Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,3,Mod(7,201)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(201, base_ring=CyclotomicField(66))
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("201.7");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.n (of order \(66\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.47685331364\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 13.8 | ||
Character | \(\chi\) | \(=\) | 201.13 |
Dual form | 201.3.n.b.31.8 |
$q$-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 \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{19}{66}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.774122 | + | 0.984377i | 0.387061 | + | 0.492188i | 0.940067 | − | 0.340989i | \(-0.110762\pi\) |
−0.553006 | + | 0.833177i | \(0.686519\pi\) | |||||||
\(3\) | −1.30900 | − | 1.13425i | −0.436332 | − | 0.378084i | ||||
\(4\) | 0.573304 | − | 2.36319i | 0.143326 | − | 0.590798i | ||||
\(5\) | −3.17987 | − | 4.94798i | −0.635975 | − | 0.989596i | −0.998342 | − | 0.0575605i | \(-0.981668\pi\) |
0.362367 | − | 0.932035i | \(-0.381969\pi\) | |||||||
\(6\) | 0.103208 | − | 2.16660i | 0.0172013 | − | 0.361099i | ||||
\(7\) | −3.85408 | + | 9.62704i | −0.550583 | + | 1.37529i | 0.348416 | + | 0.937340i | \(0.386720\pi\) |
−0.898999 | + | 0.437951i | \(0.855704\pi\) | |||||||
\(8\) | 7.32662 | − | 3.34595i | 0.915827 | − | 0.418244i | ||||
\(9\) | 0.426945 | + | 2.96946i | 0.0474383 | + | 0.329940i | ||||
\(10\) | 2.40906 | − | 6.96053i | 0.240906 | − | 0.696053i | ||||
\(11\) | −18.9185 | + | 0.901198i | −1.71986 | + | 0.0819271i | −0.884139 | − | 0.467224i | \(-0.845254\pi\) |
−0.835723 | + | 0.549151i | \(0.814951\pi\) | |||||||
\(12\) | −3.43091 | + | 2.44314i | −0.285909 | + | 0.203595i | ||||
\(13\) | −1.50548 | − | 15.7661i | −0.115806 | − | 1.21278i | −0.847370 | − | 0.531003i | \(-0.821815\pi\) |
0.731564 | − | 0.681773i | \(-0.238791\pi\) | |||||||
\(14\) | −12.4602 | + | 3.65863i | −0.890012 | + | 0.261331i | ||||
\(15\) | −1.44981 | + | 10.0837i | −0.0966541 | + | 0.672244i | ||||
\(16\) | 0.319719 | + | 0.164827i | 0.0199824 | + | 0.0103017i | ||||
\(17\) | −2.92808 | − | 12.0697i | −0.172240 | − | 0.709982i | −0.990774 | − | 0.135524i | \(-0.956728\pi\) |
0.818534 | − | 0.574458i | \(-0.194787\pi\) | |||||||
\(18\) | −2.59256 | + | 2.71900i | −0.144031 | + | 0.151056i | ||||
\(19\) | −32.6822 | + | 13.0840i | −1.72012 | + | 0.688630i | −0.999986 | − | 0.00520956i | \(-0.998342\pi\) |
−0.720129 | + | 0.693840i | \(0.755917\pi\) | |||||||
\(20\) | −13.5160 | + | 4.67795i | −0.675802 | + | 0.233898i | ||||
\(21\) | 15.9645 | − | 8.23026i | 0.760213 | − | 0.391917i | ||||
\(22\) | −15.5323 | − | 17.9253i | −0.706015 | − | 0.814785i | ||||
\(23\) | 23.9924 | + | 4.62415i | 1.04315 | + | 0.201050i | 0.681919 | − | 0.731428i | \(-0.261146\pi\) |
0.361227 | + | 0.932478i | \(0.382358\pi\) | |||||||
\(24\) | −13.3857 | − | 3.93039i | −0.557736 | − | 0.163766i | ||||
\(25\) | −3.98553 | + | 8.72709i | −0.159421 | + | 0.349084i | ||||
\(26\) | 14.3544 | − | 13.6868i | 0.552090 | − | 0.526417i | ||||
\(27\) | 2.80925 | − | 4.37128i | 0.104046 | − | 0.161899i | ||||
\(28\) | 20.5410 | + | 14.6272i | 0.733606 | + | 0.522398i | ||||
\(29\) | 26.6148 | − | 46.0982i | 0.917752 | − | 1.58959i | 0.114931 | − | 0.993373i | \(-0.463335\pi\) |
0.802821 | − | 0.596220i | \(-0.203331\pi\) | |||||||
\(30\) | −11.0485 | + | 6.37883i | −0.368282 | + | 0.212628i | ||||
\(31\) | −2.04871 | + | 21.4550i | −0.0660874 | + | 0.692098i | 0.900345 | + | 0.435177i | \(0.143314\pi\) |
−0.966432 | + | 0.256921i | \(0.917292\pi\) | |||||||
\(32\) | −6.01203 | − | 31.1934i | −0.187876 | − | 0.974794i | ||||
\(33\) | 25.7864 | + | 20.2787i | 0.781406 | + | 0.614505i | ||||
\(34\) | 9.61444 | − | 12.2258i | 0.282778 | − | 0.359581i | ||||
\(35\) | 59.8899 | − | 11.5428i | 1.71114 | − | 0.329795i | ||||
\(36\) | 7.26218 | + | 0.693454i | 0.201727 | + | 0.0192626i | ||||
\(37\) | 6.85823 | + | 11.8788i | 0.185357 | + | 0.321049i | 0.943697 | − | 0.330811i | \(-0.107322\pi\) |
−0.758339 | + | 0.651860i | \(0.773989\pi\) | |||||||
\(38\) | −38.1796 | − | 22.0430i | −1.00473 | − | 0.580079i | ||||
\(39\) | −15.9121 | + | 22.3454i | −0.408002 | + | 0.572958i | ||||
\(40\) | −39.8534 | − | 25.6122i | −0.996335 | − | 0.640306i | ||||
\(41\) | −6.66911 | − | 6.99436i | −0.162661 | − | 0.170594i | 0.637359 | − | 0.770567i | \(-0.280027\pi\) |
−0.800021 | + | 0.599972i | \(0.795178\pi\) | |||||||
\(42\) | 20.4601 | + | 9.34383i | 0.487146 | + | 0.222472i | ||||
\(43\) | −0.121864 | + | 0.415032i | −0.00283405 | + | 0.00965190i | −0.960898 | − | 0.276903i | \(-0.910692\pi\) |
0.958064 | + | 0.286555i | \(0.0925101\pi\) | |||||||
\(44\) | −8.71633 | + | 45.2246i | −0.198098 | + | 1.02783i | ||||
\(45\) | 13.3352 | − | 11.5550i | 0.296338 | − | 0.256778i | ||||
\(46\) | 14.0211 | + | 27.1972i | 0.304807 | + | 0.591243i | ||||
\(47\) | −7.71877 | − | 22.3019i | −0.164229 | − | 0.474509i | 0.832619 | − | 0.553847i | \(-0.186841\pi\) |
−0.996848 | + | 0.0793377i | \(0.974719\pi\) | |||||||
\(48\) | −0.231556 | − | 0.578399i | −0.00482409 | − | 0.0120500i | ||||
\(49\) | −42.3629 | − | 40.3929i | −0.864549 | − | 0.824346i | ||||
\(50\) | −11.6760 | + | 2.83257i | −0.233521 | + | 0.0566515i | ||||
\(51\) | −9.85724 | + | 19.1204i | −0.193279 | + | 0.374909i | ||||
\(52\) | −38.1214 | − | 5.48103i | −0.733104 | − | 0.105404i | ||||
\(53\) | 15.8666 | + | 54.0365i | 0.299369 | + | 1.01956i | 0.962551 | + | 0.271099i | \(0.0873872\pi\) |
−0.663182 | + | 0.748458i | \(0.730795\pi\) | |||||||
\(54\) | 6.47769 | − | 0.618545i | 0.119957 | − | 0.0114545i | ||||
\(55\) | 64.6175 | + | 90.7425i | 1.17486 | + | 1.64986i | ||||
\(56\) | 3.97422 | + | 83.4292i | 0.0709683 | + | 1.48981i | ||||
\(57\) | 57.6214 | + | 19.9430i | 1.01090 | + | 0.349877i | ||||
\(58\) | 65.9811 | − | 9.48665i | 1.13761 | − | 0.163563i | ||||
\(59\) | −26.4686 | − | 57.9582i | −0.448621 | − | 0.982343i | −0.989935 | − | 0.141523i | \(-0.954800\pi\) |
0.541314 | − | 0.840821i | \(-0.317927\pi\) | |||||||
\(60\) | 22.9984 | + | 9.20719i | 0.383307 | + | 0.153453i | ||||
\(61\) | 63.1174 | + | 3.00665i | 1.03471 | + | 0.0492893i | 0.558058 | − | 0.829802i | \(-0.311547\pi\) |
0.476653 | + | 0.879092i | \(0.341850\pi\) | |||||||
\(62\) | −22.7058 | + | 14.5921i | −0.366222 | + | 0.235357i | ||||
\(63\) | −30.2326 | − | 7.33435i | −0.479883 | − | 0.116418i | ||||
\(64\) | 26.9942 | − | 31.1530i | 0.421785 | − | 0.486766i | ||||
\(65\) | −73.2231 | + | 57.5833i | −1.12651 | + | 0.885896i | ||||
\(66\) | 41.0817i | 0.622450i | ||||||||
\(67\) | −0.458723 | − | 66.9984i | −0.00684661 | − | 0.999977i | ||||
\(68\) | −30.2017 | −0.444142 | ||||||||
\(69\) | −26.1610 | − | 33.2664i | −0.379144 | − | 0.482121i | ||||
\(70\) | 57.7246 | + | 50.0186i | 0.824637 | + | 0.714552i | ||||
\(71\) | 17.9494 | − | 73.9885i | 0.252809 | − | 1.04209i | −0.693918 | − | 0.720054i | \(-0.744117\pi\) |
0.946727 | − | 0.322038i | \(-0.104368\pi\) | |||||||
\(72\) | 13.0637 | + | 20.3276i | 0.181441 | + | 0.282328i | ||||
\(73\) | −1.42778 | + | 29.9728i | −0.0195586 | + | 0.410586i | 0.967764 | + | 0.251859i | \(0.0810420\pi\) |
−0.987323 | + | 0.158727i | \(0.949261\pi\) | |||||||
\(74\) | −6.38410 | + | 15.9467i | −0.0862717 | + | 0.215496i | ||||
\(75\) | 15.1158 | − | 6.90314i | 0.201544 | − | 0.0920418i | ||||
\(76\) | 12.1831 | + | 84.7353i | 0.160304 | + | 1.11494i | ||||
\(77\) | 64.2375 | − | 185.602i | 0.834254 | − | 2.41042i | ||||
\(78\) | −34.3141 | + | 1.63458i | −0.439925 | + | 0.0209562i | ||||
\(79\) | 2.01834 | − | 1.43725i | 0.0255486 | − | 0.0181931i | −0.567211 | − | 0.823572i | \(-0.691978\pi\) |
0.592760 | + | 0.805379i | \(0.298038\pi\) | |||||||
\(80\) | −0.201107 | − | 2.10609i | −0.00251384 | − | 0.0263261i | ||||
\(81\) | −8.63544 | + | 2.53559i | −0.106610 | + | 0.0313036i | ||||
\(82\) | 1.72238 | − | 11.9794i | 0.0210046 | − | 0.146090i | ||||
\(83\) | −29.1411 | − | 15.0233i | −0.351098 | − | 0.181004i | 0.273651 | − | 0.961829i | \(-0.411769\pi\) |
−0.624749 | + | 0.780825i | \(0.714799\pi\) | |||||||
\(84\) | −10.2972 | − | 42.4455i | −0.122585 | − | 0.505304i | ||||
\(85\) | −50.4097 | + | 52.8682i | −0.593055 | + | 0.621979i | ||||
\(86\) | −0.502886 | + | 0.201325i | −0.00584751 | + | 0.00234099i | ||||
\(87\) | −87.1257 | + | 30.1545i | −1.00144 | + | 0.346603i | ||||
\(88\) | −135.593 | + | 69.9031i | −1.54083 | + | 0.794353i | ||||
\(89\) | −0.441002 | − | 0.508943i | −0.00495508 | − | 0.00571846i | 0.753267 | − | 0.657715i | \(-0.228477\pi\) |
−0.758222 | + | 0.651997i | \(0.773932\pi\) | |||||||
\(90\) | 21.6976 | + | 4.18187i | 0.241084 | + | 0.0464652i | ||||
\(91\) | 157.583 | + | 46.2706i | 1.73168 | + | 0.508468i | ||||
\(92\) | 24.6826 | − | 54.0475i | 0.268290 | − | 0.587472i | ||||
\(93\) | 27.0172 | − | 25.7608i | 0.290507 | − | 0.276998i | ||||
\(94\) | 15.9782 | − | 24.8626i | 0.169981 | − | 0.264496i | ||||
\(95\) | 168.664 | + | 120.105i | 1.77542 | + | 1.26427i | ||||
\(96\) | −27.5114 | + | 47.6512i | −0.286578 | + | 0.496367i | ||||
\(97\) | −99.8564 | + | 57.6521i | −1.02945 | + | 0.594352i | −0.916826 | − | 0.399286i | \(-0.869258\pi\) |
−0.112621 | + | 0.993638i | \(0.535925\pi\) | |||||||
\(98\) | 6.96780 | − | 72.9701i | 0.0711000 | − | 0.744593i | ||||
\(99\) | −10.7532 | − | 55.7930i | −0.108618 | − | 0.563566i | ||||
\(100\) | 18.3389 | + | 14.4218i | 0.183389 | + | 0.144218i | ||||
\(101\) | 1.22608 | − | 1.55909i | 0.0121394 | − | 0.0154365i | −0.779945 | − | 0.625847i | \(-0.784753\pi\) |
0.792085 | + | 0.610411i | \(0.208996\pi\) | |||||||
\(102\) | −26.4524 | + | 5.09827i | −0.259337 | + | 0.0499831i | ||||
\(103\) | −64.0998 | − | 6.12079i | −0.622328 | − | 0.0594251i | −0.220871 | − | 0.975303i | \(-0.570890\pi\) |
−0.401457 | + | 0.915878i | \(0.631496\pi\) | |||||||
\(104\) | −63.7827 | − | 110.475i | −0.613295 | − | 1.06226i | ||||
\(105\) | −91.4881 | − | 52.8207i | −0.871315 | − | 0.503054i | ||||
\(106\) | −40.9096 | + | 57.4496i | −0.385940 | + | 0.541977i | ||||
\(107\) | 34.7386 | + | 22.3252i | 0.324660 | + | 0.208646i | 0.692810 | − | 0.721120i | \(-0.256372\pi\) |
−0.368150 | + | 0.929766i | \(0.620009\pi\) | |||||||
\(108\) | −8.71962 | − | 9.14487i | −0.0807372 | − | 0.0846747i | ||||
\(109\) | 189.178 | + | 86.3946i | 1.73558 | + | 0.792611i | 0.992334 | + | 0.123587i | \(0.0394399\pi\) |
0.743241 | + | 0.669023i | \(0.233287\pi\) | |||||||
\(110\) | −39.3030 | + | 133.854i | −0.357300 | + | 1.21685i | ||||
