Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [450,2,Mod(91,450)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(450, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("450.91");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 450 = 2 \cdot 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 450.h (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.59326809096\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - x^{11} + 6 x^{10} - 26 x^{9} + 61 x^{8} - 120 x^{7} + 465 x^{6} - 600 x^{5} + 1525 x^{4} + \cdots + 15625 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 181.2 | ||
Root | \(-1.01542 + 1.99221i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 450.181 |
Dual form | 450.2.h.g.271.2 |
$q$-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 \(\left(\mathbb{Z}/450\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.309017 | − | 0.951057i | −0.218508 | − | 0.672499i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.809017 | + | 0.587785i | −0.404508 | + | 0.293893i | ||||
\(5\) | 1.01542 | − | 1.99221i | 0.454111 | − | 0.890945i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 4.77988 | 1.80663 | 0.903313 | − | 0.428982i | \(-0.141128\pi\) | ||||
0.903313 | + | 0.428982i | \(0.141128\pi\) | |||||||
\(8\) | 0.809017 | + | 0.587785i | 0.286031 | + | 0.207813i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −2.20849 | − | 0.350097i | −0.698386 | − | 0.110710i | ||||
\(11\) | 0.0788401 | + | 0.242645i | 0.0237712 | + | 0.0731602i | 0.962238 | − | 0.272208i | \(-0.0877540\pi\) |
−0.938467 | + | 0.345368i | \(0.887754\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.32444 | + | 4.07621i | −0.367334 | + | 1.13054i | 0.581173 | + | 0.813780i | \(0.302594\pi\) |
−0.948507 | + | 0.316757i | \(0.897406\pi\) | |||||||
\(14\) | −1.47707 | − | 4.54594i | −0.394762 | − | 1.21495i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.309017 | − | 0.951057i | 0.0772542 | − | 0.237764i | ||||
\(17\) | 1.88650 | + | 1.37063i | 0.457545 | + | 0.332426i | 0.792567 | − | 0.609784i | \(-0.208744\pi\) |
−0.335023 | + | 0.942210i | \(0.608744\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.12141 | + | 0.814750i | 0.257268 | + | 0.186916i | 0.708942 | − | 0.705267i | \(-0.249173\pi\) |
−0.451673 | + | 0.892183i | \(0.649173\pi\) | |||||||
\(20\) | 0.349499 | + | 2.20859i | 0.0781504 | + | 0.493855i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.206406 | − | 0.149963i | 0.0440059 | − | 0.0319722i | ||||
\(23\) | −2.31110 | − | 7.11284i | −0.481898 | − | 1.48313i | −0.836424 | − | 0.548083i | \(-0.815358\pi\) |
0.354526 | − | 0.935046i | \(-0.384642\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.93783 | − | 4.04588i | −0.587566 | − | 0.809176i | ||||
\(26\) | 4.28598 | 0.840549 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −3.86701 | + | 2.80955i | −0.730796 | + | 0.530954i | ||||
\(29\) | 5.13892 | − | 3.73364i | 0.954273 | − | 0.693320i | 0.00245906 | − | 0.999997i | \(-0.499217\pi\) |
0.951814 | + | 0.306677i | \(0.0992173\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.143093 | − | 0.103963i | −0.0257003 | − | 0.0186724i | 0.574861 | − | 0.818251i | \(-0.305056\pi\) |
−0.600561 | + | 0.799579i | \(0.705056\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.720581 | − | 2.21772i | 0.123579 | − | 0.380336i | ||||
\(35\) | 4.85360 | − | 9.52255i | 0.820409 | − | 1.60960i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.57499 | − | 4.84733i | 0.258927 | − | 0.796897i | −0.734103 | − | 0.679038i | \(-0.762397\pi\) |
0.993030 | − | 0.117859i | \(-0.0376029\pi\) | |||||||
\(38\) | 0.428339 | − | 1.31829i | 0.0694858 | − | 0.213855i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.99249 | − | 1.01488i | 0.315040 | − | 0.160467i | ||||
\(41\) | 0.681411 | − | 2.09717i | 0.106419 | − | 0.327523i | −0.883642 | − | 0.468163i | \(-0.844916\pi\) |
0.990061 | + | 0.140640i | \(0.0449161\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.60976 | −0.550483 | −0.275241 | − | 0.961375i | \(-0.588758\pi\) | ||||
−0.275241 | + | 0.961375i | \(0.588758\pi\) | |||||||
\(44\) | −0.206406 | − | 0.149963i | −0.0311169 | − | 0.0226077i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −6.05054 | + | 4.39598i | −0.892104 | + | 0.648151i | ||||
\(47\) | −6.09086 | + | 4.42527i | −0.888443 | + | 0.645491i | −0.935472 | − | 0.353402i | \(-0.885025\pi\) |
0.0470287 | + | 0.998894i | \(0.485025\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 15.8473 | 2.26390 | ||||||||
\(50\) | −2.94002 | + | 4.04429i | −0.415782 | + | 0.571949i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −1.32444 | − | 4.07621i | −0.183667 | − | 0.565268i | ||||
\(53\) | −10.9208 | + | 7.93444i | −1.50009 | + | 1.08988i | −0.529744 | + | 0.848157i | \(0.677712\pi\) |
−0.970346 | + | 0.241722i | \(0.922288\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.563457 | + | 0.0893209i | 0.0759765 | + | 0.0120440i | ||||
\(56\) | 3.86701 | + | 2.80955i | 0.516751 | + | 0.375441i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −5.13892 | − | 3.73364i | −0.674773 | − | 0.490251i | ||||
\(59\) | −2.20360 | + | 6.78199i | −0.286884 | + | 0.882940i | 0.698943 | + | 0.715177i | \(0.253654\pi\) |
−0.985827 | + | 0.167762i | \(0.946346\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.67232 | + | 11.3022i | 0.470192 | + | 1.44710i | 0.852333 | + | 0.522999i | \(0.175187\pi\) |
−0.382141 | + | 0.924104i | \(0.624813\pi\) | |||||||
\(62\) | −0.0546567 | + | 0.168216i | −0.00694141 | + | 0.0213635i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.309017 | + | 0.951057i | 0.0386271 | + | 0.118882i | ||||
\(65\) | 6.77581 | + | 6.77764i | 0.840436 | + | 0.840663i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −6.44701 | − | 4.68403i | −0.787628 | − | 0.572245i | 0.119631 | − | 0.992818i | \(-0.461829\pi\) |
−0.907259 | + | 0.420573i | \(0.861829\pi\) | |||||||
\(68\) | −2.33185 | −0.282778 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −10.5563 | − | 1.67342i | −1.26172 | − | 0.200012i | ||||
\(71\) | −8.27651 | + | 6.01324i | −0.982241 | + | 0.713640i | −0.958208 | − | 0.286071i | \(-0.907651\pi\) |
−0.0240327 | + | 0.999711i | \(0.507651\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.98300 | − | 9.18072i | −0.349133 | − | 1.07452i | −0.959334 | − | 0.282275i | \(-0.908911\pi\) |
0.610200 | − | 0.792247i | \(-0.291089\pi\) | |||||||
\(74\) | −5.09679 | −0.592490 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.38614 | −0.159001 | ||||||||
\(77\) | 0.376847 | + | 1.15981i | 0.0429457 | + | 0.132173i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.91479 | − | 2.11772i | 0.327940 | − | 0.238262i | −0.411616 | − | 0.911357i | \(-0.635036\pi\) |
0.739556 | + | 0.673095i | \(0.235036\pi\) | |||||||
\(80\) | −1.58092 | − | 1.58135i | −0.176753 | − | 0.176801i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −2.20509 | −0.243512 | ||||||||
\(83\) | 12.8830 | + | 9.36002i | 1.41409 | + | 1.02740i | 0.992712 | + | 0.120510i | \(0.0384528\pi\) |
0.421376 | + | 0.906886i | \(0.361547\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 4.64618 | − | 2.36656i | 0.503949 | − | 0.256689i | ||||
\(86\) | 1.11548 | + | 3.43308i | 0.120285 | + | 0.370199i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.0788401 | + | 0.242645i | −0.00840439 | + | 0.0258660i | ||||
\(89\) | −3.45616 | − | 10.6370i | −0.366353 | − | 1.12752i | −0.949130 | − | 0.314885i | \(-0.898034\pi\) |
0.582777 | − | 0.812632i | \(-0.301966\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −6.33067 | + | 19.4838i | −0.663635 | + | 2.04246i | ||||
\(92\) | 6.05054 | + | 4.39598i | 0.630813 | + | 0.458312i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 6.09086 | + | 4.42527i | 0.628224 | + | 0.456431i | ||||
\(95\) | 2.76186 | − | 1.40677i | 0.283361 | − | 0.144331i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 12.7454 | − | 9.26005i | 1.29410 | − | 0.940215i | 0.294216 | − | 0.955739i | \(-0.404941\pi\) |
0.999880 | + | 0.0155234i | \(0.00494146\pi\) | |||||||
\(98\) | −4.89708 | − | 15.0717i | −0.494680 | − | 1.52247i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 4.75486 | + | 1.54637i | 0.475486 | + | 0.154637i | ||||
\(101\) | 3.41302 | 0.339608 | 0.169804 | − | 0.985478i | \(-0.445687\pi\) | ||||
0.169804 | + | 0.985478i | \(0.445687\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −11.9975 | + | 8.71669i | −1.18215 | + | 0.858881i | −0.992412 | − | 0.122954i | \(-0.960763\pi\) |
−0.189736 | + | 0.981835i | \(0.560763\pi\) | |||||||
\(104\) | −3.46743 | + | 2.51923i | −0.340009 | + | 0.247031i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 10.9208 | + | 7.93444i | 1.06072 | + | 0.770661i | ||||
\(107\) | −13.4355 | −1.29886 | −0.649430 | − | 0.760421i | \(-0.724992\pi\) | ||||
