Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(10,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.bf (of order \(66\), degree \(20\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 61.12 | ||
Character | \(\chi\) | \(=\) | 483.61 |
Dual form | 483.2.bf.a.388.12 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{17}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.929110 | − | 0.730660i | −0.656980 | − | 0.516655i | 0.233104 | − | 0.972452i | \(-0.425112\pi\) |
−0.890084 | + | 0.455797i | \(0.849354\pi\) | |||||||
\(3\) | −0.814576 | − | 0.580057i | −0.470296 | − | 0.334896i | ||||
\(4\) | −0.142137 | − | 0.585896i | −0.0710684 | − | 0.292948i | ||||
\(5\) | −3.37356 | + | 0.650200i | −1.50870 | + | 0.290778i | −0.875504 | − | 0.483212i | \(-0.839470\pi\) |
−0.633198 | + | 0.773990i | \(0.718258\pi\) | |||||||
\(6\) | 0.333006 | + | 1.13411i | 0.135949 | + | 0.463000i | ||||
\(7\) | 2.36979 | + | 1.17647i | 0.895698 | + | 0.444664i | ||||
\(8\) | −1.27807 | + | 2.79857i | −0.451865 | + | 0.989445i | ||||
\(9\) | 0.327068 | + | 0.945001i | 0.109023 | + | 0.315000i | ||||
\(10\) | 3.60948 | + | 1.86082i | 1.14142 | + | 0.588442i | ||||
\(11\) | −2.39072 | − | 3.04005i | −0.720829 | − | 0.916608i | 0.278207 | − | 0.960521i | \(-0.410260\pi\) |
−0.999035 | + | 0.0439128i | \(0.986018\pi\) | |||||||
\(12\) | −0.224072 | + | 0.559704i | −0.0646840 | + | 0.161573i | ||||
\(13\) | 1.88551 | + | 2.93391i | 0.522946 | + | 0.813719i | 0.997797 | − | 0.0663469i | \(-0.0211344\pi\) |
−0.474851 | + | 0.880066i | \(0.657498\pi\) | |||||||
\(14\) | −1.34220 | − | 2.82458i | −0.358718 | − | 0.754902i | ||||
\(15\) | 3.12517 | + | 1.42722i | 0.806916 | + | 0.368506i | ||||
\(16\) | 2.16053 | − | 1.11383i | 0.540132 | − | 0.278458i | ||||
\(17\) | 1.19842 | + | 1.14269i | 0.290660 | + | 0.277144i | 0.821353 | − | 0.570421i | \(-0.193220\pi\) |
−0.530693 | + | 0.847564i | \(0.678068\pi\) | |||||||
\(18\) | 0.386592 | − | 1.11699i | 0.0911207 | − | 0.263276i | ||||
\(19\) | −1.99478 | + | 1.90202i | −0.457635 | + | 0.436354i | −0.883499 | − | 0.468433i | \(-0.844819\pi\) |
0.425864 | + | 0.904787i | \(0.359970\pi\) | |||||||
\(20\) | 0.860457 | + | 1.88414i | 0.192404 | + | 0.421306i | ||||
\(21\) | −1.24796 | − | 2.33294i | −0.272326 | − | 0.509089i | ||||
\(22\) | 4.57134i | 0.974613i | ||||||||
\(23\) | 4.73168 | − | 0.781824i | 0.986622 | − | 0.163022i | ||||
\(24\) | 2.66441 | − | 1.53830i | 0.543871 | − | 0.314004i | ||||
\(25\) | 6.31630 | − | 2.52866i | 1.26326 | − | 0.505733i | ||||
\(26\) | 0.391845 | − | 4.10359i | 0.0768471 | − | 0.804780i | ||||
\(27\) | 0.281733 | − | 0.959493i | 0.0542195 | − | 0.184655i | ||||
\(28\) | 0.352454 | − | 1.55567i | 0.0666076 | − | 0.293994i | ||||
\(29\) | 4.78405 | − | 1.40472i | 0.888376 | − | 0.260851i | 0.194463 | − | 0.980910i | \(-0.437703\pi\) |
0.693913 | + | 0.720059i | \(0.255885\pi\) | |||||||
\(30\) | −1.86082 | − | 3.60948i | −0.339737 | − | 0.658998i | ||||
\(31\) | −0.359307 | − | 3.76283i | −0.0645334 | − | 0.675825i | −0.968632 | − | 0.248500i | \(-0.920062\pi\) |
0.904098 | − | 0.427324i | \(-0.140544\pi\) | |||||||
\(32\) | 3.22081 | + | 0.620759i | 0.569363 | + | 0.109736i | ||||
\(33\) | 0.184022 | + | 3.86310i | 0.0320342 | + | 0.672480i | ||||
\(34\) | −0.278545 | − | 1.93733i | −0.0477701 | − | 0.332249i | ||||
\(35\) | −8.75958 | − | 2.42805i | −1.48064 | − | 0.410416i | ||||
\(36\) | 0.507184 | − | 0.325947i | 0.0845307 | − | 0.0543246i | ||||
\(37\) | 2.75219 | − | 0.952544i | 0.452458 | − | 0.156597i | −0.0913286 | − | 0.995821i | \(-0.529111\pi\) |
0.543786 | + | 0.839224i | \(0.316990\pi\) | |||||||
\(38\) | 3.24311 | − | 0.309679i | 0.526101 | − | 0.0502366i | ||||
\(39\) | 0.165944 | − | 3.48359i | 0.0265723 | − | 0.557821i | ||||
\(40\) | 2.49200 | − | 10.2722i | 0.394019 | − | 1.62417i | ||||
\(41\) | −0.0864582 | + | 0.0749165i | −0.0135025 | + | 0.0117000i | −0.661586 | − | 0.749869i | \(-0.730116\pi\) |
0.648083 | + | 0.761569i | \(0.275571\pi\) | |||||||
\(42\) | −0.545096 | + | 3.07939i | −0.0841102 | + | 0.475160i | ||||
\(43\) | −3.62491 | + | 1.65544i | −0.552794 | + | 0.252453i | −0.672170 | − | 0.740396i | \(-0.734638\pi\) |
0.119376 | + | 0.992849i | \(0.461911\pi\) | |||||||
\(44\) | −1.44134 | + | 1.83282i | −0.217291 | + | 0.276307i | ||||
\(45\) | −1.71782 | − | 2.97536i | −0.256078 | − | 0.443540i | ||||
\(46\) | −4.96749 | − | 2.73085i | −0.732417 | − | 0.402641i | ||||
\(47\) | 7.77973 | + | 4.49163i | 1.13479 | + | 0.655172i | 0.945135 | − | 0.326679i | \(-0.105930\pi\) |
0.189655 | + | 0.981851i | \(0.439263\pi\) | |||||||
\(48\) | −2.40600 | − | 0.345931i | −0.347276 | − | 0.0499308i | ||||
\(49\) | 4.23184 | + | 5.57598i | 0.604548 | + | 0.796569i | ||||
\(50\) | −7.71613 | − | 2.26566i | −1.09123 | − | 0.320413i | ||||
\(51\) | −0.313379 | − | 1.62596i | −0.0438818 | − | 0.227680i | ||||
\(52\) | 1.45096 | − | 1.52173i | 0.201213 | − | 0.211026i | ||||
\(53\) | 3.77376 | + | 0.179766i | 0.518366 | + | 0.0246928i | 0.305135 | − | 0.952309i | \(-0.401298\pi\) |
0.213231 | + | 0.977002i | \(0.431601\pi\) | |||||||
\(54\) | −0.962824 | + | 0.685624i | −0.131024 | + | 0.0933016i | ||||
\(55\) | 10.0419 | + | 8.70133i | 1.35405 | + | 1.17329i | ||||
\(56\) | −6.32119 | + | 5.12844i | −0.844705 | + | 0.685316i | ||||
\(57\) | 2.72818 | − | 0.392254i | 0.361357 | − | 0.0519553i | ||||
\(58\) | −5.47129 | − | 2.19037i | −0.718415 | − | 0.287610i | ||||
\(59\) | −2.01424 | + | 3.90709i | −0.262232 | + | 0.508659i | −0.982788 | − | 0.184738i | \(-0.940856\pi\) |
0.720556 | + | 0.693397i | \(0.243887\pi\) | |||||||
\(60\) | 0.392000 | − | 2.03389i | 0.0506069 | − | 0.262574i | ||||
\(61\) | 6.69002 | + | 9.39481i | 0.856569 | + | 1.20288i | 0.977650 | + | 0.210240i | \(0.0674245\pi\) |
−0.121081 | + | 0.992643i | \(0.538636\pi\) | |||||||
\(62\) | −2.41552 | + | 3.75862i | −0.306771 | + | 0.477345i | ||||
\(63\) | −0.336682 | + | 2.62424i | −0.0424179 | + | 0.330623i | ||||
\(64\) | −5.72251 | − | 6.60413i | −0.715314 | − | 0.825516i | ||||
\(65\) | −8.26850 | − | 8.67175i | −1.02558 | − | 1.07560i | ||||
\(66\) | 2.65164 | − | 3.72370i | 0.326394 | − | 0.458356i | ||||
\(67\) | −3.13630 | − | 7.83410i | −0.383160 | − | 0.957088i | −0.987107 | − | 0.160063i | \(-0.948830\pi\) |
0.603947 | − | 0.797025i | \(-0.293594\pi\) | |||||||
\(68\) | 0.499159 | − | 0.864569i | 0.0605320 | − | 0.104844i | ||||
\(69\) | −4.30781 | − | 2.10779i | −0.518600 | − | 0.253748i | ||||
\(70\) | 6.36453 | + | 8.65620i | 0.760707 | + | 1.03461i | ||||
\(71\) | −2.25534 | + | 15.6862i | −0.267660 | + | 1.86161i | 0.202839 | + | 0.979212i | \(0.434983\pi\) |
−0.470498 | + | 0.882401i | \(0.655926\pi\) | |||||||
\(72\) | −3.06267 | − | 0.292449i | −0.360939 | − | 0.0344655i | ||||
\(73\) | −0.107414 | + | 0.0260584i | −0.0125719 | + | 0.00304991i | −0.242040 | − | 0.970266i | \(-0.577817\pi\) |
0.229468 | + | 0.973316i | \(0.426301\pi\) | |||||||
\(74\) | −3.25308 | − | 1.12590i | −0.378162 | − | 0.130883i | ||||
\(75\) | −6.61188 | − | 1.60402i | −0.763474 | − | 0.185217i | ||||
\(76\) | 1.39792 | + | 0.898389i | 0.160352 | + | 0.103052i | ||||
\(77\) | −2.08898 | − | 10.0169i | −0.238062 | − | 1.14153i | ||||
\(78\) | −2.69950 | + | 3.11539i | −0.305658 | + | 0.352749i | ||||
\(79\) | 6.52841 | − | 0.310986i | 0.734503 | − | 0.0349887i | 0.323003 | − | 0.946398i | \(-0.395308\pi\) |
0.411501 | + | 0.911409i | \(0.365005\pi\) | |||||||
\(80\) | −6.56446 | + | 5.16235i | −0.733929 | + | 0.577168i | ||||
\(81\) | −0.786053 | + | 0.618159i | −0.0873392 | + | 0.0686843i | ||||
\(82\) | 0.135068 | − | 0.00643406i | 0.0149157 | − | 0.000710524i | ||||
\(83\) | −1.35573 | + | 1.56460i | −0.148811 | + | 0.171737i | −0.825261 | − | 0.564752i | \(-0.808972\pi\) |
0.676450 | + | 0.736488i | \(0.263517\pi\) | |||||||
\(84\) | −1.18948 | + | 1.06277i | −0.129783 | + | 0.115958i | ||||
\(85\) | −4.78592 | − | 3.07573i | −0.519106 | − | 0.333609i | ||||
\(86\) | 4.57751 | + | 1.11049i | 0.493606 | + | 0.119747i | ||||
\(87\) | −4.71179 | − | 1.63077i | −0.505157 | − | 0.174837i | ||||
\(88\) | 11.5633 | − | 2.80522i | 1.23265 | − | 0.299038i | ||||
\(89\) | 13.3872 | + | 1.27832i | 1.41904 | + | 0.135502i | 0.776193 | − | 0.630496i | \(-0.217148\pi\) |
0.642844 | + | 0.765997i | \(0.277754\pi\) | |||||||
\(90\) | −0.577928 | + | 4.01958i | −0.0609190 | + | 0.423701i | ||||
\(91\) | 1.01661 | + | 9.17099i | 0.106570 | + | 0.961381i | ||||
\(92\) | −1.13061 | − | 2.66114i | −0.117875 | − | 0.277444i | ||||
\(93\) | −1.88997 | + | 3.27353i | −0.195981 | + | 0.339449i | ||||
\(94\) | −3.94637 | − | 9.85756i | −0.407037 | − | 1.01673i | ||||
\(95\) | 5.49283 | − | 7.71360i | 0.563552 | − | 0.791398i | ||||
\(96\) | −2.26351 | − | 2.37391i | −0.231019 | − | 0.242286i | ||||
\(97\) | 12.5983 | + | 14.5392i | 1.27916 | + | 1.47623i | 0.801888 | + | 0.597475i | \(0.203829\pi\) |
0.477273 | + | 0.878755i | \(0.341625\pi\) | |||||||
\(98\) | 0.142306 | − | 8.27273i | 0.0143750 | − | 0.835672i | ||||
\(99\) | 2.09092 | − | 3.25353i | 0.210145 | − | 0.326992i | ||||
\(100\) | −2.37931 | − | 3.34128i | −0.237931 | − | 0.334128i | ||||
\(101\) | −2.91555 | + | 15.1273i | −0.290108 | + | 1.50522i | 0.485629 | + | 0.874165i | \(0.338591\pi\) |
−0.775737 | + | 0.631057i | \(0.782621\pi\) | |||||||
\(102\) | −0.896863 | + | 1.73967i | −0.0888026 | + | 0.172253i | ||||
\(103\) | −13.8301 | − | 5.53673i | −1.36272 | − | 0.545550i | −0.428917 | − | 0.903344i | \(-0.641105\pi\) |
−0.933801 | + | 0.357794i | \(0.883529\pi\) | |||||||
\(104\) | −10.6206 | + | 1.52701i | −1.04143 | + | 0.149735i | ||||
\(105\) | 5.72693 | + | 7.05889i | 0.558891 | + | 0.688877i | ||||
\(106\) | −3.37489 | − | 2.92436i | −0.327798 | − | 0.284039i | ||||
\(107\) | 10.6563 | − | 7.58831i | 1.03018 | − | 0.733590i | 0.0657276 | − | 0.997838i | \(-0.479063\pi\) |
0.964455 | + | 0.264248i | \(0.0851238\pi\) | |||||||
\(108\) | −0.602208 | − | 0.0286867i | −0.0579475 | − | 0.00276038i | ||||
\(109\) | −10.6170 | + | 11.1348i | −1.01692 | + | 1.06652i | −0.0191514 | + | 0.999817i | \(0.506096\pi\) |
−0.997773 | + | 0.0667029i | \(0.978752\pi\) | |||||||
\(110\) | −2.97229 | − | 15.4217i | −0.283396 | − | 1.47040i | ||||
\(111\) | −2.79440 | − | 0.820510i | −0.265233 | − | 0.0778794i | ||||
\(112\) | 6.43039 | − | 0.0977489i | 0.607615 | − | 0.00923640i | ||||
\(113\) | −12.1000 | − | 1.73972i | −1.13828 | − | 0.163659i | −0.452701 | − | 0.891662i | \(-0.649540\pi\) |
−0.685574 | + | 0.728003i | \(0.740449\pi\) | |||||||
