Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [320,2,Mod(29,320)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(320, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([0, 11, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("320.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 320 = 2^{6} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 320.bf (of order \(16\), degree \(8\), 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: | \(2.55521286468\) |
Analytic rank: | \(0\) |
Dimension: | \(368\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 29.17 | ||
Character | \(\chi\) | \(=\) | 320.29 |
Dual form | 320.2.bf.a.309.17 |
$q$-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 \(\left(\mathbb{Z}/320\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(257\) | \(261\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{11}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.628783 | − | 1.26674i | −0.444617 | − | 0.895721i | ||||
\(3\) | 0.368711 | − | 1.85364i | 0.212876 | − | 1.07020i | −0.715517 | − | 0.698596i | \(-0.753809\pi\) |
0.928392 | − | 0.371602i | \(-0.121191\pi\) | |||||||
\(4\) | −1.20926 | + | 1.59301i | −0.604632 | + | 0.796505i | ||||
\(5\) | 0.834497 | + | 2.07452i | 0.373199 | + | 0.927751i | ||||
\(6\) | −2.57992 | + | 0.698473i | −1.05325 | + | 0.285151i | ||||
\(7\) | 1.47604 | + | 3.56349i | 0.557892 | + | 1.34687i | 0.911432 | + | 0.411452i | \(0.134978\pi\) |
−0.353539 | + | 0.935420i | \(0.615022\pi\) | |||||||
\(8\) | 2.77829 | + | 0.530167i | 0.982276 | + | 0.187442i | ||||
\(9\) | −0.528383 | − | 0.218863i | −0.176128 | − | 0.0729545i | ||||
\(10\) | 2.10316 | − | 2.36151i | 0.665076 | − | 0.746776i | ||||
\(11\) | 0.755528 | + | 3.79830i | 0.227800 | + | 1.14523i | 0.910174 | + | 0.414226i | \(0.135948\pi\) |
−0.682374 | + | 0.731004i | \(0.739052\pi\) | |||||||
\(12\) | 2.50699 | + | 2.82890i | 0.723706 | + | 0.816632i | ||||
\(13\) | 2.55467 | − | 1.70697i | 0.708537 | − | 0.473429i | −0.148349 | − | 0.988935i | \(-0.547396\pi\) |
0.856886 | + | 0.515506i | \(0.172396\pi\) | |||||||
\(14\) | 3.58590 | − | 4.11043i | 0.958373 | − | 1.09856i | ||||
\(15\) | 4.15309 | − | 0.781958i | 1.07232 | − | 0.201901i | ||||
\(16\) | −1.07536 | − | 3.85274i | −0.268840 | − | 0.963185i | ||||
\(17\) | −0.420299 | + | 0.420299i | −0.101937 | + | 0.101937i | −0.756236 | − | 0.654299i | \(-0.772964\pi\) |
0.654299 | + | 0.756236i | \(0.272964\pi\) | |||||||
\(18\) | 0.0549950 | + | 0.806942i | 0.0129624 | + | 0.190198i | ||||
\(19\) | −6.15466 | + | 4.11241i | −1.41198 | + | 0.943452i | −0.412503 | + | 0.910956i | \(0.635346\pi\) |
−0.999472 | + | 0.0324957i | \(0.989654\pi\) | |||||||
\(20\) | −4.31385 | − | 1.17928i | −0.964606 | − | 0.263694i | ||||
\(21\) | 7.14965 | − | 1.42215i | 1.56018 | − | 0.310339i | ||||
\(22\) | 4.33640 | − | 3.34536i | 0.924523 | − | 0.713234i | ||||
\(23\) | −4.61793 | − | 1.91281i | −0.962906 | − | 0.398849i | −0.154839 | − | 0.987940i | \(-0.549486\pi\) |
−0.808067 | + | 0.589091i | \(0.799486\pi\) | |||||||
\(24\) | 2.00713 | − | 4.95447i | 0.409703 | − | 1.01133i | ||||
\(25\) | −3.60723 | + | 3.46236i | −0.721446 | + | 0.692471i | ||||
\(26\) | −3.76862 | − | 2.16278i | −0.739088 | − | 0.424157i | ||||
\(27\) | 2.54949 | − | 3.81558i | 0.490649 | − | 0.734309i | ||||
\(28\) | −7.46160 | − | 1.95784i | −1.41011 | − | 0.369998i | ||||
\(29\) | 1.78738 | − | 8.98579i | 0.331909 | − | 1.66862i | −0.349669 | − | 0.936873i | \(-0.613706\pi\) |
0.681578 | − | 0.731745i | \(-0.261294\pi\) | |||||||
\(30\) | −3.60193 | − | 4.76920i | −0.657619 | − | 0.870733i | ||||
\(31\) | 6.13374i | 1.10165i | 0.834620 | + | 0.550826i | \(0.185687\pi\) | ||||
−0.834620 | + | 0.550826i | \(0.814313\pi\) | |||||||
\(32\) | −4.20425 | + | 3.78474i | −0.743214 | + | 0.669054i | ||||
\(33\) | 7.31924 | 1.27412 | ||||||||
\(34\) | 0.796687 | + | 0.268133i | 0.136631 | + | 0.0459845i | ||||
\(35\) | −6.16075 | + | 6.03580i | −1.04136 | + | 1.02024i | ||||
\(36\) | 0.987606 | − | 0.577056i | 0.164601 | − | 0.0961759i | ||||
\(37\) | 3.16474 | − | 4.73638i | 0.520281 | − | 0.778655i | −0.474547 | − | 0.880230i | \(-0.657388\pi\) |
0.994828 | + | 0.101575i | \(0.0323881\pi\) | |||||||
\(38\) | 9.07930 | + | 5.21054i | 1.47286 | + | 0.845262i | ||||
\(39\) | −2.22217 | − | 5.36480i | −0.355833 | − | 0.859056i | ||||
\(40\) | 1.21864 | + | 6.20604i | 0.192684 | + | 0.981261i | ||||
\(41\) | 0.0274634 | − | 0.0663026i | 0.00428907 | − | 0.0103547i | −0.921720 | − | 0.387855i | \(-0.873216\pi\) |
0.926010 | + | 0.377500i | \(0.123216\pi\) | |||||||
\(42\) | −6.29707 | − | 8.16252i | −0.971660 | − | 1.25950i | ||||
\(43\) | −0.626128 | − | 3.14776i | −0.0954836 | − | 0.480028i | −0.998706 | − | 0.0508556i | \(-0.983805\pi\) |
0.903222 | − | 0.429173i | \(-0.141195\pi\) | |||||||
\(44\) | −6.96436 | − | 3.38958i | −1.04992 | − | 0.510999i | ||||
\(45\) | 0.0131013 | − | 1.27878i | 0.00195302 | − | 0.190629i | ||||
\(46\) | 0.480642 | + | 7.05247i | 0.0708668 | + | 1.03983i | ||||
\(47\) | 9.03628 | − | 9.03628i | 1.31808 | − | 1.31808i | 0.402781 | − | 0.915296i | \(-0.368044\pi\) |
0.915296 | − | 0.402781i | \(-0.131956\pi\) | |||||||
\(48\) | −7.53808 | + | 0.572778i | −1.08803 | + | 0.0826733i | ||||
\(49\) | −5.56998 | + | 5.56998i | −0.795712 | + | 0.795712i | ||||
\(50\) | 6.65407 | + | 2.39235i | 0.941028 | + | 0.338330i | ||||
\(51\) | 0.624113 | + | 0.934051i | 0.0873933 | + | 0.130793i | ||||
\(52\) | −0.370042 | + | 6.13379i | −0.0513155 | + | 0.850603i | ||||
\(53\) | 2.48569 | − | 0.494435i | 0.341436 | − | 0.0679158i | −0.0213942 | − | 0.999771i | \(-0.506811\pi\) |
0.362830 | + | 0.931855i | \(0.381811\pi\) | |||||||
\(54\) | −6.43642 | − | 0.830370i | −0.875886 | − | 0.112999i | ||||
\(55\) | −7.24914 | + | 4.73702i | −0.977474 | + | 0.638740i | ||||
\(56\) | 2.21164 | + | 10.6830i | 0.295543 | + | 1.42757i | ||||
\(57\) | 5.35362 | + | 12.9248i | 0.709105 | + | 1.71193i | ||||
\(58\) | −12.5065 | + | 3.38596i | −1.64219 | + | 0.444598i | ||||
\(59\) | 5.32528 | − | 7.96985i | 0.693293 | − | 1.03759i | −0.303120 | − | 0.952953i | \(-0.598028\pi\) |
0.996412 | − | 0.0846332i | \(-0.0269719\pi\) | |||||||
\(60\) | −3.77651 | + | 7.56150i | −0.487546 | + | 0.976186i | ||||
\(61\) | 6.32200 | + | 1.25752i | 0.809449 | + | 0.161009i | 0.582430 | − | 0.812881i | \(-0.302102\pi\) |
0.227019 | + | 0.973890i | \(0.427102\pi\) | |||||||
\(62\) | 7.76986 | − | 3.85679i | 0.986773 | − | 0.489813i | ||||
\(63\) | − | 2.20594i | − | 0.277922i | ||||||
\(64\) | 7.43785 | + | 2.94592i | 0.929731 | + | 0.368240i | ||||
\(65\) | 5.67300 | + | 3.87523i | 0.703649 | + | 0.480663i | ||||
\(66\) | −4.60221 | − | 9.27157i | −0.566493 | − | 1.14125i | ||||
\(67\) | −0.216875 | + | 1.09030i | −0.0264955 | + | 0.133202i | −0.991769 | − | 0.128039i | \(-0.959132\pi\) |
0.965274 | + | 0.261241i | \(0.0841317\pi\) | |||||||
\(68\) | −0.161288 | − | 1.17779i | −0.0195590 | − | 0.142828i | ||||
\(69\) | −5.24834 | + | 7.85470i | −0.631826 | + | 0.945595i | ||||
\(70\) | 11.5196 | + | 4.00887i | 1.37685 | + | 0.479152i | ||||
\(71\) | 2.62595 | − | 1.08770i | 0.311642 | − | 0.129087i | −0.221380 | − | 0.975188i | \(-0.571056\pi\) |
0.533022 | + | 0.846101i | \(0.321056\pi\) | |||||||
\(72\) | −1.35197 | − | 0.888199i | −0.159331 | − | 0.104675i | ||||
\(73\) | 0.833413 | − | 2.01204i | 0.0975437 | − | 0.235491i | −0.867574 | − | 0.497308i | \(-0.834322\pi\) |
0.965117 | + | 0.261817i | \(0.0843218\pi\) | |||||||
\(74\) | −7.98970 | − | 1.03076i | −0.928783 | − | 0.119823i | ||||
\(75\) | 5.08792 | + | 7.96310i | 0.587503 | + | 0.919500i | ||||
\(76\) | 0.891498 | − | 14.7774i | 0.102262 | − | 1.69509i | ||||
\(77\) | −12.4200 | + | 8.29877i | −1.41539 | + | 0.945733i | ||||
\(78\) | −5.39855 | + | 6.18821i | −0.611265 | + | 0.700677i | ||||
\(79\) | −6.44057 | + | 6.44057i | −0.724621 | + | 0.724621i | −0.969543 | − | 0.244922i | \(-0.921238\pi\) |
0.244922 | + | 0.969543i | \(0.421238\pi\) | |||||||
\(80\) | 7.09518 | − | 5.44595i | 0.793266 | − | 0.608876i | ||||
\(81\) | −7.34589 | − | 7.34589i | −0.816210 | − | 0.816210i | ||||
\(82\) | −0.101257 | + | 0.00690088i | −0.0111819 | + | 0.000762075i | ||||
\(83\) | −7.48853 | − | 11.2074i | −0.821973 | − | 1.23017i | −0.970462 | − | 0.241256i | \(-0.922441\pi\) |
0.148488 | − | 0.988914i | \(-0.452559\pi\) | |||||||
\(84\) | −6.38031 | + | 13.1092i | −0.696149 | + | 1.43033i | ||||
\(85\) | −1.22266 | − | 0.521178i | −0.132616 | − | 0.0565297i | ||||
\(86\) | −3.59369 | + | 2.77240i | −0.387518 | + | 0.298955i | ||||
\(87\) | −15.9974 | − | 6.62632i | −1.71510 | − | 0.710416i | ||||
\(88\) | 0.0853473 | + | 10.9533i | 0.00909806 | + | 1.16763i | ||||
\(89\) | 0.225838 | + | 0.545222i | 0.0239388 | + | 0.0577934i | 0.935397 | − | 0.353599i | \(-0.115042\pi\) |
−0.911458 | + | 0.411393i | \(0.865042\pi\) | |||||||
\(90\) | −1.62812 | + | 0.787479i | −0.171619 | + | 0.0830076i | ||||
\(91\) | 9.85358 | + | 6.58395i | 1.03294 | + | 0.690185i | ||||
\(92\) | 8.63143 | − | 5.04332i | 0.899889 | − | 0.525802i | ||||
\(93\) | 11.3697 | + | 2.26158i | 1.17899 | + | 0.234515i | ||||
\(94\) | −17.1285 | − | 5.76477i | −1.76667 | − | 0.594590i | ||||
\(95\) | −13.6673 | − | 9.33614i | −1.40224 | − | 0.957867i | ||||
\(96\) | 5.46537 | + | 9.18864i | 0.557807 | + | 0.937811i | ||||
\(97\) | −11.7969 | −1.19779 | −0.598896 | − | 0.800827i | \(-0.704394\pi\) | ||||
−0.598896 | + | 0.800827i | \(0.704394\pi\) | |||||||
\(98\) | 10.5580 | + | 3.55342i | 1.06652 | + | 0.358949i | ||||
\(99\) | 0.432100 | − | 2.17231i | 0.0434277 | − | 0.218326i | ||||
\(100\) | −1.15347 | − | 9.93325i | −0.115347 | − | 0.993325i | ||||
\(101\) | 0.464418 | + | 0.310314i | 0.0462114 | + | 0.0308774i | 0.578461 | − | 0.815710i | \(-0.303653\pi\) |
−0.532250 | + | 0.846587i | \(0.678653\pi\) | |||||||
\(102\) | 0.790769 | − | 1.37790i | 0.0782978 | − | 0.136433i | ||||
\(103\) | −11.8543 | + | 4.91021i | −1.16804 | + | 0.483817i | −0.880543 | − | 0.473965i | \(-0.842822\pi\) |
−0.287494 | + | 0.957782i | \(0.592822\pi\) | |||||||
\(104\) | 8.00260 | − | 3.38807i | 0.784719 | − | 0.332228i | ||||
\(105\) | 8.91664 | + | 13.6453i | 0.870175 | + | 1.33164i | ||||
\(106\) | −2.18928 | − | 2.83783i | −0.212642 | − | 0.275635i | ||||
\(107\) | 2.00839 | + | 10.0969i | 0.194158 | + | 0.976100i | 0.947812 | + | 0.318829i | \(0.103289\pi\) |
−0.753654 | + | 0.657271i | \(0.771711\pi\) | |||||||
\(108\) | 2.99525 | + | 8.67540i | 0.288218 | + | 0.834791i | ||||