−0.649430 | + | 0.760421i | \(0.724992\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −0.138411 | + | 0.425985i | −0.0132574 | + | 0.0408020i | −0.957466 | − | 0.288545i | \(-0.906829\pi\) |
0.944209 | + | 0.329347i | \(0.106829\pi\) | |||||||
\(110\) | −0.0891685 | − | 0.563481i | −0.00850188 | − | 0.0537258i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 1.47707 | − | 4.54594i | 0.139570 | − | 0.429551i | ||||
\(113\) | −3.81333 | + | 11.7362i | −0.358728 | + | 1.10405i | 0.595089 | + | 0.803660i | \(0.297117\pi\) |
−0.953816 | + | 0.300390i | \(0.902883\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −16.5170 | − | 2.61833i | −1.54022 | − | 0.244161i | ||||
\(116\) | −1.96289 | + | 6.04116i | −0.182250 | + | 0.560907i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 7.13100 | 0.656462 | ||||||||
\(119\) | 9.01727 | + | 6.55143i | 0.826612 | + | 0.600569i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 8.84653 | − | 6.42738i | 0.804230 | − | 0.584307i | ||||
\(122\) | 9.61426 | − | 6.98517i | 0.870434 | − | 0.632407i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.176873 | 0.0158837 | ||||||||
\(125\) | −11.0434 | + | 1.74451i | −0.987752 | + | 0.156034i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.934486 | − | 2.87605i | −0.0829222 | − | 0.255208i | 0.900996 | − | 0.433827i | \(-0.142837\pi\) |
−0.983918 | + | 0.178619i | \(0.942837\pi\) | |||||||
\(128\) | 0.809017 | − | 0.587785i | 0.0715077 | − | 0.0519534i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 4.35208 | − | 8.53859i | 0.381703 | − | 0.748883i | ||||
\(131\) | 7.66726 | + | 5.57059i | 0.669891 | + | 0.486705i | 0.869989 | − | 0.493071i | \(-0.164126\pi\) |
−0.200097 | + | 0.979776i | \(0.564126\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 5.36020 | + | 3.89441i | 0.464788 | + | 0.337688i | ||||
\(134\) | −2.46254 | + | 7.57892i | −0.212731 | + | 0.654719i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.720581 | + | 2.21772i | 0.0617893 | + | 0.190168i | ||||
\(137\) | −5.12674 | + | 15.7785i | −0.438007 | + | 1.34805i | 0.451966 | + | 0.892035i | \(0.350723\pi\) |
−0.889973 | + | 0.456012i | \(0.849277\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 6.07920 | + | 18.7099i | 0.515631 | + | 1.58695i | 0.782130 | + | 0.623115i | \(0.214133\pi\) |
−0.266499 | + | 0.963835i | \(0.585867\pi\) | |||||||
\(140\) | 1.67057 | + | 10.5568i | 0.141189 | + | 0.892211i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 8.27651 | + | 6.01324i | 0.694549 | + | 0.504620i | ||||
\(143\) | −1.09349 | −0.0914423 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −2.22004 | − | 14.0290i | −0.184364 | − | 1.16505i | ||||
\(146\) | −7.80959 | + | 5.67400i | −0.646326 | + | 0.469583i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 1.57499 | + | 4.84733i | 0.129464 | + | 0.398448i | ||||
\(149\) | 9.63897 | 0.789655 | 0.394828 | − | 0.918755i | \(-0.370804\pi\) | ||||
0.394828 | + | 0.918755i | \(0.370804\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.871365 | 0.0709107 | 0.0354553 | − | 0.999371i | \(-0.488712\pi\) | ||||
0.0354553 | + | 0.999371i | \(0.488712\pi\) | |||||||
\(152\) | 0.428339 | + | 1.31829i | 0.0347429 | + | 0.106928i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.986597 | − | 0.716805i | 0.0795023 | − | 0.0577618i | ||||
\(155\) | −0.352417 | + | 0.179506i | −0.0283068 | + | 0.0144182i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.581370 | 0.0463984 | 0.0231992 | − | 0.999731i | \(-0.492615\pi\) | ||||
0.0231992 | + | 0.999731i | \(0.492615\pi\) | |||||||
\(158\) | −2.91479 | − | 2.11772i | −0.231888 | − | 0.168477i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.01542 | + | 1.99221i | −0.0802762 | + | 0.157498i | ||||
\(161\) | −11.0468 | − | 33.9985i | −0.870610 | − | 2.67946i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −6.02188 | + | 18.5334i | −0.471670 | + | 1.45165i | 0.378726 | + | 0.925509i | \(0.376362\pi\) |
−0.850396 | + | 0.526143i | \(0.823638\pi\) | |||||||
\(164\) | 0.681411 | + | 2.09717i | 0.0532093 | + | 0.163761i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 4.92085 | − | 15.1448i | 0.381932 | − | 1.17547i | ||||
\(167\) | −10.1158 | − | 7.34954i | −0.782782 | − | 0.568724i | 0.123031 | − | 0.992403i | \(-0.460739\pi\) |
−0.905813 | + | 0.423678i | \(0.860739\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −4.34411 | − | 3.15618i | −0.334162 | − | 0.242783i | ||||
\(170\) | −3.68648 | − | 3.68747i | −0.282740 | − | 0.282816i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 2.92036 | − | 2.12176i | 0.222675 | − | 0.161783i | ||||
\(173\) | 2.18139 | + | 6.71363i | 0.165848 | + | 0.510428i | 0.999098 | − | 0.0424690i | \(-0.0135224\pi\) |
−0.833250 | + | 0.552897i | \(0.813522\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −14.0425 | − | 19.3388i | −1.06151 | − | 1.46188i | ||||
\(176\) | 0.255132 | 0.0192313 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −9.04835 | + | 6.57401i | −0.678203 | + | 0.492743i | ||||
\(179\) | 4.07732 | − | 2.96235i | 0.304753 | − | 0.221416i | −0.424889 | − | 0.905246i | \(-0.639687\pi\) |
0.729642 | + | 0.683829i | \(0.239687\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −4.90348 | − | 3.56259i | −0.364473 | − | 0.264805i | 0.390442 | − | 0.920627i | \(-0.372322\pi\) |
−0.754915 | + | 0.655822i | \(0.772322\pi\) | |||||||
\(182\) | 20.4865 | 1.51856 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 2.31110 | − | 7.11284i | 0.170377 | − | 0.524366i | ||||
\(185\) | −8.05764 | − | 8.05982i | −0.592409 | − | 0.592570i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.183843 | + | 0.565811i | −0.0134439 | + | 0.0413762i | ||||
\(188\) | 2.32650 | − | 7.16023i | 0.169677 | − | 0.522214i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −2.19138 | − | 2.19197i | −0.158979 | − | 0.159022i | ||||
\(191\) | 3.41938 | − | 10.5238i | 0.247417 | − | 0.761472i | −0.747812 | − | 0.663910i | \(-0.768896\pi\) |
0.995229 | − | 0.0975619i | \(-0.0311044\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −5.05915 | −0.364166 | −0.182083 | − | 0.983283i | \(-0.558284\pi\) | ||||
−0.182083 | + | 0.983283i | \(0.558284\pi\) | |||||||
\(194\) | −12.7454 | − | 9.26005i | −0.915064 | − | 0.664833i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −12.8207 | + | 9.31480i | −0.915766 | + | 0.665343i | ||||
\(197\) | 11.7506 | − | 8.53731i | 0.837196 | − | 0.608258i | −0.0843901 | − | 0.996433i | \(-0.526894\pi\) |
0.921586 | + | 0.388174i | \(0.126894\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −13.3511 | −0.946435 | −0.473217 | − | 0.880946i | \(-0.656907\pi\) | ||||
−0.473217 | + | 0.880946i | \(0.656907\pi\) | |||||||
\(200\) | 0.00135278 | − | 5.00000i | 9.56561e−5 | − | 0.353553i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −1.05468 | − | 3.24598i | −0.0742071 | − | 0.228386i | ||||
\(203\) | 24.5634 | − | 17.8464i | 1.72401 | − | 1.25257i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −3.48609 | − | 3.48703i | −0.243479 | − | 0.243545i | ||||
\(206\) | 11.9975 | + | 8.71669i | 0.835905 | + | 0.607320i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 3.46743 | + | 2.51923i | 0.240423 | + | 0.174678i | ||||
\(209\) | −0.109283 | + | 0.336339i | −0.00755927 | + | 0.0232650i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1.71381 | − | 5.27458i | −0.117984 | − | 0.363117i | 0.874574 | − | 0.484892i | \(-0.161141\pi\) |
−0.992558 | + | 0.121776i | \(0.961141\pi\) | |||||||
\(212\) | 4.17138 | − | 12.8382i | 0.286492 | − | 0.881731i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 4.15180 | + | 12.7779i | 0.283811 | + | 0.873481i | ||||
\(215\) | −3.66543 | + | 7.19141i | −0.249980 | + | 0.490450i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.683969 | − | 0.496932i | −0.0464308 | − | 0.0337340i | ||||
\(218\) | 0.447908 | 0.0303361 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.508348 | + | 0.258929i | −0.0342728 | + | 0.0174570i | ||||
\(221\) | −8.08552 | + | 5.87447i | −0.543891 | + | 0.395160i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −6.70440 | − | 20.6340i | −0.448960 | − | 1.38176i | −0.878082 | − | 0.478510i | \(-0.841177\pi\) |
0.429123 | − | 0.903246i | \(-0.358823\pi\) | |||||||
\(224\) | −4.77988 | −0.319369 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 12.3402 | 0.820857 | ||||||||
\(227\) | −5.19025 | − | 15.9739i | −0.344489 | − | 1.06023i | −0.961857 | − | 0.273554i | \(-0.911801\pi\) |
0.617368 | − | 0.786675i | \(-0.288199\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −2.63764 | + | 1.91635i | −0.174300 | + | 0.126636i | −0.671515 | − | 0.740991i | \(-0.734356\pi\) |
0.497215 | + | 0.867627i | \(0.334356\pi\) | |||||||
\(230\) | 2.61386 | + | 16.5178i | 0.172353 | + | 1.08915i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 6.35205 | 0.417032 | ||||||||
\(233\) | 11.0981 | + | 8.06322i | 0.727059 | + | 0.528239i | 0.888632 | − | 0.458621i | \(-0.151657\pi\) |
