Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [900,2,Mod(127,900)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(900, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("900.127");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 900 = 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 900.bj (of order \(20\), degree \(8\), 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: | \(7.18653618192\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{20})\) |
Twist minimal: | no (minimal twist has level 300) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 163.5 | ||
Character | \(\chi\) | \(=\) | 900.163 |
Dual form | 900.2.bj.f.127.5 |
$q$-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 \(\left(\mathbb{Z}/900\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(451\) | \(577\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{19}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.31411 | + | 0.522605i | −0.929216 | + | 0.369538i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.45377 | − | 1.37352i | 0.726884 | − | 0.686761i | ||||
\(5\) | 1.83309 | + | 1.28054i | 0.819784 | + | 0.572673i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.46352 | − | 1.46352i | −0.553160 | − | 0.553160i | 0.374192 | − | 0.927351i | \(-0.377920\pi\) |
−0.927351 | + | 0.374192i | \(0.877920\pi\) | |||||||
\(8\) | −1.19260 | + | 2.56470i | −0.421648 | + | 0.906760i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −3.07810 | − | 0.724779i | −0.973380 | − | 0.229195i | ||||
\(11\) | −0.716610 | + | 0.986329i | −0.216066 | + | 0.297389i | −0.903268 | − | 0.429077i | \(-0.858839\pi\) |
0.687202 | + | 0.726467i | \(0.258839\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.610002 | + | 0.0966148i | 0.169184 | + | 0.0267961i | 0.240452 | − | 0.970661i | \(-0.422704\pi\) |
−0.0712677 | + | 0.997457i | \(0.522704\pi\) | |||||||
\(14\) | 2.68808 | + | 1.15838i | 0.718418 | + | 0.309591i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.226878 | − | 3.99356i | 0.0567196 | − | 0.998390i | ||||
\(17\) | 2.23367 | + | 4.38383i | 0.541746 | + | 1.06324i | 0.985908 | + | 0.167289i | \(0.0535014\pi\) |
−0.444162 | + | 0.895946i | \(0.646499\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.11648 | + | 3.43617i | −0.256138 | + | 0.788312i | 0.737465 | + | 0.675385i | \(0.236023\pi\) |
−0.993603 | + | 0.112927i | \(0.963977\pi\) | |||||||
\(20\) | 4.42373 | − | 0.656192i | 0.989177 | − | 0.146729i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.426243 | − | 1.67065i | 0.0908753 | − | 0.356183i | ||||
\(23\) | −6.81819 | + | 1.07989i | −1.42169 | + | 0.225174i | −0.819454 | − | 0.573145i | \(-0.805723\pi\) |
−0.602236 | + | 0.798318i | \(0.705723\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.72046 | + | 4.69468i | 0.344092 | + | 0.938936i | ||||
\(26\) | −0.852100 | + | 0.191828i | −0.167111 | + | 0.0376205i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −4.13780 | − | 0.117442i | −0.781971 | − | 0.0221944i | ||||
\(29\) | −0.953684 | + | 0.309871i | −0.177095 | + | 0.0575416i | −0.396222 | − | 0.918155i | \(-0.629679\pi\) |
0.219127 | + | 0.975696i | \(0.429679\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 10.1146 | + | 3.28642i | 1.81663 | + | 0.590259i | 0.999913 | + | 0.0132212i | \(0.00420855\pi\) |
0.816717 | + | 0.577038i | \(0.195791\pi\) | |||||||
\(32\) | 1.78891 | + | 5.36654i | 0.316238 | + | 0.948680i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −5.22631 | − | 4.59351i | −0.896304 | − | 0.787780i | ||||
\(35\) | −0.808681 | − | 4.55687i | −0.136692 | − | 0.770251i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.749924 | + | 4.73483i | −0.123287 | + | 0.778402i | 0.846129 | + | 0.532978i | \(0.178927\pi\) |
−0.969416 | + | 0.245424i | \(0.921073\pi\) | |||||||
\(38\) | −0.328585 | − | 5.09899i | −0.0533036 | − | 0.827165i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −5.47034 | + | 3.17418i | −0.864937 | + | 0.501881i | ||||
\(41\) | 4.46659 | − | 3.24517i | 0.697564 | − | 0.506810i | −0.181574 | − | 0.983377i | \(-0.558119\pi\) |
0.879138 | + | 0.476568i | \(0.158119\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.74571 | − | 2.74571i | 0.418717 | − | 0.418717i | −0.466044 | − | 0.884761i | \(-0.654321\pi\) |
0.884761 | + | 0.466044i | \(0.154321\pi\) | |||||||
\(44\) | 0.312960 | + | 2.41817i | 0.0471805 | + | 0.364553i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 8.39548 | − | 4.98232i | 1.23785 | − | 0.734603i | ||||
\(47\) | −0.593032 | + | 1.16389i | −0.0865026 | + | 0.169771i | −0.930205 | − | 0.367040i | \(-0.880371\pi\) |
0.843703 | + | 0.536811i | \(0.180371\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | − | 2.71620i | − | 0.388028i | ||||||
\(50\) | −4.71434 | − | 5.27020i | −0.666708 | − | 0.745319i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.01950 | − | 0.697395i | 0.141380 | − | 0.0967113i | ||||
\(53\) | −2.82569 | + | 5.54573i | −0.388139 | + | 0.761765i | −0.999564 | − | 0.0295374i | \(-0.990597\pi\) |
0.611425 | + | 0.791302i | \(0.290597\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.57664 | + | 0.890388i | −0.347434 | + | 0.120060i | ||||
\(56\) | 5.49890 | − | 2.00811i | 0.734822 | − | 0.268345i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 1.09131 | − | 0.905605i | 0.143295 | − | 0.118912i | ||||
\(59\) | 10.5976 | − | 7.69958i | 1.37969 | − | 1.00240i | 0.382776 | − | 0.923841i | \(-0.374968\pi\) |
0.996909 | − | 0.0785588i | \(-0.0250318\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 7.64473 | + | 5.55422i | 0.978807 | + | 0.711145i | 0.957442 | − | 0.288627i | \(-0.0931986\pi\) |
0.0213655 | + | 0.999772i | \(0.493199\pi\) | |||||||
\(62\) | −15.0092 | + | 0.967209i | −1.90616 | + | 0.122836i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −5.15541 | − | 6.11733i | −0.644427 | − | 0.764666i | ||||
\(65\) | 0.994471 | + | 0.958232i | 0.123349 | + | 0.118854i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −7.24032 | + | 3.68913i | −0.884546 | + | 0.450699i | −0.836386 | − | 0.548141i | \(-0.815336\pi\) |
−0.0481602 | + | 0.998840i | \(0.515336\pi\) | |||||||
\(68\) | 9.26853 | + | 3.30507i | 1.12397 | + | 0.400799i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 3.44414 | + | 5.56560i | 0.411653 | + | 0.665217i | ||||
\(71\) | −12.8093 | + | 4.16201i | −1.52019 | + | 0.493940i | −0.945830 | − | 0.324663i | \(-0.894749\pi\) |
−0.574360 | + | 0.818603i | \(0.694749\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.08745 | + | 6.86590i | 0.127277 | + | 0.803592i | 0.965907 | + | 0.258891i | \(0.0833570\pi\) |
−0.838630 | + | 0.544701i | \(0.816643\pi\) | |||||||
\(74\) | −1.48897 | − | 6.61400i | −0.173089 | − | 0.768862i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 3.09656 | + | 6.52891i | 0.355199 | + | 0.748917i | ||||
\(77\) | 2.49229 | − | 0.394740i | 0.284023 | − | 0.0449848i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.17258 | + | 6.68651i | 0.244434 | + | 0.752291i | 0.995729 | + | 0.0923241i | \(0.0294296\pi\) |
−0.751295 | + | 0.659967i | \(0.770570\pi\) | |||||||
\(80\) | 5.52978 | − | 7.03004i | 0.618249 | − | 0.785983i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −4.17364 | + | 6.59877i | −0.460902 | + | 0.728712i | ||||
\(83\) | 3.19885 | + | 6.27810i | 0.351119 | + | 0.689111i | 0.997250 | − | 0.0741166i | \(-0.0236137\pi\) |
−0.646130 | + | 0.763227i | \(0.723614\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.51912 | + | 10.8963i | −0.164772 | + | 1.18187i | ||||
\(86\) | −2.17324 | + | 5.04309i | −0.234347 | + | 0.543810i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.67501 | − | 3.01419i | −0.178557 | − | 0.321313i | ||||
\(89\) | −8.41934 | + | 11.5882i | −0.892448 | + | 1.22835i | 0.0803663 | + | 0.996765i | \(0.474391\pi\) |
−0.972815 | + | 0.231585i | \(0.925609\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.751354 | − | 1.03415i | −0.0787633 | − | 0.108408i | ||||
\(92\) | −8.42880 | + | 10.9348i | −0.878763 | + | 1.14004i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0.171053 | − | 1.83940i | 0.0176428 | − | 0.189720i | ||||
\(95\) | −6.44675 | + | 4.86913i | −0.661423 | + | 0.499563i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 3.66823 | + | 1.86906i | 0.372453 | + | 0.189774i | 0.630190 | − | 0.776441i | \(-0.282977\pi\) |
−0.257737 | + | 0.966215i | \(0.582977\pi\) | |||||||
\(98\) | 1.41950 | + | 3.56938i | 0.143391 | + | 0.360562i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 8.94939 | + | 4.46188i | 0.894939 | + | 0.446188i | ||||
\(101\) | 14.2792 | 1.42083 | 0.710417 | − | 0.703781i | \(-0.248506\pi\) | ||||
0.710417 | + | 0.703781i | \(0.248506\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −11.1840 | − | 5.69852i | −1.10199 | − | 0.561492i | −0.194219 | − | 0.980958i | \(-0.562217\pi\) |
−0.907771 | + | 0.419467i | \(0.862217\pi\) | |||||||
\(104\) | −0.975276 | + | 1.44925i | −0.0956337 | + | 0.142111i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.815039 | − | 8.76442i | 0.0791636 | − | 0.851276i | ||||
\(107\) | 3.88843 | + | 3.88843i | 0.375909 | + | 0.375909i | 0.869624 | − | 0.493715i | \(-0.164361\pi\) |
