Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(25,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.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: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 25.4 | ||
Character | \(\chi\) | \(=\) | 804.25 |
Dual form | 804.2.q.b.193.4 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{11}\right)\) | \(1\) |
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 | ||||||||
\(3\) | 0.654861 | − | 0.755750i | 0.378084 | − | 0.436332i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.12656 | − | 0.723994i | 0.503812 | − | 0.323780i | −0.263928 | − | 0.964543i | \(-0.585018\pi\) |
0.767739 | + | 0.640762i | \(0.221382\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.202268 | − | 1.40680i | −0.0764499 | − | 0.531721i | −0.991674 | − | 0.128775i | \(-0.958895\pi\) |
0.915224 | − | 0.402946i | \(-0.132014\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.142315 | − | 0.989821i | −0.0474383 | − | 0.329940i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.52874 | + | 1.62512i | −0.762443 | + | 0.489992i | −0.863165 | − | 0.504922i | \(-0.831521\pi\) |
0.100722 | + | 0.994915i | \(0.467885\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.08620 | − | 2.37844i | 0.301256 | − | 0.659660i | −0.697100 | − | 0.716974i | \(-0.745527\pi\) |
0.998356 | + | 0.0573146i | \(0.0182538\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.190580 | − | 1.32551i | 0.0492075 | − | 0.342245i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 2.15851 | + | 0.633795i | 0.523515 | + | 0.153718i | 0.532804 | − | 0.846239i | \(-0.321138\pi\) |
−0.00928835 | + | 0.999957i | \(0.502957\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.08664 | − | 7.55774i | 0.249292 | − | 1.73386i | −0.353030 | − | 0.935612i | \(-0.614849\pi\) |
0.602323 | − | 0.798253i | \(-0.294242\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.19565 | − | 0.768395i | −0.260911 | − | 0.167678i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 5.68168 | − | 6.55701i | 1.18471 | − | 1.36723i | 0.270135 | − | 0.962823i | \(-0.412932\pi\) |
0.914578 | − | 0.404409i | \(-0.132523\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.33211 | + | 2.91692i | −0.266422 | + | 0.583384i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −0.841254 | − | 0.540641i | −0.161899 | − | 0.104046i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −3.39419 | −0.630286 | −0.315143 | − | 0.949044i | \(-0.602052\pi\) | ||||
−0.315143 | + | 0.949044i | \(0.602052\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.49181 | + | 3.26660i | 0.267936 | + | 0.586699i | 0.995000 | − | 0.0998707i | \(-0.0318429\pi\) |
−0.727064 | + | 0.686570i | \(0.759116\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −0.427787 | + | 2.97532i | −0.0744681 | + | 0.517937i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −1.24638 | − | 1.43840i | −0.210677 | − | 0.243134i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −6.63386 | −1.09060 | −0.545300 | − | 0.838241i | \(-0.683584\pi\) | ||||
−0.545300 | + | 0.838241i | \(0.683584\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −1.08620 | − | 2.37844i | −0.173930 | − | 0.380855i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 1.86302 | + | 0.547031i | 0.290954 | + | 0.0854319i | 0.423953 | − | 0.905684i | \(-0.360642\pi\) |
−0.132998 | + | 0.991116i | \(0.542461\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −8.87900 | − | 2.60711i | −1.35403 | − | 0.397581i | −0.477379 | − | 0.878698i | \(-0.658413\pi\) |
−0.876656 | + | 0.481117i | \(0.840231\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −0.876951 | − | 1.01206i | −0.130728 | − | 0.150868i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −0.660772 | + | 0.762571i | −0.0963835 | + | 0.111232i | −0.801892 | − | 0.597469i | \(-0.796173\pi\) |
0.705509 | + | 0.708701i | \(0.250719\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 4.77827 | − | 1.40303i | 0.682610 | − | 0.200432i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 1.89251 | − | 1.21624i | 0.265005 | − | 0.170308i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 11.0069 | − | 3.23191i | 1.51191 | − | 0.443937i | 0.582453 | − | 0.812864i | \(-0.302093\pi\) |
0.929458 | + | 0.368927i | \(0.120275\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.67219 | + | 3.66158i | −0.225478 | + | 0.493728i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −5.00016 | − | 5.77049i | −0.662288 | − | 0.764321i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 3.66918 | + | 8.03438i | 0.477687 | + | 1.04599i | 0.983093 | + | 0.183106i | \(0.0586152\pi\) |
−0.505407 | + | 0.862881i | \(0.668657\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 8.80650 | + | 5.65959i | 1.12756 | + | 0.724637i | 0.965049 | − | 0.262071i | \(-0.0844053\pi\) |
0.162508 | + | 0.986707i | \(0.448042\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −1.36370 | + | 0.400417i | −0.171810 | + | 0.0504479i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −0.498313 | − | 3.46584i | −0.0618081 | − | 0.429885i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.105510 | − | 8.18467i | 0.0128902 | − | 0.999917i | ||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −1.23475 | − | 8.58786i | −0.148646 | − | 1.03386i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −3.96022 | + | 1.16283i | −0.469992 | + | 0.138002i | −0.508148 | − | 0.861270i | \(-0.669670\pi\) |
0.0381560 | + | 0.999272i | \(0.487852\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.59618 | − | 4.23911i | −0.772024 | − | 0.496150i | 0.0943538 | − | 0.995539i | \(-0.469922\pi\) |
−0.866378 | + | 0.499389i | \(0.833558\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 1.33211 | + | 2.91692i | 0.153819 | + | 0.336817i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 2.79770 | + | 3.22872i | 0.318828 | + | 0.367947i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 3.97765 | − | 8.70984i | 0.447521 | − | 0.979934i | −0.542635 | − | 0.839968i | \(-0.682573\pi\) |
0.990156 | − | 0.139966i | \(-0.0446992\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.959493 | + | 0.281733i | −0.106610 | + | 0.0313036i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −7.38873 | + | 4.74845i | −0.811018 | + | 0.521210i | −0.879194 | − | 0.476463i | \(-0.841918\pi\) |
0.0681759 | + | 0.997673i | \(0.478282\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.89055 | − | 0.848742i | 0.313524 | − | 0.0920589i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −2.22272 | + | 2.56516i | −0.238301 | + | 0.275014i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 7.60486 | + | 8.77648i | 0.806113 | + | 0.930305i | 0.998700 | − | 0.0509754i | \(-0.0162330\pi\) |
−0.192586 | + | 0.981280i | \(0.561688\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −3.56569 | − | 1.04698i | −0.373786 | − | 0.109753i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 3.44566 | + | 1.01174i | 0.357298 | + | 0.104912i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −4.24760 | − | 9.30095i | −0.435795 | − | 0.954257i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −5.54010 | −0.562512 | −0.281256 | − | 0.959633i | \(-0.590751\pi\) | ||||
−0.281256 | + | 0.959633i | \(0.590751\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 1.96846 | + | 2.27172i | 0.197837 | + | 0.228316i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −1.94942 | + | 13.5585i | −0.193974 | + | 1.34912i | 0.627385 | + | 0.778709i | \(0.284125\pi\) |
−0.821360 | + | 0.570411i | \(0.806784\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −5.86913 | − | 12.8516i | −0.578303 | − | 1.26631i | −0.942257 | − | 0.334890i | \(-0.891301\pi\) |
0.363955 | − | 0.931417i | \(-0.381426\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −1.90328 | −0.185741 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 11.6790 | + | 7.50566i | 1.12905 | + | 0.725600i | 0.965363 | − | 0.260912i | \(-0.0840232\pi\) |
0.163692 | + | 0.986511i | \(0.447660\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −0.953650 | + | 2.08820i | −0.0913431 | + | 0.200013i | −0.949789 | − | 0.312890i | \(-0.898703\pi\) |