\(111\) | 4.49615 | − | 23.3283i | 0.0405059 | − | 0.210165i | ||||
\(112\) | −2.81902 | + | 2.44269i | −0.0251698 | + | 0.0218097i | ||||
\(113\) | −44.7683 | − | 86.8384i | −0.396180 | − | 0.768482i | 0.603401 | − | 0.797438i | \(-0.293812\pi\) |
−0.999581 | + | 0.0289564i | \(0.990782\pi\) | |||||||
\(114\) | 24.9746 | + | 72.1595i | 0.219076 | + | 0.632978i | ||||
\(115\) | −53.4125 | − | 133.418i | −0.464456 | − | 1.16016i | ||||
\(116\) | −93.6805 | − | 89.3241i | −0.807590 | − | 0.770036i | ||||
\(117\) | 46.1741 | − | 11.2017i | 0.394650 | − | 0.0957412i | ||||
\(118\) | 36.5628 | − | 70.9219i | 0.309854 | − | 0.601033i | ||||
\(119\) | 127.480 | + | 18.3289i | 1.07126 | + | 0.154025i | ||||
\(120\) | 23.1173 | + | 78.7302i | 0.192644 | + | 0.656085i | ||||
\(121\) | 236.645 | − | 22.5968i | 1.95574 | − | 0.186751i | ||||
\(122\) | 45.9009 | + | 64.4588i | 0.376237 | + | 0.528351i | ||||
\(123\) | 0.796474 | + | 16.7200i | 0.00647540 | + | 0.135935i | ||||
\(124\) | 49.5278 | + | 17.1417i | 0.399418 | + | 0.138240i | ||||
\(125\) | −89.6902 | + | 12.8955i | −0.717522 | + | 0.103164i | ||||
\(126\) | −16.1840 | − | 35.4380i | −0.128444 | − | 0.281254i | ||||
\(127\) | −199.113 | − | 79.7127i | −1.56782 | − | 0.627659i | −0.584800 | − | 0.811177i | \(-0.698827\pi\) |
−0.983016 | + | 0.183518i | \(0.941251\pi\) | |||||||
\(128\) | −75.3629 | − | 3.58998i | −0.588772 | − | 0.0280467i | ||||
\(129\) | 0.630271 | − | 0.405050i | 0.00488582 | − | 0.00313993i | ||||
\(130\) | −113.367 | − | 27.5026i | −0.872056 | − | 0.211558i | ||||
\(131\) | 47.6477 | − | 54.9884i | 0.363723 | − | 0.419759i | −0.544160 | − | 0.838981i | \(-0.683152\pi\) |
0.907884 | + | 0.419222i | \(0.137697\pi\) | |||||||
\(132\) | 62.7058 | − | 49.3124i | 0.475044 | − | 0.373579i | ||||
\(133\) | − | 365.059i | − | 2.74481i | ||||||
\(134\) | 65.5966 | − | 52.3165i | 0.489527 | − | 0.390422i | ||||
\(135\) | −30.5621 | −0.226386 | ||||||||
\(136\) | −61.8375 | − | 78.6328i | −0.454688 | − | 0.578183i | ||||
\(137\) | 21.5607 | + | 18.6825i | 0.157378 | + | 0.136369i | 0.729990 | − | 0.683458i | \(-0.239525\pi\) |
−0.572613 | + | 0.819826i | \(0.694070\pi\) | |||||||
\(138\) | 12.4949 | − | 51.5045i | 0.0905424 | − | 0.373221i | ||||
\(139\) | −1.13367 | − | 1.76402i | −0.00815588 | − | 0.0126908i | 0.837152 | − | 0.546971i | \(-0.184219\pi\) |
−0.845308 | + | 0.534280i | \(0.820583\pi\) | |||||||
\(140\) | 7.05719 | − | 148.149i | 0.0504085 | − | 1.05821i | ||||
\(141\) | −15.1922 | + | 37.9482i | −0.107746 | + | 0.269136i | ||||
\(142\) | 86.7276 | − | 39.6072i | 0.610758 | − | 0.278924i | ||||
\(143\) | 42.6898 | + | 296.914i | 0.298530 | + | 2.07632i | ||||
\(144\) | −0.352944 | + | 1.01977i | −0.00245100 | + | 0.00708171i | ||||
\(145\) | −312.725 | + | 14.8969i | −2.15672 | + | 0.102737i | ||||
\(146\) | −30.6098 | + | 21.7971i | −0.209656 | + | 0.149295i | ||||
\(147\) | 9.63712 | + | 100.924i | 0.0655586 | + | 0.686561i | ||||
\(148\) | 32.0037 | − | 9.39713i | 0.216241 | − | 0.0634942i | ||||
\(149\) | −16.0519 | + | 111.643i | −0.107731 | + | 0.749283i | 0.862317 | + | 0.506369i | \(0.169013\pi\) |
−0.970048 | + | 0.242914i | \(0.921897\pi\) | |||||||
\(150\) | 18.4967 | + | 9.53573i | 0.123312 | + | 0.0635715i | ||||
\(151\) | 52.4028 | + | 216.007i | 0.347039 | + | 1.43051i | 0.831414 | + | 0.555653i | \(0.187532\pi\) |
−0.484376 | + | 0.874860i | \(0.660953\pi\) | |||||||
\(152\) | −195.672 | + | 205.214i | −1.28731 | + | 1.35009i | ||||
\(153\) | 34.5904 | − | 13.8479i | 0.226081 | − | 0.0905092i | ||||
\(154\) | 232.430 | − | 80.4449i | 1.50929 | − | 0.522369i | ||||
\(155\) | 112.674 | − | 58.0873i | 0.726927 | − | 0.374757i | ||||
\(156\) | 43.6839 | + | 50.4139i | 0.280025 | + | 0.323166i | ||||
\(157\) | −299.175 | − | 57.6613i | −1.90558 | − | 0.367270i | −0.907025 | − | 0.421077i | \(-0.861652\pi\) |
−0.998551 | + | 0.0538072i | \(0.982864\pi\) | |||||||
\(158\) | 2.97724 | + | 0.874197i | 0.0188433 | + | 0.00553289i | ||||
\(159\) | 40.5218 | − | 88.7303i | 0.254854 | − | 0.558052i | ||||
\(160\) | −135.227 | + | 128.938i | −0.845167 | + | 0.805865i | ||||
\(161\) | −136.985 | + | 213.153i | −0.850841 | + | 1.32393i | ||||
\(162\) | −9.18086 | − | 6.53766i | −0.0566720 | − | 0.0403559i | ||||
\(163\) | 52.7172 | − | 91.3088i | 0.323418 | − | 0.560177i | −0.657773 | − | 0.753216i | \(-0.728501\pi\) |
0.981191 | + | 0.193040i | \(0.0618346\pi\) | |||||||
\(164\) | −20.3524 | + | 11.7505i | −0.124100 | + | 0.0716493i | ||||
\(165\) | 18.3409 | − | 192.074i | 0.111157 | − | 1.16409i | ||||
\(166\) | −7.77022 | − | 40.3157i | −0.0468085 | − | 0.242866i | ||||
\(167\) | −112.815 | − | 88.7188i | −0.675540 | − | 0.531250i | 0.220409 | − | 0.975407i | \(-0.429261\pi\) |
−0.895949 | + | 0.444157i | \(0.853503\pi\) | |||||||
\(168\) | 89.4275 | − | 113.716i | 0.532306 | − | 0.676883i | ||||
\(169\) | −80.3574 | + | 15.4876i | −0.475487 | + | 0.0916427i | ||||
\(170\) | −91.0655 | − | 8.69570i | −0.535679 | − | 0.0511512i | ||||
\(171\) | −52.8059 | − | 91.4625i | −0.308806 | − | 0.534868i | ||||
\(172\) | 0.910934 | + | 0.525928i | 0.00529613 | + | 0.00305772i | ||||
\(173\) | 47.3832 | − | 66.5404i | 0.273891 | − | 0.384626i | −0.654603 | − | 0.755973i | \(-0.727164\pi\) |
0.928494 | + | 0.371346i | \(0.121104\pi\) | |||||||
\(174\) | −97.1293 | − | 62.4212i | −0.558214 | − | 0.358743i | ||||
\(175\) | −68.6555 | − | 72.0038i | −0.392317 | − | 0.411450i | ||||
\(176\) | −6.19714 | − | 2.83014i | −0.0352110 | − | 0.0160803i | ||||
\(177\) | −31.0919 | + | 105.889i | −0.175660 | + | 0.598244i | ||||
\(178\) | 0.159602 | − | 0.828096i | 0.000896643 | − | 0.00465223i | ||||
\(179\) | −38.0096 | + | 32.9355i | −0.212344 | + | 0.183997i | −0.754538 | − | 0.656256i | \(-0.772139\pi\) |
0.542194 | + | 0.840253i | \(0.317594\pi\) | |||||||
\(180\) | −19.6616 | − | 38.1382i | −0.109231 | − | 0.211879i | ||||
\(181\) | −93.6224 | − | 270.504i | −0.517251 | − | 1.49450i | −0.837111 | − | 0.547034i | \(-0.815757\pi\) |
0.319860 | − | 0.947465i | \(-0.396364\pi\) | |||||||
\(182\) | 76.4409 | + | 190.940i | 0.420005 | + | 1.04912i | ||||
\(183\) | −79.2101 | − | 75.5267i | −0.432842 | − | 0.412714i | ||||
\(184\) | 191.255 | − | 46.3979i | 1.03943 | − | 0.252163i | ||||
\(185\) | 36.9677 | − | 71.7074i | 0.199826 | − | 0.387608i | ||||
\(186\) | 46.2730 | + | 6.65305i | 0.248779 | + | 0.0357691i | ||||
\(187\) | 66.2720 | + | 225.702i | 0.354396 | + | 1.20696i | ||||
\(188\) | −57.1289 | + | 5.45515i | −0.303877 | + | 0.0290168i | ||||
\(189\) | 31.2554 | + | 43.8921i | 0.165372 | + | 0.232233i | ||||
\(190\) | 12.3380 | + | 259.006i | 0.0649366 | + | 1.36319i | ||||
\(191\) | −185.184 | − | 64.0929i | −0.969551 | − | 0.335565i | −0.204022 | − | 0.978966i | \(-0.565401\pi\) |
−0.765529 | + | 0.643401i | \(0.777523\pi\) | |||||||
\(192\) | −70.6707 | + | 10.1609i | −0.368077 | + | 0.0529214i | ||||
\(193\) | −21.6918 | − | 47.4984i | −0.112393 | − | 0.246106i | 0.845074 | − | 0.534649i | \(-0.179556\pi\) |
−0.957467 | + | 0.288544i | \(0.906829\pi\) | |||||||
\(194\) | −134.052 | − | 53.6665i | −0.690992 | − | 0.276631i | ||||
\(195\) | 161.163 | + | 7.67713i | 0.826475 | + | 0.0393699i | ||||
\(196\) | −119.743 | + | 76.9542i | −0.610934 | + | 0.392623i | ||||
\(197\) | −165.097 | − | 40.0522i | −0.838057 | − | 0.203310i | −0.206312 | − | 0.978486i | \(-0.566146\pi\) |
−0.631745 | + | 0.775176i | \(0.717661\pi\) | |||||||
\(198\) | 46.5970 | − | 53.7758i | 0.235338 | − | 0.271595i | ||||
\(199\) | 171.531 | − | 134.894i | 0.861967 | − | 0.677858i | −0.0859768 | − | 0.996297i | \(-0.527401\pi\) |
0.947943 | + | 0.318439i | \(0.103159\pi\) | |||||||
\(200\) | 77.2754i | 0.386377i | ||||||||
\(201\) | −75.3926 | + | 88.2210i | −0.375088 | + | 0.438911i | ||||
\(202\) | 2.48387 | 0.0122964 | ||||||||
\(203\) | 341.213 | + | 433.888i | 1.68085 | + | 2.13738i | ||||
\(204\) | 39.5339 | + | 34.2563i | 0.193794 | + | 0.167923i | ||||
\(205\) | −13.4010 | + | 55.2398i | −0.0653709 | + | 0.269462i | ||||
\(206\) | −43.5959 | − | 67.8366i | −0.211631 | − | 0.329304i | ||||
\(207\) | −3.48784 | + | 73.2187i | −0.0168494 | + | 0.353713i | ||||
\(208\) | 2.11734 | − | 5.28886i | 0.0101795 | − | 0.0254272i | ||||
\(209\) | 606.506 | − | 276.982i | 2.90194 | − | 1.32527i | ||||
\(210\) | −18.8275 | − | 130.948i | −0.0896550 | − | 0.623564i | ||||
\(211\) | −45.5056 | + | 131.480i | −0.215666 | + | 0.623127i | 0.784330 | + | 0.620344i | \(0.213007\pi\) |
−0.999996 | + | 0.00278313i | \(0.999114\pi\) | |||||||
\(212\) | 136.795 | − | 6.51635i | 0.645259 | − | 0.0307375i | ||||
\(213\) | −107.417 | + | 76.4915i | −0.504307 | + | 0.359115i | ||||
\(214\) | 4.91558 | + | 51.4783i | 0.0229700 | + | 0.240553i | ||||
\(215\) | 2.44108 | − | 0.716766i | 0.0113539 | − | 0.00333380i | ||||
\(216\) | 5.95621 | − | 41.4263i | 0.0275750 | − | 0.191789i | ||||
\(217\) | −198.653 | − | 102.413i | −0.915450 | − | 0.471947i | ||||
\(218\) | 61.4019 | + | 253.102i | 0.281660 | + | 1.16102i | ||||
\(219\) | 35.8657 | − | 37.6148i | 0.163770 | − | 0.171757i | ||||
\(220\) | 251.487 | − | 100.680i | 1.14312 | − | 0.457638i | ||||
\(221\) | −185.884 | + | 64.3350i | −0.841104 | + | 0.291109i | ||||
\(222\) | 26.4444 | − | 13.6330i | 0.119119 | − | 0.0614100i | ||||
\(223\) | 235.121 | + | 271.344i | 1.05435 | + | 1.21679i | 0.975522 | + | 0.219901i | \(0.0705736\pi\) |
0.0788319 | + | 0.996888i | \(0.474881\pi\) | |||||||
\(224\) | 323.471 | + | 62.3439i | 1.44407 | + | 0.278321i | ||||
\(225\) | −27.6164 | − | 8.10890i | −0.122739 | − | 0.0360396i | ||||
\(226\) | 50.8256 | − | 111.292i | 0.224892 | − | 0.492444i | ||||
\(227\) | 184.289 | − | 175.719i | 0.811847 | − | 0.774094i | −0.165394 | − | 0.986228i | \(-0.552890\pi\) |
0.977241 | + | 0.212133i | \(0.0680411\pi\) | |||||||
\(228\) | 80.1636 | − | 124.737i | 0.351595 | − | 0.547092i | ||||
\(229\) | −44.0210 | − | 31.3472i | −0.192232 | − | 0.136888i | 0.479889 | − | 0.877329i | \(-0.340677\pi\) |
−0.672121 | + | 0.740442i | \(0.734616\pi\) | |||||||
\(230\) | 89.9856 | − | 155.860i | 0.391242 | − | 0.677651i | ||||
\(231\) | −294.606 | + | 170.091i | −1.27535 | + | 0.736325i | ||||
\(232\) | 40.7541 | − | 426.796i | 0.175664 | − | 1.83964i | ||||
\(233\) | 36.5500 | + | 189.640i | 0.156867 | + | 0.813904i | 0.972063 | + | 0.234719i | \(0.0754170\pi\) |
−0.815196 | + | 0.579185i | \(0.803371\pi\) | |||||||
\(234\) | 46.7711 | + | 36.7812i | 0.199877 | + | 0.157185i | ||||
\(235\) | −85.8048 | + | 109.110i | −0.365127 | + | 0.464296i | ||||
