Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(56,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.56");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.k (of order \(11\), degree \(10\), 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: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(220\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 56.11 | ||
Character | \(\chi\) | \(=\) | 605.56 |
Dual form | 605.2.k.b.551.11 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.127482 | − | 0.0374322i | −0.0901437 | − | 0.0264686i | 0.236350 | − | 0.971668i | \(-0.424049\pi\) |
−0.326493 | + | 0.945199i | \(0.605867\pi\) | |||||||
\(3\) | −3.30973 | −1.91087 | −0.955437 | − | 0.295196i | \(-0.904615\pi\) | ||||
−0.955437 | + | 0.295196i | \(0.904615\pi\) | |||||||
\(4\) | −1.66766 | − | 1.07174i | −0.833828 | − | 0.535869i | ||||
\(5\) | 0.654861 | − | 0.755750i | 0.292863 | − | 0.337981i | ||||
\(6\) | 0.421933 | + | 0.123891i | 0.172253 | + | 0.0505781i | ||||
\(7\) | 1.07269 | − | 2.34886i | 0.405439 | − | 0.887787i | −0.591251 | − | 0.806488i | \(-0.701366\pi\) |
0.996690 | − | 0.0812995i | \(-0.0259070\pi\) | |||||||
\(8\) | 0.346495 | + | 0.399876i | 0.122504 | + | 0.141378i | ||||
\(9\) | 7.95431 | 2.65144 | ||||||||
\(10\) | −0.111773 | + | 0.0718319i | −0.0353456 | + | 0.0227153i | ||||
\(11\) | −0.579616 | − | 3.26558i | −0.174761 | − | 0.984611i | ||||
\(12\) | 5.51949 | + | 3.54716i | 1.59334 | + | 1.02398i | ||||
\(13\) | −0.259129 | − | 0.166532i | −0.0718696 | − | 0.0461878i | 0.504213 | − | 0.863580i | \(-0.331783\pi\) |
−0.576082 | + | 0.817392i | \(0.695419\pi\) | |||||||
\(14\) | −0.224672 | + | 0.259286i | −0.0600462 | + | 0.0692971i | ||||
\(15\) | −2.16741 | + | 2.50133i | −0.559623 | + | 0.645840i | ||||
\(16\) | 1.61779 | + | 3.54247i | 0.404447 | + | 0.885616i | ||||
\(17\) | −0.0360756 | − | 0.250912i | −0.00874963 | − | 0.0608550i | 0.984979 | − | 0.172675i | \(-0.0552411\pi\) |
−0.993728 | + | 0.111820i | \(0.964332\pi\) | |||||||
\(18\) | −1.01404 | − | 0.297748i | −0.239011 | − | 0.0701798i | ||||
\(19\) | 1.19247 | − | 8.29382i | 0.273572 | − | 1.90273i | −0.136433 | − | 0.990649i | \(-0.543564\pi\) |
0.410005 | − | 0.912083i | \(-0.365527\pi\) | |||||||
\(20\) | −1.90205 | + | 0.558492i | −0.425311 | + | 0.124883i | ||||
\(21\) | −3.55032 | + | 7.77411i | −0.774742 | + | 1.69645i | ||||
\(22\) | −0.0483472 | + | 0.438001i | −0.0103077 | + | 0.0933822i | ||||
\(23\) | 1.44763 | + | 3.16986i | 0.301851 | + | 0.660962i | 0.998400 | − | 0.0565478i | \(-0.0180093\pi\) |
−0.696549 | + | 0.717509i | \(0.745282\pi\) | |||||||
\(24\) | −1.14680 | − | 1.32348i | −0.234091 | − | 0.270155i | ||||
\(25\) | −0.142315 | − | 0.989821i | −0.0284630 | − | 0.197964i | ||||
\(26\) | 0.0268008 | + | 0.0309298i | 0.00525607 | + | 0.00606582i | ||||
\(27\) | −16.3974 | −3.15569 | ||||||||
\(28\) | −4.30625 | + | 2.76746i | −0.813804 | + | 0.523000i | ||||
\(29\) | 0.636511 | − | 4.42703i | 0.118197 | − | 0.822079i | −0.841342 | − | 0.540503i | \(-0.818234\pi\) |
0.959539 | − | 0.281575i | \(-0.0908570\pi\) | |||||||
\(30\) | 0.369937 | − | 0.237744i | 0.0675410 | − | 0.0434060i | ||||
\(31\) | −4.24465 | + | 2.72787i | −0.762361 | + | 0.489940i | −0.863137 | − | 0.504969i | \(-0.831504\pi\) |
0.100776 | + | 0.994909i | \(0.467867\pi\) | |||||||
\(32\) | −0.224239 | − | 1.55961i | −0.0396401 | − | 0.275703i | ||||
\(33\) | 1.91837 | + | 10.8082i | 0.333946 | + | 1.88147i | ||||
\(34\) | −0.00479317 | + | 0.0333372i | −0.000822022 | + | 0.00571729i | ||||
\(35\) | −1.07269 | − | 2.34886i | −0.181318 | − | 0.397031i | ||||
\(36\) | −13.2651 | − | 8.52494i | −2.21084 | − | 1.42082i | ||||
\(37\) | −5.20440 | + | 3.34467i | −0.855598 | + | 0.549860i | −0.893316 | − | 0.449429i | \(-0.851628\pi\) |
0.0377177 | + | 0.999288i | \(0.487991\pi\) | |||||||
\(38\) | −0.462475 | + | 1.01268i | −0.0750234 | + | 0.164278i | ||||
\(39\) | 0.857648 | + | 0.551177i | 0.137334 | + | 0.0882590i | ||||
\(40\) | 0.529112 | 0.0836600 | ||||||||
\(41\) | −2.41911 | − | 0.710316i | −0.377802 | − | 0.110933i | 0.0873175 | − | 0.996181i | \(-0.472171\pi\) |
−0.465120 | + | 0.885248i | \(0.653989\pi\) | |||||||
\(42\) | 0.743605 | − | 0.858166i | 0.114741 | − | 0.132418i | ||||
\(43\) | −6.80732 | − | 7.85607i | −1.03811 | − | 1.19804i | −0.979849 | − | 0.199738i | \(-0.935991\pi\) |
−0.0582579 | − | 0.998302i | \(-0.518555\pi\) | |||||||
\(44\) | −2.53325 | + | 6.06707i | −0.381902 | + | 0.914645i | ||||
\(45\) | 5.20897 | − | 6.01147i | 0.776507 | − | 0.896137i | ||||
\(46\) | −0.0658921 | − | 0.458290i | −0.00971526 | − | 0.0675711i | ||||
\(47\) | −5.96034 | + | 1.75011i | −0.869405 | + | 0.255280i | −0.685862 | − | 0.727732i | \(-0.740575\pi\) |
−0.183542 | + | 0.983012i | \(0.558756\pi\) | |||||||
\(48\) | −5.35445 | − | 11.7246i | −0.772848 | − | 1.69230i | ||||
\(49\) | 0.217527 | + | 0.251039i | 0.0310753 | + | 0.0358628i | ||||
\(50\) | −0.0189086 | + | 0.131512i | −0.00267408 | + | 0.0185986i | ||||
\(51\) | 0.119401 | + | 0.830450i | 0.0167194 | + | 0.116286i | ||||
\(52\) | 0.253660 | + | 0.555438i | 0.0351763 | + | 0.0770253i | ||||
\(53\) | −3.67385 | + | 8.04461i | −0.504642 | + | 1.10501i | 0.470290 | + | 0.882512i | \(0.344149\pi\) |
−0.974933 | + | 0.222501i | \(0.928578\pi\) | |||||||
\(54\) | 2.09039 | + | 0.613793i | 0.284466 | + | 0.0835267i | ||||
\(55\) | −2.84753 | − | 1.70046i | −0.383961 | − | 0.229290i | ||||
\(56\) | 1.31094 | − | 0.384926i | 0.175181 | − | 0.0514379i | ||||
\(57\) | −3.94676 | + | 27.4503i | −0.522761 | + | 3.63588i | ||||
\(58\) | −0.246858 | + | 0.540543i | −0.0324140 | + | 0.0709767i | ||||
\(59\) | 7.91555 | − | 2.32422i | 1.03052 | − | 0.302587i | 0.277596 | − | 0.960698i | \(-0.410462\pi\) |
0.752921 | + | 0.658111i | \(0.228644\pi\) | |||||||
\(60\) | 6.29527 | − | 1.84846i | 0.812715 | − | 0.238635i | ||||
\(61\) | 6.92558 | − | 2.03353i | 0.886730 | − | 0.260367i | 0.193514 | − | 0.981097i | \(-0.438011\pi\) |
0.693216 | + | 0.720730i | \(0.256193\pi\) | |||||||
\(62\) | 0.643228 | − | 0.188869i | 0.0816901 | − | 0.0239864i | ||||
\(63\) | 8.53252 | − | 18.6836i | 1.07500 | − | 2.35391i | ||||
\(64\) | 1.07867 | − | 7.50229i | 0.134833 | − | 0.937786i | ||||
\(65\) | −0.295550 | + | 0.0867814i | −0.0366585 | + | 0.0107639i | ||||
\(66\) | 0.160016 | − | 1.44967i | 0.0196966 | − | 0.178442i | ||||
\(67\) | 10.6809 | + | 3.13619i | 1.30488 | + | 0.383147i | 0.859013 | − | 0.511954i | \(-0.171078\pi\) |
0.445864 | + | 0.895101i | \(0.352896\pi\) | |||||||
\(68\) | −0.208750 | + | 0.457098i | −0.0253146 | + | 0.0554313i | ||||
\(69\) | −4.79125 | − | 10.4914i | −0.576799 | − | 1.26301i | ||||
\(70\) | 0.0488260 | + | 0.339592i | 0.00583582 | + | 0.0405890i | ||||
\(71\) | −0.589712 | + | 4.10153i | −0.0699859 | + | 0.486763i | 0.924440 | + | 0.381327i | \(0.124533\pi\) |
−0.994426 | + | 0.105436i | \(0.966376\pi\) | |||||||
\(72\) | 2.75613 | + | 3.18074i | 0.324813 | + | 0.374854i | ||||
\(73\) | −0.571663 | − | 1.25177i | −0.0669081 | − | 0.146508i | 0.873224 | − | 0.487320i | \(-0.162025\pi\) |
−0.940132 | + | 0.340812i | \(0.889298\pi\) | |||||||
\(74\) | 0.788669 | − | 0.231574i | 0.0916809 | − | 0.0269199i | ||||
\(75\) | 0.471024 | + | 3.27604i | 0.0543891 | + | 0.378285i | ||||
\(76\) | −10.8774 | + | 12.5532i | −1.24773 | + | 1.43995i | ||||
\(77\) | −8.29216 | − | 2.14152i | −0.944980 | − | 0.244049i | ||||
\(78\) | −0.0887034 | − | 0.102369i | −0.0100437 | − | 0.0115910i | ||||
\(79\) | −4.43338 | + | 5.11640i | −0.498795 | + | 0.575640i | −0.948194 | − | 0.317691i | \(-0.897093\pi\) |
0.449400 | + | 0.893331i | \(0.351638\pi\) | |||||||
\(80\) | 3.73664 | + | 1.09718i | 0.417769 | + | 0.122668i | ||||
\(81\) | 30.4082 | 3.37869 | ||||||||
\(82\) | 0.281806 | + | 0.181106i | 0.0311203 | + | 0.0199998i | ||||
\(83\) | −0.395721 | + | 0.866509i | −0.0434361 | + | 0.0951117i | −0.930106 | − | 0.367291i | \(-0.880285\pi\) |
0.886670 | + | 0.462403i | \(0.153013\pi\) | |||||||
\(84\) | 14.2525 | − | 9.15953i | 1.55508 | − | 0.999387i | ||||
\(85\) | −0.213251 | − | 0.137048i | −0.0231303 | − | 0.0148649i | ||||
\(86\) | 0.573744 | + | 1.25632i | 0.0618684 | + | 0.135473i | ||||
\(87\) | −2.10668 | + | 14.6523i | −0.225860 | + | 1.57089i | ||||
\(88\) | 1.10500 | − | 1.36328i | 0.117793 | − | 0.145326i | ||||
\(89\) | −0.646364 | − | 4.49556i | −0.0685144 | − | 0.476528i | −0.994974 | − | 0.100134i | \(-0.968073\pi\) |
0.926460 | − | 0.376394i | \(-0.122836\pi\) | |||||||
\(90\) | −0.889075 | + | 0.571374i | −0.0937167 | + | 0.0602281i | ||||
\(91\) | −0.669127 | + | 0.430022i | −0.0701436 | + | 0.0450786i | ||||
\(92\) | 0.983115 | − | 6.83771i | 0.102497 | − | 0.712881i | ||||
\(93\) | 14.0486 | − | 9.02851i | 1.45678 | − | 0.936213i | ||||
\(94\) | 0.825349 | 0.0851283 | ||||||||
\(95\) | −5.48715 | − | 6.33251i | −0.562969 | − | 0.649701i | ||||
\(96\) | 0.742169 | + | 5.16190i | 0.0757473 | + | 0.526834i | ||||
\(97\) | −1.50706 | − | 1.73924i | −0.153019 | − | 0.176593i | 0.674065 | − | 0.738672i | \(-0.264547\pi\) |
−0.827083 | + | 0.562080i | \(0.810001\pi\) | |||||||
\(98\) | −0.0183339 | − | 0.0401456i | −0.00185200 | − | 0.00405532i | ||||
\(99\) | −4.61045 | − | 25.9755i | −0.463368 | − | 2.61064i | ||||
\(100\) | −0.823497 | + | 1.80321i | −0.0823497 | + | 0.180321i | ||||
\(101\) | −13.8081 | + | 4.05442i | −1.37396 | + | 0.403430i | −0.883662 | − | 0.468126i | \(-0.844929\pi\) |
−0.490295 | + | 0.871556i | \(0.663111\pi\) | |||||||
\(102\) | 0.0158641 | − | 0.110337i | 0.00157078 | − | 0.0109250i | ||||
\(103\) | −8.59981 | − | 2.52513i | −0.847365 | − | 0.248809i | −0.170904 | − | 0.985288i | \(-0.554669\pi\) |
−0.676460 | + | 0.736479i | \(0.736487\pi\) | |||||||
\(104\) | −0.0231947 | − | 0.161322i | −0.00227442 | − | 0.0158190i | ||||
\(105\) | 3.55032 | + | 7.77411i | 0.346475 | + | 0.758675i | ||||
\(106\) | 0.769480 | − | 0.888027i | 0.0747385 | − | 0.0862528i | ||||
\(107\) | 4.07114 | − | 4.69834i | 0.393572 | − | 0.454206i | −0.524034 | − | 0.851697i | \(-0.675574\pi\) |
0.917606 | + | 0.397491i | \(0.130119\pi\) | |||||||
\(108\) | 27.3453 | + | 17.5738i | 2.63130 | + | 1.69104i | ||||
\(109\) | 10.4268 | + | 6.70088i | 0.998704 | + | 0.641828i | 0.934446 | − | 0.356105i | \(-0.115896\pi\) |
0.0642582 | + | 0.997933i | \(0.479532\pi\) | |||||||
\(110\) | 0.299359 | + | 0.323368i | 0.0285427 | + | 0.0308319i | ||||
