Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [287,3,Mod(40,287)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(287, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5, 3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("287.40");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 287 = 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 287.i (of order \(6\), degree \(2\), 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: | \(7.82018358714\) |
Analytic rank: | \(0\) |
Dimension: | \(108\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 40.11 | ||
Character | \(\chi\) | \(=\) | 287.40 |
Dual form | 287.3.i.a.122.11 |
$q$-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 \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).
\(n\) | \(206\) | \(211\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.24731 | + | 2.16040i | −0.623655 | + | 1.08020i | 0.365145 | + | 0.930951i | \(0.381019\pi\) |
−0.988799 | + | 0.149251i | \(0.952314\pi\) | |||||||
\(3\) | −0.923338 | − | 1.59927i | −0.307779 | − | 0.533090i | 0.670097 | − | 0.742274i | \(-0.266253\pi\) |
−0.977876 | + | 0.209184i | \(0.932919\pi\) | |||||||
\(4\) | −1.11156 | − | 1.92528i | −0.277890 | − | 0.481320i | ||||
\(5\) | −1.05182 | − | 0.607270i | −0.210364 | − | 0.121454i | 0.391116 | − | 0.920341i | \(-0.372089\pi\) |
−0.601481 | + | 0.798887i | \(0.705422\pi\) | |||||||
\(6\) | 4.60675 | 0.767792 | ||||||||
\(7\) | 4.85778 | + | 5.04004i | 0.693968 | + | 0.720005i | ||||
\(8\) | −4.43264 | −0.554079 | ||||||||
\(9\) | 2.79489 | − | 4.84090i | 0.310544 | − | 0.537877i | ||||
\(10\) | 2.62389 | − | 1.51491i | 0.262389 | − | 0.151491i | ||||
\(11\) | −10.0837 | + | 5.82181i | −0.916698 | + | 0.529256i | −0.882580 | − | 0.470162i | \(-0.844195\pi\) |
−0.0341178 | + | 0.999418i | \(0.510862\pi\) | |||||||
\(12\) | −2.05269 | + | 3.55537i | −0.171058 | + | 0.296281i | ||||
\(13\) | 16.4289 | 1.26376 | 0.631882 | − | 0.775065i | \(-0.282283\pi\) | ||||
0.631882 | + | 0.775065i | \(0.282283\pi\) | |||||||
\(14\) | −16.9477 | + | 4.20827i | −1.21055 | + | 0.300591i | ||||
\(15\) | 2.24286i | 0.149524i | ||||||||
\(16\) | 9.97511 | − | 17.2774i | 0.623444 | − | 1.07984i | ||||
\(17\) | 6.92311 | + | 11.9912i | 0.407242 | + | 0.705363i | 0.994580 | − | 0.103978i | \(-0.0331573\pi\) |
−0.587338 | + | 0.809342i | \(0.699824\pi\) | |||||||
\(18\) | 6.97219 | + | 12.0762i | 0.387344 | + | 0.670899i | ||||
\(19\) | −12.3068 | + | 21.3159i | −0.647724 | + | 1.12189i | 0.335941 | + | 0.941883i | \(0.390946\pi\) |
−0.983665 | + | 0.180008i | \(0.942388\pi\) | |||||||
\(20\) | 2.70007i | 0.135003i | ||||||||
\(21\) | 3.57500 | − | 12.4226i | 0.170238 | − | 0.591550i | ||||
\(22\) | − | 29.0464i | − | 1.32029i | ||||||
\(23\) | −18.8731 | + | 32.6892i | −0.820571 | + | 1.42127i | 0.0846863 | + | 0.996408i | \(0.473011\pi\) |
−0.905258 | + | 0.424863i | \(0.860322\pi\) | |||||||
\(24\) | 4.09282 | + | 7.08898i | 0.170534 | + | 0.295374i | ||||
\(25\) | −11.7624 | − | 20.3732i | −0.470498 | − | 0.814926i | ||||
\(26\) | −20.4919 | + | 35.4931i | −0.788152 | + | 1.36512i | ||||
\(27\) | −26.9426 | −0.997875 | ||||||||
\(28\) | 4.30376 | − | 14.9549i | 0.153706 | − | 0.534103i | ||||
\(29\) | 14.1571i | 0.488176i | 0.969753 | + | 0.244088i | \(0.0784886\pi\) | ||||
−0.969753 | + | 0.244088i | \(0.921511\pi\) | |||||||
\(30\) | −4.84549 | − | 2.79754i | −0.161516 | − | 0.0932514i | ||||
\(31\) | −39.7485 | + | 22.9488i | −1.28221 | + | 0.740283i | −0.977252 | − | 0.212083i | \(-0.931975\pi\) |
−0.304957 | + | 0.952366i | \(0.598642\pi\) | |||||||
\(32\) | 16.0188 | + | 27.7454i | 0.500588 | + | 0.867044i | ||||
\(33\) | 18.6213 | + | 10.7510i | 0.564282 | + | 0.325788i | ||||
\(34\) | −34.5410 | −1.01591 | ||||||||
\(35\) | −2.04886 | − | 8.25121i | −0.0585388 | − | 0.235749i | ||||
\(36\) | −12.4268 | −0.345188 | ||||||||
\(37\) | −5.97634 | + | 10.3513i | −0.161523 | + | 0.279766i | −0.935415 | − | 0.353552i | \(-0.884974\pi\) |
0.773892 | + | 0.633317i | \(0.218307\pi\) | |||||||
\(38\) | −30.7007 | − | 53.1751i | −0.807912 | − | 1.39934i | ||||
\(39\) | −15.1695 | − | 26.2743i | −0.388960 | − | 0.673699i | ||||
\(40\) | 4.66234 | + | 2.69181i | 0.116559 | + | 0.0672951i | ||||
\(41\) | −4.76832 | − | 40.7218i | −0.116301 | − | 0.993214i | ||||
\(42\) | 22.3786 | + | 23.2182i | 0.532824 | + | 0.552815i | ||||
\(43\) | 38.2160 | 0.888743 | 0.444372 | − | 0.895843i | \(-0.353427\pi\) | ||||
0.444372 | + | 0.895843i | \(0.353427\pi\) | |||||||
\(44\) | 22.4172 | + | 12.9426i | 0.509483 | + | 0.294150i | ||||
\(45\) | −5.87946 | + | 3.39451i | −0.130655 | + | 0.0754335i | ||||
\(46\) | −47.0813 | − | 81.5472i | −1.02351 | − | 1.77276i | ||||
\(47\) | −2.49961 | + | 4.32944i | −0.0531831 | + | 0.0921158i | −0.891391 | − | 0.453234i | \(-0.850270\pi\) |
0.838208 | + | 0.545350i | \(0.183603\pi\) | |||||||
\(48\) | −36.8416 | −0.767533 | ||||||||
\(49\) | −1.80396 | + | 48.9668i | −0.0368156 | + | 0.999322i | ||||
\(50\) | 58.6856 | 1.17371 | ||||||||
\(51\) | 12.7847 | − | 22.1438i | 0.250681 | − | 0.434193i | ||||
\(52\) | −18.2617 | − | 31.6303i | −0.351187 | − | 0.608274i | ||||
\(53\) | −57.5506 | + | 33.2269i | −1.08586 | + | 0.626922i | −0.932471 | − | 0.361244i | \(-0.882352\pi\) |
−0.153390 | + | 0.988166i | \(0.549019\pi\) | |||||||
\(54\) | 33.6058 | − | 58.2069i | 0.622329 | − | 1.07791i | ||||
\(55\) | 14.1416 | 0.257121 | ||||||||
\(56\) | −21.5328 | − | 22.3407i | −0.384514 | − | 0.398940i | ||||
\(57\) | 45.4532 | 0.797424 | ||||||||
\(58\) | −30.5851 | − | 17.6583i | −0.527329 | − | 0.304453i | ||||
\(59\) | −24.6095 | + | 14.2083i | −0.417110 | + | 0.240818i | −0.693840 | − | 0.720129i | \(-0.744082\pi\) |
0.276730 | + | 0.960948i | \(0.410749\pi\) | |||||||
\(60\) | 4.31814 | − | 2.49308i | 0.0719689 | − | 0.0415513i | ||||
\(61\) | 36.6860 | + | 21.1807i | 0.601410 | + | 0.347224i | 0.769596 | − | 0.638531i | \(-0.220458\pi\) |
−0.168186 | + | 0.985755i | \(0.553791\pi\) | |||||||
\(62\) | − | 114.497i | − | 1.84672i | ||||||
\(63\) | 37.9753 | − | 9.42964i | 0.602782 | − | 0.149677i | ||||
\(64\) | −0.120803 | −0.00188755 | ||||||||
\(65\) | −17.2803 | − | 9.97679i | −0.265851 | − | 0.153489i | ||||
\(66\) | −46.4530 | + | 26.8197i | −0.703834 | + | 0.406358i | ||||
\(67\) | 43.7562 | − | 25.2626i | 0.653077 | − | 0.377054i | −0.136557 | − | 0.990632i | \(-0.543604\pi\) |
0.789634 | + | 0.613578i | \(0.210270\pi\) | |||||||
\(68\) | 15.3909 | − | 26.6578i | 0.226337 | − | 0.392027i | ||||
\(69\) | 69.7052 | 1.01022 | ||||||||
\(70\) | 20.3815 | + | 5.86545i | 0.291164 | + | 0.0837921i | ||||
\(71\) | 69.4365i | 0.977979i | 0.872290 | + | 0.488990i | \(0.162634\pi\) | ||||
−0.872290 | + | 0.488990i | \(0.837366\pi\) | |||||||
\(72\) | −12.3887 | + | 21.4579i | −0.172066 | + | 0.298027i | ||||
\(73\) | −81.7711 | + | 47.2106i | −1.12015 | + | 0.646720i | −0.941440 | − | 0.337181i | \(-0.890527\pi\) |
−0.178713 | + | 0.983901i | \(0.557193\pi\) | |||||||
\(74\) | −14.9087 | − | 25.8226i | −0.201469 | − | 0.348954i | ||||
\(75\) | −21.7214 | + | 37.6226i | −0.289619 | + | 0.501635i | ||||
\(76\) | 54.7188 | 0.719984 | ||||||||
\(77\) | −78.3264 | − | 22.5410i | −1.01723 | − | 0.292741i | ||||
\(78\) | 75.6840 | 0.970308 | ||||||||
\(79\) | 119.536 | + | 69.0141i | 1.51311 | + | 0.873596i | 0.999882 | + | 0.0153443i | \(0.00488443\pi\) |
0.513230 | + | 0.858251i | \(0.328449\pi\) | |||||||
\(80\) | −20.9841 | + | 12.1152i | −0.262301 | + | 0.151440i | ||||
\(81\) | −0.276882 | − | 0.479573i | −0.00341829 | − | 0.00592065i | ||||
\(82\) | 93.9230 | + | 40.4911i | 1.14540 | + | 0.493794i | ||||
\(83\) | − | 26.3633i | − | 0.317630i | −0.987308 | − | 0.158815i | \(-0.949233\pi\) | ||
0.987308 | − | 0.158815i | \(-0.0507674\pi\) | |||||||
\(84\) | −27.8907 | + | 6.92554i | −0.332032 | + | 0.0824469i | ||||
\(85\) | − | 16.8168i | − | 0.197845i | ||||||
\(86\) | −47.6671 | + | 82.5619i | −0.554269 | + | 0.960022i | ||||
\(87\) | 22.6410 | − | 13.0718i | 0.260242 | − | 0.150251i | ||||
\(88\) | 44.6973 | − | 25.8060i | 0.507923 | − | 0.293250i | ||||
\(89\) | −29.8477 | + | 51.6977i | −0.335367 | + | 0.580873i | −0.983555 | − | 0.180607i | \(-0.942194\pi\) |
0.648188 | + | 0.761480i | \(0.275527\pi\) | |||||||
\(90\) | − | 16.9360i | − | 0.188178i | ||||||
\(91\) | 79.8081 | + | 82.8024i | 0.877012 | + | 0.909916i | ||||
\(92\) | 83.9145 | 0.912114 | ||||||||
\(93\) | 73.4026 | + | 42.3790i | 0.789275 | + | 0.455688i | ||||
\(94\) | −6.23556 | − | 10.8003i | −0.0663358 | − | 0.114897i | ||||
\(95\) | 25.8890 | − | 14.9470i | 0.272516 | − | 0.157337i | ||||
\(96\) | 29.5816 | − | 51.2368i | 0.308141 | − | 0.533717i | ||||
\(97\) | 77.9725 | 0.803840 | 0.401920 | − | 0.915675i | \(-0.368343\pi\) | ||||
0.401920 | + | 0.915675i | \(0.368343\pi\) | |||||||
\(98\) | −103.538 | − | 64.9740i | −1.05651 | − | 0.663000i | ||||
\(99\) | 65.0854i | 0.657428i | ||||||||
\(100\) | −26.1493 | + | 45.2920i | −0.261493 | + | 0.452920i | ||||
\(101\) | 47.8026 | + | 82.7966i | 0.473293 | + | 0.819768i | 0.999533 | − | 0.0305684i | \(-0.00973174\pi\) |
−0.526239 | + | 0.850336i | \(0.676398\pi\) | |||||||
\(102\) | 31.8931 | + | 55.2404i | 0.312677 | + | 0.541573i | ||||
\(103\) | −166.013 | − | 95.8478i | −1.61178 | − | 0.930561i | −0.988958 | − | 0.148197i | \(-0.952653\pi\) |
−0.622822 | − | 0.782364i | \(-0.714014\pi\) | |||||||
\(104\) | −72.8234 | −0.700225 | ||||||||
\(105\) | −11.3041 | + | 10.8953i | −0.107658 | + | 0.103765i | ||||
\(106\) | − | 165.777i | − | 1.56393i | ||||||
\(107\) | 102.614 | − | 177.732i | 0.959005 | − | 1.66104i | 0.234079 | − | 0.972217i | \(-0.424792\pi\) |
0.724925 | − | 0.688827i | \(-0.241874\pi\) | |||||||
\(108\) | 29.9483 | + | 51.8721i | 0.277299 | + | 0.480297i | ||||
