.10719
\(52\) −4.89684 + 5.29349i −0.679069 + 0.734075i
\(53\) −0.676326 −0.0929005 −0.0464502 0.998921i \(-0.514791\pi\)
−0.0464502 + 0.998921i \(0.514791\pi\)
\(54\) −3.54608 + 6.90413i −0.482560 + 0.939533i
\(55\) −1.72591 + 0.996453i −0.232721 + 0.134362i
\(56\) 1.35649 0.588205i 0.181269 0.0786022i
\(57\) 2.99597 2.99597i 0.396826 0.396826i
\(58\) 0.344798 + 7.01430i 0.0452742 + 0.921022i
\(59\) −3.72773 13.9121i −0.485309 1.81120i −0.578667 0.815564i \(-0.696427\pi\)
0.0933586 0.995633i \(-0.470240\pi\)
\(60\) 6.00251 2.25959i 0.774921 0.291712i
\(61\) −3.73145 + 6.46306i −0.477763 + 0.827510i −0.999675 0.0254891i \(-0.991886\pi\)
0.521912 + 0.852999i \(0.325219\pi\)
\(62\) 3.44463 + 10.7197i 0.437469 + 1.36140i
\(63\) −0.207360 0.0555618i −0.0261248 0.00700013i
\(64\) −7.65511 + 2.32363i −0.956889 + 0.290454i
\(65\) −5.99887 3.95542i −0.744068 0.490609i
\(66\) 2.22439 + 0.480354i 0.273804 + 0.0591275i
\(67\) −2.82508 + 10.5433i −0.345138 + 1.28807i 0.547312 + 0.836929i \(0.315651\pi\)
−0.892450 + 0.451145i \(0.851016\pi\)
\(68\) 0.963846 + 9.78017i 0.116883 + 1.18602i
\(69\) 5.37288 + 3.10203i 0.646818 + 0.373441i
\(70\) 0.798400 + 1.23820i 0.0954270 + 0.147993i
\(71\) 0.950521 0.254691i 0.112806 0.0302263i −0.201974 0.979391i \(-0.564736\pi\)
0.314780 + 0.949165i \(0.398069\pi\)
\(72\) 1.08030 + 0.426794i 0.127315 + 0.0502981i
\(73\) −0.0597207 0.0597207i −0.00698978 0.00698978i 0.703603 0.710593i \(-0.251573\pi\)
−0.710593 + 0.703603i \(0.751573\pi\)
\(74\) 4.43849 4.89741i 0.515964 0.569312i
\(75\) −0.827360 1.43303i −0.0955353 0.165472i
\(76\) −4.07094 3.34053i −0.466969 0.383186i
\(77\) 0.522741i 0.0595718i
\(78\) 2.04257 + 7.94673i 0.231276 + 0.899790i
\(79\) 13.3133i 1.49786i −0.662649 0.748930i \(-0.730568\pi\)
0.662649 0.748930i \(-0.269432\pi\)
\(80\) −3.52660 7.14912i −0.394286 0.799295i
\(81\) 3.79967 + 6.58122i 0.422185 + 0.731247i
\(82\) 10.3427 + 9.37353i 1.14216 + 1.03513i
\(83\) 3.02512 + 3.02512i 0.332050 + 0.332050i 0.853365 0.521314i \(-0.174558\pi\)
−0.521314 + 0.853365i \(0.674558\pi\)
\(84\) 0.273945 1.65987i 0.0298899 0.181107i
\(85\) −9.45902 + 2.53454i −1.02597 + 0.274909i
\(86\) 12.6003 8.12478i 1.35873 0.876118i
\(87\) 6.92018 + 3.99537i 0.741921 + 0.428348i
\(88\) 0.323004 2.80992i 0.0344323 0.299539i
\(89\) −1.92253 + 7.17497i −0.203788 + 0.760546i 0.786028 + 0.618191i \(0.212134\pi\)
−0.989816 + 0.142355i \(0.954533\pi\)
\(90\) −0.244314 + 1.13135i −0.0257530 + 0.119255i
\(91\) −1.68526 + 0.843943i −0.176664 + 0.0884692i
\(92\) 3.18198 7.02389i 0.331745 0.732291i
\(93\) 12.3749 + 3.31584i 1.28322 + 0.343837i
\(94\) −0.994324 + 0.319514i −0.102557 + 0.0329554i
\(95\) 2.62371 4.54440i 0.269187 0.466245i
\(96\) −2.49820 + 8.75314i −0.254971 + 0.893364i
\(97\) −4.43215 16.5410i −0.450016 1.67948i −0.702340 0.711841i \(-0.747862\pi\)
0.252324 0.967643i \(-0.418805\pi\)
\(98\) −9.50158 + 0.467064i −0.959804 + 0.0471805i
\(99\) −0.290388 + 0.290388i −0.0291851 + 0.0291851i
\(100\) −1.67167 + 1.19805i −0.167167 + 0.119805i
\(101\) 0.0368209 0.0212585i 0.00366381 0.00211530i −0.498167 0.867081i \(-0.665993\pi\)
0.501831 + 0.864966i \(0.332660\pi\)
\(102\) 9.94682 + 5.10886i 0.984882 + 0.505852i
\(103\) 4.00944 0.395061 0.197531 0.980297i \(-0.436708\pi\)
0.197531 + 0.980297i \(0.436708\pi\)
\(104\) 9.58039 3.49517i 0.939434 0.342730i
\(105\) 1.67636 0.163596
\(106\) 0.850807 + 0.436989i 0.0826377 + 0.0424441i
\(107\) −12.8839 + 7.43852i −1.24553 + 0.719109i −0.970215 0.242244i \(-0.922116\pi\)
−0.275318 + 0.961353i \(0.588783\pi\)
\(108\) 8.92183 6.39409i 0.858503 0.615271i
\(109\) 6.57445 6.57445i 0.629718 0.629718i −0.318279 0.947997i \(-0.603105\pi\)
0.947997 + 0.318279i \(0.103105\pi\)
\(110\) 2.81500 0.138375i 0.268399 0.0131935i
\(111\) −1.94644 7.26420i −0.184748 0.689487i
\(112\) −2.08650 0.136509i −0.197156 0.0128989i
\(113\) 0.817686 1.41627i 0.0769214 0.133232i −0.824999 0.565135i \(-0.808824\pi\)
0.901920 + 0.431903i \(0.142158\pi\)
\(114\) −5.70465 + 1.83312i −0.534289 + 0.171687i
\(115\) 7.42187 + 1.98868i 0.692093 + 0.185446i
\(116\) 4.09835 9.04666i 0.380522 0.839961i
\(117\) −1.40500 0.467363i −0.129892 0.0432077i
\(118\) −4.29948 + 19.9097i −0.395799 + 1.83284i
\(119\) −0.664811 + 2.48111i −0.0609431 + 0.227443i
\(120\) −9.01104 1.03583i −0.822592 0.0945578i
\(121\) 0.866025 + 0.500000i 0.0787296 + 0.0454545i
\(122\) 8.87004 5.71946i 0.803056 0.517816i
\(123\) 15.3411 4.11063i 1.38326 0.370643i
\(124\) 2.59291 15.7108i 0.232851 1.41087i
\(125\) −8.49510 8.49510i −0.759825 0.759825i
\(126\) 0.224955 + 0.203876i 0.0200406 + 0.0181627i
\(127\) 9.17226 + 15.8868i 0.813906 + 1.40973i 0.910111 + 0.414365i \(0.135996\pi\)
−0.0962045 + 0.995362i \(0.530670\pi\)
\(128\) 11.1314 + 2.02305i 0.983883 + 0.178814i
\(129\) 17.0592i 1.50198i
\(130\) 4.99080 + 8.85186i 0.437722 + 0.776360i
\(131\) 2.16981i 0.189577i 0.995497 + 0.0947884i \(0.0302175\pi\)
−0.995497 + 0.0947884i \(0.969783\pi\)
\(132\) −2.48788 2.04151i −0.216542 0.177690i
\(133\) −0.688200 1.19200i −0.0596746 0.103359i
\(134\) 10.3662 11.4380i 0.895503 0.988094i
\(135\) 7.73402 + 7.73402i 0.665638 + 0.665638i
\(136\) 5.10669 12.9261i 0.437895 1.10840i
\(137\) 8.58442 2.30019i 0.733416 0.196518i 0.127266 0.991869i \(-0.459380\pi\)
0.606150 + 0.795350i \(0.292713\pi\)
\(138\) −4.75470 7.37384i −0.404747 0.627703i
\(139\) 12.2929 + 7.09733i 1.04267 + 0.601988i 0.920589 0.390532i \(-0.127709\pi\)
0.122084 + 0.992520i \(0.461042\pi\)
\(140\) −0.204346 2.07350i −0.0172704 0.175243i
\(141\) −0.307568 + 1.14786i −0.0259019 + 0.0966673i
\(142\) −1.36030 0.293755i −0.114154 0.0246514i
\(143\) −0.213788 + 3.59921i −0.0178779 + 0.300981i
\(144\) −1.08324 1.23491i −0.0902702 0.102909i
\(145\) 9.55925 + 2.56139i 0.793853 + 0.212712i
\(146\) 0.0365408 + 0.113715i 0.00302414 + 0.00941109i
\(147\) −5.41213 + 9.37409i −0.446385 + 0.773162i
\(148\) −8.74788 + 3.29306i −0.719071 + 0.270688i
\(149\) 0.363340 + 1.35600i 0.0297660 + 0.111088i 0.979211 0.202847i \(-0.0650193\pi\)
−0.949445 + 0.313935i \(0.898353\pi\)
\(150\) 0.114894 + 2.33730i 0.00938102 + 0.190840i
\(151\) 4.85545 4.85545i 0.395131 0.395131i −0.481381 0.876512i \(-0.659865\pi\)
0.876512 + 0.481381i \(0.159865\pi\)
\(152\) 2.96279 + 6.83267i 0.240314 + 0.554203i
\(153\) −1.74759 + 1.00897i −0.141284 + 0.0815706i
\(154\) 0.337755 0.657600i 0.0272170 0.0529909i
\(155\) 15.8669 1.27446
\(156\) 2.56503 11.3166i 0.205367 0.906054i
\(157\) −0.525684 −0.0419542 −0.0209771 0.999780i \(-0.506678\pi\)
−0.0209771 + 0.999780i \(0.506678\pi\)
\(158\) −8.60200 + 16.7479i −0.684339 + 1.33239i
\(159\) 0.942497 0.544151i 0.0747449 0.0431540i
\(160\) −0.182793 + 11.2721i −0.0144510 + 0.891137i
\(161\) 1.42513 1.42513i 0.112316 0.112316i
\(162\) −0.527651 10.7341i −0.0414562 0.843352i
\(163\) 0.597343 + 2.22932i 0.0467876 + 0.174614i 0.985366 0.170453i \(-0.0545231\pi\)
−0.938578 + 0.345066i \(0.887856\pi\)
\(164\) −6.95452 18.4744i −0.543057 1.44261i
\(165\) 1.60343 2.77723i 0.124827 0.216207i
