Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [116,2,Mod(3,116)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(116, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([14, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("116.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 116 = 2^{2} \cdot 29 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 116.l (of order \(28\), degree \(12\), 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: | \(0.926264663447\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{28})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 31.2 | ||
Character | \(\chi\) | \(=\) | 116.31 |
Dual form | 116.2.l.b.15.2 |
$q$-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 \(\left(\mathbb{Z}/116\mathbb{Z}\right)^\times\).
\(n\) | \(59\) | \(89\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{28}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.16318 | − | 0.804373i | −0.822491 | − | 0.568778i | ||||
\(3\) | 0.564706 | − | 0.898725i | 0.326033 | − | 0.518879i | −0.642982 | − | 0.765882i | \(-0.722303\pi\) |
0.969015 | + | 0.247003i | \(0.0794457\pi\) | |||||||
\(4\) | 0.705968 | + | 1.87126i | 0.352984 | + | 0.935629i | ||||
\(5\) | 1.84963 | − | 1.47503i | 0.827181 | − | 0.659655i | −0.115516 | − | 0.993306i | \(-0.536852\pi\) |
0.942697 | + | 0.333651i | \(0.108281\pi\) | |||||||
\(6\) | −1.37976 | + | 0.591143i | −0.563286 | + | 0.241333i | ||||
\(7\) | −0.762672 | + | 0.174075i | −0.288263 | + | 0.0657941i | −0.364207 | − | 0.931318i | \(-0.618660\pi\) |
0.0759443 | + | 0.997112i | \(0.475803\pi\) | |||||||
\(8\) | 0.684023 | − | 2.74447i | 0.241839 | − | 0.970316i | ||||
\(9\) | 0.812838 | + | 1.68788i | 0.270946 | + | 0.562625i | ||||
\(10\) | −3.33793 | + | 0.227932i | −1.05555 | + | 0.0720783i | ||||
\(11\) | −1.41065 | − | 4.03140i | −0.425326 | − | 1.21551i | −0.934846 | − | 0.355054i | \(-0.884463\pi\) |
0.509520 | − | 0.860459i | \(-0.329823\pi\) | |||||||
\(12\) | 2.08041 | + | 0.422240i | 0.600563 | + | 0.121890i | ||||
\(13\) | 1.14835 | − | 2.38457i | 0.318495 | − | 0.661361i | −0.678843 | − | 0.734284i | \(-0.737518\pi\) |
0.997338 | + | 0.0729223i | \(0.0232325\pi\) | |||||||
\(14\) | 1.02714 | + | 0.410993i | 0.274516 | + | 0.109842i | ||||
\(15\) | −0.281149 | − | 2.49527i | −0.0725925 | − | 0.644276i | ||||
\(16\) | −3.00322 | + | 2.64210i | −0.750804 | + | 0.660524i | ||||
\(17\) | −0.864876 | + | 0.864876i | −0.209763 | + | 0.209763i | −0.804167 | − | 0.594404i | \(-0.797388\pi\) |
0.594404 | + | 0.804167i | \(0.297388\pi\) | |||||||
\(18\) | 0.412206 | − | 2.61713i | 0.0971579 | − | 0.616862i | ||||
\(19\) | −3.53894 | + | 2.22366i | −0.811889 | + | 0.510143i | −0.872845 | − | 0.487997i | \(-0.837728\pi\) |
0.0609567 | + | 0.998140i | \(0.480585\pi\) | |||||||
\(20\) | 4.06595 | + | 2.41981i | 0.909174 | + | 0.541087i | ||||
\(21\) | −0.274240 | + | 0.783733i | −0.0598441 | + | 0.171025i | ||||
\(22\) | −1.60191 | + | 5.82392i | −0.341529 | + | 1.24166i | ||||
\(23\) | 5.08465 | + | 4.05487i | 1.06022 | + | 0.845499i | 0.988393 | − | 0.151918i | \(-0.0485448\pi\) |
0.0718295 | + | 0.997417i | \(0.477116\pi\) | |||||||
\(24\) | −2.08025 | − | 2.16457i | −0.424629 | − | 0.441840i | ||||
\(25\) | 0.132814 | − | 0.581895i | 0.0265628 | − | 0.116379i | ||||
\(26\) | −3.25382 | + | 1.84998i | −0.638127 | + | 0.362811i | ||||
\(27\) | 5.14017 | + | 0.579158i | 0.989226 | + | 0.111459i | ||||
\(28\) | −0.864161 | − | 1.30427i | −0.163311 | − | 0.246483i | ||||
\(29\) | 1.27027 | + | 5.23320i | 0.235882 | + | 0.971782i | ||||
\(30\) | −1.68010 | + | 3.12859i | −0.306743 | + | 0.571200i | ||||
\(31\) | −0.840478 | + | 7.45945i | −0.150954 | + | 1.33976i | 0.658503 | + | 0.752578i | \(0.271190\pi\) |
−0.809458 | + | 0.587178i | \(0.800239\pi\) | |||||||
\(32\) | 5.61851 | − | 0.657524i | 0.993222 | − | 0.116235i | ||||
\(33\) | −4.41972 | − | 1.00877i | −0.769375 | − | 0.175605i | ||||
\(34\) | 1.70169 | − | 0.310322i | 0.291837 | − | 0.0532198i | ||||
\(35\) | −1.15390 | + | 1.44694i | −0.195044 | + | 0.244578i | ||||
\(36\) | −2.58461 | + | 2.71262i | −0.430769 | + | 0.452103i | ||||
\(37\) | −3.11215 | − | 1.08899i | −0.511634 | − | 0.179028i | 0.0621005 | − | 0.998070i | \(-0.480220\pi\) |
−0.573734 | + | 0.819042i | \(0.694506\pi\) | |||||||
\(38\) | 5.90507 | + | 0.260111i | 0.957930 | + | 0.0421955i | ||||
\(39\) | −1.49459 | − | 2.37863i | −0.239327 | − | 0.380886i | ||||
\(40\) | −2.78299 | − | 6.08522i | −0.440029 | − | 0.962157i | ||||
\(41\) | −6.22325 | − | 6.22325i | −0.971908 | − | 0.971908i | 0.0277078 | − | 0.999616i | \(-0.491179\pi\) |
−0.999616 | + | 0.0277078i | \(0.991179\pi\) | |||||||
\(42\) | 0.949404 | − | 0.691030i | 0.146496 | − | 0.106628i | ||||
\(43\) | −2.71002 | + | 0.305346i | −0.413274 | + | 0.0465648i | −0.316154 | − | 0.948708i | \(-0.602392\pi\) |
−0.0971199 | + | 0.995273i | \(0.530963\pi\) | |||||||
\(44\) | 6.54792 | − | 5.48573i | 0.987136 | − | 0.827004i | ||||
\(45\) | 3.99312 | + | 1.92299i | 0.595260 | + | 0.286662i | ||||
\(46\) | −2.65272 | − | 8.80650i | −0.391123 | − | 1.29845i | ||||
\(47\) | 5.74030 | − | 2.00862i | 0.837309 | − | 0.292987i | 0.122641 | − | 0.992451i | \(-0.460863\pi\) |
0.714668 | + | 0.699464i | \(0.246578\pi\) | |||||||
\(48\) | 0.678583 | + | 4.19108i | 0.0979450 | + | 0.604930i | ||||
\(49\) | −5.75542 | + | 2.77166i | −0.822202 | + | 0.395952i | ||||
\(50\) | −0.622547 | + | 0.570016i | −0.0880415 | + | 0.0806125i | ||||
\(51\) | 0.288885 | + | 1.26569i | 0.0404519 | + | 0.177232i | ||||
\(52\) | 5.27285 | + | 0.465427i | 0.731213 | + | 0.0645431i | ||||
\(53\) | −1.82511 | − | 2.28861i | −0.250698 | − | 0.314365i | 0.640519 | − | 0.767942i | \(-0.278719\pi\) |
−0.891217 | + | 0.453577i | \(0.850148\pi\) | |||||||
\(54\) | −5.51308 | − | 4.80828i | −0.750235 | − | 0.654324i | ||||
\(55\) | −8.55563 | − | 5.37586i | −1.15364 | − | 0.724880i | ||||
\(56\) | −0.0439420 | + | 2.21220i | −0.00587199 | + | 0.295618i | ||||
\(57\) | 4.43625i | 0.587596i | ||||||||
\(58\) | 2.73190 | − | 7.10892i | 0.358716 | − | 0.933447i | ||||
\(59\) | 3.52748i | 0.459239i | 0.973280 | + | 0.229620i | \(0.0737482\pi\) | ||||
−0.973280 | + | 0.229620i | \(0.926252\pi\) | |||||||
\(60\) | 4.47081 | − | 2.28768i | 0.577180 | − | 0.295339i | ||||
\(61\) | 6.36950 | + | 4.00222i | 0.815530 | + | 0.512432i | 0.874039 | − | 0.485855i | \(-0.161492\pi\) |
−0.0585089 | + | 0.998287i | \(0.518635\pi\) | |||||||
\(62\) | 6.97780 | − | 8.00061i | 0.886182 | − | 1.01608i | ||||
\(63\) | −0.913746 | − | 1.14580i | −0.115121 | − | 0.144357i | ||||
\(64\) | −7.06422 | − | 3.75456i | −0.883028 | − | 0.469320i | ||||
\(65\) | −1.39330 | − | 6.10443i | −0.172817 | − | 0.757162i | ||||
\(66\) | 4.32949 | + | 4.72849i | 0.532924 | + | 0.582036i | ||||
\(67\) | 10.8668 | − | 5.23315i | 1.32759 | − | 0.639332i | 0.370418 | − | 0.928865i | \(-0.379214\pi\) |
0.957168 | + | 0.289534i | \(0.0935002\pi\) | |||||||
\(68\) | −2.22898 | − | 1.00783i | −0.270304 | − | 0.122218i | ||||
\(69\) | 6.51555 | − | 2.27989i | 0.784380 | − | 0.274466i | ||||
\(70\) | 2.50607 | − | 0.754887i | 0.299532 | − | 0.0902262i | ||||
\(71\) | −7.65922 | − | 3.68849i | −0.908983 | − | 0.437743i | −0.0798577 | − | 0.996806i | \(-0.525447\pi\) |
−0.829125 | + | 0.559063i | \(0.811161\pi\) | |||||||
\(72\) | 5.18832 | − | 1.07626i | 0.611450 | − | 0.126839i | ||||
\(73\) | −2.76358 | + | 0.311381i | −0.323452 | + | 0.0364443i | −0.272198 | − | 0.962241i | \(-0.587751\pi\) |
−0.0512545 | + | 0.998686i | \(0.516322\pi\) | |||||||
\(74\) | 2.74403 | + | 3.77001i | 0.318987 | + | 0.438255i | ||||
\(75\) | −0.447963 | − | 0.447963i | −0.0517263 | − | 0.0517263i | ||||
\(76\) | −6.65943 | − | 5.05244i | −0.763889 | − | 0.579554i | ||||
\(77\) | 1.77763 | + | 2.82908i | 0.202579 | + | 0.322403i | ||||
\(78\) | −0.174828 | + | 3.96899i | −0.0197954 | + | 0.449399i | ||||
\(79\) | 10.5334 | + | 3.68581i | 1.18510 | + | 0.414686i | 0.849638 | − | 0.527366i | \(-0.176820\pi\) |
0.335466 | + | 0.942052i | \(0.391106\pi\) | |||||||
\(80\) | −1.65767 | + | 9.31675i | −0.185333 | + | 1.04164i | ||||
\(81\) | −0.0809487 | + | 0.101507i | −0.00899430 | + | 0.0112785i | ||||
\(82\) | 2.23294 | + | 12.2446i | 0.246586 | + | 1.35219i | ||||
\(83\) | −17.0310 | − | 3.88722i | −1.86940 | − | 0.426678i | −0.871438 | − | 0.490505i | \(-0.836812\pi\) |
−0.997961 | + | 0.0638270i | \(0.979669\pi\) | |||||||
\(84\) | −1.66017 | + | 0.0401165i | −0.181140 | + | 0.00437707i | ||||
\(85\) | −0.323982 | + | 2.87542i | −0.0351408 | + | 0.311883i | ||||
\(86\) | 3.39785 | + | 1.82469i | 0.366399 | + | 0.196762i | ||||
\(87\) | 5.42054 | + | 1.81360i | 0.581143 | + | 0.194439i | ||||
\(88\) | −12.0290 | + | 1.11391i | −1.28229 | + | 0.118743i | ||||
\(89\) | −13.9596 | − | 1.57287i | −1.47971 | − | 0.166723i | −0.665111 | − | 0.746745i | \(-0.731616\pi\) |
−0.814601 | + | 0.580021i | \(0.803044\pi\) | |||||||
\(90\) | −3.09792 | − | 5.44874i | −0.326549 | − | 0.574347i | ||||
\(91\) | −0.460720 | + | 2.01855i | −0.0482966 | + | 0.211601i | ||||
\(92\) | −3.99812 | + | 12.3773i | −0.416832 | + | 1.29042i | ||||
\(93\) | 6.22937 | + | 4.96775i | 0.645955 | + | 0.515132i | ||||
\(94\) | −8.29268 | − | 2.28096i | −0.855324 | − | 0.235263i | ||||
\(95\) | −3.26576 | + | 9.33301i | −0.335060 | + | 0.957547i | ||||
\(96\) | 2.58187 | − | 5.42080i | 0.263512 | − | 0.553258i | ||||
\(97\) | −4.13360 | + | 2.59731i | −0.419704 | + | 0.263717i | −0.725285 | − | 0.688449i | \(-0.758292\pi\) |
0.305581 | + | 0.952166i | \(0.401149\pi\) | |||||||
\(98\) | 8.92403 | + | 1.40556i | 0.901463 | + | 0.141983i | ||||
\(99\) | 5.65787 | − | 5.65787i | 0.568638 | − | 0.568638i | ||||
\(100\) | 1.18264 | − | 0.162271i | 0.118264 | − | 0.0162271i | ||||
\(101\) | −0.829336 | − | 7.36056i | −0.0825221 | − | 0.732403i | −0.965036 | − | 0.262117i | \(-0.915579\pi\) |
0.882514 | − | 0.470286i | \(-0.155849\pi\) | |||||||
\(102\) | 0.682059 | − | 1.70459i | 0.0675339 | − | 0.168780i | ||||
\(103\) | −1.90204 | + | 3.94962i | −0.187413 | + | 0.389168i | −0.973412 | − | 0.229060i | \(-0.926435\pi\) |
0.785999 | + | 0.618228i | \(0.212149\pi\) | |||||||
\(104\) | −5.75889 | − | 4.78271i | −0.564705 | − | 0.468984i | ||||
\(105\) | 0.648789 | + | 1.85413i | 0.0633153 | + | 0.180945i | ||||
\(106\) | 0.282028 | + | 4.13013i | 0.0273929 | + | 0.401154i | ||||
\(107\) | 5.51421 | + | 11.4504i | 0.533079 | + | 1.10695i | 0.977462 | + | 0.211113i | \(0.0677087\pi\) |
−0.444383 | + | 0.895837i | \(0.646577\pi\) | |||||||
\(108\) | 2.54504 | + | 10.0275i | 0.244897 | + | 0.964892i | ||||
