Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [600,2,Mod(251,600)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(600, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("600.251");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 600 = 2^{3} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 600.b (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.79102412128\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Coefficient field: | 12.0.537291533250985984.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 5x^{10} + 14x^{8} - 30x^{6} + 56x^{4} - 80x^{2} + 64 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 251.1 | ||
Root | \(1.39298 + 0.244153i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 600.251 |
Dual form | 600.2.b.h.251.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/600\mathbb{Z}\right)^\times\).
\(n\) | \(151\) | \(301\) | \(401\) | \(577\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.39298 | − | 0.244153i | −0.984985 | − | 0.172642i | ||||
\(3\) | −1.31310 | + | 1.12950i | −0.758118 | + | 0.652117i | ||||
\(4\) | 1.88078 | + | 0.680200i | 0.940389 | + | 0.340100i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 2.10489 | − | 1.25277i | 0.859318 | − | 0.511442i | ||||
\(7\) | − | 4.34495i | − | 1.64224i | −0.570758 | − | 0.821118i | \(-0.693350\pi\) | ||
0.570758 | − | 0.821118i | \(-0.306650\pi\) | |||||||
\(8\) | −2.45381 | − | 1.40670i | −0.867553 | − | 0.497344i | ||||
\(9\) | 0.448458 | − | 2.96629i | 0.149486 | − | 0.988764i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.83679i | 0.553813i | 0.960897 | + | 0.276907i | \(0.0893093\pi\) | ||||
−0.960897 | + | 0.276907i | \(0.910691\pi\) | |||||||
\(12\) | −3.23793 | + | 1.23117i | −0.934711 | + | 0.355408i | ||||
\(13\) | 0.588129i | 0.163118i | 0.996669 | + | 0.0815588i | \(0.0259898\pi\) | ||||
−0.996669 | + | 0.0815588i | \(0.974010\pi\) | |||||||
\(14\) | −1.06083 | + | 6.05242i | −0.283520 | + | 1.61758i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.07466 | + | 2.55861i | 0.768664 | + | 0.639653i | ||||
\(17\) | 5.37818i | 1.30440i | 0.758047 | + | 0.652200i | \(0.226154\pi\) | ||||
−0.758047 | + | 0.652200i | \(0.773846\pi\) | |||||||
\(18\) | −1.34892 | + | 4.02249i | −0.317944 | + | 0.948110i | ||||
\(19\) | −5.38776 | −1.23604 | −0.618018 | − | 0.786164i | \(-0.712064\pi\) | ||||
−0.618018 | + | 0.786164i | \(0.712064\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 4.90762 | + | 5.70535i | 1.07093 | + | 1.24501i | ||||
\(22\) | 0.448458 | − | 2.55861i | 0.0956116 | − | 0.545498i | ||||
\(23\) | −2.40885 | −0.502280 | −0.251140 | − | 0.967951i | \(-0.580806\pi\) | ||||
−0.251140 | + | 0.967951i | \(0.580806\pi\) | |||||||
\(24\) | 4.81097 | − | 0.924442i | 0.982035 | − | 0.188701i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 0.143593 | − | 0.819251i | 0.0281610 | − | 0.160668i | ||||
\(27\) | 2.76156 | + | 4.40157i | 0.531462 | + | 0.847082i | ||||
\(28\) | 2.95543 | − | 8.17189i | 0.558525 | − | 1.54434i | ||||
\(29\) | −7.98077 | −1.48199 | −0.740996 | − | 0.671510i | \(-0.765646\pi\) | ||||
−0.740996 | + | 0.671510i | \(0.765646\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 7.06575i | − | 1.26905i | −0.772904 | − | 0.634523i | \(-0.781197\pi\) | ||
0.772904 | − | 0.634523i | \(-0.218803\pi\) | |||||||
\(32\) | −3.65824 | − | 4.31478i | −0.646691 | − | 0.762752i | ||||
\(33\) | −2.07466 | − | 2.41189i | −0.361151 | − | 0.419856i | ||||
\(34\) | 1.31310 | − | 7.49169i | 0.225195 | − | 1.28481i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 2.86112 | − | 5.27390i | 0.476854 | − | 0.878983i | ||||
\(37\) | 2.72080i | 0.447297i | 0.974670 | + | 0.223648i | \(0.0717967\pi\) | ||||
−0.974670 | + | 0.223648i | \(0.928203\pi\) | |||||||
\(38\) | 7.50503 | + | 1.31544i | 1.21748 | + | 0.213392i | ||||
\(39\) | −0.664291 | − | 0.772271i | −0.106372 | − | 0.123662i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | − | 3.42496i | − | 0.534888i | −0.963573 | − | 0.267444i | \(-0.913821\pi\) | ||
0.963573 | − | 0.267444i | \(-0.0861791\pi\) | |||||||
\(42\) | −5.44323 | − | 9.14564i | −0.839909 | − | 1.41120i | ||||
\(43\) | −2.96772 | −0.452574 | −0.226287 | − | 0.974061i | \(-0.572659\pi\) | ||||
−0.226287 | + | 0.974061i | \(0.572659\pi\) | |||||||
\(44\) | −1.24939 | + | 3.45460i | −0.188352 | + | 0.520800i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 3.35548 | + | 0.588129i | 0.494739 | + | 0.0867148i | ||||
\(47\) | −9.81525 | −1.43170 | −0.715850 | − | 0.698254i | \(-0.753961\pi\) | ||||
−0.715850 | + | 0.698254i | \(0.753961\pi\) | |||||||
\(48\) | −6.92728 | + | 0.113116i | −0.999867 | + | 0.0163269i | ||||
\(49\) | −11.8786 | −1.69694 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −6.07466 | − | 7.06208i | −0.850622 | − | 0.988889i | ||||
\(52\) | −0.400045 | + | 1.10614i | −0.0554763 | + | 0.153394i | ||||
\(53\) | 6.65218 | 0.913748 | 0.456874 | − | 0.889531i | \(-0.348969\pi\) | ||||
0.456874 | + | 0.889531i | \(0.348969\pi\) | |||||||
\(54\) | −2.77213 | − | 6.80553i | −0.377240 | − | 0.926116i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −6.11205 | + | 10.6617i | −0.816757 | + | 1.42473i | ||||
\(57\) | 7.07466 | − | 6.08547i | 0.937061 | − | 0.806040i | ||||
\(58\) | 11.1170 | + | 1.94853i | 1.45974 | + | 0.255854i | ||||
\(59\) | − | 10.7564i | − | 1.40036i | −0.713967 | − | 0.700179i | \(-0.753103\pi\) | ||
0.713967 | − | 0.700179i | \(-0.246897\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 9.27803i | 1.18793i | 0.804491 | + | 0.593965i | \(0.202438\pi\) | ||||
−0.804491 | + | 0.593965i | \(0.797562\pi\) | |||||||
\(62\) | −1.72512 | + | 9.84244i | −0.219091 | + | 1.24999i | ||||
\(63\) | −12.8884 | − | 1.94853i | −1.62378 | − | 0.245492i | ||||
\(64\) | 4.04238 | + | 6.90356i | 0.505298 | + | 0.862945i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 2.30108 | + | 3.86624i | 0.283244 | + | 0.475902i | ||||
\(67\) | −4.13536 | −0.505215 | −0.252607 | − | 0.967569i | \(-0.581288\pi\) | ||||
−0.252607 | + | 0.967569i | \(0.581288\pi\) | |||||||
\(68\) | −3.65824 | + | 10.1152i | −0.443626 | + | 1.22664i | ||||
\(69\) | 3.16306 | − | 2.72080i | 0.380788 | − | 0.327546i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −12.2241 | −1.45073 | −0.725367 | − | 0.688363i | \(-0.758330\pi\) | ||||
−0.725367 | + | 0.688363i | \(0.758330\pi\) | |||||||
\(72\) | −5.27312 | + | 6.64787i | −0.621443 | + | 0.783459i | ||||
\(73\) | −4.42003 | −0.517325 | −0.258663 | − | 0.965968i | \(-0.583282\pi\) | ||||
−0.258663 | + | 0.965968i | \(0.583282\pi\) | |||||||
\(74\) | 0.664291 | − | 3.79002i | 0.0772223 | − | 0.440580i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −10.1332 | − | 3.66475i | −1.16235 | − | 0.420376i | ||||
\(77\) | 7.98077 | 0.909493 | ||||||||
\(78\) | 0.736791 | + | 1.23795i | 0.0834252 | + | 0.140170i | ||||
\(79\) | 12.5870i | 1.41614i | 0.706141 | + | 0.708072i | \(0.250435\pi\) | ||||
−0.706141 | + | 0.708072i | \(0.749565\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −8.59777 | − | 2.66052i | −0.955308 | − | 0.295613i | ||||
\(82\) | −0.836213 | + | 4.77089i | −0.0923443 | + | 0.526857i | ||||
\(83\) | − | 11.5594i | − | 1.26881i | −0.773002 | − | 0.634404i | \(-0.781246\pi\) | ||
0.773002 | − | 0.634404i | \(-0.218754\pi\) | |||||||
\(84\) | 5.34937 | + | 14.0687i | 0.583664 | + | 1.53502i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 4.13398 | + | 0.724579i | 0.445778 | + | 0.0781334i | ||||
\(87\) | 10.4795 | − | 9.01428i | 1.12352 | − | 0.966432i | ||||
\(88\) | 2.58382 | − | 4.50714i | 0.275436 | − | 0.480463i | ||||
\(89\) | 4.21222i | 0.446495i | 0.974762 | + | 0.223247i | \(0.0716658\pi\) | ||||
−0.974762 | + | 0.223247i | \(0.928334\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.55539 | 0.267878 | ||||||||
\(92\) | −4.53052 | − | 1.63850i | −0.472339 | − | 0.170826i | ||||
\(93\) | 7.98077 | + | 9.27803i | 0.827567 | + | 0.962087i | ||||
\(94\) | 13.6724 | + | 2.39642i | 1.41020 | + | 0.247172i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 9.67717 | + | 1.53375i | 0.987672 | + | 0.156538i | ||||
\(97\) | −2.16763 | −0.220090 | −0.110045 | − | 0.993927i | \(-0.535099\pi\) | ||||
−0.110045 | + | 0.993927i | \(0.535099\pi\) | |||||||
\(98\) | 16.5466 | + | 2.90019i | 1.67146 | + | 0.292964i | ||||
\(99\) | 5.44846 | + | 0.823724i | 0.547591 | + | 0.0827874i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −3.16306 | −0.314736 | −0.157368 | − | 0.987540i | \(-0.550301\pi\) | ||||
−0.157368 | + | 0.987540i | \(0.550301\pi\) | |||||||
\(102\) | 6.73764 | + | 11.3205i | 0.667125 | + | 1.12089i | ||||
\(103\) | − | 12.5870i | − | 1.24023i | −0.784511 | − | 0.620115i | \(-0.787086\pi\) | ||
0.784511 | − | 0.620115i | \(-0.212914\pi\) | |||||||
\(104\) | 0.827322 | − | 1.44316i | 0.0811256 | − | 0.141513i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −9.26635 | − | 1.62415i | −0.900027 | − | 0.157751i | ||||
