Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(94,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.94");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.f (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(34\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 94.12 | ||
Character | \(\chi\) | \(=\) | 403.94 |
Dual form | 403.2.f.b.373.12 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.600575 | + | 1.04023i | 0.424670 | + | 0.735551i | 0.996390 | − | 0.0848986i | \(-0.0270566\pi\) |
−0.571719 | + | 0.820449i | \(0.693723\pi\) | |||||||
\(3\) | 0.0302705 | + | 0.0524300i | 0.0174767 | + | 0.0302705i | 0.874631 | − | 0.484788i | \(-0.161103\pi\) |
−0.857155 | + | 0.515059i | \(0.827770\pi\) | |||||||
\(4\) | 0.278620 | − | 0.482584i | 0.139310 | − | 0.241292i | ||||
\(5\) | 2.34059 | 1.04674 | 0.523371 | − | 0.852105i | \(-0.324674\pi\) | ||||
0.523371 | + | 0.852105i | \(0.324674\pi\) | |||||||
\(6\) | −0.0363594 | + | 0.0629763i | −0.0148437 | + | 0.0257100i | ||||
\(7\) | −0.828861 | + | 1.43563i | −0.313280 | + | 0.542617i | −0.979070 | − | 0.203522i | \(-0.934761\pi\) |
0.665790 | + | 0.746139i | \(0.268094\pi\) | |||||||
\(8\) | 3.07163 | 1.08598 | ||||||||
\(9\) | 1.49817 | − | 2.59490i | 0.499389 | − | 0.864967i | ||||
\(10\) | 1.40570 | + | 2.43474i | 0.444520 | + | 0.769932i | ||||
\(11\) | −0.701103 | − | 1.21435i | −0.211390 | − | 0.366139i | 0.740760 | − | 0.671770i | \(-0.234466\pi\) |
−0.952150 | + | 0.305631i | \(0.901132\pi\) | |||||||
\(12\) | 0.0337359 | 0.00973871 | ||||||||
\(13\) | −2.53337 | − | 2.56555i | −0.702630 | − | 0.711555i | ||||
\(14\) | −1.99117 | −0.532163 | ||||||||
\(15\) | 0.0708507 | + | 0.122717i | 0.0182936 | + | 0.0316854i | ||||
\(16\) | 1.28750 | + | 2.23002i | 0.321875 | + | 0.557505i | ||||
\(17\) | −0.0737699 | + | 0.127773i | −0.0178918 | + | 0.0309895i | −0.874833 | − | 0.484425i | \(-0.839029\pi\) |
0.856941 | + | 0.515415i | \(0.172362\pi\) | |||||||
\(18\) | 3.59905 | 0.848303 | ||||||||
\(19\) | −1.76285 | + | 3.05335i | −0.404426 | + | 0.700486i | −0.994254 | − | 0.107043i | \(-0.965862\pi\) |
0.589829 | + | 0.807528i | \(0.299195\pi\) | |||||||
\(20\) | 0.652134 | − | 1.12953i | 0.145822 | − | 0.252571i | ||||
\(21\) | −0.100360 | −0.0219004 | ||||||||
\(22\) | 0.842129 | − | 1.45861i | 0.179542 | − | 0.310977i | ||||
\(23\) | 1.99132 | + | 3.44907i | 0.415219 | + | 0.719180i | 0.995451 | − | 0.0952705i | \(-0.0303716\pi\) |
−0.580232 | + | 0.814451i | \(0.697038\pi\) | |||||||
\(24\) | 0.0929797 | + | 0.161046i | 0.0189794 | + | 0.0328733i | ||||
\(25\) | 0.478344 | 0.0956688 | ||||||||
\(26\) | 1.14727 | − | 4.17608i | 0.224999 | − | 0.818997i | ||||
\(27\) | 0.363024 | 0.0698640 | ||||||||
\(28\) | 0.461874 | + | 0.799990i | 0.0872861 | + | 0.151184i | ||||
\(29\) | 5.06479 | + | 8.77247i | 0.940508 | + | 1.62901i | 0.764505 | + | 0.644618i | \(0.222984\pi\) |
0.176003 | + | 0.984390i | \(0.443683\pi\) | |||||||
\(30\) | −0.0851023 | + | 0.147401i | −0.0155375 | + | 0.0269117i | ||||
\(31\) | −1.00000 | −0.179605 | ||||||||
\(32\) | 1.52515 | − | 2.64163i | 0.269610 | − | 0.466979i | ||||
\(33\) | 0.0424454 | − | 0.0735177i | 0.00738880 | − | 0.0127978i | ||||
\(34\) | −0.177217 | −0.0303925 | ||||||||
\(35\) | −1.94002 | + | 3.36021i | −0.327923 | + | 0.567980i | ||||
\(36\) | −0.834839 | − | 1.44598i | −0.139140 | − | 0.240997i | ||||
\(37\) | −2.95348 | − | 5.11558i | −0.485549 | − | 0.840996i | 0.514313 | − | 0.857603i | \(-0.328047\pi\) |
−0.999862 | + | 0.0166065i | \(0.994714\pi\) | |||||||
\(38\) | −4.23489 | −0.686990 | ||||||||
\(39\) | 0.0578255 | − | 0.210485i | 0.00925950 | − | 0.0337046i | ||||
\(40\) | 7.18941 | 1.13675 | ||||||||
\(41\) | −1.20617 | − | 2.08915i | −0.188372 | − | 0.326270i | 0.756336 | − | 0.654184i | \(-0.226988\pi\) |
−0.944708 | + | 0.327914i | \(0.893654\pi\) | |||||||
\(42\) | −0.0602737 | − | 0.104397i | −0.00930044 | − | 0.0161088i | ||||
\(43\) | −4.78486 | + | 8.28762i | −0.729684 | + | 1.26385i | 0.227332 | + | 0.973817i | \(0.427000\pi\) |
−0.957017 | + | 0.290033i | \(0.906334\pi\) | |||||||
\(44\) | −0.781365 | −0.117795 | ||||||||
\(45\) | 3.50659 | − | 6.07359i | 0.522732 | − | 0.905398i | ||||
\(46\) | −2.39187 | + | 4.14285i | −0.352662 | + | 0.610829i | ||||
\(47\) | −8.13981 | −1.18731 | −0.593657 | − | 0.804718i | \(-0.702316\pi\) | ||||
−0.593657 | + | 0.804718i | \(0.702316\pi\) | |||||||
\(48\) | −0.0779466 | + | 0.135008i | −0.0112506 | + | 0.0194867i | ||||
\(49\) | 2.12598 | + | 3.68230i | 0.303711 | + | 0.526044i | ||||
\(50\) | 0.287281 | + | 0.497586i | 0.0406277 | + | 0.0703693i | ||||
\(51\) | −0.00893220 | −0.00125076 | ||||||||
\(52\) | −1.94394 | + | 0.507750i | −0.269576 | + | 0.0704122i | ||||
\(53\) | −10.6420 | −1.46179 | −0.730895 | − | 0.682489i | \(-0.760897\pi\) | ||||
−0.730895 | + | 0.682489i | \(0.760897\pi\) | |||||||
\(54\) | 0.218023 | + | 0.377627i | 0.0296692 | + | 0.0513885i | ||||
\(55\) | −1.64099 | − | 2.84228i | −0.221271 | − | 0.383253i | ||||
\(56\) | −2.54595 | + | 4.40972i | −0.340217 | + | 0.589273i | ||||
\(57\) | −0.213449 | −0.0282721 | ||||||||
\(58\) | −6.08357 | + | 10.5371i | −0.798812 | + | 1.38358i | ||||
\(59\) | 6.13986 | − | 10.6345i | 0.799341 | − | 1.38450i | −0.120704 | − | 0.992689i | \(-0.538515\pi\) |
0.920046 | − | 0.391811i | \(-0.128151\pi\) | |||||||
\(60\) | 0.0789617 | 0.0101939 | ||||||||
\(61\) | 3.02450 | − | 5.23859i | 0.387247 | − | 0.670732i | −0.604831 | − | 0.796354i | \(-0.706759\pi\) |
0.992078 | + | 0.125622i | \(0.0400926\pi\) | |||||||
\(62\) | −0.600575 | − | 1.04023i | −0.0762731 | − | 0.132109i | ||||
\(63\) | 2.48354 | + | 4.30163i | 0.312897 | + | 0.541954i | ||||
\(64\) | 8.81386 | 1.10173 | ||||||||
\(65\) | −5.92957 | − | 6.00489i | −0.735472 | − | 0.744815i | ||||
\(66\) | 0.101967 | 0.0125512 | ||||||||
\(67\) | 3.60988 | + | 6.25250i | 0.441017 | + | 0.763865i | 0.997765 | − | 0.0668170i | \(-0.0212844\pi\) |
−0.556748 | + | 0.830682i | \(0.687951\pi\) | |||||||
\(68\) | 0.0411075 | + | 0.0712003i | 0.00498502 | + | 0.00863431i | ||||
\(69\) | −0.120557 | + | 0.208810i | −0.0145133 | + | 0.0251378i | ||||
\(70\) | −4.66051 | −0.557037 | ||||||||
\(71\) | −0.242049 | + | 0.419241i | −0.0287259 | + | 0.0497547i | −0.880031 | − | 0.474916i | \(-0.842478\pi\) |
0.851305 | + | 0.524671i | \(0.175812\pi\) | |||||||
\(72\) | 4.60181 | − | 7.97057i | 0.542329 | − | 0.939341i | ||||
\(73\) | −1.86973 | −0.218835 | −0.109417 | − | 0.993996i | \(-0.534899\pi\) | ||||
−0.109417 | + | 0.993996i | \(0.534899\pi\) | |||||||
\(74\) | 3.54757 | − | 6.14458i | 0.412397 | − | 0.714292i | ||||
\(75\) | 0.0144797 | + | 0.0250796i | 0.00167197 | + | 0.00289594i | ||||
\(76\) | 0.982331 | + | 1.70145i | 0.112681 | + | 0.195169i | ||||
\(77\) | 2.32447 | 0.264897 | ||||||||
\(78\) | 0.253681 | − | 0.0662604i | 0.0287237 | − | 0.00750251i | ||||
\(79\) | −14.5823 | −1.64064 | −0.820320 | − | 0.571904i | \(-0.806205\pi\) | ||||
−0.820320 | + | 0.571904i | \(0.806205\pi\) | |||||||
\(80\) | 3.01351 | + | 5.21955i | 0.336921 | + | 0.583563i | ||||
\(81\) | −4.48351 | − | 7.76567i | −0.498168 | − | 0.862853i | ||||
\(82\) | 1.44879 | − | 2.50938i | 0.159992 | − | 0.277114i | ||||
\(83\) | −8.47384 | −0.930125 | −0.465062 | − | 0.885278i | \(-0.653968\pi\) | ||||
−0.465062 | + | 0.885278i | \(0.653968\pi\) | |||||||
\(84\) | −0.0279623 | + | 0.0484322i | −0.00305094 | + | 0.00528439i | ||||
\(85\) | −0.172665 | + | 0.299064i | −0.0187281 | + | 0.0324381i | ||||
\(86\) | −11.4947 | −1.23950 | ||||||||
\(87\) | −0.306627 | + | 0.531094i | −0.0328739 | + | 0.0569393i | ||||
\(88\) | −2.15353 | − | 3.73002i | −0.229567 | − | 0.397621i | ||||
\(89\) | −7.46453 | − | 12.9290i | −0.791239 | − | 1.37047i | −0.925200 | − | 0.379480i | \(-0.876103\pi\) |
0.133961 | − | 0.990987i | \(-0.457230\pi\) | |||||||
\(90\) | 8.42388 | 0.887955 | ||||||||
\(91\) | 5.78299 | − | 1.51049i | 0.606222 | − | 0.158343i | ||||
\(92\) | 2.21929 | 0.231377 | ||||||||
\(93\) | −0.0302705 | − | 0.0524300i | −0.00313890 | − | 0.00543674i | ||||
\(94\) | −4.88856 | − | 8.46724i | −0.504217 | − | 0.873329i | ||||
\(95\) | −4.12610 | + | 7.14662i | −0.423329 | + | 0.733228i | ||||
\(96\) | 0.184668 | 0.0188476 | ||||||||
\(97\) | 4.49646 | − | 7.78809i | 0.456546 | − | 0.790761i | −0.542230 | − | 0.840230i | \(-0.682420\pi\) |
0.998776 | + | 0.0494695i | \(0.0157530\pi\) | |||||||
\(98\) | −2.55362 | + | 4.42300i | −0.257954 | + | 0.446790i | ||||
\(99\) | −4.20148 | −0.422264 | ||||||||
\(100\) | 0.133276 | − | 0.230841i | 0.0133276 | − | 0.0230841i | ||||
\(101\) | −0.440108 | − | 0.762289i | −0.0437924 | − | 0.0758506i | 0.843298 | − | 0.537446i | \(-0.180611\pi\) |
−0.887091 | + | 0.461595i | \(0.847277\pi\) | |||||||
\(102\) | −0.00536446 | − | 0.00929151i | −0.000531160 | − | 0.000919996i | ||||
\(103\) | 12.7618 | 1.25746 | 0.628728 | − | 0.777625i | \(-0.283576\pi\) | ||||
0.628728 | + | 0.777625i | \(0.283576\pi\) | |||||||
\(104\) | −7.78156 | − | 7.88041i | −0.763045 | − | 0.772738i | ||||
\(105\) | −0.234901 | −0.0229240 | ||||||||
\(106\) | −6.39132 | − | 11.0701i | −0.620779 | − | 1.07522i | ||||
\(107\) | 1.25780 | + | 2.17857i | 0.121596 | + | 0.210611i | 0.920397 | − | 0.390985i | \(-0.127865\pi\) |
−0.798801 | + | 0.601595i | \(0.794532\pi\) | |||||||
\(108\) | 0.101146 | − | 0.175190i | 0.00973276 | − | 0.0168576i | ||||
\(109\) | 16.1425 | 1.54617 | 0.773087 | − | 0.634300i | \(-0.218712\pi\) | ||||
0.773087 | + | 0.634300i | \(0.218712\pi\) | |||||||
\(110\) | 1.97108 | − | 3.41400i | 0.187935 | − | 0.325512i | ||||
\(111\) | 0.178807 | − | 0.309702i | 0.0169716 | − | 0.0293956i | ||||
\(112\) | −4.26864 | −0.403348 | ||||||||