0.858446 | + | 0.512904i | \(0.171430\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −4.34426 | + | 5.01354i | −0.412339 | + | 0.475864i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 11.3583 | + | 7.29951i | 1.06849 | + | 0.686680i | 0.951872 | − | 0.306497i | \(-0.0991568\pi\) |
0.116623 | + | 0.993176i | \(0.462793\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.65350 | − | 11.5004i | 0.154190 | − | 1.07241i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −2.50881 | − | 0.736653i | −0.231940 | − | 0.0681036i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0.455028 | − | 3.16479i | 0.0417124 | − | 0.290116i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.816068 | + | 1.78694i | −0.0741880 | + | 0.162449i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 1.63343 | − | 1.04974i | 0.147282 | − | 0.0946523i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 1.56403 | + | 10.8781i | 0.139891 | + | 0.972964i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.92871 | + | 13.4145i | 0.171146 | + | 1.19034i | 0.876469 | + | 0.481459i | \(0.159893\pi\) |
−0.705323 | + | 0.708886i | \(0.749198\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −7.78483 | + | 5.00301i | −0.685416 | + | 0.440490i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 9.57774 | − | 11.0533i | 0.836811 | − | 0.965731i | −0.162971 | − | 0.986631i | \(-0.552108\pi\) |
0.999782 | + | 0.0208995i | \(0.00665300\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −10.8520 | −0.940991 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −1.33914 | −0.115255 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 3.72372 | − | 4.29740i | 0.318139 | − | 0.367152i | −0.574045 | − | 0.818823i | \(-0.694627\pi\) |
0.892184 | + | 0.451672i | \(0.149172\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −11.7701 | + | 7.56419i | −0.998328 | + | 0.641587i | −0.934347 | − | 0.356365i | \(-0.884016\pi\) |
−0.0639811 | + | 0.997951i | \(0.520380\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.143599 | + | 0.998756i | 0.0120933 | + | 0.0841104i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 1.11854 | + | 7.77964i | 0.0935373 | + | 0.650566i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −3.82375 | + | 2.45738i | −0.317545 | + | 0.204074i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 2.06877 | − | 4.52997i | 0.170629 | − | 0.373625i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −3.09970 | + | 21.5589i | −0.253938 | + | 1.76617i | 0.320137 | + | 0.947371i | \(0.396271\pi\) |
−0.574074 | + | 0.818803i | \(0.694638\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 9.93981 | + | 2.91859i | 0.808890 | + | 0.237512i | 0.659926 | − | 0.751331i | \(-0.270588\pi\) |
0.148965 | + | 0.988843i | \(0.452406\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0.320156 | − | 2.22674i | 0.0258831 | − | 0.180021i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 4.04561 | + | 2.59995i | 0.324951 | + | 0.208833i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.48075 | − | 1.70888i | 0.118177 | − | 0.136383i | −0.693578 | − | 0.720381i | \(-0.743967\pi\) |
0.811755 | + | 0.583998i | \(0.198512\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 4.76546 | − | 10.4349i | 0.377925 | − | 0.827541i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −10.3736 | − | 6.66673i | −0.817557 | − | 0.525412i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 16.1499 | 1.26496 | 0.632479 | − | 0.774577i | \(-0.282037\pi\) | ||||
0.632479 | + | 0.774577i | \(0.282037\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 1.67219 | + | 3.66158i | 0.130180 | + | 0.285054i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −0.874032 | + | 6.07902i | −0.0676346 | + | 0.470409i | 0.927653 | + | 0.373443i | \(0.121823\pi\) |
−0.995288 | + | 0.0969660i | \(0.969086\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 4.03605 | + | 4.65785i | 0.310465 | + | 0.358296i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −7.63546 | −0.583898 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 2.01439 | + | 4.41090i | 0.153151 | + | 0.335355i | 0.970620 | − | 0.240619i | \(-0.0773504\pi\) |
−0.817468 | + | 0.575974i | \(0.804623\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 4.37297 | + | 1.28402i | 0.330565 | + | 0.0970627i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 8.47478 | + | 2.48842i | 0.637004 | + | 0.187041i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −14.9942 | − | 17.3042i | −1.12072 | − | 1.29338i | −0.951449 | − | 0.307806i | \(-0.900405\pi\) |
−0.169267 | − | 0.985570i | \(-0.554140\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −7.12283 | + | 8.22018i | −0.529435 | + | 0.611001i | −0.955968 | − | 0.293471i | \(-0.905190\pi\) |
0.426532 | + | 0.904472i | \(0.359735\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 10.0443 | − | 2.94926i | 0.742493 | − | 0.218016i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −7.47343 | + | 4.80288i | −0.549457 | + | 0.353115i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −6.48830 | + | 1.90514i | −0.474471 | + | 0.139317i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −0.590416 | + | 1.29283i | −0.0429464 | + | 0.0940396i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 10.8396 | + | 12.5095i | 0.784323 | + | 0.905157i | 0.997414 | − | 0.0718758i | \(-0.0228985\pi\) |
−0.213091 | + | 0.977032i | \(0.568353\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 4.01603 | + | 8.79387i | 0.289080 | + | 0.632997i | 0.997335 | − | 0.0729601i | \(-0.0232446\pi\) |
−0.708255 | + | 0.705957i | \(0.750517\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −2.94564 | − | 1.89305i | −0.210941 | − | 0.135564i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 4.17889 | − | 1.22703i | 0.297734 | − | 0.0874226i | −0.129454 | − | 0.991585i | \(-0.541322\pi\) |
0.427188 | + | 0.904163i | \(0.359504\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 2.24247 | + | 15.5967i | 0.158964 | + | 1.10562i | 0.900547 | + | 0.434759i | \(0.143166\pi\) |
−0.741582 | + | 0.670862i | \(0.765924\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −6.11647 | − | 5.43956i | −0.431422 | − | 0.383677i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0.686535 | + | 4.77495i | 0.0481853 | + | 0.335136i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 2.49484 | − | 0.732551i | 0.174247 | − | 0.0511636i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −7.29886 | − | 4.69069i | −0.507306 | − | 0.326026i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 9.53442 | + | 20.8775i | 0.659510 | + | 1.44412i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −9.34056 | − | 10.7796i | −0.643031 | − | 0.742097i | 0.336877 | − | 0.941549i | \(-0.390629\pi\) |
−0.979908 | + | 0.199451i | \(0.936084\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −1.71459 | + | 3.75443i | −0.117482 | + | 0.257249i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −11.8902 | + | 3.49129i | −0.810907 | + | 0.238104i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 4.29372 | − | 2.75940i | 0.291476 | − | 0.187321i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −7.52328 | + | 2.20903i | −0.508376 | + | 0.149273i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 3.85201 | − | 4.44545i | 0.259114 | − | 0.299033i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 14.7457 | + | 17.0174i | 0.987444 | + | 1.13957i | 0.990212 | + | 0.139575i | \(0.0445736\pi\) |
−0.00276766 | + | 0.999996i | \(0.500881\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 3.07681 | + | 0.903432i | 0.205120 | + | 0.0602288i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −9.14491 | − | 2.68519i | −0.606969 | − | 0.178222i | −0.0362160 | − | 0.999344i | \(-0.511530\pi\) |
−0.570753 | + | 0.821122i | \(0.693349\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −2.91562 | − | 6.38432i | −0.192670 | − | 0.421888i | 0.788500 | − | 0.615034i | \(-0.210858\pi\) |
−0.981170 | + | 0.193147i | \(0.938131\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 4.27221 | 0.281091 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 6.11516 | + | 7.05727i | 0.400617 | + | 0.462337i | 0.919835 | − | 0.392305i | \(-0.128322\pi\) |
