Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(7,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([0, 11, 38]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.w (of order \(44\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 37.6 | ||
Character | \(\chi\) | \(=\) | 690.37 |
Dual form | 690.2.w.a.373.6 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(e\left(\frac{21}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.877679 | − | 0.479249i | −0.620613 | − | 0.338880i | ||||
\(3\) | −0.997452 | − | 0.0713392i | −0.575879 | − | 0.0411877i | ||||
\(4\) | 0.540641 | + | 0.841254i | 0.270320 | + | 0.420627i | ||||
\(5\) | 2.22914 | − | 0.175901i | 0.996901 | − | 0.0786655i | ||||
\(6\) | 0.841254 | + | 0.540641i | 0.343440 | + | 0.220716i | ||||
\(7\) | −0.0297310 | − | 0.0797118i | −0.0112372 | − | 0.0301282i | 0.931210 | − | 0.364483i | \(-0.118754\pi\) |
−0.942447 | + | 0.334355i | \(0.891482\pi\) | |||||||
\(8\) | −0.0713392 | − | 0.997452i | −0.0252222 | − | 0.352653i | ||||
\(9\) | 0.989821 | + | 0.142315i | 0.329940 | + | 0.0474383i | ||||
\(10\) | −2.04077 | − | 0.913927i | −0.645348 | − | 0.289009i | ||||
\(11\) | 0.788752 | − | 2.68624i | 0.237818 | − | 0.809932i | −0.750936 | − | 0.660376i | \(-0.770397\pi\) |
0.988753 | − | 0.149557i | \(-0.0477847\pi\) | |||||||
\(12\) | −0.479249 | − | 0.877679i | −0.138347 | − | 0.253364i | ||||
\(13\) | −5.71318 | − | 2.13090i | −1.58455 | − | 0.591007i | −0.605719 | − | 0.795678i | \(-0.707115\pi\) |
−0.978831 | + | 0.204672i | \(0.934387\pi\) | |||||||
\(14\) | −0.0121076 | + | 0.0842099i | −0.00323588 | + | 0.0225060i | ||||
\(15\) | −2.23601 | + | 0.0164283i | −0.577335 | + | 0.00424177i | ||||
\(16\) | −0.415415 | + | 0.909632i | −0.103854 | + | 0.227408i | ||||
\(17\) | 0.0657116 | − | 0.0142947i | 0.0159374 | − | 0.00346697i | −0.204590 | − | 0.978848i | \(-0.565586\pi\) |
0.220527 | + | 0.975381i | \(0.429222\pi\) | |||||||
\(18\) | −0.800541 | − | 0.599278i | −0.188689 | − | 0.141251i | ||||
\(19\) | 5.60698 | − | 3.60339i | 1.28633 | − | 0.826674i | 0.294676 | − | 0.955597i | \(-0.404788\pi\) |
0.991655 | + | 0.128923i | \(0.0411521\pi\) | |||||||
\(20\) | 1.35314 | + | 1.78017i | 0.302572 | + | 0.398058i | ||||
\(21\) | 0.0239686 | + | 0.0816297i | 0.00523038 | + | 0.0178131i | ||||
\(22\) | −1.97965 | + | 1.97965i | −0.422063 | + | 0.422063i | ||||
\(23\) | 3.88377 | + | 2.81360i | 0.809822 | + | 0.586676i | ||||
\(24\) | 1.00000i | 0.204124i | ||||||||
\(25\) | 4.93812 | − | 0.784217i | 0.987623 | − | 0.156843i | ||||
\(26\) | 3.99310 | + | 4.60828i | 0.783111 | + | 0.903759i | ||||
\(27\) | −0.977147 | − | 0.212565i | −0.188052 | − | 0.0409082i | ||||
\(28\) | 0.0509840 | − | 0.0681067i | 0.00963508 | − | 0.0128710i | ||||
\(29\) | −3.84568 | + | 5.98399i | −0.714125 | + | 1.11120i | 0.274615 | + | 0.961554i | \(0.411450\pi\) |
−0.988740 | + | 0.149645i | \(0.952187\pi\) | |||||||
\(30\) | 1.97037 | + | 1.05719i | 0.359739 | + | 0.193015i | ||||
\(31\) | 0.972701 | − | 1.12256i | 0.174702 | − | 0.201617i | −0.661645 | − | 0.749817i | \(-0.730141\pi\) |
0.836347 | + | 0.548200i | \(0.184687\pi\) | |||||||
\(32\) | 0.800541 | − | 0.599278i | 0.141517 | − | 0.105938i | ||||
\(33\) | −0.978376 | + | 2.62313i | −0.170313 | + | 0.456628i | ||||
\(34\) | −0.0645244 | − | 0.0189461i | −0.0110659 | − | 0.00324923i | ||||
\(35\) | −0.0802958 | − | 0.172459i | −0.0135725 | − | 0.0291509i | ||||
\(36\) | 0.415415 | + | 0.909632i | 0.0692358 | + | 0.151605i | ||||
\(37\) | −3.64531 | − | 4.86956i | −0.599285 | − | 0.800551i | 0.393644 | − | 0.919263i | \(-0.371214\pi\) |
−0.992929 | + | 0.118712i | \(0.962123\pi\) | |||||||
\(38\) | −6.64805 | + | 0.475478i | −1.07846 | + | 0.0771327i | ||||
\(39\) | 5.54660 | + | 2.53305i | 0.888167 | + | 0.405612i | ||||
\(40\) | −0.334478 | − | 2.21091i | −0.0528856 | − | 0.349576i | ||||
\(41\) | −1.78243 | − | 12.3971i | −0.278369 | − | 1.93610i | −0.345645 | − | 0.938366i | \(-0.612340\pi\) |
0.0672754 | − | 0.997734i | \(-0.478569\pi\) | |||||||
\(42\) | 0.0180842 | − | 0.0831316i | 0.00279045 | − | 0.0128275i | ||||
\(43\) | 0.916111 | − | 12.8089i | 0.139706 | − | 1.95334i | −0.132698 | − | 0.991157i | \(-0.542364\pi\) |
0.272403 | − | 0.962183i | \(-0.412182\pi\) | |||||||
\(44\) | 2.68624 | − | 0.788752i | 0.404966 | − | 0.118909i | ||||
\(45\) | 2.23148 | + | 0.143129i | 0.332650 | + | 0.0213363i | ||||
\(46\) | −2.06029 | − | 4.33073i | −0.303773 | − | 0.638531i | ||||
\(47\) | 6.49723 | + | 6.49723i | 0.947718 | + | 0.947718i | 0.998700 | − | 0.0509817i | \(-0.0162350\pi\) |
−0.0509817 | + | 0.998700i | \(0.516235\pi\) | |||||||
\(48\) | 0.479249 | − | 0.877679i | 0.0691736 | − | 0.126682i | ||||
\(49\) | 5.28478 | − | 4.57929i | 0.754968 | − | 0.654184i | ||||
\(50\) | −4.70992 | − | 1.67830i | −0.666083 | − | 0.237347i | ||||
\(51\) | −0.0665640 | + | 0.00957046i | −0.00932082 | + | 0.00134013i | ||||
\(52\) | −1.29615 | − | 5.95828i | −0.179743 | − | 0.826265i | ||||
\(53\) | −5.21912 | + | 1.94663i | −0.716901 | + | 0.267390i | −0.681330 | − | 0.731977i | \(-0.738598\pi\) |
−0.0355718 | + | 0.999367i | \(0.511325\pi\) | |||||||
\(54\) | 0.755750 | + | 0.654861i | 0.102844 | + | 0.0891153i | ||||
\(55\) | 1.28572 | − | 6.12675i | 0.173367 | − | 0.826130i | ||||
\(56\) | −0.0773877 | + | 0.0353418i | −0.0103414 | + | 0.00472274i | ||||
\(57\) | −5.84976 | + | 3.19421i | −0.774820 | + | 0.423084i | ||||
\(58\) | 6.24309 | − | 3.40899i | 0.819758 | − | 0.447622i | ||||
\(59\) | 4.36443 | − | 1.99317i | 0.568200 | − | 0.259488i | −0.110534 | − | 0.993872i | \(-0.535256\pi\) |
0.678734 | + | 0.734384i | \(0.262529\pi\) | |||||||
\(60\) | −1.22270 | − | 1.87217i | −0.157850 | − | 0.241696i | ||||
\(61\) | −2.02274 | − | 1.75271i | −0.258985 | − | 0.224412i | 0.515684 | − | 0.856779i | \(-0.327538\pi\) |
−0.774669 | + | 0.632367i | \(0.782083\pi\) | |||||||
\(62\) | −1.39170 | + | 0.519078i | −0.176746 | + | 0.0659230i | ||||
\(63\) | −0.0180842 | − | 0.0831316i | −0.00227839 | − | 0.0104736i | ||||
\(64\) | −0.989821 | + | 0.142315i | −0.123728 | + | 0.0177894i | ||||
\(65\) | −13.1103 | − | 3.74513i | −1.62613 | − | 0.464526i | ||||
\(66\) | 2.11583 | − | 1.83338i | 0.260441 | − | 0.225673i | ||||
\(67\) | −5.20331 | + | 9.52914i | −0.635685 | + | 1.16417i | 0.339042 | + | 0.940771i | \(0.389897\pi\) |
−0.974727 | + | 0.223399i | \(0.928285\pi\) | |||||||
\(68\) | 0.0475519 | + | 0.0475519i | 0.00576651 | + | 0.00576651i | ||||
\(69\) | −3.67316 | − | 3.08349i | −0.442196 | − | 0.371209i | ||||
\(70\) | −0.0121768 | + | 0.189845i | −0.00145540 | + | 0.0226908i | ||||
\(71\) | 6.33528 | − | 1.86021i | 0.751860 | − | 0.220766i | 0.116722 | − | 0.993165i | \(-0.462761\pi\) |
0.635138 | + | 0.772399i | \(0.280943\pi\) | |||||||
\(72\) | 0.0713392 | − | 0.997452i | 0.00840740 | − | 0.117551i | ||||
\(73\) | 2.76849 | − | 12.7266i | 0.324027 | − | 1.48953i | −0.470553 | − | 0.882372i | \(-0.655946\pi\) |
0.794581 | − | 0.607159i | \(-0.207691\pi\) | |||||||
\(74\) | 0.865678 | + | 6.02092i | 0.100633 | + | 0.699918i | ||||
\(75\) | −4.98148 | + | 0.429938i | −0.575212 | + | 0.0496449i | ||||
\(76\) | 6.06273 | + | 2.76875i | 0.695443 | + | 0.317598i | ||||
\(77\) | −0.237575 | + | 0.0169917i | −0.0270742 | + | 0.00193639i | ||||
\(78\) | −3.65418 | − | 4.88141i | −0.413754 | − | 0.552711i | ||||
\(79\) | −1.37502 | − | 3.01087i | −0.154702 | − | 0.338750i | 0.816373 | − | 0.577525i | \(-0.195981\pi\) |
−0.971075 | + | 0.238775i | \(0.923254\pi\) | |||||||
\(80\) | −0.766012 | + | 2.10077i | −0.0856428 | + | 0.234873i | ||||
\(81\) | 0.959493 | + | 0.281733i | 0.106610 | + | 0.0313036i | ||||
\(82\) | −4.37689 | + | 11.7349i | −0.483347 | + | 1.29590i | ||||
\(83\) | 7.95205 | − | 5.95283i | 0.872851 | − | 0.653408i | −0.0659668 | − | 0.997822i | \(-0.521013\pi\) |
0.938818 | + | 0.344414i | \(0.111922\pi\) | |||||||
\(84\) | −0.0557128 | + | 0.0642960i | −0.00607877 | + | 0.00701527i | ||||
\(85\) | 0.143966 | − | 0.0434236i | 0.0156153 | − | 0.00470995i | ||||
\(86\) | −6.94271 | + | 10.8031i | −0.748651 | + | 1.16492i | ||||
\(87\) | 4.26277 | − | 5.69440i | 0.457017 | − | 0.610504i | ||||
\(88\) | −2.73567 | − | 0.595108i | −0.291623 | − | 0.0634387i | ||||
\(89\) | 7.67600 | + | 8.85857i | 0.813654 | + | 0.939007i | 0.999047 | − | 0.0436579i | \(-0.0139011\pi\) |
−0.185393 | + | 0.982665i | \(0.559356\pi\) | |||||||
\(90\) | −1.88993 | − | 1.19506i | −0.199216 | − | 0.125970i | ||||
\(91\) | 0.518761i | 0.0543810i | ||||||||
\(92\) | −0.267224 | + | 4.78838i | −0.0278600 | + | 0.499223i | ||||
\(93\) | −1.05030 | + | 1.05030i | −0.108912 | + | 0.108912i | ||||
\(94\) | −2.58869 | − | 8.81627i | −0.267003 | − | 0.909329i | ||||
\(95\) | 11.8649 | − | 9.01873i | 1.21731 | − | 0.925302i | ||||
\(96\) | −0.841254 | + | 0.540641i | −0.0858601 | + | 0.0551789i | ||||
\(97\) | −9.24984 | − | 6.92434i | −0.939179 | − | 0.703060i | 0.0157562 | − | 0.999876i | \(-0.494984\pi\) |
−0.954935 | + | 0.296816i | \(0.904075\pi\) | |||||||
\(98\) | −6.83296 | + | 1.48642i | −0.690233 | + | 0.150151i | ||||
\(99\) | 1.16302 | − | 2.54665i | 0.116887 | − | 0.255948i | ||||
\(100\) | 3.32947 | + | 3.73023i | 0.332947 | + | 0.373023i | ||||
\(101\) | −1.85489 | + | 12.9010i | −0.184568 | + | 1.28370i | 0.661224 | + | 0.750189i | \(0.270037\pi\) |
−0.845792 | + | 0.533512i | \(0.820872\pi\) | |||||||
\(102\) | 0.0630084 | + | 0.0235009i | 0.00623877 | + | 0.00232694i | ||||
\(103\) | 7.12542 | + | 13.0492i | 0.702089 | + | 1.28578i | 0.948550 | + | 0.316627i | \(0.102550\pi\) |
−0.246462 | + | 0.969153i | \(0.579268\pi\) | |||||||
\(104\) | −1.71790 | + | 5.85064i | −0.168454 | + | 0.573702i | ||||
\(105\) | 0.0677882 | + | 0.177748i | 0.00661545 | + | 0.0173464i | ||||
\(106\) | 5.51363 | + | 0.792741i | 0.535531 | + | 0.0769978i | ||||
\(107\) | −0.676471 | − | 9.45830i | −0.0653969 | − | 0.914368i | −0.919205 | − | 0.393780i | \(-0.871167\pi\) |
0.853808 | − | 0.520588i | \(-0.174287\pi\) | |||||||
\(108\) | −0.349464 | − | 0.936950i | −0.0336272 | − | 0.0901580i | ||||
\(109\) | −3.56298 | − | 2.28979i | −0.341272 | − | 0.219322i | 0.358767 | − | 0.933427i | \(-0.383197\pi\) |
−0.700038 | + | 0.714105i | \(0.746834\pi\) | |||||||
\(110\) | −4.06469 | + | 4.76114i | −0.387553 | + | 0.453957i | ||||
\(111\) | 3.28863 | + | 5.11721i | 0.312143 | + | 0.485704i | ||||
\(112\) | 0.0848591 | + | 0.00606924i | 0.00801843 | + | 0.000573489i | ||||
\(113\) | −10.1527 | − | 5.54379i | −0.955085 | − | 0.521516i | −0.0754419 | − | 0.997150i | \(-0.524037\pi\) |
−0.879643 | + | 0.475634i | \(0.842219\pi\) | |||||||
\(114\) | 6.66503 | 0.624238 | ||||||||
