Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(251,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.251");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.h (of order \(2\), degree \(1\), 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: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - x^{15} - 2x^{12} + 6x^{11} - 12x^{9} + 8x^{8} - 24x^{7} + 48x^{5} - 32x^{4} - 128x + 256 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{4} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 251.1 | ||
Root | \(-1.38133 + 0.303194i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 280.251 |
Dual form | 280.2.h.b.251.2 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.38133 | − | 0.303194i | −0.976748 | − | 0.214390i | ||||
\(3\) | − | 1.34113i | − | 0.774303i | −0.922016 | − | 0.387152i | \(-0.873459\pi\) | ||
0.922016 | − | 0.387152i | \(-0.126541\pi\) | |||||||
\(4\) | 1.81615 | + | 0.837621i | 0.908074 | + | 0.418811i | ||||
\(5\) | 1.00000 | 0.447214 | ||||||||
\(6\) | −0.406623 | + | 1.85255i | −0.166003 | + | 0.756299i | ||||
\(7\) | −1.28003 | − | 2.31550i | −0.483806 | − | 0.875175i | ||||
\(8\) | −2.25474 | − | 1.70768i | −0.797170 | − | 0.603755i | ||||
\(9\) | 1.20136 | 0.400454 | ||||||||
\(10\) | −1.38133 | − | 0.303194i | −0.436815 | − | 0.0958783i | ||||
\(11\) | 2.44809 | 0.738125 | 0.369063 | − | 0.929404i | \(-0.379679\pi\) | ||||
0.369063 | + | 0.929404i | \(0.379679\pi\) | |||||||
\(12\) | 1.12336 | − | 2.43569i | 0.324287 | − | 0.703125i | ||||
\(13\) | −1.57090 | −0.435690 | −0.217845 | − | 0.975983i | \(-0.569903\pi\) | ||||
−0.217845 | + | 0.975983i | \(0.569903\pi\) | |||||||
\(14\) | 1.06610 | + | 3.58656i | 0.284928 | + | 0.958549i | ||||
\(15\) | − | 1.34113i | − | 0.346279i | ||||||
\(16\) | 2.59678 | + | 3.04249i | 0.649195 | + | 0.760622i | ||||
\(17\) | 1.11987i | 0.271609i | 0.990736 | + | 0.135804i | \(0.0433619\pi\) | ||||
−0.990736 | + | 0.135804i | \(0.956638\pi\) | |||||||
\(18\) | −1.65948 | − | 0.364245i | −0.391143 | − | 0.0858535i | ||||
\(19\) | − | 8.44773i | − | 1.93804i | −0.246978 | − | 0.969021i | \(-0.579437\pi\) | ||
0.246978 | − | 0.969021i | \(-0.420563\pi\) | |||||||
\(20\) | 1.81615 | + | 0.837621i | 0.406103 | + | 0.187298i | ||||
\(21\) | −3.10539 | + | 1.71669i | −0.677651 | + | 0.374613i | ||||
\(22\) | −3.38161 | − | 0.742244i | −0.720963 | − | 0.158247i | ||||
\(23\) | 2.62959i | 0.548307i | 0.961686 | + | 0.274154i | \(0.0883977\pi\) | ||||
−0.961686 | + | 0.274154i | \(0.911602\pi\) | |||||||
\(24\) | −2.29022 | + | 3.02390i | −0.467489 | + | 0.617252i | ||||
\(25\) | 1.00000 | 0.200000 | ||||||||
\(26\) | 2.16994 | + | 0.476288i | 0.425560 | + | 0.0934078i | ||||
\(27\) | − | 5.63459i | − | 1.08438i | ||||||
\(28\) | −0.385215 | − | 5.27746i | −0.0727988 | − | 0.997347i | ||||
\(29\) | − | 3.43282i | − | 0.637458i | −0.947846 | − | 0.318729i | \(-0.896744\pi\) | ||
0.947846 | − | 0.318729i | \(-0.103256\pi\) | |||||||
\(30\) | −0.406623 | + | 1.85255i | −0.0742389 | + | 0.338227i | ||||
\(31\) | −9.70304 | −1.74272 | −0.871359 | − | 0.490647i | \(-0.836761\pi\) | ||||
−0.871359 | + | 0.490647i | \(0.836761\pi\) | |||||||
\(32\) | −2.66455 | − | 4.99001i | −0.471030 | − | 0.882117i | ||||
\(33\) | − | 3.28321i | − | 0.571533i | ||||||
\(34\) | 0.339538 | − | 1.54691i | 0.0582303 | − | 0.265294i | ||||
\(35\) | −1.28003 | − | 2.31550i | −0.216365 | − | 0.391390i | ||||
\(36\) | 2.18185 | + | 1.00629i | 0.363642 | + | 0.167714i | ||||
\(37\) | − | 6.22712i | − | 1.02373i | −0.859065 | − | 0.511866i | \(-0.828954\pi\) | ||
0.859065 | − | 0.511866i | \(-0.171046\pi\) | |||||||
\(38\) | −2.56130 | + | 11.6691i | −0.415497 | + | 1.89298i | ||||
\(39\) | 2.10679i | 0.337357i | ||||||||
\(40\) | −2.25474 | − | 1.70768i | −0.356505 | − | 0.270007i | ||||
\(41\) | 3.13128i | 0.489024i | 0.969646 | + | 0.244512i | \(0.0786277\pi\) | ||||
−0.969646 | + | 0.244512i | \(0.921372\pi\) | |||||||
\(42\) | 4.81006 | − | 1.42978i | 0.742208 | − | 0.220620i | ||||
\(43\) | 7.45492 | 1.13687 | 0.568433 | − | 0.822730i | \(-0.307550\pi\) | ||||
0.568433 | + | 0.822730i | \(0.307550\pi\) | |||||||
\(44\) | 4.44608 | + | 2.05057i | 0.670272 | + | 0.309135i | ||||
\(45\) | 1.20136 | 0.179089 | ||||||||
\(46\) | 0.797275 | − | 3.63233i | 0.117552 | − | 0.535558i | ||||
\(47\) | 9.40956 | 1.37253 | 0.686263 | − | 0.727354i | \(-0.259250\pi\) | ||||
0.686263 | + | 0.727354i | \(0.259250\pi\) | |||||||
\(48\) | 4.08038 | − | 3.48263i | 0.588952 | − | 0.502674i | ||||
\(49\) | −3.72304 | + | 5.92781i | −0.531863 | + | 0.846830i | ||||
\(50\) | −1.38133 | − | 0.303194i | −0.195350 | − | 0.0428781i | ||||
\(51\) | 1.50190 | 0.210308 | ||||||||
\(52\) | −2.85299 | − | 1.31582i | −0.395639 | − | 0.182472i | ||||
\(53\) | 11.6067i | 1.59430i | 0.603778 | + | 0.797152i | \(0.293661\pi\) | ||||
−0.603778 | + | 0.797152i | \(0.706339\pi\) | |||||||
\(54\) | −1.70837 | + | 7.78322i | −0.232480 | + | 1.05916i | ||||
\(55\) | 2.44809 | 0.330100 | ||||||||
\(56\) | −1.06798 | + | 7.40671i | −0.142715 | + | 0.989764i | ||||
\(57\) | −11.3295 | −1.50063 | ||||||||
\(58\) | −1.04081 | + | 4.74186i | −0.136665 | + | 0.622636i | ||||
\(59\) | 6.16041i | 0.802017i | 0.916074 | + | 0.401009i | \(0.131340\pi\) | ||||
−0.916074 | + | 0.401009i | \(0.868660\pi\) | |||||||
\(60\) | 1.12336 | − | 2.43569i | 0.145025 | − | 0.314447i | ||||
\(61\) | 9.44231 | 1.20896 | 0.604482 | − | 0.796619i | \(-0.293380\pi\) | ||||
0.604482 | + | 0.796619i | \(0.293380\pi\) | |||||||
\(62\) | 13.4031 | + | 2.94190i | 1.70220 | + | 0.373622i | ||||
\(63\) | −1.53778 | − | 2.78175i | −0.193742 | − | 0.350468i | ||||
\(64\) | 2.16769 | + | 7.70072i | 0.270961 | + | 0.962590i | ||||
\(65\) | −1.57090 | −0.194847 | ||||||||
\(66\) | −0.995448 | + | 4.53519i | −0.122531 | + | 0.558244i | ||||
\(67\) | −2.15461 | −0.263228 | −0.131614 | − | 0.991301i | \(-0.542016\pi\) | ||||
−0.131614 | + | 0.991301i | \(0.542016\pi\) | |||||||
\(68\) | −0.938029 | + | 2.03385i | −0.113753 | + | 0.246641i | ||||
\(69\) | 3.52663 | 0.424556 | ||||||||
\(70\) | 1.06610 | + | 3.58656i | 0.127423 | + | 0.428676i | ||||
\(71\) | 7.87185i | 0.934217i | 0.884200 | + | 0.467108i | \(0.154704\pi\) | ||||
−0.884200 | + | 0.467108i | \(0.845296\pi\) | |||||||
\(72\) | −2.70876 | − | 2.05154i | −0.319230 | − | 0.241776i | ||||
\(73\) | 12.6145i | 1.47642i | 0.674571 | + | 0.738210i | \(0.264329\pi\) | ||||
−0.674571 | + | 0.738210i | \(0.735671\pi\) | |||||||
\(74\) | −1.88802 | + | 8.60171i | −0.219478 | + | 0.999929i | ||||
\(75\) | − | 1.34113i | − | 0.154861i | ||||||
\(76\) | 7.07600 | − | 15.3423i | 0.811673 | − | 1.75989i | ||||
\(77\) | −3.13362 | − | 5.66853i | −0.357110 | − | 0.645989i | ||||
\(78\) | 0.638766 | − | 2.91017i | 0.0723260 | − | 0.329512i | ||||
\(79\) | − | 7.70558i | − | 0.866946i | −0.901167 | − | 0.433473i | \(-0.857288\pi\) | ||
0.901167 | − | 0.433473i | \(-0.142712\pi\) | |||||||
\(80\) | 2.59678 | + | 3.04249i | 0.290329 | + | 0.340160i | ||||
\(81\) | −3.95264 | −0.439182 | ||||||||
\(82\) | 0.949384 | − | 4.32533i | 0.104842 | − | 0.477653i | ||||
\(83\) | 0.813234i | 0.0892640i | 0.999003 | + | 0.0446320i | \(0.0142115\pi\) | ||||
−0.999003 | + | 0.0446320i | \(0.985788\pi\) | |||||||
\(84\) | −7.07778 | + | 0.516625i | −0.772249 | + | 0.0563684i | ||||
\(85\) | 1.11987i | 0.121467i | ||||||||
\(86\) | −10.2977 | − | 2.26029i | −1.11043 | − | 0.243733i | ||||
\(87\) | −4.60387 | −0.493586 | ||||||||
\(88\) | −5.51979 | − | 4.18054i | −0.588412 | − | 0.445647i | ||||
\(89\) | 5.12287i | 0.543023i | 0.962435 | + | 0.271512i | \(0.0875235\pi\) | ||||
−0.962435 | + | 0.271512i | \(0.912476\pi\) | |||||||
\(90\) | −1.65948 | − | 0.364245i | −0.174924 | − | 0.0383948i | ||||
\(91\) | 2.01081 | + | 3.63742i | 0.210790 | + | 0.381305i | ||||
\(92\) | −2.20260 | + | 4.77572i | −0.229637 | + | 0.497903i | ||||
\(93\) | 13.0131i | 1.34939i | ||||||||
\(94\) | −12.9977 | − | 2.85292i | −1.34061 | − | 0.294256i | ||||
\(95\) | − | 8.44773i | − | 0.866719i | ||||||
\(96\) | −6.69226 | + | 3.57352i | −0.683026 | + | 0.364720i | ||||
\(97\) | − | 0.833955i | − | 0.0846753i | −0.999103 | − | 0.0423377i | \(-0.986519\pi\) | ||
0.999103 | − | 0.0423377i | \(-0.0134805\pi\) | |||||||
\(98\) | 6.94003 | − | 7.05946i | 0.701049 | − | 0.713113i | ||||
\(99\) | 2.94104 | 0.295585 | ||||||||
\(100\) | 1.81615 | + | 0.837621i | 0.181615 | + | 0.0837621i | ||||
\(101\) | 5.52401 | 0.549660 | 0.274830 | − | 0.961493i | \(-0.411378\pi\) | ||||
0.274830 | + | 0.961493i | \(0.411378\pi\) | |||||||
\(102\) | −2.07462 | − | 0.455366i | −0.205418 | − | 0.0450879i | ||||
\(103\) | 11.7675 | 1.15949 | 0.579745 | − | 0.814798i | \(-0.303152\pi\) | ||||
0.579745 | + | 0.814798i | \(0.303152\pi\) | |||||||
\(104\) | 3.54198 | + | 2.68260i | 0.347319 | + | 0.263050i | ||||
\(105\) | −3.10539 | + | 1.71669i | −0.303055 | + | 0.167532i | ||||
\(106\) | 3.51908 | − | 16.0327i | 0.341803 | − | 1.55723i | ||||
\(107\) | −1.38992 | −0.134369 | −0.0671844 | − | 0.997741i | \(-0.521402\pi\) | ||||
−0.0671844 | + | 0.997741i | \(0.521402\pi\) | |||||||
\(108\) | 4.71965 | − | 10.2332i | 0.454148 | − | 0.984694i | ||||
\(109\) | − | 1.07524i | − | 0.102990i | −0.998673 | − | 0.0514949i | \(-0.983601\pi\) | ||
0.998673 | − | 0.0514949i | \(-0.0163986\pi\) | |||||||
