Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [261,3,Mod(10,261)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(261, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([0, 23]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("261.10");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 261 = 3^{2} \cdot 29 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 261.s (of order \(28\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.11173489980\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{28})\) |
Twist minimal: | no (minimal twist has level 29) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 37.4 | ||
Character | \(\chi\) | \(=\) | 261.37 |
Dual form | 261.3.s.a.127.4 |
$q$-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 \(\left(\mathbb{Z}/261\mathbb{Z}\right)^\times\).
\(n\) | \(118\) | \(146\) |
\(\chi(n)\) | \(e\left(\frac{3}{28}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.32673 | + | 0.814157i | 1.16336 | + | 0.407078i | 0.841789 | − | 0.539806i | \(-0.181502\pi\) |
0.321574 | + | 0.946885i | \(0.395788\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.62348 | + | 1.29468i | 0.405869 | + | 0.323670i | ||||
\(5\) | 3.83207 | + | 7.95737i | 0.766414 | + | 1.59147i | 0.805755 | + | 0.592248i | \(0.201760\pi\) |
−0.0393418 | + | 0.999226i | \(0.512526\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.23777 | + | 2.80607i | 0.319681 | + | 0.400867i | 0.915543 | − | 0.402219i | \(-0.131761\pi\) |
−0.595862 | + | 0.803087i | \(0.703190\pi\) | |||||||
\(8\) | −2.52264 | − | 4.01476i | −0.315330 | − | 0.501845i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 2.43763 | + | 21.6345i | 0.243763 | + | 2.16345i | ||||
\(11\) | −4.04453 | + | 6.43684i | −0.367685 | + | 0.585167i | −0.978409 | − | 0.206676i | \(-0.933735\pi\) |
0.610725 | + | 0.791843i | \(0.290878\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −7.19807 | + | 1.64291i | −0.553698 | + | 0.126378i | −0.490210 | − | 0.871605i | \(-0.663080\pi\) |
−0.0634884 | + | 0.997983i | \(0.520223\pi\) | |||||||
\(14\) | 2.92209 | + | 8.35085i | 0.208721 | + | 0.596489i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −4.44912 | − | 19.4929i | −0.278070 | − | 1.21830i | ||||
\(17\) | −1.60706 | − | 1.60706i | −0.0945331 | − | 0.0945331i | 0.658259 | − | 0.752792i | \(-0.271293\pi\) |
−0.752792 | + | 0.658259i | \(0.771293\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 33.1033 | − | 3.72985i | 1.74228 | − | 0.196308i | 0.817270 | − | 0.576254i | \(-0.195486\pi\) |
0.925008 | + | 0.379947i | \(0.124058\pi\) | |||||||
\(20\) | −4.08097 | + | 17.8799i | −0.204049 | + | 0.893996i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −14.6511 | + | 11.6839i | −0.665960 | + | 0.531085i | ||||
\(23\) | 20.4388 | + | 9.84282i | 0.888644 | + | 0.427948i | 0.821774 | − | 0.569813i | \(-0.192984\pi\) |
0.0668700 | + | 0.997762i | \(0.478699\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −33.0478 | + | 41.4406i | −1.32191 | + | 1.65762i | ||||
\(26\) | −18.0855 | − | 2.03775i | −0.695597 | − | 0.0783750i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 7.45278i | 0.266171i | ||||||||
\(29\) | −14.4627 | − | 25.1362i | −0.498714 | − | 0.866766i | ||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.30982 | + | 1.85799i | 0.171284 | + | 0.0599350i | 0.414559 | − | 0.910022i | \(-0.363936\pi\) |
−0.243275 | + | 0.969957i | \(0.578222\pi\) | |||||||
\(32\) | 3.39483 | − | 30.1300i | 0.106089 | − | 0.941562i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.43079 | − | 5.04759i | −0.0714939 | − | 0.148459i | ||||
\(35\) | −13.7537 | + | 28.5598i | −0.392962 | + | 0.815994i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 8.64092 | + | 13.7519i | 0.233538 | + | 0.371674i | 0.942848 | − | 0.333223i | \(-0.108136\pi\) |
−0.709310 | + | 0.704897i | \(0.750993\pi\) | |||||||
\(38\) | 80.0590 | + | 18.2729i | 2.10682 | + | 0.480867i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 22.2800 | − | 35.4584i | 0.557000 | − | 0.886461i | ||||
\(41\) | 42.1095 | − | 42.1095i | 1.02706 | − | 1.02706i | 0.0274377 | − | 0.999624i | \(-0.491265\pi\) |
0.999624 | − | 0.0274377i | \(-0.00873478\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.74483 | + | 4.98643i | 0.0405774 | + | 0.115964i | 0.962389 | − | 0.271674i | \(-0.0875771\pi\) |
−0.921812 | + | 0.387637i | \(0.873291\pi\) | |||||||
\(44\) | −14.8999 | + | 5.21368i | −0.338633 | + | 0.118493i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 39.5419 | + | 39.5419i | 0.859607 | + | 0.859607i | ||||
\(47\) | −60.4551 | − | 37.9864i | −1.28628 | − | 0.808222i | −0.297086 | − | 0.954851i | \(-0.596015\pi\) |
−0.989192 | + | 0.146629i | \(0.953158\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 8.03709 | − | 35.2128i | 0.164022 | − | 0.718629i | ||||
\(50\) | −110.632 | + | 69.5148i | −2.21264 | + | 1.39030i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −13.8130 | − | 6.65197i | −0.265634 | − | 0.127923i | ||||
\(53\) | 78.2991 | − | 37.7068i | 1.47734 | − | 0.711450i | 0.490246 | − | 0.871584i | \(-0.336907\pi\) |
0.987095 | + | 0.160134i | \(0.0511928\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −66.7192 | − | 7.51745i | −1.21308 | − | 0.136681i | ||||
\(56\) | 5.62062 | − | 16.0628i | 0.100368 | − | 0.286836i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −13.1859 | − | 70.2600i | −0.227344 | − | 1.21138i | ||||
\(59\) | −67.9548 | −1.15178 | −0.575888 | − | 0.817528i | \(-0.695344\pi\) | ||||
−0.575888 | + | 0.817528i | \(0.695344\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 5.72557 | − | 50.8159i | 0.0938619 | − | 0.833047i | −0.855273 | − | 0.518178i | \(-0.826611\pi\) |
0.949135 | − | 0.314870i | \(-0.101961\pi\) | |||||||
\(62\) | 10.8418 | + | 8.64605i | 0.174868 | + | 0.139452i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −2.27117 | + | 4.71614i | −0.0354871 | + | 0.0736897i | ||||
\(65\) | −40.6568 | − | 50.9820i | −0.625489 | − | 0.784338i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −29.4645 | − | 6.72508i | −0.439769 | − | 0.100374i | −0.00309676 | − | 0.999995i | \(-0.500986\pi\) |
−0.436672 | + | 0.899621i | \(0.643843\pi\) | |||||||
\(68\) | −0.528398 | − | 4.68966i | −0.00777056 | − | 0.0689656i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −55.2532 | + | 55.2532i | −0.789331 | + | 0.789331i | ||||
\(71\) | −17.3364 | + | 3.95693i | −0.244175 | + | 0.0557314i | −0.342857 | − | 0.939388i | \(-0.611395\pi\) |
0.0986817 | + | 0.995119i | \(0.468537\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 29.8255 | − | 10.4364i | 0.408569 | − | 0.142965i | −0.118166 | − | 0.992994i | \(-0.537702\pi\) |
0.526735 | + | 0.850029i | \(0.323416\pi\) | |||||||
\(74\) | 8.90881 | + | 39.0321i | 0.120389 | + | 0.527460i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 58.5714 | + | 36.8029i | 0.770677 | + | 0.484248i | ||||
\(77\) | −27.1129 | + | 3.05489i | −0.352116 | + | 0.0396739i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −38.0418 | + | 23.9032i | −0.481541 | + | 0.302572i | −0.750840 | − | 0.660484i | \(-0.770351\pi\) |
0.269299 | + | 0.963057i | \(0.413208\pi\) | |||||||
\(80\) | 138.063 | − | 110.101i | 1.72578 | − | 1.37627i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 132.261 | − | 63.6936i | 1.61294 | − | 0.776751i | ||||
\(83\) | −3.87179 | + | 4.85507i | −0.0466480 | + | 0.0584948i | −0.804608 | − | 0.593806i | \(-0.797625\pi\) |
0.757960 | + | 0.652301i | \(0.226196\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 6.62962 | − | 18.9464i | 0.0779955 | − | 0.222898i | ||||
\(86\) | 13.0226i | 0.151426i | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 36.0453 | 0.409605 | ||||||||
\(89\) | 19.6772 | + | 6.88537i | 0.221093 | + | 0.0773637i | 0.438552 | − | 0.898706i | \(-0.355491\pi\) |
−0.217460 | + | 0.976069i | \(0.569777\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −20.7177 | − | 16.5218i | −0.227667 | − | 0.181559i | ||||
\(92\) | 20.4387 | + | 42.4413i | 0.222159 | + | 0.461319i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −109.735 | − | 137.604i | −1.16740 | − | 1.46387i | ||||
\(95\) | 156.534 | + | 249.122i | 1.64772 | + | 2.62234i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 5.86295 | + | 52.0352i | 0.0604428 | + | 0.536445i | 0.987050 | + | 0.160414i | \(0.0512829\pi\) |
−0.926607 | + | 0.376031i | \(0.877289\pi\) | |||||||
\(98\) | 47.3689 | − | 75.3871i | 0.483356 | − | 0.769256i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −107.305 | + | 24.4916i | −1.07305 | + | 0.244916i | ||||
\(101\) | 13.5414 | + | 38.6991i | 0.134073 | + | 0.383159i | 0.991273 | − | 0.131825i | \(-0.0420836\pi\) |
−0.857200 | + | 0.514984i | \(0.827798\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −18.1203 | − | 79.3902i | −0.175925 | − | 0.770779i | −0.983485 | − | 0.180992i | \(-0.942069\pi\) |
0.807559 | − | 0.589786i | \(-0.200788\pi\) | |||||||
\(104\) | 24.7541 | + | 24.7541i | 0.238020 | + | 0.238020i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 212.880 | − | 23.9858i | 2.00830 | − | 0.226281i | ||||