−0.161573 | + | 0.986861i | \(0.551657\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2.63128 | + | 16.6278i | 0.171646 | + | 1.08468i | ||||
\(236\) | −2.20360 | − | 6.78199i | −0.143442 | − | 0.441470i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 3.44429 | − | 10.6004i | 0.223260 | − | 0.687124i | ||||
\(239\) | 5.42303 | + | 16.6904i | 0.350786 | + | 1.07961i | 0.958413 | + | 0.285386i | \(0.0921219\pi\) |
−0.607626 | + | 0.794223i | \(0.707878\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −1.72397 | + | 5.30582i | −0.111050 | + | 0.341778i | −0.991103 | − | 0.133099i | \(-0.957507\pi\) |
0.880052 | + | 0.474877i | \(0.157507\pi\) | |||||||
\(242\) | −8.84653 | − | 6.42738i | −0.568676 | − | 0.413167i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −9.61426 | − | 6.98517i | −0.615490 | − | 0.447179i | ||||
\(245\) | 16.0917 | − | 31.5712i | 1.02806 | − | 2.01701i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −4.80633 | + | 3.49200i | −0.305819 | + | 0.222191i | ||||
\(248\) | −0.0546567 | − | 0.168216i | −0.00347071 | − | 0.0106817i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 5.07172 | + | 9.96381i | 0.320764 | + | 0.630167i | ||||
\(251\) | −9.87560 | −0.623342 | −0.311671 | − | 0.950190i | \(-0.600889\pi\) | ||||
−0.311671 | + | 0.950190i | \(0.600889\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1.54369 | − | 1.12155i | 0.0970508 | − | 0.0705115i | ||||
\(254\) | −2.44652 | + | 1.77750i | −0.153508 | + | 0.111530i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.809017 | − | 0.587785i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | 2.86272 | 0.178572 | 0.0892859 | − | 0.996006i | \(-0.471542\pi\) | ||||
0.0892859 | + | 0.996006i | \(0.471542\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 7.52829 | − | 23.1697i | 0.467785 | − | 1.43969i | ||||
\(260\) | −9.46554 | − | 1.50051i | −0.587028 | − | 0.0930575i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 2.92863 | − | 9.01340i | 0.180931 | − | 0.556850i | ||||
\(263\) | −5.54717 | + | 17.0724i | −0.342053 | + | 1.05273i | 0.621089 | + | 0.783740i | \(0.286690\pi\) |
−0.963143 | + | 0.268992i | \(0.913310\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 4.71785 | + | 29.8134i | 0.289815 | + | 1.83142i | ||||
\(266\) | 2.04741 | − | 6.30129i | 0.125535 | − | 0.386357i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 7.96895 | 0.486781 | ||||||||
\(269\) | 0.298397 | + | 0.216798i | 0.0181936 | + | 0.0132184i | 0.596845 | − | 0.802357i | \(-0.296421\pi\) |
−0.578651 | + | 0.815575i | \(0.696421\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2.64948 | + | 1.92496i | −0.160945 | + | 0.116933i | −0.665343 | − | 0.746538i | \(-0.731714\pi\) |
0.504398 | + | 0.863471i | \(0.331714\pi\) | |||||||
\(272\) | 1.88650 | − | 1.37063i | 0.114386 | − | 0.0831064i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 16.5905 | 1.00227 | ||||||||
\(275\) | 0.750093 | − | 1.03183i | 0.0452323 | − | 0.0622216i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −2.17396 | − | 6.69077i | −0.130621 | − | 0.402010i | 0.864262 | − | 0.503041i | \(-0.167786\pi\) |
−0.994883 | + | 0.101032i | \(0.967786\pi\) | |||||||
\(278\) | 15.9156 | − | 11.5633i | 0.954552 | − | 0.693523i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 9.52386 | − | 4.85103i | 0.569160 | − | 0.289904i | ||||
\(281\) | −1.27666 | − | 0.927548i | −0.0761592 | − | 0.0553329i | 0.549054 | − | 0.835787i | \(-0.314988\pi\) |
−0.625213 | + | 0.780454i | \(0.714988\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −7.37009 | − | 5.35468i | −0.438106 | − | 0.318303i | 0.346776 | − | 0.937948i | \(-0.387276\pi\) |
−0.784882 | + | 0.619645i | \(0.787276\pi\) | |||||||
\(284\) | 3.16135 | − | 9.72962i | 0.187591 | − | 0.577347i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.337907 | + | 1.03997i | 0.0199809 | + | 0.0614948i | ||||
\(287\) | 3.25707 | − | 10.0242i | 0.192259 | − | 0.591711i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −3.57300 | − | 10.9966i | −0.210177 | − | 0.646858i | ||||
\(290\) | −12.6564 | + | 6.44659i | −0.743208 | + | 0.378557i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 7.80959 | + | 5.67400i | 0.457021 | + | 0.332045i | ||||
\(293\) | −27.7869 | −1.62333 | −0.811665 | − | 0.584123i | \(-0.801439\pi\) | ||||
−0.811665 | + | 0.584123i | \(0.801439\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 11.2736 | + | 11.2766i | 0.656373 | + | 0.656551i | ||||
\(296\) | 4.12339 | − | 2.99582i | 0.239667 | − | 0.174128i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −2.97861 | − | 9.16721i | −0.172546 | − | 0.531042i | ||||
\(299\) | 32.0543 | 1.85375 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −17.2542 | −0.994517 | ||||||||
\(302\) | −0.269267 | − | 0.828718i | −0.0154946 | − | 0.0476873i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 1.12141 | − | 0.814750i | 0.0643171 | − | 0.0467291i | ||||
\(305\) | 26.2454 | + | 4.16051i | 1.50281 | + | 0.238230i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −3.43949 | −0.196302 | −0.0981510 | − | 0.995172i | \(-0.531293\pi\) | ||||
−0.0981510 | + | 0.995172i | \(0.531293\pi\) | |||||||
\(308\) | −0.986597 | − | 0.716805i | −0.0562166 | − | 0.0408438i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0.279623 | + | 0.279698i | 0.0158815 | + | 0.0158858i | ||||
\(311\) | −10.0420 | − | 30.9062i | −0.569432 | − | 1.75253i | −0.654402 | − | 0.756147i | \(-0.727080\pi\) |
0.0849705 | − | 0.996383i | \(-0.472920\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −0.129918 | + | 0.399848i | −0.00734342 | + | 0.0226007i | −0.954661 | − | 0.297695i | \(-0.903782\pi\) |
0.947318 | + | 0.320296i | \(0.103782\pi\) | |||||||
\(314\) | −0.179653 | − | 0.552916i | −0.0101384 | − | 0.0312028i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.11335 | + | 3.42654i | −0.0626309 | + | 0.192758i | ||||
\(317\) | 10.6230 | + | 7.71806i | 0.596647 | + | 0.433489i | 0.844687 | − | 0.535260i | \(-0.179787\pi\) |
−0.248040 | + | 0.968750i | \(0.579787\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 1.31110 | + | 0.952571i | 0.0734076 | + | 0.0533337i | ||||
\(320\) | 2.20849 | + | 0.350097i | 0.123458 | + | 0.0195710i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −28.9209 | + | 21.0123i | −1.61170 | + | 1.17097i | ||||
\(323\) | 0.998822 | + | 3.07406i | 0.0555760 | + | 0.171045i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 20.3828 | − | 6.61669i | 1.13064 | − | 0.367028i | ||||
\(326\) | 19.4872 | 1.07930 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 1.78396 | − | 1.29612i | 0.0985026 | − | 0.0715663i | ||||
\(329\) | −29.1136 | + | 21.1523i | −1.60508 | + | 1.16616i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 0.934771 | + | 0.679151i | 0.0513796 | + | 0.0373295i | 0.613179 | − | 0.789944i | \(-0.289891\pi\) |
−0.561799 | + | 0.827274i | \(0.689891\pi\) | |||||||
\(332\) | −15.9242 | −0.873955 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −3.86388 | + | 11.8918i | −0.211422 | + | 0.650691i | ||||
\(335\) | −15.8780 | + | 8.08756i | −0.867510 | + | 0.441870i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −10.4411 | + | 32.1345i | −0.568765 | + | 1.75048i | 0.0877258 | + | 0.996145i | \(0.472040\pi\) |
−0.656491 | + | 0.754334i | \(0.727960\pi\) | |||||||
\(338\) | −1.65930 | + | 5.10680i | −0.0902541 | + | 0.277773i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −2.36781 | + | 4.64554i | −0.128413 | + | 0.251940i | ||||
\(341\) | 0.0139447 | − | 0.0429173i | 0.000755147 | − | 0.00232410i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 42.2890 | 2.28339 | ||||||||
\(344\) | −2.92036 | − | 2.12176i | −0.157455 | − | 0.114398i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 5.71096 | − | 4.14925i | 0.307023 | − | 0.223065i | ||||
\(347\) | −8.02528 | + | 5.83071i | −0.430820 | + | 0.313009i | −0.781977 | − | 0.623308i | \(-0.785788\pi\) |
0.351157 | + | 0.936317i | \(0.385788\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 25.5394 | 1.36709 | 0.683546 | − | 0.729907i | \(-0.260437\pi\) | ||||
0.683546 | + | 0.729907i | \(0.260437\pi\) | |||||||
\(350\) | −14.0530 | + | 19.3312i | −0.751162 | + | 1.03330i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.0788401 | − | 0.242645i | −0.00420219 | − | 0.0129330i | ||||
\(353\) | 26.3730 | − | 19.1611i | 1.40370 | − | 1.01984i | 0.409493 | − | 0.912313i | \(-0.365705\pi\) |
0.994202 | − | 0.107531i | \(-0.0342945\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 3.57549 | + | 22.5946i | 0.189767 | + | 1.19919i | ||||
\(356\) | 9.04835 | + | 6.57401i | 0.479562 | + | 0.348422i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −4.07732 | − | 2.96235i | −0.215493 | − | 0.156565i | ||||
\(359\) | 3.58944 | − | 11.0472i | 0.189444 | − | 0.583047i | −0.810553 | − | 0.585665i | \(-0.800833\pi\) |
