Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(344,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.344");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.e (of order \(2\), degree \(1\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 344.3 | ||
Character | \(\chi\) | \(=\) | 483.344 |
Dual form | 483.2.e.a.344.45 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 2.35218i | − | 1.66324i | −0.555341 | − | 0.831622i | \(-0.687412\pi\) | ||
0.555341 | − | 0.831622i | \(-0.312588\pi\) | |||||||
\(3\) | 1.12077 | − | 1.32055i | 0.647080 | − | 0.762422i | ||||
\(4\) | −3.53277 | −1.76638 | ||||||||
\(5\) | −2.32116 | −1.03806 | −0.519028 | − | 0.854757i | \(-0.673706\pi\) | ||||
−0.519028 | + | 0.854757i | \(0.673706\pi\) | |||||||
\(6\) | −3.10619 | − | 2.63627i | −1.26810 | − | 1.07625i | ||||
\(7\) | 1.00000i | 0.377964i | ||||||||
\(8\) | 3.60535i | 1.27468i | ||||||||
\(9\) | −0.487727 | − | 2.96009i | −0.162576 | − | 0.986696i | ||||
\(10\) | 5.45980i | 1.72654i | ||||||||
\(11\) | −3.27605 | −0.987767 | −0.493884 | − | 0.869528i | \(-0.664423\pi\) | ||||
−0.493884 | + | 0.869528i | \(0.664423\pi\) | |||||||
\(12\) | −3.95944 | + | 4.66521i | −1.14299 | + | 1.34673i | ||||
\(13\) | −0.766081 | −0.212473 | −0.106236 | − | 0.994341i | \(-0.533880\pi\) | ||||
−0.106236 | + | 0.994341i | \(0.533880\pi\) | |||||||
\(14\) | 2.35218 | 0.628648 | ||||||||
\(15\) | −2.60150 | + | 3.06522i | −0.671705 | + | 0.791437i | ||||
\(16\) | 1.41491 | 0.353728 | ||||||||
\(17\) | −1.00367 | −0.243427 | −0.121713 | − | 0.992565i | \(-0.538839\pi\) | ||||
−0.121713 | + | 0.992565i | \(0.538839\pi\) | |||||||
\(18\) | −6.96267 | + | 1.14722i | −1.64112 | + | 0.270403i | ||||
\(19\) | − | 3.84491i | − | 0.882083i | −0.897487 | − | 0.441042i | \(-0.854609\pi\) | ||
0.897487 | − | 0.441042i | \(-0.145391\pi\) | |||||||
\(20\) | 8.20013 | 1.83360 | ||||||||
\(21\) | 1.32055 | + | 1.12077i | 0.288169 | + | 0.244573i | ||||
\(22\) | 7.70588i | 1.64290i | ||||||||
\(23\) | 3.66310 | + | 3.09543i | 0.763810 | + | 0.645441i | ||||
\(24\) | 4.76106 | + | 4.04079i | 0.971848 | + | 0.824822i | ||||
\(25\) | 0.387798 | 0.0775596 | ||||||||
\(26\) | 1.80196i | 0.353394i | ||||||||
\(27\) | −4.45559 | − | 2.67352i | −0.857479 | − | 0.514520i | ||||
\(28\) | − | 3.53277i | − | 0.667630i | ||||||
\(29\) | 0.127170i | 0.0236148i | 0.999930 | + | 0.0118074i | \(0.00375851\pi\) | ||||
−0.999930 | + | 0.0118074i | \(0.996241\pi\) | |||||||
\(30\) | 7.20996 | + | 6.11921i | 1.31635 | + | 1.11721i | ||||
\(31\) | 4.13415 | 0.742515 | 0.371257 | − | 0.928530i | \(-0.378927\pi\) | ||||
0.371257 | + | 0.928530i | \(0.378927\pi\) | |||||||
\(32\) | 3.88257i | 0.686348i | ||||||||
\(33\) | −3.67172 | + | 4.32621i | −0.639164 | + | 0.753096i | ||||
\(34\) | 2.36083i | 0.404878i | ||||||||
\(35\) | − | 2.32116i | − | 0.392348i | ||||||
\(36\) | 1.72303 | + | 10.4573i | 0.287171 | + | 1.74288i | ||||
\(37\) | − | 8.32017i | − | 1.36783i | −0.729563 | − | 0.683913i | \(-0.760277\pi\) | ||
0.729563 | − | 0.683913i | \(-0.239723\pi\) | |||||||
\(38\) | −9.04394 | −1.46712 | ||||||||
\(39\) | −0.858604 | + | 1.01165i | −0.137487 | + | 0.161994i | ||||
\(40\) | − | 8.36861i | − | 1.32319i | ||||||
\(41\) | − | 3.74563i | − | 0.584970i | −0.956270 | − | 0.292485i | \(-0.905518\pi\) | ||
0.956270 | − | 0.292485i | \(-0.0944821\pi\) | |||||||
\(42\) | 2.63627 | − | 3.10619i | 0.406785 | − | 0.479295i | ||||
\(43\) | − | 5.48730i | − | 0.836806i | −0.908262 | − | 0.418403i | \(-0.862590\pi\) | ||
0.908262 | − | 0.418403i | \(-0.137410\pi\) | |||||||
\(44\) | 11.5735 | 1.74478 | ||||||||
\(45\) | 1.13209 | + | 6.87085i | 0.168763 | + | 1.02425i | ||||
\(46\) | 7.28101 | − | 8.61630i | 1.07353 | − | 1.27040i | ||||
\(47\) | − | 9.48738i | − | 1.38388i | −0.721957 | − | 0.691938i | \(-0.756757\pi\) | ||
0.721957 | − | 0.691938i | \(-0.243243\pi\) | |||||||
\(48\) | 1.58580 | − | 1.86847i | 0.228890 | − | 0.269690i | ||||
\(49\) | −1.00000 | −0.142857 | ||||||||
\(50\) | − | 0.912172i | − | 0.129001i | ||||||
\(51\) | −1.12489 | + | 1.32541i | −0.157517 | + | 0.185594i | ||||
\(52\) | 2.70639 | 0.375308 | ||||||||
\(53\) | −6.61336 | −0.908415 | −0.454208 | − | 0.890896i | \(-0.650078\pi\) | ||||
−0.454208 | + | 0.890896i | \(0.650078\pi\) | |||||||
\(54\) | −6.28861 | + | 10.4804i | −0.855772 | + | 1.42620i | ||||
\(55\) | 7.60426 | 1.02536 | ||||||||
\(56\) | −3.60535 | −0.481785 | ||||||||
\(57\) | −5.07741 | − | 4.30928i | −0.672520 | − | 0.570778i | ||||
\(58\) | 0.299127 | 0.0392773 | ||||||||
\(59\) | 3.94915i | 0.514136i | 0.966393 | + | 0.257068i | \(0.0827565\pi\) | ||||
−0.966393 | + | 0.257068i | \(0.917244\pi\) | |||||||
\(60\) | 9.19050 | − | 10.8287i | 1.18649 | − | 1.39798i | ||||
\(61\) | − | 12.6734i | − | 1.62266i | −0.584590 | − | 0.811329i | \(-0.698745\pi\) | ||
0.584590 | − | 0.811329i | \(-0.301255\pi\) | |||||||
\(62\) | − | 9.72427i | − | 1.23498i | ||||||
\(63\) | 2.96009 | − | 0.487727i | 0.372936 | − | 0.0614479i | ||||
\(64\) | 11.9623 | 1.49529 | ||||||||
\(65\) | 1.77820 | 0.220558 | ||||||||
\(66\) | 10.1760 | + | 8.63656i | 1.25258 | + | 1.06309i | ||||
\(67\) | 4.09736i | 0.500572i | 0.968172 | + | 0.250286i | \(0.0805246\pi\) | ||||
−0.968172 | + | 0.250286i | \(0.919475\pi\) | |||||||
\(68\) | 3.54575 | 0.429985 | ||||||||
\(69\) | 8.19319 | − | 1.36805i | 0.986345 | − | 0.164694i | ||||
\(70\) | −5.45980 | −0.652571 | ||||||||
\(71\) | − | 2.78937i | − | 0.331037i | −0.986207 | − | 0.165519i | \(-0.947070\pi\) | ||
0.986207 | − | 0.165519i | \(-0.0529298\pi\) | |||||||
\(72\) | 10.6722 | − | 1.75843i | 1.25773 | − | 0.207233i | ||||
\(73\) | 1.11384 | 0.130365 | 0.0651826 | − | 0.997873i | \(-0.479237\pi\) | ||||
0.0651826 | + | 0.997873i | \(0.479237\pi\) | |||||||
\(74\) | −19.5706 | −2.27503 | ||||||||
\(75\) | 0.434634 | − | 0.512108i | 0.0501872 | − | 0.0591332i | ||||
\(76\) | 13.5832i | 1.55810i | ||||||||
\(77\) | − | 3.27605i | − | 0.373341i | ||||||
\(78\) | 2.37959 | + | 2.01959i | 0.269435 | + | 0.228674i | ||||
\(79\) | 11.9480i | 1.34425i | 0.740436 | + | 0.672127i | \(0.234619\pi\) | ||||
−0.740436 | + | 0.672127i | \(0.765381\pi\) | |||||||
\(80\) | −3.28424 | −0.367190 | ||||||||
\(81\) | −8.52424 | + | 2.88743i | −0.947138 | + | 0.320826i | ||||
\(82\) | −8.81042 | −0.972948 | ||||||||
\(83\) | −10.7907 | −1.18444 | −0.592219 | − | 0.805777i | \(-0.701748\pi\) | ||||
−0.592219 | + | 0.805777i | \(0.701748\pi\) | |||||||
\(84\) | −4.66521 | − | 3.95944i | −0.509016 | − | 0.432010i | ||||
\(85\) | 2.32969 | 0.252691 | ||||||||
\(86\) | −12.9071 | −1.39181 | ||||||||
\(87\) | 0.167935 | + | 0.142529i | 0.0180045 | + | 0.0152807i | ||||
\(88\) | − | 11.8113i | − | 1.25909i | ||||||
\(89\) | 17.1066 | 1.81329 | 0.906647 | − | 0.421889i | \(-0.138633\pi\) | ||||
0.906647 | + | 0.421889i | \(0.138633\pi\) | |||||||
\(90\) | 16.1615 | − | 2.66290i | 1.70357 | − | 0.280694i | ||||
\(91\) | − | 0.766081i | − | 0.0803071i | ||||||
\(92\) | −12.9409 | − | 10.9354i | −1.34918 | − | 1.14010i | ||||
\(93\) | 4.63345 | − | 5.45937i | 0.480466 | − | 0.566110i | ||||
\(94\) | −22.3161 | −2.30173 | ||||||||
\(95\) | 8.92467i | 0.915652i | ||||||||
\(96\) | 5.12714 | + | 4.35148i | 0.523287 | + | 0.444122i | ||||
\(97\) | 4.16963i | 0.423361i | 0.977339 | + | 0.211681i | \(0.0678937\pi\) | ||||
−0.977339 | + | 0.211681i | \(0.932106\pi\) | |||||||
\(98\) | 2.35218i | 0.237606i | ||||||||
\(99\) | 1.59782 | + | 9.69741i | 0.160587 | + | 0.974626i | ||||
\(100\) | −1.37000 | −0.137000 | ||||||||
\(101\) | 2.31150i | 0.230003i | 0.993365 | + | 0.115001i | \(0.0366872\pi\) | ||||
−0.993365 | + | 0.115001i | \(0.963313\pi\) | |||||||
\(102\) | 3.11760 | + | 2.64596i | 0.308688 | + | 0.261989i | ||||
\(103\) | − | 3.40410i | − | 0.335416i | −0.985837 | − | 0.167708i | \(-0.946363\pi\) | ||
0.985837 | − | 0.167708i | \(-0.0536366\pi\) | |||||||
\(104\) | − | 2.76199i | − | 0.270835i | ||||||
\(105\) | −3.06522 | − | 2.60150i | −0.299135 | − | 0.253881i | ||||
\(106\) | 15.5558i | 1.51092i | ||||||||
\(107\) | −8.25153 | −0.797705 | −0.398853 | − | 0.917015i | \(-0.630591\pi\) | ||||
−0.398853 | + | 0.917015i | \(0.630591\pi\) | |||||||
\(108\) | 15.7406 | + | 9.44493i | 1.51464 | + | 0.908839i | ||||
\(109\) | 11.9034i | 1.14014i | 0.821595 | + | 0.570071i | \(0.193084\pi\) | ||||
−0.821595 | + | 0.570071i | \(0.806916\pi\) | |||||||
\(110\) | − | 17.8866i | − | 1.70542i | ||||||
\(111\) | −10.9872 | − | 9.32503i | −1.04286 | − | 0.885093i | ||||
\(112\) | 1.41491i | 0.133697i | ||||||||