\(110\) | −3.38161 | − | 0.742244i | −0.322424 | − | 0.0707702i | ||||
\(111\) | −8.35140 | −0.792680 | ||||||||
\(112\) | 3.72091 | − | 9.90731i | 0.351593 | − | 0.936153i | ||||
\(113\) | 11.1967 | 1.05329 | 0.526647 | − | 0.850084i | \(-0.323449\pi\) | ||||
0.526647 | + | 0.850084i | \(0.323449\pi\) | |||||||
\(114\) | 15.6498 | + | 3.43504i | 1.46574 | + | 0.321721i | ||||
\(115\) | 2.62959i | 0.245210i | ||||||||
\(116\) | 2.87540 | − | 6.23450i | 0.266974 | − | 0.578859i | ||||
\(117\) | −1.88722 | −0.174474 | ||||||||
\(118\) | 1.86780 | − | 8.50956i | 0.171945 | − | 0.783369i | ||||
\(119\) | 2.59306 | − | 1.43347i | 0.237705 | − | 0.131406i | ||||
\(120\) | −2.29022 | + | 3.02390i | −0.209068 | + | 0.276043i | ||||
\(121\) | −5.00688 | −0.455171 | ||||||||
\(122\) | −13.0429 | − | 2.86285i | −1.18085 | − | 0.259190i | ||||
\(123\) | 4.19946 | 0.378653 | ||||||||
\(124\) | −17.6221 | − | 8.12747i | −1.58252 | − | 0.729868i | ||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | 1.28077 | + | 4.30876i | 0.114100 | + | 0.383855i | ||||
\(127\) | 16.4186i | 1.45692i | 0.685089 | + | 0.728459i | \(0.259763\pi\) | ||||
−0.685089 | + | 0.728459i | \(0.740237\pi\) | |||||||
\(128\) | −0.659479 | − | 11.2945i | −0.0582903 | − | 0.998300i | ||||
\(129\) | − | 9.99804i | − | 0.880279i | ||||||
\(130\) | 2.16994 | + | 0.476288i | 0.190316 | + | 0.0417732i | ||||
\(131\) | 2.00348i | 0.175045i | 0.996163 | + | 0.0875223i | \(0.0278949\pi\) | ||||
−0.996163 | + | 0.0875223i | \(0.972105\pi\) | |||||||
\(132\) | 2.75008 | − | 5.96279i | 0.239364 | − | 0.518994i | ||||
\(133\) | −19.5607 | + | 10.8134i | −1.69613 | + | 0.937637i | ||||
\(134\) | 2.97623 | + | 0.653264i | 0.257107 | + | 0.0564334i | ||||
\(135\) | − | 5.63459i | − | 0.484948i | ||||||
\(136\) | 1.91238 | − | 2.52502i | 0.163985 | − | 0.216519i | ||||
\(137\) | 4.20941 | 0.359634 | 0.179817 | − | 0.983700i | \(-0.442449\pi\) | ||||
0.179817 | + | 0.983700i | \(0.442449\pi\) | |||||||
\(138\) | −4.87144 | − | 1.06925i | −0.414684 | − | 0.0910207i | ||||
\(139\) | 4.20658i | 0.356798i | 0.983958 | + | 0.178399i | \(0.0570917\pi\) | ||||
−0.983958 | + | 0.178399i | \(0.942908\pi\) | |||||||
\(140\) | −0.385215 | − | 5.27746i | −0.0325566 | − | 0.446027i | ||||
\(141\) | − | 12.6195i | − | 1.06275i | ||||||
\(142\) | 2.38669 | − | 10.8736i | 0.200287 | − | 0.912494i | ||||
\(143\) | −3.84571 | −0.321594 | ||||||||
\(144\) | 3.11968 | + | 3.65513i | 0.259973 | + | 0.304594i | ||||
\(145\) | − | 3.43282i | − | 0.285080i | ||||||
\(146\) | 3.82465 | − | 17.4249i | 0.316530 | − | 1.44209i | ||||
\(147\) | 7.94998 | + | 4.99310i | 0.655704 | + | 0.411824i | ||||
\(148\) | 5.21597 | − | 11.3094i | 0.428750 | − | 0.929625i | ||||
\(149\) | − | 19.1438i | − | 1.56832i | −0.620560 | − | 0.784159i | \(-0.713094\pi\) | ||
0.620560 | − | 0.784159i | \(-0.286906\pi\) | |||||||
\(150\) | −0.406623 | + | 1.85255i | −0.0332006 | + | 0.151260i | ||||
\(151\) | 2.73232i | 0.222353i | 0.993801 | + | 0.111177i | \(0.0354619\pi\) | ||||
−0.993801 | + | 0.111177i | \(0.964538\pi\) | |||||||
\(152\) | −14.4260 | + | 19.0474i | −1.17010 | + | 1.54495i | ||||
\(153\) | 1.34537i | 0.108767i | ||||||||
\(154\) | 2.60991 | + | 8.78021i | 0.210312 | + | 0.707529i | ||||
\(155\) | −9.70304 | −0.779367 | ||||||||
\(156\) | −1.76469 | + | 3.82624i | −0.141289 | + | 0.306345i | ||||
\(157\) | 13.5441 | 1.08094 | 0.540468 | − | 0.841365i | \(-0.318247\pi\) | ||||
0.540468 | + | 0.841365i | \(0.318247\pi\) | |||||||
\(158\) | −2.33628 | + | 10.6440i | −0.185865 | + | 0.846788i | ||||
\(159\) | 15.5661 | 1.23448 | ||||||||
\(160\) | −2.66455 | − | 4.99001i | −0.210651 | − | 0.394495i | ||||
\(161\) | 6.08880 | − | 3.36595i | 0.479865 | − | 0.265274i | ||||
\(162\) | 5.45990 | + | 1.19842i | 0.428971 | + | 0.0941565i | ||||
\(163\) | −18.5317 | −1.45151 | −0.725756 | − | 0.687953i | \(-0.758510\pi\) | ||||
−0.725756 | + | 0.687953i | \(0.758510\pi\) | |||||||
\(164\) | −2.62283 | + | 5.68687i | −0.204808 | + | 0.444070i | ||||
\(165\) | − | 3.28321i | − | 0.255597i | ||||||
\(166\) | 0.246567 | − | 1.12334i | 0.0191373 | − | 0.0871884i | ||||
\(167\) | −7.74592 | −0.599397 | −0.299699 | − | 0.954034i | \(-0.596886\pi\) | ||||
−0.299699 | + | 0.954034i | \(0.596886\pi\) | |||||||
\(168\) | 9.93339 | + | 1.43231i | 0.766378 | + | 0.110505i | ||||
\(169\) | −10.5323 | −0.810174 | ||||||||
\(170\) | 0.339538 | − | 1.54691i | 0.0260414 | − | 0.118643i | ||||
\(171\) | − | 10.1488i | − | 0.776097i | ||||||
\(172\) | 13.5392 | + | 6.24440i | 1.03236 | + | 0.476131i | ||||
\(173\) | −13.6112 | −1.03484 | −0.517421 | − | 0.855731i | \(-0.673108\pi\) | ||||
−0.517421 | + | 0.855731i | \(0.673108\pi\) | |||||||
\(174\) | 6.35946 | + | 1.39586i | 0.482109 | + | 0.105820i | ||||
\(175\) | −1.28003 | − | 2.31550i | −0.0967612 | − | 0.175035i | ||||
\(176\) | 6.35714 | + | 7.44827i | 0.479188 | + | 0.561434i | ||||
\(177\) | 8.26193 | 0.621005 | ||||||||
\(178\) | 1.55322 | − | 7.07638i | 0.116419 | − | 0.530397i | ||||
\(179\) | −17.3370 | −1.29583 | −0.647914 | − | 0.761714i | \(-0.724358\pi\) | ||||
−0.647914 | + | 0.761714i | \(0.724358\pi\) | |||||||
\(180\) | 2.18185 | + | 1.00629i | 0.162626 | + | 0.0750042i | ||||
\(181\) | 11.8268 | 0.879076 | 0.439538 | − | 0.898224i | \(-0.355142\pi\) | ||||
0.439538 | + | 0.898224i | \(0.355142\pi\) | |||||||
\(182\) | −1.67474 | − | 5.63414i | −0.124140 | − | 0.417631i | ||||
\(183\) | − | 12.6634i | − | 0.936105i | ||||||
\(184\) | 4.49049 | − | 5.92903i | 0.331043 | − | 0.437094i | ||||
\(185\) | − | 6.22712i | − | 0.457827i | ||||||
\(186\) | 3.94548 | − | 17.9753i | 0.289297 | − | 1.31802i | ||||
\(187\) | 2.74154i | 0.200481i | ||||||||
\(188\) | 17.0892 | + | 7.88165i | 1.24635 | + | 0.574828i | ||||
\(189\) | −13.0469 | + | 7.21244i | −0.949019 | + | 0.524628i | ||||
\(190\) | −2.56130 | + | 11.6691i | −0.185816 | + | 0.846566i | ||||
\(191\) | 20.5823i | 1.48929i | 0.667463 | + | 0.744643i | \(0.267380\pi\) | ||||
−0.667463 | + | 0.744643i | \(0.732620\pi\) | |||||||
\(192\) | 10.3277 | − | 2.90715i | 0.745337 | − | 0.209806i | ||||
\(193\) | 10.0690 | 0.724781 | 0.362391 | − | 0.932026i | \(-0.381961\pi\) | ||||
0.362391 | + | 0.932026i | \(0.381961\pi\) | |||||||
\(194\) | −0.252850 | + | 1.15197i | −0.0181536 | + | 0.0827065i | ||||
\(195\) | 2.10679i | 0.150870i | ||||||||
\(196\) | −11.7269 | + | 7.64728i | −0.837633 | + | 0.546234i | ||||
\(197\) | 4.59538i | 0.327407i | 0.986510 | + | 0.163704i | \(0.0523441\pi\) | ||||
−0.986510 | + | 0.163704i | \(0.947656\pi\) | |||||||
\(198\) | −4.06254 | − | 0.891704i | −0.288712 | − | 0.0633706i | ||||
\(199\) | −2.15447 | −0.152727 | −0.0763633 | − | 0.997080i | \(-0.524331\pi\) | ||||
−0.0763633 | + | 0.997080i | \(0.524331\pi\) | |||||||
\(200\) | −2.25474 | − | 1.70768i | −0.159434 | − | 0.120751i | ||||
\(201\) | 2.88962i | 0.203818i | ||||||||
\(202\) | −7.63049 | − | 1.67485i | −0.536879 | − | 0.117842i | ||||
\(203\) | −7.94868 | + | 4.39411i | −0.557888 | + | 0.308406i | ||||
\(204\) | 2.72767 | + | 1.25802i | 0.190975 | + | 0.0880791i | ||||
\(205\) | 3.13128i | 0.218698i | ||||||||
\(206\) | −16.2549 | − | 3.56784i | −1.13253 | − | 0.248583i | ||||
\(207\) | 3.15909i | 0.219572i | ||||||||
\(208\) | −4.07929 | − | 4.77946i | −0.282848 | − | 0.331396i | ||||
\(209\) | − | 20.6808i | − | 1.43052i | ||||||
\(210\) | 4.81006 | − | 1.42978i | 0.331925 | − | 0.0986644i | ||||
\(211\) | −11.7444 | −0.808515 | −0.404258 | − | 0.914645i | \(-0.632470\pi\) | ||||
−0.404258 | + | 0.914645i | \(0.632470\pi\) | |||||||
\(212\) | −9.72203 | + | 21.0795i | −0.667712 | + | 1.44775i | ||||
\(213\) | 10.5572 | 0.723367 | ||||||||
\(214\) | 1.91994 | + | 0.421416i | 0.131245 | + | 0.0288074i | ||||
\(215\) | 7.45492 | 0.508422 | ||||||||
\(216\) | −9.62205 | + | 12.7045i | −0.654697 | + | 0.864433i | ||||
\(217\) | 12.4202 | + | 22.4673i | 0.843137 | + | 1.52518i | ||||
\(218\) | −0.326007 | + | 1.48527i | −0.0220800 | + | 0.100595i | ||||
\(219\) | 16.9178 | 1.14320 | ||||||||
\(220\) | 4.44608 | + | 2.05057i | 0.299755 | + | 0.138249i | ||||
\(221\) | − | 1.75921i | − | 0.118337i | ||||||
\(222\) | 11.5360 | + | 2.53209i | 0.774249 | + | 0.169943i | ||||
\(223\) | −6.92127 | −0.463482 | −0.231741 | − | 0.972777i | \(-0.574442\pi\) | ||||
−0.231741 | + | 0.972777i | \(0.574442\pi\) | |||||||
\(224\) | −8.14364 | + | 12.5571i | −0.544120 | + | 0.839008i | ||||
\(225\) | 1.20136 | 0.0800908 | ||||||||
\(226\) | −15.4663 | − | 3.39476i | −1.02880 | − | 0.225816i | ||||
\(227\) | 12.2022i | 0.809890i | 0.914341 | + | 0.404945i | \(0.132709\pi\) | ||||
−0.914341 | + | 0.404945i | \(0.867291\pi\) | |||||||
\(228\) | −20.5761 | − | 9.48986i | −1.36269 | − | 0.628481i | ||||
\(229\) | 12.2581 | 0.810041 | 0.405021 | − | 0.914308i | \(-0.367264\pi\) | ||||
0.405021 | + | 0.914308i | \(0.367264\pi\) | |||||||
\(230\) | 0.797275 | − | 3.63233i | 0.0525707 | − | 0.239509i | ||||
\(231\) | −7.60226 | + | 4.20261i | −0.500192 | + | 0.276511i | ||||
\(232\) | −5.86214 | + | 7.74010i | −0.384868 | + | 0.508163i | ||||
\(233\) | −10.1521 | −0.665083 | −0.332542 | − | 0.943089i | \(-0.607906\pi\) | ||||
−0.332542 | + | 0.943089i | \(0.607906\pi\) | |||||||
\(234\) | 2.60688 | + | 0.572195i | 0.170417 | + | 0.0374055i | ||||
\(235\) | 9.40956 | 0.613812 | ||||||||