\(166\) −1.85096 5.76016i −0.143662 0.447075i
\(167\) −16.8355 4.51105i −1.30277 0.349076i −0.460272 0.887778i \(-0.652248\pi\)
−0.842497 + 0.538702i \(0.818915\pi\)
\(168\) −1.41710 + 1.91109i −0.109332 + 0.147444i
\(169\) −11.9486 + 5.12154i −0.919126 + 0.393964i
\(170\) 13.5369 + 2.92328i 1.03823 + 0.224205i
\(171\) 0.279865 1.04447i 0.0214018 0.0798727i
\(172\) −21.1006 + 2.07949i −1.60891 + 0.158560i
\(173\) −18.5924 10.7343i −1.41355 0.816114i −0.417830 0.908525i \(-0.637209\pi\)
−0.995721 + 0.0924114i \(0.970543\pi\)
\(174\) −6.12399 9.49740i −0.464258 0.719996i
\(175\) −0.519231 + 0.139128i −0.0392502 + 0.0105171i
\(176\) −2.22189 + 3.32614i −0.167481 + 0.250717i
\(177\) 16.3880 + 16.3880i 1.23180 + 1.23180i
\(178\) 7.05442 7.78382i 0.528751 0.583422i
\(179\) 9.20363 + 15.9412i 0.687912 + 1.19150i 0.972512 + 0.232852i \(0.0748057\pi\)
−0.284600 + 0.958646i \(0.591861\pi\)
\(180\) 1.03834 1.26537i 0.0773930 0.0943150i
\(181\) 16.9242i 1.25797i 0.777418 + 0.628985i \(0.216529\pi\)
−0.777418 + 0.628985i \(0.783471\pi\)
\(182\) 2.66533 + 0.0272196i 0.197567 + 0.00201765i
\(183\) 12.0088i 0.887720i
\(184\) −8.54118 + 6.77999i −0.629664 + 0.499828i
\(185\) −4.65701 8.06618i −0.342390 0.593037i
\(186\) −13.4250 12.1670i −0.984368 0.892126i
\(187\) 3.47457 + 3.47457i 0.254085 + 0.254085i
\(188\) 1.45729 + 0.240511i 0.106284 + 0.0175411i
\(189\) 2.77117 0.742533i 0.201573 0.0540114i
\(190\) −6.23682 + 4.02154i −0.452467 + 0.291753i
\(191\) 6.02567 + 3.47892i 0.436002 + 0.251726i 0.701900 0.712275i \(-0.252335\pi\)
−0.265898 + 0.964001i \(0.585669\pi\)
\(192\) 8.79830 9.39718i 0.634963 0.678183i
\(193\) −1.81647 + 6.77916i −0.130752 + 0.487974i −0.999979 0.00643895i \(-0.997950\pi\)
0.869227 + 0.494413i \(0.164617\pi\)
\(194\) −5.11194 + 23.6720i −0.367016 + 1.69955i
\(195\) 11.5422 + 0.685590i 0.826552 + 0.0490961i
\(196\) 12.2546 + 5.55162i 0.875330 + 0.396545i
\(197\) 18.0194 + 4.82827i 1.28383 + 0.344000i 0.835312 0.549776i \(-0.185287\pi\)
0.448514 + 0.893776i \(0.351953\pi\)
\(198\) 0.552930 0.177678i 0.0392950 0.0126270i
\(199\) 5.86797 10.1636i 0.415969 0.720480i −0.579560 0.814929i \(-0.696776\pi\)
0.995530 + 0.0944493i \(0.0301090\pi\)
\(200\) 2.87703 0.427027i 0.203436 0.0301953i
\(201\) −4.54595 16.9657i −0.320646 1.19667i
\(202\) −0.0600557 + 0.00295212i −0.00422550 + 0.000207711i
\(203\) 1.83554 1.83554i 0.128830 0.128830i
\(204\) −9.21200 12.8537i −0.644969 0.899941i
\(205\) 17.0347 9.83501i 1.18976 0.686907i
\(206\) −5.04381 2.59059i −0.351419 0.180495i
\(207\) 1.58335 0.110050
\(208\) −14.3103 1.79323i −0.992240 0.124338i
\(209\) −2.63305 −0.182132
\(210\) −2.10883 1.08313i −0.145523 0.0747433i
\(211\) −12.4224 + 7.17207i −0.855193 + 0.493746i −0.862400 0.506228i \(-0.831039\pi\)
0.00720676 + 0.999974i \(0.497706\pi\)
\(212\) −0.787954 1.09945i −0.0541169 0.0755106i
\(213\) −1.11969 + 1.11969i −0.0767197 + 0.0767197i
\(214\) 21.0139 1.03297i 1.43648 0.0706124i
\(215\) −5.46824 20.4078i −0.372931 1.39180i
\(216\) −15.3549 + 2.27907i −1.04477 + 0.155071i
\(217\) 2.08094 3.60430i 0.141264 0.244676i
\(218\) −12.5185 + 4.02266i −0.847857 + 0.272449i
\(219\) 0.131274 + 0.0351747i 0.00887065 + 0.00237688i
\(220\) −3.63063 1.64476i −0.244777 0.110890i
\(221\) −5.59211 + 16.8112i −0.376166 + 1.13084i
\(222\) −2.24498 + 10.3959i −0.150673 + 0.697726i
\(223\) −3.74265 + 13.9677i −0.250626 + 0.935350i 0.719845 + 0.694134i \(0.244213\pi\)
−0.970472 + 0.241215i \(0.922454\pi\)
\(224\) 2.53659 + 1.51986i 0.169483 + 0.101550i
\(225\) −0.365725 0.211152i −0.0243817 0.0140768i
\(226\) −1.94372 + 1.25333i −0.129295 + 0.0833700i
\(227\) −0.177145 + 0.0474660i −0.0117575 + 0.00315043i −0.264693 0.964333i \(-0.585271\pi\)
0.252935 + 0.967483i \(0.418604\pi\)
\(228\) 8.36078 + 1.37986i 0.553706 + 0.0913837i
\(229\) −8.12626 8.12626i −0.536998 0.536998i 0.385648 0.922646i \(-0.373978\pi\)
−0.922646 + 0.385648i \(0.873978\pi\)
\(230\) −8.05166 7.29717i −0.530911 0.481161i
\(231\) −0.420581 0.728468i −0.0276722 0.0479297i
\(232\) −11.0009 + 8.73253i −0.722245 + 0.573319i
\(233\) 18.3476i 1.20199i 0.799252 + 0.600996i \(0.205229\pi\)
−0.799252 + 0.600996i \(0.794771\pi\)
\(234\) 1.46550 + 1.49574i 0.0958025 + 0.0977795i
\(235\) 1.47177i 0.0960074i
\(236\) 18.2728 22.2682i 1.18946 1.44953i
\(237\) 10.7115 + 18.5528i 0.695784 + 1.20513i
\(238\) 2.43942 2.69165i 0.158124 0.174473i
\(239\) −7.18733 7.18733i −0.464910 0.464910i 0.435351 0.900261i \(-0.356624\pi\)
−0.900261 + 0.435351i \(0.856624\pi\)
\(240\) 10.6665 + 7.12529i 0.688518 + 0.459936i
\(241\) −9.96375 + 2.66978i −0.641822 + 0.171976i −0.565028 0.825071i \(-0.691135\pi\)
−0.0767933 + 0.997047i \(0.524468\pi\)
\(242\) −0.766385 1.18855i −0.0492651 0.0764029i
\(243\) 3.66878 + 2.11817i 0.235352 + 0.135881i
\(244\) −14.8538 + 1.46386i −0.950920 + 0.0937141i
\(245\) −3.46967 + 12.9490i −0.221669 + 0.827280i
\(246\) −21.9548 4.74110i −1.39979 0.302282i
\(247\) −4.25094 8.48868i −0.270481 0.540122i
\(248\) −13.4130 + 18.0886i −0.851724 + 1.14863i
\(249\) −6.64959 1.78175i −0.421401 0.112914i
\(250\) 5.19783 + 16.1756i 0.328740 + 1.02303i
\(251\) −11.7651 + 20.3778i −0.742610 + 1.28624i 0.208694 + 0.977981i \(0.433079\pi\)
−0.951303 + 0.308257i \(0.900254\pi\)
\(252\) −0.151262 0.401821i −0.00952860 0.0253124i
\(253\) −0.997881 3.72414i −0.0627362 0.234135i
\(254\) −1.27373 25.9118i −0.0799209 1.62585i
\(255\) 11.1425 11.1425i 0.697768 0.697768i
\(256\) −12.6960 9.73719i −0.793497 0.608574i
\(257\) 15.1577 8.75128i 0.945509 0.545890i 0.0538261 0.998550i \(-0.482858\pi\)
0.891683 + 0.452660i \(0.149525\pi\)
\(258\) −11.0223 + 21.4602i −0.686220 + 1.33605i
\(259\) −2.44307 −0.151805
\(260\) −0.558961 14.3602i −0.0346653 0.890580i
\(261\) 2.03933 0.126231
\(262\) 1.40196 2.72958i 0.0866134 0.168634i
\(263\) −8.74829 + 5.05082i −0.539442 + 0.311447i −0.744853 0.667229i \(-0.767480\pi\)
0.205411 + 0.978676i \(0.434147\pi\)
\(264\) 1.81066 + 4.17566i 0.111438 + 0.256994i
\(265\) 0.953076 0.953076i 0.0585470 0.0585470i
\(266\) 0.0955688 + 1.94418i 0.00585970 + 0.119205i
\(267\) −3.09362 11.5455i −0.189326 0.706575i
\(268\) −20.4309 + 7.69101i −1.24801 + 0.469803i
\(269\) −7.78426 + 13.4827i −0.474615 + 0.822057i −0.999577 0.0290685i \(-0.990746\pi\)
0.524963 + 0.851125i \(0.324079\pi\)
\(270\) −4.73215 14.7264i −0.287990 0.896220i
\(271\) −15.8500 4.24698i −0.962816 0.257986i −0.257024 0.966405i \(-0.582742\pi\)
−0.705792 + 0.708419i \(0.749409\pi\)
\(272\) −14.7760 + 12.9613i −0.895924 + 0.785892i
\(273\) 1.66950 2.53199i 0.101043 0.153243i
\(274\) −12.2853 2.65298i −0.742180 0.160273i
\(275\) −0.266150 + 0.993286i −0.0160495 + 0.0598974i
\(276\) 1.21694 + 12.3483i 0.0732510 + 0.743281i
\(277\) 1.43694 + 0.829620i 0.0863376 + 0.0498471i 0.542547 0.840025i \(-0.317460\pi\)
−0.456210 + 0.889872i \(0.650793\pi\)
\(278\) −10.8786 16.8711i −0.652454 1.01186i
\(279\) 3.15822 0.846242i 0.189077 0.0506632i
\(280\) −1.08267 + 2.74047i −0.0647020 + 0.163774i
