Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [65,2,Mod(8,65)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(65, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("65.8");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 65 = 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 65.k (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.519027613138\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(i)\) |
Coefficient field: | 8.0.619810816.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 2x^{5} + 14x^{4} - 8x^{3} + 2x^{2} + 2x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 57.3 | ||
Root | \(-1.49094 - 1.49094i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 65.57 |
Dual form | 65.2.k.b.8.3 |
$q$-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 \(\left(\mathbb{Z}/65\mathbb{Z}\right)^\times\).
\(n\) | \(27\) | \(41\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.134632 | −0.0951991 | −0.0475996 | − | 0.998866i | \(-0.515157\pi\) | ||||
−0.0475996 | + | 0.998866i | \(0.515157\pi\) | |||||||
\(3\) | −2.15558 | + | 2.15558i | −1.24452 | + | 1.24452i | −0.286419 | + | 0.958105i | \(0.592465\pi\) |
−0.958105 | + | 0.286419i | \(0.907535\pi\) | |||||||
\(4\) | −1.98187 | −0.990937 | ||||||||
\(5\) | 1.82630 | + | 1.29021i | 0.816745 | + | 0.576999i | ||||
\(6\) | 0.290209 | − | 0.290209i | 0.118478 | − | 0.118478i | ||||
\(7\) | 1.90970i | 0.721799i | 0.932605 | + | 0.360899i | \(0.117530\pi\) | ||||
−0.932605 | + | 0.360899i | \(0.882470\pi\) | |||||||
\(8\) | 0.536087 | 0.189535 | ||||||||
\(9\) | − | 6.29303i | − | 2.09768i | ||||||
\(10\) | −0.245878 | − | 0.173703i | −0.0777534 | − | 0.0549298i | ||||
\(11\) | −0.290209 | − | 0.290209i | −0.0875014 | − | 0.0875014i | 0.662001 | − | 0.749503i | \(-0.269707\pi\) |
−0.749503 | + | 0.662001i | \(0.769707\pi\) | |||||||
\(12\) | 4.27208 | − | 4.27208i | 1.23324 | − | 1.23324i | ||||
\(13\) | 3.60136 | − | 0.173703i | 0.998839 | − | 0.0481766i | ||||
\(14\) | − | 0.257106i | − | 0.0687146i | ||||||
\(15\) | −6.71787 | + | 1.15558i | −1.73455 | + | 0.298369i | ||||
\(16\) | 3.89157 | 0.972894 | ||||||||
\(17\) | −2.53609 | + | 2.53609i | −0.615091 | + | 0.615091i | −0.944268 | − | 0.329177i | \(-0.893229\pi\) |
0.329177 | + | 0.944268i | \(0.393229\pi\) | |||||||
\(18\) | 0.847242i | 0.199697i | ||||||||
\(19\) | 3.15558 | + | 3.15558i | 0.723939 | + | 0.723939i | 0.969405 | − | 0.245466i | \(-0.0789410\pi\) |
−0.245466 | + | 0.969405i | \(0.578941\pi\) | |||||||
\(20\) | −3.61949 | − | 2.55703i | −0.809343 | − | 0.571770i | ||||
\(21\) | −4.11651 | − | 4.11651i | −0.898295 | − | 0.898295i | ||||
\(22\) | 0.0390714 | + | 0.0390714i | 0.00833006 | + | 0.00833006i | ||||
\(23\) | −2.27208 | − | 2.27208i | −0.473762 | − | 0.473762i | 0.429368 | − | 0.903130i | \(-0.358736\pi\) |
−0.903130 | + | 0.429368i | \(0.858736\pi\) | |||||||
\(24\) | −1.15558 | + | 1.15558i | −0.235881 | + | 0.235881i | ||||
\(25\) | 1.67072 | + | 4.71261i | 0.334144 | + | 0.942522i | ||||
\(26\) | −0.484858 | + | 0.0233860i | −0.0950886 | + | 0.00458637i | ||||
\(27\) | 7.09838 | + | 7.09838i | 1.36608 | + | 1.36608i | ||||
\(28\) | − | 3.78478i | − | 0.715257i | ||||||
\(29\) | − | 2.40146i | − | 0.445939i | −0.974825 | − | 0.222970i | \(-0.928425\pi\) | ||
0.974825 | − | 0.222970i | \(-0.0715750\pi\) | |||||||
\(30\) | 0.904440 | − | 0.155578i | 0.165127 | − | 0.0284045i | ||||
\(31\) | 2.02095 | − | 2.02095i | 0.362973 | − | 0.362973i | −0.501934 | − | 0.864906i | \(-0.667378\pi\) |
0.864906 | + | 0.501934i | \(0.167378\pi\) | |||||||
\(32\) | −1.59610 | −0.282154 | ||||||||
\(33\) | 1.25114 | 0.217795 | ||||||||
\(34\) | 0.341438 | − | 0.341438i | 0.0585562 | − | 0.0585562i | ||||
\(35\) | −2.46391 | + | 3.48768i | −0.416477 | + | 0.589525i | ||||
\(36\) | 12.4720i | 2.07867i | ||||||||
\(37\) | − | 5.32928i | − | 0.876128i | −0.898944 | − | 0.438064i | \(-0.855664\pi\) | ||
0.898944 | − | 0.438064i | \(-0.144336\pi\) | |||||||
\(38\) | −0.424841 | − | 0.424841i | −0.0689184 | − | 0.0689184i | ||||
\(39\) | −7.38859 | + | 8.13745i | −1.18312 | + | 1.30304i | ||||
\(40\) | 0.979054 | + | 0.691665i | 0.154802 | + | 0.109362i | ||||
\(41\) | −1.51796 | + | 1.51796i | −0.237066 | + | 0.237066i | −0.815634 | − | 0.578568i | \(-0.803612\pi\) |
0.578568 | + | 0.815634i | \(0.303612\pi\) | |||||||
\(42\) | 0.554213 | + | 0.554213i | 0.0855169 | + | 0.0855169i | ||||
\(43\) | 0.888754 | + | 0.888754i | 0.135534 | + | 0.135534i | 0.771619 | − | 0.636085i | \(-0.219447\pi\) |
−0.636085 | + | 0.771619i | \(0.719447\pi\) | |||||||
\(44\) | 0.575159 | + | 0.575159i | 0.0867084 | + | 0.0867084i | ||||
\(45\) | 8.11933 | − | 11.4929i | 1.21036 | − | 1.71327i | ||||
\(46\) | 0.305895 | + | 0.305895i | 0.0451017 | + | 0.0451017i | ||||
\(47\) | − | 6.94562i | − | 1.01312i | −0.862204 | − | 0.506562i | \(-0.830916\pi\) | ||
0.862204 | − | 0.506562i | \(-0.169084\pi\) | |||||||
\(48\) | −8.38859 | + | 8.38859i | −1.21079 | + | 1.21079i | ||||
\(49\) | 3.35305 | 0.479007 | ||||||||
\(50\) | −0.224932 | − | 0.634468i | −0.0318102 | − | 0.0897273i | ||||
\(51\) | − | 10.9335i | − | 1.53099i | ||||||
\(52\) | −7.13745 | + | 0.344258i | −0.989786 | + | 0.0477400i | ||||
\(53\) | −1.09030 | + | 1.09030i | −0.149764 | + | 0.149764i | −0.778013 | − | 0.628248i | \(-0.783772\pi\) |
0.628248 | + | 0.778013i | \(0.283772\pi\) | |||||||
\(54\) | −0.955668 | − | 0.955668i | −0.130050 | − | 0.130050i | ||||
\(55\) | −0.155578 | − | 0.904440i | −0.0209781 | − | 0.121955i | ||||
\(56\) | 1.02377i | 0.136806i | ||||||||
\(57\) | −13.6042 | −1.80192 | ||||||||
\(58\) | 0.323312i | 0.0424530i | ||||||||
\(59\) | 8.31642 | − | 8.31642i | 1.08271 | − | 1.08271i | 0.0864488 | − | 0.996256i | \(-0.472448\pi\) |
0.996256 | − | 0.0864488i | \(-0.0275519\pi\) | |||||||
\(60\) | 13.3140 | − | 2.29021i | 1.71883 | − | 0.295665i | ||||
\(61\) | 7.17300 | 0.918408 | 0.459204 | − | 0.888331i | \(-0.348135\pi\) | ||||
0.459204 | + | 0.888331i | \(0.348135\pi\) | |||||||
\(62\) | −0.272084 | + | 0.272084i | −0.0345547 | + | 0.0345547i | ||||
\(63\) | 12.0178 | 1.51410 | ||||||||
\(64\) | −7.56826 | −0.946033 | ||||||||
\(65\) | 6.80127 | + | 4.32928i | 0.843594 | + | 0.536981i | ||||
\(66\) | −0.168443 | −0.0207339 | ||||||||
\(67\) | −0.939983 | −0.114837 | −0.0574186 | − | 0.998350i | \(-0.518287\pi\) | ||||
−0.0574186 | + | 0.998350i | \(0.518287\pi\) | |||||||
\(68\) | 5.02621 | − | 5.02621i | 0.609517 | − | 0.609517i | ||||
\(69\) | 9.79531 | 1.17922 | ||||||||
\(70\) | 0.331721 | − | 0.469553i | 0.0396483 | − | 0.0561223i | ||||
\(71\) | −7.37643 | + | 7.37643i | −0.875421 | + | 0.875421i | −0.993057 | − | 0.117635i | \(-0.962469\pi\) |
0.117635 | + | 0.993057i | \(0.462469\pi\) | |||||||
\(72\) | − | 3.37361i | − | 0.397584i | ||||||
\(73\) | −6.63447 | −0.776506 | −0.388253 | − | 0.921553i | \(-0.626921\pi\) | ||||
−0.388253 | + | 0.921553i | \(0.626921\pi\) | |||||||
\(74\) | 0.717491i | 0.0834066i | ||||||||
\(75\) | −13.7598 | − | 6.55703i | −1.58884 | − | 0.757141i | ||||
\(76\) | −6.25396 | − | 6.25396i | −0.717378 | − | 0.717378i | ||||
\(77\) | 0.554213 | − | 0.554213i | 0.0631584 | − | 0.0631584i | ||||
\(78\) | 0.994740 | − | 1.09556i | 0.112632 | − | 0.124048i | ||||
\(79\) | 4.39982i | 0.495018i | 0.968886 | + | 0.247509i | \(0.0796120\pi\) | ||||
−0.968886 | + | 0.247509i | \(0.920388\pi\) | |||||||
\(80\) | 7.10717 | + | 5.02095i | 0.794606 | + | 0.561359i | ||||
\(81\) | −11.7231 | −1.30257 | ||||||||
\(82\) | 0.204366 | − | 0.204366i | 0.0225684 | − | 0.0225684i | ||||
\(83\) | − | 13.4842i | − | 1.48008i | −0.672564 | − | 0.740039i | \(-0.734807\pi\) | ||
0.672564 | − | 0.740039i | \(-0.265193\pi\) | |||||||
\(84\) | 8.15840 | + | 8.15840i | 0.890154 | + | 0.890154i | ||||
\(85\) | −7.90373 | + | 1.35956i | −0.857280 | + | 0.147465i | ||||
\(86\) | −0.119655 | − | 0.119655i | −0.0129027 | − | 0.0129027i | ||||
\(87\) | 5.17652 | + | 5.17652i | 0.554982 | + | 0.554982i | ||||
\(88\) | −0.155578 | − | 0.155578i | −0.0165846 | − | 0.0165846i | ||||
\(89\) | −10.0238 | + | 10.0238i | −1.06252 | + | 1.06252i | −0.0646062 | + | 0.997911i | \(0.520579\pi\) |
−0.997911 | + | 0.0646062i | \(0.979421\pi\) | |||||||
\(90\) | −1.09312 | + | 1.54732i | −0.115225 | + | 0.163101i | ||||
\(91\) | 0.331721 | + | 6.87753i | 0.0347738 | + | 0.720961i | ||||
\(92\) | 4.50298 | + | 4.50298i | 0.469469 | + | 0.469469i | ||||
\(93\) | 8.71261i | 0.903456i | ||||||||
\(94\) | 0.935102i | 0.0964484i | ||||||||
\(95\) | 1.69166 | + | 9.83438i | 0.173561 | + | 1.00899i | ||||
\(96\) | 3.44053 | − | 3.44053i | 0.351147 | − | 0.351147i | ||||
\(97\) | −4.39982 | −0.446734 | −0.223367 | − | 0.974734i | \(-0.571705\pi\) | ||||
−0.223367 | + | 0.974734i | \(0.571705\pi\) | |||||||
\(98\) | −0.451427 | −0.0456010 | ||||||||
\(99\) | −1.82630 | + | 1.82630i | −0.183550 | + | 0.183550i | ||||
\(100\) | −3.31116 | − | 9.33980i | −0.331116 | − | 0.933980i | ||||
\(101\) | − | 3.55014i | − | 0.353252i | −0.984278 | − | 0.176626i | \(-0.943482\pi\) | ||
0.984278 | − | 0.176626i | \(-0.0565183\pi\) | |||||||
\(102\) | 1.47199i | 0.145749i | ||||||||
\(103\) | 7.44861 | + | 7.44861i | 0.733933 | + | 0.733933i | 0.971396 | − | 0.237463i | \(-0.0763160\pi\) |
−0.237463 | + | 0.971396i | \(0.576316\pi\) | |||||||
\(104\) | 1.93065 | − | 0.0931201i | 0.189315 | − | 0.00913118i | ||||
\(105\) | −2.20681 | − | 12.8291i | −0.215362 | − | 1.25199i | ||||
\(106\) | 0.146789 | − | 0.146789i | 0.0142574 | − | 0.0142574i | ||||
