Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(67,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([8, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.v (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: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 67.4 | ||
Character | \(\chi\) | \(=\) | 378.67 |
Dual form | 378.2.v.b.79.4 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.766044 | − | 0.642788i | 0.541675 | − | 0.454519i | ||||
\(3\) | −1.07856 | − | 1.35526i | −0.622705 | − | 0.782457i | ||||
\(4\) | 0.173648 | − | 0.984808i | 0.0868241 | − | 0.492404i | ||||
\(5\) | 0.620533 | − | 3.51922i | 0.277511 | − | 1.57384i | −0.453361 | − | 0.891327i | \(-0.649775\pi\) |
0.730872 | − | 0.682515i | \(-0.239114\pi\) | |||||||
\(6\) | −1.69736 | − | 0.344903i | −0.692946 | − | 0.140806i | ||||
\(7\) | −0.670349 | − | 2.55942i | −0.253368 | − | 0.967370i | ||||
\(8\) | −0.500000 | − | 0.866025i | −0.176777 | − | 0.306186i | ||||
\(9\) | −0.673434 | + | 2.92344i | −0.224478 | + | 0.974479i | ||||
\(10\) | −1.78675 | − | 3.09475i | −0.565021 | − | 0.978645i | ||||
\(11\) | 0.735962 | + | 4.17385i | 0.221901 | + | 1.25846i | 0.868522 | + | 0.495651i | \(0.165070\pi\) |
−0.646621 | + | 0.762811i | \(0.723818\pi\) | |||||||
\(12\) | −1.52196 | + | 0.826833i | −0.439351 | + | 0.238686i | ||||
\(13\) | −0.585610 | + | 3.32116i | −0.162419 | + | 0.921123i | 0.789267 | + | 0.614050i | \(0.210461\pi\) |
−0.951686 | + | 0.307073i | \(0.900650\pi\) | |||||||
\(14\) | −2.15868 | − | 1.52974i | −0.576932 | − | 0.408840i | ||||
\(15\) | −5.43872 | + | 2.95469i | −1.40427 | + | 0.762898i | ||||
\(16\) | −0.939693 | − | 0.342020i | −0.234923 | − | 0.0855050i | ||||
\(17\) | 1.28580 | + | 2.22707i | 0.311853 | + | 0.540145i | 0.978763 | − | 0.204993i | \(-0.0657171\pi\) |
−0.666911 | + | 0.745138i | \(0.732384\pi\) | |||||||
\(18\) | 1.36327 | + | 2.67236i | 0.321326 | + | 0.629881i | ||||
\(19\) | 3.01921 | − | 5.22942i | 0.692654 | − | 1.19971i | −0.278311 | − | 0.960491i | \(-0.589775\pi\) |
0.970965 | − | 0.239221i | \(-0.0768920\pi\) | |||||||
\(20\) | −3.35800 | − | 1.22221i | −0.750871 | − | 0.273295i | ||||
\(21\) | −2.74566 | + | 3.66897i | −0.599152 | + | 0.800635i | ||||
\(22\) | 3.24668 | + | 2.72429i | 0.692194 | + | 0.580820i | ||||
\(23\) | −1.75410 | − | 1.47186i | −0.365755 | − | 0.306905i | 0.441325 | − | 0.897347i | \(-0.354509\pi\) |
−0.807079 | + | 0.590443i | \(0.798953\pi\) | |||||||
\(24\) | −0.634407 | + | 1.61168i | −0.129498 | + | 0.328984i | ||||
\(25\) | −7.30136 | − | 2.65748i | −1.46027 | − | 0.531496i | ||||
\(26\) | 1.68620 | + | 2.92058i | 0.330690 | + | 0.572772i | ||||
\(27\) | 4.68834 | − | 2.24042i | 0.902271 | − | 0.431168i | ||||
\(28\) | −2.63694 | + | 0.215726i | −0.498335 | + | 0.0407684i | ||||
\(29\) | −0.315874 | − | 1.79141i | −0.0586563 | − | 0.332657i | 0.941332 | − | 0.337482i | \(-0.109575\pi\) |
−0.999988 | + | 0.00482527i | \(0.998464\pi\) | |||||||
\(30\) | −2.26706 | + | 5.75936i | −0.413906 | + | 1.05151i | ||||
\(31\) | 1.79383 | − | 10.1733i | 0.322181 | − | 1.82718i | −0.206606 | − | 0.978424i | \(-0.566242\pi\) |
0.528787 | − | 0.848755i | \(-0.322647\pi\) | |||||||
\(32\) | −0.939693 | + | 0.342020i | −0.166116 | + | 0.0604612i | ||||
\(33\) | 4.86285 | − | 5.49914i | 0.846514 | − | 0.957278i | ||||
\(34\) | 2.41652 | + | 0.879540i | 0.414429 | + | 0.150840i | ||||
\(35\) | −9.42313 | + | 0.770898i | −1.59280 | + | 0.130306i | ||||
\(36\) | 2.76208 | + | 1.17085i | 0.460347 | + | 0.195142i | ||||
\(37\) | 7.16828 | 1.17846 | 0.589229 | − | 0.807966i | \(-0.299431\pi\) | ||||
0.589229 | + | 0.807966i | \(0.299431\pi\) | |||||||
\(38\) | −1.04856 | − | 5.94668i | −0.170099 | − | 0.964679i | ||||
\(39\) | 5.13263 | − | 2.78840i | 0.821879 | − | 0.446502i | ||||
\(40\) | −3.35800 | + | 1.22221i | −0.530946 | + | 0.193249i | ||||
\(41\) | −1.32145 | + | 7.49429i | −0.206375 | + | 1.17041i | 0.688886 | + | 0.724870i | \(0.258100\pi\) |
−0.895261 | + | 0.445542i | \(0.853011\pi\) | |||||||
\(42\) | 0.255073 | + | 4.57547i | 0.0393586 | + | 0.706011i | ||||
\(43\) | −2.13929 | + | 1.79507i | −0.326238 | + | 0.273746i | −0.791165 | − | 0.611603i | \(-0.790525\pi\) |
0.464927 | + | 0.885349i | \(0.346081\pi\) | |||||||
\(44\) | 4.23824 | 0.638938 | ||||||||
\(45\) | 9.87032 | + | 4.18405i | 1.47138 | + | 0.623721i | ||||
\(46\) | −2.28981 | −0.337614 | ||||||||
\(47\) | −0.550684 | − | 3.12308i | −0.0803255 | − | 0.455549i | −0.998268 | − | 0.0588345i | \(-0.981262\pi\) |
0.917942 | − | 0.396714i | \(-0.129850\pi\) | |||||||
\(48\) | 0.549987 | + | 1.64241i | 0.0793837 | + | 0.237062i | ||||
\(49\) | −6.10127 | + | 3.43141i | −0.871609 | + | 0.490201i | ||||
\(50\) | −7.30136 | + | 2.65748i | −1.03257 | + | 0.375824i | ||||
\(51\) | 1.63144 | − | 4.14461i | 0.228448 | − | 0.580362i | ||||
\(52\) | 3.16901 | + | 1.15343i | 0.439463 | + | 0.159951i | ||||
\(53\) | 4.04351 | − | 7.00356i | 0.555418 | − | 0.962012i | −0.442453 | − | 0.896792i | \(-0.645892\pi\) |
0.997871 | − | 0.0652206i | \(-0.0207751\pi\) | |||||||
\(54\) | 2.15136 | − | 4.72987i | 0.292764 | − | 0.643653i | ||||
\(55\) | 15.1454 | 2.04220 | ||||||||
\(56\) | −1.88135 | + | 1.86025i | −0.251406 | + | 0.248586i | ||||
\(57\) | −10.3436 | + | 1.54843i | −1.37004 | + | 0.205094i | ||||
\(58\) | −1.39347 | − | 1.16926i | −0.182972 | − | 0.153531i | ||||
\(59\) | −5.98431 | + | 2.17811i | −0.779091 | + | 0.283566i | −0.700793 | − | 0.713364i | \(-0.747171\pi\) |
−0.0782972 | + | 0.996930i | \(0.524948\pi\) | |||||||
\(60\) | 1.96538 | + | 5.86917i | 0.253730 | + | 0.757706i | ||||
\(61\) | 0.904765 | + | 5.13118i | 0.115843 | + | 0.656980i | 0.986329 | + | 0.164787i | \(0.0526936\pi\) |
−0.870486 | + | 0.492193i | \(0.836195\pi\) | |||||||
\(62\) | −5.16512 | − | 8.94625i | −0.655971 | − | 1.13617i | ||||
\(63\) | 7.93374 | − | 0.236123i | 0.999557 | − | 0.0297487i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 11.3245 | + | 4.12177i | 1.40463 | + | 0.511243i | ||||
\(66\) | 0.190379 | − | 7.33837i | 0.0234341 | − | 0.903291i | ||||
\(67\) | −1.43204 | − | 1.20163i | −0.174952 | − | 0.146802i | 0.551107 | − | 0.834435i | \(-0.314206\pi\) |
−0.726059 | + | 0.687633i | \(0.758650\pi\) | |||||||
\(68\) | 2.41652 | − | 0.879540i | 0.293046 | − | 0.106660i | ||||
\(69\) | −0.102857 | + | 3.96474i | −0.0123825 | + | 0.477298i | ||||
\(70\) | −6.72301 | + | 6.64761i | −0.803553 | + | 0.794542i | ||||
\(71\) | −3.31293 | + | 5.73817i | −0.393173 | + | 0.680996i | −0.992866 | − | 0.119234i | \(-0.961956\pi\) |
0.599693 | + | 0.800230i | \(0.295289\pi\) | |||||||
\(72\) | 2.86849 | − | 0.878508i | 0.338055 | − | 0.103533i | ||||
\(73\) | 12.1719 | 1.42462 | 0.712309 | − | 0.701866i | \(-0.247649\pi\) | ||||
0.712309 | + | 0.701866i | \(0.247649\pi\) | |||||||
\(74\) | 5.49122 | − | 4.60768i | 0.638342 | − | 0.535632i | ||||
\(75\) | 4.27337 | + | 12.7614i | 0.493446 | + | 1.47356i | ||||
\(76\) | −4.62570 | − | 3.88142i | −0.530604 | − | 0.445229i | ||||
\(77\) | 10.1893 | − | 4.68157i | 1.16118 | − | 0.533514i | ||||
\(78\) | 2.13947 | − | 5.43523i | 0.242247 | − | 0.615419i | ||||
\(79\) | 2.65034 | − | 2.22390i | 0.298187 | − | 0.250208i | −0.481402 | − | 0.876500i | \(-0.659872\pi\) |
0.779589 | + | 0.626291i | \(0.215428\pi\) | |||||||
\(80\) | −1.78675 | + | 3.09475i | −0.199765 | + | 0.346003i | ||||
\(81\) | −8.09297 | − | 3.93748i | −0.899219 | − | 0.437498i | ||||
\(82\) | 3.80495 | + | 6.59037i | 0.420187 | + | 0.727785i | ||||
\(83\) | 0.275388 | + | 1.56180i | 0.0302278 | + | 0.171430i | 0.996184 | − | 0.0872741i | \(-0.0278156\pi\) |
−0.965957 | + | 0.258704i | \(0.916704\pi\) | |||||||
\(84\) | 3.13645 | + | 3.34106i | 0.342215 | + | 0.364539i | ||||
\(85\) | 8.63544 | − | 3.14304i | 0.936645 | − | 0.340911i | ||||
\(86\) | −0.484937 | + | 2.75021i | −0.0522921 | + | 0.296563i | ||||
\(87\) | −2.08713 | + | 2.36023i | −0.223764 | + | 0.253043i | ||||
\(88\) | 3.24668 | − | 2.72429i | 0.346097 | − | 0.290410i | ||||