−0.493715 | + | 0.869624i | \(0.664361\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −3.30533 | − | 4.54940i | −0.316593 | − | 0.435753i | 0.620830 | − | 0.783945i | \(-0.286796\pi\) |
−0.937423 | + | 0.348192i | \(0.886796\pi\) | |||||||
\(110\) | 2.92067 | − | 2.51663i | 0.278475 | − | 0.239952i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −6.17671 | + | 5.51263i | −0.583644 | + | 0.520894i | ||||
\(113\) | −6.70930 | − | 1.06265i | −0.631158 | − | 0.0999656i | −0.167345 | − | 0.985898i | \(-0.553519\pi\) |
−0.463813 | + | 0.885933i | \(0.653519\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −13.8812 | − | 6.75138i | −1.29443 | − | 0.629569i | ||||
\(116\) | −0.960821 | + | 1.76039i | −0.0892100 | + | 0.163448i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −9.90252 | + | 15.6564i | −0.911601 | + | 1.44129i | ||||
\(119\) | 3.14681 | − | 9.68488i | 0.288467 | − | 0.887811i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.93987 | + | 9.04800i | 0.267261 | + | 0.822545i | ||||
\(122\) | −12.9487 | − | 3.30368i | −1.17232 | − | 0.299101i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 19.2182 | − | 9.11488i | 1.72585 | − | 0.818541i | ||||
\(125\) | −2.85794 | + | 10.8089i | −0.255622 | + | 0.966777i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2.16580 | − | 13.6743i | −0.192183 | − | 1.21340i | −0.875479 | − | 0.483256i | \(-0.839454\pi\) |
0.683296 | − | 0.730142i | \(-0.260546\pi\) | |||||||
\(128\) | 9.97173 | + | 5.34459i | 0.881384 | + | 0.472400i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −1.80762 | − | 0.739506i | −0.158539 | − | 0.0648590i | ||||
\(131\) | 1.62756 | + | 0.528826i | 0.142201 | + | 0.0462038i | 0.379253 | − | 0.925293i | \(-0.376181\pi\) |
−0.237052 | + | 0.971497i | \(0.576181\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 6.66292 | − | 3.39493i | 0.577748 | − | 0.294377i | ||||
\(134\) | 7.58662 | − | 8.63175i | 0.655384 | − | 0.745670i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −13.9071 | + | 0.500556i | −1.19253 | + | 0.0429224i | ||||
\(137\) | 0.0719242 | − | 0.454112i | 0.00614490 | − | 0.0387974i | −0.984425 | − | 0.175803i | \(-0.943748\pi\) |
0.990570 | + | 0.137006i | \(0.0437478\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −3.76808 | − | 2.73767i | −0.319604 | − | 0.232206i | 0.416402 | − | 0.909180i | \(-0.363291\pi\) |
−0.736007 | + | 0.676974i | \(0.763291\pi\) | |||||||
\(140\) | −7.43459 | − | 5.51388i | −0.628337 | − | 0.466008i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 14.6578 | − | 12.1636i | 1.23005 | − | 1.02074i | ||||
\(143\) | −0.532427 | + | 0.532427i | −0.0445238 | + | 0.0445238i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −2.14499 | − | 0.653204i | −0.178132 | − | 0.0542456i | ||||
\(146\) | −5.01718 | − | 8.45423i | −0.415225 | − | 0.699677i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 5.41318 | + | 7.91338i | 0.444961 | + | 0.650476i | ||||
\(149\) | − | 19.6344i | − | 1.60852i | −0.594281 | − | 0.804258i | \(-0.702563\pi\) | ||
0.594281 | − | 0.804258i | \(-0.297437\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 23.7781i | 1.93504i | 0.252799 | + | 0.967519i | \(0.418649\pi\) | ||||
−0.252799 | + | 0.967519i | \(0.581351\pi\) | |||||||
\(152\) | −7.48126 | − | 6.96142i | −0.606810 | − | 0.564646i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −3.06885 | + | 1.82122i | −0.247295 | + | 0.146758i | ||||
\(155\) | 14.3326 | + | 18.9764i | 1.15122 | + | 1.52422i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 2.38350 | − | 2.38350i | 0.190224 | − | 0.190224i | −0.605569 | − | 0.795793i | \(-0.707054\pi\) |
0.795793 | + | 0.605569i | \(0.207054\pi\) | |||||||
\(158\) | −6.34941 | − | 7.65140i | −0.505132 | − | 0.608713i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −3.59280 | + | 12.1281i | −0.284036 | + | 0.958814i | ||||
\(161\) | 11.5590 | + | 8.39812i | 0.910979 | + | 0.661865i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 0.927372 | − | 5.85520i | 0.0726374 | − | 0.458614i | −0.924382 | − | 0.381467i | \(-0.875419\pi\) |
0.997020 | − | 0.0771471i | \(-0.0245811\pi\) | |||||||
\(164\) | 2.03607 | − | 10.8527i | 0.158991 | − | 0.847451i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −7.48461 | − | 6.57837i | −0.580918 | − | 0.510580i | ||||
\(167\) | 11.9576 | − | 6.09269i | 0.925305 | − | 0.471467i | 0.0746615 | − | 0.997209i | \(-0.476212\pi\) |
0.850644 | + | 0.525742i | \(0.176212\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −12.0010 | − | 3.89935i | −0.923151 | − | 0.299950i | ||||
\(170\) | −3.69816 | − | 15.1128i | −0.283636 | − | 1.15910i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.220332 | − | 7.76292i | 0.0168002 | − | 0.591917i | ||||
\(173\) | −2.52253 | − | 15.9266i | −0.191785 | − | 1.21088i | −0.876258 | − | 0.481842i | \(-0.839968\pi\) |
0.684473 | − | 0.729038i | \(-0.260032\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 4.35284 | − | 9.38871i | 0.329044 | − | 0.709720i | ||||
\(176\) | 3.77638 | + | 3.08560i | 0.284655 | + | 0.232586i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 5.00787 | − | 19.6282i | 0.375355 | − | 1.47120i | ||||
\(179\) | −1.87266 | − | 5.76347i | −0.139970 | − | 0.430782i | 0.856360 | − | 0.516379i | \(-0.172720\pi\) |
−0.996330 | + | 0.0855968i | \(0.972720\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 7.06640 | − | 21.7482i | 0.525242 | − | 1.61653i | −0.238596 | − | 0.971119i | \(-0.576687\pi\) |
0.763837 | − | 0.645409i | \(-0.223313\pi\) | |||||||
\(182\) | 1.52781 | + | 0.966324i | 0.113249 | + | 0.0716287i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 5.36175 | − | 18.7745i | 0.395274 | − | 1.38408i | ||||
\(185\) | −7.43780 | + | 7.71909i | −0.546838 | + | 0.567518i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −5.92457 | − | 0.938360i | −0.433248 | − | 0.0686197i | ||||
\(188\) | 0.736498 | + | 2.50657i | 0.0537147 | + | 0.182810i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 5.92711 | − | 9.76768i | 0.429997 | − | 0.708622i | ||||
\(191\) | 4.71698 | + | 6.49237i | 0.341309 | + | 0.469771i | 0.944823 | − | 0.327581i | \(-0.106233\pi\) |
−0.603514 | + | 0.797352i | \(0.706233\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 7.12358 | + | 7.12358i | 0.512767 | + | 0.512767i | 0.915373 | − | 0.402606i | \(-0.131896\pi\) |
−0.402606 | + | 0.915373i | \(0.631896\pi\) | |||||||
\(194\) | −5.79724 | − | 0.539109i | −0.416218 | − | 0.0387058i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −3.73076 | − | 3.94872i | −0.266483 | − | 0.282051i | ||||
\(197\) | −13.3419 | − | 6.79803i | −0.950570 | − | 0.484339i | −0.0912781 | − | 0.995825i | \(-0.529095\pi\) |
−0.859292 | + | 0.511486i | \(0.829095\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 4.76131 | 0.337520 | 0.168760 | − | 0.985657i | \(-0.446024\pi\) | ||||
0.168760 | + | 0.985657i | \(0.446024\pi\) | |||||||
\(200\) | −14.0923 | − | 1.18640i | −0.996475 | − | 0.0838914i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −18.7644 | + | 7.46239i | −1.32026 | + | 0.525052i | ||||
\(203\) | 1.84924 | + | 0.942236i | 0.129791 | + | 0.0661320i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 12.3432 | − | 0.229069i | 0.862088 | − | 0.0159988i | ||||
\(206\) | 17.6750 | + | 1.64367i | 1.23148 | + | 0.114520i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0.524233 | − | 2.41416i | 0.0363490 | − | 0.167392i | ||||
\(209\) | −2.58912 | − | 3.56361i | −0.179093 | − | 0.246500i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.683337 | − | 0.940532i | 0.0470428 | − | 0.0647489i | −0.784848 | − | 0.619689i | \(-0.787259\pi\) |
0.831890 | + | 0.554940i | \(0.187259\pi\) | |||||||
\(212\) | 3.50928 | + | 11.9434i | 0.241019 | + | 0.820273i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −7.14194 | − | 3.07771i | −0.488213 | − | 0.210388i | ||||
\(215\) | 8.54912 | − | 1.51716i | 0.583045 | − | 0.103470i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −9.99315 | − | 19.6127i | −0.678379 | − | 1.33139i | ||||
\(218\) | 6.72110 | + | 4.25102i | 0.455211 | + | 0.287916i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −2.52287 | + | 4.83349i | −0.170092 | + | 0.325874i | ||||
\(221\) | 0.939002 | + | 2.88995i | 0.0631641 | + | 0.194399i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 21.2551 | − | 3.36648i | 1.42335 | − | 0.225436i | 0.603202 | − | 0.797589i | \(-0.293891\pi\) |
0.820147 | + | 0.572152i | \(0.193891\pi\) | |||||||
\(224\) | 5.23595 | − | 10.4722i | 0.349841 | − | 0.699702i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 9.37210 | − | 2.10988i | 0.623423 | − | 0.140347i | ||||
\(227\) | 1.05635 | + | 6.66952i | 0.0701123 | + | 0.442672i | 0.997625 | + | 0.0688800i | \(0.0219425\pi\) |
−0.927513 | + | 0.373792i | \(0.878057\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −19.0806 | + | 6.19967i | −1.26088 | + | 0.409686i | −0.861809 | − | 0.507232i | \(-0.830669\pi\) |
−0.399075 | + | 0.916918i | \(0.630669\pi\) | |||||||
\(230\) | 21.7697 | + | 1.61765i | 1.43545 | + | 0.106665i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.342637 | − | 2.81547i | 0.0224952 | − | 0.184845i | ||||
\(233\) | 4.84966 | − | 2.47103i | 0.317712 | − | 0.161882i | −0.287861 | − | 0.957672i | \(-0.592944\pi\) |
