Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [99,2,Mod(37,99)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(99, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("99.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 99 = 3^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 99.f (of order \(5\), degree \(4\), 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: | \(0.790518980011\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\zeta_{10})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 33) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 91.1 | ||
Root | \(0.809017 + 0.587785i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 99.91 |
Dual form | 99.2.f.a.37.1 |
$q$-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 \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.309017 | + | 0.224514i | −0.218508 | + | 0.158755i | −0.691655 | − | 0.722228i | \(-0.743118\pi\) |
0.473147 | + | 0.880984i | \(0.343118\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.572949 | + | 1.76336i | −0.286475 | + | 0.881678i | ||||
\(5\) | 1.30902 | + | 0.951057i | 0.585410 | + | 0.425325i | 0.840670 | − | 0.541547i | \(-0.182161\pi\) |
−0.255260 | + | 0.966872i | \(0.582161\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.309017 | + | 0.951057i | −0.116797 | + | 0.359466i | −0.992318 | − | 0.123716i | \(-0.960519\pi\) |
0.875520 | + | 0.483181i | \(0.160519\pi\) | |||||||
\(8\) | −0.454915 | − | 1.40008i | −0.160837 | − | 0.495005i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.618034 | −0.195440 | ||||||||
\(11\) | 2.19098 | + | 2.48990i | 0.660606 | + | 0.750733i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.42705 | − | 2.48990i | 0.950493 | − | 0.690574i | −0.000430477 | − | 1.00000i | \(-0.500137\pi\) |
0.950923 | + | 0.309426i | \(0.100137\pi\) | |||||||
\(14\) | −0.118034 | − | 0.363271i | −0.0315459 | − | 0.0970883i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.54508 | − | 1.84911i | −0.636271 | − | 0.462278i | ||||
\(17\) | −6.35410 | − | 4.61653i | −1.54110 | − | 1.11967i | −0.949644 | − | 0.313332i | \(-0.898555\pi\) |
−0.591452 | − | 0.806340i | \(-0.701445\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.263932 | − | 0.812299i | −0.0605502 | − | 0.186354i | 0.916206 | − | 0.400707i | \(-0.131236\pi\) |
−0.976756 | + | 0.214353i | \(0.931236\pi\) | |||||||
\(20\) | −2.42705 | + | 1.76336i | −0.542705 | + | 0.394298i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.23607 | − | 0.277515i | −0.263531 | − | 0.0591663i | ||||
\(23\) | 4.23607 | 0.883281 | 0.441641 | − | 0.897192i | \(-0.354397\pi\) | ||||
0.441641 | + | 0.897192i | \(0.354397\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.736068 | − | 2.26538i | −0.147214 | − | 0.453077i | ||||
\(26\) | −0.500000 | + | 1.53884i | −0.0980581 | + | 0.301792i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.50000 | − | 1.08981i | −0.283473 | − | 0.205955i | ||||
\(29\) | 1.85410 | − | 5.70634i | 0.344298 | − | 1.05964i | −0.617660 | − | 0.786445i | \(-0.711919\pi\) |
0.961958 | − | 0.273196i | \(-0.0880806\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −4.11803 | + | 2.99193i | −0.739621 | + | 0.537366i | −0.892592 | − | 0.450865i | \(-0.851116\pi\) |
0.152972 | + | 0.988231i | \(0.451116\pi\) | |||||||
\(32\) | 4.14590 | 0.732898 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 3.00000 | 0.514496 | ||||||||
\(35\) | −1.30902 | + | 0.951057i | −0.221264 | + | 0.160758i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.545085 | + | 1.67760i | −0.0896114 | + | 0.275796i | −0.985812 | − | 0.167854i | \(-0.946316\pi\) |
0.896201 | + | 0.443649i | \(0.146316\pi\) | |||||||
\(38\) | 0.263932 | + | 0.191758i | 0.0428154 | + | 0.0311072i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.736068 | − | 2.26538i | 0.116383 | − | 0.358189i | ||||
\(41\) | 1.30902 | + | 4.02874i | 0.204434 | + | 0.629183i | 0.999736 | + | 0.0229701i | \(0.00731226\pi\) |
−0.795302 | + | 0.606213i | \(0.792688\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 6.70820 | 1.02299 | 0.511496 | − | 0.859286i | \(-0.329092\pi\) | ||||
0.511496 | + | 0.859286i | \(0.329092\pi\) | |||||||
\(44\) | −5.64590 | + | 2.43690i | −0.851151 | + | 0.367376i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.30902 | + | 0.951057i | −0.193004 | + | 0.140226i | ||||
\(47\) | −0.336881 | − | 1.03681i | −0.0491391 | − | 0.151235i | 0.923476 | − | 0.383656i | \(-0.125335\pi\) |
−0.972615 | + | 0.232421i | \(0.925335\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 4.85410 | + | 3.52671i | 0.693443 | + | 0.503816i | ||||
\(50\) | 0.736068 | + | 0.534785i | 0.104096 | + | 0.0756300i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.42705 | + | 7.46969i | 0.336571 | + | 1.03586i | ||||
\(53\) | −2.11803 | + | 1.53884i | −0.290934 | + | 0.211376i | −0.723673 | − | 0.690143i | \(-0.757547\pi\) |
0.432738 | + | 0.901520i | \(0.357547\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.500000 | + | 5.34307i | 0.0674200 | + | 0.720459i | ||||
\(56\) | 1.47214 | 0.196722 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.708204 | + | 2.17963i | 0.0929917 | + | 0.286199i | ||||
\(59\) | −2.97214 | + | 9.14729i | −0.386939 | + | 1.19088i | 0.548125 | + | 0.836397i | \(0.315342\pi\) |
−0.935064 | + | 0.354480i | \(0.884658\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −6.92705 | − | 5.03280i | −0.886918 | − | 0.644384i | 0.0481546 | − | 0.998840i | \(-0.484666\pi\) |
−0.935073 | + | 0.354456i | \(0.884666\pi\) | |||||||
\(62\) | 0.600813 | − | 1.84911i | 0.0763033 | − | 0.234838i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 3.80902 | − | 2.76741i | 0.476127 | − | 0.345927i | ||||
\(65\) | 6.85410 | 0.850147 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −4.85410 | −0.593023 | −0.296511 | − | 0.955029i | \(-0.595823\pi\) | ||||
−0.296511 | + | 0.955029i | \(0.595823\pi\) | |||||||
\(68\) | 11.7812 | − | 8.55951i | 1.42867 | − | 1.03799i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.190983 | − | 0.587785i | 0.0228268 | − | 0.0702538i | ||||
\(71\) | −4.30902 | − | 3.13068i | −0.511386 | − | 0.371544i | 0.301963 | − | 0.953320i | \(-0.402358\pi\) |
−0.813349 | + | 0.581776i | \(0.802358\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.38197 | − | 7.33094i | 0.278788 | − | 0.858021i | −0.709404 | − | 0.704802i | \(-0.751036\pi\) |
0.988192 | − | 0.153219i | \(-0.0489641\pi\) | |||||||
\(74\) | −0.208204 | − | 0.640786i | −0.0242032 | − | 0.0744898i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 1.58359 | 0.181650 | ||||||||
\(77\) | −3.04508 | + | 1.31433i | −0.347020 | + | 0.149782i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −8.89919 | + | 6.46564i | −1.00124 | + | 0.727441i | −0.962353 | − | 0.271803i | \(-0.912380\pi\) |
−0.0388837 | + | 0.999244i | \(0.512380\pi\) | |||||||
\(80\) | −1.57295 | − | 4.84104i | −0.175861 | − | 0.541245i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −1.30902 | − | 0.951057i | −0.144557 | − | 0.105027i | ||||
\(83\) | −6.04508 | − | 4.39201i | −0.663534 | − | 0.482086i | 0.204320 | − | 0.978904i | \(-0.434502\pi\) |
−0.867855 | + | 0.496818i | \(0.834502\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −3.92705 | − | 12.0862i | −0.425948 | − | 1.31093i | ||||
\(86\) | −2.07295 | + | 1.50609i | −0.223532 | + | 0.162405i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.48936 | − | 4.20025i | 0.265366 | − | 0.447749i | ||||
\(89\) | 3.76393 | 0.398976 | 0.199488 | − | 0.979900i | \(-0.436072\pi\) | ||||
0.199488 | + | 0.979900i | \(0.436072\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.30902 | + | 4.02874i | 0.137222 | + | 0.422327i | ||||
\(92\) | −2.42705 | + | 7.46969i | −0.253038 | + | 0.778770i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0.336881 | + | 0.244758i | 0.0347466 | + | 0.0252449i | ||||
\(95\) | 0.427051 | − | 1.31433i | 0.0438145 | − | 0.134847i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −0.927051 | + | 0.673542i | −0.0941278 | + | 0.0683878i | −0.633854 | − | 0.773453i | \(-0.718528\pi\) |
0.539726 | + | 0.841841i | \(0.318528\pi\) | |||||||
\(98\) | −2.29180 | −0.231506 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 4.41641 | 0.441641 | ||||||||
\(101\) | −4.66312 | + | 3.38795i | −0.463998 | + | 0.337114i | −0.795097 | − | 0.606482i | \(-0.792580\pi\) |
0.331100 | + | 0.943596i | \(0.392580\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.14590 | − | 6.60440i | 0.211442 | − | 0.650750i | −0.787946 | − | 0.615745i | \(-0.788855\pi\) |
0.999387 | − | 0.0350054i | \(-0.0111448\pi\) | |||||||
\(104\) | −5.04508 | − | 3.66547i | −0.494711 | − | 0.359429i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.309017 | − | 0.951057i | 0.0300144 | − | 0.0923748i | ||||