\(113\) | 9.80907 | 0.922759 | 0.461380 | − | 0.887203i | \(-0.347355\pi\) | ||||
0.461380 | + | 0.887203i | \(0.347355\pi\) | |||||||
\(114\) | −10.1362 | + | 11.9430i | −0.949344 | + | 1.11857i | ||||
\(115\) | −8.50266 | − | 7.18499i | −0.792877 | − | 0.670004i | ||||
\(116\) | − | 0.449261i | − | 0.0417129i | ||||||
\(117\) | 0.373639 | + | 2.26767i | 0.0345429 | + | 0.209646i | ||||
\(118\) | 9.28914 | 0.855134 | ||||||||
\(119\) | − | 1.00367i | − | 0.0920067i | ||||||
\(120\) | −11.0512 | − | 9.37933i | −1.00883 | − | 0.856211i | ||||
\(121\) | −0.267471 | −0.0243155 | ||||||||
\(122\) | −29.8101 | −2.69888 | ||||||||
\(123\) | −4.94631 | − | 4.19801i | −0.445994 | − | 0.378522i | ||||
\(124\) | −14.6050 | −1.31157 | ||||||||
\(125\) | 10.7057 | 0.957544 | ||||||||
\(126\) | −1.14722 | − | 6.96267i | −0.102203 | − | 0.620284i | ||||
\(127\) | 10.7940 | 0.957814 | 0.478907 | − | 0.877866i | \(-0.341033\pi\) | ||||
0.478907 | + | 0.877866i | \(0.341033\pi\) | |||||||
\(128\) | − | 20.3725i | − | 1.80069i | ||||||
\(129\) | −7.24628 | − | 6.15003i | −0.637999 | − | 0.541480i | ||||
\(130\) | − | 4.18265i | − | 0.366843i | ||||||
\(131\) | − | 22.6807i | − | 1.98162i | −0.135263 | − | 0.990810i | \(-0.543188\pi\) | ||
0.135263 | − | 0.990810i | \(-0.456812\pi\) | |||||||
\(132\) | 12.9713 | − | 15.2835i | 1.12901 | − | 1.33026i | ||||
\(133\) | 3.84491 | 0.333396 | ||||||||
\(134\) | 9.63773 | 0.832573 | ||||||||
\(135\) | 10.3422 | + | 6.20568i | 0.890111 | + | 0.534100i | ||||
\(136\) | − | 3.61860i | − | 0.310292i | ||||||
\(137\) | −18.5836 | −1.58771 | −0.793854 | − | 0.608109i | \(-0.791929\pi\) | ||||
−0.793854 | + | 0.608109i | \(0.791929\pi\) | |||||||
\(138\) | −3.21791 | − | 19.2719i | −0.273927 | − | 1.64053i | ||||
\(139\) | −19.7545 | −1.67556 | −0.837779 | − | 0.546009i | \(-0.816146\pi\) | ||||
−0.837779 | + | 0.546009i | \(0.816146\pi\) | |||||||
\(140\) | 8.20013i | 0.693037i | ||||||||
\(141\) | −12.5286 | − | 10.6332i | −1.05510 | − | 0.895478i | ||||
\(142\) | −6.56110 | −0.550596 | ||||||||
\(143\) | 2.50972 | 0.209873 | ||||||||
\(144\) | −0.690092 | − | 4.18827i | −0.0575077 | − | 0.349022i | ||||
\(145\) | − | 0.295182i | − | 0.0245135i | ||||||
\(146\) | − | 2.61996i | − | 0.216829i | ||||||
\(147\) | −1.12077 | + | 1.32055i | −0.0924400 | + | 0.108917i | ||||
\(148\) | 29.3932i | 2.41611i | ||||||||
\(149\) | 20.1542 | 1.65110 | 0.825548 | − | 0.564331i | \(-0.190866\pi\) | ||||
0.825548 | + | 0.564331i | \(0.190866\pi\) | |||||||
\(150\) | −1.20457 | − | 1.02234i | −0.0983530 | − | 0.0834737i | ||||
\(151\) | 17.4899 | 1.42330 | 0.711652 | − | 0.702532i | \(-0.247947\pi\) | ||||
0.711652 | + | 0.702532i | \(0.247947\pi\) | |||||||
\(152\) | 13.8623 | 1.12438 | ||||||||
\(153\) | 0.489520 | + | 2.97096i | 0.0395753 | + | 0.240188i | ||||
\(154\) | −7.70588 | −0.620958 | ||||||||
\(155\) | −9.59603 | −0.770772 | ||||||||
\(156\) | 3.03325 | − | 3.57393i | 0.242854 | − | 0.286143i | ||||
\(157\) | − | 14.6196i | − | 1.16677i | −0.812196 | − | 0.583385i | \(-0.801728\pi\) | ||
0.812196 | − | 0.583385i | \(-0.198272\pi\) | |||||||
\(158\) | 28.1039 | 2.23582 | ||||||||
\(159\) | −7.41209 | + | 8.73331i | −0.587817 | + | 0.692596i | ||||
\(160\) | − | 9.01207i | − | 0.712467i | ||||||
\(161\) | −3.09543 | + | 3.66310i | −0.243954 | + | 0.288693i | ||||
\(162\) | 6.79177 | + | 20.0506i | 0.533612 | + | 1.57532i | ||||
\(163\) | 24.1271 | 1.88978 | 0.944891 | − | 0.327385i | \(-0.106168\pi\) | ||||
0.944891 | + | 0.327385i | \(0.106168\pi\) | |||||||
\(164\) | 13.2325i | 1.03328i | ||||||||
\(165\) | 8.52266 | − | 10.0418i | 0.663488 | − | 0.781756i | ||||
\(166\) | 25.3818i | 1.97001i | ||||||||
\(167\) | − | 12.4111i | − | 0.960399i | −0.877159 | − | 0.480199i | \(-0.840564\pi\) | ||
0.877159 | − | 0.480199i | \(-0.159436\pi\) | |||||||
\(168\) | −4.04079 | + | 4.76106i | −0.311753 | + | 0.367324i | ||||
\(169\) | −12.4131 | −0.954855 | ||||||||
\(170\) | − | 5.47986i | − | 0.420286i | ||||||
\(171\) | −11.3813 | + | 1.87527i | −0.870348 | + | 0.143405i | ||||
\(172\) | 19.3854i | 1.47812i | ||||||||
\(173\) | 7.37839i | 0.560969i | 0.959859 | + | 0.280484i | \(0.0904951\pi\) | ||||
−0.959859 | + | 0.280484i | \(0.909505\pi\) | |||||||
\(174\) | 0.335254 | − | 0.395013i | 0.0254155 | − | 0.0299459i | ||||
\(175\) | 0.387798i | 0.0293148i | ||||||||
\(176\) | −4.63533 | −0.349401 | ||||||||
\(177\) | 5.21507 | + | 4.42611i | 0.391989 | + | 0.332687i | ||||
\(178\) | − | 40.2378i | − | 3.01595i | ||||||
\(179\) | 20.7984i | 1.55454i | 0.629164 | + | 0.777272i | \(0.283397\pi\) | ||||
−0.629164 | + | 0.777272i | \(0.716603\pi\) | |||||||
\(180\) | −3.99943 | − | 24.2731i | −0.298100 | − | 1.80921i | ||||
\(181\) | − | 15.9327i | − | 1.18427i | −0.805838 | − | 0.592136i | \(-0.798285\pi\) | ||
0.805838 | − | 0.592136i | \(-0.201715\pi\) | |||||||
\(182\) | −1.80196 | −0.133570 | ||||||||
\(183\) | −16.7359 | − | 14.2040i | −1.23715 | − | 1.04999i | ||||
\(184\) | −11.1601 | + | 13.2068i | −0.822733 | + | 0.973617i | ||||
\(185\) | 19.3125i | 1.41988i | ||||||||
\(186\) | −12.8414 | − | 10.8987i | −0.941580 | − | 0.799133i | ||||
\(187\) | 3.28809 | 0.240449 | ||||||||
\(188\) | 33.5167i | 2.44446i | ||||||||
\(189\) | 2.67352 | − | 4.45559i | 0.194470 | − | 0.324096i | ||||
\(190\) | 20.9925 | 1.52295 | ||||||||
\(191\) | −10.1089 | −0.731452 | −0.365726 | − | 0.930722i | \(-0.619179\pi\) | ||||
−0.365726 | + | 0.930722i | \(0.619179\pi\) | |||||||
\(192\) | 13.4071 | − | 15.7969i | 0.967573 | − | 1.14004i | ||||
\(193\) | 19.4873 | 1.40273 | 0.701365 | − | 0.712802i | \(-0.252574\pi\) | ||||
0.701365 | + | 0.712802i | \(0.252574\pi\) | |||||||
\(194\) | 9.80773 | 0.704154 | ||||||||
\(195\) | 1.99296 | − | 2.34821i | 0.142719 | − | 0.168159i | ||||
\(196\) | 3.53277 | 0.252341 | ||||||||
\(197\) | 14.8199i | 1.05588i | 0.849283 | + | 0.527939i | \(0.177035\pi\) | ||||
−0.849283 | + | 0.527939i | \(0.822965\pi\) | |||||||
\(198\) | 22.8101 | − | 3.75837i | 1.62104 | − | 0.267096i | ||||
\(199\) | − | 14.8695i | − | 1.05407i | −0.849843 | − | 0.527036i | \(-0.823303\pi\) | ||
0.849843 | − | 0.527036i | \(-0.176697\pi\) | |||||||
\(200\) | 1.39815i | 0.0988640i | ||||||||
\(201\) | 5.41078 | + | 4.59221i | 0.381647 | + | 0.323910i | ||||
\(202\) | 5.43707 | 0.382551 | ||||||||
\(203\) | −0.127170 | −0.00892557 | ||||||||
\(204\) | 3.97399 | − | 4.68235i | 0.278235 | − | 0.327830i | ||||
\(205\) | 8.69423i | 0.607231i | ||||||||
\(206\) | −8.00708 | −0.557879 | ||||||||
\(207\) | 7.37614 | − | 12.3528i | 0.512677 | − | 0.858582i | ||||
\(208\) | −1.08394 | −0.0751575 | ||||||||
\(209\) | 12.5961i | 0.871293i | ||||||||
\(210\) | −6.11921 | + | 7.20996i | −0.422266 | + | 0.497535i | ||||
\(211\) | −16.1684 | −1.11308 | −0.556538 | − | 0.830822i | \(-0.687871\pi\) | ||||
−0.556538 | + | 0.830822i | \(0.687871\pi\) | |||||||
\(212\) | 23.3635 | 1.60461 | ||||||||
\(213\) | −3.68351 | − | 3.12625i | −0.252390 | − | 0.214207i | ||||
\(214\) | 19.4091i | 1.32678i | ||||||||
\(215\) | 12.7369i | 0.868651i | ||||||||
\(216\) | 9.63899 | − | 16.0640i | 0.655850 | − | 1.09301i | ||||
\(217\) | 4.13415i | 0.280644i | ||||||||
\(218\) | 27.9991 | 1.89634 | ||||||||
\(219\) | 1.24837 | − | 1.47089i | 0.0843567 | − | 0.0993934i | ||||
\(220\) | −26.8641 | −1.81118 | ||||||||
\(221\) | 0.768896 | 0.0517215 | ||||||||
\(222\) | −21.9342 | + | 25.8440i | −1.47213 | + | 1.73453i | ||||
\(223\) | −7.23975 | −0.484809 | −0.242405 | − | 0.970175i | \(-0.577936\pi\) | ||||
−0.242405 | + | 0.970175i | \(0.577936\pi\) | |||||||
\(224\) | −3.88257 | −0.259415 | ||||||||
\(225\) | −0.189140 | − | 1.14792i | −0.0126093 | − | 0.0765278i | ||||
\(226\) | − | 23.0727i | − | 1.53478i | ||||||
\(227\) | 23.7493 | 1.57630 | 0.788150 | − | 0.615484i | \(-0.211039\pi\) | ||||
0.788150 | + | 0.615484i | \(0.211039\pi\) | |||||||
\(228\) | 17.9373 | + | 15.2237i | 1.18793 | + | 1.00821i | ||||
\(229\) | 0.372945i | 0.0246449i | 0.999924 | + | 0.0123225i | \(0.00392246\pi\) | ||||
−0.999924 | + | 0.0123225i | \(0.996078\pi\) | |||||||
\(230\) | −16.9004 | + | 19.9998i | −1.11438 | + | 1.31875i | ||||
\(231\) | −4.32621 | − | 3.67172i | −0.284644 | − | 0.241581i | ||||
\(232\) | −0.458492 | −0.0301015 | ||||||||
\(233\) | − | 14.8258i | − | 0.971269i | −0.874162 | − | 0.485635i | \(-0.838589\pi\) | ||
0.874162 | − | 0.485635i | \(-0.161411\pi\) | |||||||
\(234\) | 5.33397 | − | 0.878867i | 0.348692 | − | 0.0574533i | ||||
\(235\) | 22.0218i | 1.43654i | ||||||||
\(236\) | − | 13.9514i | − | 0.908162i | ||||||
\(237\) | 15.7780 | + | 13.3910i | 1.02489 | + | 0.869840i | ||||
