Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [725,2,Mod(51,725)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(725, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([0, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("725.51");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 725 = 5^{2} \cdot 29 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 725.q (of order \(14\), 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: | \(5.78915414654\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{14})\) |
Coefficient field: | 12.0.7877952219361.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 3x^{11} + 13x^{9} - 18x^{8} - 14x^{7} + 57x^{6} - 28x^{5} - 72x^{4} + 104x^{3} - 96x + 64 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 29) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 676.1 | ||
Root | \(0.911180 + 1.08155i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 725.676 |
Dual form | 725.2.q.a.651.1 |
$q$-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 \(\left(\mathbb{Z}/725\mathbb{Z}\right)^\times\).
\(n\) | \(176\) | \(552\) |
\(\chi(n)\) | \(e\left(\frac{5}{14}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0741982 | − | 0.154074i | −0.0524661 | − | 0.108947i | 0.873088 | − | 0.487563i | \(-0.162114\pi\) |
−0.925554 | + | 0.378617i | \(0.876400\pi\) | |||||||
\(3\) | 0.879032 | − | 0.701005i | 0.507509 | − | 0.404725i | −0.335982 | − | 0.941869i | \(-0.609068\pi\) |
0.843491 | + | 0.537143i | \(0.180497\pi\) | |||||||
\(4\) | 1.22875 | − | 1.54080i | 0.614373 | − | 0.770399i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −0.173229 | − | 0.0834229i | −0.0707206 | − | 0.0340572i | ||||
\(7\) | 1.82432 | + | 2.28763i | 0.689529 | + | 0.864642i | 0.996193 | − | 0.0871757i | \(-0.0277842\pi\) |
−0.306664 | + | 0.951818i | \(0.599213\pi\) | |||||||
\(8\) | −0.662012 | − | 0.151100i | −0.234057 | − | 0.0534219i | ||||
\(9\) | −0.386273 | + | 1.69237i | −0.128758 | + | 0.564124i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 3.89257 | − | 0.888454i | 1.17365 | − | 0.267879i | 0.409132 | − | 0.912475i | \(-0.365832\pi\) |
0.764523 | + | 0.644596i | \(0.222975\pi\) | |||||||
\(12\) | − | 2.21577i | − | 0.639637i | ||||||
\(13\) | −0.625512 | − | 2.74055i | −0.173486 | − | 0.760091i | −0.984546 | − | 0.175128i | \(-0.943966\pi\) |
0.811060 | − | 0.584963i | \(-0.198891\pi\) | |||||||
\(14\) | 0.217103 | − | 0.450819i | 0.0580232 | − | 0.120486i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.851229 | − | 3.72948i | −0.212807 | − | 0.932370i | ||||
\(17\) | 0.482650i | 0.117060i | 0.998286 | + | 0.0585299i | \(0.0186413\pi\) | ||||
−0.998286 | + | 0.0585299i | \(0.981359\pi\) | |||||||
\(18\) | 0.289412 | − | 0.0660563i | 0.0682150 | − | 0.0155696i | ||||
\(19\) | 2.38432 | + | 1.90144i | 0.547002 | + | 0.436219i | 0.857596 | − | 0.514323i | \(-0.171957\pi\) |
−0.310595 | + | 0.950542i | \(0.600528\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 3.20728 | + | 0.732040i | 0.699885 | + | 0.159744i | ||||
\(22\) | −0.425710 | − | 0.533823i | −0.0907616 | − | 0.113811i | ||||
\(23\) | 4.96829 | + | 2.39260i | 1.03596 | + | 0.498892i | 0.872989 | − | 0.487739i | \(-0.162178\pi\) |
0.162970 | + | 0.986631i | \(0.447893\pi\) | |||||||
\(24\) | −0.687851 | + | 0.331252i | −0.140407 | + | 0.0676165i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −0.375836 | + | 0.299719i | −0.0737075 | + | 0.0587797i | ||||
\(27\) | 2.31029 | + | 4.79737i | 0.444616 | + | 0.923255i | ||||
\(28\) | 5.76640 | 1.08975 | ||||||||
\(29\) | −4.99718 | + | 2.00704i | −0.927953 | + | 0.372698i | ||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.67239 | − | 3.47275i | −0.300370 | − | 0.623724i | 0.695088 | − | 0.718924i | \(-0.255365\pi\) |
−0.995458 | + | 0.0952000i | \(0.969651\pi\) | |||||||
\(32\) | −1.57324 | + | 1.25462i | −0.278112 | + | 0.221787i | ||||
\(33\) | 2.79888 | − | 3.50969i | 0.487223 | − | 0.610959i | ||||
\(34\) | 0.0743639 | − | 0.0358118i | 0.0127533 | − | 0.00614167i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 2.13297 | + | 2.67467i | 0.355496 | + | 0.445778i | ||||
\(37\) | −11.2541 | − | 2.56868i | −1.85016 | − | 0.422288i | −0.854840 | − | 0.518891i | \(-0.826345\pi\) |
−0.995323 | + | 0.0966033i | \(0.969202\pi\) | |||||||
\(38\) | 0.116049 | − | 0.508446i | 0.0188257 | − | 0.0824808i | ||||
\(39\) | −2.47098 | − | 1.97054i | −0.395674 | − | 0.315539i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | − | 5.10756i | − | 0.797667i | −0.917023 | − | 0.398833i | \(-0.869415\pi\) | ||
0.917023 | − | 0.398833i | \(-0.130585\pi\) | |||||||
\(42\) | −0.125186 | − | 0.548475i | −0.0193166 | − | 0.0846315i | ||||
\(43\) | 3.56577 | − | 7.40439i | 0.543775 | − | 1.12916i | −0.430248 | − | 0.902711i | \(-0.641574\pi\) |
0.974023 | − | 0.226449i | \(-0.0727117\pi\) | |||||||
\(44\) | 3.41405 | − | 7.08936i | 0.514688 | − | 1.06876i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | − | 0.943011i | − | 0.139039i | ||||||
\(47\) | −2.32767 | + | 0.531276i | −0.339526 | + | 0.0774946i | −0.388885 | − | 0.921287i | \(-0.627139\pi\) |
0.0493584 | + | 0.998781i | \(0.484282\pi\) | |||||||
\(48\) | −3.36264 | − | 2.68162i | −0.485355 | − | 0.387058i | ||||
\(49\) | −0.347443 | + | 1.52225i | −0.0496347 | + | 0.217464i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.338340 | + | 0.424265i | 0.0473771 | + | 0.0594090i | ||||
\(52\) | −4.99123 | − | 2.40365i | −0.692159 | − | 0.333326i | ||||
\(53\) | −0.401975 | + | 0.193581i | −0.0552156 | + | 0.0265904i | −0.461288 | − | 0.887251i | \(-0.652612\pi\) |
0.406072 | + | 0.913841i | \(0.366898\pi\) | |||||||
\(54\) | 0.567732 | − | 0.711913i | 0.0772585 | − | 0.0968791i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −0.862063 | − | 1.79009i | −0.115198 | − | 0.239211i | ||||
\(57\) | 3.42881 | 0.454157 | ||||||||
\(58\) | 0.680015 | + | 0.621017i | 0.0892904 | + | 0.0815436i | ||||
\(59\) | 1.24537 | 0.162133 | 0.0810664 | − | 0.996709i | \(-0.474167\pi\) | ||||
0.0810664 | + | 0.996709i | \(0.474167\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −6.71717 | + | 5.35677i | −0.860046 | + | 0.685864i | −0.950731 | − | 0.310016i | \(-0.899666\pi\) |
0.0906856 | + | 0.995880i | \(0.471094\pi\) | |||||||
\(62\) | −0.410973 | + | 0.515344i | −0.0521936 | + | 0.0654487i | ||||
\(63\) | −4.57621 | + | 2.20378i | −0.576548 | + | 0.277651i | ||||
\(64\) | −6.58308 | − | 3.17024i | −0.822885 | − | 0.396280i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −0.748425 | − | 0.170823i | −0.0921248 | − | 0.0210269i | ||||
\(67\) | 0.210269 | − | 0.921249i | 0.0256885 | − | 0.112548i | −0.960458 | − | 0.278424i | \(-0.910188\pi\) |
0.986147 | + | 0.165876i | \(0.0530450\pi\) | |||||||
\(68\) | 0.743667 | + | 0.593055i | 0.0901829 | + | 0.0719184i | ||||
\(69\) | 6.04451 | − | 1.37962i | 0.727673 | − | 0.166087i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 1.33021 | + | 5.82802i | 0.157867 | + | 0.691659i | 0.990463 | + | 0.137779i | \(0.0439962\pi\) |
−0.832597 | + | 0.553880i | \(0.813147\pi\) | |||||||
\(72\) | 0.511435 | − | 1.06201i | 0.0602732 | − | 0.125158i | ||||
\(73\) | −0.209705 | + | 0.435458i | −0.0245442 | + | 0.0509665i | −0.912880 | − | 0.408227i | \(-0.866147\pi\) |
0.888336 | + | 0.459193i | \(0.151862\pi\) | |||||||
\(74\) | 0.439268 | + | 1.92456i | 0.0510639 | + | 0.223725i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 5.85946 | − | 1.33738i | 0.672126 | − | 0.153408i | ||||
\(77\) | 9.13376 | + | 7.28393i | 1.04089 | + | 0.830081i | ||||
\(78\) | −0.120267 | + | 0.526925i | −0.0136176 | + | 0.0596625i | ||||
\(79\) | 1.80484 | + | 0.411944i | 0.203061 | + | 0.0463473i | 0.322841 | − | 0.946453i | \(-0.395362\pi\) |
−0.119781 | + | 0.992800i | \(0.538219\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0.701839 | + | 0.337988i | 0.0779821 | + | 0.0375542i | ||||
\(82\) | −0.786943 | + | 0.378972i | −0.0869033 | + | 0.0418504i | ||||
\(83\) | −2.71744 | + | 3.40756i | −0.298277 | + | 0.374028i | −0.908274 | − | 0.418376i | \(-0.862599\pi\) |
0.609996 | + | 0.792404i | \(0.291171\pi\) | |||||||
\(84\) | 5.06885 | − | 4.04228i | 0.553057 | − | 0.441048i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −1.40540 | −0.151548 | ||||||||
\(87\) | −2.98573 | + | 5.26730i | −0.320104 | + | 0.564714i | ||||
\(88\) | −2.71117 | −0.289012 | ||||||||
\(89\) | 6.75011 | + | 14.0167i | 0.715510 | + | 1.48577i | 0.867525 | + | 0.497394i | \(0.165710\pi\) |
−0.152015 | + | 0.988378i | \(0.548576\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 5.12822 | − | 6.43058i | 0.537583 | − | 0.674108i | ||||
\(92\) | 9.79128 | − | 4.71523i | 1.02081 | − | 0.491597i | ||||
\(93\) | −3.90450 | − | 1.88031i | −0.404878 | − | 0.194979i | ||||
\(94\) | 0.254565 | + | 0.319215i | 0.0262564 | + | 0.0329245i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −0.503437 | + | 2.20570i | −0.0513818 | + | 0.225118i | ||||
\(97\) | −1.88941 | − | 1.50675i | −0.191840 | − | 0.152988i | 0.522859 | − | 0.852419i | \(-0.324865\pi\) |
−0.714700 | + | 0.699431i | \(0.753437\pi\) | |||||||
\(98\) | 0.260319 | − | 0.0594161i | 0.0262962 | − | 0.00600193i | ||||
\(99\) | 6.93087i | 0.696578i | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 5.85513 | − | 12.1583i | 0.582607 | − | 1.20980i | −0.376411 | − | 0.926453i | \(-0.622842\pi\) |
0.959018 | − | 0.283344i | \(-0.0914437\pi\) | |||||||
\(102\) | 0.0402641 | − | 0.0836092i | 0.00398674 | − | 0.00827854i | ||||
\(103\) | 0.389459 | + | 1.70633i | 0.0383745 | + | 0.168130i | 0.990484 | − | 0.137627i | \(-0.0439476\pi\) |