\(89\) | −2.58297 | + | 4.47383i | −0.273794 | + | 0.474225i | −0.969830 | − | 0.243782i | \(-0.921612\pi\) |
0.696036 | + | 0.718007i | \(0.254945\pi\) | |||||||
\(90\) | 10.2506 | − | 3.13935i | 1.08050 | − | 0.330917i | ||||
\(91\) | 8.89280 | − | 0.727513i | 0.932219 | − | 0.0762640i | ||||
\(92\) | −1.75410 | + | 1.47186i | −0.182877 | + | 0.153452i | ||||
\(93\) | −15.7222 | + | 8.54138i | −1.63031 | + | 0.885700i | ||||
\(94\) | −2.42933 | − | 2.03845i | −0.250566 | − | 0.210250i | ||||
\(95\) | −16.5300 | − | 13.8703i | −1.69594 | − | 1.42306i | ||||
\(96\) | 1.47704 | + | 0.904635i | 0.150749 | + | 0.0923290i | ||||
\(97\) | 14.6758 | − | 12.3145i | 1.49010 | − | 1.25034i | 0.595597 | − | 0.803284i | \(-0.296916\pi\) |
0.894504 | − | 0.447060i | \(-0.147529\pi\) | |||||||
\(98\) | −2.46817 | + | 6.55043i | −0.249323 | + | 0.661693i | ||||
\(99\) | −12.6976 | − | 0.659271i | −1.27616 | − | 0.0662592i | ||||
\(100\) | −3.88497 | + | 6.72897i | −0.388497 | + | 0.672897i | ||||
\(101\) | −6.46670 | + | 5.42621i | −0.643461 | + | 0.539928i | −0.905079 | − | 0.425244i | \(-0.860188\pi\) |
0.261618 | + | 0.965171i | \(0.415744\pi\) | |||||||
\(102\) | −1.41435 | − | 4.22363i | −0.140041 | − | 0.418202i | ||||
\(103\) | 3.50065 | − | 19.8532i | 0.344929 | − | 1.95619i | 0.0576796 | − | 0.998335i | \(-0.481630\pi\) |
0.287250 | − | 0.957856i | \(-0.407259\pi\) | |||||||
\(104\) | 3.16901 | − | 1.15343i | 0.310747 | − | 0.113103i | ||||
\(105\) | 11.2081 | + | 11.9393i | 1.09380 | + | 1.16516i | ||||
\(106\) | −1.40429 | − | 7.96415i | −0.136397 | − | 0.773547i | ||||
\(107\) | 3.04619 | + | 5.27616i | 0.294487 | + | 0.510066i | 0.974865 | − | 0.222795i | \(-0.0715180\pi\) |
−0.680379 | + | 0.732861i | \(0.738185\pi\) | |||||||
\(108\) | −1.39226 | − | 5.00616i | −0.133970 | − | 0.481718i | ||||
\(109\) | −5.46649 | + | 9.46824i | −0.523595 | + | 0.906893i | 0.476028 | + | 0.879430i | \(0.342076\pi\) |
−0.999623 | + | 0.0274630i | \(0.991257\pi\) | |||||||
\(110\) | 11.6020 | − | 9.73525i | 1.10621 | − | 0.928220i | ||||
\(111\) | −7.73140 | − | 9.71485i | −0.733832 | − | 0.922093i | ||||
\(112\) | −0.245452 | + | 2.63434i | −0.0231930 | + | 0.248922i | ||||
\(113\) | 3.76639 | + | 3.16038i | 0.354312 | + | 0.297303i | 0.802519 | − | 0.596627i | \(-0.203493\pi\) |
−0.448207 | + | 0.893930i | \(0.647937\pi\) | |||||||
\(114\) | −6.92834 | + | 7.83489i | −0.648898 | + | 0.733805i | ||||
\(115\) | −6.26828 | + | 5.25971i | −0.584520 | + | 0.490471i | ||||
\(116\) | −1.81905 | −0.168894 | ||||||||
\(117\) | −9.31483 | − | 3.94857i | −0.861156 | − | 0.365046i | ||||
\(118\) | −3.18418 | + | 5.51517i | −0.293128 | + | 0.507712i | ||||
\(119\) | 4.83808 | − | 4.78382i | 0.443506 | − | 0.438532i | ||||
\(120\) | 5.27820 | + | 3.23272i | 0.481831 | + | 0.295106i | ||||
\(121\) | −6.54274 | + | 2.38136i | −0.594795 | + | 0.216488i | ||||
\(122\) | 3.99135 | + | 3.34914i | 0.361360 | + | 0.303217i | ||||
\(123\) | 11.5819 | − | 6.29212i | 1.04431 | − | 0.567341i | ||||
\(124\) | −9.70725 | − | 3.53315i | −0.871737 | − | 0.317286i | ||||
\(125\) | −4.94921 | + | 8.57228i | −0.442671 | + | 0.766728i | ||||
\(126\) | 5.92582 | − | 5.28059i | 0.527914 | − | 0.470432i | ||||
\(127\) | 2.75557 | + | 4.77279i | 0.244517 | + | 0.423517i | 0.961996 | − | 0.273064i | \(-0.0880371\pi\) |
−0.717478 | + | 0.696581i | \(0.754704\pi\) | |||||||
\(128\) | 0.173648 | + | 0.984808i | 0.0153485 | + | 0.0870455i | ||||
\(129\) | 4.74012 | + | 0.963191i | 0.417345 | + | 0.0848042i | ||||
\(130\) | 11.3245 | − | 4.12177i | 0.993223 | − | 0.361504i | ||||
\(131\) | 2.24615 | + | 1.88474i | 0.196247 | + | 0.164671i | 0.735616 | − | 0.677399i | \(-0.236893\pi\) |
−0.539369 | + | 0.842070i | \(0.681337\pi\) | |||||||
\(132\) | −4.57117 | − | 5.74389i | −0.397870 | − | 0.499942i | ||||
\(133\) | −15.4082 | − | 4.22189i | −1.33606 | − | 0.366084i | ||||
\(134\) | −1.86940 | −0.161491 | ||||||||
\(135\) | −4.97524 | − | 17.8895i | −0.428201 | − | 1.53969i | ||||
\(136\) | 1.28580 | − | 2.22707i | 0.110257 | − | 0.190970i | ||||
\(137\) | 15.2235 | + | 5.54091i | 1.30063 | + | 0.473392i | 0.897203 | − | 0.441618i | \(-0.145595\pi\) |
0.403431 | + | 0.915010i | \(0.367818\pi\) | |||||||
\(138\) | 2.46969 | + | 3.10328i | 0.210234 | + | 0.264169i | ||||
\(139\) | −13.9917 | + | 5.09257i | −1.18676 | + | 0.431946i | −0.858585 | − | 0.512671i | \(-0.828656\pi\) |
−0.328176 | + | 0.944617i | \(0.606434\pi\) | |||||||
\(140\) | −0.877122 | + | 9.41383i | −0.0741304 | + | 0.795614i | ||||
\(141\) | −3.63863 | + | 4.11474i | −0.306428 | + | 0.346523i | ||||
\(142\) | 1.15057 | + | 6.52521i | 0.0965537 | + | 0.547583i | ||||
\(143\) | −14.2930 | −1.19524 | ||||||||
\(144\) | 1.63270 | − | 2.51680i | 0.136058 | − | 0.209734i | ||||
\(145\) | −6.50037 | −0.539827 | ||||||||
\(146\) | 9.32425 | − | 7.82397i | 0.771680 | − | 0.647517i | ||||
\(147\) | 11.2310 | + | 4.56781i | 0.926317 | + | 0.376746i | ||||
\(148\) | 1.24476 | − | 7.05938i | 0.102319 | − | 0.580278i | ||||
\(149\) | −6.78584 | + | 2.46984i | −0.555918 | + | 0.202338i | −0.604674 | − | 0.796473i | \(-0.706697\pi\) |
0.0487561 | + | 0.998811i | \(0.484474\pi\) | |||||||
\(150\) | 11.4765 | + | 7.02897i | 0.937051 | + | 0.573913i | ||||
\(151\) | 1.41821 | + | 8.04308i | 0.115412 | + | 0.654536i | 0.986545 | + | 0.163489i | \(0.0522748\pi\) |
−0.871133 | + | 0.491048i | \(0.836614\pi\) | |||||||
\(152\) | −6.03842 | −0.489780 | ||||||||
\(153\) | −7.37662 | + | 2.25917i | −0.596364 | + | 0.182643i | ||||
\(154\) | 4.79619 | − | 10.1358i | 0.386488 | − | 0.816769i | ||||
\(155\) | −34.6889 | − | 12.6257i | −2.78628 | − | 1.01412i | ||||
\(156\) | −1.85477 | − | 5.53885i | −0.148500 | − | 0.443463i | ||||
\(157\) | 16.1435 | − | 5.87575i | 1.28839 | − | 0.468936i | 0.395192 | − | 0.918599i | \(-0.370678\pi\) |
0.893198 | + | 0.449663i | \(0.148456\pi\) | |||||||
\(158\) | 0.600783 | − | 3.40721i | 0.0477958 | − | 0.271063i | ||||
\(159\) | −13.8528 | + | 2.07375i | −1.09859 | + | 0.164459i | ||||
\(160\) | 0.620533 | + | 3.51922i | 0.0490574 | + | 0.278218i | ||||
\(161\) | −2.59126 | + | 5.47614i | −0.204220 | + | 0.431580i | ||||
\(162\) | −8.73054 | + | 2.18578i | −0.685936 | + | 0.171731i | ||||
\(163\) | 5.52476 | + | 9.56917i | 0.432733 | + | 0.749515i | 0.997108 | − | 0.0760035i | \(-0.0242160\pi\) |
−0.564375 | + | 0.825519i | \(0.690883\pi\) | |||||||
\(164\) | 7.15097 | + | 2.60274i | 0.558397 | + | 0.203240i | ||||
\(165\) | −16.3351 | − | 20.5258i | −1.27169 | − | 1.59793i | ||||
\(166\) | 1.21487 | + | 1.01940i | 0.0942920 | + | 0.0791204i | ||||
\(167\) | 15.1547 | + | 12.7163i | 1.17270 | + | 0.984014i | 1.00000 | 0.000959417i | \(-0.000305392\pi\) | |
0.172703 | + | 0.984974i | \(0.444750\pi\) | |||||||
\(168\) | 4.55025 | + | 0.543325i | 0.351060 | + | 0.0419184i | ||||
\(169\) | 1.52885 | + | 0.556457i | 0.117604 | + | 0.0428044i | ||||
\(170\) | 4.59482 | − | 7.95846i | 0.352407 | − | 0.610386i | ||||
\(171\) | 13.2547 | + | 12.3481i | 1.01361 | + | 0.944286i | ||||
\(172\) | 1.39632 | + | 2.41850i | 0.106468 | + | 0.184409i | ||||
\(173\) | −18.2070 | − | 6.62682i | −1.38426 | − | 0.503828i | −0.460790 | − | 0.887509i | \(-0.652434\pi\) |
−0.923466 | + | 0.383681i | \(0.874656\pi\) | |||||||
\(174\) | −0.0817105 | + | 3.14962i | −0.00619446 | + | 0.238772i | ||||
\(175\) | −1.90714 | + | 20.4687i | −0.144167 | + | 1.54729i | ||||
\(176\) | 0.735962 | − | 4.17385i | 0.0554752 | − | 0.314616i | ||||
\(177\) | 9.40631 | + | 5.76105i | 0.707021 | + | 0.433027i | ||||
\(178\) | 0.897055 | + | 5.08745i | 0.0672371 | + | 0.381320i | ||||
\(179\) | 10.9281 | + | 18.9280i | 0.816805 | + | 1.41475i | 0.908025 | + | 0.418917i | \(0.137590\pi\) |
−0.0912195 | + | 0.995831i | \(0.529076\pi\) | |||||||
\(180\) | 5.83445 | − | 8.99382i | 0.434874 | − | 0.670360i | ||||
\(181\) | 2.48406 | + | 4.30251i | 0.184638 | + | 0.319803i | 0.943455 | − | 0.331502i | \(-0.107555\pi\) |
−0.758816 | + | 0.651305i | \(0.774222\pi\) | |||||||
