Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(49,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.r (of order \(22\), degree \(10\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 169.1 | ||
Character | \(\chi\) | \(=\) | 690.169 |
Dual form | 690.2.r.b.49.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{3}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.989821 | − | 0.142315i | −0.699909 | − | 0.100632i | ||||
\(3\) | 0.909632 | − | 0.415415i | 0.525176 | − | 0.239840i | ||||
\(4\) | 0.959493 | + | 0.281733i | 0.479746 | + | 0.140866i | ||||
\(5\) | −2.09099 | + | 0.792321i | −0.935118 | + | 0.354337i | ||||
\(6\) | −0.959493 | + | 0.281733i | −0.391711 | + | 0.115017i | ||||
\(7\) | −0.378014 | + | 0.588202i | −0.142876 | + | 0.222319i | −0.905315 | − | 0.424741i | \(-0.860365\pi\) |
0.762439 | + | 0.647060i | \(0.224002\pi\) | |||||||
\(8\) | −0.909632 | − | 0.415415i | −0.321603 | − | 0.146871i | ||||
\(9\) | 0.654861 | − | 0.755750i | 0.218287 | − | 0.251917i | ||||
\(10\) | 2.18246 | − | 0.486678i | 0.690155 | − | 0.153901i | ||||
\(11\) | −0.745698 | − | 5.18645i | −0.224837 | − | 1.56377i | −0.719378 | − | 0.694619i | \(-0.755573\pi\) |
0.494542 | − | 0.869154i | \(-0.335336\pi\) | |||||||
\(12\) | 0.989821 | − | 0.142315i | 0.285737 | − | 0.0410828i | ||||
\(13\) | 1.92796 | + | 2.99996i | 0.534719 | + | 0.832040i | 0.998547 | − | 0.0538857i | \(-0.0171607\pi\) |
−0.463828 | + | 0.885925i | \(0.653524\pi\) | |||||||
\(14\) | 0.457877 | − | 0.528418i | 0.122373 | − | 0.141226i | ||||
\(15\) | −1.57289 | + | 1.58935i | −0.406118 | + | 0.410368i | ||||
\(16\) | 0.841254 | + | 0.540641i | 0.210313 | + | 0.135160i | ||||
\(17\) | −0.765463 | − | 2.60693i | −0.185652 | − | 0.632273i | −0.998742 | − | 0.0501355i | \(-0.984035\pi\) |
0.813090 | − | 0.582138i | \(-0.197783\pi\) | |||||||
\(18\) | −0.755750 | + | 0.654861i | −0.178132 | + | 0.154352i | ||||
\(19\) | −3.73394 | − | 1.09638i | −0.856625 | − | 0.251528i | −0.176208 | − | 0.984353i | \(-0.556383\pi\) |
−0.680417 | + | 0.732825i | \(0.738201\pi\) | |||||||
\(20\) | −2.22951 | + | 0.171128i | −0.498534 | + | 0.0382653i | ||||
\(21\) | −0.0995061 | + | 0.692080i | −0.0217140 | + | 0.151024i | ||||
\(22\) | 5.23978i | 1.11712i | ||||||||
\(23\) | −0.308327 | − | 4.78591i | −0.0642907 | − | 0.997931i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | 3.74445 | − | 3.31347i | 0.748891 | − | 0.662694i | ||||
\(26\) | −1.48140 | − | 3.24380i | −0.290526 | − | 0.636162i | ||||
\(27\) | 0.281733 | − | 0.959493i | 0.0542195 | − | 0.184655i | ||||
\(28\) | −0.528418 | + | 0.457877i | −0.0998616 | + | 0.0865305i | ||||
\(29\) | 8.22773 | − | 2.41588i | 1.52785 | − | 0.448617i | 0.593459 | − | 0.804864i | \(-0.297762\pi\) |
0.934392 | + | 0.356247i | \(0.115944\pi\) | |||||||
\(30\) | 1.78306 | − | 1.34933i | 0.325542 | − | 0.246352i | ||||
\(31\) | 2.66056 | − | 5.82581i | 0.477851 | − | 1.04635i | −0.505198 | − | 0.863003i | \(-0.668581\pi\) |
0.983049 | − | 0.183344i | \(-0.0586922\pi\) | |||||||
\(32\) | −0.755750 | − | 0.654861i | −0.133599 | − | 0.115764i | ||||
\(33\) | −2.83284 | − | 4.40798i | −0.493134 | − | 0.767331i | ||||
\(34\) | 0.386667 | + | 2.68933i | 0.0663129 | + | 0.461216i | ||||
\(35\) | 0.324378 | − | 1.52943i | 0.0548299 | − | 0.258521i | ||||
\(36\) | 0.841254 | − | 0.540641i | 0.140209 | − | 0.0901068i | ||||
\(37\) | −4.34838 | − | 3.76789i | −0.714870 | − | 0.619438i | 0.219555 | − | 0.975600i | \(-0.429540\pi\) |
−0.934424 | + | 0.356162i | \(0.884085\pi\) | |||||||
\(38\) | 3.53991 | + | 1.61662i | 0.574249 | + | 0.262251i | ||||
\(39\) | 2.99996 | + | 1.92796i | 0.480378 | + | 0.308720i | ||||
\(40\) | 2.23117 | + | 0.147906i | 0.352779 | + | 0.0233861i | ||||
\(41\) | −1.31526 | − | 1.51789i | −0.205408 | − | 0.237054i | 0.643693 | − | 0.765284i | \(-0.277401\pi\) |
−0.849101 | + | 0.528230i | \(0.822856\pi\) | |||||||
\(42\) | 0.196987 | − | 0.670875i | 0.0303957 | − | 0.103518i | ||||
\(43\) | −4.36540 | + | 1.99361i | −0.665718 | + | 0.304023i | −0.719462 | − | 0.694532i | \(-0.755612\pi\) |
0.0537443 | + | 0.998555i | \(0.482884\pi\) | |||||||
\(44\) | 0.745698 | − | 5.18645i | 0.112418 | − | 0.781886i | ||||
\(45\) | −0.770509 | + | 2.09912i | −0.114861 | + | 0.312919i | ||||
\(46\) | −0.375917 | + | 4.78108i | −0.0554259 | + | 0.704931i | ||||
\(47\) | − | 5.47253i | − | 0.798250i | −0.916896 | − | 0.399125i | \(-0.869314\pi\) | ||
0.916896 | − | 0.399125i | \(-0.130686\pi\) | |||||||
\(48\) | 0.989821 | + | 0.142315i | 0.142868 | + | 0.0205414i | ||||
\(49\) | 2.70482 | + | 5.92273i | 0.386403 | + | 0.846104i | ||||
\(50\) | −4.17790 | + | 2.74685i | −0.590844 | + | 0.388463i | ||||
\(51\) | −1.77925 | − | 2.05336i | −0.249144 | − | 0.287528i | ||||
\(52\) | 1.00468 | + | 3.42161i | 0.139323 | + | 0.474492i | ||||
\(53\) | −1.05405 | + | 1.64013i | −0.144784 | + | 0.225289i | −0.906070 | − | 0.423128i | \(-0.860932\pi\) |
0.761286 | + | 0.648417i | \(0.224569\pi\) | |||||||
\(54\) | −0.415415 | + | 0.909632i | −0.0565308 | + | 0.123785i | ||||
\(55\) | 5.66858 | + | 10.2540i | 0.764351 | + | 1.38264i | ||||
\(56\) | 0.588202 | − | 0.378014i | 0.0786018 | − | 0.0505143i | ||||
\(57\) | −3.85197 | + | 0.553830i | −0.510206 | + | 0.0733565i | ||||
\(58\) | −8.48780 | + | 1.22036i | −1.11450 | + | 0.160241i | ||||
\(59\) | −9.17993 | + | 5.89959i | −1.19513 | + | 0.768061i | −0.978106 | − | 0.208107i | \(-0.933270\pi\) |
−0.217020 | + | 0.976167i | \(0.569634\pi\) | |||||||
\(60\) | −1.95694 | + | 1.08184i | −0.252640 | + | 0.139664i | ||||
\(61\) | 5.71509 | − | 12.5143i | 0.731742 | − | 1.60229i | −0.0649364 | − | 0.997889i | \(-0.520684\pi\) |
0.796679 | − | 0.604403i | \(-0.206588\pi\) | |||||||
\(62\) | −3.46258 | + | 5.38788i | −0.439748 | + | 0.684261i | ||||
\(63\) | 0.196987 | + | 0.670875i | 0.0248180 | + | 0.0845222i | ||||
\(64\) | 0.654861 | + | 0.755750i | 0.0818576 | + | 0.0944687i | ||||
\(65\) | −6.40827 | − | 4.74532i | −0.794848 | − | 0.588584i | ||||
\(66\) | 2.17668 | + | 4.76627i | 0.267931 | + | 0.586687i | ||||
\(67\) | 3.44525 | + | 0.495352i | 0.420904 | + | 0.0605169i | 0.349513 | − | 0.936932i | \(-0.386347\pi\) |
0.0713911 | + | 0.997448i | \(0.477256\pi\) | |||||||
\(68\) | − | 2.71699i | − | 0.329483i | ||||||
\(69\) | −2.26860 | − | 4.22533i | −0.273108 | − | 0.508670i | ||||
\(70\) | −0.538737 | + | 1.46770i | −0.0643914 | + | 0.175424i | ||||
\(71\) | −0.0479933 | + | 0.333800i | −0.00569575 | + | 0.0396148i | −0.992471 | − | 0.122479i | \(-0.960916\pi\) |
0.986775 | + | 0.162094i | \(0.0518247\pi\) | |||||||
\(72\) | −0.909632 | + | 0.415415i | −0.107201 | + | 0.0489571i | ||||
\(73\) | 3.65477 | − | 12.4470i | 0.427759 | − | 1.45681i | −0.410662 | − | 0.911788i | \(-0.634702\pi\) |
0.838420 | − | 0.545024i | \(-0.183479\pi\) | |||||||
\(74\) | 3.76789 | + | 4.34838i | 0.438009 | + | 0.505489i | ||||
\(75\) | 2.02961 | − | 4.56954i | 0.234359 | − | 0.527645i | ||||
\(76\) | −3.27381 | − | 2.10395i | −0.375531 | − | 0.241339i | ||||
\(77\) | 3.33256 | + | 1.52193i | 0.379781 | + | 0.173440i | ||||
\(78\) | −2.69505 | − | 2.33527i | −0.305154 | − | 0.264418i | ||||
\(79\) | −3.98251 | + | 2.55940i | −0.448067 | + | 0.287955i | −0.745151 | − | 0.666896i | \(-0.767622\pi\) |
0.297083 | + | 0.954852i | \(0.403986\pi\) | |||||||
\(80\) | −2.18741 | − | 0.463930i | −0.244560 | − | 0.0518689i | ||||
\(81\) | −0.142315 | − | 0.989821i | −0.0158128 | − | 0.109980i | ||||
\(82\) | 1.08585 | + | 1.68962i | 0.119912 | + | 0.186587i | ||||
\(83\) | −12.2644 | − | 10.6272i | −1.34620 | − | 1.16649i | −0.970874 | − | 0.239592i | \(-0.922986\pi\) |
−0.375323 | − | 0.926894i | \(-0.622468\pi\) | |||||||
\(84\) | −0.290457 | + | 0.636012i | −0.0316914 | + | 0.0693946i | ||||
\(85\) | 3.66610 | + | 4.84456i | 0.397644 | + | 0.525466i | ||||
\(86\) | 4.60469 | − | 1.35206i | 0.496537 | − | 0.145796i | ||||
\(87\) | 6.48061 | − | 5.61548i | 0.694794 | − | 0.602043i | ||||
\(88\) | −1.47622 | + | 5.02753i | −0.157365 | + | 0.535937i | ||||
\(89\) | 3.75816 | + | 8.22923i | 0.398364 | + | 0.872296i | 0.997433 | + | 0.0715990i | \(0.0228102\pi\) |
−0.599069 | + | 0.800697i | \(0.704463\pi\) | |||||||
\(90\) | 1.06140 | − | 1.96810i | 0.111882 | − | 0.207456i | ||||
\(91\) | −2.49338 | −0.261377 | ||||||||
\(92\) | 1.05251 | − | 4.67891i | 0.109732 | − | 0.487810i | ||||
\(93\) | − | 6.40458i | − | 0.664124i | ||||||
\(94\) | −0.778822 | + | 5.41682i | −0.0803293 | + | 0.558703i | ||||
\(95\) | 8.67632 | − | 0.665957i | 0.890171 | − | 0.0683258i | ||||
\(96\) | −0.959493 | − | 0.281733i | −0.0979278 | − | 0.0287542i | ||||
\(97\) | −5.51857 | + | 4.78187i | −0.560326 | + | 0.485525i | −0.888364 | − | 0.459139i | \(-0.848158\pi\) |
0.328038 | + | 0.944664i | \(0.393613\pi\) | |||||||
\(98\) | −1.83440 | − | 6.24738i | −0.185302 | − | 0.631080i | ||||
\(99\) | −4.40798 | − | 2.83284i | −0.443019 | − | 0.284711i | ||||
\(100\) | 4.52629 | − | 2.12431i | 0.452629 | − | 0.212431i | ||||
\(101\) | −7.49296 | + | 8.64734i | −0.745578 | + | 0.860442i | −0.994132 | − | 0.108176i | \(-0.965499\pi\) |
0.248554 | + | 0.968618i | \(0.420045\pi\) | |||||||
\(102\) | 1.46891 | + | 2.28567i | 0.145444 | + | 0.226315i | ||||
\(103\) | 0.662661 | − | 0.0952763i | 0.0652940 | − | 0.00938786i | −0.109590 | − | 0.993977i | \(-0.534954\pi\) |
0.174884 | + | 0.984589i | \(0.444045\pi\) | |||||||
\(104\) | −0.507504 | − | 3.52976i | −0.0497648 | − | 0.346122i | ||||
\(105\) | −0.340284 | − | 1.52597i | −0.0332083 | − | 0.148920i | ||||
\(106\) | 1.27673 | − | 1.47343i | 0.124007 | − | 0.143112i | ||||
\(107\) | 16.0338 | + | 7.32238i | 1.55004 | + | 0.707881i | 0.992498 | − | 0.122265i | \(-0.0390157\pi\) |
0.557546 | + | 0.830146i | \(0.311743\pi\) | |||||||
\(108\) | 0.540641 | − | 0.841254i | 0.0520232 | − | 0.0809497i | ||||
\(109\) | 18.5700 | − | 5.45265i | 1.77869 | − | 0.522269i | 0.783598 | − | 0.621269i | \(-0.213382\pi\) |
0.995087 | + | 0.0989994i | \(0.0315642\pi\) | |||||||
\(110\) | −4.15159 | − | 10.9563i | −0.395839 | − | 1.04464i | ||||
\(111\) | −5.52067 | − | 1.62101i | −0.523998 | − | 0.153860i | ||||
\(112\) | −0.636012 | + | 0.290457i | −0.0600975 | + | 0.0274456i | ||||
\(113\) | −8.26542 | − | 1.18839i | −0.777546 | − | 0.111794i | −0.257895 | − | 0.966173i | \(-0.583029\pi\) |
−0.519651 | + | 0.854379i | \(0.673938\pi\) | |||||||
\(114\) | 3.89158 | 0.364480 | ||||||||
\(115\) | 4.43669 | + | 9.76298i | 0.413723 | + | 0.910403i | ||||
