Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [114,2,Mod(29,114)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(114, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 17]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("114.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 114 = 2 \cdot 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 114.l (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.910294583043\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{18})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} - x^{15} - 18 x^{14} + 36 x^{13} + 10 x^{12} + 18 x^{11} + 90 x^{10} - 567 x^{9} + 270 x^{8} + \cdots + 19683 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 41.2 | ||
Root | \(-1.73189 + 0.0237018i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 114.41 |
Dual form | 114.2.l.b.89.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(97\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{13}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.766044 | + | 0.642788i | 0.541675 | + | 0.454519i | ||||
\(3\) | −0.324081 | − | 1.70146i | −0.187108 | − | 0.982339i | ||||
\(4\) | 0.173648 | + | 0.984808i | 0.0868241 | + | 0.492404i | ||||
\(5\) | 2.22841 | + | 0.392929i | 0.996575 | + | 0.175723i | 0.648067 | − | 0.761583i | \(-0.275577\pi\) |
0.348508 | + | 0.937306i | \(0.386689\pi\) | |||||||
\(6\) | 0.845418 | − | 1.51171i | 0.345140 | − | 0.617153i | ||||
\(7\) | −1.16829 | − | 2.02354i | −0.441572 | − | 0.764826i | 0.556234 | − | 0.831026i | \(-0.312246\pi\) |
−0.997806 | + | 0.0661999i | \(0.978912\pi\) | |||||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | −2.78994 | + | 1.10282i | −0.929981 | + | 0.367608i | ||||
\(10\) | 1.45449 | + | 1.73339i | 0.459950 | + | 0.548148i | ||||
\(11\) | 2.52163 | + | 1.45586i | 0.760299 | + | 0.438959i | 0.829403 | − | 0.558650i | \(-0.188681\pi\) |
−0.0691039 | + | 0.997609i | \(0.522014\pi\) | |||||||
\(12\) | 1.61934 | − | 0.614613i | 0.467462 | − | 0.177424i | ||||
\(13\) | −0.451929 | + | 1.24167i | −0.125343 | + | 0.344376i | −0.986453 | − | 0.164041i | \(-0.947547\pi\) |
0.861111 | + | 0.508417i | \(0.169769\pi\) | |||||||
\(14\) | 0.405743 | − | 2.30108i | 0.108439 | − | 0.614990i | ||||
\(15\) | −0.0536321 | − | 3.91889i | −0.0138478 | − | 1.01185i | ||||
\(16\) | −0.939693 | + | 0.342020i | −0.234923 | + | 0.0855050i | ||||
\(17\) | −3.72112 | + | 4.43466i | −0.902504 | + | 1.07556i | 0.0942898 | + | 0.995545i | \(0.469942\pi\) |
−0.996793 | + | 0.0800172i | \(0.974502\pi\) | |||||||
\(18\) | −2.84610 | − | 0.948529i | −0.670832 | − | 0.223571i | ||||
\(19\) | −1.79800 | − | 3.97079i | −0.412489 | − | 0.910962i | ||||
\(20\) | 2.26279i | 0.505974i | ||||||||
\(21\) | −3.06435 | + | 2.64359i | −0.668697 | + | 0.576879i | ||||
\(22\) | 0.995869 | + | 2.73613i | 0.212320 | + | 0.583344i | ||||
\(23\) | −8.06194 | + | 1.42154i | −1.68103 | + | 0.296411i | −0.931007 | − | 0.365001i | \(-0.881069\pi\) |
−0.750023 | + | 0.661412i | \(0.769958\pi\) | |||||||
\(24\) | 1.63555 | + | 0.570068i | 0.333855 | + | 0.116365i | ||||
\(25\) | 0.112953 | + | 0.0411116i | 0.0225906 | + | 0.00822231i | ||||
\(26\) | −1.14432 | + | 0.660676i | −0.224421 | + | 0.129569i | ||||
\(27\) | 2.78058 | + | 4.38958i | 0.535123 | + | 0.844774i | ||||
\(28\) | 1.78993 | − | 1.50193i | 0.338264 | − | 0.283837i | ||||
\(29\) | 1.64718 | − | 1.38215i | 0.305875 | − | 0.256659i | −0.476910 | − | 0.878952i | \(-0.658243\pi\) |
0.782784 | + | 0.622293i | \(0.213799\pi\) | |||||||
\(30\) | 2.47793 | − | 3.03652i | 0.452406 | − | 0.554390i | ||||
\(31\) | 5.27928 | − | 3.04799i | 0.948186 | − | 0.547436i | 0.0556692 | − | 0.998449i | \(-0.482271\pi\) |
0.892517 | + | 0.451014i | \(0.148937\pi\) | |||||||
\(32\) | −0.939693 | − | 0.342020i | −0.166116 | − | 0.0604612i | ||||
\(33\) | 1.65988 | − | 4.76227i | 0.288948 | − | 0.829005i | ||||
\(34\) | −5.70108 | + | 1.00525i | −0.977728 | + | 0.172400i | ||||
\(35\) | −1.80832 | − | 4.96833i | −0.305662 | − | 0.839801i | ||||
\(36\) | −1.57054 | − | 2.55605i | −0.261756 | − | 0.426009i | ||||
\(37\) | 2.98954i | 0.491477i | 0.969336 | + | 0.245738i | \(0.0790304\pi\) | ||||
−0.969336 | + | 0.245738i | \(0.920970\pi\) | |||||||
\(38\) | 1.17503 | − | 4.19754i | 0.190615 | − | 0.680930i | ||||
\(39\) | 2.25911 | + | 0.366540i | 0.361747 | + | 0.0586934i | ||||
\(40\) | −1.45449 | + | 1.73339i | −0.229975 | + | 0.274074i | ||||
\(41\) | 8.52555 | − | 3.10304i | 1.33147 | − | 0.484614i | 0.424352 | − | 0.905497i | \(-0.360502\pi\) |
0.907115 | + | 0.420883i | \(0.138280\pi\) | |||||||
\(42\) | −4.04670 | + | 0.0553812i | −0.624419 | + | 0.00854550i | ||||
\(43\) | −0.0666074 | + | 0.377749i | −0.0101575 | + | 0.0576062i | −0.989465 | − | 0.144771i | \(-0.953756\pi\) |
0.979308 | + | 0.202377i | \(0.0648666\pi\) | |||||||
\(44\) | −0.995869 | + | 2.73613i | −0.150133 | + | 0.412487i | ||||
\(45\) | −6.65047 | + | 1.36129i | −0.991393 | + | 0.202929i | ||||
\(46\) | −7.08955 | − | 4.09315i | −1.04530 | − | 0.603502i | ||||
\(47\) | 6.57494 | + | 7.83571i | 0.959054 | + | 1.14296i | 0.989661 | + | 0.143424i | \(0.0458113\pi\) |
−0.0306076 | + | 0.999531i | \(0.509744\pi\) | |||||||
\(48\) | 0.886471 | + | 1.48801i | 0.127951 | + | 0.214776i | ||||
\(49\) | 0.770194 | − | 1.33401i | 0.110028 | − | 0.190574i | ||||
\(50\) | 0.0601011 | + | 0.104098i | 0.00849958 | + | 0.0147217i | ||||
\(51\) | 8.75134 | + | 4.89415i | 1.22543 | + | 0.685318i | ||||
\(52\) | −1.30128 | − | 0.229450i | −0.180455 | − | 0.0318191i | ||||
\(53\) | −0.494197 | − | 2.80273i | −0.0678832 | − | 0.384985i | −0.999754 | − | 0.0221937i | \(-0.992935\pi\) |
0.931870 | − | 0.362791i | \(-0.118176\pi\) | |||||||
\(54\) | −0.691519 | + | 5.14993i | −0.0941038 | + | 0.700817i | ||||
\(55\) | 5.04717 | + | 4.23508i | 0.680560 | + | 0.571058i | ||||
\(56\) | 2.33658 | 0.312239 | ||||||||
\(57\) | −6.17345 | + | 4.34609i | −0.817694 | + | 0.575653i | ||||
\(58\) | 2.15025 | 0.282341 | ||||||||
\(59\) | −2.53779 | − | 2.12946i | −0.330392 | − | 0.277232i | 0.462468 | − | 0.886636i | \(-0.346964\pi\) |
−0.792860 | + | 0.609404i | \(0.791409\pi\) | |||||||
\(60\) | 3.85004 | − | 0.733326i | 0.497039 | − | 0.0946720i | ||||
\(61\) | 1.01879 | + | 5.77787i | 0.130443 | + | 0.739780i | 0.977925 | + | 0.208956i | \(0.0670064\pi\) |
−0.847482 | + | 0.530824i | \(0.821882\pi\) | |||||||
\(62\) | 6.00337 | + | 1.05856i | 0.762429 | + | 0.134437i | ||||
\(63\) | 5.49107 | + | 4.35714i | 0.691810 | + | 0.548948i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | −1.49497 | + | 2.58936i | −0.185428 | + | 0.321171i | ||||
\(66\) | 4.33267 | − | 2.58116i | 0.533315 | − | 0.317719i | ||||
\(67\) | −10.4361 | − | 12.4373i | −1.27497 | − | 1.51945i | −0.735668 | − | 0.677342i | \(-0.763132\pi\) |
−0.539305 | − | 0.842111i | \(-0.681313\pi\) | |||||||
\(68\) | −5.01345 | − | 2.89452i | −0.607970 | − | 0.351012i | ||||
\(69\) | 5.03141 | + | 13.2564i | 0.605711 | + | 1.59588i | ||||
\(70\) | 1.80832 | − | 4.96833i | 0.216136 | − | 0.593829i | ||||
\(71\) | 2.29622 | − | 13.0225i | 0.272511 | − | 1.54549i | −0.474247 | − | 0.880392i | \(-0.657280\pi\) |
0.746758 | − | 0.665095i | \(-0.231609\pi\) | |||||||
\(72\) | 0.439899 | − | 2.96757i | 0.0518426 | − | 0.349732i | ||||
\(73\) | 5.84733 | − | 2.12826i | 0.684379 | − | 0.249093i | 0.0236522 | − | 0.999720i | \(-0.492471\pi\) |
0.660726 | + | 0.750627i | \(0.270248\pi\) | |||||||
\(74\) | −1.92164 | + | 2.29012i | −0.223386 | + | 0.266221i | ||||
\(75\) | 0.0333438 | − | 0.205509i | 0.00385021 | − | 0.0237301i | ||||
\(76\) | 3.59825 | − | 2.46020i | 0.412747 | − | 0.282205i | ||||
\(77\) | − | 6.80348i | − | 0.775329i | ||||||
\(78\) | 1.49497 | + | 1.73291i | 0.169272 | + | 0.196214i | ||||
\(79\) | 1.77569 | + | 4.87866i | 0.199781 | + | 0.548893i | 0.998612 | − | 0.0526618i | \(-0.0167705\pi\) |
−0.798832 | + | 0.601554i | \(0.794548\pi\) | |||||||
\(80\) | −2.22841 | + | 0.392929i | −0.249144 | + | 0.0439308i | ||||
\(81\) | 6.56756 | − | 6.15363i | 0.729729 | − | 0.683736i | ||||
\(82\) | 8.52555 | + | 3.10304i | 0.941489 | + | 0.342674i | ||||
\(83\) | −1.62533 | + | 0.938386i | −0.178403 | + | 0.103001i | −0.586542 | − | 0.809919i | \(-0.699511\pi\) |
0.408139 | + | 0.912920i | \(0.366178\pi\) | |||||||
\(84\) | −3.13555 | − | 2.55874i | −0.342116 | − | 0.279182i | ||||
\(85\) | −10.0347 | + | 8.42009i | −1.08841 | + | 0.913288i | ||||
\(86\) | −0.293837 | + | 0.246558i | −0.0316852 | + | 0.0265871i | ||||
\(87\) | −2.88550 | − | 2.35469i | −0.309358 | − | 0.252450i | ||||
\(88\) | −2.52163 | + | 1.45586i | −0.268806 | + | 0.155195i | ||||
\(89\) | −5.82289 | − | 2.11936i | −0.617225 | − | 0.224651i | 0.0144367 | − | 0.999896i | \(-0.495405\pi\) |
−0.631661 | + | 0.775244i | \(0.717627\pi\) | |||||||
\(90\) | −5.96957 | − | 3.23203i | −0.629248 | − | 0.340686i | ||||
\(91\) | 3.04054 | − | 0.536130i | 0.318735 | − | 0.0562017i | ||||
\(92\) | −2.79988 | − | 7.69261i | −0.291908 | − | 0.802010i | ||||
\(93\) | −6.89696 | − | 7.99469i | −0.715181 | − | 0.829011i | ||||
\(94\) | 10.2288i | 1.05502i | ||||||||
\(95\) | −2.44644 | − | 9.55504i | −0.251000 | − | 0.980326i | ||||
\(96\) | −0.277398 | + | 1.70969i | −0.0283118 | + | 0.174495i | ||||
\(97\) | 6.13336 | − | 7.30946i | 0.622748 | − | 0.742163i | −0.358792 | − | 0.933418i | \(-0.616811\pi\) |
0.981540 | + | 0.191255i | \(0.0612557\pi\) | |||||||
\(98\) | 1.44749 | − | 0.526843i | 0.146219 | − | 0.0532192i | ||||
\(99\) | −8.64076 | − | 1.28086i | −0.868429 | − | 0.128732i | ||||
\(100\) | −0.0208729 | + | 0.118376i | −0.00208729 | + | 0.0118376i | ||||
\(101\) | −4.28105 | + | 11.7621i | −0.425980 | + | 1.17037i | 0.522251 | + | 0.852792i | \(0.325092\pi\) |
−0.948232 | + | 0.317580i | \(0.897130\pi\) | |||||||
\(102\) | 3.55802 | + | 9.37439i | 0.352296 | + | 0.928203i | ||||
\(103\) | 7.59279 | + | 4.38370i | 0.748140 | + | 0.431939i | 0.825021 | − | 0.565102i | \(-0.191163\pi\) |
−0.0768818 | + | 0.997040i | \(0.524496\pi\) | |||||||
\(104\) | −0.849349 | − | 1.01221i | −0.0832855 | − | 0.0992558i | ||||
\(105\) | −7.86738 | + | 4.68693i | −0.767777 | + | 0.457398i | ||||
\(106\) | 1.42298 | − | 2.46468i | 0.138212 | − | 0.239391i | ||||
\(107\) | 4.04583 | + | 7.00758i | 0.391125 | + | 0.677449i | 0.992598 | − | 0.121444i | \(-0.0387526\pi\) |
−0.601473 | + | 0.798893i | \(0.705419\pi\) | |||||||
\(108\) | −3.84005 | + | 3.50058i | −0.369509 | + | 0.336843i | ||||
\(109\) | 7.26213 | + | 1.28051i | 0.695586 | + | 0.122651i | 0.510252 | − | 0.860025i | \(-0.329552\pi\) |