\(111\) | 17.2252 | − | 11.0699i | 1.63494 | − | 1.05071i | ||||
\(112\) | 10.0562 | 0.950218 | ||||||||
\(113\) | 8.65246 | + | 9.98547i | 0.813955 | + | 0.939354i | 0.999059 | − | 0.0433647i | \(-0.0138078\pi\) |
−0.185104 | + | 0.982719i | \(0.559262\pi\) | |||||||
\(114\) | 1.53067 | − | 3.35170i | 0.143360 | − | 0.313915i | ||||
\(115\) | 3.34361 | + | 0.981774i | 0.311794 | + | 0.0915509i | ||||
\(116\) | −5.80609 | + | 6.70059i | −0.539082 | + | 0.622134i | ||||
\(117\) | −2.06120 | − | 1.32465i | −0.190558 | − | 0.122464i | ||||
\(118\) | −1.09610 | −0.100904 | ||||||||
\(119\) | −0.628055 | − | 0.184414i | −0.0575737 | − | 0.0169052i | ||||
\(120\) | −1.75122 | −0.159864 | ||||||||
\(121\) | −10.3281 | + | 3.78557i | −0.938917 | + | 0.344143i | ||||
\(122\) | −0.959010 | −0.0868247 | ||||||||
\(123\) | 8.00662 | + | 2.35096i | 0.721932 | + | 0.211978i | ||||
\(124\) | 10.0022 | 0.898221 | ||||||||
\(125\) | −0.841254 | − | 0.540641i | −0.0752440 | − | 0.0483564i | ||||
\(126\) | −1.78712 | + | 2.06244i | −0.159209 | + | 0.183737i | ||||
\(127\) | −18.0876 | − | 5.31100i | −1.60501 | − | 0.471275i | −0.648078 | − | 0.761574i | \(-0.724427\pi\) |
−0.956936 | + | 0.290299i | \(0.906245\pi\) | |||||||
\(128\) | −1.72744 | + | 3.78256i | −0.152685 | + | 0.334334i | ||||
\(129\) | 22.5304 | + | 26.0015i | 1.98369 | + | 2.28930i | ||||
\(130\) | 0.0409259 | 0.00358944 | ||||||||
\(131\) | 14.5083 | − | 9.32393i | 1.26760 | − | 0.814636i | 0.278293 | − | 0.960496i | \(-0.410231\pi\) |
0.989305 | + | 0.145861i | \(0.0465951\pi\) | |||||||
\(132\) | 8.38437 | − | 20.0804i | 0.729766 | − | 1.74777i | ||||
\(133\) | −18.2019 | − | 11.6977i | −1.57831 | − | 1.01432i | ||||
\(134\) | −1.24423 | − | 0.799619i | −0.107485 | − | 0.0690765i | ||||
\(135\) | −10.7380 | + | 12.3924i | −0.924184 | + | 1.06656i | ||||
\(136\) | 0.0878336 | − | 0.101365i | 0.00753167 | − | 0.00869201i | ||||
\(137\) | 0.312876 | + | 0.685104i | 0.0267308 | + | 0.0585324i | 0.922526 | − | 0.385934i | \(-0.126121\pi\) |
−0.895796 | + | 0.444466i | \(0.853393\pi\) | |||||||
\(138\) | 0.218085 | + | 1.51681i | 0.0185646 | + | 0.129120i | ||||
\(139\) | −21.4153 | − | 6.28811i | −1.81642 | − | 0.533350i | −0.817340 | − | 0.576155i | \(-0.804552\pi\) |
−0.999083 | + | 0.0428052i | \(0.986371\pi\) | |||||||
\(140\) | −0.728487 | + | 5.06674i | −0.0615684 | + | 0.428218i | ||||
\(141\) | 19.7271 | − | 5.79240i | 1.66132 | − | 0.487808i | ||||
\(142\) | 0.228708 | − | 0.500800i | 0.0191927 | − | 0.0420262i | ||||
\(143\) | −0.393630 | + | 0.942734i | −0.0329170 | + | 0.0788354i | ||||
\(144\) | 12.8684 | + | 28.1779i | 1.07237 | + | 2.34816i | ||||
\(145\) | −2.92890 | − | 3.38013i | −0.243232 | − | 0.280705i | ||||
\(146\) | 0.0260206 | + | 0.180977i | 0.00215348 | + | 0.0149778i | ||||
\(147\) | −0.719955 | − | 0.830872i | −0.0593809 | − | 0.0685292i | ||||
\(148\) | 12.2638 | 1.00807 | ||||||||
\(149\) | −13.8619 | + | 8.90851i | −1.13561 | + | 0.729814i | −0.966724 | − | 0.255821i | \(-0.917654\pi\) |
−0.168888 | + | 0.985635i | \(0.554018\pi\) | |||||||
\(150\) | 0.0625823 | − | 0.435269i | 0.00510982 | − | 0.0355396i | ||||
\(151\) | −6.45954 | + | 4.15130i | −0.525670 | + | 0.337828i | −0.776411 | − | 0.630226i | \(-0.782962\pi\) |
0.250741 | + | 0.968054i | \(0.419326\pi\) | |||||||
\(152\) | 3.72969 | − | 2.39692i | 0.302518 | − | 0.194416i | ||||
\(153\) | −0.286957 | − | 1.99583i | −0.0231991 | − | 0.161353i | ||||
\(154\) | 0.976944 | + | 0.583401i | 0.0787244 | + | 0.0470118i | ||||
\(155\) | −0.718067 | + | 4.99426i | −0.0576765 | + | 0.401149i | ||||
\(156\) | −0.839546 | − | 1.83835i | −0.0672174 | − | 0.147186i | ||||
\(157\) | −16.0573 | − | 10.3194i | −1.28152 | − | 0.823580i | −0.290441 | − | 0.956893i | \(-0.593802\pi\) |
−0.991074 | + | 0.133313i | \(0.957438\pi\) | |||||||
\(158\) | 0.756697 | − | 0.486300i | 0.0601996 | − | 0.0386879i | ||||
\(159\) | 12.1595 | − | 26.6255i | 0.964308 | − | 2.11154i | ||||
\(160\) | −1.32552 | − | 0.851861i | −0.104792 | − | 0.0673455i | ||||
\(161\) | 8.99843 | 0.709175 | ||||||||
\(162\) | −3.87651 | − | 1.13825i | −0.304567 | − | 0.0894291i | ||||
\(163\) | −3.60205 | + | 4.15698i | −0.282134 | + | 0.325600i | −0.879073 | − | 0.476686i | \(-0.841838\pi\) |
0.596939 | + | 0.802286i | \(0.296383\pi\) | |||||||
\(164\) | 3.27298 | + | 3.77722i | 0.255577 | + | 0.294951i | ||||
\(165\) | 9.42456 | + | 5.62806i | 0.733701 | + | 0.438144i | ||||
\(166\) | 0.0828829 | − | 0.0956520i | 0.00643296 | − | 0.00742404i | ||||
\(167\) | −0.516146 | − | 3.58987i | −0.0399406 | − | 0.277793i | 0.960057 | − | 0.279803i | \(-0.0902692\pi\) |
−0.999998 | + | 0.00201028i | \(0.999360\pi\) | |||||||
\(168\) | −4.33885 | + | 1.27400i | −0.334749 | + | 0.0982913i | ||||
\(169\) | −5.36098 | − | 11.7389i | −0.412383 | − | 0.902993i | ||||
\(170\) | 0.0220557 | + | 0.0254537i | 0.00169160 | + | 0.00195221i | ||||
\(171\) | 9.48529 | − | 65.9716i | 0.725358 | − | 5.04498i | ||||
\(172\) | 2.93263 | + | 20.3969i | 0.223611 | + | 1.55525i | ||||
\(173\) | 3.26171 | + | 7.14215i | 0.247983 | + | 0.543007i | 0.992160 | − | 0.124976i | \(-0.0398852\pi\) |
−0.744177 | + | 0.667983i | \(0.767158\pi\) | |||||||
\(174\) | 0.817032 | − | 1.78905i | 0.0619390 | − | 0.135628i | ||||
\(175\) | −2.47762 | − | 0.727494i | −0.187290 | − | 0.0549934i | ||||
\(176\) | 10.6305 | − | 7.33630i | 0.801306 | − | 0.552994i | ||||
\(177\) | −26.1983 | + | 7.69253i | −1.96919 | + | 0.578206i | ||||
\(178\) | −0.0858787 | + | 0.597300i | −0.00643688 | + | 0.0447695i | ||||
\(179\) | 5.17926 | − | 11.3410i | 0.387116 | − | 0.847666i | −0.611300 | − | 0.791399i | \(-0.709353\pi\) |
0.998416 | − | 0.0562668i | \(-0.0179197\pi\) | |||||||
\(180\) | −15.1295 | + | 4.44242i | −1.12769 | + | 0.331118i | ||||
\(181\) | −5.00795 | + | 1.47047i | −0.372238 | + | 0.109299i | −0.462500 | − | 0.886619i | \(-0.653048\pi\) |
0.0902625 | + | 0.995918i | \(0.471229\pi\) | |||||||
\(182\) | 0.101399 | − | 0.0297734i | 0.00751617 | − | 0.00220695i | ||||
\(183\) | −22.9218 | + | 6.73045i | −1.69443 | + | 0.497529i | ||||
\(184\) | −0.765957 | + | 1.67721i | −0.0564671 | + | 0.123646i | ||||
\(185\) | −0.880429 | + | 6.12352i | −0.0647304 | + | 0.450210i | ||||
\(186\) | −2.12891 | + | 0.625105i | −0.156099 | + | 0.0458349i | ||||
\(187\) | −0.798463 | + | 0.263241i | −0.0583894 | + | 0.0192501i | ||||
\(188\) | 11.8155 | + | 3.46933i | 0.861731 | + | 0.253027i | ||||
\(189\) | −17.5894 | + | 38.5154i | −1.27944 | + | 2.80158i | ||||
\(190\) | 0.462475 | + | 1.01268i | 0.0335515 | + | 0.0734675i | ||||
\(191\) | 2.05677 | + | 14.3052i | 0.148823 | + | 1.03509i | 0.918151 | + | 0.396231i | \(0.129682\pi\) |
−0.769328 | + | 0.638854i | \(0.779409\pi\) | |||||||
\(192\) | −3.57010 | + | 24.8306i | −0.257649 | + | 1.79199i | ||||
\(193\) | 3.64148 | + | 4.20249i | 0.262119 | + | 0.302502i | 0.871519 | − | 0.490361i | \(-0.163135\pi\) |
−0.609400 | + | 0.792863i | \(0.708590\pi\) | |||||||
\(194\) | 0.127020 | + | 0.278135i | 0.00911950 | + | 0.0199689i | ||||
\(195\) | 0.978192 | − | 0.287223i | 0.0700498 | − | 0.0205685i | ||||
\(196\) | −0.0937117 | − | 0.651779i | −0.00669369 | − | 0.0465556i | ||||
\(197\) | 12.8061 | − | 14.7790i | 0.912398 | − | 1.05296i | −0.0859952 | − | 0.996296i | \(-0.527407\pi\) |
0.998393 | − | 0.0566678i | \(-0.0180476\pi\) | |||||||
\(198\) | −0.384569 | + | 3.48400i | −0.0273301 | + | 0.247597i | ||||
\(199\) | −6.72612 | − | 7.76236i | −0.476802 | − | 0.550259i | 0.465489 | − | 0.885054i | \(-0.345878\pi\) |
−0.942291 | + | 0.334795i | \(0.891333\pi\) | |||||||
\(200\) | 0.346495 | − | 0.399876i | 0.0245009 | − | 0.0282755i | ||||
\(201\) | −35.3508 | − | 10.3799i | −2.49346 | − | 0.732145i | ||||
\(202\) | 1.91206 | 0.134532 | ||||||||
\(203\) | −9.71571 | − | 6.24391i | −0.681909 | − | 0.438236i | ||||
\(204\) | 0.690905 | − | 1.51287i | 0.0483730 | − | 0.105922i | ||||
\(205\) | −2.12100 | + | 1.36309i | −0.148137 | + | 0.0952021i | ||||
\(206\) | 1.00180 | + | 0.643820i | 0.0697990 | + | 0.0448571i | ||||
\(207\) | 11.5149 | + | 25.2141i | 0.800339 | + | 1.75250i | ||||
\(208\) | 0.170718 | − | 1.18737i | 0.0118372 | − | 0.0823294i | ||||
\(209\) | −27.7753 | + | 0.913117i | −1.92126 | + | 0.0631616i | ||||
\(210\) | −0.161601 | − | 1.12396i | −0.0111515 | − | 0.0775605i | ||||
\(211\) | −3.86046 | + | 2.48097i | −0.265765 | + | 0.170797i | −0.666736 | − | 0.745294i | \(-0.732309\pi\) |
0.400971 | + | 0.916091i | \(0.368673\pi\) | |||||||
\(212\) | 14.7484 | − | 9.47825i | 1.01293 | − | 0.650969i | ||||
\(213\) | 1.95179 | − | 13.5750i | 0.133734 | − | 0.930142i | ||||
\(214\) | −0.694868 | + | 0.446565i | −0.0475002 | + | 0.0305265i | ||||
\(215\) | −10.3951 | −0.708938 | ||||||||
\(216\) | −5.68163 | − | 6.55695i | −0.386586 | − | 0.446144i | ||||
\(217\) | 1.85420 | + | 12.8963i | 0.125871 | + | 0.875455i | ||||
\(218\) | −1.07840 | − | 1.24454i | −0.0730386 | − | 0.0842911i | ||||
\(219\) | 1.89205 | + | 4.14301i | 0.127853 | + | 0.279959i | ||||
\(220\) | 2.92626 | + | 5.88759i | 0.197288 | + | 0.396941i | ||||
\(221\) | −0.0324366 | + | 0.0710263i | −0.00218192 | + | 0.00477775i | ||||
\(222\) | −2.61028 | + | 0.766447i | −0.175191 | + | 0.0514406i | ||||
\(223\) | −2.79240 | + | 19.4216i | −0.186993 | + | 1.30056i | 0.652748 | + | 0.757575i | \(0.273616\pi\) |
−0.839740 | + | 0.542988i | \(0.817293\pi\) | |||||||
\(224\) | −3.90386 | − | 1.14628i | −0.260837 | − | 0.0765888i | ||||
\(225\) | −1.13202 | − | 7.87335i | −0.0754678 | − | 0.524890i | ||||
\(226\) | −0.729259 | − | 1.59685i | −0.0485096 | − | 0.106221i | ||||
\(227\) | 16.1799 | − | 18.6726i | 1.07390 | − | 1.23934i | 0.104324 | − | 0.994543i | \(-0.466732\pi\) |
0.969574 | − | 0.244800i | \(-0.0787224\pi\) | |||||||
\(228\) | 36.0014 | − | 41.5478i | 2.38425 | − | 2.75157i | ||||
\(229\) | 4.56725 | + | 2.93519i | 0.301812 | + | 0.193963i | 0.682777 | − | 0.730626i | \(-0.260772\pi\) |
−0.380965 | + | 0.924589i | \(0.624408\pi\) | |||||||
\(230\) | −0.389502 | − | 0.250318i | −0.0256830 | − | 0.0165055i | ||||
\(231\) | 27.4448 | + | 7.08786i | 1.80574 | + | 0.466347i | ||||
\(232\) | 1.99081 | − | 1.27942i | 0.130703 | − | 0.0839979i | ||||
\(233\) | 24.3409 | 1.59463 | 0.797313 | − | 0.603566i | \(-0.206254\pi\) | ||||
0.797313 | + | 0.603566i | \(0.206254\pi\) | |||||||
\(234\) | 0.213182 | + | 0.246025i | 0.0139361 | + | 0.0160832i | ||||
\(235\) | −2.58054 | + | 5.65060i | −0.168336 | + | 0.368605i | ||||