−0.519218 | + | 0.854642i | \(0.673777\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.192300 | + | 1.33748i | −0.0125443 | + | 0.0872473i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −3.97765 | − | 8.70984i | −0.258376 | − | 0.565765i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −26.4821 | −1.71299 | −0.856493 | − | 0.516158i | \(-0.827362\pi\) | ||||
−0.856493 | + | 0.516158i | \(0.827362\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −18.3896 | − | 11.8182i | −1.18458 | − | 0.761280i | −0.208353 | − | 0.978054i | \(-0.566810\pi\) |
−0.976222 | + | 0.216773i | \(0.930447\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.415415 | + | 0.909632i | −0.0266489 | + | 0.0583529i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 4.36721 | − | 5.04003i | 0.279011 | − | 0.321996i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −16.7953 | − | 10.7937i | −1.06866 | − | 0.686786i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −1.24995 | + | 8.69360i | −0.0792124 | + | 0.550935i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −8.16027 | − | 2.39607i | −0.515072 | − | 0.151239i | 0.0138586 | − | 0.999904i | \(-0.495589\pi\) |
−0.528930 | + | 0.848665i | \(0.677407\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −3.71155 | + | 25.8144i | −0.233343 | + | 1.62294i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 1.25147 | − | 2.74034i | 0.0783701 | − | 0.171607i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 10.2447 | − | 6.58389i | 0.639049 | − | 0.410692i | −0.180601 | − | 0.983556i | \(-0.557804\pi\) |
0.819650 | + | 0.572865i | \(0.194168\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.34182 | + | 9.33253i | 0.0833763 | + | 0.579895i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0.483044 | + | 3.35964i | 0.0298997 | + | 0.207957i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 8.47112 | − | 5.44406i | 0.522352 | − | 0.335695i | −0.252750 | − | 0.967532i | \(-0.581335\pi\) |
0.775102 | + | 0.631837i | \(0.217699\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 10.0600 | − | 11.6099i | 0.617981 | − | 0.713188i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 11.6129 | 0.710700 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 14.3381 | 0.874208 | 0.437104 | − | 0.899411i | \(-0.356004\pi\) | ||||
0.437104 | + | 0.899411i | \(0.356004\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.12115 | − | 1.29388i | 0.0681050 | − | 0.0785974i | −0.720675 | − | 0.693273i | \(-0.756168\pi\) |
0.788780 | + | 0.614676i | \(0.210713\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −3.12629 | + | 2.00914i | −0.189211 | + | 0.121599i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −1.37178 | − | 9.54096i | −0.0827217 | − | 0.575342i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 0.214899 | + | 1.49466i | 0.0129120 | + | 0.0898052i | 0.995258 | − | 0.0972657i | \(-0.0310097\pi\) |
−0.982346 | + | 0.187071i | \(0.940101\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 3.02105 | − | 1.94151i | 0.180865 | − | 0.116235i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 2.61728 | − | 5.73104i | 0.156134 | − | 0.341885i | −0.815359 | − | 0.578956i | \(-0.803460\pi\) |
0.971492 | + | 0.237071i | \(0.0761875\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 2.63994 | − | 18.3612i | 0.156928 | − | 1.09146i | −0.747324 | − | 0.664460i | \(-0.768662\pi\) |
0.904252 | − | 0.426999i | \(-0.140429\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −9.81077 | − | 2.88070i | −0.581140 | − | 0.170638i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0.392736 | − | 2.73154i | 0.0231825 | − | 0.161238i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −10.0438 | − | 6.45479i | −0.590814 | − | 0.379693i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −3.62799 | + | 4.18693i | −0.212677 | + | 0.245442i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −2.59390 | + | 5.67986i | −0.151537 | + | 0.331821i | −0.970142 | − | 0.242536i | \(-0.922021\pi\) |
0.818605 | + | 0.574357i | \(0.194748\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 9.95039 | + | 6.39473i | 0.579334 | + | 0.372315i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 3.00592 | 0.174421 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −9.42402 | − | 20.6357i | −0.545005 | − | 1.19339i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.87175 | + | 13.0183i | −0.107886 | + | 0.750364i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 8.97022 | + | 10.3522i | 0.515326 | + | 0.594718i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 14.0185 | 0.802699 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 8.79483 | + | 19.2580i | 0.501948 | + | 1.09911i | 0.975831 | + | 0.218524i | \(0.0701243\pi\) |
−0.473884 | + | 0.880587i | \(0.657148\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −13.5561 | − | 3.98042i | −0.771177 | − | 0.226438i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 11.5887 | + | 3.40276i | 0.657137 | + | 0.192953i | 0.593268 | − | 0.805005i | \(-0.297838\pi\) |
0.0638697 | + | 0.997958i | \(0.479656\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 9.62902 | + | 11.1125i | 0.544265 | + | 0.628115i | 0.959537 | − | 0.281582i | \(-0.0908592\pi\) |
−0.415273 | + | 0.909697i | \(0.636314\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −1.24638 | + | 1.43840i | −0.0702257 | + | 0.0810448i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −27.7406 | + | 8.14537i | −1.55807 | + | 0.457490i | −0.943499 | − | 0.331375i | \(-0.892487\pi\) |
−0.614567 | + | 0.788865i | \(0.710669\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 8.58302 | − | 5.51597i | 0.480557 | − | 0.308835i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 13.3205 | − | 3.91126i | 0.743480 | − | 0.218305i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 7.13558 | − | 15.6247i | 0.397034 | − | 0.869384i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 5.49077 | + | 6.33669i | 0.304573 | + | 0.351496i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0.953650 | + | 2.08820i | 0.0527370 | + | 0.115478i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 1.20644 | + | 0.775331i | 0.0665132 | + | 0.0427454i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −15.3580 | + | 4.50953i | −0.844154 | + | 0.247866i | −0.675087 | − | 0.737738i | \(-0.735894\pi\) |
−0.169068 | + | 0.985604i | \(0.554076\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0.944097 | + | 6.56634i | 0.0517362 | + | 0.359833i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −5.80679 | − | 9.29689i | −0.317259 | − | 0.507943i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −2.75983 | − | 19.1950i | −0.150337 | − | 1.04562i | −0.915654 | − | 0.401966i | \(-0.868327\pi\) |
0.765317 | − | 0.643654i | \(-0.222582\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 12.9547 | − | 3.80384i | 0.703601 | − | 0.206596i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −9.08101 | − | 5.83601i | −0.491764 | − | 0.316038i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −7.07318 | − | 15.4881i | −0.381916 | − | 0.836279i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −7.60858 | − | 8.78076i | −0.409632 | − | 0.472740i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 7.53963 | − | 16.5095i | 0.404749 | − | 0.886276i | −0.592018 | − | 0.805925i | \(-0.701669\pi\) |
0.996767 | − | 0.0803511i | \(-0.0256041\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 18.6250 | − | 5.46879i | 0.996973 | − | 0.292738i | 0.257760 | − | 0.966209i | \(-0.417016\pi\) |
0.739213 | + | 0.673471i | \(0.235198\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −2.19965 | + | 1.41363i | −0.117408 | + | 0.0754538i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 4.25790 | − | 1.25023i | 0.226625 | − | 0.0665432i | −0.166448 | − | 0.986050i | \(-0.553230\pi\) |
0.393074 | + | 0.919507i | \(0.371412\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −3.61954 | + | 4.17717i | −0.192105 | + | 0.221701i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −2.09381 | − | 2.41638i | −0.110816 | − | 0.127889i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −5.39866 | − | 1.58519i | −0.284930 | − | 0.0836631i | 0.136144 | − | 0.990689i | \(-0.456529\pi\) |
