Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [896,2,Mod(3,896)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(896, base_ring=CyclotomicField(96))
chi = DirichletCharacter(H, H._module([48, 9, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("896.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 896 = 2^{7} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 896.bt (of order \(96\), degree \(32\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.15459602111\) |
Analytic rank: | \(0\) |
Dimension: | \(4032\) |
Relative dimension: | \(126\) over \(\Q(\zeta_{96})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{96}]$ |
Embedding invariants
Embedding label | 59.64 | ||
Character | \(\chi\) | \(=\) | 896.59 |
Dual form | 896.2.bt.a.243.64 |
$q$-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 \(\left(\mathbb{Z}/896\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(129\) | \(645\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{17}{32}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0179262 | − | 1.41410i | 0.0126758 | − | 0.999920i | ||||
\(3\) | 2.20118 | + | 2.35018i | 1.27085 | + | 1.35688i | 0.904542 | + | 0.426385i | \(0.140213\pi\) |
0.366312 | + | 0.930492i | \(0.380620\pi\) | |||||||
\(4\) | −1.99936 | − | 0.0506990i | −0.999679 | − | 0.0253495i | ||||
\(5\) | −1.73008 | − | 3.81837i | −0.773716 | − | 1.70763i | −0.704152 | − | 0.710049i | \(-0.748673\pi\) |
−0.0695632 | − | 0.997578i | \(-0.522161\pi\) | |||||||
\(6\) | 3.36285 | − | 3.07056i | 1.37288 | − | 1.25355i | ||||
\(7\) | −2.64041 | + | 0.167960i | −0.997983 | + | 0.0634831i | ||||
\(8\) | −0.107534 | + | 2.82638i | −0.0380191 | + | 0.999277i | ||||
\(9\) | −0.481926 | + | 7.35278i | −0.160642 | + | 2.45093i | ||||
\(10\) | −5.43057 | + | 2.37806i | −1.71730 | + | 0.752008i | ||||
\(11\) | −1.49875 | − | 2.41018i | −0.451890 | − | 0.726698i | 0.541598 | − | 0.840638i | \(-0.317820\pi\) |
−0.993488 | + | 0.113940i | \(0.963653\pi\) | |||||||
\(12\) | −4.28180 | − | 4.81045i | −1.23605 | − | 1.38866i | ||||
\(13\) | 0.0646389 | + | 0.656290i | 0.0179276 | + | 0.182022i | 0.999978 | − | 0.00659536i | \(-0.00209938\pi\) |
−0.982051 | + | 0.188617i | \(0.939599\pi\) | |||||||
\(14\) | 0.190180 | + | 3.73682i | 0.0508278 | + | 0.998707i | ||||
\(15\) | 5.16563 | − | 12.4709i | 1.33376 | − | 3.21998i | ||||
\(16\) | 3.99486 | + | 0.202731i | 0.998715 | + | 0.0506827i | ||||
\(17\) | −2.93095 | − | 0.385867i | −0.710860 | − | 0.0935864i | −0.233580 | − | 0.972338i | \(-0.575044\pi\) |
−0.477280 | + | 0.878751i | \(0.658377\pi\) | |||||||
\(18\) | 10.3889 | + | 0.813300i | 2.44869 | + | 0.191697i | ||||
\(19\) | 0.108177 | − | 0.655216i | 0.0248174 | − | 0.150317i | −0.971368 | − | 0.237581i | \(-0.923646\pi\) |
0.996185 | + | 0.0872637i | \(0.0278123\pi\) | |||||||
\(20\) | 3.26546 | + | 7.72200i | 0.730179 | + | 1.72669i | ||||
\(21\) | −6.20677 | − | 5.83574i | −1.35443 | − | 1.27346i | ||||
\(22\) | −3.43511 | + | 2.07618i | −0.732368 | + | 0.442642i | ||||
\(23\) | −4.91603 | − | 5.60566i | −1.02506 | − | 1.16886i | −0.985506 | − | 0.169643i | \(-0.945739\pi\) |
−0.0395572 | − | 0.999217i | \(-0.512595\pi\) | |||||||
\(24\) | −6.87921 | + | 5.96866i | −1.40421 | + | 1.21835i | ||||
\(25\) | −8.29003 | + | 9.45297i | −1.65801 | + | 1.89059i | ||||
\(26\) | 0.929218 | − | 0.0796411i | 0.182235 | − | 0.0156189i | ||||
\(27\) | −10.8738 | + | 8.92391i | −2.09267 | + | 1.71741i | ||||
\(28\) | 5.28765 | − | 0.201947i | 0.999271 | − | 0.0381643i | ||||
\(29\) | −0.444671 | − | 0.831922i | −0.0825734 | − | 0.154484i | 0.837245 | − | 0.546827i | \(-0.184165\pi\) |
−0.919819 | + | 0.392343i | \(0.871665\pi\) | |||||||
\(30\) | −17.5425 | − | 7.52827i | −3.20282 | − | 1.37447i | ||||
\(31\) | −8.55419 | + | 2.29209i | −1.53638 | + | 0.411671i | −0.925093 | − | 0.379740i | \(-0.876013\pi\) |
−0.611284 | + | 0.791411i | \(0.709347\pi\) | |||||||
\(32\) | 0.358294 | − | 5.64550i | 0.0633381 | − | 0.997992i | ||||
\(33\) | 2.36534 | − | 8.82759i | 0.411754 | − | 1.53669i | ||||
\(34\) | −0.598195 | + | 4.13774i | −0.102590 | + | 0.709616i | ||||
\(35\) | 5.20946 | + | 9.79149i | 0.880560 | + | 1.65506i | ||||
\(36\) | 1.33632 | − | 14.6764i | 0.222720 | − | 2.44607i | ||||
\(37\) | 2.02115 | − | 5.37007i | 0.332275 | − | 0.882834i | −0.659133 | − | 0.752027i | \(-0.729076\pi\) |
0.991408 | − | 0.130807i | \(-0.0417569\pi\) | |||||||
\(38\) | −0.924602 | − | 0.164718i | −0.149990 | − | 0.0267208i | ||||
\(39\) | −1.40012 | + | 1.59653i | −0.224198 | + | 0.255649i | ||||
\(40\) | 10.9782 | − | 4.47926i | 1.73581 | − | 0.708234i | ||||
\(41\) | −0.200883 | − | 1.00991i | −0.0313727 | − | 0.157721i | 0.961923 | − | 0.273319i | \(-0.0881215\pi\) |
−0.993296 | + | 0.115598i | \(0.963122\pi\) | |||||||
\(42\) | −8.36358 | + | 8.67239i | −1.29053 | + | 1.33818i | ||||
\(43\) | −4.96112 | + | 1.50494i | −0.756564 | + | 0.229501i | −0.644923 | − | 0.764248i | \(-0.723111\pi\) |
−0.111641 | + | 0.993749i | \(0.535611\pi\) | |||||||
\(44\) | 2.87434 | + | 4.89480i | 0.433323 | + | 0.737919i | ||||
\(45\) | 28.9094 | − | 10.8807i | 4.30956 | − | 1.62200i | ||||
\(46\) | −8.01508 | + | 6.85127i | −1.18176 | + | 1.01016i | ||||
\(47\) | −0.306524 | + | 0.399470i | −0.0447112 | + | 0.0582687i | −0.815174 | − | 0.579216i | \(-0.803359\pi\) |
0.770463 | + | 0.637485i | \(0.220025\pi\) | |||||||
\(48\) | 8.31696 | + | 9.83488i | 1.20045 | + | 1.41954i | ||||
\(49\) | 6.94358 | − | 0.886970i | 0.991940 | − | 0.126710i | ||||
\(50\) | 13.2188 | + | 11.8924i | 1.86943 | + | 1.68184i | ||||
\(51\) | −5.54470 | − | 7.73762i | −0.776413 | − | 1.08348i | ||||
\(52\) | −0.0959631 | − | 1.31544i | −0.0133077 | − | 0.182418i | ||||
\(53\) | 4.51126 | + | 7.25469i | 0.619669 | + | 0.996508i | 0.997502 | + | 0.0706348i | \(0.0225025\pi\) |
−0.377834 | + | 0.925874i | \(0.623331\pi\) | |||||||
\(54\) | 12.4244 | + | 15.5366i | 1.69074 | + | 2.11427i | ||||
\(55\) | −6.61002 | + | 9.89259i | −0.891294 | + | 1.33392i | ||||
\(56\) | −0.190785 | − | 7.48088i | −0.0254947 | − | 0.999675i | ||||
\(57\) | 1.77799 | − | 1.18802i | 0.235501 | − | 0.157357i | ||||
\(58\) | −1.18439 | + | 0.613897i | −0.155518 | + | 0.0806086i | ||||
\(59\) | 2.02677 | − | 2.82835i | 0.263862 | − | 0.368220i | −0.659790 | − | 0.751450i | \(-0.729355\pi\) |
0.923653 | + | 0.383230i | \(0.125188\pi\) | |||||||
\(60\) | −10.9602 | + | 24.6720i | −1.41496 | + | 3.18514i | ||||
\(61\) | 2.84633 | − | 0.663672i | 0.364436 | − | 0.0849745i | −0.0408483 | − | 0.999165i | \(-0.513006\pi\) |
0.405284 | + | 0.914191i | \(0.367173\pi\) | |||||||
\(62\) | 3.08790 | + | 12.1376i | 0.392163 | + | 1.54147i | ||||
\(63\) | 0.0375099 | − | 19.4953i | 0.00472580 | − | 2.45618i | ||||
\(64\) | −7.97687 | − | 0.607866i | −0.997109 | − | 0.0759833i | ||||
\(65\) | 2.39413 | − | 1.38225i | 0.296955 | − | 0.171447i | ||||
\(66\) | −12.4407 | − | 3.50308i | −1.53134 | − | 0.431199i | ||||
\(67\) | −1.12206 | − | 1.19802i | −0.137082 | − | 0.146361i | 0.657645 | − | 0.753328i | \(-0.271553\pi\) |
−0.794727 | + | 0.606967i | \(0.792386\pi\) | |||||||
\(68\) | 5.84045 | + | 0.920082i | 0.708259 | + | 0.111576i | ||||
\(69\) | 2.35322 | − | 23.8926i | 0.283294 | − | 2.87633i | ||||
\(70\) | 13.9395 | − | 7.19118i | 1.66609 | − | 0.859510i | ||||
\(71\) | −6.42328 | − | 9.61311i | −0.762303 | − | 1.14087i | −0.986087 | − | 0.166228i | \(-0.946841\pi\) |
0.223785 | − | 0.974639i | \(-0.428159\pi\) | |||||||
\(72\) | −20.7299 | − | 2.15278i | −2.44305 | − | 0.253708i | ||||
\(73\) | 4.26032 | − | 2.10096i | 0.498633 | − | 0.245899i | −0.175539 | − | 0.984472i | \(-0.556167\pi\) |
0.674173 | + | 0.738574i | \(0.264500\pi\) | |||||||
\(74\) | −7.55758 | − | 2.95437i | −0.878551 | − | 0.343439i | ||||
\(75\) | −40.4641 | + | 1.32466i | −4.67239 | + | 0.152958i | ||||
\(76\) | −0.249503 | + | 1.30453i | −0.0286199 | + | 0.149640i | ||||
\(77\) | 4.36213 | + | 6.11215i | 0.497111 | + | 0.696545i | ||||
\(78\) | 2.23255 | + | 2.00853i | 0.252787 | + | 0.227421i | ||||
\(79\) | 2.04090 | + | 15.5022i | 0.229620 | + | 1.74414i | 0.586468 | + | 0.809973i | \(0.300518\pi\) |
−0.356848 | + | 0.934162i | \(0.616149\pi\) | |||||||
\(80\) | −6.13733 | − | 15.6046i | −0.686174 | − | 1.74465i | ||||
\(81\) | −22.9915 | − | 3.02689i | −2.55461 | − | 0.336321i | ||||
\(82\) | −1.43171 | + | 0.265965i | −0.158106 | + | 0.0293709i | ||||
\(83\) | 10.2789 | − | 12.5249i | 1.12826 | − | 1.37479i | 0.210530 | − | 0.977587i | \(-0.432481\pi\) |
0.917731 | − | 0.397202i | \(-0.130019\pi\) | |||||||
\(84\) | 12.1137 | + | 11.9824i | 1.32171 | + | 1.30739i | ||||
\(85\) | 3.59740 | + | 11.8590i | 0.390192 | + | 1.28629i | ||||
\(86\) | 2.03920 | + | 7.04250i | 0.219893 | + | 0.759412i | ||||
\(87\) | 0.976362 | − | 2.87627i | 0.104677 | − | 0.308369i | ||||
\(88\) | 6.97327 | − | 3.97686i | 0.743353 | − | 0.423935i | ||||
\(89\) | −2.52048 | − | 7.42509i | −0.267170 | − | 0.787057i | −0.994870 | − | 0.101162i | \(-0.967744\pi\) |
0.727700 | − | 0.685896i | \(-0.240589\pi\) | |||||||
\(90\) | −14.8682 | − | 41.0758i | −1.56724 | − | 4.32977i | ||||
\(91\) | −0.280904 | − | 1.72202i | −0.0294468 | − | 0.180517i | ||||
\(92\) | 9.54470 | + | 11.4569i | 0.995103 | + | 1.19447i | ||||
\(93\) | −24.2162 | − | 15.0586i | −2.51110 | − | 1.56150i | ||||
\(94\) | 0.559396 | + | 0.440617i | 0.0576973 | + | 0.0454462i | ||||
\(95\) | −2.68901 | + | 0.720519i | −0.275887 | + | 0.0739237i | ||||
\(96\) | 14.0566 | − | 11.5847i | 1.43465 | − | 1.18236i | ||||
\(97\) | −6.80878 | + | 6.80878i | −0.691327 | + | 0.691327i | −0.962524 | − | 0.271197i | \(-0.912580\pi\) |
0.271197 | + | 0.962524i | \(0.412580\pi\) | |||||||
\(98\) | −1.12979 | − | 9.83481i | −0.114126 | − | 0.993466i | ||||
\(99\) | 18.4438 | − | 9.85843i | 1.85367 | − | 0.990810i | ||||
\(100\) | 17.0540 | − | 18.4796i | 1.70540 | − | 1.84796i | ||||
\(101\) | 2.09741 | − | 0.346284i | 0.208700 | − | 0.0344565i | −0.0576319 | − | 0.998338i | \(-0.518355\pi\) |
0.266332 | + | 0.963881i | \(0.414188\pi\) | |||||||
\(102\) | −11.0412 | + | 7.70205i | −1.09324 | + | 0.762617i | ||||
\(103\) | 1.44782 | + | 4.26513i | 0.142658 | + | 0.420256i | 0.994650 | − | 0.103298i | \(-0.0329394\pi\) |
−0.851993 | + | 0.523553i | \(0.824606\pi\) | |||||||
\(104\) | −1.86188 | + | 0.112121i | −0.182572 | + | 0.0109943i | ||||
\(105\) | −11.5448 | + | 33.7960i | −1.12665 | + | 3.29816i | ||||
\(106\) | 10.3397 | − | 6.24932i | 1.00428 | − | 0.606987i | ||||
\(107\) | −1.52537 | + | 1.62862i | −0.147463 | + | 0.157444i | −0.799338 | − | 0.600882i | \(-0.794816\pi\) |
0.651875 | + | 0.758327i | \(0.273983\pi\) | |||||||