0.605573 | + | 0.795790i | \(0.292944\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −2.57749 | + | 1.37412i | −0.168137 | + | 0.0896378i | ||||
\(236\) | 4.83085 | − | 25.7494i | 0.314462 | − | 1.67614i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.926120 | + | 14.3715i | 0.0600314 | + | 0.931568i | ||||
\(239\) | −11.2896 | − | 8.20235i | −0.730261 | − | 0.530566i | 0.159385 | − | 0.987217i | \(-0.449049\pi\) |
−0.889646 | + | 0.456651i | \(0.849049\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 13.3980 | − | 9.73420i | 0.863040 | − | 0.627035i | −0.0656704 | − | 0.997841i | \(-0.520919\pi\) |
0.928710 | + | 0.370806i | \(0.120919\pi\) | |||||||
\(242\) | −8.59185 | − | 10.3537i | −0.552305 | − | 0.665559i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 18.7425 | − | 2.42565i | 1.19987 | − | 0.155287i | ||||
\(245\) | 3.47819 | − | 4.97904i | 0.222213 | − | 0.318099i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.01304 | + | 1.98820i | −0.0644582 | + | 0.126506i | ||||
\(248\) | −20.4913 | + | 22.0215i | −1.30120 | + | 1.39837i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −1.89314 | − | 15.6976i | −0.119733 | − | 0.992806i | ||||
\(251\) | − | 22.8681i | − | 1.44342i | −0.692195 | − | 0.721711i | \(-0.743356\pi\) | ||
0.692195 | − | 0.721711i | \(-0.256644\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 3.82085 | − | 7.49883i | 0.240215 | − | 0.471448i | ||||
\(254\) | 9.99236 | + | 16.8377i | 0.626976 | + | 1.05649i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −15.8971 | − | 1.81210i | −0.993566 | − | 0.113256i | ||||
\(257\) | 17.5555 | − | 17.5555i | 1.09508 | − | 1.09508i | 0.100106 | − | 0.994977i | \(-0.468082\pi\) |
0.994977 | − | 0.100106i | \(-0.0319182\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 8.02707 | − | 5.83201i | 0.498778 | − | 0.362383i | ||||
\(260\) | 2.76188 | + | 0.0271194i | 0.171285 | + | 0.00168188i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −2.41516 | + | 0.155636i | −0.149209 | + | 0.00961522i | ||||
\(263\) | 1.08432 | − | 6.84611i | 0.0668619 | − | 0.422149i | −0.931440 | − | 0.363895i | \(-0.881447\pi\) |
0.998302 | − | 0.0582542i | \(-0.0185534\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −12.2813 | + | 6.54745i | −0.754432 | + | 0.402206i | ||||
\(266\) | −6.98160 | + | 7.94338i | −0.428069 | + | 0.487040i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −5.45865 | + | 15.3079i | −0.333440 | + | 0.935077i | ||||
\(269\) | −26.2916 | − | 8.54266i | −1.60303 | − | 0.520855i | −0.635174 | − | 0.772369i | \(-0.719072\pi\) |
−0.967854 | + | 0.251514i | \(0.919072\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 14.4397 | − | 4.69173i | 0.877147 | − | 0.285002i | 0.164375 | − | 0.986398i | \(-0.447439\pi\) |
0.712772 | + | 0.701396i | \(0.247439\pi\) | |||||||
\(272\) | 18.0139 | − | 7.92572i | 1.09225 | − | 0.480567i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0.142805 | + | 0.634340i | 0.00862716 | + | 0.0383219i | ||||
\(275\) | −5.86339 | − | 1.66731i | −0.353576 | − | 0.100543i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −18.0952 | + | 2.86600i | −1.08723 | + | 0.172201i | −0.674225 | − | 0.738526i | \(-0.735522\pi\) |
−0.413009 | + | 0.910727i | \(0.635522\pi\) | |||||||
\(278\) | 6.38239 | + | 1.62838i | 0.382790 | + | 0.0976636i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 12.6514 | + | 3.36049i | 0.756069 | + | 0.200828i | ||||
\(281\) | 4.45191 | − | 13.7016i | 0.265579 | − | 0.817368i | −0.725980 | − | 0.687715i | \(-0.758614\pi\) |
0.991559 | − | 0.129653i | \(-0.0413863\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 13.2557 | + | 26.0158i | 0.787971 | + | 1.54648i | 0.836696 | + | 0.547668i | \(0.184484\pi\) |
−0.0487251 | + | 0.998812i | \(0.515516\pi\) | |||||||
\(284\) | −12.9052 | + | 23.6445i | −0.765783 | + | 1.40304i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.421418 | − | 0.977916i | 0.0249190 | − | 0.0578254i | ||||
\(287\) | −11.2863 | − | 1.78758i | −0.666211 | − | 0.105517i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −4.23634 | + | 5.83082i | −0.249197 | + | 0.342990i | ||||
\(290\) | 3.16012 | − | 0.262603i | 0.185569 | − | 0.0154206i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 11.0114 | + | 8.48778i | 0.644391 | + | 0.496710i | ||||
\(293\) | −3.00790 | − | 3.00790i | −0.175723 | − | 0.175723i | 0.613765 | − | 0.789489i | \(-0.289654\pi\) |
−0.789489 | + | 0.613765i | \(0.789654\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 29.2859 | − | 0.543495i | 1.70509 | − | 0.0316435i | ||||
\(296\) | −11.2491 | − | 7.57009i | −0.653840 | − | 0.440003i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 10.2611 | + | 25.8018i | 0.594407 | + | 1.49466i | ||||
\(299\) | −4.26344 | −0.246561 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −8.03683 | −0.463235 | ||||||||
\(302\) | −12.4266 | − | 31.2471i | −0.715070 | − | 1.79807i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 13.4693 | + | 5.23833i | 0.772515 | + | 0.300439i | ||||
\(305\) | 6.90112 | + | 19.9707i | 0.395157 | + | 1.14352i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 22.9222 | + | 22.9222i | 1.30824 | + | 1.30824i | 0.922685 | + | 0.385554i | \(0.125990\pi\) |
0.385554 | + | 0.922685i | \(0.374010\pi\) | |||||||
\(308\) | 3.08103 | − | 3.99707i | 0.175558 | − | 0.227754i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −28.7517 | − | 17.4468i | −1.63299 | − | 0.990909i | ||||
\(311\) | −5.82470 | + | 8.01702i | −0.330289 | + | 0.454603i | −0.941574 | − | 0.336807i | \(-0.890653\pi\) |
0.611285 | + | 0.791411i | \(0.290653\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −12.2798 | − | 1.94493i | −0.694097 | − | 0.109934i | −0.200589 | − | 0.979675i | \(-0.564286\pi\) |
−0.493508 | + | 0.869741i | \(0.664286\pi\) | |||||||
\(314\) | −1.88655 | + | 4.37781i | −0.106464 | + | 0.247054i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 12.3425 | + | 6.73654i | 0.694319 | + | 0.378960i | ||||
\(317\) | −1.92273 | − | 3.77356i | −0.107991 | − | 0.211944i | 0.830687 | − | 0.556740i | \(-0.187948\pi\) |
−0.938678 | + | 0.344796i | \(0.887948\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.377785 | − | 1.16270i | 0.0211519 | − | 0.0650988i | ||||
\(320\) | −1.61690 | − | 17.8153i | −0.0903872 | − | 0.995907i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −19.5787 | − | 4.99524i | −1.09108 | − | 0.278374i | ||||
\(323\) | −17.5575 | + | 2.78083i | −0.976924 | + | 0.154730i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.595908 | + | 3.02998i | 0.0330550 | + | 0.168073i | ||||
\(326\) | 1.84129 | + | 8.17902i | 0.101980 | + | 0.452994i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 2.99604 | + | 15.3257i | 0.165429 | + | 0.846218i | ||||
\(329\) | 2.57130 | − | 0.835465i | 0.141760 | − | 0.0460607i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −8.18304 | − | 2.65883i | −0.449781 | − | 0.146143i | 0.0753630 | − | 0.997156i | \(-0.475988\pi\) |
−0.525144 | + | 0.851014i | \(0.675988\pi\) | |||||||
\(332\) | 13.2735 | + | 4.73320i | 0.728477 | + | 0.259768i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −12.5295 | + | 14.2556i | −0.685584 | + | 0.780030i | ||||
\(335\) | −17.9962 | − | 2.50897i | −0.983240 | − | 0.137080i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 0.107869 | − | 0.681059i | 0.00587601 | − | 0.0370997i | −0.984576 | − | 0.174957i | \(-0.944021\pi\) |
0.990452 | + | 0.137857i | \(0.0440215\pi\) | |||||||
\(338\) | 17.8084 | − | 1.14760i | 0.968650 | − | 0.0624210i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 12.7578 | + | 17.9272i | 0.691890 | + | 0.972238i | ||||
\(341\) | −10.4897 | + | 7.62121i | −0.568049 | + | 0.412711i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −14.2199 | + | 14.2199i | −0.767802 | + | 0.767802i | ||||
\(344\) | 3.76740 | + | 10.3165i | 0.203125 | + | 0.556227i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 11.6382 | + | 19.6111i | 0.625675 | + | 1.05430i | ||||
\(347\) | 11.6804 | − | 22.9240i | 0.627035 | − | 1.23063i | −0.330907 | − | 0.943663i | \(-0.607355\pi\) |
0.957942 | − | 0.286962i | \(-0.0926455\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | − | 29.6548i | − | 1.58739i | −0.608318 | − | 0.793694i | \(-0.708155\pi\) | ||
0.608318 | − | 0.793694i | \(-0.291845\pi\) | |||||||
\(350\) | −0.813520 | + | 14.6126i | −0.0434845 | + | 0.781077i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −6.57513 | − | 2.08126i | −0.350455 | − | 0.110932i | ||||
\(353\) | 15.1420 | − | 29.7179i | 0.805928 | − | 1.58172i | −0.00744012 | − | 0.999972i | \(-0.502368\pi\) |
0.813368 | − | 0.581750i | \(-0.197632\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −28.8103 | − | 8.77347i | −1.52909 | − | 0.465647i | ||||
\(356\) | 3.67692 | + | 28.4107i | 0.194876 | + | 1.50577i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 5.47291 | + | 6.59516i | 0.289252 | + | 0.348565i | ||||
\(359\) | −5.20850 | + | 3.78419i | −0.274894 | + | 0.199722i | −0.716687 | − | 0.697395i | \(-0.754342\pi\) |
0.441793 | + | 0.897117i | \(0.354342\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 4.81056 | + | 3.49508i | 0.253187 | + | 0.183951i | ||||