\(107\) | 0.781153 | + | 2.40414i | 0.0755169 | + | 0.232417i | 0.981689 | − | 0.190493i | \(-0.0610086\pi\) |
−0.906172 | + | 0.422910i | \(0.861009\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −12.0000 | −1.14939 | −0.574696 | − | 0.818367i | \(-0.694880\pi\) | ||||
−0.574696 | + | 0.818367i | \(0.694880\pi\) | |||||||
\(110\) | −1.35410 | − | 1.53884i | −0.129109 | − | 0.146723i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 2.54508 | − | 1.84911i | 0.240488 | − | 0.174725i | ||||
\(113\) | −1.39919 | − | 4.30625i | −0.131624 | − | 0.405098i | 0.863425 | − | 0.504477i | \(-0.168315\pi\) |
−0.995050 | + | 0.0993784i | \(0.968315\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 5.54508 | + | 4.02874i | 0.517082 | + | 0.375682i | ||||
\(116\) | 9.00000 | + | 6.53888i | 0.835629 | + | 0.607120i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −1.13525 | − | 3.49396i | −0.104509 | − | 0.321645i | ||||
\(119\) | 6.35410 | − | 4.61653i | 0.582480 | − | 0.423196i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.39919 | + | 10.9106i | −0.127199 | + | 0.991877i | ||||
\(122\) | 3.27051 | 0.296098 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −2.91641 | − | 8.97578i | −0.261901 | − | 0.806049i | ||||
\(125\) | 3.69098 | − | 11.3597i | 0.330132 | − | 1.01604i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 4.61803 | + | 3.35520i | 0.409784 | + | 0.297726i | 0.773514 | − | 0.633779i | \(-0.218497\pi\) |
−0.363730 | + | 0.931504i | \(0.618497\pi\) | |||||||
\(128\) | −3.11803 | + | 9.59632i | −0.275598 | + | 0.848203i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −2.11803 | + | 1.53884i | −0.185764 | + | 0.134965i | ||||
\(131\) | −12.7984 | −1.11820 | −0.559100 | − | 0.829101i | \(-0.688853\pi\) | ||||
−0.559100 | + | 0.829101i | \(0.688853\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.854102 | 0.0740600 | ||||||||
\(134\) | 1.50000 | − | 1.08981i | 0.129580 | − | 0.0941456i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.57295 | + | 10.9964i | −0.306378 | + | 0.942934i | ||||
\(137\) | 11.5172 | + | 8.36775i | 0.983983 | + | 0.714905i | 0.958595 | − | 0.284772i | \(-0.0919181\pi\) |
0.0253875 | + | 0.999678i | \(0.491918\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.71885 | + | 5.29007i | −0.145791 | + | 0.448698i | −0.997112 | − | 0.0759473i | \(-0.975802\pi\) |
0.851321 | + | 0.524645i | \(0.175802\pi\) | |||||||
\(140\) | −0.927051 | − | 2.85317i | −0.0783501 | − | 0.241137i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 2.03444 | 0.170727 | ||||||||
\(143\) | 13.7082 | + | 3.07768i | 1.14634 | + | 0.257369i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 7.85410 | − | 5.70634i | 0.652248 | − | 0.473886i | ||||
\(146\) | 0.909830 | + | 2.80017i | 0.0752981 | + | 0.231744i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −2.64590 | − | 1.92236i | −0.217491 | − | 0.158017i | ||||
\(149\) | 0.190983 | + | 0.138757i | 0.0156459 | + | 0.0113674i | 0.595581 | − | 0.803295i | \(-0.296922\pi\) |
−0.579935 | + | 0.814663i | \(0.696922\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 5.85410 | + | 18.0171i | 0.476400 | + | 1.46621i | 0.844060 | + | 0.536248i | \(0.180159\pi\) |
−0.367660 | + | 0.929960i | \(0.619841\pi\) | |||||||
\(152\) | −1.01722 | + | 0.739054i | −0.0825075 | + | 0.0599452i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.645898 | − | 1.08981i | 0.0520479 | − | 0.0878197i | ||||
\(155\) | −8.23607 | −0.661537 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.708204 | + | 2.17963i | 0.0565208 | + | 0.173953i | 0.975331 | − | 0.220745i | \(-0.0708490\pi\) |
−0.918811 | + | 0.394699i | \(0.870849\pi\) | |||||||
\(158\) | 1.29837 | − | 3.99598i | 0.103293 | − | 0.317903i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 5.42705 | + | 3.94298i | 0.429046 | + | 0.311720i | ||||
\(161\) | −1.30902 | + | 4.02874i | −0.103165 | + | 0.317509i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 9.59017 | − | 6.96767i | 0.751160 | − | 0.545750i | −0.145026 | − | 0.989428i | \(-0.546327\pi\) |
0.896186 | + | 0.443678i | \(0.146327\pi\) | |||||||
\(164\) | −7.85410 | −0.613302 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.85410 | 0.221521 | ||||||||
\(167\) | −13.7812 | + | 10.0126i | −1.06642 | + | 0.774798i | −0.975265 | − | 0.221039i | \(-0.929055\pi\) |
−0.0911527 | + | 0.995837i | \(0.529055\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.52786 | − | 4.70228i | 0.117528 | − | 0.361714i | ||||
\(170\) | 3.92705 | + | 2.85317i | 0.301191 | + | 0.218828i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −3.84346 | + | 11.8290i | −0.293061 | + | 0.901949i | ||||
\(173\) | −3.40983 | − | 10.4944i | −0.259245 | − | 0.797873i | −0.992964 | − | 0.118420i | \(-0.962217\pi\) |
0.733719 | − | 0.679453i | \(-0.237783\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.38197 | 0.180060 | ||||||||
\(176\) | −0.972136 | − | 10.3884i | −0.0732775 | − | 0.783053i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1.16312 | + | 0.845055i | −0.0871795 | + | 0.0633396i | ||||
\(179\) | 5.39919 | + | 16.6170i | 0.403554 | + | 1.24201i | 0.922096 | + | 0.386960i | \(0.126475\pi\) |
−0.518542 | + | 0.855052i | \(0.673525\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −9.28115 | − | 6.74315i | −0.689863 | − | 0.501215i | 0.186752 | − | 0.982407i | \(-0.440204\pi\) |
−0.876615 | + | 0.481192i | \(0.840204\pi\) | |||||||
\(182\) | −1.30902 | − | 0.951057i | −0.0970308 | − | 0.0704970i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −1.92705 | − | 5.93085i | −0.142064 | − | 0.437228i | ||||
\(185\) | −2.30902 | + | 1.67760i | −0.169762 | + | 0.123340i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −2.42705 | − | 25.9358i | −0.177484 | − | 1.89661i | ||||
\(188\) | 2.02129 | 0.147417 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.163119 | + | 0.502029i | 0.0118339 | + | 0.0364210i | ||||
\(191\) | 7.16312 | − | 22.0458i | 0.518305 | − | 1.59518i | −0.258882 | − | 0.965909i | \(-0.583354\pi\) |
0.777187 | − | 0.629270i | \(-0.216646\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 7.97214 | + | 5.79210i | 0.573847 | + | 0.416924i | 0.836501 | − | 0.547966i | \(-0.184598\pi\) |
−0.262654 | + | 0.964890i | \(0.584598\pi\) | |||||||
\(194\) | 0.135255 | − | 0.416272i | 0.00971074 | − | 0.0298866i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −9.00000 | + | 6.53888i | −0.642857 | + | 0.467063i | ||||
\(197\) | 16.0344 | 1.14241 | 0.571203 | − | 0.820809i | \(-0.306477\pi\) | ||||
0.571203 | + | 0.820809i | \(0.306477\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −6.70820 | −0.475532 | −0.237766 | − | 0.971322i | \(-0.576415\pi\) | ||||
−0.237766 | + | 0.971322i | \(0.576415\pi\) | |||||||
\(200\) | −2.83688 | + | 2.06111i | −0.200598 | + | 0.145743i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0.680340 | − | 2.09387i | 0.0478685 | − | 0.147324i | ||||
\(203\) | 4.85410 | + | 3.52671i | 0.340691 | + | 0.247527i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −2.11803 | + | 6.51864i | −0.147930 | + | 0.455281i | ||||
\(206\) | 0.819660 | + | 2.52265i | 0.0571084 | + | 0.175762i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −13.3262 | −0.924008 | ||||||||
\(209\) | 1.44427 | − | 2.43690i | 0.0999024 | − | 0.168564i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1.11803 | + | 0.812299i | −0.0769686 | + | 0.0559210i | −0.625604 | − | 0.780141i | \(-0.715147\pi\) |
0.548636 | + | 0.836062i | \(0.315147\pi\) | |||||||
\(212\) | −1.50000 | − | 4.61653i | −0.103020 | − | 0.317064i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −0.781153 | − | 0.567541i | −0.0533985 | − | 0.0387963i | ||||
\(215\) | 8.78115 | + | 6.37988i | 0.598870 | + | 0.435104i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −1.57295 | − | 4.84104i | −0.106779 | − | 0.328631i | ||||
\(218\) | 3.70820 | − | 2.69417i | 0.251151 | − | 0.182472i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −9.70820 | − | 2.17963i | −0.654527 | − | 0.146950i | ||||
\(221\) | −33.2705 | −2.23802 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −4.69098 | − | 14.4374i | −0.314131 | − | 0.966797i | −0.976110 | − | 0.217275i | \(-0.930283\pi\) |
0.661979 | − | 0.749522i | \(-0.269717\pi\) | |||||||
\(224\) | −1.28115 | + | 3.94298i | −0.0856006 | + | 0.263452i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 1.39919 | + | 1.01657i | 0.0930725 | + | 0.0676212i | ||||
\(227\) | 2.83688 | − | 8.73102i | 0.188290 | − | 0.579498i | −0.811699 | − | 0.584076i | \(-0.801457\pi\) |
0.999990 | + | 0.00457752i | \(0.00145707\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 6.85410 | − | 4.97980i | 0.452932 | − | 0.329074i | −0.337820 | − | 0.941211i | \(-0.609690\pi\) |
