Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [567,2,Mod(298,567)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(567, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("567.298");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 567 = 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 567.h (of order \(3\), degree \(2\), not 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: | \(4.52751779461\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 8.0.1767277521.3 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 2x^{7} + x^{6} - 10x^{5} + 38x^{4} - 40x^{3} + 64x^{2} - 38x + 7 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 298.2 | ||
Root | \(0.0512865 + 1.21608i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 567.298 |
Dual form | 567.2.h.j.352.2 |
$q$-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 \(\left(\mathbb{Z}/567\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(407\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.53652 | −1.08649 | −0.543243 | − | 0.839576i | \(-0.682804\pi\) | ||||
−0.543243 | + | 0.839576i | \(0.682804\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.360904 | 0.180452 | ||||||||
\(5\) | 1.57880 | − | 2.73457i | 0.706062 | − | 1.22294i | −0.260245 | − | 0.965543i | \(-0.583803\pi\) |
0.966307 | − | 0.257393i | \(-0.0828634\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.29578 | − | 1.31507i | 0.867723 | − | 0.497049i | ||||
\(8\) | 2.51851 | 0.890428 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −2.42587 | + | 4.20173i | −0.767127 | + | 1.32870i | ||||
\(11\) | −2.87458 | − | 4.97892i | −0.866719 | − | 1.50120i | −0.865330 | − | 0.501202i | \(-0.832891\pi\) |
−0.00138834 | − | 0.999999i | \(-0.500442\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.180452 | + | 0.312552i | 0.0500484 | + | 0.0866863i | 0.889964 | − | 0.456030i | \(-0.150729\pi\) |
−0.839916 | + | 0.542717i | \(0.817396\pi\) | |||||||
\(14\) | −3.52752 | + | 2.02063i | −0.942768 | + | 0.540037i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −4.59156 | −1.14789 | ||||||||
\(17\) | 1.38842 | − | 2.40481i | 0.336741 | − | 0.583253i | −0.647076 | − | 0.762425i | \(-0.724009\pi\) |
0.983818 | + | 0.179172i | \(0.0573419\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.61533 | + | 6.26193i | 0.829413 | + | 1.43658i | 0.898500 | + | 0.438974i | \(0.144658\pi\) |
−0.0690869 | + | 0.997611i | \(0.522009\pi\) | |||||||
\(20\) | 0.569796 | − | 0.986916i | 0.127410 | − | 0.220681i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 4.41686 | + | 7.65023i | 0.941678 | + | 1.63103i | ||||
\(23\) | −0.412190 | + | 0.713934i | −0.0859476 | + | 0.148866i | −0.905795 | − | 0.423717i | \(-0.860725\pi\) |
0.819847 | + | 0.572583i | \(0.194058\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.48524 | − | 4.30456i | −0.497047 | − | 0.860911i | ||||
\(26\) | −0.277269 | − | 0.480243i | −0.0543768 | − | 0.0941834i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.828555 | − | 0.474613i | 0.156582 | − | 0.0896934i | ||||
\(29\) | −2.13910 | + | 3.70502i | −0.397220 | + | 0.688006i | −0.993382 | − | 0.114859i | \(-0.963358\pi\) |
0.596162 | + | 0.802864i | \(0.296692\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −4.98199 | −0.894791 | −0.447396 | − | 0.894336i | \(-0.647648\pi\) | ||||
−0.447396 | + | 0.894336i | \(0.647648\pi\) | |||||||
\(32\) | 2.01801 | 0.356738 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.13334 | + | 3.69505i | −0.365865 | + | 0.633696i | ||||
\(35\) | 0.0284402 | − | 8.35419i | 0.00480728 | − | 1.41212i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.74542 | − | 6.48725i | −0.615743 | − | 1.06650i | −0.990254 | − | 0.139275i | \(-0.955523\pi\) |
0.374511 | − | 0.927222i | \(-0.377811\pi\) | |||||||
\(38\) | −5.55503 | − | 9.62160i | −0.901145 | − | 1.56083i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 3.97623 | − | 6.88703i | 0.628697 | − | 1.08894i | ||||
\(41\) | −1.66569 | − | 2.88506i | −0.260137 | − | 0.450570i | 0.706141 | − | 0.708071i | \(-0.250434\pi\) |
−0.966278 | + | 0.257501i | \(0.917101\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.93487 | − | 6.81540i | 0.600063 | − | 1.03934i | −0.392748 | − | 0.919646i | \(-0.628476\pi\) |
0.992811 | − | 0.119693i | \(-0.0381910\pi\) | |||||||
\(44\) | −1.03745 | − | 1.79691i | −0.156401 | − | 0.270895i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.633340 | − | 1.09698i | 0.0933809 | − | 0.161740i | ||||
\(47\) | 3.48149 | 0.507828 | 0.253914 | − | 0.967227i | \(-0.418282\pi\) | ||||
0.253914 | + | 0.967227i | \(0.418282\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.54119 | − | 6.03821i | 0.505885 | − | 0.862601i | ||||
\(50\) | 3.81862 | + | 6.61405i | 0.540035 | + | 0.935368i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.0651258 | + | 0.112801i | 0.00903132 | + | 0.0156427i | ||||
\(53\) | −1.45772 | + | 2.52485i | −0.200233 | + | 0.346814i | −0.948604 | − | 0.316467i | \(-0.897503\pi\) |
0.748370 | + | 0.663281i | \(0.230837\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −18.1536 | −2.44783 | ||||||||
\(56\) | 5.78194 | − | 3.31201i | 0.772644 | − | 0.442586i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 3.28677 | − | 5.69285i | 0.431574 | − | 0.747508i | ||||
\(59\) | −2.39878 | −0.312294 | −0.156147 | − | 0.987734i | \(-0.549907\pi\) | ||||
−0.156147 | + | 0.987734i | \(0.549907\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.20113 | 0.409862 | 0.204931 | − | 0.978776i | \(-0.434303\pi\) | ||||
0.204931 | + | 0.978776i | \(0.434303\pi\) | |||||||
\(62\) | 7.65494 | 0.972178 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 6.08239 | 0.760298 | ||||||||
\(65\) | 1.13959 | 0.141349 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.89927 | 0.232033 | 0.116017 | − | 0.993247i | \(-0.462987\pi\) | ||||
0.116017 | + | 0.993247i | \(0.462987\pi\) | |||||||
\(68\) | 0.501086 | − | 0.867907i | 0.0607656 | − | 0.105249i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.0436991 | + | 12.8364i | −0.00522304 | + | 1.53424i | ||||
\(71\) | −1.60957 | −0.191021 | −0.0955104 | − | 0.995428i | \(-0.530448\pi\) | ||||
−0.0955104 | + | 0.995428i | \(0.530448\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 7.70688 | − | 13.3487i | 0.902022 | − | 1.56235i | 0.0771572 | − | 0.997019i | \(-0.475416\pi\) |
0.824865 | − | 0.565330i | \(-0.191251\pi\) | |||||||
\(74\) | 5.75492 | + | 9.96781i | 0.668996 | + | 1.15873i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 1.30478 | + | 2.25995i | 0.149669 | + | 0.259234i | ||||
\(77\) | −13.1470 | − | 7.65023i | −1.49824 | − | 0.871824i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 5.47282 | 0.615740 | 0.307870 | − | 0.951428i | \(-0.400384\pi\) | ||||
0.307870 | + | 0.951428i | \(0.400384\pi\) | |||||||
\(80\) | −7.24916 | + | 12.5559i | −0.810481 | + | 1.40379i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 2.55937 | + | 4.43296i | 0.282635 | + | 0.489538i | ||||
\(83\) | −6.51742 | + | 11.2885i | −0.715380 | + | 1.23907i | 0.247433 | + | 0.968905i | \(0.420413\pi\) |
−0.962813 | + | 0.270170i | \(0.912920\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −4.38408 | − | 7.59346i | −0.475521 | − | 0.823626i | ||||
\(86\) | −6.04603 | + | 10.4720i | −0.651960 | + | 1.12923i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −7.23966 | − | 12.5395i | −0.771750 | − | 1.33671i | ||||
\(89\) | −7.13384 | − | 12.3562i | −0.756185 | − | 1.30975i | −0.944783 | − | 0.327697i | \(-0.893728\pi\) |
0.188598 | − | 0.982054i | \(-0.439606\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.825304 | + | 0.480243i | 0.0865154 | + | 0.0503432i | ||||
\(92\) | −0.148761 | + | 0.257662i | −0.0155094 | + | 0.0268631i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −5.34939 | −0.551748 | ||||||||
\(95\) | 22.8315 | 2.34247 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −8.00266 | + | 13.8610i | −0.812547 | + | 1.40737i | 0.0985289 | + | 0.995134i | \(0.468586\pi\) |
−0.911076 | + | 0.412239i | \(0.864747\pi\) | |||||||
\(98\) | −5.44113 | + | 9.27785i | −0.549637 | + | 0.937204i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.896931 | − | 1.55353i | −0.0896931 | − | 0.155353i | ||||
\(101\) | 1.50375 | + | 2.60456i | 0.149628 | + | 0.259164i | 0.931090 | − | 0.364789i | \(-0.118859\pi\) |
−0.781462 | + | 0.623953i | \(0.785526\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.86031 | + | 8.41831i | −0.478901 | + | 0.829481i | −0.999707 | − | 0.0241941i | \(-0.992298\pi\) |
0.520806 | + | 0.853675i | \(0.325631\pi\) | |||||||
\(104\) | 0.454470 | + | 0.787165i | 0.0445644 | + | 0.0771879i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 2.23982 | − | 3.87948i | 0.217551 | − | 0.376809i | ||||
