Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [531,2,Mod(19,531)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(531, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([0, 38]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("531.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 531 = 3^{2} \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 531.i (of order \(29\), degree \(28\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.24005634733\) |
Analytic rank: | \(0\) |
Dimension: | \(140\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{29})\) |
Twist minimal: | no (minimal twist has level 177) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{29}]$ |
Embedding invariants
Embedding label | 46.2 | ||
Character | \(\chi\) | \(=\) | 531.46 |
Dual form | 531.2.i.c.127.2 |
$q$-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 \(\left(\mathbb{Z}/531\mathbb{Z}\right)^\times\).
\(n\) | \(119\) | \(415\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{8}{29}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.15330 | − | 1.35777i | −0.815505 | − | 0.960087i | 0.184235 | − | 0.982882i | \(-0.441019\pi\) |
−0.999740 | + | 0.0227952i | \(0.992743\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.189873 | + | 1.15817i | −0.0949363 | + | 0.579086i | ||||
\(5\) | 1.46043 | − | 2.75467i | 0.653126 | − | 1.23193i | −0.306827 | − | 0.951765i | \(-0.599267\pi\) |
0.959953 | − | 0.280161i | \(-0.0903879\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.72018 | − | 0.187081i | 0.650167 | − | 0.0707099i | 0.222908 | − | 0.974839i | \(-0.428445\pi\) |
0.427259 | + | 0.904129i | \(0.359479\pi\) | |||||||
\(8\) | −1.26142 | + | 0.758972i | −0.445980 | + | 0.268337i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −5.42452 | + | 1.19403i | −1.71538 | + | 0.377585i | ||||
\(11\) | 3.50223 | − | 1.18004i | 1.05596 | − | 0.355795i | 0.262829 | − | 0.964842i | \(-0.415345\pi\) |
0.793134 | + | 0.609047i | \(0.208448\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.873623 | − | 3.14651i | −0.242300 | − | 0.872684i | −0.980239 | − | 0.197817i | \(-0.936615\pi\) |
0.737939 | − | 0.674867i | \(-0.235799\pi\) | |||||||
\(14\) | −2.23789 | − | 2.11985i | −0.598102 | − | 0.566553i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 4.70970 | + | 1.58688i | 1.17742 | + | 0.396720i | ||||
\(17\) | −1.83403 | − | 0.199462i | −0.444817 | − | 0.0483767i | −0.117030 | − | 0.993128i | \(-0.537337\pi\) |
−0.327787 | + | 0.944752i | \(0.606303\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.157535 | − | 2.90556i | −0.0361410 | − | 0.666581i | −0.959339 | − | 0.282257i | \(-0.908917\pi\) |
0.923198 | − | 0.384325i | \(-0.125566\pi\) | |||||||
\(20\) | 2.91308 | + | 2.21447i | 0.651386 | + | 0.495170i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −5.64134 | − | 3.39428i | −1.20274 | − | 0.723663i | ||||
\(23\) | 7.49743 | + | 3.46868i | 1.56332 | + | 0.723270i | 0.995032 | − | 0.0995574i | \(-0.0317427\pi\) |
0.568291 | + | 0.822828i | \(0.307605\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.64941 | − | 3.90759i | −0.529882 | − | 0.781517i | ||||
\(26\) | −3.26468 | + | 4.81504i | −0.640256 | + | 0.944307i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.109943 | + | 2.02779i | −0.0207773 | + | 0.383215i | ||||
\(29\) | −1.36377 | + | 1.60555i | −0.253245 | + | 0.298143i | −0.874064 | − | 0.485811i | \(-0.838524\pi\) |
0.620819 | + | 0.783954i | \(0.286800\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.0823814 | + | 1.51944i | −0.0147961 | + | 0.272899i | 0.981769 | + | 0.190080i | \(0.0608749\pi\) |
−0.996565 | + | 0.0828183i | \(0.973608\pi\) | |||||||
\(32\) | −2.18727 | − | 5.48964i | −0.386659 | − | 0.970440i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 1.84436 | + | 2.72022i | 0.316304 | + | 0.466514i | ||||
\(35\) | 1.99686 | − | 5.01175i | 0.337532 | − | 0.847141i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.78180 | − | 1.07207i | −0.292926 | − | 0.176248i | 0.361503 | − | 0.932371i | \(-0.382264\pi\) |
−0.654430 | + | 0.756123i | \(0.727091\pi\) | |||||||
\(38\) | −3.76339 | + | 3.56487i | −0.610503 | + | 0.578299i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.248496 | + | 4.58323i | 0.0392906 | + | 0.724672i | ||||
\(41\) | −5.46309 | + | 2.52749i | −0.853191 | + | 0.394728i | −0.797209 | − | 0.603704i | \(-0.793691\pi\) |
−0.0559819 | + | 0.998432i | \(0.517829\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −6.73289 | − | 2.26858i | −1.02676 | − | 0.345955i | −0.244990 | − | 0.969526i | \(-0.578785\pi\) |
−0.781767 | + | 0.623571i | \(0.785681\pi\) | |||||||
\(44\) | 0.701710 | + | 4.28024i | 0.105787 | + | 0.645271i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −3.93711 | − | 14.1802i | −0.580496 | − | 2.09076i | ||||
\(47\) | −6.21469 | − | 11.7222i | −0.906506 | − | 1.70985i | −0.676177 | − | 0.736739i | \(-0.736365\pi\) |
−0.230329 | − | 0.973113i | \(-0.573980\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −3.91232 | + | 0.861167i | −0.558903 | + | 0.123024i | ||||
\(50\) | −2.25004 | + | 8.10390i | −0.318203 | + | 1.14606i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 3.81007 | − | 0.414370i | 0.528362 | − | 0.0574628i | ||||
\(53\) | −1.87607 | − | 0.412954i | −0.257698 | − | 0.0567235i | 0.0842425 | − | 0.996445i | \(-0.473153\pi\) |
−0.341940 | + | 0.939722i | \(0.611084\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.86416 | − | 11.3709i | 0.251363 | − | 1.53325i | ||||
\(56\) | −2.02788 | + | 1.54156i | −0.270987 | + | 0.205999i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 3.75280 | 0.492767 | ||||||||
\(59\) | 4.93927 | + | 5.88249i | 0.643038 | + | 0.765834i | ||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 8.38208 | + | 9.86815i | 1.07322 | + | 1.26349i | 0.962977 | + | 0.269582i | \(0.0868855\pi\) |
0.110238 | + | 0.993905i | \(0.464839\pi\) | |||||||
\(62\) | 2.15805 | − | 1.64051i | 0.274073 | − | 0.208345i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.275238 | + | 0.519153i | −0.0344047 | + | 0.0648942i | ||||
\(65\) | −9.94346 | − | 2.18872i | −1.23333 | − | 0.271477i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −9.28244 | + | 5.58506i | −1.13403 | + | 0.682323i | −0.953544 | − | 0.301254i | \(-0.902595\pi\) |
−0.180486 | + | 0.983578i | \(0.557767\pi\) | |||||||
\(68\) | 0.579243 | − | 2.08624i | 0.0702435 | − | 0.252994i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −9.10778 | + | 3.06877i | −1.08859 | + | 0.366788i | ||||
\(71\) | −5.63672 | − | 10.6320i | −0.668956 | − | 1.26178i | −0.952999 | − | 0.302973i | \(-0.902021\pi\) |
0.284043 | − | 0.958812i | \(-0.408324\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 8.12186 | + | 7.69344i | 0.950592 | + | 0.900449i | 0.995131 | − | 0.0985588i | \(-0.0314232\pi\) |
−0.0445389 | + | 0.999008i | \(0.514182\pi\) | |||||||
\(74\) | 0.599321 | + | 3.65570i | 0.0696697 | + | 0.424966i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 3.39505 | + | 0.369234i | 0.389439 | + | 0.0423540i | ||||
\(77\) | 5.80371 | − | 2.68508i | 0.661394 | − | 0.305993i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 3.62730 | + | 2.75740i | 0.408103 | + | 0.310232i | 0.789009 | − | 0.614382i | \(-0.210595\pi\) |
−0.380905 | + | 0.924614i | \(0.624388\pi\) | |||||||
\(80\) | 11.2495 | − | 10.6561i | 1.25774 | − | 1.19139i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 9.73232 | + | 4.50265i | 1.07475 | + | 0.497234i | ||||
\(83\) | −5.51813 | + | 13.8495i | −0.605694 | + | 1.52018i | 0.231254 | + | 0.972893i | \(0.425717\pi\) |
−0.836947 | + | 0.547283i | \(0.815662\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −3.22793 | + | 4.76084i | −0.350118 | + | 0.516385i | ||||
\(86\) | 4.68484 | + | 11.7581i | 0.505179 | + | 1.26790i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −3.52217 | + | 4.14662i | −0.375465 | + | 0.442032i | ||||
\(89\) | 7.04180 | − | 8.29025i | 0.746430 | − | 0.878765i | −0.249548 | − | 0.968362i | \(-0.580282\pi\) |
0.995978 | + | 0.0895974i | \(0.0285580\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.09144 | − | 5.24912i | −0.219243 | − | 0.550258i | ||||
\(92\) | −5.44088 | + | 8.02470i | −0.567251 | + | 0.836633i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −8.74857 | + | 21.9573i | −0.902346 | + | 2.26472i | ||||
\(95\) | −8.23393 | − | 3.80942i | −0.844784 | − | 0.390839i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 4.83488 | − | 4.57985i | 0.490908 | − | 0.465013i | −0.401749 | − | 0.915750i | \(-0.631597\pi\) |
0.892657 | + | 0.450737i | \(0.148839\pi\) | |||||||
\(98\) | 5.68134 | + | 4.31884i | 0.573902 | + | 0.436269i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 5.02871 | − | 2.32653i | 0.502871 | − | 0.232653i | ||||
\(101\) | 15.2319 | + | 1.65657i | 1.51563 | + | 0.164834i | 0.827793 | − | 0.561033i | \(-0.189596\pi\) |
0.687835 | + | 0.725868i | \(0.258561\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.0496378 | + | 0.302777i | 0.00489096 | + | 0.0298335i | 0.989159 | − | 0.146847i | \(-0.0469124\pi\) |
−0.984268 | + | 0.176680i | \(0.943464\pi\) | |||||||