\(115\) | 9.15238 | + | 5.58874i | 0.853464 | + | 0.521152i | ||||
\(116\) | −7.11319 | −0.660443 | ||||||||
\(117\) | −5.35176 | − | 2.92228i | −0.494771 | − | 0.270165i | ||||
\(118\) | −4.78579 | − | 0.342286i | −0.440568 | − | 0.0315100i | ||||
\(119\) | −0.00309313 | − | 0.00481300i | −0.000283546 | − | 0.000441207i | ||||
\(120\) | 0.175901 | + | 2.22914i | 0.0160575 | + | 0.203492i | ||||
\(121\) | 2.66002 | + | 1.70949i | 0.241820 | + | 0.155408i | ||||
\(122\) | 0.935329 | + | 2.50771i | 0.0846807 | + | 0.227038i | ||||
\(123\) | 0.893493 | + | 12.4927i | 0.0805635 | + | 1.12643i | ||||
\(124\) | 1.47024 | + | 0.211388i | 0.132031 | + | 0.0189832i | ||||
\(125\) | 10.8698 | − | 2.61675i | 0.972225 | − | 0.234049i | ||||
\(126\) | −0.0239686 | + | 0.0816297i | −0.00213530 | + | 0.00727215i | ||||
\(127\) | −2.97942 | − | 5.45640i | −0.264381 | − | 0.484177i | 0.711441 | − | 0.702746i | \(-0.248043\pi\) |
−0.975822 | + | 0.218569i | \(0.929861\pi\) | |||||||
\(128\) | 0.936950 | + | 0.349464i | 0.0828154 | + | 0.0308886i | ||||
\(129\) | −1.82755 | + | 12.7109i | −0.160907 | + | 1.11913i | ||||
\(130\) | 9.71178 | + | 9.57011i | 0.851779 | + | 0.839354i | ||||
\(131\) | −7.20574 | + | 15.7784i | −0.629569 | + | 1.37856i | 0.278782 | + | 0.960354i | \(0.410069\pi\) |
−0.908351 | + | 0.418209i | \(0.862658\pi\) | |||||||
\(132\) | −2.73567 | + | 0.595108i | −0.238109 | + | 0.0517975i | ||||
\(133\) | −0.453934 | − | 0.339810i | −0.0393610 | − | 0.0294653i | ||||
\(134\) | 9.13366 | − | 5.86985i | 0.789028 | − | 0.507078i | ||||
\(135\) | −2.21559 | − | 0.301956i | −0.190687 | − | 0.0259882i | ||||
\(136\) | −0.0189461 | − | 0.0645244i | −0.00162461 | − | 0.00553293i | ||||
\(137\) | −7.29308 | + | 7.29308i | −0.623090 | + | 0.623090i | −0.946320 | − | 0.323230i | \(-0.895231\pi\) |
0.323230 | + | 0.946320i | \(0.395231\pi\) | |||||||
\(138\) | 1.74609 | + | 4.46667i | 0.148637 | + | 0.380228i | ||||
\(139\) | 5.16202i | 0.437836i | 0.975743 | + | 0.218918i | \(0.0702528\pi\) | ||||
−0.975743 | + | 0.218918i | \(0.929747\pi\) | |||||||
\(140\) | 0.101670 | − | 0.160787i | 0.00859272 | − | 0.0135890i | ||||
\(141\) | −6.01717 | − | 6.94418i | −0.506737 | − | 0.584805i | ||||
\(142\) | −6.45185 | − | 1.40351i | −0.541427 | − | 0.117780i | ||||
\(143\) | −10.2304 | + | 13.6662i | −0.855509 | + | 1.14283i | ||||
\(144\) | −0.540641 | + | 0.841254i | −0.0450534 | + | 0.0701045i | ||||
\(145\) | −7.51996 | + | 14.0156i | −0.624499 | + | 1.16393i | ||||
\(146\) | −8.52903 | + | 9.84303i | −0.705868 | + | 0.814615i | ||||
\(147\) | −5.59799 | + | 4.19061i | −0.461715 | + | 0.345635i | ||||
\(148\) | 2.12573 | − | 5.69931i | 0.174734 | − | 0.468480i | ||||
\(149\) | 13.9947 | + | 4.10920i | 1.14649 | + | 0.336639i | 0.799168 | − | 0.601108i | \(-0.205274\pi\) |
0.347319 | + | 0.937747i | \(0.387092\pi\) | |||||||
\(150\) | 4.57819 | + | 2.01002i | 0.373808 | + | 0.164118i | ||||
\(151\) | −1.61333 | − | 3.53270i | −0.131291 | − | 0.287487i | 0.832557 | − | 0.553939i | \(-0.186876\pi\) |
−0.963848 | + | 0.266452i | \(0.914149\pi\) | |||||||
\(152\) | −3.99421 | − | 5.33563i | −0.323973 | − | 0.432777i | ||||
\(153\) | 0.0670771 | − | 0.00479745i | 0.00542287 | − | 0.000387851i | ||||
\(154\) | 0.216658 | + | 0.0989445i | 0.0174588 | + | 0.00797318i | ||||
\(155\) | 1.97083 | − | 2.67343i | 0.158300 | − | 0.214735i | ||||
\(156\) | 0.867784 | + | 6.03557i | 0.0694783 | + | 0.483232i | ||||
\(157\) | −2.35173 | + | 10.8107i | −0.187688 | + | 0.862789i | 0.782920 | + | 0.622123i | \(0.213729\pi\) |
−0.970608 | + | 0.240666i | \(0.922634\pi\) | |||||||
\(158\) | −0.236132 | + | 3.30156i | −0.0187857 | + | 0.262658i | ||||
\(159\) | 5.34469 | − | 1.56934i | 0.423862 | − | 0.124457i | ||||
\(160\) | 1.67910 | − | 1.47669i | 0.132745 | − | 0.116743i | ||||
\(161\) | 0.108809 | − | 0.393233i | 0.00857532 | − | 0.0309911i | ||||
\(162\) | −0.707107 | − | 0.707107i | −0.0555556 | − | 0.0555556i | ||||
\(163\) | 5.50255 | − | 10.0772i | 0.430993 | − | 0.789304i | −0.568449 | − | 0.822719i | \(-0.692456\pi\) |
0.999442 | + | 0.0334142i | \(0.0106380\pi\) | |||||||
\(164\) | 9.46544 | − | 8.20185i | 0.739127 | − | 0.640457i | ||||
\(165\) | −1.71952 | + | 6.01941i | −0.133865 | + | 0.468611i | ||||
\(166\) | −9.83224 | + | 1.41366i | −0.763130 | + | 0.109721i | ||||
\(167\) | 4.49435 | + | 20.6602i | 0.347783 | + | 1.59873i | 0.735879 | + | 0.677114i | \(0.236769\pi\) |
−0.388096 | + | 0.921619i | \(0.626867\pi\) | |||||||
\(168\) | 0.0797118 | − | 0.0297310i | 0.00614990 | − | 0.00229379i | ||||
\(169\) | 18.2749 | + | 15.8353i | 1.40576 | + | 1.21810i | ||||
\(170\) | −0.147167 | − | 0.0308835i | −0.0112872 | − | 0.00236866i | ||||
\(171\) | 6.06273 | − | 2.76875i | 0.463628 | − | 0.211732i | ||||
\(172\) | 11.2708 | − | 6.15434i | 0.859392 | − | 0.469264i | ||||
\(173\) | 16.0883 | − | 8.78485i | 1.22317 | − | 0.667900i | 0.267844 | − | 0.963462i | \(-0.413689\pi\) |
0.955323 | + | 0.295562i | \(0.0955070\pi\) | |||||||
\(174\) | −6.47038 | + | 2.95492i | −0.490518 | + | 0.224012i | ||||
\(175\) | −0.209326 | − | 0.370311i | −0.0158236 | − | 0.0279928i | ||||
\(176\) | 2.11583 | + | 1.83338i | 0.159487 | + | 0.138196i | ||||
\(177\) | −4.49550 | + | 1.67673i | −0.337902 | + | 0.126031i | ||||
\(178\) | −2.49160 | − | 11.4537i | −0.186753 | − | 0.858491i | ||||
\(179\) | −2.04938 | + | 0.294657i | −0.153178 | + | 0.0220237i | −0.218477 | − | 0.975842i | \(-0.570109\pi\) |
0.0652992 | + | 0.997866i | \(0.479200\pi\) | |||||||
\(180\) | 1.08602 | + | 1.95462i | 0.0809474 | + | 0.145689i | ||||
\(181\) | −8.55376 | + | 7.41187i | −0.635796 | + | 0.550920i | −0.912006 | − | 0.410177i | \(-0.865467\pi\) |
0.276210 | + | 0.961097i | \(0.410921\pi\) | |||||||
\(182\) | 0.248616 | − | 0.455306i | 0.0184286 | − | 0.0337495i | ||||
\(183\) | 1.89255 | + | 1.89255i | 0.139901 | + | 0.139901i | ||||
\(184\) | 2.52936 | − | 4.07459i | 0.186467 | − | 0.300383i | ||||
\(185\) | −8.98246 | − | 10.2137i | −0.660403 | − | 0.750927i | ||||
\(186\) | 1.42519 | − | 0.418473i | 0.104500 | − | 0.0306839i | ||||
\(187\) | 0.0134312 | − | 0.187792i | 0.000982185 | − | 0.0137327i | ||||
\(188\) | −1.95315 | + | 8.97848i | −0.142448 | + | 0.654823i | ||||
\(189\) | 0.0121076 | + | 0.0842099i | 0.000880695 | + | 0.00612537i | ||||
\(190\) | −14.7358 | + | 2.22931i | −1.06905 | + | 0.161731i | ||||
\(191\) | −12.2469 | − | 5.59298i | −0.886155 | − | 0.404693i | −0.0802753 | − | 0.996773i | \(-0.525580\pi\) |
−0.805880 | + | 0.592079i | \(0.798307\pi\) | |||||||
\(192\) | 0.997452 | − | 0.0713392i | 0.0719849 | − | 0.00514846i | ||||
\(193\) | 9.36288 | + | 12.5073i | 0.673955 | + | 0.900298i | 0.998968 | − | 0.0454112i | \(-0.0144598\pi\) |
−0.325014 | + | 0.945709i | \(0.605369\pi\) | |||||||
\(194\) | 4.79990 | + | 10.5103i | 0.344613 | + | 0.754597i | ||||
\(195\) | 12.8097 | + | 4.67086i | 0.917323 | + | 0.334487i | ||||
\(196\) | 6.70951 | + | 1.97009i | 0.479250 | + | 0.140721i | ||||
\(197\) | −2.83668 | + | 7.60543i | −0.202105 | + | 0.541865i | −0.997975 | − | 0.0636026i | \(-0.979741\pi\) |
0.795870 | + | 0.605467i | \(0.207014\pi\) | |||||||
\(198\) | −2.24123 | + | 1.67777i | −0.159277 | + | 0.119234i | ||||
\(199\) | 8.20126 | − | 9.46476i | 0.581372 | − | 0.670939i | −0.386527 | − | 0.922278i | \(-0.626326\pi\) |
0.967899 | + | 0.251339i | \(0.0808710\pi\) | |||||||
\(200\) | −1.13450 | − | 4.86959i | −0.0802213 | − | 0.344332i | ||||
\(201\) | 5.86985 | − | 9.13366i | 0.414027 | − | 0.644239i | ||||
\(202\) | 7.81080 | − | 10.4340i | 0.549566 | − | 0.734135i | ||||
\(203\) | 0.591330 | + | 0.128636i | 0.0415033 | + | 0.00902848i | ||||
\(204\) | −0.0440384 | − | 0.0508230i | −0.00308330 | − | 0.00355832i | ||||
\(205\) | −6.15395 | − | 27.3213i | −0.429811 | − | 1.90820i | ||||
\(206\) | − | 14.8679i | − | 1.03590i | ||||||
\(207\) | 3.44382 | + | 3.33768i | 0.239362 | + | 0.231985i | ||||
\(208\) | 4.31168 | − | 4.31168i | 0.298961 | − | 0.298961i | ||||
\(209\) | −5.25706 | − | 17.9039i | −0.363638 | − | 1.23844i | ||||
\(210\) | 0.0256892 | − | 0.188493i | 0.00177272 | − | 0.0130072i | ||||
\(211\) | −19.4037 | + | 12.4700i | −1.33580 | + | 0.858468i | −0.996612 | − | 0.0822495i | \(-0.973790\pi\) |
−0.339191 | + | 0.940718i | \(0.610153\pi\) | |||||||
\(212\) | −4.45928 | − | 3.33818i | −0.306265 | − | 0.229267i | ||||
\(213\) | −6.45185 | + | 1.40351i | −0.442073 | + | 0.0961672i | ||||
\(214\) | −3.93915 | + | 8.62555i | −0.269275 | + | 0.589630i | ||||
\(215\) | −0.210966 | − | 28.7140i | −0.0143878 | − | 1.95828i | ||||
\(216\) | −0.142315 | + | 0.989821i | −0.00968330 | + | 0.0673488i | ||||
\(217\) | −0.118400 | − | 0.0441610i | −0.00803754 | − | 0.00299785i | ||||
\(218\) | 2.02978 | + | 3.71726i | 0.137474 | + | 0.251764i | ||||
\(219\) | −3.66934 | + | 12.4966i | −0.247951 | + | 0.844444i | ||||
\(220\) | 5.84926 | − | 2.23075i | 0.394357 | − | 0.150397i | ||||
\(221\) | −0.405883 | − | 0.0583571i | −0.0273026 | − | 0.00392553i | ||||
\(222\) | −0.433944 | − | 6.06734i | −0.0291244 | − | 0.407213i | ||||
\(223\) | 4.52514 | + | 12.1324i | 0.303026 | + | 0.812444i | 0.995822 | + | 0.0913107i | \(0.0291056\pi\) |
−0.692797 | + | 0.721133i | \(0.743622\pi\) | |||||||
\(224\) | −0.0715703 | − | 0.0459955i | −0.00478199 | − | 0.00307320i | ||||
\(225\) | 4.99946 | − | 0.0734676i | 0.333297 | − | 0.00489784i | ||||
\(226\) | 6.25395 | + | 9.73134i | 0.416007 | + | 0.647319i | ||||
\(227\) | −6.28368 | − | 0.449418i | −0.417063 | − | 0.0298289i | −0.138769 | − | 0.990325i | \(-0.544314\pi\) |
−0.278294 | + | 0.960496i | \(0.589769\pi\) | |||||||
\(228\) | −5.84976 | − | 3.19421i | −0.387410 | − | 0.211542i | ||||
\(229\) | −16.7134 | −1.10446 | −0.552228 | − | 0.833693i | \(-0.686222\pi\) | ||||
−0.552228 | + | 0.833693i | \(0.686222\pi\) | |||||||
\(230\) | −5.35445 | − | 9.29138i | −0.353062 | − | 0.612656i | ||||
\(231\) | 0.238182 | 0.0156712 | ||||||||
\(232\) | 6.24309 | + | 3.40899i | 0.409879 | + | 0.223811i | ||||
\(233\) | 5.69183 | + | 0.407087i | 0.372884 | + | 0.0266692i | 0.256524 | − | 0.966538i | \(-0.417423\pi\) |
0.116360 | + | 0.993207i | \(0.462877\pi\) | |||||||
\(234\) | 3.29663 | + | 5.12966i | 0.215507 | + | 0.335336i | ||||
\(235\) | 15.6261 | + | 13.3403i | 1.01933 | + | 0.870228i | ||||
\(236\) | 4.03635 | + | 2.59400i | 0.262744 | + | 0.168855i | ||||
\(237\) | 1.15672 | + | 3.10130i | 0.0751373 | + | 0.201451i | ||||
\(238\) | 0.000408147 | 0.00570664i | 2.64563e−5 | 0.000369907i | ||||||
\(239\) | −4.34000 | − | 0.623997i | −0.280731 | − | 0.0403630i | 0.000511083 | − | 1.00000i | \(-0.499837\pi\) |