\(116\) | 8.57508 | 0.796176 | ||||||||
\(117\) | 3.52976 | + | 0.507504i | 0.326327 | + | 0.0469187i | ||||
\(118\) | 9.92609 | − | 4.53310i | 0.913771 | − | 0.417305i | ||||
\(119\) | 1.82276 | + | 0.535210i | 0.167092 | + | 0.0490626i | ||||
\(120\) | 2.09099 | − | 0.792321i | 0.190880 | − | 0.0723287i | ||||
\(121\) | −15.7887 | + | 4.63599i | −1.43534 | + | 0.421454i | ||||
\(122\) | −7.43789 | + | 11.5736i | −0.673395 | + | 1.04782i | ||||
\(123\) | −1.82695 | − | 0.834341i | −0.164731 | − | 0.0752300i | ||||
\(124\) | 4.19411 | − | 4.84026i | 0.376642 | − | 0.434668i | ||||
\(125\) | −5.20427 | + | 9.89523i | −0.465484 | + | 0.885056i | ||||
\(126\) | −0.0995061 | − | 0.692080i | −0.00886471 | − | 0.0616554i | ||||
\(127\) | 10.1325 | − | 1.45683i | 0.899110 | − | 0.129273i | 0.322765 | − | 0.946479i | \(-0.395388\pi\) |
0.576345 | + | 0.817206i | \(0.304478\pi\) | |||||||
\(128\) | −0.540641 | − | 0.841254i | −0.0477863 | − | 0.0743570i | ||||
\(129\) | −3.14273 | + | 3.62691i | −0.276702 | + | 0.319332i | ||||
\(130\) | 5.66771 | + | 5.60901i | 0.497091 | + | 0.491943i | ||||
\(131\) | −9.08296 | − | 5.83726i | −0.793582 | − | 0.510004i | 0.0799340 | − | 0.996800i | \(-0.474529\pi\) |
−0.873516 | + | 0.486796i | \(0.838165\pi\) | |||||||
\(132\) | −1.47622 | − | 5.02753i | −0.128488 | − | 0.437590i | ||||
\(133\) | 2.05638 | − | 1.78186i | 0.178311 | − | 0.154507i | ||||
\(134\) | −3.33968 | − | 0.980620i | −0.288505 | − | 0.0847126i | ||||
\(135\) | 0.171128 | + | 2.22951i | 0.0147283 | + | 0.191886i | ||||
\(136\) | −0.386667 | + | 2.68933i | −0.0331565 | + | 0.230608i | ||||
\(137\) | − | 5.08329i | − | 0.434295i | −0.976139 | − | 0.217148i | \(-0.930325\pi\) | ||
0.976139 | − | 0.217148i | \(-0.0696753\pi\) | |||||||
\(138\) | 1.64418 | + | 4.50518i | 0.139962 | + | 0.383506i | ||||
\(139\) | −7.27060 | −0.616684 | −0.308342 | − | 0.951276i | \(-0.599774\pi\) | ||||
−0.308342 | + | 0.951276i | \(0.599774\pi\) | |||||||
\(140\) | 0.742129 | − | 1.37609i | 0.0627214 | − | 0.116301i | ||||
\(141\) | −2.27337 | − | 4.97799i | −0.191452 | − | 0.419222i | ||||
\(142\) | 0.0950095 | − | 0.323573i | 0.00797302 | − | 0.0271536i | ||||
\(143\) | 14.1215 | − | 12.2363i | 1.18090 | − | 1.02325i | ||||
\(144\) | 0.959493 | − | 0.281733i | 0.0799577 | − | 0.0234777i | ||||
\(145\) | −15.2899 | + | 11.5706i | −1.26976 | + | 0.960884i | ||||
\(146\) | −5.38896 | + | 11.8002i | −0.445994 | + | 0.976590i | ||||
\(147\) | 4.92078 | + | 4.26388i | 0.405859 | + | 0.351679i | ||||
\(148\) | −3.11070 | − | 4.84035i | −0.255698 | − | 0.397874i | ||||
\(149\) | 3.26584 | + | 22.7144i | 0.267548 | + | 1.86084i | 0.471514 | + | 0.881859i | \(0.343708\pi\) |
−0.203966 | + | 0.978978i | \(0.565383\pi\) | |||||||
\(150\) | −2.65926 | + | 4.23418i | −0.217128 | + | 0.345720i | ||||
\(151\) | −8.86234 | + | 5.69548i | −0.721207 | + | 0.463492i | −0.849057 | − | 0.528302i | \(-0.822829\pi\) |
0.127849 | + | 0.991794i | \(0.459193\pi\) | |||||||
\(152\) | 2.94106 | + | 2.54844i | 0.238551 | + | 0.206706i | ||||
\(153\) | −2.47146 | − | 1.12868i | −0.199805 | − | 0.0912481i | ||||
\(154\) | −3.08205 | − | 1.98071i | −0.248359 | − | 0.159610i | ||||
\(155\) | −0.947279 | + | 14.2897i | −0.0760873 | + | 1.14778i | ||||
\(156\) | 2.33527 | + | 2.69505i | 0.186972 | + | 0.215777i | ||||
\(157\) | −2.99734 | + | 10.2080i | −0.239214 | + | 0.814688i | 0.749126 | + | 0.662427i | \(0.230474\pi\) |
−0.988340 | + | 0.152261i | \(0.951345\pi\) | |||||||
\(158\) | 4.30621 | − | 1.96658i | 0.342584 | − | 0.156453i | ||||
\(159\) | −0.277461 | + | 1.92978i | −0.0220041 | + | 0.153042i | ||||
\(160\) | 2.09912 | + | 0.770509i | 0.165950 | + | 0.0609141i | ||||
\(161\) | 2.93163 | + | 1.62778i | 0.231045 | + | 0.128287i | ||||
\(162\) | 1.00000i | 0.0785674i | ||||||||
\(163\) | −0.652108 | − | 0.0937589i | −0.0510770 | − | 0.00734377i | 0.116729 | − | 0.993164i | \(-0.462759\pi\) |
−0.167806 | + | 0.985820i | \(0.553668\pi\) | |||||||
\(164\) | −0.834341 | − | 1.82695i | −0.0651511 | − | 0.142661i | ||||
\(165\) | 9.41597 | + | 6.97252i | 0.733032 | + | 0.542810i | ||||
\(166\) | 10.6272 | + | 12.2644i | 0.824830 | + | 0.951905i | ||||
\(167\) | −2.60631 | − | 8.87626i | −0.201682 | − | 0.686866i | −0.996765 | − | 0.0803657i | \(-0.974391\pi\) |
0.795083 | − | 0.606500i | \(-0.207427\pi\) | |||||||
\(168\) | 0.378014 | − | 0.588202i | 0.0291644 | − | 0.0453808i | ||||
\(169\) | 0.117647 | − | 0.257611i | 0.00904977 | − | 0.0198162i | ||||
\(170\) | −2.93933 | − | 5.31699i | −0.225436 | − | 0.407795i | ||||
\(171\) | −3.27381 | + | 2.10395i | −0.250354 | + | 0.160893i | ||||
\(172\) | −4.75024 | + | 0.682982i | −0.362202 | + | 0.0520769i | ||||
\(173\) | 2.41967 | − | 0.347896i | 0.183964 | − | 0.0264501i | −0.0497169 | − | 0.998763i | \(-0.515832\pi\) |
0.233681 | + | 0.972313i | \(0.424923\pi\) | |||||||
\(174\) | −7.21381 | + | 4.63604i | −0.546878 | + | 0.351457i | ||||
\(175\) | 0.533531 | + | 3.45503i | 0.0403311 | + | 0.261176i | ||||
\(176\) | 2.17668 | − | 4.76627i | 0.164074 | − | 0.359271i | ||||
\(177\) | −5.89959 | + | 9.17993i | −0.443440 | + | 0.690006i | ||||
\(178\) | −2.54877 | − | 8.68031i | −0.191038 | − | 0.650617i | ||||
\(179\) | 8.61580 | + | 9.94317i | 0.643975 | + | 0.743187i | 0.980072 | − | 0.198640i | \(-0.0636525\pi\) |
−0.336097 | + | 0.941827i | \(0.609107\pi\) | |||||||
\(180\) | −1.33069 | + | 1.79702i | −0.0991837 | + | 0.133942i | ||||
\(181\) | 3.70354 | + | 8.10962i | 0.275282 | + | 0.602783i | 0.995891 | − | 0.0905581i | \(-0.0288651\pi\) |
−0.720609 | + | 0.693341i | \(0.756138\pi\) | |||||||
\(182\) | 2.46800 | + | 0.354845i | 0.182940 | + | 0.0263029i | ||||
\(183\) | − | 13.7575i | − | 1.01699i | ||||||
\(184\) | −1.70767 | + | 4.48150i | −0.125891 | + | 0.330381i | ||||
\(185\) | 12.0778 | + | 4.43330i | 0.887977 | + | 0.325943i | ||||
\(186\) | −0.911467 | + | 6.33939i | −0.0668320 | + | 0.464827i | ||||
\(187\) | −12.9499 | + | 5.91402i | −0.946990 | + | 0.432476i | ||||
\(188\) | 1.54179 | − | 5.25085i | 0.112447 | − | 0.382958i | ||||
\(189\) | 0.457877 | + | 0.528418i | 0.0333056 | + | 0.0384367i | ||||
\(190\) | −8.68278 | − | 0.575590i | −0.629915 | − | 0.0417577i | ||||
\(191\) | 11.2683 | + | 7.24171i | 0.815347 | + | 0.523991i | 0.880591 | − | 0.473878i | \(-0.157146\pi\) |
−0.0652440 | + | 0.997869i | \(0.520783\pi\) | |||||||
\(192\) | 0.909632 | + | 0.415415i | 0.0656470 | + | 0.0299800i | ||||
\(193\) | 14.6648 | + | 12.7071i | 1.05560 | + | 0.914679i | 0.996502 | − | 0.0835731i | \(-0.0266332\pi\) |
0.0590945 | + | 0.998252i | \(0.481179\pi\) | |||||||
\(194\) | 6.14293 | − | 3.94782i | 0.441037 | − | 0.283437i | ||||
\(195\) | −7.80044 | − | 1.65440i | −0.558601 | − | 0.118474i | ||||
\(196\) | 0.926630 | + | 6.44485i | 0.0661878 | + | 0.460346i | ||||
\(197\) | 9.87333 | + | 15.3632i | 0.703446 | + | 1.09458i | 0.990612 | + | 0.136702i | \(0.0436504\pi\) |
−0.287166 | + | 0.957881i | \(0.592713\pi\) | |||||||
\(198\) | 3.95996 | + | 3.43133i | 0.281422 | + | 0.243854i | ||||
\(199\) | 5.07810 | − | 11.1195i | 0.359977 | − | 0.788240i | −0.639828 | − | 0.768518i | \(-0.720995\pi\) |
0.999806 | − | 0.0197220i | \(-0.00627811\pi\) | |||||||
\(200\) | −4.78254 | + | 1.45853i | −0.338177 | + | 0.103134i | ||||
\(201\) | 3.33968 | − | 0.980620i | 0.235563 | − | 0.0691676i | ||||
\(202\) | 8.64734 | − | 7.49296i | 0.608425 | − | 0.527203i | ||||
\(203\) | −1.68917 | + | 5.75280i | −0.118557 | + | 0.403768i | ||||
\(204\) | −1.12868 | − | 2.47146i | −0.0790232 | − | 0.173037i | ||||
\(205\) | 3.95284 | + | 2.13177i | 0.276078 | + | 0.148890i | ||||
\(206\) | −0.669476 | −0.0466446 | ||||||||
\(207\) | −3.81886 | − | 2.90109i | −0.265429 | − | 0.201639i | ||||
\(208\) | 3.56606i | 0.247262i | ||||||||
\(209\) | −2.90194 | + | 20.1835i | −0.200732 | + | 1.39612i | ||||
\(210\) | 0.119652 | + | 1.55887i | 0.00825677 | + | 0.107572i | ||||
\(211\) | 17.9165 | + | 5.26076i | 1.23342 | + | 0.362166i | 0.832541 | − | 0.553964i | \(-0.186885\pi\) |
0.400883 | + | 0.916129i | \(0.368704\pi\) | |||||||
\(212\) | −1.47343 | + | 1.27673i | −0.101195 | + | 0.0876864i | ||||
\(213\) | 0.0950095 | + | 0.323573i | 0.00650994 | + | 0.0221708i | ||||
\(214\) | −14.8285 | − | 9.52969i | −1.01365 | − | 0.651436i | ||||
\(215\) | 7.54842 | − | 7.62742i | 0.514798 | − | 0.520186i | ||||
\(216\) | −0.654861 | + | 0.755750i | −0.0445576 | + | 0.0514222i | ||||
\(217\) | 2.42103 | + | 3.76719i | 0.164350 | + | 0.255733i | ||||
\(218\) | −19.1570 | + | 2.75436i | −1.29748 | + | 0.186549i | ||||
\(219\) | −1.84618 | − | 12.8404i | −0.124753 | − | 0.867677i | ||||
\(220\) | 2.55009 | + | 11.4356i | 0.171927 | + | 0.770990i | ||||
\(221\) | 6.34491 | − | 7.32241i | 0.426805 | − | 0.492559i | ||||
\(222\) | 5.23378 | + | 2.39019i | 0.351268 | + | 0.160419i | ||||
\(223\) | −4.19821 | + | 6.53253i | −0.281133 | + | 0.437451i | −0.952888 | − | 0.303322i | \(-0.901904\pi\) |
0.671755 | + | 0.740773i | \(0.265541\pi\) | |||||||
\(224\) | 0.670875 | − | 0.196987i | 0.0448247 | − | 0.0131617i | ||||
\(225\) | −0.0520564 | − | 4.99973i | −0.00347043 | − | 0.333315i | ||||
\(226\) | 8.01217 | + | 2.35259i | 0.532962 | + | 0.156492i | ||||
\(227\) | 0.0690392 | − | 0.0315291i | 0.00458229 | − | 0.00209266i | −0.413123 | − | 0.910675i | \(-0.635562\pi\) |
0.417705 | + | 0.908583i | \(0.362835\pi\) | |||||||
\(228\) | −3.85197 | − | 0.553830i | −0.255103 | − | 0.0366783i | ||||
\(229\) | −14.6648 | −0.969081 | −0.484540 | − | 0.874769i | \(-0.661013\pi\) | ||||
−0.484540 | + | 0.874769i | \(0.661013\pi\) | |||||||
\(230\) | −3.00211 | − | 10.2950i | −0.197953 | − | 0.678833i | ||||
\(231\) | 3.66364 | 0.241050 | ||||||||
\(232\) | −8.48780 | − | 1.22036i | −0.557251 | − | 0.0801206i | ||||
\(233\) | −15.6535 | + | 7.14871i | −1.02549 | + | 0.468328i | −0.855875 | − | 0.517182i | \(-0.826981\pi\) |
−0.169619 | + | 0.985510i | \(0.554254\pi\) | |||||||
\(234\) | −3.42161 | − | 1.00468i | −0.223678 | − | 0.0656777i | ||||
\(235\) | 4.33600 | + | 11.4430i | 0.282849 | + | 0.746458i | ||||
\(236\) | −10.4702 | + | 3.07432i | −0.681551 | + | 0.200121i | ||||
\(237\) | −2.55940 | + | 3.98251i | −0.166251 | + | 0.258692i | ||||
\(238\) | −1.72804 | − | 0.789167i | −0.112012 | − | 0.0511541i | ||||
\(239\) | 2.66870 | − | 3.07985i | 0.172624 | − | 0.199219i | −0.662844 | − | 0.748757i | \(-0.730651\pi\) |
0.835468 | + | 0.549538i | \(0.185196\pi\) | |||||||