\(107\) | 3.79002i | 0.366395i | 0.983076 | + | 0.183197i | \(0.0586447\pi\) | ||||
−0.983076 | + | 0.183197i | \(0.941355\pi\) | |||||||
\(108\) | 2.19993 | + | 10.1568i | 0.211689 | + | 0.977337i | ||||
\(109\) | − | 0.588129i | − | 0.0563325i | −0.999603 | − | 0.0281663i | \(-0.991033\pi\) | ||
0.999603 | − | 0.0281663i | \(-0.00896678\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −3.07314 | − | 3.57268i | −0.291690 | − | 0.339104i | ||||
\(112\) | 11.1170 | − | 13.3592i | 1.05046 | − | 1.26233i | ||||
\(113\) | − | 11.0621i | − | 1.04064i | −0.853972 | − | 0.520319i | \(-0.825813\pi\) | ||
0.853972 | − | 0.520319i | \(-0.174187\pi\) | |||||||
\(114\) | −11.3406 | + | 6.74963i | −1.06215 | + | 0.632161i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −15.0101 | − | 5.42852i | −1.39365 | − | 0.504025i | ||||
\(117\) | 1.74456 | + | 0.263751i | 0.161285 | + | 0.0243838i | ||||
\(118\) | −2.62620 | + | 14.9834i | −0.241761 | + | 1.37933i | ||||
\(119\) | 23.3679 | 2.14213 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 7.62620 | 0.693291 | ||||||||
\(122\) | 2.26526 | − | 12.9241i | 0.205087 | − | 1.17009i | ||||
\(123\) | 3.86849 | + | 4.49731i | 0.348810 | + | 0.405508i | ||||
\(124\) | 4.80612 | − | 13.2891i | 0.431603 | − | 1.19340i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 17.4775 | + | 5.86100i | 1.55702 | + | 0.522139i | ||||
\(127\) | 12.9552i | 1.14959i | 0.818297 | + | 0.574796i | \(0.194919\pi\) | ||||
−0.818297 | + | 0.574796i | \(0.805081\pi\) | |||||||
\(128\) | −3.94542 | − | 10.6035i | −0.348730 | − | 0.937223i | ||||
\(129\) | 3.89692 | − | 3.35205i | 0.343104 | − | 0.295131i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 2.98699i | 0.260974i | 0.991450 | + | 0.130487i | \(0.0416541\pi\) | ||||
−0.991450 | + | 0.130487i | \(0.958346\pi\) | |||||||
\(132\) | −2.26140 | − | 5.94741i | −0.196830 | − | 0.517656i | ||||
\(133\) | 23.4095i | 2.02986i | ||||||||
\(134\) | 5.76047 | + | 1.00966i | 0.497629 | + | 0.0872214i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 7.56550 | − | 13.1970i | 0.648736 | − | 1.13164i | ||||
\(137\) | − | 5.66820i | − | 0.484267i | −0.970243 | − | 0.242133i | \(-0.922153\pi\) | ||
0.970243 | − | 0.242133i | \(-0.0778471\pi\) | |||||||
\(138\) | −5.07037 | + | 3.01774i | −0.431618 | + | 0.256887i | ||||
\(139\) | −2.69075 | −0.228226 | −0.114113 | − | 0.993468i | \(-0.536403\pi\) | ||||
−0.114113 | + | 0.993468i | \(0.536403\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 12.8884 | − | 11.0863i | 1.08540 | − | 0.933637i | ||||
\(142\) | 17.0279 | + | 2.98455i | 1.42895 | + | 0.250458i | ||||
\(143\) | −1.08027 | −0.0903367 | ||||||||
\(144\) | 8.96844 | − | 7.97290i | 0.747370 | − | 0.664408i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 6.15701 | + | 1.07916i | 0.509558 | + | 0.0893122i | ||||
\(147\) | 15.5978 | − | 13.4169i | 1.28648 | − | 1.10661i | ||||
\(148\) | −1.85069 | + | 5.11722i | −0.152126 | + | 0.420633i | ||||
\(149\) | −20.9591 | −1.71703 | −0.858517 | − | 0.512785i | \(-0.828614\pi\) | ||||
−0.858517 | + | 0.512785i | \(0.828614\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 3.16869i | 0.257865i | 0.991653 | + | 0.128932i | \(0.0411550\pi\) | ||||
−0.991653 | + | 0.128932i | \(0.958845\pi\) | |||||||
\(152\) | 13.2205 | + | 7.57896i | 1.07233 | + | 0.614735i | ||||
\(153\) | 15.9533 | + | 2.41189i | 1.28974 | + | 0.194990i | ||||
\(154\) | −11.1170 | − | 1.94853i | −0.895836 | − | 0.157017i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −0.724086 | − | 1.90432i | −0.0579733 | − | 0.152468i | ||||
\(157\) | 11.9988i | 0.957611i | 0.877921 | + | 0.478805i | \(0.158930\pi\) | ||||
−0.877921 | + | 0.478805i | \(0.841070\pi\) | |||||||
\(158\) | 3.07314 | − | 17.5334i | 0.244486 | − | 1.39488i | ||||
\(159\) | −8.73498 | + | 7.51364i | −0.692729 | + | 0.595871i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 10.4663i | 0.824864i | ||||||||
\(162\) | 11.3269 | + | 5.80521i | 0.889928 | + | 0.456101i | ||||
\(163\) | −13.1816 | −1.03246 | −0.516231 | − | 0.856449i | \(-0.672665\pi\) | ||||
−0.516231 | + | 0.856449i | \(0.672665\pi\) | |||||||
\(164\) | 2.32965 | − | 6.44158i | 0.181915 | − | 0.503003i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −2.82226 | + | 16.1020i | −0.219050 | + | 1.24976i | ||||
\(167\) | −3.73744 | −0.289211 | −0.144606 | − | 0.989489i | \(-0.546191\pi\) | ||||
−0.144606 | + | 0.989489i | \(0.546191\pi\) | |||||||
\(168\) | −4.01666 | − | 20.9034i | −0.309892 | − | 1.61273i | ||||
\(169\) | 12.6541 | 0.973393 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −2.41618 | + | 15.9817i | −0.184770 | + | 1.22215i | ||||
\(172\) | −5.58163 | − | 2.01865i | −0.425596 | − | 0.153920i | ||||
\(173\) | 6.65218 | 0.505756 | 0.252878 | − | 0.967498i | \(-0.418623\pi\) | ||||
0.252878 | + | 0.967498i | \(0.418623\pi\) | |||||||
\(174\) | −16.7986 | + | 9.99809i | −1.27350 | + | 0.757953i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −4.69963 | + | 5.64750i | −0.354248 | + | 0.425696i | ||||
\(177\) | 12.1493 | + | 14.1242i | 0.913198 | + | 1.06164i | ||||
\(178\) | 1.02843 | − | 5.86754i | 0.0770839 | − | 0.439791i | ||||
\(179\) | 18.4093i | 1.37598i | 0.725722 | + | 0.687988i | \(0.241506\pi\) | ||||
−0.725722 | + | 0.687988i | \(0.758494\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 19.5125i | − | 1.45035i | −0.688564 | − | 0.725175i | \(-0.741759\pi\) | ||
0.688564 | − | 0.725175i | \(-0.258241\pi\) | |||||||
\(182\) | −3.55960 | − | 0.623906i | −0.263855 | − | 0.0462470i | ||||
\(183\) | −10.4795 | − | 12.1830i | −0.774670 | − | 0.900591i | ||||
\(184\) | 5.91087 | + | 3.38854i | 0.435755 | + | 0.249806i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −8.85178 | − | 14.8726i | −0.649044 | − | 1.09051i | ||||
\(187\) | −9.87859 | −0.722394 | ||||||||
\(188\) | −18.4603 | − | 6.67633i | −1.34636 | − | 0.486921i | ||||
\(189\) | 19.1246 | − | 11.9988i | 1.39111 | − | 0.872786i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 8.73498 | 0.632041 | 0.316020 | − | 0.948752i | \(-0.397653\pi\) | ||||
0.316020 | + | 0.948752i | \(0.397653\pi\) | |||||||
\(192\) | −13.1056 | − | 4.49919i | −0.945817 | − | 0.324701i | ||||
\(193\) | 1.47689 | 0.106309 | 0.0531543 | − | 0.998586i | \(-0.483072\pi\) | ||||
0.0531543 | + | 0.998586i | \(0.483072\pi\) | |||||||
\(194\) | 3.01947 | + | 0.529235i | 0.216785 | + | 0.0379968i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −22.3410 | − | 8.07982i | −1.59579 | − | 0.577130i | ||||
\(197\) | 11.1438 | 0.793965 | 0.396982 | − | 0.917826i | \(-0.370057\pi\) | ||||
0.396982 | + | 0.917826i | \(0.370057\pi\) | |||||||
\(198\) | −7.38847 | − | 2.47769i | −0.525076 | − | 0.176082i | ||||
\(199\) | − | 2.80041i | − | 0.198516i | −0.995062 | − | 0.0992578i | \(-0.968353\pi\) | ||
0.995062 | − | 0.0992578i | \(-0.0316469\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 5.43014 | − | 4.67089i | 0.383012 | − | 0.329459i | ||||
\(202\) | 4.40608 | + | 0.772271i | 0.310011 | + | 0.0543368i | ||||
\(203\) | 34.6760i | 2.43378i | ||||||||
\(204\) | −6.62146 | − | 17.4142i | −0.463595 | − | 1.21924i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −3.07314 | + | 17.5334i | −0.214116 | + | 1.22161i | ||||
\(207\) | −1.08027 | + | 7.14536i | −0.0750839 | + | 0.496637i | ||||
\(208\) | −1.50479 | + | 1.80829i | −0.104339 | + | 0.125383i | ||||
\(209\) | − | 9.89618i | − | 0.684533i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 9.86464 | 0.679110 | 0.339555 | − | 0.940586i | \(-0.389724\pi\) | ||||
0.339555 | + | 0.940586i | \(0.389724\pi\) | |||||||
\(212\) | 12.5113 | + | 4.52481i | 0.859279 | + | 0.310766i | ||||
\(213\) | 16.0515 | − | 13.8071i | 1.09983 | − | 0.946048i | ||||
\(214\) | 0.925344 | − | 5.27941i | 0.0632552 | − | 0.360893i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −0.584647 | − | 14.6853i | −0.0397802 | − | 0.999208i | ||||
\(217\) | −30.7003 | −2.08407 | ||||||||
\(218\) | −0.143593 | + | 0.819251i | −0.00972537 | + | 0.0554867i | ||||
\(219\) | 5.80394 | − | 4.99243i | 0.392194 | − | 0.337357i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −3.16306 | −0.212771 | ||||||||
\(222\) | 3.40854 | + | 5.72698i | 0.228766 | + | 0.384370i | ||||
\(223\) | − | 1.62415i | − | 0.108761i | −0.998520 | − | 0.0543806i | \(-0.982682\pi\) | ||
0.998520 | − | 0.0543806i | \(-0.0173184\pi\) | |||||||
\(224\) | −18.7475 | + | 15.8949i | −1.25262 | + | 1.06202i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −2.70085 | + | 15.4093i | −0.179658 | + | 1.02501i | ||||
\(227\) | 4.94021i | 0.327893i | 0.986469 | + | 0.163947i | \(0.0524225\pi\) | ||||
−0.986469 | + | 0.163947i | \(0.947578\pi\) | |||||||
\(228\) | 17.4452 | − | 6.63324i | 1.15534 | − | 0.439297i | ||||
\(229\) | − | 15.2471i | − | 1.00756i | −0.863832 | − | 0.503779i | \(-0.831942\pi\) | ||
