Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [552,2,Mod(25,552)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(552, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("552.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 552 = 2^{3} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 552.q (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.40774219157\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 25.1 | ||
Character | \(\chi\) | \(=\) | 552.25 |
Dual form | 552.2.q.b.265.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(185\) | \(277\) | \(415\) |
\(\chi(n)\) | \(e\left(\frac{1}{11}\right)\) | \(1\) | \(1\) | \(1\) |
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 | 0 | ||||||||
\(3\) | −0.142315 | − | 0.989821i | −0.0821655 | − | 0.571474i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.911030 | − | 0.267503i | −0.407425 | − | 0.119631i | 0.0715970 | − | 0.997434i | \(-0.477190\pi\) |
−0.479022 | + | 0.877803i | \(0.659009\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.46467 | + | 1.69032i | −0.553593 | + | 0.638880i | −0.961716 | − | 0.274047i | \(-0.911638\pi\) |
0.408124 | + | 0.912927i | \(0.366183\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.959493 | + | 0.281733i | −0.319831 | + | 0.0939109i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −3.17727 | + | 2.04191i | −0.957982 | + | 0.615658i | −0.923439 | − | 0.383745i | \(-0.874634\pi\) |
−0.0345433 | + | 0.999403i | \(0.510998\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.129165 | − | 0.149064i | −0.0358239 | − | 0.0413430i | 0.737555 | − | 0.675287i | \(-0.235980\pi\) |
−0.773379 | + | 0.633944i | \(0.781435\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.135127 | + | 0.939827i | −0.0348896 | + | 0.242662i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −1.19770 | + | 2.62260i | −0.290485 | + | 0.636074i | −0.997465 | − | 0.0711596i | \(-0.977330\pi\) |
0.706979 | + | 0.707234i | \(0.250057\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.90178 | + | 4.16431i | 0.436297 | + | 0.955358i | 0.992263 | + | 0.124153i | \(0.0396213\pi\) |
−0.555966 | + | 0.831205i | \(0.687651\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.88156 | + | 1.20920i | 0.410589 | + | 0.263870i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −4.06339 | + | 2.54732i | −0.847275 | + | 0.531154i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.44785 | − | 2.21580i | −0.689570 | − | 0.443160i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.415415 | + | 0.909632i | 0.0799467 | + | 0.175059i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 0.572550 | − | 1.25371i | 0.106320 | − | 0.232808i | −0.848993 | − | 0.528404i | \(-0.822791\pi\) |
0.955313 | + | 0.295595i | \(0.0955180\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.120729 | + | 0.839689i | −0.0216836 | + | 0.150813i | −0.997787 | − | 0.0664950i | \(-0.978818\pi\) |
0.976103 | + | 0.217308i | \(0.0697275\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 2.47329 | + | 2.85433i | 0.430545 | + | 0.496876i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 1.78652 | − | 1.14813i | 0.301977 | − | 0.194069i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.57420 | − | 1.63673i | 0.916392 | − | 0.269077i | 0.210663 | − | 0.977559i | \(-0.432438\pi\) |
0.705729 | + | 0.708482i | \(0.250619\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −0.129165 | + | 0.149064i | −0.0206829 | + | 0.0238694i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 1.39683 | + | 0.410145i | 0.218147 | + | 0.0640539i | 0.388980 | − | 0.921246i | \(-0.372828\pi\) |
−0.170833 | + | 0.985300i | \(0.554646\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.75923 | + | 12.2357i | 0.268281 | + | 1.86593i | 0.464777 | + | 0.885428i | \(0.346134\pi\) |
−0.196497 | + | 0.980504i | \(0.562957\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.949491 | 0.141542 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −13.0666 | −1.90595 | −0.952976 | − | 0.303045i | \(-0.901997\pi\) | ||||
−0.952976 | + | 0.303045i | \(0.901997\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.284285 | + | 1.97724i | 0.0406121 | + | 0.282463i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 2.76636 | + | 0.812276i | 0.387368 | + | 0.113741i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −0.0705505 | + | 0.0814196i | −0.00969085 | + | 0.0111838i | −0.760574 | − | 0.649251i | \(-0.775083\pi\) |
0.750883 | + | 0.660435i | \(0.229628\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.44080 | − | 1.01031i | 0.463958 | − | 0.136230i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 3.85127 | − | 2.47506i | 0.510113 | − | 0.327830i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −3.66065 | − | 4.22462i | −0.476576 | − | 0.549998i | 0.465653 | − | 0.884967i | \(-0.345820\pi\) |
−0.942229 | + | 0.334969i | \(0.891274\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.04249 | − | 7.25071i | 0.133478 | − | 0.928358i | −0.807495 | − | 0.589875i | \(-0.799177\pi\) |
0.940972 | − | 0.338483i | \(-0.109914\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0.929121 | − | 2.03449i | 0.117058 | − | 0.256322i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0.0777980 | + | 0.170354i | 0.00964966 | + | 0.0211298i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −4.74992 | − | 3.05259i | −0.580295 | − | 0.372933i | 0.217320 | − | 0.976100i | \(-0.430269\pi\) |
−0.797614 | + | 0.603168i | \(0.793905\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 3.09968 | + | 3.65951i | 0.373157 | + | 0.440553i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −11.1779 | − | 7.18362i | −1.32658 | − | 0.852539i | −0.330742 | − | 0.943721i | \(-0.607299\pi\) |
−0.995834 | + | 0.0911822i | \(0.970935\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.58219 | + | 5.65422i | 0.302223 | + | 0.661776i | 0.998427 | − | 0.0560679i | \(-0.0178563\pi\) |
−0.696204 | + | 0.717844i | \(0.745129\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −1.70256 | + | 3.72810i | −0.196595 | + | 0.430483i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 1.20217 | − | 8.36130i | 0.137000 | − | 0.952859i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.0200761 | − | 0.0231691i | −0.00225874 | − | 0.00260672i | 0.754619 | − | 0.656163i | \(-0.227822\pi\) |
−0.756878 | + | 0.653556i | \(0.773276\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0.841254 | − | 0.540641i | 0.0934726 | − | 0.0600712i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 9.43824 | − | 2.77132i | 1.03598 | − | 0.304192i | 0.280841 | − | 0.959754i | \(-0.409387\pi\) |
0.755141 | + | 0.655563i | \(0.227569\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.79270 | − | 2.06888i | 0.194445 | − | 0.224402i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −1.32243 | − | 0.388301i | −0.141780 | − | 0.0416302i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 0.111235 | + | 0.773655i | 0.0117909 | + | 0.0820072i | 0.994867 | − | 0.101189i | \(-0.0322647\pi\) |
−0.983076 | + | 0.183196i | \(0.941356\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.441150 | 0.0462450 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0.848324 | 0.0879671 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −0.618612 | − | 4.30254i | −0.0634682 | − | 0.441431i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −2.46721 | − | 0.724439i | −0.250508 | − | 0.0735557i | 0.154068 | − | 0.988060i | \(-0.450763\pi\) |
−0.404576 | + | 0.914505i | \(0.632581\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 2.47329 | − | 2.85433i | 0.248575 | − | 0.286871i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −6.47873 | + | 1.90233i | −0.644658 | + | 0.189289i | −0.587688 | − | 0.809087i | \(-0.699962\pi\) |
−0.0569692 | + | 0.998376i | \(0.518144\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 5.94569 | − | 3.82107i | 0.585847 | − | 0.376501i | −0.213885 | − | 0.976859i | \(-0.568612\pi\) |
0.799731 | + | 0.600358i | \(0.204975\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −1.39069 | − | 1.60494i | −0.135717 | − | 0.156626i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −0.634008 | + | 4.40962i | −0.0612918 | + | 0.426294i | 0.935954 | + | 0.352123i | \(0.114540\pi\) |
