Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [252,2,Mod(31,252)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(252, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 2, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("252.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 252 = 2^{2} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 252.n (of order \(6\), degree \(2\), 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: | \(2.01223013094\) |
Analytic rank: | \(0\) |
Dimension: | \(84\) |
Relative dimension: | \(42\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 31.1 | ||
Character | \(\chi\) | \(=\) | 252.31 |
Dual form | 252.2.n.b.187.1 |
$q$-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 \(\left(\mathbb{Z}/252\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41347 | − | 0.0457258i | −0.999477 | − | 0.0323331i | ||||
\(3\) | −0.962720 | − | 1.43985i | −0.555827 | − | 0.831298i | ||||
\(4\) | 1.99582 | + | 0.129265i | 0.997909 | + | 0.0646323i | ||||
\(5\) | 0.724862i | 0.324168i | 0.986777 | + | 0.162084i | \(0.0518216\pi\) | ||||
−0.986777 | + | 0.162084i | \(0.948178\pi\) | |||||||
\(6\) | 1.29494 | + | 2.07921i | 0.528658 | + | 0.848835i | ||||
\(7\) | −1.25991 | + | 2.32651i | −0.476200 | + | 0.879337i | ||||
\(8\) | −2.81513 | − | 0.273973i | −0.995298 | − | 0.0968640i | ||||
\(9\) | −1.14634 | + | 2.77235i | −0.382113 | + | 0.924116i | ||||
\(10\) | 0.0331449 | − | 1.02457i | 0.0104814 | − | 0.323999i | ||||
\(11\) | 0.579473i | 0.174718i | 0.996177 | + | 0.0873588i | \(0.0278427\pi\) | ||||
−0.996177 | + | 0.0873588i | \(0.972157\pi\) | |||||||
\(12\) | −1.73529 | − | 2.99813i | −0.500936 | − | 0.865484i | ||||
\(13\) | 3.35535 | + | 1.93721i | 0.930608 | + | 0.537287i | 0.887004 | − | 0.461762i | \(-0.152783\pi\) |
0.0436041 | + | 0.999049i | \(0.486116\pi\) | |||||||
\(14\) | 1.88723 | − | 3.23085i | 0.504383 | − | 0.863480i | ||||
\(15\) | 1.04369 | − | 0.697840i | 0.269480 | − | 0.180181i | ||||
\(16\) | 3.96658 | + | 0.515977i | 0.991645 | + | 0.128994i | ||||
\(17\) | −3.20279 | − | 1.84913i | −0.776791 | − | 0.448480i | 0.0585009 | − | 0.998287i | \(-0.481368\pi\) |
−0.835292 | + | 0.549807i | \(0.814701\pi\) | |||||||
\(18\) | 1.74709 | − | 3.86622i | 0.411793 | − | 0.911278i | ||||
\(19\) | 2.04363 | + | 3.53967i | 0.468841 | + | 0.812057i | 0.999366 | − | 0.0356130i | \(-0.0113384\pi\) |
−0.530525 | + | 0.847670i | \(0.678005\pi\) | |||||||
\(20\) | −0.0936991 | + | 1.44669i | −0.0209517 | + | 0.323491i | ||||
\(21\) | 4.56276 | − | 0.425697i | 0.995676 | − | 0.0928946i | ||||
\(22\) | 0.0264969 | − | 0.819070i | 0.00564915 | − | 0.174626i | ||||
\(23\) | 5.16253i | 1.07646i | 0.842797 | + | 0.538231i | \(0.180907\pi\) | ||||
−0.842797 | + | 0.538231i | \(0.819093\pi\) | |||||||
\(24\) | 2.31570 | + | 4.31712i | 0.472690 | + | 0.881229i | ||||
\(25\) | 4.47457 | 0.894915 | ||||||||
\(26\) | −4.65413 | − | 2.89163i | −0.912749 | − | 0.567095i | ||||
\(27\) | 5.09537 | − | 1.01844i | 0.980604 | − | 0.195999i | ||||
\(28\) | −2.81528 | + | 4.48042i | −0.532038 | + | 0.846720i | ||||
\(29\) | 4.56967 | + | 7.91490i | 0.848566 | + | 1.46976i | 0.882488 | + | 0.470335i | \(0.155867\pi\) |
−0.0339219 | + | 0.999424i | \(0.510800\pi\) | |||||||
\(30\) | −1.50714 | + | 0.938655i | −0.275165 | + | 0.171374i | ||||
\(31\) | −0.424336 | − | 0.734971i | −0.0762129 | − | 0.132005i | 0.825400 | − | 0.564548i | \(-0.190950\pi\) |
−0.901613 | + | 0.432543i | \(0.857616\pi\) | |||||||
\(32\) | −5.58307 | − | 0.910696i | −0.986956 | − | 0.160990i | ||||
\(33\) | 0.834354 | − | 0.557870i | 0.145242 | − | 0.0971127i | ||||
\(34\) | 4.44251 | + | 2.76015i | 0.761884 | + | 0.473362i | ||||
\(35\) | −1.68640 | − | 0.913260i | −0.285053 | − | 0.154369i | ||||
\(36\) | −2.64625 | + | 5.38492i | −0.441042 | + | 0.897487i | ||||
\(37\) | −1.73892 | − | 3.01190i | −0.285877 | − | 0.495153i | 0.686945 | − | 0.726710i | \(-0.258951\pi\) |
−0.972821 | + | 0.231557i | \(0.925618\pi\) | |||||||
\(38\) | −2.72676 | − | 5.09668i | −0.442340 | − | 0.826791i | ||||
\(39\) | −0.440968 | − | 6.69620i | −0.0706115 | − | 1.07225i | ||||
\(40\) | 0.198592 | − | 2.04058i | 0.0314002 | − | 0.322644i | ||||
\(41\) | 0.854749 | + | 0.493490i | 0.133489 | + | 0.0770701i | 0.565258 | − | 0.824914i | \(-0.308777\pi\) |
−0.431768 | + | 0.901985i | \(0.642110\pi\) | |||||||
\(42\) | −6.46881 | + | 0.393075i | −0.998159 | + | 0.0606528i | ||||
\(43\) | −10.9509 | + | 6.32252i | −1.67000 | + | 0.964175i | −0.702367 | + | 0.711815i | \(0.747874\pi\) |
−0.967633 | + | 0.252360i | \(0.918793\pi\) | |||||||
\(44\) | −0.0749053 | + | 1.15652i | −0.0112924 | + | 0.174352i | ||||
\(45\) | −2.00957 | − | 0.830938i | −0.299569 | − | 0.123869i | ||||
\(46\) | 0.236061 | − | 7.29711i | 0.0348053 | − | 1.07590i | ||||
\(47\) | 5.79030 | − | 10.0291i | 0.844603 | − | 1.46289i | −0.0413633 | − | 0.999144i | \(-0.513170\pi\) |
0.885966 | − | 0.463750i | \(-0.153497\pi\) | |||||||
\(48\) | −3.07578 | − | 6.20803i | −0.443950 | − | 0.896051i | ||||
\(49\) | −3.82527 | − | 5.86237i | −0.546467 | − | 0.837481i | ||||
\(50\) | −6.32470 | − | 0.204604i | −0.894447 | − | 0.0289353i | ||||
\(51\) | 0.420918 | + | 6.39174i | 0.0589403 | + | 0.895022i | ||||
\(52\) | 6.44626 | + | 4.30006i | 0.893936 | + | 0.596311i | ||||
\(53\) | −2.70941 | + | 4.69284i | −0.372166 | + | 0.644611i | −0.989899 | − | 0.141778i | \(-0.954718\pi\) |
0.617732 | + | 0.786388i | \(0.288052\pi\) | |||||||
\(54\) | −7.24874 | + | 1.20655i | −0.986429 | + | 0.164190i | ||||
\(55\) | −0.420038 | −0.0566379 | ||||||||
\(56\) | 4.18420 | − | 6.20423i | 0.559137 | − | 0.829075i | ||||
\(57\) | 3.12915 | − | 6.35024i | 0.414467 | − | 0.841110i | ||||
\(58\) | −6.09719 | − | 11.3965i | −0.800601 | − | 1.49643i | ||||
\(59\) | −0.193920 | − | 0.335879i | −0.0252462 | − | 0.0437277i | 0.853126 | − | 0.521704i | \(-0.174704\pi\) |
−0.878372 | + | 0.477977i | \(0.841370\pi\) | |||||||
\(60\) | 2.17323 | − | 1.25785i | 0.280563 | − | 0.162388i | ||||
\(61\) | −0.771976 | − | 0.445701i | −0.0988414 | − | 0.0570661i | 0.449765 | − | 0.893147i | \(-0.351508\pi\) |
−0.548606 | + | 0.836081i | \(0.684841\pi\) | |||||||
\(62\) | 0.566180 | + | 1.05827i | 0.0719050 | + | 0.134400i | ||||
\(63\) | −5.00560 | − | 6.15987i | −0.630647 | − | 0.776070i | ||||
\(64\) | 7.84988 | + | 1.54254i | 0.981235 | + | 0.192817i | ||||
\(65\) | −1.40421 | + | 2.43217i | −0.174171 | + | 0.301674i | ||||
\(66\) | −1.20485 | + | 0.750383i | −0.148306 | + | 0.0923658i | ||||
\(67\) | −2.73549 | + | 1.57934i | −0.334193 | + | 0.192947i | −0.657701 | − | 0.753279i | \(-0.728471\pi\) |
0.323508 | + | 0.946225i | \(0.395138\pi\) | |||||||
\(68\) | −6.15316 | − | 4.10454i | −0.746180 | − | 0.497748i | ||||
\(69\) | 7.43328 | − | 4.97008i | 0.894862 | − | 0.598327i | ||||
\(70\) | 2.34192 | + | 1.36798i | 0.279913 | + | 0.163505i | ||||
\(71\) | 7.56506i | 0.897807i | 0.893580 | + | 0.448904i | \(0.148185\pi\) | ||||
−0.893580 | + | 0.448904i | \(0.851815\pi\) | |||||||
\(72\) | 3.98664 | − | 7.49044i | 0.469830 | − | 0.882757i | ||||
\(73\) | −10.1955 | − | 5.88637i | −1.19329 | − | 0.688947i | −0.234240 | − | 0.972179i | \(-0.575260\pi\) |
−0.959051 | + | 0.283232i | \(0.908593\pi\) | |||||||
\(74\) | 2.32020 | + | 4.33675i | 0.269717 | + | 0.504137i | ||||
\(75\) | −4.30776 | − | 6.44272i | −0.497418 | − | 0.743941i | ||||
\(76\) | 3.62116 | + | 7.32871i | 0.415376 | + | 0.840661i | ||||
\(77\) | −1.34815 | − | 0.730082i | −0.153636 | − | 0.0832006i | ||||
\(78\) | 0.317108 | + | 9.48508i | 0.0359054 | + | 1.07397i | ||||
\(79\) | 2.94437 | + | 1.69993i | 0.331268 | + | 0.191257i | 0.656404 | − | 0.754410i | \(-0.272077\pi\) |
−0.325136 | + | 0.945667i | \(0.605410\pi\) | |||||||
\(80\) | −0.374013 | + | 2.87523i | −0.0418159 | + | 0.321460i | ||||
\(81\) | −6.37181 | − | 6.35610i | −0.707979 | − | 0.706233i | ||||
\(82\) | −1.18560 | − | 0.736619i | −0.130928 | − | 0.0813460i | ||||
\(83\) | 3.46587 | + | 6.00306i | 0.380428 | + | 0.658921i | 0.991123 | − | 0.132945i | \(-0.0424433\pi\) |
−0.610695 | + | 0.791866i | \(0.709110\pi\) | |||||||
\(84\) | 9.16147 | − | 0.259810i | 0.999598 | − | 0.0283476i | ||||
\(85\) | 1.34037 | − | 2.32158i | 0.145383 | − | 0.251811i | ||||
\(86\) | 15.7680 | − | 8.43598i | 1.70030 | − | 0.909675i | ||||
\(87\) | 6.99696 | − | 14.1995i | 0.750152 | − | 1.52234i | ||||
\(88\) | 0.158760 | − | 1.63129i | 0.0169238 | − | 0.173896i | ||||
\(89\) | −2.37662 | + | 1.37214i | −0.251921 | + | 0.145446i | −0.620643 | − | 0.784093i | \(-0.713129\pi\) |
0.368723 | + | 0.929539i | \(0.379795\pi\) | |||||||
\(90\) | 2.80248 | + | 1.26640i | 0.295407 | + | 0.133490i | ||||
\(91\) | −8.73438 | + | 5.36554i | −0.915612 | + | 0.562462i | ||||
\(92\) | −0.667333 | + | 10.3035i | −0.0695743 | + | 1.07421i | ||||
\(93\) | −0.649731 | + | 1.31855i | −0.0673740 | + | 0.136727i | ||||
\(94\) | −8.64303 | + | 13.9111i | −0.891461 | + | 1.43482i | ||||
\(95\) | −2.56578 | + | 1.48135i | −0.263243 | + | 0.151983i | ||||
\(96\) | 4.06367 | + | 8.91553i | 0.414746 | + | 0.909937i | ||||
\(97\) | −9.32750 | + | 5.38523i | −0.947064 | + | 0.546788i | −0.892168 | − | 0.451704i | \(-0.850816\pi\) |
−0.0548963 | + | 0.998492i | \(0.517483\pi\) | |||||||
\(98\) | 5.13885 | + | 8.46122i | 0.519102 | + | 0.854712i | ||||
\(99\) | −1.60650 | − | 0.664272i | −0.161459 | − | 0.0667619i | ||||
\(100\) | 8.93044 | + | 0.578404i | 0.893044 | + | 0.0578404i | ||||
\(101\) | − | 9.57208i | − | 0.952457i | −0.879321 | − | 0.476229i | \(-0.842003\pi\) | ||
0.879321 | − | 0.476229i | \(-0.157997\pi\) | |||||||
\(102\) | −0.302689 | − | 9.05380i | −0.0299707 | − | 0.896460i | ||||
\(103\) | 10.7011 | 1.05441 | 0.527206 | − | 0.849738i | \(-0.323240\pi\) | ||||
0.527206 | + | 0.849738i | \(0.323240\pi\) | |||||||
\(104\) | −8.91500 | − | 6.37278i | −0.874188 | − | 0.624903i | ||||
\(105\) | 0.308572 | + | 3.30737i | 0.0301135 | + | 0.322767i | ||||
\(106\) | 4.04427 | − | 6.50932i | 0.392814 | − | 0.632241i | ||||
\(107\) | 1.37590 | − | 0.794374i | 0.133013 | − | 0.0767950i | −0.432017 | − | 0.901865i | \(-0.642198\pi\) |
0.565030 | + | 0.825070i | \(0.308865\pi\) | |||||||
\(108\) | 10.3011 | − | 1.37397i | 0.991222 | − | 0.132210i | ||||
\(109\) | −4.38392 | + | 7.59317i | −0.419903 | + | 0.727294i | −0.995929 | − | 0.0901375i | \(-0.971269\pi\) |
0.576026 | + | 0.817431i | \(0.304603\pi\) | |||||||
\(110\) | 0.593713 | + | 0.0192066i | 0.0566083 | + | 0.00183128i | ||||
\(111\) | −2.66259 | + | 5.40340i | −0.252722 | + | 0.512868i | ||||