0.790752 | + | 0.612136i | \(0.209690\pi\) | |||||||
\(230\) | −2.61803 | −0.172628 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −8.83282 | −0.579903 | ||||||||
\(233\) | −8.78115 | + | 6.37988i | −0.575272 | + | 0.417960i | −0.837017 | − | 0.547177i | \(-0.815702\pi\) |
0.261744 | + | 0.965137i | \(0.415702\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.545085 | − | 1.67760i | 0.0355574 | − | 0.109434i | ||||
\(236\) | −14.4271 | − | 10.4819i | −0.939121 | − | 0.682311i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −0.927051 | + | 2.85317i | −0.0600918 | + | 0.184944i | ||||
\(239\) | −0.809017 | − | 2.48990i | −0.0523310 | − | 0.161058i | 0.921476 | − | 0.388436i | \(-0.126985\pi\) |
−0.973807 | + | 0.227378i | \(0.926985\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 21.7082 | 1.39835 | 0.699174 | − | 0.714951i | \(-0.253551\pi\) | ||||
0.699174 | + | 0.714951i | \(0.253551\pi\) | |||||||
\(242\) | −2.01722 | − | 3.68571i | −0.129672 | − | 0.236927i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 12.8435 | − | 9.33132i | 0.822218 | − | 0.597376i | ||||
\(245\) | 3.00000 | + | 9.23305i | 0.191663 | + | 0.589878i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −2.92705 | − | 2.12663i | −0.186244 | − | 0.135314i | ||||
\(248\) | 6.06231 | + | 4.40452i | 0.384957 | + | 0.279687i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 1.40983 | + | 4.33901i | 0.0891655 | + | 0.274423i | ||||
\(251\) | 20.2082 | − | 14.6821i | 1.27553 | − | 0.926727i | 0.276122 | − | 0.961123i | \(-0.410951\pi\) |
0.999408 | + | 0.0343954i | \(0.0109505\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 9.28115 | + | 10.5474i | 0.583501 | + | 0.663108i | ||||
\(254\) | −2.18034 | −0.136807 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 1.71885 | + | 5.29007i | 0.107428 | + | 0.330629i | ||||
\(257\) | 3.93769 | − | 12.1190i | 0.245627 | − | 0.755961i | −0.749906 | − | 0.661544i | \(-0.769901\pi\) |
0.995533 | − | 0.0944167i | \(-0.0300986\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.42705 | − | 1.03681i | −0.0886726 | − | 0.0644244i | ||||
\(260\) | −3.92705 | + | 12.0862i | −0.243545 | + | 0.749556i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 3.95492 | − | 2.87341i | 0.244335 | − | 0.177520i | ||||
\(263\) | −18.2705 | −1.12661 | −0.563304 | − | 0.826250i | \(-0.690470\pi\) | ||||
−0.563304 | + | 0.826250i | \(0.690470\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −4.23607 | −0.260220 | ||||||||
\(266\) | −0.263932 | + | 0.191758i | −0.0161827 | + | 0.0117574i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 2.78115 | − | 8.55951i | 0.169886 | − | 0.522855i | ||||
\(269\) | 1.14590 | + | 0.832544i | 0.0698666 | + | 0.0507611i | 0.622170 | − | 0.782882i | \(-0.286251\pi\) |
−0.552304 | + | 0.833643i | \(0.686251\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 5.06231 | − | 15.5802i | 0.307513 | − | 0.946428i | −0.671214 | − | 0.741263i | \(-0.734227\pi\) |
0.978727 | − | 0.205165i | \(-0.0657731\pi\) | |||||||
\(272\) | 7.63525 | + | 23.4989i | 0.462955 | + | 1.42483i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −5.43769 | −0.328503 | ||||||||
\(275\) | 4.02786 | − | 6.79615i | 0.242889 | − | 0.409823i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −17.9721 | + | 13.0575i | −1.07984 | + | 0.784550i | −0.977655 | − | 0.210215i | \(-0.932584\pi\) |
−0.102186 | + | 0.994765i | \(0.532584\pi\) | |||||||
\(278\) | −0.656541 | − | 2.02063i | −0.0393767 | − | 0.121189i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 1.92705 | + | 1.40008i | 0.115163 | + | 0.0836711i | ||||
\(281\) | 23.6525 | + | 17.1845i | 1.41099 | + | 1.02514i | 0.993178 | + | 0.116609i | \(0.0372024\pi\) |
0.417811 | + | 0.908534i | \(0.362798\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 2.38197 | + | 7.33094i | 0.141593 | + | 0.435779i | 0.996557 | − | 0.0829083i | \(-0.0264209\pi\) |
−0.854964 | + | 0.518687i | \(0.826421\pi\) | |||||||
\(284\) | 7.98936 | − | 5.80461i | 0.474081 | − | 0.344440i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −4.92705 | + | 2.12663i | −0.291343 | + | 0.125750i | ||||
\(287\) | −4.23607 | −0.250047 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 13.8090 | + | 42.4998i | 0.812295 | + | 2.49999i | ||||
\(290\) | −1.14590 | + | 3.52671i | −0.0672894 | + | 0.207096i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 11.5623 | + | 8.40051i | 0.676633 | + | 0.491602i | ||||
\(293\) | −2.98278 | + | 9.18005i | −0.174256 | + | 0.536304i | −0.999599 | − | 0.0283276i | \(-0.990982\pi\) |
0.825343 | + | 0.564632i | \(0.190982\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −12.5902 | + | 9.14729i | −0.733028 | + | 0.532576i | ||||
\(296\) | 2.59675 | 0.150933 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −0.0901699 | −0.00522340 | ||||||||
\(299\) | 14.5172 | − | 10.5474i | 0.839553 | − | 0.609971i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2.07295 | + | 6.37988i | −0.119483 | + | 0.367730i | ||||
\(302\) | −5.85410 | − | 4.25325i | −0.336866 | − | 0.244747i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.830303 | + | 2.55541i | −0.0476212 | + | 0.146563i | ||||
\(305\) | −4.28115 | − | 13.1760i | −0.245138 | − | 0.754458i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −18.9787 | −1.08317 | −0.541586 | − | 0.840645i | \(-0.682176\pi\) | ||||
−0.541586 | + | 0.840645i | \(0.682176\pi\) | |||||||
\(308\) | −0.572949 | − | 6.12261i | −0.0326468 | − | 0.348868i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 2.54508 | − | 1.84911i | 0.144551 | − | 0.105023i | ||||
\(311\) | 6.07295 | + | 18.6906i | 0.344365 | + | 1.05985i | 0.961923 | + | 0.273322i | \(0.0881223\pi\) |
−0.617557 | + | 0.786526i | \(0.711878\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 9.28115 | + | 6.74315i | 0.524602 | + | 0.381146i | 0.818335 | − | 0.574742i | \(-0.194898\pi\) |
−0.293733 | + | 0.955888i | \(0.594898\pi\) | |||||||
\(314\) | −0.708204 | − | 0.514540i | −0.0399663 | − | 0.0290372i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −6.30244 | − | 19.3969i | −0.354540 | − | 1.09116i | ||||
\(317\) | −23.6074 | + | 17.1518i | −1.32592 | + | 0.963340i | −0.326085 | + | 0.945340i | \(0.605730\pi\) |
−0.999838 | + | 0.0179992i | \(0.994270\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 18.2705 | − | 7.88597i | 1.02295 | − | 0.441529i | ||||
\(320\) | 7.61803 | 0.425861 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.500000 | − | 1.53884i | −0.0278639 | − | 0.0857563i | ||||
\(323\) | −2.07295 | + | 6.37988i | −0.115342 | + | 0.354986i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −8.16312 | − | 5.93085i | −0.452808 | − | 0.328985i | ||||
\(326\) | −1.39919 | + | 4.30625i | −0.0774938 | + | 0.238501i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 5.04508 | − | 3.66547i | 0.278568 | − | 0.202392i | ||||
\(329\) | 1.09017 | 0.0601030 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 3.29180 | 0.180933 | 0.0904667 | − | 0.995899i | \(-0.471164\pi\) | ||||
0.0904667 | + | 0.995899i | \(0.471164\pi\) | |||||||
\(332\) | 11.2082 | − | 8.14324i | 0.615130 | − | 0.446918i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 2.01064 | − | 6.18812i | 0.110017 | − | 0.338599i | ||||
\(335\) | −6.35410 | − | 4.61653i | −0.347162 | − | 0.252228i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1.29180 | − | 3.97574i | 0.0703686 | − | 0.216572i | −0.909687 | − | 0.415294i | \(-0.863679\pi\) |
0.980056 | + | 0.198721i | \(0.0636788\pi\) | |||||||
\(338\) | 0.583592 | + | 1.79611i | 0.0317432 | + | 0.0976956i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 23.5623 | 1.27785 | ||||||||
\(341\) | −16.4721 | − | 3.69822i | −0.892016 | − | 0.200270i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −10.5172 | + | 7.64121i | −0.567877 | + | 0.412586i | ||||
\(344\) | −3.05166 | − | 9.39205i | −0.164535 | − | 0.506386i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 3.40983 | + | 2.47739i | 0.183314 | + | 0.133185i | ||||
\(347\) | −8.47214 | − | 6.15537i | −0.454808 | − | 0.330437i | 0.336683 | − | 0.941618i | \(-0.390695\pi\) |
−0.791491 | + | 0.611181i | \(0.790695\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −0.218847 | − | 0.673542i | −0.0117146 | − | 0.0360539i | 0.945028 | − | 0.326988i | \(-0.106034\pi\) |
−0.956743 | + | 0.290935i | \(0.906034\pi\) | |||||||
\(350\) | −0.736068 | + | 0.534785i | −0.0393445 | + | 0.0285854i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 9.08359 | + | 10.3229i | 0.484157 | + | 0.550211i | ||||
\(353\) | 12.0000 | 0.638696 | 0.319348 | − | 0.947638i | \(-0.396536\pi\) | ||||
0.319348 | + | 0.947638i | \(0.396536\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −2.66312 | − | 8.19624i | −0.141344 | − | 0.435011i | ||||