\(109\) | 14.0554 | − | 3.20806i | 1.34626 | − | 0.307276i | 0.512164 | − | 0.858888i | \(-0.328844\pi\) |
0.834101 | + | 0.551612i | \(0.185987\pi\) | |||||||
\(110\) | 5.62753 | + | 13.1350i | 0.536564 | + | 1.25237i | ||||
\(111\) | −2.73615 | + | 2.18201i | −0.259704 | + | 0.207107i | ||||
\(112\) | 1.83055 | − | 2.53784i | 0.172970 | − | 0.239803i | ||||
\(113\) | 10.5606 | − | 16.8071i | 0.993457 | − | 1.58108i | 0.193431 | − | 0.981114i | \(-0.438038\pi\) |
0.800027 | − | 0.599965i | \(-0.204819\pi\) | |||||||
\(114\) | 3.56840 | − | 5.16015i | 0.334211 | − | 0.483292i | ||||
\(115\) | 15.3858 | 1.43473 | ||||||||
\(116\) | −8.89591 | + | 6.07147i | −0.825965 | + | 0.563722i | ||||
\(117\) | 4.95828 | 0.458394 | ||||||||
\(118\) | 2.83741 | − | 4.10309i | 0.261205 | − | 0.377720i | ||||
\(119\) | 0.509063 | − | 0.810170i | 0.0466658 | − | 0.0742681i | ||||
\(120\) | −7.04051 | − | 0.935216i | −0.642707 | − | 0.0853732i | ||||
\(121\) | −5.66211 | + | 4.51538i | −0.514738 | + | 0.410489i | ||||
\(122\) | −4.18958 | − | 9.77875i | −0.379307 | − | 0.885326i | ||||
\(123\) | −9.10730 | + | 2.07868i | −0.821177 | + | 0.187428i | ||||
\(124\) | −14.5519 | + | 3.69338i | −1.30680 | + | 0.331675i | ||||
\(125\) | 4.51968 | + | 9.38522i | 0.404253 | + | 0.839440i | ||||
\(126\) | 0.141198 | + | 2.06776i | 0.0125789 | + | 0.184211i | ||||
\(127\) | −6.44697 | − | 18.4244i | −0.572076 | − | 1.63490i | −0.757941 | − | 0.652323i | \(-0.773795\pi\) |
0.185865 | − | 0.982575i | \(-0.440491\pi\) | |||||||
\(128\) | 5.19689 | + | 10.0495i | 0.459344 | + | 0.888258i | ||||
\(129\) | −1.25594 | + | 2.60799i | −0.110580 | + | 0.229621i | ||||
\(130\) | −3.28959 | + | 8.22128i | −0.288516 | + | 0.721054i | ||||
\(131\) | −1.29608 | − | 11.5030i | −0.113239 | − | 1.00503i | −0.913909 | − | 0.405920i | \(-0.866951\pi\) |
0.800670 | − | 0.599106i | \(-0.204477\pi\) | |||||||
\(132\) | −1.23251 | − | 8.98260i | −0.107276 | − | 0.781835i | ||||
\(133\) | 2.31197 | − | 2.31197i | 0.200473 | − | 0.200473i | ||||
\(134\) | −16.8494 | − | 2.65383i | −1.45557 | − | 0.229256i | ||||
\(135\) | 10.3617 | − | 6.51069i | 0.891793 | − | 0.560351i | ||||
\(136\) | 1.78203 | + | 2.96522i | 0.152808 | + | 0.254266i | ||||
\(137\) | 1.14587 | − | 3.27470i | 0.0978980 | − | 0.279777i | −0.884511 | − | 0.466520i | \(-0.845508\pi\) |
0.982409 | + | 0.186743i | \(0.0597933\pi\) | |||||||
\(138\) | −9.41263 | − | 2.58901i | −0.801256 | − | 0.220391i | ||||
\(139\) | −5.03820 | − | 4.01783i | −0.427334 | − | 0.340788i | 0.386087 | − | 0.922462i | \(-0.373826\pi\) |
−0.813422 | + | 0.581674i | \(0.802398\pi\) | |||||||
\(140\) | −3.52221 | − | 1.13774i | −0.297681 | − | 0.0961570i | ||||
\(141\) | 1.43639 | − | 6.29323i | 0.120966 | − | 0.529986i | ||||
\(142\) | 5.94212 | + | 10.4512i | 0.498652 | + | 0.877049i | ||||
\(143\) | −11.2331 | − | 1.26566i | −0.939358 | − | 0.105840i | ||||
\(144\) | −6.90066 | − | 2.92146i | −0.575055 | − | 0.243455i | ||||
\(145\) | 10.0687 | + | 7.80582i | 0.836158 | + | 0.648238i | ||||
\(146\) | 3.46500 | + | 1.86076i | 0.286766 | + | 0.153997i | ||||
\(147\) | −0.759158 | + | 6.73771i | −0.0626143 | + | 0.555717i | ||||
\(148\) | −0.159300 | − | 6.59242i | −0.0130943 | − | 0.541894i | ||||
\(149\) | −6.02225 | − | 1.37454i | −0.493362 | − | 0.112607i | −0.0314010 | − | 0.999507i | \(-0.509997\pi\) |
−0.461961 | + | 0.886900i | \(0.652854\pi\) | |||||||
\(150\) | 0.160732 | + | 0.881390i | 0.0131237 | + | 0.0719652i | ||||
\(151\) | 4.92919 | − | 6.18101i | 0.401132 | − | 0.503003i | −0.539709 | − | 0.841851i | \(-0.681466\pi\) |
0.940841 | + | 0.338848i | \(0.110037\pi\) | |||||||
\(152\) | 3.68206 | + | 11.2336i | 0.298655 | + | 0.911161i | ||||
\(153\) | −2.16281 | − | 0.756799i | −0.174853 | − | 0.0611836i | ||||
\(154\) | 0.207936 | − | 4.72060i | 0.0167560 | − | 0.380397i | ||||
\(155\) | 9.44835 | + | 15.0370i | 0.758910 | + | 1.20780i | ||||
\(156\) | 3.39590 | − | 4.47601i | 0.271890 | − | 0.358368i | ||||
\(157\) | 10.1649 | + | 10.1649i | 0.811243 | + | 0.811243i | 0.984820 | − | 0.173577i | \(-0.0555325\pi\) |
−0.173577 | + | 0.984820i | \(0.555533\pi\) | |||||||
\(158\) | −9.28750 | − | 12.7601i | −0.738874 | − | 1.01514i | ||||
\(159\) | −3.08748 | + | 0.347876i | −0.244853 | + | 0.0275883i | ||||
\(160\) | 9.42231 | − | 9.50366i | 0.744899 | − | 0.751331i | ||||
\(161\) | −4.58377 | − | 2.20743i | −0.361252 | − | 0.173970i | ||||
\(162\) | 0.175807 | − | 0.0529572i | 0.0138127 | − | 0.00416071i | ||||
\(163\) | −9.48396 | + | 3.31858i | −0.742841 | + | 0.259931i | −0.675054 | − | 0.737769i | \(-0.735880\pi\) |
−0.0677872 | + | 0.997700i | \(0.521594\pi\) | |||||||
\(164\) | 7.25189 | − | 16.0387i | 0.566278 | − | 1.25241i | ||||
\(165\) | −9.66283 | + | 4.65337i | −0.752250 | + | 0.362265i | ||||
\(166\) | 16.6834 | + | 18.2208i | 1.29488 | + | 1.41421i | ||||
\(167\) | −2.37234 | − | 10.3939i | −0.183577 | − | 0.804305i | −0.979909 | − | 0.199445i | \(-0.936086\pi\) |
0.796332 | − | 0.604860i | \(-0.206771\pi\) | |||||||
\(168\) | 1.96335 | + | 1.28874i | 0.151475 | + | 0.0994281i | ||||
\(169\) | 3.73789 | + | 4.68716i | 0.287530 | + | 0.360551i | ||||
\(170\) | 2.68976 | − | 3.08403i | 0.206295 | − | 0.236534i | ||||
\(171\) | −6.62985 | − | 4.16581i | −0.506998 | − | 0.318568i | ||||
\(172\) | −2.48457 | − | 4.85558i | −0.189446 | − | 0.370234i | ||||
\(173\) | − | 8.38639i | − | 0.637605i | −0.947821 | − | 0.318803i | \(-0.896719\pi\) | ||
0.947821 | − | 0.318803i | \(-0.103281\pi\) | |||||||
\(174\) | −4.84624 | − | 6.46968i | −0.367392 | − | 0.490465i | ||||
\(175\) | 0.466915i | 0.0352954i | ||||||||
\(176\) | 14.8878 | + | 8.38010i | 1.12221 | + | 0.631674i | ||||
\(177\) | 3.17024 | + | 1.99199i | 0.238290 | + | 0.149727i | ||||
\(178\) | 14.9723 | + | 13.0582i | 1.12222 | + | 0.978756i | ||||
\(179\) | 0.514989 | + | 0.645776i | 0.0384921 | + | 0.0482676i | 0.800705 | − | 0.599059i | \(-0.204458\pi\) |
−0.762213 | + | 0.647326i | \(0.775887\pi\) | |||||||
\(180\) | −0.779388 | + | 8.82973i | −0.0580921 | + | 0.658129i | ||||
\(181\) | −4.91769 | − | 21.5458i | −0.365529 | − | 1.60149i | −0.738907 | − | 0.673808i | \(-0.764658\pi\) |
0.373378 | − | 0.927679i | \(-0.378199\pi\) | |||||||
\(182\) | 2.15956 | − | 1.97734i | 0.160077 | − | 0.146570i | ||||
\(183\) | 7.19379 | − | 3.46435i | 0.531780 | − | 0.256092i | ||||
\(184\) | 14.6065 | − | 11.1810i | 1.07680 | − | 0.824277i | ||||
\(185\) | −7.36262 | + | 2.57629i | −0.541310 | + | 0.189413i | ||||
\(186\) | −3.24994 | − | 10.7891i | −0.238297 | − | 0.791097i | ||||
\(187\) | 4.70670 | + | 2.26663i | 0.344188 | + | 0.165752i | ||||
\(188\) | 7.81112 | + | 9.32357i | 0.569684 | + | 0.679991i | ||||
\(189\) | −4.02108 | + | 0.453067i | −0.292491 | + | 0.0329558i | ||||
\(190\) | 11.3059 | − | 8.22907i | 0.820215 | − | 0.596999i | ||||
\(191\) | 10.4717 | + | 10.4717i | 0.757709 | + | 0.757709i | 0.975905 | − | 0.218196i | \(-0.0700172\pi\) |
−0.218196 | + | 0.975905i | \(0.570017\pi\) | |||||||
\(192\) | −7.36353 | + | 4.22857i | −0.531417 | + | 0.305171i | ||||
\(193\) | 2.21317 | + | 3.52224i | 0.159307 | + | 0.253536i | 0.916835 | − | 0.399267i | \(-0.130735\pi\) |
−0.757527 | + | 0.652804i | \(0.773593\pi\) | |||||||
\(194\) | 6.89733 | + | 0.303818i | 0.495199 | + | 0.0218129i | ||||
\(195\) | −6.27301 | − | 2.19502i | −0.449220 | − | 0.157189i | ||||
\(196\) | −9.24964 | − | 8.81317i | −0.660688 | − | 0.629512i | ||||
\(197\) | −7.23081 | + | 9.06714i | −0.515174 | + | 0.646007i | −0.969576 | − | 0.244789i | \(-0.921281\pi\) |
0.454403 | + | 0.890796i | \(0.349853\pi\) | |||||||
\(198\) | −11.1322 | + | 2.03008i | −0.791128 | + | 0.144271i | ||||
\(199\) | 1.75033 | + | 0.399501i | 0.124078 | + | 0.0283199i | 0.284109 | − | 0.958792i | \(-0.408302\pi\) |
−0.160031 | + | 0.987112i | \(0.551159\pi\) | |||||||
\(200\) | −1.50615 | − | 0.762533i | −0.106501 | − | 0.0539192i | ||||
\(201\) | 1.43336 | − | 12.7214i | 0.101101 | − | 0.897300i | ||||
\(202\) | −4.95597 | + | 9.22875i | −0.348701 | + | 0.649332i | ||||
\(203\) | −1.87977 | − | 3.77010i | −0.131934 | − | 0.264609i | ||||
\(204\) | −2.16448 | + | 1.43411i | −0.151544 | + | 0.100408i | ||||
\(205\) | −20.6902 | − | 2.33123i | −1.44507 | − | 0.162820i | ||||
\(206\) | 5.38938 | − | 3.06417i | 0.375496 | − | 0.213491i | ||||
\(207\) | −2.71112 | + | 11.8782i | −0.188436 | + | 0.825593i | ||||
\(208\) | 2.85153 | + | 10.1954i | 0.197718 | + | 0.706927i | ||||
\(209\) | 13.9567 | + | 11.1301i | 0.965404 | + | 0.769884i | ||||
\(210\) | 0.736756 | − | 2.67855i | 0.0508410 | − | 0.184838i | ||||
\(211\) | −3.01995 | + | 8.63052i | −0.207902 | + | 0.594150i | −0.999865 | − | 0.0164191i | \(-0.994773\pi\) |
0.791963 | + | 0.610569i | \(0.209059\pi\) | |||||||
\(212\) | 2.99412 | − | 5.03093i | 0.205637 | − | 0.345526i | ||||
\(213\) | −7.64015 | + | 4.80062i | −0.523494 | + | 0.328933i | ||||
\(214\) | 2.79636 | − | 17.7543i | 0.191155 | − | 1.21366i | ||||
\(215\) | −4.56214 | + | 4.56214i | −0.311135 | + | 0.311135i | ||||
\(216\) | 5.10548 | − | 13.7109i | 0.347384 | − | 0.932907i | ||||
\(217\) | −0.657494 | − | 5.83542i | −0.0446336 | − | 0.396134i | ||||
\(218\) | −18.9294 | − | 7.57425i | −1.28206 | − | 0.512993i | ||||
\(219\) | −1.28076 | + | 2.65954i | −0.0865461 | + | 0.179715i | ||||
\(220\) | 4.01962 | − | 19.8050i | 0.271003 | − | 1.33525i | ||||
\(221\) | 1.06918 | + | 3.05554i | 0.0719208 | + | 0.205538i | ||||
\(222\) | 4.93777 | − | 0.337178i | 0.331402 | − | 0.0226299i | ||||
\(223\) | −2.59602 | − | 5.39069i | −0.173842 | − | 0.360987i | 0.795783 | − | 0.605582i | \(-0.207060\pi\) |
−0.969626 | + | 0.244594i | \(0.921345\pi\) | |||||||
\(224\) | −4.17062 | + | 1.47952i | −0.278661 | + | 0.0988544i | ||||
\(225\) | 1.09012 | − | 0.248813i | 0.0726749 | − | 0.0165876i | ||||
\(226\) | −25.8030 | + | 11.0550i | −1.71639 | + | 0.735367i | ||||
\(227\) | 10.5305 | − | 8.39779i | 0.698933 | − | 0.557381i | −0.208271 | − | 0.978071i | \(-0.566784\pi\) |
0.907204 | + | 0.420690i | \(0.138212\pi\) | |||||||
\(228\) | −8.30137 | + | 3.13185i | −0.549772 | + | 0.207412i | ||||
\(229\) | −4.22508 | + | 6.72418i | −0.279201 | + | 0.444346i | −0.956657 | − | 0.291217i | \(-0.905940\pi\) |
0.677456 | + | 0.735564i | \(0.263083\pi\) | |||||||
\(230\) | −17.8964 | − | 12.3759i | −1.18006 | − | 0.816044i | ||||
\(231\) | 3.54640 | 0.233336 | ||||||||
\(232\) | 15.2313 | + | 0.0934259i | 0.999981 | + | 0.00613371i | ||||
\(233\) | −19.6364 | −1.28642 | −0.643212 | − | 0.765688i | \(-0.722399\pi\) | ||||
