Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(76,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 6, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.76");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bd (of order \(12\), degree \(4\), 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: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 175.1 | ||
Character | \(\chi\) | \(=\) | 429.175 |
Dual form | 429.2.bd.b.76.1 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{5}{12}\right)\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.44393 | + | 0.654849i | −1.72812 | + | 0.463048i | −0.979749 | − | 0.200232i | \(-0.935830\pi\) |
−0.748371 | + | 0.663280i | \(0.769164\pi\) | |||||||
\(3\) | 0.500000 | − | 0.866025i | 0.288675 | − | 0.500000i | ||||
\(4\) | 3.81192 | − | 2.20081i | 1.90596 | − | 1.10041i | ||||
\(5\) | −0.748465 | + | 0.748465i | −0.334724 | + | 0.334724i | −0.854377 | − | 0.519654i | \(-0.826061\pi\) |
0.519654 | + | 0.854377i | \(0.326061\pi\) | |||||||
\(6\) | −0.654849 | + | 2.44393i | −0.267341 | + | 0.997730i | ||||
\(7\) | −0.270535 | − | 0.0724897i | −0.102253 | − | 0.0273985i | 0.207330 | − | 0.978271i | \(-0.433523\pi\) |
−0.309583 | + | 0.950873i | \(0.600189\pi\) | |||||||
\(8\) | −4.29670 | + | 4.29670i | −1.51911 | + | 1.51911i | ||||
\(9\) | −0.500000 | − | 0.866025i | −0.166667 | − | 0.288675i | ||||
\(10\) | 1.33906 | − | 2.31933i | 0.423449 | − | 0.733436i | ||||
\(11\) | −2.59095 | + | 2.07050i | −0.781201 | + | 0.624280i | ||||
\(12\) | − | 4.40162i | − | 1.27064i | ||||||
\(13\) | −2.42671 | − | 2.66666i | −0.673048 | − | 0.739599i | ||||
\(14\) | 0.708639 | 0.189392 | ||||||||
\(15\) | 0.273957 | + | 1.02242i | 0.0707354 | + | 0.263988i | ||||
\(16\) | 3.28552 | − | 5.69069i | 0.821380 | − | 1.42267i | ||||
\(17\) | 0.0934440 | + | 0.161850i | 0.0226635 | + | 0.0392543i | 0.877135 | − | 0.480244i | \(-0.159452\pi\) |
−0.854471 | + | 0.519499i | \(0.826119\pi\) | |||||||
\(18\) | 1.78908 | + | 1.78908i | 0.421690 | + | 0.421690i | ||||
\(19\) | −0.228087 | + | 0.851231i | −0.0523267 | + | 0.195286i | −0.987141 | − | 0.159850i | \(-0.948899\pi\) |
0.934815 | + | 0.355136i | \(0.115566\pi\) | |||||||
\(20\) | −1.20586 | + | 4.50032i | −0.269638 | + | 1.00630i | ||||
\(21\) | −0.198045 | + | 0.198045i | −0.0432171 | + | 0.0432171i | ||||
\(22\) | 4.97623 | − | 6.75684i | 1.06094 | − | 1.44056i | ||||
\(23\) | −1.93986 | − | 1.11998i | −0.404489 | − | 0.233532i | 0.283930 | − | 0.958845i | \(-0.408362\pi\) |
−0.688419 | + | 0.725313i | \(0.741695\pi\) | |||||||
\(24\) | 1.57270 | + | 5.86940i | 0.321026 | + | 1.19809i | ||||
\(25\) | 3.87960i | 0.775920i | ||||||||
\(26\) | 7.67697 | + | 4.92801i | 1.50558 | + | 0.966462i | ||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | −1.19079 | + | 0.319072i | −0.225039 | + | 0.0602990i | ||||
\(29\) | 2.15228 | + | 1.24262i | 0.399669 | + | 0.230749i | 0.686341 | − | 0.727280i | \(-0.259216\pi\) |
−0.286672 | + | 0.958029i | \(0.592549\pi\) | |||||||
\(30\) | −1.33906 | − | 2.31933i | −0.244479 | − | 0.423449i | ||||
\(31\) | −6.46328 | + | 6.46328i | −1.16084 | + | 1.16084i | −0.176547 | + | 0.984292i | \(0.556493\pi\) |
−0.984292 | + | 0.176547i | \(0.943507\pi\) | |||||||
\(32\) | −1.15764 | + | 4.32037i | −0.204644 | + | 0.763740i | ||||
\(33\) | 0.497633 | + | 3.27908i | 0.0866267 | + | 0.570814i | ||||
\(34\) | −0.334358 | − | 0.334358i | −0.0573419 | − | 0.0573419i | ||||
\(35\) | 0.256742 | − | 0.148230i | 0.0433973 | − | 0.0250554i | ||||
\(36\) | −3.81192 | − | 2.20081i | −0.635320 | − | 0.366802i | ||||
\(37\) | 4.61681 | − | 1.23707i | 0.758999 | − | 0.203373i | 0.141493 | − | 0.989939i | \(-0.454810\pi\) |
0.617506 | + | 0.786566i | \(0.288143\pi\) | |||||||
\(38\) | − | 2.22971i | − | 0.361707i | ||||||
\(39\) | −3.52275 | + | 0.768259i | −0.564092 | + | 0.123020i | ||||
\(40\) | − | 6.43185i | − | 1.01697i | ||||||
\(41\) | −11.4750 | + | 3.07471i | −1.79209 | + | 0.480189i | −0.992699 | − | 0.120620i | \(-0.961512\pi\) |
−0.799392 | + | 0.600810i | \(0.794845\pi\) | |||||||
\(42\) | 0.354319 | − | 0.613699i | 0.0546727 | − | 0.0946958i | ||||
\(43\) | −1.00862 | − | 1.74698i | −0.153813 | − | 0.266412i | 0.778813 | − | 0.627256i | \(-0.215822\pi\) |
−0.932626 | + | 0.360844i | \(0.882489\pi\) | |||||||
\(44\) | −5.31970 | + | 13.5948i | −0.801975 | + | 2.04949i | ||||
\(45\) | 1.02242 | + | 0.273957i | 0.152414 | + | 0.0408391i | ||||
\(46\) | 5.47431 | + | 1.46684i | 0.807143 | + | 0.216273i | ||||
\(47\) | −2.49262 | − | 2.49262i | −0.363585 | − | 0.363585i | 0.501546 | − | 0.865131i | \(-0.332765\pi\) |
−0.865131 | + | 0.501546i | \(0.832765\pi\) | |||||||
\(48\) | −3.28552 | − | 5.69069i | −0.474224 | − | 0.821380i | ||||
\(49\) | −5.99424 | − | 3.46078i | −0.856320 | − | 0.494397i | ||||
\(50\) | −2.54055 | − | 9.48148i | −0.359289 | − | 1.34088i | ||||
\(51\) | 0.186888 | 0.0261695 | ||||||||
\(52\) | −15.1192 | − | 4.82437i | −2.09666 | − | 0.669020i | ||||
\(53\) | −10.1750 | −1.39765 | −0.698824 | − | 0.715294i | \(-0.746293\pi\) | ||||
−0.698824 | + | 0.715294i | \(0.746293\pi\) | |||||||
\(54\) | 2.44393 | − | 0.654849i | 0.332577 | − | 0.0891137i | ||||
\(55\) | 0.389537 | − | 3.48893i | 0.0525251 | − | 0.470448i | ||||
\(56\) | 1.47387 | − | 0.850942i | 0.196955 | − | 0.113712i | ||||
\(57\) | 0.623145 | + | 0.623145i | 0.0825375 | + | 0.0825375i | ||||
\(58\) | −6.07376 | − | 1.62746i | −0.797524 | − | 0.213696i | ||||
\(59\) | −0.394865 | + | 1.47366i | −0.0514071 | + | 0.191854i | −0.986854 | − | 0.161613i | \(-0.948330\pi\) |
0.935447 | + | 0.353466i | \(0.114997\pi\) | |||||||
\(60\) | 3.29446 | + | 3.29446i | 0.425313 | + | 0.425313i | ||||
\(61\) | −6.06587 | + | 3.50213i | −0.776655 | + | 0.448402i | −0.835244 | − | 0.549880i | \(-0.814673\pi\) |
0.0585885 | + | 0.998282i | \(0.481340\pi\) | |||||||
\(62\) | 11.5633 | − | 20.0283i | 1.46854 | − | 2.54359i | ||||
\(63\) | 0.0724897 | + | 0.270535i | 0.00913284 | + | 0.0340842i | ||||
\(64\) | 1.82533i | 0.228166i | ||||||||
\(65\) | 3.81221 | + | 0.179598i | 0.472846 | + | 0.0222764i | ||||
\(66\) | −3.36348 | − | 7.68797i | −0.414016 | − | 0.946323i | ||||
\(67\) | 0.153377 | + | 0.572411i | 0.0187380 | + | 0.0699311i | 0.974662 | − | 0.223684i | \(-0.0718083\pi\) |
−0.955924 | + | 0.293615i | \(0.905142\pi\) | |||||||
\(68\) | 0.712401 | + | 0.411305i | 0.0863913 | + | 0.0498781i | ||||
\(69\) | −1.93986 | + | 1.11998i | −0.233532 | + | 0.134830i | ||||
\(70\) | −0.530391 | + | 0.530391i | −0.0633939 | + | 0.0633939i | ||||
\(71\) | 2.46664 | + | 0.660935i | 0.292737 | + | 0.0784386i | 0.402199 | − | 0.915552i | \(-0.368246\pi\) |
−0.109462 | + | 0.993991i | \(0.534913\pi\) | |||||||
\(72\) | 5.86940 | + | 1.57270i | 0.691715 | + | 0.185345i | ||||
\(73\) | −3.86319 | + | 3.86319i | −0.452152 | + | 0.452152i | −0.896068 | − | 0.443916i | \(-0.853589\pi\) |
0.443916 | + | 0.896068i | \(0.353589\pi\) | |||||||
\(74\) | −10.4731 | + | 6.04663i | −1.21747 | + | 0.702906i | ||||
\(75\) | 3.35983 | + | 1.93980i | 0.387960 | + | 0.223989i | ||||
\(76\) | 1.00395 | + | 3.74680i | 0.115161 | + | 0.429787i | ||||
\(77\) | 0.851033 | − | 0.372326i | 0.0969842 | − | 0.0424305i | ||||
\(78\) | 8.10627 | − | 4.18444i | 0.917854 | − | 0.473795i | ||||
\(79\) | 9.45814i | 1.06412i | 0.846706 | + | 0.532062i | \(0.178583\pi\) | ||||
−0.846706 | + | 0.532062i | \(0.821417\pi\) | |||||||
\(80\) | 1.80018 | + | 6.71838i | 0.201267 | + | 0.751137i | ||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 26.0306 | − | 15.0288i | 2.87460 | − | 1.65965i | ||||
\(83\) | −0.0514974 | − | 0.0514974i | −0.00565257 | − | 0.00565257i | 0.704275 | − | 0.709927i | \(-0.251272\pi\) |
−0.709927 | + | 0.704275i | \(0.751272\pi\) | |||||||
\(84\) | −0.319072 | + | 1.19079i | −0.0348136 | + | 0.129926i | ||||
\(85\) | −0.191078 | − | 0.0511993i | −0.0207253 | − | 0.00555334i | ||||
\(86\) | 3.60900 | + | 3.60900i | 0.389168 | + | 0.389168i | ||||
\(87\) | 2.15228 | − | 1.24262i | 0.230749 | − | 0.133223i | ||||
\(88\) | 2.23621 | − | 20.0289i | 0.238380 | − | 2.13508i | ||||
\(89\) | 12.9166 | − | 3.46100i | 1.36916 | − | 0.366866i | 0.501989 | − | 0.864874i | \(-0.332602\pi\) |
0.867172 | + | 0.498009i | \(0.165935\pi\) | |||||||
\(90\) | −2.67813 | −0.282299 | ||||||||
\(91\) | 0.463204 | + | 0.897337i | 0.0485570 | + | 0.0940665i | ||||
\(92\) | −9.85946 | −1.02792 | ||||||||
\(93\) | 2.36572 | + | 8.82900i | 0.245314 | + | 0.915525i | ||||
\(94\) | 7.72407 | + | 4.45949i | 0.796677 | + | 0.459962i | ||||
\(95\) | −0.466402 | − | 0.807831i | −0.0478518 | − | 0.0828818i | ||||
\(96\) | 3.16273 | + | 3.16273i | 0.322795 | + | 0.322795i | ||||
\(97\) | 0.320398 | + | 0.0858504i | 0.0325315 | + | 0.00871679i | 0.275048 | − | 0.961430i | \(-0.411306\pi\) |
−0.242517 | + | 0.970147i | \(0.577973\pi\) | |||||||
\(98\) | 16.9158 | + | 4.53258i | 1.70875 | + | 0.457859i | ||||
\(99\) | 3.08858 | + | 1.20858i | 0.310414 | + | 0.121467i | ||||
\(100\) | 8.53827 | + | 14.7887i | 0.853827 | + | 1.47887i | ||||
\(101\) | 5.60420 | − | 9.70675i | 0.557638 | − | 0.965858i | −0.440055 | − | 0.897971i | \(-0.645041\pi\) |
0.997693 | − | 0.0678870i | \(-0.0216257\pi\) | |||||||
\(102\) | −0.456741 | + | 0.122383i | −0.0452241 | + | 0.0121178i | ||||
\(103\) | 5.68987i | 0.560640i | 0.959907 | + | 0.280320i | \(0.0904406\pi\) | ||||
−0.959907 | + | 0.280320i | \(0.909559\pi\) | |||||||
\(104\) | 21.8847 | + | 1.03101i | 2.14597 | + | 0.101099i | ||||
\(105\) | − | 0.296460i | − | 0.0289315i | ||||||
\(106\) | 24.8671 | − | 6.66311i | 2.41530 | − | 0.647178i | ||||
\(107\) | 13.0485 | + | 7.53358i | 1.26145 | + | 0.728299i | 0.973355 | − | 0.229303i | \(-0.0736445\pi\) |
0.288096 | + | 0.957602i | \(0.406978\pi\) | |||||||
\(108\) | −3.81192 | + | 2.20081i | −0.366802 | + | 0.211773i | ||||
\(109\) | −1.75786 | − | 1.75786i | −0.168373 | − | 0.168373i | 0.617891 | − | 0.786264i | \(-0.287987\pi\) |
−0.786264 | + | 0.617891i | \(0.787987\pi\) | |||||||
\(110\) | 1.33272 | + | 8.78179i | 0.127070 | + | 0.837311i | ||||
\(111\) | 1.23707 | − | 4.61681i | 0.117418 | − | 0.438208i | ||||
\(112\) | −1.30136 | + | 1.30136i | −0.122967 | + | 0.122967i | ||||