\(356\) | −2.15654 | + | 6.63715i | −0.114296 | + | 0.351768i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −5.39919 | − | 3.92274i | −0.285356 | − | 0.207323i | ||||
\(359\) | −1.14590 | + | 3.52671i | −0.0604782 | + | 0.186133i | −0.976731 | − | 0.214468i | \(-0.931198\pi\) |
0.916253 | + | 0.400600i | \(0.131198\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 14.7812 | − | 10.7391i | 0.777955 | − | 0.565218i | ||||
\(362\) | 4.38197 | 0.230311 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −7.85410 | −0.411667 | ||||||||
\(365\) | 10.0902 | − | 7.33094i | 0.528144 | − | 0.383719i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 8.91641 | − | 27.4419i | 0.465433 | − | 1.43245i | −0.393005 | − | 0.919536i | \(-0.628564\pi\) |
0.858438 | − | 0.512918i | \(-0.171436\pi\) | |||||||
\(368\) | −10.7812 | − | 7.83297i | −0.562006 | − | 0.408322i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.336881 | − | 1.03681i | 0.0175136 | − | 0.0539014i | ||||
\(371\) | −0.809017 | − | 2.48990i | −0.0420021 | − | 0.129269i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −34.8885 | −1.80646 | −0.903230 | − | 0.429156i | \(-0.858811\pi\) | ||||
−0.903230 | + | 0.429156i | \(0.858811\pi\) | |||||||
\(374\) | 6.57295 | + | 7.46969i | 0.339879 | + | 0.386249i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −1.29837 | + | 0.943324i | −0.0669585 | + | 0.0486482i | ||||
\(377\) | −7.85410 | − | 24.1724i | −0.404507 | − | 1.24494i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −8.80902 | − | 6.40013i | −0.452489 | − | 0.328752i | 0.338089 | − | 0.941114i | \(-0.390220\pi\) |
−0.790578 | + | 0.612362i | \(0.790220\pi\) | |||||||
\(380\) | 2.07295 | + | 1.50609i | 0.106340 | + | 0.0772606i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 2.73607 | + | 8.42075i | 0.139989 | + | 0.430843i | ||||
\(383\) | 0.572949 | − | 0.416272i | 0.0292763 | − | 0.0212705i | −0.573051 | − | 0.819520i | \(-0.694240\pi\) |
0.602327 | + | 0.798249i | \(0.294240\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −5.23607 | − | 1.17557i | −0.266855 | − | 0.0599126i | ||||
\(386\) | −3.76393 | −0.191579 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −0.656541 | − | 2.02063i | −0.0333308 | − | 0.102582i | ||||
\(389\) | −1.77458 | + | 5.46158i | −0.0899745 | + | 0.276913i | −0.985911 | − | 0.167268i | \(-0.946505\pi\) |
0.895937 | + | 0.444181i | \(0.146505\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −26.9164 | − | 19.5559i | −1.36122 | − | 0.988985i | ||||
\(392\) | 2.72949 | − | 8.40051i | 0.137860 | − | 0.424290i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −4.95492 | + | 3.59996i | −0.249625 | + | 0.181363i | ||||
\(395\) | −17.7984 | −0.895533 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −5.29180 | −0.265588 | −0.132794 | − | 0.991144i | \(-0.542395\pi\) | ||||
−0.132794 | + | 0.991144i | \(0.542395\pi\) | |||||||
\(398\) | 2.07295 | − | 1.50609i | 0.103908 | − | 0.0754933i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −2.31559 | + | 7.12667i | −0.115780 | + | 0.356333i | ||||
\(401\) | 23.2082 | + | 16.8617i | 1.15896 | + | 0.842035i | 0.989646 | − | 0.143526i | \(-0.0458442\pi\) |
0.169316 | + | 0.985562i | \(0.445844\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −6.66312 | + | 20.5070i | −0.331914 | + | 1.02153i | ||||
\(404\) | −3.30244 | − | 10.1639i | −0.164302 | − | 0.505671i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −2.29180 | −0.113740 | ||||||||
\(407\) | −5.37132 | + | 2.31838i | −0.266247 | + | 0.114918i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −2.00000 | + | 1.45309i | −0.0988936 | + | 0.0718504i | −0.636133 | − | 0.771579i | \(-0.719467\pi\) |
0.537240 | + | 0.843430i | \(0.319467\pi\) | |||||||
\(410\) | −0.809017 | − | 2.48990i | −0.0399545 | − | 0.122967i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 10.4164 | + | 7.56796i | 0.513180 | + | 0.372847i | ||||
\(413\) | −7.78115 | − | 5.65334i | −0.382886 | − | 0.278183i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −3.73607 | − | 11.4984i | −0.183396 | − | 0.564436i | ||||
\(416\) | 14.2082 | − | 10.3229i | 0.696615 | − | 0.506120i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.100813 | + | 1.07730i | 0.00493093 | + | 0.0526926i | ||||
\(419\) | 24.4508 | 1.19450 | 0.597251 | − | 0.802054i | \(-0.296260\pi\) | ||||
0.597251 | + | 0.802054i | \(0.296260\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −8.50000 | − | 26.1603i | −0.414265 | − | 1.27498i | −0.912907 | − | 0.408168i | \(-0.866168\pi\) |
0.498642 | − | 0.866808i | \(-0.333832\pi\) | |||||||
\(422\) | 0.163119 | − | 0.502029i | 0.00794051 | − | 0.0244384i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 3.11803 | + | 2.26538i | 0.151425 | + | 0.110017i | ||||
\(425\) | −5.78115 | + | 17.7926i | −0.280427 | + | 0.863066i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 6.92705 | − | 5.03280i | 0.335223 | − | 0.243554i | ||||
\(428\) | −4.68692 | −0.226551 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −4.14590 | −0.199933 | ||||||||
\(431\) | −13.8262 | + | 10.0453i | −0.665986 | + | 0.483867i | −0.868679 | − | 0.495375i | \(-0.835031\pi\) |
0.202693 | + | 0.979242i | \(0.435031\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −8.43769 | + | 25.9686i | −0.405490 | + | 1.24797i | 0.514996 | + | 0.857193i | \(0.327793\pi\) |
−0.920486 | + | 0.390776i | \(0.872207\pi\) | |||||||
\(434\) | 1.57295 | + | 1.14281i | 0.0755040 | + | 0.0548568i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 6.87539 | − | 21.1603i | 0.329271 | − | 1.01339i | ||||
\(437\) | −1.11803 | − | 3.44095i | −0.0534828 | − | 0.164603i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 36.7082 | 1.75199 | 0.875993 | − | 0.482323i | \(-0.160207\pi\) | ||||
0.875993 | + | 0.482323i | \(0.160207\pi\) | |||||||
\(440\) | 7.25329 | − | 3.13068i | 0.345787 | − | 0.149250i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 10.2812 | − | 7.46969i | 0.489025 | − | 0.355297i | ||||
\(443\) | −5.43769 | − | 16.7355i | −0.258353 | − | 0.795128i | −0.993151 | − | 0.116842i | \(-0.962723\pi\) |
0.734798 | − | 0.678286i | \(-0.237277\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 4.92705 | + | 3.57971i | 0.233565 | + | 0.169695i | ||||
\(446\) | 4.69098 | + | 3.40820i | 0.222124 | + | 0.161383i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 1.45492 | + | 4.47777i | 0.0687383 | + | 0.211555i | ||||
\(449\) | −21.7984 | + | 15.8374i | −1.02873 | + | 0.747415i | −0.968054 | − | 0.250742i | \(-0.919325\pi\) |
−0.0606750 | + | 0.998158i | \(0.519325\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −7.16312 | + | 12.0862i | −0.337298 | + | 0.569118i | ||||
\(452\) | 8.39512 | 0.394873 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 1.08359 | + | 3.33495i | 0.0508555 | + | 0.156517i | ||||
\(455\) | −2.11803 | + | 6.51864i | −0.0992950 | + | 0.305598i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 18.5902 | + | 13.5065i | 0.869611 | + | 0.631810i | 0.930483 | − | 0.366336i | \(-0.119388\pi\) |
−0.0608712 | + | 0.998146i | \(0.519388\pi\) | |||||||
\(458\) | −1.00000 | + | 3.07768i | −0.0467269 | + | 0.143811i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −10.2812 | + | 7.46969i | −0.479361 | + | 0.348276i | ||||
\(461\) | 24.2705 | 1.13039 | 0.565195 | − | 0.824957i | \(-0.308801\pi\) | ||||
0.565195 | + | 0.824957i | \(0.308801\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 35.2705 | 1.63916 | 0.819580 | − | 0.572965i | \(-0.194207\pi\) | ||||
0.819580 | + | 0.572965i | \(0.194207\pi\) | |||||||
\(464\) | −15.2705 | + | 11.0947i | −0.708916 | + | 0.515057i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 1.28115 | − | 3.94298i | 0.0593483 | − | 0.182655i | ||||
\(467\) | −12.0451 | − | 8.75127i | −0.557380 | − | 0.404960i | 0.273119 | − | 0.961980i | \(-0.411945\pi\) |
−0.830499 | + | 0.557020i | \(0.811945\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 1.50000 | − | 4.61653i | 0.0692636 | − | 0.213171i | ||||
\(470\) | 0.208204 | + | 0.640786i | 0.00960373 | + | 0.0295572i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 14.1591 | 0.651723 | ||||||||
\(473\) | 14.6976 | + | 16.7027i | 0.675795 | + | 0.767993i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1.64590 | + | 1.19581i | −0.0755190 | + | 0.0548678i | ||||
\(476\) | 4.50000 | + | 13.8496i | 0.206257 | + | 0.634794i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0.809017 | + | 0.587785i | 0.0370036 | + | 0.0268847i | ||||
\(479\) | −24.7705 | − | 17.9968i | −1.13179 | − | 0.822296i | −0.145839 | − | 0.989308i | \(-0.546588\pi\) |
−0.985955 | + | 0.167012i | \(0.946588\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 2.30902 | + | 7.10642i | 0.105282 | + | 0.324025i | ||||
