Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(3,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([21, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.x (of order \(60\), degree \(16\), 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: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 103.17 | ||
Character | \(\chi\) | \(=\) | 175.103 |
Dual form | 175.2.x.a.17.17 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{7}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.20567 | + | 0.115594i | 1.55965 | + | 0.0817376i | 0.812516 | − | 0.582939i | \(-0.198097\pi\) |
0.747131 | + | 0.664677i | \(0.231431\pi\) | |||||||
\(3\) | −1.65814 | − | 2.04764i | −0.957329 | − | 1.18220i | −0.983199 | − | 0.182538i | \(-0.941569\pi\) |
0.0258697 | − | 0.999665i | \(-0.491764\pi\) | |||||||
\(4\) | 2.86259 | + | 0.300870i | 1.43130 | + | 0.150435i | ||||
\(5\) | 0.294959 | − | 2.21653i | 0.131910 | − | 0.991262i | ||||
\(6\) | −3.42063 | − | 4.70809i | −1.39646 | − | 1.92207i | ||||
\(7\) | −1.02854 | + | 2.43764i | −0.388753 | + | 0.921342i | ||||
\(8\) | 1.91615 | + | 0.303488i | 0.677460 | + | 0.107299i | ||||
\(9\) | −0.819640 | + | 3.85610i | −0.273213 | + | 1.28537i | ||||
\(10\) | 0.906801 | − | 4.85484i | 0.286756 | − | 1.53524i | ||||
\(11\) | 4.32300 | − | 0.918881i | 1.30343 | − | 0.277053i | 0.496675 | − | 0.867936i | \(-0.334554\pi\) |
0.806757 | + | 0.590883i | \(0.201221\pi\) | |||||||
\(12\) | −4.13051 | − | 6.36043i | −1.19238 | − | 1.83610i | ||||
\(13\) | 1.80815 | + | 0.921296i | 0.501489 | + | 0.255522i | 0.686387 | − | 0.727236i | \(-0.259195\pi\) |
−0.184898 | + | 0.982758i | \(0.559195\pi\) | |||||||
\(14\) | −2.55041 | + | 5.25775i | −0.681626 | + | 1.40519i | ||||
\(15\) | −5.02773 | + | 3.07135i | −1.29815 | + | 0.793020i | ||||
\(16\) | −1.43961 | − | 0.305998i | −0.359902 | − | 0.0764995i | ||||
\(17\) | −0.163951 | − | 0.427108i | −0.0397641 | − | 0.103589i | 0.912261 | − | 0.409610i | \(-0.134335\pi\) |
−0.952025 | + | 0.306022i | \(0.901002\pi\) | |||||||
\(18\) | −2.25360 | + | 8.41056i | −0.531179 | + | 1.98239i | ||||
\(19\) | 0.752481 | + | 7.15938i | 0.172631 | + | 1.64247i | 0.647246 | + | 0.762281i | \(0.275921\pi\) |
−0.474615 | + | 0.880194i | \(0.657413\pi\) | |||||||
\(20\) | 1.51123 | − | 6.25627i | 0.337922 | − | 1.39894i | ||||
\(21\) | 6.69688 | − | 1.93587i | 1.46138 | − | 0.422442i | ||||
\(22\) | 9.64134 | − | 1.52704i | 2.05554 | − | 0.325566i | ||||
\(23\) | −0.214582 | + | 4.09447i | −0.0447434 | + | 0.853756i | 0.880422 | + | 0.474191i | \(0.157259\pi\) |
−0.925165 | + | 0.379564i | \(0.876074\pi\) | |||||||
\(24\) | −2.55581 | − | 4.42679i | −0.521703 | − | 0.903616i | ||||
\(25\) | −4.82600 | − | 1.30757i | −0.965200 | − | 0.261514i | ||||
\(26\) | 3.88168 | + | 2.24109i | 0.761261 | + | 0.439514i | ||||
\(27\) | 2.21206 | − | 1.12710i | 0.425711 | − | 0.216911i | ||||
\(28\) | −3.67771 | + | 6.66851i | −0.695023 | + | 1.26023i | ||||
\(29\) | 4.82859 | − | 6.64598i | 0.896646 | − | 1.23413i | −0.0748793 | − | 0.997193i | \(-0.523857\pi\) |
0.971525 | − | 0.236935i | \(-0.0761429\pi\) | |||||||
\(30\) | −11.4446 | + | 6.19322i | −2.08948 | + | 1.13072i | ||||
\(31\) | 0.349313 | − | 0.784569i | 0.0627384 | − | 0.140913i | −0.879455 | − | 0.475982i | \(-0.842093\pi\) |
0.942194 | + | 0.335069i | \(0.108760\pi\) | |||||||
\(32\) | −6.88779 | − | 1.84558i | −1.21760 | − | 0.326255i | ||||
\(33\) | −9.04968 | − | 7.32829i | −1.57535 | − | 1.27569i | ||||
\(34\) | −0.312252 | − | 0.961013i | −0.0535508 | − | 0.164812i | ||||
\(35\) | 5.09972 | + | 2.99880i | 0.862011 | + | 0.506890i | ||||
\(36\) | −3.50648 | + | 10.7918i | −0.584413 | + | 1.79864i | ||||
\(37\) | −5.20221 | + | 3.37835i | −0.855238 | + | 0.555398i | −0.896143 | − | 0.443765i | \(-0.853643\pi\) |
0.0409051 | + | 0.999163i | \(0.486976\pi\) | |||||||
\(38\) | 0.832143 | + | 15.8782i | 0.134991 | + | 2.57579i | ||||
\(39\) | −1.11168 | − | 5.23006i | −0.178012 | − | 0.837481i | ||||
\(40\) | 1.23787 | − | 4.15768i | 0.195725 | − | 0.657386i | ||||
\(41\) | 0.382586 | − | 0.124310i | 0.0597500 | − | 0.0194139i | −0.278990 | − | 0.960294i | \(-0.589999\pi\) |
0.338739 | + | 0.940880i | \(0.389999\pi\) | |||||||
\(42\) | 14.9949 | − | 3.49579i | 2.31376 | − | 0.539411i | ||||
\(43\) | −1.61939 | − | 1.61939i | −0.246954 | − | 0.246954i | 0.572765 | − | 0.819719i | \(-0.305871\pi\) |
−0.819719 | + | 0.572765i | \(0.805871\pi\) | |||||||
\(44\) | 12.6514 | − | 1.32972i | 1.90728 | − | 0.200463i | ||||
\(45\) | 8.30540 | + | 2.95415i | 1.23810 | + | 0.440378i | ||||
\(46\) | −0.946596 | + | 9.00626i | −0.139568 | + | 1.32790i | ||||
\(47\) | −8.18475 | − | 3.14183i | −1.19387 | − | 0.458283i | −0.321396 | − | 0.946945i | \(-0.604152\pi\) |
−0.872473 | + | 0.488662i | \(0.837485\pi\) | |||||||
\(48\) | 1.76050 | + | 3.45518i | 0.254107 | + | 0.498712i | ||||
\(49\) | −4.88419 | − | 5.01444i | −0.697742 | − | 0.716349i | ||||
\(50\) | −10.4934 | − | 3.44193i | −1.48400 | − | 0.486762i | ||||
\(51\) | −0.602707 | + | 1.04392i | −0.0843958 | + | 0.146178i | ||||
\(52\) | 4.89879 | + | 3.18131i | 0.679340 | + | 0.441169i | ||||
\(53\) | 0.148119 | − | 0.119944i | 0.0203457 | − | 0.0164756i | −0.619094 | − | 0.785317i | \(-0.712500\pi\) |
0.639439 | + | 0.768842i | \(0.279167\pi\) | |||||||
\(54\) | 5.00937 | − | 2.23031i | 0.681688 | − | 0.303507i | ||||
\(55\) | −0.761621 | − | 9.85308i | −0.102697 | − | 1.32859i | ||||
\(56\) | −2.71063 | + | 4.35873i | −0.362224 | + | 0.582459i | ||||
\(57\) | 13.4121 | − | 13.4121i | 1.77647 | − | 1.77647i | ||||
\(58\) | 11.4185 | − | 14.1007i | 1.49933 | − | 1.85151i | ||||
\(59\) | −2.29736 | + | 2.55148i | −0.299091 | + | 0.332174i | −0.873893 | − | 0.486119i | \(-0.838412\pi\) |
0.574802 | + | 0.818292i | \(0.305079\pi\) | |||||||
\(60\) | −15.3164 | + | 7.27933i | −1.97734 | + | 0.939758i | ||||
\(61\) | −0.888527 | + | 0.800034i | −0.113764 | + | 0.102434i | −0.724050 | − | 0.689748i | \(-0.757721\pi\) |
0.610285 | + | 0.792182i | \(0.291055\pi\) | |||||||
\(62\) | 0.861162 | − | 1.69013i | 0.109368 | − | 0.214646i | ||||
\(63\) | −8.55676 | − | 5.96416i | −1.07805 | − | 0.751413i | ||||
\(64\) | −12.1794 | − | 3.95733i | −1.52242 | − | 0.494666i | ||||
\(65\) | 2.57541 | − | 3.73606i | 0.319440 | − | 0.463401i | ||||
\(66\) | −19.1135 | − | 17.2099i | −2.35271 | − | 2.11839i | ||||
\(67\) | 4.00821 | − | 1.53861i | 0.489680 | − | 0.187971i | −0.100984 | − | 0.994888i | \(-0.532199\pi\) |
0.590664 | + | 0.806917i | \(0.298866\pi\) | |||||||
\(68\) | −0.340822 | − | 1.27196i | −0.0413307 | − | 0.154248i | ||||
\(69\) | 8.73979 | − | 6.34983i | 1.05215 | − | 0.764429i | ||||
\(70\) | 10.9017 | + | 7.20388i | 1.30300 | + | 0.861028i | ||||
\(71\) | 0.544222 | + | 0.395400i | 0.0645873 | + | 0.0469254i | 0.619610 | − | 0.784910i | \(-0.287291\pi\) |
−0.555023 | + | 0.831835i | \(0.687291\pi\) | |||||||
\(72\) | −2.74083 | + | 7.14010i | −0.323010 | + | 0.841469i | ||||
\(73\) | 9.23683 | − | 14.2235i | 1.08109 | − | 1.66473i | 0.437903 | − | 0.899022i | \(-0.355721\pi\) |
0.643186 | − | 0.765710i | \(-0.277612\pi\) | |||||||
\(74\) | −11.8649 | + | 6.85020i | −1.37927 | + | 0.796320i | ||||
\(75\) | 5.32477 | + | 12.0500i | 0.614851 | + | 1.39142i | ||||
\(76\) | 20.7208i | 2.37684i | ||||||||
\(77\) | −2.20649 | + | 11.4830i | −0.251453 | + | 1.30861i | ||||
\(78\) | −1.84745 | − | 11.6643i | −0.209182 | − | 1.32072i | ||||
\(79\) | 5.67847 | + | 12.7540i | 0.638878 | + | 1.43494i | 0.884948 | + | 0.465691i | \(0.154194\pi\) |
−0.246070 | + | 0.969252i | \(0.579139\pi\) | |||||||
\(80\) | −1.10288 | + | 3.10068i | −0.123306 | + | 0.346666i | ||||
\(81\) | 4.82847 | + | 2.14977i | 0.536497 | + | 0.238864i | ||||
\(82\) | 0.858230 | − | 0.229962i | 0.0947757 | − | 0.0253951i | ||||
\(83\) | −0.785870 | + | 4.96179i | −0.0862605 | + | 0.544627i | 0.906277 | + | 0.422685i | \(0.138912\pi\) |
−0.992537 | + | 0.121942i | \(0.961088\pi\) | |||||||
\(84\) | 19.7529 | − | 3.52672i | 2.15521 | − | 0.384797i | ||||
\(85\) | −0.995056 | + | 0.237424i | −0.107929 | + | 0.0257522i | ||||
\(86\) | −3.38465 | − | 3.75903i | −0.364976 | − | 0.405347i | ||||
\(87\) | −21.6150 | + | 1.13280i | −2.31737 | + | 0.121448i | ||||
\(88\) | 8.56236 | − | 0.448734i | 0.912751 | − | 0.0478352i | ||||
\(89\) | 0.0463981 | + | 0.0515303i | 0.00491819 | + | 0.00546220i | 0.745599 | − | 0.666395i | \(-0.232164\pi\) |
−0.740681 | + | 0.671857i | \(0.765497\pi\) | |||||||
\(90\) | 17.9775 | + | 7.47594i | 1.89500 | + | 0.788033i | ||||
\(91\) | −4.10555 | + | 3.46002i | −0.430378 | + | 0.362708i | ||||
\(92\) | −1.84616 | + | 11.6562i | −0.192476 | + | 1.21525i | ||||
\(93\) | −2.18572 | + | 0.585663i | −0.226649 | + | 0.0607304i | ||||
\(94\) | −17.6897 | − | 7.87597i | −1.82455 | − | 0.812344i | ||||
\(95\) | 16.0909 | + | 0.443826i | 1.65089 | + | 0.0455356i | ||||
\(96\) | 7.64186 | + | 17.1639i | 0.779944 | + | 1.75178i | ||||
\(97\) | 0.650222 | + | 4.10534i | 0.0660200 | + | 0.416834i | 0.998458 | + | 0.0555051i | \(0.0176769\pi\) |
−0.932438 | + | 0.361329i | \(0.882323\pi\) | |||||||
\(98\) | −10.1933 | − | 11.6248i | −1.02968 | − | 1.17428i | ||||
\(99\) | 17.4231i | 1.75108i | ||||||||
\(100\) | −13.4214 | − | 5.19504i | −1.34214 | − | 0.519504i | ||||
\(101\) | 0.945816 | − | 0.546067i | 0.0941122 | − | 0.0543357i | −0.452205 | − | 0.891914i | \(-0.649363\pi\) |
0.546317 | + | 0.837578i | \(0.316029\pi\) | |||||||
\(102\) | −1.45005 | + | 2.23287i | −0.143576 | + | 0.221088i | ||||
\(103\) | −0.795315 | + | 2.07187i | −0.0783647 | + | 0.204147i | −0.967166 | − | 0.254146i | \(-0.918206\pi\) |
0.888801 | + | 0.458293i | \(0.151539\pi\) | |||||||
\(104\) | 3.18507 | + | 2.31409i | 0.312322 | + | 0.226915i | ||||
\(105\) | −2.31562 | − | 15.4148i | −0.225981 | − | 1.50433i | ||||
\(106\) | 0.340567 | − | 0.247436i | 0.0330788 | − | 0.0240331i | ||||
\(107\) | −3.45022 | − | 12.8764i | −0.333545 | − | 1.24481i | −0.905438 | − | 0.424479i | \(-0.860457\pi\) |
0.571893 | − | 0.820328i | \(-0.306209\pi\) | |||||||
\(108\) | 6.67133 | − | 2.56088i | 0.641949 | − | 0.246421i | ||||
\(109\) | −11.5453 | − | 10.3954i | −1.10584 | − | 0.995701i | −0.999999 | − | 0.00131716i | \(-0.999581\pi\) |
−0.105838 | − | 0.994383i | \(-0.533753\pi\) | |||||||
\(110\) | −0.540926 | − | 21.8207i | −0.0515752 | − | 2.08052i | ||||
\(111\) | 15.5436 | + | 5.05044i | 1.47534 | + | 0.479366i | ||||
\(112\) | 2.22661 | − | 3.19452i | 0.210395 | − | 0.301853i | ||||
\(113\) | −3.35748 | + | 6.58942i | −0.315845 | + | 0.619880i | −0.993284 | − | 0.115698i | \(-0.963090\pi\) |
0.677440 | + | 0.735578i | \(0.263090\pi\) | |||||||
\(114\) | 31.1330 | − | 28.0323i | 2.91588 | − | 2.62547i | ||||