\(240\) | −2.18246 | + | 0.486678i | −0.140877 | + | 0.0314149i | ||||
\(241\) | −3.41098 | − | 23.7239i | −0.219720 | − | 1.52819i | −0.739071 | − | 0.673627i | \(-0.764735\pi\) |
0.519351 | − | 0.854561i | \(-0.326174\pi\) | |||||||
\(242\) | 16.2878 | − | 2.34183i | 1.04702 | − | 0.150539i | ||||
\(243\) | −0.540641 | − | 0.841254i | −0.0346821 | − | 0.0539664i | ||||
\(244\) | 9.00928 | − | 10.3973i | 0.576760 | − | 0.665616i | ||||
\(245\) | −10.3484 | − | 10.2413i | −0.661138 | − | 0.654290i | ||||
\(246\) | 1.68962 | + | 1.08585i | 0.107726 | + | 0.0692313i | ||||
\(247\) | −3.90978 | − | 13.3155i | −0.248773 | − | 0.847243i | ||||
\(248\) | −4.84026 | + | 4.19411i | −0.307357 | + | 0.266326i | ||||
\(249\) | −15.5708 | − | 4.57201i | −0.986761 | − | 0.289739i | ||||
\(250\) | 6.55954 | − | 9.05386i | 0.414862 | − | 0.572617i | ||||
\(251\) | −0.237575 | + | 1.65237i | −0.0149956 | + | 0.104297i | −0.995945 | − | 0.0899689i | \(-0.971323\pi\) |
0.980949 | + | 0.194265i | \(0.0622323\pi\) | |||||||
\(252\) | 0.699197i | 0.0440453i | ||||||||
\(253\) | −24.5919 | + | 5.16797i | −1.54608 | + | 0.324907i | ||||
\(254\) | −10.2367 | −0.642305 | ||||||||
\(255\) | 5.34730 | + | 2.88381i | 0.334861 | + | 0.180591i | ||||
\(256\) | 0.415415 | + | 0.909632i | 0.0259634 | + | 0.0568520i | ||||
\(257\) | −2.45152 | + | 8.34913i | −0.152922 | + | 0.520804i | −0.999942 | − | 0.0107565i | \(-0.996576\pi\) |
0.847020 | + | 0.531561i | \(0.178394\pi\) | |||||||
\(258\) | 3.62691 | − | 3.14273i | 0.225801 | − | 0.195658i | ||||
\(259\) | 3.86003 | − | 1.13341i | 0.239851 | − | 0.0704265i | ||||
\(260\) | −4.81178 | − | 6.35852i | −0.298414 | − | 0.394339i | ||||
\(261\) | 3.56222 | − | 7.80017i | 0.220496 | − | 0.482818i | ||||
\(262\) | 8.15978 | + | 7.07049i | 0.504113 | + | 0.436816i | ||||
\(263\) | −9.90143 | − | 15.4069i | −0.610548 | − | 0.950032i | −0.999585 | − | 0.0288094i | \(-0.990828\pi\) |
0.389037 | − | 0.921222i | \(-0.372808\pi\) | |||||||
\(264\) | 0.745698 | + | 5.18645i | 0.0458946 | + | 0.319204i | ||||
\(265\) | 0.904489 | − | 4.26463i | 0.0555623 | − | 0.261974i | ||||
\(266\) | −2.28903 | + | 1.47107i | −0.140350 | + | 0.0901973i | ||||
\(267\) | 6.83709 | + | 5.92437i | 0.418423 | + | 0.362566i | ||||
\(268\) | 3.16613 | + | 1.44593i | 0.193402 | + | 0.0883239i | ||||
\(269\) | 11.1820 | + | 7.18625i | 0.681780 | + | 0.438153i | 0.835155 | − | 0.550015i | \(-0.185378\pi\) |
−0.153375 | + | 0.988168i | \(0.549014\pi\) | |||||||
\(270\) | 0.147906 | − | 2.23117i | 0.00900130 | − | 0.135785i | ||||
\(271\) | −1.23019 | − | 1.41971i | −0.0747286 | − | 0.0862414i | 0.717154 | − | 0.696915i | \(-0.245444\pi\) |
−0.791883 | + | 0.610673i | \(0.790899\pi\) | |||||||
\(272\) | 0.765463 | − | 2.60693i | 0.0464130 | − | 0.158068i | ||||
\(273\) | −2.26806 | + | 1.03579i | −0.137269 | + | 0.0626887i | ||||
\(274\) | −0.723428 | + | 5.03155i | −0.0437039 | + | 0.303967i | ||||
\(275\) | −19.9774 | − | 16.9496i | −1.20468 | − | 1.02210i | ||||
\(276\) | −0.986295 | − | 4.69332i | −0.0593680 | − | 0.282504i | ||||
\(277\) | 15.2176i | 0.914338i | 0.889380 | + | 0.457169i | \(0.151137\pi\) | ||||
−0.889380 | + | 0.457169i | \(0.848863\pi\) | |||||||
\(278\) | 7.19659 | + | 1.03471i | 0.431623 | + | 0.0620580i | ||||
\(279\) | −2.66056 | − | 5.82581i | −0.159284 | − | 0.348782i | ||||
\(280\) | −0.930414 | + | 1.25647i | −0.0556028 | + | 0.0750883i | ||||
\(281\) | 11.4483 | + | 13.2120i | 0.682947 | + | 0.788163i | 0.986343 | − | 0.164702i | \(-0.0526661\pi\) |
−0.303397 | + | 0.952864i | \(0.598121\pi\) | |||||||
\(282\) | 1.54179 | + | 5.25085i | 0.0918122 | + | 0.312684i | ||||
\(283\) | 10.4488 | − | 16.2587i | 0.621118 | − | 0.966479i | −0.378054 | − | 0.925784i | \(-0.623406\pi\) |
0.999172 | − | 0.0406948i | \(-0.0129571\pi\) | |||||||
\(284\) | −0.140092 | + | 0.306758i | −0.00831291 | + | 0.0182027i | ||||
\(285\) | 7.61561 | − | 4.21005i | 0.451110 | − | 0.249382i | ||||
\(286\) | −15.7191 | + | 10.1021i | −0.929492 | + | 0.597348i | ||||
\(287\) | 1.39001 | − | 0.199853i | 0.0820496 | − | 0.0117970i | ||||
\(288\) | −0.989821 | + | 0.142315i | −0.0583258 | + | 0.00838598i | ||||
\(289\) | 8.09117 | − | 5.19988i | 0.475951 | − | 0.305875i | ||||
\(290\) | 16.7810 | − | 9.27682i | 0.985412 | − | 0.544754i | ||||
\(291\) | −3.03341 | + | 6.64224i | −0.177822 | + | 0.389375i | ||||
\(292\) | 7.01345 | − | 10.9131i | 0.410431 | − | 0.638644i | ||||
\(293\) | −8.18543 | − | 27.8770i | −0.478198 | − | 1.62859i | −0.746591 | − | 0.665283i | \(-0.768311\pi\) |
0.268394 | − | 0.963309i | \(-0.413507\pi\) | |||||||
\(294\) | −4.26388 | − | 4.92078i | −0.248674 | − | 0.286986i | ||||
\(295\) | 14.5208 | − | 19.6094i | 0.845431 | − | 1.14170i | ||||
\(296\) | 2.39019 | + | 5.23378i | 0.138927 | + | 0.304207i | ||||
\(297\) | −5.18645 | − | 0.745698i | −0.300948 | − | 0.0432698i | ||||
\(298\) | − | 22.9480i | − | 1.32934i | ||||||
\(299\) | 13.7631 | − | 10.1520i | 0.795941 | − | 0.587106i | ||||
\(300\) | 3.23478 | − | 3.81263i | 0.186760 | − | 0.220122i | ||||
\(301\) | 0.477539 | − | 3.32135i | 0.0275249 | − | 0.191440i | ||||
\(302\) | 9.58269 | − | 4.37627i | 0.551422 | − | 0.251826i | ||||
\(303\) | −3.22360 | + | 10.9786i | −0.185191 | + | 0.630703i | ||||
\(304\) | −2.54844 | − | 2.94106i | −0.146163 | − | 0.168681i | ||||
\(305\) | −2.03483 | + | 30.6954i | −0.116514 | + | 1.75762i | ||||
\(306\) | 2.28567 | + | 1.46891i | 0.130663 | + | 0.0839722i | ||||
\(307\) | −15.5716 | − | 7.11132i | −0.888719 | − | 0.405864i | −0.0818844 | − | 0.996642i | \(-0.526094\pi\) |
−0.806835 | + | 0.590778i | \(0.798821\pi\) | |||||||
\(308\) | 2.76879 | + | 2.39917i | 0.157767 | + | 0.136706i | ||||
\(309\) | 0.563199 | − | 0.361946i | 0.0320393 | − | 0.0205904i | ||||
\(310\) | 2.97128 | − | 14.0095i | 0.168757 | − | 0.795684i | ||||
\(311\) | −2.93809 | − | 20.4349i | −0.166604 | − | 1.15876i | −0.885840 | − | 0.463991i | \(-0.846417\pi\) |
0.719236 | − | 0.694766i | \(-0.244492\pi\) | |||||||
\(312\) | −1.92796 | − | 2.99996i | −0.109149 | − | 0.169839i | ||||
\(313\) | 10.1029 | + | 8.75417i | 0.571047 | + | 0.494815i | 0.891850 | − | 0.452331i | \(-0.149407\pi\) |
−0.320803 | + | 0.947146i | \(0.603953\pi\) | |||||||
\(314\) | 4.41959 | − | 9.67754i | 0.249412 | − | 0.546135i | ||||
\(315\) | −0.943445 | − | 1.24671i | −0.0531571 | − | 0.0702443i | ||||
\(316\) | −4.54226 | + | 1.33373i | −0.255522 | + | 0.0750280i | ||||
\(317\) | 2.29903 | − | 1.99212i | 0.129126 | − | 0.111888i | −0.587904 | − | 0.808931i | \(-0.700047\pi\) |
0.717030 | + | 0.697043i | \(0.245501\pi\) | |||||||
\(318\) | 0.549273 | − | 1.87065i | 0.0308017 | − | 0.104901i | ||||
\(319\) | −18.6652 | − | 40.8711i | −1.04505 | − | 2.28834i | ||||
\(320\) | −1.96810 | − | 1.06140i | −0.110020 | − | 0.0593342i | ||||
\(321\) | 17.6267 | 0.983824 | ||||||||
\(322\) | −2.67014 | − | 2.02843i | −0.148801 | − | 0.113040i | ||||
\(323\) | 10.5734i | 0.588318i | ||||||||
\(324\) | 0.142315 | − | 0.989821i | 0.00790638 | − | 0.0549901i | ||||
\(325\) | 17.1594 | + | 4.84499i | 0.951834 | + | 0.268752i | ||||
\(326\) | 0.632127 | + | 0.185609i | 0.0350103 | + | 0.0102799i | ||||
\(327\) | 14.6268 | − | 12.6742i | 0.808862 | − | 0.700883i | ||||
\(328\) | 0.565846 | + | 1.92709i | 0.0312436 | + | 0.106406i | ||||
\(329\) | 3.21895 | + | 2.06869i | 0.177467 | + | 0.114051i | ||||
\(330\) | −8.32784 | − | 8.24158i | −0.458432 | − | 0.453684i | ||||
\(331\) | 9.23796 | − | 10.6612i | 0.507764 | − | 0.585991i | −0.442760 | − | 0.896640i | \(-0.646001\pi\) |
0.950525 | + | 0.310649i | \(0.100546\pi\) | |||||||
\(332\) | −8.77361 | − | 13.6520i | −0.481515 | − | 0.749251i | ||||
\(333\) | −5.69517 | + | 0.818842i | −0.312093 | + | 0.0448722i | ||||
\(334\) | 1.31655 | + | 9.15683i | 0.0720386 | + | 0.501039i | ||||
\(335\) | −7.59645 | + | 1.69397i | −0.415038 | + | 0.0925514i | ||||
\(336\) | −0.457877 | + | 0.528418i | −0.0249792 | + | 0.0288276i | ||||
\(337\) | −16.3025 | − | 7.44512i | −0.888056 | − | 0.405562i | −0.0814681 | − | 0.996676i | \(-0.525961\pi\) |
−0.806588 | + | 0.591114i | \(0.798688\pi\) | |||||||
\(338\) | −0.153111 | + | 0.238246i | −0.00832816 | + | 0.0129589i | ||||
\(339\) | −8.01217 | + | 2.35259i | −0.435161 | + | 0.127775i | ||||
\(340\) | 2.15273 | + | 5.68118i | 0.116748 | + | 0.308105i | ||||
\(341\) | −32.1993 | − | 9.45455i | −1.74369 | − | 0.511993i | ||||
\(342\) | 3.53991 | − | 1.61662i | 0.191416 | − | 0.0874168i | ||||
\(343\) | −9.35078 | − | 1.34444i | −0.504895 | − | 0.0725929i | ||||
\(344\) | 4.79909 | 0.258750 | ||||||||
\(345\) | 8.09144 | + | 7.03765i | 0.435629 | + | 0.378895i | ||||
\(346\) | −2.44455 | −0.131420 | ||||||||
\(347\) | −6.59279 | − | 0.947901i | −0.353920 | − | 0.0508860i | −0.0369378 | − | 0.999318i | \(-0.511760\pi\) |
−0.316982 | + | 0.948432i | \(0.602669\pi\) | |||||||
\(348\) | 7.80017 | − | 3.56222i | 0.418133 | − | 0.190955i | ||||
\(349\) | −15.3854 | − | 4.51755i | −0.823559 | − | 0.241819i | −0.157311 | − | 0.987549i | \(-0.550283\pi\) |
−0.666248 | + | 0.745730i | \(0.732101\pi\) | |||||||
\(350\) | −0.0363977 | − | 3.49580i | −0.00194554 | − | 0.186858i | ||||
\(351\) | 3.42161 | − | 1.00468i | 0.182632 | − | 0.0536256i | ||||
\(352\) | −2.83284 | + | 4.40798i | −0.150991 | + | 0.234946i | ||||
\(353\) | 6.70203 | + | 3.06071i | 0.356713 | + | 0.162905i | 0.585708 | − | 0.810522i | \(-0.300817\pi\) |
−0.228995 | + | 0.973428i | \(0.573544\pi\) | |||||||
\(354\) | 7.14598 | − | 8.24690i | 0.379804 | − | 0.438318i | ||||
\(355\) | −0.164124 | − | 0.735998i | −0.00871080 | − | 0.0390627i | ||||
\(356\) | 1.28749 | + | 8.95468i | 0.0682368 | + | 0.474597i | ||||
\(357\) | 1.88037 | − | 0.270357i | 0.0995198 | − | 0.0143088i | ||||
\(358\) | −7.11305 | − | 11.0681i | −0.375936 | − | 0.584968i | ||||
\(359\) | 16.4979 | − | 19.0396i | 0.870725 | − | 1.00487i | −0.129187 | − | 0.991620i | \(-0.541237\pi\) |
0.999912 | − | 0.0132499i | \(-0.00421770\pi\) | |||||||
\(360\) | 1.57289 | − | 1.58935i | 0.0828984 | − | 0.0837660i | ||||
\(361\) | −3.24354 | − | 2.08450i | −0.170713 | − | 0.109710i | ||||
\(362\) | −2.51172 | − | 8.55414i | −0.132013 | − | 0.449596i | ||||
\(363\) | −12.4361 | + | 10.7759i | −0.652725 | + | 0.565589i | ||||
\(364\) | −2.39238 | − | 0.702466i | −0.125395 | − | 0.0368192i | ||||
\(365\) | 2.21995 | + | 28.9223i | 0.116198 | + | 1.51386i | ||||