−0.281242 | + | 0.959637i | \(0.590746\pi\) | |||||||
\(240\) | 0.913927 | − | 2.04077i | 0.0589938 | − | 0.131731i | ||||
\(241\) | −6.42016 | + | 21.8651i | −0.413559 | + | 1.40845i | 0.444904 | + | 0.895578i | \(0.353238\pi\) |
−0.858464 | + | 0.512875i | \(0.828581\pi\) | |||||||
\(242\) | −1.51537 | − | 2.77520i | −0.0974119 | − | 0.178397i | ||||
\(243\) | −0.936950 | − | 0.349464i | −0.0601054 | − | 0.0224181i | ||||
\(244\) | 0.380901 | − | 2.64922i | 0.0243847 | − | 0.169599i | ||||
\(245\) | 10.9750 | − | 11.1375i | 0.701167 | − | 0.711546i | ||||
\(246\) | 5.20289 | − | 11.3928i | 0.331724 | − | 0.726375i | ||||
\(247\) | −39.7122 | + | 8.63885i | −2.52682 | + | 0.549677i | ||||
\(248\) | −1.18909 | − | 0.890140i | −0.0755072 | − | 0.0565240i | ||||
\(249\) | −8.35646 | + | 5.37037i | −0.529569 | + | 0.340334i | ||||
\(250\) | −10.7943 | − | 2.91268i | −0.682690 | − | 0.184214i | ||||
\(251\) | 0.932363 | + | 3.17534i | 0.0588503 | + | 0.200426i | 0.983670 | − | 0.179979i | \(-0.0576030\pi\) |
−0.924820 | + | 0.380405i | \(0.875785\pi\) | |||||||
\(252\) | 0.0601577 | − | 0.0601577i | 0.00378958 | − | 0.00378958i | ||||
\(253\) | 10.6213 | − | 8.21352i | 0.667757 | − | 0.516379i | ||||
\(254\) | 6.21685i | 0.390080i | ||||||||
\(255\) | −0.146697 | + | 0.0330426i | −0.00918652 | + | 0.00206921i | ||||
\(256\) | −0.654861 | − | 0.755750i | −0.0409288 | − | 0.0472343i | ||||
\(257\) | 18.1285 | + | 3.94362i | 1.13083 | + | 0.245996i | 0.738778 | − | 0.673949i | \(-0.235403\pi\) |
0.392048 | + | 0.919945i | \(0.371767\pi\) | |||||||
\(258\) | 7.69570 | − | 10.2802i | 0.479113 | − | 0.640020i | ||||
\(259\) | −0.279783 | + | 0.435351i | −0.0173849 | + | 0.0270514i | ||||
\(260\) | −3.93736 | − | 13.0538i | −0.244185 | − | 0.809565i | ||||
\(261\) | −4.65815 | + | 5.37579i | −0.288332 | + | 0.332753i | ||||
\(262\) | 13.8861 | − | 10.3950i | 0.857886 | − | 0.642205i | ||||
\(263\) | 2.15485 | − | 5.77737i | 0.132874 | − | 0.356248i | −0.853426 | − | 0.521215i | \(-0.825479\pi\) |
0.986299 | + | 0.164967i | \(0.0527518\pi\) | |||||||
\(264\) | 2.68624 | + | 0.788752i | 0.165327 | + | 0.0485443i | ||||
\(265\) | −11.2917 | + | 5.25736i | −0.693645 | + | 0.322957i | ||||
\(266\) | 0.235554 | + | 0.515792i | 0.0144428 | + | 0.0316252i | ||||
\(267\) | −7.02447 | − | 9.38360i | −0.429891 | − | 0.574267i | ||||
\(268\) | −10.8295 | + | 0.774544i | −0.661520 | + | 0.0473128i | ||||
\(269\) | −16.2336 | − | 7.41364i | −0.989781 | − | 0.452018i | −0.146337 | − | 0.989235i | \(-0.546748\pi\) |
−0.843444 | + | 0.537217i | \(0.819476\pi\) | |||||||
\(270\) | 1.79986 | + | 1.32684i | 0.109536 | + | 0.0807488i | ||||
\(271\) | −0.614596 | − | 4.27461i | −0.0373340 | − | 0.259664i | 0.962603 | − | 0.270917i | \(-0.0873270\pi\) |
−0.999937 | + | 0.0112533i | \(0.996418\pi\) | |||||||
\(272\) | −0.0142947 | + | 0.0657116i | −0.000866743 | + | 0.00398435i | ||||
\(273\) | 0.0370080 | − | 0.517439i | 0.00223983 | − | 0.0313169i | ||||
\(274\) | 9.89619 | − | 2.90578i | 0.597851 | − | 0.175545i | ||||
\(275\) | 1.78835 | − | 13.8835i | 0.107842 | − | 0.837208i | ||||
\(276\) | 0.608142 | − | 4.75712i | 0.0366059 | − | 0.286345i | ||||
\(277\) | 9.19694 | + | 9.19694i | 0.552590 | + | 0.552590i | 0.927188 | − | 0.374597i | \(-0.122219\pi\) |
−0.374597 | + | 0.927188i | \(0.622219\pi\) | |||||||
\(278\) | 2.47389 | − | 4.53059i | 0.148374 | − | 0.271727i | ||||
\(279\) | 1.12256 | − | 0.972701i | 0.0672057 | − | 0.0582341i | ||||
\(280\) | −0.166291 | + | 0.0923943i | −0.00993780 | + | 0.00552162i | ||||
\(281\) | 14.8106 | − | 2.12945i | 0.883529 | − | 0.127032i | 0.314410 | − | 0.949287i | \(-0.398193\pi\) |
0.569119 | + | 0.822255i | \(0.307284\pi\) | |||||||
\(282\) | 1.95315 | + | 8.97848i | 0.116308 | + | 0.534661i | ||||
\(283\) | −0.536026 | + | 0.199927i | −0.0318634 | + | 0.0118844i | −0.365345 | − | 0.930872i | \(-0.619049\pi\) |
0.333482 | + | 0.942756i | \(0.391776\pi\) | |||||||
\(284\) | 4.99002 | + | 4.32388i | 0.296103 | + | 0.256575i | ||||
\(285\) | −12.4781 | + | 8.14932i | −0.739136 | + | 0.482724i | ||||
\(286\) | 15.5285 | − | 7.09164i | 0.918221 | − | 0.419338i | ||||
\(287\) | −0.935201 | + | 0.510658i | −0.0552031 | + | 0.0301432i | ||||
\(288\) | 0.877679 | − | 0.479249i | 0.0517177 | − | 0.0282400i | ||||
\(289\) | −15.4596 | + | 7.06018i | −0.909390 | + | 0.415305i | ||||
\(290\) | 13.3171 | − | 8.69727i | 0.782006 | − | 0.510722i | ||||
\(291\) | 8.73229 | + | 7.56657i | 0.511896 | + | 0.443560i | ||||
\(292\) | 12.2030 | − | 4.55149i | 0.714128 | − | 0.266356i | ||||
\(293\) | 3.24041 | + | 14.8959i | 0.189307 | + | 0.870229i | 0.969577 | + | 0.244787i | \(0.0787179\pi\) |
−0.780270 | + | 0.625442i | \(0.784918\pi\) | |||||||
\(294\) | 6.92159 | − | 0.995174i | 0.403675 | − | 0.0580397i | ||||
\(295\) | 9.37831 | − | 5.21075i | 0.546026 | − | 0.303382i | ||||
\(296\) | −4.59710 | + | 3.98341i | −0.267201 | + | 0.231531i | ||||
\(297\) | −1.34173 | + | 2.45719i | −0.0778550 | + | 0.142581i | ||||
\(298\) | −10.3135 | − | 10.3135i | −0.597444 | − | 0.597444i | ||||
\(299\) | −16.1932 | − | 24.3505i | −0.936474 | − | 1.40823i | ||||
\(300\) | −3.05488 | − | 3.95825i | −0.176374 | − | 0.228529i | ||||
\(301\) | −1.04826 | + | 0.307796i | −0.0604206 | + | 0.0177411i | ||||
\(302\) | −0.277057 | + | 3.87376i | −0.0159428 | + | 0.222910i | ||||
\(303\) | 2.77051 | − | 12.7358i | 0.159162 | − | 0.731655i | ||||
\(304\) | 0.948533 | + | 6.59719i | 0.0544021 | + | 0.378375i | ||||
\(305\) | −4.81727 | − | 3.55124i | −0.275836 | − | 0.203343i | ||||
\(306\) | −0.0611714 | − | 0.0279360i | −0.00349693 | − | 0.00159700i | ||||
\(307\) | 2.40271 | − | 0.171845i | 0.137130 | − | 0.00980774i | −0.00260541 | − | 0.999997i | \(-0.500829\pi\) |
0.139735 | + | 0.990189i | \(0.455375\pi\) | |||||||
\(308\) | −0.142737 | − | 0.190675i | −0.00813321 | − | 0.0108647i | ||||
\(309\) | −6.17634 | − | 13.5243i | −0.351360 | − | 0.769371i | ||||
\(310\) | −3.01099 | + | 1.40190i | −0.171013 | + | 0.0796226i | ||||
\(311\) | −6.07078 | − | 1.78254i | −0.344243 | − | 0.101079i | 0.105041 | − | 0.994468i | \(-0.466503\pi\) |
−0.449284 | + | 0.893389i | \(0.648321\pi\) | |||||||
\(312\) | 2.13090 | − | 5.71318i | 0.120639 | − | 0.323445i | ||||
\(313\) | −7.77322 | + | 5.81896i | −0.439368 | + | 0.328907i | −0.795956 | − | 0.605355i | \(-0.793031\pi\) |
0.356587 | + | 0.934262i | \(0.383940\pi\) | |||||||
\(314\) | 7.24508 | − | 8.36127i | 0.408864 | − | 0.471854i | ||||
\(315\) | −0.0549351 | − | 0.182131i | −0.00309524 | − | 0.0102619i | ||||
\(316\) | 1.78952 | − | 2.78454i | 0.100668 | − | 0.156643i | ||||
\(317\) | −1.17381 | + | 1.56802i | −0.0659275 | + | 0.0880688i | −0.832293 | − | 0.554336i | \(-0.812972\pi\) |
0.766365 | + | 0.642405i | \(0.222063\pi\) | |||||||
\(318\) | −5.44303 | − | 1.18406i | −0.305230 | − | 0.0663987i | ||||
\(319\) | 13.0412 | + | 15.0503i | 0.730165 | + | 0.842655i | ||||
\(320\) | −2.18142 | + | 0.491350i | −0.121945 | + | 0.0274673i | ||||
\(321\) | 9.48246i | 0.529259i | ||||||||
\(322\) | −0.283956 | + | 0.292986i | −0.0158242 | + | 0.0163275i | ||||
\(323\) | 0.316935 | − | 0.316935i | 0.0176347 | − | 0.0176347i | ||||
\(324\) | 0.281733 | + | 0.959493i | 0.0156518 | + | 0.0533052i | ||||
\(325\) | −29.8834 | − | 6.04229i | −1.65763 | − | 0.335166i | ||||
\(326\) | −9.65894 | + | 6.20743i | −0.534959 | + | 0.343797i | ||||
\(327\) | 3.39055 | + | 2.53814i | 0.187498 | + | 0.140359i | ||||
\(328\) | −12.2383 | + | 2.66229i | −0.675750 | + | 0.147000i | ||||
\(329\) | 0.324737 | − | 0.711074i | 0.0179033 | − | 0.0392028i | ||||
\(330\) | 4.39399 | − | 4.45903i | 0.241881 | − | 0.245462i | ||||
\(331\) | 3.17453 | − | 22.0794i | 0.174488 | − | 1.21359i | −0.694770 | − | 0.719232i | \(-0.744494\pi\) |
0.869258 | − | 0.494359i | \(-0.164597\pi\) | |||||||
\(332\) | 9.30705 | + | 3.47135i | 0.510790 | + | 0.190515i | ||||
\(333\) | −2.91519 | − | 5.33878i | −0.159752 | − | 0.292563i | ||||
\(334\) | 5.95678 | − | 20.2869i | 0.325940 | − | 1.11005i | ||||
\(335\) | −9.92270 | + | 22.1570i | −0.542135 | + | 1.21057i | ||||
\(336\) | −0.0842099 | − | 0.0121076i | −0.00459403 | − | 0.000660521i | ||||
\(337\) | 1.63515 | + | 22.8624i | 0.0890723 | + | 1.24539i | 0.823740 | + | 0.566967i | \(0.191883\pi\) |
−0.734668 | + | 0.678427i | \(0.762662\pi\) | |||||||
\(338\) | −8.45044 | − | 22.6565i | −0.459643 | − | 1.23235i | ||||
\(339\) | 9.73134 | + | 6.25395i | 0.528534 | + | 0.339668i | ||||
\(340\) | 0.114364 | + | 0.0976352i | 0.00620227 | + | 0.00529501i | ||||
\(341\) | −2.24824 | − | 3.49833i | −0.121749 | − | 0.189445i | ||||
\(342\) | −6.64805 | − | 0.475478i | −0.359485 | − | 0.0257109i | ||||
\(343\) | −1.04483 | − | 0.570520i | −0.0564155 | − | 0.0308052i | ||||
\(344\) | −12.8416 | −0.692374 | ||||||||
\(345\) | −8.73036 | − | 6.22742i | −0.470027 | − | 0.335273i | ||||
\(346\) | −18.3305 | −0.985451 | ||||||||
\(347\) | 7.96946 | + | 4.35166i | 0.427823 | + | 0.233609i | 0.678709 | − | 0.734408i | \(-0.262540\pi\) |
−0.250885 | + | 0.968017i | \(0.580722\pi\) | |||||||
\(348\) | 7.09506 | + | 0.507449i | 0.380335 | + | 0.0272021i | ||||
\(349\) | −8.99598 | − | 13.9980i | −0.481544 | − | 0.749297i | 0.512452 | − | 0.858716i | \(-0.328737\pi\) |
−0.993996 | + | 0.109419i | \(0.965101\pi\) | |||||||
\(350\) | 0.00625031 | + | 0.425333i | 0.000334093 | + | 0.0227350i | ||||
\(351\) | 5.12966 | + | 3.29663i | 0.273801 | + | 0.175961i | ||||
\(352\) | −0.978376 | − | 2.62313i | −0.0521476 | − | 0.139813i | ||||
\(353\) | 2.57958 | + | 36.0672i | 0.137297 | + | 1.91966i | 0.340002 | + | 0.940425i | \(0.389572\pi\) |
−0.202705 | + | 0.979240i | \(0.564973\pi\) | |||||||
\(354\) | 4.74918 | + | 0.682829i | 0.252416 | + | 0.0362919i | ||||
\(355\) | 13.7950 | − | 5.26104i | 0.732163 | − | 0.279227i | ||||
\(356\) | −3.30235 | + | 11.2468i | −0.175024 | + | 0.596077i | ||||
\(357\) | 0.00274189 | + | 0.00502139i | 0.000145116 | + | 0.000265760i | ||||
\(358\) | 1.93991 | + | 0.723550i | 0.102528 | + | 0.0382408i | ||||
\(359\) | 1.10459 | − | 7.68262i | 0.0582982 | − | 0.405473i | −0.939687 | − | 0.342034i | \(-0.888884\pi\) |
0.997986 | − | 0.0634389i | \(-0.0202068\pi\) | |||||||
\(360\) | −0.0164283 | − | 2.23601i | −0.000865847 | − | 0.117848i | ||||
\(361\) | 10.5610 | − | 23.1253i | 0.555840 | − | 1.21712i | ||||
\(362\) | 11.0596 | − | 2.40587i | 0.581279 | − | 0.126450i | ||||
\(363\) | −2.53129 | − | 1.89490i | −0.132858 | − | 0.0994565i | ||||
\(364\) | −0.436410 | + | 0.280463i | −0.0228741 | + | 0.0147003i | ||||
\(365\) | 3.93273 | − | 28.8562i | 0.205849 | − | 1.51040i | ||||
