Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(71,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.71");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.o (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 201.1 | ||
Character | \(\chi\) | \(=\) | 370.201 |
Dual form | 370.2.o.c.81.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.939693 | + | 0.342020i | 0.664463 | + | 0.241845i | ||||
\(3\) | −2.67866 | + | 0.974954i | −1.54653 | + | 0.562890i | −0.967600 | − | 0.252489i | \(-0.918751\pi\) |
−0.578927 | + | 0.815379i | \(0.696529\pi\) | |||||||
\(4\) | 0.766044 | + | 0.642788i | 0.383022 | + | 0.321394i | ||||
\(5\) | 0.173648 | − | 0.984808i | 0.0776578 | − | 0.440419i | ||||
\(6\) | −2.85057 | −1.16374 | ||||||||
\(7\) | −0.751904 | + | 4.26426i | −0.284193 | + | 1.61174i | 0.423960 | + | 0.905681i | \(0.360640\pi\) |
−0.708153 | + | 0.706059i | \(0.750472\pi\) | |||||||
\(8\) | 0.500000 | + | 0.866025i | 0.176777 | + | 0.306186i | ||||
\(9\) | 3.92657 | − | 3.29478i | 1.30886 | − | 1.09826i | ||||
\(10\) | 0.500000 | − | 0.866025i | 0.158114 | − | 0.273861i | ||||
\(11\) | −0.207621 | − | 0.359611i | −0.0626002 | − | 0.108427i | 0.833027 | − | 0.553233i | \(-0.186606\pi\) |
−0.895627 | + | 0.444806i | \(0.853273\pi\) | |||||||
\(12\) | −2.67866 | − | 0.974954i | −0.773264 | − | 0.281445i | ||||
\(13\) | −4.59538 | − | 3.85598i | −1.27453 | − | 1.06946i | −0.993974 | − | 0.109618i | \(-0.965037\pi\) |
−0.280554 | − | 0.959838i | \(-0.590518\pi\) | |||||||
\(14\) | −2.16502 | + | 3.74993i | −0.578627 | + | 1.00221i | ||||
\(15\) | 0.494997 | + | 2.80727i | 0.127808 | + | 0.724833i | ||||
\(16\) | 0.173648 | + | 0.984808i | 0.0434120 | + | 0.246202i | ||||
\(17\) | −5.52741 | + | 4.63805i | −1.34059 | + | 1.12489i | −0.359122 | + | 0.933291i | \(0.616924\pi\) |
−0.981473 | + | 0.191602i | \(0.938632\pi\) | |||||||
\(18\) | 4.81665 | − | 1.75312i | 1.13530 | − | 0.413214i | ||||
\(19\) | −5.60681 | + | 2.04071i | −1.28629 | + | 0.468172i | −0.892508 | − | 0.451032i | \(-0.851056\pi\) |
−0.393783 | + | 0.919203i | \(0.628834\pi\) | |||||||
\(20\) | 0.766044 | − | 0.642788i | 0.171293 | − | 0.143732i | ||||
\(21\) | −2.14336 | − | 12.1556i | −0.467719 | − | 2.65257i | ||||
\(22\) | −0.0721061 | − | 0.408934i | −0.0153731 | − | 0.0871850i | ||||
\(23\) | −0.487860 | + | 0.844998i | −0.101726 | + | 0.176194i | −0.912396 | − | 0.409309i | \(-0.865770\pi\) |
0.810670 | + | 0.585503i | \(0.199103\pi\) | |||||||
\(24\) | −2.18367 | − | 1.83231i | −0.445739 | − | 0.374019i | ||||
\(25\) | −0.939693 | − | 0.342020i | −0.187939 | − | 0.0684040i | ||||
\(26\) | −2.99942 | − | 5.19515i | −0.588234 | − | 1.01885i | ||||
\(27\) | −3.02984 | + | 5.24783i | −0.583093 | + | 1.00995i | ||||
\(28\) | −3.31701 | + | 2.78330i | −0.626855 | + | 0.525994i | ||||
\(29\) | 1.94662 | + | 3.37164i | 0.361478 | + | 0.626098i | 0.988204 | − | 0.153141i | \(-0.0489389\pi\) |
−0.626726 | + | 0.779239i | \(0.715606\pi\) | |||||||
\(30\) | −0.494997 | + | 2.80727i | −0.0903737 | + | 0.512535i | ||||
\(31\) | 4.56006 | 0.819012 | 0.409506 | − | 0.912308i | \(-0.365701\pi\) | ||||
0.409506 | + | 0.912308i | \(0.365701\pi\) | |||||||
\(32\) | −0.173648 | + | 0.984808i | −0.0306970 | + | 0.174091i | ||||
\(33\) | 0.906751 | + | 0.760855i | 0.157845 | + | 0.132448i | ||||
\(34\) | −6.78038 | + | 2.46786i | −1.16283 | + | 0.423234i | ||||
\(35\) | 4.06891 | + | 1.48096i | 0.687771 | + | 0.250328i | ||||
\(36\) | 5.12577 | 0.854296 | ||||||||
\(37\) | 5.40971 | − | 2.78119i | 0.889351 | − | 0.457225i | ||||
\(38\) | −5.96665 | −0.967918 | ||||||||
\(39\) | 16.0689 | + | 5.84859i | 2.57308 | + | 0.936524i | ||||
\(40\) | 0.939693 | − | 0.342020i | 0.148578 | − | 0.0540781i | ||||
\(41\) | 3.78411 | + | 3.17525i | 0.590979 | + | 0.495890i | 0.888532 | − | 0.458815i | \(-0.151726\pi\) |
−0.297553 | + | 0.954705i | \(0.596170\pi\) | |||||||
\(42\) | 2.14336 | − | 12.1556i | 0.330727 | − | 1.87565i | ||||
\(43\) | 0.692688 | 0.105634 | 0.0528170 | − | 0.998604i | \(-0.483180\pi\) | ||||
0.0528170 | + | 0.998604i | \(0.483180\pi\) | |||||||
\(44\) | 0.0721061 | − | 0.408934i | 0.0108704 | − | 0.0616491i | ||||
\(45\) | −2.56289 | − | 4.43905i | −0.382053 | − | 0.661735i | ||||
\(46\) | −0.747444 | + | 0.627180i | −0.110205 | + | 0.0924727i | ||||
\(47\) | −0.577895 | + | 1.00094i | −0.0842946 | + | 0.146003i | −0.905090 | − | 0.425219i | \(-0.860197\pi\) |
0.820796 | + | 0.571222i | \(0.193530\pi\) | |||||||
\(48\) | −1.42529 | − | 2.46867i | −0.205722 | − | 0.356322i | ||||
\(49\) | −11.0407 | − | 4.01849i | −1.57725 | − | 0.574070i | ||||
\(50\) | −0.766044 | − | 0.642788i | −0.108335 | − | 0.0909039i | ||||
\(51\) | 10.2842 | − | 17.8128i | 1.44008 | − | 2.49428i | ||||
\(52\) | −1.04169 | − | 5.90770i | −0.144456 | − | 0.819251i | ||||
\(53\) | 1.05353 | + | 5.97484i | 0.144713 | + | 0.820708i | 0.967597 | + | 0.252499i | \(0.0812524\pi\) |
−0.822884 | + | 0.568209i | \(0.807636\pi\) | |||||||
\(54\) | −4.64198 | + | 3.89508i | −0.631694 | + | 0.530054i | ||||
\(55\) | −0.390200 | + | 0.142021i | −0.0526146 | + | 0.0191502i | ||||
\(56\) | −4.06891 | + | 1.48096i | −0.543731 | + | 0.197902i | ||||
\(57\) | 13.0292 | − | 10.9328i | 1.72575 | − | 1.44808i | ||||
\(58\) | 0.676053 | + | 3.83409i | 0.0887702 | + | 0.503441i | ||||
\(59\) | 0.996903 | + | 5.65372i | 0.129786 | + | 0.736051i | 0.978350 | + | 0.206959i | \(0.0663566\pi\) |
−0.848564 | + | 0.529093i | \(0.822532\pi\) | |||||||
\(60\) | −1.42529 | + | 2.46867i | −0.184004 | + | 0.318704i | ||||
\(61\) | −7.62204 | − | 6.39565i | −0.975902 | − | 0.818879i | 0.00756422 | − | 0.999971i | \(-0.497592\pi\) |
−0.983466 | + | 0.181093i | \(0.942037\pi\) | |||||||
\(62\) | 4.28506 | + | 1.55963i | 0.544203 | + | 0.198074i | ||||
\(63\) | 11.0974 | + | 19.2213i | 1.39814 | + | 2.42165i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −4.59538 | + | 3.85598i | −0.569986 | + | 0.478275i | ||||
\(66\) | 0.591840 | + | 1.02510i | 0.0728505 | + | 0.126181i | ||||
\(67\) | −1.91375 | + | 10.8534i | −0.233802 | + | 1.32596i | 0.611320 | + | 0.791384i | \(0.290639\pi\) |
−0.845122 | + | 0.534574i | \(0.820472\pi\) | |||||||
\(68\) | −7.21553 | −0.875011 | ||||||||
\(69\) | 0.482978 | − | 2.73910i | 0.0581437 | − | 0.329749i | ||||
\(70\) | 3.31701 | + | 2.78330i | 0.396458 | + | 0.332668i | ||||
\(71\) | −4.24992 | + | 1.54684i | −0.504373 | + | 0.183577i | −0.581660 | − | 0.813432i | \(-0.697596\pi\) |
0.0772870 | + | 0.997009i | \(0.475374\pi\) | |||||||
\(72\) | 4.81665 | + | 1.75312i | 0.567648 | + | 0.206607i | ||||
\(73\) | 16.3406 | 1.91253 | 0.956264 | − | 0.292506i | \(-0.0944892\pi\) | ||||
0.956264 | + | 0.292506i | \(0.0944892\pi\) | |||||||
\(74\) | 6.03469 | − | 0.763236i | 0.701518 | − | 0.0887244i | ||||
\(75\) | 2.85057 | 0.329156 | ||||||||
\(76\) | −5.60681 | − | 2.04071i | −0.643146 | − | 0.234086i | ||||
\(77\) | 1.68958 | − | 0.614959i | 0.192546 | − | 0.0700810i | ||||
\(78\) | 13.0995 | + | 10.9918i | 1.48322 | + | 1.24457i | ||||
\(79\) | 0.498245 | − | 2.82569i | 0.0560570 | − | 0.317915i | −0.943866 | − | 0.330329i | \(-0.892840\pi\) |
0.999923 | + | 0.0124138i | \(0.00395154\pi\) | |||||||
\(80\) | 1.00000 | 0.111803 | ||||||||
\(81\) | 0.329278 | − | 1.86743i | 0.0365864 | − | 0.207492i | ||||
\(82\) | 2.46990 | + | 4.27800i | 0.272755 | + | 0.472426i | ||||
\(83\) | 9.44869 | − | 7.92839i | 1.03713 | − | 0.870254i | 0.0454468 | − | 0.998967i | \(-0.485529\pi\) |
0.991682 | + | 0.128712i | \(0.0410844\pi\) | |||||||
\(84\) | 6.17156 | − | 10.6894i | 0.673372 | − | 1.16631i | ||||
\(85\) | 3.60776 | + | 6.24883i | 0.391317 | + | 0.677781i | ||||
\(86\) | 0.650914 | + | 0.236913i | 0.0701899 | + | 0.0255470i | ||||
\(87\) | −8.50153 | − | 7.13363i | −0.911460 | − | 0.764806i | ||||
\(88\) | 0.207621 | − | 0.359611i | 0.0221325 | − | 0.0383346i | ||||
\(89\) | 1.83553 | + | 10.4098i | 0.194565 | + | 1.10344i | 0.913036 | + | 0.407878i | \(0.133731\pi\) |
−0.718471 | + | 0.695557i | \(0.755158\pi\) | |||||||
\(90\) | −0.890081 | − | 5.04790i | −0.0938228 | − | 0.532096i | ||||
\(91\) | 19.8982 | − | 16.6966i | 2.08590 | − | 1.75027i | ||||
\(92\) | −0.916876 | + | 0.333716i | −0.0955909 | + | 0.0347923i | ||||
\(93\) | −12.2149 | + | 4.44585i | −1.26662 | + | 0.461013i | ||||
\(94\) | −0.885386 | + | 0.742927i | −0.0913206 | + | 0.0766271i | ||||
\(95\) | 1.03610 | + | 5.87600i | 0.106301 | + | 0.602865i | ||||
\(96\) | −0.494997 | − | 2.80727i | −0.0505204 | − | 0.286516i | ||||
\(97\) | −3.75971 | + | 6.51200i | −0.381740 | + | 0.661193i | −0.991311 | − | 0.131538i | \(-0.958008\pi\) |
0.609571 | + | 0.792732i | \(0.291342\pi\) | |||||||
\(98\) | −9.00047 | − | 7.55229i | −0.909185 | − | 0.762897i | ||||
\(99\) | −2.00008 | − | 0.727969i | −0.201015 | − | 0.0731637i | ||||
\(100\) | −0.500000 | − | 0.866025i | −0.0500000 | − | 0.0866025i | ||||
\(101\) | −1.35568 | + | 2.34811i | −0.134895 | + | 0.233645i | −0.925557 | − | 0.378607i | \(-0.876403\pi\) |
0.790662 | + | 0.612253i | \(0.209736\pi\) | |||||||
\(102\) | 15.7563 | − | 13.2211i | 1.56011 | − | 1.30908i | ||||
\(103\) | 4.34943 | + | 7.53343i | 0.428562 | + | 0.742291i | 0.996746 | − | 0.0806108i | \(-0.0256871\pi\) |
−0.568184 | + | 0.822902i | \(0.692354\pi\) | |||||||
\(104\) | 1.04169 | − | 5.90770i | 0.102146 | − | 0.579298i | ||||
\(105\) | −12.3431 | −1.20456 | ||||||||
\(106\) | −1.05353 | + | 5.97484i | −0.102328 | + | 0.580328i | ||||
\(107\) | −11.0401 | − | 9.26377i | −1.06729 | − | 0.895562i | −0.0724856 | − | 0.997369i | \(-0.523093\pi\) |
−0.994804 | + | 0.101807i | \(0.967538\pi\) | |||||||
\(108\) | −5.69423 | + | 2.07253i | −0.547928 | + | 0.199429i | ||||
\(109\) | 8.50911 | + | 3.09706i | 0.815025 | + | 0.296645i | 0.715698 | − | 0.698410i | \(-0.246109\pi\) |
0.0993269 | + | 0.995055i | \(0.468331\pi\) | |||||||
\(110\) | −0.415243 | −0.0395918 | ||||||||
\(111\) | −11.7793 | + | 12.7241i | −1.11804 | + | 1.20772i | ||||
\(112\) | −4.33004 | −0.409151 | ||||||||
\(113\) | −7.52374 | − | 2.73842i | −0.707774 | − | 0.257609i | −0.0370473 | − | 0.999314i | \(-0.511795\pi\) |
−0.670726 | + | 0.741705i | \(0.734017\pi\) | |||||||
\(114\) | 15.9826 | − | 5.81720i | 1.49691 | − | 0.544831i | ||||