\(114\) | −2.82139 | − | 1.62893i | −0.264247 | − | 0.152563i | ||||
\(115\) | −15.4542 | + | 5.71407i | −1.44112 | + | 0.532839i | ||||
\(116\) | −1.50301 | − | 2.60329i | −0.139551 | − | 0.241710i | ||||
\(117\) | −2.15586 | + | 2.74139i | −0.199309 | + | 0.253442i | ||||
\(118\) | 4.72620 | − | 2.15839i | 0.435082 | − | 0.198695i | ||||
\(119\) | 1.49567 | + | 4.11785i | 0.137108 | + | 0.377483i | ||||
\(120\) | −7.98836 | + | 6.92195i | −0.729234 | + | 0.631885i | ||||
\(121\) | −0.932997 | + | 3.84586i | −0.0848179 | + | 0.349624i | ||||
\(122\) | 0.648655 | − | 13.6169i | 0.0587265 | − | 1.23282i | ||||
\(123\) | 0.113883 | − | 0.0108745i | 0.0102684 | − | 0.000980518i | ||||
\(124\) | −2.15356 | + | 0.745354i | −0.193395 | + | 0.0669348i | ||||
\(125\) | −5.21303 | + | 3.35021i | −0.466267 | + | 0.299652i | ||||
\(126\) | 2.23024 | − | 2.19221i | 0.198686 | − | 0.195297i | ||||
\(127\) | 0.349587 | + | 2.43143i | 0.0310209 | + | 0.215755i | 0.999436 | − | 0.0335897i | \(-0.0106939\pi\) |
−0.968415 | + | 0.249345i | \(0.919785\pi\) | |||||||
\(128\) | 0.179323 | + | 3.76444i | 0.0158500 | + | 0.332733i | ||||
\(129\) | 3.91302 | + | 0.754173i | 0.344522 | + | 0.0664012i | ||||
\(130\) | 1.34624 | + | 14.0985i | 0.118073 | + | 1.23652i | ||||
\(131\) | 3.14435 | + | 6.09919i | 0.274723 | + | 0.532889i | 0.985321 | − | 0.170709i | \(-0.0546059\pi\) |
−0.710598 | + | 0.703598i | \(0.751576\pi\) | |||||||
\(132\) | 2.23722 | − | 0.656907i | 0.194725 | − | 0.0571764i | ||||
\(133\) | −6.96490 | + | 2.16060i | −0.603933 | + | 0.187347i | ||||
\(134\) | −2.81010 | + | 9.57031i | −0.242755 | + | 0.826749i | ||||
\(135\) | −0.326579 | + | 3.42009i | −0.0281074 | + | 0.294354i | ||||
\(136\) | −4.72957 | + | 1.89343i | −0.405557 | + | 0.162361i | ||||
\(137\) | −15.8555 | + | 9.15417i | −1.35463 | + | 0.782094i | −0.988893 | − | 0.148627i | \(-0.952515\pi\) |
−0.365732 | + | 0.930720i | \(0.619181\pi\) | |||||||
\(138\) | 2.46236 | + | 5.10591i | 0.209610 | + | 0.434644i | ||||
\(139\) | − | 1.33013i | − | 0.112820i | −0.998408 | − | 0.0564102i | \(-0.982035\pi\) | ||
0.998408 | − | 0.0564102i | \(-0.0179655\pi\) | |||||||
\(140\) | −0.177527 | + | 5.47732i | −0.0150038 | + | 0.462918i | ||||
\(141\) | −3.73178 | − | 8.17146i | −0.314273 | − | 0.688161i | ||||
\(142\) | 13.5568 | − | 12.9263i | 1.13766 | − | 1.08475i | ||||
\(143\) | 4.41149 | − | 12.7462i | 0.368908 | − | 1.06589i | ||||
\(144\) | 1.75921 | + | 1.67740i | 0.146601 | + | 0.139784i | ||||
\(145\) | −15.2259 | + | 7.84951i | −1.26444 | + | 0.651866i | ||||
\(146\) | 0.118839 | + | 0.0542722i | 0.00983523 | + | 0.00449160i | ||||
\(147\) | −0.212766 | − | 6.99677i | −0.0175486 | − | 0.577084i | ||||
\(148\) | −0.949280 | − | 1.47711i | −0.0780303 | − | 0.121418i | ||||
\(149\) | 6.97742 | − | 17.4287i | 0.571612 | − | 1.42782i | −0.307659 | − | 0.951497i | \(-0.599546\pi\) |
0.879271 | − | 0.476322i | \(-0.158030\pi\) | |||||||
\(150\) | 4.97116 | + | 6.32135i | 0.405894 | + | 0.516136i | ||||
\(151\) | 7.32214 | + | 3.77483i | 0.595868 | + | 0.307191i | 0.729651 | − | 0.683819i | \(-0.239682\pi\) |
−0.133784 | + | 0.991011i | \(0.542713\pi\) | |||||||
\(152\) | −2.77349 | − | 8.01346i | −0.224959 | − | 0.649978i | ||||
\(153\) | −0.687880 | + | 1.50625i | −0.0556118 | + | 0.121773i | ||||
\(154\) | −5.37804 | + | 10.8331i | −0.433375 | + | 0.872958i | ||||
\(155\) | 3.65874 | + | 12.4605i | 0.293877 | + | 1.00085i | ||||
\(156\) | −2.06461 | + | 0.397921i | −0.165301 | + | 0.0318592i | ||||
\(157\) | −4.39902 | − | 18.1330i | −0.351080 | − | 1.44717i | −0.824263 | − | 0.566208i | \(-0.808410\pi\) |
0.473182 | − | 0.880964i | \(-0.343105\pi\) | |||||||
\(158\) | −6.29283 | − | 4.48111i | −0.500631 | − | 0.356498i | ||||
\(159\) | −2.96974 | − | 2.33543i | −0.235516 | − | 0.185212i | ||||
\(160\) | −11.2692 | −0.890908 | ||||||||
\(161\) | 12.1329 | + | 3.71391i | 0.956205 | + | 0.292697i | ||||
\(162\) | 1.18199 | 0.0928662 | ||||||||
\(163\) | 4.41376 | + | 3.47102i | 0.345712 | + | 0.271871i | 0.775884 | − | 0.630876i | \(-0.217304\pi\) |
−0.430171 | + | 0.902747i | \(0.641547\pi\) | |||||||
\(164\) | 0.0561822 | + | 0.0400071i | 0.00438709 | + | 0.00312403i | ||||
\(165\) | −3.13260 | − | 12.9127i | −0.243873 | − | 1.00526i | ||||
\(166\) | 2.40281 | − | 0.463104i | 0.186494 | − | 0.0359438i | ||||
\(167\) | 3.20803 | + | 10.9255i | 0.248244 | + | 0.845443i | 0.985478 | + | 0.169805i | \(0.0543137\pi\) |
−0.737233 | + | 0.675638i | \(0.763868\pi\) | |||||||
\(168\) | 8.12387 | − | 0.510849i | 0.626771 | − | 0.0394129i | ||||
\(169\) | 0.347724 | − | 0.761410i | 0.0267480 | − | 0.0585700i | ||||
\(170\) | 2.19934 | + | 6.35457i | 0.168682 | + | 0.487373i | ||||
\(171\) | −2.44984 | − | 1.26298i | −0.187344 | − | 0.0965826i | ||||
\(172\) | 1.48515 | + | 1.88852i | 0.113242 | + | 0.143999i | ||||
\(173\) | −6.59455 | + | 16.4724i | −0.501374 | + | 1.25237i | 0.434702 | + | 0.900575i | \(0.356854\pi\) |
−0.936076 | + | 0.351798i | \(0.885570\pi\) | |||||||
\(174\) | 3.18624 | + | 4.95788i | 0.241548 | + | 0.375856i | ||||
\(175\) | 17.9432 | + | 1.43853i | 1.35638 | + | 0.108742i | ||||
\(176\) | −8.55131 | − | 3.90525i | −0.644579 | − | 0.294370i | ||||
\(177\) | 3.90709 | − | 2.01424i | 0.293675 | − | 0.151400i | ||||
\(178\) | −11.5041 | − | 10.9692i | −0.862271 | − | 0.822174i | ||||
\(179\) | 2.18613 | − | 6.31641i | 0.163399 | − | 0.472111i | −0.833344 | − | 0.552755i | \(-0.813577\pi\) |
0.996743 | + | 0.0806441i | \(0.0256977\pi\) | |||||||
\(180\) | −1.49908 | + | 1.42937i | −0.111735 | + | 0.106539i | ||||
\(181\) | −7.41164 | − | 16.2292i | −0.550903 | − | 1.20631i | −0.956359 | − | 0.292194i | \(-0.905615\pi\) |
0.405456 | − | 0.914114i | \(-0.367113\pi\) | |||||||
\(182\) | 5.75634 | − | 9.26366i | 0.426688 | − | 0.686668i | ||||
\(183\) | − | 11.5334i | − | 0.852572i | ||||||
\(184\) | −3.85940 | + | 14.2412i | −0.284519 | + | 1.04987i | ||||
\(185\) | −8.66534 | + | 5.00294i | −0.637089 | + | 0.367823i | ||||
\(186\) | 4.14783 | − | 1.66054i | 0.304134 | − | 0.121757i | ||||
\(187\) | 0.608749 | − | 6.37511i | 0.0445162 | − | 0.466194i | ||||
\(188\) | 1.52584 | − | 5.19654i | 0.111284 | − | 0.378997i | ||||
\(189\) | 1.79646 | − | 1.94235i | 0.130673 | − | 0.141285i | ||||
\(190\) | −10.7395 | + | 3.15339i | −0.779122 | + | 0.228771i | ||||
\(191\) | −3.99537 | − | 7.74993i | −0.289095 | − | 0.560765i | 0.698906 | − | 0.715213i | \(-0.253670\pi\) |
−0.988001 | + | 0.154448i | \(0.950640\pi\) | |||||||
\(192\) | 0.830649 | + | 8.69895i | 0.0599469 | + | 0.627793i | ||||
\(193\) | 17.3949 | + | 3.35260i | 1.25212 | + | 0.241325i | 0.771854 | − | 0.635800i | \(-0.219330\pi\) |
0.480261 | + | 0.877125i | \(0.340542\pi\) | |||||||
\(194\) | −1.08198 | − | 22.7135i | −0.0776816 | − | 1.63074i | ||||
\(195\) | 1.70521 | + | 11.8600i | 0.122113 | + | 0.849312i | ||||
\(196\) | 2.66545 | − | 3.27197i | 0.190389 | − | 0.233712i | ||||
\(197\) | 2.56878 | − | 1.65086i | 0.183018 | − | 0.117619i | −0.445924 | − | 0.895071i | \(-0.647125\pi\) |
0.628942 | + | 0.777452i | \(0.283488\pi\) | |||||||
\(198\) | −4.31992 | + | 1.49514i | −0.307003 | + | 0.106255i | ||||
\(199\) | 10.1245 | − | 0.966770i | 0.717705 | − | 0.0685325i | 0.270187 | − | 0.962808i | \(-0.412914\pi\) |
0.447517 | + | 0.894275i | \(0.352308\pi\) | |||||||
\(200\) | −0.995992 | + | 20.9084i | −0.0704272 | + | 1.47845i | ||||
\(201\) | −1.98947 | + | 8.20070i | −0.140326 | + | 0.578433i | ||||
\(202\) | 13.7618 | − | 11.9246i | 0.968275 | − | 0.839015i | ||||
\(203\) | 12.9898 | + | 2.29939i | 0.911707 | + | 0.161385i | ||||
\(204\) | −0.908103 | + | 0.414717i | −0.0635799 | + | 0.0290360i | ||||
\(205\) | 0.242961 | − | 0.308950i | 0.0169691 | − | 0.0215780i | ||||
\(206\) | 8.80419 | + | 15.2493i | 0.613417 | + | 1.06247i | ||||
\(207\) | 2.28640 | + | 4.21573i | 0.158916 | + | 0.293013i | ||||
\(208\) | 7.34157 | + | 4.23866i | 0.509046 | + | 0.293898i | ||||
\(209\) | 10.5512 | + | 1.51703i | 0.729842 | + | 0.104935i | ||||
\(210\) | −0.163304 | − | 10.7429i | −0.0112690 | − | 0.741332i | ||||
\(211\) | −1.21039 | − | 0.355402i | −0.0833266 | − | 0.0244669i | 0.239804 | − | 0.970821i | \(-0.422917\pi\) |
−0.323130 | + | 0.946355i | \(0.604735\pi\) | |||||||
\(212\) | −0.431066 | − | 2.23658i | −0.0296058 | − | 0.153609i | ||||
\(213\) | 10.9361 | − | 11.4694i | 0.749326 | − | 0.785870i | ||||
\(214\) | −15.4453 | − | 0.735752i | −1.05582 | − | 0.0502950i | ||||
\(215\) | 11.1525 | − | 7.94165i | 0.760594 | − | 0.541616i | ||||
\(216\) | 2.32514 | + | 2.01474i | 0.158206 | + | 0.137086i | ||||
\(217\) | 3.57538 | − | 9.33985i | 0.242712 | − | 0.634030i | ||||
\(218\) | 18.0001 | − | 2.58802i | 1.21912 | − | 0.175283i | ||||
\(219\) | 0.102612 | + | 0.0410798i | 0.00693391 | + | 0.00277592i | ||||
\(220\) | 3.67076 | − | 7.12027i | 0.247482 | − | 0.480049i | ||||
\(221\) | −1.09292 | + | 5.67061i | −0.0735178 | + | 0.381447i | ||||
\(222\) | 1.99679 | + | 2.80410i | 0.134016 | + | 0.188199i | ||||
\(223\) | 15.1891 | − | 23.6347i | 1.01714 | − | 1.58270i | 0.223128 | − | 0.974789i | \(-0.428373\pi\) |
0.794009 | − | 0.607906i | \(-0.207990\pi\) | |||||||
\(224\) | 6.90234 | + | 5.26025i | 0.461182 | + | 0.351465i | ||||
\(225\) | 4.45545 | + | 5.14186i | 0.297030 | + | 0.342791i | ||||
\(226\) | 9.97112 | + | 10.4574i | 0.663269 | + | 0.695616i | ||||
\(227\) | 11.8640 | − | 16.6607i | 0.787441 | − | 1.10581i | −0.204470 | − | 0.978873i | \(-0.565547\pi\) |
0.991911 | − | 0.126934i | \(-0.0405136\pi\) | |||||||
\(228\) | −0.617596 | − | 1.54268i | −0.0409013 | − | 0.102166i | ||||
\(229\) | −8.56724 | + | 14.8389i | −0.566139 | + | 0.980582i | 0.430804 | + | 0.902446i | \(0.358230\pi\) |
−0.996943 | + | 0.0781359i | \(0.975103\pi\) | |||||||
\(230\) | 18.5337 | + | 5.98280i | 1.22208 | + | 0.394494i | ||||
\(231\) | −4.10873 | + | 9.37125i | −0.270335 | + | 0.616583i | ||||
\(232\) | −2.18311 | + | 15.1839i | −0.143328 | + | 0.996869i | ||||
\(233\) | 13.4178 | + | 1.28124i | 0.879029 | + | 0.0839371i | 0.524804 | − | 0.851223i | \(-0.324139\pi\) |
0.354225 | + | 0.935160i | \(0.384745\pi\) | |||||||
\(234\) | 4.00605 | − | 0.971858i | 0.261884 | − | 0.0635323i | ||||
\(235\) | −29.1658 | − | 10.0944i | −1.90257 | − | 0.658486i | ||||
\(236\) | 2.57544 | + | 0.624796i | 0.167647 | + | 0.0406708i | ||||
\(237\) | −5.49827 | − | 3.53353i | −0.357151 | − | 0.229527i | ||||
\(238\) | 1.61911 | − | 4.91876i | 0.104951 | − | 0.318836i | ||||
\(239\) | 13.1041 | − | 15.1230i | 0.847636 | − | 0.978224i | −0.152313 | − | 0.988332i | \(-0.548672\pi\) |