\(238\) | −2.36083 | −0.153030 | ||||||||
\(239\) | − | 9.40671i | − | 0.608469i | −0.952597 | − | 0.304235i | \(-0.901599\pi\) | ||
0.952597 | − | 0.304235i | \(-0.0984007\pi\) | |||||||
\(240\) | −3.68090 | + | 4.33702i | −0.237601 | + | 0.279954i | ||||
\(241\) | 19.5410i | 1.25875i | 0.777103 | + | 0.629373i | \(0.216688\pi\) | ||||
−0.777103 | + | 0.629373i | \(0.783312\pi\) | |||||||
\(242\) | 0.629141i | 0.0404427i | ||||||||
\(243\) | −5.74075 | + | 14.4929i | −0.368269 | + | 0.929719i | ||||
\(244\) | 44.7720i | 2.86624i | ||||||||
\(245\) | 2.32116 | 0.148294 | ||||||||
\(246\) | −9.87450 | + | 11.6346i | −0.629575 | + | 0.741797i | ||||
\(247\) | 2.94551i | 0.187419i | ||||||||
\(248\) | 14.9051i | 0.946472i | ||||||||
\(249\) | −12.0940 | + | 14.2498i | −0.766426 | + | 0.903042i | ||||
\(250\) | − | 25.1817i | − | 1.59263i | ||||||
\(251\) | 8.79157 | 0.554919 | 0.277459 | − | 0.960737i | \(-0.410508\pi\) | ||||
0.277459 | + | 0.960737i | \(0.410508\pi\) | |||||||
\(252\) | −10.4573 | + | 1.72303i | −0.658748 | + | 0.108541i | ||||
\(253\) | −12.0005 | − | 10.1408i | −0.754467 | − | 0.637546i | ||||
\(254\) | − | 25.3895i | − | 1.59308i | ||||||
\(255\) | 2.61106 | − | 3.07649i | 0.163511 | − | 0.192657i | ||||
\(256\) | −23.9951 | −1.49970 | ||||||||
\(257\) | 26.6743i | 1.66390i | 0.554852 | + | 0.831949i | \(0.312775\pi\) | ||||
−0.554852 | + | 0.831949i | \(0.687225\pi\) | |||||||
\(258\) | −14.4660 | + | 17.0446i | −0.900614 | + | 1.06115i | ||||
\(259\) | 8.32017 | 0.516990 | ||||||||
\(260\) | −6.28196 | −0.389591 | ||||||||
\(261\) | 0.376434 | − | 0.0620242i | 0.0233007 | − | 0.00383920i | ||||
\(262\) | −53.3491 | −3.29592 | ||||||||
\(263\) | 7.17412 | 0.442375 | 0.221188 | − | 0.975231i | \(-0.429007\pi\) | ||||
0.221188 | + | 0.975231i | \(0.429007\pi\) | |||||||
\(264\) | −15.5975 | − | 13.2378i | −0.959960 | − | 0.814733i | ||||
\(265\) | 15.3507 | 0.942986 | ||||||||
\(266\) | − | 9.04394i | − | 0.554519i | ||||||
\(267\) | 19.1726 | − | 22.5902i | 1.17335 | − | 1.38250i | ||||
\(268\) | − | 14.4750i | − | 0.884202i | ||||||
\(269\) | 4.03811i | 0.246208i | 0.992394 | + | 0.123104i | \(0.0392848\pi\) | ||||
−0.992394 | + | 0.123104i | \(0.960715\pi\) | |||||||
\(270\) | 14.5969 | − | 24.3266i | 0.888339 | − | 1.48047i | ||||
\(271\) | 7.05323 | 0.428453 | 0.214227 | − | 0.976784i | \(-0.431277\pi\) | ||||
0.214227 | + | 0.976784i | \(0.431277\pi\) | |||||||
\(272\) | −1.42011 | −0.0861069 | ||||||||
\(273\) | −1.01165 | − | 0.858604i | −0.0612279 | − | 0.0519651i | ||||
\(274\) | 43.7121i | 2.64075i | ||||||||
\(275\) | −1.27045 | −0.0766108 | ||||||||
\(276\) | −28.9447 | + | 4.83302i | −1.74226 | + | 0.290913i | ||||
\(277\) | 10.9219 | 0.656234 | 0.328117 | − | 0.944637i | \(-0.393586\pi\) | ||||
0.328117 | + | 0.944637i | \(0.393586\pi\) | |||||||
\(278\) | 46.4663i | 2.78686i | ||||||||
\(279\) | −2.01634 | − | 12.2374i | −0.120715 | − | 0.732636i | ||||
\(280\) | 8.36861 | 0.500120 | ||||||||
\(281\) | 18.6481 | 1.11245 | 0.556226 | − | 0.831031i | \(-0.312249\pi\) | ||||
0.556226 | + | 0.831031i | \(0.312249\pi\) | |||||||
\(282\) | −25.0113 | + | 29.4696i | −1.48940 | + | 1.75489i | ||||
\(283\) | − | 15.6604i | − | 0.930917i | −0.885070 | − | 0.465458i | \(-0.845889\pi\) | ||
0.885070 | − | 0.465458i | \(-0.154111\pi\) | |||||||
\(284\) | 9.85419i | 0.584738i | ||||||||
\(285\) | 11.7855 | + | 10.0025i | 0.698113 | + | 0.592499i | ||||
\(286\) | − | 5.90333i | − | 0.349071i | ||||||
\(287\) | 3.74563 | 0.221098 | ||||||||
\(288\) | 11.4927 | − | 1.89363i | 0.677216 | − | 0.111584i | ||||
\(289\) | −15.9926 | −0.940743 | ||||||||
\(290\) | −0.694322 | −0.0407720 | ||||||||
\(291\) | 5.50622 | + | 4.67321i | 0.322780 | + | 0.273949i | ||||
\(292\) | −3.93494 | −0.230275 | ||||||||
\(293\) | 15.4374 | 0.901865 | 0.450933 | − | 0.892558i | \(-0.351091\pi\) | ||||
0.450933 | + | 0.892558i | \(0.351091\pi\) | |||||||
\(294\) | 3.10619 | + | 2.63627i | 0.181156 | + | 0.153750i | ||||
\(295\) | − | 9.16663i | − | 0.533702i | ||||||
\(296\) | 29.9971 | 1.74355 | ||||||||
\(297\) | 14.5968 | + | 8.75860i | 0.846989 | + | 0.508226i | ||||
\(298\) | − | 47.4064i | − | 2.74618i | ||||||
\(299\) | −2.80623 | − | 2.37135i | −0.162289 | − | 0.137139i | ||||
\(300\) | −1.53546 | + | 1.80916i | −0.0886499 | + | 0.104452i | ||||
\(301\) | 5.48730 | 0.316283 | ||||||||
\(302\) | − | 41.1394i | − | 2.36730i | ||||||
\(303\) | 3.05246 | + | 2.59067i | 0.175359 | + | 0.148830i | ||||
\(304\) | − | 5.44022i | − | 0.312018i | ||||||
\(305\) | 29.4169i | 1.68441i | ||||||||
\(306\) | 6.98826 | − | 1.15144i | 0.399492 | − | 0.0658234i | ||||
\(307\) | 8.05965 | 0.459989 | 0.229994 | − | 0.973192i | \(-0.426129\pi\) | ||||
0.229994 | + | 0.973192i | \(0.426129\pi\) | |||||||
\(308\) | 11.5735i | 0.659464i | ||||||||
\(309\) | −4.49530 | − | 3.81523i | −0.255729 | − | 0.217041i | ||||
\(310\) | 22.5716i | 1.28198i | ||||||||
\(311\) | − | 5.39149i | − | 0.305723i | −0.988248 | − | 0.152862i | \(-0.951151\pi\) | ||
0.988248 | − | 0.152862i | \(-0.0488489\pi\) | |||||||
\(312\) | −3.64736 | − | 3.09557i | −0.206491 | − | 0.175252i | ||||
\(313\) | 0.965127i | 0.0545522i | 0.999628 | + | 0.0272761i | \(0.00868333\pi\) | ||||
−0.999628 | + | 0.0272761i | \(0.991317\pi\) | |||||||
\(314\) | −34.3879 | −1.94062 | ||||||||
\(315\) | −6.87085 | + | 1.13209i | −0.387128 | + | 0.0637863i | ||||
\(316\) | − | 42.2095i | − | 2.37447i | ||||||
\(317\) | 17.4142i | 0.978078i | 0.872262 | + | 0.489039i | \(0.162652\pi\) | ||||
−0.872262 | + | 0.489039i | \(0.837348\pi\) | |||||||
\(318\) | 20.5423 | + | 17.4346i | 1.15196 | + | 0.977684i | ||||
\(319\) | − | 0.416615i | − | 0.0233260i | ||||||
\(320\) | −27.7665 | −1.55220 | ||||||||
\(321\) | −9.24810 | + | 10.8966i | −0.516179 | + | 0.608188i | ||||
\(322\) | 8.61630 | + | 7.28101i | 0.480167 | + | 0.405755i | ||||
\(323\) | 3.85904i | 0.214723i | ||||||||
\(324\) | 30.1142 | − | 10.2006i | 1.67301 | − | 0.566702i | ||||
\(325\) | −0.297085 | −0.0164793 | ||||||||
\(326\) | − | 56.7514i | − | 3.14317i | ||||||
\(327\) | 15.7191 | + | 13.3411i | 0.869270 | + | 0.737763i | ||||
\(328\) | 13.5043 | 0.745652 | ||||||||
\(329\) | 9.48738 | 0.523056 | ||||||||
\(330\) | −23.6202 | − | 20.0469i | −1.30025 | − | 1.10354i | ||||
\(331\) | 7.31973 | 0.402329 | 0.201164 | − | 0.979557i | \(-0.435527\pi\) | ||||
0.201164 | + | 0.979557i | \(0.435527\pi\) | |||||||
\(332\) | 38.1212 | 2.09217 | ||||||||
\(333\) | −24.6284 | + | 4.05797i | −1.34963 | + | 0.222376i | ||||
\(334\) | −29.1932 | −1.59738 | ||||||||
\(335\) | − | 9.51063i | − | 0.519621i | ||||||
\(336\) | 1.86847 | + | 1.58580i | 0.101933 | + | 0.0865124i | ||||
\(337\) | − | 0.741689i | − | 0.0404024i | −0.999796 | − | 0.0202012i | \(-0.993569\pi\) | ||
0.999796 | − | 0.0202012i | \(-0.00643067\pi\) | |||||||
\(338\) | 29.1979i | 1.58816i | ||||||||
\(339\) | 10.9938 | − | 12.9534i | 0.597099 | − | 0.703532i | ||||
\(340\) | −8.23026 | −0.446349 | ||||||||
\(341\) | −13.5437 | −0.733432 | ||||||||
\(342\) | 4.41098 | + | 26.7709i | 0.238518 | + | 1.44760i | ||||
\(343\) | − | 1.00000i | − | 0.0539949i | ||||||
\(344\) | 19.7837 | 1.06666 | ||||||||
\(345\) | −19.0177 | + | 3.17548i | −1.02388 | + | 0.170962i | ||||
\(346\) | 17.3553 | 0.933028 | ||||||||
\(347\) | − | 19.6024i | − | 1.05231i | −0.850389 | − | 0.526155i | \(-0.823633\pi\) | ||
0.850389 | − | 0.526155i | \(-0.176367\pi\) | |||||||
\(348\) | −0.593274 | − | 0.503521i | −0.0318028 | − | 0.0269916i | ||||
\(349\) | −21.2917 | −1.13972 | −0.569860 | − | 0.821741i | \(-0.693003\pi\) | ||||
−0.569860 | + | 0.821741i | \(0.693003\pi\) | |||||||
\(350\) | 0.912172 | 0.0487577 | ||||||||
\(351\) | 3.41334 | + | 2.04813i | 0.182191 | + | 0.109321i | ||||
\(352\) | − | 12.7195i | − | 0.677952i | ||||||
\(353\) | − | 22.0203i | − | 1.17202i | −0.810302 | − | 0.586012i | \(-0.800697\pi\) | ||
0.810302 | − | 0.586012i | \(-0.199303\pi\) | |||||||
\(354\) | 10.4110 | − | 12.2668i | 0.553340 | − | 0.651974i | ||||
\(355\) | 6.47458i | 0.343635i | ||||||||
\(356\) | −60.4336 | −3.20297 | ||||||||
\(357\) | −1.32541 | − | 1.12489i | −0.0701480 | − | 0.0595357i | ||||
\(358\) | 48.9216 | 2.58559 | ||||||||
\(359\) | −0.352075 | −0.0185818 | −0.00929090 | − | 0.999957i | \(-0.502957\pi\) | ||||
−0.00929090 | + | 0.999957i | \(0.502957\pi\) | |||||||
\(360\) | −24.7718 | + | 4.08160i | −1.30559 | + | 0.215119i | ||||
\(361\) | 4.21665 | 0.221929 | ||||||||
\(362\) | −37.4767 | −1.96973 | ||||||||
\(363\) | −0.299775 | + | 0.353210i | −0.0157341 | + | 0.0185387i | ||||
