Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(28,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([44]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.28");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.g (of order \(27\), degree \(18\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.82109430735\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{27})\) |
Twist minimal: | no (minimal twist has level 81) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 676.7 | ||
Character | \(\chi\) | \(=\) | 729.676 |
Dual form | 729.2.g.b.55.7 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{10}{27}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.880274 | + | 2.04070i | 0.622448 | + | 1.44300i | 0.879169 | + | 0.476510i | \(0.158098\pi\) |
−0.256721 | + | 0.966485i | \(0.582642\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −2.01711 | + | 2.13801i | −1.00855 | + | 1.06900i | ||||
\(5\) | −0.171269 | + | 2.94057i | −0.0765937 | + | 1.31506i | 0.712883 | + | 0.701283i | \(0.247389\pi\) |
−0.789477 | + | 0.613780i | \(0.789648\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.87602 | − | 0.681629i | 1.08703 | − | 0.257631i | 0.352231 | − | 0.935913i | \(-0.385423\pi\) |
0.734802 | + | 0.678282i | \(0.237275\pi\) | |||||||
\(8\) | −1.96178 | − | 0.714030i | −0.693594 | − | 0.252448i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −6.15160 | + | 2.23900i | −1.94531 | + | 0.708033i | ||||
\(11\) | −4.43417 | + | 2.91640i | −1.33695 | + | 0.879328i | −0.998106 | − | 0.0615139i | \(-0.980407\pi\) |
−0.338847 | + | 0.940842i | \(0.610037\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.730282 | − | 0.0853577i | 0.202544 | − | 0.0236740i | −0.0142160 | − | 0.999899i | \(-0.504525\pi\) |
0.216760 | + | 0.976225i | \(0.430451\pi\) | |||||||
\(14\) | 3.92268 | + | 5.26908i | 1.04838 | + | 1.40822i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.0720359 | + | 1.23681i | 0.0180090 | + | 0.309202i | ||||
\(17\) | −1.11298 | − | 0.933897i | −0.269936 | − | 0.226503i | 0.497764 | − | 0.867312i | \(-0.334155\pi\) |
−0.767700 | + | 0.640809i | \(0.778599\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 4.21153 | − | 3.53390i | 0.966192 | − | 0.810731i | −0.0157573 | − | 0.999876i | \(-0.505016\pi\) |
0.981949 | + | 0.189145i | \(0.0605715\pi\) | |||||||
\(20\) | −5.94150 | − | 6.29762i | −1.32856 | − | 1.40819i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −9.85479 | − | 6.48160i | −2.10105 | − | 1.38188i | ||||
\(23\) | 0.438705 | + | 0.103975i | 0.0914763 | + | 0.0216803i | 0.276099 | − | 0.961129i | \(-0.410958\pi\) |
−0.184623 | + | 0.982809i | \(0.559106\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.65143 | − | 0.426791i | −0.730286 | − | 0.0853581i | ||||
\(26\) | 0.817038 | + | 1.41515i | 0.160234 | + | 0.277534i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −4.34391 | + | 7.52387i | −0.820921 | + | 1.42188i | ||||
\(29\) | −2.12271 | + | 2.85130i | −0.394178 | + | 0.529472i | −0.954265 | − | 0.298961i | \(-0.903360\pi\) |
0.560088 | + | 0.828433i | \(0.310767\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.319104 | + | 1.06588i | 0.0573128 | + | 0.191438i | 0.981852 | − | 0.189649i | \(-0.0607350\pi\) |
−0.924539 | + | 0.381087i | \(0.875550\pi\) | |||||||
\(32\) | −6.19179 | + | 3.10963i | −1.09456 | + | 0.549711i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.926085 | − | 3.09334i | 0.158822 | − | 0.530503i | ||||
\(35\) | 1.51181 | + | 8.57387i | 0.255542 | + | 1.44925i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.643205 | + | 3.64780i | −0.105742 | + | 0.599695i | 0.885179 | + | 0.465251i | \(0.154036\pi\) |
−0.990921 | + | 0.134444i | \(0.957075\pi\) | |||||||
\(38\) | 10.9189 | + | 5.48370i | 1.77129 | + | 0.889573i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 2.43565 | − | 5.64646i | 0.385109 | − | 0.892784i | ||||
\(41\) | 4.05045 | − | 9.39000i | 0.632574 | − | 1.46647i | −0.236421 | − | 0.971651i | \(-0.575975\pi\) |
0.868995 | − | 0.494820i | \(-0.164766\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −7.08750 | − | 3.55948i | −1.08083 | − | 0.542815i | −0.182984 | − | 0.983116i | \(-0.558576\pi\) |
−0.897850 | + | 0.440301i | \(0.854872\pi\) | |||||||
\(44\) | 2.70891 | − | 15.3630i | 0.408383 | − | 2.31606i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.173998 | + | 0.986793i | 0.0256546 | + | 0.145495i | ||||
\(47\) | 1.58391 | − | 5.29061i | 0.231036 | − | 0.771715i | −0.761327 | − | 0.648368i | \(-0.775452\pi\) |
0.992364 | − | 0.123347i | \(-0.0393630\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.55143 | − | 0.779157i | 0.221633 | − | 0.111308i | ||||
\(50\) | −2.34330 | − | 7.82718i | −0.331393 | − | 1.10693i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −1.29056 | + | 1.73353i | −0.178969 | + | 0.240397i | ||||
\(53\) | 1.83020 | − | 3.17001i | 0.251398 | − | 0.435434i | −0.712513 | − | 0.701659i | \(-0.752443\pi\) |
0.963911 | + | 0.266225i | \(0.0857764\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −7.81644 | − | 13.5385i | −1.05397 | − | 1.82553i | ||||
\(56\) | −6.12882 | − | 0.716356i | −0.818998 | − | 0.0957271i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −7.68722 | − | 1.82190i | −1.00938 | − | 0.239228i | ||||
\(59\) | 5.98693 | + | 3.93766i | 0.779431 | + | 0.512640i | 0.875782 | − | 0.482707i | \(-0.160347\pi\) |
−0.0963503 | + | 0.995347i | \(0.530717\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.98858 | − | 3.16771i | −0.382649 | − | 0.405584i | 0.507208 | − | 0.861823i | \(-0.330677\pi\) |
−0.889857 | + | 0.456240i | \(0.849196\pi\) | |||||||
\(62\) | −1.89425 | + | 1.58947i | −0.240570 | + | 0.201862i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −9.89820 | − | 8.30558i | −1.23728 | − | 1.03820i | ||||
\(65\) | 0.125926 | + | 2.16206i | 0.0156192 | + | 0.268171i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 6.75776 | + | 9.07724i | 0.825591 | + | 1.10896i | 0.992410 | + | 0.122974i | \(0.0392432\pi\) |
−0.166818 | + | 0.985988i | \(0.553349\pi\) | |||||||
\(68\) | 4.24167 | − | 0.495780i | 0.514378 | − | 0.0601222i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −16.1659 | + | 10.6325i | −1.93220 | + | 1.27083i | ||||
\(71\) | 12.6408 | − | 4.60088i | 1.50019 | − | 0.546024i | 0.544079 | − | 0.839034i | \(-0.316879\pi\) |
0.956109 | + | 0.293010i | \(0.0946568\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.72979 | + | 1.35753i | 0.436538 | + | 0.158887i | 0.550935 | − | 0.834548i | \(-0.314271\pi\) |
−0.114397 | + | 0.993435i | \(0.536493\pi\) | |||||||
\(74\) | −8.01028 | + | 1.89847i | −0.931176 | + | 0.220693i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.939614 | + | 16.1325i | −0.107781 | + | 1.85053i | ||||
\(77\) | −10.7649 | + | 11.4101i | −1.22677 | + | 1.30030i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.12592 | + | 2.61017i | 0.126675 | + | 0.293667i | 0.969738 | − | 0.244149i | \(-0.0785088\pi\) |
−0.843062 | + | 0.537816i | \(0.819250\pi\) | |||||||
\(80\) | −3.64926 | −0.408000 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 22.7277 | 2.50986 | ||||||||
\(83\) | −0.139359 | − | 0.323070i | −0.0152966 | − | 0.0354615i | 0.910397 | − | 0.413737i | \(-0.135777\pi\) |
−0.925693 | + | 0.378275i | \(0.876517\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.93681 | − | 3.11283i | 0.318542 | − | 0.337634i | ||||
\(86\) | 1.02490 | − | 17.5968i | 0.110518 | − | 1.89751i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 10.7813 | − | 2.55521i | 1.14929 | − | 0.272386i | ||||
\(89\) | −5.34347 | − | 1.94487i | −0.566407 | − | 0.206155i | 0.0429141 | − | 0.999079i | \(-0.486336\pi\) |
−0.609321 | + | 0.792923i | \(0.708558\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.04212 | − | 0.743272i | 0.214073 | − | 0.0779160i | ||||
\(92\) | −1.10721 | + | 0.728226i | −0.115435 | + | 0.0759228i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 12.1908 | − | 1.42491i | 1.25739 | − | 0.146968i | ||||
\(95\) | 9.67036 | + | 12.9896i | 0.992158 | + | 1.33270i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.409894 | + | 7.03762i | 0.0416185 | + | 0.714562i | 0.952995 | + | 0.302987i | \(0.0979839\pi\) |
−0.911376 | + | 0.411574i | \(0.864979\pi\) | |||||||
\(98\) | 2.95571 | + | 2.48014i | 0.298572 | + | 0.250532i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 8.27780 | − | 6.94590i | 0.827780 | − | 0.694590i | ||||
\(101\) | 7.28225 | + | 7.71874i | 0.724611 | + | 0.768043i | 0.980043 | − | 0.198784i | \(-0.0636992\pi\) |
−0.255432 | + | 0.966827i | \(0.582218\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 14.8895 | + | 9.79298i | 1.46711 | + | 0.964931i | 0.996588 | + | 0.0825411i | \(0.0263036\pi\) |
0.470519 | + | 0.882390i | \(0.344067\pi\) | |||||||
\(104\) | −1.49360 | − | 0.353990i | −0.146460 | − | 0.0347116i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 8.08012 | + | 0.944431i | 0.784811 | + | 0.0917313i | ||||
\(107\) | −0.0249146 | − | 0.0431534i | −0.00240859 | − | 0.00417180i | 0.864819 | − | 0.502084i | \(-0.167433\pi\) |
−0.867227 | + | 0.497913i | \(0.834100\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.202520 | − | 0.350775i | 0.0193979 | − | 0.0335981i | −0.856164 | − | 0.516705i | \(-0.827158\pi\) |