\(112\) | −6.19795 | + | 8.57819i | −0.585651 | + | 0.810563i | ||||
\(113\) | 3.31031 | − | 5.73363i | 0.311408 | − | 0.539375i | −0.667259 | − | 0.744825i | \(-0.732533\pi\) |
0.978667 | + | 0.205451i | \(0.0658660\pi\) | |||||||
\(114\) | −4.71335 | + | 8.83281i | −0.441446 | + | 0.827269i | ||||
\(115\) | −3.74213 | −0.348955 | ||||||||
\(116\) | 8.09711 | + | 16.3874i | 0.751798 | + | 1.52153i | ||||
\(117\) | −9.21700 | + | 7.08150i | −0.852112 | + | 0.654685i | ||||
\(118\) | 0.258742 | + | 0.483623i | 0.0238191 | + | 0.0445211i | ||||
\(119\) | 8.33724 | − | 5.12158i | 0.764273 | − | 0.469494i | ||||
\(120\) | −3.12932 | + | 1.67856i | −0.285666 | + | 0.153231i | ||||
\(121\) | 10.6642 | 0.969474 | ||||||||
\(122\) | 1.07079 | + | 0.665285i | 0.0969446 | + | 0.0602321i | ||||
\(123\) | −0.112333 | − | 1.70580i | −0.0101287 | − | 0.153807i | ||||
\(124\) | −0.751891 | − | 1.52172i | −0.0675218 | − | 0.136654i | ||||
\(125\) | 6.86776i | 0.614271i | ||||||||
\(126\) | 6.79362 | + | 8.93570i | 0.605224 | + | 0.796055i | ||||
\(127\) | − | 9.20736i | − | 0.817021i | −0.912754 | − | 0.408511i | \(-0.866048\pi\) | ||
0.912754 | − | 0.408511i | \(-0.133952\pi\) | |||||||
\(128\) | −11.0251 | − | 2.53928i | −0.974487 | − | 0.224442i | ||||
\(129\) | 19.6462 | + | 9.68088i | 1.72975 | + | 0.852354i | ||||
\(130\) | 2.09603 | − | 3.37360i | 0.183834 | − | 0.295884i | ||||
\(131\) | 16.1387 | 1.41005 | 0.705023 | − | 0.709184i | \(-0.250937\pi\) | ||||
0.705023 | + | 0.709184i | \(0.250937\pi\) | |||||||
\(132\) | 1.73733 | − | 1.00555i | 0.151215 | − | 0.0875223i | ||||
\(133\) | −10.8099 | + | 0.294860i | −0.937333 | + | 0.0255676i | ||||
\(134\) | 3.93876 | − | 2.10727i | 0.340257 | − | 0.182040i | ||||
\(135\) | 0.738228 | + | 3.69344i | 0.0635365 | + | 0.317881i | ||||
\(136\) | 8.50965 | + | 6.08302i | 0.729696 | + | 0.521615i | ||||
\(137\) | −2.29753 | −0.196291 | −0.0981457 | − | 0.995172i | \(-0.531291\pi\) | ||||
−0.0981457 | + | 0.995172i | \(0.531291\pi\) | |||||||
\(138\) | −10.7340 | + | 6.68518i | −0.913739 | + | 0.569081i | ||||
\(139\) | 3.40486 | − | 5.89740i | 0.288797 | − | 0.500211i | −0.684726 | − | 0.728801i | \(-0.740078\pi\) |
0.973523 | + | 0.228590i | \(0.0734115\pi\) | |||||||
\(140\) | −3.24769 | − | 2.04069i | −0.274480 | − | 0.172470i | ||||
\(141\) | −20.0148 | + | 1.31805i | −1.68555 | + | 0.111000i | ||||
\(142\) | 0.345919 | − | 10.6930i | 0.0290289 | − | 0.897338i | ||||
\(143\) | −1.12256 | + | 1.94434i | −0.0938734 | + | 0.162594i | ||||
\(144\) | −5.97751 | + | 10.4053i | −0.498126 | + | 0.867105i | ||||
\(145\) | −5.73721 | + | 3.31238i | −0.476449 | + | 0.275078i | ||||
\(146\) | 14.1419 | + | 8.78642i | 1.17039 | + | 0.727169i | ||||
\(147\) | −4.75827 | + | 11.1516i | −0.392456 | + | 0.919771i | ||||
\(148\) | −3.08124 | − | 6.23598i | −0.253276 | − | 0.512594i | ||||
\(149\) | −11.8903 | −0.974094 | −0.487047 | − | 0.873376i | \(-0.661926\pi\) | ||||
−0.487047 | + | 0.873376i | \(0.661926\pi\) | |||||||
\(150\) | 5.79431 | + | 9.30359i | 0.473104 | + | 0.759635i | ||||
\(151\) | − | 13.7417i | − | 1.11828i | −0.829073 | − | 0.559140i | \(-0.811131\pi\) | ||
0.829073 | − | 0.559140i | \(-0.188869\pi\) | |||||||
\(152\) | −4.78331 | − | 10.5245i | −0.387977 | − | 0.853652i | ||||
\(153\) | 8.79792 | − | 6.75951i | 0.711270 | − | 0.546474i | ||||
\(154\) | 1.87219 | + | 1.09360i | 0.150865 | + | 0.0881246i | ||||
\(155\) | 0.532753 | − | 0.307585i | 0.0427917 | − | 0.0247058i | ||||
\(156\) | −0.0145106 | − | 13.4214i | −0.00116178 | − | 1.07457i | ||||
\(157\) | 10.6702 | − | 6.16047i | 0.851578 | − | 0.491659i | −0.00960511 | − | 0.999954i | \(-0.503057\pi\) |
0.861183 | + | 0.508295i | \(0.169724\pi\) | |||||||
\(158\) | −4.08406 | − | 2.53745i | −0.324910 | − | 0.201868i | ||||
\(159\) | 9.36539 | − | 0.616744i | 0.742724 | − | 0.0489110i | ||||
\(160\) | 0.660129 | − | 4.04695i | 0.0521878 | − | 0.319940i | ||||
\(161\) | −12.0107 | − | 6.50432i | −0.946573 | − | 0.512612i | ||||
\(162\) | 8.71576 | + | 9.27554i | 0.684775 | + | 0.728755i | ||||
\(163\) | 4.96214 | − | 2.86489i | 0.388665 | − | 0.224396i | −0.292917 | − | 0.956138i | \(-0.594626\pi\) |
0.681582 | + | 0.731742i | \(0.261292\pi\) | |||||||
\(164\) | 1.64213 | + | 1.09540i | 0.128229 | + | 0.0855367i | ||||
\(165\) | 0.404379 | + | 0.604792i | 0.0314809 | + | 0.0470830i | ||||
\(166\) | −4.62442 | − | 8.64364i | −0.358924 | − | 0.670877i | ||||
\(167\) | 4.19478 | − | 7.26556i | 0.324601 | − | 0.562226i | −0.656830 | − | 0.754039i | \(-0.728103\pi\) |
0.981432 | + | 0.191812i | \(0.0614365\pi\) | |||||||
\(168\) | −12.9614 | − | 0.0516813i | −0.999992 | − | 0.00398730i | ||||
\(169\) | 1.00560 | + | 1.74175i | 0.0773539 | + | 0.133981i | ||||
\(170\) | −2.00073 | + | 3.22021i | −0.153449 | + | 0.246979i | ||||
\(171\) | −12.1559 | + | 1.60799i | −0.929584 | + | 0.122966i | ||||
\(172\) | −22.6733 | + | 11.2030i | −1.72883 | + | 0.854223i | ||||
\(173\) | 15.4748 | + | 8.93437i | 1.17653 | + | 0.679267i | 0.955208 | − | 0.295935i | \(-0.0956310\pi\) |
0.221317 | + | 0.975202i | \(0.428964\pi\) | |||||||
\(174\) | −10.5393 | + | 19.7506i | −0.798982 | + | 1.49729i | ||||
\(175\) | −5.63755 | + | 10.4101i | −0.426159 | + | 0.786932i | ||||
\(176\) | −0.298995 | + | 2.29853i | −0.0225376 | + | 0.173258i | ||||
\(177\) | −0.296925 | + | 0.602572i | −0.0223182 | + | 0.0452921i | ||||
\(178\) | 3.42203 | − | 1.83081i | 0.256492 | − | 0.137225i | ||||
\(179\) | 21.7765 | + | 12.5727i | 1.62765 | + | 0.939727i | 0.984790 | + | 0.173747i | \(0.0555874\pi\) |
0.642864 | + | 0.765980i | \(0.277746\pi\) | |||||||
\(180\) | −3.90333 | − | 1.91817i | −0.290937 | − | 0.142972i | ||||
\(181\) | − | 21.3865i | − | 1.58965i | −0.606841 | − | 0.794824i | \(-0.707563\pi\) | ||
0.606841 | − | 0.794824i | \(-0.292437\pi\) | |||||||
\(182\) | 12.5912 | − | 7.18467i | 0.933319 | − | 0.532563i | ||||
\(183\) | 0.101455 | + | 1.54061i | 0.00749976 | + | 0.113886i | ||||
\(184\) | 1.41439 | − | 14.5332i | 0.104270 | − | 1.07140i | ||||
\(185\) | 2.18321 | − | 1.26048i | 0.160513 | − | 0.0926722i | ||||
\(186\) | 0.978670 | − | 1.83403i | 0.0717596 | − | 0.134477i | ||||
\(187\) | 1.07152 | − | 1.85593i | 0.0783574 | − | 0.135719i | ||||
\(188\) | 12.8528 | − | 19.2678i | 0.937387 | − | 1.40525i | ||||
\(189\) | −4.05029 | + | 13.1375i | −0.294615 | + | 0.955616i | ||||
\(190\) | 3.69439 | − | 1.97653i | 0.268019 | − | 0.143393i | ||||
\(191\) | −0.345563 | − | 0.199511i | −0.0250041 | − | 0.0144361i | 0.487446 | − | 0.873153i | \(-0.337929\pi\) |
−0.512450 | + | 0.858717i | \(0.671262\pi\) | |||||||
\(192\) | −5.33622 | − | 12.7877i | −0.385108 | − | 0.922871i | ||||
\(193\) | 8.09770 | + | 14.0256i | 0.582885 | + | 1.00959i | 0.995135 | + | 0.0985165i | \(0.0314097\pi\) |
−0.412250 | + | 0.911071i | \(0.635257\pi\) | |||||||
\(194\) | 13.4304 | − | 7.18538i | 0.964248 | − | 0.515880i | ||||
\(195\) | 4.85383 | − | 0.319641i | 0.347590 | − | 0.0228900i | ||||
\(196\) | −6.87674 | − | 12.1947i | −0.491196 | − | 0.871049i | ||||
\(197\) | 23.4117 | 1.66801 | 0.834006 | − | 0.551756i | \(-0.186042\pi\) | ||||
0.834006 | + | 0.551756i | \(0.186042\pi\) | |||||||
\(198\) | 2.24037 | + | 1.01239i | 0.159216 | + | 0.0719474i | ||||
\(199\) | 6.11333 | − | 10.5886i | 0.433362 | − | 0.750606i | −0.563798 | − | 0.825913i | \(-0.690660\pi\) |
0.997160 | + | 0.0753071i | \(0.0239937\pi\) | |||||||
\(200\) | −12.5965 | − | 1.22591i | −0.890707 | − | 0.0866850i | ||||
\(201\) | 4.90752 | + | 2.41824i | 0.346150 | + | 0.170569i | ||||
\(202\) | −0.437691 | + | 13.5299i | −0.0307959 | + | 0.951959i | ||||
\(203\) | −24.1714 | + | 0.659324i | −1.69650 | + | 0.0462754i | ||||
\(204\) | 0.0138509 | + | 12.8112i | 0.000969754 | + | 0.896960i | ||||
\(205\) | −0.357712 | + | 0.619576i | −0.0249837 | + | 0.0432730i | ||||
\(206\) | −15.1257 | − | 0.489317i | −1.05386 | − | 0.0340923i | ||||
\(207\) | −14.3123 | − | 5.91801i | −0.994776 | − | 0.411330i | ||||
\(208\) | 12.3097 | + | 9.41541i | 0.853526 | + | 0.652841i | ||||
\(209\) | −2.05114 | + | 1.18423i | −0.141881 | + | 0.0819148i | ||||
\(210\) | −0.284925 | − | 4.68900i | −0.0196617 | − | 0.323571i | ||||
\(211\) | −11.8107 | − | 6.81891i | −0.813082 | − | 0.469433i | 0.0349433 | − | 0.999389i | \(-0.488875\pi\) |
−0.848025 | + | 0.529956i | \(0.822208\pi\) | |||||||
\(212\) | −6.01411 | + | 9.01582i | −0.413051 | + | 0.619209i | ||||
\(213\) | 10.8926 | − | 7.28304i | 0.746346 | − | 0.499026i | ||||
\(214\) | −1.98112 | + | 1.05991i | −0.135426 | + | 0.0724542i | ||||
\(215\) | −4.58296 | − | 7.93791i | −0.312555 | − | 0.541361i | ||||
\(216\) | −14.6231 | + | 1.47104i | −0.994978 | + | 0.100092i | ||||
\(217\) | 2.24454 | − | 0.0612242i | 0.152369 | − | 0.00415617i | ||||
\(218\) | 6.54376 | − | 10.5323i | 0.443199 | − | 0.713337i | ||||
\(219\) | 1.33991 | + | 20.3469i | 0.0905430 | + | 1.37492i | ||||
\(220\) | −0.838319 | − | 0.0542960i | −0.0565195 | − | 0.00366064i | ||||
\(221\) | −7.16433 | − | 12.4090i | −0.481925 | − | 0.834719i | ||||
\(222\) | 4.01057 | − | 7.51582i | 0.269172 | − | 0.504429i | ||||
\(223\) | −8.37599 | − | 14.5076i | −0.560898 | − | 0.971504i | −0.997418 | − | 0.0718094i | \(-0.977123\pi\) |
0.436520 | − | 0.899694i | \(-0.356211\pi\) | |||||||
\(224\) | 9.15289 | − | 11.8416i | 0.611553 | − | 0.791203i | ||||
\(225\) | −5.12938 | + | 12.4051i | −0.341959 | + | 0.827005i | ||||
\(226\) | −4.94122 | + | 7.95297i | −0.328685 | + | 0.529024i | ||||
\(227\) | −21.9681 | −1.45807 | −0.729037 | − | 0.684474i | \(-0.760032\pi\) | ||||
−0.729037 | + | 0.684474i | \(0.760032\pi\) | |||||||
\(228\) | 7.06608 | − | 12.2694i | 0.467963 | − | 0.812563i | ||||
\(229\) | − | 3.79488i | − | 0.250773i | −0.992108 | − | 0.125386i | \(-0.959983\pi\) | ||
0.992108 | − | 0.125386i | \(-0.0400171\pi\) | |||||||
\(230\) | 5.28940 | + | 0.171112i | 0.348773 | + | 0.0112828i | ||||
\(231\) | 0.246680 | + | 2.64399i | 0.0162303 | + | 0.173962i | ||||
\(232\) | −10.6957 | − | 23.5334i | −0.702209 | − | 1.54504i | ||||
\(233\) | −10.3989 | − | 18.0115i | −0.681256 | − | 1.17997i | −0.974598 | − | 0.223963i | \(-0.928101\pi\) |
0.293341 | − | 0.956008i | \(-0.405233\pi\) | |||||||
\(234\) | 13.3518 | − | 9.58806i | 0.872835 | − | 0.626791i | ||||
\(235\) | 7.26972 | + | 4.19717i | 0.474224 | + | 0.273793i | ||||
\(236\) | −0.343611 | − | 0.695420i | −0.0223672 | − | 0.0452680i | ||||
\(237\) | −0.386956 | − | 5.87601i | −0.0251355 | − | 0.381688i | ||||
\(238\) | −12.0187 | + | 6.85799i | −0.779054 | + | 0.444538i | ||||