\(182\) | 6.34465 | − | 6.27349i | 0.470296 | − | 0.465022i | ||||
\(183\) | 5.97822 | − | 6.76045i | 0.441923 | − | 0.499747i | ||||
\(184\) | −0.397622 | + | 2.25502i | −0.0293131 | + | 0.166243i | ||||
\(185\) | 4.44816 | − | 25.2267i | 0.327035 | − | 1.85471i | ||||
\(186\) | −6.55358 | + | 16.6491i | −0.480532 | + | 1.22077i | ||||
\(187\) | −8.34917 | + | 7.00578i | −0.610552 | + | 0.512314i | ||||
\(188\) | −3.17126 | −0.231288 | ||||||||
\(189\) | −8.87699 | − | 10.4976i | −0.645706 | − | 0.763586i | ||||
\(190\) | −21.5783 | −1.56546 | ||||||||
\(191\) | 12.7309 | − | 10.6825i | 0.921173 | − | 0.772956i | −0.0530384 | − | 0.998592i | \(-0.516891\pi\) |
0.974212 | + | 0.225636i | \(0.0724461\pi\) | |||||||
\(192\) | 1.71296 | − | 0.256429i | 0.123622 | − | 0.0185062i | ||||
\(193\) | −0.318916 | + | 1.80866i | −0.0229560 | + | 0.130190i | −0.994132 | − | 0.108173i | \(-0.965500\pi\) |
0.971176 | + | 0.238364i | \(0.0766110\pi\) | |||||||
\(194\) | 3.32673 | − | 18.8668i | 0.238845 | − | 1.35456i | ||||
\(195\) | −6.62803 | − | 19.7931i | −0.474643 | − | 1.41742i | ||||
\(196\) | 2.31980 | + | 6.60443i | 0.165700 | + | 0.471745i | ||||
\(197\) | 5.53938 | + | 9.59449i | 0.394665 | + | 0.683579i | 0.993058 | − | 0.117623i | \(-0.0375274\pi\) |
−0.598394 | + | 0.801202i | \(0.704194\pi\) | |||||||
\(198\) | −10.1507 | + | 7.65683i | −0.721379 | + | 0.544147i | ||||
\(199\) | 4.99889 | + | 8.65832i | 0.354362 | + | 0.613772i | 0.987008 | − | 0.160668i | \(-0.0513649\pi\) |
−0.632647 | + | 0.774440i | \(0.718032\pi\) | |||||||
\(200\) | 1.34924 | + | 7.65190i | 0.0954055 | + | 0.541071i | ||||
\(201\) | −0.0839723 | + | 3.23680i | −0.00592295 | + | 0.228306i | ||||
\(202\) | −1.46588 | + | 8.31343i | −0.103139 | + | 0.584931i | ||||
\(203\) | −4.37323 | + | 2.00932i | −0.306940 | + | 0.141027i | ||||
\(204\) | −3.79835 | − | 2.32636i | −0.265938 | − | 0.162878i | ||||
\(205\) | 25.5540 | + | 9.30091i | 1.78477 | + | 0.649604i | ||||
\(206\) | −10.0797 | − | 17.4586i | −0.702287 | − | 1.21640i | ||||
\(207\) | 5.48417 | − | 4.13679i | 0.381176 | − | 0.287527i | ||||
\(208\) | 1.68620 | − | 2.92058i | 0.116917 | − | 0.202506i | ||||
\(209\) | 24.0488 | + | 8.75306i | 1.66349 | + | 0.605462i | ||||
\(210\) | 16.2604 | + | 1.94157i | 1.12207 | + | 0.133981i | ||||
\(211\) | −15.4658 | − | 12.9774i | −1.06471 | − | 0.893398i | −0.0701473 | − | 0.997537i | \(-0.522347\pi\) |
−0.994563 | + | 0.104139i | \(0.966791\pi\) | |||||||
\(212\) | −6.19501 | − | 5.19823i | −0.425475 | − | 0.357016i | ||||
\(213\) | 11.3499 | − | 1.69907i | 0.777680 | − | 0.116418i | ||||
\(214\) | 5.72497 | + | 2.08372i | 0.391351 | + | 0.142440i | ||||
\(215\) | 4.98976 | + | 8.64251i | 0.340299 | + | 0.589415i | ||||
\(216\) | −4.28443 | − | 2.94001i | −0.291518 | − | 0.200043i | ||||
\(217\) | −27.2402 | + | 2.22850i | −1.84919 | + | 0.151281i | ||||
\(218\) | 1.89849 | + | 10.7669i | 0.128582 | + | 0.729226i | ||||
\(219\) | −13.1281 | − | 16.4961i | −0.887116 | − | 1.11470i | ||||
\(220\) | 2.62996 | − | 14.9153i | 0.177312 | − | 1.00559i | ||||
\(221\) | −8.14944 | + | 2.96615i | −0.548191 | + | 0.199525i | ||||
\(222\) | −12.1672 | − | 2.47236i | −0.816608 | − | 0.165934i | ||||
\(223\) | −23.0056 | − | 8.37336i | −1.54057 | − | 0.560722i | −0.574388 | − | 0.818583i | \(-0.694760\pi\) |
−0.966182 | + | 0.257861i | \(0.916982\pi\) | |||||||
\(224\) | 1.50530 | + | 2.17580i | 0.100577 | + | 0.145376i | ||||
\(225\) | 12.6860 | − | 19.5554i | 0.845730 | − | 1.30370i | ||||
\(226\) | 4.91667 | 0.327052 | ||||||||
\(227\) | −2.47362 | − | 14.0286i | −0.164180 | − | 0.931111i | −0.949906 | − | 0.312536i | \(-0.898821\pi\) |
0.785726 | − | 0.618575i | \(-0.212290\pi\) | |||||||
\(228\) | −0.271242 | + | 10.4553i | −0.0179635 | + | 0.692421i | ||||
\(229\) | −18.1896 | + | 6.62047i | −1.20200 | + | 0.437493i | −0.863922 | − | 0.503625i | \(-0.831999\pi\) |
−0.338079 | + | 0.941118i | \(0.609777\pi\) | |||||||
\(230\) | −1.42090 | + | 8.05834i | −0.0936916 | + | 0.531352i | ||||
\(231\) | −17.3344 | − | 8.75974i | −1.14052 | − | 0.576348i | ||||
\(232\) | −1.39347 | + | 1.16926i | −0.0914858 | + | 0.0767657i | ||||
\(233\) | −14.4577 | −0.947157 | −0.473579 | − | 0.880752i | \(-0.657038\pi\) | ||||
−0.473579 | + | 0.880752i | \(0.657038\pi\) | |||||||
\(234\) | −9.67367 | + | 2.96267i | −0.632387 | + | 0.193676i | ||||
\(235\) | −11.3325 | −0.739252 | ||||||||
\(236\) | 1.10586 | + | 6.27162i | 0.0719851 | + | 0.408248i | ||||
\(237\) | −5.87249 | − | 1.19329i | −0.381459 | − | 0.0775124i | ||||
\(238\) | 0.631204 | − | 6.77448i | 0.0409149 | − | 0.439124i | ||||
\(239\) | 4.16230 | − | 1.51495i | 0.269237 | − | 0.0979941i | −0.203874 | − | 0.978997i | \(-0.565353\pi\) |
0.473111 | + | 0.881003i | \(0.343131\pi\) | |||||||
\(240\) | 6.12129 | − | 0.916352i | 0.395127 | − | 0.0591502i | ||||
\(241\) | −6.97073 | − | 2.53714i | −0.449024 | − | 0.163431i | 0.107603 | − | 0.994194i | \(-0.465683\pi\) |
−0.556627 | + | 0.830763i | \(0.687905\pi\) | |||||||
\(242\) | −3.48132 | + | 6.02982i | −0.223788 | + | 0.387612i | ||||
\(243\) | 3.39243 | + | 15.2148i | 0.217625 | + | 0.976033i | ||||
\(244\) | 5.21034 | 0.333558 | ||||||||
\(245\) | 8.28983 | + | 23.6010i | 0.529618 | + | 1.50781i | ||||
\(246\) | 4.82778 | − | 12.2648i | 0.307808 | − | 0.781973i | ||||
\(247\) | 15.5997 | + | 13.0897i | 0.992582 | + | 0.832876i | ||||
\(248\) | −9.70725 | + | 3.53315i | −0.616411 | + | 0.224355i | ||||
\(249\) | 1.81962 | − | 2.05771i | 0.115314 | − | 0.130402i | ||||
\(250\) | 1.71884 | + | 9.74804i | 0.108709 | + | 0.616520i | ||||
\(251\) | 7.82057 | + | 13.5456i | 0.493630 | + | 0.854993i | 0.999973 | − | 0.00733960i | \(-0.00233629\pi\) |
−0.506343 | + | 0.862332i | \(0.669003\pi\) | |||||||
\(252\) | 1.14514 | − | 7.85421i | 0.0721373 | − | 0.494769i | ||||
\(253\) | 4.85238 | − | 8.40457i | 0.305067 | − | 0.528391i | ||||
\(254\) | 5.17878 | + | 1.88492i | 0.324946 | + | 0.118270i | ||||
\(255\) | −13.5734 | − | 8.31328i | −0.850001 | − | 0.520598i | ||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | 3.23052 | − | 1.17581i | 0.201514 | − | 0.0733452i | −0.239291 | − | 0.970948i | \(-0.576915\pi\) |
0.440805 | + | 0.897603i | \(0.354693\pi\) | |||||||
\(258\) | 4.25027 | − | 2.30905i | 0.264610 | − | 0.143755i | ||||
\(259\) | −4.80525 | − | 18.3467i | −0.298584 | − | 1.14001i | ||||
\(260\) | 6.02563 | − | 10.4367i | 0.373694 | − | 0.647257i | ||||
\(261\) | 5.44980 | + | 0.282958i | 0.337334 | + | 0.0175147i | ||||
\(262\) | 2.93214 | 0.181148 | ||||||||
\(263\) | 14.1176 | − | 11.8461i | 0.870527 | − | 0.730459i | −0.0936820 | − | 0.995602i | \(-0.529864\pi\) |
0.964209 | + | 0.265143i | \(0.0854192\pi\) | |||||||
\(264\) | −7.19382 | − | 1.46178i | −0.442749 | − | 0.0899664i | ||||
\(265\) | −22.1379 | − | 18.5759i | −1.35992 | − | 1.14111i | ||||
\(266\) | −14.5172 | + | 6.67006i | −0.890104 | + | 0.408967i | ||||
\(267\) | 8.84905 | − | 1.32470i | 0.541553 | − | 0.0810701i | ||||
\(268\) | −1.43204 | + | 1.20163i | −0.0874759 | + | 0.0734010i | ||||
\(269\) | 2.60573 | − | 4.51325i | 0.158874 | − | 0.275178i | −0.775589 | − | 0.631238i | \(-0.782547\pi\) |
0.934463 | + | 0.356060i | \(0.115880\pi\) | |||||||
\(270\) | −15.3104 | − | 10.5062i | −0.931763 | − | 0.639384i | ||||
\(271\) | −7.42537 | − | 12.8611i | −0.451059 | − | 0.781257i | 0.547393 | − | 0.836876i | \(-0.315620\pi\) |
−0.998452 | + | 0.0556184i | \(0.982287\pi\) | |||||||
\(272\) | −0.446554 | − | 2.53254i | −0.0270763 | − | 0.153558i | ||||
\(273\) | −10.5774 | − | 11.2674i | −0.640170 | − | 0.681931i | ||||
\(274\) | 15.2235 | − | 5.54091i | 0.919687 | − | 0.334739i | ||||
\(275\) | 5.71838 | − | 32.4306i | 0.344832 | − | 1.95564i | ||||
\(276\) | 3.88664 | + | 0.789764i | 0.233948 | + | 0.0475382i | ||||
\(277\) | −4.85881 | + | 4.07703i | −0.291938 | + | 0.244965i | −0.776979 | − | 0.629526i | \(-0.783249\pi\) |
0.485041 | + | 0.874491i | \(0.338805\pi\) | |||||||