\(108\) | 22.1931 | − | 17.2908i | 2.13553 | − | 1.66381i | ||||
\(109\) | 5.28606 | − | 1.98953i | 0.506313 | − | 0.190563i | −0.0859624 | − | 0.996298i | \(-0.527397\pi\) |
0.592275 | + | 0.805736i | \(0.298230\pi\) | |||||||
\(110\) | 13.8706 | + | 9.52456i | 1.32251 | + | 0.908131i | ||||
\(111\) | 17.0696 | − | 7.07044i | 1.62017 | − | 0.671096i | ||||
\(112\) | −10.5821 | + | 0.135685i | −0.999918 | + | 0.0128211i | ||||
\(113\) | 13.2529 | + | 5.48952i | 1.24673 | + | 0.516411i | 0.905810 | − | 0.423684i | \(-0.139263\pi\) |
0.340915 | + | 0.940094i | \(0.389263\pi\) | |||||||
\(114\) | −1.64810 | − | 2.53556i | −0.154359 | − | 0.237477i | ||||
\(115\) | −12.8993 | + | 28.4694i | −1.20287 | + | 2.65479i | ||||
\(116\) | 0.846880 | + | 1.68585i | 0.0786308 | + | 0.156528i | ||||
\(117\) | −4.85670 | + | 0.158992i | −0.449002 | + | 0.0146988i | ||||
\(118\) | −3.96324 | − | 2.91675i | −0.364845 | − | 0.268509i | ||||
\(119\) | 7.80373 | + | 0.526565i | 0.715367 | + | 0.0482701i | ||||
\(120\) | 34.6921 | + | 15.9411i | 3.16694 | + | 1.45522i | ||||
\(121\) | 1.30244 | − | 2.64108i | 0.118403 | − | 0.240098i | ||||
\(122\) | −0.887474 | − | 4.03690i | −0.0803481 | − | 0.365483i | ||||
\(123\) | 1.93128 | − | 2.69510i | 0.174138 | − | 0.243009i | ||||
\(124\) | 17.2191 | − | 4.14901i | 1.54632 | − | 0.372592i | ||||
\(125\) | 30.3797 | + | 9.21559i | 2.71725 | + | 0.824268i | ||||
\(126\) | −27.5677 | − | 0.402520i | −2.45592 | − | 0.0358594i | ||||
\(127\) | − | 15.7609i | − | 1.39856i | −0.714850 | − | 0.699278i | \(-0.753505\pi\) | ||
0.714850 | − | 0.699278i | \(-0.246495\pi\) | |||||||
\(128\) | −1.00258 | + | 11.2692i | −0.0886163 | + | 0.996066i | ||||
\(129\) | −14.4572 | − | 8.34687i | −1.27289 | − | 0.734901i | ||||
\(130\) | −1.91172 | − | 3.41031i | −0.167669 | − | 0.299104i | ||||
\(131\) | −11.1462 | + | 2.59893i | −0.973849 | + | 0.227070i | −0.683580 | − | 0.729875i | \(-0.739578\pi\) |
−0.290269 | + | 0.956945i | \(0.593745\pi\) | |||||||
\(132\) | −5.17672 | + | 17.5296i | −0.450575 | + | 1.52575i | ||||
\(133\) | −0.175581 | + | 1.74821i | −0.0152248 | + | 0.151589i | ||||
\(134\) | −1.71423 | + | 1.56524i | −0.148087 | + | 0.135216i | ||||
\(135\) | 52.8874 | + | 26.0812i | 4.55182 | + | 2.24471i | ||||
\(136\) | 1.40578 | − | 8.24249i | 0.120545 | − | 0.706788i | ||||
\(137\) | 7.49542 | − | 3.69633i | 0.640377 | − | 0.315799i | −0.0929546 | − | 0.995670i | \(-0.529631\pi\) |
0.733331 | + | 0.679872i | \(0.237964\pi\) | |||||||
\(138\) | −33.7444 | − | 3.75599i | −2.87251 | − | 0.319731i | ||||
\(139\) | −6.79317 | − | 3.63102i | −0.576189 | − | 0.307979i | 0.157441 | − | 0.987528i | \(-0.449676\pi\) |
−0.733630 | + | 0.679549i | \(0.762176\pi\) | |||||||
\(140\) | −9.91916 | − | 19.8408i | −0.838322 | − | 1.67685i | ||||
\(141\) | −1.61354 | + | 0.158920i | −0.135885 | + | 0.0133835i | ||||
\(142\) | −13.7090 | + | 8.91083i | −1.15044 | + | 0.747780i | ||||
\(143\) | 1.48490 | − | 1.13941i | 0.124174 | − | 0.0952819i | ||||
\(144\) | −3.41586 | + | 29.2756i | −0.284655 | + | 2.43963i | ||||
\(145\) | −2.40727 | + | 3.13721i | −0.199913 | + | 0.260531i | ||||
\(146\) | −2.89460 | − | 6.06219i | −0.239558 | − | 0.501710i | ||||
\(147\) | 17.3686 | + | 14.3663i | 1.43254 | + | 1.18491i | ||||
\(148\) | −4.31326 | + | 10.6342i | −0.354548 | + | 0.874127i | ||||
\(149\) | −1.99061 | − | 1.86441i | −0.163077 | − | 0.152738i | 0.597775 | − | 0.801664i | \(-0.296052\pi\) |
−0.760852 | + | 0.648926i | \(0.775218\pi\) | |||||||
\(150\) | 1.14783 | + | 57.2440i | 0.0937198 | + | 4.67395i | ||||
\(151\) | 1.06649 | − | 3.14178i | 0.0867897 | − | 0.255674i | −0.894866 | − | 0.446334i | \(-0.852729\pi\) |
0.981656 | + | 0.190660i | \(0.0610627\pi\) | |||||||
\(152\) | 1.84026 | + | 0.376207i | 0.149265 | + | 0.0305144i | ||||
\(153\) | 4.24969 | − | 21.3647i | 0.343567 | − | 1.72723i | ||||
\(154\) | 8.72139 | − | 6.05893i | 0.702790 | − | 0.488242i | ||||
\(155\) | 23.5515 | + | 28.6975i | 1.89170 | + | 2.30504i | ||||
\(156\) | 2.88028 | − | 3.12104i | 0.230607 | − | 0.249884i | ||||
\(157\) | 0.0447795 | − | 1.36787i | 0.00357379 | − | 0.109168i | −0.996186 | − | 0.0872542i | \(-0.972191\pi\) |
0.999760 | − | 0.0219137i | \(-0.00697592\pi\) | |||||||
\(158\) | 21.9583 | − | 2.60815i | 1.74691 | − | 0.207493i | ||||
\(159\) | −7.11972 | + | 26.5712i | −0.564631 | + | 2.10723i | ||||
\(160\) | −22.1765 | + | 8.39906i | −1.75320 | + | 0.664004i | ||||
\(161\) | 13.9219 | + | 13.9756i | 1.09720 | + | 1.10143i | ||||
\(162\) | −4.69248 | + | 32.4580i | −0.368676 | + | 2.55014i | ||||
\(163\) | −9.17469 | + | 14.7541i | −0.718617 | + | 1.15563i | 0.263005 | + | 0.964794i | \(0.415286\pi\) |
−0.981622 | + | 0.190836i | \(0.938880\pi\) | |||||||
\(164\) | 0.350436 | + | 2.02935i | 0.0273644 | + | 0.158466i | ||||
\(165\) | −37.7992 | + | 6.24068i | −2.94266 | + | 0.485836i | ||||
\(166\) | −17.5272 | − | 14.7600i | −1.36038 | − | 1.14560i | ||||
\(167\) | 3.15685 | − | 15.8706i | 0.244284 | − | 1.22810i | −0.642634 | − | 0.766174i | \(-0.722158\pi\) |
0.886918 | − | 0.461927i | \(-0.152842\pi\) | |||||||
\(168\) | 17.1615 | − | 16.9152i | 1.32404 | − | 1.30503i | ||||
\(169\) | 12.3237 | − | 2.45133i | 0.947975 | − | 0.188564i | ||||
\(170\) | 16.8343 | − | 4.87449i | 1.29113 | − | 0.373856i | ||||
\(171\) | 4.76553 | + | 1.11116i | 0.364429 | + | 0.0849729i | ||||
\(172\) | 9.99535 | − | 2.75739i | 0.762138 | − | 0.210249i | ||||
\(173\) | −3.42817 | + | 20.7641i | −0.260639 | + | 1.57867i | 0.461640 | + | 0.887067i | \(0.347261\pi\) |
−0.722280 | + | 0.691601i | \(0.756906\pi\) | |||||||
\(174\) | −4.04983 | − | 1.43223i | −0.307017 | − | 0.108577i | ||||
\(175\) | 20.3014 | − | 26.3522i | 1.53464 | − | 1.99204i | ||||
\(176\) | −5.49867 | − | 9.93219i | −0.414478 | − | 0.748667i | ||||
\(177\) | 11.1084 | − | 1.46245i | 0.834959 | − | 0.109924i | ||||
\(178\) | −10.5450 | + | 3.43110i | −0.790381 | + | 0.257172i | ||||
\(179\) | 3.90881 | − | 8.62693i | 0.292158 | − | 0.644807i | −0.705818 | − | 0.708393i | \(-0.749420\pi\) |
0.997976 | + | 0.0635860i | \(0.0202537\pi\) | |||||||
\(180\) | −58.3518 | + | 20.2888i | −4.34929 | + | 1.51224i | ||||
\(181\) | −11.5326 | − | 6.16430i | −0.857211 | − | 0.458189i | −0.0166216 | − | 0.999862i | \(-0.505291\pi\) |
−0.840589 | + | 0.541673i | \(0.817791\pi\) | |||||||
\(182\) | −2.44015 | + | 0.366357i | −0.180876 | + | 0.0271562i | ||||
\(183\) | 7.82505 | + | 5.22853i | 0.578444 | + | 0.386504i | ||||
\(184\) | 16.3724 | − | 13.2918i | 1.20699 | − | 0.979883i | ||||
\(185\) | −24.0017 | + | 1.57315i | −1.76464 | + | 0.115660i | ||||
\(186\) | −21.7284 | + | 33.9741i | −1.59321 | + | 2.49110i | ||||
\(187\) | 3.46275 | + | 7.64244i | 0.253221 | + | 0.558871i | ||||
\(188\) | 0.633104 | − | 0.783143i | 0.0461739 | − | 0.0571166i | ||||
\(189\) | 27.2125 | − | 25.3892i | 1.97942 | − | 1.84679i | ||||
\(190\) | 0.970682 | + | 3.81545i | 0.0704206 | + | 0.276802i | ||||
\(191\) | 3.28104 | + | 5.68293i | 0.237408 | + | 0.411203i | 0.959970 | − | 0.280104i | \(-0.0903689\pi\) |
−0.722562 | + | 0.691306i | \(0.757036\pi\) | |||||||
\(192\) | −16.1300 | − | 20.0851i | −1.16408 | − | 1.44952i | ||||
\(193\) | −12.0501 | − | 6.95713i | −0.867385 | − | 0.500785i | −0.000906805 | − | 1.00000i | \(-0.500289\pi\) |
−0.866478 | + | 0.499214i | \(0.833622\pi\) | |||||||
\(194\) | 9.50624 | + | 9.75035i | 0.682508 | + | 0.700034i | ||||
\(195\) | 8.51845 | + | 2.58404i | 0.610019 | + | 0.185047i | ||||
\(196\) | −13.9277 | + | 1.42134i | −0.994833 | + | 0.101524i | ||||
\(197\) | −13.5103 | − | 1.33064i | −0.962566 | − | 0.0948045i | −0.395490 | − | 0.918470i | \(-0.629425\pi\) |
−0.567076 | + | 0.823666i | \(0.691925\pi\) | |||||||
\(198\) | −13.6102 | − | 26.2581i | −0.967233 | − | 1.86608i | ||||
\(199\) | 0.00641925 | + | 0.0979389i | 0.000455049 | + | 0.00694270i | 0.998080 | − | 0.0619314i | \(-0.0197260\pi\) |
−0.997625 | + | 0.0688741i | \(0.978059\pi\) | |||||||
\(200\) | −25.8262 | − | 24.4473i | −1.82619 | − | 1.72869i | ||||
\(201\) | 0.345683 | − | 5.27411i | 0.0243826 | − | 0.372007i | ||||
\(202\) | −0.452081 | − | 2.97215i | −0.0318083 | − | 0.209120i | ||||
\(203\) | 1.31385 | + | 2.12193i | 0.0922140 | + | 0.148930i | ||||
\(204\) | 10.6935 | + | 15.7514i | 0.748698 | + | 1.10282i | ||||
\(205\) | −3.50866 | + | 2.51427i | −0.245055 | + | 0.175604i | ||||
\(206\) | 6.05727 | − | 1.97090i | 0.422030 | − | 0.137319i | ||||
\(207\) | 43.5863 | − | 33.4449i | 3.02946 | − | 2.32458i | ||||
\(208\) | 0.125173 | + | 2.63489i | 0.00867920 | + | 0.182697i | ||||
\(209\) | −1.74132 | + | 0.721279i | −0.120450 | + | 0.0498919i | ||||
\(210\) | 47.5840 | + | 16.9313i | 3.28361 | + | 1.16837i | ||||
\(211\) | 2.87050 | + | 2.35576i | 0.197614 | + | 0.162177i | 0.727996 | − | 0.685581i | \(-0.240452\pi\) |
−0.530383 | + | 0.847758i | \(0.677952\pi\) | |||||||
\(212\) | −8.65181 | − | 14.7334i | −0.594209 | − | 1.01190i | ||||
\(213\) | 8.45373 | − | 36.2561i | 0.579240 | − | 2.48423i | ||||
\(214\) | 2.27568 | + | 2.18621i | 0.155562 | + | 0.149447i | ||||
\(215\) | 14.3295 | + | 16.3397i | 0.977267 | + | 1.11436i | ||||
\(216\) | −24.0531 | − | 31.6932i | −1.63660 | − | 2.15645i | ||||
\(217\) | 22.2016 | − | 7.48883i | 1.50714 | − | 0.508375i | ||||
\(218\) | −2.71864 | − | 7.51068i | −0.184129 | − | 0.508688i | ||||
\(219\) | 14.3154 | + | 5.38793i | 0.967344 | + | 0.364083i | ||||
\(220\) | 13.7173 | − | 19.4437i | 0.924822 | − | 1.31089i | ||||
\(221\) | 0.0637871 | − | 1.94849i | 0.00429079 | − | 0.131070i | ||||
\(222\) | −9.69232 | − | 24.2648i | −0.650506 | − | 1.62855i | ||||
\(223\) | −14.3816 | + | 14.3816i | −0.963061 | + | 0.963061i | −0.999342 | − | 0.0362809i | \(-0.988449\pi\) |
0.0362809 | + | 0.999342i | \(0.488449\pi\) | |||||||
\(224\) | 0.00217469 | + | 14.9666i | 0.000145302 | + | 1.00000i | ||||
\(225\) | −65.5104 | − | 65.5104i | −4.36736 | − | 4.36736i | ||||
\(226\) | 8.00030 | − | 18.6425i | 0.532172 | − | 1.24008i | ||||
\(227\) | −18.7360 | − | 0.613352i | −1.24355 | − | 0.0407096i | −0.596158 | − | 0.802867i | \(-0.703307\pi\) |
−0.647392 | + | 0.762157i | \(0.724140\pi\) | |||||||
\(228\) | −3.61507 | + | 2.28513i | −0.239414 | + | 0.151336i | ||||
\(229\) | 2.33313 | − | 6.19899i | 0.154178 | − | 0.409641i | −0.836130 | − | 0.548532i | \(-0.815187\pi\) |
0.990308 | + | 0.138891i | \(0.0443537\pi\) | |||||||
\(230\) | 40.0274 | + | 18.7513i | 2.63933 | + | 1.23642i | ||||
\(231\) | −4.76280 | + | 23.7058i | −0.313370 | + | 1.55973i | ||||
\(232\) | 2.39915 | − | 1.16735i | 0.157512 | − | 0.0766404i | ||||