0.999949 | + | 0.0101086i | \(0.00321772\pi\) | |||||||
\(240\) | 8.34171 | − | 0.397364i | 0.538455 | − | 0.0256498i | ||||
\(241\) | −15.2586 | + | 11.9995i | −0.982890 | + | 0.772953i | −0.973893 | − | 0.227006i | \(-0.927106\pi\) |
−0.00899695 | + | 0.999960i | \(0.502864\pi\) | |||||||
\(242\) | 3.67688 | − | 2.89153i | 0.236359 | − | 0.185874i | ||||
\(243\) | 0.998867 | − | 0.0475819i | 0.0640774 | − | 0.00305238i | ||||
\(244\) | 4.55349 | − | 5.25501i | 0.291507 | − | 0.336417i | ||||
\(245\) | −17.9019 | − | 16.0594i | −1.14371 | − | 1.02599i | ||||
\(246\) | −0.113755 | − | 0.0731059i | −0.00725275 | − | 0.00466106i | ||||
\(247\) | −9.34154 | − | 2.26623i | −0.594388 | − | 0.144197i | ||||
\(248\) | 10.9898 | + | 3.80360i | 0.697852 | + | 0.241529i | ||||
\(249\) | 2.01190 | − | 0.488082i | 0.127499 | − | 0.0309309i | ||||
\(250\) | 7.29134 | + | 0.696238i | 0.461145 | + | 0.0440340i | ||||
\(251\) | −2.79527 | + | 19.4416i | −0.176436 | + | 1.22714i | 0.688492 | + | 0.725244i | \(0.258273\pi\) |
−0.864928 | + | 0.501896i | \(0.832636\pi\) | |||||||
\(252\) | 1.58539 | − | 0.175741i | 0.0998701 | − | 0.0110706i | ||||
\(253\) | −13.6889 | − | 12.5154i | −0.860613 | − | 0.786836i | ||||
\(254\) | 1.45175 | − | 2.51450i | 0.0910907 | − | 0.157774i | ||||
\(255\) | 2.11440 | + | 5.28152i | 0.132409 | + | 0.330742i | ||||
\(256\) | −7.55376 | + | 10.6078i | −0.472110 | + | 0.662985i | ||||
\(257\) | −3.02170 | − | 3.16907i | −0.188489 | − | 0.197681i | 0.622709 | − | 0.782454i | \(-0.286032\pi\) |
−0.811197 | + | 0.584773i | \(0.801184\pi\) | |||||||
\(258\) | −3.08458 | − | 3.55980i | −0.192038 | − | 0.221623i | ||||
\(259\) | 7.64277 | + | 0.980543i | 0.474899 | + | 0.0609280i | ||||
\(260\) | −3.90549 | + | 6.07706i | −0.242208 | + | 0.376883i | ||||
\(261\) | 2.89218 | + | 4.06149i | 0.179021 | + | 0.251400i | ||||
\(262\) | 1.53499 | − | 7.96427i | 0.0948318 | − | 0.492034i | ||||
\(263\) | 13.1074 | − | 25.4247i | 0.808234 | − | 1.56776i | −0.0148868 | − | 0.999889i | \(-0.504739\pi\) |
0.823121 | − | 0.567866i | \(-0.192231\pi\) | |||||||
\(264\) | −11.0464 | − | 4.42230i | −0.679857 | − | 0.272174i | ||||
\(265\) | −12.8479 | + | 1.84725i | −0.789240 | + | 0.113476i | ||||
\(266\) | 8.04982 | + | 3.08154i | 0.493566 | + | 0.188941i | ||||
\(267\) | −10.1634 | − | 8.80661i | −0.621988 | − | 0.538956i | ||||
\(268\) | −4.14419 | + | 2.95106i | −0.253146 | + | 0.180265i | ||||
\(269\) | 3.54989 | + | 0.169102i | 0.216441 | + | 0.0103103i | 0.155522 | − | 0.987832i | \(-0.450294\pi\) |
0.0609185 | + | 0.998143i | \(0.480597\pi\) | |||||||
\(270\) | 2.80235 | − | 2.93902i | 0.170546 | − | 0.178863i | ||||
\(271\) | −0.549719 | − | 2.85221i | −0.0333930 | − | 0.173260i | 0.961403 | − | 0.275143i | \(-0.0887252\pi\) |
−0.994796 | + | 0.101884i | \(0.967513\pi\) | |||||||
\(272\) | 3.86199 | + | 1.13398i | 0.234168 | + | 0.0687578i | ||||
\(273\) | 4.49159 | − | 8.06016i | 0.271844 | − | 0.487823i | ||||
\(274\) | 21.4201 | + | 3.07974i | 1.29403 | + | 0.186054i | ||||
\(275\) | −22.7878 | − | 13.1565i | −1.37415 | − | 0.793368i | ||||
\(276\) | −0.622645 | + | 2.82352i | −0.0374788 | + | 0.169956i | ||||
\(277\) | 7.35253 | + | 12.7350i | 0.441771 | + | 0.765169i | 0.997821 | − | 0.0659795i | \(-0.0210172\pi\) |
−0.556050 | + | 0.831149i | \(0.687684\pi\) | |||||||
\(278\) | −0.971876 | + | 1.23584i | −0.0582892 | + | 0.0741208i | ||||
\(279\) | 3.43836 | − | 1.57025i | 0.205849 | − | 0.0940083i | ||||
\(280\) | 17.9904 | − | 21.4111i | 1.07513 | − | 1.27956i | ||||
\(281\) | −23.6399 | + | 20.4841i | −1.41024 | + | 1.22198i | −0.469459 | + | 0.882954i | \(0.655551\pi\) |
−0.940778 | + | 0.339023i | \(0.889903\pi\) | |||||||
\(282\) | −2.50333 | + | 10.3189i | −0.149071 | + | 0.614479i | ||||
\(283\) | −0.663340 | + | 13.9252i | −0.0394315 | + | 0.827768i | 0.889369 | + | 0.457189i | \(0.151144\pi\) |
−0.928801 | + | 0.370579i | \(0.879159\pi\) | |||||||
\(284\) | 9.51107 | − | 0.908197i | 0.564378 | − | 0.0538916i | ||||
\(285\) | −8.94865 | + | 3.09716i | −0.530072 | + | 0.183460i | ||||
\(286\) | −13.4119 | + | 8.61929i | −0.793061 | + | 0.509670i | ||||
\(287\) | −0.293025 | + | 0.0758210i | −0.0172967 | + | 0.00447557i | ||||
\(288\) | 0.466804 | + | 3.24669i | 0.0275067 | + | 0.191313i | ||||
\(289\) | −0.678425 | − | 14.2419i | −0.0399073 | − | 0.837758i | ||||
\(290\) | 19.8819 | + | 3.83192i | 1.16750 | + | 0.225018i | ||||
\(291\) | −1.82870 | − | 19.1510i | −0.107200 | − | 1.12265i | ||||
\(292\) | 0.0305351 | + | 0.0592297i | 0.00178693 | + | 0.00346616i | ||||
\(293\) | −8.53771 | + | 2.50690i | −0.498778 | + | 0.146455i | −0.521439 | − | 0.853289i | \(-0.674604\pi\) |
0.0226605 | + | 0.999743i | \(0.492786\pi\) | |||||||
\(294\) | −4.91457 | + | 6.65622i | −0.286624 | + | 0.388199i | ||||
\(295\) | 4.25478 | − | 14.4904i | 0.247723 | − | 0.843666i | ||||
\(296\) | −0.851722 | + | 8.91963i | −0.0495053 | + | 0.518443i | ||||
\(297\) | −3.59045 | + | 1.43740i | −0.208339 | + | 0.0834063i | ||||
\(298\) | −19.2173 | + | 11.0951i | −1.11323 | + | 0.642722i | ||||
\(299\) | 11.2154 | + | 12.4082i | 0.648604 | + | 0.717582i | ||||
\(300\) | 4.10186i | 0.236821i | ||||||||
\(301\) | −10.5379 | − | 0.341547i | −0.607393 | − | 0.0196864i | ||||
\(302\) | −4.04496 | − | 8.85723i | −0.232761 | − | 0.509676i | ||||
\(303\) | 11.1496 | − | 10.6311i | 0.640529 | − | 0.610743i | ||||
\(304\) | −2.19126 | + | 6.33123i | −0.125677 | + | 0.363121i | ||||
\(305\) | −28.6777 | − | 27.3441i | −1.64208 | − | 1.56572i | ||||
\(306\) | 1.73967 | − | 0.896863i | 0.0994504 | − | 0.0512702i | ||||
\(307\) | −19.2595 | − | 8.79552i | −1.09920 | − | 0.501987i | −0.218582 | − | 0.975818i | \(-0.570143\pi\) |
−0.880615 | + | 0.473832i | \(0.842871\pi\) | |||||||
\(308\) | −5.57194 | + | 2.64770i | −0.317491 | + | 0.150867i | ||||
\(309\) | 8.05403 | + | 12.5323i | 0.458178 | + | 0.712938i | ||||
\(310\) | 5.70503 | − | 14.2505i | 0.324024 | − | 0.809373i | ||||
\(311\) | −3.33384 | − | 4.23933i | −0.189045 | − | 0.240390i | 0.682287 | − | 0.731085i | \(-0.260986\pi\) |
−0.871332 | + | 0.490694i | \(0.836743\pi\) | |||||||
\(312\) | 9.53700 | + | 4.91667i | 0.539926 | + | 0.278351i | ||||
\(313\) | 1.15761 | + | 3.34470i | 0.0654320 | + | 0.189053i | 0.972977 | − | 0.230901i | \(-0.0741673\pi\) |
−0.907545 | + | 0.419954i | \(0.862046\pi\) | |||||||
\(314\) | −9.16190 | + | 20.0618i | −0.517036 | + | 1.13215i | ||||
\(315\) | −0.570466 | − | 9.07195i | −0.0321421 | − | 0.511146i | ||||
\(316\) | −1.11013 | − | 3.78077i | −0.0624499 | − | 0.212685i | ||||
\(317\) | −17.1536 | + | 3.30608i | −0.963440 | + | 0.185688i | −0.646632 | − | 0.762802i | \(-0.723823\pi\) |
−0.316808 | + | 0.948490i | \(0.602611\pi\) | |||||||
\(318\) | 1.05281 | + | 4.33974i | 0.0590387 | + | 0.243361i | ||||
\(319\) | −15.7077 | − | 11.1854i | −0.879465 | − | 0.626264i | ||||
\(320\) | 23.5992 | + | 18.5586i | 1.31924 | + | 1.03746i | ||||
\(321\) | −13.0820 | −0.730167 | ||||||||
\(322\) | −8.55917 | − | 12.3156i | −0.476984 | − | 0.686324i | ||||
\(323\) | −4.56402 | −0.253949 | ||||||||
\(324\) | 0.473904 | + | 0.372682i | 0.0263280 | + | 0.0207046i | ||||
\(325\) | 19.3283 | + | 13.7636i | 1.07214 | + | 0.763468i | ||||
\(326\) | −1.56473 | − | 6.44991i | −0.0866625 | − | 0.357228i | ||||
\(327\) | 15.1072 | − | 2.91167i | 0.835428 | − | 0.161016i | ||||
\(328\) | −0.0991600 | − | 0.337708i | −0.00547519 | − | 0.0186468i | ||||
\(329\) | 13.1521 | + | 19.7969i | 0.725098 | + | 1.09144i | ||||
\(330\) | −6.52430 | + | 14.2862i | −0.359151 | + | 0.786431i | ||||
\(331\) | 3.81804 | + | 11.0315i | 0.209858 | + | 0.606346i | 0.999978 | − | 0.00660660i | \(-0.00210296\pi\) |
−0.790120 | + | 0.612952i | \(0.789982\pi\) | |||||||
\(332\) | 1.10939 | + | 0.571930i | 0.0608857 | + | 0.0313888i | ||||
\(333\) | 1.80031 | + | 2.28928i | 0.0986563 | + | 0.125452i | ||||
\(334\) | 5.00224 | − | 12.4950i | 0.273710 | − | 0.683696i | ||||
\(335\) | 15.6742 | + | 24.3896i | 0.856374 | + | 1.33254i | ||||
\(336\) | −5.29474 | − | 3.65037i | −0.288852 | − | 0.199144i | ||||
\(337\) | 6.28879 | + | 2.87200i | 0.342572 | + | 0.156448i | 0.579270 | − | 0.815136i | \(-0.303338\pi\) |
−0.236697 | + | 0.971583i | \(0.576065\pi\) | |||||||
\(338\) | −0.879406 | + | 0.453365i | −0.0478334 | + | 0.0246598i | ||||
\(339\) | 8.84726 | + | 8.43584i | 0.480517 | + | 0.458172i | ||||
\(340\) | −1.12180 | + | 3.24123i | −0.0608382 | + | 0.175780i | ||||
\(341\) | −10.5802 | + | 10.0882i | −0.572949 | + | 0.546306i | ||||
\(342\) | 1.35336 | + | 2.96345i | 0.0731815 | + | 0.160245i | ||||
\(343\) | 3.46860 | + | 18.1925i | 0.187287 | + | 0.982305i | ||||
\(344\) | − | 12.2604i | − | 0.661034i | ||||||
\(345\) | 15.9031 | + | 4.30980i | 0.856196 | + | 0.232032i | ||||
\(346\) | 18.1628 | − | 10.4863i | 0.976437 | − | 0.563746i | ||||
\(347\) | 27.7583 | − | 11.1128i | 1.49015 | − | 0.596564i | 0.523350 | − | 0.852118i | \(-0.324682\pi\) |
0.966795 | + | 0.255553i | \(0.0822576\pi\) | |||||||
\(348\) | −0.285741 | + | 2.99241i | −0.0153173 | + | 0.160410i | ||||
\(349\) | −3.45203 | + | 11.7565i | −0.184783 | + | 0.629313i | 0.814040 | + | 0.580809i | \(0.197264\pi\) |
−0.998823 | + | 0.0485042i | \(0.984555\pi\) | |||||||
\(350\) | −15.6201 | − | 14.4469i | −0.834932 | − | 0.772222i | ||||
\(351\) | 3.34627 | − | 0.982554i | 0.178611 | − | 0.0524449i | ||||
\(352\) | −5.81290 | − | 11.2755i | −0.309829 | − | 0.600984i | ||||
\(353\) | 2.49387 | + | 26.1170i | 0.132735 | + | 1.39007i | 0.779034 | + | 0.626981i | \(0.215710\pi\) |
−0.646299 | + | 0.763084i | \(0.723684\pi\) | |||||||
\(354\) | −5.10184 | − | 0.983299i | −0.271160 | − | 0.0522617i | ||||
\(355\) | −2.59067 | − | 54.3848i | −0.137498 | − | 2.88645i | ||||
\(356\) | −1.15385 | − | 8.02519i | −0.0611538 | − | 0.425334i | ||||
\(357\) | 1.17025 | − | 4.22187i | 0.0619364 | − | 0.223445i | ||||
\(358\) | −6.64631 | + | 4.27132i | −0.351268 | + | 0.225746i | ||||
\(359\) | 11.7356 | − | 4.06171i | 0.619379 | − | 0.214369i | 0.000683016 | − | 1.00000i | \(-0.499783\pi\) |
0.618696 | + | 0.785631i | \(0.287661\pi\) | |||||||
\(360\) | 10.5222 | − | 1.00475i | 0.554571 | − | 0.0529551i | ||||
\(361\) | −0.542583 | + | 11.3902i | −0.0285570 | + | 0.599486i | ||||
\(362\) | −4.97182 | + | 20.4941i | −0.261313 | + | 1.07715i | ||||
\(363\) | 2.99082 | − | 2.59156i | 0.156977 | − | 0.136022i | ||||
\(364\) | 5.22875 | − | 1.89916i | 0.274061 | − | 0.0995432i | ||||
\(365\) | 0.345425 | − | 0.157750i | 0.0180804 | − | 0.00825703i | ||||
\(366\) | −8.42698 | + | 10.7158i | −0.440485 | + | 0.560123i | ||||
