Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [504,2,Mod(19,504)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(504, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("504.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 504 = 2^{3} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 504.bk (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.02446026187\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{6})\) |
Twist minimal: | no (minimal twist has level 168) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 19.11 | ||
Character | \(\chi\) | \(=\) | 504.19 |
Dual form | 504.2.bk.c.451.11 |
$q$-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 \(\left(\mathbb{Z}/504\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(127\) | \(253\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.725478 | + | 1.21395i | 0.512990 | + | 0.858394i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.947364 | + | 1.76139i | −0.473682 | + | 0.880696i | ||||
\(5\) | −1.14053 | + | 1.97545i | −0.510059 | + | 0.883448i | 0.489873 | + | 0.871794i | \(0.337043\pi\) |
−0.999932 | + | 0.0116545i | \(0.996290\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.95181 | − | 1.78618i | −0.737716 | − | 0.675111i | ||||
\(8\) | −2.82554 | + | 0.127796i | −0.998979 | + | 0.0451827i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −3.22553 | + | 0.0485996i | −1.02000 | + | 0.0153686i | ||||
\(11\) | 2.60093 | + | 4.50494i | 0.784209 | + | 1.35829i | 0.929471 | + | 0.368896i | \(0.120264\pi\) |
−0.145262 | + | 0.989393i | \(0.546403\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.44266 | −0.400123 | −0.200061 | − | 0.979783i | \(-0.564114\pi\) | ||||
−0.200061 | + | 0.979783i | \(0.564114\pi\) | |||||||
\(14\) | 0.752336 | − | 3.66524i | 0.201070 | − | 0.979577i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.20500 | − | 3.33736i | −0.551251 | − | 0.834339i | ||||
\(17\) | −1.71846 | + | 0.992153i | −0.416788 | + | 0.240632i | −0.693702 | − | 0.720262i | \(-0.744022\pi\) |
0.276914 | + | 0.960895i | \(0.410688\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −4.27974 | − | 2.47091i | −0.981839 | − | 0.566865i | −0.0790140 | − | 0.996874i | \(-0.525177\pi\) |
−0.902825 | + | 0.430009i | \(0.858511\pi\) | |||||||
\(20\) | −2.39905 | − | 3.88039i | −0.536444 | − | 0.867680i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −3.58187 | + | 6.42563i | −0.763656 | + | 1.36995i | ||||
\(23\) | −6.02437 | − | 3.47817i | −1.25617 | − | 0.725249i | −0.283841 | − | 0.958871i | \(-0.591609\pi\) |
−0.972328 | + | 0.233622i | \(0.924942\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.101603 | − | 0.175982i | −0.0203206 | − | 0.0351964i | ||||
\(26\) | −1.04662 | − | 1.75133i | −0.205259 | − | 0.343463i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 4.99523 | − | 1.74575i | 0.944010 | − | 0.329916i | ||||
\(29\) | 5.21252i | 0.967941i | 0.875084 | + | 0.483970i | \(0.160806\pi\) | ||||
−0.875084 | + | 0.483970i | \(0.839194\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.69622 | + | 2.93794i | 0.304650 | + | 0.527670i | 0.977183 | − | 0.212397i | \(-0.0681271\pi\) |
−0.672533 | + | 0.740067i | \(0.734794\pi\) | |||||||
\(32\) | 2.45171 | − | 5.09795i | 0.433406 | − | 0.901199i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.45113 | − | 1.36634i | −0.420366 | − | 0.234326i | ||||
\(35\) | 5.75460 | − | 1.81853i | 0.972705 | − | 0.307387i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.53971 | + | 1.46630i | 0.417525 | + | 0.241058i | 0.694018 | − | 0.719958i | \(-0.255839\pi\) |
−0.276493 | + | 0.961016i | \(0.589172\pi\) | |||||||
\(38\) | −0.105289 | − | 6.98799i | −0.0170802 | − | 1.13360i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 2.97015 | − | 5.72747i | 0.469622 | − | 0.905592i | ||||
\(41\) | 6.20691i | 0.969357i | 0.874692 | + | 0.484679i | \(0.161063\pi\) | ||||
−0.874692 | + | 0.484679i | \(0.838937\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 12.2362 | 1.86600 | 0.933000 | − | 0.359876i | \(-0.117181\pi\) | ||||
0.933000 | + | 0.359876i | \(0.117181\pi\) | |||||||
\(44\) | −10.3990 | + | 0.313438i | −1.56771 | + | 0.0472525i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.148210 | − | 9.83665i | −0.0218524 | − | 1.45033i | ||||
\(47\) | 1.25342 | − | 2.17098i | 0.182830 | − | 0.316670i | −0.760013 | − | 0.649907i | \(-0.774808\pi\) |
0.942843 | + | 0.333237i | \(0.108141\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.619151 | + | 6.97256i | 0.0884501 | + | 0.996081i | ||||
\(50\) | 0.139923 | − | 0.251012i | 0.0197881 | − | 0.0354985i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.36673 | − | 2.54110i | 0.189531 | − | 0.352387i | ||||
\(53\) | −3.15993 | + | 1.82438i | −0.434049 | + | 0.250598i | −0.701070 | − | 0.713092i | \(-0.747294\pi\) |
0.267021 | + | 0.963691i | \(0.413961\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −11.8657 | −1.59997 | ||||||||
\(56\) | 5.74319 | + | 4.79748i | 0.767466 | + | 0.641090i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −6.32775 | + | 3.78157i | −0.830875 | + | 0.496544i | ||||
\(59\) | 8.59616 | − | 4.96300i | 1.11912 | − | 0.646127i | 0.177947 | − | 0.984040i | \(-0.443054\pi\) |
0.941177 | + | 0.337913i | \(0.109721\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.57405 | + | 6.19044i | −0.457611 | + | 0.792605i | −0.998834 | − | 0.0482738i | \(-0.984628\pi\) |
0.541223 | + | 0.840879i | \(0.317961\pi\) | |||||||
\(62\) | −2.33595 | + | 4.19054i | −0.296666 | + | 0.532200i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 7.96734 | − | 0.722185i | 0.995917 | − | 0.0902731i | ||||
\(65\) | 1.64540 | − | 2.84991i | 0.204086 | − | 0.353488i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.73520 | + | 4.73750i | 0.334158 | + | 0.578778i | 0.983323 | − | 0.181870i | \(-0.0582149\pi\) |
−0.649165 | + | 0.760648i | \(0.724882\pi\) | |||||||
\(68\) | −0.119564 | − | 3.96681i | −0.0144993 | − | 0.481046i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 6.38244 | + | 5.66651i | 0.762848 | + | 0.677277i | ||||
\(71\) | 12.6367i | 1.49970i | 0.661606 | + | 0.749852i | \(0.269875\pi\) | ||||
−0.661606 | + | 0.749852i | \(0.730125\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −9.13118 | + | 5.27189i | −1.06872 | + | 0.617028i | −0.927832 | − | 0.372997i | \(-0.878330\pi\) |
−0.140891 | + | 0.990025i | \(0.544997\pi\) | |||||||
\(74\) | 0.0624814 | + | 4.14685i | 0.00726331 | + | 0.482062i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 8.40670 | − | 5.19745i | 0.964315 | − | 0.596188i | ||||
\(77\) | 2.97009 | − | 13.4385i | 0.338473 | − | 1.53146i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 4.38431 | + | 2.53128i | 0.493274 | + | 0.284792i | 0.725932 | − | 0.687767i | \(-0.241409\pi\) |
−0.232658 | + | 0.972559i | \(0.574742\pi\) | |||||||
\(80\) | 9.10765 | − | 0.549530i | 1.01827 | − | 0.0614393i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −7.53490 | + | 4.50298i | −0.832091 | + | 0.497271i | ||||
\(83\) | 0.265100i | 0.0290986i | 0.999894 | + | 0.0145493i | \(0.00463134\pi\) | ||||
−0.999894 | + | 0.0145493i | \(0.995369\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | − | 4.52631i | − | 0.490947i | ||||||
\(86\) | 8.87708 | + | 14.8542i | 0.957240 | + | 1.60176i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −7.92473 | − | 12.3965i | −0.844779 | − | 1.32147i | ||||
\(89\) | −8.23469 | − | 4.75430i | −0.872875 | − | 0.503955i | −0.00457273 | − | 0.999990i | \(-0.501456\pi\) |
−0.868303 | + | 0.496035i | \(0.834789\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.81581 | + | 2.57685i | 0.295177 | + | 0.270127i | ||||
\(92\) | 11.8337 | − | 7.31619i | 1.23375 | − | 0.762765i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 3.54480 | − | 0.0534101i | 0.365618 | − | 0.00550883i | ||||
\(95\) | 9.76231 | − | 5.63627i | 1.00159 | − | 0.578269i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 10.7267i | − | 1.08914i | −0.838717 | − | 0.544568i | \(-0.816694\pi\) | ||
0.838717 | − | 0.544568i | \(-0.183306\pi\) | |||||||
\(98\) | −8.01519 | + | 5.81006i | −0.809656 | + | 0.586905i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.406228 | − | 0.0122442i | 0.0406228 | − | 0.00122442i | ||||
\(101\) | 6.31858 | + | 10.9441i | 0.628722 | + | 1.08898i | 0.987808 | + | 0.155675i | \(0.0497551\pi\) |
−0.359086 | + | 0.933304i | \(0.616912\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 9.86612 | − | 17.0886i | 0.972138 | − | 1.68379i | 0.283065 | − | 0.959101i | \(-0.408649\pi\) |
0.689073 | − | 0.724692i | \(-0.258018\pi\) | |||||||
\(104\) | 4.07630 | − | 0.184367i | 0.399714 | − | 0.0180786i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −4.50717 | − | 2.51245i | −0.437775 | − | 0.244031i | ||||
\(107\) | −3.61692 | + | 6.26468i | −0.349661 | + | 0.605630i | −0.986189 | − | 0.165623i | \(-0.947036\pi\) |
0.636529 | + | 0.771253i | \(0.280370\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 5.24653 | − | 3.02908i | 0.502526 | − | 0.290134i | −0.227230 | − | 0.973841i | \(-0.572967\pi\) |
0.729756 | + | 0.683707i | \(0.239634\pi\) | |||||||