\(104\) | 3.49012 | + | 3.30602i | 0.342234 | + | 0.324181i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.60297 | + | 3.02352i | 0.155694 | + | 0.293671i | ||||
\(107\) | 8.94857 | − | 3.01513i | 0.865091 | − | 0.291483i | 0.148446 | − | 0.988921i | \(-0.452573\pi\) |
0.716646 | + | 0.697437i | \(0.245676\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −2.19974 | + | 7.92274i | −0.210697 | + | 0.758861i | 0.780350 | + | 0.625343i | \(0.215041\pi\) |
−0.991046 | + | 0.133518i | \(0.957373\pi\) | |||||||
\(110\) | −17.5889 | + | 10.5829i | −1.67704 | + | 1.00904i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 8.39840 | + | 1.84863i | 0.793574 | + | 0.174679i | ||||
\(113\) | 5.07446 | − | 9.57144i | 0.477365 | − | 0.900405i | −0.521522 | − | 0.853238i | \(-0.674636\pi\) |
0.998887 | − | 0.0471676i | \(-0.0150195\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 20.5046 | − | 15.5872i | 1.91206 | − | 1.45351i | ||||
\(116\) | −1.60056 | − | 1.88433i | −0.148608 | − | 0.174955i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 2.29060 | − | 13.4906i | 0.210867 | − | 1.24191i | ||||
\(119\) | −3.19217 | −0.292626 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.11611 | − | 1.60863i | 0.192374 | − | 0.146239i | ||||
\(122\) | 3.73162 | − | 22.7618i | 0.337845 | − | 2.06076i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −1.74412 | − | 0.383911i | −0.156627 | − | 0.0344762i | ||||
\(125\) | 0.864532 | − | 0.0940235i | 0.0773261 | − | 0.00840972i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 4.44261 | − | 16.0008i | 0.394217 | − | 1.41984i | −0.454382 | − | 0.890807i | \(-0.650140\pi\) |
0.848599 | − | 0.529036i | \(-0.177446\pi\) | |||||||
\(128\) | −10.5200 | + | 2.31564i | −0.929849 | + | 0.204675i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 8.49600 | + | 16.0252i | 0.745149 | + | 1.40550i | ||||
\(131\) | 2.36612 | + | 8.52199i | 0.206729 | + | 0.744570i | 0.992090 | + | 0.125532i | \(0.0400636\pi\) |
−0.785361 | + | 0.619038i | \(0.787523\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.814563 | − | 4.96862i | −0.0706316 | − | 0.430834i | ||||
\(134\) | 18.2886 | + | 6.16216i | 1.57990 | + | 0.532329i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 2.46487 | − | 1.14037i | 0.211360 | − | 0.0977858i | ||||
\(137\) | 0.215073 | + | 3.96678i | 0.0183749 | + | 0.338905i | 0.993238 | + | 0.116099i | \(0.0370390\pi\) |
−0.974863 | + | 0.222806i | \(0.928478\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 10.0470 | − | 9.51705i | 0.852178 | − | 0.807226i | −0.130712 | − | 0.991420i | \(-0.541726\pi\) |
0.982890 | + | 0.184195i | \(0.0589677\pi\) | |||||||
\(140\) | 5.42532 | + | 3.26430i | 0.458523 | + | 0.275884i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −7.93495 | + | 19.9152i | −0.665886 | + | 1.67125i | ||||
\(143\) | −6.77263 | − | 9.98889i | −0.566356 | − | 0.835313i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.43107 | + | 6.10153i | 0.201890 | + | 0.506705i | ||||
\(146\) | 1.07897 | − | 19.9004i | 0.0892962 | − | 1.64697i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 1.57996 | − | 1.86007i | 0.129872 | − | 0.152897i | ||||
\(149\) | −0.0906432 | + | 1.67182i | −0.00742578 | + | 0.136960i | 0.992470 | + | 0.122492i | \(0.0390885\pi\) |
−0.999895 | + | 0.0144688i | \(0.995394\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 3.60975 | − | 5.32399i | 0.293758 | − | 0.433260i | −0.651958 | − | 0.758255i | \(-0.726052\pi\) |
0.945716 | + | 0.324995i | \(0.105363\pi\) | |||||||
\(152\) | 2.40396 | + | 3.54557i | 0.194987 | + | 0.287584i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −10.3391 | − | 4.78339i | −0.833151 | − | 0.385457i | ||||
\(155\) | 4.06523 | + | 2.44597i | 0.326527 | + | 0.196465i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 17.6957 | + | 13.4519i | 1.41227 | + | 1.07358i | 0.985585 | + | 0.169182i | \(0.0541126\pi\) |
0.426687 | + | 0.904399i | \(0.359680\pi\) | |||||||
\(158\) | −0.439448 | − | 8.10515i | −0.0349606 | − | 0.644811i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −18.3165 | − | 1.99204i | −1.44805 | − | 0.157485i | ||||
\(161\) | 13.5459 | + | 4.56413i | 1.06756 | + | 0.359704i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −7.99829 | − | 7.57638i | −0.626474 | − | 0.593428i | 0.307159 | − | 0.951658i | \(-0.400622\pi\) |
−0.933633 | + | 0.358230i | \(0.883380\pi\) | |||||||
\(164\) | −1.88998 | − | 6.80709i | −0.147583 | − | 0.531544i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 25.1684 | − | 8.48023i | 1.95345 | − | 0.658193i | ||||
\(167\) | −10.9883 | + | 2.41870i | −0.850298 | + | 0.187165i | −0.618681 | − | 0.785642i | \(-0.712333\pi\) |
−0.231617 | + | 0.972807i | \(0.574402\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 2.00185 | − | 1.20448i | 0.153989 | − | 0.0926520i | ||||
\(170\) | 10.1869 | − | 1.10789i | 0.781298 | − | 0.0849712i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 3.90579 | − | 7.36710i | 0.297814 | − | 0.561736i | ||||
\(173\) | −3.42431 | + | 20.8874i | −0.260345 | + | 1.58804i | 0.455798 | + | 0.890083i | \(0.349354\pi\) |
−0.716143 | + | 0.697954i | \(0.754094\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −5.28850 | − | 6.22610i | −0.399773 | − | 0.470649i | ||||
\(176\) | 18.3670 | 1.38447 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −19.3775 | −1.45241 | ||||||||
\(179\) | 4.10258 | + | 4.82993i | 0.306641 | + | 0.361006i | 0.893800 | − | 0.448466i | \(-0.148029\pi\) |
−0.587159 | + | 0.809472i | \(0.699754\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −0.567860 | + | 3.46379i | −0.0422087 | + | 0.257462i | −0.999498 | − | 0.0316687i | \(-0.989918\pi\) |
0.957290 | + | 0.289130i | \(0.0933661\pi\) | |||||||
\(182\) | −4.71503 | + | 8.89350i | −0.349502 | + | 0.659230i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −12.0901 | + | 1.31487i | −0.891291 | + | 0.0969337i | ||||
\(185\) | −5.55542 | + | 3.34258i | −0.408443 | + | 0.245752i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −6.65856 | + | 1.46566i | −0.486922 | + | 0.107180i | ||||
\(188\) | 14.7563 | − | 4.97196i | 1.07621 | − | 0.362618i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 4.32387 | + | 15.5732i | 0.313687 | + | 1.12980i | ||||
\(191\) | 18.7660 | + | 17.7761i | 1.35786 | + | 1.28623i | 0.922513 | + | 0.385966i | \(0.126132\pi\) |
0.435344 | + | 0.900264i | \(0.356627\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −6.71264 | − | 2.26175i | −0.483186 | − | 0.162804i | 0.0671579 | − | 0.997742i | \(-0.478607\pi\) |
−0.550344 | + | 0.834938i | \(0.685503\pi\) | |||||||
\(194\) | −11.7944 | − | 1.28272i | −0.846791 | − | 0.0920941i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.254537 | − | 4.69465i | −0.0181812 | − | 0.335332i | ||||
\(197\) | −16.8902 | − | 12.8396i | −1.20338 | − | 0.914783i | −0.205420 | − | 0.978674i | \(-0.565856\pi\) |
−0.997957 | + | 0.0638904i | \(0.979649\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 6.65262 | + | 4.00275i | 0.471592 | + | 0.283748i | 0.731445 | − | 0.681901i | \(-0.238846\pi\) |
−0.259853 | + | 0.965648i | \(0.583674\pi\) | |||||||
\(200\) | 6.30777 | + | 2.91829i | 0.446027 | + | 0.206354i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −15.3177 | − | 22.5919i | −1.07775 | − | 1.58956i | ||||
\(203\) | −2.04556 | + | 3.01697i | −0.143570 | + | 0.211750i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.01607 | + | 18.7402i | −0.0709652 | + | 1.30888i | ||||
\(206\) | 0.353854 | − | 0.416589i | 0.0246542 | − | 0.0290252i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0.878633 | − | 16.2054i | 0.0609222 | − | 1.12364i | ||||
\(209\) | −3.98040 | − | 9.99005i | −0.275330 | − | 0.691026i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.0947909 | + | 0.139806i | 0.00652567 | + | 0.00962465i | 0.830938 | − | 0.556365i | \(-0.187804\pi\) |
−0.824412 | + | 0.565990i | \(0.808494\pi\) | |||||||
\(212\) | 0.834485 | − | 2.09440i | 0.0573126 | − | 0.143844i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −14.4142 | − | 8.67275i | −0.985336 | − | 0.592857i | ||||
\(215\) | −16.0821 | + | 15.2338i | −1.09679 | + | 1.03894i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.142547 | + | 2.62912i | 0.00967669 | + | 0.178476i | ||||
\(218\) | 13.2942 | − | 6.15055i | 0.900397 | − | 0.416568i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 12.8155 | + | 4.31803i | 0.864018 | + | 0.291122i | ||||
\(221\) | 0.974638 | + | 5.94503i | 0.0655612 | + | 0.399906i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.40355 | + | 12.2585i | 0.227918 | + | 0.820888i | 0.985719 | + | 0.168401i | \(0.0538603\pi\) |
−0.757800 | + | 0.652487i | \(0.773726\pi\) | |||||||
\(224\) | −4.78951 | − | 9.03397i | −0.320013 | − | 0.603608i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −18.8482 | + | 4.14879i | −1.25376 | + | 0.275974i | ||||
\(227\) | −0.166243 | + | 0.598754i | −0.0110339 | + | 0.0397407i | −0.968862 | − | 0.247601i | \(-0.920358\pi\) |
0.957828 | + | 0.287342i | \(0.0927716\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 6.28906 | − | 0.683976i | 0.415593 | − | 0.0451984i | 0.102065 | − | 0.994778i | \(-0.467455\pi\) |