\(239\) | 0.874254 | + | 0.504751i | 0.0565508 | + | 0.0326496i | 0.528009 | − | 0.849239i | \(-0.322939\pi\) |
−0.471458 | + | 0.881888i | \(0.656272\pi\) | |||||||
\(240\) | 4.49996 | − | 2.22952i | 0.290471 | − | 0.143915i | ||||
\(241\) | 26.0294i | 1.67670i | 0.545134 | + | 0.838349i | \(0.316479\pi\) | ||||
−0.545134 | + | 0.838349i | \(0.683521\pi\) | |||||||
\(242\) | −15.0736 | − | 0.487630i | −0.968967 | − | 0.0313461i | ||||
\(243\) | −3.01756 | + | 15.2936i | −0.193576 | + | 0.981085i | ||||
\(244\) | −1.48311 | − | 0.989326i | −0.0949464 | − | 0.0633351i | ||||
\(245\) | 4.24941 | − | 2.77279i | 0.271485 | − | 0.177147i | ||||
\(246\) | 0.0807806 | + | 2.41625i | 0.00515039 | + | 0.154054i | ||||
\(247\) | 15.8358i | 1.00761i | ||||||||
\(248\) | 0.993196 | + | 2.18529i | 0.0630680 | + | 0.138766i | ||||
\(249\) | 5.30684 | − | 10.7696i | 0.336307 | − | 0.682495i | ||||
\(250\) | 0.314034 | − | 9.70740i | 0.0198613 | − | 0.613950i | ||||
\(251\) | −18.4201 | −1.16266 | −0.581332 | − | 0.813666i | \(-0.697468\pi\) | ||||
−0.581332 | + | 0.813666i | \(0.697468\pi\) | |||||||
\(252\) | −9.19402 | − | 12.9410i | −0.579169 | − | 0.815208i | ||||
\(253\) | −2.99155 | −0.188077 | ||||||||
\(254\) | −0.421014 | + | 13.0144i | −0.0264168 | + | 0.816594i | ||||
\(255\) | −4.63313 | + | 0.305108i | −0.290138 | + | 0.0191066i | ||||
\(256\) | 15.4675 | + | 4.09333i | 0.966721 | + | 0.255833i | ||||
\(257\) | − | 12.5656i | − | 0.783821i | −0.920003 | − | 0.391910i | \(-0.871814\pi\) | ||
0.920003 | − | 0.391910i | \(-0.128186\pi\) | |||||||
\(258\) | −27.3267 | − | 14.5820i | −1.70128 | − | 0.907836i | ||||
\(259\) | 9.19808 | − | 0.250896i | 0.571541 | − | 0.0155899i | ||||
\(260\) | −3.11695 | + | 4.67265i | −0.193305 | + | 0.289786i | ||||
\(261\) | −27.1812 | + | 3.59555i | −1.68248 | + | 0.222559i | ||||
\(262\) | −22.8117 | − | 0.737956i | −1.40931 | − | 0.0455911i | ||||
\(263\) | 9.93943i | 0.612892i | 0.951888 | + | 0.306446i | \(0.0991398\pi\) | ||||
−0.951888 | + | 0.306446i | \(0.900860\pi\) | |||||||
\(264\) | −2.50165 | + | 1.34189i | −0.153966 | + | 0.0825873i | ||||
\(265\) | −3.40166 | − | 1.96395i | −0.208962 | − | 0.120645i | ||||
\(266\) | 15.2929 | + | 0.0775124i | 0.937670 | + | 0.00475259i | ||||
\(267\) | 4.26369 | + | 2.10098i | 0.260934 | + | 0.128578i | ||||
\(268\) | −5.66369 | + | 2.79847i | −0.345965 | + | 0.170943i | ||||
\(269\) | 6.20144 | + | 3.58040i | 0.378108 | + | 0.218301i | 0.676995 | − | 0.735988i | \(-0.263282\pi\) |
−0.298887 | + | 0.954289i | \(0.596615\pi\) | |||||||
\(270\) | −0.874580 | − | 5.25434i | −0.0532252 | − | 0.319769i | ||||
\(271\) | −3.11123 | − | 5.38881i | −0.188994 | − | 0.327347i | 0.755921 | − | 0.654663i | \(-0.227189\pi\) |
−0.944915 | + | 0.327316i | \(0.893856\pi\) | |||||||
\(272\) | −11.7500 | − | 8.98730i | −0.712450 | − | 0.544935i | ||||
\(273\) | 16.1343 | + | 7.41068i | 0.976495 | + | 0.448515i | ||||
\(274\) | 3.24750 | + | 0.105057i | 0.196189 | + | 0.00634670i | ||||
\(275\) | 2.59289i | 0.156357i | ||||||||
\(276\) | 15.4779 | − | 8.95851i | 0.931662 | − | 0.539239i | ||||
\(277\) | 26.2342 | 1.57626 | 0.788130 | − | 0.615509i | \(-0.211050\pi\) | ||||
0.788130 | + | 0.615509i | \(0.211050\pi\) | |||||||
\(278\) | −5.08235 | + | 8.18013i | −0.304819 | + | 0.490611i | ||||
\(279\) | 2.52403 | − | 0.333880i | 0.151109 | − | 0.0199889i | ||||
\(280\) | 4.49721 | + | 3.03297i | 0.268760 | + | 0.181255i | ||||
\(281\) | −4.29087 | − | 7.43201i | −0.255972 | − | 0.443357i | 0.709187 | − | 0.705020i | \(-0.249062\pi\) |
−0.965159 | + | 0.261664i | \(0.915729\pi\) | |||||||
\(282\) | 28.3507 | − | 0.947830i | 1.68826 | − | 0.0564425i | ||||
\(283\) | 14.3570 | + | 24.8670i | 0.853435 | + | 1.47819i | 0.878090 | + | 0.478496i | \(0.158818\pi\) |
−0.0246550 | + | 0.999696i | \(0.507849\pi\) | |||||||
\(284\) | −0.977895 | + | 15.0985i | −0.0580274 | + | 0.895930i | ||||
\(285\) | 4.60305 | + | 2.26821i | 0.272661 | + | 0.134357i | ||||
\(286\) | 1.67562 | − | 2.69694i | 0.0990815 | − | 0.159473i | ||||
\(287\) | −2.22501 | + | 1.36683i | −0.131338 | + | 0.0806813i | ||||
\(288\) | 8.92485 | − | 14.4342i | 0.525902 | − | 0.850545i | ||||
\(289\) | −1.66142 | − | 2.87767i | −0.0977307 | − | 0.169275i | ||||
\(290\) | 8.26086 | − | 4.41963i | 0.485094 | − | 0.259529i | ||||
\(291\) | 16.7337 | + | 8.24573i | 0.980947 | + | 0.483373i | ||||
\(292\) | −19.5874 | − | 13.0660i | −1.14627 | − | 0.764632i | ||||
\(293\) | 20.5937 | + | 11.8898i | 1.20310 | + | 0.694609i | 0.961243 | − | 0.275704i | \(-0.0889109\pi\) |
0.241855 | + | 0.970312i | \(0.422244\pi\) | |||||||
\(294\) | 7.23561 | − | 15.5450i | 0.421989 | − | 0.906601i | ||||
\(295\) | 0.243466 | − | 0.140565i | 0.0141751 | − | 0.00818401i | ||||
\(296\) | 4.07010 | + | 8.95529i | 0.236570 | + | 0.520516i | ||||
\(297\) | 0.590157 | + | 2.95263i | 0.0342444 | + | 0.171329i | ||||
\(298\) | 16.8067 | + | 0.543696i | 0.973585 | + | 0.0314954i | ||||
\(299\) | −10.0009 | + | 17.3221i | −0.578369 | + | 1.00176i | ||||
\(300\) | −7.76470 | − | 13.4153i | −0.448295 | − | 0.774535i | ||||
\(301\) | −0.912230 | − | 33.4432i | −0.0525800 | − | 1.92763i | ||||
\(302\) | −0.628349 | + | 19.4235i | −0.0361574 | + | 1.11770i | ||||
\(303\) | −13.7824 | + | 9.21523i | −0.791776 | + | 0.529401i | ||||
\(304\) | 6.27984 | + | 15.0949i | 0.360173 | + | 0.865750i | ||||
\(305\) | 0.323072 | − | 0.559576i | 0.0184990 | − | 0.0320412i | ||||
\(306\) | −12.7447 | + | 9.15211i | −0.728567 | + | 0.523191i | ||||
\(307\) | 12.4459 | 0.710323 | 0.355161 | − | 0.934805i | \(-0.384426\pi\) | ||||
0.355161 | + | 0.934805i | \(0.384426\pi\) | |||||||
\(308\) | −2.59628 | − | 1.63138i | −0.147937 | − | 0.0929564i | ||||
\(309\) | −10.3022 | − | 15.4080i | −0.586070 | − | 0.876530i | ||||
\(310\) | −0.767097 | + | 0.410403i | −0.0435682 | + | 0.0233093i | ||||
\(311\) | −13.8745 | − | 24.0314i | −0.786752 | − | 1.36269i | −0.927947 | − | 0.372713i | \(-0.878428\pi\) |
0.141195 | − | 0.989982i | \(-0.454906\pi\) | |||||||
\(312\) | −0.593195 | + | 18.9715i | −0.0335830 | + | 1.07405i | ||||
\(313\) | 21.6896 | + | 12.5225i | 1.22597 | + | 0.707813i | 0.966184 | − | 0.257854i | \(-0.0830155\pi\) |
0.259783 | + | 0.965667i | \(0.416349\pi\) | |||||||
\(314\) | −15.3638 | + | 8.21975i | −0.867029 | + | 0.463867i | ||||
\(315\) | 4.46506 | − | 3.62837i | 0.251577 | − | 0.204436i | ||||
\(316\) | 5.65669 | + | 3.77336i | 0.318214 | + | 0.212268i | ||||
\(317\) | −9.58415 | + | 16.6002i | −0.538300 | + | 0.932362i | 0.460696 | + | 0.887558i | \(0.347600\pi\) |
−0.998996 | + | 0.0448044i | \(0.985734\pi\) | |||||||
\(318\) | −13.2659 | + | 0.443511i | −0.743917 | + | 0.0248709i | ||||
\(319\) | −4.58647 | + | 2.64800i | −0.256793 | + | 0.148259i | ||||
\(320\) | −1.11813 | + | 5.69008i | −0.0625051 | + | 0.318085i | ||||
\(321\) | −2.46838 | − | 1.21632i | −0.137772 | − | 0.0678886i | ||||
\(322\) | 16.6794 | + | 9.74288i | 0.929504 | + | 0.542950i | ||||
\(323\) | − | 15.1158i | − | 0.841064i | ||||||
\(324\) | −11.8954 | − | 13.5093i | −0.660854 | − | 0.750515i | ||||
\(325\) | 15.0138 | + | 8.66821i | 0.832815 | + | 0.480826i | ||||
\(326\) | −7.14486 | + | 3.82256i | −0.395717 | + | 0.211712i | ||||
\(327\) | 15.1535 | − | 0.997912i | 0.837992 | − | 0.0551847i | ||||
\(328\) | −2.27102 | − | 1.62341i | −0.125396 | − | 0.0896380i | ||||
\(329\) | 16.0375 | + | 26.1069i | 0.884177 | + | 1.43932i | ||||
\(330\) | −0.543925 | − | 0.873348i | −0.0299421 | − | 0.0480762i | ||||
\(331\) | 6.71711 | + | 3.87813i | 0.369206 | + | 0.213161i | 0.673111 | − | 0.739541i | \(-0.264957\pi\) |
−0.303906 | + | 0.952702i | \(0.598291\pi\) | |||||||
\(332\) | 6.14126 | + | 12.4290i | 0.337045 | + | 0.682131i | ||||
\(333\) | 10.3434 | − | 1.36823i | 0.566816 | − | 0.0749787i | ||||
\(334\) | −6.26143 | + | 10.0779i | −0.342610 | + | 0.551437i | ||||
\(335\) | −1.14480 | − | 1.98285i | −0.0625472 | − | 0.108335i | ||||
\(336\) | 18.3182 | + | 0.665720i | 0.999340 | + | 0.0363180i | ||||
\(337\) | −16.8555 | + | 29.1945i | −0.918175 | + | 1.59033i | −0.115990 | + | 0.993250i | \(0.537004\pi\) |
−0.802185 | + | 0.597076i | \(0.796329\pi\) | |||||||
\(338\) | −1.34175 | − | 2.50790i | −0.0729815 | − | 0.136412i | ||||
\(339\) | −11.4425 | + | 0.753527i | −0.621470 | + | 0.0409260i | ||||
\(340\) | 2.97523 | − | 4.46019i | 0.161354 | − | 0.241888i | ||||
\(341\) | 0.425895 | − | 0.245891i | 0.0230635 | − | 0.0133157i | ||||
\(342\) | 17.2556 | − | 1.71701i | 0.933074 | − | 0.0928454i | ||||
\(343\) | 18.4583 | − | 1.51347i | 0.996655 | − | 0.0817195i | ||||
\(344\) | 32.5604 | − | 14.7984i | 1.75554 | − | 0.797878i | ||||
\(345\) | 3.60262 | + | 5.38810i | 0.193959 | + | 0.290086i | ||||
\(346\) | −21.4647 | − | 13.3361i | −1.15395 | − | 0.716953i | ||||
\(347\) | 0.746474 | − | 0.430977i | 0.0400728 | − | 0.0231360i | −0.479830 | − | 0.877362i | \(-0.659302\pi\) |
0.519903 | + | 0.854226i | \(0.325968\pi\) | |||||||
\(348\) | 15.8001 | − | 27.4351i | 0.846977 | − | 1.47068i | ||||
\(349\) | −29.7538 | + | 17.1783i | −1.59268 | + | 0.919535i | −0.599838 | + | 0.800122i | \(0.704768\pi\) |
−0.992845 | + | 0.119414i | \(0.961899\pi\) | |||||||
\(350\) | 8.44454 | − | 14.4567i | 0.451380 | − | 0.772741i | ||||
\(351\) | 19.0697 | + | 6.45360i | 1.01787 | + | 0.344468i | ||||
\(352\) | 0.527723 | − | 3.23523i | 0.0281278 | − | 0.172439i | ||||
\(353\) | − | 26.4991i | − | 1.41040i | −0.709006 | − | 0.705202i | \(-0.750856\pi\) | ||
0.709006 | − | 0.705202i | \(-0.249144\pi\) | |||||||
\(354\) | 0.447248 | − | 0.838143i | 0.0237710 | − | 0.0445468i | ||||
\(355\) | −5.48363 | −0.291041 | ||||||||
\(356\) | −4.92066 | + | 2.43133i | −0.260795 | + | 0.128860i | ||||
\(357\) | −15.4007 | − | 7.07373i | −0.815093 | − | 0.374381i | ||||
\(358\) | −30.2057 | − | 18.7669i | −1.59642 | − | 0.991863i | ||||
\(359\) | 20.6811 | − | 11.9402i | 1.09150 | − | 0.630181i | 0.157528 | − | 0.987515i | \(-0.449648\pi\) |
0.933977 | + | 0.357334i | \(0.116314\pi\) | |||||||
\(360\) | 5.42954 | + | 2.88976i | 0.286162 | + | 0.152304i | ||||
\(361\) | 1.14715 | − | 1.98692i | 0.0603761 | − | 0.104574i | ||||
\(362\) | −0.977916 | + | 30.2293i | −0.0513982 | + | 1.58882i | ||||
\(363\) | −10.2667 | − | 15.3549i | −0.538860 | − | 0.805922i | ||||
\(364\) | −18.1258 | + | 9.57960i | −0.950050 | + | 0.502108i | ||||
\(365\) | 4.26680 | − | 7.39032i | 0.223335 | − | 0.386827i | ||||
\(366\) | −0.0729579 | − | 2.18226i | −0.00381357 | − | 0.114068i | ||||
\(367\) | 1.54106 | 0.0804424 | 0.0402212 | − | 0.999191i | \(-0.487194\pi\) | ||||