\(110\) | −8.60831 | − | 14.4044i | −0.820770 | − | 1.37341i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −1.65735 | + | 10.4524i | −0.156605 | + | 0.987661i | ||||
\(113\) | 1.46831 | 0.138127 | 0.0690633 | − | 0.997612i | \(-0.477999\pi\) | ||||
0.0690633 | + | 0.997612i | \(0.477999\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 13.7419 | − | 7.93390i | 1.28144 | − | 0.739840i | ||||
\(116\) | −9.18129 | − | 4.93815i | −0.852462 | − | 0.458496i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 12.2612 | + | 6.83479i | 1.12873 | + | 0.629194i | ||||
\(119\) | 5.12627 | + | 1.13297i | 0.469925 | + | 0.103860i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −8.02963 | + | 13.9077i | −0.729966 | + | 1.26434i | ||||
\(122\) | −10.1078 | + | 0.152296i | −0.915118 | + | 0.0137882i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −6.78181 | + | 0.204412i | −0.609024 | + | 0.0183567i | ||||
\(125\) | −10.9417 | −0.978659 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 6.55533i | 0.581691i | 0.956770 | + | 0.290846i | \(0.0939366\pi\) | ||||
−0.956770 | + | 0.290846i | \(0.906063\pi\) | |||||||
\(128\) | 6.65682 | + | 9.14804i | 0.588386 | + | 0.808580i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 4.65336 | − | 0.0701129i | 0.408126 | − | 0.00614931i | ||||
\(131\) | −9.22508 | − | 5.32610i | −0.805999 | − | 0.465344i | 0.0395654 | − | 0.999217i | \(-0.487403\pi\) |
−0.845565 | + | 0.533873i | \(0.820736\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 3.93977 | + | 12.4671i | 0.341622 | + | 1.08104i | ||||
\(134\) | −3.76678 | + | 6.75735i | −0.325400 | + | 0.583746i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 4.72878 | − | 3.02298i | 0.405490 | − | 0.259218i | ||||
\(137\) | 2.65614 | + | 4.60057i | 0.226929 | + | 0.393053i | 0.956897 | − | 0.290429i | \(-0.0937980\pi\) |
−0.729967 | + | 0.683482i | \(0.760465\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | − | 7.08794i | − | 0.601191i | −0.953752 | − | 0.300596i | \(-0.902815\pi\) | ||
0.953752 | − | 0.300596i | \(-0.0971854\pi\) | |||||||
\(140\) | −2.24855 | + | 11.8589i | −0.190038 | + | 1.00226i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −15.3404 | + | 9.16767i | −1.28734 | + | 0.769334i | ||||
\(143\) | −3.75226 | − | 6.49911i | −0.313780 | − | 0.543483i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −10.2971 | − | 5.94502i | −0.855126 | − | 0.493707i | ||||
\(146\) | −13.0243 | − | 7.26018i | −1.07790 | − | 0.600857i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −4.98876 | + | 3.08430i | −0.410073 | + | 0.253528i | ||||
\(149\) | 7.19693 | + | 4.15515i | 0.589596 | + | 0.340403i | 0.764938 | − | 0.644104i | \(-0.222770\pi\) |
−0.175342 | + | 0.984508i | \(0.556103\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 11.6286 | − | 6.71378i | 0.946323 | − | 0.546360i | 0.0543864 | − | 0.998520i | \(-0.482680\pi\) |
0.891937 | + | 0.452160i | \(0.149346\pi\) | |||||||
\(152\) | 12.4083 | + | 6.43471i | 1.00645 | + | 0.521924i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 18.4684 | − | 6.14379i | 1.48823 | − | 0.495081i | ||||
\(155\) | −7.73834 | −0.621559 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 8.55081 | + | 14.8104i | 0.682429 | + | 1.18200i | 0.974237 | + | 0.225525i | \(0.0724098\pi\) |
−0.291808 | + | 0.956477i | \(0.594257\pi\) | |||||||
\(158\) | 0.107862 | + | 7.15874i | 0.00858103 | + | 0.569519i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 7.27450 | + | 10.6576i | 0.575100 | + | 0.842556i | ||||
\(161\) | 5.54582 | + | 17.5493i | 0.437072 | + | 1.38308i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −0.807425 | + | 1.39850i | −0.0632424 | + | 0.109539i | −0.895913 | − | 0.444230i | \(-0.853477\pi\) |
0.832671 | + | 0.553769i | \(0.186811\pi\) | |||||||
\(164\) | −10.9328 | − | 5.88020i | −0.853709 | − | 0.459167i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.321819 | + | 0.192324i | −0.0249780 | + | 0.0149273i | ||||
\(167\) | −4.11126 | −0.318139 | −0.159069 | − | 0.987267i | \(-0.550849\pi\) | ||||
−0.159069 | + | 0.987267i | \(0.550849\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −10.9187 | −0.839902 | ||||||||
\(170\) | 5.49473 | − | 3.28374i | 0.421426 | − | 0.251851i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −11.5921 | + | 21.5527i | −0.883891 | + | 1.64338i | ||||
\(173\) | 8.16562 | − | 14.1433i | 0.620821 | − | 1.07529i | −0.368512 | − | 0.929623i | \(-0.620133\pi\) |
0.989333 | − | 0.145670i | \(-0.0465339\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.116024 | + | 0.524965i | −0.00877060 | + | 0.0396836i | ||||
\(176\) | 9.29953 | − | 18.6136i | 0.700978 | − | 1.40305i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −0.202588 | − | 13.4457i | −0.0151846 | − | 1.00780i | ||||
\(179\) | −3.19876 | − | 5.54042i | −0.239087 | − | 0.414110i | 0.721366 | − | 0.692554i | \(-0.243515\pi\) |
−0.960452 | + | 0.278444i | \(0.910181\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 4.79758 | 0.356601 | 0.178301 | − | 0.983976i | \(-0.442940\pi\) | ||||
0.178301 | + | 0.983976i | \(0.442940\pi\) | |||||||
\(182\) | −1.08537 | + | 5.28771i | −0.0804528 | + | 0.391951i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 17.4666 | + | 9.05782i | 1.28765 | + | 0.667752i | ||||
\(185\) | −5.79321 | + | 3.34471i | −0.425925 | + | 0.245908i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −8.93917 | − | 5.16103i | −0.653697 | − | 0.377412i | ||||
\(188\) | 2.63651 | + | 4.26447i | 0.192287 | + | 0.311018i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 13.9245 | + | 7.76199i | 1.01019 | + | 0.563114i | ||||
\(191\) | −11.1694 | − | 6.44863i | −0.808186 | − | 0.466607i | 0.0381392 | − | 0.999272i | \(-0.487857\pi\) |
−0.846326 | + | 0.532666i | \(0.821190\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −3.67943 | − | 6.37295i | −0.264851 | − | 0.458735i | 0.702674 | − | 0.711512i | \(-0.251989\pi\) |
−0.967525 | + | 0.252777i | \(0.918656\pi\) | |||||||
\(194\) | 13.0218 | − | 7.78201i | 0.934908 | − | 0.558716i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −12.8680 | − | 5.51499i | −0.919141 | − | 0.393928i | ||||
\(197\) | 3.22473i | 0.229753i | 0.993380 | + | 0.114876i | \(0.0366472\pi\) | ||||
−0.993380 | + | 0.114876i | \(0.963353\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −8.05878 | − | 13.9582i | −0.571272 | − | 0.989471i | −0.996436 | − | 0.0843551i | \(-0.973117\pi\) |
0.425164 | − | 0.905116i | \(-0.360216\pi\) | |||||||
\(200\) | 0.309573 | + | 0.484259i | 0.0218901 | + | 0.0342423i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −8.70164 | + | 15.6102i | −0.612245 | + | 1.09833i | ||||
\(203\) | 9.31048 | − | 10.1739i | 0.653468 | − | 0.714065i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −12.2615 | − | 7.07915i | −0.856377 | − | 0.494429i | ||||
\(206\) | 27.9024 | − | 0.420411i | 1.94406 | − | 0.0292914i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 3.18108 | + | 4.81468i | 0.220568 | + | 0.333838i | ||||
\(209\) | − | 25.7066i | − | 1.77816i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.31181 | 0.0903089 | 0.0451544 | − | 0.998980i | \(-0.485622\pi\) | ||||
0.0451544 | + | 0.998980i | \(0.485622\pi\) | |||||||
\(212\) | −0.219857 | − | 7.29423i | −0.0150998 | − | 0.500969i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −10.2290 | + | 0.154122i | −0.699242 | + | 0.0105356i | ||||
\(215\) | −13.9557 | + | 24.1720i | −0.951771 | + | 1.64852i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.93697 | − | 8.76406i | 0.131490 | − | 0.594943i | ||||
\(218\) | 7.48341 | + | 4.17151i | 0.506840 | + | 0.282530i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 11.2411 | − | 20.9002i | 0.757877 | − | 1.40909i | ||||
\(221\) | 2.47916 | − | 1.43134i | 0.166766 | − | 0.0962826i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −20.4329 | −1.36829 | −0.684143 | − | 0.729348i | \(-0.739824\pi\) | ||||
−0.684143 | + | 0.729348i | \(0.739824\pi\) | |||||||
\(224\) | −13.8911 | + | 5.57106i | −0.928140 | + | 0.372232i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 1.06522 | + | 1.78246i | 0.0708577 | + | 0.118567i | ||||
\(227\) | −18.5734 | + | 10.7233i | −1.23276 | + | 0.711733i | −0.967604 | − | 0.252473i | \(-0.918756\pi\) |
−0.265154 | + | 0.964206i | \(0.585423\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −8.24413 | + | 14.2792i | −0.544787 | + | 0.943599i | 0.453833 | + | 0.891087i | \(0.350056\pi\) |
−0.998620 | + | 0.0525125i | \(0.983277\pi\) | |||||||
\(230\) | 19.6008 | + | 10.9262i | 1.29244 | + | 0.720451i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.666139 | − | 14.7282i | −0.0437342 | − | 0.966952i | ||||
\(233\) | 6.14007 | − | 10.6349i | 0.402249 | − | 0.696716i | −0.591748 | − | 0.806123i | \(-0.701562\pi\) |
0.993997 | + | 0.109407i | \(0.0348952\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2.85911 | + | 4.95213i | 0.186508 | + | 0.323041i | ||||
\(236\) | 0.598091 | + | 19.8430i | 0.0389324 | + | 1.29167i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 2.34362 | + | 7.04500i | 0.151914 | + | 0.456660i | ||||
\(239\) | − | 16.7654i | − | 1.08447i | −0.840228 | − | 0.542233i | \(-0.817579\pi\) | ||