\(236\) | −152.141 | + | 29.3228i | −0.644665 | + | 0.124249i | ||||
\(237\) | −4.27221 | − | 0.407946i | −0.0180262 | − | 0.00172129i | ||||
\(238\) | 80.6429 | + | 139.678i | 0.338836 | + | 0.586881i | ||||
\(239\) | −82.9258 | − | 47.8772i | −0.346970 | − | 0.200323i | 0.316380 | − | 0.948633i | \(-0.397533\pi\) |
−0.663350 | + | 0.748309i | \(0.730866\pi\) | |||||||
\(240\) | −2.12559 | + | 2.98497i | −0.00885662 | + | 0.0124374i | ||||
\(241\) | 204.802 | + | 131.618i | 0.849801 | + | 0.546134i | 0.891513 | − | 0.452995i | \(-0.149645\pi\) |
−0.0417114 | + | 0.999130i | \(0.513281\pi\) | |||||||
\(242\) | 205.436 | + | 215.455i | 0.848908 | + | 0.890309i | ||||
\(243\) | 14.1798 | + | 6.47568i | 0.0583529 | + | 0.0266489i | ||||
\(244\) | 43.2907 | − | 147.435i | 0.177421 | − | 0.604240i | ||||
\(245\) | −65.1548 | + | 338.055i | −0.265938 | + | 1.37982i | ||||
\(246\) | −15.8423 | + | 13.7274i | −0.0643994 | + | 0.0558024i | ||||
\(247\) | 255.486 | + | 495.573i | 1.03435 | + | 2.00637i | ||||
\(248\) | 56.7775 | + | 164.048i | 0.228941 | + | 0.661483i | ||||
\(249\) | 21.1054 | + | 52.7188i | 0.0847608 | + | 0.211722i | ||||
\(250\) | −82.1253 | − | 78.3063i | −0.328501 | − | 0.313225i | ||||
\(251\) | 34.2004 | − | 8.29693i | 0.136257 | − | 0.0330555i | −0.167051 | − | 0.985948i | \(-0.553424\pi\) |
0.303307 | + | 0.952893i | \(0.401909\pi\) | |||||||
\(252\) | −34.6650 | + | 67.2406i | −0.137559 | + | 0.266828i | ||||
\(253\) | −458.066 | − | 65.8600i | −1.81054 | − | 0.260316i | ||||
\(254\) | −75.6703 | − | 257.709i | −0.297914 | − | 1.01460i | ||||
\(255\) | 125.952 | − | 12.0270i | 0.493929 | − | 0.0471645i | ||||
\(256\) | −150.449 | − | 211.276i | −0.587692 | − | 0.825297i | ||||
\(257\) | 13.1205 | + | 275.433i | 0.0510525 | + | 1.07172i | 0.868490 | + | 0.495706i | \(0.165091\pi\) |
−0.817438 | + | 0.576017i | \(0.804606\pi\) | |||||||
\(258\) | 0.886629 | + | 0.306865i | 0.00343655 | + | 0.00118940i | ||||
\(259\) | −140.790 | + | 20.2425i | −0.543590 | + | 0.0781564i | ||||
\(260\) | 94.1012 | + | 206.053i | 0.361928 | + | 0.792511i | ||||
\(261\) | 148.250 | + | 59.3504i | 0.568008 | + | 0.227396i | ||||
\(262\) | 91.0145 | + | 4.33555i | 0.347384 | + | 0.0165479i | ||||
\(263\) | −84.4150 | + | 54.2503i | −0.320970 | + | 0.206275i | −0.691197 | − | 0.722667i | \(-0.742916\pi\) |
0.370227 | + | 0.928941i | \(0.379280\pi\) | |||||||
\(264\) | 256.779 | + | 62.2938i | 0.972646 | + | 0.235961i | ||||
\(265\) | 216.918 | − | 250.337i | 0.818559 | − | 0.944667i | ||||
\(266\) | 359.356 | − | 282.601i | 1.35096 | − | 1.06241i | ||||
\(267\) | 1.16641i | 0.00436859i | ||||||||
\(268\) | −158.593 | − | 37.3264i | −0.591765 | − | 0.139278i | ||||
\(269\) | −256.820 | −0.954720 | −0.477360 | − | 0.878708i | \(-0.658406\pi\) | ||||
−0.477360 | + | 0.878708i | \(0.658406\pi\) | |||||||
\(270\) | −23.6588 | − | 30.0846i | −0.0876251 | − | 0.111424i | ||||
\(271\) | 188.952 | + | 163.728i | 0.697239 | + | 0.604161i | 0.929644 | − | 0.368458i | \(-0.120114\pi\) |
−0.232406 | + | 0.972619i | \(0.574660\pi\) | |||||||
\(272\) | 1.05325 | − | 4.34154i | 0.00387223 | − | 0.0159615i | ||||
\(273\) | −153.793 | − | 239.307i | −0.563345 | − | 0.876582i | ||||
\(274\) | −1.69995 | + | 35.6864i | −0.00620421 | + | 0.130242i | ||||
\(275\) | 67.5353 | − | 168.695i | 0.245583 | − | 0.613436i | ||||
\(276\) | −93.6129 | + | 42.7516i | −0.339177 | + | 0.154897i | ||||
\(277\) | −58.6905 | − | 408.201i | −0.211879 | − | 1.47365i | −0.766874 | − | 0.641797i | \(-0.778189\pi\) |
0.554995 | − | 0.831853i | \(-0.312720\pi\) | |||||||
\(278\) | 0.858864 | − | 2.48152i | 0.00308944 | − | 0.00892634i | ||||
\(279\) | −64.5847 | + | 3.07655i | −0.231486 | + | 0.0110270i | ||||
\(280\) | 400.168 | − | 284.959i | 1.42917 | − | 1.01771i | ||||
\(281\) | 38.6908 | + | 405.188i | 0.137690 | + | 1.44195i | 0.755255 | + | 0.655431i | \(0.227513\pi\) |
−0.617565 | + | 0.786520i | \(0.711881\pi\) | |||||||
\(282\) | −49.1159 | + | 14.4217i | −0.174170 | + | 0.0511409i | ||||
\(283\) | 50.1002 | − | 348.454i | 0.177032 | − | 1.23129i | −0.686551 | − | 0.727082i | \(-0.740876\pi\) |
0.863584 | − | 0.504206i | \(-0.168215\pi\) | |||||||
\(284\) | −164.558 | − | 84.8358i | −0.579431 | − | 0.298718i | ||||
\(285\) | −84.5514 | − | 348.526i | −0.296672 | − | 1.22290i | ||||
\(286\) | −259.228 | + | 271.870i | −0.906391 | + | 0.950596i | ||||
\(287\) | 93.0383 | − | 37.2469i | 0.324175 | − | 0.129780i | ||||
\(288\) | 90.0609 | − | 31.1704i | 0.312711 | − | 0.108230i | ||||
\(289\) | 119.769 | − | 61.7454i | 0.414427 | − | 0.213652i | ||||
\(290\) | −256.751 | − | 296.307i | −0.885349 | − | 1.02175i | ||||
\(291\) | 196.104 | + | 37.7959i | 0.673896 | + | 0.129883i | ||||
\(292\) | 70.0129 | + | 20.5576i | 0.239770 | + | 0.0704028i | ||||
\(293\) | 14.4096 | − | 31.5527i | 0.0491796 | − | 0.107688i | −0.883447 | − | 0.468531i | \(-0.844784\pi\) |
0.932627 | + | 0.360842i | \(0.117511\pi\) | |||||||
\(294\) | −91.8874 | + | 87.6144i | −0.312542 | + | 0.298008i | ||||
\(295\) | −202.609 | + | 315.266i | −0.686811 | + | 1.06870i | ||||
\(296\) | 89.9935 | + | 64.0841i | 0.304032 | + | 0.216500i | ||||
\(297\) | −49.2074 | + | 85.2297i | −0.165681 | + | 0.286969i | ||||
\(298\) | −122.325 | + | 70.6244i | −0.410487 | + | 0.236995i | ||||
\(299\) | 36.7847 | − | 385.227i | 0.123026 | − | 1.28839i | ||||
\(300\) | −7.64750 | − | 39.6790i | −0.0254917 | − | 0.132263i | ||||
\(301\) | −3.52585 | − | 2.77276i | −0.0117138 | − | 0.00921183i | ||||
\(302\) | −172.066 | + | 218.800i | −0.569757 | + | 0.724504i | ||||
\(303\) | −3.37334 | + | 0.650157i | −0.0111331 | + | 0.00214573i | ||||
\(304\) | −12.6057 | − | 1.20370i | −0.0414661 | − | 0.00395954i | ||||
\(305\) | −185.828 | − | 321.864i | −0.609273 | − | 1.05529i | ||||
\(306\) | 40.4088 | + | 23.3300i | 0.132055 | + | 0.0762419i | ||||
\(307\) | 60.4540 | − | 84.8958i | 0.196919 | − | 0.276534i | −0.704296 | − | 0.709906i | \(-0.748737\pi\) |
0.901215 | + | 0.433373i | \(0.142677\pi\) | |||||||
\(308\) | −401.786 | − | 258.212i | −1.30450 | − | 0.838351i | ||||
\(309\) | 76.9639 | + | 80.7174i | 0.249074 | + | 0.261221i | ||||
\(310\) | 144.403 | + | 65.9467i | 0.465816 | + | 0.212731i | ||||
\(311\) | −55.9028 | + | 190.387i | −0.179752 | + | 0.612178i | 0.819485 | + | 0.573101i | \(0.194260\pi\) |
−0.999236 | + | 0.0390767i | \(0.987558\pi\) | |||||||
\(312\) | −41.8150 | + | 216.957i | −0.134022 | + | 0.695375i | ||||
\(313\) | −40.5564 | + | 35.1423i | −0.129573 | + | 0.112276i | −0.717237 | − | 0.696830i | \(-0.754593\pi\) |
0.587664 | + | 0.809105i | \(0.300048\pi\) | |||||||
\(314\) | −174.838 | − | 339.138i | −0.556809 | − | 1.08006i | ||||
\(315\) | 59.8457 | + | 172.913i | 0.189986 | + | 0.548929i | ||||
\(316\) | −2.23938 | − | 5.59371i | −0.00708665 | − | 0.0177016i | ||||
\(317\) | 151.007 | + | 143.985i | 0.476362 | + | 0.454211i | 0.889819 | − | 0.456313i | \(-0.150830\pi\) |
−0.413457 | + | 0.910524i | \(0.635679\pi\) | |||||||
\(318\) | 118.713 | − | 28.7994i | 0.373311 | − | 0.0905643i | ||||
\(319\) | −461.968 | + | 896.093i | −1.44818 | + | 2.80907i | ||||
\(320\) | −239.983 | − | 34.5043i | −0.749946 | − | 0.107826i | ||||
\(321\) | −20.1504 | − | 68.6259i | −0.0627738 | − | 0.213788i | ||||
\(322\) | −315.867 | + | 30.1616i | −0.980952 | + | 0.0936696i | ||||
\(323\) | 253.616 | + | 356.153i | 0.785188 | + | 1.10264i | ||||
\(324\) | 1.04136 | + | 21.8608i | 0.00321408 | + | 0.0674717i | ||||
\(325\) | 143.592 | + | 49.6978i | 0.441822 | + | 0.152916i | ||||
\(326\) | 130.692 | − | 18.7906i | 0.400895 | − | 0.0576400i | ||||
\(327\) | −149.640 | − | 327.665i | −0.457614 | − | 1.00203i | ||||
\(328\) | −72.2648 | − | 28.9305i | −0.220320 | − | 0.0882026i | ||||
\(329\) | 244.450 | + | 11.6446i | 0.743010 | + | 0.0353939i | ||||
\(330\) | 203.271 | − | 130.635i | 0.615974 | − | 0.395862i | ||||
\(331\) | −288.402 | − | 69.9657i | −0.871306 | − | 0.211377i | −0.224911 | − | 0.974379i | \(-0.572209\pi\) |
−0.646395 | + | 0.763003i | \(0.723724\pi\) | |||||||
\(332\) | −52.2096 | + | 60.2531i | −0.157258 | + | 0.181485i | ||||
\(333\) | −32.3456 | + | 25.4368i | −0.0971339 | + | 0.0763869i | ||||
\(334\) | − | 179.732i | − | 0.538119i | ||||||
\(335\) | −330.048 | + | 215.316i | −0.985218 | + | 0.642735i | ||||
\(336\) | 6.46071 | 0.0192283 | ||||||||
\(337\) | 163.320 | + | 207.678i | 0.484628 | + | 0.616255i | 0.965458 | − | 0.260559i | \(-0.0839070\pi\) |
−0.480830 | + | 0.876814i | \(0.659665\pi\) | |||||||
\(338\) | −77.4521 | − | 67.1126i | −0.229148 | − | 0.198558i | ||||
\(339\) | −39.8951 | + | 164.450i | −0.117685 | + | 0.485103i | ||||
\(340\) | 96.0375 | + | 149.437i | 0.282463 | + | 0.439521i | ||||
\(341\) | 19.4232 | − | 407.743i | 0.0569595 | − | 1.19573i | ||||
\(342\) | 49.1553 | − | 122.784i | 0.143729 | − | 0.359018i | ||||
\(343\) | 89.9299 | − | 41.0696i | 0.262186 | − | 0.119736i | ||||
\(344\) | 0.495824 | + | 3.44853i | 0.00144135 | + | 0.0100248i | ||||
\(345\) | −81.4128 | + | 235.227i | −0.235979 | + | 0.681817i | ||||
\(346\) | 102.181 | − | 4.86749i | 0.295321 | − | 0.0140679i | ||||
\(347\) | −17.2325 | + | 12.2712i | −0.0496615 | + | 0.0353638i | −0.604618 | − | 0.796516i | \(-0.706674\pi\) |
0.554957 | + | 0.831879i | \(0.312735\pi\) | |||||||
\(348\) | 21.3113 | + | 223.182i | 0.0612394 | + | 0.641328i | ||||
\(349\) | −324.068 | + | 95.1550i | −0.928562 | + | 0.272650i | −0.710835 | − | 0.703359i | \(-0.751683\pi\) |
−0.217728 | + | 0.976010i | \(0.569864\pi\) | |||||||
\(350\) | 17.7311 | − | 123.323i | 0.0506603 | − | 0.352350i | ||||
\(351\) | −73.1473 | − | 37.7101i | −0.208397 | − | 0.107436i | ||||
\(352\) | 141.850 | + | 584.714i | 0.402983 | + | 1.66112i | ||||
\(353\) | 245.033 | − | 256.983i | 0.694144 | − | 0.727997i | −0.278465 | − | 0.960446i | \(-0.589826\pi\) |
0.972608 | + | 0.232450i | \(0.0746741\pi\) | |||||||
\(354\) | −128.304 | + | 51.3651i | −0.362440 | + | 0.145099i | ||||
\(355\) | −423.170 | + | 146.461i | −1.19203 | + | 0.412565i | ||||
\(356\) | −1.45556 | + | 0.750392i | −0.00408865 | + | 0.00210784i | ||||
\(357\) | −146.082 | − | 168.588i | −0.409193 | − | 0.472234i | ||||
\(358\) | −61.8450 | − | 11.9197i | −0.172751 | − | 0.0332951i | ||||
\(359\) | −44.8219 | − | 13.1609i | −0.124852 | − | 0.0366599i | 0.218710 | − | 0.975790i | \(-0.429815\pi\) |
−0.343562 | + | 0.939130i | \(0.611633\pi\) | |||||||
\(360\) | 59.0394 | − | 129.278i | 0.163998 | − | 0.359106i | ||||
\(361\) | 635.668 | − | 606.108i | 1.76085 | − | 1.67897i | ||||