\(367\) | −11.9356 | − | 20.6731i | −0.623033 | − | 1.07913i | −0.988918 | − | 0.148465i | \(-0.952567\pi\) |
0.365885 | − | 0.930660i | \(-0.380767\pi\) | |||||||
\(368\) | 9.35210 | − | 6.95944i | 0.487512 | − | 0.362786i | ||||
\(369\) | −0.0990738 | − | 0.0572003i | −0.00515758 | − | 0.00297773i | ||||
\(370\) | 11.7065 | + | 1.68314i | 0.608592 | + | 0.0875023i | ||||
\(371\) | 8.73154 | + | 4.86573i | 0.453319 | + | 0.252616i | ||||
\(372\) | 2.18659 | + | 0.642039i | 0.113369 | + | 0.0332882i | ||||
\(373\) | 0.497664 | + | 2.58212i | 0.0257681 | + | 0.133697i | 0.992535 | − | 0.121963i | \(-0.0389191\pi\) |
−0.966767 | + | 0.255661i | \(0.917707\pi\) | |||||||
\(374\) | −5.22364 | + | 5.47839i | −0.270108 | + | 0.283281i | ||||
\(375\) | 6.18972 | + | 0.294853i | 0.319636 | + | 0.0152261i | ||||
\(376\) | −22.5132 | + | 16.0316i | −1.16103 | + | 0.826765i | ||||
\(377\) | 13.1417 | + | 11.3873i | 0.676832 | + | 0.586478i | ||||
\(378\) | −3.08831 | + | 0.492053i | −0.158845 | + | 0.0253085i | ||||
\(379\) | 4.60696 | − | 0.662381i | 0.236644 | − | 0.0340242i | −0.0229725 | − | 0.999736i | \(-0.507313\pi\) |
0.259616 | + | 0.965712i | \(0.416404\pi\) | |||||||
\(380\) | −5.30010 | − | 2.12184i | −0.271889 | − | 0.108848i | ||||
\(381\) | 1.12560 | − | 2.18337i | 0.0576665 | − | 0.111857i | ||||
\(382\) | −1.95043 | + | 10.1198i | −0.0997927 | + | 0.517773i | ||||
\(383\) | −10.0100 | − | 14.0570i | −0.511485 | − | 0.718280i | 0.475388 | − | 0.879776i | \(-0.342308\pi\) |
−0.986873 | + | 0.161496i | \(0.948368\pi\) | |||||||
\(384\) | 2.03752 | − | 3.17044i | 0.103977 | − | 0.161791i | ||||
\(385\) | 13.5603 | + | 32.4343i | 0.691097 | + | 1.65301i | ||||
\(386\) | −13.7122 | − | 15.8247i | −0.697933 | − | 0.805457i | ||||
\(387\) | −2.74999 | − | 2.88410i | −0.139790 | − | 0.146607i | ||||
\(388\) | 6.72777 | − | 9.44783i | 0.341551 | − | 0.479641i | ||||
\(389\) | 0.504559 | + | 1.26033i | 0.0255822 | + | 0.0639011i | 0.940609 | − | 0.339492i | \(-0.110255\pi\) |
−0.915027 | + | 0.403393i | \(0.867831\pi\) | |||||||
\(390\) | 7.08130 | − | 12.2652i | 0.358576 | − | 0.621071i | ||||
\(391\) | 6.56393 | + | 4.46989i | 0.331952 | + | 0.226052i | ||||
\(392\) | −21.0134 | + | 4.71664i | −1.06134 | + | 0.238226i | ||||
\(393\) | 0.976565 | − | 6.79216i | 0.0492612 | − | 0.342619i | ||||
\(394\) | −3.59290 | − | 0.343080i | −0.181008 | − | 0.0172841i | ||||
\(395\) | −21.8218 | + | 5.29390i | −1.09797 | + | 0.266365i | ||||
\(396\) | −2.20343 | − | 0.762614i | −0.110726 | − | 0.0383228i | ||||
\(397\) | −15.2068 | − | 3.68914i | −0.763209 | − | 0.185152i | −0.164782 | − | 0.986330i | \(-0.552692\pi\) |
−0.598427 | + | 0.801178i | \(0.704207\pi\) | |||||||
\(398\) | −10.1131 | − | 6.49931i | −0.506925 | − | 0.325781i | ||||
\(399\) | 6.92671 | + | 2.28007i | 0.346769 | + | 0.114146i | ||||
\(400\) | 10.8300 | − | 12.4985i | 0.541502 | − | 0.624927i | ||||
\(401\) | −22.7758 | + | 1.08495i | −1.13737 | + | 0.0541796i | −0.607803 | − | 0.794088i | \(-0.707949\pi\) |
−0.529567 | + | 0.848268i | \(0.677646\pi\) | |||||||
\(402\) | 7.84036 | − | 6.16573i | 0.391042 | − | 0.307519i | ||||
\(403\) | 10.3623 | − | 8.14902i | 0.516184 | − | 0.405932i | ||||
\(404\) | 9.27743 | − | 0.441938i | 0.461569 | − | 0.0219873i | ||||
\(405\) | 2.24987 | − | 2.59649i | 0.111797 | − | 0.129021i | ||||
\(406\) | −10.3889 | − | 11.6275i | −0.515593 | − | 0.577065i | ||||
\(407\) | −9.47550 | − | 6.08953i | −0.469683 | − | 0.301847i | ||||
\(408\) | 4.95090 | + | 1.20107i | 0.245106 | + | 0.0594620i | ||||
\(409\) | 1.92511 | + | 0.666286i | 0.0951904 | + | 0.0329457i | 0.374248 | − | 0.927329i | \(-0.377901\pi\) |
−0.279058 | + | 0.960274i | \(0.590022\pi\) | |||||||
\(410\) | −0.451475 | + | 0.109527i | −0.0222968 | + | 0.00540914i | ||||
\(411\) | 18.2254 | + | 1.74032i | 0.898995 | + | 0.0858436i | ||||
\(412\) | −1.27818 | + | 8.88996i | −0.0629716 | + | 0.437977i | ||||
\(413\) | −9.36991 | + | 6.88929i | −0.461063 | + | 0.339000i | ||||
\(414\) | 0.955943 | − | 5.58746i | 0.0469820 | − | 0.274609i | ||||
\(415\) | 3.55633 | − | 6.15975i | 0.174574 | − | 0.302370i | ||||
\(416\) | 4.25160 | + | 10.6200i | 0.208452 | + | 0.520688i | ||||
\(417\) | −0.771553 | + | 1.08350i | −0.0377831 | + | 0.0530590i | ||||
\(418\) | −8.69479 | − | 9.11884i | −0.425276 | − | 0.446017i | ||||
\(419\) | −11.0553 | − | 12.7585i | −0.540086 | − | 0.623293i | 0.418458 | − | 0.908236i | \(-0.362571\pi\) |
−0.958544 | + | 0.284943i | \(0.908025\pi\) | |||||||
\(420\) | 3.32177 | − | 4.35872i | 0.162086 | − | 0.212684i | ||||
\(421\) | −1.09578 | + | 1.70507i | −0.0534050 | + | 0.0830998i | −0.866929 | − | 0.498431i | \(-0.833910\pi\) |
0.813524 | + | 0.581531i | \(0.197546\pi\) | |||||||
\(422\) | 0.864906 | + | 1.21459i | 0.0421030 | + | 0.0591254i | ||||
\(423\) | −1.70009 | + | 8.82092i | −0.0826614 | + | 0.428888i | ||||
\(424\) | −5.32621 | + | 10.3314i | −0.258663 | + | 0.501737i | ||||
\(425\) | 10.4591 | + | 4.18718i | 0.507340 | + | 0.203108i | ||||
\(426\) | −18.5410 | + | 2.66580i | −0.898316 | + | 0.129158i | ||||
\(427\) | 4.80124 | + | 30.1344i | 0.232348 | + | 1.45830i | ||||
\(428\) | −5.96061 | − | 5.16490i | −0.288117 | − | 0.249655i | ||||
\(429\) | −10.9870 | + | 7.82381i | −0.530458 | + | 0.377737i | ||||
\(430\) | −16.1645 | − | 0.770012i | −0.779523 | − | 0.0371333i | ||||
\(431\) | −20.1926 | + | 21.1774i | −0.972644 | + | 1.02008i | 0.0271473 | + | 0.999631i | \(0.491358\pi\) |
−0.999791 | + | 0.0204479i | \(0.993491\pi\) | |||||||
\(432\) | −0.460021 | − | 2.38681i | −0.0221328 | − | 0.114836i | ||||
\(433\) | 16.9071 | + | 4.96437i | 0.812503 | + | 0.238572i | 0.661485 | − | 0.749959i | \(-0.269927\pi\) |
0.151018 | + | 0.988531i | \(0.451745\pi\) | |||||||
\(434\) | −10.1462 | + | 6.06536i | −0.487032 | + | 0.291147i | ||||
\(435\) | 16.9558 | + | 2.43788i | 0.812970 | + | 0.116887i | ||||
\(436\) | 8.03290 | + | 4.63780i | 0.384706 | + | 0.222110i | ||||
\(437\) | −7.95162 | + | 10.5593i | −0.380378 | + | 0.505121i | ||||
\(438\) | −0.0653228 | − | 0.113142i | −0.00312125 | − | 0.00540616i | ||||
\(439\) | −9.63317 | + | 12.2496i | −0.459766 | + | 0.584640i | −0.959560 | − | 0.281504i | \(-0.909167\pi\) |
0.499794 | + | 0.866144i | \(0.333409\pi\) | |||||||
\(440\) | −37.1855 | + | 16.9820i | −1.77275 | + | 0.809587i | ||||
\(441\) | −3.88521 | + | 5.82281i | −0.185010 | + | 0.277277i | ||||
\(442\) | 5.15873 | − | 4.47007i | 0.245376 | − | 0.212619i | ||||
\(443\) | −0.495901 | + | 2.04413i | −0.0235610 | + | 0.0971196i | −0.982378 | − | 0.186905i | \(-0.940154\pi\) |
0.958817 | + | 0.284024i | \(0.0916696\pi\) | |||||||
\(444\) | −0.0835463 | + | 1.75385i | −0.00396493 | + | 0.0832342i | ||||
\(445\) | −45.9936 | + | 4.39185i | −2.18030 | + | 0.208194i | ||||
\(446\) | −31.3812 | + | 10.8612i | −1.48595 | + | 0.514291i | ||||
\(447\) | −15.7933 | + | 10.1497i | −0.746997 | + | 0.480066i | ||||
\(448\) | −5.79161 | − | 22.3828i | −0.273628 | − | 1.05749i | ||||
\(449\) | −4.39819 | − | 30.5901i | −0.207563 | − | 1.44363i | −0.781075 | − | 0.624437i | \(-0.785329\pi\) |
0.573512 | − | 0.819197i | \(-0.305581\pi\) | |||||||
\(450\) | −0.382648 | − | 8.03277i | −0.0180382 | − | 0.378669i | ||||
\(451\) | 0.434447 | + | 0.0837327i | 0.0204573 | + | 0.00394282i | ||||
\(452\) | 0.700565 | + | 7.33664i | 0.0329518 | + | 0.345087i | ||||
\(453\) | −3.77483 | − | 7.32214i | −0.177357 | − | 0.344024i | ||||
\(454\) | −23.1962 | + | 6.81103i | −1.08865 | + | 0.319658i | ||||
\(455\) | −9.39257 | − | 30.2779i | −0.440330 | − | 1.41945i | ||||
\(456\) | −2.38905 | + | 8.13635i | −0.111877 | + | 0.381020i | ||||
\(457\) | −1.84287 | + | 19.2994i | −0.0862057 | + | 0.902787i | 0.844145 | + | 0.536115i | \(0.180109\pi\) |
−0.930351 | + | 0.366671i | \(0.880497\pi\) | |||||||
\(458\) | 18.8021 | − | 7.52722i | 0.878564 | − | 0.351724i | ||||
\(459\) | 1.43404 | − | 0.827943i | 0.0669352 | − | 0.0386451i | ||||
\(460\) | 5.54447 | + | 8.24240i | 0.258512 | + | 0.384304i | ||||
\(461\) | − | 19.6843i | − | 0.916787i | −0.888749 | − | 0.458394i | \(-0.848425\pi\) | ||
0.888749 | − | 0.458394i | \(-0.151575\pi\) | |||||||
\(462\) | 10.6647 | − | 5.70483i | 0.496165 | − | 0.265413i | ||||
\(463\) | 3.17776 | + | 6.95832i | 0.147683 | + | 0.323380i | 0.968988 | − | 0.247109i | \(-0.0794807\pi\) |
−0.821305 | + | 0.570490i | \(0.806753\pi\) | |||||||
\(464\) | 8.77146 | − | 8.36357i | 0.407205 | − | 0.388269i | ||||
\(465\) | 4.24749 | − | 12.2723i | 0.196973 | − | 0.569115i | ||||
\(466\) | −11.5305 | − | 10.9943i | −0.534138 | − | 0.509300i | ||||
\(467\) | 17.5905 | − | 9.06851i | 0.813989 | − | 0.419640i | −0.000371439 | − | 1.00000i | \(-0.500118\pi\) |
0.814360 | + | 0.580359i | \(0.197088\pi\) | |||||||
\(468\) | 1.91260 | + | 0.873454i | 0.0884099 | + | 0.0403754i | ||||
\(469\) | 1.78420 | − | 22.2550i | 0.0823868 | − | 1.02764i | ||||
\(470\) | 19.7227 | + | 30.6891i | 0.909740 | + | 1.41558i | ||||
\(471\) | −6.93484 | + | 17.3224i | −0.319541 | + | 0.798174i | ||||
\(472\) | −8.35993 | − | 10.6305i | −0.384797 | − | 0.489309i | ||||
\(473\) | 13.6988 | + | 7.06221i | 0.629870 | + | 0.324721i | ||||
\(474\) | 2.52669 | + | 7.30040i | 0.116055 | + | 0.335319i | ||||
\(475\) | −7.79008 | + | 17.0579i | −0.357433 | + | 0.782670i | ||||
\(476\) | 2.20004 | − | 1.46160i | 0.100839 | − | 0.0669925i | ||||
\(477\) | 1.06440 | + | 3.62500i | 0.0487354 | + | 0.165978i | ||||
\(478\) | −23.2249 | + | 4.47624i | −1.06228 | + | 0.204738i | ||||
\(479\) | −4.18821 | − | 17.2641i | −0.191364 | − | 0.788815i | −0.983860 | − | 0.178938i | \(-0.942734\pi\) |
0.792496 | − | 0.609877i | \(-0.208781\pi\) | |||||||
\(480\) | 9.17961 | + | 6.53677i | 0.418990 | + | 0.298362i | ||||
\(481\) | 7.98396 | + | 6.27865i | 0.364037 | + | 0.286282i | ||||
\(482\) | 22.9444 | 1.04509 | ||||||||
\(483\) | −7.72887 | − | 10.0630i | −0.351676 | − | 0.457884i | ||||
\(484\) | 2.38589 | 0.108450 | ||||||||
\(485\) | −51.9544 | − | 40.8574i | −2.35913 | − | 1.85524i | ||||
\(486\) | −0.962824 | − | 0.685624i | −0.0436746 | − | 0.0311005i | ||||
\(487\) | 8.92307 | + | 36.7814i | 0.404343 | + | 1.66672i | 0.702096 | + | 0.712082i | \(0.252248\pi\) |
−0.297753 | + | 0.954643i | \(0.596237\pi\) | |||||||
\(488\) | −34.8424 | + | 6.71532i | −1.57724 | + | 0.303988i | ||||
\(489\) | −1.58195 | − | 5.38764i | −0.0715384 | − | 0.243637i | ||||
\(490\) | 4.89886 | + | 28.0011i | 0.221308 | + | 1.26496i | ||||
\(491\) | −1.41116 | + | 3.09001i | −0.0636847 | + | 0.139450i | −0.938798 | − | 0.344468i | \(-0.888059\pi\) |
