Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [108,3,Mod(7,108)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(108, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 16]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("108.7");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 108 = 2^{2} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 108.j (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.94278685509\) |
Analytic rank: | \(0\) |
Dimension: | \(204\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 7.10 | ||
Character | \(\chi\) | \(=\) | 108.7 |
Dual form | 108.3.j.a.31.10 |
$q$-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 \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(55\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.20427 | − | 1.59678i | −0.602137 | − | 0.798392i | ||||
\(3\) | −0.204519 | − | 2.99302i | −0.0681730 | − | 0.997674i | ||||
\(4\) | −1.09944 | + | 3.84594i | −0.274861 | + | 0.961484i | ||||
\(5\) | 1.50670 | + | 8.54492i | 0.301340 | + | 1.70898i | 0.640252 | + | 0.768165i | \(0.278830\pi\) |
−0.338912 | + | 0.940818i | \(0.610059\pi\) | |||||||
\(6\) | −4.53291 | + | 3.93099i | −0.755485 | + | 0.655165i | ||||
\(7\) | −7.53806 | + | 8.98351i | −1.07687 | + | 1.28336i | −0.120017 | + | 0.992772i | \(0.538295\pi\) |
−0.956849 | + | 0.290587i | \(0.906150\pi\) | |||||||
\(8\) | 7.46516 | − | 2.87599i | 0.933146 | − | 0.359499i | ||||
\(9\) | −8.91634 | + | 1.22426i | −0.990705 | + | 0.136029i | ||||
\(10\) | 11.8299 | − | 12.6963i | 1.18299 | − | 1.26963i | ||||
\(11\) | 2.27133 | + | 0.400497i | 0.206485 | + | 0.0364089i | 0.275934 | − | 0.961177i | \(-0.411013\pi\) |
−0.0694489 | + | 0.997586i | \(0.522124\pi\) | |||||||
\(12\) | 11.7358 | + | 2.50409i | 0.977985 | + | 0.208674i | ||||
\(13\) | −4.42594 | − | 1.61091i | −0.340457 | − | 0.123916i | 0.166133 | − | 0.986103i | \(-0.446872\pi\) |
−0.506590 | + | 0.862187i | \(0.669094\pi\) | |||||||
\(14\) | 23.4226 | + | 1.21804i | 1.67304 | + | 0.0870031i | ||||
\(15\) | 25.2670 | − | 6.25718i | 1.68446 | − | 0.417145i | ||||
\(16\) | −13.5824 | − | 8.45678i | −0.848903 | − | 0.528549i | ||||
\(17\) | 6.77412 | + | 11.7331i | 0.398478 | + | 0.690183i | 0.993538 | − | 0.113497i | \(-0.0362053\pi\) |
−0.595061 | + | 0.803681i | \(0.702872\pi\) | |||||||
\(18\) | 12.6926 | + | 12.7631i | 0.705145 | + | 0.709063i | ||||
\(19\) | −13.9009 | − | 8.02568i | −0.731626 | − | 0.422404i | 0.0873908 | − | 0.996174i | \(-0.472147\pi\) |
−0.819017 | + | 0.573770i | \(0.805480\pi\) | |||||||
\(20\) | −34.5197 | − | 3.59998i | −1.72599 | − | 0.179999i | ||||
\(21\) | 28.4295 | + | 20.7243i | 1.35379 | + | 0.986870i | ||||
\(22\) | −2.09580 | − | 4.10914i | −0.0952637 | − | 0.186779i | ||||
\(23\) | 3.20904 | + | 3.82439i | 0.139524 | + | 0.166278i | 0.831281 | − | 0.555852i | \(-0.187608\pi\) |
−0.691758 | + | 0.722130i | \(0.743163\pi\) | |||||||
\(24\) | −10.1347 | − | 21.7552i | −0.422278 | − | 0.906467i | ||||
\(25\) | −47.2531 | + | 17.1987i | −1.89013 | + | 0.687949i | ||||
\(26\) | 2.75777 | + | 9.00726i | 0.106068 | + | 0.346433i | ||||
\(27\) | 5.48779 | + | 26.4364i | 0.203252 | + | 0.979127i | ||||
\(28\) | −26.2623 | − | 38.8678i | −0.937940 | − | 1.38813i | ||||
\(29\) | 34.0967 | − | 12.4102i | 1.17575 | − | 0.427937i | 0.321049 | − | 0.947063i | \(-0.395965\pi\) |
0.854698 | + | 0.519126i | \(0.173742\pi\) | |||||||
\(30\) | −40.4197 | − | 32.8105i | −1.34732 | − | 1.09368i | ||||
\(31\) | 0.283047 | + | 0.337322i | 0.00913054 | + | 0.0108813i | 0.770590 | − | 0.637331i | \(-0.219961\pi\) |
−0.761460 | + | 0.648212i | \(0.775517\pi\) | |||||||
\(32\) | 2.85334 | + | 31.8725i | 0.0891670 | + | 0.996017i | ||||
\(33\) | 0.734166 | − | 6.88006i | 0.0222475 | − | 0.208487i | ||||
\(34\) | 10.5774 | − | 24.9467i | 0.311099 | − | 0.733727i | ||||
\(35\) | −88.1209 | − | 50.8766i | −2.51774 | − | 1.45362i | ||||
\(36\) | 5.09460 | − | 35.6377i | 0.141517 | − | 0.989936i | ||||
\(37\) | 18.9267 | + | 32.7821i | 0.511533 | + | 0.886002i | 0.999911 | + | 0.0133691i | \(0.00425565\pi\) |
−0.488377 | + | 0.872633i | \(0.662411\pi\) | |||||||
\(38\) | 3.92521 | + | 31.8619i | 0.103295 | + | 0.838470i | ||||
\(39\) | −3.91630 | + | 13.5764i | −0.100418 | + | 0.348113i | ||||
\(40\) | 35.8228 | + | 59.4560i | 0.895571 | + | 1.48640i | ||||
\(41\) | 2.35960 | + | 0.858824i | 0.0575512 | + | 0.0209469i | 0.370635 | − | 0.928778i | \(-0.379140\pi\) |
−0.313084 | + | 0.949725i | \(0.601362\pi\) | |||||||
\(42\) | −1.14474 | − | 70.3535i | −0.0272557 | − | 1.67508i | ||||
\(43\) | 17.5866 | + | 3.10099i | 0.408990 | + | 0.0721160i | 0.374358 | − | 0.927284i | \(-0.377863\pi\) |
0.0346317 | + | 0.999400i | \(0.488974\pi\) | |||||||
\(44\) | −4.03749 | + | 8.29508i | −0.0917611 | + | 0.188525i | ||||
\(45\) | −23.8954 | − | 74.3448i | −0.531010 | − | 1.65211i | ||||
\(46\) | 2.24216 | − | 9.72977i | 0.0487425 | − | 0.211517i | ||||
\(47\) | −5.64102 | + | 6.72271i | −0.120022 | + | 0.143036i | −0.822710 | − | 0.568462i | \(-0.807539\pi\) |
0.702688 | + | 0.711498i | \(0.251983\pi\) | |||||||
\(48\) | −22.5334 | + | 42.3821i | −0.469447 | + | 0.882961i | ||||
\(49\) | −15.3723 | − | 87.1809i | −0.313721 | − | 1.77920i | ||||
\(50\) | 84.3684 | + | 54.7411i | 1.68737 | + | 1.09482i | ||||
\(51\) | 33.7320 | − | 22.6747i | 0.661412 | − | 0.444602i | ||||
\(52\) | 11.0615 | − | 15.2508i | 0.212722 | − | 0.293284i | ||||
\(53\) | −41.4639 | −0.782338 | −0.391169 | − | 0.920319i | \(-0.627929\pi\) | ||||
−0.391169 | + | 0.920319i | \(0.627929\pi\) | |||||||
\(54\) | 35.6045 | − | 40.5995i | 0.659342 | − | 0.751843i | ||||
\(55\) | 20.0118i | 0.363851i | ||||||||
\(56\) | −30.4364 | + | 88.7428i | −0.543507 | + | 1.58469i | ||||
\(57\) | −21.1780 | + | 43.2471i | −0.371545 | + | 0.758720i | ||||
\(58\) | −60.8781 | − | 39.4998i | −1.04962 | − | 0.681030i | ||||
\(59\) | −25.5867 | + | 4.51163i | −0.433674 | + | 0.0764684i | −0.386224 | − | 0.922405i | \(-0.626221\pi\) |
−0.0474502 | + | 0.998874i | \(0.515110\pi\) | |||||||
\(60\) | −3.71489 | + | 104.055i | −0.0619149 | + | 1.73424i | ||||
\(61\) | 51.1770 | + | 42.9426i | 0.838967 | + | 0.703977i | 0.957331 | − | 0.288993i | \(-0.0933206\pi\) |
−0.118364 | + | 0.992970i | \(0.537765\pi\) | |||||||
\(62\) | 0.197764 | − | 0.858193i | 0.00318975 | − | 0.0138418i | ||||
\(63\) | 56.2138 | − | 89.3286i | 0.892282 | − | 1.41791i | ||||
\(64\) | 47.4574 | − | 42.9395i | 0.741521 | − | 0.670929i | ||||
\(65\) | 7.09654 | − | 40.2465i | 0.109178 | − | 0.619177i | ||||
\(66\) | −11.8701 | + | 7.11317i | −0.179850 | + | 0.107775i | ||||
\(67\) | −32.3784 | + | 88.9589i | −0.483260 | + | 1.32775i | 0.423423 | + | 0.905932i | \(0.360828\pi\) |
−0.906683 | + | 0.421813i | \(0.861394\pi\) | |||||||
\(68\) | −52.5726 | + | 13.1529i | −0.773126 | + | 0.193425i | ||||
\(69\) | 10.7902 | − | 10.3869i | 0.156379 | − | 0.150535i | ||||
\(70\) | 24.8828 | + | 201.980i | 0.355468 | + | 2.88542i | ||||
\(71\) | 100.208 | − | 57.8552i | 1.41138 | − | 0.814862i | 0.415863 | − | 0.909427i | \(-0.363479\pi\) |
0.995519 | + | 0.0945652i | \(0.0301461\pi\) | |||||||
\(72\) | −63.0410 | + | 34.7826i | −0.875570 | + | 0.483092i | ||||
\(73\) | 22.5335 | − | 39.0292i | 0.308678 | − | 0.534646i | −0.669395 | − | 0.742906i | \(-0.733447\pi\) |
0.978073 | + | 0.208260i | \(0.0667801\pi\) | |||||||
\(74\) | 29.5529 | − | 69.7005i | 0.399364 | − | 0.941899i | ||||
\(75\) | 61.1403 | + | 137.912i | 0.815204 | + | 1.83883i | ||||
\(76\) | 46.1495 | − | 44.6382i | 0.607230 | − | 0.587344i | ||||
\(77\) | −20.7193 | + | 17.3856i | −0.269082 | + | 0.225787i | ||||
\(78\) | 26.3949 | − | 10.0962i | 0.338396 | − | 0.129439i | ||||
\(79\) | 19.8334 | + | 54.4917i | 0.251055 | + | 0.689769i | 0.999643 | + | 0.0267327i | \(0.00851028\pi\) |
−0.748587 | + | 0.663036i | \(0.769267\pi\) | |||||||
\(80\) | 51.7978 | − | 128.803i | 0.647473 | − | 1.61003i | ||||
\(81\) | 78.0024 | − | 21.8318i | 0.962992 | − | 0.269529i | ||||
\(82\) | −1.47025 | − | 4.80203i | −0.0179299 | − | 0.0585614i | ||||
\(83\) | 22.8909 | + | 62.8923i | 0.275794 | + | 0.757738i | 0.997828 | + | 0.0658799i | \(0.0209854\pi\) |
−0.722033 | + | 0.691858i | \(0.756792\pi\) | |||||||
\(84\) | −110.961 | + | 86.5529i | −1.32096 | + | 1.03039i | ||||
\(85\) | −90.0519 | + | 75.5626i | −1.05943 | + | 0.888971i | ||||
\(86\) | −16.2275 | − | 31.8164i | −0.188691 | − | 0.369958i | ||||
\(87\) | −44.1173 | − | 99.5139i | −0.507095 | − | 1.14384i | ||||
\(88\) | 18.1077 | − | 3.54255i | 0.205769 | − | 0.0402563i | ||||
\(89\) | 54.3190 | − | 94.0833i | 0.610326 | − | 1.05712i | −0.380860 | − | 0.924633i | \(-0.624372\pi\) |
0.991185 | − | 0.132482i | \(-0.0422948\pi\) | |||||||
\(90\) | −89.9360 | + | 127.687i | −0.999289 | + | 1.41875i | ||||
\(91\) | 47.8347 | − | 27.6174i | 0.525656 | − | 0.303487i | ||||
\(92\) | −18.2365 | + | 8.13708i | −0.198223 | + | 0.0884465i | ||||
\(93\) | 0.951723 | − | 0.916153i | 0.0102336 | − | 0.00985111i | ||||
\(94\) | 17.5281 | + | 0.911509i | 0.186469 | + | 0.00969691i | ||||
\(95\) | 47.6343 | − | 130.874i | 0.501414 | − | 1.37762i | ||||
\(96\) | 94.8116 | − | 15.0586i | 0.987621 | − | 0.156861i | ||||
\(97\) | 30.2853 | − | 171.757i | 0.312220 | − | 1.77069i | −0.275183 | − | 0.961392i | \(-0.588738\pi\) |
0.587403 | − | 0.809295i | \(-0.300150\pi\) | |||||||
\(98\) | −120.697 | + | 129.536i | −1.23160 | + | 1.32180i | ||||
\(99\) | −20.7423 | − | 0.790274i | −0.209518 | − | 0.00798256i | ||||
\(100\) | −14.1931 | − | 200.642i | −0.141931 | − | 2.00642i | ||||
\(101\) | −57.1968 | − | 47.9938i | −0.566305 | − | 0.475186i | 0.314112 | − | 0.949386i | \(-0.398293\pi\) |
−0.880417 | + | 0.474200i | \(0.842738\pi\) | |||||||
\(102\) | −76.8293 | − | 26.5562i | −0.753228 | − | 0.260355i | ||||
\(103\) | −137.158 | + | 24.1847i | −1.33163 | + | 0.234803i | −0.793764 | − | 0.608226i | \(-0.791881\pi\) |
−0.537868 | + | 0.843029i | \(0.680770\pi\) | |||||||
\(104\) | −37.6734 | + | 0.703246i | −0.362244 | + | 0.00676198i | ||||
\(105\) | −134.252 | + | 274.153i | −1.27859 | + | 2.61098i | ||||
\(106\) | 49.9340 | + | 66.2090i | 0.471075 | + | 0.624613i | ||||
\(107\) | 28.1004i | 0.262621i | 0.991341 | + | 0.131310i | \(0.0419185\pi\) | ||||
−0.991341 | + | 0.131310i | \(0.958082\pi\) | |||||||
\(108\) | −107.706 | − | 7.95966i | −0.997280 | − | 0.0737005i | ||||
\(109\) | 12.7869 | 0.117311 | 0.0586555 | − | 0.998278i | \(-0.481319\pi\) | ||||
0.0586555 | + | 0.998278i | \(0.481319\pi\) | |||||||
\(110\) | 31.9545 | − | 24.0997i | 0.290496 | − | 0.219088i | ||||