\(362\) | 2.07968 | + | 32.2724i | 0.109305 | + | 1.69620i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −2.51272 | − | 0.471412i | −0.131702 | − | 0.0247087i | ||||
\(365\) | −6.79862 | + | 13.9783i | −0.355856 | + | 0.731660i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −8.78476 | + | 4.47606i | −0.458561 | + | 0.233648i | −0.667982 | − | 0.744177i | \(-0.732842\pi\) |
0.209422 | + | 0.977825i | \(0.432842\pi\) | |||||||
\(368\) | 2.76573 | + | 27.4738i | 0.144173 | + | 1.43217i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 5.74005 | − | 14.0308i | 0.298411 | − | 0.729424i | ||||
\(371\) | 12.2518 | − | 3.98084i | 0.636081 | − | 0.206675i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −1.58263 | − | 9.99236i | −0.0819457 | − | 0.517385i | −0.994181 | − | 0.107719i | \(-0.965645\pi\) |
0.912236 | − | 0.409666i | \(-0.134355\pi\) | |||||||
\(374\) | 8.27593 | − | 1.86311i | 0.427938 | − | 0.0963389i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −2.27779 | − | 2.90901i | −0.117468 | − | 0.150021i | ||||
\(377\) | −0.611687 | + | 0.0968817i | −0.0315035 | + | 0.00498966i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −5.72788 | − | 17.6286i | −0.294221 | − | 0.905521i | −0.983482 | − | 0.181007i | \(-0.942064\pi\) |
0.689260 | − | 0.724514i | \(-0.257936\pi\) | |||||||
\(380\) | −2.68422 | + | 15.9333i | −0.137698 | + | 0.817363i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −9.59158 | − | 6.06656i | −0.490748 | − | 0.310392i | ||||
\(383\) | −4.71055 | − | 9.24497i | −0.240698 | − | 0.472396i | 0.738781 | − | 0.673946i | \(-0.235402\pi\) |
−0.979478 | + | 0.201550i | \(0.935402\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 5.07408 | + | 2.46787i | 0.258599 | + | 0.125774i | ||||
\(386\) | −13.0840 | − | 5.63835i | −0.665958 | − | 0.286984i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 7.89995 | − | 2.32122i | 0.401059 | − | 0.117842i | ||||
\(389\) | −16.6111 | + | 22.8633i | −0.842217 | + | 1.15921i | 0.143307 | + | 0.989678i | \(0.454226\pi\) |
−0.985524 | + | 0.169535i | \(0.945774\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −19.9637 | − | 27.4777i | −1.00961 | − | 1.38960i | ||||
\(392\) | 6.96625 | + | 3.23934i | 0.351849 | + | 0.163611i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 21.0854 | + | 1.96081i | 1.06227 | + | 0.0987844i | ||||
\(395\) | −4.57977 | + | 15.0390i | −0.230433 | + | 0.756697i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −13.0371 | − | 6.64271i | −0.654311 | − | 0.333388i | 0.0951247 | − | 0.995465i | \(-0.469675\pi\) |
−0.749436 | + | 0.662077i | \(0.769675\pi\) | |||||||
\(398\) | −6.25688 | + | 2.48829i | −0.313629 | + | 0.124727i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 19.1388 | − | 5.80564i | 0.956941 | − | 0.290282i | ||||
\(401\) | 18.3995 | 0.918829 | 0.459415 | − | 0.888222i | \(-0.348059\pi\) | ||||
0.459415 | + | 0.888222i | \(0.348059\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 5.85239 | + | 2.98194i | 0.291528 | + | 0.148541i | ||||
\(404\) | 20.7586 | − | 19.6128i | 1.03278 | − | 0.975773i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −2.92252 | − | 0.271777i | −0.145042 | − | 0.0134881i | ||||
\(407\) | −4.13270 | − | 4.13270i | −0.204850 | − | 0.204850i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 1.04712 | + | 1.44123i | 0.0517766 | + | 0.0712643i | 0.834120 | − | 0.551583i | \(-0.185976\pi\) |
−0.782344 | + | 0.622847i | \(0.785976\pi\) | |||||||
\(410\) | −16.1006 | + | 6.75165i | −0.795153 | + | 0.333440i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −24.0859 | + | 7.07710i | −1.18663 | + | 0.348664i | ||||
\(413\) | −26.7783 | − | 4.24127i | −1.31767 | − | 0.208699i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −2.17553 | + | 15.6046i | −0.106793 | + | 0.765998i | ||||
\(416\) | 0.572753 | + | 3.44644i | 0.0280815 | + | 0.168975i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 5.26474 | + | 3.32989i | 0.257507 | + | 0.162870i | ||||
\(419\) | −12.5557 | + | 38.6425i | −0.613386 | + | 1.88781i | −0.190279 | + | 0.981730i | \(0.560939\pi\) |
−0.423108 | + | 0.906079i | \(0.639061\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 2.89797 | + | 8.91902i | 0.141238 | + | 0.434687i | 0.996508 | − | 0.0834962i | \(-0.0266087\pi\) |
−0.855270 | + | 0.518183i | \(0.826609\pi\) | |||||||
\(422\) | −0.406452 | + | 1.59308i | −0.0197858 | + | 0.0775498i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −10.8532 | − | 13.8609i | −0.527080 | − | 0.673145i | ||||
\(425\) | −16.7377 | + | 18.0286i | −0.811900 | + | 0.874515i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −3.05951 | − | 19.3170i | −0.148060 | − | 0.934814i | ||||
\(428\) | 10.9937 | + | 0.312031i | 0.531401 | + | 0.0150826i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −10.4416 | + | 6.46154i | −0.503539 | + | 0.311603i | ||||
\(431\) | −3.54339 | − | 1.15132i | −0.170679 | − | 0.0554571i | 0.222431 | − | 0.974948i | \(-0.428601\pi\) |
−0.393110 | + | 0.919491i | \(0.628601\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −5.53878 | + | 2.82215i | −0.266177 | + | 0.135624i | −0.581986 | − | 0.813199i | \(-0.697724\pi\) |
0.315809 | + | 0.948823i | \(0.397724\pi\) | |||||||
\(434\) | 23.3818 | + | 20.5507i | 1.12236 | + | 0.986466i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −11.0539 | − | 2.07382i | −0.529385 | − | 0.0993181i | ||||
\(437\) | 3.90167 | − | 24.6342i | 0.186642 | − | 1.17841i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −0.813614 | − | 0.591125i | −0.0388317 | − | 0.0282129i | 0.568200 | − | 0.822890i | \(-0.307640\pi\) |
−0.607032 | + | 0.794678i | \(0.707640\pi\) | |||||||
\(440\) | 0.789318 | − | 7.67020i | 0.0376293 | − | 0.365662i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −2.74426 | − | 3.30698i | −0.130531 | − | 0.157297i | ||||
\(443\) | 10.2940 | − | 10.2940i | 0.489083 | − | 0.489083i | −0.418934 | − | 0.908017i | \(-0.637596\pi\) |
0.908017 | + | 0.418934i | \(0.137596\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −30.2726 | + | 10.4610i | −1.43506 | + | 0.495901i | ||||
\(446\) | −26.1722 | + | 15.5320i | −1.23929 | + | 0.735460i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −1.40779 | + | 16.4979i | −0.0665117 | + | 0.779454i | ||||
\(449\) | 18.2346i | 0.860542i | 0.902700 | + | 0.430271i | \(0.141582\pi\) | ||||
−0.902700 | + | 0.430271i | \(0.858418\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 6.73104i | 0.316952i | ||||||||
\(452\) | −11.2133 | + | 7.67052i | −0.527431 | + | 0.360791i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −4.87369 | − | 8.21243i | −0.228733 | − | 0.385428i | ||||
\(455\) | −0.0530363 | − | 2.85783i | −0.00248638 | − | 0.133977i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 20.4576 | − | 20.4576i | 0.956967 | − | 0.956967i | −0.0421448 | − | 0.999112i | \(-0.513419\pi\) |
0.999112 | + | 0.0421448i | \(0.0134191\pi\) | |||||||
\(458\) | 21.8341 | − | 18.1187i | 1.02024 | − | 0.846631i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −29.4532 | + | 9.25121i | −1.37326 | + | 0.431340i | ||||
\(461\) | −1.26163 | − | 0.916631i | −0.0587602 | − | 0.0426918i | 0.558017 | − | 0.829829i | \(-0.311562\pi\) |
−0.616778 | + | 0.787137i | \(0.711562\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 1.78849 | − | 11.2921i | 0.0831181 | − | 0.524787i | −0.910637 | − | 0.413207i | \(-0.864409\pi\) |
0.993755 | − | 0.111581i | \(-0.0355913\pi\) | |||||||
\(464\) | 1.02112 | + | 3.87890i | 0.0474042 | + | 0.180073i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −5.08161 | + | 5.78166i | −0.235401 | + | 0.267830i | ||||
\(467\) | 24.5198 | − | 12.4935i | 1.13464 | − | 0.578129i | 0.217251 | − | 0.976116i | \(-0.430291\pi\) |
0.917391 | + | 0.397987i | \(0.130291\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 15.9955 | + | 5.19726i | 0.738604 | + | 0.239987i | ||||
\(470\) | 2.66897 | − | 3.15275i | 0.123111 | − | 0.145426i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 7.10850 | + | 36.3621i | 0.327195 | + | 1.67370i | ||||
\(473\) | 0.740570 | + | 4.67578i | 0.0340515 | + | 0.214992i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −18.0526 | + | 0.670280i | −0.828310 | + | 0.0307546i | ||||
\(476\) | −8.72766 | − | 18.4018i | −0.400032 | − | 0.843443i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 19.1223 | + | 4.87880i | 0.874634 | + | 0.223151i | ||||
\(479\) | 0.100925 | + | 0.310615i | 0.00461137 | + | 0.0141923i | 0.953336 | − | 0.301912i | \(-0.0976250\pi\) |
−0.948724 | + | 0.316105i | \(0.897625\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.914910 | + | 2.81580i | −0.0417163 | + | 0.128390i | ||||
\(482\) | −12.5193 | + | 19.7937i | −0.570237 | + | 0.901577i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 16.7015 | + | 9.11570i | 0.759159 | + | 0.414350i | ||||
\(485\) | 4.33082 | + | 8.12346i | 0.196652 | + | 0.368867i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 5.27724 | + | 0.835833i | 0.239135 | + | 0.0378752i | 0.274851 | − | 0.961487i | \(-0.411371\pi\) |
−0.0357166 | + | 0.999362i | \(0.511371\pi\) | |||||||