0.313527 | + | 0.949579i | \(0.398489\pi\) | |||||||
\(230\) | −44.8117 | − | 9.86380i | −2.95480 | − | 0.650400i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.501717 | − | 3.06034i | 0.0329393 | − | 0.200921i | ||||
\(233\) | −17.6167 | + | 13.3918i | −1.15411 | + | 0.877329i | −0.993958 | − | 0.109764i | \(-0.964990\pi\) |
−0.160148 | + | 0.987093i | \(0.551197\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −41.3668 | −2.69847 | ||||||||
\(236\) | −7.75076 | + | 4.60359i | −0.504531 | + | 0.299668i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 3.68153 | + | 4.33423i | 0.238638 | + | 0.280946i | ||||
\(239\) | 2.69488 | − | 2.04859i | 0.174317 | − | 0.132512i | −0.514378 | − | 0.857564i | \(-0.671977\pi\) |
0.688695 | + | 0.725051i | \(0.258184\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 2.38613 | − | 4.50071i | 0.153704 | − | 0.289916i | −0.794687 | − | 0.607019i | \(-0.792365\pi\) |
0.948391 | + | 0.317103i | \(0.102710\pi\) | |||||||
\(242\) | −4.62466 | − | 1.01796i | −0.297284 | − | 0.0654372i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −13.0205 | + | 7.83420i | −0.833554 | + | 0.501533i | ||||
\(245\) | −3.34146 | + | 12.0348i | −0.213478 | + | 0.768878i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −9.00474 | + | 3.03405i | −0.572958 | + | 0.193052i | ||||
\(248\) | −1.04929 | − | 1.97917i | −0.0666301 | − | 0.125678i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −1.12473 | − | 1.06540i | −0.0711339 | − | 0.0673816i | ||||
\(251\) | −1.31480 | − | 8.01990i | −0.0829891 | − | 0.506211i | −0.995310 | − | 0.0967356i | \(-0.969160\pi\) |
0.912321 | − | 0.409476i | \(-0.134288\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 30.3509 | + | 3.30086i | 1.90815 | + | 0.207523i | ||||
\(254\) | −26.8491 | + | 12.4217i | −1.68466 | + | 0.779406i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 16.2124 | + | 12.3244i | 1.01328 | + | 0.770273i | ||||
\(257\) | 6.33161 | − | 5.99762i | 0.394955 | − | 0.374121i | −0.464292 | − | 0.885682i | \(-0.653691\pi\) |
0.859247 | + | 0.511561i | \(0.170933\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −3.26559 | − | 1.51082i | −0.202914 | − | 0.0938779i | ||||
\(260\) | 4.42290 | − | 11.1007i | 0.274297 | − | 0.688433i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 8.84205 | − | 13.0410i | 0.546263 | − | 0.805678i | ||||
\(263\) | −5.60169 | − | 14.0592i | −0.345415 | − | 0.866927i | −0.994357 | − | 0.106089i | \(-0.966167\pi\) |
0.648941 | − | 0.760838i | \(-0.275212\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −3.87742 | + | 4.56486i | −0.238188 | + | 0.280417i | ||||
\(266\) | −5.80680 | + | 6.83629i | −0.356037 | + | 0.419160i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −4.70597 | − | 11.8111i | −0.287463 | − | 0.721478i | ||||
\(269\) | 8.52087 | − | 12.5673i | 0.519526 | − | 0.766244i | −0.473917 | − | 0.880570i | \(-0.657160\pi\) |
0.993443 | + | 0.114325i | \(0.0364707\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −3.13725 | + | 7.87391i | −0.190574 | + | 0.478306i | −0.992953 | − | 0.118510i | \(-0.962188\pi\) |
0.802378 | + | 0.596816i | \(0.203568\pi\) | |||||||
\(272\) | −8.32118 | − | 3.84979i | −0.504546 | − | 0.233428i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 5.13793 | − | 4.86691i | 0.310394 | − | 0.294021i | ||||
\(275\) | −13.8900 | − | 10.5589i | −0.837596 | − | 0.636724i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 6.53504 | − | 3.02343i | 0.392653 | − | 0.181660i | −0.213621 | − | 0.976917i | \(-0.568526\pi\) |
0.606274 | + | 0.795256i | \(0.292664\pi\) | |||||||
\(278\) | −24.5092 | − | 2.66553i | −1.46996 | − | 0.159868i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 1.28489 | + | 7.83749i | 0.0767870 | + | 0.468380i | ||||
\(281\) | 11.2470 | + | 10.6538i | 0.670942 | + | 0.635550i | 0.945348 | − | 0.326064i | \(-0.105723\pi\) |
−0.274406 | + | 0.961614i | \(0.588481\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 8.44984 | + | 15.9381i | 0.502291 | + | 0.947421i | 0.996928 | + | 0.0783212i | \(0.0249560\pi\) |
−0.494638 | + | 0.869099i | \(0.664699\pi\) | |||||||
\(284\) | 13.3839 | − | 4.50957i | 0.794190 | − | 0.267594i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −5.75172 | + | 20.7158i | −0.340107 | + | 1.22495i | ||||
\(287\) | −8.92465 | + | 5.36978i | −0.526805 | + | 0.316968i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −13.2787 | − | 2.92286i | −0.781099 | − | 0.171933i | ||||
\(290\) | 5.48072 | − | 10.3377i | 0.321839 | − | 0.607052i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −10.4524 | + | 7.94574i | −0.611683 | + | 0.464989i | ||||
\(293\) | 8.37900 | + | 9.86452i | 0.489506 | + | 0.576291i | 0.950347 | − | 0.311191i | \(-0.100728\pi\) |
−0.460841 | + | 0.887483i | \(0.652452\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 23.4178 | − | 5.01507i | 1.36344 | − | 0.291989i | ||||
\(296\) | 3.06128 | 0.177933 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 2.37448 | − | 1.80503i | 0.137550 | − | 0.104563i | ||||
\(299\) | 4.36430 | − | 26.6210i | 0.252394 | − | 1.53954i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −12.0062 | − | 2.64277i | −0.692026 | − | 0.152326i | ||||
\(302\) | −11.3919 | + | 1.23894i | −0.655528 | + | 0.0712930i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 3.86884 | − | 13.9343i | 0.221893 | − | 0.799187i | ||||
\(305\) | 39.4250 | − | 8.67810i | 2.25747 | − | 0.496906i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −14.9524 | − | 28.2031i | −0.853376 | − | 1.60964i | −0.791187 | − | 0.611574i | \(-0.790537\pi\) |
−0.0621893 | − | 0.998064i | \(-0.519808\pi\) | |||||||
\(308\) | 2.00782 | + | 7.23151i | 0.114406 | + | 0.412054i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −1.36737 | − | 8.34058i | −0.0776613 | − | 0.473713i | ||||
\(311\) | 13.3291 | + | 4.49111i | 0.755826 | + | 0.254668i | 0.670726 | − | 0.741705i | \(-0.265983\pi\) |
0.0850999 | + | 0.996372i | \(0.472879\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 16.5100 | − | 7.63833i | 0.933200 | − | 0.431744i | 0.106452 | − | 0.994318i | \(-0.466051\pi\) |
0.826747 | + | 0.562574i | \(0.190189\pi\) | |||||||
\(314\) | −2.14384 | − | 39.5408i | −0.120984 | − | 2.23142i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −3.88227 | + | 3.67748i | −0.218395 | + | 0.206875i | ||||
\(317\) | −8.74979 | − | 5.26457i | −0.491437 | − | 0.295688i | 0.248182 | − | 0.968713i | \(-0.420167\pi\) |
−0.739619 | + | 0.673026i | \(0.764994\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −2.88162 | + | 7.23231i | −0.161340 | + | 0.404932i | ||||
\(320\) | 1.02813 | + | 1.51638i | 0.0574742 | + | 0.0847681i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −9.42539 | − | 23.6560i | −0.525257 | − | 1.31829i | ||||
\(323\) | −0.290627 | + | 5.36029i | −0.0161709 | + | 0.298255i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −9.98066 | + | 11.7501i | −0.553628 | + | 0.651781i | ||||
\(326\) | −1.06255 | + | 19.5976i | −0.0588494 | + | 1.08541i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 4.97296 | − | 7.33456i | 0.274586 | − | 0.404983i | ||||
\(329\) | −12.8834 | − | 19.0016i | −0.710284 | − | 1.04759i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −17.3630 | − | 8.03298i | −0.954357 | − | 0.441533i | −0.120011 | − | 0.992773i | \(-0.538293\pi\) |
−0.834347 | + | 0.551240i | \(0.814155\pi\) | |||||||
\(332\) | −14.9923 | − | 9.02058i | −0.822810 | − | 0.495068i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 15.9568 | + | 12.1300i | 0.873117 | + | 0.663726i | ||||
\(335\) | 1.82861 | + | 33.7267i | 0.0999075 | + | 1.84268i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −29.7222 | − | 3.23249i | −1.61907 | − | 0.176085i | −0.746782 | − | 0.665069i | \(-0.768402\pi\) |
−0.872292 | + | 0.488984i | \(0.837367\pi\) | |||||||
\(338\) | −3.94414 | − | 1.32893i | −0.214533 | − | 0.0722845i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −4.90097 | − | 4.64244i | −0.265792 | − | 0.251772i | ||||
\(341\) | 1.50448 | + | 5.41863i | 0.0814719 | + | 0.293435i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −18.0470 | + | 6.08075i | −0.974448 | + | 0.328330i | ||||
\(344\) | 10.2148 | − | 2.24845i | 0.550745 | − | 0.121228i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 32.3095 | − | 19.4400i | 1.73697 | − | 1.04510i | ||||
\(347\) | 13.1544 | − | 1.43062i | 0.706163 | − | 0.0767999i | 0.252011 | − | 0.967724i | \(-0.418908\pi\) |
0.454152 | + | 0.890924i | \(0.349942\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −9.17190 | + | 17.3000i | −0.490961 | + | 0.926050i | 0.506983 | + | 0.861956i | \(0.330761\pi\) |
−0.997944 | + | 0.0640939i | \(0.979584\pi\) | |||||||
\(350\) | −2.35438 | + | 14.3611i | −0.125847 | + | 0.767634i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −14.1383 | − | 16.6449i | −0.753575 | − | 0.887177i | ||||
\(353\) | −28.2752 | −1.50494 | −0.752468 | − | 0.658629i | \(-0.771137\pi\) | ||||
−0.752468 | + | 0.658629i | \(0.771137\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −37.5197 | −1.99134 | ||||||||
\(356\) | 8.26449 | + | 9.72971i | 0.438017 | + | 0.515673i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 1.82642 | − | 11.1407i | 0.0965295 | − | 0.588804i | ||||