\(111\) | 94.2465 | − | 63.3526i | 0.849068 | − | 0.570745i | ||||
\(112\) | 178.357 | − | 58.2703i | 1.59247 | − | 0.520271i | ||||
\(113\) | 36.5416 | + | 207.238i | 0.323377 | + | 1.83396i | 0.520842 | + | 0.853653i | \(0.325618\pi\) |
−0.197465 | + | 0.980310i | \(0.563271\pi\) | |||||||
\(114\) | 94.5604 | − | 18.2646i | 0.829478 | − | 0.160216i | ||||
\(115\) | −27.8440 | + | 33.1832i | −0.242122 | + | 0.288550i | ||||
\(116\) | 10.2414 | + | 144.778i | 0.0882876 | + | 1.24808i | ||||
\(117\) | 41.4354 | + | 8.94495i | 0.354149 | + | 0.0764525i | ||||
\(118\) | 38.0176 | + | 35.4233i | 0.322183 | + | 0.300197i | ||||
\(119\) | −156.468 | − | 27.5896i | −1.31486 | − | 0.231845i | ||||
\(120\) | 170.626 | − | 119.378i | 1.42189 | − | 0.994820i | ||||
\(121\) | −108.704 | − | 39.5651i | −0.898382 | − | 0.326984i | ||||
\(122\) | 6.93891 | − | 133.433i | 0.0568763 | − | 1.09372i | ||||
\(123\) | 2.08790 | − | 7.23798i | 0.0169748 | − | 0.0588453i | ||||
\(124\) | −1.60851 | + | 0.717713i | −0.0129719 | + | 0.00578801i | ||||
\(125\) | −109.699 | − | 190.004i | −0.877590 | − | 1.52003i | ||||
\(126\) | −210.335 | + | 17.8149i | −1.66933 | + | 0.141388i | ||||
\(127\) | −96.5648 | − | 55.7517i | −0.760353 | − | 0.438990i | 0.0690695 | − | 0.997612i | \(-0.477997\pi\) |
−0.829422 | + | 0.558622i | \(0.811330\pi\) | |||||||
\(128\) | −125.717 | − | 24.0683i | −0.982163 | − | 0.188033i | ||||
\(129\) | 5.68453 | − | 53.2712i | 0.0440661 | − | 0.412955i | ||||
\(130\) | −72.8112 | + | 37.1362i | −0.560086 | + | 0.285663i | ||||
\(131\) | 10.1474 | + | 12.0932i | 0.0774612 | + | 0.0923146i | 0.803383 | − | 0.595462i | \(-0.203031\pi\) |
−0.725922 | + | 0.687777i | \(0.758587\pi\) | |||||||
\(132\) | 25.6531 | + | 10.3878i | 0.194342 | + | 0.0786954i | ||||
\(133\) | 176.885 | − | 64.3807i | 1.32996 | − | 0.484066i | ||||
\(134\) | 181.041 | − | 55.4297i | 1.35105 | − | 0.413654i | ||||
\(135\) | −217.629 | + | 86.7244i | −1.61206 | + | 0.642403i | ||||
\(136\) | 84.3142 | + | 68.1074i | 0.619958 | + | 0.500789i | ||||
\(137\) | 99.8901 | − | 36.3570i | 0.729125 | − | 0.265380i | 0.0493306 | − | 0.998783i | \(-0.484291\pi\) |
0.679794 | + | 0.733403i | \(0.262069\pi\) | |||||||
\(138\) | −29.5800 | − | 4.72090i | −0.214348 | − | 0.0342094i | ||||
\(139\) | 36.3183 | + | 43.2824i | 0.261283 | + | 0.311385i | 0.880697 | − | 0.473679i | \(-0.157074\pi\) |
−0.619415 | + | 0.785064i | \(0.712630\pi\) | |||||||
\(140\) | 292.552 | − | 282.971i | 2.08966 | − | 2.02122i | ||||
\(141\) | 21.2749 | + | 15.5088i | 0.150886 | + | 0.109991i | ||||
\(142\) | −213.060 | − | 90.3373i | −1.50043 | − | 0.636178i | ||||
\(143\) | −9.40763 | − | 5.43150i | −0.0657876 | − | 0.0379825i | ||||
\(144\) | 131.459 | + | 58.7751i | 0.912910 | + | 0.408161i | ||||
\(145\) | 157.417 | + | 272.655i | 1.08564 | + | 1.88038i | ||||
\(146\) | −89.4577 | + | 11.0207i | −0.612724 | + | 0.0754842i | ||||
\(147\) | −257.790 | + | 63.8399i | −1.75368 | + | 0.434285i | ||||
\(148\) | −146.887 | + | 36.7490i | −0.992477 | + | 0.248304i | ||||
\(149\) | 110.073 | + | 40.0635i | 0.738748 | + | 0.268882i | 0.683863 | − | 0.729610i | \(-0.260299\pi\) |
0.0548851 | + | 0.998493i | \(0.482521\pi\) | |||||||
\(150\) | 146.586 | − | 263.712i | 0.977242 | − | 1.75808i | ||||
\(151\) | 244.777 | + | 43.1607i | 1.62104 | + | 0.285832i | 0.909152 | − | 0.416464i | \(-0.136731\pi\) |
0.711884 | + | 0.702297i | \(0.247842\pi\) | |||||||
\(152\) | −126.854 | − | 19.9342i | −0.834567 | − | 0.131146i | ||||
\(153\) | −74.7647 | − | 96.3232i | −0.488658 | − | 0.629564i | ||||
\(154\) | 52.7128 | + | 12.1473i | 0.342291 | + | 0.0788785i | ||||
\(155\) | −2.45592 | + | 2.92685i | −0.0158446 | + | 0.0188829i | ||||
\(156\) | −47.9082 | − | 29.9883i | −0.307104 | − | 0.192233i | ||||
\(157\) | 32.2061 | + | 182.650i | 0.205134 | + | 1.16337i | 0.897228 | + | 0.441567i | \(0.145577\pi\) |
−0.692094 | + | 0.721807i | \(0.743312\pi\) | |||||||
\(158\) | 63.1268 | − | 97.2927i | 0.399536 | − | 0.615776i | ||||
\(159\) | 8.48016 | + | 124.102i | 0.0533343 | + | 0.780518i | ||||
\(160\) | −268.049 | + | 72.4039i | −1.67531 | + | 0.452524i | ||||
\(161\) | −58.5464 | −0.363642 | ||||||||
\(162\) | −128.797 | − | 98.2615i | −0.795043 | − | 0.606553i | ||||
\(163\) | − | 3.07052i | − | 0.0188375i | −0.999956 | − | 0.00941877i | \(-0.997002\pi\) | ||
0.999956 | − | 0.00941877i | \(-0.00299813\pi\) | |||||||
\(164\) | −5.89723 | + | 8.13064i | −0.0359587 | + | 0.0495771i | ||||
\(165\) | 59.8957 | − | 4.09279i | 0.363004 | − | 0.0248048i | ||||
\(166\) | 72.8584 | − | 112.291i | 0.438906 | − | 0.676454i | ||||
\(167\) | 90.6052 | − | 15.9761i | 0.542546 | − | 0.0956655i | 0.104343 | − | 0.994541i | \(-0.466726\pi\) |
0.438203 | + | 0.898876i | \(0.355615\pi\) | |||||||
\(168\) | 271.834 | + | 72.9471i | 1.61806 | + | 0.434209i | ||||
\(169\) | −112.468 | − | 94.3715i | −0.665489 | − | 0.558411i | ||||
\(170\) | 229.104 | + | 52.7955i | 1.34767 | + | 0.310562i | ||||
\(171\) | 133.771 | + | 54.5415i | 0.782285 | + | 0.318956i | ||||
\(172\) | −31.2616 | + | 64.2274i | −0.181754 | + | 0.373415i | ||||
\(173\) | −49.4146 | + | 280.244i | −0.285633 | + | 1.61991i | 0.417381 | + | 0.908732i | \(0.362948\pi\) |
−0.703014 | + | 0.711176i | \(0.748163\pi\) | |||||||
\(174\) | −105.773 | + | 190.288i | −0.607890 | + | 1.09361i | ||||
\(175\) | 201.692 | − | 554.144i | 1.15253 | − | 3.16654i | ||||
\(176\) | −27.4633 | − | 24.6479i | −0.156042 | − | 0.140045i | ||||
\(177\) | 18.7364 | + | 75.6590i | 0.105855 | + | 0.427452i | ||||
\(178\) | −215.646 | + | 26.5664i | −1.21149 | + | 0.149249i | ||||
\(179\) | 37.3404 | − | 21.5585i | 0.208606 | − | 0.120438i | −0.392058 | − | 0.919941i | \(-0.628237\pi\) |
0.600663 | + | 0.799502i | \(0.294903\pi\) | |||||||
\(180\) | 312.197 | − | 10.1624i | 1.73443 | − | 0.0564576i | ||||
\(181\) | −52.2292 | + | 90.4636i | −0.288559 | + | 0.499799i | −0.973466 | − | 0.228832i | \(-0.926509\pi\) |
0.684907 | + | 0.728630i | \(0.259843\pi\) | |||||||
\(182\) | −101.705 | − | 43.1228i | −0.558819 | − | 0.236938i | ||||
\(183\) | 118.061 | − | 161.956i | 0.645144 | − | 0.885007i | ||||
\(184\) | 34.9550 | + | 19.3205i | 0.189973 | + | 0.105003i | ||||
\(185\) | −251.603 | + | 211.120i | −1.36002 | + | 1.14119i | ||||
\(186\) | −2.60904 | − | 0.416396i | −0.0140271 | − | 0.00223869i | ||||
\(187\) | 10.6872 | + | 29.3628i | 0.0571508 | + | 0.157021i | ||||
\(188\) | −19.6531 | − | 29.0863i | −0.104538 | − | 0.154714i | ||||
\(189\) | −278.859 | − | 149.980i | −1.47544 | − | 0.793543i | ||||
\(190\) | −266.343 | + | 81.5468i | −1.40180 | + | 0.429194i | ||||
\(191\) | 86.7947 | + | 238.466i | 0.454422 | + | 1.24852i | 0.929582 | + | 0.368616i | \(0.120168\pi\) |
−0.475160 | + | 0.879900i | \(0.657610\pi\) | |||||||
\(192\) | −138.225 | − | 133.259i | −0.719920 | − | 0.694057i | ||||
\(193\) | −0.204011 | + | 0.171186i | −0.00105705 | + | 0.000886973i | −0.643316 | − | 0.765601i | \(-0.722442\pi\) |
0.642259 | + | 0.766488i | \(0.277997\pi\) | |||||||
\(194\) | −310.730 | + | 158.483i | −1.60170 | + | 0.816923i | ||||
\(195\) | −121.910 | − | 13.0089i | −0.625179 | − | 0.0667124i | ||||
\(196\) | 352.193 | + | 36.7294i | 1.79690 | + | 0.187395i | ||||
\(197\) | 25.6282 | − | 44.3894i | 0.130093 | − | 0.225327i | −0.793620 | − | 0.608414i | \(-0.791806\pi\) |
0.923712 | + | 0.383087i | \(0.125139\pi\) | |||||||
\(198\) | 23.7175 | + | 34.0727i | 0.119786 | + | 0.172084i | ||||
\(199\) | −86.0717 | + | 49.6935i | −0.432521 | + | 0.249716i | −0.700420 | − | 0.713731i | \(-0.747004\pi\) |
0.267899 | + | 0.963447i | \(0.413671\pi\) | |||||||
\(200\) | −303.289 | + | 264.291i | −1.51645 | + | 1.32145i | ||||
\(201\) | 272.878 | + | 78.7154i | 1.35760 | + | 0.391619i | ||||
\(202\) | −7.75512 | + | 149.129i | −0.0383917 | + | 0.738261i | ||||
\(203\) | −145.536 | + | 399.856i | −0.716925 | + | 1.96974i | ||||
\(204\) | 50.1191 | + | 154.661i | 0.245682 | + | 0.758141i | ||||
\(205\) | −3.78337 | + | 21.4566i | −0.0184555 | + | 0.104666i | ||||
\(206\) | 203.794 | + | 189.887i | 0.989290 | + | 0.921782i | ||||
\(207\) | −33.2950 | − | 30.1709i | −0.160845 | − | 0.145753i | ||||
\(208\) | 46.4920 | + | 59.3094i | 0.223519 | + | 0.285141i | ||||
\(209\) | −28.3593 | − | 23.7963i | −0.135690 | − | 0.113858i | ||||
\(210\) | 599.440 | − | 115.783i | 2.85448 | − | 0.551349i | ||||
\(211\) | −100.532 | + | 17.7265i | −0.476456 | + | 0.0840120i | −0.406719 | − | 0.913553i | \(-0.633327\pi\) |
−0.0697369 | + | 0.997565i | \(0.522216\pi\) | |||||||
\(212\) | 45.5873 | − | 159.468i | 0.215034 | − | 0.752206i | ||||
\(213\) | −193.656 | − | 288.093i | −0.909184 | − | 1.35255i | ||||
\(214\) | 44.8704 | − | 33.8407i | 0.209675 | − | 0.158134i | ||||
\(215\) | 154.948i | 0.720688i | ||||||||
\(216\) | 116.998 | + | 181.569i | 0.541658 | + | 0.840599i | ||||
\(217\) | −5.16396 | −0.0237970 | ||||||||
\(218\) | −15.3989 | − | 20.4179i | −0.0706373 | − | 0.0936601i | ||||
\(219\) | −121.424 | − | 59.4610i | −0.554446 | − | 0.271512i | ||||
\(220\) | −76.9640 | − | 22.0018i | −0.349837 | − | 0.100008i | ||||
\(221\) | −11.0809 | − | 62.8426i | −0.0501396 | − | 0.284356i | ||||
\(222\) | −214.659 | − | 74.1974i | −0.966934 | − | 0.334222i | ||||
\(223\) | 211.508 | − | 252.065i | 0.948464 | − | 1.13034i | −0.0428842 | − | 0.999080i | \(-0.513655\pi\) |
0.991349 | − | 0.131256i | \(-0.0419009\pi\) | |||||||
\(224\) | −307.836 | − | 214.624i | −1.37427 | − | 0.958143i | ||||
\(225\) | 400.269 | − | 211.200i | 1.77898 | − | 0.938666i | ||||
\(226\) | 286.908 | − | 307.920i | 1.26950 | − | 1.36248i | ||||
\(227\) | 339.879 | + | 59.9299i | 1.49727 | + | 0.264008i | 0.861454 | − | 0.507836i | \(-0.169554\pi\) |
0.635812 | + | 0.771844i | \(0.280665\pi\) | |||||||
\(228\) | −143.041 | − | 128.997i | −0.627374 | − | 0.565777i | ||||
\(229\) | −273.587 | − | 99.5776i | −1.19470 | − | 0.434837i | −0.333331 | − | 0.942810i | \(-0.608173\pi\) |
−0.861373 | + | 0.507973i | \(0.830395\pi\) | |||||||
\(230\) | 86.5183 | + | 4.49920i | 0.376167 | + | 0.0195617i | ||||
\(231\) | 56.2729 | + | 58.4577i | 0.243605 | + | 0.253064i | ||||
\(232\) | 218.846 | − | 190.706i | 0.943300 | − | 0.822007i | ||||
\(233\) | 49.5426 | + | 85.8104i | 0.212629 | + | 0.368285i | 0.952537 | − | 0.304424i | \(-0.0984640\pi\) |
−0.739907 | + | 0.672709i | \(0.765131\pi\) | |||||||
\(234\) | −35.6165 | − | 76.9356i | −0.152207 | − | 0.328785i | ||||
\(235\) | −65.9443 | − | 38.0730i | −0.280614 | − | 0.162013i | ||||
\(236\) | 10.7797 | − | 103.365i | 0.0456768 | − | 0.437989i | ||||