\(362\) | 193.803 | − | 301.563i | 0.535367 | − | 0.833047i | ||||
\(363\) | −335.397 | − | 238.835i | −0.923960 | − | 0.657949i | ||||
\(364\) | 199.689 | − | 345.872i | 0.548596 | − | 0.950197i | ||||
\(365\) | 152.845 | − | 88.2450i | 0.418753 | − | 0.241767i | ||||
\(366\) | 13.0284 | − | 136.439i | 0.0355967 | − | 0.372785i | ||||
\(367\) | −61.2235 | − | 317.658i | −0.166822 | − | 0.865553i | −0.964824 | − | 0.262898i | \(-0.915322\pi\) |
0.798002 | − | 0.602655i | \(-0.205890\pi\) | |||||||
\(368\) | 6.90863 | + | 5.43300i | 0.0187734 | + | 0.0147636i | ||||
\(369\) | 17.9222 | − | 22.7899i | 0.0485696 | − | 0.0617612i | ||||
\(370\) | 99.2047 | − | 19.1201i | 0.268121 | − | 0.0516760i | ||||
\(371\) | −581.363 | − | 55.5134i | −1.56702 | − | 0.149632i | ||||
\(372\) | −45.3887 | − | 78.6155i | −0.122013 | − | 0.211332i | ||||
\(373\) | 338.267 | + | 195.299i | 0.906882 | + | 0.523588i | 0.879427 | − | 0.476035i | \(-0.157926\pi\) |
0.0274553 | + | 0.999623i | \(0.491260\pi\) | |||||||
\(374\) | −170.873 | + | 239.957i | −0.456879 | + | 0.641597i | ||||
\(375\) | 132.031 | + | 84.8512i | 0.352083 | + | 0.226270i | ||||
\(376\) | −131.174 | − | 137.571i | −0.348866 | − | 0.365880i | ||||
\(377\) | −766.857 | − | 350.212i | −2.03410 | − | 0.928944i | ||||
\(378\) | −19.0108 | + | 64.7449i | −0.0502932 | + | 0.171283i | ||||
\(379\) | 87.6313 | − | 454.674i | 0.231217 | − | 1.19967i | −0.661812 | − | 0.749670i | \(-0.730212\pi\) |
0.893029 | − | 0.449998i | \(-0.148575\pi\) | |||||||
\(380\) | 380.528 | − | 329.729i | 1.00139 | − | 0.867709i | ||||
\(381\) | 170.224 | + | 330.188i | 0.446781 | + | 0.866634i | ||||
\(382\) | −80.2637 | − | 231.907i | −0.210115 | − | 0.607086i | ||||
\(383\) | −260.487 | − | 650.664i | −0.680122 | − | 1.69886i | −0.714672 | − | 0.699460i | \(-0.753424\pi\) |
0.0345498 | − | 0.999403i | \(-0.489000\pi\) | |||||||
\(384\) | 94.5778 | + | 90.1797i | 0.246296 | + | 0.234843i | ||||
\(385\) | −1122.62 | + | 272.345i | −2.91590 | + | 0.707391i | ||||
\(386\) | 29.9642 | − | 58.1224i | 0.0776274 | − | 0.150576i | ||||
\(387\) | −1.28445 | − | 0.184676i | −0.00331900 | − | 0.000477200i | ||||
\(388\) | 78.9949 | + | 269.032i | 0.203595 | + | 0.693381i | ||||
\(389\) | 291.795 | − | 27.8631i | 0.750116 | − | 0.0716274i | 0.287007 | − | 0.957929i | \(-0.407340\pi\) |
0.463109 | + | 0.886301i | \(0.346734\pi\) | |||||||
\(390\) | 117.202 | + | 164.588i | 0.300519 | + | 0.422020i | ||||
\(391\) | −14.4394 | − | 303.120i | −0.0369294 | − | 0.775244i | ||||
\(392\) | −445.530 | − | 154.199i | −1.13656 | − | 0.393366i | ||||
\(393\) | −124.741 | + | 17.9351i | −0.317408 | + | 0.0456364i | ||||
\(394\) | −88.3790 | − | 193.523i | −0.224312 | − | 0.491175i | ||||
\(395\) | −13.5296 | − | 5.41642i | −0.0342521 | − | 0.0137125i | ||||
\(396\) | −138.014 | − | 6.57443i | −0.348521 | − | 0.0166021i | ||||
\(397\) | 521.727 | − | 335.294i | 1.31417 | − | 0.844569i | 0.319495 | − | 0.947588i | \(-0.396487\pi\) |
0.994679 | + | 0.103019i | \(0.0328504\pi\) | |||||||
\(398\) | 265.572 | + | 64.4272i | 0.667268 | + | 0.161877i | ||||
\(399\) | −414.069 | + | 477.862i | −1.03777 | + | 1.19765i | ||||
\(400\) | −2.71271 | + | 2.13330i | −0.00678176 | + | 0.00533324i | ||||
\(401\) | 492.431i | 1.22801i | 0.789303 | + | 0.614004i | \(0.210442\pi\) | ||||
−0.789303 | + | 0.614004i | \(0.789558\pi\) | |||||||
\(402\) | −145.206 | − | 5.92088i | −0.361209 | − | 0.0147286i | ||||
\(403\) | 341.347 | 0.847014 | ||||||||
\(404\) | −2.98151 | − | 3.79130i | −0.00737997 | − | 0.00938440i | ||||
\(405\) | 40.0057 | + | 34.6651i | 0.0987794 | + | 0.0855928i | ||||
\(406\) | −162.968 | + | 671.765i | −0.401400 | + | 1.65459i | ||||
\(407\) | −140.452 | − | 218.548i | −0.345092 | − | 0.536973i | ||||
\(408\) | −8.24432 | + | 173.069i | −0.0202067 | + | 0.424190i | ||||
\(409\) | 202.719 | − | 506.369i | 0.495646 | − | 1.23807i | −0.444033 | − | 0.896010i | \(-0.646453\pi\) |
0.939680 | − | 0.342055i | \(-0.111123\pi\) | |||||||
\(410\) | −64.7508 | + | 29.5707i | −0.157929 | + | 0.0721237i | ||||
\(411\) | −7.03229 | − | 48.9106i | −0.0171102 | − | 0.119004i | ||||
\(412\) | −51.2132 | + | 147.971i | −0.124304 | + | 0.359153i | ||||
\(413\) | 659.979 | − | 31.4387i | 1.59801 | − | 0.0761226i | ||||
\(414\) | −74.7748 | + | 53.2469i | −0.180615 | + | 0.128616i | ||||
\(415\) | 18.3301 | + | 191.962i | 0.0441690 | + | 0.462559i | ||||
\(416\) | −482.747 | + | 141.747i | −1.16045 | + | 0.340739i | ||||
\(417\) | −0.516878 | + | 3.59496i | −0.00123951 | + | 0.00862101i | ||||
\(418\) | 742.165 | + | 382.612i | 1.77551 | + | 0.915341i | ||||
\(419\) | 67.5012 | + | 278.244i | 0.161101 | + | 0.664066i | 0.993880 | + | 0.110462i | \(0.0352329\pi\) |
−0.832780 | + | 0.553605i | \(0.813252\pi\) | |||||||
\(420\) | −177.276 | + | 185.922i | −0.422085 | + | 0.442670i | ||||
\(421\) | 226.603 | − | 90.7180i | 0.538248 | − | 0.215482i | −0.0865792 | − | 0.996245i | \(-0.527594\pi\) |
0.624827 | + | 0.780763i | \(0.285169\pi\) | |||||||
\(422\) | −164.653 | + | 56.9868i | −0.390172 | + | 0.135040i | ||||
\(423\) | 62.9293 | − | 32.4423i | 0.148769 | − | 0.0766958i | ||||
\(424\) | 297.052 | + | 342.816i | 0.700594 | + | 0.808529i | ||||
\(425\) | 117.003 | + | 22.5505i | 0.275302 | + | 0.0530601i | ||||
\(426\) | −158.451 | − | 46.5253i | −0.371950 | − | 0.109214i | ||||
\(427\) | −272.205 | + | 596.045i | −0.637482 | + | 1.39589i | ||||
\(428\) | 72.6744 | − | 69.2949i | 0.169800 | − | 0.161904i | ||||
\(429\) | 280.894 | − | 437.080i | 0.654765 | − | 1.01883i | ||||
\(430\) | 2.59526 | + | 1.84808i | 0.00603550 | + | 0.00429786i | ||||
\(431\) | 352.533 | − | 610.606i | 0.817943 | − | 1.41672i | −0.0892522 | − | 0.996009i | \(-0.528448\pi\) |
0.907195 | − | 0.420710i | \(-0.138219\pi\) | |||||||
\(432\) | 1.61867 | − | 0.934542i | 0.00374693 | − | 0.00216329i | ||||
\(433\) | −39.5073 | + | 413.740i | −0.0912410 | + | 0.955519i | 0.827712 | + | 0.561152i | \(0.189642\pi\) |
−0.918953 | + | 0.394366i | \(0.870964\pi\) | |||||||
\(434\) | −52.9689 | − | 274.829i | −0.122048 | − | 0.633246i | ||||
\(435\) | 426.252 | + | 335.209i | 0.979891 | + | 0.770594i | ||||
\(436\) | 312.623 | − | 397.533i | 0.717025 | − | 0.911772i | ||||
\(437\) | −844.625 | + | 162.788i | −1.93278 | + | 0.372513i | ||||
\(438\) | 64.7916 | + | 6.18684i | 0.147926 | + | 0.0141252i | ||||
\(439\) | 122.611 | + | 212.369i | 0.279297 | + | 0.483757i | 0.971210 | − | 0.238224i | \(-0.0765652\pi\) |
−0.691913 | + | 0.721981i | \(0.743232\pi\) | |||||||
\(440\) | 777.048 | + | 448.629i | 1.76602 | + | 1.01961i | ||||
\(441\) | 101.859 | − | 143.041i | 0.230972 | − | 0.324355i | ||||
\(442\) | −207.227 | − | 133.177i | −0.468839 | − | 0.301304i | ||||
\(443\) | −161.822 | − | 169.714i | −0.365286 | − | 0.383101i | 0.515282 | − | 0.857021i | \(-0.327687\pi\) |
−0.880568 | + | 0.473920i | \(0.842839\pi\) | |||||||
\(444\) | −52.5515 | − | 23.9994i | −0.118359 | − | 0.0540528i | ||||
\(445\) | −1.11591 | + | 3.80044i | −0.00250766 | + | 0.00854032i | ||||
\(446\) | −85.0924 | + | 441.501i | −0.190790 | + | 0.989913i | ||||
\(447\) | 147.643 | − | 127.934i | 0.330298 | − | 0.286205i | ||||
\(448\) | 195.873 | + | 379.941i | 0.437217 | + | 0.848082i | ||||
\(449\) | −27.2085 | − | 78.6138i | −0.0605980 | − | 0.175086i | 0.910638 | − | 0.413205i | \(-0.135591\pi\) |
−0.971236 | + | 0.238118i | \(0.923469\pi\) | |||||||
\(450\) | −13.3962 | − | 33.4622i | −0.0297694 | − | 0.0743605i | ||||
\(451\) | 132.473 | + | 126.312i | 0.293731 | + | 0.280072i | ||||
\(452\) | −230.882 | + | 56.0113i | −0.510800 | + | 0.123919i | ||||
\(453\) | 176.412 | − | 342.191i | 0.389430 | − | 0.755389i | ||||
\(454\) | 315.636 | + | 45.3817i | 0.695234 | + | 0.0999596i | ||||
\(455\) | −272.148 | − | 926.852i | −0.598128 | − | 2.03704i | ||||
\(456\) | 488.898 | − | 46.6841i | 1.07215 | − | 0.102377i | ||||
\(457\) | −15.0174 | − | 21.0890i | −0.0328608 | − | 0.0461465i | 0.797819 | − | 0.602897i | \(-0.205987\pi\) |
−0.830680 | + | 0.556751i | \(0.812048\pi\) | |||||||
\(458\) | −3.22018 | − | 67.5999i | −0.00703096 | − | 0.147598i | ||||
\(459\) | −60.9858 | − | 21.1074i | −0.132867 | − | 0.0459856i | ||||
\(460\) | −345.913 | + | 49.7348i | −0.751986 | + | 0.108119i | ||||
\(461\) | −119.591 | − | 261.867i | −0.259415 | − | 0.568041i | 0.734447 | − | 0.678666i | \(-0.237442\pi\) |
−0.993862 | + | 0.110626i | \(0.964715\pi\) | |||||||
\(462\) | −395.495 | − | 158.332i | −0.856050 | − | 0.342711i | ||||
\(463\) | −95.4582 | − | 4.54723i | −0.206173 | − | 0.00982124i | −0.0557587 | − | 0.998444i | \(-0.517758\pi\) |
−0.150414 | + | 0.988623i | \(0.548061\pi\) | |||||||
\(464\) | 16.1075 | − | 10.3516i | 0.0347144 | − | 0.0223096i | ||||
\(465\) | −213.375 | − | 51.7643i | −0.458871 | − | 0.111321i | ||||
\(466\) | −158.383 | + | 182.783i | −0.339877 | + | 0.392239i | ||||
\(467\) | −357.553 | + | 281.183i | −0.765638 | + | 0.602105i | −0.922715 | − | 0.385482i | \(-0.874035\pi\) |
0.157077 | + | 0.987586i | \(0.449793\pi\) | |||||||
\(468\) | − | 115.540i | − | 0.246881i | ||||||
\(469\) | 646.764 | + | 253.801i | 1.37903 | + | 0.541154i | ||||
\(470\) | −173.828 | −0.369848 | ||||||||
\(471\) | 326.217 | + | 414.819i | 0.692606 | + | 0.880720i | ||||
\(472\) | −387.851 | − | 336.075i | −0.821719 | − | 0.712023i | ||||
\(473\) | 1.93146 | − | 7.96160i | 0.00408343 | − | 0.0168321i | ||||
\(474\) | −2.90564 | − | 4.52126i | −0.00613004 | − | 0.00953853i | ||||
\(475\) | 16.0708 | − | 337.367i | 0.0338332 | − | 0.710246i | ||||
\(476\) | 116.400 | − | 290.753i | 0.244537 | − | 0.610825i | ||||
\(477\) | −153.685 | + | 70.1858i | −0.322192 | + | 0.147140i | ||||
\(478\) | −17.0655 | − | 118.693i | −0.0357019 | − | 0.248312i | ||||
\(479\) | 185.938 | − | 537.234i | 0.388180 | − | 1.12157i | −0.566531 | − | 0.824040i | \(-0.691715\pi\) |
0.954711 | − | 0.297533i | \(-0.0961639\pi\) | |||||||
\(480\) | 323.260 | − | 15.3988i | 0.673459 | − | 0.0320808i | ||||
\(481\) | 176.957 | − | 126.011i | 0.367895 | − | 0.261977i | ||||
\(482\) | 28.9799 | + | 303.491i | 0.0601243 | + | 0.629650i | ||||
\(483\) | 421.083 | − | 123.641i | 0.871808 | − | 0.255986i | ||||
\(484\) | 82.2686 | − | 572.191i | 0.169977 | − | 1.18221i | ||||
\(485\) | 602.792 | + | 310.761i | 1.24287 | + | 0.640744i | ||||
\(486\) | 4.60236 | + | 18.9712i | 0.00946988 | + | 0.0390354i | ||||
\(487\) | 104.549 | − | 109.647i | 0.214679 | − | 0.225149i | −0.607586 | − | 0.794254i | \(-0.707862\pi\) |
0.822265 | + | 0.569105i | \(0.192710\pi\) | |||||||