0.875561 | + | 0.483107i | \(0.160492\pi\) | |||||||
\(110\) | 20.7474 | − | 27.8686i | 1.97819 | − | 2.65717i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 1.05022 | + | 3.50798i | 0.0992365 | + | 0.331473i | ||||
\(113\) | 10.1658 | − | 5.10543i | 0.956313 | − | 0.480279i | 0.0990079 | − | 0.995087i | \(-0.468433\pi\) |
0.857305 | + | 0.514808i | \(0.172137\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.380882 | + | 1.27223i | −0.0355174 | + | 0.118636i | ||||
\(116\) | −1.81436 | − | 10.2897i | −0.168459 | − | 0.955379i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −2.76547 | + | 15.6838i | −0.254582 | + | 1.44381i | ||||
\(119\) | −3.83751 | − | 1.92727i | −0.351784 | − | 0.176672i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 6.79960 | − | 15.7633i | 0.618146 | − | 1.43302i | ||||
\(122\) | 3.83359 | − | 8.88726i | 0.347077 | − | 0.804615i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −2.92253 | − | 1.46775i | −0.262451 | − | 0.131808i | ||||
\(125\) | −0.677067 | + | 3.83984i | −0.0605587 | + | 0.343445i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.26532 | + | 12.8473i | 0.201015 | + | 1.14001i | 0.903589 | + | 0.428401i | \(0.140923\pi\) |
−0.702574 | + | 0.711611i | \(0.747966\pi\) | |||||||
\(128\) | 4.26170 | − | 14.2351i | 0.376685 | − | 1.25821i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −4.30128 | + | 2.16019i | −0.377248 | + | 0.189461i | ||||
\(131\) | 2.29663 | + | 7.67128i | 0.200658 | + | 0.670243i | 0.997790 | + | 0.0664391i | \(0.0211638\pi\) |
−0.797133 | + | 0.603804i | \(0.793651\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 9.70364 | − | 13.0342i | 0.841412 | − | 1.13021i | ||||
\(134\) | −12.5753 | + | 21.7810i | −1.08634 | + | 1.88160i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.51658 | + | 2.62680i | 0.130046 | + | 0.225246i | ||||
\(137\) | −10.2507 | − | 1.19814i | −0.875777 | − | 0.102364i | −0.333687 | − | 0.942684i | \(-0.608293\pi\) |
−0.542090 | + | 0.840320i | \(0.682367\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −16.9835 | − | 4.02516i | −1.44052 | − | 0.341410i | −0.565200 | − | 0.824954i | \(-0.691201\pi\) |
−0.875320 | + | 0.483544i | \(0.839349\pi\) | |||||||
\(140\) | −21.3805 | − | 14.0622i | −1.80698 | − | 1.18847i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 20.5164 | + | 21.7461i | 1.72170 | + | 1.82489i | ||||
\(143\) | −2.98926 | + | 2.50829i | −0.249974 | + | 0.209753i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −8.02088 | − | 6.73032i | −0.666098 | − | 0.558923i | ||||
\(146\) | 0.512914 | + | 8.80639i | 0.0424490 | + | 0.728822i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −6.50161 | − | 8.73318i | −0.534429 | − | 0.717863i | ||||
\(149\) | −8.25798 | + | 0.965219i | −0.676520 | + | 0.0790739i | −0.447413 | − | 0.894327i | \(-0.647655\pi\) |
−0.229107 | + | 0.973401i | \(0.573581\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 14.7051 | − | 9.67168i | 1.19668 | − | 0.787071i | 0.214818 | − | 0.976654i | \(-0.431084\pi\) |
0.981865 | + | 0.189584i | \(0.0607138\pi\) | |||||||
\(152\) | −10.7854 | + | 3.92557i | −0.874812 | + | 0.318406i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −32.7606 | − | 11.9239i | −2.63992 | − | 0.960854i | ||||
\(155\) | −3.18895 | + | 0.755796i | −0.256143 | + | 0.0607070i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.125292 | − | 2.15117i | 0.00999936 | − | 0.171682i | −0.989611 | − | 0.143771i | \(-0.954077\pi\) |
0.999610 | − | 0.0279117i | \(-0.00888574\pi\) | |||||||
\(158\) | −4.33546 | + | 4.59532i | −0.344911 | + | 0.365584i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −8.08364 | − | 18.7400i | −0.639068 | − | 1.48153i | ||||
\(161\) | 1.33260 | 0.105023 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 9.47594 | 0.742213 | 0.371106 | − | 0.928590i | \(-0.378979\pi\) | ||||
0.371106 | + | 0.928590i | \(0.378979\pi\) | |||||||
\(164\) | 11.9057 | + | 27.6005i | 0.929679 | + | 2.15524i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.536616 | − | 0.568780i | 0.0416495 | − | 0.0441459i | ||||
\(167\) | −0.222204 | + | 3.81509i | −0.0171946 | + | 0.295221i | 0.978738 | + | 0.205116i | \(0.0657572\pi\) |
−0.995932 | + | 0.0901046i | \(0.971280\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −12.1236 | + | 2.87334i | −0.932581 | + | 0.221026i | ||||
\(170\) | 8.93757 | + | 3.25301i | 0.685480 | + | 0.249494i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 21.9064 | − | 7.97329i | 1.67035 | − | 0.607958i | ||||
\(173\) | 6.99032 | − | 4.59760i | 0.531464 | − | 0.349549i | −0.255242 | − | 0.966877i | \(-0.582155\pi\) |
0.786706 | + | 0.617328i | \(0.211785\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −10.7925 | + | 1.26146i | −0.815835 | + | 0.0953574i | ||||
\(176\) | −3.92645 | − | 5.27413i | −0.295967 | − | 0.397553i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −0.734825 | − | 12.6165i | −0.0550775 | − | 0.945644i | ||||
\(179\) | −4.19854 | − | 3.52299i | −0.313814 | − | 0.263321i | 0.472252 | − | 0.881463i | \(-0.343441\pi\) |
−0.786066 | + | 0.618142i | \(0.787886\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 16.7963 | − | 14.0938i | 1.24846 | − | 1.04758i | 0.251645 | − | 0.967820i | \(-0.419028\pi\) |
0.996814 | − | 0.0797621i | \(-0.0254161\pi\) | |||||||
\(182\) | 3.31442 | + | 3.51308i | 0.245681 | + | 0.260407i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.786401 | − | 0.517224i | −0.0579743 | − | 0.0381303i | ||||
\(185\) | −10.6164 | − | 2.51614i | −0.780537 | − | 0.184991i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 7.65874 | + | 0.895178i | 0.560063 | + | 0.0654619i | ||||
\(188\) | 8.11647 | + | 14.0581i | 0.591955 | + | 1.02530i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −17.9953 | + | 31.1687i | −1.30551 | + | 2.26122i | ||||
\(191\) | 7.60922 | − | 10.2210i | 0.550584 | − | 0.739562i | −0.436511 | − | 0.899699i | \(-0.643786\pi\) |
0.987095 | + | 0.160136i | \(0.0511934\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −5.83150 | − | 19.4786i | −0.419761 | − | 1.40210i | −0.862777 | − | 0.505585i | \(-0.831277\pi\) |
0.443016 | − | 0.896514i | \(-0.353908\pi\) | |||||||
\(194\) | −14.0009 | + | 7.03150i | −1.00520 | + | 0.504832i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −1.46356 | + | 4.88862i | −0.104540 | + | 0.349187i | ||||
\(197\) | 0.696981 | + | 3.95277i | 0.0496578 | + | 0.281623i | 0.999518 | − | 0.0310522i | \(-0.00988582\pi\) |
−0.949860 | + | 0.312676i | \(0.898775\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0.667809 | − | 3.78734i | 0.0473398 | − | 0.268477i | −0.951946 | − | 0.306266i | \(-0.900920\pi\) |
0.999286 | + | 0.0377889i | \(0.0120314\pi\) | |||||||
\(200\) | 6.85856 | + | 3.44450i | 0.484973 | + | 0.243563i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −9.34128 | + | 21.6555i | −0.657250 | + | 1.52368i | ||||
\(203\) | −4.16143 | + | 9.64728i | −0.292075 | + | 0.677106i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 26.9182 | + | 13.5188i | 1.88005 | + | 0.944197i | ||||
\(206\) | −6.87773 | + | 39.0056i | −0.479195 | + | 2.71765i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0.158178 | + | 0.897070i | 0.0109676 | + | 0.0622006i | ||||
\(209\) | −8.36840 | + | 27.9524i | −0.578855 | + | 1.93351i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 6.36991 | − | 3.19909i | 0.438522 | − | 0.220234i | −0.215819 | − | 0.976433i | \(-0.569242\pi\) |
0.654342 | + | 0.756199i | \(0.272946\pi\) | |||||||
\(212\) | 3.08578 | + | 10.3072i | 0.211932 | + | 0.707904i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0.0661317 | − | 0.0888303i | 0.00452067 | − | 0.00607231i | ||||
\(215\) | 11.6808 | − | 20.2317i | 0.796621 | − | 1.37979i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.64429 | + | 2.84799i | 0.111621 | + | 0.193334i | ||||
\(218\) | 0.894100 | + | 0.104505i | 0.0605561 | + | 0.00707799i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 44.7120 | + | 10.5969i | 3.01448 | + | 0.714445i | ||||
\(221\) | −0.892501 | − | 0.587007i | −0.0600361 | − | 0.0394864i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −10.1902 | − | 10.8009i | −0.682384 | − | 0.723285i | 0.289908 | − | 0.957055i | \(-0.406375\pi\) |
−0.972292 | + | 0.233770i | \(0.924894\pi\) | |||||||
\(224\) | −15.6881 | + | 13.1639i | −1.04820 | + | 0.879548i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 19.3673 | + | 16.2511i | 1.28829 | + | 1.08101i | ||||
\(227\) | −0.782420 | − | 13.4336i | −0.0519310 | − | 0.891621i | −0.919202 | − | 0.393786i | \(-0.871165\pi\) |
0.867271 | − | 0.497836i | \(-0.165872\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −1.94638 | − | 2.61445i | −0.128621 | − | 0.172768i | 0.733148 | − | 0.680069i | \(-0.238050\pi\) |
−0.861768 | + | 0.507302i | \(0.830643\pi\) | |||||||
\(230\) | −2.93153 | + | 0.342647i | −0.193300 | + | 0.0225935i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 6.20020 | − | 4.07794i | 0.407063 | − | 0.267730i | ||||
\(233\) | −7.77413 | + | 2.82955i | −0.509300 | + | 0.185370i | −0.583872 | − | 0.811846i | \(-0.698463\pi\) |
0.0745722 | + | 0.997216i | \(0.476241\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 15.2861 | + | 5.56370i | 0.997158 | + | 0.362936i | ||||