\(237\) | 159.039 | − | 70.5063i | 0.671049 | − | 0.297495i | ||||
\(238\) | 144.376 | + | 283.072i | 0.606623 | + | 1.18938i | ||||
\(239\) | −74.1713 | − | 88.3940i | −0.310340 | − | 0.369849i | 0.588219 | − | 0.808702i | \(-0.299829\pi\) |
−0.898559 | + | 0.438853i | \(0.855385\pi\) | |||||||
\(240\) | −396.103 | − | 128.689i | −1.65043 | − | 0.536206i | ||||
\(241\) | 109.908 | − | 40.0034i | 0.456051 | − | 0.165989i | −0.103772 | − | 0.994601i | \(-0.533091\pi\) |
0.559823 | + | 0.828612i | \(0.310869\pi\) | |||||||
\(242\) | 67.7328 | + | 221.225i | 0.279888 | + | 0.914151i | ||||
\(243\) | −81.2960 | − | 228.998i | −0.334552 | − | 0.942377i | ||||
\(244\) | −221.421 | + | 149.610i | −0.907462 | + | 0.613158i | ||||
\(245\) | 721.792 | − | 262.711i | 2.94609 | − | 1.07229i | ||||
\(246\) | −14.0719 | + | 5.38259i | −0.0572028 | + | 0.0218805i | ||||
\(247\) | 48.5959 | + | 57.9143i | 0.196745 | + | 0.234471i | ||||
\(248\) | 3.08312 | + | 1.70412i | 0.0124319 | + | 0.00687147i | ||||
\(249\) | 183.556 | − | 81.3756i | 0.737173 | − | 0.326810i | ||||
\(250\) | −171.288 | + | 403.982i | −0.685151 | + | 1.61593i | ||||
\(251\) | 127.608 | + | 73.6744i | 0.508397 | + | 0.293523i | 0.732175 | − | 0.681117i | \(-0.238505\pi\) |
−0.223777 | + | 0.974640i | \(0.571839\pi\) | |||||||
\(252\) | 281.748 | + | 314.406i | 1.11805 | + | 1.24764i | ||||
\(253\) | 5.75715 | + | 9.97168i | 0.0227555 | + | 0.0394138i | ||||
\(254\) | 27.2671 | + | 221.334i | 0.107351 | + | 0.871392i | ||||
\(255\) | 244.578 | + | 254.073i | 0.959128 | + | 0.996366i | ||||
\(256\) | 112.966 | + | 229.728i | 0.441272 | + | 0.897373i | ||||
\(257\) | −294.633 | − | 107.238i | −1.14643 | − | 0.417267i | −0.302199 | − | 0.953245i | \(-0.597721\pi\) |
−0.844232 | + | 0.535978i | \(0.819943\pi\) | |||||||
\(258\) | −91.9083 | + | 55.0762i | −0.356234 | + | 0.213473i | ||||
\(259\) | −437.169 | − | 77.0847i | −1.68791 | − | 0.297624i | ||||
\(260\) | 146.983 | + | 71.5416i | 0.565320 | + | 0.275160i | ||||
\(261\) | −288.824 | + | 152.396i | −1.10661 | + | 0.583894i | ||||
\(262\) | 7.08999 | − | 30.7668i | 0.0270610 | − | 0.117430i | ||||
\(263\) | 131.924 | − | 157.221i | 0.501613 | − | 0.597799i | −0.454518 | − | 0.890737i | \(-0.650189\pi\) |
0.956131 | + | 0.292938i | \(0.0946330\pi\) | |||||||
\(264\) | −14.3063 | − | 53.4722i | −0.0541905 | − | 0.202546i | ||||
\(265\) | −62.4737 | − | 354.306i | −0.235750 | − | 1.33700i | ||||
\(266\) | −315.820 | − | 204.915i | −1.18729 | − | 0.770355i | ||||
\(267\) | −292.702 | − | 143.336i | −1.09626 | − | 0.536839i | ||||
\(268\) | −306.532 | − | 222.331i | −1.14378 | − | 0.829592i | ||||
\(269\) | −270.423 | −1.00529 | −0.502645 | − | 0.864493i | \(-0.667640\pi\) | ||||
−0.502645 | + | 0.864493i | \(0.667640\pi\) | |||||||
\(270\) | 400.565 | + | 243.066i | 1.48357 | + | 0.900244i | ||||
\(271\) | 232.697i | 0.858661i | 0.903148 | + | 0.429330i | \(0.141250\pi\) | ||||
−0.903148 | + | 0.429330i | \(0.858750\pi\) | |||||||
\(272\) | 7.21528 | − | 216.652i | 0.0265268 | − | 0.796514i | ||||
\(273\) | −92.4424 | − | 137.522i | −0.338617 | − | 0.503743i | ||||
\(274\) | −178.350 | − | 115.719i | −0.650911 | − | 0.422333i | ||||
\(275\) | −114.216 | + | 20.1393i | −0.415330 | + | 0.0732338i | ||||
\(276\) | 28.0842 | + | 52.9181i | 0.101754 | + | 0.191732i | ||||
\(277\) | −57.6704 | − | 48.3912i | −0.208196 | − | 0.174698i | 0.532727 | − | 0.846287i | \(-0.321167\pi\) |
−0.740923 | + | 0.671590i | \(0.765612\pi\) | |||||||
\(278\) | 25.3756 | − | 110.116i | 0.0912790 | − | 0.396102i | ||||
\(279\) | −2.93671 | − | 2.66116i | −0.0105258 | − | 0.00953819i | ||||
\(280\) | −804.158 | − | 126.368i | −2.87199 | − | 0.451313i | ||||
\(281\) | 24.3783 | − | 138.256i | 0.0867556 | − | 0.492015i | −0.910208 | − | 0.414151i | \(-0.864079\pi\) |
0.996964 | − | 0.0778647i | \(-0.0248102\pi\) | |||||||
\(282\) | −0.856653 | − | 52.6483i | −0.00303778 | − | 0.186696i | ||||
\(283\) | 48.0225 | − | 131.941i | 0.169691 | − | 0.466221i | −0.825474 | − | 0.564440i | \(-0.809092\pi\) |
0.995165 | + | 0.0982185i | \(0.0313144\pi\) | |||||||
\(284\) | 112.334 | + | 449.003i | 0.395543 | + | 1.58099i | ||||
\(285\) | −401.451 | − | 115.804i | −1.40860 | − | 0.406331i | ||||
\(286\) | 2.65644 | + | 21.5630i | 0.00928825 | + | 0.0753950i | ||||
\(287\) | −25.5021 | + | 14.7236i | −0.0888573 | + | 0.0513018i | ||||
\(288\) | −64.4616 | − | 280.693i | −0.223825 | − | 0.974629i | ||||
\(289\) | 52.7226 | − | 91.3183i | 0.182431 | − | 0.315980i | ||||
\(290\) | 245.797 | − | 579.713i | 0.847577 | − | 1.99901i | ||||
\(291\) | −520.265 | − | 55.5171i | −1.78785 | − | 0.190780i | ||||
\(292\) | 125.329 | + | 129.573i | 0.429210 | + | 0.443742i | ||||
\(293\) | 255.034 | − | 213.999i | 0.870422 | − | 0.730371i | −0.0937648 | − | 0.995594i | \(-0.529890\pi\) |
0.964187 | + | 0.265223i | \(0.0854457\pi\) | |||||||
\(294\) | 412.389 | + | 334.755i | 1.40268 | + | 1.13862i | ||||
\(295\) | −77.1031 | − | 211.839i | −0.261366 | − | 0.718098i | ||||
\(296\) | 235.572 | + | 190.290i | 0.795851 | + | 0.642873i | ||||
\(297\) | 1.87689 | + | 62.2438i | 0.00631949 | + | 0.209575i | ||||
\(298\) | −68.5860 | − | 224.011i | −0.230154 | − | 0.751715i | ||||
\(299\) | −8.04230 | − | 22.0960i | −0.0268973 | − | 0.0738997i | ||||
\(300\) | −597.622 | + | 83.5151i | −1.99207 | + | 0.278384i | ||||
\(301\) | −160.426 | + | 134.614i | −0.532978 | + | 0.447221i | ||||
\(302\) | −225.860 | − | 442.833i | −0.747880 | − | 1.46633i | ||||
\(303\) | −131.949 | + | 181.007i | −0.435474 | + | 0.597382i | ||||
\(304\) | 120.937 | + | 226.565i | 0.397818 | + | 0.745280i | ||||
\(305\) | −289.832 | + | 502.005i | −0.950270 | + | 1.64592i | ||||
\(306\) | −63.7702 | + | 235.383i | −0.208399 | + | 0.769225i | ||||
\(307\) | 176.337 | − | 101.808i | 0.574387 | − | 0.331622i | −0.184513 | − | 0.982830i | \(-0.559071\pi\) |
0.758900 | + | 0.651208i | \(0.225737\pi\) | |||||||
\(308\) | −44.0841 | − | 98.7996i | −0.143130 | − | 0.320778i | ||||
\(309\) | 100.437 | + | 405.571i | 0.325038 | + | 1.31253i | ||||
\(310\) | 7.63116 | + | 0.396842i | 0.0246166 | + | 0.00128014i | ||||
\(311\) | 63.2509 | − | 173.780i | 0.203379 | − | 0.558779i | −0.795508 | − | 0.605943i | \(-0.792796\pi\) |
0.998887 | + | 0.0471636i | \(0.0150182\pi\) | |||||||
\(312\) | 9.80974 | + | 112.613i | 0.0314415 | + | 0.360940i | ||||
\(313\) | −19.2606 | + | 109.232i | −0.0615355 | + | 0.348985i | 0.938458 | + | 0.345393i | \(0.112254\pi\) |
−0.999994 | + | 0.00359201i | \(0.998857\pi\) | |||||||
\(314\) | 252.867 | − | 271.387i | 0.805310 | − | 0.864289i | ||||
\(315\) | 848.003 | + | 345.751i | 2.69207 | + | 1.09762i | ||||
\(316\) | −231.377 | + | 16.3673i | −0.732207 | + | 0.0517952i | ||||
\(317\) | 104.031 | + | 87.2920i | 0.328172 | + | 0.275369i | 0.791955 | − | 0.610580i | \(-0.209064\pi\) |
−0.463783 | + | 0.885949i | \(0.653508\pi\) | |||||||
\(318\) | 187.952 | − | 162.994i | 0.591045 | − | 0.512561i | ||||
\(319\) | 82.4151 | − | 14.5320i | 0.258355 | − | 0.0455549i | ||||
\(320\) | 438.418 | + | 340.822i | 1.37006 | + | 1.06507i | ||||
\(321\) | 84.1052 | − | 5.74707i | 0.262010 | − | 0.0179036i | ||||
\(322\) | 70.5060 | + | 93.4860i | 0.218963 | + | 0.290329i | ||||
\(323\) | − | 217.468i | − | 0.673275i | ||||||
\(324\) | −1.79546 | + | 323.995i | −0.00554153 | + | 0.999985i | ||||
\(325\) | 236.845 | 0.728755 | ||||||||
\(326\) | −4.90296 | + | 3.69775i | −0.0150397 | + | 0.0113428i | ||||
\(327\) | −2.61516 | − | 38.2714i | −0.00799743 | − | 0.117038i | ||||
\(328\) | 20.0848 | − | 0.374921i | 0.0612341 | − | 0.00114305i | ||||
\(329\) | −17.8712 | − | 101.352i | −0.0543196 | − | 0.308062i | ||||
\(330\) | −78.6662 | − | 90.7117i | −0.238382 | − | 0.274884i | ||||
\(331\) | −114.419 | + | 136.359i | −0.345677 | + | 0.411962i | −0.910670 | − | 0.413133i | \(-0.864434\pi\) |
0.564993 | + | 0.825095i | \(0.308879\pi\) | |||||||
\(332\) | −267.047 | + | 18.8905i | −0.804358 | + | 0.0568990i | ||||
\(333\) | −208.891 | − | 269.125i | −0.627300 | − | 0.808183i | ||||
\(334\) | −134.624 | − | 125.437i | −0.403066 | − | 0.375561i | ||||
\(335\) | −808.931 | − | 142.636i | −2.41472 | − | 0.425780i | ||||
\(336\) | −210.882 | − | 521.908i | −0.627624 | − | 1.55330i | ||||
\(337\) | 547.261 | + | 199.187i | 1.62392 | + | 0.591059i | 0.984123 | − | 0.177486i | \(-0.0567963\pi\) |
0.639797 | + | 0.768544i | \(0.279019\pi\) | |||||||
\(338\) | −15.2491 | + | 293.236i | −0.0451157 | + | 0.867561i | ||||
\(339\) | 612.794 | − | 151.754i | 1.80765 | − | 0.447652i | ||||
\(340\) | −191.602 | − | 429.411i | −0.563534 | − | 1.26297i | ||||
\(341\) | 0.507797 | + | 0.879530i | 0.00148914 | + | 0.00257927i | ||||
\(342\) | −74.0056 | − | 279.286i | −0.216391 | − | 0.816625i | ||||
\(343\) | 401.424 | + | 231.762i | 1.17033 | + | 0.675692i | ||||
\(344\) | 140.205 | − | 27.4294i | 0.407573 | − | 0.0797366i | ||||
\(345\) | 105.013 | + | 76.5512i | 0.304385 | + | 0.221887i | ||||
\(346\) | 506.998 | − | 258.586i | 1.46531 | − | 0.747359i | ||||
\(347\) | −174.936 | − | 208.480i | −0.504138 | − | 0.600808i | 0.452616 | − | 0.891705i | \(-0.350491\pi\) |
−0.956754 | + | 0.290897i | \(0.906046\pi\) | |||||||
\(348\) | 431.228 | − | 60.2624i | 1.23916 | − | 0.173168i | ||||
\(349\) | 239.597 | − | 87.2061i | 0.686524 | − | 0.249874i | 0.0248779 | − | 0.999690i | \(-0.492080\pi\) |
0.661646 | + | 0.749816i | \(0.269858\pi\) | |||||||
\(350\) | −1127.74 | + | 345.283i | −3.22212 | + | 0.986523i | ||||
\(351\) | 18.2981 | − | 125.846i | 0.0521313 | − | 0.358537i | ||||
\(352\) | −6.28397 | + | 73.5359i | −0.0178522 | + | 0.208909i | ||||
\(353\) | −216.192 | + | 78.6876i | −0.612443 | + | 0.222911i | −0.629572 | − | 0.776942i | \(-0.716770\pi\) |
0.0171289 | + | 0.999853i | \(0.494547\pi\) | |||||||
\(354\) | 98.2473 | − | 121.032i | 0.277535 | − | 0.341899i | ||||
\(355\) | 645.351 | + | 769.100i | 1.81789 | + | 2.16648i | ||||
\(356\) | 302.117 | + | 312.347i | 0.848645 | + | 0.877378i | ||||
\(357\) | −50.5755 | + | 473.955i | −0.141668 | + | 1.32761i | ||||
\(358\) | −79.3924 | − | 33.6622i | −0.221766 | − | 0.0940286i | ||||
\(359\) | 513.681 | + | 296.574i | 1.43087 | + | 0.826112i | 0.997187 | − | 0.0749550i | \(-0.0238813\pi\) |
0.433680 | + | 0.901067i | \(0.357215\pi\) | |||||||
\(360\) | −392.198 | − | 486.273i | −1.08944 | − | 1.35076i | ||||
\(361\) | −51.6768 | − | 89.5068i | −0.143149 | − | 0.247941i | ||||
\(362\) | 207.349 | − | 25.5443i | 0.572788 | − | 0.0705643i | ||||
\(363\) | −96.1871 | + | 333.446i | −0.264978 | + | 0.918584i | ||||