\(488\) | 472.497 | − | 189.159i | 0.968231 | − | 0.387621i | ||||
\(489\) | −172.574 | + | 59.7284i | −0.352912 | + | 0.122144i | ||||
\(490\) | −383.211 | + | 197.559i | −0.782064 | + | 0.403182i | ||||
\(491\) | 331.878 | + | 383.008i | 0.675923 | + | 0.780057i | 0.985291 | − | 0.170885i | \(-0.0546628\pi\) |
−0.309368 | + | 0.950943i | \(0.600117\pi\) | |||||||
\(492\) | 39.9693 | + | 7.70345i | 0.0812384 | + | 0.0156574i | ||||
\(493\) | −634.322 | − | 186.254i | −1.28666 | − | 0.377796i | ||||
\(494\) | −290.053 | + | 635.128i | −0.587153 | + | 1.28568i | ||||
\(495\) | −241.869 | + | 230.621i | −0.488624 | + | 0.465902i | ||||
\(496\) | −4.19137 | + | 6.52190i | −0.00845035 | + | 0.0131490i | ||||
\(497\) | 643.111 | + | 457.958i | 1.29399 | + | 0.921444i | ||||
\(498\) | −35.5570 | + | 61.5865i | −0.0713996 | + | 0.123668i | ||||
\(499\) | −179.728 | + | 103.766i | −0.360176 | + | 0.207948i | −0.669158 | − | 0.743120i | \(-0.733345\pi\) |
0.308982 | + | 0.951068i | \(0.400012\pi\) | |||||||
\(500\) | −20.9452 | + | 219.348i | −0.0418904 | + | 0.438696i | ||||
\(501\) | 47.0451 | + | 244.093i | 0.0939025 | + | 0.487212i | ||||
\(502\) | 34.6426 | + | 27.2432i | 0.0690092 | + | 0.0542694i | ||||
\(503\) | 357.342 | − | 454.398i | 0.710422 | − | 0.903375i | −0.288107 | − | 0.957598i | \(-0.593026\pi\) |
0.998529 | + | 0.0542233i | \(0.0172683\pi\) | |||||||
\(504\) | −246.043 | + | 47.4209i | −0.488181 | + | 0.0940892i | ||||
\(505\) | −11.6131 | − | 1.10892i | −0.0229963 | − | 0.00219588i | ||||
\(506\) | −289.768 | − | 501.893i | −0.572664 | − | 0.991884i | ||||
\(507\) | 122.754 | + | 70.8723i | 0.242119 | + | 0.139788i | ||||
\(508\) | −302.528 | + | 424.842i | −0.595528 | + | 0.836302i | ||||
\(509\) | 843.855 | + | 542.312i | 1.65787 | + | 1.06545i | 0.921120 | + | 0.389279i | \(0.127276\pi\) |
0.736748 | + | 0.676168i | \(0.236361\pi\) | |||||||
\(510\) | 109.341 | + | 114.674i | 0.214395 | + | 0.224851i | ||||
\(511\) | −283.046 | − | 129.263i | −0.553907 | − | 0.252961i | ||||
\(512\) | 6.48433 | − | 22.0836i | 0.0126647 | − | 0.0431320i | ||||
\(513\) | −34.6188 | + | 179.619i | −0.0674830 | + | 0.350135i | ||||
\(514\) | −260.973 | + | 226.134i | −0.507729 | + | 0.439950i | ||||
\(515\) | 173.544 | + | 336.628i | 0.336978 | + | 0.653646i | ||||
\(516\) | −0.595875 | − | 1.72167i | −0.00115480 | − | 0.00333656i | ||||
\(517\) | 166.126 | + | 414.962i | 0.321327 | + | 0.802635i | ||||
\(518\) | −128.915 | − | 122.920i | −0.248870 | − | 0.237297i | ||||
\(519\) | −137.498 | + | 33.3566i | −0.264929 | + | 0.0642710i | ||||
\(520\) | −343.806 | + | 666.892i | −0.661166 | + | 1.28248i | ||||
\(521\) | −475.336 | − | 68.3430i | −0.912353 | − | 0.131177i | −0.329876 | − | 0.944024i | \(-0.607007\pi\) |
−0.582476 | + | 0.812848i | \(0.697916\pi\) | |||||||
\(522\) | 56.3406 | + | 191.878i | 0.107932 | + | 0.367583i | ||||
\(523\) | 892.395 | − | 85.2134i | 1.70630 | − | 0.162932i | 0.804171 | − | 0.594398i | \(-0.202610\pi\) |
0.902129 | + | 0.431467i | \(0.142004\pi\) | |||||||
\(524\) | −102.631 | − | 144.126i | −0.195862 | − | 0.275049i | ||||
\(525\) | 8.19934 | + | 172.125i | 0.0156178 | + | 0.327858i | ||||
\(526\) | −118.750 | − | 41.0999i | −0.225761 | − | 0.0781366i | ||||
\(527\) | 264.955 | − | 38.0947i | 0.502760 | − | 0.0722860i | ||||
\(528\) | 4.90194 | + | 10.7338i | 0.00928398 | + | 0.0203291i | ||||
\(529\) | 63.1436 | + | 25.2789i | 0.119364 | + | 0.0477861i | ||||
\(530\) | 414.347 | + | 19.7378i | 0.781786 | + | 0.0372411i | ||||
\(531\) | 160.804 | − | 103.343i | 0.302833 | − | 0.194619i | ||||
\(532\) | −862.705 | − | 209.290i | −1.62163 | − | 0.393402i | ||||
\(533\) | −100.234 | + | 115.676i | −0.188055 | + | 0.217028i | ||||
\(534\) | −1.14819 | + | 0.902946i | −0.00215017 | + | 0.00169091i | ||||
\(535\) | − | 242.877i | − | 0.453976i | ||||||
\(536\) | −227.535 | − | 489.337i | −0.424505 | − | 0.912942i | ||||
\(537\) | 87.1116 | 0.162219 | ||||||||
\(538\) | −198.810 | − | 252.807i | −0.369535 | − | 0.469902i | ||||
\(539\) | 837.844 | + | 725.996i | 1.55444 | + | 1.34693i | ||||
\(540\) | −17.5214 | + | 72.2240i | −0.0324469 | + | 0.133748i | ||||
\(541\) | 40.9475 | + | 63.7155i | 0.0756885 | + | 0.117774i | 0.877034 | − | 0.480428i | \(-0.159519\pi\) |
−0.801346 | + | 0.598201i | \(0.795882\pi\) | |||||||
\(542\) | −14.8979 | + | 312.745i | −0.0274869 | + | 0.577020i | ||||
\(543\) | −184.269 | + | 460.281i | −0.339353 | + | 0.847662i | ||||
\(544\) | −358.891 | + | 163.900i | −0.659726 | + | 0.301287i | ||||
\(545\) | −174.083 | − | 1210.77i | −0.319418 | − | 2.22160i | ||||
\(546\) | 116.513 | − | 336.643i | 0.213394 | − | 0.616563i | ||||
\(547\) | 389.119 | − | 18.5360i | 0.711369 | − | 0.0338867i | 0.311222 | − | 0.950337i | \(-0.399262\pi\) |
0.400148 | + | 0.916451i | \(0.368959\pi\) | |||||||
\(548\) | 56.5111 | − | 40.2414i | 0.103123 | − | 0.0734332i | ||||
\(549\) | 18.0195 | + | 188.708i | 0.0328223 | + | 0.343731i | ||||
\(550\) | 218.340 | − | 64.1104i | 0.396982 | − | 0.116564i | ||||
\(551\) | −266.683 | + | 1854.82i | −0.483997 | + | 3.36628i | ||||
\(552\) | −302.979 | − | 156.197i | −0.548875 | − | 0.282965i | ||||
\(553\) | 6.05764 | + | 24.9699i | 0.0109541 | + | 0.0451536i | ||||
\(554\) | 356.390 | − | 373.771i | 0.643303 | − | 0.674677i | ||||
\(555\) | −129.725 | + | 51.9340i | −0.233739 | + | 0.0935748i | ||||
\(556\) | −4.81865 | + | 1.66775i | −0.00866664 | + | 0.00299955i | ||||
\(557\) | −763.806 | + | 393.769i | −1.37128 | + | 0.706946i | −0.977238 | − | 0.212144i | \(-0.931955\pi\) |
−0.394046 | + | 0.919091i | \(0.628925\pi\) | |||||||
\(558\) | −53.0249 | − | 61.1940i | −0.0950267 | − | 0.109667i | ||||
\(559\) | 6.72690 | + | 1.29650i | 0.0120338 | + | 0.00231933i | ||||
\(560\) | 21.0505 | + | 6.18098i | 0.0375902 | + | 0.0110375i | ||||
\(561\) | 169.253 | − | 370.612i | 0.301698 | − | 0.660627i | ||||
\(562\) | −368.906 | + | 351.751i | −0.656417 | + | 0.625892i | ||||
\(563\) | 365.751 | − | 569.120i | 0.649647 | − | 1.01087i | −0.347667 | − | 0.937618i | \(-0.613026\pi\) |
0.997313 | − | 0.0732519i | \(-0.0233377\pi\) | |||||||
\(564\) | 80.9691 | + | 57.6578i | 0.143562 | + | 0.102230i | ||||
\(565\) | −287.317 | + | 497.648i | −0.508526 | + | 0.880793i | ||||
\(566\) | 381.794 | − | 220.429i | 0.674548 | − | 0.389450i | ||||
\(567\) | 8.87145 | − | 92.9061i | 0.0156463 | − | 0.163855i | ||||
\(568\) | −116.054 | − | 602.143i | −0.204320 | − | 1.06011i | ||||
\(569\) | −220.951 | − | 173.758i | −0.388314 | − | 0.305374i | 0.404848 | − | 0.914384i | \(-0.367324\pi\) |
−0.793162 | + | 0.609010i | \(0.791567\pi\) | |||||||
\(570\) | 277.627 | − | 353.032i | 0.487066 | − | 0.619354i | ||||
\(571\) | 661.616 | − | 127.516i | 1.15870 | − | 0.223321i | 0.426548 | − | 0.904465i | \(-0.359729\pi\) |
0.732149 | + | 0.681144i | \(0.238517\pi\) | |||||||
\(572\) | 726.138 | + | 69.3378i | 1.26947 | + | 0.121220i | ||||
\(573\) | 169.708 | + | 293.943i | 0.296175 | + | 0.512990i | ||||
\(574\) | 108.688 | + | 62.7510i | 0.189352 | + | 0.109322i | ||||
\(575\) | −135.978 | + | 190.954i | −0.236483 | + | 0.332093i | ||||
\(576\) | 104.033 | + | 66.8578i | 0.180612 | + | 0.116073i | ||||
\(577\) | −179.920 | − | 188.694i | −0.311819 | − | 0.327027i | 0.549111 | − | 0.835749i | \(-0.314966\pi\) |
−0.860931 | + | 0.508723i | \(0.830118\pi\) | |||||||
\(578\) | 153.497 | + | 70.0997i | 0.265566 | + | 0.121280i | ||||
\(579\) | −25.4807 | + | 86.7791i | −0.0440080 | + | 0.149878i | ||||
\(580\) | −144.082 | + | 747.568i | −0.248417 | + | 1.28891i | ||||
\(581\) | 256.942 | − | 222.642i | 0.442241 | − | 0.383204i | ||||
\(582\) | 114.603 | + | 222.299i | 0.196912 | + | 0.381956i | ||||
\(583\) | −348.869 | − | 1007.99i | −0.598403 | − | 1.72897i | ||||
\(584\) | 89.8268 | + | 224.376i | 0.153813 | + | 0.384206i | ||||
\(585\) | −202.254 | − | 192.848i | −0.345733 | − | 0.329655i | ||||
\(586\) | 42.2145 | − | 10.2411i | 0.0720384 | − | 0.0174763i | ||||
\(587\) | −111.835 | + | 216.930i | −0.190520 | + | 0.369557i | −0.964677 | − | 0.263437i | \(-0.915144\pi\) |
0.774157 | + | 0.632994i | \(0.218174\pi\) | |||||||
\(588\) | 244.029 | + | 35.0860i | 0.415015 | + | 0.0596701i | ||||
\(589\) | −213.761 | − | 728.003i | −0.362922 | − | 1.23600i | ||||
\(590\) | −467.185 | + | 44.6108i | −0.791839 | + | 0.0756115i | ||||
\(591\) | 170.682 | + | 239.690i | 0.288803 | + | 0.405567i | ||||
\(592\) | 0.234764 | + | 4.92829i | 0.000396560 | + | 0.00832482i | ||||
\(593\) | −1100.12 | − | 380.755i | −1.85518 | − | 0.642083i | −0.990085 | − | 0.140469i | \(-0.955139\pi\) |
−0.865092 | − | 0.501614i | \(-0.832740\pi\) | |||||||
\(594\) | −121.991 | + | 17.5396i | −0.205371 | + | 0.0295280i | ||||
\(595\) | −314.681 | − | 689.054i | −0.528875 | − | 1.15807i | ||||
\(596\) | 254.632 | + | 101.939i | 0.427234 | + | 0.171039i | ||||
\(597\) | −377.537 | − | 17.9843i | −0.632391 | − | 0.0301245i | ||||
\(598\) | 407.685 | − | 262.003i | 0.681747 | − | 0.438132i | ||||
\(599\) | 65.5606 | + | 15.9048i | 0.109450 | + | 0.0265523i | 0.290110 | − | 0.956993i | \(-0.406308\pi\) |
−0.180660 | + | 0.983546i | \(0.557823\pi\) | |||||||
\(600\) | 87.6498 | − | 101.153i | 0.146083 | − | 0.168589i | ||||
\(601\) | 315.308 | − | 247.961i | 0.524640 | − | 0.412581i | −0.320402 | − | 0.947282i | \(-0.603818\pi\) |
0.845042 | + | 0.534700i | \(0.179576\pi\) | |||||||
\(602\) | − | 5.61722i | − | 0.00933093i | ||||||
\(603\) | 198.754 | − | 29.9668i | 0.329608 | − | 0.0496961i | ||||
\(604\) | 540.510 | 0.894883 | ||||||||
\(605\) | −864.308 | − | 1099.06i | −1.42861 | − | 1.81662i | ||||
\(606\) | −3.25138 | − | 2.81733i | −0.00536531 | − | 0.00464906i | ||||
\(607\) | −135.059 | + | 556.722i | −0.222503 | + | 0.917170i | 0.745555 | + | 0.666444i | \(0.232184\pi\) |
−0.968058 | + | 0.250726i | \(0.919331\pi\) | |||||||
\(608\) | 604.620 | + | 940.807i | 0.994441 | + | 1.54738i | ||||
\(609\) | 45.4913 | − | 954.980i | 0.0746984 | − | 1.56811i | ||||
\(610\) | 172.982 | − | 432.087i | 0.283576 | − | 0.708340i | ||||
\(611\) | −339.994 | + | 155.270i | −0.556455 | + | 0.254124i | ||||
\(612\) | −12.8944 | − | 89.6828i | −0.0210693 | − | 0.146541i | ||||
\(613\) | 156.415 | − | 451.931i | 0.255163 | − | 0.737244i | −0.742559 | − | 0.669781i | \(-0.766388\pi\) |
0.997722 | − | 0.0674637i | \(-0.0214907\pi\) | |||||||
\(614\) | 130.368 | − | 6.21021i | 0.212326 | − | 0.0101143i | ||||
\(615\) | 80.1977 | − | 57.1086i | 0.130403 | − | 0.0928594i | ||||
\(616\) | −150.372 | − | 1574.77i | −0.244111 | − | 2.55645i | ||||