\(109\) | 5.77190 | − | 3.85666i | 0.552848 | − | 0.369401i | −0.247546 | − | 0.968876i | \(-0.579624\pi\) |
0.800393 | + | 0.599475i | \(0.204624\pi\) | |||||||
\(110\) | 10.5587 | + | 6.20422i | 1.00673 | + | 0.591549i | ||||
\(111\) | −7.61264 | − | 7.61264i | −0.722560 | − | 0.722560i | ||||
\(112\) | 12.1419 | − | 9.51885i | 1.14730 | − | 0.899446i | ||||
\(113\) | 2.71223 | + | 2.71223i | 0.255145 | + | 0.255145i | 0.823076 | − | 0.567931i | \(-0.192256\pi\) |
−0.567931 | + | 0.823076i | \(0.692256\pi\) | |||||||
\(114\) | 13.0061 | − | 14.9085i | 1.21813 | − | 1.39631i | ||||
\(115\) | 0.114502 | − | 11.1762i | 0.0106774 | − | 1.04219i | ||||
\(116\) | 12.1530 | + | 13.7135i | 1.12838 | + | 1.27327i | ||||
\(117\) | −1.72344 | + | 0.342813i | −0.159332 | + | 0.0316930i | ||||
\(118\) | −13.4442 | − | 1.73445i | −1.23764 | − | 0.159669i | ||||
\(119\) | −2.11811 | − | 0.877350i | −0.194167 | − | 0.0804265i | ||||
\(120\) | 11.9531 | + | 0.0293214i | 1.09116 | + | 0.00267667i | ||||
\(121\) | −3.69357 | + | 1.52993i | −0.335779 | + | 0.139084i | ||||
\(122\) | −2.38221 | − | 8.79904i | −0.215675 | − | 0.796627i | ||||
\(123\) | −0.112775 | − | 0.0753537i | −0.0101686 | − | 0.00679442i | ||||
\(124\) | −9.77111 | − | 7.41731i | −0.877471 | − | 0.666094i | ||||
\(125\) | −10.1929 | − | 4.59392i | −0.911684 | − | 0.410893i | ||||
\(126\) | −2.79435 | + | 1.38706i | −0.248941 | + | 0.123569i | ||||
\(127\) | − | 3.97892i | − | 0.353072i | −0.984294 | − | 0.176536i | \(-0.943511\pi\) | ||
0.984294 | − | 0.176536i | \(-0.0564891\pi\) | |||||||
\(128\) | −0.945069 | − | 11.2742i | −0.0835331 | − | 0.996505i | ||||
\(129\) | −6.06566 | −0.534051 | ||||||||
\(130\) | 1.34182 | − | 9.62290i | 0.117686 | − | 0.843984i | ||||
\(131\) | 8.39038 | + | 1.66895i | 0.733071 | + | 0.145817i | 0.547490 | − | 0.836812i | \(-0.315583\pi\) |
0.185581 | + | 0.982629i | \(0.440583\pi\) | |||||||
\(132\) | −8.85089 | + | 11.6596i | −0.770371 | + | 1.01484i | ||||
\(133\) | −23.7391 | − | 15.8619i | −2.05844 | − | 1.37540i | ||||
\(134\) | 1.51750 | − | 0.410840i | 0.131092 | − | 0.0354912i | ||||
\(135\) | 10.0430 | + | 2.10486i | 0.864366 | + | 0.181158i | ||||
\(136\) | −1.39054 | + | 0.944886i | −0.119238 | + | 0.0810233i | ||||
\(137\) | −1.34433 | + | 3.24550i | −0.114854 | + | 0.277282i | −0.970845 | − | 0.239709i | \(-0.922948\pi\) |
0.855991 | + | 0.516991i | \(0.172948\pi\) | |||||||
\(138\) | 13.2499 | + | 1.70939i | 1.12791 | + | 0.145513i | ||||
\(139\) | −0.523823 | − | 2.63344i | −0.0444301 | − | 0.223365i | 0.952191 | − | 0.305504i | \(-0.0988249\pi\) |
−0.996621 | + | 0.0821388i | \(0.973825\pi\) | |||||||
\(140\) | −2.16511 | − | 17.1130i | −0.182985 | − | 1.44631i | ||||
\(141\) | −13.4182 | − | 20.0818i | −1.13002 | − | 1.69119i | ||||
\(142\) | −3.02899 | − | 2.64246i | −0.254187 | − | 0.221751i | ||||
\(143\) | 8.41371 | + | 8.41371i | 0.703590 | + | 0.703590i | ||||
\(144\) | −0.275022 | + | 2.27108i | −0.0229185 | + | 0.189257i | ||||
\(145\) | 20.1327 | − | 3.79066i | 1.67193 | − | 0.314797i | ||||
\(146\) | −3.07277 | + | 0.209416i | −0.254304 | + | 0.0173314i | ||||
\(147\) | 8.27101 | + | 12.3784i | 0.682182 | + | 1.02096i | ||||
\(148\) | 3.71808 | + | 10.7690i | 0.305624 | + | 0.885206i | ||||
\(149\) | 19.5579 | − | 3.89030i | 1.60224 | − | 0.318706i | 0.688574 | − | 0.725166i | \(-0.258237\pi\) |
0.913669 | + | 0.406460i | \(0.133237\pi\) | |||||||
\(150\) | 6.88799 | − | 11.4521i | 0.562402 | − | 0.935063i | ||||
\(151\) | −2.86285 | + | 6.91153i | −0.232975 | + | 0.562453i | −0.996525 | − | 0.0832970i | \(-0.973455\pi\) |
0.763549 | + | 0.645750i | \(0.223455\pi\) | |||||||
\(152\) | −19.2797 | + | 8.16249i | −1.56379 | + | 0.662065i | ||||
\(153\) | 0.314067 | − | 0.130091i | 0.0253908 | − | 0.0105172i | ||||
\(154\) | 18.3219 | + | 10.5148i | 1.47642 | + | 0.847305i | ||||
\(155\) | −12.7245 | + | 5.11859i | −1.02206 | + | 0.411135i | ||||
\(156\) | 11.2334 | + | 2.94752i | 0.899390 | + | 0.235990i | ||||
\(157\) | 17.1668 | + | 3.41470i | 1.37006 | + | 0.272522i | 0.824649 | − | 0.565645i | \(-0.191373\pi\) |
0.545413 | + | 0.838167i | \(0.316373\pi\) | |||||||
\(158\) | 12.2083 | + | 4.10881i | 0.971237 | + | 0.326880i | ||||
\(159\) | − | 4.78987i | − | 0.379862i | ||||||
\(160\) | −11.3599 | − | 5.56344i | −0.898082 | − | 0.439828i | ||||
\(161\) | − | 19.2793i | − | 1.51943i | ||||||
\(162\) | −4.68637 | + | 13.9243i | −0.368196 | + | 1.09400i | ||||
\(163\) | 3.82978 | + | 0.761791i | 0.299972 | + | 0.0596681i | 0.342782 | − | 0.939415i | \(-0.388631\pi\) |
−0.0428097 | + | 0.999083i | \(0.513631\pi\) | |||||||
\(164\) | 0.0724101 | + | 0.123927i | 0.00565428 | + | 0.00967706i | ||||
\(165\) | 6.10788 | + | 15.1839i | 0.475498 | + | 1.18206i | ||||
\(166\) | −9.48818 | + | 16.5330i | −0.736426 | + | 1.28321i | ||||
\(167\) | 4.03171 | − | 1.66999i | 0.311983 | − | 0.129227i | −0.221198 | − | 0.975229i | \(-0.570997\pi\) |
0.533181 | + | 0.846001i | \(0.320997\pi\) | |||||||
\(168\) | 20.6178 | − | 0.160652i | 1.59070 | − | 0.0123946i | ||||
\(169\) | −1.36233 | + | 3.28895i | −0.104794 | + | 0.252996i | ||||
\(170\) | 0.108587 | + | 1.87650i | 0.00832822 | + | 0.143921i | ||||
\(171\) | 4.15207 | − | 0.825899i | 0.317517 | − | 0.0631581i | ||||
\(172\) | 5.77156 | + | 2.80904i | 0.440077 | + | 0.214187i | ||||
\(173\) | −3.95564 | − | 5.92004i | −0.300742 | − | 0.450092i | 0.650064 | − | 0.759879i | \(-0.274742\pi\) |
−0.950806 | + | 0.309788i | \(0.899742\pi\) | |||||||
\(174\) | 1.66503 | + | 24.4310i | 0.126226 | + | 1.85211i | ||||
\(175\) | −17.6625 | − | 7.74372i | −1.33516 | − | 0.585370i | ||||
\(176\) | 13.8214 | − | 6.99539i | 1.04183 | − | 0.527297i | ||||
\(177\) | −12.8097 | − | 12.8097i | −0.962837 | − | 0.962837i | ||||
\(178\) | 0.548652 | − | 0.628905i | 0.0411232 | − | 0.0471384i | ||||
\(179\) | −4.97364 | − | 7.44358i | −0.371748 | − | 0.556359i | 0.597681 | − | 0.801734i | \(-0.296089\pi\) |
−0.969428 | + | 0.245375i | \(0.921089\pi\) | |||||||
\(180\) | 2.02127 | + | 1.56725i | 0.150656 | + | 0.116816i | ||||
\(181\) | −0.540359 | − | 2.71657i | −0.0401645 | − | 0.201921i | 0.955493 | − | 0.295014i | \(-0.0953244\pi\) |
−0.995657 | + | 0.0930936i | \(0.970324\pi\) | |||||||
\(182\) | 2.14440 | − | 16.6218i | 0.158953 | − | 1.23209i | ||||
\(183\) | 4.66198 | − | 11.2550i | 0.344624 | − | 0.831995i | ||||
\(184\) | −11.8159 | − | 7.76263i | −0.871078 | − | 0.572269i | ||||
\(185\) | 12.4667 | + | 2.61282i | 0.916567 | + | 0.192098i | ||||
\(186\) | −4.28425 | − | 15.8245i | −0.314137 | − | 1.16031i | ||||
\(187\) | −1.91397 | − | 1.27887i | −0.139963 | − | 0.0935205i | ||||
\(188\) | 3.46763 | + | 25.3221i | 0.252903 | + | 1.84681i | ||||
\(189\) | 17.3599 | + | 3.45310i | 1.26275 | + | 0.251176i | ||||
\(190\) | −3.23270 | + | 23.1833i | −0.234525 | + | 1.68190i | ||||
\(191\) | −7.97517 | −0.577063 | −0.288531 | − | 0.957470i | \(-0.593167\pi\) | ||||
−0.288531 | + | 0.957470i | \(0.593167\pi\) | |||||||
\(192\) | 8.20309 | − | 12.7009i | 0.592007 | − | 0.916606i | ||||
\(193\) | − | 2.50603i | − | 0.180388i | −0.995924 | − | 0.0901939i | \(-0.971251\pi\) | ||
0.995924 | − | 0.0901939i | \(-0.0287487\pi\) | |||||||
\(194\) | 7.41768 | + | 14.9436i | 0.532558 | + | 1.07289i | ||||
\(195\) | 9.27497 | − | 9.08685i | 0.664194 | − | 0.650723i | ||||
\(196\) | −2.13746 | − | 15.6086i | −0.152675 | − | 1.11490i | ||||
\(197\) | −0.843429 | − | 0.563561i | −0.0600918 | − | 0.0401521i | 0.525161 | − | 0.851003i | \(-0.324005\pi\) |
−0.585253 | + | 0.810851i | \(0.699005\pi\) | |||||||
\(198\) | −3.02346 | + | 0.818555i | −0.214868 | + | 0.0581722i | ||||
\(199\) | 3.55499 | − | 1.47252i | 0.252006 | − | 0.104384i | −0.253105 | − | 0.967439i | \(-0.581452\pi\) |
0.505111 | + | 0.863055i | \(0.331452\pi\) | |||||||
\(200\) | −11.8576 | + | 7.70701i | −0.838457 | + | 0.544968i | ||||
\(201\) | 1.94106 | + | 0.804015i | 0.136912 | + | 0.0567109i | ||||
\(202\) | 0.101070 | − | 0.783418i | 0.00711124 | − | 0.0551211i | ||||
\(203\) | 34.6590 | − | 6.89410i | 2.43258 | − | 0.483871i | ||||
\(204\) | −2.24267 | − | 0.135297i | −0.157018 | − | 0.00947266i | ||||
\(205\) | 0.160464 | + | 0.00164397i | 0.0112073 | + | 0.000114820i | ||||
\(206\) | 13.6737 | + | 11.9289i | 0.952694 | + | 0.831123i | ||||
\(207\) | 2.02139 | + | 2.02139i | 0.140497 | + | 0.140497i | ||||
\(208\) | −9.32371 | − | 8.00685i | −0.646483 | − | 0.555175i | ||||
\(209\) | −20.2702 | − | 20.2702i | −1.40212 | − | 1.40212i | ||||
\(210\) | 11.6784 | − | 19.8750i | 0.805885 | − | 1.37150i | ||||
\(211\) | −19.7886 | + | 13.2223i | −1.36230 | + | 0.910262i | −0.999764 | − | 0.0217065i | \(-0.993090\pi\) |
−0.362539 | + | 0.931969i | \(0.618090\pi\) | |||||||
\(212\) | −2.21822 | + | 4.55763i | −0.152348 | + | 0.313019i | ||||
\(213\) | −1.04799 | − | 5.26860i | −0.0718071 | − | 0.360998i | ||||
\(214\) | 11.5273 | − | 8.89284i | 0.787987 | − | 0.607902i | ||||
\(215\) | 6.00757 | − | 3.92571i | 0.409713 | − | 0.267731i | ||||
\(216\) | 9.10613 | − | 9.24915i | 0.619593 | − | 0.629325i | ||||
\(217\) | −21.8575 | + | 9.05367i | −1.48378 | + | 0.614603i | ||||
\(218\) | −8.51466 | − | 4.88650i | −0.576686 | − | 0.330955i | ||||
\(219\) | −3.42230 | − | 2.28671i | −0.231257 | − | 0.154521i | ||||
\(220\) | 1.22000 | − | 17.2763i | 0.0822524 | − | 1.16477i | ||||
\(221\) | −0.356284 | + | 1.79116i | −0.0239663 | + | 0.120487i | ||||
\(222\) | −4.85655 | + | 14.4299i | −0.325950 | + | 0.968474i | ||||
\(223\) | 12.4696 | 0.835028 | 0.417514 | − | 0.908671i | \(-0.362902\pi\) | ||||
0.417514 | + | 0.908671i | \(0.362902\pi\) | |||||||
\(224\) | −19.6925 | − | 9.39536i | −1.31576 | − | 0.627754i | ||||
\(225\) | 2.66378 | − | 1.03996i | 0.177585 | − | 0.0693306i | ||||
\(226\) | 1.73029 | − | 5.14110i | 0.115097 | − | 0.341981i | ||||
\(227\) | −2.40127 | − | 0.477642i | −0.159378 | − | 0.0317022i | 0.114756 | − | 0.993394i | \(-0.463391\pi\) |
−0.274134 | + | 0.961691i | \(0.588391\pi\) | |||||||
\(228\) | −27.0633 | − | 7.10112i | −1.79231 | − | 0.470283i | ||||
\(229\) | −13.0719 | − | 8.73439i | −0.863818 | − | 0.577185i | 0.0428255 | − | 0.999083i | \(-0.486364\pi\) |
−0.906643 | + | 0.421898i | \(0.861364\pi\) | |||||||
\(230\) | −14.2294 | + | 6.88237i | −0.938256 | + | 0.453810i | ||||
\(231\) | 10.8035 | + | 26.0820i | 0.710819 | + | 1.71607i | ||||
\(232\) | 9.72985 | − | 24.0176i | 0.638796 | − | 1.57683i | ||||
\(233\) | −5.98102 | − | 2.47742i | −0.391830 | − | 0.162301i | 0.178065 | − | 0.984019i | \(-0.443016\pi\) |