\(107\) | 9.56511 | + | 9.56511i | 0.924694 | + | 0.924694i | 0.997357 | − | 0.0726622i | \(-0.0231495\pi\) |
−0.0726622 | + | 0.997357i | \(0.523150\pi\) | |||||||
\(108\) | −14.0681 | − | 14.0681i | −1.35370 | − | 1.35370i | ||||
\(109\) | 8.08622 | + | 8.08622i | 0.774520 | + | 0.774520i | 0.978893 | − | 0.204373i | \(-0.0655156\pi\) |
−0.204373 | + | 0.978893i | \(0.565516\pi\) | |||||||
\(110\) | 0.0209457 | + | 0.121766i | 0.00199709 | + | 0.0116100i | ||||
\(111\) | 11.4877 | + | 11.4877i | 1.09036 | + | 1.09036i | ||||
\(112\) | 7.43174i | 0.702233i | ||||||||
\(113\) | 4.97943 | − | 4.97943i | 0.468426 | − | 0.468426i | −0.432979 | − | 0.901404i | \(-0.642537\pi\) |
0.901404 | + | 0.432979i | \(0.142537\pi\) | |||||||
\(114\) | 1.83156 | 0.171541 | ||||||||
\(115\) | −1.21804 | − | 7.08096i | −0.113582 | − | 0.660303i | ||||
\(116\) | 4.75938i | 0.441898i | ||||||||
\(117\) | −1.09312 | − | 22.6635i | −0.101059 | − | 2.09524i | ||||
\(118\) | −1.11965 | + | 1.11965i | −0.103073 | + | 0.103073i | ||||
\(119\) | −4.84317 | − | 4.84317i | −0.443972 | − | 0.443972i | ||||
\(120\) | −3.60136 | + | 0.619490i | −0.328758 | + | 0.0565515i | ||||
\(121\) | − | 10.8316i | − | 0.984687i | ||||||
\(122\) | −0.965714 | −0.0874316 | ||||||||
\(123\) | − | 6.54417i | − | 0.590068i | ||||||
\(124\) | −4.00526 | + | 4.00526i | −0.359683 | + | 0.359683i | ||||
\(125\) | −3.02903 | + | 10.7622i | −0.270924 | + | 0.962601i | ||||
\(126\) | −1.61798 | −0.144141 | ||||||||
\(127\) | 7.01742 | − | 7.01742i | 0.622695 | − | 0.622695i | −0.323525 | − | 0.946220i | \(-0.604868\pi\) |
0.946220 | + | 0.323525i | \(0.104868\pi\) | |||||||
\(128\) | 4.21114 | 0.372216 | ||||||||
\(129\) | −3.83156 | −0.337350 | ||||||||
\(130\) | −0.915668 | − | 0.582859i | −0.0803094 | − | 0.0511201i | ||||
\(131\) | −11.3052 | −0.987739 | −0.493869 | − | 0.869536i | \(-0.664418\pi\) | ||||
−0.493869 | + | 0.869536i | \(0.664418\pi\) | |||||||
\(132\) | −2.47960 | −0.215821 | ||||||||
\(133\) | −6.02621 | + | 6.02621i | −0.522538 | + | 0.522538i | ||||
\(134\) | 0.126552 | 0.0109324 | ||||||||
\(135\) | 3.80535 | + | 22.1221i | 0.327512 | + | 1.90397i | ||||
\(136\) | −1.35956 | + | 1.35956i | −0.116582 | + | 0.116582i | ||||
\(137\) | 1.92186i | 0.164195i | 0.996624 | + | 0.0820977i | \(0.0261619\pi\) | ||||
−0.996624 | + | 0.0820977i | \(0.973838\pi\) | |||||||
\(138\) | −1.31876 | −0.112260 | ||||||||
\(139\) | − | 15.2914i | − | 1.29700i | −0.761215 | − | 0.648499i | \(-0.775397\pi\) | ||
0.761215 | − | 0.648499i | \(-0.224603\pi\) | |||||||
\(140\) | 4.88317 | − | 6.91214i | 0.412703 | − | 0.584182i | ||||
\(141\) | 14.9718 | + | 14.9718i | 1.26086 | + | 1.26086i | ||||
\(142\) | 0.993103 | − | 0.993103i | 0.0833394 | − | 0.0833394i | ||||
\(143\) | −1.09556 | − | 0.994740i | −0.0916154 | − | 0.0831843i | ||||
\(144\) | − | 24.4898i | − | 2.04082i | ||||||
\(145\) | 3.09838 | − | 4.38577i | 0.257306 | − | 0.364218i | ||||
\(146\) | 0.893211 | 0.0739227 | ||||||||
\(147\) | −7.22775 | + | 7.22775i | −0.596135 | + | 0.596135i | ||||
\(148\) | 10.5620i | 0.868188i | ||||||||
\(149\) | −13.8291 | − | 13.8291i | −1.13293 | − | 1.13293i | −0.989688 | − | 0.143237i | \(-0.954249\pi\) |
−0.143237 | − | 0.989688i | \(-0.545751\pi\) | |||||||
\(150\) | 1.85250 | + | 0.882786i | 0.151256 | + | 0.0720791i | ||||
\(151\) | −8.55106 | − | 8.55106i | −0.695876 | − | 0.695876i | 0.267643 | − | 0.963518i | \(-0.413755\pi\) |
−0.963518 | + | 0.267643i | \(0.913755\pi\) | |||||||
\(152\) | 1.69166 | + | 1.69166i | 0.137212 | + | 0.137212i | ||||
\(153\) | 15.9597 | + | 15.9597i | 1.29026 | + | 1.29026i | ||||
\(154\) | −0.0746147 | + | 0.0746147i | −0.00601263 | + | 0.00601263i | ||||
\(155\) | 6.29829 | − | 1.08340i | 0.505891 | − | 0.0870210i | ||||
\(156\) | 14.6433 | − | 16.1274i | 1.17240 | − | 1.29123i | ||||
\(157\) | −4.00808 | − | 4.00808i | −0.319880 | − | 0.319880i | 0.528841 | − | 0.848721i | \(-0.322627\pi\) |
−0.848721 | + | 0.528841i | \(0.822627\pi\) | |||||||
\(158\) | − | 0.592356i | − | 0.0471253i | ||||||
\(159\) | − | 4.70045i | − | 0.372770i | ||||||
\(160\) | −2.91496 | − | 2.05931i | −0.230448 | − | 0.162803i | ||||
\(161\) | 4.33900 | − | 4.33900i | 0.341961 | − | 0.341961i | ||||
\(162\) | 1.57831 | 0.124004 | ||||||||
\(163\) | −13.2930 | −1.04119 | −0.520595 | − | 0.853804i | \(-0.674290\pi\) | ||||
−0.520595 | + | 0.853804i | \(0.674290\pi\) | |||||||
\(164\) | 3.00841 | − | 3.00841i | 0.234917 | − | 0.234917i | ||||
\(165\) | 2.28495 | + | 1.61423i | 0.177883 | + | 0.125668i | ||||
\(166\) | 1.81540i | 0.140902i | ||||||||
\(167\) | − | 12.9980i | − | 1.00582i | −0.864339 | − | 0.502909i | \(-0.832263\pi\) | ||
0.864339 | − | 0.502909i | \(-0.167737\pi\) | |||||||
\(168\) | −2.20681 | − | 2.20681i | −0.170259 | − | 0.170259i | ||||
\(169\) | 12.9397 | − | 1.25114i | 0.995358 | − | 0.0962414i | ||||
\(170\) | 1.06409 | − | 0.183041i | 0.0816123 | − | 0.0140386i | ||||
\(171\) | 19.8581 | − | 19.8581i | 1.51859 | − | 1.51859i | ||||
\(172\) | −1.76140 | − | 1.76140i | −0.134305 | − | 0.134305i | ||||
\(173\) | 10.3052 | + | 10.3052i | 0.783489 | + | 0.783489i | 0.980418 | − | 0.196929i | \(-0.0630968\pi\) |
−0.196929 | + | 0.980418i | \(0.563097\pi\) | |||||||
\(174\) | −0.696925 | − | 0.696925i | −0.0528338 | − | 0.0528338i | ||||
\(175\) | −8.99967 | + | 3.19057i | −0.680311 | + | 0.241185i | ||||
\(176\) | −1.12937 | − | 1.12937i | −0.0851296 | − | 0.0851296i | ||||
\(177\) | 35.8534i | 2.69490i | ||||||||
\(178\) | 1.34952 | − | 1.34952i | 0.101151 | − | 0.101151i | ||||
\(179\) | −6.59094 | −0.492630 | −0.246315 | − | 0.969190i | \(-0.579220\pi\) | ||||
−0.246315 | + | 0.969190i | \(0.579220\pi\) | |||||||
\(180\) | −16.0915 | + | 22.7776i | −1.19939 | + | 1.69774i | ||||
\(181\) | 15.7953i | 1.17406i | 0.809567 | + | 0.587028i | \(0.199702\pi\) | ||||
−0.809567 | + | 0.587028i | \(0.800298\pi\) | |||||||
\(182\) | −0.0446602 | − | 0.925934i | −0.00331044 | − | 0.0686348i | ||||
\(183\) | −15.4619 | + | 15.4619i | −1.14298 | + | 1.14298i | ||||
\(184\) | −1.21804 | − | 1.21804i | −0.0897947 | − | 0.0897947i | ||||
\(185\) | 6.87589 | − | 9.73285i | 0.505525 | − | 0.715573i | ||||
\(186\) | − | 1.17300i | − | 0.0860082i | ||||||
\(187\) | 1.47199 | 0.107643 | ||||||||
\(188\) | 13.7654i | 1.00394i | ||||||||
\(189\) | −13.5558 | + | 13.5558i | −0.986038 | + | 0.986038i | ||||
\(190\) | −0.227752 | − | 1.32402i | −0.0165229 | − | 0.0960546i | ||||
\(191\) | −13.0116 | −0.941487 | −0.470743 | − | 0.882270i | \(-0.656014\pi\) | ||||
−0.470743 | + | 0.882270i | \(0.656014\pi\) | |||||||
\(192\) | 16.3140 | − | 16.3140i | 1.17736 | − | 1.17736i | ||||
\(193\) | −17.4833 | −1.25847 | −0.629237 | − | 0.777214i | \(-0.716632\pi\) | ||||
−0.629237 | + | 0.777214i | \(0.716632\pi\) | |||||||
\(194\) | 0.592356 | 0.0425287 | ||||||||
\(195\) | −23.9928 | + | 5.32857i | −1.71816 | + | 0.381587i | ||||
\(196\) | −6.64532 | −0.474665 | ||||||||
\(197\) | 14.2749 | 1.01704 | 0.508522 | − | 0.861049i | \(-0.330192\pi\) | ||||
0.508522 | + | 0.861049i | \(0.330192\pi\) | |||||||
\(198\) | 0.245878 | − | 0.245878i | 0.0174738 | − | 0.0174738i | ||||
\(199\) | −4.76666 | −0.337900 | −0.168950 | − | 0.985625i | \(-0.554038\pi\) | ||||
−0.168950 | + | 0.985625i | \(0.554038\pi\) | |||||||
\(200\) | 0.895651 | + | 2.52637i | 0.0633321 | + | 0.178641i | ||||
\(201\) | 2.02621 | − | 2.02621i | 0.142918 | − | 0.142918i | ||||
\(202\) | 0.477961i | 0.0336293i | ||||||||
\(203\) | 4.58606 | 0.321878 | ||||||||
\(204\) | 21.6688i | 1.51712i | ||||||||
\(205\) | −4.73074 | + | 0.813760i | −0.330409 | + | 0.0568354i | ||||
\(206\) | −1.00282 | − | 1.00282i | −0.0698698 | − | 0.0698698i | ||||
\(207\) | −14.2983 | + | 14.2983i | −0.993800 | + | 0.993800i | ||||
\(208\) | 14.0150 | − | 0.675979i | 0.971764 | − | 0.0468707i | ||||
\(209\) | − | 1.83156i | − | 0.126691i | ||||||
\(210\) | 0.297106 | + | 1.72721i | 0.0205023 | + | 0.119189i | ||||
\(211\) | 11.6025 | 0.798752 | 0.399376 | − | 0.916787i | \(-0.369227\pi\) | ||||
0.399376 | + | 0.916787i | \(0.369227\pi\) | |||||||
\(212\) | 2.16084 | − | 2.16084i | 0.148407 | − | 0.148407i | ||||
\(213\) | − | 31.8009i | − | 2.17896i | ||||||
\(214\) | −1.28777 | − | 1.28777i | −0.0880301 | − | 0.0880301i | ||||
\(215\) | 0.476450 | + | 2.76981i | 0.0324936 | + | 0.188899i | ||||
\(216\) | 3.80535 | + | 3.80535i | 0.258921 | + | 0.258921i | ||||
\(217\) | 3.85940 | + | 3.85940i | 0.261993 | + | 0.261993i | ||||
\(218\) | −1.08866 | − | 1.08866i | −0.0737336 | − | 0.0737336i | ||||
\(219\) | 14.3011 | − | 14.3011i | 0.966379 | − | 0.966379i | ||||
\(220\) | 0.308335 | + | 1.79249i | 0.0207880 | + | 0.120849i | ||||
\(221\) | −8.69285 | + | 9.57390i | −0.584744 | + | 0.644010i | ||||
\(222\) | −1.54661 | − | 1.54661i | −0.103802 | − | 0.103802i | ||||
\(223\) | − | 15.2511i | − | 1.02129i | −0.859791 | − | 0.510646i | \(-0.829406\pi\) | ||
0.859791 | − | 0.510646i | \(-0.170594\pi\) | |||||||
\(224\) | − | 3.04808i | − | 0.203658i | ||||||
\(225\) | 29.6566 | − | 10.5139i | 1.97711 | − | 0.700926i | ||||
\(226\) | −0.670391 | + | 0.670391i | −0.0445937 | + | 0.0445937i | ||||
\(227\) | 15.4292 | 1.02407 | 0.512037 | − | 0.858964i | \(-0.328891\pi\) | ||||
0.512037 | + | 0.858964i | \(0.328891\pi\) | |||||||
\(228\) | 26.9618 | 1.78559 | ||||||||
\(229\) | 4.10191 | − | 4.10191i | 0.271062 | − | 0.271062i | −0.558466 | − | 0.829528i | \(-0.688610\pi\) |
0.829528 | + | 0.558466i | \(0.188610\pi\) | |||||||