\(617\) | 240.984 | − | 70.7593i | 0.390574 | − | 0.114683i | −0.0805486 | − | 0.996751i | \(-0.525667\pi\) |
0.471122 | + | 0.882068i | \(0.343849\pi\) | |||||||
\(618\) | −19.8769 | + | 138.247i | −0.0321632 | + | 0.223700i | ||||
\(619\) | −52.3194 | − | 26.9725i | −0.0845224 | − | 0.0435743i | 0.415447 | − | 0.909617i | \(-0.363625\pi\) |
−0.499969 | + | 0.866043i | \(0.666655\pi\) | |||||||
\(620\) | −72.6752 | − | 299.571i | −0.117218 | − | 0.483179i | ||||
\(621\) | 87.6140 | − | 91.8869i | 0.141085 | − | 0.147966i | ||||
\(622\) | −230.688 | + | 92.3537i | −0.370882 | + | 0.148479i | ||||
\(623\) | 6.59927 | − | 2.28403i | 0.0105927 | − | 0.00366618i | ||||
\(624\) | −8.77050 | + | 4.52151i | −0.0140553 | + | 0.00724600i | ||||
\(625\) | 506.080 | + | 584.048i | 0.809728 | + | 0.934476i | ||||
\(626\) | −65.9889 | − | 12.7183i | −0.105414 | − | 0.0203168i | ||||
\(627\) | −1108.08 | − | 325.362i | −1.76728 | − | 0.518919i | ||||
\(628\) | −307.783 | + | 673.951i | −0.490101 | + | 1.07317i | ||||
\(629\) | 123.292 | − | 117.559i | 0.196013 | − | 0.186898i | ||||
\(630\) | −123.883 | + | 192.766i | −0.196640 | + | 0.305978i | ||||
\(631\) | 614.306 | + | 437.446i | 0.973544 | + | 0.693258i | 0.951868 | − | 0.306507i | \(-0.0991604\pi\) |
0.0216759 | + | 0.999765i | \(0.493100\pi\) | |||||||
\(632\) | 9.97862 | − | 17.2835i | 0.0157890 | − | 0.0273473i | ||||
\(633\) | 208.698 | − | 120.492i | 0.329697 | − | 0.190351i | ||||
\(634\) | −24.8374 | + | 260.110i | −0.0391758 | + | 0.410267i | ||||
\(635\) | 238.736 | + | 1238.68i | 0.375963 | + | 1.95068i | ||||
\(636\) | −186.455 | − | 146.630i | −0.293169 | − | 0.230550i | ||||
\(637\) | −573.063 | + | 728.708i | −0.899627 | + | 1.14397i | ||||
\(638\) | −1239.71 | + | 238.935i | −1.94312 | + | 0.374506i | ||||
\(639\) | 227.370 | + | 21.7112i | 0.355821 | + | 0.0339768i | ||||
\(640\) | 221.881 | + | 384.309i | 0.346689 | + | 0.600484i | ||||
\(641\) | 459.631 | + | 265.368i | 0.717054 | + | 0.413991i | 0.813667 | − | 0.581331i | \(-0.197468\pi\) |
−0.0966137 | + | 0.995322i | \(0.530801\pi\) | |||||||
\(642\) | 51.9549 | − | 72.9604i | 0.0809266 | − | 0.113646i | ||||
\(643\) | −187.248 | − | 120.337i | −0.291210 | − | 0.187150i | 0.386876 | − | 0.922132i | \(-0.373554\pi\) |
−0.678086 | + | 0.734982i | \(0.737190\pi\) | |||||||
\(644\) | 425.188 | + | 445.924i | 0.660230 | + | 0.692429i | ||||
\(645\) | −4.00836 | − | 1.83056i | −0.00621452 | − | 0.00283807i | ||||
\(646\) | −154.260 | + | 525.360i | −0.238792 | + | 0.813250i | ||||
\(647\) | 220.033 | − | 1141.64i | 0.340081 | − | 1.76451i | −0.261018 | − | 0.965334i | \(-0.584058\pi\) |
0.601099 | − | 0.799175i | \(-0.294730\pi\) | |||||||
\(648\) | −54.7846 | + | 47.4711i | −0.0845441 | + | 0.0732578i | ||||
\(649\) | 552.978 | + | 1072.63i | 0.852047 | + | 1.65274i | ||||
\(650\) | 62.2367 | + | 179.821i | 0.0957487 | + | 0.276648i | ||||
\(651\) | 143.874 | + | 359.380i | 0.221005 | + | 0.552043i | ||||
\(652\) | −185.557 | − | 176.928i | −0.284597 | − | 0.271363i | ||||
\(653\) | 644.218 | − | 156.286i | 0.986552 | − | 0.239335i | 0.290146 | − | 0.956983i | \(-0.406296\pi\) |
0.696406 | + | 0.717648i | \(0.254781\pi\) | |||||||
\(654\) | 206.707 | − | 400.955i | 0.316065 | − | 0.613081i | ||||
\(655\) | −423.595 | − | 60.9038i | −0.646710 | − | 0.0929829i | ||||
\(656\) | −0.979384 | − | 3.33548i | −0.00149296 | − | 0.00508457i | ||||
\(657\) | −89.6127 | + | 8.55698i | −0.136397 | + | 0.0130243i | ||||
\(658\) | 177.772 | + | 249.646i | 0.270170 | + | 0.379400i | ||||
\(659\) | −34.2226 | − | 718.420i | −0.0519311 | − | 1.09017i | −0.862996 | − | 0.505211i | \(-0.831415\pi\) |
0.811065 | − | 0.584956i | \(-0.198888\pi\) | |||||||
\(660\) | −443.393 | − | 153.460i | −0.671808 | − | 0.232515i | ||||
\(661\) | −100.471 | + | 14.4456i | −0.151999 | + | 0.0218541i | −0.217894 | − | 0.975972i | \(-0.569919\pi\) |
0.0658954 | + | 0.997827i | \(0.479010\pi\) | |||||||
\(662\) | −154.386 | − | 338.059i | −0.233212 | − | 0.510662i | ||||
\(663\) | 316.294 | + | 126.625i | 0.477064 | + | 0.190988i | ||||
\(664\) | −263.773 | − | 12.5651i | −0.397249 | − | 0.0189233i | ||||
\(665\) | −1806.31 | + | 1160.84i | −2.71625 | + | 1.74563i | ||||
\(666\) | −50.0789 | − | 12.1490i | −0.0751935 | − | 0.0182417i | ||||
\(667\) | 851.717 | − | 982.934i | 1.27694 | − | 1.47366i | ||||
\(668\) | −274.337 | + | 215.741i | −0.410684 | + | 0.322965i | ||||
\(669\) | − | 621.875i | − | 0.929559i | ||||||
\(670\) | −467.450 | − | 158.211i | −0.697686 | − | 0.236135i | ||||
\(671\) | −1196.79 | −1.78360 | ||||||||
\(672\) | −352.709 | − | 448.505i | −0.524864 | − | 0.667419i | ||||
\(673\) | −455.908 | − | 395.047i | −0.677427 | − | 0.586994i | 0.246694 | − | 0.969093i | \(-0.420656\pi\) |
−0.924121 | + | 0.382100i | \(0.875201\pi\) | |||||||
\(674\) | −78.0038 | + | 321.536i | −0.115733 | + | 0.477056i | ||||
\(675\) | 26.9522 | + | 41.9385i | 0.0399292 | + | 0.0621311i | ||||
\(676\) | −9.46901 | + | 198.779i | −0.0140074 | + | 0.294052i | ||||
\(677\) | −243.243 | + | 607.592i | −0.359296 | + | 0.897477i | 0.633064 | + | 0.774099i | \(0.281797\pi\) |
−0.992360 | + | 0.123378i | \(0.960627\pi\) | |||||||
\(678\) | −192.764 | + | 88.0324i | −0.284313 | + | 0.129841i | ||||
\(679\) | −170.164 | − | 1183.52i | −0.250610 | − | 1.74303i | ||||
\(680\) | −192.438 | + | 556.013i | −0.282997 | + | 0.817667i | ||||
\(681\) | −440.544 | + | 20.9857i | −0.646907 | + | 0.0308160i | ||||
\(682\) | 416.409 | − | 296.523i | 0.610570 | − | 0.434785i | ||||
\(683\) | −24.3405 | − | 254.905i | −0.0356376 | − | 0.373213i | −0.995644 | − | 0.0932357i | \(-0.970279\pi\) |
0.960007 | − | 0.279978i | \(-0.0903271\pi\) | |||||||
\(684\) | −246.417 | + | 72.3546i | −0.360259 | + | 0.105782i | ||||
\(685\) | 23.8802 | − | 166.090i | 0.0348615 | − | 0.242467i | ||||
\(686\) | 110.045 | + | 56.7320i | 0.160415 | + | 0.0826997i | ||||
\(687\) | 22.0677 | + | 90.9644i | 0.0321219 | + | 0.132408i | ||||
\(688\) | −0.107371 | + | 0.112607i | −0.000156062 | + | 0.000163673i | ||||
\(689\) | 828.059 | − | 331.505i | 1.20183 | − | 0.481139i | ||||
\(690\) | −294.575 | + | 101.953i | −0.426920 | + | 0.147759i | ||||
\(691\) | 74.5183 | − | 38.4168i | 0.107841 | − | 0.0555960i | −0.403462 | − | 0.914996i | \(-0.632193\pi\) |
0.511303 | + | 0.859400i | \(0.329163\pi\) | |||||||
\(692\) | −130.083 | − | 150.123i | −0.187981 | − | 0.216941i | ||||
\(693\) | 578.565 | + | 111.509i | 0.834870 | + | 0.160908i | ||||
\(694\) | −25.4196 | − | 7.46387i | −0.0366277 | − | 0.0107549i | ||||
\(695\) | −5.12342 | + | 11.2187i | −0.00737183 | + | 0.0161421i | ||||
\(696\) | −537.441 | + | 512.449i | −0.772185 | + | 0.736277i | ||||
\(697\) | −64.8922 | + | 100.974i | −0.0931021 | + | 0.144870i | ||||
\(698\) | −344.537 | − | 245.344i | −0.493606 | − | 0.351495i | ||||
\(699\) | 167.255 | − | 289.695i | 0.239278 | − | 0.414442i | ||||
\(700\) | −209.519 | + | 120.966i | −0.299313 | + | 0.172808i | ||||
\(701\) | 37.9277 | − | 397.197i | 0.0541051 | − | 0.566615i | −0.927254 | − | 0.374433i | \(-0.877838\pi\) |
0.981359 | − | 0.192182i | \(-0.0615564\pi\) | |||||||
\(702\) | −19.5041 | − | 101.197i | −0.0277836 | − | 0.144155i | ||||
\(703\) | −379.564 | − | 298.492i | −0.539920 | − | 0.424598i | ||||
\(704\) | −482.615 | + | 613.695i | −0.685532 | + | 0.871725i | ||||
\(705\) | 236.076 | − | 45.4999i | 0.334860 | − | 0.0645389i | ||||
\(706\) | 442.653 | + | 42.2683i | 0.626988 | + | 0.0598701i | ||||
\(707\) | 10.2840 | + | 17.8124i | 0.0145460 | + | 0.0251943i | ||||
\(708\) | 232.411 | + | 134.183i | 0.328265 | + | 0.189524i | ||||
\(709\) | −497.633 | + | 698.828i | −0.701880 | + | 0.985653i | 0.297640 | + | 0.954678i | \(0.403800\pi\) |
−0.999520 | + | 0.0309746i | \(0.990139\pi\) | |||||||
\(710\) | −471.758 | − | 303.181i | −0.664448 | − | 0.427015i | ||||
\(711\) | 5.12959 | + | 5.37976i | 0.00721462 | + | 0.00756647i | ||||
\(712\) | −4.93395 | − | 2.25326i | −0.00692971 | − | 0.00316469i | ||||
\(713\) | −148.365 | + | 505.283i | −0.208085 | + | 0.708672i | ||||
\(714\) | 52.8683 | − | 274.307i | 0.0740453 | − | 0.384183i | ||||
\(715\) | 1333.38 | − | 1155.38i | 1.86486 | − | 1.61591i | ||||
\(716\) | 56.0418 | + | 108.706i | 0.0782707 | + | 0.151824i | ||||
\(717\) | 54.2447 | + | 156.730i | 0.0756552 | + | 0.218591i | ||||
\(718\) | −21.7423 | − | 54.3097i | −0.0302818 | − | 0.0756403i | ||||
\(719\) | −526.682 | − | 502.190i | −0.732520 | − | 0.698456i | 0.228928 | − | 0.973443i | \(-0.426478\pi\) |
−0.961448 | + | 0.274987i | \(0.911326\pi\) | |||||||
\(720\) | 6.16810 | − | 1.49636i | 0.00856680 | − | 0.00207828i | ||||
\(721\) | 305.971 | − | 593.501i | 0.424370 | − | 0.823163i | ||||
\(722\) | 1088.72 | + | 156.535i | 1.50793 | + | 0.216807i | ||||
\(723\) | −118.797 | − | 404.585i | −0.164311 | − | 0.559592i | ||||
\(724\) | −692.927 | + | 66.1665i | −0.957082 | + | 0.0913902i | ||||
\(725\) | 296.229 | + | 415.996i | 0.408592 | + | 0.573787i | ||||
\(726\) | −24.5346 | − | 515.045i | −0.0337943 | − | 0.709429i | ||||
\(727\) | 1038.23 | + | 359.335i | 1.42810 | + | 0.494271i | 0.928288 | − | 0.371862i | \(-0.121280\pi\) |
0.499814 | + | 0.866133i | \(0.333402\pi\) | |||||||
\(728\) | 1309.37 | − | 188.259i | 1.79858 | − | 0.258597i | ||||
\(729\) | −11.2162 | − | 24.5601i | −0.0153857 | − | 0.0336901i | ||||
\(730\) | 205.187 | + | 82.1445i | 0.281078 | + | 0.112527i | ||||
\(731\) | 5.36614 | + | 0.255621i | 0.00734082 | + | 0.000349686i | ||||
\(732\) | −223.895 | + | 143.889i | −0.305868 | + | 0.196569i | ||||
\(733\) | −266.517 | − | 64.6563i | −0.363597 | − | 0.0882077i | 0.0497983 | − | 0.998759i | \(-0.484142\pi\) |
−0.413395 | + | 0.910552i | \(0.635657\pi\) | |||||||
\(734\) | 265.301 | − | 306.173i | 0.361445 | − | 0.417130i | ||||
\(735\) | 468.727 | − | 368.611i | 0.637724 | − | 0.501512i | ||||
\(736\) | − | 776.203i | − | 1.05462i | ||||||
\(737\) | 69.0572 | + | 1267.09i | 0.0937004 | + | 1.71926i | ||||
\(738\) | 36.3078 | 0.0491975 | ||||||||
\(739\) | −64.8428 | − | 82.4543i | −0.0877440 | − | 0.111576i | 0.740199 | − | 0.672388i | \(-0.234731\pi\) |
−0.827943 | + | 0.560812i | \(0.810489\pi\) | |||||||
\(740\) | −148.265 | − | 128.472i | −0.200357 | − | 0.173611i | ||||
\(741\) | 227.675 | − | 938.489i | 0.307254 | − | 1.26652i | ||||
\(742\) | −395.400 | − | 615.254i | −0.532884 | − | 0.829183i | ||||
\(743\) | 38.4198 | − | 806.530i | 0.0517090 | − | 1.08551i | −0.812689 | − | 0.582697i | \(-0.801997\pi\) |
0.864398 | − | 0.502808i | \(-0.167700\pi\) | |||||||