0.875113 | + | 0.483918i | \(0.160787\pi\) | |||||||
\(492\) | −0.0225582 | − | 0.0651777i | −0.00101700 | − | 0.00293844i | ||||
\(493\) | 7.33848 | + | 3.78325i | 0.330508 | + | 0.170389i | ||||
\(494\) | 7.02347 | + | 8.93107i | 0.316001 | + | 0.401828i | ||||
\(495\) | −4.93839 | + | 12.3355i | −0.221964 | + | 0.554440i | ||||
\(496\) | −4.96745 | − | 7.72950i | −0.223045 | − | 0.347065i | ||||
\(497\) | −23.7991 | + | 34.5198i | −1.06753 | + | 1.54842i | ||||
\(498\) | −2.22590 | − | 1.01653i | −0.0997449 | − | 0.0455519i | ||||
\(499\) | −23.6444 | + | 12.1896i | −1.05847 | + | 0.545680i | −0.897379 | − | 0.441260i | \(-0.854532\pi\) |
−0.161091 | + | 0.986939i | \(0.551501\pi\) | |||||||
\(500\) | 2.70384 | + | 2.57810i | 0.120919 | + | 0.115296i | ||||
\(501\) | 3.72425 | − | 10.7605i | 0.166387 | − | 0.480744i | ||||
\(502\) | 16.8023 | − | 16.0209i | 0.749923 | − | 0.715050i | ||||
\(503\) | −9.45348 | − | 20.7002i | −0.421510 | − | 0.922978i | −0.994629 | − | 0.103506i | \(-0.966994\pi\) |
0.573119 | − | 0.819472i | \(-0.305733\pi\) | |||||||
\(504\) | −6.91383 | − | 4.29618i | −0.307967 | − | 0.191367i | ||||
\(505\) | − | 52.9285i | − | 2.35529i | ||||||
\(506\) | 3.57398 | + | 21.6301i | 0.158883 | + | 0.961575i | ||||
\(507\) | −0.724909 | + | 0.418526i | −0.0321943 | + | 0.0185874i | ||||
\(508\) | 1.37488 | − | 0.550418i | 0.0610004 | − | 0.0244209i | ||||
\(509\) | 1.10057 | − | 11.5257i | 0.0487820 | − | 0.510868i | −0.937751 | − | 0.347308i | \(-0.887096\pi\) |
0.986533 | − | 0.163561i | \(-0.0522980\pi\) | |||||||
\(510\) | 1.89448 | − | 6.45202i | 0.0838892 | − | 0.285700i | ||||
\(511\) | −0.285206 | − | 0.0646166i | −0.0126168 | − | 0.00285847i | ||||
\(512\) | 22.0010 | − | 6.46009i | 0.972318 | − | 0.285498i | ||||
\(513\) | 1.26298 | + | 2.44984i | 0.0557620 | + | 0.108163i | ||||
\(514\) | 0.491981 | + | 5.15225i | 0.0217003 | + | 0.227256i | ||||
\(515\) | 50.2565 | + | 9.68616i | 2.21457 | + | 0.426823i | ||||
\(516\) | −0.114317 | − | 2.39982i | −0.00503255 | − | 0.105646i | ||||
\(517\) | −4.94439 | − | 34.3890i | −0.217454 | − | 1.51243i | ||||
\(518\) | −6.38453 | − | 6.49530i | −0.280520 | − | 0.285387i | ||||
\(519\) | 14.9267 | − | 9.59280i | 0.655209 | − | 0.421077i | ||||
\(520\) | 34.8362 | − | 12.0569i | 1.52767 | − | 0.528732i | ||||
\(521\) | −2.48001 | + | 0.236812i | −0.108651 | + | 0.0103749i | −0.149240 | − | 0.988801i | \(-0.547683\pi\) |
0.0405889 | + | 0.999176i | \(0.487077\pi\) | |||||||
\(522\) | 0.280421 | − | 5.88677i | 0.0122737 | − | 0.257657i | ||||
\(523\) | 9.59509 | − | 39.5515i | 0.419564 | − | 1.72947i | −0.233676 | − | 0.972315i | \(-0.575076\pi\) |
0.653240 | − | 0.757151i | \(-0.273409\pi\) | |||||||
\(524\) | 3.12657 | − | 2.70918i | 0.136585 | − | 0.118351i | ||||
\(525\) | −13.7817 | − | 11.5799i | −0.601482 | − | 0.505387i | ||||
\(526\) | −30.7550 | + | 14.0453i | −1.34098 | + | 0.612406i | ||||
\(527\) | 3.86916 | − | 4.92004i | 0.168543 | − | 0.214320i | ||||
\(528\) | 4.70042 | + | 8.14137i | 0.204560 | + | 0.354308i | ||||
\(529\) | 21.7775 | − | 7.39868i | 0.946848 | − | 0.321682i | ||||
\(530\) | 13.2868 | + | 7.67114i | 0.577142 | + | 0.333213i | ||||
\(531\) | −4.35099 | − | 0.625578i | −0.188817 | − | 0.0271478i | ||||
\(532\) | 2.25585 | + | 3.77361i | 0.0978037 | + | 0.163607i | ||||
\(533\) | −0.382815 | − | 0.112405i | −0.0165816 | − | 0.00486879i | ||||
\(534\) | 3.00825 | + | 15.6083i | 0.130180 | + | 0.675436i | ||||
\(535\) | −31.0157 | + | 32.5283i | −1.34093 | + | 1.40632i | ||||
\(536\) | 25.9327 | + | 1.23533i | 1.12012 | + | 0.0533580i | ||||
\(537\) | −5.44465 | + | 3.87712i | −0.234954 | + | 0.167310i | ||||
\(538\) | −3.17468 | − | 2.75088i | −0.136870 | − | 0.118599i | ||||
\(539\) | 6.83411 | − | 26.1956i | 0.294366 | − | 1.12832i | ||||
\(540\) | 2.05024 | − | 0.294779i | 0.0882281 | − | 0.0126853i | ||||
\(541\) | −5.30983 | − | 2.12574i | −0.228287 | − | 0.0913925i | 0.254699 | − | 0.967020i | \(-0.418024\pi\) |
−0.482986 | + | 0.875628i | \(0.660448\pi\) | |||||||
\(542\) | −1.57325 | + | 3.05168i | −0.0675768 | + | 0.131081i | ||||
\(543\) | −3.37653 | + | 17.5191i | −0.144901 | + | 0.751817i | ||||
\(544\) | 3.15054 | + | 4.42432i | 0.135078 | + | 0.189691i | ||||
\(545\) | 28.5772 | − | 44.4670i | 1.22411 | − | 1.90476i | ||||
\(546\) | −10.0624 | + | 4.20695i | −0.430632 | + | 0.180041i | ||||
\(547\) | 20.5504 | + | 23.7164i | 0.878672 | + | 1.01404i | 0.999771 | + | 0.0214011i | \(0.00681270\pi\) |
−0.121099 | + | 0.992640i | \(0.538642\pi\) | |||||||
\(548\) | 7.61704 | + | 7.98853i | 0.325384 | + | 0.341253i | ||||
\(549\) | −6.69002 | + | 9.39481i | −0.285523 | + | 0.400961i | ||||
\(550\) | 11.5594 | + | 28.8740i | 0.492894 | + | 1.23119i | ||||
\(551\) | −6.87133 | + | 11.9015i | −0.292729 | + | 0.507021i | ||||
\(552\) | 11.4045 | − | 9.36184i | 0.485406 | − | 0.398466i | ||||
\(553\) | 15.8368 | + | 6.94350i | 0.673451 | + | 0.295268i | ||||
\(554\) | 2.47361 | − | 17.2044i | 0.105094 | − | 0.730944i | ||||
\(555\) | 9.96057 | + | 0.951119i | 0.422803 | + | 0.0403728i | ||||
\(556\) | −0.779320 | + | 0.189061i | −0.0330505 | + | 0.00801798i | ||||
\(557\) | −8.33657 | − | 2.88532i | −0.353232 | − | 0.122255i | 0.144689 | − | 0.989477i | \(-0.453782\pi\) |
−0.497921 | + | 0.867222i | \(0.665903\pi\) | |||||||
\(558\) | −4.34193 | − | 1.05334i | −0.183809 | − | 0.0445915i | ||||
\(559\) | −11.6917 | − | 7.51381i | −0.494507 | − | 0.317800i | ||||
\(560\) | −21.6298 | + | 4.51080i | −0.914024 | + | 0.190616i | ||||
\(561\) | −4.19380 | + | 4.83990i | −0.177062 | + | 0.204341i | ||||
\(562\) | 36.9309 | − | 1.75924i | 1.55784 | − | 0.0742090i | ||||
\(563\) | 6.10754 | − | 4.80303i | 0.257402 | − | 0.202423i | −0.481116 | − | 0.876657i | \(-0.659768\pi\) |
0.738518 | + | 0.674234i | \(0.235526\pi\) | |||||||
\(564\) | −4.25721 | + | 3.34790i | −0.179261 | + | 0.140972i | ||||
\(565\) | 41.9513 | − | 1.99839i | 1.76491 | − | 0.0840729i | ||||
\(566\) | 10.7909 | − | 12.4534i | 0.453576 | − | 0.523455i | ||||
\(567\) | −2.59003 | + | 0.540141i | −0.108771 | + | 0.0226838i | ||||
\(568\) | −41.0166 | − | 26.3598i | −1.72102 | − | 1.10603i | ||||
\(569\) | 11.7739 | + | 2.85633i | 0.493589 | + | 0.119743i | 0.474824 | − | 0.880081i | \(-0.342512\pi\) |
0.0187645 | + | 0.999824i | \(0.494027\pi\) | |||||||
\(570\) | 10.5772 | + | 3.66082i | 0.443032 | + | 0.153335i | ||||
\(571\) | −21.9956 | + | 5.33606i | −0.920485 | + | 0.223307i | −0.667886 | − | 0.744264i | \(-0.732801\pi\) |
−0.252599 | + | 0.967571i | \(0.581285\pi\) | |||||||
\(572\) | −8.09497 | − | 0.772976i | −0.338468 | − | 0.0323198i | ||||
\(573\) | −1.24087 | + | 8.63044i | −0.0518381 | + | 0.360542i | ||||
\(574\) | 0.327652 | + | 0.143656i | 0.0136759 | + | 0.00599607i | ||||
\(575\) | 27.9097 | − | 16.9031i | 1.16392 | − | 0.704906i | ||||
\(576\) | 4.36926 | − | 7.56778i | 0.182052 | − | 0.315324i | ||||
\(577\) | −9.69975 | − | 24.2288i | −0.403806 | − | 1.00866i | −0.981338 | − | 0.192291i | \(-0.938408\pi\) |
0.577532 | − | 0.816368i | \(-0.304016\pi\) | |||||||
\(578\) | −9.77565 | + | 13.7280i | −0.406613 | + | 0.571009i | ||||
\(579\) | −12.2248 | − | 12.8210i | −0.508045 | − | 0.532823i | ||||
\(580\) | 6.76317 | + | 7.80511i | 0.280825 | + | 0.324089i | ||||
\(581\) | −5.05350 | + | 2.11279i | −0.209654 | + | 0.0876534i | ||||
\(582\) | −12.2938 | + | 19.1295i | −0.509594 | + | 0.792944i | ||||
\(583\) | −8.47550 | − | 11.9022i | −0.351020 | − | 0.492938i | ||||
\(584\) | 0.0643561 | − | 0.333911i | 0.00266307 | − | 0.0138173i | ||||
\(585\) | 5.49045 | − | 10.6500i | 0.227002 | − | 0.440323i | ||||
\(586\) | 9.76416 | + | 3.90898i | 0.403354 | + | 0.161478i | ||||
\(587\) | −6.40991 | + | 0.921607i | −0.264565 | + | 0.0380388i | −0.273321 | − | 0.961923i | \(-0.588122\pi\) |
0.00875547 | + | 0.999962i | \(0.497213\pi\) | |||||||
\(588\) | −4.06914 | + | 1.11916i | −0.167808 | + | 0.0461533i | ||||
\(589\) | 7.87373 | + | 6.82263i | 0.324432 | + | 0.281122i | ||||
\(590\) | −14.5407 | + | 10.3544i | −0.598633 | + | 0.426285i | ||||
\(591\) | −3.05006 | − | 0.145292i | −0.125463 | − | 0.00597653i | ||||
\(592\) | 4.88522 | − | 5.12347i | 0.200781 | − | 0.210574i | ||||
\(593\) | 4.48319 | + | 23.2610i | 0.184103 | + | 0.955215i | 0.950000 | + | 0.312251i | \(0.101083\pi\) |
−0.765897 | + | 0.642963i | \(0.777705\pi\) | |||||||
\(594\) | 4.38617 | + | 1.28790i | 0.179967 | + | 0.0528430i | ||||
\(595\) | −7.72315 | − | 12.9193i | −0.316618 | − | 0.529641i | ||||
\(596\) | −11.2032 | − | 1.61077i | −0.458900 | − | 0.0659799i | ||||
\(597\) | −8.80793 | − | 5.08526i | −0.360485 | − | 0.208126i | ||||
\(598\) | −1.35420 | − | 19.7232i | −0.0553774 | − | 0.806541i | ||||
\(599\) | −11.3719 | − | 19.6967i | −0.464643 | − | 0.804785i | 0.534542 | − | 0.845142i | \(-0.320484\pi\) |
−0.999185 | + | 0.0403563i | \(0.987151\pi\) | |||||||
\(600\) | 12.9394 | − | 16.4538i | 0.528249 | − | 0.671723i | ||||
\(601\) | 35.3361 | − | 16.1375i | 1.44139 | − | 0.658261i | 0.467233 | − | 0.884134i | \(-0.345251\pi\) |
0.974157 | + | 0.225873i | \(0.0725236\pi\) | |||||||
\(602\) | 9.54129 | + | 8.01694i | 0.388874 | + | 0.326746i | ||||
\(603\) | 6.37745 | − | 5.52609i | 0.259710 | − | 0.225040i | ||||
\(604\) | 1.17091 | − | 4.82656i | 0.0476437 | − | 0.196390i | ||||
\(605\) | 0.646937 | − | 13.5809i | 0.0263017 | − | 0.552142i | ||||
\(606\) | −18.1270 | + | 1.73092i | −0.736358 | + | 0.0703137i | ||||
\(607\) | −8.23083 | + | 2.84872i | −0.334079 | + | 0.115626i | −0.488957 | − | 0.872308i | \(-0.662623\pi\) |
0.154878 | + | 0.987934i | \(0.450501\pi\) | |||||||
\(608\) | −7.60551 | + | 4.88776i | −0.308444 | + | 0.198225i | ||||
\(609\) | −9.24743 | − | 9.40787i | −0.374725 | − | 0.381226i | ||||
\(610\) | 6.66546 | + | 46.3593i | 0.269877 | + | 1.87703i | ||||
\(611\) | 1.49072 | + | 31.2940i | 0.0603080 | + | 1.26602i | ||||
\(612\) | 0.980278 | + | 0.188933i | 0.0396254 | + | 0.00763717i | ||||
\(613\) | 3.83948 | + | 40.2088i | 0.155075 | + | 1.62402i | 0.653389 | + | 0.757022i | \(0.273347\pi\) |
−0.498314 | + | 0.866997i | \(0.666047\pi\) | |||||||
\(614\) | 11.4677 | + | 22.2442i | 0.462797 | + | 0.897701i | ||||
\(615\) | −0.377119 | + | 0.110732i | −0.0152069 | + | 0.00446515i | ||||
\(616\) | 30.7029 | + | 6.95607i | 1.23705 | + | 0.280268i | ||||
\(617\) | 2.47415 | − | 8.42619i | 0.0996056 | − | 0.339225i | −0.894580 | − | 0.446908i | \(-0.852525\pi\) |
0.994185 | + | 0.107683i | \(0.0343432\pi\) | |||||||
\(618\) | 1.67378 | − | 17.5287i | 0.0673294 | − | 0.705106i | ||||