0.185334 | + | 0.982676i | \(0.440663\pi\) | |||||||
\(110\) | 1.14410 | + | 6.48852i | 0.109086 | + | 0.618656i | ||||
\(111\) | 5.08658 | − | 0.968852i | 0.482797 | − | 0.0919594i | ||||
\(112\) | 1.78993 | + | 1.50193i | 0.169132 | + | 0.141919i | ||||
\(113\) | −14.8779 | −1.39960 | −0.699799 | − | 0.714340i | \(-0.746727\pi\) | ||||
−0.699799 | + | 0.714340i | \(0.746727\pi\) | |||||||
\(114\) | −7.52275 | − | 0.638925i | −0.704570 | − | 0.0598408i | ||||
\(115\) | −18.5239 | −1.72736 | ||||||||
\(116\) | 1.64718 | + | 1.38215i | 0.152937 | + | 0.128330i | ||||
\(117\) | −0.108480 | − | 3.96257i | −0.0100290 | − | 0.366340i | ||||
\(118\) | −0.575270 | − | 3.26252i | −0.0529579 | − | 0.300339i | ||||
\(119\) | 13.3210 | + | 2.34886i | 1.22114 | + | 0.215320i | ||||
\(120\) | 3.42068 | + | 1.91300i | 0.312264 | + | 0.174632i | ||||
\(121\) | −1.26093 | − | 2.18399i | −0.114630 | − | 0.198545i | ||||
\(122\) | −2.93350 | + | 5.08097i | −0.265587 | + | 0.460009i | ||||
\(123\) | −8.04268 | − | 13.5002i | −0.725184 | − | 1.21728i | ||||
\(124\) | 3.91842 | + | 4.66980i | 0.351885 | + | 0.419360i | ||||
\(125\) | −9.56260 | − | 5.52097i | −0.855305 | − | 0.493811i | ||||
\(126\) | 1.40569 | + | 6.86735i | 0.125229 | + | 0.611793i | ||||
\(127\) | −2.54056 | + | 6.98012i | −0.225438 | + | 0.619386i | −0.999913 | − | 0.0132192i | \(-0.995792\pi\) |
0.774475 | + | 0.632605i | \(0.218014\pi\) | |||||||
\(128\) | 0.173648 | − | 0.984808i | 0.0153485 | − | 0.0870455i | ||||
\(129\) | 0.664312 | − | 0.00909146i | 0.0584894 | − | 0.000800458i | ||||
\(130\) | −2.80962 | + | 1.02262i | −0.246420 | + | 0.0896896i | ||||
\(131\) | −11.4406 | + | 13.6344i | −0.999574 | + | 1.19125i | −0.0180637 | + | 0.999837i | \(0.505750\pi\) |
−0.981510 | + | 0.191409i | \(0.938694\pi\) | |||||||
\(132\) | 4.97816 | + | 0.807705i | 0.433293 | + | 0.0703017i | ||||
\(133\) | −5.93447 | + | 8.27736i | −0.514584 | + | 0.717738i | ||||
\(134\) | − | 16.2357i | − | 1.40255i | ||||||
\(135\) | 4.47148 | + | 10.8743i | 0.384843 | + | 0.935915i | ||||
\(136\) | −1.97997 | − | 5.43991i | −0.169781 | − | 0.466468i | ||||
\(137\) | 16.1747 | − | 2.85204i | 1.38190 | − | 0.243666i | 0.567215 | − | 0.823570i | \(-0.308021\pi\) |
0.814685 | + | 0.579904i | \(0.196910\pi\) | |||||||
\(138\) | −4.66675 | + | 13.3891i | −0.397261 | + | 1.13976i | ||||
\(139\) | −18.1680 | − | 6.61260i | −1.54099 | − | 0.560873i | −0.574705 | − | 0.818360i | \(-0.694883\pi\) |
−0.966282 | + | 0.257487i | \(0.917106\pi\) | |||||||
\(140\) | 4.57884 | − | 2.64359i | 0.386982 | − | 0.223424i | ||||
\(141\) | 11.2013 | − | 13.7264i | 0.943323 | − | 1.15597i | ||||
\(142\) | 10.1297 | − | 8.49984i | 0.850067 | − | 0.713290i | ||||
\(143\) | −2.94729 | + | 2.47307i | −0.246465 | + | 0.206809i | ||||
\(144\) | 2.24450 | − | 1.99053i | 0.187042 | − | 0.165878i | ||||
\(145\) | 4.21369 | − | 2.43277i | 0.349928 | − | 0.202031i | ||||
\(146\) | 5.84733 | + | 2.12826i | 0.483929 | + | 0.176136i | ||||
\(147\) | −2.51938 | − | 0.878126i | −0.207795 | − | 0.0724266i | ||||
\(148\) | −2.94412 | + | 0.519128i | −0.242005 | + | 0.0426720i | ||||
\(149\) | −2.20295 | − | 6.05256i | −0.180473 | − | 0.495845i | 0.816161 | − | 0.577824i | \(-0.196098\pi\) |
−0.996634 | + | 0.0819794i | \(0.973876\pi\) | |||||||
\(150\) | 0.157641 | − | 0.135996i | 0.0128714 | − | 0.0111040i | ||||
\(151\) | − | 3.02833i | − | 0.246442i | −0.992379 | − | 0.123221i | \(-0.960678\pi\) | ||
0.992379 | − | 0.123221i | \(-0.0393223\pi\) | |||||||
\(152\) | 4.33781 | + | 0.428283i | 0.351843 | + | 0.0347384i | ||||
\(153\) | 5.49107 | − | 16.4762i | 0.443926 | − | 1.33202i | ||||
\(154\) | 4.37319 | − | 5.21177i | 0.352402 | − | 0.419976i | ||||
\(155\) | 12.9620 | − | 4.71780i | 1.04114 | − | 0.378942i | ||||
\(156\) | 0.0313184 | + | 2.28844i | 0.00250748 | + | 0.183221i | ||||
\(157\) | 3.32082 | − | 18.8333i | 0.265030 | − | 1.50306i | −0.503918 | − | 0.863751i | \(-0.668109\pi\) |
0.768949 | − | 0.639311i | \(-0.220780\pi\) | |||||||
\(158\) | −1.77569 | + | 4.87866i | −0.141266 | + | 0.388126i | ||||
\(159\) | −4.60858 | + | 1.74917i | −0.365484 | + | 0.138718i | ||||
\(160\) | −1.95963 | − | 1.13139i | −0.154922 | − | 0.0894445i | ||||
\(161\) | 12.2952 | + | 14.6529i | 0.968999 | + | 1.15481i | ||||
\(162\) | 8.98652 | − | 0.492402i | 0.706048 | − | 0.0386868i | ||||
\(163\) | −3.09435 | + | 5.35958i | −0.242368 | + | 0.419794i | −0.961388 | − | 0.275195i | \(-0.911258\pi\) |
0.719020 | + | 0.694989i | \(0.244591\pi\) | |||||||
\(164\) | 4.53635 | + | 7.85718i | 0.354229 | + | 0.613543i | ||||
\(165\) | 5.57013 | − | 9.96007i | 0.433634 | − | 0.775391i | ||||
\(166\) | −1.84826 | − | 0.325898i | −0.143453 | − | 0.0252946i | ||||
\(167\) | 0.758731 | + | 4.30298i | 0.0587124 | + | 0.332975i | 0.999989 | − | 0.00466148i | \(-0.00148380\pi\) |
−0.941277 | + | 0.337636i | \(0.890373\pi\) | |||||||
\(168\) | −0.757242 | − | 3.97560i | −0.0584225 | − | 0.306724i | ||||
\(169\) | 8.62108 | + | 7.23395i | 0.663160 | + | 0.556458i | ||||
\(170\) | −13.0993 | −1.00467 | ||||||||
\(171\) | 9.39540 | + | 9.09541i | 0.718484 | + | 0.695543i | ||||
\(172\) | −0.383577 | −0.0292474 | ||||||||
\(173\) | 11.4117 | + | 9.57556i | 0.867616 | + | 0.728016i | 0.963595 | − | 0.267367i | \(-0.0861536\pi\) |
−0.0959786 | + | 0.995383i | \(0.530598\pi\) | |||||||
\(174\) | −0.696854 | − | 3.65856i | −0.0528284 | − | 0.277355i | ||||
\(175\) | −0.0487712 | − | 0.276595i | −0.00368676 | − | 0.0209086i | ||||
\(176\) | −2.86749 | − | 0.505616i | −0.216145 | − | 0.0381122i | ||||
\(177\) | −2.80074 | + | 5.00807i | −0.210517 | + | 0.376429i | ||||
\(178\) | −3.09829 | − | 5.36640i | −0.232227 | − | 0.402229i | ||||
\(179\) | 1.68012 | − | 2.91005i | 0.125578 | − | 0.217507i | −0.796381 | − | 0.604796i | \(-0.793255\pi\) |
0.921959 | + | 0.387288i | \(0.126588\pi\) | |||||||
\(180\) | −2.49545 | − | 6.31304i | −0.186000 | − | 0.470547i | ||||
\(181\) | 12.7706 | + | 15.2194i | 0.949231 | + | 1.13125i | 0.991232 | + | 0.132132i | \(0.0421822\pi\) |
−0.0420013 | + | 0.999118i | \(0.513373\pi\) | |||||||
\(182\) | 2.67381 | + | 1.54372i | 0.198196 | + | 0.114428i | ||||
\(183\) | 9.50065 | − | 3.60593i | 0.702308 | − | 0.266558i | ||||
\(184\) | 2.79988 | − | 7.69261i | 0.206410 | − | 0.567107i | ||||
\(185\) | −1.17467 | + | 6.66191i | −0.0863638 | + | 0.489794i | ||||
\(186\) | −0.144486 | − | 10.5576i | −0.0105942 | − | 0.774118i | ||||
\(187\) | −15.8395 | + | 5.76511i | −1.15830 | + | 0.421587i | ||||
\(188\) | −6.57494 | + | 7.83571i | −0.479527 | + | 0.571478i | ||||
\(189\) | 5.63396 | − | 10.7549i | 0.409810 | − | 0.782305i | ||||
\(190\) | 4.26778 | − | 8.89213i | 0.309617 | − | 0.645103i | ||||
\(191\) | 10.2346i | 0.740548i | 0.928923 | + | 0.370274i | \(0.120736\pi\) | ||||
−0.928923 | + | 0.370274i | \(0.879264\pi\) | |||||||
\(192\) | −1.31147 | + | 1.13139i | −0.0946471 | + | 0.0816513i | ||||
\(193\) | −0.784644 | − | 2.15579i | −0.0564799 | − | 0.155177i | 0.908244 | − | 0.418441i | \(-0.137423\pi\) |
−0.964724 | + | 0.263264i | \(0.915201\pi\) | |||||||
\(194\) | 9.39685 | − | 1.65692i | 0.674655 | − | 0.118960i | ||||
\(195\) | 4.89019 | + | 1.70447i | 0.350194 | + | 0.122060i | ||||
\(196\) | 1.44749 | + | 0.526843i | 0.103392 | + | 0.0376317i | ||||
\(197\) | 5.46822 | − | 3.15708i | 0.389595 | − | 0.224933i | −0.292390 | − | 0.956299i | \(-0.594450\pi\) |
0.681984 | + | 0.731367i | \(0.261117\pi\) | |||||||
\(198\) | −5.79588 | − | 6.53537i | −0.411895 | − | 0.464449i | ||||
\(199\) | −7.96251 | + | 6.68134i | −0.564447 | + | 0.473628i | −0.879798 | − | 0.475348i | \(-0.842322\pi\) |
0.315351 | + | 0.948975i | \(0.397878\pi\) | |||||||
\(200\) | −0.0920802 | + | 0.0772645i | −0.00651105 | + | 0.00546342i | ||||
\(201\) | −17.7794 | + | 21.7873i | −1.25406 | + | 1.53676i | ||||
\(202\) | −10.8400 | + | 6.25847i | −0.762699 | + | 0.440345i | ||||
\(203\) | −4.72123 | − | 1.71839i | −0.331365 | − | 0.120607i | ||||
\(204\) | −3.30014 | + | 9.46825i | −0.231056 | + | 0.662910i | ||||
\(205\) | 20.2177 | − | 3.56492i | 1.41206 | − | 0.248985i | ||||
\(206\) | 2.99863 | + | 8.23866i | 0.208924 | + | 0.574014i | ||||
\(207\) | 20.9246 | − | 12.8569i | 1.45436 | − | 0.893616i | ||||
\(208\) | − | 1.32135i | − | 0.0916193i | ||||||
\(209\) | 1.24704 | − | 12.6305i | 0.0862598 | − | 0.873670i | ||||
\(210\) | −9.03946 | − | 1.46665i | −0.623782 | − | 0.101209i | ||||
\(211\) | −3.58388 | + | 4.27111i | −0.246725 | + | 0.294035i | −0.875167 | − | 0.483821i | \(-0.839248\pi\) |
0.628442 | + | 0.777856i | \(0.283693\pi\) | |||||||
\(212\) | 2.67434 | − | 0.973379i | 0.183674 | − | 0.0668519i | ||||
\(213\) | −22.9015 | + | 0.313418i | −1.56918 | + | 0.0214751i | ||||
\(214\) | −1.40510 | + | 7.96873i | −0.0960508 | + | 0.544731i | ||||
\(215\) | −0.296857 | + | 0.815608i | −0.0202455 | + | 0.0556240i | ||||
\(216\) | −5.19177 | + | 0.213263i | −0.353255 | + | 0.0145107i | ||||
\(217\) | −12.3355 | − | 7.12188i | −0.837386 | − | 0.483465i | ||||
\(218\) | 4.74002 | + | 5.64893i | 0.321034 | + | 0.382594i | ||||
\(219\) | −5.51615 | − | 9.25929i | −0.372747 | − | 0.625685i | ||||
\(220\) | −3.29431 | + | 5.70590i | −0.222102 | + | 0.384692i | ||||
\(221\) | −3.82468 | − | 6.62453i | −0.257276 | − | 0.445614i | ||||
\(222\) | 4.51931 | + | 2.52741i | 0.303316 | + | 0.169629i | ||||
\(223\) | 5.10735 | + | 0.900564i | 0.342014 | + | 0.0603062i | 0.342017 | − | 0.939694i | \(-0.388890\pi\) |
−3.40741e−6 | 1.00000i | \(0.500001\pi\) | ||||||||
\(224\) | 0.405743 | + | 2.30108i | 0.0271099 | + | 0.153748i | ||||
\(225\) | −0.360471 | + | 0.00986833i | −0.0240314 | + | 0.000657889i | ||||
\(226\) | −11.3972 | − | 9.56335i | −0.758128 | − | 0.636145i | ||||
\(227\) | −17.0369 | −1.13078 | −0.565391 | − | 0.824823i | \(-0.691275\pi\) | ||||
−0.565391 | + | 0.824823i | \(0.691275\pi\) | |||||||
\(228\) | −5.35207 | − | 5.32498i | −0.354449 | − | 0.352655i | ||||
\(229\) | 24.5203 | 1.62035 | 0.810173 | − | 0.586191i | \(-0.199373\pi\) | ||||
0.810173 | + | 0.586191i | \(0.199373\pi\) | |||||||
\(230\) | −14.1901 | − | 11.9069i | −0.935668 | − | 0.785118i | ||||
\(231\) | −11.5759 | + | 2.20488i | −0.761636 | + | 0.145070i | ||||
\(232\) | 0.373386 | + | 2.11758i | 0.0245140 | + | 0.139026i | ||||
\(233\) | −22.4936 | − | 3.96623i | −1.47360 | − | 0.259836i | −0.621585 | − | 0.783346i | \(-0.713511\pi\) |
−0.852019 | + | 0.523510i | \(0.824622\pi\) | |||||||
\(234\) | 2.46399 | − | 3.10524i | 0.161076 | − | 0.202996i | ||||