\(364\) | 53.6231 | + | 214.333i | 0.147316 | + | 0.588826i | ||||
\(365\) | 367.452 | + | 133.742i | 1.00672 | + | 0.366415i | ||||
\(366\) | −400.788 | + | 6.52132i | −1.09505 | + | 0.0178178i | ||||
\(367\) | −328.288 | − | 57.8861i | −0.894519 | − | 0.157728i | −0.292553 | − | 0.956249i | \(-0.594505\pi\) |
−0.601966 | + | 0.798522i | \(0.705616\pi\) | |||||||
\(368\) | −11.2447 | − | 79.0828i | −0.0305561 | − | 0.214899i | ||||
\(369\) | −22.0904 | − | 4.76881i | −0.0598657 | − | 0.0129236i | ||||
\(370\) | 640.113 | + | 147.509i | 1.73003 | + | 0.398674i | ||||
\(371\) | 312.558 | − | 372.492i | 0.842473 | − | 1.00402i | ||||
\(372\) | 2.47710 | + | 4.66752i | 0.00665887 | + | 0.0125471i | ||||
\(373\) | 10.8367 | + | 61.4578i | 0.0290527 | + | 0.164766i | 0.995882 | − | 0.0906564i | \(-0.0288965\pi\) |
−0.966829 | + | 0.255423i | \(0.917785\pi\) | |||||||
\(374\) | 34.0158 | − | 52.4261i | 0.0909514 | − | 0.140177i | ||||
\(375\) | −546.250 | + | 367.190i | −1.45667 | + | 0.979174i | ||||
\(376\) | −22.7767 | + | 66.4097i | −0.0605764 | + | 0.176621i | ||||
\(377\) | −170.902 | −0.453320 | ||||||||
\(378\) | 96.3378 | + | 625.895i | 0.254862 | + | 1.65581i | ||||
\(379\) | − | 341.891i | − | 0.902088i | −0.892502 | − | 0.451044i | \(-0.851052\pi\) | ||
0.892502 | − | 0.451044i | \(-0.148948\pi\) | |||||||
\(380\) | 450.963 | + | 327.087i | 1.18674 | + | 0.860756i | ||||
\(381\) | −147.117 | + | 300.423i | −0.386133 | + | 0.788511i | ||||
\(382\) | 276.255 | − | 425.772i | 0.723180 | − | 1.11459i | ||||
\(383\) | −173.175 | + | 30.5355i | −0.452155 | + | 0.0797272i | −0.395088 | − | 0.918643i | \(-0.629286\pi\) |
−0.0570670 | + | 0.998370i | \(0.518175\pi\) | |||||||
\(384\) | −46.3254 | + | 381.195i | −0.120639 | + | 0.992696i | ||||
\(385\) | −179.776 | − | 150.850i | −0.466951 | − | 0.391818i | ||||
\(386\) | 0.519033 | + | 0.119607i | 0.00134464 | + | 0.000309864i | ||||
\(387\) | −160.604 | − | 6.11896i | −0.414998 | − | 0.0158113i | ||||
\(388\) | 627.268 | + | 305.312i | 1.61667 | + | 0.786887i | ||||
\(389\) | 18.0397 | − | 102.308i | 0.0463746 | − | 0.263003i | −0.952801 | − | 0.303595i | \(-0.901813\pi\) |
0.999176 | + | 0.0405915i | \(0.0129242\pi\) | |||||||
\(390\) | 126.041 | + | 210.330i | 0.323181 | + | 0.539308i | ||||
\(391\) | −23.1336 | + | 63.5590i | −0.0591651 | + | 0.162555i | ||||
\(392\) | −365.488 | − | 606.609i | −0.932368 | − | 1.54747i | ||||
\(393\) | 34.1199 | − | 32.8447i | 0.0868191 | − | 0.0835743i | ||||
\(394\) | −101.744 | + | 12.5343i | −0.258233 | + | 0.0318129i | ||||
\(395\) | −435.744 | + | 251.577i | −1.10315 | + | 0.636904i | ||||
\(396\) | 25.8443 | − | 78.9047i | 0.0652635 | − | 0.199254i | ||||
\(397\) | −309.052 | + | 535.294i | −0.778469 | + | 1.34835i | 0.154354 | + | 0.988016i | \(0.450670\pi\) |
−0.932824 | + | 0.360333i | \(0.882663\pi\) | |||||||
\(398\) | 183.004 | + | 77.5933i | 0.459809 | + | 0.194958i | ||||
\(399\) | −228.869 | − | 516.252i | −0.573607 | − | 1.29386i | ||||
\(400\) | 787.259 | + | 166.008i | 1.96815 | + | 0.415021i | ||||
\(401\) | −157.870 | + | 132.468i | −0.393690 | + | 0.330345i | −0.818048 | − | 0.575149i | \(-0.804944\pi\) |
0.424359 | + | 0.905494i | \(0.360500\pi\) | |||||||
\(402\) | −202.928 | − | 530.522i | −0.504797 | − | 1.31971i | ||||
\(403\) | −0.709353 | − | 1.94893i | −0.00176018 | − | 0.00483606i | ||||
\(404\) | 247.466 | − | 167.209i | 0.612539 | − | 0.413883i | ||||
\(405\) | 304.077 | + | 633.630i | 0.750808 | + | 1.56452i | ||||
\(406\) | 813.749 | − | 249.148i | 2.00431 | − | 0.613664i | ||||
\(407\) | 29.8598 | + | 82.0391i | 0.0733656 | + | 0.201570i | ||||
\(408\) | 186.603 | − | 266.283i | 0.457360 | − | 0.652656i | ||||
\(409\) | −197.638 | + | 165.838i | −0.483222 | + | 0.405472i | −0.851590 | − | 0.524208i | \(-0.824361\pi\) |
0.368368 | + | 0.929680i | \(0.379917\pi\) | |||||||
\(410\) | 38.8177 | − | 19.7984i | 0.0946774 | − | 0.0482887i | ||||
\(411\) | −129.247 | − | 291.538i | −0.314469 | − | 0.709337i | ||||
\(412\) | 57.7849 | − | 554.091i | 0.140255 | − | 1.34488i | ||||
\(413\) | 152.344 | − | 263.868i | 0.368872 | − | 0.638905i | ||||
\(414\) | −8.08009 | + | 89.4990i | −0.0195171 | + | 0.216181i | ||||
\(415\) | −502.919 | + | 290.361i | −1.21185 | + | 0.699664i | ||||
\(416\) | 38.7151 | − | 145.663i | 0.0930652 | − | 0.350150i | ||||
\(417\) | 122.117 | − | 117.553i | 0.292848 | − | 0.281903i | ||||
\(418\) | −3.84514 | + | 73.9410i | −0.00919890 | + | 0.176892i | ||||
\(419\) | 41.7733 | − | 114.771i | 0.0996975 | − | 0.273917i | −0.879810 | − | 0.475326i | \(-0.842330\pi\) |
0.979507 | + | 0.201410i | \(0.0645522\pi\) | |||||||
\(420\) | −906.772 | − | 817.742i | −2.15898 | − | 1.94700i | ||||
\(421\) | −19.2591 | + | 109.224i | −0.0457461 | + | 0.259439i | −0.999100 | − | 0.0424156i | \(-0.986495\pi\) |
0.953354 | + | 0.301855i | \(0.0976058\pi\) | |||||||
\(422\) | 149.374 | + | 139.181i | 0.353966 | + | 0.329812i | ||||
\(423\) | 42.0670 | − | 66.8481i | 0.0994491 | − | 0.158033i | ||||
\(424\) | −309.535 | + | 119.250i | −0.730036 | + | 0.281250i | ||||
\(425\) | −521.893 | − | 437.920i | −1.22798 | − | 1.03040i | ||||
\(426\) | −226.806 | + | 656.170i | −0.532409 | + | 1.54030i | ||||
\(427\) | −771.550 | + | 136.045i | −1.80691 | + | 0.318607i | ||||
\(428\) | −108.072 | − | 30.8949i | −0.252506 | − | 0.0721842i | ||||
\(429\) | −14.3325 | + | 29.2681i | −0.0334092 | + | 0.0682239i | ||||
\(430\) | 247.419 | − | 186.600i | 0.575392 | − | 0.433953i | ||||
\(431\) | − | 697.944i | − | 1.61936i | −0.586872 | − | 0.809679i | \(-0.699641\pi\) | ||
0.586872 | − | 0.809679i | \(-0.300359\pi\) | |||||||
\(432\) | 149.029 | − | 405.480i | 0.344975 | − | 0.938612i | ||||
\(433\) | −599.940 | −1.38554 | −0.692772 | − | 0.721157i | \(-0.743611\pi\) | ||||
−0.692772 | + | 0.721157i | \(0.743611\pi\) | |||||||
\(434\) | 6.21882 | + | 8.24573i | 0.0143291 | + | 0.0189994i | ||||
\(435\) | 783.866 | − | 526.916i | 1.80199 | − | 1.21130i | ||||
\(436\) | −14.0585 | + | 49.1776i | −0.0322442 | + | 0.112793i | ||||
\(437\) | −13.9152 | − | 78.9172i | −0.0318426 | − | 0.180589i | ||||
\(438\) | 51.2810 | + | 265.495i | 0.117080 | + | 0.606153i | ||||
\(439\) | −501.455 | + | 597.611i | −1.14227 | + | 1.36130i | −0.219652 | + | 0.975578i | \(0.570492\pi\) |
−0.922615 | + | 0.385722i | \(0.873952\pi\) | |||||||
\(440\) | 57.5537 | + | 149.391i | 0.130804 | + | 0.339526i | ||||
\(441\) | 243.797 | + | 758.515i | 0.552828 | + | 1.71999i | ||||
\(442\) | −87.0018 | + | 93.3735i | −0.196837 | + | 0.211252i | ||||
\(443\) | 682.883 | + | 120.411i | 1.54150 | + | 0.271807i | 0.878840 | − | 0.477117i | \(-0.158318\pi\) |
0.662656 | + | 0.748924i | \(0.269429\pi\) | |||||||
\(444\) | 140.032 | + | 432.119i | 0.315386 | + | 0.973240i | ||||
\(445\) | 885.776 | + | 322.396i | 1.99051 | + | 0.724485i | ||||
\(446\) | −657.207 | − | 34.1766i | −1.47356 | − | 0.0766292i | ||||
\(447\) | 97.3987 | − | 337.646i | 0.217894 | − | 0.755360i | ||||
\(448\) | 28.0107 | + | 750.014i | 0.0625238 | + | 1.67414i | ||||
\(449\) | −263.993 | − | 457.250i | −0.587959 | − | 1.01837i | −0.994499 | − | 0.104742i | \(-0.966598\pi\) |
0.406541 | − | 0.913633i | \(-0.366735\pi\) | |||||||
\(450\) | −819.275 | − | 384.802i | −1.82061 | − | 0.855114i | ||||
\(451\) | 5.01548 | + | 2.89569i | 0.0111208 | + | 0.00642060i | ||||
\(452\) | −837.199 | − | 87.3096i | −1.85221 | − | 0.193163i | ||||
\(453\) | 79.1195 | − | 741.448i | 0.174657 | − | 1.63675i | ||||
\(454\) | −313.613 | − | 614.886i | −0.690778 | − | 1.35438i | ||||
\(455\) | 308.060 | + | 367.132i | 0.677056 | + | 0.806884i | ||||
\(456\) | −33.7195 | + | 383.754i | −0.0739462 | + | 0.841566i | ||||
\(457\) | 125.330 | − | 45.6162i | 0.274244 | − | 0.0998167i | −0.201237 | − | 0.979543i | \(-0.564496\pi\) |
0.475481 | + | 0.879726i | \(0.342274\pi\) | |||||||
\(458\) | 170.470 | + | 556.779i | 0.372206 | + | 1.21567i | ||||
\(459\) | −273.007 | + | 243.472i | −0.594786 | + | 0.530441i | ||||
\(460\) | −97.0076 | − | 143.569i | −0.210886 | − | 0.312107i | ||||
\(461\) | −497.956 | + | 181.241i | −1.08017 | + | 0.393148i | −0.819969 | − | 0.572408i | \(-0.806009\pi\) |
−0.260196 | + | 0.965556i | \(0.583787\pi\) | |||||||
\(462\) | 25.5763 | − | 160.255i | 0.0553600 | − | 0.346872i | ||||
\(463\) | −314.968 | − | 375.364i | −0.680277 | − | 0.810722i | 0.309867 | − | 0.950780i | \(-0.399716\pi\) |
−0.990143 | + | 0.140058i | \(0.955271\pi\) | |||||||
\(464\) | −568.066 | − | 119.787i | −1.22428 | − | 0.258163i | ||||
\(465\) | 9.26241 | + | 6.75202i | 0.0199192 | + | 0.0145205i | ||||
\(466\) | 77.3577 | − | 182.448i | 0.166004 | − | 0.391520i | ||||
\(467\) | −168.249 | − | 97.1384i | −0.360276 | − | 0.208005i | 0.308926 | − | 0.951086i | \(-0.400030\pi\) |
−0.669202 | + | 0.743081i | \(0.733364\pi\) | |||||||
\(468\) | −79.9576 | + | 149.523i | −0.170850 | + | 0.319495i | ||||
\(469\) | −555.093 | − | 961.449i | −1.18357 | − | 2.05000i | ||||
\(470\) | 18.6207 | + | 151.149i | 0.0396186 | + | 0.321594i | ||||
\(471\) | 540.088 | − | 133.749i | 1.14668 | − | 0.283968i | ||||
\(472\) | −178.034 | + | 107.267i | −0.377190 | + | 0.227261i | ||||
\(473\) | 38.7030 | + | 14.0867i | 0.0818246 | + | 0.0297817i | ||||
\(474\) | −304.110 | − | 169.042i | −0.641581 | − | 0.356628i | ||||
\(475\) | 794.892 | + | 140.161i | 1.67346 | + | 0.295076i | ||||
\(476\) | 278.136 | − | 571.434i | 0.584319 | − | 1.20049i | ||||
\(477\) | 369.707 | − | 50.7626i | 0.775067 | − | 0.106420i | ||||
\(478\) | −51.8235 | + | 224.886i | −0.108417 | + | 0.470473i | ||||
\(479\) | 13.8081 | − | 16.4559i | 0.0288270 | − | 0.0343547i | −0.751438 | − | 0.659803i | \(-0.770640\pi\) |
0.780265 | + | 0.625449i | \(0.215084\pi\) | |||||||
\(480\) | 271.527 | + | 787.468i | 0.565682 | + | 1.64056i | ||||
\(481\) | −30.9596 | − | 175.581i | −0.0643652 | − | 0.365033i | ||||
\(482\) | −196.237 | − | 127.325i | −0.407130 | − | 0.264160i | ||||
\(483\) | 11.9738 | + | 175.231i | 0.0247906 | + | 0.362796i | ||||
\(484\) | 271.679 | − | 374.570i | 0.561320 | − | 0.773905i | ||||
\(485\) | 1513.28 | 3.12016 | ||||||||
\(486\) | −267.757 | + | 405.588i | −0.550941 | + | 0.834544i | ||||
\(487\) | 669.554i | 1.37485i | 0.726254 | + | 0.687427i | \(0.241260\pi\) | ||||
−0.726254 | + | 0.687427i | \(0.758740\pi\) | |||||||
\(488\) | 505.547 | + | 173.389i | 1.03596 | + | 0.355305i | ||||
\(489\) | −9.19012 | + | 0.627979i | −0.0187937 | + | 0.00128421i | ||||
\(490\) | −1288.73 | − | 836.170i | −2.63006 | − | 1.70647i | ||||