\(482\) | −6.70820 | + | 4.87380i | −0.305550 | + | 0.221995i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −18.4377 | − | 8.71851i | −0.838077 | − | 0.396296i | ||||
\(485\) | −1.85410 | −0.0841904 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 0.218847 | + | 0.673542i | 0.00991691 | + | 0.0305211i | 0.955893 | − | 0.293717i | \(-0.0948922\pi\) |
−0.945976 | + | 0.324238i | \(0.894892\pi\) | |||||||
\(488\) | −3.89512 | + | 11.9880i | −0.176324 | + | 0.542669i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −3.00000 | − | 2.17963i | −0.135526 | − | 0.0984655i | ||||
\(491\) | 8.98936 | − | 27.6664i | 0.405684 | − | 1.24857i | −0.514639 | − | 0.857407i | \(-0.672074\pi\) |
0.920323 | − | 0.391160i | \(-0.127926\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −38.1246 | + | 27.6992i | −1.71705 | + | 1.24751i | ||||
\(494\) | 1.38197 | 0.0621776 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 16.0132 | 0.719012 | ||||||||
\(497\) | 4.30902 | − | 3.13068i | 0.193286 | − | 0.140430i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −7.68034 | + | 23.6377i | −0.343819 | + | 1.05817i | 0.618394 | + | 0.785868i | \(0.287784\pi\) |
−0.962213 | + | 0.272298i | \(0.912216\pi\) | |||||||
\(500\) | 17.9164 | + | 13.0170i | 0.801246 | + | 0.582139i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −2.94834 | + | 9.07405i | −0.131591 | + | 0.404995i | ||||
\(503\) | 7.00000 | + | 21.5438i | 0.312115 | + | 0.960590i | 0.976926 | + | 0.213579i | \(0.0685119\pi\) |
−0.664811 | + | 0.747011i | \(0.731488\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −9.32624 | −0.415012 | ||||||||
\(506\) | −5.23607 | − | 1.17557i | −0.232772 | − | 0.0522605i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −8.56231 | + | 6.22088i | −0.379891 | + | 0.276007i | ||||
\(509\) | 1.15654 | + | 3.55947i | 0.0512628 | + | 0.157771i | 0.973411 | − | 0.229067i | \(-0.0735674\pi\) |
−0.922148 | + | 0.386837i | \(0.873567\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 6.23607 | + | 4.53077i | 0.275867 | + | 0.200429i | ||||
\(512\) | −18.0451 | − | 13.1105i | −0.797488 | − | 0.579409i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 1.50407 | + | 4.62904i | 0.0663415 | + | 0.204178i | ||||
\(515\) | 9.09017 | − | 6.60440i | 0.400561 | − | 0.291024i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 1.84346 | − | 3.11044i | 0.0810752 | − | 0.136797i | ||||
\(518\) | 0.673762 | 0.0296034 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −3.11803 | − | 9.59632i | −0.136735 | − | 0.420827i | ||||
\(521\) | 2.76393 | − | 8.50651i | 0.121090 | − | 0.372677i | −0.872078 | − | 0.489366i | \(-0.837228\pi\) |
0.993168 | + | 0.116689i | \(0.0372282\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 12.3541 | + | 8.97578i | 0.540207 | + | 0.392483i | 0.824162 | − | 0.566354i | \(-0.191647\pi\) |
−0.283955 | + | 0.958838i | \(0.591647\pi\) | |||||||
\(524\) | 7.33282 | − | 22.5681i | 0.320336 | − | 0.985891i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 5.64590 | − | 4.10199i | 0.246173 | − | 0.178855i | ||||
\(527\) | 39.9787 | 1.74150 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −5.05573 | −0.219814 | ||||||||
\(530\) | 1.30902 | − | 0.951057i | 0.0568601 | − | 0.0413113i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.489357 | + | 1.50609i | −0.0212163 | + | 0.0652971i | ||||
\(533\) | 14.5172 | + | 10.5474i | 0.628811 | + | 0.456858i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −1.26393 | + | 3.88998i | −0.0546445 | + | 0.168179i | ||||
\(536\) | 2.20820 | + | 6.79615i | 0.0953799 | + | 0.293549i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −0.541020 | −0.0233250 | ||||||||
\(539\) | 1.85410 | + | 19.8132i | 0.0798618 | + | 0.853414i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 36.8156 | − | 26.7481i | 1.58283 | − | 1.14999i | 0.669462 | − | 0.742846i | \(-0.266525\pi\) |
0.913364 | − | 0.407144i | \(-0.133475\pi\) | |||||||
\(542\) | 1.93363 | + | 5.95110i | 0.0830565 | + | 0.255622i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −26.3435 | − | 19.1396i | −1.12947 | − | 0.820605i | ||||
\(545\) | −15.7082 | − | 11.4127i | −0.672866 | − | 0.488865i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 3.62868 | + | 11.1679i | 0.155151 | + | 0.477506i | 0.998176 | − | 0.0603684i | \(-0.0192275\pi\) |
−0.843025 | + | 0.537874i | \(0.819228\pi\) | |||||||
\(548\) | −21.3541 | + | 15.5147i | −0.912202 | + | 0.662754i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.281153 | + | 3.00444i | 0.0119884 | + | 0.128110i | ||||
\(551\) | −5.12461 | −0.218316 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −3.39919 | − | 10.4616i | −0.144548 | − | 0.444873i | ||||
\(554\) | 2.62210 | − | 8.06999i | 0.111402 | − | 0.342861i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −8.34346 | − | 6.06188i | −0.353841 | − | 0.257081i | ||||
\(557\) | 12.5557 | − | 38.6426i | 0.532003 | − | 1.63734i | −0.218033 | − | 0.975941i | \(-0.569964\pi\) |
0.750037 | − | 0.661396i | \(-0.230036\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 22.9894 | − | 16.7027i | 0.972346 | − | 0.706451i | ||||
\(560\) | 5.09017 | 0.215099 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −11.1672 | −0.471059 | ||||||||
\(563\) | −6.95492 | + | 5.05304i | −0.293115 | + | 0.212960i | −0.724617 | − | 0.689151i | \(-0.757984\pi\) |
0.431503 | + | 0.902112i | \(0.357984\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 2.26393 | − | 6.96767i | 0.0952443 | − | 0.293132i | ||||
\(566\) | −2.38197 | − | 1.73060i | −0.100121 | − | 0.0727425i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −2.42299 | + | 7.45718i | −0.101666 | + | 0.312896i | ||||
\(569\) | −3.65248 | − | 11.2412i | −0.153120 | − | 0.471254i | 0.844846 | − | 0.535010i | \(-0.179692\pi\) |
−0.997966 | + | 0.0637558i | \(0.979692\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 2.09017 | 0.0874709 | 0.0437354 | − | 0.999043i | \(-0.486074\pi\) | ||||
0.0437354 | + | 0.999043i | \(0.486074\pi\) | |||||||
\(572\) | −13.2812 | + | 22.4091i | −0.555313 | + | 0.936971i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 1.30902 | − | 0.951057i | 0.0546373 | − | 0.0396963i | ||||
\(575\) | −3.11803 | − | 9.59632i | −0.130031 | − | 0.400194i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −14.7984 | − | 10.7516i | −0.616064 | − | 0.447597i | 0.235480 | − | 0.971879i | \(-0.424334\pi\) |
−0.851545 | + | 0.524282i | \(0.824334\pi\) | |||||||
\(578\) | −13.8090 | − | 10.0328i | −0.574379 | − | 0.417311i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 5.56231 | + | 17.1190i | 0.230962 | + | 0.710829i | ||||
\(581\) | 6.04508 | − | 4.39201i | 0.250792 | − | 0.182211i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −8.47214 | − | 1.90211i | −0.350880 | − | 0.0787775i | ||||
\(584\) | −11.3475 | −0.469564 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −1.13932 | − | 3.50647i | −0.0470649 | − | 0.144851i | ||||
\(587\) | −11.7812 | + | 36.2587i | −0.486260 | + | 1.49656i | 0.343887 | + | 0.939011i | \(0.388256\pi\) |
−0.830147 | + | 0.557544i | \(0.811744\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 3.51722 | + | 2.55541i | 0.144925 | + | 0.105294i | ||||
\(590\) | 1.83688 | − | 5.65334i | 0.0756232 | − | 0.232744i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 4.48936 | − | 3.26171i | 0.184511 | − | 0.134055i | ||||
\(593\) | −15.0344 | −0.617391 | −0.308695 | − | 0.951161i | \(-0.599892\pi\) | ||||
−0.308695 | + | 0.951161i | \(0.599892\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 12.7082 | 0.520986 | ||||||||
\(596\) | −0.354102 | + | 0.257270i | −0.0145046 | + | 0.0105382i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −2.11803 | + | 6.51864i | −0.0866129 | + | 0.266567i | ||||
\(599\) | −15.0902 | − | 10.9637i | −0.616568 | − | 0.447963i | 0.235153 | − | 0.971958i | \(-0.424441\pi\) |
−0.851721 | + | 0.523996i | \(0.824441\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 8.92705 | − | 27.4746i | 0.364142 | − | 1.12071i | −0.586375 | − | 0.810040i | \(-0.699445\pi\) |
0.950517 | − | 0.310674i | \(-0.100555\pi\) | |||||||
\(602\) | −0.791796 | − | 2.43690i | −0.0322712 | − | 0.0993205i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −35.1246 | −1.42920 | ||||||||
\(605\) | −12.2082 | + | 12.9515i | −0.496334 | + | 0.526554i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −2.88197 | + | 2.09387i | −0.116975 | + | 0.0849876i | −0.644735 | − | 0.764406i | \(-0.723032\pi\) |
0.527760 | + | 0.849394i | \(0.323032\pi\) | |||||||
\(608\) | −1.09424 | − | 3.36771i | −0.0443771 | − | 0.136579i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 4.28115 | + | 3.11044i | 0.173339 | + | 0.125938i | ||||