\(107\) | 5.21214 | + | 9.02770i | 0.503877 | + | 0.872740i | 0.999990 | + | 0.00448241i | \(0.00142680\pi\) |
−0.496113 | + | 0.868258i | \(0.665240\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 2.33713 | − | 4.04803i | 0.223857 | − | 0.387731i | −0.732119 | − | 0.681177i | \(-0.761469\pi\) |
0.955976 | + | 0.293445i | \(0.0948019\pi\) | |||||||
\(110\) | 27.8934 | 2.65953 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −10.5412 | + | 6.03821i | −0.996049 | + | 0.570557i | ||||
\(113\) | 2.34332 | + | 4.05875i | 0.220441 | + | 0.381815i | 0.954942 | − | 0.296793i | \(-0.0959171\pi\) |
−0.734501 | + | 0.678608i | \(0.762584\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.30153 | + | 2.25432i | 0.121369 | + | 0.210217i | ||||
\(116\) | −0.772008 | + | 1.33716i | −0.0716791 | + | 0.124152i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 3.68578 | 0.339304 | ||||||||
\(119\) | 0.0250107 | − | 7.34679i | 0.00229273 | − | 0.673479i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −11.0264 | + | 19.0983i | −1.00240 | + | 1.73621i | ||||
\(122\) | −4.91860 | −0.445310 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −1.79802 | −0.161467 | ||||||||
\(125\) | 0.0932326 | 0.00833898 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −9.15945 | −0.812770 | −0.406385 | − | 0.913702i | \(-0.633211\pi\) | ||||
−0.406385 | + | 0.913702i | \(0.633211\pi\) | |||||||
\(128\) | −13.3818 | −1.18279 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −1.75101 | −0.153574 | ||||||||
\(131\) | 4.60582 | − | 7.97752i | 0.402413 | − | 0.696999i | −0.591604 | − | 0.806229i | \(-0.701505\pi\) |
0.994017 | + | 0.109230i | \(0.0348384\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 16.5348 | + | 9.62160i | 1.43375 | + | 0.834298i | ||||
\(134\) | −2.91828 | −0.252101 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 3.49675 | − | 6.05655i | 0.299844 | − | 0.519345i | ||||
\(137\) | 3.41219 | + | 5.91009i | 0.291523 | + | 0.504933i | 0.974170 | − | 0.225815i | \(-0.0725046\pi\) |
−0.682647 | + | 0.730748i | \(0.739171\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2.84332 | + | 4.92477i | 0.241167 | + | 0.417714i | 0.961047 | − | 0.276385i | \(-0.0891365\pi\) |
−0.719880 | + | 0.694099i | \(0.755803\pi\) | |||||||
\(140\) | 0.0102642 | − | 3.01506i | 0.000867483 | − | 0.254819i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 2.47314 | 0.207541 | ||||||||
\(143\) | 1.03745 | − | 1.79691i | 0.0867557 | − | 0.150265i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 6.75442 | + | 11.6990i | 0.560924 | + | 0.971549i | ||||
\(146\) | −11.8418 | + | 20.5106i | −0.980035 | + | 1.69747i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1.35173 | − | 2.34127i | −0.111112 | − | 0.192451i | ||||
\(149\) | 10.7943 | − | 18.6962i | 0.884301 | − | 1.53165i | 0.0377873 | − | 0.999286i | \(-0.487969\pi\) |
0.846513 | − | 0.532368i | \(-0.178698\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.77776 | + | 4.81123i | 0.226051 | + | 0.391532i | 0.956634 | − | 0.291292i | \(-0.0940850\pi\) |
−0.730583 | + | 0.682824i | \(0.760752\pi\) | |||||||
\(152\) | 9.10523 | + | 15.7707i | 0.738532 | + | 1.27917i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 20.2007 | + | 11.7548i | 1.62782 | + | 0.947225i | ||||
\(155\) | −7.86557 | + | 13.6236i | −0.631778 | + | 1.09427i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 6.07120 | 0.484534 | 0.242267 | − | 0.970210i | \(-0.422109\pi\) | ||||
0.242267 | + | 0.970210i | \(0.422109\pi\) | |||||||
\(158\) | −8.40911 | −0.668993 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 3.18605 | − | 5.51839i | 0.251879 | − | 0.436267i | ||||
\(161\) | −0.00742511 | + | 2.18109i | −0.000585181 | + | 0.171894i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 1.92630 | + | 3.33644i | 0.150879 | + | 0.261330i | 0.931551 | − | 0.363611i | \(-0.118456\pi\) |
−0.780672 | + | 0.624941i | \(0.785123\pi\) | |||||||
\(164\) | −0.601153 | − | 1.04123i | −0.0469422 | − | 0.0813063i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 10.0142 | − | 17.3451i | 0.777251 | − | 1.34624i | ||||
\(167\) | −1.76919 | − | 3.06432i | −0.136904 | − | 0.237124i | 0.789419 | − | 0.613854i | \(-0.210382\pi\) |
−0.926323 | + | 0.376730i | \(0.877048\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.43487 | − | 11.1455i | 0.494990 | − | 0.857348i | ||||
\(170\) | 6.73625 | + | 11.6675i | 0.516647 | + | 0.894858i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 1.42011 | − | 2.45970i | 0.108282 | − | 0.187551i | ||||
\(173\) | 9.85358 | 0.749154 | 0.374577 | − | 0.927196i | \(-0.377788\pi\) | ||||
0.374577 | + | 0.927196i | \(0.377788\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −11.3663 | − | 6.61405i | −0.859214 | − | 0.499975i | ||||
\(176\) | 13.1988 | + | 22.8610i | 0.994897 | + | 1.72321i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 10.9613 | + | 18.9855i | 0.821585 | + | 1.42303i | ||||
\(179\) | −9.94855 | + | 17.2314i | −0.743590 | + | 1.28794i | 0.207261 | + | 0.978286i | \(0.433545\pi\) |
−0.950851 | + | 0.309649i | \(0.899788\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 12.0930 | 0.898869 | 0.449434 | − | 0.893313i | \(-0.351626\pi\) | ||||
0.449434 | + | 0.893313i | \(0.351626\pi\) | |||||||
\(182\) | −1.26810 | − | 0.737905i | −0.0939978 | − | 0.0546971i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −1.03811 | + | 1.79805i | −0.0765301 | + | 0.132554i | ||||
\(185\) | −23.6531 | −1.73901 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −15.9645 | −1.16744 | ||||||||
\(188\) | 1.25648 | 0.0916385 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −35.0812 | −2.54506 | ||||||||
\(191\) | −9.71964 | −0.703288 | −0.351644 | − | 0.936134i | \(-0.614377\pi\) | ||||
−0.351644 | + | 0.936134i | \(0.614377\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −2.30185 | −0.165691 | −0.0828454 | − | 0.996562i | \(-0.526401\pi\) | ||||
−0.0828454 | + | 0.996562i | \(0.526401\pi\) | |||||||
\(194\) | 12.2963 | − | 21.2978i | 0.882821 | − | 1.52909i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.27803 | − | 2.17921i | 0.0912879 | − | 0.155658i | ||||
\(197\) | −5.06470 | −0.360845 | −0.180422 | − | 0.983589i | \(-0.557746\pi\) | ||||
−0.180422 | + | 0.983589i | \(0.557746\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 4.97666 | − | 8.61982i | 0.352786 | − | 0.611043i | −0.633951 | − | 0.773374i | \(-0.718568\pi\) |
0.986736 | + | 0.162330i | \(0.0519011\pi\) | |||||||
\(200\) | −6.25909 | − | 10.8411i | −0.442585 | − | 0.766579i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −2.31054 | − | 4.00197i | −0.162569 | − | 0.281578i | ||||
\(203\) | −0.0385333 | + | 11.3190i | −0.00270450 | + | 0.794436i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −10.5192 | −0.734691 | ||||||||
\(206\) | 7.46798 | − | 12.9349i | 0.520319 | − | 0.901219i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −0.828555 | − | 1.43510i | −0.0574500 | − | 0.0995062i | ||||
\(209\) | 20.7851 | − | 36.0008i | 1.43774 | − | 2.49023i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 11.6503 | + | 20.1790i | 0.802042 | + | 1.38918i | 0.918270 | + | 0.395955i | \(0.129586\pi\) |
−0.116228 | + | 0.993223i | \(0.537080\pi\) | |||||||
\(212\) | −0.526097 | + | 0.911226i | −0.0361325 | + | 0.0625833i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −8.00858 | − | 13.8713i | −0.547455 | − | 0.948220i | ||||
\(215\) | −12.4248 | − | 21.5204i | −0.847363 | − | 1.46768i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −11.4375 | + | 6.55165i | −0.776430 | + | 0.444755i | ||||
\(218\) | −3.59106 | + | 6.21990i | −0.243217 | + | 0.421265i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −6.55170 | −0.441715 | ||||||||
\(221\) | 1.00217 | 0.0674134 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 5.93770 | − | 10.2844i | 0.397618 | − | 0.688694i | −0.595814 | − | 0.803123i | \(-0.703170\pi\) |
0.993431 | + | 0.114429i | \(0.0365037\pi\) | |||||||
\(224\) | 4.63291 | − | 2.65382i | 0.309549 | − | 0.177316i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −3.60056 | − | 6.23636i | −0.239506 | − | 0.414836i | ||||
\(227\) | 2.98040 | + | 5.16221i | 0.197816 | + | 0.342628i | 0.947820 | − | 0.318806i | \(-0.103282\pi\) |
−0.750004 | + | 0.661434i | \(0.769948\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 11.8603 | − | 20.5427i | 0.783752 | − | 1.35750i | −0.145990 | − | 0.989286i | \(-0.546637\pi\) |
0.929742 | − | 0.368212i | \(-0.120030\pi\) | |||||||
\(230\) | −1.99984 | − | 3.46382i | −0.131865 | − | 0.228398i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −5.38733 | + | 9.33114i | −0.353696 | + | 0.612619i | ||||