\(107\) | −3.47716 | + | 15.2344i | −0.0324968 | + | 0.142378i | −0.988574 | − | 0.150738i | \(-0.951835\pi\) |
0.956077 | + | 0.293116i | \(0.0946921\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −24.8134 | + | 19.7880i | −0.227646 | + | 0.181542i | −0.730670 | − | 0.682731i | \(-0.760792\pi\) |
0.503024 | + | 0.864272i | \(0.332221\pi\) | |||||||
\(110\) | −149.117 | − | 71.8109i | −1.35561 | − | 0.652827i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 44.7422 | − | 56.1050i | 0.399484 | − | 0.500937i | ||||
\(113\) | −80.1964 | − | 9.03596i | −0.709703 | − | 0.0799643i | −0.250269 | − | 0.968176i | \(-0.580519\pi\) |
−0.459434 | + | 0.888212i | \(0.651948\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 200.358i | 1.74224i | ||||||||
\(116\) | 9.06348 | − | 59.5327i | 0.0781335 | − | 0.513213i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −158.112 | − | 55.3259i | −1.33993 | − | 0.468863i | ||||
\(119\) | 0.913300 | − | 8.10576i | 0.00767479 | − | 0.0681156i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 27.4253 | + | 56.9493i | 0.226655 | + | 0.470655i | ||||
\(122\) | 54.6939 | − | 113.573i | 0.448311 | − | 0.930927i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 6.21487 | + | 9.89091i | 0.0501199 | + | 0.0797654i | ||||
\(125\) | −241.135 | − | 55.0375i | −1.92908 | − | 0.440300i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −47.5028 | + | 75.6003i | −0.374038 | + | 0.595278i | −0.979706 | − | 0.200439i | \(-0.935763\pi\) |
0.605668 | + | 0.795717i | \(0.292906\pi\) | |||||||
\(128\) | −94.8838 | + | 94.8838i | −0.741279 | + | 0.741279i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −53.0899 | − | 151.722i | −0.408384 | − | 1.16709i | ||||
\(131\) | 122.442 | − | 42.8444i | 0.934674 | − | 0.327057i | 0.180383 | − | 0.983596i | \(-0.442266\pi\) |
0.754291 | + | 0.656540i | \(0.227981\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 84.5437 | + | 84.5437i | 0.635667 | + | 0.635667i | ||||
\(134\) | −63.0805 | − | 39.6361i | −0.470750 | − | 0.295792i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −2.39793 | + | 10.5060i | −0.0176318 | + | 0.0772501i | ||||
\(137\) | 104.753 | − | 65.8204i | 0.764618 | − | 0.480441i | −0.0924040 | − | 0.995722i | \(-0.529455\pi\) |
0.857022 | + | 0.515281i | \(0.172312\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 40.2937 | + | 19.4044i | 0.289883 | + | 0.139600i | 0.573174 | − | 0.819434i | \(-0.305712\pi\) |
−0.283291 | + | 0.959034i | \(0.591426\pi\) | |||||||
\(140\) | −59.3046 | + | 28.5596i | −0.423604 | + | 0.203997i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −43.5587 | − | 4.90789i | −0.306751 | − | 0.0345626i | ||||
\(143\) | 18.5377 | − | 52.9776i | 0.129634 | − | 0.370473i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 144.596 | − | 211.409i | 0.997215 | − | 1.45799i | ||||
\(146\) | 77.8928 | 0.533512 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −3.77603 | + | 33.5132i | −0.0255137 | + | 0.226440i | ||||
\(149\) | 92.6321 | + | 73.8716i | 0.621692 | + | 0.495783i | 0.882938 | − | 0.469489i | \(-0.155562\pi\) |
−0.261246 | + | 0.965272i | \(0.584133\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −79.3234 | + | 164.717i | −0.525320 | + | 1.09084i | 0.454461 | + | 0.890767i | \(0.349832\pi\) |
−0.979781 | + | 0.200072i | \(0.935882\pi\) | |||||||
\(152\) | −98.4822 | − | 123.493i | −0.647909 | − | 0.812453i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −65.5715 | − | 14.9663i | −0.425789 | − | 0.0971836i | ||||
\(155\) | 5.56290 | + | 49.3721i | 0.0358897 | + | 0.318530i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −78.3608 | + | 78.3608i | −0.499113 | + | 0.499113i | −0.911162 | − | 0.412049i | \(-0.864813\pi\) |
0.412049 | + | 0.911162i | \(0.364813\pi\) | |||||||
\(158\) | −107.974 | + | 24.6443i | −0.683378 | + | 0.155977i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 252.765 | − | 88.4462i | 1.57978 | − | 0.552789i | ||||
\(161\) | 18.1177 | + | 79.3787i | 0.112532 | + | 0.493035i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −12.8408 | − | 8.06844i | −0.0787782 | − | 0.0494996i | 0.492067 | − | 0.870557i | \(-0.336242\pi\) |
−0.570845 | + | 0.821058i | \(0.693384\pi\) | |||||||
\(164\) | 122.882 | − | 13.8455i | 0.749282 | − | 0.0844238i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −12.9614 | + | 8.14417i | −0.0780806 | + | 0.0490613i | ||||
\(167\) | −205.173 | + | 163.620i | −1.22858 | + | 0.979760i | −0.228600 | + | 0.973521i | \(0.573415\pi\) |
−0.999981 | + | 0.00623948i | \(0.998014\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −103.151 | + | 49.6747i | −0.610359 | + | 0.293933i | ||||
\(170\) | 30.8506 | − | 38.6854i | 0.181474 | − | 0.227561i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −3.62315 | + | 10.3544i | −0.0210648 | + | 0.0601998i | ||||
\(173\) | 61.9144i | 0.357887i | 0.983859 | + | 0.178943i | \(0.0572679\pi\) | ||||
−0.983859 | + | 0.178943i | \(0.942732\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −190.238 | −1.08708 | ||||||||
\(176\) | 143.467 | + | 50.2012i | 0.815153 | + | 0.285234i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 40.1778 | + | 32.0407i | 0.225718 | + | 0.180004i | ||||
\(179\) | −139.692 | − | 290.074i | −0.780403 | − | 1.62052i | −0.784182 | − | 0.620531i | \(-0.786917\pi\) |
0.00377939 | − | 0.999993i | \(-0.498797\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −185.369 | − | 232.445i | −1.02414 | − | 1.28423i | −0.958108 | − | 0.286408i | \(-0.907539\pi\) |
−0.0660276 | − | 0.997818i | \(-0.521033\pi\) | |||||||
\(182\) | −34.7531 | − | 55.3093i | −0.190951 | − | 0.303897i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −12.0433 | − | 106.887i | −0.0654525 | − | 0.580907i | ||||
\(185\) | −76.3167 | + | 121.457i | −0.412523 | + | 0.656526i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 16.8442 | − | 3.84458i | 0.0900760 | − | 0.0205593i | ||||
\(188\) | −48.9672 | − | 139.940i | −0.260464 | − | 0.744362i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 161.387 | + | 707.082i | 0.849405 | + | 3.72149i | ||||
\(191\) | 191.734 | + | 191.734i | 1.00384 | + | 1.00384i | 0.999993 | + | 0.00384775i | \(0.00122478\pi\) |
0.00384775 | + | 0.999993i | \(0.498775\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 134.893 | − | 15.1987i | 0.698925 | − | 0.0787500i | 0.244650 | − | 0.969611i | \(-0.421327\pi\) |
0.454275 | + | 0.890861i | \(0.349898\pi\) | |||||||
\(194\) | −28.7233 | + | 125.845i | −0.148058 | + | 0.648685i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 58.6374 | − | 46.7617i | 0.299170 | − | 0.238580i | ||||
\(197\) | 102.900 | + | 49.5541i | 0.522336 | + | 0.251544i | 0.676423 | − | 0.736514i | \(-0.263529\pi\) |
−0.154087 | + | 0.988057i | \(0.549244\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −50.0688 | + | 62.7843i | −0.251602 | + | 0.315499i | −0.891553 | − | 0.452917i | \(-0.850383\pi\) |
0.639951 | + | 0.768416i | \(0.278955\pi\) | |||||||
\(200\) | 249.742 | + | 28.1391i | 1.24871 | + | 0.140696i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 101.067i | 0.500332i | ||||||||
\(203\) | 38.1698 | − | 96.8324i | 0.188029 | − | 0.477007i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 496.447 | + | 173.714i | 2.42170 | + | 0.847388i | ||||
\(206\) | 22.4751 | − | 199.472i | 0.109102 | − | 0.968311i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 64.0501 | + | 133.001i | 0.307933 | + | 0.639430i | ||||
\(209\) | −109.879 | + | 228.166i | −0.525737 | + | 1.09170i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −34.1531 | − | 54.3543i | −0.161863 | − | 0.257604i | 0.755939 | − | 0.654642i | \(-0.227181\pi\) |
−0.917802 | + | 0.397039i | \(0.870038\pi\) | |||||||
\(212\) | 175.935 | + | 40.1560i | 0.829883 | + | 0.189415i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −20.4936 | + | 32.6154i | −0.0957645 | + | 0.152408i | ||||
\(215\) | −32.9926 | + | 32.9926i | −0.153454 | + | 0.153454i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 6.66849 | + | 19.0575i | 0.0307304 | + | 0.0878224i | ||||
\(218\) | −73.8446 | + | 25.8393i | −0.338736 | + | 0.118529i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −98.5845 | − | 98.5845i | −0.448111 | − | 0.448111i | ||||
\(221\) | 14.2080 | + | 8.92749i | 0.0642897 | + | 0.0403959i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −47.0630 | + | 206.196i | −0.211045 | + | 0.924648i | 0.752814 | + | 0.658234i | \(0.228696\pi\) |
−0.963859 | + | 0.266414i | \(0.914161\pi\) | |||||||
\(224\) | 92.1437 | − | 57.8977i | 0.411356 | − | 0.258472i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −179.238 | − | 86.3166i | −0.793090 | − | 0.381932i | ||||
\(227\) | −276.625 | + | 133.216i | −1.21861 | + | 0.586853i | −0.928925 | − | 0.370268i | \(-0.879266\pi\) |
−0.289688 | + | 0.957121i | \(0.593552\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 85.7684 | + | 9.66378i | 0.374535 | + | 0.0421999i | 0.297226 | − | 0.954807i | \(-0.403939\pi\) |
0.0773089 | + | 0.997007i | \(0.475367\pi\) | |||||||