0.863832 | − | 0.503779i | \(-0.168058\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −10.4795 | + | 9.01428i | −0.689503 | + | 0.593096i | ||||
\(232\) | 19.5833 | + | 11.2266i | 1.28571 | + | 0.737060i | ||||
\(233\) | 22.3000i | 1.46092i | 0.682955 | + | 0.730460i | \(0.260694\pi\) | ||||
−0.682955 | + | 0.730460i | \(0.739306\pi\) | |||||||
\(234\) | −2.36574 | − | 0.793339i | −0.154653 | − | 0.0518622i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 7.31648 | − | 20.2303i | 0.476262 | − | 1.31688i | ||||
\(237\) | −14.2170 | − | 16.5279i | −0.923492 | − | 1.07360i | ||||
\(238\) | −32.5510 | − | 5.70535i | −2.10997 | − | 0.369823i | ||||
\(239\) | 14.8813 | 0.962589 | 0.481294 | − | 0.876559i | \(-0.340167\pi\) | ||||
0.481294 | + | 0.876559i | \(0.340167\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.523114 | −0.0336968 | −0.0168484 | − | 0.999858i | \(-0.505363\pi\) | ||||
−0.0168484 | + | 0.999858i | \(0.505363\pi\) | |||||||
\(242\) | −10.6231 | − | 1.86196i | −0.682881 | − | 0.119691i | ||||
\(243\) | 14.2948 | − | 6.21766i | 0.917010 | − | 0.398863i | ||||
\(244\) | −6.31091 | + | 17.4499i | −0.404015 | + | 1.11712i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −4.29069 | − | 7.20915i | −0.273564 | − | 0.459639i | ||||
\(247\) | − | 3.16869i | − | 0.201619i | ||||||
\(248\) | −9.93940 | + | 17.3380i | −0.631153 | + | 1.10097i | ||||
\(249\) | 13.0563 | + | 15.1786i | 0.827412 | + | 0.961906i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | − | 4.82378i | − | 0.304474i | −0.988344 | − | 0.152237i | \(-0.951352\pi\) | ||
0.988344 | − | 0.152237i | \(-0.0486477\pi\) | |||||||
\(252\) | −22.9148 | − | 12.4314i | −1.44350 | − | 0.783107i | ||||
\(253\) | − | 4.42456i | − | 0.278170i | ||||||
\(254\) | 3.16306 | − | 18.0464i | 0.198468 | − | 1.13233i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 2.90702 | + | 15.7337i | 0.181689 | + | 0.983356i | ||||
\(257\) | − | 22.8859i | − | 1.42758i | −0.700358 | − | 0.713792i | \(-0.746976\pi\) | ||
0.700358 | − | 0.713792i | \(-0.253024\pi\) | |||||||
\(258\) | −6.24673 | + | 3.71788i | −0.388905 | + | 0.231465i | ||||
\(259\) | 11.8217 | 0.734567 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −3.57904 | + | 23.6733i | −0.221537 | + | 1.46534i | ||||
\(262\) | 0.729282 | − | 4.16081i | 0.0450552 | − | 0.257056i | ||||
\(263\) | 13.5527 | 0.835694 | 0.417847 | − | 0.908517i | \(-0.362785\pi\) | ||||
0.417847 | + | 0.908517i | \(0.362785\pi\) | |||||||
\(264\) | 1.69801 | + | 8.83674i | 0.104505 | + | 0.543864i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 5.71551 | − | 32.6090i | 0.350440 | − | 1.99938i | ||||
\(267\) | −4.75771 | − | 5.53107i | −0.291167 | − | 0.338496i | ||||
\(268\) | −7.77769 | − | 2.81287i | −0.475098 | − | 0.171823i | ||||
\(269\) | −12.9783 | −0.791301 | −0.395651 | − | 0.918401i | \(-0.629481\pi\) | ||||
−0.395651 | + | 0.918401i | \(0.629481\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(272\) | −13.7607 | + | 16.5361i | −0.834363 | + | 1.00265i | ||||
\(273\) | −3.35548 | + | 2.88631i | −0.203083 | + | 0.174688i | ||||
\(274\) | −1.38391 | + | 7.89568i | −0.0836049 | + | 0.476995i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 7.79971 | − | 2.96571i | 0.469487 | − | 0.178515i | ||||
\(277\) | − | 16.7917i | − | 1.00891i | −0.863437 | − | 0.504457i | \(-0.831693\pi\) | ||
0.863437 | − | 0.504457i | \(-0.168307\pi\) | |||||||
\(278\) | 3.74816 | + | 0.656955i | 0.224799 | + | 0.0394015i | ||||
\(279\) | −20.9591 | − | 3.16869i | −1.25479 | − | 0.189705i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 11.0464i | 0.658972i | 0.944161 | + | 0.329486i | \(0.106875\pi\) | ||||
−0.944161 | + | 0.329486i | \(0.893125\pi\) | |||||||
\(282\) | −20.6600 | + | 12.2963i | −1.23029 | + | 0.732232i | ||||
\(283\) | 18.7047 | 1.11188 | 0.555940 | − | 0.831223i | \(-0.312359\pi\) | ||||
0.555940 | + | 0.831223i | \(0.312359\pi\) | |||||||
\(284\) | −22.9908 | − | 8.31483i | −1.36425 | − | 0.493394i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 1.50479 | + | 0.263751i | 0.0889802 | + | 0.0155959i | ||||
\(287\) | −14.8813 | −0.878413 | ||||||||
\(288\) | −14.4395 | + | 8.91640i | −0.850853 | + | 0.525404i | ||||
\(289\) | −11.9248 | −0.701460 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 2.84632 | − | 2.44834i | 0.166854 | − | 0.143524i | ||||
\(292\) | −8.31310 | − | 3.00650i | −0.486487 | − | 0.175942i | ||||
\(293\) | −29.4457 | −1.72024 | −0.860119 | − | 0.510093i | \(-0.829611\pi\) | ||||
−0.860119 | + | 0.510093i | \(0.829611\pi\) | |||||||
\(294\) | −25.0031 | + | 14.8812i | −1.45821 | + | 0.867888i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 3.82735 | − | 6.67633i | 0.222460 | − | 0.388054i | ||||
\(297\) | −8.08476 | + | 5.07240i | −0.469125 | + | 0.294331i | ||||
\(298\) | 29.1955 | + | 5.11722i | 1.69125 | + | 0.296433i | ||||
\(299\) | − | 1.41672i | − | 0.0819308i | ||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 12.8946i | 0.743233i | ||||||||
\(302\) | 0.773646 | − | 4.41392i | 0.0445183 | − | 0.253993i | ||||
\(303\) | 4.15341 | − | 3.57268i | 0.238607 | − | 0.205245i | ||||
\(304\) | −16.5655 | − | 13.7852i | −0.950096 | − | 0.790634i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −21.6337 | − | 7.25474i | −1.23671 | − | 0.414726i | ||||
\(307\) | −33.2095 | −1.89537 | −0.947683 | − | 0.319213i | \(-0.896581\pi\) | ||||
−0.947683 | + | 0.319213i | \(0.896581\pi\) | |||||||
\(308\) | 15.0101 | + | 5.42852i | 0.855277 | + | 0.309318i | ||||
\(309\) | 14.2170 | + | 16.5279i | 0.808775 | + | 0.940241i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 25.7768 | 1.46167 | 0.730834 | − | 0.682556i | \(-0.239132\pi\) | ||||
0.730834 | + | 0.682556i | \(0.239132\pi\) | |||||||
\(312\) | 0.543691 | + | 2.82947i | 0.0307804 | + | 0.160187i | ||||
\(313\) | 9.65410 | 0.545682 | 0.272841 | − | 0.962059i | \(-0.412037\pi\) | ||||
0.272841 | + | 0.962059i | \(0.412037\pi\) | |||||||
\(314\) | 2.92955 | − | 16.7141i | 0.165324 | − | 0.943232i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −8.56165 | + | 23.6733i | −0.481630 | + | 1.33173i | ||||
\(317\) | −4.81770 | −0.270589 | −0.135295 | − | 0.990805i | \(-0.543198\pi\) | ||||
−0.135295 | + | 0.990805i | \(0.543198\pi\) | |||||||
\(318\) | 14.0021 | − | 8.33367i | 0.785200 | − | 0.467329i | ||||
\(319\) | − | 14.6590i | − | 0.820747i | ||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −4.28082 | − | 4.97667i | −0.238932 | − | 0.277770i | ||||
\(322\) | 2.55539 | − | 14.5794i | 0.142406 | − | 0.812478i | ||||
\(323\) | − | 28.9763i | − | 1.61229i | ||||||
\(324\) | −14.3608 | − | 10.8520i | −0.797823 | − | 0.602891i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 18.3617 | + | 3.21832i | 1.01696 | + | 0.178247i | ||||
\(327\) | 0.664291 | + | 0.772271i | 0.0367354 | + | 0.0427067i | ||||
\(328\) | −4.81789 | + | 8.40420i | −0.266024 | + | 0.464044i | ||||
\(329\) | 42.6468i | 2.35119i | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −1.37380 | −0.0755110 | −0.0377555 | − | 0.999287i | \(-0.512021\pi\) | ||||
−0.0377555 | + | 0.999287i | \(0.512021\pi\) | |||||||
\(332\) | 7.86270 | − | 21.7407i | 0.431521 | − | 1.19317i | ||||
\(333\) | 8.07068 | + | 1.22016i | 0.442271 | + | 0.0668646i | ||||
\(334\) | 5.20617 | + | 0.912506i | 0.284869 | + | 0.0499301i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0.491482 | + | 30.0987i | 0.0268126 | + | 1.64202i | ||||
\(337\) | 13.0925 | 0.713192 | 0.356596 | − | 0.934259i | \(-0.383937\pi\) | ||||
0.356596 | + | 0.934259i | \(0.383937\pi\) | |||||||
\(338\) | −17.6269 | − | 3.08954i | −0.958777 | − | 0.168049i | ||||
\(339\) | 12.4947 | + | 14.5257i | 0.678618 | + | 0.788927i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 12.9783 | 0.702815 | ||||||||
\(342\) | 7.26766 | − | 21.6722i | 0.392990 | − | 1.17190i | ||||
\(343\) | 21.1972i | 1.14454i | ||||||||
\(344\) | 7.28224 | + | 4.17470i | 0.392632 | + | 0.225085i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −9.26635 | − | 1.62415i | −0.498162 | − | 0.0873149i | ||||
\(347\) | 3.97936i | 0.213623i | 0.994279 | + | 0.106812i | \(0.0340642\pi\) | ||||
−0.994279 | + | 0.106812i | \(0.965936\pi\) | |||||||
\(348\) | 25.8412 | − | 9.82568i | 1.38523 | − | 0.526712i | ||||
\(349\) | 12.5870i | 0.673764i | 0.941547 | + | 0.336882i | \(0.109372\pi\) | ||||
−0.941547 | + | 0.336882i | \(0.890628\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −2.58869 | + | 1.62415i | −0.138174 | + | 0.0866908i | ||||
\(352\) | 7.92534 | − | 6.71942i | 0.422422 | − | 0.358146i | ||||
\(353\) | − | 0.787269i | − | 0.0419021i | −0.999781 | − | 0.0209510i | \(-0.993331\pi\) | ||
0.999781 | − | 0.0209510i | \(-0.00666941\pi\) | |||||||
\(354\) | −13.4753 | − | 22.6410i | −0.716203 | − | 1.20335i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −2.86515 | + | 7.92226i | −0.151853 | + | 0.419879i | ||||