\(233\) | −6.92961 | − | 12.0024i | −0.453974 | − | 0.786306i | 0.544654 | − | 0.838661i | \(-0.316661\pi\) |
−0.998629 | + | 0.0523544i | \(0.983327\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 5.49659 | − | 9.52037i | 0.358558 | − | 0.621040i | ||||
\(236\) | −0.865728 | −0.0563541 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −0.0384296 | + | 11.2885i | −0.00249102 | + | 0.731725i | ||||
\(239\) | 11.1713 | + | 19.3492i | 0.722610 | + | 1.25160i | 0.959950 | + | 0.280171i | \(0.0903911\pi\) |
−0.237340 | + | 0.971427i | \(0.576276\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −4.86031 | − | 8.41831i | −0.313080 | − | 0.542271i | 0.665947 | − | 0.745999i | \(-0.268028\pi\) |
−0.979028 | + | 0.203728i | \(0.934694\pi\) | |||||||
\(242\) | 16.9424 | − | 29.3450i | 1.08910 | − | 1.88637i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 1.15530 | 0.0739604 | ||||||||
\(245\) | −10.9210 | − | 19.2168i | −0.697719 | − | 1.22771i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.30478 | + | 2.25995i | −0.0830215 | + | 0.143797i | ||||
\(248\) | −12.5472 | −0.796747 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −0.143254 | −0.00906018 | ||||||||
\(251\) | 6.51950 | 0.411507 | 0.205754 | − | 0.978604i | \(-0.434035\pi\) | ||||
0.205754 | + | 0.978604i | \(0.434035\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 4.73950 | 0.297970 | ||||||||
\(254\) | 14.0737 | 0.883063 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 8.39661 | 0.524788 | ||||||||
\(257\) | 2.76501 | − | 4.78914i | 0.172477 | − | 0.298738i | −0.766808 | − | 0.641876i | \(-0.778156\pi\) |
0.939285 | + | 0.343138i | \(0.111490\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −17.1298 | − | 9.96781i | −1.06439 | − | 0.619370i | ||||
\(260\) | 0.411283 | 0.0255067 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −7.07696 | + | 12.2576i | −0.437216 | + | 0.757280i | ||||
\(263\) | 4.34749 | + | 7.53008i | 0.268078 | + | 0.464325i | 0.968365 | − | 0.249536i | \(-0.0802782\pi\) |
−0.700288 | + | 0.713861i | \(0.746945\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 4.60291 | + | 7.97247i | 0.282754 | + | 0.489745i | ||||
\(266\) | −25.4062 | − | 14.7838i | −1.55775 | − | 0.906454i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0.685455 | 0.0418709 | ||||||||
\(269\) | −1.88951 | + | 3.27272i | −0.115205 | + | 0.199541i | −0.917862 | − | 0.396900i | \(-0.870086\pi\) |
0.802657 | + | 0.596442i | \(0.203419\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −3.30995 | − | 5.73300i | −0.201065 | − | 0.348255i | 0.747807 | − | 0.663916i | \(-0.231107\pi\) |
−0.948872 | + | 0.315661i | \(0.897774\pi\) | |||||||
\(272\) | −6.37501 | + | 11.0418i | −0.386542 | + | 0.669510i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −5.24291 | − | 9.08099i | −0.316736 | − | 0.548602i | ||||
\(275\) | −14.2880 | + | 24.7476i | −0.861601 | + | 1.49234i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 12.6329 | + | 21.8808i | 0.759038 | + | 1.31469i | 0.943342 | + | 0.331823i | \(0.107664\pi\) |
−0.184303 | + | 0.982869i | \(0.559003\pi\) | |||||||
\(278\) | −4.36882 | − | 7.56703i | −0.262025 | − | 0.453840i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.0716270 | − | 21.0401i | 0.00428053 | − | 1.25739i | ||||
\(281\) | 3.71221 | − | 6.42974i | 0.221452 | − | 0.383566i | −0.733797 | − | 0.679369i | \(-0.762254\pi\) |
0.955249 | + | 0.295803i | \(0.0955871\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 15.4203 | 0.916640 | 0.458320 | − | 0.888787i | \(-0.348451\pi\) | ||||
0.458320 | + | 0.888787i | \(0.348451\pi\) | |||||||
\(284\) | −0.580900 | −0.0344701 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −1.59406 | + | 2.76100i | −0.0942588 | + | 0.163261i | ||||
\(287\) | −7.61810 | − | 4.43296i | −0.449682 | − | 0.261669i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 4.64458 | + | 8.04465i | 0.273211 | + | 0.473215i | ||||
\(290\) | −10.3783 | − | 17.9758i | −0.609436 | − | 1.05557i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 2.78144 | − | 4.81760i | 0.162772 | − | 0.281929i | ||||
\(293\) | 15.2899 | + | 26.4828i | 0.893243 | + | 1.54714i | 0.835964 | + | 0.548784i | \(0.184909\pi\) |
0.0572791 | + | 0.998358i | \(0.481758\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −3.78720 | + | 6.55962i | −0.220499 | + | 0.381916i | ||||
\(296\) | −9.43286 | − | 16.3382i | −0.548274 | − | 0.949639i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −16.5856 | + | 28.7272i | −0.960780 | + | 1.66412i | ||||
\(299\) | −0.297522 | −0.0172061 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.0708821 | − | 20.8213i | 0.00408557 | − | 1.20012i | ||||
\(302\) | −4.26810 | − | 7.39256i | −0.245602 | − | 0.425394i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −16.6000 | − | 28.7520i | −0.952074 | − | 1.64904i | ||||
\(305\) | 5.05395 | − | 8.75369i | 0.289388 | − | 0.501235i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −28.7794 | −1.64252 | −0.821262 | − | 0.570551i | \(-0.806730\pi\) | ||||
−0.821262 | + | 0.570551i | \(0.806730\pi\) | |||||||
\(308\) | −4.74481 | − | 2.76100i | −0.270361 | − | 0.157322i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 12.0856 | − | 20.9329i | 0.686418 | − | 1.18891i | ||||
\(311\) | 2.57255 | 0.145876 | 0.0729380 | − | 0.997336i | \(-0.476762\pi\) | ||||
0.0729380 | + | 0.997336i | \(0.476762\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −18.5145 | −1.04650 | −0.523250 | − | 0.852179i | \(-0.675281\pi\) | ||||
−0.523250 | + | 0.852179i | \(0.675281\pi\) | |||||||
\(314\) | −9.32854 | −0.526440 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 1.97516 | 0.111111 | ||||||||
\(317\) | −15.5182 | −0.871588 | −0.435794 | − | 0.900046i | \(-0.643532\pi\) | ||||
−0.435794 | + | 0.900046i | \(0.643532\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 24.5960 | 1.37711 | ||||||||
\(320\) | 9.60289 | − | 16.6327i | 0.536818 | − | 0.929796i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.0114089 | − | 3.35130i | 0.000635791 | − | 0.186761i | ||||
\(323\) | 20.0784 | 1.11719 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.896931 | − | 1.55353i | 0.0497528 | − | 0.0861744i | ||||
\(326\) | −2.95980 | − | 5.12652i | −0.163928 | − | 0.283932i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −4.19505 | − | 7.26604i | −0.231633 | − | 0.401200i | ||||
\(329\) | 7.99273 | − | 4.57840i | 0.440653 | − | 0.252415i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 31.5904 | 1.73636 | 0.868182 | − | 0.496246i | \(-0.165289\pi\) | ||||
0.868182 | + | 0.496246i | \(0.165289\pi\) | |||||||
\(332\) | −2.35216 | + | 4.07407i | −0.129092 | + | 0.223593i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 2.71839 | + | 4.70840i | 0.148744 | + | 0.257632i | ||||
\(335\) | 2.99858 | − | 5.19369i | 0.163830 | − | 0.283762i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 5.70406 | + | 9.87972i | 0.310720 | + | 0.538183i | 0.978518 | − | 0.206159i | \(-0.0660965\pi\) |
−0.667798 | + | 0.744342i | \(0.732763\pi\) | |||||||
\(338\) | −9.88733 | + | 17.1254i | −0.537800 | + | 0.931497i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −1.58223 | − | 2.74051i | −0.0858086 | − | 0.148625i | ||||
\(341\) | 14.3211 | + | 24.8049i | 0.775532 | + | 1.34326i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0.189142 | − | 18.5193i | 0.0102127 | − | 0.999948i | ||||
\(344\) | 9.91002 | − | 17.1647i | 0.534312 | − | 0.925456i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −15.1403 | −0.813945 | ||||||||
\(347\) | 4.08140 | 0.219101 | 0.109550 | − | 0.993981i | \(-0.465059\pi\) | ||||
0.109550 | + | 0.993981i | \(0.465059\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 12.1389 | − | 21.0253i | 0.649782 | − | 1.12546i | −0.333392 | − | 0.942788i | \(-0.608193\pi\) |
0.983175 | − | 0.182668i | \(-0.0584733\pi\) | |||||||
\(350\) | 17.4646 | + | 10.1626i | 0.933524 | + | 0.543216i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −5.80094 | − | 10.0475i | −0.309191 | − | 0.535535i | ||||
\(353\) | −17.0395 | − | 29.5133i | −0.906922 | − | 1.57083i | −0.818316 | − | 0.574768i | \(-0.805092\pi\) |
−0.0886057 | − | 0.996067i | \(-0.528241\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −2.54119 | + | 4.40148i | −0.134873 | + | 0.233606i | ||||
\(356\) | −2.57463 | − | 4.45939i | −0.136455 | − | 0.236347i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 15.2862 | − | 26.4764i | 0.807900 | − | 1.39932i | ||||
\(359\) | 2.74465 | + | 4.75388i | 0.144857 | + | 0.250900i | 0.929320 | − | 0.369276i | \(-0.120394\pi\) |
−0.784462 | + | 0.620176i | \(0.787061\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −16.6412 | + | 28.8233i | −0.875851 | + | 1.51702i | ||||