\(115\) | 0.747444 | + | 0.627180i | 0.0696995 | + | 0.0584849i | ||||
\(116\) | −0.676053 | + | 3.83409i | −0.0627700 | + | 0.355986i | ||||
\(117\) | −30.7487 | −2.84272 | ||||||||
\(118\) | −0.996903 | + | 5.65372i | −0.0917724 | + | 0.520467i | ||||
\(119\) | −15.6218 | − | 27.0577i | −1.43205 | − | 2.48038i | ||||
\(120\) | −2.18367 | + | 1.83231i | −0.199341 | + | 0.167267i | ||||
\(121\) | 5.41379 | − | 9.37695i | 0.492162 | − | 0.852450i | ||||
\(122\) | −4.97493 | − | 8.61683i | −0.450409 | − | 0.780131i | ||||
\(123\) | −13.2321 | − | 4.81608i | −1.19310 | − | 0.434252i | ||||
\(124\) | 3.49321 | + | 2.93115i | 0.313700 | + | 0.263225i | ||||
\(125\) | −0.500000 | + | 0.866025i | −0.0447214 | + | 0.0774597i | ||||
\(126\) | 3.85409 | + | 21.8576i | 0.343350 | + | 1.94723i | ||||
\(127\) | 1.09433 | + | 6.20623i | 0.0971057 | + | 0.550714i | 0.994082 | + | 0.108635i | \(0.0346478\pi\) |
−0.896976 | + | 0.442079i | \(0.854241\pi\) | |||||||
\(128\) | −0.766044 | + | 0.642788i | −0.0677094 | + | 0.0568149i | ||||
\(129\) | −1.85548 | + | 0.675339i | −0.163366 | + | 0.0594603i | ||||
\(130\) | −5.63706 | + | 2.05172i | −0.494403 | + | 0.179948i | ||||
\(131\) | −15.0481 | + | 12.6269i | −1.31476 | + | 1.10322i | −0.327374 | + | 0.944895i | \(0.606164\pi\) |
−0.987388 | + | 0.158321i | \(0.949392\pi\) | |||||||
\(132\) | 0.205544 | + | 1.16570i | 0.0178903 | + | 0.101461i | ||||
\(133\) | −4.48635 | − | 25.4433i | −0.389016 | − | 2.20622i | ||||
\(134\) | −5.51043 | + | 9.54435i | −0.476029 | + | 0.824506i | ||||
\(135\) | 4.64198 | + | 3.89508i | 0.399518 | + | 0.335235i | ||||
\(136\) | −6.78038 | − | 2.46786i | −0.581413 | − | 0.211617i | ||||
\(137\) | −4.19202 | − | 7.26080i | −0.358149 | − | 0.620332i | 0.629503 | − | 0.776998i | \(-0.283259\pi\) |
−0.987652 | + | 0.156666i | \(0.949925\pi\) | |||||||
\(138\) | 1.39068 | − | 2.40873i | 0.118383 | − | 0.205045i | ||||
\(139\) | 8.19778 | − | 6.87875i | 0.695326 | − | 0.583448i | −0.225113 | − | 0.974333i | \(-0.572275\pi\) |
0.920440 | + | 0.390885i | \(0.127831\pi\) | |||||||
\(140\) | 2.16502 | + | 3.74993i | 0.182978 | + | 0.316927i | ||||
\(141\) | 0.572112 | − | 3.24461i | 0.0481806 | − | 0.273245i | ||||
\(142\) | −4.52267 | −0.379534 | ||||||||
\(143\) | −0.432553 | + | 2.45313i | −0.0361719 | + | 0.205141i | ||||
\(144\) | 3.92657 | + | 3.29478i | 0.327214 | + | 0.274565i | ||||
\(145\) | 3.65845 | − | 1.33157i | 0.303817 | − | 0.110580i | ||||
\(146\) | 15.3552 | + | 5.58883i | 1.27080 | + | 0.462535i | ||||
\(147\) | 33.4922 | 2.76239 | ||||||||
\(148\) | 5.93179 | + | 1.34678i | 0.487591 | + | 0.110704i | ||||
\(149\) | 2.39548 | 0.196245 | 0.0981226 | − | 0.995174i | \(-0.468716\pi\) | ||||
0.0981226 | + | 0.995174i | \(0.468716\pi\) | |||||||
\(150\) | 2.67866 | + | 0.974954i | 0.218712 | + | 0.0796046i | ||||
\(151\) | −15.3264 | + | 5.57835i | −1.24724 | + | 0.453960i | −0.879470 | − | 0.475955i | \(-0.842103\pi\) |
−0.367775 | + | 0.929915i | \(0.619880\pi\) | |||||||
\(152\) | −4.57072 | − | 3.83529i | −0.370734 | − | 0.311083i | ||||
\(153\) | −6.42240 | + | 36.4233i | −0.519221 | + | 2.94465i | ||||
\(154\) | 1.79802 | 0.144888 | ||||||||
\(155\) | 0.791847 | − | 4.49079i | 0.0636027 | − | 0.360709i | ||||
\(156\) | 8.55007 | + | 14.8091i | 0.684553 | + | 1.18568i | ||||
\(157\) | 12.4302 | − | 10.4302i | 0.992039 | − | 0.832420i | 0.00617765 | − | 0.999981i | \(-0.498034\pi\) |
0.985862 | + | 0.167561i | \(0.0535891\pi\) | |||||||
\(158\) | 1.43464 | − | 2.48487i | 0.114134 | − | 0.197686i | ||||
\(159\) | −8.64724 | − | 14.9775i | −0.685771 | − | 1.18779i | ||||
\(160\) | 0.939693 | + | 0.342020i | 0.0742892 | + | 0.0270391i | ||||
\(161\) | −3.23647 | − | 2.71572i | −0.255069 | − | 0.214029i | ||||
\(162\) | 0.948117 | − | 1.64219i | 0.0744911 | − | 0.129022i | ||||
\(163\) | 0.617888 | + | 3.50422i | 0.0483967 | + | 0.274471i | 0.999397 | − | 0.0347182i | \(-0.0110534\pi\) |
−0.951000 | + | 0.309190i | \(0.899942\pi\) | |||||||
\(164\) | 0.857788 | + | 4.86476i | 0.0669820 | + | 0.379874i | ||||
\(165\) | 0.906751 | − | 0.760855i | 0.0705905 | − | 0.0592325i | ||||
\(166\) | 11.5905 | − | 4.21861i | 0.899600 | − | 0.327428i | ||||
\(167\) | −6.37647 | + | 2.32084i | −0.493426 | + | 0.179592i | −0.576735 | − | 0.816931i | \(-0.695673\pi\) |
0.0833089 | + | 0.996524i | \(0.473451\pi\) | |||||||
\(168\) | 9.45537 | − | 7.93400i | 0.729498 | − | 0.612121i | ||||
\(169\) | 3.99149 | + | 22.6368i | 0.307037 | + | 1.74130i | ||||
\(170\) | 1.25296 | + | 7.10591i | 0.0960979 | + | 0.544998i | ||||
\(171\) | −15.2918 | + | 26.4862i | −1.16940 | + | 2.02545i | ||||
\(172\) | 0.530630 | + | 0.445251i | 0.0404601 | + | 0.0339501i | ||||
\(173\) | −12.5193 | − | 4.55665i | −0.951825 | − | 0.346436i | −0.181000 | − | 0.983483i | \(-0.557933\pi\) |
−0.770825 | + | 0.637047i | \(0.780156\pi\) | |||||||
\(174\) | −5.54898 | − | 9.61112i | −0.420667 | − | 0.728617i | ||||
\(175\) | 2.16502 | − | 3.74993i | 0.163660 | − | 0.283468i | ||||
\(176\) | 0.318094 | − | 0.266913i | 0.0239773 | − | 0.0201193i | ||||
\(177\) | −8.18248 | − | 14.1725i | −0.615033 | − | 1.06527i | ||||
\(178\) | −1.83553 | + | 10.4098i | −0.137579 | + | 0.780247i | ||||
\(179\) | 21.8885 | 1.63602 | 0.818012 | − | 0.575201i | \(-0.195076\pi\) | ||||
0.818012 | + | 0.575201i | \(0.195076\pi\) | |||||||
\(180\) | 0.890081 | − | 5.04790i | 0.0663427 | − | 0.376248i | ||||
\(181\) | 5.66838 | + | 4.75634i | 0.421327 | + | 0.353536i | 0.828668 | − | 0.559741i | \(-0.189099\pi\) |
−0.407340 | + | 0.913276i | \(0.633544\pi\) | |||||||
\(182\) | 24.4087 | − | 8.88405i | 1.80930 | − | 0.658530i | ||||
\(183\) | 26.6523 | + | 9.70066i | 1.97020 | + | 0.717093i | ||||
\(184\) | −0.975719 | −0.0719310 | ||||||||
\(185\) | −1.79955 | − | 5.81047i | −0.132306 | − | 0.427195i | ||||
\(186\) | −12.9988 | −0.953118 | ||||||||
\(187\) | 2.81550 | + | 1.02476i | 0.205890 | + | 0.0749378i | ||||
\(188\) | −1.08609 | + | 0.395303i | −0.0792110 | + | 0.0288305i | ||||
\(189\) | −20.1000 | − | 16.8659i | −1.46206 | − | 1.22681i | ||||
\(190\) | −1.03610 | + | 5.87600i | −0.0751664 | + | 0.426290i | ||||
\(191\) | −8.88596 | −0.642966 | −0.321483 | − | 0.946915i | \(-0.604181\pi\) | ||||
−0.321483 | + | 0.946915i | \(0.604181\pi\) | |||||||
\(192\) | 0.494997 | − | 2.80727i | 0.0357233 | − | 0.202597i | ||||
\(193\) | −4.35202 | − | 7.53791i | −0.313265 | − | 0.542591i | 0.665802 | − | 0.746128i | \(-0.268089\pi\) |
−0.979067 | + | 0.203538i | \(0.934756\pi\) | |||||||
\(194\) | −5.76020 | + | 4.83338i | −0.413558 | + | 0.347017i | ||||
\(195\) | 8.55007 | − | 14.8091i | 0.612283 | − | 1.06051i | ||||
\(196\) | −5.87464 | − | 10.1752i | −0.419617 | − | 0.726799i | ||||
\(197\) | 15.7540 | + | 5.73398i | 1.12242 | + | 0.408529i | 0.835537 | − | 0.549435i | \(-0.185157\pi\) |
0.286888 | + | 0.957964i | \(0.407379\pi\) | |||||||
\(198\) | −1.63048 | − | 1.36813i | −0.115873 | − | 0.0972291i | ||||
\(199\) | 0.621096 | − | 1.07577i | 0.0440283 | − | 0.0762593i | −0.843171 | − | 0.537645i | \(-0.819314\pi\) |
0.887200 | + | 0.461385i | \(0.152647\pi\) | |||||||
\(200\) | −0.173648 | − | 0.984808i | −0.0122788 | − | 0.0696364i | ||||
\(201\) | −5.45529 | − | 30.9385i | −0.384787 | − | 2.18223i | ||||
\(202\) | −2.07702 | + | 1.74283i | −0.146139 | + | 0.122625i | ||||
\(203\) | −15.8412 | + | 5.76574i | −1.11184 | + | 0.404675i | ||||
\(204\) | 19.3280 | − | 7.03481i | 1.35323 | − | 0.492535i | ||||
\(205\) | 3.78411 | − | 3.17525i | 0.264294 | − | 0.221769i | ||||
\(206\) | 1.51054 | + | 8.56670i | 0.105244 | + | 0.596870i | ||||
\(207\) | 0.868469 | + | 4.92533i | 0.0603628 | + | 0.342334i | ||||
\(208\) | 2.99942 | − | 5.19515i | 0.207972 | − | 0.360219i | ||||
\(209\) | 1.89796 | + | 1.59257i | 0.131284 | + | 0.110161i | ||||
\(210\) | −11.5987 | − | 4.22159i | −0.800389 | − | 0.291318i | ||||
\(211\) | −7.71904 | − | 13.3698i | −0.531401 | − | 0.920413i | −0.999328 | − | 0.0366462i | \(-0.988333\pi\) |
0.467928 | − | 0.883767i | \(-0.345001\pi\) | |||||||
\(212\) | −3.03351 | + | 5.25419i | −0.208342 | + | 0.360859i | ||||
\(213\) | 9.87600 | − | 8.28695i | 0.676693 | − | 0.567812i | ||||
\(214\) | −7.20593 | − | 12.4810i | −0.492588 | − | 0.853187i | ||||
\(215\) | 0.120284 | − | 0.682165i | 0.00820330 | − | 0.0465232i | ||||
\(216\) | −6.05968 | −0.412309 | ||||||||
\(217\) | −3.42873 | + | 19.4453i | −0.232757 | + | 1.32003i | ||||
\(218\) | 6.93669 | + | 5.82057i | 0.469812 | + | 0.394219i | ||||
\(219\) | −43.7711 | + | 15.9314i | −2.95778 | + | 1.07654i | ||||
\(220\) | −0.390200 | − | 0.142021i | −0.0263073 | − | 0.00957508i | ||||
\(221\) | 43.2848 | 2.91165 | ||||||||
\(222\) | −15.4208 | + | 7.92800i | −1.03498 | + | 0.532092i | ||||
\(223\) | −5.82315 | −0.389947 | −0.194974 | − | 0.980809i | \(-0.562462\pi\) | ||||
−0.194974 | + | 0.980809i | \(0.562462\pi\) | |||||||
\(224\) | −4.06891 | − | 1.48096i | −0.271866 | − | 0.0989510i | ||||
\(225\) | −4.81665 | + | 1.75312i | −0.321110 | + | 0.116875i | ||||
\(226\) | −6.13341 | − | 5.14654i | −0.407988 | − | 0.342343i | ||||
\(227\) | −2.35039 | + | 13.3297i | −0.156001 | + | 0.884724i | 0.801864 | + | 0.597506i | \(0.203842\pi\) |
−0.957865 | + | 0.287218i | \(0.907270\pi\) | |||||||
\(228\) | 17.0084 | 1.12641 | ||||||||
\(229\) | 2.12525 | − | 12.0529i | 0.140440 | − | 0.796476i | −0.830476 | − | 0.557055i | \(-0.811931\pi\) |
0.970916 | − | 0.239421i | \(-0.0769576\pi\) | |||||||
\(230\) | 0.487860 | + | 0.844998i | 0.0321685 | + | 0.0557175i | ||||
\(231\) | −3.92627 | + | 3.29453i | −0.258330 | + | 0.216764i | ||||
\(232\) | −1.94662 | + | 3.37164i | −0.127802 | + | 0.221359i | ||||
\(233\) | 1.58020 | + | 2.73698i | 0.103522 | + | 0.179306i | 0.913133 | − | 0.407661i | \(-0.133655\pi\) |
−0.809611 | + | 0.586966i | \(0.800322\pi\) | |||||||
\(234\) | −28.8943 | − | 10.5167i | −1.88888 | − | 0.687496i | ||||
\(235\) | 0.885386 | + | 0.742927i | 0.0577562 | + | 0.0484632i | ||||
\(236\) | −2.87047 | + | 4.97180i | −0.186852 | + | 0.323636i | ||||
\(237\) | 1.42028 | + | 8.05484i | 0.0922574 | + | 0.523218i | ||||
\(238\) | −5.42539 | − | 30.7689i | −0.351676 | − | 1.99445i | ||||