−0.643212 | + | 0.765688i | \(0.722399\pi\) | |||||||
\(234\) | −5.76737 | − | 3.98831i | −0.377025 | − | 0.260724i | ||||
\(235\) | 7.65467 | − | 12.1823i | 0.499336 | − | 0.794688i | ||||
\(236\) | −6.60083 | + | 2.49029i | −0.429678 | + | 0.162104i | ||||
\(237\) | 9.26083 | − | 7.38526i | 0.601555 | − | 0.479724i | ||||
\(238\) | −1.24381 | + | 0.532895i | −0.0806242 | + | 0.0345425i | ||||
\(239\) | −10.6771 | + | 2.43699i | −0.690647 | + | 0.157636i | −0.553418 | − | 0.832904i | \(-0.686677\pi\) |
−0.137229 | + | 0.990539i | \(0.543820\pi\) | |||||||
\(240\) | 7.43710 | + | 6.75102i | 0.480063 | + | 0.435776i | ||||
\(241\) | 10.5630 | + | 21.9343i | 0.680424 | + | 1.41291i | 0.899375 | + | 0.437179i | \(0.144022\pi\) |
−0.218951 | + | 0.975736i | \(0.570263\pi\) | |||||||
\(242\) | 10.2181 | − | 0.697747i | 0.656844 | − | 0.0448529i | ||||
\(243\) | 5.17081 | + | 14.7773i | 0.331708 | + | 0.947966i | ||||
\(244\) | −2.99253 | + | 14.7444i | −0.191577 | + | 0.943914i | ||||
\(245\) | −6.55711 | + | 13.6160i | −0.418918 | + | 0.869893i | ||||
\(246\) | 12.2654 | + | 4.90779i | 0.782016 | + | 0.312909i | ||||
\(247\) | 1.23855 | + | 10.9924i | 0.0788068 | + | 0.699430i | ||||
\(248\) | 19.8973 | + | 7.40910i | 1.26348 | + | 0.470478i | ||||
\(249\) | −13.1111 | + | 13.1111i | −0.830881 | + | 0.830881i | ||||
\(250\) | 2.29202 | − | 14.5522i | 0.144960 | − | 0.920362i | ||||
\(251\) | 12.0771 | − | 7.58855i | 0.762301 | − | 0.478985i | −0.0939302 | − | 0.995579i | \(-0.529943\pi\) |
0.856231 | + | 0.516594i | \(0.172800\pi\) | |||||||
\(252\) | 1.49901 | − | 2.51875i | 0.0944290 | − | 0.158667i | ||||
\(253\) | 9.17416 | − | 26.2183i | 0.576775 | − | 1.64833i | ||||
\(254\) | −7.32109 | + | 26.6166i | −0.459366 | + | 1.67007i | ||||
\(255\) | 2.40126 | + | 1.91494i | 0.150373 | + | 0.119918i | ||||
\(256\) | 2.03864 | − | 15.8696i | 0.127415 | − | 0.991850i | ||||
\(257\) | 4.02815 | − | 17.6485i | 0.251269 | − | 1.10088i | −0.679039 | − | 0.734103i | \(-0.737603\pi\) |
0.930308 | − | 0.366780i | \(-0.119540\pi\) | |||||||
\(258\) | 3.55868 | − | 2.02331i | 0.221554 | − | 0.125966i | ||||
\(259\) | 2.56311 | + | 0.288793i | 0.159264 | + | 0.0179447i | ||||
\(260\) | 10.4394 | − | 6.91676i | 0.647421 | − | 0.428959i | ||||
\(261\) | −7.80048 | + | 6.39780i | −0.482837 | + | 0.396014i | ||||
\(262\) | −7.74517 | + | 14.4226i | −0.478498 | + | 0.891033i | ||||
\(263\) | −1.71506 | + | 15.2215i | −0.105755 | + | 0.938600i | 0.823034 | + | 0.567992i | \(0.192279\pi\) |
−0.928789 | + | 0.370609i | \(0.879149\pi\) | |||||||
\(264\) | −5.79174 | + | 11.4398i | −0.356457 | + | 0.704069i | ||||
\(265\) | −6.75155 | − | 1.54100i | −0.414745 | − | 0.0946627i | ||||
\(266\) | −4.54891 | + | 0.829546i | −0.278912 | + | 0.0508627i | ||||
\(267\) | −9.29663 | + | 11.6576i | −0.568945 | + | 0.713434i | ||||
\(268\) | 17.4642 | + | 16.6401i | 1.06679 | + | 1.01645i | ||||
\(269\) | −6.80604 | − | 2.38153i | −0.414971 | − | 0.145205i | 0.114715 | − | 0.993398i | \(-0.463405\pi\) |
−0.529686 | + | 0.848194i | \(0.677690\pi\) | |||||||
\(270\) | −17.2895 | − | 0.761580i | −1.05221 | − | 0.0463483i | ||||
\(271\) | 6.93414 | + | 11.0356i | 0.421219 | + | 0.670366i | 0.988166 | − | 0.153388i | \(-0.0490184\pi\) |
−0.566947 | + | 0.823754i | \(0.691876\pi\) | |||||||
\(272\) | 0.312324 | − | 4.88250i | 0.0189374 | − | 0.296045i | ||||
\(273\) | 1.55395 | + | 1.55395i | 0.0940491 | + | 0.0940491i | ||||
\(274\) | −3.96693 | + | 2.88736i | −0.239651 | + | 0.174432i | ||||
\(275\) | −2.53321 | + | 0.285424i | −0.152758 | + | 0.0172117i | ||||
\(276\) | 8.86603 | + | 10.5827i | 0.533672 | + | 0.637006i | ||||
\(277\) | −23.8181 | − | 11.4702i | −1.43109 | − | 0.689176i | −0.451890 | − | 0.892074i | \(-0.649250\pi\) |
−0.979200 | + | 0.202897i | \(0.934964\pi\) | |||||||
\(278\) | 2.62849 | + | 8.72604i | 0.157646 | + | 0.523353i | ||||
\(279\) | −13.2738 | + | 4.64470i | −0.794681 | + | 0.278071i | ||||
\(280\) | 3.18179 | + | 4.15657i | 0.190148 | + | 0.248403i | ||||
\(281\) | 9.82233 | − | 4.73019i | 0.585951 | − | 0.282179i | −0.117328 | − | 0.993093i | \(-0.537433\pi\) |
0.703279 | + | 0.710914i | \(0.251718\pi\) | |||||||
\(282\) | −6.73288 | + | 6.16476i | −0.400937 | + | 0.367106i | ||||
\(283\) | −2.51402 | − | 11.0146i | −0.149443 | − | 0.654753i | −0.993040 | − | 0.117776i | \(-0.962423\pi\) |
0.843597 | − | 0.536977i | \(-0.180434\pi\) | |||||||
\(284\) | 1.49495 | − | 16.9363i | 0.0887088 | − | 1.00499i | ||||
\(285\) | 6.54361 | + | 8.20543i | 0.387610 | + | 0.486048i | ||||
\(286\) | 12.0480 | + | 10.5078i | 0.712414 | + | 0.621338i | ||||
\(287\) | 5.82961 | + | 3.66299i | 0.344111 | + | 0.216219i | ||||
\(288\) | 5.67676 | + | 8.94889i | 0.334506 | + | 0.527318i | ||||
\(289\) | 15.5040i | 0.911999i | ||||||||
\(290\) | −5.43287 | − | 17.1785i | −0.319029 | − | 1.00876i | ||||
\(291\) | 5.18169i | 0.303756i | ||||||||
\(292\) | −2.53367 | − | 4.95155i | −0.148272 | − | 0.289767i | ||||
\(293\) | 5.88840 | + | 3.69993i | 0.344004 | + | 0.216152i | 0.692941 | − | 0.720994i | \(-0.256314\pi\) |
−0.348937 | + | 0.937146i | \(0.613457\pi\) | |||||||
\(294\) | 6.30267 | − | 7.22651i | 0.367579 | − | 0.421459i | ||||
\(295\) | 5.20315 | + | 6.52455i | 0.302939 | + | 0.379874i | ||||
\(296\) | −5.11747 | + | 7.79630i | −0.297447 | + | 0.453151i | ||||
\(297\) | −4.91615 | − | 21.5391i | −0.285264 | − | 1.24982i | ||||
\(298\) | 5.89931 | + | 6.44297i | 0.341738 | + | 0.373231i | ||||
\(299\) | 15.5081 | − | 7.46830i | 0.896856 | − | 0.431903i | ||||
\(300\) | 0.522007 | − | 1.15450i | 0.0301381 | − | 0.0666552i | ||||
\(301\) | 2.01370 | − | 0.704624i | 0.116068 | − | 0.0406139i | ||||
\(302\) | −10.7054 | + | 3.22471i | −0.616024 | + | 0.185561i | ||||
\(303\) | −7.08345 | − | 3.41121i | −0.406934 | − | 0.195969i | ||||
\(304\) | 4.75307 | − | 16.0284i | 0.272607 | − | 0.919290i | ||||
\(305\) | 17.6846 | − | 1.99258i | 1.01262 | − | 0.114095i | ||||
\(306\) | 1.90698 | + | 2.62000i | 0.109015 | + | 0.149775i | ||||
\(307\) | −11.5602 | − | 11.5602i | −0.659776 | − | 0.659776i | 0.295551 | − | 0.955327i | \(-0.404497\pi\) |
−0.955327 | + | 0.295551i | \(0.904497\pi\) | |||||||
\(308\) | −4.03899 | + | 5.32364i | −0.230143 | + | 0.303342i | ||||
\(309\) | 2.47553 | + | 3.93979i | 0.140828 | + | 0.224127i | ||||
\(310\) | 1.10521 | − | 25.0907i | 0.0627717 | − | 1.42505i | ||||
\(311\) | −29.0609 | − | 10.1689i | −1.64789 | − | 0.576623i | −0.662823 | − | 0.748776i | \(-0.730642\pi\) |
−0.985070 | + | 0.172153i | \(0.944928\pi\) | |||||||
\(312\) | −7.55042 | + | 2.47483i | −0.427459 | + | 0.140110i | ||||
\(313\) | 12.6209 | − | 15.8262i | 0.713378 | − | 0.894548i | −0.284565 | − | 0.958657i | \(-0.591849\pi\) |
0.997943 | + | 0.0641089i | \(0.0204205\pi\) | |||||||
\(314\) | −3.64720 | − | 19.9999i | −0.205824 | − | 1.12866i | ||||
\(315\) | −3.38019 | − | 0.771506i | −0.190452 | − | 0.0434694i | ||||
\(316\) | 0.539169 | + | 22.3129i | 0.0303306 | + | 1.25520i | ||||
\(317\) | −2.56917 | + | 22.8021i | −0.144299 | + | 1.28069i | 0.687733 | + | 0.725964i | \(0.258606\pi\) |
−0.832032 | + | 0.554727i | \(0.812823\pi\) | |||||||
\(318\) | 3.87111 | + | 2.07885i | 0.217081 | + | 0.116576i | ||||
\(319\) | 19.3052 | − | 12.5032i | 1.08089 | − | 0.700042i | ||||
\(320\) | −18.6043 | + | 3.47540i | −1.04001 | + | 0.194281i | ||||
\(321\) | 13.4046 | + | 1.51034i | 0.748174 | + | 0.0842990i | ||||
\(322\) | 3.55615 | + | 6.25469i | 0.198176 | + | 0.348560i | ||||
\(323\) | 1.13755 | − | 4.98394i | 0.0632950 | − | 0.277314i | ||||
\(324\) | −0.247092 | − | 0.0798157i | −0.0137273 | − | 0.00443420i | ||||
\(325\) | −1.23505 | − | 0.984923i | −0.0685085 | − | 0.0546337i | ||||
\(326\) | 13.7009 | + | 3.76854i | 0.758823 | + | 0.208720i | ||||
\(327\) | 5.05402 | − | 14.4436i | 0.279488 | − | 0.798731i | ||||
\(328\) | −21.3364 | + | 12.8227i | −1.17810 | + | 0.708014i | ||||
\(329\) | −4.02832 | + | 2.53116i | −0.222088 | + | 0.139547i | ||||
\(330\) | 14.9826 | + | 2.35982i | 0.824767 | + | 0.129904i | ||||
\(331\) | 6.07845 | − | 6.07845i | 0.334102 | − | 0.334102i | −0.520040 | − | 0.854142i | \(-0.674083\pi\) |
0.854142 | + | 0.520040i | \(0.174083\pi\) | |||||||
\(332\) | −4.74937 | − | 34.6137i | −0.260656 | − | 1.89968i | ||||
\(333\) | −0.691596 | − | 6.13809i | −0.0378992 | − | 0.336365i | ||||
\(334\) | −5.60113 | + | 13.9982i | −0.306480 | + | 0.765949i | ||||
\(335\) | 12.3804 | − | 25.7082i | 0.676415 | − | 1.40459i | ||||
\(336\) | −1.24710 | − | 3.07829i | −0.0680347 | − | 0.167935i | ||||
\(337\) | 8.30069 | + | 23.7220i | 0.452167 | + | 1.29222i | 0.914166 | + | 0.405340i | \(0.132847\pi\) |
−0.461999 | + | 0.886881i | \(0.652868\pi\) | |||||||
\(338\) | −0.577603 | − | 8.45866i | −0.0314175 | − | 0.460091i | ||||
\(339\) | −9.14132 | − | 18.9821i | −0.496488 | − | 1.03097i | ||||
\(340\) | −5.60938 | + | 1.42370i | −0.304211 | + | 0.0772111i | ||||
\(341\) | 31.2576 | − | 7.13435i | 1.69270 | − | 0.386347i | ||||
\(342\) | 4.36083 | + | 10.1785i | 0.235807 | + | 0.550388i | ||||
\(343\) | 8.18833 | − | 6.52997i | 0.442128 | − | 0.352585i | ||||
\(344\) | −1.01570 | + | 7.64642i | −0.0547630 | + | 0.412267i | ||||
\(345\) | 8.68846 | − | 13.8276i | 0.467771 | − | 0.744453i | ||||
\(346\) | −6.74578 | + | 9.75486i | −0.362656 | + | 0.524425i | ||||
\(347\) | −36.2951 | −1.94842 | −0.974212 | − | 0.225633i | \(-0.927555\pi\) | ||||
−0.974212 | + | 0.225633i | \(0.927555\pi\) | |||||||
\(348\) | 0.433006 | + | 11.4236i | 0.0232115 | + | 0.612368i | ||||
\(349\) | 15.9525 | 0.853918 | 0.426959 | − | 0.904271i | \(-0.359585\pi\) | ||||
0.426959 | + | 0.904271i | \(0.359585\pi\) | |||||||
\(350\) | 0.375574 | − | 0.543105i | 0.0200753 | − | 0.0290302i | ||||
\(351\) | 7.28376 | − | 11.5920i | 0.388778 | − | 0.618737i | ||||
\(352\) | −10.5765 | − | 21.7229i | −0.563728 | − | 1.15784i | ||||
\(353\) | 5.72501 | − | 4.56555i | 0.304712 | − | 0.242999i | −0.459181 | − | 0.888343i | \(-0.651857\pi\) |
0.763893 | + | 0.645343i | \(0.223286\pi\) | |||||||
\(354\) | −2.08525 | − | 4.86709i | −0.110830 | − | 0.258683i | ||||
\(355\) | −19.6074 | + | 4.47526i | −1.04065 | + | 0.237522i | ||||
\(356\) | −6.91177 | − | 27.2324i | −0.366323 | − | 1.44331i | ||||
\(357\) | −0.440648 | − | 0.915016i | −0.0233216 | − | 0.0484278i | ||||
\(358\) | −0.0795795 | − | 1.16540i | −0.00420591 | − | 0.0615931i | ||||
\(359\) | 4.85484 | + | 13.8743i | 0.256229 | + | 0.732260i | 0.998094 | + | 0.0617111i | \(0.0196557\pi\) |
−0.741865 | + | 0.670549i | \(0.766059\pi\) | |||||||
\(360\) | 8.00897 | − | 9.64364i | 0.422110 | − | 0.508264i | ||||