0.0402212 | + | 0.999191i | \(0.487194\pi\) | |||||||
\(368\) | −2.66375 | + | 20.4776i | −0.138858 | + | 1.06747i | ||||
\(369\) | −2.34796 | + | 1.80395i | −0.122230 | + | 0.0939101i | ||||
\(370\) | −3.14355 | + | 1.68182i | −0.163425 | + | 0.0874338i | ||||
\(371\) | −7.50431 | − | 12.2160i | −0.389604 | − | 0.634223i | ||||
\(372\) | −1.46719 | + | 2.54760i | −0.0760702 | + | 0.132087i | ||||
\(373\) | 31.5489 | 1.63354 | 0.816770 | − | 0.576963i | \(-0.195762\pi\) | ||||
0.816770 | + | 0.576963i | \(0.195762\pi\) | |||||||
\(374\) | −1.59943 | + | 2.57431i | −0.0827046 | + | 0.133115i | ||||
\(375\) | 9.88855 | − | 6.61174i | 0.510643 | − | 0.341429i | ||||
\(376\) | −19.0481 | + | 26.6468i | −0.982333 | + | 1.37420i | ||||
\(377\) | 35.4097i | 1.82369i | ||||||||
\(378\) | 6.32571 | − | 18.3844i | 0.325359 | − | 0.945590i | ||||
\(379\) | − | 21.4907i | − | 1.10390i | −0.833876 | − | 0.551951i | \(-0.813883\pi\) | ||
0.833876 | − | 0.551951i | \(-0.186117\pi\) | |||||||
\(380\) | −5.31231 | + | 2.62484i | −0.272516 | + | 0.134652i | ||||
\(381\) | −13.2572 | + | 8.86412i | −0.679188 | + | 0.454122i | ||||
\(382\) | 0.479322 | + | 0.297805i | 0.0245242 | + | 0.0152370i | ||||
\(383\) | −4.25561 | −0.217452 | −0.108726 | − | 0.994072i | \(-0.534677\pi\) | ||||
−0.108726 | + | 0.994072i | \(0.534677\pi\) | |||||||
\(384\) | 6.95788 | + | 18.3191i | 0.355068 | + | 0.934841i | ||||
\(385\) | 0.529209 | − | 0.977221i | 0.0269710 | − | 0.0498038i | ||||
\(386\) | −10.8046 | − | 20.1951i | −0.549938 | − | 1.02791i | ||||
\(387\) | −4.97475 | − | 37.6075i | −0.252881 | − | 1.91170i | ||||
\(388\) | −19.3121 | + | 9.54223i | −0.980424 | + | 0.484433i | ||||
\(389\) | −9.32619 | −0.472857 | −0.236428 | − | 0.971649i | \(-0.575977\pi\) | ||||
−0.236428 | + | 0.971649i | \(0.575977\pi\) | |||||||
\(390\) | −6.87537 | + | 0.229860i | −0.348148 | + | 0.0116394i | ||||
\(391\) | 9.54621 | − | 16.5345i | 0.482773 | − | 0.836187i | ||||
\(392\) | 9.16248 | + | 17.5513i | 0.462775 | + | 0.886476i | ||||
\(393\) | −15.5371 | − | 23.2373i | −0.783742 | − | 1.17217i | ||||
\(394\) | −33.0918 | − | 1.07052i | −1.66714 | − | 0.0539319i | ||||
\(395\) | −1.23222 | + | 2.13426i | −0.0619996 | + | 0.107386i | ||||
\(396\) | −3.12041 | − | 1.53343i | −0.156807 | − | 0.0770577i | ||||
\(397\) | −6.08981 | + | 3.51595i | −0.305639 | + | 0.176461i | −0.644973 | − | 0.764205i | \(-0.723131\pi\) |
0.339334 | + | 0.940666i | \(0.389798\pi\) | |||||||
\(398\) | −9.12520 | + | 14.6872i | −0.457405 | + | 0.736201i | ||||
\(399\) | 10.8314 | + | 15.2807i | 0.542249 | + | 0.764992i | ||||
\(400\) | 17.7488 | + | 2.30878i | 0.887438 | + | 0.115439i | ||||
\(401\) | 5.80151 | 0.289714 | 0.144857 | − | 0.989453i | \(-0.453728\pi\) | ||||
0.144857 | + | 0.989453i | \(0.453728\pi\) | |||||||
\(402\) | −6.82608 | − | 3.64252i | −0.340454 | − | 0.181672i | ||||
\(403\) | − | 3.28812i | − | 0.163793i | ||||||
\(404\) | 1.23733 | − | 19.1041i | 0.0615595 | − | 0.950466i | ||||
\(405\) | 4.60730 | − | 4.61869i | 0.228938 | − | 0.229504i | ||||
\(406\) | 34.1958 | + | 0.173322i | 1.69711 | + | 0.00860182i | ||||
\(407\) | 1.74531 | − | 1.00766i | 0.0865119 | − | 0.0499477i | ||||
\(408\) | 0.566223 | − | 18.1089i | 0.0280322 | − | 0.896523i | ||||
\(409\) | −19.9649 | + | 11.5268i | −0.987202 | + | 0.569961i | −0.904437 | − | 0.426608i | \(-0.859709\pi\) |
−0.0827654 | + | 0.996569i | \(0.526375\pi\) | |||||||
\(410\) | 0.533947 | − | 0.859397i | 0.0263698 | − | 0.0424426i | ||||
\(411\) | 2.21188 | + | 3.30810i | 0.109104 | + | 0.163177i | ||||
\(412\) | 21.3575 | + | 1.38327i | 1.05221 | + | 0.0681490i | ||||
\(413\) | 1.02574 | − | 0.0279792i | 0.0504736 | − | 0.00137677i | ||||
\(414\) | 19.9595 | + | 9.01940i | 0.980957 | + | 0.443280i | ||||
\(415\) | −4.35139 | + | 2.51228i | −0.213601 | + | 0.123323i | ||||
\(416\) | −16.9690 | − | 13.8713i | −0.831971 | − | 0.680097i | ||||
\(417\) | −11.7693 | + | 0.775049i | −0.576345 | + | 0.0379543i | ||||
\(418\) | 2.95339 | − | 1.58009i | 0.144455 | − | 0.0772845i | ||||
\(419\) | −7.60902 | + | 13.1792i | −0.371725 | + | 0.643847i | −0.989831 | − | 0.142248i | \(-0.954567\pi\) |
0.618106 | + | 0.786095i | \(0.287900\pi\) | |||||||
\(420\) | 0.188326 | + | 6.64080i | 0.00918939 | + | 0.324038i | ||||
\(421\) | −3.47824 | − | 6.02448i | −0.169519 | − | 0.293615i | 0.768732 | − | 0.639571i | \(-0.220888\pi\) |
−0.938251 | + | 0.345956i | \(0.887555\pi\) | |||||||
\(422\) | 16.3823 | + | 10.1784i | 0.797478 | + | 0.495477i | ||||
\(423\) | 21.1665 | + | 27.5495i | 1.02915 | + | 1.33950i | ||||
\(424\) | 8.91305 | − | 12.4686i | 0.432856 | − | 0.605530i | ||||
\(425\) | −14.3311 | − | 8.27408i | −0.695162 | − | 0.401352i | ||||
\(426\) | −15.7294 | + | 9.79631i | −0.762090 | + | 0.474633i | ||||
\(427\) | 2.00954 | − | 1.23447i | 0.0972486 | − | 0.0597400i | ||||
\(428\) | 2.84872 | − | 1.40757i | 0.137698 | − | 0.0680375i | ||||
\(429\) | 3.88027 | − | 0.255529i | 0.187341 | − | 0.0123371i | ||||
\(430\) | 6.11492 | + | 11.4296i | 0.294888 | + | 0.551184i | ||||
\(431\) | −27.3227 | − | 15.7748i | −1.31609 | − | 0.759845i | −0.332993 | − | 0.942929i | \(-0.608059\pi\) |
−0.983097 | + | 0.183084i | \(0.941392\pi\) | |||||||
\(432\) | 20.7367 | − | 1.41062i | 0.997694 | − | 0.0678686i | ||||
\(433\) | − | 9.13238i | − | 0.438874i | −0.975627 | − | 0.219437i | \(-0.929578\pi\) | ||
0.975627 | − | 0.219437i | \(-0.0704221\pi\) | |||||||
\(434\) | −3.17540 | − | 0.0160945i | −0.152424 | − | 0.000772562i | ||||
\(435\) | 10.2927 | + | 5.07183i | 0.493495 | + | 0.243176i | ||||
\(436\) | −9.73104 | + | 14.5879i | −0.466032 | + | 0.698634i | ||||
\(437\) | −18.2737 | + | 10.5503i | −0.874149 | + | 0.504690i | ||||
\(438\) | −0.963555 | − | 28.8211i | −0.0460404 | − | 1.37712i | ||||
\(439\) | −11.0746 | + | 19.1817i | −0.528560 | + | 0.915492i | 0.470886 | + | 0.882194i | \(0.343934\pi\) |
−0.999445 | + | 0.0332980i | \(0.989399\pi\) | |||||||
\(440\) | 1.18246 | + | 0.115079i | 0.0563716 | + | 0.00548617i | ||||
\(441\) | 20.6376 | − | 3.88470i | 0.982741 | − | 0.184986i | ||||
\(442\) | 9.55919 | + | 17.8674i | 0.454684 | + | 0.849864i | ||||
\(443\) | −10.8147 | − | 6.24389i | −0.513824 | − | 0.296656i | 0.220580 | − | 0.975369i | \(-0.429205\pi\) |
−0.734404 | + | 0.678713i | \(0.762538\pi\) | |||||||
\(444\) | −6.01251 | + | 10.4400i | −0.285341 | + | 0.495462i | ||||
\(445\) | −0.994612 | − | 1.72272i | −0.0471491 | − | 0.0816647i | ||||
\(446\) | 11.1759 | + | 20.8892i | 0.529193 | + | 0.989131i | ||||
\(447\) | 11.4471 | + | 17.1203i | 0.541428 | + | 0.809763i | ||||
\(448\) | −13.4788 | + | 16.3193i | −0.636815 | + | 0.771016i | ||||
\(449\) | 23.2620 | 1.09780 | 0.548901 | − | 0.835888i | \(-0.315047\pi\) | ||||
0.548901 | + | 0.835888i | \(0.315047\pi\) | |||||||
\(450\) | 7.81748 | − | 17.2997i | 0.368519 | − | 0.815516i | ||||
\(451\) | −0.285964 | + | 0.495304i | −0.0134655 | + | 0.0233229i | ||||
\(452\) | 7.34794 | − | 11.0154i | 0.345618 | − | 0.518120i | ||||
\(453\) | −19.7859 | + | 13.2294i | −0.929624 | + | 0.621570i | ||||
\(454\) | 31.0514 | + | 1.00451i | 1.45731 | + | 0.0471440i | ||||
\(455\) | −3.88928 | − | 6.33122i | −0.182332 | − | 0.296812i | ||||
\(456\) | −10.5488 | + | 17.0194i | −0.493991 | + | 0.797007i | ||||
\(457\) | 2.65987 | − | 4.60703i | 0.124423 | − | 0.215508i | −0.797084 | − | 0.603868i | \(-0.793625\pi\) |
0.921507 | + | 0.388361i | \(0.126959\pi\) | |||||||
\(458\) | −0.173524 | + | 5.36397i | −0.00810826 | + | 0.250642i | ||||
\(459\) | −18.2026 | − | 6.16017i | −0.849626 | − | 0.287532i | ||||
\(460\) | −7.46861 | − | 0.483725i | −0.348226 | − | 0.0225538i | ||||
\(461\) | −7.88185 | + | 4.55059i | −0.367094 | + | 0.211942i | −0.672188 | − | 0.740380i | \(-0.734645\pi\) |
0.305094 | + | 0.952322i | \(0.401312\pi\) | |||||||
\(462\) | −0.227776 | − | 3.74850i | −0.0105971 | − | 0.174396i | ||||
\(463\) | −0.490550 | − | 0.283219i | −0.0227978 | − | 0.0131623i | 0.488558 | − | 0.872532i | \(-0.337523\pi\) |
−0.511356 | + | 0.859369i | \(0.670856\pi\) | |||||||
\(464\) | 14.0421 | + | 33.7529i | 0.651886 | + | 1.56694i | ||||
\(465\) | −0.955768 | − | 0.470966i | −0.0443227 | − | 0.0218405i | ||||
\(466\) | 13.8750 | + | 25.9343i | 0.642748 | + | 1.20138i | ||||
\(467\) | −4.77345 | − | 8.26785i | −0.220889 | − | 0.382591i | 0.734189 | − | 0.678945i | \(-0.237562\pi\) |
−0.955078 | + | 0.296354i | \(0.904229\pi\) | |||||||
\(468\) | −19.3109 | + | 12.9420i | −0.892644 | + | 0.598242i | ||||
\(469\) | −0.227871 | − | 8.35395i | −0.0105221 | − | 0.385750i | ||||
\(470\) | −10.0836 | − | 6.26501i | −0.465124 | − | 0.288983i | ||||
\(471\) | −19.1426 | − | 9.43274i | −0.882045 | − | 0.434638i | ||||
\(472\) | 0.453887 | + | 0.998670i | 0.0208918 | + | 0.0459675i | ||||
\(473\) | −3.66373 | − | 6.34576i | −0.168458 | − | 0.291778i | ||||
\(474\) | 0.278267 | + | 8.32329i | 0.0127812 | + | 0.382301i | ||||
\(475\) | 9.14438 | + | 15.8385i | 0.419573 | + | 0.726722i | ||||
\(476\) | 17.3017 | − | 9.14403i | 0.793020 | − | 0.419116i | ||||
\(477\) | −9.90427 | − | 12.8910i | −0.453485 | − | 0.590239i | ||||
\(478\) | −1.21266 | − | 0.753428i | −0.0554655 | − | 0.0344610i | ||||
\(479\) | 23.9234 | 1.09309 | 0.546545 | − | 0.837430i | \(-0.315943\pi\) | ||||
0.546545 | + | 0.837430i | \(0.315943\pi\) | |||||||
\(480\) | −6.46253 | + | 2.94560i | −0.294973 | + | 0.134448i | ||||
\(481\) | − | 13.4746i | − | 0.614391i | ||||||
\(482\) | 1.19021 | − | 36.7918i | 0.0542128 | − | 1.67582i | ||||
\(483\) | 2.19767 | + | 23.5554i | 0.0999976 | + | 1.07181i | ||||
\(484\) | 21.2838 | + | 1.37851i | 0.967447 | + | 0.0626593i | ||||
\(485\) | −3.90355 | − | 6.76115i | −0.177251 | − | 0.307008i | ||||
\(486\) | 4.96455 | − | 21.4791i | 0.225197 | − | 0.974313i | ||||
\(487\) | 13.0207 | + | 7.51748i | 0.590022 | + | 0.340650i | 0.765106 | − | 0.643904i | \(-0.222686\pi\) |
−0.175084 | + | 0.984553i | \(0.556020\pi\) | |||||||
\(488\) | 2.05110 | + | 1.46620i | 0.0928490 | + | 0.0663719i | ||||
\(489\) | −8.90217 | − | 4.38665i | −0.402570 | − | 0.198371i | ||||
\(490\) | −6.13322 | + | 3.72496i | −0.277071 | + | 0.168277i | ||||
\(491\) | 13.4272 | + | 7.75218i | 0.605960 | + | 0.349851i | 0.771383 | − | 0.636372i | \(-0.219566\pi\) |
−0.165423 | + | 0.986223i | \(0.552899\pi\) | |||||||
\(492\) | −0.00369647 | − | 3.41899i | −0.000166650 | − | 0.154140i | ||||
\(493\) | − | 33.7997i | − | 1.52226i | ||||||
\(494\) | 0.724106 | − | 22.3835i | 0.0325791 | − | 1.00708i | ||||