0.999997 | + | 0.00261791i | \(0.000833308\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −5.27759 | − | 16.2427i | −0.277768 | − | 0.854881i | ||||
\(362\) | −1.87296 | + | 5.76439i | −0.0984407 | + | 0.302969i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −6.33067 | − | 19.4838i | −0.331817 | − | 1.02123i | ||||
\(365\) | −21.3190 | − | 3.37955i | −1.11589 | − | 0.176894i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −11.5204 | − | 8.37006i | −0.601360 | − | 0.436913i | 0.245002 | − | 0.969523i | \(-0.421212\pi\) |
−0.846361 | + | 0.532609i | \(0.821212\pi\) | |||||||
\(368\) | −7.47888 | −0.389864 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −5.17540 | + | 10.1539i | −0.269056 | + | 0.527876i | ||||
\(371\) | −52.2002 | + | 37.9257i | −2.71010 | + | 1.96900i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −3.15760 | − | 9.71810i | −0.163494 | − | 0.503184i | 0.835428 | − | 0.549600i | \(-0.185220\pi\) |
−0.998922 | + | 0.0464163i | \(0.985220\pi\) | |||||||
\(374\) | 0.594929 | 0.0307630 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −7.52871 | −0.388264 | ||||||||
\(377\) | 8.41291 | + | 25.8923i | 0.433287 | + | 1.33352i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −24.4175 | + | 17.7403i | −1.25424 | + | 0.911260i | −0.998460 | − | 0.0554739i | \(-0.982333\pi\) |
−0.255782 | + | 0.966734i | \(0.582333\pi\) | |||||||
\(380\) | −1.40751 | + | 2.76148i | −0.0722040 | + | 0.141661i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −11.0653 | −0.566152 | ||||||||
\(383\) | −8.71000 | − | 6.32819i | −0.445060 | − | 0.323355i | 0.342582 | − | 0.939488i | \(-0.388699\pi\) |
−0.787642 | + | 0.616133i | \(0.788699\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.69326 | + | 0.426944i | 0.137261 | + | 0.0217591i | ||||
\(386\) | 1.56336 | + | 4.81154i | 0.0795732 | + | 0.244901i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −4.86830 | + | 14.9831i | −0.247150 | + | 0.760650i | ||||
\(389\) | 7.66626 | + | 23.5943i | 0.388695 | + | 1.19628i | 0.933764 | + | 0.357888i | \(0.116503\pi\) |
−0.545070 | + | 0.838391i | \(0.683497\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 5.38914 | − | 16.5861i | 0.272540 | − | 0.838793i | ||||
\(392\) | 12.8207 | + | 9.31480i | 0.647544 | + | 0.470469i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −11.7506 | − | 8.53731i | −0.591987 | − | 0.430104i | ||||
\(395\) | −1.25920 | − | 7.95727i | −0.0633575 | − | 0.400374i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 15.2212 | − | 11.0588i | 0.763929 | − | 0.555027i | −0.136184 | − | 0.990684i | \(-0.543484\pi\) |
0.900113 | + | 0.435657i | \(0.143484\pi\) | |||||||
\(398\) | 4.12572 | + | 12.6977i | 0.206804 | + | 0.636476i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −4.75570 | + | 1.54380i | −0.237785 | + | 0.0771899i | ||||
\(401\) | 35.7666 | 1.78610 | 0.893048 | − | 0.449961i | \(-0.148562\pi\) | ||||
0.893048 | + | 0.449961i | \(0.148562\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.613294 | − | 0.445584i | 0.0305504 | − | 0.0221961i | ||||
\(404\) | −2.76119 | + | 2.00612i | −0.137374 | + | 0.0998084i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −24.5634 | − | 17.8464i | −1.21906 | − | 0.885700i | ||||
\(407\) | 1.30035 | 0.0644561 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −3.83837 | + | 11.8133i | −0.189795 | + | 0.584130i | −0.999998 | − | 0.00201985i | \(-0.999357\pi\) |
0.810203 | + | 0.586150i | \(0.199357\pi\) | |||||||
\(410\) | −2.23910 | + | 4.39302i | −0.110581 | + | 0.216956i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 4.58263 | − | 14.1039i | 0.225770 | − | 0.694849i | ||||
\(413\) | −10.5330 | + | 32.4171i | −0.518293 | + | 1.59514i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 31.7288 | − | 16.1612i | 1.55751 | − | 0.793324i | ||||
\(416\) | 1.32444 | − | 4.07621i | 0.0649360 | − | 0.199853i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.353648 | 0.0172975 | ||||||||
\(419\) | −7.86313 | − | 5.71290i | −0.384139 | − | 0.279093i | 0.378910 | − | 0.925433i | \(-0.376299\pi\) |
−0.763050 | + | 0.646340i | \(0.776299\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 31.0325 | − | 22.5464i | 1.51243 | − | 1.09885i | 0.547347 | − | 0.836906i | \(-0.315638\pi\) |
0.965084 | − | 0.261940i | \(-0.0843623\pi\) | |||||||
\(422\) | −4.48682 | + | 3.25987i | −0.218415 | + | 0.158688i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −13.4989 | −0.655563 | ||||||||
\(425\) | 0.00315448 | − | 11.6592i | 0.000153015 | − | 0.565556i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 17.5533 | + | 54.0234i | 0.849462 | + | 2.61437i | ||||
\(428\) | 10.8696 | − | 7.89719i | 0.525400 | − | 0.381725i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 7.97212 | + | 1.26376i | 0.384450 | + | 0.0609441i | ||||
\(431\) | 8.60869 | + | 6.25458i | 0.414666 | + | 0.301273i | 0.775488 | − | 0.631362i | \(-0.217504\pi\) |
−0.360822 | + | 0.932635i | \(0.617504\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 25.3450 | + | 18.4142i | 1.21800 | + | 0.884930i | 0.995933 | − | 0.0901010i | \(-0.0287190\pi\) |
0.222069 | + | 0.975031i | \(0.428719\pi\) | |||||||
\(434\) | −0.261253 | + | 0.804054i | −0.0125405 | + | 0.0385958i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −0.138411 | − | 0.425985i | −0.00662869 | − | 0.0204010i | ||||
\(437\) | 3.20350 | − | 9.85936i | 0.153244 | − | 0.471637i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −1.24572 | − | 3.83392i | −0.0594548 | − | 0.182983i | 0.916918 | − | 0.399075i | \(-0.130669\pi\) |
−0.976373 | + | 0.216092i | \(0.930669\pi\) | |||||||
\(440\) | 0.403345 | + | 0.403454i | 0.0192287 | + | 0.0192339i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 8.08552 | + | 5.87447i | 0.384589 | + | 0.279420i | ||||
\(443\) | −19.6040 | −0.931413 | −0.465706 | − | 0.884939i | \(-0.654200\pi\) | ||||
−0.465706 | + | 0.884939i | \(0.654200\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −24.7006 | − | 3.91562i | −1.17092 | − | 0.185618i | ||||
\(446\) | −17.5523 | + | 12.7525i | −0.831127 | + | 0.603849i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 1.47707 | + | 4.54594i | 0.0697848 | + | 0.214775i | ||||
\(449\) | −27.3128 | −1.28897 | −0.644484 | − | 0.764617i | \(-0.722928\pi\) | ||||
−0.644484 | + | 0.764617i | \(0.722928\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.562590 | 0.0264913 | ||||||||
\(452\) | −3.81333 | − | 11.7362i | −0.179364 | − | 0.552025i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −13.5883 | + | 9.87244i | −0.637728 | + | 0.463337i | ||||
\(455\) | 32.3876 | + | 32.3963i | 1.51835 | + | 1.51876i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −15.3527 | −0.718171 | −0.359085 | − | 0.933305i | \(-0.616911\pi\) | ||||
−0.359085 | + | 0.933305i | \(0.616911\pi\) | |||||||
\(458\) | 2.63764 | + | 1.91635i | 0.123249 | + | 0.0895453i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 14.9016 | − | 7.59020i | 0.694790 | − | 0.353895i | ||||
\(461\) | 2.67581 | + | 8.23529i | 0.124625 | + | 0.383555i | 0.993833 | − | 0.110892i | \(-0.0353706\pi\) |
−0.869208 | + | 0.494447i | \(0.835371\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 7.86851 | − | 24.2168i | 0.365680 | − | 1.12545i | −0.583873 | − | 0.811845i | \(-0.698464\pi\) |
0.949554 | − | 0.313604i | \(-0.101536\pi\) | |||||||
\(464\) | −1.96289 | − | 6.04116i | −0.0911249 | − | 0.280454i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 4.23909 | − | 13.0466i | 0.196372 | − | 0.604371i | ||||
\(467\) | −4.12104 | − | 2.99411i | −0.190699 | − | 0.138551i | 0.488339 | − | 0.872654i | \(-0.337603\pi\) |
−0.679038 | + | 0.734103i | \(0.737603\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −30.8160 | − | 22.3891i | −1.42295 | − | 1.03383i | ||||
\(470\) | 15.0009 | − | 7.64077i | 0.691939 | − | 0.352443i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −5.76910 | + | 4.19150i | −0.265544 | + | 0.192929i | ||||
\(473\) | −0.284594 | − | 0.875889i | −0.0130856 | − | 0.0402734i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.00187514 | − | 6.93068i | 8.60372e−5 | − | 0.318001i | ||||
\(476\) | −11.1460 | −0.510874 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 14.1977 | − | 10.3152i | 0.649386 | − | 0.471807i | ||||
\(479\) | 27.4641 | − | 19.9538i | 1.25487 | − | 0.911713i | 0.256372 | − | 0.966578i | \(-0.417473\pi\) |
0.998494 | + | 0.0548650i | \(0.0174728\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 17.6728 | + | 12.8400i | 0.805808 | + | 0.585454i | ||||
\(482\) | 5.57887 | 0.254111 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −3.37907 | + | 10.3997i | −0.153594 | + | 0.472714i | ||||
\(485\) | −5.50606 | − | 34.7944i | −0.250017 | − | 1.57993i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 1.94471 | − | 5.98522i | 0.0881234 | − | 0.271216i | −0.897277 | − | 0.441468i | \(-0.854458\pi\) |