\(361\) | −0.664371 | + | 1.37958i | −0.0349669 | + | 0.0726095i | ||||
\(362\) | −11.6107 | + | 29.0173i | −0.610245 | + | 1.52511i | ||||
\(363\) | 0.860657 | + | 7.63855i | 0.0451728 | + | 0.400920i | ||||
\(364\) | −4.10247 | + | 0.562903i | −0.215028 | + | 0.0295041i | ||||
\(365\) | −4.65231 | + | 4.65231i | −0.243513 | + | 0.243513i | ||||
\(366\) | −11.1543 | − | 1.75684i | −0.583044 | − | 0.0918313i | ||||
\(367\) | −13.5733 | + | 8.52869i | −0.708522 | + | 0.445194i | −0.837488 | − | 0.546455i | \(-0.815977\pi\) |
0.128966 | + | 0.991649i | \(0.458834\pi\) | |||||||
\(368\) | −25.9837 | + | 1.25648i | −1.35449 | + | 0.0654983i | ||||
\(369\) | 5.44558 | − | 15.5626i | 0.283485 | − | 0.810155i | ||||
\(370\) | 10.6363 | + | 2.92560i | 0.552957 | + | 0.152095i | ||||
\(371\) | 1.79035 | + | 1.42775i | 0.0929502 | + | 0.0741253i | ||||
\(372\) | −4.89822 | + | 15.1638i | −0.253961 | + | 0.786208i | ||||
\(373\) | 2.01554 | − | 8.83065i | 0.104361 | − | 0.457234i | −0.895564 | − | 0.444933i | \(-0.853227\pi\) |
0.999924 | − | 0.0123004i | \(-0.00391545\pi\) | |||||||
\(374\) | −3.65151 | − | 6.42243i | −0.188815 | − | 0.332096i | ||||
\(375\) | 10.9870 | + | 1.23794i | 0.567368 | + | 0.0639270i | ||||
\(376\) | −1.58609 | − | 17.1280i | −0.0817966 | − | 0.883311i | ||||
\(377\) | 13.9377 | + | 2.98051i | 0.717826 | + | 0.153504i | ||||
\(378\) | 5.04167 | + | 2.70745i | 0.259315 | + | 0.139256i | ||||
\(379\) | −1.09499 | + | 9.71832i | −0.0562460 | + | 0.499197i | 0.933732 | + | 0.357973i | \(0.116532\pi\) |
−0.989978 | + | 0.141223i | \(0.954896\pi\) | |||||||
\(380\) | −19.7700 | + | 0.477723i | −1.01418 | + | 0.0245067i | ||||
\(381\) | −20.1991 | − | 4.61031i | −1.03483 | − | 0.236193i | ||||
\(382\) | −3.75732 | − | 20.6037i | −0.192241 | − | 1.05418i | ||||
\(383\) | 15.4010 | − | 19.3122i | 0.786955 | − | 0.986810i | −0.212998 | − | 0.977053i | \(-0.568323\pi\) |
0.999952 | − | 0.00975709i | \(-0.00310583\pi\) | |||||||
\(384\) | 11.9664 | + | 1.00444i | 0.610660 | + | 0.0512577i | ||||
\(385\) | 7.46094 | + | 2.61069i | 0.380245 | + | 0.133053i | ||||
\(386\) | 0.258883 | − | 5.87721i | 0.0131768 | − | 0.299142i | ||||
\(387\) | −2.71819 | − | 4.32598i | −0.138173 | − | 0.219902i | ||||
\(388\) | −7.77844 | − | 5.90142i | −0.394890 | − | 0.299599i | ||||
\(389\) | −2.88848 | − | 2.88848i | −0.146452 | − | 0.146452i | 0.630079 | − | 0.776531i | \(-0.283022\pi\) |
−0.776531 | + | 0.630079i | \(0.783022\pi\) | |||||||
\(390\) | 5.53101 | + | 7.59904i | 0.280074 | + | 0.384792i | ||||
\(391\) | −7.90455 | + | 0.890629i | −0.399750 | + | 0.0450410i | ||||
\(392\) | 3.66990 | + | 17.6914i | 0.185358 | + | 0.893553i | ||||
\(393\) | −11.0700 | − | 5.33102i | −0.558407 | − | 0.268914i | ||||
\(394\) | 15.7041 | − | 4.73044i | 0.791160 | − | 0.238316i | ||||
\(395\) | 24.9197 | − | 8.71977i | 1.25385 | − | 0.438739i | ||||
\(396\) | 14.5816 | + | 6.59307i | 0.732754 | + | 0.331314i | ||||
\(397\) | 12.6248 | − | 6.07977i | 0.633619 | − | 0.305135i | −0.0893658 | − | 0.995999i | \(-0.528484\pi\) |
0.722985 | + | 0.690864i | \(0.242770\pi\) | |||||||
\(398\) | −1.71460 | − | 1.87261i | −0.0859450 | − | 0.0938654i | ||||
\(399\) | −0.772240 | − | 3.38340i | −0.0386603 | − | 0.169382i | ||||
\(400\) | 1.13856 | + | 2.09847i | 0.0569278 | + | 0.104923i | ||||
\(401\) | 12.7554 | + | 15.9947i | 0.636973 | + | 0.798739i | 0.990621 | − | 0.136640i | \(-0.0436302\pi\) |
−0.353648 | + | 0.935379i | \(0.615059\pi\) | |||||||
\(402\) | −11.9000 | + | 13.6443i | −0.593519 | + | 0.680517i | ||||
\(403\) | 16.8224 | + | 10.5702i | 0.837985 | + | 0.526541i | ||||
\(404\) | 13.1880 | − | 6.74823i | 0.656129 | − | 0.335737i | ||||
\(405\) | 0.307152i | 0.0152625i | ||||||||
\(406\) | −0.846061 | + | 5.89733i | −0.0419893 | + | 0.292679i | ||||
\(407\) | 14.0825i | 0.698043i | ||||||||
\(408\) | 3.67124 | + | 0.0729235i | 0.181753 | + | 0.00361025i | ||||
\(409\) | 0.895309 | + | 0.562560i | 0.0442702 | + | 0.0278168i | 0.553985 | − | 0.832526i | \(-0.313106\pi\) |
−0.509715 | + | 0.860343i | \(0.670249\pi\) | |||||||
\(410\) | 22.1912 | + | 19.3543i | 1.09595 | + | 0.955840i | ||||
\(411\) | −2.29598 | − | 2.87906i | −0.113252 | − | 0.142014i | ||||
\(412\) | −8.73355 | − | 0.770898i | −0.430271 | − | 0.0379794i | ||||
\(413\) | −0.614046 | − | 2.69031i | −0.0302152 | − | 0.132382i | ||||
\(414\) | 12.7080 | − | 11.6357i | 0.624566 | − | 0.571865i | ||||
\(415\) | −37.2349 | + | 17.9314i | −1.82779 | + | 0.880218i | ||||
\(416\) | 4.88410 | − | 14.1528i | 0.239463 | − | 0.693899i | ||||
\(417\) | −6.45602 | + | 2.25906i | −0.316153 | + | 0.110627i | ||||
\(418\) | −7.28137 | − | 24.1726i | −0.356143 | − | 1.18232i | ||||
\(419\) | 15.7883 | + | 7.60324i | 0.771308 | + | 0.371442i | 0.777780 | − | 0.628537i | \(-0.216346\pi\) |
−0.00647185 | + | 0.999979i | \(0.502060\pi\) | |||||||
\(420\) | −3.01154 | + | 2.52301i | −0.146948 | + | 0.123110i | ||||
\(421\) | −27.8538 | + | 3.13837i | −1.35751 | + | 0.152955i | −0.760530 | − | 0.649302i | \(-0.775061\pi\) |
−0.596979 | + | 0.802257i | \(0.703632\pi\) | |||||||
\(422\) | 10.4549 | − | 7.60967i | 0.508937 | − | 0.370433i | ||||
\(423\) | 8.05624 | + | 8.05624i | 0.391708 | + | 0.391708i | ||||
\(424\) | −7.52944 | + | 3.44349i | −0.365662 | + | 0.167231i | ||||
\(425\) | 0.388400 | + | 0.618135i | 0.0188402 | + | 0.0299839i | ||||
\(426\) | 12.7483 | + | 0.561547i | 0.617659 | + | 0.0272071i | ||||
\(427\) | −5.55452 | − | 1.94361i | −0.268802 | − | 0.0940580i | ||||
\(428\) | −17.5338 | + | 18.4021i | −0.847526 | + | 0.889500i | ||||
\(429\) | −7.48088 | + | 9.38072i | −0.361180 | + | 0.452905i | ||||
\(430\) | 8.97625 | − | 1.63692i | 0.432873 | − | 0.0789393i | ||||
\(431\) | 11.4853 | + | 2.62145i | 0.553228 | + | 0.126271i | 0.489990 | − | 0.871728i | \(-0.337000\pi\) |
0.0632374 | + | 0.997999i | \(0.479857\pi\) | |||||||
\(432\) | −16.9672 | + | 11.8415i | −0.816337 | + | 0.569724i | ||||
\(433\) | 1.51457 | − | 13.4422i | 0.0727855 | − | 0.645989i | −0.903362 | − | 0.428879i | \(-0.858909\pi\) |
0.976147 | − | 0.217110i | \(-0.0696629\pi\) | |||||||
\(434\) | −3.92907 | + | 7.31650i | −0.188601 | + | 0.351203i | ||||
\(435\) | 12.7011 | − | 4.64097i | 0.608972 | − | 0.222517i | ||||
\(436\) | 15.9258 | + | 24.0365i | 0.762706 | + | 1.15114i | ||||
\(437\) | −27.0109 | − | 3.04340i | −1.29211 | − | 0.145586i | ||||
\(438\) | 3.62902 | − | 2.06330i | 0.173401 | − | 0.0985884i | ||||
\(439\) | −4.48987 | + | 19.6714i | −0.214290 | + | 0.938864i | 0.747324 | + | 0.664459i | \(0.231338\pi\) |
−0.961614 | + | 0.274405i | \(0.911519\pi\) | |||||||
\(440\) | −20.6061 | + | 19.8034i | −0.982358 | + | 0.944092i | ||||
\(441\) | −9.35644 | − | 7.46151i | −0.445545 | − | 0.355310i | ||||
\(442\) | 1.21415 | − | 4.41416i | 0.0577511 | − | 0.209960i | ||||
\(443\) | 5.24946 | − | 15.0021i | 0.249409 | − | 0.712771i | −0.749312 | − | 0.662217i | \(-0.769616\pi\) |
0.998721 | − | 0.0505539i | \(-0.0160987\pi\) | |||||||
\(444\) | −6.01473 | − | 3.57961i | −0.285446 | − | 0.169881i | ||||
\(445\) | −28.1401 | + | 17.6816i | −1.33397 | + | 0.838188i | ||||
\(446\) | −1.31649 | + | 8.35851i | −0.0623377 | + | 0.395787i | ||||
\(447\) | −4.63614 | + | 4.63614i | −0.219282 | + | 0.219282i | ||||
\(448\) | 6.04126 | + | 1.63379i | 0.285423 | + | 0.0771895i | ||||
\(449\) | 1.28065 | + | 11.3661i | 0.0604378 | + | 0.536400i | 0.987054 | + | 0.160391i | \(0.0512754\pi\) |
−0.926616 | + | 0.376009i | \(0.877296\pi\) | |||||||
\(450\) | −1.46815 | − | 0.587451i | −0.0692091 | − | 0.0276927i | ||||
\(451\) | −16.3096 | + | 33.8672i | −0.767989 | + | 1.59475i | ||||
\(452\) | 38.9059 | + | 7.89634i | 1.82998 | + | 0.371412i | ||||
\(453\) | −2.77148 | − | 7.92044i | −0.130215 | − | 0.372135i | ||||
\(454\) | −19.0038 | + | 1.29768i | −0.891892 | + | 0.0609032i | ||||
\(455\) | 2.12526 | + | 4.41314i | 0.0996336 | + | 0.206891i | ||||
\(456\) | 12.1752 | + | 3.03450i | 0.570154 | + | 0.142103i | ||||
\(457\) | 2.98497 | − | 0.681299i | 0.139631 | − | 0.0318698i | −0.152134 | − | 0.988360i | \(-0.548615\pi\) |
0.291765 | + | 0.956490i | \(0.405757\pi\) | |||||||
\(458\) | 10.3233 | − | 4.42288i | 0.482375 | − | 0.206667i | ||||
\(459\) | −4.94651 | + | 3.94471i | −0.230883 | + | 0.184123i | ||||
\(460\) | 10.8619 | + | 28.7908i | 0.506438 | + | 1.34238i | ||||
\(461\) | −2.17426 | + | 3.46031i | −0.101265 | + | 0.161163i | −0.893514 | − | 0.449036i | \(-0.851768\pi\) |
0.792248 | + | 0.610199i | \(0.208910\pi\) | |||||||
\(462\) | −4.12510 | − | 2.85263i | −0.191917 | − | 0.132716i | ||||
\(463\) | 7.23025 | 0.336018 | 0.168009 | − | 0.985785i | \(-0.446266\pi\) | ||||
0.168009 | + | 0.985785i | \(0.446266\pi\) | |||||||
\(464\) | −17.6415 | − | 12.3603i | −0.818987 | − | 0.573812i | ||||
\(465\) | 18.8496 | 0.874131 | ||||||||
\(466\) | 22.8407 | + | 15.7950i | 1.05807 | + | 0.731689i | ||||
\(467\) | −7.34971 | + | 11.6970i | −0.340104 | + | 0.541272i | −0.972360 | − | 0.233487i | \(-0.924986\pi\) |
0.632256 | + | 0.774760i | \(0.282129\pi\) | |||||||
\(468\) | 3.50039 | + | 9.27823i | 0.161806 | + | 0.428886i | ||||
\(469\) | −7.37681 | + | 5.88281i | −0.340629 | + | 0.271643i | ||||
\(470\) | −18.7029 | + | 8.01303i | −0.862700 | + | 0.369613i | ||||
\(471\) | 14.8756 | − | 3.39525i | 0.685430 | − | 0.156445i | ||||
\(472\) | 9.68107 | + | 2.41288i | 0.445607 | + | 0.111062i | ||||
\(473\) | 5.05385 | + | 10.4944i | 0.232376 | + | 0.482534i | ||||
\(474\) | −16.7125 | + | 1.14122i | −0.767631 | + | 0.0524180i | ||||
\(475\) | 0.823919 | + | 2.35463i | 0.0378040 | + | 0.108038i | ||||
\(476\) | 1.87542 | + | 0.380635i | 0.0859597 | + | 0.0174464i | ||||
\(477\) | 2.37938 | − | 4.94082i | 0.108944 | − | 0.226225i | ||||
\(478\) | 14.3797 | + | 5.75376i | 0.657711 | + | 0.263171i | ||||
\(479\) | 3.00221 | + | 26.6453i | 0.137174 | + | 1.21746i | 0.854026 | + | 0.520230i | \(0.174154\pi\) |
−0.716852 | + | 0.697225i | \(0.754418\pi\) | |||||||
\(480\) | −3.22034 | − | 13.8348i | −0.146988 | − | 0.631471i | ||||
\(481\) | −6.17060 | + | 6.17060i | −0.281355 | + | 0.281355i | ||||
\(482\) | 5.35671 | − | 34.0102i | 0.243992 | − | 1.54912i | ||||
\(483\) | −4.57235 | + | 2.87300i | −0.208049 | + | 0.130726i | ||||
\(484\) | −12.4467 | − | 7.40756i | −0.565760 | − | 0.336707i | ||||
\(485\) | −3.81452 | + | 10.9013i | −0.173208 | + | 0.495001i | ||||
\(486\) | 5.87191 | − | 21.3479i | 0.266355 | − | 0.968362i | ||||
\(487\) | −16.3336 | − | 13.0256i | −0.740144 | − | 0.590245i | 0.179147 | − | 0.983822i | \(-0.442666\pi\) |