\(233\) | 7.03109 | − | 6.16610i | 0.460622 | − | 0.403955i | −0.397337 | − | 0.917673i | \(-0.630066\pi\) |
0.857959 | + | 0.513718i | \(0.171732\pi\) | |||||||
\(234\) | 0.137768 | + | 6.87072i | 0.00900619 | + | 0.449153i | ||||
\(235\) | 2.05564 | + | 0.479307i | 0.134095 | + | 0.0312665i | ||||
\(236\) | −4.19562 | + | 5.55212i | −0.273112 | + | 0.361413i | ||||
\(237\) | −31.9406 | + | 38.9197i | −2.07476 | + | 2.52811i | ||||
\(238\) | 0.884507 | − | 11.0258i | 0.0573340 | − | 0.714698i | ||||
\(239\) | 3.95353 | + | 9.54467i | 0.255733 | + | 0.617394i | 0.998647 | − | 0.0519925i | \(-0.0165572\pi\) |
−0.742915 | + | 0.669386i | \(0.766557\pi\) | |||||||
\(240\) | 23.1642 | − | 48.7724i | 1.49524 | − | 3.14824i | ||||
\(241\) | −3.60445 | − | 4.69740i | −0.232183 | − | 0.302586i | 0.662702 | − | 0.748883i | \(-0.269409\pi\) |
−0.894885 | + | 0.446296i | \(0.852743\pi\) | |||||||
\(242\) | −3.71140 | − | 1.88912i | −0.238578 | − | 0.121437i | ||||
\(243\) | −18.9139 | − | 26.3944i | −1.21333 | − | 1.69320i | ||||
\(244\) | −5.72448 | + | 1.18261i | −0.366473 | + | 0.0757089i | ||||
\(245\) | −15.3997 | − | 24.9786i | −0.983853 | − | 1.59583i | ||||
\(246\) | −3.77652 | − | 2.77934i | −0.240782 | − | 0.177204i | ||||
\(247\) | 0.437004 | + | 0.0286428i | 0.0278059 | + | 0.00182250i | ||||
\(248\) | −5.55845 | − | 24.4239i | −0.352962 | − | 1.55092i | ||||
\(249\) | 52.0617 | − | 3.41230i | 3.29927 | − | 0.216246i | ||||
\(250\) | 13.5764 | − | 42.7948i | 0.858645 | − | 2.70658i | ||||
\(251\) | −0.646029 | + | 6.55924i | −0.0407770 | + | 0.414016i | 0.953028 | + | 0.302881i | \(0.0979485\pi\) |
−0.993805 | + | 0.111135i | \(0.964552\pi\) | |||||||
\(252\) | −1.06339 | + | 38.9762i | −0.0669872 | + | 2.45527i | ||||
\(253\) | −6.14277 | + | 20.2500i | −0.386193 | + | 1.27311i | ||||
\(254\) | −22.2875 | − | 0.282534i | −1.39844 | − | 0.0177278i | ||||
\(255\) | −19.9523 | + | 34.5584i | −1.24946 | + | 2.16413i | ||||
\(256\) | 15.9178 | + | 1.61976i | 0.994863 | + | 0.101235i | ||||
\(257\) | −14.4678 | + | 8.35301i | −0.902479 | + | 0.521046i | −0.878004 | − | 0.478654i | \(-0.841125\pi\) |
−0.0244751 | + | 0.999700i | \(0.507791\pi\) | |||||||
\(258\) | −12.0625 | + | 20.2943i | −0.750977 | + | 1.26347i | ||||
\(259\) | −4.43472 | + | 14.5187i | −0.275560 | + | 0.902147i | ||||
\(260\) | −4.85679 | + | 2.64223i | −0.301206 | + | 0.163864i | ||||
\(261\) | 6.33123 | − | 2.86864i | 0.391894 | − | 0.177565i | ||||
\(262\) | 3.47534 | + | 15.8084i | 0.214707 | + | 0.976649i | ||||
\(263\) | 0.490072 | + | 7.47705i | 0.0302191 | + | 0.461055i | 0.985975 | + | 0.166893i | \(0.0533736\pi\) |
−0.955756 | + | 0.294161i | \(0.904960\pi\) | |||||||
\(264\) | 24.6958 | + | 7.63464i | 1.51992 | + | 0.469879i | ||||
\(265\) | 19.8962 | − | 29.7768i | 1.22222 | − | 1.82918i | ||||
\(266\) | 2.46900 | + | 0.279628i | 0.151384 | + | 0.0171451i | ||||
\(267\) | 11.9023 | − | 22.2675i | 0.728406 | − | 1.36275i | ||||
\(268\) | 2.18267 | + | 2.45215i | 0.133328 | + | 0.149789i | ||||
\(269\) | −4.70787 | − | 2.13311i | −0.287044 | − | 0.130058i | 0.264030 | − | 0.964515i | \(-0.414948\pi\) |
−0.551074 | + | 0.834457i | \(0.685782\pi\) | |||||||
\(270\) | 37.8294 | − | 74.3205i | 2.30223 | − | 4.52300i | ||||
\(271\) | −3.19323 | − | 24.2550i | −0.193975 | − | 1.47339i | −0.760498 | − | 0.649340i | \(-0.775045\pi\) |
0.566523 | − | 0.824046i | \(-0.308288\pi\) | |||||||
\(272\) | −11.6305 | − | 2.13568i | −0.705203 | − | 0.129494i | ||||
\(273\) | 3.42874 | − | 4.45066i | 0.207517 | − | 0.269366i | ||||
\(274\) | −5.09262 | − | 10.6655i | −0.307656 | − | 0.644328i | ||||
\(275\) | 35.2081 | + | 5.81288i | 2.12313 | + | 0.350530i | ||||
\(276\) | −5.91626 | + | 47.6506i | −0.356117 | + | 2.86823i | ||||
\(277\) | −5.36681 | + | 23.0170i | −0.322460 | + | 1.38296i | 0.524550 | + | 0.851380i | \(0.324234\pi\) |
−0.847010 | + | 0.531577i | \(0.821600\pi\) | |||||||
\(278\) | −5.25641 | + | 9.54113i | −0.315258 | + | 0.572239i | ||||
\(279\) | −12.7307 | − | 64.0016i | −0.762168 | − | 3.83168i | ||||
\(280\) | −28.2347 | + | 13.6710i | −1.68735 | + | 0.817000i | ||||
\(281\) | 4.75839 | + | 0.946503i | 0.283862 | + | 0.0564637i | 0.334968 | − | 0.942230i | \(-0.391275\pi\) |
−0.0511058 | + | 0.998693i | \(0.516275\pi\) | |||||||
\(282\) | 0.195804 | + | 2.28456i | 0.0116600 | + | 0.136044i | ||||
\(283\) | −4.11321 | − | 24.9134i | −0.244505 | − | 1.48095i | −0.774299 | − | 0.632819i | \(-0.781898\pi\) |
0.529794 | − | 0.848126i | \(-0.322269\pi\) | |||||||
\(284\) | 12.3550 | + | 19.5457i | 0.733137 | + | 1.15982i | ||||
\(285\) | −7.61236 | − | 4.73367i | −0.450917 | − | 0.280398i | ||||
\(286\) | −1.58461 | − | 2.12023i | −0.0937002 | − | 0.125372i | ||||
\(287\) | 0.700039 | + | 2.63283i | 0.0413220 | + | 0.155411i | ||||
\(288\) | 41.3374 | + | 5.35517i | 2.43583 | + | 0.315556i | ||||
\(289\) | −7.97917 | − | 2.13801i | −0.469363 | − | 0.125765i | ||||
\(290\) | 4.39318 | + | 3.46035i | 0.257976 | + | 0.203199i | ||||
\(291\) | −30.9892 | − | 1.01448i | −1.81662 | − | 0.0594700i | ||||
\(292\) | −8.62443 | + | 3.98457i | −0.504706 | + | 0.233180i | ||||
\(293\) | −24.5422 | + | 20.1413i | −1.43377 | + | 1.17667i | −0.479572 | + | 0.877502i | \(0.659208\pi\) |
−0.954201 | + | 0.299165i | \(0.903292\pi\) | |||||||
\(294\) | 20.6267 | − | 24.3034i | 1.20297 | − | 1.41741i | ||||
\(295\) | −14.3061 | − | 2.84567i | −0.832936 | − | 0.165681i | ||||
\(296\) | 14.9605 | + | 6.29001i | 0.869563 | + | 0.365600i | ||||
\(297\) | 37.8054 | + | 12.8332i | 2.19369 | + | 0.744658i | ||||
\(298\) | −2.67214 | + | 2.78150i | −0.154793 | + | 0.161128i | ||||
\(299\) | 3.36117 | − | 3.58868i | 0.194381 | − | 0.207539i | ||||
\(300\) | 80.9693 | − | 0.596975i | 4.67476 | − | 0.0344664i | ||||
\(301\) | 12.8466 | − | 4.80693i | 0.740468 | − | 0.277067i | ||||
\(302\) | −4.42367 | − | 1.56444i | −0.254554 | − | 0.0900236i | ||||
\(303\) | 5.43061 | + | 4.16705i | 0.311980 | + | 0.239391i | ||||
\(304\) | 0.564983 | − | 2.59557i | 0.0324040 | − | 0.148866i | ||||
\(305\) | −7.45853 | − | 9.72014i | −0.427074 | − | 0.556574i | ||||
\(306\) | −30.1356 | − | 6.39248i | −1.72274 | − | 0.365434i | ||||
\(307\) | 0.139829 | + | 1.41971i | 0.00798045 | + | 0.0810269i | 0.998350 | − | 0.0574224i | \(-0.0182882\pi\) |
−0.990370 | + | 0.138449i | \(0.955788\pi\) | |||||||
\(308\) | −8.41158 | − | 12.4415i | −0.479294 | − | 0.708922i | ||||
\(309\) | −6.83691 | + | 12.7910i | −0.388938 | + | 0.727652i | ||||
\(310\) | 41.0034 | − | 32.7897i | 2.32884 | − | 1.86233i | ||||
\(311\) | −4.26943 | − | 8.65755i | −0.242097 | − | 0.490924i | 0.741581 | − | 0.670864i | \(-0.234076\pi\) |
−0.983678 | + | 0.179939i | \(0.942410\pi\) | |||||||
\(312\) | −4.36184 | − | 4.12895i | −0.246940 | − | 0.233756i | ||||
\(313\) | 3.82465 | − | 7.75561i | 0.216182 | − | 0.438373i | −0.761586 | − | 0.648064i | \(-0.775579\pi\) |
0.977768 | + | 0.209691i | \(0.0672457\pi\) | |||||||
\(314\) | −1.93350 | − | 0.0878434i | −0.109114 | − | 0.00495729i | ||||
\(315\) | −74.5052 | + | 33.5852i | −4.19789 | + | 1.89231i | ||||
\(316\) | −3.29455 | − | 31.0979i | −0.185333 | − | 1.74940i | ||||
\(317\) | −0.614144 | − | 2.63392i | −0.0344938 | − | 0.147936i | 0.953817 | − | 0.300388i | \(-0.0971162\pi\) |
−0.988311 | + | 0.152452i | \(0.951283\pi\) | |||||||
\(318\) | 37.4467 | + | 10.5443i | 2.09990 | + | 0.591296i | ||||
\(319\) | −1.33863 | + | 2.31858i | −0.0749491 | + | 0.129816i | ||||
\(320\) | 11.4796 | + | 31.5103i | 0.641728 | + | 1.76148i | ||||
\(321\) | −7.18515 | −0.401036 | ||||||||
\(322\) | 20.0124 | − | 19.4364i | 1.11525 | − | 1.08315i | ||||
\(323\) | −0.569887 | + | 1.87866i | −0.0317093 | + | 0.104532i | ||||
\(324\) | 45.8148 | + | 7.21748i | 2.54527 | + | 0.400971i | ||||
\(325\) | −6.73975 | − | 4.82964i | −0.373854 | − | 0.267900i | ||||
\(326\) | 20.6993 | + | 13.2384i | 1.14643 | + | 0.733208i | ||||
\(327\) | 16.3113 | + | 8.04387i | 0.902020 | + | 0.444827i | ||||
\(328\) | 2.87599 | − | 0.459173i | 0.158800 | − | 0.0253536i | ||||
\(329\) | 0.742256 | − | 1.10625i | 0.0409219 | − | 0.0609896i | ||||
\(330\) | 8.14734 | + | 53.5637i | 0.448496 | + | 2.94859i | ||||
\(331\) | 0.572181 | + | 17.4783i | 0.0314499 | + | 0.960695i | 0.892193 | + | 0.451655i | \(0.149166\pi\) |
−0.860743 | + | 0.509040i | \(0.830000\pi\) | |||||||
\(332\) | −21.1863 | + | 24.5207i | −1.16275 | + | 1.34575i | ||||
\(333\) | 38.5109 | + | 17.4490i | 2.11038 | + | 0.956202i | ||||
\(334\) | −22.3860 | − | 4.74860i | −1.22491 | − | 0.259832i | ||||
\(335\) | −2.63321 | + | 6.35712i | −0.143867 | + | 0.347327i | ||||
\(336\) | −23.6121 | − | 24.5713i | −1.28815 | − | 1.34047i | ||||
\(337\) | −0.384571 | − | 0.928436i | −0.0209489 | − | 0.0505751i | 0.913059 | − | 0.407828i | \(-0.133714\pi\) |
−0.934008 | + | 0.357252i | \(0.883714\pi\) | |||||||
\(338\) | −3.24551 | − | 17.4708i | −0.176532 | − | 0.950289i | ||||
\(339\) | 16.2706 | + | 43.2301i | 0.883700 | + | 2.34794i | ||||
\(340\) | −6.59124 | − | 23.8928i | −0.357460 | − | 1.29577i | ||||
\(341\) | 18.3449 | + | 17.1819i | 0.993434 | + | 0.930452i | ||||
\(342\) | 1.65673 | − | 6.71901i | 0.0895855 | − | 0.363323i | ||||
\(343\) | −18.1850 | + | 3.50822i | −0.981895 | + | 0.189426i | ||||
\(344\) | −3.72004 | − | 14.1839i | −0.200571 | − | 0.764742i | ||||
\(345\) | −95.3021 | + | 32.3507i | −5.13089 | + | 1.74170i | ||||
\(346\) | 29.3011 | + | 5.22000i | 1.57524 | + | 0.280629i | ||||
\(347\) | −3.08132 | − | 18.6633i | −0.165414 | − | 1.00190i | −0.932716 | − | 0.360611i | \(-0.882568\pi\) |
0.767302 | − | 0.641285i | \(-0.221599\pi\) | |||||||
\(348\) | −2.09792 | + | 5.70119i | −0.112460 | + | 0.305616i | ||||
\(349\) | −5.03052 | − | 9.41145i | −0.269278 | − | 0.503783i | 0.710545 | − | 0.703652i | \(-0.248449\pi\) |
−0.979823 | + | 0.199869i | \(0.935949\pi\) | |||||||
\(350\) | −36.9007 | − | 29.1806i | −1.97242 | − | 1.55977i | ||||
\(351\) | −6.55954 | − | 6.55954i | −0.350123 | − | 0.350123i | ||||
\(352\) | −14.1437 | + | 7.59763i | −0.753861 | + | 0.404955i | ||||
\(353\) | 2.38714 | + | 8.90891i | 0.127054 | + | 0.474174i | 0.999905 | − | 0.0138147i | \(-0.00439751\pi\) |
−0.872850 | + | 0.487988i | \(0.837731\pi\) | |||||||
\(354\) | −1.86892 | − | 15.7346i | −0.0993319 | − | 0.836286i | ||||
\(355\) | −25.5936 | + | 41.1579i | −1.35837 | + | 2.18443i | ||||
\(356\) | 4.66289 | + | 14.9732i | 0.247133 | + | 0.793577i | ||||
\(357\) | 15.9399 | + | 19.4992i | 0.843630 | + | 1.03201i | ||||
\(358\) | −12.1293 | − | 5.68210i | −0.641052 | − | 0.300308i | ||||
\(359\) | −21.5894 | + | 7.32862i | −1.13945 | + | 0.386790i | −0.826475 | − | 0.562973i | \(-0.809658\pi\) |