\(235\) | 11.5728 | + | 20.0447i | 0.754925 | + | 1.30757i | ||||
\(236\) | 1.65642 | − | 2.86901i | 0.107824 | − | 0.186757i | ||||
\(237\) | 7.72539 | − | 4.60235i | 0.501818 | − | 0.298955i | ||||
\(238\) | 8.69469 | + | 10.3619i | 0.563593 | + | 0.671664i | ||||
\(239\) | 2.62883 | + | 1.51775i | 0.170045 | + | 0.0981753i | 0.582607 | − | 0.812754i | \(-0.302033\pi\) |
−0.412562 | + | 0.910929i | \(0.635366\pi\) | |||||||
\(240\) | 1.39074 | + | 3.66421i | 0.0897718 | + | 0.236524i | ||||
\(241\) | −1.35157 | + | 3.71341i | −0.0870624 | + | 0.239202i | −0.975582 | − | 0.219638i | \(-0.929512\pi\) |
0.888519 | + | 0.458840i | \(0.151735\pi\) | |||||||
\(242\) | 0.437916 | − | 2.48355i | 0.0281503 | − | 0.159648i | ||||
\(243\) | −12.5986 | − | 9.18018i | −0.808199 | − | 0.588909i | ||||
\(244\) | −5.51318 | + | 2.00663i | −0.352945 | + | 0.128461i | ||||
\(245\) | 2.24048 | − | 2.67010i | 0.143139 | − | 0.170586i | ||||
\(246\) | 2.51674 | − | 15.5115i | 0.160462 | − | 0.988979i | ||||
\(247\) | 5.74296 | − | 0.437996i | 0.365416 | − | 0.0278690i | ||||
\(248\) | 6.09598i | 0.387095i | ||||||||
\(249\) | 2.12337 | + | 2.46133i | 0.134563 | + | 0.155980i | ||||
\(250\) | −3.77657 | − | 10.3760i | −0.238851 | − | 0.656238i | ||||
\(251\) | 7.14276 | − | 1.25946i | 0.450847 | − | 0.0794965i | 0.0563857 | − | 0.998409i | \(-0.482042\pi\) |
0.394461 | + | 0.918913i | \(0.370931\pi\) | |||||||
\(252\) | −3.33743 | + | 6.16426i | −0.210238 | + | 0.388312i | ||||
\(253\) | −22.3988 | − | 8.15248i | −1.40820 | − | 0.512542i | ||||
\(254\) | −6.43292 | + | 3.71405i | −0.403637 | + | 0.233040i | ||||
\(255\) | 17.5785 | + | 14.3448i | 1.10081 | + | 0.898308i | ||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | 7.10091 | − | 5.95837i | 0.442942 | − | 0.371673i | −0.393867 | − | 0.919168i | \(-0.628863\pi\) |
0.836809 | + | 0.547495i | \(0.184418\pi\) | |||||||
\(258\) | 0.514736 | + | 0.420047i | 0.0320461 | + | 0.0261510i | ||||
\(259\) | 6.04944 | − | 3.49265i | 0.375894 | − | 0.217023i | ||||
\(260\) | −2.80962 | − | 1.02262i | −0.174245 | − | 0.0634202i | ||||
\(261\) | −3.07128 | + | 5.67268i | −0.190108 | + | 0.351130i | ||||
\(262\) | −17.5281 | + | 3.09067i | −1.08289 | + | 0.190943i | ||||
\(263\) | 1.21399 | + | 3.33541i | 0.0748578 | + | 0.205670i | 0.971478 | − | 0.237131i | \(-0.0762070\pi\) |
−0.896620 | + | 0.442801i | \(0.853985\pi\) | |||||||
\(264\) | 3.29431 | + | 3.81864i | 0.202751 | + | 0.235021i | ||||
\(265\) | − | 6.43982i | − | 0.395595i | ||||||
\(266\) | −9.86665 | + | 2.52623i | −0.604963 | + | 0.154893i | ||||
\(267\) | −1.71892 | + | 10.5943i | −0.105196 | + | 0.648358i | ||||
\(268\) | 10.4361 | − | 12.4373i | 0.637486 | − | 0.759727i | ||||
\(269\) | −4.70855 | + | 1.71377i | −0.287086 | + | 0.104491i | −0.481549 | − | 0.876419i | \(-0.659926\pi\) |
0.194463 | + | 0.980910i | \(0.437703\pi\) | |||||||
\(270\) | −3.56454 | + | 11.2044i | −0.216931 | + | 0.681881i | ||||
\(271\) | −1.60600 | + | 9.10806i | −0.0975574 | + | 0.553275i | 0.896376 | + | 0.443294i | \(0.146190\pi\) |
−0.993934 | + | 0.109981i | \(0.964921\pi\) | |||||||
\(272\) | 1.97997 | − | 5.43991i | 0.120053 | − | 0.329843i | ||||
\(273\) | −1.89759 | − | 4.99962i | −0.114847 | − | 0.302591i | ||||
\(274\) | 14.2238 | + | 8.21212i | 0.859292 | + | 0.496112i | ||||
\(275\) | 0.224973 | + | 0.268112i | 0.0135664 | + | 0.0161678i | ||||
\(276\) | −12.1813 | + | 7.25692i | −0.733228 | + | 0.436815i | ||||
\(277\) | 3.80040 | − | 6.58248i | 0.228344 | − | 0.395503i | −0.728974 | − | 0.684542i | \(-0.760002\pi\) |
0.957317 | + | 0.289039i | \(0.0933356\pi\) | |||||||
\(278\) | −9.66698 | − | 16.7437i | −0.579787 | − | 1.00422i | ||||
\(279\) | −11.3675 | + | 14.3258i | −0.680554 | + | 0.857665i | ||||
\(280\) | 5.20686 | + | 0.918110i | 0.311169 | + | 0.0548676i | ||||
\(281\) | 2.50185 | + | 14.1887i | 0.149248 | + | 0.846425i | 0.963858 | + | 0.266417i | \(0.0858397\pi\) |
−0.814610 | + | 0.580009i | \(0.803049\pi\) | |||||||
\(282\) | 17.4039 | − | 3.31496i | 1.03639 | − | 0.197403i | ||||
\(283\) | 7.59307 | + | 6.37134i | 0.451361 | + | 0.378737i | 0.839941 | − | 0.542678i | \(-0.182590\pi\) |
−0.388579 | + | 0.921415i | \(0.627034\pi\) | |||||||
\(284\) | 13.2234 | 0.784664 | ||||||||
\(285\) | −15.4647 | + | 7.25913i | −0.916049 | + | 0.429994i | ||||
\(286\) | −3.84742 | −0.227502 | ||||||||
\(287\) | −16.2394 | − | 13.6265i | −0.958584 | − | 0.804348i | ||||
\(288\) | 2.99888 | − | 0.0820978i | 0.176710 | − | 0.00483766i | ||||
\(289\) | −2.86743 | − | 16.2620i | −0.168673 | − | 0.956589i | ||||
\(290\) | 4.79163 | + | 0.844894i | 0.281374 | + | 0.0496139i | ||||
\(291\) | −14.4245 | − | 8.06682i | −0.845577 | − | 0.472886i | ||||
\(292\) | 3.11130 | + | 5.38893i | 0.182075 | + | 0.315363i | ||||
\(293\) | −4.11218 | + | 7.12251i | −0.240236 | + | 0.416102i | −0.960782 | − | 0.277306i | \(-0.910558\pi\) |
0.720545 | + | 0.693408i | \(0.243892\pi\) | |||||||
\(294\) | −1.36551 | − | 2.29211i | −0.0796381 | − | 0.133679i | ||||
\(295\) | −4.81851 | − | 5.74247i | −0.280544 | − | 0.334340i | ||||
\(296\) | −2.58901 | − | 1.49477i | −0.150483 | − | 0.0868816i | ||||
\(297\) | 0.620963 | + | 15.1170i | 0.0360319 | + | 0.877178i | ||||
\(298\) | 2.20295 | − | 6.05256i | 0.127614 | − | 0.350615i | ||||
\(299\) | 1.87835 | − | 10.6527i | 0.108628 | − | 0.616059i | ||||
\(300\) | 0.208177 | − | 0.00284901i | 0.0120191 | − | 0.000164488i | ||||
\(301\) | 0.842207 | − | 0.306538i | 0.0485440 | − | 0.0176686i | ||||
\(302\) | 1.94657 | − | 2.31983i | 0.112013 | − | 0.133491i | ||||
\(303\) | 21.4001 | + | 3.47217i | 1.22941 | + | 0.199471i | ||||
\(304\) | 3.04766 | + | 3.11637i | 0.174795 | + | 0.178736i | ||||
\(305\) | 13.2758i | 0.760168i | ||||||||
\(306\) | 14.7971 | − | 9.09189i | 0.845893 | − | 0.519749i | ||||
\(307\) | −3.47152 | − | 9.53794i | −0.198130 | − | 0.544359i | 0.800346 | − | 0.599538i | \(-0.204649\pi\) |
−0.998476 | + | 0.0551795i | \(0.982427\pi\) | |||||||
\(308\) | 6.70012 | − | 1.18141i | 0.381775 | − | 0.0673172i | ||||
\(309\) | 4.99801 | − | 14.3395i | 0.284327 | − | 0.815746i | ||||
\(310\) | 12.9620 | + | 4.71780i | 0.736194 | + | 0.267953i | ||||
\(311\) | 9.98316 | − | 5.76378i | 0.566093 | − | 0.326834i | −0.189494 | − | 0.981882i | \(-0.560685\pi\) |
0.755587 | + | 0.655048i | \(0.227352\pi\) | |||||||
\(312\) | −1.44699 | + | 1.77317i | −0.0819195 | + | 0.100386i | ||||
\(313\) | 2.29638 | − | 1.92690i | 0.129799 | − | 0.108915i | −0.575577 | − | 0.817748i | \(-0.695222\pi\) |
0.705376 | + | 0.708833i | \(0.250778\pi\) | |||||||
\(314\) | 14.6497 | − | 12.2926i | 0.826731 | − | 0.693710i | ||||
\(315\) | 10.5243 | + | 11.8671i | 0.592977 | + | 0.668635i | ||||
\(316\) | −4.49620 | + | 2.59588i | −0.252931 | + | 0.146030i | ||||
\(317\) | −15.4509 | − | 5.62366i | −0.867808 | − | 0.315856i | −0.130529 | − | 0.991445i | \(-0.541667\pi\) |
−0.737279 | + | 0.675588i | \(0.763890\pi\) | |||||||
\(318\) | −4.65472 | − | 1.62240i | −0.261024 | − | 0.0909795i | ||||
\(319\) | 6.16581 | − | 1.08720i | 0.345219 | − | 0.0608714i | ||||
\(320\) | −0.773919 | − | 2.12632i | −0.0432634 | − | 0.118865i | ||||
\(321\) | 10.6120 | − | 9.15485i | 0.592302 | − | 0.510974i | ||||
\(322\) | 19.1280i | 1.06596i | ||||||||
\(323\) | 24.2997 | + | 6.80228i | 1.35207 | + | 0.378489i | ||||
\(324\) | 7.20058 | + | 5.39922i | 0.400032 | + | 0.299957i | ||||
\(325\) | −0.102094 | + | 0.121670i | −0.00566313 | + | 0.00674906i | ||||
\(326\) | −5.81548 | + | 2.11666i | −0.322090 | + | 0.117231i | ||||
\(327\) | −0.174781 | − | 12.7712i | −0.00966540 | − | 0.706250i | ||||
\(328\) | −1.57546 | + | 8.93486i | −0.0869901 | + | 0.493345i | ||||
\(329\) | 8.17442 | − | 22.4590i | 0.450670 | − | 1.23821i | ||||
\(330\) | 10.6692 | − | 4.04945i | 0.587319 | − | 0.222915i | ||||
\(331\) | 1.51206 | + | 0.872986i | 0.0831101 | + | 0.0479837i | 0.540979 | − | 0.841036i | \(-0.318054\pi\) |
−0.457869 | + | 0.889020i | \(0.651387\pi\) | |||||||
\(332\) | −1.20637 | − | 1.43769i | −0.0662079 | − | 0.0789036i | ||||
\(333\) | −3.29693 | − | 8.34064i | −0.180671 | − | 0.457064i | ||||
\(334\) | −2.18468 | + | 3.78398i | −0.119540 | + | 0.207050i | ||||
\(335\) | −18.3689 | − | 31.8160i | −1.00360 | − | 1.73829i | ||||
\(336\) | 1.97539 | − | 3.53223i | 0.107766 | − | 0.192699i | ||||
\(337\) | −14.3139 | − | 2.52392i | −0.779727 | − | 0.137487i | −0.230402 | − | 0.973096i | \(-0.574004\pi\) |
−0.549325 | + | 0.835609i | \(0.685115\pi\) | |||||||
\(338\) | 1.95424 | + | 11.0831i | 0.106297 | + | 0.602839i | ||||
\(339\) | 4.82166 | + | 25.3142i | 0.261876 | + | 1.37488i | ||||
\(340\) | −10.0347 | − | 8.42009i | −0.544207 | − | 0.456644i | ||||
\(341\) | 17.7498 | 0.961207 | ||||||||
\(342\) | 1.35087 | + | 13.0067i | 0.0730469 | + | 0.703324i | ||||
\(343\) | −19.9553 | −1.07749 | ||||||||
\(344\) | −0.293837 | − | 0.246558i | −0.0158426 | − | 0.0132935i | ||||
\(345\) | 6.00323 | + | 31.5176i | 0.323203 | + | 1.69685i | ||||
\(346\) | 2.58682 | + | 14.6706i | 0.139069 | + | 0.788697i | ||||
\(347\) | −5.30901 | − | 0.936123i | −0.285003 | − | 0.0502537i | 0.0293192 | − | 0.999570i | \(-0.490666\pi\) |
−0.314322 | + | 0.949316i | \(0.601777\pi\) | |||||||
\(348\) | 1.81786 | − | 3.25055i | 0.0974474 | − | 0.174248i | ||||
\(349\) | −1.57657 | − | 2.73070i | −0.0843920 | − | 0.146171i | 0.820740 | − | 0.571302i | \(-0.193561\pi\) |
−0.905132 | + | 0.425131i | \(0.860228\pi\) | |||||||
\(350\) | 0.140431 | − | 0.243234i | 0.00750636 | − | 0.0130014i | ||||
\(351\) | −6.70701 | + | 1.46877i | −0.357994 | + | 0.0783971i | ||||
\(352\) | −1.87162 | − | 2.23051i | −0.0997577 | − | 0.118887i | ||||
\(353\) | 19.6094 | + | 11.3215i | 1.04370 | + | 0.602582i | 0.920880 | − | 0.389847i | \(-0.127472\pi\) |
0.122822 | + | 0.992429i | \(0.460805\pi\) | |||||||
\(354\) | −5.36462 | + | 2.03612i | −0.285126 | + | 0.108219i | ||||
\(355\) | 10.2338 | − | 28.1172i | 0.543155 | − | 1.49231i | ||||
\(356\) | 1.07603 | − | 6.10245i | 0.0570293 | − | 0.323429i | ||||
\(357\) | −0.320603 | − | 23.4265i | −0.0169681 | − | 1.23986i | ||||
\(358\) | 3.15759 | − | 1.14927i | 0.166884 | − | 0.0607407i | ||||
\(359\) | −10.4708 | + | 12.4786i | −0.552628 | + | 0.658596i | −0.967969 | − | 0.251069i | \(-0.919218\pi\) |
0.415341 | + | 0.909666i | \(0.363662\pi\) | |||||||
\(360\) | 2.14632 | − | 6.44012i | 0.113121 | − | 0.339424i | ||||
\(361\) | −12.5344 | + | 14.2790i | −0.659705 | + | 0.751525i | ||||
\(362\) | 19.8675i | 1.04421i | ||||||||