\(113\) | −5.86816 | + | 10.1640i | −0.552030 | + | 0.956144i | 0.446098 | + | 0.894984i | \(0.352813\pi\) |
−0.998128 | + | 0.0611600i | \(0.980520\pi\) | |||||||
\(114\) | −0.128192 | − | 0.222036i | −0.0120063 | − | 0.0207955i | ||||
\(115\) | 4.66086 | + | 8.07284i | 0.434627 | + | 0.752796i | ||||
\(116\) | 5.64461 | 0.524089 | ||||||||
\(117\) | −10.4528 | + | 2.73022i | −0.966358 | + | 0.252409i | ||||
\(118\) | 14.7498 | 1.35783 | ||||||||
\(119\) | −0.122290 | − | 0.211812i | −0.0112103 | − | 0.0194168i | ||||
\(120\) | 0.217627 | + | 0.376941i | 0.0198665 | + | 0.0344098i | ||||
\(121\) | 4.51691 | − | 7.82352i | 0.410628 | − | 0.711229i | ||||
\(122\) | 7.26575 | 0.657810 | ||||||||
\(123\) | 0.0730227 | − | 0.126479i | 0.00658423 | − | 0.0114042i | ||||
\(124\) | −0.278620 | + | 0.482584i | −0.0250208 | + | 0.0433373i | ||||
\(125\) | −10.5833 | −0.946601 | ||||||||
\(126\) | −2.98311 | + | 5.16689i | −0.265756 | + | 0.460304i | ||||
\(127\) | 8.35200 | + | 14.4661i | 0.741121 | + | 1.28366i | 0.951985 | + | 0.306143i | \(0.0990386\pi\) |
−0.210865 | + | 0.977515i | \(0.567628\pi\) | |||||||
\(128\) | 2.24309 | + | 3.88515i | 0.198263 | + | 0.343402i | ||||
\(129\) | −0.579360 | −0.0510098 | ||||||||
\(130\) | 2.68529 | − | 9.77447i | 0.235516 | − | 0.857278i | ||||
\(131\) | 6.70038 | 0.585415 | 0.292708 | − | 0.956202i | \(-0.405444\pi\) | ||||
0.292708 | + | 0.956202i | \(0.405444\pi\) | |||||||
\(132\) | −0.0236523 | − | 0.0409670i | −0.00205867 | − | 0.00356572i | ||||
\(133\) | −2.92231 | − | 5.06160i | −0.253397 | − | 0.438896i | ||||
\(134\) | −4.33601 | + | 7.51019i | −0.374574 | + | 0.648781i | ||||
\(135\) | 0.849689 | 0.0731296 | ||||||||
\(136\) | −0.226594 | + | 0.392472i | −0.0194302 | + | 0.0336542i | ||||
\(137\) | 2.27314 | − | 3.93720i | 0.194208 | − | 0.336378i | −0.752433 | − | 0.658669i | \(-0.771120\pi\) |
0.946641 | + | 0.322291i | \(0.104453\pi\) | |||||||
\(138\) | −0.289613 | −0.0246535 | ||||||||
\(139\) | 4.34021 | − | 7.51747i | 0.368132 | − | 0.637624i | −0.621141 | − | 0.783699i | \(-0.713331\pi\) |
0.989274 | + | 0.146075i | \(0.0466641\pi\) | |||||||
\(140\) | 1.08106 | + | 1.87245i | 0.0913660 | + | 0.158251i | ||||
\(141\) | −0.246396 | − | 0.426771i | −0.0207503 | − | 0.0359406i | ||||
\(142\) | −0.581474 | −0.0487962 | ||||||||
\(143\) | −1.33931 | + | 4.87510i | −0.111999 | + | 0.407676i | ||||
\(144\) | 7.71557 | 0.642964 | ||||||||
\(145\) | 11.8546 | + | 20.5327i | 0.984469 | + | 1.70515i | ||||
\(146\) | −1.12291 | − | 1.94494i | −0.0929327 | − | 0.160964i | ||||
\(147\) | −0.128709 | + | 0.222930i | −0.0106157 | + | 0.0183870i | ||||
\(148\) | −3.29160 | −0.270568 | ||||||||
\(149\) | −6.00496 | + | 10.4009i | −0.491945 | + | 0.852074i | −0.999957 | − | 0.00927607i | \(-0.997047\pi\) |
0.508012 | + | 0.861350i | \(0.330381\pi\) | |||||||
\(150\) | −0.0173923 | + | 0.0301244i | −0.00142008 | + | 0.00245964i | ||||
\(151\) | −13.6054 | −1.10719 | −0.553595 | − | 0.832786i | \(-0.686745\pi\) | ||||
−0.553595 | + | 0.832786i | \(0.686745\pi\) | |||||||
\(152\) | −5.41482 | + | 9.37874i | −0.439200 | + | 0.760716i | ||||
\(153\) | 0.221039 | + | 0.382851i | 0.0178700 | + | 0.0309517i | ||||
\(154\) | 1.39602 | + | 2.41797i | 0.112494 | + | 0.194846i | ||||
\(155\) | −2.34059 | −0.188000 | ||||||||
\(156\) | −0.0854654 | − | 0.0865510i | −0.00684271 | − | 0.00692963i | ||||
\(157\) | −8.51284 | −0.679398 | −0.339699 | − | 0.940534i | \(-0.610325\pi\) | ||||
−0.339699 | + | 0.940534i | \(0.610325\pi\) | |||||||
\(158\) | −8.75778 | − | 15.1689i | −0.696732 | − | 1.20677i | ||||
\(159\) | −0.322139 | − | 0.557960i | −0.0255473 | − | 0.0442491i | ||||
\(160\) | 3.56973 | − | 6.18296i | 0.282212 | − | 0.488806i | ||||
\(161\) | −6.60211 | −0.520319 | ||||||||
\(162\) | 5.38537 | − | 9.32773i | 0.423115 | − | 0.732856i | ||||
\(163\) | 2.98251 | − | 5.16585i | 0.233608 | − | 0.404621i | −0.725259 | − | 0.688476i | \(-0.758280\pi\) |
0.958867 | + | 0.283855i | \(0.0916135\pi\) | |||||||
\(164\) | −1.34425 | −0.104968 | ||||||||
\(165\) | 0.0993472 | − | 0.172074i | 0.00773417 | − | 0.0133960i | ||||
\(166\) | −5.08917 | − | 8.81471i | −0.394997 | − | 0.684154i | ||||
\(167\) | 3.75093 | + | 6.49681i | 0.290256 | + | 0.502738i | 0.973870 | − | 0.227105i | \(-0.0729262\pi\) |
−0.683614 | + | 0.729844i | \(0.739593\pi\) | |||||||
\(168\) | −0.308269 | −0.0237835 | ||||||||
\(169\) | −0.164089 | + | 12.9990i | −0.0126222 | + | 0.999920i | ||||
\(170\) | −0.414792 | −0.0318131 | ||||||||
\(171\) | 5.28209 | + | 9.14885i | 0.403931 | + | 0.699630i | ||||
\(172\) | 2.66632 | + | 4.61819i | 0.203305 | + | 0.352134i | ||||
\(173\) | −8.91193 | + | 15.4359i | −0.677561 | + | 1.17357i | 0.298152 | + | 0.954518i | \(0.403630\pi\) |
−0.975713 | + | 0.219052i | \(0.929704\pi\) | |||||||
\(174\) | −0.736611 | −0.0558423 | ||||||||
\(175\) | −0.396481 | + | 0.686725i | −0.0299711 | + | 0.0519115i | ||||
\(176\) | 1.80534 | − | 3.12694i | 0.136083 | − | 0.235702i | ||||
\(177\) | 0.743426 | 0.0558793 | ||||||||
\(178\) | 8.96602 | − | 15.5296i | 0.672032 | − | 1.16399i | ||||
\(179\) | −3.05431 | − | 5.29021i | −0.228290 | − | 0.395409i | 0.729012 | − | 0.684501i | \(-0.239980\pi\) |
−0.957301 | + | 0.289092i | \(0.906647\pi\) | |||||||
\(180\) | −1.95401 | − | 3.38445i | −0.145644 | − | 0.252262i | ||||
\(181\) | 12.8598 | 0.955862 | 0.477931 | − | 0.878397i | \(-0.341387\pi\) | ||||
0.477931 | + | 0.878397i | \(0.341387\pi\) | |||||||
\(182\) | 5.04437 | + | 5.10845i | 0.373914 | + | 0.378663i | ||||
\(183\) | 0.366212 | 0.0270712 | ||||||||
\(184\) | 6.11659 | + | 10.5943i | 0.450921 | + | 0.781019i | ||||
\(185\) | −6.91288 | − | 11.9735i | −0.508245 | − | 0.880306i | ||||
\(186\) | 0.0363594 | − | 0.0629763i | 0.00266600 | − | 0.00461765i | ||||
\(187\) | 0.206881 | 0.0151286 | ||||||||
\(188\) | −2.26791 | + | 3.92814i | −0.165405 | + | 0.286489i | ||||
\(189\) | −0.300896 | + | 0.521168i | −0.0218870 | + | 0.0379094i | ||||
\(190\) | −9.91213 | −0.719102 | ||||||||
\(191\) | 9.10001 | − | 15.7617i | 0.658453 | − | 1.14047i | −0.322563 | − | 0.946548i | \(-0.604544\pi\) |
0.981016 | − | 0.193927i | \(-0.0621223\pi\) | |||||||
\(192\) | 0.266800 | + | 0.462111i | 0.0192546 | + | 0.0333500i | ||||
\(193\) | −4.46227 | − | 7.72887i | −0.321201 | − | 0.556336i | 0.659535 | − | 0.751674i | \(-0.270753\pi\) |
−0.980736 | + | 0.195337i | \(0.937420\pi\) | |||||||
\(194\) | 10.8018 | 0.775526 | ||||||||
\(195\) | 0.135346 | − | 0.492658i | 0.00969230 | − | 0.0352800i | ||||
\(196\) | 2.36936 | 0.169240 | ||||||||
\(197\) | −0.430483 | − | 0.745618i | −0.0306706 | − | 0.0531231i | 0.850283 | − | 0.526326i | \(-0.176431\pi\) |
−0.880953 | + | 0.473203i | \(0.843098\pi\) | |||||||
\(198\) | −2.52330 | − | 4.37048i | −0.179323 | − | 0.310597i | ||||
\(199\) | −9.48486 | + | 16.4283i | −0.672364 | + | 1.16457i | 0.304868 | + | 0.952395i | \(0.401388\pi\) |
−0.977232 | + | 0.212174i | \(0.931946\pi\) | |||||||
\(200\) | 1.46930 | 0.103895 | ||||||||
\(201\) | −0.218546 | + | 0.378533i | −0.0154150 | + | 0.0266996i | ||||
\(202\) | 0.528635 | − | 0.915623i | 0.0371946 | − | 0.0644230i | ||||
\(203\) | −16.7920 | −1.17857 | ||||||||
\(204\) | −0.00248869 | + | 0.00431054i | −0.000174243 | + | 0.000301798i | ||||
\(205\) | −2.82314 | − | 4.88983i | −0.197177 | − | 0.341520i | ||||
\(206\) | 7.66441 | + | 13.2751i | 0.534004 | + | 0.924923i | ||||
\(207\) | 11.9333 | 0.829423 | ||||||||
\(208\) | 2.45951 | − | 8.95261i | 0.170536 | − | 0.620752i | ||||
\(209\) | 4.94375 | 0.341967 | ||||||||
\(210\) | −0.141076 | − | 0.244351i | −0.00973516 | − | 0.0168618i | ||||
\(211\) | 2.05003 | + | 3.55076i | 0.141130 | + | 0.244444i | 0.927922 | − | 0.372773i | \(-0.121593\pi\) |
−0.786792 | + | 0.617218i | \(0.788260\pi\) | |||||||
\(212\) | −2.96507 | + | 5.13566i | −0.203642 | + | 0.352719i | ||||
\(213\) | −0.0293078 | −0.00200813 | ||||||||
\(214\) | −1.51081 | + | 2.61679i | −0.103277 | + | 0.178880i | ||||
\(215\) | −11.1994 | + | 19.3979i | −0.763791 | + | 1.32293i | ||||
\(216\) | 1.11507 | 0.0758712 | ||||||||
\(217\) | 0.828861 | − | 1.43563i | 0.0562667 | − | 0.0974568i | ||||
\(218\) | 9.69480 | + | 16.7919i | 0.656614 | + | 1.13729i | ||||
\(219\) | −0.0565976 | − | 0.0980298i | −0.00382451 | − | 0.00662424i | ||||
\(220\) | −1.82885 | −0.123301 | ||||||||
\(221\) | 0.514695 | − | 0.134436i | 0.0346221 | − | 0.00904316i | ||||
\(222\) | 0.429547 | 0.0288293 | ||||||||
\(223\) | 4.39466 | + | 7.61178i | 0.294288 | + | 0.509722i | 0.974819 | − | 0.222997i | \(-0.0715841\pi\) |
−0.680531 | + | 0.732720i | \(0.738251\pi\) | |||||||
\(224\) | 2.52827 | + | 4.37909i | 0.168927 | + | 0.292590i | ||||
\(225\) | 0.716640 | − | 1.24126i | 0.0477760 | − | 0.0827504i | ||||
\(226\) | −14.0971 | −0.937723 | ||||||||
\(227\) | 2.85795 | − | 4.95011i | 0.189689 | − | 0.328550i | −0.755458 | − | 0.655197i | \(-0.772585\pi\) |
0.945146 | + | 0.326647i | \(0.105919\pi\) | |||||||
\(228\) | −0.0594713 | + | 0.103007i | −0.00393858 | + | 0.00682182i | ||||
\(229\) | 18.6835 | 1.23464 | 0.617320 | − | 0.786712i | \(-0.288219\pi\) | ||||
0.617320 | + | 0.786712i | \(0.288219\pi\) | |||||||
\(230\) | −5.59839 | + | 9.69669i | −0.369147 | + | 0.639381i | ||||
\(231\) | 0.0703627 | + | 0.121872i | 0.00462953 | + | 0.00801858i | ||||
\(232\) | 15.5572 | + | 26.9458i | 1.02138 | + | 1.76908i | ||||
\(233\) | 22.6389 | 1.48312 | 0.741561 | − | 0.670885i | \(-0.234086\pi\) | ||||
0.741561 | + | 0.670885i | \(0.234086\pi\) | |||||||
\(234\) | −9.11771 | − | 9.23353i | −0.596043 | − | 0.603615i | ||||
\(235\) | −19.0519 | −1.24281 | ||||||||
\(236\) | −3.42138 | − | 5.92600i | −0.222713 | − | 0.385749i | ||||