−0.421075 | + | 0.907026i | \(0.638347\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −37.7083 | − | 11.0722i | −1.98465 | − | 0.582745i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0.816068 | + | 1.78694i | 0.0428325 | + | 0.0937900i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −10.5001 | −0.549598 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −10.2868 | − | 11.8716i | −0.536966 | − | 0.619692i | 0.420830 | − | 0.907139i | \(-0.361739\pi\) |
−0.957796 | + | 0.287447i | \(0.907193\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0.276328 | − | 1.92190i | 0.0143851 | − | 0.100050i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −6.77299 | − | 14.8308i | −0.351636 | − | 0.769976i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 13.5332 | 0.700723 | 0.350361 | − | 0.936615i | \(-0.386059\pi\) | ||||
0.350361 | + | 0.936615i | \(0.386059\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 9.24532 | + | 5.94161i | 0.477426 | + | 0.306823i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −3.68676 | + | 8.07287i | −0.189878 | + | 0.415774i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 12.5546 | − | 14.4888i | 0.644886 | − | 0.744238i | −0.335345 | − | 0.942096i | \(-0.608853\pi\) |
0.980231 | + | 0.197857i | \(0.0633982\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 11.4010 | + | 7.32701i | 0.584093 | + | 0.375374i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −4.66462 | + | 32.4431i | −0.238351 | + | 1.65777i | 0.421840 | + | 0.906670i | \(0.361384\pi\) |
−0.660191 | + | 0.751097i | \(0.729525\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 5.48935 | + | 1.61182i | 0.279763 | + | 0.0821459i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −1.31696 | + | 9.15966i | −0.0669448 | + | 0.465611i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −2.93841 | + | 6.43422i | −0.148983 | + | 0.326228i | −0.969379 | − | 0.245568i | \(-0.921026\pi\) |
0.820396 | + | 0.571795i | \(0.193753\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 16.4198 | − | 10.5523i | 0.830383 | − | 0.533655i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −2.08144 | − | 14.4767i | −0.104995 | − | 0.730255i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −1.82482 | − | 12.6919i | −0.0918169 | − | 0.638601i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −0.325544 | + | 0.209214i | −0.0163386 | + | 0.0105002i | −0.548785 | − | 0.835964i | \(-0.684909\pi\) |
0.532446 | + | 0.846464i | \(0.321273\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −7.10657 | + | 8.20142i | −0.355774 | + | 0.410585i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 9.41238 | 0.470032 | 0.235016 | − | 0.971992i | \(-0.424486\pi\) | ||||
0.235016 | + | 0.971992i | \(0.424486\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 9.38980 | 0.467739 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −0.876951 | + | 1.01206i | −0.0435760 | + | 0.0502894i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 16.7753 | − | 10.7808i | 0.831521 | − | 0.534386i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 0.104187 | + | 0.724633i | 0.00515169 | + | 0.0358308i | 0.992235 | − | 0.124376i | \(-0.0396929\pi\) |
−0.987083 | + | 0.160207i | \(0.948784\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −0.809241 | − | 5.62840i | −0.0399169 | − | 0.277628i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 10.5606 | − | 6.78690i | 0.519654 | − | 0.333962i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −4.88598 | + | 10.6988i | −0.239843 | + | 0.525183i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −1.99115 | + | 13.8488i | −0.0975070 | + | 0.678176i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −20.3895 | − | 5.98689i | −0.996091 | − | 0.292479i | −0.257240 | − | 0.966348i | \(-0.582813\pi\) |
−0.738851 | + | 0.673869i | \(0.764631\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 4.74139 | − | 32.9771i | 0.231081 | − | 1.60721i | −0.462359 | − | 0.886693i | \(-0.652997\pi\) |
0.693441 | − | 0.720514i | \(-0.256094\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0.848847 | + | 0.545521i | 0.0412724 | + | 0.0265241i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −4.72410 | + | 5.45191i | −0.229153 | + | 0.264456i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 6.18066 | − | 13.5337i | 0.299103 | − | 0.654944i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 6.61195 | + | 4.24924i | 0.319228 | + | 0.205155i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 18.1531 | 0.874402 | 0.437201 | − | 0.899364i | \(-0.355970\pi\) | ||||
0.437201 | + | 0.899364i | \(0.355970\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −4.44435 | − | 9.73177i | −0.213582 | − | 0.467679i | 0.772271 | − | 0.635294i | \(-0.219121\pi\) |
−0.985853 | + | 0.167614i | \(0.946394\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −0.646864 | + | 4.49904i | −0.0310148 | + | 0.215712i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −43.3823 | − | 50.0658i | −2.07525 | − | 2.39497i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 13.5190 | 0.645229 | 0.322614 | − | 0.946531i | \(-0.395438\pi\) | ||||
0.322614 | + | 0.946531i | \(0.395438\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −2.06877 | − | 4.52997i | −0.0985127 | − | 0.215713i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −3.50537 | − | 1.02927i | −0.166545 | − | 0.0489020i | 0.197397 | − | 0.980324i | \(-0.436751\pi\) |
−0.363942 | + | 0.931422i | \(0.618569\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 14.9214 | + | 4.38133i | 0.707344 | + | 0.207695i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 14.2633 | + | 16.4607i | 0.674629 | + | 0.778564i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 22.3267 | − | 25.7664i | 1.05366 | − | 1.21599i | 0.0779464 | − | 0.996958i | \(-0.475164\pi\) |
0.975717 | − | 0.219035i | \(-0.0702908\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −5.60007 | + | 1.64433i | −0.263697 | + | 0.0774284i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 8.71492 | − | 5.60074i | 0.409462 | − | 0.263146i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −4.77496 | + | 1.40206i | −0.223854 | + | 0.0657294i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 9.00452 | − | 19.7172i | 0.421214 | − | 0.922330i | −0.573458 | − | 0.819235i | \(-0.694398\pi\) |
0.994672 | − | 0.103094i | \(-0.0328744\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −1.47320 | − | 1.70016i | −0.0687630 | − | 0.0793567i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −7.24083 | − | 15.8552i | −0.337239 | − | 0.738450i | 0.662707 | − | 0.748879i | \(-0.269408\pi\) |
−0.999946 | + | 0.0104288i | \(0.996680\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 32.5779 | + | 20.9366i | 1.51402 | + | 0.973004i | 0.992826 | + | 0.119569i | \(0.0381512\pi\) |
0.521198 | + | 0.853436i | \(0.325485\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 4.61422 | − | 1.35486i | 0.213980 | − | 0.0628301i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −4.81787 | − | 33.5091i | −0.222945 | − | 1.55061i | −0.726814 | − | 0.686834i | \(-0.759000\pi\) |
0.503869 | − | 0.863780i | \(-0.331909\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −11.5356 | + | 1.50706i | −0.532662 | + | 0.0695896i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −0.321798 | − | 2.23815i | −0.0148277 | − | 0.103129i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 26.6895 | − | 7.83675i | 1.22719 | − | 0.360334i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 20.5978 | + | 13.2374i | 0.945091 | + | 0.607373i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −4.76546 | − | 10.4349i | −0.218195 | − | 0.477781i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −6.59804 | − | 7.61455i | −0.301472 | − | 0.347918i | 0.584720 | − | 0.811235i | \(-0.301204\pi\) |
−0.886192 | + | 0.463318i | \(0.846659\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −7.20567 | + | 15.7782i | −0.328550 | + | 0.719425i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −11.8317 | + | 3.47409i | −0.538359 | + | 0.158077i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −6.24124 | + | 4.01100i | −0.283400 | + | 0.182130i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −27.1679 | + | 7.97722i | −1.23110 | + | 0.361482i | −0.831663 | − | 0.555280i | \(-0.812611\pi\) |