\(359\) | 2.76101 | − | 5.20781i | 0.145720 | − | 0.274858i | −0.799898 | − | 0.600136i | \(-0.795113\pi\) |
0.945618 | + | 0.325278i | \(0.105458\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 10.4712 | − | 1.13881i | 0.551113 | − | 0.0599372i | ||||
\(362\) | 5.35794 | − | 3.22376i | 0.281607 | − | 0.169437i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 6.47649 | − | 1.42558i | 0.339460 | − | 0.0747209i | ||||
\(365\) | 33.0543 | − | 11.1373i | 1.73014 | − | 0.582953i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −5.51147 | − | 19.8505i | −0.287696 | − | 1.03619i | −0.956256 | − | 0.292530i | \(-0.905503\pi\) |
0.668560 | − | 0.743658i | \(-0.266911\pi\) | |||||||
\(368\) | 29.8062 | + | 28.2340i | 1.55376 | + | 1.47180i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 10.9455 | + | 3.68797i | 0.569030 | + | 0.191729i | ||||
\(371\) | −3.30443 | − | 0.359378i | −0.171557 | − | 0.0186580i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 0.828051 | + | 15.2725i | 0.0428749 | + | 0.790780i | 0.938354 | + | 0.345676i | \(0.112351\pi\) |
−0.895479 | + | 0.445104i | \(0.853167\pi\) | |||||||
\(374\) | 9.66933 | + | 7.35043i | 0.499989 | + | 0.380082i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 16.7361 | + | 10.0698i | 0.863100 | + | 0.519310i | ||||
\(377\) | 6.24330 | + | 2.88846i | 0.321546 | + | 0.148763i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 9.60702 | + | 14.1693i | 0.493479 | + | 0.727828i | 0.990134 | − | 0.140120i | \(-0.0447489\pi\) |
−0.496655 | + | 0.867948i | \(0.665439\pi\) | |||||||
\(380\) | 5.97536 | − | 8.81300i | 0.306530 | − | 0.452097i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 2.49301 | − | 45.9809i | 0.127554 | − | 2.35259i | ||||
\(383\) | −20.9952 | + | 24.7175i | −1.07280 | + | 1.26300i | −0.109674 | + | 0.993968i | \(0.534981\pi\) |
−0.963130 | + | 0.269035i | \(0.913295\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.07942 | − | 19.9087i | 0.0550122 | − | 1.01464i | ||||
\(386\) | 4.67074 | + | 11.7227i | 0.237735 | + | 0.596669i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 4.38623 | + | 6.46921i | 0.222677 | + | 0.328424i | ||||
\(389\) | −2.50229 | + | 6.28027i | −0.126871 | + | 0.318422i | −0.978668 | − | 0.205451i | \(-0.934134\pi\) |
0.851796 | + | 0.523873i | \(0.175513\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −13.0586 | − | 7.85711i | −0.660402 | − | 0.397351i | ||||
\(392\) | 4.28148 | − | 4.05564i | 0.216248 | − | 0.204841i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 2.04625 | + | 37.7409i | 0.103089 | + | 1.90136i | ||||
\(395\) | 12.8932 | − | 5.96502i | 0.648726 | − | 0.300133i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 31.5449 | + | 10.6287i | 1.58319 | + | 0.533439i | 0.967135 | − | 0.254263i | \(-0.0818329\pi\) |
0.616056 | + | 0.787702i | \(0.288729\pi\) | |||||||
\(398\) | −2.23765 | − | 13.6491i | −0.112163 | − | 0.684167i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −6.27704 | − | 22.6078i | −0.313852 | − | 1.13039i | ||||
\(401\) | 0.971028 | + | 1.83155i | 0.0484908 | + | 0.0914634i | 0.906573 | − | 0.422049i | \(-0.138689\pi\) |
−0.858082 | + | 0.513512i | \(0.828344\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 4.85289 | − | 1.06820i | 0.241739 | − | 0.0532109i | ||||
\(404\) | −4.81070 | + | 17.3266i | −0.239341 | + | 0.862030i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 6.45549 | − | 0.702077i | 0.320381 | − | 0.0348435i | ||||
\(407\) | −7.50538 | − | 1.65206i | −0.372028 | − | 0.0818895i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −2.05729 | + | 12.5489i | −0.101726 | + | 0.620503i | 0.885924 | + | 0.463830i | \(0.153525\pi\) |
−0.987651 | + | 0.156673i | \(0.949923\pi\) | |||||||
\(410\) | 26.6167 | − | 20.2335i | 1.31451 | − | 0.999262i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −0.360093 | −0.0177405 | ||||||||
\(413\) | 9.59693 | + | 9.19490i | 0.472234 | + | 0.452451i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 30.0919 | + | 35.4269i | 1.47715 | + | 1.73904i | ||||
\(416\) | −15.3623 | + | 11.6781i | −0.753200 | + | 0.572568i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −8.97358 | + | 16.9260i | −0.438912 | + | 0.827876i | ||||
\(419\) | 4.21147 | + | 0.927016i | 0.205744 | + | 0.0452877i | 0.316647 | − | 0.948544i | \(-0.397443\pi\) |
−0.110903 | + | 0.993831i | \(0.535374\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −19.0210 | + | 11.4445i | −0.927025 | + | 0.557772i | −0.897123 | − | 0.441780i | \(-0.854347\pi\) |
−0.0299017 | + | 0.999553i | \(0.509519\pi\) | |||||||
\(422\) | 0.0805021 | − | 0.289942i | 0.00391878 | − | 0.0141142i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 2.67993 | − | 0.902974i | 0.130149 | − | 0.0438523i | ||||
\(425\) | 4.07967 | + | 7.69507i | 0.197893 | + | 0.373266i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 16.2648 | + | 15.4069i | 0.787111 | + | 0.745591i | ||||
\(428\) | 1.79294 | + | 10.9365i | 0.0866652 | + | 0.528634i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 39.2315 | + | 4.26668i | 1.89191 | + | 0.205758i | ||||
\(431\) | −1.61486 | + | 0.747115i | −0.0777852 | + | 0.0359873i | −0.458396 | − | 0.888748i | \(-0.651576\pi\) |
0.380611 | + | 0.924735i | \(0.375714\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 22.9317 | + | 17.4322i | 1.10203 | + | 0.837740i | 0.987802 | − | 0.155715i | \(-0.0497681\pi\) |
0.114226 | + | 0.993455i | \(0.463561\pi\) | |||||||
\(434\) | 3.40533 | − | 3.22570i | 0.163461 | − | 0.154839i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −8.75822 | − | 4.05199i | −0.419443 | − | 0.194055i | ||||
\(437\) | 8.89736 | − | 22.3307i | 0.425618 | − | 1.06822i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −3.43005 | + | 5.05895i | −0.163707 | + | 0.241450i | −0.900691 | − | 0.434460i | \(-0.856939\pi\) |
0.736984 | + | 0.675911i | \(0.236250\pi\) | |||||||
\(440\) | 6.27868 | + | 15.7583i | 0.299324 | + | 0.751248i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 6.94792 | − | 8.17973i | 0.330479 | − | 0.389070i | ||||
\(443\) | 24.7776 | − | 29.1705i | 1.17722 | − | 1.38593i | 0.271296 | − | 0.962496i | \(-0.412548\pi\) |
0.905926 | − | 0.423436i | \(-0.139176\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −12.5528 | − | 31.5052i | −0.595061 | − | 1.49349i | ||||
\(446\) | 12.7188 | − | 18.7589i | 0.602255 | − | 0.888260i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −0.376335 | + | 0.944529i | −0.0177801 | + | 0.0446248i | ||||
\(449\) | −12.0082 | − | 5.55557i | −0.566701 | − | 0.262184i | 0.115550 | − | 0.993302i | \(-0.463137\pi\) |
−0.682251 | + | 0.731118i | \(0.738999\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −16.1505 | + | 15.2985i | −0.760495 | + | 0.720379i | ||||
\(452\) | 10.1219 | + | 7.69444i | 0.476093 | + | 0.361916i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 1.00470 | − | 0.464822i | 0.0471528 | − | 0.0218152i | ||||
\(455\) | −17.5140 | − | 1.90476i | −0.821070 | − | 0.0892967i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −1.47951 | − | 9.02461i | −0.0692086 | − | 0.422154i | −0.998592 | − | 0.0530389i | \(-0.983109\pi\) |
0.929384 | − | 0.369115i | \(-0.120339\pi\) | |||||||
\(458\) | −8.18184 | − | 7.75025i | −0.382312 | − | 0.362145i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 14.1594 | + | 26.7074i | 0.660184 | + | 1.24524i | ||||
\(461\) | −36.7671 | + | 12.3883i | −1.71242 | + | 0.576980i | −0.993054 | − | 0.117657i | \(-0.962462\pi\) |
−0.719361 | + | 0.694637i | \(0.755565\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 10.4668 | − | 37.6980i | 0.486434 | − | 1.75198i | −0.158123 | − | 0.987419i | \(-0.550544\pi\) |
0.644556 | − | 0.764557i | \(-0.277042\pi\) | |||||||
\(464\) | −8.97075 | + | 5.39752i | −0.416457 | + | 0.250574i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 38.5003 | + | 8.47455i | 1.78349 | + | 0.392576i | ||||
\(467\) | −1.48278 | + | 2.79682i | −0.0686148 | + | 0.129421i | −0.915446 | − | 0.402440i | \(-0.868162\pi\) |
0.846832 | + | 0.531861i | \(0.178507\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −14.9226 | + | 11.3439i | −0.689062 | + | 0.523811i | ||||
\(470\) | 47.7083 | + | 56.1666i | 2.20062 | + | 2.59077i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −10.6951 | − | 3.67153i | −0.492284 | − | 0.168996i | ||||
\(473\) | −26.2572 | −1.20731 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −10.9364 | + | 8.31360i | −0.501794 | + | 0.381454i | ||||
\(476\) | 0.606106 | − | 3.69708i | 0.0277808 | − | 0.169455i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −5.88951 | − | 1.29638i | −0.269380 | − | 0.0592951i | ||||
\(479\) | −21.1071 | + | 2.29554i | −0.964410 | + | 0.104886i | −0.576754 | − | 0.816918i | \(-0.695681\pi\) |
−0.387656 | + | 0.921804i | \(0.626715\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.81667 | + | 6.54304i | −0.0828329 | + | 0.298337i | ||||
\(482\) | −8.86284 | + | 1.95086i | −0.403691 | + | 0.0888592i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 1.46128 | + | 2.75626i | 0.0664216 | + | 0.125284i | ||||