\(236\) | −5.16009 | + | 11.1882i | −0.335893 | + | 0.728291i | ||||
\(237\) | −10.3342 | −0.671279 | ||||||||
\(238\) | −4.01649 | + | 1.19390i | −0.260350 | + | 0.0773889i | ||||
\(239\) | − | 5.57510i | − | 0.360624i | −0.983610 | − | 0.180312i | \(-0.942289\pi\) | ||
0.983610 | − | 0.180312i | \(-0.0577107\pi\) | |||||||
\(240\) | 4.08038 | − | 3.48263i | 0.263387 | − | 0.224803i | ||||
\(241\) | − | 20.9813i | − | 1.35152i | −0.737120 | − | 0.675762i | \(-0.763815\pi\) | ||
0.737120 | − | 0.675762i | \(-0.236185\pi\) | |||||||
\(242\) | 6.91615 | + | 1.51805i | 0.444587 | + | 0.0975842i | ||||
\(243\) | − | 11.6027i | − | 0.744316i | ||||||
\(244\) | 17.1486 | + | 7.90908i | 1.09783 | + | 0.506327i | ||||
\(245\) | −3.72304 | + | 5.92781i | −0.237857 | + | 0.378714i | ||||
\(246\) | −5.80085 | − | 1.27325i | −0.369848 | − | 0.0811795i | ||||
\(247\) | 13.2706i | 0.844386i | ||||||||
\(248\) | 21.8778 | + | 16.5696i | 1.38924 | + | 1.05217i | ||||
\(249\) | 1.09065 | 0.0691174 | ||||||||
\(250\) | −1.38133 | − | 0.303194i | −0.0873630 | − | 0.0191757i | ||||
\(251\) | 22.8742i | 1.44381i | 0.691995 | + | 0.721903i | \(0.256732\pi\) | ||||
−0.691995 | + | 0.721903i | \(0.743268\pi\) | |||||||
\(252\) | −0.462783 | − | 6.34014i | −0.0291526 | − | 0.399392i | ||||
\(253\) | 6.43746i | 0.404720i | ||||||||
\(254\) | 4.97803 | − | 22.6796i | 0.312349 | − | 1.42304i | ||||
\(255\) | 1.50190 | 0.0940525 | ||||||||
\(256\) | −2.51345 | + | 15.8013i | −0.157091 | + | 0.987584i | ||||
\(257\) | − | 28.8767i | − | 1.80128i | −0.434566 | − | 0.900640i | \(-0.643098\pi\) | ||
0.434566 | − | 0.900640i | \(-0.356902\pi\) | |||||||
\(258\) | −3.03134 | + | 13.8106i | −0.188723 | + | 0.859811i | ||||
\(259\) | −14.4189 | + | 7.97091i | −0.895946 | + | 0.495288i | ||||
\(260\) | −2.85299 | − | 1.31582i | −0.176935 | − | 0.0816039i | ||||
\(261\) | − | 4.12406i | − | 0.255273i | ||||||
\(262\) | 0.607442 | − | 2.76746i | 0.0375279 | − | 0.170974i | ||||
\(263\) | − | 19.6017i | − | 1.20869i | −0.796722 | − | 0.604347i | \(-0.793434\pi\) | ||
0.796722 | − | 0.604347i | \(-0.206566\pi\) | |||||||
\(264\) | −5.60666 | + | 7.40277i | −0.345066 | + | 0.455609i | ||||
\(265\) | 11.6067i | 0.712995i | ||||||||
\(266\) | 30.2983 | − | 9.00614i | 1.85771 | − | 0.552202i | ||||
\(267\) | 6.87045 | 0.420465 | ||||||||
\(268\) | −3.91309 | − | 1.80475i | −0.239030 | − | 0.110243i | ||||
\(269\) | 27.2431 | 1.66104 | 0.830520 | − | 0.556988i | \(-0.188043\pi\) | ||||
0.830520 | + | 0.556988i | \(0.188043\pi\) | |||||||
\(270\) | −1.70837 | + | 7.78322i | −0.103968 | + | 0.473672i | ||||
\(271\) | 26.0339 | 1.58144 | 0.790722 | − | 0.612175i | \(-0.209705\pi\) | ||||
0.790722 | + | 0.612175i | \(0.209705\pi\) | |||||||
\(272\) | −3.40720 | + | 2.90806i | −0.206592 | + | 0.176327i | ||||
\(273\) | 4.87827 | − | 2.69676i | 0.295246 | − | 0.163215i | ||||
\(274\) | −5.81458 | − | 1.27627i | −0.351272 | − | 0.0771020i | ||||
\(275\) | 2.44809 | 0.147625 | ||||||||
\(276\) | 6.40488 | + | 2.95398i | 0.385528 | + | 0.177809i | ||||
\(277\) | − | 5.64829i | − | 0.339373i | −0.985498 | − | 0.169687i | \(-0.945724\pi\) | ||
0.985498 | − | 0.169687i | \(-0.0542755\pi\) | |||||||
\(278\) | 1.27541 | − | 5.81068i | 0.0764940 | − | 0.348501i | ||||
\(279\) | −11.6569 | −0.697878 | ||||||||
\(280\) | −1.06798 | + | 7.40671i | −0.0638242 | + | 0.442636i | ||||
\(281\) | 25.9379 | 1.54733 | 0.773663 | − | 0.633598i | \(-0.218422\pi\) | ||||
0.773663 | + | 0.633598i | \(0.218422\pi\) | |||||||
\(282\) | −3.82615 | + | 17.4317i | −0.227844 | + | 1.03804i | ||||
\(283\) | 12.6062i | 0.749358i | 0.927155 | + | 0.374679i | \(0.122247\pi\) | ||||
−0.927155 | + | 0.374679i | \(0.877753\pi\) | |||||||
\(284\) | −6.59363 | + | 14.2964i | −0.391260 | + | 0.848337i | ||||
\(285\) | −11.3295 | −0.671103 | ||||||||
\(286\) | 5.31219 | + | 1.16599i | 0.314116 | + | 0.0689467i | ||||
\(287\) | 7.25047 | − | 4.00813i | 0.427982 | − | 0.236593i | ||||
\(288\) | −3.20109 | − | 5.99481i | −0.188626 | − | 0.353247i | ||||
\(289\) | 15.7459 | 0.926229 | ||||||||
\(290\) | −1.04081 | + | 4.74186i | −0.0611184 | + | 0.278451i | ||||
\(291\) | −1.11844 | −0.0655644 | ||||||||
\(292\) | −10.5662 | + | 22.9099i | −0.618341 | + | 1.34070i | ||||
\(293\) | −16.7982 | −0.981362 | −0.490681 | − | 0.871339i | \(-0.663252\pi\) | ||||
−0.490681 | + | 0.871339i | \(0.663252\pi\) | |||||||
\(294\) | −9.46768 | − | 9.30750i | −0.552166 | − | 0.542824i | ||||
\(295\) | 6.16041i | 0.358673i | ||||||||
\(296\) | −10.6339 | + | 14.0405i | −0.618083 | + | 0.816089i | ||||
\(297\) | − | 13.7939i | − | 0.800406i | ||||||
\(298\) | −5.80427 | + | 26.4439i | −0.336232 | + | 1.53185i | ||||
\(299\) | − | 4.13083i | − | 0.238892i | ||||||
\(300\) | 1.12336 | − | 2.43569i | 0.0648573 | − | 0.140625i | ||||
\(301\) | −9.54253 | − | 17.2618i | −0.550022 | − | 0.994956i | ||||
\(302\) | 0.828423 | − | 3.77424i | 0.0476704 | − | 0.217183i | ||||
\(303\) | − | 7.40844i | − | 0.425604i | ||||||
\(304\) | 25.7021 | − | 21.9369i | 1.47412 | − | 1.25817i | ||||
\(305\) | 9.44231 | 0.540665 | ||||||||
\(306\) | 0.407908 | − | 1.85840i | 0.0233186 | − | 0.106238i | ||||
\(307\) | − | 5.08609i | − | 0.290279i | −0.989411 | − | 0.145139i | \(-0.953637\pi\) | ||
0.989411 | − | 0.145139i | \(-0.0463630\pi\) | |||||||
\(308\) | −0.943039 | − | 12.9197i | −0.0537347 | − | 0.736167i | ||||
\(309\) | − | 15.7818i | − | 0.897797i | ||||||
\(310\) | 13.4031 | + | 2.94190i | 0.761245 | + | 0.167089i | ||||
\(311\) | −16.9297 | −0.959994 | −0.479997 | − | 0.877270i | \(-0.659362\pi\) | ||||
−0.479997 | + | 0.877270i | \(0.659362\pi\) | |||||||
\(312\) | 3.59772 | − | 4.75026i | 0.203681 | − | 0.268931i | ||||
\(313\) | 8.30791i | 0.469591i | 0.972045 | + | 0.234795i | \(0.0754420\pi\) | ||||
−0.972045 | + | 0.234795i | \(0.924558\pi\) | |||||||
\(314\) | −18.7089 | − | 4.10648i | −1.05580 | − | 0.231742i | ||||
\(315\) | −1.53778 | − | 2.78175i | −0.0866441 | − | 0.156734i | ||||
\(316\) | 6.45436 | − | 13.9945i | 0.363086 | − | 0.787251i | ||||
\(317\) | 10.7428i | 0.603376i | 0.953407 | + | 0.301688i | \(0.0975501\pi\) | ||||
−0.953407 | + | 0.301688i | \(0.902450\pi\) | |||||||
\(318\) | −21.5020 | − | 4.71956i | −1.20577 | − | 0.264660i | ||||
\(319\) | − | 8.40383i | − | 0.470524i | ||||||
\(320\) | 2.16769 | + | 7.70072i | 0.121177 | + | 0.430484i | ||||
\(321\) | 1.86407i | 0.104042i | ||||||||
\(322\) | −9.43119 | + | 2.80341i | −0.525579 | + | 0.156228i | ||||
\(323\) | 9.46038 | 0.526390 | ||||||||
\(324\) | −7.17858 | − | 3.31082i | −0.398810 | − | 0.183934i | ||||
\(325\) | −1.57090 | −0.0871381 | ||||||||
\(326\) | 25.5983 | + | 5.61868i | 1.41776 | + | 0.311190i | ||||
\(327\) | −1.44205 | −0.0797453 | ||||||||
\(328\) | 5.34721 | − | 7.06022i | 0.295250 | − | 0.389835i | ||||
\(329\) | −12.0445 | − | 21.7878i | −0.664036 | − | 1.20120i | ||||
\(330\) | −0.995448 | + | 4.53519i | −0.0547976 | + | 0.249654i | ||||
\(331\) | 12.1739 | 0.669140 | 0.334570 | − | 0.942371i | \(-0.391409\pi\) | ||||
0.334570 | + | 0.942371i | \(0.391409\pi\) | |||||||
\(332\) | −0.681182 | + | 1.47695i | −0.0373847 | + | 0.0810583i | ||||
\(333\) | − | 7.48103i | − | 0.409958i | ||||||
\(334\) | 10.6997 | + | 2.34851i | 0.585460 | + | 0.128505i | ||||
\(335\) | −2.15461 | −0.117719 | ||||||||
\(336\) | −13.2870 | − | 4.99023i | −0.724867 | − | 0.272239i | ||||
\(337\) | −11.5686 | −0.630179 | −0.315090 | − | 0.949062i | \(-0.602035\pi\) | ||||
−0.315090 | + | 0.949062i | \(0.602035\pi\) | |||||||
\(338\) | 14.5485 | + | 3.19331i | 0.791336 | + | 0.173693i | ||||
\(339\) | − | 15.0162i | − | 0.815569i | ||||||
\(340\) | −0.938029 | + | 2.03385i | −0.0508718 | + | 0.110301i | ||||
\(341\) | −23.7539 | −1.28634 | ||||||||
\(342\) | −3.07705 | + | 14.0188i | −0.166388 | + | 0.758051i | ||||
\(343\) | 18.4914 | + | 1.03291i | 0.998444 | + | 0.0557721i | ||||
\(344\) | −16.8089 | − | 12.7306i | −0.906275 | − | 0.686388i | ||||
\(345\) | 3.52663 | 0.189867 | ||||||||
\(346\) | 18.8016 | + | 4.12684i | 1.01078 | + | 0.221860i | ||||
\(347\) | −10.6711 | −0.572854 | −0.286427 | − | 0.958102i | \(-0.592468\pi\) | ||||
−0.286427 | + | 0.958102i | \(0.592468\pi\) | |||||||
\(348\) | −8.36130 | − | 3.85630i | −0.448213 | − | 0.206719i | ||||
\(349\) | −14.5060 | −0.776486 | −0.388243 | − | 0.921557i | \(-0.626918\pi\) | ||||
−0.388243 | + | 0.921557i | \(0.626918\pi\) | |||||||
\(350\) | 1.06610 | + | 3.58656i | 0.0569855 | + | 0.191710i | ||||
\(351\) | 8.85139i | 0.472452i | ||||||||
\(352\) | −6.52305 | − | 12.2160i | −0.347680 | − | 0.651113i | ||||
\(353\) | − | 33.2031i | − | 1.76722i | −0.468221 | − | 0.883611i | \(-0.655105\pi\) | ||
0.468221 | − | 0.883611i | \(-0.344895\pi\) | |||||||
\(354\) | −11.4125 | − | 2.50496i | −0.606565 | − | 0.133137i | ||||
\(355\) | 7.87185i | 0.417794i | ||||||||
\(356\) | −4.29103 | + | 9.30389i | −0.227424 | + | 0.493105i | ||||
\(357\) | −1.92247 | − | 3.47764i | −0.101748 | − | 0.184056i | ||||
\(358\) | 23.9481 | + | 5.25646i | 1.26570 | + | 0.277813i | ||||
\(359\) | − | 13.3218i | − | 0.703097i | −0.936170 | − | 0.351549i | \(-0.885655\pi\) | ||
0.936170 | − | 0.351549i | \(-0.114345\pi\) | |||||||
\(360\) | −2.70876 | − | 2.05154i | −0.142764 | − | 0.108126i | ||||
\(361\) | −52.3642 | −2.75601 | ||||||||
\(362\) | −16.3367 | − | 3.58580i | −0.858636 | − | 0.188465i | ||||