\(366\) | −1.95790 | + | 13.6175i | −0.102341 | + | 0.711799i | ||||
\(367\) | − | 24.9237i | − | 1.30100i | −0.759505 | − | 0.650502i | \(-0.774559\pi\) | ||
0.759505 | − | 0.650502i | \(-0.225441\pi\) | |||||||
\(368\) | 2.32808 | − | 4.19286i | 0.121359 | − | 0.218568i | ||||
\(369\) | −2.00845 | −0.104556 | ||||||||
\(370\) | −11.3239 | − | 6.10703i | −0.588703 | − | 0.317489i | ||||
\(371\) | −0.566282 | − | 1.23998i | −0.0293999 | − | 0.0643768i | ||||
\(372\) | 1.80438 | − | 6.14515i | 0.0935527 | − | 0.318611i | ||||
\(373\) | −8.54253 | + | 7.40214i | −0.442315 | + | 0.383268i | −0.847352 | − | 0.531032i | \(-0.821804\pi\) |
0.405036 | + | 0.914301i | \(0.367259\pi\) | |||||||
\(374\) | 13.6597 | − | 4.01086i | 0.706328 | − | 0.207397i | ||||
\(375\) | −0.623345 | + | 11.1629i | −0.0321894 | + | 0.576452i | ||||
\(376\) | −2.27337 | + | 4.97799i | −0.117240 | + | 0.256720i | ||||
\(377\) | 23.1103 | + | 20.0252i | 1.19024 | + | 1.03135i | ||||
\(378\) | −0.378014 | − | 0.588202i | −0.0194430 | − | 0.0302538i | ||||
\(379\) | 3.30677 | + | 22.9991i | 0.169857 | + | 1.18138i | 0.879177 | + | 0.476496i | \(0.158093\pi\) |
−0.709319 | + | 0.704887i | \(0.750998\pi\) | |||||||
\(380\) | 8.51249 | + | 1.80542i | 0.436681 | + | 0.0926161i | ||||
\(381\) | 8.61162 | − | 5.53435i | 0.441187 | − | 0.283533i | ||||
\(382\) | −10.1230 | − | 8.77164i | −0.517939 | − | 0.448796i | ||||
\(383\) | 32.8631 | + | 15.0081i | 1.67923 | + | 0.766877i | 0.999440 | + | 0.0334683i | \(0.0106553\pi\) |
0.679788 | + | 0.733409i | \(0.262072\pi\) | |||||||
\(384\) | −0.841254 | − | 0.540641i | −0.0429300 | − | 0.0275895i | ||||
\(385\) | −8.17420 | − | 0.541876i | −0.416596 | − | 0.0276165i | ||||
\(386\) | −12.7071 | − | 14.6648i | −0.646776 | − | 0.746419i | ||||
\(387\) | −1.35206 | + | 4.60469i | −0.0687290 | + | 0.234070i | ||||
\(388\) | −6.64224 | + | 3.03341i | −0.337209 | + | 0.153998i | ||||
\(389\) | 0.329297 | − | 2.29031i | 0.0166960 | − | 0.116123i | −0.979769 | − | 0.200132i | \(-0.935863\pi\) |
0.996465 | + | 0.0840081i | \(0.0267721\pi\) | |||||||
\(390\) | 7.48560 | + | 2.74768i | 0.379048 | + | 0.139134i | ||||
\(391\) | −12.2405 | + | 4.46723i | −0.619029 | + | 0.225917i | ||||
\(392\) | − | 6.51112i | − | 0.328861i | ||||||
\(393\) | −10.6870 | − | 1.53656i | −0.539090 | − | 0.0775094i | ||||
\(394\) | −7.58642 | − | 16.6119i | −0.382198 | − | 0.836898i | ||||
\(395\) | 6.29950 | − | 8.50711i | 0.316962 | − | 0.428039i | ||||
\(396\) | −3.43133 | − | 3.95996i | −0.172431 | − | 0.198996i | ||||
\(397\) | −9.32110 | − | 31.7448i | −0.467813 | − | 1.59322i | −0.768730 | − | 0.639574i | \(-0.779111\pi\) |
0.300917 | − | 0.953650i | \(-0.402707\pi\) | |||||||
\(398\) | −6.60888 | + | 10.2836i | −0.331273 | + | 0.515471i | ||||
\(399\) | 1.13034 | − | 2.47509i | 0.0565876 | − | 0.123910i | ||||
\(400\) | 4.94143 | − | 0.763062i | 0.247072 | − | 0.0381531i | ||||
\(401\) | −5.41843 | + | 3.48222i | −0.270584 | + | 0.173894i | −0.668895 | − | 0.743357i | \(-0.733233\pi\) |
0.398312 | + | 0.917250i | \(0.369596\pi\) | |||||||
\(402\) | −3.44525 | + | 0.495352i | −0.171833 | + | 0.0247059i | ||||
\(403\) | 22.6067 | − | 3.25035i | 1.12612 | − | 0.161911i | ||||
\(404\) | −9.62568 | + | 6.18605i | −0.478896 | + | 0.307767i | ||||
\(405\) | 1.08184 | + | 1.95694i | 0.0537568 | + | 0.0972414i | ||||
\(406\) | 2.49069 | − | 5.45385i | 0.123611 | − | 0.270670i | ||||
\(407\) | −16.2994 | + | 25.3624i | −0.807931 | + | 1.25717i | ||||
\(408\) | 0.765463 | + | 2.60693i | 0.0378961 | + | 0.129062i | ||||
\(409\) | −13.1488 | − | 15.1745i | −0.650166 | − | 0.750332i | 0.330972 | − | 0.943641i | \(-0.392623\pi\) |
−0.981138 | + | 0.193309i | \(0.938078\pi\) | |||||||
\(410\) | −3.60922 | − | 2.67262i | −0.178247 | − | 0.131991i | ||||
\(411\) | −2.11168 | − | 4.62393i | −0.104161 | − | 0.228082i | ||||
\(412\) | 0.662661 | + | 0.0952763i | 0.0326470 | + | 0.00469393i | ||||
\(413\) | − | 7.62978i | − | 0.375437i | ||||||
\(414\) | 3.36712 | + | 3.41504i | 0.165485 | + | 0.167840i | ||||
\(415\) | 34.0649 | + | 12.5040i | 1.67218 | + | 0.613795i | ||||
\(416\) | 0.507504 | − | 3.52976i | 0.0248824 | − | 0.173061i | ||||
\(417\) | −6.61357 | + | 3.02031i | −0.323868 | + | 0.147905i | ||||
\(418\) | 5.74481 | − | 19.5650i | 0.280988 | − | 0.956957i | ||||
\(419\) | −3.11298 | − | 3.59257i | −0.152079 | − | 0.175509i | 0.674598 | − | 0.738185i | \(-0.264317\pi\) |
−0.826677 | + | 0.562677i | \(0.809772\pi\) | |||||||
\(420\) | 0.103416 | − | 1.56003i | 0.00504617 | − | 0.0761216i | ||||
\(421\) | 7.03159 | + | 4.51893i | 0.342699 | + | 0.220239i | 0.700657 | − | 0.713499i | \(-0.252890\pi\) |
−0.357958 | + | 0.933738i | \(0.616527\pi\) | |||||||
\(422\) | −16.9855 | − | 7.75700i | −0.826839 | − | 0.377605i | ||||
\(423\) | −4.13586 | − | 3.58374i | −0.201092 | − | 0.174248i | ||||
\(424\) | 1.64013 | − | 1.05405i | 0.0796517 | − | 0.0511890i | ||||
\(425\) | −11.5042 | − | 7.22518i | −0.558036 | − | 0.350473i | ||||
\(426\) | −0.0479933 | − | 0.333800i | −0.00232528 | − | 0.0161727i | ||||
\(427\) | 5.20055 | + | 8.09221i | 0.251672 | + | 0.391610i | ||||
\(428\) | 13.3213 | + | 11.5430i | 0.643911 | + | 0.557952i | ||||
\(429\) | 7.76219 | − | 16.9968i | 0.374762 | − | 0.820614i | ||||
\(430\) | −8.55708 | + | 6.47553i | −0.412659 | + | 0.312278i | ||||
\(431\) | 12.5236 | − | 3.67727i | 0.603242 | − | 0.177128i | 0.0341706 | − | 0.999416i | \(-0.489121\pi\) |
0.569071 | + | 0.822288i | \(0.307303\pi\) | |||||||
\(432\) | 0.755750 | − | 0.654861i | 0.0363610 | − | 0.0315070i | ||||
\(433\) | 0.235621 | − | 0.802452i | 0.0113232 | − | 0.0385634i | −0.953638 | − | 0.300957i | \(-0.902694\pi\) |
0.964961 | + | 0.262394i | \(0.0845120\pi\) | |||||||
\(434\) | −1.86026 | − | 4.07339i | −0.0892951 | − | 0.195529i | ||||
\(435\) | −9.10161 | + | 16.8766i | −0.436389 | + | 0.809172i | ||||
\(436\) | 19.3540 | 0.926888 | ||||||||
\(437\) | −4.09592 | + | 18.2084i | −0.195935 | + | 0.871024i | ||||
\(438\) | 12.9725i | 0.619849i | ||||||||
\(439\) | −2.32546 | + | 16.1739i | −0.110988 | + | 0.771940i | 0.855974 | + | 0.517020i | \(0.172959\pi\) |
−0.966962 | + | 0.254921i | \(0.917951\pi\) | |||||||
\(440\) | −0.896672 | − | 11.6821i | −0.0427471 | − | 0.556924i | ||||
\(441\) | 6.24738 | + | 1.83440i | 0.297494 | + | 0.0873522i | ||||
\(442\) | −7.32241 | + | 6.34491i | −0.348292 | + | 0.301796i | ||||
\(443\) | 1.27270 | + | 4.33442i | 0.0604678 | + | 0.205935i | 0.984186 | − | 0.177138i | \(-0.0566840\pi\) |
−0.923718 | + | 0.383073i | \(0.874866\pi\) | |||||||
\(444\) | −4.84035 | − | 3.11070i | −0.229713 | − | 0.147627i | ||||
\(445\) | −14.3785 | − | 14.2295i | −0.681604 | − | 0.674545i | ||||
\(446\) | 5.08515 | − | 5.86858i | 0.240789 | − | 0.277885i | ||||
\(447\) | 12.4066 | + | 19.3051i | 0.586813 | + | 0.913099i | ||||
\(448\) | −0.692080 | + | 0.0995061i | −0.0326977 | + | 0.00470122i | ||||
\(449\) | 1.69888 | + | 11.8159i | 0.0801749 | + | 0.557628i | 0.989829 | + | 0.142262i | \(0.0454376\pi\) |
−0.909654 | + | 0.415366i | \(0.863653\pi\) | |||||||
\(450\) | −0.660009 | + | 4.95625i | −0.0311131 | + | 0.233640i | ||||
\(451\) | −6.89165 | + | 7.95339i | −0.324515 | + | 0.374510i | ||||
\(452\) | −7.59581 | − | 3.46889i | −0.357277 | − | 0.163163i | ||||
\(453\) | −5.69548 | + | 8.86234i | −0.267597 | + | 0.416389i | ||||
\(454\) | −0.0728235 | + | 0.0213829i | −0.00341778 | + | 0.00100355i | ||||
\(455\) | 5.21362 | − | 1.97556i | 0.244418 | − | 0.0926156i | ||||
\(456\) | 3.73394 | + | 1.09638i | 0.174858 | + | 0.0513429i | ||||
\(457\) | −11.1120 | + | 5.07468i | −0.519797 | + | 0.237383i | −0.657996 | − | 0.753021i | \(-0.728596\pi\) |
0.138199 | + | 0.990404i | \(0.455869\pi\) | |||||||
\(458\) | 14.5156 | + | 2.08703i | 0.678269 | + | 0.0975203i | ||||
\(459\) | −2.71699 | −0.126818 | ||||||||
\(460\) | 1.50642 | + | 10.6175i | 0.0702372 | + | 0.495042i | ||||
\(461\) | −26.9976 | −1.25740 | −0.628701 | − | 0.777647i | \(-0.716413\pi\) | ||||
−0.628701 | + | 0.777647i | \(0.716413\pi\) | |||||||
\(462\) | −3.62635 | − | 0.521390i | −0.168713 | − | 0.0242573i | ||||
\(463\) | 10.4920 | − | 4.79156i | 0.487607 | − | 0.222683i | −0.156413 | − | 0.987692i | \(-0.549993\pi\) |
0.644019 | + | 0.765009i | \(0.277266\pi\) | |||||||
\(464\) | 8.22773 | + | 2.41588i | 0.381963 | + | 0.112154i | ||||
\(465\) | 5.07449 | + | 13.3919i | 0.235324 | + | 0.621035i | ||||
\(466\) | 16.5115 | − | 4.84822i | 0.764882 | − | 0.224590i | ||||
\(467\) | −9.48329 | + | 14.7563i | −0.438834 | + | 0.682839i | −0.988273 | − | 0.152694i | \(-0.951205\pi\) |
0.549439 | + | 0.835534i | \(0.314841\pi\) | |||||||
\(468\) | 3.24380 | + | 1.48140i | 0.149945 | + | 0.0684775i | ||||
\(469\) | −1.59372 | + | 1.83925i | −0.0735912 | + | 0.0849287i | ||||
\(470\) | −2.66336 | − | 11.9436i | −0.122852 | − | 0.550917i | ||||
\(471\) | 1.51408 | + | 10.5307i | 0.0697652 | + | 0.485228i | ||||
\(472\) | 10.8011 | − | 1.55297i | 0.497163 | − | 0.0714812i | ||||
\(473\) | 13.5950 | + | 21.1543i | 0.625101 | + | 0.972676i | ||||
\(474\) | 3.10012 | − | 3.57773i | 0.142393 | − | 0.164331i | ||||
\(475\) | −17.6144 | + | 8.26694i | −0.808205 | + | 0.379313i | ||||
\(476\) | 1.59814 | + | 1.02706i | 0.0732504 | + | 0.0470752i | ||||
\(477\) | 0.549273 | + | 1.87065i | 0.0251495 | + | 0.0856512i | ||||
\(478\) | −3.07985 | + | 2.66870i | −0.140869 | + | 0.122064i | ||||
\(479\) | −6.31947 | − | 1.85556i | −0.288744 | − | 0.0847829i | 0.134153 | − | 0.990961i | \(-0.457169\pi\) |
−0.422897 | + | 0.906178i | \(0.638987\pi\) | |||||||
\(480\) | 2.22951 | − | 0.171128i | 0.101763 | − | 0.00781088i | ||||
\(481\) | 2.92004 | − | 20.3093i | 0.133142 | − | 0.926025i | ||||
\(482\) | 23.9678i | 1.09170i | ||||||||
\(483\) | 3.34291 | + | 0.262840i | 0.152108 | + | 0.0119596i | ||||
\(484\) | −16.4553 | −0.747968 | ||||||||
\(485\) | 7.75048 | − | 14.3713i | 0.351931 | − | 0.652568i | ||||
\(486\) | 0.415415 | + | 0.909632i | 0.0188436 | + | 0.0412617i | ||||
\(487\) | 10.8847 | − | 37.0698i | 0.493232 | − | 1.67979i | −0.217281 | − | 0.976109i | \(-0.569719\pi\) |
0.710513 | − | 0.703684i | \(-0.248463\pi\) | |||||||
\(488\) | −10.3973 | + | 9.00928i | −0.470662 | + | 0.407831i | ||||
\(489\) | −0.632127 | + | 0.185609i | −0.0285858 | + | 0.00839354i | ||||
\(490\) | 8.78563 | + | 11.6098i | 0.396894 | + | 0.524475i | ||||
\(491\) | 12.1731 | − | 26.6554i | 0.549365 | − | 1.20294i | −0.407713 | − | 0.913110i | \(-0.633674\pi\) |