−0.569895 | + | 0.821717i | \(0.693016\pi\) | |||||||
\(234\) | 1.51792 | + | 1.96759i | 0.0992297 | + | 0.128626i | ||||
\(235\) | 26.2867 | + | 11.2052i | 1.71475 | + | 0.730944i | ||||
\(236\) | 6.25637 | + | 18.1209i | 0.407255 | + | 1.17957i | ||||
\(237\) | 9.56377 | + | 14.3132i | 0.621234 | + | 0.929742i | ||||
\(238\) | 0.220456 | + | 3.23476i | 0.0142901 | + | 0.209678i | ||||
\(239\) | 0.307809 | + | 0.307809i | 0.0199105 | + | 0.0199105i | 0.716992 | − | 0.697081i | \(-0.245518\pi\) |
−0.697081 | + | 0.716992i | \(0.745518\pi\) | |||||||
\(240\) | −7.47874 | − | 15.1599i | −0.482751 | − | 0.978566i | ||||
\(241\) | −21.5339 | + | 21.5339i | −1.38712 | + | 1.38712i | −0.555815 | + | 0.831306i | \(0.687594\pi\) |
−0.831306 | + | 0.555815i | \(0.812406\pi\) | |||||||
\(242\) | 4.26047 | + | 3.71680i | 0.273873 | + | 0.238925i | ||||
\(243\) | −4.87840 | + | 3.25964i | −0.312949 | + | 0.209106i | ||||
\(244\) | −9.64821 | + | 8.55032i | −0.617663 | + | 0.547378i | ||||
\(245\) | −16.2032 | − | 6.90688i | −1.03518 | − | 0.441264i | ||||
\(246\) | −0.0245428 | + | 0.190238i | −0.00156479 | + | 0.0121291i | ||||
\(247\) | −8.70332 | + | 21.0117i | −0.553779 | + | 1.33694i | ||||
\(248\) | −3.25191 | + | 17.0413i | −0.206496 | + | 1.08213i | ||||
\(249\) | −23.5355 | + | 9.74873i | −1.49150 | + | 0.617801i | ||||
\(250\) | 0.589830 | + | 15.8004i | 0.0373041 | + | 0.999304i | ||||
\(251\) | −0.176076 | + | 0.263517i | −0.0111138 | + | 0.0166330i | −0.836985 | − | 0.547226i | \(-0.815684\pi\) |
0.825871 | + | 0.563859i | \(0.190684\pi\) | |||||||
\(252\) | 3.51408 | + | 2.66756i | 0.221366 | + | 0.168041i | ||||
\(253\) | 3.77645 | − | 18.9855i | 0.237423 | − | 1.19361i | ||||
\(254\) | −5.04025 | + | 2.50187i | −0.316254 | + | 0.156982i | ||||
\(255\) | −1.41688 | + | 2.07419i | −0.0887286 | + | 0.129891i | ||||
\(256\) | −13.6872 | + | 8.28616i | −0.855450 | + | 0.517885i | ||||
\(257\) | − | 15.4091i | − | 0.961192i | −0.876942 | − | 0.480596i | \(-0.840420\pi\) | ||
0.876942 | − | 0.480596i | \(-0.159580\pi\) | |||||||
\(258\) | 3.81398 | + | 7.68362i | 0.237448 | + | 0.478361i | ||||
\(259\) | 21.5493 | + | 4.28643i | 1.33901 | + | 0.266346i | ||||
\(260\) | −13.0334 | + | 4.35097i | −0.808299 | + | 0.269836i | ||||
\(261\) | −2.91108 | + | 4.35674i | −0.180192 | + | 0.269676i | ||||
\(262\) | −3.16160 | − | 11.6778i | −0.195324 | − | 0.721460i | ||||
\(263\) | −1.17951 | − | 2.84759i | −0.0727317 | − | 0.175590i | 0.883333 | − | 0.468747i | \(-0.155294\pi\) |
−0.956064 | + | 0.293157i | \(0.905294\pi\) | |||||||
\(264\) | 20.3350 | + | 3.88042i | 1.25153 | + | 0.238823i | ||||
\(265\) | 3.10002 | + | 4.74400i | 0.190432 | + | 0.291422i | ||||
\(266\) | −5.16625 | + | 40.0450i | −0.316763 | + | 2.45531i | ||||
\(267\) | 1.09391 | − | 0.217593i | 0.0669464 | − | 0.0133165i | ||||
\(268\) | −1.47461 | − | 1.66395i | −0.0900759 | − | 0.101642i | ||||
\(269\) | 11.0963 | + | 16.6067i | 0.676552 | + | 1.01253i | 0.997849 | + | 0.0655527i | \(0.0208811\pi\) |
−0.321297 | + | 0.946978i | \(0.604119\pi\) | |||||||
\(270\) | −3.64856 | − | 14.0454i | −0.222044 | − | 0.854776i | ||||
\(271\) | 12.7670 | − | 12.7670i | 0.775539 | − | 0.775539i | −0.203530 | − | 0.979069i | \(-0.565241\pi\) |
0.979069 | + | 0.203530i | \(0.0652414\pi\) | |||||||
\(272\) | 2.07128 | + | 1.16733i | 0.125590 | + | 0.0707798i | ||||
\(273\) | 15.8374 | − | 15.8374i | 0.958522 | − | 0.958522i | ||||
\(274\) | 4.95650 | − | 0.337797i | 0.299433 | − | 0.0204071i | ||||
\(275\) | −15.8764 | − | 11.0854i | −0.957384 | − | 0.668476i | ||||
\(276\) | −6.16598 | − | 17.8591i | −0.371148 | − | 1.07499i | ||||
\(277\) | −2.36100 | − | 11.8695i | −0.141859 | − | 0.713171i | −0.984596 | − | 0.174846i | \(-0.944057\pi\) |
0.842737 | − | 0.538325i | \(-0.180943\pi\) | |||||||
\(278\) | −3.00651 | + | 2.31941i | −0.180318 | + | 0.139109i | ||||
\(279\) | 1.34245 | − | 3.24096i | 0.0803705 | − | 0.194031i | ||||
\(280\) | −20.3164 | + | 13.5030i | −1.21414 | + | 0.806958i | ||||
\(281\) | −4.36635 | − | 10.5413i | −0.260474 | − | 0.628841i | 0.738494 | − | 0.674260i | \(-0.235537\pi\) |
−0.998968 | + | 0.0454197i | \(0.985537\pi\) | |||||||
\(282\) | −17.0013 | + | 29.6245i | −1.01241 | + | 1.76411i | ||||
\(283\) | −1.83656 | + | 2.74861i | −0.109172 | + | 0.163388i | −0.882033 | − | 0.471188i | \(-0.843825\pi\) |
0.772860 | + | 0.634576i | \(0.218825\pi\) | |||||||
\(284\) | −1.44274 | + | 5.49848i | −0.0856110 | + | 0.326275i | ||||
\(285\) | −22.3451 | + | 21.8919i | −1.32361 | + | 1.29676i | ||||
\(286\) | 5.36759 | − | 15.9484i | 0.317393 | − | 0.943048i | ||||
\(287\) | 0.276806 | 0.0163393 | ||||||||
\(288\) | 3.04980 | − | 1.07963i | 0.179711 | − | 0.0636180i | ||||
\(289\) | 16.6467i | 0.979217i | ||||||||
\(290\) | −17.4609 | − | 23.1194i | −1.02534 | − | 1.35762i | ||||
\(291\) | −4.34964 | + | 21.8671i | −0.254981 | + | 1.28187i | ||||
\(292\) | 2.19738 | + | 3.76072i | 0.128592 | + | 0.220080i | ||||
\(293\) | −15.7528 | + | 23.5757i | −0.920286 | + | 1.37731i | 0.00579602 | + | 0.999983i | \(0.498155\pi\) |
−0.926082 | + | 0.377322i | \(0.876845\pi\) | |||||||
\(294\) | 10.4796 | − | 18.2606i | 0.611183 | − | 1.06498i | ||||
\(295\) | 20.9775 | + | 4.39656i | 1.22136 | + | 0.255978i | ||||
\(296\) | 11.3037 | − | 11.4812i | 0.657012 | − | 0.667331i | ||||
\(297\) | 16.4189 | + | 6.80094i | 0.952722 | + | 0.394630i | ||||
\(298\) | −17.2257 | − | 22.3286i | −0.997855 | − | 1.29346i | ||||
\(299\) | −15.0624 | + | 2.99610i | −0.871081 | + | 0.173269i | ||||
\(300\) | −18.8379 | − | 1.52438i | −1.08761 | − | 0.0880102i | ||||
\(301\) | 10.2928 | − | 6.87743i | 0.593267 | − | 0.396408i | ||||
\(302\) | 10.5552 | − | 0.719363i | 0.607385 | − | 0.0413947i | ||||
\(303\) | 0.746447 | − | 0.746447i | 0.0428822 | − | 0.0428822i | ||||
\(304\) | 22.4625 | + | 19.2900i | 1.28831 | + | 1.10636i | ||||
\(305\) | 2.66694 | + | 14.1645i | 0.152708 | + | 0.811056i | ||||
\(306\) | −0.362271 | − | 0.316043i | −0.0207097 | − | 0.0180670i | ||||
\(307\) | 2.54879 | − | 1.70305i | 0.145467 | − | 0.0971982i | −0.480707 | − | 0.876881i | \(-0.659620\pi\) |
0.626174 | + | 0.779683i | \(0.284620\pi\) | |||||||
\(308\) | 1.79903 | − | 29.8206i | 0.102509 | − | 1.69918i | ||||
\(309\) | 4.73093 | + | 23.7840i | 0.269133 | + | 1.35302i | ||||
\(310\) | 14.4849 | + | 12.9002i | 0.822687 | + | 0.732683i | ||||
\(311\) | −18.3463 | − | 7.59929i | −1.04032 | − | 0.430916i | −0.203896 | − | 0.978993i | \(-0.565360\pi\) |
−0.836428 | + | 0.548076i | \(0.815360\pi\) | |||||||
\(312\) | −3.32961 | − | 16.0831i | −0.188502 | − | 0.910528i | ||||
\(313\) | −0.450620 | − | 1.08789i | −0.0254705 | − | 0.0614913i | 0.910633 | − | 0.413217i | \(-0.135595\pi\) |
−0.936103 | + | 0.351726i | \(0.885595\pi\) | |||||||
\(314\) | −6.46868 | − | 23.8930i | −0.365049 | − | 1.34836i | ||||
\(315\) | 4.57625 | − | 1.84085i | 0.257843 | − | 0.103720i | ||||
\(316\) | −2.47154 | − | 18.0482i | −0.139035 | − | 1.01529i | ||||
\(317\) | 1.73050 | − | 8.69980i | 0.0971944 | − | 0.488629i | −0.901271 | − | 0.433255i | \(-0.857365\pi\) |
0.998466 | − | 0.0553740i | \(-0.0176351\pi\) | |||||||
\(318\) | −6.06753 | + | 3.01179i | −0.340250 | + | 0.168893i | ||||
\(319\) | 35.4811 | 1.98656 | ||||||||
\(320\) | 0.0955011 | + | 17.8883i | 0.00533867 | + | 0.999986i | ||||
\(321\) | 19.4564 | 1.08595 | ||||||||
\(322\) | −24.4219 | + | 12.1225i | −1.36098 | + | 0.675562i | ||||
\(323\) | 0.858354 | − | 4.31524i | 0.0477601 | − | 0.240106i | ||||
\(324\) | 20.5852 | − | 2.81895i | 1.14362 | − | 0.156608i | ||||
\(325\) | −3.30511 | + | 15.0026i | −0.183335 | + | 0.832195i | ||||
\(326\) | −1.44311 | − | 5.33035i | −0.0799265 | − | 0.295221i | ||||
\(327\) | −5.02068 | − | 12.1210i | −0.277644 | − | 0.670293i | ||||
\(328\) | 0.111453 | − | 0.169648i | 0.00615396 | − | 0.00936724i | ||||
\(329\) | 45.5386 | + | 18.8627i | 2.51063 | + | 1.03994i | ||||
\(330\) | 15.3935 | − | 17.2845i | 0.847384 | − | 0.951478i | ||||
\(331\) | −0.249827 | − | 1.25596i | −0.0137317 | − | 0.0690341i | 0.973312 | − | 0.229487i | \(-0.0737047\pi\) |
−0.987044 | + | 0.160452i | \(0.948705\pi\) | |||||||
\(332\) | 26.9091 | + | 1.62338i | 1.47683 | + | 0.0890946i | ||||
\(333\) | −2.70882 | + | 1.80997i | −0.148442 | + | 0.0991860i | ||||
\(334\) | −4.65051 | − | 4.05707i | −0.254464 | − | 0.221993i | ||||
\(335\) | −2.44284 | + | 0.459946i | −0.133466 | + | 0.0251295i | ||||
\(336\) | −13.1676 | − | 26.0164i | −0.718353 | − | 1.41931i | ||||
\(337\) | −0.464319 | + | 0.464319i | −0.0252931 | + | 0.0252931i | −0.719640 | − | 0.694347i | \(-0.755693\pi\) |
0.694347 | + | 0.719640i | \(0.255693\pi\) | |||||||
\(338\) | 5.02285 | − | 0.342319i | 0.273207 | − | 0.0186197i | ||||
\(339\) | 6.02753 | − | 4.02747i | 0.327370 | − | 0.218742i | ||||
\(340\) | 2.30876 | − | 1.31746i | 0.125210 | − | 0.0714493i | ||||
\(341\) | −23.2978 | + | 4.63421i | −1.26164 | + | 0.250957i | ||||
\(342\) | −3.65695 | − | 4.74029i | −0.197745 | − | 0.256326i | ||||
\(343\) | −3.12571 | − | 1.29471i | −0.168772 | − | 0.0699078i | ||||
\(344\) | −0.0707298 | − | 9.07735i | −0.00381349 | − | 0.489418i | ||||
\(345\) | −20.6744 | − | 4.33304i | −1.11307 | − | 0.233283i | ||||
\(346\) | −5.01191 | + | 8.73319i | −0.269442 | + | 0.469499i | ||||
\(347\) | −16.4177 | + | 24.5708i | −0.881349 | + | 1.31903i | 0.0656655 | + | 0.997842i | \(0.479083\pi\) |
−0.947015 | + | 0.321190i | \(0.895917\pi\) | |||||||
\(348\) | 29.9008 | − | 17.4710i | 1.60285 | − | 0.936542i | ||||
\(349\) | 0.122684 | − | 0.616776i | 0.00656715 | − | 0.0330153i | −0.977363 | − | 0.211570i | \(-0.932142\pi\) |
0.983930 | + | 0.178555i | \(0.0571423\pi\) | |||||||
\(350\) | 1.29658 | + | 27.2429i | 0.0693053 | + | 1.45619i | ||||
\(351\) | − | 14.0994i | − | 0.752572i | ||||||
\(352\) | −17.5520 | − | 13.1095i | −0.935524 | − | 0.698740i | ||||
\(353\) | −20.5982 | −1.09633 | −0.548167 | − | 0.836369i | \(-0.684674\pi\) | ||||
−0.548167 | + | 0.836369i | \(0.684674\pi\) | |||||||
\(354\) | −8.17206 | + | 24.2811i | −0.434340 | + | 1.29053i | ||||
\(355\) | 4.44780 | + | 4.53988i | 0.236065 | + | 0.240952i | ||||
\(356\) | −1.14164 | − | 0.299555i | −0.0605069 | − | 0.0158764i | ||||
\(357\) | −2.40726 | + | 3.60272i | −0.127406 | + | 0.190676i | ||||
\(358\) | −6.30175 | + | 10.9807i | −0.333058 | + | 0.580349i | ||||
\(359\) | 3.63817 | + | 8.78331i | 0.192015 | + | 0.463565i | 0.990340 | − | 0.138662i | \(-0.0442801\pi\) |
−0.798325 | + | 0.602227i | \(0.794280\pi\) | |||||||