\(237\) | −0.441414 | − | 0.764552i | −0.0286729 | − | 0.0496630i | ||||
\(238\) | 0.146888 | − | 0.254418i | 0.00952137 | − | 0.0164915i | ||||
\(239\) | 16.7666 | 1.08454 | 0.542272 | − | 0.840203i | \(-0.317564\pi\) | ||||
0.542272 | + | 0.840203i | \(0.317564\pi\) | |||||||
\(240\) | −0.182441 | + | 0.315997i | −0.0117765 | + | 0.0203975i | ||||
\(241\) | 0.362988 | − | 0.628713i | 0.0233821 | − | 0.0404990i | −0.854098 | − | 0.520113i | \(-0.825890\pi\) |
0.877480 | + | 0.479614i | \(0.159223\pi\) | |||||||
\(242\) | 10.8510 | 0.697527 | ||||||||
\(243\) | 0.815972 | − | 1.41331i | 0.0523447 | − | 0.0906636i | ||||
\(244\) | −1.68537 | − | 2.91915i | −0.107895 | − | 0.186879i | ||||
\(245\) | 4.97604 | + | 8.61875i | 0.317907 | + | 0.550632i | ||||
\(246\) | 0.175422 | 0.0111845 | ||||||||
\(247\) | 12.2995 | − | 3.21257i | 0.782596 | − | 0.204411i | ||||
\(248\) | −3.07163 | −0.195049 | ||||||||
\(249\) | −0.256507 | − | 0.444284i | −0.0162555 | − | 0.0281553i | ||||
\(250\) | −6.35608 | − | 11.0090i | −0.401994 | − | 0.696273i | ||||
\(251\) | −0.223767 | + | 0.387576i | −0.0141241 | + | 0.0244636i | −0.873001 | − | 0.487718i | \(-0.837829\pi\) |
0.858877 | + | 0.512182i | \(0.171163\pi\) | |||||||
\(252\) | 2.76786 | 0.174359 | ||||||||
\(253\) | 2.79224 | − | 4.83630i | 0.175547 | − | 0.304056i | ||||
\(254\) | −10.0320 | + | 17.3759i | −0.629464 | + | 1.09026i | ||||
\(255\) | −0.0209066 | −0.00130922 | ||||||||
\(256\) | 6.11957 | − | 10.5994i | 0.382473 | − | 0.662463i | ||||
\(257\) | 6.34001 | + | 10.9812i | 0.395479 | + | 0.684990i | 0.993162 | − | 0.116743i | \(-0.0372452\pi\) |
−0.597683 | + | 0.801732i | \(0.703912\pi\) | |||||||
\(258\) | −0.347949 | − | 0.602666i | −0.0216624 | − | 0.0375203i | ||||
\(259\) | 9.79210 | 0.608451 | ||||||||
\(260\) | −4.54996 | + | 1.18843i | −0.282177 | + | 0.0737034i | ||||
\(261\) | 30.3516 | 1.87872 | ||||||||
\(262\) | 4.02408 | + | 6.96991i | 0.248608 | + | 0.430602i | ||||
\(263\) | 4.34953 | + | 7.53360i | 0.268203 | + | 0.464542i | 0.968398 | − | 0.249410i | \(-0.0802368\pi\) |
−0.700195 | + | 0.713952i | \(0.746903\pi\) | |||||||
\(264\) | 0.130377 | − | 0.225819i | 0.00802412 | − | 0.0138982i | ||||
\(265\) | −24.9085 | −1.53012 | ||||||||
\(266\) | 3.51014 | − | 6.07973i | 0.215220 | − | 0.372772i | ||||
\(267\) | 0.451910 | − | 0.782732i | 0.0276565 | − | 0.0479024i | ||||
\(268\) | 4.02314 | 0.245753 | ||||||||
\(269\) | 12.1367 | − | 21.0215i | 0.739991 | − | 1.28170i | −0.212508 | − | 0.977159i | \(-0.568163\pi\) |
0.952499 | − | 0.304542i | \(-0.0985035\pi\) | |||||||
\(270\) | 0.510302 | + | 0.883869i | 0.0310560 | + | 0.0537905i | ||||
\(271\) | −8.75692 | − | 15.1674i | −0.531945 | − | 0.921355i | −0.999305 | − | 0.0372881i | \(-0.988128\pi\) |
0.467360 | − | 0.884067i | \(-0.345205\pi\) | |||||||
\(272\) | −0.379915 | −0.0230358 | ||||||||
\(273\) | 0.254249 | + | 0.257479i | 0.0153879 | + | 0.0155833i | ||||
\(274\) | 5.46077 | 0.329897 | ||||||||
\(275\) | −0.335368 | − | 0.580875i | −0.0202235 | − | 0.0350281i | ||||
\(276\) | 0.0671789 | + | 0.116357i | 0.00404370 | + | 0.00700389i | ||||
\(277\) | 8.10187 | − | 14.0329i | 0.486794 | − | 0.843152i | −0.513091 | − | 0.858335i | \(-0.671499\pi\) |
0.999885 | + | 0.0151822i | \(0.00483282\pi\) | |||||||
\(278\) | 10.4265 | 0.625339 | ||||||||
\(279\) | −1.49817 | + | 2.59490i | −0.0896929 | + | 0.155353i | ||||
\(280\) | −5.95902 | + | 10.3213i | −0.356120 | + | 0.616817i | ||||
\(281\) | −30.4658 | −1.81743 | −0.908717 | − | 0.417412i | \(-0.862937\pi\) | ||||
−0.908717 | + | 0.417412i | \(0.862937\pi\) | |||||||
\(282\) | 0.295959 | − | 0.512615i | 0.0176241 | − | 0.0305258i | ||||
\(283\) | −7.40655 | − | 12.8285i | −0.440274 | − | 0.762576i | 0.557436 | − | 0.830220i | \(-0.311785\pi\) |
−0.997710 | + | 0.0676437i | \(0.978452\pi\) | |||||||
\(284\) | 0.134879 | + | 0.233618i | 0.00800361 | + | 0.0138627i | ||||
\(285\) | −0.499597 | −0.0295936 | ||||||||
\(286\) | −5.87556 | + | 1.53467i | −0.347429 | + | 0.0907471i | ||||
\(287\) | 3.99899 | 0.236053 | ||||||||
\(288\) | −4.56985 | − | 7.91521i | −0.269281 | − | 0.466408i | ||||
\(289\) | 8.48912 | + | 14.7036i | 0.499360 | + | 0.864916i | ||||
\(290\) | −14.2391 | + | 24.6629i | −0.836150 | + | 1.44825i | ||||
\(291\) | 0.544440 | 0.0319156 | ||||||||
\(292\) | −0.520943 | + | 0.902300i | −0.0304859 | + | 0.0528031i | ||||
\(293\) | −0.348053 | + | 0.602846i | −0.0203335 | + | 0.0352186i | −0.876013 | − | 0.482287i | \(-0.839806\pi\) |
0.855680 | + | 0.517506i | \(0.173139\pi\) | |||||||
\(294\) | −0.309197 | −0.0180328 | ||||||||
\(295\) | 14.3709 | − | 24.8911i | 0.836704 | − | 1.44921i | ||||
\(296\) | −9.07199 | − | 15.7132i | −0.527299 | − | 0.913309i | ||||
\(297\) | −0.254517 | − | 0.440837i | −0.0147686 | − | 0.0255799i | ||||
\(298\) | −14.4257 | −0.835658 | ||||||||
\(299\) | 3.80401 | − | 13.8466i | 0.219991 | − | 0.800769i | ||||
\(300\) | 0.0161374 | 0.000931691 | ||||||||
\(301\) | −7.93197 | − | 13.7386i | −0.457191 | − | 0.791878i | ||||
\(302\) | −8.17105 | − | 14.1527i | −0.470191 | − | 0.814395i | ||||
\(303\) | 0.0266446 | − | 0.0461497i | 0.00153069 | − | 0.00265123i | ||||
\(304\) | −9.07869 | −0.520699 | ||||||||
\(305\) | 7.07910 | − | 12.2614i | 0.405348 | − | 0.702084i | ||||
\(306\) | −0.265501 | + | 0.459862i | −0.0151777 | + | 0.0262885i | ||||
\(307\) | 26.6000 | 1.51814 | 0.759071 | − | 0.651008i | \(-0.225654\pi\) | ||||
0.759071 | + | 0.651008i | \(0.225654\pi\) | |||||||
\(308\) | 0.647643 | − | 1.12175i | 0.0369029 | − | 0.0639176i | ||||
\(309\) | 0.386306 | + | 0.669101i | 0.0219762 | + | 0.0380638i | ||||
\(310\) | −1.40570 | − | 2.43474i | −0.0798382 | − | 0.138284i | ||||
\(311\) | −3.79985 | −0.215470 | −0.107735 | − | 0.994180i | \(-0.534360\pi\) | ||||
−0.107735 | + | 0.994180i | \(0.534360\pi\) | |||||||
\(312\) | 0.177619 | − | 0.646532i | 0.0100557 | − | 0.0366026i | ||||
\(313\) | −6.95115 | −0.392902 | −0.196451 | − | 0.980514i | \(-0.562942\pi\) | ||||
−0.196451 | + | 0.980514i | \(0.562942\pi\) | |||||||
\(314\) | −5.11260 | − | 8.85528i | −0.288520 | − | 0.499732i | ||||
\(315\) | 5.81295 | + | 10.0683i | 0.327523 | + | 0.567286i | ||||
\(316\) | −4.06293 | + | 7.03720i | −0.228558 | + | 0.395874i | ||||
\(317\) | −10.0888 | −0.566643 | −0.283321 | − | 0.959025i | \(-0.591436\pi\) | ||||
−0.283321 | + | 0.959025i | \(0.591436\pi\) | |||||||
\(318\) | 0.386937 | − | 0.670194i | 0.0216983 | − | 0.0375826i | ||||
\(319\) | 7.10188 | − | 12.3008i | 0.397629 | − | 0.688713i | ||||
\(320\) | 20.6296 | 1.15323 | ||||||||
\(321\) | −0.0761484 | + | 0.131893i | −0.00425019 | + | 0.00736155i | ||||
\(322\) | −3.96506 | − | 6.86769i | −0.220964 | − | 0.382721i | ||||
\(323\) | −0.260090 | − | 0.450490i | −0.0144718 | − | 0.0250659i | ||||
\(324\) | −4.99679 | −0.277599 | ||||||||
\(325\) | −1.21182 | − | 1.22722i | −0.0672198 | − | 0.0680737i | ||||
\(326\) | 7.16487 | 0.396825 | ||||||||
\(327\) | 0.488642 | + | 0.846353i | 0.0270220 | + | 0.0468035i | ||||
\(328\) | −3.70490 | − | 6.41708i | −0.204569 | − | 0.354324i | ||||
\(329\) | 6.74677 | − | 11.6857i | 0.371961 | − | 0.644256i | ||||
\(330\) | 0.238662 | 0.0131379 | ||||||||
\(331\) | −16.0533 | + | 27.8051i | −0.882367 | + | 1.52830i | −0.0336642 | + | 0.999433i | \(0.510718\pi\) |
−0.848702 | + | 0.528871i | \(0.822616\pi\) | |||||||
\(332\) | −2.36098 | + | 4.08934i | −0.129576 | + | 0.224432i | ||||
\(333\) | −17.6992 | −0.969912 | ||||||||
\(334\) | −4.50543 | + | 7.80364i | −0.246526 | + | 0.426996i | ||||
\(335\) | 8.44924 | + | 14.6345i | 0.461631 | + | 0.799569i | ||||
\(336\) | −0.129214 | − | 0.223805i | −0.00704919 | − | 0.0122096i | ||||
\(337\) | 7.52316 | 0.409813 | 0.204906 | − | 0.978782i | \(-0.434311\pi\) | ||||
0.204906 | + | 0.978782i | \(0.434311\pi\) | |||||||
\(338\) | −13.6204 | + | 7.63616i | −0.740852 | + | 0.415352i | ||||
\(339\) | −0.710529 | −0.0385906 | ||||||||
\(340\) | 0.0962157 | + | 0.166651i | 0.00521803 | + | 0.00903789i | ||||
\(341\) | 0.701103 | + | 1.21435i | 0.0379668 | + | 0.0657605i | ||||
\(342\) | −6.34458 | + | 10.9891i | −0.343075 | + | 0.594224i | ||||
\(343\) | −18.6526 | −1.00715 | ||||||||
\(344\) | −14.6973 | + | 25.4565i | −0.792426 | + | 1.37252i | ||||
\(345\) | −0.282173 | + | 0.488738i | −0.0151917 | + | 0.0263128i | ||||
\(346\) | −21.4091 | −1.15096 | ||||||||
\(347\) | 8.54638 | − | 14.8028i | 0.458794 | − | 0.794654i | −0.540104 | − | 0.841598i | \(-0.681615\pi\) |
0.998897 | + | 0.0469445i | \(0.0149484\pi\) | |||||||
\(348\) | 0.170865 | + | 0.295947i | 0.00915933 | + | 0.0158644i | ||||
\(349\) | 7.81794 | + | 13.5411i | 0.418485 | + | 0.724837i | 0.995787 | − | 0.0916935i | \(-0.0292280\pi\) |
−0.577303 | + | 0.816530i | \(0.695895\pi\) | |||||||
\(350\) | −0.952465 | −0.0509114 | ||||||||
\(351\) | −0.919674 | − | 0.931356i | −0.0490885 | − | 0.0497121i | ||||
\(352\) | −4.27713 | −0.227972 | ||||||||
\(353\) | −8.10588 | − | 14.0398i | −0.431433 | − | 0.747263i | 0.565564 | − | 0.824704i | \(-0.308658\pi\) |
−0.996997 | + | 0.0774410i | \(0.975325\pi\) | |||||||
\(354\) | 0.446483 | + | 0.773331i | 0.0237303 | + | 0.0411021i | ||||
\(355\) | −0.566536 | + | 0.981269i | −0.0300686 | + | 0.0520804i | ||||
\(356\) | −8.31908 | −0.440910 | ||||||||
\(357\) | 0.00740355 | − | 0.0128233i | 0.000391838 | − | 0.000678683i | ||||
\(358\) | 3.66868 | − | 6.35434i | 0.193896 | − | 0.335837i | ||||
\(359\) | 4.49983 | 0.237492 | 0.118746 | − | 0.992925i | \(-0.462113\pi\) | ||||
0.118746 | + | 0.992925i | \(0.462113\pi\) | |||||||
\(360\) | 10.7709 | − | 18.6558i | 0.567678 | − | 0.983248i | ||||
\(361\) | 3.28472 | + | 5.68930i | 0.172880 | + | 0.299437i | ||||
\(362\) | 7.72327 | + | 13.3771i | 0.405926 | + | 0.703085i | ||||
