Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [49,2,Mod(2,49)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(49, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([26]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("49.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 49 = 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 49.g (of order \(21\), degree \(12\), 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: | \(0.391266969904\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 11.1 | ||
Character | \(\chi\) | \(=\) | 49.11 |
Dual form | 49.2.g.a.9.1 |
$q$-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 \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{20}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.73170 | + | 1.60678i | −1.22449 | + | 1.13616i | −0.238191 | + | 0.971218i | \(0.576554\pi\) |
−0.986303 | + | 0.164945i | \(0.947255\pi\) | |||||||
\(3\) | 2.78061 | − | 0.419109i | 1.60538 | − | 0.241973i | 0.715652 | − | 0.698457i | \(-0.246129\pi\) |
0.889732 | + | 0.456484i | \(0.150891\pi\) | |||||||
\(4\) | 0.267571 | − | 3.57049i | 0.133786 | − | 1.78525i | ||||
\(5\) | −0.567937 | + | 1.44708i | −0.253989 | + | 0.647154i | −0.999820 | − | 0.0189819i | \(-0.993958\pi\) |
0.745831 | + | 0.666135i | \(0.232053\pi\) | |||||||
\(6\) | −4.14175 | + | 5.19359i | −1.69086 | + | 2.12027i | ||||
\(7\) | −2.62161 | − | 0.356599i | −0.990875 | − | 0.134782i | ||||
\(8\) | 2.32789 | + | 2.91908i | 0.823032 | + | 1.03205i | ||||
\(9\) | 4.68940 | − | 1.44649i | 1.56313 | − | 0.482163i | ||||
\(10\) | −1.34164 | − | 3.41845i | −0.424265 | − | 1.08101i | ||||
\(11\) | −0.663342 | − | 0.204614i | −0.200005 | − | 0.0616934i | 0.193134 | − | 0.981172i | \(-0.438135\pi\) |
−0.393139 | + | 0.919479i | \(0.628611\pi\) | |||||||
\(12\) | −0.752415 | − | 10.0403i | −0.217203 | − | 2.89838i | ||||
\(13\) | −0.928088 | − | 4.06622i | −0.257405 | − | 1.12777i | −0.924014 | − | 0.382359i | \(-0.875112\pi\) |
0.666608 | − | 0.745408i | \(-0.267745\pi\) | |||||||
\(14\) | 5.11281 | − | 3.59482i | 1.36645 | − | 0.960757i | ||||
\(15\) | −0.972725 | + | 4.26179i | −0.251156 | + | 1.10039i | ||||
\(16\) | −1.64048 | − | 0.247262i | −0.410119 | − | 0.0618155i | ||||
\(17\) | −0.659346 | + | 0.449534i | −0.159915 | + | 0.109028i | −0.640634 | − | 0.767847i | \(-0.721328\pi\) |
0.480719 | + | 0.876875i | \(0.340376\pi\) | |||||||
\(18\) | −5.79643 | + | 10.0397i | −1.36623 | + | 2.36638i | ||||
\(19\) | 1.05437 | + | 1.82622i | 0.241889 | + | 0.418964i | 0.961252 | − | 0.275670i | \(-0.0888997\pi\) |
−0.719363 | + | 0.694634i | \(0.755566\pi\) | |||||||
\(20\) | 5.01482 | + | 2.41501i | 1.12135 | + | 0.540013i | ||||
\(21\) | −7.43912 | + | 0.107177i | −1.62335 | + | 0.0233880i | ||||
\(22\) | 1.47747 | − | 0.711514i | 0.314999 | − | 0.151695i | ||||
\(23\) | −4.52784 | − | 3.08703i | −0.944119 | − | 0.643690i | −0.00973344 | − | 0.999953i | \(-0.503098\pi\) |
−0.934386 | + | 0.356263i | \(0.884051\pi\) | |||||||
\(24\) | 7.69635 | + | 7.14117i | 1.57101 | + | 1.45769i | ||||
\(25\) | 1.89377 | + | 1.75716i | 0.378755 | + | 0.351433i | ||||
\(26\) | 8.14068 | + | 5.55022i | 1.59652 | + | 1.08849i | ||||
\(27\) | 4.83254 | − | 2.32723i | 0.930023 | − | 0.447875i | ||||
\(28\) | −1.97470 | + | 9.26502i | −0.373184 | + | 1.75092i | ||||
\(29\) | 0.0358031 | + | 0.0172419i | 0.00664847 | + | 0.00320174i | 0.437205 | − | 0.899362i | \(-0.355968\pi\) |
−0.430557 | + | 0.902564i | \(0.641683\pi\) | |||||||
\(30\) | −5.16328 | − | 8.94307i | −0.942682 | − | 1.63277i | ||||
\(31\) | 1.21615 | − | 2.10644i | 0.218428 | − | 0.378328i | −0.735900 | − | 0.677090i | \(-0.763241\pi\) |
0.954327 | + | 0.298763i | \(0.0965739\pi\) | |||||||
\(32\) | −2.93166 | + | 1.99877i | −0.518249 | + | 0.353336i | ||||
\(33\) | −1.93025 | − | 0.290938i | −0.336013 | − | 0.0506458i | ||||
\(34\) | 0.419484 | − | 1.83788i | 0.0719409 | − | 0.315194i | ||||
\(35\) | 2.00494 | − | 3.59115i | 0.338896 | − | 0.607015i | ||||
\(36\) | −3.90993 | − | 17.1305i | −0.651655 | − | 2.85509i | ||||
\(37\) | 0.720079 | + | 9.60878i | 0.118380 | + | 1.57967i | 0.667937 | + | 0.744218i | \(0.267178\pi\) |
−0.549557 | + | 0.835456i | \(0.685203\pi\) | |||||||
\(38\) | −4.76018 | − | 1.46832i | −0.772203 | − | 0.238193i | ||||
\(39\) | −4.28484 | − | 10.9176i | −0.686123 | − | 1.74821i | ||||
\(40\) | −5.54623 | + | 1.71079i | −0.876936 | + | 0.270499i | ||||
\(41\) | 2.97571 | + | 3.73142i | 0.464728 | + | 0.582750i | 0.957871 | − | 0.287198i | \(-0.0927238\pi\) |
−0.493144 | + | 0.869948i | \(0.664152\pi\) | |||||||
\(42\) | 12.7101 | − | 12.1386i | 1.96121 | − | 1.87303i | ||||
\(43\) | −4.04621 | + | 5.07379i | −0.617042 | + | 0.773746i | −0.987925 | − | 0.154933i | \(-0.950484\pi\) |
0.370883 | + | 0.928680i | \(0.379055\pi\) | |||||||
\(44\) | −0.908064 | + | 2.31371i | −0.136896 | + | 0.348805i | ||||
\(45\) | −0.570100 | + | 7.60746i | −0.0849855 | + | 1.13405i | ||||
\(46\) | 12.8010 | − | 1.92944i | 1.88740 | − | 0.284480i | ||||
\(47\) | 4.10689 | − | 3.81064i | 0.599052 | − | 0.555839i | −0.321277 | − | 0.946985i | \(-0.604112\pi\) |
0.920328 | + | 0.391147i | \(0.127921\pi\) | |||||||
\(48\) | −4.66515 | −0.673356 | ||||||||
\(49\) | 6.74567 | + | 1.86973i | 0.963668 | + | 0.267104i | ||||
\(50\) | −6.10281 | −0.863068 | ||||||||
\(51\) | −1.64498 | + | 1.52632i | −0.230343 | + | 0.213727i | ||||
\(52\) | −14.7667 | + | 2.22573i | −2.04778 | + | 0.308653i | ||||
\(53\) | −0.686072 | + | 9.15499i | −0.0942392 | + | 1.25753i | 0.726875 | + | 0.686770i | \(0.240972\pi\) |
−0.821114 | + | 0.570764i | \(0.806647\pi\) | |||||||
\(54\) | −4.62915 | + | 11.7949i | −0.629947 | + | 1.60508i | ||||
\(55\) | 0.672829 | − | 0.843700i | 0.0907242 | − | 0.113765i | ||||
\(56\) | −5.06187 | − | 8.48281i | −0.676421 | − | 1.13356i | ||||
\(57\) | 3.69718 | + | 4.63611i | 0.489703 | + | 0.614068i | ||||
\(58\) | −0.0897040 | + | 0.0276700i | −0.0117787 | + | 0.00363325i | ||||
\(59\) | −3.92848 | − | 10.0096i | −0.511445 | − | 1.30314i | −0.920540 | − | 0.390648i | \(-0.872251\pi\) |
0.409095 | − | 0.912492i | \(-0.365844\pi\) | |||||||
\(60\) | 14.9564 | + | 4.61344i | 1.93086 | + | 0.595593i | ||||
\(61\) | −0.356368 | − | 4.75540i | −0.0456283 | − | 0.608867i | −0.972412 | − | 0.233271i | \(-0.925057\pi\) |
0.926784 | − | 0.375596i | \(-0.122562\pi\) | |||||||
\(62\) | 1.27857 | + | 5.60180i | 0.162379 | + | 0.711429i | ||||
\(63\) | −12.8096 | + | 2.11989i | −1.61386 | + | 0.267081i | ||||
\(64\) | 2.60348 | − | 11.4066i | 0.325436 | − | 1.42583i | ||||
\(65\) | 6.41124 | + | 0.966339i | 0.795216 | + | 0.119860i | ||||
\(66\) | 3.81007 | − | 2.59767i | 0.468988 | − | 0.319750i | ||||
\(67\) | 3.95660 | − | 6.85303i | 0.483375 | − | 0.837231i | −0.516442 | − | 0.856322i | \(-0.672744\pi\) |
0.999818 | + | 0.0190912i | \(0.00607728\pi\) | |||||||
\(68\) | 1.42864 | + | 2.47447i | 0.173248 | + | 0.300074i | ||||
\(69\) | −13.8839 | − | 6.68615i | −1.67143 | − | 0.804918i | ||||
\(70\) | 2.29825 | + | 9.44027i | 0.274693 | + | 1.12833i | ||||
\(71\) | −3.10167 | + | 1.49368i | −0.368100 | + | 0.177268i | −0.608784 | − | 0.793336i | \(-0.708342\pi\) |
0.240684 | + | 0.970603i | \(0.422628\pi\) | |||||||
\(72\) | 15.1388 | + | 10.3215i | 1.78413 | + | 1.21640i | ||||
\(73\) | −1.84688 | − | 1.71365i | −0.216161 | − | 0.200568i | 0.564659 | − | 0.825324i | \(-0.309008\pi\) |
−0.780820 | + | 0.624757i | \(0.785198\pi\) | |||||||
\(74\) | −16.6861 | − | 15.4825i | −1.93972 | − | 1.79980i | ||||
\(75\) | 6.00228 | + | 4.09229i | 0.693084 | + | 0.472537i | ||||
\(76\) | 6.80263 | − | 3.27598i | 0.780316 | − | 0.375780i | ||||
\(77\) | 1.66606 | + | 0.772965i | 0.189865 | + | 0.0880875i | ||||
\(78\) | 24.9622 | + | 12.0212i | 2.82641 | + | 1.36113i | ||||
\(79\) | 5.31518 | + | 9.20616i | 0.598004 | + | 1.03577i | 0.993115 | + | 0.117140i | \(0.0373727\pi\) |
−0.395111 | + | 0.918633i | \(0.629294\pi\) | |||||||
\(80\) | 1.28949 | − | 2.23347i | 0.144170 | − | 0.249709i | ||||
\(81\) | 0.297914 | − | 0.203114i | 0.0331015 | − | 0.0225682i | ||||
\(82\) | −11.1486 | − | 1.68038i | −1.23116 | − | 0.185567i | ||||
\(83\) | 2.05809 | − | 9.01706i | 0.225904 | − | 0.989751i | −0.727037 | − | 0.686598i | \(-0.759103\pi\) |
0.952942 | − | 0.303154i | \(-0.0980395\pi\) | |||||||
\(84\) | −1.60782 | + | 26.5900i | −0.175428 | + | 2.90121i | ||||
\(85\) | −0.276045 | − | 1.20943i | −0.0299413 | − | 0.131181i | ||||
\(86\) | −1.14565 | − | 15.2876i | −0.123539 | − | 1.64851i | ||||
\(87\) | 0.106781 | + | 0.0329375i | 0.0114481 | + | 0.00353127i | ||||
\(88\) | −0.946901 | − | 2.41266i | −0.100940 | − | 0.257191i | ||||
\(89\) | −0.0252783 | + | 0.00779732i | −0.00267949 | + | 0.000826514i | −0.296095 | − | 0.955159i | \(-0.595684\pi\) |
0.293415 | + | 0.955985i | \(0.405208\pi\) | |||||||
\(90\) | −11.2363 | − | 14.0898i | −1.18441 | − | 1.48520i | ||||
\(91\) | 0.983073 | + | 10.9910i | 0.103054 | + | 1.15217i | ||||
\(92\) | −12.2337 | + | 15.3406i | −1.27545 | + | 1.59937i | ||||
\(93\) | 2.49882 | − | 6.36688i | 0.259115 | − | 0.660215i | ||||
\(94\) | −0.989033 | + | 13.1977i | −0.102011 | + | 1.36124i | ||||
\(95\) | −3.24150 | + | 0.488578i | −0.332571 | + | 0.0501271i | ||||
\(96\) | −7.31409 | + | 6.78648i | −0.746491 | + | 0.692643i | ||||
\(97\) | −11.7290 | −1.19089 | −0.595447 | − | 0.803394i | \(-0.703025\pi\) | ||||
−0.595447 | + | 0.803394i | \(0.703025\pi\) | |||||||
\(98\) | −14.6857 | + | 7.60100i | −1.48348 | + | 0.767817i | ||||
\(99\) | −3.40665 | −0.342381 | ||||||||
\(100\) | 6.78066 | − | 6.29154i | 0.678066 | − | 0.629154i | ||||
\(101\) | 18.4994 | − | 2.78833i | 1.84076 | − | 0.277449i | 0.865889 | − | 0.500237i | \(-0.166754\pi\) |
0.974867 | + | 0.222787i | \(0.0715156\pi\) | |||||||
\(102\) | 0.396148 | − | 5.28623i | 0.0392245 | − | 0.523415i | ||||
\(103\) | 2.74860 | − | 7.00332i | 0.270828 | − | 0.690058i | −0.729156 | − | 0.684348i | \(-0.760087\pi\) |
0.999984 | − | 0.00571039i | \(-0.00181768\pi\) | |||||||
\(104\) | 9.70913 | − | 12.1749i | 0.952059 | − | 1.19384i | ||||
\(105\) | 4.06986 | − | 10.8259i | 0.397177 | − | 1.05650i | ||||
\(106\) | −13.5220 | − | 16.9560i | −1.31337 | − | 1.64691i | ||||
\(107\) | 4.60124 | − | 1.41929i | 0.444818 | − | 0.137208i | −0.0642510 | − | 0.997934i | \(-0.520466\pi\) |
0.509069 | + | 0.860725i | \(0.329990\pi\) | |||||||
\(108\) | −7.01631 | − | 17.8773i | −0.675144 | − | 1.72024i | ||||
\(109\) | 11.2668 | + | 3.47535i | 1.07916 | + | 0.332878i | 0.782849 | − | 0.622212i | \(-0.213766\pi\) |
0.296315 | + | 0.955090i | \(0.404242\pi\) | |||||||
\(110\) | 0.190505 | + | 2.54212i | 0.0181640 | + | 0.242381i | ||||