−0.919292 | + | 0.393577i | \(0.871238\pi\) | |||||||
\(488\) | 15.3409 | − | 14.7433i | 0.694448 | − | 0.667397i | ||||
\(489\) | −2.37316 | + | 10.3975i | −0.107318 | + | 0.470191i | ||||
\(490\) | 18.5794 | − | 10.5635i | 0.839332 | − | 0.477208i | ||||
\(491\) | −17.7336 | − | 1.99810i | −0.800306 | − | 0.0901728i | −0.297667 | − | 0.954670i | \(-0.596209\pi\) |
−0.502638 | + | 0.864497i | \(0.667637\pi\) | |||||||
\(492\) | −10.3192 | − | 15.5746i | −0.465226 | − | 0.702158i | ||||
\(493\) | −5.62469 | − | 3.42745i | −0.253323 | − | 0.154365i | ||||
\(494\) | 7.40134 | − | 13.7824i | 0.333002 | − | 0.620099i | ||||
\(495\) | 2.11944 | − | 18.8105i | 0.0952617 | − | 0.845471i | ||||
\(496\) | −17.1845 | − | 24.6230i | −0.771605 | − | 1.10560i | ||||
\(497\) | 6.48355 | + | 1.47983i | 0.290827 | + | 0.0663793i | ||||
\(498\) | 25.7967 | − | 4.70433i | 1.15598 | − | 0.210806i | ||||
\(499\) | 22.8214 | − | 28.6171i | 1.02163 | − | 1.28108i | 0.0625170 | − | 0.998044i | \(-0.480087\pi\) |
0.959110 | − | 0.283035i | \(-0.0913413\pi\) | |||||||
\(500\) | −14.3714 | + | 15.0832i | −0.642710 | + | 0.674540i | ||||
\(501\) | −10.6809 | − | 3.73742i | −0.477189 | − | 0.166976i | ||||
\(502\) | −20.1519 | − | 0.887662i | −0.899422 | − | 0.0396183i | ||||
\(503\) | −7.21504 | − | 11.4827i | −0.321703 | − | 0.511987i | 0.646248 | − | 0.763128i | \(-0.276337\pi\) |
−0.967951 | + | 0.251141i | \(0.919194\pi\) | |||||||
\(504\) | −3.76964 | + | 1.72399i | −0.167913 | + | 0.0767927i | ||||
\(505\) | −12.3910 | − | 12.3910i | −0.551394 | − | 0.551394i | ||||
\(506\) | −31.7604 | + | 23.1171i | −1.41192 | + | 1.02768i | ||||
\(507\) | 6.32328 | − | 0.712462i | 0.280827 | − | 0.0316416i | ||||
\(508\) | 29.9254 | − | 25.0710i | 1.32773 | − | 1.11234i | ||||
\(509\) | 18.3428 | + | 8.83344i | 0.813031 | + | 0.391535i | 0.793724 | − | 0.608278i | \(-0.208140\pi\) |
0.0193074 | + | 0.999814i | \(0.493854\pi\) | |||||||
\(510\) | −1.25277 | − | 4.15892i | −0.0554734 | − | 0.184160i | ||||
\(511\) | 2.05350 | − | 0.718551i | 0.0908415 | − | 0.0317868i | ||||
\(512\) | −15.1364 | + | 16.8193i | −0.668939 | + | 0.743317i | ||||
\(513\) | −19.4786 | + | 9.38040i | −0.860002 | + | 0.414155i | ||||
\(514\) | −18.8814 | + | 17.2882i | −0.832824 | + | 0.762550i | ||||
\(515\) | 2.30775 | + | 10.1109i | 0.101692 | + | 0.445540i | ||||
\(516\) | −5.76688 | − | 0.509034i | −0.253873 | − | 0.0224090i | ||||
\(517\) | −16.1951 | − | 20.3080i | −0.712260 | − | 0.893145i | ||||
\(518\) | −2.74906 | − | 2.39762i | −0.120787 | − | 0.105345i | ||||
\(519\) | −7.53705 | − | 4.73584i | −0.330840 | − | 0.207880i | ||||
\(520\) | −17.7065 | − | 0.351712i | −0.776481 | − | 0.0154236i | ||||
\(521\) | 2.57001i | 0.112594i | 0.998414 | + | 0.0562971i | \(0.0179294\pi\) | ||||
−0.998414 | + | 0.0562971i | \(0.982071\pi\) | |||||||
\(522\) | 14.2196 | − | 1.16729i | 0.622373 | − | 0.0510908i | ||||
\(523\) | − | 33.3214i | − | 1.45704i | −0.685023 | − | 0.728521i | \(-0.740208\pi\) | ||
0.685023 | − | 0.728521i | \(-0.259792\pi\) | |||||||
\(524\) | 20.6102 | − | 10.5461i | 0.900360 | − | 0.460708i | ||||
\(525\) | 0.419628 | + | 0.263670i | 0.0183141 | + | 0.0115075i | ||||
\(526\) | 14.2387 | − | 16.3258i | 0.620837 | − | 0.711840i | ||||
\(527\) | −5.72459 | − | 7.17840i | −0.249367 | − | 0.312696i | ||||
\(528\) | 15.9387 | − | 8.64777i | 0.693641 | − | 0.376346i | ||||
\(529\) | 4.29369 | + | 18.8119i | 0.186682 | + | 0.817907i | ||||
\(530\) | 6.61372 | + | 7.22322i | 0.287282 | + | 0.313757i | ||||
\(531\) | −5.95395 | + | 2.86727i | −0.258379 | + | 0.124429i | ||||
\(532\) | 5.95846 | + | 2.69411i | 0.258332 | + | 0.116805i | ||||
\(533\) | −21.9863 | + | 7.69332i | −0.952330 | + | 0.333235i | ||||
\(534\) | 20.1907 | − | 6.08192i | 0.873737 | − | 0.263190i | ||||
\(535\) | 27.0889 | + | 13.0453i | 1.17116 | + | 0.563999i | ||||
\(536\) | −6.92912 | − | 33.4031i | −0.299292 | − | 1.44279i | ||||
\(537\) | 0.871192 | − | 0.0981598i | 0.0375947 | − | 0.00423591i | ||||
\(538\) | 6.00099 | + | 8.24474i | 0.258721 | + | 0.355456i | ||||
\(539\) | 19.2925 | + | 19.2925i | 0.830989 | + | 0.830989i | ||||
\(540\) | 19.4982 | + | 14.7931i | 0.839069 | + | 0.636593i | ||||
\(541\) | −11.2033 | − | 17.8300i | −0.481668 | − | 0.766570i | 0.514172 | − | 0.857687i | \(-0.328099\pi\) |
−0.995840 | + | 0.0911169i | \(0.970956\pi\) | |||||||
\(542\) | 0.811113 | − | 18.4140i | 0.0348403 | − | 0.790950i | ||||
\(543\) | −22.1408 | − | 7.74740i | −0.950153 | − | 0.332473i | ||||
\(544\) | −4.29064 | + | 5.42799i | −0.183960 | + | 0.232723i | ||||
\(545\) | 21.2654 | − | 26.6659i | 0.910908 | − | 1.14224i | ||||
\(546\) | −0.557564 | − | 3.05747i | −0.0238615 | − | 0.130848i | ||||
\(547\) | 6.37690 | + | 1.45549i | 0.272656 | + | 0.0622320i | 0.356663 | − | 0.934233i | \(-0.383914\pi\) |
−0.0840064 | + | 0.996465i | \(0.526772\pi\) | |||||||
\(548\) | 6.93676 | − | 0.167620i | 0.296324 | − | 0.00716038i | ||||
\(549\) | −1.57788 | + | 14.0041i | −0.0673423 | + | 0.597679i | ||||
\(550\) | 3.17616 | + | 1.70564i | 0.135432 | + | 0.0727289i | ||||
\(551\) | −16.1323 | − | 15.6954i | −0.687258 | − | 0.668645i | ||||
\(552\) | −1.80030 | − | 19.4412i | −0.0766259 | − | 0.827473i | ||||
\(553\) | −8.67517 | − | 0.977457i | −0.368906 | − | 0.0415657i | ||||
\(554\) | 18.4784 | + | 32.5005i | 0.785071 | + | 1.38081i | ||||
\(555\) | −1.84234 | + | 8.07181i | −0.0782029 | + | 0.342629i | ||||
\(556\) | 3.96159 | − | 12.2642i | 0.168009 | − | 0.520119i | ||||
\(557\) | 7.49091 | + | 5.97380i | 0.317400 | + | 0.253118i | 0.769210 | − | 0.638996i | \(-0.220650\pi\) |
−0.451810 | + | 0.892114i | \(0.649221\pi\) | |||||||
\(558\) | 19.1759 | + | 5.27446i | 0.811779 | + | 0.223286i | ||||
\(559\) | −2.38393 | + | 6.81288i | −0.100829 | + | 0.288154i | ||||
\(560\) | −0.357556 | − | 7.39419i | −0.0151095 | − | 0.312461i | ||||
\(561\) | 4.69497 | − | 2.95005i | 0.198222 | − | 0.124551i | ||||
\(562\) | −15.2300 | − | 2.39877i | −0.642437 | − | 0.101186i | ||||
\(563\) | −20.3426 | + | 20.3426i | −0.857339 | + | 0.857339i | −0.991024 | − | 0.133685i | \(-0.957319\pi\) |
0.133685 | + | 0.991024i | \(0.457319\pi\) | |||||||
\(564\) | 12.7903 | − | 1.75497i | 0.538569 | − | 0.0738974i | ||||
\(565\) | −5.25779 | − | 46.6642i | −0.221197 | − | 1.96318i | ||||
\(566\) | −5.93563 | + | 14.8342i | −0.249493 | + | 0.623529i | ||||
\(567\) | 0.0440676 | − | 0.0915073i | 0.00185067 | − | 0.00384295i | ||||
\(568\) | −15.3620 | + | 18.4975i | −0.644576 | + | 0.776138i | ||||
\(569\) | 11.7965 | + | 33.7126i | 0.494536 | + | 1.41330i | 0.873015 | + | 0.487694i | \(0.162162\pi\) |
−0.378479 | + | 0.925610i | \(0.623553\pi\) | |||||||
\(570\) | −1.01116 | − | 14.8079i | −0.0423529 | − | 0.620234i | ||||
\(571\) | 11.5707 | + | 24.0268i | 0.484218 | + | 1.00549i | 0.989767 | + | 0.142691i | \(0.0455756\pi\) |
−0.505549 | + | 0.862798i | \(0.668710\pi\) | |||||||
\(572\) | −5.56181 | − | 21.9135i | −0.232551 | − | 0.916250i | ||||
\(573\) | 15.3247 | − | 3.49776i | 0.640198 | − | 0.146121i | ||||
\(574\) | −3.83447 | − | 8.94989i | −0.160048 | − | 0.373561i | ||||
\(575\) | 3.03482 | − | 2.42019i | 0.126561 | − | 0.100929i | ||||
\(576\) | 0.595160 | − | 14.9754i | 0.0247984 | − | 0.623974i | ||||
\(577\) | 11.0405 | − | 17.5709i | 0.459624 | − | 0.731487i | −0.533846 | − | 0.845582i | \(-0.679254\pi\) |
0.993470 | + | 0.114095i | \(0.0363967\pi\) | |||||||
\(578\) | 12.4710 | − | 18.0339i | 0.518724 | − | 0.750111i | ||||
\(579\) | 4.41531 | 0.183494 | ||||||||
\(580\) | −7.49855 | + | 24.3517i | −0.311360 | + | 1.01115i | ||||
\(581\) | 13.6658 | 0.566951 | ||||||||
\(582\) | 4.16801 | − | 6.02723i | 0.172770 | − | 0.249837i | ||||
\(583\) | −6.65173 | + | 10.5862i | −0.275486 | + | 0.438434i | ||||
\(584\) | −1.03578 | + | 7.79755i | −0.0428608 | + | 0.322665i | ||||
\(585\) | 9.17100 | − | 7.31363i | 0.379174 | − | 0.302381i | ||||
\(586\) | −3.87314 | − | 9.04015i | −0.159998 | − | 0.373445i | ||||
\(587\) | 4.82554 | − | 1.10140i | 0.199171 | − | 0.0454596i | −0.121771 | − | 0.992558i | \(-0.538857\pi\) |
0.320943 | + | 0.947099i | \(0.396000\pi\) | |||||||
\(588\) | −13.1439 | + | 3.33603i | −0.542047 | + | 0.137575i | ||||
\(589\) | −13.6129 | − | 28.2675i | −0.560910 | − | 1.16474i | ||||
\(590\) | −0.804025 | − | 11.7745i | −0.0331012 | − | 0.484748i | ||||
\(591\) | 4.06559 | + | 11.6188i | 0.167236 | + | 0.477933i | ||||
\(592\) | 12.2237 | − | 4.95213i | 0.502390 | − | 0.203531i | ||||
\(593\) | −8.03058 | + | 16.6757i | −0.329777 | + | 0.684788i | −0.998262 | − | 0.0589374i | \(-0.981229\pi\) |
0.668485 | + | 0.743726i | \(0.266943\pi\) | |||||||
\(594\) | −11.6071 | + | 29.0082i | −0.476244 | + | 1.19022i | ||||
\(595\) | −0.253447 | − | 2.24940i | −0.0103903 | − | 0.0922164i | ||||
\(596\) | −1.67940 | − | 12.2396i | −0.0687908 | − | 0.501352i | ||||
\(597\) | 1.34746 | − | 1.34746i | 0.0551480 | − | 0.0551480i | ||||
\(598\) | −24.0460 | − | 3.78732i | −0.983313 | − | 0.154875i | ||||
\(599\) | 22.4419 | − | 14.1012i | 0.916953 | − | 0.576160i | 0.0111869 | − | 0.999937i | \(-0.496439\pi\) |
0.905766 | + | 0.423778i | \(0.139296\pi\) | |||||||
\(600\) | −1.53584 | + | 0.923004i | −0.0627003 | + | 0.0376815i | ||||
\(601\) | −1.28953 | + | 3.68525i | −0.0526009 | + | 0.150325i | −0.967186 | − | 0.254068i | \(-0.918231\pi\) |
0.914586 | + | 0.404393i | \(0.132517\pi\) | |||||||
\(602\) | −2.90907 | − | 0.800163i | −0.118565 | − | 0.0326122i | ||||
\(603\) | 17.6658 | + | 14.0880i | 0.719408 | + | 0.573709i | ||||
\(604\) | 15.0461 | + | 4.86019i | 0.612218 | + | 0.197758i | ||||
\(605\) | −3.81249 | + | 16.7036i | −0.155000 | + | 0.679098i | ||||
\(606\) | 5.49543 | + | 9.66559i | 0.223237 | + | 0.392638i | ||||
\(607\) | −14.0893 | − | 1.58748i | −0.571867 | − | 0.0644339i | −0.178704 | − | 0.983903i | \(-0.557191\pi\) |
−0.393163 | + | 0.919469i | \(0.628619\pi\) | |||||||
\(608\) | −18.4215 | + | 14.8206i | −0.747089 | + | 0.601055i | ||||
\(609\) | −4.44979 | − | 0.439605i | −0.180315 | − | 0.0178137i | ||||
\(610\) | −22.1732 | − | 11.9073i | −0.897765 | − | 0.482113i | ||||
\(611\) | 1.80218 | − | 15.9948i | 0.0729083 | − | 0.647079i | ||||
\(612\) | −0.110706 | − | 4.58145i | −0.00447504 | − | 0.185194i | ||||
\(613\) | 1.45423 | + | 0.331918i | 0.0587357 | + | 0.0134060i | 0.251788 | − | 0.967782i | \(-0.418981\pi\) |
−0.193052 | + | 0.981189i | \(0.561839\pi\) | |||||||
\(614\) | 4.14786 | + | 22.7453i | 0.167394 | + | 0.917925i | ||||
\(615\) | −13.7790 | + | 17.2784i | −0.555624 | + | 0.696730i | ||||
\(616\) | 8.98025 | − | 2.94349i | 0.361825 | − | 0.118597i | ||||