\(278\) | −7.44483 | + | 12.8948i | −0.446511 | + | 0.773380i | ||||
\(279\) | 28.5330 | + | 12.0952i | 1.70823 | + | 0.724120i | ||||
\(280\) | 5.37918 | + | 7.77522i | 0.321468 | + | 0.464658i | ||||
\(281\) | 6.51650 | − | 5.46799i | 0.388742 | − | 0.326193i | −0.427381 | − | 0.904072i | \(-0.640564\pi\) |
0.816123 | + | 0.577879i | \(0.196119\pi\) | |||||||
\(282\) | −0.142451 | + | 5.49094i | −0.00848285 | + | 0.326981i | ||||
\(283\) | 4.04102 | + | 3.39082i | 0.240214 | + | 0.201563i | 0.754945 | − | 0.655789i | \(-0.227664\pi\) |
−0.514731 | + | 0.857352i | \(0.672108\pi\) | |||||||
\(284\) | 5.07571 | + | 4.25903i | 0.301188 | + | 0.252727i | ||||
\(285\) | −0.969286 | + | 37.3622i | −0.0574155 | + | 2.21314i | ||||
\(286\) | −10.9491 | + | 9.18736i | −0.647432 | + | 0.543260i | ||||
\(287\) | 20.0669 | − | 1.64165i | 1.18451 | − | 0.0969038i | ||||
\(288\) | −0.367054 | − | 2.97746i | −0.0216289 | − | 0.175449i | ||||
\(289\) | 5.19343 | − | 8.99528i | 0.305496 | − | 0.529134i | ||||
\(290\) | −4.97957 | + | 4.17836i | −0.292411 | + | 0.245362i | ||||
\(291\) | −32.5179 | − | 6.60762i | −1.90623 | − | 0.387345i | ||||
\(292\) | 2.11364 | − | 11.9870i | 0.123691 | − | 0.701487i | ||||
\(293\) | −24.2167 | + | 8.81416i | −1.41476 | + | 0.514929i | −0.932522 | − | 0.361114i | \(-0.882397\pi\) |
−0.482234 | + | 0.876043i | \(0.660174\pi\) | |||||||
\(294\) | 11.5396 | − | 3.72000i | 0.673001 | − | 0.216955i | ||||
\(295\) | 3.95178 | + | 22.4117i | 0.230082 | + | 1.30486i | ||||
\(296\) | −3.58414 | − | 6.20792i | −0.208324 | − | 0.360828i | ||||
\(297\) | 12.8016 | + | 17.9196i | 0.742824 | + | 1.03980i | ||||
\(298\) | −3.61067 | + | 6.25386i | −0.209161 | + | 0.362277i | ||||
\(299\) | 5.91551 | − | 4.96370i | 0.342103 | − | 0.287058i | ||||
\(300\) | 13.3096 | − | 1.99244i | 0.768432 | − | 0.115034i | ||||
\(301\) | 6.02842 | + | 4.27201i | 0.347472 | + | 0.246234i | ||||
\(302\) | 6.25640 | + | 5.24975i | 0.360016 | + | 0.302089i | ||||
\(303\) | 14.3286 | + | 2.91156i | 0.823156 | + | 0.167265i | ||||
\(304\) | −4.62570 | + | 3.88142i | −0.265302 | + | 0.222615i | ||||
\(305\) | 18.6192 | 1.06613 | ||||||||
\(306\) | −4.19865 | + | 6.47223i | −0.240021 | + | 0.369992i | ||||
\(307\) | −12.7518 | + | 22.0867i | −0.727783 | + | 1.26056i | 0.230036 | + | 0.973182i | \(0.426116\pi\) |
−0.957818 | + | 0.287374i | \(0.907218\pi\) | |||||||
\(308\) | −2.84110 | − | 10.8474i | −0.161886 | − | 0.618089i | ||||
\(309\) | −30.6818 | + | 16.6685i | −1.74542 | + | 0.948237i | ||||
\(310\) | −34.6889 | + | 12.6257i | −1.97020 | + | 0.717093i | ||||
\(311\) | 5.05181 | + | 4.23898i | 0.286462 | + | 0.240370i | 0.774683 | − | 0.632350i | \(-0.217909\pi\) |
−0.488221 | + | 0.872720i | \(0.662354\pi\) | |||||||
\(312\) | −4.98114 | − | 3.05079i | −0.282002 | − | 0.172717i | ||||
\(313\) | −22.3439 | − | 8.13252i | −1.26295 | − | 0.459677i | −0.378194 | − | 0.925726i | \(-0.623455\pi\) |
−0.884759 | + | 0.466049i | \(0.845677\pi\) | |||||||
\(314\) | 8.58977 | − | 14.8779i | 0.484749 | − | 0.839609i | ||||
\(315\) | 4.09218 | − | 28.0671i | 0.230568 | − | 1.58140i | ||||
\(316\) | −1.72989 | − | 2.99625i | −0.0973138 | − | 0.168552i | ||||
\(317\) | 4.58962 | + | 26.0290i | 0.257779 | + | 1.46194i | 0.788838 | + | 0.614601i | \(0.210683\pi\) |
−0.531060 | + | 0.847334i | \(0.678206\pi\) | |||||||
\(318\) | −9.27885 | + | 10.4930i | −0.520332 | + | 0.588416i | ||||
\(319\) | 7.24460 | − | 2.63682i | 0.405620 | − | 0.147634i | ||||
\(320\) | 2.73746 | + | 2.29701i | 0.153029 | + | 0.128407i | ||||
\(321\) | 3.86506 | − | 9.81901i | 0.215726 | − | 0.548044i | ||||
\(322\) | 1.53497 | + | 5.86059i | 0.0855407 | + | 0.326598i | ||||
\(323\) | 15.5284 | 0.864024 | ||||||||
\(324\) | −5.28299 | + | 7.28629i | −0.293500 | + | 0.404794i | ||||
\(325\) | 13.1017 | − | 22.6927i | 0.726749 | − | 1.25877i | ||||
\(326\) | 10.3832 | + | 3.77916i | 0.575070 | + | 0.209308i | ||||
\(327\) | 18.7278 | − | 2.80354i | 1.03565 | − | 0.155036i | ||||
\(328\) | 7.15097 | − | 2.60274i | 0.394846 | − | 0.143712i | ||||
\(329\) | −7.62413 | + | 3.50299i | −0.420332 | + | 0.193126i | ||||
\(330\) | −25.7072 | − | 5.22369i | −1.41513 | − | 0.287554i | ||||
\(331\) | 1.36963 | + | 7.76758i | 0.0752819 | + | 0.426945i | 0.999034 | + | 0.0439529i | \(0.0139951\pi\) |
−0.923752 | + | 0.382992i | \(0.874894\pi\) | |||||||
\(332\) | 1.58590 | 0.0870374 | ||||||||
\(333\) | −4.82736 | + | 20.9560i | −0.264538 | + | 1.14838i | ||||
\(334\) | 19.7830 | 1.08248 | ||||||||
\(335\) | −5.11741 | + | 4.29402i | −0.279594 | + | 0.234607i | ||||
\(336\) | 3.83494 | − | 2.50864i | 0.209213 | − | 0.136857i | ||||
\(337\) | −0.904111 | + | 5.12747i | −0.0492501 | + | 0.279311i | −0.999480 | − | 0.0322377i | \(-0.989737\pi\) |
0.950230 | + | 0.311549i | \(0.100848\pi\) | |||||||
\(338\) | 1.52885 | − | 0.556457i | 0.0831587 | − | 0.0302673i | ||||
\(339\) | 0.220854 | − | 8.51306i | 0.0119952 | − | 0.462366i | ||||
\(340\) | −1.59576 | − | 9.05003i | −0.0865425 | − | 0.490807i | ||||
\(341\) | 43.7820 | 2.37093 | ||||||||
\(342\) | 18.0909 | + | 0.939295i | 0.978243 | + | 0.0507912i | ||||
\(343\) | 12.8724 | + | 13.3155i | 0.695044 | + | 0.718967i | ||||
\(344\) | 2.62422 | + | 0.955139i | 0.141489 | + | 0.0514976i | ||||
\(345\) | 13.8889 | + | 2.82223i | 0.747755 | + | 0.151944i | ||||
\(346\) | −18.2070 | + | 6.62682i | −0.978817 | + | 0.356260i | ||||
\(347\) | −0.607976 | + | 3.44800i | −0.0326379 | + | 0.185098i | −0.996768 | − | 0.0803304i | \(-0.974402\pi\) |
0.964130 | + | 0.265429i | \(0.0855136\pi\) | |||||||
\(348\) | 1.96194 | + | 2.46527i | 0.105171 | + | 0.132152i | ||||
\(349\) | −0.112862 | − | 0.640070i | −0.00604134 | − | 0.0342622i | 0.981638 | − | 0.190753i | \(-0.0610929\pi\) |
−0.987679 | + | 0.156491i | \(0.949982\pi\) | |||||||
\(350\) | 11.6961 | + | 16.9058i | 0.625181 | + | 0.903654i | ||||
\(351\) | 4.69524 | + | 16.8827i | 0.250613 | + | 0.901133i | ||||
\(352\) | −2.11912 | − | 3.67042i | −0.112949 | − | 0.195634i | ||||
\(353\) | −8.02159 | − | 2.91962i | −0.426946 | − | 0.155396i | 0.119605 | − | 0.992822i | \(-0.461837\pi\) |
−0.546551 | + | 0.837426i | \(0.684060\pi\) | |||||||
\(354\) | 10.9088 | − | 1.63304i | 0.579795 | − | 0.0867949i | ||||
\(355\) | 18.1381 | + | 15.2197i | 0.962670 | + | 0.807776i | ||||
\(356\) | 3.95733 | + | 3.32060i | 0.209738 | + | 0.175991i | ||||
\(357\) | −11.7014 | − | 1.39722i | −0.619306 | − | 0.0739485i | ||||
\(358\) | 20.5381 | + | 7.47527i | 1.08547 | + | 0.395080i | ||||
\(359\) | 9.31447 | − | 16.1331i | 0.491599 | − | 0.851474i | −0.508354 | − | 0.861148i | \(-0.669746\pi\) |
0.999953 | + | 0.00967360i | \(0.00307925\pi\) | |||||||
\(360\) | −1.31167 | − | 10.6400i | −0.0691310 | − | 0.560776i | ||||
\(361\) | −8.73124 | − | 15.1229i | −0.459539 | − | 0.795944i | ||||
\(362\) | 4.66850 | + | 1.69919i | 0.245371 | + | 0.0893077i | ||||
\(363\) | 10.2841 | + | 6.29865i | 0.539774 | + | 0.330593i | ||||
\(364\) | 0.827759 | − | 8.88403i | 0.0433863 | − | 0.465650i | ||||
\(365\) | 7.55309 | − | 42.8357i | 0.395347 | − | 2.24212i | ||||
\(366\) | 0.234045 | − | 9.02153i | 0.0122337 | − | 0.471563i | ||||
\(367\) | −1.99519 | − | 11.3153i | −0.104148 | − | 0.590653i | −0.991557 | − | 0.129670i | \(-0.958608\pi\) |
0.887409 | − | 0.460983i | \(-0.152503\pi\) | |||||||
\(368\) | 1.14491 | + | 1.98304i | 0.0596824 | + | 0.103373i | ||||
\(369\) | −21.0192 | − | 8.91007i | −1.09422 | − | 0.463840i | ||||
\(370\) | −12.8080 | − | 22.1840i | −0.665854 | − | 1.15329i | ||||
\(371\) | −20.6356 | − | 5.65420i | −1.07135 | − | 0.293552i | ||||
\(372\) | 5.68149 | + | 16.9665i | 0.294572 | + | 0.879672i | ||||
\(373\) | −1.59415 | + | 9.04089i | −0.0825421 | + | 0.468119i | 0.915318 | + | 0.402732i | \(0.131939\pi\) |
−0.997860 | + | 0.0653873i | \(0.979172\pi\) | |||||||
\(374\) | −1.89260 | + | 10.7335i | −0.0978641 | + | 0.555015i | ||||
\(375\) | 16.9556 | − | 2.53824i | 0.875585 | − | 0.131074i | ||||
\(376\) | −2.42933 | + | 2.03845i | −0.125283 | + | 0.105125i | ||||