\(495\) | 0.481506 | − | 1.16449i | 0.0216421 | − | 0.0523400i | ||||
\(496\) | −1.30393 | − | 3.13427i | −0.0585483 | − | 0.140733i | ||||
\(497\) | −17.6002 | − | 9.53128i | −0.789475 | − | 0.427536i | ||||
\(498\) | −7.99353 | + | 14.9799i | −0.358199 | + | 0.671264i | ||||
\(499\) | − | 0.434299i | − | 0.0194419i | −0.999953 | − | 0.00972096i | \(-0.996906\pi\) | ||
0.999953 | − | 0.00972096i | \(-0.00309433\pi\) | |||||||
\(500\) | −0.887759 | + | 13.7068i | −0.0397018 | + | 0.612987i | ||||
\(501\) | −14.4997 | + | 0.954857i | −0.647800 | + | 0.0426599i | ||||
\(502\) | 26.0363 | + | 0.842273i | 1.16206 | + | 0.0375925i | ||||
\(503\) | −16.6525 | −0.742496 | −0.371248 | − | 0.928534i | \(-0.621070\pi\) | ||||
−0.371248 | + | 0.928534i | \(0.621070\pi\) | |||||||
\(504\) | 12.4038 | + | 18.7122i | 0.552508 | + | 0.833508i | ||||
\(505\) | 6.93844 | 0.308756 | ||||||||
\(506\) | 4.22848 | + | 0.136791i | 0.187979 | + | 0.00608110i | ||||
\(507\) | 1.53975 | − | 3.12474i | 0.0683827 | − | 0.138774i | ||||
\(508\) | 1.19019 | − | 18.3762i | 0.0528060 | − | 0.815313i | ||||
\(509\) | 11.3583i | 0.503446i | 0.967799 | + | 0.251723i | \(0.0809972\pi\) | ||||
−0.967799 | + | 0.251723i | \(0.919003\pi\) | |||||||
\(510\) | 6.56276 | − | 0.219408i | 0.290604 | − | 0.00971556i | ||||
\(511\) | 26.5400 | − | 16.3036i | 1.17406 | − | 0.721228i | ||||
\(512\) | −21.6758 | − | 6.49309i | −0.957944 | − | 0.286957i | ||||
\(513\) | 14.0180 | + | 15.9546i | 0.618909 | + | 0.704414i | ||||
\(514\) | −0.574573 | + | 17.7612i | −0.0253433 | + | 0.783411i | ||||
\(515\) | 7.75683i | 0.341807i | ||||||||
\(516\) | 37.9588 | + | 21.8608i | 1.67104 | + | 0.962369i | ||||
\(517\) | 5.81159 | + | 3.35532i | 0.255593 | + | 0.147567i | ||||
\(518\) | −13.0127 | − | 0.0659551i | −0.571746 | − | 0.00289790i | ||||
\(519\) | −2.03373 | − | 30.8827i | −0.0892709 | − | 1.35560i | ||||
\(520\) | 4.61939 | − | 6.46215i | 0.202574 | − | 0.283384i | ||||
\(521\) | −30.1497 | − | 17.4069i | −1.32088 | − | 0.762612i | −0.337013 | − | 0.941500i | \(-0.609417\pi\) |
−0.983869 | + | 0.178888i | \(0.942750\pi\) | |||||||
\(522\) | 38.5844 | − | 3.83933i | 1.68879 | − | 0.168043i | ||||
\(523\) | −11.7500 | − | 20.3516i | −0.513791 | − | 0.889912i | −0.999872 | − | 0.0159982i | \(-0.994907\pi\) |
0.486081 | − | 0.873914i | \(-0.338426\pi\) | |||||||
\(524\) | 32.2099 | + | 2.08616i | 1.40710 | + | 0.0911345i | ||||
\(525\) | 20.4164 | − | 1.90481i | 0.891045 | − | 0.0831328i | ||||
\(526\) | 0.454489 | − | 14.0491i | 0.0198167 | − | 0.612571i | ||||
\(527\) | 3.13861i | 0.136720i | ||||||||
\(528\) | 3.59738 | − | 1.78233i | 0.156556 | − | 0.0775659i | ||||
\(529\) | −3.65177 | −0.158772 | ||||||||
\(530\) | 4.71836 | + | 2.93154i | 0.204952 | + | 0.127338i | ||||
\(531\) | 1.15347 | − | 0.152582i | 0.0500563 | − | 0.00662148i | ||||
\(532\) | −21.6126 | − | 0.808844i | −0.937026 | − | 0.0350678i | ||||
\(533\) | 1.91199 | + | 3.31167i | 0.0828175 | + | 0.143444i | ||||
\(534\) | −5.93055 | − | 3.16465i | −0.256640 | − | 0.136948i | ||||
\(535\) | 0.575812 | + | 0.997335i | 0.0248945 | + | 0.0431186i | ||||
\(536\) | 8.13345 | − | 3.69658i | 0.351311 | − | 0.159668i | ||||
\(537\) | −2.86192 | − | 43.4589i | −0.123501 | − | 1.87539i | ||||
\(538\) | −8.60185 | − | 5.34437i | −0.370852 | − | 0.230412i | ||||
\(539\) | 3.39708 | − | 2.21664i | 0.146323 | − | 0.0954773i | ||||
\(540\) | 0.995937 | + | 7.46686i | 0.0428583 | + | 0.321323i | ||||
\(541\) | 3.83947 | + | 6.65016i | 0.165072 | + | 0.285913i | 0.936681 | − | 0.350184i | \(-0.113881\pi\) |
−0.771609 | + | 0.636097i | \(0.780548\pi\) | |||||||
\(542\) | 4.15124 | + | 7.75921i | 0.178311 | + | 0.333287i | ||||
\(543\) | −30.7934 | + | 20.5892i | −1.32147 | + | 0.883569i | ||||
\(544\) | 16.1974 | + | 13.2406i | 0.694458 | + | 0.567686i | ||||
\(545\) | −5.50400 | − | 3.17774i | −0.235766 | − | 0.136119i | ||||
\(546\) | −22.4666 | − | 11.2126i | −0.961482 | − | 0.479853i | ||||
\(547\) | 3.76933 | − | 2.17622i | 0.161165 | − | 0.0930485i | −0.417248 | − | 0.908792i | \(-0.637006\pi\) |
0.578413 | + | 0.815744i | \(0.303672\pi\) | |||||||
\(548\) | −4.58545 | − | 0.296989i | −0.195881 | − | 0.0126868i | ||||
\(549\) | 2.12058 | − | 1.62926i | 0.0905043 | − | 0.0695352i | ||||
\(550\) | 0.118562 | − | 3.66499i | 0.00505551 | − | 0.156276i | ||||
\(551\) | −18.6774 | + | 32.3503i | −0.795685 | + | 1.37817i | ||||
\(552\) | −22.2873 | + | 11.9549i | −0.948610 | + | 0.508834i | ||||
\(553\) | −7.66454 | + | 4.70834i | −0.325929 | + | 0.200219i | ||||
\(554\) | −37.0813 | − | 1.19958i | −1.57544 | − | 0.0509653i | ||||
\(555\) | −3.91672 | − | 1.93001i | −0.166256 | − | 0.0819244i | ||||
\(556\) | 7.55781 | − | 11.3300i | 0.320523 | − | 0.480499i | ||||
\(557\) | 16.1918 | − | 28.0450i | 0.686068 | − | 1.18830i | −0.287032 | − | 0.957921i | \(-0.592669\pi\) |
0.973100 | − | 0.230384i | \(-0.0739981\pi\) | |||||||
\(558\) | −3.58291 | + | 0.356517i | −0.151677 | + | 0.0150926i | ||||
\(559\) | −48.9923 | −2.07215 | ||||||||
\(560\) | −6.21801 | − | 4.49266i | −0.262759 | − | 0.189850i | ||||
\(561\) | −3.70384 | + | 0.243911i | −0.156376 | + | 0.0102979i | ||||
\(562\) | 5.72520 | + | 10.7012i | 0.241503 | + | 0.451401i | ||||
\(563\) | 7.52653 | + | 13.0363i | 0.317205 | + | 0.549416i | 0.979904 | − | 0.199471i | \(-0.0639223\pi\) |
−0.662699 | + | 0.748886i | \(0.730589\pi\) | |||||||
\(564\) | −40.1164 | + | 0.0433721i | −1.68920 | + | 0.00182629i | ||||
\(565\) | 4.15609 | + | 2.39952i | 0.174848 | + | 0.100949i | ||||
\(566\) | −19.1562 | − | 35.8054i | −0.805194 | − | 1.50501i | ||||
\(567\) | 22.8154 | − | 6.81597i | 0.958157 | − | 0.286244i | ||||
\(568\) | 2.07262 | − | 21.2966i | 0.0869652 | − | 0.893586i | ||||
\(569\) | 15.7256 | − | 27.2375i | 0.659252 | − | 1.14186i | −0.321558 | − | 0.946890i | \(-0.604207\pi\) |
0.980810 | − | 0.194967i | \(-0.0624601\pi\) | |||||||
\(570\) | −6.40257 | − | 3.41653i | −0.268174 | − | 0.143103i | ||||
\(571\) | 0.849545 | − | 0.490485i | 0.0355523 | − | 0.0205262i | −0.482118 | − | 0.876106i | \(-0.660133\pi\) |
0.517671 | + | 0.855580i | \(0.326799\pi\) | |||||||
\(572\) | −2.49177 | + | 3.73543i | −0.104186 | + | 0.156186i | ||||
\(573\) | 0.0454147 | + | 0.689633i | 0.00189723 | + | 0.0288098i | ||||
\(574\) | 3.20750 | − | 1.83024i | 0.133878 | − | 0.0763926i | ||||
\(575\) | 23.1001i | 0.963343i | ||||||||
\(576\) | −13.2751 | + | 19.9943i | −0.553128 | + | 0.833097i | ||||
\(577\) | −6.71704 | − | 3.87808i | −0.279634 | − | 0.161447i | 0.353624 | − | 0.935388i | \(-0.384949\pi\) |
−0.633258 | + | 0.773941i | \(0.718283\pi\) | |||||||
\(578\) | 2.21679 | + | 4.14348i | 0.0922064 | + | 0.172346i | ||||
\(579\) | 12.3990 | − | 25.1622i | 0.515285 | − | 1.04571i | ||||
\(580\) | −11.8786 | + | 5.86929i | −0.493232 | + | 0.243709i | ||||
\(581\) | −18.3328 | + | 0.500064i | −0.760573 | + | 0.0207462i | ||||
\(582\) | −23.2756 | − | 12.4203i | −0.964805 | − | 0.514837i | ||||
\(583\) | −2.71937 | − | 1.57003i | −0.112625 | − | 0.0650240i | ||||
\(584\) | 27.0889 | + | 19.3641i | 1.12095 | + | 0.801294i | ||||
\(585\) | −5.13311 | − | 6.68106i | −0.212228 | − | 0.276228i | ||||
\(586\) | −28.5650 | − | 17.7476i | −1.18001 | − | 0.733145i | ||||
\(587\) | −9.68642 | − | 16.7774i | −0.399801 | − | 0.692476i | 0.593900 | − | 0.804539i | \(-0.297588\pi\) |
−0.993701 | + | 0.112063i | \(0.964254\pi\) | |||||||
\(588\) | −10.9382 | + | 21.6416i | −0.451082 | + | 0.892483i | ||||
\(589\) | 1.73437 | − | 3.00402i | 0.0714635 | − | 0.123778i | ||||
\(590\) | −0.350560 | + | 0.187552i | −0.0144323 | + | 0.00772141i | ||||
\(591\) | −22.5389 | − | 33.7093i | −0.927126 | − | 1.38661i | ||||
\(592\) | −5.34350 | − | 12.8442i | −0.219616 | − | 0.527893i | ||||
\(593\) | 8.54276 | − | 4.93217i | 0.350809 | − | 0.202540i | −0.314232 | − | 0.949346i | \(-0.601747\pi\) |
0.665042 | + | 0.746806i | \(0.268414\pi\) | |||||||
\(594\) | −0.699160 | − | 4.20045i | −0.0286869 | − | 0.172346i | ||||
\(595\) | 3.71244 | + | 6.04335i | 0.152195 | + | 0.247753i | ||||
\(596\) | −23.7309 | − | 1.53700i | −0.972058 | − | 0.0629580i | ||||
\(597\) | −21.1314 | + | 1.39158i | −0.864851 | + | 0.0569535i | ||||
\(598\) | 14.9281 | − | 24.0271i | 0.610457 | − | 0.982541i | ||||
\(599\) | 26.7752 | − | 15.4587i | 1.09401 | − | 0.631625i | 0.159366 | − | 0.987220i | \(-0.449055\pi\) |
0.934640 | + | 0.355595i | \(0.115722\pi\) | |||||||
\(600\) | 10.3618 | + | 19.3173i | 0.423018 | + | 0.788625i | ||||
\(601\) | −13.3705 | + | 7.71949i | −0.545396 | + | 0.314885i | −0.747263 | − | 0.664528i | \(-0.768632\pi\) |
0.201867 | + | 0.979413i | \(0.435299\pi\) | |||||||
\(602\) | −0.239805 | + | 47.3128i | −0.00977374 | + | 1.92833i | ||||
\(603\) | −1.24267 | − | 9.39418i | −0.0506054 | − | 0.382561i | ||||
\(604\) | 1.77631 | − | 27.4258i | 0.0722770 | − | 1.11594i | ||||
\(605\) | 7.73009i | 0.314273i | ||||||||
\(606\) | 19.9024 | − | 12.3953i | 0.808479 | − | 0.503524i | ||||
\(607\) | −9.12660 | −0.370437 | −0.185219 | − | 0.982697i | \(-0.559299\pi\) | ||||
−0.185219 | + | 0.982697i | \(0.559299\pi\) | |||||||
\(608\) | −8.18616 | − | 21.6234i | −0.331993 | − | 0.876943i | ||||
\(609\) | 24.2196 | + | 34.1685i | 0.981430 | + | 1.38458i | ||||
\(610\) | −0.482240 | + | 0.776174i | −0.0195253 | + | 0.0314264i | ||||
\(611\) | 38.8570 | − | 22.4341i | 1.57199 | − | 0.907587i | ||||
\(612\) | 18.4328 | − | 12.3535i | 0.745102 | − | 0.499361i | ||||
\(613\) | −10.5959 | + | 18.3526i | −0.427963 | + | 0.741253i | −0.996692 | − | 0.0812716i | \(-0.974102\pi\) |
0.568729 | + | 0.822525i | \(0.307435\pi\) | |||||||
\(614\) | −17.5919 | − | 0.569097i | −0.709951 | − | 0.0229669i | ||||
\(615\) | 1.23647 | − | 0.0814261i | 0.0498594 | − | 0.00328342i | ||||
\(616\) | 3.59518 | + | 2.42463i | 0.144854 | + | 0.0976911i | ||||
\(617\) | −1.36130 | + | 2.35785i | −0.0548040 | + | 0.0949233i | −0.892126 | − | 0.451787i | \(-0.850787\pi\) |
0.837322 | + | 0.546710i | \(0.184120\pi\) | |||||||
\(618\) | 13.8573 | + | 22.2499i | 0.557423 | + | 0.895021i | ||||
\(619\) | −19.5491 | −0.785746 | −0.392873 | − | 0.919593i | \(-0.628519\pi\) | ||||
−0.392873 | + | 0.919593i | \(0.628519\pi\) | |||||||
\(620\) | 1.10304 | − | 0.545017i | 0.0442990 | − | 0.0218884i | ||||
\(621\) | 5.25772 | + | 26.3050i | 0.210985 | + | 1.05558i | ||||
\(622\) | 18.5124 | + | 34.6022i | 0.742281 | + | 1.38742i | ||||
\(623\) | −0.197976 | − | 7.25798i | −0.00793173 | − | 0.290785i | ||||
\(624\) | 1.70595 | − | 26.7886i | 0.0682928 | − | 1.07240i | ||||
\(625\) | 17.3947 | 0.695788 | ||||||||