\(491\) | −571.962 | + | 100.852i | −1.16489 | + | 0.205402i | −0.722468 | − | 0.691404i | \(-0.756993\pi\) |
−0.442424 | + | 0.896806i | \(0.645881\pi\) | |||||||
\(492\) | 25.5413 | + | 15.9877i | 0.0519131 | + | 0.0324952i | ||||
\(493\) | 376.585 | + | 315.992i | 0.763864 | + | 0.640958i | ||||
\(494\) | 33.9539 | − | 147.342i | 0.0687326 | − | 0.298263i | ||||
\(495\) | −24.4996 | − | 178.432i | −0.0494941 | − | 0.360469i | ||||
\(496\) | −0.991809 | − | 6.97532i | −0.00199962 | − | 0.0140631i | ||||
\(497\) | −235.632 | + | 1336.34i | −0.474109 | + | 2.68881i | ||||
\(498\) | −350.991 | − | 195.101i | −0.704802 | − | 0.391769i | ||||
\(499\) | 164.520 | − | 452.016i | 0.329700 | − | 0.905844i | −0.658487 | − | 0.752592i | \(-0.728803\pi\) |
0.988187 | − | 0.153252i | \(-0.0489746\pi\) | |||||||
\(500\) | 851.350 | − | 212.996i | 1.70270 | − | 0.425992i | ||||
\(501\) | −66.3474 | − | 267.916i | −0.132430 | − | 0.534762i | ||||
\(502\) | −36.0327 | − | 292.486i | −0.0717783 | − | 0.582642i | ||||
\(503\) | −373.012 | + | 215.359i | −0.741575 | + | 0.428148i | −0.822642 | − | 0.568560i | \(-0.807501\pi\) |
0.0810668 | + | 0.996709i | \(0.474167\pi\) | |||||||
\(504\) | 162.737 | − | 828.523i | 0.322891 | − | 1.64389i | ||||
\(505\) | 323.925 | − | 561.054i | 0.641435 | − | 1.11100i | ||||
\(506\) | 8.98943 | − | 21.2016i | 0.0177657 | − | 0.0419003i | ||||
\(507\) | −259.454 | + | 355.918i | −0.511744 | + | 0.702009i | ||||
\(508\) | 320.585 | − | 310.086i | 0.631073 | − | 0.610406i | ||||
\(509\) | 444.761 | − | 373.199i | 0.873793 | − | 0.733200i | −0.0911001 | − | 0.995842i | \(-0.529038\pi\) |
0.964893 | + | 0.262642i | \(0.0845939\pi\) | |||||||
\(510\) | 111.162 | − | 696.512i | 0.217964 | − | 1.36571i | ||||
\(511\) | 180.760 | + | 496.634i | 0.353738 | + | 0.971887i | ||||
\(512\) | 230.784 | − | 457.037i | 0.450749 | − | 0.892651i | ||||
\(513\) | 135.885 | − | 411.533i | 0.264883 | − | 0.802209i | ||||
\(514\) | 183.584 | + | 599.609i | 0.357167 | + | 1.16655i | ||||
\(515\) | −413.312 | − | 1135.57i | −0.802548 | − | 2.20498i | ||||
\(516\) | 198.628 | + | 80.4310i | 0.384937 | + | 0.155874i | ||||
\(517\) | −15.5051 | + | 13.0103i | −0.0299905 | + | 0.0251650i | ||||
\(518\) | 403.384 | + | 790.896i | 0.778733 | + | 1.52683i | ||||
\(519\) | 848.882 | + | 90.5836i | 1.63561 | + | 0.174535i | ||||
\(520\) | −62.7716 | − | 320.856i | −0.120715 | − | 0.617031i | ||||
\(521\) | 193.570 | − | 335.273i | 0.371535 | − | 0.643517i | −0.618267 | − | 0.785968i | \(-0.712165\pi\) |
0.989802 | + | 0.142451i | \(0.0454983\pi\) | |||||||
\(522\) | 591.168 | + | 277.663i | 1.13251 | + | 0.531921i | ||||
\(523\) | −142.838 | + | 82.4674i | −0.273112 | + | 0.157681i | −0.630301 | − | 0.776351i | \(-0.717069\pi\) |
0.357189 | + | 0.934032i | \(0.383735\pi\) | |||||||
\(524\) | −57.6662 | + | 25.7305i | −0.110050 | + | 0.0491040i | ||||
\(525\) | −1699.81 | − | 490.335i | −3.23774 | − | 0.933972i | ||||
\(526\) | −409.921 | − | 21.3171i | −0.779318 | − | 0.0405268i | ||||
\(527\) | −2.04045 | + | 5.60608i | −0.00387181 | + | 0.0106377i | ||||
\(528\) | −68.1549 | + | 87.2393i | −0.129081 | + | 0.165226i | ||||
\(529\) | 87.5319 | − | 496.418i | 0.165467 | − | 0.938408i | ||||
\(530\) | −490.515 | + | 526.439i | −0.925500 | + | 0.993281i | ||||
\(531\) | 222.617 | − | 71.5521i | 0.419241 | − | 0.134750i | ||||
\(532\) | 53.1295 | + | 751.070i | 0.0998675 | + | 1.41179i | ||||
\(533\) | −9.05997 | − | 7.60221i | −0.0169981 | − | 0.0142631i | ||||
\(534\) | 123.617 | + | 639.999i | 0.231493 | + | 1.19850i | ||||
\(535\) | −240.116 | + | 42.3389i | −0.448815 | + | 0.0791382i | ||||
\(536\) | 14.1348 | + | 757.213i | 0.0263710 | + | 1.41271i | ||||
\(537\) | −72.1618 | − | 107.351i | −0.134380 | − | 0.199910i | ||||
\(538\) | 325.664 | + | 431.807i | 0.605323 | + | 0.802616i | ||||
\(539\) | − | 204.173i | − | 0.378800i | ||||||
\(540\) | −94.2664 | − | 932.334i | −0.174567 | − | 1.72654i | ||||
\(541\) | 543.641 | 1.00488 | 0.502441 | − | 0.864612i | \(-0.332436\pi\) | ||||
0.502441 | + | 0.864612i | \(0.332436\pi\) | |||||||
\(542\) | 371.567 | − | 280.231i | 0.685548 | − | 0.517032i | ||||
\(543\) | 281.441 | + | 137.821i | 0.518308 | + | 0.253815i | ||||
\(544\) | −354.635 | + | 249.387i | −0.651903 | + | 0.458432i | ||||
\(545\) | 19.2660 | + | 109.263i | 0.0353504 | + | 0.200482i | ||||
\(546\) | −108.267 | + | 313.225i | −0.198291 | + | 0.573672i | ||||
\(547\) | 557.244 | − | 664.097i | 1.01873 | − | 1.21407i | 0.0421038 | − | 0.999113i | \(-0.486594\pi\) |
0.976623 | − | 0.214958i | \(-0.0689616\pi\) | |||||||
\(548\) | 30.0033 | + | 424.144i | 0.0547505 | + | 0.773985i | ||||
\(549\) | −508.884 | − | 320.237i | −0.926930 | − | 0.583310i | ||||
\(550\) | 169.705 | + | 158.125i | 0.308555 | + | 0.287499i | ||||
\(551\) | −573.574 | − | 101.137i | −1.04097 | − | 0.183551i | ||||
\(552\) | 50.6778 | − | 108.572i | 0.0918076 | − | 0.196689i | ||||
\(553\) | −639.032 | − | 232.589i | −1.15557 | − | 0.420594i | ||||
\(554\) | −7.81934 | + | 150.364i | −0.0141143 | + | 0.271414i | ||||
\(555\) | 683.344 | + | 709.875i | 1.23125 | + | 1.27905i | ||||
\(556\) | −206.391 | + | 92.0912i | −0.371208 | + | 0.165632i | ||||
\(557\) | 251.191 | + | 435.076i | 0.450972 | + | 0.781106i | 0.998447 | − | 0.0557163i | \(-0.0177442\pi\) |
−0.547475 | + | 0.836822i | \(0.684411\pi\) | |||||||
\(558\) | −0.712686 | + | 7.89406i | −0.00127722 | + | 0.0141471i | ||||
\(559\) | −72.8417 | − | 42.0552i | −0.130307 | − | 0.0752329i | ||||
\(560\) | 766.645 | + | 1436.25i | 1.36901 | + | 2.56473i | ||||
\(561\) | 85.6979 | − | 37.9923i | 0.152759 | − | 0.0677224i | ||||
\(562\) | −250.124 | + | 127.572i | −0.445060 | + | 0.226996i | ||||
\(563\) | 34.7389 | + | 41.4002i | 0.0617032 | + | 0.0735351i | 0.796013 | − | 0.605279i | \(-0.206939\pi\) |
−0.734310 | + | 0.678814i | \(0.762494\pi\) | |||||||
\(564\) | −83.0363 | + | 64.7709i | −0.147228 | + | 0.114842i | ||||
\(565\) | −1715.77 | + | 624.490i | −3.03677 | + | 1.10529i | ||||
\(566\) | −268.513 | + | 82.2113i | −0.474405 | + | 0.145250i | ||||
\(567\) | −391.860 | + | 865.305i | −0.691112 | + | 1.52611i | ||||
\(568\) | 581.679 | − | 720.096i | 1.02408 | − | 1.26777i | ||||
\(569\) | 216.377 | − | 78.7548i | 0.380276 | − | 0.138409i | −0.144808 | − | 0.989460i | \(-0.546256\pi\) |
0.525083 | + | 0.851051i | \(0.324034\pi\) | |||||||
\(570\) | 298.543 | + | 780.492i | 0.523760 | + | 1.36928i | ||||
\(571\) | 305.971 | + | 364.642i | 0.535850 | + | 0.638602i | 0.964252 | − | 0.264987i | \(-0.0853676\pi\) |
−0.428402 | + | 0.903588i | \(0.640923\pi\) | |||||||
\(572\) | 31.2323 | − | 30.2095i | 0.0546020 | − | 0.0528138i | ||||
\(573\) | 695.984 | − | 308.549i | 1.21463 | − | 0.538480i | ||||
\(574\) | 54.2219 | + | 22.9900i | 0.0944633 | + | 0.0400523i | ||||
\(575\) | −217.412 | − | 125.523i | −0.378108 | − | 0.218301i | ||||
\(576\) | −370.577 | + | 440.963i | −0.643363 | + | 0.765561i | ||||
\(577\) | −146.058 | − | 252.980i | −0.253133 | − | 0.438440i | 0.711253 | − | 0.702936i | \(-0.248128\pi\) |
−0.964387 | + | 0.264496i | \(0.914795\pi\) | |||||||
\(578\) | −209.308 | + | 25.7856i | −0.362125 | + | 0.0446118i | ||||
\(579\) | 0.554087 | + | 0.575600i | 0.000956972 | + | 0.000994127i | ||||
\(580\) | −1221.68 | + | 305.648i | −2.10635 | + | 0.526980i | ||||
\(581\) | −737.546 | − | 268.445i | −1.26944 | − | 0.462039i | ||||
\(582\) | 537.893 | + | 897.609i | 0.924215 | + | 1.54228i | ||||
\(583\) | −94.1784 | − | 16.6062i | −0.161541 | − | 0.0284840i | ||||
\(584\) | 55.9688 | − | 356.165i | 0.0958370 | − | 0.609872i | ||||
\(585\) | −14.0031 | + | 367.539i | −0.0239369 | + | 0.628273i | ||||
\(586\) | −648.841 | − | 149.521i | −1.10724 | − | 0.255155i | ||||
\(587\) | −536.993 | + | 639.963i | −0.914809 | + | 1.09023i | 0.0808107 | + | 0.996729i | \(0.474249\pi\) |
−0.995620 | + | 0.0934972i | \(0.970195\pi\) | |||||||
\(588\) | 37.9018 | − | 1061.63i | 0.0644588 | − | 1.80550i | ||||
\(589\) | −1.22736 | − | 6.96072i | −0.00208381 | − | 0.0118179i | ||||
\(590\) | −245.408 | + | 378.229i | −0.415946 | + | 0.641067i | ||||
\(591\) | −138.100 | − | 67.6274i | −0.233672 | − | 0.114429i | ||||
\(592\) | 20.1593 | − | 605.320i | 0.0340529 | − | 1.02250i | ||||
\(593\) | −253.977 | −0.428292 | −0.214146 | − | 0.976802i | \(-0.568697\pi\) | ||||
−0.214146 | + | 0.976802i | \(0.568697\pi\) | |||||||
\(594\) | 97.1296 | − | 77.9556i | 0.163518 | − | 0.131238i | ||||
\(595\) | − | 1378.58i | − | 2.31694i | ||||||
\(596\) | −275.101 | + | 379.288i | −0.461579 | + | 0.636389i | ||||
\(597\) | 166.337 | + | 247.451i | 0.278621 | + | 0.414491i | ||||
\(598\) | −25.5975 | + | 39.4515i | −0.0428051 | + | 0.0659724i | ||||
\(599\) | 1092.94 | − | 192.715i | 1.82460 | − | 0.321727i | 0.846907 | − | 0.531742i | \(-0.178462\pi\) |
0.977698 | + | 0.210015i | \(0.0673512\pi\) | |||||||
\(600\) | 853.056 | + | 853.698i | 1.42176 | + | 1.42283i | ||||
\(601\) | 303.355 | + | 254.545i | 0.504750 | + | 0.423536i | 0.859277 | − | 0.511510i | \(-0.170914\pi\) |
−0.354527 | + | 0.935046i | \(0.615358\pi\) | |||||||
\(602\) | 408.146 | + | 94.0544i | 0.677984 | + | 0.156237i | ||||
\(603\) | 179.788 | − | 832.828i | 0.298156 | − | 1.38114i | ||||
\(604\) | −435.111 | + | 893.942i | −0.720383 | + | 1.48004i | ||||
\(605\) | 174.296 | − | 988.481i | 0.288092 | − | 1.63385i | ||||
\(606\) | 447.931 | − | 7.28840i | 0.739161 | − | 0.0120271i | ||||
\(607\) | 185.277 | − | 509.044i | 0.305234 | − | 0.838622i | −0.688335 | − | 0.725393i | \(-0.741658\pi\) |
0.993569 | − | 0.113230i | \(-0.0361195\pi\) | |||||||
\(608\) | 216.135 | − | 465.957i | 0.355485 | − | 0.766376i | ||||
\(609\) | 1226.54 | + | 353.813i | 2.01403 | + | 0.580974i | ||||
\(610\) | 1150.63 | − | 141.751i | 1.88628 | − | 0.232379i | ||||
\(611\) | 35.7965 | − | 20.6671i | 0.0585868 | − | 0.0338251i | ||||
\(612\) | 452.653 | − | 181.638i | 0.739629 | − | 0.296795i | ||||
\(613\) | −343.368 | + | 594.730i | −0.560143 | + | 0.970196i | 0.437341 | + | 0.899296i | \(0.355920\pi\) |
−0.997483 | + | 0.0709000i | \(0.977413\pi\) | |||||||
\(614\) | −374.924 | − | 158.967i | −0.610625 | − | 0.258904i | ||||
\(615\) | 64.9937 | + | 6.93544i | 0.105681 | + | 0.0112771i | ||||
\(616\) | −104.672 | + | 189.375i | −0.169923 | + | 0.307426i | ||||
\(617\) | 657.785 | − | 551.947i | 1.06610 | − | 0.894566i | 0.0714083 | − | 0.997447i | \(-0.477251\pi\) |
0.994694 | + | 0.102881i | \(0.0328062\pi\) | |||||||
\(618\) | 526.656 | − | 648.795i | 0.852194 | − | 1.04983i | ||||
\(619\) | −80.2415 | − | 220.462i | −0.129631 | − | 0.356158i | 0.857849 | − | 0.513901i | \(-0.171800\pi\) |