−0.399433 | + | 0.916763i | \(0.630793\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 10.5759 | − | 12.2053i | 0.478260 | − | 0.551942i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −22.6326 | − | 26.1194i | −1.02139 | − | 1.17875i | −0.983765 | − | 0.179460i | \(-0.942565\pi\) |
−0.0376286 | − | 0.999292i | \(-0.511980\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −7.32639 | − | 2.15122i | −0.329964 | − | 0.0968862i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 3.86229 | + | 1.13407i | 0.173597 | + | 0.0509727i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 2.43689 | + | 5.33605i | 0.109310 | + | 0.239354i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 1.49914 | 0.0671108 | 0.0335554 | − | 0.999437i | \(-0.489317\pi\) | ||||
0.0335554 | + | 0.999437i | \(0.489317\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 4.02185 | + | 4.64146i | 0.179683 | + | 0.207365i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 1.10404 | − | 7.67875i | 0.0492266 | − | 0.342379i | −0.950292 | − | 0.311360i | \(-0.899216\pi\) |
0.999519 | − | 0.0310191i | \(-0.00987526\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 7.62014 | + | 16.6858i | 0.339092 | + | 0.742507i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 6.16322 | 0.273718 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 7.04353 | + | 4.52660i | 0.312199 | + | 0.200638i | 0.687351 | − | 0.726325i | \(-0.258773\pi\) |
−0.375152 | + | 0.926963i | \(0.622410\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −4.62939 | + | 10.1369i | −0.204792 | + | 0.448432i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −5.00016 | + | 5.77049i | −0.220763 | + | 0.254774i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −15.9164 | − | 10.2289i | −0.701360 | − | 0.450737i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.431648 | − | 3.00218i | 0.0189839 | − | 0.132036i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 4.65268 | + | 1.36615i | 0.204230 | + | 0.0599674i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −4.66783 | + | 32.4655i | −0.204502 | + | 1.42234i | 0.586214 | + | 0.810156i | \(0.300618\pi\) |
−0.790716 | + | 0.612183i | \(0.790291\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −2.29293 | + | 5.02082i | −0.100263 | + | 0.219545i | −0.953116 | − | 0.302606i | \(-0.902143\pi\) |
0.852853 | + | 0.522152i | \(0.174870\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 3.83408 | − | 2.46401i | 0.167333 | − | 0.107538i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 1.14972 | + | 7.99649i | 0.0500827 | + | 0.348333i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −7.43964 | − | 51.7438i | −0.323463 | − | 2.24973i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 7.43043 | − | 4.77524i | 0.322453 | − | 0.207228i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 3.32468 | − | 3.83688i | 0.144008 | − | 0.166194i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 18.5912 | 0.803766 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −22.8967 | −0.988067 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −9.80291 | + | 11.3132i | −0.422241 | + | 0.487292i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −25.5915 | + | 16.4466i | −1.10026 | + | 0.707096i | −0.959150 | − | 0.282898i | \(-0.908704\pi\) |
−0.141112 | + | 0.989994i | \(0.545068\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 1.54794 | + | 10.7661i | 0.0664284 | + | 0.462020i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0.437505 | + | 3.04292i | 0.0187407 | + | 0.130344i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −18.3111 | + | 11.7678i | −0.782924 | + | 0.503155i | −0.870003 | − | 0.493047i | \(-0.835883\pi\) |
0.0870789 | + | 0.996201i | \(0.472247\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 4.34869 | − | 9.52231i | 0.185598 | − | 0.406402i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −3.68826 | + | 25.6524i | −0.157125 | + | 1.09283i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −13.0576 | − | 3.83405i | −0.555264 | − | 0.163040i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −1.26428 | + | 8.79326i | −0.0536657 | + | 0.373253i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −22.9401 | − | 14.7427i | −0.972004 | − | 0.624669i | −0.0447088 | − | 0.999000i | \(-0.514236\pi\) |
−0.927295 | + | 0.374331i | \(0.877872\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −15.8452 | + | 18.2863i | −0.670180 | + | 0.773428i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −2.80913 | + | 6.15113i | −0.118601 | + | 0.259701i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −11.7296 | − | 7.53816i | −0.494344 | − | 0.317695i | 0.269607 | − | 0.962971i | \(-0.413106\pi\) |
−0.763950 | + | 0.645275i | \(0.776743\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 18.0805 | 0.760653 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0.590416 | + | 1.29283i | 0.0247951 | + | 0.0542938i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 0.736629 | − | 5.12337i | 0.0308811 | − | 0.214783i | −0.968538 | − | 0.248866i | \(-0.919942\pi\) |
0.999419 | + | 0.0340833i | \(0.0108512\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 4.73028 | + | 5.45904i | 0.197956 | + | 0.228454i | 0.846045 | − | 0.533111i | \(-0.178977\pi\) |
−0.648089 | + | 0.761564i | \(0.724432\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 16.5525 | 0.691489 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 11.5576 | + | 25.3077i | 0.481986 | + | 1.05540i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 21.1778 | + | 6.21837i | 0.881645 | + | 0.258874i | 0.691061 | − | 0.722797i | \(-0.257144\pi\) |
0.190584 | + | 0.981671i | \(0.438962\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 9.27590 | + | 2.72365i | 0.385493 | + | 0.113191i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 8.17462 | + | 9.43402i | 0.339140 | + | 0.391389i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −22.5813 | + | 26.0602i | −0.935221 | + | 1.07930i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −3.35965 | + | 0.986482i | −0.138904 | + | 0.0407860i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −8.22817 | + | 5.28793i | −0.339613 | + | 0.218256i | −0.699319 | − | 0.714810i | \(-0.746513\pi\) |
0.359706 | + | 0.933066i | \(0.382877\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 26.3092 | − | 7.72507i | 1.08405 | − | 0.318306i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 1.80926 | − | 3.96173i | 0.0744231 | − | 0.162964i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −14.3954 | − | 16.6132i | −0.591148 | − | 0.682221i | 0.378816 | − | 0.925472i | \(-0.376331\pi\) |
−0.969963 | + | 0.243252i | \(0.921786\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −1.77867 | − | 3.89475i | −0.0729186 | − | 0.159669i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 13.2557 | + | 8.51892i | 0.542520 | + | 0.348656i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −41.6630 | + | 12.2334i | −1.70230 | + | 0.499841i | −0.981201 | − | 0.192988i | \(-0.938182\pi\) |
−0.721102 | + | 0.692829i | \(0.756364\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −0.313733 | − | 2.18206i | −0.0127974 | − | 0.0890080i | 0.982422 | − | 0.186675i | \(-0.0597711\pi\) |
−0.995219 | + | 0.0976669i | \(0.968862\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −8.11638 | + | 1.06036i | −0.330525 | + | 0.0431814i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 0.374387 | + | 2.60392i | 0.0152210 | + | 0.105864i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 34.4626 | − | 10.1191i | 1.39879 | − | 0.410723i | 0.506525 | − | 0.862226i | \(-0.330930\pi\) |
0.892270 | + | 0.451502i | \(0.149112\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 4.05825 | + | 2.60808i | 0.164449 | + | 0.105685i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 1.09600 | + | 2.39991i | 0.0443394 | + | 0.0970898i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −1.28231 | − | 1.47986i | −0.0517918 | − | 0.0597710i | 0.729263 | − | 0.684234i | \(-0.239863\pi\) |