\(111\) | 6.02938 | + | 26.4165i | 0.572284 | + | 2.50734i | ||||
\(112\) | 4.21251 | + | 1.23322i | 0.398045 | + | 0.116528i | ||||
\(113\) | 2.44118 | − | 10.6955i | 0.229647 | − | 1.00615i | −0.720281 | − | 0.693682i | \(-0.755987\pi\) |
0.949928 | − | 0.312468i | \(-0.101156\pi\) | |||||||
\(114\) | −13.8516 | − | 2.08779i | −1.29732 | − | 0.195539i | ||||
\(115\) | 7.03870 | − | 4.79890i | 0.656362 | − | 0.447500i | ||||
\(116\) | 0.0711419 | − | 0.123221i | 0.00660536 | − | 0.0114408i | ||||
\(117\) | −10.2339 | − | 17.7257i | −0.946127 | − | 1.63874i | ||||
\(118\) | 22.8862 | + | 11.0214i | 2.10684 | + | 1.01460i | ||||
\(119\) | 1.88885 | − | 0.943381i | 0.173151 | − | 0.0864796i | ||||
\(120\) | −14.7049 | + | 7.08150i | −1.34237 | + | 0.646449i | ||||
\(121\) | −8.69047 | − | 5.92506i | −0.790043 | − | 0.538642i | ||||
\(122\) | 8.25800 | + | 7.66230i | 0.747644 | + | 0.693712i | ||||
\(123\) | 9.83815 | + | 9.12847i | 0.887076 | + | 0.823086i | ||||
\(124\) | −7.19562 | − | 4.90589i | −0.646186 | − | 0.440562i | ||||
\(125\) | −10.6213 | + | 5.11493i | −0.949994 | + | 0.457493i | ||||
\(126\) | 18.7761 | − | 24.2532i | 1.67271 | − | 2.16065i | ||||
\(127\) | −12.6746 | − | 6.10376i | −1.12469 | − | 0.541621i | −0.223350 | − | 0.974738i | \(-0.571699\pi\) |
−0.901337 | + | 0.433118i | \(0.857414\pi\) | |||||||
\(128\) | 10.2713 | + | 17.7903i | 0.907859 | + | 1.57246i | ||||
\(129\) | −9.12446 | + | 15.8040i | −0.803364 | + | 1.39147i | ||||
\(130\) | −12.6550 | + | 8.62804i | −1.10992 | + | 0.756729i | ||||
\(131\) | −13.9784 | − | 2.10690i | −1.22130 | − | 0.184081i | −0.493421 | − | 0.869790i | \(-0.664254\pi\) |
−0.727875 | + | 0.685710i | \(0.759492\pi\) | |||||||
\(132\) | −1.55527 | + | 6.81409i | −0.135369 | + | 0.593091i | ||||
\(133\) | −2.11292 | − | 5.16363i | −0.183213 | − | 0.447744i | ||||
\(134\) | 4.15968 | + | 18.2247i | 0.359341 | + | 1.57438i | ||||
\(135\) | 0.623107 | + | 8.31479i | 0.0536285 | + | 0.715623i | ||||
\(136\) | −2.84711 | − | 0.878216i | −0.244137 | − | 0.0753064i | ||||
\(137\) | 0.903392 | + | 2.30181i | 0.0771820 | + | 0.196657i | 0.964257 | − | 0.264969i | \(-0.0853617\pi\) |
−0.887075 | + | 0.461625i | \(0.847266\pi\) | |||||||
\(138\) | 34.7859 | − | 10.7300i | 2.96117 | − | 0.913401i | ||||
\(139\) | −1.67222 | − | 2.09690i | −0.141836 | − | 0.177856i | 0.705840 | − | 0.708372i | \(-0.250570\pi\) |
−0.847675 | + | 0.530515i | \(0.821998\pi\) | |||||||
\(140\) | −12.2857 | − | 8.11950i | −1.03833 | − | 0.686223i | ||||
\(141\) | 9.82258 | − | 12.3171i | 0.827211 | − | 1.03729i | ||||
\(142\) | 2.97112 | − | 7.57029i | 0.249331 | − | 0.635285i | ||||
\(143\) | −0.216365 | + | 2.88719i | −0.0180934 | + | 0.241439i | ||||
\(144\) | −8.05052 | + | 1.21342i | −0.670876 | + | 0.101118i | ||||
\(145\) | −0.0452843 | + | 0.0420177i | −0.00376065 | + | 0.00348938i | ||||
\(146\) | 5.95169 | 0.492565 | ||||||||
\(147\) | 19.5407 | + | 2.37181i | 1.61169 | + | 0.195624i | ||||
\(148\) | 34.5008 | 2.83595 | ||||||||
\(149\) | −1.99199 | + | 1.84829i | −0.163190 | + | 0.151418i | −0.757541 | − | 0.652788i | \(-0.773599\pi\) |
0.594351 | + | 0.804206i | \(0.297409\pi\) | |||||||
\(150\) | −16.9695 | + | 2.55774i | −1.38556 | + | 0.208839i | ||||
\(151\) | 0.0875117 | − | 1.16776i | 0.00712160 | − | 0.0950312i | −0.992510 | − | 0.122161i | \(-0.961018\pi\) |
0.999632 | + | 0.0271296i | \(0.00863669\pi\) | |||||||
\(152\) | −2.87643 | + | 7.32903i | −0.233309 | + | 0.594463i | ||||
\(153\) | −2.44169 | + | 3.06178i | −0.197399 | + | 0.247531i | ||||
\(154\) | −4.12709 | + | 1.33845i | −0.332570 | + | 0.107855i | ||||
\(155\) | 2.35749 | + | 2.95620i | 0.189358 | + | 0.237447i | ||||
\(156\) | −40.1277 | + | 12.3778i | −3.21279 | + | 0.991013i | ||||
\(157\) | 3.73500 | + | 9.51664i | 0.298086 | + | 0.759510i | 0.998932 | + | 0.0461981i | \(0.0147106\pi\) |
−0.700846 | + | 0.713312i | \(0.747194\pi\) | |||||||
\(158\) | −23.9965 | − | 7.40195i | −1.90906 | − | 0.588867i | ||||
\(159\) | 1.92924 | + | 25.7440i | 0.152999 | + | 2.04163i | ||||
\(160\) | −1.22738 | − | 5.37752i | −0.0970332 | − | 0.425130i | ||||
\(161\) | 10.7694 | + | 9.70760i | 0.848747 | + | 0.765066i | ||||
\(162\) | −0.189536 | + | 0.830413i | −0.0148914 | + | 0.0652434i | ||||
\(163\) | −5.26945 | − | 0.794243i | −0.412736 | − | 0.0622099i | −0.0606074 | − | 0.998162i | \(-0.519304\pi\) |
−0.352128 | + | 0.935952i | \(0.614542\pi\) | |||||||
\(164\) | 14.1192 | − | 9.62632i | 1.10253 | − | 0.751690i | ||||
\(165\) | 1.51727 | − | 2.62799i | 0.118119 | − | 0.204589i | ||||
\(166\) | 10.9244 | + | 18.9217i | 0.847901 | + | 1.46861i | ||||
\(167\) | 1.38071 | + | 0.664915i | 0.106843 | + | 0.0514526i | 0.486542 | − | 0.873657i | \(-0.338258\pi\) |
−0.379699 | + | 0.925110i | \(0.623972\pi\) | |||||||
\(168\) | −17.6303 | − | 21.4659i | −1.36021 | − | 1.65613i | ||||
\(169\) | −3.96021 | + | 1.90714i | −0.304632 | + | 0.146703i | ||||
\(170\) | 2.42132 | + | 1.65083i | 0.185706 | + | 0.126613i | ||||
\(171\) | 7.58598 | + | 7.03876i | 0.580114 | + | 0.538267i | ||||
\(172\) | 17.0333 | + | 15.8046i | 1.29878 | + | 1.20509i | ||||
\(173\) | 4.57736 | + | 3.12079i | 0.348010 | + | 0.237269i | 0.724691 | − | 0.689074i | \(-0.241982\pi\) |
−0.376681 | + | 0.926343i | \(0.622935\pi\) | |||||||
\(174\) | −0.237835 | + | 0.114535i | −0.0180302 | + | 0.00868289i | ||||
\(175\) | −4.33813 | − | 5.28192i | −0.327932 | − | 0.399275i | ||||
\(176\) | 1.03760 | + | 0.499683i | 0.0782123 | + | 0.0376650i | ||||
\(177\) | −15.1187 | − | 26.1863i | −1.13639 | − | 1.96828i | ||||
\(178\) | 0.0312457 | − | 0.0541192i | 0.00234197 | − | 0.00405641i | ||||
\(179\) | 10.5296 | − | 7.17896i | 0.787019 | − | 0.536581i | −0.101818 | − | 0.994803i | \(-0.532466\pi\) |
0.888838 | + | 0.458222i | \(0.151514\pi\) | |||||||
\(180\) | 27.0098 | + | 4.07108i | 2.01319 | + | 0.303440i | ||||
\(181\) | 4.08394 | − | 17.8929i | 0.303557 | − | 1.32997i | −0.561158 | − | 0.827708i | \(-0.689644\pi\) |
0.864716 | − | 0.502262i | \(-0.167499\pi\) | |||||||
\(182\) | −19.3625 | − | 17.4535i | −1.43524 | − | 1.29374i | ||||
\(183\) | −2.98395 | − | 13.0735i | −0.220580 | − | 0.966424i | ||||
\(184\) | −1.52902 | − | 20.4034i | −0.112721 | − | 1.50416i | ||||
\(185\) | −14.3136 | − | 4.41517i | −1.05236 | − | 0.324610i | ||||
\(186\) | 5.90298 | + | 15.0405i | 0.432827 | + | 1.10283i | ||||
\(187\) | 0.529352 | − | 0.163284i | 0.0387101 | − | 0.0119405i | ||||
\(188\) | −12.5070 | − | 15.6832i | −0.912165 | − | 1.14382i | ||||
\(189\) | −13.4989 | + | 4.37780i | −0.981902 | + | 0.318438i | ||||
\(190\) | 4.82826 | − | 6.05445i | 0.350279 | − | 0.439236i | ||||
\(191\) | −7.19141 | + | 18.3234i | −0.520352 | + | 1.32584i | 0.393327 | + | 0.919399i | \(0.371324\pi\) |
−0.913679 | + | 0.406437i | \(0.866771\pi\) | |||||||
\(192\) | 2.45865 | − | 32.8084i | 0.177438 | − | 2.36775i | ||||
\(193\) | −15.4072 | + | 2.32226i | −1.10903 | + | 0.167160i | −0.677918 | − | 0.735137i | \(-0.737118\pi\) |
−0.431115 | + | 0.902297i | \(0.641880\pi\) | |||||||
\(194\) | 20.3110 | − | 18.8458i | 1.45824 | − | 1.35305i | ||||
\(195\) | 18.2321 | 1.30563 | ||||||||
\(196\) | 8.48080 | − | 23.5851i | 0.605772 | − | 1.68465i | ||||
\(197\) | 16.2192 | 1.15557 | 0.577786 | − | 0.816188i | \(-0.303917\pi\) | ||||
0.577786 | + | 0.816188i | \(0.303917\pi\) | |||||||
\(198\) | 5.89928 | − | 5.47373i | 0.419244 | − | 0.389001i | ||||
\(199\) | −21.7207 | + | 3.27387i | −1.53974 | + | 0.232079i | −0.863404 | − | 0.504514i | \(-0.831672\pi\) |
−0.676337 | + | 0.736592i | \(0.736434\pi\) | |||||||
\(200\) | −0.720811 | + | 9.61855i | −0.0509690 | + | 0.680134i | ||||
\(201\) | 8.12958 | − | 20.7138i | 0.573416 | − | 1.46104i | ||||
\(202\) | −27.5550 | + | 34.5529i | −1.93877 | + | 2.43113i | ||||
\(203\) | −0.0877134 | − | 0.0579689i | −0.00615627 | − | 0.00406862i | ||||
\(204\) | 5.00955 | + | 6.28178i | 0.350739 | + | 0.439812i | ||||
\(205\) | −7.08967 | + | 2.18687i | −0.495164 | + | 0.152738i | ||||
\(206\) | 6.49305 | + | 16.5440i | 0.452392 | + | 1.15268i | ||||
\(207\) | −25.6982 | − | 7.92685i | −1.78615 | − | 0.550954i | ||||
\(208\) | 0.517085 | + | 6.90002i | 0.0358534 | + | 0.478430i | ||||
\(209\) | −0.325737 | − | 1.42715i | −0.0225317 | − | 0.0987179i | ||||
\(210\) | 10.3470 | + | 25.2865i | 0.714012 | + | 1.74493i | ||||
\(211\) | −6.15510 | + | 26.9673i | −0.423735 | + | 1.85650i | 0.0861819 | + | 0.996279i | \(0.472533\pi\) |
−0.509917 | + | 0.860224i | \(0.670324\pi\) | |||||||
\(212\) | 32.5042 | + | 4.89923i | 2.23240 | + | 0.336480i | ||||
\(213\) | −7.99850 | + | 5.45328i | −0.548048 | + | 0.373653i | ||||
\(214\) | −5.68745 | + | 9.85095i | −0.388786 | + | 0.673397i | ||||
\(215\) | −5.04419 | − | 8.73679i | −0.344011 | − | 0.595844i | ||||
\(216\) | 18.0430 | + | 8.68904i | 1.22767 | + | 0.591214i | ||||
\(217\) | −3.93944 | + | 5.08858i | −0.267426 | + | 0.345436i | ||||
\(218\) | −25.0948 | + | 12.0850i | −1.69963 | + | 0.818500i | ||||
\(219\) | −5.85365 | − | 3.99095i | −0.395553 | − | 0.269683i | ||||
\(220\) | −2.83240 | − | 2.62808i | −0.190960 | − | 0.177185i | ||||
\(221\) | 2.43984 | + | 2.26384i | 0.164121 | + | 0.152282i | ||||
\(222\) | −52.8864 | − | 36.0574i | −3.54951 | − | 2.42001i | ||||
\(223\) | −2.05848 | + | 0.991311i | −0.137846 | + | 0.0663831i | −0.501535 | − | 0.865137i | \(-0.667231\pi\) |
0.363689 | + | 0.931520i | \(0.381517\pi\) | |||||||
\(224\) | 8.39843 | − | 4.19457i | 0.561144 | − | 0.280262i | ||||
\(225\) | 11.4224 | + | 5.50073i | 0.761493 | + | 0.366716i | ||||
\(226\) | 12.9579 | + | 22.4438i | 0.861949 | + | 1.49294i | ||||
\(227\) | 12.9143 | − | 22.3682i | 0.857149 | − | 1.48463i | −0.0174870 | − | 0.999847i | \(-0.505567\pi\) |
0.874637 | − | 0.484779i | \(-0.161100\pi\) | |||||||
\(228\) | 17.5425 | − | 11.9602i | 1.16178 | − | 0.792087i | ||||
\(229\) | 7.46898 | + | 1.12577i | 0.493564 | + | 0.0743928i | 0.391108 | − | 0.920345i | \(-0.372092\pi\) |
0.102456 | + | 0.994738i | \(0.467330\pi\) | |||||||
\(230\) | −4.47811 | + | 19.6199i | −0.295278 | + | 1.29370i | ||||
\(231\) | 4.95661 | + | 1.45105i | 0.326121 | + | 0.0954722i | ||||
\(232\) | 0.0330153 | + | 0.144649i | 0.00216756 | + | 0.00949669i | ||||
\(233\) | −0.442674 | − | 5.90707i | −0.0290005 | − | 0.386985i | −0.992752 | − | 0.120183i | \(-0.961652\pi\) |
0.963751 | − | 0.266802i | \(-0.0859671\pi\) | |||||||
\(234\) | 46.2033 | + | 14.2518i | 3.02040 | + | 0.931671i | ||||
\(235\) | 3.18184 | + | 8.10720i | 0.207560 | + | 0.528855i | ||||
\(236\) | −36.7904 | + | 11.3483i | −2.39485 | + | 0.738713i | ||||
\(237\) | 18.6378 | + | 23.3711i | 1.21066 | + | 1.51811i | ||||