\(363\) | 0.546916 | 0.0287057 | ||||||||
\(364\) | 0.882316 | − | 3.21163i | 0.0462459 | − | 0.168335i | ||||
\(365\) | −4.37626 | −0.229064 | ||||||||
\(366\) | 0.219938 | + | 0.380944i | 0.0114963 | + | 0.0199122i | ||||
\(367\) | 0.113121 | + | 0.195931i | 0.00590486 | + | 0.0102275i | 0.868963 | − | 0.494878i | \(-0.164787\pi\) |
−0.863058 | + | 0.505105i | \(0.831454\pi\) | |||||||
\(368\) | −5.12766 | + | 8.88136i | −0.267298 | + | 0.462973i | ||||
\(369\) | −7.22817 | −0.376284 | ||||||||
\(370\) | 8.30340 | − | 14.3819i | 0.431673 | − | 0.747680i | ||||
\(371\) | 8.82074 | − | 15.2780i | 0.457950 | − | 0.793192i | ||||
\(372\) | −0.0337359 | −0.00174912 | ||||||||
\(373\) | 2.03649 | − | 3.52731i | 0.105446 | − | 0.182637i | −0.808475 | − | 0.588531i | \(-0.799706\pi\) |
0.913920 | + | 0.405894i | \(0.133040\pi\) | |||||||
\(374\) | 0.124247 | + | 0.215203i | 0.00642469 | + | 0.0111279i | ||||
\(375\) | −0.320363 | − | 0.554884i | −0.0165434 | − | 0.0286541i | ||||
\(376\) | −25.0025 | −1.28940 | ||||||||
\(377\) | 9.67524 | − | 35.2179i | 0.498300 | − | 1.81381i | ||||
\(378\) | −0.722843 | −0.0371790 | ||||||||
\(379\) | 6.93346 | + | 12.0091i | 0.356148 | + | 0.616867i | 0.987314 | − | 0.158781i | \(-0.0507565\pi\) |
−0.631166 | + | 0.775648i | \(0.717423\pi\) | |||||||
\(380\) | 2.29923 | + | 3.98238i | 0.117948 | + | 0.204292i | ||||
\(381\) | −0.505639 | + | 0.875792i | −0.0259047 | + | 0.0448682i | ||||
\(382\) | 21.8609 | 1.11850 | ||||||||
\(383\) | 10.6710 | − | 18.4827i | 0.545264 | − | 0.944424i | −0.453327 | − | 0.891344i | \(-0.649763\pi\) |
0.998590 | − | 0.0530798i | \(-0.0169038\pi\) | |||||||
\(384\) | −0.135799 | + | 0.235211i | −0.00692996 | + | 0.0120030i | ||||
\(385\) | 5.44061 | 0.277279 | ||||||||
\(386\) | 5.35985 | − | 9.28353i | 0.272809 | − | 0.472519i | ||||
\(387\) | 14.3370 | + | 24.8325i | 0.728793 | + | 1.26231i | ||||
\(388\) | −2.50561 | − | 4.33984i | −0.127203 | − | 0.220322i | ||||
\(389\) | −10.6405 | −0.539493 | −0.269747 | − | 0.962931i | \(-0.586940\pi\) | ||||
−0.269747 | + | 0.962931i | \(0.586940\pi\) | |||||||
\(390\) | 0.593761 | − | 0.155088i | 0.0300663 | − | 0.00785319i | ||||
\(391\) | −0.587598 | −0.0297161 | ||||||||
\(392\) | 6.53022 | + | 11.3107i | 0.329826 | + | 0.571275i | ||||
\(393\) | 0.202824 | + | 0.351301i | 0.0102311 | + | 0.0177208i | ||||
\(394\) | 0.517074 | − | 0.895599i | 0.0260498 | − | 0.0451196i | ||||
\(395\) | −34.1312 | −1.71733 | ||||||||
\(396\) | −1.17062 | + | 2.02757i | −0.0588256 | + | 0.101889i | ||||
\(397\) | 5.51157 | − | 9.54632i | 0.276618 | − | 0.479116i | −0.693924 | − | 0.720048i | \(-0.744120\pi\) |
0.970542 | + | 0.240932i | \(0.0774531\pi\) | |||||||
\(398\) | −22.7855 | −1.14213 | ||||||||
\(399\) | 0.176920 | − | 0.306434i | 0.00885707 | − | 0.0153409i | ||||
\(400\) | 0.615869 | + | 1.06672i | 0.0307934 | + | 0.0533358i | ||||
\(401\) | 1.05787 | + | 1.83229i | 0.0528277 | + | 0.0915003i | 0.891230 | − | 0.453552i | \(-0.149843\pi\) |
−0.838402 | + | 0.545052i | \(0.816510\pi\) | |||||||
\(402\) | −0.525013 | −0.0261852 | ||||||||
\(403\) | 2.53337 | + | 2.56555i | 0.126196 | + | 0.127799i | ||||
\(404\) | −0.490491 | −0.0244029 | ||||||||
\(405\) | −10.4940 | − | 18.1762i | −0.521454 | − | 0.903184i | ||||
\(406\) | −10.0849 | − | 17.4675i | −0.500503 | − | 0.866897i | ||||
\(407\) | −4.14139 | + | 7.17309i | −0.205281 | + | 0.355557i | ||||
\(408\) | −0.0274364 | −0.00135830 | ||||||||
\(409\) | 3.28266 | − | 5.68573i | 0.162317 | − | 0.281141i | −0.773382 | − | 0.633940i | \(-0.781437\pi\) |
0.935699 | + | 0.352799i | \(0.114770\pi\) | |||||||
\(410\) | 3.39102 | − | 5.87341i | 0.167470 | − | 0.290067i | ||||
\(411\) | 0.275237 | 0.0135764 | ||||||||
\(412\) | 3.55569 | − | 6.15863i | 0.175176 | − | 0.303414i | ||||
\(413\) | 10.1782 | + | 17.6291i | 0.500835 | + | 0.867472i | ||||
\(414\) | 7.16685 | + | 12.4134i | 0.352232 | + | 0.610083i | ||||
\(415\) | −19.8338 | −0.973601 | ||||||||
\(416\) | −10.6410 | + | 2.77938i | −0.521717 | + | 0.136271i | ||||
\(417\) | 0.525522 | 0.0257349 | ||||||||
\(418\) | 2.96909 | + | 5.14262i | 0.145223 | + | 0.251534i | ||||
\(419\) | 8.23564 | + | 14.2645i | 0.402337 | + | 0.696868i | 0.994008 | − | 0.109312i | \(-0.0348646\pi\) |
−0.591670 | + | 0.806180i | \(0.701531\pi\) | |||||||
\(420\) | −0.0654483 | + | 0.113360i | −0.00319355 | + | 0.00553139i | ||||
\(421\) | 1.14696 | 0.0558992 | 0.0279496 | − | 0.999609i | \(-0.491102\pi\) | ||||
0.0279496 | + | 0.999609i | \(0.491102\pi\) | |||||||
\(422\) | −2.46239 | + | 4.26499i | −0.119867 | + | 0.207617i | ||||
\(423\) | −12.1948 | + | 21.1220i | −0.592931 | + | 1.02699i | ||||
\(424\) | −32.6883 | −1.58748 | ||||||||
\(425\) | −0.0352874 | + | 0.0611196i | −0.00171169 | + | 0.00296473i | ||||
\(426\) | −0.0176015 | − | 0.0304867i | −0.000852795 | − | 0.00147708i | ||||
\(427\) | 5.01378 | + | 8.68412i | 0.242634 | + | 0.420254i | ||||
\(428\) | 1.40179 | 0.0677582 | ||||||||
\(429\) | −0.296143 | + | 0.0773514i | −0.0142979 | + | 0.00373456i | ||||
\(430\) | −26.9043 | −1.29744 | ||||||||
\(431\) | −6.45553 | − | 11.1813i | −0.310952 | − | 0.538584i | 0.667617 | − | 0.744505i | \(-0.267314\pi\) |
−0.978569 | + | 0.205921i | \(0.933981\pi\) | |||||||
\(432\) | 0.467394 | + | 0.809550i | 0.0224875 | + | 0.0389495i | ||||
\(433\) | 18.5338 | − | 32.1016i | 0.890680 | − | 1.54270i | 0.0516178 | − | 0.998667i | \(-0.483562\pi\) |
0.839062 | − | 0.544036i | \(-0.183104\pi\) | |||||||
\(434\) | 1.99117 | 0.0955793 | ||||||||
\(435\) | −0.717688 | + | 1.24307i | −0.0344105 | + | 0.0596007i | ||||
\(436\) | 4.49763 | − | 7.79013i | 0.215398 | − | 0.373079i | ||||
\(437\) | −14.0416 | −0.671701 | ||||||||
\(438\) | 0.0679821 | − | 0.117748i | 0.00324831 | − | 0.00562624i | ||||
\(439\) | −1.16890 | − | 2.02459i | −0.0557884 | − | 0.0966283i | 0.836782 | − | 0.547535i | \(-0.184434\pi\) |
−0.892571 | + | 0.450907i | \(0.851101\pi\) | |||||||
\(440\) | −5.04051 | − | 8.73042i | −0.240297 | − | 0.416207i | ||||
\(441\) | 12.7403 | 0.606681 | ||||||||
\(442\) | 0.448957 | + | 0.454660i | 0.0213547 | + | 0.0216260i | ||||
\(443\) | −33.6602 | −1.59924 | −0.799621 | − | 0.600505i | \(-0.794966\pi\) | ||||
−0.799621 | + | 0.600505i | \(0.794966\pi\) | |||||||
\(444\) | −0.0996383 | − | 0.172579i | −0.00472862 | − | 0.00819021i | ||||
\(445\) | −17.4714 | − | 30.2613i | −0.828223 | − | 1.43452i | ||||
\(446\) | −5.27865 | + | 9.14288i | −0.249951 | + | 0.432928i | ||||
\(447\) | −0.727092 | −0.0343903 | ||||||||
\(448\) | −7.30546 | + | 12.6534i | −0.345151 | + | 0.597819i | ||||
\(449\) | 12.8288 | − | 22.2202i | 0.605431 | − | 1.04864i | −0.386552 | − | 0.922267i | \(-0.626334\pi\) |
0.991983 | − | 0.126369i | \(-0.0403325\pi\) | |||||||
\(450\) | 1.72158 | 0.0811562 | ||||||||
\(451\) | −1.69130 | + | 2.92941i | −0.0796401 | + | 0.137941i | ||||
\(452\) | 3.26997 | + | 5.66376i | 0.153807 | + | 0.266401i | ||||
\(453\) | −0.411842 | − | 0.713331i | −0.0193500 | − | 0.0335152i | ||||
\(454\) | 6.86565 | 0.322221 | ||||||||
\(455\) | 13.5356 | − | 3.53544i | 0.634558 | − | 0.165744i | ||||
\(456\) | −0.655637 | −0.0307030 | ||||||||
\(457\) | 6.82392 | + | 11.8194i | 0.319210 | + | 0.552887i | 0.980323 | − | 0.197398i | \(-0.0632493\pi\) |
−0.661114 | + | 0.750286i | \(0.729916\pi\) | |||||||
\(458\) | 11.2208 | + | 19.4350i | 0.524315 | + | 0.908140i | ||||
\(459\) | −0.0267802 | + | 0.0463847i | −0.00124999 | + | 0.00216505i | ||||
\(460\) | 5.19443 | 0.242192 | ||||||||
\(461\) | 6.16708 | − | 10.6817i | 0.287229 | − | 0.497496i | −0.685918 | − | 0.727679i | \(-0.740599\pi\) |
0.973147 | + | 0.230183i | \(0.0739324\pi\) | |||||||
\(462\) | −0.0845162 | + | 0.146386i | −0.00393205 | + | 0.00681051i | ||||
\(463\) | 17.2096 | 0.799796 | 0.399898 | − | 0.916560i | \(-0.369046\pi\) | ||||
0.399898 | + | 0.916560i | \(0.369046\pi\) | |||||||
\(464\) | −13.0419 | + | 22.5892i | −0.605453 | + | 1.04868i | ||||
\(465\) | −0.0708507 | − | 0.122717i | −0.00328562 | − | 0.00569087i | ||||
\(466\) | 13.5963 | + | 23.5495i | 0.629838 | + | 1.09091i | ||||
\(467\) | −35.7440 | −1.65404 | −0.827018 | − | 0.562175i | \(-0.809965\pi\) | ||||
−0.827018 | + | 0.562175i | \(0.809965\pi\) | |||||||
\(468\) | −1.59479 | + | 5.80503i | −0.0737191 | + | 0.268338i | ||||
\(469\) | −11.9684 | −0.552648 | ||||||||
\(470\) | −11.4421 | − | 19.8183i | −0.527785 | − | 0.914150i | ||||
\(471\) | −0.257688 | − | 0.446328i | −0.0118736 | − | 0.0205657i | ||||
\(472\) | 18.8594 | − | 32.6654i | 0.868072 | − | 1.50355i | ||||
\(473\) | 13.4187 | 0.616993 | ||||||||
\(474\) | 0.530205 | − | 0.918341i | 0.0243531 | − | 0.0421808i | ||||
\(475\) | −0.843249 | + | 1.46055i | −0.0386909 | + | 0.0670146i | ||||
\(476\) | −0.136290 | −0.00624683 | ||||||||
\(477\) | −15.9435 | + | 27.6149i | −0.730003 | + | 1.26440i | ||||
\(478\) | 10.0696 | + | 17.4411i | 0.460574 | + | 0.797737i | ||||
\(479\) | −16.1387 | − | 27.9531i | −0.737396 | − | 1.27721i | −0.953664 | − | 0.300874i | \(-0.902722\pi\) |
0.216268 | − | 0.976334i | \(-0.430612\pi\) | |||||||
\(480\) | 0.432231 | 0.0197285 | ||||||||
\(481\) | −5.64202 | + | 20.5370i | −0.257254 | + | 0.936404i | ||||
\(482\) | 0.872005 | 0.0397187 | ||||||||
\(483\) | −0.199849 | − | 0.346149i | −0.00909345 | − | 0.0157503i | ||||
\(484\) | −2.51700 | − | 4.35958i | −0.114409 | − | 0.198163i | ||||
\(485\) | 10.5243 | − | 18.2287i | 0.477886 | − | 0.827723i | ||||
\(486\) | 1.96021 | 0.0889169 | ||||||||
\(487\) | −11.2876 | + | 19.5507i | −0.511490 | + | 0.885927i | 0.488421 | + | 0.872608i | \(0.337573\pi\) |
−0.999911 | + | 0.0133191i | \(0.995760\pi\) | |||||||
\(488\) | 9.29013 | − | 16.0910i | 0.420545 | − | 0.728405i | ||||