−0.987480 | + | 0.157743i | \(0.949578\pi\) | |||||||
\(620\) | −8.55634 | − | 12.6632i | −0.0138005 | − | 0.0204246i | ||||
\(621\) | −83.4926 | + | 105.823i | −0.134449 | + | 0.170408i | ||||
\(622\) | −353.661 | + | 108.281i | −0.568587 | + | 0.174086i | ||||
\(623\) | 435.738 | + | 1197.18i | 0.699419 | + | 1.92164i | ||||
\(624\) | 168.006 | − | 151.281i | 0.269240 | − | 0.242438i | ||||
\(625\) | 495.256 | − | 415.569i | 0.792410 | − | 0.664911i | ||||
\(626\) | 197.616 | − | 100.791i | 0.315680 | − | 0.161008i | ||||
\(627\) | −65.4227 | + | 89.7468i | −0.104342 | + | 0.143137i | ||||
\(628\) | −737.868 | − | 76.9506i | −1.17495 | − | 0.122533i | ||||
\(629\) | −256.424 | + | 444.139i | −0.407669 | + | 0.706104i | ||||
\(630\) | −469.139 | − | 1770.46i | −0.744664 | − | 2.81025i | ||||
\(631\) | 124.225 | − | 71.7213i | 0.196870 | − | 0.113663i | −0.398325 | − | 0.917244i | \(-0.630408\pi\) |
0.595195 | + | 0.803582i | \(0.297075\pi\) | |||||||
\(632\) | 304.777 | + | 349.749i | 0.482242 | + | 0.553401i | ||||
\(633\) | 73.6166 | + | 297.269i | 0.116298 | + | 0.469620i | ||||
\(634\) | 14.1051 | − | 271.238i | 0.0222479 | − | 0.427820i | ||||
\(635\) | 330.900 | − | 909.139i | 0.521102 | − | 1.43172i | ||||
\(636\) | −486.613 | − | 103.829i | −0.765115 | − | 0.163254i | ||||
\(637\) | −72.4036 | + | 410.621i | −0.113663 | + | 0.644617i | ||||
\(638\) | −122.455 | − | 114.099i | −0.191936 | − | 0.178838i | ||||
\(639\) | −822.660 | + | 638.537i | −1.28742 | + | 0.999276i | ||||
\(640\) | 16.2440 | − | 1110.50i | 0.0253812 | − | 1.73516i | ||||
\(641\) | 334.138 | + | 280.375i | 0.521276 | + | 0.437403i | 0.865076 | − | 0.501640i | \(-0.167270\pi\) |
−0.343800 | + | 0.939043i | \(0.611714\pi\) | |||||||
\(642\) | −110.463 | − | 127.377i | −0.172060 | − | 0.198406i | ||||
\(643\) | −1138.09 | + | 200.676i | −1.76997 | + | 0.312094i | −0.961164 | − | 0.275978i | \(-0.910998\pi\) |
−0.808809 | + | 0.588072i | \(0.799887\pi\) | |||||||
\(644\) | 64.3685 | − | 225.166i | 0.0999511 | − | 0.349636i | ||||
\(645\) | 463.762 | − | 31.6898i | 0.719012 | − | 0.0491314i | ||||
\(646\) | −347.249 | + | 261.891i | −0.537537 | + | 0.405404i | ||||
\(647\) | 935.380i | 1.44572i | 0.690995 | + | 0.722859i | \(0.257173\pi\) | ||||
−0.690995 | + | 0.722859i | \(0.742827\pi\) | |||||||
\(648\) | 519.513 | − | 387.312i | 0.801717 | − | 0.597704i | ||||
\(649\) | −59.9229 | −0.0923312 | ||||||||
\(650\) | −285.227 | − | 378.191i | −0.438811 | − | 0.581832i | ||||
\(651\) | 1.05613 | + | 15.4558i | 0.00162231 | + | 0.0237417i | ||||
\(652\) | 11.8090 | + | 3.37586i | 0.0181120 | + | 0.00517770i | ||||
\(653\) | −140.779 | − | 798.399i | −0.215588 | − | 1.22266i | −0.879882 | − | 0.475191i | \(-0.842379\pi\) |
0.664294 | − | 0.747471i | \(-0.268732\pi\) | |||||||
\(654\) | −57.9619 | + | 50.2652i | −0.0886267 | + | 0.0768580i | ||||
\(655\) | −88.0464 | + | 104.930i | −0.134422 | + | 0.160198i | ||||
\(656\) | −24.7863 | − | 31.6195i | −0.0377839 | − | 0.0482005i | ||||
\(657\) | −153.135 | + | 375.584i | −0.233082 | + | 0.571666i | ||||
\(658\) | −140.316 | + | 150.593i | −0.213246 | + | 0.228864i | ||||
\(659\) | −209.650 | − | 36.9669i | −0.318133 | − | 0.0560954i | 0.0123016 | − | 0.999924i | \(-0.496084\pi\) |
−0.330435 | + | 0.943829i | \(0.607195\pi\) | |||||||
\(660\) | −50.1113 | + | 234.855i | −0.0759263 | + | 0.355841i | ||||
\(661\) | −88.9075 | − | 32.3597i | −0.134505 | − | 0.0489556i | 0.273891 | − | 0.961761i | \(-0.411689\pi\) |
−0.408395 | + | 0.912805i | \(0.633912\pi\) | |||||||
\(662\) | 355.529 | + | 18.4885i | 0.537052 | + | 0.0279283i | ||||
\(663\) | −185.823 | + | 46.0177i | −0.280276 | + | 0.0694083i | ||||
\(664\) | 351.762 | + | 403.667i | 0.529762 | + | 0.607932i | ||||
\(665\) | 816.640 | + | 1414.46i | 1.22803 | + | 2.12701i | ||||
\(666\) | −178.172 | + | 657.654i | −0.267526 | + | 0.987469i | ||||
\(667\) | 156.879 | + | 90.5741i | 0.235201 | + | 0.135793i | ||||
\(668\) | −38.1721 | + | 366.027i | −0.0571439 | + | 0.547944i | ||||
\(669\) | −797.693 | − | 581.494i | −1.19237 | − | 0.869199i | ||||
\(670\) | 746.416 | + | 1463.46i | 1.11405 | + | 2.18427i | ||||
\(671\) | 99.0416 | + | 118.033i | 0.147603 | + | 0.175906i | ||||
\(672\) | −579.416 | + | 965.254i | −0.862226 | + | 1.43639i | ||||
\(673\) | −635.081 | + | 231.150i | −0.943656 | + | 0.343463i | −0.767609 | − | 0.640919i | \(-0.778553\pi\) |
−0.176048 | + | 0.984382i | \(0.556331\pi\) | |||||||
\(674\) | −340.994 | − | 1113.73i | −0.505926 | − | 1.65242i | ||||
\(675\) | −713.988 | − | 1154.82i | −1.05776 | − | 1.71085i | ||||
\(676\) | 486.598 | − | 328.787i | 0.719820 | − | 0.486371i | ||||
\(677\) | −916.610 | + | 333.619i | −1.35393 | + | 0.492790i | −0.914172 | − | 0.405327i | \(-0.867158\pi\) |
−0.439757 | + | 0.898117i | \(0.644935\pi\) | |||||||
\(678\) | −980.290 | − | 795.746i | −1.44586 | − | 1.17367i | ||||
\(679\) | 1314.68 | + | 1566.78i | 1.93621 | + | 2.30748i | ||||
\(680\) | −454.936 | + | 823.075i | −0.669023 | + | 1.21040i | ||||
\(681\) | 109.860 | − | 1029.52i | 0.161321 | − | 1.51178i | ||||
\(682\) | 0.792893 | − | 1.87004i | 0.00116260 | − | 0.00274199i | ||||
\(683\) | 193.748 | + | 111.861i | 0.283672 | + | 0.163778i | 0.635085 | − | 0.772442i | \(-0.280965\pi\) |
−0.351412 | + | 0.936221i | \(0.614299\pi\) | |||||||
\(684\) | −356.836 | + | 454.508i | −0.521691 | + | 0.664486i | ||||
\(685\) | 461.172 | + | 798.774i | 0.673244 | + | 1.16609i | ||||
\(686\) | −113.350 | − | 920.093i | −0.165234 | − | 1.34124i | ||||
\(687\) | −242.084 | + | 839.218i | −0.352379 | + | 1.22157i | ||||
\(688\) | −212.644 | − | 190.845i | −0.309076 | − | 0.277391i | ||||
\(689\) | 183.517 | + | 66.7948i | 0.266353 | + | 0.0969445i | ||||
\(690\) | −4.22843 | − | 259.871i | −0.00612816 | − | 0.376625i | ||||
\(691\) | −204.026 | − | 35.9752i | −0.295262 | − | 0.0520626i | 0.0240551 | − | 0.999711i | \(-0.492342\pi\) |
−0.319317 | + | 0.947648i | \(0.603453\pi\) | |||||||
\(692\) | −1023.47 | − | 498.158i | −1.47901 | − | 0.719881i | ||||
\(693\) | 163.456 | − | 180.382i | 0.235867 | − | 0.260291i | ||||
\(694\) | −122.228 | + | 530.403i | −0.176120 | + | 0.764269i | ||||
\(695\) | −315.124 | + | 375.550i | −0.453416 | + | 0.540360i | ||||
\(696\) | −615.544 | − | 616.007i | −0.884402 | − | 0.885067i | ||||
\(697\) | 5.90752 | + | 33.5032i | 0.00847565 | + | 0.0480678i | ||||
\(698\) | −427.790 | − | 277.565i | −0.612880 | − | 0.397657i | ||||
\(699\) | 246.700 | − | 165.832i | 0.352932 | − | 0.237242i | ||||
\(700\) | 1909.45 | + | 1384.94i | 2.72779 | + | 1.97849i | ||||
\(701\) | −318.924 | −0.454955 | −0.227478 | − | 0.973783i | \(-0.573048\pi\) | ||||
−0.227478 | + | 0.973783i | \(0.573048\pi\) | |||||||
\(702\) | −222.986 | + | 122.336i | −0.317643 | + | 0.174267i | ||||
\(703\) | − | 607.600i | − | 0.864296i | ||||||
\(704\) | 124.989 | − | 78.5233i | 0.177541 | − | 0.111539i | ||||
\(705\) | −100.466 | + | 205.159i | −0.142505 | + | 0.291006i | ||||
\(706\) | 386.002 | + | 250.451i | 0.546745 | + | 0.354747i | ||||
\(707\) | 862.306 | − | 152.048i | 1.21967 | − | 0.215060i | ||||
\(708\) | −311.579 | − | 11.1238i | −0.440083 | − | 0.0157116i | ||||
\(709\) | 469.253 | + | 393.750i | 0.661852 | + | 0.555360i | 0.910641 | − | 0.413198i | \(-0.135588\pi\) |
−0.248789 | + | 0.968558i | \(0.580033\pi\) | |||||||
\(710\) | 450.906 | − | 1956.69i | 0.635079 | − | 2.75591i | ||||
\(711\) | −243.553 | − | 461.586i | −0.342550 | − | 0.649207i | ||||
\(712\) | 134.918 | − | 858.568i | 0.189491 | − | 1.20585i | ||||
\(713\) | −0.381741 | + | 2.16496i | −0.000535401 | + | 0.00303641i | ||||
\(714\) | 817.712 | − | 490.014i | 1.14525 | − | 0.686295i | ||||
\(715\) | 32.2372 | − | 88.5710i | 0.0450870 | − | 0.123876i | ||||
\(716\) | 41.8589 | + | 167.311i | 0.0584621 | + | 0.233675i | ||||
\(717\) | −249.396 | + | 240.075i | −0.347832 | + | 0.334832i | ||||
\(718\) | −145.049 | − | 1177.40i | −0.202018 | − | 1.63983i | ||||
\(719\) | 983.957 | − | 568.088i | 1.36851 | − | 0.790108i | 0.377770 | − | 0.925900i | \(-0.376691\pi\) |
0.990737 | + | 0.135792i | \(0.0433577\pi\) | |||||||
\(720\) | −304.159 | + | 1211.86i | −0.422444 | + | 1.68314i | ||||
\(721\) | 816.643 | − | 1414.47i | 1.13265 | − | 1.96181i | ||||
\(722\) | −80.6901 | + | 190.308i | −0.111759 | + | 0.263584i | ||||
\(723\) | −142.209 | − | 320.776i | −0.196693 | − | 0.443674i | ||||
\(724\) | −290.494 | − | 300.330i | −0.401235 | − | 0.414820i | ||||
\(725\) | −1397.73 | + | 1172.84i | −1.92791 | + | 1.61771i | ||||
\(726\) | 648.277 | − | 247.970i | 0.892944 | − | 0.341557i | ||||
\(727\) | −393.913 | − | 1082.27i | −0.541834 | − | 1.48868i | −0.844487 | − | 0.535576i | \(-0.820095\pi\) |
0.302653 | − | 0.953101i | \(-0.402128\pi\) | |||||||
\(728\) | 277.666 | − | 343.740i | 0.381410 | − | 0.472171i | ||||
\(729\) | −668.768 | + | 290.155i | −0.917378 | + | 0.398018i | ||||
\(730\) | −228.957 | − | 747.804i | −0.313639 | − | 1.02439i | ||||
\(731\) | 82.7492 | + | 227.352i | 0.113200 | + | 0.311015i | ||||
\(732\) | 493.072 | + | 632.118i | 0.673595 | + | 0.863550i | ||||
\(733\) | 405.935 | − | 340.620i | 0.553800 | − | 0.464693i | −0.322426 | − | 0.946595i | \(-0.604498\pi\) |
0.876225 | + | 0.481902i | \(0.160054\pi\) | |||||||
\(734\) | 302.918 | + | 593.917i | 0.412695 | + | 0.809151i | ||||
\(735\) | −933.919 | − | 2106.61i | −1.27064 | − | 2.86613i | ||||
\(736\) | −112.737 | + | 113.193i | −0.153175 | + | 0.153794i | ||||
\(737\) | −109.170 | + | 189.088i | −0.148127 | + | 0.256564i | ||||
\(738\) | 18.9882 | + | 41.0166i | 0.0257292 | + | 0.0555781i | ||||
\(739\) | 1010.52 | − | 583.424i | 1.36742 | − | 0.789478i | 0.376819 | − | 0.926287i | \(-0.377018\pi\) |
0.990597 | + | 0.136809i | \(0.0436845\pi\) | |||||||
\(740\) | −535.331 | − | 1199.76i | −0.723420 | − | 1.62130i | ||||
\(741\) | 163.400 | − | 157.293i | 0.220513 | − | 0.212271i | ||||
\(742\) | −971.194 | − | 50.5049i | −1.30889 | − | 0.0680659i | ||||
\(743\) | −297.963 | + | 818.648i | −0.401028 | + | 1.10181i | 0.560751 | + | 0.827985i | \(0.310513\pi\) |
−0.961778 | + | 0.273829i | \(0.911710\pi\) | |||||||
\(744\) | 4.46992 | − | 9.57638i | 0.00600796 | − | 0.0128715i | ||||
\(745\) | −176.491 | + | 1000.93i | −0.236901 | + | 1.34353i | ||||
\(746\) | 85.0846 | − | 91.3159i | 0.114054 | − | 0.122407i | ||||
\(747\) | −281.100 | − | 532.745i | −0.376305 | − | 0.713179i | ||||
\(748\) | −124.678 | + | 8.81950i | −0.166681 | + | 0.0117908i | ||||
\(749\) | −252.441 | − | 211.823i | −0.337037 | − | 0.282807i | ||||