\(363\) | −3.30734 | + | 2.85321i | −0.173590 | + | 0.149755i | ||||
\(364\) | 1.05597 | + | 2.90125i | 0.0553478 | + | 0.152067i | ||||
\(365\) | 13.8665 | − | 2.44504i | 0.725806 | − | 0.127979i | ||||
\(366\) | 9.59577 | + | 3.34459i | 0.501579 | + | 0.174825i | ||||
\(367\) | 13.5022 | + | 4.91441i | 0.704811 | + | 0.256530i | 0.669464 | − | 0.742845i | \(-0.266524\pi\) |
0.0353474 | + | 0.999375i | \(0.488746\pi\) | |||||||
\(368\) | 7.08955 | − | 4.09315i | 0.369568 | − | 0.213370i | ||||
\(369\) | −20.3637 | + | 18.0595i | −1.06009 | + | 0.940139i | ||||
\(370\) | −5.18205 | + | 4.34825i | −0.269402 | + | 0.226055i | ||||
\(371\) | −5.09407 | + | 4.27443i | −0.264471 | + | 0.221918i | ||||
\(372\) | 6.67559 | − | 8.18044i | 0.346113 | − | 0.424136i | ||||
\(373\) | −31.7907 | + | 18.3543i | −1.64606 | + | 0.950352i | −0.667441 | + | 0.744663i | \(0.732610\pi\) |
−0.978617 | + | 0.205689i | \(0.934056\pi\) | |||||||
\(374\) | −15.8395 | − | 5.76511i | −0.819042 | − | 0.298107i | ||||
\(375\) | −6.29466 | + | 18.0596i | −0.325055 | + | 0.932596i | ||||
\(376\) | −10.0734 | + | 1.77621i | −0.519496 | + | 0.0916011i | ||||
\(377\) | 0.971760 | + | 2.66989i | 0.0500482 | + | 0.137506i | ||||
\(378\) | 11.2290 | − | 4.61730i | 0.577557 | − | 0.237488i | ||||
\(379\) | − | 26.0481i | − | 1.33800i | −0.743263 | − | 0.669000i | \(-0.766723\pi\) | ||
0.743263 | − | 0.669000i | \(-0.233277\pi\) | |||||||
\(380\) | 8.98506 | − | 4.06849i | 0.460924 | − | 0.208709i | ||||
\(381\) | 12.6998 | + | 2.06053i | 0.650628 | + | 0.105564i | ||||
\(382\) | −6.57866 | + | 7.84014i | −0.336593 | + | 0.401136i | ||||
\(383\) | 2.22943 | − | 0.811445i | 0.113918 | − | 0.0414629i | −0.284432 | − | 0.958696i | \(-0.591805\pi\) |
0.398350 | + | 0.917233i | \(0.369583\pi\) | |||||||
\(384\) | −1.73189 | + | 0.0237018i | −0.0883801 | + | 0.00120953i | ||||
\(385\) | 2.67328 | − | 15.1609i | 0.136243 | − | 0.772673i | ||||
\(386\) | 0.784644 | − | 2.15579i | 0.0399374 | − | 0.109727i | ||||
\(387\) | −0.230760 | − | 1.12735i | −0.0117302 | − | 0.0573067i | ||||
\(388\) | 8.26346 | + | 4.77091i | 0.419513 | + | 0.242206i | ||||
\(389\) | −15.0557 | − | 17.9426i | −0.763353 | − | 0.909728i | 0.234702 | − | 0.972067i | \(-0.424588\pi\) |
−0.998055 | + | 0.0623389i | \(0.980144\pi\) | |||||||
\(390\) | 2.65049 | + | 4.44905i | 0.134213 | + | 0.225287i | ||||
\(391\) | 23.6954 | − | 41.0416i | 1.19833 | − | 2.07556i | ||||
\(392\) | 0.770194 | + | 1.33401i | 0.0389007 | + | 0.0673779i | ||||
\(393\) | 26.9062 | + | 15.0472i | 1.35724 | + | 0.759029i | ||||
\(394\) | 6.21823 | + | 1.09644i | 0.313270 | + | 0.0552380i | ||||
\(395\) | 2.03999 | + | 11.5694i | 0.102643 | + | 0.582119i | ||||
\(396\) | −0.239046 | − | 8.73190i | −0.0120125 | − | 0.438795i | ||||
\(397\) | 5.26511 | + | 4.41795i | 0.264248 | + | 0.221731i | 0.765279 | − | 0.643699i | \(-0.222601\pi\) |
−0.501031 | + | 0.865430i | \(0.667046\pi\) | |||||||
\(398\) | −10.3943 | −0.521020 | ||||||||
\(399\) | 16.0069 | + | 7.41473i | 0.801345 | + | 0.371201i | ||||
\(400\) | −0.120202 | −0.00601011 | ||||||||
\(401\) | −23.7988 | − | 19.9695i | −1.18845 | − | 0.997231i | −0.999885 | − | 0.0151712i | \(-0.995171\pi\) |
−0.188569 | − | 0.982060i | \(-0.560385\pi\) | |||||||
\(402\) | −27.6244 | + | 5.26168i | −1.37778 | + | 0.262429i | ||||
\(403\) | 1.39873 | + | 7.93257i | 0.0696755 | + | 0.395150i | ||||
\(404\) | −12.3268 | − | 2.17355i | −0.613281 | − | 0.108138i | ||||
\(405\) | 17.0532 | − | 11.1322i | 0.847378 | − | 0.553164i | ||||
\(406\) | −2.51211 | − | 4.35111i | −0.124674 | − | 0.215942i | ||||
\(407\) | −4.35235 | + | 7.53850i | −0.215738 | + | 0.373670i | ||||
\(408\) | −8.61413 | + | 5.13181i | −0.426463 | + | 0.254062i | ||||
\(409\) | −5.64702 | − | 6.72985i | −0.279227 | − | 0.332770i | 0.608143 | − | 0.793827i | \(-0.291915\pi\) |
−0.887370 | + | 0.461057i | \(0.847470\pi\) | |||||||
\(410\) | 17.7791 | + | 10.2648i | 0.878049 | + | 0.506942i | ||||
\(411\) | −10.0946 | − | 26.5964i | −0.497928 | − | 1.31190i | ||||
\(412\) | −2.99863 | + | 8.23866i | −0.147732 | + | 0.405889i | ||||
\(413\) | −1.34417 | + | 7.62314i | −0.0661420 | + | 0.375110i | ||||
\(414\) | 24.2935 | + | 3.60115i | 1.19396 | + | 0.176987i | ||||
\(415\) | −3.99063 | + | 1.45247i | −0.195892 | + | 0.0712989i | ||||
\(416\) | 0.849349 | − | 1.01221i | 0.0416428 | − | 0.0496279i | ||||
\(417\) | −5.36319 | + | 33.0551i | −0.262637 | + | 1.61872i | ||||
\(418\) | 9.07402 | − | 8.87394i | 0.443825 | − | 0.434039i | ||||
\(419\) | 0.268652i | 0.0131245i | 0.999978 | + | 0.00656225i | \(0.00208885\pi\) | ||||
−0.999978 | + | 0.00656225i | \(0.997911\pi\) | |||||||
\(420\) | −5.98188 | − | 6.93398i | −0.291886 | − | 0.338343i | ||||
\(421\) | 6.44528 | + | 17.7083i | 0.314124 | + | 0.863048i | 0.991813 | + | 0.127699i | \(0.0407592\pi\) |
−0.677689 | + | 0.735348i | \(0.737019\pi\) | |||||||
\(422\) | −5.49083 | + | 0.968181i | −0.267289 | + | 0.0471303i | ||||
\(423\) | −26.9851 | − | 14.6102i | −1.31206 | − | 0.710372i | ||||
\(424\) | 2.67434 | + | 0.973379i | 0.129877 | + | 0.0472714i | ||||
\(425\) | −0.602627 | + | 0.347927i | −0.0292317 | + | 0.0168769i | ||||
\(426\) | −17.7450 | − | 14.4807i | −0.859748 | − | 0.701591i | ||||
\(427\) | 10.5015 | − | 8.81180i | 0.508203 | − | 0.426433i | ||||
\(428\) | −6.19857 | + | 5.20122i | −0.299619 | + | 0.251410i | ||||
\(429\) | 5.16300 | + | 4.21323i | 0.249272 | + | 0.203417i | ||||
\(430\) | −0.751668 | + | 0.433976i | −0.0362487 | + | 0.0209282i | ||||
\(431\) | 8.09752 | + | 2.94726i | 0.390044 | + | 0.141964i | 0.529595 | − | 0.848250i | \(-0.322344\pi\) |
−0.139551 | + | 0.990215i | \(0.544566\pi\) | |||||||
\(432\) | −4.11421 | − | 3.17384i | −0.197945 | − | 0.152701i | ||||
\(433\) | 8.52374 | − | 1.50296i | 0.409625 | − | 0.0722279i | 0.0349610 | − | 0.999389i | \(-0.488869\pi\) |
0.374664 | + | 0.927161i | \(0.377758\pi\) | |||||||
\(434\) | −4.87165 | − | 13.3848i | −0.233847 | − | 0.642489i | ||||
\(435\) | −5.50485 | − | 6.38102i | −0.263937 | − | 0.305946i | ||||
\(436\) | 7.37416i | 0.353158i | ||||||||
\(437\) | 20.1400 | + | 29.4564i | 0.963426 | + | 1.40909i | ||||
\(438\) | 1.72613 | − | 10.6387i | 0.0824779 | − | 0.508339i | ||||
\(439\) | −16.0959 | + | 19.1824i | −0.768216 | + | 0.915524i | −0.998338 | − | 0.0576380i | \(-0.981643\pi\) |
0.230122 | + | 0.973162i | \(0.426088\pi\) | |||||||
\(440\) | −6.19127 | + | 2.25344i | −0.295157 | + | 0.107428i | ||||
\(441\) | −0.677615 | + | 4.57121i | −0.0322674 | + | 0.217677i | ||||
\(442\) | 1.32830 | − | 7.53314i | 0.0631806 | − | 0.358315i | ||||
\(443\) | −2.20842 | + | 6.06757i | −0.104925 | + | 0.288279i | −0.981035 | − | 0.193833i | \(-0.937908\pi\) |
0.876110 | + | 0.482112i | \(0.160130\pi\) | |||||||
\(444\) | 1.83741 | + | 4.84107i | 0.0871996 | + | 0.229747i | ||||
\(445\) | −12.1430 | − | 7.01078i | −0.575634 | − | 0.332343i | ||||
\(446\) | 3.33359 | + | 3.97281i | 0.157850 | + | 0.188118i | ||||
\(447\) | −9.58426 | + | 5.70975i | −0.453320 | + | 0.270062i | ||||
\(448\) | −1.16829 | + | 2.02354i | −0.0551965 | + | 0.0956032i | ||||
\(449\) | −11.3528 | − | 19.6637i | −0.535774 | − | 0.927988i | −0.999125 | − | 0.0418133i | \(-0.986687\pi\) |
0.463351 | − | 0.886175i | \(-0.346647\pi\) | |||||||
\(450\) | −0.282480 | − | 0.224147i | −0.0133163 | − | 0.0105664i | ||||
\(451\) | 26.0159 | + | 4.58730i | 1.22504 | + | 0.216007i | ||||
\(452\) | −2.58353 | − | 14.6519i | −0.121519 | − | 0.689168i | ||||
\(453\) | −5.15258 | + | 0.981423i | −0.242089 | + | 0.0461113i | ||||
\(454\) | −13.0510 | − | 10.9511i | −0.612516 | − | 0.513962i | ||||
\(455\) | 6.98624 | 0.327520 | ||||||||
\(456\) | −0.677094 | − | 7.51941i | −0.0317078 | − | 0.352129i | ||||
\(457\) | 9.08970 | 0.425198 | 0.212599 | − | 0.977140i | \(-0.431807\pi\) | ||||
0.212599 | + | 0.977140i | \(0.431807\pi\) | |||||||
\(458\) | 18.7836 | + | 15.7613i | 0.877701 | + | 0.736479i | ||||
\(459\) | −29.8131 | − | 4.00323i | −1.39156 | − | 0.186855i | ||||
\(460\) | −3.21663 | − | 18.2424i | −0.149976 | − | 0.850558i | ||||
\(461\) | −19.6634 | − | 3.46719i | −0.915818 | − | 0.161483i | −0.304174 | − | 0.952617i | \(-0.598380\pi\) |
−0.611644 | + | 0.791133i | \(0.709491\pi\) | |||||||
\(462\) | −10.2849 | − | 5.75179i | −0.478497 | − | 0.267597i | ||||
\(463\) | 0.304139 | + | 0.526785i | 0.0141346 | + | 0.0244818i | 0.873006 | − | 0.487709i | \(-0.162167\pi\) |
−0.858872 | + | 0.512191i | \(0.828834\pi\) | |||||||
\(464\) | −1.07512 | + | 1.86217i | −0.0499114 | + | 0.0864490i | ||||
\(465\) | −12.2279 | − | 20.5255i | −0.567055 | − | 0.951845i | ||||
\(466\) | −14.6817 | − | 17.4969i | −0.680115 | − | 0.810529i | ||||
\(467\) | −13.6575 | − | 7.88518i | −0.631995 | − | 0.364883i | 0.149529 | − | 0.988757i | \(-0.452224\pi\) |
−0.781524 | + | 0.623875i | \(0.785558\pi\) | |||||||
\(468\) | 3.88354 | − | 0.794926i | 0.179516 | − | 0.0367455i | ||||
\(469\) | −12.9749 | + | 35.6482i | −0.599124 | + | 1.64608i | ||||
\(470\) | −4.01919 | + | 22.7939i | −0.185391 | + | 1.05141i | ||||
\(471\) | −33.1204 | + | 0.453270i | −1.52611 | + | 0.0208856i | ||||
\(472\) | 3.11306 | − | 1.13306i | 0.143290 | − | 0.0521533i | ||||
\(473\) | −0.717910 | + | 0.855572i | −0.0330095 | + | 0.0393392i | ||||
\(474\) | 8.87633 | + | 1.44018i | 0.407703 | + | 0.0661498i | ||||
\(475\) | −0.0398441 | − | 0.522432i | −0.00182817 | − | 0.0239708i | ||||
\(476\) | 13.5265i | 0.619988i | ||||||||
\(477\) | 4.46970 | + | 7.27445i | 0.204653 | + | 0.333074i | ||||
\(478\) | 1.03820 | + | 2.85244i | 0.0474864 | + | 0.130468i | ||||
\(479\) | 9.47350 | − | 1.67043i | 0.432855 | − | 0.0763241i | 0.0470248 | − | 0.998894i | \(-0.485026\pi\) |
0.385831 | + | 0.922570i | \(0.373915\pi\) | |||||||
\(480\) | −1.28994 | + | 3.70090i | −0.0588776 | + | 0.168922i | ||||
\(481\) | −3.71200 | − | 1.35106i | −0.169253 | − | 0.0616030i | ||||
\(482\) | −3.42230 | + | 1.97587i | −0.155881 | + | 0.0899982i | ||||
\(483\) | 20.9467 | − | 25.6686i | 0.953106 | − | 1.16796i | ||||
\(484\) | 1.93186 | − | 1.62102i | 0.0878116 | − | 0.0736827i | ||||
\(485\) | 16.5397 | − | 13.8785i | 0.751031 | − | 0.630190i | ||||
\(486\) | −3.75016 | − | 15.1306i | −0.170111 | − | 0.686340i | ||||
\(487\) | 28.7513 | − | 16.5996i | 1.30285 | − | 0.752198i | 0.321954 | − | 0.946755i | \(-0.395660\pi\) |
0.980891 | + | 0.194557i | \(0.0623269\pi\) | |||||||
\(488\) | −5.51318 | − | 2.00663i | −0.249570 | − | 0.0908360i | ||||
\(489\) | 10.1219 | + | 3.52798i | 0.457730 | + | 0.159541i | ||||