\(626\) | −30.0851 | − | 18.6920i | −1.20244 | − | 0.747082i | ||||
\(627\) | 3.67979 | + | 1.81326i | 0.146957 | + | 0.0724146i | ||||
\(628\) | 22.0922 | − | 10.9159i | 0.881574 | − | 0.435591i | ||||
\(629\) | 12.8620i | 0.512840i | ||||||||
\(630\) | −6.47715 | + | 4.92444i | −0.258056 | + | 0.196194i | ||||
\(631\) | 47.6971i | 1.89879i | 0.314080 | + | 0.949396i | \(0.398304\pi\) | ||||
−0.314080 | + | 0.949396i | \(0.601696\pi\) | |||||||
\(632\) | −7.82304 | − | 5.59221i | −0.311184 | − | 0.222446i | ||||
\(633\) | 1.55219 | + | 23.5703i | 0.0616940 | + | 0.936837i | ||||
\(634\) | 14.3060 | − | 23.0258i | 0.568164 | − | 0.914470i | ||||
\(635\) | 6.67407 | 0.264852 | ||||||||
\(636\) | 18.7713 | − | 0.0202948i | 0.744332 | − | 0.000804740i | ||||
\(637\) | −1.47846 | − | 27.0807i | −0.0585787 | − | 1.07298i | ||||
\(638\) | 6.60393 | − | 3.53316i | 0.261452 | − | 0.139879i | ||||
\(639\) | −20.9730 | − | 8.67212i | −0.829678 | − | 0.343064i | ||||
\(640\) | 1.84063 | − | 7.99166i | 0.0727571 | − | 0.315898i | ||||
\(641\) | −7.82329 | −0.309001 | −0.154501 | − | 0.987993i | \(-0.549377\pi\) | ||||
−0.154501 | + | 0.987993i | \(0.549377\pi\) | |||||||
\(642\) | 3.43338 | + | 1.83211i | 0.135505 | + | 0.0723077i | ||||
\(643\) | 20.8295 | − | 36.0777i | 0.821435 | − | 1.42277i | −0.0831794 | − | 0.996535i | \(-0.526507\pi\) |
0.904614 | − | 0.426232i | \(-0.140159\pi\) | |||||||
\(644\) | −23.1303 | − | 14.5340i | −0.911463 | − | 0.572719i | ||||
\(645\) | −7.01730 | + | 14.2408i | −0.276306 | + | 0.560730i | ||||
\(646\) | −0.691182 | + | 21.3658i | −0.0271942 | + | 0.840624i | ||||
\(647\) | −9.38911 | + | 16.2624i | −0.369124 | + | 0.639342i | −0.989429 | − | 0.145019i | \(-0.953676\pi\) |
0.620305 | + | 0.784361i | \(0.287009\pi\) | |||||||
\(648\) | 16.1961 | + | 19.6389i | 0.636242 | + | 0.771490i | ||||
\(649\) | 0.194632 | − | 0.112371i | 0.00763999 | − | 0.00441095i | ||||
\(650\) | −20.8252 | − | 12.9388i | −0.816833 | − | 0.507502i | ||||
\(651\) | −2.24902 | − | 3.17286i | −0.0881459 | − | 0.124354i | ||||
\(652\) | 10.2739 | − | 5.07638i | 0.402355 | − | 0.198806i | ||||
\(653\) | 0.900784 | 0.0352504 | 0.0176252 | − | 0.999845i | \(-0.494389\pi\) | ||||
0.0176252 | + | 0.999845i | \(0.494389\pi\) | |||||||
\(654\) | −21.4647 | + | 0.717616i | −0.839338 | + | 0.0280610i | ||||
\(655\) | 11.6983i | 0.457092i | ||||||||
\(656\) | 3.13580 | + | 2.39850i | 0.122433 | + | 0.0936456i | ||||
\(657\) | 28.0065 | − | 21.5176i | 1.09264 | − | 0.839483i | ||||
\(658\) | −21.4749 | − | 37.6348i | −0.837177 | − | 1.46716i | ||||
\(659\) | 11.5880 | − | 6.69033i | 0.451404 | − | 0.260618i | −0.257019 | − | 0.966406i | \(-0.582740\pi\) |
0.708423 | + | 0.705788i | \(0.249407\pi\) | |||||||
\(660\) | 0.728889 | + | 1.25933i | 0.0283720 | + | 0.0490192i | ||||
\(661\) | 1.46411 | − | 0.845304i | 0.0569473 | − | 0.0328785i | −0.471256 | − | 0.881996i | \(-0.656199\pi\) |
0.528203 | + | 0.849118i | \(0.322866\pi\) | |||||||
\(662\) | −9.31713 | − | 5.78878i | −0.362121 | − | 0.224987i | ||||
\(663\) | −10.9698 | + | 22.2619i | −0.426033 | + | 0.864582i | ||||
\(664\) | −8.11218 | − | 17.8489i | −0.314814 | − | 0.692672i | ||||
\(665\) | −0.213733 | − | 7.83566i | −0.00828822 | − | 0.303854i | ||||
\(666\) | −14.6827 | + | 1.46100i | −0.568944 | + | 0.0566127i | ||||
\(667\) | −40.8609 | + | 23.5911i | −1.58214 | + | 0.913450i | ||||
\(668\) | 9.31119 | − | 13.9585i | 0.360261 | − | 0.540071i | ||||
\(669\) | −12.8251 | + | 26.0270i | −0.495847 | + | 1.00626i | ||||
\(670\) | 1.52748 | + | 2.85506i | 0.0590117 | + | 0.110301i | ||||
\(671\) | 0.258271 | − | 0.447339i | 0.00997045 | − | 0.0172693i | ||||
\(672\) | −25.8619 | − | 1.77859i | −0.997644 | − | 0.0686108i | ||||
\(673\) | 12.6580 | + | 21.9243i | 0.487930 | + | 0.845119i | 0.999904 | − | 0.0138817i | \(-0.00441883\pi\) |
−0.511974 | + | 0.859001i | \(0.671085\pi\) | |||||||
\(674\) | 25.1597 | − | 40.4949i | 0.969115 | − | 1.55981i | ||||
\(675\) | 22.7996 | − | 4.55708i | 0.877557 | − | 0.175402i | ||||
\(676\) | 1.78185 | + | 3.60621i | 0.0685327 | + | 0.138700i | ||||
\(677\) | 28.5659 | + | 16.4925i | 1.09788 | + | 0.633859i | 0.935662 | − | 0.352897i | \(-0.114803\pi\) |
0.162213 | + | 0.986756i | \(0.448137\pi\) | |||||||
\(678\) | 16.2081 | − | 0.541874i | 0.622469 | − | 0.0208106i | ||||
\(679\) | −0.776996 | − | 28.4854i | −0.0298184 | − | 1.09317i | ||||
\(680\) | −4.40935 | + | 6.16833i | −0.169091 | + | 0.236544i | ||||
\(681\) | 21.1491 | + | 31.6308i | 0.810437 | + | 1.21209i | ||||
\(682\) | −0.613236 | + | 0.328086i | −0.0234820 | + | 0.0125631i | ||||
\(683\) | −5.67586 | − | 3.27696i | −0.217181 | − | 0.125389i | 0.387463 | − | 0.921885i | \(-0.373351\pi\) |
−0.604644 | + | 0.796496i | \(0.706685\pi\) | |||||||
\(684\) | −24.4688 | + | 1.63793i | −0.935588 | + | 0.0626277i | ||||
\(685\) | − | 1.66539i | − | 0.0636314i | ||||||
\(686\) | −26.1596 | + | 1.29522i | −0.998777 | + | 0.0494518i | ||||
\(687\) | −5.46407 | + | 3.65341i | −0.208467 | + | 0.139386i | ||||
\(688\) | −46.7000 | + | 19.4284i | −1.78042 | + | 0.740699i | ||||
\(689\) | −18.1821 | + | 10.4974i | −0.692682 | + | 0.399920i | ||||
\(690\) | −4.84584 | − | 7.78068i | −0.184478 | − | 0.296205i | ||||
\(691\) | 0.205384 | − | 0.355736i | 0.00781318 | − | 0.0135328i | −0.862092 | − | 0.506751i | \(-0.830846\pi\) |
0.869906 | + | 0.493218i | \(0.164180\pi\) | |||||||
\(692\) | 29.7299 | + | 19.8317i | 1.13016 | + | 0.753889i | ||||
\(693\) | 3.56947 | − | 2.90061i | 0.135593 | − | 0.110185i | ||||
\(694\) | −1.07483 | + | 0.575041i | −0.0407999 | + | 0.0218283i | ||||
\(695\) | 4.27480 | + | 2.46806i | 0.162152 | + | 0.0936187i | ||||
\(696\) | −23.5876 | + | 38.0563i | −0.894085 | + | 1.44252i | ||||
\(697\) | −1.82506 | − | 3.16109i | −0.0691289 | − | 0.119735i | ||||
\(698\) | 42.8417 | − | 22.9206i | 1.62158 | − | 0.867558i | ||||
\(699\) | −15.9226 | + | 32.3129i | −0.602247 | + | 1.22219i | ||||
\(700\) | −12.5972 | + | 20.0480i | −0.476129 | + | 0.757743i | ||||
\(701\) | 17.5496 | 0.662841 | 0.331420 | − | 0.943483i | \(-0.392472\pi\) | ||||
0.331420 | + | 0.943483i | \(0.392472\pi\) | |||||||
\(702\) | −26.6594 | − | 9.99398i | −1.00620 | − | 0.377198i | ||||
\(703\) | 7.10742 | − | 12.3104i | 0.268061 | − | 0.464296i | ||||
\(704\) | −0.893857 | + | 4.54879i | −0.0336885 | + | 0.171439i | ||||
\(705\) | −0.955403 | − | 14.5080i | −0.0359826 | − | 0.546403i | ||||
\(706\) | −1.21169 | + | 37.4558i | −0.0456027 | + | 1.40967i | ||||
\(707\) | 22.2695 | + | 12.0599i | 0.837531 | + | 0.453560i | ||||
\(708\) | −0.670499 | + | 1.16424i | −0.0251989 | + | 0.0437549i | ||||
\(709\) | 8.42157 | − | 14.5866i | 0.316279 | − | 0.547811i | −0.663430 | − | 0.748238i | \(-0.730900\pi\) |
0.979708 | + | 0.200428i | \(0.0642332\pi\) | |||||||
\(710\) | 7.75097 | + | 0.250744i | 0.290889 | + | 0.00941024i | ||||
\(711\) | −8.08805 | + | 6.21412i | −0.303326 | + | 0.233048i | ||||
\(712\) | 7.06640 | − | 3.21162i | 0.264825 | − | 0.120361i | ||||
\(713\) | 3.79431 | − | 2.19065i | 0.142098 | − | 0.0820404i | ||||
\(714\) | 21.4451 | + | 10.7027i | 0.802562 | + | 0.400540i | ||||
\(715\) | −1.40938 | − | 0.813704i | −0.0527077 | − | 0.0304308i | ||||
\(716\) | 41.8368 | + | 27.9077i | 1.56351 | + | 1.04296i | ||||
\(717\) | −0.114896 | − | 1.74473i | −0.00429089 | − | 0.0651581i | ||||
\(718\) | −29.7781 | + | 15.9315i | −1.11131 | + | 0.594559i | ||||
\(719\) | 15.7871 | + | 27.3440i | 0.588759 | + | 1.01976i | 0.994395 | + | 0.105726i | \(0.0337166\pi\) |
−0.405636 | + | 0.914035i | \(0.632950\pi\) | |||||||
\(720\) | −7.54238 | − | 4.33288i | −0.281088 | − | 0.161477i | ||||
\(721\) | −13.4824 | + | 24.8962i | −0.502111 | + | 0.927182i | ||||
\(722\) | −1.71231 | + | 2.75600i | −0.0637258 | + | 0.102568i | ||||
\(723\) | 37.4784 | − | 25.0590i | 1.39384 | − | 0.931954i | ||||
\(724\) | 2.76452 | − | 42.6836i | 0.102743 | − | 1.58632i | ||||
\(725\) | 20.4473 | + | 35.4158i | 0.759394 | + | 1.31531i | ||||
\(726\) | 13.8095 | + | 22.1732i | 0.512520 | + | 0.822923i | ||||
\(727\) | 14.8377 | + | 25.6997i | 0.550301 | + | 0.953150i | 0.998253 | + | 0.0590918i | \(0.0188205\pi\) |
−0.447951 | + | 0.894058i | \(0.647846\pi\) | |||||||
\(728\) | 26.0584 | − | 12.7117i | 0.965788 | − | 0.471127i | ||||
\(729\) | 24.9256 | − | 10.3786i | 0.923169 | − | 0.384394i | ||||
\(730\) | −6.36895 | + | 10.2509i | −0.235725 | + | 0.379404i | ||||
\(731\) | 46.7647 | 1.72965 | ||||||||
\(732\) | 0.00333851 | + | 3.08790i | 0.000123395 | + | 0.114132i | ||||
\(733\) | 15.8662i | 0.586033i | 0.956107 | + | 0.293016i | \(0.0946591\pi\) | ||||
−0.956107 | + | 0.293016i | \(0.905341\pi\) | |||||||
\(734\) | −2.17824 | − | 0.0704661i | −0.0804004 | − | 0.00260095i | ||||
\(735\) | −8.08340 | − | 3.44909i | −0.298161 | − | 0.127222i | ||||
\(736\) | 4.70150 | − | 28.8228i | 0.173300 | − | 1.06242i | ||||
\(737\) | −0.915182 | − | 1.58514i | −0.0337112 | − | 0.0583894i | ||||
\(738\) | 3.40126 | − | 2.44248i | 0.125202 | − | 0.0899090i | ||||
\(739\) | −0.242332 | − | 0.139910i | −0.00891432 | − | 0.00514668i | 0.495536 | − | 0.868587i | \(-0.334972\pi\) |
−0.504451 | + | 0.863441i | \(0.668305\pi\) | |||||||
\(740\) | 4.52023 | − | 2.23347i | 0.166167 | − | 0.0821041i | ||||
\(741\) | 22.8012 | − | 15.2455i | 0.837623 | − | 0.560056i | ||||
\(742\) | 10.0486 | + | 17.6101i | 0.368894 | + | 0.646489i | ||||
\(743\) | 8.28791 | + | 4.78503i | 0.304054 | + | 0.175546i | 0.644263 | − | 0.764804i | \(-0.277164\pi\) |
−0.340209 | + | 0.940350i | \(0.610498\pi\) | |||||||
\(744\) | 2.19032 | − | 3.53388i | 0.0803012 | − | 0.129558i | ||||
\(745\) | − | 8.61886i | − | 0.315770i | ||||||
\(746\) | −44.5936 | − | 1.44260i | −1.63269 | − | 0.0528173i | ||||
\(747\) | −20.6156 | + | 2.72705i | −0.754286 | + | 0.0997774i | ||||
\(748\) | 2.37847 | − | 3.56559i | 0.0869654 | − | 0.130371i | ||||
\(749\) | 0.114614 | + | 4.20187i | 0.00418792 | + | 0.153533i | ||||
\(750\) | −14.2795 | + | 8.89335i | −0.521415 | + | 0.324739i | ||||
\(751\) | − | 29.4817i | − | 1.07580i | −0.843007 | − | 0.537902i | \(-0.819217\pi\) | ||
0.843007 | − | 0.537902i | \(-0.180783\pi\) | |||||||
\(752\) | 28.1425 | − | 36.7936i | 1.02625 | − | 1.34172i | ||||
\(753\) | 17.7334 | + | 26.5221i | 0.646240 | + | 0.966521i | ||||
\(754\) | 1.61914 | − | 50.0507i | 0.0589656 | − | 1.82274i | ||||
\(755\) | 9.96081 | 0.362511 | ||||||||
\(756\) | −9.78186 | + | 25.6966i | −0.355763 | + | 0.934576i | ||||
\(757\) | 27.0636 | 0.983643 | 0.491821 | − | 0.870696i | \(-0.336331\pi\) | ||||