0.957078 | − | 0.289831i | \(-0.0935992\pi\) | |||||||
\(492\) | −1.51789 | − | 1.31526i | −0.0684316 | − | 0.0592963i | ||||
\(493\) | −12.5960 | − | 19.5998i | −0.567297 | − | 0.882732i | ||||
\(494\) | 1.97499 | + | 13.7364i | 0.0888590 | + | 0.618028i | ||||
\(495\) | 11.4616 | + | 2.43089i | 0.515159 | + | 0.109260i | ||||
\(496\) | 5.38788 | − | 3.46258i | 0.241923 | − | 0.155474i | ||||
\(497\) | −0.178200 | − | 0.154411i | −0.00799336 | − | 0.00692628i | ||||
\(498\) | 14.7617 | + | 6.74143i | 0.661486 | + | 0.302091i | ||||
\(499\) | −3.82672 | − | 2.45928i | −0.171307 | − | 0.110093i | 0.452177 | − | 0.891928i | \(-0.350647\pi\) |
−0.623485 | + | 0.781835i | \(0.714284\pi\) | |||||||
\(500\) | −7.78127 | + | 8.02819i | −0.347989 | + | 0.359032i | ||||
\(501\) | −6.05811 | − | 6.99143i | −0.270656 | − | 0.312354i | ||||
\(502\) | 0.470313 | − | 1.60174i | 0.0209911 | − | 0.0714891i | ||||
\(503\) | −6.79778 | + | 3.10444i | −0.303098 | + | 0.138420i | −0.561158 | − | 0.827709i | \(-0.689644\pi\) |
0.258060 | + | 0.966129i | \(0.416917\pi\) | |||||||
\(504\) | 0.0995061 | − | 0.692080i | 0.00443235 | − | 0.0308277i | ||||
\(505\) | 8.81621 | − | 24.0183i | 0.392316 | − | 1.06880i | ||||
\(506\) | 25.0771 | − | 1.61557i | 1.11481 | − | 0.0718207i | ||||
\(507\) | − | 0.283203i | − | 0.0125775i | ||||||
\(508\) | 10.1325 | + | 1.45683i | 0.449555 | + | 0.0646363i | ||||
\(509\) | 18.7127 | + | 40.9751i | 0.829426 | + | 1.81619i | 0.467580 | + | 0.883951i | \(0.345126\pi\) |
0.361846 | + | 0.932238i | \(0.382147\pi\) | |||||||
\(510\) | −4.88247 | − | 3.61546i | −0.216199 | − | 0.160095i | ||||
\(511\) | 5.93980 | + | 6.85489i | 0.262761 | + | 0.303242i | ||||
\(512\) | −0.281733 | − | 0.959493i | −0.0124509 | − | 0.0424040i | ||||
\(513\) | −2.10395 | + | 3.27381i | −0.0928915 | + | 0.144542i | ||||
\(514\) | 3.61478 | − | 7.91526i | 0.159441 | − | 0.349127i | ||||
\(515\) | −1.31013 | + | 0.724262i | −0.0577311 | + | 0.0319148i | ||||
\(516\) | −4.03725 | + | 2.59458i | −0.177730 | + | 0.114220i | ||||
\(517\) | −28.3830 | + | 4.08085i | −1.24828 | + | 0.179476i | ||||
\(518\) | −3.98204 | + | 0.572532i | −0.174961 | + | 0.0251556i | ||||
\(519\) | 2.05649 | − | 1.32163i | 0.0902698 | − | 0.0580129i | ||||
\(520\) | 3.85789 | + | 6.97859i | 0.169180 | + | 0.306031i | ||||
\(521\) | 8.96959 | − | 19.6407i | 0.392965 | − | 0.860473i | −0.604970 | − | 0.796248i | \(-0.706815\pi\) |
0.997935 | − | 0.0642254i | \(-0.0204577\pi\) | |||||||
\(522\) | −4.63604 | + | 7.21381i | −0.202914 | + | 0.315740i | ||||
\(523\) | 10.1525 | + | 34.5763i | 0.443938 | + | 1.51191i | 0.812863 | + | 0.582455i | \(0.197908\pi\) |
−0.368924 | + | 0.929459i | \(0.620274\pi\) | |||||||
\(524\) | −7.07049 | − | 8.15978i | −0.308876 | − | 0.356461i | ||||
\(525\) | 1.92059 | + | 2.92117i | 0.0838214 | + | 0.127490i | ||||
\(526\) | 7.60801 | + | 16.6592i | 0.331725 | + | 0.726377i | ||||
\(527\) | −17.2240 | − | 2.47644i | −0.750291 | − | 0.107876i | ||||
\(528\) | − | 5.23978i | − | 0.228032i | ||||||
\(529\) | −22.8099 | + | 2.95125i | −0.991733 | + | 0.128315i | ||||
\(530\) | −1.50220 | + | 4.09250i | −0.0652515 | + | 0.177767i | ||||
\(531\) | −1.55297 | + | 10.8011i | −0.0673931 | + | 0.468729i | ||||
\(532\) | 2.47509 | − | 1.13034i | 0.107309 | − | 0.0490063i | ||||
\(533\) | 2.01784 | − | 6.87214i | 0.0874024 | − | 0.297665i | ||||
\(534\) | −5.92437 | − | 6.83709i | −0.256373 | − | 0.295870i | ||||
\(535\) | −39.3281 | − | 2.60710i | −1.70030 | − | 0.112715i | ||||
\(536\) | −2.92813 | − | 1.88180i | −0.126476 | − | 0.0812812i | ||||
\(537\) | 11.9678 | + | 5.46549i | 0.516447 | + | 0.235853i | ||||
\(538\) | −10.0455 | − | 8.70447i | −0.433092 | − | 0.375276i | ||||
\(539\) | 28.7009 | − | 18.4450i | 1.23624 | − | 0.794481i | ||||
\(540\) | −0.463930 | + | 2.18741i | −0.0199644 | + | 0.0941312i | ||||
\(541\) | −0.764317 | − | 5.31594i | −0.0328606 | − | 0.228550i | 0.966772 | − | 0.255638i | \(-0.0822856\pi\) |
−0.999633 | + | 0.0270881i | \(0.991377\pi\) | |||||||
\(542\) | 1.01562 | + | 1.58034i | 0.0436246 | + | 0.0678812i | ||||
\(543\) | 6.73772 | + | 5.83826i | 0.289143 | + | 0.250544i | ||||
\(544\) | −1.12868 | + | 2.47146i | −0.0483916 | + | 0.105963i | ||||
\(545\) | −34.5094 | + | 26.1148i | −1.47822 | + | 1.11864i | ||||
\(546\) | 2.39238 | − | 0.702466i | 0.102384 | − | 0.0300628i | ||||
\(547\) | 14.8188 | − | 12.8406i | 0.633608 | − | 0.549024i | −0.277743 | − | 0.960656i | \(-0.589586\pi\) |
0.911351 | + | 0.411631i | \(0.135041\pi\) | |||||||
\(548\) | 1.43213 | − | 4.87739i | 0.0611775 | − | 0.208352i | ||||
\(549\) | −5.71509 | − | 12.5143i | −0.243914 | − | 0.534097i | ||||
\(550\) | 17.3618 | + | 19.6201i | 0.740311 | + | 0.836604i | ||||
\(551\) | −33.3706 | −1.42164 | ||||||||
\(552\) | 0.308327 | + | 4.78591i | 0.0131233 | + | 0.203702i | ||||
\(553\) | − | 3.31001i | − | 0.140756i | ||||||
\(554\) | 2.16569 | − | 15.0627i | 0.0920115 | − | 0.639954i | ||||
\(555\) | 12.8280 | − | 0.984624i | 0.544519 | − | 0.0417949i | ||||
\(556\) | −6.97609 | − | 2.04836i | −0.295852 | − | 0.0868700i | ||||
\(557\) | 5.70848 | − | 4.94643i | 0.241876 | − | 0.209587i | −0.525484 | − | 0.850804i | \(-0.676116\pi\) |
0.767360 | + | 0.641217i | \(0.221570\pi\) | |||||||
\(558\) | 1.80438 | + | 6.14515i | 0.0763855 | + | 0.260145i | ||||
\(559\) | −14.3971 | − | 9.25244i | −0.608932 | − | 0.391337i | ||||
\(560\) | 1.09976 | − | 1.11127i | 0.0464732 | − | 0.0469596i | ||||
\(561\) | −9.32286 | + | 10.7592i | −0.393612 | + | 0.454252i | ||||
\(562\) | −9.45148 | − | 14.7068i | −0.398687 | − | 0.620369i | ||||
\(563\) | −9.00327 | + | 1.29448i | −0.379443 | + | 0.0545556i | −0.329398 | − | 0.944191i | \(-0.606846\pi\) |
−0.0500452 | + | 0.998747i | \(0.515937\pi\) | |||||||
\(564\) | −0.778822 | − | 5.41682i | −0.0327943 | − | 0.228089i | ||||
\(565\) | 18.2245 | − | 4.06397i | 0.766710 | − | 0.170972i | ||||
\(566\) | −12.6563 | + | 14.6062i | −0.531985 | + | 0.613943i | ||||
\(567\) | 0.636012 | + | 0.290457i | 0.0267100 | + | 0.0121980i | ||||
\(568\) | 0.182322 | − | 0.283698i | 0.00765006 | − | 0.0119037i | ||||
\(569\) | −1.36234 | + | 0.400018i | −0.0571121 | + | 0.0167696i | −0.310164 | − | 0.950683i | \(-0.600384\pi\) |
0.253052 | + | 0.967453i | \(0.418566\pi\) | |||||||
\(570\) | −8.13724 | + | 3.08338i | −0.340832 | + | 0.129149i | ||||
\(571\) | −34.9130 | − | 10.2514i | −1.46106 | − | 0.429007i | −0.547880 | − | 0.836557i | \(-0.684565\pi\) |
−0.913183 | + | 0.407550i | \(0.866383\pi\) | |||||||
\(572\) | 16.9968 | − | 7.76219i | 0.710673 | − | 0.324553i | ||||
\(573\) | 13.2583 | + | 1.90626i | 0.553875 | + | 0.0796352i | ||||
\(574\) | −1.40430 | −0.0586145 | ||||||||
\(575\) | −17.0125 | − | 16.8990i | −0.709469 | − | 0.704736i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | 37.8576 | + | 5.44311i | 1.57603 | + | 0.226600i | 0.874137 | − | 0.485679i | \(-0.161428\pi\) |
0.701897 | + | 0.712278i | \(0.252337\pi\) | |||||||
\(578\) | −8.74883 | + | 3.99546i | −0.363903 | + | 0.166189i | ||||
\(579\) | 18.6183 | + | 5.46683i | 0.773751 | + | 0.227194i | ||||
\(580\) | −17.9304 | + | 6.79422i | −0.744518 | + | 0.282115i | ||||
\(581\) | 10.8871 | − | 3.19673i | 0.451672 | − | 0.132623i | ||||
\(582\) | 3.94782 | − | 6.14293i | 0.163643 | − | 0.254633i | ||||
\(583\) | 9.29244 | + | 4.24372i | 0.384854 | + | 0.175757i | ||||
\(584\) | −8.49517 | + | 9.80395i | −0.351533 | + | 0.405690i | ||||
\(585\) | −7.78280 | + | 1.73552i | −0.321779 | + | 0.0717551i | ||||
\(586\) | 4.13480 | + | 28.7582i | 0.170807 | + | 1.18799i | ||||
\(587\) | −23.8886 | + | 3.43466i | −0.985988 | + | 0.141764i | −0.616401 | − | 0.787432i | \(-0.711410\pi\) |
−0.369587 | + | 0.929196i | \(0.620501\pi\) | |||||||
\(588\) | 3.52018 | + | 5.47751i | 0.145170 | + | 0.225889i | ||||
\(589\) | −16.3217 | + | 18.8363i | −0.672525 | + | 0.776135i | ||||
\(590\) | −17.1637 | + | 17.3433i | −0.706617 | + | 0.714012i | ||||
\(591\) | 15.3632 | + | 9.87333i | 0.631958 | + | 0.406135i | ||||
\(592\) | −1.62101 | − | 5.52067i | −0.0666233 | − | 0.226898i | ||||
\(593\) | 11.9524 | − | 10.3568i | 0.490828 | − | 0.425305i | −0.373958 | − | 0.927446i | \(-0.622000\pi\) |
0.864786 | + | 0.502141i | \(0.167454\pi\) | |||||||
\(594\) | 5.02753 | + | 1.47622i | 0.206282 | + | 0.0605699i | ||||
\(595\) | −4.23542 | + | 0.325093i | −0.173635 | + | 0.0133275i | ||||
\(596\) | −3.26584 | + | 22.7144i | −0.133774 | + | 0.930418i | ||||
\(597\) | − | 12.2242i | − | 0.500302i | ||||||
\(598\) | −15.0678 | + | 8.08998i | −0.616168 | + | 0.330824i | ||||
\(599\) | 17.9876 | 0.734955 | 0.367478 | − | 0.930032i | \(-0.380221\pi\) | ||||
0.367478 | + | 0.930032i | \(0.380221\pi\) | |||||||
\(600\) | −3.74445 | + | 3.31347i | −0.152867 | + | 0.135272i | ||||
\(601\) | 18.5179 | + | 40.5485i | 0.755361 | + | 1.65401i | 0.756486 | + | 0.654010i | \(0.226915\pi\) |
−0.00112508 | + | 0.999999i | \(0.500358\pi\) | |||||||
\(602\) | −0.945356 | + | 3.21959i | −0.0385298 | + | 0.131221i | ||||
\(603\) | 2.63052 | − | 2.27936i | 0.107123 | − | 0.0928226i | ||||
\(604\) | −10.1080 | + | 2.96796i | −0.411287 | + | 0.120765i | ||||
\(605\) | 29.3408 | − | 22.2036i | 1.19288 | − | 0.902703i | ||||
\(606\) | 4.75321 | − | 10.4081i | 0.193086 | − | 0.422799i | ||||
\(607\) | 18.7469 | + | 16.2443i | 0.760912 | + | 0.659334i | 0.946285 | − | 0.323334i | \(-0.104804\pi\) |
−0.185373 | + | 0.982668i | \(0.559349\pi\) | |||||||
\(608\) | 2.10395 | + | 3.27381i | 0.0853263 | + | 0.132770i | ||||
\(609\) | 0.853273 | + | 5.93464i | 0.0345763 | + | 0.240484i | ||||
\(610\) | 6.38253 | − | 30.0934i | 0.258421 | − | 1.21845i | ||||
\(611\) | 16.4174 | − | 10.5508i | 0.664176 | − | 0.426840i | ||||
\(612\) | −2.05336 | − | 1.77925i | −0.0830022 | − | 0.0719218i | ||||
\(613\) | 18.2522 | + | 8.33551i | 0.737201 | + | 0.336668i | 0.748381 | − | 0.663269i | \(-0.230832\pi\) |
−0.0111803 | + | 0.999937i | \(0.503559\pi\) | |||||||
\(614\) | 14.4011 | + | 9.25501i | 0.581180 | + | 0.373502i | ||||
\(615\) | 4.48120 | + | 0.297063i | 0.180699 | + | 0.0119787i | ||||
\(616\) | −2.39917 | − | 2.76879i | −0.0966654 | − | 0.111558i | ||||
\(617\) | 12.8572 | − | 43.7876i | 0.517611 | − | 1.76282i | −0.120326 | − | 0.992734i | \(-0.538394\pi\) |
0.637938 | − | 0.770088i | \(-0.279788\pi\) | |||||||
\(618\) | −0.608977 | + | 0.278110i | −0.0244966 | + | 0.0111872i | ||||