\(109\) | 88.7419 | − | 51.2351i | 0.814146 | − | 0.470047i | −0.0342478 | − | 0.999413i | \(-0.510904\pi\) |
0.848393 | + | 0.529366i | \(0.177570\pi\) | |||||||
\(110\) | −17.6390 | + | 30.5517i | −0.160355 | + | 0.277742i | ||||
\(111\) | 22.0727 | 0.198853 | ||||||||
\(112\) | 135.536 | − | 33.6548i | 1.21014 | − | 0.300490i | ||||
\(113\) | 150.194 | 1.32915 | 0.664575 | − | 0.747221i | \(-0.268613\pi\) | ||||
0.664575 | + | 0.747221i | \(0.268613\pi\) | |||||||
\(114\) | −56.6942 | + | 98.1972i | −0.497317 | + | 0.861379i | ||||
\(115\) | 39.7024 | − | 22.9222i | 0.345238 | − | 0.199323i | ||||
\(116\) | 27.2564 | − | 15.7365i | 0.234969 | − | 0.135659i | ||||
\(117\) | 45.9171 | − | 79.5307i | 0.392454 | − | 0.679750i | ||||
\(118\) | − | 70.8885i | − | 0.600750i | ||||||
\(119\) | −26.8051 | + | 93.1432i | −0.225253 | + | 0.782716i | ||||
\(120\) | − | 9.94179i | − | 0.0828483i | ||||||
\(121\) | 7.28703 | − | 12.6215i | 0.0602234 | − | 0.104310i | ||||
\(122\) | −91.5176 | + | 52.8377i | −0.750144 | + | 0.433096i | ||||
\(123\) | −60.7223 | + | 45.2258i | −0.493677 | + | 0.367690i | ||||
\(124\) | 88.3656 | + | 51.0179i | 0.712626 | + | 0.411435i | ||||
\(125\) | 58.9354i | 0.471483i | ||||||||
\(126\) | −26.9951 | + | 93.8036i | −0.214247 | + | 0.744473i | ||||
\(127\) | 97.3859 | 0.766818 | 0.383409 | − | 0.923579i | \(-0.374750\pi\) | ||||
0.383409 | + | 0.923579i | \(0.374750\pi\) | |||||||
\(128\) | −63.9246 | + | 110.721i | −0.499411 | + | 0.865005i | ||||
\(129\) | −35.2863 | − | 61.1176i | −0.273537 | − | 0.473780i | ||||
\(130\) | 43.1078 | − | 24.8883i | 0.331598 | − | 0.191448i | ||||
\(131\) | 130.480 | + | 75.3328i | 0.996033 | + | 0.575060i | 0.907072 | − | 0.420975i | \(-0.138312\pi\) |
0.0889607 | + | 0.996035i | \(0.471645\pi\) | |||||||
\(132\) | − | 47.8016i | − | 0.362133i | ||||||
\(133\) | −167.217 | + | 41.5215i | −1.25727 | + | 0.312192i | ||||
\(134\) | 126.041i | 0.940606i | ||||||||
\(135\) | 28.3388 | + | 16.3614i | 0.209917 | + | 0.121196i | ||||
\(136\) | −30.6876 | − | 53.1525i | −0.225644 | − | 0.390827i | ||||
\(137\) | 200.649 | − | 115.844i | 1.46459 | − | 0.845580i | 0.465370 | − | 0.885116i | \(-0.345921\pi\) |
0.999218 | + | 0.0395363i | \(0.0125881\pi\) | |||||||
\(138\) | −86.9439 | + | 150.591i | −0.630028 | + | 1.09124i | ||||
\(139\) | − | 11.3356i | − | 0.0815511i | −0.999168 | − | 0.0407755i | \(-0.987017\pi\) | ||
0.999168 | − | 0.0407755i | \(-0.0129829\pi\) | |||||||
\(140\) | −13.6084 | + | 13.1163i | −0.0972032 | + | 0.0936881i | ||||
\(141\) | 9.23193 | 0.0654747 | ||||||||
\(142\) | −150.011 | − | 86.6088i | −1.05641 | − | 0.609921i | ||||
\(143\) | −165.664 | + | 95.6461i | −1.15849 | + | 0.668854i | ||||
\(144\) | −55.7587 | − | 96.5769i | −0.387213 | − | 0.670673i | ||||
\(145\) | 8.59719 | − | 14.8908i | 0.0592909 | − | 0.102695i | ||||
\(146\) | − | 235.545i | − | 1.61332i | ||||||
\(147\) | 79.9767 | − | 42.3279i | 0.544059 | − | 0.287945i | ||||
\(148\) | 26.5722 | 0.179542 | ||||||||
\(149\) | −174.507 | − | 100.752i | −1.17119 | − | 0.676186i | −0.217229 | − | 0.976121i | \(-0.569702\pi\) |
−0.953960 | + | 0.299935i | \(0.903035\pi\) | |||||||
\(150\) | −54.1867 | − | 93.8541i | −0.361245 | − | 0.625694i | ||||
\(151\) | −158.890 | + | 91.7350i | −1.05225 | + | 0.607517i | −0.923278 | − | 0.384132i | \(-0.874501\pi\) |
−0.128972 | + | 0.991648i | \(0.541168\pi\) | |||||||
\(152\) | 54.5514 | − | 94.4857i | 0.358891 | − | 0.621617i | ||||
\(153\) | 77.3974 | 0.505865 | ||||||||
\(154\) | 146.395 | − | 141.101i | 0.950617 | − | 0.916240i | ||||
\(155\) | 55.7444 | 0.359641 | ||||||||
\(156\) | −33.7235 | + | 58.4109i | −0.216176 | + | 0.374429i | ||||
\(157\) | −60.9647 | − | 105.594i | −0.388310 | − | 0.672573i | 0.603912 | − | 0.797051i | \(-0.293608\pi\) |
−0.992222 | + | 0.124478i | \(0.960274\pi\) | |||||||
\(158\) | −298.196 | + | 172.164i | −1.88732 | + | 1.08964i | ||||
\(159\) | 106.277 | + | 61.3593i | 0.668411 | + | 0.385908i | ||||
\(160\) | − | 38.9110i | − | 0.243194i | ||||||
\(161\) | −256.436 | + | 63.6757i | −1.59277 | + | 0.395502i | ||||
\(162\) | 1.38143 | 0.00852733 | ||||||||
\(163\) | 68.6173 | − | 118.849i | 0.420965 | − | 0.729133i | −0.575069 | − | 0.818105i | \(-0.695025\pi\) |
0.996034 | + | 0.0889721i | \(0.0283582\pi\) | |||||||
\(164\) | −73.1005 | + | 54.4451i | −0.445735 | + | 0.331982i | ||||
\(165\) | −13.0575 | − | 22.6163i | −0.0791365 | − | 0.137068i | ||||
\(166\) | 56.9554 | + | 32.8832i | 0.343105 | + | 0.198092i | ||||
\(167\) | −272.488 | −1.63166 | −0.815832 | − | 0.578289i | \(-0.803721\pi\) | ||||
−0.815832 | + | 0.578289i | \(0.803721\pi\) | |||||||
\(168\) | −15.8467 | + | 55.0647i | −0.0943255 | + | 0.327766i | ||||
\(169\) | 100.909 | 0.597098 | ||||||||
\(170\) | 36.3310 | + | 20.9757i | 0.213712 | + | 0.123387i | ||||
\(171\) | 68.7921 | + | 119.151i | 0.402293 | + | 0.696792i | ||||
\(172\) | −42.4793 | − | 73.5764i | −0.246973 | − | 0.427770i | ||||
\(173\) | −197.118 | − | 113.806i | −1.13941 | − | 0.657838i | −0.193124 | − | 0.981174i | \(-0.561862\pi\) |
−0.946284 | + | 0.323336i | \(0.895195\pi\) | |||||||
\(174\) | 65.2183i | 0.374818i | ||||||||
\(175\) | 45.5421 | − | 158.251i | 0.260241 | − | 0.904294i | ||||
\(176\) | 232.293i | 1.31985i | ||||||||
\(177\) | 45.4457 | + | 26.2381i | 0.256756 | + | 0.148238i | ||||
\(178\) | −74.4586 | − | 128.966i | −0.418307 | − | 0.724528i | ||||
\(179\) | 181.423 | − | 104.744i | 1.01353 | − | 0.585164i | 0.101310 | − | 0.994855i | \(-0.467697\pi\) |
0.912224 | + | 0.409691i | \(0.134363\pi\) | |||||||
\(180\) | 13.0707 | + | 7.54640i | 0.0726153 | + | 0.0419244i | ||||
\(181\) | 57.2802 | 0.316465 | 0.158233 | − | 0.987402i | \(-0.449420\pi\) | ||||
0.158233 | + | 0.987402i | \(0.449420\pi\) | |||||||
\(182\) | −278.432 | + | 69.1374i | −1.52985 | + | 0.379876i | ||||
\(183\) | − | 78.2278i | − | 0.427474i | ||||||
\(184\) | 83.6577 | − | 144.899i | 0.454662 | − | 0.787497i | ||||
\(185\) | 12.5721 | − | 7.25850i | 0.0679573 | − | 0.0392351i | ||||
\(186\) | −183.111 | + | 105.719i | −0.984470 | + | 0.568384i | ||||
\(187\) | −139.621 | − | 80.6101i | −0.746635 | − | 0.431070i | ||||
\(188\) | 11.1138 | 0.0591162 | ||||||||
\(189\) | −130.881 | − | 135.792i | −0.692494 | − | 0.718475i | ||||
\(190\) | 74.5743i | 0.392496i | ||||||||
\(191\) | −253.847 | − | 146.559i | −1.32904 | − | 0.767324i | −0.343892 | − | 0.939009i | \(-0.611745\pi\) |
−0.985152 | + | 0.171685i | \(0.945079\pi\) | |||||||
\(192\) | 0.111542 | + | 0.193197i | 0.000580948 | + | 0.00100623i | ||||
\(193\) | −90.4174 | + | 52.2025i | −0.468484 | + | 0.270479i | −0.715605 | − | 0.698505i | \(-0.753849\pi\) |
0.247121 | + | 0.968985i | \(0.420516\pi\) | |||||||
\(194\) | −97.2558 | + | 168.452i | −0.501319 | + | 0.868309i | ||||
\(195\) | 36.8478i | 0.188963i | ||||||||
\(196\) | 96.2799 | − | 50.9564i | 0.491224 | − | 0.259982i | ||||
\(197\) | 175.787 | 0.892322 | 0.446161 | − | 0.894953i | \(-0.352791\pi\) | ||||
0.446161 | + | 0.894953i | \(0.352791\pi\) | |||||||
\(198\) | −140.611 | − | 81.1816i | −0.710155 | − | 0.410008i | ||||
\(199\) | 120.293 | + | 208.353i | 0.604485 | + | 1.04700i | 0.992133 | + | 0.125191i | \(0.0399544\pi\) |
−0.387648 | + | 0.921808i | \(0.626712\pi\) | |||||||
\(200\) | 52.1386 | + | 90.3068i | 0.260693 | + | 0.451534i | ||||
\(201\) | −80.8035 | − | 46.6519i | −0.402007 | − | 0.232099i | ||||
\(202\) | −238.499 | −1.18069 | ||||||||
\(203\) | −71.3524 | + | 68.7721i | −0.351490 | + | 0.338779i | ||||
\(204\) | −56.8441 | −0.278647 | ||||||||
\(205\) | −19.7137 | + | 45.7277i | −0.0961643 | + | 0.223062i | ||||
\(206\) | 414.140 | − | 239.104i | 2.01039 | − | 1.16070i | ||||
\(207\) | 105.497 | + | 182.726i | 0.509646 | + | 0.882733i | ||||
\(208\) | 163.880 | − | 283.849i | 0.787886 | − | 1.36466i | ||||
\(209\) | − | 286.591i | − | 1.37125i | ||||||
\(210\) | −9.43858 | − | 38.0113i | −0.0449456 | − | 0.181006i | ||||
\(211\) | − | 256.613i | − | 1.21618i | −0.793869 | − | 0.608088i | \(-0.791937\pi\) | ||
0.793869 | − | 0.608088i | \(-0.208063\pi\) | |||||||
\(212\) | 127.942 | + | 73.8674i | 0.603500 | + | 0.348431i | ||||
\(213\) | 111.048 | − | 64.1134i | 0.521351 | − | 0.301002i | ||||
\(214\) | 255.982 | + | 443.373i | 1.19618 | + | 2.07184i | ||||
\(215\) | −40.1964 | − | 23.2074i | −0.186960 | − | 0.107941i | ||||
\(216\) | 119.427 | 0.552902 | ||||||||
\(217\) | −308.752 | − | 88.8536i | −1.42282 | − | 0.409464i | ||||
\(218\) | 255.624i | 1.17259i | ||||||||
\(219\) | 151.005 | + | 87.1827i | 0.689520 | + | 0.398095i | ||||
\(220\) | −15.7193 | − | 27.2266i | −0.0714513 | − | 0.123757i | ||||
\(221\) | 113.739 | + | 197.002i | 0.514657 | + | 0.891412i | ||||
\(222\) | −27.5315 | + | 47.6860i | −0.124016 | + | 0.214802i | ||||
\(223\) | 37.4356i | 0.167873i | 0.996471 | + | 0.0839363i | \(0.0267492\pi\) | ||||
−0.996471 | + | 0.0839363i | \(0.973251\pi\) | |||||||
\(224\) | −62.0220 | + | 215.516i | −0.276884 | + | 0.962127i | ||||
\(225\) | −131.499 | −0.584440 | ||||||||
\(226\) | −187.338 | + | 324.479i | −0.828931 | + | 1.43575i | ||||
\(227\) | 133.238 | + | 230.775i | 0.586951 | + | 1.01663i | 0.994629 | + | 0.103504i | \(0.0330053\pi\) |
−0.407678 | + | 0.913126i | \(0.633661\pi\) | |||||||
\(228\) | −50.5240 | − | 87.5101i | −0.221596 | − | 0.383816i | ||||
\(229\) | 86.9174 | − | 150.545i | 0.379552 | − | 0.657403i | −0.611445 | − | 0.791287i | \(-0.709412\pi\) |
0.990997 | + | 0.133884i | \(0.0427448\pi\) | |||||||
\(230\) | 114.364i | 0.497235i | ||||||||
\(231\) | 36.2726 | + | 146.078i | 0.157024 | + | 0.632372i | ||||
\(232\) | − | 62.7533i | − | 0.270488i | ||||||
\(233\) | −94.9097 | − | 54.7961i | −0.407338 | − | 0.235177i | 0.282307 | − | 0.959324i | \(-0.408900\pi\) |