\(362\) | −18.5812 | −0.976608 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.297855 | + | 0.173322i | 0.0156119 | + | 0.00908452i | ||||
\(365\) | −24.3353 | − | 42.1500i | −1.27377 | − | 2.20623i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 6.81955 | + | 11.8118i | 0.355978 | + | 0.616571i | 0.987285 | − | 0.158962i | \(-0.0508146\pi\) |
−0.631307 | + | 0.775533i | \(0.717481\pi\) | |||||||
\(368\) | 1.89259 | − | 3.27807i | 0.0986583 | − | 0.170881i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 36.3435 | 1.88941 | ||||||||
\(371\) | −0.0262591 | + | 7.71349i | −0.00136330 | + | 0.400464i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −4.46189 | + | 7.72823i | −0.231028 | + | 0.400153i | −0.958111 | − | 0.286397i | \(-0.907542\pi\) |
0.727083 | + | 0.686550i | \(0.240876\pi\) | |||||||
\(374\) | 24.5298 | 1.26841 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 8.76817 | 0.452184 | ||||||||
\(377\) | −1.54402 | −0.0795209 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 29.7035 | 1.52576 | 0.762882 | − | 0.646537i | \(-0.223784\pi\) | ||||
0.762882 | + | 0.646537i | \(0.223784\pi\) | |||||||
\(380\) | 8.23999 | 0.422703 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 14.9344 | 0.764113 | ||||||||
\(383\) | −8.85505 | + | 15.3374i | −0.452472 | + | 0.783705i | −0.998539 | − | 0.0540370i | \(-0.982791\pi\) |
0.546067 | + | 0.837742i | \(0.316124\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −41.6766 | + | 23.8732i | −2.12404 | + | 1.21669i | ||||
\(386\) | 3.53685 | 0.180021 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −2.88819 | + | 5.00249i | −0.146626 | + | 0.253963i | ||||
\(389\) | 10.6628 | + | 18.4685i | 0.540624 | + | 0.936388i | 0.998868 | + | 0.0475619i | \(0.0151451\pi\) |
−0.458244 | + | 0.888826i | \(0.651522\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.14459 | + | 1.98248i | 0.0578842 | + | 0.100258i | ||||
\(392\) | 8.91853 | − | 15.2073i | 0.450454 | − | 0.768084i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 7.78203 | 0.392053 | ||||||||
\(395\) | 8.64050 | − | 14.9658i | 0.434751 | − | 0.753010i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 1.11783 | + | 1.93614i | 0.0561024 | + | 0.0971722i | 0.892713 | − | 0.450626i | \(-0.148799\pi\) |
−0.836610 | + | 0.547799i | \(0.815466\pi\) | |||||||
\(398\) | −7.64675 | + | 13.2446i | −0.383297 | + | 0.663890i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 11.4111 | + | 19.7646i | 0.570555 | + | 0.988231i | ||||
\(401\) | 4.36851 | − | 7.56648i | 0.218153 | − | 0.377852i | −0.736090 | − | 0.676883i | \(-0.763330\pi\) |
0.954243 | + | 0.299031i | \(0.0966635\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.899009 | − | 1.55713i | −0.0447828 | − | 0.0775661i | ||||
\(404\) | 0.542708 | + | 0.939997i | 0.0270007 | + | 0.0467666i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.0592072 | − | 17.3919i | 0.00293841 | − | 0.863143i | ||||
\(407\) | −21.5330 | + | 37.2962i | −1.06735 | + | 1.84871i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −28.6920 | −1.41873 | −0.709363 | − | 0.704843i | \(-0.751017\pi\) | ||||
−0.709363 | + | 0.704843i | \(0.751017\pi\) | |||||||
\(410\) | 16.1630 | 0.798232 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −1.75411 | + | 3.03820i | −0.0864186 | + | 0.149681i | ||||
\(413\) | −5.50706 | + | 3.15456i | −0.270985 | + | 0.155226i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 20.5795 | + | 35.6447i | 1.01021 | + | 1.74973i | ||||
\(416\) | 0.364154 | + | 0.630734i | 0.0178541 | + | 0.0309243i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −31.9368 | + | 55.3161i | −1.56208 | + | 2.70560i | ||||
\(419\) | 4.32221 | + | 7.48628i | 0.211154 | + | 0.365729i | 0.952076 | − | 0.305862i | \(-0.0989446\pi\) |
−0.740922 | + | 0.671591i | \(0.765611\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −9.23347 | + | 15.9928i | −0.450012 | + | 0.779444i | −0.998386 | − | 0.0567894i | \(-0.981914\pi\) |
0.548374 | + | 0.836233i | \(0.315247\pi\) | |||||||
\(422\) | −17.9010 | − | 31.0055i | −0.871408 | − | 1.50932i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −3.67128 | + | 6.35885i | −0.178293 | + | 0.308813i | ||||
\(425\) | −13.8022 | −0.669506 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 7.34907 | − | 4.20970i | 0.355647 | − | 0.203722i | ||||
\(428\) | 1.88108 | + | 3.25813i | 0.0909255 | + | 0.157488i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 19.0910 | + | 33.0665i | 0.920648 | + | 1.59461i | ||||
\(431\) | −2.90368 | + | 5.02932i | −0.139865 | + | 0.242254i | −0.927445 | − | 0.373958i | \(-0.878000\pi\) |
0.787580 | + | 0.616212i | \(0.211334\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 3.63877 | 0.174868 | 0.0874341 | − | 0.996170i | \(-0.472133\pi\) | ||||
0.0874341 | + | 0.996170i | \(0.472133\pi\) | |||||||
\(434\) | 17.5740 | − | 10.0668i | 0.843581 | − | 0.483220i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.843480 | − | 1.46095i | 0.0403954 | − | 0.0699669i | ||||
\(437\) | −5.96081 | −0.285144 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −18.6619 | −0.890684 | −0.445342 | − | 0.895361i | \(-0.646918\pi\) | ||||
−0.445342 | + | 0.895361i | \(0.646918\pi\) | |||||||
\(440\) | −45.7200 | −2.17961 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −1.53986 | −0.0732437 | ||||||||
\(443\) | 26.0911 | 1.23962 | 0.619812 | − | 0.784750i | \(-0.287209\pi\) | ||||
0.619812 | + | 0.784750i | \(0.287209\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −45.0517 | −2.13565 | ||||||||
\(446\) | −9.12341 | + | 15.8022i | −0.432006 | + | 0.748256i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 13.9638 | − | 7.99875i | 0.659728 | − | 0.377905i | ||||
\(449\) | 5.63824 | 0.266085 | 0.133042 | − | 0.991110i | \(-0.457525\pi\) | ||||
0.133042 | + | 0.991110i | \(0.457525\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −9.57631 | + | 16.5867i | −0.450931 | + | 0.781035i | ||||
\(452\) | 0.845712 | + | 1.46482i | 0.0397790 | + | 0.0688992i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −4.57946 | − | 7.93186i | −0.214925 | − | 0.372261i | ||||
\(455\) | 2.61625 | − | 1.49864i | 0.122652 | − | 0.0702574i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −19.9923 | −0.935201 | −0.467601 | − | 0.883940i | \(-0.654881\pi\) | ||||
−0.467601 | + | 0.883940i | \(0.654881\pi\) | |||||||
\(458\) | −18.2236 | + | 31.5643i | −0.851535 | + | 1.47490i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.469729 | + | 0.813594i | 0.0219012 | + | 0.0379340i | ||||
\(461\) | 18.7247 | − | 32.4322i | 0.872098 | − | 1.51052i | 0.0122753 | − | 0.999925i | \(-0.496093\pi\) |
0.859823 | − | 0.510593i | \(-0.170574\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −1.22756 | − | 2.12620i | −0.0570497 | − | 0.0988130i | 0.836090 | − | 0.548592i | \(-0.184836\pi\) |
−0.893140 | + | 0.449779i | \(0.851503\pi\) | |||||||
\(464\) | 9.82178 | − | 17.0118i | 0.455965 | − | 0.789754i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 10.6475 | + | 18.4420i | 0.493236 | + | 0.854311i | ||||
\(467\) | 16.7054 | + | 28.9345i | 0.773032 | + | 1.33893i | 0.935894 | + | 0.352282i | \(0.114594\pi\) |
−0.162862 | + | 0.986649i | \(0.552072\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 4.36031 | − | 2.49768i | 0.201341 | − | 0.115332i | ||||
\(470\) | −8.44563 | + | 14.6283i | −0.389568 | + | 0.674752i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −6.04135 | −0.278076 | ||||||||
\(473\) | −45.2445 | −2.08034 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 17.9699 | − | 31.1248i | 0.824515 | − | 1.42810i | ||||
\(476\) | 0.00902647 | − | 2.65148i | 0.000413727 | − | 0.121531i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −17.1649 | − | 29.7305i | −0.785106 | − | 1.35984i | ||||
\(479\) | 17.3468 | + | 30.0455i | 0.792595 | + | 1.37281i | 0.924355 | + | 0.381533i | \(0.124604\pi\) |
−0.131760 | + | 0.991282i | \(0.542063\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.35173 | − | 2.34127i | 0.0616338 | − | 0.106753i | ||||
\(482\) | 7.46798 | + | 12.9349i | 0.340157 | + | 0.589170i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −3.97948 | + | 6.89266i | −0.180885 | + | 0.313303i | ||||
\(485\) | 25.2692 | + | 43.7676i | 1.14742 | + | 1.98739i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −0.479909 | + | 0.831226i | −0.0217467 | + | 0.0376665i | −0.876694 | − | 0.481049i | \(-0.840256\pi\) |
0.854947 | + | 0.518715i | \(0.173589\pi\) | |||||||
\(488\) | 8.06207 | 0.364953 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 16.7804 | + | 29.5270i | 0.758062 | + | 1.33389i | ||||
\(491\) | 7.88691 | + | 13.6605i | 0.355931 | + | 0.616491i | 0.987277 | − | 0.159011i | \(-0.0508305\pi\) |