−0.997246 | + | 0.0741710i | \(0.976369\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 4.20391 | − | 9.20528i | 0.402662 | − | 0.881706i | −0.594332 | − | 0.804220i | \(-0.702583\pi\) |
0.996993 | − | 0.0774859i | \(-0.0246893\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −2.41336 | − | 5.28453i | −0.229066 | − | 0.501585i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −5.47929 | − | 3.52133i | −0.515449 | − | 0.331259i | 0.256921 | − | 0.966432i | \(-0.417292\pi\) |
−0.772369 | + | 0.635174i | \(0.780928\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 4.38329 | − | 1.23372i | 0.408744 | − | 0.115045i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0.165929 | + | 0.106636i | 0.0153401 | + | 0.00985851i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −2.67879 | − | 5.86574i | −0.245565 | − | 0.537711i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.35608 | − | 2.96941i | 0.123280 | − | 0.269946i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0.207181 | − | 1.44098i | 0.0186809 | − | 0.129929i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 5.65729 | + | 6.52886i | 0.506003 | + | 0.583959i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.29317 | − | 1.47373i | 0.203486 | − | 0.130773i | −0.434929 | − | 0.900465i | \(-0.643227\pi\) |
0.638415 | + | 0.769692i | \(0.279590\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 11.8608 | − | 3.48265i | 1.04429 | − | 0.306631i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 1.46589 | − | 1.69173i | 0.128076 | − | 0.147807i | −0.688090 | − | 0.725626i | \(-0.741550\pi\) |
0.816165 | + | 0.577818i | \(0.196096\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −9.82447 | − | 2.88473i | −0.851890 | − | 0.250137i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −0.135127 | − | 0.939827i | −0.0116299 | − | 0.0808874i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 3.12399 | 0.266900 | 0.133450 | − | 0.991056i | \(-0.457394\pi\) | ||||
0.133450 | + | 0.991056i | \(0.457394\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 10.7544 | 0.912179 | 0.456090 | − | 0.889934i | \(-0.349250\pi\) | ||||
0.456090 | + | 0.889934i | \(0.349250\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 1.85956 | + | 12.9336i | 0.156604 | + | 1.08920i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0.714767 | + | 0.209874i | 0.0597718 | + | 0.0175506i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.856982 | + | 0.989010i | −0.0711685 | + | 0.0821328i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 1.91666 | − | 0.562782i | 0.158083 | − | 0.0464175i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 0.764833 | − | 0.491529i | 0.0626576 | − | 0.0402676i | −0.508937 | − | 0.860804i | \(-0.669961\pi\) |
0.571595 | + | 0.820536i | \(0.306325\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −4.18615 | − | 4.83107i | −0.340664 | − | 0.393147i | 0.559405 | − | 0.828894i | \(-0.311030\pi\) |
−0.900069 | + | 0.435747i | \(0.856484\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0.410315 | − | 2.85380i | 0.0331720 | − | 0.230716i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0.334607 | − | 0.732687i | 0.0268763 | − | 0.0588508i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −6.42412 | − | 14.0669i | −0.512700 | − | 1.12266i | −0.972130 | − | 0.234443i | \(-0.924673\pi\) |
0.459430 | − | 0.888214i | \(-0.348054\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0.0906312 | + | 0.0582452i | 0.00718753 | + | 0.00461914i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 1.64573 | − | 10.5994i | 0.129702 | − | 0.835350i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 13.7101 | + | 8.81094i | 1.07386 | + | 0.690126i | 0.953130 | − | 0.302560i | \(-0.0978411\pi\) |
0.120727 | + | 0.992686i | \(0.461478\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −1.48970 | − | 3.26200i | −0.115973 | − | 0.253946i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −1.62935 | + | 3.56777i | −0.126083 | + | 0.276083i | −0.962138 | − | 0.272562i | \(-0.912129\pi\) |
0.836055 | + | 0.548645i | \(0.184856\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.84456 | − | 12.8292i | 0.141889 | − | 0.986859i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −2.99796 | − | 3.45983i | −0.229260 | − | 0.264580i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −1.25443 | + | 0.806176i | −0.0953729 | + | 0.0612924i | −0.587458 | − | 0.809255i | \(-0.699871\pi\) |
0.492085 | + | 0.870547i | \(0.336235\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 8.79536 | − | 2.58255i | 0.664866 | − | 0.195222i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −3.66065 | + | 4.22462i | −0.275151 | + | 0.317542i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 12.8266 | + | 3.76624i | 0.958708 | + | 0.281502i | 0.723408 | − | 0.690421i | \(-0.242575\pi\) |
0.235300 | + | 0.971923i | \(0.424393\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 3.72928 | + | 25.9377i | 0.277195 | + | 1.92794i | 0.363348 | + | 0.931654i | \(0.381634\pi\) |
−0.0861527 | + | 0.996282i | \(0.527457\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −7.32527 | −0.541500 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −5.51609 | −0.405551 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.54969 | − | 10.7783i | −0.113324 | − | 0.788188i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −2.14601 | − | 0.630126i | −0.156099 | − | 0.0458349i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 1.18472 | − | 1.36725i | 0.0857237 | − | 0.0989304i | −0.711267 | − | 0.702922i | \(-0.751878\pi\) |
0.796991 | + | 0.603991i | \(0.206424\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −20.5982 | + | 6.04819i | −1.48269 | + | 0.435358i | −0.920202 | − | 0.391445i | \(-0.871975\pi\) |
−0.562492 | + | 0.826803i | \(0.690157\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0.157548 | − | 0.101250i | 0.0112823 | − | 0.00725067i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 3.81799 | + | 4.40619i | 0.272020 | + | 0.313928i | 0.875280 | − | 0.483617i | \(-0.160677\pi\) |
−0.603260 | + | 0.797545i | \(0.706132\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −1.48217 | + | 10.3088i | −0.105069 | + | 0.730768i | 0.867379 | + | 0.497648i | \(0.165803\pi\) |
−0.972448 | + | 0.233120i | \(0.925106\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −2.34553 | + | 5.13600i | −0.165441 | + | 0.362265i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 1.28057 | + | 2.80406i | 0.0898785 | + | 0.196807i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.16284 | − | 0.747309i | −0.0812159 | − | 0.0521943i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 3.18113 | − | 3.58893i | 0.221104 | − | 0.249448i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −14.5456 | − | 9.34787i | −1.00614 | − | 0.646606i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 5.77328 | + | 12.6417i | 0.397449 | + | 0.870292i | 0.997523 | + | 0.0703474i | \(0.0224108\pi\) |
−0.600073 | + | 0.799945i | \(0.704862\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −5.51972 | + | 12.0865i | −0.378205 | + | 0.828153i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 1.67038 | − | 11.6177i | 0.113919 | − | 0.792322i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −1.24251 | − | 1.43394i | −0.0843472 | − | 0.0973419i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 5.22918 | − | 3.36059i | 0.353355 | − | 0.227088i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0.545637 | − | 0.160214i | 0.0367035 | − | 0.0107771i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −8.44887 | + | 9.75052i | −0.565778 | + | 0.652943i | −0.964486 | − | 0.264135i | \(-0.914913\pi\) |
0.398707 | + | 0.917078i | \(0.369459\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 3.93245 | + | 1.15467i | 0.262163 | + | 0.0769781i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 2.55325 | + | 17.7582i | 0.169465 | + | 1.17866i | 0.879993 | + | 0.474987i | \(0.157547\pi\) |
−0.710528 | + | 0.703669i | \(0.751544\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 12.4890 | 0.825295 | 0.412647 | − | 0.910891i | \(-0.364604\pi\) | ||||
0.412647 | + | 0.910891i | \(0.364604\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −8.44729 | −0.555791 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 1.05693 | + | 7.35110i | 0.0692417 | + | 0.481587i | 0.994707 | + | 0.102754i | \(0.0327654\pi\) |