\(230\) | 0.163986 | + | 0.953323i | 0.0108129 | + | 0.0628603i | ||||
\(231\) | 2.38930i | 0.157204i | ||||||||
\(232\) | − | 1.28739i | − | 0.0845213i | ||||||
\(233\) | −18.4776 | − | 18.4776i | −1.21051 | − | 1.21051i | −0.970859 | − | 0.239651i | \(-0.922967\pi\) |
−0.239651 | − | 0.970859i | \(-0.577033\pi\) | |||||||
\(234\) | 0.147169 | + | 3.05123i | 0.00962073 | + | 0.199465i | ||||
\(235\) | 8.96131 | − | 12.6848i | 0.584571 | − | 0.827463i | ||||
\(236\) | −16.4821 | + | 16.4821i | −1.07289 | + | 1.07289i | ||||
\(237\) | −9.48415 | − | 9.48415i | −0.616062 | − | 0.616062i | ||||
\(238\) | 0.652044 | + | 0.652044i | 0.0422658 | + | 0.0422658i | ||||
\(239\) | −7.82819 | − | 7.82819i | −0.506363 | − | 0.506363i | 0.407045 | − | 0.913408i | \(-0.366559\pi\) |
−0.913408 | + | 0.407045i | \(0.866559\pi\) | |||||||
\(240\) | −26.1431 | + | 4.49702i | −1.68753 | + | 0.290281i | ||||
\(241\) | −9.29059 | − | 9.29059i | −0.598459 | − | 0.598459i | 0.341443 | − | 0.939902i | \(-0.389084\pi\) |
−0.939902 | + | 0.341443i | \(0.889084\pi\) | |||||||
\(242\) | 1.45827i | 0.0937413i | ||||||||
\(243\) | 3.97498 | − | 3.97498i | 0.254995 | − | 0.254995i | ||||
\(244\) | −14.2160 | −0.910085 | ||||||||
\(245\) | 6.12366 | + | 4.32613i | 0.391226 | + | 0.276386i | ||||
\(246\) | 0.881054i | 0.0561739i | ||||||||
\(247\) | 11.9125 | + | 10.8163i | 0.757975 | + | 0.688222i | ||||
\(248\) | 1.08340 | − | 1.08340i | 0.0687962 | − | 0.0687962i | ||||
\(249\) | 29.0661 | + | 29.0661i | 1.84199 | + | 1.84199i | ||||
\(250\) | 0.407803 | − | 1.44894i | 0.0257918 | − | 0.0916387i | ||||
\(251\) | − | 13.4477i | − | 0.848810i | −0.905472 | − | 0.424405i | \(-0.860483\pi\) | ||
0.905472 | − | 0.424405i | \(-0.139517\pi\) | |||||||
\(252\) | −23.8178 | −1.50038 | ||||||||
\(253\) | 1.31876i | 0.0829098i | ||||||||
\(254\) | −0.944768 | + | 0.944768i | −0.0592800 | + | 0.0592800i | ||||
\(255\) | 14.1065 | − | 19.9678i | 0.883381 | − | 1.25043i | ||||
\(256\) | 14.5696 | 0.910598 | ||||||||
\(257\) | 2.36553 | − | 2.36553i | 0.147558 | − | 0.147558i | −0.629468 | − | 0.777026i | \(-0.716727\pi\) |
0.777026 | + | 0.629468i | \(0.216727\pi\) | |||||||
\(258\) | 0.515850 | 0.0321154 | ||||||||
\(259\) | 10.1773 | 0.632388 | ||||||||
\(260\) | −13.4793 | − | 8.58009i | −0.835949 | − | 0.532115i | ||||
\(261\) | −15.1124 | −0.935436 | ||||||||
\(262\) | 1.52204 | 0.0940319 | ||||||||
\(263\) | −10.3418 | + | 10.3418i | −0.637704 | + | 0.637704i | −0.949989 | − | 0.312285i | \(-0.898906\pi\) |
0.312285 | + | 0.949989i | \(0.398906\pi\) | |||||||
\(264\) | 0.670719 | 0.0412799 | ||||||||
\(265\) | −3.39793 | + | 0.584496i | −0.208733 | + | 0.0359053i | ||||
\(266\) | 0.811319 | − | 0.811319i | 0.0497452 | − | 0.0497452i | ||||
\(267\) | − | 43.2140i | − | 2.64465i | ||||||
\(268\) | 1.86293 | 0.113796 | ||||||||
\(269\) | 31.6138i | 1.92753i | 0.266754 | + | 0.963765i | \(0.414049\pi\) | ||||
−0.266754 | + | 0.963765i | \(0.585951\pi\) | |||||||
\(270\) | −0.512322 | − | 2.97835i | −0.0311789 | − | 0.181256i | ||||
\(271\) | 20.1850 | + | 20.1850i | 1.22615 | + | 1.22615i | 0.965409 | + | 0.260742i | \(0.0839671\pi\) |
0.260742 | + | 0.965409i | \(0.416033\pi\) | |||||||
\(272\) | −9.86937 | + | 9.86937i | −0.598419 | + | 0.598419i | ||||
\(273\) | −15.5401 | − | 14.1100i | −0.940529 | − | 0.853975i | ||||
\(274\) | − | 0.258743i | − | 0.0156313i | ||||||
\(275\) | 0.882786 | − | 1.85250i | 0.0532340 | − | 0.111710i | ||||
\(276\) | −19.4131 | −1.16853 | ||||||||
\(277\) | −9.04189 | + | 9.04189i | −0.543275 | + | 0.543275i | −0.924487 | − | 0.381213i | \(-0.875507\pi\) |
0.381213 | + | 0.924487i | \(0.375507\pi\) | |||||||
\(278\) | 2.05871i | 0.123473i | ||||||||
\(279\) | −12.7179 | − | 12.7179i | −0.761399 | − | 0.761399i | ||||
\(280\) | −1.32087 | + | 1.86970i | −0.0789372 | + | 0.111736i | ||||
\(281\) | 6.06213 | + | 6.06213i | 0.361636 | + | 0.361636i | 0.864415 | − | 0.502779i | \(-0.167689\pi\) |
−0.502779 | + | 0.864415i | \(0.667689\pi\) | |||||||
\(282\) | −2.01569 | − | 2.01569i | −0.120032 | − | 0.120032i | ||||
\(283\) | 10.6076 | + | 10.6076i | 0.630554 | + | 0.630554i | 0.948207 | − | 0.317653i | \(-0.102895\pi\) |
−0.317653 | + | 0.948207i | \(0.602895\pi\) | |||||||
\(284\) | 14.6192 | − | 14.6192i | 0.867488 | − | 0.867488i | ||||
\(285\) | −24.8453 | − | 17.5522i | −1.47171 | − | 1.03971i | ||||
\(286\) | 0.147497 | + | 0.133924i | 0.00872170 | + | 0.00791907i | ||||
\(287\) | −2.89885 | − | 2.89885i | −0.171114 | − | 0.171114i | ||||
\(288\) | 10.0443i | 0.591868i | ||||||||
\(289\) | 4.13652i | 0.243325i | ||||||||
\(290\) | −0.417141 | + | 0.590464i | −0.0244953 | + | 0.0346733i | ||||
\(291\) | 9.48415 | − | 9.48415i | 0.555971 | − | 0.555971i | ||||
\(292\) | 13.1487 | 0.769468 | ||||||||
\(293\) | 21.9991 | 1.28520 | 0.642601 | − | 0.766201i | \(-0.277855\pi\) | ||||
0.642601 | + | 0.766201i | \(0.277855\pi\) | |||||||
\(294\) | 0.973086 | − | 0.973086i | 0.0567515 | − | 0.0567515i | ||||
\(295\) | 25.9182 | − | 4.45832i | 1.50901 | − | 0.259574i | ||||
\(296\) | − | 2.85696i | − | 0.166057i | ||||||
\(297\) | − | 4.12003i | − | 0.239069i | ||||||
\(298\) | 1.86184 | + | 1.86184i | 0.107853 | + | 0.107853i | ||||
\(299\) | −8.57727 | − | 7.78793i | −0.496036 | − | 0.450388i | ||||
\(300\) | 27.2701 | + | 12.9952i | 1.57444 | + | 0.750279i | ||||
\(301\) | −1.69725 | + | 1.69725i | −0.0978281 | + | 0.0978281i | ||||
\(302\) | 1.15125 | + | 1.15125i | 0.0662468 | + | 0.0662468i | ||||
\(303\) | 7.65259 | + | 7.65259i | 0.439630 | + | 0.439630i | ||||
\(304\) | 12.2802 | + | 12.2802i | 0.704316 | + | 0.704316i | ||||
\(305\) | 13.1000 | + | 9.25467i | 0.750105 | + | 0.529921i | ||||
\(306\) | −2.14868 | − | 2.14868i | −0.122832 | − | 0.122832i | ||||
\(307\) | 9.59930i | 0.547861i | 0.961749 | + | 0.273931i | \(0.0883239\pi\) | ||||
−0.961749 | + | 0.273931i | \(0.911676\pi\) | |||||||
\(308\) | −1.09838 | + | 1.09838i | −0.0625860 | + | 0.0625860i | ||||
\(309\) | −32.1121 | −1.82679 | ||||||||
\(310\) | −0.847951 | + | 0.145861i | −0.0481604 | + | 0.00828433i | ||||
\(311\) | 4.28684i | 0.243084i | 0.992586 | + | 0.121542i | \(0.0387840\pi\) | ||||
−0.992586 | + | 0.121542i | \(0.961216\pi\) | |||||||
\(312\) | −3.96093 | + | 4.36238i | −0.224243 | + | 0.246971i | ||||
\(313\) | 5.55258 | − | 5.55258i | 0.313850 | − | 0.313850i | −0.532549 | − | 0.846399i | \(-0.678766\pi\) |
0.846399 | + | 0.532549i | \(0.178766\pi\) | |||||||
\(314\) | 0.539615 | + | 0.539615i | 0.0304523 | + | 0.0304523i | ||||
\(315\) | 21.9481 | + | 15.5055i | 1.23663 | + | 0.873635i | ||||
\(316\) | − | 8.71989i | − | 0.490532i | ||||||
\(317\) | −18.5306 | −1.04078 | −0.520391 | − | 0.853928i | \(-0.674214\pi\) | ||||
−0.520391 | + | 0.853928i | \(0.674214\pi\) | |||||||
\(318\) | 0.632831i | 0.0354874i | ||||||||
\(319\) | −0.696925 | + | 0.696925i | −0.0390203 | + | 0.0390203i | ||||
\(320\) | −13.8219 | − | 9.76464i | −0.772667 | − | 0.545860i | ||||
\(321\) | −41.2367 | −2.30161 | ||||||||
\(322\) | −0.584167 | + | 0.584167i | −0.0325544 | + | 0.0325544i | ||||
\(323\) | −16.0056 | −0.890578 | ||||||||
\(324\) | 23.2338 | 1.29077 | ||||||||
\(325\) | 6.83546 | + | 16.6816i | 0.379163 | + | 0.925330i | ||||
\(326\) | 1.78967 | 0.0991204 | ||||||||
\(327\) | −34.8610 | −1.92782 | ||||||||
\(328\) | −0.813760 | + | 0.813760i | −0.0449324 | + | 0.0449324i | ||||
\(329\) | 13.2641 | 0.731271 | ||||||||
\(330\) | −0.307627 | − | 0.217327i | −0.0169343 | − | 0.0119634i | ||||
\(331\) | 1.66302 | − | 1.66302i | 0.0914078 | − | 0.0914078i | −0.659924 | − | 0.751332i | \(-0.729412\pi\) |
0.751332 | + | 0.659924i | \(0.229412\pi\) | |||||||
\(332\) | 26.7239i | 1.46666i | ||||||||
\(333\) | −33.5373 | −1.83783 | ||||||||
\(334\) | 1.74995i | 0.0957530i | ||||||||
\(335\) | −1.71669 | − | 1.21277i | −0.0937927 | − | 0.0662610i | ||||
\(336\) | −16.0197 | − | 16.0197i | −0.873946 | − | 0.873946i | ||||
\(337\) | 7.30111 | − | 7.30111i | 0.397717 | − | 0.397717i | −0.479710 | − | 0.877427i | \(-0.659258\pi\) |
0.877427 | + | 0.479710i | \(0.159258\pi\) | |||||||
\(338\) | −1.74209 | + | 0.168443i | −0.0947572 | + | 0.00916209i | ||||
\(339\) | 21.4671i | 1.16593i | ||||||||
\(340\) | 15.6642 | − | 2.69448i | 0.849511 | − | 0.146129i | ||||
\(341\) | −1.17300 | −0.0635212 | ||||||||
\(342\) | −2.67354 | + | 2.67354i | −0.144568 | + | 0.144568i | ||||
\(343\) | 19.7712i | 1.06755i | ||||||||
\(344\) | 0.476450 | + | 0.476450i | 0.0256884 | + | 0.0256884i | ||||
\(345\) | 17.8891 | + | 12.6380i | 0.963119 | + | 0.680407i | ||||
\(346\) | −1.38741 | − | 1.38741i | −0.0745874 | − | 0.0745874i | ||||
\(347\) | −9.54455 | − | 9.54455i | −0.512378 | − | 0.512378i | 0.402876 | − | 0.915254i | \(-0.368010\pi\) |
−0.915254 | + | 0.402876i | \(0.868010\pi\) | |||||||
\(348\) | −10.2592 | − | 10.2592i | −0.549952 | − | 0.549952i | ||||
\(349\) | −18.1608 | + | 18.1608i | −0.972127 | + | 0.972127i | −0.999622 | − | 0.0274946i | \(-0.991247\pi\) |
0.0274946 | + | 0.999622i | \(0.491247\pi\) | |||||||
\(350\) | 1.21164 | − | 0.429553i | 0.0647650 | − | 0.0229606i | ||||
\(351\) | 26.7969 | + | 24.3308i | 1.43031 | + | 1.29868i | ||||
\(352\) | 0.463205 | + | 0.463205i | 0.0246889 | + | 0.0246889i | ||||
\(353\) | − | 4.19276i | − | 0.223158i | −0.993756 | − | 0.111579i | \(-0.964409\pi\) | ||
0.993756 | − | 0.111579i | \(-0.0355908\pi\) | |||||||
\(354\) | − | 4.82700i | − | 0.256552i | ||||||
\(355\) | −22.9887 | + | 3.95441i | −1.22011 | + | 0.209878i | ||||