−0.952110 | + | 0.305757i | \(0.901090\pi\) | |||||||
\(104\) | 1.90879i | 0.187172i | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.0596517 | + | 0.0475707i | 0.00579389 | + | 0.00462047i | ||||
\(107\) | −0.580401 | + | 2.54290i | −0.0561095 | + | 0.245832i | −0.995203 | − | 0.0978294i | \(-0.968810\pi\) |
0.939094 | + | 0.343661i | \(0.111667\pi\) | |||||||
\(108\) | 10.2305 | + | 2.33506i | 0.984435 | + | 0.224691i | ||||
\(109\) | −5.70347 | − | 7.15192i | −0.546293 | − | 0.685030i | 0.429665 | − | 0.902988i | \(-0.358632\pi\) |
−0.975958 | + | 0.217959i | \(0.930060\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −11.6934 | + | 5.63123i | −1.10989 | + | 0.534493i | ||||
\(112\) | 6.97874 | − | 8.75107i | 0.659429 | − | 0.826898i | ||||
\(113\) | −9.93607 | + | 7.92375i | −0.934706 | + | 0.745404i | −0.967186 | − | 0.254069i | \(-0.918231\pi\) |
0.0324796 | + | 0.999472i | \(0.489660\pi\) | |||||||
\(114\) | −0.254412 | − | 0.528292i | −0.0238278 | − | 0.0494790i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −3.04782 | + | 10.1658i | −0.282983 | + | 0.943870i | ||||
\(117\) | 4.87965 | 0.451123 | ||||||||
\(118\) | −0.0924039 | − | 0.191879i | −0.00850647 | − | 0.0176639i | ||||
\(119\) | −1.10412 | + | 0.880510i | −0.101215 | + | 0.0807162i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.45211 | − | 2.14402i | 0.404737 | − | 0.194911i | ||||
\(122\) | 1.32374 | + | 0.637480i | 0.119846 | + | 0.0577148i | ||||
\(123\) | −3.58042 | − | 4.48971i | −0.322836 | − | 0.404823i | ||||
\(124\) | −7.40575 | − | 1.69031i | −0.665056 | − | 0.151795i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 0.679093 | + | 0.541558i | 0.0604984 | + | 0.0482459i | ||||
\(127\) | 1.11618 | − | 0.254762i | 0.0990453 | − | 0.0226064i | −0.172711 | − | 0.984973i | \(-0.555253\pi\) |
0.271756 | + | 0.962366i | \(0.412396\pi\) | |||||||
\(128\) | 5.27401i | 0.466161i | ||||||||
\(129\) | −2.05609 | − | 9.00832i | −0.181029 | − | 0.793138i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −7.58804 | + | 15.7567i | −0.662970 | + | 1.37667i | 0.249840 | + | 0.968287i | \(0.419622\pi\) |
−0.912810 | + | 0.408385i | \(0.866092\pi\) | |||||||
\(132\) | −1.96861 | − | 8.62504i | −0.171345 | − | 0.750713i | ||||
\(133\) | 8.92328i | 0.773746i | ||||||||
\(134\) | −0.157542 | + | 0.0359580i | −0.0136096 | + | 0.00310630i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.0729284 | − | 0.319520i | 0.00625356 | − | 0.0273986i | ||||
\(137\) | −0.925317 | − | 0.211198i | −0.0790552 | − | 0.0180438i | 0.182810 | − | 0.983148i | \(-0.441481\pi\) |
−0.261866 | + | 0.965104i | \(0.584338\pi\) | |||||||
\(138\) | −0.661055 | − | 0.828937i | −0.0562728 | − | 0.0705638i | ||||
\(139\) | −6.53941 | − | 3.14921i | −0.554665 | − | 0.267113i | 0.135484 | − | 0.990779i | \(-0.456741\pi\) |
−0.690150 | + | 0.723667i | \(0.742455\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −1.67367 | + | 2.09872i | −0.140949 | + | 0.176744i | ||||
\(142\) | 0.799248 | − | 0.637379i | 0.0670714 | − | 0.0534877i | ||||
\(143\) | −4.86970 | − | 10.1120i | −0.407225 | − | 0.845611i | ||||
\(144\) | 6.64048 | 0.553373 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0.0826526 | 0.00684038 | ||||||||
\(147\) | 0.761689 | + | 1.58166i | 0.0628231 | + | 0.130453i | ||||
\(148\) | −17.7863 | + | 14.1841i | −1.46202 | + | 1.16592i | ||||
\(149\) | −10.6334 | + | 13.3339i | −0.871126 | + | 1.09236i | 0.123856 | + | 0.992300i | \(0.460474\pi\) |
−0.994982 | + | 0.100057i | \(0.968097\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −8.86929 | − | 4.27122i | −0.721772 | − | 0.347587i | 0.0366700 | − | 0.999327i | \(-0.488325\pi\) |
−0.758442 | + | 0.651740i | \(0.774039\pi\) | |||||||
\(152\) | −1.29114 | − | 1.61904i | −0.104726 | − | 0.131322i | ||||
\(153\) | −0.816824 | − | 0.186435i | −0.0660363 | − | 0.0150724i | ||||
\(154\) | 0.444557 | − | 1.94773i | 0.0358234 | − | 0.156953i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −6.07242 | + | 1.38599i | −0.486183 | + | 0.110968i | ||||
\(157\) | − | 2.64062i | − | 0.210744i | −0.994433 | − | 0.105372i | \(-0.966397\pi\) | ||
0.994433 | − | 0.105372i | \(-0.0336034\pi\) | |||||||
\(158\) | −0.0704463 | − | 0.308645i | −0.00560440 | − | 0.0245545i | ||||
\(159\) | −0.217648 | + | 0.451951i | −0.0172606 | + | 0.0358420i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 3.59038 | + | 15.7305i | 0.282961 | + | 1.23973i | ||||
\(162\) | − | 0.133213i | − | 0.0104662i | ||||||
\(163\) | 9.53190 | − | 2.17559i | 0.746596 | − | 0.170406i | 0.167735 | − | 0.985832i | \(-0.446355\pi\) |
0.578861 | + | 0.815426i | \(0.303498\pi\) | |||||||
\(164\) | −7.86972 | − | 6.27589i | −0.614522 | − | 0.490065i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.726646 | + | 0.165852i | 0.0563987 | + | 0.0128726i | ||||
\(167\) | 14.7231 | + | 18.4622i | 1.13931 | + | 1.42865i | 0.887462 | + | 0.460881i | \(0.152467\pi\) |
0.251847 | + | 0.967767i | \(0.418962\pi\) | |||||||
\(168\) | −2.01264 | − | 0.969238i | −0.155279 | − | 0.0747784i | ||||
\(169\) | 4.59326 | − | 2.21200i | 0.353328 | − | 0.170154i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −4.13894 | + | 3.30069i | −0.316512 | + | 0.252410i | ||||
\(172\) | −7.02726 | − | 14.5923i | −0.535823 | − | 1.11265i | ||||
\(173\) | 5.22521 | 0.397265 | 0.198633 | − | 0.980074i | \(-0.436350\pi\) | ||||
0.198633 | + | 0.980074i | \(0.436350\pi\) | |||||||
\(174\) | 1.03309 | + | 0.0692004i | 0.0783184 | + | 0.00524607i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −6.62694 | − | 13.7610i | −0.499525 | − | 1.03727i | ||||
\(177\) | 1.09472 | − | 0.873007i | 0.0822839 | − | 0.0656192i | ||||
\(178\) | 1.65877 | − | 2.08004i | 0.124330 | − | 0.155905i | ||||
\(179\) | 10.2128 | − | 4.91824i | 0.763343 | − | 0.367607i | −0.0113570 | − | 0.999936i | \(-0.503615\pi\) |
0.774700 | + | 0.632329i | \(0.217901\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 6.44743 | + | 8.08482i | 0.479233 | + | 0.600940i | 0.961405 | − | 0.275137i | \(-0.0887232\pi\) |
−0.482172 | + | 0.876077i | \(0.660152\pi\) | |||||||
\(182\) | −1.37129 | − | 0.312988i | −0.101647 | − | 0.0232002i | ||||
\(183\) | −2.14949 | + | 9.41754i | −0.158895 | + | 0.696164i | ||||
\(184\) | −2.92754 | − | 2.33464i | −0.215821 | − | 0.172112i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0.741098i | 0.0543399i | ||||||||
\(187\) | 0.428813 | + | 1.87875i | 0.0313579 | + | 0.137388i | ||||
\(188\) | −2.04153 | + | 4.23928i | −0.148894 | + | 0.309181i | ||||
\(189\) | −6.75988 | + | 14.0370i | −0.491709 | + | 1.02104i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | − | 6.30617i | − | 0.456299i | −0.973626 | − | 0.228149i | \(-0.926733\pi\) | ||
0.973626 | − | 0.228149i | \(-0.0732675\pi\) | |||||||
\(192\) | −8.00909 | + | 1.82802i | −0.578006 | + | 0.131926i | ||||
\(193\) | 3.20725 | + | 2.55769i | 0.230863 | + | 0.184107i | 0.732088 | − | 0.681210i | \(-0.238546\pi\) |
−0.501226 | + | 0.865317i | \(0.667117\pi\) | |||||||
\(194\) | −0.0919610 | + | 0.402908i | −0.00660242 | + | 0.0289271i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.91856 | + | 2.40580i | 0.137040 | + | 0.171843i | ||||
\(197\) | −18.3245 | − | 8.82462i | −1.30557 | − | 0.628728i | −0.353735 | − | 0.935346i | \(-0.615088\pi\) |
−0.951833 | + | 0.306618i | \(0.900803\pi\) | |||||||
\(198\) | 1.06787 | − | 0.514258i | 0.0758901 | − | 0.0365467i | ||||
\(199\) | −1.22899 | + | 1.54111i | −0.0871211 | + | 0.109246i | −0.823482 | − | 0.567343i | \(-0.807971\pi\) |
0.736360 | + | 0.676589i | \(0.236543\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −0.460967 | − | 0.957207i | −0.0325141 | − | 0.0675162i | ||||
\(202\) | −2.30772 | −0.162371 | ||||||||
\(203\) | −13.7078 | − | 7.77019i | −0.962101 | − | 0.545361i | ||||
\(204\) | 1.06944 | 0.0748758 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 0.234004 | − | 0.186612i | 0.0163038 | − | 0.0130019i | ||||
\(207\) | −5.96829 | + | 7.48399i | −0.414825 | + | 0.520173i | ||||
\(208\) | −9.68836 | + | 4.66567i | −0.671767 | + | 0.323506i | ||||
\(209\) | 10.9705 | + | 5.28311i | 0.758845 | + | 0.365440i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −17.3534 | − | 3.96080i | −1.19466 | − | 0.272673i | −0.421466 | − | 0.906844i | \(-0.638484\pi\) |
−0.773192 | + | 0.634172i | \(0.781341\pi\) | |||||||
\(212\) | −0.195656 | + | 0.857226i | −0.0134377 | + | 0.0588745i | ||||
\(213\) | 5.25476 | + | 4.19053i | 0.360050 | + | 0.287131i | ||||
\(214\) | 0.434861 | − | 0.0992541i | 0.0297265 | − | 0.00678487i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −0.804559 | − | 3.52500i | −0.0547433 | − | 0.239846i | ||||
\(217\) | 4.89339 | − | 10.1612i | 0.332185 | − | 0.689789i | ||||
\(218\) | −0.678739 | + | 1.40942i | −0.0459700 | + | 0.0954577i | ||||
\(219\) | 0.120920 | + | 0.529786i | 0.00817103 | + | 0.0357996i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 1.32273 | − | 0.301904i | 0.0889762 | − | 0.0203082i | ||||
\(222\) | 1.73526 | + | 1.38382i | 0.116463 | + | 0.0928759i | ||||
\(223\) | −4.22512 | + | 18.5115i | −0.282935 | + | 1.23962i | 0.611075 | + | 0.791572i | \(0.290737\pi\) |
−0.894010 | + | 0.448047i | \(0.852120\pi\) | |||||||
\(224\) | −5.74020 | − | 1.31016i | −0.383533 | − | 0.0875390i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 1.95808 | + | 0.942963i | 0.130250 | + | 0.0627250i | ||||
\(227\) | 0.0933811 | − | 0.0449699i | 0.00619792 | − | 0.00298476i | −0.430782 | − | 0.902456i | \(-0.641762\pi\) |