\(490\) | 3.43261 | − | 0.605262i | 0.155070 | − | 0.0273430i | ||||
\(491\) | −3.75074 | − | 10.3051i | −0.169268 | − | 0.465061i | 0.825834 | − | 0.563914i | \(-0.190705\pi\) |
−0.995102 | + | 0.0988527i | \(0.968483\pi\) | |||||||
\(492\) | 11.8986 | − | 10.2648i | 0.536428 | − | 0.462772i | ||||
\(493\) | 12.4478i | 0.560623i | ||||||||
\(494\) | 4.68090 | + | 3.35598i | 0.210604 | + | 0.150993i | ||||
\(495\) | −18.7519 | − | 6.24949i | −0.842833 | − | 0.280894i | ||||
\(496\) | −3.91842 | + | 4.66980i | −0.175942 | + | 0.209680i | ||||
\(497\) | −29.0342 | + | 10.5676i | −1.30236 | + | 0.474021i | ||||
\(498\) | 0.0444829 | + | 3.25036i | 0.00199333 | + | 0.145652i | ||||
\(499\) | −5.30316 | + | 30.0757i | −0.237402 | + | 1.34637i | 0.600094 | + | 0.799930i | \(0.295130\pi\) |
−0.837496 | + | 0.546444i | \(0.815981\pi\) | |||||||
\(500\) | 3.77657 | − | 10.3760i | 0.168893 | − | 0.464030i | ||||
\(501\) | 7.07546 | − | 2.68547i | 0.316108 | − | 0.119978i | ||||
\(502\) | 6.28124 | + | 3.62647i | 0.280345 | + | 0.161857i | ||||
\(503\) | 10.7776 | + | 12.8442i | 0.480550 | + | 0.572697i | 0.950788 | − | 0.309843i | \(-0.100276\pi\) |
−0.470238 | + | 0.882540i | \(0.655832\pi\) | |||||||
\(504\) | −6.51893 | + | 2.57684i | −0.290376 | + | 0.114781i | ||||
\(505\) | −14.1616 | + | 24.5286i | −0.630182 | + | 1.09151i | ||||
\(506\) | −11.9181 | − | 20.6428i | −0.529826 | − | 0.917685i | ||||
\(507\) | 9.51436 | − | 17.0128i | 0.422547 | − | 0.755566i | ||||
\(508\) | −7.31524 | − | 1.28987i | −0.324561 | − | 0.0572289i | ||||
\(509\) | 7.27364 | + | 41.2508i | 0.322398 | + | 1.82841i | 0.527360 | + | 0.849642i | \(0.323182\pi\) |
−0.204962 | + | 0.978770i | \(0.565707\pi\) | |||||||
\(510\) | 4.24525 | + | 22.2880i | 0.187983 | + | 0.986930i | ||||
\(511\) | −11.1380 | − | 9.34588i | −0.492716 | − | 0.413438i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 12.4306 | − | 18.9336i | 0.548825 | − | 0.835937i | ||||
\(514\) | 9.26957 | 0.408863 | ||||||||
\(515\) | 15.1974 | + | 12.7521i | 0.669676 | + | 0.561925i | ||||
\(516\) | 0.124310 | + | 0.652641i | 0.00547244 | + | 0.0287309i | ||||
\(517\) | 5.17184 | + | 29.3310i | 0.227457 | + | 1.28997i | ||||
\(518\) | 6.87917 | + | 1.21298i | 0.302254 | + | 0.0532955i | ||||
\(519\) | 12.5941 | − | 22.5198i | 0.552821 | − | 0.988511i | ||||
\(520\) | −1.49497 | − | 2.58936i | −0.0655587 | − | 0.113551i | ||||
\(521\) | 5.82256 | − | 10.0850i | 0.255091 | − | 0.441831i | −0.709829 | − | 0.704374i | \(-0.751228\pi\) |
0.964920 | + | 0.262543i | \(0.0845612\pi\) | |||||||
\(522\) | −5.99907 | + | 2.37134i | −0.262572 | + | 0.103791i | ||||
\(523\) | 1.24233 | + | 1.48055i | 0.0543231 | + | 0.0647398i | 0.792522 | − | 0.609844i | \(-0.208768\pi\) |
−0.738199 | + | 0.674583i | \(0.764323\pi\) | |||||||
\(524\) | −15.4139 | − | 8.89924i | −0.673361 | − | 0.388765i | ||||
\(525\) | −0.454810 | + | 0.172622i | −0.0198495 | + | 0.00753382i | ||||
\(526\) | −1.21399 | + | 3.33541i | −0.0529325 | + | 0.145431i | ||||
\(527\) | −6.12802 | + | 34.7537i | −0.266941 | + | 1.51390i | ||||
\(528\) | 0.0690131 | + | 5.04278i | 0.00300341 | + | 0.219459i | ||||
\(529\) | 41.3611 | − | 15.0542i | 1.79831 | − | 0.654531i | ||||
\(530\) | 4.13944 | − | 4.93319i | 0.179806 | − | 0.214284i | ||||
\(531\) | 9.42870 | + | 3.14233i | 0.409171 | + | 0.136366i | ||||
\(532\) | −9.18212 | − | 4.40696i | −0.398095 | − | 0.191066i | ||||
\(533\) | 11.9882i | 0.519268i | ||||||||
\(534\) | −8.12663 | + | 7.01078i | −0.351674 | + | 0.303386i | ||||
\(535\) | 6.26229 | + | 17.2055i | 0.270742 | + | 0.743858i | ||||
\(536\) | 15.9890 | − | 2.81930i | 0.690621 | − | 0.121775i | ||||
\(537\) | −5.49583 | − | 1.91557i | −0.237163 | − | 0.0826627i | ||||
\(538\) | −4.70855 | − | 1.71377i | −0.203000 | − | 0.0738860i | ||||
\(539\) | 3.88428 | − | 2.24259i | 0.167308 | − | 0.0965953i | ||||
\(540\) | −9.93267 | + | 6.29185i | −0.427434 | + | 0.270758i | ||||
\(541\) | −7.95720 | + | 6.67688i | −0.342107 | + | 0.287062i | −0.797611 | − | 0.603172i | \(-0.793903\pi\) |
0.455505 | + | 0.890233i | \(0.349459\pi\) | |||||||
\(542\) | −7.08482 | + | 5.94487i | −0.304319 | + | 0.255354i | ||||
\(543\) | 21.7565 | − | 26.6610i | 0.933662 | − | 1.14413i | ||||
\(544\) | 5.01345 | − | 2.89452i | 0.214950 | − | 0.124101i | ||||
\(545\) | 15.6798 | + | 5.70700i | 0.671651 | + | 0.244461i | ||||
\(546\) | 1.76006 | − | 5.04967i | 0.0753235 | − | 0.216106i | ||||
\(547\) | 24.0156 | − | 4.23461i | 1.02683 | − | 0.181059i | 0.365235 | − | 0.930915i | \(-0.380989\pi\) |
0.661600 | + | 0.749857i | \(0.269878\pi\) | |||||||
\(548\) | 5.61742 | + | 15.4337i | 0.239964 | + | 0.659297i | ||||
\(549\) | −9.21434 | − | 14.9964i | −0.393258 | − | 0.640029i | ||||
\(550\) | 0.349996i | 0.0149239i | ||||||||
\(551\) | −8.44988 | − | 4.05552i | −0.359977 | − | 0.172771i | ||||
\(552\) | −13.9961 | − | 2.27086i | −0.595712 | − | 0.0966543i | ||||
\(553\) | 7.79765 | − | 9.29287i | 0.331590 | − | 0.395173i | ||||
\(554\) | 7.14241 | − | 2.59963i | 0.303452 | − | 0.110448i | ||||
\(555\) | 11.7157 | − | 0.160335i | 0.497303 | − | 0.00680585i | ||||
\(556\) | 3.35731 | − | 19.0402i | 0.142381 | − | 0.807485i | ||||
\(557\) | −6.96784 | + | 19.1440i | −0.295237 | + | 0.811156i | 0.700042 | + | 0.714101i | \(0.253164\pi\) |
−0.995279 | + | 0.0970547i | \(0.969058\pi\) | |||||||
\(558\) | −17.9165 | + | 3.66734i | −0.758465 | + | 0.155251i | ||||
\(559\) | −0.438936 | − | 0.253420i | −0.0185650 | − | 0.0107185i | ||||
\(560\) | 3.39854 | + | 4.05022i | 0.143614 | + | 0.171153i | ||||
\(561\) | 14.9424 | + | 25.0820i | 0.630869 | + | 1.05896i | ||||
\(562\) | −7.20378 | + | 12.4773i | −0.303873 | + | 0.526324i | ||||
\(563\) | 0.391026 | + | 0.677277i | 0.0164798 | + | 0.0285438i | 0.874148 | − | 0.485660i | \(-0.161421\pi\) |
−0.857668 | + | 0.514204i | \(0.828087\pi\) | |||||||
\(564\) | 15.4630 | + | 8.64760i | 0.651109 | + | 0.364130i | ||||
\(565\) | −33.1541 | − | 5.84597i | −1.39481 | − | 0.245942i | ||||
\(566\) | 1.72121 | + | 9.76147i | 0.0723478 | + | 0.410305i | ||||
\(567\) | −20.1249 | − | 6.10050i | −0.845167 | − | 0.256197i | ||||
\(568\) | 10.1297 | + | 8.49984i | 0.425033 | + | 0.356645i | ||||
\(569\) | 12.5732 | 0.527098 | 0.263549 | − | 0.964646i | \(-0.415107\pi\) | ||||
0.263549 | + | 0.964646i | \(0.415107\pi\) | |||||||
\(570\) | −16.5127 | − | 4.37969i | −0.691642 | − | 0.183445i | ||||
\(571\) | −2.14694 | −0.0898468 | −0.0449234 | − | 0.998990i | \(-0.514304\pi\) | ||||
−0.0449234 | + | 0.998990i | \(0.514304\pi\) | |||||||
\(572\) | −2.94729 | − | 2.47307i | −0.123232 | − | 0.103404i | ||||
\(573\) | 17.4137 | − | 3.31683i | 0.727469 | − | 0.138563i | ||||
\(574\) | −3.68118 | − | 20.8770i | −0.153650 | − | 0.871390i | ||||
\(575\) | −0.969062 | − | 0.170872i | −0.0404127 | − | 0.00712585i | ||||
\(576\) | 2.35004 | + | 1.86475i | 0.0979185 | + | 0.0776979i | ||||
\(577\) | −19.9348 | − | 34.5282i | −0.829898 | − | 1.43743i | −0.898117 | − | 0.439756i | \(-0.855065\pi\) |
0.0682191 | − | 0.997670i | \(-0.478268\pi\) | |||||||
\(578\) | 8.25644 | − | 14.3006i | 0.343423 | − | 0.594826i | ||||
\(579\) | −3.41371 | + | 2.03369i | −0.141869 | + | 0.0845174i | ||||
\(580\) | 3.12752 | + | 3.72723i | 0.129863 | + | 0.154765i | ||||
\(581\) | 3.79772 | + | 2.19262i | 0.157556 | + | 0.0909650i | ||||
\(582\) | −5.86453 | − | 15.4514i | −0.243092 | − | 0.640482i | ||||
\(583\) | 2.83421 | − | 7.78693i | 0.117381 | − | 0.322502i | ||||
\(584\) | −1.08054 | + | 6.12807i | −0.0447132 | + | 0.253581i | ||||
\(585\) | 1.31527 | − | 8.87286i | 0.0543798 | − | 0.366848i | ||||
\(586\) | −7.72838 | + | 2.81290i | −0.319256 | + | 0.116200i | ||||
\(587\) | 28.9490 | − | 34.5001i | 1.19485 | − | 1.42397i | 0.314757 | − | 0.949172i | \(-0.398077\pi\) |
0.880095 | − | 0.474797i | \(-0.157479\pi\) | |||||||
\(588\) | 0.427300 | − | 2.63359i | 0.0176215 | − | 0.108607i | ||||
\(589\) | −21.5951 | − | 15.4826i | −0.889810 | − | 0.637951i | ||||
\(590\) | − | 7.49627i | − | 0.308616i | ||||||
\(591\) | −7.14380 | − | 8.28082i | −0.293856 | − | 0.340627i | ||||
\(592\) | −1.02248 | − | 2.80925i | −0.0420237 | − | 0.115459i | ||||
\(593\) | 29.2417 | − | 5.15610i | 1.20081 | − | 0.211736i | 0.462763 | − | 0.886482i | \(-0.346858\pi\) |
0.738050 | + | 0.674746i | \(0.235747\pi\) | |||||||
\(594\) | −9.24135 | + | 11.9795i | −0.379177 | + | 0.491523i | ||||
\(595\) | 28.7618 | + | 10.4684i | 1.17912 | + | 0.429164i | ||||
\(596\) | 5.57807 | − | 3.22050i | 0.228487 | − | 0.131917i | ||||
\(597\) | 13.9485 | + | 11.3826i | 0.570876 | + | 0.465859i | ||||
\(598\) | 8.28630 | − | 6.95303i | 0.338852 | − | 0.284331i | ||||
\(599\) | 23.2268 | − | 19.4896i | 0.949023 | − | 0.796325i | −0.0301101 | − | 0.999547i | \(-0.509586\pi\) |
0.979133 | + | 0.203222i | \(0.0651413\pi\) | |||||||
\(600\) | 0.161304 | + | 0.131631i | 0.00658521 | + | 0.00537381i | ||||
\(601\) | 19.5471 | − | 11.2855i | 0.797343 | − | 0.460346i | −0.0451983 | − | 0.998978i | \(-0.514392\pi\) |
0.842541 | + | 0.538632i | \(0.181059\pi\) | |||||||
\(602\) | 0.842207 | + | 0.306538i | 0.0343258 | + | 0.0124936i | ||||
\(603\) | 42.8322 | + | 23.1901i | 1.74426 | + | 0.944373i | ||||
\(604\) | 2.98232 | − | 0.525863i | 0.121349 | − | 0.0213971i | ||||
\(605\) | −1.95171 | − | 5.36229i | −0.0793484 | − | 0.218008i | ||||
\(606\) | 14.1616 | + | 16.4156i | 0.575275 | + | 0.666837i | ||||
\(607\) | − | 22.1708i | − | 0.899886i | −0.893057 | − | 0.449943i | \(-0.851444\pi\) | ||
0.893057 | − | 0.449943i | \(-0.148556\pi\) | |||||||
\(608\) | 0.331476 | + | 4.34628i | 0.0134431 | + | 0.176265i | ||||
\(609\) | −1.39371 | + | 8.58989i | −0.0564759 | + | 0.348080i | ||||
\(610\) | −8.53350 | + | 10.1698i | −0.345511 | + | 0.411764i | ||||
\(611\) | −12.7007 | + | 4.62269i | −0.513817 | + | 0.187014i | ||||
\(612\) | 17.1794 | + | 2.54659i | 0.694435 | + | 0.102940i | ||||
\(613\) | −4.39349 | + | 24.9167i | −0.177451 | + | 1.00638i | 0.757825 | + | 0.652458i | \(0.226262\pi\) |
−0.935276 | + | 0.353919i | \(0.884849\pi\) | |||||||
\(614\) | 3.47152 | − | 9.53794i | 0.140099 | − | 0.384920i | ||||
\(615\) | −12.6177 | − | 33.2443i | −0.508797 | − | 1.34054i | ||||
\(616\) | 5.89199 | + | 3.40174i | 0.237395 | + | 0.137060i | ||||
\(617\) | −3.45217 | − | 4.11414i | −0.138979 | − | 0.165629i | 0.692065 | − | 0.721835i | \(-0.256701\pi\) |
−0.831045 | + | 0.556206i | \(0.812257\pi\) | |||||||
\(618\) | 13.0460 | − | 7.77204i | 0.524785 | − | 0.312637i | ||||