−0.925465 | + | 0.378833i | \(0.876326\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 11.9040 | + | 3.49534i | 0.776533 | + | 0.228011i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −0.0200761 | + | 0.0231691i | −0.00130408 | + | 0.00150499i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 17.8806 | − | 5.25021i | 1.15660 | − | 0.339608i | 0.353488 | − | 0.935439i | \(-0.384995\pi\) |
0.803110 | + | 0.595831i | \(0.203177\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −7.45838 | + | 4.79321i | −0.480436 | + | 0.308758i | −0.758349 | − | 0.651849i | \(-0.773994\pi\) |
0.277913 | + | 0.960606i | \(0.410357\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.654861 | − | 0.755750i | −0.0420093 | − | 0.0484814i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0.269926 | − | 1.87737i | 0.0172449 | − | 0.119941i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.375107 | − | 0.821369i | 0.0238675 | − | 0.0522625i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −4.08631 | − | 8.94777i | −0.258959 | − | 0.567042i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −21.9529 | − | 14.1083i | −1.38566 | − | 0.890507i | −0.386166 | − | 0.922429i | \(-0.626201\pi\) |
−0.999490 | + | 0.0319217i | \(0.989837\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 7.70908 | − | 16.3906i | 0.484666 | − | 1.03047i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −2.30295 | − | 1.48002i | −0.144216 | − | 0.0926822i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 11.5048 | + | 25.1919i | 0.717648 | + | 1.57143i | 0.817171 | + | 0.576395i | \(0.195541\pi\) |
−0.0995227 | + | 0.995035i | \(0.531732\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −5.39775 | + | 11.8194i | −0.335400 | + | 0.734424i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −0.196147 | + | 1.36423i | −0.0121412 | + | 0.0844439i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −7.44831 | − | 8.59581i | −0.459282 | − | 0.530040i | 0.478117 | − | 0.878296i | \(-0.341319\pi\) |
−0.937399 | + | 0.348256i | \(0.886774\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.0860536 | − | 0.0553033i | 0.00528623 | − | 0.00339725i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0.749950 | − | 0.220205i | 0.0458962 | − | 0.0134763i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −17.3750 | + | 20.0518i | −1.05937 | + | 1.22258i | −0.0852938 | + | 0.996356i | \(0.527183\pi\) |
−0.974076 | + | 0.226222i | \(0.927363\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −11.9492 | − | 3.50859i | −0.725860 | − | 0.213132i | −0.102129 | − | 0.994771i | \(-0.532566\pi\) |
−0.623731 | + | 0.781639i | \(0.714384\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −0.0627821 | − | 0.436659i | −0.00379975 | − | 0.0264278i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 15.4792 | 0.933430 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −29.5480 | −1.77537 | −0.887683 | − | 0.460456i | \(-0.847686\pi\) | ||||
−0.887683 | + | 0.460456i | \(0.847686\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −0.120729 | − | 0.839689i | −0.00722786 | − | 0.0502709i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 21.9865 | + | 6.45583i | 1.31161 | + | 0.385123i | 0.861457 | − | 0.507830i | \(-0.169552\pi\) |
0.450150 | + | 0.892953i | \(0.351370\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −15.8311 | + | 18.2701i | −0.941062 | + | 1.08604i | 0.0550975 | + | 0.998481i | \(0.482453\pi\) |
−0.996159 | + | 0.0875620i | \(0.972092\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −4.17071 | + | 1.22463i | −0.247051 | + | 0.0725409i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −2.73916 | + | 1.76035i | −0.161688 | + | 0.103910i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 5.68908 | + | 6.56555i | 0.334652 | + | 0.386209i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −0.365944 | + | 2.54520i | −0.0214520 | + | 0.149202i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −13.5684 | + | 29.7106i | −0.792673 | + | 1.73571i | −0.123835 | + | 0.992303i | \(0.539519\pi\) |
−0.668837 | + | 0.743409i | \(0.733208\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.20487 | + | 4.82799i | 0.128372 | + | 0.281096i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −3.17727 | − | 2.04191i | −0.184364 | − | 0.118483i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 0.904562 | + | 0.276681i | 0.0523122 | + | 0.0160009i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −23.2590 | − | 14.9476i | −1.34062 | − | 0.861567i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 2.80498 | + | 6.14206i | 0.161142 | + | 0.352852i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −2.88933 | + | 6.32675i | −0.165442 | + | 0.362268i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 4.57366 | − | 31.8105i | 0.261033 | − | 1.81552i | −0.264091 | − | 0.964498i | \(-0.585072\pi\) |
0.525124 | − | 0.851026i | \(-0.324019\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −4.62833 | − | 5.34138i | −0.263297 | − | 0.303861i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 9.81930 | − | 6.31048i | 0.556801 | − | 0.357835i | −0.231777 | − | 0.972769i | \(-0.574454\pi\) |
0.788578 | + | 0.614934i | \(0.210818\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −27.7204 | + | 8.13944i | −1.56685 | + | 0.460069i | −0.946082 | − | 0.323926i | \(-0.894997\pi\) |
−0.620767 | + | 0.783995i | \(0.713179\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −1.39069 | + | 1.60494i | −0.0783565 | + | 0.0904282i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 16.2603 | + | 4.77446i | 0.913271 | + | 0.268161i | 0.704417 | − | 0.709786i | \(-0.251208\pi\) |
0.208854 | + | 0.977947i | \(0.433027\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.740813 | + | 5.15247i | 0.0414776 | + | 0.288483i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 4.45497 | 0.248652 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −13.1991 | −0.734417 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.115045 | + | 0.800154i | 0.00638154 | + | 0.0443846i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −9.70986 | − | 2.85107i | −0.536957 | − | 0.157665i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 19.1382 | − | 22.0866i | 1.05512 | − | 1.21767i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 1.37230 | − | 0.402945i | 0.0754287 | − | 0.0221479i | −0.243800 | − | 0.969825i | \(-0.578394\pi\) |
0.319229 | + | 0.947678i | \(0.396576\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −4.88728 | + | 3.14087i | −0.267821 | + | 0.172118i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 3.51074 | + | 4.05161i | 0.191812 | + | 0.221363i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −2.57050 | + | 17.8782i | −0.140024 | + | 0.973889i | 0.791749 | + | 0.610847i | \(0.209171\pi\) |
−0.931773 | + | 0.363042i | \(0.881738\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −2.70570 | + | 5.92466i | −0.146954 | + | 0.321783i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −1.33098 | − | 2.91443i | −0.0720765 | − | 0.157825i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −16.9294 | − | 10.8799i | −0.914104 | − | 0.587459i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −1.84497 | − | 4.16309i | −0.0993299 | − | 0.224133i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 28.9748 | + | 18.6210i | 1.55545 | + | 0.999626i | 0.983830 | + | 0.179106i | \(0.0573206\pi\) |
0.571619 | + | 0.820519i | \(0.306316\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −1.48766 | − | 3.25753i | −0.0796328 | − | 0.174371i | 0.865628 | − | 0.500688i | \(-0.166920\pi\) |
−0.945260 | + | 0.326317i | \(0.894192\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0.0819366 | − | 0.179416i | 0.00437345 | − | 0.00957652i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −1.60470 | + | 11.1610i | −0.0854098 | + | 0.594038i | 0.901502 | + | 0.432775i | \(0.142466\pi\) |
−0.986912 | + | 0.161263i | \(0.948443\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 8.26180 | + | 9.53462i | 0.438491 | + | 0.506045i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −5.42480 | + | 3.48631i | −0.287111 | + | 0.184515i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 31.1965 | − | 9.16011i | 1.64649 | − | 0.483452i | 0.678531 | − | 0.734572i | \(-0.262617\pi\) |