0.491821 | + | 0.870696i | \(0.336331\pi\) | |||||||
\(758\) | −0.982680 | + | 30.3765i | −0.0356926 | + | 1.10333i | ||||
\(759\) | 2.88002 | + | 4.30738i | 0.104538 | + | 0.156348i | ||||
\(760\) | 7.62883 | − | 3.46724i | 0.276727 | − | 0.125770i | ||||
\(761\) | − | 34.7896i | − | 1.26112i | −0.776140 | − | 0.630561i | \(-0.782825\pi\) | ||
0.776140 | − | 0.630561i | \(-0.217175\pi\) | |||||||
\(762\) | 19.1441 | − | 11.9230i | 0.693516 | − | 0.431925i | ||||
\(763\) | −12.1422 | − | 19.7659i | −0.439578 | − | 0.715574i | ||||
\(764\) | −0.663892 | − | 0.442857i | −0.0240188 | − | 0.0160220i | ||||
\(765\) | 4.89972 | + | 6.37728i | 0.177150 | + | 0.230571i | ||||
\(766\) | 6.01520 | + | 0.194591i | 0.217338 | + | 0.00703087i | ||||
\(767\) | − | 1.50266i | − | 0.0542578i | ||||||
\(768\) | −8.99712 | − | 26.2117i | −0.324656 | − | 0.945832i | ||||
\(769\) | −40.8103 | − | 23.5618i | −1.47166 | − | 0.849661i | −0.472164 | − | 0.881511i | \(-0.656527\pi\) |
−0.999493 | + | 0.0318496i | \(0.989860\pi\) | |||||||
\(770\) | −0.792707 | + | 1.35708i | −0.0285672 | + | 0.0489057i | ||||
\(771\) | −18.0926 | + | 12.0972i | −0.651589 | + | 0.435669i | ||||
\(772\) | 14.3485 | + | 29.0394i | 0.516415 | + | 1.04515i | ||||
\(773\) | 34.1954 | + | 19.7427i | 1.22992 | + | 0.710096i | 0.967014 | − | 0.254724i | \(-0.0819848\pi\) |
0.262909 | + | 0.964821i | \(0.415318\pi\) | |||||||
\(774\) | 5.31204 | + | 53.3847i | 0.190937 | + | 1.91887i | ||||
\(775\) | −1.89872 | − | 3.28868i | −0.0682041 | − | 0.118133i | ||||
\(776\) | 27.7335 | − | 12.6046i | 0.995575 | − | 0.452480i | ||||
\(777\) | −9.21643 | − | 13.0023i | −0.330638 | − | 0.466455i | ||||
\(778\) | 13.1823 | + | 0.426448i | 0.472609 | + | 0.0152889i | ||||
\(779\) | 4.03404i | 0.144535i | ||||||||
\(780\) | 9.72867 | − | 0.0105182i | 0.348342 | − | 0.000376613i | ||||
\(781\) | −4.38375 | −0.156863 | ||||||||
\(782\) | −14.2494 | + | 22.9346i | −0.509557 | + | 0.820140i | ||||
\(783\) | 31.3450 | + | 35.6754i | 1.12018 | + | 1.27493i | ||||
\(784\) | −12.1484 | − | 25.2273i | −0.433871 | − | 0.900975i | ||||
\(785\) | 4.46549 | + | 7.73445i | 0.159380 | + | 0.276055i | ||||
\(786\) | 20.8987 | + | 33.5558i | 0.745432 | + | 1.19690i | ||||
\(787\) | 15.5076 | + | 26.8600i | 0.552788 | + | 0.957456i | 0.998072 | + | 0.0620671i | \(0.0197693\pi\) |
−0.445284 | + | 0.895389i | \(0.646897\pi\) | |||||||
\(788\) | 46.7254 | + | 3.02630i | 1.66452 | + | 0.107807i | ||||
\(789\) | 14.3113 | − | 9.56889i | 0.509496 | − | 0.340662i | ||||
\(790\) | 1.83930 | − | 2.96038i | 0.0654393 | − | 0.105326i | ||||
\(791\) | 9.16864 | + | 14.9253i | 0.325999 | + | 0.530683i | ||||
\(792\) | 4.34051 | + | 2.31015i | 0.154233 | + | 0.0820875i | ||||
\(793\) | −1.72684 | − | 2.99097i | −0.0613217 | − | 0.106212i | ||||
\(794\) | 8.76856 | − | 4.69125i | 0.311184 | − | 0.166486i | ||||
\(795\) | 0.447054 | + | 6.78862i | 0.0158554 | + | 0.240768i | ||||
\(796\) | 13.5698 | − | 20.3427i | 0.480970 | − | 0.721027i | ||||
\(797\) | −8.30567 | − | 4.79528i | −0.294202 | − | 0.169857i | 0.345633 | − | 0.938370i | \(-0.387664\pi\) |
−0.639835 | + | 0.768512i | \(0.720997\pi\) | |||||||
\(798\) | −14.6112 | − | 22.0942i | −0.517231 | − | 0.782125i | ||||
\(799\) | −37.0903 | + | 21.4141i | −1.31216 | + | 0.757575i | ||||
\(800\) | −24.9818 | − | 4.07498i | −0.883242 | − | 0.144072i | ||||
\(801\) | −1.07964 | − | 8.16174i | −0.0381472 | − | 0.288381i | ||||
\(802\) | −8.20029 | − | 0.265279i | −0.289562 | − | 0.00936733i | ||||
\(803\) | 3.41099 | − | 5.90800i | 0.120371 | − | 0.208489i | ||||
\(804\) | 9.48192 | + | 5.46073i | 0.334402 | + | 0.192585i | ||||
\(805\) | 4.71473 | − | 8.70608i | 0.166173 | − | 0.306849i | ||||
\(806\) | −0.150352 | + | 4.64767i | −0.00529592 | + | 0.163707i | ||||
\(807\) | −0.815007 | − | 12.3761i | −0.0286896 | − | 0.435658i | ||||
\(808\) | −2.62249 | + | 26.9466i | −0.0922588 | + | 0.947979i | ||||
\(809\) | −7.65189 | + | 13.2535i | −0.269026 | + | 0.465967i | −0.968611 | − | 0.248583i | \(-0.920035\pi\) |
0.699584 | + | 0.714550i | \(0.253368\pi\) | |||||||
\(810\) | −6.72349 | + | 6.31772i | −0.236239 | + | 0.221982i | ||||
\(811\) | 7.91368 | 0.277887 | 0.138943 | − | 0.990300i | \(-0.455629\pi\) | ||||
0.138943 | + | 0.990300i | \(0.455629\pi\) | |||||||
\(812\) | −48.3270 | − | 1.80862i | −1.69594 | − | 0.0634701i | ||||
\(813\) | −4.76384 | + | 9.66763i | −0.167075 | + | 0.339059i | ||||
\(814\) | −2.51303 | + | 1.34449i | −0.0880816 | + | 0.0471244i | ||||
\(815\) | 2.07665 | + | 3.59687i | 0.0727420 | + | 0.125993i | ||||
\(816\) | −1.62839 | + | 25.5705i | −0.0570049 | + | 0.895148i | ||||
\(817\) | −44.7593 | − | 25.8418i | −1.56593 | − | 0.904090i | ||||
\(818\) | 28.7470 | − | 15.3799i | 1.00511 | − | 0.537744i | ||||
\(819\) | −4.86259 | − | 30.3655i | −0.169912 | − | 1.06105i | ||||
\(820\) | −0.794018 | + | 1.19032i | −0.0277283 | + | 0.0415678i | ||||
\(821\) | −12.5292 | + | 21.7011i | −0.437271 | + | 0.757375i | −0.997478 | − | 0.0709774i | \(-0.977388\pi\) |
0.560207 | + | 0.828352i | \(0.310721\pi\) | |||||||
\(822\) | −2.97517 | − | 4.77706i | −0.103771 | − | 0.166619i | ||||
\(823\) | −29.8939 | + | 17.2592i | −1.04204 | + | 0.601619i | −0.920409 | − | 0.390957i | \(-0.872144\pi\) |
−0.121626 | + | 0.992576i | \(0.538811\pi\) | |||||||
\(824\) | −30.1250 | − | 2.93181i | −1.04945 | − | 0.102134i | ||||
\(825\) | 3.73338 | − | 2.49623i | 0.129980 | − | 0.0869076i | ||||
\(826\) | −1.45114 | − | 0.00735513i | −0.0504917 | − | 0.000255918i | ||||
\(827\) | 22.6614i | 0.788016i | 0.919107 | + | 0.394008i | \(0.128912\pi\) | ||||
−0.919107 | + | 0.394008i | \(0.871088\pi\) | |||||||
\(828\) | −27.7998 | − | 13.6614i | −0.966111 | − | 0.474765i | ||||
\(829\) | 7.67197 | + | 4.42941i | 0.266458 | + | 0.153840i | 0.627277 | − | 0.778796i | \(-0.284169\pi\) |
−0.360819 | + | 0.932636i | \(0.617503\pi\) | |||||||
\(830\) | 6.26545 | − | 3.35207i | 0.217477 | − | 0.116352i | ||||
\(831\) | −25.2562 | − | 37.7733i | −0.876127 | − | 1.31034i | ||||
\(832\) | 23.3509 | + | 20.3827i | 0.809547 | + | 0.706641i | ||||
\(833\) | 1.41124 | + | 25.8494i | 0.0488964 | + | 0.895627i | ||||
\(834\) | 16.6710 | − | 0.557351i | 0.577271 | − | 0.0192995i | ||||
\(835\) | 5.26653 | + | 3.04063i | 0.182256 | + | 0.105225i | ||||
\(836\) | −4.24679 | + | 2.09836i | −0.146878 | + | 0.0725734i | ||||
\(837\) | −2.91067 | − | 3.31279i | −0.100607 | − | 0.114507i | ||||
\(838\) | 11.3578 | − | 18.2805i | 0.392348 | − | 0.631491i | ||||
\(839\) | 15.4881 | + | 26.8261i | 0.534707 | + | 0.926140i | 0.999177 | + | 0.0405511i | \(0.0129114\pi\) |
−0.464470 | + | 0.885589i | \(0.653755\pi\) | |||||||
\(840\) | 0.0374618 | − | 9.39522i | 0.00129256 | − | 0.324166i | ||||
\(841\) | −27.2637 | + | 47.2222i | −0.940129 | + | 1.62835i | ||||
\(842\) | 4.64092 | + | 8.67449i | 0.159937 | + | 0.298943i | ||||
\(843\) | −6.57007 | + | 13.3332i | −0.226285 | + | 0.459219i | ||||
\(844\) | −22.6906 | − | 15.1360i | −0.781041 | − | 0.521003i | ||||
\(845\) | −1.26253 | + | 0.728922i | −0.0434324 | + | 0.0250757i | ||||
\(846\) | −28.6586 | − | 39.9083i | −0.985302 | − | 1.37208i | ||||
\(847\) | −13.4359 | + | 24.8104i | −0.461664 | + | 0.852494i | ||||
\(848\) | −13.1685 | + | 17.2165i | −0.452208 | + | 0.591218i | ||||
\(849\) | 21.9831 | − | 44.6119i | 0.754456 | − | 1.53108i | ||||
\(850\) | 19.8783 | + | 12.3505i | 0.681821 | + | 0.423619i | ||||
\(851\) | 15.5490 | − | 8.97723i | 0.533014 | − | 0.307736i | ||||
\(852\) | 22.6810 | − | 13.1276i | 0.777038 | − | 0.449744i | ||||
\(853\) | 7.55084 | − | 4.35948i | 0.258536 | − | 0.149266i | −0.365131 | − | 0.930956i | \(-0.618976\pi\) |
0.623666 | + | 0.781691i | \(0.285642\pi\) | |||||||
\(854\) | −2.89688 | + | 1.65300i | −0.0991294 | + | 0.0565644i | ||||
\(855\) | −1.16557 | − | 8.81135i | −0.0398617 | − | 0.301342i | ||||
\(856\) | −4.09096 | + | 1.85931i | −0.139826 | + | 0.0635498i | ||||
\(857\) | 46.1822i | 1.57755i | 0.614681 | + | 0.788776i | \(0.289285\pi\) | ||||
−0.614681 | + | 0.788776i | \(0.710715\pi\) | |||||||
\(858\) | −5.49634 | + | 0.183755i | −0.187642 | + | 0.00627330i | ||||
\(859\) | −30.8054 | −1.05107 | −0.525534 | − | 0.850773i | \(-0.676134\pi\) | ||||
−0.525534 | + | 0.850773i | \(0.676134\pi\) | |||||||
\(860\) | −8.12066 | − | 16.4350i | −0.276912 | − | 0.560430i | ||||
\(861\) | 4.11009 | + | 1.88781i | 0.140072 | + | 0.0643364i | ||||
\(862\) | 37.8987 | + | 23.5466i | 1.29083 | + | 0.802001i | ||||
\(863\) | −12.2843 | + | 7.09233i | −0.418161 | + | 0.241426i | −0.694290 | − | 0.719695i | \(-0.744282\pi\) |
0.276129 | + | 0.961121i | \(0.410948\pi\) | |||||||
\(864\) | −29.3753 | + | 1.04568i | −0.999367 | + | 0.0355747i | ||||
\(865\) | −6.47619 | + | 11.2171i | −0.220197 | + | 0.381392i | ||||
\(866\) | −0.417586 | + | 12.9084i | −0.0141901 | + | 0.438645i | ||||
\(867\) | −2.54393 | + | 5.16259i | −0.0863962 | + | 0.175331i | ||||
\(868\) | 4.48760 | + | 0.167947i | 0.152319 | + | 0.00570049i | ||||
\(869\) | −0.985065 | + | 1.70618i | −0.0334160 | + | 0.0578783i | ||||
\(870\) | −14.3165 | − | 7.63954i | −0.485375 | − | 0.259005i | ||||
\(871\) | −12.2381 | −0.414671 | ||||||||
\(872\) | 14.4216 | − | 20.1747i | 0.488377 | − | 0.683200i | ||||
\(873\) | −4.23726 | − | 32.0324i | −0.143410 | − | 1.08413i | ||||
\(874\) | 26.3118 | − | 14.0770i | 0.890010 | − | 0.476162i | ||||
\(875\) | −15.9779 | − | 8.65275i | −0.540151 | − | 0.292516i | ||||
\(876\) | 0.0440916 | + | 40.7819i | 0.00148972 | + | 1.37789i | ||||
\(877\) | −34.8503 | −1.17681 | −0.588405 | − | 0.808566i | \(-0.700244\pi\) | ||||
−0.588405 | + | 0.808566i | \(0.700244\pi\) | |||||||
\(878\) | 16.5307 | − | 26.6064i | 0.557884 | − | 0.897924i | ||||
\(879\) | −2.70647 | − | 41.0984i | −0.0912871 | − | 1.38621i | ||||
\(880\) | −1.66611 | − | 0.216730i | −0.0561647 | − | 0.00730597i | ||||
\(881\) | − | 23.0498i | − | 0.776567i | −0.921540 | − | 0.388283i | \(-0.873068\pi\) | ||
0.921540 | − | 0.388283i | \(-0.126932\pi\) | |||||||
\(882\) | −29.3483 | + | 4.54726i | −0.988209 | + | 0.153114i | ||||
\(883\) | 1.28738i | 0.0433239i | 0.999765 | + | 0.0216620i | \(0.00689576\pi\) | ||||
−0.999765 | + | 0.0216620i | \(0.993104\pi\) | |||||||
\(884\) | −12.6947 | − | 25.6922i | −0.426968 | − | 0.864121i | ||||
\(885\) | −0.436782 | − | 0.215230i | −0.0146823 | − | 0.00723486i | ||||
\(886\) | 15.0008 | + | 9.32009i | 0.503963 | + | 0.313115i | ||||
\(887\) | −5.02232 | −0.168633 | −0.0843165 | − | 0.996439i | \(-0.526871\pi\) | ||||