\(239\) | −6.70944 | + | 5.62988i | −0.433997 | + | 0.364167i | −0.833458 | − | 0.552584i | \(-0.813642\pi\) |
0.399460 | + | 0.916751i | \(0.369198\pi\) | |||||||
\(240\) | −2.67866 | + | 0.974954i | −0.172907 | + | 0.0629330i | ||||
\(241\) | 1.42330 | − | 0.518039i | 0.0916828 | − | 0.0333698i | −0.295772 | − | 0.955259i | \(-0.595577\pi\) |
0.387454 | + | 0.921889i | \(0.373354\pi\) | |||||||
\(242\) | 8.29440 | − | 6.95983i | 0.533184 | − | 0.447395i | ||||
\(243\) | −2.21812 | − | 12.5796i | −0.142293 | − | 0.806982i | ||||
\(244\) | −1.72778 | − | 9.79870i | −0.110609 | − | 0.627298i | ||||
\(245\) | −5.87464 | + | 10.1752i | −0.375317 | + | 0.650068i | ||||
\(246\) | −10.7869 | − | 9.05127i | −0.687747 | − | 0.577088i | ||||
\(247\) | 33.6344 | + | 12.2419i | 2.14010 | + | 0.778934i | ||||
\(248\) | 2.28003 | + | 3.94913i | 0.144782 | + | 0.250770i | ||||
\(249\) | −17.5801 | + | 30.4495i | −1.11409 | + | 1.92966i | ||||
\(250\) | −0.766044 | + | 0.642788i | −0.0484489 | + | 0.0406535i | ||||
\(251\) | 6.47456 | + | 11.2143i | 0.408671 | + | 0.707838i | 0.994741 | − | 0.102422i | \(-0.0326591\pi\) |
−0.586070 | + | 0.810260i | \(0.699326\pi\) | |||||||
\(252\) | −3.85409 | + | 21.8576i | −0.242785 | + | 1.37690i | ||||
\(253\) | 0.405160 | 0.0254722 | ||||||||
\(254\) | −1.09433 | + | 6.20623i | −0.0686641 | + | 0.389413i | ||||
\(255\) | −15.7563 | − | 13.2211i | −0.986698 | − | 0.827938i | ||||
\(256\) | −0.939693 | + | 0.342020i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | −17.7906 | − | 6.47525i | −1.10975 | − | 0.403915i | −0.278846 | − | 0.960336i | \(-0.589952\pi\) |
−0.830901 | + | 0.556421i | \(0.812174\pi\) | |||||||
\(258\) | −1.97456 | −0.122931 | ||||||||
\(259\) | 7.79215 | + | 25.1596i | 0.484180 | + | 1.56334i | ||||
\(260\) | −5.99884 | −0.372032 | ||||||||
\(261\) | 18.7524 | + | 6.82530i | 1.16074 | + | 0.422476i | ||||
\(262\) | −18.4593 | + | 6.71863i | −1.14042 | + | 0.415078i | ||||
\(263\) | 9.24067 | + | 7.75384i | 0.569804 | + | 0.478123i | 0.881581 | − | 0.472033i | \(-0.156480\pi\) |
−0.311777 | + | 0.950155i | \(0.600924\pi\) | |||||||
\(264\) | −0.205544 | + | 1.16570i | −0.0126503 | + | 0.0717437i | ||||
\(265\) | 6.06702 | 0.372694 | ||||||||
\(266\) | 4.48635 | − | 25.4433i | 0.275076 | − | 1.56003i | ||||
\(267\) | −15.0658 | − | 26.0948i | −0.922013 | − | 1.59697i | ||||
\(268\) | −8.44247 | + | 7.08407i | −0.515706 | + | 0.432729i | ||||
\(269\) | −11.5687 | + | 20.0376i | −0.705356 | + | 1.22171i | 0.261208 | + | 0.965283i | \(0.415879\pi\) |
−0.966563 | + | 0.256429i | \(0.917454\pi\) | |||||||
\(270\) | 3.02984 | + | 5.24783i | 0.184390 | + | 0.319373i | ||||
\(271\) | 4.63746 | + | 1.68790i | 0.281705 | + | 0.102532i | 0.479009 | − | 0.877810i | \(-0.340996\pi\) |
−0.197303 | + | 0.980342i | \(0.563218\pi\) | |||||||
\(272\) | −5.52741 | − | 4.63805i | −0.335149 | − | 0.281223i | ||||
\(273\) | −37.0222 | + | 64.1243i | −2.24068 | + | 3.88098i | ||||
\(274\) | −1.45587 | − | 8.25667i | −0.0879526 | − | 0.498804i | ||||
\(275\) | 0.0721061 | + | 0.408934i | 0.00434816 | + | 0.0246597i | ||||
\(276\) | 2.13065 | − | 1.78782i | 0.128250 | − | 0.107614i | ||||
\(277\) | 4.48396 | − | 1.63203i | 0.269415 | − | 0.0980590i | −0.203780 | − | 0.979017i | \(-0.565323\pi\) |
0.473195 | + | 0.880958i | \(0.343101\pi\) | |||||||
\(278\) | 10.0561 | − | 3.66011i | 0.603122 | − | 0.219519i | ||||
\(279\) | 17.9054 | − | 15.0244i | 1.07197 | − | 0.899489i | ||||
\(280\) | 0.751904 | + | 4.26426i | 0.0449349 | + | 0.254838i | ||||
\(281\) | 2.14496 | + | 12.1647i | 0.127957 | + | 0.725682i | 0.979507 | + | 0.201409i | \(0.0645520\pi\) |
−0.851550 | + | 0.524274i | \(0.824337\pi\) | |||||||
\(282\) | 1.64733 | − | 2.85326i | 0.0980972 | − | 0.169909i | ||||
\(283\) | −19.1375 | − | 16.0583i | −1.13761 | − | 0.954564i | −0.138247 | − | 0.990398i | \(-0.544147\pi\) |
−0.999358 | + | 0.0358337i | \(0.988591\pi\) | |||||||
\(284\) | −4.24992 | − | 1.54684i | −0.252186 | − | 0.0917883i | ||||
\(285\) | −8.50418 | − | 14.7297i | −0.503744 | − | 0.872511i | ||||
\(286\) | −1.24549 | + | 2.15725i | −0.0736472 | + | 0.127561i | ||||
\(287\) | −16.3854 | + | 13.7490i | −0.967198 | + | 0.811575i | ||||
\(288\) | 2.56289 | + | 4.43905i | 0.151020 | + | 0.261574i | ||||
\(289\) | 6.08877 | − | 34.5311i | 0.358163 | − | 2.03124i | ||||
\(290\) | 3.89324 | 0.228619 | ||||||||
\(291\) | 3.72209 | − | 21.1090i | 0.218193 | − | 1.23743i | ||||
\(292\) | 12.5177 | + | 10.5036i | 0.732540 | + | 0.614674i | ||||
\(293\) | 17.1812 | − | 6.25346i | 1.00374 | − | 0.365331i | 0.212714 | − | 0.977115i | \(-0.431770\pi\) |
0.791025 | + | 0.611783i | \(0.209548\pi\) | |||||||
\(294\) | 31.4724 | + | 11.4550i | 1.83551 | + | 0.668070i | ||||
\(295\) | 5.74094 | 0.334250 | ||||||||
\(296\) | 5.11344 | + | 3.29435i | 0.297213 | + | 0.191480i | ||||
\(297\) | 2.51624 | 0.146007 | ||||||||
\(298\) | 2.25101 | + | 0.819301i | 0.130398 | + | 0.0474609i | ||||
\(299\) | 5.50019 | − | 2.00191i | 0.318084 | − | 0.115773i | ||||
\(300\) | 2.18367 | + | 1.83231i | 0.126074 | + | 0.105789i | ||||
\(301\) | −0.520835 | + | 2.95380i | −0.0300204 | + | 0.170254i | ||||
\(302\) | −16.3100 | −0.938536 | ||||||||
\(303\) | 1.34212 | − | 7.61152i | 0.0771025 | − | 0.437270i | ||||
\(304\) | −2.98332 | − | 5.16727i | −0.171105 | − | 0.296363i | ||||
\(305\) | −7.62204 | + | 6.39565i | −0.436437 | + | 0.366214i | ||||
\(306\) | −18.4926 | + | 32.0301i | −1.05715 | + | 1.83104i | ||||
\(307\) | −3.10092 | − | 5.37095i | −0.176979 | − | 0.306536i | 0.763866 | − | 0.645375i | \(-0.223299\pi\) |
−0.940844 | + | 0.338839i | \(0.889966\pi\) | |||||||
\(308\) | 1.68958 | + | 0.614959i | 0.0962730 | + | 0.0350405i | ||||
\(309\) | −18.9954 | − | 15.9390i | −1.08061 | − | 0.906740i | ||||
\(310\) | 2.28003 | − | 3.94913i | 0.129497 | − | 0.224296i | ||||
\(311\) | −3.98359 | − | 22.5921i | −0.225889 | − | 1.28108i | −0.860979 | − | 0.508641i | \(-0.830148\pi\) |
0.635090 | − | 0.772438i | \(-0.280963\pi\) | |||||||
\(312\) | 2.96941 | + | 16.8403i | 0.168110 | + | 0.953397i | ||||
\(313\) | 15.3848 | − | 12.9094i | 0.869602 | − | 0.729683i | −0.0944122 | − | 0.995533i | \(-0.530097\pi\) |
0.964014 | + | 0.265850i | \(0.0856527\pi\) | |||||||
\(314\) | 15.2479 | − | 5.54979i | 0.860490 | − | 0.313193i | ||||
\(315\) | 20.8563 | − | 7.59108i | 1.17512 | − | 0.427709i | ||||
\(316\) | 2.19800 | − | 1.84434i | 0.123647 | − | 0.103752i | ||||
\(317\) | −3.62517 | − | 20.5593i | −0.203610 | − | 1.15473i | −0.899613 | − | 0.436689i | \(-0.856151\pi\) |
0.696003 | − | 0.718039i | \(-0.254960\pi\) | |||||||
\(318\) | −3.00316 | − | 17.0317i | −0.168409 | − | 0.955092i | ||||
\(319\) | 0.808319 | − | 1.40005i | 0.0452572 | − | 0.0783877i | ||||
\(320\) | 0.766044 | + | 0.642788i | 0.0428232 | + | 0.0359329i | ||||
\(321\) | 38.6045 | + | 14.0509i | 2.15470 | + | 0.784245i | ||||
\(322\) | −2.11245 | − | 3.65888i | −0.117722 | − | 0.203901i | ||||
\(323\) | 21.5262 | − | 37.2845i | 1.19775 | − | 2.07457i | ||||
\(324\) | 1.45260 | − | 1.21888i | 0.0807000 | − | 0.0677153i | ||||
\(325\) | 2.99942 | + | 5.19515i | 0.166378 | + | 0.288175i | ||||
\(326\) | −0.617888 | + | 3.50422i | −0.0342216 | + | 0.194081i | ||||
\(327\) | −25.8125 | −1.42744 | ||||||||
\(328\) | −0.857788 | + | 4.86476i | −0.0473634 | + | 0.268611i | ||||
\(329\) | −3.83376 | − | 3.21691i | −0.211362 | − | 0.177354i | ||||
\(330\) | 1.11230 | − | 0.404842i | 0.0612298 | − | 0.0222858i | ||||
\(331\) | −28.5279 | − | 10.3833i | −1.56803 | − | 0.570717i | −0.595474 | − | 0.803374i | \(-0.703036\pi\) |
−0.972559 | + | 0.232657i | \(0.925258\pi\) | |||||||
\(332\) | 12.3344 | 0.676938 | ||||||||
\(333\) | 12.0782 | − | 28.7444i | 0.661880 | − | 1.57518i | ||||
\(334\) | −6.78570 | −0.371297 | ||||||||
\(335\) | 10.3562 | + | 3.76936i | 0.565821 | + | 0.205942i | ||||
\(336\) | 11.5987 | − | 4.22159i | 0.632763 | − | 0.230307i | ||||
\(337\) | 5.44504 | + | 4.56893i | 0.296610 | + | 0.248886i | 0.778932 | − | 0.627109i | \(-0.215762\pi\) |
−0.482321 | + | 0.875994i | \(0.660206\pi\) | |||||||
\(338\) | −3.99149 | + | 22.6368i | −0.217108 | + | 1.23128i | ||||
\(339\) | 22.8234 | 1.23960 | ||||||||
\(340\) | −1.25296 | + | 7.10591i | −0.0679515 | + | 0.385372i | ||||
\(341\) | −0.946766 | − | 1.63985i | −0.0512703 | − | 0.0888027i | ||||
\(342\) | −23.4285 | + | 19.6588i | −1.26687 | + | 1.06303i | ||||
\(343\) | 10.2823 | − | 17.8095i | 0.555192 | − | 0.961621i | ||||
\(344\) | 0.346344 | + | 0.599886i | 0.0186736 | + | 0.0323437i | ||||
\(345\) | −2.61362 | − | 0.951281i | −0.140713 | − | 0.0512153i | ||||
\(346\) | −10.2058 | − | 8.56371i | −0.548669 | − | 0.460388i | ||||
\(347\) | −16.9490 | + | 29.3565i | −0.909869 | + | 1.57594i | −0.0956250 | + | 0.995417i | \(0.530485\pi\) |
−0.814244 | + | 0.580522i | \(0.802848\pi\) | |||||||
\(348\) | −1.92714 | − | 10.9294i | −0.103306 | − | 0.585875i | ||||
\(349\) | 4.51198 | + | 25.5887i | 0.241521 | + | 1.36973i | 0.828436 | + | 0.560084i | \(0.189231\pi\) |
−0.586915 | + | 0.809649i | \(0.699658\pi\) | |||||||
\(350\) | 3.31701 | − | 2.78330i | 0.177301 | − | 0.148774i | ||||
\(351\) | 34.1588 | − | 12.4328i | 1.82326 | − | 0.663613i | ||||
\(352\) | 0.390200 | − | 0.142021i | 0.0207977 | − | 0.00756976i | ||||
\(353\) | −19.5861 | + | 16.4347i | −1.04246 | + | 0.874731i | −0.992281 | − | 0.124009i | \(-0.960425\pi\) |
−0.0501830 | + | 0.998740i | \(0.515980\pi\) | |||||||
\(354\) | −2.84175 | − | 16.1163i | −0.151037 | − | 0.856574i | ||||
\(355\) | 0.785353 | + | 4.45396i | 0.0416822 | + | 0.236392i | ||||
\(356\) | −5.28519 | + | 9.15421i | −0.280114 | + | 0.485172i | ||||
\(357\) | 68.2255 | + | 57.2480i | 3.61088 | + | 3.02988i | ||||
\(358\) | 20.5685 | + | 7.48631i | 1.08708 | + | 0.395664i | ||||
\(359\) | 8.64667 | + | 14.9765i | 0.456354 | + | 0.790428i | 0.998765 | − | 0.0496854i | \(-0.0158219\pi\) |
−0.542411 | + | 0.840113i | \(0.682489\pi\) | |||||||
\(360\) | 2.56289 | − | 4.43905i | 0.135076 | − | 0.233958i | ||||
\(361\) | 12.7170 | − | 10.6708i | 0.669316 | − | 0.561622i | ||||
\(362\) | 3.69977 | + | 6.40819i | 0.194456 | + | 0.336807i | ||||
\(363\) | −5.35962 | + | 30.3959i | −0.281307 | + | 1.59537i | ||||
\(364\) | 25.9752 | 1.36147 | ||||||||