\(619\) | −3.39385 | + | 23.6047i | −0.136410 | + | 0.948755i | 0.800537 | + | 0.599284i | \(0.204548\pi\) |
−0.936947 | + | 0.349471i | \(0.886361\pi\) | |||||||
\(620\) | −4.93479 | + | 13.4440i | −0.198186 | + | 0.539924i | ||||
\(621\) | −4.67891 | − | 1.05251i | −0.187758 | − | 0.0422357i | ||||
\(622\) | 20.6450i | 0.827790i | ||||||||
\(623\) | −6.26109 | − | 0.900208i | −0.250845 | − | 0.0360661i | ||||
\(624\) | 1.48140 | + | 3.24380i | 0.0593033 | + | 0.129856i | ||||
\(625\) | 3.04186 | − | 24.8143i | 0.121674 | − | 0.992570i | ||||
\(626\) | −8.75417 | − | 10.1029i | −0.349887 | − | 0.403791i | ||||
\(627\) | 5.74481 | + | 19.5650i | 0.229426 | + | 0.781353i | ||||
\(628\) | −5.75186 | + | 8.95007i | −0.229524 | + | 0.357147i | ||||
\(629\) | −6.49410 | + | 14.2201i | −0.258937 | + | 0.566993i | ||||
\(630\) | 0.756416 | + | 1.36829i | 0.0301363 | + | 0.0545140i | ||||
\(631\) | 2.84185 | − | 1.82635i | 0.113132 | − | 0.0727057i | −0.482851 | − | 0.875702i | \(-0.660399\pi\) |
0.595983 | + | 0.802997i | \(0.296762\pi\) | |||||||
\(632\) | 4.68583 | − | 0.673721i | 0.186392 | − | 0.0267992i | ||||
\(633\) | 18.4828 | − | 2.65743i | 0.734627 | − | 0.105623i | ||||
\(634\) | −2.55913 | + | 1.64465i | −0.101636 | + | 0.0653176i | ||||
\(635\) | −20.0326 | + | 11.0744i | −0.794968 | + | 0.439473i | ||||
\(636\) | −0.809903 | + | 1.77344i | −0.0321148 | + | 0.0703215i | ||||
\(637\) | −12.5532 | + | 19.5331i | −0.497375 | + | 0.773931i | ||||
\(638\) | 12.6587 | + | 43.1115i | 0.501162 | + | 1.70680i | ||||
\(639\) | 0.220841 | + | 0.254864i | 0.00873632 | + | 0.0100823i | ||||
\(640\) | 1.79702 | + | 1.33069i | 0.0710333 | + | 0.0526001i | ||||
\(641\) | 5.74361 | + | 12.5768i | 0.226859 | + | 0.496752i | 0.988495 | − | 0.151253i | \(-0.0483308\pi\) |
−0.761636 | + | 0.648005i | \(0.775604\pi\) | |||||||
\(642\) | −17.4472 | − | 2.50854i | −0.688588 | − | 0.0990040i | ||||
\(643\) | 24.0953i | 0.950224i | 0.879925 | + | 0.475112i | \(0.157592\pi\) | ||||
−0.879925 | + | 0.475112i | \(0.842408\pi\) | |||||||
\(644\) | 2.35428 | + | 2.38778i | 0.0927717 | + | 0.0940919i | ||||
\(645\) | 3.69774 | − | 10.0739i | 0.145598 | − | 0.396658i | ||||
\(646\) | 1.50475 | − | 10.4657i | 0.0592035 | − | 0.411769i | ||||
\(647\) | 41.9590 | − | 19.1620i | 1.64958 | − | 0.753337i | 0.649603 | − | 0.760274i | \(-0.274935\pi\) |
0.999976 | + | 0.00693652i | \(0.00220798\pi\) | |||||||
\(648\) | −0.281733 | + | 0.959493i | −0.0110675 | + | 0.0376924i | ||||
\(649\) | 37.4433 | + | 43.2119i | 1.46978 | + | 1.69622i | ||||
\(650\) | −16.2953 | − | 7.23772i | −0.639153 | − | 0.283887i | ||||
\(651\) | 3.76719 | + | 2.42103i | 0.147648 | + | 0.0948875i | ||||
\(652\) | −0.599278 | − | 0.273681i | −0.0234695 | − | 0.0107182i | ||||
\(653\) | 8.60115 | + | 7.45294i | 0.336589 | + | 0.291656i | 0.806712 | − | 0.590945i | \(-0.201245\pi\) |
−0.470123 | + | 0.882601i | \(0.655790\pi\) | |||||||
\(654\) | −16.2816 | + | 10.4636i | −0.636661 | + | 0.409157i | ||||
\(655\) | 23.6173 | + | 5.00902i | 0.922805 | + | 0.195718i | ||||
\(656\) | −0.285832 | − | 1.98801i | −0.0111599 | − | 0.0776187i | ||||
\(657\) | −7.01345 | − | 10.9131i | −0.273621 | − | 0.425762i | ||||
\(658\) | −2.89178 | − | 2.50574i | −0.112733 | − | 0.0976840i | ||||
\(659\) | 10.4342 | − | 22.8477i | 0.406459 | − | 0.890021i | −0.590115 | − | 0.807319i | \(-0.700918\pi\) |
0.996574 | − | 0.0827023i | \(-0.0263551\pi\) | |||||||
\(660\) | 7.07017 | + | 9.34287i | 0.275206 | + | 0.363671i | ||||
\(661\) | −2.43097 | + | 0.713797i | −0.0945538 | + | 0.0277635i | −0.328667 | − | 0.944446i | \(-0.606599\pi\) |
0.234113 | + | 0.972209i | \(0.424781\pi\) | |||||||
\(662\) | −10.6612 | + | 9.23796i | −0.414358 | + | 0.359044i | ||||
\(663\) | 2.72969 | − | 9.29647i | 0.106012 | − | 0.361045i | ||||
\(664\) | 6.74143 | + | 14.7617i | 0.261618 | + | 0.572864i | ||||
\(665\) | −2.88806 | + | 5.35517i | −0.111994 | + | 0.207664i | ||||
\(666\) | 5.75373 | 0.222953 | ||||||||
\(667\) | −14.0990 | − | 38.6323i | −0.545916 | − | 1.49585i | ||||
\(668\) | − | 9.25099i | − | 0.357932i | ||||||
\(669\) | −1.10511 | + | 7.68620i | −0.0427260 | + | 0.297166i | ||||
\(670\) | 7.76020 | − | 0.595640i | 0.299803 | − | 0.0230116i | ||||
\(671\) | −69.1665 | − | 20.3091i | −2.67014 | − | 0.784025i | ||||
\(672\) | 0.528418 | − | 0.457877i | 0.0203842 | − | 0.0176630i | ||||
\(673\) | −7.08131 | − | 24.1167i | −0.272965 | − | 0.929632i | −0.975871 | − | 0.218349i | \(-0.929933\pi\) |
0.702906 | − | 0.711283i | \(-0.251885\pi\) | |||||||
\(674\) | 15.0771 | + | 9.68943i | 0.580746 | + | 0.373223i | ||||
\(675\) | −2.12431 | − | 4.52629i | −0.0817649 | − | 0.174217i | ||||
\(676\) | 0.185459 | − | 0.214031i | 0.00713303 | − | 0.00823196i | ||||
\(677\) | −11.8284 | − | 18.4054i | −0.454603 | − | 0.707376i | 0.535989 | − | 0.844225i | \(-0.319939\pi\) |
−0.990592 | + | 0.136849i | \(0.956303\pi\) | |||||||
\(678\) | 8.26542 | − | 1.18839i | 0.317432 | − | 0.0456398i | ||||
\(679\) | −0.726605 | − | 5.05365i | −0.0278846 | − | 0.193941i | ||||
\(680\) | −1.32230 | − | 5.92972i | −0.0507078 | − | 0.227394i | ||||
\(681\) | 0.0497026 | − | 0.0573598i | 0.00190461 | − | 0.00219803i | ||||
\(682\) | 30.5260 | + | 13.9408i | 1.16890 | + | 0.533819i | ||||
\(683\) | −25.8187 | + | 40.1747i | −0.987926 | + | 1.53724i | −0.152014 | + | 0.988378i | \(0.548576\pi\) |
−0.835912 | + | 0.548864i | \(0.815061\pi\) | |||||||
\(684\) | −3.73394 | + | 1.09638i | −0.142771 | + | 0.0419213i | ||||
\(685\) | 4.02760 | + | 10.6291i | 0.153887 | + | 0.406117i | ||||
\(686\) | 9.06427 | + | 2.66151i | 0.346075 | + | 0.101617i | ||||
\(687\) | −13.3396 | + | 6.09200i | −0.508938 | + | 0.232424i | ||||
\(688\) | −4.75024 | − | 0.682982i | −0.181101 | − | 0.0260384i | ||||
\(689\) | −6.95248 | −0.264868 | ||||||||
\(690\) | −7.00752 | − | 8.11755i | −0.266772 | − | 0.309030i | ||||
\(691\) | 23.0171 | 0.875612 | 0.437806 | − | 0.899069i | \(-0.355756\pi\) | ||||
0.437806 | + | 0.899069i | \(0.355756\pi\) | |||||||
\(692\) | 2.41967 | + | 0.347896i | 0.0919821 | + | 0.0132250i | ||||
\(693\) | 3.33256 | − | 1.52193i | 0.126594 | − | 0.0578133i | ||||
\(694\) | 6.39079 | + | 1.87650i | 0.242591 | + | 0.0712311i | ||||
\(695\) | 15.2027 | − | 5.76065i | 0.576672 | − | 0.218514i | ||||
\(696\) | −8.22773 | + | 2.41588i | −0.311871 | + | 0.0915736i | ||||
\(697\) | −2.95024 | + | 4.59066i | −0.111748 | + | 0.173884i | ||||
\(698\) | 14.5858 | + | 6.66113i | 0.552082 | + | 0.252127i | ||||
\(699\) | −11.2692 | + | 13.0054i | −0.426242 | + | 0.491909i | ||||
\(700\) | −0.461476 | + | 3.46539i | −0.0174422 | + | 0.130980i | ||||
\(701\) | 1.18616 | + | 8.24992i | 0.0448006 | + | 0.311595i | 0.999884 | + | 0.0152567i | \(0.00485655\pi\) |
−0.955083 | + | 0.296338i | \(0.904234\pi\) | |||||||
\(702\) | −3.52976 | + | 0.507504i | −0.133222 | + | 0.0191545i | ||||
\(703\) | 12.1056 | + | 18.8366i | 0.456569 | + | 0.710436i | ||||
\(704\) | 3.43133 | − | 3.95996i | 0.129323 | − | 0.149247i | ||||
\(705\) | 8.69775 | + | 8.60766i | 0.327576 | + | 0.324183i | ||||
\(706\) | −6.19823 | − | 3.98336i | −0.233273 | − | 0.149916i | ||||
\(707\) | −2.25393 | − | 7.67619i | −0.0847679 | − | 0.288693i | ||||
\(708\) | −8.24690 | + | 7.14598i | −0.309937 | + | 0.268562i | ||||
\(709\) | 8.07302 | + | 2.37045i | 0.303189 | + | 0.0890242i | 0.429788 | − | 0.902930i | \(-0.358588\pi\) |
−0.126600 | + | 0.991954i | \(0.540406\pi\) | |||||||
\(710\) | 0.0577099 | + | 0.751864i | 0.00216581 | + | 0.0282170i | ||||
\(711\) | −0.673721 | + | 4.68583i | −0.0252665 | + | 0.175732i | ||||
\(712\) | − | 9.04677i | − | 0.339042i | ||||||
\(713\) | −28.7021 | − | 10.9369i | −1.07490 | − | 0.409592i | ||||
\(714\) | −1.89971 | −0.0710948 | ||||||||
\(715\) | −19.8327 | + | 36.7747i | −0.741701 | + | 1.37530i | ||||
\(716\) | 5.46549 | + | 11.9678i | 0.204255 | + | 0.447256i | ||||
\(717\) | 1.14812 | − | 3.91015i | 0.0428774 | − | 0.146027i | ||||
\(718\) | −19.0396 | + | 16.4979i | −0.710550 | + | 0.615695i | ||||
\(719\) | −3.52071 | + | 1.03377i | −0.131300 | + | 0.0385533i | −0.346723 | − | 0.937968i | \(-0.612705\pi\) |
0.215422 | + | 0.976521i | \(0.430887\pi\) | |||||||
\(720\) | −1.78306 | + | 1.34933i | −0.0664509 | + | 0.0502864i | ||||
\(721\) | −0.194454 | + | 0.425795i | −0.00724184 | + | 0.0158574i | ||||
\(722\) | 2.91387 | + | 2.52488i | 0.108443 | + | 0.0939665i | ||||
\(723\) | −12.9580 | − | 20.1630i | −0.481913 | − | 0.749871i | ||||
\(724\) | 1.26878 | + | 8.82453i | 0.0471537 | + | 0.327961i | ||||
\(725\) | 22.8034 | − | 36.3085i | 0.846897 | − | 1.34846i | ||||
\(726\) | 13.8431 | − | 8.89640i | 0.513765 | − | 0.330176i | ||||
\(727\) | 9.73748 | + | 8.43757i | 0.361143 | + | 0.312932i | 0.816465 | − | 0.577394i | \(-0.195931\pi\) |
−0.455322 | + | 0.890327i | \(0.650476\pi\) | |||||||
\(728\) | 2.26806 | + | 1.03579i | 0.0840598 | + | 0.0383888i | ||||
\(729\) | −0.841254 | − | 0.540641i | −0.0311575 | − | 0.0200237i | ||||
\(730\) | 1.91871 | − | 28.9438i | 0.0710148 | − | 1.07126i | ||||
\(731\) | 8.53876 | + | 9.85426i | 0.315818 | + | 0.364473i | ||||
\(732\) | 3.87595 | − | 13.2003i | 0.143259 | − | 0.487896i | ||||
\(733\) | 4.85548 | − | 2.21742i | 0.179341 | − | 0.0819023i | −0.323721 | − | 0.946153i | \(-0.604934\pi\) |
0.503062 | + | 0.864250i | \(0.332207\pi\) | |||||||
\(734\) | −3.54701 | + | 24.6700i | −0.130922 | + | 0.910585i | ||||
\(735\) | −13.6676 | − | 5.01688i | −0.504139 | − | 0.185050i | ||||
\(736\) | −2.90109 | + | 3.81886i | −0.106935 | + | 0.140765i | ||||
\(737\) | − | 18.2380i | − | 0.671804i | ||||||
\(738\) | 1.98801 | + | 0.285832i | 0.0731796 | + | 0.0105216i | ||||
\(739\) | −12.1432 | − | 26.5898i | −0.446693 | − | 0.978122i | −0.990321 | − | 0.138795i | \(-0.955677\pi\) |
0.543628 | − | 0.839326i | \(-0.317050\pi\) | |||||||
\(740\) | 10.3396 | + | 7.65643i | 0.380089 | + | 0.281456i | ||||
\(741\) | −9.08791 | − | 10.4880i | −0.333853 | − | 0.385286i | ||||
\(742\) | 0.384050 | + | 1.30795i | 0.0140989 | + | 0.0480165i | ||||
\(743\) | 14.5834 | − | 22.6923i | 0.535015 | − | 0.832499i | −0.463549 | − | 0.886071i | \(-0.653424\pi\) |
0.998564 | + | 0.0535721i | \(0.0170607\pi\) | |||||||
\(744\) | −2.66056 | + | 5.82581i | −0.0975409 | + | 0.213585i | ||||
\(745\) | −24.8259 | − | 44.9079i | −0.909552 | − | 1.64530i | ||||
\(746\) | 9.50901 | − | 6.11107i | 0.348150 | − | 0.223742i | ||||
\(747\) | −16.0630 | + | 2.30951i | −0.587714 | + | 0.0845006i | ||||