\(357\) | −30.6844 | + | 26.3941i | −1.62399 | + | 1.39692i | ||||
\(358\) | 4.49469 | − | 25.6438i | 0.237552 | − | 1.35531i | ||||
\(359\) | −1.08027 | −0.0570144 | −0.0285072 | − | 0.999594i | \(-0.509075\pi\) | ||||
−0.0285072 | + | 0.999594i | \(0.509075\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 10.0279 | 0.527785 | ||||||||
\(362\) | −4.76403 | + | 27.1805i | −0.250392 | + | 1.42857i | ||||
\(363\) | −10.0140 | + | 8.61379i | −0.525596 | + | 0.452107i | ||||
\(364\) | 4.80612 | + | 1.73818i | 0.251909 | + | 0.0911052i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 11.6233 | + | 19.5292i | 0.607558 | + | 1.02081i | ||||
\(367\) | − | 14.5794i | − | 0.761038i | −0.924773 | − | 0.380519i | \(-0.875745\pi\) | ||
0.924773 | − | 0.380519i | \(-0.124255\pi\) | |||||||
\(368\) | −7.40639 | − | 6.16332i | −0.386085 | − | 0.321285i | ||||
\(369\) | −10.1594 | − | 1.53595i | −0.528878 | − | 0.0799583i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | − | 28.9034i | − | 1.50059i | ||||||
\(372\) | 8.69914 | + | 22.8784i | 0.451029 | + | 1.18619i | ||||
\(373\) | − | 31.5719i | − | 1.63473i | −0.576118 | − | 0.817366i | \(-0.695433\pi\) | ||
0.576118 | − | 0.817366i | \(-0.304567\pi\) | |||||||
\(374\) | 13.7607 | + | 2.41189i | 0.711547 | + | 0.124716i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 24.0848 | + | 13.8071i | 1.24208 | + | 0.712048i | ||||
\(377\) | − | 4.69372i | − | 0.241739i | ||||||
\(378\) | −29.5697 | + | 12.0448i | −1.52090 | + | 0.619517i | ||||
\(379\) | 4.61224 | 0.236915 | 0.118458 | − | 0.992959i | \(-0.462205\pi\) | ||||
0.118458 | + | 0.992959i | \(0.462205\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −14.6330 | − | 17.0115i | −0.749669 | − | 0.871526i | ||||
\(382\) | −12.1676 | − | 2.13267i | −0.622550 | − | 0.109117i | ||||
\(383\) | 14.6330 | 0.747709 | 0.373854 | − | 0.927487i | \(-0.378036\pi\) | ||||
0.373854 | + | 0.927487i | \(0.378036\pi\) | |||||||
\(384\) | 17.1574 | + | 9.46705i | 0.875558 | + | 0.483113i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −2.05727 | − | 0.360586i | −0.104712 | − | 0.0183533i | ||||
\(387\) | −1.33090 | + | 8.80314i | −0.0676535 | + | 0.447489i | ||||
\(388\) | −4.07684 | − | 1.47442i | −0.206970 | − | 0.0748526i | ||||
\(389\) | 15.1388 | 0.767570 | 0.383785 | − | 0.923422i | \(-0.374620\pi\) | ||||
0.383785 | + | 0.923422i | \(0.374620\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 12.9552i | − | 0.655175i | ||||||
\(392\) | 29.1478 | + | 16.7096i | 1.47219 | + | 0.843964i | ||||
\(393\) | −3.37380 | − | 3.92221i | −0.170186 | − | 0.197849i | ||||
\(394\) | −15.5231 | − | 2.72080i | −0.782043 | − | 0.137072i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 9.68705 | + | 5.25528i | 0.486792 | + | 0.264088i | ||||
\(397\) | 18.3362i | 0.920268i | 0.887849 | + | 0.460134i | \(0.152199\pi\) | ||||
−0.887849 | + | 0.460134i | \(0.847801\pi\) | |||||||
\(398\) | −0.683728 | + | 3.90091i | −0.0342722 | + | 0.195535i | ||||
\(399\) | −26.4411 | − | 30.7390i | −1.32371 | − | 1.53888i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | − | 34.2381i | − | 1.70977i | −0.518820 | − | 0.854884i | \(-0.673628\pi\) | ||
0.518820 | − | 0.854884i | \(-0.326372\pi\) | |||||||
\(402\) | −8.70447 | + | 5.18066i | −0.434140 | + | 0.258388i | ||||
\(403\) | 4.15557 | 0.207004 | ||||||||
\(404\) | −5.94902 | − | 2.15151i | −0.295975 | − | 0.107042i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 8.46626 | − | 48.3030i | 0.420173 | − | 2.39724i | ||||
\(407\) | −4.99754 | −0.247719 | ||||||||
\(408\) | 4.97182 | + | 25.8742i | 0.246142 | + | 1.28097i | ||||
\(409\) | 18.6926 | 0.924291 | 0.462146 | − | 0.886804i | \(-0.347080\pi\) | ||||
0.462146 | + | 0.886804i | \(0.347080\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 6.40223 | + | 7.44290i | 0.315799 | + | 0.367131i | ||||
\(412\) | 8.56165 | − | 23.6733i | 0.421802 | − | 1.16630i | ||||
\(413\) | −46.7359 | −2.29972 | ||||||||
\(414\) | 3.24935 | − | 9.68958i | 0.159697 | − | 0.476217i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 2.53764 | − | 2.15151i | 0.124418 | − | 0.105487i | ||||
\(417\) | 3.53322 | − | 3.03920i | 0.173023 | − | 0.148830i | ||||
\(418\) | −2.41618 | + | 13.7852i | −0.118179 | + | 0.674255i | ||||
\(419\) | − | 5.24599i | − | 0.256283i | −0.991756 | − | 0.128142i | \(-0.959099\pi\) | ||
0.991756 | − | 0.128142i | \(-0.0409012\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 4.42456i | − | 0.215640i | −0.994170 | − | 0.107820i | \(-0.965613\pi\) | ||
0.994170 | − | 0.107820i | \(-0.0343870\pi\) | |||||||
\(422\) | −13.7412 | − | 2.40848i | −0.668913 | − | 0.117243i | ||||
\(423\) | −4.40173 | + | 29.1149i | −0.214019 | + | 1.41561i | ||||
\(424\) | −16.3232 | − | 9.35764i | −0.792725 | − | 0.454447i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −25.7304 | + | 15.3140i | −1.24664 | + | 0.741966i | ||||
\(427\) | 40.3126 | 1.95086 | ||||||||
\(428\) | −2.57797 | + | 7.12818i | −0.124611 | + | 0.344554i | ||||
\(429\) | 1.41850 | − | 1.22016i | 0.0684859 | − | 0.0589101i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 5.89797 | 0.284095 | 0.142048 | − | 0.989860i | \(-0.454631\pi\) | ||||
0.142048 | + | 0.989860i | \(0.454631\pi\) | |||||||
\(432\) | −2.77106 | + | 20.5991i | −0.133323 | + | 0.991073i | ||||
\(433\) | −32.2158 | −1.54819 | −0.774095 | − | 0.633069i | \(-0.781795\pi\) | ||||
−0.774095 | + | 0.633069i | \(0.781795\pi\) | |||||||
\(434\) | 42.7649 | + | 7.49558i | 2.05278 | + | 0.359799i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.400045 | − | 1.10614i | 0.0191587 | − | 0.0529745i | ||||
\(437\) | 12.9783 | 0.620837 | ||||||||
\(438\) | −9.30368 | + | 5.53729i | −0.444547 | + | 0.264582i | ||||
\(439\) | − | 2.27291i | − | 0.108480i | −0.998528 | − | 0.0542399i | \(-0.982726\pi\) | ||
0.998528 | − | 0.0542399i | \(-0.0172736\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −5.32705 | + | 35.2354i | −0.253669 | + | 1.67787i | ||||
\(442\) | 4.40608 | + | 0.772271i | 0.209576 | + | 0.0367332i | ||||
\(443\) | − | 4.59091i | − | 0.218121i | −0.994035 | − | 0.109060i | \(-0.965216\pi\) | ||
0.994035 | − | 0.109060i | \(-0.0347842\pi\) | |||||||
\(444\) | −3.34977 | − | 8.80977i | −0.158973 | − | 0.418093i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −0.396541 | + | 2.26241i | −0.0187768 | + | 0.107128i | ||||
\(447\) | 27.5213 | − | 23.6733i | 1.30171 | − | 1.11971i | ||||
\(448\) | 29.9956 | − | 17.5639i | 1.41716 | − | 0.829818i | ||||
\(449\) | − | 39.0461i | − | 1.84270i | −0.388736 | − | 0.921349i | \(-0.627088\pi\) | ||
0.388736 | − | 0.921349i | \(-0.372912\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 6.29093 | 0.296228 | ||||||||
\(452\) | 7.52446 | − | 20.8054i | 0.353921 | − | 0.978605i | ||||
\(453\) | −3.57904 | − | 4.16081i | −0.168158 | − | 0.195492i | ||||
\(454\) | 1.20617 | − | 6.88161i | 0.0566082 | − | 0.322970i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −25.9203 | + | 4.98067i | −1.21383 | + | 0.233241i | ||||
\(457\) | 4.96147 | 0.232088 | 0.116044 | − | 0.993244i | \(-0.462979\pi\) | ||||
0.116044 | + | 0.993244i | \(0.462979\pi\) | |||||||
\(458\) | −3.72263 | + | 21.2389i | −0.173947 | + | 0.992430i | ||||
\(459\) | −23.6724 | + | 14.8522i | −1.10493 | + | 0.693239i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −14.1271 | −0.657963 | −0.328981 | − | 0.944336i | \(-0.606705\pi\) | ||||
−0.328981 | + | 0.944336i | \(0.606705\pi\) | |||||||
\(462\) | 16.7986 | − | 9.99809i | 0.781543 | − | 0.465153i | ||||
\(463\) | 14.2907i | 0.664146i | 0.943254 | + | 0.332073i | \(0.107748\pi\) | ||||
−0.943254 | + | 0.332073i | \(0.892252\pi\) | |||||||
\(464\) | −24.5381 | − | 20.4197i | −1.13915 | − | 0.947960i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 5.44461 | − | 31.0634i | 0.252217 | − | 1.43898i | ||||
\(467\) | − | 31.8469i | − | 1.47370i | −0.676058 | − | 0.736849i | \(-0.736313\pi\) | ||
0.676058 | − | 0.736849i | \(-0.263687\pi\) | |||||||
\(468\) | 3.10173 | + | 1.68271i | 0.143377 | + | 0.0777832i | ||||
\(469\) | 17.9679i | 0.829682i | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −13.5527 | − | 15.7557i | −0.624475 | − | 0.725982i | ||||
\(472\) | −15.1310 | + | 26.3941i | −0.696460 | + | 1.21489i | ||||
\(473\) | − | 5.45109i | − | 0.250641i | ||||||
\(474\) | 15.7686 | + | 26.4942i | 0.724276 | + | 1.21692i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 43.9499 | + | 15.8949i | 2.01444 | + | 0.728540i | ||||
\(477\) | 2.98323 | − | 19.7323i | 0.136593 | − | 0.903481i | ||||
\(478\) | −20.7293 | − | 3.63331i | −0.948135 | − | 0.166184i | ||||
\(479\) | 25.9566 | 1.18599 | 0.592994 | − | 0.805207i | \(-0.297946\pi\) | ||||
0.592994 | + | 0.805207i | \(0.297946\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.60018 | −0.0729619 | ||||||||
\(482\) | 0.728687 | + | 0.127720i | 0.0331908 | + | 0.00581748i | ||||