0.840228 | − | 0.542233i | \(-0.182421\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 17.7711 | − | 10.2601i | 1.14474 | − | 0.660914i | 0.197138 | − | 0.980376i | \(-0.436835\pi\) |
0.947599 | + | 0.319462i | \(0.103502\pi\) | |||||||
\(242\) | −22.7086 | + | 0.342155i | −1.45977 | + | 0.0219946i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −7.51787 | − | 12.1599i | −0.481282 | − | 0.778459i | ||||
\(245\) | −14.4801 | − | 6.72930i | −0.925101 | − | 0.429919i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 6.17422 | + | 3.56469i | 0.392856 | + | 0.226816i | ||||
\(248\) | −5.16820 | − | 8.08450i | −0.328181 | − | 0.513366i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −7.93799 | − | 13.2828i | −0.502043 | − | 0.840076i | ||||
\(251\) | − | 3.32849i | − | 0.210092i | −0.994467 | − | 0.105046i | \(-0.966501\pi\) | ||
0.994467 | − | 0.105046i | \(-0.0334990\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − | 36.1859i | − | 2.27499i | ||||||
\(254\) | −7.95786 | + | 4.75574i | −0.499320 | + | 0.298402i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −6.27591 | + | 14.7178i | −0.392245 | + | 0.919861i | ||||
\(257\) | −3.19537 | − | 1.84485i | −0.199322 | − | 0.115078i | 0.397017 | − | 0.917811i | \(-0.370045\pi\) |
−0.596339 | + | 0.802733i | \(0.703379\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −2.33796 | − | 7.39831i | −0.145274 | − | 0.459709i | ||||
\(260\) | 3.46102 | + | 5.59809i | 0.214643 | + | 0.347179i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −0.226954 | − | 15.0628i | −0.0140212 | − | 0.930582i | ||||
\(263\) | 23.6724 | − | 13.6673i | 1.45970 | − | 0.842759i | 0.460705 | − | 0.887553i | \(-0.347597\pi\) |
0.998996 | + | 0.0447943i | \(0.0142633\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | − | 8.32304i | − | 0.511280i | ||||||
\(266\) | −12.2763 | + | 13.8273i | −0.752706 | + | 0.847807i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −10.9358 | + | 0.329619i | −0.668012 | + | 0.0201347i | ||||
\(269\) | 3.25085 | + | 5.63064i | 0.198208 | + | 0.343306i | 0.947947 | − | 0.318427i | \(-0.103155\pi\) |
−0.749740 | + | 0.661733i | \(0.769821\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0.880710 | − | 1.52543i | 0.0534993 | − | 0.0926636i | −0.838035 | − | 0.545616i | \(-0.816296\pi\) |
0.891535 | + | 0.452952i | \(0.149629\pi\) | |||||||
\(272\) | 7.10038 | + | 3.54741i | 0.430524 | + | 0.215094i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −3.65790 | + | 6.56204i | −0.220982 | + | 0.396427i | ||||
\(275\) | 0.528525 | − | 0.915431i | 0.0318712 | − | 0.0552026i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 6.52030 | − | 3.76450i | 0.391767 | − | 0.226187i | −0.291159 | − | 0.956675i | \(-0.594041\pi\) |
0.682925 | + | 0.730488i | \(0.260707\pi\) | |||||||
\(278\) | 8.60442 | − | 5.14214i | 0.516059 | − | 0.308405i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −16.0274 | + | 5.87374i | −0.957823 | + | 0.351023i | ||||
\(281\) | −6.57050 | −0.391963 | −0.195981 | − | 0.980608i | \(-0.562789\pi\) | ||||
−0.195981 | + | 0.980608i | \(0.562789\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −12.6420 | + | 7.29886i | −0.751489 | + | 0.433872i | −0.826232 | − | 0.563330i | \(-0.809520\pi\) |
0.0747426 | + | 0.997203i | \(0.476186\pi\) | |||||||
\(284\) | −22.2582 | − | 11.9716i | −1.32078 | − | 0.710382i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 5.16743 | − | 9.27003i | 0.305556 | − | 0.548148i | ||||
\(287\) | 11.0866 | − | 12.1147i | 0.654424 | − | 0.715110i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −6.53126 | + | 11.3125i | −0.384192 | + | 0.665440i | ||||
\(290\) | −0.253327 | − | 16.8131i | −0.0148758 | − | 0.987302i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −0.635315 | − | 21.0780i | −0.0371790 | − | 1.23350i | ||||
\(293\) | 24.3253 | 1.42110 | 0.710551 | − | 0.703646i | \(-0.248446\pi\) | ||||
0.710551 | + | 0.703646i | \(0.248446\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 22.6417i | 1.31825i | ||||||||
\(296\) | −7.36343 | − | 3.81853i | −0.427991 | − | 0.221947i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0.177057 | + | 11.7512i | 0.0102567 | + | 0.680729i | ||||
\(299\) | 8.69115 | + | 5.01784i | 0.502622 | + | 0.290189i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −23.8827 | − | 21.8560i | −1.37658 | − | 1.25976i | ||||
\(302\) | 16.5865 | + | 9.24589i | 0.954447 | + | 0.532041i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 1.19054 | + | 19.7314i | 0.0682819 | + | 1.13167i | ||||
\(305\) | −8.15261 | − | 14.1207i | −0.466817 | − | 0.808551i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 17.1823i | 0.980645i | 0.871541 | + | 0.490323i | \(0.163121\pi\) | ||||
−0.871541 | + | 0.490323i | \(0.836879\pi\) | |||||||
\(308\) | 20.8567 | + | 17.9626i | 1.18842 | + | 1.02352i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −5.61400 | − | 9.39399i | −0.318854 | − | 0.533543i | ||||
\(311\) | 6.71170 | + | 11.6250i | 0.380586 | + | 0.659194i | 0.991146 | − | 0.132776i | \(-0.0423891\pi\) |
−0.610560 | + | 0.791970i | \(0.709056\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 29.9258 | + | 17.2777i | 1.69151 | + | 0.976593i | 0.953302 | + | 0.302019i | \(0.0976606\pi\) |
0.738207 | + | 0.674574i | \(0.235673\pi\) | |||||||
\(314\) | −11.7758 | + | 21.1249i | −0.664544 | + | 1.19215i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −8.61212 | + | 5.32445i | −0.484470 | + | 0.299523i | ||||
\(317\) | −12.9883 | − | 7.49878i | −0.729493 | − | 0.421173i | 0.0887434 | − | 0.996055i | \(-0.471715\pi\) |
−0.818237 | + | 0.574881i | \(0.805048\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −23.4821 | + | 13.5574i | −1.31474 | + | 0.759068i | ||||
\(320\) | −7.66032 | + | 16.5628i | −0.428225 | + | 0.925886i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −17.2807 | + | 19.4640i | −0.963016 | + | 1.08469i | ||||
\(323\) | 9.80607 | 0.545624 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.146579 | + | 0.253883i | 0.00813075 | + | 0.0140829i | ||||
\(326\) | −2.28348 | + | 0.0344057i | −0.126471 | + | 0.00190555i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −0.793219 | − | 17.5379i | −0.0437982 | − | 0.968367i | ||||
\(329\) | −6.32419 | + | 1.99853i | −0.348664 | + | 0.110182i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −4.53217 | + | 7.84994i | −0.249110 | + | 0.431472i | −0.963279 | − | 0.268502i | \(-0.913472\pi\) |
0.714169 | + | 0.699974i | \(0.246805\pi\) | |||||||
\(332\) | −0.466946 | − | 0.251147i | −0.0256270 | − | 0.0137835i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −2.98263 | − | 4.99088i | −0.163202 | − | 0.273089i | ||||
\(335\) | −12.4783 | −0.681760 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 8.05752 | 0.438921 | 0.219460 | − | 0.975621i | \(-0.429570\pi\) | ||||
0.219460 | + | 0.975621i | \(0.429570\pi\) | |||||||
\(338\) | −7.92129 | − | 13.2548i | −0.430861 | − | 0.720967i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 7.97261 | + | 4.28806i | 0.432375 | + | 0.232553i | ||||
\(341\) | −8.82349 | + | 15.2827i | −0.477819 | + | 0.827607i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 11.2458 | − | 14.7151i | 0.607214 | − | 0.794538i | ||||
\(344\) | −34.5738 | + | 1.56374i | −1.86409 | + | 0.0843110i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 23.0932 | − | 0.347950i | 1.24150 | − | 0.0187059i | ||||
\(347\) | −4.84620 | − | 8.39387i | −0.260158 | − | 0.450607i | 0.706126 | − | 0.708086i | \(-0.250441\pi\) |
−0.966284 | + | 0.257480i | \(0.917108\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 27.5070 | 1.47242 | 0.736208 | − | 0.676755i | \(-0.236614\pi\) | ||||
0.736208 | + | 0.676755i | \(0.236614\pi\) | |||||||
\(350\) | −0.721456 | + | 0.240003i | −0.0385634 | + | 0.0128287i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 29.3427 | − | 2.21458i | 1.56397 | − | 0.118037i | ||||
\(353\) | −4.47937 | + | 2.58616i | −0.238413 | + | 0.137648i | −0.614447 | − | 0.788958i | \(-0.710621\pi\) |
0.376034 | + | 0.926606i | \(0.377287\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −24.9632 | − | 14.4125i | −1.32491 | − | 0.764938i | ||||
\(356\) | 16.1754 | − | 10.0005i | 0.857296 | − | 0.530024i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 4.40518 | − | 7.90260i | 0.232821 | − | 0.417665i | ||||
\(359\) | 3.43494 | + | 1.98316i | 0.181289 | + | 0.104667i | 0.587898 | − | 0.808935i | \(-0.299956\pi\) |
−0.406609 | + | 0.913602i | \(0.633289\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 2.71076 | + | 4.69517i | 0.142672 | + | 0.247114i | ||||
\(362\) | 3.48054 | + | 5.82404i | 0.182933 | + | 0.306105i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −7.20644 | + | 2.51853i | −0.377720 | + | 0.132007i | ||||
\(365\) | − | 24.0509i | − | 1.25888i | ||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 15.8584 | + | 27.4675i | 0.827801 | + | 1.43379i | 0.899760 | + | 0.436386i | \(0.143742\pi\) |
−0.0719586 | + | 0.997408i | \(0.522925\pi\) | |||||||
\(368\) | 1.67586 | + | 27.7749i | 0.0873601 | + | 1.44787i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −8.26317 | − | 4.60617i | −0.429582 | − | 0.239463i | ||||