\(748\) | −14.0915 | + | 2.02605i | −0.515236 | + | 0.0740798i | ||||
\(749\) | −10.3680 | + | 6.66313i | −0.378840 | + | 0.243466i | ||||
\(750\) | 2.20565 | − | 10.9606i | 0.0805391 | − | 0.400225i | ||||
\(751\) | −0.511459 | + | 1.11994i | −0.0186634 | + | 0.0408672i | −0.918734 | − | 0.394877i | \(-0.870787\pi\) |
0.900071 | + | 0.435744i | \(0.143515\pi\) | |||||||
\(752\) | 2.95867 | − | 4.60378i | 0.107892 | − | 0.167883i | ||||
\(753\) | 0.470313 | + | 1.60174i | 0.0171392 | + | 0.0583706i | ||||
\(754\) | −20.0252 | − | 23.1103i | −0.729273 | − | 0.841626i | ||||
\(755\) | 14.0184 | − | 18.9310i | 0.510181 | − | 0.688970i | ||||
\(756\) | 0.290457 | + | 0.636012i | 0.0105638 | + | 0.0231315i | ||||
\(757\) | −4.19318 | − | 0.602888i | −0.152404 | − | 0.0219123i | 0.0656907 | − | 0.997840i | \(-0.479075\pi\) |
−0.218094 | + | 0.975928i | \(0.569984\pi\) | |||||||
\(758\) | − | 23.2356i | − | 0.843954i | ||||||
\(759\) | −20.2228 | + | 14.9168i | −0.734040 | + | 0.541446i | ||||
\(760\) | −8.16890 | − | 2.99850i | −0.296317 | − | 0.108767i | ||||
\(761\) | 5.56522 | − | 38.7069i | 0.201739 | − | 1.40313i | −0.597383 | − | 0.801956i | \(-0.703793\pi\) |
0.799122 | − | 0.601169i | \(-0.205298\pi\) | |||||||
\(762\) | −9.31159 | + | 4.25246i | −0.337323 | + | 0.154050i | ||||
\(763\) | −3.81248 | + | 12.9841i | −0.138021 | + | 0.470056i | ||||
\(764\) | 8.77164 | + | 10.1230i | 0.317347 | + | 0.366238i | ||||
\(765\) | 6.06206 | + | 0.401860i | 0.219174 | + | 0.0145293i | ||||
\(766\) | −30.3928 | − | 19.5322i | −1.09813 | − | 0.705728i | ||||
\(767\) | −35.3971 | − | 16.1653i | −1.27811 | − | 0.583695i | ||||
\(768\) | 0.755750 | + | 0.654861i | 0.0272708 | + | 0.0236303i | ||||
\(769\) | −11.2721 | + | 7.24413i | −0.406482 | + | 0.261230i | −0.727867 | − | 0.685719i | \(-0.759488\pi\) |
0.321385 | + | 0.946949i | \(0.395852\pi\) | |||||||
\(770\) | 8.01388 | + | 1.69967i | 0.288800 | + | 0.0612519i | ||||
\(771\) | 1.23837 | + | 8.61303i | 0.0445987 | + | 0.310191i | ||||
\(772\) | 10.4908 | + | 16.3240i | 0.377571 | + | 0.587512i | ||||
\(773\) | 36.8187 | + | 31.9036i | 1.32428 | + | 1.14749i | 0.977824 | + | 0.209426i | \(0.0671596\pi\) |
0.346454 | + | 0.938067i | \(0.387386\pi\) | |||||||
\(774\) | 1.99361 | − | 4.36540i | 0.0716590 | − | 0.156911i | ||||
\(775\) | −9.34130 | − | 30.6302i | −0.335550 | − | 1.10027i | ||||
\(776\) | 7.00633 | − | 2.05724i | 0.251513 | − | 0.0738508i | ||||
\(777\) | 3.04038 | − | 2.63450i | 0.109073 | − | 0.0945122i | ||||
\(778\) | −0.651891 | + | 2.22014i | −0.0233714 | + | 0.0795957i | ||||
\(779\) | 3.24690 | + | 7.10973i | 0.116332 | + | 0.254732i | ||||
\(780\) | −7.01837 | − | 3.78503i | −0.251298 | − | 0.135526i | ||||
\(781\) | 1.76703 | 0.0632292 | ||||||||
\(782\) | 12.7517 | − | 2.67975i | 0.455999 | − | 0.0958276i | ||||
\(783\) | − | 8.57508i | − | 0.306448i | ||||||
\(784\) | −0.926630 | + | 6.44485i | −0.0330939 | + | 0.230173i | ||||
\(785\) | −1.82062 | − | 23.7197i | −0.0649808 | − | 0.846592i | ||||
\(786\) | 10.3596 | + | 3.04185i | 0.369514 | + | 0.108499i | ||||
\(787\) | −8.79069 | + | 7.61718i | −0.313354 | + | 0.271523i | −0.797311 | − | 0.603569i | \(-0.793745\pi\) |
0.483956 | + | 0.875092i | \(0.339199\pi\) | |||||||
\(788\) | 5.14508 | + | 17.5225i | 0.183286 | + | 0.624214i | ||||
\(789\) | −15.4069 | − | 9.90143i | −0.548501 | − | 0.352500i | ||||
\(790\) | −7.44607 | + | 7.52400i | −0.264919 | + | 0.267692i | ||||
\(791\) | 3.82346 | − | 4.41251i | 0.135947 | − | 0.156891i | ||||
\(792\) | 2.83284 | + | 4.40798i | 0.100661 | + | 0.156631i | ||||
\(793\) | 48.5609 | − | 6.98200i | 1.72445 | − | 0.247938i | ||||
\(794\) | 4.70848 | + | 32.7482i | 0.167098 | + | 1.16219i | ||||
\(795\) | −0.948840 | − | 4.25498i | −0.0336519 | − | 0.150909i | ||||
\(796\) | 8.00512 | − | 9.23841i | 0.283734 | − | 0.327447i | ||||
\(797\) | 45.4841 | + | 20.7719i | 1.61113 | + | 0.735778i | 0.998508 | − | 0.0545996i | \(-0.0173882\pi\) |
0.612620 | + | 0.790377i | \(0.290116\pi\) | |||||||
\(798\) | −1.47107 | + | 2.28903i | −0.0520754 | + | 0.0810310i | ||||
\(799\) | −14.2665 | + | 4.18902i | −0.504712 | + | 0.148197i | ||||
\(800\) | −4.99973 | + | 0.0520564i | −0.176767 | + | 0.00184047i | ||||
\(801\) | 8.68031 | + | 2.54877i | 0.306704 | + | 0.0900563i | ||||
\(802\) | 5.85885 | − | 2.67565i | 0.206883 | − | 0.0944804i | ||||
\(803\) | −67.2811 | − | 9.67356i | −2.37430 | − | 0.341372i | ||||
\(804\) | 3.48068 | 0.122754 | ||||||||
\(805\) | −7.41974 | − | 1.08088i | −0.261511 | − | 0.0380960i | ||||
\(806\) | −22.8391 | −0.804474 | ||||||||
\(807\) | 13.1568 | + | 1.89166i | 0.463141 | + | 0.0665897i | ||||
\(808\) | 10.4081 | − | 4.75321i | 0.366155 | − | 0.167217i | ||||
\(809\) | −31.2777 | − | 9.18396i | −1.09967 | − | 0.322891i | −0.318946 | − | 0.947773i | \(-0.603329\pi\) |
−0.780719 | + | 0.624882i | \(0.785147\pi\) | |||||||
\(810\) | −0.792321 | − | 2.09099i | −0.0278393 | − | 0.0734698i | ||||
\(811\) | −25.5222 | + | 7.49401i | −0.896207 | + | 0.263150i | −0.697224 | − | 0.716853i | \(-0.745582\pi\) |
−0.198983 | + | 0.980003i | \(0.563764\pi\) | |||||||
\(812\) | −3.24150 | + | 5.04388i | −0.113754 | + | 0.177005i | ||||
\(813\) | −1.70879 | − | 0.780377i | −0.0599298 | − | 0.0273690i | ||||
\(814\) | 19.7429 | − | 22.7846i | 0.691989 | − | 0.798598i | ||||
\(815\) | 1.43784 | − | 0.320630i | 0.0503652 | − | 0.0112312i | ||||
\(816\) | −0.386667 | − | 2.68933i | −0.0135361 | − | 0.0941454i | ||||
\(817\) | 18.4859 | − | 2.65788i | 0.646741 | − | 0.0929874i | ||||
\(818\) | 10.8554 | + | 16.8913i | 0.379550 | + | 0.590592i | ||||
\(819\) | −1.63282 | + | 1.88437i | −0.0570552 | + | 0.0658452i | ||||
\(820\) | 3.19213 | + | 3.15907i | 0.111474 | + | 0.110319i | ||||
\(821\) | −25.0451 | − | 16.0955i | −0.874078 | − | 0.561736i | 0.0249193 | − | 0.999689i | \(-0.492067\pi\) |
−0.898998 | + | 0.437953i | \(0.855703\pi\) | |||||||
\(822\) | 1.43213 | + | 4.87739i | 0.0499513 | + | 0.170118i | ||||
\(823\) | −5.44243 | + | 4.71589i | −0.189711 | + | 0.164386i | −0.744538 | − | 0.667580i | \(-0.767330\pi\) |
0.554827 | + | 0.831966i | \(0.312785\pi\) | |||||||
\(824\) | −0.642357 | − | 0.188613i | −0.0223776 | − | 0.00657065i | ||||
\(825\) | −25.2131 | − | 7.11897i | −0.877809 | − | 0.247851i | ||||
\(826\) | −1.08583 | + | 7.55212i | −0.0377809 | + | 0.262772i | ||||
\(827\) | 22.9928i | 0.799538i | 0.916616 | + | 0.399769i | \(0.130910\pi\) | ||||
−0.916616 | + | 0.399769i | \(0.869090\pi\) | |||||||
\(828\) | −2.84684 | − | 3.85947i | −0.0989345 | − | 0.134126i | ||||
\(829\) | 18.4944 | 0.642336 | 0.321168 | − | 0.947022i | \(-0.395925\pi\) | ||||
0.321168 | + | 0.947022i | \(0.395925\pi\) | |||||||
\(830\) | −31.9387 | − | 17.2246i | −1.10861 | − | 0.597875i | ||||
\(831\) | 6.32163 | + | 13.8424i | 0.219295 | + | 0.480189i | ||||
\(832\) | −1.00468 | + | 3.42161i | −0.0348309 | + | 0.118623i | ||||
\(833\) | 13.3697 | − | 11.5849i | 0.463232 | − | 0.401393i | ||||
\(834\) | 6.97609 | − | 2.04836i | 0.241562 | − | 0.0709290i | ||||
\(835\) | 12.4826 | + | 16.4951i | 0.431978 | + | 0.570837i | ||||
\(836\) | −8.47074 | + | 18.5483i | −0.292967 | + | 0.641507i | ||||
\(837\) | −4.84026 | − | 4.19411i | −0.167304 | − | 0.144970i | ||||
\(838\) | 2.57002 | + | 3.99903i | 0.0887799 | + | 0.138144i | ||||
\(839\) | 7.80746 | + | 54.3021i | 0.269544 | + | 1.87472i | 0.452744 | + | 0.891641i | \(0.350445\pi\) |
−0.183200 | + | 0.983076i | \(0.558646\pi\) | |||||||
\(840\) | −0.324378 | + | 1.52943i | −0.0111921 | + | 0.0527704i | ||||
\(841\) | 37.4627 | − | 24.0758i | 1.29182 | − | 0.830200i | ||||
\(842\) | −6.31691 | − | 5.47364i | −0.217695 | − | 0.188634i | ||||
\(843\) | 15.9022 | + | 7.26229i | 0.547700 | + | 0.250126i | ||||
\(844\) | 15.7086 | + | 10.0953i | 0.540714 | + | 0.347496i | ||||
\(845\) | −0.0418876 | + | 0.631875i | −0.00144098 | + | 0.0217372i | ||||
\(846\) | 3.58374 | + | 4.13586i | 0.123212 | + | 0.142194i | ||||
\(847\) | 3.24147 | − | 11.0394i | 0.111378 | − | 0.379320i | ||||
\(848\) | −1.77344 | + | 0.809903i | −0.0609002 | + | 0.0278122i | ||||
\(849\) | 2.75048 | − | 19.1300i | 0.0943963 | − | 0.656541i | ||||
\(850\) | 10.3589 | + | 8.78886i | 0.355306 | + | 0.301456i | ||||
\(851\) | −16.6921 | + | 21.9727i | −0.572197 | + | 0.753215i | ||||
\(852\) | 0.337233i | 0.0115534i | ||||||||
\(853\) | 44.3081 | + | 6.37054i | 1.51708 | + | 0.218123i | 0.849968 | − | 0.526835i | \(-0.176621\pi\) |
0.667112 | + | 0.744958i | \(0.267530\pi\) | |||||||
\(854\) | −3.99597 | − | 8.74996i | −0.136739 | − | 0.299418i | ||||
\(855\) | 5.17848 | − | 6.99323i | 0.177100 | − | 0.239163i | ||||
\(856\) | −11.5430 | − | 13.3213i | −0.394532 | − | 0.455314i | ||||
\(857\) | −8.53776 | − | 29.0769i | −0.291644 | − | 0.993250i | −0.966791 | − | 0.255566i | \(-0.917738\pi\) |
0.675147 | − | 0.737683i | \(-0.264080\pi\) | |||||||
\(858\) | −10.1021 | + | 15.7191i | −0.344879 | + | 0.536643i | ||||
\(859\) | 12.8822 | − | 28.2081i | 0.439535 | − | 0.962447i | −0.552148 | − | 0.833746i | \(-0.686192\pi\) |
0.991683 | − | 0.128702i | \(-0.0410809\pi\) | |||||||
\(860\) | 9.39155 | − | 5.19182i | 0.320249 | − | 0.177040i | ||||
\(861\) | 1.18137 | − | 0.759224i | 0.0402611 | − | 0.0258743i | ||||
\(862\) | −12.9195 | + | 1.85754i | −0.440039 | + | 0.0632681i | ||||
\(863\) | 42.9696 | − | 6.17810i | 1.46270 | − | 0.210305i | 0.635454 | − | 0.772139i | \(-0.280813\pi\) |
0.827250 | + | 0.561834i | \(0.189904\pi\) | |||||||
\(864\) | −0.841254 | + | 0.540641i | −0.0286200 | + | 0.0183930i | ||||
\(865\) | −4.78386 | + | 2.64460i | −0.162656 | + | 0.0899192i | ||||
\(866\) | −0.347424 | + | 0.760752i | −0.0118059 | + | 0.0258514i | ||||
\(867\) | 5.19988 | − | 8.09117i | 0.176597 | − | 0.274790i | ||||
\(868\) | 1.26162 | + | 4.29667i | 0.0428221 | + | 0.145839i | ||||
\(869\) | 16.2440 | + | 18.7465i | 0.551038 | + | 0.635932i | ||||
\(870\) | 11.4108 | − | 15.4096i | 0.386861 | − | 0.522433i | ||||
\(871\) | 5.15626 | + | 11.2906i | 0.174713 | + | 0.382568i | ||||
\(872\) | −19.1570 | − | 2.75436i | −0.648738 | − | 0.0932744i | ||||
\(873\) | 7.30212i | 0.247139i | ||||||||
\(874\) | 6.64555 | − | 17.4401i | 0.224789 | − | 0.589921i | ||||
\(875\) | −3.85310 | − | 6.80170i | −0.130259 | − | 0.229939i | ||||
\(876\) | 1.84618 | − | 12.8404i | 0.0623765 | − | 0.433838i | ||||
\(877\) | −17.7560 | + | 8.10889i | −0.599577 | + | 0.273818i | −0.691995 | − | 0.721903i | \(-0.743268\pi\) |