−0.312971 | + | 0.949763i | \(0.601324\pi\) | |||||||
\(360\) | 27.6443 | + | 82.8790i | 1.45698 | + | 4.36811i | ||||
\(361\) | 17.5741 | + | 5.96559i | 0.924951 | + | 0.313979i | ||||
\(362\) | −8.92367 | + | 16.1977i | −0.469018 | + | 0.851334i | ||||
\(363\) | 9.07391 | − | 2.75254i | 0.476257 | − | 0.144471i | ||||
\(364\) | 0.474323 | + | 3.45718i | 0.0248613 | + | 0.181205i | ||||
\(365\) | −15.3929 | − | 12.6327i | −0.805704 | − | 0.661224i | ||||
\(366\) | 7.53394 | − | 10.9717i | 0.393805 | − | 0.573499i | ||||
\(367\) | 3.82646 | − | 29.0649i | 0.199740 | − | 1.51717i | −0.538495 | − | 0.842629i | \(-0.681007\pi\) |
0.738235 | − | 0.674544i | \(-0.235660\pi\) | |||||||
\(368\) | −18.5024 | − | 23.3904i | −0.964504 | − | 1.21931i | ||||
\(369\) | 7.52243 | − | 0.990347i | 0.391602 | − | 0.0515554i | ||||
\(370\) | 1.79433 | + | 33.9689i | 0.0932830 | + | 1.76596i | ||||
\(371\) | −13.1301 | − | 18.3977i | −0.681680 | − | 0.955160i | ||||
\(372\) | 47.6533 | + | 31.3352i | 2.47071 | + | 1.62465i | ||||
\(373\) | −0.676109 | − | 20.6530i | −0.0350076 | − | 1.06937i | −0.861921 | − | 0.507042i | \(-0.830739\pi\) |
0.826914 | − | 0.562329i | \(-0.190095\pi\) | |||||||
\(374\) | 10.8693 | − | 4.75967i | 0.562036 | − | 0.246117i | ||||
\(375\) | 45.2131 | + | 91.6831i | 2.33479 | + | 4.73449i | ||||
\(376\) | −1.09609 | − | 0.909311i | −0.0565267 | − | 0.0468942i | ||||
\(377\) | 0.517239 | − | 0.345608i | 0.0266392 | − | 0.0177997i | ||||
\(378\) | −35.4150 | − | 38.9364i | −1.82155 | − | 2.00267i | ||||
\(379\) | 8.69615 | + | 0.856496i | 0.446691 | + | 0.0439953i | 0.318863 | − | 0.947801i | \(-0.396699\pi\) |
0.127829 | + | 0.991796i | \(0.459199\pi\) | |||||||
\(380\) | 5.41283 | − | 1.30424i | 0.277672 | − | 0.0669063i | ||||
\(381\) | 37.0410 | − | 34.6927i | 1.89767 | − | 1.77736i | ||||
\(382\) | 8.09505 | − | 4.53785i | 0.414179 | − | 0.232177i | ||||
\(383\) | −7.94938 | − | 13.7687i | −0.406194 | − | 0.703549i | 0.588265 | − | 0.808668i | \(-0.299811\pi\) |
−0.994460 | + | 0.105119i | \(0.966478\pi\) | |||||||
\(384\) | −28.6915 | + | 22.4493i | −1.46416 | + | 1.14561i | ||||
\(385\) | 15.7916 | − | 27.2308i | 0.804815 | − | 1.38781i | ||||
\(386\) | −10.0541 | + | 16.9153i | −0.511740 | + | 0.860968i | ||||
\(387\) | −8.67458 | − | 37.2033i | −0.440954 | − | 1.89115i | ||||
\(388\) | 13.9584 | − | 13.2680i | 0.708629 | − | 0.673580i | ||||
\(389\) | −15.1546 | − | 10.8596i | −0.768368 | − | 0.550605i | 0.129128 | − | 0.991628i | \(-0.458782\pi\) |
−0.897496 | + | 0.441023i | \(0.854616\pi\) | |||||||
\(390\) | 3.80680 | − | 11.9996i | 0.192765 | − | 0.607624i | ||||
\(391\) | 12.2456 | + | 18.3268i | 0.619286 | + | 0.926827i | ||||
\(392\) | 1.76024 | + | 19.7206i | 0.0889058 | + | 0.996040i | ||||
\(393\) | −30.6428 | − | 20.4749i | −1.54573 | − | 1.03282i | ||||
\(394\) | −2.12385 | + | 19.0810i | −0.106998 | + | 0.961287i | ||||
\(395\) | 55.6622 | − | 34.6130i | 2.80067 | − | 1.74157i | ||||
\(396\) | −37.3756 | + | 18.7754i | −1.87820 | + | 0.943502i | ||||
\(397\) | 10.3048 | − | 7.38428i | 0.517181 | − | 0.370607i | −0.293626 | − | 0.955920i | \(-0.594862\pi\) |
0.810807 | + | 0.585314i | \(0.199029\pi\) | |||||||
\(398\) | 0.138610 | − | 0.00732179i | 0.00694791 | − | 0.000367008i | ||||
\(399\) | −4.49510 | + | 3.43549i | −0.225036 | + | 0.171990i | ||||
\(400\) | −35.0339 | + | 36.0826i | −1.75170 | + | 1.80413i | ||||
\(401\) | 8.38840 | + | 6.43665i | 0.418897 | + | 0.321431i | 0.796612 | − | 0.604491i | \(-0.206623\pi\) |
−0.377715 | + | 0.925922i | \(0.623290\pi\) | |||||||
\(402\) | −7.45192 | − | 0.583375i | −0.371668 | − | 0.0290961i | ||||
\(403\) | −2.05721 | − | 5.46587i | −0.102477 | − | 0.272274i | ||||
\(404\) | −4.21102 | + | 0.586008i | −0.209506 | + | 0.0291550i | ||||
\(405\) | 28.2194 | + | 93.0268i | 1.40223 | + | 4.62254i | ||||
\(406\) | 3.02418 | − | 1.81987i | 0.150087 | − | 0.0903188i | ||||
\(407\) | −15.9721 | + | 3.17704i | −0.791705 | + | 0.157480i | ||||
\(408\) | 22.4657 | − | 14.8394i | 1.11222 | − | 0.734659i | ||||
\(409\) | −23.7678 | − | 20.8438i | −1.17524 | − | 1.03066i | −0.998926 | − | 0.0463266i | \(-0.985248\pi\) |
−0.176316 | − | 0.984334i | \(-0.556418\pi\) | |||||||
\(410\) | 3.49253 | + | 5.00666i | 0.172484 | + | 0.247261i | ||||
\(411\) | 25.1858 | + | 9.47927i | 1.24233 | + | 0.467578i | ||||
\(412\) | −2.67847 | − | 8.60092i | −0.131959 | − | 0.423737i | ||||
\(413\) | −4.87645 | + | 7.80843i | −0.239955 | + | 0.384228i | ||||
\(414\) | −46.5132 | − | 62.2349i | −2.28600 | − | 3.05868i | ||||
\(415\) | −65.6082 | − | 17.5797i | −3.22058 | − | 0.862952i | ||||
\(416\) | 3.72824 | − | 0.129774i | 0.182792 | − | 0.00636269i | ||||
\(417\) | −6.41945 | − | 23.9577i | −0.314362 | − | 1.17321i | ||||
\(418\) | 0.988745 | + | 2.47533i | 0.0483611 | + | 0.121072i | ||||
\(419\) | 24.9983 | − | 13.3619i | 1.22125 | − | 0.652770i | 0.270494 | − | 0.962722i | \(-0.412813\pi\) |
0.950752 | + | 0.309952i | \(0.100313\pi\) | |||||||
\(420\) | 24.7956 | − | 66.9851i | 1.20990 | − | 3.26854i | ||||
\(421\) | 24.7150 | + | 30.1154i | 1.20454 | + | 1.46773i | 0.845137 | + | 0.534550i | \(0.179519\pi\) |
0.359401 | + | 0.933183i | \(0.382981\pi\) | |||||||
\(422\) | 3.38274 | − | 4.01695i | 0.164669 | − | 0.195542i | ||||
\(423\) | −2.78949 | − | 2.44632i | −0.135630 | − | 0.118944i | ||||
\(424\) | −20.9896 | + | 11.9704i | −1.01935 | + | 0.581334i | ||||
\(425\) | 27.9453 | − | 24.5073i | 1.35554 | − | 1.18878i | ||||
\(426\) | −51.1182 | − | 12.6044i | −2.47668 | − | 0.610683i | ||||
\(427\) | −7.40403 | + | 2.23044i | −0.358306 | + | 0.107939i | ||||
\(428\) | 3.13232 | − | 3.17885i | 0.151406 | − | 0.153656i | ||||
\(429\) | 5.94635 | + | 0.981746i | 0.287092 | + | 0.0473992i | ||||
\(430\) | 23.3629 | − | 19.9705i | 1.12666 | − | 0.963063i | ||||
\(431\) | −1.72788 | + | 13.1246i | −0.0832293 | + | 0.632189i | 0.898091 | + | 0.439809i | \(0.144954\pi\) |
−0.981321 | + | 0.192380i | \(0.938379\pi\) | |||||||
\(432\) | −45.2485 | + | 33.4453i | −2.17702 | + | 1.60914i | ||||
\(433\) | −4.02788 | − | 1.66840i | −0.193568 | − | 0.0801784i | 0.283794 | − | 0.958885i | \(-0.408407\pi\) |
−0.477362 | + | 0.878707i | \(0.658407\pi\) | |||||||
\(434\) | −10.1920 | − | 31.5296i | −0.489230 | − | 1.51347i | ||||
\(435\) | −12.6718 | + | 1.24807i | −0.607569 | + | 0.0598403i | ||||
\(436\) | −10.6696 | + | 3.70979i | −0.510981 | + | 0.177667i | ||||
\(437\) | −4.20472 | + | 2.61466i | −0.201139 | + | 0.125076i | ||||
\(438\) | 7.87569 | − | 20.1468i | 0.376315 | − | 0.962652i | ||||
\(439\) | −36.8477 | − | 2.41512i | −1.75864 | − | 0.115268i | −0.848404 | − | 0.529349i | \(-0.822436\pi\) |
−0.910240 | + | 0.414082i | \(0.864103\pi\) | |||||||
\(440\) | −27.2494 | − | 19.7462i | −1.29907 | − | 0.941364i | ||||
\(441\) | 3.17540 | + | 51.4820i | 0.151210 | + | 2.45153i | ||||
\(442\) | −2.75422 | − | 0.125131i | −0.131005 | − | 0.00595185i | ||||
\(443\) | −14.4322 | + | 6.53914i | −0.685694 | + | 0.310684i | −0.725203 | − | 0.688535i | \(-0.758254\pi\) |
0.0395086 | + | 0.999219i | \(0.487421\pi\) | |||||||
\(444\) | −34.4866 | + | 13.2709i | −1.63666 | + | 0.629810i | ||||
\(445\) | −23.9911 | + | 22.4701i | −1.13729 | + | 1.06519i | ||||
\(446\) | 20.0792 | + | 20.5948i | 0.950776 | + | 0.975191i | ||||
\(447\) | − | 8.78219i | − | 0.415384i | ||||||
\(448\) | 21.1643 | + | 0.265220i | 0.999921 | + | 0.0125305i | ||||
\(449\) | 4.18667i | 0.197581i | 0.995108 | + | 0.0987905i | \(0.0314974\pi\) | ||||
−0.995108 | + | 0.0987905i | \(0.968503\pi\) | |||||||
\(450\) | −93.8126 | + | 91.4639i | −4.42237 | + | 4.31165i | ||||
\(451\) | −2.13299 | + | 1.99776i | −0.100439 | + | 0.0940710i | ||||
\(452\) | −26.2189 | − | 11.6474i | −1.23323 | − | 0.547848i | ||||
\(453\) | 9.73128 | − | 4.40919i | 0.457215 | − | 0.207162i | ||||
\(454\) | −1.20321 | + | 26.4835i | −0.0564693 | + | 1.24293i | ||||
\(455\) | −6.08932 | + | 4.05183i | −0.285472 | + | 0.189953i | ||||
\(456\) | 3.16659 | + | 5.15304i | 0.148289 | + | 0.241313i | ||||
\(457\) | −1.84050 | − | 0.120633i | −0.0860948 | − | 0.00564295i | 0.0222948 | − | 0.999751i | \(-0.492903\pi\) |
−0.108390 | + | 0.994108i | \(0.534569\pi\) | |||||||
\(458\) | −8.72417 | − | 3.41041i | −0.407653 | − | 0.159358i | ||||
\(459\) | 35.3140 | − | 21.9597i | 1.64832 | − | 1.02499i | ||||
\(460\) | 27.2338 | − | 56.2666i | 1.26978 | − | 2.62344i | ||||
\(461\) | 3.19857 | − | 0.315032i | 0.148972 | − | 0.0146725i | −0.0232560 | − | 0.999730i | \(-0.507403\pi\) |
0.172228 | + | 0.985057i | \(0.444903\pi\) | |||||||
\(462\) | 33.4370 | + | 7.16004i | 1.55563 | + | 0.333115i | ||||
\(463\) | 17.3645 | + | 7.19260i | 0.806995 | + | 0.334268i | 0.747754 | − | 0.663975i | \(-0.231132\pi\) |
0.0592407 | + | 0.998244i | \(0.481132\pi\) | |||||||
\(464\) | −1.60774 | − | 3.41356i | −0.0746376 | − | 0.158471i | ||||
\(465\) | −15.6033 | + | 118.519i | −0.723585 | + | 5.49618i | ||||
\(466\) | −8.59345 | − | 10.0532i | −0.398084 | − | 0.465706i | ||||
\(467\) | 11.7834 | + | 1.94545i | 0.545273 | + | 0.0900249i | 0.429189 | − | 0.903215i | \(-0.358799\pi\) |
0.116083 | + | 0.993239i | \(0.462966\pi\) | |||||||
\(468\) | 9.71835 | − | 0.0716520i | 0.449231 | − | 0.00331211i | ||||
\(469\) | 3.16393 | + | 2.97480i | 0.146097 | + | 0.137363i | ||||
\(470\) | 0.714638 | − | 2.89828i | 0.0329638 | − | 0.133688i | ||||
\(471\) | 3.31331 | − | 2.90570i | 0.152669 | − | 0.133887i | ||||
\(472\) | 7.77605 | + | 6.03256i | 0.357922 | + | 0.277671i | ||||
\(473\) | 11.0627 | + | 9.70168i | 0.508661 | + | 0.446084i | ||||
\(474\) | 54.4638 | + | 45.8648i | 2.50160 | + | 2.10664i | ||||
\(475\) | 5.29695 | + | 6.45436i | 0.243041 | + | 0.296146i | ||||
\(476\) | −15.5758 | − | 1.44843i | −0.713913 | − | 0.0663888i | ||||
\(477\) | −55.5162 | + | 29.6740i | −2.54191 | + | 1.35868i | ||||
\(478\) | 13.5680 | − | 5.41959i | 0.620586 | − | 0.247886i | ||||
\(479\) | 8.05718 | + | 30.0698i | 0.368142 | + | 1.37392i | 0.863111 | + | 0.505014i | \(0.168513\pi\) |
−0.494969 | + | 0.868911i | \(0.664821\pi\) | |||||||
\(480\) | −68.5538 | − | 33.6308i | −3.12904 | − | 1.53503i | ||||
\(481\) | 3.65497 | + | 0.979346i | 0.166652 | + | 0.0446543i | ||||
\(482\) | −6.70721 | + | 5.01284i | −0.305505 | + | 0.228329i | ||||
\(483\) | −2.20046 | + | 63.4817i | −0.100124 | + | 2.88852i | ||||
\(484\) | −2.73794 | + | 5.21443i | −0.124452 | + | 0.237020i | ||||
\(485\) | 37.7782 | + | 14.2187i | 1.71542 | + | 0.645638i | ||||
\(486\) | −37.6633 | + | 26.2730i | −1.70844 | + | 1.19177i | ||||
\(487\) | 0.641583 | + | 0.562653i | 0.0290729 | + | 0.0254962i | 0.673759 | − | 0.738951i | \(-0.264679\pi\) |