\(113\) | −8.16542 | − | 14.1429i | −0.768138 | − | 1.33045i | −0.938572 | − | 0.345084i | \(-0.887850\pi\) |
0.170434 | − | 0.985369i | \(-0.445483\pi\) | |||||||
\(114\) | −1.93099 | − | 1.11486i | −0.180854 | − | 0.104416i | ||||
\(115\) | 2.29018 | − | 0.613653i | 0.213561 | − | 0.0572234i | ||||
\(116\) | 10.9391 | 1.01567 | ||||||||
\(117\) | −1.09604 | + | 3.43492i | −0.101329 | + | 0.317559i | ||||
\(118\) | − | 3.86009i | − | 0.355350i | ||||||
\(119\) | −0.0135474 | − | 0.0505597i | −0.00124189 | − | 0.00463480i | ||||
\(120\) | −5.57015 | − | 3.21593i | −0.508483 | − | 0.293573i | ||||
\(121\) | 2.42604 | − | 10.7291i | 0.220549 | − | 0.975376i | ||||
\(122\) | 12.5312 | − | 12.5312i | 1.13452 | − | 1.13452i | ||||
\(123\) | −3.07471 | + | 11.4750i | −0.277237 | + | 1.03466i | ||||
\(124\) | −10.4130 | + | 38.8619i | −0.935117 | + | 3.48991i | ||||
\(125\) | −6.64607 | − | 6.64607i | −0.594442 | − | 0.594442i | ||||
\(126\) | −0.354319 | − | 0.613699i | −0.0315653 | − | 0.0546727i | ||||
\(127\) | 2.63643 | − | 4.56642i | 0.233945 | − | 0.405205i | −0.725021 | − | 0.688727i | \(-0.758170\pi\) |
0.958966 | + | 0.283523i | \(0.0915031\pi\) | |||||||
\(128\) | −3.51059 | − | 13.1017i | −0.310295 | − | 1.15804i | ||||
\(129\) | −2.01724 | −0.177608 | ||||||||
\(130\) | −9.43438 | + | 2.05750i | −0.827450 | + | 0.180454i | ||||
\(131\) | 18.8707i | 1.64874i | 0.566049 | + | 0.824372i | \(0.308471\pi\) | ||||
−0.566049 | + | 0.824372i | \(0.691529\pi\) | |||||||
\(132\) | 9.11357 | + | 11.4044i | 0.793235 | + | 0.992624i | ||||
\(133\) | 0.123411 | − | 0.213754i | 0.0107011 | − | 0.0185348i | ||||
\(134\) | −0.749686 | − | 1.29849i | −0.0647630 | − | 0.112173i | ||||
\(135\) | 0.748465 | − | 0.748465i | 0.0644176 | − | 0.0644176i | ||||
\(136\) | −1.09692 | − | 0.293919i | −0.0940601 | − | 0.0252033i | ||||
\(137\) | 2.55530 | − | 9.53652i | 0.218314 | − | 0.814760i | −0.766659 | − | 0.642054i | \(-0.778082\pi\) |
0.984973 | − | 0.172706i | \(-0.0552510\pi\) | |||||||
\(138\) | 4.00747 | − | 4.00747i | 0.341139 | − | 0.341139i | ||||
\(139\) | −11.7030 | + | 6.75670i | −0.992632 | + | 0.573096i | −0.906060 | − | 0.423149i | \(-0.860925\pi\) |
−0.0865718 | + | 0.996246i | \(0.527591\pi\) | |||||||
\(140\) | 0.652453 | − | 1.13008i | 0.0551423 | − | 0.0955093i | ||||
\(141\) | −3.40498 | + | 0.912361i | −0.286751 | + | 0.0768346i | ||||
\(142\) | −6.46112 | −0.542205 | ||||||||
\(143\) | 11.8088 | + | 1.88468i | 0.987502 | + | 0.157605i | ||||
\(144\) | −6.57104 | −0.547587 | ||||||||
\(145\) | −2.54097 | + | 0.680850i | −0.211016 | + | 0.0565415i | ||||
\(146\) | 6.91156 | − | 11.9712i | 0.572005 | − | 0.990741i | ||||
\(147\) | −5.99424 | + | 3.46078i | −0.494397 | + | 0.285440i | ||||
\(148\) | 14.8763 | − | 14.8763i | 1.22283 | − | 1.22283i | ||||
\(149\) | −0.366939 | + | 1.36944i | −0.0300608 | + | 0.112189i | −0.979326 | − | 0.202288i | \(-0.935162\pi\) |
0.949265 | + | 0.314477i | \(0.101829\pi\) | |||||||
\(150\) | −9.48148 | − | 2.54055i | −0.774159 | − | 0.207435i | ||||
\(151\) | 11.2855 | − | 11.2855i | 0.918399 | − | 0.918399i | −0.0785141 | − | 0.996913i | \(-0.525018\pi\) |
0.996913 | + | 0.0785141i | \(0.0250176\pi\) | |||||||
\(152\) | −2.67746 | − | 4.63751i | −0.217171 | − | 0.376151i | ||||
\(153\) | 0.0934440 | − | 0.161850i | 0.00755450 | − | 0.0130848i | ||||
\(154\) | −1.83605 | + | 1.46724i | −0.147953 | + | 0.118233i | ||||
\(155\) | − | 9.67507i | − | 0.777120i | ||||||
\(156\) | −11.7376 | + | 10.6815i | −0.939764 | + | 0.855201i | ||||
\(157\) | 5.52193 | 0.440698 | 0.220349 | − | 0.975421i | \(-0.429280\pi\) | ||||
0.220349 | + | 0.975421i | \(0.429280\pi\) | |||||||
\(158\) | −6.19365 | − | 23.1150i | −0.492741 | − | 1.83893i | ||||
\(159\) | −5.08752 | + | 8.81183i | −0.403466 | + | 0.698824i | ||||
\(160\) | −2.36719 | − | 4.10009i | −0.187143 | − | 0.324141i | ||||
\(161\) | 0.443614 | + | 0.443614i | 0.0349617 | + | 0.0349617i | ||||
\(162\) | 0.654849 | − | 2.44393i | 0.0514498 | − | 0.192013i | ||||
\(163\) | −1.09557 | + | 4.08871i | −0.0858115 | + | 0.320253i | −0.995467 | − | 0.0951115i | \(-0.969679\pi\) |
0.909655 | + | 0.415364i | \(0.136346\pi\) | |||||||
\(164\) | −36.9748 | + | 36.9748i | −2.88725 | + | 2.88725i | ||||
\(165\) | −2.82674 | − | 2.08181i | −0.220061 | − | 0.162069i | ||||
\(166\) | 0.159579 | + | 0.0921330i | 0.0123857 | + | 0.00715091i | ||||
\(167\) | −6.12266 | − | 22.8501i | −0.473785 | − | 1.76819i | −0.625979 | − | 0.779840i | \(-0.715300\pi\) |
0.152193 | − | 0.988351i | \(-0.451366\pi\) | |||||||
\(168\) | − | 1.70188i | − | 0.131303i | ||||||
\(169\) | −1.22218 | + | 12.9424i | −0.0940138 | + | 0.995571i | ||||
\(170\) | 0.500510 | 0.0383873 | ||||||||
\(171\) | 0.851231 | − | 0.228087i | 0.0650953 | − | 0.0174422i | ||||
\(172\) | −7.68954 | − | 4.43956i | −0.586322 | − | 0.338513i | ||||
\(173\) | 5.52783 | + | 9.57449i | 0.420273 | + | 0.727935i | 0.995966 | − | 0.0897313i | \(-0.0286008\pi\) |
−0.575693 | + | 0.817666i | \(0.695267\pi\) | |||||||
\(174\) | −4.44630 | + | 4.44630i | −0.337073 | + | 0.337073i | ||||
\(175\) | 0.281231 | − | 1.04957i | 0.0212591 | − | 0.0793399i | ||||
\(176\) | 3.26996 | + | 21.5470i | 0.246483 | + | 1.62416i | ||||
\(177\) | 1.07879 | + | 1.07879i | 0.0810869 | + | 0.0810869i | ||||
\(178\) | −29.3009 | + | 16.9169i | −2.19620 | + | 1.26798i | ||||
\(179\) | 4.12519 | + | 2.38168i | 0.308331 | + | 0.178015i | 0.646179 | − | 0.763185i | \(-0.276366\pi\) |
−0.337848 | + | 0.941201i | \(0.609699\pi\) | |||||||
\(180\) | 4.50032 | − | 1.20586i | 0.335434 | − | 0.0898792i | ||||
\(181\) | − | 19.2838i | − | 1.43335i | −0.697406 | − | 0.716676i | \(-0.745663\pi\) | ||
0.697406 | − | 0.716676i | \(-0.254337\pi\) | |||||||
\(182\) | −1.71966 | − | 1.88970i | −0.127470 | − | 0.140074i | ||||
\(183\) | 7.00426i | 0.517770i | ||||||||
\(184\) | 13.1472 | − | 3.52279i | 0.969226 | − | 0.259703i | ||||
\(185\) | −2.52962 | + | 4.38142i | −0.185981 | + | 0.322129i | ||||
\(186\) | −11.5633 | − | 20.0283i | −0.847865 | − | 1.46854i | ||||
\(187\) | −0.577219 | − | 0.225868i | −0.0422104 | − | 0.0165171i | ||||
\(188\) | −14.9874 | − | 4.01587i | −1.09307 | − | 0.292887i | ||||
\(189\) | 0.270535 | + | 0.0724897i | 0.0196785 | + | 0.00527285i | ||||
\(190\) | 1.66886 | + | 1.66886i | 0.121072 | + | 0.121072i | ||||
\(191\) | −7.30126 | − | 12.6461i | −0.528300 | − | 0.915043i | −0.999456 | − | 0.0329927i | \(-0.989496\pi\) |
0.471155 | − | 0.882050i | \(-0.343837\pi\) | |||||||
\(192\) | 1.58078 | + | 0.912664i | 0.114083 | + | 0.0658659i | ||||
\(193\) | −4.24728 | − | 15.8511i | −0.305726 | − | 1.14098i | −0.932319 | − | 0.361638i | \(-0.882218\pi\) |
0.626593 | − | 0.779347i | \(-0.284449\pi\) | |||||||
\(194\) | −0.839250 | −0.0602546 | ||||||||
\(195\) | 2.06164 | − | 3.21167i | 0.147637 | − | 0.229992i | ||||
\(196\) | −30.4661 | −2.17615 | ||||||||
\(197\) | −4.04885 | + | 1.08489i | −0.288469 | + | 0.0772950i | −0.400152 | − | 0.916449i | \(-0.631043\pi\) |
0.111683 | + | 0.993744i | \(0.464376\pi\) | |||||||
\(198\) | −8.33972 | − | 0.931123i | −0.592678 | − | 0.0661720i | ||||
\(199\) | 10.8005 | − | 6.23568i | 0.765628 | − | 0.442036i | −0.0656848 | − | 0.997840i | \(-0.520923\pi\) |
0.831313 | + | 0.555805i | \(0.187590\pi\) | |||||||
\(200\) | −16.6695 | − | 16.6695i | −1.17871 | − | 1.17871i | ||||
\(201\) | 0.572411 | + | 0.153377i | 0.0403748 | + | 0.0108184i | ||||
\(202\) | −7.33981 | + | 27.3925i | −0.516427 | + | 1.92733i | ||||
\(203\) | −0.492191 | − | 0.492191i | −0.0345451 | − | 0.0345451i | ||||
\(204\) | 0.712401 | − | 0.411305i | 0.0498781 | − | 0.0287971i | ||||
\(205\) | 6.28730 | − | 10.8899i | 0.439124 | − | 0.760586i | ||||
\(206\) | −3.72601 | − | 13.9057i | −0.259603 | − | 0.968853i | ||||
\(207\) | 2.23996i | 0.155688i | ||||||||
\(208\) | −23.1481 | + | 5.04826i | −1.60503 | + | 0.350034i | ||||
\(209\) | −1.17152 | − | 2.67775i | −0.0810354 | − | 0.185224i | ||||
\(210\) | 0.194137 | + | 0.724528i | 0.0133967 | + | 0.0499972i | ||||
\(211\) | 20.4019 | + | 11.7790i | 1.40452 | + | 0.810902i | 0.994853 | − | 0.101331i | \(-0.0323101\pi\) |
0.409671 | + | 0.912233i | \(0.365643\pi\) | |||||||
\(212\) | −38.7864 | + | 22.3933i | −2.66386 | + | 1.53798i | ||||
\(213\) | 1.80571 | − | 1.80571i | 0.123725 | − | 0.123725i | ||||
\(214\) | −36.8231 | − | 9.86672i | −2.51718 | − | 0.674475i | ||||
\(215\) | 2.06247 | + | 0.552636i | 0.140659 | + | 0.0376895i | ||||
\(216\) | 4.29670 | − | 4.29670i | 0.292353 | − | 0.292353i | ||||
\(217\) | 2.21706 | − | 1.28002i | 0.150504 | − | 0.0868936i | ||||
\(218\) | 5.44723 | + | 3.14496i | 0.368933 | + | 0.213004i | ||||
\(219\) | 1.41403 | + | 5.27721i | 0.0955510 | + | 0.356601i | ||||
\(220\) | −6.19360 | − | 14.1568i | −0.417573 | − | 0.954452i | ||||
\(221\) | 0.204837 | − | 0.641945i | 0.0137788 | − | 0.0431819i | ||||
\(222\) | 12.0933i | 0.811646i | ||||||||
\(223\) | −2.00040 | − | 7.46560i | −0.133957 | − | 0.499933i | 0.866043 | − | 0.499969i | \(-0.166655\pi\) |
−1.00000 | 3.56387e-5i | \(0.999989\pi\) | ||||||||
\(224\) | 0.626364 | − | 1.08489i | 0.0418507 | − | 0.0724875i | ||||
\(225\) | 3.35983 | − | 1.93980i | 0.223989 | − | 0.129320i | ||||
\(226\) | 29.2172 | + | 29.2172i | 1.94350 | + | 1.94350i | ||||
\(227\) | −1.03567 | + | 3.86518i | −0.0687400 | + | 0.256541i | −0.991741 | − | 0.128256i | \(-0.959062\pi\) |
0.923001 | + | 0.384797i | \(0.125729\pi\) | |||||||
\(228\) | 3.74680 | + | 1.00395i | 0.248138 | + | 0.0664883i | ||||
\(229\) | 13.2463 | + | 13.2463i | 0.875341 | + | 0.875341i | 0.993048 | − | 0.117708i | \(-0.0375545\pi\) |
−0.117708 | + | 0.993048i | \(0.537555\pi\) | |||||||
\(230\) | −5.19520 | + | 2.99945i | −0.342561 | + | 0.197778i | ||||
\(231\) | 0.103072 | − | 0.923179i | 0.00678166 | − | 0.0607407i | ||||
\(232\) | −14.5869 | + | 3.90855i | −0.957677 | + | 0.256609i | ||||
\(233\) | 18.6734 | 1.22334 | 0.611669 | − | 0.791114i | \(-0.290498\pi\) | ||||
0.611669 | + | 0.791114i | \(0.290498\pi\) | |||||||
\(234\) | 0.429299 | − | 9.11245i | 0.0280641 | − | 0.595700i | ||||
\(235\) | 3.73127 | 0.243401 | ||||||||
\(236\) | 1.73805 | + | 6.48648i | 0.113137 | + | 0.422234i | ||||
\(237\) | 8.19099 | + | 4.72907i | 0.532062 | + | 0.307186i | ||||