\(363\) | 6.71489i | 0.352440i | ||||||||
\(364\) | 0.605136 | + | 8.29039i | 0.0317177 | + | 0.434534i | ||||
\(365\) | 12.6145i | 0.660275i | ||||||||
\(366\) | −3.83946 | + | 17.4923i | −0.200692 | + | 0.914338i | ||||
\(367\) | −25.9412 | −1.35412 | −0.677059 | − | 0.735929i | \(-0.736746\pi\) | ||||
−0.677059 | + | 0.735929i | \(0.736746\pi\) | |||||||
\(368\) | −8.00049 | + | 6.82847i | −0.417054 | + | 0.355958i | ||||
\(369\) | 3.76180i | 0.195832i | ||||||||
\(370\) | −1.88802 | + | 8.60171i | −0.0981537 | + | 0.447182i | ||||
\(371\) | 26.8753 | − | 14.8569i | 1.39530 | − | 0.771334i | ||||
\(372\) | −10.9000 | + | 23.6336i | −0.565140 | + | 1.22535i | ||||
\(373\) | 30.5923i | 1.58401i | 0.610515 | + | 0.792005i | \(0.290963\pi\) | ||||
−0.610515 | + | 0.792005i | \(0.709037\pi\) | |||||||
\(374\) | 0.831218 | − | 3.78698i | 0.0429813 | − | 0.195820i | ||||
\(375\) | − | 1.34113i | − | 0.0692558i | ||||||
\(376\) | −21.2161 | − | 16.0685i | −1.09414 | − | 0.828669i | ||||
\(377\) | 5.39263i | 0.277734i | ||||||||
\(378\) | 20.2088 | − | 6.00704i | 1.03943 | − | 0.308969i | ||||
\(379\) | −10.6930 | −0.549262 | −0.274631 | − | 0.961550i | \(-0.588556\pi\) | ||||
−0.274631 | + | 0.961550i | \(0.588556\pi\) | |||||||
\(380\) | 7.07600 | − | 15.3423i | 0.362991 | − | 0.787045i | ||||
\(381\) | 22.0196 | 1.12810 | ||||||||
\(382\) | 6.24044 | − | 28.4310i | 0.319288 | − | 1.45466i | ||||
\(383\) | 9.36792 | 0.478679 | 0.239339 | − | 0.970936i | \(-0.423069\pi\) | ||||
0.239339 | + | 0.970936i | \(0.423069\pi\) | |||||||
\(384\) | −15.1474 | + | 0.884449i | −0.772987 | + | 0.0451343i | ||||
\(385\) | −3.13362 | − | 5.66853i | −0.159704 | − | 0.288895i | ||||
\(386\) | −13.9086 | − | 3.05285i | −0.707929 | − | 0.155386i | ||||
\(387\) | 8.95606 | 0.455262 | ||||||||
\(388\) | 0.698539 | − | 1.51459i | 0.0354629 | − | 0.0768914i | ||||
\(389\) | − | 2.30373i | − | 0.116804i | −0.998293 | − | 0.0584019i | \(-0.981399\pi\) | ||
0.998293 | − | 0.0584019i | \(-0.0186005\pi\) | |||||||
\(390\) | 0.638766 | − | 2.91017i | 0.0323452 | − | 0.147362i | ||||
\(391\) | −2.94480 | −0.148925 | ||||||||
\(392\) | 18.5173 | − | 7.00791i | 0.935263 | − | 0.353953i | ||||
\(393\) | 2.68693 | 0.135538 | ||||||||
\(394\) | 1.39329 | − | 6.34774i | 0.0701929 | − | 0.319794i | ||||
\(395\) | − | 7.70558i | − | 0.387710i | ||||||
\(396\) | 5.34136 | + | 2.46348i | 0.268413 | + | 0.123794i | ||||
\(397\) | 1.77718 | 0.0891942 | 0.0445971 | − | 0.999005i | \(-0.485800\pi\) | ||||
0.0445971 | + | 0.999005i | \(0.485800\pi\) | |||||||
\(398\) | 2.97604 | + | 0.653222i | 0.149175 | + | 0.0327431i | ||||
\(399\) | 14.5021 | + | 26.2335i | 0.726015 | + | 1.31332i | ||||
\(400\) | 2.59678 | + | 3.04249i | 0.129839 | + | 0.152124i | ||||
\(401\) | 17.8159 | 0.889682 | 0.444841 | − | 0.895609i | \(-0.353260\pi\) | ||||
0.444841 | + | 0.895609i | \(0.353260\pi\) | |||||||
\(402\) | 0.876114 | − | 3.99152i | 0.0436966 | − | 0.199079i | ||||
\(403\) | 15.2425 | 0.759285 | ||||||||
\(404\) | 10.0324 | + | 4.62703i | 0.499132 | + | 0.230203i | ||||
\(405\) | −3.95264 | −0.196408 | ||||||||
\(406\) | 12.3120 | − | 3.65973i | 0.611035 | − | 0.181629i | ||||
\(407\) | − | 15.2445i | − | 0.755643i | ||||||
\(408\) | −3.38639 | − | 2.56475i | −0.167651 | − | 0.126974i | ||||
\(409\) | 37.8691i | 1.87250i | 0.351329 | + | 0.936252i | \(0.385730\pi\) | ||||
−0.351329 | + | 0.936252i | \(0.614270\pi\) | |||||||
\(410\) | 0.949384 | − | 4.32533i | 0.0468868 | − | 0.213613i | ||||
\(411\) | − | 5.64538i | − | 0.278466i | ||||||
\(412\) | 21.3716 | + | 9.85674i | 1.05290 | + | 0.485606i | ||||
\(413\) | 14.2644 | − | 7.88551i | 0.701906 | − | 0.388021i | ||||
\(414\) | 0.957816 | − | 4.36375i | 0.0470741 | − | 0.214466i | ||||
\(415\) | 0.813234i | 0.0399201i | ||||||||
\(416\) | 4.18575 | + | 7.83882i | 0.205223 | + | 0.384330i | ||||
\(417\) | 5.64159 | 0.276270 | ||||||||
\(418\) | −6.27028 | + | 28.5670i | −0.306689 | + | 1.39726i | ||||
\(419\) | 3.11076i | 0.151971i | 0.997109 | + | 0.0759854i | \(0.0242102\pi\) | ||||
−0.997109 | + | 0.0759854i | \(0.975790\pi\) | |||||||
\(420\) | −7.07778 | + | 0.516625i | −0.345360 | + | 0.0252087i | ||||
\(421\) | − | 18.8952i | − | 0.920893i | −0.887687 | − | 0.460447i | \(-0.847689\pi\) | ||
0.887687 | − | 0.460447i | \(-0.152311\pi\) | |||||||
\(422\) | 16.2228 | + | 3.56082i | 0.789716 | + | 0.173338i | ||||
\(423\) | 11.3043 | 0.549634 | ||||||||
\(424\) | 19.8205 | − | 26.1701i | 0.962569 | − | 1.27093i | ||||
\(425\) | 1.11987i | 0.0543218i | ||||||||
\(426\) | −14.5830 | − | 3.20088i | −0.706548 | − | 0.155083i | ||||
\(427\) | −12.0864 | − | 21.8636i | −0.584904 | − | 1.05805i | ||||
\(428\) | −2.52430 | − | 1.16423i | −0.122017 | − | 0.0562751i | ||||
\(429\) | 5.15760i | 0.249011i | ||||||||
\(430\) | −10.2977 | − | 2.26029i | −0.496600 | − | 0.109001i | ||||
\(431\) | 38.2730i | 1.84355i | 0.387730 | + | 0.921773i | \(0.373259\pi\) | ||||
−0.387730 | + | 0.921773i | \(0.626741\pi\) | |||||||
\(432\) | 17.1432 | − | 14.6318i | 0.824800 | − | 0.703972i | ||||
\(433\) | − | 1.50589i | − | 0.0723684i | −0.999345 | − | 0.0361842i | \(-0.988480\pi\) | ||
0.999345 | − | 0.0361842i | \(-0.0115203\pi\) | |||||||
\(434\) | −10.3444 | − | 34.8005i | −0.496548 | − | 1.67048i | ||||
\(435\) | −4.60387 | −0.220738 | ||||||||
\(436\) | 0.900648 | − | 1.95280i | 0.0431332 | − | 0.0935223i | ||||
\(437\) | 22.2141 | 1.06264 | ||||||||
\(438\) | −23.3690 | − | 5.12936i | −1.11662 | − | 0.245090i | ||||
\(439\) | −5.00779 | −0.239009 | −0.119504 | − | 0.992834i | \(-0.538131\pi\) | ||||
−0.119504 | + | 0.992834i | \(0.538131\pi\) | |||||||
\(440\) | −5.51979 | − | 4.18054i | −0.263146 | − | 0.199299i | ||||
\(441\) | −4.47272 | + | 7.12145i | −0.212987 | + | 0.339117i | ||||
\(442\) | −0.533382 | + | 2.43005i | −0.0253704 | + | 0.115586i | ||||
\(443\) | −24.9714 | −1.18643 | −0.593213 | − | 0.805046i | \(-0.702141\pi\) | ||||
−0.593213 | + | 0.805046i | \(0.702141\pi\) | |||||||
\(444\) | −15.1674 | − | 6.99531i | −0.719812 | − | 0.331983i | ||||
\(445\) | 5.12287i | 0.242847i | ||||||||
\(446\) | 9.56056 | + | 2.09848i | 0.452706 | + | 0.0993661i | ||||
\(447\) | −25.6743 | −1.21435 | ||||||||
\(448\) | 15.0563 | − | 14.8764i | 0.711343 | − | 0.702845i | ||||
\(449\) | −4.85721 | −0.229226 | −0.114613 | − | 0.993410i | \(-0.536563\pi\) | ||||
−0.114613 | + | 0.993410i | \(0.536563\pi\) | |||||||
\(450\) | −1.65948 | − | 0.364245i | −0.0782286 | − | 0.0171707i | ||||
\(451\) | 7.66564i | 0.360961i | ||||||||
\(452\) | 20.3348 | + | 9.37857i | 0.956468 | + | 0.441131i | ||||
\(453\) | 3.66441 | 0.172169 | ||||||||
\(454\) | 3.69964 | − | 16.8553i | 0.173633 | − | 0.791059i | ||||
\(455\) | 2.01081 | + | 3.63742i | 0.0942680 | + | 0.170525i | ||||
\(456\) | 25.5451 | + | 19.3472i | 1.19626 | + | 0.906014i | ||||
\(457\) | −21.1002 | −0.987025 | −0.493513 | − | 0.869739i | \(-0.664287\pi\) | ||||
−0.493513 | + | 0.869739i | \(0.664287\pi\) | |||||||
\(458\) | −16.9326 | − | 3.71659i | −0.791206 | − | 0.173665i | ||||
\(459\) | 6.31002 | 0.294526 | ||||||||
\(460\) | −2.20260 | + | 4.77572i | −0.102697 | + | 0.222669i | ||||
\(461\) | −11.2426 | −0.523620 | −0.261810 | − | 0.965119i | \(-0.584319\pi\) | ||||
−0.261810 | + | 0.965119i | \(0.584319\pi\) | |||||||
\(462\) | 11.7754 | − | 3.50023i | 0.547843 | − | 0.162846i | ||||
\(463\) | − | 39.4199i | − | 1.83200i | −0.401179 | − | 0.916000i | \(-0.631399\pi\) | ||
0.401179 | − | 0.916000i | \(-0.368601\pi\) | |||||||
\(464\) | 10.4443 | − | 8.91428i | 0.484865 | − | 0.413835i | ||||
\(465\) | 13.0131i | 0.603466i | ||||||||
\(466\) | 14.0233 | + | 3.07804i | 0.649619 | + | 0.142587i | ||||
\(467\) | 26.4941i | 1.22600i | 0.790083 | + | 0.613000i | \(0.210037\pi\) | ||||
−0.790083 | + | 0.613000i | \(0.789963\pi\) | |||||||
\(468\) | −3.42748 | − | 1.58078i | −0.158435 | − | 0.0730716i | ||||
\(469\) | 2.75797 | + | 4.98899i | 0.127351 | + | 0.230370i | ||||
\(470\) | −12.9977 | − | 2.85292i | −0.599540 | − | 0.131595i | ||||
\(471\) | − | 18.1644i | − | 0.836973i | ||||||
\(472\) | 10.5200 | − | 13.8901i | 0.484222 | − | 0.639344i | ||||
\(473\) | 18.2503 | 0.839149 | ||||||||
\(474\) | 14.2750 | + | 3.13327i | 0.655671 | + | 0.143916i | ||||
\(475\) | − | 8.44773i | − | 0.387608i | ||||||
\(476\) | 5.91008 | − | 0.431392i | 0.270888 | − | 0.0197728i | ||||
\(477\) | 13.9439i | 0.638446i | ||||||||
\(478\) | −1.69034 | + | 7.70106i | −0.0773142 | + | 0.352238i | ||||
\(479\) | −35.7827 | −1.63495 | −0.817477 | − | 0.575961i | \(-0.804628\pi\) | ||||
−0.817477 | + | 0.575961i | \(0.804628\pi\) | |||||||
\(480\) | −6.69226 | + | 3.57352i | −0.305459 | + | 0.163108i | ||||
\(481\) | 9.78221i | 0.446031i | ||||||||
\(482\) | −6.36140 | + | 28.9821i | −0.289754 | + | 1.32010i | ||||
\(483\) | −4.51419 | − | 8.16590i | −0.205403 | − | 0.371561i | ||||
\(484\) | −9.09323 | − | 4.19387i | −0.413329 | − | 0.190630i | ||||
\(485\) | − | 0.833955i | − | 0.0378680i | ||||||
\(486\) | −3.51788 | + | 16.0272i | −0.159574 | + | 0.727009i | ||||
\(487\) | 12.4491i | 0.564125i | 0.959396 | + | 0.282062i | \(0.0910185\pi\) | ||||
−0.959396 | + | 0.282062i | \(0.908982\pi\) | |||||||
\(488\) | −21.2899 | − | 16.1244i | −0.963750 | − | 0.729917i | ||||
\(489\) | 24.8534i | 1.12391i | ||||||||