\(238\) | −1.75511 | + | 4.66861i | −0.113767 | + | 0.302621i | ||||
\(239\) | 3.75792 | − | 4.71229i | 0.243080 | − | 0.304813i | −0.645293 | − | 0.763935i | \(-0.723265\pi\) |
0.888373 | + | 0.459123i | \(0.151836\pi\) | |||||||
\(240\) | 2.64951 | − | 6.75084i | 0.171025 | − | 0.435765i | ||||
\(241\) | −0.545639 | + | 7.28105i | −0.0351477 | + | 0.469013i | 0.951664 | + | 0.307141i | \(0.0993723\pi\) |
−0.986812 | + | 0.161872i | \(0.948247\pi\) | |||||||
\(242\) | 24.5695 | − | 3.70326i | 1.57939 | − | 0.238054i | ||||
\(243\) | −11.0524 | + | 10.2551i | −0.709011 | + | 0.657866i | ||||
\(244\) | −17.0745 | −1.09308 | ||||||||
\(245\) | −6.53676 | + | 8.69964i | −0.417618 | + | 0.555799i | ||||
\(246\) | −31.7041 | −2.02138 | ||||||||
\(247\) | 6.44728 | − | 5.98220i | 0.410230 | − | 0.380638i | ||||
\(248\) | 8.97993 | − | 1.35351i | 0.570226 | − | 0.0859478i | ||||
\(249\) | 1.94360 | − | 25.9355i | 0.123170 | − | 1.64359i | ||||
\(250\) | 10.1742 | − | 25.9235i | 0.643474 | − | 1.63955i | ||||
\(251\) | 1.84792 | − | 2.31721i | 0.116639 | − | 0.146261i | −0.720084 | − | 0.693887i | \(-0.755897\pi\) |
0.836723 | + | 0.547626i | \(0.184468\pi\) | |||||||
\(252\) | 4.14158 | + | 46.3038i | 0.260895 | + | 2.91687i | ||||
\(253\) | 2.37185 | + | 2.97421i | 0.149117 | + | 0.186987i | ||||
\(254\) | 31.7559 | − | 9.79540i | 1.99254 | − | 0.614618i | ||||
\(255\) | −1.27446 | − | 3.24726i | −0.0798096 | − | 0.203352i | ||||
\(256\) | −24.0115 | − | 7.40657i | −1.50072 | − | 0.462910i | ||||
\(257\) | 1.94985 | + | 26.0190i | 0.121629 | + | 1.62302i | 0.640354 | + | 0.768080i | \(0.278788\pi\) |
−0.518726 | + | 0.854941i | \(0.673593\pi\) | |||||||
\(258\) | −9.59279 | − | 42.0287i | −0.597221 | − | 2.61660i | ||||
\(259\) | 1.53872 | − | 25.4473i | 0.0956115 | − | 1.58122i | ||||
\(260\) | 5.16577 | − | 22.6327i | 0.320368 | − | 1.40362i | ||||
\(261\) | 0.192836 | + | 0.0290653i | 0.0119362 | + | 0.00179910i | ||||
\(262\) | 27.5916 | − | 18.8116i | 1.70462 | − | 1.16219i | ||||
\(263\) | 2.47707 | − | 4.29042i | 0.152743 | − | 0.264559i | −0.779492 | − | 0.626412i | \(-0.784523\pi\) |
0.932235 | + | 0.361854i | \(0.117856\pi\) | |||||||
\(264\) | −3.64413 | − | 6.31182i | −0.224281 | − | 0.388466i | ||||
\(265\) | −12.8583 | − | 6.19225i | −0.789882 | − | 0.380387i | ||||
\(266\) | 11.9557 | + | 5.54684i | 0.733053 | + | 0.340099i | ||||
\(267\) | −0.0670211 | + | 0.0322757i | −0.00410162 | + | 0.00197524i | ||||
\(268\) | −23.4100 | − | 15.9607i | −1.42999 | − | 0.974954i | ||||
\(269\) | −11.8287 | − | 10.9755i | −0.721211 | − | 0.669186i | 0.231579 | − | 0.972816i | \(-0.425611\pi\) |
−0.952790 | + | 0.303630i | \(0.901801\pi\) | |||||||
\(270\) | −14.4391 | − | 13.3975i | −0.878733 | − | 0.815345i | ||||
\(271\) | −1.44638 | − | 0.986124i | −0.0878613 | − | 0.0599028i | 0.518593 | − | 0.855021i | \(-0.326456\pi\) |
−0.606454 | + | 0.795119i | \(0.707409\pi\) | |||||||
\(272\) | 1.19279 | − | 0.574419i | 0.0723237 | − | 0.0348293i | ||||
\(273\) | 7.33997 | + | 30.1496i | 0.444235 | + | 1.82474i | ||||
\(274\) | −5.26289 | − | 2.53448i | −0.317943 | − | 0.153113i | ||||
\(275\) | −0.896679 | − | 1.55309i | −0.0540718 | − | 0.0936550i | ||||
\(276\) | −27.5878 | + | 47.7835i | −1.66059 | + | 2.87623i | ||||
\(277\) | 13.3638 | − | 9.11129i | 0.802953 | − | 0.547444i | −0.0908704 | − | 0.995863i | \(-0.528965\pi\) |
0.893824 | + | 0.448418i | \(0.148013\pi\) | |||||||
\(278\) | 6.26502 | + | 0.944300i | 0.375751 | + | 0.0566353i | ||||
\(279\) | 2.65609 | − | 11.6371i | 0.159016 | − | 0.696695i | ||||
\(280\) | 15.1501 | − | 2.50723i | 0.905393 | − | 0.149836i | ||||
\(281\) | −0.859518 | − | 3.76580i | −0.0512746 | − | 0.224649i | 0.942798 | − | 0.333363i | \(-0.108184\pi\) |
−0.994073 | + | 0.108715i | \(0.965326\pi\) | |||||||
\(282\) | 2.78118 | + | 37.1122i | 0.165617 | + | 2.21000i | ||||
\(283\) | 28.6147 | + | 8.82648i | 1.70097 | + | 0.524680i | 0.984866 | − | 0.173315i | \(-0.0554478\pi\) |
0.716103 | + | 0.697995i | \(0.245924\pi\) | |||||||
\(284\) | 4.50327 | + | 11.4741i | 0.267220 | + | 0.680865i | ||||
\(285\) | −8.80858 | + | 2.71709i | −0.521775 | + | 0.160946i | ||||
\(286\) | −4.26440 | − | 5.34739i | −0.252159 | − | 0.316198i | ||||
\(287\) | −6.47052 | − | 10.8435i | −0.381943 | − | 0.640069i | ||||
\(288\) | −10.8565 | + | 13.6137i | −0.639727 | + | 0.802193i | ||||
\(289\) | −5.97814 | + | 15.2321i | −0.351655 | + | 0.896003i | ||||
\(290\) | 0.0109055 | − | 0.145524i | 0.000640392 | − | 0.00854544i | ||||
\(291\) | −32.6136 | + | 4.91571i | −1.91184 | + | 0.288164i | ||||
\(292\) | −6.61275 | + | 6.13574i | −0.386982 | + | 0.359067i | ||||
\(293\) | 12.3352 | 0.720633 | 0.360316 | − | 0.932830i | \(-0.382669\pi\) | ||||
0.360316 | + | 0.932830i | \(0.382669\pi\) | |||||||
\(294\) | −37.6495 | + | 27.2903i | −2.19576 | + | 1.59160i | ||||
\(295\) | 16.7158 | 0.973233 | ||||||||
\(296\) | −26.3725 | + | 24.4701i | −1.53287 | + | 1.42230i | ||||
\(297\) | −3.68181 | + | 0.554944i | −0.213640 | + | 0.0322011i | ||||
\(298\) | 0.479715 | − | 6.40136i | 0.0277892 | − | 0.370821i | ||||
\(299\) | −8.35030 | + | 21.2762i | −0.482910 | + | 1.23044i | ||||
\(300\) | 16.2175 | − | 20.3361i | 0.936319 | − | 1.17411i | ||||
\(301\) | 12.4169 | − | 11.8586i | 0.715699 | − | 0.683520i | ||||
\(302\) | 1.72479 | + | 2.16282i | 0.0992506 | + | 0.124456i | ||||
\(303\) | 50.2709 | − | 15.5065i | 2.88799 | − | 0.890825i | ||||
\(304\) | −1.27811 | − | 3.25658i | −0.0733048 | − | 0.186778i | ||||
\(305\) | 7.08384 | + | 2.18507i | 0.405619 | + | 0.125117i | ||||
\(306\) | −0.691343 | − | 9.22534i | −0.0395215 | − | 0.527377i | ||||
\(307\) | 1.11320 | + | 4.87723i | 0.0635334 | + | 0.278358i | 0.996709 | − | 0.0810628i | \(-0.0258314\pi\) |
−0.933176 | + | 0.359421i | \(0.882974\pi\) | |||||||
\(308\) | 3.20566 | − | 5.74183i | 0.182659 | − | 0.327171i | ||||
\(309\) | 4.70763 | − | 20.6255i | 0.267807 | − | 1.17334i | ||||
\(310\) | −8.83240 | − | 1.33127i | −0.501647 | − | 0.0756111i | ||||
\(311\) | −24.7865 | + | 16.8992i | −1.40551 | + | 0.958264i | −0.406510 | + | 0.913646i | \(0.633254\pi\) |
−0.999004 | + | 0.0446173i | \(0.985793\pi\) | |||||||
\(312\) | 21.8947 | − | 37.9227i | 1.23954 | − | 2.14695i | ||||
\(313\) | 0.512483 | + | 0.887647i | 0.0289672 | + | 0.0501727i | 0.880146 | − | 0.474704i | \(-0.157445\pi\) |
−0.851178 | + | 0.524877i | \(0.824111\pi\) | |||||||
\(314\) | −21.7590 | − | 10.4786i | −1.22793 | − | 0.591341i | ||||
\(315\) | 4.20739 | − | 19.7405i | 0.237060 | − | 1.11225i | ||||
\(316\) | 34.2927 | − | 16.5145i | 1.92912 | − | 0.929013i | ||||
\(317\) | −0.386466 | − | 0.263488i | −0.0217061 | − | 0.0147989i | 0.552418 | − | 0.833567i | \(-0.313705\pi\) |
−0.574124 | + | 0.818768i | \(0.694657\pi\) | |||||||
\(318\) | −44.7057 | − | 41.4808i | −2.50697 | − | 2.32613i | ||||
\(319\) | −0.0202218 | − | 0.0187631i | −0.00113220 | − | 0.00105053i | ||||
\(320\) | 15.0277 | + | 10.2457i | 0.840072 | + | 0.572751i | ||||
\(321\) | 12.1994 | − | 5.87492i | 0.680904 | − | 0.327906i | ||||
\(322\) | −34.2473 | + | 0.493409i | −1.90853 | + | 0.0274966i | ||||
\(323\) | −1.51614 | − | 0.730136i | −0.0843605 | − | 0.0406259i | ||||
\(324\) | −0.645504 | − | 1.11805i | −0.0358613 | − | 0.0621137i | ||||
\(325\) | 5.38743 | − | 9.33130i | 0.298841 | − | 0.517608i | ||||
\(326\) | 10.4013 | − | 7.09146i | 0.576073 | − | 0.392760i | ||||
\(327\) | 32.7851 | + | 4.94156i | 1.81302 | + | 0.273269i | ||||
\(328\) | −3.96519 | + | 17.3726i | −0.218941 | + | 0.959244i | ||||
\(329\) | −12.1255 | + | 8.52549i | −0.668503 | + | 0.470026i | ||||
\(330\) | 1.59515 | + | 6.98879i | 0.0878099 | + | 0.384720i | ||||
\(331\) | −0.957891 | − | 12.7822i | −0.0526504 | − | 0.702571i | −0.959606 | − | 0.281346i | \(-0.909219\pi\) |
0.906956 | − | 0.421225i | \(-0.138400\pi\) | |||||||
\(332\) | −31.6447 | − | 9.76109i | −1.73673 | − | 0.535709i | ||||
\(333\) | 17.2757 | + | 44.0179i | 0.946705 | + | 2.41217i | ||||
\(334\) | −3.45934 | + | 1.06706i | −0.189287 | + | 0.0583872i | ||||
\(335\) | 7.66978 | + | 9.61760i | 0.419045 | + | 0.525466i | ||||
\(336\) | 12.2302 | + | 1.66359i | 0.667212 | + | 0.0907562i | ||||
\(337\) | −9.17474 | + | 11.5048i | −0.499780 | + | 0.626704i | −0.966180 | − | 0.257870i | \(-0.916979\pi\) |
0.466400 | + | 0.884574i | \(0.345551\pi\) | |||||||
\(338\) | 3.79353 | − | 9.66576i | 0.206341 | − | 0.525748i | ||||
\(339\) | 2.30538 | − | 30.7631i | 0.125211 | − | 1.67082i | ||||
\(340\) | −4.39213 | + | 0.662007i | −0.238197 | + | 0.0359024i | ||||
\(341\) | −1.23773 | + | 1.14845i | −0.0670270 | + | 0.0621919i | ||||
\(342\) | −24.4463 | −1.32191 | ||||||||
\(343\) | −17.0178 | − | 7.30720i | −0.918874 | − | 0.394552i | ||||
\(344\) | −24.2299 | −1.30639 | ||||||||
\(345\) | 17.5606 | − | 16.2938i | 0.945430 | − | 0.877231i | ||||
\(346\) | −12.9410 | + | 1.95054i | −0.695713 | + | 0.104862i | ||||
\(347\) | −2.46104 | + | 32.8403i | −0.132115 | + | 1.76296i | 0.400215 | + | 0.916421i | \(0.368936\pi\) |
−0.532330 | + | 0.846537i | \(0.678684\pi\) | |||||||
\(348\) | 0.146174 | − | 0.372446i | 0.00783577 | − | 0.0199652i | ||||
\(349\) | −5.15105 | + | 6.45921i | −0.275729 | + | 0.345754i | −0.900344 | − | 0.435180i | \(-0.856685\pi\) |
0.624614 | + | 0.780934i | \(0.285256\pi\) | |||||||
\(350\) | 15.9992 | + | 2.17626i | 0.855193 | + | 0.116326i | ||||
\(351\) | −13.9481 | − | 17.4903i | −0.744492 | − | 0.933564i | ||||
\(352\) | 2.35367 | − | 0.726011i | 0.125451 | − | 0.0386965i | ||||
\(353\) | −1.16444 | − | 2.96694i | −0.0619768 | − | 0.157914i | 0.896531 | − | 0.442982i | \(-0.146079\pi\) |
−0.958508 | + | 0.285067i | \(0.907984\pi\) | |||||||
\(354\) | 68.2566 | + | 21.0544i | 3.62780 | + | 1.11903i | ||||
\(355\) | −0.399928 | − | 5.33667i | −0.0212260 | − | 0.283241i | ||||
\(356\) | 0.0210765 | + | 0.0923423i | 0.00111705 | + | 0.00489413i | ||||
\(357\) | 4.85677 | − | 3.41481i | 0.257048 | − | 0.180731i | ||||
\(358\) | −6.69906 | + | 29.3505i | −0.354056 | + | 1.55122i | ||||
\(359\) | −4.23152 | − | 0.637799i | −0.223331 | − | 0.0336618i | 0.0364233 | − | 0.999336i | \(-0.488404\pi\) |
−0.259754 | + | 0.965675i | \(0.583642\pi\) | |||||||
\(360\) | −23.5339 | + | 16.0451i | −1.24034 | + | 0.845653i | ||||
\(361\) | 7.27661 | − | 12.6035i | 0.382979 | − | 0.663340i | ||||
\(362\) | 21.6778 | + | 37.5471i | 1.13936 | + | 1.97343i | ||||
\(363\) | −26.6480 | − | 12.8330i | −1.39866 | − | 0.673559i | ||||
\(364\) | 39.5063 | − | 0.569178i | 2.07069 | − | 0.0298330i | ||||
\(365\) | 3.52870 | − | 1.69933i | 0.184701 | − | 0.0889471i | ||||
\(366\) | 26.1736 | + | 17.8448i | 1.36812 | + | 0.932765i | ||||