\(236\) | −15.6914 | − | 4.60740i | −1.02142 | − | 0.299916i | ||||
\(237\) | 14.6733 | − | 16.9339i | 0.953134 | − | 1.09998i | ||||
\(238\) | 0.0731630 | + | 0.0470190i | 0.00474246 | + | 0.00304779i | ||||
\(239\) | 0.945989 | 0.0611909 | 0.0305955 | − | 0.999532i | \(-0.490260\pi\) | ||||
0.0305955 | + | 0.999532i | \(0.490260\pi\) | |||||||
\(240\) | −12.3673 | − | 3.63136i | −0.798305 | − | 0.234403i | ||||
\(241\) | 7.83725 | 0.504842 | 0.252421 | − | 0.967618i | \(-0.418773\pi\) | ||||
0.252421 | + | 0.967618i | \(0.418773\pi\) | |||||||
\(242\) | 1.45835 | − | 0.0959907i | 0.0937465 | − | 0.00617052i | ||||
\(243\) | −51.4505 | −3.30055 | ||||||||
\(244\) | −13.7289 | − | 4.03117i | −0.878903 | − | 0.258069i | ||||
\(245\) | 0.332173 | 0.0212217 | ||||||||
\(246\) | −0.932702 | − | 0.599411i | −0.0594669 | − | 0.0382171i | ||||
\(247\) | −1.69019 | + | 1.95059i | −0.107544 | + | 0.124113i | ||||
\(248\) | −2.56156 | − | 0.752141i | −0.162659 | − | 0.0477610i | ||||
\(249\) | 1.30973 | − | 2.86791i | 0.0830009 | − | 0.181747i | ||||
\(250\) | 0.0870077 | + | 0.100412i | 0.00550285 | + | 0.00635063i | ||||
\(251\) | 21.0005 | 1.32554 | 0.662769 | − | 0.748824i | \(-0.269381\pi\) | ||||
0.662769 | + | 0.748824i | \(0.269381\pi\) | |||||||
\(252\) | −34.2532 | + | 22.0132i | −2.15775 | + | 1.38670i | ||||
\(253\) | 9.51238 | − | 6.56465i | 0.598038 | − | 0.412716i | ||||
\(254\) | 2.10705 | + | 1.35412i | 0.132208 | + | 0.0849649i | ||||
\(255\) | 0.705803 | + | 0.453592i | 0.0441991 | + | 0.0284050i | ||||
\(256\) | −9.56515 | + | 11.0388i | −0.597822 | + | 0.689923i | ||||
\(257\) | 15.5185 | − | 17.9093i | 0.968018 | − | 1.11715i | −0.0250586 | − | 0.999686i | \(-0.507977\pi\) |
0.993077 | − | 0.117467i | \(-0.0374773\pi\) | |||||||
\(258\) | −1.89894 | − | 4.15810i | −0.118223 | − | 0.258872i | ||||
\(259\) | 2.27345 | + | 15.8122i | 0.141266 | + | 0.982524i | ||||
\(260\) | 0.585884 | + | 0.172031i | 0.0363350 | + | 0.0106689i | ||||
\(261\) | 5.06301 | − | 35.2140i | 0.313392 | − | 2.17969i | ||||
\(262\) | −2.19857 | + | 0.645559i | −0.135828 | + | 0.0398828i | ||||
\(263\) | 5.79764 | − | 12.6951i | 0.357498 | − | 0.782811i | −0.642367 | − | 0.766397i | \(-0.722048\pi\) |
0.999865 | − | 0.0164145i | \(-0.00522513\pi\) | |||||||
\(264\) | −3.65724 | + | 4.51210i | −0.225088 | + | 0.277701i | ||||
\(265\) | 3.67385 | + | 8.04461i | 0.225683 | + | 0.494177i | ||||
\(266\) | 1.88255 | + | 2.17258i | 0.115427 | + | 0.133210i | ||||
\(267\) | 2.13929 | + | 14.8791i | 0.130922 | + | 0.910585i | ||||
\(268\) | −14.4509 | − | 16.6772i | −0.882727 | − | 1.01872i | ||||
\(269\) | 18.7200 | 1.14138 | 0.570688 | − | 0.821167i | \(-0.306677\pi\) | ||||
0.570688 | + | 0.821167i | \(0.306677\pi\) | |||||||
\(270\) | 1.83279 | − | 1.17786i | 0.111540 | − | 0.0716823i | ||||
\(271\) | −0.902414 | + | 6.27643i | −0.0548178 | + | 0.381266i | 0.943882 | + | 0.330283i | \(0.107144\pi\) |
−0.998700 | + | 0.0509824i | \(0.983765\pi\) | |||||||
\(272\) | 0.830483 | − | 0.533719i | 0.0503554 | − | 0.0323615i | ||||
\(273\) | 2.21463 | − | 1.42326i | 0.134036 | − | 0.0861394i | ||||
\(274\) | −0.0142413 | − | 0.0990504i | −0.000860348 | − | 0.00598385i | ||||
\(275\) | −3.14986 | + | 1.03846i | −0.189944 | + | 0.0626214i | ||||
\(276\) | −3.25384 | + | 22.6310i | −0.195858 | + | 1.36223i | ||||
\(277\) | −1.47309 | − | 3.22562i | −0.0885096 | − | 0.193809i | 0.860201 | − | 0.509956i | \(-0.170338\pi\) |
−0.948710 | + | 0.316147i | \(0.897611\pi\) | |||||||
\(278\) | 2.49470 | + | 1.60325i | 0.149622 | + | 0.0961563i | ||||
\(279\) | −33.7633 | + | 21.6983i | −2.02135 | + | 1.29904i | ||||
\(280\) | 0.567574 | − | 1.24281i | 0.0339190 | − | 0.0742723i | ||||
\(281\) | −18.3838 | − | 11.8146i | −1.09669 | − | 0.704798i | −0.138335 | − | 0.990385i | \(-0.544175\pi\) |
−0.958353 | + | 0.285587i | \(0.907811\pi\) | |||||||
\(282\) | −2.73168 | −0.162669 | ||||||||
\(283\) | 10.1554 | + | 2.98188i | 0.603673 | + | 0.177254i | 0.569266 | − | 0.822153i | \(-0.307227\pi\) |
0.0344073 | + | 0.999408i | \(0.489046\pi\) | |||||||
\(284\) | 5.37921 | − | 6.20793i | 0.319197 | − | 0.368373i | ||||
\(285\) | 18.1610 | + | 20.9589i | 1.07576 | + | 1.24150i | ||||
\(286\) | 0.0854696 | − | 0.105448i | 0.00505392 | − | 0.00623525i | ||||
\(287\) | −4.26340 | + | 4.92022i | −0.251660 | + | 0.290432i | ||||
\(288\) | −1.78366 | − | 12.4057i | −0.105103 | − | 0.731010i | ||||
\(289\) | 16.2497 | − | 4.77135i | 0.955866 | − | 0.280668i | ||||
\(290\) | 0.246858 | + | 0.540543i | 0.0144960 | + | 0.0317418i | ||||
\(291\) | 4.98796 | + | 5.75641i | 0.292399 | + | 0.337447i | ||||
\(292\) | −0.388229 | + | 2.70019i | −0.0227194 | + | 0.158017i | ||||
\(293\) | −1.34830 | − | 9.37765i | −0.0787687 | − | 0.547848i | −0.990548 | − | 0.137168i | \(-0.956200\pi\) |
0.911779 | − | 0.410681i | \(-0.134709\pi\) | |||||||
\(294\) | 0.0606803 | + | 0.132871i | 0.00353894 | + | 0.00774921i | ||||
\(295\) | 3.42706 | − | 7.50421i | 0.199531 | − | 0.436912i | ||||
\(296\) | −3.14075 | − | 0.922208i | −0.182552 | − | 0.0536023i | ||||
\(297\) | 9.50423 | + | 53.5473i | 0.551491 | + | 3.10713i | ||||
\(298\) | 2.10062 | − | 0.616797i | 0.121686 | − | 0.0357301i | ||||
\(299\) | 0.152762 | − | 1.06248i | 0.00883443 | − | 0.0614448i | ||||
\(300\) | 2.72555 | − | 5.96813i | 0.157360 | − | 0.344570i | ||||
\(301\) | −25.7550 | + | 7.56235i | −1.48449 | + | 0.435887i | ||||
\(302\) | 0.978871 | − | 0.287422i | 0.0563277 | − | 0.0165393i | ||||
\(303\) | 45.7011 | − | 13.4190i | 2.62546 | − | 0.770904i | ||||
\(304\) | 31.3097 | − | 9.19337i | 1.79574 | − | 0.527276i | ||||
\(305\) | 2.99845 | − | 6.56569i | 0.171691 | − | 0.375950i | ||||
\(306\) | −0.0381264 | + | 0.265175i | −0.00217954 | + | 0.0151590i | ||||
\(307\) | −0.810862 | + | 0.238090i | −0.0462783 | + | 0.0135885i | −0.304790 | − | 0.952420i | \(-0.598586\pi\) |
0.258511 | + | 0.966008i | \(0.416768\pi\) | |||||||
\(308\) | 11.5333 | + | 12.4583i | 0.657173 | + | 0.709880i | ||||
\(309\) | 28.4631 | + | 8.35751i | 1.61921 | + | 0.475442i | ||||
\(310\) | 0.278487 | − | 0.609802i | 0.0158170 | − | 0.0346344i | ||||
\(311\) | 2.59639 | + | 5.68530i | 0.147228 | + | 0.322384i | 0.968850 | − | 0.247649i | \(-0.0796578\pi\) |
−0.821622 | + | 0.570033i | \(0.806931\pi\) | |||||||
\(312\) | 0.0767680 | + | 0.533933i | 0.00434613 | + | 0.0302280i | ||||
\(313\) | 2.00600 | − | 13.9521i | 0.113386 | − | 0.788617i | −0.851199 | − | 0.524844i | \(-0.824124\pi\) |
0.964585 | − | 0.263773i | \(-0.0849671\pi\) | |||||||
\(314\) | 1.66075 | + | 1.91661i | 0.0937216 | + | 0.108160i | ||||
\(315\) | −8.53252 | − | 18.6836i | −0.480753 | − | 1.05270i | ||||
\(316\) | 12.8768 | − | 3.78097i | 0.724377 | − | 0.212696i | ||||
\(317\) | 1.12343 | + | 7.81360i | 0.0630979 | + | 0.438855i | 0.996742 | + | 0.0806538i | \(0.0257008\pi\) |
−0.933644 | + | 0.358201i | \(0.883390\pi\) | |||||||
\(318\) | −2.54677 | + | 2.93913i | −0.142816 | + | 0.164818i | ||||
\(319\) | −14.8258 | + | 0.487398i | −0.830084 | + | 0.0272891i | ||||
\(320\) | −4.96348 | − | 5.72816i | −0.277467 | − | 0.320214i | ||||
\(321\) | −13.4744 | + | 15.5502i | −0.752066 | + | 0.867930i | ||||
\(322\) | −1.14714 | − | 0.336831i | −0.0639277 | − | 0.0187709i | ||||
\(323\) | −2.12403 | −0.118184 | ||||||||
\(324\) | −50.7104 | − | 32.5896i | −2.81724 | − | 1.81053i | ||||
\(325\) | −0.127959 | + | 0.280192i | −0.00709791 | + | 0.0155422i | ||||
\(326\) | 0.614803 | − | 0.395110i | 0.0340508 | − | 0.0218831i | ||||
\(327\) | −34.5098 | − | 22.1781i | −1.90840 | − | 1.22645i | ||||
\(328\) | −0.554172 | − | 1.21347i | −0.0305990 | − | 0.0670026i | ||||
\(329\) | −2.28282 | + | 15.8774i | −0.125856 | + | 0.875347i | ||||
\(330\) | −0.990796 | − | 1.07026i | −0.0545415 | − | 0.0589160i | ||||
\(331\) | 4.00711 | + | 27.8701i | 0.220251 | + | 1.53188i | 0.737089 | + | 0.675795i | \(0.236200\pi\) |
−0.516839 | + | 0.856083i | \(0.672891\pi\) | |||||||
\(332\) | 1.58860 | − | 1.02093i | 0.0871856 | − | 0.0560308i | ||||
\(333\) | −41.3975 | + | 26.6045i | −2.26857 | + | 1.45792i | ||||
\(334\) | −0.0685775 | + | 0.476967i | −0.00375239 | + | 0.0260985i | ||||
\(335\) | 9.36466 | − | 6.01830i | 0.511646 | − | 0.328815i | ||||
\(336\) | −33.2832 | −1.81575 | ||||||||
\(337\) | −6.97677 | − | 8.05162i | −0.380049 | − | 0.438600i | 0.533208 | − | 0.845984i | \(-0.320986\pi\) |
−0.913257 | + | 0.407385i | \(0.866441\pi\) | |||||||
\(338\) | 0.244017 | + | 1.69718i | 0.0132728 | + | 0.0923144i | ||||
\(339\) | −28.6373 | − | 33.0492i | −1.55537 | − | 1.79499i | ||||
\(340\) | 0.208750 | + | 0.457098i | 0.0113210 | + | 0.0247896i | ||||
\(341\) | 11.3684 | + | 12.2801i | 0.615631 | + | 0.665007i | ||||
\(342\) | −3.67868 | + | 8.05517i | −0.198920 | + | 0.435574i | ||||
\(343\) | 18.1663 | − | 5.33411i | 0.980888 | − | 0.288015i | ||||
\(344\) | 0.782754 | − | 5.44418i | 0.0422033 | − | 0.293530i | ||||
\(345\) | −11.0665 | − | 3.24941i | −0.595798 | − | 0.174942i | ||||
\(346\) | −0.148464 | − | 1.03259i | −0.00798149 | − | 0.0555125i | ||||
\(347\) | 8.88588 | + | 19.4574i | 0.477019 | + | 1.04453i | 0.983272 | + | 0.182141i | \(0.0583028\pi\) |
−0.506253 | + | 0.862385i | \(0.668970\pi\) | |||||||
\(348\) | 19.2166 | − | 22.1771i | 1.03012 | − | 1.18882i | ||||
\(349\) | −23.4430 | + | 27.0546i | −1.25487 | + | 1.44820i | −0.411021 | + | 0.911626i | \(0.634828\pi\) |
−0.843853 | + | 0.536575i | \(0.819718\pi\) | |||||||
\(350\) | 0.288621 | + | 0.185485i | 0.0154274 | + | 0.00991461i | ||||
\(351\) | 4.24906 | + | 2.73071i | 0.226798 | + | 0.145754i | ||||
\(352\) | −4.96308 | + | 1.63625i | −0.264533 | + | 0.0872123i | ||||
\(353\) | −16.6637 | + | 10.7091i | −0.886922 | + | 0.569990i | −0.902885 | − | 0.429882i | \(-0.858555\pi\) |
0.0159629 | + | 0.999873i | \(0.494919\pi\) | |||||||
\(354\) | 3.62778 | 0.192814 | ||||||||
\(355\) | 2.71355 | + | 3.13161i | 0.144020 | + | 0.166209i | ||||
\(356\) | −3.74015 | + | 8.18978i | −0.198227 | + | 0.434057i | ||||
\(357\) | 2.07869 | + | 0.610360i | 0.110016 | + | 0.0323037i | ||||
\(358\) | −1.08478 | + | 1.25191i | −0.0573326 | + | 0.0661654i | ||||
\(359\) | 8.70531 | + | 5.59456i | 0.459449 | + | 0.295270i | 0.749817 | − | 0.661645i | \(-0.230141\pi\) |
−0.290368 | + | 0.956915i | \(0.593778\pi\) | |||||||
\(360\) | 4.20873 | 0.221819 | ||||||||
\(361\) | −49.1351 | − | 14.4274i | −2.58606 | − | 0.759335i | ||||