\(488\) | −23.3620 | + | 12.9825i | −1.05755 | + | 0.587690i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −1.96864 | + | 8.36073i | −0.0889343 | + | 0.377699i | ||||
\(491\) | 21.9210 | + | 30.1717i | 0.989282 | + | 1.36163i | 0.931676 | + | 0.363291i | \(0.118347\pi\) |
0.0576063 | + | 0.998339i | \(0.481653\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −3.48864 | − | 3.48864i | −0.157121 | − | 0.157121i | ||||
\(494\) | 0.292200 | − | 3.14214i | 0.0131467 | − | 0.141371i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 15.4193 | − | 39.6475i | 0.692347 | − | 1.78023i | ||||
\(497\) | 24.8380 | + | 12.6556i | 1.11414 | + | 0.567680i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 13.5542 | 0.606769 | 0.303385 | − | 0.952868i | \(-0.401883\pi\) | ||||
0.303385 | + | 0.952868i | \(0.401883\pi\) | |||||||
\(500\) | 10.6915 | + | 19.6391i | 0.478137 | + | 0.878285i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 11.9510 | + | 30.0512i | 0.533399 | + | 1.34125i | ||||
\(503\) | 31.6307 | + | 16.1167i | 1.41034 | + | 0.718606i | 0.982676 | − | 0.185330i | \(-0.0593353\pi\) |
0.427668 | + | 0.903936i | \(0.359335\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 26.1751 | + | 18.2850i | 1.16478 | + | 0.813673i | ||||
\(506\) | −1.10208 | + | 11.8511i | −0.0489934 | + | 0.526845i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −21.9305 | − | 16.9045i | −0.973009 | − | 0.750015i | ||||
\(509\) | −5.94794 | − | 8.18664i | −0.263638 | − | 0.362866i | 0.656591 | − | 0.754247i | \(-0.271998\pi\) |
−0.920229 | + | 0.391380i | \(0.871998\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 8.45689 | − | 11.6399i | 0.374111 | − | 0.514919i | ||||
\(512\) | 21.8375 | − | 5.92658i | 0.965089 | − | 0.261920i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −13.8953 | + | 32.2445i | −0.612894 | + | 1.42224i | ||||
\(515\) | −13.2041 | − | 24.7674i | −0.581842 | − | 1.09138i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.723006 | − | 1.41898i | −0.0317978 | − | 0.0624067i | ||||
\(518\) | −7.50061 | + | 11.8589i | −0.329558 | + | 0.521050i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −3.64359 | + | 1.40774i | −0.159782 | + | 0.0617333i | ||||
\(521\) | 11.1158 | + | 34.2110i | 0.486994 | + | 1.49881i | 0.829072 | + | 0.559141i | \(0.188869\pi\) |
−0.342079 | + | 0.939671i | \(0.611131\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −22.2065 | + | 3.51717i | −0.971023 | + | 0.153795i | −0.621741 | − | 0.783223i | \(-0.713574\pi\) |
−0.349282 | + | 0.937018i | \(0.613574\pi\) | |||||||
\(524\) | 3.09245 | − | 1.46670i | 0.135094 | − | 0.0640730i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 2.15290 | + | 9.56321i | 0.0938710 | + | 0.416976i | ||||
\(527\) | 8.18553 | + | 51.6814i | 0.356567 | + | 2.25128i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 23.4472 | − | 7.61845i | 1.01944 | − | 0.331237i | ||||
\(530\) | 12.7172 | − | 15.0223i | 0.552400 | − | 0.652528i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 5.02333 | − | 14.0871i | 0.217789 | − | 0.610753i | ||||
\(533\) | 3.03816 | − | 1.54802i | 0.131597 | − | 0.0670521i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 2.14858 | + | 12.1071i | 0.0928914 | + | 0.523437i | ||||
\(536\) | −0.826717 | − | 22.9689i | −0.0357088 | − | 0.992107i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 39.0145 | − | 2.51414i | 1.68203 | − | 0.108392i | ||||
\(539\) | 2.67906 | + | 1.94645i | 0.115395 | + | 0.0838397i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 16.8088 | − | 12.2123i | 0.722666 | − | 0.525048i | −0.164569 | − | 0.986366i | \(-0.552623\pi\) |
0.887235 | + | 0.461318i | \(0.152623\pi\) | |||||||
\(542\) | −16.5234 | + | 13.7117i | −0.709739 | + | 0.588968i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −19.5302 | + | 19.8294i | −0.837350 | + | 0.850179i | ||||
\(545\) | −0.233316 | − | 12.5721i | −0.00999414 | − | 0.538528i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 1.88617 | − | 3.70181i | 0.0806466 | − | 0.158278i | −0.847162 | − | 0.531335i | \(-0.821690\pi\) |
0.927808 | + | 0.373057i | \(0.121690\pi\) | |||||||
\(548\) | −0.519171 | − | 0.758962i | −0.0221779 | − | 0.0324213i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 8.57649 | − | 0.873208i | 0.365703 | − | 0.0372337i | ||||
\(551\) | − | 3.62299i | − | 0.154345i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 6.60624 | − | 12.9655i | 0.280926 | − | 0.551348i | ||||
\(554\) | 22.2813 | − | 13.2229i | 0.946640 | − | 0.561786i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −9.23815 | + | 1.19560i | −0.391785 | + | 0.0507048i | ||||
\(557\) | 12.9204 | − | 12.9204i | 0.547455 | − | 0.547455i | −0.378249 | − | 0.925704i | \(-0.623474\pi\) |
0.925704 | + | 0.378249i | \(0.123474\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 1.94016 | − | 1.40961i | 0.0820602 | − | 0.0596202i | ||||
\(560\) | −18.3816 | + | 2.19566i | −0.776764 | + | 0.0927838i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 1.31022 | + | 20.3320i | 0.0552682 | + | 0.857653i | ||||
\(563\) | −0.508973 | + | 3.21353i | −0.0214506 | + | 0.135434i | −0.996090 | − | 0.0883493i | \(-0.971841\pi\) |
0.974639 | + | 0.223783i | \(0.0718408\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −10.9380 | − | 10.5394i | −0.460166 | − | 0.443397i | ||||
\(566\) | −31.0155 | − | 27.2601i | −1.30368 | − | 1.14583i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 4.60210 | − | 37.8158i | 0.193100 | − | 1.58672i | ||||
\(569\) | 18.5217 | + | 6.01805i | 0.776468 | + | 0.252290i | 0.670332 | − | 0.742062i | \(-0.266152\pi\) |
0.106137 | + | 0.994352i | \(0.466152\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −39.3841 | + | 12.7967i | −1.64817 | + | 0.535525i | −0.978343 | − | 0.206989i | \(-0.933634\pi\) |
−0.669832 | + | 0.742513i | \(0.733634\pi\) | |||||||
\(572\) | −0.0427251 | + | 1.50532i | −0.00178642 | + | 0.0629408i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 15.7657 | − | 3.54922i | 0.658046 | − | 0.148142i | ||||
\(575\) | −16.8002 | − | 30.1513i | −0.700616 | − | 1.25740i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 24.3357 | − | 3.85440i | 1.01311 | − | 0.160461i | 0.372261 | − | 0.928128i | \(-0.378583\pi\) |
0.640849 | + | 0.767667i | \(0.278583\pi\) | |||||||
\(578\) | 2.51980 | − | 9.87628i | 0.104810 | − | 0.410799i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −4.01551 | + | 1.99659i | −0.166735 | + | 0.0829037i | ||||
\(581\) | 4.50655 | − | 13.8697i | 0.186963 | − | 0.575413i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −3.44500 | − | 6.76119i | −0.142677 | − | 0.280020i | ||||
\(584\) | −18.9059 | − | 5.39928i | −0.782331 | − | 0.223424i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 5.52465 | + | 2.38076i | 0.228221 | + | 0.0983484i | ||||
\(587\) | −38.9053 | − | 6.16199i | −1.60579 | − | 0.254333i | −0.711789 | − | 0.702393i | \(-0.752115\pi\) |
−0.894003 | + | 0.448060i | \(0.852115\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −22.5854 | + | 31.0862i | −0.930617 | + | 1.28088i | ||||
\(590\) | −38.2008 | + | 16.0192i | −1.57270 | + | 0.659499i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 18.7387 | + | 4.06910i | 0.770156 | + | 0.167239i | ||||
\(593\) | 22.6547 | + | 22.6547i | 0.930317 | + | 0.930317i | 0.997725 | − | 0.0674081i | \(-0.0214730\pi\) |
−0.0674081 | + | 0.997725i | \(0.521473\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 18.1702 | − | 13.7237i | 0.744906 | − | 0.562616i | ||||
\(596\) | −26.9683 | − | 28.5439i | −1.10467 | − | 1.16920i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 5.60262 | − | 2.22810i | 0.229108 | − | 0.0911136i | ||||
\(599\) | 33.3301 | 1.36183 | 0.680916 | − | 0.732361i | \(-0.261582\pi\) | ||||
0.680916 | + | 0.732361i | \(0.261582\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −30.1376 | −1.22934 | −0.614669 | − | 0.788785i | \(-0.710710\pi\) | ||||
−0.614669 | + | 0.788785i | \(0.710710\pi\) | |||||||
\(602\) | 10.5613 | − | 4.20009i | 0.430445 | − | 0.171183i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 32.6598 | + | 34.5679i | 1.32891 | + | 1.40655i | ||||
\(605\) | −6.19722 | + | 20.3504i | −0.251953 | + | 0.827363i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 16.1185 | + | 16.1185i | 0.654230 | + | 0.654230i | 0.954009 | − | 0.299779i | \(-0.0969129\pi\) |
−0.299779 | + | 0.954009i | \(0.596913\pi\) | |||||||
\(608\) | −20.4377 | + | 0.155376i | −0.828857 | + | 0.00630134i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −19.5057 | − | 22.6372i | −0.789761 | − | 0.916553i | ||||
\(611\) | −0.474199 | + | 0.652680i | −0.0191841 | + | 0.0264046i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −41.4745 | − | 6.56892i | −1.67514 | − | 0.265316i | −0.754664 | − | 0.656112i | \(-0.772200\pi\) |
−0.920478 | + | 0.390795i | \(0.872200\pi\) | |||||||
\(614\) | −42.1016 | − | 18.1430i | −1.69908 | − | 0.732193i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −1.95991 | + | 6.86275i | −0.0789671 | + | 0.276508i | ||||
\(617\) | −10.3229 | − | 20.2599i | −0.415585 | − | 0.815632i | −0.999991 | − | 0.00417035i | \(-0.998673\pi\) |