\(366\) | −0.754048 | − | 2.56805i | −0.0394147 | − | 0.134234i | ||||
\(367\) | −6.58301 | + | 6.58301i | −0.343630 | + | 0.343630i | −0.857730 | − | 0.514100i | \(-0.828126\pi\) |
0.514100 | + | 0.857730i | \(0.328126\pi\) | |||||||
\(368\) | −4.17271 | + | 2.36399i | −0.217518 | + | 0.123232i | ||||
\(369\) | − | 12.5246i | − | 0.652003i | ||||||
\(370\) | 2.98880 | + | 13.2692i | 0.155381 | + | 0.689832i | ||||
\(371\) | 0.310339 | + | 0.358150i | 0.0161120 | + | 0.0185942i | ||||
\(372\) | −1.45141 | − | 0.315735i | −0.0752521 | − | 0.0163701i | ||||
\(373\) | 11.5905 | − | 15.4831i | 0.600135 | − | 0.801686i | −0.392891 | − | 0.919585i | \(-0.628525\pi\) |
0.993026 | + | 0.117899i | \(0.0376159\pi\) | |||||||
\(374\) | −0.101788 | + | 0.158385i | −0.00526331 | + | 0.00818987i | ||||
\(375\) | −11.0288 | + | 1.83464i | −0.569524 | + | 0.0947404i | ||||
\(376\) | 6.01717 | − | 6.94418i | 0.310312 | − | 0.358119i | ||||
\(377\) | 34.7224 | − | 25.9928i | 1.78829 | − | 1.33870i | ||||
\(378\) | 0.0297310 | − | 0.0797118i | 0.00152920 | − | 0.00409993i | ||||
\(379\) | 22.3272 | + | 6.55586i | 1.14687 | + | 0.336752i | 0.799318 | − | 0.600908i | \(-0.205194\pi\) |
0.347554 | + | 0.937660i | \(0.387012\pi\) | |||||||
\(380\) | 14.0017 | + | 5.10550i | 0.718271 | + | 0.261906i | ||||
\(381\) | 2.58257 | + | 5.65505i | 0.132309 | + | 0.289717i | ||||
\(382\) | 8.06843 | + | 10.7782i | 0.412817 | + | 0.551458i | ||||
\(383\) | 10.8520 | − | 0.776150i | 0.554511 | − | 0.0396594i | 0.208728 | − | 0.977974i | \(-0.433068\pi\) |
0.345783 | + | 0.938314i | \(0.387613\pi\) | |||||||
\(384\) | −0.909632 | − | 0.415415i | −0.0464195 | − | 0.0211991i | ||||
\(385\) | −0.526600 | + | 0.0796668i | −0.0268380 | + | 0.00406019i | ||||
\(386\) | −2.22347 | − | 15.4646i | −0.113172 | − | 0.787126i | ||||
\(387\) | 2.72968 | − | 12.5482i | 0.138758 | − | 0.637858i | ||||
\(388\) | 0.824287 | − | 11.5250i | 0.0418468 | − | 0.585095i | ||||
\(389\) | −25.9423 | + | 7.61734i | −1.31533 | + | 0.386215i | −0.862804 | − | 0.505539i | \(-0.831294\pi\) |
−0.452522 | + | 0.891753i | \(0.649476\pi\) | |||||||
\(390\) | −9.00431 | − | 10.2386i | −0.455951 | − | 0.518450i | ||||
\(391\) | 0.295428 | + | 0.129369i | 0.0149405 | + | 0.00654246i | ||||
\(392\) | −4.94463 | − | 4.94463i | −0.249742 | − | 0.249742i | ||||
\(393\) | 8.31300 | − | 15.2241i | 0.419335 | − | 0.767955i | ||||
\(394\) | 6.13459 | − | 5.31565i | 0.309056 | − | 0.267799i | ||||
\(395\) | −3.59473 | − | 6.46979i | −0.180870 | − | 0.325530i | ||||
\(396\) | 2.77115 | − | 0.398431i | 0.139256 | − | 0.0200219i | ||||
\(397\) | −5.28713 | − | 24.3045i | −0.265353 | − | 1.21981i | −0.896111 | − | 0.443830i | \(-0.853619\pi\) |
0.630758 | − | 0.775980i | \(-0.282744\pi\) | |||||||
\(398\) | −11.7340 | + | 4.37657i | −0.588175 | + | 0.219378i | ||||
\(399\) | 0.428535 | + | 0.371328i | 0.0214536 | + | 0.0185896i | ||||
\(400\) | −1.33802 | + | 4.81765i | −0.0669010 | + | 0.240882i | ||||
\(401\) | 7.09924 | − | 3.24211i | 0.354519 | − | 0.161903i | −0.230192 | − | 0.973145i | \(-0.573935\pi\) |
0.584711 | + | 0.811242i | \(0.301208\pi\) | |||||||
\(402\) | −9.52914 | + | 5.20331i | −0.475270 | + | 0.259517i | ||||
\(403\) | −7.94927 | + | 4.34063i | −0.395981 | + | 0.216222i | ||||
\(404\) | −11.8559 | + | 5.41439i | −0.589852 | + | 0.269376i | ||||
\(405\) | 2.18840 | + | 0.459245i | 0.108742 | + | 0.0228201i | ||||
\(406\) | −0.457350 | − | 0.396296i | −0.0226979 | − | 0.0196678i | ||||
\(407\) | −15.9561 | + | 5.95130i | −0.790912 | + | 0.294995i | ||||
\(408\) | 0.0142947 | + | 0.0657116i | 0.000707693 | + | 0.00325321i | ||||
\(409\) | −17.4442 | + | 2.50810i | −0.862560 | + | 0.124017i | −0.559375 | − | 0.828914i | \(-0.688959\pi\) |
−0.303185 | + | 0.952932i | \(0.598050\pi\) | |||||||
\(410\) | −7.69251 | + | 26.9286i | −0.379906 | + | 1.32991i | ||||
\(411\) | 7.79478 | − | 6.75422i | 0.384488 | − | 0.333161i | ||||
\(412\) | −7.12542 | + | 13.0492i | −0.351044 | + | 0.642890i | ||||
\(413\) | −0.288637 | − | 0.288637i | −0.0142029 | − | 0.0142029i | ||||
\(414\) | −1.42299 | − | 4.57986i | −0.0699363 | − | 0.225088i | ||||
\(415\) | 16.6791 | − | 14.6685i | 0.818746 | − | 0.720047i | ||||
\(416\) | −5.85064 | + | 1.71790i | −0.286851 | + | 0.0842271i | ||||
\(417\) | 0.368254 | − | 5.14886i | 0.0180335 | − | 0.252141i | ||||
\(418\) | −3.96641 | + | 18.2333i | −0.194004 | + | 0.891820i | ||||
\(419\) | 1.09783 | + | 7.63557i | 0.0536325 | + | 0.373022i | 0.998907 | + | 0.0467455i | \(0.0148850\pi\) |
−0.945274 | + | 0.326277i | \(0.894206\pi\) | |||||||
\(420\) | −0.112882 | + | 0.153125i | −0.00550807 | + | 0.00747172i | ||||
\(421\) | 4.11422 | + | 1.87890i | 0.200515 | + | 0.0915720i | 0.513141 | − | 0.858304i | \(-0.328482\pi\) |
−0.312627 | + | 0.949876i | \(0.601209\pi\) | |||||||
\(422\) | 23.0064 | − | 1.64545i | 1.11993 | − | 0.0800993i | ||||
\(423\) | 5.50644 | + | 7.35575i | 0.267732 | + | 0.357649i | ||||
\(424\) | 2.31400 | + | 5.06695i | 0.112378 | + | 0.246073i | ||||
\(425\) | 0.313282 | − | 0.122121i | 0.0151964 | − | 0.00592374i | ||||
\(426\) | 6.33528 | + | 1.86021i | 0.306945 | + | 0.0901273i | ||||
\(427\) | −0.0795739 | + | 0.213346i | −0.00385085 | + | 0.0103245i | ||||
\(428\) | 7.59110 | − | 5.68262i | 0.366930 | − | 0.274680i | ||||
\(429\) | 11.1793 | − | 12.9016i | 0.539740 | − | 0.622894i | ||||
\(430\) | −13.5760 | + | 25.3028i | −0.654692 | + | 1.22021i | ||||
\(431\) | 9.91732 | − | 15.4316i | 0.477700 | − | 0.743316i | −0.515854 | − | 0.856677i | \(-0.672525\pi\) |
0.993554 | + | 0.113361i | \(0.0361615\pi\) | |||||||
\(432\) | 0.599278 | − | 0.800541i | 0.0288328 | − | 0.0385161i | ||||
\(433\) | −12.6111 | − | 2.74337i | −0.606048 | − | 0.131838i | −0.100938 | − | 0.994893i | \(-0.532184\pi\) |
−0.505110 | + | 0.863055i | \(0.668548\pi\) | |||||||
\(434\) | 0.0827533 | + | 0.0955024i | 0.00397229 | + | 0.00458426i | ||||
\(435\) | 8.50066 | − | 13.4434i | 0.407575 | − | 0.644563i | ||||
\(436\) | − | 4.23532i | − | 0.202835i | ||||||
\(437\) | 31.9147 | + | 1.78106i | 1.52669 | + | 0.0851994i | ||||
\(438\) | 9.20950 | − | 9.20950i | 0.440047 | − | 0.440047i | ||||
\(439\) | 4.56613 | + | 15.5508i | 0.217930 | + | 0.742200i | 0.993788 | + | 0.111293i | \(0.0354990\pi\) |
−0.775858 | + | 0.630907i | \(0.782683\pi\) | |||||||
\(440\) | −6.20286 | − | 0.845370i | −0.295710 | − | 0.0403014i | ||||
\(441\) | 5.88269 | − | 3.78057i | 0.280128 | − | 0.180027i | ||||
\(442\) | 0.328267 | + | 0.245738i | 0.0156141 | + | 0.0116886i | ||||
\(443\) | −19.1531 | + | 4.16651i | −0.909992 | + | 0.197957i | −0.643111 | − | 0.765773i | \(-0.722357\pi\) |
−0.266881 | + | 0.963729i | \(0.585993\pi\) | |||||||
\(444\) | −2.52690 | + | 5.53314i | −0.119921 | + | 0.262591i | ||||
\(445\) | 18.6691 | + | 18.3968i | 0.885000 | + | 0.872090i | ||||
\(446\) | 1.84281 | − | 12.8170i | 0.0872594 | − | 0.606902i | ||||
\(447\) | −13.6659 | − | 5.09710i | −0.646373 | − | 0.241085i | ||||
\(448\) | 0.0407725 | + | 0.0746693i | 0.00192632 | + | 0.00352779i | ||||
\(449\) | −2.71840 | + | 9.25802i | −0.128289 | + | 0.436913i | −0.998438 | − | 0.0558766i | \(-0.982205\pi\) |
0.870148 | + | 0.492790i | \(0.164023\pi\) | |||||||
\(450\) | −4.42313 | − | 2.33151i | −0.208508 | − | 0.109908i | ||||
\(451\) | −34.7075 | − | 4.99018i | −1.63431 | − | 0.234978i | ||||
\(452\) | −0.825227 | − | 11.5382i | −0.0388154 | − | 0.542711i | ||||
\(453\) | 1.35720 | + | 3.63879i | 0.0637667 | + | 0.170965i | ||||
\(454\) | 5.29967 | + | 3.40589i | 0.248726 | + | 0.159847i | ||||
\(455\) | 0.0912508 | + | 1.15639i | 0.00427790 | + | 0.0542124i | ||||
\(456\) | 3.60339 | + | 5.60698i | 0.168744 | + | 0.262571i | ||||
\(457\) | −24.2170 | − | 1.73203i | −1.13282 | − | 0.0810212i | −0.507691 | − | 0.861539i | \(-0.669501\pi\) |
−0.625133 | + | 0.780518i | \(0.714955\pi\) | |||||||
\(458\) | 14.6690 | + | 8.00990i | 0.685439 | + | 0.374278i | ||||
\(459\) | −0.0672485 | −0.00313889 | ||||||||
\(460\) | 0.246604 | + | 10.7210i | 0.0114980 | + | 0.499868i | ||||
\(461\) | 20.6639 | 0.962416 | 0.481208 | − | 0.876607i | \(-0.340198\pi\) | ||||
0.481208 | + | 0.876607i | \(0.340198\pi\) | |||||||
\(462\) | −0.209048 | − | 0.114149i | −0.00972577 | − | 0.00531067i | ||||
\(463\) | 14.4374 | + | 1.03258i | 0.670962 | + | 0.0479882i | 0.402664 | − | 0.915348i | \(-0.368084\pi\) |
0.268298 | + | 0.963336i | \(0.413539\pi\) | |||||||
\(464\) | −3.84568 | − | 5.98399i | −0.178531 | − | 0.277800i | ||||
\(465\) | −2.15652 | + | 2.52602i | −0.100006 | + | 0.117142i | ||||
\(466\) | −4.80050 | − | 3.08509i | −0.222379 | − | 0.142914i | ||||
\(467\) | −1.03374 | − | 2.77157i | −0.0478358 | − | 0.128253i | 0.910835 | − | 0.412771i | \(-0.135439\pi\) |
−0.958671 | + | 0.284518i | \(0.908166\pi\) | |||||||
\(468\) | −0.435000 | − | 6.08210i | −0.0201079 | − | 0.281145i | ||||
\(469\) | 0.914284 | + | 0.131454i | 0.0422177 | + | 0.00606999i | ||||
\(470\) | −7.32134 | − | 19.1973i | −0.337708 | − | 0.885507i | ||||
\(471\) | 3.11696 | − | 10.6154i | 0.143622 | − | 0.489132i | ||||
\(472\) | −2.29944 | − | 4.21112i | −0.105840 | − | 0.193832i | ||||
\(473\) | −33.6852 | − | 12.5639i | −1.54885 | − | 0.577691i | ||||
\(474\) | 0.471061 | − | 3.27630i | 0.0216365 | − | 0.150485i | ||||
\(475\) | 24.8621 | − | 22.1911i | 1.14075 | − | 1.01820i | ||||
\(476\) | 0.00237668 | − | 0.00520421i | 0.000108935 | − | 0.000238534i | ||||
\(477\) | −5.44303 | + | 1.18406i | −0.249219 | + | 0.0542143i | ||||
\(478\) | 3.51007 | + | 2.62761i | 0.160547 | + | 0.120184i | ||||
\(479\) | 2.51272 | − | 1.61483i | 0.114809 | − | 0.0737833i | −0.481976 | − | 0.876184i | \(-0.660081\pi\) |
0.596785 | + | 0.802401i | \(0.296444\pi\) | |||||||
\(480\) | −1.78017 | + | 1.35314i | −0.0812533 | + | 0.0617622i | ||||
\(481\) | 10.4497 | + | 35.5885i | 0.476466 | + | 1.62269i | ||||
\(482\) | 16.1137 | − | 16.1137i | 0.733957 | − | 0.733957i | ||||
\(483\) | −0.136584 | + | 0.384469i | −0.00621480 | + | 0.0174939i | ||||
\(484\) | 3.16198i | 0.143726i | ||||||||
\(485\) | −21.8372 | − | 13.8083i | −0.991575 | − | 0.627001i | ||||
\(486\) | 0.654861 | + | 0.755750i | 0.0297051 | + | 0.0342815i | ||||
\(487\) | 31.0659 | + | 6.75798i | 1.40773 | + | 0.306233i | 0.851309 | − | 0.524665i | \(-0.175809\pi\) |
0.556424 | + | 0.830899i | \(0.312173\pi\) | |||||||
\(488\) | −1.60395 | + | 2.14262i | −0.0726073 | + | 0.0969919i | ||||
\(489\) | −6.20743 | + | 9.65894i | −0.280709 | + | 0.436792i | ||||
\(490\) | −14.9701 | + | 4.51536i | −0.676282 | + | 0.203983i | ||||
\(491\) | −20.5241 | + | 23.6861i | −0.926239 | + | 1.06894i | 0.0712035 | + | 0.997462i | \(0.477316\pi\) |