\(236\) | −20.4950 | + | 4.85741i | −1.33411 | + | 0.316191i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.554928 | − | 9.52774i | 0.0359706 | − | 0.617592i | ||||
\(239\) | 8.96426 | − | 9.50156i | 0.579850 | − | 0.614605i | −0.369346 | − | 0.929292i | \(-0.620418\pi\) |
0.949195 | + | 0.314687i | \(0.101900\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.250623 | − | 0.581008i | −0.0161440 | − | 0.0374260i | 0.909953 | − | 0.414711i | \(-0.136117\pi\) |
−0.926097 | + | 0.377284i | \(0.876858\pi\) | |||||||
\(242\) | 38.1537 | 2.45261 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 12.8009 | 0.819493 | ||||||||
\(245\) | 2.02546 | + | 4.69553i | 0.129402 | + | 0.299987i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 2.77396 | − | 2.94023i | 0.176503 | − | 0.187082i | ||||
\(248\) | 0.135059 | − | 2.31888i | 0.00857627 | − | 0.147249i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −8.43197 | + | 1.99841i | −0.533285 | + | 0.126391i | ||||
\(251\) | −12.9984 | − | 4.73104i | −0.820454 | − | 0.298621i | −0.102519 | − | 0.994731i | \(-0.532690\pi\) |
−0.717935 | + | 0.696110i | \(0.754912\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.24852 | + | 0.818396i | −0.141364 | + | 0.0514521i | ||||
\(254\) | −24.2234 | + | 15.9320i | −1.51991 | + | 0.999662i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 7.13340 | − | 0.833775i | 0.445837 | − | 0.0521109i | ||||
\(257\) | −15.6489 | − | 21.0202i | −0.976153 | − | 1.31120i | −0.950234 | − | 0.311537i | \(-0.899156\pi\) |
−0.0259190 | − | 0.999664i | \(-0.508251\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.636574 | + | 10.9296i | 0.0395548 | + | 0.679130i | ||||
\(260\) | −4.87652 | − | 4.09189i | −0.302429 | − | 0.253768i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −13.6332 | + | 11.4396i | −0.842259 | + | 0.706739i | ||||
\(263\) | 0.976219 | + | 1.03473i | 0.0601963 | + | 0.0638043i | 0.756772 | − | 0.653679i | \(-0.226775\pi\) |
−0.696576 | + | 0.717483i | \(0.745294\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 9.00817 | + | 5.92477i | 0.553367 | + | 0.363955i | ||||
\(266\) | 35.1409 | + | 8.32855i | 2.15463 | + | 0.510656i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −33.0383 | − | 3.86163i | −2.01814 | − | 0.235887i | ||||
\(269\) | 2.73320 | + | 4.73405i | 0.166646 | + | 0.288640i | 0.937239 | − | 0.348688i | \(-0.113373\pi\) |
−0.770592 | + | 0.637328i | \(0.780039\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −15.3667 | + | 26.6158i | −0.933458 | + | 1.61680i | −0.156099 | + | 0.987741i | \(0.549892\pi\) |
−0.777360 | + | 0.629056i | \(0.783442\pi\) | |||||||
\(272\) | 1.07488 | − | 1.44381i | 0.0651740 | − | 0.0875439i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −6.57839 | − | 21.9733i | −0.397415 | − | 1.32746i | ||||
\(275\) | 17.4357 | − | 8.75656i | 1.05142 | − | 0.528041i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −1.30655 | + | 4.36417i | −0.0785029 | + | 0.262218i | −0.988227 | − | 0.152996i | \(-0.951108\pi\) |
0.909724 | + | 0.415213i | \(0.136293\pi\) | |||||||
\(278\) | −6.73596 | − | 38.2015i | −0.403996 | − | 2.29117i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 3.15617 | − | 17.8995i | 0.188617 | − | 1.06970i | ||||
\(281\) | −16.3300 | − | 8.20123i | −0.974166 | − | 0.489244i | −0.110811 | − | 0.993842i | \(-0.535345\pi\) |
−0.863355 | + | 0.504597i | \(0.831641\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −9.38158 | + | 21.7489i | −0.557677 | + | 1.29284i | 0.373282 | + | 0.927718i | \(0.378232\pi\) |
−0.930959 | + | 0.365123i | \(0.881027\pi\) | |||||||
\(284\) | −15.6612 | + | 36.3066i | −0.929319 | + | 2.15440i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −7.75003 | − | 3.89221i | −0.458269 | − | 0.230151i | ||||
\(287\) | 5.24867 | − | 29.7667i | 0.309819 | − | 1.75707i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −2.58547 | − | 14.6629i | −0.152086 | − | 0.862525i | ||||
\(290\) | 6.67402 | − | 22.2928i | 0.391912 | − | 1.30908i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −10.4258 | + | 5.23603i | −0.610123 | + | 0.306415i | ||||
\(293\) | −1.36749 | − | 4.56773i | −0.0798895 | − | 0.266849i | 0.908708 | − | 0.417433i | \(-0.137070\pi\) |
−0.988597 | + | 0.150583i | \(0.951885\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −12.6043 | + | 16.9306i | −0.733854 | + | 0.985736i | ||||
\(296\) | 3.86647 | − | 6.69691i | 0.224734 | − | 0.389250i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −9.23901 | − | 16.0024i | −0.535202 | − | 0.926996i | ||||
\(299\) | 0.329253 | + | 0.0384842i | 0.0190412 | + | 0.00222560i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −22.8100 | − | 5.40607i | −1.31475 | − | 0.311601i | ||||
\(302\) | 32.6815 | + | 21.4950i | 1.88061 | + | 1.23690i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 4.67413 | + | 4.95429i | 0.268080 | + | 0.284148i | ||||
\(305\) | 9.82673 | − | 8.24560i | 0.562677 | − | 0.472142i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −8.26674 | − | 6.93662i | −0.471808 | − | 0.395894i | 0.375646 | − | 0.926763i | \(-0.377421\pi\) |
−0.847453 | + | 0.530870i | \(0.821865\pi\) | |||||||
\(308\) | −2.68098 | − | 46.0307i | −0.152763 | − | 2.62284i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −4.34951 | − | 5.84241i | −0.247036 | − | 0.331826i | ||||
\(311\) | 9.61593 | − | 1.12394i | 0.545269 | − | 0.0637328i | 0.161001 | − | 0.986954i | \(-0.448528\pi\) |
0.384268 | + | 0.923221i | \(0.374454\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 5.33634 | − | 3.50977i | 0.301628 | − | 0.198384i | −0.389668 | − | 0.920955i | \(-0.627410\pi\) |
0.691296 | + | 0.722571i | \(0.257040\pi\) | |||||||
\(314\) | 4.50020 | − | 1.63794i | 0.253961 | − | 0.0924343i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −7.85165 | − | 2.85777i | −0.441690 | − | 0.160762i | ||||
\(317\) | 20.0555 | − | 4.75324i | 1.12643 | − | 0.266969i | 0.375157 | − | 0.926961i | \(-0.377589\pi\) |
0.751272 | + | 0.659993i | \(0.229441\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 1.09694 | − | 18.8338i | 0.0614171 | − | 1.05449i | ||||
\(320\) | 26.1184 | − | 27.6839i | 1.46006 | − | 1.54758i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 1.17305 | + | 2.71943i | 0.0653714 | + | 0.151548i | ||||
\(323\) | −7.98763 | −0.444444 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −2.70300 | −0.149936 | ||||||||
\(326\) | 8.34142 | + | 19.3376i | 0.461989 | + | 1.07101i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −14.6508 | + | 15.5290i | −0.808957 | + | 0.857444i | ||||
\(329\) | 0.949107 | − | 16.2955i | 0.0523259 | − | 0.898402i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 19.7505 | − | 4.68095i | 1.08558 | − | 0.257288i | 0.351391 | − | 0.936229i | \(-0.385709\pi\) |
0.734193 | + | 0.678941i | \(0.237561\pi\) | |||||||
\(332\) | 0.971828 | + | 0.353716i | 0.0533360 | + | 0.0194127i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −7.98107 | + | 2.90487i | −0.436705 | + | 0.158948i | ||||
\(335\) | −27.8497 | + | 18.3170i | −1.52159 | + | 1.00077i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 3.63159 | − | 0.424472i | 0.197825 | − | 0.0231225i | −0.0166032 | − | 0.999862i | \(-0.505285\pi\) |
0.214428 | + | 0.976740i | \(0.431211\pi\) | |||||||
\(338\) | −16.5357 | − | 22.2113i | −0.899422 | − | 1.20813i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.731411 | + | 12.5578i | 0.0396663 | + | 0.681045i | ||||
\(341\) | −4.52350 | − | 3.79567i | −0.244961 | − | 0.205547i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −11.9185 | + | 10.0008i | −0.643537 | + | 0.539992i | ||||
\(344\) | 11.3626 | + | 12.0436i | 0.612628 | + | 0.649347i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 15.5357 | + | 10.2180i | 0.835207 | + | 0.549324i | ||||
\(347\) | −28.3703 | − | 6.72388i | −1.52300 | − | 0.360957i | −0.617932 | − | 0.786232i | \(-0.712029\pi\) |
−0.905064 | + | 0.425275i | \(0.860177\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −16.8175 | − | 1.96569i | −0.900222 | − | 0.105221i | −0.346623 | − | 0.938004i | \(-0.612672\pi\) |
−0.553599 | + | 0.832784i | \(0.686746\pi\) | |||||||
\(350\) | −12.0746 | − | 20.9138i | −0.645415 | − | 1.11789i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 18.3865 | − | 31.8464i | 0.980005 | − | 1.69742i | ||||
\(353\) | 13.5844 | − | 18.2471i | 0.723027 | − | 0.971194i | −0.276920 | − | 0.960893i | \(-0.589314\pi\) |
0.999947 | − | 0.0103008i | \(-0.00327892\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 11.3642 | + | 37.9592i | 0.603151 | + | 2.01466i | ||||
\(356\) | 14.9365 | − | 7.50139i | 0.791633 | − | 0.397573i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 3.49352 | − | 11.6692i | 0.184638 | − | 0.616735i | ||||
\(359\) | 2.65948 | + | 15.0826i | 0.140362 | + | 0.796032i | 0.970975 | + | 0.239182i | \(0.0768791\pi\) |
−0.830613 | + | 0.556850i | \(0.812010\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 1.94928 | − | 11.0549i | 0.102593 | − | 0.581836i | ||||
\(362\) | 43.5466 | + | 21.8699i | 2.28876 | + | 1.14946i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −2.53006 | + | 5.86533i | −0.132611 | + | 0.307427i | ||||