\(230\) | −163.122 | + | 466.177i | −0.709228 | + | 2.02686i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −64.4317 | + | 121.474i | −0.277723 | + | 0.523595i | ||||
\(233\) | 141.899 | 0.609008 | 0.304504 | − | 0.952511i | \(-0.401509\pi\) | ||||
0.304504 | + | 0.952511i | \(0.401509\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 70.6042 | − | 626.630i | 0.300444 | − | 2.66651i | ||||
\(236\) | −110.323 | − | 87.9797i | −0.467471 | − | 0.372796i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 8.72436 | − | 18.1163i | 0.0366570 | − | 0.0761190i | ||||
\(239\) | −86.5736 | − | 108.560i | −0.362233 | − | 0.454225i | 0.567002 | − | 0.823717i | \(-0.308103\pi\) |
−0.929234 | + | 0.369491i | \(0.879532\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −178.803 | − | 40.8106i | −0.741922 | − | 0.169339i | −0.165178 | − | 0.986264i | \(-0.552820\pi\) |
−0.576744 | + | 0.816925i | \(0.695677\pi\) | |||||||
\(242\) | 17.4456 | + | 154.834i | 0.0720892 | + | 0.639809i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 75.0857 | − | 75.0857i | 0.307728 | − | 0.307728i | ||||
\(245\) | 311.000 | − | 70.9837i | 1.26939 | − | 0.289730i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −232.152 | + | 81.2336i | −0.939887 | + | 0.328881i | ||||
\(248\) | −5.93540 | − | 26.0047i | −0.0239331 | − | 0.104858i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −516.246 | − | 324.379i | −2.06498 | − | 1.29752i | ||||
\(251\) | 253.427 | − | 28.5543i | 1.00967 | − | 0.113762i | 0.408394 | − | 0.912806i | \(-0.366089\pi\) |
0.601273 | + | 0.799043i | \(0.294660\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −146.022 | + | 91.7517i | −0.577162 | + | 0.362655i | ||||
\(254\) | −172.077 | + | 137.227i | −0.677467 | + | 0.540262i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −279.154 | + | 134.434i | −1.09045 | + | 0.525131i | ||||
\(257\) | 9.57230 | − | 12.0033i | 0.0372463 | − | 0.0467054i | −0.762859 | − | 0.646564i | \(-0.776205\pi\) |
0.800106 | + | 0.599859i | \(0.204777\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −19.2526 | + | 55.0206i | −0.0743342 | + | 0.212435i | ||||
\(260\) | − | 135.406i | − | 0.520791i | ||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 319.772 | 1.22050 | ||||||||
\(263\) | −210.667 | − | 73.7155i | −0.801014 | − | 0.280287i | −0.101435 | − | 0.994842i | \(-0.532343\pi\) |
−0.699579 | + | 0.714555i | \(0.746629\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 600.095 | + | 478.560i | 2.26451 | + | 1.80589i | ||||
\(266\) | 127.878 | + | 265.542i | 0.480745 | + | 0.998277i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −39.1281 | − | 49.0651i | −0.146000 | − | 0.183079i | ||||
\(269\) | −206.896 | − | 329.273i | −0.769129 | − | 1.22406i | −0.969680 | − | 0.244379i | \(-0.921416\pi\) |
0.200551 | − | 0.979683i | \(-0.435727\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 43.4468 | + | 385.601i | 0.160320 | + | 1.42288i | 0.773929 | + | 0.633273i | \(0.218289\pi\) |
−0.613608 | + | 0.789611i | \(0.710283\pi\) | |||||||
\(272\) | −24.1762 | + | 38.4762i | −0.0888831 | + | 0.141457i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 297.319 | − | 67.8611i | 1.08511 | − | 0.247668i | ||||
\(275\) | −133.084 | − | 380.331i | −0.483940 | − | 1.38302i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −73.9544 | − | 324.015i | −0.266983 | − | 1.16973i | −0.913503 | − | 0.406833i | \(-0.866633\pi\) |
0.646519 | − | 0.762897i | \(-0.276224\pi\) | |||||||
\(278\) | 77.9542 | + | 77.9542i | 0.280411 | + | 0.280411i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 149.356 | − | 16.8284i | 0.533415 | − | 0.0601015i | ||||
\(281\) | 0.644237 | − | 2.82259i | 0.00229266 | − | 0.0100448i | −0.973769 | − | 0.227540i | \(-0.926932\pi\) |
0.976061 | + | 0.217496i | \(0.0697888\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 275.054 | − | 219.348i | 0.971921 | − | 0.775081i | −0.00245718 | − | 0.999997i | \(-0.500782\pi\) |
0.974378 | + | 0.224916i | \(0.0722107\pi\) | |||||||
\(284\) | −33.2683 | − | 16.0212i | −0.117142 | − | 0.0564125i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 86.2642 | − | 108.172i | 0.301623 | − | 0.378223i | ||||
\(287\) | 212.393 | + | 23.9310i | 0.740047 | + | 0.0833833i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | − | 283.835i | − | 0.982127i | ||||||
\(290\) | 508.556 | − | 374.167i | 1.75364 | − | 1.29023i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 61.9329 | + | 21.6713i | 0.212099 | + | 0.0742167i | ||||
\(293\) | 10.4159 | − | 92.4441i | 0.0355493 | − | 0.315509i | −0.963336 | − | 0.268299i | \(-0.913538\pi\) |
0.998885 | − | 0.0472098i | \(-0.0150329\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −260.407 | − | 540.742i | −0.882737 | − | 1.83302i | ||||
\(296\) | 33.4128 | − | 69.3824i | 0.112881 | − | 0.234400i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 155.386 | + | 247.296i | 0.521431 | + | 0.829853i | ||||
\(299\) | −163.291 | − | 37.2701i | −0.546124 | − | 0.124649i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −10.0878 | + | 16.0546i | −0.0335142 | + | 0.0533375i | ||||
\(302\) | −318.669 | + | 318.669i | −1.05520 | + | 1.05520i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −219.986 | − | 628.683i | −0.723637 | − | 2.06804i | ||||
\(305\) | 426.302 | − | 149.169i | 1.39771 | − | 0.489080i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −32.6117 | − | 32.6117i | −0.106227 | − | 0.106227i | 0.651996 | − | 0.758223i | \(-0.273932\pi\) |
−0.758223 | + | 0.651996i | \(0.773932\pi\) | |||||||
\(308\) | −47.9724 | − | 30.1430i | −0.155754 | − | 0.0978670i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −27.2533 | + | 119.404i | −0.0879138 | + | 0.385176i | ||||
\(311\) | −55.7972 | + | 35.0597i | −0.179412 | + | 0.112732i | −0.618744 | − | 0.785593i | \(-0.712358\pi\) |
0.439332 | + | 0.898325i | \(0.355215\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −145.236 | − | 69.9418i | −0.464012 | − | 0.223456i | 0.187246 | − | 0.982313i | \(-0.440044\pi\) |
−0.651257 | + | 0.758857i | \(0.725758\pi\) | |||||||
\(314\) | −246.122 | + | 118.526i | −0.783828 | + | 0.377472i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −92.7070 | − | 10.4456i | −0.293377 | − | 0.0330556i | ||||
\(317\) | −92.7815 | + | 265.154i | −0.292686 | + | 0.836449i | 0.699827 | + | 0.714312i | \(0.253260\pi\) |
−0.992513 | + | 0.122137i | \(0.961025\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 220.293 | + | 8.57016i | 0.690573 | + | 0.0268657i | ||||
\(320\) | −46.2314 | −0.144473 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −22.4718 | + | 199.443i | −0.0697883 | + | 0.619388i | ||||
\(323\) | −59.1931 | − | 47.2050i | −0.183261 | − | 0.146145i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 169.797 | − | 352.587i | 0.522452 | − | 1.08488i | ||||
\(326\) | −23.3082 | − | 29.2275i | −0.0714974 | − | 0.0896549i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −275.287 | − | 62.8324i | −0.839289 | − | 0.191562i | ||||
\(329\) | −28.6917 | − | 254.646i | −0.0872088 | − | 0.774000i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −35.3548 | + | 35.3548i | −0.106812 | + | 0.106812i | −0.758493 | − | 0.651681i | \(-0.774064\pi\) |
0.651681 | + | 0.758493i | \(0.274064\pi\) | |||||||
\(332\) | −12.5715 | + | 2.86937i | −0.0378660 | + | 0.00864268i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −610.593 | + | 213.656i | −1.82812 | + | 0.639688i | ||||
\(335\) | −59.3960 | − | 260.231i | −0.177301 | − | 0.776808i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −233.227 | − | 146.546i | −0.692069 | − | 0.434856i | 0.139541 | − | 0.990216i | \(-0.455437\pi\) |
−0.831610 | + | 0.555361i | \(0.812580\pi\) | |||||||
\(338\) | −280.446 | + | 31.5987i | −0.829723 | + | 0.0934873i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 35.2925 | − | 22.1758i | 0.103802 | − | 0.0652228i | ||||
\(341\) | −33.4353 | + | 26.6637i | −0.0980506 | + | 0.0781928i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 275.244 | − | 132.551i | 0.802462 | − | 0.386445i | ||||
\(344\) | 15.6178 | − | 19.5841i | 0.0454005 | − | 0.0569304i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −50.4080 | + | 144.058i | −0.145688 | + | 0.416352i | ||||
\(347\) | − | 506.789i | − | 1.46049i | −0.683186 | − | 0.730244i | \(-0.739406\pi\) | ||
0.683186 | − | 0.730244i | \(-0.260594\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −308.138 | −0.882917 | −0.441459 | − | 0.897282i | \(-0.645539\pi\) | ||||
−0.441459 | + | 0.897282i | \(0.645539\pi\) | |||||||
\(350\) | −442.633 | − | 154.884i | −1.26466 | − | 0.442525i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 180.211 | + | 143.714i | 0.511964 | + | 0.408277i | ||||
\(353\) | −48.7910 | − | 101.316i | −0.138218 | − | 0.287013i | 0.820358 | − | 0.571851i | \(-0.193774\pi\) |
−0.958576 | + | 0.284838i | \(0.908060\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −97.9212 | − | 122.789i | −0.275834 | − | 0.345885i | ||||
\(356\) | 23.0312 | + | 36.6540i | 0.0646945 | + | 0.102961i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −88.8599 | − | 788.653i | −0.248212 | − | 2.20294i | ||||