\(619\) | −42.2301 | + | 16.9064i | −1.69737 | + | 0.679524i | −0.999332 | − | 0.0365376i | \(-0.988367\pi\) |
−0.698037 | + | 0.716062i | \(0.745943\pi\) | |||||||
\(620\) | 6.78053 | − | 3.91474i | 0.272313 | − | 0.157220i | ||||
\(621\) | 0.582912 | − | 4.76027i | 0.0233915 | − | 0.191023i | ||||
\(622\) | 6.37471i | 0.255602i | ||||||||
\(623\) | 30.2209 | + | 18.7790i | 1.21077 | + | 0.752363i | ||||
\(624\) | −3.52160 | − | 7.71123i | −0.140977 | − | 0.308696i | ||||
\(625\) | −9.21206 | + | 8.78368i | −0.368482 | + | 0.351347i | ||||
\(626\) | 1.36829 | − | 3.95341i | 0.0546878 | − | 0.158010i | ||||
\(627\) | −7.71479 | − | 7.35604i | −0.308099 | − | 0.293772i | ||||
\(628\) | −9.99880 | + | 5.15474i | −0.398996 | + | 0.205697i | ||||
\(629\) | 4.38675 | + | 2.00336i | 0.174911 | + | 0.0798793i | ||||
\(630\) | −6.09848 | + | 8.84565i | −0.242969 | + | 0.352419i | ||||
\(631\) | 5.28938 | + | 8.23043i | 0.210567 | + | 0.327648i | 0.930431 | − | 0.366466i | \(-0.119433\pi\) |
−0.719865 | + | 0.694114i | \(0.755796\pi\) | |||||||
\(632\) | −7.47342 | + | 18.6677i | −0.297277 | + | 0.742561i | ||||
\(633\) | 0.779800 | + | 0.991597i | 0.0309943 | + | 0.0394124i | ||||
\(634\) | 18.3532 | + | 9.46171i | 0.728897 | + | 0.375772i | ||||
\(635\) | −2.76027 | − | 7.97528i | −0.109538 | − | 0.316489i | ||||
\(636\) | −0.946210 | + | 2.07191i | −0.0375197 | + | 0.0821566i | ||||
\(637\) | −8.38025 | + | 22.9294i | −0.332038 | + | 0.908495i | ||||
\(638\) | 6.42147 | + | 21.8695i | 0.254229 | + | 0.865823i | ||||
\(639\) | −15.5611 | + | 2.99917i | −0.615590 | + | 0.118645i | ||||
\(640\) | −3.05260 | − | 12.5830i | −0.120664 | − | 0.497386i | ||||
\(641\) | −10.2993 | − | 7.33406i | −0.406796 | − | 0.289678i | 0.358285 | − | 0.933612i | \(-0.383362\pi\) |
−0.765081 | + | 0.643934i | \(0.777301\pi\) | |||||||
\(642\) | 12.1546 | + | 9.55850i | 0.479705 | + | 0.377244i | ||||
\(643\) | 36.2457 | 1.42939 | 0.714696 | − | 0.699435i | \(-0.246565\pi\) | ||||
0.714696 | + | 0.699435i | \(0.246565\pi\) | |||||||
\(644\) | 0.451437 | − | 7.63649i | 0.0177891 | − | 0.300920i | ||||
\(645\) | −13.6912 | −0.539089 | ||||||||
\(646\) | 4.24048 | + | 3.33475i | 0.166839 | + | 0.131204i | ||||
\(647\) | 26.9614 | + | 19.1991i | 1.05996 | + | 0.754794i | 0.970477 | − | 0.241194i | \(-0.0775390\pi\) |
0.0894833 | + | 0.995988i | \(0.471478\pi\) | |||||||
\(648\) | −0.725336 | − | 2.98988i | −0.0284939 | − | 0.117453i | ||||
\(649\) | 16.6932 | − | 3.21735i | 0.655266 | − | 0.126292i | ||||
\(650\) | −7.90158 | − | 26.9103i | −0.309926 | − | 1.05551i | ||||
\(651\) | −8.33006 | + | 5.53409i | −0.326481 | + | 0.216898i | ||||
\(652\) | 1.40630 | − | 3.07936i | 0.0550749 | − | 0.120597i | ||||
\(653\) | −11.3826 | − | 32.8877i | −0.445434 | − | 1.28700i | −0.914769 | − | 0.403976i | \(-0.867628\pi\) |
0.469336 | − | 0.883020i | \(-0.344493\pi\) | |||||||
\(654\) | −16.1637 | − | 8.33294i | −0.632049 | − | 0.325844i | ||||
\(655\) | −14.5734 | − | 18.5315i | −0.569428 | − | 0.724087i | ||||
\(656\) | −0.103351 | + | 0.258159i | −0.00403519 | + | 0.0100794i | ||||
\(657\) | −0.0597570 | − | 0.0929837i | −0.00233134 | − | 0.00362764i | ||||
\(658\) | 2.24504 | − | 28.0032i | 0.0875208 | − | 1.09168i | ||||
\(659\) | 43.9644 | + | 20.0779i | 1.71261 | + | 0.782122i | 0.996450 | + | 0.0841847i | \(0.0268286\pi\) |
0.716159 | + | 0.697938i | \(0.245899\pi\) | |||||||
\(660\) | −7.12027 | + | 3.67076i | −0.277156 | + | 0.142884i | ||||
\(661\) | −19.8103 | − | 18.8891i | −0.770531 | − | 0.734700i | 0.198912 | − | 0.980017i | \(-0.436259\pi\) |
−0.969443 | + | 0.245318i | \(0.921108\pi\) | |||||||
\(662\) | 4.51290 | − | 13.0392i | 0.175399 | − | 0.506781i | ||||
\(663\) | 4.17954 | − | 3.98519i | 0.162320 | − | 0.154772i | ||||
\(664\) | −2.64593 | − | 5.79377i | −0.102682 | − | 0.224842i | ||||
\(665\) | 22.0917 | − | 11.8175i | 0.856678 | − | 0.458262i | ||||
\(666\) | − | 3.44241i | − | 0.133391i | ||||||
\(667\) | 21.5383 | − | 10.3870i | 0.833968 | − | 0.402186i | ||||
\(668\) | 5.94525 | − | 3.43249i | 0.230029 | − | 0.132807i | ||||
\(669\) | −26.0821 | + | 10.4417i | −1.00839 | + | 0.403700i | ||||
\(670\) | 3.25741 | − | 34.1131i | 0.125845 | − | 1.31790i | ||||
\(671\) | 12.5667 | − | 42.7983i | 0.485133 | − | 1.65221i | ||||
\(672\) | −2.57123 | − | 8.28862i | −0.0991874 | − | 0.319741i | ||||
\(673\) | 22.5215 | − | 6.61292i | 0.868141 | − | 0.254909i | 0.182817 | − | 0.983147i | \(-0.441479\pi\) |
0.685324 | + | 0.728238i | \(0.259660\pi\) | |||||||
\(674\) | −3.74453 | − | 7.26337i | −0.144234 | − | 0.279775i | ||||
\(675\) | −0.646729 | − | 6.77285i | −0.0248926 | − | 0.260687i | ||||
\(676\) | −0.495532 | − | 0.0955059i | −0.0190589 | − | 0.00367330i | ||||
\(677\) | −0.198928 | − | 4.17601i | −0.00764541 | − | 0.160497i | −0.999461 | − | 0.0328204i | \(-0.989551\pi\) |
0.991816 | − | 0.127677i | \(-0.0407520\pi\) | |||||||
\(678\) | −2.05634 | − | 14.3022i | −0.0789733 | − | 0.549271i | ||||
\(679\) | 12.7504 | + | 49.2763i | 0.489315 | + | 1.89105i | ||||
\(680\) | 14.7244 | − | 9.46278i | 0.564654 | − | 0.362881i | ||||
\(681\) | −19.3283 | + | 6.68958i | −0.740661 | + | 0.256345i | ||||
\(682\) | 17.2012 | − | 1.64251i | 0.658668 | − | 0.0628951i | ||||
\(683\) | −1.32987 | + | 27.9174i | −0.0508860 | + | 1.06823i | 0.818629 | + | 0.574323i | \(0.194735\pi\) |
−0.869515 | + | 0.493907i | \(0.835568\pi\) | |||||||
\(684\) | −0.391763 | + | 1.61487i | −0.0149794 | + | 0.0617461i | ||||
\(685\) | 47.5374 | − | 41.1914i | 1.81631 | − | 1.57384i | ||||
\(686\) | 10.0699 | − | 19.4372i | 0.384469 | − | 0.742117i | ||||
\(687\) | 15.5861 | − | 7.11792i | 0.594646 | − | 0.271566i | ||||
\(688\) | −5.98785 | + | 7.61417i | −0.228285 | + | 0.290288i | ||||
\(689\) | 6.58804 | + | 11.4108i | 0.250984 | + | 0.434717i | ||||
\(690\) | −11.6268 | − | 15.6241i | −0.442623 | − | 0.594798i | ||||
\(691\) | −5.20252 | − | 3.00368i | −0.197913 | − | 0.114265i | 0.397769 | − | 0.917486i | \(-0.369785\pi\) |
−0.595682 | + | 0.803221i | \(0.703118\pi\) | |||||||
\(692\) | 10.5884 | + | 1.52239i | 0.402512 | + | 0.0578725i | ||||
\(693\) | 8.78273 | − | 5.25030i | 0.333628 | − | 0.199442i | ||||
\(694\) | −33.9102 | − | 9.95693i | −1.28721 | − | 0.377960i | ||||
\(695\) | 0.864853 | + | 4.48728i | 0.0328058 | + | 0.170212i | ||||
\(696\) | 10.5858 | − | 11.1021i | 0.401254 | − | 0.420823i | ||||
\(697\) | −0.189220 | − | 0.00901365i | −0.00716721 | − | 0.000341416i | ||||
\(698\) | 11.7973 | − | 8.40085i | 0.446536 | − | 0.317977i | ||||
\(699\) | −10.1866 | − | 8.82676i | −0.385293 | − | 0.333859i | ||||
\(700\) | −1.70757 | − | 10.7173i | −0.0645400 | − | 0.405077i | ||||
\(701\) | −4.19665 | + | 0.603388i | −0.158505 | + | 0.0227896i | −0.221111 | − | 0.975249i | \(-0.570968\pi\) |
0.0626052 | + | 0.998038i | \(0.480059\pi\) | |||||||
\(702\) | −3.82697 | − | 1.53209i | −0.144440 | − | 0.0578249i | ||||
\(703\) | −3.67827 | + | 7.13485i | −0.138729 | + | 0.269096i | ||||
\(704\) | −6.39595 | + | 33.1853i | −0.241056 | + | 1.25072i | ||||
\(705\) | 17.9025 | + | 25.1405i | 0.674246 | + | 0.946846i | ||||
\(706\) | 16.7655 | − | 26.0877i | 0.630980 | − | 0.981823i | ||||
\(707\) | −24.7060 | + | 32.4185i | −0.929167 | + | 1.21922i | ||||
\(708\) | −1.73548 | − | 2.00285i | −0.0652233 | − | 0.0752717i | ||||
\(709\) | 29.5215 | + | 30.9613i | 1.10870 | + | 1.16278i | 0.985373 | + | 0.170409i | \(0.0545090\pi\) |
0.123330 | + | 0.992366i | \(0.460642\pi\) | |||||||
\(710\) | −37.3298 | + | 52.4224i | −1.40096 | + | 1.96738i | ||||
\(711\) | 2.42912 | + | 6.06764i | 0.0910990 | + | 0.227554i | ||||
\(712\) | −20.6872 | + | 35.8312i | −0.775284 | + | 1.34283i | ||||
\(713\) | −4.64200 | − | 17.5236i | −0.173844 | − | 0.656264i | ||||
\(714\) | −4.17205 | + | 3.06753i | −0.156135 | + | 0.114799i | ||||
\(715\) | −6.59487 | + | 45.8683i | −0.246634 | + | 1.71538i | ||||
\(716\) | −4.01149 | − | 0.383051i | −0.149917 | − | 0.0143153i | ||||
\(717\) | −19.4465 | + | 4.71767i | −0.726243 | + | 0.176185i | ||||
\(718\) | −13.8713 | − | 4.80092i | −0.517674 | − | 0.179169i | ||||
\(719\) | −19.3699 | − | 4.69909i | −0.722376 | − | 0.175246i | −0.142317 | − | 0.989821i | \(-0.545455\pi\) |
−0.580059 | + | 0.814575i | \(0.696970\pi\) | |||||||
\(720\) | −7.02545 | − | 4.51498i | −0.261823 | − | 0.168263i | ||||
\(721\) | −26.2606 | − | 29.3916i | −0.977996 | − | 1.09460i | ||||
\(722\) | 8.82651 | − | 10.1863i | 0.328489 | − | 0.379096i | ||||
\(723\) | 19.3896 | − | 0.923642i | 0.721108 | − | 0.0343506i | ||||
\(724\) | −8.45517 | + | 6.64922i | −0.314234 | + | 0.247116i | ||||
\(725\) | 26.6654 | − | 20.9699i | 0.990329 | − | 0.778803i | ||||
\(726\) | −4.67235 | + | 0.222571i | −0.173407 | + | 0.00826039i | ||||
\(727\) | 7.89834 | − | 9.11517i | 0.292933 | − | 0.338063i | −0.590138 | − | 0.807303i | \(-0.700927\pi\) |
0.883071 | + | 0.469240i | \(0.155472\pi\) | |||||||
\(728\) | −26.9650 | − | 8.87608i | −0.999389 | − | 0.328970i | ||||
\(729\) | −0.841254 | − | 0.540641i | −0.0311575 | − | 0.0200237i | ||||
\(730\) | −0.436200 | − | 0.105821i | −0.0161445 | − | 0.00391661i | ||||
\(731\) | −6.23584 | − | 2.15824i | −0.230641 | − | 0.0798255i | ||||
\(732\) | −6.75736 | + | 1.63932i | −0.249759 | + | 0.0605910i | ||||
\(733\) | 25.3378 | + | 2.41947i | 0.935874 | + | 0.0893652i | 0.551837 | − | 0.833952i | \(-0.313927\pi\) |
0.384038 | + | 0.923317i | \(0.374533\pi\) | |||||||
\(734\) | −4.01550 | + | 27.9284i | −0.148215 | + | 1.03086i | ||||
\(735\) | 5.26708 | + | 23.4657i | 0.194279 | + | 0.865544i | ||||
\(736\) | 15.7251 | + | 0.419127i | 0.579636 | + | 0.0154492i | ||||
\(737\) | −16.3180 | + | 28.2636i | −0.601082 | + | 1.04110i | ||||
\(738\) | 0.0502565 | + | 0.125535i | 0.00184997 | + | 0.00462099i | ||||
\(739\) | 23.6893 | − | 33.2669i | 0.871424 | − | 1.22374i | −0.102012 | − | 0.994783i | \(-0.532528\pi\) |
0.973436 | − | 0.228961i | \(-0.0735327\pi\) | |||||||
\(740\) | 4.16287 | + | 4.36589i | 0.153030 | + | 0.160493i | ||||
\(741\) | 6.29485 | + | 7.26464i | 0.231247 | + | 0.266873i | ||||
\(742\) | −4.55737 | − | 10.9006i | −0.167306 | − | 0.400173i | ||||
\(743\) | −8.42720 | + | 13.1130i | −0.309164 | + | 0.481069i | −0.960715 | − | 0.277536i | \(-0.910482\pi\) |
0.651551 | + | 0.758605i | \(0.274119\pi\) | |||||||
\(744\) | −6.74571 | − | 9.47302i | −0.247310 | − | 0.347298i | ||||
\(745\) | −12.2066 | + | 63.3336i | −0.447213 | + | 2.32036i | ||||
\(746\) | 1.42427 | − | 2.76270i | 0.0521463 | − | 0.101150i | ||||
\(747\) | −1.92196 | − | 0.769437i | −0.0703208 | − | 0.0281522i | ||||