\(490\) | 6.94003 | − | 7.05946i | 0.313519 | − | 0.318914i | ||||
\(491\) | −14.4396 | −0.651649 | −0.325824 | − | 0.945430i | \(-0.605642\pi\) | ||||
−0.325824 | + | 0.945430i | \(0.605642\pi\) | |||||||
\(492\) | 7.62684 | + | 3.51756i | 0.343845 | + | 0.158584i | ||||
\(493\) | 3.84432 | 0.173139 | ||||||||
\(494\) | 4.02355 | − | 18.3310i | 0.181028 | − | 0.824753i | ||||
\(495\) | 2.94104 | 0.132190 | ||||||||
\(496\) | −25.1967 | − | 29.5214i | −1.13136 | − | 1.32555i | ||||
\(497\) | 18.2272 | − | 10.0762i | 0.817603 | − | 0.451980i | ||||
\(498\) | −1.50655 | − | 0.330680i | −0.0675103 | − | 0.0148181i | ||||
\(499\) | 22.0969 | 0.989195 | 0.494597 | − | 0.869122i | \(-0.335315\pi\) | ||||
0.494597 | + | 0.869122i | \(0.335315\pi\) | |||||||
\(500\) | 1.81615 | + | 0.837621i | 0.0812206 | + | 0.0374596i | ||||
\(501\) | 10.3883i | 0.464116i | ||||||||
\(502\) | 6.93531 | − | 31.5968i | 0.309538 | − | 1.41023i | ||||
\(503\) | 21.8311 | 0.973401 | 0.486701 | − | 0.873569i | \(-0.338200\pi\) | ||||
0.486701 | + | 0.873569i | \(0.338200\pi\) | |||||||
\(504\) | −1.28304 | + | 8.89815i | −0.0571509 | + | 0.396355i | ||||
\(505\) | 5.52401 | 0.245815 | ||||||||
\(506\) | 1.95180 | − | 8.89226i | 0.0867679 | − | 0.395309i | ||||
\(507\) | 14.1252i | 0.627320i | ||||||||
\(508\) | −13.7526 | + | 29.8187i | −0.610173 | + | 1.32299i | ||||
\(509\) | −30.6514 | −1.35860 | −0.679300 | − | 0.733861i | \(-0.737716\pi\) | ||||
−0.679300 | + | 0.733861i | \(0.737716\pi\) | |||||||
\(510\) | −2.07462 | − | 0.455366i | −0.0918656 | − | 0.0201639i | ||||
\(511\) | 29.2089 | − | 16.1470i | 1.29213 | − | 0.714301i | ||||
\(512\) | 8.26278 | − | 21.0648i | 0.365167 | − | 0.930942i | ||||
\(513\) | −47.5995 | −2.10157 | ||||||||
\(514\) | −8.75524 | + | 39.8883i | −0.386177 | + | 1.75940i | ||||
\(515\) | 11.7675 | 0.518539 | ||||||||
\(516\) | 8.37457 | − | 18.1579i | 0.368670 | − | 0.799358i | ||||
\(517\) | 23.0354 | 1.01310 | ||||||||
\(518\) | 22.3340 | − | 6.63874i | 0.981298 | − | 0.291690i | ||||
\(519\) | 18.2545i | 0.801282i | ||||||||
\(520\) | 3.54198 | + | 2.68260i | 0.155326 | + | 0.117640i | ||||
\(521\) | 7.13741i | 0.312696i | 0.987702 | + | 0.156348i | \(0.0499721\pi\) | ||||
−0.987702 | + | 0.156348i | \(0.950028\pi\) | |||||||
\(522\) | −1.25039 | + | 5.69669i | −0.0547280 | + | 0.249337i | ||||
\(523\) | − | 31.6160i | − | 1.38247i | −0.722630 | − | 0.691235i | \(-0.757067\pi\) | ||
0.722630 | − | 0.691235i | \(-0.242933\pi\) | |||||||
\(524\) | −1.67816 | + | 3.63861i | −0.0733105 | + | 0.158953i | ||||
\(525\) | −3.10539 | + | 1.71669i | −0.135530 | + | 0.0749225i | ||||
\(526\) | −5.94311 | + | 27.0764i | −0.259132 | + | 1.18059i | ||||
\(527\) | − | 10.8662i | − | 0.473338i | ||||||
\(528\) | 9.98912 | − | 8.52577i | 0.434721 | − | 0.371037i | ||||
\(529\) | 16.0853 | 0.699359 | ||||||||
\(530\) | 3.51908 | − | 16.0327i | 0.152859 | − | 0.696416i | ||||
\(531\) | 7.40088i | 0.321171i | ||||||||
\(532\) | −44.5826 | + | 3.25419i | −1.93290 | + | 0.141087i | ||||
\(533\) | − | 4.91894i | − | 0.213063i | ||||||
\(534\) | −9.49036 | − | 2.08308i | −0.410688 | − | 0.0901436i | ||||
\(535\) | −1.38992 | −0.0600916 | ||||||||
\(536\) | 4.85808 | + | 3.67938i | 0.209837 | + | 0.158925i | ||||
\(537\) | 23.2512i | 1.00336i | ||||||||
\(538\) | −37.6317 | − | 8.25993i | −1.62242 | − | 0.356111i | ||||
\(539\) | −9.11433 | + | 14.5118i | −0.392582 | + | 0.625067i | ||||
\(540\) | 4.71965 | − | 10.2332i | 0.203101 | − | 0.440368i | ||||
\(541\) | − | 39.5347i | − | 1.69973i | −0.526999 | − | 0.849866i | \(-0.676683\pi\) | ||
0.526999 | − | 0.849866i | \(-0.323317\pi\) | |||||||
\(542\) | −35.9614 | − | 7.89330i | −1.54467 | − | 0.339046i | ||||
\(543\) | − | 15.8613i | − | 0.680672i | ||||||
\(544\) | 5.58817 | − | 2.98396i | 0.239591 | − | 0.127936i | ||||
\(545\) | − | 1.07524i | − | 0.0460584i | ||||||
\(546\) | −7.55614 | + | 2.24605i | −0.323373 | + | 0.0961222i | ||||
\(547\) | 27.6549 | 1.18244 | 0.591218 | − | 0.806512i | \(-0.298647\pi\) | ||||
0.591218 | + | 0.806512i | \(0.298647\pi\) | |||||||
\(548\) | 7.64491 | + | 3.52589i | 0.326574 | + | 0.150619i | ||||
\(549\) | 11.3436 | 0.484134 | ||||||||
\(550\) | −3.38161 | − | 0.742244i | −0.144193 | − | 0.0316494i | ||||
\(551\) | −28.9995 | −1.23542 | ||||||||
\(552\) | −7.95162 | − | 6.02234i | −0.338444 | − | 0.256328i | ||||
\(553\) | −17.8422 | + | 9.86338i | −0.758730 | + | 0.419434i | ||||
\(554\) | −1.71253 | + | 7.80216i | −0.0727583 | + | 0.331482i | ||||
\(555\) | −8.35140 | −0.354497 | ||||||||
\(556\) | −3.52352 | + | 7.63977i | −0.149431 | + | 0.323999i | ||||
\(557\) | − | 29.2830i | − | 1.24076i | −0.784301 | − | 0.620380i | \(-0.786978\pi\) | ||
0.784301 | − | 0.620380i | \(-0.213022\pi\) | |||||||
\(558\) | 16.1020 | + | 3.53429i | 0.681651 | + | 0.149618i | ||||
\(559\) | −11.7110 | −0.495321 | ||||||||
\(560\) | 3.72091 | − | 9.90731i | 0.157237 | − | 0.418660i | ||||
\(561\) | 3.67677 | 0.155234 | ||||||||
\(562\) | −35.8288 | − | 7.86421i | −1.51135 | − | 0.331732i | ||||
\(563\) | − | 5.22412i | − | 0.220170i | −0.993922 | − | 0.110085i | \(-0.964888\pi\) | ||
0.993922 | − | 0.110085i | \(-0.0351124\pi\) | |||||||
\(564\) | 10.5703 | − | 22.9188i | 0.445092 | − | 0.965057i | ||||
\(565\) | 11.1967 | 0.471047 | ||||||||
\(566\) | 3.82211 | − | 17.4133i | 0.160655 | − | 0.731934i | ||||
\(567\) | 5.05950 | + | 9.15233i | 0.212479 | + | 0.384362i | ||||
\(568\) | 13.4426 | − | 17.7490i | 0.564038 | − | 0.744730i | ||||
\(569\) | 11.8297 | 0.495925 | 0.247963 | − | 0.968770i | \(-0.420239\pi\) | ||||
0.247963 | + | 0.968770i | \(0.420239\pi\) | |||||||
\(570\) | 15.6498 | + | 3.43504i | 0.655499 | + | 0.143878i | ||||
\(571\) | −22.3223 | −0.934158 | −0.467079 | − | 0.884216i | \(-0.654694\pi\) | ||||
−0.467079 | + | 0.884216i | \(0.654694\pi\) | |||||||
\(572\) | −6.98437 | − | 3.22125i | −0.292031 | − | 0.134687i | ||||
\(573\) | 27.6037 | 1.15316 | ||||||||
\(574\) | −11.2305 | + | 3.33826i | −0.468753 | + | 0.139336i | ||||
\(575\) | 2.62959i | 0.109661i | ||||||||
\(576\) | 2.60418 | + | 9.25136i | 0.108507 | + | 0.385473i | ||||
\(577\) | 25.4830i | 1.06087i | 0.847725 | + | 0.530436i | \(0.177972\pi\) | ||||
−0.847725 | + | 0.530436i | \(0.822028\pi\) | |||||||
\(578\) | −21.7503 | − | 4.77405i | −0.904692 | − | 0.198574i | ||||
\(579\) | − | 13.5038i | − | 0.561201i | ||||||
\(580\) | 2.87540 | − | 6.23450i | 0.119395 | − | 0.258874i | ||||
\(581\) | 1.88304 | − | 1.04096i | 0.0781216 | − | 0.0431865i | ||||
\(582\) | 1.54494 | + | 0.339105i | 0.0640399 | + | 0.0140564i | ||||
\(583\) | 28.4142i | 1.17680i | ||||||||
\(584\) | 21.5416 | − | 28.4425i | 0.891396 | − | 1.17696i | ||||
\(585\) | −1.88722 | −0.0780271 | ||||||||
\(586\) | 23.2039 | + | 5.09311i | 0.958543 | + | 0.210394i | ||||
\(587\) | − | 27.1365i | − | 1.12004i | −0.828478 | − | 0.560021i | \(-0.810793\pi\) | ||
0.828478 | − | 0.560021i | \(-0.189207\pi\) | |||||||
\(588\) | 10.2560 | + | 15.7273i | 0.422951 | + | 0.648582i | ||||
\(589\) | 81.9687i | 3.37746i | ||||||||
\(590\) | 1.86780 | − | 8.50956i | 0.0768960 | − | 0.350333i | ||||
\(591\) | 6.16301 | 0.253512 | ||||||||
\(592\) | 18.9459 | − | 16.1705i | 0.778673 | − | 0.664602i | ||||
\(593\) | 33.7929i | 1.38771i | 0.720116 | + | 0.693853i | \(0.244088\pi\) | ||||
−0.720116 | + | 0.693853i | \(0.755912\pi\) | |||||||
\(594\) | −4.18224 | + | 19.0540i | −0.171599 | + | 0.781795i | ||||
\(595\) | 2.59306 | − | 1.43347i | 0.106305 | − | 0.0587666i | ||||
\(596\) | 16.0352 | − | 34.7679i | 0.656829 | − | 1.42415i | ||||
\(597\) | 2.88943i | 0.118257i | ||||||||
\(598\) | −1.25244 | + | 5.70604i | −0.0512162 | + | 0.233337i | ||||
\(599\) | 26.0094i | 1.06271i | 0.847148 | + | 0.531357i | \(0.178318\pi\) | ||||
−0.847148 | + | 0.531357i | \(0.821682\pi\) | |||||||
\(600\) | −2.29022 | + | 3.02390i | −0.0934979 | + | 0.123450i | ||||
\(601\) | 25.5296i | 1.04137i | 0.853747 | + | 0.520687i | \(0.174324\pi\) | ||||
−0.853747 | + | 0.520687i | \(0.825676\pi\) | |||||||
\(602\) | 7.94770 | + | 26.7375i | 0.323924 | + | 1.08974i | ||||
\(603\) | −2.58847 | −0.105411 | ||||||||
\(604\) | −2.28865 | + | 4.96230i | −0.0931239 | + | 0.201913i | ||||
\(605\) | −5.00688 | −0.203559 | ||||||||
\(606\) | −2.24619 | + | 10.2335i | −0.0912453 | + | 0.415708i | ||||
\(607\) | 21.2033 | 0.860615 | 0.430307 | − | 0.902682i | \(-0.358405\pi\) | ||||
0.430307 | + | 0.902682i | \(0.358405\pi\) | |||||||
\(608\) | −42.1542 | + | 22.5094i | −1.70958 | + | 0.912877i | ||||
\(609\) | 5.89309 | + | 10.6602i | 0.238800 | + | 0.431974i | ||||
\(610\) | −13.0429 | − | 2.86285i | −0.528093 | − | 0.115913i | ||||
\(611\) | −14.7815 | −0.597996 | ||||||||
\(612\) | −1.12691 | + | 2.44339i | −0.0455527 | + | 0.0987684i | ||||
\(613\) | − | 0.381509i | − | 0.0154090i | −0.999970 | − | 0.00770450i | \(-0.997548\pi\) | ||
0.999970 | − | 0.00770450i | \(-0.00245244\pi\) | |||||||
\(614\) | −1.54207 | + | 7.02557i | −0.0622329 | + | 0.283529i | ||||
\(615\) | 4.19946 | 0.169339 | ||||||||
\(616\) | −2.61452 | + | 18.1323i | −0.105342 | + | 0.730570i | ||||
\(617\) | −23.7394 | −0.955714 | −0.477857 | − | 0.878438i | \(-0.658586\pi\) | ||||
−0.477857 | + | 0.878438i | \(0.658586\pi\) | |||||||
\(618\) | −4.78495 | + | 21.7999i | −0.192479 | + | 0.876921i | ||||
\(619\) | − | 3.66231i | − | 0.147201i | −0.997288 | − | 0.0736004i | \(-0.976551\pi\) | ||