\(611\) | −3.73607 | − | 2.71441i | −0.151145 | − | 0.109813i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −8.56231 | − | 26.3521i | −0.345828 | − | 1.06435i | −0.961139 | − | 0.276065i | \(-0.910969\pi\) |
0.615311 | − | 0.788285i | \(-0.289031\pi\) | |||||||
\(614\) | 5.86475 | − | 4.26099i | 0.236682 | − | 0.171959i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 3.22542 | + | 3.66547i | 0.129956 | + | 0.147686i | ||||
\(617\) | 11.1803 | 0.450104 | 0.225052 | − | 0.974347i | \(-0.427745\pi\) | ||||
0.225052 | + | 0.974347i | \(0.427745\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −4.98278 | − | 15.3354i | −0.200275 | − | 0.616382i | −0.999874 | − | 0.0158490i | \(-0.994955\pi\) |
0.799600 | − | 0.600533i | \(-0.205045\pi\) | |||||||
\(620\) | 4.71885 | − | 14.5231i | 0.189513 | − | 0.583262i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −6.07295 | − | 4.41226i | −0.243503 | − | 0.176915i | ||||
\(623\) | −1.16312 | + | 3.57971i | −0.0465994 | + | 0.143418i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 6.00000 | − | 4.35926i | 0.240000 | − | 0.174370i | ||||
\(626\) | −4.38197 | −0.175139 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −4.24922 | −0.169562 | ||||||||
\(629\) | 11.2082 | − | 8.14324i | 0.446900 | − | 0.324692i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −9.95492 | + | 30.6381i | −0.396299 | + | 1.21968i | 0.531646 | + | 0.846966i | \(0.321574\pi\) |
−0.927945 | + | 0.372716i | \(0.878426\pi\) | |||||||
\(632\) | 13.1008 | + | 9.51830i | 0.521122 | + | 0.378618i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 3.44427 | − | 10.6004i | 0.136790 | − | 0.420995i | ||||
\(635\) | 2.85410 | + | 8.78402i | 0.113262 | + | 0.348583i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 25.4164 | 1.00703 | ||||||||
\(638\) | −3.87539 | + | 6.53888i | −0.153428 | + | 0.258877i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −13.2082 | + | 9.59632i | −0.522100 | + | 0.379328i | ||||
\(641\) | 4.29837 | + | 13.2290i | 0.169776 | + | 0.522515i | 0.999356 | − | 0.0358711i | \(-0.0114206\pi\) |
−0.829581 | + | 0.558387i | \(0.811421\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −11.4443 | − | 8.31475i | −0.451318 | − | 0.327902i | 0.338798 | − | 0.940859i | \(-0.389980\pi\) |
−0.790116 | + | 0.612957i | \(0.789980\pi\) | |||||||
\(644\) | −6.35410 | − | 4.61653i | −0.250387 | − | 0.181917i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.791796 | − | 2.43690i | −0.0311528 | − | 0.0958785i | ||||
\(647\) | 12.9164 | − | 9.38432i | 0.507796 | − | 0.368936i | −0.304191 | − | 0.952611i | \(-0.598386\pi\) |
0.811987 | + | 0.583676i | \(0.198386\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −29.2877 | + | 12.6412i | −1.14964 | + | 0.496212i | ||||
\(650\) | 3.85410 | 0.151170 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 6.79180 | + | 20.9030i | 0.265987 | + | 0.818625i | ||||
\(653\) | 1.04508 | − | 3.21644i | 0.0408973 | − | 0.125869i | −0.928523 | − | 0.371274i | \(-0.878921\pi\) |
0.969421 | + | 0.245405i | \(0.0789210\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −16.7533 | − | 12.1720i | −0.654605 | − | 0.475598i | ||||
\(656\) | 4.11803 | − | 12.6740i | 0.160782 | − | 0.494837i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −0.336881 | + | 0.244758i | −0.0131330 | + | 0.00954168i | ||||
\(659\) | 0.875388 | 0.0341003 | 0.0170501 | − | 0.999855i | \(-0.494573\pi\) | ||||
0.0170501 | + | 0.999855i | \(0.494573\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 16.4377 | 0.639352 | 0.319676 | − | 0.947527i | \(-0.396426\pi\) | ||||
0.319676 | + | 0.947527i | \(0.396426\pi\) | |||||||
\(662\) | −1.01722 | + | 0.739054i | −0.0395354 | + | 0.0287242i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −3.39919 | + | 10.4616i | −0.131914 | + | 0.405990i | ||||
\(665\) | 1.11803 | + | 0.812299i | 0.0433555 | + | 0.0314996i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 7.85410 | − | 24.1724i | 0.304112 | − | 0.935961i | ||||
\(668\) | −9.75987 | − | 30.0378i | −0.377621 | − | 1.16220i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 3.00000 | 0.115900 | ||||||||
\(671\) | −2.64590 | − | 28.2744i | −0.102144 | − | 1.09152i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 14.4271 | − | 10.4819i | 0.556122 | − | 0.404046i | −0.273916 | − | 0.961754i | \(-0.588319\pi\) |
0.830038 | + | 0.557707i | \(0.188319\pi\) | |||||||
\(674\) | 0.493422 | + | 1.51860i | 0.0190059 | + | 0.0584942i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 7.41641 | + | 5.38834i | 0.285246 | + | 0.207244i | ||||
\(677\) | 18.1803 | + | 13.2088i | 0.698727 | + | 0.507655i | 0.879517 | − | 0.475867i | \(-0.157866\pi\) |
−0.180790 | + | 0.983522i | \(0.557866\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −0.354102 | − | 1.08981i | −0.0135892 | − | 0.0418232i | ||||
\(680\) | −15.1353 | + | 10.9964i | −0.580411 | + | 0.421693i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 5.92047 | − | 2.55541i | 0.226707 | − | 0.0978517i | ||||
\(683\) | 49.0689 | 1.87757 | 0.938784 | − | 0.344505i | \(-0.111953\pi\) | ||||
0.938784 | + | 0.344505i | \(0.111953\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 7.11803 | + | 21.9071i | 0.271966 | + | 0.837026i | ||||
\(686\) | 1.53444 | − | 4.72253i | 0.0585853 | − | 0.180307i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −17.0729 | − | 12.4042i | −0.650900 | − | 0.472907i | ||||
\(689\) | −3.42705 | + | 10.5474i | −0.130560 | + | 0.401823i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −26.4164 | + | 19.1926i | −1.00493 | + | 0.730123i | −0.963139 | − | 0.269004i | \(-0.913306\pi\) |
−0.0417884 | + | 0.999126i | \(0.513306\pi\) | |||||||
\(692\) | 20.4590 | 0.777734 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 4.00000 | 0.151838 | ||||||||
\(695\) | −7.28115 | + | 5.29007i | −0.276190 | + | 0.200664i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 10.2812 | − | 31.6421i | 0.389426 | − | 1.19853i | ||||
\(698\) | 0.218847 | + | 0.159002i | 0.00828348 | + | 0.00601830i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −1.36475 | + | 4.20025i | −0.0515825 | + | 0.158755i | ||||
\(701\) | 3.15248 | + | 9.70232i | 0.119067 | + | 0.366452i | 0.992774 | − | 0.120002i | \(-0.0382902\pi\) |
−0.873706 | + | 0.486454i | \(0.838290\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1.50658 | 0.0568217 | ||||||||
\(704\) | 15.2361 | + | 3.42071i | 0.574231 | + | 0.128923i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −3.70820 | + | 2.69417i | −0.139560 | + | 0.101396i | ||||
\(707\) | −1.78115 | − | 5.48183i | −0.0669872 | − | 0.206165i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 32.5344 | + | 23.6377i | 1.22186 | + | 0.887731i | 0.996253 | − | 0.0864884i | \(-0.0275645\pi\) |
0.225604 | + | 0.974219i | \(0.427565\pi\) | |||||||
\(710\) | 2.66312 | + | 1.93487i | 0.0999451 | + | 0.0726143i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −1.71227 | − | 5.26982i | −0.0641700 | − | 0.197495i | ||||
\(713\) | −17.4443 | + | 12.6740i | −0.653293 | + | 0.474645i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 15.0172 | + | 17.0660i | 0.561612 | + | 0.638233i | ||||
\(716\) | −32.3951 | −1.21066 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −0.437694 | − | 1.34708i | −0.0163346 | − | 0.0502727i | ||||
\(719\) | −14.3647 | + | 44.2101i | −0.535715 | + | 1.64876i | 0.206385 | + | 0.978471i | \(0.433830\pi\) |
−0.742100 | + | 0.670289i | \(0.766170\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 5.61803 | + | 4.08174i | 0.209227 | + | 0.152012i | ||||
\(722\) | −2.15654 | + | 6.63715i | −0.0802582 | + | 0.247009i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 17.2082 | − | 12.5025i | 0.639538 | − | 0.464651i | ||||
\(725\) | −14.2918 | −0.530784 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −15.8541 | −0.587996 | −0.293998 | − | 0.955806i | \(-0.594986\pi\) | ||||
−0.293998 | + | 0.955806i | \(0.594986\pi\) | |||||||
\(728\) | 5.04508 | − | 3.66547i | 0.186983 | − | 0.135851i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −1.47214 | + | 4.53077i | −0.0544862 | + | 0.167691i | ||||
\(731\) | −42.6246 | − | 30.9686i | −1.57653 | − | 1.14541i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −15.3262 | + | 47.1693i | −0.566088 | + | 1.74224i | 0.0986105 | + | 0.995126i | \(0.468560\pi\) |
−0.664698 | + | 0.747112i | \(0.731440\pi\) | |||||||
\(734\) | 3.40576 | + | 10.4819i | 0.125709 | + | 0.386893i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 17.5623 | 0.647355 | ||||||||
\(737\) | −10.6353 | − | 12.0862i | −0.391755 | − | 0.445202i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −2.42705 | + | 1.76336i | −0.0892805 | + | 0.0648661i | −0.631530 | − | 0.775351i | \(-0.717573\pi\) |