\(238\) | 0.0662180 | + | 0.114693i | 0.00429228 | + | 0.00743444i | ||||
\(239\) | 6.02314 | + | 6.02314i | 0.389604 | + | 0.389604i | 0.874546 | − | 0.484942i | \(-0.161159\pi\) |
−0.484942 | + | 0.874546i | \(0.661159\pi\) | |||||||
\(240\) | 6.71838 | + | 1.80018i | 0.433669 | + | 0.116201i | ||||
\(241\) | −13.9338 | − | 3.73354i | −0.897553 | − | 0.240499i | −0.219588 | − | 0.975593i | \(-0.570471\pi\) |
−0.677965 | + | 0.735094i | \(0.737138\pi\) | |||||||
\(242\) | 1.09689 | + | 27.8099i | 0.0705108 | + | 1.78769i | ||||
\(243\) | 0.500000 | + | 0.866025i | 0.0320750 | + | 0.0555556i | ||||
\(244\) | −15.4151 | + | 26.6997i | −0.986848 | + | 1.70927i | ||||
\(245\) | 7.07675 | − | 1.89621i | 0.452117 | − | 0.121144i | ||||
\(246\) | − | 30.0575i | − | 1.91640i | ||||||
\(247\) | 2.82345 | − | 1.45746i | 0.179652 | − | 0.0927359i | ||||
\(248\) | − | 55.5415i | − | 3.52689i | ||||||
\(249\) | −0.0703468 | + | 0.0188494i | −0.00445804 | + | 0.00119453i | ||||
\(250\) | 20.5947 | + | 11.8904i | 1.30252 | + | 0.752012i | ||||
\(251\) | −20.2960 | + | 11.7179i | −1.28107 | + | 0.739629i | −0.977045 | − | 0.213034i | \(-0.931665\pi\) |
−0.304029 | + | 0.952663i | \(0.598332\pi\) | |||||||
\(252\) | 0.871721 | + | 0.871721i | 0.0549133 | + | 0.0549133i | ||||
\(253\) | 7.34501 | − | 1.11468i | 0.461777 | − | 0.0700792i | ||||
\(254\) | −3.45292 | + | 12.8865i | −0.216656 | + | 0.808570i | ||||
\(255\) | −0.139879 | + | 0.139879i | −0.00875956 | + | 0.00875956i | ||||
\(256\) | 15.3340 | + | 26.5592i | 0.958372 | + | 1.65995i | ||||
\(257\) | 22.2621 | + | 12.8530i | 1.38867 | + | 0.801750i | 0.993166 | − | 0.116713i | \(-0.0372359\pi\) |
0.395506 | + | 0.918463i | \(0.370569\pi\) | |||||||
\(258\) | 4.92999 | − | 1.32099i | 0.306927 | − | 0.0822410i | ||||
\(259\) | −1.33868 | −0.0831818 | ||||||||
\(260\) | 14.9271 | − | 7.70534i | 0.925738 | − | 0.477865i | ||||
\(261\) | − | 2.48524i | − | 0.153833i | ||||||
\(262\) | −12.3575 | − | 46.1188i | −0.763448 | − | 2.84923i | ||||
\(263\) | −19.9874 | − | 11.5397i | −1.23248 | − | 0.711571i | −0.264931 | − | 0.964267i | \(-0.585349\pi\) |
−0.967546 | + | 0.252697i | \(0.918682\pi\) | |||||||
\(264\) | −16.2274 | − | 11.9510i | −0.998727 | − | 0.735536i | ||||
\(265\) | 7.61565 | − | 7.61565i | 0.467826 | − | 0.467826i | ||||
\(266\) | −0.161631 | + | 0.603216i | −0.00991024 | + | 0.0369855i | ||||
\(267\) | 3.46100 | − | 12.9166i | 0.211810 | − | 0.790485i | ||||
\(268\) | 1.84443 | + | 1.84443i | 0.112666 | + | 0.112666i | ||||
\(269\) | 10.6666 | + | 18.4751i | 0.650355 | + | 1.12645i | 0.983037 | + | 0.183409i | \(0.0587132\pi\) |
−0.332682 | + | 0.943039i | \(0.607953\pi\) | |||||||
\(270\) | −1.33906 | + | 2.31933i | −0.0814928 | + | 0.141150i | ||||
\(271\) | 5.11203 | + | 19.0784i | 0.310534 | + | 1.15893i | 0.928076 | + | 0.372390i | \(0.121462\pi\) |
−0.617542 | + | 0.786538i | \(0.711872\pi\) | |||||||
\(272\) | 1.22805 | 0.0744614 | ||||||||
\(273\) | 1.00872 | + | 0.0475220i | 0.0610504 | + | 0.00287616i | ||||
\(274\) | 24.9799i | 1.50909i | ||||||||
\(275\) | −8.03272 | − | 10.0519i | −0.484391 | − | 0.606149i | ||||
\(276\) | −4.92973 | + | 8.53854i | −0.296735 | + | 0.513960i | ||||
\(277\) | −14.4632 | − | 25.0511i | −0.869012 | − | 1.50517i | −0.863007 | − | 0.505192i | \(-0.831422\pi\) |
−0.00600516 | − | 0.999982i | \(-0.501912\pi\) | |||||||
\(278\) | 24.1766 | − | 24.1766i | 1.45002 | − | 1.45002i | ||||
\(279\) | 8.82900 | + | 2.36572i | 0.528579 | + | 0.141632i | ||||
\(280\) | −0.466243 | + | 1.74004i | −0.0278633 | + | 0.103987i | ||||
\(281\) | 7.57512 | − | 7.57512i | 0.451894 | − | 0.451894i | −0.444089 | − | 0.895983i | \(-0.646473\pi\) |
0.895983 | + | 0.444089i | \(0.146473\pi\) | |||||||
\(282\) | 7.72407 | − | 4.45949i | 0.459962 | − | 0.265559i | ||||
\(283\) | −6.39383 | + | 11.0744i | −0.380074 | + | 0.658307i | −0.991072 | − | 0.133325i | \(-0.957435\pi\) |
0.610999 | + | 0.791632i | \(0.290768\pi\) | |||||||
\(284\) | 10.8572 | − | 2.90919i | 0.644258 | − | 0.172628i | ||||
\(285\) | −0.932803 | −0.0552545 | ||||||||
\(286\) | −30.0941 | + | 3.12695i | −1.77950 | + | 0.184900i | ||||
\(287\) | 3.32727 | 0.196403 | ||||||||
\(288\) | 4.32037 | − | 1.15764i | 0.254580 | − | 0.0682145i | ||||
\(289\) | 8.48254 | − | 14.6922i | 0.498973 | − | 0.864246i | ||||
\(290\) | 5.76409 | − | 3.32790i | 0.338479 | − | 0.195421i | ||||
\(291\) | 0.234548 | − | 0.234548i | 0.0137494 | − | 0.0137494i | ||||
\(292\) | −6.22401 | + | 23.2283i | −0.364232 | + | 1.35933i | ||||
\(293\) | 9.11447 | + | 2.44222i | 0.532473 | + | 0.142676i | 0.515030 | − | 0.857172i | \(-0.327781\pi\) |
0.0174430 | + | 0.999848i | \(0.494447\pi\) | |||||||
\(294\) | 12.3832 | − | 12.3832i | 0.722204 | − | 0.722204i | ||||
\(295\) | −0.807437 | − | 1.39852i | −0.0470108 | − | 0.0814251i | ||||
\(296\) | −14.5217 | + | 25.1524i | −0.844058 | + | 1.46195i | ||||
\(297\) | 2.59095 | − | 2.07050i | 0.150342 | − | 0.120143i | ||||
\(298\) | − | 3.58709i | − | 0.207795i | ||||||
\(299\) | 1.72087 | + | 7.89082i | 0.0995205 | + | 0.456338i | ||||
\(300\) | 17.0765 | 0.985915 | ||||||||
\(301\) | 0.146229 | + | 0.545733i | 0.00842849 | + | 0.0314555i | ||||
\(302\) | −20.1906 | + | 34.9712i | −1.16184 | + | 2.01237i | ||||
\(303\) | −5.60420 | − | 9.70675i | −0.321953 | − | 0.557638i | ||||
\(304\) | 4.09471 | + | 4.09471i | 0.234848 | + | 0.234848i | ||||
\(305\) | 1.91887 | − | 7.16131i | 0.109874 | − | 0.410055i | ||||
\(306\) | −0.122383 | + | 0.456741i | −0.00699619 | + | 0.0261101i | ||||
\(307\) | −17.6330 | + | 17.6330i | −1.00637 | + | 1.00637i | −0.00638873 | + | 0.999980i | \(0.502034\pi\) |
−0.999980 | + | 0.00638873i | \(0.997966\pi\) | |||||||
\(308\) | 2.42465 | − | 3.29224i | 0.138157 | − | 0.187593i | ||||
\(309\) | 4.92758 | + | 2.84494i | 0.280320 | + | 0.161843i | ||||
\(310\) | 6.33571 | + | 23.6452i | 0.359844 | + | 1.34296i | ||||
\(311\) | − | 5.23394i | − | 0.296789i | −0.988928 | − | 0.148395i | \(-0.952589\pi\) | ||
0.988928 | − | 0.148395i | \(-0.0474106\pi\) | |||||||
\(312\) | 11.8352 | − | 18.4372i | 0.670038 | − | 1.04380i | ||||
\(313\) | −19.1637 | −1.08320 | −0.541599 | − | 0.840637i | \(-0.682181\pi\) | ||||
−0.541599 | + | 0.840637i | \(0.682181\pi\) | |||||||
\(314\) | −13.4952 | + | 3.61603i | −0.761579 | + | 0.204064i | ||||
\(315\) | −0.256742 | − | 0.148230i | −0.0144658 | − | 0.00835181i | ||||
\(316\) | 20.8156 | + | 36.0536i | 1.17097 | + | 2.02818i | ||||
\(317\) | −12.9300 | + | 12.9300i | −0.726223 | + | 0.726223i | −0.969865 | − | 0.243642i | \(-0.921658\pi\) |
0.243642 | + | 0.969865i | \(0.421658\pi\) | |||||||
\(318\) | 6.66311 | − | 24.8671i | 0.373649 | − | 1.39448i | ||||
\(319\) | −8.14931 | + | 1.23674i | −0.456274 | + | 0.0692441i | ||||
\(320\) | −1.36619 | − | 1.36619i | −0.0763726 | − | 0.0763726i | ||||
\(321\) | 13.0485 | − | 7.53358i | 0.728299 | − | 0.420484i | ||||
\(322\) | −1.37466 | − | 0.793661i | −0.0766069 | − | 0.0442290i | ||||
\(323\) | −0.159085 | + | 0.0426267i | −0.00885172 | + | 0.00237181i | ||||
\(324\) | 4.40162i | 0.244535i | ||||||||
\(325\) | 10.3456 | − | 9.41466i | 0.573870 | − | 0.522231i | ||||
\(326\) | − | 10.7100i | − | 0.593170i | ||||||
\(327\) | −2.40128 | + | 0.643422i | −0.132791 | + | 0.0355813i | ||||
\(328\) | 36.0934 | − | 62.5156i | 1.99293 | − | 3.45185i | ||||
\(329\) | 0.493651 | + | 0.855029i | 0.0272159 | + | 0.0471393i | ||||
\(330\) | 8.27162 | + | 3.23672i | 0.455338 | + | 0.178176i | ||||
\(331\) | −19.3111 | − | 5.17440i | −1.06144 | − | 0.284411i | −0.314466 | − | 0.949269i | \(-0.601825\pi\) |
−0.746970 | + | 0.664858i | \(0.768492\pi\) | |||||||
\(332\) | −0.309640 | − | 0.0829678i | −0.0169937 | − | 0.00455345i | ||||
\(333\) | −3.37974 | − | 3.37974i | −0.185209 | − | 0.185209i | ||||
\(334\) | 29.9267 | + | 51.8346i | 1.63752 | + | 2.83626i | ||||
\(335\) | −0.543227 | − | 0.313632i | −0.0296796 | − | 0.0171356i | ||||
\(336\) | 0.476333 | + | 1.77770i | 0.0259861 | + | 0.0969813i | ||||
\(337\) | −34.4099 | −1.87443 | −0.937214 | − | 0.348755i | \(-0.886605\pi\) | ||||
−0.937214 | + | 0.348755i | \(0.886605\pi\) | |||||||
\(338\) | −5.48841 | − | 32.4307i | −0.298530 | − | 1.76400i | ||||
\(339\) | −16.3308 | −0.886969 | ||||||||
\(340\) | −0.841055 | + | 0.225360i | −0.0456126 | + | 0.0122219i | ||||
\(341\) | 3.36380 | − | 30.1283i | 0.182160 | − | 1.63154i | ||||
\(342\) | −1.93099 | + | 1.11486i | −0.104416 | + | 0.0602845i | ||||
\(343\) | 2.75710 | + | 2.75710i | 0.148869 | + | 0.148869i | ||||
\(344\) | 11.8400 | + | 3.17251i | 0.638368 | + | 0.171050i | ||||
\(345\) | 0.613653 | − | 2.29018i | 0.0330380 | − | 0.123299i | ||||
\(346\) | −19.7795 | − | 19.7795i | −1.06335 | − | 1.06335i | ||||
\(347\) | 4.21522 | − | 2.43366i | 0.226285 | − | 0.130646i | −0.382572 | − | 0.923926i | \(-0.624962\pi\) |
0.608857 | + | 0.793280i | \(0.291628\pi\) | |||||||
\(348\) | 5.46956 | − | 9.47355i | 0.293199 | − | 0.507835i | ||||
\(349\) | −6.78712 | − | 25.3299i | −0.363306 | − | 1.35588i | −0.869702 | − | 0.493576i | \(-0.835689\pi\) |
0.506396 | − | 0.862301i | \(-0.330977\pi\) | |||||||
\(350\) | 2.74924i | 0.146953i | ||||||||
\(351\) | 2.42671 | + | 2.66666i | 0.129528 | + | 0.142336i | ||||
\(352\) | −5.94594 | − | 13.5907i | −0.316920 | − | 0.724389i | ||||
\(353\) | 4.90537 | + | 18.3071i | 0.261086 | + | 0.974388i | 0.964602 | + | 0.263708i | \(0.0849457\pi\) |
−0.703516 | + | 0.710679i | \(0.748388\pi\) | |||||||
\(354\) | −3.34294 | − | 1.93005i | −0.177675 | − | 0.102581i | ||||
\(355\) | −2.34088 | + | 1.35151i | −0.124241 | + | 0.0717306i | ||||
\(356\) | 41.6201 | − | 41.6201i | 2.20586 | − | 2.20586i | ||||
\(357\) | −0.0505597 | − | 0.0135474i | −0.00267590 | − | 0.000717007i | ||||
\(358\) | −11.6413 | − | 3.11928i | −0.615263 | − | 0.164859i | ||||
\(359\) | −8.76688 | + | 8.76688i | −0.462698 | + | 0.462698i | −0.899539 | − | 0.436841i | \(-0.856097\pi\) |
0.436841 | + | 0.899539i | \(0.356097\pi\) | |||||||
\(360\) | −5.57015 | + | 3.21593i | −0.293573 | + | 0.169494i | ||||
\(361\) | 15.7819 | + | 9.11169i | 0.830627 | + | 0.479563i | ||||
\(362\) | 12.6280 | + | 47.1282i | 0.663711 | + | 2.47700i | ||||
\(363\) | −8.07868 | − | 7.46558i | −0.424021 | − | 0.391841i | ||||