\(360\) | 0.714366 | − | 3.54588i | 0.0376504 | − | 0.186884i | ||||
\(361\) | 13.6969 | − | 33.0673i | 0.720890 | − | 1.74038i | ||||
\(362\) | −3.10142 | + | 2.39262i | −0.163007 | + | 0.125754i | ||||
\(363\) | 1.47407 | + | 7.41063i | 0.0773684 | + | 0.388957i | ||||
\(364\) | −22.4039 | + | 7.73511i | −1.17428 | + | 0.405430i | ||||
\(365\) | 4.86948 | + | 0.0498885i | 0.254880 | + | 0.00261129i | ||||
\(366\) | −17.1886 | + | 1.17144i | −0.898461 | + | 0.0612322i | ||||
\(367\) | 9.62899 | − | 9.62899i | 0.502629 | − | 0.502629i | −0.409625 | − | 0.912254i | \(-0.634340\pi\) |
0.912254 | + | 0.409625i | \(0.134340\pi\) | |||||||
\(368\) | −2.40362 | + | 19.8487i | −0.125298 | + | 1.03468i | ||||
\(369\) | −0.0290224 | + | 0.0290224i | −0.00151085 | + | 0.00151085i | ||||
\(370\) | −4.52905 | − | 17.4349i | −0.235454 | − | 0.906398i | ||||
\(371\) | 5.43090 | + | 8.12792i | 0.281958 | + | 0.421981i | ||||
\(372\) | −17.3517 | + | 15.3772i | −0.899645 | + | 0.797272i | ||||
\(373\) | −26.0380 | + | 5.17928i | −1.34820 | + | 0.268173i | −0.815806 | − | 0.578325i | \(-0.803706\pi\) |
−0.532391 | + | 0.846499i | \(0.678706\pi\) | |||||||
\(374\) | −0.416530 | + | 3.22864i | −0.0215382 | + | 0.166949i | ||||
\(375\) | −12.2737 | + | 17.2002i | −0.633812 | + | 0.888213i | ||||
\(376\) | 29.8962 | − | 20.3147i | 1.54178 | − | 1.04765i | ||||
\(377\) | −10.7723 | − | 26.0067i | −0.554803 | − | 1.33941i | ||||
\(378\) | −6.54144 | − | 24.1618i | −0.336455 | − | 1.24275i | ||||
\(379\) | 7.07568 | − | 10.5895i | 0.363453 | − | 0.543946i | −0.604004 | − | 0.796981i | \(-0.706429\pi\) |
0.967457 | + | 0.253035i | \(0.0814289\pi\) | |||||||
\(380\) | 31.3999 | − | 10.4823i | 1.61078 | − | 0.537730i | ||||
\(381\) | −7.37546 | − | 1.46707i | −0.377856 | − | 0.0751603i | ||||
\(382\) | 5.01465 | + | 10.1025i | 0.256572 | + | 0.516887i | ||||
\(383\) | − | 2.45552i | − | 0.125471i | −0.998030 | − | 0.0627355i | \(-0.980018\pi\) | ||
0.998030 | − | 0.0627355i | \(-0.0199824\pi\) | |||||||
\(384\) | −21.2467 | − | 2.40510i | −1.08424 | − | 0.122735i | ||||
\(385\) | −27.5804 | − | 18.8402i | −1.40563 | − | 0.960183i | ||||
\(386\) | −3.17449 | + | 1.57575i | −0.161577 | + | 0.0802034i | ||||
\(387\) | −0.358094 | + | 1.80026i | −0.0182029 | + | 0.0915122i | ||||
\(388\) | 14.2656 | − | 18.7925i | 0.724224 | − | 0.954047i | ||||
\(389\) | −16.1117 | + | 24.1128i | −0.816894 | + | 1.22257i | 0.155179 | + | 0.987886i | \(0.450405\pi\) |
−0.972072 | + | 0.234681i | \(0.924595\pi\) | |||||||
\(390\) | −17.3426 | − | 6.03532i | −0.878178 | − | 0.305611i | ||||
\(391\) | 2.74487 | − | 1.13696i | 0.138814 | − | 0.0574986i | ||||
\(392\) | −18.4281 | + | 12.5220i | −0.930759 | + | 0.632458i | ||||
\(393\) | 6.18726 | − | 14.9374i | 0.312106 | − | 0.753490i | ||||
\(394\) | −0.183552 | + | 1.42276i | −0.00924723 | + | 0.0716777i | ||||
\(395\) | −18.7357 | − | 7.98642i | −0.942696 | − | 0.401841i | ||||
\(396\) | 2.93799 | + | 3.31524i | 0.147640 | + | 0.166597i | ||||
\(397\) | 28.3940 | − | 18.9723i | 1.42505 | − | 0.952190i | 0.426185 | − | 0.904636i | \(-0.359857\pi\) |
0.998869 | − | 0.0475539i | \(-0.0151426\pi\) | |||||||
\(398\) | −4.10062 | − | 3.57735i | −0.205545 | − | 0.179316i | ||||
\(399\) | −38.1551 | + | 38.1551i | −1.91015 | + | 1.91015i | ||||
\(400\) | 17.2186 | + | 10.1744i | 0.860931 | + | 0.508722i | ||||
\(401\) | 23.2222 | + | 23.2222i | 1.15966 | + | 1.15966i | 0.984548 | + | 0.175114i | \(0.0560293\pi\) |
0.175114 | + | 0.984548i | \(0.443971\pi\) | |||||||
\(402\) | −0.202029 | − | 2.96438i | −0.0100763 | − | 0.147850i | ||||
\(403\) | 10.4701 | + | 15.6697i | 0.521554 | + | 0.780561i | ||||
\(404\) | −1.05594 | + | 0.364571i | −0.0525349 | + | 0.0181381i | ||||
\(405\) | 9.10904 | − | 21.3693i | 0.452632 | − | 1.06185i | ||||
\(406\) | −30.5260 | − | 39.5691i | −1.51498 | − | 1.96378i | ||||
\(407\) | 20.3812 | + | 8.44218i | 1.01026 | + | 0.418463i | ||||
\(408\) | 1.23877 | + | 2.92595i | 0.0613281 | + | 0.144856i | ||||
\(409\) | 4.35775 | + | 10.5205i | 0.215477 | + | 0.520207i | 0.994248 | − | 0.107101i | \(-0.0341568\pi\) |
−0.778771 | + | 0.627308i | \(0.784157\pi\) | |||||||
\(410\) | −0.0988145 | − | 0.204300i | −0.00488010 | − | 0.0100897i | ||||
\(411\) | 5.52031 | + | 3.68855i | 0.272297 | + | 0.181943i | ||||
\(412\) | 6.51296 | − | 24.8217i | 0.320871 | − | 1.22288i | ||||
\(413\) | 36.2608 | + | 7.21272i | 1.78428 | + | 0.354915i | ||||
\(414\) | 1.28956 | − | 3.83160i | 0.0633786 | − | 0.188313i | ||||
\(415\) | 17.0007 | − | 24.8876i | 0.834533 | − | 1.22168i | ||||
\(416\) | −4.28002 | + | 16.8453i | −0.209845 | + | 0.825908i | ||||
\(417\) | −5.07457 | −0.248503 | ||||||||
\(418\) | −12.9315 | + | 38.4226i | −0.632501 | + | 1.87931i | ||||
\(419\) | 7.41995 | − | 37.3026i | 0.362488 | − | 1.82235i | −0.181660 | − | 0.983361i | \(-0.558147\pi\) |
0.544148 | − | 0.838989i | \(-0.316853\pi\) | |||||||
\(420\) | −32.5196 | − | 2.29644i | −1.58679 | − | 0.112055i | ||||
\(421\) | −28.0998 | − | 18.7757i | −1.36950 | − | 0.915072i | −0.369601 | − | 0.929190i | \(-0.620506\pi\) |
−0.999900 | + | 0.0141187i | \(0.995506\pi\) | |||||||
\(422\) | 29.1920 | + | 16.7531i | 1.42104 | + | 0.815526i | ||||
\(423\) | −6.75233 | + | 2.79691i | −0.328310 | + | 0.135990i | ||||
\(424\) | 7.16812 | − | 0.0558532i | 0.348115 | − | 0.00271247i | ||||
\(425\) | 0.0608899 | − | 2.97134i | 0.00295360 | − | 0.144131i | ||||
\(426\) | −6.01499 | + | 4.64034i | −0.291427 | + | 0.224825i | ||||
\(427\) | 4.85038 | + | 24.3845i | 0.234726 | + | 1.18005i | ||||
\(428\) | −18.5131 | − | 9.01038i | −0.894863 | − | 0.435533i | ||||
\(429\) | 18.6982 | − | 12.4937i | 0.902758 | − | 0.603203i | ||||
\(430\) | −8.75031 | − | 5.14161i | −0.421977 | − | 0.247951i | ||||
\(431\) | 20.1912 | + | 20.1912i | 0.972574 | + | 0.972574i | 0.999634 | − | 0.0270593i | \(-0.00861431\pi\) |
−0.0270593 | + | 0.999634i | \(0.508614\pi\) | |||||||
\(432\) | −17.4421 | − | 5.71940i | −0.839181 | − | 0.275175i | ||||
\(433\) | 20.0447 | + | 20.0447i | 0.963289 | + | 0.963289i | 0.999350 | − | 0.0360606i | \(-0.0114809\pi\) |
−0.0360606 | + | 0.999350i | \(0.511481\pi\) | |||||||
\(434\) | 25.2123 | + | 21.9950i | 1.21023 | + | 1.05579i | ||||
\(435\) | 0.396655 | − | 38.7164i | 0.0190181 | − | 1.85631i | ||||
\(436\) | −0.836056 | + | 13.8584i | −0.0400398 | + | 0.663698i | ||||
\(437\) | 36.2881 | − | 7.21815i | 1.73589 | − | 0.345291i | ||||
\(438\) | −0.744782 | + | 5.77301i | −0.0355871 | + | 0.275845i | ||||
\(439\) | 25.9676 | + | 10.7561i | 1.23937 | + | 0.513362i | 0.903517 | − | 0.428553i | \(-0.140976\pi\) |
0.335850 | + | 0.941915i | \(0.390976\pi\) | |||||||
\(440\) | −22.6517 | + | 9.31759i | −1.07988 | + | 0.444199i | ||||
\(441\) | 4.16215 | − | 1.72402i | 0.198198 | − | 0.0820962i | ||||
\(442\) | 2.49296 | − | 0.674932i | 0.118578 | − | 0.0321033i | ||||
\(443\) | −30.5945 | − | 20.4426i | −1.45359 | − | 0.971256i | −0.996652 | − | 0.0817552i | \(-0.973947\pi\) |
−0.456934 | − | 0.889500i | \(-0.651053\pi\) | |||||||
\(444\) | 21.3327 | − | 2.92132i | 1.01241 | − | 0.138640i | ||||
\(445\) | −0.942610 | + | 0.923492i | −0.0446840 | + | 0.0437777i | ||||
\(446\) | −7.84068 | − | 15.7958i | −0.371267 | − | 0.747952i | ||||
\(447\) | − | 37.6876i | − | 1.78256i | ||||||
\(448\) | 0.480836 | + | 30.8530i | 0.0227173 | + | 1.45767i | ||||
\(449\) | −1.16707 | −0.0550774 | −0.0275387 | − | 0.999621i | \(-0.508767\pi\) | ||||
−0.0275387 | + | 0.999621i | \(0.508767\pi\) | |||||||
\(450\) | −2.99230 | − | 2.72041i | −0.141058 | − | 0.128241i | ||||
\(451\) | 0.272586 | + | 0.0542208i | 0.0128356 | + | 0.00255316i | ||||
\(452\) | −7.60042 | + | 1.04081i | −0.357494 | + | 0.0489554i | ||||
\(453\) | 11.7559 | + | 7.85505i | 0.552341 | + | 0.369062i | ||||
\(454\) | 0.904828 | + | 3.34212i | 0.0424657 | + | 0.156853i | ||||
\(455\) | −5.43572 | + | 25.9357i | −0.254830 | + | 1.21588i | ||||
\(456\) | 8.02164 | + | 38.7472i | 0.375648 | + | 1.81450i | ||||
\(457\) | −5.17737 | + | 12.4993i | −0.242187 | + | 0.584692i | −0.997500 | − | 0.0706733i | \(-0.977485\pi\) |
0.755312 | + | 0.655365i | \(0.227485\pi\) | |||||||
\(458\) | −2.84480 | + | 22.0508i | −0.132929 | + | 1.03037i | ||||
\(459\) | 0.532137 | + | 2.67523i | 0.0248380 | + | 0.124869i | ||||
\(460\) | 17.6654 | + | 13.6974i | 0.823651 | + | 0.638644i | ||||
\(461\) | −16.8675 | − | 25.2440i | −0.785598 | − | 1.17573i | −0.980809 | − | 0.194970i | \(-0.937539\pi\) |
0.195211 | − | 0.980761i | \(-0.437461\pi\) | |||||||
\(462\) | 26.2461 | − | 30.0852i | 1.22108 | − | 1.39969i | ||||
\(463\) | 14.2760 | + | 14.2760i | 0.663463 | + | 0.663463i | 0.956195 | − | 0.292732i | \(-0.0945642\pi\) |
−0.292732 | + | 0.956195i | \(0.594564\pi\) | |||||||
\(464\) | −36.5420 | + | 2.77663i | −1.69642 | + | 0.128902i | ||||
\(465\) | 4.79633 | + | 25.4740i | 0.222424 | + | 1.18133i | ||||
\(466\) | 0.622514 | + | 9.13416i | 0.0288374 | + | 0.423132i | ||||
\(467\) | −10.4413 | − | 15.6265i | −0.483166 | − | 0.723109i | 0.507163 | − | 0.861850i | \(-0.330694\pi\) |
−0.990329 | + | 0.138742i | \(0.955694\pi\) | |||||||
\(468\) | 1.53799 | − | 3.16000i | 0.0710934 | − | 0.146071i | ||||
\(469\) | −4.20540 | + | 0.836507i | −0.194188 | + | 0.0386263i | ||||
\(470\) | −2.33458 | − | 40.3440i | −0.107686 | − | 1.86093i | ||||
\(471\) | 12.6592 | − | 30.5620i | 0.583306 | − | 1.40822i | ||||
\(472\) | 19.0206 | − | 19.3193i | 0.875492 | − | 0.889243i | ||||
\(473\) | 11.4831 | − | 4.75644i | 0.527992 | − | 0.218701i | ||||
\(474\) | 12.1176 | − | 21.1147i | 0.556578 | − | 0.969831i | ||||
\(475\) | 7.96263 | − | 36.1440i | 0.365350 | − | 1.65840i | ||||
\(476\) | 3.95898 | − | 2.31322i | 0.181460 | − | 0.106026i | ||||
\(477\) | −1.42161 | − | 0.282776i | −0.0650911 | − | 0.0129474i | ||||
\(478\) | 0.196369 | − | 0.583459i | 0.00898171 | − | 0.0266868i | ||||
\(479\) | − | 13.9055i | − | 0.635359i | −0.948198 | − | 0.317679i | \(-0.897096\pi\) | ||
0.948198 | − | 0.317679i | \(-0.102904\pi\) | |||||||
\(480\) | −14.5011 | + | 19.0059i | −0.661883 | + | 0.867497i | ||||
\(481\) | − | 17.5020i | − | 0.798022i | ||||||
\(482\) | 40.8180 | + | 13.7377i | 1.85921 | + | 0.625736i | ||||
\(483\) | −35.7369 | − | 7.10851i | −1.62609 | − | 0.323449i | ||||
\(484\) | 2.02931 | − | 7.73397i | 0.0922415 | − | 0.351544i | ||||
\(485\) | −9.84447 | − | 24.4728i | −0.447014 | − | 1.11125i | ||||
\(486\) | 7.19657 | + | 4.13006i | 0.326443 | + | 0.187343i | ||||
\(487\) | 9.13486 | − | 3.78378i | 0.413940 | − | 0.171460i | −0.165987 | − | 0.986128i | \(-0.553081\pi\) |