0.967956 | + | 0.251120i | \(0.0807989\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −1.28236 | + | 1.47992i | −0.0674925 | + | 0.0778905i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −3.13218 | − | 0.919690i | −0.164397 | − | 0.0482712i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −0.839939 | − | 5.84191i | −0.0439644 | − | 0.305779i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −18.1256 | −0.946151 | −0.473075 | − | 0.881022i | \(-0.656856\pi\) | ||||
−0.473075 | + | 0.881022i | \(0.656856\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −1.45580 | −0.0757857 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −0.0342919 | − | 0.238505i | −0.00178035 | − | 0.0123826i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 18.4445 | + | 5.41579i | 0.955020 | + | 0.280419i | 0.721875 | − | 0.692023i | \(-0.243280\pi\) |
0.233144 | + | 0.972442i | \(0.425099\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 5.65729 | − | 6.52886i | 0.292141 | − | 0.337149i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −0.260837 | + | 0.0765886i | −0.0134338 | + | 0.00394451i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 27.7644 | − | 17.8431i | 1.42616 | − | 0.916540i | 0.426235 | − | 0.904612i | \(-0.359840\pi\) |
0.999929 | − | 0.0119275i | \(-0.00379672\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −1.78508 | − | 2.06010i | −0.0914527 | − | 0.105542i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −3.50446 | + | 24.3741i | −0.179070 | + | 1.24546i | 0.679852 | + | 0.733349i | \(0.262044\pi\) |
−0.858922 | + | 0.512107i | \(0.828865\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −3.33189 | + | 7.29582i | −0.169809 | + | 0.371829i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −5.13518 | − | 11.2445i | −0.261036 | − | 0.571588i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 9.08619 | + | 5.83934i | 0.460688 | + | 0.296066i | 0.750324 | − | 0.661071i | \(-0.229898\pi\) |
−0.289635 | + | 0.957137i | \(0.593534\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.81388 | − | 13.7076i | −0.0917321 | − | 0.693223i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −1.88313 | − | 1.21021i | −0.0949914 | − | 0.0610473i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0.0120922 | + | 0.0264781i | 0.000608422 | + | 0.00133226i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 10.5724 | − | 23.1502i | 0.530611 | − | 1.16188i | −0.434653 | − | 0.900598i | \(-0.643129\pi\) |
0.965264 | − | 0.261278i | \(-0.0841439\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −1.45719 | + | 10.1350i | −0.0729510 | + | 0.507385i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 7.10594 | + | 8.20069i | 0.354854 | + | 0.409523i | 0.904909 | − | 0.425605i | \(-0.139939\pi\) |
−0.550055 | + | 0.835128i | \(0.685393\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.140762 | − | 0.0904619i | 0.00701183 | − | 0.00450623i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −0.911030 | + | 0.267503i | −0.0452695 | + | 0.0132923i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −14.3687 | + | 16.5823i | −0.712228 | + | 0.821955i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 9.20335 | + | 2.70235i | 0.455076 | + | 0.133622i | 0.501234 | − | 0.865312i | \(-0.332880\pi\) |
−0.0461579 | + | 0.998934i | \(0.514698\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −0.444589 | − | 3.09219i | −0.0219300 | − | 0.152526i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 12.5026 | 0.615212 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −9.33986 | −0.458475 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −1.53052 | − | 10.6450i | −0.0749497 | − | 0.521287i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 2.94326 | + | 0.864218i | 0.143787 | + | 0.0422198i | 0.352834 | − | 0.935686i | \(-0.385218\pi\) |
−0.209047 | + | 0.977906i | \(0.567036\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −3.28653 | + | 3.79286i | −0.160176 | + | 0.184853i | −0.830164 | − | 0.557519i | \(-0.811753\pi\) |
0.669989 | + | 0.742371i | \(0.266299\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 12.5373 | − | 3.68127i | 0.609583 | − | 0.178990i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 9.94065 | − | 6.38847i | 0.482193 | − | 0.309886i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 10.7291 | + | 12.3820i | 0.519217 | + | 0.599209i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0.106016 | − | 0.737359i | 0.00511851 | − | 0.0356001i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −0.348887 | + | 0.763955i | −0.0168053 | + | 0.0367984i | −0.917849 | − | 0.396931i | \(-0.870075\pi\) |
0.901043 | + | 0.433729i | \(0.142803\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 4.59573 | + | 10.0633i | 0.220857 | + | 0.483609i | 0.987333 | − | 0.158664i | \(-0.0507187\pi\) |
−0.766476 | + | 0.642273i | \(0.777991\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 1.10090 | + | 0.707508i | 0.0527843 | + | 0.0339224i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −18.3355 | − | 12.0768i | −0.877106 | − | 0.577710i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −19.0317 | − | 12.2309i | −0.908334 | − | 0.583751i | 0.000916569 | − | 1.00000i | \(-0.499708\pi\) |
−0.909251 | + | 0.416249i | \(0.863345\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −0.829823 | − | 1.81706i | −0.0395154 | − | 0.0865266i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −0.260149 | + | 0.569646i | −0.0123600 | + | 0.0270647i | −0.915711 | − | 0.401837i | \(-0.868372\pi\) |
0.903351 | + | 0.428901i | \(0.141099\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.105616 | − | 0.734578i | 0.00500670 | − | 0.0348224i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −0.595373 | − | 0.687097i | −0.0281602 | − | 0.0324986i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 28.6791 | − | 18.4309i | 1.35345 | − | 0.869809i | 0.355554 | − | 0.934656i | \(-0.384292\pi\) |
0.997895 | + | 0.0648468i | \(0.0206559\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −5.27556 | + | 1.54905i | −0.248417 | + | 0.0729417i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −4.18615 | + | 4.83107i | −0.196682 | + | 0.226984i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −0.401901 | − | 0.118009i | −0.0188414 | − | 0.00553233i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 3.96204 | + | 27.5566i | 0.185336 | + | 1.28904i | 0.843893 | + | 0.536512i | \(0.180258\pi\) |
−0.658556 | + | 0.752531i | \(0.728833\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −2.88315 | −0.134574 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 9.85378 | 0.458936 | 0.229468 | − | 0.973316i | \(-0.426301\pi\) | ||||
0.229468 | + | 0.973316i | \(0.426301\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.30051 | − | 29.9107i | −0.199862 | − | 1.39007i | −0.804682 | − | 0.593706i | \(-0.797664\pi\) |
0.604820 | − | 0.796362i | \(-0.293245\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −0.772848 | − | 0.226929i | −0.0358400 | − | 0.0105236i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −6.05410 | + | 6.98680i | −0.280150 | + | 0.323311i | −0.878333 | − | 0.478049i | \(-0.841344\pi\) |
0.598183 | + | 0.801360i | \(0.295890\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 12.1169 | − | 3.55784i | 0.559506 | − | 0.164286i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −13.0094 | + | 8.36065i | −0.599443 | + | 0.385238i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −30.5738 | − | 35.2840i | −1.40578 | − | 1.62236i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 2.67023 | − | 18.5719i | 0.122519 | − | 0.852135i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0.0447541 | − | 0.0979979i | 0.00204915 | − | 0.00448702i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −10.8542 | − | 23.7674i | −0.495941 | − | 1.08596i | −0.977767 | − | 0.209693i | \(-0.932754\pi\) |
0.481826 | − | 0.876267i | \(-0.339974\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.963969 | − | 0.619505i | −0.0439532 | − | 0.0282470i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −10.7257 | − | 0.120530i | −0.488038 | − | 0.00548432i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 2.05392 | + | 1.31997i | 0.0932636 | + | 0.0599368i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 13.6113 | + | 29.8047i | 0.616789 | + | 1.35058i | 0.917832 | + | 0.396969i | \(0.129938\pi\) |