−0.781054 | + | 0.624463i | \(0.785318\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 1.08015 | − | 2.36519i | 0.0435558 | − | 0.0953738i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 8.62792 | − | 2.53339i | 0.347347 | − | 0.101990i | −0.103405 | − | 0.994639i | \(-0.532974\pi\) |
0.450752 | + | 0.892649i | \(0.351156\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 7.30225 | − | 4.69287i | 0.293502 | − | 0.188622i | −0.385600 | − | 0.922666i | \(-0.626006\pi\) |
0.679102 | + | 0.734044i | \(0.262369\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −8.32472 | + | 2.44436i | −0.334060 | + | 0.0980888i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 10.8085 | − | 12.4737i | 0.433035 | − | 0.499749i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.862081 | − | 0.994895i | −0.0344833 | − | 0.0397958i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 22.0219 | + | 6.46620i | 0.879468 | + | 0.258235i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −14.3193 | − | 4.20451i | −0.570946 | − | 0.167645i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 6.08155 | + | 13.3167i | 0.242103 | + | 0.530131i | 0.991207 | − | 0.132321i | \(-0.0422431\pi\) |
−0.749104 | + | 0.662452i | \(0.769516\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −14.2634 | −0.566921 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 11.8848 | + | 13.7158i | 0.471635 | + | 0.544296i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 1.85313 | − | 12.8888i | 0.0734236 | − | 0.510672i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 1.71459 | + | 3.75443i | 0.0678281 | + | 0.148523i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 11.8875 | 0.469526 | 0.234763 | − | 0.972053i | \(-0.424569\pi\) | ||||
0.234763 | + | 0.972053i | \(0.424569\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 29.4878 | + | 18.9507i | 1.16288 | + | 0.747341i | 0.972164 | − | 0.234303i | \(-0.0752809\pi\) |
0.190721 | + | 0.981644i | \(0.438917\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −5.14791 | + | 11.2723i | −0.202699 | + | 0.443848i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −29.7892 | + | 34.3785i | −1.17113 | + | 1.35156i | −0.247219 | + | 0.968960i | \(0.579517\pi\) |
−0.923914 | + | 0.382600i | \(0.875029\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −22.3352 | − | 14.3540i | −0.876735 | − | 0.563443i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0.726368 | − | 5.05200i | 0.0284686 | − | 0.198003i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 42.0184 | + | 12.3377i | 1.64431 | + | 0.482812i | 0.967399 | − | 0.253256i | \(-0.0815013\pi\) |
0.676908 | + | 0.736068i | \(0.263320\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 2.78734 | − | 19.3864i | 0.108911 | − | 0.757490i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −3.25722 | + | 7.13232i | −0.127076 | + | 0.278258i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −11.3357 | + | 7.28503i | −0.441577 | + | 0.283785i | −0.742477 | − | 0.669871i | \(-0.766349\pi\) |
0.300900 | + | 0.953656i | \(0.402713\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −4.48663 | − | 31.2052i | −0.174510 | − | 1.21374i | −0.869210 | − | 0.494443i | \(-0.835372\pi\) |
0.694700 | − | 0.719299i | \(-0.255537\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −0.837121 | − | 5.82230i | −0.0325111 | − | 0.226119i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −12.2254 | + | 7.85681i | −0.474082 | + | 0.304674i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −19.2847 | + | 22.2558i | −0.746707 | + | 0.861746i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 22.5173 | 0.870568 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −31.4669 | −1.21476 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −27.0163 | + | 31.1784i | −1.04140 | + | 1.20184i | −0.0623859 | + | 0.998052i | \(0.519871\pi\) |
−0.979015 | + | 0.203789i | \(0.934674\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 2.69765 | − | 1.73367i | 0.103833 | − | 0.0667291i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −7.19945 | − | 50.0733i | −0.276697 | − | 1.92447i | −0.370399 | − | 0.928873i | \(-0.620779\pi\) |
0.0937016 | − | 0.995600i | \(-0.470130\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 1.12058 | + | 7.79382i | 0.0430040 | + | 0.299099i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −8.01797 | + | 5.15284i | −0.307249 | + | 0.197457i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −13.2896 | + | 29.1002i | −0.508512 | + | 1.11349i | 0.465096 | + | 0.885260i | \(0.346020\pi\) |
−0.973608 | + | 0.228226i | \(0.926707\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.08369 | − | 7.53722i | 0.0414056 | − | 0.287982i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −6.73427 | − | 1.97736i | −0.256928 | − | 0.0754410i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 4.26873 | − | 29.6897i | 0.162626 | − | 1.13109i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −29.2522 | − | 18.7993i | −1.11281 | − | 0.715158i | −0.150904 | − | 0.988548i | \(-0.548219\pi\) |
−0.961903 | + | 0.273390i | \(0.911855\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 2.79770 | − | 3.22872i | 0.106276 | − | 0.122649i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −7.78327 | + | 17.0430i | −0.295236 | + | 0.646478i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 3.67463 | + | 2.36154i | 0.139187 | + | 0.0894498i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 9.33811 | 0.353200 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −4.30651 | − | 9.42994i | −0.162655 | − | 0.356164i | 0.810702 | − | 0.585458i | \(-0.199085\pi\) |
−0.973357 | + | 0.229294i | \(0.926358\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −7.20862 | + | 50.1370i | −0.271878 | + | 1.89095i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0.884867 | + | 1.02119i | 0.0333260 | + | 0.0384603i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 19.4684 | 0.732185 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 7.78656 | + | 17.0502i | 0.292431 | + | 0.640334i | 0.997640 | − | 0.0686658i | \(-0.0218742\pi\) |
−0.705209 | + | 0.708999i | \(0.749147\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −9.18727 | − | 2.69763i | −0.344550 | − | 0.101169i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 29.8951 | + | 8.77800i | 1.11958 | + | 0.328739i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 6.89252 | + | 7.95439i | 0.257766 | + | 0.297477i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −17.3421 | + | 20.0139i | −0.647653 | + | 0.747431i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 2.89873 | − | 0.851145i | 0.108104 | − | 0.0317423i | −0.227233 | − | 0.973840i | \(-0.572968\pi\) |
0.335337 | + | 0.942098i | \(0.391150\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −16.8925 | + | 10.8562i | −0.629110 | + | 0.404305i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −20.9742 | + | 6.15859i | −0.780040 | + | 0.229040i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 4.52144 | − | 9.90058i | 0.167922 | − | 0.367698i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 19.9419 | + | 23.0141i | 0.739603 | + | 0.853547i | 0.993517 | − | 0.113680i | \(-0.0362638\pi\) |
−0.253915 | + | 0.967227i | \(0.581718\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0.415415 | + | 0.909632i | 0.0153857 | + | 0.0336901i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −17.5130 | − | 11.2549i | −0.647743 | − | 0.416279i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 4.42962 | − | 1.30065i | 0.163612 | − | 0.0480408i | −0.198901 | − | 0.980020i | \(-0.563737\pi\) |
0.362513 | + | 0.931979i | \(0.381919\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −0.949086 | − | 6.60104i | −0.0350076 | − | 0.243483i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 13.0343 | + | 20.8684i | 0.480124 | + | 0.768696i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 4.41634 | + | 30.7163i | 0.162458 | + | 1.12992i | 0.893982 | + | 0.448103i | \(0.147900\pi\) |
−0.731524 | + | 0.681815i | \(0.761191\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −19.1559 | + | 5.62468i | −0.703710 | + | 0.206628i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 4.00743 | + | 2.57542i | 0.147018 | + | 0.0944830i | 0.612082 | − | 0.790794i | \(-0.290332\pi\) |