\(362\) | 0.693468 | 0.0364479 | ||||||||
\(363\) | 34.1832 | − | 12.5292i | 1.79415 | − | 0.657614i | ||||
\(364\) | 1.57675 | 0.0826439 | ||||||||
\(365\) | −1.32038 | − | 0.387699i | −0.0691120 | − | 0.0202931i | ||||
\(366\) | 3.17407 | 0.165911 | ||||||||
\(367\) | −30.3651 | − | 19.5144i | −1.58504 | − | 1.01865i | −0.973858 | − | 0.227159i | \(-0.927056\pi\) |
−0.611186 | − | 0.791487i | \(-0.709307\pi\) | |||||||
\(368\) | −8.88716 | + | 10.2563i | −0.463275 | + | 0.534648i | ||||
\(369\) | −19.2424 | − | 5.65008i | −1.00172 | − | 0.294131i | ||||
\(370\) | 0.341456 | − | 0.747685i | 0.0177515 | − | 0.0388703i | ||||
\(371\) | 14.9548 | + | 17.2588i | 0.776415 | + | 0.896030i | ||||
\(372\) | −33.1045 | −1.71639 | ||||||||
\(373\) | 11.9183 | − | 7.65941i | 0.617105 | − | 0.396589i | −0.194411 | − | 0.980920i | \(-0.562279\pi\) |
0.811515 | + | 0.584331i | \(0.198643\pi\) | |||||||
\(374\) | 0.111644 | − | 0.00367030i | 0.00577296 | − | 0.000189787i | ||||
\(375\) | 2.78432 | + | 1.78938i | 0.143782 | + | 0.0924029i | ||||
\(376\) | −2.76506 | − | 1.77699i | −0.142597 | − | 0.0916414i | ||||
\(377\) | −0.902182 | + | 1.04117i | −0.0464647 | + | 0.0536232i | ||||
\(378\) | 3.68405 | − | 4.25163i | 0.189487 | − | 0.218680i | ||||
\(379\) | −2.06812 | − | 4.52854i | −0.106232 | − | 0.232616i | 0.849050 | − | 0.528313i | \(-0.177175\pi\) |
−0.955282 | + | 0.295697i | \(0.904448\pi\) | |||||||
\(380\) | 2.36389 | + | 16.4412i | 0.121265 | + | 0.843417i | ||||
\(381\) | 59.8651 | + | 17.5780i | 3.06698 | + | 0.900546i | ||||
\(382\) | 0.273272 | − | 1.90065i | 0.0139818 | − | 0.0972456i | ||||
\(383\) | 4.03720 | − | 1.18543i | 0.206291 | − | 0.0605725i | −0.176954 | − | 0.984219i | \(-0.556625\pi\) |
0.383245 | + | 0.923647i | \(0.374806\pi\) | |||||||
\(384\) | 5.71735 | − | 12.5193i | 0.291762 | − | 0.638870i | ||||
\(385\) | −7.04867 | + | 4.86440i | −0.359233 | + | 0.247913i | ||||
\(386\) | −0.306916 | − | 0.672053i | −0.0156216 | − | 0.0342066i | ||||
\(387\) | −54.1476 | − | 62.4897i | −2.75248 | − | 3.17653i | ||||
\(388\) | 0.649249 | + | 4.51562i | 0.0329606 | + | 0.229246i | ||||
\(389\) | 6.31073 | + | 7.28297i | 0.319967 | + | 0.369261i | 0.892833 | − | 0.450387i | \(-0.148714\pi\) |
−0.572866 | + | 0.819649i | \(0.694169\pi\) | |||||||
\(390\) | −0.135454 | −0.00685897 | ||||||||
\(391\) | 0.743131 | − | 0.477581i | 0.0375817 | − | 0.0241523i | ||||
\(392\) | −0.0250128 | + | 0.173968i | −0.00126334 | + | 0.00878669i | ||||
\(393\) | −48.0186 | + | 30.8597i | −2.42222 | + | 1.55667i | ||||
\(394\) | −2.18577 | + | 1.40471i | −0.110117 | + | 0.0707682i | ||||
\(395\) | 0.963467 | + | 6.70106i | 0.0484773 | + | 0.337167i | ||||
\(396\) | −20.1503 | + | 48.2594i | −1.01259 | + | 2.42513i | ||||
\(397\) | 4.94347 | − | 34.3826i | 0.248105 | − | 1.72561i | −0.361038 | − | 0.932551i | \(-0.617578\pi\) |
0.609143 | − | 0.793060i | \(-0.291513\pi\) | |||||||
\(398\) | 0.566900 | + | 1.24134i | 0.0284161 | + | 0.0622227i | ||||
\(399\) | 60.2434 | + | 38.7161i | 3.01594 | + | 1.93823i | ||||
\(400\) | 3.27617 | − | 2.10547i | 0.163809 | − | 0.105273i | ||||
\(401\) | −0.0242316 | + | 0.0530598i | −0.00121007 | + | 0.00264968i | −0.910236 | − | 0.414090i | \(-0.864100\pi\) |
0.909026 | + | 0.416739i | \(0.136827\pi\) | |||||||
\(402\) | 4.11807 | + | 2.64652i | 0.205391 | + | 0.131997i | ||||
\(403\) | 1.55419 | 0.0774198 | ||||||||
\(404\) | 27.3724 | + | 8.03727i | 1.36183 | + | 0.399869i | ||||
\(405\) | 19.9131 | − | 22.9810i | 0.989491 | − | 1.14193i | ||||
\(406\) | 1.00486 | + | 1.15967i | 0.0498703 | + | 0.0575534i | ||||
\(407\) | 13.9388 | + | 15.0568i | 0.690923 | + | 0.746338i | ||||
\(408\) | −0.290706 | + | 0.335492i | −0.0143921 | + | 0.0166093i | ||||
\(409\) | −2.23709 | − | 15.5593i | −0.110617 | − | 0.769358i | −0.967322 | − | 0.253551i | \(-0.918401\pi\) |
0.856705 | − | 0.515807i | \(-0.172508\pi\) | |||||||
\(410\) | 0.321414 | − | 0.0943758i | 0.0158735 | − | 0.00466089i | ||||
\(411\) | −1.03554 | − | 2.26751i | −0.0510793 | − | 0.111848i | ||||
\(412\) | 11.6353 | + | 13.4278i | 0.573228 | + | 0.661540i | ||||
\(413\) | 3.03167 | − | 21.0857i | 0.149179 | − | 1.03756i | ||||
\(414\) | −0.524126 | − | 3.64538i | −0.0257594 | − | 0.179161i | ||||
\(415\) | 0.395721 | + | 0.866509i | 0.0194252 | + | 0.0425353i | ||||
\(416\) | −0.201619 | + | 0.441485i | −0.00988520 | + | 0.0216456i | ||||
\(417\) | 70.8789 | + | 20.8119i | 3.47096 | + | 1.01916i | ||||
\(418\) | 3.57505 | + | 0.923287i | 0.174861 | + | 0.0451594i | ||||
\(419\) | −27.1541 | + | 7.97317i | −1.32657 | + | 0.389515i | −0.866858 | − | 0.498555i | \(-0.833864\pi\) |
−0.459708 | + | 0.888070i | \(0.652046\pi\) | |||||||
\(420\) | 2.41110 | − | 16.7695i | 0.117649 | − | 0.818270i | ||||
\(421\) | −0.558992 | + | 1.22402i | −0.0272436 | + | 0.0596552i | −0.922765 | − | 0.385364i | \(-0.874076\pi\) |
0.895521 | + | 0.445019i | \(0.146803\pi\) | |||||||
\(422\) | 0.585009 | − | 0.171774i | 0.0284778 | − | 0.00836184i | ||||
\(423\) | −47.4104 | + | 13.9209i | −2.30517 | + | 0.676860i | ||||
\(424\) | −4.48982 | + | 1.31833i | −0.218045 | + | 0.0640238i | ||||
\(425\) | −0.243224 | + | 0.0714169i | −0.0117981 | + | 0.00346423i | ||||
\(426\) | −0.756960 | + | 1.65751i | −0.0366748 | + | 0.0803067i | ||||
\(427\) | 2.65251 | − | 18.4486i | 0.128364 | − | 0.892790i | ||||
\(428\) | −11.8246 | + | 3.47203i | −0.571566 | + | 0.167827i | ||||
\(429\) | 1.30281 | − | 3.12020i | 0.0629002 | − | 0.150644i | ||||
\(430\) | 1.32519 | + | 0.389111i | 0.0639063 | + | 0.0187646i | ||||
\(431\) | 5.77542 | − | 12.6464i | 0.278192 | − | 0.609156i | −0.718029 | − | 0.696014i | \(-0.754955\pi\) |
0.996221 | + | 0.0868577i | \(0.0276825\pi\) | |||||||
\(432\) | −26.5276 | − | 58.0874i | −1.27631 | − | 2.79473i | ||||
\(433\) | −0.583511 | − | 4.05841i | −0.0280417 | − | 0.195035i | 0.970985 | − | 0.239140i | \(-0.0768654\pi\) |
−0.999027 | + | 0.0441052i | \(0.985956\pi\) | |||||||
\(434\) | 0.246357 | − | 1.71345i | 0.0118255 | − | 0.0822484i | ||||
\(435\) | 9.69387 | + | 11.1873i | 0.464785 | + | 0.536391i | ||||
\(436\) | −10.2067 | − | 22.3495i | −0.488812 | − | 1.07035i | ||||
\(437\) | 28.0165 | − | 8.22639i | 1.34021 | − | 0.393521i | ||||
\(438\) | −0.0861211 | − | 0.598985i | −0.00411502 | − | 0.0286206i | ||||
\(439\) | −0.744621 | + | 0.859338i | −0.0355388 | + | 0.0410140i | −0.773241 | − | 0.634113i | \(-0.781366\pi\) |
0.737702 | + | 0.675127i | \(0.235911\pi\) | |||||||
\(440\) | −0.306682 | − | 1.72786i | −0.0146205 | − | 0.0823726i | ||||
\(441\) | 1.73028 | + | 1.99685i | 0.0823941 | + | 0.0950879i | ||||
\(442\) | 0.00679378 | − | 0.00784044i | 0.000323147 | − | 0.000372932i | ||||
\(443\) | −22.6543 | − | 6.65189i | −1.07634 | − | 0.316041i | −0.304924 | − | 0.952377i | \(-0.598631\pi\) |
−0.771412 | + | 0.636336i | \(0.780449\pi\) | |||||||
\(444\) | −40.5897 | −1.92630 | ||||||||
\(445\) | −3.82079 | − | 2.45548i | −0.181123 | − | 0.116401i | ||||
\(446\) | 1.08297 | − | 2.37138i | 0.0512803 | − | 0.112288i | ||||
\(447\) | 45.8792 | − | 29.4848i | 2.17001 | − | 1.39458i | ||||
\(448\) | −16.4648 | − | 10.5813i | −0.777888 | − | 0.499918i | ||||
\(449\) | −3.86516 | − | 8.46352i | −0.182408 | − | 0.399418i | 0.796234 | − | 0.604989i | \(-0.206822\pi\) |
−0.978642 | + | 0.205570i | \(0.934095\pi\) | |||||||
\(450\) | −0.150405 | + | 1.04609i | −0.00709015 | + | 0.0493131i | ||||
\(451\) | −0.917440 | + | 8.31154i | −0.0432005 | + | 0.391375i | ||||
\(452\) | −3.72752 | − | 25.9255i | −0.175328 | − | 1.21943i | ||||
\(453\) | 21.3793 | − | 13.7397i | 1.00449 | − | 0.645546i | ||||
\(454\) | −2.76161 | + | 1.77478i | −0.129609 | + | 0.0832945i | ||||
\(455\) | −0.113196 | + | 0.787297i | −0.00530672 | + | 0.0369091i | ||||
\(456\) | −12.3443 | + | 7.93317i | −0.578073 | + | 0.371505i | ||||
\(457\) | 22.6884 | 1.06132 | 0.530659 | − | 0.847586i | \(-0.321945\pi\) | ||||
0.530659 | + | 0.847586i | \(0.321945\pi\) | |||||||
\(458\) | −0.472373 | − | 0.545148i | −0.0220726 | − | 0.0254731i | ||||
\(459\) | 0.591548 | + | 4.11431i | 0.0276111 | + | 0.192040i | ||||
\(460\) | −4.52380 | − | 5.22074i | −0.210923 | − | 0.243418i | ||||
\(461\) | −12.5876 | − | 27.5631i | −0.586264 | − | 1.28374i | −0.937673 | − | 0.347518i | \(-0.887025\pi\) |
0.351409 | − | 0.936222i | \(-0.385703\pi\) | |||||||
\(462\) | −3.23342 | − | 1.93090i | −0.150432 | − | 0.0898336i | ||||
\(463\) | −6.00238 | + | 13.1434i | −0.278954 | + | 0.610825i | −0.996305 | − | 0.0858875i | \(-0.972627\pi\) |
0.717350 | + | 0.696713i | \(0.245355\pi\) | |||||||
\(464\) | 16.7123 | − | 4.90718i | 0.775851 | − | 0.227810i | ||||
\(465\) | 2.37661 | − | 16.5297i | 0.110213 | − | 0.766545i | ||||
\(466\) | −3.10304 | − | 0.911135i | −0.143746 | − | 0.0422075i | ||||
\(467\) | −1.53868 | − | 10.7018i | −0.0712018 | − | 0.495219i | −0.993952 | − | 0.109820i | \(-0.964973\pi\) |
0.922750 | − | 0.385400i | \(-0.125936\pi\) | |||||||
\(468\) | 2.01769 | + | 4.41812i | 0.0932678 | + | 0.204228i | ||||
\(469\) | 18.8238 | − | 21.7238i | 0.869201 | − | 1.00311i | ||||
\(470\) | 0.540489 | − | 0.623757i | 0.0249309 | − | 0.0287718i | ||||
\(471\) | 53.1455 | + | 34.1545i | 2.44881 | + | 1.57376i | ||||
\(472\) | 3.67210 | + | 2.35991i | 0.169022 | + | 0.108624i | ||||
\(473\) | −21.7090 | + | 26.7834i | −0.998182 | + | 1.23150i | ||||
\(474\) | −2.50446 | + | 1.60952i | −0.115034 | + | 0.0739278i | ||||
\(475\) | −8.37911 | −0.384460 | ||||||||
\(476\) | 0.849737 | + | 0.980649i | 0.0389477 | + | 0.0449480i | ||||
\(477\) | −29.2230 | + | 63.9894i | −1.33803 | + | 2.92987i | ||||
\(478\) | −0.120597 | − | 0.0354105i | −0.00551598 | − | 0.00161964i | ||||
\(479\) | 6.44442 | − | 7.43725i | 0.294453 | − | 0.339817i | −0.589176 | − | 0.808005i | \(-0.700548\pi\) |
0.883629 | + | 0.468188i | \(0.155093\pi\) | |||||||
\(480\) | 4.38712 | + | 2.81943i | 0.200244 | + | 0.128689i | ||||
\(481\) | 1.90561 | 0.0868883 | ||||||||
\(482\) | −0.999113 | − | 0.293366i | −0.0455083 | − | 0.0133625i | ||||
\(483\) | −29.7824 | −1.35514 | ||||||||
\(484\) | 21.2808 | + | 4.75597i | 0.967311 | + | 0.216180i | ||||
\(485\) | −2.30134 | −0.104499 | ||||||||
\(486\) | 6.55904 | + | 1.92591i | 0.297524 | + | 0.0873610i | ||||
\(487\) | −9.45572 | −0.428480 | −0.214240 | − | 0.976781i | \(-0.568727\pi\) | ||||
−0.214240 | + | 0.976781i | \(0.568727\pi\) | |||||||
\(488\) | 3.21284 | + | 2.06477i | 0.145438 | + | 0.0934676i | ||||