\(744\) | 111.750 | − | 279.138i | 0.150202 | − | 0.375185i | ||||
\(745\) | 603.451 | − | 275.587i | 0.810002 | − | 0.369915i | ||||
\(746\) | 69.6127 | + | 484.167i | 0.0933146 | + | 0.649017i | ||||
\(747\) | 32.1695 | − | 92.9477i | 0.0430649 | − | 0.124428i | ||||
\(748\) | 571.370 | − | 27.2177i | 0.763863 | − | 0.0363873i | ||||
\(749\) | −348.811 | + | 248.387i | −0.465702 | + | 0.331625i | ||||
\(750\) | 18.6826 | + | 195.653i | 0.0249102 | + | 0.260871i | ||||
\(751\) | −473.606 | + | 139.063i | −0.630634 | + | 0.185171i | −0.581402 | − | 0.813617i | \(-0.697496\pi\) |
−0.0492320 | + | 0.998787i | \(0.515677\pi\) | |||||||
\(752\) | 1.20811 | − | 8.40261i | 0.00160653 | − | 0.0111737i | ||||
\(753\) | −54.1790 | − | 27.9312i | −0.0719509 | − | 0.0370933i | ||||
\(754\) | −248.901 | − | 1025.98i | −0.330107 | − | 1.36072i | ||||
\(755\) | 902.166 | − | 946.165i | 1.19492 | − | 1.25320i | ||||
\(756\) | 121.644 | − | 48.6990i | 0.160905 | − | 0.0644166i | ||||
\(757\) | −264.058 | + | 91.3914i | −0.348822 | + | 0.120728i | −0.495860 | − | 0.868402i | \(-0.665147\pi\) |
0.147038 | + | 0.989131i | \(0.453026\pi\) | |||||||
\(758\) | 515.408 | − | 265.711i | 0.679958 | − | 0.350543i | ||||
\(759\) | 524.905 | + | 605.773i | 0.691575 | + | 0.798120i | ||||
\(760\) | 1637.61 | + | 315.623i | 2.15475 | + | 0.415293i | ||||
\(761\) | −793.408 | − | 232.965i | −1.04259 | − | 0.306131i | −0.284767 | − | 0.958597i | \(-0.591916\pi\) |
−0.757818 | + | 0.652466i | \(0.773735\pi\) | |||||||
\(762\) | −193.255 | + | 423.170i | −0.253616 | + | 0.555341i | ||||
\(763\) | −1560.83 | + | 1488.25i | −2.04565 | + | 1.95052i | ||||
\(764\) | −257.631 | + | 400.881i | −0.337213 | + | 0.524713i | ||||
\(765\) | −178.512 | − | 127.118i | −0.233349 | − | 0.166167i | ||||
\(766\) | 438.850 | − | 760.111i | 0.572912 | − | 0.992312i | ||||
\(767\) | −873.927 | + | 504.562i | −1.13941 | + | 0.657839i | ||||
\(768\) | −42.7031 | + | 447.207i | −0.0556030 | + | 0.582301i | ||||
\(769\) | 120.011 | + | 622.677i | 0.156061 | + | 0.809723i | 0.972609 | + | 0.232445i | \(0.0746727\pi\) |
−0.816548 | + | 0.577277i | \(0.804115\pi\) | |||||||
\(770\) | −1137.14 | − | 894.255i | −1.47680 | − | 1.16137i | ||||
\(771\) | 295.236 | − | 375.423i | 0.382926 | − | 0.486930i | ||||
\(772\) | −124.684 | + | 24.0308i | −0.161507 | + | 0.0311280i | ||||
\(773\) | 8.04933 | + | 0.768618i | 0.0104131 | + | 0.000994331i | 0.100261 | − | 0.994961i | \(-0.468032\pi\) |
−0.0898482 | + | 0.995955i | \(0.528638\pi\) | |||||||
\(774\) | −0.812532 | − | 1.40735i | −0.00104978 | − | 0.00181828i | ||||
\(775\) | −179.075 | − | 103.389i | −0.231064 | − | 0.133405i | ||||
\(776\) | −538.708 | + | 756.510i | −0.694211 | + | 0.974884i | ||||
\(777\) | 207.253 | + | 133.194i | 0.266735 | + | 0.171420i | ||||
\(778\) | 253.313 | + | 265.667i | 0.325595 | + | 0.341474i | ||||
\(779\) | 309.475 | + | 141.333i | 0.397272 | + | 0.181428i | ||||
\(780\) | 110.538 | − | 376.457i | 0.141715 | − | 0.482637i | ||||
\(781\) | −272.897 | + | 1415.93i | −0.349420 | + | 1.81297i | ||||
\(782\) | 287.207 | − | 248.866i | 0.367272 | − | 0.318243i | ||||
\(783\) | −126.741 | − | 245.842i | −0.161865 | − | 0.313975i | ||||
\(784\) | −6.88639 | − | 19.8969i | −0.00878366 | − | 0.0253787i | ||||
\(785\) | 666.033 | + | 1663.67i | 0.848450 | + | 2.11932i | ||||
\(786\) | −114.220 | − | 108.909i | −0.145318 | − | 0.138561i | ||||
\(787\) | −472.626 | + | 114.658i | −0.600541 | + | 0.145690i | −0.524493 | − | 0.851415i | \(-0.675745\pi\) |
−0.0760475 | + | 0.997104i | \(0.524230\pi\) | |||||||
\(788\) | −189.302 | + | 367.194i | −0.240231 | + | 0.465982i | ||||
\(789\) | 172.032 | + | 24.7345i | 0.218039 | + | 0.0313492i | ||||
\(790\) | −5.14174 | − | 17.5112i | −0.00650853 | − | 0.0221660i | ||||
\(791\) | 1008.54 | − | 96.3036i | 1.27502 | − | 0.121749i | ||||
\(792\) | −265.465 | − | 372.794i | −0.335184 | − | 0.470700i | ||||
\(793\) | −47.6188 | − | 999.641i | −0.0600489 | − | 1.26058i | ||||
\(794\) | 733.936 | + | 254.018i | 0.924353 | + | 0.319922i | ||||
\(795\) | −567.890 | + | 81.6502i | −0.714327 | + | 0.102705i | ||||
\(796\) | −220.440 | − | 482.696i | −0.276935 | − | 0.606402i | ||||
\(797\) | −507.761 | − | 203.277i | −0.637091 | − | 0.255053i | 0.0305535 | − | 0.999533i | \(-0.490273\pi\) |
−0.667644 | + | 0.744480i | \(0.732697\pi\) | |||||||
\(798\) | −790.936 | − | 37.6769i | −0.991148 | − | 0.0472142i | ||||
\(799\) | −246.576 | + | 158.465i | −0.308606 | + | 0.198329i | ||||
\(800\) | 296.189 | + | 71.8546i | 0.370236 | + | 0.0898183i | ||||
\(801\) | 1.32301 | − | 1.52683i | 0.00165169 | − | 0.00190615i | ||||
\(802\) | −484.738 | + | 381.202i | −0.604411 | + | 0.475314i | ||||
\(803\) | − | 568.326i | − | 0.707754i | ||||||
\(804\) | 165.260 | + | 228.745i | 0.205548 | + | 0.284508i | ||||
\(805\) | 1490.27 | 1.85127 | ||||||||
\(806\) | 264.244 | + | 336.014i | 0.327846 | + | 0.416890i | ||||
\(807\) | 336.176 | + | 291.298i | 0.416575 | + | 0.360964i | ||||
\(808\) | 3.76639 | − | 15.5253i | 0.00466137 | − | 0.0192144i | ||||
\(809\) | 381.622 | + | 593.816i | 0.471721 | + | 0.734012i | 0.992837 | − | 0.119473i | \(-0.0381206\pi\) |
−0.521116 | + | 0.853486i | \(0.674484\pi\) | |||||||
\(810\) | −3.15424 | + | 66.2157i | −0.00389412 | + | 0.0817477i | ||||
\(811\) | −51.5007 | + | 128.643i | −0.0635027 | + | 0.158622i | −0.956725 | − | 0.290993i | \(-0.906014\pi\) |
0.893223 | + | 0.449615i | \(0.148439\pi\) | |||||||
\(812\) | 1220.98 | − | 557.602i | 1.50367 | − | 0.686703i | ||||
\(813\) | −61.6288 | − | 428.638i | −0.0758042 | − | 0.527230i | ||||
\(814\) | 106.406 | − | 307.441i | 0.130720 | − | 0.377692i | ||||
\(815\) | −619.428 | + | 29.5070i | −0.760034 | + | 0.0362049i | ||||
\(816\) | −6.30309 | + | 4.48841i | −0.00772438 | + | 0.00550050i | ||||
\(817\) | −1.44747 | − | 15.1586i | −0.00177169 | − | 0.0185540i | ||||
\(818\) | 655.387 | − | 192.439i | 0.801207 | − | 0.235256i | ||||
\(819\) | −70.1195 | + | 487.692i | −0.0856161 | + | 0.595473i | ||||
\(820\) | 122.859 | + | 63.3384i | 0.149828 | + | 0.0772419i | ||||
\(821\) | −252.421 | − | 1040.49i | −0.307455 | − | 1.26735i | −0.890529 | − | 0.454927i | \(-0.849665\pi\) |
0.583074 | − | 0.812419i | \(-0.301850\pi\) | |||||||
\(822\) | 42.7026 | − | 44.7852i | 0.0519497 | − | 0.0544833i | ||||
\(823\) | −1494.17 | + | 598.174i | −1.81551 | + | 0.726821i | −0.829873 | + | 0.557953i | \(0.811587\pi\) |
−0.985639 | + | 0.168869i | \(0.945989\pi\) | |||||||
\(824\) | −490.114 | + | 169.630i | −0.594799 | + | 0.205862i | ||||
\(825\) | −279.746 | + | 144.219i | −0.339086 | + | 0.174811i | ||||
\(826\) | 541.852 | + | 625.330i | 0.655995 | + | 0.757058i | ||||
\(827\) | 539.845 | + | 104.047i | 0.652774 | + | 0.125812i | 0.504878 | − | 0.863191i | \(-0.331538\pi\) |
0.147897 | + | 0.989003i | \(0.452750\pi\) | |||||||
\(828\) | 171.030 | + | 50.2190i | 0.206558 | + | 0.0606509i | ||||
\(829\) | −46.4553 | + | 101.723i | −0.0560377 | + | 0.122705i | −0.935579 | − | 0.353116i | \(-0.885122\pi\) |
0.879542 | + | 0.475822i | \(0.157849\pi\) | |||||||
\(830\) | −174.773 | + | 166.646i | −0.210570 | + | 0.200778i | ||||
\(831\) | −386.177 | + | 600.904i | −0.464714 | + | 0.723109i | ||||
\(832\) | −531.800 | − | 378.693i | −0.639183 | − | 0.455160i | ||||
\(833\) | −363.489 | + | 629.581i | −0.436361 | + | 0.755800i | ||||
\(834\) | −3.93892 | + | 2.27414i | −0.00472293 | + | 0.00272678i | ||||
\(835\) | −80.2410 | + | 840.321i | −0.0960970 | + | 1.00637i | ||||
\(836\) | −306.849 | − | 1592.08i | −0.367044 | − | 1.90441i | ||||
\(837\) | 88.0307 | + | 69.2281i | 0.105174 | + | 0.0827098i | ||||
\(838\) | −221.642 | + | 281.841i | −0.264490 | + | 0.336326i | ||||
\(839\) | −432.701 | + | 83.3962i | −0.515734 | + | 0.0993995i | −0.440476 | − | 0.897765i | \(-0.645190\pi\) |
−0.0752580 | + | 0.997164i | \(0.523978\pi\) | |||||||
\(840\) | −847.034 | − | 80.8819i | −1.00837 | − | 0.0962880i | ||||
\(841\) | −996.196 | − | 1725.46i | −1.18454 | − | 2.05168i | ||||
\(842\) | 264.719 | + | 152.835i | 0.314393 | + | 0.181515i | ||||
\(843\) | 408.939 | − | 574.275i | 0.485100 | − | 0.681228i | ||||
\(844\) | 284.623 | + | 182.916i | 0.337232 | + | 0.216726i | ||||
\(845\) | 332.159 | + | 348.358i | 0.393087 | + | 0.412258i | ||||
\(846\) | 80.6504 | + | 36.8318i | 0.0953315 | + | 0.0435364i | ||||
\(847\) | −694.508 | + | 2365.28i | −0.819962 | + | 2.79253i | ||||
\(848\) | −3.83382 | + | 19.8917i | −0.00452101 | + | 0.0234572i | ||||
\(849\) | −460.816 | + | 399.299i | −0.542775 | + | 0.470317i | ||||
\(850\) | 68.3766 | + | 132.632i | 0.0804431 | + | 0.156038i | ||||
\(851\) | 109.616 | + | 316.714i | 0.128808 | + | 0.372166i | ||||
\(852\) | 119.181 | + | 297.701i | 0.139884 | + | 0.349414i | ||||
\(853\) | 392.942 | + | 374.669i | 0.460659 | + | 0.439237i | 0.884529 | − | 0.466486i | \(-0.154480\pi\) |
−0.423870 | + | 0.905723i | \(0.639329\pi\) | |||||||
\(854\) | −797.453 | + | 193.460i | −0.933785 | + | 0.226534i | ||||
\(855\) | −284.638 | + | 552.122i | −0.332910 | + | 0.645756i | ||||
\(856\) | 329.215 | + | 47.3340i | 0.384598 | + | 0.0552968i | ||||
\(857\) | −24.2679 | − | 82.6488i | −0.0283172 | − | 0.0964396i | 0.944122 | − | 0.329596i | \(-0.106913\pi\) |
−0.972439 | + | 0.233157i | \(0.925094\pi\) | |||||||
\(858\) | 647.698 | − | 61.8477i | 0.754893 | − | 0.0720835i | ||||
\(859\) | 664.059 | + | 932.541i | 0.773061 | + | 1.08561i | 0.993898 | + | 0.110301i | \(0.0351816\pi\) |
−0.220838 | + | 0.975311i | \(0.570879\pi\) | |||||||
\(860\) | −0.294374 | − | 6.17967i | −0.000342295 | − | 0.00718566i | ||||
\(861\) | −164.034 | − | 56.7728i | −0.190516 | − | 0.0659382i | ||||
\(862\) | 873.970 | − | 125.658i | 1.01389 | − | 0.145775i | ||||
\(863\) | −329.086 | − | 720.597i | −0.381328 | − | 0.834991i | −0.998827 | − | 0.0484197i | \(-0.984581\pi\) |
0.617499 | − | 0.786571i | \(-0.288146\pi\) | |||||||
\(864\) | −153.244 | − | 61.3498i | −0.177366 | − | 0.0710067i | ||||
\(865\) | −479.913 | − | 22.8611i | −0.554813 | − | 0.0264290i | ||||
\(866\) | −437.859 | + | 281.395i | −0.505611 | + | 0.324936i | ||||
\(867\) | −226.813 | − | 55.0242i | −0.261606 | − | 0.0634650i | ||||
\(868\) | −355.909 | + | 410.740i | −0.410033 | + | 0.473203i | ||||
\(869\) | −36.8887 | + | 29.0096i | −0.0424496 | + | 0.0333827i | ||||
\(870\) | 679.085i | 0.780558i | ||||||||
\(871\) | −1055.61 | + | 108.097i | −1.21196 | + | 0.124107i | ||||
\(872\) | 1675.10 | 1.92099 | ||||||||
\(873\) | −213.829 | − | 271.906i | −0.244936 | − | 0.311461i | ||||