−0.689645 | + | 0.724147i | \(0.742234\pi\) | |||||||
\(234\) | 114.546 | + | 198.399i | 0.489511 | + | 0.847858i | ||||
\(235\) | 5.25828 | − | 3.03587i | 0.0223757 | − | 0.0129186i | ||||
\(236\) | 54.7098 | + | 31.5867i | 0.231821 | + | 0.133842i | ||||
\(237\) | − | 254.893i | − | 1.07550i | ||||||
\(238\) | −167.793 | − | 174.088i | −0.705011 | − | 0.731463i | ||||
\(239\) | 216.501i | 0.905862i | 0.891545 | + | 0.452931i | \(0.149622\pi\) | ||||
−0.891545 | + | 0.452931i | \(0.850378\pi\) | |||||||
\(240\) | 38.7508 | + | 22.3728i | 0.161462 | + | 0.0932200i | ||||
\(241\) | −237.387 | + | 137.055i | −0.985009 | + | 0.568695i | −0.903779 | − | 0.428000i | \(-0.859218\pi\) |
−0.0812300 | + | 0.996695i | \(0.525885\pi\) | |||||||
\(242\) | 18.1784 | + | 31.4858i | 0.0751172 | + | 0.130107i | ||||
\(243\) | −121.753 | + | 210.883i | −0.501042 | + | 0.867829i | ||||
\(244\) | − | 94.1744i | − | 0.385961i | ||||||
\(245\) | 31.6335 | − | 50.4089i | 0.129116 | − | 0.205750i | ||||
\(246\) | −21.9665 | − | 187.595i | −0.0892947 | − | 0.762582i | ||||
\(247\) | −202.187 | + | 350.198i | −0.818570 | + | 1.41780i | ||||
\(248\) | 176.190 | − | 101.724i | 0.710445 | − | 0.410176i | ||||
\(249\) | −42.1620 | + | 24.3423i | −0.169325 | + | 0.0977601i | ||||
\(250\) | −127.324 | − | 73.5107i | −0.509297 | − | 0.294043i | ||||
\(251\) | 148.367i | 0.591103i | 0.955327 | + | 0.295552i | \(0.0955034\pi\) | ||||
−0.955327 | + | 0.295552i | \(0.904497\pi\) | |||||||
\(252\) | −60.3665 | − | 62.6314i | −0.239550 | − | 0.248537i | ||||
\(253\) | − | 439.504i | − | 1.73717i | ||||||
\(254\) | −121.470 | + | 210.393i | −0.478229 | + | 0.828318i | ||||
\(255\) | −26.8946 | + | 15.5276i | −0.105469 | + | 0.0608925i | ||||
\(256\) | −159.709 | − | 276.624i | −0.623864 | − | 1.08056i | ||||
\(257\) | 111.388 | − | 192.929i | 0.433415 | − | 0.750696i | −0.563750 | − | 0.825945i | \(-0.690642\pi\) |
0.997165 | + | 0.0752492i | \(0.0239752\pi\) | |||||||
\(258\) | 176.052 | 0.682370 | ||||||||
\(259\) | −81.2028 | + | 20.1635i | −0.313524 | + | 0.0778512i | ||||
\(260\) | 44.3592i | 0.170612i | ||||||||
\(261\) | 68.5331 | + | 39.5676i | 0.262579 | + | 0.151600i | ||||
\(262\) | −325.499 | + | 187.927i | −1.24236 | + | 0.717277i | ||||
\(263\) | −71.3011 | + | 41.1657i | −0.271107 | + | 0.156524i | −0.629390 | − | 0.777089i | \(-0.716695\pi\) |
0.358284 | + | 0.933613i | \(0.383362\pi\) | |||||||
\(264\) | −82.5414 | − | 47.6553i | −0.312657 | − | 0.180513i | ||||
\(265\) | 80.7107 | 0.304569 | ||||||||
\(266\) | 118.867 | − | 413.045i | 0.446870 | − | 1.55280i | ||||
\(267\) | 110.238 | 0.412877 | ||||||||
\(268\) | −97.2752 | − | 56.1619i | −0.362967 | − | 0.209559i | ||||
\(269\) | −108.545 | + | 62.6684i | −0.403512 | + | 0.232968i | −0.687998 | − | 0.725712i | \(-0.741510\pi\) |
0.284486 | + | 0.958680i | \(0.408177\pi\) | |||||||
\(270\) | −70.6946 | + | 40.8155i | −0.261832 | + | 0.151169i | ||||
\(271\) | 438.186 | + | 252.987i | 1.61692 | + | 0.933531i | 0.987710 | + | 0.156298i | \(0.0499560\pi\) |
0.629213 | + | 0.777233i | \(0.283377\pi\) | |||||||
\(272\) | 276.235 | 1.01557 | ||||||||
\(273\) | 58.7334 | − | 204.089i | 0.215141 | − | 0.747579i | ||||
\(274\) | 577.976i | 2.10940i | ||||||||
\(275\) | 237.217 | + | 136.958i | 0.862609 | + | 0.498027i | ||||
\(276\) | −77.4815 | − | 134.202i | −0.280730 | − | 0.486239i | ||||
\(277\) | 130.051 | + | 225.255i | 0.469499 | + | 0.813197i | 0.999392 | − | 0.0348682i | \(-0.0111011\pi\) |
−0.529893 | + | 0.848065i | \(0.677768\pi\) | |||||||
\(278\) | 24.4895 | + | 14.1390i | 0.0880916 | + | 0.0508597i | ||||
\(279\) | 256.558i | 0.919561i | ||||||||
\(280\) | 9.08184 | + | 36.5746i | 0.0324351 | + | 0.130624i | ||||
\(281\) | − | 224.196i | − | 0.797852i | −0.916983 | − | 0.398926i | \(-0.869383\pi\) | ||
0.916983 | − | 0.398926i | \(-0.130617\pi\) | |||||||
\(282\) | −11.5151 | + | 19.9447i | −0.0408336 | + | 0.0707258i | ||||
\(283\) | 76.5410 | − | 44.1910i | 0.270463 | − | 0.156152i | −0.358635 | − | 0.933478i | \(-0.616758\pi\) |
0.629098 | + | 0.777326i | \(0.283424\pi\) | |||||||
\(284\) | 133.685 | − | 77.1829i | 0.470721 | − | 0.271771i | ||||
\(285\) | −47.8087 | − | 27.6024i | −0.167750 | − | 0.0968504i | ||||
\(286\) | − | 477.201i | − | 1.66854i | ||||||
\(287\) | 182.076 | − | 221.850i | 0.634411 | − | 0.772996i | ||||
\(288\) | 179.083 | 0.621818 | ||||||||
\(289\) | 48.6411 | − | 84.2488i | 0.168308 | − | 0.291518i | ||||
\(290\) | 21.4467 | + | 37.1468i | 0.0739541 | + | 0.128092i | ||||
\(291\) | −71.9950 | − | 124.699i | −0.247405 | − | 0.428519i | ||||
\(292\) | 181.787 | + | 104.955i | 0.622559 | + | 0.359434i | ||||
\(293\) | 432.377 | 1.47569 | 0.737845 | − | 0.674970i | \(-0.235844\pi\) | ||||
0.737845 | + | 0.674970i | \(0.235844\pi\) | |||||||
\(294\) | −8.31041 | + | 225.578i | −0.0282667 | + | 0.767272i | ||||
\(295\) | 34.5130 | 0.116993 | ||||||||
\(296\) | 26.4909 | − | 45.8836i | 0.0894964 | − | 0.155012i | ||||
\(297\) | 271.681 | − | 156.855i | 0.914750 | − | 0.528131i | ||||
\(298\) | 435.328 | − | 251.337i | 1.46083 | − | 0.843413i | ||||
\(299\) | −310.065 | + | 537.049i | −1.03701 | + | 1.79615i | ||||
\(300\) | 96.5788 | 0.321929 | ||||||||
\(301\) | 185.645 | + | 192.610i | 0.616760 | + | 0.639900i | ||||
\(302\) | − | 457.688i | − | 1.51552i | ||||||
\(303\) | 88.2760 | − | 152.899i | 0.291340 | − | 0.504616i | ||||
\(304\) | 245.522 | + | 425.257i | 0.807640 | + | 1.39887i | ||||
\(305\) | −25.7248 | − | 44.5566i | −0.0843435 | − | 0.146087i | ||||
\(306\) | −96.5385 | + | 167.210i | −0.315485 | + | 0.546436i | ||||
\(307\) | − | 380.543i | − | 1.23956i | −0.784778 | − | 0.619778i | \(-0.787223\pi\) | ||
0.784778 | − | 0.619778i | \(-0.212777\pi\) | |||||||
\(308\) | 43.6668 | + | 175.856i | 0.141775 | + | 0.570961i | ||||
\(309\) | 354.000i | 1.14563i | ||||||||
\(310\) | −69.5305 | + | 120.430i | −0.224292 | + | 0.388485i | ||||
\(311\) | −80.3007 | − | 139.085i | −0.258202 | − | 0.447219i | 0.707559 | − | 0.706655i | \(-0.249797\pi\) |
−0.965760 | + | 0.259436i | \(0.916463\pi\) | |||||||
\(312\) | 67.2407 | + | 116.464i | 0.215515 | + | 0.373283i | ||||
\(313\) | −118.047 | + | 204.463i | −0.377146 | + | 0.653236i | −0.990646 | − | 0.136459i | \(-0.956428\pi\) |
0.613500 | + | 0.789695i | \(0.289761\pi\) | |||||||
\(314\) | 304.167 | 0.968686 | ||||||||
\(315\) | −45.6696 | − | 13.1429i | −0.144983 | − | 0.0417236i | ||||
\(316\) | − | 306.853i | − | 0.971054i | ||||||
\(317\) | −51.8730 | − | 29.9489i | −0.163637 | − | 0.0944760i | 0.415945 | − | 0.909390i | \(-0.363451\pi\) |
−0.579582 | + | 0.814914i | \(0.696784\pi\) | |||||||
\(318\) | −265.122 | + | 153.068i | −0.833716 | + | 0.481346i | ||||
\(319\) | −82.4201 | − | 142.756i | −0.258370 | − | 0.447510i | ||||
\(320\) | 0.127063 | + | 0.0733600i | 0.000397073 | + | 0.000229250i | ||||
\(321\) | −378.988 | −1.18065 | ||||||||
\(322\) | 182.290 | − | 633.429i | 0.566119 | − | 1.96717i | ||||
\(323\) | −340.804 | −1.05512 | ||||||||
\(324\) | −0.615541 | + | 1.06615i | −0.00189982 | + | 0.00329058i | ||||
\(325\) | −193.244 | − | 334.709i | −0.594598 | − | 1.02987i | ||||
\(326\) | 171.174 | + | 296.482i | 0.525073 | + | 0.909454i | ||||
\(327\) | −163.878 | − | 94.6148i | −0.501155 | − | 0.289342i | ||||
\(328\) | 21.1362 | + | 180.505i | 0.0644398 | + | 0.550320i | ||||
\(329\) | −33.9631 | + | 8.43337i | −0.103231 | + | 0.0256334i | ||||
\(330\) | 65.1471 | 0.197415 | ||||||||
\(331\) | −126.636 | − | 73.1134i | −0.382587 | − | 0.220886i | 0.296356 | − | 0.955077i | \(-0.404228\pi\) |
−0.678943 | + | 0.734191i | \(0.737562\pi\) | |||||||
\(332\) | −50.7567 | + | 29.3044i | −0.152882 | + | 0.0882663i | ||||
\(333\) | 33.4065 | + | 57.8617i | 0.100320 | + | 0.173759i | ||||
\(334\) | 339.877 | − | 588.684i | 1.01759 | − | 1.76253i | ||||
\(335\) | −61.3649 | −0.183179 | ||||||||
\(336\) | −178.968 | − | 185.683i | −0.532644 | − | 0.552628i | ||||
\(337\) | 194.243 | 0.576388 | 0.288194 | − | 0.957572i | \(-0.406945\pi\) | ||||
0.288194 | + | 0.957572i | \(0.406945\pi\) | |||||||
\(338\) | −125.865 | + | 218.005i | −0.372383 | + | 0.644986i | ||||
\(339\) | −138.680 | − | 240.201i | −0.409085 | − | 0.708556i | ||||
\(340\) | −32.3770 | + | 18.6929i | −0.0952265 | + | 0.0549790i | ||||
\(341\) | 267.207 | − | 462.816i | 0.783599 | − | 1.35723i | ||||
\(342\) | −343.220 | −1.00357 | ||||||||
\(343\) | −255.558 | + | 228.778i | −0.745066 | + | 0.666991i | ||||
\(344\) | −169.397 | −0.492434 | ||||||||
\(345\) | −73.3174 | − | 42.3298i | −0.212514 | − | 0.122695i | ||||
\(346\) | 491.733 | − | 283.902i | 1.42119 | − | 0.820527i | ||||
\(347\) | −111.288 | + | 64.2520i | −0.320714 | + | 0.185164i | −0.651711 | − | 0.758468i | \(-0.725948\pi\) |
0.330997 | + | 0.943632i | \(0.392615\pi\) | |||||||
\(348\) | −50.3337 | − | 29.0602i | −0.144637 | − | 0.0835063i | ||||
\(349\) | 101.567i | 0.291024i | 0.989357 | + | 0.145512i | \(0.0464829\pi\) | ||||
−0.989357 | + | 0.145512i | \(0.953517\pi\) | |||||||
\(350\) | 285.082 | + | 295.778i | 0.814520 | + | 0.845079i | ||||
\(351\) | −442.638 | −1.26108 | ||||||||
\(352\) | −323.057 | − | 186.517i | −0.917776 | − | 0.529878i | ||||
\(353\) | 106.967 | − | 61.7573i | 0.303022 | − | 0.174950i | −0.340778 | − | 0.940144i | \(-0.610690\pi\) |
0.643800 | + | 0.765194i | \(0.277357\pi\) | |||||||
\(354\) | −113.370 | + | 65.4541i | −0.320254 | + | 0.184898i | ||||
\(355\) | 42.1667 | − | 73.0349i | 0.118779 | − | 0.205732i | ||||
\(356\) | 132.710 | 0.372781 | ||||||||
\(357\) | 173.711 | − | 43.1342i | 0.486586 | − | 0.120824i | ||||
\(358\) | 522.595i | 1.45976i | ||||||||
\(359\) | −97.5820 | + | 169.017i | −0.271816 | + | 0.470799i | −0.969327 | − | 0.245775i | \(-0.920958\pi\) |
0.697511 | + | 0.716574i | \(0.254291\pi\) | |||||||