\(485\) | −5.55494 | − | 20.0071i | −0.252237 | − | 0.908475i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −3.14184 | − | 19.1644i | −0.142371 | − | 0.868422i | −0.957350 | − | 0.288932i | \(-0.906700\pi\) |
0.814979 | − | 0.579490i | \(-0.196748\pi\) | |||||||
\(488\) | −18.0630 | − | 6.08613i | −0.817673 | − | 0.275506i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 20.1942 | − | 9.34284i | 0.912282 | − | 0.422066i | ||||
\(491\) | 0.259992 | + | 4.79528i | 0.0117333 | + | 0.216408i | 0.998520 | + | 0.0543838i | \(0.0173194\pi\) |
−0.986787 | + | 0.162024i | \(0.948198\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 2.82143 | − | 2.67260i | 0.127071 | − | 0.120368i | ||||
\(494\) | 14.5047 | + | 8.72718i | 0.652597 | + | 0.392655i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −2.79916 | + | 7.02535i | −0.125686 | + | 0.315448i | ||||
\(497\) | −11.6852 | − | 17.2344i | −0.524154 | − | 0.773069i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 5.01934 | + | 12.5976i | 0.224696 | + | 0.563946i | 0.997497 | − | 0.0707029i | \(-0.0225242\pi\) |
−0.772801 | + | 0.634648i | \(0.781145\pi\) | |||||||
\(500\) | −0.0552555 | + | 1.01913i | −0.00247110 | + | 0.0455768i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −9.37281 | + | 11.0345i | −0.418329 | + | 0.492495i | ||||
\(503\) | 1.93924 | − | 35.7671i | 0.0864663 | − | 1.59478i | −0.557800 | − | 0.829975i | \(-0.688354\pi\) |
0.644266 | − | 0.764801i | \(-0.277163\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 26.8084 | − | 39.5395i | 1.19296 | − | 1.75948i | ||||
\(506\) | −30.5219 | − | 45.0164i | −1.35686 | − | 2.00122i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 17.6882 | + | 8.18341i | 0.784785 | + | 0.363080i | ||||
\(509\) | 29.9505 | + | 18.0206i | 1.32753 | + | 0.798749i | 0.989796 | − | 0.142492i | \(-0.0455116\pi\) |
0.337735 | + | 0.941241i | \(0.390339\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 15.4104 | + | 11.7147i | 0.681715 | + | 0.518226i | ||||
\(512\) | −0.797781 | − | 14.7142i | −0.0352573 | − | 0.650282i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −15.4456 | − | 1.67981i | −0.681277 | − | 0.0740933i | ||||
\(515\) | 0.906545 | + | 0.305450i | 0.0399471 | + | 0.0134598i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −35.5979 | − | 33.7201i | −1.56559 | − | 1.48301i | ||||
\(518\) | 1.71485 | + | 6.17634i | 0.0753463 | + | 0.271373i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 14.2041 | − | 4.78591i | 0.622890 | − | 0.209876i | ||||
\(521\) | 27.3778 | − | 6.02630i | 1.19944 | − | 0.264017i | 0.430056 | − | 0.902802i | \(-0.358494\pi\) |
0.769385 | + | 0.638785i | \(0.220563\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −21.7043 | + | 13.0590i | −0.949061 | + | 0.571031i | −0.903805 | − | 0.427944i | \(-0.859238\pi\) |
−0.0452559 | + | 0.998975i | \(0.514410\pi\) | |||||||
\(524\) | −10.3192 | + | 1.12228i | −0.450796 | + | 0.0490270i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −12.6287 | + | 23.8203i | −0.550637 | + | 1.03861i | ||||
\(527\) | 0.454160 | − | 2.77025i | 0.0197835 | − | 0.120674i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 29.2899 | + | 34.4827i | 1.27347 | + | 1.49925i | ||||
\(530\) | 10.6698 | 0.463468 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 5.90917 | 0.256195 | ||||||||
\(533\) | 12.7255 | + | 14.9816i | 0.551201 | + | 0.648923i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 4.76312 | − | 29.0538i | 0.205928 | − | 1.25610i | ||||
\(536\) | 7.47016 | − | 14.0902i | 0.322662 | − | 0.608605i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −26.8906 | + | 2.92453i | −1.15934 | + | 0.126086i | ||||
\(539\) | −12.6856 | + | 7.63270i | −0.546410 | + | 0.328764i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −10.8443 | + | 2.38700i | −0.466231 | + | 0.102625i | −0.441872 | − | 0.897078i | \(-0.645686\pi\) |
−0.0243590 | + | 0.999703i | \(0.507754\pi\) | |||||||
\(542\) | 14.3091 | − | 4.82131i | 0.614630 | − | 0.207093i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 2.91654 | + | 10.5044i | 0.125045 | + | 0.450373i | ||||
\(545\) | 18.6120 | + | 17.6302i | 0.797250 | + | 0.755195i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 27.4694 | + | 9.25551i | 1.17451 | + | 0.395737i | 0.837855 | − | 0.545892i | \(-0.183809\pi\) |
0.336651 | + | 0.941630i | \(0.390706\pi\) | |||||||
\(548\) | −4.63505 | − | 0.504092i | −0.198000 | − | 0.0215338i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 1.68277 | + | 31.0369i | 0.0717536 | + | 1.32342i | ||||
\(551\) | 4.87987 | + | 3.70958i | 0.207889 | + | 0.158033i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 6.75547 | + | 4.06463i | 0.287272 | + | 0.172846i | ||||
\(554\) | −11.6420 | − | 5.38615i | −0.494620 | − | 0.228836i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 9.11472 | + | 13.4432i | 0.386550 | + | 0.570119i | ||||
\(557\) | −26.0304 | + | 38.3920i | −1.10295 | + | 1.62672i | −0.398136 | + | 0.917326i | \(0.630343\pi\) |
−0.704810 | + | 0.709396i | \(0.748968\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −1.25608 | + | 23.1670i | −0.0531264 | + | 0.979859i | ||||
\(560\) | 17.3577 | − | 20.4350i | 0.733496 | − | 0.863538i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 1.49414 | − | 27.5578i | 0.0630266 | − | 1.16246i | ||||
\(563\) | 2.05673 | + | 5.16200i | 0.0866808 | + | 0.217552i | 0.965927 | − | 0.258816i | \(-0.0833323\pi\) |
−0.879246 | + | 0.476368i | \(0.841953\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −18.9553 | − | 27.9569i | −0.797454 | − | 1.17616i | ||||
\(566\) | 11.8950 | − | 29.8543i | 0.499986 | − | 1.25487i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 15.1797 | + | 9.13330i | 0.636925 | + | 0.383225i | ||||
\(569\) | 9.16401 | − | 8.68061i | 0.384175 | − | 0.363910i | −0.471104 | − | 0.882078i | \(-0.656144\pi\) |
0.855279 | + | 0.518168i | \(0.173386\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 1.17732 | + | 21.7144i | 0.0492693 | + | 0.908719i | 0.913806 | + | 0.406150i | \(0.133129\pi\) |
−0.864537 | + | 0.502569i | \(0.832388\pi\) | |||||||
\(572\) | 12.8548 | − | 5.94725i | 0.537485 | − | 0.248667i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 17.5837 | + | 5.92464i | 0.733930 | + | 0.247290i | ||||
\(575\) | −6.30960 | − | 38.4868i | −0.263128 | − | 1.60501i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −2.42464 | − | 8.73276i | −0.100939 | − | 0.363550i | 0.895779 | − | 0.444499i | \(-0.146618\pi\) |
−0.996718 | + | 0.0809498i | \(0.974205\pi\) | |||||||
\(578\) | 11.3457 | + | 21.4003i | 0.471920 | + | 0.890135i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −7.52822 | + | 1.65709i | −0.312592 | + | 0.0688067i | ||||
\(581\) | −6.90121 | + | 24.8559i | −0.286311 | + | 1.03120i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −7.05772 | + | 0.767574i | −0.292301 | + | 0.0317897i | ||||
\(584\) | −16.0842 | − | 3.54040i | −0.665569 | − | 0.146503i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 3.73024 | − | 22.7535i | 0.154095 | − | 0.939937i | ||||
\(587\) | −9.50150 | + | 7.22285i | −0.392169 | + | 0.298119i | −0.782614 | − | 0.622507i | \(-0.786114\pi\) |
0.390445 | + | 0.920626i | \(0.372321\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 4.42779 | 0.182444 | ||||||||
\(590\) | −33.8170 | − | 26.0121i | −1.39222 | − | 1.07090i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −6.69049 | − | 7.87666i | −0.274977 | − | 0.323729i | ||||
\(593\) | −0.601740 | + | 0.457431i | −0.0247105 | + | 0.0187844i | −0.617457 | − | 0.786605i | \(-0.711837\pi\) |
0.592746 | + | 0.805389i | \(0.298044\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −4.66196 | + | 8.79338i | −0.191122 | + | 0.360493i | ||||
\(596\) | −1.91904 | − | 0.422412i | −0.0786069 | − | 0.0173027i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −41.1786 | + | 24.7763i | −1.68392 | + | 1.01318i | ||||
\(599\) | −6.38483 | + | 22.9961i | −0.260877 | + | 0.939594i | 0.710822 | + | 0.703372i | \(0.248323\pi\) |
−0.971699 | + | 0.236222i | \(0.924091\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −10.1760 | + | 3.42870i | −0.415088 | + | 0.139860i | −0.519094 | − | 0.854717i | \(-0.673731\pi\) |
0.104006 | + | 0.994577i | \(0.466834\pi\) | |||||||
\(602\) | 10.2585 | + | 19.3495i | 0.418104 | + | 0.788628i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 5.48070 | + | 5.19159i | 0.223006 | + | 0.211243i | ||||
\(605\) | −1.34080 | − | 8.17850i | −0.0545111 | − | 0.332503i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −19.4890 | − | 2.11956i | −0.791035 | − | 0.0860303i | −0.296324 | − | 0.955088i | \(-0.595761\pi\) |
−0.494711 | + | 0.869057i | \(0.664726\pi\) | |||||||
\(608\) | −15.6059 | + | 7.22006i | −0.632903 | + | 0.292812i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −57.2516 | − | 43.5216i | −2.31805 | − | 1.76214i | ||||
\(611\) | −31.4545 | + | 29.7953i | −1.27251 | + | 1.20539i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 24.9841 | + | 11.5589i | 1.00910 | + | 0.466858i | 0.853573 | − | 0.520974i | \(-0.174431\pi\) |
0.155525 | + | 0.987832i | \(0.450293\pi\) | |||||||