\(748\) | −3.82168 | + | 0.549475i | −0.139734 | + | 0.0200908i | ||||
\(749\) | 34.1806 | − | 5.44592i | 1.24893 | − | 0.198989i | ||||
\(750\) | −5.53549 | − | 4.79653i | −0.202128 | − | 0.175144i | ||||
\(751\) | 0.463311 | − | 0.329922i | 0.0169064 | − | 0.0120390i | −0.571572 | − | 0.820552i | \(-0.693666\pi\) |
0.588479 | + | 0.808513i | \(0.299727\pi\) | |||||||
\(752\) | 21.8113 | + | 1.03900i | 0.795375 | + | 0.0378884i | ||||
\(753\) | 13.5542 | − | 14.2152i | 0.493941 | − | 0.518031i | ||||
\(754\) | −3.88980 | − | 20.1822i | −0.141658 | − | 0.734993i | ||||
\(755\) | −27.1561 | − | 7.97374i | −0.988311 | − | 0.290194i | ||||
\(756\) | −1.39336 | − | 0.776461i | −0.0506760 | − | 0.0282396i | ||||
\(757\) | 44.2091 | + | 6.35631i | 1.60681 | + | 0.231024i | 0.886533 | − | 0.462666i | \(-0.153107\pi\) |
0.720274 | + | 0.693690i | \(0.244016\pi\) | |||||||
\(758\) | −4.76435 | − | 2.75070i | −0.173049 | − | 0.0999098i | ||||
\(759\) | 3.89100 | + | 18.1351i | 0.141234 | + | 0.658261i | ||||
\(760\) | 14.5669 | + | 25.2306i | 0.528396 | + | 0.915209i | ||||
\(761\) | −3.91941 | + | 4.98394i | −0.142079 | + | 0.180668i | −0.851885 | − | 0.523730i | \(-0.824540\pi\) |
0.709806 | + | 0.704397i | \(0.248783\pi\) | |||||||
\(762\) | −2.64111 | + | 1.20615i | −0.0956773 | + | 0.0436944i | ||||
\(763\) | −38.2598 | + | 13.8966i | −1.38510 | + | 0.503089i | ||||
\(764\) | −3.97276 | + | 3.44242i | −0.143730 | + | 0.124542i | ||||
\(765\) | 1.34124 | − | 5.52867i | 0.0484927 | − | 0.199890i | ||||
\(766\) | −0.970552 | + | 20.3744i | −0.0350675 | + | 0.736157i | ||||
\(767\) | −15.2609 | + | 1.45724i | −0.551039 | + | 0.0526178i | ||||
\(768\) | 12.3062 | − | 4.25922i | 0.444062 | − | 0.153691i | ||||
\(769\) | −2.39609 | + | 1.53987i | −0.0864051 | + | 0.0555292i | −0.583130 | − | 0.812379i | \(-0.698172\pi\) |
0.496725 | + | 0.867908i | \(0.334536\pi\) | |||||||
\(770\) | 11.0994 | − | 40.0430i | 0.399996 | − | 1.44305i | ||||
\(771\) | 0.623165 | + | 4.33421i | 0.0224427 | + | 0.156093i | ||||
\(772\) | −0.508187 | − | 10.6682i | −0.0182901 | − | 0.383955i | ||||
\(773\) | −17.5303 | − | 3.37869i | −0.630521 | − | 0.121523i | −0.136029 | − | 0.990705i | \(-0.543434\pi\) |
−0.494493 | + | 0.869182i | \(0.664646\pi\) | |||||||
\(774\) | 0.447741 | + | 4.68896i | 0.0160937 | + | 0.168541i | ||||
\(775\) | −11.7844 | − | 22.8586i | −0.423309 | − | 0.821106i | ||||
\(776\) | −56.7904 | + | 16.6752i | −2.03866 | + | 0.598604i | ||||
\(777\) | −5.65684 | − | 5.23197i | −0.202938 | − | 0.187696i | ||||
\(778\) | 0.452080 | − | 1.53964i | 0.0162079 | − | 0.0551989i | ||||
\(779\) | 0.0299726 | − | 0.313888i | 0.00107388 | − | 0.0112462i | ||||
\(780\) | 6.70635 | − | 2.68482i | 0.240126 | − | 0.0961320i | ||||
\(781\) | 53.0787 | − | 30.6450i | 1.89931 | − | 1.09657i | ||||
\(782\) | −2.83263 | − | 8.94902i | −0.101295 | − | 0.320016i | ||||
\(783\) | − | 4.98602i | − | 0.178186i | ||||||
\(784\) | 15.3537 | + | 7.33352i | 0.548346 | + | 0.261911i | ||||
\(785\) | 26.6304 | + | 58.3125i | 0.950481 | + | 2.08126i | ||||
\(786\) | −5.87009 | + | 5.59712i | −0.209379 | + | 0.199643i | ||||
\(787\) | 1.42071 | − | 4.10487i | 0.0506428 | − | 0.146323i | −0.916843 | − | 0.399248i | \(-0.869271\pi\) |
0.967486 | + | 0.252925i | \(0.0813925\pi\) | |||||||
\(788\) | −1.33235 | − | 1.27039i | −0.0474630 | − | 0.0452559i | ||||
\(789\) | −25.4247 | + | 13.1074i | −0.905144 | + | 0.466634i | ||||
\(790\) | 24.1429 | + | 11.0257i | 0.858965 | + | 0.392276i | ||||
\(791\) | −26.6278 | − | 18.3581i | −0.946777 | − | 0.652739i | ||||
\(792\) | 6.43292 | + | 10.0098i | 0.228584 | + | 0.355684i | ||||
\(793\) | −14.9494 | + | 37.3419i | −0.530870 | + | 1.32605i | ||||
\(794\) | 11.4333 | + | 14.5386i | 0.405753 | + | 0.515957i | ||||
\(795\) | 11.5371 | + | 5.94778i | 0.409178 | + | 0.210946i | ||||
\(796\) | −2.00549 | − | 5.79448i | −0.0710826 | − | 0.205380i | ||||
\(797\) | 8.84231 | − | 19.3620i | 0.313211 | − | 0.685836i | −0.685913 | − | 0.727683i | \(-0.740597\pi\) |
0.999124 | + | 0.0418476i | \(0.0133244\pi\) | |||||||
\(798\) | −4.76972 | − | 7.17950i | −0.168846 | − | 0.254152i | ||||
\(799\) | 4.19085 | + | 14.2727i | 0.148261 | + | 0.504932i | ||||
\(800\) | 21.9133 | − | 4.22344i | 0.774751 | − | 0.149321i | ||||
\(801\) | 3.17050 | + | 13.0690i | 0.112024 | + | 0.461770i | ||||
\(802\) | 21.9540 | + | 15.6333i | 0.775221 | + | 0.552033i | ||||
\(803\) | 0.336016 | + | 0.264246i | 0.0118577 | + | 0.00932504i | ||||
\(804\) | 5.08754 | 0.179424 | ||||||||
\(805\) | −43.3458 | − | 4.64030i | −1.52774 | − | 0.163549i | ||||
\(806\) | −15.5819 | −0.548849 | ||||||||
\(807\) | −2.79357 | − | 2.19689i | −0.0983382 | − | 0.0773341i | ||||
\(808\) | −38.6086 | − | 27.4931i | −1.35825 | − | 0.967202i | ||||
\(809\) | −8.62702 | − | 35.5611i | −0.303310 | − | 1.25026i | −0.895718 | − | 0.444622i | \(-0.853338\pi\) |
0.592408 | − | 0.805638i | \(-0.298177\pi\) | |||||||
\(810\) | −3.98753 | + | 0.768533i | −0.140107 | + | 0.0270035i | ||||
\(811\) | 13.0387 | + | 44.4059i | 0.457852 | + | 1.55930i | 0.788186 | + | 0.615437i | \(0.211020\pi\) |
−0.330334 | + | 0.943864i | \(0.607161\pi\) | |||||||
\(812\) | −0.499131 | − | 7.93752i | −0.0175161 | − | 0.278552i | ||||
\(813\) | −1.20666 | + | 2.64221i | −0.0423193 | + | 0.0926664i | ||||
\(814\) | 4.35440 | + | 12.5812i | 0.152622 | + | 0.440971i | ||||
\(815\) | −17.1469 | − | 8.83986i | −0.600631 | − | 0.309647i | ||||
\(816\) | −2.48811 | − | 3.16389i | −0.0871013 | − | 0.110758i | ||||
\(817\) | 4.08223 | − | 10.1969i | 0.142819 | − | 0.356745i | ||||
\(818\) | −1.30181 | − | 2.02565i | −0.0455166 | − | 0.0708252i | ||||
\(819\) | −8.33410 | + | 3.96023i | −0.291217 | + | 0.138382i | ||||
\(820\) | −0.215546 | − | 0.0984368i | −0.00752721 | − | 0.00343756i | ||||
\(821\) | 21.0976 | − | 10.8766i | 0.736313 | − | 0.379596i | −0.0489146 | − | 0.998803i | \(-0.515576\pi\) |
0.785228 | + | 0.619207i | \(0.212546\pi\) | |||||||
\(822\) | −15.6619 | − | 14.9335i | −0.546270 | − | 0.520867i | ||||
\(823\) | −9.83939 | + | 28.4290i | −0.342979 | + | 0.990974i | 0.633196 | + | 0.773991i | \(0.281743\pi\) |
−0.976175 | + | 0.216983i | \(0.930379\pi\) | |||||||
\(824\) | 33.1707 | − | 31.6282i | 1.15556 | − | 1.10182i | ||||
\(825\) | 10.9308 | + | 23.9352i | 0.380563 | + | 0.833316i | ||||
\(826\) | 13.7394 | + | 0.445312i | 0.478055 | + | 0.0154944i | ||||
\(827\) | 17.4663i | 0.607364i | 0.952773 | + | 0.303682i | \(0.0982161\pi\) | ||||
−0.952773 | + | 0.303682i | \(0.901784\pi\) | |||||||
\(828\) | 2.14500 | − | 1.93881i | 0.0745438 | − | 0.0673782i | ||||
\(829\) | 2.68345 | − | 1.54929i | 0.0932000 | − | 0.0538091i | −0.452676 | − | 0.891675i | \(-0.649530\pi\) |
0.545876 | + | 0.837866i | \(0.316197\pi\) | |||||||
\(830\) | −7.80491 | + | 3.12461i | −0.270912 | + | 0.108457i | ||||
\(831\) | 1.39780 | − | 14.6385i | 0.0484893 | − | 0.507803i | ||||
\(832\) | 8.58607 | − | 29.2415i | 0.297668 | − | 1.01376i | ||||
\(833\) | −1.30011 | + | 11.5181i | −0.0450461 | + | 0.399077i | ||||
\(834\) | 1.50852 | − | 0.442943i | 0.0522359 | − | 0.0153379i | ||||
\(835\) | −17.9262 | − | 34.7721i | −0.620363 | − | 1.20334i | ||||
\(836\) | −0.610891 | − | 6.39754i | −0.0211281 | − | 0.221263i | ||||
\(837\) | −3.71164 | − | 0.715360i | −0.128293 | − | 0.0247265i | ||||
\(838\) | 0.949463 | + | 19.9317i | 0.0327987 | + | 0.688529i | ||||
\(839\) | 0.837490 | + | 5.82487i | 0.0289134 | + | 0.201097i | 0.999158 | − | 0.0410302i | \(-0.0130640\pi\) |
−0.970245 | + | 0.242127i | \(0.922155\pi\) | |||||||
\(840\) | −27.0742 | + | 7.00552i | −0.934149 | + | 0.241714i | ||||
\(841\) | −3.48245 | + | 2.23804i | −0.120085 | + | 0.0771737i | ||||
\(842\) | 2.26392 | − | 0.783551i | 0.0780199 | − | 0.0270030i | ||||
\(843\) | 31.1384 | − | 2.97336i | 1.07246 | − | 0.102408i | ||||
\(844\) | −0.0361879 | + | 0.759678i | −0.00124564 | + | 0.0261492i | ||||
\(845\) | −0.678000 | + | 2.79475i | −0.0233239 | + | 0.0961424i | ||||
\(846\) | 8.02467 | − | 6.95342i | 0.275894 | − | 0.239063i | ||||
\(847\) | −6.73555 | + | 8.01626i | −0.231436 | + | 0.275442i | ||||
\(848\) | 8.35355 | − | 3.81494i | 0.286862 | − | 0.131006i | ||||
\(849\) | 8.61776 | − | 10.9584i | 0.295761 | − | 0.376090i | ||||
\(850\) | −6.65822 | − | 11.5324i | −0.228375 | − | 0.395557i | ||||
\(851\) | 12.2778 | − | 6.65886i | 0.420876 | − | 0.228263i | ||||
\(852\) | −8.27429 | − | 4.77717i | −0.283473 | − | 0.163663i | ||||
\(853\) | −36.6538 | − | 5.27002i | −1.25500 | − | 0.180442i | −0.517439 | − | 0.855720i | \(-0.673114\pi\) |
−0.737563 | + | 0.675278i | \(0.764024\pi\) | |||||||
\(854\) | 17.5571 | − | 31.5062i | 0.600792 | − | 1.07812i | ||||
\(855\) | 9.08588 | + | 2.66786i | 0.310731 | + | 0.0912387i | ||||
\(856\) | 7.61701 | + | 39.5208i | 0.260344 | + | 1.35079i | ||||
\(857\) | 31.3512 | − | 32.8802i | 1.07094 | − | 1.12317i | 0.0789434 | − | 0.996879i | \(-0.474845\pi\) |
0.991994 | − | 0.126287i | \(-0.0403062\pi\) | |||||||
\(858\) | 15.9247 | + | 0.758586i | 0.543660 | + | 0.0258977i | ||||
\(859\) | −3.68957 | + | 2.62733i | −0.125886 | + | 0.0896434i | −0.641266 | − | 0.767319i | \(-0.721590\pi\) |
0.515379 | + | 0.856962i | \(0.327651\pi\) | |||||||
\(860\) | −6.23817 | − | 5.40540i | −0.212720 | − | 0.184323i | ||||
\(861\) | 0.282672 | + | 0.108209i | 0.00963342 | + | 0.00368776i | ||||
\(862\) | 34.2346 | − | 4.92220i | 1.16604 | − | 0.167651i | ||||
\(863\) | 46.1446 | + | 18.4735i | 1.57078 | + | 0.628845i | 0.983560 | − | 0.180582i | \(-0.0577981\pi\) |
0.587220 | + | 0.809427i | \(0.300222\pi\) | |||||||
\(864\) | 1.50302 | − | 2.91545i | 0.0511338 | − | 0.0991857i | ||||
\(865\) | 11.5368 | − | 59.8584i | 0.392261 | − | 2.03525i | ||||
\(866\) | −12.0813 | − | 16.9658i | −0.410538 | − | 0.576521i | ||||
\(867\) | −7.70848 | + | 11.9946i | −0.261794 | + | 0.407359i | ||||
\(868\) | −5.98038 | − | 0.767263i | −0.202987 | − | 0.0260426i | ||||
\(869\) | −16.5530 | − | 19.1032i | −0.561522 | − | 0.648031i | ||||
\(870\) | −13.9726 | − | 14.6540i | −0.473715 | − | 0.496818i | ||||
\(871\) | 17.0710 | − | 23.9729i | 0.578429 | − | 0.812290i | ||||
\(872\) | −17.5923 | − | 43.9435i | −0.595751 | − | 1.48811i | ||||
\(873\) | −9.61905 | + | 16.6607i | −0.325555 | + | 0.563878i | ||||
\(874\) | 15.1032 | − | 4.00084i | 0.510874 | − | 0.135330i | ||||
\(875\) | −16.2952 | + | 1.80633i | −0.550879 | + | 0.0610651i | ||||
\(876\) | 0.00948350 | − | 0.0659592i | 0.000320418 | − | 0.00222855i | ||||