\(365\) | 2.83752 | − | 16.0924i | 0.148523 | − | 0.842314i | ||||
\(366\) | 21.7272 | + | 18.2313i | 1.13570 | + | 0.952964i | ||||
\(367\) | 18.1290 | − | 6.59842i | 0.946327 | − | 0.344435i | 0.177665 | − | 0.984091i | \(-0.443146\pi\) |
0.768661 | + | 0.639656i | \(0.220923\pi\) | |||||||
\(368\) | −0.916876 | − | 0.333716i | −0.0477955 | − | 0.0173961i | ||||
\(369\) | 25.3203 | 1.31812 | ||||||||
\(370\) | 0.296272 | − | 6.07554i | 0.0154024 | − | 0.315852i | ||||
\(371\) | −26.2705 | −1.36389 | ||||||||
\(372\) | −12.2149 | − | 4.44585i | −0.633312 | − | 0.230507i | ||||
\(373\) | −8.88915 | + | 3.23539i | −0.460263 | + | 0.167522i | −0.561736 | − | 0.827316i | \(-0.689866\pi\) |
0.101474 | + | 0.994838i | \(0.467644\pi\) | |||||||
\(374\) | 2.29522 | + | 1.92592i | 0.118683 | + | 0.0995868i | ||||
\(375\) | 0.494997 | − | 2.80727i | 0.0255615 | − | 0.144967i | ||||
\(376\) | −1.15579 | −0.0596053 | ||||||||
\(377\) | 4.05554 | − | 23.0001i | 0.208871 | − | 1.18456i | ||||
\(378\) | −13.1193 | − | 22.7234i | −0.674786 | − | 1.16876i | ||||
\(379\) | 0.823150 | − | 0.690705i | 0.0422824 | − | 0.0354791i | −0.621402 | − | 0.783492i | \(-0.713436\pi\) |
0.663684 | + | 0.748013i | \(0.268992\pi\) | |||||||
\(380\) | −2.98332 | + | 5.16727i | −0.153041 | + | 0.265075i | ||||
\(381\) | −8.98211 | − | 15.5575i | −0.460168 | − | 0.797034i | ||||
\(382\) | −8.35007 | − | 3.03918i | −0.427227 | − | 0.155498i | ||||
\(383\) | 5.35821 | + | 4.49607i | 0.273792 | + | 0.229739i | 0.769336 | − | 0.638844i | \(-0.220587\pi\) |
−0.495545 | + | 0.868583i | \(0.665031\pi\) | |||||||
\(384\) | 1.42529 | − | 2.46867i | 0.0727339 | − | 0.125979i | ||||
\(385\) | −0.312223 | − | 1.77070i | −0.0159123 | − | 0.0902434i | ||||
\(386\) | −1.51144 | − | 8.57180i | −0.0769302 | − | 0.436293i | ||||
\(387\) | 2.71989 | − | 2.28226i | 0.138260 | − | 0.116014i | ||||
\(388\) | −7.06593 | + | 2.57179i | −0.358718 | + | 0.130563i | ||||
\(389\) | −11.5807 | + | 4.21504i | −0.587166 | + | 0.213711i | −0.618483 | − | 0.785798i | \(-0.712252\pi\) |
0.0313164 | + | 0.999510i | \(0.490030\pi\) | |||||||
\(390\) | 13.0995 | − | 10.9918i | 0.663317 | − | 0.556589i | ||||
\(391\) | −1.22254 | − | 6.93337i | −0.0618265 | − | 0.350636i | ||||
\(392\) | −2.04024 | − | 11.5708i | −0.103048 | − | 0.584413i | ||||
\(393\) | 27.9983 | − | 48.4944i | 1.41233 | − | 2.44622i | ||||
\(394\) | 12.8428 | + | 10.7764i | 0.647009 | + | 0.542905i | ||||
\(395\) | −2.69624 | − | 0.981351i | −0.135663 | − | 0.0493771i | ||||
\(396\) | −1.06422 | − | 1.84328i | −0.0534791 | − | 0.0926284i | ||||
\(397\) | 1.37147 | − | 2.37545i | 0.0688320 | − | 0.119220i | −0.829555 | − | 0.558424i | \(-0.811406\pi\) |
0.898387 | + | 0.439204i | \(0.144739\pi\) | |||||||
\(398\) | 0.951574 | − | 0.798466i | 0.0476981 | − | 0.0400235i | ||||
\(399\) | 36.8235 | + | 63.7802i | 1.84348 | + | 3.19300i | ||||
\(400\) | 0.173648 | − | 0.984808i | 0.00868241 | − | 0.0492404i | ||||
\(401\) | 37.0770 | 1.85154 | 0.925768 | − | 0.378092i | \(-0.123420\pi\) | ||||
0.925768 | + | 0.378092i | \(0.123420\pi\) | |||||||
\(402\) | 5.45529 | − | 30.9385i | 0.272085 | − | 1.54307i | ||||
\(403\) | −20.9552 | − | 17.5835i | −1.04385 | − | 0.875897i | ||||
\(404\) | −2.54785 | + | 0.927340i | −0.126760 | + | 0.0461369i | ||||
\(405\) | −1.78188 | − | 0.648550i | −0.0885422 | − | 0.0322267i | ||||
\(406\) | −16.8579 | −0.836643 | ||||||||
\(407\) | −2.12332 | − | 1.36795i | −0.105249 | − | 0.0678070i | ||||
\(408\) | 20.5684 | 1.01829 | ||||||||
\(409\) | −17.5278 | − | 6.37960i | −0.866694 | − | 0.315451i | −0.129866 | − | 0.991532i | \(-0.541455\pi\) |
−0.736828 | + | 0.676081i | \(0.763677\pi\) | |||||||
\(410\) | 4.64190 | − | 1.68951i | 0.229247 | − | 0.0834391i | ||||
\(411\) | 18.3080 | + | 15.3622i | 0.903065 | + | 0.757762i | ||||
\(412\) | −1.51054 | + | 8.56670i | −0.0744190 | + | 0.422051i | ||||
\(413\) | −24.8585 | −1.22321 | ||||||||
\(414\) | −0.868469 | + | 4.92533i | −0.0426829 | + | 0.242067i | ||||
\(415\) | −6.16720 | − | 10.6819i | −0.302736 | − | 0.524354i | ||||
\(416\) | 4.59538 | − | 3.85598i | 0.225307 | − | 0.189055i | ||||
\(417\) | −15.2526 | + | 26.4183i | −0.746924 | + | 1.29371i | ||||
\(418\) | 1.23880 | + | 2.14567i | 0.0605918 | + | 0.104948i | ||||
\(419\) | 13.6430 | + | 4.96564i | 0.666504 | + | 0.242587i | 0.653042 | − | 0.757322i | \(-0.273493\pi\) |
0.0134619 | + | 0.999909i | \(0.495715\pi\) | |||||||
\(420\) | −9.45537 | − | 7.93400i | −0.461375 | − | 0.387140i | ||||
\(421\) | −16.8467 | + | 29.1793i | −0.821058 | + | 1.42211i | 0.0838376 | + | 0.996479i | \(0.473282\pi\) |
−0.904895 | + | 0.425634i | \(0.860051\pi\) | |||||||
\(422\) | −2.68079 | − | 15.2035i | −0.130499 | − | 0.740097i | ||||
\(423\) | 1.02875 | + | 5.83431i | 0.0500194 | + | 0.283674i | ||||
\(424\) | −4.64760 | + | 3.89980i | −0.225708 | + | 0.189391i | ||||
\(425\) | 6.78038 | − | 2.46786i | 0.328897 | − | 0.119709i | ||||
\(426\) | 12.1147 | − | 4.40939i | 0.586960 | − | 0.213636i | ||||
\(427\) | 33.0038 | − | 27.6934i | 1.59716 | − | 1.34018i | ||||
\(428\) | −2.50259 | − | 14.1929i | −0.120967 | − | 0.686041i | ||||
\(429\) | −1.23302 | − | 6.99283i | −0.0595310 | − | 0.337617i | ||||
\(430\) | 0.346344 | − | 0.599886i | 0.0167022 | − | 0.0289290i | ||||
\(431\) | 6.35854 | + | 5.33545i | 0.306280 | + | 0.256999i | 0.782952 | − | 0.622082i | \(-0.213713\pi\) |
−0.476672 | + | 0.879081i | \(0.658157\pi\) | |||||||
\(432\) | −5.69423 | − | 2.07253i | −0.273964 | − | 0.0997147i | ||||
\(433\) | −1.15839 | − | 2.00638i | −0.0556685 | − | 0.0964207i | 0.836848 | − | 0.547435i | \(-0.184396\pi\) |
−0.892517 | + | 0.451014i | \(0.851062\pi\) | |||||||
\(434\) | −9.87264 | + | 17.0999i | −0.473902 | + | 0.820822i | ||||
\(435\) | −8.50153 | + | 7.13363i | −0.407617 | + | 0.342031i | ||||
\(436\) | 4.52760 | + | 7.84204i | 0.216833 | + | 0.375565i | ||||
\(437\) | 1.01094 | − | 5.73332i | 0.0483598 | − | 0.274262i | ||||
\(438\) | −46.5802 | −2.22569 | ||||||||
\(439\) | −2.16184 | + | 12.2604i | −0.103179 | + | 0.585156i | 0.888753 | + | 0.458386i | \(0.151572\pi\) |
−0.991932 | + | 0.126770i | \(0.959539\pi\) | |||||||
\(440\) | −0.318094 | − | 0.266913i | −0.0151645 | − | 0.0127246i | ||||
\(441\) | −56.5922 | + | 20.5979i | −2.69487 | + | 0.980851i | ||||
\(442\) | 40.6744 | + | 14.8043i | 1.93468 | + | 0.704167i | ||||
\(443\) | −5.64535 | −0.268219 | −0.134109 | − | 0.990967i | \(-0.542817\pi\) | ||||
−0.134109 | + | 0.990967i | \(0.542817\pi\) | |||||||
\(444\) | −17.2023 | + | 2.17566i | −0.816386 | + | 0.103252i | ||||
\(445\) | 10.5704 | 0.501084 | ||||||||
\(446\) | −5.47197 | − | 1.99164i | −0.259105 | − | 0.0943067i | ||||
\(447\) | −6.41668 | + | 2.33548i | −0.303498 | + | 0.110464i | ||||
\(448\) | −3.31701 | − | 2.78330i | −0.156714 | − | 0.131499i | ||||
\(449\) | −4.80382 | + | 27.2438i | −0.226706 | + | 1.28572i | 0.632690 | + | 0.774406i | \(0.281951\pi\) |
−0.859396 | + | 0.511311i | \(0.829160\pi\) | |||||||
\(450\) | −5.12577 | −0.241631 | ||||||||
\(451\) | 0.356190 | − | 2.02005i | 0.0167723 | − | 0.0951207i | ||||
\(452\) | −4.00330 | − | 6.93391i | −0.188299 | − | 0.326144i | ||||
\(453\) | 35.6156 | − | 29.8851i | 1.67337 | − | 1.40412i | ||||
\(454\) | −6.76767 | + | 11.7220i | −0.317623 | + | 0.550138i | ||||
\(455\) | −12.9876 | − | 22.4952i | −0.608869 | − | 1.05459i | ||||
\(456\) | 15.9826 | + | 5.81720i | 0.748456 | + | 0.272416i | ||||
\(457\) | 0.429818 | + | 0.360660i | 0.0201060 | + | 0.0168710i | 0.652785 | − | 0.757543i | \(-0.273600\pi\) |
−0.632679 | + | 0.774414i | \(0.718045\pi\) | |||||||
\(458\) | 6.11940 | − | 10.5991i | 0.285941 | − | 0.495264i | ||||
\(459\) | −7.59255 | − | 43.0595i | −0.354390 | − | 2.00984i | ||||
\(460\) | 0.169432 | + | 0.960896i | 0.00789980 | + | 0.0448020i | ||||
\(461\) | 1.95360 | − | 1.63926i | 0.0909880 | − | 0.0763480i | −0.596159 | − | 0.802866i | \(-0.703307\pi\) |
0.687147 | + | 0.726518i | \(0.258863\pi\) | |||||||
\(462\) | −4.81629 | + | 1.75299i | −0.224074 | + | 0.0815563i | ||||
\(463\) | 20.2159 | − | 7.35799i | 0.939513 | − | 0.341955i | 0.173540 | − | 0.984827i | \(-0.444480\pi\) |
0.765974 | + | 0.642872i | \(0.222257\pi\) | |||||||
\(464\) | −2.98239 | + | 2.50252i | −0.138454 | + | 0.116177i | ||||
\(465\) | 2.25722 | + | 12.8013i | 0.104676 | + | 0.593647i | ||||
\(466\) | 0.548797 | + | 3.11238i | 0.0254225 | + | 0.144178i | ||||
\(467\) | −11.8537 | + | 20.5312i | −0.548524 | + | 0.950071i | 0.449852 | + | 0.893103i | \(0.351477\pi\) |
−0.998376 | + | 0.0569678i | \(0.981857\pi\) | |||||||
\(468\) | −23.5549 | − | 19.7649i | −1.08882 | − | 0.913632i | ||||
\(469\) | −44.8429 | − | 16.3215i | −2.07065 | − | 0.753656i | ||||
\(470\) | 0.577895 | + | 1.00094i | 0.0266563 | + | 0.0461701i | ||||
\(471\) | −23.1274 | + | 40.0579i | −1.06566 | + | 1.84577i | ||||
\(472\) | −4.39781 | + | 3.69020i | −0.202426 | + | 0.169855i | ||||
\(473\) | −0.143817 | − | 0.249098i | −0.00661270 | − | 0.0114535i | ||||
\(474\) | −1.42028 | + | 8.05484i | −0.0652358 | + | 0.369971i | ||||
\(475\) | 5.96665 | 0.273768 | ||||||||
\(476\) | 5.42539 | − | 30.7689i | 0.248672 | − | 1.41029i | ||||
\(477\) | 23.8226 | + | 19.9895i | 1.09076 | + | 0.915257i | ||||
\(478\) | −8.23034 | + | 2.99560i | −0.376447 | + | 0.137016i | ||||
\(479\) | −24.4268 | − | 8.89063i | −1.11609 | − | 0.406223i | −0.282866 | − | 0.959159i | \(-0.591285\pi\) |
−0.833224 | + | 0.552936i | \(0.813507\pi\) | |||||||
\(480\) | −2.85057 | −0.130110 | ||||||||
\(481\) | −35.5839 | − | 8.07910i | −1.62249 | − | 0.368375i | ||||
\(482\) | 1.51464 | 0.0689901 | ||||||||
\(483\) | 11.3171 | + | 4.11909i | 0.514946 | + | 0.187425i | ||||
\(484\) | 10.1746 | − | 3.70325i | 0.462481 | − | 0.168329i | ||||
\(485\) | 5.76020 | + | 4.83338i | 0.261557 | + | 0.219473i | ||||
\(486\) | 2.21812 | − | 12.5796i | 0.100616 | − | 0.570623i | ||||
\(487\) | −1.43650 | −0.0650943 | −0.0325471 | − | 0.999470i | \(-0.510362\pi\) | ||||
−0.0325471 | + | 0.999470i | \(0.510362\pi\) | |||||||
\(488\) | 1.72778 | − | 9.79870i | 0.0782127 | − | 0.443566i | ||||
\(489\) | −5.07156 | − | 8.78420i | −0.229344 | − | 0.397235i | ||||