\(614\) | −21.0488 | + | 52.8285i | −0.849460 | + | 2.13198i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −5.28302 | + | 7.79187i | −0.212859 | + | 0.313944i | ||||
\(617\) | 2.40077 | + | 6.02547i | 0.0966512 | + | 0.242576i | 0.969351 | − | 0.245682i | \(-0.0790118\pi\) |
−0.872699 | + | 0.488258i | \(0.837633\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 25.2182 | − | 29.6892i | 1.01360 | − | 1.19331i | 0.0325715 | − | 0.999469i | \(-0.489630\pi\) |
0.981033 | − | 0.193839i | \(-0.0620938\pi\) | |||||||
\(620\) | −3.60473 | + | 4.24381i | −0.144769 | + | 0.170436i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −9.27459 | − | 23.2775i | −0.371877 | − | 0.933342i | ||||
\(623\) | 10.5622 | − | 15.5781i | 0.423167 | − | 0.624124i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 9.74085 | − | 24.4477i | 0.389634 | − | 0.977908i | ||||
\(626\) | −29.4120 | − | 13.6075i | −1.17554 | − | 0.543863i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −18.9396 | + | 17.9405i | −0.755771 | + | 0.715905i | ||||
\(629\) | 3.05403 | + | 2.32161i | 0.121772 | + | 0.0925689i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −8.75573 | + | 4.05083i | −0.348560 | + | 0.161261i | −0.586355 | − | 0.810054i | \(-0.699438\pi\) |
0.237795 | + | 0.971315i | \(0.423575\pi\) | |||||||
\(632\) | −6.66835 | − | 0.725227i | −0.265253 | − | 0.0288480i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 2.94305 | + | 17.9518i | 0.116883 | + | 0.712957i | ||||
\(635\) | −37.5889 | − | 35.6061i | −1.49167 | − | 1.41298i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 6.12756 | + | 11.5578i | 0.242783 | + | 0.457937i | ||||
\(638\) | 13.1432 | − | 4.42845i | 0.520343 | − | 0.175324i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −8.98501 | + | 32.3611i | −0.355164 | + | 1.27918i | ||||
\(641\) | −3.97894 | + | 2.39405i | −0.157159 | + | 0.0945592i | −0.591961 | − | 0.805967i | \(-0.701646\pi\) |
0.434802 | + | 0.900526i | \(0.356818\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 26.2753 | + | 5.78364i | 1.03620 | + | 0.228084i | 0.700326 | − | 0.713823i | \(-0.253038\pi\) |
0.335872 | + | 0.941908i | \(0.390969\pi\) | |||||||
\(644\) | −7.85803 | + | 14.8218i | −0.309650 | + | 0.584062i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 7.61322 | − | 5.78742i | 0.299538 | − | 0.227703i | ||||
\(647\) | −2.77715 | − | 3.26951i | −0.109181 | − | 0.128538i | 0.704857 | − | 0.709349i | \(-0.251011\pi\) |
−0.814038 | + | 0.580812i | \(0.802735\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 24.2400 | + | 14.7733i | 0.951504 | + | 0.579903i | ||||
\(650\) | 27.4647 | 1.07725 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 10.2934 | − | 7.82484i | 0.403121 | − | 0.306444i | ||||
\(653\) | −3.71514 | + | 22.6614i | −0.145385 | + | 0.886808i | 0.808908 | + | 0.587935i | \(0.200059\pi\) |
−0.954293 | + | 0.298873i | \(0.903389\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 26.9308 | + | 5.92793i | 1.05228 | + | 0.231623i | ||||
\(656\) | −29.7403 | + | 3.23445i | −1.16116 | + | 0.126284i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −10.9413 | + | 39.4071i | −0.426538 | + | 1.53625i | ||||
\(659\) | 0.844507 | − | 0.185890i | 0.0328973 | − | 0.00724125i | −0.198491 | − | 0.980103i | \(-0.563604\pi\) |
0.231389 | + | 0.972861i | \(0.425673\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −10.8932 | − | 20.5467i | −0.423696 | − | 0.799176i | 0.576139 | − | 0.817352i | \(-0.304559\pi\) |
−0.999835 | + | 0.0181762i | \(0.994214\pi\) | |||||||
\(662\) | 9.11781 | + | 32.8394i | 0.354374 | + | 1.27634i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −3.55067 | − | 21.6581i | −0.137793 | − | 0.840498i | ||||
\(665\) | −14.8765 | − | 5.01248i | −0.576887 | − | 0.194376i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −15.7939 | + | 7.30704i | −0.611542 | + | 0.282930i | ||||
\(668\) | −0.714899 | − | 13.1855i | −0.0276603 | − | 0.510164i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 43.6841 | − | 41.3797i | 1.68766 | − | 1.59864i | ||||
\(671\) | 41.0008 | + | 24.6694i | 1.58282 | + | 0.952350i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −5.44051 | + | 13.6546i | −0.209716 | + | 0.526348i | −0.995777 | − | 0.0918009i | \(-0.970738\pi\) |
0.786061 | + | 0.618149i | \(0.212117\pi\) | |||||||
\(674\) | 29.8897 | + | 44.0839i | 1.15131 | + | 1.69805i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 1.01489 | + | 2.54719i | 0.0390343 | + | 0.0979687i | ||||
\(677\) | 1.53807 | − | 28.3681i | 0.0591129 | − | 1.09027i | −0.807041 | − | 0.590496i | \(-0.798932\pi\) |
0.866154 | − | 0.499778i | \(-0.166585\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 7.46007 | − | 8.78268i | 0.286291 | − | 0.337048i | ||||
\(680\) | 0.458434 | − | 8.45533i | 0.0175802 | − | 0.324247i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 5.62213 | − | 8.29203i | 0.215283 | − | 0.317518i | ||||
\(683\) | −13.4373 | − | 19.8185i | −0.514162 | − | 0.758333i | 0.478651 | − | 0.878005i | \(-0.341126\pi\) |
−0.992813 | + | 0.119672i | \(0.961816\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 11.2413 | + | 5.20077i | 0.429508 | + | 0.198711i | ||||
\(686\) | 29.0699 | + | 17.4907i | 1.10989 | + | 0.667800i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −28.1099 | − | 21.3686i | −1.07168 | − | 0.814671i | ||||
\(689\) | 0.339615 | + | 6.26382i | 0.0129383 | + | 0.238633i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −41.9640 | − | 4.56386i | −1.59639 | − | 0.173618i | −0.733742 | − | 0.679428i | \(-0.762228\pi\) |
−0.862645 | + | 0.505810i | \(0.831194\pi\) | |||||||
\(692\) | −23.5410 | − | 7.93187i | −0.894893 | − | 0.301525i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −17.1134 | − | 16.2106i | −0.649614 | − | 0.615347i | ||||
\(695\) | −11.5433 | − | 41.5753i | −0.437863 | − | 1.57704i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 10.5236 | − | 3.54581i | 0.398609 | − | 0.134307i | ||||
\(698\) | 34.0674 | − | 7.49880i | 1.28947 | − | 0.283834i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 8.21503 | − | 4.94282i | 0.310499 | − | 0.186821i | ||||
\(701\) | −16.6595 | + | 1.81183i | −0.629222 | + | 0.0684320i | −0.417173 | − | 0.908827i | \(-0.636979\pi\) |
−0.212049 | + | 0.977259i | \(0.568014\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −2.83428 | + | 5.34602i | −0.106897 | + | 0.201629i | ||||
\(704\) | −0.351325 | + | 2.14299i | −0.0132411 | + | 0.0807668i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 32.6097 | + | 38.3911i | 1.22728 | + | 1.44487i | ||||
\(707\) | 26.5115 | 0.997067 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −2.37408 | −0.0891603 | −0.0445801 | − | 0.999006i | \(-0.514195\pi\) | ||||
−0.0445801 | + | 0.999006i | \(0.514195\pi\) | |||||||
\(710\) | 43.2714 | + | 50.9430i | 1.62395 | + | 1.91186i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −2.59061 | + | 15.8020i | −0.0970873 | + | 0.592206i | ||||
\(713\) | −5.88809 | + | 11.1061i | −0.220511 | + | 0.415927i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −37.4071 | + | 4.06827i | −1.39895 | + | 0.152145i | ||||
\(716\) | −6.37285 | + | 3.83442i | −0.238165 | + | 0.143299i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −10.2553 | + | 2.25736i | −0.382723 | + | 0.0842438i | ||||
\(719\) | 14.8939 | − | 5.01835i | 0.555450 | − | 0.187153i | −0.0275566 | − | 0.999620i | \(-0.508773\pi\) |
0.583007 | + | 0.812467i | \(0.301876\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.142030 | + | 0.511545i | 0.00528947 | + | 0.0190509i | ||||
\(722\) | −13.6226 | − | 12.9040i | −0.506981 | − | 0.480238i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −3.90384 | − | 1.31536i | −0.145085 | − | 0.0488849i | ||||
\(725\) | 9.88701 | + | 1.07528i | 0.367194 | + | 0.0399348i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 0.487739 | + | 8.99582i | 0.0180892 | + | 0.333636i | 0.993545 | + | 0.113440i | \(0.0361870\pi\) |
−0.975456 | + | 0.220196i | \(0.929330\pi\) | |||||||
\(728\) | 6.62213 | + | 5.03401i | 0.245432 | + | 0.186573i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −53.2434 | − | 32.0355i | −1.97063 | − | 1.18569i | ||||
\(731\) | 11.8958 | + | 5.50359i | 0.439982 | + | 0.203557i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 5.36054 | + | 7.90620i | 0.197996 | + | 0.292022i | 0.913706 | − | 0.406375i | \(-0.133207\pi\) |
−0.715710 | + | 0.698397i | \(0.753897\pi\) | |||||||
\(734\) | −20.5960 | + | 30.3769i | −0.760213 | + | 1.12123i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 2.64289 | − | 48.7452i | 0.0974180 | − | 1.79677i | ||||
\(737\) | −25.9187 | + | 30.5138i | −0.954726 | + | 1.12399i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 1.44613 | − | 26.6724i | 0.0531969 | − | 0.981160i | −0.843114 | − | 0.537734i | \(-0.819280\pi\) |
0.896311 | − | 0.443425i | \(-0.146237\pi\) | |||||||
\(740\) | −2.81646 | − | 7.06879i | −0.103535 | − | 0.259854i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 3.32304 | + | 4.90112i | 0.121993 | + | 0.179926i | ||||
\(743\) | 8.84838 | − | 22.2078i | 0.324616 | − | 0.814724i | −0.672590 | − | 0.740016i | \(-0.734818\pi\) |