−0.644686 | + | 0.764447i | \(0.723012\pi\) | |||||||
\(488\) | 1.56971 | + | 8.11619i | 0.0710575 | + | 0.367403i | ||||
\(489\) | −54.8700 | + | 10.9143i | −2.48131 | + | 0.493562i | ||||
\(490\) | −35.5983 | + | 21.3290i | −1.60817 | + | 0.963545i | ||||
\(491\) | −2.34941 | − | 7.74498i | −0.106028 | − | 0.349526i | 0.887833 | − | 0.460166i | \(-0.152210\pi\) |
−0.993861 | + | 0.110640i | \(0.964710\pi\) | |||||||
\(492\) | −3.99796 | + | 5.29056i | −0.180242 | + | 0.238517i | ||||
\(493\) | 0.982298 | + | 2.60990i | 0.0442405 | + | 0.117544i | ||||
\(494\) | 0.0483376 | − | 0.617454i | 0.00217481 | − | 0.0277806i | ||||
\(495\) | −69.5524 | − | 53.3695i | −3.12615 | − | 2.39878i | ||||
\(496\) | −34.6375 | + | 7.42237i | −1.55527 | + | 0.333274i | ||||
\(497\) | 18.5747 | + | 24.3037i | 0.833191 | + | 1.09017i | ||||
\(498\) | −3.89207 | − | 73.6816i | −0.174408 | − | 3.30175i | ||||
\(499\) | −22.1851 | + | 15.8976i | −0.993142 | + | 0.711675i | −0.957721 | − | 0.287697i | \(-0.907110\pi\) |
−0.0354204 | + | 0.999372i | \(0.511277\pi\) | |||||||
\(500\) | −60.2727 | − | 19.9655i | −2.69548 | − | 0.892884i | ||||
\(501\) | 44.2475 | − | 27.5148i | 1.97683 | − | 1.22927i | ||||
\(502\) | 9.26384 | + | 1.03113i | 0.413466 | + | 0.0460217i | ||||
\(503\) | −32.8035 | − | 21.9186i | −1.46264 | − | 0.977302i | −0.995663 | − | 0.0930306i | \(-0.970345\pi\) |
−0.466973 | − | 0.884272i | \(-0.654655\pi\) | |||||||
\(504\) | 55.0972 | + | 2.20243i | 2.45422 | + | 0.0981042i | ||||
\(505\) | −4.95092 | − | 7.40958i | −0.220313 | − | 0.329722i | ||||
\(506\) | 28.5254 | + | 9.04950i | 1.26811 | + | 0.402299i | ||||
\(507\) | 32.8877 | + | 23.5670i | 1.46060 | + | 1.04665i | ||||
\(508\) | −0.799063 | + | 31.5117i | −0.0354527 | + | 1.39811i | ||||
\(509\) | −1.67556 | − | 7.18607i | −0.0742678 | − | 0.318517i | 0.923633 | − | 0.383278i | \(-0.125205\pi\) |
−0.997901 | + | 0.0647609i | \(0.979372\pi\) | |||||||
\(510\) | 48.5114 | + | 28.8341i | 2.14812 | + | 1.27679i | ||||
\(511\) | −10.8961 | + | 6.26297i | −0.482017 | + | 0.277058i | ||||
\(512\) | 2.57585 | − | 22.4803i | 0.113838 | − | 0.993499i | ||||
\(513\) | 4.67080 | + | 8.09006i | 0.206221 | + | 0.357185i | ||||
\(514\) | 11.5526 | + | 20.6087i | 0.509565 | + | 0.909011i | ||||
\(515\) | 13.7810 | − | 12.9073i | 0.607263 | − | 0.568764i | ||||
\(516\) | 28.4819 | + | 17.4213i | 1.25385 | + | 0.766932i | ||||
\(517\) | 1.42220 | + | 0.140074i | 0.0625483 | + | 0.00616047i | ||||
\(518\) | 20.4514 | + | 6.53140i | 0.898582 | + | 0.286973i | ||||
\(519\) | −56.3455 | + | 37.6489i | −2.47329 | + | 1.65260i | ||||
\(520\) | 3.64932 | + | 6.91536i | 0.160033 | + | 0.303258i | ||||
\(521\) | −9.47003 | − | 19.2033i | −0.414890 | − | 0.841313i | −0.999549 | − | 0.0300340i | \(-0.990438\pi\) |
0.584659 | − | 0.811279i | \(-0.301228\pi\) | |||||||
\(522\) | −3.94305 | − | 9.00442i | −0.172583 | − | 0.394113i | ||||
\(523\) | 0.502000 | + | 15.3345i | 0.0219509 | + | 0.670531i | 0.952531 | + | 0.304442i | \(0.0984701\pi\) |
−0.930580 | + | 0.366089i | \(0.880697\pi\) | |||||||
\(524\) | 22.4170 | − | 4.63109i | 0.979292 | − | 0.202310i | ||||
\(525\) | 106.619 | − | 10.2940i | 4.65325 | − | 0.449267i | ||||
\(526\) | 10.5821 | − | 0.558975i | 0.461401 | − | 0.0243725i | ||||
\(527\) | 25.9563 | − | 3.41722i | 1.13068 | − | 0.148856i | ||||
\(528\) | 11.2388 | − | 34.7854i | 0.489108 | − | 1.51384i | ||||
\(529\) | −4.25394 | + | 32.3119i | −0.184954 | + | 1.40487i | ||||
\(530\) | −41.7508 | − | 28.6691i | −1.81354 | − | 1.24530i | ||||
\(531\) | 19.8195 | + | 16.2654i | 0.860091 | + | 0.705859i | ||||
\(532\) | 0.439681 | − | 3.48640i | 0.0190626 | − | 0.151155i | ||||
\(533\) | 0.649807 | − | 0.197117i | 0.0281463 | − | 0.00853808i | ||||
\(534\) | −31.2752 | − | 17.2301i | −1.35341 | − | 0.745621i | ||||
\(535\) | 8.85766 | + | 3.00677i | 0.382950 | + | 0.129994i | ||||
\(536\) | 3.50671 | − | 3.04256i | 0.151467 | − | 0.131418i | ||||
\(537\) | 28.8788 | − | 9.80305i | 1.24621 | − | 0.423033i | ||||
\(538\) | −3.10082 | + | 6.61917i | −0.133686 | + | 0.285372i | ||||
\(539\) | −12.5444 | − | 15.4060i | −0.540327 | − | 0.663582i | ||||
\(540\) | −104.418 | − | 54.8269i | −4.49345 | − | 2.35937i | ||||
\(541\) | 20.5953 | − | 33.1200i | 0.885463 | − | 1.42394i | −0.0201330 | − | 0.999797i | \(-0.506409\pi\) |
0.905596 | − | 0.424142i | \(-0.139424\pi\) | |||||||
\(542\) | −34.3562 | + | 4.08075i | −1.47573 | + | 0.175283i | ||||
\(543\) | −10.8981 | − | 40.6724i | −0.467684 | − | 1.74542i | ||||
\(544\) | −3.22855 | + | 16.4084i | −0.138423 | + | 0.703505i | ||||
\(545\) | −16.7421 | − | 16.7421i | −0.717152 | − | 0.717152i | ||||
\(546\) | −6.23221 | − | 4.92836i | −0.266714 | − | 0.210914i | ||||
\(547\) | 3.24827 | + | 6.07708i | 0.138886 | + | 0.259837i | 0.941742 | − | 0.336335i | \(-0.109187\pi\) |
−0.802856 | + | 0.596172i | \(0.796687\pi\) | |||||||
\(548\) | −15.1734 | + | 7.01028i | −0.648176 | + | 0.299464i | ||||
\(549\) | 3.50811 | + | 21.2483i | 0.149722 | + | 0.906855i | ||||
\(550\) | 8.85114 | − | 49.6835i | 0.377414 | − | 2.11851i | ||||
\(551\) | −0.593192 | + | 0.201362i | −0.0252708 | + | 0.00857829i | ||||
\(552\) | 67.2766 | + | 9.22037i | 2.86348 | + | 0.392445i | ||||
\(553\) | −7.99259 | − | 40.5895i | −0.339880 | − | 1.72604i | ||||
\(554\) | 32.4521 | + | 8.00181i | 1.37876 | + | 0.339964i | ||||
\(555\) | −56.5292 | − | 52.9454i | −2.39953 | − | 2.24741i | ||||
\(556\) | 13.3979 | + | 7.60412i | 0.568197 | + | 0.322487i | ||||
\(557\) | 1.90131 | + | 5.05167i | 0.0805612 | + | 0.214046i | 0.970047 | − | 0.242916i | \(-0.0781041\pi\) |
−0.889486 | + | 0.456962i | \(0.848937\pi\) | |||||||
\(558\) | −90.7329 | + | 16.8552i | −3.84103 | + | 0.713537i | ||||
\(559\) | −1.30836 | − | 3.15865i | −0.0553376 | − | 0.133597i | ||||
\(560\) | 18.8260 | + | 40.1718i | 0.795545 | + | 1.69757i | ||||
\(561\) | −10.3390 | + | 24.9605i | −0.436512 | + | 1.05383i | ||||
\(562\) | 1.42375 | − | 6.71188i | 0.0600573 | − | 0.283123i | ||||
\(563\) | 14.0251 | + | 6.35469i | 0.591087 | + | 0.267818i | 0.685922 | − | 0.727675i | \(-0.259399\pi\) |
−0.0948351 | + | 0.995493i | \(0.530232\pi\) | |||||||
\(564\) | 3.23411 | − | 0.235933i | 0.136180 | − | 0.00993458i | ||||
\(565\) | −1.96752 | − | 60.1017i | −0.0827744 | − | 2.52850i | ||||
\(566\) | −35.3037 | + | 5.36989i | −1.48393 | + | 0.225713i | ||||
\(567\) | 61.2155 | + | 4.13058i | 2.57081 | + | 0.173468i | ||||
\(568\) | 27.8610 | − | 17.1209i | 1.16902 | − | 0.718377i | ||||
\(569\) | 17.9568 | + | 8.85530i | 0.752787 | + | 0.371234i | 0.777848 | − | 0.628452i | \(-0.216311\pi\) |
−0.0250608 | + | 0.999686i | \(0.507978\pi\) | |||||||
\(570\) | −6.83034 | + | 10.6798i | −0.286092 | + | 0.447327i | ||||
\(571\) | 1.35372 | + | 0.970059i | 0.0566512 | + | 0.0405957i | 0.610450 | − | 0.792055i | \(-0.290989\pi\) |
−0.553798 | + | 0.832651i | \(0.686822\pi\) | |||||||
\(572\) | −3.02662 | + | 2.20280i | −0.126549 | + | 0.0921035i | ||||
\(573\) | −6.13374 | + | 20.2202i | −0.256241 | + | 0.844712i | ||||
\(574\) | 3.73564 | − | 0.942728i | 0.155923 | − | 0.0393487i | ||||
\(575\) | 93.7442 | 3.90940 | ||||||||
\(576\) | 8.31377 | − | 58.3592i | 0.346407 | − | 2.43163i | ||||
\(577\) | 16.7164 | − | 28.9536i | 0.695911 | − | 1.20535i | −0.273961 | − | 0.961741i | \(-0.588334\pi\) |
0.969873 | − | 0.243613i | \(-0.0783327\pi\) | |||||||
\(578\) | −3.16640 | + | 11.2450i | −0.131705 | + | 0.467731i | ||||
\(579\) | −10.1740 | − | 43.6338i | −0.422816 | − | 1.81336i | ||||
\(580\) | 4.97204 | − | 6.15036i | 0.206453 | − | 0.255380i | ||||
\(581\) | −25.0370 | + | 34.7975i | −1.03871 | + | 1.44364i | ||||
\(582\) | −1.99010 | + | 43.8037i | −0.0824923 | + | 1.81572i | ||||
\(583\) | 10.7239 | − | 21.7459i | 0.444139 | − | 0.900624i | ||||
\(584\) | 5.47998 | + | 12.2672i | 0.226763 | + | 0.507622i | ||||
\(585\) | 9.00958 | + | 18.2696i | 0.372500 | + | 0.755356i | ||||
\(586\) | 28.0419 | + | 35.0663i | 1.15840 | + | 1.44857i | ||||
\(587\) | −6.15699 | + | 11.5189i | −0.254126 | + | 0.475436i | −0.976342 | − | 0.216231i | \(-0.930624\pi\) |
0.722216 | + | 0.691667i | \(0.243124\pi\) | |||||||
\(588\) | −33.9977 | − | 29.6039i | −1.40204 | − | 1.22084i | ||||
\(589\) | 0.576450 | + | 5.85279i | 0.0237522 | + | 0.241160i | ||||
\(590\) | −4.28052 | + | 20.1793i | −0.176226 | + | 0.830769i | ||||
\(591\) | −26.6113 | − | 34.6805i | −1.09464 | − | 1.42657i | ||||
\(592\) | 9.16289 | − | 21.0429i | 0.376593 | − | 0.864859i | ||||
\(593\) | −14.5492 | − | 11.1640i | −0.597463 | − | 0.458450i | 0.265224 | − | 0.964187i | \(-0.414554\pi\) |
−0.862688 | + | 0.505737i | \(0.831221\pi\) | |||||||
\(594\) | 18.8251 | − | 53.2305i | 0.772405 | − | 2.18408i | ||||
\(595\) | −11.4905 | − | 30.7085i | −0.471063 | − | 1.25893i | ||||
\(596\) | 3.88541 | + | 3.82854i | 0.159153 | + | 0.156823i | ||||
\(597\) | −0.216044 | + | 0.230668i | −0.00884209 | + | 0.00944060i | ||||
\(598\) | −5.01450 | − | 4.81736i | −0.205058 | − | 0.196997i | ||||
\(599\) | 32.9278 | + | 11.1775i | 1.34539 | + | 0.456699i | 0.898926 | − | 0.438101i | \(-0.144349\pi\) |
0.446467 | + | 0.894800i | \(0.352682\pi\) | |||||||
\(600\) | 0.607292 | − | 114.509i | 0.0247926 | − | 4.67483i | ||||
\(601\) | −7.28087 | − | 1.44826i | −0.296993 | − | 0.0590756i | 0.0443448 | − | 0.999016i | \(-0.485880\pi\) |
−0.341338 | + | 0.939941i | \(0.610880\pi\) | |||||||
\(602\) | −6.56719 | − | 18.2526i | −0.267659 | − | 0.743921i | ||||
\(603\) | 9.34950 | − | 7.67293i | 0.380741 | − | 0.312466i | ||||
\(604\) | −2.29158 | + | 6.22747i | −0.0932430 | + | 0.253392i | ||||
\(605\) | −12.3379 | − | 0.403902i | −0.501608 | − | 0.0164210i | ||||
\(606\) | 5.98998 | − | 7.60472i | 0.243326 | − | 0.308921i | ||||
\(607\) | 23.2631 | + | 6.23332i | 0.944219 | + | 0.253003i | 0.697907 | − | 0.716188i | \(-0.254115\pi\) |
0.246311 | + | 0.969191i | \(0.420781\pi\) | |||||||
\(608\) | −3.66026 | − | 0.845471i | −0.148443 | − | 0.0342884i | ||||
\(609\) | −2.09490 | + | 7.75854i | −0.0848897 | + | 0.314392i | ||||
\(610\) | −13.8790 | + | 10.3729i | −0.561943 | + | 0.419985i | ||||
\(611\) | −0.281982 | − | 0.175347i | −0.0114078 | − | 0.00709380i | ||||
\(612\) | −9.57982 | + | 42.5001i | −0.387241 | + | 1.71797i | ||||
\(613\) | −1.60091 | − | 9.69654i | −0.0646600 | − | 0.391640i | −0.999346 | − | 0.0361649i | \(-0.988486\pi\) |
0.934686 | − | 0.355475i | \(-0.115681\pi\) | |||||||
\(614\) | 2.01011 | − | 0.172282i | 0.0811215 | − | 0.00695273i | ||||
\(615\) | −13.6322 | − | 2.71161i | −0.549702 | − | 0.109343i | ||||
\(616\) | −17.7444 | + | 11.6718i | −0.714941 | + | 0.470270i | ||||