0.584406 | − | 0.811461i | \(-0.301327\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −4.80555 | + | 14.7900i | −0.193151 | + | 0.594459i | 0.806842 | + | 0.590768i | \(0.201175\pi\) |
−0.999993 | + | 0.00369144i | \(0.998825\pi\) | |||||||
\(620\) | 46.9007 | + | 7.90115i | 1.88358 | + | 0.317318i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 3.46456 | − | 13.5793i | 0.138916 | − | 0.544479i | ||||
\(623\) | 29.2815 | − | 4.63774i | 1.17314 | − | 0.185807i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −19.0800 | + | 16.1540i | −0.763201 | + | 0.646161i | ||||
\(626\) | 17.1535 | − | 3.86165i | 0.685591 | − | 0.154343i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0.191266 | − | 6.73884i | 0.00763235 | − | 0.268909i | ||||
\(629\) | −22.4318 | + | 7.28854i | −0.894415 | + | 0.290613i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 9.56990 | + | 3.10945i | 0.380972 | + | 0.123785i | 0.493241 | − | 0.869893i | \(-0.335812\pi\) |
−0.112270 | + | 0.993678i | \(0.535812\pi\) | |||||||
\(632\) | −19.7399 | − | 2.40231i | −0.785212 | − | 0.0955586i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 4.49876 | + | 3.95405i | 0.178669 | + | 0.157035i | ||||
\(635\) | 13.5403 | − | 27.8396i | 0.537331 | − | 1.10478i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0.262425 | − | 1.65689i | 0.0103977 | − | 0.0656482i | ||||
\(638\) | 0.111184 | + | 1.72535i | 0.00440181 | + | 0.0683073i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 11.4352 | + | 22.5663i | 0.452014 | + | 0.892011i | ||||
\(641\) | 2.79699 | − | 2.03213i | 0.110474 | − | 0.0802644i | −0.531176 | − | 0.847261i | \(-0.678250\pi\) |
0.641651 | + | 0.766997i | \(0.278250\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 17.1130 | − | 17.1130i | 0.674871 | − | 0.674871i | −0.283964 | − | 0.958835i | \(-0.591650\pi\) |
0.958835 | + | 0.283964i | \(0.0916496\pi\) | |||||||
\(644\) | 28.3391 | − | 3.66765i | 1.11672 | − | 0.144526i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 21.6192 | − | 12.8299i | 0.850594 | − | 0.504787i | ||||
\(647\) | −16.5566 | + | 32.4942i | −0.650909 | + | 1.27748i | 0.295757 | + | 0.955263i | \(0.404428\pi\) |
−0.946666 | + | 0.322217i | \(0.895572\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 15.9703i | 0.626888i | ||||||||
\(650\) | −2.36657 | − | 3.67031i | −0.0928247 | − | 0.143961i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −6.69405 | − | 9.78586i | −0.262159 | − | 0.383244i | ||||
\(653\) | 18.6301 | − | 36.5636i | 0.729051 | − | 1.43084i | −0.166573 | − | 0.986029i | \(-0.553270\pi\) |
0.895623 | − | 0.444813i | \(-0.146730\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 2.30629 | + | 3.05354i | 0.0901141 | + | 0.119312i | ||||
\(656\) | −11.9464 | − | 18.5738i | −0.466428 | − | 0.725187i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −2.94235 | + | 2.44167i | −0.114705 | + | 0.0951861i | ||||
\(659\) | −25.5515 | + | 18.5642i | −0.995344 | + | 0.723160i | −0.961085 | − | 0.276253i | \(-0.910907\pi\) |
−0.0342591 | + | 0.999413i | \(0.510907\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −6.57518 | − | 4.77715i | −0.255745 | − | 0.185810i | 0.452524 | − | 0.891752i | \(-0.350524\pi\) |
−0.708269 | + | 0.705943i | \(0.750524\pi\) | |||||||
\(662\) | 12.1429 | − | 0.782506i | 0.471949 | − | 0.0304130i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −19.9164 | + | 0.716848i | −0.772906 | + | 0.0278191i | ||||
\(665\) | 16.5611 | + | 2.30888i | 0.642211 | + | 0.0895347i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 6.16777 | − | 3.14263i | 0.238817 | − | 0.121683i | ||||
\(668\) | 9.01510 | − | 25.2813i | 0.348805 | − | 0.978165i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 24.9602 | − | 6.10787i | 0.964298 | − | 0.235968i | ||||
\(671\) | −10.9566 | + | 3.56001i | −0.422974 | + | 0.137433i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −4.92681 | − | 31.1067i | −0.189915 | − | 1.19907i | −0.879867 | − | 0.475220i | \(-0.842369\pi\) |
0.689952 | − | 0.723855i | \(-0.257631\pi\) | |||||||
\(674\) | 0.214173 | + | 0.951360i | 0.00824965 | + | 0.0366450i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −22.8025 | + | 10.8148i | −0.877017 | + | 0.415955i | ||||
\(677\) | 4.81004 | − | 0.761836i | 0.184865 | − | 0.0292797i | −0.0633155 | − | 0.997994i | \(-0.520167\pi\) |
0.248180 | + | 0.968714i | \(0.420167\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −2.63314 | − | 8.10396i | −0.101050 | − | 0.311001i | ||||
\(680\) | −26.1340 | − | 16.8910i | −1.00219 | − | 0.647740i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 9.80172 | − | 15.4971i | 0.375327 | − | 0.593413i | ||||
\(683\) | −3.12436 | − | 6.13190i | −0.119550 | − | 0.234631i | 0.823474 | − | 0.567353i | \(-0.192033\pi\) |
−0.943025 | + | 0.332723i | \(0.892033\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0.713350 | − | 0.740327i | 0.0272557 | − | 0.0282865i | ||||
\(686\) | 11.2551 | − | 26.1179i | 0.429722 | − | 0.997185i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −10.3422 | − | 11.5881i | −0.394294 | − | 0.441792i | ||||
\(689\) | −2.25948 | + | 3.10990i | −0.0860792 | + | 0.118478i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 6.99922 | + | 9.63360i | 0.266263 | + | 0.366480i | 0.921124 | − | 0.389270i | \(-0.127273\pi\) |
−0.654861 | + | 0.755750i | \(0.727273\pi\) | |||||||
\(692\) | −25.5428 | − | 19.6889i | −0.970990 | − | 0.748459i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −3.36907 | + | 36.2289i | −0.127888 | + | 1.37523i | ||||
\(695\) | −3.40156 | − | 9.84356i | −0.129028 | − | 0.373387i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 24.2032 | + | 12.3321i | 0.916760 | + | 0.467113i | ||||
\(698\) | 15.4978 | + | 38.9697i | 0.586600 | + | 1.47503i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −6.56757 | − | 19.6277i | −0.248231 | − | 0.741858i | ||||
\(701\) | −33.9745 | −1.28320 | −0.641600 | − | 0.767040i | \(-0.721729\pi\) | ||||
−0.641600 | + | 0.767040i | \(0.721729\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −15.4324 | − | 7.86322i | −0.582045 | − | 0.296567i | ||||
\(704\) | 9.72812 | − | 0.701193i | 0.366642 | − | 0.0264272i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −4.36754 | + | 46.9658i | −0.164375 | + | 1.76758i | ||||
\(707\) | −20.8979 | − | 20.8979i | −0.785948 | − | 0.785948i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −9.76306 | − | 13.4377i | −0.366659 | − | 0.504663i | 0.585330 | − | 0.810795i | \(-0.300965\pi\) |
−0.951989 | + | 0.306132i | \(0.900965\pi\) | |||||||
\(710\) | 42.4450 | − | 3.52713i | 1.59293 | − | 0.132371i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −19.6795 | − | 35.4132i | −0.737520 | − | 1.32717i | ||||
\(713\) | −72.5120 | − | 11.4848i | −2.71560 | − | 0.430108i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.65778 | + | 0.294197i | −0.0619974 | + | 0.0110023i | ||||
\(716\) | −10.6387 | − | 5.80660i | −0.397586 | − | 0.217003i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 4.86689 | − | 7.69483i | 0.181631 | − | 0.287169i | ||||
\(719\) | 11.5947 | − | 35.6849i | 0.432410 | − | 1.33082i | −0.463307 | − | 0.886198i | \(-0.653337\pi\) |
0.895717 | − | 0.444624i | \(-0.146663\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 8.02809 | + | 24.7079i | 0.298982 | + | 0.920171i | ||||
\(722\) | −8.14815 | − | 2.07889i | −0.303243 | − | 0.0773682i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −19.5987 | − | 41.3226i | −0.728378 | − | 1.53574i | ||||
\(725\) | −3.09552 | − | 3.94412i | −0.114965 | − | 0.146481i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −5.20051 | − | 32.8348i | −0.192876 | − | 1.21777i | −0.874118 | − | 0.485715i | \(-0.838559\pi\) |
0.681241 | − | 0.732059i | \(-0.261441\pi\) | |||||||
\(728\) | 3.54835 | − | 0.693673i | 0.131511 | − | 0.0257092i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 1.62897 | − | 21.9221i | 0.0602911 | − | 0.811372i | ||||
\(731\) | 18.1698 | + | 5.90372i | 0.672033 | + | 0.218357i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 28.4963 | − | 14.5196i | 1.05254 | − | 0.536294i | 0.159928 | − | 0.987129i | \(-0.448874\pi\) |
0.892607 | + | 0.450835i | \(0.148874\pi\) | |||||||
\(734\) | 9.20493 | − | 10.4730i | 0.339760 | − | 0.386565i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −17.9924 | − | 34.6582i | −0.663210 | − | 1.27752i | ||||
\(737\) | 1.54979 | − | 9.78500i | 0.0570873 | − | 0.360435i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −14.5373 | − | 10.5619i | −0.534762 | − | 0.388527i | 0.287374 | − | 0.957818i | \(-0.407218\pi\) |
−0.822136 | + | 0.569291i | \(0.807218\pi\) | |||||||
\(740\) | −0.210501 | + | 21.4377i | −0.00773818 | + | 0.788067i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −14.0198 | + | 11.6341i | −0.514682 | + | 0.427102i | ||||
\(743\) | 13.7539 | − | 13.7539i | 0.504581 | − | 0.504581i | −0.408277 | − | 0.912858i | \(-0.633870\pi\) |
0.912858 | + | 0.408277i | \(0.133870\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 25.1426 | − | 35.9917i | 0.921153 | − | 1.31864i | ||||
\(746\) | 7.30182 | + | 12.3040i | 0.267338 | + | 0.450480i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −9.90181 | + | 6.77337i | −0.362046 | + | 0.247659i | ||||