\(356\) | 19.8658 | − | 19.8658i | 1.05289 | − | 1.05289i | ||||
\(357\) | 20.8796 | 1.10507 | ||||||||
\(358\) | 0.887351 | 0.0468979 | ||||||||
\(359\) | 6.13909 | − | 6.13909i | 0.324009 | − | 0.324009i | −0.526294 | − | 0.850303i | \(-0.676419\pi\) |
0.850303 | + | 0.526294i | \(0.176419\pi\) | |||||||
\(360\) | 4.35267 | − | 6.16122i | 0.229406 | − | 0.324725i | ||||
\(361\) | 0.915340i | 0.0481758i | ||||||||
\(362\) | − | 2.12655i | − | 0.111769i | ||||||
\(363\) | 23.3483 | + | 23.3483i | 1.22547 | + | 1.22547i | ||||
\(364\) | −0.657430 | − | 13.6304i | −0.0344587 | − | 0.714427i | ||||
\(365\) | −12.1165 | − | 8.55985i | −0.634207 | − | 0.448043i | ||||
\(366\) | 2.08167 | − | 2.08167i | 0.108811 | − | 0.108811i | ||||
\(367\) | −4.59729 | − | 4.59729i | −0.239976 | − | 0.239976i | 0.576864 | − | 0.816840i | \(-0.304276\pi\) |
−0.816840 | + | 0.576864i | \(0.804276\pi\) | |||||||
\(368\) | −8.84198 | − | 8.84198i | −0.460920 | − | 0.460920i | ||||
\(369\) | 9.55258 | + | 9.55258i | 0.497287 | + | 0.497287i | ||||
\(370\) | −0.925714 | + | 1.31035i | −0.0481256 | + | 0.0681219i | ||||
\(371\) | −2.08215 | − | 2.08215i | −0.108100 | − | 0.108100i | ||||
\(372\) | − | 17.2673i | − | 0.895268i | ||||||
\(373\) | 13.6188 | − | 13.6188i | 0.705154 | − | 0.705154i | −0.260358 | − | 0.965512i | \(-0.583841\pi\) |
0.965512 | + | 0.260358i | \(0.0838407\pi\) | |||||||
\(374\) | −0.198177 | −0.0102475 | ||||||||
\(375\) | −16.6695 | − | 29.7281i | −0.860807 | − | 1.53515i | ||||
\(376\) | − | 3.72346i | − | 0.192023i | ||||||
\(377\) | −0.417141 | − | 8.64852i | −0.0214838 | − | 0.445421i | ||||
\(378\) | 1.82504 | − | 1.82504i | 0.0938699 | − | 0.0938699i | ||||
\(379\) | −19.3439 | − | 19.3439i | −0.993631 | − | 0.993631i | 0.00634892 | − | 0.999980i | \(-0.497979\pi\) |
−0.999980 | + | 0.00634892i | \(0.997979\pi\) | |||||||
\(380\) | −3.35267 | − | 19.4905i | −0.171988 | − | 0.999841i | ||||
\(381\) | 30.2532i | 1.54992i | ||||||||
\(382\) | 1.75178 | 0.0896287 | ||||||||
\(383\) | 7.13110i | 0.364382i | 0.983263 | + | 0.182191i | \(0.0583190\pi\) | ||||
−0.983263 | + | 0.182191i | \(0.941681\pi\) | |||||||
\(384\) | −9.07743 | + | 9.07743i | −0.463231 | + | 0.463231i | ||||
\(385\) | 1.72721 | − | 0.297106i | 0.0880267 | − | 0.0151419i | ||||
\(386\) | 2.35381 | 0.119806 | ||||||||
\(387\) | 5.59296 | − | 5.59296i | 0.284306 | − | 0.284306i | ||||
\(388\) | 8.71989 | 0.442685 | ||||||||
\(389\) | 25.6987 | 1.30298 | 0.651488 | − | 0.758659i | \(-0.274145\pi\) | ||||
0.651488 | + | 0.758659i | \(0.274145\pi\) | |||||||
\(390\) | 3.23019 | − | 0.717396i | 0.163567 | − | 0.0363267i | ||||
\(391\) | 11.5244 | 0.582814 | ||||||||
\(392\) | 1.79753 | 0.0907887 | ||||||||
\(393\) | 24.3692 | − | 24.3692i | 1.22926 | − | 1.22926i | ||||
\(394\) | −1.92186 | −0.0968218 | ||||||||
\(395\) | −5.67669 | + | 8.03537i | −0.285625 | + | 0.404304i | ||||
\(396\) | 3.61949 | − | 3.61949i | 0.181886 | − | 0.181886i | ||||
\(397\) | − | 14.8794i | − | 0.746777i | −0.927675 | − | 0.373388i | \(-0.878196\pi\) | ||
0.927675 | − | 0.373388i | \(-0.121804\pi\) | |||||||
\(398\) | 0.641744 | 0.0321677 | ||||||||
\(399\) | − | 25.9799i | − | 1.30062i | ||||||
\(400\) | 6.50173 | + | 18.3395i | 0.325086 | + | 0.916974i | ||||
\(401\) | 9.52637 | + | 9.52637i | 0.475724 | + | 0.475724i | 0.903761 | − | 0.428037i | \(-0.140795\pi\) |
−0.428037 | + | 0.903761i | \(0.640795\pi\) | |||||||
\(402\) | −0.272792 | + | 0.272792i | −0.0136056 | + | 0.0136056i | ||||
\(403\) | 6.92712 | − | 7.62921i | 0.345064 | − | 0.380038i | ||||
\(404\) | 7.03592i | 0.350050i | ||||||||
\(405\) | −21.4099 | − | 15.1253i | −1.06387 | − | 0.751582i | ||||
\(406\) | −0.617430 | −0.0306425 | ||||||||
\(407\) | −1.54661 | + | 1.54661i | −0.0766625 | + | 0.0766625i | ||||
\(408\) | − | 5.86129i | − | 0.290177i | ||||||
\(409\) | −8.19410 | − | 8.19410i | −0.405172 | − | 0.405172i | 0.474879 | − | 0.880051i | \(-0.342492\pi\) |
−0.880051 | + | 0.474879i | \(0.842492\pi\) | |||||||
\(410\) | 0.636908 | − | 0.109558i | 0.0314546 | − | 0.00541068i | ||||
\(411\) | −4.14271 | − | 4.14271i | −0.204345 | − | 0.204345i | ||||
\(412\) | −14.7622 | − | 14.7622i | −0.727282 | − | 0.727282i | ||||
\(413\) | 15.8819 | + | 15.8819i | 0.781495 | + | 0.781495i | ||||
\(414\) | 1.92501 | − | 1.92501i | 0.0946089 | − | 0.0946089i | ||||
\(415\) | 17.3974 | − | 24.6261i | 0.854004 | − | 1.20885i | ||||
\(416\) | −5.74815 | + | 0.277249i | −0.281826 | + | 0.0135932i | ||||
\(417\) | 32.9618 | + | 32.9618i | 1.61415 | + | 1.61415i | ||||
\(418\) | 0.246586i | 0.0120609i | ||||||||
\(419\) | 26.7652i | 1.30757i | 0.756681 | + | 0.653784i | \(0.226819\pi\) | ||||
−0.756681 | + | 0.653784i | \(0.773181\pi\) | |||||||
\(420\) | 4.37361 | + | 25.4257i | 0.213410 | + | 1.24065i | ||||
\(421\) | −25.6977 | + | 25.6977i | −1.25243 | + | 1.25243i | −0.297800 | + | 0.954628i | \(0.596253\pi\) |
−0.954628 | + | 0.297800i | \(0.903747\pi\) | |||||||
\(422\) | −1.56207 | −0.0760405 | ||||||||
\(423\) | −43.7090 | −2.12520 | ||||||||
\(424\) | −0.584496 | + | 0.584496i | −0.0283856 | + | 0.0283856i | ||||
\(425\) | −16.1887 | − | 7.71450i | −0.785266 | − | 0.374208i | ||||
\(426\) | 4.28142i | 0.207436i | ||||||||
\(427\) | 13.6983i | 0.662906i | ||||||||
\(428\) | −18.9569 | − | 18.9569i | −0.916314 | − | 0.916314i | ||||
\(429\) | 4.50580 | − | 0.217327i | 0.217542 | − | 0.0104926i | ||||
\(430\) | −0.0641453 | − | 0.372904i | −0.00309336 | − | 0.0179830i | ||||
\(431\) | −13.6422 | + | 13.6422i | −0.657120 | + | 0.657120i | −0.954698 | − | 0.297578i | \(-0.903821\pi\) |
0.297578 | + | 0.954698i | \(0.403821\pi\) | |||||||
\(432\) | 27.6239 | + | 27.6239i | 1.32905 | + | 1.32905i | ||||
\(433\) | −25.0267 | − | 25.0267i | −1.20271 | − | 1.20271i | −0.973340 | − | 0.229365i | \(-0.926335\pi\) |
−0.229365 | − | 0.973340i | \(-0.573665\pi\) | |||||||
\(434\) | −0.519598 | − | 0.519598i | −0.0249415 | − | 0.0249415i | ||||
\(435\) | 2.77507 | + | 16.1327i | 0.133054 | + | 0.773502i | ||||
\(436\) | −16.0259 | − | 16.0259i | −0.767500 | − | 0.767500i | ||||
\(437\) | − | 14.3395i | − | 0.685950i | ||||||
\(438\) | −1.92539 | + | 1.92539i | −0.0919985 | + | 0.0919985i | ||||
\(439\) | 32.0588 | 1.53008 | 0.765042 | − | 0.643981i | \(-0.222718\pi\) | ||||
0.765042 | + | 0.643981i | \(0.222718\pi\) | |||||||
\(440\) | −0.0834032 | − | 0.484858i | −0.00397609 | − | 0.0231147i | ||||
\(441\) | − | 21.1008i | − | 1.00480i | ||||||
\(442\) | 1.17033 | − | 1.28895i | 0.0556671 | − | 0.0613092i | ||||
\(443\) | 3.91063 | − | 3.91063i | 0.185800 | − | 0.185800i | −0.608078 | − | 0.793877i | \(-0.708059\pi\) |
0.793877 | + | 0.608078i | \(0.208059\pi\) | |||||||
\(444\) | −22.7671 | − | 22.7671i | −1.08048 | − | 1.08048i | ||||
\(445\) | −31.2391 | + | 5.37361i | −1.48088 | + | 0.254734i | ||||
\(446\) | 2.05329i | 0.0972261i | ||||||||
\(447\) | 59.6195 | 2.81990 | ||||||||
\(448\) | − | 14.4531i | − | 0.682845i | ||||||
\(449\) | −2.54173 | + | 2.54173i | −0.119952 | + | 0.119952i | −0.764534 | − | 0.644583i | \(-0.777031\pi\) |
0.644583 | + | 0.764534i | \(0.277031\pi\) | |||||||
\(450\) | −3.99272 | + | 1.41550i | −0.188219 | + | 0.0667275i | ||||
\(451\) | 0.881054 | 0.0414872 | ||||||||
\(452\) | −9.86861 | + | 9.86861i | −0.464180 | + | 0.464180i | ||||
\(453\) | 36.8650 | 1.73207 | ||||||||
\(454\) | −2.07727 | −0.0974909 | ||||||||
\(455\) | −8.26763 | + | 12.9884i | −0.387592 | + | 0.608905i | ||||
\(456\) | −7.29303 | −0.341527 | ||||||||
\(457\) | −23.2189 | −1.08613 | −0.543067 | − | 0.839689i | \(-0.682737\pi\) | ||||
−0.543067 | + | 0.839689i | \(0.682737\pi\) | |||||||
\(458\) | −0.552248 | + | 0.552248i | −0.0258048 | + | 0.0258048i | ||||
\(459\) | −36.0042 | −1.68053 | ||||||||
\(460\) | 2.41399 | + | 14.0336i | 0.112553 | + | 0.654319i | ||||
\(461\) | 28.8356 | − | 28.8356i | 1.34301 | − | 1.34301i | 0.449954 | − | 0.893052i | \(-0.351440\pi\) |
0.893052 | − | 0.449954i | \(-0.148560\pi\) | |||||||
\(462\) | − | 0.321676i | − | 0.0149657i | ||||||
\(463\) | 5.03192 | 0.233853 | 0.116927 | − | 0.993141i | \(-0.462696\pi\) | ||||
0.116927 | + | 0.993141i | \(0.462696\pi\) | |||||||
\(464\) | − | 9.34544i | − | 0.433851i | ||||||
\(465\) | −11.2411 | + | 15.9118i | −0.521293 | + | 0.737893i | ||||
\(466\) | 2.48768 | + | 2.48768i | 0.115239 | + | 0.115239i | ||||
\(467\) | 4.64570 | − | 4.64570i | 0.214977 | − | 0.214977i | −0.591401 | − | 0.806378i | \(-0.701425\pi\) |
0.806378 | + | 0.591401i | \(0.201425\pi\) | |||||||
\(468\) | 2.16643 | + | 44.9162i | 0.100143 | + | 2.07625i | ||||
\(469\) | − | 1.79509i | − | 0.0828893i | ||||||
\(470\) | −1.20648 | + | 1.70777i | −0.0556507 | + | 0.0787737i | ||||
\(471\) | 17.2795 | 0.796195 | ||||||||
\(472\) | 4.45832 | − | 4.45832i | 0.205211 | − | 0.205211i | ||||
\(473\) | − | 0.515850i | − | 0.0237188i | ||||||
\(474\) | 1.27687 | + | 1.27687i | 0.0586485 | + | 0.0586485i | ||||
\(475\) | −9.59892 | + | 20.1431i | −0.440429 | + | 0.924228i | ||||
\(476\) | 9.59854 | + | 9.59854i | 0.439949 | + | 0.439949i | ||||
\(477\) | 6.86129 | + | 6.86129i | 0.314157 | + | 0.314157i | ||||
\(478\) | 1.05392 | + | 1.05392i | 0.0482053 | + | 0.0482053i | ||||
\(479\) | −6.05279 | + | 6.05279i | −0.276559 | + | 0.276559i | −0.831734 | − | 0.555175i | \(-0.812651\pi\) |
0.555175 | + | 0.831734i | \(0.312651\pi\) | |||||||
\(480\) | 10.7224 | − | 1.84442i | 0.489409 | − | 0.0841860i | ||||
\(481\) | −0.925714 | − | 19.1927i | −0.0422089 | − | 0.875111i | ||||