−0.997442 | + | 0.0714749i | \(0.977229\pi\) | |||||||
\(492\) | −10.0264 | + | 7.50570i | −0.452027 | + | 0.338383i | ||||
\(493\) | −0.167167 | + | 0.448191i | −0.00752880 | + | 0.0201855i | ||||
\(494\) | 38.9947 | + | 11.4499i | 1.75445 | + | 0.515154i | ||||
\(495\) | 2.14456 | − | 5.88141i | 0.0963910 | − | 0.264350i | ||||
\(496\) | 0.617039 | + | 1.35113i | 0.0277059 | + | 0.0606674i | ||||
\(497\) | −0.336634 | − | 0.449691i | −0.0151001 | − | 0.0201714i | ||||
\(498\) | 9.90804 | − | 0.708637i | 0.443990 | − | 0.0317548i | ||||
\(499\) | −10.0614 | − | 4.59489i | −0.450410 | − | 0.205696i | 0.177277 | − | 0.984161i | \(-0.443271\pi\) |
−0.627687 | + | 0.778465i | \(0.715998\pi\) | |||||||
\(500\) | 8.07801 | + | 7.72954i | 0.361260 | + | 0.345675i | ||||
\(501\) | −3.00902 | − | 20.9282i | −0.134433 | − | 0.935001i | ||||
\(502\) | 0.703462 | − | 3.23376i | 0.0313970 | − | 0.144330i | ||||
\(503\) | 1.83527 | − | 25.6605i | 0.0818308 | − | 1.14414i | −0.776179 | − | 0.630512i | \(-0.782845\pi\) |
0.858010 | − | 0.513632i | \(-0.171701\pi\) | |||||||
\(504\) | −0.0816297 | + | 0.0239686i | −0.00363607 | + | 0.00106765i | ||||
\(505\) | −1.86549 | + | 29.0845i | −0.0830134 | + | 1.29424i | ||||
\(506\) | −13.2584 | + | 2.11857i | −0.589410 | + | 0.0941818i | ||||
\(507\) | −17.0986 | − | 17.0986i | −0.759377 | − | 0.759377i | ||||
\(508\) | 2.97942 | − | 5.45640i | 0.132190 | − | 0.242089i | ||||
\(509\) | 15.5800 | − | 13.5001i | 0.690570 | − | 0.598382i | −0.237233 | − | 0.971453i | \(-0.576241\pi\) |
0.927803 | + | 0.373071i | \(0.121695\pi\) | |||||||
\(510\) | 0.144588 | + | 0.0413036i | 0.00640248 | + | 0.00182895i | ||||
\(511\) | −1.09677 | + | 0.157691i | −0.0485181 | + | 0.00697585i | ||||
\(512\) | 0.212565 | + | 0.977147i | 0.00939415 | + | 0.0431842i | ||||
\(513\) | −6.24480 | + | 2.32919i | −0.275715 | + | 0.102836i | ||||
\(514\) | −14.0210 | − | 12.1493i | −0.618442 | − | 0.535883i | ||||
\(515\) | 18.1789 | + | 27.8352i | 0.801059 | + | 1.22656i | ||||
\(516\) | −11.6812 | + | 5.33460i | −0.514234 | + | 0.234843i | ||||
\(517\) | 22.5778 | − | 12.3284i | 0.992971 | − | 0.542203i | ||||
\(518\) | 0.454201 | − | 0.248012i | 0.0199564 | − | 0.0108970i | ||||
\(519\) | −16.6740 | + | 7.61475i | −0.731906 | + | 0.334250i | ||||
\(520\) | −2.80031 | + | 13.3441i | −0.122802 | + | 0.585176i | ||||
\(521\) | −4.84279 | − | 4.19630i | −0.212166 | − | 0.183843i | 0.542294 | − | 0.840189i | \(-0.317556\pi\) |
−0.754460 | + | 0.656346i | \(0.772101\pi\) | |||||||
\(522\) | 6.66470 | − | 2.48580i | 0.291706 | − | 0.108801i | ||||
\(523\) | 6.86678 | + | 31.5661i | 0.300264 | + | 1.38029i | 0.841881 | + | 0.539664i | \(0.181449\pi\) |
−0.541617 | + | 0.840625i | \(0.682188\pi\) | |||||||
\(524\) | −17.1693 | + | 2.46858i | −0.750046 | + | 0.107840i | ||||
\(525\) | 0.182375 | + | 0.384300i | 0.00795951 | + | 0.0167722i | ||||
\(526\) | −4.66006 | + | 4.03797i | −0.203188 | + | 0.176064i | ||||
\(527\) | 0.0478712 | − | 0.0876695i | 0.00208530 | − | 0.00381894i | ||||
\(528\) | −1.97965 | − | 1.97965i | −0.0861532 | − | 0.0861532i | ||||
\(529\) | 7.16734 | + | 21.8547i | 0.311624 | + | 0.950206i | ||||
\(530\) | 12.4301 | + | 0.797273i | 0.539929 | + | 0.0346313i | ||||
\(531\) | 4.60366 | − | 1.35176i | 0.199782 | − | 0.0586612i | ||||
\(532\) | 0.0404517 | − | 0.565589i | 0.00175380 | − | 0.0245214i | ||||
\(533\) | −16.2337 | + | 74.6249i | −0.703158 | + | 3.23237i | ||||
\(534\) | 1.66815 | + | 11.6023i | 0.0721881 | + | 0.502079i | ||||
\(535\) | −3.17167 | − | 20.9649i | −0.137123 | − | 0.906390i | ||||
\(536\) | 9.87606 | + | 4.51025i | 0.426581 | + | 0.194813i | ||||
\(537\) | 2.06518 | − | 0.147705i | 0.0891191 | − | 0.00637392i | ||||
\(538\) | 10.6949 | + | 14.2867i | 0.461091 | + | 0.615945i | ||||
\(539\) | −8.13269 | − | 17.8081i | −0.350300 | − | 0.767050i | ||||
\(540\) | −0.943815 | − | 2.02712i | −0.0406153 | − | 0.0872333i | ||||
\(541\) | −4.77165 | − | 1.40108i | −0.205149 | − | 0.0602373i | 0.177543 | − | 0.984113i | \(-0.443185\pi\) |
−0.382693 | + | 0.923876i | \(0.625003\pi\) | |||||||
\(542\) | −1.50918 | + | 4.04628i | −0.0648250 | + | 0.173803i | ||||
\(543\) | 9.06072 | − | 6.78277i | 0.388833 | − | 0.291077i | ||||
\(544\) | 0.0440384 | − | 0.0508230i | 0.00188813 | − | 0.00217902i | ||||
\(545\) | −8.34516 | − | 4.47752i | −0.357467 | − | 0.191796i | ||||
\(546\) | −0.280463 | + | 0.436410i | −0.0120027 | + | 0.0186766i | ||||
\(547\) | 22.4662 | − | 30.0113i | 0.960584 | − | 1.28319i | 0.00152121 | − | 0.999999i | \(-0.499516\pi\) |
0.959063 | − | 0.283192i | \(-0.0913933\pi\) | |||||||
\(548\) | −10.0783 | − | 2.19239i | −0.430522 | − | 0.0936544i | ||||
\(549\) | −1.75271 | − | 2.02274i | −0.0748040 | − | 0.0863284i | ||||
\(550\) | −8.22327 | + | 11.3282i | −0.350641 | + | 0.483037i | ||||
\(551\) | 47.4096i | 2.01972i | ||||||||
\(552\) | −2.81360 | + | 3.88377i | −0.119755 | + | 0.165304i | ||||
\(553\) | −0.199121 | + | 0.199121i | −0.00846751 | + | 0.00846751i | ||||
\(554\) | −3.66433 | − | 12.4796i | −0.155683 | − | 0.530207i | ||||
\(555\) | 8.23093 | + | 10.8285i | 0.349384 | + | 0.459644i | ||||
\(556\) | −4.34256 | + | 2.79080i | −0.184166 | + | 0.118356i | ||||
\(557\) | 7.99980 | + | 5.98858i | 0.338962 | + | 0.253744i | 0.755175 | − | 0.655523i | \(-0.227552\pi\) |
−0.416213 | + | 0.909267i | \(0.636643\pi\) | |||||||
\(558\) | −1.45141 | + | 0.315735i | −0.0614431 | + | 0.0133661i | ||||
\(559\) | −32.5285 | + | 71.2274i | −1.37581 | + | 3.01260i | ||||
\(560\) | 0.190230 | − | 0.00139765i | 0.00803869 | − | 5.90615e-5i | ||||
\(561\) | −0.0267939 | + | 0.186356i | −0.00113124 | + | 0.00786794i | ||||
\(562\) | −14.0195 | − | 5.22901i | −0.591378 | − | 0.220573i | ||||
\(563\) | 11.4553 | + | 20.9788i | 0.482782 | + | 0.884149i | 0.999606 | + | 0.0280579i | \(0.00893228\pi\) |
−0.516824 | + | 0.856092i | \(0.672886\pi\) | |||||||
\(564\) | 2.58869 | − | 8.81627i | 0.109004 | − | 0.371232i | ||||
\(565\) | −23.6069 | − | 10.5720i | −0.993151 | − | 0.444767i | ||||
\(566\) | 0.566273 | + | 0.0814178i | 0.0238022 | + | 0.00342225i | ||||
\(567\) | −0.00606924 | − | 0.0848591i | −0.000254884 | − | 0.00356375i | ||||
\(568\) | −2.30742 | − | 6.18644i | −0.0968172 | − | 0.259577i | ||||
\(569\) | −28.3082 | − | 18.1926i | −1.18674 | − | 0.762672i | −0.210127 | − | 0.977674i | \(-0.567388\pi\) |
−0.976614 | + | 0.215002i | \(0.931024\pi\) | |||||||
\(570\) | 14.8573 | − | 1.17239i | 0.622303 | − | 0.0491060i | ||||
\(571\) | −8.17949 | − | 12.7275i | −0.342301 | − | 0.532631i | 0.626837 | − | 0.779151i | \(-0.284349\pi\) |
−0.969138 | + | 0.246520i | \(0.920713\pi\) | |||||||
\(572\) | −17.0277 | − | 1.21785i | −0.711965 | − | 0.0509207i | ||||
\(573\) | 11.8167 | + | 6.45241i | 0.493650 | + | 0.269553i | ||||
\(574\) | 1.06554 | 0.0444747 | ||||||||
\(575\) | 21.3850 | + | 10.8482i | 0.891816 | + | 0.452399i | ||||
\(576\) | −1.00000 | −0.0416667 | ||||||||
\(577\) | −9.70344 | − | 5.29848i | −0.403960 | − | 0.220579i | 0.264406 | − | 0.964411i | \(-0.414824\pi\) |
−0.668366 | + | 0.743833i | \(0.733006\pi\) | |||||||
\(578\) | 16.9522 | + | 1.21244i | 0.705118 | + | 0.0504310i | ||||
\(579\) | −8.44676 | − | 13.1434i | −0.351035 | − | 0.546222i | ||||
\(580\) | −15.8563 | + | 1.25122i | −0.658396 | + | 0.0519541i | ||||
\(581\) | −0.710933 | − | 0.456889i | −0.0294945 | − | 0.0189549i | ||||
\(582\) | −4.03788 | − | 10.8260i | −0.167375 | − | 0.448751i | ||||
\(583\) | 1.11253 | + | 15.5552i | 0.0460764 | + | 0.644232i | ||||
\(584\) | −12.8916 | − | 1.85354i | −0.533459 | − | 0.0766999i | ||||
\(585\) | −12.4439 | − | 5.57279i | −0.514490 | − | 0.230407i | ||||
\(586\) | 4.29482 | − | 14.6268i | 0.177417 | − | 0.604228i | ||||
\(587\) | 15.9892 | + | 29.2820i | 0.659944 | + | 1.20860i | 0.966481 | + | 0.256738i | \(0.0826478\pi\) |
−0.306537 | + | 0.951859i | \(0.599170\pi\) | |||||||
\(588\) | −6.55187 | − | 2.44372i | −0.270194 | − | 0.100777i | ||||
\(589\) | 1.40891 | − | 9.79917i | 0.0580531 | − | 0.403768i | ||||
\(590\) | −10.7284 | + | 0.0788232i | −0.441681 | + | 0.00324510i | ||||
\(591\) | 3.37202 | − | 7.38369i | 0.138706 | − | 0.303724i | ||||
\(592\) | 5.94382 | − | 1.29300i | 0.244290 | − | 0.0531420i | ||||
\(593\) | 7.40430 | + | 5.54279i | 0.304058 | + | 0.227615i | 0.740401 | − | 0.672165i | \(-0.234636\pi\) |
−0.436343 | + | 0.899780i | \(0.643727\pi\) | |||||||
\(594\) | 2.35521 | − | 1.51360i | 0.0966356 | − | 0.0621039i | ||||
\(595\) | −0.00774162 | − | 0.0101848i | −0.000317375 | − | 0.000417534i | ||||
\(596\) | 4.10920 | + | 13.9947i | 0.168320 | + | 0.573244i | ||||
\(597\) | −8.85557 | + | 8.85557i | −0.362434 | + | 0.362434i | ||||
\(598\) | 2.54243 | + | 29.1325i | 0.103968 | + | 1.19132i | ||||
\(599\) | − | 8.55947i | − | 0.349730i | −0.984592 | − | 0.174865i | \(-0.944051\pi\) | ||
0.984592 | − | 0.174865i | \(-0.0559490\pi\) | |||||||
\(600\) | 0.784217 | + | 4.93812i | 0.0320155 | + | 0.201598i | ||||
\(601\) | 12.8400 | + | 14.8182i | 0.523755 | + | 0.604446i | 0.954567 | − | 0.297996i | \(-0.0963182\pi\) |
−0.430812 | + | 0.902442i | \(0.641773\pi\) | |||||||
\(602\) | 1.06754 | + | 0.232230i | 0.0435099 | + | 0.00946499i | ||||
\(603\) | −6.50648 | + | 8.69164i | −0.264964 | + | 0.353951i | ||||
\(604\) | 2.09966 | − | 3.26714i | 0.0854341 | − | 0.132938i | ||||
\(605\) | 6.23026 | + | 3.34280i | 0.253296 | + | 0.135904i | ||||
\(606\) | −8.53526 | + | 9.85021i | −0.346721 | + | 0.400138i | ||||
\(607\) | 5.71290 | − | 4.27662i | 0.231880 | − | 0.173583i | −0.477020 | − | 0.878893i | \(-0.658283\pi\) |
0.708899 | + | 0.705310i | \(0.249192\pi\) | |||||||
\(608\) | 2.32919 | − | 6.24480i | 0.0944611 | − | 0.253260i | ||||
\(609\) | −0.580647 | − | 0.170493i | −0.0235290 | − | 0.00690874i | ||||
\(610\) | 2.52609 | + | 5.42552i | 0.102278 | + | 0.219673i | ||||
\(611\) | −23.2748 | − | 50.9648i | −0.941599 | − | 2.06181i | ||||
\(612\) | 0.0403005 | + | 0.0538352i | 0.00162905 | + | 0.00217616i | ||||
\(613\) | 8.73616 | − | 0.624822i | 0.352850 | − | 0.0252363i | 0.106211 | − | 0.994344i | \(-0.466128\pi\) |
0.246639 | + | 0.969107i | \(0.420674\pi\) | |||||||
\(614\) | −2.19117 | − | 1.00067i | −0.0884283 | − | 0.0403839i | ||||
\(615\) | 4.18920 | + | 27.6907i | 0.168925 | + | 1.11660i | ||||
\(616\) | 0.0338969 | + | 0.235758i | 0.00136574 | + | 0.00949896i | ||||
\(617\) | 4.71429 | − | 21.6712i | 0.189790 | − | 0.872451i | −0.779475 | − | 0.626433i | \(-0.784514\pi\) |
0.969265 | − | 0.246018i | \(-0.0791222\pi\) | |||||||
\(618\) | −1.06066 | + | 14.8300i | −0.0426661 | + | 0.596550i | ||||