\(367\) | 25.3701 | + | 23.5400i | 1.32431 | + | 1.22878i | 0.953978 | + | 0.299876i | \(0.0969454\pi\) |
0.370329 | + | 0.928901i | \(0.379245\pi\) | |||||||
\(368\) | 6.66450 | + | 6.18375i | 0.347411 | + | 0.322350i | ||||
\(369\) | 19.3518 | + | 13.1938i | 1.00741 | + | 0.686842i | ||||
\(370\) | 31.8810 | − | 15.3531i | 1.65742 | − | 0.798170i | ||||
\(371\) | 5.06328 | − | 23.7562i | 0.262872 | − | 1.23336i | ||||
\(372\) | −22.0643 | − | 10.6256i | −1.14398 | − | 0.550912i | ||||
\(373\) | −10.9041 | − | 18.8864i | −0.564590 | − | 0.977899i | −0.997088 | − | 0.0762639i | \(-0.975701\pi\) |
0.432497 | − | 0.901635i | \(-0.357632\pi\) | |||||||
\(374\) | −0.654317 | + | 1.13331i | −0.0338339 | + | 0.0586020i | ||||
\(375\) | −27.3898 | + | 18.6741i | −1.41440 | + | 0.964325i | ||||
\(376\) | 20.6839 | + | 3.11760i | 1.06669 | + | 0.160778i | ||||
\(377\) | 0.0368808 | − | 0.161585i | 0.00189946 | − | 0.00832207i | ||||
\(378\) | 16.3419 | − | 29.2708i | 0.840535 | − | 1.50553i | ||||
\(379\) | 1.33904 | + | 5.86672i | 0.0687819 | + | 0.301353i | 0.997605 | − | 0.0691708i | \(-0.0220353\pi\) |
−0.928823 | + | 0.370524i | \(0.879178\pi\) | |||||||
\(380\) | 0.877131 | + | 11.7045i | 0.0449959 | + | 0.600428i | ||||
\(381\) | −37.8012 | − | 11.6601i | −1.93661 | − | 0.597366i | ||||
\(382\) | −16.9883 | − | 43.2856i | −0.869199 | − | 2.21468i | ||||
\(383\) | −23.1787 | + | 7.14968i | −1.18438 | + | 0.365331i | −0.823518 | − | 0.567290i | \(-0.807992\pi\) |
−0.360857 | + | 0.932621i | \(0.617516\pi\) | |||||||
\(384\) | 36.0164 | + | 45.1632i | 1.83796 | + | 2.30472i | ||||
\(385\) | −2.06476 | + | 1.97192i | −0.105230 | + | 0.100498i | ||||
\(386\) | 22.9492 | − | 28.7774i | 1.16808 | − | 1.46473i | ||||
\(387\) | −11.6351 | + | 29.6459i | −0.591448 | + | 1.50698i | ||||
\(388\) | −3.13833 | + | 41.8781i | −0.159325 | + | 2.12604i | ||||
\(389\) | −20.2800 | + | 3.05672i | −1.02824 | + | 0.154982i | −0.641432 | − | 0.767180i | \(-0.721659\pi\) |
−0.386805 | + | 0.922162i | \(0.626421\pi\) | |||||||
\(390\) | −31.5725 | + | 29.2950i | −1.59874 | + | 1.48341i | ||||
\(391\) | 4.37313 | 0.221159 | ||||||||
\(392\) | 10.2453 | + | 24.0437i | 0.517465 | + | 1.21439i | ||||
\(393\) | −39.7514 | −2.00519 | ||||||||
\(394\) | −28.0868 | + | 26.0607i | −1.41499 | + | 1.31292i | ||||
\(395\) | −16.3407 | + | 2.46297i | −0.822191 | + | 0.123925i | ||||
\(396\) | −0.911522 | + | 12.1634i | −0.0458057 | + | 0.611235i | ||||
\(397\) | 1.62820 | − | 4.14859i | 0.0817171 | − | 0.208212i | −0.884175 | − | 0.467155i | \(-0.845279\pi\) |
0.965893 | + | 0.258943i | \(0.0833742\pi\) | |||||||
\(398\) | 32.3533 | − | 40.5697i | 1.62172 | − | 2.03358i | ||||
\(399\) | −8.03931 | − | 13.4725i | −0.402469 | − | 0.674468i | ||||
\(400\) | −2.67221 | − | 3.35084i | −0.133610 | − | 0.167542i | ||||
\(401\) | −29.9897 | + | 9.25061i | −1.49762 | + | 0.461954i | −0.931921 | − | 0.362661i | \(-0.881868\pi\) |
−0.565695 | + | 0.824614i | \(0.691392\pi\) | |||||||
\(402\) | 19.2046 | + | 48.9325i | 0.957837 | + | 2.44053i | ||||
\(403\) | −9.69395 | − | 2.99019i | −0.482890 | − | 0.148952i | ||||
\(404\) | −5.00581 | − | 66.7979i | −0.249049 | − | 3.32332i | ||||
\(405\) | 0.124726 | + | 0.546460i | 0.00619769 | + | 0.0271538i | ||||
\(406\) | 0.245036 | − | 0.0405516i | 0.0121609 | − | 0.00201254i | ||||
\(407\) | 1.48843 | − | 6.52125i | 0.0737788 | − | 0.323246i | ||||
\(408\) | −8.28476 | − | 1.24873i | −0.410157 | − | 0.0618212i | ||||
\(409\) | 11.4790 | − | 7.82622i | 0.567598 | − | 0.386982i | −0.245248 | − | 0.969460i | \(-0.578869\pi\) |
0.812846 | + | 0.582479i | \(0.197917\pi\) | |||||||
\(410\) | 8.76333 | − | 15.1785i | 0.432790 | − | 0.749614i | ||||
\(411\) | 3.47669 | + | 6.02180i | 0.171492 | + | 0.297033i | ||||
\(412\) | −24.2699 | − | 11.6878i | −1.19569 | − | 0.575814i | ||||
\(413\) | 6.72952 | + | 27.6422i | 0.331138 | + | 1.36018i | ||||
\(414\) | 57.2382 | − | 27.5644i | 2.81310 | − | 1.35472i | ||||
\(415\) | 11.8795 | + | 8.09934i | 0.583144 | + | 0.397581i | ||||
\(416\) | 10.8483 | + | 10.0657i | 0.531881 | + | 0.493513i | ||||
\(417\) | −5.52861 | − | 5.12980i | −0.270737 | − | 0.251207i | ||||
\(418\) | 2.85719 | + | 1.94800i | 0.139750 | + | 0.0952797i | ||||
\(419\) | 12.4309 | − | 5.98640i | 0.607289 | − | 0.292455i | −0.104856 | − | 0.994487i | \(-0.533438\pi\) |
0.712145 | + | 0.702033i | \(0.247724\pi\) | |||||||
\(420\) | −37.5647 | − | 17.4281i | −1.83297 | − | 0.850403i | ||||
\(421\) | −7.73392 | − | 3.72446i | −0.376928 | − | 0.181519i | 0.235821 | − | 0.971797i | \(-0.424222\pi\) |
−0.612749 | + | 0.790277i | \(0.709936\pi\) | |||||||
\(422\) | −32.6717 | − | 56.5890i | −1.59043 | − | 2.75471i | ||||
\(423\) | 13.7468 | − | 23.8102i | 0.668394 | − | 1.15769i | ||||
\(424\) | −28.3212 | + | 19.3091i | −1.37540 | + | 0.937732i | ||||
\(425\) | −2.03856 | − | 0.307263i | −0.0988845 | − | 0.0149044i | ||||
\(426\) | 5.08874 | − | 22.2952i | 0.246550 | − | 1.08021i | ||||
\(427\) | −0.761516 | + | 12.5939i | −0.0368523 | + | 0.609461i | ||||
\(428\) | −3.83642 | − | 16.8085i | −0.185440 | − | 0.812467i | ||||
\(429\) | 0.608422 | + | 8.11883i | 0.0293749 | + | 0.391981i | ||||
\(430\) | 22.7731 | + | 7.02456i | 1.09822 | + | 0.338755i | ||||
\(431\) | −5.47589 | − | 13.9523i | −0.263764 | − | 0.672061i | 0.736225 | − | 0.676737i | \(-0.236607\pi\) |
−0.999989 | + | 0.00467656i | \(0.998511\pi\) | |||||||
\(432\) | −8.50310 | + | 2.62286i | −0.409106 | + | 0.126192i | ||||
\(433\) | −7.66601 | − | 9.61287i | −0.368405 | − | 0.461965i | 0.562730 | − | 0.826641i | \(-0.309751\pi\) |
−0.931135 | + | 0.364676i | \(0.881180\pi\) | |||||||
\(434\) | −1.35432 | − | 15.1417i | −0.0650096 | − | 0.726824i | ||||
\(435\) | −0.108308 | + | 0.135814i | −0.00519296 | + | 0.00651177i | ||||
\(436\) | 15.4234 | − | 39.2981i | 0.738646 | − | 1.88204i | ||||
\(437\) | 0.863582 | − | 11.5237i | 0.0413107 | − | 0.551254i | ||||
\(438\) | 16.5493 | − | 2.49441i | 0.790756 | − | 0.119187i | ||||
\(439\) | 2.96251 | − | 2.74881i | 0.141393 | − | 0.131193i | −0.606306 | − | 0.795232i | \(-0.707349\pi\) |
0.747699 | + | 0.664038i | \(0.231159\pi\) | |||||||
\(440\) | 4.02910 | 0.192080 | ||||||||
\(441\) | 34.3377 | − | 0.989631i | 1.63513 | − | 0.0471253i | ||||
\(442\) | −7.86254 | −0.373983 | ||||||||
\(443\) | 9.09794 | − | 8.44165i | 0.432256 | − | 0.401075i | −0.433810 | − | 0.901004i | \(-0.642831\pi\) |
0.866066 | + | 0.499929i | \(0.166641\pi\) | |||||||
\(444\) | 95.9331 | − | 14.4596i | 4.55278 | − | 0.686221i | ||||
\(445\) | 0.00307313 | − | 0.0410081i | 0.000145680 | − | 0.00194397i | ||||
\(446\) | 1.97184 | − | 5.02417i | 0.0933693 | − | 0.237901i | ||||
\(447\) | −4.76429 | + | 5.97423i | −0.225343 | + | 0.282572i | ||||
\(448\) | −10.8929 | + | 28.9753i | −0.514642 | + | 1.36895i | ||||
\(449\) | 4.20919 | + | 5.27815i | 0.198644 | + | 0.249092i | 0.871170 | − | 0.490982i | \(-0.163362\pi\) |
−0.672526 | + | 0.740074i | \(0.734791\pi\) | |||||||
\(450\) | −28.6186 | + | 8.82766i | −1.34909 | + | 0.416140i | ||||
\(451\) | −1.21041 | − | 3.08408i | −0.0569960 | − | 0.145224i | ||||
\(452\) | −37.5351 | − | 11.5780i | −1.76550 | − | 0.544585i | ||||
\(453\) | −0.246084 | − | 3.28377i | −0.0115620 | − | 0.154285i | ||||
\(454\) | 13.5771 | + | 59.4852i | 0.637205 | + | 2.79178i | ||||
\(455\) | −16.4632 | − | 4.81961i | −0.771805 | − | 0.225947i | ||||
\(456\) | −4.92656 | + | 21.5847i | −0.230707 | + | 1.01080i | ||||
\(457\) | 4.90668 | + | 0.739563i | 0.229525 | + | 0.0345953i | 0.262797 | − | 0.964851i | \(-0.415355\pi\) |
−0.0332728 | + | 0.999446i | \(0.510593\pi\) | |||||||
\(458\) | −14.7429 | + | 10.0515i | −0.688889 | + | 0.469676i | ||||
\(459\) | −2.14015 | + | 3.70684i | −0.0998934 | + | 0.173021i | ||||
\(460\) | −15.2511 | − | 26.4157i | −0.711086 | − | 1.23164i | ||||
\(461\) | 35.4998 | + | 17.0958i | 1.65339 | + | 0.796231i | 0.999204 | + | 0.0398990i | \(0.0127036\pi\) |
0.654188 | + | 0.756332i | \(0.273011\pi\) | |||||||
\(462\) | −10.9149 | + | 5.45139i | −0.507805 | + | 0.253622i | ||||
\(463\) | 6.40555 | − | 3.08475i | 0.297691 | − | 0.143360i | −0.279076 | − | 0.960269i | \(-0.590028\pi\) |
0.576767 | + | 0.816909i | \(0.304314\pi\) | |||||||
\(464\) | −0.0544709 | − | 0.0371376i | −0.00252875 | − | 0.00172407i | ||||
\(465\) | 7.79421 | + | 7.23197i | 0.361448 | + | 0.335375i | ||||
\(466\) | 10.2579 | + | 9.51797i | 0.475190 | + | 0.440912i | ||||
\(467\) | −9.27934 | − | 6.32655i | −0.429397 | − | 0.292758i | 0.329271 | − | 0.944235i | \(-0.393197\pi\) |
−0.758668 | + | 0.651478i | \(0.774149\pi\) | |||||||
\(468\) | −66.0278 | + | 31.7973i | −3.05213 | + | 1.46983i | ||||
\(469\) | −12.8164 | + | 16.5550i | −0.591808 | + | 0.764441i | ||||
\(470\) | −18.5365 | − | 8.92669i | −0.855023 | − | 0.411757i | ||||
\(471\) | 14.3741 | + | 24.8967i | 0.662323 | + | 1.14718i | ||||
\(472\) | 20.0738 | − | 34.7688i | 0.923970 | − | 1.60036i | ||||
\(473\) | 3.72219 | − | 2.53775i | 0.171147 | − | 0.116686i | ||||
\(474\) | −69.8271 | − | 10.5247i | −3.20727 | − | 0.483417i | ||||
\(475\) | −1.21224 | + | 5.31115i | −0.0556212 | + | 0.243692i | ||||
\(476\) | −2.86293 | − | 6.99655i | −0.131222 | − | 0.320686i | ||||
\(477\) | 10.0253 | + | 43.9238i | 0.459028 | + | 2.01113i | ||||
\(478\) | 1.06402 | + | 14.1984i | 0.0486673 | + | 0.649419i | ||||
\(479\) | −23.9595 | − | 7.39053i | −1.09474 | − | 0.337682i | −0.305763 | − | 0.952108i | \(-0.598912\pi\) |
−0.788975 | + | 0.614426i | \(0.789388\pi\) | |||||||
\(480\) | −5.66664 | − | 14.4384i | −0.258646 | − | 0.659018i | ||||
\(481\) | 38.4031 | − | 11.8458i | 1.75103 | − | 0.540122i | ||||
\(482\) | −10.7541 | − | 13.4853i | −0.489838 | − | 0.614237i | ||||
\(483\) | 34.0140 | + | 22.4795i | 1.54769 | + | 1.02285i | ||||
\(484\) | −23.4807 | + | 29.4439i | −1.06731 | + | 1.33836i | ||||
\(485\) | 6.66130 | − | 16.9727i | 0.302474 | − | 0.770692i | ||||
\(486\) | 2.66167 | − | 35.5175i | 0.120736 | − | 1.61111i | ||||
\(487\) | 10.1960 | − | 1.53679i | 0.462023 | − | 0.0696388i | 0.0860937 | − | 0.996287i | \(-0.472562\pi\) |
0.375930 | + | 0.926648i | \(0.377323\pi\) | |||||||
\(488\) | 13.0518 | − | 12.1103i | 0.590827 | − | 0.548208i | ||||
\(489\) | −14.9852 | −0.677652 | ||||||||
\(490\) | −2.65871 | − | 25.5682i | −0.120108 | − | 1.15506i | ||||
\(491\) | −10.2368 | −0.461979 | −0.230989 | − | 0.972956i | \(-0.574196\pi\) | ||||
−0.230989 | + | 0.972956i | \(0.574196\pi\) | |||||||
\(492\) | 35.2255 | − | 32.6845i | 1.58809 | − | 1.47353i | ||||
\(493\) | −0.0313575 | + | 0.00472638i | −0.00141227 | + | 0.000212865i | ||||
\(494\) | −1.55265 | + | 20.7187i | −0.0698571 | + | 0.932178i | ||||