\(115\) | 9.01221 | + | 1.68333i | 0.840393 | + | 0.156971i | ||||
\(116\) | 15.8218 | − | 17.5719i | 1.46902 | − | 1.63151i | ||||
\(117\) | −5.03464 | + | 6.21726i | −0.465453 | + | 0.574786i | ||||
\(118\) | −5.36216 | + | 5.36216i | −0.493627 | + | 0.493627i | ||||
\(119\) | 1.20977 | + | 0.0396446i | 0.110899 | + | 0.00363422i | ||||
\(120\) | −10.5660 | + | 4.35931i | −0.964537 | + | 0.397948i | ||||
\(121\) | 7.79496 | − | 3.47054i | 0.708632 | − | 0.315503i | ||||
\(122\) | −2.05228 | + | 1.66190i | −0.185805 | + | 0.150462i | ||||
\(123\) | −0.888924 | − | 0.577274i | −0.0801516 | − | 0.0520511i | ||||
\(124\) | 1.23599 | − | 2.14080i | 0.110995 | − | 0.192250i | ||||
\(125\) | −4.32174 | + | 10.3113i | −0.386548 | + | 0.922269i | ||||
\(126\) | −18.1840 | − | 14.1441i | −1.61996 | − | 1.26006i | ||||
\(127\) | −7.99013 | − | 15.6815i | −0.709009 | − | 1.39151i | −0.911118 | − | 0.412146i | \(-0.864780\pi\) |
0.202109 | − | 0.979363i | \(-0.435220\pi\) | |||||||
\(128\) | −13.0921 | − | 5.02557i | −1.15718 | − | 0.444202i | ||||
\(129\) | −0.630740 | + | 6.00109i | −0.0555335 | + | 0.528366i | ||||
\(130\) | 6.11238 | − | 7.94283i | 0.536091 | − | 0.696632i | ||||
\(131\) | −0.146341 | + | 0.0153810i | −0.0127858 | + | 0.00134385i | −0.110919 | − | 0.993829i | \(-0.535379\pi\) |
0.0981334 | + | 0.995173i | \(0.468713\pi\) | |||||||
\(132\) | −23.7007 | − | 23.7007i | −2.06288 | − | 2.06288i | ||||
\(133\) | −18.2260 | − | 5.52946i | −1.58039 | − | 0.479465i | ||||
\(134\) | 9.01865 | − | 2.93034i | 0.779093 | − | 0.253143i | ||||
\(135\) | −1.84578 | − | 5.23554i | −0.158860 | − | 0.450604i | ||||
\(136\) | −0.184533 | − | 0.868158i | −0.0158236 | − | 0.0744440i | ||||
\(137\) | 0.741183 | + | 14.1426i | 0.0633235 | + | 1.20828i | 0.826818 | + | 0.562470i | \(0.190149\pi\) |
−0.763494 | + | 0.645815i | \(0.776518\pi\) | |||||||
\(138\) | 20.0111 | − | 12.9954i | 1.70346 | − | 1.10624i | ||||
\(139\) | −4.99346 | + | 15.3683i | −0.423539 | + | 1.30352i | 0.480846 | + | 0.876805i | \(0.340329\pi\) |
−0.904386 | + | 0.426716i | \(0.859671\pi\) | |||||||
\(140\) | 13.6962 | + | 10.1187i | 1.15754 | + | 0.855186i | ||||
\(141\) | 7.13816 | + | 21.9690i | 0.601142 | + | 1.85012i | ||||
\(142\) | 1.15467 | + | 0.935033i | 0.0968977 | + | 0.0784663i | ||||
\(143\) | 8.66317 | + | 2.32129i | 0.724451 | + | 0.194116i | ||||
\(144\) | 2.35992 | − | 5.30047i | 0.196660 | − | 0.441705i | ||||
\(145\) | −13.3068 | − | 12.6630i | −1.10507 | − | 1.05160i | ||||
\(146\) | 22.0176 | − | 30.3046i | 1.82219 | − | 2.50803i | ||||
\(147\) | −2.16906 | + | 18.3157i | −0.178901 | + | 1.51065i | ||||
\(148\) | −15.9082 | + | 8.10566i | −1.30765 | + | 0.666281i | ||||
\(149\) | 4.31194 | + | 2.48950i | 0.353248 | + | 0.203948i | 0.666115 | − | 0.745849i | \(-0.267956\pi\) |
−0.312867 | + | 0.949797i | \(0.601289\pi\) | |||||||
\(150\) | 10.3518 | + | 27.1939i | 0.845220 | + | 2.22038i | ||||
\(151\) | −1.69473 | − | 2.93535i | −0.137915 | − | 0.238876i | 0.788792 | − | 0.614660i | \(-0.210707\pi\) |
−0.926707 | + | 0.375784i | \(0.877373\pi\) | |||||||
\(152\) | −0.730920 | + | 13.9468i | −0.0592855 | + | 1.13123i | ||||
\(153\) | 1.78135 | − | 0.282139i | 0.144014 | − | 0.0228096i | ||||
\(154\) | −6.19417 | + | 25.0728i | −0.499140 | + | 2.02042i | ||||
\(155\) | −1.63599 | − | 1.00568i | −0.131406 | − | 0.0807780i | ||||
\(156\) | −1.60873 | − | 15.3060i | −0.128801 | − | 1.22546i | ||||
\(157\) | 3.32127 | − | 12.3952i | 0.265067 | − | 0.989242i | −0.697143 | − | 0.716932i | \(-0.745546\pi\) |
0.962210 | − | 0.272310i | \(-0.0877876\pi\) | |||||||
\(158\) | 11.0506 | + | 28.7877i | 0.879135 | + | 2.29022i | ||||
\(159\) | −0.491204 | − | 0.104409i | −0.0389550 | − | 0.00828015i | ||||
\(160\) | −6.12239 | + | 14.7226i | −0.484017 | + | 1.16392i | ||||
\(161\) | −9.76014 | − | 4.73442i | −0.769207 | − | 0.373124i | ||||
\(162\) | 10.4015 | + | 5.29984i | 0.817221 | + | 0.416395i | ||||
\(163\) | 6.96627 | + | 10.7271i | 0.545640 | + | 0.840212i | 0.998685 | − | 0.0512758i | \(-0.0163287\pi\) |
−0.453044 | + | 0.891488i | \(0.649662\pi\) | |||||||
\(164\) | 1.13259 | − | 0.240739i | 0.0884404 | − | 0.0187986i | ||||
\(165\) | −18.9126 | + | 17.8973i | −1.47235 | + | 1.39331i | ||||
\(166\) | −2.30693 | + | 10.8532i | −0.179052 | + | 0.842375i | ||||
\(167\) | −2.96449 | − | 0.469529i | −0.229399 | − | 0.0363333i | 0.0406764 | − | 0.999172i | \(-0.487049\pi\) |
−0.270076 | + | 0.962839i | \(0.587049\pi\) | |||||||
\(168\) | 13.4197 | − | 1.67700i | 1.03535 | − | 0.129383i | ||||
\(169\) | −5.22060 | − | 7.18555i | −0.401585 | − | 0.552734i | ||||
\(170\) | −2.22221 | + | 0.408656i | −0.170436 | + | 0.0313425i | ||||
\(171\) | −28.2241 | − | 2.96647i | −2.15835 | − | 0.226852i | ||||
\(172\) | −4.14841 | − | 5.12287i | −0.316314 | − | 0.390615i | ||||
\(173\) | 23.8732 | + | 1.25114i | 1.81504 | + | 0.0951224i | 0.929362 | − | 0.369170i | \(-0.120358\pi\) |
0.885682 | + | 0.464292i | \(0.153691\pi\) | |||||||
\(174\) | −47.8067 | −3.62421 | ||||||||
\(175\) | 8.15114 | − | 10.4192i | 0.616168 | − | 0.787615i | ||||
\(176\) | −6.50460 | −0.490302 | ||||||||
\(177\) | 9.03384 | + | 0.473444i | 0.679025 | + | 0.0355862i | ||||
\(178\) | 0.0963825 | + | 0.119022i | 0.00722417 | + | 0.00892111i | ||||
\(179\) | 7.74655 | + | 0.814195i | 0.579004 | + | 0.0608558i | 0.389504 | − | 0.921025i | \(-0.372646\pi\) |
0.189501 | + | 0.981881i | \(0.439313\pi\) | |||||||
\(180\) | 22.8861 | + | 10.9554i | 1.70583 | + | 0.816564i | ||||
\(181\) | −4.21567 | − | 5.80237i | −0.313348 | − | 0.431287i | 0.623074 | − | 0.782163i | \(-0.285884\pi\) |
−0.936422 | + | 0.350877i | \(0.885884\pi\) | |||||||
\(182\) | −9.45546 | + | 7.15709i | −0.700885 | + | 0.530519i | ||||
\(183\) | 3.11148 | + | 0.492810i | 0.230007 | + | 0.0364296i | ||||
\(184\) | −1.65379 | + | 7.78048i | −0.121919 | + | 0.573584i | ||||
\(185\) | 5.95378 | + | 12.5273i | 0.437731 | + | 0.921027i | ||||
\(186\) | −4.88869 | + | 1.03912i | −0.358456 | + | 0.0761922i | ||||
\(187\) | −1.10122 | − | 1.69573i | −0.0805294 | − | 0.124004i | ||||
\(188\) | −22.4843 | − | 11.4563i | −1.63984 | − | 0.835539i | ||||
\(189\) | 0.472267 | + | 6.55148i | 0.0343523 | + | 0.476550i | ||||
\(190\) | 35.4400 | + | 2.83896i | 2.57109 | + | 0.205960i | ||||
\(191\) | −5.54874 | − | 1.17942i | −0.401492 | − | 0.0853398i | 0.00273980 | − | 0.999996i | \(-0.499128\pi\) |
−0.404232 | + | 0.914656i | \(0.632461\pi\) | |||||||
\(192\) | 12.0920 | + | 31.5008i | 0.872666 | + | 2.27337i | ||||
\(193\) | −0.772169 | + | 2.88177i | −0.0555819 | + | 0.207435i | −0.988132 | − | 0.153605i | \(-0.950912\pi\) |
0.932550 | + | 0.361040i | \(0.117578\pi\) | |||||||
\(194\) | 0.959623 | + | 9.13020i | 0.0688969 | + | 0.655510i | ||||
\(195\) | −11.9205 | + | 0.921427i | −0.853644 | + | 0.0659848i | ||||
\(196\) | −12.4727 | − | 15.8238i | −0.890911 | − | 1.13027i | ||||
\(197\) | 4.91053 | − | 0.777752i | 0.349861 | − | 0.0554125i | 0.0209692 | − | 0.999780i | \(-0.493325\pi\) |
0.328892 | + | 0.944368i | \(0.393325\pi\) | |||||||
\(198\) | −2.01401 | + | 38.4296i | −0.143129 | + | 2.73107i | ||||
\(199\) | −5.51403 | − | 9.55057i | −0.390879 | − | 0.677022i | 0.601687 | − | 0.798732i | \(-0.294496\pi\) |
−0.992566 | + | 0.121710i | \(0.961162\pi\) | |||||||
\(200\) | −8.85049 | − | 3.97012i | −0.625824 | − | 0.280730i | ||||
\(201\) | −9.79668 | − | 5.65612i | −0.691005 | − | 0.398952i | ||||
\(202\) | 2.14928 | − | 1.09511i | 0.151223 | − | 0.0770520i | ||||
\(203\) | 11.2341 | + | 18.6061i | 0.788480 | + | 1.30589i | ||||
\(204\) | −2.03939 | + | 2.80698i | −0.142786 | + | 0.196528i | ||||
\(205\) | −0.162689 | − | 0.884680i | −0.0113627 | − | 0.0617887i | ||||
\(206\) | −1.99370 | + | 4.47793i | −0.138908 | + | 0.311992i | ||||
\(207\) | −15.6128 | − | 4.18344i | −1.08517 | − | 0.290769i | ||||
\(208\) | −2.32111 | − | 1.87959i | −0.160940 | − | 0.130326i | ||||
\(209\) | 9.83160 | + | 30.2585i | 0.680066 | + | 2.09303i | ||||
\(210\) | −3.32563 | − | 34.2677i | −0.229490 | − | 2.36470i | ||||
\(211\) | 4.10913 | − | 12.6466i | 0.282884 | − | 0.870628i | −0.704141 | − | 0.710060i | \(-0.748668\pi\) |
0.987025 | − | 0.160567i | \(-0.0513324\pi\) | |||||||
\(212\) | 0.460091 | − | 0.298787i | 0.0315992 | − | 0.0205208i | ||||
\(213\) | −0.0927617 | − | 1.77000i | −0.00635593 | − | 0.121278i | ||||
\(214\) | −6.12162 | − | 28.7999i | −0.418465 | − | 1.96872i | ||||
\(215\) | −4.06707 | + | 3.11176i | −0.277372 | + | 0.212221i | ||||
\(216\) | 4.58069 | − | 1.48836i | 0.311676 | − | 0.101270i | ||||
\(217\) | 1.55322 | + | 1.65846i | 0.105439 | + | 0.112584i | ||||
\(218\) | −24.2635 | − | 24.2635i | −1.64333 | − | 1.64333i | ||||
\(219\) | −44.4405 | + | 4.67088i | −3.00301 | + | 0.315629i | ||||
\(220\) | 0.784291 | − | 28.4345i | 0.0528769 | − | 1.91705i | ||||
\(221\) | 0.0970450 | − | 0.923321i | 0.00652795 | − | 0.0621093i | ||||
\(222\) | 33.7004 | + | 12.9364i | 2.26182 | + | 0.868233i | ||||
\(223\) | −7.91299 | − | 15.5301i | −0.529893 | − | 1.03997i | −0.988484 | − | 0.151326i | \(-0.951646\pi\) |
0.458591 | − | 0.888648i | \(-0.348354\pi\) | |||||||
\(224\) | 11.5832 | − | 14.8917i | 0.773938 | − | 0.994993i | ||||
\(225\) | 8.99770 | − | 17.5378i | 0.599847 | − | 1.16919i | ||||
\(226\) | −8.16720 | + | 14.1460i | −0.543274 | + | 0.940978i | ||||
\(227\) | 17.4115 | + | 11.3072i | 1.15564 | + | 0.750483i | 0.972569 | − | 0.232616i | \(-0.0747285\pi\) |
0.183074 | + | 0.983099i | \(0.441395\pi\) | |||||||
\(228\) | 42.4286 | − | 34.3580i | 2.80990 | − | 2.27541i | ||||
\(229\) | −14.7892 | + | 6.58456i | −0.977295 | + | 0.435120i | −0.832308 | − | 0.554314i | \(-0.812981\pi\) |
−0.144987 | + | 0.989434i | \(0.546314\pi\) | |||||||
\(230\) | 19.6834 | + | 4.75463i | 1.29789 | + | 0.313511i | ||||
\(231\) | 27.1717 | − | 14.5224i | 1.78777 | − | 0.955504i | ||||
\(232\) | 11.2693 | − | 11.2693i | 0.739863 | − | 0.739863i | ||||
\(233\) | 5.42935 | − | 6.70469i | 0.355689 | − | 0.439239i | −0.567624 | − | 0.823288i | \(-0.692137\pi\) |
0.923313 | + | 0.384049i | \(0.125471\pi\) | |||||||
\(234\) | −11.8235 | + | 13.1313i | −0.772923 | + | 0.858418i | ||||
\(235\) | −9.37813 | + | 17.2150i | −0.611762 | + | 1.12298i | ||||
\(236\) | −7.34406 | + | 6.61262i | −0.478058 | + | 0.430445i | ||||
\(237\) | 16.6999 | − | 32.7755i | 1.08478 | − | 2.12900i | ||||
\(238\) | 2.66377 | + | 0.227286i | 0.172667 | + | 0.0147327i | ||||
\(239\) | −2.88402 | − | 0.937075i | −0.186552 | − | 0.0606144i | 0.214251 | − | 0.976779i | \(-0.431269\pi\) |
−0.400803 | + | 0.916164i | \(0.631269\pi\) | |||||||
\(240\) | 8.17778 | − | 2.88307i | 0.527874 | − | 0.186101i | ||||