\(617\) | −1.52271 | − | 7.65520i | −0.0613022 | − | 0.308187i | 0.937954 | − | 0.346761i | \(-0.112718\pi\) |
−0.999256 | + | 0.0385741i | \(0.987718\pi\) | |||||||
\(618\) | 17.9651 | + | 9.89737i | 0.722664 | + | 0.398131i | ||||
\(619\) | 3.13981 | − | 13.4659i | 0.126200 | − | 0.541240i | −0.872422 | − | 0.488753i | \(-0.837452\pi\) |
0.998622 | − | 0.0524872i | \(-0.0167149\pi\) | |||||||
\(620\) | −45.6329 | − | 58.5707i | −1.83266 | − | 2.35226i | ||||
\(621\) | 103.480 | + | 17.0847i | 4.15252 | + | 0.685584i | ||||
\(622\) | −12.3192 | + | 5.88220i | −0.493954 | + | 0.235855i | ||||
\(623\) | 7.90222 | + | 19.1820i | 0.316596 | + | 0.768509i | ||||
\(624\) | −5.91694 | + | 6.09406i | −0.236867 | + | 0.243957i | ||||
\(625\) | −9.16525 | − | 69.6170i | −0.366610 | − | 2.78468i | ||||
\(626\) | −10.8987 | − | 5.54746i | −0.435598 | − | 0.221721i | ||||
\(627\) | −5.52810 | − | 2.50475i | −0.220771 | − | 0.100030i | ||||
\(628\) | −0.158880 | + | 2.73259i | −0.00633999 | + | 0.109042i | ||||
\(629\) | −7.99602 | + | 14.9595i | −0.318822 | + | 0.596475i | ||||
\(630\) | 46.1573 | + | 105.960i | 1.83895 | + | 4.22154i | ||||
\(631\) | 18.8082 | − | 28.1485i | 0.748745 | − | 1.12058i | −0.239972 | − | 0.970780i | \(-0.577138\pi\) |
0.988717 | − | 0.149796i | \(-0.0478616\pi\) | |||||||
\(632\) | −44.0346 | + | 4.10136i | −1.75160 | + | 0.163143i | ||||
\(633\) | 0.782042 | + | 11.9317i | 0.0310834 | + | 0.474241i | ||||
\(634\) | −3.73564 | + | 0.821245i | −0.148361 | + | 0.0326158i | ||||
\(635\) | −60.1810 | + | 27.2677i | −2.38821 | + | 1.08208i | ||||
\(636\) | 15.5820 | − | 52.7643i | 0.617866 | − | 2.09224i | ||||
\(637\) | 1.03094 | + | 4.49967i | 0.0408471 | + | 0.178283i | ||||
\(638\) | 3.25471 | + | 1.93453i | 0.128855 | + | 0.0765886i | ||||
\(639\) | 73.7786 | − | 42.5961i | 2.91864 | − | 1.68508i | ||||
\(640\) | 44.7645 | − | 15.6684i | 1.76947 | − | 0.619348i | ||||
\(641\) | 13.6104 | − | 23.5739i | 0.537578 | − | 0.931112i | −0.461456 | − | 0.887163i | \(-0.652673\pi\) |
0.999034 | − | 0.0439486i | \(-0.0139938\pi\) | |||||||
\(642\) | −0.128803 | + | 10.1605i | −0.00508344 | + | 0.401004i | ||||
\(643\) | −6.43164 | + | 21.2023i | −0.253639 | + | 0.836136i | 0.733967 | + | 0.679185i | \(0.237666\pi\) |
−0.987606 | + | 0.156951i | \(0.949834\pi\) | |||||||
\(644\) | −27.1263 | − | 28.6480i | −1.06892 | − | 1.12889i | ||||
\(645\) | −6.85931 | + | 69.6437i | −0.270085 | + | 2.74222i | ||||
\(646\) | 2.64640 | + | 0.839554i | 0.104121 | + | 0.0330318i | ||||
\(647\) | −34.8988 | + | 2.28739i | −1.37201 | + | 0.0899266i | −0.733503 | − | 0.679686i | \(-0.762116\pi\) |
−0.638511 | + | 0.769613i | \(0.720449\pi\) | |||||||
\(648\) | 11.0275 | − | 64.6573i | 0.433202 | − | 2.53998i | ||||
\(649\) | −9.85445 | − | 0.645895i | −0.386821 | − | 0.0253536i | ||||
\(650\) | −6.95041 | + | 9.44410i | −0.272617 | + | 0.370428i | ||||
\(651\) | 66.4699 | + | 35.6935i | 2.60516 | + | 1.39894i | ||||
\(652\) | 19.0915 | − | 29.0336i | 0.747681 | − | 1.13704i | ||||
\(653\) | −10.0021 | − | 13.9578i | −0.391410 | − | 0.546213i | 0.569888 | − | 0.821723i | \(-0.306987\pi\) |
−0.961298 | + | 0.275510i | \(0.911153\pi\) | |||||||
\(654\) | 11.6672 | − | 22.9217i | 0.456225 | − | 0.896309i | ||||
\(655\) | 29.2075 | + | 38.0640i | 1.14123 | + | 1.48728i | ||||
\(656\) | −0.597760 | − | 4.07516i | −0.0233386 | − | 0.159108i | ||||
\(657\) | 13.3947 | + | 32.3377i | 0.522578 | + | 1.26161i | ||||
\(658\) | −1.55104 | − | 1.06945i | −0.0604660 | − | 0.0416917i | ||||
\(659\) | −6.12077 | + | 7.45818i | −0.238431 | + | 0.290529i | −0.878454 | − | 0.477826i | \(-0.841425\pi\) |
0.640023 | + | 0.768356i | \(0.278925\pi\) | |||||||
\(660\) | 75.8905 | − | 10.5610i | 2.95404 | − | 0.411085i | ||||
\(661\) | −1.47513 | − | 0.343952i | −0.0573759 | − | 0.0133782i | 0.198290 | − | 0.980143i | \(-0.436461\pi\) |
−0.255666 | + | 0.966765i | \(0.582295\pi\) | |||||||
\(662\) | 24.7264 | − | 0.495801i | 0.961017 | − | 0.0192698i | ||||
\(663\) | 4.71972 | − | 4.13908i | 0.183299 | − | 0.160749i | ||||
\(664\) | 34.2949 | + | 30.3991i | 1.33090 | + | 1.17971i | ||||
\(665\) | 6.97909 | − | 2.35412i | 0.270637 | − | 0.0912887i | ||||
\(666\) | 25.3651 | − | 54.1454i | 0.982876 | − | 2.09809i | ||||
\(667\) | −2.47745 | + | 6.58243i | −0.0959272 | + | 0.254873i | ||||
\(668\) | −7.11629 | + | 31.5709i | −0.275338 | + | 1.22151i | ||||
\(669\) | −65.4557 | − | 2.14280i | −2.53066 | − | 0.0828454i | ||||
\(670\) | 8.94240 | + | 3.83757i | 0.345475 | + | 0.148258i | ||||
\(671\) | −5.86551 | − | 5.86551i | −0.226435 | − | 0.226435i | ||||
\(672\) | −35.1695 | + | 32.9494i | −1.35669 | + | 1.27105i | ||||
\(673\) | −2.74430 | + | 2.74430i | −0.105785 | + | 0.105785i | −0.758018 | − | 0.652233i | \(-0.773832\pi\) |
0.652233 | + | 0.758018i | \(0.273832\pi\) | |||||||
\(674\) | −1.31980 | + | 0.527178i | −0.0508366 | + | 0.0203061i | ||||
\(675\) | 5.78683 | − | 176.769i | 0.222735 | − | 6.80386i | ||||
\(676\) | −24.7637 | + | 4.27629i | −0.952450 | + | 0.164473i | ||||
\(677\) | −21.7122 | − | 8.17191i | −0.834469 | − | 0.314072i | −0.101925 | − | 0.994792i | \(-0.532500\pi\) |
−0.732544 | + | 0.680720i | \(0.761667\pi\) | |||||||
\(678\) | 61.4233 | − | 22.2334i | 2.35895 | − | 0.853867i | ||||
\(679\) | 16.8344 | − | 19.1216i | 0.646045 | − | 0.733820i | ||||
\(680\) | −33.9050 | + | 8.89236i | −1.30020 | + | 0.341007i | ||||
\(681\) | −39.7998 | − | 45.3830i | −1.52513 | − | 1.73908i | ||||
\(682\) | 24.6258 | − | 25.6336i | 0.942970 | − | 0.981560i | ||||
\(683\) | −1.66096 | + | 7.12345i | −0.0635547 | + | 0.272571i | −0.996071 | − | 0.0885561i | \(-0.971775\pi\) |
0.932516 | + | 0.361127i | \(0.117608\pi\) | |||||||
\(684\) | −9.47166 | − | 2.46322i | −0.362158 | − | 0.0941837i | ||||
\(685\) | −27.0816 | − | 22.2253i | −1.03474 | − | 0.849186i | ||||
\(686\) | 4.63498 | + | 25.7782i | 0.176964 | + | 0.984217i | ||||
\(687\) | 19.7044 | − | 8.16183i | 0.751770 | − | 0.311393i | ||||
\(688\) | −20.1241 | + | 5.00625i | −0.767223 | + | 0.190861i | ||||
\(689\) | −4.46958 | + | 3.42963i | −0.170277 | + | 0.130658i | ||||
\(690\) | 44.0387 | + | 135.347i | 1.67653 | + | 5.15256i | ||||
\(691\) | −12.7861 | + | 9.16236i | −0.486405 | + | 0.348553i | −0.798997 | − | 0.601335i | \(-0.794636\pi\) |
0.312593 | + | 0.949887i | \(0.398803\pi\) | |||||||
\(692\) | 7.90686 | − | 41.3411i | 0.300574 | − | 1.57155i | ||||
\(693\) | −47.0435 | + | 29.1282i | −1.78704 | + | 1.10649i | ||||
\(694\) | −26.4470 | + | 4.02273i | −1.00391 | + | 0.152701i | ||||
\(695\) | −2.11186 | + | 32.2208i | −0.0801075 | + | 1.22220i | ||||
\(696\) | 8.02445 | + | 3.06887i | 0.304166 | + | 0.116325i | ||||
\(697\) | 0.199088 | + | 3.03750i | 0.00754101 | + | 0.115054i | ||||
\(698\) | −13.3989 | + | 6.94495i | −0.507156 | + | 0.262870i | ||||
\(699\) | 29.9682 | + | 2.95161i | 1.13350 | + | 0.111640i | ||||
\(700\) | −41.9258 | + | 51.6581i | −1.58465 | + | 1.95249i | ||||
\(701\) | 13.6375 | + | 4.13688i | 0.515080 | + | 0.156248i | 0.537115 | − | 0.843509i | \(-0.319514\pi\) |
−0.0220343 | + | 0.999757i | \(0.507014\pi\) | |||||||
\(702\) | −9.39344 | + | 9.15826i | −0.354533 | + | 0.345656i | ||||
\(703\) | −3.29992 | − | 1.90521i | −0.124459 | − | 0.0718563i | ||||
\(704\) | 10.4903 | + | 20.1368i | 0.395366 | + | 0.758933i | ||||
\(705\) | 3.39837 | + | 5.88616i | 0.127990 | + | 0.221686i | ||||
\(706\) | 12.6409 | − | 3.21595i | 0.475746 | − | 0.121034i | ||||
\(707\) | −5.47987 | + | 1.26661i | −0.206092 | + | 0.0476359i | ||||
\(708\) | −22.2838 | + | 2.36078i | −0.837478 | + | 0.0887234i | ||||
\(709\) | 16.0721 | + | 35.4719i | 0.603601 | + | 1.33218i | 0.923089 | + | 0.384585i | \(0.125656\pi\) |
−0.319489 | + | 0.947590i | \(0.603511\pi\) | |||||||
\(710\) | 57.7426 | + | 36.9297i | 2.16704 | + | 1.38595i | ||||
\(711\) | −114.968 | + | 7.53539i | −4.31163 | + | 0.282599i | ||||
\(712\) | 21.2572 | − | 6.32538i | 0.796646 | − | 0.237054i | ||||
\(713\) | 54.9013 | + | 36.6839i | 2.05607 | + | 1.37382i | ||||
\(714\) | 27.8596 | − | 22.1911i | 1.04262 | − | 0.830481i | ||||
\(715\) | −6.91967 | − | 3.69864i | −0.258781 | − | 0.138321i | ||||
\(716\) | −8.25249 | + | 17.0501i | −0.308410 | + | 0.637194i | ||||
\(717\) | −13.7292 | + | 30.3011i | −0.512728 | + | 1.13161i | ||||
\(718\) | 9.97639 | + | 30.6610i | 0.372315 | + | 1.14426i | ||||
\(719\) | −41.4254 | + | 5.45376i | −1.54491 | + | 0.203391i | −0.854277 | − | 0.519817i | \(-0.826000\pi\) |
−0.690630 | + | 0.723208i | \(0.742667\pi\) | |||||||
\(720\) | 117.695 | − | 37.6061i | 4.38623 | − | 1.40150i | ||||
\(721\) | −4.53921 | − | 11.0185i | −0.169049 | − | 0.410352i | ||||
\(722\) | 8.75098 | − | 24.7445i | 0.325678 | − | 0.920897i | ||||
\(723\) | 3.10570 | − | 18.8109i | 0.115502 | − | 0.699586i | ||||
\(724\) | 22.7452 | + | 12.9093i | 0.845321 | + | 0.479771i | ||||
\(725\) | 11.5505 | + | 2.69319i | 0.428974 | + | 0.100023i | ||||
\(726\) | −3.72971 | − | 12.8808i | −0.138422 | − | 0.478050i | ||||
\(727\) | −39.8299 | + | 7.92265i | −1.47721 | + | 0.293835i | −0.866961 | − | 0.498376i | \(-0.833930\pi\) |
−0.610247 | + | 0.792211i | \(0.708930\pi\) | |||||||
\(728\) | 4.89730 | − | 0.608767i | 0.181506 | − | 0.0225624i | ||||
\(729\) | 6.82608 | − | 34.3170i | 0.252818 | − | 1.27100i | ||||
\(730\) | −18.1398 | + | 21.5407i | −0.671384 | + | 0.797257i | ||||
\(731\) | 15.1215 | − | 2.49657i | 0.559289 | − | 0.0923389i | ||||
\(732\) | −15.3800 | − | 10.8504i | −0.568461 | − | 0.401043i | ||||
\(733\) | −3.59912 | + | 5.78786i | −0.132937 | + | 0.213779i | −0.908916 | − | 0.416978i | \(-0.863089\pi\) |
0.775980 | + | 0.630758i | \(0.217256\pi\) | |||||||
\(734\) | −41.0320 | − | 5.93202i | −1.51452 | − | 0.218955i | ||||
\(735\) | 24.8066 | − | 91.1746i | 0.915005 | − | 3.36303i | ||||
\(736\) | −33.4081 | + | 25.7449i | −1.23144 | + | 0.948971i | ||||
\(737\) | −1.20575 | + | 4.49991i | −0.0444142 | + | 0.165756i | ||||
\(738\) | −1.26560 | − | 10.6552i | −0.0465874 | − | 0.392224i | ||||
\(739\) | −1.03264 | + | 31.5439i | −0.0379863 | + | 1.16036i | 0.794837 | + | 0.606823i | \(0.207556\pi\) |
−0.832823 | + | 0.553539i | \(0.813277\pi\) | |||||||
\(740\) | 48.0676 | − | 1.92843i | 1.76700 | − | 0.0708906i | ||||
\(741\) | 0.894611 | + | 1.09009i | 0.0328644 | + | 0.0400453i | ||||
\(742\) | −26.2515 | + | 18.2375i | −0.963724 | + | 0.669518i | ||||
\(743\) | 1.27417 | − | 6.40568i | 0.0467447 | − | 0.235001i | −0.950349 | − | 0.311186i | \(-0.899274\pi\) |
0.997094 | + | 0.0761845i | \(0.0242738\pi\) | |||||||
\(744\) | 45.1653 | − | 66.8248i | 1.65584 | − | 2.44992i | ||||