\(489\) | 11.9218 | − | 13.7585i | 0.539122 | − | 0.622181i | ||||
\(490\) | −0.0423462 | − | 0.0124340i | −0.00191301 | − | 0.000561709i | ||||
\(491\) | −15.9676 | + | 34.9642i | −0.720608 | + | 1.57791i | 0.0924433 | + | 0.995718i | \(0.470532\pi\) |
−0.813051 | + | 0.582193i | \(0.802195\pi\) | |||||||
\(492\) | −10.8327 | − | 12.5016i | −0.488375 | − | 0.563615i | ||||
\(493\) | −1.13376 | −0.0510618 | ||||||||
\(494\) | 0.288485 | − | 0.185398i | 0.0129796 | − | 0.00834145i | ||||
\(495\) | −22.6502 | − | 13.5260i | −1.01805 | − | 0.607948i | ||||
\(496\) | −16.5303 | − | 10.6234i | −0.742233 | − | 0.477004i | ||||
\(497\) | 9.00137 | + | 5.78483i | 0.403767 | + | 0.259485i | ||||
\(498\) | −0.274320 | + | 0.316582i | −0.0122926 | + | 0.0141864i | ||||
\(499\) | −2.07867 | + | 2.39892i | −0.0930542 | + | 0.107390i | −0.800367 | − | 0.599511i | \(-0.795362\pi\) |
0.707313 | + | 0.706901i | \(0.249907\pi\) | |||||||
\(500\) | 0.823497 | + | 1.80321i | 0.0368279 | + | 0.0806418i | ||||
\(501\) | 1.70830 | + | 11.8815i | 0.0763214 | + | 0.530827i | ||||
\(502\) | −2.67719 | − | 0.786095i | −0.119489 | − | 0.0350851i | ||||
\(503\) | 2.42491 | − | 16.8656i | 0.108121 | − | 0.752001i | −0.861565 | − | 0.507648i | \(-0.830515\pi\) |
0.969686 | − | 0.244353i | \(-0.0785757\pi\) | |||||||
\(504\) | 10.4276 | − | 3.06182i | 0.464482 | − | 0.136384i | ||||
\(505\) | −5.97825 | + | 13.0905i | −0.266029 | + | 0.582522i | ||||
\(506\) | −1.45839 | + | 0.480808i | −0.0648334 | + | 0.0213745i | ||||
\(507\) | 17.7434 | + | 38.8526i | 0.788012 | + | 1.72551i | ||||
\(508\) | 24.4719 | + | 28.2421i | 1.08576 | + | 1.25304i | ||||
\(509\) | 1.67305 | + | 11.6363i | 0.0741567 | + | 0.515771i | 0.992715 | + | 0.120486i | \(0.0384452\pi\) |
−0.918558 | + | 0.395285i | \(0.870646\pi\) | |||||||
\(510\) | −0.0729986 | − | 0.0842448i | −0.00323243 | − | 0.00373042i | ||||
\(511\) | −3.55345 | −0.157195 | ||||||||
\(512\) | 8.62903 | − | 5.54554i | 0.381353 | − | 0.245081i | ||||
\(513\) | −19.5535 | + | 135.997i | −0.863307 | + | 6.00443i | ||||
\(514\) | −2.64872 | + | 1.70223i | −0.116830 | + | 0.0750822i | ||||
\(515\) | −7.54005 | + | 4.84569i | −0.332254 | + | 0.213527i | ||||
\(516\) | −9.70622 | − | 67.5082i | −0.427292 | − | 2.97188i | ||||
\(517\) | 9.16985 | + | 18.4496i | 0.403290 | + | 0.811412i | ||||
\(518\) | 0.302061 | − | 2.10088i | 0.0132718 | − | 0.0923075i | ||||
\(519\) | −10.7954 | − | 23.6386i | −0.473864 | − | 1.03762i | ||||
\(520\) | −0.137109 | − | 0.0881143i | −0.00601261 | − | 0.00386407i | ||||
\(521\) | 29.9161 | − | 19.2259i | 1.31065 | − | 0.842301i | 0.316318 | − | 0.948653i | \(-0.397553\pi\) |
0.994329 | + | 0.106352i | \(0.0339170\pi\) | |||||||
\(522\) | −1.96358 | + | 4.29965i | −0.0859437 | + | 0.188190i | ||||
\(523\) | −23.7983 | − | 15.2942i | −1.04063 | − | 0.668770i | −0.0954850 | − | 0.995431i | \(-0.530440\pi\) |
−0.945142 | + | 0.326661i | \(0.894077\pi\) | |||||||
\(524\) | −34.1877 | −1.49350 | ||||||||
\(525\) | 8.20024 | + | 2.40781i | 0.357888 | + | 0.105085i | ||||
\(526\) | −1.21430 | + | 1.40138i | −0.0529461 | + | 0.0611031i | ||||
\(527\) | 0.837582 | + | 0.966622i | 0.0364857 | + | 0.0421067i | ||||
\(528\) | −35.1842 | + | 24.2812i | −1.53119 | + | 1.05670i | ||||
\(529\) | 7.10941 | − | 8.20469i | 0.309105 | − | 0.356726i | ||||
\(530\) | −0.167224 | − | 1.16307i | −0.00726374 | − | 0.0505204i | ||||
\(531\) | 62.9628 | − | 18.4875i | 2.73235 | − | 0.802291i | ||||
\(532\) | 17.8177 | + | 39.0153i | 0.772495 | + | 1.69153i | ||||
\(533\) | 0.508573 | + | 0.586925i | 0.0220287 | + | 0.0254225i | ||||
\(534\) | 0.284235 | − | 1.97690i | 0.0123001 | − | 0.0855489i | ||||
\(535\) | −0.884743 | − | 6.15352i | −0.0382508 | − | 0.266040i | ||||
\(536\) | 2.44678 | + | 5.35771i | 0.105685 | + | 0.231418i | ||||
\(537\) | −17.1420 | + | 37.5356i | −0.739730 | + | 1.61978i | ||||
\(538\) | −2.38647 | − | 0.700730i | −0.102888 | − | 0.0302106i | ||||
\(539\) | 0.693708 | − | 0.855859i | 0.0298801 | − | 0.0368644i | ||||
\(540\) | 31.1887 | − | 9.15784i | 1.34215 | − | 0.394091i | ||||
\(541\) | 1.55581 | − | 10.8209i | 0.0668897 | − | 0.465228i | −0.928656 | − | 0.370943i | \(-0.879034\pi\) |
0.995545 | − | 0.0942848i | \(-0.0300564\pi\) | |||||||
\(542\) | 0.349983 | − | 0.766355i | 0.0150330 | − | 0.0329178i | ||||
\(543\) | 16.5750 | − | 4.86685i | 0.711299 | − | 0.208856i | ||||
\(544\) | −0.383236 | + | 0.112528i | −0.0164311 | + | 0.00482460i | ||||
\(545\) | 11.8923 | − | 3.49189i | 0.509409 | − | 0.149576i | ||||
\(546\) | −0.335602 | + | 0.0985418i | −0.0143625 | + | 0.00421720i | ||||
\(547\) | −7.72943 | + | 16.9251i | −0.330487 | + | 0.723665i | −0.999814 | − | 0.0193031i | \(-0.993855\pi\) |
0.669327 | + | 0.742968i | \(0.266583\pi\) | |||||||
\(548\) | 0.212481 | − | 1.47784i | 0.00907675 | − | 0.0631302i | ||||
\(549\) | 55.0883 | − | 16.1754i | 2.35111 | − | 0.690348i | ||||
\(550\) | 0.440424 | − | 0.0144790i | 0.0187797 | − | 0.000617385i | ||||
\(551\) | −35.9580 | − | 10.5582i | −1.53186 | − | 0.449795i | ||||
\(552\) | 2.53511 | − | 5.55112i | 0.107902 | − | 0.236271i | ||||
\(553\) | 7.26208 | + | 15.9017i | 0.308815 | + | 0.676210i | ||||
\(554\) | 0.0670513 | + | 0.466352i | 0.00284874 | + | 0.0198134i | ||||
\(555\) | 2.91398 | − | 20.2672i | 0.123692 | − | 0.860294i | ||||
\(556\) | 28.9742 | + | 33.4380i | 1.22878 | + | 1.41809i | ||||
\(557\) | −11.3570 | − | 24.8684i | −0.481213 | − | 1.05371i | −0.982128 | − | 0.188213i | \(-0.939731\pi\) |
0.500916 | − | 0.865496i | \(-0.332997\pi\) | |||||||
\(558\) | 5.11644 | − | 1.50232i | 0.216596 | − | 0.0635984i | ||||
\(559\) | 0.455688 | + | 3.16938i | 0.0192735 | + | 0.134050i | ||||
\(560\) | 6.58538 | − | 7.59994i | 0.278283 | − | 0.321156i | ||||
\(561\) | 2.64270 | − | 0.871255i | 0.111575 | − | 0.0367844i | ||||
\(562\) | 1.90137 | + | 2.19430i | 0.0802045 | + | 0.0925609i | ||||
\(563\) | −13.9148 | + | 16.0585i | −0.586437 | + | 0.676785i | −0.968976 | − | 0.247155i | \(-0.920504\pi\) |
0.382539 | + | 0.923939i | \(0.375050\pi\) | |||||||
\(564\) | −39.1060 | − | 11.4826i | −1.64666 | − | 0.483503i | ||||
\(565\) | 13.2127 | 0.555861 | ||||||||
\(566\) | −1.18301 | − | 0.760275i | −0.0497257 | − | 0.0319568i | ||||
\(567\) | 32.6186 | − | 71.4247i | 1.36985 | − | 2.99955i | ||||
\(568\) | −1.84444 | + | 1.18535i | −0.0773909 | + | 0.0497361i | ||||
\(569\) | 24.3929 | + | 15.6763i | 1.02260 | + | 0.657187i | 0.940625 | − | 0.339448i | \(-0.110240\pi\) |
0.0819773 | + | 0.996634i | \(0.473876\pi\) | |||||||
\(570\) | −1.53067 | − | 3.35170i | −0.0641127 | − | 0.140387i | ||||
\(571\) | 6.18565 | − | 43.0221i | 0.258861 | − | 1.80042i | −0.282114 | − | 0.959381i | \(-0.591036\pi\) |
0.540975 | − | 0.841038i | \(-0.318055\pi\) | |||||||
\(572\) | 1.66680 | − | 1.15029i | 0.0696925 | − | 0.0480960i | ||||
\(573\) | −6.80736 | − | 47.3462i | −0.284382 | − | 1.97792i | ||||
\(574\) | 0.727683 | − | 0.467654i | 0.0303729 | − | 0.0195195i | ||||
\(575\) | 2.93158 | − | 1.88401i | 0.122255 | − | 0.0785686i | ||||
\(576\) | 8.58005 | − | 59.6756i | 0.357502 | − | 2.48648i | ||||
\(577\) | 30.6960 | − | 19.7271i | 1.27789 | − | 0.821250i | 0.287263 | − | 0.957852i | \(-0.407254\pi\) |
0.990626 | + | 0.136602i | \(0.0436181\pi\) | |||||||
\(578\) | −2.25016 | −0.0935942 | ||||||||
\(579\) | −12.0523 | − | 13.9091i | −0.500877 | − | 0.578043i | ||||
\(580\) | 1.26178 | + | 8.77591i | 0.0523928 | + | 0.364400i | ||||
\(581\) | 1.61083 | + | 1.85899i | 0.0668283 | + | 0.0771240i | ||||
\(582\) | −0.420402 | − | 0.920552i | −0.0174262 | − | 0.0381581i | ||||
\(583\) | 28.3998 | + | 7.33449i | 1.17620 | + | 0.303763i | ||||
\(584\) | 0.302474 | − | 0.662326i | 0.0125165 | − | 0.0274072i | ||||
\(585\) | −2.35090 | + | 0.690287i | −0.0971978 | + | 0.0285398i | ||||
\(586\) | −0.179142 | + | 1.24596i | −0.00740027 | + | 0.0514700i | ||||
\(587\) | 6.01656 | + | 1.76662i | 0.248330 | + | 0.0729163i | 0.403529 | − | 0.914967i | \(-0.367784\pi\) |
−0.155199 | + | 0.987883i | \(0.549602\pi\) | |||||||
\(588\) | 0.310160 | + | 2.15721i | 0.0127908 | + | 0.0889620i | ||||
\(589\) | 17.5628 | + | 38.4572i | 0.723664 | + | 1.58460i | ||||
\(590\) | −0.717790 | + | 0.828373i | −0.0295509 | + | 0.0341036i | ||||
\(591\) | −42.3848 | + | 48.9147i | −1.74348 | + | 2.01208i | ||||
\(592\) | −20.2680 | − | 13.0254i | −0.833009 | − | 0.535343i | ||||
\(593\) | 4.20407 | + | 2.70179i | 0.172640 | + | 0.110949i | 0.624107 | − | 0.781339i | \(-0.285463\pi\) |
−0.451467 | + | 0.892288i | \(0.649099\pi\) | |||||||
\(594\) | 0.792771 | − | 7.18210i | 0.0325278 | − | 0.294685i | ||||
\(595\) | −0.550659 | + | 0.353887i | −0.0225748 | + | 0.0145080i | ||||
\(596\) | 32.6645 | 1.33799 | ||||||||
\(597\) | 22.2617 | + | 25.6913i | 0.911109 | + | 1.05148i | ||||
\(598\) | −0.0592455 | + | 0.129729i | −0.00242273 | + | 0.00530503i | ||||
\(599\) | 35.8894 | + | 10.5381i | 1.46640 | + | 0.430575i | 0.914928 | − | 0.403617i | \(-0.132247\pi\) |
0.551475 | + | 0.834192i | \(0.314065\pi\) | |||||||
\(600\) | −1.14680 | + | 1.32348i | −0.0468181 | + | 0.0540310i | ||||
\(601\) | 17.7955 | + | 11.4365i | 0.725894 | + | 0.466504i | 0.850683 | − | 0.525680i | \(-0.176189\pi\) |
−0.124789 | + | 0.992183i | \(0.539825\pi\) | |||||||
\(602\) | 3.56639 | 0.145355 | ||||||||
\(603\) | 84.9591 | + | 24.9462i | 3.45980 | + | 1.01589i | ||||
\(604\) | 15.2214 | 0.619350 | ||||||||
\(605\) | −3.90252 | + | 10.2845i | −0.158660 | + | 0.418123i | ||||
\(606\) | −6.32839 | −0.257073 | ||||||||
\(607\) | −2.01692 | − | 0.592222i | −0.0818643 | − | 0.0240375i | 0.240544 | − | 0.970638i | \(-0.422674\pi\) |
−0.322408 | + | 0.946601i | \(0.604492\pi\) | |||||||
\(608\) | −13.2025 | −0.535434 | ||||||||
\(609\) | 32.1564 | + | 20.6657i | 1.30304 | + | 0.837414i | ||||
\(610\) | −0.628018 | + | 0.724772i | −0.0254277 | + | 0.0293451i | ||||
\(611\) | 1.83595 | + | 0.539083i | 0.0742745 | + | 0.0218090i | ||||
\(612\) | −1.66046 | + | 3.63590i | −0.0671201 | + | 0.146973i | ||||
\(613\) | −24.6906 | − | 28.4945i | −0.997246 | − | 1.15088i | −0.988546 | − | 0.150921i | \(-0.951776\pi\) |
−0.00869984 | − | 0.999962i | \(-0.502769\pi\) | |||||||
\(614\) | 0.112283 | 0.00453137 | ||||||||
\(615\) | 7.01995 | − | 4.51145i | 0.283072 | − | 0.181919i | ||||
\(616\) | −2.01685 | − | 4.05787i | −0.0812611 | − | 0.163496i | ||||