\(241\) | 16.9338 | + | 15.2472i | 1.09080 | + | 0.982160i | 0.999906 | − | 0.0137010i | \(-0.00436129\pi\) |
0.0908927 | + | 0.995861i | \(0.471028\pi\) | |||||||
\(242\) | 17.5943 | − | 6.75382i | 1.13100 | − | 0.434152i | ||||
\(243\) | −5.53201 | − | 20.6458i | −0.354879 | − | 1.32443i | ||||
\(244\) | −2.78420 | + | 2.02284i | −0.178240 | + | 0.129499i | ||||
\(245\) | −12.5553 | + | 9.34690i | −0.802128 | + | 0.597152i | ||||
\(246\) | −1.89395 | − | 1.37603i | −0.120754 | − | 0.0877327i | ||||
\(247\) | −5.23532 | + | 13.6385i | −0.333115 | + | 0.867795i | ||||
\(248\) | 0.907441 | − | 1.39734i | 0.0576226 | − | 0.0887310i | ||||
\(249\) | 11.4630 | − | 6.61818i | 0.726440 | − | 0.419410i | ||||
\(250\) | −10.7243 | + | 22.2438i | −0.678262 | + | 1.40682i | ||||
\(251\) | − | 27.3670i | − | 1.72739i | −0.504015 | − | 0.863695i | \(-0.668144\pi\) | ||
0.504015 | − | 0.863695i | \(-0.331856\pi\) | |||||||
\(252\) | −22.7001 | − | 19.6474i | −1.42997 | − | 1.23767i | ||||
\(253\) | 2.83469 | + | 17.8976i | 0.178216 | + | 1.12521i | ||||
\(254\) | −15.8109 | − | 35.5119i | −0.992065 | − | 2.22821i | ||||
\(255\) | 2.13610 | + | 1.64383i | 0.133768 | + | 0.102941i | ||||
\(256\) | −4.89782 | − | 2.18065i | −0.306114 | − | 0.136291i | ||||
\(257\) | −1.48219 | + | 0.397150i | −0.0924562 | + | 0.0247736i | −0.304751 | − | 0.952432i | \(-0.598573\pi\) |
0.212294 | + | 0.977206i | \(0.431906\pi\) | |||||||
\(258\) | −2.08490 | + | 13.1635i | −0.129800 | + | 0.819526i | ||||
\(259\) | −2.88452 | − | 16.1559i | −0.179235 | − | 1.00388i | ||||
\(260\) | 8.49641 | − | 9.91995i | 0.526925 | − | 0.615209i | ||||
\(261\) | 21.6699 | + | 24.0668i | 1.34133 | + | 1.48970i | ||||
\(262\) | −0.324557 | + | 0.0170093i | −0.0200512 | + | 0.00105084i | ||||
\(263\) | 1.52827 | − | 0.0800934i | 0.0942373 | − | 0.00493877i | −0.00515899 | − | 0.999987i | \(-0.501642\pi\) |
0.0993963 | + | 0.995048i | \(0.468309\pi\) | |||||||
\(264\) | −15.1165 | − | 16.7885i | −0.930354 | − | 1.03326i | ||||
\(265\) | −0.222171 | − | 0.363688i | −0.0136479 | − | 0.0223412i | ||||
\(266\) | −39.5614 | − | 14.3030i | −2.42566 | − | 0.876973i | ||||
\(267\) | 0.0285806 | − | 0.180451i | 0.00174911 | − | 0.0110434i | ||||
\(268\) | 11.9368 | − | 3.19845i | 0.729155 | − | 0.195376i | ||||
\(269\) | 22.3270 | + | 9.94062i | 1.36130 | + | 0.606091i | 0.951941 | − | 0.306282i | \(-0.0990850\pi\) |
0.409361 | + | 0.912373i | \(0.365752\pi\) | |||||||
\(270\) | −3.46600 | − | 11.7613i | −0.210934 | − | 0.715767i | ||||
\(271\) | −6.80258 | − | 15.2788i | −0.413227 | − | 0.928124i | −0.993514 | − | 0.113711i | \(-0.963726\pi\) |
0.580287 | − | 0.814412i | \(-0.302941\pi\) | |||||||
\(272\) | 0.105331 | + | 0.665037i | 0.00638666 | + | 0.0403238i | ||||
\(273\) | 13.8924 | + | 2.66946i | 0.840809 | + | 0.161563i | ||||
\(274\) | 31.2796i | 1.88967i | ||||||||
\(275\) | −22.0643 | − | 1.21810i | −1.33053 | − | 0.0734541i | ||||
\(276\) | 26.9289 | − | 15.5474i | 1.62093 | − | 0.935844i | ||||
\(277\) | −11.4859 | + | 17.6868i | −0.690122 | + | 1.06270i | 0.303813 | + | 0.952732i | \(0.401740\pi\) |
−0.993936 | + | 0.109964i | \(0.964927\pi\) | |||||||
\(278\) | −12.7904 | + | 33.3202i | −0.767119 | + | 1.99841i | ||||
\(279\) | 2.73907 | + | 1.99005i | 0.163984 | + | 0.119141i | ||||
\(280\) | 8.86172 | + | 7.29384i | 0.529589 | + | 0.435891i | ||||
\(281\) | 6.80713 | − | 4.94567i | 0.406079 | − | 0.295034i | −0.365933 | − | 0.930641i | \(-0.619250\pi\) |
0.772013 | + | 0.635607i | \(0.219250\pi\) | |||||||
\(282\) | 13.2050 | + | 49.2816i | 0.786344 | + | 2.93468i | ||||
\(283\) | 3.10491 | − | 1.19186i | 0.184568 | − | 0.0708489i | −0.264329 | − | 0.964433i | \(-0.585150\pi\) |
0.448897 | + | 0.893584i | \(0.351817\pi\) | |||||||
\(284\) | 1.43892 | + | 1.29561i | 0.0853842 | + | 0.0768803i | ||||
\(285\) | −25.7723 | − | 33.6843i | −1.52662 | − | 1.99528i | ||||
\(286\) | 18.8398 | + | 6.12142i | 1.11402 | + | 0.361967i | ||||
\(287\) | −0.0904841 | + | 1.06047i | −0.00534111 | + | 0.0625974i | ||||
\(288\) | 12.7622 | − | 25.0473i | 0.752022 | − | 1.47593i | ||||
\(289\) | 12.4779 | − | 11.2352i | 0.733995 | − | 0.660892i | ||||
\(290\) | −27.8866 | − | 29.4686i | −1.63756 | − | 1.73046i | ||||
\(291\) | 7.32808 | − | 8.13866i | 0.429580 | − | 0.477097i | ||||
\(292\) | 30.7207 | − | 37.9369i | 1.79779 | − | 2.22009i | ||||
\(293\) | 0.310044 | − | 0.310044i | 0.0181130 | − | 0.0181130i | −0.697992 | − | 0.716105i | \(-0.745923\pi\) |
0.716105 | + | 0.697992i | \(0.245923\pi\) | |||||||
\(294\) | −6.90144 | + | 40.1478i | −0.402500 | + | 2.34146i | ||||
\(295\) | 4.97779 | + | 5.84474i | 0.289818 | + | 0.340294i | ||||
\(296\) | −10.9935 | + | 4.89461i | −0.638983 | + | 0.284494i | ||||
\(297\) | 8.52705 | − | 6.90507i | 0.494790 | − | 0.400673i | ||||
\(298\) | 9.22296 | + | 5.98946i | 0.534272 | + | 0.346960i | ||||
\(299\) | −4.16021 | + | 7.20570i | −0.240591 | + | 0.416717i | ||||
\(300\) | 11.6171 | + | 36.0963i | 0.670716 | + | 2.08402i | ||||
\(301\) | 5.61309 | − | 2.28187i | 0.323533 | − | 0.131525i | ||||
\(302\) | −3.39870 | − | 6.67033i | −0.195573 | − | 0.383834i | ||||
\(303\) | −2.68644 | − | 1.03123i | −0.154332 | − | 0.0592426i | ||||
\(304\) | 1.10748 | − | 10.5370i | 0.0635183 | − | 0.604336i | ||||
\(305\) | 1.51122 | + | 2.20542i | 0.0865321 | + | 0.126282i | ||||
\(306\) | 3.96170 | − | 0.416391i | 0.226475 | − | 0.0238035i | ||||
\(307\) | 22.2385 | + | 22.2385i | 1.26922 | + | 1.26922i | 0.946491 | + | 0.322730i | \(0.104601\pi\) |
0.322730 | + | 0.946491i | \(0.395399\pi\) | |||||||
\(308\) | −9.77118 | + | 32.2073i | −0.556765 | + | 1.83518i | ||||
\(309\) | 5.56118 | − | 1.80694i | 0.316364 | − | 0.102793i | ||||
\(310\) | −3.49220 | − | 2.40731i | −0.198344 | − | 0.136726i | ||||
\(311\) | −3.35279 | − | 15.7736i | −0.190119 | − | 0.894441i | −0.964983 | − | 0.262312i | \(-0.915515\pi\) |
0.774864 | − | 0.632128i | \(-0.217818\pi\) | |||||||
\(312\) | −0.542889 | − | 10.3589i | −0.0307351 | − | 0.586460i | ||||
\(313\) | 13.9488 | − | 9.05844i | 0.788432 | − | 0.512013i | −0.0865047 | − | 0.996251i | \(-0.527570\pi\) |
0.874936 | + | 0.484238i | \(0.160903\pi\) | |||||||
\(314\) | 8.75846 | − | 26.9558i | 0.494269 | − | 1.52120i | ||||
\(315\) | −15.7436 | + | 17.2071i | −0.887052 | + | 0.969511i | ||||
\(316\) | 12.4178 | + | 38.2181i | 0.698557 | + | 2.14994i | ||||
\(317\) | −9.11915 | − | 7.38454i | −0.512182 | − | 0.414757i | 0.338079 | − | 0.941118i | \(-0.390223\pi\) |
−0.850261 | + | 0.526361i | \(0.823556\pi\) | |||||||
\(318\) | −1.07137 | − | 0.287072i | −0.0600793 | − | 0.0160982i | ||||
\(319\) | 14.7671 | − | 33.1675i | 0.826799 | − | 1.85702i | ||||
\(320\) | −12.3639 | + | 25.8287i | −0.691166 | + | 1.44387i | ||||
\(321\) | −20.6452 | + | 28.4157i | −1.15230 | + | 1.58601i | ||||
\(322\) | −20.9804 | − | 11.5708i | −1.16919 | − | 0.644815i | ||||
\(323\) | 2.93446 | − | 1.49518i | 0.163278 | − | 0.0831941i | ||||
\(324\) | 13.1751 | + | 7.60667i | 0.731952 | + | 0.422593i | ||||
\(325\) | −7.52145 | − | 6.81045i | −0.417215 | − | 0.377776i | ||||
\(326\) | 14.1253 | + | 24.4658i | 0.782329 | + | 1.35503i | ||||
\(327\) | −2.14231 | + | 40.8776i | −0.118470 | + | 2.26054i | ||||
\(328\) | 0.770818 | − | 0.122086i | 0.0425613 | − | 0.00674105i | ||||
\(329\) | 16.0770 | − | 16.7200i | 0.886356 | − | 0.921802i | ||||
\(330\) | −43.7839 | + | 37.2895i | −2.41023 | + | 2.05272i | ||||
\(331\) | 0.147294 | + | 1.40141i | 0.00809602 | + | 0.0770285i | 0.997824 | − | 0.0659358i | \(-0.0210033\pi\) |
−0.989728 | + | 0.142964i | \(0.954337\pi\) | |||||||
\(332\) | −3.74248 | + | 13.9671i | −0.205395 | + | 0.766546i | ||||
\(333\) | −8.76334 | − | 22.8293i | −0.480228 | − | 1.25104i | ||||
\(334\) | −6.48442 | − | 1.37831i | −0.354812 | − | 0.0754176i | ||||
\(335\) | −2.22811 | − | 9.33813i | −0.121735 | − | 0.510197i | ||||
\(336\) | −10.2332 | + | 0.737669i | −0.558269 | + | 0.0402431i | ||||
\(337\) | 11.4838 | + | 5.85127i | 0.625560 | + | 0.318739i | 0.737879 | − | 0.674934i | \(-0.235828\pi\) |
−0.112319 | + | 0.993672i | \(0.535828\pi\) | |||||||
\(338\) | −10.6843 | − | 16.4524i | −0.581151 | − | 0.894895i | ||||
\(339\) | 19.0599 | − | 4.05131i | 1.03519 | − | 0.220037i | ||||
\(340\) | −2.91987 | + | 0.380264i | −0.158352 | + | 0.0206227i | ||||
\(341\) | 0.789152 | − | 3.71267i | 0.0427350 | − | 0.201052i | ||||
\(342\) | −61.9102 | − | 9.80561i | −3.34772 | − | 0.530227i | ||||
\(343\) | 17.2470 | − | 6.74834i | 0.931252 | − | 0.364376i | ||||
\(344\) | −2.61152 | − | 3.59444i | −0.140804 | − | 0.193799i | ||||
\(345\) | −11.4967 | − | 21.2449i | −0.618961 | − | 1.14379i | ||||
\(346\) | 52.5118 | + | 5.51921i | 2.82305 | + | 0.296715i | ||||
\(347\) | −16.7932 | − | 20.7378i | −0.901504 | − | 1.11326i | −0.993077 | − | 0.117466i | \(-0.962523\pi\) |
0.0915732 | − | 0.995798i | \(-0.470810\pi\) | |||||||
\(348\) | −62.2158 | − | 3.26059i | −3.33512 | − | 0.174786i | ||||
\(349\) | −14.1549 | −0.757694 | −0.378847 | − | 0.925459i | \(-0.623679\pi\) | ||||
−0.378847 | + | 0.925459i | \(0.623679\pi\) | |||||||
\(350\) | 19.1831 | − | 22.0390i | 1.02538 | − | 1.17804i | ||||
\(351\) | 5.03812 | 0.268915 | ||||||||
\(352\) | −31.4717 | − | 1.64936i | −1.67745 | − | 0.0879114i | ||||
\(353\) | −5.85513 | − | 7.23048i | −0.311637 | − | 0.384840i | 0.597129 | − | 0.802145i | \(-0.296308\pi\) |
−0.908766 | + | 0.417305i | \(0.862975\pi\) | |||||||
\(354\) | 19.8710 | + | 2.08852i | 1.05613 | + | 0.111004i | ||||
\(355\) | 1.03694 | − | 1.08966i | 0.0550350 | − | 0.0578330i | ||||
\(356\) | 0.117315 | + | 0.161470i | 0.00621768 | + | 0.00855790i | ||||
\(357\) | −1.92479 | − | 2.54290i | −0.101871 | − | 0.134585i | ||||
\(358\) | 16.9922 | + | 2.69131i | 0.898068 | + | 0.142240i | ||||
\(359\) | −3.22980 | + | 15.1950i | −0.170463 | + | 0.801963i | 0.806950 | + | 0.590620i | \(0.201117\pi\) |
−0.977412 | + | 0.211343i | \(0.932216\pi\) | |||||||
\(360\) | 15.0178 | + | 8.18116i | 0.791508 | + | 0.431185i | ||||
\(361\) | −32.1057 | + | 6.82428i | −1.68977 | + | 0.359173i | ||||
\(362\) | −8.62766 | − | 13.2854i | −0.453460 | − | 0.698267i | ||||
\(363\) | −20.0315 | − | 10.2066i | −1.05138 | − | 0.535707i | ||||
\(364\) | −12.7935 | + | 8.66938i | −0.670563 | + | 0.454399i | ||||
\(365\) | −28.8023 | − | 24.6690i | −1.50758 | − | 1.29124i | ||||
\(366\) | 6.80595 | + | 1.44665i | 0.355753 | + | 0.0756176i | ||||
\(367\) | 1.14296 | + | 2.97750i | 0.0596618 | + | 0.155424i | 0.960171 | − | 0.279412i | \(-0.0901395\pi\) |
−0.900509 | + | 0.434836i | \(0.856806\pi\) | |||||||
\(368\) | 1.56181 | − | 5.82877i | 0.0814152 | − | 0.303846i | ||||
\(369\) | 0.165768 | + | 1.57718i | 0.00862956 | + | 0.0821048i | ||||