\(364\) | 3.74057 | + | 2.40115i | 0.196059 | + | 0.125854i | ||||
\(365\) | − | 5.78292i | − | 0.302692i | ||||||
\(366\) | −4.58674 | − | 17.1179i | −0.239753 | − | 0.894769i | ||||
\(367\) | −14.1338 | + | 24.4805i | −0.737779 | + | 1.27787i | 0.215714 | + | 0.976457i | \(0.430792\pi\) |
−0.953493 | + | 0.301414i | \(0.902541\pi\) | |||||||
\(368\) | −12.7469 | + | 7.35944i | −0.664479 | + | 0.383637i | ||||
\(369\) | 8.40027 | + | 8.40027i | 0.437301 | + | 0.437301i | ||||
\(370\) | 3.31303 | − | 12.3644i | 0.172236 | − | 0.642795i | ||||
\(371\) | 2.75270 | + | 0.737584i | 0.142913 | + | 0.0382935i | ||||
\(372\) | 28.4489 | + | 28.4489i | 1.47501 | + | 1.47501i | ||||
\(373\) | 20.9884 | − | 12.1177i | 1.08674 | − | 0.627429i | 0.154033 | − | 0.988066i | \(-0.450774\pi\) |
0.932706 | + | 0.360637i | \(0.117441\pi\) | |||||||
\(374\) | 1.55859 | + | 0.174016i | 0.0805929 | + | 0.00899813i | ||||
\(375\) | −9.07870 | + | 2.43263i | −0.468822 | + | 0.125620i | ||||
\(376\) | 21.4200 | 1.10465 | ||||||||
\(377\) | −1.90931 | − | 8.75490i | −0.0983346 | − | 0.450900i | ||||
\(378\) | −0.708639 | −0.0364484 | ||||||||
\(379\) | −0.169900 | − | 0.634075i | −0.00872717 | − | 0.0325703i | 0.961425 | − | 0.275067i | \(-0.0887002\pi\) |
−0.970152 | + | 0.242497i | \(0.922034\pi\) | |||||||
\(380\) | −3.55577 | − | 2.05292i | −0.182407 | − | 0.105313i | ||||
\(381\) | −2.63643 | − | 4.56642i | −0.135068 | − | 0.233945i | ||||
\(382\) | 26.1251 | + | 26.1251i | 1.33668 | + | 1.33668i | ||||
\(383\) | 36.0341 | + | 9.65531i | 1.84126 | + | 0.493363i | 0.998958 | − | 0.0456472i | \(-0.0145350\pi\) |
0.842299 | + | 0.539010i | \(0.181202\pi\) | |||||||
\(384\) | −13.1017 | − | 3.51059i | −0.668594 | − | 0.179149i | ||||
\(385\) | −0.358295 | + | 0.915641i | −0.0182604 | + | 0.0466654i | ||||
\(386\) | 20.7601 | + | 35.9576i | 1.05666 | + | 1.83019i | ||||
\(387\) | −1.00862 | + | 1.74698i | −0.0512709 | + | 0.0888039i | ||||
\(388\) | 1.41027 | − | 0.377881i | 0.0715957 | − | 0.0191840i | ||||
\(389\) | 21.7449i | 1.10251i | 0.834337 | + | 0.551254i | \(0.185850\pi\) | ||||
−0.834337 | + | 0.551254i | \(0.814150\pi\) | |||||||
\(390\) | −2.93535 | + | 9.19916i | −0.148637 | + | 0.465818i | ||||
\(391\) | − | 0.418622i | − | 0.0211706i | ||||||
\(392\) | 40.6254 | − | 10.8855i | 2.05189 | − | 0.549803i | ||||
\(393\) | 16.3425 | + | 9.43537i | 0.824372 | + | 0.475951i | ||||
\(394\) | 9.18468 | − | 5.30278i | 0.462717 | − | 0.267150i | ||||
\(395\) | −7.07908 | − | 7.07908i | −0.356187 | − | 0.356187i | ||||
\(396\) | 14.4333 | − | 2.19039i | 0.725299 | − | 0.110071i | ||||
\(397\) | 8.11490 | − | 30.2852i | 0.407275 | − | 1.51997i | −0.392546 | − | 0.919732i | \(-0.628406\pi\) |
0.799821 | − | 0.600239i | \(-0.204928\pi\) | |||||||
\(398\) | −22.3123 | + | 22.3123i | −1.11841 | + | 1.11841i | ||||
\(399\) | −0.123411 | − | 0.213754i | −0.00617827 | − | 0.0107011i | ||||
\(400\) | 22.0776 | + | 12.7465i | 1.10388 | + | 0.637325i | ||||
\(401\) | −26.2470 | + | 7.03286i | −1.31071 | + | 0.351204i | −0.845491 | − | 0.533990i | \(-0.820692\pi\) |
−0.465221 | + | 0.885194i | \(0.654025\pi\) | |||||||
\(402\) | −1.49937 | −0.0747819 | ||||||||
\(403\) | 32.9199 | + | 1.55089i | 1.63986 | + | 0.0772556i | ||||
\(404\) | − | 49.3351i | − | 2.45451i | ||||||
\(405\) | −0.273957 | − | 1.02242i | −0.0136130 | − | 0.0508045i | ||||
\(406\) | 1.52519 | + | 0.880570i | 0.0756940 | + | 0.0437020i | ||||
\(407\) | −9.40056 | + | 12.7643i | −0.465969 | + | 0.632703i | ||||
\(408\) | −0.803001 | + | 0.803001i | −0.0397545 | + | 0.0397545i | ||||
\(409\) | 6.00431 | − | 22.4084i | 0.296894 | − | 1.10802i | −0.642808 | − | 0.766028i | \(-0.722231\pi\) |
0.939702 | − | 0.341996i | \(-0.111103\pi\) | |||||||
\(410\) | −8.23447 | + | 30.7315i | −0.406672 | + | 1.51772i | ||||
\(411\) | −6.98122 | − | 6.98122i | −0.344358 | − | 0.344358i | ||||
\(412\) | 12.5223 | + | 21.6893i | 0.616931 | + | 1.06856i | ||||
\(413\) | 0.213650 | − | 0.370052i | 0.0105130 | − | 0.0182091i | ||||
\(414\) | −1.46684 | − | 5.47431i | −0.0720911 | − | 0.269048i | ||||
\(415\) | 0.0770880 | 0.00378410 | ||||||||
\(416\) | 14.3302 | − | 7.39723i | 0.702596 | − | 0.362679i | ||||
\(417\) | 13.5134i | 0.661754i | ||||||||
\(418\) | 4.61663 | + | 5.77707i | 0.225807 | + | 0.282566i | ||||
\(419\) | −14.6051 | + | 25.2968i | −0.713507 | + | 1.23583i | 0.250026 | + | 0.968239i | \(0.419561\pi\) |
−0.963533 | + | 0.267591i | \(0.913772\pi\) | |||||||
\(420\) | −0.652453 | − | 1.13008i | −0.0318364 | − | 0.0551423i | ||||
\(421\) | −0.263632 | + | 0.263632i | −0.0128487 | + | 0.0128487i | −0.713502 | − | 0.700653i | \(-0.752892\pi\) |
0.700653 | + | 0.713502i | \(0.252892\pi\) | |||||||
\(422\) | −57.5743 | − | 15.4270i | −2.80267 | − | 0.750974i | ||||
\(423\) | −0.912361 | + | 3.40498i | −0.0443605 | + | 0.165556i | ||||
\(424\) | 43.7190 | − | 43.7190i | 2.12318 | − | 2.12318i | ||||
\(425\) | −0.627912 | + | 0.362525i | −0.0304582 | + | 0.0175851i | ||||
\(426\) | −3.23056 | + | 5.59549i | −0.156521 | + | 0.271102i | ||||
\(427\) | 1.89490 | − | 0.507737i | 0.0917006 | − | 0.0245711i | ||||
\(428\) | 66.3200 | 3.20570 | ||||||||
\(429\) | 7.53659 | − | 9.28439i | 0.363870 | − | 0.448254i | ||||
\(430\) | −5.40242 | −0.260528 | ||||||||
\(431\) | −29.6837 | + | 7.95371i | −1.42981 | + | 0.383117i | −0.888954 | − | 0.457997i | \(-0.848567\pi\) |
−0.540858 | + | 0.841114i | \(0.681900\pi\) | |||||||
\(432\) | −3.28552 | + | 5.69069i | −0.158075 | + | 0.273793i | ||||
\(433\) | −18.3422 | + | 10.5899i | −0.881472 | + | 0.508918i | −0.871144 | − | 0.491028i | \(-0.836621\pi\) |
−0.0103286 | + | 0.999947i | \(0.503288\pi\) | |||||||
\(434\) | −4.58013 | + | 4.58013i | −0.219853 | + | 0.219853i | ||||
\(435\) | −0.680850 | + | 2.54097i | −0.0326443 | + | 0.121830i | ||||
\(436\) | −10.5696 | − | 2.83210i | −0.506190 | − | 0.135633i | ||||
\(437\) | 1.39582 | − | 1.39582i | 0.0667711 | − | 0.0667711i | ||||
\(438\) | −6.91156 | − | 11.9712i | −0.330247 | − | 0.572005i | ||||
\(439\) | 10.2325 | − | 17.7231i | 0.488369 | − | 0.845879i | −0.511542 | − | 0.859258i | \(-0.670926\pi\) |
0.999910 | + | 0.0133791i | \(0.00425884\pi\) | |||||||
\(440\) | 13.3172 | + | 16.6646i | 0.634871 | + | 0.794454i | ||||
\(441\) | 6.92156i | 0.329598i | ||||||||
\(442\) | −0.0802307 | + | 1.70301i | −0.00381619 | + | 0.0810038i | ||||
\(443\) | −1.83504 | −0.0871854 | −0.0435927 | − | 0.999049i | \(-0.513880\pi\) | ||||
−0.0435927 | + | 0.999049i | \(0.513880\pi\) | |||||||
\(444\) | −5.44512 | − | 20.3215i | −0.258414 | − | 0.964414i | ||||
\(445\) | −7.07721 | + | 12.2581i | −0.335492 | + | 0.581089i | ||||
\(446\) | 9.77768 | + | 16.9354i | 0.462987 | + | 0.801916i | ||||
\(447\) | 1.00250 | + | 1.00250i | 0.0474165 | + | 0.0474165i | ||||
\(448\) | 0.132317 | − | 0.493815i | 0.00625141 | − | 0.0233306i | ||||
\(449\) | −6.31978 | + | 23.5857i | −0.298249 | + | 1.11308i | 0.640354 | + | 0.768080i | \(0.278788\pi\) |
−0.938603 | + | 0.345000i | \(0.887879\pi\) | |||||||
\(450\) | −6.94092 | + | 6.94092i | −0.327198 | + | 0.327198i | ||||
\(451\) | 23.3649 | − | 31.7254i | 1.10021 | − | 1.49389i | ||||
\(452\) | −62.2518 | − | 35.9411i | −2.92808 | − | 1.69053i | ||||
\(453\) | −4.13077 | − | 15.4162i | −0.194081 | − | 0.724318i | ||||
\(454\) | − | 10.1244i | − | 0.475164i | ||||||
\(455\) | −1.01832 | − | 0.324933i | −0.0477394 | − | 0.0152331i | ||||
\(456\) | −5.35493 | −0.250768 | ||||||||
\(457\) | −15.4421 | + | 4.13770i | −0.722352 | + | 0.193554i | −0.601221 | − | 0.799083i | \(-0.705319\pi\) |
−0.121131 | + | 0.992637i | \(0.538652\pi\) | |||||||
\(458\) | −41.0474 | − | 23.6987i | −1.91802 | − | 1.10737i | ||||
\(459\) | −0.0934440 | − | 0.161850i | −0.00436159 | − | 0.00755450i | ||||
\(460\) | 7.37946 | − | 7.37946i | 0.344069 | − | 0.344069i | ||||
\(461\) | 9.07241 | − | 33.8587i | 0.422544 | − | 1.57696i | −0.346683 | − | 0.937982i | \(-0.612692\pi\) |
0.769228 | − | 0.638975i | \(-0.220641\pi\) | |||||||
\(462\) | 0.352642 | + | 2.32368i | 0.0164064 | + | 0.108107i | ||||
\(463\) | −8.93284 | − | 8.93284i | −0.415144 | − | 0.415144i | 0.468382 | − | 0.883526i | \(-0.344837\pi\) |
−0.883526 | + | 0.468382i | \(0.844837\pi\) | |||||||
\(464\) | 14.1428 | − | 8.16532i | 0.656561 | − | 0.379066i | ||||
\(465\) | −8.37886 | − | 4.83754i | −0.388560 | − | 0.224335i | ||||
\(466\) | −45.6366 | + | 12.2283i | −2.11407 | + | 0.566465i | ||||
\(467\) | 12.9587i | 0.599658i | 0.953993 | + | 0.299829i | \(0.0969296\pi\) | ||||
−0.953993 | + | 0.299829i | \(0.903070\pi\) | |||||||
\(468\) | 3.38159 | + | 15.5058i | 0.156314 | + | 0.716757i | ||||
\(469\) | − | 0.165976i | − | 0.00766404i | ||||||
\(470\) | −9.11897 | + | 2.44342i | −0.420627 | + | 0.112707i | ||||
\(471\) | 2.76096 | − | 4.78213i | 0.127219 | − | 0.220349i | ||||
\(472\) | −4.63524 | − | 8.02848i | −0.213354 | − | 0.369541i | ||||
\(473\) | 6.23040 | + | 2.43799i | 0.286474 | + | 0.112099i | ||||
\(474\) | −23.1150 | − | 6.19365i | −1.06171 | − | 0.284484i | ||||
\(475\) | −3.30244 | − | 0.884886i | −0.151526 | − | 0.0406013i | ||||
\(476\) | −0.162914 | − | 0.162914i | −0.00746716 | − | 0.00746716i | ||||
\(477\) | 5.08752 | + | 8.81183i | 0.232941 | + | 0.403466i | ||||
\(478\) | −18.6644 | − | 10.7759i | −0.853689 | − | 0.492877i | ||||
\(479\) | −5.46407 | − | 20.3922i | −0.249660 | − | 0.931742i | −0.970984 | − | 0.239145i | \(-0.923133\pi\) |
0.721324 | − | 0.692597i | \(-0.243534\pi\) | |||||||
\(480\) | −4.73438 | −0.216094 | ||||||||
\(481\) | −14.5025 | − | 9.30946i | −0.661257 | − | 0.424475i | ||||
\(482\) | 36.4981 | 1.66244 | ||||||||
\(483\) | 0.605988 | − | 0.162374i | 0.0275734 | − | 0.00738827i | ||||
\(484\) | −14.3649 | − | 46.2378i | −0.652952 | − | 2.10172i | ||||
\(485\) | −0.304063 | + | 0.175551i | −0.0138068 | + | 0.00797134i | ||||
\(486\) | −1.78908 | − | 1.78908i | −0.0811544 | − | 0.0811544i | ||||
\(487\) | 27.0709 | + | 7.25362i | 1.22670 | + | 0.328693i | 0.813293 | − | 0.581855i | \(-0.197673\pi\) |
0.413405 | + | 0.910547i | \(0.364339\pi\) | |||||||
\(488\) | 11.0156 | − | 41.1108i | 0.498653 | − | 1.86100i | ||||
\(489\) | 2.99315 | + | 2.99315i | 0.135355 | + | 0.135355i | ||||
\(490\) | −16.0534 | + | 9.26841i | −0.725217 | + | 0.418704i | ||||