0.985401 | + | 0.170252i | \(0.0544580\pi\) | |||||||
\(488\) | −3.67232 | + | 11.3022i | −0.166238 | + | 0.511628i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −34.9986 | − | 5.54809i | −1.58108 | − | 0.250637i | ||||
\(491\) | 0.148389 | − | 0.456694i | 0.00669669 | − | 0.0206103i | −0.947652 | − | 0.319304i | \(-0.896551\pi\) |
0.954349 | + | 0.298694i | \(0.0965509\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 14.8120 | 0.667099 | ||||||||
\(494\) | 4.80633 | + | 3.49200i | 0.216247 | + | 0.157113i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −0.143093 | + | 0.103963i | −0.00642507 | + | 0.00466809i | ||||
\(497\) | −39.5608 | + | 28.7426i | −1.77454 | + | 1.28928i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −42.8785 | −1.91950 | −0.959752 | − | 0.280848i | \(-0.909384\pi\) | ||||
−0.959752 | + | 0.280848i | \(0.909384\pi\) | |||||||
\(500\) | 7.90890 | − | 7.90249i | 0.353697 | − | 0.353410i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 3.05173 | + | 9.39225i | 0.136205 | + | 0.419197i | ||||
\(503\) | 4.81519 | − | 3.49844i | 0.214699 | − | 0.155988i | −0.475238 | − | 0.879857i | \(-0.657638\pi\) |
0.689937 | + | 0.723869i | \(0.257638\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 3.46566 | − | 6.79947i | 0.154220 | − | 0.302572i | ||||
\(506\) | −1.54369 | − | 1.12155i | −0.0686253 | − | 0.0498592i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 2.44652 | + | 1.77750i | 0.108547 | + | 0.0788637i | ||||
\(509\) | 3.48006 | − | 10.7105i | 0.154251 | − | 0.474735i | −0.843833 | − | 0.536605i | \(-0.819706\pi\) |
0.998084 | + | 0.0618700i | \(0.0197064\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −14.2584 | − | 43.8828i | −0.630753 | − | 1.94126i | ||||
\(512\) | −0.309017 | + | 0.951057i | −0.0136568 | + | 0.0420312i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −0.884630 | − | 2.72261i | −0.0390194 | − | 0.120089i | ||||
\(515\) | 5.18298 | + | 32.7527i | 0.228389 | + | 1.44326i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −1.55397 | − | 1.12903i | −0.0683436 | − | 0.0496546i | ||||
\(518\) | −24.3621 | −1.07041 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 1.49795 | + | 9.46595i | 0.0656893 | + | 0.415109i | ||||
\(521\) | 0.360123 | − | 0.261644i | 0.0157773 | − | 0.0114629i | −0.579869 | − | 0.814710i | \(-0.696896\pi\) |
0.595646 | + | 0.803247i | \(0.296896\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 6.78786 | + | 20.8909i | 0.296812 | + | 0.913495i | 0.982607 | + | 0.185699i | \(0.0594550\pi\) |
−0.685794 | + | 0.727796i | \(0.740545\pi\) | |||||||
\(524\) | −9.47725 | −0.414016 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 17.9510 | 0.782702 | ||||||||
\(527\) | −0.127451 | − | 0.392254i | −0.00555186 | − | 0.0170869i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −26.6439 | + | 19.3579i | −1.15843 | + | 0.841649i | ||||
\(530\) | 26.8964 | − | 13.6998i | 1.16830 | − | 0.595081i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −6.62557 | −0.287255 | ||||||||
\(533\) | 7.64600 | + | 5.55515i | 0.331185 | + | 0.240620i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −13.6427 | + | 26.7664i | −0.589827 | + | 1.15721i | ||||
\(536\) | −2.46254 | − | 7.57892i | −0.106366 | − | 0.327359i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0.113977 | − | 0.350787i | 0.00491392 | − | 0.0151235i | ||||
\(539\) | 1.24940 | + | 3.84527i | 0.0538156 | + | 0.165627i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 3.15639 | − | 9.71438i | 0.135704 | − | 0.417654i | −0.859995 | − | 0.510303i | \(-0.829533\pi\) |
0.995699 | + | 0.0926487i | \(0.0295334\pi\) | |||||||
\(542\) | 2.64948 | + | 1.92496i | 0.113805 | + | 0.0826842i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −1.88650 | − | 1.37063i | −0.0808832 | − | 0.0587651i | ||||
\(545\) | 0.708108 | + | 0.708300i | 0.0303320 | + | 0.0303402i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −9.48068 | + | 6.88812i | −0.405365 | + | 0.294515i | −0.771723 | − | 0.635959i | \(-0.780605\pi\) |
0.366358 | + | 0.930474i | \(0.380605\pi\) | |||||||
\(548\) | −5.12674 | − | 15.7785i | −0.219004 | − | 0.674024i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −1.21312 | − | 0.394529i | −0.0517275 | − | 0.0168228i | ||||
\(551\) | 8.80480 | 0.375097 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 13.9324 | − | 10.1225i | 0.592465 | − | 0.430451i | ||||
\(554\) | −5.69151 | + | 4.13513i | −0.241809 | + | 0.175685i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −15.9156 | − | 11.5633i | −0.674970 | − | 0.490395i | ||||
\(557\) | −3.38123 | −0.143267 | −0.0716336 | − | 0.997431i | \(-0.522821\pi\) | ||||
−0.0716336 | + | 0.997431i | \(0.522821\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 4.78091 | − | 14.7141i | 0.202211 | − | 0.622341i | ||||
\(560\) | −7.55664 | − | 7.55868i | −0.319326 | − | 0.319413i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −0.487641 | + | 1.50080i | −0.0205699 | + | 0.0633076i | ||||
\(563\) | 3.49579 | − | 10.7589i | 0.147330 | − | 0.453435i | −0.849973 | − | 0.526826i | \(-0.823382\pi\) |
0.997303 | + | 0.0733910i | \(0.0233821\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 19.5089 | + | 19.5142i | 0.820746 | + | 0.820968i | ||||
\(566\) | −2.81512 | + | 8.66406i | −0.118328 | + | 0.364178i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −10.2303 | −0.429255 | ||||||||
\(569\) | −19.9941 | − | 14.5266i | −0.838197 | − | 0.608986i | 0.0836691 | − | 0.996494i | \(-0.473336\pi\) |
−0.921867 | + | 0.387507i | \(0.873336\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 0.171950 | − | 0.124929i | 0.00719590 | − | 0.00522812i | −0.584181 | − | 0.811623i | \(-0.698584\pi\) |
0.591377 | + | 0.806395i | \(0.298584\pi\) | |||||||
\(572\) | 0.884652 | − | 0.642737i | 0.0369892 | − | 0.0268742i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −10.5401 | −0.439935 | ||||||||
\(575\) | −21.9881 | + | 30.2468i | −0.916966 | + | 1.26138i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −3.08858 | − | 9.50568i | −0.128579 | − | 0.395727i | 0.865957 | − | 0.500119i | \(-0.166710\pi\) |
−0.994536 | + | 0.104392i | \(0.966710\pi\) | |||||||
\(578\) | −9.35425 | + | 6.79626i | −0.389085 | + | 0.282687i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 10.0421 | + | 10.0448i | 0.416976 | + | 0.417089i | ||||
\(581\) | 61.5790 | + | 44.7398i | 2.55473 | + | 1.85612i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −2.78625 | − | 2.02433i | −0.115395 | − | 0.0838392i | ||||
\(584\) | 2.98300 | − | 9.18072i | 0.123437 | − | 0.379901i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 8.58664 | + | 26.4269i | 0.354711 | + | 1.09169i | ||||
\(587\) | −3.53822 | + | 10.8895i | −0.146038 | + | 0.449458i | −0.997143 | − | 0.0755369i | \(-0.975933\pi\) |
0.851105 | + | 0.524995i | \(0.175933\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.0757616 | − | 0.233170i | −0.00312170 | − | 0.00960762i | ||||
\(590\) | 7.24099 | − | 14.2065i | 0.298107 | − | 0.584872i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −4.12339 | − | 2.99582i | −0.169470 | − | 0.123127i | ||||
\(593\) | −5.62288 | −0.230904 | −0.115452 | − | 0.993313i | \(-0.536832\pi\) | ||||
−0.115452 | + | 0.993313i | \(0.536832\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 22.2082 | − | 11.3119i | 0.910447 | − | 0.463741i | ||||
\(596\) | −7.79809 | + | 5.66565i | −0.319422 | + | 0.232074i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −9.90533 | − | 30.4855i | −0.405059 | − | 1.24664i | ||||
\(599\) | −8.88538 | −0.363047 | −0.181523 | − | 0.983387i | \(-0.558103\pi\) | ||||
−0.181523 | + | 0.983387i | \(0.558103\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −14.8888 | −0.607328 | −0.303664 | − | 0.952779i | \(-0.598210\pi\) | ||||
−0.303664 | + | 0.952779i | \(0.598210\pi\) | |||||||
\(602\) | 5.33185 | + | 16.4097i | 0.217310 | + | 0.668811i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −0.704949 | + | 0.512176i | −0.0286840 | + | 0.0208401i | ||||
\(605\) | −3.82174 | − | 24.1507i | −0.155376 | − | 0.981865i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 25.5466 | 1.03690 | 0.518452 | − | 0.855107i | \(-0.326509\pi\) | ||||
0.518452 | + | 0.855107i | \(0.326509\pi\) | |||||||
\(608\) | −1.12141 | − | 0.814750i | −0.0454791 | − | 0.0330425i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −4.15341 | − | 26.2466i | −0.168166 | − | 1.06269i | ||||
\(611\) | −9.97133 | − | 30.6886i | −0.403397 | − | 1.24153i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 8.59084 | − | 26.4399i | 0.346981 | − | 1.06790i | −0.613534 | − | 0.789668i | \(-0.710253\pi\) |
0.960515 | − | 0.278229i | \(-0.0897474\pi\) | |||||||
\(614\) | 1.06286 | + | 3.27115i | 0.0428936 | + | 0.132013i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −0.376847 | + | 1.15981i | −0.0151836 | + | 0.0467303i | ||||