\(370\) | 11.6840 | + | 28.3194i | 0.607423 | + | 1.47226i | ||||
\(371\) | 0.140034 | + | 0.484429i | 0.00727022 | + | 0.0251503i | ||||
\(372\) | −6.43304 | + | 1.01889i | −0.333537 | + | 0.0528271i | ||||
\(373\) | −1.10604 | + | 21.1044i | −0.0572683 | + | 1.09274i | 0.807271 | + | 0.590180i | \(0.200943\pi\) |
−0.864540 | + | 0.502564i | \(0.832390\pi\) | |||||||
\(374\) | −2.23292 | − | 3.86753i | −0.115462 | − | 0.199985i | ||||
\(375\) | 28.2798 | − | 8.24824i | 1.46036 | − | 0.425937i | ||||
\(376\) | −14.7297 | − | 8.50418i | −0.759625 | − | 0.438570i | ||||
\(377\) | 14.8537 | − | 7.56834i | 0.765005 | − | 0.389789i | ||||
\(378\) | 0.284351 | + | 14.5050i | 0.0146255 | + | 0.746058i | ||||
\(379\) | 12.5385 | − | 17.2577i | 0.644058 | − | 0.886470i | −0.354766 | − | 0.934955i | \(-0.615439\pi\) |
0.998824 | + | 0.0484851i | \(0.0154393\pi\) | |||||||
\(380\) | 45.9282 | + | 6.11178i | 2.35607 | + | 0.313527i | ||||
\(381\) | −18.8612 | + | 42.3630i | −0.966291 | + | 2.17032i | ||||
\(382\) | −12.1024 | − | 3.24282i | −0.619211 | − | 0.165917i | ||||
\(383\) | 0.192731 | + | 0.156070i | 0.00984808 | + | 0.00797481i | 0.634232 | − | 0.773143i | \(-0.281316\pi\) |
−0.624384 | + | 0.781118i | \(0.714650\pi\) | |||||||
\(384\) | 11.4180 | + | 35.1409i | 0.582670 | + | 1.79327i | ||||
\(385\) | 24.8016 | + | 8.27777i | 1.26401 | + | 0.421874i | ||||
\(386\) | −2.03627 | + | 6.26699i | −0.103643 | + | 0.318981i | ||||
\(387\) | 7.57183 | − | 4.91720i | 0.384898 | − | 0.249956i | ||||
\(388\) | 0.626144 | + | 11.9475i | 0.0317877 | + | 0.606545i | ||||
\(389\) | 4.39995 | + | 20.7001i | 0.223086 | + | 1.04954i | 0.937007 | + | 0.349311i | \(0.113584\pi\) |
−0.713920 | + | 0.700227i | \(0.753082\pi\) | |||||||
\(390\) | −26.3992 | + | 0.654425i | −1.33678 | + | 0.0331381i | ||||
\(391\) | 1.78396 | − | 0.579644i | 0.0902188 | − | 0.0293139i | ||||
\(392\) | −7.83701 | − | 11.0907i | −0.395829 | − | 0.560165i | ||||
\(393\) | 0.274148 | + | 0.274148i | 0.0138289 | + | 0.0138289i | ||||
\(394\) | 10.9209 | − | 1.14784i | 0.550189 | − | 0.0578272i | ||||
\(395\) | 29.9446 | − | 8.82457i | 1.50668 | − | 0.444012i | ||||
\(396\) | −5.24208 | + | 49.8751i | −0.263425 | + | 2.50632i | ||||
\(397\) | 12.1855 | + | 4.67756i | 0.611571 | + | 0.234760i | 0.644385 | − | 0.764701i | \(-0.277113\pi\) |
−0.0328137 | + | 0.999461i | \(0.510447\pi\) | |||||||
\(398\) | −11.0581 | − | 21.7028i | −0.554295 | − | 1.08786i | ||||
\(399\) | 18.8989 | + | 46.4888i | 0.946130 | + | 2.32735i | ||||
\(400\) | 6.54743 | + | 3.35913i | 0.327372 | + | 0.167957i | ||||
\(401\) | −15.0222 | + | 26.0192i | −0.750173 | + | 1.29934i | 0.197565 | + | 0.980290i | \(0.436697\pi\) |
−0.947738 | + | 0.319049i | \(0.896637\pi\) | |||||||
\(402\) | −20.9545 | − | 13.6080i | −1.04511 | − | 0.678705i | ||||
\(403\) | 1.35443 | − | 1.09680i | 0.0674689 | − | 0.0546353i | ||||
\(404\) | 2.87178 | − | 1.27860i | 0.142876 | − | 0.0636126i | ||||
\(405\) | 6.18924 | − | 10.0683i | 0.307546 | − | 0.500300i | ||||
\(406\) | 22.6280 | + | 42.3375i | 1.12301 | + | 2.10117i | ||||
\(407\) | −19.3848 | + | 19.3848i | −0.960870 | + | 0.960870i | ||||
\(408\) | −1.47169 | + | 1.81739i | −0.0728595 | + | 0.0899740i | ||||
\(409\) | −6.14370 | + | 6.82327i | −0.303787 | + | 0.337389i | −0.875638 | − | 0.482968i | \(-0.839559\pi\) |
0.571851 | + | 0.820357i | \(0.306225\pi\) | |||||||
\(410\) | −0.256575 | − | 1.97012i | −0.0126713 | − | 0.0972974i | ||||
\(411\) | 27.7299 | − | 24.9681i | 1.36782 | − | 1.23159i | ||||
\(412\) | −2.90003 | + | 5.69162i | −0.142874 | + | 0.280406i | ||||
\(413\) | −3.85665 | − | 8.22444i | −0.189773 | − | 0.404698i | ||||
\(414\) | −33.9532 | − | 11.0321i | −1.66871 | − | 0.542196i | ||||
\(415\) | 10.7662 | + | 3.20543i | 0.528490 | + | 0.157348i | ||||
\(416\) | −10.7538 | − | 9.68276i | −0.527248 | − | 0.474736i | ||||
\(417\) | 39.7485 | − | 15.2580i | 1.94649 | − | 0.747188i | ||||
\(418\) | 18.1876 | + | 67.8769i | 0.889583 | + | 3.31997i | ||||
\(419\) | 8.58306 | − | 6.23596i | 0.419310 | − | 0.304647i | −0.358050 | − | 0.933702i | \(-0.616558\pi\) |
0.777360 | + | 0.629056i | \(0.216558\pi\) | |||||||
\(420\) | −1.99080 | − | 44.8230i | −0.0971413 | − | 2.18714i | ||||
\(421\) | −14.5995 | − | 10.6071i | −0.711535 | − | 0.516960i | 0.172134 | − | 0.985074i | \(-0.444934\pi\) |
−0.883668 | + | 0.468113i | \(0.844934\pi\) | |||||||
\(422\) | 10.5253 | − | 27.4193i | 0.512362 | − | 1.33475i | ||||
\(423\) | 18.8238 | − | 28.9861i | 0.915243 | − | 1.40935i | ||||
\(424\) | 0.320219 | − | 0.184878i | 0.0155512 | − | 0.00897849i | ||||
\(425\) | 0.232756 | + | 2.27560i | 0.0112903 | + | 0.110383i | ||||
\(426\) | − | 3.91476i | − | 0.189671i | ||||||
\(427\) | −1.03631 | − | 2.98878i | −0.0501504 | − | 0.144637i | ||||
\(428\) | −6.00244 | − | 37.8979i | −0.290139 | − | 1.83186i | ||||
\(429\) | −9.61162 | − | 21.5880i | −0.464053 | − | 1.04228i | ||||
\(430\) | −9.33033 | + | 6.39341i | −0.449948 | + | 0.308317i | ||||
\(431\) | −36.0390 | − | 16.0456i | −1.73594 | − | 0.772889i | −0.994836 | − | 0.101495i | \(-0.967637\pi\) |
−0.741101 | − | 0.671394i | \(-0.765696\pi\) | |||||||
\(432\) | −3.52939 | + | 0.945697i | −0.169808 | + | 0.0454999i | ||||
\(433\) | −2.43178 | + | 15.3536i | −0.116864 | + | 0.737849i | 0.857768 | + | 0.514036i | \(0.171850\pi\) |
−0.974632 | + | 0.223813i | \(0.928150\pi\) | |||||||
\(434\) | 3.23418 | + | 3.83757i | 0.155245 | + | 0.184209i | ||||
\(435\) | −3.86467 | + | 48.2445i | −0.185297 | + | 2.31315i | ||||
\(436\) | −29.9217 | − | 33.2315i | −1.43299 | − | 1.59150i | ||||
\(437\) | −29.4753 | + | 1.54474i | −1.41000 | + | 0.0738948i | ||||
\(438\) | −98.5611 | + | 5.16537i | −4.70943 | + | 0.246811i | ||||
\(439\) | 11.6679 | + | 12.9585i | 0.556877 | + | 0.618474i | 0.954187 | − | 0.299210i | \(-0.0967231\pi\) |
−0.397311 | + | 0.917684i | \(0.630056\pi\) | |||||||
\(440\) | 1.53091 | − | 19.1111i | 0.0729833 | − | 0.911085i | ||||
\(441\) | 23.3395 | − | 14.7239i | 1.11140 | − | 0.701139i | ||||
\(442\) | 0.320780 | − | 2.02533i | 0.0152580 | − | 0.0963350i | ||||
\(443\) | 25.8035 | − | 6.91402i | 1.22596 | − | 0.328495i | 0.412954 | − | 0.910752i | \(-0.364497\pi\) |
0.813005 | + | 0.582257i | \(0.197830\pi\) | |||||||
\(444\) | 42.9756 | + | 19.1340i | 2.03953 | + | 0.908057i | ||||
\(445\) | 0.127904 | − | 0.0876434i | 0.00606323 | − | 0.00415470i | ||||
\(446\) | −15.6583 | − | 35.1691i | −0.741441 | − | 1.66530i | ||||
\(447\) | −2.05222 | − | 12.9572i | −0.0970668 | − | 0.612856i | ||||
\(448\) | 22.1736 | − | 25.6187i | 1.04760 | − | 1.21037i | ||||
\(449\) | − | 17.4918i | − | 0.825491i | −0.910846 | − | 0.412746i | \(-0.864570\pi\) | ||
0.910846 | − | 0.412746i | \(-0.135430\pi\) | |||||||
\(450\) | 21.8733 | − | 37.6426i | 1.03112 | − | 1.77449i | ||||
\(451\) | 1.53969 | − | 0.888943i | 0.0725014 | − | 0.0418587i | ||||
\(452\) | −11.5936 | + | 17.8526i | −0.545319 | + | 0.839718i | ||||
\(453\) | −3.20043 | + | 8.33742i | −0.150370 | + | 0.391726i | ||||
\(454\) | 37.0971 | + | 26.9526i | 1.74105 | + | 1.26495i | ||||
\(455\) | 6.45826 | + | 10.1206i | 0.302768 | + | 0.474462i | ||||
\(456\) | 29.7699 | − | 21.6291i | 1.39410 | − | 1.01288i | ||||
\(457\) | −5.47187 | − | 20.4213i | −0.255963 | − | 0.955268i | −0.967552 | − | 0.252672i | \(-0.918691\pi\) |
0.711589 | − | 0.702596i | \(-0.247976\pi\) | |||||||
\(458\) | −33.3812 | + | 12.8138i | −1.55980 | + | 0.598751i | ||||
\(459\) | −0.844064 | − | 0.759998i | −0.0393975 | − | 0.0354737i | ||||
\(460\) | 25.2918 | + | 7.53018i | 1.17924 | + | 0.351097i | ||||
\(461\) | −19.9318 | − | 6.47624i | −0.928318 | − | 0.301629i | −0.194443 | − | 0.980914i | \(-0.562290\pi\) |
−0.733875 | + | 0.679285i | \(0.762290\pi\) | |||||||
\(462\) | 61.6107 | − | 28.8908i | 2.86639 | − | 1.34412i | ||||
\(463\) | −9.67842 | + | 18.9950i | −0.449794 | + | 0.882771i | 0.549100 | + | 0.835757i | \(0.314971\pi\) |
−0.998894 | + | 0.0470143i | \(0.985029\pi\) | |||||||
\(464\) | −8.98493 | + | 8.09007i | −0.417115 | + | 0.375572i | ||||
\(465\) | 0.653440 | + | 5.01746i | 0.0303025 | + | 0.232679i | ||||
\(466\) | 12.7504 | − | 14.1608i | 0.590651 | − | 0.655984i | ||||
\(467\) | 4.50437 | − | 5.56244i | 0.208438 | − | 0.257399i | −0.662196 | − | 0.749330i | \(-0.730376\pi\) |
0.870634 | + | 0.491931i | \(0.163709\pi\) | |||||||
\(468\) | −16.2827 | + | 16.2827i | −0.752668 | + | 0.752668i | ||||
\(469\) | −0.372046 | + | 11.3531i | −0.0171795 | + | 0.524237i | ||||
\(470\) | −22.6750 | + | 36.8867i | −1.04592 | + | 1.70146i | ||||
\(471\) | −30.8879 | + | 13.7522i | −1.42324 | + | 0.633668i | ||||
\(472\) | −5.17642 | + | 4.19178i | −0.238264 | + | 0.192942i | ||||
\(473\) | −8.48863 | − | 5.51258i | −0.390307 | − | 0.253469i | ||||
\(474\) | 40.6233 | − | 70.3616i | 1.86589 | − | 3.23181i | ||||
\(475\) | 5.72991 | − | 35.5351i | 0.262906 | − | 1.63046i | ||||
\(476\) | 3.45114 | + | 0.477470i | 0.158183 | + | 0.0218848i | ||||
\(477\) | 0.341113 | + | 0.669472i | 0.0156185 | + | 0.0306530i | ||||
\(478\) | −6.25289 | − | 2.40026i | −0.286001 | − | 0.109785i | ||||
\(479\) | 1.56916 | − | 14.9295i | 0.0716966 | − | 0.682148i | −0.898358 | − | 0.439263i | \(-0.855240\pi\) |
0.970055 | − | 0.242885i | \(-0.0780937\pi\) | |||||||
\(480\) | 40.2983 | − | 11.8758i | 1.83936 | − | 0.542052i | ||||
\(481\) | −12.5188 | + | 1.31578i | −0.570809 | + | 0.0599944i | ||||
\(482\) | 35.5878 | + | 35.5878i | 1.62098 | + | 1.62098i | ||||
\(483\) | 6.48935 | + | 27.8356i | 0.295276 | + | 1.26656i | ||||
\(484\) | 23.3580 | − | 7.58946i | 1.06173 | − | 0.344975i | ||||
\(485\) | 9.29139 | − | 0.230330i | 0.421900 | − | 0.0104587i | ||||
\(486\) | −9.81528 | − | 46.1773i | −0.445230 | − | 2.09464i | ||||
\(487\) | 1.10812 | + | 21.1442i | 0.0502137 | + | 0.958135i | 0.901323 | + | 0.433147i | \(0.142597\pi\) |
−0.851110 | + | 0.524988i | \(0.824070\pi\) | |||||||
\(488\) | −1.94535 | + | 1.26332i | −0.0880618 | + | 0.0571880i | ||||
\(489\) | 10.4142 | − | 32.0515i | 0.470944 | − | 1.44942i | ||||
\(490\) | −28.7733 | + | 19.1649i | −1.29985 | + | 0.865782i | ||||
\(491\) | 9.70848 | + | 29.8796i | 0.438138 | + | 1.34845i | 0.889837 | + | 0.456278i | \(0.150818\pi\) |
−0.451700 | + | 0.892170i | \(0.649182\pi\) | |||||||
\(492\) | −2.37094 | − | 1.91995i | −0.106890 | − | 0.0865581i | ||||
\(493\) | −3.63021 | − | 0.972711i | −0.163496 | − | 0.0438087i | ||||
\(494\) | −13.1239 | + | 29.4768i | −0.590473 | + | 1.32623i | ||||
\(495\) | 38.6187 | + | 5.13909i | 1.73578 | + | 0.230985i | ||||
\(496\) | −0.742950 | + | 1.02258i | −0.0333594 | + | 0.0459153i | ||||
\(497\) | −1.52360 | + | 0.919931i | −0.0683428 | + | 0.0412646i | ||||