0.542250 | + | 0.840218i | \(0.317573\pi\) | |||||||
\(740\) | −1.63525 | − | 5.03280i | −0.0601132 | − | 0.185009i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0.809017 | + | 0.587785i | 0.0296999 | + | 0.0215783i | ||||
\(743\) | −5.75329 | − | 4.18001i | −0.211068 | − | 0.153350i | 0.477229 | − | 0.878779i | \(-0.341641\pi\) |
−0.688297 | + | 0.725429i | \(0.741641\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0.118034 | + | 0.363271i | 0.00432443 | + | 0.0133092i | ||||
\(746\) | 10.7812 | − | 7.83297i | 0.394726 | − | 0.286785i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 47.1246 | + | 10.5801i | 1.72305 | + | 0.386848i | ||||
\(749\) | −2.52786 | −0.0923661 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 7.06231 | + | 21.7355i | 0.257707 | + | 0.793141i | 0.993284 | + | 0.115700i | \(0.0369111\pi\) |
−0.735577 | + | 0.677441i | \(0.763089\pi\) | |||||||
\(752\) | −1.05979 | + | 3.26171i | −0.0386467 | + | 0.118942i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 7.85410 | + | 5.70634i | 0.286030 | + | 0.207813i | ||||
\(755\) | −9.47214 | + | 29.1522i | −0.344726 | + | 1.06096i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −4.04508 | + | 2.93893i | −0.147021 | + | 0.106817i | −0.658864 | − | 0.752262i | \(-0.728963\pi\) |
0.511843 | + | 0.859079i | \(0.328963\pi\) | |||||||
\(758\) | 4.15905 | 0.151064 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −2.03444 | −0.0737970 | ||||||||
\(761\) | 34.5517 | − | 25.1033i | 1.25250 | − | 0.909992i | 0.254133 | − | 0.967169i | \(-0.418210\pi\) |
0.998364 | + | 0.0571772i | \(0.0182100\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 3.70820 | − | 11.4127i | 0.134246 | − | 0.413167i | ||||
\(764\) | 34.7705 | + | 25.2623i | 1.25795 | + | 0.913956i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −0.0835921 | + | 0.257270i | −0.00302031 | + | 0.00929555i | ||||
\(767\) | 12.5902 | + | 38.7486i | 0.454605 | + | 1.39913i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 3.50658 | 0.126450 | 0.0632252 | − | 0.997999i | \(-0.479861\pi\) | ||||
0.0632252 | + | 0.997999i | \(0.479861\pi\) | |||||||
\(770\) | 1.88197 | − | 0.812299i | 0.0678213 | − | 0.0292732i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −14.7812 | + | 10.7391i | −0.531985 | + | 0.386510i | ||||
\(773\) | −1.48936 | − | 4.58377i | −0.0535684 | − | 0.164867i | 0.920693 | − | 0.390287i | \(-0.127624\pi\) |
−0.974262 | + | 0.225421i | \(0.927624\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 9.80902 | + | 7.12667i | 0.352350 | + | 0.255997i | ||||
\(776\) | 1.36475 | + | 0.991545i | 0.0489915 | + | 0.0355944i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −0.677827 | − | 2.08614i | −0.0243013 | − | 0.0747917i | ||||
\(779\) | 2.92705 | − | 2.12663i | 0.104872 | − | 0.0761943i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.64590 | − | 17.5883i | −0.0588949 | − | 0.629358i | ||||
\(782\) | 12.7082 | 0.454444 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −5.83282 | − | 17.9516i | −0.208315 | − | 0.641127i | ||||
\(785\) | −1.14590 | + | 3.52671i | −0.0408989 | + | 0.125874i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −3.00000 | − | 2.17963i | −0.106938 | − | 0.0776953i | 0.533031 | − | 0.846096i | \(-0.321053\pi\) |
−0.639969 | + | 0.768400i | \(0.721053\pi\) | |||||||
\(788\) | −9.18692 | + | 28.2744i | −0.327270 | + | 1.00723i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 5.50000 | − | 3.99598i | 0.195681 | − | 0.142171i | ||||
\(791\) | 4.52786 | 0.160992 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −36.2705 | −1.28800 | ||||||||
\(794\) | 1.63525 | − | 1.18808i | 0.0580330 | − | 0.0421635i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 3.84346 | − | 11.8290i | 0.136228 | − | 0.419266i | ||||
\(797\) | −39.2705 | − | 28.5317i | −1.39103 | − | 1.01064i | −0.995751 | − | 0.0920845i | \(-0.970647\pi\) |
−0.395282 | − | 0.918560i | \(-0.629353\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −2.64590 | + | 8.14324i | −0.0936051 | + | 0.288087i | ||||
\(800\) | −3.05166 | − | 9.39205i | −0.107893 | − | 0.332059i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −10.9574 | −0.386920 | ||||||||
\(803\) | 23.4721 | − | 10.1311i | 0.828314 | − | 0.357519i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −5.54508 | + | 4.02874i | −0.195439 | + | 0.141994i | ||||
\(806\) | −2.54508 | − | 7.83297i | −0.0896468 | − | 0.275904i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 6.86475 | + | 4.98753i | 0.241501 | + | 0.175461i | ||||
\(809\) | 12.8713 | + | 9.35156i | 0.452532 | + | 0.328783i | 0.790594 | − | 0.612340i | \(-0.209772\pi\) |
−0.338063 | + | 0.941124i | \(0.609772\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 5.07953 | + | 15.6332i | 0.178366 | + | 0.548955i | 0.999771 | − | 0.0213905i | \(-0.00680931\pi\) |
−0.821405 | + | 0.570346i | \(0.806809\pi\) | |||||||
\(812\) | −9.00000 | + | 6.53888i | −0.315838 | + | 0.229470i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 1.13932 | − | 1.92236i | 0.0399332 | − | 0.0673786i | ||||
\(815\) | 19.1803 | 0.671858 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −1.77051 | − | 5.44907i | −0.0619423 | − | 0.190639i | ||||
\(818\) | 0.291796 | − | 0.898056i | 0.0102024 | − | 0.0313998i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −10.2812 | − | 7.46969i | −0.359033 | − | 0.260853i | ||||
\(821\) | 2.65654 | − | 8.17599i | 0.0927139 | − | 0.285344i | −0.893937 | − | 0.448192i | \(-0.852068\pi\) |
0.986651 | + | 0.162848i | \(0.0520680\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −20.8992 | + | 15.1841i | −0.728500 | + | 0.529286i | −0.889089 | − | 0.457735i | \(-0.848661\pi\) |
0.160589 | + | 0.987021i | \(0.448661\pi\) | |||||||
\(824\) | −10.2229 | −0.356132 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 3.67376 | 0.127827 | ||||||||
\(827\) | 16.7082 | − | 12.1392i | 0.581001 | − | 0.422122i | −0.258084 | − | 0.966123i | \(-0.583091\pi\) |
0.839085 | + | 0.544000i | \(0.183091\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 13.1008 | − | 40.3202i | 0.455010 | − | 1.40038i | −0.416113 | − | 0.909313i | \(-0.636608\pi\) |
0.871123 | − | 0.491064i | \(-0.163392\pi\) | |||||||
\(830\) | 3.73607 | + | 2.71441i | 0.129681 | + | 0.0942186i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 6.16312 | − | 18.9681i | 0.213668 | − | 0.657602i | ||||
\(833\) | −14.5623 | − | 44.8182i | −0.504554 | − | 1.55286i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −27.5623 | −0.953833 | ||||||||
\(836\) | 3.46962 | + | 3.94298i | 0.119999 | + | 0.136371i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −7.55573 | + | 5.48956i | −0.261008 | + | 0.189634i | ||||
\(839\) | −11.0729 | − | 34.0790i | −0.382281 | − | 1.17654i | −0.938434 | − | 0.345459i | \(-0.887723\pi\) |
0.556153 | − | 0.831080i | \(-0.312277\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −5.66312 | − | 4.11450i | −0.195280 | − | 0.141879i | ||||
\(842\) | 8.50000 | + | 6.17561i | 0.292929 | + | 0.212826i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −0.791796 | − | 2.43690i | −0.0272547 | − | 0.0838815i | ||||
\(845\) | 6.47214 | − | 4.70228i | 0.222648 | − | 0.161763i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −9.94427 | − | 4.70228i | −0.341689 | − | 0.161572i | ||||
\(848\) | 8.23607 | 0.282828 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −2.20820 | − | 6.79615i | −0.0757408 | − | 0.233106i | ||||
\(851\) | −2.30902 | + | 7.10642i | −0.0791521 | + | 0.243605i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 1.75329 | + | 1.27384i | 0.0600315 | + | 0.0436154i | 0.617396 | − | 0.786652i | \(-0.288188\pi\) |
−0.557365 | + | 0.830268i | \(0.688188\pi\) | |||||||
\(854\) | −1.01064 | + | 3.11044i | −0.0345835 | + | 0.106437i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 3.01064 | − | 2.18736i | 0.102902 | − | 0.0747624i | ||||
\(857\) | −32.2361 | −1.10116 | −0.550582 | − | 0.834781i | \(-0.685594\pi\) | ||||
−0.550582 | + | 0.834781i | \(0.685594\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −7.58359 | −0.258749 | −0.129374 | − | 0.991596i | \(-0.541297\pi\) | ||||
−0.129374 | + | 0.991596i | \(0.541297\pi\) | |||||||
\(860\) | −16.2812 | + | 11.8290i | −0.555183 | + | 0.403364i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 2.01722 | − | 6.20837i | 0.0687068 | − | 0.211458i | ||||
\(863\) | 29.0344 | + | 21.0948i | 0.988344 | + | 0.718074i | 0.959558 | − | 0.281512i | \(-0.0908358\pi\) |
0.0287861 | + | 0.999586i | \(0.490836\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 5.51722 | − | 16.9803i | 0.187591 | − | 0.577346i | ||||
\(866\) | −3.22291 | − | 9.91910i | −0.109519 | − | 0.337065i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 9.43769 | 0.320336 | ||||||||