\(365\) | −4.63071 | + | 10.7352i | −0.242382 | + | 0.561906i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 12.5438 | + | 6.29975i | 0.654782 | + | 0.328844i | 0.744987 | − | 0.667079i | \(-0.232456\pi\) |
−0.0902045 | + | 0.995923i | \(0.528752\pi\) | |||||||
\(368\) | −0.0969946 | + | 0.550084i | −0.00505619 | + | 0.0286751i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −4.21068 | − | 23.8799i | −0.218903 | − | 1.24146i | ||||
\(371\) | 3.10293 | − | 10.3645i | 0.161096 | − | 0.538099i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −24.3484 | + | 12.2282i | −1.26071 | + | 0.633153i | −0.948475 | − | 0.316852i | \(-0.897374\pi\) |
−0.312236 | + | 0.950005i | \(0.601078\pi\) | |||||||
\(374\) | 4.91499 | + | 16.4172i | 0.254148 | + | 0.848914i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −6.88493 | + | 9.24807i | −0.355063 | + | 0.476933i | ||||
\(377\) | −1.30680 | + | 2.26344i | −0.0673035 | + | 0.116573i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −4.29852 | − | 7.44526i | −0.220800 | − | 0.382437i | 0.734251 | − | 0.678878i | \(-0.237534\pi\) |
−0.955051 | + | 0.296441i | \(0.904200\pi\) | |||||||
\(380\) | −47.2779 | − | 5.52600i | −2.42531 | − | 0.283478i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 27.5561 | + | 6.53093i | 1.40989 | + | 0.334151i | ||||
\(383\) | −16.1154 | − | 10.5992i | −0.823456 | − | 0.541596i | 0.0664232 | − | 0.997792i | \(-0.478841\pi\) |
−0.889879 | + | 0.456196i | \(0.849212\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −31.7084 | − | 33.6090i | −1.61601 | − | 1.71287i | ||||
\(386\) | 34.6167 | − | 29.0469i | 1.76194 | − | 1.47845i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −15.8733 | − | 13.3193i | −0.805844 | − | 0.676183i | ||||
\(389\) | −1.81076 | − | 31.0895i | −0.0918091 | − | 1.57630i | −0.658635 | − | 0.752463i | \(-0.728866\pi\) |
0.566826 | − | 0.823838i | \(-0.308171\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.391166 | − | 0.525427i | −0.0197821 | − | 0.0265720i | ||||
\(392\) | −3.59991 | + | 0.420769i | −0.181823 | + | 0.0212520i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −7.45291 | + | 4.90185i | −0.375472 | + | 0.246952i | ||||
\(395\) | −7.86821 | + | 2.86379i | −0.395893 | + | 0.144093i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −10.0204 | − | 3.64712i | −0.502908 | − | 0.183044i | 0.0780935 | − | 0.996946i | \(-0.475117\pi\) |
−0.581002 | + | 0.813902i | \(0.697339\pi\) | |||||||
\(398\) | 8.31668 | − | 1.97109i | 0.416878 | − | 0.0988018i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.264824 | − | 4.54686i | 0.0132412 | − | 0.227343i | ||||
\(401\) | −5.55906 | + | 5.89226i | −0.277606 | + | 0.294246i | −0.851142 | − | 0.524935i | \(-0.824090\pi\) |
0.573536 | + | 0.819180i | \(0.305571\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.324017 | + | 0.751157i | 0.0161405 | + | 0.0374178i | ||||
\(404\) | −31.1918 | −1.55185 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −23.3504 | −1.15886 | ||||||||
\(407\) | −7.78636 | − | 18.0508i | −0.385956 | − | 0.894745i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 25.7216 | − | 27.2633i | 1.27185 | − | 1.34808i | 0.362539 | − | 0.931968i | \(-0.381910\pi\) |
0.909312 | − | 0.416115i | \(-0.136609\pi\) | |||||||
\(410\) | −3.89254 | + | 66.8324i | −0.192239 | + | 3.30062i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −50.9712 | + | 12.0804i | −2.51117 | + | 0.595159i | ||||
\(413\) | 19.9025 | + | 7.24393i | 0.979339 | + | 0.356450i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0.973877 | − | 0.354462i | 0.0478058 | − | 0.0173999i | ||||
\(416\) | −4.25632 | + | 2.79943i | −0.208683 | + | 0.137253i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −64.4091 | + | 7.52834i | −3.15035 | + | 0.368223i | ||||
\(419\) | 7.70081 | + | 10.3440i | 0.376209 | + | 0.505337i | 0.949393 | − | 0.314090i | \(-0.101699\pi\) |
−0.573184 | + | 0.819427i | \(0.694292\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.34506 | − | 23.0938i | −0.0655543 | − | 1.12552i | −0.857349 | − | 0.514736i | \(-0.827890\pi\) |
0.791794 | − | 0.610788i | \(-0.209147\pi\) | |||||||
\(422\) | 12.1357 | + | 10.1830i | 0.590754 | + | 0.495702i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −5.85394 | + | 4.91204i | −0.284292 | + | 0.238550i | ||||
\(425\) | 3.66537 | + | 3.88507i | 0.177797 | + | 0.188453i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −10.7544 | − | 7.07329i | −0.520443 | − | 0.342300i | ||||
\(428\) | 0.142518 | + | 0.0337774i | 0.00688887 | + | 0.00163269i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 51.5691 | + | 6.02757i | 2.48688 | + | 0.290675i | ||||
\(431\) | −11.3499 | − | 19.6586i | −0.546706 | − | 0.946923i | −0.998497 | − | 0.0547992i | \(-0.982548\pi\) |
0.451791 | − | 0.892124i | \(-0.350785\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 9.10550 | − | 15.7712i | 0.437583 | − | 0.757915i | −0.559920 | − | 0.828547i | \(-0.689168\pi\) |
0.997502 | + | 0.0706315i | \(0.0225015\pi\) | |||||||
\(434\) | −4.36448 | + | 5.86251i | −0.209502 | + | 0.281409i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.341455 | + | 1.14054i | 0.0163527 | + | 0.0546219i | ||||
\(437\) | 2.21506 | − | 1.11244i | 0.105961 | − | 0.0532154i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −7.88601 | + | 26.3411i | −0.376379 | + | 1.25719i | 0.534728 | + | 0.845024i | \(0.320414\pi\) |
−0.911107 | + | 0.412169i | \(0.864771\pi\) | |||||||
\(440\) | 5.66727 | + | 32.1407i | 0.270177 | + | 1.53225i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.412263 | − | 2.33806i | 0.0196093 | − | 0.111210i | ||||
\(443\) | −10.9576 | − | 5.50312i | −0.520612 | − | 0.261461i | 0.169031 | − | 0.985611i | \(-0.445936\pi\) |
−0.689643 | + | 0.724150i | \(0.742232\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 6.63418 | − | 15.3798i | 0.314491 | − | 0.729071i | ||||
\(446\) | 13.0714 | − | 30.3029i | 0.618949 | − | 1.43488i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −34.1287 | − | 17.1401i | −1.61243 | − | 0.809793i | ||||
\(449\) | 1.20505 | − | 6.83416i | 0.0568697 | − | 0.322524i | −0.943080 | − | 0.332566i | \(-0.892085\pi\) |
0.999950 | + | 0.0100422i | \(0.00319658\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 9.42460 | + | 53.4496i | 0.443787 | + | 2.51684i | ||||
\(452\) | −9.58995 | + | 32.0327i | −0.451073 | + | 1.50669i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 26.7253 | − | 13.4220i | 1.25428 | − | 0.629924i | ||||
\(455\) | 1.83589 | + | 6.13230i | 0.0860679 | + | 0.287487i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 17.8340 | − | 23.9553i | 0.834241 | − | 1.12058i | −0.156880 | − | 0.987618i | \(-0.550144\pi\) |
0.991121 | − | 0.132962i | \(-0.0424490\pi\) | |||||||
\(458\) | 3.62196 | − | 6.27342i | 0.169243 | − | 0.293138i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −1.95177 | − | 3.38056i | −0.0910017 | − | 0.157620i | ||||
\(461\) | 0.814896 | + | 0.0952477i | 0.0379535 | + | 0.00443613i | 0.135048 | − | 0.990839i | \(-0.456881\pi\) |
−0.0970950 | + | 0.995275i | \(0.530955\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −27.8479 | − | 6.60007i | −1.29420 | − | 0.306731i | −0.474872 | − | 0.880055i | \(-0.657506\pi\) |
−0.819329 | + | 0.573324i | \(0.805654\pi\) | |||||||
\(464\) | −3.67942 | − | 2.41999i | −0.170813 | − | 0.112345i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −12.6176 | − | 13.3739i | −0.584501 | − | 0.619535i | ||||
\(467\) | −9.57011 | + | 8.03027i | −0.442852 | + | 0.371597i | −0.836775 | − | 0.547546i | \(-0.815562\pi\) |
0.393924 | + | 0.919143i | \(0.371117\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 25.6227 | + | 21.5000i | 1.18315 | + | 0.992779i | ||||
\(470\) | 2.10212 | + | 36.0921i | 0.0969638 | + | 1.66480i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −8.93343 | − | 11.9997i | −0.411194 | − | 0.552330i | ||||
\(473\) | 41.8081 | − | 4.88666i | 1.92234 | − | 0.224689i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −16.8863 | + | 11.1063i | −0.774799 | + | 0.509593i | ||||
\(476\) | 11.8612 | − | 4.31712i | 0.543656 | − | 0.197875i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 27.2809 | + | 9.92943i | 1.24780 | + | 0.454161i | ||||
\(479\) | −4.41364 | + | 1.04605i | −0.201664 | + | 0.0477953i | −0.330206 | − | 0.943909i | \(-0.607118\pi\) |
0.128542 | + | 0.991704i | \(0.458970\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.158354 | + | 2.71883i | −0.00722030 | + | 0.123968i | ||||
\(482\) | 0.965049 | − | 1.02289i | 0.0439568 | − | 0.0465915i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 19.9864 | + | 46.3338i | 0.908475 | + | 2.10608i | ||||
\(485\) | −20.7648 | −0.942881 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −28.2887 | −1.28188 | −0.640941 | − | 0.767590i | \(-0.721456\pi\) | ||||
−0.640941 | + | 0.767590i | \(0.721456\pi\) | |||||||
\(488\) | 3.60110 | + | 8.34829i | 0.163014 | + | 0.377909i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −7.79924 | + | 8.26671i | −0.352334 | + | 0.373452i | ||||
\(491\) | −1.13872 | + | 19.5510i | −0.0513896 | + | 0.882325i | 0.869847 | + | 0.493322i | \(0.164218\pi\) |