\(371\) | 9.42626 | + | 2.08333i | 0.489387 | + | 0.108161i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −14.3298 | − | 8.27329i | −0.741966 | − | 0.428374i | 0.0808175 | − | 0.996729i | \(-0.474247\pi\) |
−0.822784 | + | 0.568354i | \(0.807580\pi\) | |||||||
\(374\) | −0.219920 | − | 14.5959i | −0.0113718 | − | 0.754739i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −3.26414 | + | 6.29438i | −0.168335 | + | 0.324608i | ||||
\(377\) | − | 7.51991i | − | 0.387295i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −28.7422 | −1.47639 | −0.738195 | − | 0.674588i | \(-0.764321\pi\) | ||||
−0.738195 | + | 0.674588i | \(0.764321\pi\) | |||||||
\(380\) | 0.679227 | + | 22.5348i | 0.0348436 | + | 1.15601i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −0.274786 | − | 18.2374i | −0.0140593 | − | 0.933107i | ||||
\(383\) | −2.52741 | + | 4.37760i | −0.129144 | + | 0.223685i | −0.923345 | − | 0.383971i | \(-0.874556\pi\) |
0.794201 | + | 0.607655i | \(0.207890\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 23.1596 | + | 21.1942i | 1.18032 | + | 1.08016i | ||||
\(386\) | 5.06712 | − | 9.09009i | 0.257910 | − | 0.462673i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 18.8940 | + | 10.1621i | 0.959197 | + | 0.515904i | ||||
\(389\) | −2.81257 | + | 1.62384i | −0.142603 | + | 0.0823318i | −0.569604 | − | 0.821919i | \(-0.692903\pi\) |
0.427001 | + | 0.904251i | \(0.359570\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 13.8035 | 0.698074 | ||||||||
\(392\) | −2.64050 | − | 19.6221i | −0.133365 | − | 0.991067i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −3.91467 | + | 2.33947i | −0.197218 | + | 0.117861i | ||||
\(395\) | −10.0009 | + | 5.77399i | −0.503197 | + | 0.290521i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −15.2933 | + | 26.4888i | −0.767550 | + | 1.32944i | 0.171338 | + | 0.985212i | \(0.445191\pi\) |
−0.938888 | + | 0.344223i | \(0.888142\pi\) | |||||||
\(398\) | 11.0981 | − | 19.9093i | 0.556300 | − | 0.997966i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.363279 | + | 0.727127i | −0.0181640 | + | 0.0363563i | ||||
\(401\) | −13.0004 | + | 22.5173i | −0.649209 | + | 1.12446i | 0.334103 | + | 0.942536i | \(0.391567\pi\) |
−0.983312 | + | 0.181926i | \(0.941767\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −2.44708 | − | 4.23846i | −0.121898 | − | 0.211133i | ||||
\(404\) | −25.2629 | + | 0.761452i | −1.25687 | + | 0.0378837i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 19.1051 | + | 3.92157i | 0.948172 | + | 0.194624i | ||||
\(407\) | 15.2550i | 0.756160i | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 10.0633 | − | 5.81005i | 0.497598 | − | 0.287289i | −0.230123 | − | 0.973162i | \(-0.573913\pi\) |
0.727721 | + | 0.685873i | \(0.240579\pi\) | |||||||
\(410\) | −0.301654 | − | 20.0206i | −0.0148976 | − | 0.988747i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 20.7530 | + | 33.5673i | 1.02243 | + | 1.65374i | ||||
\(413\) | −25.6429 | − | 5.66741i | −1.26180 | − | 0.278875i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −0.523693 | − | 0.302354i | −0.0257071 | − | 0.0148420i | ||||
\(416\) | −3.53700 | + | 7.35463i | −0.173416 | + | 0.360590i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 31.2066 | − | 18.6496i | 1.52636 | − | 0.912180i | ||||
\(419\) | − | 12.0074i | − | 0.586601i | −0.956020 | − | 0.293300i | \(-0.905246\pi\) | ||
0.956020 | − | 0.293300i | \(-0.0947536\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 16.4501i | 0.801728i | 0.916138 | + | 0.400864i | \(0.131290\pi\) | ||||
−0.916138 | + | 0.400864i | \(0.868710\pi\) | |||||||
\(422\) | 0.951690 | + | 1.59248i | 0.0463276 | + | 0.0775206i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 8.69535 | − | 5.55869i | 0.422283 | − | 0.269954i | ||||
\(425\) | 0.349202 | + | 0.201612i | 0.0169388 | + | 0.00977961i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 18.0331 | − | 5.69870i | 0.872683 | − | 0.275779i | ||||
\(428\) | −7.60803 | − | 12.3057i | −0.367748 | − | 0.594821i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −39.4682 | + | 0.594674i | −1.90333 | + | 0.0286777i | ||||
\(431\) | 10.8768 | − | 6.27975i | 0.523919 | − | 0.302485i | −0.214617 | − | 0.976698i | \(-0.568850\pi\) |
0.738537 | + | 0.674213i | \(0.235517\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 16.0148i | − | 0.769621i | −0.922996 | − | 0.384810i | \(-0.874267\pi\) | ||
0.922996 | − | 0.384810i | \(-0.125733\pi\) | |||||||
\(434\) | 12.0444 | − | 4.00674i | 0.578149 | − | 0.192330i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.365035 | + | 12.1108i | 0.0174820 | + | 0.580004i | ||||
\(437\) | 17.1885 | + | 29.7713i | 0.822237 | + | 1.42416i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −2.73079 | + | 4.72986i | −0.130333 | + | 0.225744i | −0.923805 | − | 0.382863i | \(-0.874938\pi\) |
0.793472 | + | 0.608607i | \(0.208271\pi\) | |||||||
\(440\) | 33.5270 | − | 1.51639i | 1.59834 | − | 0.0722910i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 3.53616 | + | 1.97117i | 0.168198 | + | 0.0937592i | ||||
\(443\) | −3.94594 | + | 6.83457i | −0.187477 | + | 0.324720i | −0.944409 | − | 0.328774i | \(-0.893364\pi\) |
0.756931 | + | 0.653495i | \(0.226698\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 18.7838 | − | 10.8448i | 0.890436 | − | 0.514094i | ||||
\(446\) | −14.8236 | − | 24.8046i | −0.701918 | − | 1.17453i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −16.8407 | − | 12.8215i | −0.795648 | − | 0.605759i | ||||
\(449\) | 10.4903 | 0.495068 | 0.247534 | − | 0.968879i | \(-0.420380\pi\) | ||||
0.247534 | + | 0.968879i | \(0.420380\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −27.9617 | + | 16.1437i | −1.31667 | + | 0.760178i | ||||
\(452\) | −1.39102 | + | 2.58626i | −0.0654281 | + | 0.121648i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −26.4922 | − | 14.7676i | −1.24334 | − | 0.693080i | ||||
\(455\) | −8.30195 | + | 2.62353i | −0.389201 | + | 0.122993i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 20.2117 | − | 35.0077i | 0.945463 | − | 1.63759i | 0.190641 | − | 0.981660i | \(-0.438943\pi\) |
0.754822 | − | 0.655930i | \(-0.227723\pi\) | |||||||
\(458\) | −23.3153 | + | 0.351295i | −1.08945 | + | 0.0164149i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.956115 | + | 31.7212i | 0.0445791 | + | 1.47901i | ||||
\(461\) | −23.0641 | −1.07420 | −0.537102 | − | 0.843517i | \(-0.680481\pi\) | ||||
−0.537102 | + | 0.843517i | \(0.680481\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 14.7738i | 0.686595i | 0.939227 | + | 0.343298i | \(0.111544\pi\) | ||||
−0.939227 | + | 0.343298i | \(0.888456\pi\) | |||||||
\(464\) | 17.3960 | − | 11.4936i | 0.807591 | − | 0.533578i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 17.3648 | − | 0.261638i | 0.804407 | − | 0.0121201i | ||||
\(467\) | 10.6190 | + | 6.13089i | 0.491389 | + | 0.283704i | 0.725151 | − | 0.688590i | \(-0.241770\pi\) |
−0.233761 | + | 0.972294i | \(0.575103\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 3.12342 | − | 14.1323i | 0.144226 | − | 0.652567i | ||||
\(470\) | −3.93743 | + | 7.06349i | −0.181620 | + | 0.325814i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −23.6545 | + | 15.1217i | −1.08879 | + | 0.696032i | ||||
\(473\) | 31.8254 | + | 55.1232i | 1.46333 | + | 2.53457i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 1.00421i | 0.0460762i | ||||||||
\(476\) | −6.85206 | + | 7.95604i | −0.314063 | + | 0.364664i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 20.3525 | − | 12.1630i | 0.930899 | − | 0.556321i | ||||
\(479\) | 18.5847 | + | 32.1897i | 0.849159 | + | 1.47079i | 0.881960 | + | 0.471324i | \(0.156224\pi\) |
−0.0328017 | + | 0.999462i | \(0.510443\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −3.66394 | − | 2.11538i | −0.167061 | − | 0.0964530i | ||||
\(482\) | 25.3479 | + | 14.1298i | 1.15456 | + | 0.643593i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −16.8900 | − | 27.3190i | −0.767726 | − | 1.24177i | ||||
\(485\) | 21.1901 | + | 12.2341i | 0.962195 | + | 0.555524i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 16.5990 | − | 9.58345i | 0.752174 | − | 0.434268i | −0.0743051 | − | 0.997236i | \(-0.523674\pi\) |
0.826479 | + | 0.562968i | \(0.190341\pi\) | |||||||
\(488\) | 9.30751 | − | 17.9481i | 0.421331 | − | 0.812472i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −2.33595 | − | 22.4601i | −0.105528 | − | 1.01465i | ||||
\(491\) | −3.45295 | −0.155830 | −0.0779148 | − | 0.996960i | \(-0.524826\pi\) | ||||
−0.0779148 | + | 0.996960i | \(0.524826\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −5.17162 | − | 8.95751i | −0.232918 | − | 0.403426i | ||||
\(494\) | 0.151897 | + | 10.0813i | 0.00683416 | + | 0.453580i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 6.06479 | − | 12.1391i | 0.272317 | − | 0.545060i | ||||
\(497\) | 22.5714 | − | 24.6645i | 1.01247 | − | 1.10636i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 0.159728 | − | 0.276658i | 0.00715042 | − | 0.0123849i | −0.862428 | − | 0.506180i | \(-0.831057\pi\) |