\(482\) | 1.25081 | + | 1.25081i | 0.0569728 | + | 0.0569728i | ||||
\(483\) | 18.7061i | 0.851157i | ||||||||
\(484\) | 21.4668i | 0.975763i | ||||||||
\(485\) | −8.03537 | − | 5.67669i | −0.364868 | − | 0.257765i | ||||
\(486\) | −0.535159 | + | 0.535159i | −0.0242753 | + | 0.0242753i | ||||
\(487\) | −8.30574 | −0.376369 | −0.188184 | − | 0.982134i | \(-0.560260\pi\) | ||||
−0.188184 | + | 0.982134i | \(0.560260\pi\) | |||||||
\(488\) | 3.84535 | 0.174071 | ||||||||
\(489\) | 28.6542 | − | 28.6542i | 1.29579 | − | 1.29579i | ||||
\(490\) | −0.824440 | − | 0.582435i | −0.0372444 | − | 0.0263117i | ||||
\(491\) | − | 4.54905i | − | 0.205296i | −0.994718 | − | 0.102648i | \(-0.967269\pi\) | ||
0.994718 | − | 0.102648i | \(-0.0327315\pi\) | |||||||
\(492\) | 12.9697i | 0.584720i | ||||||||
\(493\) | 6.09030 | + | 6.09030i | 0.274293 | + | 0.274293i | ||||
\(494\) | −1.60380 | − | 1.45621i | −0.0721586 | − | 0.0655181i | ||||
\(495\) | −5.69166 | + | 0.979054i | −0.255821 | + | 0.0440052i | ||||
\(496\) | 7.86466 | − | 7.86466i | 0.353134 | − | 0.353134i | ||||
\(497\) | −14.0868 | − | 14.0868i | −0.631878 | − | 0.631878i | ||||
\(498\) | −3.91323 | − | 3.91323i | −0.175356 | − | 0.175356i | ||||
\(499\) | −10.9444 | − | 10.9444i | −0.489937 | − | 0.489937i | 0.418349 | − | 0.908286i | \(-0.362609\pi\) |
−0.908286 | + | 0.418349i | \(0.862609\pi\) | |||||||
\(500\) | 6.00315 | − | 21.3293i | 0.268469 | − | 0.953877i | ||||
\(501\) | 28.0183 | + | 28.0183i | 1.25176 | + | 1.25176i | ||||
\(502\) | 1.81049i | 0.0808060i | ||||||||
\(503\) | −9.60700 | + | 9.60700i | −0.428355 | + | 0.428355i | −0.888068 | − | 0.459713i | \(-0.847952\pi\) |
0.459713 | + | 0.888068i | \(0.347952\pi\) | |||||||
\(504\) | 6.44259 | 0.286976 | ||||||||
\(505\) | 4.58042 | − | 6.48360i | 0.203826 | − | 0.288516i | ||||
\(506\) | − | 0.177547i | − | 0.00789294i | ||||||
\(507\) | −25.1955 | + | 30.5894i | −1.11897 | + | 1.35852i | ||||
\(508\) | −13.9076 | + | 13.9076i | −0.617052 | + | 0.617052i | ||||
\(509\) | 1.01052 | + | 1.01052i | 0.0447905 | + | 0.0447905i | 0.729147 | − | 0.684357i | \(-0.239917\pi\) |
−0.684357 | + | 0.729147i | \(0.739917\pi\) | |||||||
\(510\) | −1.89918 | + | 2.68830i | −0.0840971 | + | 0.119040i | ||||
\(511\) | − | 12.6698i | − | 0.560481i | ||||||
\(512\) | −10.3838 | −0.458904 | ||||||||
\(513\) | 44.7990i | 1.97792i | ||||||||
\(514\) | −0.318476 | + | 0.318476i | −0.0140474 | + | 0.0140474i | ||||
\(515\) | 3.99310 | + | 23.2136i | 0.175957 | + | 1.02291i | ||||
\(516\) | 7.59366 | 0.334292 | ||||||||
\(517\) | −2.01569 | + | 2.01569i | −0.0886497 | + | 0.0886497i | ||||
\(518\) | −1.37019 | −0.0602028 | ||||||||
\(519\) | −44.4273 | −1.95014 | ||||||||
\(520\) | 3.64608 | + | 2.32087i | 0.159891 | + | 0.101777i | ||||
\(521\) | 39.4816 | 1.72972 | 0.864861 | − | 0.502012i | \(-0.167406\pi\) | ||||
0.864861 | + | 0.502012i | \(0.167406\pi\) | |||||||
\(522\) | 2.03461 | 0.0890527 | ||||||||
\(523\) | −15.7663 | + | 15.7663i | −0.689411 | + | 0.689411i | −0.962102 | − | 0.272691i | \(-0.912086\pi\) |
0.272691 | + | 0.962102i | \(0.412086\pi\) | |||||||
\(524\) | 22.4055 | 0.978787 | ||||||||
\(525\) | 12.5220 | − | 26.2770i | 0.546503 | − | 1.14682i | ||||
\(526\) | 1.39234 | − | 1.39234i | 0.0607088 | − | 0.0607088i | ||||
\(527\) | 10.2506i | 0.446523i | ||||||||
\(528\) | 4.86890 | 0.211892 | ||||||||
\(529\) | − | 12.6753i | − | 0.551099i | ||||||
\(530\) | 0.457469 | − | 0.0786918i | 0.0198712 | − | 0.00341815i | ||||
\(531\) | −52.3354 | − | 52.3354i | −2.27116 | − | 2.27116i | ||||
\(532\) | 11.9432 | − | 11.9432i | 0.517803 | − | 0.517803i | ||||
\(533\) | −5.20306 | + | 5.73041i | −0.225369 | + | 0.248212i | ||||
\(534\) | 5.81798i | 0.251769i | ||||||||
\(535\) | 5.12773 | + | 29.8097i | 0.221691 | + | 1.28879i | ||||
\(536\) | −0.503913 | −0.0217657 | ||||||||
\(537\) | 14.2073 | − | 14.2073i | 0.613089 | − | 0.613089i | ||||
\(538\) | − | 4.25623i | − | 0.183499i | ||||||
\(539\) | −0.973086 | − | 0.973086i | −0.0419138 | − | 0.0419138i | ||||
\(540\) | −7.54173 | − | 43.8433i | −0.324544 | − | 1.88672i | ||||
\(541\) | −22.2954 | − | 22.2954i | −0.958554 | − | 0.958554i | 0.0406207 | − | 0.999175i | \(-0.487066\pi\) |
−0.999175 | + | 0.0406207i | \(0.987066\pi\) | |||||||
\(542\) | −2.71754 | − | 2.71754i | −0.116728 | − | 0.116728i | ||||
\(543\) | −34.0480 | − | 34.0480i | −1.46114 | − | 1.46114i | ||||
\(544\) | 4.04786 | − | 4.04786i | 0.173551 | − | 0.173551i | ||||
\(545\) | 4.33492 | + | 25.2008i | 0.185688 | + | 1.07948i | ||||
\(546\) | 2.09219 | + | 1.89965i | 0.0895375 | + | 0.0812977i | ||||
\(547\) | 3.38779 | + | 3.38779i | 0.144851 | + | 0.144851i | 0.775814 | − | 0.630962i | \(-0.217340\pi\) |
−0.630962 | + | 0.775814i | \(0.717340\pi\) | |||||||
\(548\) | − | 3.80888i | − | 0.162707i | ||||||
\(549\) | − | 45.1399i | − | 1.92652i | ||||||
\(550\) | −0.118851 | + | 0.249406i | −0.00506783 | + | 0.0106347i | ||||
\(551\) | 7.57798 | − | 7.57798i | 0.322833 | − | 0.322833i | ||||
\(552\) | 5.25114 | 0.223503 | ||||||||
\(553\) | −8.40233 | −0.357304 | ||||||||
\(554\) | 1.21733 | − | 1.21733i | 0.0517193 | − | 0.0517193i | ||||
\(555\) | 6.15840 | + | 35.8014i | 0.261409 | + | 1.51969i | ||||
\(556\) | 30.3056i | 1.28524i | ||||||||
\(557\) | − | 5.28065i | − | 0.223748i | −0.993722 | − | 0.111874i | \(-0.964315\pi\) | ||
0.993722 | − | 0.111874i | \(-0.0356854\pi\) | |||||||
\(558\) | 1.71223 | + | 1.71223i | 0.0724845 | + | 0.0724845i | ||||
\(559\) | 3.35511 | + | 3.04635i | 0.141906 | + | 0.128847i | ||||
\(560\) | −9.58850 | + | 13.5726i | −0.405188 | + | 0.573545i | ||||
\(561\) | −3.17300 | + | 3.17300i | −0.133964 | + | 0.133964i | ||||
\(562\) | −0.816156 | − | 0.816156i | −0.0344275 | − | 0.0344275i | ||||
\(563\) | 29.6592 | + | 29.6592i | 1.24999 | + | 1.24999i | 0.955725 | + | 0.294261i | \(0.0950735\pi\) |
0.294261 | + | 0.955725i | \(0.404927\pi\) | |||||||
\(564\) | −29.6723 | − | 29.6723i | −1.24943 | − | 1.24943i | ||||
\(565\) | 15.5184 | − | 2.66941i | 0.652866 | − | 0.112303i | ||||
\(566\) | −1.42811 | − | 1.42811i | −0.0600281 | − | 0.0600281i | ||||
\(567\) | − | 22.3877i | − | 0.940193i | ||||||
\(568\) | −3.95441 | + | 3.95441i | −0.165923 | + | 0.165923i | ||||
\(569\) | −22.3322 | −0.936216 | −0.468108 | − | 0.883671i | \(-0.655064\pi\) | ||||
−0.468108 | + | 0.883671i | \(0.655064\pi\) | |||||||
\(570\) | 3.34497 | + | 2.36309i | 0.140105 | + | 0.0989790i | ||||
\(571\) | 11.9099i | 0.498415i | 0.968450 | + | 0.249207i | \(0.0801701\pi\) | ||||
−0.968450 | + | 0.249207i | \(0.919830\pi\) | |||||||
\(572\) | 2.17126 | + | 1.97145i | 0.0907851 | + | 0.0824304i | ||||
\(573\) | 28.0475 | − | 28.0475i | 1.17170 | − | 1.17170i | ||||
\(574\) | 0.390278 | + | 0.390278i | 0.0162899 | + | 0.0162899i | ||||
\(575\) | 6.91143 | − | 14.5035i | 0.288227 | − | 0.604836i | ||||
\(576\) | 47.6273i | 1.98447i | ||||||||
\(577\) | −31.5179 | −1.31211 | −0.656053 | − | 0.754714i | \(-0.727775\pi\) | ||||
−0.656053 | + | 0.754714i | \(0.727775\pi\) | |||||||
\(578\) | − | 0.556908i | − | 0.0231643i | ||||||
\(579\) | 37.6866 | − | 37.6866i | 1.56620 | − | 1.56620i | ||||
\(580\) | −6.14060 | + | 8.69204i | −0.254975 | + | 0.360918i | ||||
\(581\) | 25.7507 | 1.06832 | ||||||||
\(582\) | −1.27687 | + | 1.27687i | −0.0529279 | + | 0.0529279i | ||||
\(583\) | 0.632831 | 0.0262092 | ||||||||
\(584\) | −3.55665 | −0.147175 | ||||||||
\(585\) | 27.2443 | − | 42.8006i | 1.12641 | − | 1.76959i | ||||
\(586\) | −2.96178 | −0.122350 | ||||||||
\(587\) | 33.0231 | 1.36301 | 0.681505 | − | 0.731814i | \(-0.261326\pi\) | ||||
0.681505 | + | 0.731814i | \(0.261326\pi\) | |||||||
\(588\) | 14.3245 | − | 14.3245i | 0.590732 | − | 0.590732i | ||||
\(589\) | 12.7545 | 0.525540 | ||||||||
\(590\) | −3.48941 | + | 0.600233i | −0.143657 | + | 0.0247112i | ||||
\(591\) | −30.7707 | + | 30.7707i | −1.26574 | + | 1.26574i | ||||
\(592\) | − | 20.7393i | − | 0.852380i | ||||||
\(593\) | 20.1991 | 0.829479 | 0.414739 | − | 0.909940i | \(-0.363873\pi\) | ||||
0.414739 | + | 0.909940i | \(0.363873\pi\) | |||||||
\(594\) | 0.554688i | 0.0227591i | ||||||||
\(595\) | −2.59636 | − | 15.0938i | −0.106440 | − | 0.618784i | ||||
\(596\) | 27.4076 | + | 27.4076i | 1.12266 | + | 1.12266i | ||||
\(597\) | 10.2749 | − | 10.2749i | 0.420524 | − | 0.420524i | ||||
\(598\) | 1.15477 | + | 1.04850i | 0.0472222 | + | 0.0428765i | ||||
\(599\) | 10.8205i | 0.442113i | 0.975261 | + | 0.221057i | \(0.0709505\pi\) | ||||
−0.975261 | + | 0.221057i | \(0.929049\pi\) | |||||||
\(600\) | −7.37643 | − | 3.51514i | −0.301142 | − | 0.143505i | ||||
\(601\) | −5.12131 | −0.208903 | −0.104451 | − | 0.994530i | \(-0.533309\pi\) | ||||
−0.104451 | + | 0.994530i | \(0.533309\pi\) | |||||||
\(602\) | 0.228504 | − | 0.228504i | 0.00931315 | − | 0.00931315i | ||||
\(603\) | 5.91534i | 0.240891i | ||||||||
\(604\) | 16.9471 | + | 16.9471i | 0.689569 | + | 0.689569i | ||||
\(605\) | 13.9750 | − | 19.7816i | 0.568164 | − | 0.804238i | ||||
\(606\) | −1.03028 | − | 1.03028i | −0.0418524 | − | 0.0418524i | ||||
\(607\) | 11.3669 | + | 11.3669i | 0.461370 | + | 0.461370i | 0.899104 | − | 0.437735i | \(-0.144219\pi\) |
−0.437735 | + | 0.899104i | \(0.644219\pi\) | |||||||
\(608\) | −5.03663 | − | 5.03663i | −0.204262 | − | 0.204262i | ||||
\(609\) | −9.88561 | + | 9.88561i | −0.400585 | + | 0.400585i | ||||
\(610\) | −1.76368 | − | 1.24597i | −0.0714093 | − | 0.0504480i | ||||
\(611\) | −1.20648 | − | 25.0137i | −0.0488089 | − | 1.01195i | ||||