\(495\) | 1.93476 | − | 4.92969i | 0.0869611 | − | 0.221573i | ||||
\(496\) | −2.51591 | + | 3.15485i | −0.112968 | + | 0.141657i | ||||
\(497\) | 8.66400 | − | 2.80980i | 0.388634 | − | 0.126037i | ||||
\(498\) | 38.3068 | + | 48.0353i | 1.71657 | + | 2.15251i | ||||
\(499\) | 23.2549 | − | 7.17318i | 1.04103 | − | 0.321116i | 0.273328 | − | 0.961921i | \(-0.411876\pi\) |
0.767704 | + | 0.640805i | \(0.221399\pi\) | |||||||
\(500\) | 15.4209 | + | 39.2917i | 0.689642 | + | 1.75718i | ||||
\(501\) | 4.11788 | + | 1.27020i | 0.183973 | + | 0.0567483i | ||||
\(502\) | 0.523221 | + | 6.98190i | 0.0233525 | + | 0.311617i | ||||
\(503\) | −3.01324 | − | 13.2019i | −0.134354 | − | 0.588642i | −0.996617 | − | 0.0821824i | \(-0.973811\pi\) |
0.862264 | − | 0.506460i | \(-0.169046\pi\) | |||||||
\(504\) | −36.0074 | − | 32.4574i | −1.60390 | − | 1.44577i | ||||
\(505\) | −6.47153 | + | 28.3536i | −0.287980 | + | 1.26172i | ||||
\(506\) | −8.88623 | − | 1.33938i | −0.395041 | − | 0.0595429i | ||||
\(507\) | −10.2125 | + | 6.96276i | −0.453553 | + | 0.309227i | ||||
\(508\) | −25.1848 | + | 43.6213i | −1.11739 | + | 1.93538i | ||||
\(509\) | −21.5379 | − | 37.3047i | −0.954650 | − | 1.65350i | −0.735166 | − | 0.677887i | \(-0.762896\pi\) |
−0.219484 | − | 0.975616i | \(-0.570437\pi\) | |||||||
\(510\) | 7.42460 | + | 3.57550i | 0.328767 | + | 0.158326i | ||||
\(511\) | 4.23070 | + | 5.15112i | 0.187155 | + | 0.227872i | ||||
\(512\) | 16.4650 | − | 7.92911i | 0.727656 | − | 0.350421i | ||||
\(513\) | 9.34532 | + | 6.37153i | 0.412606 | + | 0.281310i | ||||
\(514\) | −45.1833 | − | 41.9240i | −1.99295 | − | 1.84919i | ||||
\(515\) | 8.57333 | + | 7.95489i | 0.377786 | + | 0.350534i | ||||
\(516\) | 53.9867 | + | 36.8075i | 2.37663 | + | 1.62036i | ||||
\(517\) | −3.50398 | + | 1.68743i | −0.154105 | + | 0.0742131i | ||||
\(518\) | 38.2235 | + | 46.5393i | 1.67944 | + | 2.04482i | ||||
\(519\) | 14.0358 | + | 6.75928i | 0.616103 | + | 0.296700i | ||||
\(520\) | 12.1038 | + | 20.9644i | 0.530788 | + | 0.919352i | ||||
\(521\) | −7.71291 | + | 13.3592i | −0.337909 | + | 0.585275i | −0.984039 | − | 0.177952i | \(-0.943053\pi\) |
0.646130 | + | 0.763227i | \(0.276386\pi\) | |||||||
\(522\) | −0.380634 | + | 0.259512i | −0.0166599 | + | 0.0113585i | ||||
\(523\) | −14.3006 | − | 2.15547i | −0.625322 | − | 0.0942521i | −0.171265 | − | 0.985225i | \(-0.554786\pi\) |
−0.454057 | + | 0.890973i | \(0.650024\pi\) | |||||||
\(524\) | −11.2629 | + | 49.3459i | −0.492022 | + | 2.15569i | ||||
\(525\) | −14.2763 | − | 12.8688i | −0.623070 | − | 0.561640i | ||||
\(526\) | 2.60421 | + | 11.4098i | 0.113549 | + | 0.497491i | ||||
\(527\) | 0.145051 | + | 1.93557i | 0.00631853 | + | 0.0843150i | ||||
\(528\) | 3.09459 | + | 0.954554i | 0.134675 | + | 0.0415416i | ||||
\(529\) | 2.56872 | + | 6.54500i | 0.111684 | + | 0.284565i | ||||
\(530\) | 32.2163 | − | 9.93742i | 1.39939 | − | 0.431654i | ||||
\(531\) | −32.9010 | − | 41.2566i | −1.42778 | − | 1.79038i | ||||
\(532\) | −19.0021 | + | 6.16251i | −0.823844 | + | 0.267179i | ||||
\(533\) | 12.4111 | − | 15.5630i | 0.537583 | − | 0.674107i | ||||
\(534\) | 0.0642003 | − | 0.163580i | 0.00277822 | − | 0.00707878i | ||||
\(535\) | −0.559381 | + | 7.46443i | −0.0241842 | + | 0.322715i | ||||
\(536\) | 29.2150 | − | 4.40346i | 1.26190 | − | 0.190200i | ||||
\(537\) | 26.2699 | − | 24.3749i | 1.13363 | − | 1.05186i | ||||
\(538\) | 38.1189 | 1.64342 | ||||||||
\(539\) | −4.09211 | − | 2.62053i | −0.176260 | − | 0.112874i | ||||
\(540\) | 29.8546 | 1.28474 | ||||||||
\(541\) | −6.81561 | + | 6.32396i | −0.293026 | + | 0.271888i | −0.812962 | − | 0.582317i | \(-0.802146\pi\) |
0.519936 | + | 0.854205i | \(0.325956\pi\) | |||||||
\(542\) | 4.08917 | − | 0.616343i | 0.175645 | − | 0.0264742i | ||||
\(543\) | 3.85675 | − | 51.4648i | 0.165509 | − | 2.20857i | ||||
\(544\) | 1.03446 | − | 2.63576i | 0.0443521 | − | 0.113007i | ||||
\(545\) | −11.4279 | + | 14.3302i | −0.489519 | + | 0.613837i | ||||
\(546\) | −61.1544 | − | 40.4163i | −2.61717 | − | 1.72966i | ||||
\(547\) | −0.922752 | − | 1.15709i | −0.0394540 | − | 0.0494738i | 0.761713 | − | 0.647915i | \(-0.224359\pi\) |
−0.801167 | + | 0.598441i | \(0.795787\pi\) | |||||||
\(548\) | 8.46031 | − | 2.60966i | 0.361406 | − | 0.111479i | ||||
\(549\) | −8.54979 | − | 21.7845i | −0.364896 | − | 0.929741i | ||||
\(550\) | 4.04825 | + | 1.24872i | 0.172618 | + | 0.0532456i | ||||
\(551\) | 0.00626224 | + | 0.0835638i | 0.000266780 | + | 0.00355994i | ||||
\(552\) | −12.8028 | − | 56.0929i | −0.544925 | − | 2.38747i | ||||
\(553\) | −10.6514 | − | 26.0303i | −0.452944 | − | 1.10692i | ||||
\(554\) | −8.50222 | + | 37.2507i | −0.361225 | + | 1.58263i | ||||
\(555\) | −41.6510 | − | 6.27788i | −1.76799 | − | 0.266481i | ||||
\(556\) | −7.93439 | + | 5.40957i | −0.336493 | + | 0.229417i | ||||
\(557\) | −7.54680 | + | 13.0714i | −0.319768 | + | 0.553855i | −0.980440 | − | 0.196820i | \(-0.936938\pi\) |
0.660671 | + | 0.750675i | \(0.270272\pi\) | |||||||
\(558\) | 14.0987 | + | 24.4197i | 0.596846 | + | 1.03377i | ||||
\(559\) | 24.3864 | + | 11.7439i | 1.03144 | + | 0.496713i | ||||
\(560\) | −4.17700 | + | 5.39545i | −0.176511 | + | 0.227999i | ||||
\(561\) | 1.40349 | − | 0.675884i | 0.0592553 | − | 0.0285358i | ||||
\(562\) | 7.53922 | + | 5.14015i | 0.318023 | + | 0.216824i | ||||
\(563\) | 12.2577 | + | 11.3734i | 0.516598 | + | 0.479333i | 0.894848 | − | 0.446370i | \(-0.147284\pi\) |
−0.378250 | + | 0.925704i | \(0.623474\pi\) | |||||||
\(564\) | −41.3500 | − | 38.3672i | −1.74115 | − | 1.61555i | ||||
\(565\) | 14.0908 | + | 9.60696i | 0.592805 | + | 0.404168i | ||||
\(566\) | −63.7342 | + | 30.6928i | −2.67895 | + | 1.29011i | ||||
\(567\) | −0.853443 | + | 0.426250i | −0.0358413 | + | 0.0179008i | ||||
\(568\) | −11.5805 | − | 5.57688i | −0.485907 | − | 0.234001i | ||||
\(569\) | 14.4235 | + | 24.9822i | 0.604664 | + | 1.04731i | 0.992104 | + | 0.125415i | \(0.0400261\pi\) |
−0.387440 | + | 0.921895i | \(0.626641\pi\) | |||||||
\(570\) | 10.8880 | − | 18.8586i | 0.456049 | − | 0.789900i | ||||
\(571\) | 11.3766 | − | 7.75642i | 0.476095 | − | 0.324596i | −0.301386 | − | 0.953502i | \(-0.597449\pi\) |
0.777481 | + | 0.628906i | \(0.216497\pi\) | |||||||
\(572\) | 10.2508 | + | 1.54506i | 0.428608 | + | 0.0646023i | ||||
\(573\) | −12.3170 | + | 53.9642i | −0.514549 | + | 2.25439i | ||||
\(574\) | 28.6280 | + | 8.38088i | 1.19491 | + | 0.349811i | ||||
\(575\) | −3.15028 | − | 13.8023i | −0.131376 | − | 0.575595i | ||||
\(576\) | −4.29075 | − | 57.2561i | −0.178781 | − | 2.38567i | ||||
\(577\) | 20.8094 | + | 6.41885i | 0.866307 | + | 0.267220i | 0.695887 | − | 0.718151i | \(-0.255011\pi\) |
0.170420 | + | 0.985372i | \(0.445488\pi\) | |||||||
\(578\) | −14.1222 | − | 35.9828i | −0.587407 | − | 1.49669i | ||||
\(579\) | −41.8680 | + | 12.9146i | −1.73998 | + | 0.536711i | ||||
\(580\) | 0.137907 | + | 0.172930i | 0.00572628 | + | 0.00718052i | ||||
\(581\) | −8.61098 | + | 22.9053i | −0.357244 | + | 0.950272i | ||||
\(582\) | 48.5784 | − | 60.9154i | 2.01364 | − | 2.52502i | ||||
\(583\) | 2.32834 | − | 5.93251i | 0.0964299 | − | 0.245699i | ||||
\(584\) | 0.702961 | − | 9.38037i | 0.0290887 | − | 0.388162i | ||||
\(585\) | 31.4627 | − | 4.74224i | 1.30082 | − | 0.196067i | ||||
\(586\) | −21.3609 | + | 19.8200i | −0.882410 | + | 0.818757i | ||||
\(587\) | 25.3416 | 1.04596 | 0.522979 | − | 0.852345i | \(-0.324820\pi\) | ||||
0.522979 | + | 0.852345i | \(0.324820\pi\) | |||||||
\(588\) | 13.6971 | − | 69.1353i | 0.564857 | − | 2.85109i | ||||
\(589\) | 5.12910 | 0.211341 | ||||||||
\(590\) | −28.9467 | + | 26.8586i | −1.19172 | + | 1.10575i | ||||
\(591\) | 45.0993 | − | 6.79762i | 1.85514 | − | 0.279617i | ||||
\(592\) | 1.19461 | − | 15.9410i | 0.0490984 | − | 0.655172i | ||||
\(593\) | −0.851564 | + | 2.16975i | −0.0349696 | + | 0.0891010i | −0.947292 | − | 0.320372i | \(-0.896192\pi\) |
0.912322 | + | 0.409473i | \(0.134287\pi\) | |||||||
\(594\) | 5.48410 | − | 6.87685i | 0.225015 | − | 0.282160i | ||||
\(595\) | 0.292399 | + | 3.26910i | 0.0119872 | + | 0.134020i | ||||
\(596\) | 6.06632 | + | 7.60692i | 0.248486 | + | 0.311592i | ||||
\(597\) | −59.0247 | + | 18.2067i | −2.41572 | + | 0.745150i | ||||
\(598\) | −19.7260 | − | 50.2610i | −0.806656 | − | 2.05533i | ||||
\(599\) | 19.4122 | + | 5.98787i | 0.793160 | + | 0.244658i | 0.664752 | − | 0.747064i | \(-0.268537\pi\) |
0.128408 | + | 0.991721i | \(0.459013\pi\) | |||||||
\(600\) | 2.02693 | + | 27.0475i | 0.0827491 | + | 1.10421i | ||||
\(601\) | −5.83473 | − | 25.5636i | −0.238004 | − | 1.04276i | −0.942802 | − | 0.333354i | \(-0.891820\pi\) |
0.704798 | − | 0.709408i | \(-0.251038\pi\) | |||||||
\(602\) | −2.44812 | + | 40.4867i | −0.0997777 | + | 1.65012i | ||||
\(603\) | 8.64125 | − | 37.8598i | 0.351899 | − | 1.54177i | ||||
\(604\) | −4.14607 | − | 0.624920i | −0.168701 | − | 0.0254276i | ||||
\(605\) | 13.5097 | − | 9.21074i | 0.549246 | − | 0.374470i | ||||
\(606\) | −62.1383 | + | 107.627i | −2.52420 | + | 4.37203i | ||||
\(607\) | −9.93633 | − | 17.2102i | −0.403303 | − | 0.698541i | 0.590819 | − | 0.806804i | \(-0.298805\pi\) |
−0.994122 | + | 0.108263i | \(0.965471\pi\) | |||||||
\(608\) | −6.74126 | − | 3.24642i | −0.273394 | − | 0.131660i | ||||
\(609\) | −0.268192 | − | 0.124427i | −0.0108677 | − | 0.00504204i | ||||
\(610\) | −15.7780 | + | 7.59827i | −0.638832 | + | 0.307645i | ||||
\(611\) | −19.3065 | − | 13.1629i | −0.781056 | − | 0.532515i | ||||
\(612\) | 10.2788 | + | 9.53729i | 0.415494 | + | 0.385522i | ||||
\(613\) | −14.5834 | − | 13.5314i | −0.589018 | − | 0.546529i | 0.328357 | − | 0.944554i | \(-0.393505\pi\) |
−0.917375 | + | 0.398025i | \(0.869696\pi\) | |||||||
\(614\) | −9.76434 | − | 6.65721i | −0.394057 | − | 0.268663i | ||||
\(615\) | −18.7971 | + | 9.05219i | −0.757971 | + | 0.365019i | ||||
\(616\) | 1.62205 | + | 6.66273i | 0.0653543 | + | 0.268449i | ||||
\(617\) | 19.5919 | + | 9.43496i | 0.788740 | + | 0.379837i | 0.784480 | − | 0.620154i | \(-0.212930\pi\) |
0.00425965 | + | 0.999991i | \(0.498644\pi\) | |||||||
\(618\) | 24.9884 | + | 43.2811i | 1.00518 | + | 1.74102i | ||||
\(619\) | −13.2441 | + | 22.9395i | −0.532327 | + | 0.922017i | 0.466961 | + | 0.884278i | \(0.345349\pi\) |
−0.999288 | + | 0.0377391i | \(0.987984\pi\) | |||||||
\(620\) | 11.1859 | − | 7.62640i | 0.449235 | − | 0.306284i | ||||
\(621\) | −29.0652 | − | 4.38087i | −1.16635 | − | 0.175798i | ||||
\(622\) | 15.7695 | − | 69.0906i | 0.632299 | − | 2.77028i | ||||
\(623\) | 0.0690503 | − | 0.0114273i | 0.00276644 | − | 0.000457825i | ||||
\(624\) | 4.32967 | + | 18.9695i | 0.173326 | + | 0.759389i | ||||
\(625\) | −0.404211 | − | 5.39382i | −0.0161685 | − | 0.215753i | ||||