\(745\) | −3.67509 | + | 10.8265i | −0.134645 | + | 0.396651i | ||||
\(746\) | −29.2175 | + | 0.585855i | −1.06973 | + | 0.0214497i | ||||
\(747\) | 87.1393 | + | 81.6149i | 3.18826 | + | 2.98613i | ||||
\(748\) | −6.53580 | − | 15.4555i | −0.238973 | − | 0.565110i | ||||
\(749\) | 3.75405 | − | 4.55642i | 0.137170 | − | 0.166488i | ||||
\(750\) | 130.460 | − | 62.2923i | 4.76371 | − | 2.27459i | ||||
\(751\) | 24.2380 | − | 31.5876i | 0.884458 | − | 1.15265i | −0.102987 | − | 0.994683i | \(-0.532840\pi\) |
0.987445 | − | 0.157965i | \(-0.0504933\pi\) | |||||||
\(752\) | −1.30551 | + | 1.53369i | −0.0476069 | + | 0.0559277i | ||||
\(753\) | −16.8374 | + | 12.9198i | −0.613590 | + | 0.470824i | ||||
\(754\) | −0.479452 | − | 0.737623i | −0.0174606 | − | 0.0268626i | ||||
\(755\) | −13.8416 | + | 1.36328i | −0.503747 | + | 0.0496147i | ||||
\(756\) | −55.6948 | + | 49.3824i | −2.02560 | + | 1.79602i | ||||
\(757\) | −18.3524 | − | 9.80957i | −0.667030 | − | 0.356535i | 0.102874 | − | 0.994694i | \(-0.467196\pi\) |
−0.769904 | + | 0.638160i | \(0.779696\pi\) | |||||||
\(758\) | 1.36706 | − | 12.2819i | 0.0496539 | − | 0.446098i | ||||
\(759\) | −61.1125 | + | 30.1374i | −2.21824 | + | 1.09392i | ||||
\(760\) | −1.74730 | − | 7.67766i | −0.0633812 | − | 0.278498i | ||||
\(761\) | 2.53456 | + | 1.24991i | 0.0918778 | + | 0.0453091i | 0.487647 | − | 0.873041i | \(-0.337855\pi\) |
−0.395769 | + | 0.918350i | \(0.629522\pi\) | |||||||
\(762\) | −48.3949 | − | 53.0016i | −1.75316 | − | 1.92004i | ||||
\(763\) | −13.6232 | + | 6.14104i | −0.493194 | + | 0.222321i | ||||
\(764\) | −6.27186 | − | 11.5286i | −0.226908 | − | 0.417089i | ||||
\(765\) | −88.9304 | + | 20.7357i | −3.21529 | + | 0.749700i | ||||
\(766\) | −19.6129 | + | 10.9944i | −0.708642 | + | 0.397244i | ||||
\(767\) | 1.98722 | + | 1.14732i | 0.0717545 | + | 0.0414275i | ||||
\(768\) | 31.2313 | + | 40.9751i | 1.12696 | + | 1.47856i | ||||
\(769\) | 25.5987i | 0.923112i | 0.887111 | + | 0.461556i | \(0.152709\pi\) | ||||
−0.887111 | + | 0.461556i | \(0.847291\pi\) | |||||||
\(770\) | −38.2239 | − | 22.8191i | −1.37749 | − | 0.822342i | ||||
\(771\) | −51.4774 | − | 15.6155i | −1.85391 | − | 0.562379i | ||||
\(772\) | 23.7397 | + | 14.5207i | 0.854412 | + | 0.522612i | ||||
\(773\) | −16.3763 | + | 22.8531i | −0.589016 | + | 0.821970i | −0.995800 | − | 0.0915539i | \(-0.970817\pi\) |
0.406785 | + | 0.913524i | \(0.366650\pi\) | |||||||
\(774\) | −52.7646 | + | 11.5998i | −1.89659 | + | 0.416947i | ||||
\(775\) | 49.2475 | − | 99.8640i | 1.76902 | − | 3.58722i | ||||
\(776\) | −18.5120 | − | 19.9764i | −0.664543 | − | 0.717111i | ||||
\(777\) | −43.8831 | + | 21.5359i | −1.57430 | + | 0.772596i | ||||
\(778\) | −15.6283 | + | 21.2354i | −0.560300 | + | 0.761327i | ||||
\(779\) | −0.683439 | + | 0.0223735i | −0.0244867 | + | 0.000801613i | ||||
\(780\) | −16.9004 | − | 5.59830i | −0.605132 | − | 0.200451i | ||||
\(781\) | −13.5425 | + | 29.8889i | −0.484588 | + | 1.06951i | ||||
\(782\) | 26.1355 | − | 16.9880i | 0.934603 | − | 0.607488i | ||||
\(783\) | 12.2593 | + | 5.07796i | 0.438111 | + | 0.181471i | ||||
\(784\) | 27.9184 | − | 2.13565i | 0.997087 | − | 0.0762731i | ||||
\(785\) | −5.30051 | + | 2.19554i | −0.189183 | + | 0.0783623i | ||||
\(786\) | −29.5028 | + | 42.9650i | −1.05233 | + | 1.53251i | ||||
\(787\) | −38.8292 | + | 14.6143i | −1.38411 | + | 0.520943i | −0.929194 | − | 0.369591i | \(-0.879498\pi\) |
−0.454917 | + | 0.890534i | \(0.650331\pi\) | |||||||
\(788\) | 26.9444 | + | 3.34539i | 0.959854 | + | 0.119175i | ||||
\(789\) | −16.4937 | + | 17.6101i | −0.587190 | + | 0.626937i | ||||
\(790\) | −47.9484 | − | 79.3324i | −1.70593 | − | 2.82252i | ||||
\(791\) | −35.9151 | − | 12.2686i | −1.27699 | − | 0.436223i | ||||
\(792\) | 25.8804 | + | 53.1894i | 0.919618 | + | 1.89000i | ||||
\(793\) | 0.619545 | + | 1.82512i | 0.0220007 | + | 0.0648119i | ||||
\(794\) | −10.2574 | − | 14.7043i | −0.364021 | − | 0.521837i | ||||
\(795\) | 113.776 | − | 18.7845i | 4.03523 | − | 0.666219i | ||||
\(796\) | −0.00786898 | − | 0.196140i | −0.000278909 | − | 0.00695201i | ||||
\(797\) | 14.0408 | − | 7.50496i | 0.497350 | − | 0.265839i | −0.203594 | − | 0.979055i | \(-0.565262\pi\) |
0.700944 | + | 0.713216i | \(0.252762\pi\) | |||||||
\(798\) | 4.77755 | + | 6.41810i | 0.169123 | + | 0.227198i | ||||
\(799\) | 1.05255 | − | 1.05255i | 0.0372365 | − | 0.0372365i | ||||
\(800\) | 50.3964 | + | 50.1883i | 1.78178 | + | 1.77442i | ||||
\(801\) | 55.8097 | − | 14.9542i | 1.97194 | − | 0.528379i | ||||
\(802\) | 9.25243 | − | 11.7467i | 0.326715 | − | 0.414789i | ||||
\(803\) | −11.4489 | − | 7.11936i | −0.404021 | − | 0.251237i | ||||
\(804\) | −0.958536 | + | 10.5273i | −0.0338050 | + | 0.371269i | ||||
\(805\) | 29.2779 | − | 77.3377i | 1.03191 | − | 2.72580i | ||||
\(806\) | −7.76616 | + | 2.81111i | −0.273551 | + | 0.0990173i | ||||
\(807\) | −5.34970 | − | 15.7597i | −0.188318 | − | 0.554768i | ||||
\(808\) | 0.753186 | + | 5.96531i | 0.0264970 | + | 0.209859i | ||||
\(809\) | 7.55087 | − | 22.2442i | 0.265475 | − | 0.782063i | −0.729684 | − | 0.683784i | \(-0.760333\pi\) |
0.995159 | − | 0.0982787i | \(-0.0313337\pi\) | |||||||
\(810\) | 132.055 | − | 38.2374i | 4.63994 | − | 1.34353i | ||||
\(811\) | −6.13369 | − | 20.2201i | −0.215383 | − | 0.710023i | −0.996343 | − | 0.0854419i | \(-0.972770\pi\) |
0.780960 | − | 0.624581i | \(-0.214730\pi\) | |||||||
\(812\) | −2.51927 | − | 4.30911i | −0.0884090 | − | 0.151220i | ||||
\(813\) | 49.9747 | − | 60.8943i | 1.75269 | − | 2.13566i | ||||
\(814\) | 4.20633 | + | 22.6430i | 0.147432 | + | 0.793638i | ||||
\(815\) | 72.2095 | + | 9.50657i | 2.52939 | + | 0.333001i | ||||
\(816\) | −20.5816 | − | 32.0348i | −0.720502 | − | 1.12144i | ||||
\(817\) | 0.449383 | + | 3.41341i | 0.0157219 | + | 0.119420i | ||||
\(818\) | −29.9013 | + | 33.2364i | −1.04547 | + | 1.16208i | ||||
\(819\) | 12.7970 | − | 1.23554i | 0.447164 | − | 0.0431732i | ||||
\(820\) | 7.14253 | − | 4.84903i | 0.249428 | − | 0.169336i | ||||
\(821\) | −11.4301 | + | 0.374182i | −0.398912 | + | 0.0130590i | −0.231517 | − | 0.972831i | \(-0.574369\pi\) |
−0.167395 | + | 0.985890i | \(0.553536\pi\) | |||||||
\(822\) | 13.8561 | − | 35.4453i | 0.483288 | − | 1.23630i | ||||
\(823\) | 4.62711 | − | 2.28184i | 0.161291 | − | 0.0795399i | −0.359852 | − | 0.933010i | \(-0.617173\pi\) |
0.521143 | + | 0.853470i | \(0.325506\pi\) | |||||||
\(824\) | −12.2106 | + | 3.63344i | −0.425376 | + | 0.126577i | ||||
\(825\) | 63.8381 | + | 95.5405i | 2.22256 | + | 3.32629i | ||||
\(826\) | 10.9545 | + | 7.03577i | 0.381155 | + | 0.244806i | ||||
\(827\) | −2.41859 | + | 24.5563i | −0.0841026 | + | 0.853908i | 0.856894 | + | 0.515492i | \(0.172391\pi\) |
−0.940997 | + | 0.338415i | \(0.890109\pi\) | |||||||
\(828\) | −88.8402 | + | 64.6586i | −3.08741 | + | 2.24704i | ||||
\(829\) | −6.11297 | − | 6.52675i | −0.212312 | − | 0.226683i | 0.614854 | − | 0.788641i | \(-0.289215\pi\) |
−0.827166 | + | 0.561958i | \(0.810048\pi\) | |||||||
\(830\) | −26.0355 | + | 92.4614i | −0.903706 | + | 3.20938i | ||||
\(831\) | −65.9074 | + | 38.0517i | −2.28630 | + | 1.32000i | ||||
\(832\) | −0.116680 | − | 5.27443i | −0.00404515 | − | 0.182858i | ||||
\(833\) | −20.6935 | − | 0.0796309i | −0.716988 | − | 0.00275905i | ||||
\(834\) | −33.9937 | + | 8.64827i | −1.17710 | + | 0.299465i | ||||
\(835\) | −66.0612 | + | 15.4033i | −2.28614 | + | 0.533054i | ||||
\(836\) | 3.51809 | − | 1.35381i | 0.121676 | − | 0.0468226i | ||||
\(837\) | 72.5623 | − | 101.261i | 2.50812 | − | 3.50008i | ||||
\(838\) | −18.4469 | − | 35.5896i | −0.637237 | − | 1.22942i | ||||
\(839\) | −2.77044 | + | 1.85115i | −0.0956463 | + | 0.0639088i | −0.602474 | − | 0.798139i | \(-0.705818\pi\) |
0.506827 | + | 0.862048i | \(0.330818\pi\) | |||||||
\(840\) | −94.2791 | − | 36.2642i | −3.25294 | − | 1.25123i | ||||
\(841\) | 15.6172 | − | 23.3728i | 0.538523 | − | 0.805957i | ||||
\(842\) | 43.0292 | − | 34.4097i | 1.48288 | − | 1.18584i | ||||
\(843\) | 8.24965 | + | 13.2665i | 0.284133 | + | 0.456923i | ||||
\(844\) | −5.61973 | − | 4.85554i | −0.193439 | − | 0.167135i | ||||
\(845\) | −30.6810 | − | 42.8153i | −1.05546 | − | 1.47289i | ||||
\(846\) | −3.50935 | + | 3.90077i | −0.120654 | + | 0.134111i | ||||
\(847\) | −2.99537 | + | 7.19230i | −0.102922 | + | 0.247130i | ||||
\(848\) | 16.5511 | + | 29.8960i | 0.568367 | + | 1.02663i | ||||
\(849\) | 49.4969 | − | 64.5057i | 1.69873 | − | 2.21383i | ||||
\(850\) | −34.1549 | − | 39.9567i | −1.17150 | − | 1.37050i | ||||
\(851\) | −40.0388 | + | 15.0695i | −1.37251 | + | 0.516577i | ||||
\(852\) | −18.7402 | + | 72.0602i | −0.642028 | + | 2.46874i | ||||
\(853\) | −39.6773 | + | 12.0360i | −1.35852 | + | 0.412104i | −0.883732 | − | 0.467994i | \(-0.844977\pi\) |
−0.474793 | + | 0.880098i | \(0.657477\pi\) | |||||||
\(854\) | 3.02134 | + | 10.5100i | 0.103388 | + | 0.359645i | ||||
\(855\) | −4.00191 | − | 20.1189i | −0.136862 | − | 0.688053i | ||||
\(856\) | −4.43906 | − | 4.48640i | −0.151724 | − | 0.153342i | ||||
\(857\) | −14.2991 | + | 16.3050i | −0.488449 | + | 0.556969i | −0.942586 | − | 0.333963i | \(-0.891614\pi\) |
0.454138 | + | 0.890932i | \(0.349947\pi\) | |||||||
\(858\) | 1.49488 | − | 8.39113i | 0.0510345 | − | 0.286469i | ||||
\(859\) | 1.35172 | − | 3.59143i | 0.0461201 | − | 0.122538i | −0.910838 | − | 0.412763i | \(-0.864564\pi\) |
0.956958 | + | 0.290225i | \(0.0937303\pi\) | |||||||
\(860\) | −27.8215 | − | 33.3954i | −0.948705 | − | 1.13877i | ||||
\(861\) | −4.64672 | + | 7.44057i | −0.158360 | + | 0.253574i | ||||
\(862\) | 18.5285 | + | 2.67868i | 0.631083 | + | 0.0912361i | ||||
\(863\) | −8.05840 | + | 30.0743i | −0.274311 | + | 1.02374i | 0.681991 | + | 0.731361i | \(0.261114\pi\) |
−0.956302 | + | 0.292382i | \(0.905552\pi\) | |||||||
\(864\) | 46.4839 | + | 64.5855i | 1.58141 | + | 2.19724i | ||||
\(865\) | 85.2162 | − | 22.8336i | 2.89744 | − | 0.776366i | ||||
\(866\) | −2.43149 | + | 5.66592i | −0.0826255 | + | 0.192536i | ||||
\(867\) | −12.5389 | − | 23.4586i | −0.425843 | − | 0.796697i | ||||
\(868\) | −44.7687 | + | 13.8472i | −1.51955 | + | 0.470006i | ||||
\(869\) | 34.3044 | − | 28.1529i | 1.16370 | − | 0.955021i | ||||
\(870\) | 1.53773 | + | 17.9416i | 0.0521341 | + | 0.608278i | ||||
\(871\) | 0.713717 | − | 0.813838i | 0.0241834 | − | 0.0275759i | ||||
\(872\) | 5.05475 | + | 15.1544i | 0.171175 | + | 0.513192i | ||||
\(873\) | −46.7821 | − | 53.3448i | −1.58333 | − | 1.80545i | ||||
\(874\) | 3.62202 | + | 5.99276i | 0.122517 | + | 0.202708i | ||||
\(875\) | −81.7630 | − | 19.2304i | −2.76409 | − | 0.650106i | ||||