\(490\) | −9.00047 | + | 7.55229i | −0.406600 | + | 0.341178i | ||||
\(491\) | −11.9759 | + | 20.7429i | −0.540467 | + | 0.936116i | 0.458410 | + | 0.888741i | \(0.348419\pi\) |
−0.998877 | + | 0.0473753i | \(0.984914\pi\) | |||||||
\(492\) | −7.04064 | − | 12.1947i | −0.317417 | − | 0.549782i | ||||
\(493\) | −26.3976 | − | 9.60795i | −1.18889 | − | 0.432720i | ||||
\(494\) | 27.4190 | + | 23.0073i | 1.23364 | + | 1.03515i | ||||
\(495\) | −1.06422 | + | 1.84328i | −0.0478331 | + | 0.0828494i | ||||
\(496\) | 0.791847 | + | 4.49079i | 0.0355550 | + | 0.201642i | ||||
\(497\) | −3.40062 | − | 19.2858i | −0.152538 | − | 0.865088i | ||||
\(498\) | −26.9342 | + | 22.6005i | −1.20695 | + | 1.01275i | ||||
\(499\) | 38.7514 | − | 14.1043i | 1.73475 | − | 0.631397i | 0.735799 | − | 0.677200i | \(-0.236807\pi\) |
0.998950 | + | 0.0458035i | \(0.0145848\pi\) | |||||||
\(500\) | −0.939693 | + | 0.342020i | −0.0420243 | + | 0.0152956i | ||||
\(501\) | 14.8177 | − | 12.4335i | 0.662006 | − | 0.555489i | ||||
\(502\) | 2.24859 | + | 12.7524i | 0.100360 | + | 0.569167i | ||||
\(503\) | 4.12000 | + | 23.3657i | 0.183702 | + | 1.04182i | 0.927612 | + | 0.373545i | \(0.121858\pi\) |
−0.743910 | + | 0.668280i | \(0.767031\pi\) | |||||||
\(504\) | −11.0974 | + | 19.2213i | −0.494318 | + | 0.856184i | ||||
\(505\) | 2.07702 | + | 1.74283i | 0.0924263 | + | 0.0775549i | ||||
\(506\) | 0.380726 | + | 0.138573i | 0.0169253 | + | 0.00616032i | ||||
\(507\) | −32.7617 | − | 56.7450i | −1.45500 | − | 2.52013i | ||||
\(508\) | −3.15098 | + | 5.45766i | −0.139802 | + | 0.242145i | ||||
\(509\) | 17.7178 | − | 14.8670i | 0.785329 | − | 0.658969i | −0.159255 | − | 0.987237i | \(-0.550909\pi\) |
0.944585 | + | 0.328268i | \(0.106465\pi\) | |||||||
\(510\) | −10.2842 | − | 17.8128i | −0.455392 | − | 0.788762i | ||||
\(511\) | −12.2866 | + | 69.6808i | −0.543527 | + | 3.08250i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 6.27841 | − | 35.6066i | 0.277199 | − | 1.57207i | ||||
\(514\) | −14.5030 | − | 12.1695i | −0.639701 | − | 0.536773i | ||||
\(515\) | 8.17425 | − | 2.97518i | 0.360200 | − | 0.131102i | ||||
\(516\) | −1.85548 | − | 0.675339i | −0.0816829 | − | 0.0297301i | ||||
\(517\) | 0.479933 | 0.0211074 | ||||||||
\(518\) | −1.28287 | + | 26.3074i | −0.0563661 | + | 1.15588i | ||||
\(519\) | 37.9775 | 1.66703 | ||||||||
\(520\) | −5.63706 | − | 2.05172i | −0.247202 | − | 0.0899740i | ||||
\(521\) | 8.56733 | − | 3.11825i | 0.375341 | − | 0.136613i | −0.147459 | − | 0.989068i | \(-0.547109\pi\) |
0.522800 | + | 0.852455i | \(0.324887\pi\) | |||||||
\(522\) | 15.2871 | + | 12.8274i | 0.669097 | + | 0.561439i | ||||
\(523\) | 2.17413 | − | 12.3301i | 0.0950683 | − | 0.539159i | −0.899658 | − | 0.436595i | \(-0.856184\pi\) |
0.994726 | − | 0.102564i | \(-0.0327046\pi\) | |||||||
\(524\) | −19.6439 | −0.858150 | ||||||||
\(525\) | −2.14336 | + | 12.1556i | −0.0935439 | + | 0.530514i | ||||
\(526\) | 6.03142 | + | 10.4467i | 0.262982 | + | 0.455499i | ||||
\(527\) | −25.2054 | + | 21.1498i | −1.09796 | + | 0.921300i | ||||
\(528\) | −0.591840 | + | 1.02510i | −0.0257565 | + | 0.0446116i | ||||
\(529\) | 11.0240 | + | 19.0941i | 0.479304 | + | 0.830178i | ||||
\(530\) | 5.70113 | + | 2.07504i | 0.247641 | + | 0.0901341i | ||||
\(531\) | 22.5422 | + | 18.9151i | 0.978248 | + | 0.820847i | ||||
\(532\) | 12.9179 | − | 22.3745i | 0.560063 | − | 0.970057i | ||||
\(533\) | −5.14573 | − | 29.1829i | −0.222886 | − | 1.26405i | ||||
\(534\) | −5.23230 | − | 29.6739i | −0.226424 | − | 1.28411i | ||||
\(535\) | −11.0401 | + | 9.26377i | −0.477306 | + | 0.400508i | ||||
\(536\) | −10.3562 | + | 3.76936i | −0.447321 | + | 0.162811i | ||||
\(537\) | −58.6319 | + | 21.3403i | −2.53015 | + | 0.920901i | ||||
\(538\) | −17.7243 | + | 14.8724i | −0.764147 | + | 0.641196i | ||||
\(539\) | 0.847195 | + | 4.80468i | 0.0364913 | + | 0.206952i | ||||
\(540\) | 1.05225 | + | 5.96762i | 0.0452817 | + | 0.256805i | ||||
\(541\) | −11.1639 | + | 19.3365i | −0.479975 | + | 0.831342i | −0.999736 | − | 0.0229702i | \(-0.992688\pi\) |
0.519761 | + | 0.854312i | \(0.326021\pi\) | |||||||
\(542\) | 3.78049 | + | 3.17221i | 0.162386 | + | 0.136258i | ||||
\(543\) | −19.8209 | − | 7.21421i | −0.850596 | − | 0.309592i | ||||
\(544\) | −3.60776 | − | 6.24883i | −0.154682 | − | 0.267916i | ||||
\(545\) | 4.52760 | − | 7.84204i | 0.193941 | − | 0.335916i | ||||
\(546\) | −56.7213 | + | 47.5948i | −2.42745 | + | 2.03687i | ||||
\(547\) | −22.8839 | − | 39.6360i | −0.978443 | − | 1.69471i | −0.668070 | − | 0.744098i | \(-0.732880\pi\) |
−0.310373 | − | 0.950615i | \(-0.600454\pi\) | |||||||
\(548\) | 1.45587 | − | 8.25667i | 0.0621919 | − | 0.352708i | ||||
\(549\) | −51.0007 | −2.17666 | ||||||||
\(550\) | −0.0721061 | + | 0.408934i | −0.00307462 | + | 0.0174370i | ||||
\(551\) | −17.7949 | − | 14.9317i | −0.758087 | − | 0.636111i | ||||
\(552\) | 2.61362 | − | 0.951281i | 0.111243 | − | 0.0404892i | ||||
\(553\) | 11.6748 | + | 4.24930i | 0.496465 | + | 0.180698i | ||||
\(554\) | 4.77173 | 0.202731 | ||||||||
\(555\) | 10.4853 | + | 13.8098i | 0.445078 | + | 0.586194i | ||||
\(556\) | 10.7014 | 0.453842 | ||||||||
\(557\) | −2.11989 | − | 0.771576i | −0.0898225 | − | 0.0326927i | 0.296718 | − | 0.954965i | \(-0.404108\pi\) |
−0.386541 | + | 0.922272i | \(0.626330\pi\) | |||||||
\(558\) | 21.9642 | − | 7.99433i | 0.929820 | − | 0.338427i | ||||
\(559\) | −3.18316 | − | 2.67099i | −0.134633 | − | 0.112971i | ||||
\(560\) | −0.751904 | + | 4.26426i | −0.0317738 | + | 0.180198i | ||||
\(561\) | −8.54087 | −0.360596 | ||||||||
\(562\) | −2.14496 | + | 12.1647i | −0.0904795 | + | 0.513135i | ||||
\(563\) | −0.633638 | − | 1.09749i | −0.0267047 | − | 0.0462538i | 0.852364 | − | 0.522949i | \(-0.175168\pi\) |
−0.879069 | + | 0.476695i | \(0.841835\pi\) | |||||||
\(564\) | 2.52386 | − | 2.11777i | 0.106274 | − | 0.0891742i | ||||
\(565\) | −4.00330 | + | 6.93391i | −0.168420 | + | 0.291712i | ||||
\(566\) | −12.4911 | − | 21.6352i | −0.525040 | − | 0.909396i | ||||
\(567\) | 7.71561 | + | 2.80825i | 0.324025 | + | 0.117935i | ||||
\(568\) | −3.46457 | − | 2.90712i | −0.145370 | − | 0.121980i | ||||
\(569\) | −6.58762 | + | 11.4101i | −0.276167 | + | 0.478336i | −0.970429 | − | 0.241387i | \(-0.922398\pi\) |
0.694262 | + | 0.719723i | \(0.255731\pi\) | |||||||
\(570\) | −2.95347 | − | 16.7500i | −0.123707 | − | 0.701579i | ||||
\(571\) | −1.36567 | − | 7.74512i | −0.0571516 | − | 0.324123i | 0.942806 | − | 0.333342i | \(-0.108176\pi\) |
−0.999958 | + | 0.00921931i | \(0.997065\pi\) | |||||||
\(572\) | −1.90820 | + | 1.60117i | −0.0797857 | + | 0.0669481i | ||||
\(573\) | 23.8025 | − | 8.66340i | 0.994364 | − | 0.361919i | ||||
\(574\) | −20.0996 | + | 7.31567i | −0.838942 | + | 0.305350i | ||||
\(575\) | 0.747444 | − | 0.627180i | 0.0311706 | − | 0.0261552i | ||||
\(576\) | 0.890081 | + | 5.04790i | 0.0370867 | + | 0.210329i | ||||
\(577\) | −5.92489 | − | 33.6017i | −0.246656 | − | 1.39886i | −0.816614 | − | 0.577184i | \(-0.804152\pi\) |
0.569958 | − | 0.821674i | \(-0.306960\pi\) | |||||||
\(578\) | 17.5319 | − | 30.3662i | 0.729231 | − | 1.26307i | ||||
\(579\) | 19.0067 | + | 15.9485i | 0.789891 | + | 0.662798i | ||||
\(580\) | 3.65845 | + | 1.33157i | 0.151909 | + | 0.0552902i | ||||
\(581\) | 26.7042 | + | 46.2531i | 1.10788 | + | 1.91890i | ||||
\(582\) | 10.7173 | − | 18.5629i | 0.444247 | − | 0.769459i | ||||
\(583\) | 1.92988 | − | 1.61936i | 0.0799276 | − | 0.0670672i | ||||
\(584\) | 8.17032 | + | 14.1514i | 0.338090 | + | 0.585589i | ||||
\(585\) | −5.33945 | + | 30.2815i | −0.220759 | + | 1.25199i | ||||
\(586\) | 18.2839 | 0.755301 | ||||||||
\(587\) | 3.63042 | − | 20.5892i | 0.149844 | − | 0.849806i | −0.813506 | − | 0.581557i | \(-0.802444\pi\) |
0.963350 | − | 0.268249i | \(-0.0864450\pi\) | |||||||
\(588\) | 25.6565 | + | 21.5284i | 1.05806 | + | 0.887815i | ||||
\(589\) | −25.5674 | + | 9.30578i | −1.05349 | + | 0.383438i | ||||
\(590\) | 5.39472 | + | 1.96352i | 0.222097 | + | 0.0808367i | ||||
\(591\) | −47.7900 | −1.96582 | ||||||||
\(592\) | 3.67833 | + | 4.84458i | 0.151178 | + | 0.199111i | ||||
\(593\) | 22.1062 | 0.907792 | 0.453896 | − | 0.891055i | \(-0.350034\pi\) | ||||
0.453896 | + | 0.891055i | \(0.350034\pi\) | |||||||
\(594\) | 2.36449 | + | 0.860603i | 0.0970161 | + | 0.0353110i | ||||
\(595\) | −29.3593 | + | 10.6859i | −1.20362 | + | 0.438080i | ||||
\(596\) | 1.83504 | + | 1.53978i | 0.0751662 | + | 0.0630720i | ||||
\(597\) | −0.614881 | + | 3.48716i | −0.0251654 | + | 0.142720i | ||||
\(598\) | 5.85318 | 0.239354 | ||||||||
\(599\) | 6.37428 | − | 36.1503i | 0.260446 | − | 1.47706i | −0.521251 | − | 0.853403i | \(-0.674534\pi\) |
0.781697 | − | 0.623659i | \(-0.214354\pi\) | |||||||
\(600\) | 1.42529 | + | 2.46867i | 0.0581871 | + | 0.100783i | ||||
\(601\) | 23.9202 | − | 20.0714i | 0.975726 | − | 0.818731i | −0.00771340 | − | 0.999970i | \(-0.502455\pi\) |
0.983439 | + | 0.181239i | \(0.0580108\pi\) | |||||||
\(602\) | −1.49969 | + | 2.59753i | −0.0611226 | + | 0.105867i | ||||
\(603\) | 28.2452 | + | 48.9222i | 1.15023 | + | 1.99226i | ||||
\(604\) | −15.3264 | − | 5.57835i | −0.623622 | − | 0.226980i | ||||
\(605\) | −8.29440 | − | 6.95983i | −0.337215 | − | 0.282957i | ||||
\(606\) | 3.86447 | − | 6.69345i | 0.156983 | − | 0.271903i | ||||
\(607\) | 4.03076 | + | 22.8596i | 0.163603 | + | 0.927841i | 0.950493 | + | 0.310747i | \(0.100579\pi\) |
−0.786889 | + | 0.617094i | \(0.788310\pi\) | |||||||
\(608\) | −1.03610 | − | 5.87600i | −0.0420193 | − | 0.238303i | ||||
\(609\) | 36.8120 | − | 30.8889i | 1.49170 | − | 1.25168i | ||||
\(610\) | −9.34981 | + | 3.40305i | −0.378563 | + | 0.137786i | ||||
\(611\) | 6.51526 | − | 2.37136i | 0.263579 | − | 0.0959350i | ||||
\(612\) | −28.3323 | + | 23.7736i | −1.14526 | + | 0.960991i | ||||
\(613\) | −2.11466 | − | 11.9928i | −0.0854103 | − | 0.484386i | −0.997267 | − | 0.0738778i | \(-0.976463\pi\) |
0.911857 | − | 0.410508i | \(-0.134649\pi\) | |||||||
\(614\) | −1.07694 | − | 6.10761i | −0.0434617 | − | 0.246483i | ||||
\(615\) | −7.04064 | + | 12.1947i | −0.283906 | + | 0.491740i | ||||
\(616\) | 1.37736 | + | 1.15574i | 0.0554955 | + | 0.0465663i | ||||