0.579927 | + | 0.814668i | \(0.303081\pi\) | |||||||
\(488\) | 16.8977 | + | 6.84548i | 0.764922 | + | 0.309881i | ||||
\(489\) | 2.82417 | − | 6.81815i | 0.127713 | − | 0.308327i | ||||
\(490\) | 1.43904 | + | 24.8681i | 0.0650091 | + | 1.12343i | ||||
\(491\) | −28.4073 | + | 5.65056i | −1.28200 | + | 0.255006i | −0.788660 | − | 0.614829i | \(-0.789225\pi\) |
−0.493342 | + | 0.869835i | \(0.664225\pi\) | |||||||
\(492\) | 0.256414 | − | 0.0885288i | 0.0115600 | − | 0.00399119i | ||||
\(493\) | 3.02548 | + | 4.52795i | 0.136261 | + | 0.203929i | ||||
\(494\) | 32.0888 | − | 2.18693i | 1.44374 | − | 0.0983946i | ||||
\(495\) | 4.86708 | − | 0.916392i | 0.218759 | − | 0.0411888i | ||||
\(496\) | 23.6317 | − | 6.59597i | 1.06109 | − | 0.296168i | ||||
\(497\) | 7.75203 | + | 7.75203i | 0.347726 | + | 0.347726i | ||||
\(498\) | 27.1478 | + | 23.6836i | 1.21652 | + | 1.06129i | ||||
\(499\) | 14.6373 | + | 21.9063i | 0.655258 | + | 0.980662i | 0.999132 | + | 0.0416469i | \(0.0132604\pi\) |
−0.343875 | + | 0.939016i | \(0.611740\pi\) | |||||||
\(500\) | 19.6441 | − | 10.6822i | 0.878512 | − | 0.477721i | ||||
\(501\) | −1.60901 | − | 8.08906i | −0.0718855 | − | 0.361393i | ||||
\(502\) | 0.444521 | + | 0.0573482i | 0.0198400 | + | 0.00255958i | ||||
\(503\) | −10.5685 | + | 25.5146i | −0.471226 | + | 1.13764i | 0.492396 | + | 0.870372i | \(0.336121\pi\) |
−0.963622 | + | 0.267269i | \(0.913879\pi\) | |||||||
\(504\) | 1.16952 | − | 6.12875i | 0.0520944 | − | 0.272996i | ||||
\(505\) | −0.256196 | + | 1.22240i | −0.0114006 | + | 0.0543961i | ||||
\(506\) | −26.4242 | + | 7.15396i | −1.17470 | + | 0.318032i | ||||
\(507\) | 5.59421 | + | 3.73793i | 0.248447 | + | 0.166007i | ||||
\(508\) | 6.33845 | + | 4.81156i | 0.281223 | + | 0.213478i | ||||
\(509\) | −17.7085 | − | 3.52244i | −0.784915 | − | 0.156129i | −0.213667 | − | 0.976907i | \(-0.568541\pi\) |
−0.571248 | + | 0.820777i | \(0.693541\pi\) | |||||||
\(510\) | 3.51838 | + | 0.490605i | 0.155796 | + | 0.0217243i | ||||
\(511\) | 8.40003 | 0.371595 | ||||||||
\(512\) | 19.1027 | + | 12.1279i | 0.844228 | + | 0.535984i | ||||
\(513\) | 33.9681i | 1.49973i | ||||||||
\(514\) | −19.5193 | + | 9.68896i | −0.860959 | + | 0.427362i | ||||
\(515\) | −20.0787 | − | 20.4943i | −0.884772 | − | 0.903089i | ||||
\(516\) | 7.33498 | − | 9.66265i | 0.322905 | − | 0.425375i | ||||
\(517\) | 41.1497 | + | 27.4953i | 1.80976 | + | 1.20924i | ||||
\(518\) | −8.12005 | − | 29.9926i | −0.356775 | − | 1.31780i | ||||
\(519\) | −12.4321 | + | 5.14954i | −0.545708 | + | 0.226040i | ||||
\(520\) | 13.7068 | + | 13.7742i | 0.601081 | + | 0.604037i | ||||
\(521\) | 2.87195 | + | 1.18960i | 0.125823 | + | 0.0521174i | 0.444706 | − | 0.895676i | \(-0.353308\pi\) |
−0.318884 | + | 0.947794i | \(0.603308\pi\) | |||||||
\(522\) | 7.34930 | + | 0.948142i | 0.321670 | + | 0.0414991i | ||||
\(523\) | 18.1104 | − | 3.60238i | 0.791912 | − | 0.157521i | 0.217471 | − | 0.976067i | \(-0.430219\pi\) |
0.574441 | + | 0.818546i | \(0.305219\pi\) | |||||||
\(524\) | −12.8048 | + | 11.3478i | −0.559382 | + | 0.495729i | ||||
\(525\) | −20.8664 | + | 29.8846i | −0.910685 | + | 1.30427i | ||||
\(526\) | −2.86550 | + | 3.28465i | −0.124942 | + | 0.143217i | ||||
\(527\) | −2.57800 | − | 2.57800i | −0.112300 | − | 0.112300i | ||||
\(528\) | −7.87081 | − | 28.1991i | −0.342533 | − | 1.22721i | ||||
\(529\) | 1.40302 | + | 1.40302i | 0.0610008 | + | 0.0610008i | ||||
\(530\) | 4.06018 | − | 6.90986i | 0.176363 | − | 0.300145i | ||||
\(531\) | −4.55810 | + | 3.04562i | −0.197805 | + | 0.132169i | ||||
\(532\) | 53.9750 | − | 18.6353i | 2.34011 | − | 0.807942i | ||||
\(533\) | −0.0430168 | − | 0.216260i | −0.00186327 | − | 0.00936727i | ||||
\(534\) | −0.963468 | − | 1.24889i | −0.0416933 | − | 0.0540446i | ||||
\(535\) | −19.2701 | + | 12.5922i | −0.833118 | + | 0.544410i | ||||
\(536\) | −1.18059 | + | 2.91421i | −0.0509936 | + | 0.125875i | ||||
\(537\) | −15.6315 | + | 6.47479i | −0.674551 | + | 0.279408i | ||||
\(538\) | 14.0593 | − | 24.4981i | 0.606139 | − | 1.05619i | ||||
\(539\) | −25.3647 | − | 16.9482i | −1.09254 | − | 0.730010i | ||||
\(540\) | −15.4977 | + | 13.4533i | −0.666916 | + | 0.578938i | ||||
\(541\) | −8.75795 | + | 44.0292i | −0.376534 | + | 1.89296i | 0.0688561 | + | 0.997627i | \(0.478065\pi\) |
−0.445390 | + | 0.895337i | \(0.646935\pi\) | |||||||
\(542\) | −24.2001 | − | 8.14480i | −1.03948 | − | 0.349849i | ||||
\(543\) | −5.23476 | −0.224645 | ||||||||
\(544\) | 0.176322 | − | 3.35777i | 0.00755976 | − | 0.143963i | ||||
\(545\) | 12.8173 | + | 8.75552i | 0.549034 | + | 0.375045i | ||||
\(546\) | −30.0201 | − | 10.1036i | −1.28474 | − | 0.432393i | ||||
\(547\) | −1.90141 | − | 0.378215i | −0.0812986 | − | 0.0161713i | 0.154273 | − | 0.988028i | \(-0.450696\pi\) |
−0.235572 | + | 0.971857i | \(0.575696\pi\) | |||||||
\(548\) | −3.54446 | − | 6.06620i | −0.151412 | − | 0.259135i | ||||
\(549\) | −3.06521 | − | 2.04811i | −0.130820 | − | 0.0874111i | ||||
\(550\) | −4.05953 | + | 27.0816i | −0.173099 | + | 1.15476i | ||||
\(551\) | 25.9525 | + | 62.6549i | 1.10561 | + | 2.66919i | ||||
\(552\) | −18.7457 | + | 19.0402i | −0.797872 | + | 0.810404i | ||||
\(553\) | −32.4575 | − | 13.4443i | −1.38023 | − | 0.571711i | ||||
\(554\) | −13.5511 | + | 10.4541i | −0.575730 | + | 0.444153i | ||||
\(555\) | 9.43981 | − | 22.1453i | 0.400698 | − | 0.940015i | ||||
\(556\) | 4.82853 | + | 2.35006i | 0.204775 | + | 0.0996649i | ||||
\(557\) | 1.03177 | + | 1.54415i | 0.0437173 | + | 0.0654276i | 0.852684 | − | 0.522426i | \(-0.174973\pi\) |
−0.808967 | + | 0.587854i | \(0.799973\pi\) | |||||||
\(558\) | −4.94957 | + | 0.337325i | −0.209532 | + | 0.0142801i | ||||
\(559\) | −6.97268 | − | 6.97268i | −0.294913 | − | 0.294913i | ||||
\(560\) | 29.8794 | + | 17.2451i | 1.26263 | + | 0.728740i | ||||
\(561\) | −3.07627 | + | 3.07627i | −0.129880 | + | 0.129880i | ||||
\(562\) | −10.6076 | + | 12.1592i | −0.447455 | + | 0.512905i | ||||
\(563\) | −36.0717 | + | 24.1023i | −1.52024 | + | 1.01579i | −0.534952 | + | 0.844882i | \(0.679670\pi\) |
−0.985287 | + | 0.170909i | \(0.945330\pi\) | |||||||
\(564\) | 48.2166 | + | 2.90883i | 2.03029 | + | 0.122484i | ||||
\(565\) | −3.36322 | + | 7.88992i | −0.141492 | + | 0.331932i | ||||
\(566\) | 4.63657 | + | 0.598169i | 0.194890 | + | 0.0251429i | ||||
\(567\) | 15.3341 | − | 37.0199i | 0.643973 | − | 1.55469i | ||||
\(568\) | 7.87232 | − | 1.62977i | 0.330315 | − | 0.0683835i | ||||
\(569\) | 11.1868 | − | 4.63373i | 0.468975 | − | 0.194256i | −0.135665 | − | 0.990755i | \(-0.543317\pi\) |
0.604640 | + | 0.796499i | \(0.293317\pi\) | |||||||
\(570\) | 41.7816 | + | 14.5402i | 1.75004 | + | 0.609022i | ||||
\(571\) | 14.8360 | − | 22.2036i | 0.620867 | − | 0.929193i | −0.379126 | − | 0.925345i | \(-0.623775\pi\) |
0.999993 | − | 0.00384781i | \(-0.00122480\pi\) | |||||||
\(572\) | −23.5775 | + | 3.22872i | −0.985826 | + | 0.135000i | ||||
\(573\) | −2.94053 | + | 14.7831i | −0.122843 | + | 0.617571i | ||||
\(574\) | −0.174051 | − | 0.350641i | −0.00726473 | − | 0.0146355i | ||||
\(575\) | 23.2808 | − | 9.08898i | 0.970876 | − | 0.379037i | ||||
\(576\) | −3.28528 | − | 3.18445i | −0.136887 | − | 0.132685i | ||||
\(577\) | − | 25.9524i | − | 1.08041i | −0.841533 | − | 0.540205i | \(-0.818347\pi\) | ||
0.841533 | − | 0.540205i | \(-0.181653\pi\) | |||||||
\(578\) | 21.0871 | − | 10.4672i | 0.877106 | − | 0.435376i | ||||
\(579\) | −4.64526 | − | 0.924001i | −0.193051 | − | 0.0384002i | ||||
\(580\) | −18.3072 | + | 36.6555i | −0.760166 | + | 1.52204i | ||||
\(581\) | 28.8839 | − | 43.2279i | 1.19831 | − | 1.79339i | ||||
\(582\) | 30.4350 | − | 8.23981i | 1.26157 | − | 0.341551i | ||||
\(583\) | 3.75602 | + | 9.06784i | 0.155558 | + | 0.375551i | ||||
\(584\) | 3.38218 | − | 5.14819i | 0.139956 | − | 0.213033i | ||||
\(585\) | −2.14937 | − | 3.28922i | −0.0888656 | − | 0.135992i | ||||
\(586\) | 39.7693 | + | 5.13069i | 1.64286 | + | 0.211947i | ||||
\(587\) | −4.83195 | + | 0.961135i | −0.199436 | + | 0.0396703i | −0.293797 | − | 0.955868i | \(-0.594919\pi\) |
0.0943614 | + | 0.995538i | \(0.469919\pi\) | |||||||
\(588\) | −29.7208 | − | 1.79301i | −1.22567 | − | 0.0739425i | ||||
\(589\) | −25.2245 | − | 37.7511i | −1.03936 | − | 1.55551i | ||||
\(590\) | −7.62099 | − | 29.3375i | −0.313751 | − | 1.20781i | ||||
\(591\) | −1.35562 | + | 1.35562i | −0.0557627 | + | 0.0557627i | ||||
\(592\) | −21.6513 | − | 7.09963i | −0.889861 | − | 0.291793i | ||||
\(593\) | −21.7343 | + | 21.7343i | −0.892522 | + | 0.892522i | −0.994760 | − | 0.102238i | \(-0.967400\pi\) |
0.102238 | + | 0.994760i | \(0.467400\pi\) | |||||||
\(594\) | −1.70891 | − | 25.0748i | −0.0701173 | − | 1.02883i | ||||
\(595\) | 0.0525186 | − | 5.12620i | 0.00215305 | − | 0.210154i | ||||
\(596\) | −17.4533 | + | 35.8603i | −0.714917 | + | 1.46889i | ||||
\(597\) | −1.41876 | − | 7.13259i | −0.0580660 | − | 0.291917i | ||||
\(598\) | 13.2663 | + | 17.1963i | 0.542497 | + | 0.703207i | ||||
\(599\) | 0.576308 | − | 1.39133i | 0.0235473 | − | 0.0568482i | −0.911669 | − | 0.410926i | \(-0.865205\pi\) |
0.935216 | + | 0.354078i | \(0.115205\pi\) | |||||||
\(600\) | 9.91398 | + | 24.8213i | 0.404736 | + | 1.01333i | ||||
\(601\) | 5.86822 | + | 14.1671i | 0.239369 | + | 0.577889i | 0.997218 | − | 0.0745416i | \(-0.0237494\pi\) |
−0.757848 | + | 0.652431i | \(0.773749\pi\) | |||||||
\(602\) | −15.1839 | − | 8.71390i | −0.618848 | − | 0.355152i | ||||
\(603\) | 0.353221 | − | 0.528633i | 0.0143843 | − | 0.0215276i | ||||
\(604\) | −7.54820 | − | 12.9184i | −0.307132 | − | 0.525643i | ||||
\(605\) | −6.25612 | − | 6.38564i | −0.254348 | − | 0.259613i | ||||
\(606\) | −1.41491 | − | 0.476202i | −0.0574767 | − | 0.0193444i | ||||
\(607\) | −21.6509 | −0.878783 | −0.439392 | − | 0.898296i | \(-0.644806\pi\) | ||||
−0.439392 | + | 0.898296i | \(0.644806\pi\) | |||||||
\(608\) | 10.3113 | − | 40.5834i | 0.418180 | − | 1.64587i | ||||
\(609\) | − | 66.7871i | − | 2.70635i | ||||||
\(610\) | 16.2658 | − | 12.2847i | 0.658583 | − | 0.497393i | ||||
\(611\) | 7.65999 | − | 38.5094i | 0.309890 | − | 1.55792i | ||||
\(612\) | −0.172554 | + | 0.657626i | −0.00697509 | + | 0.0265830i | ||||
\(613\) | −8.49102 | + | 12.7077i | −0.342949 | + | 0.513259i | −0.962349 | − | 0.271816i | \(-0.912376\pi\) |
0.619400 | + | 0.785075i | \(0.287376\pi\) | |||||||
\(614\) | −3.75996 | − | 2.15781i | −0.151740 | − | 0.0870823i | ||||
\(615\) | 0.0622122 | − | 0.296836i | 0.00250864 | − | 0.0119696i | ||||