0.869578 | + | 0.493795i | \(0.164391\pi\) | |||||||
\(500\) | 10.3658 | − | 19.2727i | 0.463573 | − | 0.861901i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 4.04063 | − | 2.41474i | 0.180342 | − | 0.107775i | ||||
\(503\) | −25.3573 | −1.13063 | −0.565314 | − | 0.824876i | \(-0.691245\pi\) | ||||
−0.565314 | + | 0.824876i | \(0.691245\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −28.8260 | −1.28274 | ||||||||
\(506\) | 43.9280 | − | 26.2521i | 1.95284 | − | 1.16705i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −11.5465 | − | 6.21028i | −0.512293 | − | 0.275536i | ||||
\(509\) | −5.33380 | + | 9.23841i | −0.236416 | + | 0.409485i | −0.959683 | − | 0.281083i | \(-0.909306\pi\) |
0.723267 | + | 0.690569i | \(0.242640\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 27.2389 | + | 6.02015i | 1.20498 | + | 0.266316i | ||||
\(512\) | −22.4197 | + | 3.05876i | −0.990821 | + | 0.135179i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −0.0786119 | − | 5.21743i | −0.00346742 | − | 0.230131i | ||||
\(515\) | 22.5052 | + | 38.9801i | 0.991696 | + | 1.71767i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 13.0402 | 0.573507 | ||||||||
\(518\) | 7.28506 | − | 8.20549i | 0.320087 | − | 0.360528i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −4.28492 | + | 8.26281i | −0.187906 | + | 0.362348i | ||||
\(521\) | 21.3366 | − | 12.3187i | 0.934774 | − | 0.539692i | 0.0464560 | − | 0.998920i | \(-0.485207\pi\) |
0.888318 | + | 0.459228i | \(0.151874\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 4.11510 | + | 2.37586i | 0.179941 | + | 0.103889i | 0.587265 | − | 0.809395i | \(-0.300205\pi\) |
−0.407324 | + | 0.913284i | \(0.633538\pi\) | |||||||
\(524\) | 18.1209 | − | 11.2032i | 0.791614 | − | 0.489415i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 33.7652 | + | 18.8219i | 1.47223 | + | 0.820672i | ||||
\(527\) | −5.82978 | − | 3.36582i | −0.253949 | − | 0.146618i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 12.6954 | + | 21.9891i | 0.551974 | + | 0.956046i | ||||
\(530\) | 10.1038 | − | 6.03818i | 0.438880 | − | 0.262282i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −25.6919 | − | 4.87141i | −1.11388 | − | 0.211202i | ||||
\(533\) | − | 8.95449i | − | 0.387862i | ||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −8.25038 | − | 14.2901i | −0.356695 | − | 0.617814i | ||||
\(536\) | −8.33384 | − | 13.0364i | −0.359967 | − | 0.563089i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −4.47691 | + | 8.03128i | −0.193013 | + | 0.346253i | ||||
\(539\) | −29.8006 | + | 20.9244i | −1.28360 | + | 0.901276i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 1.31933 | + | 0.761716i | 0.0567224 | + | 0.0327487i | 0.528093 | − | 0.849187i | \(-0.322907\pi\) |
−0.471371 | + | 0.881935i | \(0.656241\pi\) | |||||||
\(542\) | 2.49074 | − | 0.0375284i | 0.106987 | − | 0.00161198i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.844776 | + | 11.1931i | 0.0362195 | + | 0.479900i | ||||
\(545\) | 13.8190i | 0.591941i | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 42.5128 | 1.81772 | 0.908858 | − | 0.417106i | \(-0.136956\pi\) | ||||
0.908858 | + | 0.417106i | \(0.136956\pi\) | |||||||
\(548\) | −10.6197 | + | 0.320091i | −0.453653 | + | 0.0136736i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 1.49472 | − | 0.0225213i | 0.0637352 | − | 0.000960310i | ||||
\(551\) | 12.8797 | − | 22.3082i | 0.548692 | − | 0.950362i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −4.03604 | − | 12.7717i | −0.171630 | − | 0.543110i | ||||
\(554\) | 9.30026 | + | 5.18428i | 0.395130 | + | 0.220259i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 12.4846 | + | 6.71486i | 0.529467 | + | 0.284773i | ||||
\(557\) | 27.4340 | − | 15.8390i | 1.16242 | − | 0.671121i | 0.210535 | − | 0.977586i | \(-0.432480\pi\) |
0.951882 | + | 0.306465i | \(0.0991462\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −17.6527 | −0.746630 | ||||||||
\(560\) | −18.7580 | − | 15.1953i | −0.792670 | − | 0.642118i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −4.76675 | − | 7.97627i | −0.201073 | − | 0.336459i | ||||
\(563\) | 2.81241 | − | 1.62374i | 0.118529 | − | 0.0684327i | −0.439563 | − | 0.898212i | \(-0.644867\pi\) |
0.558092 | + | 0.829779i | \(0.311534\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1.67464 | + | 2.90057i | −0.0704528 | + | 0.122028i | ||||
\(566\) | −18.0320 | − | 10.0516i | −0.757940 | − | 0.422502i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −1.61492 | − | 35.7056i | −0.0677607 | − | 1.49817i | ||||
\(569\) | 22.7654 | − | 39.4309i | 0.954377 | − | 1.65303i | 0.218589 | − | 0.975817i | \(-0.429855\pi\) |
0.735788 | − | 0.677212i | \(-0.236812\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −0.356697 | − | 0.617818i | −0.0149273 | − | 0.0258549i | 0.858465 | − | 0.512872i | \(-0.171418\pi\) |
−0.873393 | + | 0.487017i | \(0.838085\pi\) | |||||||
\(572\) | 15.0022 | − | 0.452185i | 0.627275 | − | 0.0189068i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 22.7498 | + | 4.66969i | 0.949560 | + | 0.194909i | ||||
\(575\) | 1.41357i | 0.0589501i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −5.50982 | + | 3.18110i | −0.229377 | + | 0.132431i | −0.610285 | − | 0.792182i | \(-0.708945\pi\) |
0.380908 | + | 0.924613i | \(0.375612\pi\) | |||||||
\(578\) | −18.4711 | + | 0.278307i | −0.768297 | + | 0.0115761i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 20.2266 | − | 12.5051i | 0.839863 | − | 0.519246i | ||||
\(581\) | 0.473516 | − | 0.517427i | 0.0196448 | − | 0.0214665i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −16.4375 | − | 9.49018i | −0.680770 | − | 0.393043i | ||||
\(584\) | 25.1268 | − | 16.0629i | 1.03975 | − | 0.664686i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 17.6475 | + | 29.5298i | 0.729011 | + | 1.21987i | ||||
\(587\) | − | 0.534646i | − | 0.0220672i | −0.999939 | − | 0.0110336i | \(-0.996488\pi\) | ||
0.999939 | − | 0.0110336i | \(-0.00351218\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − | 16.7648i | − | 0.690782i | ||||||
\(590\) | −27.4860 | + | 16.4261i | −1.13158 | + | 0.676250i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −0.706495 | − | 11.7091i | −0.0290368 | − | 0.481242i | ||||
\(593\) | 26.0980 | + | 15.0677i | 1.07172 | + | 0.618756i | 0.928650 | − | 0.370957i | \(-0.120970\pi\) |
0.143067 | + | 0.989713i | \(0.454304\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −8.08478 | + | 8.83451i | −0.331444 | + | 0.362180i | ||||
\(596\) | −14.1370 | + | 8.74018i | −0.579072 | + | 0.358012i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0.213818 | + | 14.1910i | 0.00874366 | + | 0.580312i | ||||
\(599\) | −23.7748 | + | 13.7264i | −0.971411 | + | 0.560844i | −0.899666 | − | 0.436579i | \(-0.856190\pi\) |
−0.0717449 | + | 0.997423i | \(0.522857\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | − | 2.94649i | − | 0.120190i | −0.998193 | − | 0.0600948i | \(-0.980860\pi\) | ||
0.998193 | − | 0.0600948i | \(-0.0191403\pi\) | |||||||
\(602\) | 9.20573 | − | 44.8486i | 0.375197 | − | 1.82789i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0.809078 | + | 26.8429i | 0.0329209 | + | 1.09222i | ||||
\(605\) | −18.3160 | − | 31.7243i | −0.744652 | − | 1.28978i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 10.5832 | − | 18.3307i | 0.429560 | − | 0.744021i | −0.567274 | − | 0.823529i | \(-0.692002\pi\) |
0.996834 | + | 0.0795088i | \(0.0253352\pi\) | |||||||
\(608\) | −23.0892 | + | 15.7599i | −0.936393 | + | 0.639149i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 11.2274 | − | 20.1412i | 0.454583 | − | 0.815492i | ||||
\(611\) | −1.80826 | + | 3.13200i | −0.0731544 | + | 0.126707i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −25.0083 | + | 14.4385i | −1.01008 | + | 0.583167i | −0.911214 | − | 0.411934i | \(-0.864853\pi\) |
−0.0988618 | + | 0.995101i | \(0.531520\pi\) | |||||||
\(614\) | −20.8585 | + | 12.4654i | −0.841780 | + | 0.503062i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −6.67471 | + | 38.3506i | −0.268932 | + | 1.54519i | ||||
\(617\) | −12.1395 | −0.488717 | −0.244359 | − | 0.969685i | \(-0.578577\pi\) | ||||
−0.244359 | + | 0.969685i | \(0.578577\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −14.0233 | + | 8.09635i | −0.563643 | + | 0.325420i | −0.754607 | − | 0.656178i | \(-0.772172\pi\) |
0.190963 | + | 0.981597i | \(0.438839\pi\) | |||||||
\(620\) | 7.33103 | − | 13.6303i | 0.294421 | − | 0.547404i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −9.24302 | + | 16.5814i | −0.370611 | + | 0.664853i | ||||
\(623\) | 7.58056 | + | 23.9881i | 0.303709 | + | 0.961063i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 12.9874 | − | 22.4948i | 0.519495 | − | 0.899791i | ||||
\(626\) | 0.736230 | + | 48.8632i | 0.0294257 | + | 1.95296i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −34.1877 | + | 1.03046i | −1.36424 | + | 0.0411198i | ||||
\(629\) | −5.81918 | −0.232026 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 35.2865i | 1.40473i | 0.711815 | + | 0.702367i | \(0.247873\pi\) | ||||
−0.711815 | + | 0.702367i | \(0.752127\pi\) | |||||||