\(749\) | − | 11.3816i | − | 0.415875i | ||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 1.95838i | − | 0.0714623i | −0.999361 | − | 0.0357311i | \(-0.988624\pi\) | ||
0.999361 | − | 0.0357311i | \(-0.0113760\pi\) | |||||||
\(752\) | 4.51352 | + | 2.63237i | 0.164591 | + | 0.0959927i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0.753193 | − | 0.446984i | 0.0274297 | − | 0.0162782i | ||||
\(755\) | −30.4487 | + | 43.5875i | −1.10814 | + | 1.58631i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −17.8464 | + | 17.8464i | −0.648640 | + | 0.648640i | −0.952664 | − | 0.304025i | \(-0.901670\pi\) |
0.304025 | + | 0.952664i | \(0.401670\pi\) | |||||||
\(758\) | 16.7399 | + | 20.1725i | 0.608019 | + | 0.732698i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −4.79949 | − | 22.3409i | −0.174096 | − | 0.810391i | ||||
\(761\) | 9.56396 | + | 6.94862i | 0.346693 | + | 0.251887i | 0.747481 | − | 0.664284i | \(-0.231263\pi\) |
−0.400787 | + | 0.916171i | \(0.631263\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −1.82072 | + | 11.4956i | −0.0659145 | + | 0.416168i | ||||
\(764\) | 15.7748 | + | 2.95952i | 0.570712 | + | 0.107072i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 11.0216 | + | 9.68714i | 0.398228 | + | 0.350011i | ||||
\(767\) | 7.20842 | − | 3.67288i | 0.260281 | − | 0.132620i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 19.4145 | + | 6.30814i | 0.700103 | + | 0.227477i | 0.637375 | − | 0.770553i | \(-0.280020\pi\) |
0.0627276 | + | 0.998031i | \(0.480020\pi\) | |||||||
\(770\) | −7.95761 | − | 0.591311i | −0.286773 | − | 0.0213094i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 20.1404 | + | 0.571638i | 0.724870 | + | 0.0205737i | ||||
\(773\) | 3.16880 | + | 20.0070i | 0.113974 | + | 0.719603i | 0.976808 | + | 0.214116i | \(0.0686870\pi\) |
−0.862834 | + | 0.505487i | \(0.831313\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 1.97301 | + | 53.1388i | 0.0708725 | + | 1.90880i | ||||
\(776\) | −9.16832 | + | 7.17890i | −0.329123 | + | 0.257707i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 9.88038 | − | 38.7259i | 0.354229 | − | 1.38839i | ||||
\(779\) | 6.16410 | + | 18.9711i | 0.220852 | + | 0.679711i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 5.07419 | − | 15.6168i | 0.181569 | − | 0.558812i | ||||
\(782\) | 40.5944 | + | 25.6755i | 1.45165 | + | 0.918155i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −10.8473 | − | 0.616246i | −0.387404 | − | 0.0220088i | ||||
\(785\) | 7.42134 | − | 1.31702i | 0.264879 | − | 0.0470065i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 49.0348 | + | 7.76635i | 1.74790 | + | 0.276841i | 0.946832 | − | 0.321729i | \(-0.104264\pi\) |
0.801071 | + | 0.598570i | \(0.204264\pi\) | |||||||
\(788\) | −28.7332 | + | 8.44261i | −1.02358 | + | 0.300755i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −1.84117 | − | 22.1564i | −0.0655059 | − | 0.788288i | ||||
\(791\) | 8.26401 | + | 11.3744i | 0.293834 | + | 0.404428i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 4.12668 | + | 4.12668i | 0.146543 | + | 0.146543i | ||||
\(794\) | 20.6036 | + | 1.91601i | 0.731195 | + | 0.0679968i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 6.92184 | − | 6.53976i | 0.245338 | − | 0.231796i | ||||
\(797\) | −10.0858 | − | 5.13896i | −0.357257 | − | 0.182031i | 0.266145 | − | 0.963933i | \(-0.414250\pi\) |
−0.623402 | + | 0.781902i | \(0.714250\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −6.42694 | −0.227369 | ||||||||
\(800\) | −22.1164 | + | 17.6313i | −0.781935 | + | 0.623361i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −24.1790 | + | 9.61570i | −0.853791 | + | 0.339542i | ||||
\(803\) | −7.55131 | − | 3.84758i | −0.266480 | − | 0.135778i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 10.4347 | + | 30.1963i | 0.367774 | + | 1.06428i | ||||
\(806\) | −9.24905 | − | 0.860106i | −0.325784 | − | 0.0302960i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −17.0294 | + | 36.6219i | −0.599091 | + | 1.28836i | ||||
\(809\) | 9.99015 | + | 13.7503i | 0.351235 | + | 0.483434i | 0.947681 | − | 0.319220i | \(-0.103421\pi\) |
−0.596446 | + | 0.802653i | \(0.703421\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 13.4786 | − | 18.5517i | 0.473299 | − | 0.651440i | −0.503901 | − | 0.863761i | \(-0.668102\pi\) |
0.977200 | + | 0.212322i | \(0.0681024\pi\) | |||||||
\(812\) | 3.98255 | − | 1.17018i | 0.139760 | − | 0.0410653i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 7.59059 | + | 3.27105i | 0.266050 | + | 0.114650i | ||||
\(815\) | 9.19774 | − | 9.54559i | 0.322183 | − | 0.334367i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 6.36921 | + | 12.5003i | 0.222830 | + | 0.437329i | ||||
\(818\) | −2.12922 | − | 1.34671i | −0.0744465 | − | 0.0470865i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 17.6295 | − | 17.2867i | 0.615650 | − | 0.603677i | ||||
\(821\) | −6.99281 | − | 21.5217i | −0.244051 | − | 0.751111i | −0.995791 | − | 0.0916520i | \(-0.970785\pi\) |
0.751740 | − | 0.659459i | \(-0.229215\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −53.8434 | + | 8.52795i | −1.87686 | + | 0.297266i | −0.987216 | − | 0.159386i | \(-0.949049\pi\) |
−0.889646 | + | 0.456652i | \(0.849049\pi\) | |||||||
\(824\) | 27.9530 | − | 21.8875i | 0.973789 | − | 0.762488i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 37.4061 | − | 8.42100i | 1.30153 | − | 0.293004i | ||||
\(827\) | −2.96544 | − | 18.7231i | −0.103119 | − | 0.651065i | −0.984060 | − | 0.177839i | \(-0.943089\pi\) |
0.880941 | − | 0.473226i | \(-0.156911\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −3.94785 | + | 1.28273i | −0.137114 | + | 0.0445512i | −0.376770 | − | 0.926307i | \(-0.622965\pi\) |
0.239656 | + | 0.970858i | \(0.422965\pi\) | |||||||
\(830\) | −5.29615 | − | 21.6431i | −0.183832 | − | 0.751242i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −2.55379 | − | 4.22967i | −0.0885366 | − | 0.146637i | ||||
\(833\) | 11.9074 | − | 6.06710i | 0.412566 | − | 0.210213i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 29.7213 | + | 4.14363i | 1.02855 | + | 0.143396i | ||||
\(836\) | −8.65867 | − | 1.62446i | −0.299466 | − | 0.0561830i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −3.69520 | − | 57.3422i | −0.127649 | − | 1.98085i | ||||
\(839\) | 2.92007 | + | 2.12156i | 0.100812 | + | 0.0732443i | 0.637049 | − | 0.770823i | \(-0.280155\pi\) |
−0.536237 | + | 0.844067i | \(0.680155\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −22.6480 | + | 16.4547i | −0.780965 | + | 0.567405i | ||||
\(842\) | −8.46938 | − | 10.2061i | −0.291874 | − | 0.351725i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −0.298429 | − | 2.30589i | −0.0102723 | − | 0.0793721i | ||||
\(845\) | −17.0056 | − | 22.5155i | −0.585012 | − | 0.774558i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 8.93938 | − | 17.5445i | 0.307161 | − | 0.602837i | ||||
\(848\) | 21.5061 | + | 12.5428i | 0.738524 | + | 0.430721i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 12.5734 | − | 32.4388i | 0.431264 | − | 1.11264i | ||||
\(851\) | − | 33.0928i | − | 1.13441i | ||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −2.88314 | + | 5.65849i | −0.0987169 | + | 0.193743i | −0.935083 | − | 0.354428i | \(-0.884676\pi\) |
0.836366 | + | 0.548171i | \(0.184676\pi\) | |||||||
\(854\) | 14.1157 | + | 23.7857i | 0.483029 | + | 0.813930i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −14.6100 | + | 5.33533i | −0.499360 | + | 0.182358i | ||||
\(857\) | −0.669915 | + | 0.669915i | −0.0228838 | + | 0.0228838i | −0.718456 | − | 0.695572i | \(-0.755151\pi\) |
0.695572 | + | 0.718456i | \(0.255151\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 6.89179 | − | 5.00718i | 0.235145 | − | 0.170843i | −0.463973 | − | 0.885849i | \(-0.653576\pi\) |
0.699117 | + | 0.715007i | \(0.253576\pi\) | |||||||
\(860\) | 10.3446 | − | 13.9480i | 0.352747 | − | 0.475623i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 5.25809 | − | 0.338838i | 0.179091 | − | 0.0115409i | ||||
\(863\) | 1.83066 | − | 11.5583i | 0.0623164 | − | 0.393451i | −0.936740 | − | 0.350025i | \(-0.886173\pi\) |
0.999057 | − | 0.0434252i | \(-0.0138270\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 15.7706 | − | 32.4252i | 0.536216 | − | 1.10249i | ||||
\(866\) | 5.80369 | − | 6.60321i | 0.197217 | − | 0.224386i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −41.4661 | − | 14.7864i | −1.40745 | − | 0.501884i | ||||
\(869\) | −8.15198 | − | 2.64874i | −0.276537 | − | 0.0898523i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −4.77303 | + | 1.55085i | −0.161728 | + | 0.0525486i | ||||
\(872\) | 15.6098 | − | 3.05158i | 0.528614 | − | 0.103340i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 7.74672 | + | 34.4110i | 0.262037 | + | 1.16397i | ||||
\(875\) | 20.0017 | − | 11.6364i | 0.676182 | − | 0.393382i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 27.8979 | − | 4.41859i | 0.942044 | − | 0.149205i | 0.333522 | − | 0.942742i | \(-0.391763\pi\) |
0.608522 | + | 0.793537i | \(0.291763\pi\) | |||||||
\(878\) | 1.37810 | + | 0.351604i | 0.0465087 | + | 0.0118661i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 2.97124 | + | 10.4920i | 0.100160 | + | 0.353685i | ||||