\(377\) | 6.13454 | 0.315945 | ||||||||
\(378\) | −13.5479 | − | 2.33559i | −0.696828 | − | 0.120130i | ||||
\(379\) | 29.4786 | 1.51421 | 0.757107 | − | 0.653291i | \(-0.226612\pi\) | ||||
0.757107 | + | 0.653291i | \(0.226612\pi\) | |||||||
\(380\) | −16.5300 | + | 13.8703i | −0.847969 | + | 0.711530i | ||||
\(381\) | 3.49631 | − | 8.88222i | 0.179121 | − | 0.455050i | ||||
\(382\) | 2.88585 | − | 16.3665i | 0.147653 | − | 0.837382i | ||||
\(383\) | 1.43914 | − | 8.16177i | 0.0735366 | − | 0.417047i | −0.925710 | − | 0.378234i | \(-0.876531\pi\) |
0.999247 | − | 0.0388125i | \(-0.0123575\pi\) | |||||||
\(384\) | 1.14738 | − | 1.29751i | 0.0585518 | − | 0.0662132i | ||||
\(385\) | −10.1527 | − | 38.7633i | −0.517428 | − | 1.97556i | ||||
\(386\) | 0.918281 | + | 1.59051i | 0.0467393 | + | 0.0809548i | ||||
\(387\) | −3.80712 | − | 7.46293i | −0.193527 | − | 0.379362i | ||||
\(388\) | −9.57894 | − | 16.5912i | −0.486297 | − | 0.842291i | ||||
\(389\) | 3.82567 | + | 21.6964i | 0.193969 | + | 1.10005i | 0.913879 | + | 0.405986i | \(0.133072\pi\) |
−0.719910 | + | 0.694067i | \(0.755817\pi\) | |||||||
\(390\) | −17.8001 | − | 10.9020i | −0.901345 | − | 0.552044i | ||||
\(391\) | 1.02253 | − | 5.79903i | 0.0517113 | − | 0.293270i | ||||
\(392\) | 6.02232 | + | 3.56815i | 0.304173 | + | 0.180219i | ||||
\(393\) | 0.131710 | − | 5.07691i | 0.00664390 | − | 0.256096i | ||||
\(394\) | 10.4106 | + | 3.78916i | 0.524480 | + | 0.190895i | ||||
\(395\) | −6.18176 | − | 10.7071i | −0.311038 | − | 0.538734i | ||||
\(396\) | −2.85417 | + | 12.3902i | −0.143427 | + | 0.622632i | ||||
\(397\) | 9.27464 | − | 16.0642i | 0.465481 | − | 0.806237i | −0.533742 | − | 0.845647i | \(-0.679215\pi\) |
0.999223 | + | 0.0394107i | \(0.0125481\pi\) | |||||||
\(398\) | 9.39483 | + | 3.41944i | 0.470920 | + | 0.171401i | ||||
\(399\) | 10.8969 | + | 25.4356i | 0.545527 | + | 1.27337i | ||||
\(400\) | 5.95212 | + | 4.99442i | 0.297606 | + | 0.249721i | ||||
\(401\) | 0.307478 | + | 0.258005i | 0.0153547 | + | 0.0128841i | 0.650433 | − | 0.759564i | \(-0.274588\pi\) |
−0.635078 | + | 0.772448i | \(0.719032\pi\) | |||||||
\(402\) | 2.01625 | + | 2.53351i | 0.100561 | + | 0.126360i | ||||
\(403\) | 32.7367 | + | 11.9152i | 1.63073 | + | 0.593537i | ||||
\(404\) | 4.22084 | + | 7.31071i | 0.209995 | + | 0.363721i | ||||
\(405\) | −18.8788 | + | 26.0376i | −0.938096 | + | 1.29382i | ||||
\(406\) | −2.05852 | + | 4.35029i | −0.102163 | + | 0.215901i | ||||
\(407\) | 5.27558 | + | 29.9193i | 0.261501 | + | 1.48305i | ||||
\(408\) | −4.40506 | + | 0.659435i | −0.218083 | + | 0.0326469i | ||||
\(409\) | −3.11053 | + | 17.6407i | −0.153806 | + | 0.872277i | 0.806063 | + | 0.591829i | \(0.201594\pi\) |
−0.959869 | + | 0.280448i | \(0.909517\pi\) | |||||||
\(410\) | 25.5540 | − | 9.30091i | 1.26202 | − | 0.459339i | ||||
\(411\) | −8.91008 | − | 26.6080i | −0.439502 | − | 1.31247i | ||||
\(412\) | −18.9437 | − | 6.89493i | −0.933288 | − | 0.339689i | ||||
\(413\) | 9.58627 | + | 13.8563i | 0.471710 | + | 0.681822i | ||||
\(414\) | 1.54204 | − | 6.69412i | 0.0757870 | − | 0.328998i | ||||
\(415\) | 5.66721 | 0.278193 | ||||||||
\(416\) | −0.585610 | − | 3.32116i | −0.0287119 | − | 0.162833i | ||||
\(417\) | 21.9926 | + | 13.4697i | 1.07698 | + | 0.659615i | ||||
\(418\) | 24.0488 | − | 8.75306i | 1.17627 | − | 0.428126i | ||||
\(419\) | −3.74670 | + | 21.2486i | −0.183038 | + | 1.03806i | 0.745412 | + | 0.666604i | \(0.232253\pi\) |
−0.928450 | + | 0.371457i | \(0.878858\pi\) | |||||||
\(420\) | 13.7042 | − | 8.96462i | 0.668695 | − | 0.437429i | ||||
\(421\) | 8.86652 | − | 7.43990i | 0.432128 | − | 0.362598i | −0.400626 | − | 0.916242i | \(-0.631207\pi\) |
0.832754 | + | 0.553643i | \(0.186763\pi\) | |||||||
\(422\) | −20.1892 | −0.982794 | ||||||||
\(423\) | 9.50099 | + | 0.493300i | 0.461954 | + | 0.0239851i | ||||
\(424\) | −8.08701 | −0.392740 | ||||||||
\(425\) | −3.46970 | − | 19.6777i | −0.168305 | − | 0.954507i | ||||
\(426\) | 7.60237 | − | 8.59712i | 0.368336 | − | 0.416532i | ||||
\(427\) | 12.5263 | − | 5.75536i | 0.606192 | − | 0.278521i | ||||
\(428\) | 5.72497 | − | 2.08372i | 0.276727 | − | 0.100720i | ||||
\(429\) | 15.4158 | + | 19.3707i | 0.744281 | + | 0.935224i | ||||
\(430\) | 9.37768 | + | 3.41320i | 0.452232 | + | 0.164599i | ||||
\(431\) | −12.2662 | + | 21.2456i | −0.590840 | + | 1.02336i | 0.403280 | + | 0.915077i | \(0.367870\pi\) |
−0.994120 | + | 0.108288i | \(0.965463\pi\) | |||||||
\(432\) | −5.17187 | + | 0.501796i | −0.248832 | + | 0.0241427i | ||||
\(433\) | 16.3713 | 0.786753 | 0.393377 | − | 0.919377i | \(-0.371307\pi\) | ||||
0.393377 | + | 0.919377i | \(0.371307\pi\) | |||||||
\(434\) | −19.4348 | + | 19.2168i | −0.932899 | + | 0.922437i | ||||
\(435\) | 7.01102 | + | 8.80966i | 0.336152 | + | 0.422391i | ||||
\(436\) | 8.37515 | + | 7.02759i | 0.401097 | + | 0.336560i | ||||
\(437\) | −12.9930 | + | 4.72906i | −0.621538 | + | 0.226222i | ||||
\(438\) | −20.6602 | − | 4.19814i | −0.987183 | − | 0.200595i | ||||
\(439\) | 3.65877 | + | 20.7499i | 0.174623 | + | 0.990338i | 0.938578 | + | 0.345068i | \(0.112144\pi\) |
−0.763954 | + | 0.645270i | \(0.776745\pi\) | |||||||
\(440\) | −7.57268 | − | 13.1163i | −0.361013 | − | 0.625294i | ||||
\(441\) | −5.92271 | − | 20.1475i | −0.282034 | − | 0.959404i | ||||
\(442\) | −4.33623 | + | 7.51057i | −0.206253 | + | 0.357241i | ||||
\(443\) | −18.9032 | − | 6.88019i | −0.898117 | − | 0.326888i | −0.148619 | − | 0.988895i | \(-0.547483\pi\) |
−0.749498 | + | 0.662007i | \(0.769705\pi\) | |||||||
\(444\) | −10.9098 | + | 5.92697i | −0.517757 | + | 0.281282i | ||||
\(445\) | 14.1416 | + | 11.8662i | 0.670374 | + | 0.562511i | ||||
\(446\) | −23.0056 | + | 8.37336i | −1.08935 | + | 0.396490i | ||||
\(447\) | 10.6662 | + | 6.53268i | 0.504493 | + | 0.308985i | ||||
\(448\) | 2.55170 | + | 0.699171i | 0.120556 | + | 0.0330327i | ||||
\(449\) | 6.10832 | − | 10.5799i | 0.288270 | − | 0.499298i | −0.685127 | − | 0.728423i | \(-0.740253\pi\) |
0.973397 | + | 0.229126i | \(0.0735867\pi\) | |||||||
\(450\) | −2.85199 | − | 23.1347i | −0.134444 | − | 1.09058i | ||||
\(451\) | −32.2526 | −1.51871 | ||||||||
\(452\) | 3.76639 | − | 3.16038i | 0.177156 | − | 0.148652i | ||||
\(453\) | 9.37080 | − | 10.5969i | 0.440279 | − | 0.497888i | ||||
\(454\) | −10.9123 | − | 9.15652i | −0.512141 | − | 0.429737i | ||||
\(455\) | 2.95800 | − | 31.7471i | 0.138673 | − | 1.48833i | ||||
\(456\) | 6.51277 | + | 8.18360i | 0.304988 | + | 0.383232i | ||||
\(457\) | −14.7782 | + | 12.4004i | −0.691295 | + | 0.580065i | −0.919282 | − | 0.393599i | \(-0.871230\pi\) |
0.227988 | + | 0.973664i | \(0.426785\pi\) | |||||||
\(458\) | −9.67848 | + | 16.7636i | −0.452245 | + | 0.783312i | ||||
\(459\) | 11.0179 | + | 7.56055i | 0.514269 | + | 0.352896i | ||||
\(460\) | 4.09133 | + | 7.08639i | 0.190759 | + | 0.330405i | ||||
\(461\) | −2.70552 | − | 15.3438i | −0.126009 | − | 0.714630i | −0.980704 | − | 0.195500i | \(-0.937367\pi\) |
0.854695 | − | 0.519130i | \(-0.173744\pi\) | |||||||
\(462\) | −18.9096 | + | 4.43201i | −0.879754 | + | 0.206196i | ||||
\(463\) | 11.9099 | − | 4.33484i | 0.553499 | − | 0.201457i | −0.0501015 | − | 0.998744i | \(-0.515954\pi\) |
0.603600 | + | 0.797287i | \(0.293732\pi\) | |||||||
\(464\) | −0.315874 | + | 1.79141i | −0.0146641 | + | 0.0831642i | ||||
\(465\) | 20.3029 | + | 60.6299i | 0.941522 | + | 2.81164i | ||||
\(466\) | −11.0753 | + | 9.29325i | −0.513052 | + | 0.430501i | ||||
\(467\) | 1.22127 | − | 2.11530i | 0.0565135 | − | 0.0978842i | −0.836385 | − | 0.548143i | \(-0.815335\pi\) |
0.892898 | + | 0.450259i | \(0.148668\pi\) | |||||||
\(468\) | −5.50609 | + | 8.48765i | −0.254519 | + | 0.392342i | ||||
\(469\) | −2.11550 | + | 4.47071i | −0.0976846 | + | 0.206438i | ||||
\(470\) | −8.68122 | + | 7.28441i | −0.400435 | + | 0.336005i | ||||
\(471\) | −25.3748 | − | 15.5412i | −1.16921 | − | 0.716102i | ||||
\(472\) | 4.87845 | + | 4.09351i | 0.224549 | + | 0.188419i | ||||