−0.0843165 | + | 0.996439i | \(0.526871\pi\) | |||||||
\(888\) | 8.97591 | − | 14.4818i | 0.301212 | − | 0.485977i | ||||
\(889\) | 21.4210 | + | 11.6004i | 0.718437 | + | 0.389066i | ||||
\(890\) | 1.32709 | + | 2.48050i | 0.0444840 | + | 0.0831465i | ||||
\(891\) | 3.68319 | − | 3.69229i | 0.123391 | − | 0.123696i | ||||
\(892\) | −14.8416 | − | 30.0373i | −0.496935 | − | 1.00572i | ||||
\(893\) | 47.3330 | 1.58394 | ||||||||
\(894\) | −15.3973 | − | 24.7225i | −0.514963 | − | 0.826845i | ||||
\(895\) | −9.11347 | + | 15.7850i | −0.304630 | + | 0.527634i | ||||
\(896\) | 19.7982 | − | 22.4506i | 0.661412 | − | 0.750023i | ||||
\(897\) | 34.5694 | − | 2.27651i | 1.15424 | − | 0.0760106i | ||||
\(898\) | −32.8802 | − | 1.06367i | −1.09723 | − | 0.0354953i | ||||
\(899\) | 3.87815 | − | 6.71714i | 0.129343 | − | 0.224029i | ||||
\(900\) | −11.8408 | + | 24.0952i | −0.394695 | + | 0.803174i | ||||
\(901\) | 17.3554 | − | 10.0201i | 0.578191 | − | 0.333819i | ||||
\(902\) | 0.426851 | − | 0.687023i | 0.0142126 | − | 0.0228754i | ||||
\(903\) | −47.2750 | + | 33.5099i | −1.57321 | + | 1.11514i | ||||
\(904\) | −10.8898 | + | 15.2340i | −0.362190 | + | 0.506674i | ||||
\(905\) | 15.5023 | 0.515313 | ||||||||
\(906\) | 28.5718 | − | 17.7946i | 0.949235 | − | 0.591188i | ||||
\(907\) | − | 27.6614i | − | 0.918483i | −0.888311 | − | 0.459242i | \(-0.848121\pi\) | ||
0.888311 | − | 0.459242i | \(-0.151879\pi\) | |||||||
\(908\) | −43.8443 | − | 2.83970i | −1.45503 | − | 0.0942387i | ||||
\(909\) | 26.5371 | + | 10.9728i | 0.880181 | + | 0.363946i | ||||
\(910\) | 5.20790 | + | 9.12686i | 0.172640 | + | 0.302552i | ||||
\(911\) | −9.94522 | + | 5.74187i | −0.329500 | + | 0.190237i | −0.655619 | − | 0.755092i | \(-0.727592\pi\) |
0.326119 | + | 0.945329i | \(0.394259\pi\) | |||||||
\(912\) | 15.6886 | − | 23.5742i | 0.519502 | − | 0.780618i | ||||
\(913\) | −3.47861 | + | 2.00837i | −0.115125 | + | 0.0664675i | ||||
\(914\) | −3.97032 | + | 6.39029i | −0.131326 | + | 0.211372i | ||||
\(915\) | −1.11673 | + | 0.0735408i | −0.0369181 | + | 0.00243118i | ||||
\(916\) | 0.490544 | − | 7.57390i | 0.0162080 | − | 0.250249i | ||||
\(917\) | −20.3333 | + | 37.5468i | −0.671464 | + | 1.23991i | ||||
\(918\) | 25.4473 | + | 9.53956i | 0.839885 | + | 0.314853i | ||||
\(919\) | 23.5746 | − | 13.6108i | 0.777656 | − | 0.448980i | −0.0579432 | − | 0.998320i | \(-0.518454\pi\) |
0.835599 | + | 0.549340i | \(0.185121\pi\) | |||||||
\(920\) | 10.5346 | + | 1.02524i | 0.347314 | + | 0.0338012i | ||||
\(921\) | −11.9819 | − | 17.9202i | −0.394816 | − | 0.590490i | ||||
\(922\) | 11.3489 | − | 6.07174i | 0.373755 | − | 0.199962i | ||||
\(923\) | −14.6551 | + | 25.3835i | −0.482380 | + | 0.835507i | ||||
\(924\) | 0.150553 | + | 5.30882i | 0.00495282 | + | 0.174647i | ||||
\(925\) | −7.78093 | − | 13.4770i | −0.255835 | − | 0.443120i | ||||
\(926\) | 0.680430 | + | 0.422754i | 0.0223603 | + | 0.0138926i | ||||
\(927\) | −12.2671 | + | 29.6672i | −0.402904 | + | 0.974398i | ||||
\(928\) | −18.3047 | − | 48.3510i | −0.600881 | − | 1.58720i | ||||
\(929\) | −24.2654 | − | 14.0097i | −0.796123 | − | 0.459642i | 0.0459904 | − | 0.998942i | \(-0.485356\pi\) |
−0.842114 | + | 0.539300i | \(0.818689\pi\) | |||||||
\(930\) | 1.32942 | + | 0.709401i | 0.0435933 | + | 0.0232622i | ||||
\(931\) | 12.9334 | − | 25.5207i | 0.423876 | − | 0.836407i | ||||
\(932\) | −18.4261 | − | 37.2918i | −0.603568 | − | 1.22153i | ||||
\(933\) | −21.2443 | + | 43.1127i | −0.695507 | + | 1.41145i | ||||
\(934\) | 6.36909 | + | 11.9047i | 0.208403 | + | 0.389533i | ||||
\(935\) | 1.34529 | + | 0.776706i | 0.0439958 | + | 0.0254010i | ||||
\(936\) | 27.8872 | − | 17.4101i | 0.911521 | − | 0.569067i | ||||
\(937\) | − | 7.31723i | − | 0.239043i | −0.992832 | − | 0.119522i | \(-0.961864\pi\) | ||
0.992832 | − | 0.119522i | \(-0.0381361\pi\) | |||||||
\(938\) | −0.0599023 | + | 11.8185i | −0.00195588 | + | 0.385888i | ||||
\(939\) | −2.85049 | − | 43.2854i | −0.0930224 | − | 1.41257i | ||||
\(940\) | 13.9665 | + | 9.31651i | 0.455537 | + | 0.303871i | ||||
\(941\) | 15.0434 | − | 8.68531i | 0.490401 | − | 0.283133i | −0.234340 | − | 0.972155i | \(-0.575293\pi\) |
0.724741 | + | 0.689022i | \(0.241960\pi\) | |||||||
\(942\) | 26.6263 | + | 14.2083i | 0.867530 | + | 0.462930i | ||||
\(943\) | −2.54766 | + | 4.41267i | −0.0829631 | + | 0.143696i | ||||
\(944\) | −0.595892 | − | 1.43235i | −0.0193946 | − | 0.0466190i | ||||
\(945\) | −9.52291 | − | 2.93590i | −0.309780 | − | 0.0955049i | ||||
\(946\) | 4.88842 | + | 9.13710i | 0.158936 | + | 0.297073i | ||||
\(947\) | −34.0518 | − | 19.6598i | −1.10654 | − | 0.638858i | −0.168605 | − | 0.985684i | \(-0.553926\pi\) |
−0.937930 | + | 0.346825i | \(0.887260\pi\) | |||||||
\(948\) | −0.0127333 | − | 11.7775i | −0.000413558 | − | 0.382515i | ||||
\(949\) | −22.8063 | − | 39.5017i | −0.740324 | − | 1.28228i | ||||
\(950\) | −12.2011 | − | 22.8055i | −0.395856 | − | 0.739908i | ||||
\(951\) | 33.1287 | − | 2.18164i | 1.07427 | − | 0.0707446i | ||||
\(952\) | −24.8736 | + | 12.1337i | −0.806157 | + | 0.393256i | ||||
\(953\) | −33.5157 | −1.08568 | −0.542840 | − | 0.839836i | \(-0.682651\pi\) | ||||
−0.542840 | + | 0.839836i | \(0.682651\pi\) | |||||||
\(954\) | 13.4100 | + | 18.6740i | 0.434164 | + | 0.604593i | ||||
\(955\) | 0.144618 | − | 0.250486i | 0.00467973 | − | 0.00810553i | ||||
\(956\) | 1.67961 | + | 1.12040i | 0.0543223 | + | 0.0362363i | ||||
\(957\) | 8.22821 | + | 4.05454i | 0.265980 | + | 0.131065i | ||||
\(958\) | −33.8152 | − | 1.09392i | −1.09252 | − | 0.0353430i | ||||
\(959\) | 2.89468 | − | 5.34522i | 0.0934740 | − | 0.172606i | ||||
\(960\) | 9.26931 | − | 3.86802i | 0.299166 | − | 0.124840i | ||||
\(961\) | 15.1399 | − | 26.2230i | 0.488383 | − | 0.845904i | ||||
\(962\) | −0.616140 | + | 19.0461i | −0.0198651 | + | 0.614070i | ||||
\(963\) | 0.625037 | + | 4.72508i | 0.0201415 | + | 0.152264i | ||||
\(964\) | −3.36467 | + | 51.9499i | −0.108369 | + | 1.67319i | ||||
\(965\) | −10.1667 | + | 5.86972i | −0.327276 | + | 0.188953i | ||||
\(966\) | −2.02926 | − | 33.3955i | −0.0652905 | − | 1.07448i | ||||
\(967\) | 17.2860 | + | 9.98006i | 0.555879 | + | 0.320937i | 0.751490 | − | 0.659745i | \(-0.229336\pi\) |
−0.195611 | + | 0.980682i | \(0.562669\pi\) | |||||||
\(968\) | −30.0211 | − | 2.92170i | −0.964915 | − | 0.0939071i | ||||
\(969\) | −21.7645 | + | 14.5523i | −0.699175 | + | 0.467486i | ||||
\(970\) | 5.20841 | + | 9.73521i | 0.167232 | + | 0.312579i | ||||
\(971\) | −26.7791 | − | 46.3827i | −0.859381 | − | 1.48849i | −0.872520 | − | 0.488578i | \(-0.837516\pi\) |
0.0131389 | − | 0.999914i | \(-0.495818\pi\) | |||||||
\(972\) | −7.99941 | + | 30.1332i | −0.256581 | + | 0.966523i | ||||
\(973\) | 9.43052 | + | 15.3516i | 0.302329 | + | 0.492150i | ||||
\(974\) | −18.0606 | − | 11.2211i | −0.578700 | − | 0.359549i | ||||
\(975\) | −1.97315 | − | 29.9627i | −0.0631913 | − | 0.959573i | ||||
\(976\) | −2.83213 | − | 2.16623i | −0.0906544 | − | 0.0693393i | ||||
\(977\) | −23.0750 | − | 39.9671i | −0.738236 | − | 1.27866i | −0.953289 | − | 0.302059i | \(-0.902326\pi\) |
0.215054 | − | 0.976602i | \(-0.431007\pi\) | |||||||
\(978\) | 12.3824 | + | 6.60748i | 0.395946 | + | 0.211284i | ||||
\(979\) | −0.795117 | − | 1.37718i | −0.0254121 | − | 0.0440150i | ||||
\(980\) | 8.83947 | − | 4.98469i | 0.282367 | − | 0.159230i | ||||
\(981\) | −16.0254 | − | 20.8581i | −0.511653 | − | 0.665948i | ||||
\(982\) | −18.6245 | − | 11.5715i | −0.594331 | − | 0.369261i | ||||
\(983\) | 29.8119 | 0.950852 | 0.475426 | − | 0.879756i | \(-0.342294\pi\) | ||||
0.475426 | + | 0.879756i | \(0.342294\pi\) | |||||||
\(984\) | −0.151112 | + | 4.83283i | −0.00481726 | + | 0.154065i | ||||
\(985\) | 16.9702i | 0.540716i | ||||||||
\(986\) | −1.54552 | + | 47.7750i | −0.0492193 | + | 1.52147i | ||||
\(987\) | 22.1504 | − | 48.2253i | 0.705055 | − | 1.53503i | ||||
\(988\) | −2.04701 | + | 31.6054i | −0.0651240 | + | 1.00550i | ||||
\(989\) | −32.6402 | − | 56.5345i | −1.03790 | − | 1.79769i | ||||
\(990\) | −0.733843 | + | 1.62396i | −0.0233231 | + | 0.0516129i | ||||
\(991\) | 34.7638 | + | 20.0709i | 1.10431 | + | 0.637574i | 0.937350 | − | 0.348390i | \(-0.113271\pi\) |
0.166960 | + | 0.985964i | \(0.446605\pi\) | |||||||
\(992\) | 1.69976 | + | 4.48983i | 0.0539674 | + | 0.142552i | ||||
\(993\) | −0.882778 | − | 13.4052i | −0.0280141 | − | 0.425401i | ||||
\(994\) | 24.4415 | + | 14.2770i | 0.775239 | + | 0.452839i | ||||
\(995\) | 7.67527 | + | 4.43132i | 0.243323 | + | 0.140482i | ||||
\(996\) | 11.9836 | − | 20.8082i | 0.379716 | − | 0.659332i | ||||
\(997\) | − | 45.5952i | − | 1.44401i | −0.691886 | − | 0.722007i | \(-0.743220\pi\) | ||
0.691886 | − | 0.722007i | \(-0.256780\pi\) | |||||||
\(998\) | −0.0198587 | + | 0.613871i | −0.000628616 | + | 0.0194317i | ||||
\(999\) | −11.9279 | − | 13.5757i | −0.377381 | − | 0.429518i |
(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 | 252.2.n.b.31.1 | ✓ | 84 | |
3.2 | odd | 2 | 756.2.n.b.199.42 | 84 | |||
4.3 | odd | 2 | inner | 252.2.n.b.31.30 | yes | 84 | |
7.5 | odd | 6 | 252.2.bj.b.103.28 | yes | 84 | ||
9.2 | odd | 6 | 756.2.bj.b.451.15 | 84 | |||
9.7 | even | 3 | 252.2.bj.b.115.28 | yes | 84 | ||
12.11 | even | 2 | 756.2.n.b.199.13 | 84 | |||
21.5 | even | 6 | 756.2.bj.b.523.15 | 84 | |||
28.19 | even | 6 | 252.2.bj.b.103.27 | yes | 84 | ||
36.7 | odd | 6 | 252.2.bj.b.115.27 | yes | 84 | ||
36.11 | even | 6 | 756.2.bj.b.451.16 | 84 | |||
63.47 | even | 6 | 756.2.n.b.19.13 | 84 | |||
63.61 | odd | 6 | inner | 252.2.n.b.187.30 | yes | 84 | |
84.47 | odd | 6 | 756.2.bj.b.523.16 | 84 | |||
252.47 | odd | 6 | 756.2.n.b.19.42 | 84 | |||
252.187 | even | 6 | inner | 252.2.n.b.187.1 | yes | 84 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
252.2.n.b.31.1 | ✓ | 84 | 1.1 | even | 1 | trivial | |
252.2.n.b.31.30 | yes | 84 | 4.3 | odd | 2 | inner | |
252.2.n.b.187.1 | yes | 84 | 252.187 | even | 6 | inner | |
252.2.n.b.187.30 | yes | 84 | 63.61 | odd | 6 | inner | |
252.2.bj.b.103.27 | yes | 84 | 28.19 | even | 6 | ||
252.2.bj.b.103.28 | yes | 84 | 7.5 | odd | 6 | ||
252.2.bj.b.115.27 | yes | 84 | 36.7 | odd | 6 | ||
252.2.bj.b.115.28 | yes | 84 | 9.7 | even | 3 | ||
756.2.n.b.19.13 | 84 | 63.47 | even | 6 | |||
756.2.n.b.19.42 | 84 | 252.47 | odd | 6 | |||
756.2.n.b.199.13 | 84 | 12.11 | even | 2 | |||
756.2.n.b.199.42 | 84 | 3.2 | odd | 2 | |||
756.2.bj.b.451.15 | 84 | 9.2 | odd | 6 | |||
756.2.bj.b.451.16 | 84 | 36.11 | even | 6 | |||
756.2.bj.b.523.15 | 84 | 21.5 | even | 6 | |||
756.2.bj.b.523.16 | 84 | 84.47 | odd | 6 |