\(617\) | −3.89334 | − | 2.82868i | −0.156740 | − | 0.113878i | 0.506651 | − | 0.862151i | \(-0.330883\pi\) |
−0.663391 | + | 0.748273i | \(0.730883\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 25.0600 | + | 18.2072i | 1.00725 | + | 0.731809i | 0.963630 | − | 0.267240i | \(-0.0861115\pi\) |
0.0436181 | + | 0.999048i | \(0.486112\pi\) | |||||||
\(620\) | 0.179601 | − | 0.352369i | 0.00721294 | − | 0.0141515i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −26.2904 | + | 19.1011i | −1.05415 | + | 0.765884i | ||||
\(623\) | −16.5201 | − | 50.8435i | −0.661862 | − | 2.03700i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −7.73829 | + | 23.7722i | −0.309532 | + | 0.950889i | ||||
\(626\) | 0.420425 | 0.0168036 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −0.470338 | + | 0.341721i | −0.0187685 | + | 0.0136361i | ||||
\(629\) | 9.61511 | − | 6.98579i | 0.383380 | − | 0.278542i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 19.5916 | + | 14.2342i | 0.779931 | + | 0.566653i | 0.904958 | − | 0.425500i | \(-0.139902\pi\) |
−0.125027 | + | 0.992153i | \(0.539902\pi\) | |||||||
\(632\) | 3.60288 | 0.143315 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 4.05762 | − | 12.4881i | 0.161149 | − | 0.495965i | ||||
\(635\) | −6.67861 | − | 1.05871i | −0.265032 | − | 0.0420138i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −20.9888 | + | 64.5968i | −0.831606 | + | 2.55942i | ||||
\(638\) | 0.500796 | − | 1.54129i | 0.0198267 | − | 0.0610204i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −0.349499 | − | 2.20859i | −0.0138152 | − | 0.0873020i | ||||
\(641\) | 11.9865 | − | 36.8907i | 0.473439 | − | 1.45710i | −0.374612 | − | 0.927182i | \(-0.622224\pi\) |
0.848051 | − | 0.529914i | \(-0.177776\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 22.6312 | 0.892487 | 0.446243 | − | 0.894912i | \(-0.352762\pi\) | ||||
0.446243 | + | 0.894912i | \(0.352762\pi\) | |||||||
\(644\) | 28.9209 | + | 21.0123i | 1.13964 | + | 0.827999i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 2.61495 | − | 1.89987i | 0.102884 | − | 0.0747495i | ||||
\(647\) | 28.4009 | − | 20.6345i | 1.11655 | − | 0.811224i | 0.132871 | − | 0.991133i | \(-0.457580\pi\) |
0.983683 | + | 0.179909i | \(0.0575803\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −1.81935 | −0.0714156 | ||||||||
\(650\) | −12.5915 | − | 17.3406i | −0.493879 | − | 0.680152i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −6.02188 | − | 18.5334i | −0.235835 | − | 0.725826i | ||||
\(653\) | −11.7901 | + | 8.56604i | −0.461384 | + | 0.335215i | −0.794074 | − | 0.607821i | \(-0.792044\pi\) |
0.332690 | + | 0.943036i | \(0.392044\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 18.8833 | − | 9.61831i | 0.737832 | − | 0.375819i | ||||
\(656\) | −1.78396 | − | 1.29612i | −0.0696518 | − | 0.0506050i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 29.1136 | + | 21.1523i | 1.13497 | + | 0.824601i | ||||
\(659\) | 12.5559 | − | 38.6430i | 0.489107 | − | 1.50532i | −0.336836 | − | 0.941563i | \(-0.609357\pi\) |
0.825943 | − | 0.563754i | \(-0.190643\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −1.93964 | − | 5.96961i | −0.0754434 | − | 0.232191i | 0.906222 | − | 0.422801i | \(-0.138953\pi\) |
−0.981666 | + | 0.190611i | \(0.938953\pi\) | |||||||
\(662\) | 0.357051 | − | 1.09889i | 0.0138772 | − | 0.0427095i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 4.92085 | + | 15.1448i | 0.190966 | + | 0.587733i | ||||
\(665\) | 13.2014 | − | 6.72418i | 0.511927 | − | 0.260753i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −38.4333 | − | 27.9235i | −1.48814 | − | 1.08120i | ||||
\(668\) | 12.5038 | 0.483786 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 12.5983 | + | 12.6017i | 0.486715 | + | 0.486847i | ||||
\(671\) | −2.45290 | + | 1.78214i | −0.0946933 | + | 0.0687987i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 5.21059 | + | 16.0365i | 0.200853 | + | 0.618163i | 0.999858 | + | 0.0168387i | \(0.00536019\pi\) |
−0.799005 | + | 0.601325i | \(0.794640\pi\) | |||||||
\(674\) | 33.7882 | 1.30147 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 5.36961 | 0.206523 | ||||||||
\(677\) | −6.81919 | − | 20.9873i | −0.262083 | − | 0.806608i | −0.992351 | − | 0.123447i | \(-0.960605\pi\) |
0.730268 | − | 0.683160i | \(-0.239395\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 60.9214 | − | 44.2620i | 2.33795 | − | 1.69862i | ||||
\(680\) | 5.14986 | + | 0.816373i | 0.197488 | + | 0.0313065i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −0.0451259 | −0.00172796 | ||||||||
\(683\) | 18.4449 | + | 13.4010i | 0.705776 | + | 0.512776i | 0.881808 | − | 0.471608i | \(-0.156326\pi\) |
−0.176032 | + | 0.984384i | \(0.556326\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 26.2283 | + | 26.2354i | 1.00213 | + | 1.00240i | ||||
\(686\) | −13.0680 | − | 40.2192i | −0.498939 | − | 1.53558i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −1.11548 | + | 3.43308i | −0.0425271 | + | 0.130885i | ||||
\(689\) | −17.8785 | − | 55.0242i | −0.681115 | − | 2.09626i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 2.57510 | − | 7.92535i | 0.0979615 | − | 0.301495i | −0.890053 | − | 0.455858i | \(-0.849333\pi\) |
0.988014 | + | 0.154363i | \(0.0493326\pi\) | |||||||
\(692\) | −5.71096 | − | 4.14925i | −0.217098 | − | 0.157731i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 8.02528 | + | 5.83071i | 0.304636 | + | 0.221331i | ||||
\(695\) | 43.4470 | + | 6.88736i | 1.64804 | + | 0.261252i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 4.15992 | − | 3.02236i | 0.157568 | − | 0.114480i | ||||
\(698\) | −7.89211 | − | 24.2894i | −0.298721 | − | 0.919368i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 22.7277 | + | 7.39148i | 0.859026 | + | 0.279372i | ||||
\(701\) | 34.5465 | 1.30480 | 0.652401 | − | 0.757874i | \(-0.273762\pi\) | ||||
0.652401 | + | 0.757874i | \(0.273762\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 5.71557 | − | 4.15261i | 0.215567 | − | 0.156619i | ||||
\(704\) | −0.206406 | + | 0.149963i | −0.00777922 | + | 0.00565194i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −26.3730 | − | 19.1611i | −0.992562 | − | 0.721139i | ||||
\(707\) | 16.3138 | 0.613545 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −7.06612 | + | 21.7473i | −0.265374 | + | 0.816736i | 0.726234 | + | 0.687448i | \(0.241269\pi\) |
−0.991607 | + | 0.129288i | \(0.958731\pi\) | |||||||
\(710\) | 20.3838 | − | 10.3826i | 0.764991 | − | 0.389652i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 3.45616 | − | 10.6370i | 0.129525 | − | 0.398638i | ||||
\(713\) | −0.408771 | + | 1.25807i | −0.0153086 | + | 0.0471150i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.11036 | + | 2.17847i | −0.0415249 | + | 0.0814700i | ||||
\(716\) | −1.55740 | + | 4.79318i | −0.0582027 | + | 0.179129i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −11.6157 | −0.433493 | ||||||||
\(719\) | 27.1888 | + | 19.7539i | 1.01397 | + | 0.736694i | 0.965039 | − | 0.262108i | \(-0.0844175\pi\) |
0.0489342 | + | 0.998802i | \(0.484418\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −57.3466 | + | 41.6648i | −2.13570 | + | 1.55168i | ||||
\(722\) | −13.8169 | + | 10.0386i | −0.514212 | + | 0.373597i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 6.06103 | 0.225257 | ||||||||
\(725\) | −30.2031 | − | 9.82263i | −1.12172 | − | 0.364803i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −5.91374 | − | 18.2006i | −0.219328 | − | 0.675023i | −0.998818 | − | 0.0486081i | \(-0.984521\pi\) |
0.779490 | − | 0.626415i | \(-0.215479\pi\) | |||||||
\(728\) | −16.5739 | + | 12.0416i | −0.614270 | + | 0.446293i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 3.37378 | + | 21.3199i | 0.124869 | + | 0.789084i | ||||
\(731\) | −6.80982 | − | 4.94763i | −0.251870 | − | 0.182995i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −34.6916 | − | 25.2049i | −1.28136 | − | 0.930964i | −0.281769 | − | 0.959482i | \(-0.590921\pi\) |
−0.999593 | + | 0.0285186i | \(0.990921\pi\) | |||||||
\(734\) | −4.40040 | + | 13.5430i | −0.162422 | + | 0.499883i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 2.31110 | + | 7.11284i | 0.0851883 | + | 0.262183i | ||||
\(737\) | 0.628273 | − | 1.93362i | 0.0231427 | − | 0.0712260i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −0.116966 | − | 0.359983i | −0.00430265 | − | 0.0132422i | 0.948882 | − | 0.315631i | \(-0.102216\pi\) |
−0.953185 | + | 0.302388i | \(0.902216\pi\) | |||||||
\(740\) | 11.2562 | + | 1.78437i | 0.413787 | + | 0.0655947i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 52.2002 | + | 37.9257i | 1.91633 | + | 1.39230i | ||||
\(743\) | −1.02959 | −0.0377720 | −0.0188860 | − | 0.999822i | \(-0.506012\pi\) | ||||