\(619\) | −10.8898 | + | 18.8617i | −0.437699 | + | 0.758117i | −0.997512 | − | 0.0705023i | \(-0.977540\pi\) |
0.559813 | + | 0.828619i | \(0.310873\pi\) | |||||||
\(620\) | 6.89696 | + | 11.9459i | 0.276988 | + | 0.479758i | ||||
\(621\) | −28.6568 | − | 31.4358i | −1.14996 | − | 1.26148i | ||||
\(622\) | 11.3524 | + | 2.00174i | 0.455191 | + | 0.0802625i | ||||
\(623\) | 2.51422 | + | 14.2589i | 0.100730 | + | 0.571269i | ||||
\(624\) | −2.24823 | + | 0.428225i | −0.0900013 | + | 0.0171427i | ||||
\(625\) | −19.6004 | − | 16.4467i | −0.784018 | − | 0.657869i | ||||
\(626\) | 2.99772 | 0.119813 | ||||||||
\(627\) | −21.8945 | + | 1.97151i | −0.874380 | + | 0.0787345i | ||||
\(628\) | 19.1238 | 0.763124 | ||||||||
\(629\) | −13.2576 | − | 11.1244i | −0.528614 | − | 0.443560i | ||||
\(630\) | 0.434066 | + | 15.8556i | 0.0172936 | + | 0.631703i | ||||
\(631\) | −2.49759 | − | 14.1646i | −0.0994276 | − | 0.563882i | −0.993300 | − | 0.115561i | \(-0.963133\pi\) |
0.893873 | − | 0.448321i | \(-0.147978\pi\) | |||||||
\(632\) | −5.11289 | − | 0.901541i | −0.203380 | − | 0.0358614i | ||||
\(633\) | 8.42859 | + | 4.71366i | 0.335006 | + | 0.187351i | ||||
\(634\) | −8.22124 | − | 14.2396i | −0.326507 | − | 0.565527i | ||||
\(635\) | −8.40409 | + | 14.5563i | −0.333506 | + | 0.577650i | ||||
\(636\) | −2.52287 | − | 4.23483i | −0.100038 | − | 0.167922i | ||||
\(637\) | 1.30833 | + | 1.55920i | 0.0518378 | + | 0.0617779i | ||||
\(638\) | 5.42212 | + | 3.13046i | 0.214664 | + | 0.123936i | ||||
\(639\) | 7.95520 | + | 38.8644i | 0.314703 | + | 1.53745i | ||||
\(640\) | 0.773919 | − | 2.12632i | 0.0305918 | − | 0.0840503i | ||||
\(641\) | 1.24354 | − | 7.05244i | 0.0491167 | − | 0.278555i | −0.950351 | − | 0.311180i | \(-0.899276\pi\) |
0.999468 | + | 0.0326255i | \(0.0103869\pi\) | |||||||
\(642\) | 14.0139 | − | 0.191787i | 0.553083 | − | 0.00756923i | ||||
\(643\) | 9.97359 | − | 3.63009i | 0.393320 | − | 0.143157i | −0.137786 | − | 0.990462i | \(-0.543999\pi\) |
0.531106 | + | 0.847305i | \(0.321776\pi\) | |||||||
\(644\) | −12.2952 | + | 14.6529i | −0.484500 | + | 0.577404i | ||||
\(645\) | 1.48393 | + | 0.240768i | 0.0584297 | + | 0.00948022i | ||||
\(646\) | 14.2422 | + | 20.8304i | 0.560352 | + | 0.819560i | ||||
\(647\) | − | 25.2527i | − | 0.992786i | −0.868098 | − | 0.496393i | \(-0.834658\pi\) | ||
0.868098 | − | 0.496393i | \(-0.165342\pi\) | |||||||
\(648\) | 2.04541 | + | 8.76449i | 0.0803515 | + | 0.344302i | ||||
\(649\) | −3.29916 | − | 9.06437i | −0.129503 | − | 0.355808i | ||||
\(650\) | −0.156416 | + | 0.0275804i | −0.00613516 | + | 0.00108179i | ||||
\(651\) | −8.11992 | + | 23.2964i | −0.318245 | + | 0.913057i | ||||
\(652\) | −5.81548 | − | 2.11666i | −0.227752 | − | 0.0828949i | ||||
\(653\) | 4.44155 | − | 2.56433i | 0.173811 | − | 0.100350i | −0.410570 | − | 0.911829i | \(-0.634670\pi\) |
0.584382 | + | 0.811479i | \(0.301337\pi\) | |||||||
\(654\) | 8.07529 | − | 9.89567i | 0.315769 | − | 0.386951i | ||||
\(655\) | −30.8518 | + | 25.8877i | −1.20548 | + | 1.01152i | ||||
\(656\) | −6.95009 | + | 5.83182i | −0.271355 | + | 0.227694i | ||||
\(657\) | −13.9666 | + | 12.3863i | −0.544890 | + | 0.483235i | ||||
\(658\) | 20.6984 | − | 11.9502i | 0.806906 | − | 0.465867i | ||||
\(659\) | −39.0596 | − | 14.2165i | −1.52154 | − | 0.553797i | −0.560011 | − | 0.828485i | \(-0.689203\pi\) |
−0.961533 | + | 0.274688i | \(0.911425\pi\) | |||||||
\(660\) | 10.7760 | + | 3.75596i | 0.419455 | + | 0.146201i | ||||
\(661\) | −46.7645 | + | 8.24585i | −1.81893 | + | 0.320726i | −0.976078 | − | 0.217421i | \(-0.930236\pi\) |
−0.842851 | + | 0.538147i | \(0.819125\pi\) | |||||||
\(662\) | 0.597158 | + | 1.64068i | 0.0232092 | + | 0.0637667i | ||||
\(663\) | −10.0319 | + | 8.65443i | −0.389606 | + | 0.336110i | ||||
\(664\) | − | 1.87677i | − | 0.0728329i | ||||||
\(665\) | −16.4768 | + | 16.1135i | −0.638944 | + | 0.624856i | ||||
\(666\) | 2.83566 | − | 8.50852i | 0.109880 | − | 0.329699i | ||||
\(667\) | −11.3147 | + | 13.4844i | −0.438108 | + | 0.522116i | ||||
\(668\) | −4.10586 | + | 1.49441i | −0.158860 | + | 0.0578204i | ||||
\(669\) | −0.122921 | − | 8.98182i | −0.00475240 | − | 0.347257i | ||||
\(670\) | 6.37947 | − | 36.1798i | 0.246460 | − | 1.39775i | ||||
\(671\) | −5.84276 | + | 16.0529i | −0.225557 | + | 0.619713i | ||||
\(672\) | 3.78371 | − | 1.43609i | 0.145960 | − | 0.0553985i | ||||
\(673\) | −37.0622 | − | 21.3979i | −1.42864 | − | 0.824827i | −0.431629 | − | 0.902051i | \(-0.642061\pi\) |
−0.997014 | + | 0.0772240i | \(0.975394\pi\) | |||||||
\(674\) | −9.34273 | − | 11.1342i | −0.359868 | − | 0.428874i | ||||
\(675\) | 0.133613 | + | 0.610130i | 0.00514275 | + | 0.0234839i | ||||
\(676\) | −5.62701 | + | 9.74627i | −0.216424 | + | 0.374857i | ||||
\(677\) | −16.0186 | − | 27.7451i | −0.615646 | − | 1.06633i | −0.990271 | − | 0.139153i | \(-0.955562\pi\) |
0.374625 | − | 0.927176i | \(-0.377771\pi\) | |||||||
\(678\) | −12.5781 | + | 22.4911i | −0.483058 | + | 0.863767i | ||||
\(679\) | −21.9565 | − | 3.87153i | −0.842614 | − | 0.148576i | ||||
\(680\) | −2.27468 | − | 12.9003i | −0.0872299 | − | 0.494705i | ||||
\(681\) | 5.52135 | + | 28.9877i | 0.211578 | + | 1.11081i | ||||
\(682\) | 13.5972 | + | 11.4094i | 0.520662 | + | 0.436887i | ||||
\(683\) | −8.09665 | −0.309810 | −0.154905 | − | 0.987929i | \(-0.549507\pi\) | ||||
−0.154905 | + | 0.987929i | \(0.549507\pi\) | |||||||
\(684\) | −7.32574 | + | 10.8321i | −0.280107 | + | 0.414174i | ||||
\(685\) | 37.1646 | 1.41998 | ||||||||
\(686\) | −15.2867 | − | 12.8270i | −0.583647 | − | 0.489738i | ||||
\(687\) | −7.94656 | − | 41.7203i | −0.303180 | − | 1.59173i | ||||
\(688\) | −0.0666074 | − | 0.377749i | −0.00253938 | − | 0.0144016i | ||||
\(689\) | 3.70340 | + | 0.653009i | 0.141088 | + | 0.0248777i | ||||
\(690\) | −15.6604 | + | 28.0027i | −0.596181 | + | 1.06605i | ||||
\(691\) | 14.6326 | + | 25.3445i | 0.556652 | + | 0.964149i | 0.997773 | + | 0.0667014i | \(0.0212475\pi\) |
−0.441121 | + | 0.897447i | \(0.645419\pi\) | |||||||
\(692\) | −7.44846 | + | 12.9011i | −0.283148 | + | 0.490427i | ||||
\(693\) | 7.50304 | + | 18.9813i | 0.285017 | + | 0.721041i | ||||
\(694\) | −3.46521 | − | 4.12968i | −0.131538 | − | 0.156761i | ||||
\(695\) | −37.8874 | − | 21.8743i | −1.43715 | − | 0.829740i | ||||
\(696\) | 3.48197 | − | 1.32157i | 0.131984 | − | 0.0500940i | ||||
\(697\) | −17.9636 | + | 49.3547i | −0.680421 | + | 1.86944i | ||||
\(698\) | 0.547538 | − | 3.10524i | 0.0207246 | − | 0.117535i | ||||
\(699\) | 0.541363 | + | 39.5574i | 0.0204762 | + | 1.49620i | ||||
\(700\) | 0.263924 | − | 0.0960605i | 0.00997539 | − | 0.00363075i | ||||
\(701\) | −6.18601 | + | 7.37220i | −0.233642 | + | 0.278444i | −0.870108 | − | 0.492861i | \(-0.835951\pi\) |
0.636466 | + | 0.771305i | \(0.280396\pi\) | |||||||
\(702\) | −6.08197 | − | 3.18604i | −0.229549 | − | 0.120249i | ||||
\(703\) | 11.8708 | − | 5.37519i | 0.447717 | − | 0.202729i | ||||
\(704\) | − | 2.91172i | − | 0.109740i | ||||||
\(705\) | 30.3547 | − | 26.1867i | 1.14322 | − | 0.986250i | ||||
\(706\) | 7.74435 | + | 21.2774i | 0.291462 | + | 0.800787i | ||||
\(707\) | 28.8025 | − | 5.07867i | 1.08323 | − | 0.191003i | ||||
\(708\) | −5.41833 | − | 1.88855i | −0.203633 | − | 0.0709760i | ||||
\(709\) | 2.54680 | + | 0.926959i | 0.0956471 | + | 0.0348127i | 0.389400 | − | 0.921069i | \(-0.372682\pi\) |
−0.293753 | + | 0.955881i | \(0.594904\pi\) | |||||||
\(710\) | 25.9130 | − | 14.9609i | 0.972497 | − | 0.561471i | ||||
\(711\) | −10.3344 | − | 11.6529i | −0.387569 | − | 0.437019i | ||||
\(712\) | 4.74686 | − | 3.98309i | 0.177896 | − | 0.149273i | ||||
\(713\) | −38.2284 | + | 32.0774i | −1.43166 | + | 1.20131i | ||||
\(714\) | 14.8126 | − | 18.1518i | 0.554349 | − | 0.679314i | ||||
\(715\) | −7.53951 | + | 4.35294i | −0.281962 | + | 0.162791i | ||||
\(716\) | 3.15759 | + | 1.14927i | 0.118005 | + | 0.0429502i | ||||
\(717\) | 1.73045 | − | 4.96472i | 0.0646247 | − | 0.185411i | ||||
\(718\) | −16.0422 | + | 2.82867i | −0.598690 | + | 0.105565i | ||||
\(719\) | 3.02583 | + | 8.31341i | 0.112845 | + | 0.310038i | 0.983240 | − | 0.182315i | \(-0.0583591\pi\) |
−0.870396 | + | 0.492353i | \(0.836137\pi\) | |||||||
\(720\) | 5.78380 | − | 3.55379i | 0.215550 | − | 0.132442i | ||||
\(721\) | − | 20.4857i | − | 0.762929i | ||||||
\(722\) | −18.7802 | + | 2.88137i | −0.698928 | + | 0.107234i | ||||
\(723\) | 6.75625 | + | 1.09620i | 0.251268 | + | 0.0407681i | ||||
\(724\) | −12.7706 | + | 15.2194i | −0.474615 | + | 0.565625i | ||||
\(725\) | 0.242877 | − | 0.0884000i | 0.00902023 | − | 0.00328309i | ||||
\(726\) | −4.36758 | + | 0.0597726i | −0.162096 | + | 0.00221837i | ||||
\(727\) | −6.48485 | + | 36.7774i | −0.240510 | + | 1.36400i | 0.590183 | + | 0.807269i | \(0.299055\pi\) |
−0.830693 | + | 0.556730i | \(0.812056\pi\) | |||||||
\(728\) | −1.05597 | + | 2.90125i | −0.0391368 | + | 0.107528i | ||||
\(729\) | −11.5368 | + | 24.4111i | −0.427288 | + | 0.904116i | ||||
\(730\) | 12.1940 | + | 7.04021i | 0.451320 | + | 0.260570i | ||||
\(731\) | −1.42733 | − | 1.70103i | −0.0527918 | − | 0.0629149i | ||||
\(732\) | 5.20092 | + | 8.73014i | 0.192232 | + | 0.322675i | ||||
\(733\) | 17.5306 | − | 30.3638i | 0.647506 | − | 1.12151i | −0.336211 | − | 0.941787i | \(-0.609146\pi\) |
0.983717 | − | 0.179726i | \(-0.0575211\pi\) | |||||||
\(734\) | 7.18439 | + | 12.4437i | 0.265181 | + | 0.459306i | ||||
\(735\) | −5.26917 | − | 2.94676i | −0.194356 | − | 0.108693i | ||||
\(736\) | 8.06194 | + | 1.42154i | 0.297167 | + | 0.0523986i | ||||
\(737\) | −8.20902 | − | 46.5557i | −0.302383 | − | 1.71490i | ||||
\(738\) | −27.2079 | + | 0.744848i | −1.00154 | + | 0.0274182i | ||||
\(739\) | 20.2995 | + | 17.0333i | 0.746731 | + | 0.626581i | 0.934636 | − | 0.355606i | \(-0.115725\pi\) |
−0.187905 | + | 0.982187i | \(0.560170\pi\) | |||||||
\(740\) | −6.76468 | −0.248675 | ||||||||
\(741\) | −2.60642 | − | 9.62949i | −0.0957492 | − | 0.353748i | ||||
\(742\) | −6.64984 | −0.244123 | ||||||||
\(743\) | 24.2865 | + | 20.3788i | 0.890984 | + | 0.747624i | 0.968407 | − | 0.249374i | \(-0.0802249\pi\) |
−0.0774234 | + | 0.996998i | \(0.524669\pi\) | |||||||
\(744\) | 10.3721 | − | 1.97559i | 0.380259 | − | 0.0724288i | ||||
\(745\) | −2.53085 | − | 14.3532i | −0.0927233 | − | 0.525860i | ||||
\(746\) | −36.1510 | − | 6.37440i | −1.32358 | − | 0.233383i | ||||
\(747\) | 3.49971 | − | 4.41050i | 0.128048 | − | 0.161372i | ||||
\(748\) | −8.42803 | − | 14.5978i | −0.308159 | − | 0.533748i | ||||
\(749\) | 9.45341 | − | 16.3738i | 0.345420 | − | 0.598285i | ||||