\(612\) | −31.6301 | − | 31.6301i | −1.27857 | − | 1.27857i | ||||
\(613\) | − | 31.0334i | − | 1.25343i | −0.779250 | − | 0.626714i | \(-0.784400\pi\) | ||
0.779250 | − | 0.626714i | \(-0.215600\pi\) | |||||||
\(614\) | − | 1.29237i | − | 0.0521559i | ||||||
\(615\) | 8.44335 | − | 11.9516i | 0.340469 | − | 0.481935i | ||||
\(616\) | 0.297106 | − | 0.297106i | 0.0119708 | − | 0.0119708i | ||||
\(617\) | −39.2697 | −1.58094 | −0.790469 | − | 0.612502i | \(-0.790163\pi\) | ||||
−0.790469 | + | 0.612502i | \(0.790163\pi\) | |||||||
\(618\) | 4.32331 | 0.173909 | ||||||||
\(619\) | −20.7839 | + | 20.7839i | −0.835374 | + | 0.835374i | −0.988246 | − | 0.152872i | \(-0.951148\pi\) |
0.152872 | + | 0.988246i | \(0.451148\pi\) | |||||||
\(620\) | −12.4824 | + | 2.14717i | −0.501306 | + | 0.0862324i | ||||
\(621\) | − | 32.2562i | − | 1.29440i | ||||||
\(622\) | − | 0.577145i | − | 0.0231414i | ||||||
\(623\) | −19.1424 | − | 19.1424i | −0.766923 | − | 0.766923i | ||||
\(624\) | −28.7532 | + | 31.6675i | −1.15105 | + | 1.26771i | ||||
\(625\) | −19.4174 | + | 15.7469i | −0.776696 | + | 0.629876i | ||||
\(626\) | −0.747554 | + | 0.747554i | −0.0298783 | + | 0.0298783i | ||||
\(627\) | 3.94806 | + | 3.94806i | 0.157670 | + | 0.157670i | ||||
\(628\) | 7.94351 | + | 7.94351i | 0.316981 | + | 0.316981i | ||||
\(629\) | 13.5155 | + | 13.5155i | 0.538899 | + | 0.538899i | ||||
\(630\) | −2.95491 | − | 2.08753i | −0.117726 | − | 0.0831692i | ||||
\(631\) | 13.0898 | + | 13.0898i | 0.521099 | + | 0.521099i | 0.917903 | − | 0.396805i | \(-0.129881\pi\) |
−0.396805 | + | 0.917903i | \(0.629881\pi\) | |||||||
\(632\) | 2.35869i | 0.0938235i | ||||||||
\(633\) | −25.0102 | + | 25.0102i | −0.994066 | + | 0.994066i | ||||
\(634\) | 2.49481 | 0.0990815 | ||||||||
\(635\) | 21.8698 | − | 3.76195i | 0.867878 | − | 0.149288i | ||||
\(636\) | 9.31571i | 0.369392i | ||||||||
\(637\) | 12.0755 | − | 0.582435i | 0.478450 | − | 0.0230769i | ||||
\(638\) | 0.0938283 | − | 0.0938283i | 0.00371470 | − | 0.00371470i | ||||
\(639\) | 46.4201 | + | 46.4201i | 1.83635 | + | 1.83635i | ||||
\(640\) | 7.69079 | + | 5.43325i | 0.304005 | + | 0.214768i | ||||
\(641\) | − | 41.7149i | − | 1.64764i | −0.566853 | − | 0.823819i | \(-0.691839\pi\) | ||
0.566853 | − | 0.823819i | \(-0.308161\pi\) | |||||||
\(642\) | 5.55177 | 0.219111 | ||||||||
\(643\) | − | 38.6757i | − | 1.52522i | −0.646858 | − | 0.762610i | \(-0.723917\pi\) | ||
0.646858 | − | 0.762610i | \(-0.276083\pi\) | |||||||
\(644\) | −8.59935 | + | 8.59935i | −0.338862 | + | 0.338862i | ||||
\(645\) | −6.99756 | − | 4.94351i | −0.275529 | − | 0.194651i | ||||
\(646\) | 2.15487 | 0.0847822 | ||||||||
\(647\) | −21.8936 | + | 21.8936i | −0.860726 | + | 0.860726i | −0.991422 | − | 0.130697i | \(-0.958279\pi\) |
0.130697 | + | 0.991422i | \(0.458279\pi\) | |||||||
\(648\) | −6.28462 | −0.246883 | ||||||||
\(649\) | −4.82700 | −0.189477 | ||||||||
\(650\) | −0.920271 | − | 2.24588i | −0.0360960 | − | 0.0880906i | ||||
\(651\) | −16.6385 | −0.652113 | ||||||||
\(652\) | 26.3451 | 1.03175 | ||||||||
\(653\) | −21.0962 | + | 21.0962i | −0.825558 | + | 0.825558i | −0.986899 | − | 0.161341i | \(-0.948418\pi\) |
0.161341 | + | 0.986899i | \(0.448418\pi\) | |||||||
\(654\) | 4.69340 | 0.183526 | ||||||||
\(655\) | −20.6466 | − | 14.5861i | −0.806730 | − | 0.569924i | ||||
\(656\) | −5.90726 | + | 5.90726i | −0.230640 | + | 0.230640i | ||||
\(657\) | 41.7509i | 1.62886i | ||||||||
\(658\) | −1.78576 | −0.0696164 | ||||||||
\(659\) | 26.6328i | 1.03747i | 0.854936 | + | 0.518734i | \(0.173596\pi\) | ||||
−0.854936 | + | 0.518734i | \(0.826404\pi\) | |||||||
\(660\) | −4.52848 | − | 3.19920i | −0.176271 | − | 0.124529i | ||||
\(661\) | −6.53609 | − | 6.53609i | −0.254224 | − | 0.254224i | 0.568476 | − | 0.822700i | \(-0.307533\pi\) |
−0.822700 | + | 0.568476i | \(0.807533\pi\) | |||||||
\(662\) | −0.223895 | + | 0.223895i | −0.00870194 | + | 0.00870194i | ||||
\(663\) | −1.89918 | − | 39.3754i | −0.0737580 | − | 1.52921i | ||||
\(664\) | − | 7.22868i | − | 0.280527i | ||||||
\(665\) | −18.7807 | + | 3.23057i | −0.728285 | + | 0.125276i | ||||
\(666\) | 4.51519 | 0.174960 | ||||||||
\(667\) | −5.45631 | + | 5.45631i | −0.211269 | + | 0.211269i | ||||
\(668\) | 25.7605i | 0.996703i | ||||||||
\(669\) | 32.8750 | + | 32.8750i | 1.27102 | + | 1.27102i | ||||
\(670\) | 0.231121 | + | 0.163278i | 0.00892898 | + | 0.00630799i | ||||
\(671\) | −2.08167 | − | 2.08167i | −0.0803620 | − | 0.0803620i | ||||
\(672\) | 6.57037 | + | 6.57037i | 0.253458 | + | 0.253458i | ||||
\(673\) | −5.50580 | − | 5.50580i | −0.212233 | − | 0.212233i | 0.592982 | − | 0.805215i | \(-0.297950\pi\) |
−0.805215 | + | 0.592982i | \(0.797950\pi\) | |||||||
\(674\) | −0.982962 | + | 0.982962i | −0.0378623 | + | 0.0378623i | ||||
\(675\) | −21.5925 | + | 45.3113i | −0.831096 | + | 1.74403i | ||||
\(676\) | −25.6448 | + | 2.47960i | −0.986337 | + | 0.0953692i | ||||
\(677\) | 1.67072 | + | 1.67072i | 0.0642110 | + | 0.0642110i | 0.738483 | − | 0.674272i | \(-0.235542\pi\) |
−0.674272 | + | 0.738483i | \(0.735542\pi\) | |||||||
\(678\) | − | 2.89016i | − | 0.110996i | ||||||
\(679\) | − | 8.40233i | − | 0.322452i | ||||||
\(680\) | −4.23709 | + | 0.728845i | −0.162485 | + | 0.0279499i | ||||
\(681\) | −33.2589 | + | 33.2589i | −1.27448 | + | 1.27448i | ||||
\(682\) | 0.157923 | 0.00604717 | ||||||||
\(683\) | 42.2726 | 1.61752 | 0.808758 | − | 0.588141i | \(-0.200140\pi\) | ||||
0.808758 | + | 0.588141i | \(0.200140\pi\) | |||||||
\(684\) | −39.3563 | + | 39.3563i | −1.50483 | + | 1.50483i | ||||
\(685\) | −2.47960 | + | 3.50988i | −0.0947406 | + | 0.134106i | ||||
\(686\) | − | 2.66184i | − | 0.101629i | ||||||
\(687\) | 17.6840i | 0.674685i | ||||||||
\(688\) | 3.45865 | + | 3.45865i | 0.131860 | + | 0.131860i | ||||
\(689\) | −3.73718 | + | 4.11596i | −0.142375 | + | 0.156805i | ||||
\(690\) | −2.40845 | − | 1.70148i | −0.0916880 | − | 0.0647741i | ||||
\(691\) | −19.9284 | + | 19.9284i | −0.758110 | + | 0.758110i | −0.975978 | − | 0.217868i | \(-0.930090\pi\) |
0.217868 | + | 0.975978i | \(0.430090\pi\) | |||||||
\(692\) | −20.4236 | − | 20.4236i | −0.776388 | − | 0.776388i | ||||
\(693\) | −3.48768 | − | 3.48768i | −0.132486 | − | 0.132486i | ||||
\(694\) | 1.28500 | + | 1.28500i | 0.0487779 | + | 0.0487779i | ||||
\(695\) | 19.7291 | − | 27.9266i | 0.748367 | − | 1.05932i | ||||
\(696\) | 2.77507 | + | 2.77507i | 0.105189 | + | 0.105189i | ||||
\(697\) | − | 7.69937i | − | 0.291634i | ||||||
\(698\) | 2.44503 | − | 2.44503i | 0.0925457 | − | 0.0925457i | ||||
\(699\) | 79.6599 | 3.01302 | ||||||||
\(700\) | 17.8362 | − | 6.32331i | 0.674146 | − | 0.238999i | ||||
\(701\) | − | 13.2327i | − | 0.499792i | −0.968273 | − | 0.249896i | \(-0.919604\pi\) | ||
0.968273 | − | 0.249896i | \(-0.0803964\pi\) | |||||||
\(702\) | −3.60771 | − | 3.27571i | −0.136164 | − | 0.123634i | ||||
\(703\) | 16.8170 | − | 16.8170i | 0.634264 | − | 0.634264i | ||||
\(704\) | 2.19638 | + | 2.19638i | 0.0827792 | + | 0.0827792i | ||||
\(705\) | 8.02621 | + | 46.6598i | 0.302284 | + | 1.75731i | ||||
\(706\) | 0.564479i | 0.0212444i | ||||||||
\(707\) | 6.77969 | 0.254977 | ||||||||
\(708\) | − | 71.0568i | − | 2.67048i | ||||||
\(709\) | 5.07651 | − | 5.07651i | 0.190652 | − | 0.190652i | −0.605326 | − | 0.795978i | \(-0.706957\pi\) |
0.795978 | + | 0.605326i | \(0.206957\pi\) | |||||||
\(710\) | 3.09501 | − | 0.532390i | 0.116154 | − | 0.0199802i | ||||
\(711\) | 27.6882 | 1.03839 | ||||||||
\(712\) | −5.37361 | + | 5.37361i | −0.201385 | + | 0.201385i | ||||
\(713\) | −9.18352 | −0.343925 | ||||||||
\(714\) | −2.81106 | −0.105201 | ||||||||
\(715\) | −0.717396 | − | 3.23019i | −0.0268291 | − | 0.120802i | ||||
\(716\) | 13.0624 | 0.488165 | ||||||||
\(717\) | 33.7485 | 1.26036 | ||||||||
\(718\) | −0.826517 | + | 0.826517i | −0.0308453 | + | 0.0308453i | ||||
\(719\) | −21.0560 | −0.785257 | −0.392628 | − | 0.919697i | \(-0.628434\pi\) | ||||
−0.392628 | + | 0.919697i | \(0.628434\pi\) | |||||||
\(720\) | 31.5970 | − | 44.7256i | 1.17755 | − | 1.66683i | ||||
\(721\) | −14.2246 | + | 14.2246i | −0.529752 | + | 0.529752i | ||||
\(722\) | − | 0.123234i | − | 0.00458629i | ||||||
\(723\) | 40.0532 | 1.48959 | ||||||||
\(724\) | − | 31.3043i | − | 1.16342i | ||||||
\(725\) | 11.3171 | − | 4.01216i | 0.420307 | − | 0.149008i | ||||
\(726\) | −3.14342 | − | 3.14342i | −0.116663 | − | 0.116663i | ||||
\(727\) | −12.7325 | + | 12.7325i | −0.472221 | + | 0.472221i | −0.902633 | − | 0.430412i | \(-0.858368\pi\) |
0.430412 | + | 0.902633i | \(0.358368\pi\) | |||||||
\(728\) | 0.177831 | + | 3.68695i | 0.00659087 | + | 0.136648i | ||||
\(729\) | − | 18.0326i | − | 0.667876i | ||||||
\(730\) | 1.63127 | + | 1.15243i | 0.0603759 | + | 0.0426533i | ||||
\(731\) | −4.50792 | −0.166731 | ||||||||
\(732\) | 30.6436 | − | 30.6436i | 1.13262 | − | 1.13262i | ||||
\(733\) | 21.9710i | 0.811517i | 0.913980 | + | 0.405759i | \(0.132993\pi\) | ||||
−0.913980 | + | 0.405759i | \(0.867007\pi\) | |||||||
\(734\) | 0.618941 | + | 0.618941i | 0.0228455 | + | 0.0228455i | ||||
\(735\) | −22.5253 | + | 3.87471i | −0.830859 | + | 0.142921i | ||||
\(736\) | 3.62648 | + | 3.62648i | 0.133674 | + | 0.133674i | ||||
\(737\) | 0.272792 | + | 0.272792i | 0.0100484 | + | 0.0100484i | ||||
\(738\) | −1.28608 | − | 1.28608i | −0.0473413 | − | 0.0473413i | ||||
\(739\) | −2.55220 | + | 2.55220i | −0.0938841 | + | 0.0938841i | −0.752489 | − | 0.658605i | \(-0.771147\pi\) |
0.658605 | + | 0.752489i | \(0.271147\pi\) | |||||||