\(617\) | −4.49657 | − | 1.57342i | −0.181025 | − | 0.0633434i | 0.238245 | − | 0.971205i | \(-0.423428\pi\) |
−0.419269 | + | 0.907862i | \(0.637714\pi\) | |||||||
\(618\) | 0.289573 | − | 6.57393i | 0.0116483 | − | 0.264442i | ||||
\(619\) | −15.9013 | − | 25.3068i | −0.639127 | − | 1.01716i | −0.996532 | − | 0.0832147i | \(-0.973481\pi\) |
0.357405 | − | 0.933949i | \(-0.383662\pi\) | |||||||
\(620\) | −21.4678 | + | 28.2959i | −0.862168 | + | 1.13639i | ||||
\(621\) | 23.7876 | + | 23.7876i | 0.954562 | + | 0.954562i | ||||
\(622\) | 25.6235 | + | 35.2040i | 1.02741 | + | 1.41155i | ||||
\(623\) | 10.9204 | − | 1.23043i | 0.437515 | − | 0.0492962i | ||||
\(624\) | 10.7732 | + | 3.19469i | 0.431272 | + | 0.127890i | ||||
\(625\) | 24.8920 | + | 11.9874i | 0.995681 | + | 0.479495i | ||||
\(626\) | −27.4106 | + | 8.25671i | −1.09555 | + | 0.330004i | ||||
\(627\) | 17.8843 | − | 6.25799i | 0.714230 | − | 0.249920i | ||||
\(628\) | −11.8450 | + | 26.1971i | −0.472667 | + | 1.04538i | ||||
\(629\) | 3.63346 | − | 1.74978i | 0.144875 | − | 0.0697684i | ||||
\(630\) | 3.31118 | + | 3.61633i | 0.131921 | + | 0.144078i | ||||
\(631\) | −4.17410 | − | 18.2879i | −0.166168 | − | 0.728030i | −0.987505 | − | 0.157587i | \(-0.949629\pi\) |
0.821337 | − | 0.570443i | \(-0.193229\pi\) | |||||||
\(632\) | 17.3207 | − | 26.3875i | 0.688981 | − | 1.04964i | ||||
\(633\) | 6.05108 | + | 7.58781i | 0.240509 | + | 0.301589i | ||||
\(634\) | 21.3298 | − | 24.4563i | 0.847113 | − | 0.971283i | ||||
\(635\) | −39.1011 | − | 24.5688i | −1.55168 | − | 0.974984i | ||||
\(636\) | −2.83063 | − | 5.53189i | −0.112242 | − | 0.219354i | ||||
\(637\) | 16.9070i | 0.669881i | ||||||||
\(638\) | −32.5126 | − | 0.985210i | −1.28719 | − | 0.0390048i | ||||
\(639\) | − | 15.9260i | − | 0.630021i | ||||||
\(640\) | 24.4357 | + | 10.9223i | 0.965904 | + | 0.431742i | ||||
\(641\) | −25.1959 | − | 15.8316i | −0.995177 | − | 0.625311i | −0.0671184 | − | 0.997745i | \(-0.521381\pi\) |
−0.928059 | + | 0.372434i | \(0.878523\pi\) | |||||||
\(642\) | −14.3771 | − | 12.5391i | −0.567420 | − | 0.494880i | ||||
\(643\) | −0.718474 | − | 0.900938i | −0.0283339 | − | 0.0355295i | 0.767463 | − | 0.641094i | \(-0.221519\pi\) |
−0.795797 | + | 0.605564i | \(0.792948\pi\) | |||||||
\(644\) | 0.894672 | − | 10.1358i | 0.0352550 | − | 0.399406i | ||||
\(645\) | 1.52384 | + | 6.67638i | 0.0600011 | + | 0.262882i | ||||
\(646\) | −5.33212 | + | 4.88219i | −0.209789 | + | 0.192087i | ||||
\(647\) | 20.6835 | − | 9.96065i | 0.813152 | − | 0.391594i | 0.0193828 | − | 0.999812i | \(-0.493830\pi\) |
0.793770 | + | 0.608219i | \(0.208116\pi\) | |||||||
\(648\) | 0.223211 | + | 0.291594i | 0.00876854 | + | 0.0114549i | ||||
\(649\) | 14.2207 | − | 4.97604i | 0.558211 | − | 0.195326i | ||||
\(650\) | 0.644343 | + | 2.13909i | 0.0252732 | + | 0.0839019i | ||||
\(651\) | −5.61573 | − | 2.70439i | −0.220098 | − | 0.105993i | ||||
\(652\) | −12.9053 | − | 15.4041i | −0.505410 | − | 0.603272i | ||||
\(653\) | 19.4039 | − | 2.18629i | 0.759332 | − | 0.0855562i | 0.276196 | − | 0.961101i | \(-0.410926\pi\) |
0.483136 | + | 0.875545i | \(0.339498\pi\) | |||||||
\(654\) | −17.4967 | + | 12.7351i | −0.684176 | + | 0.497983i | ||||
\(655\) | −19.3646 | − | 19.3646i | −0.756639 | − | 0.756639i | ||||
\(656\) | 35.1322 | + | 2.24734i | 1.37168 | + | 0.0877439i | ||||
\(657\) | −2.77191 | − | 4.41148i | −0.108143 | − | 0.172108i | ||||
\(658\) | 6.72165 | + | 0.296080i | 0.262037 | + | 0.0115424i | ||||
\(659\) | 37.0851 | + | 12.9766i | 1.44463 | + | 0.505498i | 0.934923 | − | 0.354851i | \(-0.115468\pi\) |
0.509707 | + | 0.860348i | \(0.329754\pi\) | |||||||
\(660\) | −15.5293 | − | 14.7965i | −0.604478 | − | 0.575954i | ||||
\(661\) | −2.07371 | + | 2.60035i | −0.0806580 | + | 0.101142i | −0.820523 | − | 0.571613i | \(-0.806318\pi\) |
0.739865 | + | 0.672755i | \(0.234889\pi\) | |||||||
\(662\) | −11.9597 | + | 2.18098i | −0.464826 | + | 0.0847663i | ||||
\(663\) | 3.34986 | + | 0.764584i | 0.130098 | + | 0.0296940i | ||||
\(664\) | −22.3180 | + | 44.0822i | −0.866106 | + | 1.71072i | ||||
\(665\) | 0.866062 | − | 7.68651i | 0.0335844 | − | 0.298070i | ||||
\(666\) | −4.13286 | + | 7.69599i | −0.160145 | + | 0.298214i | ||||
\(667\) | −14.7611 | + | 31.7598i | −0.571553 | + | 1.22974i | ||||
\(668\) | 17.7749 | − | 11.7770i | 0.687732 | − | 0.455667i | ||||
\(669\) | −6.31074 | − | 0.711049i | −0.243987 | − | 0.0274908i | ||||
\(670\) | −35.0797 | + | 19.9448i | −1.35525 | + | 0.770534i | ||||
\(671\) | 7.14943 | − | 31.3237i | 0.276001 | − | 1.20924i | ||||
\(672\) | −1.02550 | + | 4.58373i | −0.0395594 | + | 0.176821i | ||||
\(673\) | 17.3801 | + | 13.8601i | 0.669952 | + | 0.534269i | 0.898340 | − | 0.439302i | \(-0.144774\pi\) |
−0.228388 | + | 0.973570i | \(0.573345\pi\) | |||||||
\(674\) | 9.42616 | − | 34.2698i | 0.363082 | − | 1.32002i | ||||
\(675\) | 1.01970 | − | 2.91412i | 0.0392481 | − | 0.112165i | ||||
\(676\) | −6.13207 | + | 10.3035i | −0.235849 | + | 0.396290i | ||||
\(677\) | 27.3957 | − | 17.2139i | 1.05290 | − | 0.661583i | 0.109756 | − | 0.993959i | \(-0.464993\pi\) |
0.943147 | + | 0.332376i | \(0.107850\pi\) | |||||||
\(678\) | −4.63574 | + | 29.4326i | −0.178034 | + | 1.13035i | ||||
\(679\) | 2.70046 | − | 2.70046i | 0.103634 | − | 0.103634i | ||||
\(680\) | 7.66990 | + | 2.85601i | 0.294127 | + | 0.109523i | ||||
\(681\) | −1.60067 | − | 14.2063i | −0.0613376 | − | 0.544387i | ||||
\(682\) | −42.0969 | − | 16.8443i | −1.61197 | − | 0.645001i | ||||
\(683\) | 2.53543 | − | 5.26488i | 0.0970156 | − | 0.201455i | −0.846813 | − | 0.531891i | \(-0.821482\pi\) |
0.943828 | + | 0.330436i | \(0.107196\pi\) | |||||||
\(684\) | 3.11485 | − | 15.3471i | 0.119099 | − | 0.586811i | ||||
\(685\) | −2.71086 | − | 7.74718i | −0.103576 | − | 0.296005i | ||||
\(686\) | −14.7770 | + | 1.00905i | −0.564189 | + | 0.0385259i | ||||
\(687\) | 3.65725 | + | 7.59437i | 0.139533 | + | 0.289743i | ||||
\(688\) | 7.33202 | − | 8.07715i | 0.279531 | − | 0.307938i | ||||
\(689\) | −7.55322 | + | 1.72397i | −0.287755 | + | 0.0656782i | ||||
\(690\) | −21.2288 | + | 9.09521i | −0.808166 | + | 0.346249i | ||||
\(691\) | −21.3760 | + | 17.0468i | −0.813183 | + | 0.648492i | −0.939136 | − | 0.343544i | \(-0.888372\pi\) |
0.125954 | + | 0.992036i | \(0.459801\pi\) | |||||||
\(692\) | 15.6931 | − | 5.92052i | 0.596562 | − | 0.225064i | ||||
\(693\) | −3.33021 | + | 5.30000i | −0.126504 | + | 0.201330i | ||||
\(694\) | 42.2177 | + | 29.1948i | 1.60256 | + | 1.10822i | ||||
\(695\) | −15.2452 | −0.578285 | ||||||||
\(696\) | 8.68515 | − | 13.6360i | 0.329210 | − | 0.516869i | ||||
\(697\) | 10.7647 | 0.407741 | ||||||||
\(698\) | −18.5556 | − | 12.8318i | −0.702340 | − | 0.485689i | ||||
\(699\) | −11.0888 | + | 17.6477i | −0.419417 | + | 0.667499i | ||||
\(700\) | −0.873718 | + | 0.329627i | −0.0330235 | + | 0.0124587i | ||||
\(701\) | 20.3212 | − | 16.2056i | 0.767521 | − | 0.612078i | −0.159452 | − | 0.987206i | \(-0.550973\pi\) |
0.926973 | + | 0.375128i | \(0.122401\pi\) | |||||||
\(702\) | −17.7966 | + | 7.62474i | −0.671690 | + | 0.287777i | ||||
\(703\) | 13.4352 | − | 3.06651i | 0.506720 | − | 0.115655i | ||||
\(704\) | −5.17100 | + | 33.7751i | −0.194889 | + | 1.27295i | ||||
\(705\) | −6.62593 | − | 13.7589i | −0.249547 | − | 0.518190i | ||||
\(706\) | −10.3316 | + | 0.705498i | −0.388835 | + | 0.0265518i | ||||
\(707\) | 1.91380 | + | 5.46933i | 0.0719759 | + | 0.205695i | ||||
\(708\) | −1.48945 | + | 7.33861i | −0.0559768 | + | 0.275802i | ||||
\(709\) | 4.27540 | − | 8.87796i | 0.160566 | − | 0.333419i | −0.805128 | − | 0.593101i | \(-0.797903\pi\) |
0.965694 | + | 0.259682i | \(0.0836178\pi\) | |||||||
\(710\) | 26.4067 | + | 10.5661i | 0.991025 | + | 0.396540i | ||||
\(711\) | 2.34079 | + | 20.7751i | 0.0877866 | + | 0.779127i | ||||
\(712\) | −13.8654 | + | 37.2357i | −0.519626 | + | 1.39547i | ||||
\(713\) | −34.5206 | + | 34.5206i | −1.29281 | + | 1.29281i | ||||
\(714\) | −0.223461 | + | 1.41877i | −0.00836283 | + | 0.0530962i | ||||
\(715\) | −22.6440 | + | 14.2281i | −0.846836 | + | 0.532103i | ||||
\(716\) | −0.844848 | + | 1.41958i | −0.0315734 | + | 0.0530520i | ||||
\(717\) | −3.83927 | + | 10.9720i | −0.143380 | + | 0.409757i | ||||
\(718\) | 5.51310 | − | 20.0435i | 0.205747 | − | 0.748015i | ||||
\(719\) | −19.3314 | − | 15.4162i | −0.720938 | − | 0.574929i | 0.192797 | − | 0.981239i | \(-0.438244\pi\) |
−0.913735 | + | 0.406310i | \(0.866815\pi\) | |||||||
\(720\) | −17.0729 | + | 4.77507i | −0.636271 | + | 0.177956i | ||||
\(721\) | 0.763101 | − | 3.34337i | 0.0284194 | − | 0.124513i | ||||
\(722\) | 1.88248 | − | 1.07030i | 0.0700587 | − | 0.0398323i | ||||
\(723\) | 25.6779 | + | 2.89321i | 0.954973 | + | 0.107600i | ||||
\(724\) | 36.8460 | − | 24.4129i | 1.36937 | − | 0.907299i | ||||
\(725\) | 3.21389 | − | 0.0441201i | 0.119361 | − | 0.00163858i | ||||
\(726\) | 5.14314 | − | 9.57728i | 0.190880 | − | 0.355446i | ||||
\(727\) | 0.991505 | − | 8.79985i | 0.0367729 | − | 0.326368i | −0.961835 | − | 0.273629i | \(-0.911776\pi\) |
0.998608 | − | 0.0527397i | \(-0.0167953\pi\) | |||||||
\(728\) | 5.22469 | + | 2.64516i | 0.193640 | + | 0.0980363i | ||||
\(729\) | 15.8210 | + | 3.61104i | 0.585964 | + | 0.133742i | ||||
\(730\) | 9.15365 | − | 1.66927i | 0.338792 | − | 0.0617826i | ||||
\(731\) | 2.07974 | − | 2.60791i | 0.0769220 | − | 0.0964572i | ||||
\(732\) | 11.5613 | + | 11.0157i | 0.427317 | + | 0.407153i | ||||
\(733\) | 19.0805 | + | 6.67656i | 0.704755 | + | 0.246604i | 0.658777 | − | 0.752338i | \(-0.271074\pi\) |
0.0459776 | + | 0.998942i | \(0.485360\pi\) | |||||||
\(734\) | 22.6484 | + | 0.997634i | 0.835969 | + | 0.0368233i | ||||
\(735\) | 8.53418 | + | 13.5821i | 0.314788 | + | 0.500982i | ||||
\(736\) | 31.2343 | + | 19.4391i | 1.15131 | + | 0.716533i | ||||
\(737\) | −36.4261 | − | 36.4261i | −1.34177 | − | 1.34177i | ||||
\(738\) | −18.8523 | + | 13.7218i | −0.693962 | + | 0.505105i | ||||
\(739\) | −4.54368 | + | 0.511950i | −0.167142 | + | 0.0188324i | −0.195139 | − | 0.980776i | \(-0.562516\pi\) |
0.0279968 | + | 0.999608i | \(0.491087\pi\) | |||||||
\(740\) | −10.0187 | − | 11.9586i | −0.368294 | − | 0.439606i | ||||
\(741\) | 10.5786 | + | 5.09437i | 0.388613 | + | 0.187146i | ||||
\(742\) | −0.934047 | − | 3.10084i | −0.0342899 | − | 0.113835i | ||||
\(743\) | 2.18529 | − | 0.764666i | 0.0801705 | − | 0.0280529i | −0.289896 | − | 0.957058i | \(-0.593621\pi\) |
0.370066 | + | 0.929005i | \(0.379335\pi\) | |||||||
\(744\) | 17.8949 | − | 13.6982i | 0.656058 | − | 0.502202i | ||||