\(869\) | −35.5967 | − | 7.99197i | −1.20754 | − | 0.271109i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −16.6353 | + | 12.0862i | −0.563664 | + | 0.409526i | ||||
\(872\) | 5.45898 | + | 16.8010i | 0.184864 | + | 0.568954i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 1.11803 | + | 0.812299i | 0.0378181 | + | 0.0274764i | ||||
\(875\) | 9.66312 | + | 7.02067i | 0.326673 | + | 0.237342i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −12.3779 | − | 38.0953i | −0.417972 | − | 1.28639i | −0.909565 | − | 0.415561i | \(-0.863585\pi\) |
0.491593 | − | 0.870825i | \(-0.336415\pi\) | |||||||
\(878\) | −11.3435 | + | 8.24151i | −0.382823 | + | 0.278137i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 8.60739 | − | 14.5231i | 0.290155 | − | 0.489574i | ||||
\(881\) | −30.7984 | −1.03762 | −0.518812 | − | 0.854888i | \(-0.673625\pi\) | ||||
−0.518812 | + | 0.854888i | \(0.673625\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 5.85410 | + | 18.0171i | 0.197006 | + | 0.606323i | 0.999947 | + | 0.0102644i | \(0.00326732\pi\) |
−0.802941 | + | 0.596058i | \(0.796733\pi\) | |||||||
\(884\) | 19.0623 | − | 58.6677i | 0.641135 | − | 1.97321i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 5.43769 | + | 3.95072i | 0.182683 | + | 0.132727i | ||||
\(887\) | −9.42047 | + | 28.9932i | −0.316309 | + | 0.973498i | 0.658904 | + | 0.752227i | \(0.271020\pi\) |
−0.975212 | + | 0.221270i | \(0.928980\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −4.61803 | + | 3.35520i | −0.154884 | + | 0.112530i | ||||
\(890\) | −2.32624 | −0.0779757 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 28.1459 | 0.942394 | ||||||||
\(893\) | −0.753289 | + | 0.547296i | −0.0252079 | + | 0.0183146i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −8.73607 | + | 26.8869i | −0.292015 | + | 0.898728i | ||||
\(896\) | −8.16312 | − | 5.93085i | −0.272711 | − | 0.198136i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 3.18034 | − | 9.78808i | 0.106129 | − | 0.326632i | ||||
\(899\) | 9.43769 | + | 29.0462i | 0.314765 | + | 0.968746i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 20.5623 | 0.685030 | ||||||||
\(902\) | −0.500000 | − | 5.34307i | −0.0166482 | − | 0.177905i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −5.39261 | + | 3.91796i | −0.179356 | + | 0.130309i | ||||
\(905\) | −5.73607 | − | 17.6538i | −0.190673 | − | 0.586832i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −25.3992 | − | 18.4536i | −0.843366 | − | 0.612741i | 0.0799428 | − | 0.996799i | \(-0.474526\pi\) |
−0.923309 | + | 0.384058i | \(0.874526\pi\) | |||||||
\(908\) | 13.7705 | + | 10.0049i | 0.456990 | + | 0.332023i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.809017 | − | 2.48990i | −0.0268187 | − | 0.0825393i | ||||
\(911\) | −8.57295 | + | 6.22861i | −0.284034 | + | 0.206363i | −0.720675 | − | 0.693273i | \(-0.756168\pi\) |
0.436641 | + | 0.899636i | \(0.356168\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −2.30902 | − | 24.6745i | −0.0764173 | − | 0.816606i | ||||
\(914\) | −8.77709 | −0.290320 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 4.85410 | + | 14.9394i | 0.160384 | + | 0.493611i | ||||
\(917\) | 3.95492 | − | 12.1720i | 0.130603 | − | 0.401954i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 4.57295 | + | 3.32244i | 0.150848 | + | 0.109597i | 0.660649 | − | 0.750695i | \(-0.270281\pi\) |
−0.509801 | + | 0.860292i | \(0.670281\pi\) | |||||||
\(920\) | 3.11803 | − | 9.59632i | 0.102799 | − | 0.316381i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −7.50000 | + | 5.44907i | −0.246999 | + | 0.179456i | ||||
\(923\) | −22.5623 | −0.742647 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 4.20163 | 0.138149 | ||||||||
\(926\) | −10.8992 | + | 7.91872i | −0.358170 | + | 0.260225i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 7.68692 | − | 23.6579i | 0.252335 | − | 0.776609i | ||||
\(929\) | 0.572949 | + | 0.416272i | 0.0187978 | + | 0.0136574i | 0.597145 | − | 0.802134i | \(-0.296302\pi\) |
−0.578347 | + | 0.815791i | \(0.696302\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 1.58359 | − | 4.87380i | 0.0519001 | − | 0.159732i | ||||
\(932\) | −6.21885 | − | 19.1396i | −0.203705 | − | 0.626940i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 5.68692 | 0.186082 | ||||||||
\(935\) | 21.4894 | − | 36.2587i | 0.702777 | − | 1.18578i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −8.37132 | + | 6.08212i | −0.273479 | + | 0.198694i | −0.716068 | − | 0.698030i | \(-0.754060\pi\) |
0.442589 | + | 0.896725i | \(0.354060\pi\) | |||||||
\(938\) | 0.572949 | + | 1.76336i | 0.0187074 | + | 0.0575756i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 2.64590 | + | 1.92236i | 0.0862997 | + | 0.0627004i | ||||
\(941\) | 33.5344 | + | 24.3642i | 1.09319 | + | 0.794250i | 0.979935 | − | 0.199316i | \(-0.0638719\pi\) |
0.113256 | + | 0.993566i | \(0.463872\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 5.54508 | + | 17.0660i | 0.180573 | + | 0.555746i | ||||
\(944\) | 24.4787 | − | 17.7848i | 0.796714 | − | 0.578847i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −8.29180 | − | 1.86162i | −0.269590 | − | 0.0605266i | ||||
\(947\) | −41.3951 | −1.34516 | −0.672580 | − | 0.740024i | \(-0.734814\pi\) | ||||
−0.672580 | + | 0.740024i | \(0.734814\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −10.0902 | − | 31.0543i | −0.327541 | − | 1.00807i | ||||
\(950\) | 0.240133 | − | 0.739054i | 0.00779095 | − | 0.0239781i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −9.35410 | − | 6.79615i | −0.303168 | − | 0.220265i | ||||
\(953\) | −13.1803 | + | 40.5649i | −0.426953 | + | 1.31403i | 0.474159 | + | 0.880439i | \(0.342752\pi\) |
−0.901112 | + | 0.433587i | \(0.857248\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 30.3435 | − | 22.0458i | 0.981891 | − | 0.713386i | ||||
\(956\) | 4.85410 | 0.156993 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 11.6950 | 0.377850 | ||||||||
\(959\) | −11.5172 | + | 8.36775i | −0.371910 | + | 0.270209i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −1.57295 | + | 4.84104i | −0.0507403 | + | 0.156163i | ||||
\(962\) | −2.30902 | − | 1.67760i | −0.0744457 | − | 0.0540880i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −12.4377 | + | 38.2793i | −0.400591 | + | 1.23289i | ||||
\(965\) | 4.92705 | + | 15.1639i | 0.158607 | + | 0.488143i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −20.9230 | −0.672838 | −0.336419 | − | 0.941712i | \(-0.609216\pi\) | ||||
−0.336419 | + | 0.941712i | \(0.609216\pi\) | |||||||
\(968\) | 15.9123 | − | 3.00444i | 0.511442 | − | 0.0965663i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0.572949 | − | 0.416272i | 0.0183963 | − | 0.0133657i | ||||
\(971\) | 12.9787 | + | 39.9444i | 0.416507 | + | 1.28188i | 0.910896 | + | 0.412635i | \(0.135392\pi\) |
−0.494389 | + | 0.869240i | \(0.664608\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −4.50000 | − | 3.26944i | −0.144263 | − | 0.104813i | ||||
\(974\) | −0.218847 | − | 0.159002i | −0.00701231 | − | 0.00509474i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 8.32373 | + | 25.6178i | 0.266436 | + | 0.820006i | ||||
\(977\) | 39.3156 | − | 28.5645i | 1.25782 | − | 0.913858i | 0.259169 | − | 0.965832i | \(-0.416551\pi\) |
0.998648 | + | 0.0519742i | \(0.0165514\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 8.24671 | + | 9.37181i | 0.263566 | + | 0.299524i | ||||
\(980\) | −18.0000 | −0.574989 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 3.43363 | + | 10.5676i | 0.109571 | + | 0.337226i | ||||
\(983\) | 13.5623 | − | 41.7405i | 0.432570 | − | 1.33131i | −0.462986 | − | 0.886366i | \(-0.653222\pi\) |
0.895556 | − | 0.444949i | \(-0.146778\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 20.9894 | + | 15.2497i | 0.668777 | + | 0.485895i | ||||
\(986\) | 5.56231 | − | 17.1190i | 0.177140 | − | 0.545181i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 5.42705 | − | 3.94298i | 0.172657 | − | 0.125443i | ||||
\(989\) | 28.4164 | 0.903589 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −38.7426 | −1.23070 | −0.615350 | − | 0.788254i | \(-0.710985\pi\) | ||||
−0.615350 | + | 0.788254i | \(0.710985\pi\) | |||||||
\(992\) | −17.0729 | + | 12.4042i | −0.542067 | + | 0.393834i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −0.628677 | + | 1.93487i | −0.0199404 | + | 0.0613703i | ||||
\(995\) | −8.78115 | − | 6.37988i | −0.278381 | − | 0.202256i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −14.1525 | + | 43.5568i | −0.448213 | + | 1.37946i | 0.430708 | + | 0.902492i | \(0.358264\pi\) |
−0.878921 | + | 0.476967i | \(0.841736\pi\) | |||||||
\(998\) | −2.93363 | − | 9.02878i | −0.0928624 | − | 0.285801i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))