\(359\) | 38.4941 | − | 61.2630i | 0.107226 | − | 0.170649i | −0.788801 | − | 0.614648i | \(-0.789298\pi\) |
0.896027 | + | 0.443999i | \(0.146441\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 729.968 | − | 166.610i | 2.02207 | − | 0.461525i | ||||
\(362\) | −242.055 | − | 691.754i | −0.668661 | − | 1.91092i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −12.2443 | − | 53.6457i | −0.0336381 | − | 0.147378i | ||||
\(365\) | 197.340 | + | 197.340i | 0.540657 | + | 0.540657i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 39.4991 | − | 4.45048i | 0.107627 | − | 0.0121267i | −0.0579866 | − | 0.998317i | \(-0.518468\pi\) |
0.165614 | + | 0.986191i | \(0.447040\pi\) | |||||||
\(368\) | 100.930 | − | 442.203i | 0.274266 | − | 1.20164i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −276.453 | + | 220.464i | −0.747171 | + | 0.595849i | ||||
\(371\) | 281.023 | + | 135.334i | 0.757475 | + | 0.364781i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −312.636 | + | 392.033i | −0.838165 | + | 1.05103i | 0.159793 | + | 0.987151i | \(0.448917\pi\) |
−0.997958 | + | 0.0638753i | \(0.979654\pi\) | |||||||
\(374\) | 42.3220 | + | 4.76854i | 0.113160 | + | 0.0127501i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 338.539i | 0.900369i | ||||||||
\(377\) | 145.400 | + | 157.171i | 0.385677 | + | 0.416900i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −296.798 | − | 103.854i | −0.783109 | − | 0.274022i | −0.0910346 | − | 0.995848i | \(-0.529017\pi\) |
−0.692075 | + | 0.721826i | \(0.743303\pi\) | |||||||
\(380\) | −68.4044 | + | 607.106i | −0.180012 | + | 1.59765i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 290.010 | + | 602.212i | 0.759189 | + | 1.57647i | ||||
\(383\) | −184.851 | + | 383.847i | −0.482639 | + | 1.00221i | 0.507438 | + | 0.861688i | \(0.330593\pi\) |
−0.990077 | + | 0.140522i | \(0.955122\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −128.208 | − | 204.041i | −0.333007 | − | 0.529977i | ||||
\(386\) | 326.232 | + | 74.4604i | 0.845161 | + | 0.192903i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −57.8505 | + | 92.0686i | −0.149099 | + | 0.237290i | ||||
\(389\) | −11.1950 | + | 11.1950i | −0.0287790 | + | 0.0287790i | −0.721350 | − | 0.692571i | \(-0.756478\pi\) |
0.692571 | + | 0.721350i | \(0.256478\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −17.0284 | − | 48.6645i | −0.0435510 | − | 0.124462i | ||||
\(392\) | −161.646 | + | 56.5623i | −0.412362 | + | 0.144292i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 199.076 | + | 199.076i | 0.505268 | + | 0.505268i | ||||
\(395\) | −335.985 | − | 211.114i | −0.850596 | − | 0.534465i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 56.3270 | − | 246.785i | 0.141882 | − | 0.621624i | −0.853116 | − | 0.521722i | \(-0.825290\pi\) |
0.994997 | − | 0.0999023i | \(-0.0318530\pi\) | |||||||
\(398\) | −167.613 | + | 105.318i | −0.421137 | + | 0.264618i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 954.829 | + | 459.821i | 2.38707 | + | 1.14955i | ||||
\(401\) | 400.299 | − | 192.774i | 0.998253 | − | 0.480733i | 0.137908 | − | 0.990445i | \(-0.455962\pi\) |
0.860345 | + | 0.509712i | \(0.170248\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −41.2730 | − | 4.65035i | −0.102414 | − | 0.0115393i | ||||
\(404\) | −28.1188 | + | 80.3589i | −0.0696010 | + | 0.198908i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 167.648 | − | 194.226i | 0.412925 | − | 0.478390i | ||||
\(407\) | −123.467 | −0.303360 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −60.3508 | + | 535.628i | −0.147557 | + | 1.30960i | 0.673683 | + | 0.739021i | \(0.264711\pi\) |
−0.821240 | + | 0.570583i | \(0.806717\pi\) | |||||||
\(410\) | 1013.67 | + | 808.372i | 2.47236 | + | 1.97164i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 73.3670 | − | 152.348i | 0.178075 | − | 0.369777i | ||||
\(413\) | −152.067 | − | 190.686i | −0.368201 | − | 0.461709i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −53.4705 | − | 12.2043i | −0.128845 | − | 0.0294080i | ||||
\(416\) | 25.0647 | + | 222.455i | 0.0602516 | + | 0.534748i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −441.421 | + | 441.421i | −1.05603 | + | 1.05603i | ||||
\(419\) | 428.228 | − | 97.7402i | 1.02202 | − | 0.233270i | 0.321508 | − | 0.946907i | \(-0.395810\pi\) |
0.700516 | + | 0.713637i | \(0.252953\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 736.985 | − | 257.882i | 1.75056 | − | 0.612547i | 0.751664 | − | 0.659546i | \(-0.229251\pi\) |
0.998895 | + | 0.0469987i | \(0.0149657\pi\) | |||||||
\(422\) | −35.2120 | − | 154.274i | −0.0834407 | − | 0.365577i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −348.905 | − | 219.231i | −0.822888 | − | 0.517055i | ||||
\(425\) | 119.707 | − | 13.4878i | 0.281664 | − | 0.0317360i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 155.405 | − | 97.6477i | 0.363947 | − | 0.228683i | ||||
\(428\) | −25.3688 | + | 20.2309i | −0.0592729 | + | 0.0472685i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −103.626 | + | 49.9036i | −0.240990 | + | 0.116055i | ||||
\(431\) | −476.007 | + | 596.893i | −1.10442 | + | 1.38490i | −0.189209 | + | 0.981937i | \(0.560592\pi\) |
−0.915215 | + | 0.402967i | \(0.867979\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −91.9842 | + | 262.876i | −0.212435 | + | 0.607104i | −0.999958 | − | 0.00918154i | \(-0.997077\pi\) |
0.787523 | + | 0.616285i | \(0.211363\pi\) | |||||||
\(434\) | 49.7707i | 0.114679i | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −65.9032 | −0.151154 | ||||||||
\(437\) | 713.304 | + | 249.596i | 1.63228 | + | 0.571158i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −116.941 | − | 93.2577i | −0.266382 | − | 0.212432i | 0.481185 | − | 0.876619i | \(-0.340207\pi\) |
−0.747567 | + | 0.664187i | \(0.768778\pi\) | |||||||
\(440\) | 138.128 | + | 286.826i | 0.313927 | + | 0.651876i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 25.7898 | + | 32.3394i | 0.0583479 | + | 0.0731660i | ||||
\(443\) | 391.882 | + | 623.676i | 0.884609 | + | 1.40785i | 0.912872 | + | 0.408246i | \(0.133859\pi\) |
−0.0282635 | + | 0.999601i | \(0.508998\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 20.6151 | + | 182.964i | 0.0463261 | + | 0.411156i | ||||
\(446\) | −277.379 | + | 441.446i | −0.621926 | + | 0.989790i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −18.3162 | + | 4.18055i | −0.0408843 | + | 0.00933158i | ||||
\(449\) | 24.4486 | + | 69.8700i | 0.0544511 | + | 0.155612i | 0.967897 | − | 0.251349i | \(-0.0808741\pi\) |
−0.913445 | + | 0.406961i | \(0.866588\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 100.739 | + | 441.365i | 0.223367 | + | 0.978637i | ||||
\(452\) | −118.498 | − | 118.498i | −0.262165 | − | 0.262165i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −752.089 | + | 84.7401i | −1.65658 | + | 0.186652i | ||||
\(455\) | 52.0787 | − | 228.172i | 0.114459 | − | 0.501476i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 617.662 | − | 492.569i | 1.35156 | − | 1.07783i | 0.362237 | − | 0.932086i | \(-0.382013\pi\) |
0.989322 | − | 0.145746i | \(-0.0465582\pi\) | |||||||
\(458\) | 191.692 | + | 92.3139i | 0.418541 | + | 0.201559i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −259.399 | + | 325.276i | −0.563911 | + | 0.707122i | ||||
\(461\) | −444.021 | − | 50.0291i | −0.963169 | − | 0.108523i | −0.383647 | − | 0.923480i | \(-0.625332\pi\) |
−0.579522 | + | 0.814957i | \(0.696761\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 515.055i | − | 1.11243i | −0.831039 | − | 0.556215i | \(-0.812253\pi\) | ||
0.831039 | − | 0.556215i | \(-0.187747\pi\) | |||||||
\(464\) | −425.630 | + | 393.754i | −0.917307 | + | 0.848607i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 330.160 | + | 115.528i | 0.708498 | + | 0.247914i | ||||
\(467\) | −62.2491 | + | 552.476i | −0.133296 | + | 1.18303i | 0.731834 | + | 0.681483i | \(0.238665\pi\) |
−0.865129 | + | 0.501549i | \(0.832764\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −47.0636 | − | 97.7286i | −0.100349 | − | 0.208376i | ||||
\(470\) | 674.452 | − | 1400.51i | 1.43500 | − | 2.97982i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 171.426 | + | 272.822i | 0.363190 | + | 0.578013i | ||||
\(473\) | −39.1539 | − | 8.93661i | −0.0827777 | − | 0.0188935i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −939.423 | + | 1495.08i | −1.97773 | + | 3.14754i | ||||
\(476\) | 11.9771 | − | 11.9771i | 0.0251619 | − | 0.0251619i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −113.048 | − | 323.074i | −0.236503 | − | 0.675886i | ||||
\(479\) | −47.7444 | + | 16.7065i | −0.0996752 | + | 0.0348779i | −0.379656 | − | 0.925128i | \(-0.623958\pi\) |
0.279981 | + | 0.960006i | \(0.409672\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −84.7912 | − | 84.7912i | −0.176281 | − | 0.176281i | ||||
\(482\) | −382.800 | − | 240.529i | −0.794190 | − | 0.499023i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −29.2067 | + | 127.963i | −0.0603444 | + | 0.264386i | ||||