\(281\) 2.75995 + 2.75995i 0.164645 + 0.164645i 0.784621 0.619976i \(-0.212858\pi\)
−0.619976 + 0.784621i \(0.712858\pi\)
\(282\) 1.12857 1.24526i 0.0672056 0.0741544i
\(283\) 0.0854972 + 0.148086i 0.00508228 + 0.00880277i 0.868555 0.495592i \(-0.165049\pi\)
−0.863473 + 0.504395i \(0.831716\pi\)
\(284\) 1.52144 + 1.24846i 0.0902807 + 0.0740826i
\(285\) 8.44382i 0.500169i
\(286\) 2.59447 4.38961i 0.153414 0.259563i
\(287\) 5.15946i 0.304553i
\(288\) 0.564801 + 2.25340i 0.0332812 + 0.132783i
\(289\) 3.57260 + 6.18793i 0.210153 + 0.363996i
\(290\) −10.3704 9.39864i −0.608972 0.551907i
\(291\) 19.4848 + 19.4848i 1.14222 + 1.14222i
\(292\) 0.0275058 0.166661i 0.00160965 0.00975311i
\(293\) −24.5764 + 6.58522i −1.43577 + 0.384712i −0.891049 0.453907i \(-0.850030\pi\)
−0.544717 + 0.838620i \(0.683363\pi\)
\(294\) 12.8652 8.29556i 0.750313 0.483807i
\(295\) 24.8579 + 14.3517i 1.44729 + 0.835591i
\(296\) 13.1324 + 1.50959i 0.763306 + 0.0877429i
\(297\) 1.42046 5.30124i 0.0824236 0.307609i
\(298\) 0.419068 1.94059i 0.0242760 0.112416i
\(299\) 10.3952 9.22954i 0.601171 0.533758i
\(300\) 1.36565 3.01453i 0.0788459 0.174044i
\(301\) −5.35297 1.43432i −0.308540 0.0826730i
\(302\) −9.24529 + 2.97087i −0.532007 + 0.170954i
\(303\) −0.0342079 + 0.0592499i −0.00196519 + 0.00340382i
\(304\) 0.687598 10.5097i 0.0394365 0.602774i
\(305\) −3.84938 14.3661i −0.220415 0.822599i
\(306\) 2.85036 0.140114i 0.162944 0.00800977i
\(307\) −14.0593 + 14.0593i −0.802407 + 0.802407i −0.983471 0.181065i \(-0.942046\pi\)
0.181065 + 0.983471i \(0.442046\pi\)
\(308\) −0.849780 + 0.609020i −0.0484207 + 0.0347021i
\(309\) −5.58737 + 3.22587i −0.317854 + 0.183513i
\(310\) −19.9603 10.2519i −1.13367 0.582271i
\(311\) −9.15625 −0.519203 −0.259602 0.965716i \(-0.583591\pi\)
−0.259602 + 0.965716i \(0.583591\pi\)
\(312\) −10.5387 + 12.5788i −0.596636 + 0.712134i
\(313\) 4.54763 0.257047 0.128524 0.991706i \(-0.458976\pi\)
0.128524 + 0.991706i \(0.458976\pi\)
\(314\) 0.661303 + 0.339656i 0.0373195 + 0.0191679i
\(315\) 0.370508 0.213913i 0.0208758 0.0120526i
\(316\) 21.6424 15.5106i 1.21748 0.872542i
\(317\) 13.5533 13.5533i 0.761232 0.761232i −0.215313 0.976545i \(-0.569077\pi\)
0.976545 + 0.215313i \(0.0690773\pi\)
\(318\) −1.53724 + 0.0755650i −0.0862039 + 0.00423747i
\(319\) −1.28526 4.79664i −0.0719605 0.268560i
\(320\) 7.51311 14.0620i 0.419995 0.786091i
\(321\) 11.9696 20.7320i 0.668079 1.15715i
\(322\) −2.71360 + 0.871982i −0.151223 + 0.0485937i
\(323\) −12.4973 3.34865i −0.695371 0.186324i
\(324\) −6.27178 + 13.8443i −0.348432 + 0.769127i
\(325\) −3.63194 + 0.745577i −0.201464 + 0.0413572i
\(326\) 0.688963 3.19040i 0.0381581 0.176700i
\(327\) −3.87226 + 14.4515i −0.214136 + 0.799168i
\(328\) −3.18805 + 27.7340i −0.176031 + 1.53135i
\(329\) 0.334325 + 0.193023i 0.0184319 + 0.0106417i
\(330\) −3.81152 + 2.45769i −0.209817 + 0.135292i
\(331\) −22.4853 + 6.02493i −1.23591 + 0.331160i −0.816877 0.576812i \(-0.804296\pi\)
−0.419030 + 0.907972i \(0.637630\pi\)
\(332\) −1.39329 + 8.44213i −0.0764667 + 0.463322i
\(333\) −1.35715 1.35715i −0.0743716 0.0743716i
\(334\) 18.2641 + 16.5526i 0.999367 + 0.905719i
\(335\) −10.8766 18.8387i −0.594250 1.02927i
\(336\) 3.01749 1.48850i 0.164617 0.0812045i
\(337\) 6.48128i 0.353058i 0.984295 + 0.176529i \(0.0564869\pi\)
−0.984295 + 0.176529i \(0.943513\pi\)
\(338\) 18.3403 + 1.27747i 0.997583 + 0.0694851i
\(339\) 2.63154i 0.142926i
\(340\) −15.1404 12.4239i −0.821106 0.673783i
\(341\) −3.98084 6.89501i −0.215574 0.373386i
\(342\) −1.02692 + 1.13310i −0.0555296 + 0.0612711i
\(343\) 5.07386 + 5.07386i 0.273963 + 0.273963i
\(344\) 27.8879 + 11.0176i 1.50361 + 0.594031i
\(345\) −11.9428 + 3.20007i −0.642980 + 0.172286i
\(346\) 16.4532 + 25.5165i 0.884531 + 1.37178i
\(347\) 23.0634 + 13.3156i 1.23811 + 0.714821i 0.968707 0.248207i \(-0.0798413\pi\)
0.269400 + 0.963028i \(0.413175\pi\)
\(348\) 1.56740 + 15.9044i 0.0840213 + 0.852567i
\(349\) 4.31479 16.1030i 0.230965 0.861974i −0.748961 0.662614i \(-0.769447\pi\)
0.979926 0.199360i \(-0.0638863\pi\)
\(350\) 0.743078 + 0.160467i 0.0397192 + 0.00857730i
\(351\) 19.3839 3.97920i 1.03464 0.212394i
\(352\) 4.94420 2.74862i 0.263527 0.146502i
\(353\) 30.2221 + 8.09800i 1.60856 + 0.431013i 0.947614 0.319419i \(-0.103488\pi\)
0.660948 + 0.750432i \(0.270154\pi\)
\(354\) −10.0272 31.2045i −0.532940 1.65850i
\(355\) −0.980561 + 1.69838i −0.0520428 + 0.0901407i
\(356\) −13.9037 + 5.23390i −0.736892 + 0.277396i
\(357\) −1.06977 3.99245i −0.0566184 0.211303i
\(358\) −1.27809 26.0004i −0.0675490 1.37416i
\(359\) −18.1502 + 18.1502i −0.957933 + 0.957933i −0.999150 0.0412173i \(-0.986876\pi\)
0.0412173 + 0.999150i \(0.486876\pi\)
\(360\) −2.12379 + 0.920922i −0.111934 + 0.0485369i
\(361\) −10.4504 + 6.03353i −0.550020 + 0.317554i
\(362\) 10.9351 21.2904i 0.574738 1.11900i
\(363\) −1.60914 −0.0844579
\(364\) −3.33535 1.75637i −0.174820 0.0920588i
\(365\) 0.168317 0.00881009
\(366\) −7.75919 + 15.1069i −0.405579 + 0.789653i
\(367\) −0.890136 + 0.513920i −0.0464647 + 0.0268264i −0.523052 0.852301i \(-0.675207\pi\)
0.476588 + 0.879127i \(0.341873\pi\)
\(368\) 15.1254 3.01048i 0.788465 0.156932i
\(369\) 2.86614 2.86614i 0.149205 0.149205i
\(370\) 0.646708 + 13.1561i 0.0336207 + 0.683954i
\(371\) −0.0915036 0.341496i −0.00475063 0.0177296i
\(372\) 9.02707 + 23.9801i 0.468032 + 1.24331i
\(373\) −5.46186 + 9.46021i −0.282804 + 0.489831i −0.972074 0.234673i \(-0.924598\pi\)
0.689270 + 0.724504i \(0.257931\pi\)
\(374\) −2.12596 6.61594i −0.109931 0.342102i
\(375\) 18.6733 + 5.00349i 0.964285 + 0.258379i
\(376\) −1.67785 1.24415i −0.0865285 0.0641620i
\(377\) 13.3889 11.8875i 0.689563 0.612238i
\(378\) −3.96586 0.856421i −0.203982 0.0440496i
\(379\) 5.77026 21.5349i 0.296398 1.10617i −0.643702 0.765276i \(-0.722602\pi\)
0.940100 0.340898i \(-0.110731\pi\)
\(380\) 10.4442 1.02929i 0.535778 0.0528014i
\(381\) −25.5641 14.7594i −1.30969 0.756149i
\(382\) −5.33239 8.26975i −0.272829 0.423117i
\(383\) 3.10926 0.833123i 0.158876 0.0425706i −0.178505 0.983939i \(-0.557126\pi\)
0.337380 + 0.941369i \(0.390459\pi\)
\(384\) −17.1399 + 6.13673i −0.874665 + 0.313164i
\(385\) −0.736645 0.736645i −0.0375429 0.0375429i
\(386\) 6.66526 7.35441i 0.339253 0.374330i
\(387\) −2.17685 3.77041i −0.110656 0.191661i
\(388\) 21.7258 26.4761i 1.10296 1.34412i
\(389\) 29.1364i 1.47727i −0.674103 0.738637i \(-0.735470\pi\)
0.674103 0.738637i \(-0.264530\pi\)
\(390\) −14.0769 8.32012i −0.712811 0.421305i
\(391\) 18.9451i 0.958097i
\(392\) −11.8291 14.9018i −0.597460 0.752657i
\(393\) −1.74576 3.02375i −0.0880619 0.152528i
\(394\) −19.5484 17.7166i −0.984835 0.892550i
\(395\) 18.7610 + 18.7610i 0.943970 + 0.943970i
\(396\) −0.810379 0.133745i −0.0407231 0.00672094i
\(397\) 24.7618 6.63491i 1.24276 0.332997i 0.423225 0.906025i \(-0.360898\pi\)
0.819536 + 0.573028i \(0.194231\pi\)
\(398\) −13.9488 + 8.99425i −0.699188 + 0.450841i
\(399\) 1.91809 + 1.10741i 0.0960247 + 0.0554399i
\(400\) −3.89517 1.32172i −0.194758 0.0660859i
\(401\) 3.10281 11.5799i 0.154947 0.578270i −0.844163 0.536087i \(-0.819902\pi\)