0.436980 | + | 0.899471i | \(0.356048\pi\) | |||||||
\(228\) | 4.21314 | − | 5.28311i | 0.279022 | − | 0.349883i | ||||
\(229\) | 10.3207 | − | 8.23049i | 0.682012 | − | 0.543886i | −0.220053 | − | 0.975488i | \(-0.570623\pi\) |
0.902064 | + | 0.431602i | \(0.142051\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 13.1349 | 0.864215 | ||||||||
\(232\) | 3.61146 | − | 0.573612i | 0.237104 | − | 0.0376595i | ||||
\(233\) | 2.18750 | 0.143308 | 0.0716538 | − | 0.997430i | \(-0.477172\pi\) | ||||
0.0716538 | + | 0.997430i | \(0.477172\pi\) | |||||||
\(234\) | −0.362061 | − | 0.751828i | −0.0236687 | − | 0.0491485i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 1.53024 | − | 1.91886i | 0.0996100 | − | 0.124907i | ||||
\(237\) | 1.87529 | − | 0.903092i | 0.121813 | − | 0.0586621i | ||||
\(238\) | 0.217588 | + | 0.104785i | 0.0141041 | + | 0.00679219i | ||||
\(239\) | 9.54386 | + | 11.9676i | 0.617341 | + | 0.774121i | 0.987968 | − | 0.154661i | \(-0.0494285\pi\) |
−0.370627 | + | 0.928782i | \(0.620857\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −3.02515 | + | 13.2541i | −0.194867 | + | 0.853768i | 0.779068 | + | 0.626940i | \(0.215693\pi\) |
−0.973935 | + | 0.226829i | \(0.927164\pi\) | |||||||
\(242\) | −0.660677 | − | 0.526872i | −0.0424699 | − | 0.0338686i | ||||
\(243\) | −14.7197 | + | 3.35967i | −0.944267 | + | 0.215523i | ||||
\(244\) | 16.9319i | 1.08395i | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −0.426087 | + | 0.884779i | −0.0271663 | + | 0.0564115i | ||||
\(247\) | 3.71955 | − | 7.72373i | 0.236669 | − | 0.491449i | ||||
\(248\) | 0.582409 | + | 2.55170i | 0.0369830 | + | 0.162033i | ||||
\(249\) | 4.90029i | 0.310543i | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −16.0564 | − | 12.8046i | −1.01347 | − | 0.808216i | −0.0319344 | − | 0.999490i | \(-0.510167\pi\) |
−0.981537 | + | 0.191274i | \(0.938738\pi\) | |||||||
\(252\) | −2.22741 | + | 9.75890i | −0.140313 | + | 0.614753i | ||||
\(253\) | 21.4651 | + | 4.89927i | 1.34950 | + | 0.308015i | ||||
\(254\) | −0.122071 | − | 0.153072i | −0.00765942 | − | 0.00960461i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −12.3536 | + | 5.94916i | −0.772098 | + | 0.371823i | ||||
\(257\) | −12.3518 | + | 15.4887i | −0.770486 | + | 0.966159i | −0.999974 | − | 0.00715224i | \(-0.997723\pi\) |
0.229488 | + | 0.973311i | \(0.426295\pi\) | |||||||
\(258\) | −1.23539 | + | 0.985192i | −0.0769121 | + | 0.0613354i | ||||
\(259\) | −14.6549 | − | 30.4313i | −0.910614 | − | 1.89091i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −1.46639 | − | 9.23235i | −0.0907671 | − | 0.571468i | ||||
\(262\) | 2.99072 | 0.184768 | ||||||||
\(263\) | −6.45116 | − | 13.3960i | −0.397796 | − | 0.826031i | −0.999624 | − | 0.0274060i | \(-0.991275\pi\) |
0.601829 | − | 0.798625i | \(-0.294439\pi\) | |||||||
\(264\) | −2.38321 | + | 1.90055i | −0.146676 | + | 0.116971i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 1.37485 | − | 0.662091i | 0.0842973 | − | 0.0405954i | ||||
\(267\) | 15.7594 | + | 7.58931i | 0.964458 | + | 0.464458i | ||||
\(268\) | −1.16109 | − | 1.45596i | −0.0709250 | − | 0.0889371i | ||||
\(269\) | −1.51784 | − | 0.346436i | −0.0925441 | − | 0.0211226i | 0.175998 | − | 0.984391i | \(-0.443685\pi\) |
−0.268542 | + | 0.963268i | \(0.586542\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 9.50030 | + | 7.57624i | 0.577102 | + | 0.460224i | 0.868023 | − | 0.496523i | \(-0.165390\pi\) |
−0.290921 | + | 0.956747i | \(0.593962\pi\) | |||||||
\(272\) | 1.80003 | − | 0.410846i | 0.109143 | − | 0.0249112i | ||||
\(273\) | − | 9.24759i | − | 0.559690i | ||||||
\(274\) | 0.0361168 | + | 0.158238i | 0.00218189 | + | 0.00955950i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 5.30145 | − | 11.0086i | 0.319110 | − | 0.662638i | ||||
\(277\) | −2.67977 | − | 11.7409i | −0.161012 | − | 0.705439i | −0.989392 | − | 0.145272i | \(-0.953594\pi\) |
0.828380 | − | 0.560167i | \(-0.189263\pi\) | |||||||
\(278\) | 1.24122i | 0.0744434i | ||||||||
\(279\) | 6.52319 | − | 1.48887i | 0.390533 | − | 0.0891366i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −3.04306 | + | 13.3325i | −0.181534 | + | 0.795351i | 0.799367 | + | 0.600843i | \(0.205168\pi\) |
−0.980901 | + | 0.194508i | \(0.937689\pi\) | |||||||
\(282\) | 0.447542 | + | 0.102149i | 0.0266507 | + | 0.00608286i | ||||
\(283\) | −16.2063 | − | 20.3221i | −0.963367 | − | 1.20802i | −0.978101 | − | 0.208133i | \(-0.933261\pi\) |
0.0147331 | − | 0.999891i | \(-0.495310\pi\) | |||||||
\(284\) | 10.6143 | + | 5.11157i | 0.629842 | + | 0.303316i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −1.19668 | + | 1.50059i | −0.0707613 | + | 0.0887318i | ||||
\(287\) | 11.6842 | − | 9.31784i | 0.689696 | − | 0.550015i | ||||
\(288\) | −1.51558 | − | 3.14714i | −0.0893065 | − | 0.185447i | ||||
\(289\) | 16.7670 | 0.986297 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −2.71709 | −0.159279 | ||||||||
\(292\) | 0.413278 | + | 0.858181i | 0.0241853 | + | 0.0502212i | ||||
\(293\) | 4.47701 | − | 3.57030i | 0.261550 | − | 0.208579i | −0.483931 | − | 0.875106i | \(-0.660791\pi\) |
0.745481 | + | 0.666527i | \(0.232220\pi\) | |||||||
\(294\) | 0.187178 | − | 0.234713i | 0.0109164 | − | 0.0136888i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 7.06223 | + | 3.40099i | 0.410483 | + | 0.197678i | ||||
\(297\) | 13.2552 | + | 16.6215i | 0.769146 | + | 0.964479i | ||||
\(298\) | 2.84340 | + | 0.648987i | 0.164714 | + | 0.0375948i | ||||
\(299\) | 3.44931 | − | 15.1124i | 0.199479 | − | 0.873974i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 23.4436 | − | 5.35085i | 1.35127 | − | 0.308418i | ||||
\(302\) | 1.68345i | 0.0968714i | ||||||||
\(303\) | −3.37618 | − | 14.7920i | −0.193956 | − | 0.849779i | ||||
\(304\) | 5.06176 | − | 10.5108i | 0.290312 | − | 0.602838i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0.0318821 | + | 0.139685i | 0.00182258 | + | 0.00798524i | ||||
\(307\) | 12.7599i | 0.728244i | 0.931351 | + | 0.364122i | \(0.118631\pi\) | ||||
−0.931351 | + | 0.364122i | \(0.881369\pi\) | |||||||
\(308\) | 22.4461 | − | 5.12319i | 1.27899 | − | 0.291921i | ||||
\(309\) | 1.53849 | + | 1.22691i | 0.0875217 | + | 0.0697963i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 12.2017 | + | 2.78495i | 0.691893 | + | 0.157920i | 0.553987 | − | 0.832525i | \(-0.313106\pi\) |
0.137906 | + | 0.990445i | \(0.455963\pi\) | |||||||
\(312\) | 1.33807 | + | 1.67789i | 0.0757533 | + | 0.0949917i | ||||
\(313\) | 23.2978 | + | 11.2196i | 1.31687 | + | 0.634171i | 0.954597 | − | 0.297900i | \(-0.0962863\pi\) |
0.362274 | + | 0.932072i | \(0.382001\pi\) | |||||||
\(314\) | −0.406851 | + | 0.195929i | −0.0229599 | + | 0.0110569i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.85242 | − | 2.27473i | 0.160461 | − | 0.127963i | ||||
\(317\) | −11.7612 | − | 24.4225i | −0.660577 | − | 1.37170i | −0.914543 | − | 0.404489i | \(-0.867449\pi\) |
0.253966 | − | 0.967213i | \(-0.418265\pi\) | |||||||
\(318\) | 0.0857831 | 0.00481047 | ||||||||
\(319\) | −17.6687 | + | 12.2523i | −0.989258 | + | 0.685998i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 1.27240 | + | 2.64216i | 0.0710182 | + | 0.147471i | ||||
\(322\) | 2.15726 | − | 1.72036i | 0.120219 | − | 0.0958717i | ||||
\(323\) | −0.917728 | + | 1.15079i | −0.0510638 | + | 0.0640319i | ||||
\(324\) | 1.38315 | − | 0.666092i | 0.0768419 | − | 0.0370051i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −1.04245 | − | 1.30719i | −0.0577361 | − | 0.0723988i | ||||
\(327\) | −10.0271 | − | 2.28861i | −0.554498 | − | 0.126560i | ||||
\(328\) | −0.771752 | + | 3.38127i | −0.0426129 | + | 0.186699i | ||||
\(329\) | −5.46179 | − | 4.35563i | −0.301118 | − | 0.240134i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | − | 10.9792i | − | 0.603470i | −0.953392 | − | 0.301735i | \(-0.902434\pi\) | ||
0.953392 | − | 0.301735i | \(-0.0975658\pi\) | |||||||
\(332\) | 1.91132 | + | 8.37405i | 0.104897 | + | 0.459586i | ||||
\(333\) | 8.69431 | − | 18.0539i | 0.476445 | − | 0.989349i | ||||
\(334\) | 1.75212 | − | 3.63831i | 0.0958717 | − | 0.199080i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | − | 12.5846i | − | 0.686546i | ||||||
\(337\) | −16.7612 | + | 3.82563i | −0.913040 | + | 0.208395i | −0.653137 | − | 0.757240i | \(-0.726548\pi\) |
−0.259902 | + | 0.965635i | \(0.583690\pi\) | |||||||
\(338\) | −0.681623 | − | 0.543576i | −0.0370754 | − | 0.0295667i | ||||
\(339\) | −3.17954 | + | 13.9305i | −0.172689 | + | 0.756599i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −9.59527 | − | 12.0321i | −0.519613 | − | 0.651574i | ||||
\(342\) | 0.815653 | + | 0.392798i | 0.0441055 | + | 0.0212401i | ||||
\(343\) | 14.3374 | − | 6.90451i | 0.774145 | − | 0.372809i | ||||
\(344\) | −3.47938 | + | 4.36301i | −0.187596 | + | 0.235238i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −0.387701 | − | 0.805070i | −0.0208429 | − | 0.0432808i | ||||
\(347\) | 31.2968 | 1.68010 | 0.840049 | − | 0.542510i | \(-0.182526\pi\) | ||||
0.840049 | + | 0.542510i | \(0.182526\pi\) | |||||||
\(348\) | 4.44714 | + | 11.0726i | 0.238392 | + | 0.593553i | ||||
\(349\) | −16.8395 | −0.901398 | −0.450699 | − | 0.892676i | \(-0.648825\pi\) | ||||
−0.450699 | + | 0.892676i | \(0.648825\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 11.7023 | − | 9.33228i | 0.624623 | − | 0.498120i | ||||
\(352\) | −5.00929 | + | 6.28145i | −0.266996 | + | 0.334802i | ||||
\(353\) | 24.0306 | − | 11.5725i | 1.27902 | − | 0.615944i | 0.333883 | − | 0.942615i | \(-0.391641\pi\) |