\(473\) | −9.06680 | − | 7.60795i | −0.416892 | − | 0.349814i | ||||
\(474\) | −5.26562 | + | 2.86065i | −0.241858 | + | 0.131394i | ||||
\(475\) | −35.9414 | + | 30.1584i | −1.64910 | + | 1.38376i | ||||
\(476\) | −3.87102 | − | 5.59528i | −0.177428 | − | 0.256459i | ||||
\(477\) | 17.7514 | + | 16.5374i | 0.812782 | + | 0.757194i | ||||
\(478\) | 2.21471 | − | 3.83599i | 0.101299 | − | 0.175454i | ||||
\(479\) | −27.8263 | + | 23.3490i | −1.27142 | + | 1.06684i | −0.277048 | + | 0.960856i | \(0.589356\pi\) |
−0.994367 | + | 0.105988i | \(0.966200\pi\) | |||||||
\(480\) | 4.10016 | − | 4.63665i | 0.187146 | − | 0.211633i | ||||
\(481\) | −4.19782 | + | 23.8070i | −0.191404 | + | 1.08551i | ||||
\(482\) | −6.97073 | + | 2.53714i | −0.317508 | + | 0.115563i | ||||
\(483\) | 10.2164 | − | 2.39450i | 0.464861 | − | 0.108954i | ||||
\(484\) | 1.20905 | + | 6.85686i | 0.0549568 | + | 0.311676i | ||||
\(485\) | −34.2304 | − | 59.2888i | −1.55432 | − | 2.69217i | ||||
\(486\) | 12.3787 | + | 9.47463i | 0.561508 | + | 0.429778i | ||||
\(487\) | −14.0709 | + | 24.3714i | −0.637611 | + | 1.10437i | 0.348344 | + | 0.937367i | \(0.386744\pi\) |
−0.985955 | + | 0.167008i | \(0.946589\pi\) | |||||||
\(488\) | 3.99135 | − | 3.34914i | 0.180680 | − | 0.151608i | ||||
\(489\) | 7.00990 | − | 17.8083i | 0.316999 | − | 0.805321i | ||||
\(490\) | 21.5208 | + | 12.7508i | 0.972210 | + | 0.576022i | ||||
\(491\) | −20.3127 | − | 17.0443i | −0.916698 | − | 0.769201i | 0.0566838 | − | 0.998392i | \(-0.481947\pi\) |
−0.973381 | + | 0.229192i | \(0.926392\pi\) | |||||||
\(492\) | −4.18534 | − | 12.4986i | −0.188690 | − | 0.563480i | ||||
\(493\) | 3.58345 | − | 3.00687i | 0.161391 | − | 0.135423i | ||||
\(494\) | 20.3639 | 0.916216 | ||||||||
\(495\) | −10.1994 | + | 44.2765i | −0.458429 | + | 1.99008i | ||||
\(496\) | −5.16512 | + | 8.94625i | −0.231921 | + | 0.401698i | ||||
\(497\) | 16.9072 | + | 4.63262i | 0.758392 | + | 0.207801i | ||||
\(498\) | 0.0712376 | − | 2.74593i | 0.00319223 | − | 0.123048i | ||||
\(499\) | −15.2890 | + | 5.56474i | −0.684429 | + | 0.249112i | −0.660748 | − | 0.750608i | \(-0.729761\pi\) |
−0.0236811 | + | 0.999720i | \(0.507539\pi\) | |||||||
\(500\) | 7.58263 | + | 6.36258i | 0.339105 | + | 0.284543i | ||||
\(501\) | 0.888641 | − | 34.2536i | 0.0397016 | − | 1.53034i | ||||
\(502\) | 14.6979 | + | 5.34959i | 0.655998 | + | 0.238764i | ||||
\(503\) | 12.7106 | − | 22.0155i | 0.566739 | − | 0.981621i | −0.430147 | − | 0.902759i | \(-0.641538\pi\) |
0.996886 | − | 0.0788616i | \(-0.0251285\pi\) | |||||||
\(504\) | −4.17136 | − | 6.75276i | −0.185807 | − | 0.300792i | ||||
\(505\) | 15.0832 | + | 26.1249i | 0.671193 | + | 1.16254i | ||||
\(506\) | −1.68521 | − | 9.55733i | −0.0749169 | − | 0.424875i | ||||
\(507\) | −0.894813 | − | 2.67216i | −0.0397400 | − | 0.118675i | ||||
\(508\) | 5.17878 | − | 1.88492i | 0.229771 | − | 0.0836299i | ||||
\(509\) | 22.4015 | + | 18.7971i | 0.992928 | + | 0.833166i | 0.985989 | − | 0.166810i | \(-0.0533467\pi\) |
0.00693932 | + | 0.999976i | \(0.497791\pi\) | |||||||
\(510\) | −15.7415 | + | 2.35649i | −0.697046 | + | 0.104347i | ||||
\(511\) | −8.15945 | − | 31.1531i | −0.360953 | − | 1.37813i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 2.43899 | − | 31.2816i | 0.107684 | − | 1.38112i | ||||
\(514\) | 1.71892 | − | 2.97726i | 0.0758184 | − | 0.131321i | ||||
\(515\) | −67.6953 | − | 24.6391i | −2.98301 | − | 1.08573i | ||||
\(516\) | 1.77167 | − | 4.50085i | 0.0779935 | − | 0.198139i | ||||
\(517\) | 12.6300 | − | 4.59694i | 0.555466 | − | 0.202173i | ||||
\(518\) | −15.4740 | − | 10.9656i | −0.679890 | − | 0.481801i | ||||
\(519\) | 10.6563 | + | 31.8226i | 0.467759 | + | 1.39686i | ||||
\(520\) | −2.09268 | − | 11.8682i | −0.0917701 | − | 0.520454i | ||||
\(521\) | −32.0183 | −1.40275 | −0.701375 | − | 0.712793i | \(-0.747430\pi\) | ||||
−0.701375 | + | 0.712793i | \(0.747430\pi\) | |||||||
\(522\) | 4.35667 | − | 3.28630i | 0.190686 | − | 0.143838i | ||||
\(523\) | −11.4164 | −0.499203 | −0.249602 | − | 0.968349i | \(-0.580300\pi\) | ||||
−0.249602 | + | 0.968349i | \(0.580300\pi\) | |||||||
\(524\) | 2.24615 | − | 1.88474i | 0.0981236 | − | 0.0823354i | ||||
\(525\) | 29.7973 | − | 19.4920i | 1.30046 | − | 0.850699i | ||||
\(526\) | 3.20019 | − | 18.1492i | 0.139535 | − | 0.791343i | ||||
\(527\) | 24.9632 | − | 9.08586i | 1.08741 | − | 0.395786i | ||||
\(528\) | −6.45040 | + | 3.50431i | −0.280718 | + | 0.152506i | ||||
\(529\) | −3.08343 | − | 17.4870i | −0.134062 | − | 0.760304i | ||||
\(530\) | −28.8990 | −1.25529 | ||||||||
\(531\) | −2.33753 | − | 18.9616i | −0.101440 | − | 0.822862i | ||||
\(532\) | −6.83335 | + | 14.4410i | −0.296263 | + | 0.626097i | ||||
\(533\) | −24.1159 | − | 8.77746i | −1.04457 | − | 0.380194i | ||||
\(534\) | 5.92727 | − | 6.70284i | 0.256498 | − | 0.290060i | ||||
\(535\) | 20.4582 | − | 7.44618i | 0.884486 | − | 0.321927i | ||||
\(536\) | −0.324618 | + | 1.84100i | −0.0140213 | + | 0.0795190i | ||||
\(537\) | 13.8657 | − | 35.2253i | 0.598351 | − | 1.52008i | ||||
\(538\) | −0.904960 | − | 5.13228i | −0.0390156 | − | 0.221268i | ||||
\(539\) | −18.8125 | − | 22.9404i | −0.810311 | − | 0.988111i | ||||
\(540\) | −18.4817 | + | 1.79317i | −0.795326 | + | 0.0771658i | ||||
\(541\) | −8.61153 | − | 14.9156i | −0.370239 | − | 0.641272i | 0.619363 | − | 0.785104i | \(-0.287391\pi\) |
−0.989602 | + | 0.143832i | \(0.954057\pi\) | |||||||
\(542\) | −13.9551 | − | 5.07925i | −0.599424 | − | 0.218173i | ||||
\(543\) | 3.15181 | − | 8.00703i | 0.135257 | − | 0.343615i | ||||
\(544\) | −1.96996 | − | 1.65300i | −0.0844615 | − | 0.0708716i | ||||
\(545\) | 29.9287 | + | 25.1131i | 1.28200 | + | 1.07573i | ||||
\(546\) | −15.3452 | − | 1.83230i | −0.656715 | − | 0.0784154i | ||||
\(547\) | 17.2209 | + | 6.26790i | 0.736313 | + | 0.267996i | 0.682835 | − | 0.730573i | \(-0.260747\pi\) |
0.0534785 | + | 0.998569i | \(0.482969\pi\) | |||||||
\(548\) | 8.10027 | − | 14.0301i | 0.346026 | − | 0.599335i | ||||
\(549\) | −15.6100 | − | 0.810484i | −0.666218 | − | 0.0345906i | ||||
\(550\) | −16.4654 | − | 28.5190i | −0.702088 | − | 1.21605i | ||||
\(551\) | −10.3217 | − | 3.75680i | −0.439721 | − | 0.160045i | ||||
\(552\) | 3.48499 | − | 1.89329i | 0.148331 | − | 0.0805838i | ||||
\(553\) | −7.46855 | − | 5.29255i | −0.317595 | − | 0.225062i | ||||
\(554\) | −1.10140 | + | 6.24637i | −0.0467941 | + | 0.265383i | ||||
\(555\) | −38.9863 | + | 21.1801i | −1.65487 | + | 0.899044i | ||||
\(556\) | 2.58556 | + | 14.6635i | 0.109652 | + | 0.621869i | ||||
\(557\) | −16.4685 | − | 28.5242i | −0.697792 | − | 1.20861i | −0.969230 | − | 0.246155i | \(-0.920833\pi\) |
0.271438 | − | 0.962456i | \(-0.412501\pi\) | |||||||
\(558\) | 29.6322 | − | 9.07520i | 1.25443 | − | 0.384184i | ||||
\(559\) | −4.70894 | − | 8.15612i | −0.199167 | − | 0.344967i | ||||
\(560\) | 9.11851 | + | 2.49849i | 0.385327 | + | 0.105581i | ||||
\(561\) | 18.4997 | + | 3.75912i | 0.781057 | + | 0.158710i | ||||
\(562\) | 1.47717 | − | 8.37745i | 0.0623107 | − | 0.353381i | ||||
\(563\) | −2.82269 | + | 16.0083i | −0.118962 | + | 0.674668i | 0.865750 | + | 0.500477i | \(0.166842\pi\) |
−0.984712 | + | 0.174191i | \(0.944269\pi\) | |||||||
\(564\) | 3.42038 | + | 4.29787i | 0.144024 | + | 0.180973i | ||||
\(565\) | 13.4592 | − | 11.2936i | 0.566234 | − | 0.475126i | ||||
\(566\) | 5.27518 | 0.221732 | ||||||||
\(567\) | −4.65256 | + | 23.3528i | −0.195389 | + | 0.980726i | ||||
\(568\) | 6.62587 | 0.278015 | ||||||||
\(569\) | −10.7885 | + | 9.05266i | −0.452279 | + | 0.379507i | −0.840281 | − | 0.542152i | \(-0.817610\pi\) |
0.388002 | + | 0.921659i | \(0.373165\pi\) | |||||||
\(570\) | 23.2734 | + | 29.2441i | 0.974817 | + | 1.22490i | ||||
\(571\) | −1.10444 | + | 6.26360i | −0.0462194 | + | 0.262124i | −0.999157 | − | 0.0410418i | \(-0.986932\pi\) |
0.952938 | + | 0.303165i | \(0.0980434\pi\) | |||||||
\(572\) | −2.48195 | + | 14.0758i | −0.103776 | + | 0.588541i | ||||
\(573\) | −28.2084 | − | 5.73194i | −1.17842 | − | 0.239455i | ||||