\(632\) | −12.7115 | − | 6.59194i | −0.505637 | − | 0.262213i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −0.319535 | − | 21.2073i | −0.0126903 | − | 0.842251i | ||||
\(635\) | −12.9497 | − | 7.47652i | −0.513894 | − | 0.296697i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.893226 | − | 10.0591i | −0.0353909 | − | 0.398555i | ||||
\(638\) | −33.4937 | − | 18.6706i | −1.32603 | − | 0.739174i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −25.6638 | + | 2.71664i | −1.01445 | + | 0.107385i | ||||
\(641\) | 10.8251 | + | 18.7496i | 0.427566 | + | 0.740565i | 0.996656 | − | 0.0817094i | \(-0.0260379\pi\) |
−0.569091 | + | 0.822275i | \(0.692705\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 36.8664i | 1.45387i | 0.686708 | + | 0.726934i | \(0.259055\pi\) | ||||
−0.686708 | + | 0.726934i | \(0.740945\pi\) | |||||||
\(644\) | −36.1652 | − | 6.85724i | −1.42511 | − | 0.270213i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 7.11409 | + | 11.9041i | 0.279900 | + | 0.468361i | ||||
\(647\) | −6.03892 | − | 10.4597i | −0.237414 | − | 0.411214i | 0.722557 | − | 0.691311i | \(-0.242967\pi\) |
−0.959972 | + | 0.280097i | \(0.909633\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 44.7160 | + | 25.8168i | 1.75525 | + | 1.01340i | ||||
\(650\) | −0.201862 | + | 0.362126i | −0.00791766 | + | 0.0142038i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −1.69838 | − | 2.74708i | −0.0665139 | − | 0.107584i | ||||
\(653\) | 10.4008 | + | 6.00493i | 0.407017 | + | 0.234991i | 0.689507 | − | 0.724279i | \(-0.257827\pi\) |
−0.282490 | + | 0.959270i | \(0.591161\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 21.0429 | − | 12.1491i | 0.822215 | − | 0.474706i | ||||
\(656\) | 20.7147 | − | 13.6863i | 0.808773 | − | 0.534359i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −7.01418 | − | 6.22739i | −0.273441 | − | 0.242769i | ||||
\(659\) | 10.7760 | 0.419775 | 0.209887 | − | 0.977726i | \(-0.432690\pi\) | ||||
0.209887 | + | 0.977726i | \(0.432690\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 18.3606 | + | 31.8014i | 0.714143 | + | 1.23693i | 0.963289 | + | 0.268466i | \(0.0865167\pi\) |
−0.249146 | + | 0.968466i | \(0.580150\pi\) | |||||||
\(662\) | −12.8174 | + | 0.193123i | −0.498164 | + | 0.00750593i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −0.0338788 | − | 0.749051i | −0.00131475 | − | 0.0290688i | ||||
\(665\) | −29.1216 | − | 6.43625i | −1.12929 | − | 0.249587i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 18.1301 | − | 31.4022i | 0.701999 | − | 1.21590i | ||||
\(668\) | 3.89486 | − | 7.24154i | 0.150697 | − | 0.280184i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −9.05271 | − | 15.1480i | −0.349737 | − | 0.585219i | ||||
\(671\) | −37.1834 | −1.43545 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −19.8549 | −0.765349 | −0.382675 | − | 0.923883i | \(-0.624997\pi\) | ||||
−0.382675 | + | 0.923883i | \(0.624997\pi\) | |||||||
\(674\) | 5.84555 | + | 9.78145i | 0.225162 | + | 0.376767i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 10.3440 | − | 19.2321i | 0.397846 | − | 0.739698i | ||||
\(677\) | −19.7262 | + | 34.1668i | −0.758140 | + | 1.31314i | 0.185658 | + | 0.982615i | \(0.440558\pi\) |
−0.943798 | + | 0.330523i | \(0.892775\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −19.1598 | + | 20.9366i | −0.735287 | + | 0.803473i | ||||
\(680\) | 0.578444 | + | 12.7893i | 0.0221823 | + | 0.490446i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −24.9538 | + | 0.375983i | −0.955529 | + | 0.0143971i | ||||
\(683\) | −15.7567 | − | 27.2914i | −0.602913 | − | 1.04428i | −0.992378 | − | 0.123234i | \(-0.960673\pi\) |
0.389465 | − | 0.921041i | \(-0.372660\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −12.1176 | −0.462989 | ||||||||
\(686\) | 26.0219 | + | 2.97638i | 0.993522 | + | 0.113639i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −26.9808 | − | 40.8365i | −1.02863 | − | 1.55688i | ||||
\(689\) | 4.55871 | − | 2.63197i | 0.173673 | − | 0.100270i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 37.6139 | + | 21.7164i | 1.43090 | + | 0.826130i | 0.997189 | − | 0.0749234i | \(-0.0238712\pi\) |
0.433709 | + | 0.901053i | \(0.357205\pi\) | |||||||
\(692\) | 17.1760 | + | 27.7817i | 0.652935 | + | 1.05610i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 6.67395 | − | 11.9726i | 0.253340 | − | 0.454475i | ||||
\(695\) | 14.0019 | + | 8.08399i | 0.531121 | + | 0.306643i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −6.15821 | − | 10.6663i | −0.233259 | − | 0.404016i | ||||
\(698\) | 19.9557 | + | 33.3922i | 0.755335 | + | 1.26391i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −0.814752 | − | 0.701697i | −0.0307947 | − | 0.0265216i | ||||
\(701\) | − | 22.3655i | − | 0.844733i | −0.906425 | − | 0.422366i | \(-0.861200\pi\) | ||
0.906425 | − | 0.422366i | \(-0.138800\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −7.24619 | − | 12.5508i | −0.273295 | − | 0.473361i | ||||
\(704\) | 23.9758 | + | 34.0140i | 0.903624 | + | 1.28195i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −6.38917 | − | 3.56154i | −0.240459 | − | 0.134040i | ||||
\(707\) | 7.21540 | − | 32.6469i | 0.271363 | − | 1.22781i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 26.8480 | + | 15.5007i | 1.00830 | + | 0.582142i | 0.910693 | − | 0.413084i | \(-0.135548\pi\) |
0.0976057 | + | 0.995225i | \(0.468882\pi\) | |||||||
\(710\) | −0.614140 | − | 40.7602i | −0.0230483 | − | 1.52970i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 23.8750 | + | 12.3811i | 0.894754 | + | 0.464001i | ||||
\(713\) | − | 23.5990i | − | 0.883790i | ||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 17.1182 | 0.640185 | ||||||||
\(716\) | 12.7892 | − | 0.385483i | 0.477956 | − | 0.0144062i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0.0845056 | + | 5.60859i | 0.00315372 | + | 0.209311i | ||||
\(719\) | 17.2451 | − | 29.8693i | 0.643133 | − | 1.11394i | −0.341597 | − | 0.939847i | \(-0.610968\pi\) |
0.984729 | − | 0.174092i | \(-0.0556990\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −49.7801 | + | 15.7312i | −1.85391 | + | 0.585860i | ||||
\(722\) | −3.73312 | + | 6.69698i | −0.138932 | + | 0.249236i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −4.54505 | + | 8.45042i | −0.168916 | + | 0.314057i | ||||
\(725\) | 0.917309 | − | 0.529609i | 0.0340680 | − | 0.0196692i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −38.6780 | −1.43449 | −0.717243 | − | 0.696823i | \(-0.754596\pi\) | ||||
−0.717243 | + | 0.696823i | \(0.754596\pi\) | |||||||
\(728\) | −8.28549 | − | 6.92114i | −0.307081 | − | 0.256515i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 29.1967 | − | 17.4484i | 1.08062 | − | 0.645795i | ||||
\(731\) | −21.0274 | + | 12.1402i | −0.777726 | + | 0.449020i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 7.05716 | − | 12.2234i | 0.260662 | − | 0.451480i | −0.705756 | − | 0.708455i | \(-0.749392\pi\) |
0.966418 | + | 0.256975i | \(0.0827258\pi\) | |||||||
\(734\) | −21.8394 | + | 39.1784i | −0.806106 | + | 1.44610i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −32.5016 | + | 22.1845i | −1.19802 | + | 0.817731i | ||||
\(737\) | −14.2281 | + | 24.6438i | −0.524099 | + | 0.907765i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −21.7301 | − | 37.6376i | −0.799353 | − | 1.38452i | −0.920038 | − | 0.391830i | \(-0.871842\pi\) |
0.120684 | − | 0.992691i | \(-0.461491\pi\) | |||||||
\(740\) | −0.403071 | − | 13.3728i | −0.0148172 | − | 0.491593i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 4.30948 | + | 12.9544i | 0.158206 | + | 0.475573i | ||||
\(743\) | 4.88557i | 0.179234i | 0.995976 | + | 0.0896170i | \(0.0285643\pi\) | ||||
−0.995976 | + | 0.0896170i | \(0.971436\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −16.4166 | + | 9.47812i | −0.601457 | + | 0.347251i | ||||
\(746\) | −0.352538 | − | 23.3977i | −0.0129073 | − | 0.856652i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 17.5593 | − | 10.8560i | 0.642030 | − | 0.396935i | ||||
\(749\) | 18.2494 | − | 5.76704i | 0.666818 | − | 0.210723i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −34.7208 | − | 20.0461i | −1.26698 | − | 0.731492i | −0.292566 | − | 0.956245i | \(-0.594509\pi\) |
−0.974416 | + | 0.224754i | \(0.927842\pi\) | |||||||
\(752\) | −10.0091 | + | 0.603923i | −0.364996 | + | 0.0220228i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 9.12882 | − | 5.45553i | 0.332452 | − | 0.198679i | ||||
\(755\) | 30.6290i | 1.11470i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 1.51805i | − | 0.0551745i | −0.999619 | − | 0.0275872i | \(-0.991218\pi\) | ||
0.999619 | − | 0.0275872i | \(-0.00878240\pi\) | |||||||
\(758\) | −20.8519 | − | 34.8917i | −0.757374 | − | 1.26732i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −26.8635 | + | 17.1731i | −0.974441 | + | 0.622933i | ||||
\(761\) | 11.7084 | + | 6.75982i | 0.424427 | + | 0.245043i | 0.696970 | − | 0.717101i | \(-0.254531\pi\) |
−0.272542 | + | 0.962144i | \(0.587864\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −15.6507 | − | 3.45902i | −0.566594 | − | 0.125225i | ||||