0.0924175 | + | 0.995720i | \(0.470541\pi\) | |||||||
\(878\) | 4.60359 | − | 15.6784i | 0.155363 | − | 0.529119i | ||||
\(879\) | −19.0263 | − | 21.9575i | −0.641740 | − | 0.740607i | ||||
\(880\) | −0.774997 | + | 11.6908i | −0.0261251 | + | 0.394098i | ||||
\(881\) | 18.6660 | + | 11.9959i | 0.628874 | + | 0.404153i | 0.815893 | − | 0.578203i | \(-0.196246\pi\) |
−0.187018 | + | 0.982356i | \(0.559882\pi\) | |||||||
\(882\) | −5.92273 | − | 2.70482i | −0.199429 | − | 0.0910760i | ||||
\(883\) | 8.90304 | + | 7.71453i | 0.299611 | + | 0.259614i | 0.791672 | − | 0.610946i | \(-0.209211\pi\) |
−0.492061 | + | 0.870561i | \(0.663756\pi\) | |||||||
\(884\) | 8.15085 | − | 5.23824i | 0.274143 | − | 0.176181i | ||||
\(885\) | 5.06250 | − | 23.8695i | 0.170174 | − | 0.802364i | ||||
\(886\) | −0.642894 | − | 4.47143i | −0.0215985 | − | 0.150221i | ||||
\(887\) | −0.647473 | − | 1.00749i | −0.0217400 | − | 0.0338281i | 0.830213 | − | 0.557446i | \(-0.188218\pi\) |
−0.851953 | + | 0.523617i | \(0.824582\pi\) | |||||||
\(888\) | 4.34838 | + | 3.76789i | 0.145922 | + | 0.126442i | ||||
\(889\) | −2.97331 | + | 6.51063i | −0.0997215 | + | 0.218360i | ||||
\(890\) | 12.2070 | + | 16.1310i | 0.409181 | + | 0.540711i | ||||
\(891\) | −5.02753 | + | 1.47622i | −0.168429 | + | 0.0494551i | ||||
\(892\) | −5.86858 | + | 5.08515i | −0.196494 | + | 0.170263i | ||||
\(893\) | −6.00000 | + | 20.4341i | −0.200782 | + | 0.683801i | ||||
\(894\) | −9.53294 | − | 20.8742i | −0.318829 | − | 0.698138i | ||||
\(895\) | −25.8937 | − | 13.9645i | −0.865531 | − | 0.466783i | ||||
\(896\) | 0.699197 | 0.0233585 | ||||||||
\(897\) | 8.30207 | − | 14.9520i | 0.277198 | − | 0.499232i | ||||
\(898\) | − | 11.9374i | − | 0.398358i | ||||||
\(899\) | 7.81590 | − | 54.3608i | 0.260675 | − | 1.81303i | ||||
\(900\) | 1.35864 | − | 4.81187i | 0.0452880 | − | 0.160396i | ||||
\(901\) | 5.08253 | + | 1.49237i | 0.169324 | + | 0.0497179i | ||||
\(902\) | 7.95339 | − | 6.89165i | 0.264819 | − | 0.229467i | ||||
\(903\) | −0.945356 | − | 3.21959i | −0.0314595 | − | 0.107141i | ||||
\(904\) | 7.02482 | + | 4.51458i | 0.233642 | + | 0.150153i | ||||
\(905\) | −14.1695 | − | 14.0227i | −0.471009 | − | 0.466131i | ||||
\(906\) | 6.89875 | − | 7.96158i | 0.229196 | − | 0.264506i | ||||
\(907\) | −7.92354 | − | 12.3293i | −0.263097 | − | 0.409387i | 0.684422 | − | 0.729086i | \(-0.260055\pi\) |
−0.947519 | + | 0.319699i | \(0.896418\pi\) | |||||||
\(908\) | 0.0751254 | − | 0.0108014i | 0.00249312 | − | 0.000358457i | ||||
\(909\) | 1.62838 | + | 11.3256i | 0.0540098 | + | 0.375647i | ||||
\(910\) | −5.44171 | + | 1.21347i | −0.180391 | + | 0.0402263i | ||||
\(911\) | −14.9183 | + | 17.2167i | −0.494267 | + | 0.570414i | −0.947001 | − | 0.321231i | \(-0.895903\pi\) |
0.452734 | + | 0.891646i | \(0.350449\pi\) | |||||||
\(912\) | −3.53991 | − | 1.61662i | −0.117218 | − | 0.0535317i | ||||
\(913\) | −45.9718 | + | 71.5335i | −1.52144 | + | 2.36741i | ||||
\(914\) | 11.7211 | − | 3.44162i | 0.387699 | − | 0.113839i | ||||
\(915\) | 10.9004 | + | 28.7668i | 0.360356 | + | 0.951003i | ||||
\(916\) | −14.0708 | − | 4.13157i | −0.464913 | − | 0.136511i | ||||
\(917\) | 6.86698 | − | 3.13604i | 0.226768 | − | 0.103561i | ||||
\(918\) | 2.68933 | + | 0.386667i | 0.0887611 | + | 0.0127619i | ||||
\(919\) | 39.6564 | 1.30814 | 0.654072 | − | 0.756433i | \(-0.273060\pi\) | ||||
0.654072 | + | 0.756433i | \(0.273060\pi\) | |||||||
\(920\) | 0.0199359 | − | 10.7238i | 0.000657266 | − | 0.353553i | ||||
\(921\) | −17.1186 | −0.564077 | ||||||||
\(922\) | 26.7228 | + | 3.84216i | 0.880068 | + | 0.126535i | ||||
\(923\) | −1.09392 | + | 0.499575i | −0.0360067 | + | 0.0164437i | ||||
\(924\) | 3.51523 | + | 1.03217i | 0.115643 | + | 0.0339558i | ||||
\(925\) | −28.7671 | + | 0.299519i | −0.945857 | + | 0.00984811i | ||||
\(926\) | −11.0672 | + | 3.24961i | −0.363690 | + | 0.106789i | ||||
\(927\) | 0.361946 | − | 0.563199i | 0.0118879 | − | 0.0184979i | ||||
\(928\) | −7.80017 | − | 3.56222i | −0.256053 | − | 0.116935i | ||||
\(929\) | −32.4419 | + | 37.4399i | −1.06438 | + | 1.22836i | −0.0918071 | + | 0.995777i | \(0.529264\pi\) |
−0.972576 | + | 0.232586i | \(0.925281\pi\) | |||||||
\(930\) | −3.11697 | − | 13.9778i | −0.102210 | − | 0.458349i | ||||
\(931\) | −3.60605 | − | 25.0806i | −0.118184 | − | 0.821985i | ||||
\(932\) | −17.0334 | + | 2.44904i | −0.557949 | + | 0.0802209i | ||||
\(933\) | −11.1615 | − | 17.3677i | −0.365413 | − | 0.568593i | ||||
\(934\) | 11.4868 | − | 13.2565i | 0.375860 | − | 0.433765i | ||||
\(935\) | 22.3922 | − | 22.6266i | 0.732305 | − | 0.739969i | ||||
\(936\) | −2.99996 | − | 1.92796i | −0.0980568 | − | 0.0630173i | ||||
\(937\) | 9.94120 | + | 33.8566i | 0.324765 | + | 1.10605i | 0.946469 | + | 0.322795i | \(0.104623\pi\) |
−0.621704 | + | 0.783252i | \(0.713559\pi\) | |||||||
\(938\) | 1.83925 | − | 1.59372i | 0.0600537 | − | 0.0520368i | ||||
\(939\) | 12.8265 | + | 3.76620i | 0.418577 | + | 0.122905i | ||||
\(940\) | 0.936501 | + | 12.2011i | 0.0305453 | + | 0.397955i | ||||
\(941\) | 3.56718 | − | 24.8102i | 0.116287 | − | 0.808791i | −0.845301 | − | 0.534291i | \(-0.820579\pi\) |
0.961587 | − | 0.274500i | \(-0.0885123\pi\) | |||||||
\(942\) | − | 10.6390i | − | 0.346636i | ||||||
\(943\) | −6.85894 | + | 6.76270i | −0.223358 | + | 0.220224i | ||||
\(944\) | −10.9122 | −0.355162 | ||||||||
\(945\) | −1.37609 | − | 0.742129i | −0.0447642 | − | 0.0241415i | ||||
\(946\) | −10.4461 | − | 22.8738i | −0.339632 | − | 0.743690i | ||||
\(947\) | 1.94658 | − | 6.62943i | 0.0632552 | − | 0.215427i | −0.921800 | − | 0.387665i | \(-0.873282\pi\) |
0.985055 | + | 0.172238i | \(0.0550998\pi\) | |||||||
\(948\) | −3.57773 | + | 3.10012i | −0.116199 | + | 0.100687i | ||||
\(949\) | 44.3868 | − | 13.0331i | 1.44086 | − | 0.423074i | ||||
\(950\) | 18.6116 | − | 5.67600i | 0.603841 | − | 0.184154i | ||||
\(951\) | 1.26371 | − | 2.76714i | 0.0409787 | − | 0.0897308i | ||||
\(952\) | −1.43570 | − | 1.24404i | −0.0465314 | − | 0.0403197i | ||||
\(953\) | 3.57940 | + | 5.56966i | 0.115948 | + | 0.180419i | 0.894377 | − | 0.447314i | \(-0.147619\pi\) |
−0.778429 | + | 0.627733i | \(0.783983\pi\) | |||||||
\(954\) | −0.277461 | − | 1.92978i | −0.00898312 | − | 0.0624789i | ||||
\(955\) | −29.2997 | − | 6.21419i | −0.948115 | − | 0.201086i | ||||
\(956\) | 3.42829 | − | 2.20323i | 0.110879 | − | 0.0712576i | ||||
\(957\) | −33.9570 | − | 29.4239i | −1.09767 | − | 0.951139i | ||||
\(958\) | 5.99107 | + | 2.73603i | 0.193563 | + | 0.0883972i | ||||
\(959\) | 2.99000 | + | 1.92156i | 0.0965522 | + | 0.0620504i | ||||
\(960\) | −2.23117 | − | 0.147906i | −0.0720107 | − | 0.00477366i | ||||
\(961\) | −6.56085 | − | 7.57163i | −0.211640 | − | 0.244246i | ||||
\(962\) | −5.78064 | + | 19.6870i | −0.186375 | + | 0.634736i | ||||
\(963\) | 16.0338 | − | 7.32238i | 0.516681 | − | 0.235960i | ||||
\(964\) | 3.41098 | − | 23.7239i | 0.109860 | − | 0.764094i | ||||
\(965\) | −40.7321 | − | 14.9512i | −1.31121 | − | 0.481296i | ||||
\(966\) | −3.27148 | − | 0.735911i | −0.105258 | − | 0.0236775i | ||||
\(967\) | 60.2686i | 1.93811i | 0.246850 | + | 0.969054i | \(0.420605\pi\) | ||||
−0.246850 | + | 0.969054i | \(0.579395\pi\) | |||||||
\(968\) | 16.2878 | + | 2.34183i | 0.523510 | + | 0.0752693i | ||||
\(969\) | 4.39234 | + | 9.61787i | 0.141102 | + | 0.308971i | ||||
\(970\) | −9.71685 | + | 13.1220i | −0.311989 | + | 0.421323i | ||||
\(971\) | −4.91137 | − | 5.66802i | −0.157613 | − | 0.181895i | 0.671451 | − | 0.741049i | \(-0.265672\pi\) |
−0.829064 | + | 0.559154i | \(0.811126\pi\) | |||||||
\(972\) | −0.281733 | − | 0.959493i | −0.00903658 | − | 0.0307758i | ||||
\(973\) | 2.74839 | − | 4.27658i | 0.0881093 | − | 0.137101i | ||||
\(974\) | −16.0495 | + | 35.1434i | −0.514258 | + | 1.12607i | ||||
\(975\) | 17.6214 | − | 2.72113i | 0.564338 | − | 0.0871458i | ||||
\(976\) | 11.5736 | − | 7.43789i | 0.370461 | − | 0.238081i | ||||
\(977\) | −48.2484 | + | 6.93707i | −1.54360 | + | 0.221936i | −0.860905 | − | 0.508766i | \(-0.830102\pi\) |
−0.682697 | + | 0.730702i | \(0.739193\pi\) | |||||||
\(978\) | 0.652108 | − | 0.0937589i | 0.0208521 | − | 0.00299808i | ||||
\(979\) | 39.8780 | − | 25.6280i | 1.27451 | − | 0.819075i | ||||
\(980\) | −7.04396 | − | 12.7419i | −0.225011 | − | 0.407025i | ||||
\(981\) | 8.03994 | − | 17.6050i | 0.256695 | − | 0.562085i | ||||
\(982\) | −15.8427 | + | 24.6517i | −0.505560 | + | 0.786667i | ||||
\(983\) | 10.0778 | + | 34.3217i | 0.321431 | + | 1.09469i | 0.948775 | + | 0.315951i | \(0.102324\pi\) |
−0.627345 | + | 0.778742i | \(0.715858\pi\) | |||||||
\(984\) | 1.31526 | + | 1.51789i | 0.0419288 | + | 0.0483884i | ||||
\(985\) | −32.8176 | − | 24.3014i | −1.04566 | − | 0.774307i | ||||
\(986\) | 9.67849 | + | 21.1929i | 0.308226 | + | 0.674921i | ||||
\(987\) | 3.78743 | + | 0.544550i | 0.120555 | + | 0.0173332i | ||||
\(988\) | − | 13.8776i | − | 0.441506i | ||||||
\(989\) | 10.8872 | + | 20.2777i | 0.346194 | + | 0.644795i | ||||
\(990\) | −10.9989 | − | 4.03730i | −0.349569 | − | 0.128314i | ||||
\(991\) | −6.47209 | + | 45.0144i | −0.205593 | + | 1.42993i | 0.581727 | + | 0.813384i | \(0.302377\pi\) |
−0.787319 | + | 0.616545i | \(0.788532\pi\) | |||||||
\(992\) | −5.82581 | + | 2.66056i | −0.184970 | + | 0.0844729i | ||||
\(993\) | 3.97433 | − | 13.5353i | 0.126122 | − | 0.429531i | ||||
\(994\) | 0.154411 | + | 0.178200i | 0.00489762 | + | 0.00565216i | ||||
\(995\) | −1.80803 | + | 27.2742i | −0.0573185 | + | 0.864650i | ||||
\(996\) | −13.6520 | − | 8.77361i | −0.432580 | − | 0.278003i | ||||
\(997\) | 29.9179 | + | 13.6630i | 0.947508 | + | 0.432712i | 0.828380 | − | 0.560166i | \(-0.189263\pi\) |
0.119128 | + | 0.992879i | \(0.461990\pi\) | |||||||
\(998\) | 3.43778 | + | 2.97885i | 0.108821 | + | 0.0942938i | ||||
\(999\) | −4.84035 | + | 3.11070i | −0.153142 | + | 0.0984183i |
(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 | 690.2.r.b.169.1 | yes | 120 | |
5.4 | even | 2 | inner | 690.2.r.b.169.11 | yes | 120 | |
23.3 | even | 11 | inner | 690.2.r.b.49.11 | yes | 120 | |
115.49 | even | 22 | inner | 690.2.r.b.49.1 | ✓ | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.r.b.49.1 | ✓ | 120 | 115.49 | even | 22 | inner | |
690.2.r.b.49.11 | yes | 120 | 23.3 | even | 11 | inner | |
690.2.r.b.169.1 | yes | 120 | 1.1 | even | 1 | trivial | |
690.2.r.b.169.11 | yes | 120 | 5.4 | even | 2 | inner |