0.997205 | − | 0.0747083i | \(-0.0238026\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 4.47292 | + | 2.69127i | 0.163875 | + | 0.0986005i | ||||
\(746\) | 19.7815 | − | 18.7381i | 0.724253 | − | 0.686049i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −0.433207 | − | 7.99004i | −0.0158396 | − | 0.292145i | ||||
\(749\) | 14.8291 | − | 6.86067i | 0.541843 | − | 0.250683i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −17.1214 | − | 5.76888i | −0.624769 | − | 0.210509i | −0.0109300 | − | 0.999940i | \(-0.503479\pi\) |
−0.613839 | + | 0.789431i | \(0.710376\pi\) | |||||||
\(752\) | −10.6676 | − | 65.0698i | −0.389009 | − | 2.37285i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −3.27853 | − | 11.8082i | −0.119397 | − | 0.430030i | ||||
\(755\) | −9.39403 | − | 17.7190i | −0.341884 | − | 0.644861i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −19.9915 | + | 4.40046i | −0.726602 | + | 0.159937i | −0.562844 | − | 0.826563i | \(-0.690293\pi\) |
−0.163758 | + | 0.986500i | \(0.552362\pi\) | |||||||
\(758\) | 8.15885 | − | 29.3855i | 0.296343 | − | 1.06733i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 13.2777 | − | 1.44404i | 0.481633 | − | 0.0523807i | ||||
\(761\) | 20.1615 | + | 4.43789i | 0.730855 | + | 0.160873i | 0.564782 | − | 0.825240i | \(-0.308960\pi\) |
0.166073 | + | 0.986114i | \(0.446891\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −2.30175 | + | 14.0401i | −0.0833291 | + | 0.508285i | ||||
\(764\) | −24.1509 | + | 18.3590i | −0.873747 | + | 0.664206i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 57.7743 | 2.08747 | ||||||||
\(767\) | 14.1942 | − | 20.6805i | 0.512524 | − | 0.746730i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −20.2459 | − | 23.8353i | −0.730086 | − | 0.859523i | 0.264398 | − | 0.964414i | \(-0.414827\pi\) |
−0.994484 | + | 0.104890i | \(0.966551\pi\) | |||||||
\(770\) | −28.2763 | + | 21.4951i | −1.01901 | + | 0.774629i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 3.89404 | − | 7.34494i | 0.140150 | − | 0.264350i | ||||
\(773\) | 1.07943 | + | 0.237601i | 0.0388245 | + | 0.00854593i | 0.234340 | − | 0.972155i | \(-0.424707\pi\) |
−0.195516 | + | 0.980701i | \(0.562638\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 6.15559 | − | 3.70370i | 0.221115 | − | 0.133041i | ||||
\(776\) | −2.62285 | + | 9.44666i | −0.0941549 | + | 0.339115i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 11.4130 | − | 3.84550i | 0.409177 | − | 0.137868i | ||||
\(779\) | 8.20441 | + | 15.4752i | 0.293953 | + | 0.554455i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −32.2873 | − | 30.5841i | −1.15533 | − | 1.09439i | ||||
\(782\) | 4.39235 | + | 26.7922i | 0.157070 | + | 0.958086i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −19.7924 | − | 2.15255i | −0.706872 | − | 0.0768770i | ||||
\(785\) | 62.8991 | − | 29.1002i | 2.24496 | − | 1.03863i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 9.52622 | + | 7.24164i | 0.339573 | + | 0.258137i | 0.761037 | − | 0.648708i | \(-0.224691\pi\) |
−0.421464 | + | 0.906845i | \(0.638484\pi\) | |||||||
\(788\) | 18.0774 | − | 17.1239i | 0.643982 | − | 0.610012i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −22.9688 | − | 10.6265i | −0.817193 | − | 0.378074i | ||||
\(791\) | 6.93835 | − | 17.4139i | 0.246699 | − | 0.619168i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 23.7274 | − | 34.9953i | 0.842585 | − | 1.24272i | ||||
\(794\) | −21.9493 | − | 55.0887i | −0.778953 | − | 1.95502i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −5.89902 | + | 6.94487i | −0.209085 | + | 0.246154i | ||||
\(797\) | −10.6846 | + | 12.5789i | −0.378469 | + | 0.445568i | −0.918109 | − | 0.396328i | \(-0.870284\pi\) |
0.539640 | + | 0.841896i | \(0.318560\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 9.05978 | + | 22.7383i | 0.320512 | + | 0.804424i | ||||
\(800\) | −15.6563 | + | 23.0913i | −0.553532 | + | 0.816399i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 1.36694 | − | 3.43076i | 0.0482683 | − | 0.121144i | ||||
\(803\) | 37.5232 | + | 17.3601i | 1.32417 | + | 0.612624i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 32.3555 | − | 30.6488i | 1.14038 | − | 1.08023i | ||||
\(806\) | −7.04720 | − | 5.35714i | −0.248227 | − | 0.188697i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −20.4711 | + | 9.47094i | −0.720171 | + | 0.333186i | ||||
\(809\) | −34.3244 | − | 3.73300i | −1.20678 | − | 0.131245i | −0.517464 | − | 0.855705i | \(-0.673124\pi\) |
−0.689317 | + | 0.724460i | \(0.742089\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −8.42719 | − | 51.4036i | −0.295919 | − | 1.80502i | −0.547082 | − | 0.837079i | \(-0.684261\pi\) |
0.251163 | − | 0.967945i | \(-0.419187\pi\) | |||||||
\(812\) | −3.10578 | − | 2.94195i | −0.108991 | − | 0.103242i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 6.41283 | + | 12.0959i | 0.224770 | + | 0.423960i | ||||
\(815\) | −32.5514 | + | 10.9678i | −1.14023 | + | 0.384187i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −5.53082 | + | 19.9202i | −0.193499 | + | 0.696920i | ||||
\(818\) | 19.4112 | − | 11.6793i | 0.678695 | − | 0.408357i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −21.5115 | − | 4.73504i | −0.751214 | − | 0.165355i | ||||
\(821\) | −6.90184 | + | 13.0182i | −0.240876 | + | 0.454340i | −0.974245 | − | 0.225490i | \(-0.927602\pi\) |
0.733370 | + | 0.679830i | \(0.237946\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 6.30790 | − | 4.79514i | 0.219880 | − | 0.167148i | −0.489436 | − | 0.872039i | \(-0.662797\pi\) |
0.709315 | + | 0.704891i | \(0.249004\pi\) | |||||||
\(824\) | −0.292414 | − | 0.344256i | −0.0101867 | − | 0.0119927i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 1.41641 | − | 23.6349i | 0.0492831 | − | 0.822362i | ||||
\(827\) | 6.80483 | 0.236627 | 0.118314 | − | 0.992976i | \(-0.462251\pi\) | ||||
0.118314 | + | 0.992976i | \(0.462251\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −38.7142 | + | 29.4298i | −1.34460 | + | 1.02214i | −0.348196 | + | 0.937422i | \(0.613206\pi\) |
−0.996405 | + | 0.0847171i | \(0.973001\pi\) | |||||||
\(830\) | 13.3966 | − | 81.7155i | 0.465002 | − | 2.83639i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 1.87397 | + | 0.412493i | 0.0649683 | + | 0.0143006i | ||||
\(833\) | 7.34707 | − | 0.799042i | 0.254561 | − | 0.0276852i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −9.38492 | + | 33.8014i | −0.324779 | + | 1.16975i | ||||
\(836\) | 12.3260 | − | 2.71315i | 0.426302 | − | 0.0938362i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −3.59842 | − | 6.78733i | −0.124305 | − | 0.234464i | ||||
\(839\) | −2.96406 | − | 10.6756i | −0.102331 | − | 0.368562i | 0.894598 | − | 0.446871i | \(-0.147462\pi\) |
−0.996929 | + | 0.0783091i | \(0.975048\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 3.97374 | + | 24.2388i | 0.137026 | + | 0.835820i | ||||
\(842\) | 37.4759 | + | 12.6271i | 1.29150 | + | 0.435158i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −0.179918 | + | 0.0832388i | −0.00619302 | + | 0.00286520i | ||||
\(845\) | −0.394358 | − | 7.27351i | −0.0135663 | − | 0.250216i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 3.33916 | − | 3.16302i | 0.114735 | − | 0.108683i | ||||
\(848\) | −8.18040 | − | 4.92198i | −0.280916 | − | 0.169022i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 5.74305 | − | 14.4140i | 0.196985 | − | 0.494395i | ||||
\(851\) | −9.64026 | − | 14.2183i | −0.330464 | − | 0.487398i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 8.27273 | + | 20.7630i | 0.283253 | + | 0.710911i | 0.999909 | + | 0.0134845i | \(0.00429237\pi\) |
−0.716656 | + | 0.697427i | \(0.754328\pi\) | |||||||
\(854\) | 2.16075 | − | 39.8526i | 0.0739392 | − | 1.36373i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −8.99953 | + | 10.5951i | −0.307597 | + | 0.362132i | ||||
\(857\) | −0.924110 | + | 17.0442i | −0.0315670 | + | 0.582219i | 0.939373 | + | 0.342897i | \(0.111408\pi\) |
−0.970940 | + | 0.239323i | \(0.923075\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 8.39693 | − | 12.3845i | 0.286500 | − | 0.422555i | −0.657019 | − | 0.753874i | \(-0.728183\pi\) |
0.943519 | + | 0.331318i | \(0.107493\pi\) | |||||||
\(860\) | −14.5898 | − | 21.5183i | −0.497508 | − | 0.733769i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 2.87683 | + | 1.33096i | 0.0979851 | + | 0.0453328i | ||||
\(863\) | −38.5761 | − | 23.2105i | −1.31315 | − | 0.790094i | −0.325312 | − | 0.945607i | \(-0.605469\pi\) |
−0.987834 | + | 0.155513i | \(0.950297\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 52.5368 | + | 39.9375i | 1.78631 | + | 1.35791i | ||||
\(866\) | −2.77818 | − | 51.2405i | −0.0944064 | − | 1.74122i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −3.07203 | − | 0.334104i | −0.104272 | − | 0.0113402i | ||||
\(869\) | 15.9575 | + | 5.37671i | 0.541321 | + | 0.182392i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 25.6828 | + | 24.3280i | 0.870228 | + | 0.824323i | ||||
\(872\) | −3.23834 | − | 11.6635i | −0.109664 | − | 0.394975i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −40.5812 | + | 13.6734i | −1.37268 | + | 0.462510i | ||||