\(498\) | 26.0487 | − | 13.2725i | 1.16727 | − | 0.594754i | ||||
\(499\) | −18.4253 | − | 10.6378i | −0.824829 | − | 0.476215i | 0.0272499 | − | 0.999629i | \(-0.491325\pi\) |
−0.852079 | + | 0.523413i | \(0.824658\pi\) | |||||||
\(500\) | −15.4737 | + | 28.2167i | −0.692006 | + | 1.26189i | ||||
\(501\) | 3.95412 | + | 6.84874i | 0.176657 | + | 0.305979i | ||||
\(502\) | 3.16347 | − | 60.3627i | 0.141193 | − | 2.69412i | ||||
\(503\) | −20.6199 | + | 3.26588i | −0.919398 | + | 0.145618i | −0.598157 | − | 0.801379i | \(-0.704100\pi\) |
−0.321241 | + | 0.946997i | \(0.604100\pi\) | |||||||
\(504\) | −14.5859 | − | 14.0251i | −0.649710 | − | 0.624726i | ||||
\(505\) | −0.931396 | − | 2.25749i | −0.0414466 | − | 0.100457i | ||||
\(506\) | 4.18355 | + | 39.8038i | 0.185982 | + | 1.76950i | ||||
\(507\) | −6.05687 | + | 22.6046i | −0.268995 | + | 1.00390i | ||||
\(508\) | −18.1544 | − | 47.2937i | −0.805469 | − | 2.09832i | ||||
\(509\) | −10.1694 | − | 2.16157i | −0.450749 | − | 0.0958097i | −0.0230571 | − | 0.999734i | \(-0.507340\pi\) |
−0.427692 | + | 0.903924i | \(0.640673\pi\) | |||||||
\(510\) | 4.52153 | + | 3.87267i | 0.200217 | + | 0.171485i | ||||
\(511\) | 25.1712 | + | 37.1456i | 1.11351 | + | 1.64322i | ||||
\(512\) | 14.4391 | + | 7.35709i | 0.638125 | + | 0.325141i | ||||
\(513\) | 9.73387 | + | 14.9889i | 0.429761 | + | 0.661774i | ||||
\(514\) | −3.31513 | + | 0.704652i | −0.146224 | + | 0.0310809i | ||||
\(515\) | 4.35777 | + | 2.37395i | 0.192026 | + | 0.104609i | ||||
\(516\) | −3.61110 | + | 16.9889i | −0.158970 | + | 0.747894i | ||||
\(517\) | −38.2696 | − | 6.06131i | −1.68310 | − | 0.266576i | ||||
\(518\) | −4.49477 | − | 35.9681i | −0.197489 | − | 1.58035i | ||||
\(519\) | −37.0233 | − | 50.9581i | −1.62514 | − | 2.23681i | ||||
\(520\) | 6.06871 | − | 6.37724i | 0.266130 | − | 0.279660i | ||||
\(521\) | 8.40580 | + | 0.883485i | 0.368265 | + | 0.0387062i | 0.286854 | − | 0.957974i | \(-0.407391\pi\) |
0.0814111 | + | 0.996681i | \(0.474057\pi\) | |||||||
\(522\) | 45.0147 | + | 55.5885i | 1.97024 | + | 2.43304i | ||||
\(523\) | 8.34005 | + | 0.437083i | 0.364685 | + | 0.0191123i | 0.233798 | − | 0.972285i | \(-0.424884\pi\) |
0.130886 | + | 0.991397i | \(0.458218\pi\) | |||||||
\(524\) | −0.423541 | −0.0185025 | ||||||||
\(525\) | −34.8504 | + | 0.585898i | −1.52100 | + | 0.0255707i | ||||
\(526\) | 3.38013 | 0.147381 | ||||||||
\(527\) | −0.392366 | − | 0.0205630i | −0.0170917 | − | 0.000895740i | ||||
\(528\) | 10.7855 | + | 13.3190i | 0.469381 | + | 0.579637i | ||||
\(529\) | 6.15537 | + | 0.646956i | 0.267625 | + | 0.0281285i | ||||
\(530\) | −0.447996 | − | 0.827859i | −0.0194597 | − | 0.0359599i | ||||
\(531\) | −7.95574 | − | 10.9501i | −0.345250 | − | 0.475196i | ||||
\(532\) | −50.5098 | − | 21.3122i | −2.18988 | − | 0.924002i | ||||
\(533\) | 0.806298 | + | 0.127705i | 0.0349247 | + | 0.00553152i | ||||
\(534\) | 0.0838987 | − | 0.394712i | 0.00363065 | − | 0.0170809i | ||||
\(535\) | −29.5586 | + | 3.84950i | −1.27793 | + | 0.166429i | ||||
\(536\) | 8.14726 | − | 1.73175i | 0.351908 | − | 0.0748003i | ||||
\(537\) | −11.1777 | − | 17.2122i | −0.482354 | − | 0.742760i | ||||
\(538\) | 48.0970 | + | 24.5067i | 2.07361 | + | 1.05656i | ||||
\(539\) | −25.7220 | − | 17.1894i | −1.10793 | − | 0.740401i | ||||
\(540\) | −3.70850 | − | 15.5425i | −0.159589 | − | 0.668845i | ||||
\(541\) | −9.71544 | − | 2.06508i | −0.417699 | − | 0.0887847i | −0.00573244 | − | 0.999984i | \(-0.501825\pi\) |
−0.411967 | + | 0.911199i | \(0.635158\pi\) | |||||||
\(542\) | −13.2381 | − | 34.4865i | −0.568626 | − | 1.48132i | ||||
\(543\) | −4.89096 | + | 18.2533i | −0.209891 | + | 0.783324i | ||||
\(544\) | 0.341002 | + | 3.24441i | 0.0146203 | + | 0.139103i | ||||
\(545\) | −26.4471 | + | 22.5242i | −1.13287 | + | 0.964832i | ||||
\(546\) | 30.3336 | + | 7.49385i | 1.29816 | + | 0.320707i | ||||
\(547\) | −12.2172 | + | 1.93502i | −0.522371 | + | 0.0827354i | −0.412051 | − | 0.911161i | \(-0.635188\pi\) |
−0.110320 | + | 0.993896i | \(0.535188\pi\) | |||||||
\(548\) | −2.13339 | + | 40.7075i | −0.0911339 | + | 1.73894i | ||||
\(549\) | −2.35674 | − | 4.08199i | −0.100583 | − | 0.174215i | ||||
\(550\) | −48.5258 | − | 5.23723i | −2.06915 | − | 0.223316i | ||||
\(551\) | 51.2145 | + | 29.5687i | 2.18181 | + | 1.25967i | ||||
\(552\) | 18.6738 | − | 9.51478i | 0.794810 | − | 0.404976i | ||||
\(553\) | −36.9304 | + | 0.723970i | −1.57044 | + | 0.0307863i | ||||
\(554\) | −27.3787 | + | 37.6835i | −1.16321 | + | 1.60102i | ||||
\(555\) | 15.7792 | − | 32.9633i | 0.669789 | − | 1.39921i | ||||
\(556\) | −18.9181 | + | 42.4907i | −0.802305 | + | 1.80201i | ||||
\(557\) | 11.4424 | + | 3.06598i | 0.484829 | + | 0.129910i | 0.492950 | − | 0.870057i | \(-0.335918\pi\) |
−0.00812111 | + | 0.999967i | \(0.502585\pi\) | |||||||
\(558\) | 5.81145 | + | 4.70602i | 0.246018 | + | 0.199222i | ||||
\(559\) | −1.43615 | − | 4.42002i | −0.0607428 | − | 0.186947i | ||||
\(560\) | −6.42398 | − | 5.87760i | −0.271463 | − | 0.248374i | ||||
\(561\) | −1.64626 | + | 5.06667i | −0.0695052 | + | 0.213915i | ||||
\(562\) | 15.5860 | − | 10.1217i | 0.657456 | − | 0.426957i | ||||
\(563\) | 1.18390 | + | 22.5901i | 0.0498954 | + | 0.952060i | 0.902818 | + | 0.430023i | \(0.141495\pi\) |
−0.852923 | + | 0.522037i | \(0.825172\pi\) | |||||||
\(564\) | 13.8238 | + | 65.0359i | 0.582087 | + | 2.73851i | ||||
\(565\) | 13.6153 | + | 9.38555i | 0.572801 | + | 0.394853i | ||||
\(566\) | 6.98619 | − | 2.26995i | 0.293652 | − | 0.0954132i | ||||
\(567\) | −10.2067 | + | 9.55895i | −0.428640 | + | 0.401438i | ||||
\(568\) | 0.922809 | + | 0.922809i | 0.0387202 | + | 0.0387202i | ||||
\(569\) | 7.77133 | − | 0.816799i | 0.325791 | − | 0.0342420i | 0.0597787 | − | 0.998212i | \(-0.480960\pi\) |
0.266012 | + | 0.963970i | \(0.414294\pi\) | |||||||
\(570\) | −52.9515 | − | 77.2757i | −2.21789 | − | 3.23672i | ||||
\(571\) | 0.0816136 | − | 0.776501i | 0.00341542 | − | 0.0324956i | −0.992681 | − | 0.120762i | \(-0.961466\pi\) |
0.996097 | + | 0.0882667i | \(0.0281328\pi\) | |||||||
\(572\) | 24.1007 | + | 9.25139i | 1.00770 | + | 0.386820i | ||||
\(573\) | 6.78557 | + | 13.3174i | 0.283471 | + | 0.556344i | ||||
\(574\) | −0.322162 | + | 2.32858i | −0.0134468 | + | 0.0971932i | ||||
\(575\) | 6.38937 | − | 19.4793i | 0.266455 | − | 0.812344i | ||||
\(576\) | 25.2426 | − | 43.7214i | 1.05177 | − | 1.82173i | ||||
\(577\) | −26.0489 | − | 16.9163i | −1.08443 | − | 0.704236i | −0.126709 | − | 0.991940i | \(-0.540441\pi\) |
−0.957719 | + | 0.287704i | \(0.907108\pi\) | |||||||
\(578\) | 28.8209 | − | 23.3387i | 1.19879 | − | 0.970764i | ||||
\(579\) | 7.18119 | − | 3.19727i | 0.298440 | − | 0.132874i | ||||
\(580\) | −34.2819 | − | 40.2526i | −1.42348 | − | 1.67140i | ||||
\(581\) | −11.2868 | − | 7.01909i | −0.468254 | − | 0.291201i | ||||
\(582\) | 17.1041 | − | 17.1041i | 0.708989 | − | 0.708989i | ||||
\(583\) | 0.530103 | − | 0.654622i | 0.0219546 | − | 0.0271117i | ||||
\(584\) | 22.0158 | − | 24.4510i | 0.911019 | − | 1.01179i | ||||
\(585\) | 12.2957 | + | 12.9933i | 0.508366 | + | 0.537205i | ||||
\(586\) | 0.719696 | − | 0.648017i | 0.0297303 | − | 0.0267693i | ||||
\(587\) | −0.413752 | + | 0.812035i | −0.0170774 | + | 0.0335163i | −0.899388 | − | 0.437152i | \(-0.855987\pi\) |
0.882310 | + | 0.470668i | \(0.155987\pi\) | |||||||
\(588\) | −11.7198 | + | 51.7778i | −0.483316 | + | 2.13528i | ||||
\(589\) | 5.87988 | + | 1.91049i | 0.242276 | + | 0.0787204i | ||||
\(590\) | 10.3038 | + | 13.4670i | 0.424199 | + | 0.554428i | ||||
\(591\) | −9.73492 | − | 8.76536i | −0.400441 | − | 0.360559i | ||||
\(592\) | 8.52291 | − | 3.27164i | 0.350290 | − | 0.134464i | ||||
\(593\) | −1.10557 | − | 4.12603i | −0.0454002 | − | 0.169436i | 0.939503 | − | 0.342540i | \(-0.111287\pi\) |
−0.984904 | + | 0.173104i | \(0.944620\pi\) | |||||||
\(594\) | 19.6061 | − | 14.2447i | 0.804447 | − | 0.584465i | ||||
\(595\) | 0.444705 | − | 2.66979i | 0.0182311 | − | 0.109451i | ||||
\(596\) | 11.5943 | + | 8.42375i | 0.474921 | + | 0.345050i | ||||
\(597\) | −10.4131 | + | 27.1269i | −0.426178 | + | 1.11023i | ||||
\(598\) | −10.0090 | + | 15.4125i | −0.409299 | + | 0.630265i | ||||
\(599\) | −14.1145 | + | 8.14902i | −0.576704 | + | 0.332960i | −0.759822 | − | 0.650131i | \(-0.774714\pi\) |
0.183119 | + | 0.983091i | \(0.441381\pi\) | |||||||
\(600\) | 6.54600 | + | 24.7056i | 0.267239 | + | 1.00860i | ||||
\(601\) | 2.76321i | 0.112714i | 0.998411 | + | 0.0563569i | \(0.0179485\pi\) | ||||
−0.998411 | + | 0.0563569i | \(0.982052\pi\) | |||||||
\(602\) | 12.6444 | − | 4.38423i | 0.515348 | − | 0.178688i | ||||
\(603\) | 2.64774 | + | 16.7172i | 0.107824 | + | 0.680775i | ||||
\(604\) | −3.96815 | − | 8.91261i | −0.161462 | − | 0.362649i | ||||
\(605\) | −5.39336 | − | 18.3014i | −0.219271 | − | 0.744058i | ||||
\(606\) | −5.80621 | − | 2.58509i | −0.235861 | − | 0.105012i | ||||
\(607\) | −6.59047 | + | 1.76591i | −0.267499 | + | 0.0716761i | −0.390075 | − | 0.920783i | \(-0.627551\pi\) |
0.122576 | + | 0.992459i | \(0.460884\pi\) | |||||||
\(608\) | 8.03026 | − | 50.7010i | 0.325670 | − | 2.05620i | ||||
\(609\) | 19.4707 | − | 53.8548i | 0.788991 | − | 2.18231i | ||||
\(610\) | 3.07832 | + | 5.03913i | 0.124638 | + | 0.204029i | ||||
\(611\) | −11.9047 | − | 13.2215i | −0.481611 | − | 0.534884i | ||||
\(612\) | 5.18417 | − | 0.271691i | 0.209558 | − | 0.0109825i | ||||
\(613\) | 35.0998 | − | 1.83950i | 1.41767 | − | 0.0742968i | 0.671968 | − | 0.740580i | \(-0.265449\pi\) |
0.745699 | + | 0.666283i | \(0.232116\pi\) | |||||||
\(614\) | 46.4803 | + | 51.6216i | 1.87579 | + | 2.08328i | ||||
\(615\) | −1.54174 | + | 1.80005i | −0.0621690 | + | 0.0725852i | ||||
\(616\) | −7.71291 | + | 21.3335i | −0.310762 | + | 0.859552i | ||||
\(617\) | 0.760663 | − | 4.80264i | 0.0306232 | − | 0.193347i | −0.967634 | − | 0.252357i | \(-0.918794\pi\) |
0.998257 | + | 0.0590098i | \(0.0187943\pi\) | |||||||
\(618\) | 12.4750 | − | 3.34267i | 0.501819 | − | 0.134462i | ||||
\(619\) | 6.12315 | + | 2.72620i | 0.246110 | + | 0.109575i | 0.526085 | − | 0.850432i | \(-0.323659\pi\) |
−0.279975 | + | 0.960007i | \(0.590326\pi\) | |||||||
\(620\) | −4.38058 | − | 3.37106i | −0.175928 | − | 0.135385i | ||||
\(621\) | 4.14021 | + | 9.29906i | 0.166141 | + | 0.373159i | ||||
\(622\) | −5.57181 | − | 35.1791i | −0.223409 | − | 1.41055i | ||||
\(623\) | −0.173335 | + | 0.0601008i | −0.00694452 | + | 0.00240789i | ||||
\(624\) | 7.86941i | 0.315029i | ||||||||
\(625\) | 21.5805 | + | 12.6207i | 0.863221 | + | 0.504826i | ||||
\(626\) | 31.8136 | − | 18.3676i | 1.27153 | − | 0.734116i | ||||
\(627\) | 45.6563 | − | 70.3045i | 1.82334 | − | 2.80769i | ||||