\(364\) | 2.70639i | 0.141853i | ||||||||
\(365\) | −2.58541 | −0.135326 | ||||||||
\(366\) | −33.4104 | + | 39.3658i | −1.74639 | + | 2.05768i | ||||
\(367\) | − | 28.8036i | − | 1.50354i | −0.659427 | − | 0.751769i | \(-0.729201\pi\) | ||
0.659427 | − | 0.751769i | \(-0.270799\pi\) | |||||||
\(368\) | 5.18297 | + | 4.37976i | 0.270181 | + | 0.228311i | ||||
\(369\) | −11.0874 | + | 1.82685i | −0.577187 | + | 0.0951019i | ||||
\(370\) | 45.4265 | 2.36161 | ||||||||
\(371\) | − | 6.61336i | − | 0.343349i | ||||||
\(372\) | −16.3689 | + | 19.2867i | −0.848688 | + | 0.999968i | ||||
\(373\) | 18.4620i | 0.955924i | 0.878381 | + | 0.477962i | \(0.158624\pi\) | ||||
−0.878381 | + | 0.477962i | \(0.841376\pi\) | |||||||
\(374\) | − | 7.73420i | − | 0.399926i | ||||||
\(375\) | 11.9986 | − | 14.1374i | 0.619608 | − | 0.730053i | ||||
\(376\) | 34.2053 | 1.76401 | ||||||||
\(377\) | − | 0.0974223i | − | 0.00501751i | ||||||
\(378\) | −10.4804 | − | 6.28861i | −0.539052 | − | 0.323451i | ||||
\(379\) | − | 0.262031i | − | 0.0134596i | −0.999977 | − | 0.00672980i | \(-0.997858\pi\) | ||
0.999977 | − | 0.00672980i | \(-0.00214218\pi\) | |||||||
\(380\) | − | 31.5288i | − | 1.61739i | ||||||
\(381\) | 12.0977 | − | 14.2541i | 0.619782 | − | 0.730259i | ||||
\(382\) | 23.7779i | 1.21658i | ||||||||
\(383\) | −0.961680 | −0.0491396 | −0.0245698 | − | 0.999698i | \(-0.507822\pi\) | ||||
−0.0245698 | + | 0.999698i | \(0.507822\pi\) | |||||||
\(384\) | −26.9030 | − | 22.8330i | −1.37289 | − | 1.16519i | ||||
\(385\) | 7.60426i | 0.387549i | ||||||||
\(386\) | − | 45.8378i | − | 2.33308i | ||||||
\(387\) | −16.2429 | + | 2.67631i | −0.825673 | + | 0.136044i | ||||
\(388\) | − | 14.7303i | − | 0.747819i | ||||||
\(389\) | −10.9789 | −0.556651 | −0.278326 | − | 0.960487i | \(-0.589779\pi\) | ||||
−0.278326 | + | 0.960487i | \(0.589779\pi\) | |||||||
\(390\) | −5.52342 | − | 4.68781i | −0.279689 | − | 0.237376i | ||||
\(391\) | −3.67656 | − | 3.10680i | −0.185932 | − | 0.157118i | ||||
\(392\) | − | 3.60535i | − | 0.182098i | ||||||
\(393\) | −29.9511 | − | 25.4199i | −1.51083 | − | 1.28227i | ||||
\(394\) | 34.8592 | 1.75618 | ||||||||
\(395\) | − | 27.7332i | − | 1.39541i | ||||||
\(396\) | −5.64473 | − | 34.2587i | −0.283658 | − | 1.72156i | ||||
\(397\) | −8.73814 | −0.438555 | −0.219277 | − | 0.975663i | \(-0.570370\pi\) | ||||
−0.219277 | + | 0.975663i | \(0.570370\pi\) | |||||||
\(398\) | −34.9759 | −1.75318 | ||||||||
\(399\) | 4.30928 | − | 5.07741i | 0.215734 | − | 0.254189i | ||||
\(400\) | 0.548700 | 0.0274350 | ||||||||
\(401\) | −25.0351 | −1.25019 | −0.625096 | − | 0.780548i | \(-0.714940\pi\) | ||||
−0.625096 | + | 0.780548i | \(0.714940\pi\) | |||||||
\(402\) | 10.8017 | − | 12.7272i | 0.538741 | − | 0.634773i | ||||
\(403\) | −3.16709 | −0.157764 | ||||||||
\(404\) | − | 8.16598i | − | 0.406273i | ||||||
\(405\) | 19.7862 | − | 6.70220i | 0.983182 | − | 0.333035i | ||||
\(406\) | 0.299127i | 0.0148454i | ||||||||
\(407\) | 27.2573i | 1.35109i | ||||||||
\(408\) | −4.77856 | − | 4.05563i | −0.236574 | − | 0.200784i | ||||
\(409\) | −20.1381 | −0.995765 | −0.497883 | − | 0.867244i | \(-0.665889\pi\) | ||||
−0.497883 | + | 0.867244i | \(0.665889\pi\) | |||||||
\(410\) | 20.4504 | 1.00997 | ||||||||
\(411\) | −20.8281 | + | 24.5407i | −1.02737 | + | 1.21050i | ||||
\(412\) | 12.0259i | 0.592474i | ||||||||
\(413\) | −3.94915 | −0.194325 | ||||||||
\(414\) | −29.0561 | − | 17.3500i | −1.42803 | − | 0.852707i | ||||
\(415\) | 25.0471 | 1.22951 | ||||||||
\(416\) | − | 2.97436i | − | 0.145830i | ||||||
\(417\) | −22.1404 | + | 26.0869i | −1.08422 | + | 1.27748i | ||||
\(418\) | 29.6284 | 1.44917 | ||||||||
\(419\) | 4.76560 | 0.232815 | 0.116407 | − | 0.993202i | \(-0.462862\pi\) | ||||
0.116407 | + | 0.993202i | \(0.462862\pi\) | |||||||
\(420\) | 10.8287 | + | 9.19050i | 0.528387 | + | 0.448450i | ||||
\(421\) | − | 21.4790i | − | 1.04682i | −0.852081 | − | 0.523410i | \(-0.824660\pi\) | ||
0.852081 | − | 0.523410i | \(-0.175340\pi\) | |||||||
\(422\) | 38.0310i | 1.85132i | ||||||||
\(423\) | −28.0835 | + | 4.62725i | −1.36547 | + | 0.224985i | ||||
\(424\) | − | 23.8435i | − | 1.15794i | ||||||
\(425\) | −0.389223 | −0.0188801 | ||||||||
\(426\) | −7.35352 | + | 8.66429i | −0.356279 | + | 0.419786i | ||||
\(427\) | 12.6734 | 0.613307 | ||||||||
\(428\) | 29.1507 | 1.40905 | ||||||||
\(429\) | 2.81283 | − | 3.31422i | 0.135805 | − | 0.160012i | ||||
\(430\) | 29.9596 | 1.44478 | ||||||||
\(431\) | −20.8314 | −1.00341 | −0.501707 | − | 0.865038i | \(-0.667294\pi\) | ||||
−0.501707 | + | 0.865038i | \(0.667294\pi\) | |||||||
\(432\) | −6.30427 | − | 3.78280i | −0.303314 | − | 0.182000i | ||||
\(433\) | 30.1525i | 1.44904i | 0.689254 | + | 0.724520i | \(0.257938\pi\) | ||||
−0.689254 | + | 0.724520i | \(0.742062\pi\) | |||||||
\(434\) | 9.72427 | 0.466780 | ||||||||
\(435\) | −0.389804 | − | 0.330832i | −0.0186897 | − | 0.0158622i | ||||
\(436\) | − | 42.0521i | − | 2.01393i | ||||||
\(437\) | 11.9016 | − | 14.0843i | 0.569333 | − | 0.673744i | ||||
\(438\) | −3.45980 | − | 2.93638i | −0.165316 | − | 0.140306i | ||||
\(439\) | −20.0251 | −0.955745 | −0.477873 | − | 0.878429i | \(-0.658592\pi\) | ||||
−0.477873 | + | 0.878429i | \(0.658592\pi\) | |||||||
\(440\) | 27.4160i | 1.30701i | ||||||||
\(441\) | 0.487727 | + | 2.96009i | 0.0232251 | + | 0.140957i | ||||
\(442\) | − | 1.80858i | − | 0.0860256i | ||||||
\(443\) | 1.85078i | 0.0879333i | 0.999033 | + | 0.0439667i | \(0.0139995\pi\) | ||||
−0.999033 | + | 0.0439667i | \(0.986000\pi\) | |||||||
\(444\) | 38.8153 | + | 32.9432i | 1.84209 | + | 1.56341i | ||||
\(445\) | −39.7072 | −1.88230 | ||||||||
\(446\) | 17.0292i | 0.806357i | ||||||||
\(447\) | 22.5883 | − | 26.6147i | 1.06839 | − | 1.25883i | ||||
\(448\) | 11.9623i | 0.565167i | ||||||||
\(449\) | 35.0747i | 1.65528i | 0.561261 | + | 0.827639i | \(0.310316\pi\) | ||||
−0.561261 | + | 0.827639i | \(0.689684\pi\) | |||||||
\(450\) | −2.70011 | + | 0.444891i | −0.127284 | + | 0.0209724i | ||||
\(451\) | 12.2709i | 0.577814i | ||||||||
\(452\) | −34.6532 | −1.62995 | ||||||||
\(453\) | 19.6022 | − | 23.0963i | 0.920991 | − | 1.08516i | ||||
\(454\) | − | 55.8628i | − | 2.62177i | ||||||
\(455\) | 1.77820i | 0.0833632i | ||||||||
\(456\) | 15.5365 | − | 18.3059i | 0.727562 | − | 0.857251i | ||||
\(457\) | 25.3967i | 1.18801i | 0.804461 | + | 0.594005i | \(0.202454\pi\) | ||||
−0.804461 | + | 0.594005i | \(0.797546\pi\) | |||||||
\(458\) | 0.877236 | 0.0409905 | ||||||||
\(459\) | 4.47196 | + | 2.68335i | 0.208733 | + | 0.125248i | ||||
\(460\) | 30.0379 | + | 25.3829i | 1.40053 | + | 1.18348i | ||||
\(461\) | 1.87688i | 0.0874152i | 0.999044 | + | 0.0437076i | \(0.0139170\pi\) | ||||
−0.999044 | + | 0.0437076i | \(0.986083\pi\) | |||||||
\(462\) | −8.63656 | + | 10.1760i | −0.401809 | + | 0.473432i | ||||
\(463\) | −8.06674 | −0.374893 | −0.187447 | − | 0.982275i | \(-0.560021\pi\) | ||||
−0.187447 | + | 0.982275i | \(0.560021\pi\) | |||||||
\(464\) | 0.179934i | 0.00835324i | ||||||||
\(465\) | −10.7550 | + | 12.6721i | −0.498751 | + | 0.587654i | ||||
\(466\) | −34.8730 | −1.61546 | ||||||||
\(467\) | 0.441999 | 0.0204533 | 0.0102266 | − | 0.999948i | \(-0.496745\pi\) | ||||
0.0102266 | + | 0.999948i | \(0.496745\pi\) | |||||||
\(468\) | −1.31998 | − | 8.01114i | −0.0610160 | − | 0.370315i | ||||
\(469\) | −4.09736 | −0.189198 | ||||||||
\(470\) | 51.7992 | 2.38932 | ||||||||
\(471\) | −19.3059 | − | 16.3853i | −0.889571 | − | 0.754993i | ||||
\(472\) | −14.2381 | −0.655361 | ||||||||
\(473\) | 17.9767i | 0.826569i | ||||||||
\(474\) | 31.4981 | − | 37.1127i | 1.44676 | − | 1.70464i | ||||
\(475\) | − | 1.49105i | − | 0.0684140i | ||||||
\(476\) | 3.54575i | 0.162519i | ||||||||
\(477\) | 3.22552 | + | 19.5761i | 0.147686 | + | 0.896330i | ||||
\(478\) | −22.1263 | −1.01203 | ||||||||
\(479\) | −9.36305 | −0.427809 | −0.213904 | − | 0.976855i | \(-0.568618\pi\) | ||||
−0.213904 | + | 0.976855i | \(0.568618\pi\) | |||||||
\(480\) | −11.9009 | − | 10.1005i | −0.543201 | − | 0.461023i | ||||
\(481\) | 6.37392i | 0.290626i | ||||||||
\(482\) | 45.9640 | 2.09360 | ||||||||
\(483\) | 1.36805 | + | 8.19319i | 0.0622486 | + | 0.372803i | ||||
\(484\) | 0.944913 | 0.0429506 | ||||||||
\(485\) | − | 9.67838i | − | 0.439473i | ||||||
\(486\) | 34.0899 | + | 13.5033i | 1.54635 | + | 0.612522i | ||||
\(487\) | 33.8470 | 1.53376 | 0.766878 | − | 0.641793i | \(-0.221809\pi\) | ||||
0.766878 | + | 0.641793i | \(0.221809\pi\) | |||||||
\(488\) | 45.6919 | 2.06838 | ||||||||
\(489\) | 27.0411 | − | 31.8612i | 1.22284 | − | 1.44081i | ||||