\(619\) | 28.2038 | − | 8.28139i | 1.13361 | − | 0.332857i | 0.339483 | − | 0.940612i | \(-0.389748\pi\) |
0.794124 | + | 0.607755i | \(0.207930\pi\) | |||||||
\(620\) | 3.31454 | + | 0.212597i | 0.133115 | + | 0.00853809i | ||||
\(621\) | −3.19694 | − | 3.57485i | −0.128289 | − | 0.143454i | ||||
\(622\) | 4.47392 | + | 4.47392i | 0.179388 | + | 0.179388i | ||||
\(623\) | 0.477918 | − | 0.875241i | 0.0191474 | − | 0.0350658i | ||||
\(624\) | −4.60828 | + | 3.99310i | −0.184479 | + | 0.159852i | ||||
\(625\) | 23.7700 | − | 7.74511i | 0.950800 | − | 0.309805i | ||||
\(626\) | 9.61112 | − | 1.38187i | 0.384138 | − | 0.0552307i | ||||
\(627\) | 3.96641 | + | 18.2333i | 0.158403 | + | 0.728168i | ||||
\(628\) | −10.3660 | + | 3.86631i | −0.413648 | + | 0.154283i | ||||
\(629\) | −0.309148 | − | 0.267878i | −0.0123265 | − | 0.0106810i | ||||
\(630\) | −0.0390706 | + | 0.186180i | −0.00155661 | + | 0.00741759i | ||||
\(631\) | 26.6559 | − | 12.1733i | 1.06116 | − | 0.484613i | 0.193150 | − | 0.981169i | \(-0.438129\pi\) |
0.868005 | + | 0.496556i | \(0.165402\pi\) | |||||||
\(632\) | −2.90511 | + | 1.58631i | −0.115559 | + | 0.0631000i | ||||
\(633\) | 20.2438 | − | 11.0540i | 0.804619 | − | 0.439355i | ||||
\(634\) | 1.78170 | − | 0.813674i | 0.0707602 | − | 0.0323151i | ||||
\(635\) | −7.60133 | − | 11.6390i | −0.301650 | − | 0.461879i | ||||
\(636\) | 4.20978 | + | 3.64779i | 0.166928 | + | 0.144644i | ||||
\(637\) | −39.9509 | + | 14.9009i | −1.58291 | + | 0.590395i | ||||
\(638\) | −4.23311 | − | 19.4593i | −0.167591 | − | 0.770401i | ||||
\(639\) | 6.53553 | − | 0.939668i | 0.258542 | − | 0.0371727i | ||||
\(640\) | 2.15006 | + | 0.614193i | 0.0849887 | + | 0.0242781i | ||||
\(641\) | 30.8845 | − | 26.7615i | 1.21986 | − | 1.05702i | 0.223252 | − | 0.974761i | \(-0.428333\pi\) |
0.996611 | − | 0.0822563i | \(-0.0262126\pi\) | |||||||
\(642\) | 4.54446 | − | 8.32255i | 0.179355 | − | 0.328465i | ||||
\(643\) | −18.2296 | − | 18.2296i | −0.718904 | − | 0.718904i | 0.249477 | − | 0.968381i | \(-0.419741\pi\) |
−0.968381 | + | 0.249477i | \(0.919741\pi\) | |||||||
\(644\) | 0.389635 | − | 0.121062i | 0.0153538 | − | 0.00477052i | ||||
\(645\) | −1.83800 | + | 28.6559i | −0.0723713 | + | 1.12832i | ||||
\(646\) | −0.430058 | + | 0.126276i | −0.0169204 | + | 0.00496827i | ||||
\(647\) | 1.16652 | − | 16.3101i | 0.0458607 | − | 0.641216i | −0.921591 | − | 0.388162i | \(-0.873110\pi\) |
0.967452 | − | 0.253054i | \(-0.0814352\pi\) | |||||||
\(648\) | 0.212565 | − | 0.977147i | 0.00835035 | − | 0.0383860i | ||||
\(649\) | −1.91168 | − | 13.2960i | −0.0750400 | − | 0.521914i | ||||
\(650\) | 23.3323 | + | 19.6248i | 0.915168 | + | 0.769748i | ||||
\(651\) | 0.114948 | + | 0.0524951i | 0.00450518 | + | 0.00205744i | ||||
\(652\) | 11.4524 | − | 0.819088i | 0.448509 | − | 0.0320780i | ||||
\(653\) | −2.29936 | − | 3.07158i | −0.0899809 | − | 0.120200i | 0.753292 | − | 0.657687i | \(-0.228465\pi\) |
−0.843273 | + | 0.537486i | \(0.819374\pi\) | |||||||
\(654\) | −1.75942 | − | 3.85259i | −0.0687987 | − | 0.150648i | ||||
\(655\) | −13.2872 | + | 36.4397i | −0.519172 | + | 1.42382i | ||||
\(656\) | 12.0172 | + | 3.52858i | 0.469194 | + | 0.137768i | ||||
\(657\) | 4.55149 | − | 12.2030i | 0.177571 | − | 0.476085i | ||||
\(658\) | −0.625796 | + | 0.468465i | −0.0243961 | + | 0.0182627i | ||||
\(659\) | −3.67190 | + | 4.23760i | −0.143037 | + | 0.165073i | −0.822748 | − | 0.568407i | \(-0.807560\pi\) |
0.679711 | + | 0.733480i | \(0.262105\pi\) | |||||||
\(660\) | −5.99350 | + | 1.80779i | −0.233297 | + | 0.0703679i | ||||
\(661\) | −8.12493 | + | 12.6426i | −0.316023 | + | 0.491741i | −0.962533 | − | 0.271164i | \(-0.912591\pi\) |
0.646510 | + | 0.762905i | \(0.276228\pi\) | |||||||
\(662\) | −13.3677 | + | 17.8572i | −0.519552 | + | 0.694040i | ||||
\(663\) | 0.400686 | + | 0.0871638i | 0.0155613 | + | 0.00338516i | ||||
\(664\) | −6.50496 | − | 7.50712i | −0.252441 | − | 0.291333i | ||||
\(665\) | −1.07165 | − | 0.677637i | −0.0415570 | − | 0.0262776i | ||||
\(666\) | 6.08284i | 0.235705i | ||||||||
\(667\) | −31.7723 | + | 12.4203i | −1.23023 | + | 0.480915i | ||||
\(668\) | −14.9506 | + | 14.9506i | −0.578457 | + | 0.578457i | ||||
\(669\) | −3.64810 | − | 12.4243i | −0.141044 | − | 0.480350i | ||||
\(670\) | 19.3277 | − | 14.6913i | 0.746694 | − | 0.567576i | ||||
\(671\) | −6.30365 | + | 4.05111i | −0.243350 | + | 0.156391i | ||||
\(672\) | 0.0681067 | + | 0.0509840i | 0.00262727 | + | 0.00196675i | ||||
\(673\) | 5.84392 | − | 1.27127i | 0.225267 | − | 0.0490037i | −0.0985152 | − | 0.995136i | \(-0.531409\pi\) |
0.323782 | + | 0.946132i | \(0.395046\pi\) | |||||||
\(674\) | 9.52164 | − | 20.8495i | 0.366760 | − | 0.803092i | ||||
\(675\) | −4.99196 | − | 0.283377i | −0.192141 | − | 0.0109072i | ||||
\(676\) | −3.44133 | + | 23.9350i | −0.132359 | + | 0.920577i | ||||
\(677\) | 18.1199 | + | 6.75836i | 0.696403 | + | 0.259745i | 0.672637 | − | 0.739973i | \(-0.265162\pi\) |
0.0237658 | + | 0.999718i | \(0.492434\pi\) | |||||||
\(678\) | −5.54379 | − | 10.1527i | −0.212908 | − | 0.389912i | ||||
\(679\) | −0.276945 | + | 0.943188i | −0.0106282 | + | 0.0361962i | ||||
\(680\) | −0.0535834 | − | 0.140501i | −0.00205483 | − | 0.00538798i | ||||
\(681\) | 6.23561 | + | 0.896546i | 0.238949 | + | 0.0343557i | ||||
\(682\) | 0.296662 | + | 4.14787i | 0.0113598 | + | 0.158830i | ||||
\(683\) | 4.74326 | + | 12.7172i | 0.181496 | + | 0.486610i | 0.995556 | − | 0.0941712i | \(-0.0300201\pi\) |
−0.814060 | + | 0.580781i | \(0.802747\pi\) | |||||||
\(684\) | 5.60698 | + | 3.60339i | 0.214388 | + | 0.137779i | ||||
\(685\) | −14.9744 | + | 17.5402i | −0.572143 | + | 0.670175i | ||||
\(686\) | 0.643604 | + | 1.00147i | 0.0245729 | + | 0.0382362i | ||||
\(687\) | 16.6709 | + | 1.19232i | 0.636033 | + | 0.0454900i | ||||
\(688\) | 11.2708 | + | 6.15434i | 0.429696 | + | 0.234632i | ||||
\(689\) | 33.9658 | 1.29400 | ||||||||
\(690\) | 4.67797 | + | 9.64969i | 0.178087 | + | 0.367358i | ||||
\(691\) | −1.61347 | −0.0613792 | −0.0306896 | − | 0.999529i | \(-0.509770\pi\) | ||||
−0.0306896 | + | 0.999529i | \(0.509770\pi\) | |||||||
\(692\) | 16.0883 | + | 8.78485i | 0.611584 | + | 0.333950i | ||||
\(693\) | −0.237575 | − | 0.0169917i | −0.00902474 | − | 0.000645462i | ||||
\(694\) | −4.90910 | − | 7.63872i | −0.186347 | − | 0.289962i | ||||
\(695\) | 0.908006 | + | 11.5068i | 0.0344426 | + | 0.436480i | ||||
\(696\) | −5.98399 | − | 3.84568i | −0.226823 | − | 0.145770i | ||||
\(697\) | −0.294339 | − | 0.789154i | −0.0111489 | − | 0.0298913i | ||||
\(698\) | 1.18705 | + | 16.5971i | 0.0449304 | + | 0.628209i | ||||
\(699\) | −5.64828 | − | 0.812100i | −0.213638 | − | 0.0307165i | ||||
\(700\) | 0.198355 | − | 0.376301i | 0.00749710 | − | 0.0142229i | ||||
\(701\) | −6.27338 | + | 21.3652i | −0.236942 | + | 0.806951i | 0.752066 | + | 0.659088i | \(0.229058\pi\) |
−0.989008 | + | 0.147863i | \(0.952760\pi\) | |||||||
\(702\) | −2.92228 | − | 5.35176i | −0.110295 | − | 0.201989i | ||||
\(703\) | −37.9861 | − | 14.1681i | −1.43267 | − | 0.534359i | ||||
\(704\) | −0.398431 | + | 2.77115i | −0.0150164 | + | 0.104442i | ||||
\(705\) | −14.6346 | − | 14.4211i | −0.551170 | − | 0.543130i | ||||
\(706\) | 15.0211 | − | 32.8917i | 0.565328 | − | 1.23790i | ||||
\(707\) | 1.08351 | − | 0.235704i | 0.0407497 | − | 0.00886455i | ||||
\(708\) | −3.84101 | − | 2.87534i | −0.144354 | − | 0.108062i | ||||
\(709\) | −19.2361 | + | 12.3623i | −0.722426 | + | 0.464275i | −0.849480 | − | 0.527621i | \(-0.823084\pi\) |
0.127054 | + | 0.991896i | \(0.459448\pi\) | |||||||
\(710\) | −14.6289 | − | 1.99374i | −0.549014 | − | 0.0748236i | ||||
\(711\) | −0.932532 | − | 3.17591i | −0.0349727 | − | 0.119106i | ||||
\(712\) | 8.28840 | − | 8.28840i | 0.310621 | − | 0.310621i | ||||
\(713\) | 6.93617 | − | 1.62296i | 0.259762 | − | 0.0607805i | ||||
\(714\) | − | 0.00572122i | − | 0.000214111i | ||||||
\(715\) | −20.4011 | + | 32.2634i | −0.762957 | + | 1.20658i | ||||
\(716\) | −1.35586 | − | 1.56475i | −0.0506709 | − | 0.0584773i | ||||
\(717\) | 4.28442 | + | 0.932019i | 0.160005 | + | 0.0348069i | ||||
\(718\) | −4.65137 | + | 6.21350i | −0.173587 | + | 0.231886i | ||||
\(719\) | −12.3093 | + | 19.1536i | −0.459059 | + | 0.714309i | −0.991204 | − | 0.132344i | \(-0.957750\pi\) |
0.532145 | + | 0.846653i | \(0.321386\pi\) | |||||||
\(720\) | −1.05719 | + | 1.97037i | −0.0393990 | + | 0.0734314i | ||||
\(721\) | 0.828332 | − | 0.955946i | 0.0308487 | − | 0.0356013i | ||||
\(722\) | −20.3519 | + | 15.2352i | −0.757419 | + | 0.566997i | ||||
\(723\) | 7.96364 | − | 21.3513i | 0.296171 | − | 0.794065i | ||||
\(724\) | −10.8598 | − | 3.18872i | −0.403600 | − | 0.118508i | ||||
\(725\) | −14.2977 | + | 32.5655i | −0.531002 | + | 1.20945i | ||||
\(726\) | 1.31353 | + | 2.87623i | 0.0487498 | + | 0.106747i | ||||
\(727\) | 31.7555 | + | 42.4203i | 1.17775 | + | 1.57328i | 0.737403 | + | 0.675454i | \(0.236052\pi\) |
0.440343 | + | 0.897830i | \(0.354857\pi\) | |||||||
\(728\) | 0.517439 | − | 0.0370080i | 0.0191776 | − | 0.00137161i | ||||
\(729\) | 0.909632 | + | 0.415415i | 0.0336901 | + | 0.0153857i | ||||
\(730\) | −17.2810 | + | 23.4417i | −0.639598 | + | 0.867618i | ||||
\(731\) | −0.122900 | − | 0.854790i | −0.00454563 | − | 0.0316155i | ||||
\(732\) | −0.568924 | + | 2.61530i | −0.0210280 | + | 0.0966643i | ||||
\(733\) | 1.41192 | − | 19.7412i | 0.0521504 | − | 0.729158i | −0.902361 | − | 0.430982i | \(-0.858167\pi\) |
0.954511 | − | 0.298176i | \(-0.0963782\pi\) | |||||||
\(734\) | 8.93267 | − | 2.62287i | 0.329711 | − | 0.0968119i | ||||
\(735\) | −11.7416 | + | 10.3261i | −0.433094 | + | 0.380885i | ||||
\(736\) | 4.79524 | − | 0.0750563i | 0.176755 | − | 0.00276661i | ||||
\(737\) | 21.4935 | + | 21.4935i | 0.791722 | + | 0.791722i | ||||
\(738\) | −6.00239 | + | 10.9926i | −0.220951 | + | 0.404641i | ||||
\(739\) | 36.0018 | − | 31.1957i | 1.32435 | − | 1.14755i | 0.346541 | − | 0.938035i | \(-0.387356\pi\) |
0.977805 | − | 0.209518i | \(-0.0671894\pi\) | |||||||
\(740\) | 3.73604 | − | 13.0785i | 0.137339 | − | 0.480774i | ||||
\(741\) | 40.2273 | − | 5.78381i | 1.47779 | − | 0.212473i | ||||
\(742\) | −0.100735 | − | 0.463071i | −0.00369809 | − | 0.0169999i | ||||
\(743\) | 39.1934 | − | 14.6184i | 1.43787 | − | 0.536296i | 0.494830 | − | 0.868990i | \(-0.335230\pi\) |
0.943035 | + | 0.332693i | \(0.107957\pi\) | |||||||
\(744\) | 1.12256 | + | 0.972701i | 0.0411549 | + | 0.0356609i | ||||
\(745\) | 31.9189 | + | 6.69830i | 1.16942 | + | 0.245407i | ||||
\(746\) | −17.5930 | + | 8.03447i | −0.644127 | + | 0.294163i | ||||
\(747\) | 8.71829 | − | 4.76055i | 0.318986 | − | 0.174179i | ||||