\(745\) | −13.1664 | + | 6.34062i | −0.482381 | + | 0.232302i | ||||
\(746\) | −9.44757 | + | 8.65038i | −0.345900 | + | 0.316713i | ||||
\(747\) | −7.28233 | − | 31.9060i | −0.266446 | − | 1.16738i | ||||
\(748\) | −0.918665 | + | 10.4076i | −0.0335897 | + | 0.380540i | ||||
\(749\) | −6.19876 | − | 7.77300i | −0.226498 | − | 0.284019i | ||||
\(750\) | −11.7841 | − | 10.2776i | −0.430295 | − | 0.375285i | ||||
\(751\) | 24.4734 | + | 15.3777i | 0.893047 | + | 0.561138i | 0.898562 | − | 0.438846i | \(-0.144613\pi\) |
−0.00551534 | + | 0.999985i | \(0.501756\pi\) | |||||||
\(752\) | −11.9324 | + | 21.1988i | −0.435130 | + | 0.773040i | ||||
\(753\) | − | 15.1393i | − | 0.551707i | ||||||
\(754\) | −13.8146 | − | 14.6779i | −0.503096 | − | 0.534539i | ||||
\(755\) | − | 18.7033i | − | 0.680683i | ||||||
\(756\) | −3.68656 | − | 7.20463i | −0.134079 | − | 0.262030i | ||||
\(757\) | 6.28429 | + | 3.94868i | 0.228406 | + | 0.143517i | 0.641374 | − | 0.767229i | \(-0.278365\pi\) |
−0.412967 | + | 0.910746i | \(0.635508\pi\) | |||||||
\(758\) | 9.09083 | − | 10.4234i | 0.330194 | − | 0.378594i | ||||
\(759\) | −18.3823 | − | 23.0507i | −0.667235 | − | 0.836686i | ||||
\(760\) | 23.3803 | + | 15.3468i | 0.848093 | + | 0.556686i | ||||
\(761\) | 3.71038 | + | 16.2562i | 0.134501 | + | 0.589288i | 0.996589 | + | 0.0825289i | \(0.0262997\pi\) |
−0.862087 | + | 0.506760i | \(0.830843\pi\) | |||||||
\(762\) | 19.7867 | + | 21.6102i | 0.716797 | + | 0.782855i | ||||
\(763\) | −10.1612 | + | 4.89339i | −0.367861 | + | 0.177153i | ||||
\(764\) | −12.2026 | + | 26.9881i | −0.441476 | + | 0.976394i | ||||
\(765\) | −5.11670 | + | 1.79041i | −0.184995 | + | 0.0647324i | ||||
\(766\) | −33.4484 | + | 10.0754i | −1.20854 | + | 0.364040i | ||||
\(767\) | 8.41154 | + | 4.05078i | 0.303723 | + | 0.146265i | ||||
\(768\) | −13.1112 | − | 10.7938i | −0.473108 | − | 0.389489i | ||||
\(769\) | −48.8719 | + | 5.50654i | −1.76236 | + | 0.198571i | −0.932936 | − | 0.360043i | \(-0.882762\pi\) |
−0.829428 | + | 0.558613i | \(0.811334\pi\) | |||||||
\(770\) | −6.57843 | − | 9.03808i | −0.237070 | − | 0.325710i | ||||
\(771\) | −13.5864 | − | 13.5864i | −0.489303 | − | 0.489303i | ||||
\(772\) | −5.02859 | + | 6.62800i | −0.180983 | + | 0.238547i | ||||
\(773\) | −1.73239 | − | 2.75708i | −0.0623097 | − | 0.0991653i | 0.814116 | − | 0.580702i | \(-0.197222\pi\) |
−0.876426 | + | 0.481536i | \(0.840079\pi\) | |||||||
\(774\) | −0.317957 | + | 7.21832i | −0.0114287 | + | 0.259457i | ||||
\(775\) | 4.22899 | + | 1.47979i | 0.151910 | + | 0.0531555i | ||||
\(776\) | 4.30077 | + | 13.1212i | 0.154389 | + | 0.471023i | ||||
\(777\) | 1.70695 | − | 2.14045i | 0.0612365 | − | 0.0767882i | ||||
\(778\) | 1.03640 | + | 5.68324i | 0.0371569 | + | 0.203754i | ||||
\(779\) | 35.8621 | + | 8.18530i | 1.28489 | + | 0.293269i | ||||
\(780\) | −0.321093 | − | 13.2880i | −0.0114970 | − | 0.475788i | ||||
\(781\) | −4.06530 | + | 36.0806i | −0.145468 | + | 1.29106i | ||||
\(782\) | 9.91080 | + | 5.32225i | 0.354410 | + | 0.190323i | ||||
\(783\) | 3.49853 | + | 27.6352i | 0.125027 | + | 0.987603i | ||||
\(784\) | 9.96176 | − | 23.5303i | 0.355777 | − | 0.840367i | ||||
\(785\) | 33.7947 | + | 3.80775i | 1.20619 | + | 0.135904i | ||||
\(786\) | 8.58823 | + | 15.1053i | 0.306332 | + | 0.538789i | ||||
\(787\) | 2.69493 | − | 11.8073i | 0.0960640 | − | 0.420884i | −0.903913 | − | 0.427717i | \(-0.859318\pi\) |
0.999977 | + | 0.00683316i | \(0.00217508\pi\) | |||||||
\(788\) | −22.0717 | − | 7.12959i | −0.786271 | − | 0.253981i | ||||
\(789\) | 12.7115 | + | 10.1371i | 0.452540 | + | 0.360889i | ||||
\(790\) | −36.0000 | − | 9.90207i | −1.28082 | − | 0.352300i | ||||
\(791\) | −5.12858 | + | 14.6566i | −0.182351 | + | 0.521130i | ||||
\(792\) | −11.6577 | − | 19.3980i | −0.414240 | − | 0.689277i | ||||
\(793\) | 16.8580 | − | 10.5926i | 0.598645 | − | 0.376153i | ||||
\(794\) | −19.5753 | − | 3.08317i | −0.694700 | − | 0.109418i | ||||
\(795\) | −5.19758 | + | 5.19758i | −0.184339 | + | 0.184339i | ||||
\(796\) | 0.488106 | + | 3.55735i | 0.0173005 | + | 0.126087i | ||||
\(797\) | 0.948701 | + | 8.41995i | 0.0336047 | + | 0.298250i | 0.999261 | + | 0.0384284i | \(0.0122352\pi\) |
−0.965657 | + | 0.259822i | \(0.916336\pi\) | |||||||
\(798\) | −1.82327 | + | 4.55667i | −0.0645429 | + | 0.161304i | ||||
\(799\) | −3.22744 | + | 6.70186i | −0.114179 | + | 0.237095i | ||||
\(800\) | 0.363606 | − | 3.35671i | 0.0128554 | − | 0.118678i | ||||
\(801\) | −8.69207 | − | 24.8405i | −0.307119 | − | 0.877696i | ||||
\(802\) | −1.97105 | − | 28.8648i | −0.0696000 | − | 1.01925i | ||||
\(803\) | 5.15374 | + | 10.7018i | 0.181871 | + | 0.377660i | ||||
\(804\) | 24.8170 | − | 6.29873i | 0.875227 | − | 0.222139i | ||||
\(805\) | −11.7343 | + | 2.67828i | −0.413580 | + | 0.0943970i | ||||
\(806\) | −11.0651 | − | 25.8266i | −0.389751 | − | 0.909702i | ||||
\(807\) | −5.98376 | + | 4.77189i | −0.210638 | + | 0.167978i | ||||
\(808\) | −20.7681 | − | 2.75871i | −0.730620 | − | 0.0970510i | ||||
\(809\) | 3.38908 | − | 5.39369i | 0.119154 | − | 0.189632i | −0.781822 | − | 0.623502i | \(-0.785709\pi\) |
0.900976 | + | 0.433870i | \(0.142852\pi\) | |||||||
\(810\) | 0.247065 | − | 0.357272i | 0.00868096 | − | 0.0125533i | ||||
\(811\) | 43.9722 | 1.54407 | 0.772037 | − | 0.635578i | \(-0.219238\pi\) | ||||
0.772037 | + | 0.635578i | \(0.219238\pi\) | |||||||
\(812\) | 5.72777 | − | 6.17910i | 0.201005 | − | 0.216844i | ||||
\(813\) | 13.8337 | 0.485170 | ||||||||
\(814\) | 11.3276 | − | 16.3804i | 0.397031 | − | 0.574134i | ||||
\(815\) | −12.6468 | + | 20.1273i | −0.442999 | + | 0.705029i | ||||
\(816\) | −4.21165 | − | 3.03787i | −0.147437 | − | 0.106347i | ||||
\(817\) | 8.91160 | − | 7.10677i | 0.311778 | − | 0.248634i | ||||
\(818\) | −0.588896 | − | 1.37452i | −0.0205903 | − | 0.0480590i | ||||
\(819\) | −3.78154 | + | 0.863113i | −0.132138 | + | 0.0301596i | ||||
\(820\) | −10.2443 | − | 40.3625i | −0.357747 | − | 1.40952i | ||||
\(821\) | 2.94986 | + | 6.12546i | 0.102951 | + | 0.213780i | 0.946081 | − | 0.323929i | \(-0.105004\pi\) |
−0.843130 | + | 0.537709i | \(0.819290\pi\) | |||||||
\(822\) | 0.354789 | + | 5.19568i | 0.0123747 | + | 0.181220i | ||||
\(823\) | 10.8142 | + | 30.9052i | 0.376960 | + | 1.07729i | 0.963578 | + | 0.267426i | \(0.0861730\pi\) |
−0.586619 | + | 0.809863i | \(0.699541\pi\) | |||||||
\(824\) | 9.53859 | + | 7.92172i | 0.332292 | + | 0.275966i | ||||
\(825\) | −1.17400 | + | 2.43784i | −0.0408734 | + | 0.0848746i | ||||
\(826\) | −1.44977 | + | 3.62324i | −0.0504439 | + | 0.126068i | ||||
\(827\) | −2.87378 | − | 25.5055i | −0.0999312 | − | 0.886914i | −0.939241 | − | 0.343260i | \(-0.888469\pi\) |
0.839309 | − | 0.543654i | \(-0.182960\pi\) | |||||||
\(828\) | −24.1412 | + | 3.31242i | −0.838964 | + | 0.115115i | ||||
\(829\) | 34.0060 | − | 34.0060i | 1.18108 | − | 1.18108i | 0.201614 | − | 0.979465i | \(-0.435381\pi\) |
0.979465 | − | 0.201614i | \(-0.0646186\pi\) | |||||||
\(830\) | 57.7344 | + | 9.09336i | 2.00399 | + | 0.315635i | ||||
\(831\) | −23.7588 | + | 14.9286i | −0.824182 | + | 0.517868i | ||||
\(832\) | −17.0652 | + | 12.5336i | −0.591630 | + | 0.434525i | ||||
\(833\) | 2.58058 | − | 7.37486i | 0.0894117 | − | 0.255524i | ||||
\(834\) | 9.32663 | + | 2.56536i | 0.322955 | + | 0.0888312i | ||||
\(835\) | −19.7193 | − | 15.7256i | −0.682415 | − | 0.544208i | ||||
\(836\) | −10.9743 | + | 33.9740i | −0.379554 | + | 1.17502i | ||||
\(837\) | −8.64040 | + | 37.8561i | −0.298656 | + | 1.30850i | ||||
\(838\) | −12.2488 | − | 21.5436i | −0.423126 | − | 0.744211i | ||||
\(839\) | 22.6363 | + | 2.55050i | 0.781491 | + | 0.0880529i | 0.493691 | − | 0.869637i | \(-0.335647\pi\) |
0.287800 | + | 0.957690i | \(0.407076\pi\) | |||||||
\(840\) | 5.53239 | − | 0.512312i | 0.190886 | − | 0.0176764i | ||||
\(841\) | −25.7728 | + | 13.2951i | −0.888719 | + | 0.458452i | ||||
\(842\) | 34.9233 | + | 18.7543i | 1.20354 | + | 0.646317i | ||||
\(843\) | 1.29560 | − | 11.4987i | 0.0446227 | − | 0.396038i | ||||
\(844\) | −18.2819 | + | 0.441766i | −0.629290 | + | 0.0152062i | ||||
\(845\) | 13.8274 | + | 3.15602i | 0.475678 | + | 0.108570i | ||||
\(846\) | −2.89062 | − | 15.8511i | −0.0993816 | − | 0.544971i | ||||
\(847\) | 3.53232 | − | 4.42939i | 0.121372 | − | 0.152196i | ||||
\(848\) | 11.5279 | + | 2.05109i | 0.395871 | + | 0.0704347i | ||||
\(849\) | −11.3188 | − | 3.96063i | −0.388461 | − | 0.135928i | ||||
\(850\) | 0.0454326 | − | 1.03142i | 0.00155833 | − | 0.0353774i | ||||
\(851\) | −11.4085 | − | 18.1565i | −0.391077 | − | 0.622396i | ||||
\(852\) | −14.3769 | − | 10.9076i | −0.492545 | − | 0.373688i | ||||
\(853\) | 7.59466 | + | 7.59466i | 0.260036 | + | 0.260036i | 0.825069 | − | 0.565033i | \(-0.191136\pi\) |
−0.565033 | + | 0.825069i | \(0.691136\pi\) | |||||||
\(854\) | 4.89751 | + | 6.72867i | 0.167589 | + | 0.230251i | ||||
\(855\) | −18.4075 | + | 2.07403i | −0.629523 | + | 0.0709302i | ||||
\(856\) | 35.1971 | − | 7.30126i | 1.20301 | − | 0.249552i | ||||
\(857\) | −42.4667 | − | 20.4509i | −1.45064 | − | 0.698590i | −0.467931 | − | 0.883765i | \(-0.655000\pi\) |
−0.982705 | + | 0.185176i | \(0.940715\pi\) | |||||||
\(858\) | 16.2472 | − | 4.89404i | 0.554670 | − | 0.167080i | ||||
\(859\) | 28.7871 | − | 10.0731i | 0.982205 | − | 0.343688i | 0.209050 | − | 0.977905i | \(-0.432963\pi\) |
0.773155 | + | 0.634217i | \(0.218677\pi\) | |||||||
\(860\) | −11.7577 | − | 5.31622i | −0.400933 | − | 0.181282i | ||||
\(861\) | 6.58403 | − | 3.17070i | 0.224383 | − | 0.108057i | ||||
\(862\) | −11.2508 | − | 12.2877i | −0.383205 | − | 0.418520i | ||||
\(863\) | 3.59011 | + | 15.7293i | 0.122209 | + | 0.535431i | 0.998554 | + | 0.0537488i | \(0.0171170\pi\) |
−0.876346 | + | 0.481683i | \(0.840026\pi\) | |||||||
\(864\) | 29.2609 | − | 0.125779i | 0.995476 | − | 0.00427909i | ||||
\(865\) | −12.3702 | − | 15.5117i | −0.420599 | − | 0.527415i | ||||
\(866\) | −12.5742 | + | 14.4174i | −0.427290 | + | 0.489922i | ||||
\(867\) | 13.9338 | + | 8.75519i | 0.473217 | + | 0.297342i | ||||
\(868\) | 10.4554 | − | 5.34996i | 0.354880 | − | 0.181589i | ||||
\(869\) | − | 47.6639i | − | 1.61689i | ||||||
\(870\) | −18.5067 | − | 4.81817i | −0.627437 | − | 0.163351i | ||||
\(871\) | − | 31.9221i | − | 1.08164i | ||||||
\(872\) | 0.809814 | − | 40.7690i | 0.0274238 | − | 1.38061i | ||||
\(873\) | −7.74389 | − | 4.86581i | −0.262091 | − | 0.164683i | ||||
\(874\) | 28.9705 | + | 25.2669i | 0.979942 | + | 0.854665i | ||||
\(875\) | −5.08077 | − | 6.37108i | −0.171761 | − | 0.215382i | ||||