\(489\) | 0.361128 | 0.0163308 | ||||||||
\(490\) | −5.97697 | + | 10.3524i | −0.270012 | + | 0.467674i | ||||
\(491\) | −2.40307 | − | 4.16223i | −0.108449 | − | 0.187839i | 0.806693 | − | 0.590971i | \(-0.201255\pi\) |
−0.915142 | + | 0.403132i | \(0.867922\pi\) | |||||||
\(492\) | −0.0406912 | − | 0.0704792i | −0.00183450 | − | 0.00317745i | ||||
\(493\) | −1.49452 | −0.0673096 | ||||||||
\(494\) | 10.7285 | + | 10.8648i | 0.482700 | + | 0.488832i | ||||
\(495\) | −9.83392 | −0.442002 | ||||||||
\(496\) | −1.28750 | − | 2.23002i | −0.0578105 | − | 0.100131i | ||||
\(497\) | −0.401250 | − | 0.694985i | −0.0179985 | − | 0.0311743i | ||||
\(498\) | 0.308104 | − | 0.533651i | 0.0138065 | − | 0.0239135i | ||||
\(499\) | −27.3606 | −1.22483 | −0.612413 | − | 0.790538i | \(-0.709801\pi\) | ||||
−0.612413 | + | 0.790538i | \(0.709801\pi\) | |||||||
\(500\) | −2.94873 | + | 5.10734i | −0.131871 | + | 0.228407i | ||||
\(501\) | −0.227085 | + | 0.393323i | −0.0101454 | + | 0.0175724i | ||||
\(502\) | −0.537556 | −0.0239923 | ||||||||
\(503\) | −19.8910 | + | 34.4523i | −0.886897 | + | 1.53615i | −0.0433731 | + | 0.999059i | \(0.513810\pi\) |
−0.843524 | + | 0.537092i | \(0.819523\pi\) | |||||||
\(504\) | 7.62852 | + | 13.2130i | 0.339801 | + | 0.588553i | ||||
\(505\) | −1.03011 | − | 1.78420i | −0.0458393 | − | 0.0793960i | ||||
\(506\) | 6.70779 | 0.298198 | ||||||||
\(507\) | −0.686503 | + | 0.384882i | −0.0304887 | + | 0.0170932i | ||||
\(508\) | 9.30814 | 0.412982 | ||||||||
\(509\) | 4.16230 | + | 7.20932i | 0.184491 | + | 0.319548i | 0.943405 | − | 0.331643i | \(-0.107603\pi\) |
−0.758914 | + | 0.651191i | \(0.774270\pi\) | |||||||
\(510\) | −0.0125560 | − | 0.0217476i | −0.000555988 | − | 0.000962999i | ||||
\(511\) | 1.54974 | − | 2.68423i | 0.0685566 | − | 0.118744i | ||||
\(512\) | 23.6734 | 1.04623 | ||||||||
\(513\) | −0.639957 | + | 1.10844i | −0.0282548 | + | 0.0489387i | ||||
\(514\) | −7.61530 | + | 13.1901i | −0.335897 | + | 0.581790i | ||||
\(515\) | 29.8701 | 1.31623 | ||||||||
\(516\) | −0.161421 | + | 0.279590i | −0.00710618 | + | 0.0123083i | ||||
\(517\) | 5.70684 | + | 9.88454i | 0.250987 | + | 0.434722i | ||||
\(518\) | 5.88089 | + | 10.1860i | 0.258391 | + | 0.447547i | ||||
\(519\) | −1.07907 | −0.0473661 | ||||||||
\(520\) | −18.2134 | − | 18.4448i | −0.798711 | − | 0.808857i | ||||
\(521\) | −17.5630 | −0.769451 | −0.384725 | − | 0.923031i | \(-0.625704\pi\) | ||||
−0.384725 | + | 0.923031i | \(0.625704\pi\) | |||||||
\(522\) | 18.2284 | + | 31.5725i | 0.797836 | + | 1.38189i | ||||
\(523\) | −3.69591 | − | 6.40151i | −0.161611 | − | 0.279918i | 0.773836 | − | 0.633386i | \(-0.218336\pi\) |
−0.935447 | + | 0.353468i | \(0.885002\pi\) | |||||||
\(524\) | 1.86686 | − | 3.23350i | 0.0815542 | − | 0.141256i | ||||
\(525\) | −0.0480067 | −0.00209518 | ||||||||
\(526\) | −5.22443 | + | 9.04898i | −0.227796 | + | 0.394554i | ||||
\(527\) | 0.0737699 | − | 0.127773i | 0.00321347 | − | 0.00556589i | ||||
\(528\) | 0.218594 | 0.00951310 | ||||||||
\(529\) | 3.56929 | − | 6.18218i | 0.155186 | − | 0.268791i | ||||
\(530\) | −14.9594 | − | 25.9105i | −0.649796 | − | 1.12548i | ||||
\(531\) | −18.3971 | − | 31.8647i | −0.798365 | − | 1.38281i | ||||
\(532\) | −3.25686 | −0.141203 | ||||||||
\(533\) | −2.30414 | + | 8.38707i | −0.0998033 | + | 0.363284i | ||||
\(534\) | 1.08562 | 0.0469795 | ||||||||
\(535\) | 2.94399 | + | 5.09914i | 0.127280 | + | 0.220455i | ||||
\(536\) | 11.0882 | + | 19.2054i | 0.478938 | + | 0.829545i | ||||
\(537\) | 0.184911 | − | 0.320275i | 0.00797949 | − | 0.0138209i | ||||
\(538\) | 29.1561 | 1.25701 | ||||||||
\(539\) | 2.98106 | − | 5.16335i | 0.128403 | − | 0.222401i | ||||
\(540\) | 0.236740 | − | 0.410046i | 0.0101877 | − | 0.0176456i | ||||
\(541\) | 44.9745 | 1.93360 | 0.966802 | − | 0.255525i | \(-0.0822483\pi\) | ||||
0.966802 | + | 0.255525i | \(0.0822483\pi\) | |||||||
\(542\) | 10.5184 | − | 18.2183i | 0.451802 | − | 0.782545i | ||||
\(543\) | 0.389273 | + | 0.674240i | 0.0167053 | + | 0.0289344i | ||||
\(544\) | 0.225020 | + | 0.389745i | 0.00964764 | + | 0.0167102i | ||||
\(545\) | 37.7830 | 1.61845 | ||||||||
\(546\) | −0.115141 | + | 0.419112i | −0.00492756 | + | 0.0179363i | ||||
\(547\) | 37.0545 | 1.58434 | 0.792169 | − | 0.610302i | \(-0.208952\pi\) | ||||
0.792169 | + | 0.610302i | \(0.208952\pi\) | |||||||
\(548\) | −1.26669 | − | 2.19397i | −0.0541102 | − | 0.0937216i | ||||
\(549\) | −9.06241 | − | 15.6966i | −0.386774 | − | 0.669913i | ||||
\(550\) | 0.402827 | − | 0.697718i | 0.0171766 | − | 0.0297508i | ||||
\(551\) | −35.7139 | −1.52146 | ||||||||
\(552\) | −0.370305 | + | 0.641387i | −0.0157612 | + | 0.0272992i | ||||
\(553\) | 12.0867 | − | 20.9348i | 0.513980 | − | 0.890239i | ||||
\(554\) | 19.4631 | 0.826908 | ||||||||
\(555\) | 0.418512 | − | 0.724885i | 0.0177649 | − | 0.0307697i | ||||
\(556\) | −2.41854 | − | 4.18904i | −0.102569 | − | 0.177655i | ||||
\(557\) | 18.0039 | + | 31.1836i | 0.762848 | + | 1.32129i | 0.941377 | + | 0.337357i | \(0.109533\pi\) |
−0.178529 | + | 0.983935i | \(0.557134\pi\) | |||||||
\(558\) | −3.59905 | −0.152360 | ||||||||
\(559\) | 33.3841 | − | 8.71980i | 1.41200 | − | 0.368808i | ||||
\(560\) | −9.99112 | −0.422202 | ||||||||
\(561\) | 0.00626239 | + | 0.0108468i | 0.000264398 | + | 0.000457951i | ||||
\(562\) | −18.2970 | − | 31.6913i | −0.771811 | − | 1.33682i | ||||
\(563\) | 1.67200 | − | 2.89599i | 0.0704664 | − | 0.122051i | −0.828639 | − | 0.559783i | \(-0.810885\pi\) |
0.899106 | + | 0.437731i | \(0.144218\pi\) | |||||||
\(564\) | −0.274604 | −0.0115629 | ||||||||
\(565\) | −13.7349 | + | 23.7896i | −0.577833 | + | 1.00084i | ||||
\(566\) | 8.89637 | − | 15.4090i | 0.373942 | − | 0.647687i | ||||
\(567\) | 14.8648 | 0.624264 | ||||||||
\(568\) | −0.743484 | + | 1.28775i | −0.0311959 | + | 0.0540329i | ||||
\(569\) | 3.02286 | + | 5.23575i | 0.126725 | + | 0.219494i | 0.922406 | − | 0.386222i | \(-0.126220\pi\) |
−0.795681 | + | 0.605716i | \(0.792887\pi\) | |||||||
\(570\) | −0.300045 | − | 0.519693i | −0.0125675 | − | 0.0217676i | ||||
\(571\) | 5.81265 | 0.243252 | 0.121626 | − | 0.992576i | \(-0.461189\pi\) | ||||
0.121626 | + | 0.992576i | \(0.461189\pi\) | |||||||
\(572\) | 1.97949 | + | 2.00463i | 0.0827664 | + | 0.0838178i | ||||
\(573\) | 1.10185 | 0.0460303 | ||||||||
\(574\) | 2.40169 | + | 4.15985i | 0.100245 | + | 0.173629i | ||||
\(575\) | 0.952537 | + | 1.64984i | 0.0397235 | + | 0.0688032i | ||||
\(576\) | 13.2046 | − | 22.8711i | 0.550193 | − | 0.952963i | ||||
\(577\) | −40.5214 | −1.68693 | −0.843464 | − | 0.537185i | \(-0.819488\pi\) | ||||
−0.843464 | + | 0.537185i | \(0.819488\pi\) | |||||||
\(578\) | −10.1967 | + | 17.6612i | −0.424127 | + | 0.734609i | ||||
\(579\) | 0.270150 | − | 0.467913i | 0.0112270 | − | 0.0194458i | ||||
\(580\) | 13.2117 | 0.548586 | ||||||||
\(581\) | 7.02363 | − | 12.1653i | 0.291389 | − | 0.504701i | ||||
\(582\) | 0.326977 | + | 0.566340i | 0.0135536 | + | 0.0234756i | ||||
\(583\) | 7.46113 | + | 12.9231i | 0.309009 | + | 0.535219i | ||||
\(584\) | −5.74310 | −0.237651 | ||||||||
\(585\) | −24.4656 | + | 6.39032i | −1.01153 | + | 0.264207i | ||||
\(586\) | −0.836128 | −0.0345401 | ||||||||
\(587\) | 19.3034 | + | 33.4344i | 0.796735 | + | 1.37999i | 0.921732 | + | 0.387828i | \(0.126775\pi\) |
−0.124997 | + | 0.992157i | \(0.539892\pi\) | |||||||
\(588\) | 0.0717218 | + | 0.124226i | 0.00295776 | + | 0.00512298i | ||||
\(589\) | 1.76285 | − | 3.05335i | 0.0726370 | − | 0.125811i | ||||
\(590\) | 34.5231 | 1.42129 | ||||||||
\(591\) | 0.0260619 | − | 0.0451405i | 0.00107204 | − | 0.00185683i | ||||
\(592\) | 7.60522 | − | 13.1726i | 0.312573 | − | 0.541392i | ||||
\(593\) | −30.5973 | −1.25648 | −0.628241 | − | 0.778019i | \(-0.716225\pi\) | ||||
−0.628241 | + | 0.778019i | \(0.716225\pi\) | |||||||
\(594\) | 0.305713 | − | 0.529511i | 0.0125436 | − | 0.0217261i | ||||
\(595\) | −0.286230 | − | 0.495765i | −0.0117343 | − | 0.0203244i | ||||
\(596\) | 3.34620 | + | 5.79579i | 0.137066 | + | 0.237405i | ||||
\(597\) | −1.14845 | −0.0470028 | ||||||||
\(598\) | 16.6882 | − | 4.35889i | 0.682430 | − | 0.178248i | ||||
\(599\) | 48.8894 | 1.99757 | 0.998783 | − | 0.0493114i | \(-0.0157027\pi\) | ||||
0.998783 | + | 0.0493114i | \(0.0157027\pi\) | |||||||
\(600\) | 0.0444763 | + | 0.0770352i | 0.00181574 | + | 0.00314495i | ||||
\(601\) | −8.53983 | − | 14.7914i | −0.348347 | − | 0.603355i | 0.637609 | − | 0.770360i | \(-0.279924\pi\) |
−0.985956 | + | 0.167005i | \(0.946590\pi\) | |||||||
\(602\) | 9.52748 | − | 16.5021i | 0.388311 | − | 0.672574i | ||||
\(603\) | 21.6328 | 0.880957 | ||||||||
\(604\) | −3.79073 | + | 6.56574i | −0.154243 | + | 0.267156i | ||||
\(605\) | 10.5722 | − | 18.3116i | 0.429822 | − | 0.744473i | ||||
\(606\) | 0.0640082 | 0.00260016 | ||||||||
\(607\) | −6.85414 | + | 11.8717i | −0.278201 | + | 0.481858i | −0.970938 | − | 0.239332i | \(-0.923071\pi\) |
0.692737 | + | 0.721191i | \(0.256405\pi\) | |||||||
\(608\) | 5.37721 | + | 9.31359i | 0.218074 | + | 0.377716i | ||||
\(609\) | −0.508303 | − | 0.880407i | −0.0205975 | − | 0.0356759i | ||||
\(610\) | 17.0061 | 0.688557 | ||||||||
\(611\) | 20.6211 | + | 20.8831i | 0.834242 | + | 0.844839i | ||||
\(612\) | 0.246344 | 0.00995786 | ||||||||
\(613\) | 0.315136 | + | 0.545831i | 0.0127282 | + | 0.0220459i | 0.872319 | − | 0.488937i | \(-0.162615\pi\) |
−0.859591 | + | 0.510982i | \(0.829282\pi\) | |||||||
\(614\) | 15.9753 | + | 27.6700i | 0.644710 | + | 1.11667i | ||||
\(615\) | 0.170916 | − | 0.296035i | 0.00689199 | − | 0.0119373i | ||||
\(616\) | 7.13989 | 0.287674 | ||||||||
\(617\) | 7.47004 | − | 12.9385i | 0.300732 | − | 0.520884i | −0.675570 | − | 0.737296i | \(-0.736102\pi\) |