\(881\) | −7.87708 | + | 24.2432i | −0.265386 | + | 0.816773i | 0.726219 | + | 0.687464i | \(0.241276\pi\) |
−0.991604 | + | 0.129309i | \(0.958724\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −7.98248 | − | 15.6665i | −0.268632 | − | 0.527219i | 0.716803 | − | 0.697276i | \(-0.245605\pi\) |
−0.985434 | + | 0.170057i | \(0.945605\pi\) | |||||||
\(884\) | 5.33450 | + | 2.91158i | 0.179419 | + | 0.0979269i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −8.14775 | + | 18.9071i | −0.273729 | + | 0.635198i | ||||
\(887\) | 24.9107 | + | 3.94547i | 0.836421 | + | 0.132476i | 0.559929 | − | 0.828540i | \(-0.310828\pi\) |
0.276491 | + | 0.961016i | \(0.410828\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −16.8430 | + | 23.1823i | −0.564895 | + | 0.777511i | ||||
\(890\) | 34.3145 | − | 29.5676i | 1.15022 | − | 0.991107i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 26.2761 | − | 34.0885i | 0.879788 | − | 1.14137i | ||||
\(893\) | −3.33722 | − | 3.33722i | −0.111676 | − | 0.111676i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 3.94756 | − | 12.9630i | 0.131952 | − | 0.433305i | ||||
\(896\) | −6.77192 | − | 22.4158i | −0.226234 | − | 0.748859i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −9.52948 | − | 23.9622i | −0.318003 | − | 0.799629i | ||||
\(899\) | −10.6645 | −0.355680 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −30.6232 | −1.02021 | ||||||||
\(902\) | −3.51768 | − | 8.84532i | −0.117126 | − | 0.294517i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 10.7269 | − | 15.9401i | 0.356771 | − | 0.530158i | ||||
\(905\) | 40.8027 | − | 30.8176i | 1.35633 | − | 1.02441i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 20.9210 | + | 20.9210i | 0.694669 | + | 0.694669i | 0.963256 | − | 0.268586i | \(-0.0865565\pi\) |
−0.268586 | + | 0.963256i | \(0.586556\pi\) | |||||||
\(908\) | 10.6964 | + | 8.24502i | 0.354973 | + | 0.273620i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 1.56321 | + | 3.72778i | 0.0518200 | + | 0.123575i | ||||
\(911\) | −16.8211 | + | 23.1523i | −0.557309 | + | 0.767070i | −0.990981 | − | 0.134000i | \(-0.957218\pi\) |
0.433672 | + | 0.901071i | \(0.357218\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −8.48459 | − | 1.34383i | −0.280799 | − | 0.0444742i | ||||
\(914\) | −16.1923 | + | 37.5748i | −0.535593 | + | 1.24286i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −19.2234 | + | 35.2205i | −0.635160 | + | 1.16372i | ||||
\(917\) | −1.60802 | − | 3.15592i | −0.0531016 | − | 0.104218i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −7.46481 | + | 22.9743i | −0.246241 | + | 0.757853i | 0.749188 | + | 0.662357i | \(0.230444\pi\) |
−0.995430 | + | 0.0954962i | \(0.969556\pi\) | |||||||
\(920\) | 33.8700 | − | 27.5495i | 1.11666 | − | 0.908280i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 2.13696 | + | 0.545217i | 0.0703771 | + | 0.0179558i | ||||
\(923\) | −8.21583 | + | 1.30126i | −0.270427 | + | 0.0428315i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −23.5187 | + | 4.62544i | −0.773291 | + | 0.152083i | ||||
\(926\) | 3.55103 | + | 15.7737i | 0.116694 | + | 0.518356i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −3.36899 | − | 4.56366i | −0.110593 | − | 0.149809i | ||||
\(929\) | 29.1865 | − | 9.48327i | 0.957579 | − | 0.311136i | 0.211787 | − | 0.977316i | \(-0.432072\pi\) |
0.745791 | + | 0.666180i | \(0.232072\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 9.33333 | + | 3.03258i | 0.305888 | + | 0.0993889i | ||||
\(932\) | 3.65627 | − | 10.2534i | 0.119765 | − | 0.335862i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −25.6926 | + | 29.2320i | −0.840686 | + | 0.956499i | ||||
\(935\) | −9.65869 | − | 9.30672i | −0.315873 | − | 0.304362i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −5.74987 | + | 36.3032i | −0.187840 | + | 1.18598i | 0.695950 | + | 0.718091i | \(0.254984\pi\) |
−0.883790 | + | 0.467885i | \(0.845016\pi\) | |||||||
\(938\) | −23.7360 | + | 1.52958i | −0.775007 | + | 0.0499424i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −1.85968 | + | 5.53788i | −0.0606560 | + | 0.180626i | ||||
\(941\) | 17.5281 | − | 12.7349i | 0.571401 | − | 0.415147i | −0.264213 | − | 0.964464i | \(-0.585112\pi\) |
0.835614 | + | 0.549317i | \(0.185112\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −26.9496 | + | 26.9496i | −0.877599 | + | 0.877599i | ||||
\(944\) | −28.3444 | − | 44.0689i | −0.922531 | − | 1.43432i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −3.41678 | − | 5.75746i | −0.111089 | − | 0.187191i | ||||
\(947\) | −15.1008 | + | 29.6371i | −0.490711 | + | 0.963075i | 0.504320 | + | 0.863517i | \(0.331743\pi\) |
−0.995032 | + | 0.0995587i | \(0.968257\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 4.29327i | 0.139366i | ||||||||
\(950\) | 23.3728 | − | 10.3152i | 0.758314 | − | 0.334670i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 21.0860 | + | 19.6208i | 0.683400 | + | 0.635914i | ||||
\(953\) | −12.4971 | + | 24.5269i | −0.404819 | + | 0.794503i | −0.999958 | − | 0.00911989i | \(-0.997097\pi\) |
0.595139 | + | 0.803623i | \(0.297097\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0.332961 | + | 17.9414i | 0.0107744 | + | 0.580569i | ||||
\(956\) | −27.6785 | + | 3.58215i | −0.895187 | + | 0.115855i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −0.294955 | − | 0.355438i | −0.00952957 | − | 0.0114837i | ||||
\(959\) | −0.769866 | + | 0.559340i | −0.0248603 | + | 0.0180620i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 66.4244 | + | 48.2601i | 2.14272 | + | 1.55678i | ||||
\(962\) | −0.269262 | − | 4.17841i | −0.00868136 | − | 0.134717i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 6.10741 | − | 32.5537i | 0.196706 | − | 1.04848i | ||||
\(965\) | 3.93619 | + | 22.1802i | 0.126711 | + | 0.714006i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −35.2063 | + | 17.9385i | −1.13216 | + | 0.576863i | −0.916671 | − | 0.399644i | \(-0.869134\pi\) |
−0.215487 | + | 0.976507i | \(0.569134\pi\) | |||||||
\(968\) | −26.7115 | − | 3.25073i | −0.858541 | − | 0.104483i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −9.93654 | − | 8.41181i | −0.319043 | − | 0.270087i | ||||
\(971\) | 15.6458 | − | 5.08364i | 0.502099 | − | 0.163142i | −0.0470070 | − | 0.998895i | \(-0.514968\pi\) |
0.549106 | + | 0.835753i | \(0.314968\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 1.50803 | + | 9.52131i | 0.0483451 | + | 0.305239i | ||||
\(974\) | −7.37169 | + | 1.65954i | −0.236204 | + | 0.0531751i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 23.9155 | − | 29.2696i | 0.765518 | − | 0.936896i | ||||
\(977\) | 1.13863 | − | 0.180341i | 0.0364279 | − | 0.00576961i | −0.138194 | − | 0.990405i | \(-0.544130\pi\) |
0.174622 | + | 0.984636i | \(0.444130\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −5.39642 | − | 16.6085i | −0.172470 | − | 0.530809i | ||||
\(980\) | −1.78235 | − | 12.0157i | −0.0569351 | − | 0.383829i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −44.5745 | − | 28.1929i | −1.42243 | − | 0.899671i | ||||
\(983\) | 0.911754 | + | 1.78942i | 0.0290804 | + | 0.0570735i | 0.905090 | − | 0.425221i | \(-0.139804\pi\) |
−0.876009 | + | 0.482294i | \(0.839804\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −15.7518 | − | 29.5462i | −0.501894 | − | 0.941419i | ||||
\(986\) | 6.40764 | + | 2.76127i | 0.204061 | + | 0.0879369i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 1.25812 | + | 4.28182i | 0.0400260 | + | 0.136223i | ||||
\(989\) | −15.7557 | + | 21.6858i | −0.501002 | + | 0.689570i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −14.2213 | − | 19.5739i | −0.451754 | − | 0.621786i | 0.521019 | − | 0.853545i | \(-0.325552\pi\) |
−0.972773 | + | 0.231759i | \(0.925552\pi\) | |||||||
\(992\) | 0.457359 | + | 60.1594i | 0.0145212 | + | 1.91006i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −39.2537 | − | 3.65036i | −1.24505 | − | 0.115782i | ||||
\(995\) | 8.72793 | + | 6.09703i | 0.276694 | + | 0.193289i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 38.9735 | + | 19.8580i | 1.23430 | + | 0.628909i | 0.944605 | − | 0.328209i | \(-0.106445\pi\) |
0.289699 | + | 0.957118i | \(0.406445\pi\) | |||||||
\(998\) | −17.8117 | + | 7.08349i | −0.563819 | + | 0.224224i | ||||
\(999\) | 0 | 0 |
(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 | 900.2.bj.f.163.5 | 240 | ||
3.2 | odd | 2 | 300.2.w.a.163.26 | yes | 240 | ||
4.3 | odd | 2 | inner | 900.2.bj.f.163.1 | 240 | ||
12.11 | even | 2 | 300.2.w.a.163.30 | yes | 240 | ||
25.2 | odd | 20 | inner | 900.2.bj.f.127.1 | 240 | ||
75.2 | even | 20 | 300.2.w.a.127.30 | yes | 240 | ||
100.27 | even | 20 | inner | 900.2.bj.f.127.5 | 240 | ||
300.227 | odd | 20 | 300.2.w.a.127.26 | ✓ | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.w.a.127.26 | ✓ | 240 | 300.227 | odd | 20 | ||
300.2.w.a.127.30 | yes | 240 | 75.2 | even | 20 | ||
300.2.w.a.163.26 | yes | 240 | 3.2 | odd | 2 | ||
300.2.w.a.163.30 | yes | 240 | 12.11 | even | 2 | ||
900.2.bj.f.127.1 | 240 | 25.2 | odd | 20 | inner | ||
900.2.bj.f.127.5 | 240 | 100.27 | even | 20 | inner | ||
900.2.bj.f.163.1 | 240 | 4.3 | odd | 2 | inner | ||
900.2.bj.f.163.5 | 240 | 1.1 | even | 1 | trivial |