\(748\) | 0.165242 | − | 0.0902292i | 0.00604186 | − | 0.00329911i | ||||
\(749\) | −0.733825 | + | 0.335127i | −0.0268134 | + | 0.0122453i | ||||
\(750\) | 10.5590 | + | 3.67531i | 0.385560 | + | 0.134203i | ||||
\(751\) | 19.7683 | + | 17.1293i | 0.721354 | + | 0.625057i | 0.936150 | − | 0.351602i | \(-0.114363\pi\) |
−0.214795 | + | 0.976659i | \(0.568908\pi\) | |||||||
\(752\) | −8.60913 | + | 3.21104i | −0.313943 | + | 0.117095i | ||||
\(753\) | −0.703462 | − | 3.23376i | −0.0256356 | − | 0.117845i | ||||
\(754\) | −42.9321 | + | 6.17271i | −1.56350 | + | 0.224797i | ||||
\(755\) | −4.21774 | − | 7.59108i | −0.153499 | − | 0.276268i | ||||
\(756\) | −0.0642960 | + | 0.0557128i | −0.00233842 | + | 0.00202626i | ||||
\(757\) | 21.6046 | − | 39.5659i | 0.785232 | − | 1.43805i | −0.110699 | − | 0.993854i | \(-0.535309\pi\) |
0.895932 | − | 0.444192i | \(-0.146509\pi\) | |||||||
\(758\) | −16.4542 | − | 16.4542i | −0.597645 | − | 0.597645i | ||||
\(759\) | −11.1802 | + | 7.43487i | −0.405816 | + | 0.269869i | ||||
\(760\) | −9.84218 | − | 11.1913i | −0.357014 | − | 0.405950i | ||||
\(761\) | −39.2796 | + | 11.5335i | −1.42388 | + | 0.418090i | −0.900816 | − | 0.434202i | \(-0.857031\pi\) |
−0.523067 | + | 0.852291i | \(0.675212\pi\) | |||||||
\(762\) | 0.443505 | − | 6.20101i | 0.0160665 | − | 0.224639i | ||||
\(763\) | −0.0765923 | + | 0.352089i | −0.00277283 | + | 0.0127465i | ||||
\(764\) | −1.91607 | − | 13.3265i | −0.0693209 | − | 0.482137i | ||||
\(765\) | 0.148680 | − | 0.0224931i | 0.00537555 | − | 0.000813241i | ||||
\(766\) | −9.89654 | − | 4.51960i | −0.357577 | − | 0.163300i | ||||
\(767\) | −29.1820 | + | 2.08714i | −1.05370 | + | 0.0753621i | ||||
\(768\) | 0.599278 | + | 0.800541i | 0.0216246 | + | 0.0288870i | ||||
\(769\) | −10.9049 | − | 23.8784i | −0.393240 | − | 0.861075i | −0.997911 | − | 0.0646003i | \(-0.979423\pi\) |
0.604671 | − | 0.796475i | \(-0.293305\pi\) | |||||||
\(770\) | 0.500366 | + | 0.182451i | 0.0180319 | + | 0.00657506i | ||||
\(771\) | −17.8010 | − | 5.22684i | −0.641087 | − | 0.188240i | ||||
\(772\) | −5.45989 | + | 14.6385i | −0.196506 | + | 0.526852i | ||||
\(773\) | −2.42043 | + | 1.81191i | −0.0870569 | + | 0.0651700i | −0.641920 | − | 0.766772i | \(-0.721862\pi\) |
0.554863 | + | 0.831942i | \(0.312771\pi\) | |||||||
\(774\) | −8.40948 | + | 9.70505i | −0.302272 | + | 0.348841i | ||||
\(775\) | 3.92298 | − | 6.30612i | 0.140918 | − | 0.226523i | ||||
\(776\) | −6.24682 | + | 9.72025i | −0.224248 | + | 0.348936i | ||||
\(777\) | 0.310128 | − | 0.414282i | 0.0111258 | − | 0.0148623i | ||||
\(778\) | 26.4196 | + | 5.74723i | 0.947188 | + | 0.206048i | ||||
\(779\) | −54.6656 | − | 63.0875i | −1.95860 | − | 2.26034i | ||||
\(780\) | 2.99607 | + | 13.3015i | 0.107277 | + | 0.476269i | ||||
\(781\) | − | 18.4853i | − | 0.661458i | ||||||
\(782\) | −0.197291 | − | 0.255128i | −0.00705513 | − | 0.00912336i | ||||
\(783\) | 5.02978 | − | 5.02978i | 0.179750 | − | 0.179750i | ||||
\(784\) | 1.97009 | + | 6.70951i | 0.0703603 | + | 0.239625i | ||||
\(785\) | −3.34070 | + | 24.5122i | −0.119235 | + | 0.874880i | ||||
\(786\) | −14.5923 | + | 9.37790i | −0.520490 | + | 0.334498i | ||||
\(787\) | −26.7399 | − | 20.0173i | −0.953176 | − | 0.713539i | 0.00491922 | − | 0.999988i | \(-0.498434\pi\) |
−0.958095 | + | 0.286449i | \(0.907525\pi\) | |||||||
\(788\) | −7.93172 | + | 1.72544i | −0.282556 | + | 0.0614663i | ||||
\(789\) | −2.56151 | + | 5.60892i | −0.0911921 | + | 0.199683i | ||||
\(790\) | 0.0543775 | + | 7.40117i | 0.00193466 | + | 0.263322i | ||||
\(791\) | −0.140056 | + | 0.974111i | −0.00497982 | + | 0.0346354i | ||||
\(792\) | −2.62313 | − | 0.978376i | −0.0932088 | − | 0.0347651i | ||||
\(793\) | 7.82140 | + | 14.3238i | 0.277746 | + | 0.508654i | ||||
\(794\) | −7.00752 | + | 23.8654i | −0.248688 | + | 0.846952i | ||||
\(795\) | 11.6380 | − | 4.43842i | 0.412758 | − | 0.157415i | ||||
\(796\) | 12.3962 | + | 1.78230i | 0.439371 | + | 0.0631721i | ||||
\(797\) | −2.58514 | − | 36.1450i | −0.0915705 | − | 1.28032i | −0.810706 | − | 0.585453i | \(-0.800917\pi\) |
0.719136 | − | 0.694869i | \(-0.244538\pi\) | |||||||
\(798\) | −0.198158 | − | 0.531282i | −0.00701471 | − | 0.0188072i | ||||
\(799\) | 0.519819 | + | 0.334068i | 0.0183899 | + | 0.0118185i | ||||
\(800\) | 3.48320 | − | 3.58710i | 0.123150 | − | 0.126823i | ||||
\(801\) | 6.33716 | + | 9.86081i | 0.223913 | + | 0.348415i | ||||
\(802\) | −7.78463 | − | 0.556768i | −0.274885 | − | 0.0196602i | ||||
\(803\) | −32.0029 | − | 17.4749i | −1.12936 | − | 0.616677i | ||||
\(804\) | 10.8572 | 0.382904 | ||||||||
\(805\) | 0.173379 | − | 0.895711i | 0.00611082 | − | 0.0315697i | ||||
\(806\) | 9.05715 | 0.319025 | ||||||||
\(807\) | 15.6634 | + | 8.55285i | 0.551377 | + | 0.301074i | ||||
\(808\) | 13.0005 | + | 0.929813i | 0.457356 | + | 0.0327107i | ||||
\(809\) | 14.3096 | + | 22.2661i | 0.503098 | + | 0.782836i | 0.996196 | − | 0.0871377i | \(-0.0277720\pi\) |
−0.493098 | + | 0.869974i | \(0.664136\pi\) | |||||||
\(810\) | −1.70062 | − | 1.45186i | −0.0597537 | − | 0.0510131i | ||||
\(811\) | −17.1129 | − | 10.9978i | −0.600915 | − | 0.386184i | 0.204526 | − | 0.978861i | \(-0.434435\pi\) |
−0.805440 | + | 0.592677i | \(0.798071\pi\) | |||||||
\(812\) | 0.211482 | + | 0.567005i | 0.00742156 | + | 0.0198980i | ||||
\(813\) | 0.308083 | + | 4.30756i | 0.0108049 | + | 0.151073i | ||||
\(814\) | 16.8565 | + | 2.42359i | 0.590818 | + | 0.0849469i | ||||
\(815\) | 10.4934 | − | 23.4313i | 0.367566 | − | 0.820763i | ||||
\(816\) | 0.0189461 | − | 0.0645244i | 0.000663246 | − | 0.00225881i | ||||
\(817\) | −41.0189 | − | 75.1204i | −1.43507 | − | 2.62813i | ||||
\(818\) | 16.5124 | + | 6.15881i | 0.577343 | + | 0.215338i | ||||
\(819\) | −0.0738274 | + | 0.513481i | −0.00257974 | + | 0.0179425i | ||||
\(820\) | 19.6571 | − | 19.9480i | 0.686454 | − | 0.696616i | ||||
\(821\) | −2.88224 | + | 6.31122i | −0.100591 | + | 0.220263i | −0.953236 | − | 0.302227i | \(-0.902270\pi\) |
0.852645 | + | 0.522491i | \(0.174997\pi\) | |||||||
\(822\) | −10.0783 | + | 2.19239i | −0.351520 | + | 0.0764685i | ||||
\(823\) | 16.2935 | + | 12.1972i | 0.567957 | + | 0.425167i | 0.844284 | − | 0.535897i | \(-0.180026\pi\) |
−0.276327 | + | 0.961064i | \(0.589117\pi\) | |||||||
\(824\) | 12.5077 | − | 8.03819i | 0.435725 | − | 0.280024i | ||||
\(825\) | −2.77424 | + | 13.7206i | −0.0965865 | + | 0.477689i | ||||
\(826\) | 0.115002 | + | 0.391660i | 0.00400143 | + | 0.0136276i | ||||
\(827\) | 19.2297 | − | 19.2297i | 0.668682 | − | 0.668682i | −0.288729 | − | 0.957411i | \(-0.593233\pi\) |
0.957411 | + | 0.288729i | \(0.0932326\pi\) | |||||||
\(828\) | −0.945961 | + | 4.70161i | −0.0328744 | + | 0.163392i | ||||
\(829\) | − | 14.9963i | − | 0.520842i | −0.965495 | − | 0.260421i | \(-0.916139\pi\) | ||
0.965495 | − | 0.260421i | \(-0.0838613\pi\) | |||||||
\(830\) | −21.6688 | + | 4.88075i | −0.752134 | + | 0.169413i | ||||
\(831\) | −8.51740 | − | 9.82960i | −0.295465 | − | 0.340985i | ||||
\(832\) | 5.95828 | + | 1.29615i | 0.206566 | + | 0.0449358i | ||||
\(833\) | 0.281812 | − | 0.376457i | 0.00976420 | − | 0.0130434i | ||||
\(834\) | −2.79080 | + | 4.34256i | −0.0966374 | + | 0.150371i | ||||
\(835\) | 13.6527 | + | 45.2638i | 0.472470 | + | 1.56642i | ||||
\(836\) | 12.2195 | − | 14.1021i | 0.422621 | − | 0.487731i | ||||
\(837\) | −1.18909 | + | 0.890140i | −0.0411009 | + | 0.0307677i | ||||
\(838\) | 2.69580 | − | 7.22771i | 0.0931248 | − | 0.249677i | ||||
\(839\) | −1.53336 | − | 0.450235i | −0.0529374 | − | 0.0155438i | 0.255157 | − | 0.966900i | \(-0.417873\pi\) |
−0.308094 | + | 0.951356i | \(0.599691\pi\) | |||||||
\(840\) | 0.172459 | − | 0.0802958i | 0.00595040 | − | 0.00277047i | ||||
\(841\) | −8.97189 | − | 19.6457i | −0.309376 | − | 0.677438i | ||||
\(842\) | −2.71050 | − | 3.62081i | −0.0934101 | − | 0.124781i | ||||
\(843\) | −14.9248 | + | 1.06744i | −0.514038 | + | 0.0367647i | ||||
\(844\) | −20.9808 | − | 9.58162i | −0.722189 | − | 0.329813i | ||||
\(845\) | 43.5227 | + | 32.0844i | 1.49723 | + | 1.10374i | ||||
\(846\) | −1.30766 | − | 9.09494i | −0.0449581 | − | 0.312691i | ||||
\(847\) | 0.0571817 | − | 0.262860i | 0.00196479 | − | 0.00903198i | ||||
\(848\) | 0.397383 | − | 5.55614i | 0.0136462 | − | 0.190799i | ||||
\(849\) | 0.548923 | − | 0.161178i | 0.0188390 | − | 0.00553162i | ||||
\(850\) | −0.333487 | − | 0.0429568i | −0.0114385 | − | 0.00147341i | ||||
\(851\) | −0.456555 | − | 29.1687i | −0.0156505 | − | 0.999889i | ||||
\(852\) | −4.66884 | − | 4.66884i | −0.159952 | − | 0.159952i | ||||
\(853\) | 0.830307 | − | 1.52059i | 0.0284292 | − | 0.0520641i | −0.863078 | − | 0.505070i | \(-0.831467\pi\) |
0.891507 | + | 0.453006i | \(0.149648\pi\) | |||||||
\(854\) | 0.172086 | − | 0.149114i | 0.00588867 | − | 0.00510256i | ||||
\(855\) | 13.0276 | − | 7.23838i | 0.445536 | − | 0.247547i | ||||
\(856\) | −9.38594 | + | 1.34949i | −0.320805 | + | 0.0461248i | ||||
\(857\) | 0.920897 | + | 4.23330i | 0.0314572 | + | 0.144607i | 0.990197 | − | 0.139679i | \(-0.0446072\pi\) |
−0.958740 | + | 0.284286i | \(0.908244\pi\) | |||||||
\(858\) | −15.9949 | + | 5.96578i | −0.546056 | + | 0.203668i | ||||
\(859\) | 10.0202 | + | 8.68255i | 0.341885 | + | 0.296245i | 0.808831 | − | 0.588041i | \(-0.200101\pi\) |
−0.466947 | + | 0.884286i | \(0.654646\pi\) | |||||||
\(860\) | 24.0417 | − | 15.7014i | 0.819814 | − | 0.535414i | ||||
\(861\) | 0.969248 | − | 0.442641i | 0.0330319 | − | 0.0150852i | ||||
\(862\) | −16.0998 | + | 8.79117i | −0.548362 | + | 0.299428i | ||||
\(863\) | −40.9173 | + | 22.3425i | −1.39284 | + | 0.760549i | −0.988090 | − | 0.153877i | \(-0.950824\pi\) |
−0.404752 | + | 0.914427i | \(0.632642\pi\) | |||||||
\(864\) | −0.909632 | + | 0.415415i | −0.0309463 | + | 0.0141327i | ||||
\(865\) | 34.3177 | − | 22.4126i | 1.16684 | − | 0.762051i | ||||
\(866\) | 9.75370 | + | 8.45163i | 0.331444 | + | 0.287198i | ||||
\(867\) | 15.9239 | − | 5.93931i | 0.540804 | − | 0.201710i | ||||
\(868\) | −0.0268614 | − | 0.123480i | −0.000911736 | − | 0.00419118i | ||||
\(869\) | −9.17248 | + | 1.31880i | −0.311155 | + | 0.0447374i | ||||
\(870\) | −13.9036 | + | 7.72509i | −0.471376 | + | 0.261905i | ||||
\(871\) | 50.0331 | − | 43.3539i | 1.69531 | − | 1.46899i | ||||
\(872\) | −2.02978 | + | 3.71726i | −0.0687369 | + | 0.125882i | ||||
\(873\) | −8.17025 | − | 8.17025i | −0.276521 | − | 0.276521i | ||||
\(874\) | −27.1573 | − | 16.8583i | −0.918610 | − | 0.570240i | ||||
\(875\) | −0.531755 | − | 0.788653i | −0.0179766 | − | 0.0266613i | ||||
\(876\) | −12.4966 | + | 3.66934i | −0.422222 | + | 0.123976i | ||||