\(764\) | 21.9400 | − | 13.5644i | 0.793762 | − | 0.490744i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −7.14777 | + | 0.107697i | −0.258260 | + | 0.00389124i | ||||
\(767\) | −12.4014 | + | 7.15993i | −0.447787 | + | 0.258530i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 35.6272i | 1.28475i | 0.766391 | + | 0.642374i | \(0.222050\pi\) | ||||
−0.766391 | + | 0.642374i | \(0.777950\pi\) | |||||||
\(770\) | −8.92700 | + | 43.4907i | −0.321707 | + | 1.56729i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 14.7110 | − | 0.443408i | 0.529461 | − | 0.0159586i | ||||
\(773\) | 2.79215 | + | 4.83615i | 0.100427 | + | 0.173944i | 0.911861 | − | 0.410500i | \(-0.134646\pi\) |
−0.811434 | + | 0.584444i | \(0.801313\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.344683 | − | 0.597008i | 0.0123814 | − | 0.0214452i | ||||
\(776\) | 1.37083 | + | 30.3088i | 0.0492101 | + | 1.08802i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −4.01172 | − | 2.23627i | −0.143827 | − | 0.0801741i | ||||
\(779\) | 15.3367 | − | 26.5640i | 0.549494 | − | 0.951752i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −56.9276 | + | 32.8672i | −2.03703 | + | 1.17608i | ||||
\(782\) | 10.0142 | + | 16.7568i | 0.358105 | + | 0.599223i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 21.9047 | − | 17.4409i | 0.782311 | − | 0.622888i | ||||
\(785\) | −39.0097 | −1.39232 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −3.54682 | + | 2.04776i | −0.126431 | + | 0.0729947i | −0.561881 | − | 0.827218i | \(-0.689922\pi\) |
0.435451 | + | 0.900212i | \(0.356589\pi\) | |||||||
\(788\) | −5.68001 | − | 3.05499i | −0.202342 | − | 0.108830i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −14.2648 | − | 7.95166i | −0.507517 | − | 0.282907i | ||||
\(791\) | −2.86586 | − | 2.62265i | −0.101898 | − | 0.0932509i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 5.15616 | − | 8.93073i | 0.183101 | − | 0.317139i | ||||
\(794\) | −43.2511 | + | 0.651672i | −1.53493 | + | 0.0231270i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 32.2205 | − | 0.971163i | 1.14202 | − | 0.0344220i | ||||
\(797\) | −2.62717 | −0.0930592 | −0.0465296 | − | 0.998917i | \(-0.514816\pi\) | ||||
−0.0465296 | + | 0.998917i | \(0.514816\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 4.97433i | 0.175979i | ||||||||
\(800\) | −1.14625 | + | 0.0865108i | −0.0405260 | + | 0.00305862i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −36.7665 | + | 0.553967i | −1.29827 | + | 0.0195613i | ||||
\(803\) | −47.4990 | − | 27.4236i | −1.67620 | − | 0.967757i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −40.9930 | − | 9.05999i | −1.44481 | − | 0.319323i | ||||
\(806\) | 3.36999 | − | 6.04555i | 0.118703 | − | 0.212945i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −19.2520 | − | 30.1155i | −0.677283 | − | 1.05946i | ||||
\(809\) | −16.3253 | − | 28.2763i | −0.573968 | − | 0.994142i | −0.996153 | − | 0.0876324i | \(-0.972070\pi\) |
0.422185 | − | 0.906510i | \(-0.361263\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 12.6334i | 0.443617i | 0.975090 | + | 0.221809i | \(0.0711960\pi\) | ||||
−0.975090 | + | 0.221809i | \(0.928804\pi\) | |||||||
\(812\) | 9.09976 | + | 26.0378i | 0.319339 | + | 0.913746i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −18.5188 | + | 11.0671i | −0.649084 | + | 0.387903i | ||||
\(815\) | −1.84178 | − | 3.19006i | −0.0645148 | − | 0.111743i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −52.3676 | − | 30.2345i | −1.83211 | − | 1.05777i | ||||
\(818\) | 14.3538 | + | 8.00132i | 0.501870 | + | 0.279759i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 24.0852 | − | 14.8907i | 0.841092 | − | 0.520005i | ||||
\(821\) | 5.10901 | + | 2.94969i | 0.178306 | + | 0.102945i | 0.586496 | − | 0.809952i | \(-0.300507\pi\) |
−0.408191 | + | 0.912897i | \(0.633840\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 2.88967 | − | 1.66835i | 0.100728 | − | 0.0581551i | −0.448790 | − | 0.893637i | \(-0.648145\pi\) |
0.549518 | + | 0.835482i | \(0.314812\pi\) | |||||||
\(824\) | −25.6933 | + | 49.5454i | −0.895067 | + | 1.72600i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −11.7234 | − | 35.2408i | −0.407908 | − | 1.22619i | ||||
\(827\) | 30.1464 | 1.04829 | 0.524147 | − | 0.851628i | \(-0.324384\pi\) | ||||
0.524147 | + | 0.851628i | \(0.324384\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −18.5173 | − | 32.0728i | −0.643131 | − | 1.11394i | −0.984730 | − | 0.174090i | \(-0.944302\pi\) |
0.341599 | − | 0.939846i | \(-0.389032\pi\) | |||||||
\(830\) | −0.0128838 | − | 0.855090i | −0.000447203 | − | 0.0296806i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −11.4942 | + | 1.04187i | −0.398489 | + | 0.0361203i | ||||
\(833\) | −7.98184 | − | 11.3678i | −0.276554 | − | 0.393870i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 4.68900 | − | 8.12159i | 0.162270 | − | 0.281059i | ||||
\(836\) | 45.2794 | + | 24.3535i | 1.56602 | + | 0.842283i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 14.5764 | − | 8.71111i | 0.503535 | − | 0.300920i | ||||
\(839\) | 31.7898 | 1.09751 | 0.548753 | − | 0.835985i | \(-0.315103\pi\) | ||||
0.548753 | + | 0.835985i | \(0.315103\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 1.82963 | 0.0630907 | ||||||||
\(842\) | −19.9696 | + | 11.9342i | −0.688199 | + | 0.411279i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −1.24276 | + | 2.31061i | −0.0427777 | + | 0.0795346i | ||||
\(845\) | 12.4531 | − | 21.5694i | 0.428400 | − | 0.742010i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 40.5140 | − | 12.8030i | 1.39208 | − | 0.439915i | ||||
\(848\) | 13.0563 | + | 6.52303i | 0.448354 | + | 0.224002i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0.00859099 | + | 0.570180i | 0.000294669 | + | 0.0195570i | ||||
\(851\) | −10.2001 | − | 17.6671i | −0.349655 | − | 0.605620i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 23.7173 | 0.812063 | 0.406032 | − | 0.913859i | \(-0.366912\pi\) | ||||
0.406032 | + | 0.913859i | \(0.366912\pi\) | |||||||
\(854\) | 20.0006 | + | 17.7571i | 0.684406 | + | 0.607634i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 9.41914 | − | 18.1633i | 0.321939 | − | 0.620810i | ||||
\(857\) | −11.6340 | + | 6.71692i | −0.397411 | + | 0.229445i | −0.685366 | − | 0.728198i | \(-0.740358\pi\) |
0.287955 | + | 0.957644i | \(0.407025\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −9.92452 | − | 5.72992i | −0.338620 | − | 0.195502i | 0.321041 | − | 0.947065i | \(-0.395967\pi\) |
−0.659662 | + | 0.751563i | \(0.729300\pi\) | |||||||
\(860\) | −29.3552 | − | 47.4811i | −1.00100 | − | 1.61909i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 15.5142 | + | 8.64816i | 0.528417 | + | 0.294558i | ||||
\(863\) | 20.7525 | + | 11.9815i | 0.706425 | + | 0.407855i | 0.809736 | − | 0.586794i | \(-0.199610\pi\) |
−0.103311 | + | 0.994649i | \(0.532944\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 18.6262 | + | 32.2616i | 0.633311 | + | 1.09693i | ||||
\(866\) | 19.4412 | − | 11.6184i | 0.660638 | − | 0.394808i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 13.6019 | + | 11.7145i | 0.461680 | + | 0.397617i | ||||
\(869\) | 26.3347i | 0.893344i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −3.94597 | − | 6.83462i | −0.133704 | − | 0.231582i | ||||
\(872\) | −14.4372 | + | 9.22928i | −0.488904 | + | 0.312543i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −23.6711 | + | 42.4645i | −0.800688 | + | 1.43638i | ||||
\(875\) | 21.3562 | + | 19.5439i | 0.721973 | + | 0.660704i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 22.5651 | + | 13.0279i | 0.761968 | + | 0.439922i | 0.830002 | − | 0.557761i | \(-0.188339\pi\) |
−0.0680341 | + | 0.997683i | \(0.521673\pi\) | |||||||
\(878\) | −7.72296 | + | 0.116363i | −0.260637 | + | 0.00392707i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 26.1639 | + | 39.6001i | 0.881986 | + | 1.33492i | ||||
\(881\) | 12.4856i | 0.420651i | 0.977631 | + | 0.210325i | \(0.0674523\pi\) | ||||
−0.977631 | + | 0.210325i | \(0.932548\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −7.70463 | −0.259281 | −0.129641 | − | 0.991561i | \(-0.541382\pi\) | ||||
−0.129641 | + | 0.991561i | \(0.541382\pi\) | |||||||
\(884\) | 0.172491 | + | 5.72277i | 0.00580151 | + | 0.192478i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −11.1595 | + | 0.168143i | −0.374912 | + | 0.00564886i | ||||
\(887\) | 15.5727 | − | 26.9728i | 0.522881 | − | 0.905657i | −0.476764 | − | 0.879031i | \(-0.658190\pi\) |
0.999645 | − | 0.0266255i | \(-0.00847617\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 11.7090 | − | 12.7948i | 0.392706 | − | 0.429123i | ||||
\(890\) | 26.7923 | + | 14.9349i | 0.898080 | + | 0.500620i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 19.3574 | − | 35.9903i | 0.648133 | − | 1.20504i | ||||
\(893\) | −10.7286 | + | 6.19415i | −0.359019 | + | 0.207279i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 14.5931 | 0.487793 | ||||||||
\(896\) | 3.34713 | − | 29.7455i | 0.111820 | − | 0.993728i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 7.61048 | + | 12.7347i | 0.253965 | + | 0.424963i | ||||