−0.921236 | + | 0.389003i | \(0.872820\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 5.02534 | − | 1.19103i | 0.226330 | − | 0.0536412i | ||||
\(494\) | 8.44198 | + | 3.07263i | 0.379823 | + | 0.138244i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −1.29531 | + | 0.471453i | −0.0581609 | + | 0.0211688i | ||||
\(497\) | 33.2191 | − | 21.8486i | 1.49008 | − | 0.980042i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 29.3991 | − | 3.43626i | 1.31608 | − | 0.153828i | 0.571083 | − | 0.820892i | \(-0.306523\pi\) |
0.745000 | + | 0.667064i | \(0.232449\pi\) | |||||||
\(500\) | −6.84389 | − | 9.19294i | −0.306068 | − | 0.411121i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −1.78752 | − | 30.6906i | −0.0797810 | − | 1.36979i | ||||
\(503\) | 18.2284 | + | 15.2955i | 0.812765 | + | 0.681991i | 0.951266 | − | 0.308371i | \(-0.0997839\pi\) |
−0.138501 | + | 0.990362i | \(0.544228\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −23.9447 | + | 20.0920i | −1.06553 | + | 0.894082i | ||||
\(506\) | −3.64942 | − | 3.86816i | −0.162237 | − | 0.171961i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −32.0370 | − | 21.0711i | −1.42141 | − | 0.934878i | ||||
\(509\) | 12.1044 | + | 2.86880i | 0.536519 | + | 0.127157i | 0.489938 | − | 0.871757i | \(-0.337019\pi\) |
0.0465808 | + | 0.998915i | \(0.485167\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 11.6523 | + | 1.36195i | 0.515466 | + | 0.0602493i | ||||
\(512\) | −6.87849 | − | 11.9139i | −0.303989 | − | 0.526525i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 29.1206 | − | 50.4383i | 1.28445 | − | 2.22474i | ||||
\(515\) | −31.3471 | + | 42.1064i | −1.38132 | + | 1.85543i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 8.40624 | + | 28.0788i | 0.369706 | + | 1.23490i | ||||
\(518\) | −21.7436 | + | 10.9201i | −0.955361 | + | 0.479800i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 1.29674 | − | 4.33141i | 0.0568658 | − | 0.189945i | ||||
\(521\) | 6.26330 | + | 35.5209i | 0.274400 | + | 1.55620i | 0.740861 | + | 0.671659i | \(0.234418\pi\) |
−0.466461 | + | 0.884542i | \(0.654471\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −3.40284 | + | 19.2985i | −0.148796 | + | 0.843864i | 0.815445 | + | 0.578835i | \(0.196493\pi\) |
−0.964241 | + | 0.265029i | \(0.914619\pi\) | |||||||
\(524\) | −21.0338 | − | 10.5636i | −0.918867 | − | 0.461472i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −1.25224 | + | 2.90302i | −0.0546003 | + | 0.126578i | ||||
\(527\) | 0.640270 | − | 1.48431i | 0.0278906 | − | 0.0646576i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −20.3719 | − | 10.2312i | −0.885735 | − | 0.444833i | ||||
\(530\) | −4.16104 | + | 23.5984i | −0.180744 | + | 1.02505i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 8.29406 | + | 47.0379i | 0.359593 | + | 2.03935i | ||||
\(533\) | 2.15646 | − | 7.20308i | 0.0934067 | − | 0.312000i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0.131163 | − | 0.0658724i | 0.00567066 | − | 0.00284791i | ||||
\(536\) | −6.77582 | − | 22.6328i | −0.292671 | − | 0.977588i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −7.25483 | + | 9.74492i | −0.312778 | + | 0.420133i | ||||
\(539\) | −4.60697 | + | 7.97951i | −0.198436 | + | 0.343702i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 9.81665 | + | 17.0029i | 0.422051 | + | 0.731013i | 0.996140 | − | 0.0877794i | \(-0.0279771\pi\) |
−0.574089 | + | 0.818793i | \(0.694644\pi\) | |||||||
\(542\) | −67.8419 | − | 7.92959i | −2.91406 | − | 0.340605i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 9.79539 | + | 2.32155i | 0.419974 | + | 0.0995356i | ||||
\(545\) | 0.996792 | + | 0.655600i | 0.0426979 | + | 0.0280828i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 20.9915 | + | 22.2497i | 0.897533 | + | 0.951329i | 0.999053 | − | 0.0435043i | \(-0.0138522\pi\) |
−0.101520 | + | 0.994833i | \(0.532371\pi\) | |||||||
\(548\) | 23.2384 | − | 19.4993i | 0.992695 | − | 0.832970i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 33.2178 | + | 27.8730i | 1.41641 | + | 1.18851i | ||||
\(551\) | 1.13631 | + | 19.5098i | 0.0484086 | + | 0.831144i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 5.01732 | + | 6.73942i | 0.213358 | + | 0.286589i | ||||
\(554\) | −10.0561 | + | 1.17539i | −0.427243 | + | 0.0499375i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 42.8633 | − | 28.1917i | 1.81781 | − | 1.19559i | ||||
\(557\) | −31.4323 | + | 11.4404i | −1.33183 | + | 0.484746i | −0.907230 | − | 0.420636i | \(-0.861807\pi\) |
−0.424599 | + | 0.905382i | \(0.639585\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −5.47970 | − | 1.99445i | −0.231767 | − | 0.0843562i | ||||
\(560\) | −10.4953 | + | 2.48744i | −0.443509 | + | 0.105113i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 2.36142 | − | 40.5440i | 0.0996105 | − | 1.71025i | ||||
\(563\) | 0.144057 | − | 0.152692i | 0.00607128 | − | 0.00643518i | −0.724331 | − | 0.689453i | \(-0.757851\pi\) |
0.730402 | + | 0.683017i | \(0.239333\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 13.2718 | + | 30.7675i | 0.558349 | + | 1.29440i | ||||
\(566\) | −52.6415 | −2.21269 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −28.0837 | −1.17836 | ||||||||
\(569\) | 16.2102 | + | 37.5794i | 0.679566 | + | 1.57541i | 0.811632 | + | 0.584169i | \(0.198580\pi\) |
−0.132066 | + | 0.991241i | \(0.542161\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −19.2901 | + | 20.4463i | −0.807267 | + | 0.855653i | −0.991882 | − | 0.127158i | \(-0.959414\pi\) |
0.184616 | + | 0.982811i | \(0.440896\pi\) | |||||||
\(572\) | 0.666918 | − | 11.4505i | 0.0278852 | − | 0.478771i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 65.3653 | − | 15.4919i | 2.72829 | − | 0.646618i | ||||
\(575\) | −1.55752 | − | 0.566892i | −0.0649532 | − | 0.0236410i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −12.8095 | + | 4.66227i | −0.533266 | + | 0.194093i | −0.594596 | − | 0.804025i | \(-0.702688\pi\) |
0.0613301 | + | 0.998118i | \(0.480466\pi\) | |||||||
\(578\) | 27.6468 | − | 18.1836i | 1.14995 | − | 0.756336i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 30.5685 | − | 3.57294i | 1.26929 | − | 0.148358i | ||||
\(581\) | −0.621012 | − | 0.834164i | −0.0257639 | − | 0.0346069i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 1.12957 | + | 19.3940i | 0.0467820 | + | 0.803216i | ||||
\(584\) | −6.34770 | − | 5.32636i | −0.262670 | − | 0.220406i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 8.11761 | − | 6.81149i | 0.335336 | − | 0.281380i | ||||
\(587\) | 19.2852 | + | 20.4412i | 0.795987 | + | 0.843697i | 0.990544 | − | 0.137194i | \(-0.0438084\pi\) |
−0.194557 | + | 0.980891i | \(0.562327\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 5.11064 | + | 3.36132i | 0.210580 | + | 0.138501i | ||||
\(590\) | −45.6456 | − | 10.8182i | −1.87920 | − | 0.445378i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −4.55796 | − | 0.532749i | −0.187331 | − | 0.0218959i | ||||
\(593\) | 2.12487 | + | 3.68039i | 0.0872581 | + | 0.151135i | 0.906351 | − | 0.422525i | \(-0.138856\pi\) |
−0.819093 | + | 0.573661i | \(0.805523\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 6.32451 | − | 10.9544i | 0.259280 | − | 0.449086i | ||||
\(596\) | 14.5936 | − | 19.6026i | 0.597777 | − | 0.802953i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0.211298 | + | 0.705785i | 0.00864063 | + | 0.0288617i | ||||
\(599\) | −18.9670 | + | 9.52557i | −0.774970 | + | 0.389204i | −0.791899 | − | 0.610652i | \(-0.790907\pi\) |
0.0169292 | + | 0.999857i | \(0.494611\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 11.1975 | − | 37.4023i | 0.456757 | − | 1.52567i | −0.351125 | − | 0.936329i | \(-0.614201\pi\) |
0.807882 | − | 0.589345i | \(-0.200614\pi\) | |||||||
\(602\) | −9.04687 | − | 51.3073i | −0.368723 | − | 2.09113i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −8.98358 | + | 50.9484i | −0.365537 | + | 2.07306i | ||||
\(605\) | 45.1884 | + | 22.6945i | 1.83717 | + | 0.922661i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 17.7038 | − | 41.0420i | 0.718574 | − | 1.66584i | −0.0271878 | − | 0.999630i | \(-0.508655\pi\) |
0.745762 | − | 0.666212i | \(-0.232086\pi\) | |||||||
\(608\) | −15.0878 | + | 34.9775i | −0.611892 | + | 1.41852i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 25.4770 | + | 12.7951i | 1.03154 | + | 0.518057i | ||||
\(611\) | 0.705103 | − | 3.99884i | 0.0285254 | − | 0.161776i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −7.96425 | − | 45.1675i | −0.321673 | − | 1.82430i | −0.532091 | − | 0.846687i | \(-0.678594\pi\) |
0.210418 | − | 0.977611i | \(-0.432517\pi\) | |||||||
\(614\) | 6.87859 | − | 22.9761i | 0.277597 | − | 0.927239i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 29.2654 | − | 14.6976i | 1.17914 | − | 0.592185i | ||||
\(617\) | −6.22717 | − | 20.8002i | −0.250696 | − | 0.837384i | −0.986998 | − | 0.160731i | \(-0.948615\pi\) |
0.736302 | − | 0.676653i | \(-0.236570\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −17.5933 | + | 23.6319i | −0.707135 | + | 0.949848i | −0.999980 | − | 0.00631239i | \(-0.997991\pi\) |
0.292845 | + | 0.956160i | \(0.405398\pi\) | |||||||
\(620\) | 4.81657 | − | 8.34254i | 0.193438 | − | 0.335044i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 10.7583 | + | 18.6339i | 0.431368 | + | 0.747151i | ||||