\(617\) | −20.9878 | − | 13.4880i | −0.844936 | − | 0.543007i | 0.0450557 | − | 0.998984i | \(-0.485653\pi\) |
−0.889991 | + | 0.455977i | \(0.849290\pi\) | |||||||
\(618\) | −3.31570 | − | 2.13087i | −0.133377 | − | 0.0857162i | ||||
\(619\) | 5.10801 | − | 5.89496i | 0.205308 | − | 0.236939i | −0.643752 | − | 0.765234i | \(-0.722623\pi\) |
0.849061 | + | 0.528296i | \(0.177169\pi\) | |||||||
\(620\) | 6.55003 | − | 7.55914i | 0.263056 | − | 0.303582i | ||||
\(621\) | −23.7374 | − | 51.9776i | −0.952548 | − | 2.08579i | ||||
\(622\) | −0.118181 | − | 0.821966i | −0.00473862 | − | 0.0329578i | ||||
\(623\) | −11.2528 | − | 3.30412i | −0.450834 | − | 0.132377i | ||||
\(624\) | −0.565031 | + | 3.92988i | −0.0226194 | + | 0.157321i | ||||
\(625\) | −0.959493 | + | 0.281733i | −0.0383797 | + | 0.0112693i | ||||
\(626\) | −0.777987 | + | 1.70355i | −0.0310946 | + | 0.0680877i | ||||
\(627\) | 91.9289 | − | 3.02217i | 3.67129 | − | 0.120694i | ||||
\(628\) | 15.7184 | + | 34.4185i | 0.627233 | + | 1.37345i | ||||
\(629\) | 1.02697 | + | 1.18518i | 0.0409479 | + | 0.0472564i | ||||
\(630\) | 0.388377 | + | 2.70122i | 0.0154733 | + | 0.107619i | ||||
\(631\) | 7.55279 | + | 8.71639i | 0.300672 | + | 0.346994i | 0.885901 | − | 0.463874i | \(-0.153541\pi\) |
−0.585229 | + | 0.810868i | \(0.698995\pi\) | |||||||
\(632\) | −3.58207 | −0.142487 | ||||||||
\(633\) | 12.7771 | − | 8.21133i | 0.507843 | − | 0.326371i | ||||
\(634\) | 0.149263 | − | 1.03815i | 0.00592800 | − | 0.0412302i | ||||
\(635\) | −15.8586 | + | 10.1917i | −0.629331 | + | 0.404446i | ||||
\(636\) | −48.8134 | + | 31.3704i | −1.93558 | + | 1.24392i | ||||
\(637\) | −0.0145614 | − | 0.101277i | −0.000576945 | − | 0.00401274i | ||||
\(638\) | 1.90827 | + | 0.492827i | 0.0755492 | + | 0.0195112i | ||||
\(639\) | −4.69075 | + | 32.6249i | −0.185563 | + | 1.29062i | ||||
\(640\) | 1.72744 | + | 3.78256i | 0.0682829 | + | 0.149519i | ||||
\(641\) | 24.0036 | + | 15.4262i | 0.948087 | + | 0.609298i | 0.920677 | − | 0.390326i | \(-0.127638\pi\) |
0.0274101 | + | 0.999624i | \(0.491274\pi\) | |||||||
\(642\) | 2.29983 | − | 1.47801i | 0.0907669 | − | 0.0583323i | ||||
\(643\) | 2.72286 | − | 5.96223i | 0.107379 | − | 0.235127i | −0.848313 | − | 0.529495i | \(-0.822382\pi\) |
0.955692 | + | 0.294367i | \(0.0951089\pi\) | |||||||
\(644\) | −15.0063 | − | 9.64395i | −0.591330 | − | 0.380025i | ||||
\(645\) | 34.4049 | 1.35469 | ||||||||
\(646\) | 0.270777 | + | 0.0795074i | 0.0106536 | + | 0.00312818i | ||||
\(647\) | 1.33269 | − | 1.53800i | 0.0523933 | − | 0.0604651i | −0.728948 | − | 0.684569i | \(-0.759990\pi\) |
0.781341 | + | 0.624104i | \(0.214536\pi\) | |||||||
\(648\) | 10.5363 | + | 12.1595i | 0.413904 | + | 0.477671i | ||||
\(649\) | −12.1779 | − | 24.5018i | −0.478025 | − | 0.961778i | ||||
\(650\) | 0.0268008 | − | 0.0309298i | 0.00105121 | − | 0.00121316i | ||||
\(651\) | −6.13691 | − | 42.6831i | −0.240524 | − | 1.67288i | ||||
\(652\) | 10.4622 | − | 3.07197i | 0.409730 | − | 0.120308i | ||||
\(653\) | 11.8054 | + | 25.8503i | 0.461982 | + | 1.01160i | 0.987031 | + | 0.160527i | \(0.0513194\pi\) |
−0.525050 | + | 0.851071i | \(0.675953\pi\) | |||||||
\(654\) | 3.56922 | + | 4.11910i | 0.139568 | + | 0.161070i | ||||
\(655\) | 2.45437 | − | 17.0705i | 0.0959003 | − | 0.667001i | ||||
\(656\) | −1.39735 | − | 9.71877i | −0.0545573 | − | 0.379454i | ||||
\(657\) | −4.54719 | − | 9.95695i | −0.177403 | − | 0.388458i | ||||
\(658\) | 0.885344 | − | 1.93863i | 0.0345143 | − | 0.0755758i | ||||
\(659\) | 18.1018 | + | 5.31517i | 0.705146 | + | 0.207049i | 0.614595 | − | 0.788842i | \(-0.289319\pi\) |
0.0905502 | + | 0.995892i | \(0.471137\pi\) | |||||||
\(660\) | −9.68513 | − | 19.4863i | −0.376993 | − | 0.758504i | ||||
\(661\) | −26.8864 | + | 7.89456i | −1.04576 | + | 0.307063i | −0.759103 | − | 0.650971i | \(-0.774362\pi\) |
−0.286657 | + | 0.958033i | \(0.592544\pi\) | |||||||
\(662\) | 0.532403 | − | 3.70294i | 0.0206924 | − | 0.143919i | ||||
\(663\) | 0.107357 | − | 0.235078i | 0.00416938 | − | 0.00912968i | ||||
\(664\) | −0.483612 | + | 0.142001i | −0.0187678 | + | 0.00551072i | ||||
\(665\) | −20.7602 | + | 6.09575i | −0.805046 | + | 0.236383i | ||||
\(666\) | 6.27332 | − | 1.84201i | 0.243086 | − | 0.0713765i | ||||
\(667\) | 14.9545 | − | 4.39103i | 0.579040 | − | 0.170022i | ||||
\(668\) | −2.98665 | + | 6.53985i | −0.115557 | + | 0.253034i | ||||
\(669\) | 9.24208 | − | 64.2801i | 0.357320 | − | 2.48521i | ||||
\(670\) | −1.41911 | + | 0.416688i | −0.0548250 | + | 0.0160981i | ||||
\(671\) | −10.6549 | − | 21.4374i | −0.411326 | − | 0.827582i | ||||
\(672\) | 12.9207 | + | 3.79387i | 0.498428 | + | 0.146352i | ||||
\(673\) | 8.38669 | − | 18.3643i | 0.323283 | − | 0.707891i | −0.676304 | − | 0.736623i | \(-0.736419\pi\) |
0.999587 | + | 0.0287314i | \(0.00914675\pi\) | |||||||
\(674\) | 0.588026 | + | 1.28760i | 0.0226499 | + | 0.0495964i | ||||
\(675\) | 2.33360 | + | 16.2305i | 0.0898203 | + | 0.624714i | ||||
\(676\) | −3.64076 | + | 25.3220i | −0.140029 | + | 0.973924i | ||||
\(677\) | −28.1260 | − | 32.4592i | −1.08097 | − | 1.24751i | −0.967204 | − | 0.253999i | \(-0.918254\pi\) |
−0.113767 | − | 0.993508i | \(-0.536292\pi\) | |||||||
\(678\) | 2.41365 | + | 5.28516i | 0.0926957 | + | 0.202975i | ||||
\(679\) | −5.70184 | + | 1.67421i | −0.218817 | + | 0.0642503i | ||||
\(680\) | −0.0190881 | − | 0.132760i | −0.000731994 | − | 0.00509113i | ||||
\(681\) | −53.5511 | + | 61.8013i | −2.05208 | + | 2.36823i | ||||
\(682\) | −0.989593 | − | 1.99105i | −0.0378935 | − | 0.0762411i | ||||
\(683\) | −13.8793 | − | 16.0175i | −0.531076 | − | 0.612894i | 0.425293 | − | 0.905056i | \(-0.360171\pi\) |
−0.956369 | + | 0.292161i | \(0.905626\pi\) | |||||||
\(684\) | −86.5225 | + | 99.8523i | −3.30827 | + | 3.81795i | ||||
\(685\) | 0.722657 | + | 0.212191i | 0.0276113 | + | 0.00810741i | ||||
\(686\) | −2.51555 | −0.0960443 | ||||||||
\(687\) | −15.1164 | − | 9.71470i | −0.576725 | − | 0.370639i | ||||
\(688\) | 16.8170 | − | 36.8242i | 0.641144 | − | 1.40391i | ||||
\(689\) | 2.29169 | − | 1.47278i | 0.0873065 | − | 0.0561085i | ||||
\(690\) | 1.28915 | + | 0.828485i | 0.0490770 | + | 0.0315399i | ||||
\(691\) | 5.77900 | + | 12.6542i | 0.219843 | + | 0.481390i | 0.987131 | − | 0.159913i | \(-0.0511214\pi\) |
−0.767288 | + | 0.641303i | \(0.778394\pi\) | |||||||
\(692\) | 2.21510 | − | 15.4063i | 0.0842054 | − | 0.585661i | ||||
\(693\) | −65.9585 | − | 17.0343i | −2.50556 | − | 0.647081i | ||||
\(694\) | −0.404462 | − | 2.81309i | −0.0153531 | − | 0.106783i | ||||
\(695\) | −18.7763 | + | 12.0668i | −0.712225 | + | 0.457719i | ||||
\(696\) | −6.58905 | + | 4.23453i | −0.249757 | + | 0.160509i | ||||
\(697\) | −0.0909555 | + | 0.632609i | −0.00344518 | + | 0.0239618i | ||||
\(698\) | 4.00128 | − | 2.57147i | 0.151451 | − | 0.0973315i | ||||
\(699\) | −80.5618 | −3.04713 | ||||||||
\(700\) | 3.35213 | + | 3.86856i | 0.126699 | + | 0.146218i | ||||
\(701\) | −2.51527 | − | 17.4941i | −0.0950006 | − | 0.660744i | −0.980560 | − | 0.196218i | \(-0.937134\pi\) |
0.885560 | − | 0.464526i | \(-0.153775\pi\) | |||||||
\(702\) | −0.439464 | − | 0.507169i | −0.0165865 | − | 0.0191419i | ||||
\(703\) | 21.5340 | + | 47.1528i | 0.812169 | + | 1.77840i | ||||
\(704\) | −25.1246 | + | 0.825973i | −0.946918 | + | 0.0311300i | ||||
\(705\) | 8.54090 | − | 18.7020i | 0.321669 | − | 0.704357i | ||||
\(706\) | 2.52520 | − | 0.741467i | 0.0950373 | − | 0.0279055i | ||||
\(707\) | −5.28852 | + | 36.7825i | −0.198895 | + | 1.38335i | ||||
\(708\) | 51.9342 | + | 15.2493i | 1.95181 | + | 0.573102i | ||||
\(709\) | −4.13991 | − | 28.7937i | −0.155477 | − | 1.08137i | −0.906839 | − | 0.421478i | \(-0.861511\pi\) |
0.751361 | − | 0.659891i | \(-0.229398\pi\) | |||||||
\(710\) | −0.228708 | − | 0.500800i | −0.00858324 | − | 0.0187947i | ||||
\(711\) | −35.2645 | + | 40.6974i | −1.32252 | + | 1.52627i | ||||
\(712\) | 1.57371 | − | 1.81615i | 0.0589771 | − | 0.0680632i | ||||
\(713\) | −14.7916 | − | 9.50600i | −0.553951 | − | 0.356002i | ||||
\(714\) | −0.242150 | − | 0.155620i | −0.00906223 | − | 0.00582394i | ||||
\(715\) | 0.454698 | + | 0.914845i | 0.0170047 | + | 0.0342133i | ||||
\(716\) | −20.7918 | + | 13.3621i | −0.777026 | + | 0.499364i | ||||
\(717\) | −3.13097 | −0.116928 | ||||||||
\(718\) | −0.900357 | − | 1.03907i | −0.0336010 | − | 0.0387777i | ||||
\(719\) | 1.39063 | − | 3.04506i | 0.0518619 | − | 0.113562i | −0.881927 | − | 0.471386i | \(-0.843754\pi\) |
0.933789 | + | 0.357824i | \(0.116481\pi\) | |||||||
\(720\) | 29.7224 | + | 8.72730i | 1.10769 | + | 0.325247i | ||||
\(721\) | −15.1561 | + | 17.4911i | −0.564444 | + | 0.651403i | ||||
\(722\) | 5.72381 | + | 3.67847i | 0.213018 | + | 0.136899i | ||||
\(723\) | −25.9392 | −0.964689 | ||||||||
\(724\) | 9.92749 | + | 2.91497i | 0.368952 | + | 0.108334i | ||||
\(725\) | −4.47255 | −0.166106 | ||||||||
\(726\) | −4.82676 | + | 0.317703i | −0.179138 | + | 0.0117911i | ||||
\(727\) | −0.0755852 | −0.00280330 | −0.00140165 | − | 0.999999i | \(-0.500446\pi\) | ||||
−0.00140165 | + | 0.999999i | \(0.500446\pi\) | |||||||
\(728\) | −0.403805 | − | 0.118568i | −0.0149660 | − | 0.00439442i | ||||
\(729\) | 79.0629 | 2.92825 | ||||||||
\(730\) | 0.153813 | + | 0.0988497i | 0.00569288 | + | 0.00365859i | ||||
\(731\) | −1.72560 | + | 1.99145i | −0.0638237 | + | 0.0736564i | ||||
\(732\) | 45.4390 | + | 13.3421i | 1.67947 | + | 0.493138i | ||||
\(733\) | 17.8421 | − | 39.0688i | 0.659015 | − | 1.44304i | −0.224423 | − | 0.974492i | \(-0.572050\pi\) |
0.883438 | − | 0.468549i | \(-0.155223\pi\) | |||||||
\(734\) | 3.14055 | + | 3.62438i | 0.115920 | + | 0.133778i | ||||
\(735\) | −1.09940 | −0.0405520 | ||||||||
\(736\) | 4.61914 | − | 2.96854i | 0.170264 | − | 0.109422i | ||||
\(737\) | 4.05068 | − | 36.6971i | 0.149209 | − | 1.35176i | ||||
\(738\) | 2.24157 | + | 1.44057i | 0.0825135 | + | 0.0530282i | ||||
\(739\) | −12.3520 | − | 7.93812i | −0.454374 | − | 0.292009i | 0.293366 | − | 0.956000i | \(-0.405225\pi\) |
−0.747740 | + | 0.663992i | \(0.768861\pi\) | |||||||
\(740\) | 8.03106 | − | 9.26833i | 0.295227 | − | 0.340711i | ||||
\(741\) | 5.59409 | − | 6.45592i | 0.205504 | − | 0.237164i | ||||
\(742\) | −1.26044 | − | 2.75998i | −0.0462723 | − | 0.101322i | ||||
\(743\) | −0.826241 | − | 5.74663i | −0.0303118 | − | 0.210823i | 0.969037 | − | 0.246917i | \(-0.0794176\pi\) |
−0.999348 | + | 0.0360938i | \(0.988508\pi\) | |||||||
\(744\) | 8.47807 | + | 2.48939i | 0.310821 | + | 0.0912653i | ||||