0.945138 | + | 0.326671i | \(0.105927\pi\) | |||||||
\(354\) | −0.215734 | − | 0.103892i | −0.0114661 | − | 0.00552179i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 29.8912 | + | 6.82246i | 1.58423 | + | 0.361590i | ||||
\(357\) | −0.353319 | + | 1.54799i | −0.0186996 | + | 0.0819284i | ||||
\(358\) | −1.51555 | − | 1.20861i | −0.0800992 | − | 0.0638770i | ||||
\(359\) | −11.7911 | + | 2.69123i | −0.622308 | + | 0.142038i | −0.522038 | − | 0.852923i | \(-0.674828\pi\) |
−0.100270 | + | 0.994960i | \(0.531971\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −2.15835 | − | 9.45635i | −0.113597 | − | 0.497703i | ||||
\(362\) | 0.767274 | − | 1.59326i | 0.0403270 | − | 0.0837400i | ||||
\(363\) | 2.41058 | − | 5.00561i | 0.126522 | − | 0.262727i | ||||
\(364\) | −3.60696 | − | 15.8031i | −0.189056 | − | 0.828308i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 1.61049 | − | 0.367583i | 0.0841816 | − | 0.0192139i | ||||
\(367\) | −26.5559 | − | 21.1776i | −1.38621 | − | 1.10546i | −0.981595 | − | 0.190975i | \(-0.938835\pi\) |
−0.404612 | − | 0.914488i | \(-0.632594\pi\) | |||||||
\(368\) | 4.69400 | − | 20.5658i | 0.244692 | − | 1.07206i | ||||
\(369\) | 8.64389 | + | 1.97291i | 0.449983 | + | 0.102706i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −1.17617 | − | 0.566416i | −0.0610639 | − | 0.0294068i | ||||
\(372\) | −7.69481 | + | 3.70563i | −0.398957 | + | 0.192128i | ||||
\(373\) | −3.86240 | + | 4.84329i | −0.199987 | + | 0.250776i | −0.871705 | − | 0.490031i | \(-0.836985\pi\) |
0.671718 | + | 0.740807i | \(0.265557\pi\) | |||||||
\(374\) | 0.257650 | − | 0.205469i | 0.0133228 | − | 0.0106245i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 1.62122 | 0.0836082 | ||||||||
\(377\) | 8.62619 | + | 12.4396i | 0.444271 | + | 0.640671i | ||||
\(378\) | 2.66432 | 0.137038 | ||||||||
\(379\) | −11.3223 | − | 23.5109i | −0.581585 | − | 1.20767i | −0.959467 | − | 0.281820i | \(-0.909062\pi\) |
0.377882 | − | 0.925854i | \(-0.376652\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0.802572 | − | 1.00639i | 0.0411170 | − | 0.0515591i | ||||
\(382\) | −0.971619 | + | 0.467907i | −0.0497123 | + | 0.0239402i | ||||
\(383\) | −18.8120 | − | 9.05940i | −0.961250 | − | 0.462914i | −0.113633 | − | 0.993523i | \(-0.536249\pi\) |
−0.847617 | + | 0.530609i | \(0.821963\pi\) | |||||||
\(384\) | 3.69711 | + | 4.63603i | 0.188667 | + | 0.236581i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0.156103 | − | 0.683930i | 0.00794541 | − | 0.0348111i | ||||
\(387\) | 11.1536 | + | 8.89473i | 0.566971 | + | 0.452144i | ||||
\(388\) | −4.64321 | + | 1.05978i | −0.235723 | + | 0.0538023i | ||||
\(389\) | 15.7075i | 0.796400i | 0.917299 | + | 0.398200i | \(0.130365\pi\) | ||||
−0.917299 | + | 0.398200i | \(0.869635\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.15479 | + | 2.39794i | −0.0584002 | + | 0.121269i | ||||
\(392\) | 0.460023 | − | 0.955248i | 0.0232347 | − | 0.0482473i | ||||
\(393\) | 4.37541 | + | 19.1699i | 0.220710 | + | 0.966995i | ||||
\(394\) | 3.47811i | 0.175224i | ||||||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 10.6791 | + | 8.51628i | 0.536644 | + | 0.427959i | ||||
\(397\) | 2.57280 | − | 11.2722i | 0.129125 | − | 0.565734i | −0.868428 | − | 0.495816i | \(-0.834869\pi\) |
0.997553 | − | 0.0699182i | \(-0.0222738\pi\) | |||||||
\(398\) | 0.328634 | + | 0.0750087i | 0.0164730 | + | 0.00375984i | ||||
\(399\) | 6.25526 | + | 7.84385i | 0.313155 | + | 0.392684i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 4.33830 | − | 2.08921i | 0.216644 | − | 0.104330i | −0.322414 | − | 0.946599i | \(-0.604494\pi\) |
0.539059 | + | 0.842268i | \(0.318780\pi\) | |||||||
\(402\) | −0.113278 | + | 0.142046i | −0.00564979 | + | 0.00708462i | ||||
\(403\) | −8.47114 | + | 6.75551i | −0.421978 | + | 0.336516i | ||||
\(404\) | −11.5390 | − | 23.9610i | −0.574088 | − | 1.19211i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −0.180090 | + | 2.68856i | −0.00893771 | + | 0.133431i | ||||
\(407\) | −46.0896 | −2.28457 | ||||||||
\(408\) | −0.159879 | − | 0.331992i | −0.00791518 | − | 0.0164360i | ||||
\(409\) | 18.6701 | − | 14.8889i | 0.923177 | − | 0.736209i | −0.0416399 | − | 0.999133i | \(-0.513258\pi\) |
0.964817 | + | 0.262924i | \(0.0846868\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −0.961434 | + | 0.463002i | −0.0474240 | + | 0.0228382i | ||||
\(412\) | 3.10766 | + | 1.49657i | 0.153103 | + | 0.0737306i | ||||
\(413\) | 2.27195 | + | 2.84893i | 0.111795 | + | 0.140187i | ||||
\(414\) | 1.59593 | + | 0.364260i | 0.0784355 | + | 0.0179024i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 4.42242 | + | 3.52676i | 0.216827 | + | 0.172914i | ||||
\(417\) | −7.95596 | + | 1.81590i | −0.389605 | + | 0.0889248i | ||||
\(418\) | − | 2.08227i | − | 0.101847i | ||||||
\(419\) | 6.86486 | + | 30.0769i | 0.335370 | + | 1.46935i | 0.808571 | + | 0.588399i | \(0.200242\pi\) |
−0.473200 | + | 0.880955i | \(0.656901\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 4.52434 | − | 9.39489i | 0.220503 | − | 0.457879i | −0.761145 | − | 0.648582i | \(-0.775362\pi\) |
0.981648 | + | 0.190703i | \(0.0610767\pi\) | |||||||
\(422\) | 0.677335 | + | 2.96760i | 0.0329721 | + | 0.144460i | ||||
\(423\) | − | 4.14451i | − | 0.201513i | ||||||
\(424\) | 0.295363 | − | 0.0674146i | 0.0143441 | − | 0.00327394i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0.255759 | − | 1.12055i | 0.0123916 | − | 0.0542910i | ||||
\(427\) | −24.5086 | − | 5.59392i | −1.18605 | − | 0.270709i | ||||
\(428\) | 3.20494 | + | 4.01886i | 0.154916 | + | 0.194259i | ||||
\(429\) | −11.3692 | − | 5.47512i | −0.548911 | − | 0.264341i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 6.65691 | − | 8.34750i | 0.320652 | − | 0.402085i | −0.595215 | − | 0.803566i | \(-0.702933\pi\) |
0.915867 | + | 0.401482i | \(0.131505\pi\) | |||||||
\(432\) | 15.9251 | − | 12.6999i | 0.766197 | − | 0.611022i | ||||
\(433\) | 11.9500 | + | 24.8145i | 0.574282 | + | 1.19251i | 0.962586 | + | 0.270978i | \(0.0873470\pi\) |
−0.388303 | + | 0.921532i | \(0.626939\pi\) | |||||||
\(434\) | −1.92866 | −0.0925788 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −18.0278 | −0.863374 | ||||||||
\(437\) | 7.29663 | + | 15.1516i | 0.349045 | + | 0.724800i | ||||
\(438\) | 0.0726543 | − | 0.0579398i | 0.00347155 | − | 0.00276847i | ||||
\(439\) | −16.1160 | + | 20.2088i | −0.769173 | + | 0.964512i | −0.999964 | − | 0.00849123i | \(-0.997297\pi\) |
0.230791 | + | 0.973003i | \(0.425869\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −2.44200 | − | 1.17601i | −0.116286 | − | 0.0560003i | ||||
\(442\) | −0.144659 | − | 0.181397i | −0.00688075 | − | 0.00862819i | ||||
\(443\) | 13.7606 | + | 3.14077i | 0.653786 | + | 0.149222i | 0.536533 | − | 0.843880i | \(-0.319734\pi\) |
0.117254 | + | 0.993102i | \(0.462591\pi\) | |||||||
\(444\) | −5.69159 | + | 24.9365i | −0.270111 | + | 1.18343i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 3.16563 | − | 0.722535i | 0.149897 | − | 0.0342130i | ||||
\(447\) | 19.1750i | 0.906948i | ||||||||
\(448\) | −4.75732 | − | 20.8432i | −0.224762 | − | 0.984748i | ||||
\(449\) | 9.59709 | − | 19.9286i | 0.452915 | − | 0.940487i | −0.542058 | − | 0.840341i | \(-0.682355\pi\) |
0.994973 | − | 0.100146i | \(-0.0319310\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −4.53783 | − | 19.8815i | −0.213678 | − | 0.936185i | ||||
\(452\) | 25.0458i | 1.17805i | ||||||||
\(453\) | −10.7905 | + | 2.46287i | −0.506983 | + | 0.115716i | ||||
\(454\) | −0.0138574 | − | 0.0110509i | −0.000650361 | − | 0.000518645i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −2.26991 | − | 0.518093i | −0.106299 | − | 0.0242619i | ||||
\(457\) | −6.08500 | − | 7.63035i | −0.284644 | − | 0.356933i | 0.618868 | − | 0.785495i | \(-0.287592\pi\) |
−0.903512 | + | 0.428562i | \(0.859020\pi\) | |||||||
\(458\) | −2.03388 | − | 0.979467i | −0.0950372 | − | 0.0457675i | ||||
\(459\) | −2.31545 | + | 1.11506i | −0.108076 | + | 0.0520467i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 15.7515 | − | 12.5614i | 0.733621 | − | 0.585043i | −0.183799 | − | 0.982964i | \(-0.558840\pi\) |
0.917420 | + | 0.397921i | \(0.130268\pi\) | |||||||
\(462\) | −0.974589 | − | 2.02375i | −0.0453420 | − | 0.0941536i | ||||
\(463\) | 15.7776 | 0.733249 | 0.366624 | − | 0.930369i | \(-0.380513\pi\) | ||||
0.366624 | + | 0.930369i | \(0.380513\pi\) | |||||||
\(464\) | 11.7390 | + | 16.9284i | 0.544968 | + | 0.785882i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −0.162308 | − | 0.337037i | −0.00751879 | − | 0.0156129i | ||||
\(467\) | 30.6532 | − | 24.4451i | 1.41846 | − | 1.13119i | 0.446849 | − | 0.894609i | \(-0.352546\pi\) |
0.971613 | − | 0.236577i | \(-0.0760254\pi\) | |||||||
\(468\) | 5.99585 | − | 7.51855i | 0.277158 | − | 0.347545i | ||||
\(469\) | 2.49107 | − | 1.19964i | 0.115027 | − | 0.0553941i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −1.85109 | − | 2.32119i | −0.0852935 | − | 0.106955i | ||||
\(472\) | −0.824447 | − | 0.188175i | −0.0379482 | − | 0.00866144i | ||||
\(473\) | 7.30155 | − | 31.9902i | 0.335725 | − | 1.47091i | ||||
\(474\) | −0.278286 | − | 0.221926i | −0.0127821 | − | 0.0101934i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 2.78316i | 0.127566i | ||||||||
\(477\) | −0.172339 | − | 0.755067i | −0.00789087 | − | 0.0345722i | ||||
\(478\) | 1.13576 | − | 2.35844i | 0.0519487 | − | 0.107872i | ||||
\(479\) | 18.3393 | − | 38.0820i | 0.837945 | − | 1.74001i | 0.184805 | − | 0.982775i | \(-0.440835\pi\) |