−0.631346 | + | 0.775501i | \(0.717497\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 5.93993 | + | 10.2883i | 0.267521 | + | 0.463360i | ||||
\(494\) | 2.00483 | − | 3.47247i | 0.0902017 | − | 0.156234i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 22.8751 | 1.02712 | ||||||||
\(497\) | −3.69522 | + | 2.11669i | −0.165753 | + | 0.0949467i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 9.56437 | − | 16.5660i | 0.428160 | − | 0.741595i | −0.568550 | − | 0.822649i | \(-0.692495\pi\) |
0.996710 | + | 0.0810539i | \(0.0258286\pi\) | |||||||
\(500\) | 0.0336480 | 0.00150478 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −10.0174 | −0.447097 | ||||||||
\(503\) | 33.3898 | 1.48878 | 0.744388 | − | 0.667747i | \(-0.232741\pi\) | ||||
0.744388 | + | 0.667747i | \(0.232741\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 9.49648 | 0.422588 | ||||||||
\(506\) | −7.28235 | −0.323740 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −3.30568 | −0.146666 | ||||||||
\(509\) | 16.7588 | − | 29.0271i | 0.742822 | − | 1.28660i | −0.208384 | − | 0.978047i | \(-0.566820\pi\) |
0.951206 | − | 0.308558i | \(-0.0998463\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.138830 | − | 40.7808i | 0.00614149 | − | 1.80403i | ||||
\(512\) | 13.8619 | 0.612617 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −4.24850 | + | 7.35862i | −0.187393 | + | 0.324575i | ||||
\(515\) | 15.3470 | + | 26.5817i | 0.676268 | + | 1.17133i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −10.0078 | − | 17.3341i | −0.440144 | − | 0.762351i | ||||
\(518\) | 26.3204 | + | 15.3158i | 1.15645 | + | 0.672936i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 2.87007 | 0.125861 | ||||||||
\(521\) | −13.3622 | + | 23.1439i | −0.585407 | + | 1.01395i | 0.409418 | + | 0.912347i | \(0.365732\pi\) |
−0.994825 | + | 0.101607i | \(0.967601\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −8.53219 | − | 14.7782i | −0.373086 | − | 0.646205i | 0.616952 | − | 0.787001i | \(-0.288367\pi\) |
−0.990039 | + | 0.140796i | \(0.955034\pi\) | |||||||
\(524\) | 1.66226 | − | 2.87912i | 0.0726161 | − | 0.125775i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −6.68002 | − | 11.5701i | −0.291263 | − | 0.504482i | ||||
\(527\) | −6.91709 | + | 11.9808i | −0.301313 | + | 0.521890i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 11.1602 | + | 19.3300i | 0.485226 | + | 0.840436i | ||||
\(530\) | −7.07247 | − | 12.2499i | −0.307209 | − | 0.532101i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 5.96749 | + | 3.47247i | 0.258723 | + | 0.150551i | ||||
\(533\) | 0.601153 | − | 1.04123i | 0.0260388 | − | 0.0451006i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 32.9158 | 1.42307 | ||||||||
\(536\) | 4.78334 | 0.206609 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 2.90327 | − | 5.02861i | 0.125169 | − | 0.216799i | ||||
\(539\) | −40.2432 | − | 0.274004i | −1.73340 | − | 0.0118022i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −6.17128 | − | 10.6890i | −0.265324 | − | 0.459555i | 0.702324 | − | 0.711857i | \(-0.252146\pi\) |
−0.967648 | + | 0.252302i | \(0.918812\pi\) | |||||||
\(542\) | 5.08582 | + | 8.80889i | 0.218455 | + | 0.378374i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 2.80185 | − | 4.85295i | 0.120128 | − | 0.208068i | ||||
\(545\) | −7.37975 | − | 12.7821i | −0.316114 | − | 0.547525i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −11.7212 | + | 20.3017i | −0.501163 | + | 0.868040i | 0.498836 | + | 0.866696i | \(0.333761\pi\) |
−0.999999 | + | 0.00134350i | \(0.999572\pi\) | |||||||
\(548\) | 1.23147 | + | 2.13297i | 0.0526059 | + | 0.0911161i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 21.9539 | − | 38.0252i | 0.936117 | − | 1.62140i | ||||
\(551\) | −30.9341 | −1.31784 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 12.5644 | − | 7.19713i | 0.534291 | − | 0.306053i | ||||
\(554\) | −19.4108 | − | 33.6204i | −0.824684 | − | 1.42840i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 1.02616 | + | 1.77737i | 0.0435191 | + | 0.0753772i | ||||
\(557\) | −12.2557 | + | 21.2275i | −0.519292 | + | 0.899440i | 0.480457 | + | 0.877018i | \(0.340471\pi\) |
−0.999749 | + | 0.0224216i | \(0.992862\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 2.84022 | 0.120129 | ||||||||
\(560\) | −0.130585 | + | 38.3587i | −0.00551822 | + | 1.62095i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −5.70390 | + | 9.87944i | −0.240604 | + | 0.416739i | ||||
\(563\) | 13.3714 | 0.563538 | 0.281769 | − | 0.959482i | \(-0.409079\pi\) | ||||
0.281769 | + | 0.959482i | \(0.409079\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 14.7985 | 0.622580 | ||||||||
\(566\) | −23.6936 | −0.995916 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −4.05372 | −0.170090 | ||||||||
\(569\) | 14.2488 | 0.597341 | 0.298670 | − | 0.954356i | \(-0.403457\pi\) | ||||
0.298670 | + | 0.954356i | \(0.403457\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −29.3237 | −1.22716 | −0.613579 | − | 0.789633i | \(-0.710271\pi\) | ||||
−0.613579 | + | 0.789633i | \(0.710271\pi\) | |||||||
\(572\) | 0.374419 | − | 0.648512i | 0.0156552 | − | 0.0271157i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 11.7054 | + | 6.81134i | 0.488573 | + | 0.284300i | ||||
\(575\) | 4.09756 | 0.170880 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 9.05004 | − | 15.6751i | 0.376758 | − | 0.652564i | −0.613830 | − | 0.789438i | \(-0.710372\pi\) |
0.990588 | + | 0.136874i | \(0.0437055\pi\) | |||||||
\(578\) | −7.13650 | − | 12.3608i | −0.296839 | − | 0.514141i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 2.43770 | + | 4.22221i | 0.101220 | + | 0.175318i | ||||
\(581\) | −0.117404 | + | 34.4868i | −0.00487072 | + | 1.43075i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 16.7613 | 0.694184 | ||||||||
\(584\) | 19.4099 | − | 33.6189i | 0.803186 | − | 1.39116i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −23.4932 | − | 40.6915i | −0.970496 | − | 1.68095i | ||||
\(587\) | 3.26402 | − | 5.65345i | 0.134721 | − | 0.233343i | −0.790770 | − | 0.612113i | \(-0.790320\pi\) |
0.925491 | + | 0.378770i | \(0.123653\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −18.0115 | − | 31.1968i | −0.742151 | − | 1.28544i | ||||
\(590\) | 5.81912 | − | 10.0790i | 0.239569 | − | 0.414946i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 17.1973 | + | 29.7866i | 0.706804 | + | 1.22422i | ||||
\(593\) | −12.7202 | − | 22.0321i | −0.522357 | − | 0.904749i | −0.999662 | − | 0.0260111i | \(-0.991719\pi\) |
0.477305 | − | 0.878738i | \(-0.341614\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −20.0508 | − | 11.6675i | −0.822002 | − | 0.478322i | ||||
\(596\) | 3.89569 | − | 6.74753i | 0.159574 | − | 0.276390i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0.457150 | 0.0186942 | ||||||||
\(599\) | −6.17931 | −0.252480 | −0.126240 | − | 0.992000i | \(-0.540291\pi\) | ||||
−0.126240 | + | 0.992000i | \(0.540291\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 6.46722 | − | 11.2016i | 0.263804 | − | 0.456921i | −0.703446 | − | 0.710749i | \(-0.748356\pi\) |
0.967249 | + | 0.253828i | \(0.0816896\pi\) | |||||||
\(602\) | −0.108912 | + | 31.9924i | −0.00443892 | + | 1.30391i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 1.00251 | + | 1.73639i | 0.0407914 | + | 0.0706527i | ||||
\(605\) | 34.8171 | + | 60.3050i | 1.41552 | + | 2.45175i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 11.5378 | − | 19.9840i | 0.468304 | − | 0.811126i | −0.531040 | − | 0.847347i | \(-0.678199\pi\) |
0.999344 | + | 0.0362205i | \(0.0115319\pi\) | |||||||
\(608\) | 7.29578 | + | 12.6367i | 0.295883 | + | 0.512484i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −7.76551 | + | 13.4503i | −0.314416 | + | 0.544585i | ||||
\(611\) | 0.628242 | + | 1.08815i | 0.0254159 | + | 0.0440217i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 8.81363 | − | 15.2657i | 0.355979 | − | 0.616574i | −0.631306 | − | 0.775534i | \(-0.717481\pi\) |
0.987285 | + | 0.158960i | \(0.0508141\pi\) | |||||||
\(614\) | 44.2201 | 1.78458 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −33.1109 | − | 19.2672i | −1.33408 | − | 0.776296i | ||||
\(617\) | 10.8220 | + | 18.7443i | 0.435679 | + | 0.754618i | 0.997351 | − | 0.0727418i | \(-0.0231749\pi\) |
−0.561672 | + | 0.827360i | \(0.689842\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 4.78970 | + | 8.29601i | 0.192514 | + | 0.333445i | 0.946083 | − | 0.323925i | \(-0.105002\pi\) |
−0.753568 | + | 0.657370i | \(0.771669\pi\) | |||||||
\(620\) | −2.83872 | + | 4.91680i | −0.114006 | + | 0.197463i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −3.95278 | −0.158492 | ||||||||