\(745\) | −2.34502 | + | 16.3100i | −0.0859149 | + | 0.597551i | ||||
\(746\) | −1.80608 | + | 0.530313i | −0.0661253 | + | 0.0194161i | ||||
\(747\) | −3.14769 | + | 6.89249i | −0.115168 | + | 0.252183i | ||||
\(748\) | 1.61369 | + | 0.416748i | 0.0590022 | + | 0.0152378i | ||||
\(749\) | −6.66870 | − | 14.6024i | −0.243669 | − | 0.533561i | ||||
\(750\) | −0.287972 | − | 0.332337i | −0.0105153 | − | 0.0121352i | ||||
\(751\) | 0.729842 | + | 5.07617i | 0.0266323 | + | 0.185232i | 0.998795 | − | 0.0490745i | \(-0.0156272\pi\) |
−0.972163 | + | 0.234306i | \(0.924718\pi\) | |||||||
\(752\) | −15.8423 | − | 18.2830i | −0.577709 | − | 0.666711i | ||||
\(753\) | −69.5059 | −2.53294 | ||||||||
\(754\) | 0.153986 | − | 0.0989607i | 0.00560784 | − | 0.00360394i | ||||
\(755\) | −1.09276 | + | 7.60032i | −0.0397696 | + | 0.276604i | ||||
\(756\) | 70.6114 | − | 45.3792i | 2.56811 | − | 1.65043i | ||||
\(757\) | 41.8803 | − | 26.9148i | 1.52216 | − | 0.978235i | 0.530742 | − | 0.847533i | \(-0.321913\pi\) |
0.991422 | − | 0.130702i | \(-0.0417230\pi\) | |||||||
\(758\) | 0.0941352 | + | 0.654724i | 0.00341914 | + | 0.0237807i | ||||
\(759\) | −31.4834 | + | 21.7272i | −1.14278 | + | 0.788648i | ||||
\(760\) | 0.630951 | − | 4.38836i | 0.0228870 | − | 0.159183i | ||||
\(761\) | 9.10905 | + | 19.9460i | 0.330203 | + | 0.723043i | 0.999806 | − | 0.0196753i | \(-0.00626326\pi\) |
−0.669604 | + | 0.742719i | \(0.733536\pi\) | |||||||
\(762\) | −6.97376 | − | 4.48177i | −0.252633 | − | 0.162357i | ||||
\(763\) | 26.9242 | − | 17.3031i | 0.974720 | − | 0.626415i | ||||
\(764\) | 11.9014 | − | 26.0604i | 0.430577 | − | 0.942833i | ||||
\(765\) | −1.69626 | − | 1.09012i | −0.0613286 | − | 0.0394135i | ||||
\(766\) | −0.559045 | −0.0201991 | ||||||||
\(767\) | −2.43821 | − | 0.715923i | −0.0880386 | − | 0.0258505i | ||||
\(768\) | 31.6581 | − | 36.5353i | 1.14236 | − | 1.31836i | ||||
\(769\) | −7.82302 | − | 9.02824i | −0.282105 | − | 0.325567i | 0.596958 | − | 0.802273i | \(-0.296376\pi\) |
−0.879063 | + | 0.476706i | \(0.841831\pi\) | |||||||
\(770\) | 1.08067 | − | 0.356279i | 0.0389445 | − | 0.0128394i | ||||
\(771\) | −51.3621 | + | 59.2750i | −1.84976 | + | 2.13474i | ||||
\(772\) | −1.56877 | − | 10.9110i | −0.0564612 | − | 0.392696i | ||||
\(773\) | −0.383108 | + | 0.112491i | −0.0137795 | + | 0.00404601i | −0.288615 | − | 0.957445i | \(-0.593195\pi\) |
0.274836 | + | 0.961491i | \(0.411377\pi\) | |||||||
\(774\) | 4.56374 | + | 9.99320i | 0.164040 | + | 0.359198i | ||||
\(775\) | 3.30418 | + | 3.81323i | 0.118690 | + | 0.136975i | ||||
\(776\) | 0.173292 | − | 1.20527i | 0.00622083 | − | 0.0432668i | ||||
\(777\) | −7.52452 | − | 52.3342i | −0.269941 | − | 1.87748i | ||||
\(778\) | −0.531890 | − | 1.16468i | −0.0190692 | − | 0.0417557i | ||||
\(779\) | −8.77596 | + | 19.2167i | −0.314431 | + | 0.688509i | ||||
\(780\) | −1.93912 | − | 0.569376i | −0.0694315 | − | 0.0203869i | ||||
\(781\) | 13.7357 | − | 0.451563i | 0.491503 | − | 0.0161582i | ||||
\(782\) | −0.112613 | + | 0.0330662i | −0.00402704 | + | 0.00118244i | ||||
\(783\) | −10.4371 | + | 72.5920i | −0.372993 | + | 2.59423i | ||||
\(784\) | −0.537385 | + | 1.17671i | −0.0191923 | + | 0.0420254i | ||||
\(785\) | −18.3142 | + | 5.37754i | −0.653663 | + | 0.191933i | ||||
\(786\) | 7.27668 | − | 2.13663i | 0.259551 | − | 0.0762110i | ||||
\(787\) | −21.2143 | + | 6.22907i | −0.756207 | + | 0.222042i | −0.637039 | − | 0.770832i | \(-0.719841\pi\) |
−0.119168 | + | 0.992874i | \(0.538023\pi\) | |||||||
\(788\) | −37.1955 | + | 10.9216i | −1.32503 | + | 0.389065i | ||||
\(789\) | −19.1886 | + | 42.0173i | −0.683134 | + | 1.49585i | ||||
\(790\) | 0.128010 | − | 0.890332i | 0.00455441 | − | 0.0316766i | ||||
\(791\) | 32.7359 | − | 9.61214i | 1.16396 | − | 0.341768i | ||||
\(792\) | 8.78949 | − | 10.8440i | 0.312321 | − | 0.385324i | ||||
\(793\) | −2.13327 | − | 0.626385i | −0.0757547 | − | 0.0222436i | ||||
\(794\) | −1.91722 | + | 4.19813i | −0.0680396 | + | 0.148986i | ||||
\(795\) | −12.1595 | − | 26.6255i | −0.431252 | − | 0.944309i | ||||
\(796\) | 2.89765 | + | 20.1536i | 0.102704 | + | 0.714325i | ||||
\(797\) | −0.372230 | + | 2.58892i | −0.0131851 | + | 0.0917041i | −0.995351 | − | 0.0963100i | \(-0.969296\pi\) |
0.982166 | + | 0.188014i | \(0.0602051\pi\) | |||||||
\(798\) | −6.23075 | − | 7.19067i | −0.220566 | − | 0.254547i | ||||
\(799\) | 0.654147 | + | 1.43238i | 0.0231420 | + | 0.0506740i | ||||
\(800\) | −1.51183 | + | 0.443912i | −0.0534511 | + | 0.0156947i | ||||
\(801\) | −5.14138 | − | 35.7591i | −0.181662 | − | 1.26349i | ||||
\(802\) | 0.00507525 | − | 0.00585715i | 0.000179213 | − | 0.000206823i | ||||
\(803\) | −3.75641 | + | 2.59236i | −0.132561 | + | 0.0914824i | ||||
\(804\) | 47.8285 | + | 55.1970i | 1.68678 | + | 1.94665i | ||||
\(805\) | 5.89272 | − | 6.80056i | 0.207691 | − | 0.239688i | ||||
\(806\) | −0.198132 | − | 0.0581769i | −0.00697891 | − | 0.00204919i | ||||
\(807\) | −61.9580 | −2.18103 | ||||||||
\(808\) | −6.40570 | − | 4.11669i | −0.225352 | − | 0.144825i | ||||
\(809\) | 3.22332 | − | 7.05808i | 0.113326 | − | 0.248149i | −0.844467 | − | 0.535607i | \(-0.820083\pi\) |
0.957793 | + | 0.287458i | \(0.0928102\pi\) | |||||||
\(810\) | −3.39880 | + | 2.18428i | −0.119422 | + | 0.0767477i | ||||
\(811\) | 16.3206 | + | 10.4886i | 0.573093 | + | 0.368304i | 0.794858 | − | 0.606796i | \(-0.207545\pi\) |
−0.221765 | + | 0.975100i | \(0.571182\pi\) | |||||||
\(812\) | 9.51064 | + | 20.8254i | 0.333758 | + | 0.730828i | ||||
\(813\) | 2.98675 | − | 20.7733i | 0.104750 | − | 0.728551i | ||||
\(814\) | −1.21335 | − | 2.44124i | −0.0425279 | − | 0.0855654i | ||||
\(815\) | 0.782799 | + | 5.44449i | 0.0274203 | + | 0.190712i | ||||
\(816\) | −2.74867 | + | 1.76647i | −0.0962229 | + | 0.0618387i | ||||
\(817\) | −73.2744 | + | 47.0906i | −2.56355 | + | 1.64749i | ||||
\(818\) | −0.297230 | + | 2.06728i | −0.0103924 | + | 0.0722807i | ||||
\(819\) | −5.32245 | + | 3.42053i | −0.185981 | + | 0.119523i | ||||
\(820\) | 4.99798 | 0.174537 | ||||||||
\(821\) | −24.9144 | − | 28.7528i | −0.869519 | − | 1.00348i | −0.999928 | − | 0.0120184i | \(-0.996174\pi\) |
0.130408 | − | 0.991460i | \(-0.458371\pi\) | |||||||
\(822\) | 0.0471349 | + | 0.327830i | 0.00164402 | + | 0.0114344i | ||||
\(823\) | −1.50226 | − | 1.73370i | −0.0523656 | − | 0.0604331i | 0.728962 | − | 0.684554i | \(-0.240003\pi\) |
−0.781328 | + | 0.624121i | \(0.785457\pi\) | |||||||
\(824\) | −1.97005 | − | 4.31381i | −0.0686299 | − | 0.150279i | ||||
\(825\) | 10.4252 | − | 3.43702i | 0.362958 | − | 0.119662i | ||||
\(826\) | −1.17577 | + | 2.57458i | −0.0409103 | + | 0.0895810i | ||||
\(827\) | 16.4678 | − | 4.83539i | 0.572642 | − | 0.168143i | 0.0174247 | − | 0.999848i | \(-0.494453\pi\) |
0.555217 | + | 0.831705i | \(0.312635\pi\) | |||||||
\(828\) | 7.82000 | − | 54.3893i | 0.271764 | − | 1.89016i | ||||
\(829\) | −38.1240 | − | 11.1942i | −1.32410 | − | 0.388791i | −0.458130 | − | 0.888885i | \(-0.651481\pi\) |
−0.865971 | + | 0.500094i | \(0.833299\pi\) | |||||||
\(830\) | −0.0180122 | − | 0.125277i | −0.000625212 | − | 0.00434845i | ||||
\(831\) | 4.87554 | + | 10.6759i | 0.169131 | + | 0.370345i | ||||
\(832\) | −1.52889 | + | 1.76443i | −0.0530047 | + | 0.0611707i | ||||
\(833\) | 0.0551413 | − | 0.0636364i | 0.00191053 | − | 0.00220487i | ||||
\(834\) | −8.25679 | − | 5.30631i | −0.285909 | − | 0.183743i | ||||
\(835\) | −3.05105 | − | 1.96079i | −0.105586 | − | 0.0678560i | ||||
\(836\) | 47.2984 | + | 28.2451i | 1.63585 | + | 0.976878i | ||||
\(837\) | 69.6014 | − | 44.7301i | 2.40577 | − | 1.54610i | ||||
\(838\) | 3.76013 | 0.129892 | ||||||||
\(839\) | −6.95720 | − | 8.02903i | −0.240189 | − | 0.277193i | 0.622838 | − | 0.782351i | \(-0.285980\pi\) |
−0.863027 | + | 0.505158i | \(0.831434\pi\) | |||||||
\(840\) | −1.87852 | + | 4.11338i | −0.0648150 | + | 0.141925i | ||||
\(841\) | 8.63186 | + | 2.53454i | 0.297650 | + | 0.0873980i | ||||
\(842\) | 0.117080 | − | 0.135117i | 0.00403483 | − | 0.00465644i | ||||
\(843\) | 60.8455 | + | 39.1031i | 2.09563 | + | 1.34678i | ||||
\(844\) | 9.09687 | 0.313127 | ||||||||
\(845\) | −12.3824 | − | 3.63579i | −0.425967 | − | 0.125075i | ||||
\(846\) | 6.56509 | 0.225712 | ||||||||
\(847\) | −2.18705 | + | 28.3200i | −0.0751478 | + | 0.973088i | ||||
\(848\) | −34.4413 | −1.18272 | ||||||||
\(849\) | −33.6115 | − | 9.86922i | −1.15354 | − | 0.338711i | ||||
\(850\) | 0.0336800 | 0.00115522 | ||||||||
\(851\) | −18.1362 | − | 11.6554i | −0.621699 | − | 0.399542i | ||||
\(852\) | −17.8037 | + | 20.5466i | −0.609945 | + | 0.703915i | ||||
\(853\) | −40.0099 | − | 11.7480i | −1.36991 | − | 0.402243i | −0.487666 | − | 0.873030i | \(-0.662152\pi\) |
−0.882247 | + | 0.470787i | \(0.843970\pi\) | |||||||
\(854\) | −1.02872 | + | 2.25258i | −0.0352021 | + | 0.0770819i | ||||
\(855\) | −43.6465 | − | 50.3707i | −1.49268 | − | 1.72264i | ||||
\(856\) | 3.28938 | 0.112429 | ||||||||
\(857\) | −12.2069 | + | 7.84488i | −0.416979 | + | 0.267976i | −0.732264 | − | 0.681021i | \(-0.761536\pi\) |
0.315285 | + | 0.948997i | \(0.397900\pi\) | |||||||
\(858\) | −0.282881 | + | 0.349003i | −0.00965741 | + | 0.0119148i | ||||
\(859\) | −38.4488 | − | 24.7095i | −1.31185 | − | 0.843078i | −0.317405 | − | 0.948290i | \(-0.602811\pi\) |
−0.994450 | + | 0.105212i | \(0.966448\pi\) | |||||||
\(860\) | 17.3354 | + | 11.1408i | 0.591133 | + | 0.379898i | ||||
\(861\) | 14.1107 | − | 16.2846i | 0.480891 | − | 0.554978i | ||||
\(862\) | −1.20965 | + | 1.39601i | −0.0412008 | + | 0.0475482i | ||||
\(863\) | 16.0892 | + | 35.2304i | 0.547682 | + | 1.19926i | 0.957856 | + | 0.287249i | \(0.0927408\pi\) |
−0.410174 | + | 0.912007i | \(0.634532\pi\) | |||||||
\(864\) | 3.67694 | + | 25.5737i | 0.125092 | + | 0.870034i | ||||
\(865\) | 7.53364 | + | 2.21208i | 0.256151 | + | 0.0752128i | ||||
\(866\) | −0.0775278 | + | 0.539218i | −0.00263450 | + | 0.0183234i | ||||
\(867\) | −53.7822 | + | 15.7919i | −1.82654 | + | 0.536320i | ||||
\(868\) | 10.7292 | − | 23.4937i | 0.364174 | − | 0.797430i | ||||
\(869\) | 19.2777 | + | 11.5120i | 0.653951 | + | 0.390519i | ||||
\(870\) | −0.817032 | − | 1.78905i | −0.0277000 | − | 0.0606545i | ||||
\(871\) | −2.24545 | − | 2.59139i | −0.0760843 | − | 0.0878059i | ||||
\(872\) | 0.933300 | + | 6.49124i | 0.0316055 | + | 0.219821i | ||||
\(873\) | −11.9876 | − | 13.8344i | −0.405719 | − | 0.468225i | ||||