0.653141 | − | 0.757236i | \(-0.273451\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 32.4492i | 1.47955i | ||||||||
\(482\) | 2.26657 | − | 0.517329i | 0.103239 | − | 0.0235637i | ||||
\(483\) | 14.1832 | + | 11.3107i | 0.645357 | + | 0.514655i | ||||
\(484\) | 2.16700 | − | 9.49426i | 0.0985002 | − | 0.431557i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 1.60981 | + | 2.01864i | 0.0730225 | + | 0.0915674i | ||||
\(487\) | −12.2269 | − | 5.88815i | −0.554052 | − | 0.266817i | 0.135839 | − | 0.990731i | \(-0.456627\pi\) |
−0.689891 | + | 0.723914i | \(0.742341\pi\) | |||||||
\(488\) | 5.25625 | − | 2.53128i | 0.237939 | − | 0.114586i | ||||
\(489\) | 6.85374 | − | 8.59432i | 0.309937 | − | 0.388649i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −1.77332 | − | 3.68233i | −0.0800287 | − | 0.166181i | 0.857115 | − | 0.515125i | \(-0.172255\pi\) |
−0.937144 | + | 0.348944i | \(0.886540\pi\) | |||||||
\(492\) | −11.3172 | −0.510217 | ||||||||
\(493\) | −0.968699 | − | 2.41189i | −0.0436280 | − | 0.108626i | ||||
\(494\) | −1.46601 | −0.0659590 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −11.5280 | + | 9.19325i | −0.517621 | + | 0.412789i | ||||
\(497\) | −10.9056 | + | 13.6752i | −0.489184 | + | 0.613417i | ||||
\(498\) | 0.755008 | − | 0.363593i | 0.0338327 | − | 0.0162930i | ||||
\(499\) | 11.2754 | + | 5.42993i | 0.504755 | + | 0.243077i | 0.668891 | − | 0.743361i | \(-0.266769\pi\) |
−0.164136 | + | 0.986438i | \(0.552484\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 25.8842 | + | 5.90790i | 1.15642 | + | 0.263945i | ||||
\(502\) | −0.781495 | + | 3.42395i | −0.0348798 | + | 0.152818i | ||||
\(503\) | −20.1194 | − | 16.0447i | −0.897080 | − | 0.715398i | 0.0621370 | − | 0.998068i | \(-0.480208\pi\) |
−0.959217 | + | 0.282670i | \(0.908780\pi\) | |||||||
\(504\) | 3.36249 | − | 0.767467i | 0.149777 | − | 0.0341857i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −0.837822 | − | 3.67074i | −0.0372457 | − | 0.163184i | ||||
\(507\) | 2.48700 | − | 5.16431i | 0.110452 | − | 0.229355i | ||||
\(508\) | 0.978970 | − | 2.03285i | 0.0434348 | − | 0.0901932i | ||||
\(509\) | −3.53552 | − | 15.4901i | −0.156709 | − | 0.686588i | −0.990842 | − | 0.135024i | \(-0.956889\pi\) |
0.834133 | − | 0.551563i | \(-0.185968\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.37874 | + | 0.314687i | −0.0609917 | + | 0.0139210i | ||||
\(512\) | 10.0800 | + | 8.03853i | 0.445477 | + | 0.355256i | ||||
\(513\) | −3.61341 | + | 15.8314i | −0.159536 | + | 0.698972i | ||||
\(514\) | 3.30290 | + | 0.753864i | 0.145684 | + | 0.0332515i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −16.4064 | − | 7.90092i | −0.722253 | − | 0.347818i | ||||
\(517\) | −8.58862 | + | 4.13606i | −0.377727 | + | 0.181904i | ||||
\(518\) | −3.60131 | + | 4.51590i | −0.158232 | + | 0.198417i | ||||
\(519\) | 4.59313 | − | 3.66289i | 0.201616 | − | 0.160783i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −22.1399 | −0.969965 | −0.484982 | − | 0.874524i | \(-0.661174\pi\) | ||||
−0.484982 | + | 0.874524i | \(0.661174\pi\) | |||||||
\(522\) | −1.31366 | + | 0.910957i | −0.0574975 | + | 0.0398715i | ||||
\(523\) | −31.1728 | −1.36309 | −0.681546 | − | 0.731775i | \(-0.738692\pi\) | ||||
−0.681546 | + | 0.731775i | \(0.738692\pi\) | |||||||
\(524\) | 14.9542 | + | 31.0527i | 0.653276 | + | 1.35654i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −1.58531 | + | 1.98792i | −0.0691228 | + | 0.0866772i | ||||
\(527\) | 1.67612 | − | 0.807179i | 0.0730131 | − | 0.0351613i | ||||
\(528\) | −15.4718 | − | 7.45083i | −0.673324 | − | 0.324256i | ||||
\(529\) | 4.61906 | + | 5.79212i | 0.200829 | + | 0.251831i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −0.481051 | + | 2.10762i | −0.0208758 | + | 0.0914630i | ||||
\(532\) | 13.7490 | + | 10.9644i | 0.596094 | + | 0.475369i | ||||
\(533\) | −13.9975 | + | 3.19484i | −0.606300 | + | 0.138384i | ||||
\(534\) | − | 2.99123i | − | 0.129443i | ||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −0.278401 | + | 0.578106i | −0.0120251 | + | 0.0249704i | ||||
\(537\) | 5.52970 | − | 11.4825i | 0.238624 | − | 0.495508i | ||||
\(538\) | 0.0592439 | + | 0.259564i | 0.00255419 | + | 0.0111906i | ||||
\(539\) | 6.23415i | 0.268524i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −0.559338 | − | 0.446058i | −0.0240478 | − | 0.0191775i | 0.611392 | − | 0.791328i | \(-0.290610\pi\) |
−0.635440 | + | 0.772150i | \(0.719181\pi\) | |||||||
\(542\) | 0.462397 | − | 2.02589i | 0.0198617 | − | 0.0870196i | ||||
\(543\) | 11.3350 | + | 2.58714i | 0.486431 | + | 0.111025i | ||||
\(544\) | −0.605542 | − | 0.759325i | −0.0259624 | − | 0.0325558i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −1.42482 | + | 0.686155i | −0.0609765 | + | 0.0293647i | ||||
\(547\) | 25.7613 | − | 32.3036i | 1.10147 | − | 1.38120i | 0.184225 | − | 0.982884i | \(-0.441023\pi\) |
0.917247 | − | 0.398318i | \(-0.130406\pi\) | |||||||
\(548\) | −1.46239 | + | 1.16622i | −0.0624703 | + | 0.0498184i | ||||
\(549\) | −6.47098 | − | 13.4371i | −0.276175 | − | 0.573483i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −15.7312 | − | 4.71637i | −0.670170 | − | 0.200924i | ||||
\(552\) | −4.21000 | −0.179189 | ||||||||
\(553\) | 2.35024 | + | 4.88033i | 0.0999425 | + | 0.207533i | ||||
\(554\) | −1.61013 | + | 1.28403i | −0.0684078 | + | 0.0545534i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −12.8876 | + | 6.20633i | −0.546555 | + | 0.263207i | ||||
\(557\) | 19.1398 | + | 9.21726i | 0.810981 | + | 0.390548i | 0.792948 | − | 0.609290i | \(-0.208545\pi\) |
0.0180332 | + | 0.999837i | \(0.494260\pi\) | |||||||
\(558\) | −0.713406 | − | 0.894583i | −0.0302009 | − | 0.0378707i | ||||
\(559\) | −22.5225 | − | 5.14062i | −0.952601 | − | 0.217425i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 1.69395 | + | 1.35088i | 0.0715187 | + | 0.0570343i | ||||
\(562\) | 2.27998 | − | 0.520392i | 0.0961753 | − | 0.0219514i | ||||
\(563\) | 14.3265i | 0.603790i | 0.953341 | + | 0.301895i | \(0.0976193\pi\) | ||||
−0.953341 | + | 0.301895i | \(0.902381\pi\) | |||||||
\(564\) | 1.17719 | + | 5.15759i | 0.0495684 | + | 0.217174i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −1.92863 | + | 4.00485i | −0.0810664 | + | 0.168336i | ||||
\(567\) | 0.507190 | + | 2.22215i | 0.0213000 | + | 0.0933214i | ||||
\(568\) | − | 4.05921i | − | 0.170321i | ||||||
\(569\) | −16.7463 | + | 3.82222i | −0.702039 | + | 0.160236i | −0.558617 | − | 0.829426i | \(-0.688668\pi\) |
−0.143422 | + | 0.989662i | \(0.545811\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −0.918962 | + | 4.02624i | −0.0384574 | + | 0.168493i | −0.990510 | − | 0.137442i | \(-0.956112\pi\) |
0.952052 | + | 0.305935i | \(0.0989690\pi\) | |||||||
\(572\) | −21.5642 | − | 4.92190i | −0.901647 | − | 0.205795i | ||||
\(573\) | −4.42066 | − | 5.54333i | −0.184676 | − | 0.231576i | ||||
\(574\) | −2.30259 | − | 1.10887i | −0.0961080 | − | 0.0462832i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 7.90810 | − | 9.91644i | 0.329504 | − | 0.413185i | ||||
\(577\) | 35.6466 | − | 28.4272i | 1.48399 | − | 1.18344i | 0.545510 | − | 0.838104i | \(-0.316336\pi\) |
0.938479 | − | 0.345338i | \(-0.112236\pi\) | |||||||
\(578\) | −1.24409 | − | 2.58337i | −0.0517471 | − | 0.107454i | ||||
\(579\) | 4.61223 | 0.191678 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −12.7527 | −0.529071 | ||||||||
\(582\) | 0.201603 | + | 0.418634i | 0.00835673 | + | 0.0173529i | ||||
\(583\) | −1.39273 | + | 1.11067i | −0.0576810 | + | 0.0459991i | ||||
\(584\) | 0.204625 | − | 0.256592i | 0.00846745 | − | 0.0106178i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −0.882277 | − | 0.424882i | −0.0364465 | − | 0.0175517i | ||||
\(587\) | 12.0226 | + | 15.0759i | 0.496227 | + | 0.622249i | 0.965374 | − | 0.260871i | \(-0.0840099\pi\) |
−0.469147 | + | 0.883120i | \(0.655438\pi\) | |||||||
\(588\) | 3.37295 | + | 0.769853i | 0.139098 | + | 0.0317482i | ||||
\(589\) | 2.61569 | − | 11.4601i | 0.107778 | − | 0.472205i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −22.2939 | + | 5.08844i | −0.917050 | + | 0.209311i | ||||
\(592\) | 44.1585i | 1.81490i | ||||||||
\(593\) | 7.52102 | + | 32.9517i | 0.308851 | + | 1.35317i | 0.856366 | + | 0.516370i | \(0.172717\pi\) |
−0.547514 | + | 0.836796i | \(0.684426\pi\) | |||||||
\(594\) | 1.57743 | − | 3.27558i | 0.0647229 | − | 0.134399i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 7.47909 | + | 32.7680i | 0.306355 | + | 1.34223i | ||||
\(597\) | 2.21622i | 0.0907036i | ||||||||
\(598\) | −2.58437 | + | 0.589865i | −0.105683 | + | 0.0241214i | ||||
\(599\) | 15.1458 | + | 12.0784i | 0.618841 | + | 0.493509i | 0.882004 | − | 0.471242i | \(-0.156194\pi\) |
−0.263163 | + | 0.964751i | \(0.584766\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −16.6470 | − | 3.79958i | −0.679047 | − | 0.154988i | −0.130932 | − | 0.991391i | \(-0.541797\pi\) |
−0.548114 | + | 0.836403i | \(0.684654\pi\) | |||||||
\(602\) | −2.56390 | − | 3.21503i | −0.104497 | − | 0.131035i | ||||
\(603\) | 1.47788 | + | 0.711707i | 0.0601837 | + | 0.0289830i | ||||
\(604\) | −17.4792 | + | 8.41754i | −0.711218 | + | 0.342505i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −2.02856 | + | 1.61772i | −0.0824046 | + | 0.0657155i | ||||
\(607\) | −17.9395 | − | 37.2517i | −0.728140 | − | 1.51200i | −0.854182 | − | 0.519973i | \(-0.825942\pi\) |
0.126042 | − | 0.992025i | \(-0.459772\pi\) | |||||||
\(608\) | −6.13669 | −0.248876 | ||||||||
\(609\) | −17.4966 | + | 2.77900i | −0.708996 | + | 0.112611i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 2.91198 | + | 6.04678i | 0.117806 | + | 0.244627i | ||||