\(490\) | − | 5.45980i | − | 0.246649i | ||||||
\(491\) | − | 24.1720i | − | 1.09087i | −0.838154 | − | 0.545433i | \(-0.816365\pi\) | ||
0.838154 | − | 0.545433i | \(-0.183635\pi\) | |||||||
\(492\) | 17.4742 | + | 14.8306i | 0.787797 | + | 0.668615i | ||||
\(493\) | − | 0.127637i | − | 0.00574849i | ||||||
\(494\) | 6.92839 | 0.311723 | ||||||||
\(495\) | −3.70880 | − | 22.5093i | −0.166698 | − | 1.01172i | ||||
\(496\) | 5.84946 | 0.262648 | ||||||||
\(497\) | 2.78937 | 0.125120 | ||||||||
\(498\) | 33.5181 | + | 28.4473i | 1.50198 | + | 1.27475i | ||||
\(499\) | −21.4157 | −0.958700 | −0.479350 | − | 0.877624i | \(-0.659128\pi\) | ||||
−0.479350 | + | 0.877624i | \(0.659128\pi\) | |||||||
\(500\) | −37.8207 | −1.69139 | ||||||||
\(501\) | −16.3895 | − | 13.9100i | −0.732229 | − | 0.621454i | ||||
\(502\) | − | 20.6794i | − | 0.922966i | ||||||
\(503\) | 13.6310 | 0.607774 | 0.303887 | − | 0.952708i | \(-0.401715\pi\) | ||||
0.303887 | + | 0.952708i | \(0.401715\pi\) | |||||||
\(504\) | 1.75843 | + | 10.6722i | 0.0783266 | + | 0.475376i | ||||
\(505\) | − | 5.36536i | − | 0.238756i | ||||||
\(506\) | −23.8530 | + | 28.2274i | −1.06039 | + | 1.25486i | ||||
\(507\) | −13.9123 | + | 16.3922i | −0.617868 | + | 0.728003i | ||||
\(508\) | −38.1328 | −1.69187 | ||||||||
\(509\) | 12.3478i | 0.547307i | 0.961828 | + | 0.273654i | \(0.0882322\pi\) | ||||
−0.961828 | + | 0.273654i | \(0.911768\pi\) | |||||||
\(510\) | −7.23646 | − | 6.14169i | −0.320436 | − | 0.271959i | ||||
\(511\) | 1.11384i | 0.0492734i | ||||||||
\(512\) | 15.6960i | 0.693672i | ||||||||
\(513\) | −10.2795 | + | 17.1314i | −0.453849 | + | 0.756368i | ||||
\(514\) | 62.7429 | 2.76747 | ||||||||
\(515\) | 7.90148i | 0.348181i | ||||||||
\(516\) | 25.5994 | + | 21.7266i | 1.12695 | + | 0.956462i | ||||
\(517\) | 31.0812i | 1.36695i | ||||||||
\(518\) | − | 19.5706i | − | 0.859881i | ||||||
\(519\) | 9.74357 | + | 8.26951i | 0.427695 | + | 0.362991i | ||||
\(520\) | 6.41103i | 0.281142i | ||||||||
\(521\) | 39.8081 | 1.74402 | 0.872012 | − | 0.489484i | \(-0.162815\pi\) | ||||
0.872012 | + | 0.489484i | \(0.162815\pi\) | |||||||
\(522\) | −0.145892 | − | 0.885442i | −0.00638553 | − | 0.0387547i | ||||
\(523\) | 10.2398i | 0.447756i | 0.974617 | + | 0.223878i | \(0.0718718\pi\) | ||||
−0.974617 | + | 0.223878i | \(0.928128\pi\) | |||||||
\(524\) | 80.1255i | 3.50030i | ||||||||
\(525\) | 0.512108 | + | 0.434634i | 0.0223502 | + | 0.0189690i | ||||
\(526\) | − | 16.8748i | − | 0.735778i | ||||||
\(527\) | −4.14934 | −0.180748 | ||||||||
\(528\) | −5.19516 | + | 6.12121i | −0.226090 | + | 0.266391i | ||||
\(529\) | 3.83668 | + | 22.6777i | 0.166812 | + | 0.985989i | ||||
\(530\) | − | 36.1077i | − | 1.56842i | ||||||
\(531\) | 11.6898 | − | 1.92611i | 0.507296 | − | 0.0835861i | ||||
\(532\) | −13.5832 | −0.588906 | ||||||||
\(533\) | 2.86946i | 0.124290i | ||||||||
\(534\) | −53.1363 | − | 45.0976i | −2.29943 | − | 1.95156i | ||||
\(535\) | 19.1531 | 0.828062 | ||||||||
\(536\) | −14.7724 | −0.638071 | ||||||||
\(537\) | 27.4654 | + | 23.3103i | 1.18522 | + | 1.00591i | ||||
\(538\) | 9.49837 | 0.409504 | ||||||||
\(539\) | 3.27605 | 0.141110 | ||||||||
\(540\) | −36.5364 | − | 21.9232i | −1.57228 | − | 0.943425i | ||||
\(541\) | −37.8124 | −1.62568 | −0.812842 | − | 0.582484i | \(-0.802081\pi\) | ||||
−0.812842 | + | 0.582484i | \(0.802081\pi\) | |||||||
\(542\) | − | 16.5905i | − | 0.712623i | ||||||
\(543\) | −21.0401 | − | 17.8570i | −0.902915 | − | 0.766318i | ||||
\(544\) | − | 3.89683i | − | 0.167075i | ||||||
\(545\) | − | 27.6298i | − | 1.18353i | ||||||
\(546\) | −2.01959 | + | 2.37959i | −0.0864307 | + | 0.101837i | ||||
\(547\) | −41.2938 | −1.76560 | −0.882798 | − | 0.469753i | \(-0.844343\pi\) | ||||
−0.882798 | + | 0.469753i | \(0.844343\pi\) | |||||||
\(548\) | 65.6517 | 2.80450 | ||||||||
\(549\) | −37.5143 | + | 6.18115i | −1.60107 | + | 0.263805i | ||||
\(550\) | 2.98832i | 0.127423i | ||||||||
\(551\) | 0.488957 | 0.0208303 | ||||||||
\(552\) | 4.93231 | + | 29.5393i | 0.209933 | + | 1.25728i | ||||
\(553\) | −11.9480 | −0.508080 | ||||||||
\(554\) | − | 25.6903i | − | 1.09148i | ||||||
\(555\) | 25.5032 | + | 21.6449i | 1.08255 | + | 0.918776i | ||||
\(556\) | 69.7882 | 2.95968 | ||||||||
\(557\) | 16.0587 | 0.680428 | 0.340214 | − | 0.940348i | \(-0.389500\pi\) | ||||
0.340214 | + | 0.940348i | \(0.389500\pi\) | |||||||
\(558\) | −28.7847 | + | 4.74280i | −1.21855 | + | 0.200779i | ||||
\(559\) | 4.20372i | 0.177798i | ||||||||
\(560\) | − | 3.28424i | − | 0.138785i | ||||||
\(561\) | 3.68521 | − | 4.34210i | 0.155590 | − | 0.183324i | ||||
\(562\) | − | 43.8638i | − | 1.85028i | ||||||
\(563\) | −29.6673 | −1.25033 | −0.625163 | − | 0.780494i | \(-0.714968\pi\) | ||||
−0.625163 | + | 0.780494i | \(0.714968\pi\) | |||||||
\(564\) | 44.2606 | + | 37.5647i | 1.86371 | + | 1.58176i | ||||
\(565\) | −22.7684 | −0.957876 | ||||||||
\(566\) | −36.8362 | −1.54834 | ||||||||
\(567\) | −2.88743 | − | 8.52424i | −0.121261 | − | 0.357985i | ||||
\(568\) | 10.0566 | 0.421968 | ||||||||
\(569\) | 34.6871 | 1.45416 | 0.727080 | − | 0.686553i | \(-0.240877\pi\) | ||||
0.727080 | + | 0.686553i | \(0.240877\pi\) | |||||||
\(570\) | 23.5278 | − | 27.7217i | 0.985472 | − | 1.16113i | ||||
\(571\) | − | 27.6815i | − | 1.15843i | −0.815173 | − | 0.579217i | \(-0.803358\pi\) | ||
0.815173 | − | 0.579217i | \(-0.196642\pi\) | |||||||
\(572\) | −8.86626 | −0.370717 | ||||||||
\(573\) | −11.3298 | + | 13.3493i | −0.473308 | + | 0.557676i | ||||
\(574\) | − | 8.81042i | − | 0.367740i | ||||||
\(575\) | 1.42054 | + | 1.20040i | 0.0592408 | + | 0.0500601i | ||||
\(576\) | −5.83436 | − | 35.4096i | −0.243098 | − | 1.47540i | ||||
\(577\) | −14.6019 | −0.607887 | −0.303943 | − | 0.952690i | \(-0.598303\pi\) | ||||
−0.303943 | + | 0.952690i | \(0.598303\pi\) | |||||||
\(578\) | 37.6176i | 1.56469i | ||||||||
\(579\) | 21.8409 | − | 25.7341i | 0.907678 | − | 1.06947i | ||||
\(580\) | 1.04281i | 0.0433003i | ||||||||
\(581\) | − | 10.7907i | − | 0.447676i | ||||||
\(582\) | 10.9923 | − | 12.9516i | 0.455644 | − | 0.536863i | ||||
\(583\) | 21.6657 | 0.897303 | ||||||||
\(584\) | 4.01579i | 0.166175i | ||||||||
\(585\) | −0.867276 | − | 5.26362i | −0.0358575 | − | 0.217624i | ||||
\(586\) | − | 36.3117i | − | 1.50002i | ||||||
\(587\) | − | 24.1786i | − | 0.997959i | −0.866614 | − | 0.498980i | \(-0.833708\pi\) | ||
0.866614 | − | 0.498980i | \(-0.166292\pi\) | |||||||
\(588\) | 3.95944 | − | 4.66521i | 0.163284 | − | 0.192390i | ||||
\(589\) | − | 15.8954i | − | 0.654960i | ||||||
\(590\) | −21.5616 | −0.887677 | ||||||||
\(591\) | 19.5705 | + | 16.6098i | 0.805025 | + | 0.683237i | ||||
\(592\) | − | 11.7723i | − | 0.483839i | ||||||
\(593\) | − | 11.7606i | − | 0.482950i | −0.970407 | − | 0.241475i | \(-0.922369\pi\) | ||
0.970407 | − | 0.241475i | \(-0.0776311\pi\) | |||||||
\(594\) | 20.6018 | − | 34.3342i | 0.845304 | − | 1.40875i | ||||
\(595\) | 2.32969i | 0.0955081i | ||||||||
\(596\) | −71.2001 | −2.91647 | ||||||||
\(597\) | −19.6360 | − | 16.6654i | −0.803649 | − | 0.682069i | ||||
\(598\) | −5.57784 | + | 6.60078i | −0.228095 | + | 0.269926i | ||||
\(599\) | − | 6.11753i | − | 0.249956i | −0.992160 | − | 0.124978i | \(-0.960114\pi\) | ||
0.992160 | − | 0.124978i | \(-0.0398860\pi\) | |||||||
\(600\) | 1.84633 | + | 1.56701i | 0.0753761 | + | 0.0639729i | ||||
\(601\) | −16.9148 | −0.689969 | −0.344985 | − | 0.938608i | \(-0.612116\pi\) | ||||
−0.344985 | + | 0.938608i | \(0.612116\pi\) | |||||||
\(602\) | − | 12.9071i | − | 0.526056i | ||||||
\(603\) | 12.1285 | − | 1.99839i | 0.493912 | − | 0.0813809i | ||||
\(604\) | −61.7876 | −2.51410 | ||||||||
\(605\) | 0.620844 | 0.0252409 | ||||||||
\(606\) | 6.09373 | − | 7.17994i | 0.247541 | − | 0.291665i | ||||
\(607\) | 29.5858 | 1.20085 | 0.600426 | − | 0.799680i | \(-0.294998\pi\) | ||||
0.600426 | + | 0.799680i | \(0.294998\pi\) | |||||||
\(608\) | 14.9281 | 0.605416 | ||||||||
\(609\) | −0.142529 | + | 0.167935i | −0.00577556 | + | 0.00680506i | ||||
\(610\) | 69.1940 | 2.80158 | ||||||||
\(611\) | 7.26810i | 0.294036i | ||||||||
\(612\) | −1.72936 | − | 10.4957i | −0.0699052 | − | 0.424265i | ||||
\(613\) | − | 6.33400i | − | 0.255828i | −0.991785 | − | 0.127914i | \(-0.959172\pi\) | ||
0.991785 | − | 0.127914i | \(-0.0408281\pi\) | |||||||
\(614\) | − | 18.9578i | − | 0.765074i | ||||||
\(615\) | 11.4812 | + | 9.74427i | 0.462967 | + | 0.392927i | ||||
\(616\) | 11.8113 | 0.475892 | ||||||||
\(617\) | −7.78616 | −0.313459 | −0.156730 | − | 0.987642i | \(-0.550095\pi\) | ||||