−0.301043 | + | 0.953610i | \(0.597335\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 6.77011 | − | 14.8245i | 0.306155 | − | 0.670386i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −0.908362 | + | 6.31780i | −0.0409938 | + | 0.285118i | 0.959005 | + | 0.283390i | \(0.0914591\pi\) |
−0.999999 | + | 0.00172804i | \(0.999450\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 2.60224 | + | 3.00314i | 0.117199 | + | 0.135255i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −3.01679 | + | 1.93877i | −0.135595 | + | 0.0871413i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 28.5146 | − | 8.37263i | 1.27905 | − | 0.375564i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −12.0492 | + | 13.9056i | −0.539398 | + | 0.622498i | −0.958380 | − | 0.285496i | \(-0.907842\pi\) |
0.418982 | + | 0.907994i | \(0.362387\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 3.76334 | + | 1.10502i | 0.168134 | + | 0.0493685i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 1.58403 | + | 11.0172i | 0.0706286 | + | 0.491232i | 0.994178 | + | 0.107752i | \(0.0343654\pi\) |
−0.923549 | + | 0.383480i | \(0.874726\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 6.41119 | 0.285294 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −12.9611 | −0.575622 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −3.64871 | − | 25.3773i | −0.161726 | − | 1.12483i | −0.895379 | − | 0.445306i | \(-0.853095\pi\) |
0.733652 | − | 0.679525i | \(-0.237814\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −13.3395 | − | 3.91682i | −0.590104 | − | 0.173270i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −2.99796 | + | 3.45983i | −0.132363 | + | 0.152755i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −6.43885 | + | 1.89062i | −0.283730 | + | 0.0833106i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 41.5159 | − | 26.6807i | 1.82587 | − | 1.17341i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0.976495 | + | 1.12694i | 0.0428634 | + | 0.0494670i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 5.15812 | − | 35.8755i | 0.225981 | − | 1.57174i | −0.488805 | − | 0.872393i | \(-0.662567\pi\) |
0.714787 | − | 0.699342i | \(-0.246524\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 0.153304 | − | 0.335688i | 0.00670351 | − | 0.0146786i | −0.906251 | − | 0.422741i | \(-0.861068\pi\) |
0.912954 | + | 0.408062i | \(0.133795\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −3.80797 | − | 8.33830i | −0.166194 | − | 0.363913i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −2.05757 | − | 1.32232i | −0.0896293 | − | 0.0576012i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 10.0223 | − | 20.7015i | 0.435751 | − | 0.900067i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 4.70258 | + | 3.02217i | 0.204075 | + | 0.131151i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −0.119283 | − | 0.261193i | −0.00516671 | − | 0.0113135i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1.75719 | − | 3.84770i | 0.0759697 | − | 0.166351i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 1.90248 | − | 13.2321i | 0.0820983 | − | 0.571006i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −4.94059 | − | 5.70175i | −0.212806 | − | 0.245592i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 10.7483 | − | 6.90753i | 0.462107 | − | 0.296978i | −0.288796 | − | 0.957391i | \(-0.593255\pi\) |
0.750903 | + | 0.660413i | \(0.229619\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 25.1430 | − | 7.38264i | 1.07899 | − | 0.316820i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −6.29232 | + | 7.26173i | −0.269534 | + | 0.311058i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −41.0643 | − | 12.0576i | −1.75578 | − | 0.515544i | −0.764195 | − | 0.644986i | \(-0.776863\pi\) |
−0.991587 | + | 0.129441i | \(0.958682\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 1.04249 | + | 7.25071i | 0.0444926 | + | 0.309453i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 6.30970 | 0.268802 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.0685679 | 0.00291580 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0.785022 | + | 5.45995i | 0.0333223 | + | 0.231762i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 14.6198 | + | 4.29277i | 0.619462 | + | 0.181891i | 0.576381 | − | 0.817181i | \(-0.304464\pi\) |
0.0430813 | + | 0.999072i | \(0.486283\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 1.59668 | − | 1.84267i | 0.0675323 | − | 0.0779365i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −10.4481 | + | 3.06783i | −0.441117 | + | 0.129524i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 20.3184 | − | 13.0578i | 0.856318 | − | 0.550322i | −0.0372217 | − | 0.999307i | \(-0.511851\pi\) |
0.893539 | + | 0.448985i | \(0.148214\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 4.04984 | + | 4.67376i | 0.170378 | + | 0.196627i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −0.318303 | + | 2.21384i | −0.0133675 | + | 0.0929727i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −0.186316 | + | 0.407974i | −0.00781076 | + | 0.0171032i | −0.913497 | − | 0.406845i | \(-0.866629\pi\) |
0.905686 | + | 0.423948i | \(0.139356\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −6.41181 | − | 14.0399i | −0.268326 | − | 0.587552i | 0.726724 | − | 0.686930i | \(-0.241042\pi\) |
−0.995050 | + | 0.0993779i | \(0.968315\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −1.52193 | − | 0.978087i | −0.0635796 | − | 0.0408602i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 19.6543 | + | 0.220865i | 0.819642 | + | 0.00921071i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −16.1566 | − | 10.3832i | −0.672609 | − | 0.432260i | 0.159256 | − | 0.987237i | \(-0.449090\pi\) |
−0.831865 | + | 0.554978i | \(0.812727\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 8.91806 | + | 19.5278i | 0.370622 | + | 0.811549i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −9.13948 | + | 20.0127i | −0.379170 | + | 0.830266i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.0579066 | − | 0.402749i | 0.00239825 | − | 0.0166802i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −0.122641 | − | 0.141535i | −0.00507058 | − | 0.00585176i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 21.5879 | − | 13.8737i | 0.891030 | − | 0.572630i | −0.0130874 | − | 0.999914i | \(-0.504166\pi\) |
0.904117 | + | 0.427284i | \(0.140530\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −3.72632 | + | 1.09415i | −0.153540 | + | 0.0450835i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 3.81799 | − | 4.40619i | 0.157051 | − | 0.181246i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −34.7357 | − | 10.1993i | −1.42642 | − | 0.418835i | −0.524750 | − | 0.851256i | \(-0.675841\pi\) |
−0.901672 | + | 0.432421i | \(0.857659\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.871361 | + | 6.06045i | 0.0357223 | + | 0.248454i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 10.4148 | 0.426248 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −41.4945 | −1.69542 | −0.847710 | − | 0.530460i | \(-0.822019\pi\) | ||||
−0.847710 | + | 0.530460i | \(0.822019\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 0.549829 | + | 3.82414i | 0.0224280 | + | 0.155990i | 0.997958 | − | 0.0638773i | \(-0.0203466\pi\) |
−0.975530 | + | 0.219867i | \(0.929438\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 5.41752 | + | 1.59073i | 0.220619 | + | 0.0647795i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −2.02976 | + | 2.34247i | −0.0825214 | + | 0.0952348i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 31.3526 | − | 9.20597i | 1.27256 | − | 0.373659i | 0.425408 | − | 0.905002i | \(-0.360131\pi\) |
0.847157 | + | 0.531343i | \(0.178313\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 2.59328 | − | 1.66660i | 0.105085 | − | 0.0675339i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 1.68774 | + | 1.94776i | 0.0682787 | + | 0.0787978i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 4.63550 | − | 32.2406i | 0.187226 | − | 1.30218i | −0.651924 | − | 0.758284i | \(-0.726038\pi\) |