\(612\) | −1.29093 | + | 1.02948i | −0.0521827 | + | 0.0416143i | ||||
\(613\) | −6.00843 | + | 7.53434i | −0.242678 | + | 0.304309i | −0.888222 | − | 0.459414i | \(-0.848059\pi\) |
0.645544 | + | 0.763723i | \(0.276631\pi\) | |||||||
\(614\) | 1.96597 | − | 0.946759i | 0.0793399 | − | 0.0382081i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −4.94606 | − | 6.20216i | −0.199282 | − | 0.249892i | ||||
\(617\) | −12.1657 | − | 2.77673i | −0.489771 | − | 0.111787i | −0.0294988 | − | 0.999565i | \(-0.509391\pi\) |
−0.460272 | + | 0.887778i | \(0.652248\pi\) | |||||||
\(618\) | 0.0748812 | − | 0.328076i | 0.00301217 | − | 0.0131972i | ||||
\(619\) | 24.5785 | + | 19.6007i | 0.987892 | + | 0.787818i | 0.977242 | − | 0.212125i | \(-0.0680385\pi\) |
0.0106499 | + | 0.999943i | \(0.496610\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 29.3623i | 1.17827i | ||||||||
\(622\) | −0.476253 | − | 2.08660i | −0.0190960 | − | 0.0836651i | ||||
\(623\) | −19.7507 | + | 41.0128i | −0.791296 | + | 1.64314i | ||||
\(624\) | −5.24572 | + | 10.8929i | −0.209997 | + | 0.436063i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | − | 4.42207i | − | 0.176741i | ||||||
\(627\) | 13.3469 | − | 3.04634i | 0.533024 | − | 0.121659i | ||||
\(628\) | −4.06866 | − | 3.24465i | −0.162357 | − | 0.129476i | ||||
\(629\) | 1.23977 | − | 5.43180i | 0.0494329 | − | 0.216580i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 2.93725 | + | 3.68320i | 0.116930 | + | 0.146626i | 0.836852 | − | 0.547430i | \(-0.184394\pi\) |
−0.719922 | + | 0.694055i | \(0.755822\pi\) | |||||||
\(632\) | −1.13258 | − | 0.545423i | −0.0450517 | − | 0.0216958i | ||||
\(633\) | −18.0307 | + | 8.68315i | −0.716658 | + | 0.345124i | ||||
\(634\) | −2.89021 | + | 3.62421i | −0.114785 | + | 0.143936i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 0.428931 | + | 0.890685i | 0.0170082 | + | 0.0353179i | ||||
\(637\) | 4.38912 | 0.173903 | ||||||||
\(638\) | 3.19875 | + | 1.81319i | 0.126640 | + | 0.0717850i | ||||
\(639\) | −10.3770 | −0.410508 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 22.8183 | − | 18.1970i | 0.901268 | − | 0.718738i | −0.0588691 | − | 0.998266i | \(-0.518749\pi\) |
0.960137 | + | 0.279528i | \(0.0901780\pi\) | |||||||
\(642\) | 0.312679 | − | 0.392087i | 0.0123404 | − | 0.0154744i | ||||
\(643\) | −11.9567 | + | 5.75803i | −0.471526 | + | 0.227075i | −0.654528 | − | 0.756038i | \(-0.727133\pi\) |
0.183003 | + | 0.983112i | \(0.441418\pi\) | |||||||
\(644\) | 28.6491 | + | 13.7967i | 1.12893 | + | 0.543666i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.245402 | + | 0.0560113i | 0.00965519 | + | 0.00220374i | ||||
\(647\) | −7.64780 | + | 33.5072i | −0.300666 | + | 1.31730i | 0.568459 | + | 0.822712i | \(0.307540\pi\) |
−0.869125 | + | 0.494592i | \(0.835317\pi\) | |||||||
\(648\) | −0.413556 | − | 0.329800i | −0.0162460 | − | 0.0129558i | ||||
\(649\) | 4.84767 | − | 1.10645i | 0.190288 | − | 0.0434320i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −2.82162 | − | 12.3623i | −0.110588 | − | 0.484518i | ||||
\(652\) | 8.36013 | − | 17.3600i | 0.327408 | − | 0.679870i | ||||
\(653\) | −12.5243 | + | 26.0069i | −0.490112 | + | 1.01773i | 0.498451 | + | 0.866918i | \(0.333902\pi\) |
−0.988563 | + | 0.150810i | \(0.951812\pi\) | |||||||
\(654\) | 0.391374 | + | 1.71472i | 0.0153039 | + | 0.0670509i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −19.0485 | + | 4.34770i | −0.743721 | + | 0.169749i | ||||
\(657\) | −0.655953 | − | 0.523105i | −0.0255912 | − | 0.0204083i | ||||
\(658\) | −0.265835 | + | 1.16470i | −0.0103633 | + | 0.0454048i | ||||
\(659\) | −32.7737 | − | 7.48039i | −1.27668 | − | 0.291395i | −0.470152 | − | 0.882585i | \(-0.655801\pi\) |
−0.806532 | + | 0.591191i | \(0.798658\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 16.8358 | + | 8.10769i | 0.654836 | + | 0.315353i | 0.731638 | − | 0.681694i | \(-0.238756\pi\) |
−0.0768012 | + | 0.997046i | \(0.524471\pi\) | |||||||
\(662\) | −1.69161 | + | 0.814636i | −0.0657462 | + | 0.0316617i | ||||
\(663\) | 0.951083 | − | 1.19262i | 0.0369370 | − | 0.0463175i | ||||
\(664\) | 2.31386 | − | 1.84524i | 0.0897951 | − | 0.0716092i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −3.42675 | −0.132784 | ||||||||
\(667\) | −29.6295 | − | 1.98469i | −1.14726 | − | 0.0768476i | ||||
\(668\) | 46.5375 | 1.80059 | ||||||||
\(669\) | 9.26260 | + | 19.2340i | 0.358113 | + | 0.743629i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −21.3878 | + | 26.8195i | −0.825668 | + | 1.03536i | ||||
\(672\) | −5.96425 | + | 2.87223i | −0.230076 | + | 0.110799i | ||||
\(673\) | 28.7262 | + | 13.8338i | 1.10731 | + | 0.533254i | 0.895951 | − | 0.444153i | \(-0.146495\pi\) |
0.211363 | + | 0.977408i | \(0.432210\pi\) | |||||||
\(674\) | 1.83308 | + | 2.29861i | 0.0706076 | + | 0.0885392i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 2.23571 | − | 9.79527i | 0.0859887 | − | 0.376741i | ||||
\(677\) | −29.5275 | − | 23.5474i | −1.13483 | − | 0.905000i | −0.138484 | − | 0.990365i | \(-0.544223\pi\) |
−0.996350 | + | 0.0853646i | \(0.972794\pi\) | |||||||
\(678\) | 2.38224 | − | 0.543731i | 0.0914894 | − | 0.0208819i | ||||
\(679\) | − | 7.07107i | − | 0.271363i | ||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0.0505608 | − | 0.104991i | 0.00193749 | − | 0.00402325i | ||||
\(682\) | −1.14188 | + | 2.37114i | −0.0437249 | + | 0.0907958i | ||||
\(683\) | −3.52930 | − | 15.4629i | −0.135045 | − | 0.591671i | −0.996482 | − | 0.0838066i | \(-0.973292\pi\) |
0.861437 | − | 0.507864i | \(-0.169565\pi\) | |||||||
\(684\) | 10.4330i | 0.398915i | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −2.12762 | − | 1.69672i | −0.0812327 | − | 0.0647809i | ||||
\(687\) | 3.30262 | − | 14.4697i | 0.126003 | − | 0.552055i | ||||
\(688\) | −30.6498 | − | 6.99562i | −1.16851 | − | 0.266706i | ||||
\(689\) | 0.781959 | + | 0.980546i | 0.0297903 | + | 0.0373558i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 26.4855 | − | 12.7548i | 1.00756 | − | 0.485214i | 0.144061 | − | 0.989569i | \(-0.453984\pi\) |
0.863496 | + | 0.504355i | \(0.168270\pi\) | |||||||
\(692\) | 6.42045 | − | 8.05099i | 0.244069 | − | 0.306053i | ||||
\(693\) | −15.8552 | + | 12.6441i | −0.602291 | + | 0.480311i | ||||
\(694\) | −2.32216 | − | 4.82202i | −0.0881482 | − | 0.183042i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 2.77248 | − | 3.03587i | 0.105091 | − | 0.115074i | ||||
\(697\) | 2.46516 | 0.0933748 | ||||||||
\(698\) | 1.24946 | + | 2.59453i | 0.0472928 | + | 0.0982045i | ||||
\(699\) | 1.92288 | − | 1.53344i | 0.0727299 | − | 0.0580002i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −9.93285 | + | 4.78341i | −0.375159 | + | 0.180667i | −0.611955 | − | 0.790892i | \(-0.709617\pi\) |
0.236797 | + | 0.971559i | \(0.423902\pi\) | |||||||
\(702\) | −2.30615 | − | 1.11059i | −0.0870402 | − | 0.0419164i | ||||
\(703\) | −21.9493 | − | 27.5235i | −0.827832 | − | 1.03807i | ||||
\(704\) | −28.4417 | − | 6.49164i | −1.07194 | − | 0.244663i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −3.56606 | − | 2.84384i | −0.134210 | − | 0.107029i | ||||
\(707\) | 38.4953 | − | 8.78630i | 1.44777 | − | 0.330443i | ||||
\(708\) | − | 2.75944i | − | 0.103706i | ||||||
\(709\) | −7.44065 | − | 32.5996i | −0.279439 | − | 1.22430i | −0.898505 | − | 0.438964i | \(-0.855346\pi\) |
0.619065 | − | 0.785340i | \(-0.287512\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −1.39432 | + | 2.89534i | −0.0522912 | + | 0.108584i | ||||
\(712\) | −2.35072 | − | 10.2992i | −0.0880971 | − | 0.385979i | ||||
\(713\) | − | 21.2550i | − | 0.796005i | ||||||
\(714\) | 0.264721 | − | 0.0604209i | 0.00990695 | − | 0.00226120i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 4.97096 | − | 21.7792i | 0.185773 | − | 0.813927i | ||||
\(717\) | 16.7787 | + | 3.82963i | 0.626613 | + | 0.143020i | ||||
\(718\) | 1.28952 | + | 1.61701i | 0.0481246 | + | 0.0603464i | ||||
\(719\) | −44.2582 | − | 21.3136i | −1.65055 | − | 0.794864i | −0.999353 | − | 0.0359569i | \(-0.988552\pi\) |
−0.651199 | − | 0.758907i | \(-0.725734\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −3.19295 | + | 4.00383i | −0.118912 | + | 0.149111i | ||||
\(722\) | −1.29683 | + | 1.03419i | −0.0482632 | + | 0.0384886i | ||||
\(723\) | 6.63195 | + | 13.7714i | 0.246645 | + | 0.512163i | ||||
\(724\) | 20.3793 | 0.757392 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −0.950096 | −0.0352614 | ||||||||
\(727\) | 15.3329 | + | 31.8392i | 0.568667 | + | 1.18085i | 0.964880 | + | 0.262691i | \(0.0846100\pi\) |
−0.396213 | + | 0.918159i | \(0.629676\pi\) | |||||||
\(728\) | −4.36660 | + | 3.48225i | −0.161837 | + | 0.129061i | ||||
\(729\) | −12.0410 | + | 15.0989i | −0.445962 | + | 0.559219i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 3.57373 | + | 1.72102i | 0.132179 | + | 0.0636542i | ||||
\(732\) | 11.8694 | + | 14.8837i | 0.438704 | + | 0.550117i | ||||
\(733\) | 16.5129 | + | 3.76896i | 0.609918 | + | 0.139210i | 0.516314 | − | 0.856400i | \(-0.327304\pi\) |
0.0936046 | + | 0.995609i | \(0.470161\pi\) | |||||||
\(734\) | −1.29253 | + | 5.66292i | −0.0477080 | + | 0.209022i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −10.8181 | + | 2.46916i | −0.398761 | + | 0.0910146i | ||||
\(737\) | − | 3.77284i | − | 0.138974i | ||||||
\(738\) | −0.337387 | − | 1.47819i | −0.0124194 | − | 0.0544128i | ||||
\(739\) | 14.8159 | − | 30.7656i | 0.545012 | − | 1.13173i | −0.428594 | − | 0.903497i | \(-0.640991\pi\) |