\(740\) | −13.6271 | + | 19.2893i | −0.500944 | + | 0.709088i | ||||
\(741\) | −48.9936 | + | 2.36309i | −1.79983 | + | 0.0868104i | ||||
\(742\) | 0.280323 | + | 0.280323i | 0.0102910 | + | 0.0102910i | ||||
\(743\) | − | 9.53234i | − | 0.349708i | −0.984594 | − | 0.174854i | \(-0.944055\pi\) | ||
0.984594 | − | 0.174854i | \(-0.0559453\pi\) | |||||||
\(744\) | 4.67072i | 0.171237i | ||||||||
\(745\) | −7.41361 | − | 43.0985i | −0.271614 | − | 1.57901i | ||||
\(746\) | −1.83352 | + | 1.83352i | −0.0671300 | + | 0.0671300i | ||||
\(747\) | −84.8562 | −3.10472 | ||||||||
\(748\) | −2.91731 | −0.106667 | ||||||||
\(749\) | −18.2665 | + | 18.2665i | −0.667443 | + | 0.667443i | ||||
\(750\) | 2.24424 | + | 4.00234i | 0.0819481 | + | 0.146145i | ||||
\(751\) | − | 3.05948i | − | 0.111642i | −0.998441 | − | 0.0558210i | \(-0.982222\pi\) | ||
0.998441 | − | 0.0558210i | \(-0.0177776\pi\) | |||||||
\(752\) | − | 27.0294i | − | 0.985661i | ||||||
\(753\) | 28.9875 | + | 28.9875i | 1.05636 | + | 1.05636i | ||||
\(754\) | 0.0561604 | + | 1.16437i | 0.00204524 | + | 0.0424037i | ||||
\(755\) | −4.58412 | − | 26.6494i | −0.166833 | − | 0.969873i | ||||
\(756\) | 26.8658 | − | 26.8658i | 0.977101 | − | 0.977101i | ||||
\(757\) | −12.1746 | − | 12.1746i | −0.442495 | − | 0.442495i | 0.450355 | − | 0.892850i | \(-0.351297\pi\) |
−0.892850 | + | 0.450355i | \(0.851297\pi\) | |||||||
\(758\) | 2.60431 | + | 2.60431i | 0.0945928 | + | 0.0945928i | ||||
\(759\) | −2.84269 | − | 2.84269i | −0.103183 | − | 0.103183i | ||||
\(760\) | 0.906880 | + | 5.27208i | 0.0328960 | + | 0.191239i | ||||
\(761\) | −32.0020 | − | 32.0020i | −1.16007 | − | 1.16007i | −0.984459 | − | 0.175614i | \(-0.943809\pi\) |
−0.175614 | − | 0.984459i | \(-0.556191\pi\) | |||||||
\(762\) | − | 4.07304i | − | 0.147551i | ||||||
\(763\) | −15.4423 | + | 15.4423i | −0.559047 | + | 0.559047i | ||||
\(764\) | 25.7874 | 0.932954 | ||||||||
\(765\) | 8.55578 | + | 49.7384i | 0.309335 | + | 1.79830i | ||||
\(766\) | − | 0.960074i | − | 0.0346889i | ||||||
\(767\) | 28.5059 | − | 31.3950i | 1.02929 | − | 1.13361i | ||||
\(768\) | −31.4058 | + | 31.4058i | −1.13326 | + | 1.13326i | ||||
\(769\) | −32.4213 | − | 32.4213i | −1.16914 | − | 1.16914i | −0.982411 | − | 0.186730i | \(-0.940211\pi\) |
−0.186730 | − | 0.982411i | \(-0.559789\pi\) | |||||||
\(770\) | −0.232537 | + | 0.0400000i | −0.00838006 | + | 0.00144150i | ||||
\(771\) | 10.1982i | 0.367278i | ||||||||
\(772\) | 34.6496 | 1.24707 | ||||||||
\(773\) | 41.2156i | 1.48242i | 0.671271 | + | 0.741212i | \(0.265749\pi\) | ||||
−0.671271 | + | 0.741212i | \(0.734251\pi\) | |||||||
\(774\) | −0.752990 | + | 0.752990i | −0.0270657 | + | 0.0270657i | ||||
\(775\) | 12.9004 | + | 6.14750i | 0.463395 | + | 0.220825i | ||||
\(776\) | −2.35869 | −0.0846719 | ||||||||
\(777\) | −21.9380 | + | 21.9380i | −0.787022 | + | 0.787022i | ||||
\(778\) | −3.45987 | −0.124042 | ||||||||
\(779\) | −9.58009 | −0.343242 | ||||||||
\(780\) | 47.5507 | − | 10.5606i | 1.70259 | − | 0.378129i | ||||
\(781\) | 4.28142 | 0.153201 | ||||||||
\(782\) | −1.55155 | −0.0554834 | ||||||||
\(783\) | 17.0464 | − | 17.0464i | 0.609190 | − | 0.609190i | ||||
\(784\) | 13.0486 | 0.466022 | ||||||||
\(785\) | −2.14868 | − | 12.4912i | −0.0766897 | − | 0.445830i | ||||
\(786\) | −3.28087 | + | 3.28087i | −0.117025 | + | 0.117025i | ||||
\(787\) | 46.0209i | 1.64047i | 0.572028 | + | 0.820234i | \(0.306157\pi\) | ||||
−0.572028 | + | 0.820234i | \(0.693843\pi\) | |||||||
\(788\) | −28.2911 | −1.00783 | ||||||||
\(789\) | − | 44.5852i | − | 1.58727i | ||||||
\(790\) | 0.764263 | − | 1.08182i | 0.0271913 | − | 0.0384893i | ||||
\(791\) | 9.50922 | + | 9.50922i | 0.338109 | + | 0.338109i | ||||
\(792\) | −0.979054 | + | 0.979054i | −0.0347892 | + | 0.0347892i | ||||
\(793\) | 25.8326 | − | 1.24597i | 0.917341 | − | 0.0442458i | ||||
\(794\) | 2.00324i | 0.0710925i | ||||||||
\(795\) | 6.06457 | − | 8.58442i | 0.215088 | − | 0.304458i | ||||
\(796\) | 9.44692 | 0.334837 | ||||||||
\(797\) | −31.8556 | + | 31.8556i | −1.12838 | + | 1.12838i | −0.137942 | + | 0.990440i | \(0.544049\pi\) |
−0.990440 | + | 0.137942i | \(0.955951\pi\) | |||||||
\(798\) | 3.49772i | 0.123818i | ||||||||
\(799\) | 17.6147 | + | 17.6147i | 0.623163 | + | 0.623163i | ||||
\(800\) | −2.66664 | − | 7.52182i | −0.0942800 | − | 0.265936i | ||||
\(801\) | 63.0799 | + | 63.0799i | 2.22882 | + | 2.22882i | ||||
\(802\) | −1.28255 | − | 1.28255i | −0.0452885 | − | 0.0452885i | ||||
\(803\) | 1.92539 | + | 1.92539i | 0.0679454 | + | 0.0679454i | ||||
\(804\) | −4.01569 | + | 4.01569i | −0.141622 | + | 0.141622i | ||||
\(805\) | 13.5225 | − | 2.32608i | 0.476606 | − | 0.0819836i | ||||
\(806\) | −0.932611 | + | 1.02713i | −0.0328498 | + | 0.0361793i | ||||
\(807\) | −68.1461 | − | 68.1461i | −2.39885 | − | 2.39885i | ||||
\(808\) | − | 1.90318i | − | 0.0669537i | ||||||
\(809\) | − | 16.8940i | − | 0.593960i | −0.954884 | − | 0.296980i | \(-0.904020\pi\) | ||
0.954884 | − | 0.296980i | \(-0.0959795\pi\) | |||||||
\(810\) | 2.88246 | + | 2.03635i | 0.101279 | + | 0.0715499i | ||||
\(811\) | 13.2761 | − | 13.2761i | 0.466186 | − | 0.466186i | −0.434490 | − | 0.900677i | \(-0.643071\pi\) |
0.900677 | + | 0.434490i | \(0.143071\pi\) | |||||||
\(812\) | −9.08899 | −0.318961 | ||||||||
\(813\) | −87.0206 | −3.05195 | ||||||||
\(814\) | 0.208223 | − | 0.208223i | 0.00729820 | − | 0.00729820i | ||||
\(815\) | −24.2770 | − | 17.1508i | −0.850387 | − | 0.600766i | ||||
\(816\) | − | 42.5484i | − | 1.48949i | ||||||
\(817\) | 5.60907i | 0.196236i | ||||||||
\(818\) | 1.10319 | + | 1.10319i | 0.0385720 | + | 0.0385720i | ||||
\(819\) | 43.2805 | − | 2.08753i | 1.51234 | − | 0.0729442i | ||||
\(820\) | 9.37572 | − | 1.61277i | 0.327414 | − | 0.0563204i | ||||
\(821\) | 3.78395 | − | 3.78395i | 0.132061 | − | 0.132061i | −0.637987 | − | 0.770047i | \(-0.720233\pi\) |
0.770047 | + | 0.637987i | \(0.220233\pi\) | |||||||
\(822\) | 0.557741 | + | 0.557741i | 0.0194535 | + | 0.0194535i | ||||
\(823\) | 17.1423 | + | 17.1423i | 0.597544 | + | 0.597544i | 0.939658 | − | 0.342114i | \(-0.111143\pi\) |
−0.342114 | + | 0.939658i | \(0.611143\pi\) | |||||||
\(824\) | 3.99310 | + | 3.99310i | 0.139106 | + | 0.139106i | ||||
\(825\) | 2.09030 | + | 5.89613i | 0.0727749 | + | 0.205277i | ||||
\(826\) | −2.13820 | − | 2.13820i | −0.0743976 | − | 0.0743976i | ||||
\(827\) | − | 43.2856i | − | 1.50519i | −0.658484 | − | 0.752594i | \(-0.728802\pi\) | ||
0.658484 | − | 0.752594i | \(-0.271198\pi\) | |||||||
\(828\) | 28.3374 | − | 28.3374i | 0.984793 | − | 0.984793i | ||||
\(829\) | 1.24389 | 0.0432021 | 0.0216011 | − | 0.999767i | \(-0.493124\pi\) | ||||
0.0216011 | + | 0.999767i | \(0.493124\pi\) | |||||||
\(830\) | −2.34224 | + | 3.31545i | −0.0813004 | + | 0.115081i | ||||
\(831\) | − | 38.9810i | − | 1.35224i | ||||||
\(832\) | −27.2561 | + | 1.31463i | −0.944934 | + | 0.0455767i | ||||
\(833\) | −8.50362 | + | 8.50362i | −0.294633 | + | 0.294633i | ||||
\(834\) | −4.43771 | − | 4.43771i | −0.153665 | − | 0.153665i | ||||
\(835\) | 16.7702 | − | 23.7383i | 0.580356 | − | 0.821497i | ||||
\(836\) | 3.62992i | 0.125543i | ||||||||
\(837\) | 28.6909 | 0.991702 | ||||||||
\(838\) | − | 3.60345i | − | 0.124479i | ||||||
\(839\) | −0.836014 | + | 0.836014i | −0.0288624 | + | 0.0288624i | −0.721391 | − | 0.692528i | \(-0.756497\pi\) |
0.692528 | + | 0.721391i | \(0.256497\pi\) | |||||||
\(840\) | −1.18304 | − | 6.87753i | −0.0408188 | − | 0.237297i | ||||
\(841\) | 23.2330 | 0.801138 | ||||||||
\(842\) | 3.45973 | − | 3.45973i | 0.119230 | − | 0.119230i | ||||
\(843\) | −26.1348 | −0.900130 | ||||||||
\(844\) | −22.9948 | −0.791513 | ||||||||
\(845\) | 25.2459 | + | 14.4099i | 0.868485 | + | 0.495716i | ||||
\(846\) | 5.88463 | 0.202318 | ||||||||
\(847\) | 20.6850 | 0.710746 | ||||||||
\(848\) | −4.24298 | + | 4.24298i | −0.145705 | + | 0.145705i | ||||
\(849\) | −45.7308 | −1.56948 | ||||||||
\(850\) | 2.17951 | + | 1.03862i | 0.0747567 | + | 0.0356243i | ||||
\(851\) | −12.1086 | + | 12.1086i | −0.415077 | + | 0.415077i | ||||
\(852\) | 63.0255i | 2.15922i | ||||||||
\(853\) | 29.9196 | 1.02443 | 0.512213 | − | 0.858858i | \(-0.328826\pi\) | ||||
0.512213 | + | 0.858858i | \(0.328826\pi\) | |||||||
\(854\) | − | 1.84422i | − | 0.0631080i | ||||||
\(855\) | 61.8880 | − | 10.6457i | 2.11653 | − | 0.364075i | ||||
\(856\) | 5.12773 | + | 5.12773i | 0.175262 | + | 0.175262i | ||||
\(857\) | 25.1427 | − | 25.1427i | 0.858859 | − | 0.858859i | −0.132345 | − | 0.991204i | \(-0.542251\pi\) |
0.991204 | + | 0.132345i | \(0.0422507\pi\) | |||||||
\(858\) | −0.606625 | + | 0.0292591i | −0.0207098 | + | 0.000998890i | ||||
\(859\) | − | 27.3069i | − | 0.931699i | −0.884864 | − | 0.465850i | \(-0.845749\pi\) | ||
0.884864 | − | 0.465850i | \(-0.154251\pi\) | |||||||
\(860\) | −0.944263 | − | 5.48941i | −0.0321991 | − | 0.187187i | ||||
\(861\) | 12.4974 | 0.425910 | ||||||||
\(862\) | 1.83667 | − | 1.83667i | 0.0625573 | − | 0.0625573i | ||||
\(863\) | − | 1.25980i | − | 0.0428841i | −0.999770 | − | 0.0214421i | \(-0.993174\pi\) | ||
0.999770 | − | 0.0214421i | \(-0.00682575\pi\) | |||||||
\(864\) | −11.3298 | − | 11.3298i | −0.385446 | − | 0.385446i | ||||
\(865\) | 5.52448 | + | 32.1162i | 0.187838 | + | 1.09198i | ||||
\(866\) | 3.36939 | + | 3.36939i | 0.114497 | + | 0.114497i | ||||
\(867\) | −8.91660 | − | 8.91660i | −0.302824 | − | 0.302824i | ||||
\(868\) | −7.64884 | − | 7.64884i | −0.259619 | − | 0.259619i | ||||