0.839150 | − | 0.543900i | \(-0.183053\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −0.574214 | + | 1.25735i | −0.0231545 | + | 0.0507013i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −15.3343 | − | 33.5774i | −0.617335 | − | 1.35178i | −0.917442 | − | 0.397870i | \(-0.869750\pi\) |
0.300107 | − | 0.953906i | \(-0.402978\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −27.3857 | − | 17.5997i | −1.10072 | − | 0.707393i | −0.141472 | − | 0.989942i | \(-0.545183\pi\) |
−0.959253 | + | 0.282550i | \(0.908820\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −4.00512 | − | 2.63799i | −0.160720 | − | 0.105859i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −1.47064 | − | 0.945125i | −0.0589201 | − | 0.0378656i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 5.10535 | + | 11.1792i | 0.204214 | + | 0.447166i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −7.18267 | + | 15.7279i | −0.286848 | + | 0.628110i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −2.38373 | + | 16.5792i | −0.0950456 | + | 0.661057i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 10.7823 | + | 12.4434i | 0.429236 | + | 0.495365i | 0.928629 | − | 0.371011i | \(-0.120989\pi\) |
−0.499392 | + | 0.866376i | \(0.666443\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 11.6914 | − | 7.51362i | 0.464693 | − | 0.298640i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −2.48338 | + | 0.729185i | −0.0985498 | + | 0.0289368i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0.258017 | − | 0.297767i | 0.0102230 | − | 0.0117980i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 12.7490 | + | 3.74345i | 0.504343 | + | 0.148088i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 3.64171 | + | 25.3286i | 0.143839 | + | 1.00042i | 0.926048 | + | 0.377405i | \(0.123184\pi\) |
−0.782209 | + | 0.623016i | \(0.785907\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 6.87598 | 0.271162 | 0.135581 | − | 0.990766i | \(-0.456710\pi\) | ||||
0.135581 | + | 0.990766i | \(0.456710\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −11.7372 | −0.462151 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 4.38755 | + | 30.5161i | 0.172492 | + | 1.19971i | 0.873596 | + | 0.486652i | \(0.161782\pi\) |
−0.701104 | + | 0.713059i | \(0.747309\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 20.2571 | + | 5.94803i | 0.795162 | + | 0.233481i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −1.24251 | + | 1.43394i | −0.0486979 | + | 0.0562004i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 0.0904584 | − | 0.0265610i | 0.00353991 | − | 0.00103941i | −0.279962 | − | 0.960011i | \(-0.590322\pi\) |
0.283502 | + | 0.958972i | \(0.408504\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −1.78802 | + | 1.14909i | −0.0698636 | + | 0.0448986i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −4.07058 | − | 4.69769i | −0.158808 | − | 0.183275i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 1.98168 | − | 13.7829i | 0.0771952 | − | 0.536904i | −0.914125 | − | 0.405433i | \(-0.867121\pi\) |
0.991320 | − | 0.131471i | \(-0.0419701\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −4.14914 | + | 9.08535i | −0.161383 | + | 0.353379i | −0.972998 | − | 0.230813i | \(-0.925861\pi\) |
0.811615 | + | 0.584192i | \(0.198589\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −0.236235 | − | 0.517283i | −0.00917461 | − | 0.0200896i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 8.17872 | + | 5.25614i | 0.317157 | + | 0.203824i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.867111 | + | 6.55279i | 0.0335747 | + | 0.253725i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 10.8537 | + | 6.97523i | 0.419627 | + | 0.269678i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 11.4930 | + | 25.1661i | 0.443682 | + | 0.971528i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −5.75470 | + | 12.6010i | −0.221827 | + | 0.485734i | −0.987524 | − | 0.157468i | \(-0.949667\pi\) |
0.765697 | + | 0.643202i | \(0.222394\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0.583273 | − | 4.05675i | 0.0224502 | − | 0.156144i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 3.72303 | + | 4.29661i | 0.143088 | + | 0.165132i | 0.822770 | − | 0.568375i | \(-0.192428\pi\) |
−0.679682 | + | 0.733507i | \(0.737882\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 4.83818 | − | 3.10931i | 0.185672 | − | 0.119324i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 17.2141 | − | 5.05452i | 0.659647 | − | 0.193690i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −16.7624 | + | 19.3448i | −0.641394 | + | 0.740208i | −0.979621 | − | 0.200857i | \(-0.935627\pi\) |
0.338227 | + | 0.941065i | \(0.390173\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −2.84604 | − | 0.835674i | −0.108742 | − | 0.0319295i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −1.77737 | − | 12.3619i | −0.0678108 | − | 0.471634i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 0.0212494 | 0.000809537 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −40.7131 | −1.54880 | −0.774399 | − | 0.632698i | \(-0.781948\pi\) | ||||
−0.774399 | + | 0.632698i | \(0.781948\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 1.20217 | + | 8.36130i | 0.0456668 | + | 0.317620i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −9.79762 | − | 2.87684i | −0.371645 | − | 0.109125i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −2.74863 | + | 3.17209i | −0.104112 | + | 0.120151i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 7.12586 | − | 2.09234i | 0.269525 | − | 0.0791396i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −2.19786 | + | 1.41248i | −0.0830119 | + | 0.0533485i | −0.581488 | − | 0.813555i | \(-0.697529\pi\) |
0.498476 | + | 0.866903i | \(0.333893\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 17.4167 | + | 20.1000i | 0.656884 | + | 0.758085i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 1.76564 | − | 12.2803i | 0.0664979 | − | 0.462503i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 6.27365 | − | 13.7374i | 0.235945 | − | 0.516647i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 0.138623 | + | 0.303542i | 0.00520610 | + | 0.0113998i | 0.912217 | − | 0.409707i | \(-0.134369\pi\) |
−0.907011 | + | 0.421107i | \(0.861642\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0.0257904 | + | 0.0165745i | 0.000967214 | + | 0.000621591i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −1.64839 | − | 3.71952i | −0.0617327 | − | 0.139297i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.595032 | − | 0.382404i | −0.0222529 | − | 0.0143011i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −7.74144 | − | 16.9514i | −0.289109 | − | 0.633061i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −0.553313 | + | 1.21159i | −0.0206351 | + | 0.0451846i | −0.919669 | − | 0.392695i | \(-0.871543\pi\) |
0.899034 | + | 0.437879i | \(0.144270\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −2.24966 | + | 15.6467i | −0.0837816 | + | 0.582714i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 5.80586 | + | 6.70032i | 0.215922 | + | 0.249188i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −4.75204 | + | 3.05395i | −0.176486 | + | 0.113421i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −8.06361 | + | 2.36769i | −0.299063 | + | 0.0878127i | −0.427822 | − | 0.903863i | \(-0.640719\pi\) |
0.128759 | + | 0.991676i | \(0.458901\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −0.654861 | + | 0.755750i | −0.0242541 | + | 0.0279907i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −34.1965 | − | 10.0410i | −1.26480 | − | 0.371380i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 2.91554 | + | 20.2781i | 0.107688 | + | 0.748987i | 0.970087 | + | 0.242758i | \(0.0780520\pi\) |
−0.862399 | + | 0.506229i | \(0.831039\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −1.89668 | −0.0699601 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 21.3248 | 0.785511 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −3.60427 | − | 25.0683i | −0.132585 | − | 0.922151i | −0.942167 | − | 0.335144i | \(-0.891215\pi\) |
0.809582 | − | 0.587007i | \(-0.199694\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −0.866392 | − | 0.254396i | −0.0318277 | − | 0.00934546i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −18.3731 | + | 21.2037i | −0.674043 | + | 0.777887i | −0.985003 | − | 0.172536i | \(-0.944804\pi\) |