\(617\) | 3.39967 | + | 1.23738i | 0.136866 | + | 0.0498150i | 0.409545 | − | 0.912290i | \(-0.365688\pi\) |
−0.272679 | + | 0.962105i | \(0.587910\pi\) | |||||||
\(618\) | −12.3984 | − | 21.4746i | −0.498735 | − | 0.863835i | ||||
\(619\) | 17.1879 | − | 29.7704i | 0.690842 | − | 1.19657i | −0.280721 | − | 0.959790i | \(-0.590573\pi\) |
0.971562 | − | 0.236784i | \(-0.0760932\pi\) | |||||||
\(620\) | 3.49321 | − | 2.93115i | 0.140291 | − | 0.117718i | ||||
\(621\) | −2.95627 | − | 5.12041i | −0.118631 | − | 0.205475i | ||||
\(622\) | 3.98359 | − | 22.5921i | 0.159728 | − | 0.905860i | ||||
\(623\) | −45.7702 | −1.83374 | ||||||||
\(624\) | −2.96941 | + | 16.8403i | −0.118871 | + | 0.674153i | ||||
\(625\) | 0.766044 | + | 0.642788i | 0.0306418 | + | 0.0257115i | ||||
\(626\) | 18.8723 | − | 6.86895i | 0.754288 | − | 0.274539i | ||||
\(627\) | −6.63667 | − | 2.41555i | −0.265043 | − | 0.0964678i | ||||
\(628\) | 16.2265 | 0.647508 | ||||||||
\(629\) | −17.0024 | + | 40.4633i | −0.677930 | + | 1.61338i | ||||
\(630\) | 22.1948 | 0.884263 | ||||||||
\(631\) | 12.6329 | + | 4.59798i | 0.502906 | + | 0.183043i | 0.581001 | − | 0.813903i | \(-0.302661\pi\) |
−0.0780946 | + | 0.996946i | \(0.524884\pi\) | |||||||
\(632\) | 2.69624 | − | 0.981351i | 0.107251 | − | 0.0390361i | ||||
\(633\) | 33.7116 | + | 28.2874i | 1.33992 | + | 1.12432i | ||||
\(634\) | 3.62517 | − | 20.5593i | 0.143974 | − | 0.816516i | ||||
\(635\) | 6.30197 | 0.250086 | ||||||||
\(636\) | 3.00316 | − | 17.0317i | 0.119083 | − | 0.675352i | ||||
\(637\) | 35.2410 | + | 61.0393i | 1.39630 | + | 2.41846i | ||||
\(638\) | 1.23842 | − | 1.03915i | 0.0490294 | − | 0.0411405i | ||||
\(639\) | −11.5911 | + | 20.0764i | −0.458536 | + | 0.794208i | ||||
\(640\) | 0.500000 | + | 0.866025i | 0.0197642 | + | 0.0342327i | ||||
\(641\) | 25.4108 | + | 9.24876i | 1.00366 | + | 0.365304i | 0.790997 | − | 0.611821i | \(-0.209563\pi\) |
0.212668 | + | 0.977125i | \(0.431785\pi\) | |||||||
\(642\) | 31.4707 | + | 26.4071i | 1.24205 | + | 1.04220i | ||||
\(643\) | 8.05719 | − | 13.9555i | 0.317744 | − | 0.550349i | −0.662273 | − | 0.749263i | \(-0.730408\pi\) |
0.980017 | + | 0.198913i | \(0.0637413\pi\) | |||||||
\(644\) | −0.733647 | − | 4.16072i | −0.0289098 | − | 0.163955i | ||||
\(645\) | 0.342879 | + | 1.94456i | 0.0135008 | + | 0.0765670i | ||||
\(646\) | 32.9801 | − | 27.6736i | 1.29759 | − | 1.08880i | ||||
\(647\) | 0.303500 | − | 0.110465i | 0.0119318 | − | 0.00434283i | −0.336047 | − | 0.941845i | \(-0.609090\pi\) |
0.347979 | + | 0.937502i | \(0.386868\pi\) | |||||||
\(648\) | 1.78188 | − | 0.648550i | 0.0699988 | − | 0.0254775i | ||||
\(649\) | 1.82616 | − | 1.53233i | 0.0716830 | − | 0.0601492i | ||||
\(650\) | 1.04169 | + | 5.90770i | 0.0408583 | + | 0.231719i | ||||
\(651\) | −9.77385 | − | 55.4303i | −0.383067 | − | 2.17248i | ||||
\(652\) | −1.77914 | + | 3.08156i | −0.0696764 | + | 0.120683i | ||||
\(653\) | 6.22427 | + | 5.22278i | 0.243574 | + | 0.204383i | 0.756400 | − | 0.654110i | \(-0.226957\pi\) |
−0.512825 | + | 0.858493i | \(0.671401\pi\) | |||||||
\(654\) | −24.2558 | − | 8.82841i | −0.948479 | − | 0.345218i | ||||
\(655\) | 9.82197 | + | 17.0122i | 0.383776 | + | 0.664720i | ||||
\(656\) | −2.46990 | + | 4.27800i | −0.0964335 | + | 0.167028i | ||||
\(657\) | 64.1627 | − | 53.8389i | 2.50322 | − | 2.10045i | ||||
\(658\) | −2.50231 | − | 4.33413i | −0.0975502 | − | 0.168962i | ||||
\(659\) | 5.51578 | − | 31.2816i | 0.214864 | − | 1.21856i | −0.666277 | − | 0.745704i | \(-0.732113\pi\) |
0.881142 | − | 0.472852i | \(-0.156776\pi\) | |||||||
\(660\) | 1.18368 | 0.0460747 | ||||||||
\(661\) | −5.10127 | + | 28.9307i | −0.198416 | + | 1.12527i | 0.709053 | + | 0.705155i | \(0.249123\pi\) |
−0.907469 | + | 0.420119i | \(0.861988\pi\) | |||||||
\(662\) | −23.2561 | − | 19.5142i | −0.903875 | − | 0.758441i | ||||
\(663\) | −115.945 | + | 42.2007i | −4.50294 | + | 1.63894i | ||||
\(664\) | 11.5905 | + | 4.21861i | 0.449800 | + | 0.163714i | ||||
\(665\) | −25.8358 | −1.00187 | ||||||||
\(666\) | 21.1809 | − | 22.8799i | 0.820744 | − | 0.886578i | ||||
\(667\) | −3.79871 | −0.147086 | ||||||||
\(668\) | −6.37647 | − | 2.32084i | −0.246713 | − | 0.0897962i | ||||
\(669\) | 15.5983 | − | 5.67730i | 0.603064 | − | 0.219497i | ||||
\(670\) | 8.44247 | + | 7.08407i | 0.326161 | + | 0.273682i | ||||
\(671\) | −0.717446 | + | 4.06884i | −0.0276967 | + | 0.157076i | ||||
\(672\) | 12.3431 | 0.476146 | ||||||||
\(673\) | 5.12970 | − | 29.0920i | 0.197735 | − | 1.12141i | −0.710734 | − | 0.703461i | \(-0.751637\pi\) |
0.908469 | − | 0.417952i | \(-0.137252\pi\) | |||||||
\(674\) | 3.55400 | + | 6.15571i | 0.136895 | + | 0.237109i | ||||
\(675\) | 4.64198 | − | 3.89508i | 0.178670 | − | 0.149922i | ||||
\(676\) | −11.4930 | + | 19.9065i | −0.442040 | + | 0.765635i | ||||
\(677\) | 5.84387 | + | 10.1219i | 0.224598 | + | 0.389015i | 0.956199 | − | 0.292718i | \(-0.0945597\pi\) |
−0.731601 | + | 0.681733i | \(0.761226\pi\) | |||||||
\(678\) | 21.4470 | + | 7.80606i | 0.823666 | + | 0.299790i | ||||
\(679\) | −24.9419 | − | 20.9288i | −0.957184 | − | 0.803172i | ||||
\(680\) | −3.60776 | + | 6.24883i | −0.138351 | + | 0.239632i | ||||
\(681\) | −6.69996 | − | 37.9973i | −0.256743 | − | 1.45606i | ||||
\(682\) | −0.328808 | − | 1.86477i | −0.0125907 | − | 0.0714056i | ||||
\(683\) | 12.2739 | − | 10.2990i | 0.469647 | − | 0.394081i | −0.377019 | − | 0.926206i | \(-0.623051\pi\) |
0.846666 | + | 0.532125i | \(0.178606\pi\) | |||||||
\(684\) | −28.7393 | + | 10.4602i | −1.09887 | + | 0.399957i | ||||
\(685\) | −7.87843 | + | 2.86751i | −0.301019 | + | 0.109562i | ||||
\(686\) | 15.7534 | − | 13.2187i | 0.601468 | − | 0.504692i | ||||
\(687\) | 6.05817 | + | 34.3576i | 0.231134 | + | 1.31082i | ||||
\(688\) | 0.120284 | + | 0.682165i | 0.00458579 | + | 0.0260073i | ||||
\(689\) | 18.1975 | − | 31.5190i | 0.693270 | − | 1.20078i | ||||
\(690\) | −2.13065 | − | 1.78782i | −0.0811123 | − | 0.0680613i | ||||
\(691\) | 7.66236 | + | 2.78887i | 0.291490 | + | 0.106094i | 0.483626 | − | 0.875275i | \(-0.339319\pi\) |
−0.192136 | + | 0.981368i | \(0.561542\pi\) | |||||||
\(692\) | −6.66138 | − | 11.5379i | −0.253228 | − | 0.438603i | ||||
\(693\) | 4.60812 | − | 7.98150i | 0.175048 | − | 0.303192i | ||||
\(694\) | −25.9674 | + | 21.7892i | −0.985707 | + | 0.827107i | ||||
\(695\) | −5.35072 | − | 9.26772i | −0.202964 | − | 0.351545i | ||||
\(696\) | 1.92714 | − | 10.9294i | 0.0730481 | − | 0.414276i | ||||
\(697\) | −35.6433 | −1.35009 | ||||||||
\(698\) | −4.51198 | + | 25.5887i | −0.170781 | + | 0.968547i | ||||
\(699\) | −6.90125 | − | 5.79083i | −0.261029 | − | 0.219029i | ||||
\(700\) | 4.06891 | − | 1.48096i | 0.153790 | − | 0.0559751i | ||||
\(701\) | 8.32397 | + | 3.02968i | 0.314392 | + | 0.114429i | 0.494397 | − | 0.869236i | \(-0.335389\pi\) |
−0.180005 | + | 0.983666i | \(0.557611\pi\) | |||||||
\(702\) | 36.3510 | 1.37198 | ||||||||
\(703\) | −24.6556 | + | 26.6333i | −0.929904 | + | 1.00449i | ||||
\(704\) | 0.415243 | 0.0156500 | ||||||||
\(705\) | −3.09597 | − | 1.12684i | −0.116601 | − | 0.0424393i | ||||
\(706\) | −24.0259 | + | 8.74473i | −0.904228 | + | 0.329112i | ||||
\(707\) | −8.99360 | − | 7.54653i | −0.338239 | − | 0.283816i | ||||
\(708\) | 2.84175 | − | 16.1163i | 0.106799 | − | 0.605689i | ||||
\(709\) | 22.3893 | 0.840849 | 0.420425 | − | 0.907327i | \(-0.361881\pi\) | ||||
0.420425 | + | 0.907327i | \(0.361881\pi\) | |||||||
\(710\) | −0.785353 | + | 4.45396i | −0.0294738 | + | 0.167154i | ||||
\(711\) | −7.35364 | − | 12.7369i | −0.275783 | − | 0.477670i | ||||
\(712\) | −8.09738 | + | 6.79451i | −0.303462 | + | 0.254635i | ||||
\(713\) | −2.22467 | + | 3.85324i | −0.0833146 | + | 0.144305i | ||||
\(714\) | 44.5310 | + | 77.1300i | 1.66653 | + | 2.88652i | ||||
\(715\) | 2.34075 | + | 0.851963i | 0.0875390 | + | 0.0318616i | ||||
\(716\) | 16.7676 | + | 14.0697i | 0.626633 | + | 0.525808i | ||||
\(717\) | 12.4834 | − | 21.6220i | 0.466203 | − | 0.807487i | ||||
\(718\) | 3.00296 | + | 17.0306i | 0.112069 | + | 0.635577i | ||||
\(719\) | −3.55936 | − | 20.1862i | −0.132742 | − | 0.752817i | −0.976406 | − | 0.215945i | \(-0.930717\pi\) |
0.843664 | − | 0.536872i | \(-0.180394\pi\) | |||||||
\(720\) | 3.92657 | − | 3.29478i | 0.146335 | − | 0.122789i | ||||
\(721\) | −35.3949 | + | 12.8827i | −1.31817 | + | 0.479776i | ||||
\(722\) | 15.5997 | − | 5.67783i | 0.580561 | − | 0.211307i | ||||
\(723\) | −3.30748 | + | 2.77530i | −0.123006 | + | 0.103215i | ||||
\(724\) | 1.28492 | + | 7.28713i | 0.0477536 | + | 0.270824i | ||||
\(725\) | −0.676053 | − | 3.83409i | −0.0251080 | − | 0.142395i | ||||
\(726\) | −15.4324 | + | 26.7297i | −0.572750 | + | 0.992032i | ||||
\(727\) | 25.9100 | + | 21.7411i | 0.960950 | + | 0.806333i | 0.981107 | − | 0.193464i | \(-0.0619723\pi\) |
−0.0201575 | + | 0.999797i | \(0.506417\pi\) | |||||||
\(728\) | 24.4087 | + | 8.88405i | 0.904648 | + | 0.329265i | ||||
\(729\) | 21.0505 | + | 36.4605i | 0.779648 | + | 1.35039i | ||||
\(730\) | 8.17032 | − | 14.1514i | 0.302397 | − | 0.523767i | ||||
\(731\) | −3.82877 | + | 3.21272i | −0.141612 | + | 0.118827i | ||||
\(732\) | 14.1814 | + | 24.5629i | 0.524160 | + | 0.907872i | ||||
\(733\) | −5.85562 | + | 33.2089i | −0.216282 | + | 1.22660i | 0.662386 | + | 0.749163i | \(0.269544\pi\) |
−0.878668 | + | 0.477434i | \(0.841567\pi\) | |||||||
\(734\) | 19.2925 | 0.712099 | ||||||||
\(735\) | 5.81586 | − | 32.9834i | 0.214521 | − | 1.21661i | ||||
\(736\) | −0.747444 | − | 0.627180i | −0.0275512 | − | 0.0231182i | ||||
\(737\) | 4.30035 | − | 1.56520i | 0.158405 | − | 0.0576548i | ||||
\(738\) | 23.7933 | + | 8.66006i | 0.875844 | + | 0.318781i | ||||
\(739\) | −36.6499 | −1.34819 | −0.674093 | − | 0.738646i | \(-0.735465\pi\) | ||||
−0.674093 | + | 0.738646i | \(0.735465\pi\) | |||||||
\(740\) | 2.35636 | − | 5.60781i | 0.0866216 | − | 0.206147i | ||||
\(741\) | −102.030 | −3.74818 | ||||||||
\(742\) | −24.6861 | − | 8.98502i | −0.906257 | − | 0.329851i | ||||
\(743\) | 11.0083 | − | 4.00670i | 0.403856 | − | 0.146992i | −0.132102 | − | 0.991236i | \(-0.542173\pi\) |
0.535958 | + | 0.844245i | \(0.319950\pi\) | |||||||
\(744\) | −9.95766 | − | 8.35547i | −0.365065 | − | 0.306326i | ||||