\(616\) | −38.9061 | + | 16.4718i | −1.56757 | + | 0.663666i | ||||
\(617\) | −33.0856 | − | 13.7045i | −1.33198 | − | 0.551723i | −0.400759 | − | 0.916184i | \(-0.631253\pi\) |
−0.931219 | + | 0.364460i | \(0.881253\pi\) | |||||||
\(618\) | 27.1534 | − | 20.9478i | 1.09227 | − | 0.842645i | ||||
\(619\) | −43.1981 | + | 8.59265i | −1.73628 | + | 0.345368i | −0.958917 | − | 0.283685i | \(-0.908443\pi\) |
−0.777363 | + | 0.629053i | \(0.783443\pi\) | |||||||
\(620\) | 7.23337 | − | 26.4600i | 0.290499 | − | 1.06266i | ||||
\(621\) | −19.0719 | + | 12.7434i | −0.765327 | + | 0.511375i | ||||
\(622\) | 1.90951 | + | 28.0183i | 0.0765645 | + | 1.12343i | ||||
\(623\) | −1.60954 | + | 1.60954i | −0.0644850 | + | 0.0644850i | ||||
\(624\) | −18.2795 | + | 14.3305i | −0.731768 | + | 0.573681i | ||||
\(625\) | 1.02419 | − | 24.9790i | 0.0409676 | − | 0.999160i | ||||
\(626\) | −1.09474 | + | 1.25487i | −0.0437544 | + | 0.0501546i | ||||
\(627\) | −45.0474 | + | 30.0997i | −1.79902 | + | 1.20207i | ||||
\(628\) | −26.1989 | + | 23.2177i | −1.04545 | + | 0.926486i | ||||
\(629\) | 0.660555 | + | 3.32083i | 0.0263380 | + | 0.132410i | ||||
\(630\) | −5.20935 | − | 4.63943i | −0.207545 | − | 0.184839i | ||||
\(631\) | −15.7000 | − | 6.50316i | −0.625007 | − | 0.258887i | 0.0476227 | − | 0.998865i | \(-0.484835\pi\) |
−0.672630 | + | 0.739979i | \(0.734835\pi\) | |||||||
\(632\) | −21.3084 | + | 14.4792i | −0.847602 | + | 0.575953i | ||||
\(633\) | 17.2131 | + | 41.5561i | 0.684159 | + | 1.65171i | ||||
\(634\) | −12.1085 | + | 3.27819i | −0.480890 | + | 0.130194i | ||||
\(635\) | 8.25432 | − | 3.32039i | 0.327563 | − | 0.131766i | ||||
\(636\) | 7.63031 | + | 5.79222i | 0.302562 | + | 0.229677i | ||||
\(637\) | −4.72163 | + | 23.7373i | −0.187078 | + | 0.940505i | ||||
\(638\) | −22.3099 | − | 44.9454i | −0.883258 | − | 1.77940i | ||||
\(639\) | −1.62556 | −0.0643063 | ||||||||
\(640\) | 22.5998 | − | 11.3688i | 0.893335 | − | 0.449392i | ||||
\(641\) | 27.0247 | 1.06741 | 0.533705 | − | 0.845670i | \(-0.320799\pi\) | ||||
0.533705 | + | 0.845670i | \(0.320799\pi\) | |||||||
\(642\) | −12.2339 | − | 24.6462i | −0.482832 | − | 0.972709i | ||||
\(643\) | 9.58999 | − | 48.2121i | 0.378192 | − | 1.90130i | −0.0521572 | − | 0.998639i | \(-0.516610\pi\) |
0.430349 | − | 0.902662i | \(-0.358390\pi\) | |||||||
\(644\) | 30.7122 | + | 23.3138i | 1.21023 | + | 0.918693i | ||||
\(645\) | −5.06178 | − | 12.5833i | −0.199307 | − | 0.495467i | ||||
\(646\) | −6.00601 | + | 1.62604i | −0.236303 | + | 0.0639755i | ||||
\(647\) | −14.7307 | − | 35.5630i | −0.579122 | − | 1.39812i | −0.893602 | − | 0.448860i | \(-0.851830\pi\) |
0.314480 | − | 0.949264i | \(-0.398170\pi\) | |||||||
\(648\) | −16.5145 | − | 24.3036i | −0.648751 | − | 0.954736i | ||||
\(649\) | 34.2953 | + | 14.2056i | 1.34621 | + | 0.557617i | ||||
\(650\) | 21.0826 | − | 5.24665i | 0.826928 | − | 0.205791i | ||||
\(651\) | 8.72311 | + | 43.8541i | 0.341886 | + | 1.71878i | ||||
\(652\) | −5.84476 | + | 5.17968i | −0.228899 | + | 0.202852i | ||||
\(653\) | −14.5379 | + | 9.71392i | −0.568913 | + | 0.380135i | −0.806503 | − | 0.591230i | \(-0.798642\pi\) |
0.237590 | + | 0.971365i | \(0.423642\pi\) | |||||||
\(654\) | −12.1972 | + | 13.9814i | −0.476950 | + | 0.546715i | ||||
\(655\) | 3.53949 | + | 18.7987i | 0.138299 | + | 0.734526i | ||||
\(656\) | −0.284980 | − | 0.0345103i | −0.0111266 | − | 0.00134740i | ||||
\(657\) | −0.880723 | + | 0.880723i | −0.0343603 | + | 0.0343603i | ||||
\(658\) | −4.73973 | − | 69.5462i | −0.184774 | − | 2.71119i | ||||
\(659\) | 16.4539 | − | 10.9942i | 0.640955 | − | 0.428272i | −0.192167 | − | 0.981362i | \(-0.561551\pi\) |
0.833121 | + | 0.553090i | \(0.186551\pi\) | |||||||
\(660\) | −31.5741 | − | 8.63139i | −1.22902 | − | 0.335977i | ||||
\(661\) | 24.6341 | − | 4.90004i | 0.958157 | − | 0.190589i | 0.308846 | − | 0.951112i | \(-0.400057\pi\) |
0.649311 | + | 0.760523i | \(0.275057\pi\) | |||||||
\(662\) | −1.43389 | + | 1.10620i | −0.0557299 | + | 0.0429935i | ||||
\(663\) | 3.18880 | + | 1.32084i | 0.123843 | + | 0.0512973i | ||||
\(664\) | −14.8636 | − | 35.1076i | −0.576818 | − | 1.36244i | ||||
\(665\) | 13.0956 | − | 62.4838i | 0.507827 | − | 2.42302i | ||||
\(666\) | 3.99603 | + | 2.29329i | 0.154843 | + | 0.0888631i | ||||
\(667\) | −25.4421 | + | 38.0768i | −0.985123 | + | 1.47434i | ||||
\(668\) | −2.21509 | + | 8.44200i | −0.0857045 | + | 0.326631i | ||||
\(669\) | 4.59769 | − | 23.1142i | 0.177757 | − | 0.893645i | ||||
\(670\) | 2.11864 | + | 2.80523i | 0.0818504 | + | 0.108376i | ||||
\(671\) | 24.9629i | 0.963683i | ||||||||
\(672\) | −24.6765 | + | 33.0386i | −0.951915 | + | 1.27449i | ||||
\(673\) | −2.41217 | −0.0929823 | −0.0464911 | − | 0.998919i | \(-0.514804\pi\) | ||||
−0.0464911 | + | 0.998919i | \(0.514804\pi\) | |||||||
\(674\) | 0.880128 | + | 0.296216i | 0.0339013 | + | 0.0114098i | ||||
\(675\) | 4.01430 | + | 22.5909i | 0.154511 | + | 0.869524i | ||||
\(676\) | −3.59191 | − | 6.14740i | −0.138150 | − | 0.236439i | ||||
\(677\) | 5.09054 | − | 7.61853i | 0.195645 | − | 0.292804i | −0.720657 | − | 0.693292i | \(-0.756159\pi\) |
0.916302 | + | 0.400488i | \(0.131159\pi\) | |||||||
\(678\) | −8.89176 | − | 5.10291i | −0.341486 | − | 0.195976i | ||||
\(679\) | −17.4127 | − | 42.0380i | −0.668239 | − | 1.61327i | ||||
\(680\) | −3.12059 | − | 2.09620i | −0.119669 | − | 0.0803856i | ||||
\(681\) | −1.77075 | + | 4.27497i | −0.0678553 | + | 0.163817i | ||||
\(682\) | 20.5196 | + | 26.5983i | 0.785735 | + | 1.01850i | ||||
\(683\) | −5.96787 | − | 30.0025i | −0.228354 | − | 1.14801i | −0.909448 | − | 0.415818i | \(-0.863495\pi\) |
0.681094 | − | 0.732196i | \(-0.261505\pi\) | |||||||
\(684\) | −3.70529 | + | 7.61302i | −0.141675 | + | 0.291091i | ||||
\(685\) | −7.85468 | − | 0.0804723i | −0.300112 | − | 0.00307469i | ||||
\(686\) | 0.325329 | + | 4.77355i | 0.0124211 | + | 0.182255i | ||||
\(687\) | −21.0102 | + | 21.0102i | −0.801587 | + | 0.801587i | ||||
\(688\) | −11.4542 | + | 5.79728i | −0.436686 | + | 0.221019i | ||||
\(689\) | 5.50612 | − | 5.50612i | 0.209767 | − | 0.209767i | ||||
\(690\) | 7.51088 | + | 28.9137i | 0.285934 | + | 1.10072i | ||||
\(691\) | −10.6887 | − | 15.9967i | −0.406615 | − | 0.608543i | 0.570488 | − | 0.821306i | \(-0.306754\pi\) |
−0.977104 | + | 0.212763i | \(0.931754\pi\) | |||||||
\(692\) | 14.2141 | + | 0.857513i | 0.540339 | + | 0.0325978i | ||||
\(693\) | 8.37881 | − | 1.66665i | 0.318285 | − | 0.0633108i | ||||
\(694\) | 41.4481 | + | 5.34726i | 1.57335 | + | 0.202979i | ||||
\(695\) | 5.02597 | − | 3.28427i | 0.190646 | − | 0.124580i | ||||
\(696\) | −40.9323 | − | 26.8912i | −1.55154 | − | 1.01931i | ||||
\(697\) | 0.0163241 | + | 0.0394098i | 0.000618318 | + | 0.00149275i | ||||
\(698\) | −0.858438 | + | 0.232409i | −0.0324923 | + | 0.00879681i | ||||
\(699\) | −6.79751 | + | 10.1732i | −0.257105 | + | 0.384785i | ||||
\(700\) | 33.6944 | − | 18.7723i | 1.27353 | − | 0.709527i | ||||
\(701\) | 26.5589 | + | 5.28288i | 1.00311 | + | 0.199532i | 0.669208 | − | 0.743075i | \(-0.266633\pi\) |
0.333906 | + | 0.942607i | \(0.391633\pi\) | |||||||
\(702\) | −17.8603 | + | 8.86548i | −0.674095 | + | 0.334606i | ||||
\(703\) | 42.1655i | 1.59030i | ||||||||
\(704\) | −5.56999 | + | 30.4769i | −0.209927 | + | 1.14864i | ||||
\(705\) | 30.4625 | − | 44.5945i | 1.14728 | − | 1.67952i | ||||
\(706\) | 12.9518 | + | 26.0926i | 0.487448 | + | 0.982009i | ||||
\(707\) | −0.420299 | + | 2.11299i | −0.0158070 | + | 0.0794671i | ||||
\(708\) | 35.8963 | − | 4.91567i | 1.34907 | − | 0.184742i | ||||
\(709\) | −18.8685 | + | 28.2387i | −0.708621 | + | 1.06053i | 0.286129 | + | 0.958191i | \(0.407631\pi\) |
−0.994750 | + | 0.102335i | \(0.967369\pi\) | |||||||
\(710\) | 2.95415 | − | 8.48881i | 0.110867 | − | 0.318579i | ||||
\(711\) | 4.81269 | − | 1.99348i | 0.180490 | − | 0.0747615i | ||||
\(712\) | 0.338387 | + | 1.63452i | 0.0126816 | + | 0.0612562i | ||||
\(713\) | 11.7327 | − | 28.3252i | 0.439393 | − | 1.06079i | ||||
\(714\) | 6.07735 | + | 0.784046i | 0.227439 | + | 0.0293422i | ||||
\(715\) | −10.4332 | + | 24.4756i | −0.390178 | + | 0.915335i | ||||
\(716\) | 17.8721 | + | 1.07820i | 0.667913 | + | 0.0402941i | ||||
\(717\) | 0.684058 | − | 0.457073i | 0.0255466 | − | 0.0170697i | ||||
\(718\) | 8.83856 | − | 10.1314i | 0.329852 | − | 0.378101i | ||||
\(719\) | −16.8343 | + | 16.8343i | −0.627814 | + | 0.627814i | −0.947518 | − | 0.319704i | \(-0.896417\pi\) |
0.319704 | + | 0.947518i | \(0.396417\pi\) | |||||||
\(720\) | −4.94089 | + | 1.32467i | −0.184136 | + | 0.0493676i | ||||
\(721\) | −34.9949 | − | 34.9949i | −1.30328 | − | 1.30328i | ||||
\(722\) | −50.5000 | + | 3.44169i | −1.87942 | + | 0.128087i | ||||
\(723\) | 31.9763 | + | 47.8558i | 1.18921 | + | 1.77978i | ||||
\(724\) | 4.98095 | + | 2.42425i | 0.185116 | + | 0.0900965i | ||||
\(725\) | 24.6645 | + | 38.6023i | 0.916016 | + | 1.43365i | ||||
\(726\) | 8.46048 | − | 6.52694i | 0.313998 | − | 0.242237i | ||||
\(727\) | −9.11976 | − | 3.77753i | −0.338233 | − | 0.140101i | 0.207101 | − | 0.978320i | \(-0.433597\pi\) |
−0.545334 | + | 0.838219i | \(0.683597\pi\) | |||||||
\(728\) | 23.8855 | + | 23.5162i | 0.885257 | + | 0.871568i | ||||
\(729\) | −7.68324 | − | 18.5490i | −0.284564 | − | 0.686999i | ||||
\(730\) | −2.99865 | − | 6.19974i | −0.110985 | − | 0.229463i | ||||
\(731\) | 1.58616 | + | 1.05984i | 0.0586662 | + | 0.0391995i | ||||
\(732\) | 12.2918 | + | 21.0369i | 0.454318 | + | 0.777545i | ||||
\(733\) | −10.6275 | − | 2.11394i | −0.392536 | − | 0.0780803i | −0.00512384 | − | 0.999987i | \(-0.501631\pi\) |
−0.387412 | + | 0.921907i | \(0.626631\pi\) | |||||||
\(734\) | −18.2520 | − | 6.14289i | −0.673693 | − | 0.226738i | ||||
\(735\) | −18.7771 | + | 27.4881i | −0.692605 | + | 1.01391i | ||||
\(736\) | 26.6545 | − | 9.43573i | 0.982497 | − | 0.347806i | ||||
\(737\) | −4.30516 | −0.158582 | ||||||||
\(738\) | 0.0550127 | + | 0.0185151i | 0.00202505 | + | 0.000681550i | ||||
\(739\) | −7.83753 | + | 39.4019i | −0.288308 | + | 1.44942i | 0.516704 | + | 0.856164i | \(0.327159\pi\) |
−0.805012 | + | 0.593258i | \(0.797841\pi\) | |||||||
\(740\) | −19.2377 | + | 16.6999i | −0.707193 | + | 0.613901i | ||||
\(741\) | 35.7390 | + | 23.8800i | 1.31290 | + | 0.877255i | ||||
\(742\) | 6.88111 | − | 11.9902i | 0.252614 | − | 0.440176i | ||||
\(743\) | 0.518483 | − | 0.214763i | 0.0190213 | − | 0.00787888i | −0.373153 | − | 0.927770i | \(-0.621723\pi\) |
0.392174 | + | 0.919891i | \(0.371723\pi\) | |||||||
\(744\) | 30.3894 | + | 12.3112i | 1.11413 | + | 0.451350i | ||||