0.999110 0.0421834i \(-0.0134314\pi\)
\(402\) −5.24319 + 24.2798i −0.261507 + 1.21097i
\(403\) 15.8019 23.9655i 0.787150 1.19381i
\(404\) 0.0774566 + 0.0350896i 0.00385361 + 0.00174577i
\(405\) −14.6287 3.91975i −0.726907 0.194774i
\(406\) −3.49507 + 1.12310i −0.173457 + 0.0557385i
\(407\) −2.33679 + 4.04744i −0.115831 + 0.200624i
\(408\) 3.28347 + 22.1219i 0.162556 + 1.09520i
\(409\) 9.89069 + 36.9125i 0.489063 + 1.82521i 0.561023 + 0.827800i \(0.310408\pi\)
−0.0719596 + 0.997408i \(0.522925\pi\)
\(410\) −27.7841 + 1.36577i −1.37216 + 0.0674503i
\(411\) −10.1122 + 10.1122i −0.498798 + 0.498798i
\(412\) 4.67120 + 6.51784i 0.230133 + 0.321111i
\(413\) 6.52026 3.76447i 0.320841 0.185238i
\(414\) −1.99183 1.02304i −0.0978930 0.0502795i
\(415\) −8.52599 −0.418524
\(416\) 16.8435 + 11.5021i 0.825819 + 0.563935i
\(417\) −22.8412 −1.11854
\(418\) 3.31233 + 1.70127i 0.162012 + 0.0832119i
\(419\) −17.2817 + 9.97759i −0.844266 + 0.487437i −0.858712 0.512458i \(-0.828735\pi\)
0.0144460 + 0.999896i \(0.495402\pi\)
\(420\) 1.95304 + 2.72513i 0.0952987 + 0.132973i
\(421\) 9.79912 9.79912i 0.477580 0.477580i −0.426777 0.904357i \(-0.640351\pi\)
0.904357 + 0.426777i \(0.140351\pi\)
\(422\) 20.2612 0.995969i 0.986301 0.0484830i
\(423\) 0.0784950 + 0.292947i 0.00381656 + 0.0142436i
\(424\) 0.280854 + 1.89221i 0.0136395 + 0.0918937i
\(425\) −2.52648 + 4.37599i −0.122552 + 0.212267i
\(426\) 2.13200 0.685094i 0.103296 0.0331929i
\(427\) −3.76823 1.00970i −0.182358 0.0488626i
\(428\) −27.1026 12.2781i −1.31006 0.593485i
\(429\) −2.59789 5.18770i −0.125427 0.250465i
\(430\) −6.30695 + 29.2058i −0.304148 + 1.40843i
\(431\) −7.21241 + 26.9171i −0.347410 + 1.29655i 0.542362 + 0.840145i \(0.317530\pi\)
−0.889772 + 0.456405i \(0.849137\pi\)
\(432\) 20.7888 + 7.05410i 1.00020 + 0.339391i
\(433\) −16.8245 9.71363i −0.808534 0.466807i 0.0379128 0.999281i \(-0.487929\pi\)
−0.846446 + 0.532474i \(0.821262\pi\)
\(434\) −4.94662 + 3.18961i −0.237445 + 0.153106i
\(435\) −15.3822 + 4.12164i −0.737518 + 0.197617i
\(436\) 18.3472 + 3.02802i 0.878670 + 0.145016i
\(437\) 7.17838 + 7.17838i 0.343388 + 0.343388i
\(438\) −0.142413 0.129068i −0.00680476 0.00616711i
\(439\) −8.78301 15.2126i −0.419190 0.726058i 0.576668 0.816978i \(-0.304353\pi\)
−0.995858 + 0.0909201i \(0.971019\pi\)
\(440\) 3.50456 + 4.41491i 0.167073 + 0.210473i
\(441\) 2.76248i 0.131547i
\(442\) 17.8969 17.5350i 0.851268 0.834056i
\(443\) 0.876303i 0.0416344i 0.999783 + 0.0208172i \(0.00662680\pi\)
−0.999783 + 0.0208172i \(0.993373\pi\)
\(444\) 9.54116 11.6273i 0.452803 0.551809i
\(445\) −7.40173 12.8202i −0.350876 0.607735i
\(446\) 13.7331 15.1530i 0.650280 0.717516i
\(447\) −1.59733 1.59733i −0.0755513 0.0755513i
\(448\) −2.20897 3.55091i −0.104364 0.167765i
\(449\) −20.9697 + 5.61882i −0.989623 + 0.265169i −0.717092 0.696978i \(-0.754527\pi\)
−0.272531 + 0.962147i \(0.587861\pi\)
\(450\) 0.323647 + 0.501929i 0.0152569 + 0.0236612i
\(451\) −8.54769 4.93501i −0.402495 0.232381i
\(452\) 3.25498 0.320781i 0.153101 0.0150883i
\(453\) −2.85979 + 10.6729i −0.134365 + 0.501456i
\(454\) 0.253515 + 0.0547462i 0.0118980 + 0.00256936i
\(455\) 1.18559 3.56415i 0.0555812 0.167090i
\(456\) −9.62617 7.13793i −0.450787 0.334264i
\(457\) 15.7633 + 4.22375i 0.737374 + 0.197579i 0.607911 0.794005i \(-0.292008\pi\)
0.129463 + 0.991584i \(0.458674\pi\)
\(458\) 4.97215 + 15.4733i 0.232333 + 0.723018i
\(459\) 13.4840 23.3550i 0.629379 1.09012i
\(460\) 5.41400 + 14.3821i 0.252429 + 0.670568i
\(461\) 5.22972 + 19.5176i 0.243572 + 0.909025i 0.974096 + 0.226137i \(0.0726097\pi\)
−0.730523 + 0.682888i \(0.760724\pi\)
\(462\) 0.0584051 + 1.18815i 0.00271725 + 0.0552777i
\(463\) 19.6059 19.6059i 0.911163 0.911163i −0.0852007 0.996364i \(-0.527153\pi\)
0.996364 + 0.0852007i \(0.0271532\pi\)
\(464\) 19.4813 3.87745i 0.904395 0.180006i
\(465\) −22.1114 + 12.7660i −1.02539 + 0.592009i
\(466\) 11.8548 23.0810i 0.549163 1.06921i
\(467\) −24.8541 −1.15011 −0.575055 0.818115i \(-0.695019\pi\)
−0.575055 + 0.818115i \(0.695019\pi\)
\(468\) −0.877142 2.82851i −0.0405459 0.130748i
\(469\) −5.70586 −0.263472
\(470\) 0.950941 1.85146i 0.0438636 0.0854014i
\(471\) 0.732570 0.422950i 0.0337551 0.0194885i
\(472\) −37.3749 + 16.2065i −1.72032 + 0.745966i
\(473\) −7.49635 + 7.49635i −0.344682 + 0.344682i
\(474\) −1.48747 30.2600i −0.0683220 1.38989i
\(475\) −0.700786 2.61537i −0.0321543 0.120001i
\(476\) −4.80789 + 1.80988i −0.220369 + 0.0829559i
\(477\) 0.138874 0.240536i 0.00635859 0.0110134i
\(478\) 4.39766 + 13.6855i 0.201144 + 0.625958i
\(479\) −5.69689 1.52648i −0.260297 0.0697465i 0.126310 0.991991i \(-0.459687\pi\)
−0.386608 + 0.922244i \(0.626353\pi\)
\(480\) −8.81445 15.8554i −0.402323 0.723695i
\(481\) −16.8212 0.999158i −0.766981 0.0455577i
\(482\) 14.2593 + 3.07926i 0.649491 + 0.140257i
\(483\) −0.839380 + 3.13261i −0.0381931 + 0.142539i
\(484\) 0.196152 + 1.99036i 0.00891599 + 0.0904708i
\(485\) 29.5553 + 17.0638i 1.34204 + 0.774826i
\(486\) −3.24667 5.03511i −0.147272 0.228397i
\(487\) −15.6485 + 4.19300i −0.709101 + 0.190003i −0.595303 0.803501i \(-0.702968\pi\)
−0.113797 + 0.993504i \(0.536301\pi\)
\(488\) 19.6317 + 7.75589i 0.888687 + 0.351093i
\(489\) −2.62607 2.62607i −0.118755 0.118755i
\(490\) 12.7314 14.0478i 0.575147 0.634614i
\(491\) 9.90859 + 17.1622i 0.447169 + 0.774519i 0.998200 0.0599655i \(-0.0190991\pi\)
−0.551032 + 0.834484i \(0.685766\pi\)
\(492\) 24.5555 + 20.1497i 1.10705 + 0.908420i
\(493\) 24.4011i 1.09897i
\(494\) −0.137105 + 13.4253i −0.00616867 + 0.604031i
\(495\) 0.818428i 0.0367856i
\(496\) 28.5608 14.0888i 1.28242 0.632606i
\(497\) 0.257202 + 0.445487i 0.0115371 + 0.0199828i
\(498\) 7.21386 + 6.53787i 0.323261 + 0.292969i
\(499\) 11.9997 + 11.9997i 0.537180 + 0.537180i 0.922700 0.385519i \(-0.125978\pi\)
−0.385519 + 0.922700i \(0.625978\pi\)
\(500\) 3.91262 23.7071i 0.174978 1.06021i
\(501\) 27.0906 7.25892i 1.21032 0.324304i
\(502\) 27.9670 18.0333i 1.24823 0.804865i
\(503\) −5.34994 3.08879i −0.238542 0.137722i 0.375964 0.926634i \(-0.377311\pi\)
−0.614506 + 0.788912i \(0.710645\pi\)
\(504\) −0.0693406 + 0.603219i −0.00308868 + 0.0268695i
\(505\) −0.0219304 + 0.0818453i −0.000975889 + 0.00364207i
\(506\) −1.15093 + 5.32967i −0.0511652 + 0.236933i
\(507\) 12.5305 16.7507i 0.556497 0.743923i
\(508\) −15.1398 + 33.4196i −0.671722 + 1.48276i
\(509\) 9.92839 + 2.66030i 0.440068 + 0.117916i 0.472048 0.881573i \(-0.343515\pi\)
−0.0319803 + 0.999488i \(0.510181\pi\)
\(510\) −21.2164 + 6.81765i −0.939479 + 0.301890i
\(511\) 0.0220748 0.0382346i 0.000976531 0.00169140i
\(512\) 9.67990 + 20.4524i 0.427795 + 0.903876i
\(513\) 3.74014 + 13.9584i 0.165131 + 0.616279i
\(514\) −24.7225 + 1.21527i −1.09046 + 0.0536033i
\(515\) −5.65009 + 5.65009i −0.248973 + 0.248973i
\(516\) 27.7318 19.8748i 1.22083 0.874940i
\(517\) 0.639562 0.369251i 0.0281279 0.0162396i
\(518\) 3.07335 + 1.57853i 0.135035 + 0.0693564i
\(519\) 34.5460 1.51640
\(520\) −8.57527 + 18.4260i −0.376050 + 0.808035i