\(360\) | 26.0615 | − | 15.0466i | 0.0723931 | − | 0.0417962i | ||||
\(361\) | −122.412 | − | 212.024i | −0.339092 | − | 0.587325i | ||||
\(362\) | −71.4461 | + | 123.748i | −0.197365 | + | 0.341846i | ||||
\(363\) | −26.9136 | −0.0741421 | ||||||||
\(364\) | 70.7062 | − | 245.693i | 0.194248 | − | 0.674980i | ||||
\(365\) | 114.678 | 0.314187 | ||||||||
\(366\) | 169.003 | + | 97.5742i | 0.461758 | + | 0.266596i | ||||
\(367\) | 312.890 | − | 180.647i | 0.852560 | − | 0.492226i | −0.00895359 | − | 0.999960i | \(-0.502850\pi\) |
0.861514 | + | 0.507734i | \(0.169517\pi\) | |||||||
\(368\) | 376.523 | + | 652.157i | 1.02316 | + | 1.77217i | ||||
\(369\) | −210.457 | − | 90.7300i | −0.570344 | − | 0.245881i | ||||
\(370\) | 36.2144i | 0.0978767i | ||||||||
\(371\) | −447.033 | − | 128.649i | −1.20494 | − | 0.346762i | ||||
\(372\) | − | 188.427i | − | 0.506525i | ||||||
\(373\) | 140.501 | − | 243.355i | 0.376679 | − | 0.652427i | −0.613898 | − | 0.789385i | \(-0.710399\pi\) |
0.990577 | + | 0.136959i | \(0.0437327\pi\) | |||||||
\(374\) | 348.301 | − | 201.091i | 0.931285 | − | 0.537678i | ||||
\(375\) | 94.2536 | − | 54.4173i | 0.251343 | − | 0.145113i | ||||
\(376\) | 11.0798 | − | 19.1908i | 0.0294677 | − | 0.0510395i | ||||
\(377\) | 232.586i | 0.616939i | ||||||||
\(378\) | 456.614 | − | 113.382i | 1.20797 | − | 0.299952i | ||||
\(379\) | 90.4472 | 0.238647 | 0.119324 | − | 0.992855i | \(-0.461927\pi\) | ||||
0.119324 | + | 0.992855i | \(0.461927\pi\) | |||||||
\(380\) | −57.5544 | − | 33.2291i | −0.151459 | − | 0.0874449i | ||||
\(381\) | −89.9201 | − | 155.746i | −0.236011 | − | 0.408783i | ||||
\(382\) | 633.252 | − | 365.608i | 1.65773 | − | 0.957090i | ||||
\(383\) | 128.312 | − | 222.243i | 0.335019 | − | 0.580270i | −0.648470 | − | 0.761241i | \(-0.724591\pi\) |
0.983488 | + | 0.180971i | \(0.0579240\pi\) | |||||||
\(384\) | 236.096 | 0.614834 | ||||||||
\(385\) | 68.6970 | + | 71.2744i | 0.178434 | + | 0.185128i | ||||
\(386\) | − | 260.451i | − | 0.674743i | ||||||
\(387\) | 106.810 | − | 184.999i | 0.275994 | − | 0.478035i | ||||
\(388\) | −86.6711 | − | 150.119i | −0.223379 | − | 0.386904i | ||||
\(389\) | 214.588 | + | 371.677i | 0.551640 | + | 0.955469i | 0.998156 | + | 0.0606933i | \(0.0193311\pi\) |
−0.446516 | + | 0.894775i | \(0.647336\pi\) | |||||||
\(390\) | −79.6061 | − | 45.9606i | −0.204118 | − | 0.117848i | ||||
\(391\) | −522.643 | −1.33668 | ||||||||
\(392\) | 7.99631 | − | 217.052i | 0.0203988 | − | 0.553704i | ||||
\(393\) | − | 278.231i | − | 0.707966i | ||||||
\(394\) | −219.261 | + | 379.772i | −0.556501 | + | 0.963887i | ||||
\(395\) | −83.8203 | − | 145.181i | −0.212203 | − | 0.367547i | ||||
\(396\) | 125.308 | − | 72.3463i | 0.316433 | − | 0.182693i | ||||
\(397\) | 55.4613 | − | 96.0619i | 0.139701 | − | 0.241969i | −0.787682 | − | 0.616082i | \(-0.788719\pi\) |
0.927383 | + | 0.374112i | \(0.122052\pi\) | |||||||
\(398\) | −600.168 | −1.50796 | ||||||||
\(399\) | 220.802 | + | 229.086i | 0.553387 | + | 0.574150i | ||||
\(400\) | −469.327 | −1.17332 | ||||||||
\(401\) | −138.997 | + | 240.750i | −0.346626 | + | 0.600374i | −0.985648 | − | 0.168815i | \(-0.946006\pi\) |
0.639022 | + | 0.769189i | \(0.279339\pi\) | |||||||
\(402\) | 201.574 | − | 116.379i | 0.501428 | − | 0.289499i | ||||
\(403\) | −653.024 | + | 377.024i | −1.62041 | + | 0.935543i | ||||
\(404\) | 106.271 | − | 184.067i | 0.263047 | − | 0.455611i | ||||
\(405\) | 0.672567i | 0.00166066i | ||||||||
\(406\) | −59.5770 | − | 239.930i | −0.146741 | − | 0.590961i | ||||
\(407\) | − | 139.173i | − | 0.341947i | ||||||
\(408\) | −56.6701 | + | 98.1555i | −0.138897 | + | 0.240577i | ||||
\(409\) | −198.049 | + | 114.344i | −0.484228 | + | 0.279569i | −0.722177 | − | 0.691709i | \(-0.756858\pi\) |
0.237949 | + | 0.971278i | \(0.423525\pi\) | |||||||
\(410\) | −74.2013 | − | 99.6261i | −0.180979 | − | 0.242990i | ||||
\(411\) | −370.533 | − | 213.927i | −0.901540 | − | 0.520504i | ||||
\(412\) | 426.163i | 1.03438i | ||||||||
\(413\) | −191.158 | − | 55.0119i | −0.462851 | − | 0.133201i | ||||
\(414\) | −526.348 | −1.27137 | ||||||||
\(415\) | −16.0096 | + | 27.7295i | −0.0385775 | + | 0.0668181i | ||||
\(416\) | 263.172 | + | 455.827i | 0.632625 | + | 1.09574i | ||||
\(417\) | −18.1287 | + | 10.4666i | −0.0434740 | + | 0.0250997i | ||||
\(418\) | 619.151 | + | 357.467i | 1.48122 | + | 0.855184i | ||||
\(419\) | − | 768.093i | − | 1.83316i | −0.399855 | − | 0.916578i | \(-0.630940\pi\) | ||
0.399855 | − | 0.916578i | \(-0.369060\pi\) | |||||||
\(420\) | 33.5417 | + | 9.65275i | 0.0798613 | + | 0.0229827i | ||||
\(421\) | 313.133i | 0.743783i | 0.928276 | + | 0.371891i | \(0.121291\pi\) | ||||
−0.928276 | + | 0.371891i | \(0.878709\pi\) | |||||||
\(422\) | 554.388 | + | 320.076i | 1.31372 | + | 0.758474i | ||||
\(423\) | 13.9723 | + | 24.2007i | 0.0330313 | + | 0.0572120i | ||||
\(424\) | 255.101 | − | 147.283i | 0.601653 | − | 0.347365i | ||||
\(425\) | 162.865 | − | 282.091i | 0.383213 | − | 0.663744i | ||||
\(426\) | 319.877i | 0.750885i | ||||||||
\(427\) | 71.4611 | + | 287.790i | 0.167356 | + | 0.673981i | ||||
\(428\) | −456.244 | −1.06599 | ||||||||
\(429\) | 305.928 | + | 176.627i | 0.713118 | + | 0.411719i | ||||
\(430\) | 100.275 | − | 57.8936i | 0.233197 | − | 0.134636i | ||||
\(431\) | 195.831 | + | 339.190i | 0.454365 | + | 0.786984i | 0.998651 | − | 0.0519159i | \(-0.0165328\pi\) |
−0.544286 | + | 0.838900i | \(0.683199\pi\) | |||||||
\(432\) | −268.756 | + | 465.498i | −0.622119 | + | 1.07754i | ||||
\(433\) | 516.962i | 1.19391i | 0.802275 | + | 0.596954i | \(0.203623\pi\) | ||||
−0.802275 | + | 0.596954i | \(0.796377\pi\) | |||||||
\(434\) | 577.069 | − | 556.201i | 1.32965 | − | 1.28157i | ||||
\(435\) | −31.7525 | −0.0729941 | ||||||||
\(436\) | −197.284 | − | 113.902i | −0.452486 | − | 0.261243i | ||||
\(437\) | −464.534 | − | 804.597i | −1.06301 | − | 1.84118i | ||||
\(438\) | −376.700 | + | 217.488i | −0.860045 | + | 0.496547i | ||||
\(439\) | −181.506 | + | 314.377i | −0.413452 | + | 0.716120i | −0.995265 | − | 0.0972027i | \(-0.969010\pi\) |
0.581812 | + | 0.813323i | \(0.302344\pi\) | |||||||
\(440\) | −62.6848 | −0.142465 | ||||||||
\(441\) | 232.001 | + | 145.590i | 0.526080 | + | 0.330135i | ||||
\(442\) | −567.472 | −1.28387 | ||||||||
\(443\) | 211.350 | − | 366.069i | 0.477089 | − | 0.826342i | −0.522567 | − | 0.852598i | \(-0.675025\pi\) |
0.999655 | + | 0.0262568i | \(0.00835878\pi\) | |||||||
\(444\) | −24.5352 | − | 42.4962i | −0.0552594 | − | 0.0957121i | ||||
\(445\) | 62.7889 | − | 36.2512i | 0.141099 | − | 0.0814634i | ||||
\(446\) | −80.8760 | − | 46.6938i | −0.181336 | − | 0.104695i | ||||
\(447\) | 372.112i | 0.832464i | ||||||||
\(448\) | −0.586834 | − | 0.608852i | −0.00130990 | − | 0.00135904i | ||||
\(449\) | 427.044 | 0.951100 | 0.475550 | − | 0.879689i | \(-0.342249\pi\) | ||||
0.475550 | + | 0.879689i | \(0.342249\pi\) | |||||||
\(450\) | 164.020 | − | 284.091i | 0.364489 | − | 0.631313i | ||||
\(451\) | 285.157 | + | 382.865i | 0.632277 | + | 0.848925i | ||||
\(452\) | −166.950 | − | 289.165i | −0.369358 | − | 0.639746i | ||||
\(453\) | 293.418 | + | 169.405i | 0.647722 | + | 0.373962i | ||||
\(454\) | −664.756 | −1.46422 | ||||||||
\(455\) | −33.6605 | − | 135.558i | −0.0739791 | − | 0.297931i | ||||
\(456\) | −201.477 | −0.441836 | ||||||||
\(457\) | −25.5626 | − | 14.7585i | −0.0559356 | − | 0.0322944i | 0.471771 | − | 0.881721i | \(-0.343615\pi\) |
−0.527707 | + | 0.849426i | \(0.676948\pi\) | |||||||
\(458\) | 216.826 | + | 375.553i | 0.473419 | + | 0.819985i | ||||
\(459\) | −186.527 | − | 323.074i | −0.406376 | − | 0.703864i | ||||
\(460\) | −88.2632 | − | 50.9588i | −0.191876 | − | 0.110780i | ||||
\(461\) | 349.742i | 0.758659i | 0.925262 | + | 0.379329i | \(0.123845\pi\) | ||||
−0.925262 | + | 0.379329i | \(0.876155\pi\) | |||||||
\(462\) | −360.831 | − | 103.841i | −0.781019 | − | 0.224764i | ||||
\(463\) | 859.037i | 1.85537i | 0.373361 | + | 0.927686i | \(0.378205\pi\) | ||||
−0.373361 | + | 0.927686i | \(0.621795\pi\) | |||||||
\(464\) | 244.598 | + | 141.219i | 0.527151 | + | 0.304351i | ||||
\(465\) | −51.4710 | − | 89.1503i | −0.110690 | − | 0.191721i | ||||
\(466\) | 236.763 | − | 136.695i | 0.508076 | − | 0.293338i | ||||
\(467\) | −243.598 | − | 140.641i | −0.521622 | − | 0.301159i | 0.215976 | − | 0.976399i | \(-0.430707\pi\) |
−0.737598 | + | 0.675240i | \(0.764040\pi\) | |||||||
\(468\) | −204.158 | −0.436236 | ||||||||
\(469\) | 339.882 | + | 97.8124i | 0.724696 | + | 0.208555i | ||||
\(470\) | 15.1467i | 0.0322270i | ||||||||
\(471\) | −112.582 | + | 194.998i | −0.239028 | + | 0.414008i | ||||
\(472\) | 109.085 | − | 62.9801i | 0.231112 | − | 0.133432i | ||||
\(473\) | −385.357 | + | 222.486i | −0.814709 | + | 0.470373i | ||||
\(474\) | 550.672 | + | 317.931i | 1.16176 | + | 0.670740i | ||||
\(475\) | 579.030 | 1.21901 | ||||||||
\(476\) | 209.122 | − | 51.9271i | 0.439332 | − | 0.109091i | ||||
\(477\) | 371.462i | 0.778747i | ||||||||
\(478\) | −467.730 | − | 270.044i | −0.978514 | − | 0.564945i | ||||
\(479\) | 463.281 | + | 802.426i | 0.967183 | + | 1.67521i | 0.703631 | + | 0.710566i | \(0.251561\pi\) |
0.263553 | + | 0.964645i | \(0.415106\pi\) | |||||||
\(480\) | −62.2291 | + | 35.9280i | −0.129644 | + | 0.0748500i | ||||
\(481\) | −98.1848 | + | 170.061i | −0.204126 | + | 0.353557i | ||||
\(482\) | − | 683.802i | − | 1.41868i | ||||||
\(483\) | 338.612 | + | 351.317i | 0.701061 | + | 0.727364i | ||||
\(484\) | −32.3999 | −0.0669419 | ||||||||
\(485\) | −82.0132 | − | 47.3503i | −0.169099 | − | 0.0976296i | ||||
\(486\) | −303.727 | − | 526.071i | −0.624954 | − | 1.08245i | ||||
\(487\) | −196.400 | − | 340.175i | −0.403286 | − | 0.698512i | 0.590834 | − | 0.806793i | \(-0.298799\pi\) |