\(869\) | 1.27687 | − | 1.27687i | 0.0433148 | − | 0.0433148i | ||||
\(870\) | −0.373613 | − | 2.17197i | −0.0126667 | − | 0.0736367i | ||||
\(871\) | −3.38522 | + | 0.163278i | −0.114704 | + | 0.00553247i | ||||
\(872\) | 4.33492 | + | 4.33492i | 0.146799 | + | 0.146799i | ||||
\(873\) | 27.6882i | 0.937103i | ||||||||
\(874\) | 1.93055i | 0.0653018i | ||||||||
\(875\) | −20.5526 | − | 5.78453i | −0.694804 | − | 0.195553i | ||||
\(876\) | −28.3430 | + | 28.3430i | −0.957621 | + | 0.957621i | ||||
\(877\) | 30.9560 | 1.04531 | 0.522655 | − | 0.852544i | \(-0.324941\pi\) | ||||
0.522655 | + | 0.852544i | \(0.324941\pi\) | |||||||
\(878\) | −4.31614 | −0.145663 | ||||||||
\(879\) | −47.4208 | + | 47.4208i | −1.59946 | + | 1.59946i | ||||
\(880\) | −0.605442 | − | 3.51969i | −0.0204094 | − | 0.118649i | ||||
\(881\) | 20.3144i | 0.684409i | 0.939625 | + | 0.342205i | \(0.111174\pi\) | ||||
−0.939625 | + | 0.342205i | \(0.888826\pi\) | |||||||
\(882\) | 2.84084i | 0.0956562i | ||||||||
\(883\) | −3.19427 | − | 3.19427i | −0.107496 | − | 0.107496i | 0.651313 | − | 0.758809i | \(-0.274218\pi\) |
−0.758809 | + | 0.651313i | \(0.774218\pi\) | |||||||
\(884\) | 17.2281 | − | 18.9743i | 0.579445 | − | 0.638174i | ||||
\(885\) | −46.2583 | + | 65.4789i | −1.55496 | + | 2.20105i | ||||
\(886\) | −0.526495 | + | 0.526495i | −0.0176880 | + | 0.0176880i | ||||
\(887\) | 36.4242 | + | 36.4242i | 1.22300 | + | 1.22300i | 0.966559 | + | 0.256446i | \(0.0825515\pi\) |
0.256446 | + | 0.966559i | \(0.417448\pi\) | |||||||
\(888\) | 6.15840 | + | 6.15840i | 0.206662 | + | 0.206662i | ||||
\(889\) | 13.4012 | + | 13.4012i | 0.449461 | + | 0.449461i | ||||
\(890\) | 4.20578 | − | 0.723460i | 0.140978 | − | 0.0242504i | ||||
\(891\) | 3.40216 | + | 3.40216i | 0.113977 | + | 0.113977i | ||||
\(892\) | 30.2258i | 1.01204i | ||||||||
\(893\) | 21.9175 | − | 21.9175i | 0.733440 | − | 0.733440i | ||||
\(894\) | −8.02668 | −0.268452 | ||||||||
\(895\) | −12.0370 | − | 8.50369i | −0.402353 | − | 0.284247i | ||||
\(896\) | 8.04201i | 0.268665i | ||||||||
\(897\) | 35.2765 | − | 1.70148i | 1.17785 | − | 0.0568107i | ||||
\(898\) | 0.342198 | − | 0.342198i | 0.0114193 | − | 0.0114193i | ||||
\(899\) | −4.85321 | − | 4.85321i | −0.161864 | − | 0.161864i | ||||
\(900\) | −58.7756 | + | 20.8372i | −1.95919 | + | 0.694573i | ||||
\(901\) | − | 5.53019i | − | 0.184237i | ||||||
\(902\) | −0.118618 | −0.00394954 | ||||||||
\(903\) | − | 7.31712i | − | 0.243499i | ||||||
\(904\) | 2.66941 | − | 2.66941i | 0.0887833 | − | 0.0887833i | ||||
\(905\) | −20.3793 | + | 28.8469i | −0.677429 | + | 0.958904i | ||||
\(906\) | −4.96320 | −0.164891 | ||||||||
\(907\) | 9.20854 | − | 9.20854i | 0.305764 | − | 0.305764i | −0.537500 | − | 0.843264i | \(-0.680631\pi\) |
0.843264 | + | 0.537500i | \(0.180631\pi\) | |||||||
\(908\) | −30.5788 | −1.01479 | ||||||||
\(909\) | −22.3411 | −0.741008 | ||||||||
\(910\) | 1.11309 | − | 1.74865i | 0.0368984 | − | 0.0579672i | ||||
\(911\) | −34.8310 | −1.15400 | −0.577001 | − | 0.816743i | \(-0.695777\pi\) | ||||
−0.577001 | + | 0.816743i | \(0.695777\pi\) | |||||||
\(912\) | −52.9417 | −1.75307 | ||||||||
\(913\) | −3.91323 | + | 3.91323i | −0.129509 | + | 0.129509i | ||||
\(914\) | 3.12600 | 0.103399 | ||||||||
\(915\) | −48.1873 | + | 8.28895i | −1.59302 | + | 0.274024i | ||||
\(916\) | −8.12947 | + | 8.12947i | −0.268605 | + | 0.268605i | ||||
\(917\) | − | 21.5895i | − | 0.712949i | ||||||
\(918\) | 4.84732 | 0.159985 | ||||||||
\(919\) | 31.7568i | 1.04756i | 0.851854 | + | 0.523779i | \(0.175478\pi\) | ||||
−0.851854 | + | 0.523779i | \(0.824522\pi\) | |||||||
\(920\) | −0.652973 | − | 3.79601i | −0.0215279 | − | 0.125151i | ||||
\(921\) | −20.6920 | − | 20.6920i | −0.681826 | − | 0.681826i | ||||
\(922\) | −3.88219 | + | 3.88219i | −0.127853 | + | 0.127853i | ||||
\(923\) | −25.2839 | + | 27.8465i | −0.832230 | + | 0.916580i | ||||
\(924\) | − | 4.73529i | − | 0.155780i | ||||||
\(925\) | 25.1148 | − | 8.90373i | 0.825770 | − | 0.292753i | ||||
\(926\) | −0.677457 | −0.0222626 | ||||||||
\(927\) | 46.8743 | − | 46.8743i | 1.53955 | − | 1.53955i | ||||
\(928\) | 3.83297i | 0.125824i | ||||||||
\(929\) | −7.17522 | − | 7.17522i | −0.235411 | − | 0.235411i | 0.579536 | − | 0.814947i | \(-0.303234\pi\) |
−0.814947 | + | 0.579536i | \(0.803234\pi\) | |||||||
\(930\) | 1.51341 | − | 2.14224i | 0.0496266 | − | 0.0702467i | ||||
\(931\) | 10.5808 | + | 10.5808i | 0.346772 | + | 0.346772i | ||||
\(932\) | 36.6203 | + | 36.6203i | 1.19954 | + | 1.19954i | ||||
\(933\) | −9.24062 | − | 9.24062i | −0.302524 | − | 0.302524i | ||||
\(934\) | −0.625459 | + | 0.625459i | −0.0204656 | + | 0.0204656i | ||||
\(935\) | 2.68830 | + | 1.89918i | 0.0879167 | + | 0.0621098i | ||||
\(936\) | −0.586008 | − | 12.1496i | −0.0191543 | − | 0.397122i | ||||
\(937\) | 7.87778 | + | 7.87778i | 0.257356 | + | 0.257356i | 0.823978 | − | 0.566622i | \(-0.191750\pi\) |
−0.566622 | + | 0.823978i | \(0.691750\pi\) | |||||||
\(938\) | 0.241676i | 0.00789099i | ||||||||
\(939\) | 23.9380i | 0.781188i | ||||||||
\(940\) | −17.7602 | + | 25.1396i | −0.579273 | + | 0.819964i | ||||
\(941\) | 4.01889 | − | 4.01889i | 0.131012 | − | 0.131012i | −0.638560 | − | 0.769572i | \(-0.720470\pi\) |
0.769572 | + | 0.638560i | \(0.220470\pi\) | |||||||
\(942\) | −2.32637 | −0.0757971 | ||||||||
\(943\) | 6.89787 | 0.224626 | ||||||||
\(944\) | 32.3639 | − | 32.3639i | 1.05336 | − | 1.05336i | ||||
\(945\) | −42.2467 | + | 7.26708i | −1.37428 | + | 0.236398i | ||||
\(946\) | 0.0694498i | 0.00225801i | ||||||||
\(947\) | 46.1032i | 1.49815i | 0.662484 | + | 0.749076i | \(0.269502\pi\) | ||||
−0.662484 | + | 0.749076i | \(0.730498\pi\) | |||||||
\(948\) | 18.7964 | + | 18.7964i | 0.610478 | + | 0.610478i | ||||
\(949\) | −23.8931 | + | 1.15243i | −0.775604 | + | 0.0374094i | ||||
\(950\) | 1.29232 | − | 2.71190i | 0.0419284 | − | 0.0879857i | ||||
\(951\) | 39.9441 | − | 39.9441i | 1.29528 | − | 1.29528i | ||||
\(952\) | −2.59636 | − | 2.59636i | −0.0841485 | − | 0.0841485i | ||||
\(953\) | −24.8080 | − | 24.8080i | −0.803610 | − | 0.803610i | 0.180048 | − | 0.983658i | \(-0.442375\pi\) |
−0.983658 | + | 0.180048i | \(0.942375\pi\) | |||||||
\(954\) | −0.923749 | − | 0.923749i | −0.0299075 | − | 0.0299075i | ||||
\(955\) | −23.7631 | − | 16.7877i | −0.768954 | − | 0.543237i | ||||
\(956\) | 15.5145 | + | 15.5145i | 0.501774 | + | 0.501774i | ||||
\(957\) | − | 3.00455i | − | 0.0971234i | ||||||
\(958\) | 0.814899 | − | 0.814899i | 0.0263282 | − | 0.0263282i | ||||
\(959\) | −3.67017 | −0.118516 | ||||||||
\(960\) | 50.8426 | − | 8.74571i | 1.64094 | − | 0.282267i | ||||
\(961\) | 22.8316i | 0.736502i | ||||||||
\(962\) | 0.124631 | + | 2.58395i | 0.00401825 | + | 0.0833098i | ||||
\(963\) | 60.1935 | − | 60.1935i | 1.93971 | − | 1.93971i | ||||
\(964\) | 18.4128 | + | 18.4128i | 0.593036 | + | 0.593036i | ||||
\(965\) | −31.9296 | − | 22.5571i | −1.02785 | − | 0.726138i | ||||
\(966\) | − | 2.51844i | − | 0.0810294i | ||||||
\(967\) | 58.4700 | 1.88027 | 0.940135 | − | 0.340803i | \(-0.110699\pi\) | ||||
0.940135 | + | 0.340803i | \(0.110699\pi\) | |||||||
\(968\) | − | 5.80666i | − | 0.186633i | ||||||
\(969\) | 34.5014 | − | 34.5014i | 1.10834 | − | 1.10834i | ||||
\(970\) | 1.08182 | + | 0.764263i | 0.0347351 | + | 0.0245390i | ||||
\(971\) | −20.3886 | −0.654303 | −0.327151 | − | 0.944972i | \(-0.606089\pi\) | ||||
−0.327151 | + | 0.944972i | \(0.606089\pi\) | |||||||
\(972\) | −7.87791 | + | 7.87791i | −0.252684 | + | 0.252684i | ||||
\(973\) | 29.2020 | 0.936172 | ||||||||
\(974\) | 1.11822 | 0.0358300 | ||||||||
\(975\) | −50.6929 | − | 21.2241i | −1.62347 | − | 0.679717i | ||||
\(976\) | 27.9142 | 0.893513 | ||||||||
\(977\) | 14.0603 | 0.449830 | 0.224915 | − | 0.974378i | \(-0.427790\pi\) | ||||
0.224915 | + | 0.974378i | \(0.427790\pi\) | |||||||
\(978\) | −3.85776 | + | 3.85776i | −0.123358 | + | 0.123358i | ||||
\(979\) | 5.81798 | 0.185944 | ||||||||
\(980\) | −12.1363 | − | 8.57385i | −0.387681 | − | 0.273882i | ||||
\(981\) | 50.8868 | − | 50.8868i | 1.62469 | − | 1.62469i | ||||
\(982\) | 0.612447i | 0.0195440i | ||||||||
\(983\) | −1.48069 | −0.0472266 | −0.0236133 | − | 0.999721i | \(-0.507517\pi\) | ||||
−0.0236133 | + | 0.999721i | \(0.507517\pi\) | |||||||
\(984\) | − | 3.50824i | − | 0.111839i | ||||||
\(985\) | 26.0702 | + | 18.4176i | 0.830666 | + | 0.586834i | ||||
\(986\) | −0.819949 | − | 0.819949i | −0.0261125 | − | 0.0261125i | ||||
\(987\) | −28.5917 | + | 28.5917i | −0.910084 | + | 0.910084i | ||||
\(988\) | −23.6091 | − | 21.4364i | −0.751106 | − | 0.681984i | ||||
\(989\) | − | 4.03865i | − | 0.128422i | ||||||
\(990\) | 0.766280 | − | 0.131812i | 0.0243540 | − | 0.00418926i | ||||
\(991\) | 8.59028 | 0.272879 | 0.136440 | − | 0.990648i | \(-0.456434\pi\) | ||||
0.136440 | + | 0.990648i | \(0.456434\pi\) | |||||||
\(992\) | −3.22564 | + | 3.22564i | −0.102414 | + | 0.102414i | ||||
\(993\) | 7.16953i | 0.227518i | ||||||||
\(994\) | 1.89653 | + | 1.89653i | 0.0601542 | + | 0.0601542i | ||||
\(995\) | −8.70533 | − | 6.14999i | −0.275978 | − | 0.194968i | ||||
\(996\) | −57.6054 | − | 57.6054i | −1.82530 | − | 1.82530i | ||||
\(997\) | −8.77426 | − | 8.77426i | −0.277884 | − | 0.277884i | 0.554380 | − | 0.832264i | \(-0.312955\pi\) |
−0.832264 | + | 0.554380i | \(0.812955\pi\) | |||||||
\(998\) | 1.47346 | + | 1.47346i | 0.0466416 | + | 0.0466416i | ||||
\(999\) | 37.8293 | − | 37.8293i | 1.19686 | − | 1.19686i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))