\(877\) | 0.387282 | − | 5.41492i | 0.0130776 | − | 0.182849i | −0.986715 | − | 0.162463i | \(-0.948056\pi\) |
0.999792 | − | 0.0203855i | \(-0.00648935\pi\) | |||||||
\(878\) | 3.44511 | − | 15.8369i | 0.116267 | − | 0.534471i | ||||
\(879\) | −2.16949 | − | 15.0891i | −0.0731751 | − | 0.508944i | ||||
\(880\) | 5.03898 | + | 3.71468i | 0.169864 | + | 0.125222i | ||||
\(881\) | −23.3278 | − | 10.6534i | −0.785932 | − | 0.358923i | −0.0183154 | − | 0.999832i | \(-0.505830\pi\) |
−0.767617 | + | 0.640909i | \(0.778558\pi\) | |||||||
\(882\) | −6.97495 | + | 0.498858i | −0.234859 | + | 0.0167974i | ||||
\(883\) | −28.7261 | − | 38.3736i | −0.966711 | − | 1.29137i | −0.956593 | − | 0.291426i | \(-0.905870\pi\) |
−0.0101175 | − | 0.999949i | \(-0.503221\pi\) | |||||||
\(884\) | −0.170344 | − | 0.373001i | −0.00572928 | − | 0.0125454i | ||||
\(885\) | −9.72615 | + | 4.52844i | −0.326941 | + | 0.152222i | ||||
\(886\) | 18.8071 | + | 5.52226i | 0.631837 | + | 0.185524i | ||||
\(887\) | −11.7219 | + | 31.4277i | −0.393583 | + | 1.05524i | 0.577478 | + | 0.816406i | \(0.304037\pi\) |
−0.971061 | + | 0.238831i | \(0.923236\pi\) | |||||||
\(888\) | 4.86956 | − | 3.64531i | 0.163412 | − | 0.122329i | ||||
\(889\) | −0.346358 | + | 0.399719i | −0.0116165 | + | 0.0134061i | ||||
\(890\) | −7.56884 | − | 25.0936i | −0.253708 | − | 0.841139i | ||||
\(891\) | 1.51360 | − | 2.35521i | 0.0507076 | − | 0.0789026i | ||||
\(892\) | −7.75992 | + | 10.3660i | −0.259822 | + | 0.347081i | ||||
\(893\) | 59.8419 | + | 13.0178i | 2.00253 | + | 0.435624i | ||||
\(894\) | 9.55146 | + | 11.0230i | 0.319448 | + | 0.368663i | ||||
\(895\) | −4.51652 | + | 1.01732i | −0.150971 | + | 0.0340052i | ||||
\(896\) | − | 0.0850758i | − | 0.00284218i | ||||||
\(897\) | 14.4148 | + | 25.4437i | 0.481295 | + | 0.849540i | ||||
\(898\) | 6.82278 | − | 6.82278i | 0.227679 | − | 0.227679i | ||||
\(899\) | 2.97668 | + | 10.1376i | 0.0992777 | + | 0.338109i | ||||
\(900\) | 2.76472 | + | 4.16609i | 0.0921572 | + | 0.138870i | ||||
\(901\) | −0.315131 | + | 0.202522i | −0.0104985 | + | 0.00674699i | ||||
\(902\) | 28.0705 | + | 21.0133i | 0.934645 | + | 0.699666i | ||||
\(903\) | 1.06754 | − | 0.232230i | 0.0355257 | − | 0.00772813i | ||||
\(904\) | −4.80538 | + | 10.5223i | −0.159825 | + | 0.349967i | ||||
\(905\) | −17.7638 | + | 18.0267i | −0.590487 | + | 0.599228i | ||||
\(906\) | 0.552702 | − | 3.84413i | 0.0183623 | − | 0.127713i | ||||
\(907\) | −26.5334 | − | 9.89644i | −0.881027 | − | 0.328606i | −0.132082 | − | 0.991239i | \(-0.542166\pi\) |
−0.748944 | + | 0.662633i | \(0.769439\pi\) | |||||||
\(908\) | −3.01914 | − | 5.52914i | −0.100194 | − | 0.183491i | ||||
\(909\) | −3.67202 | + | 12.5057i | −0.121793 | + | 0.414789i | ||||
\(910\) | 0.474110 | − | 1.05867i | 0.0157166 | − | 0.0350946i | ||||
\(911\) | −3.98212 | − | 0.572543i | −0.131934 | − | 0.0189692i | 0.0760316 | − | 0.997105i | \(-0.475775\pi\) |
−0.207965 | + | 0.978136i | \(0.566684\pi\) | |||||||
\(912\) | −0.475478 | − | 6.64805i | −0.0157447 | − | 0.220139i | ||||
\(913\) | −9.71855 | − | 26.0564i | −0.321637 | − | 0.862342i | ||||
\(914\) | 20.4247 | + | 13.1261i | 0.675589 | + | 0.434174i | ||||
\(915\) | 4.55165 | + | 3.88585i | 0.150473 | + | 0.128462i | ||||
\(916\) | −9.03597 | − | 14.0602i | −0.298557 | − | 0.464564i | ||||
\(917\) | 1.47196 | + | 0.105276i | 0.0486083 | + | 0.00347653i | ||||
\(918\) | 0.0590226 | + | 0.0322288i | 0.00194804 | + | 0.00106371i | ||||
\(919\) | 16.8693 | 0.556466 | 0.278233 | − | 0.960514i | \(-0.410251\pi\) | ||||
0.278233 | + | 0.960514i | \(0.410251\pi\) | |||||||
\(920\) | 4.92157 | − | 9.52775i | 0.162260 | − | 0.314121i | ||||
\(921\) | −2.40885 | −0.0793743 | ||||||||
\(922\) | −18.1363 | − | 9.90317i | −0.597287 | − | 0.326144i | ||||
\(923\) | −40.1585 | − | 2.87219i | −1.32183 | − | 0.0945394i | ||||
\(924\) | 0.128771 | + | 0.200372i | 0.00423626 | + | 0.00659175i | ||||
\(925\) | −21.8197 | − | 21.1877i | −0.717429 | − | 0.696649i | ||||
\(926\) | −12.1765 | − | 7.82538i | −0.400146 | − | 0.257158i | ||||
\(927\) | 5.19580 | + | 13.9305i | 0.170652 | + | 0.457537i | ||||
\(928\) | 0.507449 | + | 7.09506i | 0.0166578 | + | 0.232907i | ||||
\(929\) | 15.9753 | + | 2.29690i | 0.524131 | + | 0.0753587i | 0.399302 | − | 0.916820i | \(-0.369253\pi\) |
0.124829 | + | 0.992178i | \(0.460162\pi\) | |||||||
\(930\) | 3.10333 | − | 1.18353i | 0.101762 | − | 0.0388094i | ||||
\(931\) | 13.1307 | − | 44.7191i | 0.430342 | − | 1.46561i | ||||
\(932\) | 2.73477 | + | 5.00836i | 0.0895804 | + | 0.164054i | ||||
\(933\) | 5.92815 | + | 2.21109i | 0.194079 | + | 0.0723877i | ||||
\(934\) | −0.420978 | + | 2.92797i | −0.0137748 | + | 0.0958060i | ||||
\(935\) | −0.00309299 | − | 0.420978i | −0.000101151 | − | 0.0137674i | ||||
\(936\) | −2.53305 | + | 5.54660i | −0.0827953 | + | 0.181296i | ||||
\(937\) | 40.9343 | − | 8.90470i | 1.33726 | − | 0.290904i | 0.513623 | − | 0.858016i | \(-0.328303\pi\) |
0.823641 | + | 0.567112i | \(0.191939\pi\) | |||||||
\(938\) | −0.739449 | − | 0.553544i | −0.0241439 | − | 0.0180739i | ||||
\(939\) | 8.16853 | − | 5.24960i | 0.266570 | − | 0.171314i | ||||
\(940\) | −2.77451 | + | 20.3578i | −0.0904946 | + | 0.664000i | ||||
\(941\) | 6.63433 | + | 22.5944i | 0.216273 | + | 0.736558i | 0.994137 | + | 0.108126i | \(0.0344848\pi\) |
−0.777864 | + | 0.628432i | \(0.783697\pi\) | |||||||
\(942\) | −7.82311 | + | 7.82311i | −0.254891 | + | 0.254891i | ||||
\(943\) | 27.9579 | − | 53.1625i | 0.910433 | − | 1.73121i | ||||
\(944\) | 4.79801i | 0.156162i | ||||||||
\(945\) | 0.0418020 | + | 0.185586i | 0.00135982 | + | 0.00603711i | ||||
\(946\) | 23.5436 | + | 27.1707i | 0.765467 | + | 0.883396i | ||||
\(947\) | −4.89003 | − | 1.06376i | −0.158905 | − | 0.0345676i | 0.132409 | − | 0.991195i | \(-0.457729\pi\) |
−0.291314 | + | 0.956628i | \(0.594092\pi\) | |||||||
\(948\) | −1.98360 | + | 2.64978i | −0.0644245 | + | 0.0860610i | ||||
\(949\) | −42.9359 | + | 66.8096i | −1.39376 | + | 2.16873i | ||||
\(950\) | −32.4560 | + | 7.56148i | −1.05301 | + | 0.245327i | ||||
\(951\) | 1.28268 | − | 1.48029i | 0.0415936 | − | 0.0480016i | ||||
\(952\) | −0.00458007 | + | 0.00342860i | −0.000148441 | + | 0.000111122i | ||||
\(953\) | −3.93442 | + | 10.5486i | −0.127448 | + | 0.341702i | −0.984965 | − | 0.172754i | \(-0.944733\pi\) |
0.857517 | + | 0.514456i | \(0.172006\pi\) | |||||||
\(954\) | 5.34469 | + | 1.56934i | 0.173041 | + | 0.0508094i | ||||
\(955\) | −28.2839 | − | 10.3133i | −0.915244 | − | 0.333730i | ||||
\(956\) | −1.82144 | − | 3.98840i | −0.0589096 | − | 0.128994i | ||||
\(957\) | −11.9343 | − | 15.9423i | −0.385780 | − | 0.515342i | ||||
\(958\) | −2.97926 | + | 0.213081i | −0.0962556 | + | 0.00688434i | ||||
\(959\) | 0.798175 | + | 0.364514i | 0.0257744 | + | 0.0117708i | ||||
\(960\) | 2.21091 | − | 0.334478i | 0.0713568 | − | 0.0107952i | ||||
\(961\) | 4.09777 | + | 28.5006i | 0.132186 | + | 0.919376i | ||||
\(962\) | 7.88424 | − | 36.2433i | 0.254198 | − | 1.16853i | ||||
\(963\) | 0.676471 | − | 9.45830i | 0.0217990 | − | 0.304789i | ||||
\(964\) | −21.8651 | + | 6.42016i | −0.704226 | + | 0.206780i | ||||
\(965\) | 23.0712 | + | 26.2337i | 0.742689 | + | 0.844491i | ||||
\(966\) | 0.304134 | − | 0.271982i | 0.00978534 | − | 0.00875089i | ||||
\(967\) | 11.1038 | + | 11.1038i | 0.357075 | + | 0.357075i | 0.862734 | − | 0.505658i | \(-0.168750\pi\) |
−0.505658 | + | 0.862734i | \(0.668750\pi\) | |||||||
\(968\) | 1.51537 | − | 2.77520i | 0.0487060 | − | 0.0891983i | ||||
\(969\) | −0.338737 | + | 0.293517i | −0.0108818 | + | 0.00942914i | ||||
\(970\) | 12.5484 | + | 22.5847i | 0.402906 | + | 0.725150i | ||||
\(971\) | −1.52598 | + | 0.219403i | −0.0489711 | + | 0.00704099i | −0.166757 | − | 0.985998i | \(-0.553329\pi\) |
0.117786 | + | 0.993039i | \(0.462420\pi\) | |||||||
\(972\) | −0.212565 | − | 0.977147i | −0.00681803 | − | 0.0313420i | ||||
\(973\) | 0.411473 | − | 0.153472i | 0.0131912 | − | 0.00492007i | ||||
\(974\) | −24.0272 | − | 20.8197i | −0.769880 | − | 0.667105i | ||||
\(975\) | 29.3762 | + | 8.15875i | 0.940792 | + | 0.261289i | ||||
\(976\) | 2.43460 | − | 1.11184i | 0.0779296 | − | 0.0355893i | ||||
\(977\) | 22.4224 | − | 12.2436i | 0.717357 | − | 0.391706i | −0.0787244 | − | 0.996896i | \(-0.525085\pi\) |
0.796081 | + | 0.605190i | \(0.206903\pi\) | |||||||
\(978\) | 10.0772 | − | 5.50255i | 0.322232 | − | 0.175952i | ||||
\(979\) | 29.8507 | − | 13.6324i | 0.954033 | − | 0.435692i | ||||
\(980\) | 15.3030 | + | 3.21139i | 0.488835 | + | 0.102584i | ||||
\(981\) | −3.20084 | − | 2.77355i | −0.102195 | − | 0.0885526i | ||||
\(982\) | 29.3651 | − | 10.9526i | 0.937077 | − | 0.349512i | ||||
\(983\) | −0.444124 | − | 2.04160i | −0.0141654 | − | 0.0651171i | 0.969522 | − | 0.245006i | \(-0.0787899\pi\) |
−0.983687 | + | 0.179889i | \(0.942426\pi\) | |||||||
\(984\) | 12.3971 | − | 1.78243i | 0.395205 | − | 0.0568219i | ||||
\(985\) | −4.98555 | + | 17.4525i | −0.158853 | + | 0.556084i | ||||
\(986\) | 0.361514 | − | 0.313253i | 0.0115129 | − | 0.00997602i | ||||
\(987\) | −0.374637 | + | 0.686096i | −0.0119248 | + | 0.0218387i | ||||
\(988\) | −28.7375 | − | 28.7375i | −0.914261 | − | 0.914261i | ||||
\(989\) | 39.5971 | − | 47.1693i | 1.25911 | − | 1.49990i | ||||
\(990\) | −4.70090 | + | 4.13421i | −0.149404 | + | 0.131394i | ||||
\(991\) | 10.6992 | − | 3.14158i | 0.339873 | − | 0.0997957i | −0.107342 | − | 0.994222i | \(-0.534234\pi\) |
0.447215 | + | 0.894426i | \(0.352416\pi\) | |||||||
\(992\) | 0.105964 | − | 1.48157i | 0.00336436 | − | 0.0470399i | ||||
\(993\) | −4.74157 | + | 21.7966i | −0.150469 | + | 0.691695i | ||||
\(994\) | 0.0799430 | + | 0.556016i | 0.00253564 | + | 0.0176358i | ||||
\(995\) | 16.6169 | − | 22.5409i | 0.526790 | − | 0.714593i | ||||
\(996\) | −9.03569 | − | 4.12646i | −0.286307 | − | 0.130752i | ||||
\(997\) | 19.8647 | − | 1.42075i | 0.629120 | − | 0.0449956i | 0.246861 | − | 0.969051i | \(-0.420601\pi\) |
0.382259 | + | 0.924055i | \(0.375146\pi\) | |||||||
\(998\) | 6.62859 | + | 8.85476i | 0.209824 | + | 0.280292i | ||||
\(999\) | 2.52690 | + | 5.53314i | 0.0799476 | + | 0.175061i |
(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.w.a.37.6 | ✓ | 240 | |
5.3 | odd | 4 | inner | 690.2.w.a.313.5 | yes | 240 | |
23.5 | odd | 22 | inner | 690.2.w.a.97.5 | yes | 240 | |
115.28 | even | 44 | inner | 690.2.w.a.373.6 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.w.a.37.6 | ✓ | 240 | 1.1 | even | 1 | trivial | |
690.2.w.a.97.5 | yes | 240 | 23.5 | odd | 22 | inner | |
690.2.w.a.313.5 | yes | 240 | 5.3 | odd | 4 | inner | |
690.2.w.a.373.6 | yes | 240 | 115.28 | even | 44 | inner |