−0.994120 | + | 0.108281i | \(0.965465\pi\) | |||||||
\(488\) | −162.616 | − | 93.8863i | −0.333229 | − | 0.192390i | ||||
\(489\) | −253.428 | −0.518257 | ||||||||
\(490\) | 69.4467 | + | 131.217i | 0.141728 | + | 0.267789i | ||||
\(491\) | 519.446 | 1.05793 | 0.528967 | − | 0.848642i | \(-0.322579\pi\) | ||||
0.528967 | + | 0.848642i | \(0.322579\pi\) | |||||||
\(492\) | 154.569 | + | 66.6361i | 0.314164 | + | 0.135439i | ||||
\(493\) | −169.760 | + | 98.0113i | −0.344342 | + | 0.198806i | ||||
\(494\) | −504.379 | − | 873.609i | −1.02101 | − | 1.76844i | ||||
\(495\) | 39.5244 | − | 68.4582i | 0.0798472 | − | 0.138299i | ||||
\(496\) | 915.667i | 1.84610i | ||||||||
\(497\) | −349.963 | + | 337.307i | −0.704150 | + | 0.678687i | ||||
\(498\) | − | 121.449i | − | 0.243874i | ||||||
\(499\) | 191.043 | + | 110.299i | 0.382851 | + | 0.221039i | 0.679058 | − | 0.734085i | \(-0.262388\pi\) |
−0.296207 | + | 0.955124i | \(0.595722\pi\) | |||||||
\(500\) | 113.467 | − | 65.5103i | 0.226934 | − | 0.131021i | ||||
\(501\) | 251.598 | + | 435.781i | 0.502193 | + | 0.869823i | ||||
\(502\) | −320.532 | − | 185.059i | −0.638511 | − | 0.368644i | ||||
\(503\) | 785.238 | 1.56111 | 0.780554 | − | 0.625088i | \(-0.214937\pi\) | ||||
0.780554 | + | 0.625088i | \(0.214937\pi\) | |||||||
\(504\) | −168.331 | + | 41.7982i | −0.333989 | + | 0.0829328i | ||||
\(505\) | − | 116.116i | − | 0.229933i | ||||||
\(506\) | 949.505 | + | 548.197i | 1.87649 | + | 1.08339i | ||||
\(507\) | −93.1736 | − | 161.381i | −0.183774 | − | 0.318307i | ||||
\(508\) | −108.250 | − | 187.495i | −0.213091 | − | 0.369085i | ||||
\(509\) | −451.542 | + | 782.094i | −0.887117 | + | 1.53653i | −0.0438483 | + | 0.999038i | \(0.513962\pi\) |
−0.843268 | + | 0.537493i | \(0.819372\pi\) | |||||||
\(510\) | − | 77.4708i | − | 0.151903i | ||||||
\(511\) | −635.169 | − | 182.791i | −1.24299 | − | 0.357712i | ||||
\(512\) | 285.430 | 0.557480 | ||||||||
\(513\) | 331.576 | − | 574.307i | 0.646347 | − | 1.11951i | ||||
\(514\) | 277.869 | + | 481.284i | 0.540602 | + | 0.936350i | ||||
\(515\) | 116.411 | + | 201.630i | 0.226041 | + | 0.391514i | ||||
\(516\) | −78.4456 | + | 135.872i | −0.152026 | + | 0.263317i | ||||
\(517\) | − | 58.2089i | − | 0.112590i | ||||||
\(518\) | 57.7238 | − | 200.581i | 0.111436 | − | 0.387222i | ||||
\(519\) | 420.326i | 0.809876i | ||||||||
\(520\) | 76.5973 | + | 44.2235i | 0.147302 | + | 0.0850451i | ||||
\(521\) | 30.7780 | + | 53.3091i | 0.0590749 | + | 0.102321i | 0.894050 | − | 0.447966i | \(-0.147852\pi\) |
−0.834976 | + | 0.550287i | \(0.814518\pi\) | |||||||
\(522\) | −170.964 | + | 98.7061i | −0.327517 | + | 0.189092i | ||||
\(523\) | −317.287 | − | 183.186i | −0.606668 | − | 0.350260i | 0.164992 | − | 0.986295i | \(-0.447240\pi\) |
−0.771660 | + | 0.636035i | \(0.780573\pi\) | |||||||
\(524\) | − | 334.948i | − | 0.639214i | ||||||
\(525\) | −295.137 | + | 73.2856i | −0.562167 | + | 0.139592i | ||||
\(526\) | − | 205.385i | − | 0.390466i | ||||||
\(527\) | −550.366 | − | 317.754i | −1.04434 | − | 0.602949i | ||||
\(528\) | 371.499 | − | 214.485i | 0.703596 | − | 0.406221i | ||||
\(529\) | −447.891 | − | 775.769i | −0.846674 | − | 1.46648i | ||||
\(530\) | −100.671 | + | 174.368i | −0.189946 | + | 0.328996i | ||||
\(531\) | 158.842i | 0.299138i | ||||||||
\(532\) | 265.812 | + | 275.785i | 0.499646 | + | 0.518393i | ||||
\(533\) | −78.3384 | − | 669.015i | −0.146976 | − | 1.25519i | ||||
\(534\) | −137.501 | + | 238.159i | −0.257492 | + | 0.445990i | ||||
\(535\) | −215.862 | + | 124.628i | −0.403481 | + | 0.232950i | ||||
\(536\) | −193.955 | + | 111.980i | −0.361857 | + | 0.208918i | ||||
\(537\) | −335.029 | − | 193.429i | −0.623890 | − | 0.360203i | ||||
\(538\) | − | 312.667i | − | 0.581166i | ||||||
\(539\) | −266.885 | − | 504.268i | −0.495148 | − | 0.935561i | ||||
\(540\) | − | 72.7469i | − | 0.134716i | ||||||
\(541\) | 507.780 | − | 879.501i | 0.938595 | − | 1.62569i | 0.170501 | − | 0.985358i | \(-0.445462\pi\) |
0.768094 | − | 0.640337i | \(-0.221205\pi\) | |||||||
\(542\) | −1093.11 | + | 631.106i | −2.01680 | + | 1.16440i | ||||
\(543\) | −52.8890 | − | 91.6064i | −0.0974015 | − | 0.168704i | ||||
\(544\) | −221.800 | + | 384.169i | −0.407721 | + | 0.706193i | ||||
\(545\) | −124.454 | −0.228356 | ||||||||
\(546\) | 367.656 | + | 381.450i | 0.673363 | + | 0.698627i | ||||
\(547\) | − | 507.752i | − | 0.928249i | −0.885770 | − | 0.464125i | \(-0.846369\pi\) | ||
0.885770 | − | 0.464125i | \(-0.153631\pi\) | |||||||
\(548\) | −446.066 | − | 257.536i | −0.813989 | − | 0.469957i | ||||
\(549\) | 205.067 | − | 118.395i | 0.373528 | − | 0.215657i | ||||
\(550\) | −591.767 | + | 341.657i | −1.07594 | + | 0.621194i | ||||
\(551\) | −301.772 | − | 174.228i | −0.547680 | − | 0.316203i | ||||
\(552\) | −308.978 | −0.559742 | ||||||||
\(553\) | 232.845 | + | 937.720i | 0.421058 | + | 1.69570i | ||||
\(554\) | −648.857 | −1.17122 | ||||||||
\(555\) | −23.2166 | − | 13.4041i | −0.0418317 | − | 0.0241515i | ||||
\(556\) | −21.8242 | + | 12.6002i | −0.0392521 | + | 0.0226622i | ||||
\(557\) | 412.561 | − | 238.192i | 0.740685 | − | 0.427634i | −0.0816336 | − | 0.996662i | \(-0.526014\pi\) |
0.822318 | + | 0.569028i | \(0.192680\pi\) | |||||||
\(558\) | −554.268 | − | 320.007i | −0.993311 | − | 0.573489i | ||||
\(559\) | 627.847 | 1.12316 | ||||||||
\(560\) | −162.997 | − | 46.9078i | −0.291066 | − | 0.0837639i | ||||
\(561\) | 297.722i | 0.530698i | ||||||||
\(562\) | 484.355 | + | 279.642i | 0.861841 | + | 0.497584i | ||||
\(563\) | −61.7490 | − | 106.952i | −0.109679 | − | 0.189969i | 0.805961 | − | 0.591968i | \(-0.201649\pi\) |
−0.915640 | + | 0.401999i | \(0.868315\pi\) | |||||||
\(564\) | −10.2618 | − | 17.7740i | −0.0181948 | − | 0.0315142i | ||||
\(565\) | −157.977 | − | 91.2083i | −0.279606 | − | 0.161431i | ||||
\(566\) | 220.479i | 0.389539i | ||||||||
\(567\) | 1.07204 | − | 3.72515i | 0.00189072 | − | 0.00656994i | ||||
\(568\) | − | 307.787i | − | 0.541878i | ||||||
\(569\) | 187.379 | − | 324.551i | 0.329314 | − | 0.570388i | −0.653062 | − | 0.757304i | \(-0.726516\pi\) |
0.982376 | + | 0.186916i | \(0.0598493\pi\) | |||||||
\(570\) | 119.264 | − | 68.8573i | 0.209236 | − | 0.120802i | ||||
\(571\) | −15.9626 | + | 9.21601i | −0.0279555 | + | 0.0161401i | −0.513913 | − | 0.857843i | \(-0.671804\pi\) |
0.485957 | + | 0.873983i | \(0.338471\pi\) | |||||||
\(572\) | 368.291 | + | 212.633i | 0.643865 | + | 0.371736i | ||||
\(573\) | 541.294i | 0.944666i | ||||||||
\(574\) | 252.180 | + | 670.073i | 0.439339 | + | 1.16737i | ||||
\(575\) | 887.977 | 1.54431 | ||||||||
\(576\) | −0.337631 | + | 0.584795i | −0.000586166 | + | 0.00101527i | ||||
\(577\) | 32.8205 | + | 56.8467i | 0.0568812 | + | 0.0985212i | 0.893064 | − | 0.449930i | \(-0.148551\pi\) |
−0.836183 | + | 0.548451i | \(0.815218\pi\) | |||||||
\(578\) | 121.341 | + | 210.169i | 0.209932 | + | 0.363614i | ||||
\(579\) | 166.972 | + | 96.4012i | 0.288380 | + | 0.166496i | ||||
\(580\) | −38.2252 | −0.0659055 | ||||||||
\(581\) | 132.872 | − | 128.067i | 0.228696 | − | 0.220425i | ||||
\(582\) | 359.200 | 0.617182 | ||||||||
\(583\) | 386.881 | − | 670.098i | 0.663604 | − | 1.14940i | ||||
\(584\) | 362.462 | − | 209.267i | 0.620654 | − | 0.358335i | ||||
\(585\) | −96.5932 | + | 55.7681i | −0.165117 | + | 0.0953301i | ||||
\(586\) | −539.308 | + | 934.109i | −0.920321 | + | 1.59404i | ||||
\(587\) | −354.585 | −0.604063 | −0.302032 | − | 0.953298i | \(-0.597665\pi\) | ||||
−0.302032 | + | 0.953298i | \(0.597665\pi\) | |||||||
\(588\) | −170.392 | − | 106.928i | −0.289782 | − | 0.181849i | ||||
\(589\) | − | 1129.70i | − | 1.91800i | ||||||
\(590\) | −43.0484 | + | 74.5621i | −0.0729634 | + | 0.126376i | ||||
\(591\) | −162.311 | − | 281.131i | −0.274638 | − | 0.475687i | ||||
\(592\) | 119.229 | + | 206.511i | 0.201401 | + | 0.348836i | ||||
\(593\) | 147.527 | − | 255.524i | 0.248781 | − | 0.430901i | −0.714407 | − | 0.699730i | \(-0.753303\pi\) |
0.963188 | + | 0.268829i | \(0.0866368\pi\) | |||||||
\(594\) | 782.586i | 1.31749i | ||||||||
\(595\) | 84.7572 | − | 81.6922i | 0.142449 | − | 0.137298i | ||||
\(596\) | 447.966i | 0.751621i | ||||||||
\(597\) | 222.141 | − | 384.760i | 0.372096 | − | 0.644489i | ||||
\(598\) | −773.495 | − | 1339.73i | −1.29347 | − | 2.24035i | ||||
\(599\) | −131.394 | − | 227.581i | −0.219355 | − | 0.379934i | 0.735256 | − | 0.677790i | \(-0.237062\pi\) |
−0.954611 | + | 0.297855i | \(0.903729\pi\) | |||||||
\(600\) | 96.2832 | − | 166.767i | 0.160472 | − | 0.277946i | ||||
\(601\) | 29.6730 | 0.0493727 | 0.0246864 | − | 0.999695i | \(-0.492141\pi\) | ||||
0.0246864 | + | 0.999695i | \(0.492141\pi\) | |||||||
\(602\) | −647.671 | + | 160.823i | −1.07587 | + | 0.267148i | ||||
\(603\) | − | 282.425i | − | 0.468367i | ||||||
\(604\) | 353.231 | + | 203.938i | 0.584820 | + | 0.337646i | ||||
\(605\) | −15.3293 | + | 8.85038i | −0.0253377 | + | 0.0146287i | ||||
\(606\) | 220.215 | + | 381.423i | 0.363391 | + | 0.629412i | ||||
\(607\) | 423.689 | + | 244.617i | 0.698006 | + | 0.402994i | 0.806604 | − | 0.591092i | \(-0.201303\pi\) |
−0.108598 | + | 0.994086i | \(0.534636\pi\) | |||||||
\(608\) | −788.559 | −1.29697 | ||||||||
\(609\) | 175.868 | + | 50.6117i | 0.288781 | + | 0.0831063i | ||||
\(610\) | 128.347 | 0.210405 | ||||||||
\(611\) | −41.0658 | + | 71.1281i | −0.0672108 | + | 0.116413i | ||||
\(612\) | −86.0319 | − | 149.012i | −0.140575 | − | 0.243483i | ||||
\(613\) | −485.523 | − | 840.951i | −0.792045 | − | 1.37186i | −0.924699 | − | 0.380699i | \(-0.875683\pi\) |
0.132654 | − | 0.991162i | \(-0.457650\pi\) | |||||||
\(614\) | 822.127 | + | 474.655i | 1.33897 | + | 0.773054i | ||||
\(615\) | 91.3333 | − | 10.6947i | 0.148509 | − | 0.0173897i | ||||
\(616\) | 347.193 | + | 99.9162i | 0.563624 | + | 0.162202i | ||||