0.310960 | + | 0.950423i | \(0.399349\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.828272 | + | 0.243202i | −0.0303455 | + | 0.00891025i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −8.27515 | + | 5.31812i | −0.302772 | + | 0.194580i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −6.52505 | − | 7.53031i | −0.238420 | − | 0.275151i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −7.73725 | + | 53.8137i | −0.282336 | + | 1.96369i | −0.0157638 | + | 0.999876i | \(0.505018\pi\) |
−0.266572 | + | 0.963815i | \(0.585891\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −10.8405 | + | 23.7373i | −0.395048 | + | 0.865035i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 2.52138 | + | 5.52106i | 0.0917625 | + | 0.200932i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 35.7864 | + | 22.9985i | 1.30068 | + | 0.835895i | 0.993286 | − | 0.115688i | \(-0.0369072\pi\) |
0.307392 | + | 0.951583i | \(0.400544\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −17.3209 | − | 5.29799i | −0.628708 | − | 0.192305i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −30.7309 | − | 19.7495i | −1.11399 | − | 0.715920i | −0.151834 | − | 0.988406i | \(-0.548518\pi\) |
−0.962160 | + | 0.272486i | \(0.912154\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 9.40251 | + | 20.5886i | 0.340394 | + | 0.745358i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −1.13721 | + | 2.49014i | −0.0411158 | + | 0.0900311i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −0.156912 | + | 1.09134i | −0.00566575 | + | 0.0394062i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 28.9659 | + | 33.4284i | 1.04454 | + | 1.20546i | 0.978200 | + | 0.207663i | \(0.0665858\pi\) |
0.0663369 | + | 0.997797i | \(0.478869\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 23.2982 | − | 14.9729i | 0.839065 | − | 0.539235i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −23.1433 | + | 6.79548i | −0.832406 | + | 0.244416i | −0.670050 | − | 0.742316i | \(-0.733727\pi\) |
−0.162356 | + | 0.986732i | \(0.551909\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 2.27684 | − | 2.62761i | 0.0817864 | − | 0.0943865i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 12.4673 | + | 3.66073i | 0.447262 | + | 0.131328i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 0.948479 | + | 6.59681i | 0.0339828 | + | 0.236355i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 50.1836 | 1.79571 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 1.37826 | 0.0492550 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 2.08964 | + | 14.5338i | 0.0745826 | + | 0.518733i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −50.2896 | − | 14.7664i | −1.79263 | − | 0.526364i | −0.795775 | − | 0.605593i | \(-0.792936\pi\) |
−0.996856 | + | 0.0792286i | \(0.974754\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −7.44831 | + | 8.59581i | −0.265167 | + | 0.306019i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 13.9775 | − | 4.10417i | 0.496983 | − | 0.145927i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −1.21548 | + | 0.781139i | −0.0431628 | + | 0.0277390i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −0.0669871 | − | 0.0773072i | −0.00237579 | − | 0.00274180i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 0.103820 | − | 0.722087i | 0.00367751 | − | 0.0255776i | −0.987900 | − | 0.155092i | \(-0.950433\pi\) |
0.991578 | + | 0.129514i | \(0.0413418\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 15.6498 | − | 34.2684i | 0.553652 | − | 1.21233i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −0.324693 | − | 0.710978i | −0.0114725 | − | 0.0251212i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −19.7497 | − | 12.6924i | −0.696952 | − | 0.447904i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −4.33468 | + | 9.21614i | −0.152777 | + | 0.324826i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 22.3204 | + | 14.3444i | 0.785715 | + | 0.504948i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −7.39762 | − | 16.1985i | −0.260087 | − | 0.569510i | 0.733869 | − | 0.679291i | \(-0.237712\pi\) |
−0.993956 | + | 0.109781i | \(0.964985\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 1.50702 | − | 3.29992i | 0.0529187 | − | 0.115876i | −0.881326 | − | 0.472509i | \(-0.843348\pi\) |
0.934244 | + | 0.356634i | \(0.116076\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −1.77234 | + | 12.3269i | −0.0621585 | + | 0.432322i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −10.1334 | − | 11.6945i | −0.354956 | − | 0.409641i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −47.6077 | + | 30.5956i | −1.66558 | + | 1.07040i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −0.423280 | + | 0.124286i | −0.0147906 | + | 0.00434291i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −2.96774 | + | 3.42496i | −0.103575 | + | 0.119532i | −0.805170 | − | 0.593044i | \(-0.797926\pi\) |
0.701595 | + | 0.712576i | \(0.252472\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −4.19701 | − | 1.23235i | −0.146298 | − | 0.0429571i | 0.207763 | − | 0.978179i | \(-0.433382\pi\) |
−0.354062 | + | 0.935222i | \(0.615200\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −2.20292 | − | 15.3216i | −0.0766958 | − | 0.533431i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −31.3421 | −1.08987 | −0.544936 | − | 0.838478i | \(-0.683446\pi\) | ||||
−0.544936 | + | 0.838478i | \(0.683446\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 27.3700 | 0.950599 | 0.475299 | − | 0.879824i | \(-0.342340\pi\) | ||||
0.475299 | + | 0.879824i | \(0.342340\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 4.20511 | + | 29.2472i | 0.145874 | + | 1.01457i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −5.52601 | − | 1.62258i | −0.191465 | − | 0.0562192i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 2.43877 | − | 2.81450i | 0.0843973 | − | 0.0973996i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −0.813961 | + | 0.239000i | −0.0281346 | + | 0.00826106i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 10.9321 | − | 7.02564i | 0.377418 | − | 0.242552i | −0.338154 | − | 0.941091i | \(-0.609802\pi\) |
0.715572 | + | 0.698539i | \(0.246166\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 17.7470 | + | 20.4811i | 0.611965 | + | 0.706245i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 3.26111 | − | 22.6815i | 0.112319 | − | 0.781193i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −5.11228 | + | 11.1943i | −0.175868 | + | 0.385097i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 3.03303 | + | 6.64141i | 0.104216 | + | 0.228202i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 20.3371 | + | 13.0699i | 0.697968 | + | 0.448557i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −18.4809 | + | 20.8500i | −0.633516 | + | 0.714728i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −37.3041 | − | 23.9739i | −1.27727 | − | 0.820850i | −0.286720 | − | 0.958014i | \(-0.592565\pi\) |
−0.990548 | + | 0.137164i | \(0.956201\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 1.80572 | + | 3.95397i | 0.0617543 | + | 0.135223i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −22.6490 | + | 49.5943i | −0.773674 | + | 1.69411i | −0.0552821 | + | 0.998471i | \(0.517606\pi\) |
−0.718392 | + | 0.695639i | \(0.755121\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 4.15609 | − | 28.9062i | 0.141804 | − | 0.986268i | −0.787332 | − | 0.616529i | \(-0.788538\pi\) |
0.929136 | − | 0.369739i | \(-0.120553\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 2.13226 | + | 2.46076i | 0.0726671 | + | 0.0838623i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 28.4386 | − | 18.2764i | 0.968060 | − | 0.622134i | 0.0418425 | − | 0.999124i | \(-0.486677\pi\) |
0.926217 | + | 0.376990i | \(0.123041\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 1.35848 | − | 0.398886i | 0.0461898 | − | 0.0135625i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 5.68908 | − | 6.56555i | 0.193211 | − | 0.222978i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 0.111096 | + | 0.0326208i | 0.00376868 | + | 0.00110658i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.158491 | + | 1.10233i | 0.00537026 | + | 0.0373510i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 2.57137 | 0.0870278 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −19.3219 | −0.653199 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −7.67085 | − | 53.3519i | −0.259026 | − | 1.80157i | −0.539801 | − | 0.841793i | \(-0.681501\pi\) |