\(485\) | −391.596 | + | 246.056i | −0.807414 | + | 0.507332i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 565.353 | + | 272.260i | 1.16089 | + | 0.559055i | 0.912288 | − | 0.409550i | \(-0.134314\pi\) |
0.248603 | + | 0.968606i | \(0.420029\pi\) | |||||||
\(488\) | −218.457 | + | 105.203i | −0.447658 | + | 0.215581i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 781.404 | + | 88.0431i | 1.59470 | + | 0.179680i | ||||
\(491\) | 213.075 | − | 608.934i | 0.433962 | − | 1.24019i | −0.494634 | − | 0.869101i | \(-0.664698\pi\) |
0.928596 | − | 0.371091i | \(-0.121016\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −17.1530 | + | 63.6380i | −0.0347931 | + | 0.129083i | ||||
\(494\) | −606.291 | −1.22731 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 12.5934 | − | 111.770i | 0.0253900 | − | 0.225342i | ||||
\(497\) | −49.8983 | − | 39.7926i | −0.100399 | − | 0.0800655i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 59.2142 | − | 122.960i | 0.118666 | − | 0.246412i | −0.833172 | − | 0.553014i | \(-0.813478\pi\) |
0.951838 | + | 0.306602i | \(0.0991920\pi\) | |||||||
\(500\) | −320.221 | − | 401.545i | −0.640443 | − | 0.803090i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 612.902 | + | 139.891i | 1.22092 | + | 0.278667i | ||||
\(503\) | −0.982486 | − | 8.71980i | −0.00195325 | − | 0.0173356i | 0.992698 | − | 0.120628i | \(-0.0384908\pi\) |
−0.994651 | + | 0.103292i | \(0.967062\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −256.052 | + | 256.052i | −0.507033 | + | 0.507033i | ||||
\(506\) | −414.454 | + | 94.5963i | −0.819078 | + | 0.186949i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −174.998 | + | 61.2345i | −0.344484 | + | 0.120540i | ||||
\(509\) | 29.4818 | + | 129.168i | 0.0579210 | + | 0.253768i | 0.995596 | − | 0.0937442i | \(-0.0298836\pi\) |
−0.937675 | + | 0.347512i | \(0.887026\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 96.0279 | + | 60.3383i | 0.187922 | + | 0.118079i | ||||
\(512\) | −225.597 | + | 25.4186i | −0.440619 | + | 0.0496458i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 32.0447 | − | 20.1350i | 0.0623437 | − | 0.0391732i | ||||
\(515\) | 562.299 | − | 448.419i | 1.09184 | − | 0.870716i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 489.025 | − | 235.502i | 0.945889 | − | 0.455516i | ||||
\(518\) | −89.5908 | + | 112.343i | −0.172955 | + | 0.216879i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −102.118 | + | 291.837i | −0.196381 | + | 0.561224i | ||||
\(521\) | − | 754.287i | − | 1.44777i | −0.689921 | − | 0.723884i | \(-0.742355\pi\) | ||
0.689921 | − | 0.723884i | \(-0.257645\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −645.744 | −1.23469 | −0.617346 | − | 0.786692i | \(-0.711792\pi\) | ||||
−0.617346 | + | 0.786692i | \(0.711792\pi\) | |||||||
\(524\) | 254.252 | + | 88.9667i | 0.485214 | + | 0.169784i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −430.148 | − | 343.031i | −0.817771 | − | 0.652151i | ||||
\(527\) | −5.54731 | − | 11.5191i | −0.0105262 | − | 0.0218579i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −8.96189 | − | 11.2379i | −0.0169412 | − | 0.0212436i | ||||
\(530\) | 1006.63 | + | 1602.05i | 1.89931 | + | 3.02273i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 27.7977 | + | 246.712i | 0.0522514 | + | 0.463744i | ||||
\(533\) | −233.925 | + | 372.290i | −0.438884 | + | 0.698480i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −134.551 | + | 30.7103i | −0.251496 | + | 0.0574024i | ||||
\(536\) | 47.3288 | + | 135.258i | 0.0883000 | + | 0.252347i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −213.310 | − | 934.573i | −0.396487 | − | 1.73712i | ||||
\(539\) | 194.153 | + | 194.153i | 0.360209 | + | 0.360209i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 447.985 | − | 50.4757i | 0.828068 | − | 0.0933008i | 0.312251 | − | 0.950000i | \(-0.398917\pi\) |
0.515817 | + | 0.856699i | \(0.327488\pi\) | |||||||
\(542\) | −212.851 | + | 932.561i | −0.392714 | + | 1.72059i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −53.8764 | + | 42.9650i | −0.0990376 | + | 0.0789798i | ||||
\(545\) | −252.547 | − | 121.620i | −0.463390 | − | 0.223157i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −506.301 | + | 634.881i | −0.925596 | + | 1.16066i | 0.0611077 | + | 0.998131i | \(0.480537\pi\) |
−0.986704 | + | 0.162530i | \(0.948035\pi\) | |||||||
\(548\) | 255.280 | + | 28.7631i | 0.465839 | + | 0.0524875i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | − | 993.277i | − | 1.80596i | ||||||
\(551\) | −572.518 | − | 778.148i | −1.03905 | − | 1.41225i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −152.203 | − | 53.2580i | −0.275231 | − | 0.0963075i | ||||
\(554\) | 91.7276 | − | 814.105i | 0.165573 | − | 1.46950i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 40.2934 | + | 83.6702i | 0.0724702 | + | 0.150486i | ||||
\(557\) | 293.291 | − | 609.025i | 0.526554 | − | 1.09340i | −0.452868 | − | 0.891578i | \(-0.649599\pi\) |
0.979422 | − | 0.201824i | \(-0.0646867\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −20.7517 | − | 33.0261i | −0.0371229 | − | 0.0590807i | ||||
\(560\) | 617.903 | + | 141.032i | 1.10340 | + | 0.251844i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 3.79699 | − | 6.04288i | 0.00675622 | − | 0.0107525i | ||||
\(563\) | −429.885 | + | 429.885i | −0.763562 | + | 0.763562i | −0.976964 | − | 0.213403i | \(-0.931545\pi\) |
0.213403 | + | 0.976964i | \(0.431545\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −235.416 | − | 672.779i | −0.416665 | − | 1.19076i | ||||
\(566\) | 818.558 | − | 286.426i | 1.44622 | − | 0.506053i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 59.6197 | + | 59.6197i | 0.104964 | + | 0.104964i | ||||
\(569\) | −630.677 | − | 396.281i | −1.10840 | − | 0.696451i | −0.151958 | − | 0.988387i | \(-0.548558\pi\) |
−0.956438 | + | 0.291936i | \(0.905701\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 30.9764 | − | 135.717i | 0.0542495 | − | 0.237682i | −0.940533 | − | 0.339703i | \(-0.889674\pi\) |
0.994782 | + | 0.102020i | \(0.0325307\pi\) | |||||||
\(572\) | 98.6846 | − | 62.0076i | 0.172526 | − | 0.108405i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 474.698 | + | 228.602i | 0.827000 | + | 0.398262i | ||||
\(575\) | −1083.35 | + | 521.714i | −1.88409 | + | 0.907328i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −751.398 | − | 84.6622i | −1.30225 | − | 0.146728i | −0.566545 | − | 0.824031i | \(-0.691720\pi\) |
−0.735705 | + | 0.677302i | \(0.763149\pi\) | |||||||
\(578\) | 231.086 | − | 660.406i | 0.399803 | − | 1.14257i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 508.456 | − | 156.012i | 0.876648 | − | 0.268986i | ||||
\(581\) | −22.2878 | −0.0383611 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −73.9703 | + | 656.505i | −0.126879 | + | 1.12608i | ||||
\(584\) | −117.139 | − | 93.4151i | −0.200580 | − | 0.159957i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 99.4990 | − | 206.612i | 0.169794 | − | 0.352580i | ||||
\(587\) | 481.461 | + | 603.732i | 0.820205 | + | 1.02850i | 0.999004 | + | 0.0446193i | \(0.0142075\pi\) |
−0.178799 | + | 0.983886i | \(0.557221\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 182.702 | + | 41.7006i | 0.310191 | + | 0.0707990i | ||||
\(590\) | −165.648 | − | 1470.17i | −0.280760 | − | 2.49181i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 229.620 | − | 229.620i | 0.387872 | − | 0.387872i | ||||
\(593\) | 636.417 | − | 145.258i | 1.07322 | − | 0.244954i | 0.350826 | − | 0.936441i | \(-0.385901\pi\) |
0.722390 | + | 0.691486i | \(0.243044\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 68.0004 | − | 23.7944i | 0.114286 | − | 0.0399905i | ||||
\(596\) | 54.7460 | + | 239.858i | 0.0918557 | + | 0.402446i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −349.590 | − | 219.662i | −0.584598 | − | 0.367327i | ||||
\(599\) | 106.941 | − | 12.0494i | 0.178533 | − | 0.0201158i | −0.0222453 | − | 0.999753i | \(-0.507081\pi\) |
0.200778 | + | 0.979637i | \(0.435653\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 561.034 | − | 352.521i | 0.933500 | − | 0.586557i | 0.0228515 | − | 0.999739i | \(-0.492726\pi\) |
0.910649 | + | 0.413182i | \(0.135583\pi\) | |||||||
\(602\) | −36.5424 | + | 29.1416i | −0.0607017 | + | 0.0484080i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −342.035 | + | 164.715i | −0.566283 | + | 0.272708i | ||||
\(605\) | −348.071 | + | 436.467i | −0.575323 | + | 0.721433i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −170.406 | + | 486.993i | −0.280735 | + | 0.802294i | 0.714031 | + | 0.700114i | \(0.246868\pi\) |
−0.994766 | + | 0.102180i | \(0.967418\pi\) | |||||||
\(608\) | − | 1010.06i | − | 1.66129i | ||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 1113.33 | 1.82514 | ||||||||
\(611\) | 497.568 | + | 174.107i | 0.814351 | + | 0.284954i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 437.145 | + | 348.611i | 0.713124 | + | 0.568697i | 0.911436 | − | 0.411442i | \(-0.134975\pi\) |
−0.198313 | + | 0.980139i | \(0.563546\pi\) | |||||||