\(623\) | −32.6269 | − | 18.9855i | −1.30717 | − | 0.760639i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 12.5734 | − | 21.7777i | 0.502935 | − | 0.871109i | ||||
\(626\) | 28.4479 | 1.13701 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 2.19112 | 0.0874352 | ||||||||
\(629\) | −20.8008 | −0.829384 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −31.1742 | −1.24103 | −0.620514 | − | 0.784196i | \(-0.713076\pi\) | ||||
−0.620514 | + | 0.784196i | \(0.713076\pi\) | |||||||
\(632\) | 13.7833 | 0.548272 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 23.8441 | 0.946968 | ||||||||
\(635\) | −14.4610 | + | 25.0471i | −0.573866 | + | 0.993965i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 2.52627 | + | 0.0172006i | 0.100094 | + | 0.000681512i | ||||
\(638\) | −37.7924 | −1.49621 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −21.1272 | + | 36.5933i | −0.835124 | + | 1.44648i | ||||
\(641\) | −4.12607 | − | 7.14656i | −0.162970 | − | 0.282272i | 0.772963 | − | 0.634452i | \(-0.218774\pi\) |
−0.935933 | + | 0.352179i | \(0.885441\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −12.2159 | − | 21.1585i | −0.481748 | − | 0.834411i | 0.518033 | − | 0.855361i | \(-0.326664\pi\) |
−0.999781 | + | 0.0209493i | \(0.993331\pi\) | |||||||
\(644\) | −0.00267975 | + | 0.787165i | −0.000105597 | + | 0.0310186i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −30.8509 | −1.21381 | ||||||||
\(647\) | 19.3432 | − | 33.5034i | 0.760461 | − | 1.31716i | −0.182153 | − | 0.983270i | \(-0.558307\pi\) |
0.942613 | − | 0.333886i | \(-0.108360\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 6.89548 | + | 11.9433i | 0.270671 | + | 0.468817i | ||||
\(650\) | −1.37816 | + | 2.38704i | −0.0540557 | + | 0.0936273i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0.695207 | + | 1.20413i | 0.0272264 | + | 0.0471575i | ||||
\(653\) | 3.82715 | − | 6.62882i | 0.149768 | − | 0.259406i | −0.781374 | − | 0.624064i | \(-0.785481\pi\) |
0.931142 | + | 0.364658i | \(0.118814\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −14.5434 | − | 25.1899i | −0.568257 | − | 0.984249i | ||||
\(656\) | 7.64810 | + | 13.2469i | 0.298608 | + | 0.517205i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −12.2810 | + | 7.03481i | −0.478764 | + | 0.274246i | ||||
\(659\) | 19.2572 | − | 33.3545i | 0.750156 | − | 1.29931i | −0.197591 | − | 0.980285i | \(-0.563312\pi\) |
0.947747 | − | 0.319023i | \(-0.103355\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 32.2132 | 1.25295 | 0.626474 | − | 0.779443i | \(-0.284498\pi\) | ||||
0.626474 | + | 0.779443i | \(0.284498\pi\) | |||||||
\(662\) | −48.5393 | −1.88654 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −16.4142 | + | 28.4302i | −0.636994 | + | 1.10331i | ||||
\(665\) | 52.4162 | − | 30.0250i | 2.03261 | − | 1.16432i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −1.76343 | − | 3.05435i | −0.0682803 | − | 0.118265i | ||||
\(668\) | −0.638506 | − | 1.10592i | −0.0247045 | − | 0.0427895i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −4.60739 | + | 7.98023i | −0.177999 | + | 0.308303i | ||||
\(671\) | −9.20190 | − | 15.9382i | −0.355235 | − | 0.615285i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −0.630680 | + | 1.09237i | −0.0243109 | + | 0.0421077i | −0.877925 | − | 0.478798i | \(-0.841073\pi\) |
0.853614 | + | 0.520906i | \(0.174406\pi\) | |||||||
\(674\) | −8.76442 | − | 15.1804i | −0.337593 | − | 0.584728i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 2.32237 | − | 4.02246i | 0.0893219 | − | 0.154710i | ||||
\(677\) | −14.8318 | −0.570031 | −0.285016 | − | 0.958523i | \(-0.591999\pi\) | ||||
−0.285016 | + | 0.958523i | \(0.591999\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −0.144158 | + | 42.3459i | −0.00553229 | + | 1.62508i | ||||
\(680\) | −11.0414 | − | 19.1242i | −0.423417 | − | 0.733379i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −22.0047 | − | 38.1133i | −0.842605 | − | 1.45943i | ||||
\(683\) | −2.76560 | + | 4.79016i | −0.105823 | + | 0.183290i | −0.914074 | − | 0.405547i | \(-0.867081\pi\) |
0.808251 | + | 0.588838i | \(0.200414\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 21.5487 | 0.823334 | ||||||||
\(686\) | −0.290621 | + | 28.4553i | −0.0110960 | + | 1.08643i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −18.0672 | + | 31.2933i | −0.688805 | + | 1.19305i | ||||
\(689\) | −1.05219 | −0.0400854 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 8.63792 | 0.328602 | 0.164301 | − | 0.986410i | \(-0.447463\pi\) | ||||
0.164301 | + | 0.986410i | \(0.447463\pi\) | |||||||
\(692\) | 3.55620 | 0.135186 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −6.27116 | −0.238050 | ||||||||
\(695\) | 17.9562 | 0.681116 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −9.25070 | −0.350395 | ||||||||
\(698\) | −18.6518 | + | 32.3058i | −0.705979 | + | 1.22279i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −4.10215 | − | 2.38704i | −0.155047 | − | 0.0902215i | ||||
\(701\) | −26.5897 | −1.00428 | −0.502140 | − | 0.864786i | \(-0.667454\pi\) | ||||
−0.502140 | + | 0.864786i | \(0.667454\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 27.0818 | − | 46.9070i | 1.02141 | − | 1.76913i | ||||
\(704\) | −17.4843 | − | 30.2837i | −0.658965 | − | 1.14136i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 26.1816 | + | 45.3479i | 0.985358 | + | 1.70669i | ||||
\(707\) | 6.87745 | + | 4.00197i | 0.258653 | + | 0.150510i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 10.1261 | 0.380294 | 0.190147 | − | 0.981756i | \(-0.439104\pi\) | ||||
0.190147 | + | 0.981756i | \(0.439104\pi\) | |||||||
\(710\) | 3.90460 | − | 6.76297i | 0.146537 | − | 0.253810i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −17.9666 | − | 31.1191i | −0.673328 | − | 1.16624i | ||||
\(713\) | 2.05353 | − | 3.55681i | 0.0769052 | − | 0.133204i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −3.27585 | − | 5.67394i | −0.122510 | − | 0.212193i | ||||
\(716\) | −3.59047 | + | 6.21888i | −0.134182 | + | 0.232410i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −4.21722 | − | 7.30445i | −0.157385 | − | 0.272600i | ||||
\(719\) | 16.1938 | + | 28.0485i | 0.603927 | + | 1.04603i | 0.992220 | + | 0.124496i | \(0.0397315\pi\) |
−0.388293 | + | 0.921536i | \(0.626935\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −0.0875527 | + | 25.7182i | −0.00326063 | + | 0.957796i | ||||
\(722\) | 25.5695 | − | 44.2877i | 0.951600 | − | 1.64822i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 4.36443 | 0.162203 | ||||||||
\(725\) | 21.2646 | 0.789749 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −12.6174 | + | 21.8540i | −0.467953 | + | 0.810519i | −0.999329 | − | 0.0366171i | \(-0.988342\pi\) |
0.531376 | + | 0.847136i | \(0.321675\pi\) | |||||||
\(728\) | 2.07854 | + | 1.20950i | 0.0770357 | + | 0.0448269i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 37.3917 | + | 64.7644i | 1.38393 | + | 2.39704i | ||||
\(731\) | −10.9265 | − | 18.9253i | −0.404132 | − | 0.699977i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −1.42336 | + | 2.46533i | −0.0525731 | + | 0.0910592i | −0.891114 | − | 0.453779i | \(-0.850076\pi\) |
0.838541 | + | 0.544838i | \(0.183409\pi\) | |||||||
\(734\) | −10.4784 | − | 18.1491i | −0.386765 | − | 0.669896i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.831806 | + | 1.44073i | −0.0306608 | + | 0.0531060i | ||||
\(737\) | −5.45962 | − | 9.45634i | −0.201108 | − | 0.348329i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −12.2708 | + | 21.2537i | −0.451390 | + | 0.781830i | −0.998473 | − | 0.0552485i | \(-0.982405\pi\) |
0.547083 | + | 0.837078i | \(0.315738\pi\) | |||||||
\(740\) | −8.53649 | −0.313808 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0.0403477 | − | 11.8520i | 0.00148121 | − | 0.435099i | ||||
\(743\) | 2.29535 | + | 3.97566i | 0.0842082 | + | 0.145853i | 0.905054 | − | 0.425298i | \(-0.139831\pi\) |
−0.820845 | + | 0.571151i | \(0.806497\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −34.0840 | − | 59.0353i | −1.24874 | − | 2.16288i | ||||
\(746\) | 6.85581 | − | 11.8746i | 0.251009 | − | 0.434760i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −5.76165 | −0.210667 | ||||||||
\(749\) | 23.8380 | + | 13.8713i | 0.871020 | + | 0.506845i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −15.7178 | + | 27.2240i | −0.573551 | + | 0.993419i | 0.422647 | + | 0.906295i | \(0.361101\pi\) |
−0.996197 | + | 0.0871246i | \(0.972232\pi\) | |||||||
\(752\) | −15.9855 | −0.582930 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 2.37242 | 0.0863983 | ||||||||
\(755\) | 17.5422 | 0.638425 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 29.5432 | 1.07376 | 0.536882 | − | 0.843657i | \(-0.319602\pi\) | ||||