−0.156730 | + | 0.987642i | \(0.550095\pi\) | |||||||
\(618\) | −8.97413 | + | 10.5738i | −0.360992 | + | 0.425340i | ||||
\(619\) | 36.6343i | 1.47245i | 0.676734 | + | 0.736227i | \(0.263395\pi\) | ||||
−0.676734 | + | 0.736227i | \(0.736605\pi\) | |||||||
\(620\) | 33.9005 | 1.36148 | ||||||||
\(621\) | −8.04560 | − | 23.5853i | −0.322859 | − | 0.946447i | ||||
\(622\) | −12.6818 | −0.508493 | ||||||||
\(623\) | 17.1066i | 0.685361i | ||||||||
\(624\) | −1.21485 | + | 1.43140i | −0.0486329 | + | 0.0573018i | ||||
\(625\) | −26.7886 | −1.07154 | ||||||||
\(626\) | 2.27016 | 0.0907337 | ||||||||
\(627\) | 16.6339 | + | 14.1174i | 0.664293 | + | 0.563796i | ||||
\(628\) | 51.6476i | 2.06096i | ||||||||
\(629\) | 8.35074i | 0.332966i | ||||||||
\(630\) | 2.66290 | + | 16.1615i | 0.106092 | + | 0.643889i | ||||
\(631\) | 8.74385i | 0.348087i | 0.984738 | + | 0.174044i | \(0.0556834\pi\) | ||||
−0.984738 | + | 0.174044i | \(0.944317\pi\) | |||||||
\(632\) | −43.0767 | −1.71350 | ||||||||
\(633\) | −18.1211 | + | 21.3512i | −0.720249 | + | 0.848634i | ||||
\(634\) | 40.9614 | 1.62678 | ||||||||
\(635\) | −25.0547 | −0.994264 | ||||||||
\(636\) | 26.1852 | − | 30.8527i | 1.03831 | − | 1.22339i | ||||
\(637\) | 0.766081 | 0.0303532 | ||||||||
\(638\) | −0.979955 | −0.0387968 | ||||||||
\(639\) | −8.25677 | + | 1.36045i | −0.326633 | + | 0.0538186i | ||||
\(640\) | 47.2878i | 1.86922i | ||||||||
\(641\) | 21.4101 | 0.845647 | 0.422824 | − | 0.906212i | \(-0.361039\pi\) | ||||
0.422824 | + | 0.906212i | \(0.361039\pi\) | |||||||
\(642\) | 25.6308 | + | 21.7532i | 1.01157 | + | 0.858532i | ||||
\(643\) | − | 11.5802i | − | 0.456678i | −0.973582 | − | 0.228339i | \(-0.926671\pi\) | ||
0.973582 | − | 0.228339i | \(-0.0733294\pi\) | |||||||
\(644\) | 10.9354 | − | 12.9409i | 0.430916 | − | 0.509943i | ||||
\(645\) | 16.8198 | + | 14.2752i | 0.662279 | + | 0.562086i | ||||
\(646\) | 9.07717 | 0.357136 | ||||||||
\(647\) | − | 2.17115i | − | 0.0853567i | −0.999089 | − | 0.0426783i | \(-0.986411\pi\) | ||
0.999089 | − | 0.0426783i | \(-0.0135891\pi\) | |||||||
\(648\) | −10.4102 | − | 30.7329i | −0.408952 | − | 1.20730i | ||||
\(649\) | − | 12.9376i | − | 0.507847i | ||||||
\(650\) | 0.698798i | 0.0274091i | ||||||||
\(651\) | 5.45937 | + | 4.63345i | 0.213969 | + | 0.181599i | ||||
\(652\) | −85.2355 | −3.33808 | ||||||||
\(653\) | − | 19.2199i | − | 0.752131i | −0.926593 | − | 0.376066i | \(-0.877277\pi\) | ||
0.926593 | − | 0.376066i | \(-0.122723\pi\) | |||||||
\(654\) | 31.3807 | − | 36.9743i | 1.22708 | − | 1.44581i | ||||
\(655\) | 52.6455i | 2.05703i | ||||||||
\(656\) | − | 5.29975i | − | 0.206920i | ||||||
\(657\) | −0.543251 | − | 3.29707i | −0.0211942 | − | 0.128631i | ||||
\(658\) | − | 22.3161i | − | 0.869970i | ||||||
\(659\) | −18.2933 | −0.712605 | −0.356302 | − | 0.934371i | \(-0.615963\pi\) | ||||
−0.356302 | + | 0.934371i | \(0.615963\pi\) | |||||||
\(660\) | −30.1086 | + | 35.4755i | −1.17197 | + | 1.38088i | ||||
\(661\) | 44.6466i | 1.73655i | 0.496082 | + | 0.868275i | \(0.334771\pi\) | ||||
−0.496082 | + | 0.868275i | \(0.665229\pi\) | |||||||
\(662\) | − | 17.2174i | − | 0.669171i | ||||||
\(663\) | 0.861759 | − | 1.01537i | 0.0334679 | − | 0.0394336i | ||||
\(664\) | − | 38.9044i | − | 1.50979i | ||||||
\(665\) | −8.92467 | −0.346084 | ||||||||
\(666\) | 9.54510 | + | 57.9306i | 0.369865 | + | 2.24476i | ||||
\(667\) | −0.393645 | + | 0.465836i | −0.0152420 | + | 0.0180373i | ||||
\(668\) | 43.8455i | 1.69643i | ||||||||
\(669\) | −8.11413 | + | 9.56048i | −0.313710 | + | 0.369629i | ||||
\(670\) | −22.3708 | −0.864258 | ||||||||
\(671\) | 41.5186i | 1.60281i | ||||||||
\(672\) | −4.35148 | + | 5.12714i | −0.167862 | + | 0.197784i | ||||
\(673\) | −25.6694 | −0.989483 | −0.494742 | − | 0.869040i | \(-0.664737\pi\) | ||||
−0.494742 | + | 0.869040i | \(0.664737\pi\) | |||||||
\(674\) | −1.74459 | −0.0671990 | ||||||||
\(675\) | −1.72787 | − | 1.03679i | −0.0665057 | − | 0.0399059i | ||||
\(676\) | 43.8527 | 1.68664 | ||||||||
\(677\) | 0.371620 | 0.0142825 | 0.00714126 | − | 0.999975i | \(-0.497727\pi\) | ||||
0.00714126 | + | 0.999975i | \(0.497727\pi\) | |||||||
\(678\) | −30.4688 | − | 25.8593i | −1.17015 | − | 0.993122i | ||||
\(679\) | −4.16963 | −0.160016 | ||||||||
\(680\) | 8.39936i | 0.322101i | ||||||||
\(681\) | 26.6177 | − | 31.3623i | 1.01999 | − | 1.20181i | ||||
\(682\) | 31.8572i | 1.21988i | ||||||||
\(683\) | − | 20.9096i | − | 0.800085i | −0.916497 | − | 0.400043i | \(-0.868995\pi\) | ||
0.916497 | − | 0.400043i | \(-0.131005\pi\) | |||||||
\(684\) | 40.2074 | − | 6.62489i | 1.53737 | − | 0.253309i | ||||
\(685\) | 43.1357 | 1.64813 | ||||||||
\(686\) | −2.35218 | −0.0898068 | ||||||||
\(687\) | 0.492495 | + | 0.417988i | 0.0187898 | + | 0.0159472i | ||||
\(688\) | − | 7.76405i | − | 0.296002i | ||||||
\(689\) | 5.06637 | 0.193013 | ||||||||
\(690\) | 7.46930 | + | 44.7332i | 0.284351 | + | 1.70296i | ||||
\(691\) | −20.1908 | −0.768093 | −0.384046 | − | 0.923314i | \(-0.625470\pi\) | ||||
−0.384046 | + | 0.923314i | \(0.625470\pi\) | |||||||
\(692\) | − | 26.0661i | − | 0.990886i | ||||||
\(693\) | −9.69741 | + | 1.59782i | −0.368374 | + | 0.0606962i | ||||
\(694\) | −46.1083 | −1.75025 | ||||||||
\(695\) | 45.8535 | 1.73932 | ||||||||
\(696\) | −0.513866 | + | 0.605463i | −0.0194780 | + | 0.0229500i | ||||
\(697\) | 3.75940i | 0.142397i | ||||||||
\(698\) | 50.0821i | 1.89564i | ||||||||
\(699\) | −19.5782 | − | 16.6164i | −0.740517 | − | 0.628488i | ||||
\(700\) | − | 1.37000i | − | 0.0517811i | ||||||
\(701\) | −30.1302 | −1.13800 | −0.569002 | − | 0.822336i | \(-0.692670\pi\) | ||||
−0.569002 | + | 0.822336i | \(0.692670\pi\) | |||||||
\(702\) | 4.81759 | − | 8.02881i | 0.181828 | − | 0.303028i | ||||
\(703\) | −31.9903 | −1.20654 | ||||||||
\(704\) | −39.1893 | −1.47700 | ||||||||
\(705\) | 29.0809 | + | 24.6814i | 1.09525 | + | 0.929556i | ||||
\(706\) | −51.7959 | −1.94936 | ||||||||
\(707\) | −2.31150 | −0.0869328 | ||||||||
\(708\) | −18.4236 | − | 15.6364i | −0.692403 | − | 0.587653i | ||||
\(709\) | − | 3.99204i | − | 0.149924i | −0.997186 | − | 0.0749620i | \(-0.976116\pi\) | ||
0.997186 | − | 0.0749620i | \(-0.0238836\pi\) | |||||||
\(710\) | 15.2294 | 0.571549 | ||||||||
\(711\) | 35.3671 | − | 5.82736i | 1.32637 | − | 0.218543i | ||||
\(712\) | 61.6753i | 2.31138i | ||||||||
\(713\) | 15.1438 | + | 12.7969i | 0.567140 | + | 0.479249i | ||||
\(714\) | −2.64596 | + | 3.11760i | −0.0990224 | + | 0.116673i | ||||
\(715\) | −5.82547 | −0.217860 | ||||||||
\(716\) | − | 73.4759i | − | 2.74592i | ||||||
\(717\) | −12.4221 | − | 10.5428i | −0.463911 | − | 0.393728i | ||||
\(718\) | 0.828145i | 0.0309061i | ||||||||
\(719\) | − | 8.37285i | − | 0.312255i | −0.987737 | − | 0.156127i | \(-0.950099\pi\) | ||
0.987737 | − | 0.156127i | \(-0.0499010\pi\) | |||||||
\(720\) | 1.60182 | + | 9.72165i | 0.0596961 | + | 0.362305i | ||||
\(721\) | 3.40410 | 0.126775 | ||||||||
\(722\) | − | 9.91834i | − | 0.369122i | ||||||
\(723\) | 25.8049 | + | 21.9011i | 0.959696 | + | 0.814509i | ||||
\(724\) | 56.2867i | 2.09188i | ||||||||
\(725\) | 0.0493162i | 0.00183156i | ||||||||
\(726\) | 0.830815 | + | 0.705125i | 0.0308344 | + | 0.0261697i | ||||
\(727\) | − | 41.7377i | − | 1.54797i | −0.633206 | − | 0.773984i | \(-0.718261\pi\) | ||
0.633206 | − | 0.773984i | \(-0.281739\pi\) | |||||||
\(728\) | 2.76199 | 0.102366 | ||||||||
\(729\) | 12.7046 | + | 23.8242i | 0.470539 | + | 0.882379i | ||||
\(730\) | 6.08135i | 0.225081i | ||||||||
\(731\) | 5.50747i | 0.203701i | ||||||||
\(732\) | 59.1239 | + | 50.1794i | 2.18528 | + | 1.85468i | ||||
\(733\) | − | 14.0758i | − | 0.519900i | −0.965622 | − | 0.259950i | \(-0.916294\pi\) | ||
0.965622 | − | 0.259950i | \(-0.0837061\pi\) | |||||||
\(734\) | −67.7515 | −2.50075 | ||||||||
\(735\) | 2.60150 | − | 3.06522i | 0.0959578 | − | 0.113062i | ||||
\(736\) | −12.0182 | + | 14.2223i | −0.442997 | + | 0.524239i | ||||
\(737\) | − | 13.4232i | − | 0.494448i | ||||||
\(738\) | 4.29708 | + | 26.0796i | 0.158178 | + | 0.960004i | ||||
\(739\) | 4.14958 | 0.152645 | 0.0763225 | − | 0.997083i | \(-0.475682\pi\) | ||||
0.0763225 | + | 0.997083i | \(0.475682\pi\) | |||||||
\(740\) | − | 68.2264i | − | 2.50805i | ||||||
\(741\) | 3.88971 | + | 3.30126i | 0.142892 | + | 0.121275i | ||||
\(742\) | −15.5558 | −0.571073 | ||||||||
\(743\) | −41.3281 | −1.51618 | −0.758090 | − | 0.652150i | \(-0.773867\pi\) | ||||
−0.758090 | + | 0.652150i | \(0.773867\pi\) | |||||||
\(744\) | 19.6829 | + | 16.7052i | 0.721611 | + | 0.612443i | ||||
\(745\) | −46.7812 | −1.71393 | ||||||||