−0.465064 | + | 0.885277i | \(0.653969\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 12.1165 | + | 26.5315i | 0.443916 | + | 0.972039i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 5.75164 | + | 6.63775i | 0.210442 | + | 0.242862i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 8.19668 | − | 17.9482i | 0.299500 | − | 0.655814i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 18.2482 | − | 5.35816i | 0.665886 | − | 0.195522i | 0.0687160 | − | 0.997636i | \(-0.478110\pi\) |
0.597170 | + | 0.802114i | \(0.296292\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −7.15467 | + | 4.59803i | −0.260731 | + | 0.167561i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 13.3108 | − | 3.90841i | 0.484430 | − | 0.142241i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −3.76964 | + | 4.35040i | −0.137010 | + | 0.158118i | −0.820108 | − | 0.572209i | \(-0.806087\pi\) |
0.683098 | + | 0.730327i | \(0.260632\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 17.0787 | + | 19.7098i | 0.619916 | + | 0.715422i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −25.5030 | − | 7.48836i | −0.924483 | − | 0.271453i | −0.215358 | − | 0.976535i | \(-0.569092\pi\) |
−0.709125 | + | 0.705083i | \(0.750910\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 3.13058 | + | 0.919221i | 0.113335 | + | 0.0332780i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −1.25147 | − | 2.74034i | −0.0452470 | − | 0.0990771i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 23.0947 | 0.833902 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 10.0105 | + | 11.5528i | 0.360989 | + | 0.416604i | 0.906971 | − | 0.421193i | \(-0.138389\pi\) |
−0.545982 | + | 0.837797i | \(0.683843\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 1.73310 | − | 12.0540i | 0.0624161 | − | 0.434113i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −12.4743 | − | 27.3149i | −0.448669 | − | 0.982447i | −0.989925 | − | 0.141590i | \(-0.954779\pi\) |
0.541257 | − | 0.840857i | \(-0.317949\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −11.5157 | −0.413655 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 7.93176 | + | 5.09743i | 0.284550 | + | 0.182869i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 6.15874 | − | 13.4858i | 0.220660 | − | 0.483178i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 8.12464 | − | 9.37633i | 0.290722 | − | 0.335511i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 2.85538 | + | 1.83504i | 0.102043 | + | 0.0655789i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0.430932 | − | 2.99720i | 0.0153806 | − | 0.106975i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −4.18330 | − | 1.22833i | −0.149119 | − | 0.0437852i | 0.206321 | − | 0.978484i | \(-0.433851\pi\) |
−0.355440 | + | 0.934699i | \(0.615669\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 1.43306 | − | 9.96715i | 0.0510183 | − | 0.354840i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 7.97155 | − | 17.4553i | 0.283436 | − | 0.620638i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 23.0266 | − | 14.7983i | 0.817697 | − | 0.525502i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −2.18625 | − | 15.2057i | −0.0775382 | − | 0.539290i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 0.648156 | + | 4.50803i | 0.0229589 | + | 0.159682i | 0.998076 | − | 0.0620099i | \(-0.0197510\pi\) |
−0.975117 | + | 0.221692i | \(0.928842\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −1.90960 | + | 1.22722i | −0.0675567 | + | 0.0434160i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 7.60486 | − | 8.77648i | 0.268704 | − | 0.310102i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 23.5691 | 0.831734 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −16.5132 | −0.582013 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 9.38945 | − | 10.8360i | 0.330524 | − | 0.381445i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 2.60377 | − | 1.67334i | 0.0915438 | − | 0.0588316i | −0.494068 | − | 0.869423i | \(-0.664491\pi\) |
0.585612 | + | 0.810592i | \(0.300854\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −0.717384 | − | 4.98952i | −0.0251908 | − | 0.175206i | 0.973342 | − | 0.229359i | \(-0.0736630\pi\) |
−0.998533 | + | 0.0541536i | \(0.982754\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −0.243649 | − | 1.69462i | −0.00854515 | − | 0.0594328i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 18.1938 | − | 11.6924i | 0.637301 | − | 0.409568i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −29.3521 | + | 64.2722i | −1.02690 | + | 2.24860i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −0.528874 | + | 3.67840i | −0.0184803 | + | 0.128534i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 15.7214 | + | 4.61623i | 0.548681 | + | 0.161107i | 0.544312 | − | 0.838883i | \(-0.316791\pi\) |
0.00436976 | + | 0.999990i | \(0.498609\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −2.42735 | + | 16.8826i | −0.0846123 | + | 0.588491i | 0.902768 | + | 0.430127i | \(0.141531\pi\) |
−0.987381 | + | 0.158364i | \(0.949378\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −8.10891 | − | 5.21128i | −0.282316 | − | 0.181433i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −3.50963 | + | 4.05033i | −0.122042 | + | 0.140844i | −0.813482 | − | 0.581590i | \(-0.802431\pi\) |
0.691441 | + | 0.722433i | \(0.256976\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −12.3315 | + | 27.0022i | −0.428291 | + | 0.937826i | 0.565310 | + | 0.824878i | \(0.308757\pi\) |
−0.993601 | + | 0.112948i | \(0.963971\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 1.27031 | + | 0.816382i | 0.0440667 | + | 0.0283200i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 11.2032 | 0.388167 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 3.41653 | + | 7.48116i | 0.118234 | + | 0.258896i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0.511070 | − | 3.55457i | 0.0176652 | − | 0.122864i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 2.40070 | + | 2.77056i | 0.0828815 | + | 0.0956503i | 0.795676 | − | 0.605723i | \(-0.207116\pi\) |
−0.712794 | + | 0.701373i | \(0.752571\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −17.4795 | −0.602740 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −2.61728 | − | 5.73104i | −0.0901438 | − | 0.197387i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 7.91910 | + | 2.32526i | 0.272425 | + | 0.0799913i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 2.67893 | + | 0.786606i | 0.0920493 | + | 0.0270281i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −12.1477 | − | 14.0192i | −0.416907 | − | 0.481136i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −37.6915 | + | 43.4983i | −1.29205 | + | 1.49110i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 19.7102 | − | 5.78744i | 0.674865 | − | 0.198158i | 0.0736966 | − | 0.997281i | \(-0.476520\pi\) |
0.601168 | + | 0.799123i | \(0.294702\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −8.60178 | + | 5.52803i | −0.294175 | + | 0.189055i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −31.1486 | + | 9.14607i | −1.06402 | + | 0.312424i | −0.766468 | − | 0.642283i | \(-0.777988\pi\) |
−0.297550 | + | 0.954706i | \(0.596169\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 23.4346 | − | 51.3146i | 0.799578 | − | 1.75083i | 0.152652 | − | 0.988280i | \(-0.451219\pi\) |
0.646927 | − | 0.762552i | \(-0.276054\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −1.80717 | − | 2.08559i | −0.0615883 | − | 0.0710767i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 10.0703 | + | 22.0509i | 0.342798 | + | 0.750623i | 0.999995 | − | 0.00309591i | \(-0.000985460\pi\) |
−0.657197 | + | 0.753719i | \(0.728258\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 5.46280 | + | 3.51073i | 0.185741 | + | 0.119368i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −11.4555 | + | 3.36365i | −0.389050 | + | 0.114235i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 4.09611 | + | 28.4891i | 0.138951 | + | 0.966426i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −19.3521 | − | 9.14111i | −0.655722 | − | 0.309735i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0.788438 | + | 5.48371i | 0.0266846 | + | 0.185595i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 14.9869 | − | 4.40056i | 0.506651 | − | 0.148766i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −10.3942 | − | 6.67996i | −0.350988 | − | 0.225566i | 0.353252 | − | 0.935528i | \(-0.385076\pi\) |