−0.0188860 | + | 0.999822i | \(0.506012\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 9.78764 | − | 19.2029i | 0.358591 | − | 0.703540i | ||||
\(746\) | −8.26671 | + | 6.00611i | −0.302666 | + | 0.219899i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −0.183843 | − | 0.565811i | −0.00672197 | − | 0.0206881i | ||||
\(749\) | −64.2202 | −2.34655 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −0.274836 | −0.0100289 | −0.00501445 | − | 0.999987i | \(-0.501596\pi\) | ||||
−0.00501445 | + | 0.999987i | \(0.501596\pi\) | |||||||
\(752\) | 2.32650 | + | 7.16023i | 0.0848387 | + | 0.261107i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 22.0253 | − | 16.0023i | 0.802113 | − | 0.582769i | ||||
\(755\) | 0.884804 | − | 1.73595i | 0.0322013 | − | 0.0631775i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −29.6425 | −1.07737 | −0.538687 | − | 0.842506i | \(-0.681079\pi\) | ||||
−0.538687 | + | 0.842506i | \(0.681079\pi\) | |||||||
\(758\) | 24.4175 | + | 17.7403i | 0.886883 | + | 0.644358i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 3.06127 | + | 0.485282i | 0.111044 | + | 0.0176030i | ||||
\(761\) | 0.569688 | + | 1.75332i | 0.0206512 | + | 0.0635578i | 0.960851 | − | 0.277066i | \(-0.0893619\pi\) |
−0.940200 | + | 0.340623i | \(0.889362\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −0.661589 | + | 2.03616i | −0.0239511 | + | 0.0737140i | ||||
\(764\) | 3.41938 | + | 10.5238i | 0.123709 | + | 0.380736i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −3.32692 | + | 10.2392i | −0.120207 | + | 0.369958i | ||||
\(767\) | −24.7263 | − | 17.9647i | −0.892813 | − | 0.648667i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −15.7322 | − | 11.4301i | −0.567317 | − | 0.412180i | 0.266813 | − | 0.963748i | \(-0.414030\pi\) |
−0.834130 | + | 0.551569i | \(0.814030\pi\) | |||||||
\(770\) | −0.426215 | − | 2.69337i | −0.0153597 | − | 0.0970624i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 4.09294 | − | 2.97370i | 0.147308 | − | 0.107026i | ||||
\(773\) | −7.69523 | − | 23.6835i | −0.276778 | − | 0.851836i | −0.988743 | − | 0.149621i | \(-0.952195\pi\) |
0.711965 | − | 0.702215i | \(-0.247805\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.000239270 | 0.884365i | −8.59485e−6 | 0.0317673i | ||||||
\(776\) | 15.7541 | 0.565541 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 20.0705 | − | 14.5821i | 0.719563 | − | 0.522793i | ||||
\(779\) | 2.47281 | − | 1.79660i | 0.0885975 | − | 0.0643699i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −2.11160 | − | 1.53417i | −0.0755591 | − | 0.0548969i | ||||
\(782\) | −17.4396 | −0.623639 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 4.89708 | − | 15.0717i | 0.174896 | − | 0.538274i | ||||
\(785\) | 0.590336 | − | 1.15821i | 0.0210700 | − | 0.0413384i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −3.21146 | + | 9.88387i | −0.114476 | + | 0.352322i | −0.991837 | − | 0.127509i | \(-0.959302\pi\) |
0.877361 | + | 0.479831i | \(0.159302\pi\) | |||||||
\(788\) | −4.48833 | + | 13.8137i | −0.159890 | + | 0.492091i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −7.17870 | + | 3.65651i | −0.255407 | + | 0.130093i | ||||
\(791\) | −18.2273 | + | 56.0977i | −0.648087 | + | 1.99461i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −50.9340 | −1.80872 | ||||||||
\(794\) | −15.2212 | − | 11.0588i | −0.540179 | − | 0.392463i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 10.8013 | − | 7.84758i | 0.382841 | − | 0.278150i | ||||
\(797\) | 24.4435 | − | 17.7592i | 0.865832 | − | 0.629064i | −0.0636335 | − | 0.997973i | \(-0.520269\pi\) |
0.929465 | + | 0.368910i | \(0.120269\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −17.5558 | −0.621080 | ||||||||
\(800\) | 2.93783 | + | 4.04588i | 0.103868 | + | 0.143043i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −11.0525 | − | 34.0160i | −0.390276 | − | 1.20115i | ||||
\(803\) | 1.99248 | − | 1.44762i | 0.0703129 | − | 0.0510853i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −78.9496 | − | 12.5153i | −2.78261 | − | 0.441107i | ||||
\(806\) | −0.613294 | − | 0.445584i | −0.0216024 | − | 0.0156950i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 2.76119 | + | 2.00612i | 0.0971384 | + | 0.0705752i | ||||
\(809\) | −14.2404 | + | 43.8276i | −0.500667 | + | 1.54090i | 0.307267 | + | 0.951623i | \(0.400585\pi\) |
−0.807935 | + | 0.589272i | \(0.799415\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 4.82498 | + | 14.8498i | 0.169428 | + | 0.521446i | 0.999335 | − | 0.0364555i | \(-0.0116067\pi\) |
−0.829907 | + | 0.557901i | \(0.811607\pi\) | |||||||
\(812\) | −9.38239 | + | 28.8760i | −0.329257 | + | 1.01335i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −0.401831 | − | 1.23671i | −0.0140842 | − | 0.0433467i | ||||
\(815\) | 30.8078 | + | 30.8162i | 1.07915 | + | 1.07944i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −4.04801 | − | 2.94105i | −0.141622 | − | 0.102894i | ||||
\(818\) | 12.4212 | 0.434298 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 4.86993 | + | 0.771996i | 0.170065 | + | 0.0269593i | ||||
\(821\) | −28.0617 | + | 20.3880i | −0.979359 | + | 0.711546i | −0.957565 | − | 0.288216i | \(-0.906938\pi\) |
−0.0217941 | + | 0.999762i | \(0.506938\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −5.04410 | − | 15.5242i | −0.175826 | − | 0.541138i | 0.823844 | − | 0.566817i | \(-0.191825\pi\) |
−0.999670 | + | 0.0256788i | \(0.991825\pi\) | |||||||
\(824\) | −14.8297 | −0.516618 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 34.0854 | 1.18598 | ||||||||
\(827\) | 10.6836 | + | 32.8808i | 0.371505 | + | 1.14338i | 0.945806 | + | 0.324732i | \(0.105274\pi\) |
−0.574301 | + | 0.818644i | \(0.694726\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −15.7263 | + | 11.4258i | −0.546198 | + | 0.396836i | −0.826382 | − | 0.563110i | \(-0.809605\pi\) |
0.280184 | + | 0.959946i | \(0.409605\pi\) | |||||||
\(830\) | −25.1750 | − | 25.1818i | −0.873837 | − | 0.874073i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −4.28598 | −0.148590 | ||||||||
\(833\) | 29.8960 | + | 21.7207i | 1.03583 | + | 0.752578i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −24.9136 | + | 12.6899i | −0.862172 | + | 0.439152i | ||||
\(836\) | −0.109283 | − | 0.336339i | −0.00377964 | − | 0.0116325i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −3.00345 | + | 9.24367i | −0.103752 | + | 0.319317i | ||||
\(839\) | −3.29911 | − | 10.1536i | −0.113898 | − | 0.350541i | 0.877818 | − | 0.478995i | \(-0.158999\pi\) |
−0.991716 | + | 0.128453i | \(0.958999\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 3.50689 | − | 10.7931i | 0.120927 | − | 0.372175i | ||||
\(842\) | −31.0325 | − | 22.5464i | −1.06945 | − | 0.777001i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 4.48682 | + | 3.25987i | 0.154443 | + | 0.112209i | ||||
\(845\) | −10.6989 | + | 5.44953i | −0.368053 | + | 0.187470i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 42.2854 | − | 30.7221i | 1.45294 | − | 1.05562i | ||||
\(848\) | 4.17138 | + | 12.8382i | 0.143246 | + | 0.440865i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −11.0896 | + | 3.59990i | −0.380369 | + | 0.123476i | ||||
\(851\) | −38.1183 | −1.30668 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −28.8998 | + | 20.9969i | −0.989509 | + | 0.718920i | −0.959814 | − | 0.280639i | \(-0.909454\pi\) |
−0.0296955 | + | 0.999559i | \(0.509454\pi\) | |||||||
\(854\) | 45.9550 | − | 33.3883i | 1.57255 | − | 1.14252i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −10.8696 | − | 7.89719i | −0.371514 | − | 0.269921i | ||||
\(857\) | 31.2829 | 1.06860 | 0.534302 | − | 0.845294i | \(-0.320575\pi\) | ||||
0.534302 | + | 0.845294i | \(0.320575\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −2.38055 | + | 7.32658i | −0.0812234 | + | 0.249980i | −0.983419 | − | 0.181347i | \(-0.941954\pi\) |
0.902196 | + | 0.431327i | \(0.141954\pi\) | |||||||
\(860\) | −1.26161 | − | 7.97246i | −0.0430205 | − | 0.271859i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 3.28823 | − | 10.1201i | 0.111998 | − | 0.344693i | ||||
\(863\) | 11.5192 | − | 35.4524i | 0.392118 | − | 1.20682i | −0.539065 | − | 0.842264i | \(-0.681222\pi\) |
0.931183 | − | 0.364551i | \(-0.118778\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 15.5900 | + | 2.47138i | 0.530077 | + | 0.0840294i | ||||
\(866\) | 9.68092 | − | 29.7948i | 0.328971 | − | 1.01247i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0.845432 | 0.0286958 | ||||||||
\(869\) | 0.743657 | + | 0.540298i | 0.0252268 | + | 0.0183284i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 27.6318 | − | 20.0756i | 0.936266 | − | 0.680237i | ||||
\(872\) | −0.362365 | + | 0.263273i | −0.0122712 | + | 0.00891557i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −10.3667 | −0.350660 | ||||||||