0.280775 | − | 0.959774i | \(-0.409408\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 31.3392 | + | 9.20201i | 1.05704 | + | 0.310376i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −10.1317 | + | 11.6927i | −0.341347 | + | 0.393936i | −0.900304 | − | 0.435261i | \(-0.856656\pi\) |
0.558957 | + | 0.829196i | \(0.311202\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 0.324679 | − | 0.0953343i | 0.0109263 | − | 0.00320826i | −0.276265 | − | 0.961082i | \(-0.589097\pi\) |
0.287191 | + | 0.957873i | \(0.407279\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 4.46506 | − | 2.86952i | 0.150091 | − | 0.0964578i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 21.9394 | + | 25.3195i | 0.736654 | + | 0.850145i | 0.993204 | − | 0.116387i | \(-0.0371311\pi\) |
−0.256550 | + | 0.966531i | \(0.582586\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −0.867662 | + | 6.03472i | −0.0291004 | + | 0.202398i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −1.56895 | + | 3.43552i | −0.0525618 | + | 0.115094i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −24.8497 | − | 54.4132i | −0.831562 | − | 1.82087i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −10.6780 | − | 6.86232i | −0.356925 | − | 0.229382i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0.145133 | − | 0.934731i | 0.00484583 | − | 0.0312098i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 0.983603 | + | 0.632124i | 0.0328050 | + | 0.0210825i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −0.129033 | − | 0.282542i | −0.00429870 | − | 0.00941285i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −11.4854 | + | 25.1495i | −0.382210 | + | 0.836923i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 3.54092 | − | 24.6276i | 0.117704 | − | 0.818650i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 10.4812 | + | 12.0960i | 0.348023 | + | 0.401640i | 0.902592 | − | 0.430498i | \(-0.141662\pi\) |
−0.554568 | + | 0.832138i | \(0.687117\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 5.68035 | − | 3.65054i | 0.188405 | − | 0.121081i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −3.43321 | + | 1.00808i | −0.113747 | + | 0.0333992i | −0.338111 | − | 0.941106i | \(-0.609788\pi\) |
0.224364 | + | 0.974506i | \(0.427970\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −24.3290 | + | 28.0772i | −0.805174 | + | 0.929220i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 6.67354 | + | 1.95953i | 0.220621 | + | 0.0647800i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 0.712515 | + | 4.95565i | 0.0235293 | + | 0.163650i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 59.1588 | 1.95147 | 0.975734 | − | 0.218960i | \(-0.0702664\pi\) | ||||
0.975734 | + | 0.218960i | \(0.0702664\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −32.1377 | −1.05897 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 0.372975 | + | 2.59410i | 0.0122766 | + | 0.0853859i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −22.8457 | − | 6.70809i | −0.751161 | − | 0.220561i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −4.62833 | + | 5.34138i | −0.152014 | + | 0.175434i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −32.7118 | + | 9.60505i | −1.07324 | + | 0.315131i | −0.770171 | − | 0.637837i | \(-0.779829\pi\) |
−0.303068 | + | 0.952969i | \(0.598011\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −7.69320 | + | 4.94412i | −0.252135 | + | 0.162037i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −7.64368 | − | 8.82128i | −0.250243 | − | 0.288796i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −1.47141 | + | 10.2339i | −0.0481204 | + | 0.334685i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −8.72351 | + | 19.1018i | −0.284985 | + | 0.624029i | −0.996938 | − | 0.0781976i | \(-0.975083\pi\) |
0.711953 | + | 0.702227i | \(0.247811\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 12.0016 | + | 26.2799i | 0.391658 | + | 0.857612i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −20.9625 | − | 13.4718i | −0.683359 | − | 0.439168i | 0.152360 | − | 0.988325i | \(-0.451313\pi\) |
−0.835719 | + | 0.549157i | \(0.814949\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −6.72062 | + | 1.89159i | −0.218853 | + | 0.0615985i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 1.78652 | + | 1.14813i | 0.0581155 | + | 0.0373486i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −6.99165 | − | 15.3096i | −0.227198 | − | 0.497494i | 0.761361 | − | 0.648328i | \(-0.224531\pi\) |
−0.988559 | + | 0.150834i | \(0.951804\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0.509313 | − | 1.11524i | 0.0165330 | − | 0.0362022i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 2.41178 | − | 16.7743i | 0.0782073 | − | 0.543944i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 10.7819 | + | 12.4430i | 0.349260 | + | 0.403067i | 0.903013 | − | 0.429614i | \(-0.141350\pi\) |
−0.553753 | + | 0.832681i | \(0.686805\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −1.44506 | + | 0.928685i | −0.0467611 | + | 0.0300515i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 4.99460 | − | 1.46655i | 0.161452 | − | 0.0474067i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −4.57560 | + | 5.28053i | −0.147754 | + | 0.170517i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 29.0538 | + | 8.53096i | 0.937219 | + | 0.275192i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −0.634008 | − | 4.40962i | −0.0204306 | − | 0.142098i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 20.3835 | 0.656169 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 19.7075 | 0.633750 | 0.316875 | − | 0.948467i | \(-0.397366\pi\) | ||||
0.316875 | + | 0.948467i | \(0.397366\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 1.87843 | + | 13.0647i | 0.0603437 | + | 0.419700i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −21.2253 | − | 6.23230i | −0.681151 | − | 0.200004i | −0.0771884 | − | 0.997017i | \(-0.524594\pi\) |
−0.603963 | + | 0.797012i | \(0.706412\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −15.7517 | + | 18.1784i | −0.504976 | + | 0.582773i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0.775637 | − | 0.227748i | 0.0248403 | − | 0.00729376i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −42.1878 | + | 27.1124i | −1.34971 | + | 0.867404i | −0.997646 | − | 0.0685737i | \(-0.978155\pi\) |
−0.352060 | + | 0.935977i | \(0.614519\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −1.93315 | − | 2.23098i | −0.0617838 | − | 0.0713023i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −1.44020 | + | 10.0168i | −0.0459819 | + | 0.319811i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 7.57118 | − | 16.5786i | 0.241483 | − | 0.528774i | −0.749620 | − | 0.661868i | \(-0.769764\pi\) |
0.991103 | + | 0.133094i | \(0.0424912\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −2.29963 | − | 5.03549i | −0.0732724 | − | 0.160444i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −24.5855 | − | 15.8001i | −0.782564 | − | 0.502923i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −38.3168 | − | 45.2372i | −1.21840 | − | 1.43846i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −4.39499 | − | 2.82449i | −0.139612 | − | 0.0897229i | 0.468971 | − | 0.883214i | \(-0.344625\pi\) |
−0.608582 | + | 0.793491i | \(0.708261\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −0.594143 | − | 1.30099i | −0.0188546 | − | 0.0412857i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 4.10792 | − | 8.99510i | 0.130230 | − | 0.285164i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −5.14370 | + | 35.7752i | −0.162903 | + | 1.13301i | 0.730225 | + | 0.683207i | \(0.239415\pi\) |
−0.893127 | + | 0.449805i | \(0.851494\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 3.80443 | + | 4.39055i | 0.120367 | + | 0.138911i |
(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 | 552.2.q.b.25.1 | ✓ | 30 | |
23.12 | even | 11 | inner | 552.2.q.b.265.1 | yes | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
552.2.q.b.25.1 | ✓ | 30 | 1.1 | even | 1 | trivial | |
552.2.q.b.265.1 | yes | 30 | 23.12 | even | 11 | inner |