\(623\) | −16.6936 | − | 1.95120i | −0.668815 | − | 0.0781733i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −29.0613 | − | 6.88765i | −1.16245 | − | 0.275506i | ||||
\(626\) | 11.8598 | + | 7.80034i | 0.474015 | + | 0.311764i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 4.34650 | + | 4.60703i | 0.173444 | + | 0.183840i | ||||
\(629\) | 4.12254 | − | 3.45922i | 0.164376 | − | 0.137928i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −23.1628 | − | 19.4359i | −0.922098 | − | 0.773732i | 0.0522840 | − | 0.998632i | \(-0.483350\pi\) |
−0.974382 | + | 0.224900i | \(0.927794\pi\) | |||||||
\(632\) | −0.345063 | − | 5.92451i | −0.0137259 | − | 0.235664i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 27.3543 | + | 36.7432i | 1.08638 | + | 1.45926i | ||||
\(635\) | −38.1663 | + | 4.46100i | −1.51458 | + | 0.177030i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 1.06647 | − | 0.701431i | 0.0422553 | − | 0.0277917i | ||||
\(638\) | 39.3998 | − | 14.3404i | 1.55985 | − | 0.567741i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 41.1293 | + | 14.9699i | 1.62578 | + | 0.591735i | ||||
\(641\) | 0.595982 | − | 0.141250i | 0.0235399 | − | 0.00557905i | −0.218829 | − | 0.975763i | \(-0.570224\pi\) |
0.242369 | + | 0.970184i | \(0.422076\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −1.08540 | + | 18.6357i | −0.0428042 | + | 0.734919i | 0.906818 | + | 0.421522i | \(0.138504\pi\) |
−0.949622 | + | 0.313397i | \(0.898533\pi\) | |||||||
\(644\) | −2.68799 | + | 2.84910i | −0.105922 | + | 0.112270i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −7.03130 | − | 16.3004i | −0.276643 | − | 0.641330i | ||||
\(647\) | 44.8197 | 1.76204 | 0.881022 | − | 0.473075i | \(-0.156856\pi\) | ||||
0.881022 | + | 0.473075i | \(0.156856\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −38.0309 | −1.49284 | ||||||||
\(650\) | −2.37938 | − | 5.51603i | −0.0933270 | − | 0.216356i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −19.1140 | + | 20.2596i | −0.748561 | + | 0.793429i | ||||
\(653\) | 2.87763 | − | 49.4069i | 0.112610 | − | 1.93344i | −0.192833 | − | 0.981232i | \(-0.561767\pi\) |
0.305443 | − | 0.952210i | \(-0.401195\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −22.9513 | + | 5.43955i | −0.896781 | + | 0.212541i | ||||
\(656\) | 11.9054 | + | 4.33321i | 0.464828 | + | 0.169183i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 34.0898 | − | 12.4077i | 1.32896 | − | 0.483702i | ||||
\(659\) | 9.50779 | − | 6.25337i | 0.370371 | − | 0.243597i | −0.350655 | − | 0.936505i | \(-0.614041\pi\) |
0.721026 | + | 0.692908i | \(0.243671\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −2.62498 | + | 0.306816i | −0.102100 | + | 0.0119337i | −0.166989 | − | 0.985959i | \(-0.553405\pi\) |
0.0648896 | + | 0.997892i | \(0.479330\pi\) | |||||||
\(662\) | 26.9382 | + | 36.1843i | 1.04698 | + | 1.40634i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0.0427098 | + | 0.733298i | 0.00165746 | + | 0.0284575i | ||||
\(665\) | 36.6662 | + | 30.7666i | 1.42185 | + | 1.19308i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −1.22771 | + | 1.03017i | −0.0475370 | + | 0.0398883i | ||||
\(668\) | −7.70849 | − | 8.17052i | −0.298250 | − | 0.316127i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −61.8949 | − | 40.7089i | −2.39121 | − | 1.57272i | ||||
\(671\) | 22.4902 | + | 5.33027i | 0.868224 | + | 0.205773i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 2.32816 | + | 0.272123i | 0.0897442 | + | 0.0104896i | 0.160846 | − | 0.986979i | \(-0.448578\pi\) |
−0.0711023 | + | 0.997469i | \(0.522652\pi\) | |||||||
\(674\) | 4.06301 | + | 7.03734i | 0.156501 | + | 0.271068i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 18.3113 | − | 31.7161i | 0.704281 | − | 1.21985i | ||||
\(677\) | −5.57808 | + | 7.49266i | −0.214383 | + | 0.287966i | −0.896286 | − | 0.443476i | \(-0.853745\pi\) |
0.681903 | + | 0.731442i | \(0.261153\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 5.97590 | + | 19.9609i | 0.229334 | + | 0.766029i | ||||
\(680\) | −7.98403 | + | 4.00973i | −0.306174 | + | 0.153766i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 3.76392 | − | 12.5724i | 0.144128 | − | 0.481420i | ||||
\(683\) | 5.08900 | + | 28.8612i | 0.194725 | + | 1.10434i | 0.912809 | + | 0.408386i | \(0.133908\pi\) |
−0.718084 | + | 0.695956i | \(0.754981\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 5.27883 | − | 29.9377i | 0.201694 | − | 1.14386i | ||||
\(686\) | −30.9002 | − | 15.5187i | −1.17977 | − | 0.592505i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 3.89184 | − | 9.02229i | 0.148375 | − | 0.343972i | ||||
\(689\) | 1.06598 | − | 2.47122i | 0.0406106 | − | 0.0941460i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −12.1669 | − | 6.11043i | −0.462849 | − | 0.232452i | 0.202064 | − | 0.979372i | \(-0.435235\pi\) |
−0.664913 | + | 0.746921i | \(0.731531\pi\) | |||||||
\(692\) | −4.27050 | + | 24.2192i | −0.162340 | + | 0.920677i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −11.2522 | − | 63.8142i | −0.427126 | − | 2.42235i | ||||
\(695\) | 14.7450 | − | 49.2518i | 0.559310 | − | 1.86823i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −13.2773 | + | 6.66813i | −0.502915 | + | 0.252573i | ||||
\(698\) | −10.7926 | − | 36.0500i | −0.408508 | − | 1.36451i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 19.0726 | − | 25.6189i | 0.720876 | − | 0.968304i | ||||
\(701\) | −20.8102 | + | 36.0443i | −0.785989 | + | 1.36137i | 0.142418 | + | 0.989807i | \(0.454512\pi\) |
−0.928407 | + | 0.371566i | \(0.878821\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 10.1821 | + | 17.6358i | 0.384024 | + | 0.665149i | ||||
\(704\) | 68.1127 | + | 7.96124i | 2.56709 | + | 0.300050i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 49.1949 | + | 11.6594i | 1.85147 | + | 0.438808i | ||||
\(707\) | 26.2052 | + | 17.2354i | 0.985548 | + | 0.648205i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 7.92161 | + | 8.39642i | 0.297502 | + | 0.315334i | 0.858831 | − | 0.512259i | \(-0.171191\pi\) |
−0.561329 | + | 0.827593i | \(0.689710\pi\) | |||||||
\(710\) | −67.4598 | + | 56.6055i | −2.53172 | + | 2.12437i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 9.09403 | + | 7.63080i | 0.340813 | + | 0.285976i | ||||
\(713\) | 0.0291675 | + | 0.500787i | 0.00109233 | + | 0.0187546i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −6.86382 | − | 9.21971i | −0.256692 | − | 0.344798i | ||||
\(716\) | 16.0011 | − | 1.87026i | 0.597989 | − | 0.0698949i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −28.4382 | + | 18.7041i | −1.06130 | + | 0.698030i | ||||
\(719\) | −29.9388 | + | 10.8968i | −1.11653 | + | 0.406383i | −0.833384 | − | 0.552695i | \(-0.813599\pi\) |
−0.283143 | + | 0.959078i | \(0.591377\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 49.4976 | + | 18.0157i | 1.84339 | + | 0.670939i | ||||
\(722\) | 24.2757 | − | 5.75344i | 0.903446 | − | 0.214121i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −3.74734 | + | 64.3393i | −0.139269 | + | 2.39115i | ||||
\(725\) | 8.96783 | − | 9.50535i | 0.333057 | − | 0.353020i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −11.9587 | − | 27.7234i | −0.443524 | − | 1.02821i | −0.982564 | − | 0.185925i | \(-0.940472\pi\) |
0.539040 | − | 0.842280i | \(-0.318787\pi\) | |||||||
\(728\) | −4.53691 | −0.168149 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −25.9836 | −0.961698 | ||||||||
\(731\) | 4.56403 | + | 10.5806i | 0.168807 | + | 0.391338i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 10.9774 | − | 11.6353i | 0.405458 | − | 0.429760i | −0.492180 | − | 0.870493i | \(-0.663800\pi\) |
0.897638 | + | 0.440733i | \(0.145281\pi\) | |||||||
\(734\) | −1.81392 | + | 31.1437i | −0.0669529 | + | 1.14954i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −3.03969 | + | 0.720421i | −0.112045 | + | 0.0265551i | ||||
\(737\) | −56.4379 | − | 20.5417i | −2.07892 | − | 0.756664i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 13.9238 | − | 5.06784i | 0.512194 | − | 0.186423i | −0.0729763 | − | 0.997334i | \(-0.523250\pi\) |
0.585171 | + | 0.810910i | \(0.301028\pi\) | |||||||
\(740\) | 26.7941 | − | 17.6227i | 0.984969 | − | 0.647824i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 23.8823 | − | 2.79144i | 0.876748 | − | 0.102477i | ||||
\(743\) | 0.620612 | + | 0.833627i | 0.0227681 | + | 0.0305828i | 0.813361 | − | 0.581759i | \(-0.197635\pi\) |
−0.790593 | + | 0.612341i | \(0.790228\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −1.42396 | − | 24.4485i | −0.0521699 | − | 0.895723i | ||||
\(746\) | −46.3874 | − | 38.9236i | −1.69836 | − | 1.42510i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −17.3624 | + | 14.5688i | −0.634832 | + | 0.532688i | ||||
\(749\) | −0.101070 | − | 0.107127i | −0.00369300 | − | 0.00391435i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 27.5815 | + | 18.1407i | 1.00647 | + | 0.661962i | 0.941880 | − | 0.335950i | \(-0.109057\pi\) |
0.0645851 | + | 0.997912i | \(0.479428\pi\) | |||||||
\(752\) | 6.65757 | + | 1.57787i | 0.242777 | + | 0.0575391i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −5.76935 | − | 0.674340i | −0.210107 | − | 0.0245580i | ||||