\(746\) | 43.4259 | 1.58994 | ||||||||
\(747\) | 5.26294 | + | 31.9416i | 0.192561 | + | 1.16868i | ||||
\(748\) | −11.6161 | −0.424725 | ||||||||
\(749\) | − | 8.25153i | − | 0.301504i | ||||||
\(750\) | −33.2538 | − | 28.2230i | −1.21426 | − | 1.03056i | ||||
\(751\) | 11.0978i | 0.404963i | 0.979286 | + | 0.202481i | \(0.0649006\pi\) | ||||
−0.979286 | + | 0.202481i | \(0.935099\pi\) | |||||||
\(752\) | − | 13.4238i | − | 0.489516i | ||||||
\(753\) | 9.85337 | − | 11.6097i | 0.359077 | − | 0.423083i | ||||
\(754\) | −0.229155 | −0.00834534 | ||||||||
\(755\) | −40.5968 | −1.47747 | ||||||||
\(756\) | −9.44493 | + | 15.7406i | −0.343509 | + | 0.572479i | ||||
\(757\) | − | 41.3684i | − | 1.50356i | −0.659413 | − | 0.751781i | \(-0.729195\pi\) | ||
0.659413 | − | 0.751781i | \(-0.270805\pi\) | |||||||
\(758\) | −0.616344 | −0.0223866 | ||||||||
\(759\) | −26.8413 | + | 4.48182i | −0.974279 | + | 0.162680i | ||||
\(760\) | −32.1766 | −1.16717 | ||||||||
\(761\) | 14.6649i | 0.531604i | 0.964028 | + | 0.265802i | \(0.0856367\pi\) | ||||
−0.964028 | + | 0.265802i | \(0.914363\pi\) | |||||||
\(762\) | −33.5282 | − | 28.4559i | −1.21460 | − | 1.03085i | ||||
\(763\) | −11.9034 | −0.430933 | ||||||||
\(764\) | 35.7123 | 1.29203 | ||||||||
\(765\) | −1.13625 | − | 6.89609i | −0.0410814 | − | 0.249329i | ||||
\(766\) | 2.26205i | 0.0817311i | ||||||||
\(767\) | − | 3.02537i | − | 0.109240i | ||||||
\(768\) | −26.8931 | + | 31.6869i | −0.970423 | + | 1.14340i | ||||
\(769\) | − | 0.965100i | − | 0.0348024i | −0.999849 | − | 0.0174012i | \(-0.994461\pi\) | ||
0.999849 | − | 0.0174012i | \(-0.00553925\pi\) | |||||||
\(770\) | 17.8866 | 0.644588 | ||||||||
\(771\) | 35.2249 | + | 29.8959i | 1.26859 | + | 1.07667i | ||||
\(772\) | −68.8443 | −2.47776 | ||||||||
\(773\) | 21.8868 | 0.787213 | 0.393607 | − | 0.919279i | \(-0.371227\pi\) | ||||
0.393607 | + | 0.919279i | \(0.371227\pi\) | |||||||
\(774\) | 6.29517 | + | 38.2063i | 0.226275 | + | 1.37330i | ||||
\(775\) | 1.60321 | 0.0575892 | ||||||||
\(776\) | −15.0330 | −0.539652 | ||||||||
\(777\) | 9.32503 | − | 10.9872i | 0.334534 | − | 0.394165i | ||||
\(778\) | 25.8243i | 0.925847i | ||||||||
\(779\) | −14.4016 | −0.515992 | ||||||||
\(780\) | −7.04067 | + | 8.29567i | −0.252096 | + | 0.297033i | ||||
\(781\) | 9.13812i | 0.326988i | ||||||||
\(782\) | −7.30776 | + | 8.64796i | −0.261325 | + | 0.309250i | ||||
\(783\) | 0.339991 | − | 0.566617i | 0.0121503 | − | 0.0202492i | ||||
\(784\) | −1.41491 | −0.0505326 | ||||||||
\(785\) | 33.9344i | 1.21117i | ||||||||
\(786\) | −59.7923 | + | 70.4504i | −2.13272 | + | 2.51288i | ||||
\(787\) | − | 31.4075i | − | 1.11956i | −0.828642 | − | 0.559778i | \(-0.810886\pi\) | ||
0.828642 | − | 0.559778i | \(-0.189114\pi\) | |||||||
\(788\) | − | 52.3554i | − | 1.86508i | ||||||
\(789\) | 8.04057 | − | 9.47382i | 0.286252 | − | 0.337277i | ||||
\(790\) | −65.2337 | −2.32091 | ||||||||
\(791\) | 9.80907i | 0.348770i | ||||||||
\(792\) | −34.9626 | + | 5.76071i | −1.24234 | + | 0.204698i | ||||
\(793\) | 9.70882i | 0.344770i | ||||||||
\(794\) | 20.5537i | 0.729424i | ||||||||
\(795\) | 17.2047 | − | 20.2714i | 0.610187 | − | 0.718954i | ||||
\(796\) | 52.5306i | 1.86190i | ||||||||
\(797\) | 10.1893 | 0.360923 | 0.180462 | − | 0.983582i | \(-0.442241\pi\) | ||||
0.180462 | + | 0.983582i | \(0.442241\pi\) | |||||||
\(798\) | −11.9430 | − | 10.1362i | −0.422778 | − | 0.358818i | ||||
\(799\) | 9.52224i | 0.336873i | ||||||||
\(800\) | 1.50565i | 0.0532328i | ||||||||
\(801\) | −8.34335 | − | 50.6370i | −0.294798 | − | 1.78917i | ||||
\(802\) | 58.8871i | 2.07938i | ||||||||
\(803\) | −3.64900 | −0.128771 | ||||||||
\(804\) | −19.1150 | − | 16.2232i | −0.674135 | − | 0.572149i | ||||
\(805\) | 7.18499 | − | 8.50266i | 0.253238 | − | 0.299680i | ||||
\(806\) | 7.44958i | 0.262400i | ||||||||
\(807\) | 5.33254 | + | 4.52581i | 0.187714 | + | 0.159316i | ||||
\(808\) | −8.33376 | −0.293181 | ||||||||
\(809\) | 12.6327i | 0.444140i | 0.975031 | + | 0.222070i | \(0.0712814\pi\) | ||||
−0.975031 | + | 0.222070i | \(0.928719\pi\) | |||||||
\(810\) | −15.7648 | − | 46.5407i | −0.553919 | − | 1.63527i | ||||
\(811\) | −7.42142 | −0.260601 | −0.130301 | − | 0.991475i | \(-0.541594\pi\) | ||||
−0.130301 | + | 0.991475i | \(0.541594\pi\) | |||||||
\(812\) | 0.449261 | 0.0157660 | ||||||||
\(813\) | 7.90509 | − | 9.31418i | 0.277244 | − | 0.326662i | ||||
\(814\) | 64.1142 | 2.24720 | ||||||||
\(815\) | −56.0030 | −1.96170 | ||||||||
\(816\) | −1.59163 | + | 1.87533i | −0.0557180 | + | 0.0656499i | ||||
\(817\) | −21.0982 | −0.738132 | ||||||||
\(818\) | 47.3685i | 1.65620i | ||||||||
\(819\) | −2.26767 | + | 0.373639i | −0.0792387 | + | 0.0130560i | ||||
\(820\) | − | 30.7147i | − | 1.07260i | ||||||
\(821\) | 14.3680i | 0.501447i | 0.968059 | + | 0.250723i | \(0.0806685\pi\) | ||||
−0.968059 | + | 0.250723i | \(0.919332\pi\) | |||||||
\(822\) | 57.7243 | + | 48.9915i | 2.01336 | + | 1.70877i | ||||
\(823\) | −19.4089 | −0.676551 | −0.338275 | − | 0.941047i | \(-0.609844\pi\) | ||||
−0.338275 | + | 0.941047i | \(0.609844\pi\) | |||||||
\(824\) | 12.2730 | 0.427550 | ||||||||
\(825\) | −1.42389 | + | 1.67769i | −0.0495733 | + | 0.0584098i | ||||
\(826\) | 9.28914i | 0.323210i | ||||||||
\(827\) | −39.6194 | −1.37770 | −0.688851 | − | 0.724903i | \(-0.741885\pi\) | ||||
−0.688851 | + | 0.724903i | \(0.741885\pi\) | |||||||
\(828\) | −26.0582 | + | 43.6397i | −0.905584 | + | 1.51658i | ||||
\(829\) | 43.8031 | 1.52135 | 0.760673 | − | 0.649135i | \(-0.224869\pi\) | ||||
0.760673 | + | 0.649135i | \(0.224869\pi\) | |||||||
\(830\) | − | 58.9153i | − | 2.04498i | ||||||
\(831\) | 12.2410 | − | 14.4230i | 0.424636 | − | 0.500327i | ||||
\(832\) | −9.16412 | −0.317709 | ||||||||
\(833\) | 1.00367 | 0.0347753 | ||||||||
\(834\) | 61.3613 | + | 52.0783i | 2.12477 | + | 1.80332i | ||||
\(835\) | 28.8082i | 0.996947i | ||||||||
\(836\) | − | 44.4992i | − | 1.53904i | ||||||
\(837\) | −18.4201 | − | 11.0527i | −0.636691 | − | 0.382038i | ||||
\(838\) | − | 11.2096i | − | 0.387228i | ||||||
\(839\) | 30.9005 | 1.06680 | 0.533402 | − | 0.845862i | \(-0.320913\pi\) | ||||
0.533402 | + | 0.845862i | \(0.320913\pi\) | |||||||
\(840\) | 9.37933 | − | 11.0512i | 0.323617 | − | 0.381303i | ||||
\(841\) | 28.9838 | 0.999442 | ||||||||
\(842\) | −50.5224 | −1.74112 | ||||||||
\(843\) | 20.9003 | − | 24.6258i | 0.719845 | − | 0.848159i | ||||
\(844\) | 57.1191 | 1.96612 | ||||||||
\(845\) | 28.8129 | 0.991193 | ||||||||
\(846\) | 10.8842 | + | 66.0575i | 0.374205 | + | 2.27110i | ||||
\(847\) | − | 0.267471i | − | 0.00919041i | ||||||
\(848\) | −9.35733 | −0.321332 | ||||||||
\(849\) | −20.6805 | − | 17.5518i | −0.709752 | − | 0.602377i | ||||
\(850\) | 0.915524i | 0.0314022i | ||||||||
\(851\) | 25.7545 | − | 30.4776i | 0.882851 | − | 1.04476i | ||||
\(852\) | 13.0130 | + | 11.0443i | 0.445818 | + | 0.378372i | ||||
\(853\) | 31.5467 | 1.08014 | 0.540069 | − | 0.841621i | \(-0.318398\pi\) | ||||
0.540069 | + | 0.841621i | \(0.318398\pi\) | |||||||
\(854\) | − | 29.8101i | − | 1.02008i | ||||||
\(855\) | 26.4178 | − | 4.35281i | 0.903470 | − | 0.148863i | ||||
\(856\) | − | 29.7497i | − | 1.01682i | ||||||
\(857\) | − | 6.90528i | − | 0.235880i | −0.993021 | − | 0.117940i | \(-0.962371\pi\) | ||
0.993021 | − | 0.117940i | \(-0.0376290\pi\) | |||||||
\(858\) | −7.79566 | − | 6.61630i | −0.266140 | − | 0.225877i | ||||
\(859\) | 28.9561 | 0.987969 | 0.493985 | − | 0.869471i | \(-0.335540\pi\) | ||||
0.493985 | + | 0.869471i | \(0.335540\pi\) | |||||||
\(860\) | − | 44.9966i | − | 1.53437i | ||||||
\(861\) | 4.19801 | − | 4.94631i | 0.143068 | − | 0.168570i | ||||
\(862\) | 48.9993i | 1.66892i | ||||||||
\(863\) | − | 58.5614i | − | 1.99345i | −0.0808526 | − | 0.996726i | \(-0.525764\pi\) | ||
0.0808526 | − | 0.996726i | \(-0.474236\pi\) | |||||||
\(864\) | 10.3801 | − | 17.2991i | 0.353139 | − | 0.588528i | ||||
\(865\) | − | 17.1264i | − | 0.582317i | ||||||
\(866\) | 70.9243 | 2.41011 | ||||||||
\(867\) | −17.9241 | + | 21.1191i | −0.608736 | + | 0.717244i | ||||
\(868\) | − | 14.6050i | − | 0.495725i | ||||||
\(869\) | − | 39.1423i | − | 1.32781i | ||||||
\(870\) | −0.778179 | + | 0.916890i | −0.0263827 | + | 0.0310855i | ||||
\(871\) | − | 3.13891i | − | 0.106358i | ||||||
\(872\) | −42.9161 | −1.45332 | ||||||||
\(873\) | 12.3425 | − | 2.03364i | 0.417729 | − | 0.0688283i | ||||
\(874\) | −33.1289 | − | 27.9948i | −1.12060 | − | 0.946940i | ||||
\(875\) | 10.7057i | 0.361918i | ||||||||
\(876\) | −4.41019 | + | 5.19631i | −0.149006 | + | 0.175567i | ||||