\(745\) | 24.3915 | + | 37.3267i | 0.893635 | + | 1.36754i | ||||
\(746\) | 22.9331 | + | 29.7268i | 0.839639 | + | 1.08837i | ||||
\(747\) | 1.50393 | + | 7.56076i | 0.0550258 | + | 0.276634i | ||||
\(748\) | 4.35175 | − | 1.50248i | 0.159116 | − | 0.0549359i | ||||
\(749\) | −33.0155 | + | 22.0603i | −1.20636 | + | 0.806065i | ||||
\(750\) | 29.5056 | + | 4.73245i | 1.07739 | + | 0.172805i | ||||
\(751\) | −16.3562 | − | 16.3562i | −0.596845 | − | 0.596845i | 0.342626 | − | 0.939472i | \(-0.388683\pi\) |
−0.939472 | + | 0.342626i | \(0.888683\pi\) | |||||||
\(752\) | −44.5317 | − | 25.0972i | −1.62390 | − | 0.915200i | ||||
\(753\) | 0.423543 | + | 0.423543i | 0.0154348 | + | 0.0154348i | ||||
\(754\) | −26.1703 | + | 29.9983i | −0.953066 | + | 1.09247i | ||||
\(755\) | −16.7271 | − | 0.171372i | −0.608762 | − | 0.00623685i | ||||
\(756\) | −26.4936 | + | 23.4788i | −0.963562 | + | 0.853916i | ||||
\(757\) | −46.8908 | + | 9.32716i | −1.70427 | + | 0.339001i | −0.948728 | − | 0.316094i | \(-0.897629\pi\) |
−0.755546 | + | 0.655095i | \(0.772629\pi\) | |||||||
\(758\) | −17.8632 | − | 2.30455i | −0.648821 | − | 0.0837052i | ||||
\(759\) | −33.7998 | − | 14.0003i | −1.22685 | − | 0.508179i | ||||
\(760\) | −33.0221 | − | 33.1845i | −1.19784 | − | 1.20373i | ||||
\(761\) | 12.5763 | − | 5.20929i | 0.455892 | − | 0.188837i | −0.142907 | − | 0.989736i | \(-0.545645\pi\) |
0.598799 | + | 0.800900i | \(0.295645\pi\) | |||||||
\(762\) | 2.77917 | + | 10.2653i | 0.100679 | + | 0.371872i | ||||
\(763\) | 22.2627 | + | 14.8755i | 0.805965 | + | 0.538529i | ||||
\(764\) | 9.64409 | − | 12.7045i | 0.348911 | − | 0.459633i | ||||
\(765\) | 0.531963 | + | 0.542976i | 0.0192332 | + | 0.0196314i | ||||
\(766\) | −3.11050 | + | 1.54399i | −0.112387 | + | 0.0557865i | ||||
\(767\) | − | 29.4504i | − | 1.06339i | ||||||
\(768\) | 10.3129 | + | 28.4263i | 0.372135 | + | 1.02575i | ||||
\(769\) | −14.3036 | −0.515802 | −0.257901 | − | 0.966171i | \(-0.583031\pi\) | ||||
−0.257901 | + | 0.966171i | \(0.583031\pi\) | |||||||
\(770\) | −6.52353 | + | 46.7836i | −0.235092 | + | 1.68596i | ||||
\(771\) | −28.5628 | − | 5.68150i | −1.02867 | − | 0.204614i | ||||
\(772\) | 3.99213 | + | 3.03045i | 0.143680 | + | 0.109068i | ||||
\(773\) | 13.3379 | + | 8.91213i | 0.479732 | + | 0.320547i | 0.771816 | − | 0.635846i | \(-0.219349\pi\) |
−0.292084 | + | 0.956393i | \(0.594349\pi\) | |||||||
\(774\) | 2.50562 | − | 0.678359i | 0.0900628 | − | 0.0243831i | ||||
\(775\) | −21.2372 | − | 22.1258i | −0.762862 | − | 0.794782i | ||||
\(776\) | −32.7752 | − | 6.25432i | −1.17656 | − | 0.224517i | ||||
\(777\) | 15.8910 | − | 38.3642i | 0.570085 | − | 1.37631i | ||||
\(778\) | 40.6754 | + | 5.24758i | 1.45828 | + | 0.188135i | ||||
\(779\) | 0.103635 | + | 0.521011i | 0.00371313 | + | 0.0186671i | ||||
\(780\) | 3.25955 | + | 25.7635i | 0.116711 | + | 0.922482i | ||||
\(781\) | 6.11539 | + | 9.15233i | 0.218826 | + | 0.327496i | ||||
\(782\) | −3.16616 | − | 2.76213i | −0.113222 | − | 0.0987737i | ||||
\(783\) | −29.7291 | − | 29.7291i | −1.06243 | − | 1.06243i | ||||
\(784\) | 27.4494 | + | 15.4700i | 0.980337 | + | 0.552499i | ||||
\(785\) | 7.24184 | + | 38.4624i | 0.258472 | + | 1.37278i | ||||
\(786\) | −22.8122 | + | 1.55470i | −0.813684 | + | 0.0554545i | ||||
\(787\) | 3.97881 | + | 5.95470i | 0.141829 | + | 0.212262i | 0.895583 | − | 0.444895i | \(-0.146759\pi\) |
−0.753754 | + | 0.657157i | \(0.771759\pi\) | |||||||
\(788\) | 1.91769 | − | 0.662096i | 0.0683147 | − | 0.0235862i | ||||
\(789\) | −5.71329 | + | 1.13644i | −0.203399 | + | 0.0404585i | ||||
\(790\) | 1.66396 | + | 28.7550i | 0.0592010 | + | 1.02306i | ||||
\(791\) | −5.66163 | + | 13.6684i | −0.201304 | + | 0.485992i | ||||
\(792\) | 2.35219 | − | 5.80624i | 0.0835815 | − | 0.206316i | ||||
\(793\) | 18.2971 | − | 7.57892i | 0.649750 | − | 0.269135i | ||||
\(794\) | −41.8866 | − | 24.0384i | −1.48650 | − | 0.853091i | ||||
\(795\) | 9.93666 | − | 3.99714i | 0.352417 | − | 0.141764i | ||||
\(796\) | −1.95317 | + | 7.44380i | −0.0692284 | + | 0.263838i | ||||
\(797\) | 14.3679 | + | 2.85796i | 0.508938 | + | 0.101234i | 0.442878 | − | 0.896582i | \(-0.353957\pi\) |
0.0660594 | + | 0.997816i | \(0.478957\pi\) | |||||||
\(798\) | 72.3240 | + | 24.3414i | 2.56024 | + | 0.861675i | ||||
\(799\) | 7.59588i | 0.268723i | ||||||||
\(800\) | 2.06160 | − | 28.2090i | 0.0728885 | − | 0.997340i | ||||
\(801\) | − | 0.337514i | − | 0.0119255i | ||||||
\(802\) | 14.8148 | − | 44.0183i | 0.523129 | − | 1.55434i | ||||
\(803\) | 8.27199 | + | 1.64540i | 0.291912 | + | 0.0580649i | ||||
\(804\) | −3.62806 | + | 2.11987i | −0.127952 | + | 0.0747620i | ||||
\(805\) | 39.9953 | − | 16.0886i | 1.40965 | − | 0.567047i | ||||
\(806\) | 13.2660 | − | 23.1157i | 0.467273 | − | 0.814217i | ||||
\(807\) | 34.8742 | − | 14.4454i | 1.22763 | − | 0.508501i | ||||
\(808\) | 1.12577 | + | 1.10836i | 0.0396045 | + | 0.0389921i | ||||
\(809\) | −12.3105 | + | 29.7201i | −0.432813 | + | 1.04490i | 0.545564 | + | 0.838069i | \(0.316316\pi\) |
−0.978376 | + | 0.206833i | \(0.933684\pi\) | |||||||
\(810\) | −32.7970 | + | 1.89786i | −1.15237 | + | 0.0666838i | ||||
\(811\) | 29.4320 | − | 5.85439i | 1.03350 | − | 0.205575i | 0.350933 | − | 0.936401i | \(-0.385865\pi\) |
0.682565 | + | 0.730825i | \(0.260865\pi\) | |||||||
\(812\) | −30.9295 | + | 63.5489i | −1.08541 | + | 2.23013i | ||||
\(813\) | −18.9580 | − | 28.3727i | −0.664887 | − | 0.995073i | ||||
\(814\) | −2.12131 | − | 31.1260i | −0.0743519 | − | 1.09097i | ||||
\(815\) | 1.61560 | + | 8.58066i | 0.0565919 | + | 0.300567i | ||||
\(816\) | 2.92751 | − | 3.40898i | 0.102483 | − | 0.119338i | ||||
\(817\) | 16.7985 | + | 16.7985i | 0.587704 | + | 0.587704i | ||||
\(818\) | 10.5867 | − | 12.1353i | 0.370156 | − | 0.424300i | ||||
\(819\) | −3.76548 | − | 5.63543i | −0.131576 | − | 0.196918i | ||||
\(820\) | −0.196662 | + | 0.253633i | −0.00686774 | + | 0.00885723i | ||||
\(821\) | 8.13996 | + | 40.9224i | 0.284087 | + | 1.42820i | 0.814354 | + | 0.580369i | \(0.197092\pi\) |
−0.530267 | + | 0.847831i | \(0.677908\pi\) | |||||||
\(822\) | 1.20136 | − | 9.31210i | 0.0419024 | − | 0.324797i | ||||
\(823\) | 5.58539 | − | 13.4843i | 0.194695 | − | 0.470034i | −0.796140 | − | 0.605112i | \(-0.793128\pi\) |
0.990835 | + | 0.135078i | \(0.0431284\pi\) | |||||||
\(824\) | −35.5379 | + | 7.35725i | −1.23802 | + | 0.256302i | ||||
\(825\) | −26.4022 | + | 25.3418i | −0.919205 | + | 0.882288i | ||||
\(826\) | −13.6635 | − | 50.4683i | −0.475415 | − | 1.75602i | ||||
\(827\) | 9.20150 | + | 6.14825i | 0.319968 | + | 0.213796i | 0.705173 | − | 0.709035i | \(-0.250869\pi\) |
−0.385205 | + | 0.922831i | \(0.625869\pi\) | |||||||
\(828\) | −5.66450 | + | 0.775701i | −0.196855 | + | 0.0269575i | ||||
\(829\) | 23.7466 | + | 4.72350i | 0.824754 | + | 0.164054i | 0.589385 | − | 0.807852i | \(-0.299370\pi\) |
0.235369 | + | 0.971906i | \(0.424370\pi\) | |||||||
\(830\) | −42.2159 | − | 5.88661i | −1.46534 | − | 0.204327i | ||||
\(831\) | −22.8723 | −0.793432 | ||||||||
\(832\) | 24.0298 | − | 5.17035i | 0.833084 | − | 0.179250i | ||||
\(833\) | − | 4.68212i | − | 0.162226i | ||||||
\(834\) | 3.19080 | + | 6.42817i | 0.110489 | + | 0.222589i | ||||
\(835\) | 6.82886 | + | 6.97023i | 0.236322 | + | 0.241215i | ||||
\(836\) | 56.8026 | − | 7.77859i | 1.96456 | − | 0.269028i | ||||
\(837\) | 23.4038 | + | 15.6379i | 0.808953 | + | 0.540525i | ||||
\(838\) | −51.9182 | + | 14.0561i | −1.79349 | + | 0.485559i | ||||
\(839\) | 49.2843 | − | 20.4142i | 1.70148 | − | 0.704778i | 0.701515 | − | 0.712654i | \(-0.252507\pi\) |
0.999969 | + | 0.00787643i | \(0.00250717\pi\) | |||||||
\(840\) | 17.5388 | + | 42.6379i | 0.605145 | + | 1.47115i | ||||
\(841\) | −50.7571 | − | 21.0243i | −1.75024 | − | 0.724975i | ||||
\(842\) | −6.11526 | + | 47.4010i | −0.210746 | + | 1.63355i | ||||
\(843\) | −21.1496 | + | 4.20693i | −0.728433 | + | 0.144894i | ||||
\(844\) | 2.86637 | − | 47.5127i | 0.0986644 | − | 1.63546i | ||||
\(845\) | −7.95982 | − | 0.0815495i | −0.273826 | − | 0.00280539i | ||||
\(846\) | 7.78871 | + | 6.79481i | 0.267781 | + | 0.233610i | ||||
\(847\) | −10.9037 | − | 10.9037i | −0.374657 | − | 0.374657i | ||||
\(848\) | −4.57794 | − | 9.04503i | −0.157207 | − | 0.310607i | ||||
\(849\) | 4.41776 | + | 4.41776i | 0.151617 | + | 0.151617i | ||||
\(850\) | −3.80220 | + | 1.79120i | −0.130414 | + | 0.0614375i | ||||
\(851\) | −23.6744 | + | 15.8187i | −0.811547 | + | 0.542259i | ||||
\(852\) | 9.66022 | + | 4.70167i | 0.330954 | + | 0.161077i | ||||
\(853\) | −8.15137 | − | 40.9797i | −0.279098 | − | 1.40312i | −0.824935 | − | 0.565228i | \(-0.808788\pi\) |
0.545837 | − | 0.837891i | \(-0.316212\pi\) | |||||||
\(854\) | 27.8390 | − | 21.4767i | 0.952631 | − | 0.734919i | ||||
\(855\) | 5.17823 | + | 7.92433i | 0.177092 | + | 0.271006i | ||||
\(856\) | 0.226875 | + | 29.1168i | 0.00775444 | + | 0.995192i | ||||
\(857\) | 8.37905 | − | 3.47072i | 0.286223 | − | 0.118557i | −0.234953 | − | 0.972007i | \(-0.575494\pi\) |
0.521176 | + | 0.853449i | \(0.325494\pi\) | |||||||
\(858\) | −27.5834 | − | 15.8299i | −0.941683 | − | 0.540425i | ||||
\(859\) | −11.4669 | − | 7.66196i | −0.391247 | − | 0.261423i | 0.344352 | − | 0.938841i | \(-0.388099\pi\) |
−0.735598 | + | 0.677418i | \(0.763099\pi\) | |||||||
\(860\) | −1.01105 | + | 14.3173i | −0.0344765 | + | 0.488217i | ||||
\(861\) | 0.102061 | − | 0.513097i | 0.00347824 | − | 0.0174863i | ||||
\(862\) | 12.8811 | − | 38.2728i | 0.438733 | − | 1.30358i | ||||
\(863\) | 53.0195 | 1.80480 | 0.902402 | − | 0.430895i | \(-0.141802\pi\) | ||||
0.902402 | + | 0.430895i | \(0.141802\pi\) | |||||||
\(864\) | 3.72227 | + | 25.6908i | 0.126634 | + | 0.874019i | ||||
\(865\) | 8.98023 | − | 13.1463i | 0.305337 | − | 0.446987i | ||||
\(866\) | 12.7877 | − | 37.9953i | 0.434544 | − | 1.29113i | ||||
\(867\) | 30.8569 | + | 6.13783i | 1.04796 | + | 0.208451i | ||||
\(868\) | 12.0089 | − | 45.7675i | 0.407609 | − | 1.55345i | ||||
\(869\) | −29.3292 | − | 19.5972i | −0.994926 | − | 0.664789i | ||||
\(870\) | −49.2931 | + | 23.8418i | −1.67119 | + | 0.808311i | ||||
\(871\) | 1.30708 | + | 3.15556i | 0.0442886 | + | 0.106922i | ||||
\(872\) | 18.0807 | − | 7.65487i | 0.612290 | − | 0.259226i | ||||
\(873\) | 6.23327 | + | 2.58191i | 0.210964 | + | 0.0873843i | ||||
\(874\) | −31.9608 | − | 41.4289i | −1.08109 | − | 1.40135i | ||||
\(875\) | 1.32517 | − | 43.1032i | 0.0447988 | − | 1.45715i | ||||
\(876\) | 7.78121 | − | 2.68652i | 0.262903 | − | 0.0907692i | ||||