\(491\) | −0.572806 | + | 0.992130i | −0.0258504 | + | 0.0447742i | −0.878661 | − | 0.477446i | \(-0.841563\pi\) |
0.852811 | + | 0.522220i | \(0.174896\pi\) | |||||||
\(492\) | 13.5337 | + | 50.5085i | 0.610147 | + | 2.27710i | ||||
\(493\) | 0.464462i | 0.0209183i | ||||||||
\(494\) | −5.94589 | + | 5.41086i | −0.267518 | + | 0.243446i | ||||
\(495\) | −3.21627 | + | 1.40712i | −0.144561 | + | 0.0632452i | ||||
\(496\) | 15.5453 | + | 58.0157i | 0.698003 | + | 2.60498i | ||||
\(497\) | −0.619403 | − | 0.357612i | −0.0277840 | − | 0.0160411i | ||||
\(498\) | 0.159579 | − | 0.0921330i | 0.00715091 | − | 0.00412858i | ||||
\(499\) | −21.9819 | + | 21.9819i | −0.984046 | + | 0.984046i | −0.999875 | − | 0.0158290i | \(-0.994961\pi\) |
0.0158290 | + | 0.999875i | \(0.494961\pi\) | |||||||
\(500\) | −39.9610 | − | 10.7075i | −1.78711 | − | 0.478855i | ||||
\(501\) | −22.8501 | − | 6.12266i | −1.02087 | − | 0.273540i | ||||
\(502\) | 41.9286 | − | 41.9286i | 1.87137 | − | 1.87137i | ||||
\(503\) | −25.6533 | + | 14.8109i | −1.14382 | + | 0.660387i | −0.947375 | − | 0.320127i | \(-0.896274\pi\) |
−0.196449 | + | 0.980514i | \(0.562941\pi\) | |||||||
\(504\) | −1.47387 | − | 0.850942i | −0.0656516 | − | 0.0379040i | ||||
\(505\) | 3.07062 | + | 11.4597i | 0.136641 | + | 0.509950i | ||||
\(506\) | −17.2207 | + | 7.53407i | −0.765555 | + | 0.334930i | ||||
\(507\) | 10.5974 | + | 7.52965i | 0.470646 | + | 0.334403i | ||||
\(508\) | − | 23.2091i | − | 1.02974i | ||||||
\(509\) | −2.18354 | − | 8.14910i | −0.0967839 | − | 0.361202i | 0.900500 | − | 0.434856i | \(-0.143201\pi\) |
−0.997284 | + | 0.0736536i | \(0.976534\pi\) | |||||||
\(510\) | 0.250255 | − | 0.433454i | 0.0110815 | − | 0.0191937i | ||||
\(511\) | 1.32517 | − | 0.765087i | 0.0586220 | − | 0.0338455i | ||||
\(512\) | −35.6852 | − | 35.6852i | −1.57708 | − | 1.57708i | ||||
\(513\) | 0.228087 | − | 0.851231i | 0.0100703 | − | 0.0375828i | ||||
\(514\) | −62.8238 | − | 16.8336i | −2.77104 | − | 0.742498i | ||||
\(515\) | −4.25867 | − | 4.25867i | −0.187659 | − | 0.187659i | ||||
\(516\) | −7.68954 | + | 4.43956i | −0.338513 | + | 0.195441i | ||||
\(517\) | 11.6192 | + | 1.29728i | 0.511012 | + | 0.0570541i | ||||
\(518\) | 3.27165 | − | 0.876636i | 0.143748 | − | 0.0385172i | ||||
\(519\) | 11.0557 | 0.485290 | ||||||||
\(520\) | −17.1516 | + | 15.6082i | −0.752147 | + | 0.684466i | ||||
\(521\) | −40.3986 | −1.76989 | −0.884947 | − | 0.465692i | \(-0.845805\pi\) | ||||
−0.884947 | + | 0.465692i | \(0.845805\pi\) | |||||||
\(522\) | 1.62746 | + | 6.07376i | 0.0712320 | + | 0.265841i | ||||
\(523\) | −1.46121 | − | 0.843630i | −0.0638942 | − | 0.0368893i | 0.467713 | − | 0.883881i | \(-0.345078\pi\) |
−0.531607 | + | 0.846991i | \(0.678412\pi\) | |||||||
\(524\) | 41.5309 | + | 71.9337i | 1.81429 | + | 3.14244i | ||||
\(525\) | −0.768337 | − | 0.768337i | −0.0335330 | − | 0.0335330i | ||||
\(526\) | 56.4046 | + | 15.1136i | 2.45936 | + | 0.658983i | ||||
\(527\) | −1.65003 | − | 0.442125i | −0.0718766 | − | 0.0192593i | ||||
\(528\) | 20.2952 | + | 7.94161i | 0.883235 | + | 0.345614i | ||||
\(529\) | −8.99129 | − | 15.5734i | −0.390926 | − | 0.677103i | ||||
\(530\) | −13.6250 | + | 23.5992i | −0.591833 | + | 1.02508i | ||||
\(531\) | 1.47366 | − | 0.394865i | 0.0639512 | − | 0.0171357i | ||||
\(532\) | − | 1.08642i | − | 0.0471021i | ||||||
\(533\) | 36.0456 | + | 23.1385i | 1.56131 | + | 1.00224i | ||||
\(534\) | 33.8338i | 1.46413i | ||||||||
\(535\) | −15.4050 | + | 4.12776i | −0.666016 | + | 0.178459i | ||||
\(536\) | −3.11849 | − | 1.80046i | −0.134698 | − | 0.0777681i | ||||
\(537\) | 4.12519 | − | 2.38168i | 0.178015 | − | 0.102777i | ||||
\(538\) | −38.1669 | − | 38.1669i | −1.64549 | − | 1.64549i | ||||
\(539\) | 22.6963 | − | 3.44439i | 0.977600 | − | 0.148360i | ||||
\(540\) | 1.20586 | − | 4.50032i | 0.0518918 | − | 0.193663i | ||||
\(541\) | 14.9548 | − | 14.9548i | 0.642958 | − | 0.642958i | −0.308323 | − | 0.951282i | \(-0.599768\pi\) |
0.951282 | + | 0.308323i | \(0.0997679\pi\) | |||||||
\(542\) | −24.9869 | − | 43.2786i | −1.07328 | − | 1.85897i | ||||
\(543\) | −16.7002 | − | 9.64189i | −0.716676 | − | 0.413773i | ||||
\(544\) | −0.807424 | + | 0.216349i | −0.0346180 | + | 0.00927587i | ||||
\(545\) | 2.63140 | 0.112717 | ||||||||
\(546\) | −2.49636 | + | 0.544418i | −0.106834 | + | 0.0232990i | ||||
\(547\) | 34.2479i | 1.46434i | 0.681124 | + | 0.732168i | \(0.261491\pi\) | ||||
−0.681124 | + | 0.732168i | \(0.738509\pi\) | |||||||
\(548\) | −11.2475 | − | 41.9762i | −0.480469 | − | 1.79313i | ||||
\(549\) | 6.06587 | + | 3.50213i | 0.258885 | + | 0.149467i | ||||
\(550\) | 26.2139 | + | 19.3058i | 1.11776 | + | 0.823202i | ||||
\(551\) | −1.54867 | + | 1.54867i | −0.0659754 | + | 0.0659754i | ||||
\(552\) | 3.52279 | − | 13.1472i | 0.149940 | − | 0.559583i | ||||
\(553\) | 0.685617 | − | 2.55876i | 0.0291554 | − | 0.108809i | ||||
\(554\) | 51.7519 | + | 51.7519i | 2.19873 | + | 2.19873i | ||||
\(555\) | 2.52962 | + | 4.38142i | 0.107376 | + | 0.185981i | ||||
\(556\) | −29.7405 | + | 51.5120i | −1.26128 | + | 2.18460i | ||||
\(557\) | 3.79872 | + | 14.1770i | 0.160957 | + | 0.600700i | 0.998521 | + | 0.0543610i | \(0.0173122\pi\) |
−0.837564 | + | 0.546339i | \(0.816021\pi\) | |||||||
\(558\) | −23.1267 | −0.979030 | ||||||||
\(559\) | −2.21098 | + | 6.92905i | −0.0935145 | + | 0.293068i | ||||
\(560\) | − | 1.94805i | − | 0.0823202i | ||||||
\(561\) | −0.484217 | + | 0.386952i | −0.0204437 | + | 0.0163371i | ||||
\(562\) | −13.5525 | + | 23.4736i | −0.571678 | + | 0.990175i | ||||
\(563\) | 13.8604 | + | 24.0070i | 0.584147 | + | 1.01177i | 0.994981 | + | 0.100063i | \(0.0319043\pi\) |
−0.410834 | + | 0.911710i | \(0.634762\pi\) | |||||||
\(564\) | −10.9716 | + | 10.9716i | −0.461986 | + | 0.461986i | ||||
\(565\) | 16.6970 | + | 4.47395i | 0.702448 | + | 0.188220i | ||||
\(566\) | 8.37399 | − | 31.2521i | 0.351985 | − | 1.31363i | ||||
\(567\) | 0.198045 | − | 0.198045i | 0.00831713 | − | 0.00831713i | ||||
\(568\) | −13.4383 | + | 7.75858i | −0.563857 | + | 0.325543i | ||||
\(569\) | 1.50257 | − | 2.60253i | 0.0629911 | − | 0.109104i | −0.832810 | − | 0.553559i | \(-0.813269\pi\) |
0.895801 | + | 0.444455i | \(0.146603\pi\) | |||||||
\(570\) | 2.27971 | − | 0.610846i | 0.0954864 | − | 0.0255855i | ||||
\(571\) | 27.1145 | 1.13471 | 0.567354 | − | 0.823474i | \(-0.307967\pi\) | ||||
0.567354 | + | 0.823474i | \(0.307967\pi\) | |||||||
\(572\) | 49.1620 | − | 18.8047i | 2.05557 | − | 0.786264i | ||||
\(573\) | −14.6025 | −0.610029 | ||||||||
\(574\) | −8.13162 | + | 2.17886i | −0.339407 | + | 0.0909438i | ||||
\(575\) | 4.34508 | − | 7.52589i | 0.181202 | − | 0.313851i | ||||
\(576\) | 1.58078 | − | 0.912664i | 0.0658659 | − | 0.0380277i | ||||
\(577\) | 15.0421 | − | 15.0421i | 0.626211 | − | 0.626211i | −0.320902 | − | 0.947113i | \(-0.603986\pi\) |
0.947113 | + | 0.320902i | \(0.103986\pi\) | |||||||
\(578\) | −11.1096 | + | 41.4615i | −0.462097 | + | 1.72457i | ||||
\(579\) | −15.8511 | − | 4.24728i | −0.658748 | − | 0.176511i | ||||
\(580\) | −8.18754 | + | 8.18754i | −0.339969 | + | 0.339969i | ||||
\(581\) | 0.0101988 | + | 0.0176649i | 0.000423119 | + | 0.000732863i | ||||
\(582\) | −0.419625 | + | 0.726812i | −0.0173940 | + | 0.0301273i | ||||
\(583\) | 26.3630 | − | 21.0674i | 1.09184 | − | 0.872524i | ||||
\(584\) | − | 33.1979i | − | 1.37374i | ||||||
\(585\) | −1.75057 | − | 3.39127i | −0.0723771 | − | 0.140212i | ||||
\(586\) | −23.8744 | −0.986243 | ||||||||
\(587\) | 5.36505 | + | 20.0226i | 0.221439 | + | 0.826422i | 0.983800 | + | 0.179270i | \(0.0573735\pi\) |
−0.762361 | + | 0.647152i | \(0.775960\pi\) | |||||||
\(588\) | −15.2330 | + | 26.3844i | −0.628200 | + | 1.08807i | ||||
\(589\) | −4.02756 | − | 6.97593i | −0.165953 | − | 0.287438i | ||||
\(590\) | 2.88914 | + | 2.88914i | 0.118944 | + | 0.118944i | ||||
\(591\) | −1.08489 | + | 4.04885i | −0.0446263 | + | 0.166548i | ||||
\(592\) | 8.12884 | − | 30.3372i | 0.334093 | − | 1.24685i | ||||
\(593\) | −5.93322 | + | 5.93322i | −0.243648 | + | 0.243648i | −0.818358 | − | 0.574709i | \(-0.805115\pi\) |
0.574709 | + | 0.818358i | \(0.305115\pi\) | |||||||
\(594\) | −4.97623 | + | 6.75684i | −0.204177 | + | 0.277237i | ||||
\(595\) | 0.0479820 | + | 0.0277024i | 0.00196707 | + | 0.00113569i | ||||
\(596\) | 1.61513 | + | 6.02774i | 0.0661582 | + | 0.246906i | ||||
\(597\) | − | 12.4714i | − | 0.510419i | ||||||
\(598\) | −9.37299 | − | 18.1577i | −0.383290 | − | 0.742524i | ||||
\(599\) | 23.2576 | 0.950280 | 0.475140 | − | 0.879910i | \(-0.342397\pi\) | ||||
0.475140 | + | 0.879910i | \(0.342397\pi\) | |||||||
\(600\) | −22.7709 | + | 6.10145i | −0.929619 | + | 0.249091i | ||||
\(601\) | 25.8836 | + | 14.9439i | 1.05581 | + | 0.609574i | 0.924271 | − | 0.381737i | \(-0.124674\pi\) |
0.131542 | + | 0.991311i | \(0.458007\pi\) | |||||||
\(602\) | −0.714746 | − | 1.23798i | −0.0291309 | − | 0.0504561i | ||||
\(603\) | 0.419034 | − | 0.419034i | 0.0170644 | − | 0.0170644i | ||||
\(604\) | 18.1821 | − | 67.8565i | 0.739819 | − | 2.76104i | ||||
\(605\) | 6.21457 | + | 9.84618i | 0.252658 | + | 0.400304i | ||||
\(606\) | 20.0527 | + | 20.0527i | 0.814586 | + | 0.814586i | ||||
\(607\) | −5.04566 | + | 2.91311i | −0.204797 | + | 0.118240i | −0.598891 | − | 0.800830i | \(-0.704392\pi\) |
0.394094 | + | 0.919070i | \(0.371058\pi\) | |||||||
\(608\) | −3.41359 | − | 1.97084i | −0.138439 | − | 0.0799280i | ||||
\(609\) | −0.672346 | + | 0.180155i | −0.0272448 | + | 0.00730023i | ||||
\(610\) | 18.7583i | 0.759502i | ||||||||
\(611\) | −0.598115 | + | 12.6958i | −0.0241972 | + | 0.513618i | ||||
\(612\) | − | 0.822610i | − | 0.0332520i | ||||||
\(613\) | −21.5385 | + | 5.77123i | −0.869933 | + | 0.233098i | −0.666059 | − | 0.745899i | \(-0.732020\pi\) |
−0.203874 | + | 0.978997i | \(0.565353\pi\) | |||||||
\(614\) | 31.5469 | − | 54.6408i | 1.27313 | − | 2.20512i | ||||
\(615\) | −6.28730 | − | 10.8899i | −0.253529 | − | 0.439124i | ||||
\(616\) | −2.05686 | + | 5.25641i | −0.0828731 | + | 0.211787i | ||||
\(617\) | 3.03997 | + | 0.814558i | 0.122385 | + | 0.0327929i | 0.319491 | − | 0.947589i | \(-0.396488\pi\) |
−0.197107 | + | 0.980382i | \(0.563155\pi\) | |||||||