\(877\) | 12.2268 | + | 1.16752i | 0.412870 | + | 0.0394243i | 0.299425 | − | 0.954120i | \(-0.403205\pi\) |
0.113445 | + | 0.993544i | \(0.463811\pi\) | |||||||
\(878\) | 17.9005 | − | 4.34263i | 0.604114 | − | 0.146557i | ||||
\(879\) | 8.40875 | + | 2.91030i | 0.283620 | + | 0.0981619i | ||||
\(880\) | 31.3876 | + | 7.61454i | 1.05807 | + | 0.256686i | ||||
\(881\) | −1.29439 | − | 0.831854i | −0.0436091 | − | 0.0280259i | 0.518655 | − | 0.854984i | \(-0.326433\pi\) |
−0.562264 | + | 0.826958i | \(0.690069\pi\) | |||||||
\(882\) | 7.86428 | − | 2.57127i | 0.264804 | − | 0.0865791i | ||||
\(883\) | 25.9567 | − | 29.9556i | 0.873511 | − | 1.00809i | −0.126360 | − | 0.991985i | \(-0.540329\pi\) |
0.999870 | − | 0.0161008i | \(-0.00512526\pi\) | |||||||
\(884\) | 3.47773 | − | 0.165665i | 0.116969 | − | 0.00557191i | ||||
\(885\) | −11.8711 | + | 9.33555i | −0.399043 | + | 0.313811i | ||||
\(886\) | 1.95431 | − | 1.53689i | 0.0656564 | − | 0.0516328i | ||||
\(887\) | −27.2377 | + | 1.29749i | −0.914554 | + | 0.0435656i | −0.499580 | − | 0.866268i | \(-0.666512\pi\) |
−0.414974 | + | 0.909833i | \(0.636209\pi\) | |||||||
\(888\) | 5.86769 | − | 6.77167i | 0.196907 | − | 0.227242i | ||||
\(889\) | −2.03206 | + | 6.17327i | −0.0681531 | + | 0.207045i | ||||
\(890\) | 45.9420 | + | 29.5251i | 1.53998 | + | 0.989685i | ||||
\(891\) | 3.75846 | + | 0.911793i | 0.125913 | + | 0.0305462i | ||||
\(892\) | −16.0064 | − | 5.53987i | −0.535934 | − | 0.185489i | ||||
\(893\) | −24.0621 | + | 5.83740i | −0.805207 | + | 0.195341i | ||||
\(894\) | 22.0897 | + | 2.10931i | 0.738791 | + | 0.0705459i | ||||
\(895\) | −3.26811 | + | 22.7302i | −0.109241 | + | 0.759787i | ||||
\(896\) | −4.00380 | + | 9.13192i | −0.133757 | + | 0.305076i | ||||
\(897\) | −1.93836 | − | 16.6130i | −0.0647201 | − | 0.554691i | ||||
\(898\) | −18.2645 | + | 31.6351i | −0.609495 | + | 1.05568i | ||||
\(899\) | −7.00469 | − | 17.4969i | −0.233619 | − | 0.583553i | ||||
\(900\) | 2.37931 | − | 3.34128i | 0.0793105 | − | 0.111376i | ||||
\(901\) | 4.31714 | + | 4.52768i | 0.143825 | + | 0.150839i | ||||
\(902\) | −0.342469 | − | 0.395230i | −0.0114030 | − | 0.0131597i | ||||
\(903\) | 8.38578 | + | 6.39078i | 0.279061 | + | 0.212672i | ||||
\(904\) | 20.3334 | − | 31.6394i | 0.676278 | − | 1.05231i | ||||
\(905\) | 35.5558 | + | 49.9312i | 1.18192 | + | 1.65977i | ||||
\(906\) | −1.84277 | + | 9.56119i | −0.0612219 | + | 0.317649i | ||||
\(907\) | 12.9484 | − | 25.1165i | 0.429946 | − | 0.833978i | −0.569978 | − | 0.821660i | \(-0.693048\pi\) |
0.999924 | − | 0.0123187i | \(-0.00392126\pi\) | |||||||
\(908\) | −11.4477 | − | 4.58298i | −0.379906 | − | 0.152092i | ||||
\(909\) | −15.2489 | + | 2.19246i | −0.505774 | + | 0.0727193i | ||||
\(910\) | −13.3961 | + | 34.9943i | −0.444077 | + | 1.16005i | ||||
\(911\) | −28.0538 | − | 24.3088i | −0.929464 | − | 0.805385i | 0.0516797 | − | 0.998664i | \(-0.483543\pi\) |
−0.981144 | + | 0.193278i | \(0.938088\pi\) | |||||||
\(912\) | 5.45742 | − | 3.88621i | 0.180713 | − | 0.128685i | ||||
\(913\) | 7.99761 | + | 0.380973i | 0.264682 | + | 0.0126084i | ||||
\(914\) | 15.8135 | − | 16.5847i | 0.523064 | − | 0.548574i | ||||
\(915\) | 7.49901 | + | 38.9085i | 0.247909 | + | 1.28628i | ||||
\(916\) | 9.91177 | + | 2.91036i | 0.327494 | + | 0.0961610i | ||||
\(917\) | 0.275946 | + | 18.1531i | 0.00911254 | + | 0.599467i | ||||
\(918\) | −1.93733 | − | 0.278545i | −0.0639413 | − | 0.00919337i | ||||
\(919\) | 1.64750 | + | 0.951184i | 0.0543460 | + | 0.0313767i | 0.526927 | − | 0.849911i | \(-0.323344\pi\) |
−0.472581 | + | 0.881287i | \(0.656678\pi\) | |||||||
\(920\) | 3.76030 | − | 50.5528i | 0.123974 | − | 1.66668i | ||||
\(921\) | 10.5864 | + | 18.3362i | 0.348835 | + | 0.604199i | ||||
\(922\) | −14.3825 | + | 18.2888i | −0.473663 | + | 0.602311i | ||||
\(923\) | −50.2744 | + | 22.9595i | −1.65480 | + | 0.755723i | ||||
\(924\) | 6.07458 | + | 1.07529i | 0.199839 | + | 0.0353744i | ||||
\(925\) | 14.9750 | − | 12.9759i | 0.492376 | − | 0.426646i | ||||
\(926\) | 2.13168 | − | 8.78690i | 0.0700513 | − | 0.288755i | ||||
\(927\) | 0.708837 | − | 14.8803i | 0.0232813 | − | 0.488734i | ||||
\(928\) | 16.2805 | − | 1.55460i | 0.534433 | − | 0.0510322i | ||||
\(929\) | −22.9998 | + | 7.96031i | −0.754599 | + | 0.261169i | −0.677168 | − | 0.735828i | \(-0.736793\pi\) |
−0.0774310 | + | 0.996998i | \(0.524672\pi\) | |||||||
\(930\) | −12.9133 | + | 8.29886i | −0.423443 | + | 0.272130i | ||||
\(931\) | −19.0472 | − | 3.07383i | −0.624248 | − | 0.100741i | ||||
\(932\) | −1.15649 | − | 8.04355i | −0.0378820 | − | 0.263475i | ||||
\(933\) | 0.256618 | + | 5.38707i | 0.00840129 | + | 0.176365i | ||||
\(934\) | −22.9695 | − | 4.42700i | −0.751584 | − | 0.144856i | ||||
\(935\) | 2.09145 | + | 21.9026i | 0.0683976 | + | 0.716293i | ||||
\(936\) | −4.91667 | − | 9.53700i | −0.160706 | − | 0.311727i | ||||
\(937\) | −16.5708 | + | 4.86561i | −0.541343 | + | 0.158953i | −0.540962 | − | 0.841047i | \(-0.681940\pi\) |
−0.000381432 | 1.00000i | \(0.500121\pi\) | ||||||||
\(938\) | −17.9185 | + | 19.3737i | −0.585061 | + | 0.632572i | ||||
\(939\) | 0.997152 | − | 3.39599i | 0.0325408 | − | 0.110824i | ||||
\(940\) | −1.76873 | + | 18.5229i | −0.0576895 | + | 0.604152i | ||||
\(941\) | −22.7501 | + | 9.10775i | −0.741631 | + | 0.296904i | −0.711542 | − | 0.702643i | \(-0.752003\pi\) |
−0.0300882 | + | 0.999547i | \(0.509579\pi\) | |||||||
\(942\) | 19.1000 | − | 11.0274i | 0.622312 | − | 0.359292i | ||||
\(943\) | −0.350521 | + | 0.422075i | −0.0114145 | + | 0.0137447i | ||||
\(944\) | 10.6849i | 0.347764i | ||||||||
\(945\) | −4.79756 | + | 7.72069i | −0.156065 | + | 0.251154i | ||||
\(946\) | −7.56759 | − | 16.5707i | −0.246044 | − | 0.538760i | ||||
\(947\) | 18.9054 | − | 18.0263i | 0.614344 | − | 0.585776i | −0.317668 | − | 0.948202i | \(-0.602900\pi\) |
0.932013 | + | 0.362426i | \(0.118051\pi\) | |||||||
\(948\) | −1.28877 | + | 3.72366i | −0.0418574 | + | 0.120939i | ||||
\(949\) | −0.278983 | − | 0.266010i | −0.00905618 | − | 0.00863505i | ||||
\(950\) | 19.7014 | − | 10.1568i | 0.639196 | − | 0.329529i | ||||
\(951\) | 15.8906 | + | 7.25699i | 0.515288 | + | 0.235324i | ||||
\(952\) | −13.4357 | − | 1.07715i | −0.435453 | − | 0.0349107i | ||||
\(953\) | 16.8102 | + | 26.1571i | 0.544535 | + | 0.847312i | 0.999057 | − | 0.0434231i | \(-0.0138264\pi\) |
−0.454522 | + | 0.890735i | \(0.650190\pi\) | |||||||
\(954\) | 1.65970 | − | 4.14574i | 0.0537349 | − | 0.134223i | ||||
\(955\) | 18.5176 | + | 23.5471i | 0.599216 | + | 0.761965i | ||||
\(956\) | −10.7231 | − | 5.52813i | −0.346809 | − | 0.178792i | ||||
\(957\) | 6.30696 | + | 18.2228i | 0.203875 | + | 0.589059i | ||||
\(958\) | −8.72284 | + | 19.1004i | −0.281822 | + | 0.617105i | ||||
\(959\) | −48.3438 | + | 3.03998i | −1.56110 | + | 0.0981661i | ||||
\(960\) | −8.45830 | − | 28.8063i | −0.272990 | − | 0.929720i | ||||
\(961\) | 16.4100 | − | 3.16276i | 0.529354 | − | 0.102025i | ||||
\(962\) | −2.83041 | − | 11.6671i | −0.0912561 | − | 0.376163i | ||||
\(963\) | 10.6563 | + | 7.58831i | 0.343394 | + | 0.244530i | ||||
\(964\) | 9.19925 | + | 7.23437i | 0.296288 | + | 0.233003i | ||||
\(965\) | −60.8627 | −1.95924 | ||||||||
\(966\) | −0.171678 | + | 14.9968i | −0.00552366 | + | 0.482515i | ||||
\(967\) | −4.17078 | −0.134123 | −0.0670616 | − | 0.997749i | \(-0.521362\pi\) | ||||
−0.0670616 | + | 0.997749i | \(0.521362\pi\) | |||||||
\(968\) | −9.57051 | − | 7.52633i | −0.307608 | − | 0.241905i | ||||
\(969\) | 3.71774 | + | 2.64739i | 0.119431 | + | 0.0850465i | ||||
\(970\) | 18.4185 | + | 75.9220i | 0.591382 | + | 2.43771i | ||||
\(971\) | −25.6702 | + | 4.94752i | −0.823795 | + | 0.158773i | −0.583693 | − | 0.811974i | \(-0.698393\pi\) |
−0.240102 | + | 0.970748i | \(0.577181\pi\) | |||||||
\(972\) | −0.169854 | − | 0.578469i | −0.00544807 | − | 0.0185544i | ||||
\(973\) | 1.56486 | − | 3.15214i | 0.0501672 | − | 0.101053i | ||||
\(974\) | 18.5842 | − | 40.6937i | 0.595476 | − | 1.30391i | ||||
\(975\) | −7.76068 | − | 22.4230i | −0.248541 | − | 0.718111i | ||||
\(976\) | 24.9182 | + | 12.8462i | 0.797612 | + | 0.411198i | ||||
\(977\) | 0.940057 | + | 1.19538i | 0.0300751 | + | 0.0382436i | 0.800858 | − | 0.598854i | \(-0.204377\pi\) |
−0.770783 | + | 0.637098i | \(0.780135\pi\) | |||||||
\(978\) | −2.46672 | + | 6.16158i | −0.0788771 | + | 0.197026i | ||||
\(979\) | −28.1188 | − | 43.7537i | −0.898681 | − | 1.39837i | ||||
\(980\) | −6.86460 | + | 12.7713i | −0.219282 | + | 0.407963i | ||||
\(981\) | −13.9949 | − | 6.39124i | −0.446822 | − | 0.204057i | ||||
\(982\) | 3.56887 | − | 1.83988i | 0.113887 | − | 0.0587129i | ||||
\(983\) | −24.9077 | − | 23.7495i | −0.794434 | − | 0.757491i | 0.179638 | − | 0.983733i | \(-0.442508\pi\) |
−0.974071 | + | 0.226242i | \(0.927356\pi\) | |||||||
\(984\) | −0.115116 | + | 0.332607i | −0.00366978 | + | 0.0106031i | ||||
\(985\) | −7.59256 | + | 7.23949i | −0.241919 | + | 0.230669i | ||||
\(986\) | −4.05398 | − | 8.87699i | −0.129105 | − | 0.282701i | ||||
\(987\) | 0.769931 | − | 23.7550i | 0.0245072 | − | 0.756130i | ||||
\(988\) | 5.79529i | 0.184373i | ||||||||
\(989\) | −15.8577 | + | 10.6671i | −0.504244 | + | 0.339193i | ||||
\(990\) | 13.6014 | − | 7.85275i | 0.432280 | − | 0.249577i | ||||
\(991\) | −30.7049 | + | 12.2924i | −0.975373 | + | 0.390481i | −0.803937 | − | 0.594715i | \(-0.797265\pi\) |
−0.171437 | + | 0.985195i | \(0.554841\pi\) | |||||||
\(992\) | 1.17856 | − | 12.3424i | 0.0374192 | − | 0.391871i | ||||
\(993\) | 3.28881 | − | 11.2007i | 0.104367 | − | 0.355442i | ||||
\(994\) | 47.3342 | − | 14.6836i | 1.50135 | − | 0.465737i | ||||
\(995\) | −33.5269 | + | 9.84439i | −1.06287 | + | 0.312088i | ||||
\(996\) | −0.571930 | − | 1.10939i | −0.0181223 | − | 0.0351524i | ||||
\(997\) | −4.36415 | − | 45.7035i | −0.138214 | − | 1.44744i | −0.752621 | − | 0.658454i | \(-0.771211\pi\) |
0.614407 | − | 0.788990i | \(-0.289396\pi\) | |||||||
\(998\) | 30.8747 | + | 5.95061i | 0.977322 | + | 0.188363i | ||||
\(999\) | −0.138576 | − | 2.90907i | −0.00438436 | − | 0.0920390i |
(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 | 483.2.bf.a.61.12 | ✓ | 640 | |
7.3 | odd | 6 | inner | 483.2.bf.a.199.21 | yes | 640 | |
23.20 | odd | 22 | inner | 483.2.bf.a.250.21 | yes | 640 | |
161.66 | even | 66 | inner | 483.2.bf.a.388.12 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.bf.a.61.12 | ✓ | 640 | 1.1 | even | 1 | trivial | |
483.2.bf.a.199.21 | yes | 640 | 7.3 | odd | 6 | inner | |
483.2.bf.a.250.21 | yes | 640 | 23.20 | odd | 22 | inner | |
483.2.bf.a.388.12 | yes | 640 | 161.66 | even | 66 | inner |