\(628\) | 13.2368 | − | 34.4830i | 0.528205 | − | 1.37602i | ||||
\(629\) | 2.29583 | + | 1.66802i | 0.0915408 | + | 0.0665083i | ||||
\(630\) | −36.7143 | + | 36.1334i | −1.46273 | + | 1.43959i | ||||
\(631\) | −20.9516 | + | 15.2223i | −0.834071 | + | 0.605988i | −0.920708 | − | 0.390252i | \(-0.872388\pi\) |
0.0866370 | + | 0.996240i | \(0.472388\pi\) | |||||||
\(632\) | 7.01008 | + | 26.1620i | 0.278846 | + | 1.04067i | ||||
\(633\) | −32.7092 | + | 12.5559i | −1.30007 | + | 0.499051i | ||||
\(634\) | −19.2602 | − | 17.3420i | −0.764922 | − | 0.688739i | ||||
\(635\) | −37.1153 | + | 13.0849i | −1.47287 | + | 0.519260i | ||||
\(636\) | −1.37470 | − | 0.446668i | −0.0545105 | − | 0.0177115i | ||||
\(637\) | −4.21155 | − | 13.5666i | −0.166868 | − | 0.537530i | ||||
\(638\) | 36.4054 | − | 71.4496i | 1.44130 | − | 2.82872i | ||||
\(639\) | −1.97077 | + | 1.77449i | −0.0779625 | + | 0.0701977i | ||||
\(640\) | −15.0009 | + | 27.5366i | −0.592964 | + | 1.08848i | ||||
\(641\) | 12.3010 | − | 13.6616i | 0.485859 | − | 0.539602i | −0.449509 | − | 0.893276i | \(-0.648401\pi\) |
0.935369 | + | 0.353674i | \(0.115068\pi\) | |||||||
\(642\) | −48.8213 | + | 60.2892i | −1.92682 | + | 2.37943i | ||||
\(643\) | −8.87881 | + | 8.87881i | −0.350146 | + | 0.350146i | −0.860164 | − | 0.510018i | \(-0.829639\pi\) |
0.510018 | + | 0.860164i | \(0.329639\pi\) | |||||||
\(644\) | −26.5148 | − | 16.4892i | −1.04483 | − | 0.649767i | ||||
\(645\) | 13.1155 | + | 3.16813i | 0.516424 | + | 0.124745i | ||||
\(646\) | 6.64529 | − | 2.95868i | 0.261456 | − | 0.116408i | ||||
\(647\) | 17.7554 | − | 14.3780i | 0.698035 | − | 0.565258i | −0.213268 | − | 0.976994i | \(-0.568411\pi\) |
0.911303 | + | 0.411736i | \(0.135077\pi\) | |||||||
\(648\) | 8.59962 | + | 5.58466i | 0.337825 | + | 0.219386i | ||||
\(649\) | −7.58697 | + | 13.1410i | −0.297815 | + | 0.515830i | ||||
\(650\) | −15.8026 | − | 15.8911i | −0.619830 | − | 0.623299i | ||||
\(651\) | 0.820476 | − | 5.93039i | 0.0321570 | − | 0.232430i | ||||
\(652\) | 16.7141 | + | 32.8033i | 0.654575 | + | 1.28468i | ||||
\(653\) | 28.6349 | + | 10.9919i | 1.12057 | + | 0.430147i | 0.846941 | − | 0.531687i | \(-0.178442\pi\) |
0.273631 | + | 0.961835i | \(0.411775\pi\) | |||||||
\(654\) | −9.45045 | + | 89.9150i | −0.369542 | + | 3.51596i | ||||
\(655\) | −0.00907198 | + | 0.328905i | −0.000354472 | + | 0.0128514i | ||||
\(656\) | −0.588813 | + | 0.0618867i | −0.0229893 | + | 0.00241627i | ||||
\(657\) | 47.2763 | + | 47.2763i | 1.84442 | + | 1.84442i | ||||
\(658\) | 37.3934 | − | 35.0204i | 1.45775 | − | 1.36524i | ||||
\(659\) | −14.8928 | + | 4.83895i | −0.580140 | + | 0.188499i | −0.584363 | − | 0.811492i | \(-0.698656\pi\) |
0.00422331 | + | 0.999991i | \(0.498656\pi\) | |||||||
\(660\) | −59.5239 | + | 45.5425i | −2.31697 | + | 1.77274i | ||||
\(661\) | 6.59902 | + | 31.0460i | 0.256672 | + | 1.20755i | 0.897901 | + | 0.440198i | \(0.145092\pi\) |
−0.641228 | + | 0.767350i | \(0.721575\pi\) | |||||||
\(662\) | 0.162888 | + | 3.10808i | 0.00633081 | + | 0.120799i | ||||
\(663\) | −2.05154 | + | 1.33229i | −0.0796752 | + | 0.0517417i | ||||
\(664\) | −3.01168 | + | 9.26901i | −0.116876 | + | 0.359707i | ||||
\(665\) | −17.6321 | + | 38.7674i | −0.683744 | + | 1.50334i | ||||
\(666\) | −16.6901 | − | 51.3669i | −0.646729 | − | 1.99043i | ||||
\(667\) | 26.1756 | + | 21.1966i | 1.01352 | + | 0.820736i | ||||
\(668\) | −8.34486 | − | 2.23600i | −0.322872 | − | 0.0865133i | ||||
\(669\) | −18.6792 | + | 41.9541i | −0.722178 | + | 1.62204i | ||||
\(670\) | −3.83505 | − | 20.8544i | −0.148161 | − | 0.805677i | ||||
\(671\) | −3.10596 | + | 4.27499i | −0.119904 | + | 0.165034i | ||||
\(672\) | −49.6994 | + | 0.974290i | −1.91720 | + | 0.0375841i | ||||
\(673\) | 3.58187 | − | 1.82505i | 0.138071 | − | 0.0703507i | −0.383590 | − | 0.923503i | \(-0.625312\pi\) |
0.521661 | + | 0.853153i | \(0.325312\pi\) | |||||||
\(674\) | 24.6530 | + | 14.2334i | 0.949600 | + | 0.548252i | ||||
\(675\) | −12.1492 | + | 2.54696i | −0.467621 | + | 0.0980327i | ||||
\(676\) | −12.7825 | − | 22.1400i | −0.491636 | − | 0.851538i | ||||
\(677\) | −1.04880 | + | 20.0123i | −0.0403086 | + | 0.769135i | 0.901458 | + | 0.432867i | \(0.142498\pi\) |
−0.941766 | + | 0.336268i | \(0.890835\pi\) | |||||||
\(678\) | 42.5082 | − | 6.73264i | 1.63252 | − | 0.258566i | ||||
\(679\) | −10.6761 | − | 2.63752i | −0.409712 | − | 0.101219i | ||||
\(680\) | −1.97873 | + | 0.152951i | −0.0758807 | + | 0.00586541i | ||||
\(681\) | −5.71781 | − | 54.4013i | −0.219107 | − | 2.08466i | ||||
\(682\) | 2.16978 | − | 8.09771i | 0.0830850 | − | 0.310077i | ||||
\(683\) | 18.1601 | + | 47.3086i | 0.694876 | + | 1.81021i | 0.576248 | + | 0.817275i | \(0.304516\pi\) |
0.118628 | + | 0.992939i | \(0.462150\pi\) | |||||||
\(684\) | −79.9014 | − | 16.9836i | −3.05511 | − | 0.649383i | ||||
\(685\) | 31.5661 | + | 2.52863i | 1.20608 | + | 0.0966141i | ||||
\(686\) | 38.8214 | − | 12.8910i | 1.48221 | − | 0.492180i | ||||
\(687\) | 38.0053 | + | 19.3647i | 1.44999 | + | 0.738808i | ||||
\(688\) | 1.83575 | + | 2.82681i | 0.0699874 | + | 0.107771i | ||||
\(689\) | 0.378325 | − | 0.0804154i | 0.0144130 | − | 0.00306358i | ||||
\(690\) | −22.9022 | − | 48.1883i | −0.871871 | − | 1.83450i | ||||
\(691\) | 3.34991 | − | 15.7601i | 0.127437 | − | 0.599543i | −0.867362 | − | 0.497678i | \(-0.834186\pi\) |
0.994798 | − | 0.101864i | \(-0.0324807\pi\) | |||||||
\(692\) | 67.9627 | + | 10.7642i | 2.58355 | + | 0.409195i | ||||
\(693\) | −42.4712 | − | 17.9204i | −1.61335 | − | 0.680739i | ||||
\(694\) | −34.6430 | − | 47.6821i | −1.31503 | − | 1.80999i | ||||
\(695\) | 32.5914 | + | 15.6011i | 1.23626 | + | 0.591785i | ||||
\(696\) | −41.7613 | − | 4.38929i | −1.58296 | − | 0.166376i | ||||
\(697\) | −0.115819 | − | 0.143025i | −0.00438697 | − | 0.00541746i | ||||
\(698\) | −31.2211 | − | 1.63623i | −1.18174 | − | 0.0619321i | ||||
\(699\) | −22.7314 | −0.859781 | ||||||||
\(700\) | 26.4682 | − | 27.3734i | 1.00040 | − | 1.03462i | ||||
\(701\) | 40.7107 | 1.53762 | 0.768811 | − | 0.639476i | \(-0.220849\pi\) | ||||
0.768811 | + | 0.639476i | \(0.220849\pi\) | |||||||
\(702\) | 11.1124 | + | 0.582379i | 0.419412 | + | 0.0219805i | ||||
\(703\) | −28.1015 | − | 34.7025i | −1.05987 | − | 1.30883i | ||||
\(704\) | −56.2878 | − | 5.91609i | −2.12143 | − | 0.222971i | ||||
\(705\) | 50.8004 | − | 9.34199i | 1.91325 | − | 0.351840i | ||||
\(706\) | −12.0787 | − | 16.6249i | −0.454588 | − | 0.625686i | ||||
\(707\) | 0.358302 | + | 2.86721i | 0.0134753 | + | 0.107833i | ||||
\(708\) | 25.7177 | + | 4.07329i | 0.966532 | + | 0.153084i | ||||
\(709\) | −6.15042 | + | 28.9354i | −0.230984 | + | 1.08669i | 0.697864 | + | 0.716231i | \(0.254134\pi\) |
−0.928847 | + | 0.370462i | \(0.879199\pi\) | |||||||
\(710\) | 2.41311 | − | 2.28356i | 0.0905623 | − | 0.0857006i | ||||
\(711\) | −53.8352 | + | 11.4430i | −2.01898 | + | 0.429147i | ||||
\(712\) | 0.0732667 | + | 0.112821i | 0.00274579 | + | 0.00422814i | ||||
\(713\) | 3.13744 | + | 1.59860i | 0.117498 | + | 0.0598682i | ||||
\(714\) | −3.95151 | − | 5.83130i | −0.147882 | − | 0.218231i | ||||
\(715\) | 7.70048 | − | 18.5175i | 0.287982 | − | 0.692514i | ||||
\(716\) | 21.9302 | + | 4.66142i | 0.819572 | + | 0.174205i | ||||
\(717\) | 2.86333 | + | 7.45923i | 0.106933 | + | 0.278570i | ||||
\(718\) | −8.88035 | + | 33.1419i | −0.331412 | + | 1.23685i | ||||
\(719\) | −2.67420 | − | 25.4433i | −0.0997309 | − | 0.948876i | −0.923926 | − | 0.382571i | \(-0.875039\pi\) |
0.824195 | − | 0.566306i | \(-0.191628\pi\) | |||||||
\(720\) | −11.0526 | − | 6.79425i | −0.411904 | − | 0.253207i | ||||
\(721\) | −4.23245 | − | 4.06970i | −0.157625 | − | 0.151564i | ||||
\(722\) | −71.6036 | + | 11.3409i | −2.66481 | + | 0.422064i | ||||
\(723\) | 3.14217 | − | 59.9562i | 0.116859 | − | 2.22980i | ||||
\(724\) | −10.3220 | − | 17.8782i | −0.383613 | − | 0.664437i | ||||
\(725\) | −31.9928 | + | 25.7598i | −1.18818 | + | 0.956694i | ||||
\(726\) | −43.0032 | − | 24.8279i | −1.59600 | − | 0.921451i | ||||
\(727\) | −17.2579 | + | 8.79336i | −0.640061 | + | 0.326128i | −0.743726 | − | 0.668485i | \(-0.766943\pi\) |
0.103665 | + | 0.994612i | \(0.466943\pi\) | |||||||
\(728\) | −8.91690 | + | 5.38391i | −0.330482 | + | 0.199541i | ||||
\(729\) | −23.7820 | + | 32.7332i | −0.880816 | + | 1.21234i | ||||
\(730\) | −60.6768 | − | 57.7412i | −2.24575 | − | 2.13710i | ||||
\(731\) | −0.426152 | + | 0.957154i | −0.0157618 | + | 0.0354016i | ||||
\(732\) | 8.75863 | + | 2.34687i | 0.323728 | + | 0.0867427i | ||||
\(733\) | −31.8957 | − | 25.8286i | −1.17810 | − | 0.954003i | −0.178543 | − | 0.983932i | \(-0.557138\pi\) |
−0.999552 | + | 0.0299292i | \(0.990472\pi\) | |||||||
\(734\) | 2.17680 | + | 6.69952i | 0.0803473 | + | 0.247284i | ||||
\(735\) | 39.9575 | + | 10.2102i | 1.47386 | + | 0.376608i | ||||
\(736\) | 9.03465 | − | 27.8058i | 0.333022 | − | 1.02494i | ||||
\(737\) | 15.9137 | − | 10.3345i | 0.586188 | − | 0.380675i | ||||
\(738\) | 0.183318 | + | 3.49791i | 0.00674802 | + | 0.128760i | ||||
\(739\) | 10.2431 | + | 48.1899i | 0.376798 | + | 1.77270i | 0.602114 | + | 0.798410i | \(0.294325\pi\) |
−0.225316 | + | 0.974286i | \(0.572342\pi\) | |||||||
\(740\) | 13.2741 | + | 37.6519i | 0.487967 | + | 1.38411i | ||||
\(741\) | 36.6075 | − | 11.8945i | 1.34481 | − | 0.436955i | ||||
\(742\) | 0.252873 | + | 1.08468i | 0.00928326 | + | 0.0398198i | ||||
\(743\) | 1.48958 | + | 1.48958i | 0.0546475 | + | 0.0546475i | 0.733902 | − | 0.679255i | \(-0.237697\pi\) |
−0.679255 | + | 0.733902i | \(0.737697\pi\) | |||||||
\(744\) | −4.36590 | + | 0.458875i | −0.160062 | + | 0.0168232i | ||||
\(745\) | 6.78989 | − | 8.82324i | 0.248762 | − | 0.323258i | ||||
\(746\) | −4.87911 | + | 46.4216i | −0.178637 | + | 1.69962i | ||||
\(747\) | −18.4890 | − | 7.09728i | −0.676478 | − | 0.259676i | ||||
\(748\) | −2.64215 | − | 5.18552i | −0.0966067 | − | 0.189601i | ||||
\(749\) | 34.9367 | + | 4.83354i | 1.27656 | + | 0.176614i | ||||
\(750\) | 63.3295 | − | 14.9239i | 2.31247 | − | 0.544945i | ||||
\(751\) | −7.00522 | + | 12.1334i | −0.255624 | + | 0.442754i | −0.965065 | − | 0.262011i | \(-0.915614\pi\) |
0.709441 | + | 0.704765i | \(0.248948\pi\) | |||||||
\(752\) | 10.8214 | + | 7.02753i | 0.394617 | + | 0.256267i | ||||
\(753\) | −56.0377 | + | 45.3784i | −2.04213 | + | 1.65368i | ||||
\(754\) | 33.6373 | − | 14.9763i | 1.22500 | − | 0.545404i | ||||
\(755\) | −7.00617 | + | 2.89060i | −0.254981 | + | 0.105200i | ||||
\(756\) | −0.619240 | + | 18.8963i | −0.0225216 | + | 0.687252i | ||||
\(757\) | 1.81597 | − | 1.81597i | 0.0660025 | − | 0.0660025i | −0.673335 | − | 0.739338i | \(-0.735139\pi\) |