\(875\) | 1.46956 | − | 0.323475i | 0.0496802 | − | 0.0109354i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −24.6271 | + | 14.8176i | −0.831598 | + | 0.500356i | −0.866584 | − | 0.499032i | \(-0.833689\pi\) |
0.0349855 | + | 0.999388i | \(0.488862\pi\) | |||||||
\(878\) | 10.8248 | − | 1.17726i | 0.365318 | − | 0.0397307i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 26.8238 | − | 50.5951i | 0.904232 | − | 1.70556i | ||||
\(881\) | 3.72232 | − | 22.7051i | 0.125408 | − | 0.764955i | −0.846987 | − | 0.531614i | \(-0.821586\pi\) |
0.972395 | − | 0.233341i | \(-0.0749660\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −28.9648 | − | 34.1000i | −0.974742 | − | 1.14756i | −0.989039 | − | 0.147658i | \(-0.952827\pi\) |
0.0142962 | − | 0.999898i | \(-0.495449\pi\) | |||||||
\(884\) | −7.07042 | −0.237804 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −68.1828 | −2.29065 | ||||||||
\(887\) | −8.47439 | − | 9.97683i | −0.284542 | − | 0.334989i | 0.601259 | − | 0.799054i | \(-0.294666\pi\) |
−0.885801 | + | 0.464065i | \(0.846390\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 4.64864 | − | 28.3554i | 0.155910 | − | 0.951010i | ||||
\(890\) | −28.2996 | + | 53.3788i | −0.948606 | + | 1.78926i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −14.8436 | + | 1.61434i | −0.497002 | + | 0.0540522i | ||||
\(893\) | −33.0804 | + | 19.9038i | −1.10699 | + | 0.666056i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 19.2964 | − | 4.24746i | 0.645008 | − | 0.141977i | ||||
\(896\) | −17.6632 | + | 5.95141i | −0.590085 | + | 0.198823i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 6.30583 | + | 22.7115i | 0.210428 | + | 0.757894i | ||||
\(899\) | −2.32718 | − | 2.20443i | −0.0776159 | − | 0.0735217i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 3.35839 | + | 1.13157i | 0.111884 | + | 0.0376981i | ||||
\(902\) | 39.3981 | + | 4.28481i | 1.31181 | + | 0.142668i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0.863428 | + | 15.9250i | 0.0287172 | + | 0.529657i | ||||
\(905\) | 8.71229 | + | 6.62291i | 0.289606 | + | 0.220153i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −8.67619 | − | 5.22029i | −0.288088 | − | 0.173337i | 0.364173 | − | 0.931331i | \(-0.381352\pi\) |
−0.652261 | + | 0.757994i | \(0.726179\pi\) | |||||||
\(908\) | −0.661894 | − | 0.306225i | −0.0219657 | − | 0.0101624i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 17.6127 | + | 25.9767i | 0.583854 | + | 0.861120i | ||||
\(911\) | 0.616734 | − | 0.909615i | 0.0204333 | − | 0.0301369i | −0.817335 | − | 0.576163i | \(-0.804550\pi\) |
0.837768 | + | 0.546026i | \(0.183860\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −2.98286 | + | 55.0157i | −0.0987184 | + | 1.82075i | ||||
\(914\) | −10.5470 | + | 12.4169i | −0.348864 | + | 0.410715i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −0.401958 | + | 7.41367i | −0.0132811 | + | 0.244955i | ||||
\(917\) | 5.66445 | + | 14.2167i | 0.187057 | + | 0.469477i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −15.6792 | − | 23.1251i | −0.517208 | − | 0.762825i | 0.475966 | − | 0.879464i | \(-0.342099\pi\) |
−0.993174 | + | 0.116638i | \(0.962788\pi\) | |||||||
\(920\) | −14.0347 | + | 35.2244i | −0.462710 | + | 1.16131i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 59.2239 | + | 35.6338i | 1.95043 | + | 1.17354i | ||||
\(923\) | −28.5293 | + | 27.0243i | −0.939052 | + | 0.889517i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0.531499 | + | 9.80291i | 0.0174756 | + | 0.322318i | ||||
\(926\) | −63.2565 | + | 29.2656i | −2.07874 | + | 0.961727i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 11.7968 | + | 3.97481i | 0.387250 | + | 0.130480i | ||||
\(929\) | 2.36556 | + | 14.4293i | 0.0776115 | + | 0.473409i | 0.996823 | + | 0.0796457i | \(0.0253789\pi\) |
−0.919212 | + | 0.393764i | \(0.871173\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 3.11850 | + | 11.2318i | 0.102205 | + | 0.368108i | ||||
\(932\) | −12.1651 | − | 22.9459i | −0.398482 | − | 0.751617i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 5.50752 | − | 1.21230i | 0.180211 | − | 0.0396675i | ||||
\(935\) | −5.68698 | + | 20.4826i | −0.185984 | + | 0.669854i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 1.20229 | − | 0.130757i | 0.0392771 | − | 0.00427164i | −0.0884594 | − | 0.996080i | \(-0.528194\pi\) |
0.127736 | + | 0.991808i | \(0.459229\pi\) | |||||||
\(938\) | 32.6126 | + | 7.17857i | 1.06484 | + | 0.234389i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 7.85442 | − | 47.9099i | 0.256183 | − | 1.56265i | ||||
\(941\) | 15.1590 | − | 11.5235i | 0.494168 | − | 0.375657i | −0.328204 | − | 0.944607i | \(-0.606443\pi\) |
0.822372 | + | 0.568950i | \(0.192650\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −49.7262 | −1.61931 | ||||||||
\(944\) | 13.9276 | + | 35.5428i | 0.453306 | + | 1.15682i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 30.2824 | + | 35.6512i | 0.984564 | + | 1.15912i | ||||
\(947\) | 11.2456 | − | 8.54871i | 0.365434 | − | 0.277796i | −0.406302 | − | 0.913739i | \(-0.633182\pi\) |
0.771736 | + | 0.635943i | \(0.219389\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 17.1120 | − | 32.2767i | 0.555479 | − | 1.04775i | ||||
\(950\) | 23.9008 | + | 5.26097i | 0.775445 | + | 0.170688i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 4.02667 | − | 2.42277i | 0.130505 | − | 0.0785224i | ||||
\(953\) | −2.25299 | + | 8.11454i | −0.0729815 | + | 0.262856i | −0.991035 | − | 0.133600i | \(-0.957346\pi\) |
0.918054 | + | 0.396456i | \(0.129760\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 76.3736 | − | 25.7333i | 2.47139 | − | 0.832709i | ||||
\(956\) | 1.86094 | + | 3.51010i | 0.0601871 | + | 0.113525i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 27.4597 | + | 26.0112i | 0.887181 | + | 0.840383i | ||||
\(959\) | 1.11207 | + | 6.78335i | 0.0359107 | + | 0.219046i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 28.5164 | + | 3.10134i | 0.919883 | + | 0.100043i | ||||
\(962\) | 10.9791 | − | 5.07947i | 0.353980 | − | 0.163769i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 4.75954 | + | 3.61811i | 0.153294 | + | 0.116531i | ||||
\(965\) | −16.0337 | + | 15.1880i | −0.516144 | + | 0.488918i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 37.3528 | + | 17.2812i | 1.20118 | + | 0.555727i | 0.915392 | − | 0.402564i | \(-0.131881\pi\) |
0.285793 | + | 0.958291i | \(0.407743\pi\) | |||||||
\(968\) | −1.44841 | + | 3.63523i | −0.0465536 | + | 0.116841i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −20.7585 | + | 30.6165i | −0.666514 | + | 0.983035i | ||||
\(971\) | −3.46977 | − | 8.70848i | −0.111350 | − | 0.279468i | 0.862732 | − | 0.505661i | \(-0.168751\pi\) |
−0.974083 | + | 0.226193i | \(0.927372\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 15.5022 | − | 18.2507i | 0.496979 | − | 0.585089i | ||||
\(974\) | −22.3973 | + | 26.3682i | −0.717657 | + | 0.844891i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 23.8175 | + | 59.7774i | 0.762379 | + | 1.91343i | ||||
\(977\) | −26.3924 | + | 38.9258i | −0.844366 | + | 1.24535i | 0.123112 | + | 0.992393i | \(0.460713\pi\) |
−0.967478 | + | 0.252954i | \(0.918598\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 14.8792 | − | 37.3440i | 0.475542 | − | 1.19352i | ||||
\(980\) | −13.3040 | − | 6.15506i | −0.424979 | − | 0.196616i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 6.21103 | − | 5.88340i | 0.198202 | − | 0.187747i | ||||
\(983\) | 42.2632 | + | 32.1277i | 1.34799 | + | 1.02471i | 0.996060 | + | 0.0886860i | \(0.0282668\pi\) |
0.351928 | + | 0.936027i | \(0.385526\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −60.0359 | + | 27.7756i | −1.91290 | + | 0.885003i | ||||
\(986\) | −6.88273 | − | 0.748542i | −0.219191 | − | 0.0238384i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −1.80420 | − | 11.0051i | −0.0573991 | − | 0.350119i | ||||
\(989\) | −42.6105 | − | 40.3628i | −1.35493 | − | 1.28346i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −6.48933 | − | 12.2402i | −0.206140 | − | 0.388822i | 0.758787 | − | 0.651339i | \(-0.225792\pi\) |
−0.964927 | + | 0.262517i | \(0.915447\pi\) | |||||||
\(992\) | 8.52135 | − | 2.87118i | 0.270553 | − | 0.0911599i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −9.92379 | + | 35.7423i | −0.314763 | + | 1.13368i | ||||
\(995\) | 20.7420 | − | 12.4800i | 0.657565 | − | 0.395644i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 7.39924 | + | 1.62870i | 0.234336 | + | 0.0515813i | 0.330586 | − | 0.943776i | \(-0.392754\pi\) |
−0.0962495 | + | 0.995357i | \(0.530685\pi\) | |||||||
\(998\) | 11.3158 | − | 21.3439i | 0.358196 | − | 0.675629i | ||||
\(999\) | 0 | 0 |
(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 | 531.2.i.c.46.2 | 140 | ||
3.2 | odd | 2 | 177.2.e.a.46.4 | ✓ | 140 | ||
59.9 | even | 29 | inner | 531.2.i.c.127.2 | 140 | ||
177.68 | odd | 58 | 177.2.e.a.127.4 | yes | 140 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.2.e.a.46.4 | ✓ | 140 | 3.2 | odd | 2 | ||
177.2.e.a.127.4 | yes | 140 | 177.68 | odd | 58 | ||
531.2.i.c.46.2 | 140 | 1.1 | even | 1 | trivial | ||
531.2.i.c.127.2 | 140 | 59.9 | even | 29 | inner |