\(521\) 11.7850 0.516310 0.258155 0.966103i \(-0.416885\pi\)
0.258155 + 0.966103i \(0.416885\pi\)
\(522\) −2.56544 1.31766i −0.112286 0.0576722i
\(523\) 22.4153 12.9415i 0.980151 0.565890i 0.0778351 0.996966i \(-0.475199\pi\)
0.902316 + 0.431076i \(0.141866\pi\)
\(524\) −3.52729 + 2.52794i −0.154090 + 0.110433i
\(525\) 0.611640 0.611640i 0.0266941 0.0266941i
\(526\) 14.2687 0.701396i 0.622143 0.0305823i
\(527\) −10.1255 37.7888i −0.441073 1.64611i
\(528\) 0.420213 6.42283i 0.0182874 0.279518i
\(529\) 4.06750 7.04511i 0.176848 0.306309i
\(530\) −1.81476 + 0.583151i −0.0788281 + 0.0253305i
\(531\) 5.71328 + 1.53087i 0.247935 + 0.0664340i
\(532\) 1.13595 2.50749i 0.0492498 0.108714i
\(533\) 2.11010 35.5243i 0.0913984 1.53873i
\(534\) −3.56811 + 16.5230i −0.154407 + 0.715018i
\(535\) 7.67361 28.6383i 0.331759 1.23814i
\(536\) 30.6711 + 3.52567i 1.32479 + 0.152286i
\(537\) −25.6515 14.8099i −1.10695 0.639095i
\(538\) 18.5040 11.9315i 0.797763 0.514403i
\(539\) 6.49753 1.74101i 0.279869 0.0749906i
\(540\) −3.56208 + 21.5831i −0.153288 + 0.928791i
\(541\) 10.0989 + 10.0989i 0.434185 + 0.434185i 0.890049 0.455864i \(-0.150670\pi\)
−0.455864 + 0.890049i \(0.650670\pi\)
\(542\) 17.1949 + 15.5837i 0.738585 + 0.669375i
\(543\) −13.6167 23.5849i −0.584350 1.01212i
\(544\) 26.9625 6.75798i 1.15601 0.289746i
\(545\) 18.5294i 0.793712i
\(546\) −3.73618 + 2.10651i −0.159894 + 0.0901502i
\(547\) 19.2566i 0.823352i 0.911330 + 0.411676i \(0.135056\pi\)
−0.911330 + 0.411676i \(0.864944\pi\)
\(548\) 13.7405 + 11.2752i 0.586966 + 0.481653i
\(549\) −1.53240 2.65419i −0.0654012 0.113278i
\(550\) 0.976598 1.07757i 0.0416423 0.0459479i
\(551\) 9.24564 + 9.24564i 0.393877 + 0.393877i
\(552\) 6.44763 16.3203i 0.274429 0.694637i
\(553\) 6.72225 1.80122i 0.285859 0.0765958i
\(554\) −1.27162 1.97209i −0.0540259 0.0837862i
\(555\) 12.9796 + 7.49378i 0.550953 + 0.318093i
\(556\) 2.78431 + 28.2525i 0.118081 + 1.19817i
\(557\) 3.67043 13.6982i 0.155521 0.580413i −0.843539 0.537068i \(-0.819532\pi\)
0.999060 0.0433449i \(-0.0138014\pi\)
\(558\) −4.51976 0.976036i −0.191337 0.0413189i
\(559\) −36.2700 12.0649i −1.53406 0.510292i
\(560\) 3.13266 2.74792i 0.132379 0.116121i
\(561\) −7.63753 2.04647i −0.322457 0.0864020i
\(562\) −1.68871 5.25524i −0.0712339 0.221679i
\(563\) 0.847297 1.46756i 0.0357093 0.0618504i −0.847618 0.530606i \(-0.821964\pi\)
0.883328 + 0.468756i \(0.155298\pi\)
\(564\) −2.22432 + 0.837326i −0.0936609 + 0.0352578i
\(565\) 0.843528 + 3.14809i 0.0354875 + 0.132441i
\(566\) −0.0118728 0.241531i −0.000499051 0.0101523i
\(567\) −2.80897 + 2.80897i −0.117966 + 0.117966i
\(568\) −1.10729 2.55358i −0.0464607 0.107146i
\(569\) −15.4297 + 8.90835i −0.646847 + 0.373457i −0.787247 0.616637i \(-0.788494\pi\)
0.140400 + 0.990095i \(0.455161\pi\)
\(570\) 5.45574 10.6222i 0.228516 0.444915i
\(571\) 31.3670 1.31267 0.656333 0.754471i \(-0.272107\pi\)
0.656333 + 0.754471i \(0.272107\pi\)
\(572\) −6.10003 + 3.84572i −0.255055 + 0.160798i
\(573\) −11.1961 −0.467725
\(574\) −3.33365 + 6.49053i −0.139144 + 0.270909i
\(575\) 3.43355 1.98236i 0.143189 0.0826703i
\(576\) 0.745463 3.19968i 0.0310609 0.133320i
\(577\) −7.76190 + 7.76190i −0.323132 + 0.323132i −0.849967 0.526835i \(-0.823378\pi\)
0.526835 + 0.849967i \(0.323378\pi\)
\(578\) −0.496119 10.0927i −0.0206358 0.419799i
\(579\) −2.92295 10.9086i −0.121474 0.453346i
\(580\) 6.97315 + 18.5239i 0.289544 + 0.769163i
\(581\) −1.11819 + 1.93676i −0.0463902 + 0.0803501i
\(582\) −11.9220 37.1012i −0.494184 1.53789i
\(583\) −0.653280 0.175046i −0.0270561 0.00724966i
\(584\) −0.142285 + 0.191885i −0.00588781 + 0.00794026i
\(585\) 2.63853 1.32132i 0.109090 0.0546298i
\(586\) 35.1715 + 7.59524i 1.45292 + 0.313756i
\(587\) −7.30417 + 27.2595i −0.301475 + 1.12512i 0.634462 + 0.772954i \(0.281222\pi\)
−0.935937 + 0.352167i \(0.885445\pi\)
\(588\) −21.5442 + 2.12320i −0.888466 + 0.0875592i
\(589\) 18.1549 + 10.4817i 0.748059 + 0.431892i
\(590\) −21.9979 34.1155i −0.905640 1.40451i
\(591\) −28.9957 + 7.76936i −1.19272 + 0.319589i
\(592\) −15.5450 10.3842i −0.638896 0.426787i
\(593\) 19.9229 + 19.9229i 0.818134 + 0.818134i 0.985837 0.167704i \(-0.0536352\pi\)
−0.167704 + 0.985837i \(0.553635\pi\)
\(594\) −5.21217 + 5.75108i −0.213858 + 0.235970i
\(595\) −2.55952 4.43322i −0.104930 0.181744i
\(596\) −1.78104 + 2.17047i −0.0729544 + 0.0889059i
\(597\) 18.8848i 0.772902i
\(598\) −19.0404 + 4.89403i −0.778622 + 0.200132i
\(599\) 13.5315i 0.552880i −0.961031 0.276440i \(-0.910845\pi\)
0.961031 0.276440i \(-0.0891548\pi\)
\(600\) −3.66572 + 2.90985i −0.149652 + 0.118794i
\(601\) 23.1812 + 40.1510i 0.945581 + 1.63779i 0.754584 + 0.656204i \(0.227839\pi\)
0.190997 + 0.981591i \(0.438828\pi\)
\(602\) 5.80720 + 5.26303i 0.236684 + 0.214505i
\(603\) −3.16967 3.16967i −0.129079 0.129079i
\(604\) 13.5500 + 2.23629i 0.551341 + 0.0909933i
\(605\) −1.92500 + 0.515802i −0.0782624 + 0.0209703i
\(606\) 0.0813157 0.0524329i 0.00330323 0.00212994i
\(607\) 9.36787 + 5.40854i 0.380230 + 0.219526i 0.677918 0.735137i \(-0.262882\pi\)
−0.297688 + 0.954663i \(0.596216\pi\)
\(608\) −7.65555 + 12.7768i −0.310474 + 0.518167i
\(609\) −1.08111 + 4.03475i −0.0438087 + 0.163496i
\(610\) −4.43979 + 20.5595i −0.179762 + 0.832429i
\(611\) 2.22297 + 1.46574i 0.0899319 + 0.0592976i
\(612\) −3.67624 1.66542i −0.148603 0.0673208i
\(613\) −21.6583 5.80334i −0.874772 0.234395i −0.206622 0.978421i \(-0.566247\pi\)
−0.668150 + 0.744026i \(0.732914\pi\)
\(614\) 26.7704 8.60235i 1.08037 0.347163i
\(615\) −15.8259 + 27.4113i −0.638162 + 1.10533i
\(616\) 1.46251 0.217075i 0.0589263 0.00874622i
\(617\) −0.303979 1.13447i −0.0122377 0.0456718i 0.959537 0.281583i \(-0.0908594\pi\)
−0.971775 + 0.235911i \(0.924193\pi\)
\(618\) 9.11314 0.447969i 0.366584 0.0180200i
\(619\) 32.3813 32.3813i 1.30152 1.30152i 0.374147 0.927370i \(-0.377936\pi\)
0.927370 0.374147i \(-0.122064\pi\)
\(620\) 18.4857 + 25.7936i 0.742404 + 1.03589i
\(621\) −18.3251 + 10.5800i −0.735361 + 0.424561i
\(622\) 11.5184 + 5.91606i 0.461846 + 0.237212i
\(623\) −3.88296 −0.155567
\(624\) 21.3850 9.01465i 0.856083 0.360875i
\(625\) 18.8009 0.752037
\(626\) −5.72085 2.93833i −0.228651 0.117439i
\(627\) 3.66930 2.11847i 0.146538 0.0846035i
\(628\) −0.612449 0.854565i −0.0244394 0.0341009i
\(629\) −16.2387 + 16.2387i −0.647479 + 0.647479i
\(630\) −0.604307 + 0.0297056i −0.0240762 + 0.00118350i
\(631\) 9.53975 + 35.6028i 0.379772 + 1.41733i 0.846246 + 0.532792i \(0.178857\pi\)
−0.466475 + 0.884535i \(0.654476\pi\)
\(632\) −37.2476 + 5.52852i −1.48163 + 0.219913i
\(633\) 11.5409 19.9894i 0.458708 0.794506i
\(634\) −25.8070 + 8.29278i −1.02493 + 0.329348i
\(635\) −35.3132 9.46214i −1.40136 0.375493i
\(636\) 1.98264 + 0.898183i 0.0786169 + 0.0356153i
\(637\) 16.1028 + 18.1366i 0.638017 + 0.718599i
\(638\) −1.48238 + 6.86453i −0.0586882 + 0.271769i
\(639\) −0.104594 + 0.390351i −0.00413769 + 0.0154421i
\(640\) −18.5372 + 12.8354i −0.732746 + 0.507364i
\(641\) 31.2097 + 18.0189i 1.23271 + 0.711704i 0.967593 0.252513i \(-0.0812571\pi\)