\(617\) | 61.7278 | 0.100045 | 0.0500226 | − | 0.998748i | \(-0.484071\pi\) | ||||
0.0500226 | + | 0.998748i | \(0.484071\pi\) | |||||||
\(618\) | −764.782 | − | 441.547i | −1.23751 | − | 0.714478i | ||||
\(619\) | −944.563 | + | 545.343i | −1.52595 | + | 0.881007i | −0.526423 | + | 0.850223i | \(0.676467\pi\) |
−0.999526 | + | 0.0307845i | \(0.990199\pi\) | |||||||
\(620\) | −61.9633 | − | 107.324i | −0.0999408 | − | 0.173103i | ||||
\(621\) | 508.492 | − | 880.733i | 0.818827 | − | 1.41825i | ||||
\(622\) | 400.639 | 0.644115 | ||||||||
\(623\) | −405.552 | + | 100.703i | −0.650966 | + | 0.161641i | ||||
\(624\) | −605.268 | −0.969980 | ||||||||
\(625\) | −258.271 | + | 447.339i | −0.413234 | + | 0.715743i | ||||
\(626\) | −294.481 | − | 510.057i | −0.470418 | − | 0.814787i | ||||
\(627\) | −458.335 | + | 264.620i | −0.730997 | + | 0.422041i | ||||
\(628\) | −135.532 | + | 234.748i | −0.215815 | + | 0.373803i | ||||
\(629\) | −165.499 | −0.263115 | ||||||||
\(630\) | 85.3581 | − | 82.2714i | 0.135489 | − | 0.130589i | ||||
\(631\) | −623.459 | −0.988049 | −0.494024 | − | 0.869448i | \(-0.664475\pi\) | ||||
−0.494024 | + | 0.869448i | \(0.664475\pi\) | |||||||
\(632\) | −529.859 | − | 305.914i | −0.838384 | − | 0.484041i | ||||
\(633\) | −410.394 | + | 236.941i | −0.648331 | + | 0.374314i | ||||
\(634\) | 129.403 | − | 74.7111i | 0.204106 | − | 0.117841i | ||||
\(635\) | −102.433 | − | 59.1395i | −0.161311 | − | 0.0931331i | ||||
\(636\) | − | 272.818i | − | 0.428960i | ||||||
\(637\) | −29.6372 | + | 804.471i | −0.0465262 | + | 1.26291i | ||||
\(638\) | 411.213 | 0.644535 | ||||||||
\(639\) | 336.135 | + | 194.068i | 0.526033 | + | 0.303705i | ||||
\(640\) | 134.475 | − | 77.6389i | 0.210117 | − | 0.121311i | ||||
\(641\) | −55.6842 | + | 32.1493i | −0.0868709 | + | 0.0501549i | −0.542806 | − | 0.839858i | \(-0.682638\pi\) |
0.455935 | + | 0.890013i | \(0.349305\pi\) | |||||||
\(642\) | 472.715 | − | 818.767i | 0.736316 | − | 1.27534i | ||||
\(643\) | −186.274 | −0.289695 | −0.144848 | − | 0.989454i | \(-0.546269\pi\) | ||||
−0.144848 | + | 0.989454i | \(0.546269\pi\) | |||||||
\(644\) | 407.638 | + | 422.932i | 0.632979 | + | 0.656727i | ||||
\(645\) | 85.7131i | 0.132889i | ||||||||
\(646\) | 425.088 | − | 736.274i | 0.658031 | − | 1.13974i | ||||
\(647\) | −18.5668 | + | 10.7195i | −0.0286967 | + | 0.0165681i | −0.514280 | − | 0.857623i | \(-0.671941\pi\) |
0.485583 | + | 0.874191i | \(0.338607\pi\) | |||||||
\(648\) | 1.22732 | + | 2.12577i | 0.00189401 | + | 0.00328051i | ||||
\(649\) | 165.436 | − | 286.543i | 0.254909 | − | 0.441515i | ||||
\(650\) | 964.142 | 1.48329 | ||||||||
\(651\) | 142.982 | + | 575.819i | 0.219634 | + | 0.884515i | ||||
\(652\) | −305.089 | −0.467928 | ||||||||
\(653\) | −341.328 | − | 197.066i | −0.522707 | − | 0.301785i | 0.215334 | − | 0.976540i | \(-0.430916\pi\) |
−0.738042 | + | 0.674755i | \(0.764249\pi\) | |||||||
\(654\) | 408.812 | − | 236.028i | 0.625095 | − | 0.360899i | ||||
\(655\) | −91.4947 | − | 158.473i | −0.139687 | − | 0.241944i | ||||
\(656\) | −751.131 | − | 323.820i | −1.14502 | − | 0.493628i | ||||
\(657\) | 527.794i | 0.803340i | ||||||||
\(658\) | 24.1430 | − | 83.8930i | 0.0366915 | − | 0.127497i | ||||
\(659\) | − | 225.040i | − | 0.341487i | −0.985316 | − | 0.170743i | \(-0.945383\pi\) | ||
0.985316 | − | 0.170743i | \(-0.0546169\pi\) | |||||||
\(660\) | −29.0285 | + | 50.2788i | −0.0439825 | + | 0.0761799i | ||||
\(661\) | −48.3797 | + | 27.9320i | −0.0731917 | + | 0.0422573i | −0.536149 | − | 0.844123i | \(-0.680122\pi\) |
0.462958 | + | 0.886380i | \(0.346788\pi\) | |||||||
\(662\) | 315.909 | − | 182.390i | 0.477204 | − | 0.275514i | ||||
\(663\) | 210.040 | − | 363.799i | 0.316802 | − | 0.548717i | ||||
\(664\) | 116.859i | 0.175992i | ||||||||
\(665\) | 201.097 | + | 57.8723i | 0.302401 | + | 0.0870260i | ||||
\(666\) | −166.673 | −0.250259 | ||||||||
\(667\) | −462.785 | − | 267.189i | −0.693831 | − | 0.400583i | ||||
\(668\) | 302.887 | + | 524.615i | 0.453423 | + | 0.785352i | ||||
\(669\) | 59.8696 | − | 34.5657i | 0.0894912 | − | 0.0516678i | ||||
\(670\) | 76.5410 | − | 132.573i | 0.114240 | − | 0.197870i | ||||
\(671\) | −493.240 | −0.735082 | ||||||||
\(672\) | 401.936 | − | 99.8048i | 0.598119 | − | 0.148519i | ||||
\(673\) | 1109.04i | 1.64790i | 0.566663 | + | 0.823949i | \(0.308234\pi\) | ||||
−0.566663 | + | 0.823949i | \(0.691766\pi\) | |||||||
\(674\) | −242.281 | + | 419.643i | −0.359467 | + | 0.622615i | ||||
\(675\) | 316.911 | + | 548.906i | 0.469498 | + | 0.813194i | ||||
\(676\) | −112.167 | − | 194.279i | −0.165927 | − | 0.287395i | ||||
\(677\) | 791.507 | + | 456.977i | 1.16914 | + | 0.675003i | 0.953477 | − | 0.301465i | \(-0.0974758\pi\) |
0.215662 | + | 0.976468i | \(0.430809\pi\) | |||||||
\(678\) | 691.907 | 1.02051 | ||||||||
\(679\) | 378.773 | + | 392.984i | 0.557840 | + | 0.578769i | ||||
\(680\) | 74.5427i | 0.109622i | ||||||||
\(681\) | 246.047 | − | 426.167i | 0.361303 | − | 0.625795i | ||||
\(682\) | 666.580 | + | 1154.55i | 0.977390 | + | 1.69289i | ||||
\(683\) | 1058.94 | − | 611.381i | 1.55043 | − | 0.895140i | 0.552321 | − | 0.833631i | \(-0.313742\pi\) |
0.998107 | − | 0.0615084i | \(-0.0195911\pi\) | |||||||
\(684\) | 152.933 | − | 264.888i | 0.223586 | − | 0.387263i | ||||
\(685\) | −281.395 | −0.410796 | ||||||||
\(686\) | −175.493 | − | 837.464i | −0.255820 | − | 1.22079i | ||||
\(687\) | −321.017 | −0.467273 | ||||||||
\(688\) | 381.208 | − | 660.272i | 0.554082 | − | 0.959698i | ||||
\(689\) | −945.495 | + | 545.882i | −1.37227 | + | 0.792281i | ||||
\(690\) | 182.899 | − | 105.597i | 0.265071 | − | 0.153039i | ||||
\(691\) | −374.069 | + | 647.906i | −0.541344 | + | 0.937636i | 0.457483 | + | 0.889218i | \(0.348751\pi\) |
−0.998827 | + | 0.0484174i | \(0.984582\pi\) | |||||||
\(692\) | 506.009i | 0.731226i | ||||||||
\(693\) | −328.033 | + | 316.170i | −0.473352 | + | 0.456234i | ||||
\(694\) | − | 320.568i | − | 0.461914i | ||||||
\(695\) | −6.88377 | + | 11.9230i | −0.00990470 | + | 0.0171554i | ||||
\(696\) | −100.359 | + | 57.9426i | −0.144195 | + | 0.0832508i | ||||
\(697\) | 455.290 | − | 339.099i | 0.653214 | − | 0.486512i | ||||
\(698\) | −219.426 | − | 126.686i | −0.314364 | − | 0.181498i | ||||
\(699\) | 202.382i | 0.289530i | ||||||||
\(700\) | −355.301 | + | 88.2248i | −0.507573 | + | 0.126035i | ||||
\(701\) | 685.042 | 0.977236 | 0.488618 | − | 0.872498i | \(-0.337501\pi\) | ||||
0.488618 | + | 0.872498i | \(0.337501\pi\) | |||||||
\(702\) | 552.107 | − | 956.277i | 0.786477 | − | 1.36222i | ||||
\(703\) | −147.099 | − | 254.782i | −0.209244 | − | 0.362422i | ||||
\(704\) | 1.21814 | − | 0.703293i | 0.00173031 | − | 0.000998995i | ||||
\(705\) | −9.71034 | − | 5.60627i | −0.0137735 | − | 0.00795216i | ||||
\(706\) | 308.122i | 0.436433i | ||||||||
\(707\) | −185.083 | + | 643.135i | −0.261787 | + | 0.909667i | ||||
\(708\) | − | 116.661i | − | 0.164775i | ||||||
\(709\) | 432.258 | + | 249.564i | 0.609673 | + | 0.351995i | 0.772837 | − | 0.634604i | \(-0.218837\pi\) |
−0.163165 | + | 0.986599i | \(0.552170\pi\) | |||||||
\(710\) | 105.190 | + | 182.194i | 0.148155 | + | 0.256611i | ||||
\(711\) | 668.180 | − | 385.774i | 0.939775 | − | 0.542579i | ||||
\(712\) | 132.304 | − | 229.157i | 0.185820 | − | 0.321850i | ||||
\(713\) | − | 1732.46i | − | 2.42982i | ||||||
\(714\) | −123.484 | + | 429.088i | −0.172947 | + | 0.600963i | ||||
\(715\) | 232.332 | 0.324940 | ||||||||
\(716\) | −403.324 | − | 232.859i | −0.563302 | − | 0.325223i | ||||
\(717\) | 346.243 | − | 199.904i | 0.482906 | − | 0.278806i | ||||
\(718\) | −243.430 | − | 421.633i | −0.339039 | − | 0.587232i | ||||
\(719\) | −87.3892 | + | 151.363i | −0.121543 | + | 0.210518i | −0.920376 | − | 0.391034i | \(-0.872117\pi\) |
0.798834 | + | 0.601552i | \(0.205451\pi\) | |||||||
\(720\) | 135.442i | 0.188114i | ||||||||
\(721\) | −323.379 | − | 1302.32i | −0.448515 | − | 1.80627i | ||||
\(722\) | 610.744 | 0.845906 | ||||||||
\(723\) | 438.377 | + | 253.097i | 0.606331 | + | 0.350065i | ||||
\(724\) | −63.6704 | − | 110.280i | −0.0879425 | − | 0.152321i | ||||
\(725\) | 288.425 | − | 166.522i | 0.397828 | − | 0.229686i | ||||
\(726\) | 33.5695 | − | 58.1441i | 0.0462390 | − | 0.0800884i | ||||
\(727\) | −438.029 | −0.602515 | −0.301258 | − | 0.953543i | \(-0.597406\pi\) | ||||
−0.301258 | + | 0.953543i | \(0.597406\pi\) | |||||||
\(728\) | −353.760 | − | 367.033i | −0.485934 | − | 0.504166i | ||||
\(729\) | 444.693 | 0.610005 | ||||||||
\(730\) | −143.039 | + | 247.751i | −0.195944 | + | 0.339385i | ||||
\(731\) | 264.573 | + | 458.254i | 0.361933 | + | 0.626887i | ||||
\(732\) | −150.610 | + | 86.9549i | −0.205752 | + | 0.118791i | ||||
\(733\) | −832.655 | − | 480.734i | −1.13596 | − | 0.655844i | −0.190530 | − | 0.981681i | \(-0.561021\pi\) |
−0.945426 | + | 0.325837i | \(0.894354\pi\) | |||||||
\(734\) | 901.290i | 1.22792i | ||||||||
\(735\) | −109.826 | − | 4.04604i | −0.149423 | − | 0.00550482i | ||||
\(736\) | −1209.30 | −1.64307 | ||||||||
\(737\) | −294.149 | + | 509.480i | −0.399116 | + | 0.691290i | ||||
\(738\) | 458.518 | − | 341.503i | 0.621298 | − | 0.462741i | ||||
\(739\) | −281.900 | − | 488.266i | −0.381462 | − | 0.660711i | 0.609810 | − | 0.792548i | \(-0.291246\pi\) |
−0.991271 | + | 0.131837i | \(0.957913\pi\) | |||||||
\(740\) | −27.9493 | − | 16.1365i | −0.0377693 | − | 0.0218061i | ||||
\(741\) | 746.747 | 1.00776 | ||||||||
\(742\) | 835.521 | − | 805.307i | 1.12604 | − | 1.08532i | ||||
\(743\) | 194.818 | 0.262205 | 0.131102 | − | 0.991369i | \(-0.458148\pi\) | ||||
0.131102 | + | 0.991369i | \(0.458148\pi\) | |||||||
\(744\) | −325.367 | − | 187.851i | −0.437321 | − | 0.252487i | ||||
\(745\) | 122.367 | + | 211.946i | 0.164251 | + | 0.284491i | ||||