\(874\) | −814.088 | − | 705.411i | −0.931451 | − | 0.807107i | ||||
\(875\) | 221.528 | − | 913.152i | 0.253175 | − | 1.04360i | ||||
\(876\) | −68.3291 | − | 106.322i | −0.0780012 | − | 0.121372i | ||||
\(877\) | −40.7360 | + | 855.153i | −0.0464492 | + | 0.975089i | 0.848576 | + | 0.529074i | \(0.177460\pi\) |
−0.895025 | + | 0.446016i | \(0.852843\pi\) | |||||||
\(878\) | −114.135 | + | 285.096i | −0.129994 | + | 0.324710i | ||||
\(879\) | −54.6508 | + | 24.9582i | −0.0621738 | + | 0.0283938i | ||||
\(880\) | 5.70265 | + | 39.6628i | 0.00648028 | + | 0.0450713i | ||||
\(881\) | −32.7669 | + | 94.6738i | −0.0371929 | + | 0.107462i | −0.962068 | − | 0.272808i | \(-0.912048\pi\) |
0.924876 | + | 0.380270i | \(0.124169\pi\) | |||||||
\(882\) | 219.657 | − | 10.4636i | 0.249044 | − | 0.0118634i | ||||
\(883\) | −322.929 | + | 229.957i | −0.365718 | + | 0.260426i | −0.748112 | − | 0.663573i | \(-0.769039\pi\) |
0.382394 | + | 0.923999i | \(0.375100\pi\) | |||||||
\(884\) | 45.4680 | + | 476.163i | 0.0514344 | + | 0.538645i | ||||
\(885\) | 622.806 | − | 182.872i | 0.703736 | − | 0.206635i | ||||
\(886\) | 41.7924 | − | 290.672i | 0.0471697 | − | 0.328073i | ||||
\(887\) | 858.152 | + | 442.408i | 0.967476 | + | 0.498769i | 0.868158 | − | 0.496287i | \(-0.165304\pi\) |
0.0993178 | + | 0.995056i | \(0.468334\pi\) | |||||||
\(888\) | −45.1137 | − | 185.961i | −0.0508037 | − | 0.209416i | ||||
\(889\) | 1534.79 | − | 1609.65i | 1.72643 | − | 1.81063i | ||||
\(890\) | −4.60492 | + | 1.84353i | −0.00517407 | + | 0.00207138i | ||||
\(891\) | 161.084 | − | 55.7518i | 0.180790 | − | 0.0625722i | ||||
\(892\) | 776.033 | − | 400.073i | 0.869993 | − | 0.448512i | ||||
\(893\) | 544.064 | + | 627.884i | 0.609255 | + | 0.703117i | ||||
\(894\) | 240.229 | + | 46.3003i | 0.268713 | + | 0.0517901i | ||||
\(895\) | 283.830 | + | 83.3400i | 0.317128 | + | 0.0931173i | ||||
\(896\) | 325.016 | − | 711.685i | 0.362741 | − | 0.794291i | ||||
\(897\) | −485.096 | + | 462.538i | −0.540798 | + | 0.515650i | ||||
\(898\) | 56.3229 | − | 87.6401i | 0.0627204 | − | 0.0975948i | ||||
\(899\) | 934.513 | + | 665.464i | 1.03950 | + | 0.740226i | ||||
\(900\) | −34.9955 | + | 60.6139i | −0.0388838 | + | 0.0673488i | ||||
\(901\) | 605.746 | − | 349.728i | 0.672304 | − | 0.388155i | ||||
\(902\) | −21.7890 | + | 228.184i | −0.0241563 | + | 0.252976i | ||||
\(903\) | 1.47032 | + | 7.62874i | 0.00162826 | + | 0.00844822i | ||||
\(904\) | −618.558 | − | 486.439i | −0.684245 | − | 0.538096i | ||||
\(905\) | −1040.74 | + | 1323.41i | −1.14999 | + | 1.46233i | ||||
\(906\) | 473.409 | − | 91.2421i | 0.522527 | − | 0.100709i | ||||
\(907\) | −1030.35 | − | 98.3866i | −1.13600 | − | 0.108475i | −0.489936 | − | 0.871759i | \(-0.662980\pi\) |
−0.646063 | + | 0.763284i | \(0.723586\pi\) | |||||||
\(908\) | −309.605 | − | 536.251i | −0.340974 | − | 0.590585i | ||||
\(909\) | 5.15313 | + | 2.97516i | 0.00566901 | + | 0.00327300i | ||||
\(910\) | 701.695 | − | 985.393i | 0.771094 | − | 1.08285i | ||||
\(911\) | 555.563 | + | 357.039i | 0.609838 | + | 0.391919i | 0.808796 | − | 0.588089i | \(-0.200119\pi\) |
−0.198958 | + | 0.980008i | \(0.563756\pi\) | |||||||
\(912\) | 15.1355 | + | 15.8737i | 0.0165960 | + | 0.0174054i | ||||
\(913\) | 564.845 | + | 257.956i | 0.618669 | + | 0.282537i | ||||
\(914\) | 9.13419 | − | 31.1082i | 0.00999365 | − | 0.0340352i | ||||
\(915\) | −121.826 | + | 632.095i | −0.133144 | + | 0.690814i | ||||
\(916\) | −99.3169 | + | 86.0586i | −0.108425 | + | 0.0939504i | ||||
\(917\) | 345.737 | + | 670.636i | 0.377031 | + | 0.731337i | ||||
\(918\) | −26.4328 | − | 76.3727i | −0.0287939 | − | 0.0831946i | ||||
\(919\) | −206.650 | − | 516.187i | −0.224864 | − | 0.561683i | 0.772438 | − | 0.635090i | \(-0.219037\pi\) |
−0.997302 | + | 0.0734071i | \(0.976613\pi\) | |||||||
\(920\) | −837.742 | − | 798.786i | −0.910590 | − | 0.868245i | ||||
\(921\) | −175.427 | + | 42.5582i | −0.190475 | + | 0.0462087i | ||||
\(922\) | 165.198 | − | 320.439i | 0.179173 | − | 0.347548i | ||||
\(923\) | −1193.53 | − | 171.604i | −1.29310 | − | 0.185920i | ||||
\(924\) | 233.059 | + | 793.725i | 0.252228 | + | 0.859010i | ||||
\(925\) | −131.001 | + | 12.5091i | −0.141623 | + | 0.0135233i | ||||
\(926\) | −69.4201 | − | 97.4869i | −0.0749677 | − | 0.105277i | ||||
\(927\) | −9.19159 | − | 192.955i | −0.00991542 | − | 0.208150i | ||||
\(928\) | −1597.97 | − | 553.062i | −1.72195 | − | 0.595972i | ||||
\(929\) | 555.865 | − | 79.9213i | 0.598347 | − | 0.0860294i | 0.163515 | − | 0.986541i | \(-0.447717\pi\) |
0.434832 | + | 0.900511i | \(0.356808\pi\) | |||||||
\(930\) | −114.223 | − | 250.113i | −0.122820 | − | 0.268939i | ||||
\(931\) | 1913.01 | + | 765.855i | 2.05479 | + | 0.822615i | ||||
\(932\) | 469.109 | + | 22.3464i | 0.503336 | + | 0.0239768i | ||||
\(933\) | 289.124 | − | 185.809i | 0.309886 | − | 0.199152i | ||||
\(934\) | −553.580 | − | 134.297i | −0.592698 | − | 0.143787i | ||||
\(935\) | 906.030 | − | 1045.61i | 0.969016 | − | 1.11830i | ||||
\(936\) | 300.820 | − | 236.567i | 0.321388 | − | 0.252743i | ||||
\(937\) | − | 1634.01i | − | 1.74387i | −0.489618 | − | 0.871937i | \(-0.662864\pi\) | ||
0.489618 | − | 0.871937i | \(-0.337136\pi\) | |||||||
\(938\) | 250.838 | + | 833.133i | 0.267418 | + | 0.888202i | ||||
\(939\) | 92.9484 | 0.0989866 | ||||||||
\(940\) | 208.655 | + | 265.326i | 0.221973 | + | 0.282262i | ||||
\(941\) | −554.287 | − | 480.293i | −0.589041 | − | 0.510407i | 0.308567 | − | 0.951203i | \(-0.400151\pi\) |
−0.897607 | + | 0.440796i | \(0.854696\pi\) | |||||||
\(942\) | −155.806 | + | 642.241i | −0.165399 | + | 0.681785i | ||||
\(943\) | −127.665 | − | 198.650i | −0.135381 | − | 0.210658i | ||||
\(944\) | 1.09053 | − | 22.8931i | 0.00115522 | − | 0.0242512i | ||||
\(945\) | 117.789 | − | 294.222i | 0.124644 | − | 0.311346i | ||||
\(946\) | 9.33240 | − | 4.26196i | 0.00986511 | − | 0.00450525i | ||||
\(947\) | 160.421 | + | 1115.75i | 0.169399 | + | 1.17820i | 0.880129 | + | 0.474734i | \(0.157456\pi\) |
−0.710730 | + | 0.703465i | \(0.751635\pi\) | |||||||
\(948\) | −3.41333 | + | 9.86216i | −0.00360056 | + | 0.0104031i | ||||
\(949\) | 474.703 | − | 22.6129i | 0.500214 | − | 0.0238281i | ||||
\(950\) | 344.537 | − | 245.344i | 0.362671 | − | 0.258257i | ||||
\(951\) | −34.3525 | − | 359.755i | −0.0361225 | − | 0.378292i | ||||
\(952\) | 995.328 | − | 292.255i | 1.04551 | − | 0.306990i | ||||
\(953\) | 85.0961 | − | 591.856i | 0.0892929 | − | 0.621046i | −0.895206 | − | 0.445653i | \(-0.852971\pi\) |
0.984499 | − | 0.175392i | \(-0.0561194\pi\) | |||||||
\(954\) | −188.061 | − | 96.9520i | −0.197128 | − | 0.101627i | ||||
\(955\) | 271.732 | + | 1120.10i | 0.284536 | + | 1.17287i | ||||
\(956\) | −160.685 | + | 168.521i | −0.168080 | + | 0.176277i | ||||
\(957\) | 1621.11 | − | 648.995i | 1.69395 | − | 0.678155i | ||||
\(958\) | 672.779 | − | 232.851i | 0.702275 | − | 0.243060i | ||||
\(959\) | −262.954 | + | 135.562i | −0.274196 | + | 0.141358i | ||||
\(960\) | 275.000 | + | 317.367i | 0.286458 | + | 0.330590i | ||||
\(961\) | 487.512 | + | 93.9602i | 0.507297 | + | 0.0977734i | ||||
\(962\) | 261.029 | + | 76.6449i | 0.271340 | + | 0.0796725i | ||||
\(963\) | −51.4623 | + | 112.687i | −0.0534396 | + | 0.117016i | ||||
\(964\) | 428.453 | − | 408.529i | 0.444453 | − | 0.423785i | ||||
\(965\) | −166.044 | + | 258.369i | −0.172066 | + | 0.267740i | ||||
\(966\) | 447.679 | + | 318.791i | 0.463436 | + | 0.330011i | ||||
\(967\) | 409.185 | − | 708.729i | 0.423149 | − | 0.732915i | −0.573097 | − | 0.819488i | \(-0.694258\pi\) |
0.996246 | + | 0.0865725i | \(0.0275914\pi\) | |||||||
\(968\) | 1658.20 | − | 957.360i | 1.71301 | − | 0.989008i | ||||
\(969\) | 71.9856 | − | 753.868i | 0.0742886 | − | 0.777985i | ||||
\(970\) | 160.729 | + | 833.941i | 0.165700 | + | 0.859733i | ||||
\(971\) | −1298.04 | − | 1020.79i | −1.33681 | − | 1.05128i | −0.993711 | − | 0.111979i | \(-0.964281\pi\) |
−0.343099 | − | 0.939299i | \(-0.611476\pi\) | |||||||
\(972\) | 23.4326 | − | 29.7969i | 0.0241076 | − | 0.0306553i | ||||
\(973\) | 21.3515 | − | 4.11517i | 0.0219440 | − | 0.00422937i | ||||
\(974\) | 188.868 | + | 18.0347i | 0.193909 | + | 0.0185161i | ||||
\(975\) | −131.592 | − | 227.924i | −0.134966 | − | 0.233768i | ||||
\(976\) | 19.6842 | + | 11.3647i | 0.0201683 | + | 0.0116442i | ||||
\(977\) | −339.662 | + | 476.989i | −0.347658 | + | 0.488218i | −0.950968 | − | 0.309289i | \(-0.899909\pi\) |
0.603310 | + | 0.797507i | \(0.293848\pi\) | |||||||
\(978\) | −192.388 | − | 123.641i | −0.196716 | − | 0.126422i | ||||
\(979\) | 8.80174 | + | 9.23100i | 0.00899054 | + | 0.00942901i | ||||
\(980\) | 761.535 | + | 347.781i | 0.777077 | + | 0.354879i | ||||
\(981\) | −175.777 | + | 598.642i | −0.179182 | + | 0.610237i | ||||
\(982\) | −120.110 | + | 623.188i | −0.122311 | + | 0.634611i | ||||
\(983\) | 611.245 | − | 529.647i | 0.621816 | − | 0.538806i | −0.285971 | − | 0.958238i | \(-0.592316\pi\) |
0.907787 | + | 0.419432i | \(0.137771\pi\) | |||||||
\(984\) | 61.7800 | + | 119.836i | 0.0627845 | + | 0.121785i | ||||
\(985\) | 326.811 | + | 944.258i | 0.331788 | + | 0.958638i | ||||
\(986\) | −307.699 | − | 768.595i | −0.312068 | − | 0.779508i | ||||
\(987\) | −306.777 | − | 292.511i | −0.310817 | − | 0.296364i | ||||
\(988\) | 1317.60 | − | 319.647i | 1.33361 | − | 0.323530i | ||||
\(989\) | −4.84298 | + | 9.39407i | −0.00489685 | + | 0.00949856i | ||||
\(990\) | −414.254 | − | 59.5608i | −0.418439 | − | 0.0601624i | ||||
\(991\) | 541.341 | + | 1843.64i | 0.546257 | + | 1.86038i | 0.508443 | + | 0.861095i | \(0.330221\pi\) |
0.0378135 | + | 0.999285i | \(0.487961\pi\) | |||||||
\(992\) | 681.572 | − | 65.0823i | 0.687069 | − | 0.0656071i | ||||
\(993\) | 298.159 | + | 418.706i | 0.300261 | + | 0.421657i | ||||
\(994\) | 47.0442 | + | 987.579i | 0.0473282 | + | 0.993540i | ||||
\(995\) | −1212.90 | − | 419.789i | −1.21899 | − | 0.421898i | ||||
\(996\) | 136.684 | − | 19.6523i | 0.137233 | − | 0.0197312i | ||||
\(997\) | 634.765 | + | 1389.94i | 0.636675 | + | 1.39412i | 0.902747 | + | 0.430171i | \(0.141547\pi\) |
−0.266072 | + | 0.963953i | \(0.585726\pi\) | |||||||
\(998\) | −241.276 | − | 96.5924i | −0.241760 | − | 0.0967860i | ||||
\(999\) | 71.1920 | + | 3.39130i | 0.0712633 | + | 0.00339469i |
(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 | 201.3.n.b.13.8 | ✓ | 240 | |
67.31 | odd | 66 | inner | 201.3.n.b.31.8 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.3.n.b.13.8 | ✓ | 240 | 1.1 | even | 1 | trivial | |
201.3.n.b.31.8 | yes | 240 | 67.31 | odd | 66 | inner |