\(745\) | 0.415970 | − | 2.35908i | 0.0152400 | − | 0.0864302i | ||||
\(746\) | −9.45963 | −0.346342 | ||||||||
\(747\) | 10.9786 | − | 62.2628i | 0.401686 | − | 2.27808i | ||||
\(748\) | 1.49810 | + | 2.59478i | 0.0547758 | + | 0.0948745i | ||||
\(749\) | 47.8043 | − | 40.1125i | 1.74673 | − | 1.46568i | ||||
\(750\) | 1.42529 | − | 2.46867i | 0.0520441 | − | 0.0901431i | ||||
\(751\) | −1.96003 | − | 3.39487i | −0.0715225 | − | 0.123881i | 0.828046 | − | 0.560660i | \(-0.189452\pi\) |
−0.899569 | + | 0.436779i | \(0.856119\pi\) | |||||||
\(752\) | −1.08609 | − | 0.395303i | −0.0396055 | − | 0.0144152i | ||||
\(753\) | −28.2766 | − | 23.7269i | −1.03046 | − | 0.864655i | ||||
\(754\) | 11.6774 | − | 20.2259i | 0.425268 | − | 0.736585i | ||||
\(755\) | 2.83220 | + | 16.0622i | 0.103074 | + | 0.584564i | ||||
\(756\) | −4.55630 | − | 25.8400i | −0.165711 | − | 0.939793i | ||||
\(757\) | −36.6972 | + | 30.7926i | −1.33378 | + | 1.11918i | −0.350607 | + | 0.936523i | \(0.614025\pi\) |
−0.983177 | + | 0.182655i | \(0.941531\pi\) | |||||||
\(758\) | 1.00974 | − | 0.367516i | 0.0366755 | − | 0.0133488i | ||||
\(759\) | −1.08529 | + | 0.395012i | −0.0393934 | + | 0.0143380i | ||||
\(760\) | −4.57072 | + | 3.83529i | −0.165797 | + | 0.139120i | ||||
\(761\) | −2.97826 | − | 16.8906i | −0.107962 | − | 0.612283i | −0.989996 | − | 0.141097i | \(-0.954937\pi\) |
0.882034 | − | 0.471186i | \(-0.156174\pi\) | |||||||
\(762\) | −3.11946 | − | 17.6913i | −0.113006 | − | 0.640889i | ||||
\(763\) | −19.6047 | + | 33.9564i | −0.709738 | + | 1.22930i | ||||
\(764\) | −6.80704 | − | 5.71179i | −0.246270 | − | 0.206645i | ||||
\(765\) | 34.7547 | + | 12.6497i | 1.25656 | + | 0.457350i | ||||
\(766\) | 3.49732 | + | 6.05754i | 0.126363 | + | 0.218868i | ||||
\(767\) | 17.2195 | − | 29.8250i | 0.621759 | − | 1.07692i | ||||
\(768\) | 2.18367 | − | 1.83231i | 0.0787963 | − | 0.0661179i | ||||
\(769\) | −3.79804 | − | 6.57839i | −0.136961 | − | 0.237223i | 0.789384 | − | 0.613900i | \(-0.210400\pi\) |
−0.926345 | + | 0.376677i | \(0.877067\pi\) | |||||||
\(770\) | 0.312223 | − | 1.77070i | 0.0112517 | − | 0.0638117i | ||||
\(771\) | 53.9681 | 1.94361 | ||||||||
\(772\) | 1.51144 | − | 8.57180i | 0.0543979 | − | 0.308506i | ||||
\(773\) | 7.26311 | + | 6.09447i | 0.261236 | + | 0.219203i | 0.763993 | − | 0.645225i | \(-0.223236\pi\) |
−0.502757 | + | 0.864428i | \(0.667681\pi\) | |||||||
\(774\) | 3.33644 | − | 1.21436i | 0.119926 | − | 0.0436494i | ||||
\(775\) | −4.28506 | − | 1.55963i | −0.153924 | − | 0.0560237i | ||||
\(776\) | −7.51941 | −0.269931 | ||||||||
\(777\) | −45.4020 | − | 59.7971i | −1.62879 | − | 2.14521i | ||||
\(778\) | −12.3240 | −0.441835 | ||||||||
\(779\) | −27.6966 | − | 10.0807i | −0.992332 | − | 0.361179i | ||||
\(780\) | 16.0689 | − | 5.84859i | 0.575358 | − | 0.209413i | ||||
\(781\) | 1.43864 | + | 1.20716i | 0.0514784 | + | 0.0431955i | ||||
\(782\) | 1.22254 | − | 6.93337i | 0.0437179 | − | 0.247937i | ||||
\(783\) | −23.5918 | −0.843100 | ||||||||
\(784\) | 2.04024 | − | 11.5708i | 0.0728658 | − | 0.413242i | ||||
\(785\) | −8.11325 | − | 14.0526i | −0.289574 | − | 0.501557i | ||||
\(786\) | 42.8958 | − | 35.9939i | 1.53004 | − | 1.28386i | ||||
\(787\) | −9.53091 | + | 16.5080i | −0.339740 | + | 0.588447i | −0.984384 | − | 0.176036i | \(-0.943672\pi\) |
0.644644 | + | 0.764483i | \(0.277006\pi\) | |||||||
\(788\) | 8.38252 | + | 14.5190i | 0.298615 | + | 0.517216i | ||||
\(789\) | −32.3123 | − | 11.7607i | −1.15035 | − | 0.418692i | ||||
\(790\) | −2.19800 | − | 1.84434i | −0.0782012 | − | 0.0656186i | ||||
\(791\) | 17.3345 | − | 30.0241i | 0.616342 | − | 1.06754i | ||||
\(792\) | −0.369600 | − | 2.09610i | −0.0131332 | − | 0.0744818i | ||||
\(793\) | 10.3646 | + | 58.7808i | 0.368059 | + | 2.08737i | ||||
\(794\) | 2.10121 | − | 1.76312i | 0.0745691 | − | 0.0625709i | ||||
\(795\) | −16.2515 | + | 5.91506i | −0.576381 | + | 0.209786i | ||||
\(796\) | 1.16728 | − | 0.424855i | 0.0413731 | − | 0.0150586i | ||||
\(797\) | −23.6632 | + | 19.8558i | −0.838192 | + | 0.703327i | −0.957156 | − | 0.289572i | \(-0.906487\pi\) |
0.118964 | + | 0.992899i | \(0.462043\pi\) | |||||||
\(798\) | 12.7887 | + | 72.5281i | 0.452714 | + | 2.56747i | ||||
\(799\) | −1.44816 | − | 8.21293i | −0.0512323 | − | 0.290553i | ||||
\(800\) | 0.500000 | − | 0.866025i | 0.0176777 | − | 0.0306186i | ||||
\(801\) | 41.5053 | + | 34.8271i | 1.46652 | + | 1.23056i | ||||
\(802\) | 34.8410 | + | 12.6811i | 1.23028 | + | 0.447784i | ||||
\(803\) | −3.39266 | − | 5.87627i | −0.119725 | − | 0.207369i | ||||
\(804\) | 15.7079 | − | 27.2069i | 0.553975 | − | 0.959512i | ||||
\(805\) | −3.23647 | + | 2.71572i | −0.114070 | + | 0.0957165i | ||||
\(806\) | −13.6775 | − | 23.6902i | −0.481771 | − | 0.834451i | ||||
\(807\) | 11.4529 | − | 64.9528i | 0.403162 | − | 2.28645i | ||||
\(808\) | −2.71136 | −0.0953853 | ||||||||
\(809\) | −4.13278 | + | 23.4381i | −0.145301 | + | 0.824041i | 0.821824 | + | 0.569741i | \(0.192956\pi\) |
−0.967125 | + | 0.254301i | \(0.918155\pi\) | |||||||
\(810\) | −1.45260 | − | 1.21888i | −0.0510392 | − | 0.0428269i | ||||
\(811\) | −4.14482 | + | 1.50859i | −0.145544 | + | 0.0529737i | −0.413765 | − | 0.910384i | \(-0.635787\pi\) |
0.268221 | + | 0.963357i | \(0.413564\pi\) | |||||||
\(812\) | −15.8412 | − | 5.76574i | −0.555918 | − | 0.202338i | ||||
\(813\) | −14.0678 | −0.493380 | ||||||||
\(814\) | −1.52740 | − | 2.01167i | −0.0535353 | − | 0.0705091i | ||||
\(815\) | 3.55827 | 0.124641 | ||||||||
\(816\) | 19.3280 | + | 7.03481i | 0.676614 | + | 0.246267i | ||||
\(817\) | −3.88377 | + | 1.41358i | −0.135876 | + | 0.0494548i | ||||
\(818\) | −14.2888 | − | 11.9897i | −0.499596 | − | 0.419211i | ||||
\(819\) | 23.1201 | − | 131.120i | 0.807881 | − | 4.58172i | ||||
\(820\) | 4.93981 | 0.172505 | ||||||||
\(821\) | −7.64972 | + | 43.3837i | −0.266977 | + | 1.51410i | 0.496368 | + | 0.868112i | \(0.334667\pi\) |
−0.763345 | + | 0.645991i | \(0.776445\pi\) | |||||||
\(822\) | 11.9497 | + | 20.6974i | 0.416793 | + | 0.721906i | ||||
\(823\) | 14.8299 | − | 12.4438i | 0.516938 | − | 0.433763i | −0.346624 | − | 0.938004i | \(-0.612672\pi\) |
0.863563 | + | 0.504241i | \(0.168228\pi\) | |||||||
\(824\) | −4.34943 | + | 7.53343i | −0.151519 | + | 0.262439i | ||||
\(825\) | −0.591840 | − | 1.02510i | −0.0206052 | − | 0.0356893i | ||||
\(826\) | −23.3594 | − | 8.50211i | −0.812776 | − | 0.295826i | ||||
\(827\) | −12.4996 | − | 10.4884i | −0.434653 | − | 0.364717i | 0.399051 | − | 0.916929i | \(-0.369340\pi\) |
−0.833704 | + | 0.552212i | \(0.813784\pi\) | |||||||
\(828\) | −2.50066 | + | 4.33127i | −0.0869039 | + | 0.150522i | ||||
\(829\) | 8.27040 | + | 46.9038i | 0.287243 | + | 1.62903i | 0.697163 | + | 0.716913i | \(0.254446\pi\) |
−0.409920 | + | 0.912122i | \(0.634443\pi\) | |||||||
\(830\) | −2.14184 | − | 12.1470i | −0.0743445 | − | 0.421629i | ||||
\(831\) | −10.4199 | + | 8.74331i | −0.361461 | + | 0.303302i | ||||
\(832\) | 5.63706 | − | 2.05172i | 0.195430 | − | 0.0711307i | ||||
\(833\) | 79.6646 | − | 28.9955i | 2.76021 | − | 1.00464i | ||||
\(834\) | −23.3684 | + | 19.6084i | −0.809180 | + | 0.678983i | ||||
\(835\) | 1.17832 | + | 6.68261i | 0.0407776 | + | 0.231261i | ||||
\(836\) | 0.430232 | + | 2.43996i | 0.0148799 | + | 0.0843879i | ||||
\(837\) | −13.8163 | + | 23.9304i | −0.477560 | + | 0.827157i | ||||
\(838\) | 11.1219 | + | 9.33235i | 0.384199 | + | 0.322381i | ||||
\(839\) | 24.5574 | + | 8.93817i | 0.847816 | + | 0.308580i | 0.729150 | − | 0.684354i | \(-0.239916\pi\) |
0.118667 | + | 0.992934i | \(0.462138\pi\) | |||||||
\(840\) | −6.17156 | − | 10.6894i | −0.212939 | − | 0.368821i | ||||
\(841\) | 6.92135 | − | 11.9881i | 0.238667 | − | 0.413384i | ||||
\(842\) | −25.8106 | + | 21.6577i | −0.889493 | + | 0.746373i | ||||
\(843\) | −17.6056 | − | 30.4938i | −0.606369 | − | 1.05026i | ||||
\(844\) | 2.68079 | − | 15.2035i | 0.0922768 | − | 0.523327i | ||||
\(845\) | 22.9861 | 0.790744 | ||||||||
\(846\) | −1.02875 | + | 5.83431i | −0.0353690 | + | 0.200588i | ||||
\(847\) | 35.9151 | + | 30.1364i | 1.23406 | + | 1.03550i | ||||
\(848\) | −5.70113 | + | 2.07504i | −0.195778 | + | 0.0712572i | ||||
\(849\) | 66.9189 | + | 24.3565i | 2.29665 | + | 0.835913i | ||||
\(850\) | 7.21553 | 0.247491 | ||||||||
\(851\) | −0.289078 | + | 5.92802i | −0.00990947 | + | 0.203210i | ||||
\(852\) | 12.8922 | 0.441680 | ||||||||
\(853\) | 4.36230 | + | 1.58775i | 0.149362 | + | 0.0543634i | 0.415619 | − | 0.909539i | \(-0.363565\pi\) |
−0.266257 | + | 0.963902i | \(0.585787\pi\) | |||||||
\(854\) | 40.4851 | − | 14.7354i | 1.38537 | − | 0.504234i | ||||
\(855\) | 23.4285 | + | 19.6588i | 0.801236 | + | 0.672317i | ||||
\(856\) | 2.50259 | − | 14.1929i | 0.0855369 | − | 0.485104i | ||||
\(857\) | 45.8476 | 1.56613 | 0.783063 | − | 0.621942i | \(-0.213656\pi\) | ||||
0.783063 | + | 0.621942i | \(0.213656\pi\) | |||||||
\(858\) | 1.23302 | − | 6.99283i | 0.0420947 | − | 0.238731i | ||||
\(859\) | −5.22042 | − | 9.04204i | −0.178119 | − | 0.308510i | 0.763118 | − | 0.646260i | \(-0.223668\pi\) |
−0.941236 | + | 0.337749i | \(0.890334\pi\) | |||||||
\(860\) | 0.530630 | − | 0.445251i | 0.0180943 | − | 0.0151829i | ||||
\(861\) | 30.4863 | − | 52.8038i | 1.03897 | − | 1.79955i | ||||
\(862\) | 4.15024 | + | 7.18843i | 0.141358 | + | 0.244839i | ||||
\(863\) | 21.0403 | + | 7.65803i | 0.716219 | + | 0.260682i | 0.674320 | − | 0.738439i | \(-0.264437\pi\) |
0.0418993 | + | 0.999122i | \(0.486659\pi\) | |||||||
\(864\) | −4.64198 | − | 3.89508i | −0.157923 | − | 0.132513i | ||||
\(865\) | −6.66138 | + | 11.5379i | −0.226494 | + | 0.392299i | ||||
\(866\) | −0.402303 | − | 2.28158i | −0.0136708 | − | 0.0775311i | ||||
\(867\) | 17.3565 | + | 98.4335i | 0.589457 | + | 3.34298i | ||||
\(868\) | −15.1258 | + | 12.6920i | −0.513402 | + | 0.430795i | ||||
\(869\) | −1.11959 | + | 0.407499i | −0.0379796 | + | 0.0138235i | ||||
\(870\) | −10.4287 | + | 3.79573i | −0.353565 | + | 0.128687i | ||||
\(871\) | 50.6450 | − | 42.4962i | 1.71604 | − | 1.43993i | ||||
\(872\) | 1.57242 | + | 8.91763i | 0.0532488 | + | 0.301989i | ||||
\(873\) | 6.69289 | + | 37.9572i | 0.226520 | + | 1.28466i | ||||
\(874\) | 2.91089 | − | 5.04180i | 0.0984622 | − | 0.170541i | ||||