0.976302 | + | 0.216412i | \(0.0694355\pi\) | |||||||
\(618\) | −0.464011 | + | 0.803690i | −0.0186652 | + | 0.0323292i | ||||
\(619\) | −3.49612 | −0.140521 | −0.0702604 | − | 0.997529i | \(-0.522383\pi\) | ||||
−0.0702604 | + | 0.997529i | \(0.522383\pi\) | |||||||
\(620\) | −0.652134 | + | 1.12953i | −0.0261903 | + | 0.0453630i | ||||
\(621\) | 0.722897 | + | 1.25209i | 0.0290089 | + | 0.0502448i | ||||
\(622\) | −2.28209 | − | 3.95270i | −0.0915036 | − | 0.158489i | ||||
\(623\) | 24.7482 | 0.991517 | ||||||||
\(624\) | 0.543836 | − | 0.142048i | 0.0217709 | − | 0.00568646i | ||||
\(625\) | −27.1629 | −1.08652 | ||||||||
\(626\) | −4.17469 | − | 7.23077i | −0.166854 | − | 0.289000i | ||||
\(627\) | 0.149650 | + | 0.259201i | 0.00597644 | + | 0.0103515i | ||||
\(628\) | −2.37185 | + | 4.10816i | −0.0946470 | + | 0.163933i | ||||
\(629\) | 0.871512 | 0.0347495 | ||||||||
\(630\) | −6.98222 | + | 12.0936i | −0.278178 | + | 0.481819i | ||||
\(631\) | −14.8653 | + | 25.7474i | −0.591778 | + | 1.02499i | 0.402215 | + | 0.915545i | \(0.368240\pi\) |
−0.993993 | + | 0.109444i | \(0.965093\pi\) | |||||||
\(632\) | −44.7915 | −1.78171 | ||||||||
\(633\) | −0.124111 | + | 0.214966i | −0.00493297 | + | 0.00854415i | ||||
\(634\) | −6.05907 | − | 10.4946i | −0.240636 | − | 0.416794i | ||||
\(635\) | 19.5486 | + | 33.8591i | 0.775762 | + | 1.34366i | ||||
\(636\) | −0.359017 | −0.0142360 | ||||||||
\(637\) | 4.06125 | − | 14.7829i | 0.160912 | − | 0.585721i | ||||
\(638\) | 17.0608 | 0.675445 | ||||||||
\(639\) | 0.725259 | + | 1.25619i | 0.0286908 | + | 0.0496939i | ||||
\(640\) | 5.25015 | + | 9.09352i | 0.207530 | + | 0.359453i | ||||
\(641\) | 8.02885 | − | 13.9064i | 0.317121 | − | 0.549269i | −0.662765 | − | 0.748827i | \(-0.730617\pi\) |
0.979886 | + | 0.199558i | \(0.0639507\pi\) | |||||||
\(642\) | −0.182931 | −0.00721972 | ||||||||
\(643\) | 4.66074 | − | 8.07264i | 0.183802 | − | 0.318354i | −0.759370 | − | 0.650659i | \(-0.774493\pi\) |
0.943172 | + | 0.332305i | \(0.107826\pi\) | |||||||
\(644\) | −1.83948 | + | 3.18607i | −0.0724857 | + | 0.125549i | ||||
\(645\) | −1.35604 | −0.0533941 | ||||||||
\(646\) | 0.312408 | − | 0.541106i | 0.0122915 | − | 0.0212895i | ||||
\(647\) | −6.81851 | − | 11.8100i | −0.268063 | − | 0.464299i | 0.700298 | − | 0.713850i | \(-0.253050\pi\) |
−0.968362 | + | 0.249551i | \(0.919717\pi\) | |||||||
\(648\) | −13.7717 | − | 23.8533i | −0.541003 | − | 0.937044i | ||||
\(649\) | −17.2187 | −0.675892 | ||||||||
\(650\) | 0.548792 | − | 1.99760i | 0.0215254 | − | 0.0783525i | ||||
\(651\) | 0.100360 | 0.00393342 | ||||||||
\(652\) | −1.66197 | − | 2.87862i | −0.0650878 | − | 0.112735i | ||||
\(653\) | 4.56646 | + | 7.90935i | 0.178700 | + | 0.309517i | 0.941435 | − | 0.337193i | \(-0.109478\pi\) |
−0.762736 | + | 0.646710i | \(0.776144\pi\) | |||||||
\(654\) | −0.586933 | + | 1.01660i | −0.0229509 | + | 0.0397521i | ||||
\(655\) | 15.6828 | 0.612779 | ||||||||
\(656\) | 3.10589 | − | 5.37956i | 0.121265 | − | 0.210037i | ||||
\(657\) | −2.80116 | + | 4.85176i | −0.109284 | + | 0.189285i | ||||
\(658\) | 16.2078 | 0.631844 | ||||||||
\(659\) | 10.5798 | − | 18.3248i | 0.412132 | − | 0.713833i | −0.582991 | − | 0.812479i | \(-0.698118\pi\) |
0.995123 | + | 0.0986455i | \(0.0314510\pi\) | |||||||
\(660\) | −0.0553603 | − | 0.0958868i | −0.00215490 | − | 0.00373239i | ||||
\(661\) | 3.75419 | + | 6.50245i | 0.146021 | + | 0.252916i | 0.929753 | − | 0.368183i | \(-0.120020\pi\) |
−0.783732 | + | 0.621099i | \(0.786687\pi\) | |||||||
\(662\) | −38.5647 | −1.49886 | ||||||||
\(663\) | 0.0226286 | + | 0.0229160i | 0.000878821 | + | 0.000889984i | ||||
\(664\) | −26.0285 | −1.01010 | ||||||||
\(665\) | −6.83993 | − | 11.8471i | −0.265241 | − | 0.459411i | ||||
\(666\) | −10.6297 | − | 18.4112i | −0.411893 | − | 0.713420i | ||||
\(667\) | −20.1712 | + | 34.9376i | −0.781034 | + | 1.35279i | ||||
\(668\) | 4.18034 | 0.161742 | ||||||||
\(669\) | −0.266057 | + | 0.460825i | −0.0102864 | + | 0.0178165i | ||||
\(670\) | −10.1488 | + | 17.5782i | −0.392082 | + | 0.679107i | ||||
\(671\) | −8.48194 | −0.327441 | ||||||||
\(672\) | −0.153064 | + | 0.265114i | −0.00590456 | + | 0.0102270i | ||||
\(673\) | 22.6402 | + | 39.2140i | 0.872716 | + | 1.51159i | 0.859176 | + | 0.511680i | \(0.170977\pi\) |
0.0135397 | + | 0.999908i | \(0.495690\pi\) | |||||||
\(674\) | 4.51822 | + | 7.82579i | 0.174035 | + | 0.301438i | ||||
\(675\) | 0.173650 | 0.00668381 | ||||||||
\(676\) | 6.22737 | + | 3.70096i | 0.239514 | + | 0.142345i | ||||
\(677\) | 41.1887 | 1.58301 | 0.791505 | − | 0.611163i | \(-0.209298\pi\) | ||||
0.791505 | + | 0.611163i | \(0.209298\pi\) | |||||||
\(678\) | −0.426725 | − | 0.739110i | −0.0163883 | − | 0.0283854i | ||||
\(679\) | 7.45387 | + | 12.9105i | 0.286053 | + | 0.495459i | ||||
\(680\) | −0.530362 | + | 0.918614i | −0.0203384 | + | 0.0352272i | ||||
\(681\) | 0.346046 | 0.0132605 | ||||||||
\(682\) | −0.842129 | + | 1.45861i | −0.0322468 | + | 0.0558531i | ||||
\(683\) | 11.0992 | − | 19.2244i | 0.424699 | − | 0.735600i | −0.571693 | − | 0.820467i | \(-0.693713\pi\) |
0.996392 | + | 0.0848671i | \(0.0270466\pi\) | |||||||
\(684\) | 5.88678 | 0.225087 | ||||||||
\(685\) | 5.32049 | − | 9.21536i | 0.203285 | − | 0.352101i | ||||
\(686\) | −11.2023 | − | 19.4029i | −0.427705 | − | 0.740807i | ||||
\(687\) | 0.565558 | + | 0.979576i | 0.0215774 | + | 0.0373731i | ||||
\(688\) | −24.6421 | −0.939470 | ||||||||
\(689\) | 26.9601 | + | 27.3026i | 1.02710 | + | 1.04015i | ||||
\(690\) | −0.677864 | −0.0258058 | ||||||||
\(691\) | −12.2302 | − | 21.1833i | −0.465259 | − | 0.805852i | 0.533954 | − | 0.845513i | \(-0.320705\pi\) |
−0.999213 | + | 0.0396613i | \(0.987372\pi\) | |||||||
\(692\) | 4.96608 | + | 8.60151i | 0.188782 | + | 0.326980i | ||||
\(693\) | 3.48244 | − | 6.03176i | 0.132287 | − | 0.229128i | ||||
\(694\) | 20.5310 | 0.779344 | ||||||||
\(695\) | 10.1586 | − | 17.5953i | 0.385339 | − | 0.667427i | ||||
\(696\) | −0.941845 | + | 1.63132i | −0.0357006 | + | 0.0618352i | ||||
\(697\) | 0.355916 | 0.0134813 | ||||||||
\(698\) | −9.39051 | + | 16.2648i | −0.355436 | + | 0.615634i | ||||
\(699\) | 0.685290 | + | 1.18696i | 0.0259200 | + | 0.0448948i | ||||
\(700\) | 0.220935 | + | 0.382671i | 0.00835056 | + | 0.0144636i | ||||
\(701\) | −35.3072 | −1.33354 | −0.666768 | − | 0.745265i | \(-0.732323\pi\) | ||||
−0.666768 | + | 0.745265i | \(0.732323\pi\) | |||||||
\(702\) | 0.416488 | − | 1.51602i | 0.0157193 | − | 0.0572184i | ||||
\(703\) | 20.8262 | 0.785474 | ||||||||
\(704\) | −6.17942 | − | 10.7031i | −0.232896 | − | 0.403387i | ||||
\(705\) | −0.576711 | − | 0.998893i | −0.0217202 | − | 0.0376205i | ||||
\(706\) | 9.73638 | − | 16.8639i | 0.366433 | − | 0.634681i | ||||
\(707\) | 1.45915 | 0.0548771 | ||||||||
\(708\) | 0.207133 | − | 0.358766i | 0.00778455 | − | 0.0134832i | ||||
\(709\) | 2.75771 | − | 4.77649i | 0.103568 | − | 0.179385i | −0.809584 | − | 0.587004i | \(-0.800307\pi\) |
0.913152 | + | 0.407619i | \(0.133641\pi\) | |||||||
\(710\) | −1.36099 | −0.0510770 | ||||||||
\(711\) | −21.8468 | + | 37.8397i | −0.819318 | + | 1.41910i | ||||
\(712\) | −22.9283 | − | 39.7129i | −0.859273 | − | 1.48830i | ||||
\(713\) | −1.99132 | − | 3.44907i | −0.0745755 | − | 0.129169i | ||||
\(714\) | 0.0177855 | 0.000665607 | ||||||||
\(715\) | −3.13478 | + | 11.4106i | −0.117234 | + | 0.426732i | ||||
\(716\) | −3.40396 | −0.127212 | ||||||||
\(717\) | 0.507534 | + | 0.879075i | 0.0189542 | + | 0.0328297i | ||||
\(718\) | 2.70249 | + | 4.68084i | 0.100856 | + | 0.174688i | ||||
\(719\) | 21.4617 | − | 37.1728i | 0.800386 | − | 1.38631i | −0.118976 | − | 0.992897i | \(-0.537961\pi\) |
0.919362 | − | 0.393413i | \(-0.128706\pi\) | |||||||
\(720\) | 18.0590 | 0.673018 | ||||||||
\(721\) | −10.5777 | + | 18.3212i | −0.393936 | + | 0.682317i | ||||
\(722\) | −3.94544 | + | 6.83370i | −0.146834 | + | 0.254324i | ||||
\(723\) | 0.0439513 | 0.00163456 | ||||||||
\(724\) | 3.58300 | − | 6.20594i | 0.133161 | − | 0.230642i | ||||
\(725\) | 2.42271 | + | 4.19626i | 0.0899773 | + | 0.155845i | ||||
\(726\) | 0.328464 | + | 0.568917i | 0.0121904 | + | 0.0211145i | ||||
\(727\) | −33.4500 | −1.24059 | −0.620296 | − | 0.784368i | \(-0.712987\pi\) | ||||
−0.620296 | + | 0.784368i | \(0.712987\pi\) | |||||||
\(728\) | 17.7632 | − | 4.63967i | 0.658347 | − | 0.171958i | ||||
\(729\) | −26.8023 | −0.992677 | ||||||||
\(730\) | −2.62827 | − | 4.55230i | −0.0972766 | − | 0.168488i | ||||
\(731\) | −0.705957 | − | 1.22275i | −0.0261108 | − | 0.0452252i | ||||
\(732\) | 0.102034 | − | 0.176728i | 0.00377129 | − | 0.00653206i | ||||
\(733\) | 7.98154 | 0.294805 | 0.147402 | − | 0.989077i | \(-0.452909\pi\) | ||||
0.147402 | + | 0.989077i | \(0.452909\pi\) | |||||||
\(734\) | −0.135875 | + | 0.235343i | −0.00501524 | + | 0.00868665i | ||||
\(735\) | −0.301254 | + | 0.521788i | −0.0111119 | + | 0.0192464i | ||||
\(736\) | 12.1482 | 0.447789 | ||||||||
\(737\) | 5.06180 | − | 8.76729i | 0.186454 | − | 0.322947i | ||||
\(738\) | −4.34106 | − | 7.51893i | −0.159797 | − | 0.276776i | ||||
\(739\) | 7.90558 | + | 13.6929i | 0.290812 | + | 0.503700i | 0.974002 | − | 0.226540i | \(-0.0727414\pi\) |
−0.683190 | + | 0.730240i | \(0.739408\pi\) | |||||||
\(740\) | −7.70427 | −0.283214 | ||||||||
\(741\) | 0.540746 | + | 0.547615i | 0.0198648 | + | 0.0201171i | ||||
\(742\) | 21.1900 | 0.777911 | ||||||||
\(743\) | −15.5203 | − | 26.8819i | −0.569383 | − | 0.986200i | −0.996627 | − | 0.0820637i | \(-0.973849\pi\) |
0.427244 | − | 0.904136i | \(-0.359484\pi\) | |||||||
\(744\) | −0.0929797 | − | 0.161046i | −0.00340880 | − | 0.00590422i | ||||
\(745\) | −14.0551 | + | 24.3442i | −0.514940 | + | 0.891902i | ||||