\(874\) | −3.87955 | −0.131228 | ||||||||
\(875\) | −2.17230 | + | 1.39605i | −0.0734370 | + | 0.0471951i | ||||
\(876\) | 1.28493 | − | 8.93690i | 0.0434139 | − | 0.301950i | ||||
\(877\) | 16.6727 | − | 10.7149i | 0.562998 | − | 0.361817i | −0.227976 | − | 0.973667i | \(-0.573211\pi\) |
0.790974 | + | 0.611850i | \(0.209574\pi\) | |||||||
\(878\) | 0.127093 | − | 0.0816777i | 0.00428918 | − | 0.00275649i | ||||
\(879\) | 4.46252 | + | 31.0375i | 0.150517 | + | 1.04687i | ||||
\(880\) | 1.41711 | − | 12.8383i | 0.0477707 | − | 0.432778i | ||||
\(881\) | 6.34615 | − | 44.1385i | 0.213807 | − | 1.48706i | −0.546478 | − | 0.837473i | \(-0.684032\pi\) |
0.760286 | − | 0.649589i | \(-0.225059\pi\) | |||||||
\(882\) | −0.145834 | − | 0.319331i | −0.00491047 | − | 0.0107524i | ||||
\(883\) | 4.68702 | + | 3.01217i | 0.157731 | + | 0.101367i | 0.617125 | − | 0.786865i | \(-0.288297\pi\) |
−0.459394 | + | 0.888232i | \(0.651934\pi\) | |||||||
\(884\) | 0.130215 | − | 0.0836840i | 0.00437960 | − | 0.00281460i | ||||
\(885\) | −11.3426 | + | 24.8369i | −0.381279 | + | 0.834884i | ||||
\(886\) | 2.63903 | + | 1.69600i | 0.0886598 | + | 0.0569782i | ||||
\(887\) | −43.6113 | −1.46432 | −0.732162 | − | 0.681130i | \(-0.761489\pi\) | ||||
−0.732162 | + | 0.681130i | \(0.761489\pi\) | |||||||
\(888\) | 10.3950 | + | 3.05226i | 0.348835 | + | 0.102427i | ||||
\(889\) | −31.8772 | + | 36.7882i | −1.06913 | + | 1.23384i | ||||
\(890\) | 0.395170 | + | 0.456051i | 0.0132461 | + | 0.0152869i | ||||
\(891\) | −17.6251 | − | 99.3005i | −0.590462 | − | 3.32669i | ||||
\(892\) | 25.4716 | − | 29.3958i | 0.852851 | − | 0.984243i | ||||
\(893\) | 7.40759 | + | 51.5209i | 0.247886 | + | 1.72408i | ||||
\(894\) | −6.95248 | + | 2.04143i | −0.232526 | + | 0.0682757i | ||||
\(895\) | −5.17926 | − | 11.3410i | −0.173124 | − | 0.379088i | ||||
\(896\) | 7.03171 | + | 8.11503i | 0.234913 | + | 0.271104i | ||||
\(897\) | −0.505600 | + | 3.51652i | −0.0168815 | + | 0.117413i | ||||
\(898\) | 0.175932 | + | 1.22363i | 0.00587092 | + | 0.0408331i | ||||
\(899\) | 9.37459 | + | 20.5275i | 0.312660 | + | 0.684630i | ||||
\(900\) | −6.55035 | + | 14.3433i | −0.218345 | + | 0.478109i | ||||
\(901\) | 2.15102 | + | 0.631598i | 0.0716610 | + | 0.0210416i | ||||
\(902\) | 0.428077 | − | 1.02523i | 0.0142534 | − | 0.0341365i | ||||
\(903\) | 85.2421 | − | 25.0293i | 2.83668 | − | 0.832924i | ||||
\(904\) | −0.994921 | + | 6.91983i | −0.0330906 | + | 0.230150i | ||||
\(905\) | −2.16820 | + | 4.74770i | −0.0720735 | + | 0.157819i | ||||
\(906\) | −3.23980 | + | 0.951291i | −0.107635 | + | 0.0316045i | ||||
\(907\) | 35.4829 | − | 10.4187i | 1.17819 | − | 0.345948i | 0.366714 | − | 0.930334i | \(-0.380483\pi\) |
0.811476 | + | 0.584386i | \(0.198665\pi\) | |||||||
\(908\) | −46.9946 | + | 13.7989i | −1.55957 | + | 0.457932i | ||||
\(909\) | −109.834 | + | 32.2502i | −3.64296 | + | 1.06967i | ||||
\(910\) | 0.0439009 | − | 0.0961295i | 0.00145530 | − | 0.00318666i | ||||
\(911\) | 0.603081 | − | 4.19452i | 0.0199810 | − | 0.138971i | −0.977389 | − | 0.211449i | \(-0.932182\pi\) |
0.997370 | + | 0.0724784i | \(0.0230908\pi\) | |||||||
\(912\) | −103.627 | + | 30.4276i | −3.43143 | + | 1.00756i | ||||
\(913\) | 3.05903 | + | 0.790019i | 0.101239 | + | 0.0261458i | ||||
\(914\) | −2.89237 | − | 0.849277i | −0.0956711 | − | 0.0280916i | ||||
\(915\) | −9.92406 | + | 21.7307i | −0.328079 | + | 0.718393i | ||||
\(916\) | −4.47085 | − | 9.78979i | −0.147721 | − | 0.323464i | ||||
\(917\) | −6.33771 | − | 44.0798i | −0.209290 | − | 1.45564i | ||||
\(918\) | 0.0785958 | − | 0.546646i | 0.00259405 | − | 0.0180420i | ||||
\(919\) | 30.9459 | + | 35.7135i | 1.02081 | + | 1.17808i | 0.983893 | + | 0.178761i | \(0.0572089\pi\) |
0.0369191 | + | 0.999318i | \(0.488246\pi\) | |||||||
\(920\) | 0.765957 | + | 1.67721i | 0.0252529 | + | 0.0552960i | ||||
\(921\) | 2.68373 | − | 0.788015i | 0.0884320 | − | 0.0259660i | ||||
\(922\) | 0.572955 | + | 3.98499i | 0.0188693 | + | 0.131239i | ||||
\(923\) | 0.835850 | − | 0.964622i | 0.0275123 | − | 0.0317509i | ||||
\(924\) | −38.1722 | − | 41.2338i | −1.25577 | − | 1.35649i | ||||
\(925\) | 4.05129 | + | 4.67543i | 0.133205 | + | 0.153727i | ||||
\(926\) | 1.25719 | − | 1.45087i | 0.0413137 | − | 0.0476785i | ||||
\(927\) | −68.4056 | − | 20.0857i | −2.24673 | − | 0.659701i | ||||
\(928\) | −7.04718 | −0.231335 | ||||||||
\(929\) | −13.8280 | − | 8.88671i | −0.453682 | − | 0.291564i | 0.293774 | − | 0.955875i | \(-0.405089\pi\) |
−0.747456 | + | 0.664311i | \(0.768725\pi\) | |||||||
\(930\) | −0.921718 | + | 2.01828i | −0.0302243 | + | 0.0661821i | ||||
\(931\) | 2.34147 | − | 1.50477i | 0.0767386 | − | 0.0493169i | ||||
\(932\) | −40.5923 | − | 26.0871i | −1.32964 | − | 0.854510i | ||||
\(933\) | −8.59336 | − | 18.8168i | −0.281334 | − | 0.616035i | ||||
\(934\) | −0.204436 | + | 1.42189i | −0.00668936 | + | 0.0465255i | ||||
\(935\) | −0.323938 | + | 0.775824i | −0.0105939 | + | 0.0253722i | ||||
\(936\) | −0.184498 | − | 1.28321i | −0.00603049 | − | 0.0419430i | ||||
\(937\) | 18.7824 | − | 12.0707i | 0.613596 | − | 0.394334i | −0.196608 | − | 0.980482i | \(-0.562993\pi\) |
0.810204 | + | 0.586148i | \(0.199356\pi\) | |||||||
\(938\) | −3.21287 | + | 2.06479i | −0.104904 | + | 0.0674177i | ||||
\(939\) | −6.63933 | + | 46.1775i | −0.216666 | + | 1.50695i | ||||
\(940\) | 10.3594 | − | 6.65760i | 0.337887 | − | 0.217147i | ||||
\(941\) | −34.4518 | −1.12310 | −0.561549 | − | 0.827444i | \(-0.689794\pi\) | ||||
−0.561549 | + | 0.827444i | \(0.689794\pi\) | |||||||
\(942\) | −5.49664 | − | 6.34346i | −0.179090 | − | 0.206681i | ||||
\(943\) | −1.25037 | − | 8.69653i | −0.0407177 | − | 0.283198i | ||||
\(944\) | 21.0392 | + | 24.2805i | 0.684766 | + | 0.790262i | ||||
\(945\) | 17.5894 | + | 38.5154i | 0.572183 | + | 1.25291i | ||||
\(946\) | 3.77008 | − | 2.60180i | 0.122576 | − | 0.0845917i | ||||
\(947\) | −2.39897 | + | 5.25301i | −0.0779561 | + | 0.170700i | −0.944597 | − | 0.328232i | \(-0.893547\pi\) |
0.866641 | + | 0.498932i | \(0.166274\pi\) | |||||||
\(948\) | −42.6187 | + | 12.5140i | −1.38419 | + | 0.406435i | ||||
\(949\) | −0.0603251 | + | 0.419570i | −0.00195824 | + | 0.0136198i | ||||
\(950\) | 1.06819 | + | 0.313649i | 0.0346566 | + | 0.0101761i | ||||
\(951\) | −3.71824 | − | 25.8609i | −0.120572 | − | 0.838597i | ||||
\(952\) | −0.143875 | − | 0.315043i | −0.00466302 | − | 0.0102106i | ||||
\(953\) | −37.6050 | + | 43.3985i | −1.21815 | + | 1.40582i | −0.331445 | + | 0.943475i | \(0.607536\pi\) |
−0.886702 | + | 0.462342i | \(0.847009\pi\) | |||||||
\(954\) | 6.12068 | − | 7.06365i | 0.198164 | − | 0.228694i | ||||
\(955\) | 12.1580 | + | 7.81349i | 0.393424 | + | 0.252839i | ||||
\(956\) | −1.57758 | − | 1.01385i | −0.0510227 | − | 0.0327903i | ||||
\(957\) | 49.0693 | − | 1.61316i | 1.58619 | − | 0.0521460i | ||||
\(958\) | −1.09994 | + | 0.706891i | −0.0355376 | + | 0.0228386i | ||||
\(959\) | 1.94484 | 0.0628020 | ||||||||
\(960\) | 16.4278 | + | 18.9587i | 0.530204 | + | 0.611888i | ||||
\(961\) | −2.30211 | + | 5.04092i | −0.0742616 | + | 0.162610i | ||||
\(962\) | −0.242932 | − | 0.0713312i | −0.00783244 | − | 0.00229981i | ||||
\(963\) | 32.3831 | − | 37.3721i | 1.04353 | − | 1.20430i | ||||
\(964\) | −13.0698 | − | 8.39948i | −0.420951 | − | 0.270529i | ||||
\(965\) | 5.56069 | 0.179005 | ||||||||
\(966\) | 3.79673 | + | 1.11482i | 0.122158 | + | 0.0358688i | ||||
\(967\) | 13.6274 | 0.438228 | 0.219114 | − | 0.975699i | \(-0.429683\pi\) | ||||
0.219114 | + | 0.975699i | \(0.429683\pi\) | |||||||
\(968\) | −5.09239 | − | 2.81828i | −0.163676 | − | 0.0905829i | ||||
\(969\) | 7.02998 | 0.225836 | ||||||||
\(970\) | 0.293381 | + | 0.0861444i | 0.00941989 | + | 0.00276593i | ||||
\(971\) | −32.4573 | −1.04160 | −0.520802 | − | 0.853677i | \(-0.674367\pi\) | ||||
−0.520802 | + | 0.853677i | \(0.674367\pi\) | |||||||
\(972\) | 85.8018 | + | 55.1415i | 2.75209 | + | 1.76866i | ||||
\(973\) | −37.7419 | + | 43.5565i | −1.20995 | + | 1.39636i | ||||
\(974\) | 1.20544 | + | 0.353949i | 0.0386248 | + | 0.0113413i | ||||
\(975\) | 0.423511 | − | 0.927360i | 0.0135632 | − | 0.0296993i | ||||
\(976\) | 18.4079 | + | 21.2438i | 0.589221 | + | 0.679998i | ||||
\(977\) | 0.237364 | 0.00759395 | 0.00379697 | − | 0.999993i | \(-0.498791\pi\) | ||||
0.00379697 | + | 0.999993i | \(0.498791\pi\) | |||||||
\(978\) | −2.03483 | + | 1.30771i | −0.0650668 | + | 0.0418159i | ||||
\(979\) | −14.3060 | + | 4.71645i | −0.457221 | + | 0.150739i | ||||
\(980\) | −0.553950 | − | 0.356002i | −0.0176953 | − | 0.0113721i | ||||
\(981\) | 82.9379 | + | 53.3009i | 2.64800 | + | 1.70177i | ||||
\(982\) | 3.34438 | − | 3.85962i | 0.106723 | − | 0.123165i | ||||
\(983\) | 37.4721 | − | 43.2451i | 1.19517 | − | 1.37930i | 0.288495 | − | 0.957482i | \(-0.406845\pi\) |
0.906679 | − | 0.421822i | \(-0.138609\pi\) | |||||||
\(984\) | 1.83416 | + | 4.01625i | 0.0584709 | + | 0.128033i | ||||
\(985\) | −2.78303 | − | 19.3564i | −0.0886749 | − | 0.616747i | ||||
\(986\) | 0.144534 | + | 0.0424390i | 0.00460290 | + | 0.00135153i | ||||
\(987\) | 7.55551 | − | 52.5498i | 0.240495 | − | 1.67268i | ||||
\(988\) | 4.90918 | − | 1.44147i | 0.156182 | − | 0.0458591i | ||||
\(989\) | 15.0482 | − | 32.9509i | 0.478504 | − | 1.04778i | ||||
\(990\) | 2.38119 | + | 2.57217i | 0.0756793 | + | 0.0817490i | ||||
\(991\) | −11.7743 | − | 25.7821i | −0.374022 | − | 0.818994i | −0.999256 | − | 0.0385571i | \(-0.987724\pi\) |
0.625234 | − | 0.780437i | \(-0.285003\pi\) | |||||||
\(992\) | 5.20623 | + | 6.00831i | 0.165298 | + | 0.190764i | ||||
\(993\) | −13.2625 | − | 92.2425i | −0.420872 | − | 2.92723i | ||||
\(994\) | −0.930978 | − | 1.07441i | −0.0295288 | − | 0.0340781i | ||||
\(995\) | −10.2711 | −0.325615 | ||||||||
\(996\) | −5.25783 | + | 3.37900i | −0.166601 | + | 0.107068i | ||||
\(997\) | 0.470486 | − | 3.27230i | 0.0149004 | − | 0.103635i | −0.981014 | − | 0.193937i | \(-0.937874\pi\) |
0.995914 | + | 0.0903023i | \(0.0287833\pi\) | |||||||
\(998\) | 0.354791 | − | 0.228011i | 0.0112307 | − | 0.00721755i | ||||
\(999\) | 85.3389 | − | 54.8440i | 2.70000 | − | 1.73519i |
(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 | 605.2.k.b.56.11 | ✓ | 220 | |
121.67 | even | 11 | inner | 605.2.k.b.551.11 | yes | 220 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
605.2.k.b.56.11 | ✓ | 220 | 1.1 | even | 1 | trivial | |
605.2.k.b.551.11 | yes | 220 | 121.67 | even | 11 | inner |