\(483\) | −11.8217 | − | 13.7433i | −0.537908 | − | 0.625344i | ||||
\(484\) | 14.3432 | + | 5.18734i | 0.651963 | + | 0.235788i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −21.4304 | + | 5.17096i | −0.972102 | + | 0.234560i | ||||
\(487\) | 24.4456i | 1.10773i | 0.832605 | + | 0.553867i | \(0.186848\pi\) | ||||
−0.832605 | + | 0.553867i | \(0.813152\pi\) | |||||||
\(488\) | 13.0514 | − | 22.7665i | 0.590810 | − | 1.03059i | ||||
\(489\) | 17.3087 | − | 14.8886i | 0.782728 | − | 0.673286i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 37.6630i | 1.69971i | 0.527018 | + | 0.849854i | \(0.323310\pi\) | ||||
−0.527018 | + | 0.849854i | \(0.676690\pi\) | |||||||
\(492\) | 4.21670 | + | 11.0898i | 0.190104 | + | 0.499966i | ||||
\(493\) | − | 42.9220i | − | 1.93311i | ||||||
\(494\) | −0.773646 | + | 4.41392i | −0.0348080 | + | 0.198592i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 18.0785 | − | 21.7248i | 0.811749 | − | 0.975470i | ||||
\(497\) | 53.1131i | 2.38245i | ||||||||
\(498\) | −14.4813 | − | 24.3312i | −0.648922 | − | 1.09031i | ||||
\(499\) | −36.7249 | −1.64403 | −0.822016 | − | 0.569464i | \(-0.807151\pi\) | ||||
−0.822016 | + | 0.569464i | \(0.807151\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 4.90762 | − | 4.22143i | 0.219256 | − | 0.188600i | ||||
\(502\) | −1.17774 | + | 6.71942i | −0.0525651 | + | 0.299902i | ||||
\(503\) | 29.5142 | 1.31597 | 0.657987 | − | 0.753029i | \(-0.271408\pi\) | ||||
0.657987 | + | 0.753029i | \(0.271408\pi\) | |||||||
\(504\) | 28.8847 | + | 22.9114i | 1.28663 | + | 1.02056i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −1.08027 | + | 6.16332i | −0.0480238 | + | 0.273993i | ||||
\(507\) | −16.6161 | + | 14.2928i | −0.737947 | + | 0.634766i | ||||
\(508\) | −8.81215 | + | 24.3659i | −0.390976 | + | 1.08106i | ||||
\(509\) | 2.16054 | 0.0957642 | 0.0478821 | − | 0.998853i | \(-0.484753\pi\) | ||||
0.0478821 | + | 0.998853i | \(0.484753\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 19.2048i | 0.849571i | ||||||||
\(512\) | −0.207989 | − | 22.6265i | −0.00919190 | − | 0.999958i | ||||
\(513\) | −14.8786 | − | 23.7146i | −0.656906 | − | 1.04702i | ||||
\(514\) | −5.58767 | + | 31.8796i | −0.246461 | + | 1.40615i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 9.60930 | − | 3.65377i | 0.423026 | − | 0.160848i | ||||
\(517\) | − | 18.0286i | − | 0.792895i | ||||||
\(518\) | −16.4674 | − | 2.88631i | −0.723537 | − | 0.126817i | ||||
\(519\) | −8.73498 | + | 7.51364i | −0.383423 | + | 0.329812i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 9.39893i | 0.411775i | 0.978576 | + | 0.205887i | \(0.0660080\pi\) | ||||
−0.978576 | + | 0.205887i | \(0.933992\pi\) | |||||||
\(522\) | 10.7654 | − | 32.1025i | 0.471190 | − | 1.40509i | ||||
\(523\) | −9.68638 | −0.423556 | −0.211778 | − | 0.977318i | \(-0.567925\pi\) | ||||
−0.211778 | + | 0.977318i | \(0.567925\pi\) | |||||||
\(524\) | −2.03175 | + | 5.61786i | −0.0887573 | + | 0.245417i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −18.8786 | − | 3.30893i | −0.823146 | − | 0.144276i | ||||
\(527\) | 38.0009 | 1.65534 | ||||||||
\(528\) | −0.207770 | − | 12.7240i | −0.00904203 | − | 0.553740i | ||||
\(529\) | −17.1974 | −0.747714 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −31.9065 | − | 4.82378i | −1.38462 | − | 0.209334i | ||||
\(532\) | −15.9232 | + | 44.0281i | −0.690357 | + | 1.90886i | ||||
\(533\) | 2.01431 | 0.0872497 | ||||||||
\(534\) | 5.27696 | + | 8.86627i | 0.228356 | + | 0.383681i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 10.1474 | + | 5.81722i | 0.438301 | + | 0.251265i | ||||
\(537\) | −20.7933 | − | 24.1732i | −0.897298 | − | 1.04315i | ||||
\(538\) | 18.0785 | + | 3.16869i | 0.779420 | + | 0.136612i | ||||
\(539\) | − | 21.8185i | − | 0.939789i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 13.1751i | 0.566441i | 0.959055 | + | 0.283221i | \(0.0914029\pi\) | ||||
−0.959055 | + | 0.283221i | \(0.908597\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 22.0393 | + | 25.6218i | 0.945799 | + | 1.09954i | ||||
\(544\) | 23.2056 | − | 19.6747i | 0.994934 | − | 0.843544i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 5.37881 | − | 3.20132i | 0.230192 | − | 0.137004i | ||||
\(547\) | 28.4113 | 1.21478 | 0.607390 | − | 0.794404i | \(-0.292217\pi\) | ||||
0.607390 | + | 0.794404i | \(0.292217\pi\) | |||||||
\(548\) | 3.85551 | − | 10.6606i | 0.164699 | − | 0.455399i | ||||
\(549\) | 27.5213 | + | 4.16081i | 1.17458 | + | 0.177579i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 42.9984 | 1.83179 | ||||||||
\(552\) | −11.5889 | + | 2.22684i | −0.493257 | + | 0.0947808i | ||||
\(553\) | 54.6897 | 2.32564 | ||||||||
\(554\) | −4.09974 | + | 23.3904i | −0.174181 | + | 0.993765i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −5.06070 | − | 1.83025i | −0.214622 | − | 0.0776198i | ||||
\(557\) | 32.1029 | 1.36024 | 0.680122 | − | 0.733099i | \(-0.261927\pi\) | ||||
0.680122 | + | 0.733099i | \(0.261927\pi\) | |||||||
\(558\) | 28.4219 | + | 9.53114i | 1.20319 | + | 0.403485i | ||||
\(559\) | − | 1.74540i | − | 0.0738227i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 12.9716 | − | 11.1579i | 0.547660 | − | 0.471086i | ||||
\(562\) | 2.69701 | − | 15.3874i | 0.113766 | − | 0.649077i | ||||
\(563\) | 14.2406i | 0.600170i | 0.953913 | + | 0.300085i | \(0.0970150\pi\) | ||||
−0.953913 | + | 0.300085i | \(0.902985\pi\) | |||||||
\(564\) | 31.7811 | − | 12.0842i | 1.33823 | − | 0.508838i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −26.0552 | − | 4.56681i | −1.09518 | − | 0.191957i | ||||
\(567\) | −11.5598 | + | 37.3569i | −0.485466 | + | 1.56884i | ||||
\(568\) | 29.9956 | + | 17.1957i | 1.25859 | + | 0.721514i | ||||
\(569\) | − | 9.08328i | − | 0.380791i | −0.981707 | − | 0.190396i | \(-0.939023\pi\) | ||
0.981707 | − | 0.190396i | \(-0.0609770\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −15.7432 | −0.658834 | −0.329417 | − | 0.944185i | \(-0.606852\pi\) | ||||
−0.329417 | + | 0.944185i | \(0.606852\pi\) | |||||||
\(572\) | −2.03175 | − | 0.734799i | −0.0849516 | − | 0.0307235i | ||||
\(573\) | −11.4699 | + | 9.86616i | −0.479161 | + | 0.412165i | ||||
\(574\) | 20.7293 | + | 3.63331i | 0.865224 | + | 0.151651i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 22.2908 | − | 8.89492i | 0.928784 | − | 0.370622i | ||||
\(577\) | 33.1974 | 1.38203 | 0.691014 | − | 0.722842i | \(-0.257164\pi\) | ||||
0.691014 | + | 0.722842i | \(0.257164\pi\) | |||||||
\(578\) | 16.6110 | + | 2.91148i | 0.690927 | + | 0.121102i | ||||
\(579\) | −1.93930 | + | 1.66814i | −0.0805944 | + | 0.0693256i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −50.2250 | −2.08368 | ||||||||
\(582\) | −4.56263 | + | 2.71555i | −0.189127 | + | 0.112563i | ||||
\(583\) | 12.2187i | 0.506046i | ||||||||
\(584\) | 10.8459 | + | 6.21766i | 0.448807 | + | 0.257289i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 41.0173 | + | 7.18927i | 1.69441 | + | 0.296986i | ||||
\(587\) | 0.613686i | 0.0253295i | 0.999920 | + | 0.0126648i | \(0.00403143\pi\) | ||||
−0.999920 | + | 0.0126648i | \(0.995969\pi\) | |||||||
\(588\) | 38.4621 | − | 14.6246i | 1.58615 | − | 0.603107i | ||||
\(589\) | 38.0685i | 1.56859i | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −14.6330 | + | 12.5870i | −0.601919 | + | 0.517758i | ||||
\(592\) | −6.96147 | + | 8.36552i | −0.286115 | + | 0.343821i | ||||
\(593\) | 15.5545i | 0.638747i | 0.947629 | + | 0.319374i | \(0.103472\pi\) | ||||
−0.947629 | + | 0.319374i | \(0.896528\pi\) | |||||||
\(594\) | 12.5003 | − | 5.09183i | 0.512895 | − | 0.208920i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −39.4194 | − | 14.2564i | −1.61468 | − | 0.583963i | ||||
\(597\) | 3.16306 | + | 3.67721i | 0.129456 | + | 0.150498i | ||||
\(598\) | −0.345895 | + | 1.97345i | −0.0141447 | + | 0.0807005i | ||||
\(599\) | −39.0811 | −1.59681 | −0.798406 | − | 0.602119i | \(-0.794323\pi\) | ||||
−0.798406 | + | 0.602119i | \(0.794323\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −20.5231 | −0.837155 | −0.418578 | − | 0.908181i | \(-0.637471\pi\) | ||||
−0.418578 | + | 0.908181i | \(0.637471\pi\) | |||||||
\(602\) | 3.14826 | − | 17.9619i | 0.128313 | − | 0.732073i | ||||
\(603\) | −1.85454 | + | 12.2667i | −0.0755225 | + | 0.499538i | ||||
\(604\) | −2.15534 | + | 5.95961i | −0.0876997 | + | 0.242493i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −6.65790 | + | 3.96260i | −0.270459 | + | 0.160970i | ||||
\(607\) | − | 10.8832i | − | 0.441735i | −0.975304 | − | 0.220868i | \(-0.929111\pi\) | ||
0.975304 | − | 0.220868i | \(-0.0708889\pi\) | |||||||
\(608\) | 19.7097 | + | 23.2470i | 0.799333 | + | 0.942789i | ||||
\(609\) | −39.1666 | − | 45.5331i | −1.58711 | − | 1.84509i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | − | 5.77263i | − | 0.233535i | ||||||
\(612\) | 28.3640 | + | 15.3876i | 1.14655 | + | 0.622008i | ||||