0.265114 + 0.964217i \(0.414590\pi\)
\(642\) −28.4530 + 18.3467i −1.12295 + 0.724086i
\(643\) −42.4207 + 11.3666i −1.67291 + 0.448254i −0.965892 0.258944i \(-0.916625\pi\)
−0.707015 + 0.707198i \(0.749959\pi\)
\(644\) 3.97707 + 0.656376i 0.156719 + 0.0258648i
\(645\) 24.0398 + 24.0398i 0.946564 + 0.946564i
\(646\) 13.5578 + 12.2874i 0.533426 + 0.483440i
\(647\) −0.0930004 0.161081i −0.00365622 0.00633276i 0.864192 0.503163i \(-0.167830\pi\)
−0.867848 + 0.496830i \(0.834497\pi\)
\(648\) 16.8349 13.3636i 0.661338 0.524971i
\(649\) 14.4028i 0.565360i
\(650\) 5.05066 + 1.40876i 0.198103 + 0.0552560i
\(651\) 6.69706i 0.262478i
\(652\) −2.92810 + 3.56832i −0.114673 + 0.139746i
\(653\) 9.32020 + 16.1431i 0.364727 + 0.631727i 0.988732 0.149694i \(-0.0478288\pi\)
−0.624005 + 0.781420i \(0.714495\pi\)
\(654\) 14.2087 15.6778i 0.555603 0.613049i
\(655\) −3.05768 3.05768i −0.119474 0.119474i
\(656\) 21.9301 32.8291i 0.856226 1.28176i
\(657\) 0.0335025 0.00897698i 0.00130706 0.000350225i
\(658\) −0.295859 0.458834i −0.0115338 0.0178872i
\(659\) −39.7827 22.9686i −1.54972 0.894729i −0.998163 0.0605884i \(-0.980702\pi\)
−0.551553 0.834140i \(-0.685964\pi\)
\(660\) 6.38281 0.629032i 0.248450 0.0244850i
\(661\) 2.19350 8.18624i 0.0853171 0.318408i −0.910057 0.414483i \(-0.863962\pi\)
0.995374 + 0.0960755i \(0.0306290\pi\)
\(662\) 32.1791 + 6.94902i 1.25068 + 0.270081i
\(663\) −5.73285 27.9266i −0.222646 1.08458i
\(664\) 7.20739 9.71984i 0.279701 0.377203i
\(665\) 2.64957 + 0.709950i 0.102746 + 0.0275307i
\(666\) 0.830391 + 2.58417i 0.0321770 + 0.100134i
\(667\) −9.57295 + 16.5808i −0.370666 + 0.642013i
\(668\) −12.2809 32.6238i −0.475163 1.26225i
\(669\) −6.02244 22.4761i −0.232841 0.868974i
\(670\) 1.51040 + 30.7264i 0.0583519 + 1.18707i
\(671\) −5.27707 + 5.27707i −0.203719 + 0.203719i
\(672\) −4.75771 0.0771529i −0.183533 0.00297624i
\(673\) −10.7168 + 6.18737i −0.413104 + 0.238505i −0.692122 0.721780i \(-0.743324\pi\)
0.279019 + 0.960286i \(0.409991\pi\)
\(674\) 4.18770 8.15335i 0.161304 0.314055i
\(675\) 5.64370 0.217226
\(676\) −22.2465 13.4571i −0.855633 0.517582i
\(677\) −17.5580 −0.674809 −0.337404 0.941360i \(-0.609549\pi\)
−0.337404 + 0.941360i \(0.609549\pi\)
\(678\) 1.70030 3.31044i 0.0652996 0.127137i
\(679\) 7.75238 4.47584i 0.297509 0.171767i
\(680\) 11.0191 + 25.4117i 0.422562 + 0.974495i
\(681\) 0.208672 0.208672i 0.00799634 0.00799634i
\(682\) 0.552809 + 11.2459i 0.0211682 + 0.430629i
\(683\) 0.593475 + 2.21488i 0.0227087 + 0.0847500i 0.976350 0.216195i \(-0.0693646\pi\)
−0.953642 + 0.300945i \(0.902698\pi\)
\(684\) 2.02397 0.761907i 0.0773886 0.0291322i
\(685\) −8.85572 + 15.3386i −0.338360 + 0.586056i
\(686\) −3.10451 9.66118i −0.118531 0.368866i
\(687\) 17.8625 + 4.78625i 0.681498 + 0.182607i
\(688\) −27.9638 31.8790i −1.06611 1.21538i
\(689\) −0.490363 2.38871i −0.0186813 0.0910028i
\(690\) 17.0915 + 3.69089i 0.650663 + 0.140510i
\(691\) −6.48677 + 24.2089i −0.246768 + 0.920952i 0.725718 + 0.687992i \(0.241508\pi\)
−0.972486 + 0.232960i \(0.925159\pi\)
\(692\) −4.21110 42.7302i −0.160082 1.62436i
\(693\) −0.185913 0.107337i −0.00706227 0.00407740i
\(694\) −20.4098 31.6527i −0.774747 1.20152i
\(695\) −27.3247 + 7.32164i −1.03649 + 0.277725i
\(696\) 8.30445 21.0203i 0.314779 0.796771i
\(697\) −34.2940 34.2940i −1.29898 1.29898i
\(698\) −15.8325 + 17.4695i −0.599267 + 0.661229i
\(699\) −14.7619 25.5684i −0.558348 0.967086i
\(700\) −0.831100 0.681984i −0.0314126 0.0257766i
\(701\) 42.5639i 1.60762i −0.594888 0.803808i \(-0.702804\pi\)
0.594888 0.803808i \(-0.297196\pi\)
\(702\) −26.9557 7.51863i −1.01738 0.283772i
\(703\) 12.3058i 0.464121i
\(704\) −7.99567 + 0.263168i −0.301348 + 0.00991851i
\(705\) −1.18414 2.05099i −0.0445972 0.0772446i
\(706\) −32.7867 29.7144i −1.23394 1.11831i
\(707\) 0.0157157 + 0.0157157i 0.000591051 + 0.000591051i
\(708\) −7.54788 + 45.7336i −0.283667 + 1.71878i
\(709\) −33.3991 + 8.94926i −1.25433 + 0.336096i −0.824007 0.566579i \(-0.808266\pi\)
−0.430321 + 0.902676i \(0.641600\pi\)
\(710\) 2.33089 1.50298i 0.0874769 0.0564057i
\(711\) 4.73488 + 2.73369i 0.177572 + 0.102521i
\(712\) 20.8723 + 2.39930i 0.782224 + 0.0899175i
\(713\) −7.94480 + 29.6504i −0.297535 + 1.11042i
\(714\) −1.23385 + 5.71364i −0.0461758 + 0.213828i
\(715\) −4.77072 5.37326i −0.178415 0.200949i
\(716\) −15.1916 + 33.5339i −0.567738 + 1.25322i
\(717\) 15.7987 + 4.23324i 0.590012 + 0.158093i
\(718\) 34.5600 11.1054i 1.28977 0.414451i
\(719\) 1.77374 3.07220i 0.0661492 0.114574i −0.831054 0.556192i \(-0.812262\pi\)
0.897203 + 0.441618i \(0.145595\pi\)
\(720\) 3.26673 + 0.213726i 0.121744 + 0.00796509i
\(721\) 0.542458 + 2.02448i 0.0202022 + 0.0753956i
\(722\) 17.0448 0.837862i 0.634343 0.0311820i
\(723\) 11.7370 11.7370i 0.436504 0.436504i
\(724\) −27.5125 + 19.7176i −1.02249 + 0.732799i
\(725\) 4.42236 2.55325i 0.164242 0.0948254i
\(726\) 2.02427 + 1.03970i 0.0751278 + 0.0385869i
\(727\) −22.3884 −0.830341 −0.415170 0.909744i \(-0.636278\pi\)
−0.415170 + 0.909744i \(0.636278\pi\)
\(728\) 3.06099 + 4.36453i 0.113448 + 0.161760i
\(729\) −29.6149 −1.09685
\(730\) −0.211740 0.108753i −0.00783684 0.00402513i
\(731\) −45.1139 + 26.0465i −1.66860 + 0.963366i
\(732\) 19.5219 13.9909i 0.721549 0.517119i
\(733\) 18.4937 18.4937i 0.683080 0.683080i −0.277613 0.960693i \(-0.589543\pi\)
0.960693 + 0.277613i \(0.0895433\pi\)
\(734\) 1.45183 0.0713669i 0.0535881 0.00263420i
\(735\) −5.58318 20.8367i −0.205939 0.768573i
\(736\) −20.9726 5.98571i −0.773062 0.220636i
\(737\) −5.45763 + 9.45290i −0.201035 + 0.348202i
\(738\) −5.45743 + 1.75368i −0.200891 + 0.0645539i
\(739\) 15.0672 + 4.03725i 0.554257 + 0.148513i 0.525066 0.851061i \(-0.324040\pi\)
0.0291902 + 0.999574i \(0.490707\pi\)
\(740\) 7.68692 16.9681i 0.282577 0.623758i
\(741\) 12.7537 + 8.40927i 0.468517 + 0.308922i
\(742\) −0.105538 + 0.488720i −0.00387443 + 0.0179415i
\(743\) −3.56524 + 13.3056i −0.130796 + 0.488137i −0.999980 0.00635215i \(-0.997978\pi\)
0.869184 + 0.494489i \(0.164645\pi\)
\(744\) 4.13814 35.9992i 0.151712 1.31979i
\(745\) −2.42290 1.39886i −0.0887680 0.0512502i
\(746\) 12.9834 8.37178i 0.475356 0.306512i
\(747\) −1.69705 + 0.454724i −0.0620919 + 0.0166375i
\(748\) −1.60029 + 9.69639i −0.0585125 + 0.354535i
\(749\) −5.49905 5.49905i −0.200931 0.200931i
\(750\) −20.2578 18.3596i −0.739712 0.670396i
\(751\) −16.5706 28.7011i −0.604669 1.04732i −0.992104 0.125421i \(-0.959972\pi\)
0.387434 0.921897i \(-0.373361\pi\)
\(752\) 1.30684 + 2.64922i 0.0476554 + 0.0966069i
\(753\) 37.8635i 1.37982i
\(754\) −24.5238 + 6.30344i −0.893104 + 0.229558i
\(755\) 13.6846i 0.498032i
\(756\) 4.43564 + 3.63980i 0.161323 + 0.132378i
\(757\) −24.3113 42.1083i −0.883608 1.53045i −0.847301 0.531113i \(-0.821774\pi\)
−0.0363067 0.999341i \(-0.511559\pi\)
\(758\) −21.1731 + 23.3623i −0.769041 + 0.848556i
\(759\) 4.38693 + 4.38693i 0.159236 + 0.159236i
\(760\) −13.8037 5.45343i −0.500714 0.197817i
\(761\) −40.9838 + 10.9816i −1.48566 + 0.398082i −0.908269 0.418386i \(-0.862596\pi\)