\(746\) | 350.497 | + | 607.078i | 0.469835 | + | 0.813778i | ||||
\(747\) | −127.622 | − | 73.6826i | −0.170846 | − | 0.0986381i | ||||
\(748\) | 358.412i | 0.479160i | ||||||||
\(749\) | 1394.25 | − | 346.206i | 1.86148 | − | 0.462224i | ||||
\(750\) | 271.501i | 0.362001i | ||||||||
\(751\) | 15.0805 | + | 8.70674i | 0.0200806 | + | 0.0115935i | 0.510007 | − | 0.860170i | \(-0.329643\pi\) |
−0.489926 | + | 0.871764i | \(0.662976\pi\) | |||||||
\(752\) | 49.8677 | + | 86.3733i | 0.0663134 | + | 0.114858i | ||||
\(753\) | 237.279 | − | 136.993i | 0.315111 | − | 0.181929i | ||||
\(754\) | −502.480 | − | 290.107i | −0.666419 | − | 0.384757i | ||||
\(755\) | 222.832 | 0.295141 | ||||||||
\(756\) | −115.955 | + | 402.924i | −0.153379 | + | 0.532968i | ||||
\(757\) | 856.891i | 1.13196i | 0.824420 | + | 0.565978i | \(0.191501\pi\) | ||||
−0.824420 | + | 0.565978i | \(0.808499\pi\) | |||||||
\(758\) | −112.816 | + | 195.402i | −0.148833 | + | 0.257787i | ||||
\(759\) | −702.884 | + | 405.810i | −0.926066 | + | 0.534665i | ||||
\(760\) | −114.757 | + | 66.2548i | −0.150996 | + | 0.0871773i | ||||
\(761\) | 76.9813 | + | 44.4451i | 0.101158 | + | 0.0584036i | 0.549726 | − | 0.835345i | \(-0.314732\pi\) |
−0.448568 | + | 0.893749i | \(0.648066\pi\) | |||||||
\(762\) | 448.633 | 0.588757 | ||||||||
\(763\) | 689.316 | + | 198.373i | 0.903428 | + | 0.259991i | ||||
\(764\) | 651.636i | 0.852927i | ||||||||
\(765\) | −81.4083 | − | 47.0011i | −0.106416 | − | 0.0614393i | ||||
\(766\) | 320.090 | + | 554.412i | 0.417872 | + | 0.723776i | ||||
\(767\) | −404.307 | + | 233.427i | −0.527128 | + | 0.304337i | ||||
\(768\) | −294.931 | + | 510.835i | −0.384025 | + | 0.665150i | ||||
\(769\) | 759.027i | 0.987031i | 0.869737 | + | 0.493516i | \(0.164288\pi\) | ||||
−0.869737 | + | 0.493516i | \(0.835712\pi\) | |||||||
\(770\) | −239.668 | + | 59.5119i | −0.311257 | + | 0.0772882i | ||||
\(771\) | −411.394 | −0.533585 | ||||||||
\(772\) | 201.009 | + | 116.053i | 0.260374 | + | 0.150327i | ||||
\(773\) | −434.131 | − | 751.937i | −0.561618 | − | 0.972752i | −0.997355 | − | 0.0726775i | \(-0.976846\pi\) |
0.435737 | − | 0.900074i | \(-0.356488\pi\) | |||||||
\(774\) | 266.449 | + | 461.503i | 0.344249 | + | 0.596257i | ||||
\(775\) | 935.078 | + | 539.868i | 1.20655 | + | 0.696604i | ||||
\(776\) | −345.624 | −0.445391 | ||||||||
\(777\) | 107.224 | + | 111.247i | 0.137998 | + | 0.143176i | ||||
\(778\) | −1070.63 | −1.37613 | ||||||||
\(779\) | 926.705 | + | 399.512i | 1.18961 | + | 0.512852i | ||||
\(780\) | 70.9423 | − | 40.9586i | 0.0909517 | − | 0.0525110i | ||||
\(781\) | −404.247 | − | 700.176i | −0.517601 | − | 0.896512i | ||||
\(782\) | 651.898 | − | 1129.12i | 0.833629 | − | 1.44389i | ||||
\(783\) | − | 381.430i | − | 0.487139i | ||||||
\(784\) | 828.024 | + | 519.617i | 1.05615 | + | 0.662776i | ||||
\(785\) | 148.088i | 0.188647i | ||||||||
\(786\) | 601.091 | + | 347.040i | 0.764746 | + | 0.441526i | ||||
\(787\) | −683.567 | + | 394.657i | −0.868573 | + | 0.501471i | −0.866874 | − | 0.498528i | \(-0.833874\pi\) |
−0.00169899 | + | 0.999999i | \(0.500541\pi\) | |||||||
\(788\) | −195.398 | − | 338.440i | −0.247967 | − | 0.429492i | ||||
\(789\) | 131.670 | + | 76.0197i | 0.166882 | + | 0.0963494i | ||||
\(790\) | 418.199 | 0.529366 | ||||||||
\(791\) | 729.609 | + | 756.983i | 0.922388 | + | 0.956995i | ||||
\(792\) | − | 288.500i | − | 0.364267i | ||||||
\(793\) | 602.712 | + | 347.976i | 0.760040 | + | 0.438809i | ||||
\(794\) | 138.355 | + | 239.638i | 0.174250 | + | 0.301811i | ||||
\(795\) | −74.5233 | − | 129.078i | −0.0937400 | − | 0.162362i | ||||
\(796\) | 267.425 | − | 463.193i | 0.335961 | − | 0.581901i | ||||
\(797\) | − | 220.177i | − | 0.276257i | −0.990414 | − | 0.138129i | \(-0.955891\pi\) | ||
0.990414 | − | 0.138129i | \(-0.0441087\pi\) | |||||||
\(798\) | −770.325 | + | 191.280i | −0.965320 | + | 0.239699i | ||||
\(799\) | −69.2202 | −0.0866335 | ||||||||
\(800\) | 376.841 | − | 652.708i | 0.471051 | − | 0.815885i | ||||
\(801\) | 166.842 | + | 288.979i | 0.208292 | + | 0.360773i | ||||
\(802\) | −346.745 | − | 600.579i | −0.432350 | − | 0.748852i | ||||
\(803\) | 549.703 | − | 952.113i | 0.684561 | − | 1.18569i | ||||
\(804\) | 207.426i | 0.257992i | ||||||||
\(805\) | 308.394 | + | 88.7506i | 0.383098 | + | 0.110249i | ||||
\(806\) | − | 1881.06i | − | 2.33382i | ||||||
\(807\) | 200.447 | + | 115.728i | 0.248386 | + | 0.143406i | ||||
\(808\) | −211.892 | − | 367.007i | −0.262242 | − | 0.454217i | ||||
\(809\) | −723.474 | + | 417.698i | −0.894282 | + | 0.516314i | −0.875341 | − | 0.483507i | \(-0.839363\pi\) |
−0.0189414 | + | 0.999821i | \(0.506030\pi\) | |||||||
\(810\) | −1.45302 | − | 0.838899i | −0.00179385 | − | 0.00103568i | ||||
\(811\) | 214.123i | 0.264024i | 0.991248 | + | 0.132012i | \(0.0421437\pi\) | ||||
−0.991248 | + | 0.132012i | \(0.957856\pi\) | |||||||
\(812\) | 211.718 | + | 60.9289i | 0.260736 | + | 0.0750356i | ||||
\(813\) | − | 934.370i | − | 1.14929i | ||||||
\(814\) | 300.669 | + | 173.591i | 0.369372 | + | 0.213257i | ||||
\(815\) | −144.346 | + | 83.3384i | −0.177112 | + | 0.102256i | ||||
\(816\) | −255.058 | − | 441.774i | −0.312572 | − | 0.541390i | ||||
\(817\) | −470.314 | + | 814.609i | −0.575660 | + | 0.997073i | ||||
\(818\) | − | 570.488i | − | 0.697418i | ||||||
\(819\) | 623.893 | − | 154.919i | 0.761774 | − | 0.189156i | ||||
\(820\) | 109.952 | − | 12.8748i | 0.134087 | − | 0.0157010i | ||||
\(821\) | 306.684 | − | 531.192i | 0.373549 | − | 0.647006i | −0.616560 | − | 0.787308i | \(-0.711474\pi\) |
0.990109 | + | 0.140302i | \(0.0448075\pi\) | |||||||
\(822\) | 924.338 | − | 533.667i | 1.12450 | − | 0.649230i | ||||
\(823\) | 591.745 | − | 341.644i | 0.719010 | − | 0.415120i | −0.0953784 | − | 0.995441i | \(-0.530406\pi\) |
0.814388 | + | 0.580321i | \(0.197073\pi\) | |||||||
\(824\) | 735.876 | + | 424.858i | 0.893054 | + | 0.515605i | ||||
\(825\) | − | 505.833i | − | 0.613130i | ||||||
\(826\) | 357.281 | − | 344.361i | 0.432543 | − | 0.416901i | ||||
\(827\) | 1264.03i | 1.52845i | 0.644950 | + | 0.764225i | \(0.276878\pi\) | ||||
−0.644950 | + | 0.764225i | \(0.723122\pi\) | |||||||
\(828\) | 234.532 | − | 406.221i | 0.283251 | − | 0.490606i | ||||
\(829\) | 118.676 | − | 68.5175i | 0.143155 | − | 0.0826508i | −0.426712 | − | 0.904388i | \(-0.640328\pi\) |
0.569867 | + | 0.821737i | \(0.306995\pi\) | |||||||
\(830\) | −39.9380 | − | 69.1746i | −0.0481180 | − | 0.0833428i | ||||
\(831\) | 240.163 | − | 415.974i | 0.289004 | − | 0.500570i | ||||
\(832\) | −1.98466 | −0.00238541 | ||||||||
\(833\) | −599.658 | + | 317.371i | −0.719878 | + | 0.380997i | ||||
\(834\) | − | 52.2203i | − | 0.0626143i | ||||||
\(835\) | 286.609 | + | 165.474i | 0.343244 | + | 0.198172i | ||||
\(836\) | −551.767 | + | 318.563i | −0.660008 | + | 0.381056i | ||||
\(837\) | 1070.93 | − | 618.300i | 1.27948 | − | 0.738710i | ||||
\(838\) | 1659.39 | + | 958.049i | 1.98018 | + | 1.14326i | ||||
\(839\) | −722.472 | −0.861110 | −0.430555 | − | 0.902564i | \(-0.641682\pi\) | ||||
−0.430555 | + | 0.902564i | \(0.641682\pi\) | |||||||
\(840\) | 50.1070 | − | 48.2950i | 0.0596512 | − | 0.0574941i | ||||
\(841\) | 640.576 | 0.761684 | ||||||||
\(842\) | −676.492 | − | 390.573i | −0.803435 | − | 0.463863i | ||||
\(843\) | −358.550 | + | 207.009i | −0.425327 | + | 0.245562i | ||||
\(844\) | −494.052 | + | 285.241i | −0.585370 | + | 0.337963i | ||||
\(845\) | −106.139 | − | 61.2793i | −0.125608 | − | 0.0725199i | ||||
\(846\) | −69.7109 | −0.0824006 | ||||||||
\(847\) | 99.0116 | − | 24.5856i | 0.116897 | − | 0.0290267i | ||||
\(848\) | 1325.77i | 1.56340i | ||||||||
\(849\) | −141.346 | − | 81.6064i | −0.166486 | − | 0.0961206i | ||||
\(850\) | 406.287 | + | 703.710i | 0.477985 | + | 0.827894i | ||||
\(851\) | −225.585 | − | 390.724i | −0.265082 | − | 0.459135i | ||||
\(852\) | −246.872 | − | 142.532i | −0.289756 | − | 0.167291i | ||||
\(853\) | 1077.36i | 1.26302i | 0.775368 | + | 0.631510i | \(0.217565\pi\) | ||||
−0.775368 | + | 0.631510i | \(0.782435\pi\) | |||||||
\(854\) | −710.877 | − | 204.578i | −0.832408 | − | 0.239553i | ||||
\(855\) | − | 167.101i | − | 0.195440i | ||||||
\(856\) | −454.848 | + | 787.820i | −0.531365 | + | 0.920351i | ||||
\(857\) | 530.563 | − | 306.321i | 0.619093 | − | 0.357434i | −0.157423 | − | 0.987531i | \(-0.550318\pi\) |
0.776516 | + | 0.630098i | \(0.216985\pi\) | |||||||
\(858\) | −763.173 | + | 440.618i | −0.889479 | + | 0.513541i | ||||
\(859\) | 737.953 | + | 426.058i | 0.859084 | + | 0.495992i | 0.863706 | − | 0.503997i | \(-0.168138\pi\) |
−0.00462131 | + | 0.999989i | \(0.501471\pi\) | |||||||
\(860\) | 103.186i | 0.119983i | ||||||||
\(861\) | −522.915 | − | 86.3457i | −0.607335 | − | 0.100285i | ||||
\(862\) | −977.049 | −1.13347 | ||||||||
\(863\) | 62.0921 | − | 107.547i | 0.0719492 | − | 0.124620i | −0.827806 | − | 0.561014i | \(-0.810411\pi\) |
0.899756 | + | 0.436394i | \(0.143745\pi\) | |||||||
\(864\) | −431.589 | − | 747.534i | −0.499524 | − | 0.865201i | ||||
\(865\) | 138.222 | + | 239.407i | 0.159794 | + | 0.276771i | ||||
\(866\) | −1116.85 | − | 644.812i | −1.28966 | − | 0.744587i | ||||
\(867\) | −179.649 | −0.207207 | ||||||||
\(868\) | 172.128 | + | 693.200i | 0.198305 | + | 0.798617i | ||||
\(869\) | −1607.15 | −1.84942 | ||||||||
\(870\) | 39.6051 | − | 68.5981i | 0.0455231 | − | 0.0788484i | ||||
\(871\) | 718.867 | − | 415.038i | 0.825335 | − | 0.476507i | ||||
\(872\) | −393.360 | + | 227.107i | −0.451101 | + | 0.260444i | ||||
\(873\) | 217.925 | − | 377.457i | 0.249627 | − | 0.432367i | ||||
\(874\) | 2317.67 | 2.65180 | ||||||||
\(875\) | −297.037 | + | 286.295i | −0.339470 | + | 0.327194i | ||||
\(876\) | − | 387.635i | − | 0.442506i | ||||||