0.739338 | + | 0.673335i | \(0.235139\pi\) | |||||||
\(758\) | 29.6507 | − | 36.6155i | 1.07696 | − | 1.32994i | ||||
\(759\) | 31.9473 | − | 35.4811i | 1.15961 | − | 1.28788i | ||||
\(760\) | 30.6979 | + | 5.73383i | 1.11353 | + | 0.207988i | ||||
\(761\) | −17.2162 | + | 15.5015i | −0.624087 | + | 0.561931i | −0.919328 | − | 0.393492i | \(-0.871267\pi\) |
0.295241 | + | 0.955423i | \(0.404600\pi\) | |||||||
\(762\) | −46.4987 | + | 91.2588i | −1.68447 | + | 3.30596i | ||||
\(763\) | 37.2151 | − | 17.4511i | 1.34728 | − | 0.631773i | ||||
\(764\) | −15.5289 | − | 5.04565i | −0.561816 | − | 0.182545i | ||||
\(765\) | −0.0999425 | − | 4.03164i | −0.00361343 | − | 0.145764i | ||||
\(766\) | 0.407060 | + | 0.366519i | 0.0147077 | + | 0.0132429i | ||||
\(767\) | −6.50463 | + | 2.49689i | −0.234868 | + | 0.0901575i | ||||
\(768\) | 3.65611 | + | 13.6448i | 0.131928 | + | 0.492364i | ||||
\(769\) | −17.3349 | + | 12.5946i | −0.625114 | + | 0.454172i | −0.854704 | − | 0.519115i | \(-0.826261\pi\) |
0.229590 | + | 0.973287i | \(0.426261\pi\) | |||||||
\(770\) | 53.7474 | + | 21.1250i | 1.93692 | + | 0.761292i | ||||
\(771\) | 3.27089 | + | 2.37644i | 0.117798 | + | 0.0855855i | ||||
\(772\) | −3.07744 | + | 8.01701i | −0.110760 | + | 0.288539i | ||||
\(773\) | −14.9983 | + | 23.0954i | −0.539452 | + | 0.830683i | −0.998327 | − | 0.0578174i | \(-0.981586\pi\) |
0.458875 | + | 0.888501i | \(0.348253\pi\) | |||||||
\(774\) | 17.2694 | − | 9.97049i | 0.620735 | − | 0.358382i | ||||
\(775\) | −2.71166 | + | 3.32958i | −0.0974058 | + | 0.119602i | ||||
\(776\) | 8.06377i | 0.289472i | ||||||||
\(777\) | −28.2985 | + | 32.6952i | −1.01520 | + | 1.17294i | ||||
\(778\) | 7.31203 | + | 46.1663i | 0.262149 | + | 1.65514i | ||||
\(779\) | 1.17787 | + | 2.64554i | 0.0422016 | + | 0.0947864i | ||||
\(780\) | −34.4007 | − | 0.948854i | −1.23174 | − | 0.0339744i | ||||
\(781\) | 2.71600 | + | 1.20924i | 0.0971860 | + | 0.0432700i | ||||
\(782\) | 4.00184 | − | 1.07229i | 0.143106 | − | 0.0383450i | ||||
\(783\) | 3.19043 | − | 20.1436i | 0.114017 | − | 0.719874i | ||||
\(784\) | 5.49691 | + | 8.71339i | 0.196318 | + | 0.311192i | ||||
\(785\) | −26.4946 | − | 11.0178i | −0.945633 | − | 0.393241i | ||||
\(786\) | 0.572992 | + | 0.636372i | 0.0204379 | + | 0.0226986i | ||||
\(787\) | 46.6334 | − | 2.44395i | 1.66230 | − | 0.0871175i | 0.802139 | − | 0.597138i | \(-0.203695\pi\) |
0.860162 | + | 0.510020i | \(0.170362\pi\) | |||||||
\(788\) | 14.2908 | − | 0.748952i | 0.509090 | − | 0.0266803i | ||||
\(789\) | −2.69810 | − | 2.99654i | −0.0960548 | − | 0.106680i | ||||
\(790\) | 67.0682 | − | 16.0027i | 2.38618 | − | 0.569350i | ||||
\(791\) | −12.6093 | − | 14.9618i | −0.448336 | − | 0.531982i | ||||
\(792\) | −5.28769 | + | 33.3851i | −0.187890 | + | 1.18629i | ||||
\(793\) | −2.34365 | + | 0.627980i | −0.0832256 | + | 0.0223002i | ||||
\(794\) | 26.3365 | + | 11.7258i | 0.934646 | + | 0.416131i | ||||
\(795\) | −0.376310 | + | 1.05797i | −0.0133463 | + | 0.0375224i | ||||
\(796\) | −12.9109 | − | 28.9984i | −0.457615 | − | 1.02782i | ||||
\(797\) | −4.07746 | − | 25.7440i | −0.144431 | − | 0.911901i | −0.948365 | − | 0.317182i | \(-0.897263\pi\) |
0.803934 | − | 0.594719i | \(-0.202737\pi\) | |||||||
\(798\) | 36.3110 | + | 104.724i | 1.28540 | + | 3.70718i | ||||
\(799\) | 4.01088i | 0.141895i | ||||||||
\(800\) | 30.8272 | + | 17.9130i | 1.08991 | + | 0.633320i | ||||
\(801\) | −0.236736 | + | 0.136680i | −0.00836465 | + | 0.00482933i | ||||
\(802\) | −36.1418 | + | 55.6535i | −1.27621 | + | 1.96519i | ||||
\(803\) | 26.8611 | − | 69.9756i | 0.947908 | − | 2.46938i | ||||
\(804\) | −26.3421 | − | 19.1387i | −0.929016 | − | 0.674969i | ||||
\(805\) | −13.3728 | + | 20.2372i | −0.471330 | + | 0.713267i | ||||
\(806\) | 3.11421 | − | 2.26261i | 0.109693 | − | 0.0796970i | ||||
\(807\) | −16.6666 | − | 62.2006i | −0.586692 | − | 2.18956i | ||||
\(808\) | 1.97805 | − | 0.759301i | 0.0695874 | − | 0.0267121i | ||||
\(809\) | −11.1214 | − | 10.0138i | −0.391008 | − | 0.352065i | 0.450057 | − | 0.893000i | \(-0.351404\pi\) |
−0.841064 | + | 0.540935i | \(0.818070\pi\) | |||||||
\(810\) | 14.8153 | − | 21.4921i | 0.520556 | − | 0.755154i | ||||
\(811\) | −19.0300 | − | 6.18321i | −0.668233 | − | 0.217122i | −0.0447964 | − | 0.998996i | \(-0.514264\pi\) |
−0.623436 | + | 0.781874i | \(0.714264\pi\) | |||||||
\(812\) | 26.5606 | + | 56.6415i | 0.932095 | + | 1.98773i | ||||
\(813\) | −20.0059 | + | 39.2637i | −0.701636 | + | 1.37704i | ||||
\(814\) | −44.9974 | + | 40.5158i | −1.57716 | + | 1.42008i | ||||
\(815\) | 25.8317 | − | 12.2769i | 0.904845 | − | 0.430040i | ||||
\(816\) | 1.18710 | − | 1.31841i | 0.0415568 | − | 0.0461535i | ||||
\(817\) | 10.3752 | − | 12.8124i | 0.362984 | − | 0.448248i | ||||
\(818\) | −14.3397 | + | 14.3397i | −0.501377 | + | 0.501377i | ||||
\(819\) | −9.97711 | − | 18.6674i | −0.348628 | − | 0.652291i | ||||
\(820\) | −0.199538 | − | 2.58143i | −0.00696818 | − | 0.0901473i | ||||
\(821\) | −36.5463 | + | 16.2715i | −1.27548 | + | 0.567878i | −0.928965 | − | 0.370167i | \(-0.879300\pi\) |
−0.346511 | + | 0.938046i | \(0.612634\pi\) | |||||||
\(822\) | 64.0493 | − | 51.8661i | 2.23398 | − | 1.80904i | ||||
\(823\) | 26.1693 | + | 16.9946i | 0.912206 | + | 0.592393i | 0.913158 | − | 0.407606i | \(-0.133636\pi\) |
−0.000952024 | 1.00000i | \(0.500303\pi\) | ||||||||
\(824\) | −2.15273 | + | 3.72863i | −0.0749938 | + | 0.129893i | ||||
\(825\) | 34.0915 | + | 47.1994i | 1.18691 | + | 1.64327i | ||||
\(826\) | −7.55581 | − | 18.5862i | −0.262900 | − | 0.646698i | ||||
\(827\) | −20.1020 | − | 39.4525i | −0.699016 | − | 1.37190i | −0.918162 | − | 0.396204i | \(-0.870327\pi\) |
0.219146 | − | 0.975692i | \(-0.429673\pi\) | |||||||
\(828\) | −43.4344 | − | 16.6729i | −1.50945 | − | 0.579423i | ||||
\(829\) | −0.0182895 | + | 0.174013i | −0.000635222 | + | 0.00604373i | −0.994835 | − | 0.101506i | \(-0.967634\pi\) |
0.994200 | + | 0.107550i | \(0.0343005\pi\) | |||||||
\(830\) | 23.3761 | + | 8.31464i | 0.811396 | + | 0.288605i | ||||
\(831\) | 55.2614 | − | 5.80820i | 1.91700 | − | 0.201484i | ||||
\(832\) | −18.3763 | − | 18.3763i | −0.637082 | − | 0.637082i | ||||
\(833\) | −1.34094 | + | 2.90820i | −0.0464608 | + | 0.100763i | ||||
\(834\) | 89.4360 | − | 29.0595i | 3.09691 | − | 1.00625i | ||||
\(835\) | −1.91513 | + | 6.43239i | −0.0662757 | + | 0.222602i | ||||
\(836\) | 19.0399 | + | 89.5758i | 0.658510 | + | 3.09805i | ||||
\(837\) | −0.111588 | − | 2.12922i | −0.00385704 | − | 0.0735968i | ||||
\(838\) | 19.6523 | − | 12.7623i | 0.678877 | − | 0.440868i | ||||
\(839\) | 5.86993 | − | 18.0658i | 0.202652 | − | 0.623700i | −0.797149 | − | 0.603782i | \(-0.793660\pi\) |
0.999802 | − | 0.0199176i | \(-0.00634040\pi\) | |||||||
\(840\) | 0.241145 | − | 30.2398i | 0.00832030 | − | 1.04337i | ||||
\(841\) | −11.8923 | − | 36.6008i | −0.410080 | − | 1.26210i | ||||
\(842\) | −30.9756 | − | 25.0835i | −1.06749 | − | 0.864435i | ||||
\(843\) | −21.4141 | − | 5.73790i | −0.737541 | − | 0.197624i | ||||
\(844\) | 15.5677 | − | 34.9657i | 0.535864 | − | 1.20357i | ||||
\(845\) | −17.4668 | + | 9.45218i | −0.600877 | + | 0.325165i | ||||
\(846\) | 44.8697 | − | 61.7579i | 1.54265 | − | 2.12328i | ||||
\(847\) | 0.442472 | + | 22.5709i | 0.0152035 | + | 0.775546i | ||||
\(848\) | −0.249936 | + | 0.127349i | −0.00858283 | + | 0.00437317i | ||||
\(849\) | −7.58889 | − | 4.38145i | −0.260450 | − | 0.150371i | ||||
\(850\) | 0.250337 | + | 5.04614i | 0.00858648 | + | 0.173081i | ||||
\(851\) | −12.7163 | − | 22.0252i | −0.435908 | − | 0.755015i | ||||
\(852\) | 0.267001 | − | 5.09469i | 0.00914732 | − | 0.174541i | ||||
\(853\) | −15.2624 | + | 2.41733i | −0.522575 | + | 0.0827678i | −0.412149 | − | 0.911117i | \(-0.635222\pi\) |
−0.110426 | + | 0.993884i | \(0.535222\pi\) | |||||||
\(854\) | −1.94027 | − | 6.71207i | −0.0663945 | − | 0.229682i | ||||
\(855\) | −14.9002 | + | 61.6845i | −0.509576 | + | 2.10956i | ||||
\(856\) | −2.70330 | − | 25.7201i | −0.0923967 | − | 0.879096i | ||||
\(857\) | 11.9360 | − | 44.5456i | 0.407725 | − | 1.52165i | −0.391250 | − | 0.920285i | \(-0.627957\pi\) |
0.798974 | − | 0.601365i | \(-0.205376\pi\) | |||||||
\(858\) | −18.7046 | − | 48.7272i | −0.638566 | − | 1.66352i | ||||
\(859\) | −31.3450 | − | 6.66259i | −1.06948 | − | 0.227325i | −0.360646 | − | 0.932703i | \(-0.617444\pi\) |
−0.708831 | + | 0.705378i | \(0.750777\pi\) | |||||||
\(860\) | −12.5786 | + | 7.68405i | −0.428926 | + | 0.262024i | ||||
\(861\) | 2.32149 | − | 1.57313i | 0.0791160 | − | 0.0536120i | ||||
\(862\) | −77.6355 | − | 39.5572i | −2.64427 | − | 1.34733i | ||||
\(863\) | −4.54236 | − | 6.99462i | −0.154624 | − | 0.238100i | 0.752866 | − | 0.658174i | \(-0.228671\pi\) |
−0.907490 | + | 0.420074i | \(0.862004\pi\) | |||||||
\(864\) | −17.3163 | + | 3.68070i | −0.589114 | + | 0.125220i | ||||
\(865\) | 9.81479 | − | 52.5465i | 0.333713 | − | 1.78664i | ||||
\(866\) | −7.13850 | + | 33.5840i | −0.242576 | + | 1.14123i | ||||
\(867\) | −43.6957 | − | 6.92072i | −1.48398 | − | 0.235040i | ||||
\(868\) | 3.94724 | + | 5.21482i | 0.133978 | + | 0.177002i | ||||
\(869\) | 36.2675 | + | 49.9179i | 1.23029 | + | 1.69335i | ||||
\(870\) | −14.1010 | + | 105.965i | −0.478068 | + | 3.59254i | ||||
\(871\) | 8.66493 | + | 0.910721i | 0.293600 | + | 0.0308586i | ||||
\(872\) | −18.9676 | − | 23.4230i | −0.642323 | − | 0.793202i | ||||
\(873\) | −16.3636 | − | 0.857578i | −0.553823 | − | 0.0290246i | ||||
\(874\) | −65.1915 | −2.20514 | ||||||||
\(875\) | −20.6901 | − | 21.1405i | −0.699454 | − | 0.714678i | ||||
\(876\) | −128.620 | −4.34568 | ||||||||
\(877\) | 21.1930 | + | 1.11068i | 0.715637 | + | 0.0375049i | 0.406679 | − | 0.913571i | \(-0.366687\pi\) |
0.308957 | + | 0.951076i | \(0.400020\pi\) | |||||||
\(878\) | 24.2376 | + | 29.9309i | 0.817978 | + | 1.01012i | ||||
\(879\) | −1.14895 | − | 0.120760i | −0.0387533 | − | 0.00407313i | ||||
\(880\) | −1.91859 | + | 14.4176i | −0.0646756 | + | 0.486018i | ||||
\(881\) | 12.5457 | + | 17.2677i | 0.422677 | + | 0.581765i | 0.966253 | − | 0.257595i | \(-0.0829301\pi\) |
−0.543576 | + | 0.839360i | \(0.682930\pi\) | |||||||
\(882\) | 53.1813 | − | 29.7782i | 1.79071 | − | 1.00269i | ||||
\(883\) | −8.22483 | − | 1.30268i | −0.276787 | − | 0.0438388i | 0.0164975 | − | 0.999864i | \(-0.494748\pi\) |
−0.293285 | + | 0.956025i | \(0.594748\pi\) | |||||||
\(884\) | 0.555600 | − | 2.61389i | 0.0186869 | − | 0.0879147i | ||||
\(885\) | 3.71401 | − | 19.8841i | 0.124845 | − | 0.668398i | ||||
\(886\) | 57.7132 | − | 12.2673i | 1.93891 | − | 0.412129i | ||||
\(887\) | 8.17423 | + | 12.5872i | 0.274464 | + | 0.422637i | 0.948843 | − | 0.315748i | \(-0.102255\pi\) |