−0.577391 + 0.816468i \(0.695929\pi\)
\(762\) 22.6228 + 35.0847i 0.819539 + 1.27098i
\(763\) 4.20912 + 2.43014i 0.152380 + 0.0879769i
\(764\) 1.36479 + 13.8486i 0.0493764 + 0.501024i
\(765\) 1.04086 3.88454i 0.0376324 0.140446i
\(766\) −4.44970 0.960905i −0.160774 0.0347189i
\(767\) 46.4333 23.2528i 1.67661 0.839608i
\(768\) 25.5268 + 3.35453i 0.921118 + 0.121046i
\(769\) −4.07272 1.09128i −0.146866 0.0393526i 0.184637 0.982807i \(-0.440889\pi\)
−0.331503 + 0.943454i \(0.607556\pi\)
\(770\) 0.450725 + 1.40265i 0.0162430 + 0.0505480i
\(771\) −14.0820 + 24.3908i −0.507152 + 0.878413i
\(772\) −13.1366 + 4.94517i −0.472798 + 0.177980i
\(773\) −0.430082 1.60509i −0.0154690 0.0577309i 0.957760 0.287569i \(-0.0928470\pi\)
−0.973229 + 0.229838i \(0.926180\pi\)
\(774\) 0.302294 + 6.14964i 0.0108657 + 0.221044i
\(775\) 5.78922 5.78922i 0.207955 0.207955i
\(776\) −44.4375 + 19.2690i −1.59521 + 0.691718i
\(777\) 3.40456 1.96562i 0.122138 0.0705163i
\(778\) −18.8257 + 36.6532i −0.674934 + 1.31408i
\(779\) 25.9882 0.931125
\(780\) 12.3327 + 19.5620i 0.441582 + 0.700431i
\(781\) 0.984051 0.0352121
\(782\) −12.2409 + 23.8327i −0.437733 + 0.852256i
\(783\) −23.6025 + 13.6269i −0.843483 + 0.486985i
\(784\) 5.25240 + 26.3893i 0.187586 + 0.942476i
\(785\) 0.740793 0.740793i 0.0264400 0.0264400i
\(786\) 0.242430 + 4.93180i 0.00864718 + 0.175911i
\(787\) −1.46522 5.46826i −0.0522293 0.194923i 0.934882 0.354959i \(-0.115505\pi\)
−0.987111 + 0.160037i \(0.948839\pi\)
\(788\) 13.1445 + 34.9179i 0.468254 + 1.24390i
\(789\) 8.12748 14.0772i 0.289346 0.501162i
\(790\) −11.4792 35.7230i −0.408410 1.27097i
\(791\) 0.825747 + 0.221258i 0.0293602 + 0.00786703i
\(792\) 0.933029 + 0.691854i 0.0331537 + 0.0245839i
\(793\) −25.5323 8.49313i −0.906680 0.301600i
\(794\) −35.4370 7.65256i −1.25761 0.271579i
\(795\) −0.561348 + 2.09498i −0.0199090 + 0.0743013i
\(796\) 23.3587 2.30202i 0.827928 0.0815931i
\(797\) 11.0901 + 6.40290i 0.392833 + 0.226802i 0.683387 0.730056i \(-0.260506\pi\)
−0.290554 + 0.956859i \(0.593840\pi\)
\(798\) −1.69741 2.63243i −0.0600875 0.0931869i
\(799\) 3.50518 0.939211i 0.124005 0.0332269i
\(800\) 4.04607 + 4.17946i 0.143050 + 0.147766i
\(801\) −2.15703 2.15703i −0.0762148 0.0762148i
\(802\) −11.3853 + 12.5625i −0.402029 + 0.443597i
\(803\) −0.0422289 0.0731426i −0.00149023 0.00258115i
\(804\) 22.2836 27.1559i 0.785882 0.957715i
\(805\) 4.01657i 0.141566i
\(806\) −35.3632 + 19.9383i −1.24562 + 0.702296i
\(807\) 25.0519i 0.881869i
\(808\) −0.0747670 0.0941886i −0.00263029 0.00331354i
\(809\) 12.7731 + 22.1236i 0.449077 + 0.777824i 0.998326 0.0578347i \(-0.0184196\pi\)
−0.549249 + 0.835658i \(0.685086\pi\)
\(810\) 15.8701 + 14.3829i 0.557617 + 0.505365i
\(811\) 21.4388 + 21.4388i 0.752818 + 0.752818i 0.975004 0.222186i \(-0.0713192\pi\)
−0.222186 + 0.975004i \(0.571319\pi\)
\(812\) 5.12241 + 0.845402i 0.179761 + 0.0296678i
\(813\) 25.5048 6.83399i 0.894492 0.239678i
\(814\) 5.55480 3.58177i 0.194695 0.125541i
\(815\) −3.98332 2.29977i −0.139530 0.0805575i
\(816\) 10.1629 29.9505i 0.355772 1.04848i
\(817\) 7.22469 26.9629i 0.252760 0.943313i
\(818\) 11.4077 52.8260i 0.398861 1.84702i
\(819\) 0.0458949 0.772658i 0.00160370 0.0269988i
\(820\) 35.8344 + 16.2338i 1.25139 + 0.566909i
\(821\) −7.87869 2.11109i −0.274968 0.0736775i 0.118700 0.992930i \(-0.462127\pi\)
−0.393668 + 0.919253i \(0.628794\pi\)
\(822\) 19.2547 6.18727i 0.671585 0.215806i
\(823\) 4.36028 7.55222i 0.151990 0.263254i −0.779969 0.625818i \(-0.784765\pi\)
0.931959 + 0.362564i \(0.118099\pi\)
\(824\) −1.66497 11.2175i −0.0580021 0.390780i
\(825\) −0.428273 1.59834i −0.0149105 0.0556469i
\(826\) −10.6347 + 0.522763i −0.370028 + 0.0181893i
\(827\) −20.5196 + 20.5196i −0.713535 + 0.713535i −0.967273 0.253738i \(-0.918340\pi\)
0.253738 + 0.967273i \(0.418340\pi\)
\(828\) 1.84468 + 2.57393i 0.0641071 + 0.0894503i
\(829\) 31.2312 18.0314i 1.08471 0.626255i 0.152544 0.988297i \(-0.451254\pi\)
0.932162 + 0.362042i \(0.117920\pi\)
\(830\) 10.7256 + 5.50883i 0.372290 + 0.191214i
\(831\) −2.66995 −0.0926195
\(832\) −13.7571 25.3524i −0.476942 0.878935i
\(833\) 33.0537 1.14524
\(834\) 28.7339 + 14.7582i 0.994972 + 0.511035i
\(835\) 30.0815 17.3676i 1.04101 0.601029i
\(836\) −3.06764 4.28035i −0.106096 0.148039i
\(837\) −30.8975 + 30.8975i −1.06797 + 1.06797i
\(838\) 28.1869 1.38556i 0.973699 0.0478635i
\(839\) −7.69512 28.7186i −0.265665 0.991475i −0.961842 0.273605i \(-0.911784\pi\)
0.696177 0.717870i \(-0.254883\pi\)
\(840\) −0.696131 4.69008i −0.0240188 0.161823i
\(841\) 2.17019 3.75888i 0.0748341 0.129616i
\(842\) −18.6586 + 5.99571i −0.643017 + 0.206626i
\(843\) −6.06672 1.62557i −0.208949 0.0559877i
\(844\) −26.1318 11.8383i −0.899494 0.407492i
\(845\) 9.62073 24.0552i 0.330963 0.827525i
\(846\) 0.0905343 0.419241i 0.00311263 0.0144138i
\(847\) −0.135295 + 0.504929i −0.00464880 + 0.0173496i
\(848\) 0.869289 2.56183i 0.0298515 0.0879738i
\(849\) −0.238290 0.137577i −0.00817810 0.00472163i
\(850\) 6.00570 3.87252i 0.205994 0.132826i
\(851\) 17.4051 4.66368i 0.596639 0.159869i
\(852\) −3.12468 0.515698i −0.107050 0.0176675i
\(853\) −13.1930 13.1930i −0.451720 0.451720i 0.444205 0.895925i \(-0.353486\pi\)
−0.895925 + 0.444205i \(0.853486\pi\)
\(854\) 4.08799 + 3.70492i 0.139888 + 0.126780i
\(855\) 1.07748 + 1.86625i 0.0368491 + 0.0638244i
\(856\) 26.1615 + 32.9573i 0.894183 + 1.12646i
\(857\) 28.0516i 0.958223i 0.877754 + 0.479112i \(0.159041\pi\)
−0.877754 + 0.479112i \(0.840959\pi\)
\(858\) −0.0837895 + 8.20460i −0.00286053 + 0.280101i
\(859\) 1.74088i 0.0593980i 0.999559 + 0.0296990i \(0.00945487\pi\)
−0.999559 + 0.0296990i \(0.990545\pi\)
\(860\) 26.8046 32.6654i 0.914028 1.11388i
\(861\) 4.15115 + 7.19000i 0.141471 + 0.245034i
\(862\) 26.4648 29.2012i 0.901396 0.994596i
\(863\) 18.3964 + 18.3964i 0.626220 + 0.626220i 0.947115 0.320895i \(-0.103984\pi\)
−0.320895 + 0.947115i \(0.603984\pi\)
\(864\) −21.5941 22.3060i −0.734648 0.758867i
\(865\) 41.3271 11.0735i 1.40516 0.376512i
\(866\) 14.8888 + 23.0903i 0.505941 + 0.784640i
\(867\) −9.95724 5.74882i −0.338166 0.195240i
\(868\) 8.28365 0.816362i 0.281165 0.0277091i
\(869\) 3.44573 12.8596i 0.116888 0.436233i
\(870\) 22.0136 + 4.75380i 0.746331 + 0.161169i
\(871\) −39.2863 2.33356i −1.33117 0.0790696i
\(872\) −21.1240 15.6637i −0.715348 0.530440i
\(873\) 6.79291 + 1.82015i 0.229905 + 0.0616029i
\(874\) −4.39218 13.6684i −0.148568 0.462340i
\(875\) 3.14007 5.43877i 0.106154 0.183864i
\(876\) 0.0957597 + 0.254382i 0.00323542 + 0.00859477i
\(877\) 9.74175 + 36.3567i 0.328955 + 1.22768i 0.910275 + 0.414003i \(0.135870\pi\)
−0.581320 + 0.813675i \(0.697464\pi\)
\(878\) 1.21968 + 24.8121i 0.0411621 + 0.837369i
\(879\) 28.9503 28.9503i 0.976468 0.976468i
\(880\) −1.55611 7.81827i −0.0524564 0.263554i
\(881\) −19.8782 + 11.4767i −0.669714 + 0.386659i −0.795968 0.605338i \(-0.793038\pi\)
0.126254 + 0.991998i \(0.459704\pi\)
\(882\) 1.78490 3.47515i 0.0601007 0.117015i
\(883\) 44.2432 1.48890 0.744451 0.667677i \(-0.232711\pi\)