0.997288 | − | 0.0736004i | \(-0.0234489\pi\) | |||||||
\(620\) | −17.6221 | − | 8.12747i | −0.707722 | − | 0.326407i | ||||
\(621\) | 14.8166 | 0.594571 | ||||||||
\(622\) | 23.3855 | + | 5.13297i | 0.937672 | + | 0.205813i | ||||
\(623\) | 11.8620 | − | 6.55743i | 0.475240 | − | 0.262718i | ||||
\(624\) | −6.40988 | + | 5.47088i | −0.256601 | + | 0.219010i | ||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | 2.51890 | − | 11.4760i | 0.100676 | − | 0.458672i | ||||
\(627\) | −27.7357 | −1.10766 | ||||||||
\(628\) | 24.5981 | + | 11.3448i | 0.981569 | + | 0.452707i | ||||
\(629\) | 6.97358 | 0.278055 | ||||||||
\(630\) | 1.28077 | + | 4.30876i | 0.0510273 | + | 0.171665i | ||||
\(631\) | − | 10.6277i | − | 0.423080i | −0.977369 | − | 0.211540i | \(-0.932152\pi\) | ||
0.977369 | − | 0.211540i | \(-0.0678479\pi\) | |||||||
\(632\) | −13.1586 | + | 17.3741i | −0.523423 | + | 0.691103i | ||||
\(633\) | 15.7508i | 0.626036i | ||||||||
\(634\) | 3.25715 | − | 14.8394i | 0.129358 | − | 0.589347i | ||||
\(635\) | 16.4186i | 0.651554i | ||||||||
\(636\) | 28.2704 | + | 13.0385i | 1.12099 | + | 0.517011i | ||||
\(637\) | 5.84854 | − | 9.31202i | 0.231728 | − | 0.368956i | ||||
\(638\) | −2.54799 | + | 11.6085i | −0.100876 | + | 0.459584i | ||||
\(639\) | 9.45694i | 0.374111i | ||||||||
\(640\) | −0.659479 | − | 11.2945i | −0.0260682 | − | 0.446453i | ||||
\(641\) | −31.4300 | −1.24141 | −0.620705 | − | 0.784044i | \(-0.713154\pi\) | ||||
−0.620705 | + | 0.784044i | \(0.713154\pi\) | |||||||
\(642\) | 0.565174 | − | 2.57490i | 0.0223057 | − | 0.101623i | ||||
\(643\) | 7.82074i | 0.308420i | 0.988038 | + | 0.154210i | \(0.0492832\pi\) | ||||
−0.988038 | + | 0.154210i | \(0.950717\pi\) | |||||||
\(644\) | 13.8776 | − | 1.01296i | 0.546852 | − | 0.0399161i | ||||
\(645\) | − | 9.99804i | − | 0.393673i | ||||||
\(646\) | −13.0679 | − | 2.86833i | −0.514150 | − | 0.112853i | ||||
\(647\) | 27.3346 | 1.07463 | 0.537317 | − | 0.843381i | \(-0.319438\pi\) | ||||
0.537317 | + | 0.843381i | \(0.319438\pi\) | |||||||
\(648\) | 8.91217 | + | 6.74983i | 0.350103 | + | 0.265158i | ||||
\(649\) | 15.0812i | 0.591989i | ||||||||
\(650\) | 2.16994 | + | 0.476288i | 0.0851119 | + | 0.0186816i | ||||
\(651\) | 30.1317 | − | 16.6571i | 1.18095 | − | 0.652844i | ||||
\(652\) | −33.6562 | − | 15.5225i | −1.31808 | − | 0.607908i | ||||
\(653\) | − | 19.6566i | − | 0.769221i | −0.923079 | − | 0.384611i | \(-0.874336\pi\) | ||
0.923079 | − | 0.384611i | \(-0.125664\pi\) | |||||||
\(654\) | 1.99194 | + | 0.437219i | 0.0778911 | + | 0.0170966i | ||||
\(655\) | 2.00348i | 0.0782823i | ||||||||
\(656\) | −9.52688 | + | 8.13125i | −0.371962 | + | 0.317472i | ||||
\(657\) | 15.1546i | 0.591239i | ||||||||
\(658\) | 10.0315 | + | 33.7480i | 0.391070 | + | 1.31563i | ||||
\(659\) | 14.1522 | 0.551293 | 0.275647 | − | 0.961259i | \(-0.411108\pi\) | ||||
0.275647 | + | 0.961259i | \(0.411108\pi\) | |||||||
\(660\) | 2.75008 | − | 5.96279i | 0.107047 | − | 0.232101i | ||||
\(661\) | −7.32100 | −0.284754 | −0.142377 | − | 0.989812i | \(-0.545475\pi\) | ||||
−0.142377 | + | 0.989812i | \(0.545475\pi\) | |||||||
\(662\) | −16.8162 | − | 3.69106i | −0.653581 | − | 0.143457i | ||||
\(663\) | −2.35934 | −0.0916291 | ||||||||
\(664\) | 1.38874 | − | 1.83363i | 0.0538935 | − | 0.0711586i | ||||
\(665\) | −19.5607 | + | 10.8134i | −0.758531 | + | 0.419324i | ||||
\(666\) | −2.26820 | + | 10.3338i | −0.0878910 | + | 0.400426i | ||||
\(667\) | 9.02690 | 0.349523 | ||||||||
\(668\) | −14.0677 | − | 6.48815i | −0.544297 | − | 0.251034i | ||||
\(669\) | 9.28234i | 0.358876i | ||||||||
\(670\) | 2.97623 | + | 0.653264i | 0.114982 | + | 0.0252378i | ||||
\(671\) | 23.1156 | 0.892367 | ||||||||
\(672\) | 16.8408 | + | 10.9217i | 0.649647 | + | 0.421314i | ||||
\(673\) | 21.5006 | 0.828786 | 0.414393 | − | 0.910098i | \(-0.363994\pi\) | ||||
0.414393 | + | 0.910098i | \(0.363994\pi\) | |||||||
\(674\) | 15.9800 | + | 3.50751i | 0.615527 | + | 0.135104i | ||||
\(675\) | − | 5.63459i | − | 0.216875i | ||||||
\(676\) | −19.1281 | − | 8.82205i | −0.735698 | − | 0.339309i | ||||
\(677\) | −41.7438 | −1.60434 | −0.802172 | − | 0.597093i | \(-0.796322\pi\) | ||||
−0.802172 | + | 0.597093i | \(0.796322\pi\) | |||||||
\(678\) | −4.55282 | + | 20.7424i | −0.174850 | + | 0.796606i | ||||
\(679\) | −1.93102 | + | 1.06749i | −0.0741057 | + | 0.0409664i | ||||
\(680\) | 1.91238 | − | 2.52502i | 0.0733364 | − | 0.0968300i | ||||
\(681\) | 16.3648 | 0.627101 | ||||||||
\(682\) | 32.8119 | + | 7.20202i | 1.25643 | + | 0.275780i | ||||
\(683\) | 26.9066 | 1.02955 | 0.514777 | − | 0.857324i | \(-0.327875\pi\) | ||||
0.514777 | + | 0.857324i | \(0.327875\pi\) | |||||||
\(684\) | 8.50084 | − | 18.4317i | 0.325038 | − | 0.704753i | ||||
\(685\) | 4.20941 | 0.160833 | ||||||||
\(686\) | −25.2296 | − | 7.03328i | −0.963271 | − | 0.268532i | ||||
\(687\) | − | 16.4398i | − | 0.627218i | ||||||
\(688\) | 19.3588 | + | 22.6815i | 0.738048 | + | 0.864724i | ||||
\(689\) | − | 18.2330i | − | 0.694623i | ||||||
\(690\) | −4.87144 | − | 1.06925i | −0.185453 | − | 0.0407057i | ||||
\(691\) | − | 17.3610i | − | 0.660443i | −0.943904 | − | 0.330221i | \(-0.892877\pi\) | ||
0.943904 | − | 0.330221i | \(-0.107123\pi\) | |||||||
\(692\) | −24.7200 | − | 11.4010i | −0.939713 | − | 0.433403i | ||||
\(693\) | −3.76462 | − | 6.80996i | −0.143006 | − | 0.258689i | ||||
\(694\) | 14.7403 | + | 3.23541i | 0.559534 | + | 0.122814i | ||||
\(695\) | 4.20658i | 0.159565i | ||||||||
\(696\) | 10.3805 | + | 7.86191i | 0.393472 | + | 0.298005i | ||||
\(697\) | −3.50663 | −0.132823 | ||||||||
\(698\) | 20.0375 | + | 4.39811i | 0.758431 | + | 0.166471i | ||||
\(699\) | 13.6153i | 0.514976i | ||||||||
\(700\) | −0.385215 | − | 5.27746i | −0.0145598 | − | 0.199469i | ||||
\(701\) | 31.9368i | 1.20624i | 0.797651 | + | 0.603119i | \(0.206076\pi\) | ||||
−0.797651 | + | 0.603119i | \(0.793924\pi\) | |||||||
\(702\) | 2.68369 | − | 12.2267i | 0.101289 | − | 0.461467i | ||||
\(703\) | −52.6051 | −1.98404 | ||||||||
\(704\) | 5.30668 | + | 18.8520i | 0.200003 | + | 0.710513i | ||||
\(705\) | − | 12.6195i | − | 0.475277i | ||||||
\(706\) | −10.0670 | + | 45.8644i | −0.378875 | + | 1.72613i | ||||
\(707\) | −7.07091 | − | 12.7908i | −0.265929 | − | 0.481049i | ||||
\(708\) | 15.0049 | + | 6.92037i | 0.563918 | + | 0.260083i | ||||
\(709\) | 1.65295i | 0.0620777i | 0.999518 | + | 0.0310389i | \(0.00988157\pi\) | ||||
−0.999518 | + | 0.0310389i | \(0.990118\pi\) | |||||||
\(710\) | 2.38669 | − | 10.8736i | 0.0895711 | − | 0.408080i | ||||
\(711\) | − | 9.25720i | − | 0.347172i | ||||||
\(712\) | 8.74820 | − | 11.5507i | 0.327853 | − | 0.432882i | ||||
\(713\) | − | 25.5150i | − | 0.955544i | ||||||
\(714\) | 1.60118 | + | 5.38665i | 0.0599225 | + | 0.201590i | ||||
\(715\) | −3.84571 | −0.143821 | ||||||||
\(716\) | −31.4865 | − | 14.5218i | −1.17671 | − | 0.542706i | ||||
\(717\) | −7.47696 | −0.279232 | ||||||||
\(718\) | −4.03908 | + | 18.4018i | −0.150737 | + | 0.686749i | ||||
\(719\) | −16.0007 | −0.596725 | −0.298363 | − | 0.954453i | \(-0.596440\pi\) | ||||
−0.298363 | + | 0.954453i | \(0.596440\pi\) | |||||||
\(720\) | 3.11968 | + | 3.65513i | 0.116263 | + | 0.136219i | ||||
\(721\) | −15.0628 | − | 27.2477i | −0.560968 | − | 1.01476i | ||||
\(722\) | 72.3322 | + | 15.8765i | 2.69193 | + | 0.590861i | ||||
\(723\) | −28.1387 | −1.04649 | ||||||||
\(724\) | 21.4791 | + | 9.90634i | 0.798266 | + | 0.368166i | ||||
\(725\) | − | 3.43282i | − | 0.127492i | ||||||
\(726\) | 2.03591 | − | 9.27548i | 0.0755598 | − | 0.344245i | ||||
\(727\) | −7.28793 | −0.270294 | −0.135147 | − | 0.990826i | \(-0.543151\pi\) | ||||
−0.135147 | + | 0.990826i | \(0.543151\pi\) | |||||||
\(728\) | 1.67770 | − | 11.6352i | 0.0621797 | − | 0.431231i | ||||
\(729\) | −27.4187 | −1.01551 | ||||||||
\(730\) | 3.82465 | − | 17.4249i | 0.141557 | − | 0.644923i | ||||
\(731\) | 8.34856i | 0.308783i | ||||||||
\(732\) | 10.6071 | − | 22.9986i | 0.392051 | − | 0.850052i | ||||
\(733\) | −4.79246 | −0.177013 | −0.0885067 | − | 0.996076i | \(-0.528209\pi\) | ||||
−0.0885067 | + | 0.996076i | \(0.528209\pi\) | |||||||
\(734\) | 35.8333 | + | 7.86519i | 1.32263 | + | 0.290310i | ||||
\(735\) | 7.94998 | + | 4.99310i | 0.293240 | + | 0.184173i | ||||
\(736\) | 13.1217 | − | 7.00667i | 0.483671 | − | 0.258269i | ||||
\(737\) | −5.27467 | −0.194295 | ||||||||
\(738\) | 1.14055 | − | 5.19629i | 0.0419844 | − | 0.191278i | ||||
\(739\) | 37.3432 | 1.37369 | 0.686845 | − | 0.726804i | \(-0.258995\pi\) | ||||
0.686845 | + | 0.726804i | \(0.258995\pi\) | |||||||
\(740\) | 5.21597 | − | 11.3094i | 0.191743 | − | 0.415741i | ||||
\(741\) | 17.7976 | 0.653811 | ||||||||
\(742\) | −41.6282 | + | 12.3739i | −1.52822 | + | 0.454261i | ||||
\(743\) | 14.9317i | 0.547789i | 0.961760 | + | 0.273895i | \(0.0883119\pi\) | ||||
−0.961760 | + | 0.273895i | \(0.911688\pi\) | |||||||
\(744\) | 22.2221 | − | 29.3410i | 0.814702 | − | 1.07570i | ||||
\(745\) | − | 19.1438i | − | 0.701373i | ||||||
\(746\) | 9.27539 | − | 42.2581i | 0.339596 | − | 1.54718i | ||||
\(747\) | 0.976988i | 0.0357461i | ||||||||
\(748\) | −2.29637 | + | 4.97905i | −0.0839638 | + | 0.182052i | ||||
\(749\) | 1.77914 | + | 3.21836i | 0.0650085 | + | 0.117596i | ||||
\(750\) | −0.406623 | + | 1.85255i | −0.0148478 | + | 0.0676455i | ||||