\(750\) | −16.4305 | + | 9.78836i | −0.599957 | + | 0.357420i | ||||
\(751\) | −1.60959 | − | 1.91823i | −0.0587347 | − | 0.0699973i | 0.735877 | − | 0.677115i | \(-0.236770\pi\) |
−0.794612 | + | 0.607118i | \(0.792326\pi\) | |||||||
\(752\) | −8.85839 | − | 5.11440i | −0.323032 | − | 0.186503i | ||||
\(753\) | −4.45776 | − | 11.7450i | −0.162450 | − | 0.428010i | ||||
\(754\) | −0.971760 | + | 2.66989i | −0.0353894 | + | 0.0972316i | ||||
\(755\) | 1.18992 | − | 6.74835i | 0.0433055 | − | 0.245598i | ||||
\(756\) | 11.5698 | + | 3.68079i | 0.420791 | + | 0.133869i | ||||
\(757\) | −7.22987 | + | 2.63146i | −0.262774 | + | 0.0956419i | −0.470048 | − | 0.882641i | \(-0.655763\pi\) |
0.207273 | + | 0.978283i | \(0.433541\pi\) | |||||||
\(758\) | 16.7434 | − | 19.9540i | 0.608147 | − | 0.724761i | ||||
\(759\) | −6.61212 | + | 40.7527i | −0.240005 | + | 1.47923i | ||||
\(760\) | 9.49813 | + | 2.65884i | 0.344533 | + | 0.0964462i | ||||
\(761\) | − | 26.1918i | − | 0.949453i | −0.880133 | − | 0.474727i | \(-0.842547\pi\) | ||
0.880133 | − | 0.474727i | \(-0.157453\pi\) | |||||||
\(762\) | 8.40409 | + | 9.74171i | 0.304448 | + | 0.352905i | ||||
\(763\) | −5.89312 | − | 16.1912i | −0.213345 | − | 0.586161i | ||||
\(764\) | −10.0791 | + | 1.77722i | −0.364649 | + | 0.0642974i | ||||
\(765\) | 18.7103 | − | 34.5581i | 0.676473 | − | 1.24945i | ||||
\(766\) | 2.22943 | + | 0.811445i | 0.0805525 | + | 0.0293187i | ||||
\(767\) | 3.79097 | − | 2.18872i | 0.136884 | − | 0.0790301i | ||||
\(768\) | −1.34194 | − | 1.09508i | −0.0484230 | − | 0.0395153i | ||||
\(769\) | 35.3779 | − | 29.6856i | 1.27576 | − | 1.07049i | 0.281948 | − | 0.959430i | \(-0.409020\pi\) |
0.993814 | − | 0.111061i | \(-0.0354249\pi\) | |||||||
\(770\) | 11.7931 | − | 9.89560i | 0.424995 | − | 0.356613i | ||||
\(771\) | −12.4392 | − | 10.1509i | −0.447987 | − | 0.365577i | ||||
\(772\) | 1.98679 | − | 1.14707i | 0.0715061 | − | 0.0412841i | ||||
\(773\) | 6.91607 | + | 2.51724i | 0.248754 | + | 0.0905390i | 0.463388 | − | 0.886156i | \(-0.346634\pi\) |
−0.214634 | + | 0.976695i | \(0.568856\pi\) | |||||||
\(774\) | 0.547878 | − | 1.01193i | 0.0196931 | − | 0.0363732i | ||||
\(775\) | 0.721618 | − | 0.127241i | 0.0259213 | − | 0.00457062i | ||||
\(776\) | 3.26349 | + | 8.96637i | 0.117153 | + | 0.321874i | ||||
\(777\) | −7.90312 | − | 9.16100i | −0.283523 | − | 0.328649i | ||||
\(778\) | − | 23.4225i | − | 0.839736i | ||||||
\(779\) | −27.6505 | − | 28.2739i | −0.990681 | − | 1.01302i | ||||
\(780\) | −0.829402 | + | 5.11188i | −0.0296973 | + | 0.183035i | ||||
\(781\) | 24.7492 | − | 29.4949i | 0.885596 | − | 1.05541i | ||||
\(782\) | 44.5328 | − | 16.2086i | 1.59249 | − | 0.579618i | ||||
\(783\) | 10.6472 | + | 3.38726i | 0.380500 | + | 0.121051i | ||||
\(784\) | −0.267485 | + | 1.51699i | −0.00955305 | + | 0.0541780i | ||||
\(785\) | 14.8003 | − | 40.6635i | 0.528245 | − | 1.45134i | ||||
\(786\) | 10.9392 | + | 28.8217i | 0.390188 | + | 1.02804i | ||||
\(787\) | 15.0496 | + | 8.68891i | 0.536462 | + | 0.309726i | 0.743644 | − | 0.668576i | \(-0.233096\pi\) |
−0.207182 | + | 0.978302i | \(0.566429\pi\) | |||||||
\(788\) | 4.05866 | + | 4.83693i | 0.144584 | + | 0.172308i | ||||
\(789\) | 5.28164 | − | 3.14650i | 0.188031 | − | 0.112018i | ||||
\(790\) | −5.87393 | + | 10.1739i | −0.208985 | + | 0.361973i | ||||
\(791\) | 17.3818 | + | 30.1061i | 0.618024 | + | 1.07045i | ||||
\(792\) | 5.42964 | − | 6.84268i | 0.192934 | − | 0.243144i | ||||
\(793\) | −7.63460 | − | 1.34619i | −0.271113 | − | 0.0478045i | ||||
\(794\) | 1.19350 | + | 6.76869i | 0.0423558 | + | 0.240212i | ||||
\(795\) | −10.9571 | + | 2.08702i | −0.388609 | + | 0.0740191i | ||||
\(796\) | −7.96251 | − | 6.68134i | −0.282224 | − | 0.236814i | ||||
\(797\) | 4.12081 | 0.145966 | 0.0729832 | − | 0.997333i | \(-0.476748\pi\) | ||||
0.0729832 | + | 0.997333i | \(0.476748\pi\) | |||||||
\(798\) | 7.49587 | + | 15.9690i | 0.265351 | + | 0.565297i | ||||
\(799\) | −59.2148 | −2.09487 | ||||||||
\(800\) | −0.0920802 | − | 0.0772645i | −0.00325553 | − | 0.00273171i | ||||
\(801\) | 18.5828 | − | 0.508726i | 0.656591 | − | 0.0179749i | ||||
\(802\) | −5.39474 | − | 30.5951i | −0.190495 | − | 1.08035i | ||||
\(803\) | 17.8432 | + | 3.14625i | 0.629674 | + | 0.111029i | ||||
\(804\) | −24.5437 | − | 13.7259i | −0.865588 | − | 0.484077i | ||||
\(805\) | 21.6413 | + | 37.4838i | 0.762754 | + | 1.32113i | ||||
\(806\) | −4.02747 | + | 6.97579i | −0.141862 | + | 0.245712i | ||||
\(807\) | 4.44187 | + | 7.45602i | 0.156361 | + | 0.262464i | ||||
\(808\) | −8.04574 | − | 9.58854i | −0.283048 | − | 0.337324i | ||||
\(809\) | 31.6692 | + | 18.2842i | 1.11343 | + | 0.642839i | 0.939716 | − | 0.341957i | \(-0.111090\pi\) |
0.173714 | + | 0.984796i | \(0.444423\pi\) | |||||||
\(810\) | 20.2191 | + | 2.43379i | 0.710428 | + | 0.0855146i | ||||
\(811\) | 12.5283 | − | 34.4211i | 0.439927 | − | 1.20869i | −0.499613 | − | 0.866249i | \(-0.666524\pi\) |
0.939540 | − | 0.342440i | \(-0.111253\pi\) | |||||||
\(812\) | 0.872448 | − | 4.94790i | 0.0306169 | − | 0.173637i | ||||
\(813\) | 16.0175 | − | 0.219208i | 0.561758 | − | 0.00768795i | ||||
\(814\) | −8.17975 | + | 2.97719i | −0.286700 | + | 0.104350i | ||||
\(815\) | −9.00142 | + | 10.7275i | −0.315306 | + | 0.375767i | ||||
\(816\) | −9.89747 | − | 1.60586i | −0.346481 | − | 0.0562165i | ||||
\(817\) | 1.61972 | − | 0.414709i | 0.0566670 | − | 0.0145088i | ||||
\(818\) | − | 8.78520i | − | 0.307167i | ||||||
\(819\) | −7.89168 | + | 4.84895i | −0.275758 | + | 0.169436i | ||||
\(820\) | 7.02153 | + | 19.2915i | 0.245202 | + | 0.673688i | ||||
\(821\) | −40.6182 | + | 7.16208i | −1.41758 | + | 0.249958i | −0.829349 | − | 0.558732i | \(-0.811288\pi\) |
−0.588235 | + | 0.808690i | \(0.700177\pi\) | |||||||
\(822\) | 9.36294 | − | 26.8627i | 0.326570 | − | 0.936943i | ||||
\(823\) | 40.6757 | + | 14.8047i | 1.41787 | + | 0.516061i | 0.933428 | − | 0.358765i | \(-0.116802\pi\) |
0.484438 | + | 0.874826i | \(0.339024\pi\) | |||||||
\(824\) | −7.59279 | + | 4.38370i | −0.264507 | + | 0.152713i | ||||
\(825\) | 0.383273 | − | 0.469673i | 0.0133439 | − | 0.0163519i | ||||
\(826\) | −5.92975 | + | 4.97565i | −0.206322 | + | 0.173125i | ||||
\(827\) | −17.4100 | + | 14.6087i | −0.605405 | + | 0.507995i | −0.893178 | − | 0.449704i | \(-0.851530\pi\) |
0.287773 | + | 0.957699i | \(0.407085\pi\) | |||||||
\(828\) | 16.2951 | + | 18.3742i | 0.566294 | + | 0.638547i | ||||
\(829\) | −6.17465 | + | 3.56494i | −0.214455 | + | 0.123815i | −0.603380 | − | 0.797454i | \(-0.706180\pi\) |
0.388925 | + | 0.921269i | \(0.372846\pi\) | |||||||
\(830\) | −3.99063 | − | 1.45247i | −0.138517 | − | 0.0504159i | ||||
\(831\) | −12.4315 | − | 4.33298i | −0.431243 | − | 0.150309i | ||||
\(832\) | 1.30128 | − | 0.229450i | 0.0451137 | − | 0.00795476i | ||||
\(833\) | 3.04991 | + | 8.37957i | 0.105673 | + | 0.290335i | ||||
\(834\) | −25.3559 | + | 21.8743i | −0.878002 | + | 0.757445i | ||||
\(835\) | 9.88693i | 0.342151i | ||||||||
\(836\) | 12.6552 | − | 0.965166i | 0.437688 | − | 0.0333810i | ||||
\(837\) | 28.0588 | + | 14.6986i | 0.969855 | + | 0.508058i | ||||
\(838\) | −0.172686 | + | 0.205799i | −0.00596534 | + | 0.00710922i | ||||
\(839\) | −1.63571 | + | 0.595349i | −0.0564710 | + | 0.0205537i | −0.370101 | − | 0.928991i | \(-0.620677\pi\) |
0.313630 | + | 0.949545i | \(0.398455\pi\) | |||||||
\(840\) | −0.125316 | − | 9.15681i | −0.00432381 | − | 0.315940i | ||||
\(841\) | −4.23292 | + | 24.0061i | −0.145963 | + | 0.827797i | ||||
\(842\) | −6.44528 | + | 17.7083i | −0.222119 | + | 0.610267i | ||||
\(843\) | 23.3307 | − | 8.85508i | 0.803551 | − | 0.304985i | ||||
\(844\) | −4.82855 | − | 2.78777i | −0.166206 | − | 0.0959589i | ||||
\(845\) | 16.3689 | + | 19.5077i | 0.563107 | + | 0.671084i | ||||
\(846\) | −11.2805 | − | 28.5377i | −0.387833 | − | 0.981148i | ||||
\(847\) | −2.94626 | + | 5.10308i | −0.101235 | + | 0.175344i | ||||
\(848\) | 1.42298 | + | 2.46468i | 0.0488655 | + | 0.0846375i | ||||
\(849\) | 8.37983 | − | 14.9842i | 0.287595 | − | 0.514255i | ||||
\(850\) | −0.685283 | − | 0.120834i | −0.0235050 | − | 0.00414457i | ||||
\(851\) | −4.24974 | − | 24.1015i | −0.145679 | − | 0.826187i | ||||
\(852\) | −4.28545 | − | 22.4991i | −0.146817 | − | 0.770807i | ||||
\(853\) | −22.0984 | − | 18.5427i | −0.756634 | − | 0.634891i | 0.180614 | − | 0.983554i | \(-0.442191\pi\) |
−0.937248 | + | 0.348663i | \(0.886636\pi\) | |||||||
\(854\) | 13.7087 | 0.469103 | ||||||||
\(855\) | 17.3629 | + | 23.9600i | 0.593800 | + | 0.819415i | ||||
\(856\) | −8.09166 | −0.276567 | ||||||||
\(857\) | 9.31787 | + | 7.81862i | 0.318292 | + | 0.267079i | 0.787909 | − | 0.615791i | \(-0.211164\pi\) |
−0.469617 | + | 0.882870i | \(0.655608\pi\) | |||||||
\(858\) | 1.24687 | + | 6.54623i | 0.0425676 | + | 0.223485i | ||||
\(859\) | 3.16859 | + | 17.9700i | 0.108111 | + | 0.613127i | 0.989932 | + | 0.141543i | \(0.0452064\pi\) |
−0.881821 | + | 0.471584i | \(0.843682\pi\) | |||||||
\(860\) | −0.854766 | − | 0.150718i | −0.0291473 | − | 0.00513945i | ||||
\(861\) | −17.9221 | + | 32.0469i | −0.610783 | + | 1.09216i | ||||
\(862\) | 4.30860 | + | 7.46272i | 0.146752 | + | 0.254181i | ||||
\(863\) | 22.3079 | − | 38.6385i | 0.759371 | − | 1.31527i | −0.183800 | − | 0.982964i | \(-0.558840\pi\) |
0.943172 | − | 0.332306i | \(-0.107827\pi\) | |||||||
\(864\) | −1.11157 | − | 5.07587i | −0.0378162 | − | 0.172684i | ||||
\(865\) | 21.6674 | + | 25.8223i | 0.736715 | + | 0.877983i | ||||
\(866\) | 7.49565 | + | 4.32761i | 0.254712 | + | 0.147058i | ||||
\(867\) | −26.7399 | + | 10.1490i | −0.908135 | + | 0.344679i | ||||
\(868\) | 4.87165 | − | 13.3848i | 0.165355 | − | 0.454308i | ||||
\(869\) | −2.62504 | + | 14.8873i | −0.0890483 | + | 0.505018i | ||||
\(870\) | −0.115322 | − | 8.42659i | −0.00390979 | − | 0.285688i | ||||
\(871\) | 20.1593 | − | 7.33738i | 0.683072 | − | 0.248618i | ||||
\(872\) | −4.74002 | + | 5.64893i | −0.160517 | + | 0.191297i | ||||
\(873\) | −9.05069 | + | 27.1570i | −0.306320 | + | 0.919124i | ||||
\(874\) | −3.50606 | + | 35.5106i | −0.118594 | + | 1.20116i | ||||
\(875\) | 25.8004i | 0.872212i | ||||||||
\(876\) | 8.16075 | − | 7.04021i | 0.275726 | − | 0.237867i | ||||
\(877\) | −1.46003 | − | 4.01139i | −0.0493016 | − | 0.135455i | 0.912598 | − | 0.408858i | \(-0.134073\pi\) |
−0.961900 | + | 0.273403i | \(0.911851\pi\) | |||||||
\(878\) | −24.6604 | + | 4.34829i | −0.832247 | + | 0.146748i | ||||
\(879\) | 13.4514 | + | 4.68845i | 0.453703 | + | 0.158138i | ||||