\(875\) | −52.7862 | + | 8.33855i | −1.78450 | + | 0.281894i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 7.14903 | + | 22.0025i | 0.241406 | + | 0.742971i | 0.996207 | + | 0.0870168i | \(0.0277334\pi\) |
−0.754801 | + | 0.655954i | \(0.772267\pi\) | |||||||
\(878\) | −3.26133 | + | 2.36949i | −0.110064 | + | 0.0799665i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.259067 | − | 0.508278i | 0.00873315 | − | 0.0171340i | ||||
\(881\) | 35.0397 | + | 25.4578i | 1.18052 | + | 0.857697i | 0.992230 | − | 0.124417i | \(-0.0397061\pi\) |
0.188288 | + | 0.982114i | \(0.439706\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −3.84558 | − | 2.79398i | −0.129414 | − | 0.0940248i | 0.521195 | − | 0.853438i | \(-0.325486\pi\) |
−0.650609 | + | 0.759413i | \(0.725486\pi\) | |||||||
\(884\) | 3.08839 | − | 9.50509i | 0.103874 | − | 0.319691i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 6.05796 | + | 18.6445i | 0.203521 | + | 0.626374i | ||||
\(887\) | 11.2840 | − | 34.7286i | 0.378879 | − | 1.16607i | −0.561944 | − | 0.827175i | \(-0.689947\pi\) |
0.940824 | − | 0.338896i | \(-0.110053\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −4.46673 | − | 13.7472i | −0.149809 | − | 0.461066i | ||||
\(890\) | 3.90893 | + | 24.7017i | 0.131028 | + | 0.828002i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 17.5523 | + | 12.7525i | 0.587696 | + | 0.426986i | ||||
\(893\) | −10.4358 | −0.349221 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −1.76142 | − | 11.1309i | −0.0588778 | − | 0.372066i | ||||
\(896\) | 3.86701 | − | 2.80955i | 0.129188 | − | 0.0938603i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 8.44011 | + | 25.9760i | 0.281650 | + | 0.866830i | ||||
\(899\) | −1.12351 | −0.0374710 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −31.4773 | −1.04866 | ||||||||
\(902\) | −0.173850 | − | 0.535055i | −0.00578857 | − | 0.0178154i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −9.98342 | + | 7.25338i | −0.332044 | + | 0.241244i | ||||
\(905\) | −12.0765 | + | 6.15125i | −0.401438 | + | 0.204474i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 54.2897 | 1.80266 | 0.901330 | − | 0.433133i | \(-0.142592\pi\) | ||||
0.901330 | + | 0.433133i | \(0.142592\pi\) | |||||||
\(908\) | 13.5883 | + | 9.87244i | 0.450942 | + | 0.327629i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 20.8024 | − | 40.8134i | 0.689594 | − | 1.35295i | ||||
\(911\) | 2.56443 | + | 7.89251i | 0.0849635 | + | 0.261491i | 0.984508 | − | 0.175338i | \(-0.0561017\pi\) |
−0.899545 | + | 0.436828i | \(0.856102\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −1.25547 | + | 3.86393i | −0.0415499 | + | 0.127877i | ||||
\(914\) | 4.74426 | + | 14.6013i | 0.156926 | + | 0.482969i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 1.00749 | − | 3.10073i | 0.0332883 | − | 0.102451i | ||||
\(917\) | 36.6486 | + | 26.6268i | 1.21024 | + | 0.879293i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −9.89065 | − | 7.18597i | −0.326262 | − | 0.237043i | 0.412581 | − | 0.910921i | \(-0.364627\pi\) |
−0.738843 | + | 0.673878i | \(0.764627\pi\) | |||||||
\(920\) | −11.8236 | − | 11.8268i | −0.389811 | − | 0.389916i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 7.00535 | − | 5.08969i | 0.230709 | − | 0.167620i | ||||
\(923\) | −13.5495 | − | 41.7009i | −0.445986 | − | 1.37260i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −24.2388 | + | 7.86841i | −0.796967 | + | 0.258712i | ||||
\(926\) | −25.4630 | −0.836767 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −5.13892 | + | 3.73364i | −0.168693 | + | 0.122563i | ||||
\(929\) | −6.96620 | + | 5.06124i | −0.228553 | + | 0.166054i | −0.696169 | − | 0.717878i | \(-0.745113\pi\) |
0.467615 | + | 0.883932i | \(0.345113\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 17.7713 | + | 12.9116i | 0.582430 | + | 0.423160i | ||||
\(932\) | −13.7180 | −0.449347 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −1.57410 | + | 4.84457i | −0.0515060 | + | 0.158519i | ||||
\(935\) | 0.940538 | + | 0.940793i | 0.0307589 | + | 0.0307672i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 13.6897 | − | 42.1325i | 0.447222 | − | 1.37641i | −0.432806 | − | 0.901487i | \(-0.642476\pi\) |
0.880028 | − | 0.474922i | \(-0.157524\pi\) | |||||||
\(938\) | −11.7707 | + | 36.2263i | −0.384325 | + | 1.18283i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −11.9023 | − | 11.9056i | −0.388211 | − | 0.388316i | ||||
\(941\) | 8.33251 | − | 25.6448i | 0.271632 | − | 0.835997i | −0.718459 | − | 0.695569i | \(-0.755152\pi\) |
0.990091 | − | 0.140428i | \(-0.0448478\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −16.4916 | −0.537041 | ||||||||
\(944\) | 5.76910 | + | 4.19150i | 0.187768 | + | 0.136422i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −0.745076 | + | 0.541329i | −0.0242245 | + | 0.0176001i | ||||
\(947\) | 9.24006 | − | 6.71330i | 0.300262 | − | 0.218153i | −0.427445 | − | 0.904041i | \(-0.640586\pi\) |
0.727707 | + | 0.685889i | \(0.240586\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 41.3733 | 1.34303 | ||||||||
\(950\) | −6.59205 | + | 2.13991i | −0.213874 | + | 0.0694280i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 3.44429 | + | 10.6004i | 0.111630 | + | 0.343562i | ||||
\(953\) | −25.6659 | + | 18.6474i | −0.831401 | + | 0.604048i | −0.919955 | − | 0.392023i | \(-0.871775\pi\) |
0.0885547 | + | 0.996071i | \(0.471775\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −17.4935 | − | 17.4982i | −0.566075 | − | 0.566228i | ||||
\(956\) | −14.1977 | − | 10.3152i | −0.459185 | − | 0.333618i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −27.4641 | − | 19.9538i | −0.887324 | − | 0.644679i | ||||
\(959\) | −24.5052 | + | 75.4193i | −0.791315 | + | 2.43542i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −9.56986 | − | 29.4530i | −0.308705 | − | 0.950097i | ||||
\(962\) | 6.75039 | − | 20.7756i | 0.217641 | − | 0.669831i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −1.72397 | − | 5.30582i | −0.0555252 | − | 0.170889i | ||||
\(965\) | −5.13718 | + | 10.0789i | −0.165372 | + | 0.324452i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −17.0823 | − | 12.4110i | −0.549330 | − | 0.399112i | 0.278208 | − | 0.960521i | \(-0.410259\pi\) |
−0.827538 | + | 0.561409i | \(0.810259\pi\) | |||||||
\(968\) | 10.9349 | 0.351461 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −31.3899 | + | 15.9886i | −1.00787 | + | 0.513364i | ||||
\(971\) | 1.12518 | − | 0.817492i | 0.0361088 | − | 0.0262346i | −0.569584 | − | 0.821933i | \(-0.692896\pi\) |
0.605693 | + | 0.795698i | \(0.292896\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 29.0579 | + | 89.4310i | 0.931553 | + | 2.86703i | ||||
\(974\) | −6.29323 | −0.201648 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 11.8839 | 0.380394 | ||||||||
\(977\) | 11.1047 | + | 34.1767i | 0.355270 | + | 1.09341i | 0.955853 | + | 0.293846i | \(0.0949353\pi\) |
−0.600583 | + | 0.799563i | \(0.705065\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 2.30852 | − | 1.67724i | 0.0737808 | − | 0.0536049i | ||||
\(980\) | 5.53862 | + | 35.0001i | 0.176925 | + | 1.11804i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −0.480196 | −0.0153237 | ||||||||
\(983\) | −14.6863 | − | 10.6702i | −0.468420 | − | 0.340327i | 0.328405 | − | 0.944537i | \(-0.393489\pi\) |
−0.796825 | + | 0.604210i | \(0.793489\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −5.07632 | − | 32.0787i | −0.161745 | − | 1.02211i | ||||
\(986\) | −4.57716 | − | 14.0871i | −0.145767 | − | 0.448623i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 1.83585 | − | 5.65018i | 0.0584063 | − | 0.179756i | ||||
\(989\) | 8.34252 | + | 25.6756i | 0.265277 | + | 0.816437i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −9.75115 | + | 30.0110i | −0.309756 | + | 0.953329i | 0.668104 | + | 0.744068i | \(0.267106\pi\) |
−0.977860 | + | 0.209262i | \(0.932894\pi\) | |||||||
\(992\) | 0.143093 | + | 0.103963i | 0.00454321 | + | 0.00330084i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 39.5608 | + | 28.7426i | 1.25479 | + | 0.911659i | ||||
\(995\) | −13.5570 | + | 26.5983i | −0.429786 | + | 0.843221i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 26.4297 | − | 19.2023i | 0.837037 | − | 0.608143i | −0.0845046 | − | 0.996423i | \(-0.526931\pi\) |
0.921541 | + | 0.388280i | \(0.126931\pi\) | |||||||
\(998\) | 13.2502 | + | 40.7799i | 0.419427 | + | 1.29086i | ||||
\(999\) | 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 | 450.2.h.g.181.2 | yes | 12 | |
3.2 | odd | 2 | 450.2.h.f.181.2 | ✓ | 12 | ||
25.21 | even | 5 | inner | 450.2.h.g.271.2 | yes | 12 | |
75.71 | odd | 10 | 450.2.h.f.271.2 | yes | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
450.2.h.f.181.2 | ✓ | 12 | 3.2 | odd | 2 | ||
450.2.h.f.271.2 | yes | 12 | 75.71 | odd | 10 | ||
450.2.h.g.181.2 | yes | 12 | 1.1 | even | 1 | trivial | |
450.2.h.g.271.2 | yes | 12 | 25.21 | even | 5 | inner |