−0.704240 | + | 0.709962i | \(0.748712\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 2.59390 | + | 5.67986i | 0.0874902 | + | 0.191577i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 2.16964 | + | 2.50390i | 0.0730970 | + | 0.0843584i | 0.791120 | − | 0.611661i | \(-0.209498\pi\) |
−0.718023 | + | 0.696019i | \(0.754953\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 13.5583 | − | 29.6886i | 0.456274 | − | 0.999101i | −0.532047 | − | 0.846715i | \(-0.678577\pi\) |
0.988321 | − | 0.152386i | \(-0.0486957\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 11.3489 | − | 3.33235i | 0.381490 | − | 0.112016i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 11.8355 | − | 7.60619i | 0.397396 | − | 0.255391i | −0.326646 | − | 0.945147i | \(-0.605919\pi\) |
0.724042 | + | 0.689756i | \(0.242282\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 18.4814 | − | 5.42664i | 0.619847 | − | 0.182004i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 1.96846 | − | 2.27172i | 0.0659458 | − | 0.0761055i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 5.04530 | + | 5.82258i | 0.168834 | + | 0.194845i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −29.4199 | − | 8.63847i | −0.983400 | − | 0.288752i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −21.7669 | − | 6.39133i | −0.726774 | − | 0.213400i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −5.06348 | − | 11.0875i | −0.168877 | − | 0.369788i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 25.8068 | 0.859750 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 8.61286 | + | 9.93977i | 0.286618 | + | 0.330775i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −2.07291 | + | 14.4174i | −0.0689058 | + | 0.479250i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −13.9008 | − | 30.4385i | −0.461569 | − | 1.01070i | −0.987127 | − | 0.159938i | \(-0.948871\pi\) |
0.525558 | − | 0.850758i | \(-0.323857\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 13.6979 | 0.454331 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 15.7747 | + | 10.1378i | 0.522640 | + | 0.335880i | 0.775215 | − | 0.631697i | \(-0.217641\pi\) |
−0.252576 | + | 0.967577i | \(0.581278\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 10.9674 | − | 24.0152i | 0.362967 | − | 0.794786i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 9.18019 | − | 10.5945i | 0.303488 | − | 0.350244i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −17.4871 | − | 11.2383i | −0.577474 | − | 0.371120i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −4.92642 | + | 34.2640i | −0.162508 | + | 1.13027i | 0.731378 | + | 0.681972i | \(0.238877\pi\) |
−0.893886 | + | 0.448294i | \(0.852032\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 20.3136 | + | 5.96461i | 0.669356 | + | 0.196541i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −1.53587 | + | 10.6822i | −0.0505537 | + | 0.351609i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 8.83705 | − | 19.3504i | 0.290560 | − | 0.636238i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −11.8855 | + | 7.63837i | −0.390372 | + | 0.250877i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 4.79276 | + | 33.3344i | 0.157245 | + | 1.09367i | 0.903681 | + | 0.428207i | \(0.140855\pi\) |
−0.746435 | + | 0.665458i | \(0.768236\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −5.41146 | − | 37.6375i | −0.177353 | − | 1.23352i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 10.1606 | − | 6.52985i | 0.332645 | − | 0.213778i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −5.93013 | + | 6.84374i | −0.193936 | + | 0.223814i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −6.12445 | −0.200077 | −0.100039 | − | 0.994984i | \(-0.531897\pi\) | ||||
−0.100039 | + | 0.994984i | \(0.531897\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 14.7039 | 0.479844 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −7.78831 | + | 8.98819i | −0.253892 | + | 0.293007i | −0.868359 | − | 0.495935i | \(-0.834825\pi\) |
0.614468 | + | 0.788942i | \(0.289371\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 14.1720 | − | 9.10776i | 0.461502 | − | 0.296590i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0.270865 | + | 1.88391i | 0.00881123 | + | 0.0612835i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 6.64143 | + | 46.1922i | 0.215817 | + | 1.50104i | 0.753249 | + | 0.657736i | \(0.228486\pi\) |
−0.537431 | + | 0.843308i | \(0.680605\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −17.2472 | + | 11.0841i | −0.559867 | + | 0.359805i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −12.0104 | + | 26.2990i | −0.389463 | + | 0.852804i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −1.72852 | + | 12.0221i | −0.0559924 | + | 0.389436i | 0.942484 | + | 0.334252i | \(0.108484\pi\) |
−0.998476 | + | 0.0551838i | \(0.982426\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 21.2682 | + | 6.24491i | 0.688223 | + | 0.202080i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 1.45199 | − | 10.0988i | 0.0469362 | − | 0.326448i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −6.79878 | − | 4.36931i | −0.219544 | − | 0.141092i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 11.8555 | − | 13.6820i | 0.382435 | − | 0.441353i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 5.76716 | − | 12.6283i | 0.185844 | − | 0.406942i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 10.8910 | + | 6.99922i | 0.350594 | + | 0.225313i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 39.4714 | 1.26932 | 0.634658 | − | 0.772793i | \(-0.281141\pi\) | ||||
0.634658 | + | 0.772793i | \(0.281141\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −7.13558 | − | 15.6247i | −0.229228 | − | 0.501939i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −0.361402 | + | 2.51361i | −0.0115980 | + | 0.0806655i | −0.994798 | − | 0.101864i | \(-0.967519\pi\) |
0.983200 | + | 0.182529i | \(0.0584285\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 13.0220 | + | 15.0282i | 0.417467 | + | 0.481783i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 8.38464 | 0.268523 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 1.64239 | + | 3.59632i | 0.0525446 | + | 0.115057i | 0.934083 | − | 0.357055i | \(-0.116219\pi\) |
−0.881539 | + | 0.472112i | \(0.843492\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −33.4935 | − | 9.83459i | −1.07046 | − | 0.314315i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 2.20267 | + | 0.646761i | 0.0703257 | + | 0.0206495i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 4.05025 | + | 4.67424i | 0.129183 | + | 0.149085i | 0.816656 | − | 0.577125i | \(-0.195825\pi\) |
−0.687473 | + | 0.726210i | \(0.741280\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 3.81940 | − | 4.40782i | 0.121696 | − | 0.140445i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 1.37601 | − | 0.404032i | 0.0437988 | − | 0.0128605i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −67.5425 | + | 43.4069i | −2.14773 | + | 1.38026i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −16.8314 | + | 4.94214i | −0.534666 | + | 0.156992i | −0.537909 | − | 0.843003i | \(-0.680786\pi\) |
0.00324337 | + | 0.999995i | \(0.498968\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −6.64931 | + | 14.5599i | −0.211009 | + | 0.462046i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 13.8182 | + | 15.9470i | 0.438066 | + | 0.505555i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −12.1638 | − | 26.6350i | −0.385231 | − | 0.843539i | −0.998557 | − | 0.0537087i | \(-0.982896\pi\) |
0.613325 | − | 0.789830i | \(-0.289831\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 5.58076 | + | 3.58654i | 0.176567 | + | 0.113473i |
(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 | 804.2.q.b.25.4 | ✓ | 60 | |
67.59 | even | 11 | inner | 804.2.q.b.193.4 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.q.b.25.4 | ✓ | 60 | 1.1 | even | 1 | trivial | |
804.2.q.b.193.4 | yes | 60 | 67.59 | even | 11 | inner |