\(876\) | −5.88086 | − | 0.519095i | −0.198696 | − | 0.0175386i | ||||
\(877\) | 9.47310 | + | 41.5044i | 0.319884 | + | 1.40150i | 0.837756 | + | 0.546045i | \(0.183867\pi\) |
−0.517872 | + | 0.855458i | \(0.673276\pi\) | |||||||
\(878\) | 21.0457 | − | 19.2698i | 0.710257 | − | 0.650325i | ||||
\(879\) | 6.65044 | − | 3.20268i | 0.224314 | − | 0.108024i | ||||
\(880\) | 39.8979 | − | 6.45993i | 1.34496 | − | 0.217764i | ||||
\(881\) | 6.55566 | − | 2.29393i | 0.220866 | − | 0.0772843i | −0.217578 | − | 0.976043i | \(-0.569816\pi\) |
0.438444 | + | 0.898759i | \(0.355530\pi\) | |||||||
\(882\) | 4.88137 | + | 16.2051i | 0.164364 | + | 0.545655i | ||||
\(883\) | −11.5407 | − | 5.55769i | −0.388374 | − | 0.187031i | 0.229499 | − | 0.973309i | \(-0.426291\pi\) |
−0.617873 | + | 0.786278i | \(0.712006\pi\) | |||||||
\(884\) | −4.96290 | + | 4.15782i | −0.166920 | + | 0.139843i | ||||
\(885\) | 8.80202 | − | 0.991750i | 0.295877 | − | 0.0333373i | ||||
\(886\) | −18.1733 | + | 13.2276i | −0.610545 | + | 0.444390i | ||||
\(887\) | 16.6278 | + | 16.6278i | 0.558308 | + | 0.558308i | 0.928825 | − | 0.370518i | \(-0.120820\pi\) |
−0.370518 | + | 0.928825i | \(0.620820\pi\) | |||||||
\(888\) | 4.11686 | + | 9.00182i | 0.138153 | + | 0.302081i | ||||
\(889\) | 8.12414 | + | 12.9295i | 0.272475 | + | 0.433641i | ||||
\(890\) | 46.9546 | + | 2.06829i | 1.57392 | + | 0.0693291i | ||||
\(891\) | 0.523403 | + | 0.183147i | 0.0175347 | + | 0.00613565i | ||||
\(892\) | 8.25467 | − | 8.66348i | 0.276387 | − | 0.290075i | ||||
\(893\) | −15.8481 | + | 19.8729i | −0.530337 | + | 0.665021i | ||||
\(894\) | 9.12183 | − | 1.66347i | 0.305080 | − | 0.0556348i | ||||
\(895\) | 1.90508 | + | 0.434822i | 0.0636798 | + | 0.0145345i | ||||
\(896\) | −5.71289 | − | 6.75982i | −0.190854 | − | 0.225830i | ||||
\(897\) | 2.04557 | − | 18.1549i | 0.0682995 | − | 0.606175i | ||||
\(898\) | 7.65296 | − | 14.2509i | 0.255383 | − | 0.475560i | ||||
\(899\) | −40.1044 | + | 5.07709i | −1.33756 | + | 0.169330i | ||||
\(900\) | 1.23519 | + | 1.86425i | 0.0411729 | + | 0.0621416i | ||||
\(901\) | 3.55786 | + | 0.400874i | 0.118529 | + | 0.0133551i | ||||
\(902\) | 46.2128 | − | 26.2746i | 1.53872 | − | 0.874849i | ||||
\(903\) | 0.503886 | − | 2.20767i | 0.0167683 | − | 0.0734666i | ||||
\(904\) | −38.9029 | − | 40.4797i | −1.29389 | − | 1.34633i | ||||
\(905\) | −40.8767 | − | 32.5981i | −1.35879 | − | 1.08360i | ||||
\(906\) | −3.14726 | + | 11.4422i | −0.104561 | + | 0.380141i | ||||
\(907\) | −3.98534 | + | 11.3894i | −0.132331 | + | 0.378180i | −0.990914 | − | 0.134493i | \(-0.957059\pi\) |
0.858583 | + | 0.512674i | \(0.171345\pi\) | |||||||
\(908\) | 23.1486 | + | 13.7767i | 0.768214 | + | 0.457196i | ||||
\(909\) | 11.7496 | − | 7.38276i | 0.389710 | − | 0.244871i | ||||
\(910\) | 1.07776 | − | 6.84277i | 0.0357274 | − | 0.226836i | ||||
\(911\) | −9.78510 | + | 9.78510i | −0.324195 | + | 0.324195i | −0.850374 | − | 0.526179i | \(-0.823624\pi\) |
0.526179 | + | 0.850374i | \(0.323624\pi\) | |||||||
\(912\) | −11.7210 | − | 13.3230i | −0.388121 | − | 0.441170i | ||||
\(913\) | 8.35385 | + | 74.1424i | 0.276472 | + | 2.45376i | ||||
\(914\) | −4.02007 | − | 1.60855i | −0.132972 | − | 0.0532062i | ||||
\(915\) | 8.19584 | − | 17.0188i | 0.270946 | − | 0.562625i | ||||
\(916\) | −15.5654 | − | 3.15916i | −0.514297 | − | 0.104382i | ||||
\(917\) | 2.99088 | + | 8.54744i | 0.0987675 | + | 0.282261i | ||||
\(918\) | 8.92669 | − | 0.609562i | 0.294625 | − | 0.0201186i | ||||
\(919\) | −17.2711 | − | 35.8638i | −0.569721 | − | 1.18304i | −0.964456 | − | 0.264242i | \(-0.914878\pi\) |
0.394736 | − | 0.918795i | \(-0.370836\pi\) | |||||||
\(920\) | 10.5242 | − | 42.2259i | 0.346974 | − | 1.39215i | ||||
\(921\) | −16.9176 | + | 3.86132i | −0.557453 | + | 0.127235i | ||||
\(922\) | 5.31243 | − | 2.27605i | 0.174956 | − | 0.0749576i | ||||
\(923\) | −17.5909 | + | 14.0283i | −0.579013 | + | 0.461747i | ||||
\(924\) | 2.50364 | + | 6.63623i | 0.0823639 | + | 0.218316i | ||||
\(925\) | −1.04701 | + | 1.66631i | −0.0344256 | + | 0.0547880i | ||||
\(926\) | −8.41007 | − | 5.81582i | −0.276372 | − | 0.191120i | ||||
\(927\) | −8.21253 | −0.269735 | ||||||||
\(928\) | 10.5780 | + | 28.5676i | 0.347239 | + | 0.937777i | ||||
\(929\) | −57.0980 | −1.87333 | −0.936663 | − | 0.350233i | \(-0.886102\pi\) | ||||
−0.936663 | + | 0.350233i | \(0.886102\pi\) | |||||||
\(930\) | −21.9255 | − | 15.1621i | −0.718965 | − | 0.497186i | ||||
\(931\) | 14.2048 | − | 22.6069i | 0.465544 | − | 0.740910i | ||||
\(932\) | −13.8627 | − | 36.7448i | −0.454087 | − | 1.20362i | ||||
\(933\) | −25.5499 | + | 20.3754i | −0.836466 | + | 0.667059i | ||||
\(934\) | 17.9578 | − | 7.69378i | 0.587596 | − | 0.251748i | ||||
\(935\) | 12.0490 | − | 2.75011i | 0.394044 | − | 0.0899381i | ||||
\(936\) | 3.39158 | − | 13.6079i | 0.110857 | − | 0.444787i | ||||
\(937\) | −9.75579 | − | 20.2581i | −0.318708 | − | 0.661804i | 0.678649 | − | 0.734463i | \(-0.262566\pi\) |
−0.997357 | + | 0.0726591i | \(0.976852\pi\) | |||||||
\(938\) | 13.3125 | − | 0.909051i | 0.434669 | − | 0.0296816i | ||||
\(939\) | −7.09624 | − | 20.2799i | −0.231577 | − | 0.661809i | ||||
\(940\) | 28.2003 | + | 5.72353i | 0.919791 | + | 0.186681i | ||||
\(941\) | 3.94342 | − | 8.18859i | 0.128552 | − | 0.266940i | −0.826752 | − | 0.562567i | \(-0.809814\pi\) |
0.955304 | + | 0.295626i | \(0.0955283\pi\) | |||||||
\(942\) | −20.0340 | − | 8.01622i | −0.652742 | − | 0.261182i | ||||
\(943\) | −6.40856 | − | 56.8775i | −0.208691 | − | 1.85219i | ||||
\(944\) | −9.31995 | − | 10.5938i | −0.303339 | − | 0.344799i | ||||
\(945\) | −6.76923 | + | 6.76923i | −0.220203 | + | 0.220203i | ||||
\(946\) | 2.56290 | − | 16.2721i | 0.0833272 | − | 0.529051i | ||||
\(947\) | −50.3140 | + | 31.6144i | −1.63498 | + | 1.02733i | −0.678902 | + | 0.734229i | \(0.737544\pi\) |
−0.956082 | + | 0.293100i | \(0.905313\pi\) | |||||||
\(948\) | 20.3576 | + | 12.1156i | 0.661184 | + | 0.393498i | ||||
\(949\) | −2.43105 | + | 6.94753i | −0.0789151 | + | 0.225526i | ||||
\(950\) | 0.935633 | − | 3.40159i | 0.0303559 | − | 0.110362i | ||||
\(951\) | 19.0419 | + | 15.1854i | 0.617477 | + | 0.492422i | ||||
\(952\) | −1.87527 | − | 1.95128i | −0.0607780 | − | 0.0632415i | ||||
\(953\) | 1.09074 | − | 4.77886i | 0.0353327 | − | 0.154803i | −0.954184 | − | 0.299220i | \(-0.903274\pi\) |
0.989517 | + | 0.144417i | \(0.0461308\pi\) | |||||||
\(954\) | −6.74190 | + | 3.83315i | −0.218277 | + | 0.124103i | ||||
\(955\) | 34.8150 | + | 3.92271i | 1.12659 | + | 0.126936i | ||||
\(956\) | −12.0980 | − | 18.2593i | −0.391276 | − | 0.590547i | ||||
\(957\) | −0.335109 | − | 24.4107i | −0.0108325 | − | 0.789086i | ||||
\(958\) | 17.9407 | − | 33.4081i | 0.579637 | − | 1.07937i | ||||
\(959\) | −0.303878 | + | 2.69699i | −0.00981272 | + | 0.0870903i | ||||
\(960\) | −7.38254 | + | 18.6827i | −0.238270 | + | 0.602983i | ||||
\(961\) | −24.7142 | − | 5.64085i | −0.797232 | − | 0.181963i | ||||
\(962\) | 12.1410 | − | 2.21405i | 0.391441 | − | 0.0713837i | ||||
\(963\) | −14.8447 | + | 18.6146i | −0.478362 | + | 0.599847i | ||||
\(964\) | −33.5877 | + | 35.2511i | −1.08179 | + | 1.13536i | ||||
\(965\) | 9.28897 | + | 3.25035i | 0.299022 | + | 0.104632i | ||||
\(966\) | 7.62943 | + | 0.336066i | 0.245473 | + | 0.0108127i | ||||
\(967\) | 23.7769 | + | 37.8407i | 0.764612 | + | 1.21687i | 0.971158 | + | 0.238437i | \(0.0766349\pi\) |
−0.206546 | + | 0.978437i | \(0.566222\pi\) | |||||||
\(968\) | 8.51932 | + | 18.6281i | 0.273821 | + | 0.598731i | ||||
\(969\) | −3.83681 | − | 3.83681i | −0.123256 | − | 0.123256i | ||||
\(970\) | 13.2057 | − | 9.61183i | 0.424008 | − | 0.308617i | ||||
\(971\) | −32.3192 | + | 3.64150i | −1.03717 | + | 0.116861i | −0.614095 | − | 0.789232i | \(-0.710479\pi\) |
−0.423078 | + | 0.906093i | \(0.639050\pi\) | |||||||
\(972\) | −24.0018 | + | 20.1083i | −0.769858 | + | 0.644973i | ||||
\(973\) | 4.54190 | + | 2.18726i | 0.145606 | + | 0.0701204i | ||||
\(974\) | 8.52142 | + | 28.2893i | 0.273044 | + | 0.906449i | ||||
\(975\) | −1.58262 | + | 0.553782i | −0.0506844 | + | 0.0177352i | ||||
\(976\) | −29.7032 | + | 4.80929i | −0.950778 | + | 0.153942i | ||||
\(977\) | −8.97436 | + | 4.32182i | −0.287115 | + | 0.138267i | −0.571898 | − | 0.820325i | \(-0.693793\pi\) |
0.284783 | + | 0.958592i | \(0.408078\pi\) | |||||||
\(978\) | 11.1239 | − | 10.1852i | 0.355702 | − | 0.325688i | ||||
\(979\) | 13.3512 | + | 58.4954i | 0.426706 | + | 1.86952i | ||||
\(980\) | −30.1081 | − | 2.65760i | −0.961769 | − | 0.0848940i | ||||
\(981\) | 16.8396 | + | 21.1162i | 0.537646 | + | 0.674187i | ||||
\(982\) | 19.0201 | + | 16.5886i | 0.606956 | + | 0.529362i | ||||
\(983\) | −7.01502 | − | 4.40783i | −0.223744 | − | 0.140588i | 0.415496 | − | 0.909595i | \(-0.363608\pi\) |
−0.639240 | + | 0.769007i | \(0.720751\pi\) | |||||||
\(984\) | −0.524724 | + | 26.4166i | −0.0167276 | + | 0.842129i | ||||
\(985\) | 27.4366i | 0.874201i | ||||||||
\(986\) | 3.78557 | + | 8.51109i | 0.120557 | + | 0.271048i | ||||
\(987\) | 5.04971i | 0.160734i | ||||||||
\(988\) | −19.6953 | + | 10.0779i | −0.626590 | + | 0.320622i | ||||
\(989\) | −15.0176 | − | 9.43620i | −0.477533 | − | 0.300054i | ||||
\(990\) | −17.5960 | + | 20.1752i | −0.559237 | + | 0.641210i | ||||
\(991\) | 19.9500 | + | 25.0164i | 0.633731 | + | 0.794674i | 0.990203 | − | 0.139632i | \(-0.0445920\pi\) |
−0.356472 | + | 0.934306i | \(0.616021\pi\) | |||||||
\(992\) | 0.182531 | + | 42.4636i | 0.00579538 | + | 1.34822i | ||||
\(993\) | −2.03032 | − | 8.89540i | −0.0644301 | − | 0.282287i | ||||
\(994\) | −6.35119 | − | 6.93650i | −0.201448 | − | 0.220012i | ||||
\(995\) | 3.82674 | − | 1.84286i | 0.121316 | − | 0.0584226i | ||||
\(996\) | −33.7902 | − | 15.2782i | −1.07068 | − | 0.484109i | ||||
\(997\) | −5.61224 | + | 1.96381i | −0.177741 | + | 0.0621944i | −0.417683 | − | 0.908593i | \(-0.637158\pi\) |
0.239941 | + | 0.970787i | \(0.422872\pi\) | |||||||
\(998\) | −49.5642 | + | 14.9299i | −1.56893 | + | 0.472598i | ||||
\(999\) | −15.3663 | − | 7.40000i | −0.486167 | − | 0.234126i |
(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 | 116.2.l.b.31.2 | yes | 144 | |
4.3 | odd | 2 | inner | 116.2.l.b.31.1 | yes | 144 | |
29.15 | odd | 28 | inner | 116.2.l.b.15.1 | ✓ | 144 | |
116.15 | even | 28 | inner | 116.2.l.b.15.2 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
116.2.l.b.15.1 | ✓ | 144 | 29.15 | odd | 28 | inner | |
116.2.l.b.15.2 | yes | 144 | 116.15 | even | 28 | inner | |
116.2.l.b.31.1 | yes | 144 | 4.3 | odd | 2 | inner | |
116.2.l.b.31.2 | yes | 144 | 1.1 | even | 1 | trivial |