\(618\) | −13.9057 | − | 3.72601i | −0.559368 | − | 0.149882i | ||||
\(619\) | 6.76152 | + | 6.76152i | 0.271769 | + | 0.271769i | 0.829812 | − | 0.558043i | \(-0.188448\pi\) |
−0.558043 | + | 0.829812i | \(0.688448\pi\) | |||||||
\(620\) | −21.2930 | − | 36.8806i | −0.855148 | − | 1.48116i | ||||
\(621\) | 1.93986 | + | 1.11998i | 0.0778440 | + | 0.0449433i | ||||
\(622\) | 3.42744 | + | 12.7914i | 0.137428 | + | 0.512888i | ||||
\(623\) | −3.74529 | −0.150052 | ||||||||
\(624\) | −7.20215 | + | 22.5710i | −0.288317 | + | 0.903564i | ||||
\(625\) | −9.44931 | −0.377973 | ||||||||
\(626\) | 46.8349 | − | 12.5494i | 1.87190 | − | 0.501573i | ||||
\(627\) | −2.90476 | − | 0.324314i | −0.116005 | − | 0.0129519i | ||||
\(628\) | 21.0491 | − | 12.1527i | 0.839952 | − | 0.484947i | ||||
\(629\) | 0.631632 | + | 0.631632i | 0.0251848 | + | 0.0251848i | ||||
\(630\) | 0.724528 | + | 0.194137i | 0.0288659 | + | 0.00773459i | ||||
\(631\) | 6.90782 | − | 25.7803i | 0.274996 | − | 1.02630i | −0.680848 | − | 0.732425i | \(-0.738389\pi\) |
0.955844 | − | 0.293874i | \(-0.0949447\pi\) | |||||||
\(632\) | −40.6388 | − | 40.6388i | −1.61652 | − | 1.61652i | ||||
\(633\) | 20.4019 | − | 11.7790i | 0.810902 | − | 0.468175i | ||||
\(634\) | 23.1329 | − | 40.0673i | 0.918725 | − | 1.59128i | ||||
\(635\) | 1.44453 | + | 5.39108i | 0.0573246 | + | 0.213938i | ||||
\(636\) | 44.7867i | 1.77591i | ||||||||
\(637\) | 5.31755 | + | 24.3829i | 0.210689 | + | 0.966087i | ||||
\(638\) | 19.1065 | − | 8.35908i | 0.756433 | − | 0.330939i | ||||
\(639\) | −0.660935 | − | 2.46664i | −0.0261462 | − | 0.0975789i | ||||
\(640\) | 12.4337 | + | 7.17861i | 0.491486 | + | 0.283760i | ||||
\(641\) | 20.0459 | − | 11.5735i | 0.791765 | − | 0.457126i | −0.0488184 | − | 0.998808i | \(-0.515546\pi\) |
0.840584 | + | 0.541682i | \(0.182212\pi\) | |||||||
\(642\) | −26.9564 | + | 26.9564i | −1.06388 | + | 1.06388i | ||||
\(643\) | −38.3344 | − | 10.2717i | −1.51176 | − | 0.405075i | −0.594740 | − | 0.803918i | \(-0.702745\pi\) |
−0.917019 | + | 0.398843i | \(0.869412\pi\) | |||||||
\(644\) | 2.66733 | + | 0.714709i | 0.105108 | + | 0.0281635i | ||||
\(645\) | 1.50983 | − | 1.50983i | 0.0594495 | − | 0.0594495i | ||||
\(646\) | 0.360878 | − | 0.208353i | 0.0141986 | − | 0.00819755i | ||||
\(647\) | −23.0636 | − | 13.3158i | −0.906725 | − | 0.523498i | −0.0273491 | − | 0.999626i | \(-0.508707\pi\) |
−0.879376 | + | 0.476128i | \(0.842040\pi\) | |||||||
\(648\) | −1.57270 | − | 5.86940i | −0.0617815 | − | 0.230572i | ||||
\(649\) | −2.02813 | − | 4.63574i | −0.0796112 | − | 0.181969i | ||||
\(650\) | −19.1187 | + | 29.7836i | −0.749898 | + | 1.16821i | ||||
\(651\) | − | 2.56005i | − | 0.100336i | ||||||
\(652\) | 4.82228 | + | 17.9970i | 0.188855 | + | 0.704816i | ||||
\(653\) | 5.84447 | − | 10.1229i | 0.228712 | − | 0.396140i | −0.728715 | − | 0.684817i | \(-0.759882\pi\) |
0.957427 | + | 0.288677i | \(0.0932153\pi\) | |||||||
\(654\) | 5.44723 | − | 3.14496i | 0.213004 | − | 0.122978i | ||||
\(655\) | −14.1241 | − | 14.1241i | −0.551873 | − | 0.551873i | ||||
\(656\) | −20.2041 | + | 75.4026i | −0.788836 | + | 2.94398i | ||||
\(657\) | 5.27721 | + | 1.41403i | 0.205884 | + | 0.0551664i | ||||
\(658\) | −1.76636 | − | 1.76636i | −0.0688601 | − | 0.0688601i | ||||
\(659\) | 4.96055 | − | 2.86397i | 0.193235 | − | 0.111565i | −0.400261 | − | 0.916401i | \(-0.631080\pi\) |
0.593496 | + | 0.804837i | \(0.297747\pi\) | |||||||
\(660\) | −15.3570 | − | 1.71459i | −0.597769 | − | 0.0667404i | ||||
\(661\) | −39.2136 | + | 10.5073i | −1.52523 | + | 0.408685i | −0.921461 | − | 0.388471i | \(-0.873003\pi\) |
−0.603773 | + | 0.797156i | \(0.706337\pi\) | |||||||
\(662\) | 50.5835 | 1.96598 | ||||||||
\(663\) | −0.453522 | − | 0.498367i | −0.0176133 | − | 0.0193550i | ||||
\(664\) | 0.442538 | 0.0171738 | ||||||||
\(665\) | 0.0676186 | + | 0.252356i | 0.00262214 | + | 0.00978595i | ||||
\(666\) | 10.4731 | + | 6.04663i | 0.405823 | + | 0.234302i | ||||
\(667\) | −2.78342 | − | 4.82103i | −0.107775 | − | 0.186671i | ||||
\(668\) | −73.6277 | − | 73.6277i | −2.84874 | − | 2.84874i | ||||
\(669\) | −7.46560 | − | 2.00040i | −0.288637 | − | 0.0773400i | ||||
\(670\) | 1.53299 | + | 0.410763i | 0.0592246 | + | 0.0158692i | ||||
\(671\) | 8.46519 | − | 21.6332i | 0.326795 | − | 0.835142i | ||||
\(672\) | −0.626364 | − | 1.08489i | −0.0241625 | − | 0.0418507i | ||||
\(673\) | −10.9897 | + | 19.0347i | −0.423621 | + | 0.733733i | −0.996291 | − | 0.0860532i | \(-0.972574\pi\) |
0.572670 | + | 0.819786i | \(0.305908\pi\) | |||||||
\(674\) | 84.0955 | − | 22.5333i | 3.23924 | − | 0.867951i | ||||
\(675\) | − | 3.87960i | − | 0.149326i | ||||||
\(676\) | 23.8250 | + | 52.0252i | 0.916346 | + | 2.00097i | ||||
\(677\) | 1.44089i | 0.0553779i | 0.999617 | + | 0.0276889i | \(0.00881479\pi\) | ||||
−0.999617 | + | 0.0276889i | \(0.991185\pi\) | |||||||
\(678\) | 39.9114 | − | 10.6942i | 1.53279 | − | 0.410709i | ||||
\(679\) | −0.0804557 | − | 0.0464511i | −0.00308760 | − | 0.00178263i | ||||
\(680\) | 1.04099 | − | 0.601018i | 0.0399203 | − | 0.0230480i | ||||
\(681\) | 2.82951 | + | 2.82951i | 0.108427 | + | 0.108427i | ||||
\(682\) | 11.5086 | + | 75.8342i | 0.440686 | + | 2.90384i | ||||
\(683\) | 2.49612 | − | 9.31565i | 0.0955115 | − | 0.356454i | −0.901585 | − | 0.432602i | \(-0.857596\pi\) |
0.997097 | + | 0.0761483i | \(0.0242622\pi\) | |||||||
\(684\) | 2.74285 | − | 2.74285i | 0.104875 | − | 0.104875i | ||||
\(685\) | 5.22519 | + | 9.05030i | 0.199644 | + | 0.345794i | ||||
\(686\) | −8.54365 | − | 4.93268i | −0.326198 | − | 0.188330i | ||||
\(687\) | 18.0948 | − | 4.84849i | 0.690360 | − | 0.184981i | ||||
\(688\) | −13.2553 | −0.505355 | ||||||||
\(689\) | 24.6918 | + | 27.1334i | 0.940684 | + | 1.03370i | ||||
\(690\) | 5.99890i | 0.228374i | ||||||||
\(691\) | 11.4054 | + | 42.5657i | 0.433883 | + | 1.61927i | 0.743725 | + | 0.668486i | \(0.233057\pi\) |
−0.309842 | + | 0.950788i | \(0.600276\pi\) | |||||||
\(692\) | 42.1433 | + | 24.3314i | 1.60205 | + | 0.924943i | ||||
\(693\) | −0.747961 | − | 0.550853i | −0.0284127 | − | 0.0209252i | ||||
\(694\) | −8.70802 | + | 8.70802i | −0.330552 | + | 0.330552i | ||||
\(695\) | 3.70209 | − | 13.8164i | 0.140428 | − | 0.524086i | ||||
\(696\) | −3.90855 | + | 14.5869i | −0.148153 | + | 0.552915i | ||||
\(697\) | −1.56991 | − | 1.56991i | −0.0594645 | − | 0.0594645i | ||||
\(698\) | 33.1745 | + | 57.4599i | 1.25567 | + | 2.17489i | ||||
\(699\) | 9.33672 | − | 16.1717i | 0.353147 | − | 0.611669i | ||||
\(700\) | −1.23787 | − | 4.61980i | −0.0467872 | − | 0.174612i | ||||
\(701\) | −10.0232 | −0.378569 | −0.189285 | − | 0.981922i | \(-0.560617\pi\) | ||||
−0.189285 | + | 0.981922i | \(0.560617\pi\) | |||||||
\(702\) | −7.67697 | − | 4.92801i | −0.289748 | − | 0.185996i | ||||
\(703\) | 4.21213i | 0.158864i | ||||||||
\(704\) | −3.77935 | − | 4.72933i | −0.142439 | − | 0.178243i | ||||
\(705\) | 1.86564 | − | 3.23137i | 0.0702639 | − | 0.121701i | ||||
\(706\) | −23.9768 | − | 41.5290i | −0.902377 | − | 1.56296i | ||||
\(707\) | −2.21977 | + | 2.21977i | −0.0834831 | + | 0.0834831i | ||||
\(708\) | 6.48648 | + | 1.73805i | 0.243777 | + | 0.0653198i | ||||
\(709\) | 10.4860 | − | 39.1344i | 0.393811 | − | 1.46972i | −0.429985 | − | 0.902836i | \(-0.641481\pi\) |
0.823796 | − | 0.566886i | \(-0.191852\pi\) | |||||||
\(710\) | 4.83592 | − | 4.83592i | 0.181489 | − | 0.181489i | ||||
\(711\) | 8.19099 | − | 4.72907i | 0.307186 | − | 0.177354i | ||||
\(712\) | −40.6280 | + | 70.3698i | −1.52260 | + | 2.63722i | ||||
\(713\) | 19.7766 | − | 5.29913i | 0.740640 | − | 0.198454i | ||||
\(714\) | 0.132436 | 0.00495629 | ||||||||
\(715\) | −10.2491 | + | 7.42786i | −0.383294 | + | 0.277786i | ||||
\(716\) | 20.9665 | 0.783556 | ||||||||
\(717\) | 8.22776 | − | 2.20462i | 0.307271 | − | 0.0823331i | ||||
\(718\) | 15.6847 | − | 27.1666i | 0.585347 | − | 1.01385i | ||||
\(719\) | 7.59445 | − | 4.38466i | 0.283225 | − | 0.163520i | −0.351657 | − | 0.936129i | \(-0.614382\pi\) |
0.634883 | + | 0.772609i | \(0.281048\pi\) | |||||||
\(720\) | 4.91819 | − | 4.91819i | 0.183290 | − | 0.183290i | ||||
\(721\) | 0.412457 | − | 1.53931i | 0.0153607 | − | 0.0573269i | ||||
\(722\) | −44.5367 | − | 11.9336i | −1.65748 | − | 0.444121i | ||||
\(723\) | −10.2002 | + | 10.2002i | −0.379351 | + | 0.379351i | ||||
\(724\) | −42.4400 | − | 73.5082i | −1.57727 | − | 2.73191i | ||||
\(725\) | −4.82088 | + | 8.35001i | −0.179043 | + | 0.310111i | ||||
\(726\) | 24.6326 | + | 12.9550i | 0.914200 | + | 0.480807i | ||||
\(727\) | − | 9.35419i | − | 0.346928i | −0.984840 | − | 0.173464i | \(-0.944504\pi\) | ||
0.984840 | − | 0.173464i | \(-0.0554960\pi\) | |||||||
\(728\) | −5.84584 | − | 1.86534i | −0.216661 | − | 0.0691340i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 3.78694 | + | 14.1331i | 0.140161 | + | 0.523088i | ||||
\(731\) | 0.188499 | − | 0.326489i | 0.00697187 | − | 0.0120756i | ||||
\(732\) | 15.4151 | + | 26.6997i | 0.569757 | + | 0.986848i | ||||
\(733\) | −0.419471 | − | 0.419471i | −0.0154935 | − | 0.0154935i | 0.699318 | − | 0.714811i | \(-0.253487\pi\) |
−0.714811 | + | 0.699318i | \(0.753487\pi\) | |||||||
\(734\) | 18.5110 | − | 69.0841i | 0.683255 | − | 2.54994i | ||||
\(735\) | 1.89621 | − | 7.07675i | 0.0699427 | − | 0.261030i | ||||
\(736\) | 7.08438 | − | 7.08438i | 0.261134 | − | 0.261134i | ||||
\(737\) | −1.58257 | − | 1.16552i | −0.0582947 | − | 0.0429325i | ||||
\(738\) | −26.0306 | − | 15.0288i | −0.958199 | − | 0.553216i | ||||
\(739\) | 12.3624 | + | 46.1371i | 0.454758 | + | 1.69718i | 0.688797 | + | 0.724954i | \(0.258139\pi\) |
−0.234039 | + | 0.972227i | \(0.575194\pi\) | |||||||
\(740\) | 22.2688i | 0.818618i | ||||||||
\(741\) | 0.149527 | − | 3.17391i | 0.00549300 | − | 0.116596i | ||||
\(742\) | −7.21042 | −0.264703 | ||||||||
\(743\) | −16.5083 | + | 4.42338i | −0.605630 | + | 0.162278i | −0.548587 | − | 0.836094i | \(-0.684834\pi\) |
−0.0570430 | + | 0.998372i | \(0.518167\pi\) | |||||||
\(744\) | −48.1004 | − | 27.7708i | −1.76345 | − | 1.01813i | ||||
\(745\) | −0.750333 | − | 1.29962i | −0.0274901 | − | 0.0476142i | ||||
\(746\) | −43.3590 | + | 43.3590i | −1.58749 | + | 1.58749i | ||||
\(747\) | −0.0188494 | + | 0.0703468i | −0.000689662 | + | 0.00257385i | ||||