0.973607 | − | 0.228233i | \(-0.0732947\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −2.14476 | − | 9.39682i | −0.0787899 | − | 0.345201i | ||||
\(742\) | 0.223245i | 0.00819559i | ||||||||
\(743\) | −26.8583 | + | 6.13024i | −0.985337 | + | 0.224897i | −0.684686 | − | 0.728838i | \(-0.740061\pi\) |
−0.300650 | + | 0.953734i | \(0.597204\pi\) | |||||||
\(744\) | 2.30071 | + | 1.83475i | 0.0843481 | + | 0.0672654i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 1.03281 | + | 0.235732i | 0.0378138 | + | 0.00863076i | ||||
\(747\) | −4.71719 | − | 5.91516i | −0.172593 | − | 0.216424i | ||||
\(748\) | 3.42168 | + | 1.64779i | 0.125109 | + | 0.0602493i | ||||
\(749\) | −6.87606 | + | 3.31133i | −0.251246 | + | 0.120994i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 4.50823 | − | 3.59519i | 0.164508 | − | 0.131190i | −0.537776 | − | 0.843088i | \(-0.680735\pi\) |
0.702284 | + | 0.711897i | \(0.252164\pi\) | |||||||
\(752\) | 3.96277 | + | 8.22877i | 0.144507 | + | 0.300072i | ||||
\(753\) | −23.0901 | −0.841452 | ||||||||
\(754\) | 1.27657 | − | 2.25207i | 0.0464899 | − | 0.0820155i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 13.3221 | + | 27.6636i | 0.484519 | + | 1.00611i | ||||
\(757\) | −3.55347 | + | 2.83380i | −0.129153 | + | 0.102996i | −0.685936 | − | 0.727662i | \(-0.740607\pi\) |
0.556783 | + | 0.830658i | \(0.312036\pi\) | |||||||
\(758\) | −2.78233 | + | 3.48893i | −0.101059 | + | 0.126724i | ||||
\(759\) | 22.3029 | − | 10.7405i | 0.809546 | − | 0.389857i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 22.6200 | + | 28.3646i | 0.819974 | + | 1.02822i | 0.999015 | + | 0.0443736i | \(0.0141292\pi\) |
−0.179041 | + | 0.983842i | \(0.557299\pi\) | |||||||
\(762\) | −0.214609 | − | 0.0489830i | −0.00777445 | − | 0.00177447i | ||||
\(763\) | 5.95597 | − | 26.0948i | 0.215621 | − | 0.944696i | ||||
\(764\) | −9.71655 | − | 7.74869i | −0.351532 | − | 0.280338i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 3.57064i | 0.129012i | ||||||||
\(767\) | −0.778991 | − | 3.41298i | −0.0281277 | − | 0.123236i | ||||
\(768\) | −6.68879 | + | 13.8894i | −0.241361 | + | 0.501191i | ||||
\(769\) | −14.7542 | + | 30.6375i | −0.532052 | + | 1.10482i | 0.445725 | + | 0.895170i | \(0.352946\pi\) |
−0.977777 | + | 0.209647i | \(0.932768\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 22.2738i | 0.802170i | ||||||||
\(772\) | 7.88178 | − | 1.79897i | 0.283672 | − | 0.0647462i | ||||
\(773\) | −5.50787 | − | 4.39238i | −0.198104 | − | 0.157983i | 0.519414 | − | 0.854523i | \(-0.326150\pi\) |
−0.717518 | + | 0.696540i | \(0.754722\pi\) | |||||||
\(774\) | 0.542868 | − | 2.37846i | 0.0195130 | − | 0.0854920i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 1.02314 | + | 1.28298i | 0.0367286 | + | 0.0460562i | ||||
\(777\) | −34.2146 | − | 16.4769i | −1.22744 | − | 0.591106i | ||||
\(778\) | 2.42011 | − | 1.16547i | 0.0867653 | − | 0.0417840i | ||||
\(779\) | 9.71169 | − | 12.1781i | 0.347958 | − | 0.436325i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 10.3559 | + | 21.5042i | 0.370562 | + | 0.769479i | ||||
\(782\) | 0.455145 | 0.0162759 | ||||||||
\(783\) | −21.1735 | − | 19.3365i | −0.756678 | − | 0.691029i | ||||
\(784\) | 5.97294 | 0.213319 | ||||||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 2.62894 | − | 2.09651i | 0.0937713 | − | 0.0747801i | ||||
\(787\) | −30.6610 | + | 38.4477i | −1.09295 | + | 1.37051i | −0.170062 | + | 0.985433i | \(0.554397\pi\) |
−0.922884 | + | 0.385077i | \(0.874175\pi\) | |||||||
\(788\) | −36.1131 | + | 17.3912i | −1.28648 | + | 0.619535i | ||||
\(789\) | −15.0614 | − | 7.25320i | −0.536201 | − | 0.258221i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −36.2532 | − | 8.27455i | −1.28901 | − | 0.294209i | ||||
\(792\) | 1.04725 | − | 4.58832i | 0.0372125 | − | 0.163039i | ||||
\(793\) | 18.8821 | + | 15.0580i | 0.670525 | + | 0.534726i | ||||
\(794\) | −1.92765 | + | 0.439973i | −0.0684097 | + | 0.0156141i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0.864418 | + | 3.78726i | 0.0306385 | + | 0.134236i | ||||
\(797\) | 15.0982 | − | 31.3518i | 0.534806 | − | 1.11054i | −0.442119 | − | 0.896956i | \(-0.645773\pi\) |
0.976925 | − | 0.213581i | \(-0.0685126\pi\) | |||||||
\(798\) | 0.744405 | − | 1.54577i | 0.0263517 | − | 0.0547198i | ||||
\(799\) | −0.256421 | − | 1.12345i | −0.00907151 | − | 0.0397449i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −26.3289 | + | 6.00941i | −0.930287 | + | 0.212332i | ||||
\(802\) | −0.643788 | − | 0.513404i | −0.0227329 | − | 0.0181289i | ||||
\(803\) | −0.429409 | + | 1.88136i | −0.0151535 | + | 0.0663919i | ||||
\(804\) | −2.04127 | − | 0.465908i | −0.0719902 | − | 0.0164313i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 1.66939 | + | 0.803937i | 0.0588019 | + | 0.0283175i | ||||
\(807\) | −1.57708 | + | 0.759482i | −0.0555159 | + | 0.0267350i | ||||
\(808\) | −5.71328 | + | 7.16423i | −0.200993 | + | 0.252037i | ||||
\(809\) | 39.3593 | − | 31.3880i | 1.38380 | − | 1.10354i | 0.401576 | − | 0.915826i | \(-0.368463\pi\) |
0.982223 | − | 0.187717i | \(-0.0601088\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 8.56424 | 0.300731 | 0.150366 | − | 0.988630i | \(-0.451955\pi\) | ||||
0.150366 | + | 0.988630i | \(0.451955\pi\) | |||||||
\(812\) | −28.8157 | + | 11.5734i | −1.01123 | + | 0.406147i | ||||
\(813\) | 13.6620 | 0.479149 | ||||||||
\(814\) | 3.41976 | + | 7.10121i | 0.119863 | + | 0.248897i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 1.29428 | − | 1.62298i | 0.0453089 | − | 0.0568156i | ||||
\(817\) | 22.5809 | − | 10.8744i | 0.790007 | − | 0.380447i | ||||
\(818\) | −3.67928 | − | 1.77185i | −0.128643 | − | 0.0619513i | ||||
\(819\) | 8.90205 | + | 11.1628i | 0.311063 | + | 0.390060i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −7.23124 | + | 31.6821i | −0.252372 | + | 1.10571i | 0.676829 | + | 0.736140i | \(0.263354\pi\) |
−0.929201 | + | 0.369574i | \(0.879504\pi\) | |||||||
\(822\) | 0.142673 | + | 0.113778i | 0.00497630 | + | 0.00396847i | ||||
\(823\) | 34.0344 | − | 7.76814i | 1.18637 | − | 0.270780i | 0.416590 | − | 0.909094i | \(-0.363225\pi\) |
0.769776 | + | 0.638314i | \(0.220368\pi\) | |||||||
\(824\) | − | 1.18846i | − | 0.0414019i | ||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0.270372 | − | 0.561434i | 0.00940746 | − | 0.0195348i | ||||
\(827\) | 18.3769 | − | 38.1600i | 0.639027 | − | 1.32695i | −0.290030 | − | 0.957018i | \(-0.593665\pi\) |
0.929057 | − | 0.369936i | \(-0.120620\pi\) | |||||||
\(828\) | 4.19782 | + | 18.3919i | 0.145884 | + | 0.639161i | ||||
\(829\) | 23.0078i | 0.799094i | 0.916713 | + | 0.399547i | \(0.130833\pi\) | ||||
−0.916713 | + | 0.399547i | \(0.869167\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −10.5860 | − | 8.44205i | −0.367224 | − | 0.292852i | ||||
\(832\) | −4.57041 | + | 20.0243i | −0.158450 | + | 0.694217i | ||||
\(833\) | −0.734713 | − | 0.167693i | −0.0254563 | − | 0.00581023i | ||||
\(834\) | 0.870101 | + | 1.09107i | 0.0301291 | + | 0.0377807i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 21.6202 | − | 10.4117i | 0.747749 | − | 0.360097i | ||||
\(837\) | 12.7964 | − | 16.0461i | 0.442307 | − | 0.554636i | ||||
\(838\) | 4.12472 | − | 3.28935i | 0.142486 | − | 0.113629i | ||||
\(839\) | 1.67573 | + | 3.47970i | 0.0578528 | + | 0.120132i | 0.927891 | − | 0.372852i | \(-0.121620\pi\) |
−0.870038 | + | 0.492985i | \(0.835906\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 20.9436 | − | 20.0591i | 0.722192 | − | 0.691693i | ||||
\(842\) | −1.78321 | −0.0614534 | ||||||||
\(843\) | 6.67120 | + | 13.8529i | 0.229768 | + | 0.477119i | ||||
\(844\) | −27.4257 | + | 21.8713i | −0.944033 | + | 0.752841i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −0.638562 | + | 0.307515i | −0.0219542 | + | 0.0105726i | ||||
\(847\) | 13.0268 | + | 6.27338i | 0.447606 | + | 0.215556i | ||||
\(848\) | 1.06413 | + | 1.33438i | 0.0365424 | + | 0.0458227i | ||||
\(849\) | −28.4918 | − | 6.50307i | −0.977836 | − | 0.223185i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −49.7678 | − | 39.6885i | −1.70602 | − | 1.36050i | ||||
\(852\) | 12.9135 | − | 2.94743i | 0.442411 | − | 0.100977i | ||||
\(853\) | − | 3.55963i | − | 0.121879i | −0.998141 | − | 0.0609397i | \(-0.980590\pi\) | ||
0.998141 | − | 0.0609397i | \(-0.0194097\pi\) | |||||||
\(854\) | 0.956614 | + | 4.19120i | 0.0327346 | + | 0.143420i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0.768465 | − | 1.59573i | 0.0262656 | − | 0.0545411i | ||||
\(857\) | −4.27323 | − | 18.7222i | −0.145971 | − | 0.639540i | −0.993980 | − | 0.109559i | \(-0.965056\pi\) |
0.848010 | − | 0.529981i | \(-0.177801\pi\) | |||||||
\(858\) | 2.15795i | 0.0736711i | ||||||||
\(859\) | 13.6690 | − | 3.11986i | 0.466380 | − | 0.106448i | 0.0171282 | − | 0.999853i | \(-0.494548\pi\) |
0.449252 | + | 0.893405i | \(0.351691\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 3.73894 | − | 16.3814i | 0.127423 | − | 0.558275i | ||||
\(862\) | −1.78006 | − | 0.406288i | −0.0606292 | − | 0.0138382i | ||||
\(863\) | −0.523014 | − | 0.655839i | −0.0178036 | − | 0.0223250i | 0.772850 | − | 0.634589i | \(-0.218831\pi\) |
−0.790654 | + | 0.612264i | \(0.790259\pi\) | |||||||
\(864\) | −9.65352 | − | 4.64889i | −0.328419 | − | 0.158158i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 2.93661 | − | 3.68239i | 0.0997899 | − | 0.125133i | ||||
\(867\) | 14.7388 | − | 11.7538i | 0.500555 | − | 0.399179i | ||||
\(868\) | −9.64367 | − | 20.0253i | −0.327327 | − | 0.679702i | ||||