\(614\) | −49.3275 | − | 102.430i | −0.0803380 | − | 0.166824i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 80.6609 | + | 101.146i | 0.130943 | + | 0.164197i | ||||
\(617\) | −365.703 | − | 582.013i | −0.592711 | − | 0.943295i | −0.999556 | − | 0.0297975i | \(-0.990514\pi\) |
0.406844 | − | 0.913497i | \(-0.366629\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −113.508 | − | 1007.42i | −0.183374 | − | 1.62749i | −0.662024 | − | 0.749483i | \(-0.730302\pi\) |
0.478650 | − | 0.878006i | \(-0.341126\pi\) | |||||||
\(620\) | −54.8898 | + | 87.3567i | −0.0885320 | + | 0.140898i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −158.369 | + | 36.1467i | −0.254612 | + | 0.0581136i | ||||
\(623\) | 24.7123 | + | 70.6236i | 0.0396665 | + | 0.113360i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −191.227 | − | 837.819i | −0.305963 | − | 1.34051i | ||||
\(626\) | −280.980 | − | 280.980i | −0.448850 | − | 0.448850i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −228.669 | + | 25.7648i | −0.364123 | + | 0.0410268i | ||||
\(629\) | 8.21373 | − | 35.9867i | 0.0130584 | − | 0.0572126i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −402.770 | + | 321.198i | −0.638304 | + | 0.509030i | −0.888328 | − | 0.459209i | \(-0.848133\pi\) |
0.250025 | + | 0.968240i | \(0.419561\pi\) | |||||||
\(632\) | 191.931 | + | 92.4293i | 0.303689 | + | 0.146249i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −431.754 | + | 541.403i | −0.681001 | + | 0.853948i | ||||
\(635\) | −783.614 | − | 88.2921i | −1.23404 | − | 0.139043i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 266.669i | 0.418632i | ||||||||
\(638\) | 505.583 | + | 199.293i | 0.792450 | + | 0.312372i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −1118.63 | − | 391.424i | −1.74785 | − | 0.611600i | ||||
\(641\) | −44.9011 | + | 398.508i | −0.0700485 | + | 0.621698i | 0.908817 | + | 0.417194i | \(0.136987\pi\) |
−0.978866 | + | 0.204504i | \(0.934442\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −470.130 | − | 976.234i | −0.731150 | − | 1.51825i | −0.850833 | − | 0.525437i | \(-0.823902\pi\) |
0.119683 | − | 0.992812i | \(-0.461812\pi\) | |||||||
\(644\) | −73.3564 | + | 152.326i | −0.113907 | + | 0.236531i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −99.2940 | − | 158.026i | −0.153706 | − | 0.244622i | ||||
\(647\) | 625.852 | + | 142.847i | 0.967313 | + | 0.220783i | 0.676865 | − | 0.736108i | \(-0.263338\pi\) |
0.290449 | + | 0.956891i | \(0.406195\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 274.845 | − | 437.414i | 0.423491 | − | 0.673981i | ||||
\(650\) | 682.132 | − | 682.132i | 1.04943 | − | 1.04943i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −10.4008 | − | 29.7237i | −0.0159521 | − | 0.0455885i | ||||
\(653\) | 459.623 | − | 160.829i | 0.703863 | − | 0.246292i | 0.0454690 | − | 0.998966i | \(-0.485522\pi\) |
0.658394 | + | 0.752673i | \(0.271236\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 810.136 | + | 810.136i | 1.23685 | + | 1.23685i | ||||
\(656\) | −1008.18 | − | 633.484i | −1.53687 | − | 0.965677i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 140.564 | − | 615.851i | 0.213623 | − | 0.935943i | ||||
\(659\) | −782.367 | + | 491.594i | −1.18720 | + | 0.745969i | −0.972997 | − | 0.230820i | \(-0.925859\pi\) |
−0.214206 | + | 0.976788i | \(0.568716\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −504.495 | − | 242.952i | −0.763229 | − | 0.367552i | 0.0114268 | − | 0.999935i | \(-0.496363\pi\) |
−0.774656 | + | 0.632383i | \(0.782077\pi\) | |||||||
\(662\) | −111.045 | + | 53.4767i | −0.167742 | + | 0.0807805i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 29.2591 | + | 3.29671i | 0.0440649 | + | 0.00496492i | ||||
\(665\) | −348.768 | + | 996.722i | −0.524463 | + | 1.49883i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −48.1895 | − | 656.109i | −0.0722482 | − | 0.983671i | ||||
\(668\) | −544.929 | −0.815762 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 73.6705 | − | 653.844i | 0.109956 | − | 0.975886i | ||||
\(671\) | 303.936 | + | 242.381i | 0.452960 | + | 0.361224i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −326.415 | + | 677.808i | −0.485015 | + | 1.00714i | 0.504594 | + | 0.863357i | \(0.331642\pi\) |
−0.989609 | + | 0.143787i | \(0.954072\pi\) | |||||||
\(674\) | −423.344 | − | 530.857i | −0.628107 | − | 0.787621i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −231.776 | − | 52.9013i | −0.342863 | − | 0.0782563i | ||||
\(677\) | −34.5918 | − | 307.011i | −0.0510957 | − | 0.453487i | −0.993045 | − | 0.117733i | \(-0.962437\pi\) |
0.941950 | − | 0.335754i | \(-0.108991\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −132.894 | + | 132.894i | −0.195721 | + | 0.195721i | ||||
\(680\) | −92.7893 | + | 21.1785i | −0.136455 | + | 0.0311449i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −99.5032 | + | 34.8177i | −0.145899 | + | 0.0510523i | ||||
\(683\) | 39.2932 | + | 172.155i | 0.0575304 | + | 0.252057i | 0.995513 | − | 0.0946254i | \(-0.0301653\pi\) |
−0.937983 | + | 0.346682i | \(0.887308\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 925.177 | + | 581.327i | 1.35062 | + | 0.848653i | ||||
\(686\) | 748.335 | − | 84.3171i | 1.09087 | − | 0.122911i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 89.4368 | − | 56.1969i | 0.129995 | − | 0.0816815i | ||||
\(689\) | −501.653 | + | 400.055i | −0.728089 | + | 0.580632i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −1218.08 | + | 586.597i | −1.76278 | + | 0.848910i | −0.791430 | + | 0.611260i | \(0.790663\pi\) |
−0.971351 | + | 0.237651i | \(0.923623\pi\) | |||||||
\(692\) | −80.1593 | + | 100.517i | −0.115837 | + | 0.145255i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 412.606 | − | 1179.16i | 0.594533 | − | 1.69908i | ||||
\(695\) | 394.991i | 0.568333i | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −135.345 | −0.194182 | ||||||||
\(698\) | −716.953 | − | 250.873i | −1.02715 | − | 0.359417i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −308.848 | − | 246.298i | −0.441211 | − | 0.351854i | ||||
\(701\) | 358.817 | + | 745.091i | 0.511865 | + | 1.06290i | 0.983467 | + | 0.181087i | \(0.0579615\pi\) |
−0.471602 | + | 0.881811i | \(0.656324\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 337.335 | + | 423.005i | 0.479851 | + | 0.601714i | ||||
\(704\) | −21.1712 | − | 33.6938i | −0.0300727 | − | 0.0478605i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −31.0366 | − | 275.457i | −0.0439611 | − | 0.390166i | ||||
\(707\) | −78.2899 | + | 124.598i | −0.110735 | + | 0.176234i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −149.080 | + | 34.0265i | −0.210268 | + | 0.0479923i | −0.326357 | − | 0.945246i | \(-0.605821\pi\) |
0.116089 | + | 0.993239i | \(0.462964\pi\) | |||||||
\(710\) | −127.866 | − | 365.420i | −0.180093 | − | 0.514676i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −21.9955 | − | 96.3688i | −0.0308926 | − | 0.135349i | ||||
\(713\) | 90.2386 | + | 90.2386i | 0.126562 | + | 0.126562i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 492.600 | − | 55.5027i | 0.688952 | − | 0.0776262i | ||||
\(716\) | 148.766 | − | 651.785i | 0.207773 | − | 0.910314i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 139.443 | − | 111.202i | 0.194210 | − | 0.154877i | ||||
\(719\) | −188.055 | − | 90.5627i | −0.261551 | − | 0.125957i | 0.298513 | − | 0.954406i | \(-0.403509\pi\) |
−0.560064 | + | 0.828449i | \(0.689224\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 182.226 | − | 228.504i | 0.252740 | − | 0.316926i | ||||
\(722\) | 1834.08 | + | 206.651i | 2.54028 | + | 0.286221i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | − | 617.362i | − | 0.852710i | ||||||
\(725\) | 1519.62 | + | 231.353i | 2.09603 | + | 0.319107i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 1244.50 | + | 435.470i | 1.71183 | + | 0.598996i | 0.995147 | − | 0.0984004i | \(-0.0313726\pi\) |
0.716686 | + | 0.697396i | \(0.245658\pi\) | |||||||
\(728\) | −14.0678 | + | 124.855i | −0.0193239 | + | 0.171505i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 298.490 | + | 619.822i | 0.408891 | + | 0.849071i | ||||
\(731\) | 5.20946 | − | 10.8176i | 0.00712648 | − | 0.0147983i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 63.1015 | + | 100.425i | 0.0860866 | + | 0.137006i | 0.886992 | − | 0.461785i | \(-0.152791\pi\) |
−0.800905 | + | 0.598791i | \(0.795648\pi\) | |||||||
\(734\) | 95.5271 | + | 21.8034i | 0.130146 | + | 0.0297050i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 365.950 | − | 582.406i | 0.497215 | − | 0.791313i | ||||
\(737\) | 162.458 | − | 162.458i | 0.220432 | − | 0.220432i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 235.151 | + | 672.023i | 0.318202 | + | 0.909369i | 0.986251 | + | 0.165252i | \(0.0528437\pi\) |
−0.668050 | + | 0.744117i | \(0.732871\pi\) | |||||||
\(740\) | −281.147 | + | 98.3776i | −0.379928 | + | 0.132943i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 543.681 | + | 543.681i | 0.732724 | + | 0.732724i | ||||
\(743\) | 1147.96 | + | 721.309i | 1.54503 | + | 0.970806i | 0.990326 | + | 0.138757i | \(0.0443107\pi\) |