\(574\) | 14.3169 | − | 14.1563i | 0.597575 | − | 0.590873i | ||||
\(575\) | 8.89586 | + | 15.4081i | 0.370983 | + | 0.642561i | ||||
\(576\) | −2.19505 | − | 2.04493i | −0.0914606 | − | 0.0852054i | ||||
\(577\) | −4.40925 | − | 7.63704i | −0.183559 | − | 0.317934i | 0.759531 | − | 0.650471i | \(-0.225429\pi\) |
−0.943090 | + | 0.332537i | \(0.892095\pi\) | |||||||
\(578\) | −1.80366 | − | 10.2291i | −0.0750223 | − | 0.425473i | ||||
\(579\) | 2.79517 | − | 1.51853i | 0.116163 | − | 0.0631079i | ||||
\(580\) | −1.12878 | + | 6.40162i | −0.0468699 | + | 0.265813i | ||||
\(581\) | 3.81271 | − | 1.75179i | 0.158178 | − | 0.0726764i | ||||
\(582\) | −29.1574 | + | 15.8404i | −1.20861 | + | 0.656604i | ||||
\(583\) | 32.2076 | + | 11.7226i | 1.33390 | + | 0.485501i | ||||
\(584\) | −6.08597 | − | 10.5412i | −0.251839 | − | 0.436198i | ||||
\(585\) | −19.6760 | + | 30.3307i | −0.813504 | + | 1.25402i | ||||
\(586\) | −12.8854 | + | 22.3182i | −0.532293 | + | 0.921958i | ||||
\(587\) | −35.6777 | − | 12.9856i | −1.47258 | − | 0.535974i | −0.523777 | − | 0.851855i | \(-0.675478\pi\) |
−0.948799 | + | 0.315882i | \(0.897700\pi\) | |||||||
\(588\) | 6.44865 | − | 10.2672i | 0.265938 | − | 0.423411i | ||||
\(589\) | −47.7845 | − | 40.0960i | −1.96893 | − | 1.65213i | ||||
\(590\) | 17.4332 | + | 14.6282i | 0.717713 | + | 0.602233i | ||||
\(591\) | 7.02845 | − | 17.8555i | 0.289112 | − | 0.734476i | ||||
\(592\) | −6.73598 | − | 2.45170i | −0.276847 | − | 0.100764i | ||||
\(593\) | −10.9811 | − | 19.0198i | −0.450939 | − | 0.781049i | 0.547506 | − | 0.836802i | \(-0.315578\pi\) |
−0.998445 | + | 0.0557527i | \(0.982244\pi\) | |||||||
\(594\) | 21.3251 | + | 5.49847i | 0.874978 | + | 0.225605i | ||||
\(595\) | −13.8331 | − | 19.9948i | −0.567103 | − | 0.819706i | ||||
\(596\) | 1.25397 | + | 7.11163i | 0.0513647 | + | 0.291304i | ||||
\(597\) | 6.34266 | − | 16.1133i | 0.259588 | − | 0.659472i | ||||
\(598\) | 1.34094 | − | 7.60483i | 0.0548350 | − | 0.310985i | ||||
\(599\) | −36.5041 | + | 13.2864i | −1.49152 | + | 0.542868i | −0.953849 | − | 0.300288i | \(-0.902917\pi\) |
−0.537669 | + | 0.843156i | \(0.680695\pi\) | |||||||
\(600\) | 8.91505 | − | 10.0816i | 0.363956 | − | 0.411578i | ||||
\(601\) | 35.2616 | + | 12.8342i | 1.43835 | + | 0.523516i | 0.939312 | − | 0.343064i | \(-0.111465\pi\) |
0.499037 | + | 0.866581i | \(0.333687\pi\) | |||||||
\(602\) | 7.36403 | − | 0.602445i | 0.300135 | − | 0.0245538i | ||||
\(603\) | 4.47726 | − | 3.37727i | 0.182328 | − | 0.137533i | ||||
\(604\) | 8.16716 | 0.332317 | ||||||||
\(605\) | 4.32055 | + | 24.5030i | 0.175655 | + | 0.996190i | ||||
\(606\) | 12.8479 | − | 6.97986i | 0.521909 | − | 0.283537i | ||||
\(607\) | −7.93473 | + | 2.88800i | −0.322061 | + | 0.117220i | −0.497991 | − | 0.867182i | \(-0.665929\pi\) |
0.175931 | + | 0.984403i | \(0.443707\pi\) | |||||||
\(608\) | −1.04856 | + | 5.94668i | −0.0425247 | + | 0.241170i | ||||
\(609\) | 7.43992 | + | 3.75967i | 0.301481 | + | 0.152350i | ||||
\(610\) | 14.2631 | − | 11.9682i | 0.577497 | − | 0.484577i | ||||
\(611\) | 10.6947 | 0.432663 | ||||||||
\(612\) | 0.943917 | + | 7.65685i | 0.0381556 | + | 0.309510i | ||||
\(613\) | 31.0659 | 1.25474 | 0.627370 | − | 0.778721i | \(-0.284131\pi\) | ||||
0.627370 | + | 0.778721i | \(0.284131\pi\) | |||||||
\(614\) | 4.42865 | + | 25.1161i | 0.178726 | + | 1.01360i | ||||
\(615\) | −14.9564 | − | 44.6638i | −0.603098 | − | 1.80102i | ||||
\(616\) | −9.14900 | − | 6.48339i | −0.368624 | − | 0.261223i | ||||
\(617\) | −1.58599 | + | 0.577253i | −0.0638495 | + | 0.0232393i | −0.373747 | − | 0.927531i | \(-0.621927\pi\) |
0.309898 | + | 0.950770i | \(0.399705\pi\) | |||||||
\(618\) | −12.7893 | + | 32.4907i | −0.514461 | + | 1.30697i | ||||
\(619\) | −10.8615 | − | 3.95325i | −0.436560 | − | 0.158895i | 0.114385 | − | 0.993436i | \(-0.463510\pi\) |
−0.550945 | + | 0.834542i | \(0.685732\pi\) | |||||||
\(620\) | −18.4576 | + | 31.9695i | −0.741275 | + | 1.28393i | ||||
\(621\) | −11.5214 | − | 2.97068i | −0.462338 | − | 0.119209i | ||||
\(622\) | 6.59468 | 0.264422 | ||||||||
\(623\) | 13.1819 | + | 3.61187i | 0.528121 | + | 0.144707i | ||||
\(624\) | −5.77678 | + | 0.864780i | −0.231256 | + | 0.0346189i | ||||
\(625\) | −2.66405 | − | 2.23540i | −0.106562 | − | 0.0894161i | ||||
\(626\) | −22.3439 | + | 8.13252i | −0.893042 | + | 0.325041i | ||||
\(627\) | −14.0754 | − | 42.0330i | −0.562117 | − | 1.67864i | ||||
\(628\) | −2.98320 | − | 16.9185i | −0.119042 | − | 0.675123i | ||||
\(629\) | 9.21699 | + | 15.9643i | 0.367506 | + | 0.636538i | ||||
\(630\) | −14.9064 | − | 24.1310i | −0.593884 | − | 0.961403i | ||||
\(631\) | −20.7060 | + | 35.8638i | −0.824291 | + | 1.42771i | 0.0781684 | + | 0.996940i | \(0.475093\pi\) |
−0.902460 | + | 0.430774i | \(0.858241\pi\) | |||||||
\(632\) | −3.25112 | − | 1.18331i | −0.129323 | − | 0.0470696i | ||||
\(633\) | −0.906886 | + | 34.9569i | −0.0360455 | + | 1.38941i | ||||
\(634\) | 20.2470 | + | 16.9892i | 0.804110 | + | 0.674729i | ||||
\(635\) | 18.5064 | − | 6.73578i | 0.734404 | − | 0.267301i | ||||
\(636\) | −0.363264 | + | 14.0024i | −0.0144044 | + | 0.555231i | ||||
\(637\) | −7.82329 | − | 22.2727i | −0.309970 | − | 0.882478i | ||||
\(638\) | 3.85477 | − | 6.67666i | 0.152612 | − | 0.264332i | ||||
\(639\) | −14.5441 | − | 13.5494i | −0.575357 | − | 0.536007i | ||||
\(640\) | 3.57351 | 0.141255 | ||||||||
\(641\) | 37.1288 | − | 31.1547i | 1.46650 | − | 1.23054i | 0.547184 | − | 0.837012i | \(-0.315700\pi\) |
0.919314 | − | 0.393526i | \(-0.128745\pi\) | |||||||
\(642\) | −3.35073 | − | 10.0062i | −0.132243 | − | 0.394914i | ||||
\(643\) | −14.2836 | − | 11.9854i | −0.563291 | − | 0.472658i | 0.316121 | − | 0.948719i | \(-0.397620\pi\) |
−0.879412 | + | 0.476061i | \(0.842064\pi\) | |||||||
\(644\) | 4.94297 | + | 3.50281i | 0.194780 | + | 0.138030i | ||||
\(645\) | 6.33108 | − | 16.0838i | 0.249286 | − | 0.633300i | ||||
\(646\) | 11.8955 | − | 9.98147i | 0.468020 | − | 0.392716i | ||||
\(647\) | −7.77304 | + | 13.4633i | −0.305590 | + | 0.529297i | −0.977392 | − | 0.211433i | \(-0.932187\pi\) |
0.671803 | + | 0.740730i | \(0.265520\pi\) | |||||||
\(648\) | 0.636527 | + | 8.97746i | 0.0250051 | + | 0.352668i | ||||
\(649\) | −13.4953 | − | 23.3746i | −0.529738 | − | 0.917533i | ||||
\(650\) | −4.55016 | − | 25.8052i | −0.178472 | − | 1.01216i | ||||
\(651\) | 32.4003 | + | 34.5139i | 1.26987 | + | 1.35271i | ||||
\(652\) | 10.3832 | − | 3.77916i | 0.406636 | − | 0.148003i | ||||
\(653\) | −0.238128 | + | 1.35049i | −0.00931865 | + | 0.0528487i | −0.989113 | − | 0.147161i | \(-0.952986\pi\) |
0.979794 | + | 0.200010i | \(0.0640975\pi\) | |||||||
\(654\) | 12.5443 | − | 14.1856i | 0.490519 | − | 0.554702i | ||||
\(655\) | 8.02663 | − | 6.73515i | 0.313627 | − | 0.263164i | ||||
\(656\) | 3.80495 | − | 6.59037i | 0.148558 | − | 0.257311i | ||||
\(657\) | −8.19700 | + | 35.5839i | −0.319795 | + | 1.38826i | ||||
\(658\) | −3.58875 | + | 7.58414i | −0.139904 | + | 0.295661i | ||||
\(659\) | 21.0943 | − | 17.7002i | 0.821718 | − | 0.689503i | −0.131656 | − | 0.991295i | \(-0.542029\pi\) |
0.953374 | + | 0.301792i | \(0.0975850\pi\) | |||||||
\(660\) | −23.0506 | + | 12.5227i | −0.897242 | + | 0.487445i | ||||
\(661\) | −5.63017 | − | 4.72427i | −0.218988 | − | 0.183753i | 0.526693 | − | 0.850055i | \(-0.323432\pi\) |
−0.745682 | + | 0.666302i | \(0.767876\pi\) | |||||||
\(662\) | 6.04210 | + | 5.06993i | 0.234833 | + | 0.197048i | ||||
\(663\) | 12.8095 | + | 7.84541i | 0.497481 | + | 0.304691i | ||||
\(664\) | 1.21487 | − | 1.01940i | 0.0471460 | − | 0.0395602i | ||||
\(665\) | −24.4190 | + | 51.6050i | −0.946929 | + | 2.00116i | ||||
\(666\) | 9.77230 | + | 19.1562i | 0.378669 | + | 0.742288i | ||||
\(667\) | −2.08264 | + | 3.60723i | −0.0806400 | + | 0.139673i | ||||
\(668\) | 15.1547 | − | 12.7163i | 0.586351 | − | 0.492007i | ||||
\(669\) | 13.4648 | + | 40.2096i | 0.520580 | + | 1.55459i | ||||