\(746\) | 4.89227 | 0.179119 | ||||||||
\(747\) | −12.6952 | + | 21.9888i | −0.464494 | + | 0.804528i | ||||
\(748\) | 0.0576412 | − | 0.0998375i | 0.00210757 | − | 0.00365042i | ||||
\(749\) | −4.17016 | −0.152374 | ||||||||
\(750\) | 0.384803 | − | 0.666499i | 0.0140510 | − | 0.0243371i | ||||
\(751\) | −11.7388 | − | 20.3322i | −0.428355 | − | 0.741933i | 0.568372 | − | 0.822772i | \(-0.307573\pi\) |
−0.996727 | + | 0.0808388i | \(0.974240\pi\) | |||||||
\(752\) | −10.4800 | − | 18.1519i | −0.382167 | − | 0.661933i | ||||
\(753\) | −0.0270942 | −0.000987367 | ||||||||
\(754\) | 42.4453 | − | 11.0865i | 1.54577 | − | 0.403748i | ||||
\(755\) | −31.8446 | −1.15894 | ||||||||
\(756\) | 0.167672 | + | 0.290416i | 0.00609816 | + | 0.0105623i | ||||
\(757\) | 15.9702 | + | 27.6611i | 0.580446 | + | 1.00536i | 0.995426 | + | 0.0955312i | \(0.0304550\pi\) |
−0.414981 | + | 0.909830i | \(0.636212\pi\) | |||||||
\(758\) | −8.32813 | + | 14.4247i | −0.302491 | + | 0.523930i | ||||
\(759\) | 0.338090 | 0.0122719 | ||||||||
\(760\) | −12.6738 | + | 21.9518i | −0.459729 | + | 0.796274i | ||||
\(761\) | −13.3828 | + | 23.1797i | −0.485126 | + | 0.840263i | −0.999854 | − | 0.0170906i | \(-0.994560\pi\) |
0.514728 | + | 0.857354i | \(0.327893\pi\) | |||||||
\(762\) | −1.21470 | −0.0440038 | ||||||||
\(763\) | −13.3799 | + | 23.1747i | −0.484385 | + | 0.838980i | ||||
\(764\) | −5.07089 | − | 8.78304i | −0.183458 | − | 0.317759i | ||||
\(765\) | 0.517361 | + | 0.896096i | 0.0187052 | + | 0.0323984i | ||||
\(766\) | 25.6350 | 0.926229 | ||||||||
\(767\) | −42.8380 | + | 11.1891i | −1.54679 | + | 0.404015i | ||||
\(768\) | 0.740970 | 0.0267375 | ||||||||
\(769\) | −3.65769 | − | 6.33530i | −0.131900 | − | 0.228457i | 0.792509 | − | 0.609860i | \(-0.208774\pi\) |
−0.924409 | + | 0.381403i | \(0.875441\pi\) | |||||||
\(770\) | 3.26749 | + | 5.65947i | 0.117752 | + | 0.203953i | ||||
\(771\) | −0.383831 | + | 0.664814i | −0.0138233 | + | 0.0239427i | ||||
\(772\) | −4.97311 | −0.178986 | ||||||||
\(773\) | 8.76052 | − | 15.1737i | 0.315094 | − | 0.545759i | −0.664364 | − | 0.747410i | \(-0.731297\pi\) |
0.979457 | + | 0.201651i | \(0.0646307\pi\) | |||||||
\(774\) | −17.2209 | + | 29.8275i | −0.618994 | + | 1.07213i | ||||
\(775\) | −0.478344 | −0.0171826 | ||||||||
\(776\) | 13.8114 | − | 23.9221i | 0.495802 | − | 0.858754i | ||||
\(777\) | 0.296412 | + | 0.513400i | 0.0106337 | + | 0.0184181i | ||||
\(778\) | −6.39040 | − | 11.0685i | −0.229107 | − | 0.396825i | ||||
\(779\) | 8.50518 | 0.304730 | ||||||||
\(780\) | −0.200039 | − | 0.202580i | −0.00716255 | − | 0.00725353i | ||||
\(781\) | 0.678804 | 0.0242895 | ||||||||
\(782\) | −0.352896 | − | 0.611235i | −0.0126195 | − | 0.0218577i | ||||
\(783\) | 1.83864 | + | 3.18462i | 0.0657077 | + | 0.113809i | ||||
\(784\) | −5.47440 | + | 9.48195i | −0.195514 | + | 0.338641i | ||||
\(785\) | −19.9250 | −0.711155 | ||||||||
\(786\) | −0.243622 | + | 0.421965i | −0.00868970 | + | 0.0150510i | ||||
\(787\) | 3.60005 | − | 6.23547i | 0.128328 | − | 0.222270i | −0.794701 | − | 0.607001i | \(-0.792372\pi\) |
0.923029 | + | 0.384731i | \(0.125706\pi\) | |||||||
\(788\) | −0.479765 | −0.0170909 | ||||||||
\(789\) | −0.263325 | + | 0.456092i | −0.00937461 | + | 0.0162373i | ||||
\(790\) | −20.4983 | − | 35.5042i | −0.729298 | − | 1.26318i | ||||
\(791\) | −9.72778 | − | 16.8490i | −0.345880 | − | 0.599082i | ||||
\(792\) | −12.9054 | −0.458572 | ||||||||
\(793\) | −21.1020 | + | 5.51177i | −0.749355 | + | 0.195729i | ||||
\(794\) | 13.2404 | 0.469885 | ||||||||
\(795\) | −0.753993 | − | 1.30595i | −0.0267414 | − | 0.0463174i | ||||
\(796\) | 5.28535 | + | 9.15449i | 0.187334 | + | 0.324472i | ||||
\(797\) | −3.01534 | + | 5.22272i | −0.106809 | + | 0.184998i | −0.914476 | − | 0.404641i | \(-0.867397\pi\) |
0.807667 | + | 0.589639i | \(0.200730\pi\) | |||||||
\(798\) | 0.425014 | 0.0150453 | ||||||||
\(799\) | 0.600473 | − | 1.04005i | 0.0212432 | − | 0.0367943i | ||||
\(800\) | 0.729545 | − | 1.26361i | 0.0257933 | − | 0.0446753i | ||||
\(801\) | −44.7325 | −1.58054 | ||||||||
\(802\) | −1.27066 | + | 2.20086i | −0.0448687 | + | 0.0777149i | ||||
\(803\) | 1.31087 | + | 2.27049i | 0.0462596 | + | 0.0801240i | ||||
\(804\) | 0.121783 | + | 0.210934i | 0.00429494 | + | 0.00743905i | ||||
\(805\) | −15.4528 | −0.544640 | ||||||||
\(806\) | −1.14727 | + | 4.17608i | −0.0404110 | + | 0.147096i | ||||
\(807\) | 1.46954 | 0.0517303 | ||||||||
\(808\) | −1.35185 | − | 2.34147i | −0.0475578 | − | 0.0823726i | ||||
\(809\) | −23.8352 | − | 41.2837i | −0.838000 | − | 1.45146i | −0.891564 | − | 0.452895i | \(-0.850391\pi\) |
0.0535636 | − | 0.998564i | \(-0.482942\pi\) | |||||||
\(810\) | 12.6049 | − | 21.8324i | 0.442892 | − | 0.767111i | ||||
\(811\) | −53.9710 | −1.89518 | −0.947589 | − | 0.319493i | \(-0.896487\pi\) | ||||
−0.947589 | + | 0.319493i | \(0.896487\pi\) | |||||||
\(812\) | −4.67860 | + | 8.10356i | −0.164187 | + | 0.284379i | ||||
\(813\) | 0.530152 | − | 0.918251i | 0.0185933 | − | 0.0322045i | ||||
\(814\) | −9.94885 | −0.348707 | ||||||||
\(815\) | 6.98081 | − | 12.0911i | 0.244527 | − | 0.423534i | ||||
\(816\) | −0.0115002 | − | 0.0199190i | −0.000402588 | − | 0.000697304i | ||||
\(817\) | −16.8700 | − | 29.2197i | −0.590206 | − | 1.02227i | ||||
\(818\) | 7.88593 | 0.275725 | ||||||||
\(819\) | 4.74430 | − | 17.2693i | 0.165779 | − | 0.603437i | ||||
\(820\) | −3.14634 | −0.109875 | ||||||||
\(821\) | 13.8494 | + | 23.9879i | 0.483348 | + | 0.837184i | 0.999817 | − | 0.0191223i | \(-0.00608720\pi\) |
−0.516469 | + | 0.856306i | \(0.672754\pi\) | |||||||
\(822\) | 0.165300 | + | 0.286308i | 0.00576551 | + | 0.00998615i | ||||
\(823\) | −9.94603 | + | 17.2270i | −0.346697 | + | 0.600496i | −0.985661 | − | 0.168740i | \(-0.946030\pi\) |
0.638964 | + | 0.769237i | \(0.279363\pi\) | |||||||
\(824\) | 39.1994 | 1.36558 | ||||||||
\(825\) | 0.0203035 | − | 0.0351667i | 0.000706878 | − | 0.00122435i | ||||
\(826\) | −12.2255 | + | 21.1752i | −0.425380 | + | 0.736780i | ||||
\(827\) | 18.0723 | 0.628436 | 0.314218 | − | 0.949351i | \(-0.398258\pi\) | ||||
0.314218 | + | 0.949351i | \(0.398258\pi\) | |||||||
\(828\) | 3.32486 | − | 5.75883i | 0.115547 | − | 0.200133i | ||||
\(829\) | 19.4456 | + | 33.6807i | 0.675372 | + | 1.16978i | 0.976360 | + | 0.216151i | \(0.0693502\pi\) |
−0.300988 | + | 0.953628i | \(0.597316\pi\) | |||||||
\(830\) | −11.9117 | − | 20.6316i | −0.413459 | − | 0.716133i | ||||
\(831\) | 0.980991 | 0.0340302 | ||||||||
\(832\) | −22.3288 | − | 22.6124i | −0.774110 | − | 0.783944i | ||||
\(833\) | −0.627333 | −0.0217358 | ||||||||
\(834\) | 0.315615 | + | 0.546661i | 0.0109289 | + | 0.0189293i | ||||
\(835\) | 8.77938 | + | 15.2063i | 0.303823 | + | 0.526237i | ||||
\(836\) | 1.37743 | − | 2.38578i | 0.0476394 | − | 0.0825138i | ||||
\(837\) | −0.363024 | −0.0125479 | ||||||||
\(838\) | −9.89223 | + | 17.1338i | −0.341721 | + | 0.591879i | ||||
\(839\) | 13.4474 | − | 23.2916i | 0.464256 | − | 0.804115i | −0.534912 | − | 0.844908i | \(-0.679655\pi\) |
0.999168 | + | 0.0407930i | \(0.0129884\pi\) | |||||||
\(840\) | −0.721530 | −0.0248951 | ||||||||
\(841\) | −36.8042 | + | 63.7468i | −1.26911 | + | 2.19816i | ||||
\(842\) | 0.688832 | + | 1.19309i | 0.0237387 | + | 0.0411167i | ||||
\(843\) | −0.922214 | − | 1.59732i | −0.0317627 | − | 0.0550146i | ||||
\(844\) | 2.28472 | 0.0786433 | ||||||||
\(845\) | −0.384065 | + | 30.4252i | −0.0132122 | + | 1.04666i | ||||
\(846\) | −29.2955 | −1.00720 | ||||||||
\(847\) | 7.48778 | + | 12.9692i | 0.257283 | + | 0.445628i | ||||
\(848\) | −13.7016 | − | 23.7319i | −0.470515 | − | 0.814955i | ||||
\(849\) | 0.448400 | − | 0.776651i | 0.0153890 | − | 0.0266546i | ||||
\(850\) | −0.0847709 | −0.00290762 | ||||||||
\(851\) | 11.7627 | − | 20.3735i | 0.403219 | − | 0.698395i | ||||
\(852\) | −0.00816573 | + | 0.0141435i | −0.000279753 | + | 0.000484547i | ||||
\(853\) | 49.8820 | 1.70793 | 0.853964 | − | 0.520332i | \(-0.174192\pi\) | ||||
0.853964 | + | 0.520332i | \(0.174192\pi\) | |||||||
\(854\) | −6.02230 | + | 10.4309i | −0.206079 | + | 0.356939i | ||||
\(855\) | 12.3632 | + | 21.4137i | 0.422812 | + | 0.732332i | ||||
\(856\) | 3.86349 | + | 6.69176i | 0.132051 | + | 0.228720i | ||||
\(857\) | 7.54639 | 0.257780 | 0.128890 | − | 0.991659i | \(-0.458859\pi\) | ||||
0.128890 | + | 0.991659i | \(0.458859\pi\) | |||||||
\(858\) | −0.258319 | − | 0.261600i | −0.00881887 | − | 0.00893089i | ||||
\(859\) | −18.4433 | −0.629276 | −0.314638 | − | 0.949212i | \(-0.601883\pi\) | ||||
−0.314638 | + | 0.949212i | \(0.601883\pi\) | |||||||
\(860\) | 6.24074 | + | 10.8093i | 0.212808 | + | 0.368593i | ||||
\(861\) | 0.121051 | + | 0.209667i | 0.00412542 | + | 0.00714543i | ||||
\(862\) | 7.75405 | − | 13.4304i | 0.264104 | − | 0.457442i | ||||
\(863\) | −30.5612 | −1.04032 | −0.520158 | − | 0.854070i | \(-0.674127\pi\) | ||||
−0.520158 | + | 0.854070i | \(0.674127\pi\) | |||||||
\(864\) | 0.553665 | − | 0.958975i | 0.0188361 | − | 0.0326250i | ||||
\(865\) | −20.8591 | + | 36.1291i | −0.709232 | + | 1.22843i | ||||
\(866\) | 44.5238 | 1.51298 | ||||||||
\(867\) | −0.513939 | + | 0.890169i | −0.0174543 | + | 0.0302317i | ||||
\(868\) | −0.461874 | − | 0.799990i | −0.0156770 | − | 0.0271534i | ||||
\(869\) | 10.2237 | + | 17.7080i | 0.346816 | + | 0.600702i | ||||
\(870\) | −1.72410 | −0.0584525 | ||||||||
\(871\) | 6.89594 | − | 25.1012i | 0.233660 | − | 0.850522i | ||||
\(872\) | 49.5838 | 1.67912 | ||||||||
\(873\) | −13.4729 | − | 23.3357i | −0.455988 | − | 0.789795i | ||||
\(874\) | −8.43303 | − | 14.6064i | −0.285251 | − | 0.494070i | ||||
\(875\) | 8.77210 | − | 15.1937i | 0.296551 | − | 0.513642i | ||||
\(876\) | −0.0630769 | −0.00213117 | ||||||||