\(626\) | −2.31372 | − | 0.713687i | −0.0924747 | − | 0.0285247i | ||||
\(627\) | −1.50388 | − | 3.83182i | −0.0600591 | − | 0.153028i | ||||
\(628\) | 34.9785 | − | 10.7894i | 1.39579 | − | 0.430545i | ||||
\(629\) | −4.79426 | − | 6.01181i | −0.191160 | − | 0.239707i | ||||
\(630\) | 24.4327 | + | 40.9448i | 0.973420 | + | 1.63128i | ||||
\(631\) | 0.0524457 | − | 0.0657648i | 0.00208783 | − | 0.00261806i | −0.780786 | − | 0.624798i | \(-0.785181\pi\) |
0.782874 | + | 0.622180i | \(0.213753\pi\) | |||||||
\(632\) | −14.5004 | + | 36.9463i | −0.576793 | + | 1.46965i | ||||
\(633\) | −5.81270 | + | 77.5650i | −0.231034 | + | 3.08293i | ||||
\(634\) | 1.09261 | − | 0.164684i | 0.0433930 | − | 0.00654044i | ||||
\(635\) | 16.0310 | − | 14.8746i | 0.636170 | − | 0.590280i | ||||
\(636\) | 92.4349 | 3.66528 | ||||||||
\(637\) | 1.34215 | − | 29.1647i | 0.0531780 | − | 1.15555i | ||||
\(638\) | 0.0651661 | 0.00257995 | ||||||||
\(639\) | −12.3844 | + | 11.4910i | −0.489918 | + | 0.454578i | ||||
\(640\) | −31.5774 | + | 4.75953i | −1.24821 | + | 0.188137i | ||||
\(641\) | 2.47475 | − | 33.0232i | 0.0977466 | − | 1.30434i | −0.705508 | − | 0.708702i | \(-0.749281\pi\) |
0.803255 | − | 0.595635i | \(-0.203100\pi\) | |||||||
\(642\) | −11.6859 | + | 29.7753i | −0.461207 | + | 1.17514i | ||||
\(643\) | −5.03595 | + | 6.31488i | −0.198598 | + | 0.249034i | −0.871151 | − | 0.491014i | \(-0.836626\pi\) |
0.672553 | + | 0.740049i | \(0.265198\pi\) | |||||||
\(644\) | 37.5425 | − | 35.8545i | 1.47938 | − | 1.41287i | ||||
\(645\) | −17.6876 | − | 22.1795i | −0.696447 | − | 0.873317i | ||||
\(646\) | 3.79867 | − | 1.17173i | 0.149457 | − | 0.0461012i | ||||
\(647\) | 10.3838 | + | 26.4574i | 0.408228 | + | 1.04015i | 0.976156 | + | 0.217070i | \(0.0696501\pi\) |
−0.567928 | + | 0.823079i | \(0.692255\pi\) | |||||||
\(648\) | 1.28641 | + | 0.396806i | 0.0505351 | + | 0.0155880i | ||||
\(649\) | 0.557822 | + | 7.44361i | 0.0218964 | + | 0.292187i | ||||
\(650\) | 5.66395 | + | 24.8154i | 0.222158 | + | 0.973339i | ||||
\(651\) | −8.82135 | + | 15.8004i | −0.345736 | + | 0.619267i | ||||
\(652\) | −4.24579 | + | 18.6020i | −0.166278 | + | 0.728512i | ||||
\(653\) | 16.0697 | + | 2.42212i | 0.628858 | + | 0.0947851i | 0.455735 | − | 0.890115i | \(-0.349376\pi\) |
0.173122 | + | 0.984900i | \(0.444614\pi\) | |||||||
\(654\) | −64.7138 | + | 44.1211i | −2.53051 | + | 1.72527i | ||||
\(655\) | 10.9877 | − | 19.0312i | 0.429324 | − | 0.743612i | ||||
\(656\) | −3.95894 | − | 6.85708i | −0.154571 | − | 0.267724i | ||||
\(657\) | −11.1395 | − | 5.36452i | −0.434595 | − | 0.209290i | ||||
\(658\) | 7.29916 | − | 34.2466i | 0.284551 | − | 1.33507i | ||||
\(659\) | −16.7515 | + | 8.06711i | −0.652547 | + | 0.314250i | −0.730707 | − | 0.682691i | \(-0.760810\pi\) |
0.0781604 | + | 0.996941i | \(0.475095\pi\) | |||||||
\(660\) | −8.97723 | − | 6.12058i | −0.349438 | − | 0.238243i | ||||
\(661\) | −18.5238 | − | 17.1876i | −0.720494 | − | 0.668520i | 0.232126 | − | 0.972686i | \(-0.425432\pi\) |
−0.952619 | + | 0.304165i | \(0.901622\pi\) | |||||||
\(662\) | 22.1969 | + | 20.5957i | 0.862706 | + | 0.800474i | ||||
\(663\) | 7.73302 | + | 5.27229i | 0.300326 | + | 0.204759i | ||||
\(664\) | 31.1125 | − | 14.9830i | 1.20740 | − | 0.581453i | ||||
\(665\) | 8.67218 | − | 0.124942i | 0.336293 | − | 0.00484506i | ||||
\(666\) | −100.643 | − | 48.4673i | −3.89985 | − | 1.87807i | ||||
\(667\) | −0.108885 | − | 0.188594i | −0.00421603 | − | 0.00730237i | ||||
\(668\) | 2.74351 | − | 4.75190i | 0.106150 | − | 0.183857i | ||||
\(669\) | −5.30835 | + | 3.61917i | −0.205233 | + | 0.139925i | ||||
\(670\) | −28.7351 | − | 4.33111i | −1.11013 | − | 0.167326i | ||||
\(671\) | −0.736627 | + | 3.22737i | −0.0284372 | + | 0.124591i | ||||
\(672\) | 21.5947 | − | 15.1833i | 0.833035 | − | 0.585709i | ||||
\(673\) | −10.4442 | − | 45.7591i | −0.402595 | − | 1.76389i | −0.616823 | − | 0.787102i | \(-0.711581\pi\) |
0.214228 | − | 0.976784i | \(-0.431276\pi\) | |||||||
\(674\) | −2.59775 | − | 34.6645i | −0.100061 | − | 1.33523i | ||||
\(675\) | 13.2411 | + | 4.08433i | 0.509649 | + | 0.157206i | ||||
\(676\) | 5.74978 | + | 14.6502i | 0.221145 | + | 0.563469i | ||||
\(677\) | −6.70509 | + | 2.06825i | −0.257698 | + | 0.0794892i | −0.420912 | − | 0.907101i | \(-0.638290\pi\) |
0.163214 | + | 0.986591i | \(0.447814\pi\) | |||||||
\(678\) | 45.4373 | + | 56.9766i | 1.74501 | + | 2.18817i | ||||
\(679\) | 30.7487 | + | 4.18254i | 1.18003 | + | 0.160511i | ||||
\(680\) | 2.88783 | − | 3.62122i | 0.110743 | − | 0.138867i | ||||
\(681\) | 26.5348 | − | 67.6095i | 1.01682 | − | 2.59080i | ||||
\(682\) | 0.298074 | − | 3.97752i | 0.0114138 | − | 0.152307i | ||||
\(683\) | 44.3844 | − | 6.68988i | 1.69832 | − | 0.255981i | 0.772794 | − | 0.634657i | \(-0.218859\pi\) |
0.925529 | + | 0.378676i | \(0.123621\pi\) | |||||||
\(684\) | 27.1616 | − | 25.2023i | 1.03855 | − | 0.963635i | ||||
\(685\) | −3.84397 | −0.146870 | ||||||||
\(686\) | 41.2107 | − | 14.6899i | 1.57343 | − | 0.560865i | ||||
\(687\) | 21.2401 | 0.810361 | ||||||||
\(688\) | 7.89227 | − | 7.32296i | 0.300890 | − | 0.279185i | ||||
\(689\) | 37.8629 | − | 5.70692i | 1.44246 | − | 0.217416i | ||||
\(690\) | −4.22899 | + | 56.4319i | −0.160995 | + | 2.14833i | ||||
\(691\) | −18.5412 | + | 47.2421i | −0.705339 | + | 1.79717i | −0.109631 | + | 0.993972i | \(0.534967\pi\) |
−0.595708 | + | 0.803201i | \(0.703128\pi\) | |||||||
\(692\) | 12.3675 | − | 15.5084i | 0.470143 | − | 0.589541i | ||||
\(693\) | 8.93091 | + | 1.21481i | 0.339257 | + | 0.0461468i | ||||
\(694\) | −48.5053 | − | 60.8237i | −1.84123 | − | 2.30884i | ||||
\(695\) | 3.98409 | − | 1.22893i | 0.151125 | − | 0.0466159i | ||||
\(696\) | 0.152426 | + | 0.388376i | 0.00577770 | + | 0.0147213i | ||||
\(697\) | −3.63942 | − | 1.12261i | −0.137853 | − | 0.0425220i | ||||
\(698\) | −1.45847 | − | 19.4620i | −0.0552041 | − | 0.736647i | ||||
\(699\) | −3.70661 | − | 16.2397i | −0.140197 | − | 0.614243i | ||||
\(700\) | −20.0198 | + | 14.0760i | −0.756678 | + | 0.532022i | ||||
\(701\) | 2.81197 | − | 12.3201i | 0.106207 | − | 0.465322i | −0.893656 | − | 0.448753i | \(-0.851868\pi\) |
0.999863 | − | 0.0165696i | \(-0.00527450\pi\) | |||||||
\(702\) | 52.2568 | + | 7.87645i | 1.97231 | + | 0.297277i | ||||
\(703\) | −16.7885 | + | 11.4462i | −0.633192 | + | 0.431703i | ||||
\(704\) | −4.06095 | + | 7.03377i | −0.153053 | + | 0.265095i | ||||
\(705\) | 12.2453 | + | 21.2094i | 0.461183 | + | 0.798792i | ||||
\(706\) | 6.78367 | + | 3.26684i | 0.255307 | + | 0.122949i | ||||
\(707\) | −49.4924 | + | 0.713050i | −1.86135 | + | 0.0268170i | ||||
\(708\) | −97.5434 | + | 46.9744i | −3.66591 | + | 1.76541i | ||||
\(709\) | 18.1535 | + | 12.3769i | 0.681769 | + | 0.464823i | 0.854026 | − | 0.520230i | \(-0.174154\pi\) |
−0.172257 | + | 0.985052i | \(0.555106\pi\) | |||||||
\(710\) | 9.26741 | + | 8.59890i | 0.347800 | + | 0.322711i | ||||
\(711\) | 38.2416 | + | 35.4830i | 1.43417 | + | 1.33072i | ||||
\(712\) | −0.0816060 | − | 0.0556380i | −0.00305831 | − | 0.00208512i | ||||
\(713\) | −12.0092 | + | 5.78332i | −0.449747 | + | 0.216587i | ||||
\(714\) | −2.92361 | + | 13.7172i | −0.109413 | + | 0.513352i | ||||
\(715\) | −4.05512 | − | 1.95284i | −0.151653 | − | 0.0730321i | ||||
\(716\) | −22.8150 | − | 39.5167i | −0.852637 | − | 1.47681i | ||||
\(717\) | 8.47435 | − | 14.6780i | 0.316480 | − | 0.548160i | ||||
\(718\) | 8.35251 | − | 5.69464i | 0.311713 | − | 0.212522i | ||||
\(719\) | 37.4117 | + | 5.63891i | 1.39522 | + | 0.210296i | 0.803240 | − | 0.595656i | \(-0.203108\pi\) |
0.591981 | + | 0.805952i | \(0.298346\pi\) | |||||||
\(720\) | 2.81627 | − | 12.3389i | 0.104956 | − | 0.459843i | ||||
\(721\) | −9.70314 | + | 17.3798i | −0.361364 | + | 0.647259i | ||||
\(722\) | 7.65009 | + | 33.5172i | 0.284707 | + | 1.24738i | ||||
\(723\) | 1.53434 | + | 20.4744i | 0.0570629 | + | 0.761451i | ||||
\(724\) | −62.7938 | − | 19.3693i | −2.33371 | − | 0.719855i | ||||
\(725\) | 0.0375062 | + | 0.0955642i | 0.00139294 | + | 0.00354917i | ||||
\(726\) | 66.7661 | − | 20.5946i | 2.47792 | − | 0.764338i | ||||
\(727\) | 2.38311 | + | 2.98832i | 0.0883846 | + | 0.110831i | 0.824057 | − | 0.566506i | \(-0.191705\pi\) |
−0.735673 | + | 0.677337i | \(0.763134\pi\) | |||||||
\(728\) | −29.7951 | + | 28.4555i | −1.10428 | + | 1.05463i | ||||
\(729\) | −27.1088 | + | 33.9933i | −1.00403 | + | 1.25901i | ||||
\(730\) | −3.38018 | + | 8.61256i | −0.125106 | + | 0.318765i | ||||
\(731\) | 0.387010 | − | 5.16430i | 0.0143141 | − | 0.191008i | ||||
\(732\) | −47.4774 | + | 7.15607i | −1.75482 | + | 0.264496i | ||||
\(733\) | −19.9769 | + | 18.5358i | −0.737862 | + | 0.684636i | −0.956684 | − | 0.291129i | \(-0.905969\pi\) |
0.218821 | + | 0.975765i | \(0.429779\pi\) | |||||||
\(734\) | −81.7568 | −3.01770 | ||||||||
\(735\) | −14.5301 | + | 26.9299i | −0.535950 | + | 0.993324i | ||||
\(736\) | 19.4443 | 0.716728 | ||||||||
\(737\) | −4.02680 | + | 3.73633i | −0.148329 | + | 0.137629i | ||||
\(738\) | −54.7109 | + | 8.24634i | −2.01394 | + | 0.303552i | ||||
\(739\) | −2.36871 | + | 31.6082i | −0.0871343 | + | 1.16273i | 0.766638 | + | 0.642079i | \(0.221928\pi\) |
−0.853772 | + | 0.520647i | \(0.825691\pi\) | |||||||
\(740\) | −19.5943 | + | 49.9253i | −0.720299 | + | 1.83529i | ||||
\(741\) | 15.4201 | − | 19.3363i | 0.566473 | − | 0.710335i | ||||
\(742\) | 29.4028 | + | 49.2740i | 1.07941 | + | 1.80890i | ||||
\(743\) | 21.2921 | + | 26.6995i | 0.781132 | + | 0.979509i | 0.999993 | + | 0.00375264i | \(0.00119451\pi\) |
−0.218861 | + | 0.975756i | \(0.570234\pi\) | |||||||
\(744\) | 24.4024 | − | 7.52714i | 0.894635 | − | 0.275958i | ||||
\(745\) | −1.54330 | − | 3.93227i | −0.0565423 | − | 0.144067i | ||||
\(746\) | 49.2287 | + | 15.1850i | 1.80239 | + | 0.555964i | ||||
\(747\) | −3.39189 | − | 45.2617i | −0.124103 | − | 1.65604i | ||||
\(748\) | −0.441363 | − | 1.93374i | −0.0161378 | − | 0.0707045i | ||||
\(749\) | −12.5688 | + | 2.08004i | −0.459253 | + | 0.0760028i | ||||
\(750\) | 17.4257 | − | 76.3472i | 0.636298 | − | 2.78780i | ||||
\(751\) | −2.14418 | − | 0.323184i | −0.0782424 | − | 0.0117931i | 0.109804 | − | 0.993953i | \(-0.464978\pi\) |
−0.188047 | + | 0.982160i | \(0.560216\pi\) | |||||||
\(752\) | −7.67948 | + | 5.23578i | −0.280042 | + | 0.190929i | ||||
\(753\) | 4.16716 | − | 7.21774i | 0.151860 | − | 0.263029i | ||||
\(754\) | 0.195766 | + | 0.339076i | 0.00712936 | + | 0.0123484i | ||||
\(755\) | 1.64014 | + | 0.789852i | 0.0596909 | + | 0.0287456i | ||||
\(756\) | 12.0190 | + | 49.3692i | 0.437127 | + | 1.79554i | ||||