\(880\) | −6.19127 | − | 2.25344i | −0.208708 | − | 0.0759634i | ||||
\(881\) | −9.81390 | + | 5.66606i | −0.330639 | + | 0.190894i | −0.656125 | − | 0.754653i | \(-0.727805\pi\) |
0.325486 | + | 0.945547i | \(0.394472\pi\) | |||||||
\(882\) | −3.45740 | + | 3.06619i | −0.116417 | + | 0.103244i | ||||
\(883\) | 30.0308 | − | 25.1988i | 1.01062 | − | 0.848008i | 0.0221970 | − | 0.999754i | \(-0.492934\pi\) |
0.988420 | + | 0.151746i | \(0.0484895\pi\) | |||||||
\(884\) | 5.85974 | − | 4.91691i | 0.197085 | − | 0.165374i | ||||
\(885\) | −8.20901 | + | 10.0595i | −0.275943 | + | 0.338147i | ||||
\(886\) | −5.59191 | + | 3.22849i | −0.187864 | + | 0.108463i | ||||
\(887\) | 38.4635 | + | 13.9996i | 1.29148 | + | 0.470059i | 0.894212 | − | 0.447644i | \(-0.147737\pi\) |
0.397266 | + | 0.917704i | \(0.369959\pi\) | |||||||
\(888\) | −1.70424 | + | 4.88954i | −0.0571906 | + | 0.164082i | ||||
\(889\) | 17.0927 | − | 3.01390i | 0.573269 | − | 0.101083i | ||||
\(890\) | −4.79565 | − | 13.1760i | −0.160751 | − | 0.441659i | ||||
\(891\) | 25.5198 | − | 5.95568i | 0.854945 | − | 0.199523i | ||||
\(892\) | 5.18614i | 0.173645i | ||||||||
\(893\) | 19.2922 | − | 40.1963i | 0.645590 | − | 1.34512i | ||||
\(894\) | −11.0121 | − | 1.78672i | −0.368301 | − | 0.0597568i | ||||
\(895\) | 4.88744 | − | 5.82462i | 0.163369 | − | 0.194696i | ||||
\(896\) | −2.19567 | + | 0.799158i | −0.0733521 | + | 0.0266980i | ||||
\(897\) | −18.7338 | + | 0.256382i | −0.625505 | + | 0.00856036i | ||||
\(898\) | 3.94280 | − | 22.3607i | 0.131573 | − | 0.746188i | ||||
\(899\) | 4.48316 | − | 12.3174i | 0.149522 | − | 0.410807i | ||||
\(900\) | −0.0723136 | − | 0.353281i | −0.00241045 | − | 0.0117760i | ||||
\(901\) | 14.2681 | + | 8.23770i | 0.475340 | + | 0.274438i | ||||
\(902\) | 16.9806 | + | 20.2367i | 0.565394 | + | 0.673810i | ||||
\(903\) | −0.794506 | − | 1.33364i | −0.0264395 | − | 0.0443808i | ||||
\(904\) | 7.43897 | − | 12.8847i | 0.247416 | − | 0.428538i | ||||
\(905\) | 22.4780 | + | 38.9330i | 0.747193 | + | 1.29418i | ||||
\(906\) | −4.57795 | − | 2.56020i | −0.152092 | − | 0.0850570i | ||||
\(907\) | −21.5815 | − | 3.80540i | −0.716602 | − | 0.126356i | −0.196554 | − | 0.980493i | \(-0.562975\pi\) |
−0.520049 | + | 0.854137i | \(0.674086\pi\) | |||||||
\(908\) | −2.95843 | − | 16.7781i | −0.0981790 | − | 0.556801i | ||||
\(909\) | −1.02761 | − | 37.5368i | −0.0340838 | − | 1.24502i | ||||
\(910\) | 5.35177 | + | 4.49067i | 0.177409 | + | 0.148864i | ||||
\(911\) | −41.3461 | −1.36986 | −0.684928 | − | 0.728610i | \(-0.740167\pi\) | ||||
−0.684928 | + | 0.728610i | \(0.740167\pi\) | |||||||
\(912\) | 4.31470 | − | 6.19543i | 0.142874 | − | 0.205151i | ||||
\(913\) | −5.46465 | −0.180853 | ||||||||
\(914\) | 6.96311 | + | 5.84275i | 0.230319 | + | 0.193261i | ||||
\(915\) | 22.5882 | − | 4.30242i | 0.746743 | − | 0.142234i | ||||
\(916\) | 4.25790 | + | 24.1478i | 0.140685 | + | 0.797865i | ||||
\(917\) | 40.9558 | + | 7.22161i | 1.35248 | + | 0.238479i | ||||
\(918\) | −20.2650 | − | 22.2302i | −0.668843 | − | 0.733704i | ||||
\(919\) | −15.0651 | − | 26.0936i | −0.496953 | − | 0.860748i | 0.503041 | − | 0.864263i | \(-0.332214\pi\) |
−0.999994 | + | 0.00351494i | \(0.998881\pi\) | |||||||
\(920\) | 9.26193 | − | 16.0421i | 0.305357 | − | 0.528894i | ||||
\(921\) | −15.1034 | + | 8.99773i | −0.497673 | + | 0.296485i | ||||
\(922\) | −12.8344 | − | 15.2954i | −0.422678 | − | 0.503728i | ||||
\(923\) | 15.1319 | + | 8.73639i | 0.498071 | + | 0.287562i | ||||
\(924\) | −4.18151 | − | 11.0171i | −0.137562 | − | 0.362437i | ||||
\(925\) | −0.122905 | + | 0.337677i | −0.00404108 | + | 0.0111028i | ||||
\(926\) | −0.105627 | + | 0.599038i | −0.00347110 | + | 0.0196856i | ||||
\(927\) | −26.0179 | − | 3.85677i | −0.854539 | − | 0.126673i | ||||
\(928\) | −2.02057 | + | 0.735428i | −0.0663285 | + | 0.0241416i | ||||
\(929\) | −3.69874 | + | 4.40799i | −0.121352 | + | 0.144621i | −0.823300 | − | 0.567607i | \(-0.807869\pi\) |
0.701948 | + | 0.712228i | \(0.252314\pi\) | |||||||
\(930\) | 3.82640 | − | 23.5834i | 0.125473 | − | 0.773329i | ||||
\(931\) | −6.68190 | − | 0.659722i | −0.218991 | − | 0.0216215i | ||||
\(932\) | − | 22.8406i | − | 0.748169i | ||||||
\(933\) | −13.0422 | − | 15.1180i | −0.426983 | − | 0.494942i | ||||
\(934\) | −5.39378 | − | 14.8193i | −0.176490 | − | 0.484902i | ||||
\(935\) | −37.5622 | + | 6.62323i | −1.22842 | + | 0.216603i | ||||
\(936\) | 3.48593 | + | 1.88734i | 0.113941 | + | 0.0616896i | ||||
\(937\) | −19.6146 | − | 7.13914i | −0.640782 | − | 0.233226i | 0.00113542 | − | 0.999999i | \(-0.499639\pi\) |
−0.641917 | + | 0.766774i | \(0.721861\pi\) | |||||||
\(938\) | −32.8535 | + | 18.9680i | −1.07271 | + | 0.619327i | ||||
\(939\) | −4.02275 | − | 3.28274i | −0.131278 | − | 0.107128i | ||||
\(940\) | −17.7305 | + | 14.8777i | −0.578306 | + | 0.485257i | ||||
\(941\) | 13.7670 | − | 11.5519i | 0.448792 | − | 0.376581i | −0.390196 | − | 0.920732i | \(-0.627593\pi\) |
0.838987 | + | 0.544151i | \(0.183148\pi\) | |||||||
\(942\) | −25.6630 | − | 20.9421i | −0.836147 | − | 0.682332i | ||||
\(943\) | −64.3213 | + | 37.1359i | −2.09459 | + | 1.20931i | ||||
\(944\) | 3.11306 | + | 1.13306i | 0.101321 | + | 0.0368780i | ||||
\(945\) | 16.7807 | − | 21.7526i | 0.545875 | − | 0.707612i | ||||
\(946\) | −1.09990 | + | 0.193942i | −0.0357609 | + | 0.00630561i | ||||
\(947\) | 3.35631 | + | 9.22139i | 0.109065 | + | 0.299655i | 0.982204 | − | 0.187817i | \(-0.0601413\pi\) |
−0.873139 | + | 0.487472i | \(0.837919\pi\) | |||||||
\(948\) | 5.87393 | + | 6.80884i | 0.190776 | + | 0.221141i | ||||
\(949\) | 8.22225i | 0.266906i | ||||||||
\(950\) | 0.305290 | − | 0.425817i | 0.00990493 | − | 0.0138153i | ||||
\(951\) | −4.56110 | + | 28.1116i | −0.147904 | + | 0.911581i | ||||
\(952\) | −8.69469 | + | 10.3619i | −0.281797 | + | 0.335832i | ||||
\(953\) | −9.56813 | + | 3.48251i | −0.309942 | + | 0.112810i | −0.492308 | − | 0.870421i | \(-0.663847\pi\) |
0.182366 | + | 0.983231i | \(0.441624\pi\) | |||||||
\(954\) | −1.25194 | + | 8.44562i | −0.0405330 | + | 0.273437i | ||||
\(955\) | −4.02146 | + | 22.8068i | −0.130131 | + | 0.738012i | ||||
\(956\) | −1.03820 | + | 2.85244i | −0.0335779 | + | 0.0922546i | ||||
\(957\) | −3.84805 | − | 10.1385i | −0.124390 | − | 0.327733i | ||||
\(958\) | 8.33086 | + | 4.80982i | 0.269158 | + | 0.155398i | ||||
\(959\) | −24.6680 | − | 29.3982i | −0.796571 | − | 0.949316i | ||||
\(960\) | −3.36705 | + | 2.00589i | −0.108671 | + | 0.0647399i | ||||
\(961\) | 3.08051 | − | 5.33561i | 0.0993714 | − | 0.172116i | ||||
\(962\) | −1.97512 | − | 3.42100i | −0.0636803 | − | 0.110298i | ||||
\(963\) | −19.0158 | − | 15.0889i | −0.612774 | − | 0.486234i | ||||
\(964\) | −3.89169 | − | 0.686211i | −0.125343 | − | 0.0221014i | ||||
\(965\) | −0.901436 | − | 5.11230i | −0.0290183 | − | 0.164571i | ||||
\(966\) | 32.5455 | − | 6.19901i | 1.04713 | − | 0.199450i | ||||
\(967\) | 34.6570 | + | 29.0807i | 1.11449 | + | 0.935171i | 0.998313 | − | 0.0580574i | \(-0.0184906\pi\) |
0.116180 | + | 0.993228i | \(0.462935\pi\) | |||||||
\(968\) | 2.52186 | 0.0810556 | ||||||||
\(969\) | 3.69876 | − | 43.5494i | 0.118821 | − | 1.39901i | ||||
\(970\) | 21.5911 | 0.693248 | ||||||||
\(971\) | 11.6835 | + | 9.80361i | 0.374941 | + | 0.314613i | 0.810712 | − | 0.585444i | \(-0.199080\pi\) |
−0.435772 | + | 0.900057i | \(0.643524\pi\) | |||||||
\(972\) | 6.85300 | − | 14.0013i | 0.219810 | − | 0.449092i | ||||
\(973\) | 7.84462 | + | 44.4890i | 0.251487 | + | 1.42625i | ||||
\(974\) | 32.6948 | + | 5.76497i | 1.04761 | + | 0.184722i | ||||
\(975\) | 0.240104 | + | 0.134277i | 0.00768949 | + | 0.00430031i | ||||
\(976\) | −2.93350 | − | 5.08097i | −0.0938990 | − | 0.162638i | ||||
\(977\) | −29.3626 | + | 50.8576i | −0.939394 | + | 1.62708i | −0.172789 | + | 0.984959i | \(0.555278\pi\) |
−0.766605 | + | 0.642119i | \(0.778055\pi\) | |||||||
\(978\) | 5.48611 | + | 9.20885i | 0.175426 | + | 0.294466i | ||||
\(979\) | −11.5977 | − | 13.8216i | −0.370663 | − | 0.441739i | ||||
\(980\) | 3.01859 | + | 1.74278i | 0.0964253 | + | 0.0556712i | ||||
\(981\) | −21.6731 | + | 4.43629i | −0.691969 | + | 0.141640i | ||||
\(982\) | 3.75074 | − | 10.3051i | 0.119691 | − | 0.328848i | ||||
\(983\) | 6.80396 | − | 38.5872i | 0.217013 | − | 1.23074i | −0.660367 | − | 0.750943i | \(-0.729599\pi\) |
0.877380 | − | 0.479797i | \(-0.159290\pi\) | |||||||
\(984\) | 15.7129 | − | 0.215039i | 0.500909 | − | 0.00685520i | ||||
\(985\) | 13.4259 | − | 4.88664i | 0.427786 | − | 0.155701i | ||||
\(986\) | −8.00132 | + | 9.53561i | −0.254814 | + | 0.303676i | ||||
\(987\) | −40.8624 | − | 6.62991i | −1.30066 | − | 0.211033i | ||||
\(988\) | 1.42860 | + | 5.57966i | 0.0454497 | + | 0.177513i | ||||
\(989\) | − | 3.14008i | − | 0.0998486i | ||||||
\(990\) | −10.3477 | − | 16.8408i | −0.328870 | − | 0.535237i | ||||
\(991\) | −13.8647 | − | 38.0930i | −0.440428 | − | 1.21007i | −0.939212 | − | 0.343339i | \(-0.888442\pi\) |
0.498784 | − | 0.866726i | \(-0.333780\pi\) | |||||||
\(992\) | −6.00337 | + | 1.05856i | −0.190607 | + | 0.0336092i | ||||
\(993\) | 0.995324 | − | 2.85562i | 0.0315856 | − | 0.0906205i | ||||
\(994\) | −29.0342 | − | 10.5676i | −0.920909 | − | 0.335183i | ||||
\(995\) | −20.3690 | + | 11.7601i | −0.645742 | + | 0.372819i | ||||
\(996\) | −2.05522 | + | 2.51851i | −0.0651220 | + | 0.0798022i | ||||
\(997\) | 46.7056 | − | 39.1907i | 1.47918 | − | 1.24118i | 0.572131 | − | 0.820162i | \(-0.306117\pi\) |
0.907052 | − | 0.421019i | \(-0.138327\pi\) | |||||||
\(998\) | −23.3947 | + | 19.6305i | −0.740548 | + | 0.621393i | ||||
\(999\) | −13.1228 | + | 8.31264i | −0.415187 | + | 0.263000i |
(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 | 114.2.l.b.41.2 | yes | 18 | |
3.2 | odd | 2 | 114.2.l.a.41.2 | ✓ | 18 | ||
4.3 | odd | 2 | 912.2.cc.c.497.2 | 18 | |||
12.11 | even | 2 | 912.2.cc.d.497.2 | 18 | |||
19.13 | odd | 18 | 114.2.l.a.89.2 | yes | 18 | ||
57.32 | even | 18 | inner | 114.2.l.b.89.2 | yes | 18 | |
76.51 | even | 18 | 912.2.cc.d.545.2 | 18 | |||
228.203 | odd | 18 | 912.2.cc.c.545.2 | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
114.2.l.a.41.2 | ✓ | 18 | 3.2 | odd | 2 | ||
114.2.l.a.89.2 | yes | 18 | 19.13 | odd | 18 | ||
114.2.l.b.41.2 | yes | 18 | 1.1 | even | 1 | trivial | |
114.2.l.b.89.2 | yes | 18 | 57.32 | even | 18 | inner | |
912.2.cc.c.497.2 | 18 | 4.3 | odd | 2 | |||
912.2.cc.c.545.2 | 18 | 228.203 | odd | 18 | |||
912.2.cc.d.497.2 | 18 | 12.11 | even | 2 | |||
912.2.cc.d.545.2 | 18 | 76.51 | even | 18 |