\(877\) | 1.95916 | − | 3.39336i | 0.0661560 | − | 0.114586i | −0.831050 | − | 0.556197i | \(-0.812260\pi\) |
0.897206 | + | 0.441612i | \(0.145593\pi\) | |||||||
\(878\) | 1.40402 | − | 2.43183i | 0.0473834 | − | 0.0820704i | ||||
\(879\) | −0.0421430 | −0.00142145 | ||||||||
\(880\) | 4.22556 | − | 7.31888i | 0.142444 | − | 0.246719i | ||||
\(881\) | −27.7225 | − | 48.0169i | −0.933996 | − | 1.61773i | −0.776414 | − | 0.630223i | \(-0.782963\pi\) |
−0.157582 | − | 0.987506i | \(-0.550370\pi\) | |||||||
\(882\) | 7.65150 | + | 13.2528i | 0.257639 | + | 0.446244i | ||||
\(883\) | −31.2191 | −1.05061 | −0.525303 | − | 0.850915i | \(-0.676048\pi\) | ||||
−0.525303 | + | 0.850915i | \(0.676048\pi\) | |||||||
\(884\) | 0.0785275 | − | 0.285840i | 0.00264116 | − | 0.00961384i | ||||
\(885\) | 1.74005 | 0.0584912 | ||||||||
\(886\) | −20.2154 | − | 35.0142i | −0.679151 | − | 1.17632i | ||||
\(887\) | −5.58183 | − | 9.66802i | −0.187420 | − | 0.324620i | 0.756970 | − | 0.653450i | \(-0.226679\pi\) |
−0.944389 | + | 0.328830i | \(0.893346\pi\) | |||||||
\(888\) | 0.549228 | − | 0.951290i | 0.0184309 | − | 0.0319232i | ||||
\(889\) | −27.6906 | −0.928713 | ||||||||
\(890\) | 20.9857 | − | 36.3484i | 0.703444 | − | 1.21840i | ||||
\(891\) | −6.28681 | + | 10.8891i | −0.210616 | + | 0.364797i | ||||
\(892\) | 4.89776 | 0.163989 | ||||||||
\(893\) | 14.3493 | − | 24.8537i | 0.480180 | − | 0.831696i | ||||
\(894\) | −0.436673 | − | 0.756340i | −0.0146045 | − | 0.0252958i | ||||
\(895\) | −7.14887 | − | 12.3822i | −0.238960 | − | 0.413891i | ||||
\(896\) | −7.43684 | −0.248447 | ||||||||
\(897\) | 0.841126 | − | 0.219699i | 0.0280844 | − | 0.00733553i | ||||
\(898\) | 30.8187 | 1.02843 | ||||||||
\(899\) | −5.06479 | − | 8.77247i | −0.168920 | − | 0.292578i | ||||
\(900\) | −0.399340 | − | 0.691678i | −0.0133113 | − | 0.0230559i | ||||
\(901\) | 0.785059 | − | 1.35976i | 0.0261541 | − | 0.0453002i | ||||
\(902\) | −4.06300 | −0.135283 | ||||||||
\(903\) | 0.480209 | − | 0.831746i | 0.0159804 | − | 0.0276788i | ||||
\(904\) | −18.0248 | + | 31.2199i | −0.599496 | + | 1.03836i | ||||
\(905\) | 30.0995 | 1.00054 | ||||||||
\(906\) | 0.494684 | − | 0.856817i | 0.0164348 | − | 0.0284658i | ||||
\(907\) | −3.98360 | − | 6.89980i | −0.132273 | − | 0.229104i | 0.792279 | − | 0.610159i | \(-0.208894\pi\) |
−0.924553 | + | 0.381055i | \(0.875561\pi\) | |||||||
\(908\) | −1.59256 | − | 2.75840i | −0.0528511 | − | 0.0915407i | ||||
\(909\) | −2.63742 | −0.0874777 | ||||||||
\(910\) | 11.8068 | + | 11.9568i | 0.391391 | + | 0.396363i | ||||
\(911\) | −10.2908 | −0.340949 | −0.170475 | − | 0.985362i | \(-0.554530\pi\) | ||||
−0.170475 | + | 0.985362i | \(0.554530\pi\) | |||||||
\(912\) | −0.274816 | − | 0.475996i | −0.00910008 | − | 0.0157618i | ||||
\(913\) | 5.94103 | + | 10.2902i | 0.196619 | + | 0.340555i | ||||
\(914\) | −8.19655 | + | 14.1968i | −0.271118 | + | 0.469590i | ||||
\(915\) | 0.857152 | 0.0283366 | ||||||||
\(916\) | 5.20559 | − | 9.01635i | 0.171998 | − | 0.297909i | ||||
\(917\) | −5.55368 | + | 9.61926i | −0.183399 | + | 0.317656i | ||||
\(918\) | −0.0643341 | −0.00212334 | ||||||||
\(919\) | −4.85265 | + | 8.40503i | −0.160074 | + | 0.277257i | −0.934895 | − | 0.354924i | \(-0.884507\pi\) |
0.774821 | + | 0.632181i | \(0.217840\pi\) | |||||||
\(920\) | 14.3164 | + | 24.7968i | 0.471998 | + | 0.817525i | ||||
\(921\) | 0.805195 | + | 1.39464i | 0.0265321 | + | 0.0459549i | ||||
\(922\) | 14.8152 | 0.487911 | ||||||||
\(923\) | 1.68878 | − | 0.441103i | 0.0555869 | − | 0.0145191i | ||||
\(924\) | 0.0784179 | 0.00257976 | ||||||||
\(925\) | −1.41278 | − | 2.44701i | −0.0464519 | − | 0.0804571i | ||||
\(926\) | 10.3356 | + | 17.9018i | 0.339650 | + | 0.588290i | ||||
\(927\) | 19.1193 | − | 33.1156i | 0.627960 | − | 1.08766i | ||||
\(928\) | 30.8982 | 1.01428 | ||||||||
\(929\) | −15.0835 | + | 26.1254i | −0.494874 | + | 0.857147i | −0.999983 | − | 0.00590908i | \(-0.998119\pi\) |
0.505109 | + | 0.863056i | \(0.331452\pi\) | |||||||
\(930\) | 0.0851023 | − | 0.147401i | 0.00279061 | − | 0.00483348i | ||||
\(931\) | −14.9911 | −0.491315 | ||||||||
\(932\) | 6.30765 | − | 10.9252i | 0.206614 | − | 0.357866i | ||||
\(933\) | −0.115023 | − | 0.199226i | −0.00376569 | − | 0.00652237i | ||||
\(934\) | −21.4670 | − | 37.1819i | −0.702421 | − | 1.21663i | ||||
\(935\) | 0.484223 | 0.0158358 | ||||||||
\(936\) | −32.1070 | + | 8.38622i | −1.04945 | + | 0.274112i | ||||
\(937\) | −22.7638 | −0.743662 | −0.371831 | − | 0.928300i | \(-0.621270\pi\) | ||||
−0.371831 | + | 0.928300i | \(0.621270\pi\) | |||||||
\(938\) | −7.18790 | − | 12.4498i | −0.234693 | − | 0.406500i | ||||
\(939\) | −0.210415 | − | 0.364449i | −0.00686663 | − | 0.0118934i | ||||
\(940\) | −5.30825 | + | 9.19416i | −0.173136 | + | 0.299880i | ||||
\(941\) | 23.2269 | 0.757175 | 0.378587 | − | 0.925566i | \(-0.376410\pi\) | ||||
0.378587 | + | 0.925566i | \(0.376410\pi\) | |||||||
\(942\) | 0.309522 | − | 0.536107i | 0.0100848 | − | 0.0174673i | ||||
\(943\) | 4.80374 | − | 8.32032i | 0.156431 | − | 0.270947i | ||||
\(944\) | 31.6203 | 1.02915 | ||||||||
\(945\) | −0.704274 | + | 1.21984i | −0.0229100 | + | 0.0396813i | ||||
\(946\) | 8.05894 | + | 13.9585i | 0.262019 | + | 0.453830i | ||||
\(947\) | −14.9986 | − | 25.9784i | −0.487389 | − | 0.844183i | 0.512506 | − | 0.858684i | \(-0.328717\pi\) |
−0.999895 | + | 0.0145009i | \(0.995384\pi\) | |||||||
\(948\) | −0.491948 | −0.0159777 | ||||||||
\(949\) | 4.73671 | + | 4.79688i | 0.153760 | + | 0.155713i | ||||
\(950\) | −2.02574 | −0.0657236 | ||||||||
\(951\) | −0.305393 | − | 0.528955i | −0.00990303 | − | 0.0171526i | ||||
\(952\) | −0.375629 | − | 0.650609i | −0.0121742 | − | 0.0210863i | ||||
\(953\) | −5.64400 | + | 9.77569i | −0.182827 | + | 0.316666i | −0.942842 | − | 0.333240i | \(-0.891858\pi\) |
0.760015 | + | 0.649905i | \(0.225191\pi\) | |||||||
\(954\) | −38.3010 | −1.24004 | ||||||||
\(955\) | 21.2993 | − | 36.8916i | 0.689231 | − | 1.19378i | ||||
\(956\) | 4.67152 | − | 8.09131i | 0.151088 | − | 0.261692i | ||||
\(957\) | 0.859909 | 0.0277969 | ||||||||
\(958\) | 19.3850 | − | 33.5758i | 0.626301 | − | 1.08478i | ||||
\(959\) | 3.76824 | + | 6.52678i | 0.121683 | + | 0.210761i | ||||
\(960\) | 0.624468 | + | 1.08161i | 0.0201546 | + | 0.0349088i | ||||
\(961\) | 1.00000 | 0.0322581 | ||||||||
\(962\) | −24.7515 | + | 6.46500i | −0.798021 | + | 0.208440i | ||||
\(963\) | 7.53758 | 0.242895 | ||||||||
\(964\) | −0.202271 | − | 0.350344i | −0.00651472 | − | 0.0112838i | ||||
\(965\) | −10.4443 | − | 18.0901i | −0.336214 | − | 0.582341i | ||||
\(966\) | 0.240049 | − | 0.415776i | 0.00772344 | − | 0.0133774i | ||||
\(967\) | 16.5261 | 0.531445 | 0.265722 | − | 0.964050i | \(-0.414390\pi\) | ||||
0.265722 | + | 0.964050i | \(0.414390\pi\) | |||||||
\(968\) | 13.8743 | − | 24.0309i | 0.445936 | − | 0.772383i | ||||
\(969\) | 0.0157461 | − | 0.0272731i | 0.000505839 | − | 0.000876138i | ||||
\(970\) | 25.2826 | 0.811776 | ||||||||
\(971\) | −23.3610 | + | 40.4624i | −0.749690 | + | 1.29850i | 0.198282 | + | 0.980145i | \(0.436464\pi\) |
−0.947971 | + | 0.318356i | \(0.896869\pi\) | |||||||
\(972\) | −0.454693 | − | 0.787551i | −0.0145843 | − | 0.0252607i | ||||
\(973\) | 7.19487 | + | 12.4619i | 0.230657 | + | 0.399509i | ||||
\(974\) | −27.1162 | −0.868859 | ||||||||
\(975\) | 0.0276605 | − | 0.100684i | 0.000885845 | − | 0.00322448i | ||||
\(976\) | 15.5762 | 0.498582 | ||||||||
\(977\) | −17.7141 | − | 30.6816i | −0.566723 | − | 0.981593i | −0.996887 | − | 0.0788422i | \(-0.974878\pi\) |
0.430164 | − | 0.902751i | \(-0.358456\pi\) | |||||||
\(978\) | 0.216884 | + | 0.375654i | 0.00693519 | + | 0.0120121i | ||||
\(979\) | −10.4668 | + | 18.1290i | −0.334521 | + | 0.579407i | ||||
\(980\) | 5.54570 | 0.177151 | ||||||||
\(981\) | 24.1842 | − | 41.8883i | 0.772142 | − | 1.33739i | ||||
\(982\) | 2.88644 | − | 4.99947i | 0.0921101 | − | 0.159539i | ||||
\(983\) | −21.6882 | −0.691746 | −0.345873 | − | 0.938281i | \(-0.612417\pi\) | ||||
−0.345873 | + | 0.938281i | \(0.612417\pi\) | |||||||
\(984\) | 0.224299 | − | 0.388496i | 0.00715038 | − | 0.0123848i | ||||
\(985\) | −1.00758 | − | 1.74518i | −0.0321043 | − | 0.0556062i | ||||
\(986\) | −0.897569 | − | 1.55463i | −0.0285844 | − | 0.0495096i | ||||
\(987\) | 0.816912 | 0.0260026 | ||||||||
\(988\) | 1.87654 | − | 6.83061i | 0.0597007 | − | 0.217311i | ||||
\(989\) | −38.1128 | −1.21192 | ||||||||
\(990\) | −5.90600 | − | 10.2295i | −0.187705 | − | 0.325115i | ||||
\(991\) | −12.0283 | − | 20.8336i | −0.382091 | − | 0.661800i | 0.609270 | − | 0.792963i | \(-0.291462\pi\) |
−0.991361 | + | 0.131162i | \(0.958129\pi\) | |||||||
\(992\) | −1.52515 | + | 2.64163i | −0.0484234 | + | 0.0838718i | ||||
\(993\) | −1.94376 | −0.0616834 | ||||||||
\(994\) | 0.481961 | − | 0.834780i | 0.0152869 | − | 0.0264776i | ||||
\(995\) | −22.2001 | + | 38.4518i | −0.703792 | + | 1.21900i | ||||
\(996\) | −0.285872 | −0.00905821 | ||||||||
\(997\) | −14.1996 | + | 24.5945i | −0.449707 | + | 0.778915i | −0.998367 | − | 0.0571304i | \(-0.981805\pi\) |
0.548660 | + | 0.836046i | \(0.315138\pi\) | |||||||
\(998\) | −16.4321 | − | 28.4612i | −0.520148 | − | 0.900922i | ||||
\(999\) | −1.07218 | − | 1.85708i | −0.0339224 | − | 0.0587554i |
(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 | 403.2.f.b.94.12 | ✓ | 34 | |
13.3 | even | 3 | 5239.2.a.m.1.6 | 17 | |||
13.9 | even | 3 | inner | 403.2.f.b.373.12 | yes | 34 | |
13.10 | even | 6 | 5239.2.a.n.1.12 | 17 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.f.b.94.12 | ✓ | 34 | 1.1 | even | 1 | trivial | |
403.2.f.b.373.12 | yes | 34 | 13.9 | even | 3 | inner | |
5239.2.a.m.1.6 | 17 | 13.3 | even | 3 | |||
5239.2.a.n.1.12 | 17 | 13.10 | even | 6 |