0.536882 | + | 0.843657i | \(0.319602\pi\) | |||||||
\(758\) | −45.6401 | −1.65772 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 57.5015 | 2.08580 | ||||||||
\(761\) | −23.2437 | + | 40.2592i | −0.842582 | + | 1.45940i | 0.0451218 | + | 0.998981i | \(0.485632\pi\) |
−0.887704 | + | 0.460414i | \(0.847701\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.0421007 | − | 12.3669i | 0.00152415 | − | 0.447711i | ||||
\(764\) | −3.50785 | −0.126910 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 13.6060 | − | 23.5663i | 0.491605 | − | 0.851484i | ||||
\(767\) | −0.432864 | − | 0.749743i | −0.0156298 | − | 0.0270716i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −7.08532 | − | 12.2721i | −0.255503 | − | 0.442545i | 0.709529 | − | 0.704676i | \(-0.248908\pi\) |
−0.965032 | + | 0.262132i | \(0.915574\pi\) | |||||||
\(770\) | 64.0371 | − | 36.6817i | 2.30774 | − | 1.32192i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −0.830747 | −0.0298992 | ||||||||
\(773\) | −17.0042 | + | 29.4522i | −0.611600 | + | 1.05932i | 0.379371 | + | 0.925245i | \(0.376140\pi\) |
−0.990971 | + | 0.134078i | \(0.957193\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 12.3814 | + | 21.4452i | 0.444754 | + | 0.770336i | ||||
\(776\) | −20.1548 | + | 34.9091i | −0.723514 | + | 1.25316i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −16.3836 | − | 28.3772i | −0.587380 | − | 1.01737i | ||||
\(779\) | 12.0440 | − | 20.8608i | 0.431522 | − | 0.747417i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 4.62684 | + | 8.01392i | 0.165561 | + | 0.286761i | ||||
\(782\) | −1.75868 | − | 3.04613i | −0.0628904 | − | 0.108929i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −16.2596 | + | 27.7248i | −0.580700 | + | 0.990170i | ||||
\(785\) | 9.58523 | − | 16.6021i | 0.342111 | − | 0.592554i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −29.1059 | −1.03751 | −0.518757 | − | 0.854921i | \(-0.673605\pi\) | ||||
−0.518757 | + | 0.854921i | \(0.673605\pi\) | |||||||
\(788\) | −1.82787 | −0.0651151 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −13.2763 | + | 22.9953i | −0.472351 | + | 0.818135i | ||||
\(791\) | 10.7173 | + | 6.23636i | 0.381062 | + | 0.221739i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0.577649 | + | 1.00052i | 0.0205129 | + | 0.0355294i | ||||
\(794\) | −1.71757 | − | 2.97493i | −0.0609544 | − | 0.105576i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 1.79609 | − | 3.11093i | 0.0636609 | − | 0.110264i | ||||
\(797\) | −9.25192 | − | 16.0248i | −0.327720 | − | 0.567627i | 0.654339 | − | 0.756201i | \(-0.272947\pi\) |
−0.982059 | + | 0.188574i | \(0.939613\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 4.83377 | − | 8.37234i | 0.171007 | − | 0.296192i | ||||
\(800\) | −5.01524 | − | 8.68665i | −0.177316 | − | 0.307120i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −6.71231 | + | 11.6261i | −0.237020 | + | 0.410531i | ||||
\(803\) | −88.6162 | −3.12720 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 5.95262 | + | 3.46382i | 0.209802 | + | 0.122084i | ||||
\(806\) | 1.38135 | + | 2.39257i | 0.0486559 | + | 0.0842745i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 3.78720 | + | 6.55962i | 0.133233 | + | 0.230767i | ||||
\(809\) | 20.5407 | − | 35.5775i | 0.722172 | − | 1.25084i | −0.237956 | − | 0.971276i | \(-0.576477\pi\) |
0.960128 | − | 0.279562i | \(-0.0901892\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −43.1361 | −1.51471 | −0.757357 | − | 0.653001i | \(-0.773510\pi\) | ||||
−0.757357 | + | 0.653001i | \(0.773510\pi\) | |||||||
\(812\) | −0.0139068 | + | 4.08506i | −0.000488033 | + | 0.143357i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 33.0860 | − | 57.3066i | 1.15966 | − | 2.00859i | ||||
\(815\) | 12.1650 | 0.426120 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 56.9034 | 1.99080 | ||||||||
\(818\) | 44.0859 | 1.54143 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −3.79641 | −0.132576 | ||||||||
\(821\) | −13.1748 | −0.459802 | −0.229901 | − | 0.973214i | \(-0.573840\pi\) | ||||
−0.229901 | + | 0.973214i | \(0.573840\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −11.9817 | −0.417654 | −0.208827 | − | 0.977953i | \(-0.566965\pi\) | ||||
−0.208827 | + | 0.977953i | \(0.566965\pi\) | |||||||
\(824\) | −12.2407 | + | 21.2016i | −0.426427 | + | 0.738592i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 8.46173 | − | 4.84705i | 0.294421 | − | 0.168650i | ||||
\(827\) | −29.9879 | −1.04278 | −0.521391 | − | 0.853318i | \(-0.674587\pi\) | ||||
−0.521391 | + | 0.853318i | \(0.674587\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −13.4619 | + | 23.3167i | −0.467551 | + | 0.809822i | −0.999313 | − | 0.0370721i | \(-0.988197\pi\) |
0.531762 | + | 0.846894i | \(0.321530\pi\) | |||||||
\(830\) | −31.6208 | − | 54.7688i | −1.09757 | − | 1.90105i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 1.09758 | + | 1.90106i | 0.0380517 | + | 0.0659074i | ||||
\(833\) | −9.60410 | − | 16.8995i | −0.332762 | − | 0.585532i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −11.1728 | −0.386650 | ||||||||
\(836\) | 7.50142 | − | 12.9928i | 0.259442 | − | 0.449367i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −6.64117 | − | 11.5029i | −0.229416 | − | 0.397359i | ||||
\(839\) | −5.61191 | + | 9.72012i | −0.193745 | + | 0.335576i | −0.946488 | − | 0.322738i | \(-0.895397\pi\) |
0.752744 | + | 0.658314i | \(0.228730\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 5.34853 | + | 9.26393i | 0.184432 | + | 0.319446i | ||||
\(842\) | 14.1874 | − | 24.5734i | 0.488932 | − | 0.846855i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 4.20465 | + | 7.28267i | 0.144730 | + | 0.250680i | ||||
\(845\) | −20.3188 | − | 35.1932i | −0.698988 | − | 1.21068i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −0.198628 | + | 58.3460i | −0.00682494 | + | 2.00479i | ||||
\(848\) | 6.69321 | − | 11.5930i | 0.229846 | − | 0.398104i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 21.2074 | 0.727408 | ||||||||
\(851\) | 6.17529 | 0.211686 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 6.09672 | − | 10.5598i | 0.208748 | − | 0.361562i | −0.742573 | − | 0.669766i | \(-0.766395\pi\) |
0.951320 | + | 0.308204i | \(0.0997279\pi\) | |||||||
\(854\) | −11.2920 | + | 6.46830i | −0.386405 | + | 0.221341i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 13.1268 | + | 22.7363i | 0.448666 | + | 0.777112i | ||||
\(857\) | −18.7191 | − | 32.4225i | −0.639433 | − | 1.10753i | −0.985557 | − | 0.169341i | \(-0.945836\pi\) |
0.346125 | − | 0.938188i | \(-0.387497\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −0.378867 | + | 0.656216i | −0.0129268 | + | 0.0223898i | −0.872416 | − | 0.488763i | \(-0.837448\pi\) |
0.859490 | + | 0.511153i | \(0.170781\pi\) | |||||||
\(860\) | −4.48415 | − | 7.76678i | −0.152908 | − | 0.264845i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 4.46157 | − | 7.72767i | 0.151962 | − | 0.263205i | ||||
\(863\) | 11.7796 | + | 20.4029i | 0.400983 | + | 0.694522i | 0.993845 | − | 0.110782i | \(-0.0353354\pi\) |
−0.592862 | + | 0.805304i | \(0.702002\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 15.5569 | − | 26.9453i | 0.528949 | − | 0.916167i | ||||
\(866\) | −5.59106 | −0.189992 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −4.12785 | + | 2.36452i | −0.140108 | + | 0.0802569i | ||||
\(869\) | −15.7321 | − | 27.2487i | −0.533673 | − | 0.924349i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.342728 | + | 0.593622i | 0.0116129 | + | 0.0201141i | ||||
\(872\) | 5.88609 | − | 10.1950i | 0.199328 | − | 0.345247i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 9.15892 | 0.309805 | ||||||||
\(875\) | 0.214041 | − | 0.122607i | 0.00723592 | − | 0.00414488i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −18.3370 | + | 31.7606i | −0.619196 | + | 1.07248i | 0.370437 | + | 0.928857i | \(0.379208\pi\) |
−0.989633 | + | 0.143621i | \(0.954125\pi\) | |||||||
\(878\) | 28.6744 | 0.967716 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 83.3532 | 2.80984 | ||||||||
\(881\) | 39.4357 | 1.32862 | 0.664311 | − | 0.747456i | \(-0.268725\pi\) | ||||
0.664311 | + | 0.747456i | \(0.268725\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −8.76912 | −0.295105 | −0.147552 | − | 0.989054i | \(-0.547139\pi\) | ||||
−0.147552 | + | 0.989054i | \(0.547139\pi\) | |||||||
\(884\) | 0.361688 | 0.0121649 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −40.0895 | −1.34683 | ||||||||
\(887\) | 3.91300 | − | 6.77752i | 0.131386 | − | 0.227567i | −0.792825 | − | 0.609449i | \(-0.791391\pi\) |