\(751\) | − | 32.2962i | − | 1.17851i | −0.807948 | − | 0.589253i | \(-0.799422\pi\) | ||
0.807948 | − | 0.589253i | \(-0.200578\pi\) | |||||||
\(752\) | 24.4346 | + | 28.6285i | 0.891037 | + | 1.04397i | ||||
\(753\) | 30.6773 | 1.11794 | ||||||||
\(754\) | 1.63501 | − | 7.44900i | 0.0595436 | − | 0.271277i | ||||
\(755\) | 2.73232i | 0.0994394i | ||||||||
\(756\) | −29.7363 | + | 2.17053i | −1.08150 | + | 0.0789413i | ||||
\(757\) | − | 21.1662i | − | 0.769299i | −0.923063 | − | 0.384650i | \(-0.874322\pi\) | ||
0.923063 | − | 0.384650i | \(-0.125678\pi\) | |||||||
\(758\) | 14.7705 | + | 3.24205i | 0.536490 | + | 0.117756i | ||||
\(759\) | 8.63349 | 0.313376 | ||||||||
\(760\) | −14.4260 | + | 19.0474i | −0.523286 | + | 0.690922i | ||||
\(761\) | − | 8.98517i | − | 0.325712i | −0.986650 | − | 0.162856i | \(-0.947929\pi\) | ||
0.986650 | − | 0.162856i | \(-0.0520706\pi\) | |||||||
\(762\) | −30.4163 | − | 6.67620i | −1.10187 | − | 0.241853i | ||||
\(763\) | −2.48972 | + | 1.37635i | −0.0901341 | + | 0.0498271i | ||||
\(764\) | −17.2402 | + | 37.3806i | −0.623729 | + | 1.35238i | ||||
\(765\) | 1.34537i | 0.0486420i | ||||||||
\(766\) | −12.9402 | − | 2.84030i | −0.467548 | − | 0.102624i | ||||
\(767\) | − | 9.67741i | − | 0.349431i | ||||||
\(768\) | 21.1917 | + | 3.37088i | 0.764690 | + | 0.121636i | ||||
\(769\) | − | 38.3718i | − | 1.38372i | −0.722031 | − | 0.691861i | \(-0.756791\pi\) | ||
0.722031 | − | 0.691861i | \(-0.243209\pi\) | |||||||
\(770\) | 2.60991 | + | 8.78021i | 0.0940545 | + | 0.316417i | ||||
\(771\) | −38.7275 | −1.39474 | ||||||||
\(772\) | 18.2868 | + | 8.43399i | 0.658155 | + | 0.303546i | ||||
\(773\) | 5.61383 | 0.201916 | 0.100958 | − | 0.994891i | \(-0.467809\pi\) | ||||
0.100958 | + | 0.994891i | \(0.467809\pi\) | |||||||
\(774\) | −12.3713 | − | 2.71542i | −0.444677 | − | 0.0976038i | ||||
\(775\) | −9.70304 | −0.348543 | ||||||||
\(776\) | −1.42413 | + | 1.88035i | −0.0511231 | + | 0.0675006i | ||||
\(777\) | 10.6900 | + | 19.3376i | 0.383503 | + | 0.693734i | ||||
\(778\) | −0.698477 | + | 3.18222i | −0.0250416 | + | 0.114088i | ||||
\(779\) | 26.4522 | 0.947749 | ||||||||
\(780\) | −1.76469 | + | 3.82624i | −0.0631861 | + | 0.137001i | ||||
\(781\) | 19.2710i | 0.689569i | ||||||||
\(782\) | 4.06775 | + | 0.892846i | 0.145462 | + | 0.0319281i | ||||
\(783\) | −19.3425 | −0.691245 | ||||||||
\(784\) | −27.7032 | + | 4.06592i | −0.989401 | + | 0.145211i | ||||
\(785\) | 13.5441 | 0.483409 | ||||||||
\(786\) | −3.71154 | − | 0.814660i | −0.132386 | − | 0.0290580i | ||||
\(787\) | − | 13.1424i | − | 0.468474i | −0.972180 | − | 0.234237i | \(-0.924741\pi\) | ||
0.972180 | − | 0.234237i | \(-0.0752592\pi\) | |||||||
\(788\) | −3.84919 | + | 8.34588i | −0.137122 | + | 0.297310i | ||||
\(789\) | −26.2885 | −0.935895 | ||||||||
\(790\) | −2.33628 | + | 10.6440i | −0.0831213 | + | 0.378695i | ||||
\(791\) | −14.3321 | − | 25.9258i | −0.509590 | − | 0.921817i | ||||
\(792\) | −6.63127 | − | 5.02234i | −0.235632 | − | 0.178461i | ||||
\(793\) | −14.8330 | −0.526734 | ||||||||
\(794\) | −2.45488 | − | 0.538831i | −0.0871203 | − | 0.0191224i | ||||
\(795\) | 15.5661 | 0.552074 | ||||||||
\(796\) | −3.91284 | − | 1.80463i | −0.138687 | − | 0.0639635i | ||||
\(797\) | 26.8837 | 0.952269 | 0.476134 | − | 0.879373i | \(-0.342038\pi\) | ||||
0.476134 | + | 0.879373i | \(0.342038\pi\) | |||||||
\(798\) | −12.0784 | − | 40.6341i | −0.427572 | − | 1.43843i | ||||
\(799\) | 10.5375i | 0.372790i | ||||||||
\(800\) | −2.66455 | − | 4.99001i | −0.0942061 | − | 0.176423i | ||||
\(801\) | 6.15442i | 0.217456i | ||||||||
\(802\) | −24.6096 | − | 5.40166i | −0.868996 | − | 0.190739i | ||||
\(803\) | 30.8815i | 1.08978i | ||||||||
\(804\) | −2.42041 | + | 5.24797i | −0.0853612 | + | 0.185082i | ||||
\(805\) | 6.08880 | − | 3.36595i | 0.214602 | − | 0.118634i | ||||
\(806\) | −21.0550 | − | 4.62144i | −0.741630 | − | 0.162783i | ||||
\(807\) | − | 36.5366i | − | 1.28615i | ||||||
\(808\) | −12.4552 | − | 9.43323i | −0.438173 | − | 0.331860i | ||||
\(809\) | 9.28389 | 0.326404 | 0.163202 | − | 0.986593i | \(-0.447818\pi\) | ||||
0.163202 | + | 0.986593i | \(0.447818\pi\) | |||||||
\(810\) | 5.45990 | + | 1.19842i | 0.191841 | + | 0.0421080i | ||||
\(811\) | − | 47.2011i | − | 1.65745i | −0.559653 | − | 0.828727i | \(-0.689065\pi\) | ||
0.559653 | − | 0.828727i | \(-0.310935\pi\) | |||||||
\(812\) | −18.1166 | + | 1.32237i | −0.635767 | + | 0.0464062i | ||||
\(813\) | − | 34.9149i | − | 1.22452i | ||||||
\(814\) | −4.62204 | + | 21.0577i | −0.162003 | + | 0.738073i | ||||
\(815\) | −18.5317 | −0.649136 | ||||||||
\(816\) | 3.90010 | + | 4.56950i | 0.136531 | + | 0.159965i | ||||
\(817\) | − | 62.9772i | − | 2.20329i | ||||||
\(818\) | 11.4817 | − | 52.3097i | 0.401447 | − | 1.82896i | ||||
\(819\) | 2.41571 | + | 4.36986i | 0.0844116 | + | 0.152695i | ||||
\(820\) | −2.62283 | + | 5.68687i | −0.0915931 | + | 0.198594i | ||||
\(821\) | 28.6713i | 1.00063i | 0.865842 | + | 0.500317i | \(0.166783\pi\) | ||||
−0.865842 | + | 0.500317i | \(0.833217\pi\) | |||||||
\(822\) | −1.71164 | + | 7.79813i | −0.0597004 | + | 0.271991i | ||||
\(823\) | 15.8578i | 0.552769i | 0.961047 | + | 0.276385i | \(0.0891364\pi\) | ||||
−0.961047 | + | 0.276385i | \(0.910864\pi\) | |||||||
\(824\) | −26.5327 | − | 20.0951i | −0.924310 | − | 0.700047i | ||||
\(825\) | − | 3.28321i | − | 0.114307i | ||||||
\(826\) | −22.0947 | + | 6.56762i | −0.768773 | + | 0.228517i | ||||
\(827\) | 9.33173 | 0.324496 | 0.162248 | − | 0.986750i | \(-0.448126\pi\) | ||||
0.162248 | + | 0.986750i | \(0.448126\pi\) | |||||||
\(828\) | −2.64612 | + | 5.73737i | −0.0919590 | + | 0.199387i | ||||
\(829\) | −50.2966 | −1.74687 | −0.873436 | − | 0.486939i | \(-0.838113\pi\) | ||||
−0.873436 | + | 0.486939i | \(0.838113\pi\) | |||||||
\(830\) | 0.246567 | − | 1.12334i | 0.00855847 | − | 0.0389918i | ||||
\(831\) | −7.57511 | −0.262778 | ||||||||
\(832\) | −3.40523 | − | 12.0971i | −0.118055 | − | 0.419391i | ||||
\(833\) | −6.63839 | − | 4.16933i | −0.230007 | − | 0.144459i | ||||
\(834\) | −7.79290 | − | 1.71049i | −0.269846 | − | 0.0592295i | ||||
\(835\) | −7.74592 | −0.268059 | ||||||||
\(836\) | 17.3226 | − | 37.5593i | 0.599116 | − | 1.29902i | ||||
\(837\) | 54.6726i | 1.88976i | ||||||||
\(838\) | 0.943164 | − | 4.29699i | 0.0325811 | − | 0.148437i | ||||
\(839\) | 39.0155 | 1.34697 | 0.673483 | − | 0.739203i | \(-0.264797\pi\) | ||||
0.673483 | + | 0.739203i | \(0.264797\pi\) | |||||||
\(840\) | 9.93339 | + | 1.43231i | 0.342734 | + | 0.0494193i | ||||
\(841\) | 17.2158 | 0.593647 | ||||||||
\(842\) | −5.72889 | + | 26.1004i | −0.197431 | + | 0.899481i | ||||
\(843\) | − | 34.7862i | − | 1.19810i | ||||||
\(844\) | −21.3295 | − | 9.83733i | −0.734192 | − | 0.338615i | ||||
\(845\) | −10.5323 | −0.362321 | ||||||||
\(846\) | −15.6150 | − | 3.42739i | −0.536854 | − | 0.117836i | ||||
\(847\) | 6.40896 | + | 11.5934i | 0.220214 | + | 0.398354i | ||||
\(848\) | −35.3133 | + | 30.1401i | −1.21266 | + | 1.03501i | ||||
\(849\) | 16.9065 | 0.580231 | ||||||||
\(850\) | 0.339538 | − | 1.54691i | 0.0116461 | − | 0.0530587i | ||||
\(851\) | 16.3748 | 0.561320 | ||||||||
\(852\) | 19.1734 | + | 8.84293i | 0.656871 | + | 0.302954i | ||||
\(853\) | −11.1812 | −0.382836 | −0.191418 | − | 0.981509i | \(-0.561309\pi\) | ||||
−0.191418 | + | 0.981509i | \(0.561309\pi\) | |||||||
\(854\) | 10.0665 | + | 33.8654i | 0.344467 | + | 1.15885i | ||||
\(855\) | − | 10.1488i | − | 0.347081i | ||||||
\(856\) | 3.13391 | + | 2.37354i | 0.107115 | + | 0.0811258i | ||||
\(857\) | − | 36.5484i | − | 1.24847i | −0.781236 | − | 0.624235i | \(-0.785411\pi\) | ||
0.781236 | − | 0.624235i | \(-0.214589\pi\) | |||||||
\(858\) | 1.56375 | − | 7.12436i | 0.0533856 | − | 0.243221i | ||||
\(859\) | − | 6.59801i | − | 0.225121i | −0.993645 | − | 0.112561i | \(-0.964095\pi\) | ||
0.993645 | − | 0.112561i | \(-0.0359052\pi\) | |||||||
\(860\) | 13.5392 | + | 6.24440i | 0.461684 | + | 0.212932i | ||||
\(861\) | −5.37544 | − | 9.72384i | −0.183195 | − | 0.331388i | ||||
\(862\) | 11.6041 | − | 52.8677i | 0.395238 | − | 1.80068i | ||||
\(863\) | 6.48314i | 0.220689i | 0.993893 | + | 0.110344i | \(0.0351954\pi\) | ||||
−0.993893 | + | 0.110344i | \(0.964805\pi\) | |||||||
\(864\) | −28.1166 | + | 15.0136i | −0.956547 | + | 0.510774i | ||||
\(865\) | −13.6112 | −0.462795 | ||||||||
\(866\) | −0.456576 | + | 2.08013i | −0.0155151 | + | 0.0706857i | ||||
\(867\) | − | 21.1173i | − | 0.717182i | ||||||
\(868\) | 3.73776 | + | 51.2074i | 0.126868 | + | 1.73809i | ||||
\(869\) | − | 18.8639i | − | 0.639915i | ||||||
\(870\) | 6.35946 | + | 1.39586i | 0.215606 | + | 0.0473242i | ||||
\(871\) | 3.38469 | 0.114686 | ||||||||
\(872\) | −1.83617 | + | 2.42439i | −0.0621805 | + | 0.0821004i | ||||
\(873\) | − | 1.00188i | − | 0.0339086i | ||||||
\(874\) | −30.6850 | − | 6.73516i | −1.03793 | − | 0.227820i | ||||
\(875\) | −1.28003 | − | 2.31550i | −0.0432729 | − | 0.0782781i | ||||
\(876\) | 30.7252 | + | 14.1707i | 1.03811 | + | 0.478783i | ||||
\(877\) | − | 23.0472i | − | 0.778248i | −0.921185 | − | 0.389124i | \(-0.872778\pi\) | ||
0.921185 | − | 0.389124i | \(-0.127222\pi\) | |||||||
\(878\) | 6.91741 | + | 1.51833i | 0.233451 | + | 0.0512412i | ||||
\(879\) | 22.5286i | 0.759872i | ||||||||