\(877\) | 36.9482 | 1.24765 | 0.623827 | − | 0.781563i | \(-0.285577\pi\) | ||||
0.623827 | + | 0.781563i | \(0.285577\pi\) | |||||||
\(878\) | 47.1027i | 1.58964i | ||||||||
\(879\) | 17.3019 | − | 20.3860i | 0.583579 | − | 0.687602i | ||||
\(880\) | 10.7594 | 0.362698 | ||||||||
\(881\) | 4.26098 | 0.143556 | 0.0717781 | − | 0.997421i | \(-0.477133\pi\) | ||||
0.0717781 | + | 0.997421i | \(0.477133\pi\) | |||||||
\(882\) | 6.96267 | − | 1.14722i | 0.234445 | − | 0.0386291i | ||||
\(883\) | 14.3118 | 0.481629 | 0.240815 | − | 0.970571i | \(-0.422585\pi\) | ||||
0.240815 | + | 0.970571i | \(0.422585\pi\) | |||||||
\(884\) | −2.71633 | −0.0913601 | ||||||||
\(885\) | −12.1050 | − | 10.2737i | −0.406906 | − | 0.345348i | ||||
\(886\) | 4.35338 | 0.146255 | ||||||||
\(887\) | − | 54.9604i | − | 1.84539i | −0.385529 | − | 0.922696i | \(-0.625981\pi\) | ||
0.385529 | − | 0.922696i | \(-0.374019\pi\) | |||||||
\(888\) | 33.6200 | − | 39.6128i | 1.12821 | − | 1.32932i | ||||
\(889\) | 10.7940i | 0.362020i | ||||||||
\(890\) | 93.3986i | 3.13073i | ||||||||
\(891\) | 27.9259 | − | 9.45938i | 0.935552 | − | 0.316901i | ||||
\(892\) | 25.5763 | 0.856359 | ||||||||
\(893\) | −36.4781 | −1.22069 | ||||||||
\(894\) | −62.6027 | − | 53.1319i | −2.09375 | − | 1.77700i | ||||
\(895\) | − | 48.2764i | − | 1.61370i | ||||||
\(896\) | 20.3725 | 0.680597 | ||||||||
\(897\) | −6.27665 | + | 1.04804i | −0.209571 | + | 0.0349930i | ||||
\(898\) | 82.5021 | 2.75313 | ||||||||
\(899\) | 0.525739i | 0.0175344i | ||||||||
\(900\) | 0.668187 | + | 4.05532i | 0.0222729 | + | 0.135177i | ||||
\(901\) | 6.63766 | 0.221133 | ||||||||
\(902\) | 28.8634 | 0.961046 | ||||||||
\(903\) | 6.15003 | − | 7.24628i | 0.204660 | − | 0.241141i | ||||
\(904\) | 35.3651i | 1.17623i | ||||||||
\(905\) | 36.9825i | 1.22934i | ||||||||
\(906\) | −54.3267 | − | 46.1080i | −1.80489 | − | 1.53183i | ||||
\(907\) | − | 37.0857i | − | 1.23141i | −0.787976 | − | 0.615706i | \(-0.788871\pi\) | ||
0.787976 | − | 0.615706i | \(-0.211129\pi\) | |||||||
\(908\) | −83.9009 | −2.78435 | ||||||||
\(909\) | 6.84224 | − | 1.12738i | 0.226943 | − | 0.0373929i | ||||
\(910\) | 4.18265 | 0.138653 | ||||||||
\(911\) | −28.1021 | −0.931065 | −0.465532 | − | 0.885031i | \(-0.654137\pi\) | ||||
−0.465532 | + | 0.885031i | \(0.654137\pi\) | |||||||
\(912\) | −7.18410 | − | 6.09726i | −0.237889 | − | 0.201900i | ||||
\(913\) | 35.3511 | 1.16995 | ||||||||
\(914\) | 59.7378 | 1.97595 | ||||||||
\(915\) | 38.8467 | + | 32.9698i | 1.28423 | + | 1.08995i | ||||
\(916\) | − | 1.31753i | − | 0.0435324i | ||||||
\(917\) | 22.6807 | 0.748982 | ||||||||
\(918\) | 6.31172 | − | 10.5189i | 0.208318 | − | 0.347175i | ||||
\(919\) | 3.96456i | 0.130779i | 0.997860 | + | 0.0653894i | \(0.0208290\pi\) | ||||
−0.997860 | + | 0.0653894i | \(0.979171\pi\) | |||||||
\(920\) | 25.9044 | − | 30.6551i | 0.854043 | − | 1.01067i | ||||
\(921\) | 9.03306 | − | 10.6432i | 0.297649 | − | 0.350706i | ||||
\(922\) | 4.41478 | 0.145393 | ||||||||
\(923\) | 2.13688i | 0.0703363i | ||||||||
\(924\) | 15.2835 | + | 12.9713i | 0.502790 | + | 0.426725i | ||||
\(925\) | − | 3.22654i | − | 0.106088i | ||||||
\(926\) | 18.9744i | 0.623539i | ||||||||
\(927\) | −10.0764 | + | 1.66027i | −0.330954 | + | 0.0545306i | ||||
\(928\) | −0.493745 | −0.0162080 | ||||||||
\(929\) | 19.0657i | 0.625524i | 0.949832 | + | 0.312762i | \(0.101254\pi\) | ||||
−0.949832 | + | 0.312762i | \(0.898746\pi\) | |||||||
\(930\) | 29.8071 | + | 25.2977i | 0.977412 | + | 0.829545i | ||||
\(931\) | 3.84491i | 0.126012i | ||||||||
\(932\) | 52.3760i | 1.71563i | ||||||||
\(933\) | −7.11976 | − | 6.04265i | −0.233090 | − | 0.197827i | ||||
\(934\) | − | 1.03966i | − | 0.0340188i | ||||||
\(935\) | −7.63220 | −0.249600 | ||||||||
\(936\) | −8.17574 | + | 1.34710i | −0.267232 | + | 0.0440313i | ||||
\(937\) | 40.6610i | 1.32834i | 0.747583 | + | 0.664169i | \(0.231214\pi\) | ||||
−0.747583 | + | 0.664169i | \(0.768786\pi\) | |||||||
\(938\) | 9.63773i | 0.314683i | ||||||||
\(939\) | 1.27450 | + | 1.08169i | 0.0415918 | + | 0.0352996i | ||||
\(940\) | − | 77.7977i | − | 2.53748i | ||||||
\(941\) | −43.8790 | −1.43041 | −0.715207 | − | 0.698913i | \(-0.753667\pi\) | ||||
−0.715207 | + | 0.698913i | \(0.753667\pi\) | |||||||
\(942\) | −38.5411 | + | 45.4111i | −1.25574 | + | 1.47957i | ||||
\(943\) | 11.5943 | − | 13.7207i | 0.377563 | − | 0.446806i | ||||
\(944\) | 5.58771i | 0.181864i | ||||||||
\(945\) | −6.20568 | + | 10.3422i | −0.201871 | + | 0.336430i | ||||
\(946\) | 42.2845 | 1.37479 | ||||||||
\(947\) | 26.8733i | 0.873263i | 0.899640 | + | 0.436632i | \(0.143829\pi\) | ||||
−0.899640 | + | 0.436632i | \(0.856171\pi\) | |||||||
\(948\) | −55.7399 | − | 47.3073i | −1.81035 | − | 1.53647i | ||||
\(949\) | −0.853293 | −0.0276990 | ||||||||
\(950\) | −3.50722 | −0.113789 | ||||||||
\(951\) | 22.9964 | + | 19.5174i | 0.745709 | + | 0.632895i | ||||
\(952\) | 3.61860 | 0.117279 | ||||||||
\(953\) | −10.7844 | −0.349340 | −0.174670 | − | 0.984627i | \(-0.555886\pi\) | ||||
−0.174670 | + | 0.984627i | \(0.555886\pi\) | |||||||
\(954\) | 46.0467 | − | 7.58701i | 1.49082 | − | 0.245639i | ||||
\(955\) | 23.4643 | 0.759288 | ||||||||
\(956\) | 33.2317i | 1.07479i | ||||||||
\(957\) | −0.550163 | − | 0.466932i | −0.0177842 | − | 0.0150938i | ||||
\(958\) | 22.0236i | 0.711551i | ||||||||
\(959\) | − | 18.5836i | − | 0.600097i | ||||||
\(960\) | −31.1200 | + | 36.6672i | −1.00439 | + | 1.18343i | ||||
\(961\) | −13.9088 | −0.448672 | ||||||||
\(962\) | 14.9926 | 0.483382 | ||||||||
\(963\) | 4.02450 | + | 24.4252i | 0.129688 | + | 0.787093i | ||||
\(964\) | − | 69.0338i | − | 2.22343i | ||||||
\(965\) | −45.2333 | −1.45611 | ||||||||
\(966\) | 19.2719 | − | 3.21791i | 0.620063 | − | 0.103535i | ||||
\(967\) | 0.647803 | 0.0208319 | 0.0104160 | − | 0.999946i | \(-0.496684\pi\) | ||||
0.0104160 | + | 0.999946i | \(0.496684\pi\) | |||||||
\(968\) | − | 0.964327i | − | 0.0309946i | ||||||
\(969\) | 5.09607 | + | 4.32511i | 0.163709 | + | 0.138943i | ||||
\(970\) | −22.7653 | −0.730951 | ||||||||
\(971\) | 52.4789 | 1.68413 | 0.842064 | − | 0.539377i | \(-0.181340\pi\) | ||||
0.842064 | + | 0.539377i | \(0.181340\pi\) | |||||||
\(972\) | 20.2807 | − | 51.2000i | 0.650505 | − | 1.64224i | ||||
\(973\) | − | 19.7545i | − | 0.633302i | ||||||
\(974\) | − | 79.6145i | − | 2.55101i | ||||||
\(975\) | −0.332965 | + | 0.392316i | −0.0106634 | + | 0.0125642i | ||||
\(976\) | − | 17.9317i | − | 0.573980i | ||||||
\(977\) | 36.7055 | 1.17431 | 0.587156 | − | 0.809474i | \(-0.300247\pi\) | ||||
0.587156 | + | 0.809474i | \(0.300247\pi\) | |||||||
\(978\) | −74.9433 | − | 63.6056i | −2.39642 | − | 2.03388i | ||||
\(979\) | −56.0421 | −1.79111 | ||||||||
\(980\) | −8.20013 | −0.261944 | ||||||||
\(981\) | 35.2352 | − | 5.80563i | 1.12497 | − | 0.185360i | ||||
\(982\) | −56.8569 | −1.81438 | ||||||||
\(983\) | 51.3552 | 1.63798 | 0.818989 | − | 0.573810i | \(-0.194535\pi\) | ||||
0.818989 | + | 0.573810i | \(0.194535\pi\) | |||||||
\(984\) | 15.1353 | − | 17.8332i | 0.482496 | − | 0.568502i | ||||
\(985\) | − | 34.3995i | − | 1.09606i | ||||||
\(986\) | −0.300226 | −0.00956114 | ||||||||
\(987\) | 10.6332 | − | 12.5286i | 0.338459 | − | 0.398790i | ||||
\(988\) | − | 10.4058i | − | 0.331053i | ||||||
\(989\) | 16.9855 | − | 20.1006i | 0.540109 | − | 0.639161i | ||||
\(990\) | −52.9459 | + | 8.72379i | −1.68273 | + | 0.277260i | ||||
\(991\) | 9.34773 | 0.296941 | 0.148470 | − | 0.988917i | \(-0.452565\pi\) | ||||
0.148470 | + | 0.988917i | \(0.452565\pi\) | |||||||
\(992\) | 16.0511i | 0.509623i | ||||||||
\(993\) | 8.20377 | − | 9.66610i | 0.260339 | − | 0.306745i | ||||
\(994\) | − | 6.56110i | − | 0.208106i | ||||||
\(995\) | 34.5146i | 1.09419i | ||||||||
\(996\) | 42.7253 | − | 50.3411i | 1.35380 | − | 1.59512i | ||||
\(997\) | 20.3833 | 0.645546 | 0.322773 | − | 0.946476i | \(-0.395385\pi\) | ||||
0.322773 | + | 0.946476i | \(0.395385\pi\) | |||||||
\(998\) | 50.3737i | 1.59455i | ||||||||
\(999\) | −22.2441 | + | 37.0712i | −0.703774 | + | 1.17288i |
(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 | 483.2.e.a.344.3 | ✓ | 48 | |
3.2 | odd | 2 | inner | 483.2.e.a.344.46 | yes | 48 | |
23.22 | odd | 2 | inner | 483.2.e.a.344.4 | yes | 48 | |
69.68 | even | 2 | inner | 483.2.e.a.344.45 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.e.a.344.3 | ✓ | 48 | 1.1 | even | 1 | trivial | |
483.2.e.a.344.4 | yes | 48 | 23.22 | odd | 2 | inner | |
483.2.e.a.344.45 | yes | 48 | 69.68 | even | 2 | inner | |
483.2.e.a.344.46 | yes | 48 | 3.2 | odd | 2 | inner |