\(877\) | −268.929 | + | 465.798i | −0.306646 | + | 0.531127i | −0.977627 | − | 0.210348i | \(-0.932540\pi\) |
0.670980 | + | 0.741475i | \(0.265874\pi\) | |||||||
\(878\) | −452.787 | − | 784.250i | −0.515703 | − | 0.893224i | ||||
\(879\) | −399.230 | − | 691.487i | −0.454187 | − | 0.786675i | ||||
\(880\) | 141.064 | − | 244.331i | 0.160301 | − | 0.277649i | ||||
\(881\) | − | 423.196i | − | 0.480358i | −0.970729 | − | 0.240179i | \(-0.922794\pi\) | ||
0.970729 | − | 0.240179i | \(-0.0772062\pi\) | |||||||
\(882\) | −603.910 | + | 319.621i | −0.684705 | + | 0.362382i | ||||
\(883\) | 283.711i | 0.321304i | 0.987011 | + | 0.160652i | \(0.0513597\pi\) | ||||
−0.987011 | + | 0.160652i | \(0.948640\pi\) | |||||||
\(884\) | 252.856 | − | 437.960i | 0.286036 | − | 0.495429i | ||||
\(885\) | −31.8672 | − | 55.1956i | −0.0360082 | − | 0.0623679i | ||||
\(886\) | 527.238 | + | 913.203i | 0.595077 | + | 1.03070i | ||||
\(887\) | −372.678 | + | 645.497i | −0.420155 | + | 0.727730i | −0.995954 | − | 0.0898609i | \(-0.971358\pi\) |
0.575799 | + | 0.817591i | \(0.304691\pi\) | |||||||
\(888\) | −97.8404 | −0.110181 | ||||||||
\(889\) | 473.079 | + | 490.828i | 0.532147 | + | 0.552113i | ||||
\(890\) | 180.866i | 0.203220i | ||||||||
\(891\) | 5.58397 | + | 3.22391i | 0.00626708 | + | 0.00361830i | ||||
\(892\) | 72.0740 | − | 41.6119i | 0.0808004 | − | 0.0466501i | ||||
\(893\) | −61.5241 | − | 106.563i | −0.0688959 | − | 0.119331i | ||||
\(894\) | −803.911 | − | 464.138i | −0.899229 | − | 0.519170i | ||||
\(895\) | −254.432 | −0.284282 | ||||||||
\(896\) | −868.568 | + | 215.674i | −0.969384 | + | 0.240708i | ||||
\(897\) | 1145.18 | 1.27668 | ||||||||
\(898\) | −532.656 | + | 922.587i | −0.593158 | + | 1.02738i | ||||
\(899\) | −324.889 | − | 562.724i | −0.361389 | − | 0.625944i | ||||
\(900\) | 146.169 | + | 253.172i | 0.162410 | + | 0.281303i | ||||
\(901\) | −796.859 | − | 460.067i | −0.884416 | − | 0.510618i | ||||
\(902\) | −1182.82 | + | 138.503i | −1.31133 | + | 0.153551i | ||||
\(903\) | 136.622 | − | 474.740i | 0.151298 | − | 0.525736i | ||||
\(904\) | −665.755 | −0.736455 | ||||||||
\(905\) | −60.2486 | − | 34.7845i | −0.0665730 | − | 0.0384359i | ||||
\(906\) | −731.966 | + | 422.601i | −0.807909 | + | 0.466447i | ||||
\(907\) | 117.514 | + | 203.540i | 0.129563 | + | 0.224410i | 0.923508 | − | 0.383580i | \(-0.125309\pi\) |
−0.793944 | + | 0.607991i | \(0.791976\pi\) | |||||||
\(908\) | 296.204 | − | 513.040i | 0.326216 | − | 0.565023i | ||||
\(909\) | 534.413 | 0.587913 | ||||||||
\(910\) | 334.846 | + | 96.3630i | 0.367962 | + | 0.105893i | ||||
\(911\) | 122.976 | 0.134990 | 0.0674951 | − | 0.997720i | \(-0.478499\pi\) | ||||
0.0674951 | + | 0.997720i | \(0.478499\pi\) | |||||||
\(912\) | 453.401 | − | 785.313i | 0.497150 | − | 0.861089i | ||||
\(913\) | 153.482 | + | 265.839i | 0.168108 | + | 0.291171i | ||||
\(914\) | 63.7688 | − | 36.8169i | 0.0697690 | − | 0.0402811i | ||||
\(915\) | −47.5054 | + | 82.2817i | −0.0519184 | + | 0.0899253i | ||||
\(916\) | −386.456 | −0.421895 | ||||||||
\(917\) | 254.164 | + | 1023.58i | 0.277169 | + | 1.11622i | ||||
\(918\) | 930.626 | 1.01375 | ||||||||
\(919\) | −998.299 | − | 576.368i | −1.08629 | − | 0.627169i | −0.153702 | − | 0.988117i | \(-0.549120\pi\) |
−0.932586 | + | 0.360948i | \(0.882453\pi\) | |||||||
\(920\) | −175.986 | + | 101.606i | −0.191289 | + | 0.110441i | ||||
\(921\) | −608.591 | + | 351.370i | −0.660794 | + | 0.381510i | ||||
\(922\) | −755.583 | − | 436.236i | −0.819504 | − | 0.473141i | ||||
\(923\) | 1140.77i | 1.23593i | ||||||||
\(924\) | 240.922 | − | 232.209i | 0.260738 | − | 0.251309i | ||||
\(925\) | 281.186 | 0.303984 | ||||||||
\(926\) | −1855.87 | − | 1071.49i | −2.00418 | − | 1.15711i | ||||
\(927\) | −927.979 | + | 535.769i | −1.00106 | + | 0.577960i | ||||
\(928\) | −392.795 | + | 226.780i | −0.423270 | + | 0.244375i | ||||
\(929\) | 115.853 | − | 200.664i | 0.124707 | − | 0.215999i | −0.796911 | − | 0.604097i | \(-0.793534\pi\) |
0.921619 | + | 0.388097i | \(0.126867\pi\) | |||||||
\(930\) | 256.801 | 0.276130 | ||||||||
\(931\) | −1021.57 | − | 641.075i | −1.09728 | − | 0.688588i | ||||
\(932\) | 243.637i | 0.261413i | ||||||||
\(933\) | −148.290 | + | 256.845i | −0.158938 | + | 0.275289i | ||||
\(934\) | 607.683 | − | 350.846i | 0.650624 | − | 0.375638i | ||||
\(935\) | 97.9042 | + | 169.575i | 0.104710 | + | 0.181364i | ||||
\(936\) | −203.534 | + | 352.531i | −0.217450 | + | 0.376635i | ||||
\(937\) | −1550.11 | −1.65433 | −0.827167 | − | 0.561957i | \(-0.810049\pi\) | ||||
−0.827167 | + | 0.561957i | \(0.810049\pi\) | |||||||
\(938\) | −635.253 | + | 612.281i | −0.677242 | + | 0.652751i | ||||
\(939\) | 435.988 | 0.464311 | ||||||||
\(940\) | −11.6898 | − | 6.74910i | −0.0124359 | − | 0.00717990i | ||||
\(941\) | −30.4187 | + | 17.5622i | −0.0323259 | + | 0.0186634i | −0.516076 | − | 0.856543i | \(-0.672608\pi\) |
0.483750 | + | 0.875206i | \(0.339274\pi\) | |||||||
\(942\) | −280.849 | − | 486.446i | −0.298142 | − | 0.516397i | ||||
\(943\) | 1421.16 | + | 612.675i | 1.50706 | + | 0.649708i | ||||
\(944\) | 566.917i | 0.600547i | ||||||||
\(945\) | 55.2016 | + | 222.309i | 0.0584144 | + | 0.235248i | ||||
\(946\) | − | 1110.04i | − | 1.17340i | ||||||
\(947\) | −75.5861 | + | 130.919i | −0.0798163 | + | 0.138246i | −0.903171 | − | 0.429282i | \(-0.858767\pi\) |
0.823354 | + | 0.567528i | \(0.192100\pi\) | |||||||
\(948\) | −490.741 | + | 283.329i | −0.517659 | + | 0.298871i | ||||
\(949\) | −1343.41 | + | 775.619i | −1.41561 | + | 0.817302i | ||||
\(950\) | −722.230 | + | 1250.94i | −0.760242 | + | 1.31678i | ||||
\(951\) | 110.612i | 0.116311i | ||||||||
\(952\) | 118.817 | − | 412.870i | 0.124808 | − | 0.433687i | ||||
\(953\) | 302.088 | 0.316987 | 0.158493 | − | 0.987360i | \(-0.449336\pi\) | ||||
0.158493 | + | 0.987360i | \(0.449336\pi\) | |||||||
\(954\) | −802.508 | − | 463.328i | −0.841203 | − | 0.485669i | ||||
\(955\) | 178.002 | + | 308.308i | 0.186389 | + | 0.322835i | ||||
\(956\) | 416.825 | − | 240.654i | 0.436009 | − | 0.251730i | ||||
\(957\) | −152.203 | + | 263.624i | −0.159042 | + | 0.275469i | ||||
\(958\) | −2311.42 | −2.41275 | ||||||||
\(959\) | 1558.57 | + | 448.529i | 1.62520 | + | 0.467705i | ||||
\(960\) | − | 0.270945i | − | 0.000282234i | ||||||
\(961\) | 572.794 | − | 992.108i | 0.596039 | − | 1.03237i | ||||
\(962\) | −244.934 | − | 424.238i | −0.254609 | − | 0.440995i | ||||
\(963\) | −573.587 | − | 993.483i | −0.595626 | − | 1.03165i | ||||
\(964\) | 527.740 | + | 304.691i | 0.547448 | + | 0.316069i | ||||
\(965\) | 126.804 | 0.131403 | ||||||||
\(966\) | −1181.34 | + | 293.338i | −1.22292 | + | 0.303663i | ||||
\(967\) | 1011.73i | 1.04626i | 0.852254 | + | 0.523128i | \(0.175235\pi\) | ||||
−0.852254 | + | 0.523128i | \(0.824765\pi\) | |||||||
\(968\) | −32.3007 | + | 55.9465i | −0.0333685 | + | 0.0577960i | ||||
\(969\) | 314.677 | + | 545.037i | 0.324745 | + | 0.562474i | ||||
\(970\) | 204.592 | − | 118.121i | 0.210919 | − | 0.121774i | ||||
\(971\) | −371.542 | + | 643.529i | −0.382638 | + | 0.662749i | −0.991438 | − | 0.130575i | \(-0.958318\pi\) |
0.608800 | + | 0.793324i | \(0.291651\pi\) | |||||||
\(972\) | 541.344 | 0.556938 | ||||||||
\(973\) | 57.1318 | − | 55.0658i | 0.0587172 | − | 0.0565939i | ||||
\(974\) | 979.888 | 1.00604 | ||||||||
\(975\) | −356.860 | + | 618.099i | −0.366010 | + | 0.633948i | ||||
\(976\) | 731.894 | − | 422.559i | 0.749891 | − | 0.432950i | ||||
\(977\) | −664.195 | + | 383.473i | −0.679831 | + | 0.392501i | −0.799791 | − | 0.600278i | \(-0.795057\pi\) |
0.119960 | + | 0.992779i | \(0.461723\pi\) | |||||||
\(978\) | 316.103 | − | 547.506i | 0.323214 | − | 0.559822i | ||||
\(979\) | − | 695.071i | − | 0.709980i | ||||||
\(980\) | −132.214 | − | 4.87082i | −0.134912 | − | 0.00497023i | ||||
\(981\) | − | 572.787i | − | 0.583881i | ||||||
\(982\) | −647.910 | + | 1122.21i | −0.659786 | + | 1.14278i | ||||
\(983\) | 1392.49 | − | 803.956i | 1.41657 | − | 0.817859i | 0.420578 | − | 0.907257i | \(-0.361827\pi\) |
0.995996 | + | 0.0893974i | \(0.0284941\pi\) | |||||||
\(984\) | 269.160 | − | 200.470i | 0.273536 | − | 0.203729i | ||||
\(985\) | −184.897 | − | 106.750i | −0.187713 | − | 0.108376i | ||||
\(986\) | − | 489.001i | − | 0.495945i | ||||||
\(987\) | 44.8467 | + | 46.5293i | 0.0454373 | + | 0.0471421i | ||||
\(988\) | 898.971 | 0.909890 | ||||||||
\(989\) | −721.255 | + | 1249.25i | −0.729277 | + | 1.26315i | ||||
\(990\) | 98.5982 | + | 170.777i | 0.0995942 | + | 0.172502i | ||||
\(991\) | 1126.07 | − | 650.136i | 1.13629 | − | 0.656040i | 0.190784 | − | 0.981632i | \(-0.438897\pi\) |
0.945510 | + | 0.325592i | \(0.105564\pi\) | |||||||
\(992\) | −1273.45 | − | 735.225i | −1.28372 | − | 0.741154i | ||||
\(993\) | 270.034i | 0.271937i | ||||||||
\(994\) | −292.208 | − | 1176.79i | −0.293972 | − | 1.18389i | ||||
\(995\) | − | 292.200i | − | 0.293668i | ||||||
\(996\) | 93.7313 | + | 54.1158i | 0.0941077 | + | 0.0543331i | ||||
\(997\) | 713.332 | + | 1235.53i | 0.715479 | + | 1.23925i | 0.962775 | + | 0.270305i | \(0.0871247\pi\) |
−0.247296 | + | 0.968940i | \(0.579542\pi\) | |||||||
\(998\) | −476.578 | + | 275.153i | −0.477534 | + | 0.275704i | ||||
\(999\) | 161.018 | − | 278.892i | 0.161179 | − | 0.279171i |
(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 | 287.3.i.a.40.11 | ✓ | 108 | |
7.3 | odd | 6 | inner | 287.3.i.a.122.12 | yes | 108 | |
41.40 | even | 2 | inner | 287.3.i.a.40.12 | yes | 108 | |
287.122 | odd | 6 | inner | 287.3.i.a.122.11 | yes | 108 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
287.3.i.a.40.11 | ✓ | 108 | 1.1 | even | 1 | trivial | |
287.3.i.a.40.12 | yes | 108 | 41.40 | even | 2 | inner | |
287.3.i.a.122.11 | yes | 108 | 287.122 | odd | 6 | inner | |
287.3.i.a.122.12 | yes | 108 | 7.3 | odd | 6 | inner |