−0.674379 | + | 0.738385i | \(0.735589\pi\) | |||||||
\(888\) | 28.2511 | + | 14.3947i | 0.948046 | + | 0.483054i | ||||
\(889\) | 46.4441 | − | 3.34794i | 1.55768 | − | 0.112286i | ||||
\(890\) | 0.292246 | − | 0.178528i | 0.00979609 | − | 0.00598427i | ||||
\(891\) | 22.8489 | + | 4.85667i | 0.765465 | + | 0.162705i | ||||
\(892\) | −17.9791 | − | 46.8372i | −0.601985 | − | 1.56822i | ||||
\(893\) | 16.3347 | − | 60.9619i | 0.546620 | − | 2.04001i | ||||
\(894\) | −3.02875 | − | 28.8166i | −0.101297 | − | 0.963773i | ||||
\(895\) | 4.08960 | − | 16.9303i | 0.136700 | − | 0.565918i | ||||
\(896\) | 25.7163 | − | 26.7447i | 0.859121 | − | 0.893478i | ||||
\(897\) | 21.6529 | − | 3.42948i | 0.722969 | − | 0.114507i | ||||
\(898\) | 2.02196 | − | 38.5813i | 0.0674737 | − | 1.28747i | ||||
\(899\) | −3.52755 | − | 6.10989i | −0.117650 | − | 0.203776i | ||||
\(900\) | 31.0333 | − | 47.4964i | 1.03444 | − | 1.58321i | ||||
\(901\) | −0.0755135 | − | 0.0435977i | −0.00251572 | − | 0.00145245i | ||||
\(902\) | 3.49882 | − | 1.78274i | 0.116498 | − | 0.0593587i | ||||
\(903\) | −13.9798 | − | 7.70990i | −0.465217 | − | 0.256569i | ||||
\(904\) | −8.43322 | + | 11.6073i | −0.280485 | + | 0.386054i | ||||
\(905\) | −14.1046 | + | 7.63269i | −0.468852 | + | 0.253719i | ||||
\(906\) | −8.02287 | + | 18.0197i | −0.266542 | + | 0.598663i | ||||
\(907\) | 41.7522 | + | 11.1875i | 1.38636 | + | 0.371474i | 0.873427 | − | 0.486955i | \(-0.161892\pi\) |
0.512933 | + | 0.858429i | \(0.328559\pi\) | |||||||
\(908\) | 46.4400 | + | 37.6064i | 1.54117 | + | 1.24801i | ||||
\(909\) | 1.33046 | + | 4.09474i | 0.0441286 | + | 0.135814i | ||||
\(910\) | 13.0749 | + | 23.0693i | 0.433430 | + | 0.764741i | ||||
\(911\) | 8.04895 | − | 24.7721i | 0.266673 | − | 0.820737i | −0.724630 | − | 0.689138i | \(-0.757989\pi\) |
0.991303 | − | 0.131598i | \(-0.0420108\pi\) | |||||||
\(912\) | −23.4122 | + | 15.2041i | −0.775256 | + | 0.503457i | ||||
\(913\) | 1.16198 | + | 22.1719i | 0.0384560 | + | 0.733784i | ||||
\(914\) | −9.70857 | − | 45.6752i | −0.321131 | − | 1.51080i | ||||
\(915\) | 2.01009 | − | 6.75133i | 0.0664514 | − | 0.223192i | ||||
\(916\) | −44.3164 | + | 14.3993i | −1.46426 | + | 0.475765i | ||||
\(917\) | 0.113024 | − | 0.372546i | 0.00373239 | − | 0.0123025i | ||||
\(918\) | −1.77388 | − | 1.77388i | −0.0585467 | − | 0.0585467i | ||||
\(919\) | 50.6948 | − | 5.32824i | 1.67227 | − | 0.175763i | 0.779539 | − | 0.626354i | \(-0.215454\pi\) |
0.892730 | + | 0.450592i | \(0.148787\pi\) | |||||||
\(920\) | 16.7578 | + | 5.96060i | 0.552490 | + | 0.196515i | ||||
\(921\) | 8.66176 | − | 82.4111i | 0.285415 | − | 2.71554i | ||||
\(922\) | −43.2145 | − | 16.5885i | −1.42319 | − | 0.546313i | ||||
\(923\) | 0.619752 | + | 1.21633i | 0.0203994 | + | 0.0400360i | ||||
\(924\) | 82.1509 | − | 33.3965i | 2.70257 | − | 1.09867i | ||||
\(925\) | 29.5233 | − | 9.50169i | 0.970720 | − | 0.312413i | ||||
\(926\) | −23.5431 | + | 40.7779i | −0.773676 | + | 1.34005i | ||||
\(927\) | −7.33746 | − | 4.76500i | −0.240994 | − | 0.156503i | ||||
\(928\) | −45.5239 | + | 36.8646i | −1.49440 | + | 1.21014i | ||||
\(929\) | 20.4439 | − | 9.10219i | 0.670741 | − | 0.298633i | −0.0429670 | − | 0.999076i | \(-0.513681\pi\) |
0.713708 | + | 0.700443i | \(0.247014\pi\) | |||||||
\(930\) | 0.861284 | + | 11.1424i | 0.0282426 | + | 0.365374i | ||||
\(931\) | 32.2251 | − | 38.7411i | 1.05613 | − | 1.26969i | ||||
\(932\) | 17.5593 | − | 17.5593i | 0.575172 | − | 0.575172i | ||||
\(933\) | −26.7393 | + | 33.0202i | −0.875404 | + | 1.08103i | ||||
\(934\) | 10.5782 | − | 11.7482i | 0.346128 | − | 0.384414i | ||||
\(935\) | −4.08346 | + | 1.94072i | −0.133543 | + | 0.0634683i | ||||
\(936\) | −11.5340 | + | 10.3852i | −0.376999 | + | 0.339452i | ||||
\(937\) | 9.42552 | − | 18.4986i | 0.307918 | − | 0.604324i | −0.684248 | − | 0.729250i | \(-0.739869\pi\) |
0.992166 | + | 0.124926i | \(0.0398693\pi\) | |||||||
\(938\) | −2.13297 | + | 24.9982i | −0.0696439 | + | 0.816221i | ||||
\(939\) | −41.6775 | − | 13.5418i | −1.36009 | − | 0.441921i | ||||
\(940\) | −32.0252 | + | 46.4580i | −1.04455 | + | 1.51529i | ||||
\(941\) | −8.96677 | − | 8.07372i | −0.292308 | − | 0.263196i | 0.509908 | − | 0.860229i | \(-0.329679\pi\) |
−0.802217 | + | 0.597033i | \(0.796346\pi\) | |||||||
\(942\) | −69.7184 | + | 26.7624i | −2.27155 | + | 0.871965i | ||||
\(943\) | 0.426887 | + | 1.59316i | 0.0139013 | + | 0.0518805i | ||||
\(944\) | 4.08804 | − | 2.97014i | 0.133054 | − | 0.0966697i | ||||
\(945\) | 14.6608 | + | 0.885624i | 0.476917 | + | 0.0288094i | ||||
\(946\) | −18.0859 | − | 13.1402i | −0.588024 | − | 0.427224i | ||||
\(947\) | 12.3556 | − | 32.1875i | 0.401504 | − | 1.04595i | −0.572596 | − | 0.819838i | \(-0.694064\pi\) |
0.974100 | − | 0.226117i | \(-0.0726030\pi\) | |||||||
\(948\) | 57.6662 | − | 88.7982i | 1.87291 | − | 2.88403i | ||||
\(949\) | 29.8056 | − | 17.2083i | 0.967530 | − | 0.558604i | ||||
\(950\) | 16.7460 | − | 77.7165i | 0.543311 | − | 2.52145i | ||||
\(951\) | 30.9173i | 1.00256i | ||||||||
\(952\) | 2.30606 | + | 0.443114i | 0.0747398 | + | 0.0143614i | ||||
\(953\) | 5.72843 | + | 36.1679i | 0.185562 | + | 1.17159i | 0.887999 | + | 0.459846i | \(0.152095\pi\) |
−0.702437 | + | 0.711746i | \(0.747905\pi\) | |||||||
\(954\) | 0.674997 | + | 1.51607i | 0.0218538 | + | 0.0490845i | ||||
\(955\) | −4.25087 | + | 11.9511i | −0.137555 | + | 0.386727i | ||||
\(956\) | −7.97383 | − | 3.55018i | −0.257892 | − | 0.114821i | ||||
\(957\) | −92.4008 | + | 24.7587i | −2.98689 | + | 0.800336i | ||||
\(958\) | 5.18682 | − | 32.7483i | 0.167579 | − | 1.05805i | ||||
\(959\) | −35.2369 | − | 12.7396i | −1.13786 | − | 0.411382i | ||||
\(960\) | 73.3890 | − | 17.5109i | 2.36862 | − | 0.565161i | ||||
\(961\) | 20.2495 | + | 22.4894i | 0.653210 | + | 0.725464i | ||||
\(962\) | −27.7645 | + | 1.45508i | −0.895164 | + | 0.0469136i | ||||
\(963\) | 52.4806 | − | 2.75039i | 1.69116 | − | 0.0886301i | ||||
\(964\) | 43.8870 | + | 48.7414i | 1.41350 | + | 1.56986i | ||||
\(965\) | 6.15977 | + | 2.56154i | 0.198290 | + | 0.0824588i | ||||
\(966\) | 11.0957 | + | 62.1463i | 0.357000 | + | 1.99952i | ||||
\(967\) | −9.34349 | + | 58.9925i | −0.300466 | + | 1.89707i | 0.125103 | + | 0.992144i | \(0.460074\pi\) |
−0.425569 | + | 0.904926i | \(0.639926\pi\) | |||||||
\(968\) | 15.9895 | − | 4.28438i | 0.513923 | − | 0.137705i | ||||
\(969\) | −7.92734 | − | 3.52948i | −0.254663 | − | 0.113383i | ||||
\(970\) | 20.5204 | + | 0.566002i | 0.658871 | + | 0.0181732i | ||||
\(971\) | 7.92625 | + | 17.8026i | 0.254365 | + | 0.571314i | 0.994918 | − | 0.100684i | \(-0.0321031\pi\) |
−0.740553 | + | 0.671998i | \(0.765436\pi\) | |||||||
\(972\) | −9.62419 | − | 60.7648i | −0.308696 | − | 1.94903i | ||||
\(973\) | −32.3264 | − | 27.9792i | −1.03634 | − | 0.896972i | ||||
\(974\) | 46.7653i | 1.49846i | ||||||||
\(975\) | −1.47368 | + | 26.6939i | −0.0471956 | + | 0.854889i | ||||
\(976\) | 1.52394 | − | 0.879847i | 0.0487801 | − | 0.0281632i | ||||
\(977\) | 12.0124 | − | 18.4975i | 0.384311 | − | 0.591787i | −0.592583 | − | 0.805509i | \(-0.701892\pi\) |
0.976895 | + | 0.213722i | \(0.0685586\pi\) | |||||||
\(978\) | 26.6752 | − | 69.4912i | 0.852978 | − | 2.22208i | ||||
\(979\) | 0.247929 | + | 0.180131i | 0.00792385 | + | 0.00575701i | ||||
\(980\) | −38.7529 | + | 22.9788i | −1.23792 | + | 0.734032i | ||||
\(981\) | 49.5488 | − | 35.9993i | 1.58197 | − | 1.14937i | ||||
\(982\) | 17.9598 | + | 67.0269i | 0.573121 | + | 2.13892i | ||||
\(983\) | −5.45930 | + | 2.09563i | −0.174124 | + | 0.0668401i | −0.443868 | − | 0.896092i | \(-0.646394\pi\) |
0.269744 | + | 0.962932i | \(0.413061\pi\) | |||||||
\(984\) | −1.52811 | − | 1.37592i | −0.0487145 | − | 0.0438627i | ||||
\(985\) | −0.275505 | − | 11.1137i | −0.00877831 | − | 0.354113i | ||||
\(986\) | −7.89461 | − | 2.56511i | −0.251416 | − | 0.0816899i | ||||
\(987\) | −60.8945 | − | 5.19581i | −1.93829 | − | 0.165384i | ||||
\(988\) | −19.0900 | + | 37.4662i | −0.607333 | + | 1.19196i | ||||
\(989\) | 6.97802 | − | 6.28304i | 0.221888 | − | 0.199789i | ||||
\(990\) | 84.5863 | + | 15.7993i | 2.68833 | + | 0.502133i | ||||
\(991\) | −39.4922 | + | 43.8605i | −1.25451 | + | 1.39327i | −0.368487 | + | 0.929633i | \(0.620124\pi\) |
−0.886023 | + | 0.463642i | \(0.846542\pi\) | |||||||
\(992\) | −3.85397 | + | 4.75926i | −0.122364 | + | 0.151107i | ||||
\(993\) | 2.62534 | − | 2.62534i | 0.0833128 | − | 0.0833128i | ||||
\(994\) | −3.46691 | + | 1.85295i | −0.109964 | + | 0.0587720i | ||||
\(995\) | −22.7955 | + | 9.40497i | −0.722667 | + | 0.298158i | ||||
\(996\) | 34.8052 | − | 15.4963i | 1.10284 | − | 0.491018i | ||||
\(997\) | −16.0715 | + | 13.0144i | −0.508989 | + | 0.412171i | −0.849114 | − | 0.528209i | \(-0.822864\pi\) |
0.340125 | + | 0.940380i | \(0.389530\pi\) | |||||||
\(998\) | −39.4105 | − | 25.5935i | −1.24752 | − | 0.810147i | ||||
\(999\) | −7.69985 | + | 13.3365i | −0.243613 | + | 0.421949i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(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 | 175.2.x.a.103.17 | yes | 288 | |
5.2 | odd | 4 | 875.2.bb.b.257.2 | 288 | |||
5.3 | odd | 4 | 875.2.bb.a.257.17 | 288 | |||
5.4 | even | 2 | 875.2.bb.c.243.2 | 288 | |||
7.3 | odd | 6 | inner | 175.2.x.a.3.2 | ✓ | 288 | |
25.6 | even | 5 | 875.2.bb.b.768.2 | 288 | |||
25.8 | odd | 20 | 875.2.bb.c.607.17 | 288 | |||
25.17 | odd | 20 | inner | 175.2.x.a.117.2 | yes | 288 | |
25.19 | even | 10 | 875.2.bb.a.768.17 | 288 | |||
35.3 | even | 12 | 875.2.bb.a.507.17 | 288 | |||
35.17 | even | 12 | 875.2.bb.b.507.2 | 288 | |||
35.24 | odd | 6 | 875.2.bb.c.493.17 | 288 | |||
175.17 | even | 60 | inner | 175.2.x.a.17.17 | yes | 288 | |
175.31 | odd | 30 | 875.2.bb.b.143.2 | 288 | |||
175.94 | odd | 30 | 875.2.bb.a.143.17 | 288 | |||
175.108 | even | 60 | 875.2.bb.c.857.2 | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.x.a.3.2 | ✓ | 288 | 7.3 | odd | 6 | inner | |
175.2.x.a.17.17 | yes | 288 | 175.17 | even | 60 | inner | |
175.2.x.a.103.17 | yes | 288 | 1.1 | even | 1 | trivial | |
175.2.x.a.117.2 | yes | 288 | 25.17 | odd | 20 | inner | |
875.2.bb.a.143.17 | 288 | 175.94 | odd | 30 | |||
875.2.bb.a.257.17 | 288 | 5.3 | odd | 4 | |||
875.2.bb.a.507.17 | 288 | 35.3 | even | 12 | |||
875.2.bb.a.768.17 | 288 | 25.19 | even | 10 | |||
875.2.bb.b.143.2 | 288 | 175.31 | odd | 30 | |||
875.2.bb.b.257.2 | 288 | 5.2 | odd | 4 | |||
875.2.bb.b.507.2 | 288 | 35.17 | even | 12 | |||
875.2.bb.b.768.2 | 288 | 25.6 | even | 5 | |||
875.2.bb.c.243.2 | 288 | 5.4 | even | 2 | |||
875.2.bb.c.493.17 | 288 | 35.24 | odd | 6 | |||
875.2.bb.c.607.17 | 288 | 25.8 | odd | 20 | |||
875.2.bb.c.857.2 | 288 | 175.108 | even | 60 |