\(877\) | −7.00683 | − | 10.4865i | −0.236604 | − | 0.354103i | 0.694099 | − | 0.719880i | \(-0.255803\pi\) |
−0.930702 | + | 0.365777i | \(0.880803\pi\) | |||||||
\(878\) | −2.70275 | − | 39.6575i | −0.0912134 | − | 1.33838i | ||||
\(879\) | 37.8925 | + | 37.8925i | 1.27808 | + | 1.27808i | ||||
\(880\) | 26.0460 | + | 22.8350i | 0.878009 | + | 0.769769i | ||||
\(881\) | 6.06110 | − | 6.06110i | 0.204204 | − | 0.204204i | −0.597595 | − | 0.801798i | \(-0.703877\pi\) |
0.801798 | + | 0.597595i | \(0.203877\pi\) | |||||||
\(882\) | −4.80098 | − | 4.18833i | −0.161657 | − | 0.141029i | ||||
\(883\) | −17.9101 | + | 11.9671i | −0.602723 | + | 0.402727i | −0.819156 | − | 0.573571i | \(-0.805558\pi\) |
0.216433 | + | 0.976297i | \(0.430558\pi\) | |||||||
\(884\) | −2.42250 | − | 2.73355i | −0.0814774 | − | 0.0919393i | ||||
\(885\) | 15.8843 | − | 37.2636i | 0.533944 | − | 1.25260i | ||||
\(886\) | −6.65816 | + | 51.6092i | −0.223685 | + | 1.73384i | ||||
\(887\) | 1.42542 | − | 3.44127i | 0.0478609 | − | 0.115546i | −0.898141 | − | 0.439708i | \(-0.855082\pi\) |
0.946002 | + | 0.324161i | \(0.105082\pi\) | |||||||
\(888\) | −17.1142 | − | 25.1861i | −0.574315 | − | 0.845192i | ||||
\(889\) | 14.1788 | − | 5.87306i | 0.475542 | − | 0.196976i | ||||
\(890\) | 1.76252 | + | 0.613367i | 0.0590799 | + | 0.0205601i | ||||
\(891\) | 22.3519 | − | 33.4519i | 0.748816 | − | 1.12068i | ||||
\(892\) | −15.0791 | + | 19.8642i | −0.504885 | + | 0.665104i | ||||
\(893\) | −18.4543 | + | 92.7761i | −0.617550 | + | 3.10463i | ||||
\(894\) | −47.7404 | + | 23.6973i | −1.59668 | + | 0.792557i | ||||
\(895\) | 11.2913 | − | 16.5295i | 0.377428 | − | 0.552522i | ||||
\(896\) | 38.7804 | − | 20.0089i | 1.29556 | − | 0.668451i | ||||
\(897\) | 29.0249i | 0.969113i | ||||||||
\(898\) | 0.733833 | + | 1.47837i | 0.0244883 | + | 0.0493340i | ||||
\(899\) | 55.1165 | + | 10.9633i | 1.83824 | + | 0.365648i | ||||
\(900\) | −1.56455 | + | 5.50102i | −0.0521517 | + | 0.183367i | ||||
\(901\) | −0.836923 | + | 1.25254i | −0.0278820 | + | 0.0417283i | ||||
\(902\) | −0.102714 | − | 0.379389i | −0.00342000 | − | 0.0126323i | ||||
\(903\) | −8.95318 | − | 21.6149i | −0.297943 | − | 0.719299i | ||||
\(904\) | 6.09745 | + | 8.97332i | 0.202798 | + | 0.298448i | ||||
\(905\) | 5.18463 | − | 3.38795i | 0.172343 | − | 0.112619i | ||||
\(906\) | 2.55839 | − | 19.8308i | 0.0849970 | − | 0.658834i | ||||
\(907\) | −32.0989 | + | 6.38487i | −1.06583 | + | 0.212006i | −0.696692 | − | 0.717370i | \(-0.745346\pi\) |
−0.369134 | + | 0.929376i | \(0.620346\pi\) | |||||||
\(908\) | 3.66466 | − | 3.24765i | 0.121616 | − | 0.107777i | ||||
\(909\) | −0.177474 | − | 0.265609i | −0.00588645 | − | 0.00880970i | ||||
\(910\) | 36.2717 | − | 9.42226i | 1.20239 | − | 0.312345i | ||||
\(911\) | −12.4716 | + | 12.4716i | −0.413202 | + | 0.413202i | −0.882852 | − | 0.469650i | \(-0.844380\pi\) |
0.469650 | + | 0.882852i | \(0.344380\pi\) | |||||||
\(912\) | 44.0388 | − | 34.5249i | 1.45827 | − | 1.14323i | ||||
\(913\) | 36.9112 | − | 36.9112i | 1.22158 | − | 1.22158i | ||||
\(914\) | 19.0888 | − | 1.30095i | 0.631401 | − | 0.0430315i | ||||
\(915\) | 27.2391 | + | 0.279069i | 0.900498 | + | 0.00922572i | ||||
\(916\) | 29.7214 | − | 10.2615i | 0.982022 | − | 0.339051i | ||||
\(917\) | 6.43729 | + | 32.3625i | 0.212578 | + | 1.06870i | ||||
\(918\) | 3.05423 | − | 2.35622i | 0.100805 | − | 0.0777668i | ||||
\(919\) | 21.9083 | − | 52.8912i | 0.722687 | − | 1.74472i | 0.0571371 | − | 0.998366i | \(-0.481803\pi\) |
0.665550 | − | 0.746354i | \(-0.268197\pi\) | |||||||
\(920\) | 6.24338 | − | 30.9901i | 0.205838 | − | 1.02171i | ||||
\(921\) | −2.21707 | − | 5.35247i | −0.0730548 | − | 0.176370i | ||||
\(922\) | −21.3716 | + | 37.2398i | −0.703837 | + | 1.22643i | ||||
\(923\) | 4.85173 | − | 7.26113i | 0.159697 | − | 0.239003i | ||||
\(924\) | −54.6132 | − | 14.3299i | −1.79664 | − | 0.471420i | ||||
\(925\) | 4.98306 | + | 28.0427i | 0.163842 | + | 0.922037i | ||||
\(926\) | 9.10750 | − | 27.0605i | 0.299291 | − | 0.889265i | ||||
\(927\) | 7.33827 | 0.241020 | ||||||||
\(928\) | 26.4942 | + | 44.5433i | 0.869716 | + | 1.46221i | ||||
\(929\) | 14.1078i | 0.462863i | 0.972851 | + | 0.231432i | \(0.0743409\pi\) | ||||
−0.972851 | + | 0.231432i | \(0.925659\pi\) | |||||||
\(930\) | 29.2530 | − | 22.0933i | 0.959245 | − | 0.724467i | ||||
\(931\) | 11.3753 | − | 57.1874i | 0.372810 | − | 1.87424i | ||||
\(932\) | 11.1792 | − | 6.53197i | 0.366187 | − | 0.213962i | ||||
\(933\) | −20.8508 | + | 31.2055i | −0.682625 | + | 1.02162i | ||||
\(934\) | −13.2294 | + | 23.0521i | −0.432880 | + | 0.754288i | ||||
\(935\) | 1.05584 | − | 5.03777i | 0.0345297 | − | 0.164753i | ||||
\(936\) | −4.96996 | + | 0.0387254i | −0.162448 | + | 0.00126578i | ||||
\(937\) | 1.34023 | + | 0.555141i | 0.0437834 | + | 0.0181357i | 0.404468 | − | 0.914552i | \(-0.367457\pi\) |
−0.360684 | + | 0.932688i | \(0.617457\pi\) | |||||||
\(938\) | 3.70392 | + | 4.80118i | 0.120937 | + | 0.156764i | ||||
\(939\) | −2.18271 | + | 0.434167i | −0.0712299 | + | 0.0141685i | ||||
\(940\) | −49.6374 | + | 28.3249i | −1.61899 | + | 0.923857i | ||||
\(941\) | −14.6231 | + | 9.77083i | −0.476699 | + | 0.318520i | −0.770604 | − | 0.637315i | \(-0.780045\pi\) |
0.293905 | + | 0.955835i | \(0.405045\pi\) | |||||||
\(942\) | −46.6741 | + | 3.18095i | −1.52072 | + | 0.103641i | ||||
\(943\) | −0.253649 | + | 0.253649i | −0.00825994 | + | 0.00825994i | ||||
\(944\) | −36.4323 | − | 11.9465i | −1.18577 | − | 0.388825i | ||||
\(945\) | 7.32330 | + | 38.8950i | 0.238227 | + | 1.26526i | ||||
\(946\) | −13.2455 | − | 11.5553i | −0.430649 | − | 0.375695i | ||||
\(947\) | 40.3870 | − | 26.9857i | 1.31240 | − | 0.876918i | 0.315009 | − | 0.949089i | \(-0.397993\pi\) |
0.997392 | + | 0.0721705i | \(0.0229926\pi\) | |||||||
\(948\) | −34.3662 | − | 2.07326i | −1.11616 | − | 0.0673362i | ||||
\(949\) | −1.30540 | − | 6.56270i | −0.0423751 | − | 0.213034i | ||||
\(950\) | −50.7919 | + | 12.6402i | −1.64791 | + | 0.410101i | ||||
\(951\) | −15.4882 | − | 6.41543i | −0.502240 | − | 0.208034i | ||||
\(952\) | −5.41959 | − | 3.56049i | −0.175650 | − | 0.115396i | ||||
\(953\) | −0.763156 | − | 1.84242i | −0.0247210 | − | 0.0596819i | 0.911037 | − | 0.412325i | \(-0.135283\pi\) |
−0.935758 | + | 0.352643i | \(0.885283\pi\) | |||||||
\(954\) | 0.535681 | + | 1.97862i | 0.0173433 | + | 0.0640601i | ||||
\(955\) | −6.65526 | − | 16.5446i | −0.215359 | − | 0.535371i | ||||
\(956\) | −0.862565 | + | 0.118120i | −0.0278973 | + | 0.00382028i | ||||
\(957\) | 13.0823 | − | 65.7691i | 0.422890 | − | 2.12601i | ||||
\(958\) | −17.6147 | + | 8.74354i | −0.569104 | + | 0.282491i | ||||
\(959\) | −13.5496 | −0.437539 | ||||||||
\(960\) | 33.1936 | + | 6.41859i | 1.07132 | + | 0.207159i | ||||
\(961\) | −6.62275 | −0.213637 | ||||||||
\(962\) | −22.1705 | + | 11.0049i | −0.714805 | + | 0.354814i | ||||
\(963\) | 1.14863 | − | 5.77457i | 0.0370142 | − | 0.186083i | ||||
\(964\) | −8.26354 | − | 60.3439i | −0.266151 | − | 1.94355i | ||||
\(965\) | 5.19879 | − | 2.09127i | 0.167355 | − | 0.0673205i | ||||
\(966\) | 13.4661 | + | 49.7391i | 0.433265 | + | 1.60033i | ||||
\(967\) | 8.27193 | + | 19.9702i | 0.266007 | + | 0.642199i | 0.999288 | − | 0.0377274i | \(-0.0120119\pi\) |
−0.733281 | + | 0.679926i | \(0.762012\pi\) | |||||||
\(968\) | −11.0729 | + | 2.29238i | −0.355898 | + | 0.0736797i | ||||
\(969\) | −7.68240 | − | 3.18215i | −0.246794 | − | 0.102226i | ||||
\(970\) | −24.8107 | + | 27.8585i | −0.796623 | + | 0.894482i | ||||
\(971\) | −6.04438 | − | 30.3872i | −0.193973 | − | 0.975170i | −0.947986 | − | 0.318311i | \(-0.896884\pi\) |
0.754013 | − | 0.656859i | \(-0.228116\pi\) | |||||||
\(972\) | 0.706632 | − | 11.7131i | 0.0226652 | − | 0.375698i | ||||
\(973\) | 8.61103 | − | 5.75370i | 0.276057 | − | 0.184455i | ||||
\(974\) | −10.5369 | − | 9.19232i | −0.337625 | − | 0.294541i | ||||
\(975\) | 26.5907 | + | 11.6581i | 0.851585 | + | 0.373358i | ||||
\(976\) | −1.95351 | − | 25.7093i | −0.0625303 | − | 0.822934i | ||||
\(977\) | −23.0500 | + | 23.0500i | −0.737435 | + | 0.737435i | −0.972081 | − | 0.234646i | \(-0.924607\pi\) |
0.234646 | + | 0.972081i | \(0.424607\pi\) | |||||||
\(978\) | −10.4126 | + | 0.709644i | −0.332959 | + | 0.0226919i | ||||
\(979\) | −1.90029 | + | 1.26973i | −0.0607335 | + | 0.0405808i | ||||
\(980\) | 30.5966 | − | 17.4595i | 0.977373 | − | 0.557725i | ||||
\(981\) | −3.89386 | + | 0.774536i | −0.124321 | + | 0.0247290i | ||||
\(982\) | 25.0198 | + | 32.4317i | 0.798414 | + | 1.03494i | ||||
\(983\) | −12.1522 | − | 5.03362i | −0.387596 | − | 0.160547i | 0.180371 | − | 0.983599i | \(-0.442270\pi\) |
−0.567967 | + | 0.823051i | \(0.692270\pi\) | |||||||
\(984\) | −0.273372 | − | 0.269144i | −0.00871477 | − | 0.00858001i | ||||
\(985\) | 0.465277 | − | 2.22000i | 0.0148250 | − | 0.0707349i | ||||
\(986\) | 3.83337 | − | 6.67960i | 0.122079 | − | 0.212722i | ||||
\(987\) | 51.7552 | − | 77.4572i | 1.64739 | − | 2.46549i | ||||
\(988\) | −22.9472 | − | 39.2731i | −0.730047 | − | 1.24944i | ||||
\(989\) | −3.12965 | + | 15.7338i | −0.0995170 | + | 0.500306i | ||||
\(990\) | −4.22117 | − | 5.58912i | −0.134158 | − | 0.177634i | ||||
\(991\) | 7.80359i | 0.247889i | 0.992289 | + | 0.123945i | \(0.0395545\pi\) | ||||
−0.992289 | + | 0.123945i | \(0.960445\pi\) | |||||||
\(992\) | −23.2146 | − | 25.7878i | −0.737064 | − | 0.818763i | ||||
\(993\) | −2.42022 | −0.0768033 | ||||||||
\(994\) | 4.94547 | − | 14.6942i | 0.156861 | − | 0.466070i | ||||
\(995\) | 6.02140 | + | 6.14605i | 0.190891 | + | 0.194843i | ||||
\(996\) | 12.9308 | − | 49.2811i | 0.409729 | − | 1.56153i | ||||
\(997\) | −4.00668 | + | 5.99642i | −0.126893 | + | 0.189908i | −0.889476 | − | 0.456981i | \(-0.848931\pi\) |
0.762584 | + | 0.646890i | \(0.223931\pi\) | |||||||
\(998\) | 18.5459 | − | 32.3161i | 0.587061 | − | 1.02295i | ||||
\(999\) | −10.0035 | − | 24.1507i | −0.316498 | − | 0.764093i |
(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 | 320.2.bf.a.29.17 | ✓ | 368 | |
5.4 | even | 2 | inner | 320.2.bf.a.29.30 | yes | 368 | |
64.53 | even | 16 | inner | 320.2.bf.a.309.30 | yes | 368 | |
320.309 | even | 16 | inner | 320.2.bf.a.309.17 | yes | 368 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
320.2.bf.a.29.17 | ✓ | 368 | 1.1 | even | 1 | trivial | |
320.2.bf.a.29.30 | yes | 368 | 5.4 | even | 2 | inner | |
320.2.bf.a.309.17 | yes | 368 | 320.309 | even | 16 | inner | |
320.2.bf.a.309.30 | yes | 368 | 64.53 | even | 16 | inner |