\(750\) | 1244.16 | + | 430.046i | 1.65888 | + | 0.573395i | ||||
\(751\) | −925.603 | + | 163.209i | −1.23249 | + | 0.217322i | −0.751696 | − | 0.659510i | \(-0.770764\pi\) |
−0.480798 | + | 0.876832i | \(0.659653\pi\) | |||||||
\(752\) | 133.471 | − | 43.6060i | 0.177489 | − | 0.0579866i | ||||
\(753\) | 194.411 | − | 397.000i | 0.258182 | − | 0.527225i | ||||
\(754\) | 205.812 | + | 272.893i | 0.272961 | + | 0.361927i | ||||
\(755\) | 2156.62i | 2.85646i | ||||||||
\(756\) | 883.402 | − | 907.580i | 1.16852 | − | 1.20050i | ||||
\(757\) | 1407.53 | 1.85935 | 0.929677 | − | 0.368376i | \(-0.120086\pi\) | ||||
0.929677 | + | 0.368376i | \(0.120086\pi\) | |||||||
\(758\) | −545.927 | + | 411.731i | −0.720220 | + | 0.543181i | ||||
\(759\) | 28.6680 | − | 19.2707i | 0.0377707 | − | 0.0253896i | ||||
\(760\) | −20.7948 | − | 1113.99i | −0.0273616 | − | 1.46578i | ||||
\(761\) | −40.6037 | − | 230.275i | −0.0533558 | − | 0.302596i | 0.946438 | − | 0.322884i | \(-0.104653\pi\) |
−0.999794 | + | 0.0202889i | \(0.993541\pi\) | |||||||
\(762\) | 656.880 | − | 126.878i | 0.862047 | − | 0.166506i | ||||
\(763\) | −96.3883 | + | 114.871i | −0.126328 | + | 0.150552i | ||||
\(764\) | −1012.55 | + | 71.6264i | −1.32533 | + | 0.0937518i | ||||
\(765\) | 710.426 | − | 783.989i | 0.928662 | − | 1.02482i | ||||
\(766\) | 257.309 | + | 239.751i | 0.335913 | + | 0.312991i | ||||
\(767\) | 120.513 | + | 21.2498i | 0.157123 | + | 0.0277050i | ||||
\(768\) | 664.476 | − | 385.092i | 0.865203 | − | 0.501422i | ||||
\(769\) | 352.803 | + | 128.410i | 0.458781 | + | 0.166983i | 0.561064 | − | 0.827773i | \(-0.310392\pi\) |
−0.102282 | + | 0.994755i | \(0.532615\pi\) | |||||||
\(770\) | −24.3752 | + | 468.729i | −0.0316561 | + | 0.608738i | ||||
\(771\) | −260.706 | + | 903.774i | −0.338141 | + | 1.17221i | ||||
\(772\) | −0.434071 | − | 0.972824i | −0.000562268 | − | 0.00126013i | ||||
\(773\) | 82.5621 | + | 143.002i | 0.106807 | + | 0.184996i | 0.914475 | − | 0.404642i | \(-0.132604\pi\) |
−0.807668 | + | 0.589638i | \(0.799271\pi\) | |||||||
\(774\) | 183.641 | + | 263.819i | 0.237262 | + | 0.340852i | ||||
\(775\) | −19.1763 | − | 11.0715i | −0.0247437 | − | 0.0142858i | ||||
\(776\) | −267.885 | − | 1369.29i | −0.345213 | − | 1.76455i | ||||
\(777\) | −141.307 | + | 1324.22i | −0.181862 | + | 1.70427i | ||||
\(778\) | −185.089 | + | 94.4018i | −0.237904 | + | 0.121339i | ||||
\(779\) | −25.9079 | − | 30.8758i | −0.0332579 | − | 0.0396352i | ||||
\(780\) | 184.065 | − | 454.555i | 0.235980 | − | 0.582763i | ||||
\(781\) | 250.777 | − | 91.2753i | 0.321097 | − | 0.116870i | ||||
\(782\) | 129.349 | − | 39.6031i | 0.165408 | − | 0.0506434i | ||||
\(783\) | 515.196 | + | 833.289i | 0.657977 | + | 1.06423i | ||||
\(784\) | −528.476 | + | 1314.13i | −0.674076 | + | 1.67619i | ||||
\(785\) | −1512.20 | + | 550.397i | −1.92637 | + | 0.701142i | ||||
\(786\) | −93.5357 | − | 14.9281i | −0.119002 | − | 0.0189925i | ||||
\(787\) | −681.597 | − | 812.295i | −0.866070 | − | 1.03214i | −0.999158 | − | 0.0410374i | \(-0.986934\pi\) |
0.133088 | − | 0.991104i | \(-0.457511\pi\) | |||||||
\(788\) | 142.542 | + | 147.368i | 0.180891 | + | 0.187015i | ||||
\(789\) | −497.547 | − | 362.697i | −0.630605 | − | 0.459692i | ||||
\(790\) | 926.471 | + | 392.822i | 1.17275 | + | 0.497243i | ||||
\(791\) | −2137.18 | − | 1233.90i | −2.70187 | − | 1.55992i | ||||
\(792\) | −157.118 | + | 53.7551i | −0.198381 | + | 0.0678726i | ||||
\(793\) | −157.330 | − | 272.503i | −0.198398 | − | 0.343636i | ||||
\(794\) | 1226.93 | − | 151.151i | 1.54526 | − | 0.190367i | ||||
\(795\) | −1047.67 | + | 259.447i | −1.31782 | + | 0.326349i | ||||
\(796\) | −96.4871 | − | 385.662i | −0.121215 | − | 0.484499i | ||||
\(797\) | 649.352 | + | 236.345i | 0.814745 | + | 0.296543i | 0.715583 | − | 0.698528i | \(-0.246161\pi\) |
0.0991628 | + | 0.995071i | \(0.468384\pi\) | |||||||
\(798\) | −548.722 | + | 987.164i | −0.687622 | + | 1.23705i | ||||
\(799\) | −117.091 | − | 20.6464i | −0.146547 | − | 0.0258402i | ||||
\(800\) | −682.997 | − | 1457.00i | −0.853746 | − | 1.82125i | ||||
\(801\) | −369.145 | + | 905.379i | −0.460855 | + | 1.13031i | ||||
\(802\) | 401.642 | + | 92.5555i | 0.500800 | + | 0.115406i | ||||
\(803\) | 66.8122 | − | 79.6236i | 0.0832032 | − | 0.0991577i | ||||
\(804\) | −602.748 | + | 962.928i | −0.749687 | + | 1.19767i | ||||
\(805\) | −88.2118 | − | 500.274i | −0.109580 | − | 0.621459i | ||||
\(806\) | −2.25777 | + | 3.47973i | −0.00280120 | + | 0.00431729i | ||||
\(807\) | 55.3066 | + | 809.381i | 0.0685336 | + | 1.00295i | ||||
\(808\) | −565.013 | − | 193.784i | −0.699274 | − | 0.239832i | ||||
\(809\) | 10.7246 | 0.0132566 | 0.00662832 | − | 0.999978i | \(-0.497890\pi\) | ||||
0.00662832 | + | 0.999978i | \(0.497890\pi\) | |||||||
\(810\) | 645.578 | − | 1248.61i | 0.797010 | − | 1.54149i | ||||
\(811\) | 1400.90i | 1.72738i | 0.504026 | + | 0.863688i | \(0.331852\pi\) | ||||
−0.504026 | + | 0.863688i | \(0.668148\pi\) | |||||||
\(812\) | −1377.81 | − | 999.341i | −1.69681 | − | 1.23072i | ||||
\(813\) | 696.467 | − | 47.5909i | 0.856663 | − | 0.0585374i | ||||
\(814\) | 95.0394 | − | 146.477i | 0.116756 | − | 0.179948i | ||||
\(815\) | 26.2373 | − | 4.62635i | 0.0321930 | − | 0.00567650i | ||||
\(816\) | −649.919 | + | 22.7139i | −0.796469 | + | 0.0278356i | ||||
\(817\) | −219.581 | − | 184.251i | −0.268766 | − | 0.225521i | ||||
\(818\) | 502.818 | + | 115.871i | 0.614692 | + | 0.141651i | ||||
\(819\) | −392.700 | + | 304.808i | −0.479487 | + | 0.372171i | ||||
\(820\) | −78.3610 | − | 38.1409i | −0.0955622 | − | 0.0465133i | ||||
\(821\) | 142.689 | − | 809.228i | 0.173799 | − | 0.985661i | −0.765723 | − | 0.643171i | \(-0.777619\pi\) |
0.939521 | − | 0.342490i | \(-0.111270\pi\) | |||||||
\(822\) | −309.874 | + | 557.471i | −0.376976 | + | 0.678188i | ||||
\(823\) | 321.791 | − | 884.112i | 0.390997 | − | 1.07426i | −0.575550 | − | 0.817767i | \(-0.695212\pi\) |
0.966547 | − | 0.256489i | \(-0.0825658\pi\) | |||||||
\(824\) | −954.353 | + | 575.008i | −1.15820 | + | 0.697825i | ||||
\(825\) | 83.6366 | + | 337.731i | 0.101378 | + | 0.409371i | ||||
\(826\) | −604.804 | + | 74.5086i | −0.732209 | + | 0.0902041i | ||||
\(827\) | 876.335 | − | 505.952i | 1.05965 | − | 0.611792i | 0.134318 | − | 0.990938i | \(-0.457116\pi\) |
0.925337 | + | 0.379146i | \(0.123782\pi\) | |||||||
\(828\) | 152.641 | − | 94.8792i | 0.184349 | − | 0.114588i | ||||
\(829\) | −460.400 | + | 797.436i | −0.555368 | + | 0.961925i | 0.442507 | + | 0.896765i | \(0.354089\pi\) |
−0.997875 | + | 0.0651600i | \(0.979244\pi\) | |||||||
\(830\) | 1069.30 | + | 453.380i | 1.28831 | + | 0.546241i | ||||
\(831\) | −133.041 | + | 182.506i | −0.160098 | + | 0.219622i | ||||
\(832\) | −279.215 | + | 113.598i | −0.335595 | + | 0.136536i | ||||
\(833\) | 918.770 | − | 770.939i | 1.10296 | − | 0.925497i | ||||
\(834\) | −334.771 | − | 53.4287i | −0.401404 | − | 0.0640631i | ||||
\(835\) | 273.030 | + | 750.143i | 0.326982 | + | 0.898375i | ||||
\(836\) | 122.698 | − | 82.9054i | 0.146768 | − | 0.0991691i | ||||
\(837\) | −7.36428 | + | 9.33389i | −0.00879842 | + | 0.0111516i | ||||
\(838\) | −233.571 | + | 71.5130i | −0.278725 | + | 0.0853377i | ||||
\(839\) | −139.473 | − | 383.198i | −0.166237 | − | 0.456732i | 0.828403 | − | 0.560133i | \(-0.189250\pi\) |
−0.994640 | + | 0.103401i | \(0.967028\pi\) | |||||||
\(840\) | −213.756 | + | 2432.71i | −0.254471 | + | 2.89608i | ||||
\(841\) | 364.326 | − | 305.706i | 0.433206 | − | 0.363503i | ||||
\(842\) | 197.600 | − | 100.783i | 0.234680 | − | 0.119695i | ||||
\(843\) | −418.790 | − | 44.6888i | −0.496785 | − | 0.0530116i | ||||
\(844\) | 42.3543 | − | 406.130i | 0.0501829 | − | 0.481196i | ||||
\(845\) | 636.942 | − | 1103.22i | 0.753777 | − | 1.30558i | ||||
\(846\) | −157.402 | + | 13.3315i | −0.186055 | + | 0.0157583i | ||||
\(847\) | 1174.85 | − | 678.302i | 1.38708 | − | 0.800828i | ||||
\(848\) | 563.182 | + | 350.651i | 0.664129 | + | 0.413504i | ||||
\(849\) | −404.723 | − | 116.748i | −0.476705 | − | 0.137512i | ||||
\(850\) | −70.7617 | + | 1360.73i | −0.0832491 | + | 1.60086i | ||||
\(851\) | −64.6347 | + | 177.582i | −0.0759514 | + | 0.208675i | ||||
\(852\) | 1320.90 | − | 428.048i | 1.55035 | − | 0.502404i | ||||
\(853\) | −199.253 | + | 1130.02i | −0.233591 | + | 1.32476i | 0.611970 | + | 0.790881i | \(0.290377\pi\) |
−0.845561 | + | 0.533879i | \(0.820734\pi\) | |||||||
\(854\) | 1146.39 | + | 1068.16i | 1.34238 | + | 1.25078i | ||||
\(855\) | −264.500 | + | 1225.24i | −0.309357 | + | 1.43303i | ||||
\(856\) | 80.8166 | + | 209.774i | 0.0944119 | + | 0.245064i | ||||
\(857\) | 248.410 | + | 208.441i | 0.289861 | + | 0.243222i | 0.776109 | − | 0.630599i | \(-0.217191\pi\) |
−0.486249 | + | 0.873821i | \(0.661635\pi\) | |||||||
\(858\) | 63.9951 | − | 12.3608i | 0.0745864 | − | 0.0144065i | ||||
\(859\) | 978.617 | − | 172.557i | 1.13925 | − | 0.200881i | 0.427974 | − | 0.903791i | \(-0.359228\pi\) |
0.711278 | + | 0.702910i | \(0.248117\pi\) | |||||||
\(860\) | −595.920 | − | 170.357i | −0.692930 | − | 0.198089i | ||||
\(861\) | 49.2837 | + | 73.3169i | 0.0572401 | + | 0.0851532i | ||||
\(862\) | −1114.47 | + | 840.516i | −1.29288 | + | 0.975077i | ||||
\(863\) | − | 1635.75i | − | 1.89543i | −0.319121 | − | 0.947714i | \(-0.603387\pi\) | ||
0.319121 | − | 0.947714i | \(-0.396613\pi\) | |||||||
\(864\) | −826.937 | + | 250.342i | −0.957103 | + | 0.289748i | ||||
\(865\) | −2469.11 | −2.85447 | ||||||||
\(866\) | 722.493 | + | 957.976i | 0.834288 | + | 1.10621i | ||||
\(867\) | −284.100 | − | 139.124i | −0.327682 | − | 0.160466i | ||||
\(868\) | 5.67748 | − | 19.8602i | 0.00654087 | − | 0.0228805i | ||||
\(869\) | 23.2244 | + | 131.712i | 0.0267254 | + | 0.151567i | ||||
\(870\) | −1785.36 | − | 617.114i | −2.05214 | − | 0.709326i | ||||
\(871\) | 286.610 | − | 341.568i | 0.329059 | − | 0.392157i | ||||
\(872\) | 95.4562 | − | 36.7750i | 0.109468 | − | 0.0421731i | ||||
\(873\) | −59.7599 | + | 1568.52i | −0.0684535 | + | 1.79670i | ||||
\(874\) | −109.256 | + | 117.258i | −0.125007 | + | 0.134162i | ||||
\(875\) | 2533.82 | + | 446.780i | 2.89579 | + | 0.510606i | ||||
\(876\) | 362.182 | − | 401.613i | 0.413449 | − | 0.458463i | ||||
\(877\) | 1496.49 | + | 544.677i | 1.70637 | + | 0.621068i | 0.996525 | − | 0.0832905i | \(-0.0265429\pi\) |
0.709845 | + | 0.704358i | \(0.248765\pi\) | |||||||
\(878\) | 1558.15 | + | 81.0280i | 1.77465 | + | 0.0922871i | ||||
\(879\) | −692.662 | − | 719.554i | −0.788011 | − | 0.818606i | ||||
\(880\) | 169.235 | − | 271.809i | 0.192313 | − | 0.308874i | ||||