\(757\) | 40.7751 | − | 19.6363i | 1.48200 | − | 0.713693i | 0.494188 | − | 0.869355i | \(-0.335466\pi\) |
0.987810 | + | 0.155663i | \(0.0497513\pi\) | |||||||
\(758\) | −11.7453 | − | 8.00783i | −0.426609 | − | 0.290857i | ||||
\(759\) | 7.84171 | + | 7.27605i | 0.284636 | + | 0.264104i | ||||
\(760\) | −8.97205 | − | 8.32485i | −0.325451 | − | 0.301974i | ||||
\(761\) | −39.1162 | − | 26.6689i | −1.41796 | − | 0.966749i | −0.998253 | − | 0.0590890i | \(-0.981180\pi\) |
−0.419707 | − | 0.907660i | \(-0.637867\pi\) | |||||||
\(762\) | 84.1953 | − | 40.5463i | 3.05007 | − | 1.46884i | ||||
\(763\) | −28.2978 | − | 13.1287i | −1.02445 | − | 0.475292i | ||||
\(764\) | 63.4994 | + | 30.5797i | 2.29733 | + | 1.10633i | ||||
\(765\) | −3.04392 | − | 5.27222i | −0.110053 | − | 0.190618i | ||||
\(766\) | 28.6505 | − | 49.6241i | 1.03518 | − | 1.79299i | ||||
\(767\) | −37.0553 | + | 25.2639i | −1.33799 | + | 0.912226i | ||||
\(768\) | −69.8707 | − | 10.5313i | −2.52124 | − | 0.380016i | ||||
\(769\) | 5.71133 | − | 25.0230i | 0.205956 | − | 0.902351i | −0.761271 | − | 0.648434i | \(-0.775424\pi\) |
0.967226 | − | 0.253916i | \(-0.0817188\pi\) | |||||||
\(770\) | 0.407087 | − | 6.73238i | 0.0146704 | − | 0.242618i | ||||
\(771\) | 16.3266 | + | 71.5314i | 0.587987 | + | 2.57614i | ||||
\(772\) | 4.16909 | + | 55.6326i | 0.150049 | + | 2.00226i | ||||
\(773\) | 21.9342 | + | 6.76579i | 0.788917 | + | 0.243349i | 0.662928 | − | 0.748683i | \(-0.269313\pi\) |
0.125989 | + | 0.992032i | \(0.459790\pi\) | |||||||
\(774\) | −27.4858 | − | 70.0327i | −0.987957 | − | 2.51727i | ||||
\(775\) | 6.00448 | − | 1.85214i | 0.215687 | − | 0.0665307i | ||||
\(776\) | −27.3037 | − | 34.2377i | −0.980145 | − | 1.22906i | ||||
\(777\) | −6.38660 | − | 71.4037i | −0.229118 | − | 2.56159i | ||||
\(778\) | 30.2073 | − | 37.8788i | 1.08298 | − | 1.35802i | ||||
\(779\) | −3.67691 | + | 9.36860i | −0.131739 | + | 0.335665i | ||||
\(780\) | 4.87840 | − | 65.0977i | 0.174675 | − | 2.33087i | ||||
\(781\) | 2.36309 | − | 0.356179i | 0.0845581 | − | 0.0127451i | ||||
\(782\) | −7.57293 | + | 7.02666i | −0.270808 | + | 0.251273i | ||||
\(783\) | 0.213146 | 0.00761721 | ||||||||
\(784\) | −10.6038 | − | 4.73519i | −0.378707 | − | 0.169114i | ||||
\(785\) | −15.8926 | −0.567230 | ||||||||
\(786\) | 68.8373 | − | 63.8717i | 2.45534 | − | 2.27823i | ||||
\(787\) | −17.0174 | + | 2.56495i | −0.606603 | + | 0.0914307i | −0.445160 | − | 0.895451i | \(-0.646853\pi\) |
−0.161444 | + | 0.986882i | \(0.551615\pi\) | |||||||
\(788\) | 4.33980 | − | 57.9106i | 0.154599 | − | 2.06298i | ||||
\(789\) | 5.08962 | − | 12.9681i | 0.181195 | − | 0.461678i | ||||
\(790\) | 24.3397 | − | 30.5210i | 0.865968 | − | 1.08589i | ||||
\(791\) | −10.2138 | + | 27.1689i | −0.363162 | + | 0.966016i | ||||
\(792\) | −7.93030 | − | 9.94428i | −0.281791 | − | 0.353355i | ||||
\(793\) | −19.0058 | + | 5.86250i | −0.674915 | + | 0.208184i | ||||
\(794\) | 3.84632 | + | 9.80025i | 0.136501 | + | 0.347798i | ||||
\(795\) | −38.3492 | − | 11.8292i | −1.36011 | − | 0.419538i | ||||
\(796\) | 5.87749 | + | 78.4296i | 0.208322 | + | 2.77986i | ||||
\(797\) | −5.96330 | − | 26.1269i | −0.211231 | − | 0.925464i | −0.963732 | − | 0.266872i | \(-0.914010\pi\) |
0.752501 | − | 0.658591i | \(-0.228847\pi\) | |||||||
\(798\) | 35.5689 | + | 10.4128i | 1.25913 | + | 0.368610i | ||||
\(799\) | −0.994849 | + | 4.35872i | −0.0351952 | + | 0.154200i | ||||
\(800\) | −9.06407 | − | 1.36619i | −0.320463 | − | 0.0483021i | ||||
\(801\) | −0.107261 | + | 0.0731296i | −0.00378990 | + | 0.00258391i | ||||
\(802\) | 37.0694 | − | 64.2061i | 1.30897 | − | 2.26720i | ||||
\(803\) | 0.874474 | + | 1.51463i | 0.0308595 | + | 0.0534502i | ||||
\(804\) | −71.7833 | − | 34.5690i | −2.53160 | − | 1.21916i | ||||
\(805\) | −20.1640 | + | 10.0709i | −0.710688 | + | 0.354951i | ||||
\(806\) | 21.5915 | − | 10.3979i | 0.760529 | − | 0.366252i | ||||
\(807\) | −37.4910 | − | 25.5609i | −1.31974 | − | 0.899787i | ||||
\(808\) | 51.2038 | + | 47.5102i | 1.80134 | + | 1.67140i | ||||
\(809\) | −15.7266 | − | 14.5922i | −0.552918 | − | 0.513033i | 0.353489 | − | 0.935439i | \(-0.384995\pi\) |
−0.906407 | + | 0.422406i | \(0.861186\pi\) | |||||||
\(810\) | −1.09403 | − | 0.745896i | −0.0384402 | − | 0.0262081i | ||||
\(811\) | −28.1304 | + | 13.5469i | −0.987791 | + | 0.475695i | −0.856778 | − | 0.515686i | \(-0.827537\pi\) |
−0.131013 | + | 0.991381i | \(0.541823\pi\) | |||||||
\(812\) | −0.230447 | + | 0.297669i | −0.00808710 | + | 0.0104461i | ||||
\(813\) | −4.43510 | − | 2.13583i | −0.155546 | − | 0.0749070i | ||||
\(814\) | 7.90069 | + | 13.6844i | 0.276919 | + | 0.479638i | ||||
\(815\) | 4.14205 | − | 7.17424i | 0.145090 | − | 0.251303i | ||||
\(816\) | 3.07594 | − | 2.09714i | 0.107680 | − | 0.0734147i | ||||
\(817\) | −13.5321 | − | 2.03963i | −0.473428 | − | 0.0713577i | ||||
\(818\) | −7.30306 | + | 31.9968i | −0.255345 | + | 1.11874i | ||||
\(819\) | 20.5084 | + | 50.1192i | 0.716621 | + | 1.75131i | ||||
\(820\) | 5.91123 | + | 25.8988i | 0.206429 | + | 0.904425i | ||||
\(821\) | 1.65734 | + | 22.1157i | 0.0578416 | + | 0.771843i | 0.948421 | + | 0.317014i | \(0.102680\pi\) |
−0.890579 | + | 0.454828i | \(0.849701\pi\) | |||||||
\(822\) | −15.6963 | − | 4.84165i | −0.547470 | − | 0.168872i | ||||
\(823\) | 0.290456 | + | 0.740069i | 0.0101247 | + | 0.0257972i | 0.935847 | − | 0.352407i | \(-0.114637\pi\) |
−0.925722 | + | 0.378205i | \(0.876542\pi\) | |||||||
\(824\) | 26.8417 | − | 8.27956i | 0.935075 | − | 0.288432i | ||||
\(825\) | −3.14423 | − | 3.94273i | −0.109468 | − | 0.137268i | ||||
\(826\) | −56.0683 | − | 37.0550i | −1.95087 | − | 1.28931i | ||||
\(827\) | −2.16118 | + | 2.71004i | −0.0751516 | + | 0.0942372i | −0.817986 | − | 0.575238i | \(-0.804909\pi\) |
0.742835 | + | 0.669475i | \(0.233481\pi\) | |||||||
\(828\) | −35.1789 | + | 89.6343i | −1.22255 | + | 3.11501i | ||||
\(829\) | −1.86469 | + | 24.8826i | −0.0647635 | + | 0.864208i | 0.866340 | + | 0.499454i | \(0.166466\pi\) |
−0.931104 | + | 0.364754i | \(0.881153\pi\) | |||||||
\(830\) | −33.5856 | + | 5.06221i | −1.16577 | + | 0.175712i | ||||
\(831\) | 33.3409 | − | 30.9358i | 1.15658 | − | 1.07315i | ||||
\(832\) | −48.7981 | −1.69177 | ||||||||
\(833\) | −5.28824 | + | 1.79961i | −0.183227 | + | 0.0623529i | ||||
\(834\) | 17.8163 | 0.616929 | ||||||||
\(835\) | −1.74634 | + | 1.62037i | −0.0604346 | + | 0.0560751i | ||||
\(836\) | −5.18278 | + | 0.781179i | −0.179250 | + | 0.0270176i | ||||
\(837\) | 0.974944 | − | 13.0097i | 0.0336990 | − | 0.449682i | ||||
\(838\) | −11.9077 | + | 30.3403i | −0.411345 | + | 1.04809i | ||||
\(839\) | 7.60123 | − | 9.53164i | 0.262424 | − | 0.329069i | −0.633111 | − | 0.774061i | \(-0.718222\pi\) |
0.895534 | + | 0.444992i | \(0.146794\pi\) | |||||||
\(840\) | 41.0757 | − | 13.3212i | 1.41725 | − | 0.459624i | ||||
\(841\) | −18.0802 | − | 22.6719i | −0.623456 | − | 0.781789i | ||||
\(842\) | 19.3772 | − | 5.97707i | 0.667782 | − | 0.205983i | ||||
\(843\) | −3.96826 | − | 10.1110i | −0.136674 | − | 0.348240i | ||||
\(844\) | 94.6395 | + | 29.1924i | 3.25763 | + | 1.00484i | ||||
\(845\) | −0.510629 | − | 6.81387i | −0.0175662 | − | 0.234404i | ||||
\(846\) | 14.4524 | + | 63.3201i | 0.496884 | + | 2.17699i | ||||
\(847\) | 20.6701 | + | 18.6322i | 0.710235 | + | 0.640211i | ||||
\(848\) | 3.38916 | − | 14.8489i | 0.116384 | − | 0.509913i | ||||
\(849\) | 83.2656 | + | 12.5503i | 2.85767 | + | 0.430724i | ||||
\(850\) | 4.02386 | − | 2.74342i | 0.138017 | − | 0.0940986i | ||||
\(851\) | 26.4022 | − | 45.7299i | 0.905055 | − | 1.56760i | ||||
\(852\) | 17.3307 | + | 30.0177i | 0.593741 | + | 1.02839i | ||||
\(853\) | 16.8204 | + | 8.10030i | 0.575921 | + | 0.277349i | 0.699086 | − | 0.715037i | \(-0.253590\pi\) |
−0.123165 | + | 0.992386i | \(0.539305\pi\) | |||||||
\(854\) | −18.9169 | − | 23.0324i | −0.647322 | − | 0.788151i | ||||
\(855\) | −14.4940 | + | 6.97994i | −0.495684 | + | 0.238709i | ||||
\(856\) | 14.8542 | + | 10.1274i | 0.507706 | + | 0.346148i | ||||
\(857\) | −29.5085 | − | 27.3799i | −1.00799 | − | 0.935280i | −0.0100855 | − | 0.999949i | \(-0.503210\pi\) |
−0.997907 | + | 0.0646690i | \(0.979401\pi\) | |||||||
\(858\) | −14.0988 | − | 13.0817i | −0.481324 | − | 0.446603i | ||||
\(859\) | 3.88072 | + | 2.64583i | 0.132409 | + | 0.0902746i | 0.627713 | − | 0.778445i | \(-0.283991\pi\) |
−0.495304 | + | 0.868719i | \(0.664944\pi\) | |||||||
\(860\) | −32.5443 | + | 15.6725i | −1.10975 | + | 0.534428i | ||||
\(861\) | −22.5366 | − | 27.4396i | −0.768044 | − | 0.935137i | ||||
\(862\) | 31.9009 | + | 15.3627i | 1.08655 | + | 0.523254i | ||||
\(863\) | 0.875413 | + | 1.51626i | 0.0297994 | + | 0.0516141i | 0.880541 | − | 0.473971i | \(-0.157180\pi\) |
−0.850741 | + | 0.525585i | \(0.823846\pi\) | |||||||
\(864\) | −9.51577 | + | 16.4818i | −0.323733 | + | 0.560722i | ||||
\(865\) | −7.11568 | + | 4.85139i | −0.241941 | + | 0.164952i | ||||
\(866\) | 28.7209 | + | 4.32899i | 0.975978 | + | 0.147105i | ||||
\(867\) | −10.2390 | + | 44.8599i | −0.347734 | + | 1.52352i | ||||
\(868\) | 17.1147 | + | 15.4273i | 0.580910 | + | 0.523636i | ||||
\(869\) | −1.64207 | − | 7.19439i | −0.0557035 | − | 0.244053i | ||||
\(870\) | −0.0306664 | − | 0.409215i | −0.00103969 | − | 0.0138737i | ||||
\(871\) | −31.5380 | − | 9.72819i | −1.06862 | − | 0.329627i | ||||
\(872\) | 16.0830 | + | 40.9789i | 0.544640 | + | 1.38772i | ||||
\(873\) | −55.0018 | + | 16.9658i | −1.86153 | + | 0.574206i | ||||
\(874\) | 17.0206 | + | 21.3431i | 0.575730 | + | 0.721942i | ||||
\(875\) | 29.6688 | − | 9.62181i | 1.00299 | − | 0.325276i | ||||
\(876\) | −15.8159 | + | 19.8325i | −0.534370 | + | 0.670079i | ||||
\(877\) | −6.21546 | + | 15.8367i | −0.209881 | + | 0.534769i | −0.996586 | − | 0.0825607i | \(-0.973690\pi\) |
0.786705 | + | 0.617329i | \(0.211785\pi\) | |||||||
\(878\) | −0.713440 | + | 9.52019i | −0.0240774 | + | 0.321291i | ||||
\(879\) | 34.2995 | − | 5.16981i | 1.15689 | − | 0.174373i | ||||
\(880\) | −1.31237 | + | 1.21771i | −0.0442401 | + | 0.0410488i | ||||
\(881\) | −39.7542 | −1.33935 | −0.669676 | − | 0.742653i | \(-0.733567\pi\) | ||||
−0.669676 | + | 0.742653i | \(0.733567\pi\) | |||||||
\(882\) | −57.8724 | + | 56.8869i | −1.94866 | + | 1.91548i | ||||
\(883\) | −36.2060 | −1.21843 | −0.609215 | − | 0.793005i | \(-0.708515\pi\) | ||||
−0.609215 | + | 0.793005i | \(0.708515\pi\) | |||||||
\(884\) | 8.73585 | − | 8.10568i | 0.293818 | − | 0.272624i | ||||
\(885\) | 46.4801 | − | 7.00575i | 1.56241 | − | 0.235496i | ||||
\(886\) | −2.19099 | + | 29.2367i | −0.0736078 | + | 0.982227i | ||||
\(887\) | 10.8406 | − | 27.6214i | 0.363992 | − | 0.927436i | −0.625155 | − | 0.780501i | \(-0.714964\pi\) |