\(613\) | 30.3350i | 1.22522i | 0.790385 | + | 0.612610i | \(0.209881\pi\) | ||||
−0.790385 | + | 0.612610i | \(0.790119\pi\) | |||||||
\(614\) | 46.2601 | + | 8.10820i | 1.86691 | + | 0.327220i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −19.5833 | − | 11.2266i | −0.789033 | − | 0.452331i | ||||
\(617\) | − | 8.71447i | − | 0.350831i | −0.984494 | − | 0.175416i | \(-0.943873\pi\) | ||
0.984494 | − | 0.175416i | \(-0.0561269\pi\) | |||||||
\(618\) | −15.7686 | − | 26.4942i | −0.634306 | − | 1.06575i | ||||
\(619\) | 13.0323 | 0.523811 | 0.261906 | − | 0.965093i | \(-0.415649\pi\) | ||||
0.261906 | + | 0.965093i | \(0.415649\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −6.65218 | − | 10.6027i | −0.266943 | − | 0.425473i | ||||
\(622\) | −35.9065 | − | 6.29348i | −1.43972 | − | 0.252346i | ||||
\(623\) | 18.3019 | 0.733250 | ||||||||
\(624\) | −0.0665266 | − | 4.07413i | −0.00266320 | − | 0.163096i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −13.4480 | − | 2.35708i | −0.537489 | − | 0.0942078i | ||||
\(627\) | 11.1777 | + | 12.9947i | 0.446396 | + | 0.518957i | ||||
\(628\) | −8.16160 | + | 22.5671i | −0.325683 | + | 0.900527i | ||||
\(629\) | −14.6330 | −0.583454 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 14.8599i | 0.591562i | 0.955256 | + | 0.295781i | \(0.0955798\pi\) | ||||
−0.955256 | + | 0.295781i | \(0.904420\pi\) | |||||||
\(632\) | 17.7061 | − | 30.8860i | 0.704311 | − | 1.22858i | ||||
\(633\) | −12.9533 | + | 11.1421i | −0.514845 | + | 0.442859i | ||||
\(634\) | 6.71096 | + | 1.17626i | 0.266526 | + | 0.0467151i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −21.5393 | + | 8.18997i | −0.854090 | + | 0.324753i | ||||
\(637\) | − | 6.98614i | − | 0.276801i | ||||||
\(638\) | −3.57904 | + | 20.4197i | −0.141696 | + | 0.808423i | ||||
\(639\) | −5.48200 | + | 36.2602i | −0.216864 | + | 1.43443i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | − | 5.97397i | − | 0.235958i | −0.993016 | − | 0.117979i | \(-0.962358\pi\) | ||
0.993016 | − | 0.117979i | \(-0.0376415\pi\) | |||||||
\(642\) | 4.74803 | + | 7.97756i | 0.187390 | + | 0.314849i | ||||
\(643\) | 15.7938 | 0.622848 | 0.311424 | − | 0.950271i | \(-0.399194\pi\) | ||||
0.311424 | + | 0.950271i | \(0.399194\pi\) | |||||||
\(644\) | −7.11921 | + | 19.6849i | −0.280536 | + | 0.775693i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −7.07466 | + | 40.3634i | −0.278349 | + | 1.58808i | ||||
\(647\) | −14.8128 | −0.582351 | −0.291175 | − | 0.956670i | \(-0.594046\pi\) | ||||
−0.291175 | + | 0.956670i | \(0.594046\pi\) | |||||||
\(648\) | 17.3548 | + | 18.6229i | 0.681759 | + | 0.731577i | ||||
\(649\) | 19.7572 | 0.775537 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 40.3126 | − | 34.6760i | 1.57997 | − | 1.35906i | ||||
\(652\) | −24.7916 | − | 8.96611i | −0.970916 | − | 0.351140i | ||||
\(653\) | −3.48912 | −0.136540 | −0.0682699 | − | 0.997667i | \(-0.521748\pi\) | ||||
−0.0682699 | + | 0.997667i | \(0.521748\pi\) | |||||||
\(654\) | −0.736791 | − | 1.23795i | −0.0288108 | − | 0.0484075i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 8.76313 | − | 10.5306i | 0.342143 | − | 0.411149i | ||||
\(657\) | −1.98220 | + | 13.1111i | −0.0773329 | + | 0.511513i | ||||
\(658\) | 10.4123 | − | 59.4060i | 0.405915 | − | 2.31589i | ||||
\(659\) | − | 36.5563i | − | 1.42403i | −0.702163 | − | 0.712017i | \(-0.747782\pi\) | ||
0.702163 | − | 0.712017i | \(-0.252218\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − | 42.9220i | − | 1.66947i | −0.550650 | − | 0.834736i | \(-0.685620\pi\) | ||
0.550650 | − | 0.834736i | \(-0.314380\pi\) | |||||||
\(662\) | 1.91368 | + | 0.335418i | 0.0743772 | + | 0.0130364i | ||||
\(663\) | 4.15341 | − | 3.57268i | 0.161305 | − | 0.138751i | ||||
\(664\) | −16.2606 | + | 28.3646i | −0.631034 | + | 1.10076i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −10.9444 | − | 3.67015i | −0.424086 | − | 0.142215i | ||||
\(667\) | 19.2245 | 0.744375 | ||||||||
\(668\) | −7.02929 | − | 2.54220i | −0.271971 | − | 0.0983608i | ||||
\(669\) | 1.83448 | + | 2.13267i | 0.0709251 | + | 0.0824538i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −17.0418 | −0.657892 | ||||||||
\(672\) | 6.66406 | − | 42.0468i | 0.257072 | − | 1.62199i | ||||
\(673\) | −46.2899 | −1.78434 | −0.892172 | − | 0.451696i | \(-0.850819\pi\) | ||||
−0.892172 | + | 0.451696i | \(0.850819\pi\) | |||||||
\(674\) | −18.2375 | − | 3.19656i | −0.702483 | − | 0.123127i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 23.7996 | + | 8.60732i | 0.915368 | + | 0.331051i | ||||
\(677\) | −27.7911 | −1.06810 | −0.534049 | − | 0.845453i | \(-0.679330\pi\) | ||||
−0.534049 | + | 0.845453i | \(0.679330\pi\) | |||||||
\(678\) | −13.8583 | − | 23.2846i | −0.532226 | − | 0.894239i | ||||
\(679\) | 9.41826i | 0.361440i | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −5.57997 | − | 6.48699i | −0.213825 | − | 0.248582i | ||||
\(682\) | −18.0785 | − | 3.16869i | −0.692262 | − | 0.121336i | ||||
\(683\) | − | 33.6521i | − | 1.28766i | −0.765167 | − | 0.643832i | \(-0.777344\pi\) | ||
0.765167 | − | 0.643832i | \(-0.222656\pi\) | |||||||
\(684\) | −15.4150 | + | 28.4145i | −0.589408 | + | 1.08645i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 5.17537 | − | 29.5273i | 0.197597 | − | 1.12736i | ||||
\(687\) | 17.2216 | + | 20.0210i | 0.657047 | + | 0.763849i | ||||
\(688\) | −9.12473 | − | 7.59325i | −0.347877 | − | 0.289490i | ||||
\(689\) | 3.91234i | 0.149048i | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −22.6820 | −0.862864 | −0.431432 | − | 0.902145i | \(-0.641992\pi\) | ||||
−0.431432 | + | 0.902145i | \(0.641992\pi\) | |||||||
\(692\) | 12.5113 | + | 4.52481i | 0.475608 | + | 0.172008i | ||||
\(693\) | 3.57904 | − | 23.6733i | 0.135956 | − | 0.899274i | ||||
\(694\) | 0.971573 | − | 5.54316i | 0.0368804 | − | 0.210416i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −38.3952 | + | 7.37776i | −1.45537 | + | 0.279653i | ||||
\(697\) | 18.4200 | 0.697708 | ||||||||
\(698\) | 3.07314 | − | 17.5334i | 0.116320 | − | 0.663648i | ||||
\(699\) | −25.1878 | − | 29.2821i | −0.952692 | − | 1.10755i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 10.6379 | 0.401789 | 0.200895 | − | 0.979613i | \(-0.435615\pi\) | ||||
0.200895 | + | 0.979613i | \(0.435615\pi\) | |||||||
\(702\) | 4.00253 | − | 1.63037i | 0.151066 | − | 0.0615344i | ||||
\(703\) | − | 14.6590i | − | 0.552875i | ||||||
\(704\) | −12.6804 | + | 7.42501i | −0.477911 | + | 0.279841i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −0.192214 | + | 1.09665i | −0.00723407 | + | 0.0412729i | ||||
\(707\) | 13.7433i | 0.516872i | ||||||||
\(708\) | 13.2429 | + | 34.8284i | 0.497699 | + | 1.30893i | ||||
\(709\) | − | 20.5295i | − | 0.771002i | −0.922707 | − | 0.385501i | \(-0.874029\pi\) | ||
0.922707 | − | 0.385501i | \(-0.125971\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 37.3366 | + | 5.64472i | 1.40023 | + | 0.211694i | ||||
\(712\) | 5.92534 | − | 10.3360i | 0.222062 | − | 0.387358i | ||||
\(713\) | 17.0203i | 0.637417i | ||||||||
\(714\) | 49.1869 | − | 29.2747i | 1.84077 | − | 1.09558i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −12.5220 | + | 34.6238i | −0.467969 | + | 1.29395i | ||||
\(717\) | −19.5406 | + | 16.8084i | −0.729756 | + | 0.627721i | ||||
\(718\) | 1.50479 | + | 0.263751i | 0.0561583 | + | 0.00984310i | ||||
\(719\) | −14.8813 | −0.554977 | −0.277489 | − | 0.960729i | \(-0.589502\pi\) | ||||
−0.277489 | + | 0.960729i | \(0.589502\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −54.6897 | −2.03675 | ||||||||
\(722\) | −13.9687 | − | 2.44834i | −0.519860 | − | 0.0911179i | ||||
\(723\) | 0.686901 | − | 0.590858i | 0.0255461 | − | 0.0219742i | ||||
\(724\) | 13.2724 | − | 36.6986i | 0.493264 | − | 1.36389i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 16.0523 | − | 9.55389i | 0.595757 | − | 0.354578i | ||||
\(727\) | 16.1239i | 0.598004i | 0.954253 | + | 0.299002i | \(0.0966537\pi\) | ||||
−0.954253 | + | 0.299002i | \(0.903346\pi\) | |||||||
\(728\) | −6.27044 | − | 3.59467i | −0.232398 | − | 0.133227i | ||||
\(729\) | −11.7476 | + | 24.3104i | −0.435096 | + | 0.900384i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | − | 15.9610i | − | 0.590337i | ||||||
\(732\) | −11.4228 | − | 30.0417i | −0.422200 | − | 1.11037i | ||||
\(733\) | 16.7310i | 0.617975i | 0.951066 | + | 0.308988i | \(0.0999902\pi\) | ||||
−0.951066 | + | 0.308988i | \(0.900010\pi\) | |||||||
\(734\) | −3.55960 | + | 20.3088i | −0.131387 | + | 0.749611i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 8.81215 | + | 10.3937i | 0.324820 | + | 0.383115i | ||||
\(737\) | − | 7.59579i | − | 0.279795i | ||||||
\(738\) | 13.7768 | + | 4.62000i | 0.507133 | + | 0.170064i | ||||
\(739\) | 12.5693 | 0.462371 | 0.231185 | − | 0.972910i | \(-0.425740\pi\) | ||||
0.231185 | + | 0.972910i | \(0.425740\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 3.57904 | + | 4.16081i | 0.131479 | + | 0.152851i | ||||