0.554702 | + | 0.832049i | \(0.312832\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −232.852 | + | 1020.19i | −0.312552 | + | 1.36938i | ||||
\(746\) | −1046.59 | + | 657.618i | −1.40294 | + | 0.881526i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 32.3237 | + | 15.5663i | 0.0432135 | + | 0.0208105i | ||||
\(749\) | −50.5299 | + | 24.3339i | −0.0674632 | + | 0.0324885i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 601.896 | + | 67.8174i | 0.801460 | + | 0.0903028i | 0.503187 | − | 0.864178i | \(-0.332161\pi\) |
0.298273 | + | 0.954481i | \(0.403589\pi\) | |||||||
\(752\) | −471.492 | + | 1347.45i | −0.626984 | + | 1.79182i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 210.345 | + | 484.074i | 0.278972 | + | 0.642007i | ||||
\(755\) | −1614.68 | −2.13866 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −84.2696 | + | 747.913i | −0.111320 | + | 0.987997i | 0.806563 | + | 0.591148i | \(0.201325\pi\) |
−0.917884 | + | 0.396849i | \(0.870104\pi\) | |||||||
\(758\) | −606.015 | − | 483.281i | −0.799492 | − | 0.637574i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 605.287 | − | 1256.89i | 0.796431 | − | 1.65381i | ||||
\(761\) | 315.470 | + | 395.587i | 0.414547 | + | 0.519825i | 0.944638 | − | 0.328116i | \(-0.106414\pi\) |
−0.530091 | + | 0.847941i | \(0.677842\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −111.053 | − | 25.3472i | −0.145548 | − | 0.0332204i | ||||
\(764\) | 63.0415 | + | 559.509i | 0.0825150 | + | 0.732341i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −742.608 | + | 742.608i | −0.969463 | + | 0.969463i | ||||
\(767\) | 489.144 | − | 111.644i | 0.637736 | − | 0.145559i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −331.756 | + | 116.087i | −0.431413 | + | 0.150958i | −0.537245 | − | 0.843426i | \(-0.680535\pi\) |
0.105832 | + | 0.994384i | \(0.466249\pi\) | |||||||
\(770\) | −132.182 | − | 579.129i | −0.171665 | − | 0.752115i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 238.673 | + | 149.968i | 0.309161 | + | 0.194259i | ||||
\(773\) | 440.543 | − | 49.6373i | 0.569914 | − | 0.0642139i | 0.177695 | − | 0.984086i | \(-0.443136\pi\) |
0.392219 | + | 0.919872i | \(0.371707\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −252.474 | + | 158.640i | −0.325772 | + | 0.204696i | ||||
\(776\) | 194.119 | − | 154.804i | 0.250153 | − | 0.199490i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −35.1623 | + | 16.9332i | −0.0451957 | + | 0.0217651i | ||||
\(779\) | 1236.90 | − | 1551.03i | 1.58781 | − | 1.99105i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 44.6477 | − | 127.596i | 0.0571673 | − | 0.163375i | ||||
\(782\) | − | 127.093i | − | 0.162523i | ||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −722.156 | −0.921117 | ||||||||
\(785\) | −923.830 | − | 323.262i | −1.17685 | − | 0.411799i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −201.707 | − | 160.856i | −0.256298 | − | 0.204391i | 0.486908 | − | 0.873453i | \(-0.338125\pi\) |
−0.743206 | + | 0.669062i | \(0.766696\pi\) | |||||||
\(788\) | 102.899 | + | 213.673i | 0.130583 | + | 0.271158i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −609.867 | − | 764.748i | −0.771983 | − | 0.968036i | ||||
\(791\) | −154.105 | − | 245.257i | −0.194823 | − | 0.310059i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 42.2730 | + | 375.183i | 0.0533077 | + | 0.473119i | ||||
\(794\) | 331.979 | − | 528.342i | 0.418110 | − | 0.665418i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −162.571 | + | 37.1058i | −0.204235 | + | 0.0466153i | ||||
\(797\) | −410.768 | − | 1173.91i | −0.515393 | − | 1.47291i | −0.848079 | − | 0.529870i | \(-0.822241\pi\) |
0.332686 | − | 0.943038i | \(-0.392045\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 36.1085 | + | 158.202i | 0.0451921 | + | 0.197999i | ||||
\(800\) | 1136.41 | + | 1136.41i | 1.42052 | + | 1.42052i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 1088.34 | − | 122.626i | 1.35703 | − | 0.152900i | ||||
\(803\) | −53.4529 | + | 234.193i | −0.0665665 | + | 0.291647i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −562.217 | + | 448.353i | −0.698407 | + | 0.556961i | ||||
\(806\) | −92.2448 | − | 44.4227i | −0.114448 | − | 0.0551151i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 121.208 | − | 151.990i | 0.150009 | − | 0.188106i | ||||
\(809\) | 578.014 | + | 65.1265i | 0.714480 | + | 0.0805025i | 0.461719 | − | 0.887026i | \(-0.347233\pi\) |
0.252761 | + | 0.967529i | \(0.418661\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 316.853i | − | 0.390694i | −0.980734 | − | 0.195347i | \(-0.937417\pi\) | ||
0.980734 | − | 0.195347i | \(-0.0625833\pi\) | |||||||
\(812\) | 187.335 | − | 107.787i | 0.230708 | − | 0.132743i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −287.275 | − | 100.522i | −0.352918 | − | 0.123491i | ||||
\(815\) | 14.9966 | − | 133.098i | 0.0184007 | − | 0.163311i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 76.3582 | + | 158.559i | 0.0934617 | + | 0.194075i | ||||
\(818\) | −576.505 | + | 1197.12i | −0.704774 | + | 1.46348i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 581.067 | + | 924.762i | 0.708618 | + | 1.12776i | ||||
\(821\) | 809.855 | + | 184.844i | 0.986425 | + | 0.225145i | 0.685158 | − | 0.728395i | \(-0.259733\pi\) |
0.301267 | + | 0.953540i | \(0.402590\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 158.294 | − | 251.923i | 0.192337 | − | 0.306103i | −0.736608 | − | 0.676320i | \(-0.763574\pi\) |
0.928945 | + | 0.370217i | \(0.120717\pi\) | |||||||
\(824\) | −273.022 | + | 273.022i | −0.331337 | + | 0.331337i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −198.570 | − | 567.480i | −0.240399 | − | 0.687022i | ||||
\(827\) | −893.953 | + | 312.808i | −1.08096 | + | 0.378244i | −0.811251 | − | 0.584699i | \(-0.801213\pi\) |
−0.269708 | + | 0.962942i | \(0.586927\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −1036.72 | − | 1036.72i | −1.25057 | − | 1.25057i | −0.955465 | − | 0.295104i | \(-0.904646\pi\) |
−0.295104 | − | 0.955465i | \(-0.595354\pi\) | |||||||
\(830\) | −114.475 | − | 71.9295i | −0.137922 | − | 0.0866620i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 8.59987 | − | 37.6785i | 0.0103364 | − | 0.0452866i | ||||
\(833\) | −69.5053 | + | 43.6731i | −0.0834397 | + | 0.0524286i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −2088.22 | − | 1005.63i | −2.50086 | − | 1.20435i | ||||
\(836\) | −473.788 | + | 228.164i | −0.566732 | + | 0.272924i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 1075.94 | + | 121.230i | 1.28394 | + | 0.144666i | ||||
\(839\) | −12.6413 | + | 36.1268i | −0.0150671 | + | 0.0430593i | −0.951171 | − | 0.308663i | \(-0.900118\pi\) |
0.936104 | + | 0.351723i | \(0.114404\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −422.660 | + | 727.076i | −0.502568 | + | 0.864538i | ||||
\(842\) | 1924.72 | 2.28589 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 14.9247 | − | 132.460i | 0.0176833 | − | 0.156944i | ||||
\(845\) | −790.561 | − | 630.451i | −0.935575 | − | 0.746096i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −98.4321 | + | 204.396i | −0.116213 | + | 0.241318i | ||||
\(848\) | −1083.38 | − | 1358.51i | −1.27757 | − | 1.60202i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 289.508 | + | 66.0782i | 0.340597 | + | 0.0777391i | ||||
\(851\) | 41.2523 | + | 366.124i | 0.0484751 | + | 0.430228i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 381.669 | − | 381.669i | 0.447443 | − | 0.447443i | −0.447060 | − | 0.894504i | \(-0.647529\pi\) |
0.894504 | + | 0.447060i | \(0.147529\pi\) | |||||||
\(854\) | 441.086 | − | 100.675i | 0.516495 | − | 0.117887i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 69.9342 | − | 24.4710i | 0.0816988 | − | 0.0285876i | ||||
\(857\) | 209.189 | + | 916.515i | 0.244094 | + | 1.06945i | 0.937250 | + | 0.348658i | \(0.113363\pi\) |
−0.693156 | + | 0.720788i | \(0.743780\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −1335.81 | − | 839.347i | −1.55508 | − | 0.977121i | −0.988174 | − | 0.153338i | \(-0.950998\pi\) |
−0.566905 | − | 0.823783i | \(-0.691859\pi\) | |||||||
\(860\) | −96.2776 | + | 10.8479i | −0.111951 | + | 0.0126138i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −1593.50 | + | 1001.26i | −1.84861 | + | 1.16156i | ||||
\(863\) | −465.366 | + | 371.117i | −0.539243 | + | 0.430032i | −0.854863 | − | 0.518854i | \(-0.826359\pi\) |
0.315620 | + | 0.948886i | \(0.397787\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −492.676 | + | 237.260i | −0.569567 | + | 0.274289i | ||||
\(866\) | −428.044 | + | 536.751i | −0.494277 | + | 0.619804i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −13.8472 | + | 39.5729i | −0.0159530 | + | 0.0455909i | ||||
\(869\) | − | 341.546i | − | 0.393033i | ||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 223.136 | 0.256184 | ||||||||
\(872\) | 142.040 | + | 49.7018i | 0.162889 | + | 0.0569975i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 1456.45 | + | 1161.48i | 1.66642 | + | 1.32893i | ||||