\(755\) | 25.9217 | + | 44.8978i | 0.943389 | + | 1.63400i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 16.5939 | − | 28.7414i | 0.603114 | − | 1.04462i | −0.389232 | − | 0.921140i | \(-0.627260\pi\) |
0.992346 | − | 0.123485i | \(-0.0394070\pi\) | |||||||
\(758\) | 11.4097 | − | 15.3259i | 0.414419 | − | 0.556661i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −9.69621 | − | 32.3876i | −0.351718 | − | 1.17482i | ||||
\(761\) | −33.3883 | + | 16.7682i | −1.21032 | + | 0.607847i | −0.935391 | − | 0.353616i | \(-0.884952\pi\) |
−0.274933 | + | 0.961463i | \(0.588656\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.343352 | − | 1.14688i | 0.0124302 | − | 0.0415197i | ||||
\(764\) | 6.50388 | + | 36.8853i | 0.235302 | + | 1.33446i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 7.44398 | − | 42.2169i | 0.268962 | − | 1.52536i | ||||
\(767\) | 4.70826 | + | 2.36457i | 0.170005 | + | 0.0853798i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −16.9380 | + | 39.2666i | −0.610798 | + | 1.41599i | 0.279292 | + | 0.960206i | \(0.409900\pi\) |
−0.890091 | + | 0.455784i | \(0.849359\pi\) | |||||||
\(770\) | 40.6739 | − | 94.2927i | 1.46578 | − | 3.39807i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 53.4081 | + | 26.8226i | 1.92220 | + | 0.965366i | ||||
\(773\) | 4.28338 | − | 24.2923i | 0.154062 | − | 0.873732i | −0.805575 | − | 0.592493i | \(-0.798144\pi\) |
0.959638 | − | 0.281239i | \(-0.0907452\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.710278 | − | 4.02818i | −0.0255139 | − | 0.144697i | ||||
\(776\) | 4.22094 | − | 14.0989i | 0.151523 | − | 0.506122i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 61.8505 | − | 31.0625i | 2.21745 | − | 1.11364i | ||||
\(779\) | −16.1247 | − | 53.8601i | −0.577726 | − | 1.92974i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −42.6335 | + | 57.2668i | −1.52555 | + | 2.04917i | ||||
\(782\) | 0.727908 | − | 1.26077i | 0.0260299 | − | 0.0450851i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 1.07543 | + | 1.86269i | 0.0384081 | + | 0.0665248i | ||||
\(785\) | 6.30422 | + | 0.736858i | 0.225007 | + | 0.0262996i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 33.2228 | + | 7.87395i | 1.18426 | + | 0.280676i | 0.775132 | − | 0.631799i | \(-0.217683\pi\) |
0.409132 | + | 0.912475i | \(0.365831\pi\) | |||||||
\(788\) | −9.85695 | − | 6.48302i | −0.351139 | − | 0.230948i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −12.7703 | − | 13.5358i | −0.454348 | − | 0.481581i | ||||
\(791\) | 25.7569 | − | 21.6126i | 0.915809 | − | 0.768455i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −2.45290 | − | 2.05822i | −0.0871049 | − | 0.0730897i | ||||
\(794\) | −1.37798 | − | 23.6591i | −0.0489028 | − | 0.839629i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 6.75031 | + | 9.06724i | 0.239259 | + | 0.321380i | ||||
\(797\) | −16.8253 | + | 1.96660i | −0.595983 | + | 0.0696604i | −0.408736 | − | 0.912652i | \(-0.634030\pi\) |
−0.187247 | + | 0.982313i | \(0.559956\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −6.70374 | + | 4.40912i | −0.237161 | + | 0.155983i | ||||
\(800\) | 23.9360 | − | 8.71201i | 0.846267 | − | 0.308016i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −16.9179 | − | 6.15760i | −0.597390 | − | 0.217432i | ||||
\(803\) | −20.4976 | + | 4.85802i | −0.723345 | + | 0.171436i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.228232 | + | 3.91859i | −0.00804412 | + | 0.138112i | ||||
\(806\) | −1.24766 | + | 1.32245i | −0.0439471 | + | 0.0465812i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −8.77478 | − | 20.3422i | −0.308696 | − | 0.715637i | ||||
\(809\) | 18.5465 | 0.652062 | 0.326031 | − | 0.945359i | \(-0.394289\pi\) | ||||
0.326031 | + | 0.945359i | \(0.394289\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 24.9560 | 0.876325 | 0.438163 | − | 0.898896i | \(-0.355629\pi\) | ||||
0.438163 | + | 0.898896i | \(0.355629\pi\) | |||||||
\(812\) | −12.2319 | − | 28.3568i | −0.429256 | − | 0.995127i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 29.9822 | − | 31.7793i | 1.05088 | − | 1.11386i | ||||
\(815\) | −1.62293 | + | 27.8647i | −0.0568488 | + | 0.976057i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −42.4281 | + | 10.0556i | −1.48437 | + | 0.351802i | ||||
\(818\) | 78.2784 | + | 28.4910i | 2.73694 | + | 0.996164i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −83.2004 | + | 30.2825i | −2.90548 | + | 1.05751i | ||||
\(821\) | 1.12880 | − | 0.742425i | 0.0393955 | − | 0.0259108i | −0.529658 | − | 0.848211i | \(-0.677680\pi\) |
0.569054 | + | 0.822300i | \(0.307310\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −43.5920 | + | 5.09517i | −1.51952 | + | 0.177606i | −0.834537 | − | 0.550952i | \(-0.814265\pi\) |
−0.684983 | + | 0.728559i | \(0.740190\pi\) | |||||||
\(824\) | −22.2175 | − | 29.8432i | −0.773982 | − | 1.03964i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 2.73696 | + | 46.9918i | 0.0952311 | + | 1.63505i | ||||
\(827\) | −43.1798 | − | 36.2322i | −1.50151 | − | 1.25992i | −0.878539 | − | 0.477670i | \(-0.841481\pi\) |
−0.622970 | − | 0.782246i | \(-0.714074\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 11.2414 | − | 9.43268i | 0.390431 | − | 0.327610i | −0.426350 | − | 0.904558i | \(-0.640201\pi\) |
0.816781 | + | 0.576948i | \(0.195756\pi\) | |||||||
\(830\) | 1.58063 | + | 1.67537i | 0.0548645 | + | 0.0581530i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −7.93743 | − | 5.22053i | −0.275181 | − | 0.180989i | ||||
\(833\) | −2.45436 | − | 0.581693i | −0.0850384 | − | 0.0201545i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −11.1805 | − | 1.30681i | −0.386917 | − | 0.0452241i | ||||
\(836\) | −42.8825 | − | 74.2747i | −1.48312 | − | 2.56885i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −14.3302 | + | 24.8206i | −0.495028 | + | 0.857414i | ||||
\(839\) | −0.566230 | + | 0.760578i | −0.0195484 | + | 0.0262581i | −0.811790 | − | 0.583950i | \(-0.801507\pi\) |
0.792242 | + | 0.610208i | \(0.208914\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 4.69331 | + | 15.6767i | 0.161838 | + | 0.540577i | ||||
\(842\) | 45.9436 | − | 23.0737i | 1.58332 | − | 0.795174i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −6.00911 | + | 20.0718i | −0.206842 | + | 0.690901i | ||||
\(845\) | −6.37286 | − | 36.1423i | −0.219233 | − | 1.24333i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 8.81110 | − | 49.9702i | 0.302753 | − | 1.71700i | ||||
\(848\) | 4.05253 | + | 2.03526i | 0.139164 | + | 0.0698910i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −4.70174 | + | 10.8999i | −0.161268 | + | 0.373862i | ||||
\(851\) | −0.661457 | + | 1.53343i | −0.0226745 | + | 0.0525653i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 2.85592 | + | 1.43430i | 0.0977849 | + | 0.0491094i | 0.497019 | − | 0.867739i | \(-0.334428\pi\) |
−0.399234 | + | 0.916849i | \(0.630724\pi\) | |||||||
\(854\) | 4.96766 | − | 28.1730i | 0.169990 | − | 0.964060i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0.0180642 | + | 0.102447i | 0.000617423 | + | 0.00350158i | ||||
\(857\) | −8.51405 | + | 28.4389i | −0.290835 | + | 0.971455i | 0.680302 | + | 0.732932i | \(0.261849\pi\) |
−0.971137 | + | 0.238523i | \(0.923337\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −12.3635 | + | 6.20916i | −0.421836 | + | 0.211854i | −0.647037 | − | 0.762458i | \(-0.723992\pi\) |
0.225202 | + | 0.974312i | \(0.427696\pi\) | |||||||
\(860\) | 19.6941 | + | 65.7830i | 0.671565 | + | 2.24318i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 30.1264 | − | 40.4668i | 1.02611 | − | 1.37830i | ||||
\(863\) | 28.9772 | − | 50.1899i | 0.986394 | − | 1.70849i | 0.350826 | − | 0.936440i | \(-0.385901\pi\) |
0.635568 | − | 0.772045i | \(-0.280766\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 12.3224 | + | 21.3429i | 0.418973 | + | 0.725682i | ||||
\(866\) | 40.1997 | + | 4.69867i | 1.36604 | + | 0.159667i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −9.40572 | − | 2.22920i | −0.319251 | − | 0.0756639i | ||||
\(869\) | −12.6048 | − | 8.29030i | −0.427588 | − | 0.281229i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 5.70988 | + | 6.05212i | 0.193472 | + | 0.205068i | ||||
\(872\) | −0.647763 | + | 0.543538i | −0.0219360 | + | 0.0184065i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 4.22002 | + | 3.54102i | 0.142744 | + | 0.119777i | ||||
\(875\) | 0.670087 | + | 11.5049i | 0.0226531 | + | 0.388938i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 8.10205 | + | 10.8829i | 0.273587 | + | 0.367491i | 0.917587 | − | 0.397534i | \(-0.130134\pi\) |
−0.644001 | + | 0.765025i | \(0.722727\pi\) | |||||||
\(878\) | −60.6963 | + | 7.09438i | −2.04840 | + | 0.239424i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 16.1814 | − | 10.6427i | 0.545476 | − | 0.358765i | ||||
\(881\) | 2.92937 | − | 1.06621i | 0.0986931 | − | 0.0359214i | −0.292202 | − | 0.956357i | \(-0.594388\pi\) |
0.390895 | + | 0.920435i | \(0.372166\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 5.52287 | + | 2.01016i | 0.185859 | + | 0.0676472i | 0.433273 | − | 0.901263i | \(-0.357359\pi\) |
−0.247414 | + | 0.968910i | \(0.579581\pi\) | |||||||