\(748\) | −2.69740 | + | 0.409358i | −0.0986269 | + | 0.0149676i | ||||
\(749\) | −2.98398 | − | 2.98398i | −0.109032 | − | 0.109032i | ||||
\(750\) | 20.5947 | − | 11.8904i | 0.752012 | − | 0.434174i | ||||
\(751\) | 11.0208 | + | 6.36287i | 0.402155 | + | 0.232184i | 0.687413 | − | 0.726266i | \(-0.258746\pi\) |
−0.285258 | + | 0.958451i | \(0.592079\pi\) | |||||||
\(752\) | −22.3742 | + | 5.99516i | −0.815905 | + | 0.218621i | ||||
\(753\) | 23.4358i | 0.854049i | ||||||||
\(754\) | 10.3994 | + | 20.1461i | 0.378723 | + | 0.733676i | ||||
\(755\) | 16.8936i | 0.614820i | ||||||||
\(756\) | 1.19079 | − | 0.319072i | 0.0433087 | − | 0.0116045i | ||||
\(757\) | 9.29878 | − | 16.1060i | 0.337970 | − | 0.585381i | −0.646081 | − | 0.763269i | \(-0.723593\pi\) |
0.984051 | + | 0.177888i | \(0.0569264\pi\) | |||||||
\(758\) | 0.830447 | + | 1.43838i | 0.0301632 | + | 0.0522442i | ||||
\(759\) | 2.70716 | − | 6.91830i | 0.0982639 | − | 0.251118i | ||||
\(760\) | 5.47500 | + | 1.46702i | 0.198599 | + | 0.0532144i | ||||
\(761\) | −26.0492 | − | 6.97985i | −0.944281 | − | 0.253019i | −0.246347 | − | 0.969182i | \(-0.579230\pi\) |
−0.697934 | + | 0.716162i | \(0.745897\pi\) | |||||||
\(762\) | 9.43356 | + | 9.43356i | 0.341742 | + | 0.341742i | ||||
\(763\) | 0.348137 | + | 0.602990i | 0.0126034 | + | 0.0218297i | ||||
\(764\) | −55.6636 | − | 32.1374i | −2.01384 | − | 1.16269i | ||||
\(765\) | 0.0511993 | + | 0.191078i | 0.00185111 | + | 0.00690845i | ||||
\(766\) | −94.3876 | −3.41036 | ||||||||
\(767\) | 4.88797 | − | 2.52316i | 0.176494 | − | 0.0911061i | ||||
\(768\) | 30.6679 | 1.10663 | ||||||||
\(769\) | −19.0218 | + | 5.09687i | −0.685943 | + | 0.183798i | −0.584926 | − | 0.811087i | \(-0.698876\pi\) |
−0.101017 | + | 0.994885i | \(0.532210\pi\) | |||||||
\(770\) | 0.276041 | − | 2.47239i | 0.00994781 | − | 0.0890988i | ||||
\(771\) | 22.2621 | − | 12.8530i | 0.801750 | − | 0.462891i | ||||
\(772\) | −51.0755 | − | 51.0755i | −1.83825 | − | 1.83825i | ||||
\(773\) | 31.1770 | + | 8.35386i | 1.12136 | + | 0.300467i | 0.771433 | − | 0.636310i | \(-0.219540\pi\) |
0.349926 | + | 0.936777i | \(0.386207\pi\) | |||||||
\(774\) | 1.32099 | − | 4.92999i | 0.0474818 | − | 0.177205i | ||||
\(775\) | −25.0749 | − | 25.0749i | −0.900719 | − | 0.900719i | ||||
\(776\) | −1.74553 | + | 1.00778i | −0.0626608 | + | 0.0361772i | ||||
\(777\) | −0.669342 | + | 1.15933i | −0.0240125 | + | 0.0415909i | ||||
\(778\) | −14.2396 | − | 53.1429i | −0.510514 | − | 1.90527i | ||||
\(779\) | − | 10.4692i | − | 0.375097i | ||||||
\(780\) | 0.790521 | − | 16.7799i | 0.0283052 | − | 0.600817i | ||||
\(781\) | −7.75942 | + | 3.39474i | −0.277654 | + | 0.121473i | ||||
\(782\) | 0.274134 | + | 1.02308i | 0.00980301 | + | 0.0365853i | ||||
\(783\) | −2.15228 | − | 1.24262i | −0.0769164 | − | 0.0444077i | ||||
\(784\) | −39.3884 | + | 22.7409i | −1.40673 | + | 0.812175i | ||||
\(785\) | −4.13297 | + | 4.13297i | −0.147512 | + | 0.147512i | ||||
\(786\) | −46.1188 | − | 12.3575i | −1.64500 | − | 0.440777i | ||||
\(787\) | 11.5604 | + | 3.09759i | 0.412083 | + | 0.110417i | 0.458904 | − | 0.888486i | \(-0.348242\pi\) |
−0.0468209 | + | 0.998903i | \(0.514909\pi\) | |||||||
\(788\) | −13.0463 | + | 13.0463i | −0.464754 | + | 0.464754i | ||||
\(789\) | −19.9874 | + | 11.5397i | −0.711571 | + | 0.410825i | ||||
\(790\) | 21.9365 | + | 12.6651i | 0.780466 | + | 0.450602i | ||||
\(791\) | 1.18382 | + | 4.41806i | 0.0420917 | + | 0.157088i | ||||
\(792\) | −18.4636 | + | 8.07782i | −0.656076 | + | 0.287033i | ||||
\(793\) | 24.0591 | + | 7.67698i | 0.854364 | + | 0.272617i | ||||
\(794\) | 79.3290i | 2.81528i | ||||||||
\(795\) | −2.78752 | − | 10.4032i | −0.0988632 | − | 0.368963i | ||||
\(796\) | 27.4471 | − | 47.5398i | 0.972837 | − | 1.68500i | ||||
\(797\) | −23.3585 | + | 13.4861i | −0.827402 | + | 0.477701i | −0.852962 | − | 0.521973i | \(-0.825196\pi\) |
0.0255605 | + | 0.999673i | \(0.491863\pi\) | |||||||
\(798\) | 0.441584 | + | 0.441584i | 0.0156319 | + | 0.0156319i | ||||
\(799\) | 0.170509 | − | 0.636349i | 0.00603218 | − | 0.0225124i | ||||
\(800\) | −16.7613 | − | 4.49118i | −0.592601 | − | 0.158787i | ||||
\(801\) | −9.45563 | − | 9.45563i | −0.334098 | − | 0.334098i | ||||
\(802\) | 59.5403 | − | 34.3756i | 2.10244 | − | 1.21385i | ||||
\(803\) | 2.01059 | − | 18.0081i | 0.0709521 | − | 0.635491i | ||||
\(804\) | 2.51954 | − | 0.675108i | 0.0888572 | − | 0.0238092i | ||||
\(805\) | −0.664059 | −0.0234050 | ||||||||
\(806\) | −81.4695 | + | 17.7673i | −2.86964 | + | 0.625825i | ||||
\(807\) | 21.3332 | 0.750965 | ||||||||
\(808\) | 17.6275 | + | 65.7865i | 0.620132 | + | 2.31436i | ||||
\(809\) | −26.4470 | − | 15.2692i | −0.929825 | − | 0.536835i | −0.0430690 | − | 0.999072i | \(-0.513714\pi\) |
−0.886756 | + | 0.462237i | \(0.847047\pi\) | |||||||
\(810\) | 1.33906 | + | 2.31933i | 0.0470499 | + | 0.0814928i | ||||
\(811\) | 29.0949 | + | 29.0949i | 1.02166 | + | 1.02166i | 0.999760 | + | 0.0219016i | \(0.00697206\pi\) |
0.0219016 | + | 0.999760i | \(0.493028\pi\) | |||||||
\(812\) | −2.95941 | − | 0.792972i | −0.103855 | − | 0.0278279i | ||||
\(813\) | 19.0784 | + | 5.11203i | 0.669107 | + | 0.179287i | ||||
\(814\) | 14.6156 | − | 37.3510i | 0.512278 | − | 1.30915i | ||||
\(815\) | −2.24026 | − | 3.88025i | −0.0784730 | − | 0.135919i | ||||
\(816\) | 0.614024 | − | 1.06352i | 0.0214951 | − | 0.0372307i | ||||
\(817\) | 1.71713 | − | 0.460105i | 0.0600749 | − | 0.0160970i | ||||
\(818\) | 58.6965i | 2.05227i | ||||||||
\(819\) | 0.545515 | − | 0.849815i | 0.0190618 | − | 0.0296949i | ||||
\(820\) | − | 55.3487i | − | 1.93286i | ||||||
\(821\) | −23.2267 | + | 6.22358i | −0.810619 | + | 0.217205i | −0.640241 | − | 0.768174i | \(-0.721165\pi\) |
−0.170378 | + | 0.985379i | \(0.554499\pi\) | |||||||
\(822\) | 21.6333 | + | 12.4900i | 0.754546 | + | 0.435638i | ||||
\(823\) | −40.0236 | + | 23.1076i | −1.39513 | + | 0.805481i | −0.993878 | − | 0.110485i | \(-0.964760\pi\) |
−0.401256 | + | 0.915966i | \(0.631426\pi\) | |||||||
\(824\) | −24.4477 | − | 24.4477i | −0.851675 | − | 0.851675i | ||||
\(825\) | −12.7215 | + | 1.93062i | −0.442906 | + | 0.0672154i | ||||
\(826\) | −0.279817 | + | 1.04429i | −0.00973607 | + | 0.0363355i | ||||
\(827\) | −7.35431 | + | 7.35431i | −0.255734 | + | 0.255734i | −0.823317 | − | 0.567582i | \(-0.807879\pi\) |
0.567582 | + | 0.823317i | \(0.307879\pi\) | |||||||
\(828\) | 4.92973 | + | 8.53854i | 0.171320 | + | 0.296735i | ||||
\(829\) | −0.689949 | − | 0.398342i | −0.0239629 | − | 0.0138350i | 0.487971 | − | 0.872860i | \(-0.337737\pi\) |
−0.511934 | + | 0.859025i | \(0.671071\pi\) | |||||||
\(830\) | −0.188398 | + | 0.0504810i | −0.00653938 | + | 0.00175222i | ||||
\(831\) | −28.9265 | −1.00345 | ||||||||
\(832\) | 4.86754 | − | 4.42954i | 0.168751 | − | 0.153567i | ||||
\(833\) | − | 1.29356i | − | 0.0448190i | ||||||
\(834\) | −8.84924 | − | 33.0258i | −0.306424 | − | 1.14359i | ||||
\(835\) | 21.6851 | + | 12.5199i | 0.750442 | + | 0.433268i | ||||
\(836\) | −10.3589 | − | 7.62909i | −0.358272 | − | 0.263857i | ||||
\(837\) | 6.46328 | − | 6.46328i | 0.223404 | − | 0.223404i | ||||
\(838\) | 19.1283 | − | 71.3878i | 0.660776 | − | 2.46605i | ||||
\(839\) | 6.15459 | − | 22.9692i | 0.212480 | − | 0.792986i | −0.774559 | − | 0.632502i | \(-0.782028\pi\) |
0.987038 | − | 0.160484i | \(-0.0513054\pi\) | |||||||
\(840\) | 1.27380 | + | 1.27380i | 0.0439503 | + | 0.0439503i | ||||
\(841\) | −11.4118 | − | 19.7658i | −0.393510 | − | 0.681579i | ||||
\(842\) | 0.471660 | − | 0.816938i | 0.0162545 | − | 0.0281536i | ||||
\(843\) | −2.77269 | − | 10.3478i | −0.0954964 | − | 0.356397i | ||||
\(844\) | 103.694 | 3.56929 | ||||||||
\(845\) | −8.77219 | − | 10.6017i | −0.301772 | − | 0.364710i | ||||
\(846\) | − | 8.91899i | − | 0.306641i | ||||||
\(847\) | −1.43408 | + | 2.72674i | −0.0492756 | + | 0.0936920i | ||||
\(848\) | −33.4303 | + | 57.9029i | −1.14800 | + | 1.98839i | ||||
\(849\) | 6.39383 | + | 11.0744i | 0.219436 | + | 0.380074i | ||||
\(850\) | 1.29717 | − | 1.29717i | 0.0444927 | − | 0.0444927i | ||||
\(851\) | −10.3415 | − | 2.77099i | −0.354501 | − | 0.0949883i | ||||
\(852\) | 2.90919 | − | 10.8572i | 0.0996671 | − | 0.371963i | ||||
\(853\) | −17.8786 | + | 17.8786i | −0.612151 | + | 0.612151i | −0.943506 | − | 0.331355i | \(-0.892494\pi\) |
0.331355 | + | 0.943506i | \(0.392494\pi\) | |||||||
\(854\) | −4.29851 | + | 2.48175i | −0.147092 | + | 0.0849236i | ||||
\(855\) | −0.466402 | + | 0.807831i | −0.0159506 | + | 0.0276273i | ||||
\(856\) | −88.4352 | + | 23.6961i | −3.02265 | + | 0.809918i | ||||
\(857\) | −9.17853 | −0.313533 | −0.156766 | − | 0.987636i | \(-0.550107\pi\) | ||||
−0.156766 | + | 0.987636i | \(0.550107\pi\) | |||||||
\(858\) | −12.3390 | + | 27.6257i | −0.421247 | + | 0.943127i | ||||
\(859\) | −11.0895 | −0.378367 | −0.189184 | − | 0.981942i | \(-0.560584\pi\) | ||||
−0.189184 | + | 0.981942i | \(0.560584\pi\) | |||||||
\(860\) | 9.07820 | − | 2.43250i | 0.309564 | − | 0.0829474i | ||||
\(861\) | 1.66363 | − | 2.88150i | 0.0566965 | − | 0.0982013i | ||||
\(862\) | 67.3363 | − | 38.8766i | 2.29348 | − | 1.32414i | ||||
\(863\) | −11.7942 | + | 11.7942i | −0.401479 | + | 0.401479i | −0.878754 | − | 0.477275i | \(-0.841624\pi\) |
0.477275 | + | 0.878754i | \(0.341624\pi\) | |||||||
\(864\) | 1.15764 | − | 4.32037i | 0.0393837 | − | 0.146982i | ||||
\(865\) | −11.3036 | − | 3.02878i | −0.384332 | − | 0.102982i | ||||
\(866\) | 37.8924 | − | 37.8924i | 1.28764 | − | 1.28764i | ||||
\(867\) | −8.48254 | − | 14.6922i | −0.288082 | − | 0.498973i | ||||
\(868\) | 5.63418 | − | 9.75868i | 0.191236 | − | 0.331231i | ||||
\(869\) | −19.5831 | − | 24.5056i | −0.664311 | − | 0.831294i | ||||
\(870\) | − | 6.65580i | − | 0.225653i | ||||||
\(871\) | 1.15423 | − | 1.79808i | 0.0391094 | − | 0.0609256i | ||||
\(872\) | 15.1060 | 0.511554 | ||||||||
\(873\) | −0.0858504 | − | 0.320398i | −0.00290560 | − | 0.0108438i | ||||
\(874\) | −2.49723 | + | 4.32534i | −0.0844702 | + | 0.146307i | ||||
\(875\) | 1.31622 | + | 2.27977i | 0.0444965 | + | 0.0770701i | ||||
\(876\) | 17.0043 | + | 17.0043i | 0.574522 | + | 0.574522i | ||||
\(877\) | −9.12001 | + | 34.0364i | −0.307961 | + | 1.14933i | 0.622405 | + | 0.782695i | \(0.286155\pi\) |