\(875\) | −385.165 | − | 799.803i | −0.440188 | − | 0.914060i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 146.391 | + | 183.569i | 0.166923 | + | 0.209315i | 0.858256 | − | 0.513221i | \(-0.171548\pi\) |
−0.691334 | + | 0.722536i | \(0.742976\pi\) | |||||||
\(878\) | −196.164 | − | 312.194i | −0.223422 | − | 0.355574i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 150.305 | + | 1333.99i | 0.170801 | + | 1.51590i | ||||
\(881\) | −342.549 | + | 545.164i | −0.388818 | + | 0.618801i | −0.982580 | − | 0.185840i | \(-0.940499\pi\) |
0.593762 | + | 0.804641i | \(0.297642\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 1021.02 | − | 233.042i | 1.15631 | − | 0.263921i | 0.398985 | − | 0.916957i | \(-0.369362\pi\) |
0.757326 | + | 0.653037i | \(0.226505\pi\) | |||||||
\(884\) | 11.5082 | + | 32.8884i | 0.0130183 | + | 0.0372041i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 404.031 | + | 1770.18i | 0.456017 | + | 1.99794i | ||||
\(887\) | −613.993 | − | 613.993i | −0.692213 | − | 0.692213i | 0.270506 | − | 0.962718i | \(-0.412809\pi\) |
−0.962718 | + | 0.270506i | \(0.912809\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −318.440 | + | 35.8796i | −0.358200 | + | 0.0403595i | ||||
\(890\) | −100.996 | + | 442.492i | −0.113479 | + | 0.497182i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −343.364 | + | 273.824i | −0.384938 | + | 0.306977i | ||||
\(893\) | −2142.95 | − | 1031.99i | −2.39971 | − | 1.15564i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 1772.91 | − | 2223.16i | 1.98091 | − | 2.48398i | ||||
\(896\) | −478.578 | − | 53.9228i | −0.534127 | − | 0.0601817i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 182.473i | 0.203200i | ||||||||
\(899\) | −30.0916 | − | 160.340i | −0.0334723 | − | 0.178354i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −186.429 | − | 65.2342i | −0.206913 | − | 0.0724020i | ||||
\(902\) | −124.949 | + | 1108.95i | −0.138524 | + | 1.22944i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 166.030 | + | 344.764i | 0.183661 | + | 0.381376i | ||||
\(905\) | 1139.30 | − | 2365.79i | 1.25890 | − | 2.61413i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 758.621 | + | 1207.34i | 0.836407 | + | 1.33113i | 0.941617 | + | 0.336685i | \(0.109306\pi\) |
−0.105210 | + | 0.994450i | \(0.533552\pi\) | |||||||
\(908\) | −621.566 | − | 141.868i | −0.684545 | − | 0.156243i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 306.940 | − | 488.493i | 0.337297 | − | 0.536805i | ||||
\(911\) | −256.863 | + | 256.863i | −0.281957 | + | 0.281957i | −0.833889 | − | 0.551932i | \(-0.813891\pi\) |
0.551932 | + | 0.833889i | \(0.313891\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −15.5917 | − | 44.5585i | −0.0170774 | − | 0.0488045i | ||||
\(914\) | 1838.16 | − | 643.200i | 2.01112 | − | 0.703720i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 126.732 | + | 126.732i | 0.138353 | + | 0.138353i | ||||
\(917\) | 394.222 | + | 247.706i | 0.429904 | + | 0.270126i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 101.413 | − | 444.317i | 0.110351 | − | 0.483479i | −0.889307 | − | 0.457311i | \(-0.848812\pi\) |
0.999658 | − | 0.0261677i | \(-0.00833038\pi\) | |||||||
\(920\) | 804.388 | − | 505.430i | 0.874335 | − | 0.549381i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −992.384 | − | 477.907i | −1.07634 | − | 0.518337i | ||||
\(923\) | 118.288 | − | 56.9645i | 0.128156 | − | 0.0617167i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −855.451 | − | 96.3862i | −0.924812 | − | 0.104201i | ||||
\(926\) | 419.335 | − | 1198.39i | 0.452846 | − | 1.29416i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −806.452 | + | 350.428i | −0.869022 | + | 0.377616i | ||||
\(929\) | −358.064 | −0.385429 | −0.192715 | − | 0.981255i | \(-0.561729\pi\) | ||||
−0.192715 | + | 0.981255i | \(0.561729\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 134.716 | − | 1195.64i | 0.144700 | − | 1.28425i | ||||
\(932\) | 230.370 | + | 183.714i | 0.247178 | + | 0.197118i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −594.639 | + | 1234.78i | −0.636658 | + | 1.32203i | ||||
\(935\) | 95.1409 | + | 119.303i | 0.101755 | + | 0.127597i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 1623.44 | + | 370.539i | 1.73259 | + | 0.395452i | 0.968373 | − | 0.249507i | \(-0.0802685\pi\) |
0.764217 | + | 0.644959i | \(0.223126\pi\) | |||||||
\(938\) | −29.9377 | − | 265.705i | −0.0319166 | − | 0.283267i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 925.910 | − | 925.910i | 0.985011 | − | 0.985011i | ||||
\(941\) | −1055.19 | + | 240.841i | −1.12135 | + | 0.255941i | −0.742717 | − | 0.669605i | \(-0.766463\pi\) |
−0.378634 | + | 0.925546i | \(0.623606\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 1275.14 | − | 446.192i | 1.35222 | − | 0.473163i | ||||
\(944\) | 302.339 | + | 1324.63i | 0.320274 | + | 1.40321i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −83.8245 | − | 52.6704i | −0.0886094 | − | 0.0556770i | ||||
\(947\) | 425.484 | − | 47.9406i | 0.449297 | − | 0.0506236i | 0.115583 | − | 0.993298i | \(-0.463126\pi\) |
0.333714 | + | 0.942674i | \(0.391698\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −197.540 | + | 124.123i | −0.208156 | + | 0.130793i | ||||
\(950\) | −3403.01 | + | 2713.81i | −3.58212 | + | 2.85664i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −34.8466 | + | 16.7812i | −0.0366036 | + | 0.0176274i | ||||
\(953\) | 385.015 | − | 482.793i | 0.404003 | − | 0.506604i | −0.537660 | − | 0.843162i | \(-0.680691\pi\) |
0.941663 | + | 0.336558i | \(0.109263\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −790.959 | + | 2260.43i | −0.828229 | + | 2.36694i | ||||
\(956\) | − | 288.330i | − | 0.301600i | ||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −124.690 | −0.130156 | ||||||||
\(959\) | 419.109 | + | 146.652i | 0.437027 | + | 0.152922i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −726.598 | − | 579.443i | −0.756085 | − | 0.602958i | ||||
\(962\) | −128.253 | − | 266.319i | −0.133319 | − | 0.276839i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −237.446 | − | 297.748i | −0.246313 | − | 0.308867i | ||||
\(965\) | 637.860 | + | 1015.15i | 0.660994 | + | 1.05197i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 68.8333 | + | 610.913i | 0.0711823 | + | 0.631761i | 0.977761 | + | 0.209723i | \(0.0672563\pi\) |
−0.906578 | + | 0.422037i | \(0.861315\pi\) | |||||||
\(968\) | 159.453 | − | 253.769i | 0.164725 | − | 0.262158i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −1111.46 | + | 253.684i | −1.14584 | + | 0.261530i | ||||
\(971\) | −15.0755 | − | 43.0834i | −0.0155258 | − | 0.0443701i | 0.935860 | − | 0.352373i | \(-0.114625\pi\) |
−0.951385 | + | 0.308003i | \(0.900339\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 35.7177 | + | 156.490i | 0.0367089 | + | 0.160832i | ||||
\(974\) | 1093.76 | + | 1093.76i | 1.12296 | + | 1.12296i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −1016.02 | + | 114.478i | −1.04100 | + | 0.117293i | ||||
\(977\) | −57.8695 | + | 253.543i | −0.0592318 | + | 0.259512i | −0.995870 | − | 0.0907855i | \(-0.971062\pi\) |
0.936639 | + | 0.350297i | \(0.113919\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −123.905 | + | 98.8111i | −0.126563 | + | 0.100931i | ||||
\(980\) | 596.803 | + | 287.405i | 0.608983 | + | 0.293271i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 991.536 | − | 1243.35i | 1.00971 | − | 1.26614i | ||||
\(983\) | 1059.25 | + | 119.349i | 1.07757 | + | 0.121413i | 0.632863 | − | 0.774263i | \(-0.281879\pi\) |
0.444706 | + | 0.895676i | \(0.353308\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 1008.71i | 1.02407i | ||||||||
\(986\) | −91.7216 | + | 134.103i | −0.0930239 | + | 0.136007i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −482.065 | − | 168.682i | −0.487920 | − | 0.170731i | ||||
\(989\) | −13.4183 | + | 119.091i | −0.0135676 | + | 0.120415i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −491.742 | − | 1021.11i | −0.496207 | − | 1.03039i | −0.987239 | − | 0.159244i | \(-0.949094\pi\) |
0.491032 | − | 0.871142i | \(-0.336620\pi\) | |||||||
\(992\) | 74.0070 | − | 153.677i | 0.0746038 | − | 0.154916i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −83.7023 | − | 133.211i | −0.0842076 | − | 0.134016i | ||||
\(995\) | −691.465 | − | 157.822i | −0.694940 | − | 0.158615i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 717.538 | − | 1141.96i | 0.719697 | − | 1.14539i | −0.263819 | − | 0.964572i | \(-0.584982\pi\) |
0.983516 | − | 0.180820i | \(-0.0578750\pi\) | |||||||
\(998\) | 237.884 | − | 237.884i | 0.238360 | − | 0.238360i | ||||
\(999\) | 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 | 261.3.s.a.37.4 | 48 | ||
3.2 | odd | 2 | 29.3.f.a.8.1 | ✓ | 48 | ||
29.11 | odd | 28 | inner | 261.3.s.a.127.4 | 48 | ||
87.11 | even | 28 | 29.3.f.a.11.1 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
29.3.f.a.8.1 | ✓ | 48 | 3.2 | odd | 2 | ||
29.3.f.a.11.1 | yes | 48 | 87.11 | even | 28 | ||
261.3.s.a.37.4 | 48 | 1.1 | even | 1 | trivial | ||
261.3.s.a.127.4 | 48 | 29.11 | odd | 28 | inner |