\(742\) | −7.05685 | + | 40.2618i | −0.259065 | + | 1.47806i | ||||
\(743\) | −22.2877 | −0.817655 | −0.408827 | − | 0.912612i | \(-0.634062\pi\) | ||||
−0.408827 | + | 0.912612i | \(0.634062\pi\) | |||||||
\(744\) | −6.53188 | − | 33.9931i | −0.239470 | − | 1.24625i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −7.70838 | + | 43.9790i | −0.282224 | + | 1.61019i | ||||
\(747\) | −34.2885 | − | 5.18390i | −1.25455 | − | 0.189669i | ||||
\(748\) | −18.5794 | − | 6.71942i | −0.679332 | − | 0.245686i | ||||
\(749\) | 16.4674 | 0.601707 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 35.1279i | 1.28183i | 0.767610 | + | 0.640917i | \(0.221446\pi\) | ||||
−0.767610 | + | 0.640917i | \(0.778554\pi\) | |||||||
\(752\) | −30.1785 | − | 25.1134i | −1.10050 | − | 0.915791i | ||||
\(753\) | 5.44846 | + | 6.33410i | 0.198553 | + | 0.230827i | ||||
\(754\) | −1.14599 | + | 6.53825i | −0.0417343 | + | 0.238109i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 44.1307 | − | 9.55859i | 1.60502 | − | 0.347643i | ||||
\(757\) | − | 20.6887i | − | 0.751945i | −0.926631 | − | 0.375972i | \(-0.877309\pi\) | ||
0.926631 | − | 0.375972i | \(-0.122691\pi\) | |||||||
\(758\) | −6.42476 | − | 1.12609i | −0.233358 | − | 0.0409016i | ||||
\(759\) | 4.99754 | + | 5.80988i | 0.181399 | + | 0.210885i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 22.8130i | 0.826971i | 0.910511 | + | 0.413485i | \(0.135689\pi\) | ||||
−0.910511 | + | 0.413485i | \(0.864311\pi\) | |||||||
\(762\) | 16.2300 | + | 27.2694i | 0.587950 | + | 0.987865i | ||||
\(763\) | −2.55539 | −0.0925113 | ||||||||
\(764\) | 16.4286 | + | 5.94153i | 0.594364 | + | 0.214957i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −20.3834 | − | 3.57268i | −0.736482 | − | 0.129086i | ||||
\(767\) | 6.32612 | 0.228423 | ||||||||
\(768\) | −21.5884 | − | 17.3764i | −0.779005 | − | 0.627018i | ||||
\(769\) | −46.3082 | −1.66992 | −0.834958 | − | 0.550313i | \(-0.814508\pi\) | ||||
−0.834958 | + | 0.550313i | \(0.814508\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 25.8496 | + | 30.0515i | 0.930952 | + | 1.08228i | ||||
\(772\) | 2.77769 | + | 1.00458i | 0.0999714 | + | 0.0361555i | ||||
\(773\) | −30.2684 | −1.08868 | −0.544340 | − | 0.838865i | \(-0.683220\pi\) | ||||
−0.544340 | + | 0.838865i | \(0.683220\pi\) | |||||||
\(774\) | 4.00323 | − | 11.9376i | 0.143893 | − | 0.429089i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 5.31897 | + | 3.04922i | 0.190940 | + | 0.109460i | ||||
\(777\) | −15.5231 | + | 13.3527i | −0.556889 | + | 0.479024i | ||||
\(778\) | −21.0881 | − | 3.69620i | −0.756045 | − | 0.132515i | ||||
\(779\) | 18.4528i | 0.661141i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | − | 22.4531i | − | 0.803436i | ||||||
\(782\) | −3.16306 | + | 18.0464i | −0.113111 | + | 0.645337i | ||||
\(783\) | −22.0393 | − | 35.1279i | −0.787622 | − | 1.25537i | ||||
\(784\) | −36.5226 | − | 30.3927i | −1.30438 | − | 1.08545i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 3.74201 | + | 6.28728i | 0.133473 | + | 0.224260i | ||||
\(787\) | −19.4080 | −0.691819 | −0.345910 | − | 0.938268i | \(-0.612430\pi\) | ||||
−0.345910 | + | 0.938268i | \(0.612430\pi\) | |||||||
\(788\) | 20.9591 | + | 7.58003i | 0.746636 | + | 0.270027i | ||||
\(789\) | −17.7960 | + | 15.3078i | −0.633555 | + | 0.544971i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −48.0644 | −1.70897 | ||||||||
\(792\) | −12.2108 | − | 9.68562i | −0.433890 | − | 0.344163i | ||||
\(793\) | −5.45667 | −0.193772 | ||||||||
\(794\) | 4.47684 | − | 25.5420i | 0.158877 | − | 0.906450i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 1.90484 | − | 5.26695i | 0.0675152 | − | 0.186682i | ||||
\(797\) | −30.7743 | −1.09008 | −0.545041 | − | 0.838409i | \(-0.683486\pi\) | ||||
−0.545041 | + | 0.838409i | \(0.683486\pi\) | |||||||
\(798\) | 29.3268 | + | 49.2745i | 1.03816 | + | 1.74430i | ||||
\(799\) | − | 52.7882i | − | 1.86751i | ||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 12.4947 | + | 1.88901i | 0.441478 | + | 0.0667448i | ||||
\(802\) | −8.35933 | + | 47.6929i | −0.295178 | + | 1.68409i | ||||
\(803\) | − | 8.11867i | − | 0.286502i | ||||||
\(804\) | 13.3900 | − | 5.09133i | 0.472230 | − | 0.179557i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −5.78862 | − | 1.01460i | −0.203895 | − | 0.0357376i | ||||
\(807\) | 17.0418 | − | 14.6590i | 0.599900 | − | 0.516021i | ||||
\(808\) | 7.76156 | + | 4.44948i | 0.273051 | + | 0.156532i | ||||
\(809\) | 37.5744i | 1.32104i | 0.750807 | + | 0.660522i | \(0.229665\pi\) | ||||
−0.750807 | + | 0.660522i | \(0.770335\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −30.3492 | −1.06571 | −0.532853 | − | 0.846208i | \(-0.678880\pi\) | ||||
−0.532853 | + | 0.846208i | \(0.678880\pi\) | |||||||
\(812\) | −23.5866 | + | 65.2179i | −0.827729 | + | 2.28870i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 6.96147 | + | 1.22016i | 0.243999 | + | 0.0427668i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −0.608357 | − | 37.2562i | −0.0212968 | − | 1.30423i | ||||
\(817\) | 15.9894 | 0.559397 | ||||||||
\(818\) | −26.0384 | − | 4.56386i | −0.910413 | − | 0.159572i | ||||
\(819\) | 1.14599 | − | 7.58003i | 0.0400440 | − | 0.264868i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 6.97824 | 0.243542 | 0.121771 | − | 0.992558i | \(-0.461143\pi\) | ||||
0.121771 | + | 0.992558i | \(0.461143\pi\) | |||||||
\(822\) | −7.10096 | − | 11.9309i | −0.247674 | − | 0.416139i | ||||
\(823\) | − | 0.569147i | − | 0.0198392i | −0.999951 | − | 0.00991960i | \(-0.996842\pi\) | ||
0.999951 | − | 0.00991960i | \(-0.00315756\pi\) | |||||||
\(824\) | −17.7061 | + | 30.8860i | −0.616821 | + | 1.07597i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 65.1020 | + | 11.4107i | 2.26519 | + | 0.397029i | ||||
\(827\) | 23.0851i | 0.802748i | 0.915914 | + | 0.401374i | \(0.131467\pi\) | ||||
−0.915914 | + | 0.401374i | \(0.868533\pi\) | |||||||
\(828\) | −6.89202 | + | 12.7040i | −0.239514 | + | 0.441496i | ||||
\(829\) | − | 48.3636i | − | 1.67974i | −0.542790 | − | 0.839869i | \(-0.682632\pi\) | ||
0.542790 | − | 0.839869i | \(-0.317368\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 18.9662 | + | 22.0491i | 0.657930 | + | 0.764876i | ||||
\(832\) | −4.06018 | + | 2.37744i | −0.140761 | + | 0.0824229i | ||||
\(833\) | − | 63.8852i | − | 2.21349i | ||||||
\(834\) | −5.66373 | + | 3.37090i | −0.196119 | + | 0.116725i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 6.73138 | − | 18.6125i | 0.232810 | − | 0.643728i | ||||
\(837\) | 31.1004 | − | 19.5125i | 1.07499 | − | 0.674450i | ||||
\(838\) | −1.28082 | + | 7.30755i | −0.0442453 | + | 0.252435i | ||||
\(839\) | 22.0393 | 0.760883 | 0.380441 | − | 0.924805i | \(-0.375772\pi\) | ||||
0.380441 | + | 0.924805i | \(0.375772\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 34.6926 | 1.19630 | ||||||||
\(842\) | −1.08027 | + | 6.16332i | −0.0372285 | + | 0.212402i | ||||
\(843\) | −12.4769 | − | 14.5050i | −0.429727 | − | 0.499578i | ||||
\(844\) | 18.5532 | + | 6.70993i | 0.638628 | + | 0.230965i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 13.2400 | − | 39.4817i | 0.455200 | − | 1.35741i | ||||
\(847\) | − | 33.1355i | − | 1.13855i | ||||||
\(848\) | 20.4532 | + | 17.0203i | 0.702365 | + | 0.584481i | ||||
\(849\) | −24.5611 | + | 21.1270i | −0.842936 | + | 0.725076i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | − | 6.55400i | − | 0.224668i | ||||||
\(852\) | 39.5808 | − | 15.0499i | 1.35602 | − | 0.515603i | ||||
\(853\) | 6.39801i | 0.219064i | 0.993983 | + | 0.109532i | \(0.0349352\pi\) | ||||
−0.993983 | + | 0.109532i | \(0.965065\pi\) | |||||||
\(854\) | −56.1546 | − | 9.84244i | −1.92157 | − | 0.336801i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 5.33142 | − | 9.29998i | 0.182224 | − | 0.317867i | ||||
\(857\) | − | 27.2124i | − | 0.929559i | −0.885426 | − | 0.464780i | \(-0.846134\pi\) | ||
0.885426 | − | 0.464780i | \(-0.153866\pi\) | |||||||
\(858\) | −2.27385 | + | 1.35333i | −0.0776279 | + | 0.0462020i | ||||
\(859\) | 23.4663 | 0.800658 | 0.400329 | − | 0.916371i | \(-0.368896\pi\) | ||||
0.400329 | + | 0.916371i | \(0.368896\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 19.5406 | − | 16.8084i | 0.665941 | − | 0.572828i | ||||
\(862\) | −8.21575 | − | 1.44001i | −0.279830 | − | 0.0490469i | ||||
\(863\) | 12.4724 | 0.424566 | 0.212283 | − | 0.977208i | \(-0.431910\pi\) | ||||
0.212283 | + | 0.977208i | \(0.431910\pi\) | |||||||
\(864\) | 8.88935 | − | 28.0175i | 0.302422 | − | 0.953174i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 44.8759 | + | 7.86557i | 1.52494 | + | 0.267283i | ||||
\(867\) | 15.6585 | − | 13.4691i | 0.531790 | − | 0.457434i | ||||
\(868\) | −57.7405 | − | 20.8824i | −1.95984 | − | 0.708794i | ||||
\(869\) | −23.1196 | −0.784279 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | − | 2.43212i | − | 0.0824093i | ||||||