\(884\) | 3.05530 | − | 0.724119i | 0.102761 | − | 0.0243548i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 1.58454 | − | 27.2055i | 0.0532336 | − | 0.913986i | ||||
\(887\) | −3.21262 | + | 3.40517i | −0.107869 | + | 0.114335i | −0.779058 | − | 0.626952i | \(-0.784302\pi\) |
0.671189 | + | 0.741286i | \(0.265784\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 15.2722 | + | 35.4049i | 0.512213 | + | 1.18744i | ||||
\(890\) | 37.2255 | 1.24780 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 43.6472 | 1.46142 | ||||||||
\(893\) | −12.0258 | − | 27.8790i | −0.402428 | − | 0.932934i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 11.0787 | − | 11.7427i | 0.370320 | − | 0.392516i | ||||
\(896\) | 2.55369 | − | 43.8452i | 0.0853129 | − | 1.46477i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 15.0073 | − | 3.55679i | 0.500799 | − | 0.118692i | ||||
\(899\) | −3.71651 | − | 1.35270i | −0.123953 | − | 0.0451151i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −4.99743 | + | 1.81892i | −0.166489 | + | 0.0605969i | ||||
\(902\) | −100.779 | + | 66.2831i | −3.35556 | + | 2.20699i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −23.5884 | + | 2.75709i | −0.784539 | + | 0.0916994i | ||||
\(905\) | 38.5670 | + | 51.8045i | 1.28201 | + | 1.72204i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −0.0542661 | − | 0.931713i | −0.00180188 | − | 0.0309370i | 0.997287 | − | 0.0736064i | \(-0.0234508\pi\) |
−0.999089 | + | 0.0426693i | \(0.986414\pi\) | |||||||
\(908\) | 30.2994 | + | 25.4243i | 1.00552 | + | 0.843734i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −10.8981 | + | 9.14461i | −0.361269 | + | 0.303141i | ||||
\(911\) | −31.1840 | − | 33.0531i | −1.03317 | − | 1.09510i | −0.995399 | − | 0.0958126i | \(-0.969455\pi\) |
−0.0377732 | − | 0.999286i | \(-0.512026\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 1.56014 | + | 1.02612i | 0.0516331 | + | 0.0339597i | ||||
\(914\) | 64.5844 | + | 15.3068i | 2.13626 | + | 0.506304i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 9.51578 | + | 1.11223i | 0.314410 | + | 0.0367493i | ||||
\(917\) | 11.8341 | + | 20.4973i | 0.390797 | + | 0.676880i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −20.1320 | + | 34.8697i | −0.664095 | + | 1.15025i | 0.315435 | + | 0.948947i | \(0.397849\pi\) |
−0.979530 | + | 0.201299i | \(0.935484\pi\) | |||||||
\(920\) | 1.65562 | − | 2.22388i | 0.0545842 | − | 0.0733193i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0.522959 | + | 1.74681i | 0.0172228 | + | 0.0575280i | ||||
\(923\) | 8.83864 | − | 4.43893i | 0.290927 | − | 0.146109i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 3.90547 | − | 13.0452i | 0.128411 | − | 0.428922i | ||||
\(926\) | −11.0450 | − | 62.6392i | −0.362960 | − | 2.05845i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 4.27690 | − | 24.2555i | 0.140396 | − | 0.796225i | ||||
\(929\) | −11.7038 | − | 5.87788i | −0.383990 | − | 0.192847i | 0.246323 | − | 0.969188i | \(-0.420777\pi\) |
−0.630314 | + | 0.776341i | \(0.717074\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 3.78044 | − | 8.76404i | 0.123899 | − | 0.287230i | ||||
\(932\) | 9.63164 | − | 22.3287i | 0.315495 | − | 0.731400i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −24.8117 | − | 12.4609i | −0.811864 | − | 0.407734i | ||||
\(935\) | −3.94404 | + | 22.3677i | −0.128984 | + | 0.731504i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −5.42867 | − | 30.7875i | −0.177347 | − | 1.00578i | −0.935400 | − | 0.353591i | \(-0.884960\pi\) |
0.758053 | − | 0.652193i | \(-0.226151\pi\) | |||||||
\(938\) | −21.3202 | + | 71.2143i | −0.696128 | + | 2.32523i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −42.7290 | + | 21.4593i | −1.39367 | + | 0.699926i | ||||
\(941\) | 13.4797 | + | 45.0255i | 0.439427 | + | 1.46779i | 0.835460 | + | 0.549552i | \(0.185202\pi\) |
−0.396033 | + | 0.918236i | \(0.629613\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 2.75328 | − | 3.69829i | 0.0896590 | − | 0.120433i | ||||
\(944\) | −4.43886 | + | 7.68833i | −0.144473 | + | 0.250234i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 46.7748 | + | 81.0163i | 1.52078 | + | 2.63407i | ||||
\(947\) | 30.4706 | + | 3.56151i | 0.990163 | + | 0.115733i | 0.595724 | − | 0.803189i | \(-0.296865\pi\) |
0.394438 | + | 0.918922i | \(0.370939\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 2.83967 | + | 0.673015i | 0.0921796 | + | 0.0218470i | ||||
\(950\) | −37.5293 | − | 24.6834i | −1.21761 | − | 0.800836i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 6.15222 | + | 6.52097i | 0.199395 | + | 0.211346i | ||||
\(953\) | −5.18464 | + | 4.35043i | −0.167947 | + | 0.140924i | −0.722887 | − | 0.690966i | \(-0.757185\pi\) |
0.554940 | + | 0.831890i | \(0.312741\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 28.7522 | + | 24.1260i | 0.930400 | + | 0.780698i | ||||
\(956\) | 2.23255 | + | 38.3313i | 0.0722057 | + | 1.23972i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −6.01989 | − | 8.08611i | −0.194494 | − | 0.261250i | ||||
\(959\) | −30.2979 | + | 3.54132i | −0.978370 | + | 0.114355i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 24.8658 | − | 16.3545i | 0.802124 | − | 0.527565i | ||||
\(962\) | −5.68771 | + | 2.07016i | −0.183379 | + | 0.0667446i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 1.74773 | + | 0.636123i | 0.0562907 | + | 0.0204881i | ||||
\(965\) | 58.2769 | − | 13.8119i | 1.87600 | − | 0.444620i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −1.12337 | + | 19.2875i | −0.0361251 | + | 0.620244i | 0.930854 | + | 0.365390i | \(0.119064\pi\) |
−0.966980 | + | 0.254854i | \(0.917973\pi\) | |||||||
\(968\) | −24.5948 | + | 26.0689i | −0.790506 | + | 0.837887i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −18.2787 | − | 42.3748i | −0.586894 | − | 1.36057i | ||||
\(971\) | 42.4827 | 1.36333 | 0.681667 | − | 0.731662i | \(-0.261255\pi\) | ||||
0.681667 | + | 0.731662i | \(0.261255\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −51.5885 | −1.65385 | ||||||||
\(974\) | −24.9018 | − | 57.7288i | −0.797904 | − | 1.84975i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 3.70257 | − | 3.92449i | 0.118516 | − | 0.125620i | ||||
\(977\) | 2.20981 | − | 37.9410i | 0.0706982 | − | 1.21384i | −0.757284 | − | 0.653086i | \(-0.773474\pi\) |
0.827982 | − | 0.560755i | \(-0.189489\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 29.3659 | − | 6.95984i | 0.938538 | − | 0.222438i | ||||
\(980\) | −14.1247 | − | 5.14095i | −0.451196 | − | 0.164222i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −40.9002 | + | 14.8865i | −1.30518 | + | 0.475046i | ||||
\(983\) | −4.62569 | + | 3.04237i | −0.147537 | + | 0.0970365i | −0.621131 | − | 0.783707i | \(-0.713327\pi\) |
0.473594 | + | 0.880743i | \(0.342956\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −11.7428 | + | 1.37253i | −0.374156 | + | 0.0437326i | ||||
\(986\) | 6.85421 | + | 9.20681i | 0.218283 | + | 0.293204i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.690854 | + | 11.8615i | 0.0219790 | + | 0.377365i | ||||
\(989\) | −2.73922 | − | 2.29848i | −0.0871023 | − | 0.0730875i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 16.9547 | − | 14.2267i | 0.538583 | − | 0.451925i | −0.332470 | − | 0.943114i | \(-0.607882\pi\) |
0.871053 | + | 0.491189i | \(0.163438\pi\) | |||||||
\(992\) | −5.29033 | − | 5.60743i | −0.167968 | − | 0.178036i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 73.8283 | + | 48.5577i | 2.34169 | + | 1.54016i | ||||
\(995\) | 11.0225 | + | 2.61239i | 0.349438 | + | 0.0828184i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −20.3532 | − | 2.37894i | −0.644591 | − | 0.0753419i | −0.212484 | − | 0.977164i | \(-0.568155\pi\) |
−0.432107 | + | 0.901823i | \(0.642230\pi\) | |||||||
\(998\) | 32.8916 | + | 56.9700i | 1.04117 | + | 1.80335i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 729.2.g.b.676.7 | 144 | ||
3.2 | odd | 2 | 729.2.g.c.676.2 | 144 | |||
9.2 | odd | 6 | 81.2.g.a.58.2 | yes | 144 | ||
9.4 | even | 3 | 729.2.g.a.433.2 | 144 | |||
9.5 | odd | 6 | 729.2.g.d.433.7 | 144 | |||
9.7 | even | 3 | 243.2.g.a.226.7 | 144 | |||
81.7 | even | 27 | 729.2.g.a.298.2 | 144 | |||
81.14 | odd | 54 | 6561.2.a.c.1.11 | 72 | |||
81.20 | odd | 54 | 81.2.g.a.7.2 | ✓ | 144 | ||
81.34 | even | 27 | inner | 729.2.g.b.55.7 | 144 | ||
81.47 | odd | 54 | 729.2.g.c.55.2 | 144 | |||
81.61 | even | 27 | 243.2.g.a.100.7 | 144 | |||
81.67 | even | 27 | 6561.2.a.d.1.62 | 72 | |||
81.74 | odd | 54 | 729.2.g.d.298.7 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
81.2.g.a.7.2 | ✓ | 144 | 81.20 | odd | 54 | ||
81.2.g.a.58.2 | yes | 144 | 9.2 | odd | 6 | ||
243.2.g.a.100.7 | 144 | 81.61 | even | 27 | |||
243.2.g.a.226.7 | 144 | 9.7 | even | 3 | |||
729.2.g.a.298.2 | 144 | 81.7 | even | 27 | |||
729.2.g.a.433.2 | 144 | 9.4 | even | 3 | |||
729.2.g.b.55.7 | 144 | 81.34 | even | 27 | inner | ||
729.2.g.b.676.7 | 144 | 1.1 | even | 1 | trivial | ||
729.2.g.c.55.2 | 144 | 81.47 | odd | 54 | |||
729.2.g.c.676.2 | 144 | 3.2 | odd | 2 | |||
729.2.g.d.298.7 | 144 | 81.74 | odd | 54 | |||
729.2.g.d.433.7 | 144 | 9.5 | odd | 6 | |||
6561.2.a.c.1.11 | 72 | 81.14 | odd | 54 | |||
6561.2.a.d.1.62 | 72 | 81.67 | even | 27 |