\(876\) | −28.3484 | − | 11.4982i | −0.957804 | − | 0.388487i | ||||
\(877\) | −6.83216 | + | 41.3818i | −0.230706 | + | 1.39736i | 0.581289 | + | 0.813697i | \(0.302549\pi\) |
−0.811994 | + | 0.583665i | \(0.801618\pi\) | |||||||
\(878\) | −4.07577 | + | 52.0630i | −0.137550 | + | 1.75704i | ||||
\(879\) | −101.358 | − | 13.3440i | −3.41871 | − | 0.450082i | ||||
\(880\) | −28.4116 | + | 38.1794i | −0.957755 | + | 1.28703i | ||||
\(881\) | 20.1443 | − | 48.6327i | 0.678679 | − | 1.63848i | −0.0877455 | − | 0.996143i | \(-0.527966\pi\) |
0.766425 | − | 0.642334i | \(-0.222034\pi\) | |||||||
\(882\) | 72.8577 | − | 3.56746i | 2.45325 | − | 0.120122i | ||||
\(883\) | −3.29897 | − | 33.4950i | −0.111019 | − | 1.12720i | −0.875723 | − | 0.482814i | \(-0.839615\pi\) |
0.764704 | − | 0.644382i | \(-0.222885\pi\) | |||||||
\(884\) | −0.226320 | + | 3.89250i | −0.00761196 | + | 0.130919i | ||||
\(885\) | −24.8026 | − | 39.8859i | −0.833731 | − | 1.34075i | ||||
\(886\) | 8.98829 | + | 20.5258i | 0.301967 | + | 0.689577i | ||||
\(887\) | −1.60252 | + | 24.4497i | −0.0538072 | + | 0.820940i | 0.882622 | + | 0.470083i | \(0.155776\pi\) |
−0.936429 | + | 0.350856i | \(0.885890\pi\) | |||||||
\(888\) | 18.1482 | + | 49.0054i | 0.609014 | + | 1.64451i | ||||
\(889\) | 2.64721 | + | 41.6154i | 0.0887846 | + | 1.39573i | ||||
\(890\) | 31.3449 | + | 34.3286i | 1.05068 | + | 1.15070i | ||||
\(891\) | 27.1631 | + | 59.9503i | 0.909999 | + | 2.00841i | ||||
\(892\) | 29.4830 | − | 28.0248i | 0.987164 | − | 0.938338i | ||||
\(893\) | 0.228581 | + | 0.244053i | 0.00764916 | + | 0.00816693i | ||||
\(894\) | −12.4189 | − | 0.157432i | −0.415350 | − | 0.00526530i | ||||
\(895\) | −39.7034 | −1.32714 | ||||||||
\(896\) | 0.754445 | − | 29.9237i | 0.0252042 | − | 0.999682i | ||||
\(897\) | 15.8326 | 0.528635 | ||||||||
\(898\) | 5.92036 | + | 0.0750511i | 0.197565 | + | 0.00250449i | ||||
\(899\) | 5.71064 | + | 6.09719i | 0.190461 | + | 0.203353i | ||||
\(900\) | 127.657 | + | 134.300i | 4.25525 | + | 4.47667i | ||||
\(901\) | −10.4229 | − | 23.0039i | −0.347238 | − | 0.766370i | ||||
\(902\) | 2.78680 | + | 3.05207i | 0.0927903 | + | 0.101623i | ||||
\(903\) | 39.5750 | + | 19.6110i | 1.31697 | + | 0.652612i | ||||
\(904\) | −16.9406 | + | 36.8674i | −0.563437 | + | 1.22619i | ||||
\(905\) | −3.58526 | + | 54.7004i | −0.119178 | + | 1.81830i | ||||
\(906\) | −6.06058 | − | 13.8400i | −0.201349 | − | 0.459805i | ||||
\(907\) | 22.1842 | + | 35.6751i | 0.736614 | + | 1.18457i | 0.976864 | + | 0.213861i | \(0.0686039\pi\) |
−0.240250 | + | 0.970711i | \(0.577229\pi\) | |||||||
\(908\) | 37.4288 | + | 2.17620i | 1.24212 | + | 0.0722199i | ||||
\(909\) | 1.53535 | + | 15.5887i | 0.0509243 | + | 0.517043i | ||||
\(910\) | 5.62054 | + | 8.68355i | 0.186319 | + | 0.287857i | ||||
\(911\) | 11.9029 | − | 28.7362i | 0.394362 | − | 0.952074i | −0.594616 | − | 0.804010i | \(-0.702696\pi\) |
0.988978 | − | 0.148064i | \(-0.0473041\pi\) | |||||||
\(912\) | 7.34368 | − | 4.38551i | 0.243174 | − | 0.145219i | ||||
\(913\) | −45.5929 | − | 6.00243i | −1.50891 | − | 0.198651i | ||||
\(914\) | −0.203580 | + | 2.60048i | −0.00673382 | + | 0.0860164i | ||||
\(915\) | 6.42649 | − | 38.9247i | 0.212453 | − | 1.28681i | ||||
\(916\) | −4.97905 | + | 12.2757i | −0.164512 | + | 0.405601i | ||||
\(917\) | 28.9941 | − | 8.73438i | 0.957469 | − | 0.288435i | ||||
\(918\) | −30.4201 | − | 50.3312i | −1.00401 | − | 1.66118i | ||||
\(919\) | 3.50691 | + | 3.99887i | 0.115682 | + | 0.131910i | 0.806782 | − | 0.590849i | \(-0.201207\pi\) |
−0.691100 | + | 0.722759i | \(0.742874\pi\) | |||||||
\(920\) | −79.0784 | − | 39.5199i | −2.60714 | − | 1.30293i | ||||
\(921\) | −3.02877 | + | 3.45366i | −0.0998015 | + | 0.113802i | ||||
\(922\) | −0.388148 | − | 4.52875i | −0.0127830 | − | 0.149146i | ||||
\(923\) | 5.89379 | − | 4.83691i | 0.193997 | − | 0.159209i | ||||
\(924\) | 10.7244 | − | 47.1548i | 0.352807 | − | 1.55128i | ||||
\(925\) | 34.0077 | + | 63.6239i | 1.11817 | + | 2.09194i | ||||
\(926\) | 10.4823 | − | 24.4262i | 0.344471 | − | 0.802693i | ||||
\(927\) | −32.0583 | + | 8.58999i | −1.05293 | + | 0.282132i | ||||
\(928\) | −4.85593 | + | 2.21232i | −0.159404 | + | 0.0726229i | ||||
\(929\) | 12.9556 | − | 48.3509i | 0.425059 | − | 1.58634i | −0.338737 | − | 0.940881i | \(-0.610000\pi\) |
0.763795 | − | 0.645459i | \(-0.223334\pi\) | |||||||
\(930\) | 167.318 | + | 24.1892i | 5.48656 | + | 0.793195i | ||||
\(931\) | 0.169976 | − | 4.64550i | 0.00557072 | − | 0.152250i | ||||
\(932\) | −14.3703 | + | 11.9718i | −0.470714 | + | 0.392149i | ||||
\(933\) | 10.9490 | − | 29.0908i | 0.358454 | − | 0.952389i | ||||
\(934\) | 2.96230 | − | 16.6281i | 0.0969294 | − | 0.544088i | ||||
\(935\) | 23.1908 | − | 26.4441i | 0.758422 | − | 0.864814i | ||||
\(936\) | 0.0728903 | − | 13.7440i | 0.00238249 | − | 0.449237i | ||||
\(937\) | 10.4459 | + | 52.5151i | 0.341253 | + | 1.71559i | 0.646152 | + | 0.763209i | \(0.276377\pi\) |
−0.304899 | + | 0.952385i | \(0.598623\pi\) | |||||||
\(938\) | 4.26338 | − | 4.42079i | 0.139204 | − | 0.144344i | ||||
\(939\) | 26.6458 | − | 8.08292i | 0.869554 | − | 0.263776i | ||||
\(940\) | −4.08565 | − | 1.06252i | −0.133259 | − | 0.0346557i | ||||
\(941\) | 31.7305 | − | 11.9425i | 1.03439 | − | 0.389315i | 0.223614 | − | 0.974678i | \(-0.428214\pi\) |
0.810772 | + | 0.585362i | \(0.199048\pi\) | |||||||
\(942\) | −4.04955 | − | 4.73744i | −0.131941 | − | 0.154354i | ||||
\(943\) | −4.67365 | + | 6.09082i | −0.152195 | + | 0.198344i | ||||
\(944\) | 8.67004 | − | 10.8880i | 0.282186 | − | 0.354373i | ||||
\(945\) | −144.025 | − | 59.9821i | −4.68514 | − | 1.95122i | ||||
\(946\) | 13.9175 | − | 15.4698i | 0.452496 | − | 0.502966i | ||||
\(947\) | −9.10974 | − | 12.7126i | −0.296027 | − | 0.413105i | 0.638152 | − | 0.769911i | \(-0.279699\pi\) |
−0.934179 | + | 0.356806i | \(0.883866\pi\) | |||||||
\(948\) | 65.8338 | − | 76.1950i | 2.13818 | − | 2.47470i | ||||
\(949\) | 1.65422 | + | 2.66020i | 0.0536983 | + | 0.0863539i | ||||
\(950\) | 9.22206 | − | 7.37472i | 0.299203 | − | 0.239268i | ||||
\(951\) | 4.83834 | − | 7.24109i | 0.156894 | − | 0.234808i | ||||
\(952\) | −2.32744 | + | 21.9997i | −0.0754328 | + | 0.713014i | ||||
\(953\) | 41.1496 | − | 27.4953i | 1.33296 | − | 0.890659i | 0.334308 | − | 0.942464i | \(-0.391498\pi\) |
0.998657 | + | 0.0518055i | \(0.0164976\pi\) | |||||||
\(954\) | 40.9668 | + | 79.0374i | 1.32635 | + | 2.55893i | ||||
\(955\) | 16.0231 | − | 22.3602i | 0.518494 | − | 0.723558i | ||||
\(956\) | −7.42062 | − | 19.2837i | −0.240000 | − | 0.623678i | ||||
\(957\) | −8.39566 | + | 1.95759i | −0.271393 | + | 0.0632800i | ||||
\(958\) | 42.6662 | − | 10.8546i | 1.37848 | − | 0.350697i | ||||
\(959\) | −19.1702 | + | 11.0188i | −0.619037 | + | 0.355815i | ||||
\(960\) | −48.7862 | + | 96.3390i | −1.57457 | + | 3.10933i | ||||
\(961\) | 41.0737 | − | 23.7139i | 1.32496 | − | 0.764964i | ||||
\(962\) | 1.45041 | − | 5.15093i | 0.0467632 | − | 0.166073i | ||||
\(963\) | −11.2397 | − | 12.0005i | −0.362195 | − | 0.386712i | ||||
\(964\) | 6.96842 | + | 9.57453i | 0.224438 | + | 0.308375i | ||||
\(965\) | −5.71724 | + | 58.0481i | −0.184045 | + | 1.86864i | ||||
\(966\) | 89.7300 | + | 4.24965i | 2.88702 | + | 0.136730i | ||||
\(967\) | 10.4385 | + | 15.6223i | 0.335678 | + | 0.502378i | 0.960459 | − | 0.278422i | \(-0.0898115\pi\) |
−0.624780 | + | 0.780801i | \(0.714811\pi\) | |||||||
\(968\) | 7.32464 | + | 3.96519i | 0.235423 | + | 0.127446i | ||||
\(969\) | −5.66962 | + | 2.79595i | −0.182135 | + | 0.0898188i | ||||
\(970\) | 20.7839 | − | 53.1672i | 0.667330 | − | 1.70710i | ||||
\(971\) | 51.3840 | − | 1.68214i | 1.64899 | − | 0.0539823i | 0.806001 | − | 0.591914i | \(-0.201627\pi\) |
0.842989 | + | 0.537931i | \(0.180794\pi\) | |||||||
\(972\) | 36.4776 | + | 53.7307i | 1.17002 | + | 1.72341i | ||||
\(973\) | 18.5466 | + | 8.44643i | 0.594578 | + | 0.270780i | ||||
\(974\) | 0.807149 | − | 0.897176i | 0.0258627 | − | 0.0287474i | ||||
\(975\) | −3.48491 | − | 26.4705i | −0.111607 | − | 0.847736i | ||||
\(976\) | 11.5052 | − | 2.07424i | 0.368274 | − | 0.0663947i | ||||
\(977\) | −4.83404 | − | 0.636414i | −0.154655 | − | 0.0203607i | 0.0528012 | − | 0.998605i | \(-0.483185\pi\) |
−0.207456 | + | 0.978244i | \(0.566518\pi\) | |||||||
\(978\) | 14.4503 | + | 77.7873i | 0.462070 | + | 2.48736i | ||||
\(979\) | −14.1183 | + | 17.2032i | −0.451222 | + | 0.549815i | ||||
\(980\) | 29.5232 | + | 50.7219i | 0.943083 | + | 1.62025i | ||||
\(981\) | 12.0811 | + | 39.8260i | 0.385720 | + | 1.27155i | ||||
\(982\) | −10.9943 | + | 3.18347i | −0.350842 | + | 0.101589i | ||||
\(983\) | 14.2618 | − | 42.0140i | 0.454882 | − | 1.34004i | −0.441700 | − | 0.897163i | \(-0.645624\pi\) |
0.896582 | − | 0.442877i | \(-0.146042\pi\) | |||||||
\(984\) | 7.40971 | + | 5.74836i | 0.236213 | + | 0.183251i | ||||
\(985\) | 18.2929 | + | 53.8893i | 0.582862 | + | 1.71706i | ||||
\(986\) | 3.70827 | − | 1.34228i | 0.118096 | − | 0.0427470i | ||||
\(987\) | 4.23373 | − | 0.690626i | 0.134761 | − | 0.0219829i | ||||
\(988\) | −0.872276 | − | 0.0794228i | −0.0277508 | − | 0.00252678i | ||||
\(989\) | 32.8252 | + | 20.4120i | 1.04378 | + | 0.649064i | ||||
\(990\) | −76.7166 | + | 97.3974i | −2.43821 | + | 3.09549i | ||||
\(991\) | −36.5332 | + | 9.78903i | −1.16051 | + | 0.310959i | −0.787171 | − | 0.616734i | \(-0.788455\pi\) |
−0.373343 | + | 0.927693i | \(0.621789\pi\) | |||||||
\(992\) | 9.87506 | + | 49.1139i | 0.313533 | + | 1.55937i | ||||
\(993\) | −39.8177 | + | 39.8177i | −1.26358 | + | 1.26358i | ||||
\(994\) | 34.7009 | − | 25.8309i | 1.10065 | − | 0.819305i | ||||
\(995\) | 0.362861 | − | 0.193953i | 0.0115035 | − | 0.00614873i | ||||
\(996\) | −104.263 | + | 4.18294i | −3.30370 | + | 0.132541i | ||||
\(997\) | 37.3884 | − | 6.17284i | 1.18410 | − | 0.195496i | 0.461742 | − | 0.887014i | \(-0.347224\pi\) |
0.722359 | + | 0.691518i | \(0.243058\pi\) | |||||||
\(998\) | 22.0831 | + | 31.6569i | 0.699029 | + | 1.00208i | ||||
\(999\) | 25.9444 | + | 76.4297i | 0.820844 | + | 2.41813i |
(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 | 896.2.bt.a.59.64 | ✓ | 4032 | |
7.5 | odd | 6 | inner | 896.2.bt.a.187.22 | yes | 4032 | |
128.115 | odd | 32 | inner | 896.2.bt.a.115.22 | yes | 4032 | |
896.243 | even | 96 | inner | 896.2.bt.a.243.64 | yes | 4032 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
896.2.bt.a.59.64 | ✓ | 4032 | 1.1 | even | 1 | trivial | |
896.2.bt.a.115.22 | yes | 4032 | 128.115 | odd | 32 | inner | |
896.2.bt.a.187.22 | yes | 4032 | 7.5 | odd | 6 | inner | |
896.2.bt.a.243.64 | yes | 4032 | 896.243 | even | 96 | inner |