\(872\) | −0.827322 | + | 1.44316i | −0.0280166 | + | 0.0488715i | ||||
\(873\) | −0.972093 | + | 6.42984i | −0.0329004 | + | 0.217617i | ||||
\(874\) | −18.0785 | − | 3.16869i | −0.611515 | − | 0.107183i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 14.3118 | − | 5.44181i | 0.483550 | − | 0.183862i | ||||
\(877\) | − | 48.9517i | − | 1.65298i | −0.562950 | − | 0.826491i | \(-0.690333\pi\) | ||
0.562950 | − | 0.826491i | \(-0.309667\pi\) | |||||||
\(878\) | −0.554937 | + | 3.16611i | −0.0187282 | + | 0.106851i | ||||
\(879\) | 38.6652 | − | 33.2590i | 1.30414 | − | 1.12180i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 9.76612i | − | 0.329029i | −0.986375 | − | 0.164514i | \(-0.947394\pi\) | ||
0.986375 | − | 0.164514i | \(-0.0526057\pi\) | |||||||
\(882\) | 16.0233 | − | 47.7815i | 0.539532 | − | 1.60889i | ||||
\(883\) | −37.1170 | −1.24909 | −0.624544 | − | 0.780990i | \(-0.714715\pi\) | ||||
−0.624544 | + | 0.780990i | \(0.714715\pi\) | |||||||
\(884\) | −5.94902 | − | 2.15151i | −0.200087 | − | 0.0723633i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −1.12088 | + | 6.39504i | −0.0376569 | + | 0.214846i | ||||
\(887\) | −20.7792 | −0.697699 | −0.348849 | − | 0.937179i | \(-0.613427\pi\) | ||||
−0.348849 | + | 0.937179i | \(0.613427\pi\) | |||||||
\(888\) | 2.51522 | + | 13.0897i | 0.0844053 | + | 0.439261i | ||||
\(889\) | 56.2899 | 1.88790 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 4.88681 | − | 15.7923i | 0.163714 | − | 0.529062i | ||||
\(892\) | 1.10475 | − | 3.05467i | 0.0369897 | − | 0.102278i | ||||
\(893\) | 52.8821 | 1.76963 | ||||||||
\(894\) | −44.1165 | + | 26.2570i | −1.47548 | + | 0.878164i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −46.0716 | + | 17.1427i | −1.53914 | + | 0.572697i | ||||
\(897\) | 1.60018 | + | 1.86029i | 0.0534285 | + | 0.0621132i | ||||
\(898\) | −9.53322 | + | 54.3904i | −0.318128 | + | 1.81503i | ||||
\(899\) | 56.3901i | 1.88072i | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 35.7766i | 1.19189i | ||||||||
\(902\) | −8.76313 | − | 1.53595i | −0.291780 | − | 0.0511415i | ||||
\(903\) | −14.5645 | − | 16.9319i | −0.484675 | − | 0.563459i | ||||
\(904\) | −15.5611 | + | 27.1444i | −0.517555 | + | 0.902809i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 3.96965 | + | 6.66975i | 0.131883 | + | 0.221588i | ||||
\(907\) | 25.5231 | 0.847481 | 0.423741 | − | 0.905784i | \(-0.360717\pi\) | ||||
0.423741 | + | 0.905784i | \(0.360717\pi\) | |||||||
\(908\) | −3.36033 | + | 9.29144i | −0.111516 | + | 0.308347i | ||||
\(909\) | −1.41850 | + | 9.38256i | −0.0470487 | + | 0.311200i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 18.6187 | 0.616865 | 0.308433 | − | 0.951246i | \(-0.400196\pi\) | ||||
0.308433 | + | 0.951246i | \(0.400196\pi\) | |||||||
\(912\) | 37.3225 | − | 0.609440i | 1.23587 | − | 0.0201806i | ||||
\(913\) | 21.2322 | 0.702683 | ||||||||
\(914\) | −6.91122 | − | 1.21136i | −0.228603 | − | 0.0400681i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 10.3711 | − | 28.6765i | 0.342671 | − | 0.947497i | ||||
\(917\) | 12.9783 | 0.428581 | ||||||||
\(918\) | 36.6014 | − | 14.9090i | 1.20803 | − | 0.492071i | ||||
\(919\) | 27.9743i | 0.922788i | 0.887195 | + | 0.461394i | \(0.152650\pi\) | ||||
−0.887195 | + | 0.461394i | \(0.847350\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 43.6074 | − | 37.5101i | 1.43691 | − | 1.23600i | ||||
\(922\) | 19.6787 | + | 3.44916i | 0.648083 | + | 0.113592i | ||||
\(923\) | − | 7.18934i | − | 0.236640i | ||||||
\(924\) | −25.8412 | + | 9.82568i | −0.850113 | + | 0.323241i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 3.48912 | − | 19.9067i | 0.114660 | − | 0.654174i | ||||
\(927\) | −37.3366 | − | 5.64472i | −1.22629 | − | 0.185397i | ||||
\(928\) | 29.1955 | + | 34.4352i | 0.958391 | + | 1.13039i | ||||
\(929\) | − | 46.7604i | − | 1.53416i | −0.641551 | − | 0.767080i | \(-0.721709\pi\) | ||
0.641551 | − | 0.767080i | \(-0.278291\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 63.9990 | 2.09748 | ||||||||
\(932\) | −15.1685 | + | 41.9413i | −0.496859 | + | 1.37383i | ||||
\(933\) | −33.8475 | + | 29.1149i | −1.10812 | + | 0.953178i | ||||
\(934\) | −7.77551 | + | 44.3620i | −0.254422 | + | 1.45157i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −3.90980 | − | 3.10127i | −0.127796 | − | 0.101368i | ||||
\(937\) | −41.2253 | −1.34677 | −0.673387 | − | 0.739291i | \(-0.735161\pi\) | ||||
−0.673387 | + | 0.739291i | \(0.735161\pi\) | |||||||
\(938\) | 4.38692 | − | 25.0289i | 0.143238 | − | 0.817224i | ||||
\(939\) | −12.6768 | + | 10.9043i | −0.413692 | + | 0.355849i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −0.179836 | −0.00586248 | −0.00293124 | − | 0.999996i | \(-0.500933\pi\) | ||||
−0.00293124 | + | 0.999996i | \(0.500933\pi\) | |||||||
\(942\) | 15.0318 | + | 25.2562i | 0.489763 | + | 0.822892i | ||||
\(943\) | 8.25021i | 0.268664i | ||||||||
\(944\) | 27.5213 | − | 33.0721i | 0.895743 | − | 1.07641i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −1.33090 | + | 7.59325i | −0.0432713 | + | 0.246878i | ||||
\(947\) | 21.3864i | 0.694965i | 0.937686 | + | 0.347483i | \(0.112963\pi\) | ||||
−0.937686 | + | 0.347483i | \(0.887037\pi\) | |||||||
\(948\) | −15.4967 | − | 40.7557i | −0.503309 | − | 1.32369i | ||||
\(949\) | − | 2.59955i | − | 0.0843849i | ||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 6.32612 | − | 5.44160i | 0.205139 | − | 0.176456i | ||||
\(952\) | −57.3405 | − | 32.8717i | −1.85842 | − | 1.06538i | ||||
\(953\) | 11.0306i | 0.357317i | 0.983911 | + | 0.178658i | \(0.0571757\pi\) | ||||
−0.983911 | + | 0.178658i | \(0.942824\pi\) | |||||||
\(954\) | −8.97327 | + | 26.7583i | −0.290520 | + | 0.866333i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 27.9884 | + | 10.1222i | 0.905208 | + | 0.327376i | ||||
\(957\) | 16.5573 | + | 19.2487i | 0.535223 | + | 0.622223i | ||||
\(958\) | −36.1570 | − | 6.33739i | −1.16818 | − | 0.204752i | ||||
\(959\) | −24.6280 | −0.795281 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −18.9248 | −0.610478 | ||||||||
\(962\) | 2.22902 | + | 0.390689i | 0.0718664 | + | 0.0125963i | ||||
\(963\) | 11.2423 | + | 1.69966i | 0.362278 | + | 0.0547709i | ||||
\(964\) | −0.983862 | − | 0.355822i | −0.0316881 | − | 0.0114603i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 13.1119 | + | 22.0305i | 0.421870 | + | 0.708820i | ||||
\(967\) | − | 10.8832i | − | 0.349980i | −0.984570 | − | 0.174990i | \(-0.944011\pi\) | ||
0.984570 | − | 0.174990i | \(-0.0559893\pi\) | |||||||
\(968\) | −18.7133 | − | 10.7278i | −0.601467 | − | 0.344804i | ||||
\(969\) | 32.7288 | + | 38.0488i | 1.05140 | + | 1.22230i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | − | 2.40482i | − | 0.0771744i | −0.999255 | − | 0.0385872i | \(-0.987714\pi\) | ||
0.999255 | − | 0.0385872i | \(-0.0122857\pi\) | |||||||
\(972\) | 31.1146 | − | 1.97074i | 0.998000 | − | 0.0632117i | ||||
\(973\) | 11.6912i | 0.374802i | ||||||||
\(974\) | 5.96846 | − | 34.0521i | 0.191242 | − | 1.09110i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −23.7389 | + | 28.5268i | −0.759863 | + | 0.913119i | ||||
\(977\) | 41.7609i | 1.33605i | 0.744138 | + | 0.668026i | \(0.232860\pi\) | ||||
−0.744138 | + | 0.668026i | \(0.767140\pi\) | |||||||
\(978\) | −27.7458 | + | 16.5135i | −0.887213 | + | 0.528045i | ||||
\(979\) | −7.73698 | −0.247275 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −1.74456 | − | 0.263751i | −0.0556995 | − | 0.00842092i | ||||
\(982\) | 9.19554 | − | 52.4638i | 0.293442 | − | 1.67419i | ||||
\(983\) | −33.2516 | −1.06056 | −0.530281 | − | 0.847822i | \(-0.677914\pi\) | ||||
−0.530281 | + | 0.847822i | \(0.677914\pi\) | |||||||
\(984\) | −3.16617 | − | 16.4774i | −0.100934 | − | 0.525279i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −10.4795 | + | 59.7894i | −0.333736 | + | 1.90408i | ||||
\(987\) | −48.1695 | − | 55.9994i | −1.53325 | − | 1.78248i | ||||
\(988\) | 2.15534 | − | 5.95961i | 0.0685707 | − | 0.189600i | ||||
\(989\) | 7.14881 | 0.227319 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | − | 33.9434i | − | 1.07825i | −0.842226 | − | 0.539124i | \(-0.818755\pi\) | ||
0.842226 | − | 0.539124i | \(-0.181245\pi\) | |||||||
\(992\) | −30.4871 | + | 25.8482i | −0.967967 | + | 0.820681i | ||||
\(993\) | 1.80394 | − | 1.55171i | 0.0572462 | − | 0.0492420i | ||||
\(994\) | 12.9677 | − | 73.9854i | 0.411311 | − | 2.34667i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 14.2316 | + | 37.4285i | 0.450945 | + | 1.18597i | ||||
\(997\) | 45.6428i | 1.44552i | 0.691098 | + | 0.722761i | \(0.257127\pi\) | ||||
−0.691098 | + | 0.722761i | \(0.742873\pi\) | |||||||
\(998\) | 51.1570 | + | 8.96650i | 1.61935 | + | 0.283830i | ||||
\(999\) | −11.9758 | + | 7.51364i | −0.378897 | + | 0.237721i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))