0.989146 | − | 0.146935i | \(-0.0469407\pi\) | |||||||
\(888\) | −63.0760 | + | 79.0948i | −2.11669 | + | 2.65425i | ||||
\(889\) | 31.0512 | + | 20.5214i | 1.04142 | + | 0.688266i | ||||
\(890\) | 0.0605692 | + | 0.0759513i | 0.00203028 | + | 0.00254589i | ||||
\(891\) | −0.239178 | + | 0.0737768i | −0.00801278 | + | 0.00247162i | ||||
\(892\) | 2.98868 | + | 7.61503i | 0.100068 | + | 0.254970i | ||||
\(893\) | 11.2893 | + | 3.48228i | 0.377781 | + | 0.116530i | ||||
\(894\) | −1.34897 | − | 18.0007i | −0.0451162 | − | 0.602034i | ||||
\(895\) | 4.40838 | + | 19.3144i | 0.147356 | + | 0.645608i | ||||
\(896\) | −20.5832 | − | 50.3020i | −0.687636 | − | 1.68047i | ||||
\(897\) | −14.3018 | + | 62.6605i | −0.477525 | + | 2.09217i | ||||
\(898\) | −15.7699 | − | 2.37692i | −0.526247 | − | 0.0793190i | ||||
\(899\) | 0.0798611 | − | 0.0544484i | 0.00266352 | − | 0.00181595i | ||||
\(900\) | 22.6966 | − | 39.3117i | 0.756554 | − | 1.31039i | ||||
\(901\) | −3.66312 | − | 6.34471i | −0.122036 | − | 0.211373i | ||||
\(902\) | 7.05149 | + | 3.39582i | 0.234789 | + | 0.113068i | ||||
\(903\) | 29.5565 | − | 38.1782i | 0.983578 | − | 1.27049i | ||||
\(904\) | 36.9038 | − | 17.7720i | 1.22740 | − | 0.591086i | ||||
\(905\) | 23.5731 | + | 16.0718i | 0.783595 | + | 0.534246i | ||||
\(906\) | 5.70243 | + | 5.29108i | 0.189450 | + | 0.175784i | ||||
\(907\) | −32.6538 | − | 30.2983i | −1.08425 | − | 1.00604i | −0.999954 | − | 0.00959830i | \(-0.996945\pi\) |
−0.0842981 | − | 0.996441i | \(-0.526865\pi\) | |||||||
\(908\) | −76.4098 | − | 52.0954i | −2.53575 | − | 1.72884i | ||||
\(909\) | 82.7177 | − | 39.8348i | 2.74357 | − | 1.32124i | ||||
\(910\) | 36.2532 | − | 18.1066i | 1.20178 | − | 0.600227i | ||||
\(911\) | −9.62759 | − | 4.63640i | −0.318976 | − | 0.153611i | 0.267544 | − | 0.963546i | \(-0.413788\pi\) |
−0.586520 | + | 0.809935i | \(0.699502\pi\) | |||||||
\(912\) | −4.91879 | − | 8.51960i | −0.162877 | − | 0.282112i | ||||
\(913\) | −3.21023 | + | 5.56028i | −0.106243 | + | 0.184018i | ||||
\(914\) | −9.68518 | + | 6.60325i | −0.320357 | + | 0.218416i | ||||
\(915\) | 20.6132 | + | 3.10693i | 0.681450 | + | 0.102712i | ||||
\(916\) | 6.01803 | − | 26.3667i | 0.198841 | − | 0.871181i | ||||
\(917\) | 35.8945 | + | 10.5082i | 1.18534 | + | 0.347010i | ||||
\(918\) | −2.24999 | − | 9.85786i | −0.0742608 | − | 0.325358i | ||||
\(919\) | −2.39913 | − | 32.0142i | −0.0791400 | − | 1.05605i | −0.885504 | − | 0.464631i | \(-0.846187\pi\) |
0.806364 | − | 0.591419i | \(-0.201432\pi\) | |||||||
\(920\) | 30.3937 | + | 9.37520i | 1.00205 | + | 0.309091i | ||||
\(921\) | 5.13945 | + | 13.0951i | 0.169351 | + | 0.431498i | ||||
\(922\) | −88.9440 | + | 27.4356i | −2.92922 | + | 0.903543i | ||||
\(923\) | 8.95227 | + | 11.2258i | 0.294668 | + | 0.369501i | ||||
\(924\) | 6.50722 | − | 17.3093i | 0.214072 | − | 0.569433i | ||||
\(925\) | −15.5205 | + | 19.4622i | −0.510312 | + | 0.639912i | ||||
\(926\) | −6.13595 | + | 15.6341i | −0.201640 | + | 0.513770i | ||||
\(927\) | 2.75907 | − | 36.8172i | 0.0906198 | − | 1.20924i | ||||
\(928\) | −0.139425 | + | 0.0210150i | −0.00457686 | + | 0.000689850i | ||||
\(929\) | −3.80040 | + | 3.52626i | −0.124687 | + | 0.115693i | −0.740052 | − | 0.672550i | \(-0.765199\pi\) |
0.615365 | + | 0.788242i | \(0.289009\pi\) | |||||||
\(930\) | −25.1174 | −0.823631 | ||||||||
\(931\) | 3.69789 | + | 14.2905i | 0.121194 | + | 0.468352i | ||||
\(932\) | −21.2096 | −0.694744 | ||||||||
\(933\) | −61.8390 | + | 57.3782i | −2.02452 | + | 1.87848i | ||||
\(934\) | 26.2343 | − | 3.95419i | 0.858414 | − | 0.129385i | ||||
\(935\) | −0.0643544 | + | 0.858750i | −0.00210461 | + | 0.0280841i | ||||
\(936\) | 27.9192 | − | 71.1370i | 0.912569 | − | 2.32519i | ||||
\(937\) | −21.3291 | + | 26.7458i | −0.696791 | + | 0.873748i | −0.996779 | − | 0.0801945i | \(-0.974446\pi\) |
0.299988 | + | 0.953943i | \(0.403017\pi\) | |||||||
\(938\) | −4.40612 | − | 49.2615i | −0.143865 | − | 1.60844i | ||||
\(939\) | 1.79703 | + | 2.25341i | 0.0586440 | + | 0.0735373i | ||||
\(940\) | 29.7981 | − | 9.19149i | 0.971906 | − | 0.299793i | ||||
\(941\) | −8.82717 | − | 22.4913i | −0.287758 | − | 0.733194i | −0.999526 | − | 0.0307802i | \(-0.990201\pi\) |
0.711769 | − | 0.702414i | \(-0.247894\pi\) | |||||||
\(942\) | −64.8949 | − | 20.0174i | −2.11439 | − | 0.652203i | ||||
\(943\) | −1.95453 | − | 26.0813i | −0.0636481 | − | 0.849326i | ||||
\(944\) | 3.96958 | + | 17.3919i | 0.129199 | + | 0.566057i | ||||
\(945\) | 1.33151 | − | 22.0203i | 0.0433139 | − | 0.716321i | ||||
\(946\) | −2.36810 | + | 10.3753i | −0.0769937 | + | 0.337331i | ||||
\(947\) | 17.6545 | + | 2.66099i | 0.573694 | + | 0.0864705i | 0.429481 | − | 0.903076i | \(-0.358697\pi\) |
0.144214 | + | 0.989547i | \(0.453935\pi\) | |||||||
\(948\) | 88.4332 | − | 60.2927i | 2.87218 | − | 1.95822i | ||||
\(949\) | −5.25402 | + | 9.10023i | −0.170553 | + | 0.295406i | ||||
\(950\) | −6.43462 | − | 11.1451i | −0.208767 | − | 0.361595i | ||||
\(951\) | −1.18504 | − | 0.570685i | −0.0384275 | − | 0.0185057i | ||||
\(952\) | 7.15083 | + | 3.31762i | 0.231760 | + | 0.107525i | ||||
\(953\) | 17.5916 | − | 8.47169i | 0.569849 | − | 0.274425i | −0.126692 | − | 0.991942i | \(-0.540436\pi\) |
0.696541 | + | 0.717517i | \(0.254722\pi\) | |||||||
\(954\) | −87.9367 | − | 59.9542i | −2.84706 | − | 1.94109i | ||||
\(955\) | −22.4312 | − | 20.8131i | −0.725855 | − | 0.673495i | ||||
\(956\) | −15.8197 | − | 14.6785i | −0.511645 | − | 0.474737i | ||||
\(957\) | −0.0640926 | − | 0.0436976i | −0.00207182 | − | 0.00141254i | ||||
\(958\) | 53.3655 | − | 25.6995i | 1.72416 | − | 0.830313i | ||||
\(959\) | −1.54752 | − | 6.35659i | −0.0499720 | − | 0.205265i | ||||
\(960\) | 46.0801 | + | 22.1910i | 1.48723 | + | 0.716211i | ||||
\(961\) | 12.5419 | + | 21.7233i | 0.404579 | + | 0.700751i | ||||
\(962\) | −47.4690 | + | 82.2186i | −1.53046 | + | 2.65084i | ||||
\(963\) | 19.5241 | − | 13.3113i | 0.629154 | − | 0.428950i | ||||
\(964\) | 25.8509 | + | 3.89640i | 0.832602 | + | 0.125495i | ||||
\(965\) | 5.38981 | − | 23.6143i | 0.173504 | − | 0.760171i | ||||
\(966\) | −95.0214 | + | 15.7253i | −3.05726 | + | 0.505954i | ||||
\(967\) | −1.14669 | − | 5.02398i | −0.0368751 | − | 0.161560i | 0.953138 | − | 0.302536i | \(-0.0978332\pi\) |
−0.990013 | + | 0.140976i | \(0.954976\pi\) | |||||||
\(968\) | −2.93471 | − | 39.1610i | −0.0943253 | − | 1.25868i | ||||
\(969\) | −4.52181 | − | 1.39479i | −0.145261 | − | 0.0448072i | ||||
\(970\) | 15.7361 | + | 40.0948i | 0.505254 | + | 1.28737i | ||||
\(971\) | 54.6110 | − | 16.8453i | 1.75255 | − | 0.540591i | 0.758713 | − | 0.651425i | \(-0.225829\pi\) |
0.993839 | + | 0.110834i | \(0.0353523\pi\) | |||||||
\(972\) | 33.6585 | + | 42.2065i | 1.07960 | + | 1.35377i | ||||
\(973\) | 3.63615 | + | 6.09355i | 0.116570 | + | 0.195350i | ||||
\(974\) | −15.1870 | + | 19.0439i | −0.486623 | + | 0.610206i | ||||
\(975\) | 11.0695 | − | 28.2046i | 0.354508 | − | 0.903271i | ||||
\(976\) | −0.591217 | + | 7.88924i | −0.0189244 | + | 0.252528i | ||||
\(977\) | −55.8267 | + | 8.41452i | −1.78605 | + | 0.269204i | −0.957026 | − | 0.290002i | \(-0.906344\pi\) |
−0.829029 | + | 0.559206i | \(0.811106\pi\) | |||||||
\(978\) | 25.9497 | − | 24.0778i | 0.829781 | − | 0.769924i | ||||
\(979\) | 0.0183636 | 0.000586903 | ||||||||
\(980\) | 29.3129 | + | 25.6672i | 0.936368 | + | 0.819910i | ||||
\(981\) | 57.8616 | 1.84738 | ||||||||
\(982\) | 17.7270 | − | 16.4482i | 0.565690 | − | 0.524883i | ||||
\(983\) | 3.31541 | − | 0.499718i | 0.105745 | − | 0.0159385i | −0.0959565 | − | 0.995386i | \(-0.530591\pi\) |
0.201702 | + | 0.979447i | \(0.435353\pi\) | |||||||
\(984\) | −3.74461 | + | 49.9684i | −0.119374 | + | 1.59293i | ||||
\(985\) | −9.21149 | + | 23.4705i | −0.293503 | + | 0.747832i | ||||
\(986\) | 0.0467073 | − | 0.0585691i | 0.00148746 | − | 0.00186522i | ||||
\(987\) | −30.1433 | + | 28.7880i | −0.959470 | + | 0.916331i | ||||
\(988\) | −19.6343 | − | 24.6206i | −0.624650 | − | 0.783286i | ||||
\(989\) | 33.9835 | − | 10.4825i | 1.08061 | − | 0.333325i | ||||
\(990\) | 4.57051 | + | 11.6455i | 0.145260 | + | 0.370117i | ||||
\(991\) | −31.8228 | − | 9.81604i | −1.01089 | − | 0.311817i | −0.255296 | − | 0.966863i | \(-0.582173\pi\) |
−0.755589 | + | 0.655046i | \(0.772649\pi\) | |||||||
\(992\) | 0.644944 | + | 8.60618i | 0.0204770 | + | 0.273246i | ||||
\(993\) | −8.02064 | − | 35.1407i | −0.254527 | − | 1.11516i | ||||
\(994\) | −10.4887 | + | 18.7869i | −0.332681 | + | 0.595883i | ||||
\(995\) | 7.59844 | − | 33.2909i | 0.240887 | − | 1.05539i | ||||
\(996\) | −92.0824 | − | 13.8792i | −2.91774 | − | 0.439779i | ||||
\(997\) | 32.4613 | − | 22.1317i | 1.02806 | − | 0.700919i | 0.0729996 | − | 0.997332i | \(-0.476743\pi\) |
0.955060 | + | 0.296413i | \(0.0957905\pi\) | |||||||
\(998\) | −28.7447 | + | 49.7872i | −0.909896 | + | 1.57599i | ||||
\(999\) | 25.8416 | + | 44.7591i | 0.817594 | + | 1.41611i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 49.2.g.a.11.1 | yes | 48 | |
3.2 | odd | 2 | 441.2.bb.d.109.4 | 48 | |||
4.3 | odd | 2 | 784.2.bg.c.305.1 | 48 | |||
7.2 | even | 3 | 343.2.g.i.128.4 | 48 | |||
7.3 | odd | 6 | 343.2.e.c.246.1 | 48 | |||
7.4 | even | 3 | 343.2.e.d.246.1 | 48 | |||
7.5 | odd | 6 | 343.2.g.h.128.4 | 48 | |||
7.6 | odd | 2 | 343.2.g.g.312.1 | 48 | |||
49.3 | odd | 42 | 2401.2.a.i.1.22 | 24 | |||
49.9 | even | 21 | inner | 49.2.g.a.9.1 | ✓ | 48 | |
49.15 | even | 7 | 343.2.g.i.67.4 | 48 | |||
49.24 | odd | 42 | 343.2.e.c.99.1 | 48 | |||
49.25 | even | 21 | 343.2.e.d.99.1 | 48 | |||
49.34 | odd | 14 | 343.2.g.h.67.4 | 48 | |||
49.40 | odd | 42 | 343.2.g.g.177.1 | 48 | |||
49.46 | even | 21 | 2401.2.a.h.1.22 | 24 | |||
147.107 | odd | 42 | 441.2.bb.d.352.4 | 48 | |||
196.107 | odd | 42 | 784.2.bg.c.401.1 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
49.2.g.a.9.1 | ✓ | 48 | 49.9 | even | 21 | inner | |
49.2.g.a.11.1 | yes | 48 | 1.1 | even | 1 | trivial | |
343.2.e.c.99.1 | 48 | 49.24 | odd | 42 | |||
343.2.e.c.246.1 | 48 | 7.3 | odd | 6 | |||
343.2.e.d.99.1 | 48 | 49.25 | even | 21 | |||
343.2.e.d.246.1 | 48 | 7.4 | even | 3 | |||
343.2.g.g.177.1 | 48 | 49.40 | odd | 42 | |||
343.2.g.g.312.1 | 48 | 7.6 | odd | 2 | |||
343.2.g.h.67.4 | 48 | 49.34 | odd | 14 | |||
343.2.g.h.128.4 | 48 | 7.5 | odd | 6 | |||
343.2.g.i.67.4 | 48 | 49.15 | even | 7 | |||
343.2.g.i.128.4 | 48 | 7.2 | even | 3 | |||
441.2.bb.d.109.4 | 48 | 3.2 | odd | 2 | |||
441.2.bb.d.352.4 | 48 | 147.107 | odd | 42 | |||
784.2.bg.c.305.1 | 48 | 4.3 | odd | 2 | |||
784.2.bg.c.401.1 | 48 | 196.107 | odd | 42 | |||
2401.2.a.h.1.22 | 24 | 49.46 | even | 21 | |||
2401.2.a.i.1.22 | 24 | 49.3 | odd | 42 |