\(875\) | −3.31701 | − | 2.78330i | −0.112135 | − | 0.0940927i | ||||
\(876\) | −43.7711 | − | 15.9314i | −1.47889 | − | 0.538271i | ||||
\(877\) | 17.2030 | + | 29.7965i | 0.580905 | + | 1.00616i | 0.995372 | + | 0.0960931i | \(0.0306346\pi\) |
−0.414467 | + | 0.910064i | \(0.636032\pi\) | |||||||
\(878\) | −6.22476 | + | 10.7816i | −0.210076 | + | 0.363861i | ||||
\(879\) | −39.9259 | + | 33.5018i | −1.34667 | + | 1.12999i | ||||
\(880\) | −0.207621 | − | 0.359611i | −0.00699891 | − | 0.0121225i | ||||
\(881\) | −2.82226 | + | 16.0058i | −0.0950842 | + | 0.539249i | 0.899637 | + | 0.436638i | \(0.143831\pi\) |
−0.994722 | + | 0.102611i | \(0.967280\pi\) | |||||||
\(882\) | −60.2242 | −2.02785 | ||||||||
\(883\) | 4.37290 | − | 24.7999i | 0.147160 | − | 0.834585i | −0.818448 | − | 0.574581i | \(-0.805165\pi\) |
0.965608 | − | 0.260004i | \(-0.0837238\pi\) | |||||||
\(884\) | 33.1581 | + | 27.8229i | 1.11523 | + | 0.935786i | ||||
\(885\) | −15.3780 | + | 5.59715i | −0.516927 | + | 0.188146i | ||||
\(886\) | −5.30490 | − | 1.93082i | −0.178221 | − | 0.0648673i | ||||
\(887\) | 16.4963 | 0.553892 | 0.276946 | − | 0.960885i | \(-0.410678\pi\) | ||||
0.276946 | + | 0.960885i | \(0.410678\pi\) | |||||||
\(888\) | −16.9090 | − | 3.83909i | −0.567430 | − | 0.128831i | ||||
\(889\) | −27.2878 | −0.915204 | ||||||||
\(890\) | 9.93290 | + | 3.61528i | 0.332952 | + | 0.121185i | ||||
\(891\) | −0.739911 | + | 0.269306i | −0.0247880 | + | 0.00902208i | ||||
\(892\) | −4.46079 | − | 3.74305i | −0.149358 | − | 0.125327i | ||||
\(893\) | 1.19751 | − | 6.79142i | 0.0400731 | − | 0.227266i | ||||
\(894\) | −6.82848 | −0.228379 | ||||||||
\(895\) | 3.80090 | − | 21.5560i | 0.127050 | − | 0.720537i | ||||
\(896\) | −2.16502 | − | 3.74993i | −0.0723283 | − | 0.125276i | ||||
\(897\) | −12.7814 | + | 10.7249i | −0.426758 | + | 0.358093i | ||||
\(898\) | −13.8321 | + | 23.9578i | −0.461582 | + | 0.799483i | ||||
\(899\) | 8.87670 | + | 15.3749i | 0.296055 | + | 0.512782i | ||||
\(900\) | −4.81665 | − | 1.75312i | −0.160555 | − | 0.0584373i | ||||
\(901\) | −33.5349 | − | 28.1391i | −1.11721 | − | 0.937450i | ||||
\(902\) | 1.02561 | − | 1.77641i | 0.0341490 | − | 0.0591479i | ||||
\(903\) | −1.48468 | − | 8.42004i | −0.0494070 | − | 0.280201i | ||||
\(904\) | −1.39033 | − | 7.88495i | −0.0462417 | − | 0.262250i | ||||
\(905\) | 5.66838 | − | 4.75634i | 0.188423 | − | 0.158106i | ||||
\(906\) | 43.6890 | − | 15.9015i | 1.45147 | − | 0.528292i | ||||
\(907\) | −47.0393 | + | 17.1209i | −1.56191 | + | 0.568490i | −0.971174 | − | 0.238372i | \(-0.923386\pi\) |
−0.590740 | + | 0.806862i | \(0.701164\pi\) | |||||||
\(908\) | −10.3687 | + | 8.70035i | −0.344097 | + | 0.288731i | ||||
\(909\) | 2.41333 | + | 13.6867i | 0.0800451 | + | 0.453959i | ||||
\(910\) | −4.51055 | − | 25.5806i | −0.149523 | − | 0.847989i | ||||
\(911\) | 16.7373 | − | 28.9898i | 0.554530 | − | 0.960475i | −0.443410 | − | 0.896319i | \(-0.646231\pi\) |
0.997940 | − | 0.0641556i | \(-0.0204354\pi\) | |||||||
\(912\) | 13.0292 | + | 10.9328i | 0.431439 | + | 0.362020i | ||||
\(913\) | −4.81288 | − | 1.75175i | −0.159283 | − | 0.0579744i | ||||
\(914\) | 0.280544 | + | 0.485916i | 0.00927957 | + | 0.0160727i | ||||
\(915\) | 14.1814 | − | 24.5629i | 0.468823 | − | 0.812025i | ||||
\(916\) | 9.37547 | − | 7.86695i | 0.309774 | − | 0.259931i | ||||
\(917\) | −42.5296 | − | 73.6634i | −1.40445 | − | 2.43258i | ||||
\(918\) | 7.59255 | − | 43.0595i | 0.250591 | − | 1.42117i | ||||
\(919\) | −2.34412 | −0.0773255 | −0.0386628 | − | 0.999252i | \(-0.512310\pi\) | ||||
−0.0386628 | + | 0.999252i | \(0.512310\pi\) | |||||||
\(920\) | −0.169432 | + | 0.960896i | −0.00558600 | + | 0.0316798i | ||||
\(921\) | 13.5427 | + | 11.3637i | 0.446248 | + | 0.374447i | ||||
\(922\) | 2.39644 | − | 0.872233i | 0.0789226 | − | 0.0287255i | ||||
\(923\) | 25.4946 | + | 9.27927i | 0.839164 | + | 0.305431i | ||||
\(924\) | −5.12539 | −0.168613 | ||||||||
\(925\) | −6.03469 | + | 0.763236i | −0.198419 | + | 0.0250951i | ||||
\(926\) | 21.5133 | 0.706972 | ||||||||
\(927\) | 41.8994 | + | 15.2501i | 1.37616 | + | 0.500880i | ||||
\(928\) | −3.65845 | + | 1.33157i | −0.120094 | + | 0.0437108i | ||||
\(929\) | −25.2900 | − | 21.2209i | −0.829739 | − | 0.696234i | 0.125492 | − | 0.992095i | \(-0.459949\pi\) |
−0.955231 | + | 0.295861i | \(0.904393\pi\) | |||||||
\(930\) | −2.25722 | + | 12.8013i | −0.0740171 | + | 0.419772i | ||||
\(931\) | 70.1038 | 2.29756 | ||||||||
\(932\) | −0.548797 | + | 3.11238i | −0.0179764 | + | 0.101949i | ||||
\(933\) | 32.6969 | + | 56.6328i | 1.07045 | + | 1.85407i | ||||
\(934\) | −18.1609 | + | 15.2388i | −0.594243 | + | 0.498629i | ||||
\(935\) | 1.49810 | − | 2.59478i | 0.0489930 | − | 0.0848584i | ||||
\(936\) | −15.3743 | − | 26.6291i | −0.502526 | − | 0.870401i | ||||
\(937\) | 31.9256 | + | 11.6200i | 1.04296 | + | 0.379607i | 0.806003 | − | 0.591912i | \(-0.201627\pi\) |
0.236960 | + | 0.971519i | \(0.423849\pi\) | |||||||
\(938\) | −36.5563 | − | 30.6744i | −1.19360 | − | 1.00155i | ||||
\(939\) | −28.6247 | + | 49.5795i | −0.934132 | + | 1.61796i | ||||
\(940\) | 0.200701 | + | 1.13823i | 0.00654614 | + | 0.0371250i | ||||
\(941\) | 3.98043 | + | 22.5741i | 0.129758 | + | 0.735896i | 0.978367 | + | 0.206875i | \(0.0663294\pi\) |
−0.848609 | + | 0.529020i | \(0.822559\pi\) | |||||||
\(942\) | −35.4333 | + | 29.7320i | −1.15448 | + | 0.968722i | ||||
\(943\) | −4.52919 | + | 1.64849i | −0.147491 | + | 0.0536822i | ||||
\(944\) | −5.39472 | + | 1.96352i | −0.175583 | + | 0.0639070i | ||||
\(945\) | −20.1000 | + | 16.8659i | −0.653853 | + | 0.548647i | ||||
\(946\) | −0.0499470 | − | 0.283264i | −0.00162392 | − | 0.00920970i | ||||
\(947\) | −8.08973 | − | 45.8791i | −0.262881 | − | 1.49087i | −0.775002 | − | 0.631959i | \(-0.782251\pi\) |
0.512121 | − | 0.858913i | \(-0.328860\pi\) | |||||||
\(948\) | −4.08955 | + | 7.08330i | −0.132822 | + | 0.230055i | ||||
\(949\) | −75.0914 | − | 63.0092i | −2.43757 | − | 2.04536i | ||||
\(950\) | 5.60681 | + | 2.04071i | 0.181909 | + | 0.0662095i | ||||
\(951\) | 29.7550 | + | 51.5372i | 0.964872 | + | 1.67121i | ||||
\(952\) | 15.6218 | − | 27.0577i | 0.506305 | − | 0.876945i | ||||
\(953\) | −10.9994 | + | 9.22959i | −0.356305 | + | 0.298976i | −0.803316 | − | 0.595553i | \(-0.796933\pi\) |
0.447011 | + | 0.894529i | \(0.352489\pi\) | |||||||
\(954\) | 15.5491 | + | 26.9318i | 0.503420 | + | 0.871949i | ||||
\(955\) | −1.54303 | + | 8.75096i | −0.0499313 | + | 0.283175i | ||||
\(956\) | −8.75855 | −0.283272 | ||||||||
\(957\) | −0.800231 | + | 4.53833i | −0.0258678 | + | 0.146704i | ||||
\(958\) | −19.9129 | − | 16.7089i | −0.643357 | − | 0.539841i | ||||
\(959\) | 34.1139 | − | 12.4165i | 1.10160 | − | 0.400948i | ||||
\(960\) | −2.67866 | − | 0.974954i | −0.0864535 | − | 0.0314665i | ||||
\(961\) | −10.2058 | −0.329220 | ||||||||
\(962\) | −30.6747 | − | 19.7623i | −0.988992 | − | 0.637161i | ||||
\(963\) | −73.8720 | −2.38049 | ||||||||
\(964\) | 1.42330 | + | 0.518039i | 0.0458414 | + | 0.0166849i | ||||
\(965\) | −8.17911 | + | 2.97695i | −0.263295 | + | 0.0958315i | ||||
\(966\) | 9.22579 | + | 7.74136i | 0.296835 | + | 0.249074i | ||||
\(967\) | −7.47716 | + | 42.4051i | −0.240449 | + | 1.36365i | 0.590379 | + | 0.807126i | \(0.298978\pi\) |
−0.830828 | + | 0.556529i | \(0.812133\pi\) | |||||||
\(968\) | 10.8276 | 0.348011 | ||||||||
\(969\) | −21.3109 | + | 120.860i | −0.684603 | + | 3.88258i | ||||
\(970\) | 3.75971 | + | 6.51200i | 0.120717 | + | 0.209088i | ||||
\(971\) | −23.7825 | + | 19.9559i | −0.763217 | + | 0.640415i | −0.938962 | − | 0.344021i | \(-0.888211\pi\) |
0.175745 | + | 0.984436i | \(0.443767\pi\) | |||||||
\(972\) | 6.38683 | − | 11.0623i | 0.204858 | − | 0.354824i | ||||
\(973\) | 23.1688 | + | 40.1296i | 0.742759 | + | 1.28650i | ||||
\(974\) | −1.34987 | − | 0.491314i | −0.0432527 | − | 0.0157427i | ||||
\(975\) | −13.0995 | − | 10.9918i | −0.419519 | − | 0.352018i | ||||
\(976\) | 4.97493 | − | 8.61683i | 0.159244 | − | 0.275818i | ||||
\(977\) | −3.20561 | − | 18.1799i | −0.102557 | − | 0.581628i | −0.992168 | − | 0.124910i | \(-0.960136\pi\) |
0.889611 | − | 0.456718i | \(-0.150975\pi\) | |||||||
\(978\) | −1.76134 | − | 9.98903i | −0.0563213 | − | 0.319414i | ||||
\(979\) | 3.36238 | − | 2.82137i | 0.107462 | − | 0.0901713i | ||||
\(980\) | −11.0407 | + | 4.01849i | −0.352683 | + | 0.128366i | ||||
\(981\) | 43.6158 | − | 15.8748i | 1.39254 | − | 0.506845i | ||||
\(982\) | −18.3482 | + | 15.3960i | −0.585515 | + | 0.491305i | ||||
\(983\) | 0.463278 | + | 2.62738i | 0.0147763 | + | 0.0838005i | 0.991304 | − | 0.131591i | \(-0.0420085\pi\) |
−0.976528 | + | 0.215391i | \(0.930897\pi\) | |||||||
\(984\) | −2.44519 | − | 13.8674i | −0.0779498 | − | 0.442075i | ||||
\(985\) | 8.38252 | − | 14.5190i | 0.267089 | − | 0.462612i | ||||
\(986\) | −21.5195 | − | 18.0570i | −0.685322 | − | 0.575053i | ||||
\(987\) | 13.4057 | + | 4.87927i | 0.426708 | + | 0.155309i | ||||
\(988\) | 17.8965 | + | 30.9976i | 0.569363 | + | 0.986165i | ||||
\(989\) | −0.337935 | + | 0.585320i | −0.0107457 | + | 0.0186121i | ||||
\(990\) | −1.63048 | + | 1.36813i | −0.0518200 | + | 0.0434822i | ||||
\(991\) | −8.50500 | − | 14.7311i | −0.270170 | − | 0.467948i | 0.698735 | − | 0.715380i | \(-0.253747\pi\) |
−0.968905 | + | 0.247432i | \(0.920413\pi\) | |||||||
\(992\) | −0.791847 | + | 4.49079i | −0.0251412 | + | 0.142583i | ||||
\(993\) | 86.5398 | 2.74626 | ||||||||
\(994\) | 3.40062 | − | 19.2858i | 0.107861 | − | 0.611710i | ||||
\(995\) | −0.951574 | − | 0.798466i | −0.0301669 | − | 0.0253131i | ||||
\(996\) | −33.0397 | + | 12.0255i | −1.04690 | + | 0.381041i | ||||
\(997\) | 49.4991 | + | 18.0162i | 1.56765 | + | 0.570579i | 0.972474 | − | 0.233013i | \(-0.0748585\pi\) |
0.595180 | + | 0.803592i | \(0.297081\pi\) | |||||||
\(998\) | 41.2383 | 1.30538 | ||||||||
\(999\) | −1.79531 | + | 36.8158i | −0.0568011 | + | 1.16480i |
(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 | 370.2.o.c.201.1 | yes | 24 | |
37.7 | even | 9 | inner | 370.2.o.c.81.1 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.o.c.81.1 | ✓ | 24 | 37.7 | even | 9 | inner | |
370.2.o.c.201.1 | yes | 24 | 1.1 | even | 1 | trivial |