\(869\) | 7.39147 | 0.250739 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −2.65625 | −0.0900037 | ||||||||
\(872\) | 2.69511 | + | 5.59645i | 0.0912679 | + | 0.189520i | ||||
\(873\) | 3.27982 | − | 2.61557i | 0.111005 | − | 0.0885235i | ||||
\(874\) | 1.79307 | − | 2.24844i | 0.0606517 | − | 0.0760548i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0.964873 | + | 0.464659i | 0.0326001 | + | 0.0156994i | ||||
\(877\) | 32.4944 | + | 40.7467i | 1.09726 | + | 1.37592i | 0.920076 | + | 0.391739i | \(0.128127\pi\) |
0.177182 | + | 0.984178i | \(0.443302\pi\) | |||||||
\(878\) | 4.30943 | + | 0.983598i | 0.145436 | + | 0.0331948i | ||||
\(879\) | 1.43264 | − | 6.27681i | 0.0483218 | − | 0.211712i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −6.55060 | + | 1.49513i | −0.220695 | + | 0.0503722i | −0.331439 | − | 0.943477i | \(-0.607534\pi\) |
0.110743 | + | 0.993849i | \(0.464677\pi\) | |||||||
\(882\) | 0.463507i | 0.0156071i | ||||||||
\(883\) | 3.79146 | + | 16.6115i | 0.127593 | + | 0.559020i | 0.997798 | + | 0.0663303i | \(0.0211291\pi\) |
−0.870205 | + | 0.492690i | \(0.836014\pi\) | |||||||
\(884\) | 1.16012 | − | 2.40902i | 0.0390191 | − | 0.0810240i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −0.537101 | − | 2.35320i | −0.0180443 | − | 0.0790571i | ||||
\(887\) | − | 15.9991i | − | 0.537197i | −0.963252 | − | 0.268598i | \(-0.913440\pi\) | ||
0.963252 | − | 0.268598i | \(-0.0865604\pi\) | |||||||
\(888\) | 8.59203 | − | 1.96107i | 0.288330 | − | 0.0658094i | ||||
\(889\) | 2.61908 | + | 2.08865i | 0.0878411 | + | 0.0700509i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 3.03225 | + | 0.692091i | 0.101584 | + | 0.0231859i | ||||
\(892\) | 23.3308 | + | 29.2559i | 0.781174 | + | 0.979561i | ||||
\(893\) | −6.56012 | − | 3.15919i | −0.219526 | − | 0.105718i | ||||
\(894\) | 2.95438 | − | 1.42275i | 0.0988092 | − | 0.0475840i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −12.0650 | + | 9.62150i | −0.403063 | + | 0.321432i | ||||
\(897\) | −7.56182 | − | 15.7023i | −0.252482 | − | 0.524284i | ||||
\(898\) | −3.78256 | −0.126226 | ||||||||
\(899\) | 15.3272 | + | 13.9974i | 0.511190 | + | 0.466839i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −0.0934320 | − | 0.194014i | −0.00311267 | − | 0.00646353i | ||||
\(902\) | −2.72653 | + | 2.17434i | −0.0907837 | + | 0.0723975i | ||||
\(903\) | 16.8567 | − | 21.1377i | 0.560956 | − | 0.703417i | ||||
\(904\) | 7.77507 | − | 3.74428i | 0.258595 | − | 0.124533i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 1.18010 | + | 1.47980i | 0.0392063 | + | 0.0491631i | ||||
\(907\) | 1.50979 | + | 0.344600i | 0.0501318 | + | 0.0114422i | 0.247513 | − | 0.968885i | \(-0.420387\pi\) |
−0.197381 | + | 0.980327i | \(0.563244\pi\) | |||||||
\(908\) | 0.0454520 | − | 0.199138i | 0.00150838 | − | 0.00660863i | ||||
\(909\) | 18.3147 | + | 14.6055i | 0.607460 | + | 0.484433i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 19.4756i | − | 0.645256i | −0.946526 | − | 0.322628i | \(-0.895434\pi\) | ||
0.946526 | − | 0.322628i | \(-0.104566\pi\) | |||||||
\(912\) | −2.91871 | − | 12.7877i | −0.0966480 | − | 0.423443i | ||||
\(913\) | −7.55036 | + | 15.6785i | −0.249880 | + | 0.518882i | ||||
\(914\) | −0.724144 | + | 1.50370i | −0.0239525 | + | 0.0497380i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | − | 26.0153i | − | 0.859570i | ||||||
\(917\) | −49.8886 | + | 11.3867i | −1.64747 | + | 0.376023i | ||||
\(918\) | 0.343605 | + | 0.274016i | 0.0113407 | + | 0.00904387i | ||||
\(919\) | −9.23637 | + | 40.4672i | −0.304680 | + | 1.33489i | 0.558295 | + | 0.829642i | \(0.311456\pi\) |
−0.862975 | + | 0.505247i | \(0.831401\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 8.94473 | + | 11.2163i | 0.294739 | + | 0.369591i | ||||
\(922\) | −3.10412 | − | 1.49487i | −0.102229 | − | 0.0492308i | ||||
\(923\) | 15.1399 | − | 7.29099i | 0.498336 | − | 0.239986i | ||||
\(924\) | 16.1395 | − | 20.2383i | 0.530951 | − | 0.665791i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −1.17067 | − | 2.43093i | −0.0384707 | − | 0.0798852i | ||||
\(927\) | −3.03818 | −0.0997870 | ||||||||
\(928\) | 5.34370 | − | 9.42711i | 0.175415 | − | 0.309460i | ||||
\(929\) | −12.1373 | −0.398211 | −0.199105 | − | 0.979978i | \(-0.563804\pi\) | ||||
−0.199105 | + | 0.979978i | \(0.563804\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −3.72287 | + | 2.96889i | −0.122012 | + | 0.0973015i | ||||
\(932\) | 2.68788 | − | 3.37049i | 0.0880443 | − | 0.110404i | ||||
\(933\) | 12.6779 | − | 6.10536i | 0.415056 | − | 0.199881i | ||||
\(934\) | −6.04078 | − | 2.90909i | −0.197660 | − | 0.0951882i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −3.23038 | − | 0.737314i | −0.105588 | − | 0.0240999i | ||||
\(937\) | −11.9126 | + | 52.1927i | −0.389169 | + | 1.70506i | 0.278361 | + | 0.960477i | \(0.410209\pi\) |
−0.667530 | + | 0.744583i | \(0.732648\pi\) | |||||||
\(938\) | −0.369667 | − | 0.294799i | −0.0120700 | − | 0.00962554i | ||||
\(939\) | 28.3445 | − | 6.46946i | 0.924989 | − | 0.211123i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 3.25236 | + | 14.2495i | 0.106024 | + | 0.464521i | 0.999870 | + | 0.0161466i | \(0.00513986\pi\) |
−0.893846 | + | 0.448375i | \(0.852003\pi\) | |||||||
\(942\) | −0.220288 | + | 0.457433i | −0.00717737 | + | 0.0149040i | ||||
\(943\) | 12.2203 | − | 25.3758i | 0.397949 | − | 0.826350i | ||||
\(944\) | −1.06009 | − | 4.64456i | −0.0345030 | − | 0.151168i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −5.47062 | + | 1.24863i | −0.177865 | + | 0.0405966i | ||||
\(947\) | −11.2593 | − | 8.97899i | −0.365878 | − | 0.291778i | 0.423242 | − | 0.906016i | \(-0.360892\pi\) |
−0.789120 | + | 0.614239i | \(0.789463\pi\) | |||||||
\(948\) | 0.912772 | − | 3.99911i | 0.0296454 | − | 0.129885i | ||||
\(949\) | 1.32457 | + | 0.302324i | 0.0429972 | + | 0.00981384i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −27.4588 | − | 13.2234i | −0.890411 | − | 0.428799i | ||||
\(952\) | 0.863988 | − | 0.416075i | 0.0280020 | − | 0.0134851i | ||||
\(953\) | −4.15499 | + | 5.21020i | −0.134593 | + | 0.168775i | −0.844561 | − | 0.535460i | \(-0.820138\pi\) |
0.709967 | + | 0.704235i | \(0.248710\pi\) | |||||||
\(954\) | −0.103549 | + | 0.0825777i | −0.00335253 | + | 0.00267355i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 30.1667 | 0.975660 | ||||||||
\(957\) | −6.94243 | + | 23.1560i | −0.224417 | + | 0.748528i | ||||
\(958\) | −7.22820 | −0.233533 | ||||||||
\(959\) | −1.20494 | − | 2.50207i | −0.0389094 | − | 0.0807962i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 10.0651 | − | 12.6212i | 0.324680 | − | 0.407135i | ||||
\(962\) | 4.99958 | − | 2.40767i | 0.161193 | − | 0.0776264i | ||||
\(963\) | −4.07935 | − | 1.96451i | −0.131455 | − | 0.0633055i | ||||
\(964\) | 16.7047 | + | 20.9470i | 0.538022 | + | 0.674658i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 0.690322 | − | 3.02450i | 0.0222107 | − | 0.0973116i | ||||
\(967\) | −13.9834 | − | 11.1514i | −0.449677 | − | 0.358605i | 0.372313 | − | 0.928107i | \(-0.378565\pi\) |
−0.821990 | + | 0.569502i | \(0.807136\pi\) | |||||||
\(968\) | −3.27131 | + | 0.746655i | −0.105144 | + | 0.0239984i | ||||
\(969\) | 1.65492i | 0.0531636i | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −13.2900 | + | 27.5969i | −0.426495 | + | 0.885627i | 0.571393 | + | 0.820676i | \(0.306403\pi\) |
−0.997889 | + | 0.0649502i | \(0.979311\pi\) | |||||||
\(972\) | −12.9102 | + | 26.8082i | −0.414094 | + | 0.859874i | ||||
\(973\) | −4.72576 | − | 20.7049i | −0.151501 | − | 0.663769i | ||||
\(974\) | 2.32073i | 0.0743611i | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 25.6958 | + | 20.4917i | 0.822503 | + | 0.655924i | ||||
\(977\) | −6.02069 | + | 26.3784i | −0.192619 | + | 0.843919i | 0.782573 | + | 0.622559i | \(0.213907\pi\) |
−0.975192 | + | 0.221360i | \(0.928950\pi\) | |||||||
\(978\) | −1.83270 | − | 0.418302i | −0.0586032 | − | 0.0133758i | ||||
\(979\) | 38.7285 | + | 48.5640i | 1.23777 | + | 1.55211i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 14.3068 | − | 6.88979i | 0.456781 | − | 0.219974i | ||||
\(982\) | −0.435775 | + | 0.546445i | −0.0139062 | + | 0.0174378i | ||||
\(983\) | 24.8942 | − | 19.8524i | 0.794001 | − | 0.633195i | −0.140127 | − | 0.990134i | \(-0.544751\pi\) |
0.934128 | + | 0.356939i | \(0.116180\pi\) | |||||||
\(984\) | 1.69189 | + | 3.51324i | 0.0539354 | + | 0.111998i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −0.299734 | + | 0.328209i | −0.00954548 | + | 0.0104523i | ||||
\(987\) | −7.85441 | −0.250009 | ||||||||
\(988\) | −7.33033 | − | 15.2216i | −0.233209 | − | 0.484263i | ||||
\(989\) | 35.4315 | − | 28.2557i | 1.12666 | − | 0.898479i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 21.9543 | − | 10.5726i | 0.697401 | − | 0.335851i | −0.0513697 | − | 0.998680i | \(-0.516359\pi\) |
0.748771 | + | 0.662829i | \(0.230644\pi\) | |||||||
\(992\) | 6.98805 | + | 3.36527i | 0.221871 | + | 0.106847i | ||||
\(993\) | −7.69646 | − | 9.65105i | −0.244240 | − | 0.306267i | ||||
\(994\) | 2.91617 | + | 0.665598i | 0.0924954 | + | 0.0211115i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 7.55036 | + | 6.02121i | 0.239242 | + | 0.190789i | ||||
\(997\) | 24.5985 | − | 5.61446i | 0.779044 | − | 0.177812i | 0.185533 | − | 0.982638i | \(-0.440599\pi\) |
0.593510 | + | 0.804826i | \(0.297742\pi\) | |||||||
\(998\) | − | 2.14013i | − | 0.0677448i | ||||||
\(999\) | −13.6774 | − | 59.9245i | −0.432733 | − | 1.89593i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))