−0.930366 | + | 0.366631i | \(0.880511\pi\) | |||||||
\(878\) | −13.4014 | + | 50.0148i | −0.452276 | + | 1.68792i | ||||
\(879\) | 6.67226 | − | 6.67226i | 0.225050 | − | 0.225050i | ||||
\(880\) | −18.5746 | − | 13.6797i | −0.626149 | − | 0.461142i | ||||
\(881\) | 2.68348 | + | 1.54931i | 0.0904087 | + | 0.0521975i | 0.544523 | − | 0.838746i | \(-0.316711\pi\) |
−0.454114 | + | 0.890944i | \(0.650044\pi\) | |||||||
\(882\) | −4.53258 | − | 16.9158i | −0.152620 | − | 0.569585i | ||||
\(883\) | − | 39.7425i | − | 1.33744i | −0.743514 | − | 0.668720i | \(-0.766842\pi\) | ||
0.743514 | − | 0.668720i | \(-0.233158\pi\) | |||||||
\(884\) | −0.631978 | − | 2.89785i | −0.0212557 | − | 0.0974653i | ||||
\(885\) | −1.61487 | −0.0542834 | ||||||||
\(886\) | 4.48471 | − | 1.20168i | 0.150667 | − | 0.0403711i | ||||
\(887\) | −21.9346 | − | 12.6640i | −0.736493 | − | 0.425214i | 0.0843000 | − | 0.996440i | \(-0.473135\pi\) |
−0.820793 | + | 0.571226i | \(0.806468\pi\) | |||||||
\(888\) | 14.5217 | + | 25.1524i | 0.487317 | + | 0.844058i | ||||
\(889\) | −1.04426 | + | 1.04426i | −0.0350235 | + | 0.0350235i | ||||
\(890\) | 9.26901 | − | 34.5924i | 0.310698 | − | 1.15954i | ||||
\(891\) | −0.497633 | − | 3.27908i | −0.0166713 | − | 0.109853i | ||||
\(892\) | −24.0557 | − | 24.0557i | −0.805446 | − | 0.805446i | ||||
\(893\) | 2.69033 | − | 1.55326i | 0.0900283 | − | 0.0519779i | ||||
\(894\) | −3.10652 | − | 1.79355i | −0.103897 | − | 0.0599852i | ||||
\(895\) | −4.87016 | + | 1.30496i | −0.162792 | + | 0.0436199i | ||||
\(896\) | 3.79895i | 0.126914i | ||||||||
\(897\) | 7.69409 | + | 2.45509i | 0.256898 | + | 0.0819732i | ||||
\(898\) | − | 61.7804i | − | 2.06164i | ||||||
\(899\) | −21.9422 | + | 5.87940i | −0.731814 | + | 0.196089i | ||||
\(900\) | 8.53827 | − | 14.7887i | 0.284609 | − | 0.492957i | ||||
\(901\) | −0.950795 | − | 1.64683i | −0.0316756 | − | 0.0548637i | ||||
\(902\) | −36.3268 | + | 92.8351i | −1.20955 | + | 3.09107i | ||||
\(903\) | 0.545733 | + | 0.146229i | 0.0181609 | + | 0.00486619i | ||||
\(904\) | 95.8522 | + | 25.6835i | 3.18800 | + | 0.854221i | ||||
\(905\) | 14.4332 | + | 14.4332i | 0.479777 | + | 0.479777i | ||||
\(906\) | 20.1906 | + | 34.9712i | 0.670789 | + | 1.16184i | ||||
\(907\) | −0.445515 | − | 0.257218i | −0.0147931 | − | 0.00854079i | 0.492585 | − | 0.870264i | \(-0.336052\pi\) |
−0.507378 | + | 0.861723i | \(0.669385\pi\) | |||||||
\(908\) | 4.55864 | + | 17.0131i | 0.151284 | + | 0.564599i | ||||
\(909\) | −11.2084 | −0.371759 | ||||||||
\(910\) | 2.70148 | + | 0.127270i | 0.0895531 | + | 0.00421896i | ||||
\(911\) | 6.69235 | 0.221728 | 0.110864 | − | 0.993836i | \(-0.464638\pi\) | ||||
0.110864 | + | 0.993836i | \(0.464638\pi\) | |||||||
\(912\) | 5.59348 | − | 1.49877i | 0.185219 | − | 0.0496291i | ||||
\(913\) | 0.240053 | + | 0.0268017i | 0.00794458 | + | 0.000887006i | ||||
\(914\) | 35.0299 | − | 20.2245i | 1.15869 | − | 0.668967i | ||||
\(915\) | −5.24244 | − | 5.24244i | −0.173310 | − | 0.173310i | ||||
\(916\) | 79.6465 | + | 21.3412i | 2.63159 | + | 0.705133i | ||||
\(917\) | 1.36793 | − | 5.10520i | 0.0451731 | − | 0.168588i | ||||
\(918\) | 0.334358 | + | 0.334358i | 0.0110354 | + | 0.0110354i | ||||
\(919\) | 50.3854 | − | 29.0900i | 1.66206 | − | 0.959591i | 0.690331 | − | 0.723493i | \(-0.257465\pi\) |
0.971729 | − | 0.236098i | \(-0.0758686\pi\) | |||||||
\(920\) | −7.20355 | + | 12.4769i | −0.237494 | + | 0.411352i | ||||
\(921\) | 6.45413 | + | 24.0871i | 0.212671 | + | 0.793698i | ||||
\(922\) | 88.6894i | 2.92083i | ||||||||
\(923\) | −4.22333 | − | 8.18160i | −0.139013 | − | 0.269301i | ||||
\(924\) | −1.63884 | − | 3.74593i | −0.0539139 | − | 0.123232i | ||||
\(925\) | 4.79934 | + | 17.9114i | 0.157801 | + | 0.588923i | ||||
\(926\) | 27.6809 | + | 15.9816i | 0.909651 | + | 0.525187i | ||||
\(927\) | 4.92758 | − | 2.84494i | 0.161843 | − | 0.0934400i | ||||
\(928\) | −7.86015 | + | 7.86015i | −0.258022 | + | 0.258022i | ||||
\(929\) | 9.28360 | + | 2.48753i | 0.304585 | + | 0.0816133i | 0.407874 | − | 0.913038i | \(-0.366270\pi\) |
−0.103289 | + | 0.994651i | \(0.532937\pi\) | |||||||
\(930\) | 23.6452 | + | 6.33571i | 0.775357 | + | 0.207756i | ||||
\(931\) | 4.31313 | − | 4.31313i | 0.141357 | − | 0.141357i | ||||
\(932\) | 71.1816 | − | 41.0967i | 2.33163 | − | 1.34617i | ||||
\(933\) | −4.53272 | − | 2.61697i | −0.148395 | − | 0.0856757i | ||||
\(934\) | −8.48601 | − | 31.6702i | −0.277671 | − | 1.03628i | ||||
\(935\) | 0.601082 | − | 0.262973i | 0.0196575 | − | 0.00860014i | ||||
\(936\) | −10.0495 | − | 19.4682i | −0.328477 | − | 0.636338i | ||||
\(937\) | − | 38.3153i | − | 1.25171i | −0.779941 | − | 0.625853i | \(-0.784751\pi\) | ||
0.779941 | − | 0.625853i | \(-0.215249\pi\) | |||||||
\(938\) | 0.108689 | + | 0.405633i | 0.00354882 | + | 0.0132444i | ||||
\(939\) | −9.58187 | + | 16.5963i | −0.312693 | + | 0.541599i | ||||
\(940\) | 14.2233 | − | 8.21182i | 0.463913 | − | 0.267840i | ||||
\(941\) | 35.8498 | + | 35.8498i | 1.16867 | + | 1.16867i | 0.982521 | + | 0.186150i | \(0.0596011\pi\) |
0.186150 | + | 0.982521i | \(0.440399\pi\) | |||||||
\(942\) | −3.61603 | + | 13.4952i | −0.117817 | + | 0.439698i | ||||
\(943\) | 25.7035 | + | 6.88723i | 0.837021 | + | 0.224279i | ||||
\(944\) | 7.08878 | + | 7.08878i | 0.230720 | + | 0.230720i | ||||
\(945\) | −0.256742 | + | 0.148230i | −0.00835181 | + | 0.00482192i | ||||
\(946\) | −16.8232 | − | 1.87829i | −0.546969 | − | 0.0610686i | ||||
\(947\) | 31.9585 | − | 8.56326i | 1.03851 | − | 0.278269i | 0.301016 | − | 0.953619i | \(-0.402674\pi\) |
0.737497 | + | 0.675351i | \(0.236008\pi\) | |||||||
\(948\) | 41.6312 | 1.35212 | ||||||||
\(949\) | 19.6767 | + | 0.926991i | 0.638731 | + | 0.0300914i | ||||
\(950\) | 8.65040 | 0.280656 | ||||||||
\(951\) | 4.73272 | + | 17.6628i | 0.153469 | + | 0.572754i | ||||
\(952\) | 0.275449 | + | 0.159031i | 0.00892736 | + | 0.00515421i | ||||
\(953\) | 24.8550 | + | 43.0502i | 0.805133 | + | 1.39453i | 0.916201 | + | 0.400719i | \(0.131240\pi\) |
−0.111068 | + | 0.993813i | \(0.535427\pi\) | |||||||
\(954\) | −18.2040 | − | 18.2040i | −0.589375 | − | 0.589375i | ||||
\(955\) | 14.9299 | + | 4.00046i | 0.483121 | + | 0.129452i | ||||
\(956\) | 36.2155 | + | 9.70391i | 1.17129 | + | 0.313847i | ||||
\(957\) | −3.00361 | + | 7.67588i | −0.0970929 | + | 0.248126i | ||||
\(958\) | 26.7076 | + | 46.2589i | 0.862883 | + | 1.49456i | ||||
\(959\) | −1.38260 | + | 2.39473i | −0.0446464 | + | 0.0773299i | ||||
\(960\) | −1.86626 | + | 0.500062i | −0.0602331 | + | 0.0161394i | ||||
\(961\) | − | 52.5479i | − | 1.69509i | ||||||
\(962\) | 41.5394 | + | 13.2547i | 1.33928 | + | 0.427350i | ||||
\(963\) | − | 15.0672i | − | 0.485533i | ||||||
\(964\) | −61.3312 | + | 16.4336i | −1.97534 | + | 0.529292i | ||||
\(965\) | 15.0429 | + | 8.68502i | 0.484248 | + | 0.279581i | ||||
\(966\) | −1.37466 | + | 0.793661i | −0.0442290 | + | 0.0255356i | ||||
\(967\) | −12.3750 | − | 12.3750i | −0.397954 | − | 0.397954i | 0.479557 | − | 0.877511i | \(-0.340797\pi\) |
−0.877511 | + | 0.479557i | \(0.840797\pi\) | |||||||
\(968\) | 35.6759 | + | 56.5238i | 1.14667 | + | 1.81674i | ||||
\(969\) | −0.0426267 | + | 0.159085i | −0.00136937 | + | 0.00511054i | ||||
\(970\) | 0.628149 | − | 0.628149i | 0.0201686 | − | 0.0201686i | ||||
\(971\) | −8.36478 | − | 14.4882i | −0.268438 | − | 0.464949i | 0.700020 | − | 0.714123i | \(-0.253174\pi\) |
−0.968459 | + | 0.249174i | \(0.919841\pi\) | |||||||
\(972\) | 3.81192 | + | 2.20081i | 0.122267 | + | 0.0705911i | ||||
\(973\) | 3.65585 | − | 0.979582i | 0.117201 | − | 0.0314040i | ||||
\(974\) | −70.9093 | −2.27208 | ||||||||
\(975\) | −2.98054 | − | 13.6669i | −0.0954537 | − | 0.437690i | ||||
\(976\) | 46.0253i | 1.47323i | ||||||||
\(977\) | −9.13756 | − | 34.1018i | −0.292336 | − | 1.09101i | −0.943310 | − | 0.331914i | \(-0.892306\pi\) |
0.650973 | − | 0.759101i | \(-0.274361\pi\) | |||||||
\(978\) | −9.27510 | − | 5.35498i | −0.296585 | − | 0.171233i | ||||
\(979\) | −26.3003 | + | 35.7112i | −0.840563 | + | 1.14134i | ||||
\(980\) | 22.8028 | − | 22.8028i | 0.728408 | − | 0.728408i | ||||
\(981\) | −0.643422 | + | 2.40128i | −0.0205429 | + | 0.0766671i | ||||
\(982\) | 0.750204 | − | 2.79980i | 0.0239400 | − | 0.0893451i | ||||
\(983\) | 21.4490 | + | 21.4490i | 0.684118 | + | 0.684118i | 0.960925 | − | 0.276808i | \(-0.0892765\pi\) |
−0.276808 | + | 0.960925i | \(0.589276\pi\) | |||||||
\(984\) | −36.0934 | − | 62.5156i | −1.15062 | − | 1.99293i | ||||
\(985\) | 2.21842 | − | 3.84242i | 0.0706849 | − | 0.122430i | ||||
\(986\) | −0.304153 | − | 1.13511i | −0.00968619 | − | 0.0361494i | ||||
\(987\) | 0.987303 | 0.0314262 | ||||||||
\(988\) | 7.55515 | − | 11.7696i | 0.240361 | − | 0.374441i | ||||
\(989\) | 4.51853i | 0.143681i | ||||||||
\(990\) | 6.93890 | − | 5.54507i | 0.220533 | − | 0.176234i | ||||
\(991\) | −9.56048 | + | 16.5592i | −0.303699 | + | 0.526022i | −0.976971 | − | 0.213373i | \(-0.931555\pi\) |
0.673272 | + | 0.739395i | \(0.264888\pi\) | |||||||
\(992\) | −20.4416 | − | 35.4059i | −0.649021 | − | 1.12414i | ||||
\(993\) | −14.1367 | + | 14.1367i | −0.448615 | + | 0.448615i | ||||
\(994\) | 1.74796 | + | 0.468364i | 0.0554419 | + | 0.0148556i | ||||
\(995\) | −3.41662 | + | 12.7510i | −0.108314 | + | 0.404233i | ||||
\(996\) | −0.226672 | + | 0.226672i | −0.00718238 | + | 0.00718238i | ||||
\(997\) | −20.3493 | + | 11.7487i | −0.644470 | + | 0.372085i | −0.786334 | − | 0.617801i | \(-0.788024\pi\) |
0.141864 | + | 0.989886i | \(0.454690\pi\) | |||||||
\(998\) | 39.3274 | − | 68.1171i | 1.24489 | − | 2.15621i | ||||
\(999\) | −4.61681 | + | 1.23707i | −0.146069 | + | 0.0391392i |
(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 | 429.2.bd.b.175.1 | yes | 56 | |
11.10 | odd | 2 | inner | 429.2.bd.b.175.14 | yes | 56 | |
13.11 | odd | 12 | inner | 429.2.bd.b.76.14 | yes | 56 | |
143.76 | even | 12 | inner | 429.2.bd.b.76.1 | ✓ | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bd.b.76.1 | ✓ | 56 | 143.76 | even | 12 | inner | |
429.2.bd.b.76.14 | yes | 56 | 13.11 | odd | 12 | inner | |
429.2.bd.b.175.1 | yes | 56 | 1.1 | even | 1 | trivial | |
429.2.bd.b.175.14 | yes | 56 | 11.10 | odd | 2 | inner |