0.924211 | + | 0.381882i | \(0.124724\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −21.0281 | + | 12.0453i | −0.705259 | + | 0.403986i | ||||
\(890\) | 69.2230 | 2.32036 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 2.14294 | − | 3.71168i | 0.0717508 | − | 0.124276i | ||||
\(893\) | 12.5867 | + | 21.8008i | 0.421199 | + | 0.729537i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 31.4136 | + | 54.4100i | 1.05004 | + | 1.81872i | ||||
\(896\) | −30.7215 | + | 17.5979i | −1.02633 | + | 0.587905i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −8.66329 | −0.289098 | ||||||||
\(899\) | 10.6569 | − | 18.4584i | 0.355429 | − | 0.615621i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 4.04786 | + | 7.01109i | 0.134854 | + | 0.233573i | ||||
\(902\) | 14.7142 | − | 25.4858i | 0.489930 | − | 0.848584i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 5.90167 | + | 10.2220i | 0.196287 | + | 0.339978i | ||||
\(905\) | 19.0925 | − | 33.0692i | 0.634657 | − | 1.09926i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −25.9666 | − | 44.9755i | −0.862208 | − | 1.49339i | −0.869793 | − | 0.493416i | \(-0.835748\pi\) |
0.00758572 | − | 0.999971i | \(-0.497585\pi\) | |||||||
\(908\) | 1.07564 | + | 1.86306i | 0.0356963 | + | 0.0618279i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −4.01993 | + | 2.30270i | −0.133259 | + | 0.0763336i | ||||
\(911\) | 18.0762 | − | 31.3089i | 0.598891 | − | 1.03731i | −0.394094 | − | 0.919070i | \(-0.628941\pi\) |
0.992985 | − | 0.118240i | \(-0.0377252\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 74.9394 | 2.48013 | ||||||||
\(914\) | 30.7187 | 1.01608 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 4.28043 | − | 7.41393i | 0.141429 | − | 0.244963i | ||||
\(917\) | 0.0829684 | − | 24.3716i | 0.00273986 | − | 0.804821i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 5.58842 | + | 9.67942i | 0.184345 | + | 0.319295i | 0.943356 | − | 0.331783i | \(-0.107650\pi\) |
−0.759011 | + | 0.651078i | \(0.774317\pi\) | |||||||
\(920\) | 3.27793 | + | 5.67754i | 0.108070 | + | 0.187183i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −28.7710 | + | 49.8328i | −0.947522 | + | 1.64116i | ||||
\(923\) | −0.290450 | − | 0.503074i | −0.00956028 | − | 0.0165589i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −18.6165 | + | 32.2447i | −0.612106 | + | 1.06020i | ||||
\(926\) | 1.88618 | + | 3.26696i | 0.0619837 | + | 0.107359i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −4.31673 | + | 7.47679i | −0.141703 | + | 0.245438i | ||||
\(929\) | −32.8384 | −1.07739 | −0.538696 | − | 0.842500i | \(-0.681083\pi\) | ||||
−0.538696 | + | 0.842500i | \(0.681083\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 50.6134 | + | 0.344611i | 1.65879 | + | 0.0112942i | ||||
\(932\) | −2.50092 | − | 4.33173i | −0.0819205 | − | 0.141890i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −25.6682 | − | 44.4586i | −0.839889 | − | 1.45473i | ||||
\(935\) | −25.2048 | + | 43.6560i | −0.824285 | + | 1.42770i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −25.9566 | −0.847965 | −0.423983 | − | 0.905670i | \(-0.639368\pi\) | ||||
−0.423983 | + | 0.905670i | \(0.639368\pi\) | |||||||
\(938\) | −6.69972 | + | 3.83774i | −0.218754 | + | 0.125307i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 1.98374 | − | 3.43594i | 0.0647024 | − | 0.112068i | ||||
\(941\) | −29.4679 | −0.960627 | −0.480314 | − | 0.877097i | \(-0.659477\pi\) | ||||
−0.480314 | + | 0.877097i | \(0.659477\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 2.74632 | 0.0894326 | ||||||||
\(944\) | 11.0141 | 0.358479 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 69.5192 | 2.26026 | ||||||||
\(947\) | 11.5227 | 0.374439 | 0.187219 | − | 0.982318i | \(-0.440052\pi\) | ||||
0.187219 | + | 0.982318i | \(0.440052\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 5.56289 | 0.180579 | ||||||||
\(950\) | −27.6111 | + | 47.8239i | −0.895824 | + | 1.55161i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0.0629898 | − | 18.5030i | 0.00204151 | − | 0.599684i | ||||
\(953\) | −29.2912 | −0.948835 | −0.474417 | − | 0.880300i | \(-0.657341\pi\) | ||||
−0.474417 | + | 0.880300i | \(0.657341\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −15.3454 | + | 26.5790i | −0.496565 | + | 0.860076i | ||||
\(956\) | 4.03176 | + | 6.98321i | 0.130396 | + | 0.225853i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −26.6537 | − | 46.1656i | −0.861144 | − | 1.49154i | ||||
\(959\) | 15.6058 | + | 9.08099i | 0.503937 | + | 0.293240i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −6.17981 | −0.199349 | ||||||||
\(962\) | −2.07697 | + | 3.59742i | −0.0669643 | + | 0.115985i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −1.75411 | − | 3.03820i | −0.0564959 | − | 0.0978538i | ||||
\(965\) | −3.63417 | + | 6.29457i | −0.116988 | + | 0.202629i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −21.0402 | − | 36.4427i | −0.676606 | − | 1.17192i | −0.975997 | − | 0.217786i | \(-0.930117\pi\) |
0.299390 | − | 0.954131i | \(-0.403217\pi\) | |||||||
\(968\) | −27.7702 | + | 48.0993i | −0.892567 | + | 1.54597i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −38.8268 | − | 67.2500i | −1.24665 | − | 2.15927i | ||||
\(971\) | −17.5774 | − | 30.4450i | −0.564087 | − | 0.977027i | −0.997134 | − | 0.0756560i | \(-0.975895\pi\) |
0.433047 | − | 0.901371i | \(-0.357438\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 13.0040 | + | 7.56703i | 0.416890 | + | 0.242588i | ||||
\(974\) | 0.737391 | − | 1.27720i | 0.0236275 | − | 0.0409241i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −14.6981 | −0.470476 | ||||||||
\(977\) | 4.43025 | 0.141736 | 0.0708682 | − | 0.997486i | \(-0.477423\pi\) | ||||
0.0708682 | + | 0.997486i | \(0.477423\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −41.0136 | + | 71.0376i | −1.31080 | + | 2.27037i | ||||
\(980\) | −3.94144 | − | 6.93540i | −0.125905 | − | 0.221543i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −12.1184 | − | 20.9897i | −0.386714 | − | 0.669809i | ||||
\(983\) | 11.0801 | + | 19.1912i | 0.353399 | + | 0.612105i | 0.986843 | − | 0.161684i | \(-0.0516925\pi\) |
−0.633444 | + | 0.773789i | \(0.718359\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −7.99616 | + | 13.8498i | −0.254779 | + | 0.441290i | ||||
\(986\) | −9.12684 | − | 15.8081i | −0.290658 | − | 0.503434i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −0.470902 | + | 0.815626i | −0.0149814 | + | 0.0259485i | ||||
\(989\) | 3.24383 | + | 5.61848i | 0.103148 | + | 0.178657i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 18.3602 | − | 31.8007i | 0.583229 | − | 1.01018i | −0.411864 | − | 0.911245i | \(-0.635122\pi\) |
0.995094 | − | 0.0989378i | \(-0.0315445\pi\) | |||||||
\(992\) | −10.0537 | −0.319206 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 5.67778 | − | 3.25235i | 0.180088 | − | 0.103158i | ||||
\(995\) | −15.7143 | − | 27.2180i | −0.498178 | − | 0.862869i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 19.9515 | + | 34.5571i | 0.631872 | + | 1.09443i | 0.987169 | + | 0.159681i | \(0.0510464\pi\) |
−0.355297 | + | 0.934753i | \(0.615620\pi\) | |||||||
\(998\) | −14.6959 | + | 25.4540i | −0.465190 | + | 0.805733i | ||||
\(999\) | 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 | 567.2.h.j.298.2 | 8 | ||
3.2 | odd | 2 | 567.2.h.k.298.3 | 8 | |||
7.2 | even | 3 | 567.2.g.k.541.3 | 8 | |||
9.2 | odd | 6 | 567.2.e.c.487.2 | yes | 8 | ||
9.4 | even | 3 | 567.2.g.k.109.3 | 8 | |||
9.5 | odd | 6 | 567.2.g.j.109.2 | 8 | |||
9.7 | even | 3 | 567.2.e.d.487.3 | yes | 8 | ||
21.2 | odd | 6 | 567.2.g.j.541.2 | 8 | |||
63.2 | odd | 6 | 567.2.e.c.163.2 | ✓ | 8 | ||
63.11 | odd | 6 | 3969.2.a.x.1.3 | 4 | |||
63.16 | even | 3 | 567.2.e.d.163.3 | yes | 8 | ||
63.23 | odd | 6 | 567.2.h.k.352.3 | 8 | |||
63.25 | even | 3 | 3969.2.a.s.1.2 | 4 | |||
63.38 | even | 6 | 3969.2.a.w.1.3 | 4 | |||
63.52 | odd | 6 | 3969.2.a.t.1.2 | 4 | |||
63.58 | even | 3 | inner | 567.2.h.j.352.2 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
567.2.e.c.163.2 | ✓ | 8 | 63.2 | odd | 6 | ||
567.2.e.c.487.2 | yes | 8 | 9.2 | odd | 6 | ||
567.2.e.d.163.3 | yes | 8 | 63.16 | even | 3 | ||
567.2.e.d.487.3 | yes | 8 | 9.7 | even | 3 | ||
567.2.g.j.109.2 | 8 | 9.5 | odd | 6 | |||
567.2.g.j.541.2 | 8 | 21.2 | odd | 6 | |||
567.2.g.k.109.3 | 8 | 9.4 | even | 3 | |||
567.2.g.k.541.3 | 8 | 7.2 | even | 3 | |||
567.2.h.j.298.2 | 8 | 1.1 | even | 1 | trivial | ||
567.2.h.j.352.2 | 8 | 63.58 | even | 3 | inner | ||
567.2.h.k.298.3 | 8 | 3.2 | odd | 2 | |||
567.2.h.k.352.3 | 8 | 63.23 | odd | 6 | |||
3969.2.a.s.1.2 | 4 | 63.25 | even | 3 | |||
3969.2.a.t.1.2 | 4 | 63.52 | odd | 6 | |||
3969.2.a.w.1.3 | 4 | 63.38 | even | 6 | |||
3969.2.a.x.1.3 | 4 | 63.11 | odd | 6 |