\(880\) | 6.35714 | + | 7.44827i | 0.214299 | + | 0.251081i | ||||
\(881\) | − | 35.8703i | − | 1.20850i | −0.796794 | − | 0.604251i | \(-0.793472\pi\) | ||
0.796794 | − | 0.604251i | \(-0.206528\pi\) | |||||||
\(882\) | 8.33749 | − | 8.48097i | 0.280738 | − | 0.285569i | ||||
\(883\) | 50.9029 | 1.71302 | 0.856509 | − | 0.516131i | \(-0.172628\pi\) | ||||
0.856509 | + | 0.516131i | \(0.172628\pi\) | |||||||
\(884\) | 1.47355 | − | 3.19499i | 0.0495610 | − | 0.107459i | ||||
\(885\) | 8.26193 | 0.277722 | ||||||||
\(886\) | 34.4937 | + | 7.57116i | 1.15884 | + | 0.254358i | ||||
\(887\) | −26.6009 | −0.893172 | −0.446586 | − | 0.894741i | \(-0.647360\pi\) | ||||
−0.446586 | + | 0.894741i | \(0.647360\pi\) | |||||||
\(888\) | 18.8302 | + | 14.2615i | 0.631901 | + | 0.478584i | ||||
\(889\) | 38.0173 | − | 21.0164i | 1.27506 | − | 0.704866i | ||||
\(890\) | 1.55322 | − | 7.07638i | 0.0520641 | − | 0.237201i | ||||
\(891\) | −9.67640 | −0.324172 | ||||||||
\(892\) | −12.5700 | − | 5.79740i | −0.420876 | − | 0.194111i | ||||
\(893\) | − | 79.4895i | − | 2.66001i | ||||||
\(894\) | 35.4647 | + | 7.78430i | 1.18612 | + | 0.260346i | ||||
\(895\) | −17.3370 | −0.579511 | ||||||||
\(896\) | −25.3082 | + | 15.9843i | −0.845486 | + | 0.533998i | ||||
\(897\) | −5.54000 | −0.184975 | ||||||||
\(898\) | 6.70942 | + | 1.47268i | 0.223896 | + | 0.0491438i | ||||
\(899\) | 33.3088i | 1.11091i | ||||||||
\(900\) | 2.18185 | + | 1.00629i | 0.0727284 | + | 0.0335429i | ||||
\(901\) | −12.9980 | −0.433027 | ||||||||
\(902\) | 2.32417 | − | 10.5888i | 0.0773865 | − | 0.352568i | ||||
\(903\) | −23.1504 | + | 12.7978i | −0.770398 | + | 0.425884i | ||||
\(904\) | −25.2456 | − | 19.1203i | −0.839655 | − | 0.635931i | ||||
\(905\) | 11.8268 | 0.393135 | ||||||||
\(906\) | −5.06176 | − | 1.11103i | −0.168166 | − | 0.0369113i | ||||
\(907\) | −27.7572 | −0.921662 | −0.460831 | − | 0.887488i | \(-0.652449\pi\) | ||||
−0.460831 | + | 0.887488i | \(0.652449\pi\) | |||||||
\(908\) | −10.2208 | + | 22.1610i | −0.339191 | + | 0.735440i | ||||
\(909\) | 6.63634 | 0.220114 | ||||||||
\(910\) | −1.67474 | − | 5.63414i | −0.0555172 | − | 0.186770i | ||||
\(911\) | 2.35676i | 0.0780829i | 0.999238 | + | 0.0390414i | \(0.0124304\pi\) | ||||
−0.999238 | + | 0.0390414i | \(0.987570\pi\) | |||||||
\(912\) | −29.4203 | − | 34.4699i | −0.974204 | − | 1.14141i | ||||
\(913\) | 1.99087i | 0.0658880i | ||||||||
\(914\) | 29.1463 | + | 6.39744i | 0.964075 | + | 0.211609i | ||||
\(915\) | − | 12.6634i | − | 0.418639i | ||||||
\(916\) | 22.2626 | + | 10.2677i | 0.735577 | + | 0.339254i | ||||
\(917\) | 4.63904 | − | 2.56451i | 0.153195 | − | 0.0846876i | ||||
\(918\) | −8.71622 | − | 1.91316i | −0.287678 | − | 0.0631436i | ||||
\(919\) | − | 5.11186i | − | 0.168625i | −0.996439 | − | 0.0843124i | \(-0.973131\pi\) | ||
0.996439 | − | 0.0843124i | \(-0.0268694\pi\) | |||||||
\(920\) | 4.49049 | − | 5.92903i | 0.148047 | − | 0.195474i | ||||
\(921\) | −6.82113 | −0.224764 | ||||||||
\(922\) | 15.5297 | + | 3.40868i | 0.511445 | + | 0.112259i | ||||
\(923\) | − | 12.3659i | − | 0.407029i | ||||||
\(924\) | −17.3270 | + | 1.26474i | −0.570017 | + | 0.0416069i | ||||
\(925\) | − | 6.22712i | − | 0.204747i | ||||||
\(926\) | −11.9519 | + | 54.4520i | −0.392763 | + | 1.78940i | ||||
\(927\) | 14.1371 | 0.464322 | ||||||||
\(928\) | −17.1298 | + | 9.14691i | −0.562313 | + | 0.300262i | ||||
\(929\) | 49.8134i | 1.63432i | 0.576408 | + | 0.817162i | \(0.304454\pi\) | ||||
−0.576408 | + | 0.817162i | \(0.695546\pi\) | |||||||
\(930\) | 3.94548 | − | 17.9753i | 0.129377 | − | 0.589435i | ||||
\(931\) | 50.0766 | + | 31.4513i | 1.64119 | + | 1.03077i | ||||
\(932\) | −18.4376 | − | 8.50358i | −0.603945 | − | 0.278544i | ||||
\(933\) | 22.7049i | 0.743326i | ||||||||
\(934\) | 8.03283 | − | 36.5971i | 0.262842 | − | 1.19749i | ||||
\(935\) | 2.74154i | 0.0896580i | ||||||||
\(936\) | 4.25520 | + | 3.22277i | 0.139085 | + | 0.105339i | ||||
\(937\) | − | 15.7887i | − | 0.515794i | −0.966172 | − | 0.257897i | \(-0.916970\pi\) | ||
0.966172 | − | 0.257897i | \(-0.0830296\pi\) | |||||||
\(938\) | −2.29703 | − | 7.72764i | −0.0750008 | − | 0.252317i | ||||
\(939\) | 11.1420 | 0.363606 | ||||||||
\(940\) | 17.0892 | + | 7.88165i | 0.557387 | + | 0.257071i | ||||
\(941\) | 2.58455 | 0.0842538 | 0.0421269 | − | 0.999112i | \(-0.486587\pi\) | ||||
0.0421269 | + | 0.999112i | \(0.486587\pi\) | |||||||
\(942\) | −5.50734 | + | 25.0911i | −0.179439 | + | 0.817511i | ||||
\(943\) | −8.23398 | −0.268135 | ||||||||
\(944\) | −18.7430 | + | 15.9972i | −0.610032 | + | 0.520666i | ||||
\(945\) | −13.0469 | + | 7.21244i | −0.424414 | + | 0.234621i | ||||
\(946\) | −25.2097 | − | 5.53337i | −0.819637 | − | 0.179905i | ||||
\(947\) | 17.5390 | 0.569940 | 0.284970 | − | 0.958536i | \(-0.408016\pi\) | ||||
0.284970 | + | 0.958536i | \(0.408016\pi\) | |||||||
\(948\) | −18.7685 | − | 8.65616i | −0.609571 | − | 0.281139i | ||||
\(949\) | − | 19.8162i | − | 0.643262i | ||||||
\(950\) | −2.56130 | + | 11.6691i | −0.0830995 | + | 0.378596i | ||||
\(951\) | 14.4075 | 0.467196 | ||||||||
\(952\) | −8.29457 | − | 1.19601i | −0.268829 | − | 0.0387628i | ||||
\(953\) | −25.0362 | −0.811001 | −0.405501 | − | 0.914095i | \(-0.632903\pi\) | ||||
−0.405501 | + | 0.914095i | \(0.632903\pi\) | |||||||
\(954\) | 4.22769 | − | 19.2611i | 0.136877 | − | 0.623601i | ||||
\(955\) | 20.5823i | 0.666029i | ||||||||
\(956\) | 4.66983 | − | 10.1252i | 0.151033 | − | 0.327473i | ||||
\(957\) | −11.2707 | −0.364329 | ||||||||
\(958\) | 49.4277 | + | 10.8491i | 1.59694 | + | 0.350518i | ||||
\(959\) | −5.38817 | − | 9.74687i | −0.173993 | − | 0.314743i | ||||
\(960\) | 10.3277 | − | 2.90715i | 0.333325 | − | 0.0938280i | ||||
\(961\) | 63.1490 | 2.03706 | ||||||||
\(962\) | 2.96590 | − | 13.5125i | 0.0956246 | − | 0.435659i | ||||
\(963\) | −1.66980 | −0.0538086 | ||||||||
\(964\) | 17.5744 | − | 38.1051i | 0.566033 | − | 1.22728i | ||||
\(965\) | 10.0690 | 0.324132 | ||||||||
\(966\) | 3.75974 | + | 12.6485i | 0.120968 | + | 0.406958i | ||||
\(967\) | − | 18.7066i | − | 0.601564i | −0.953693 | − | 0.300782i | \(-0.902752\pi\) | ||
0.953693 | − | 0.300782i | \(-0.0972477\pi\) | |||||||
\(968\) | 11.2892 | + | 8.55013i | 0.362849 | + | 0.274811i | ||||
\(969\) | − | 12.6876i | − | 0.407585i | ||||||
\(970\) | −0.252850 | + | 1.15197i | −0.00811852 | + | 0.0369875i | ||||
\(971\) | 32.0975i | 1.03006i | 0.857173 | + | 0.515029i | \(0.172219\pi\) | ||||
−0.857173 | + | 0.515029i | \(0.827781\pi\) | |||||||
\(972\) | 9.71870 | − | 21.0723i | 0.311727 | − | 0.675894i | ||||
\(973\) | 9.74033 | − | 5.38455i | 0.312261 | − | 0.172621i | ||||
\(974\) | 3.77450 | − | 17.1964i | 0.120943 | − | 0.551008i | ||||
\(975\) | 2.10679i | 0.0674713i | ||||||||
\(976\) | 24.5196 | + | 28.7281i | 0.784853 | + | 0.919564i | ||||
\(977\) | 5.17448 | 0.165546 | 0.0827731 | − | 0.996568i | \(-0.473622\pi\) | ||||
0.0827731 | + | 0.996568i | \(0.473622\pi\) | |||||||
\(978\) | 7.53540 | − | 34.3308i | 0.240955 | − | 1.09778i | ||||
\(979\) | 12.5412i | 0.400819i | ||||||||
\(980\) | −11.7269 | + | 7.64728i | −0.374601 | + | 0.244283i | ||||
\(981\) | − | 1.29176i | − | 0.0412427i | ||||||
\(982\) | 19.9458 | + | 4.37799i | 0.636497 | + | 0.139707i | ||||
\(983\) | 25.3909 | 0.809843 | 0.404921 | − | 0.914352i | \(-0.367299\pi\) | ||||
0.404921 | + | 0.914352i | \(0.367299\pi\) | |||||||
\(984\) | −9.46869 | − | 7.17132i | −0.301851 | − | 0.228613i | ||||
\(985\) | 4.59538i | 0.146421i | ||||||||
\(986\) | −5.31027 | − | 1.16557i | −0.169114 | − | 0.0371194i | ||||
\(987\) | −29.2203 | + | 16.1533i | −0.930094 | + | 0.514166i | ||||
\(988\) | −11.1157 | + | 24.1013i | −0.353638 | + | 0.766765i | ||||
\(989\) | 19.6034i | 0.623351i | ||||||||
\(990\) | −4.06254 | − | 0.891704i | −0.129116 | − | 0.0283402i | ||||
\(991\) | − | 37.1976i | − | 1.18162i | −0.806810 | − | 0.590810i | \(-0.798808\pi\) | ||
0.806810 | − | 0.590810i | \(-0.201192\pi\) | |||||||
\(992\) | 25.8542 | + | 48.4182i | 0.820873 | + | 1.53728i | ||||
\(993\) | − | 16.3269i | − | 0.518117i | ||||||
\(994\) | −28.2329 | + | 8.39219i | −0.895492 | + | 0.266184i | ||||
\(995\) | −2.15447 | −0.0683014 | ||||||||
\(996\) | 1.98079 | + | 0.913555i | 0.0627637 | + | 0.0289471i | ||||
\(997\) | −45.0979 | −1.42827 | −0.714133 | − | 0.700011i | \(-0.753179\pi\) | ||||
−0.714133 | + | 0.700011i | \(0.753179\pi\) | |||||||
\(998\) | −30.5232 | − | 6.69965i | −0.966194 | − | 0.212074i | ||||
\(999\) | −35.0873 | −1.11011 |
(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 | 280.2.h.b.251.1 | yes | 16 | |
4.3 | odd | 2 | 1120.2.h.b.111.11 | 16 | |||
7.6 | odd | 2 | 280.2.h.a.251.1 | ✓ | 16 | ||
8.3 | odd | 2 | 280.2.h.a.251.2 | yes | 16 | ||
8.5 | even | 2 | 1120.2.h.a.111.11 | 16 | |||
28.27 | even | 2 | 1120.2.h.a.111.6 | 16 | |||
56.13 | odd | 2 | 1120.2.h.b.111.6 | 16 | |||
56.27 | even | 2 | inner | 280.2.h.b.251.2 | yes | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.h.a.251.1 | ✓ | 16 | 7.6 | odd | 2 | ||
280.2.h.a.251.2 | yes | 16 | 8.3 | odd | 2 | ||
280.2.h.b.251.1 | yes | 16 | 1.1 | even | 1 | trivial | |
280.2.h.b.251.2 | yes | 16 | 56.27 | even | 2 | inner | |
1120.2.h.a.111.6 | 16 | 28.27 | even | 2 | |||
1120.2.h.a.111.11 | 16 | 8.5 | even | 2 | |||
1120.2.h.b.111.6 | 16 | 56.13 | odd | 2 | |||
1120.2.h.b.111.11 | 16 | 4.3 | odd | 2 |