\(881\) | −418.502 | − | 724.867i | −0.475031 | − | 0.822777i | 0.524560 | − | 0.851373i | \(-0.324230\pi\) |
−0.999591 | + | 0.0285961i | \(0.990896\pi\) | |||||||
\(882\) | 917.587 | − | 1302.75i | 1.04035 | − | 1.47704i | ||||
\(883\) | −951.790 | − | 549.516i | −1.07791 | − | 0.622329i | −0.147575 | − | 0.989051i | \(-0.547147\pi\) |
−0.930331 | + | 0.366722i | \(0.880480\pi\) | |||||||
\(884\) | 253.872 | + | 26.4757i | 0.287185 | + | 0.0299499i | ||||
\(885\) | −618.269 | + | 274.096i | −0.698609 | + | 0.309713i | ||||
\(886\) | −630.109 | − | 1235.42i | −0.711184 | − | 1.39438i | ||||
\(887\) | 607.213 | + | 723.649i | 0.684570 | + | 0.815838i | 0.990688 | − | 0.136155i | \(-0.0434746\pi\) |
−0.306118 | + | 0.951994i | \(0.599030\pi\) | |||||||
\(888\) | 521.364 | − | 743.990i | 0.587122 | − | 0.837827i | ||||
\(889\) | 1228.76 | − | 447.231i | 1.38218 | − | 0.503072i | ||||
\(890\) | −551.921 | − | 1802.65i | −0.620135 | − | 2.02545i | ||||
\(891\) | 185.913 | − | 18.3476i | 0.208657 | − | 0.0205921i | ||||
\(892\) | 736.885 | + | 1090.58i | 0.826104 | + | 1.22262i | ||||
\(893\) | 132.370 | − | 48.1786i | 0.148230 | − | 0.0539514i | ||||
\(894\) | −656.443 | + | 251.094i | −0.734276 | + | 0.280866i | ||||
\(895\) | 240.476 | + | 286.588i | 0.268688 | + | 0.320210i | ||||
\(896\) | 1163.88 | − | 947.950i | 1.29897 | − | 1.05798i | ||||
\(897\) | −64.4891 | + | 28.5898i | −0.0718942 | + | 0.0318727i | ||||
\(898\) | −412.209 | + | 972.196i | −0.459030 | + | 1.08262i | ||||
\(899\) | 13.8372 | + | 7.98889i | 0.0153917 | + | 0.00888642i | ||||
\(900\) | 372.187 | + | 1771.61i | 0.413542 | + | 1.96846i | ||||
\(901\) | −280.882 | − | 486.501i | −0.311744 | − | 0.539957i | ||||
\(902\) | −1.41623 | − | 11.4959i | −0.00157009 | − | 0.0127448i | ||||
\(903\) | 435.712 | + | 452.628i | 0.482516 | + | 0.501249i | ||||
\(904\) | 868.803 | + | 1441.97i | 0.961065 | + | 1.59510i | ||||
\(905\) | −851.697 | − | 309.992i | −0.941102 | − | 0.342533i | ||||
\(906\) | −1279.22 | + | 766.571i | −1.41194 | + | 0.846105i | ||||
\(907\) | 1707.97 | + | 301.161i | 1.88310 | + | 0.332041i | 0.992449 | − | 0.122655i | \(-0.0391409\pi\) |
0.890647 | + | 0.454696i | \(0.150252\pi\) | |||||||
\(908\) | −604.165 | + | 1241.26i | −0.665380 | + | 1.36703i | ||||
\(909\) | 568.743 | + | 357.906i | 0.625680 | + | 0.393736i | ||||
\(910\) | 215.242 | − | 934.034i | 0.236529 | − | 1.02641i | ||||
\(911\) | 242.902 | − | 289.479i | 0.266632 | − | 0.317760i | −0.616071 | − | 0.787691i | \(-0.711277\pi\) |
0.882703 | + | 0.469931i | \(0.155721\pi\) | |||||||
\(912\) | 653.381 | − | 408.303i | 0.716426 | − | 0.447701i | ||||
\(913\) | 26.8047 | + | 152.017i | 0.0293589 | + | 0.166503i | ||||
\(914\) | −223.771 | − | 145.190i | −0.244826 | − | 0.158851i | ||||
\(915\) | 1561.79 | + | 764.805i | 1.70687 | + | 0.835853i | ||||
\(916\) | 683.763 | − | 942.719i | 0.746466 | − | 1.02917i | ||||
\(917\) | −185.131 | −0.201888 | ||||||||
\(918\) | 717.548 | + | 142.725i | 0.781643 | + | 0.155474i | ||||
\(919\) | − | 577.379i | − | 0.628268i | −0.949379 | − | 0.314134i | \(-0.898286\pi\) | ||
0.949379 | − | 0.314134i | \(-0.101714\pi\) | |||||||
\(920\) | −112.426 | + | 327.797i | −0.122202 | + | 0.356301i | ||||
\(921\) | −340.778 | − | 506.958i | −0.370009 | − | 0.550443i | ||||
\(922\) | 889.079 | + | 576.864i | 0.964294 | + | 0.625666i | ||||
\(923\) | −536.715 | + | 94.6374i | −0.581490 | + | 0.102532i | ||||
\(924\) | −286.693 | + | 152.151i | −0.310274 | + | 0.164666i | ||||
\(925\) | −1458.16 | − | 1223.54i | −1.57639 | − | 1.32275i | ||||
\(926\) | −220.068 | + | 954.978i | −0.237654 | + | 1.03129i | ||||
\(927\) | 1193.34 | − | 383.556i | 1.28731 | − | 0.413760i | ||||
\(928\) | 492.833 | + | 1051.34i | 0.531070 | + | 1.13291i | ||||
\(929\) | 58.9907 | − | 334.553i | 0.0634991 | − | 0.360121i | −0.936457 | − | 0.350782i | \(-0.885916\pi\) |
0.999956 | − | 0.00933976i | \(-0.00297298\pi\) | |||||||
\(930\) | −0.372959 | − | 22.9214i | −0.000401031 | − | 0.0246466i | ||||
\(931\) | −485.997 | + | 1335.27i | −0.522016 | + | 1.43423i | ||||
\(932\) | −384.490 | + | 96.1941i | −0.412543 | + | 0.103213i | ||||
\(933\) | −533.064 | − | 153.770i | −0.571344 | − | 0.164812i | ||||
\(934\) | 47.5085 | + | 385.638i | 0.0508656 | + | 0.412889i | ||||
\(935\) | −234.801 | + | 135.562i | −0.251124 | + | 0.144986i | ||||
\(936\) | 335.048 | − | 52.3923i | 0.357957 | − | 0.0559747i | ||||
\(937\) | 583.029 | − | 1009.84i | 0.622230 | − | 1.07773i | −0.366840 | − | 0.930284i | \(-0.619560\pi\) |
0.989070 | − | 0.147449i | \(-0.0471063\pi\) | |||||||
\(938\) | −866.743 | + | 2044.21i | −0.924033 | + | 2.17933i | ||||
\(939\) | 330.874 | + | 35.3073i | 0.352368 | + | 0.0376010i | ||||
\(940\) | 218.928 | − | 211.759i | 0.232902 | − | 0.225275i | ||||
\(941\) | 398.127 | − | 334.068i | 0.423089 | − | 0.355014i | −0.406248 | − | 0.913763i | \(-0.633163\pi\) |
0.829337 | + | 0.558749i | \(0.188718\pi\) | |||||||
\(942\) | −863.982 | − | 701.334i | −0.917179 | − | 0.744516i | ||||
\(943\) | 4.28758 | + | 11.7800i | 0.00454675 | + | 0.0124921i | ||||
\(944\) | 385.685 | + | 155.102i | 0.408564 | + | 0.164303i | ||||
\(945\) | 861.407 | − | 2608.80i | 0.911542 | − | 2.76064i | ||||
\(946\) | −24.1156 | − | 78.7647i | −0.0254921 | − | 0.0832608i | ||||
\(947\) | −456.322 | − | 1253.73i | −0.481861 | − | 1.32390i | −0.907896 | − | 0.419195i | \(-0.862312\pi\) |
0.426036 | − | 0.904706i | \(-0.359910\pi\) | |||||||
\(948\) | 96.3087 | + | 689.170i | 0.101591 | + | 0.726973i | ||||
\(949\) | −162.605 | + | 136.441i | −0.171343 | + | 0.143774i | ||||
\(950\) | −733.462 | − | 1438.06i | −0.772065 | − | 1.51375i | ||||
\(951\) | 239.990 | − | 329.218i | 0.252356 | − | 0.346181i | ||||
\(952\) | −1247.41 | + | 244.040i | −1.31030 | + | 0.256345i | ||||
\(953\) | 8.15378 | − | 14.1228i | 0.00855591 | − | 0.0148193i | −0.861716 | − | 0.507391i | \(-0.830610\pi\) |
0.870272 | + | 0.492572i | \(0.163943\pi\) | |||||||
\(954\) | −526.285 | − | 529.210i | −0.551662 | − | 0.554728i | ||||
\(955\) | −1906.90 | + | 1100.95i | −1.99676 | + | 1.15283i | ||||
\(956\) | 421.505 | − | 188.074i | 0.440905 | − | 0.196730i | ||||
\(957\) | −60.3500 | − | 243.698i | −0.0630617 | − | 0.254648i | ||||
\(958\) | −42.9054 | − | 2.23120i | −0.0447864 | − | 0.00232902i | ||||
\(959\) | −426.364 | + | 1171.43i | −0.444592 | + | 1.22151i | ||||
\(960\) | 930.424 | − | 1381.90i | 0.969191 | − | 1.43948i | ||||
\(961\) | 166.842 | − | 946.209i | 0.173613 | − | 0.984609i | ||||
\(962\) | −243.081 | + | 260.884i | −0.252683 | + | 0.271189i | ||||
\(963\) | −34.4022 | − | 250.553i | −0.0357240 | − | 0.260180i | ||||
\(964\) | 33.0123 | + | 466.682i | 0.0342452 | + | 0.484110i | ||||
\(965\) | −1.77015 | − | 1.48533i | −0.00183436 | − | 0.00153921i | ||||
\(966\) | 265.386 | − | 230.146i | 0.274726 | − | 0.238246i | ||||
\(967\) | 817.785 | − | 144.198i | 0.845693 | − | 0.149118i | 0.266020 | − | 0.963968i | \(-0.414291\pi\) |
0.579673 | + | 0.814849i | \(0.303180\pi\) | |||||||
\(968\) | −925.284 | + | 17.2722i | −0.955872 | + | 0.0178432i | ||||
\(969\) | −650.885 | + | 44.4763i | −0.671708 | + | 0.0458991i | ||||
\(970\) | −1822.40 | − | 2416.38i | −1.87876 | − | 2.49111i | ||||
\(971\) | 308.493i | 0.317706i | 0.987302 | + | 0.158853i | \(0.0507796\pi\) | ||||
−0.987302 | + | 0.158853i | \(0.949220\pi\) | |||||||
\(972\) | 970.091 | − | 60.8893i | 0.998036 | − | 0.0626433i | ||||
\(973\) | −662.598 | −0.680984 | ||||||||
\(974\) | 1069.13 | − | 806.327i | 1.09767 | − | 0.827851i | ||||
\(975\) | −48.4393 | − | 708.883i | −0.0496814 | − | 0.727059i | ||||
\(976\) | −331.953 | − | 1016.06i | −0.340115 | − | 1.04104i | ||||
\(977\) | 98.4489 | + | 558.332i | 0.100767 | + | 0.571476i | 0.992827 | + | 0.119560i | \(0.0381482\pi\) |
−0.892060 | + | 0.451916i | \(0.850741\pi\) | |||||||
\(978\) | 12.0702 | + | 13.9184i | 0.0123417 | + | 0.0142315i | ||||
\(979\) | 161.057 | − | 191.940i | 0.164511 | − | 0.196057i | ||||
\(980\) | 216.799 | + | 3064.80i | 0.221224 | + | 3.12735i | ||||
\(981\) | −114.012 | + | 15.6545i | −0.116220 | + | 0.0159576i | ||||
\(982\) | 849.839 | + | 791.847i | 0.865417 | + | 0.806361i | ||||
\(983\) | −36.2725 | − | 6.39583i | −0.0368998 | − | 0.00650644i | 0.155168 | − | 0.987888i | \(-0.450408\pi\) |
−0.192068 | + | 0.981382i | \(0.561519\pi\) | |||||||
\(984\) | −5.22986 | − | 60.0374i | −0.00531490 | − | 0.0610137i | ||||
\(985\) | 417.918 | + | 152.110i | 0.424282 | + | 0.154426i | ||||
\(986\) | 51.0599 | − | 981.866i | 0.0517848 | − | 0.995808i | ||||
\(987\) | −299.695 | + | 74.2172i | −0.303642 | + | 0.0751947i | ||||
\(988\) | −276.163 | + | 123.223i | −0.279518 | + | 0.124720i | ||||
\(989\) | 44.5767 | + | 77.2091i | 0.0450725 | + | 0.0780678i | ||||
\(990\) | −255.413 | + | 254.002i | −0.257993 | + | 0.256567i | ||||
\(991\) | 988.565 | + | 570.748i | 0.997543 | + | 0.575932i | 0.907520 | − | 0.420008i | \(-0.137973\pi\) |
0.0900228 | + | 0.995940i | \(0.471306\pi\) | |||||||
\(992\) | −9.94367 | + | 9.98391i | −0.0100239 | + | 0.0100644i | ||||
\(993\) | 431.527 | + | 314.571i | 0.434569 | + | 0.316788i | ||||
\(994\) | 2417.61 | − | 1233.06i | 2.43220 | − | 1.24051i | ||||
\(995\) | −554.311 | − | 660.602i | −0.557097 | − | 0.663922i | ||||
\(996\) | 111.156 | + | 795.413i | 0.111602 | + | 0.798608i | ||||
\(997\) | 1263.46 | − | 459.861i | 1.26726 | − | 0.461245i | 0.381060 | − | 0.924550i | \(-0.375559\pi\) |
0.886199 | + | 0.463306i | \(0.153337\pi\) | |||||||
\(998\) | −919.900 | + | 281.648i | −0.921744 | + | 0.282212i | ||||
\(999\) | −762.774 | + | 680.256i | −0.763538 | + | 0.680937i |
(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 | 108.3.j.a.7.10 | ✓ | 204 | |
3.2 | odd | 2 | 324.3.j.a.19.25 | 204 | |||
4.3 | odd | 2 | inner | 108.3.j.a.7.17 | yes | 204 | |
12.11 | even | 2 | 324.3.j.a.19.18 | 204 | |||
27.4 | even | 9 | inner | 108.3.j.a.31.17 | yes | 204 | |
27.23 | odd | 18 | 324.3.j.a.307.18 | 204 | |||
108.23 | even | 18 | 324.3.j.a.307.25 | 204 | |||
108.31 | odd | 18 | inner | 108.3.j.a.31.10 | yes | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.3.j.a.7.10 | ✓ | 204 | 1.1 | even | 1 | trivial | |
108.3.j.a.7.17 | yes | 204 | 4.3 | odd | 2 | inner | |
108.3.j.a.31.10 | yes | 204 | 108.31 | odd | 18 | inner | |
108.3.j.a.31.17 | yes | 204 | 27.4 | even | 9 | inner | |
324.3.j.a.19.18 | 204 | 12.11 | even | 2 | |||
324.3.j.a.19.25 | 204 | 3.2 | odd | 2 | |||
324.3.j.a.307.18 | 204 | 27.23 | odd | 18 | |||
324.3.j.a.307.25 | 204 | 108.23 | even | 18 |