\(899\) | −15.3141 | + | 8.84159i | −0.510753 | + | 0.294883i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 3.62014 | − | 6.27026i | 0.120604 | − | 0.208893i | ||||
\(902\) | −39.8833 | − | 22.2323i | −1.32797 | − | 0.740256i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −4.14876 | + | 0.187644i | −0.137986 | + | 0.00624094i | ||||
\(905\) | −5.47177 | + | 9.47738i | −0.181888 | + | 0.315039i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 11.9178 | + | 20.6423i | 0.395725 | + | 0.685416i | 0.993193 | − | 0.116477i | \(-0.0371601\pi\) |
−0.597469 | + | 0.801892i | \(0.703827\pi\) | |||||||
\(908\) | −1.29227 | − | 42.8739i | −0.0428855 | − | 1.42282i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −9.20772 | − | 8.17487i | −0.305233 | − | 0.270994i | ||||
\(911\) | 21.2488i | 0.704006i | 0.935999 | + | 0.352003i | \(0.114499\pi\) | ||||
−0.935999 | + | 0.352003i | \(0.885501\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −1.19426 | + | 0.689507i | −0.0395242 | + | 0.0228193i | ||||
\(914\) | 57.1608 | − | 0.861251i | 1.89071 | − | 0.0284877i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −17.3412 | − | 28.0488i | −0.572968 | − | 0.926758i | ||||
\(917\) | 8.49228 | + | 26.8732i | 0.280440 | + | 0.887431i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 10.2220 | + | 5.90166i | 0.337192 | + | 0.194678i | 0.659030 | − | 0.752117i | \(-0.270967\pi\) |
−0.321838 | + | 0.946795i | \(0.604301\pi\) | |||||||
\(920\) | −37.8144 | + | 24.1737i | −1.24670 | + | 0.796984i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −16.7325 | − | 27.9988i | −0.551056 | − | 0.922091i | ||||
\(923\) | − | 18.2305i | − | 0.600066i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | − | 0.595923i | − | 0.0195938i | ||||||
\(926\) | −17.9347 | + | 10.7180i | −0.589369 | + | 0.352217i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 26.5732 | + | 12.7796i | 0.872307 | + | 0.419511i | ||||
\(929\) | −10.2519 | − | 5.91892i | −0.336353 | − | 0.194193i | 0.322305 | − | 0.946636i | \(-0.395542\pi\) |
−0.658658 | + | 0.752442i | \(0.728876\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 14.5788 | − | 31.3706i | 0.477799 | − | 1.02813i | ||||
\(932\) | 12.9154 | + | 20.8902i | 0.423057 | + | 0.684281i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0.261247 | + | 17.3388i | 0.00854826 | + | 0.567343i | ||||
\(935\) | 20.3907 | − | 11.7726i | 0.666848 | − | 0.385005i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 8.94738i | − | 0.292298i | −0.989263 | − | 0.146149i | \(-0.953312\pi\) | ||
0.989263 | − | 0.146149i | \(-0.0466879\pi\) | |||||||
\(938\) | 19.4219 | − | 6.46096i | 0.634147 | − | 0.210958i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −11.4313 | + | 0.344552i | −0.372847 | + | 0.0112380i | ||||
\(941\) | −12.9899 | − | 22.4991i | −0.423458 | − | 0.733451i | 0.572817 | − | 0.819683i | \(-0.305851\pi\) |
−0.996275 | + | 0.0862325i | \(0.972517\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 21.5887 | − | 37.3928i | 0.703026 | − | 1.21768i | ||||
\(944\) | −35.5179 | − | 17.7450i | −1.15601 | − | 0.577552i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −43.8284 | + | 78.6252i | −1.42498 | + | 2.55633i | ||||
\(947\) | 3.36911 | − | 5.83547i | 0.109481 | − | 0.189627i | −0.806079 | − | 0.591808i | \(-0.798414\pi\) |
0.915560 | + | 0.402181i | \(0.131748\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 13.1732 | − | 7.60556i | 0.427621 | − | 0.246887i | ||||
\(950\) | −1.21906 | + | 0.728531i | −0.0395516 | + | 0.0236367i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −14.6293 | − | 2.54614i | −0.474137 | − | 0.0825210i | ||||
\(953\) | 11.4172 | 0.369841 | 0.184920 | − | 0.982754i | \(-0.440797\pi\) | ||||
0.184920 | + | 0.982754i | \(0.440797\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 25.4779 | − | 14.7097i | 0.824446 | − | 0.475994i | ||||
\(956\) | 29.5305 | + | 15.8830i | 0.955085 | + | 0.513692i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −25.5940 | + | 45.9139i | −0.826904 | + | 1.48341i | ||||
\(959\) | 3.03314 | − | 13.7238i | 0.0979451 | − | 0.443164i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 9.74567 | − | 16.8800i | 0.314376 | − | 0.544516i | ||||
\(962\) | −0.0901396 | − | 5.98252i | −0.00290622 | − | 0.192884i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 1.23645 | + | 41.0220i | 0.0398234 | + | 1.32123i | ||||
\(965\) | 16.7859 | 0.540358 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 17.1228i | − | 0.550633i | −0.961354 | − | 0.275317i | \(-0.911217\pi\) | ||
0.961354 | − | 0.275317i | \(-0.0887827\pi\) | |||||||
\(968\) | 20.9107 | − | 40.3230i | 0.672095 | − | 1.29603i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0.521316 | + | 34.5994i | 0.0167384 | + | 1.11092i | ||||
\(971\) | 38.4985 | + | 22.2271i | 1.23548 | + | 0.713303i | 0.968166 | − | 0.250308i | \(-0.0805318\pi\) |
0.267310 | + | 0.963611i | \(0.413865\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −12.6603 | + | 13.8343i | −0.405871 | + | 0.443508i | ||||
\(974\) | 23.6761 | + | 13.1979i | 0.758631 | + | 0.422887i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 28.5405 | − | 1.72206i | 0.913560 | − | 0.0551216i | ||||
\(977\) | −28.2632 | − | 48.9533i | −0.904220 | − | 1.56616i | −0.821961 | − | 0.569544i | \(-0.807120\pi\) |
−0.0822595 | − | 0.996611i | \(-0.526214\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | − | 49.4623i | − | 1.58082i | ||||||
\(980\) | 25.5709 | − | 19.1301i | 0.816831 | − | 0.611088i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −2.50504 | − | 4.19172i | −0.0799391 | − | 0.133763i | ||||
\(983\) | −26.5315 | − | 45.9539i | −0.846224 | − | 1.46570i | −0.884554 | − | 0.466438i | \(-0.845537\pi\) |
0.0383296 | − | 0.999265i | \(-0.487796\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −6.37029 | − | 3.67789i | −0.202974 | − | 0.117187i | ||||
\(986\) | 7.12210 | − | 12.7766i | 0.226814 | − | 0.406889i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −12.1280 | + | 7.49817i | −0.385844 | + | 0.238548i | ||||
\(989\) | −73.7154 | − | 42.5596i | −2.34401 | − | 1.35332i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −7.29353 | + | 4.21092i | −0.231687 | + | 0.133764i | −0.611350 | − | 0.791360i | \(-0.709373\pi\) |
0.379663 | + | 0.925125i | \(0.376040\pi\) | |||||||
\(992\) | 19.1361 | − | 1.44426i | 0.607573 | − | 0.0458553i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 46.3167 | + | 9.50707i | 1.46907 | + | 0.301546i | ||||
\(995\) | 36.7650 | 1.16553 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 5.24827 | + | 9.09027i | 0.166214 | + | 0.287892i | 0.937086 | − | 0.349099i | \(-0.113512\pi\) |
−0.770871 | + | 0.636991i | \(0.780179\pi\) | |||||||
\(998\) | 0.451729 | − | 0.00680627i | 0.0142992 | − | 0.000215449i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 504.2.bk.c.19.11 | 32 | ||
3.2 | odd | 2 | 168.2.t.a.19.6 | ✓ | 32 | ||
4.3 | odd | 2 | 2016.2.bs.c.271.5 | 32 | |||
7.3 | odd | 6 | inner | 504.2.bk.c.451.1 | 32 | ||
8.3 | odd | 2 | inner | 504.2.bk.c.19.1 | 32 | ||
8.5 | even | 2 | 2016.2.bs.c.271.12 | 32 | |||
12.11 | even | 2 | 672.2.bb.a.271.14 | 32 | |||
21.2 | odd | 6 | 1176.2.p.a.979.12 | 32 | |||
21.5 | even | 6 | 1176.2.p.a.979.11 | 32 | |||
21.17 | even | 6 | 168.2.t.a.115.16 | yes | 32 | ||
24.5 | odd | 2 | 672.2.bb.a.271.11 | 32 | |||
24.11 | even | 2 | 168.2.t.a.19.16 | yes | 32 | ||
28.3 | even | 6 | 2016.2.bs.c.1711.12 | 32 | |||
56.3 | even | 6 | inner | 504.2.bk.c.451.11 | 32 | ||
56.45 | odd | 6 | 2016.2.bs.c.1711.5 | 32 | |||
84.23 | even | 6 | 4704.2.p.a.3919.4 | 32 | |||
84.47 | odd | 6 | 4704.2.p.a.3919.17 | 32 | |||
84.59 | odd | 6 | 672.2.bb.a.367.11 | 32 | |||
168.5 | even | 6 | 4704.2.p.a.3919.3 | 32 | |||
168.59 | odd | 6 | 168.2.t.a.115.6 | yes | 32 | ||
168.101 | even | 6 | 672.2.bb.a.367.14 | 32 | |||
168.107 | even | 6 | 1176.2.p.a.979.9 | 32 | |||
168.131 | odd | 6 | 1176.2.p.a.979.10 | 32 | |||
168.149 | odd | 6 | 4704.2.p.a.3919.18 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
168.2.t.a.19.6 | ✓ | 32 | 3.2 | odd | 2 | ||
168.2.t.a.19.16 | yes | 32 | 24.11 | even | 2 | ||
168.2.t.a.115.6 | yes | 32 | 168.59 | odd | 6 | ||
168.2.t.a.115.16 | yes | 32 | 21.17 | even | 6 | ||
504.2.bk.c.19.1 | 32 | 8.3 | odd | 2 | inner | ||
504.2.bk.c.19.11 | 32 | 1.1 | even | 1 | trivial | ||
504.2.bk.c.451.1 | 32 | 7.3 | odd | 6 | inner | ||
504.2.bk.c.451.11 | 32 | 56.3 | even | 6 | inner | ||
672.2.bb.a.271.11 | 32 | 24.5 | odd | 2 | |||
672.2.bb.a.271.14 | 32 | 12.11 | even | 2 | |||
672.2.bb.a.367.11 | 32 | 84.59 | odd | 6 | |||
672.2.bb.a.367.14 | 32 | 168.101 | even | 6 | |||
1176.2.p.a.979.9 | 32 | 168.107 | even | 6 | |||
1176.2.p.a.979.10 | 32 | 168.131 | odd | 6 | |||
1176.2.p.a.979.11 | 32 | 21.5 | even | 6 | |||
1176.2.p.a.979.12 | 32 | 21.2 | odd | 6 | |||
2016.2.bs.c.271.5 | 32 | 4.3 | odd | 2 | |||
2016.2.bs.c.271.12 | 32 | 8.5 | even | 2 | |||
2016.2.bs.c.1711.5 | 32 | 56.45 | odd | 6 | |||
2016.2.bs.c.1711.12 | 32 | 28.3 | even | 6 | |||
4704.2.p.a.3919.3 | 32 | 168.5 | even | 6 | |||
4704.2.p.a.3919.4 | 32 | 84.23 | even | 6 | |||
4704.2.p.a.3919.17 | 32 | 84.47 | odd | 6 | |||
4704.2.p.a.3919.18 | 32 | 168.149 | odd | 6 |