0.744451 + 0.667677i \(0.232711\pi\)
\(884\) −33.8438 + 10.4952i −1.13829 + 0.352993i
\(885\) −46.1879 −1.55259
\(886\) 0.566199 1.10238i 0.0190218 0.0370351i
\(887\) 20.6935 11.9474i 0.694819 0.401154i −0.110596 0.993865i \(-0.535276\pi\)
0.805415 + 0.592712i \(0.201943\pi\)
\(888\) −19.5153 + 8.46225i −0.654891 + 0.283975i
\(889\) −6.78075 + 6.78075i −0.227419 + 0.227419i
\(890\) 1.02786 + 20.9100i 0.0344540 + 0.700905i
\(891\) 1.96685 + 7.34040i 0.0658921 + 0.245913i
\(892\) −27.0667 + 10.1890i −0.906260 + 0.341153i
\(893\) −0.972255 + 1.68400i −0.0325353 + 0.0563528i
\(894\) 0.977349 + 3.04150i 0.0326874 + 0.101723i
\(895\) −35.4340 9.49450i −1.18443 0.317366i
\(896\) 0.484527 + 5.89425i 0.0161869 + 0.196913i
\(897\) −7.06052 + 21.2256i −0.235744 + 0.708701i
\(898\) 30.0101 + 6.48062i 1.00145 + 0.216261i
\(899\) −10.2328 + 38.1893i −0.341282 + 1.27368i
\(900\) −0.0828355 0.840535i −0.00276118 0.0280178i
\(901\) −2.87807 1.66166i −0.0958825 0.0553578i
\(902\) 7.56424 + 11.7310i 0.251862 + 0.390600i
\(903\) 8.61367 2.30803i 0.286645 0.0768063i
\(904\) −4.30197 1.69958i −0.143082 0.0565271i
\(905\) −23.8496 23.8496i −0.792788 0.792788i
\(906\) 10.4936 11.5785i 0.348625 0.384672i
\(907\) 15.7893 + 27.3478i 0.524274 + 0.908069i 0.999601 + 0.0282597i \(0.00899654\pi\)
−0.475327 + 0.879809i \(0.657670\pi\)
\(908\) −0.283545 0.232672i −0.00940978 0.00772148i
\(909\) 0.0174605i 0.000579129i
\(910\) −3.79433 + 3.71761i −0.125781 + 0.123238i
\(911\) 55.9196i 1.85270i −0.376664 0.926350i \(-0.622929\pi\)
0.376664 0.926350i \(-0.377071\pi\)
\(912\) 7.49760 + 15.1991i 0.248270 + 0.503292i
\(913\) 2.13908 + 3.70500i 0.0707933 + 0.122618i
\(914\) −17.1009 15.4984i −0.565647 0.512642i
\(915\) 16.9228 + 16.9228i 0.559452 + 0.559452i
\(916\) 3.74274 22.6778i 0.123664 0.749294i
\(917\) −1.09560 + 0.293564i −0.0361798 + 0.00969435i
\(918\) −32.0529 + 20.6679i −1.05790 + 0.682142i
\(919\) 30.7066 + 17.7285i 1.01292 + 0.584808i 0.912044 0.410091i \(-0.134503\pi\)
0.100873 + 0.994899i \(0.467837\pi\)
\(920\) 2.48186 21.5906i 0.0818244 0.711820i
\(921\) 8.28073 30.9041i 0.272859 1.01832i
\(922\) 6.03184 27.9319i 0.198648 0.919887i
\(923\) 1.58871 + 3.17248i 0.0522930 + 0.104424i
\(924\) 0.694217 1.53241i 0.0228381 0.0504126i
\(925\) −4.64221 1.24388i −0.152635 0.0408984i
\(926\) −37.3317 + 11.9961i −1.22680 + 0.394216i
\(927\) −0.823279 + 1.42596i −0.0270400 + 0.0468347i
\(928\) −27.0124 7.70950i −0.886727 0.253077i
\(929\) −9.64246 35.9861i −0.316359 1.18067i −0.922718 0.385476i \(-0.874037\pi\)
0.606359 0.795191i \(-0.292629\pi\)
\(930\) 36.0641 1.77278i 1.18259 0.0581319i
\(931\) −12.5242 + 12.5242i −0.410463 + 0.410463i
\(932\) −29.8263 + 21.3759i −0.976994 + 0.700191i
\(933\) 12.7597 7.36684i 0.417735 0.241179i
\(934\) 31.2661 + 16.0588i 1.02306 + 0.525460i
\(935\) −9.79270 −0.320255
\(936\) −0.724130 + 4.12496i −0.0236689 + 0.134829i
\(937\) 45.7168 1.49350 0.746751 0.665104i \(-0.231613\pi\)
0.746751 + 0.665104i \(0.231613\pi\)
\(938\) 7.17788 + 3.68668i 0.234366 + 0.120374i
\(939\) −6.33738 + 3.65889i −0.206813 + 0.119403i
\(940\) −2.39254 + 1.71468i −0.0780360 + 0.0559268i
\(941\) −9.36557 + 9.36557i −0.305309 + 0.305309i −0.843087 0.537778i \(-0.819264\pi\)
0.537778 + 0.843087i \(0.319264\pi\)
\(942\) −1.19484 + 0.0587340i −0.0389300 + 0.00191366i
\(943\) 9.84911 + 36.7574i 0.320731 + 1.19698i
\(944\) 57.4884 + 3.76118i 1.87109 + 0.122416i
\(945\) −2.85875 + 4.95150i −0.0929952 + 0.161072i
\(946\) 14.2738 4.58673i 0.464083 0.149127i
\(947\) −43.8511 11.7499i −1.42497 0.381819i −0.537725 0.843120i \(-0.680716\pi\)
−0.887244 + 0.461301i \(0.847383\pi\)
\(948\) −17.6805 + 39.0277i −0.574235 + 1.26756i
\(949\) 0.167628 0.254227i 0.00544143 0.00825257i
\(950\) −0.808271 + 3.74289i −0.0262238 + 0.121435i
\(951\) −7.98273 + 29.7919i −0.258858 + 0.966070i
\(952\) 7.21766 + 0.829677i 0.233926 + 0.0268900i
\(953\) −16.1377 9.31712i −0.522752 0.301811i 0.215308 0.976546i \(-0.430925\pi\)
−0.738060 + 0.674735i \(0.764258\pi\)
\(954\) −0.330117 + 0.212861i −0.0106879 + 0.00689164i
\(955\) −13.3938 + 3.58887i −0.433414 + 0.116133i
\(956\) 3.31029 20.0575i 0.107063 0.648706i
\(957\) 5.65030 + 5.65030i 0.182648 + 0.182648i
\(958\) 6.18031 + 5.60117i 0.199677 + 0.180966i
\(959\) 2.32286 + 4.02331i 0.0750091 + 0.129920i
\(960\) 0.843943 + 25.6410i 0.0272381 + 0.827560i
\(961\) 32.3882i 1.04478i
\(962\) 20.5152 + 12.1255i 0.661438 + 0.390941i
\(963\) 6.10957i 0.196878i
\(964\) −15.9483 13.0869i −0.513662 0.421500i
\(965\) −6.99341 12.1129i −0.225126 0.389929i
\(966\) 3.07998 3.39843i 0.0990966 0.109343i
\(967\) −2.18567 2.18567i −0.0702863 0.0702863i 0.671090 0.741376i \(-0.265827\pi\)
−0.741376 + 0.671090i \(0.765827\pi\)
\(968\) 1.03926 2.63058i 0.0334031 0.0845500i
\(969\) 20.1100 5.38845i 0.646025 0.173102i
\(970\) −26.1548 40.5623i −0.839781 1.30238i
\(971\) −47.8924 27.6507i −1.53694 0.887353i −0.999016 0.0443603i \(-0.985875\pi\)
−0.537925 0.842993i \(-0.680792\pi\)
\(972\) 0.830966 + 8.43184i 0.0266532 + 0.270451i
\(973\) −1.92047 + 7.16729i −0.0615675 + 0.229773i
\(974\) 22.3948 + 4.83611i 0.717574 + 0.154959i
\(975\) 4.46145 3.96115i 0.142881 0.126858i
\(976\) −19.6852 22.4413i −0.630107 0.718329i
\(977\) −11.5942 3.10666i −0.370932 0.0993909i 0.0685374 0.997649i \(-0.478167\pi\)
−0.439469 + 0.898258i \(0.644833\pi\)
\(978\) 1.60679 + 5.00032i 0.0513796 + 0.159893i
\(979\) −3.71404 + 6.43291i −0.118701 + 0.205597i
\(980\) −25.0925 + 9.44584i −0.801551 + 0.301736i
\(981\) 0.988245 + 3.68818i 0.0315522 + 0.117755i
\(982\) −1.37598 27.9919i −0.0439094 0.893259i
\(983\) −20.2043 + 20.2043i −0.644419 + 0.644419i −0.951639 0.307220i \(-0.900601\pi\)
0.307220 + 0.951639i \(0.400601\pi\)
\(984\) −17.8712 41.2139i −0.569713 1.31385i
\(985\) −32.1968 + 18.5888i −1.02588 + 0.592290i
\(986\) −15.7661 + 30.6962i −0.502094 + 0.977565i
\(987\) −0.621200 −0.0197730
\(988\) 8.84684 16.8002i 0.281455 0.534485i
\(989\) 40.8740 1.29972
\(990\) −0.528805 + 1.02957i −0.0168065 + 0.0327219i
\(991\) 31.5447 18.2123i 1.00205 0.578534i 0.0931957 0.995648i \(-0.470292\pi\)
0.908854 + 0.417114i \(0.136958\pi\)
\(992\) −45.0321 0.730258i −1.42977 0.0231857i
\(993\) 26.4871 26.4871i 0.840543 0.840543i
\(994\) −0.0357170 0.726599i −0.00113288 0.0230463i
\(995\) 6.05342 + 22.5917i 0.191906 + 0.716204i
\(996\) −4.85066 12.8856i −0.153699 0.408295i
\(997\) 5.95763 10.3189i 0.188680 0.326803i −0.756130 0.654421i \(-0.772912\pi\)
0.944810 + 0.327618i \(0.106246\pi\)
\(998\) −7.34216 22.8487i −0.232412 0.723264i
\(999\) 24.7758 + 6.63865i 0.783871 + 0.210038i
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 572.2.bf.a.67.11 yes 280
4.3 odd 2 inner 572.2.bf.a.67.2 280
13.7 odd 12 inner 572.2.bf.a.111.2 yes 280
52.7 even 12 inner 572.2.bf.a.111.11 yes 280
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
572.2.bf.a.67.2 280 4.3 odd 2 inner
572.2.bf.a.67.11 yes 280 1.1 even 1 trivial
572.2.bf.a.111.2 yes 280 13.7 odd 12 inner
572.2.bf.a.111.11 yes 280 52.7 even 12 inner