\(670\) | −1.16002 | + | 6.57882i | −0.0448156 | + | 0.254162i | ||||
\(671\) | −20.7509 | + | 7.55271i | −0.801079 | + | 0.291569i | ||||
\(672\) | 1.32521 | − | 4.38678i | 0.0511212 | − | 0.169224i | ||||
\(673\) | −3.58323 | − | 20.3215i | −0.138123 | − | 0.783336i | −0.972634 | − | 0.232344i | \(-0.925361\pi\) |
0.834510 | − | 0.550992i | \(-0.185751\pi\) | |||||||
\(674\) | 2.60328 | + | 4.50902i | 0.100275 | + | 0.173681i | ||||
\(675\) | −40.1851 | + | 3.89893i | −1.54673 | + | 0.150070i | ||||
\(676\) | 0.813486 | − | 1.40900i | 0.0312879 | − | 0.0541923i | ||||
\(677\) | 24.7375 | − | 20.7572i | 0.950739 | − | 0.797765i | −0.0286825 | − | 0.999589i | \(-0.509131\pi\) |
0.979422 | + | 0.201823i | \(0.0646867\pi\) | |||||||
\(678\) | −5.30291 | − | 6.66335i | −0.203657 | − | 0.255904i | ||||
\(679\) | −41.3558 | − | 29.3065i | −1.58709 | − | 1.12468i | ||||
\(680\) | −7.03967 | − | 5.90699i | −0.269959 | − | 0.226523i | ||||
\(681\) | −16.3444 | + | 18.4830i | −0.626319 | + | 0.708271i | ||||
\(682\) | 33.5390 | − | 28.1425i | 1.28427 | − | 1.07763i | ||||
\(683\) | −22.3000 | −0.853286 | −0.426643 | − | 0.904420i | \(-0.640304\pi\) | ||||
−0.426643 | + | 0.904420i | \(0.640304\pi\) | |||||||
\(684\) | 14.4622 | − | 10.9091i | 0.552976 | − | 0.417118i | ||||
\(685\) | 28.9464 | − | 50.1366i | 1.10598 | − | 1.91562i | ||||
\(686\) | 18.4198 | + | 1.92602i | 0.703273 | + | 0.0735358i | ||||
\(687\) | 28.5909 | + | 17.5110i | 1.09081 | + | 0.668086i | ||||
\(688\) | 2.62422 | − | 0.955139i | 0.100048 | − | 0.0364143i | ||||
\(689\) | 20.8920 | + | 17.5305i | 0.795922 | + | 0.667858i | ||||
\(690\) | 12.4536 | − | 6.76569i | 0.474102 | − | 0.257565i | ||||
\(691\) | 16.0011 | + | 5.82393i | 0.608711 | + | 0.221553i | 0.627939 | − | 0.778262i | \(-0.283899\pi\) |
−0.0192281 | + | 0.999815i | \(0.506121\pi\) | |||||||
\(692\) | −9.68777 | + | 16.7797i | −0.368274 | + | 0.637869i | ||||
\(693\) | 6.82447 | + | 32.9404i | 0.259240 | + | 1.25130i | ||||
\(694\) | 1.75060 | + | 3.03212i | 0.0664517 | + | 0.115098i | ||||
\(695\) | 9.23953 | + | 52.4000i | 0.350475 | + | 1.98764i | ||||
\(696\) | 3.08758 | + | 0.627395i | 0.117034 | + | 0.0237813i | ||||
\(697\) | −18.3895 | + | 6.69322i | −0.696551 | + | 0.253524i | ||||
\(698\) | −0.497886 | − | 0.417776i | −0.0188453 | − | 0.0158131i | ||||
\(699\) | 15.5935 | + | 19.5939i | 0.589799 | + | 0.741110i | ||||
\(700\) | 19.8266 | + | 5.43252i | 0.749373 | + | 0.205330i | ||||
\(701\) | −4.91861 | −0.185773 | −0.0928867 | − | 0.995677i | \(-0.529609\pi\) | ||||
−0.0928867 | + | 0.995677i | \(0.529609\pi\) | |||||||
\(702\) | 14.4488 | + | 9.91488i | 0.545334 | + | 0.374213i | ||||
\(703\) | 21.6425 | − | 37.4860i | 0.816264 | − | 1.41381i | ||||
\(704\) | −3.98264 | − | 1.44956i | −0.150101 | − | 0.0546324i | ||||
\(705\) | 12.2228 | + | 15.3585i | 0.460336 | + | 0.578433i | ||||
\(706\) | −8.02159 | + | 2.91962i | −0.301897 | + | 0.109881i | ||||
\(707\) | 18.2229 | + | 12.9136i | 0.685342 | + | 0.485664i | ||||
\(708\) | 7.30692 | − | 8.26301i | 0.274611 | − | 0.310543i | ||||
\(709\) | −2.71149 | − | 15.3776i | −0.101832 | − | 0.577519i | −0.992438 | − | 0.122744i | \(-0.960831\pi\) |
0.890606 | − | 0.454775i | \(-0.150280\pi\) | |||||||
\(710\) | 23.6776 | 0.888604 | ||||||||
\(711\) | 4.71660 | + | 9.24576i | 0.176886 | + | 0.346743i | ||||
\(712\) | 5.16593 | 0.193601 | ||||||||
\(713\) | −18.1203 | + | 15.2047i | −0.678609 | + | 0.569420i | ||||
\(714\) | −9.86194 | + | 6.45122i | −0.369074 | + | 0.241431i | ||||
\(715\) | −8.86927 | + | 50.3001i | −0.331692 | + | 1.88112i | ||||
\(716\) | 20.5381 | − | 7.47527i | 0.767546 | − | 0.279364i | ||||
\(717\) | −6.54242 | − | 4.00701i | −0.244331 | − | 0.149645i | ||||
\(718\) | −3.23488 | − | 18.3459i | −0.120725 | − | 0.684664i | ||||
\(719\) | −19.9026 | −0.742240 | −0.371120 | − | 0.928585i | \(-0.621026\pi\) | ||||
−0.371120 | + | 0.928585i | \(0.621026\pi\) | |||||||
\(720\) | −7.84404 | − | 7.30757i | −0.292330 | − | 0.272337i | ||||
\(721\) | −53.1593 | + | 4.34891i | −1.97975 | + | 0.161962i | ||||
\(722\) | −16.4094 | − | 5.97252i | −0.610693 | − | 0.222274i | ||||
\(723\) | 4.07985 | + | 12.1836i | 0.151731 | + | 0.453112i | ||||
\(724\) | 4.66850 | − | 1.69919i | 0.173503 | − | 0.0631501i | ||||
\(725\) | −2.45432 | + | 13.9192i | −0.0911513 | + | 0.516945i | ||||
\(726\) | 11.9267 | − | 1.78543i | 0.442643 | − | 0.0662633i | ||||
\(727\) | 0.456609 | + | 2.58956i | 0.0169347 | + | 0.0960414i | 0.992104 | − | 0.125421i | \(-0.0400281\pi\) |
−0.975169 | + | 0.221462i | \(0.928917\pi\) | |||||||
\(728\) | −5.07645 | − | 7.33764i | −0.188146 | − | 0.271951i | ||||
\(729\) | 16.9611 | − | 21.0077i | 0.628188 | − | 0.778062i | ||||
\(730\) | −21.7483 | − | 37.6691i | −0.804939 | − | 1.39420i | ||||
\(731\) | −6.74846 | − | 2.45624i | −0.249601 | − | 0.0908473i | ||||
\(732\) | −5.61964 | − | 7.06134i | −0.207708 | − | 0.260995i | ||||
\(733\) | 32.4848 | + | 27.2579i | 1.19985 | + | 1.00680i | 0.999634 | + | 0.0270437i | \(0.00860933\pi\) |
0.200218 | + | 0.979751i | \(0.435835\pi\) | |||||||
\(734\) | −8.80172 | − | 7.38552i | −0.324877 | − | 0.272605i | ||||
\(735\) | 23.0443 | − | 36.6898i | 0.850002 | − | 1.35332i | ||||
\(736\) | 2.15172 | + | 0.783162i | 0.0793134 | + | 0.0288677i | ||||
\(737\) | 3.96147 | − | 6.86147i | 0.145923 | − | 0.252746i | ||||
\(738\) | −21.8289 | + | 6.68536i | −0.803533 | + | 0.246092i | ||||
\(739\) | −0.211003 | − | 0.365468i | −0.00776186 | − | 0.0134439i | 0.862118 | − | 0.506707i | \(-0.169137\pi\) |
−0.869880 | + | 0.493263i | \(0.835804\pi\) | |||||||
\(740\) | −24.0711 | − | 8.76116i | −0.884870 | − | 0.322067i | ||||
\(741\) | 0.914735 | − | 35.2595i | 0.0336036 | − | 1.29529i | ||||
\(742\) | −19.4422 | + | 8.93294i | −0.713747 | + | 0.327939i | ||||
\(743\) | −7.01750 | + | 39.7982i | −0.257447 | + | 1.46006i | 0.532265 | + | 0.846578i | \(0.321341\pi\) |
−0.789712 | + | 0.613477i | \(0.789770\pi\) | |||||||
\(744\) | 15.2581 | + | 9.34510i | 0.559390 | + | 0.342608i | ||||
\(745\) | 4.48108 | + | 25.4135i | 0.164174 | + | 0.931077i | ||||
\(746\) | 4.59018 | + | 7.95042i | 0.168058 | + | 0.291086i | ||||
\(747\) | −4.75129 | − | 0.246691i | −0.173841 | − | 0.00902596i | ||||
\(748\) | 5.44953 | + | 9.43887i | 0.199255 | + | 0.345119i | ||||
\(749\) | 11.4619 | − | 11.3334i | 0.418809 | − | 0.414112i | ||||
\(750\) | 11.3572 | − | 12.8433i | 0.414707 | − | 0.468970i | ||||
\(751\) | −3.92766 | + | 22.2748i | −0.143322 | + | 0.812821i | 0.825377 | + | 0.564582i | \(0.190963\pi\) |
−0.968699 | + | 0.248238i | \(0.920148\pi\) | |||||||
\(752\) | −0.550684 | + | 3.12308i | −0.0200814 | + | 0.113887i | ||||
\(753\) | 9.92286 | − | 25.2086i | 0.361609 | − | 0.918652i | ||||
\(754\) | 4.69933 | − | 3.94320i | 0.171139 | − | 0.143603i | ||||
\(755\) | 29.1854 | 1.06216 | ||||||||
\(756\) | −11.8796 | + | 6.91925i | −0.432056 | + | 0.251651i | ||||
\(757\) | −2.49660 | −0.0907406 | −0.0453703 | − | 0.998970i | \(-0.514447\pi\) | ||||
−0.0453703 | + | 0.998970i | \(0.514447\pi\) | |||||||
\(758\) | 22.5819 | − | 18.9485i | 0.820212 | − | 0.688240i | ||||
\(759\) | −16.6239 | + | 2.48859i | −0.603410 | + | 0.0903299i | ||||
\(760\) | −3.74704 | + | 21.2505i | −0.135919 | + | 0.770836i | ||||
\(761\) | 0.837007 | − | 4.74690i | 0.0303415 | − | 0.172075i | −0.965871 | − | 0.259022i | \(-0.916600\pi\) |
0.996213 | + | 0.0869467i | \(0.0277110\pi\) | |||||||
\(762\) | −3.03105 | − | 9.05156i | −0.109803 | − | 0.327903i | ||||
\(763\) | 27.8977 | + | 7.64403i | 1.00996 | + | 0.276732i | ||||
\(764\) | −8.30948 | − | 14.3924i | −0.300627 | − | 0.520700i | ||||
\(765\) | 3.37309 | + | 27.3618i | 0.121954 | + | 0.989268i | ||||
\(766\) | −4.14384 | − | 7.17734i | −0.149723 | − | 0.259328i | ||||
\(767\) | −3.72938 | − | 21.1504i | −0.134660 | − | 0.763695i | ||||
\(768\) | 0.0449194 | − | 1.73147i | 0.00162089 | − | 0.0624790i | ||||
\(769\) | 0.959984 | − | 5.44434i | 0.0346179 | − | 0.196328i | −0.962594 | − | 0.270947i | \(-0.912663\pi\) |