Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [354,2,Mod(353,354)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(354, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("354.353");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 354 = 2 \cdot 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 354.c (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.82670423155\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | 10.0.41542366334681088.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} - x^{8} - 2x^{7} + 2x^{6} + 14x^{5} + 6x^{4} - 18x^{3} - 27x^{2} - 81x + 243 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 353.3 | ||
Root | \(1.43134 - 0.975334i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 354.353 |
Dual form | 354.2.c.a.353.4 |
$q$-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 \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.00000 | −0.707107 | ||||||||
\(3\) | −1.43134 | − | 0.975334i | −0.826382 | − | 0.563109i | ||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | 0.0999120i | 0.0446820i | 0.999750 | + | 0.0223410i | \(0.00711195\pi\) | ||||
−0.999750 | + | 0.0223410i | \(0.992888\pi\) | |||||||
\(6\) | 1.43134 | + | 0.975334i | 0.584341 | + | 0.398178i | ||||
\(7\) | 2.48626 | 0.939720 | 0.469860 | − | 0.882741i | \(-0.344304\pi\) | ||||
0.469860 | + | 0.882741i | \(0.344304\pi\) | |||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 1.09745 | + | 2.79206i | 0.365816 | + | 0.930687i | ||||
\(10\) | − | 0.0999120i | − | 0.0315949i | ||||||
\(11\) | −1.50375 | −0.453399 | −0.226699 | − | 0.973965i | \(-0.572793\pi\) | ||||
−0.226699 | + | 0.973965i | \(0.572793\pi\) | |||||||
\(12\) | −1.43134 | − | 0.975334i | −0.413191 | − | 0.281555i | ||||
\(13\) | 3.74859i | 1.03967i | 0.854266 | + | 0.519836i | \(0.174007\pi\) | ||||
−0.854266 | + | 0.519836i | \(0.825993\pi\) | |||||||
\(14\) | −2.48626 | −0.664482 | ||||||||
\(15\) | 0.0974475 | − | 0.143008i | 0.0251608 | − | 0.0369244i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | − | 6.68366i | − | 1.62103i | −0.585721 | − | 0.810513i | \(-0.699188\pi\) | ||
0.585721 | − | 0.810513i | \(-0.300812\pi\) | |||||||
\(18\) | −1.09745 | − | 2.79206i | −0.258671 | − | 0.658095i | ||||
\(19\) | 3.99002 | 0.915373 | 0.457686 | − | 0.889114i | \(-0.348678\pi\) | ||||
0.457686 | + | 0.889114i | \(0.348678\pi\) | |||||||
\(20\) | 0.0999120i | 0.0223410i | ||||||||
\(21\) | −3.55868 | − | 2.42494i | −0.776568 | − | 0.529165i | ||||
\(22\) | 1.50375 | 0.320601 | ||||||||
\(23\) | 7.31226 | 1.52471 | 0.762356 | − | 0.647158i | \(-0.224043\pi\) | ||||
0.762356 | + | 0.647158i | \(0.224043\pi\) | |||||||
\(24\) | 1.43134 | + | 0.975334i | 0.292170 | + | 0.199089i | ||||
\(25\) | 4.99002 | 0.998004 | ||||||||
\(26\) | − | 3.74859i | − | 0.735159i | ||||||
\(27\) | 1.15238 | − | 5.06676i | 0.221775 | − | 0.975098i | ||||
\(28\) | 2.48626 | 0.469860 | ||||||||
\(29\) | 3.18348i | 0.591157i | 0.955318 | + | 0.295578i | \(0.0955124\pi\) | ||||
−0.955318 | + | 0.295578i | \(0.904488\pi\) | |||||||
\(30\) | −0.0974475 | + | 0.143008i | −0.0177914 | + | 0.0261095i | ||||
\(31\) | − | 9.23530i | − | 1.65871i | −0.558722 | − | 0.829355i | \(-0.688708\pi\) | ||
0.558722 | − | 0.829355i | \(-0.311292\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 2.15238 | + | 1.46666i | 0.374681 | + | 0.255313i | ||||
\(34\) | 6.68366i | 1.14624i | ||||||||
\(35\) | 0.248408i | 0.0419885i | ||||||||
\(36\) | 1.09745 | + | 2.79206i | 0.182908 | + | 0.465344i | ||||
\(37\) | 0.665027i | 0.109330i | 0.998505 | + | 0.0546649i | \(0.0174090\pi\) | ||||
−0.998505 | + | 0.0546649i | \(0.982591\pi\) | |||||||
\(38\) | −3.99002 | −0.647266 | ||||||||
\(39\) | 3.65613 | − | 5.36550i | 0.585449 | − | 0.859167i | ||||
\(40\) | − | 0.0999120i | − | 0.0157975i | ||||||
\(41\) | 3.99875i | 0.624499i | 0.950000 | + | 0.312250i | \(0.101083\pi\) | ||||
−0.950000 | + | 0.312250i | \(0.898917\pi\) | |||||||
\(42\) | 3.55868 | + | 2.42494i | 0.549116 | + | 0.374176i | ||||
\(43\) | − | 10.0506i | − | 1.53270i | −0.642424 | − | 0.766349i | \(-0.722071\pi\) | ||
0.642424 | − | 0.766349i | \(-0.277929\pi\) | |||||||
\(44\) | −1.50375 | −0.226699 | ||||||||
\(45\) | −0.278960 | + | 0.109648i | −0.0415850 | + | 0.0163454i | ||||
\(46\) | −7.31226 | −1.07813 | ||||||||
\(47\) | 4.30475 | 0.627913 | 0.313956 | − | 0.949437i | \(-0.398345\pi\) | ||||
0.313956 | + | 0.949437i | \(0.398345\pi\) | |||||||
\(48\) | −1.43134 | − | 0.975334i | −0.206596 | − | 0.140777i | ||||
\(49\) | −0.818487 | −0.116927 | ||||||||
\(50\) | −4.99002 | −0.705695 | ||||||||
\(51\) | −6.51880 | + | 9.56657i | −0.912815 | + | 1.33959i | ||||
\(52\) | 3.74859i | 0.519836i | ||||||||
\(53\) | 0.250155i | 0.0343614i | 0.999852 | + | 0.0171807i | \(0.00546906\pi\) | ||||
−0.999852 | + | 0.0171807i | \(0.994531\pi\) | |||||||
\(54\) | −1.15238 | + | 5.06676i | −0.156819 | + | 0.689498i | ||||
\(55\) | − | 0.150243i | − | 0.0202587i | ||||||
\(56\) | −2.48626 | −0.332241 | ||||||||
\(57\) | −5.71106 | − | 3.89160i | −0.756448 | − | 0.515455i | ||||
\(58\) | − | 3.18348i | − | 0.418011i | ||||||
\(59\) | 7.65780 | − | 0.598474i | 0.996960 | − | 0.0779147i | ||||
\(60\) | 0.0974475 | − | 0.143008i | 0.0125804 | − | 0.0184622i | ||||
\(61\) | 13.2188i | 1.69250i | 0.532788 | + | 0.846249i | \(0.321144\pi\) | ||||
−0.532788 | + | 0.846249i | \(0.678856\pi\) | |||||||
\(62\) | 9.23530i | 1.17288i | ||||||||
\(63\) | 2.72855 | + | 6.94181i | 0.343764 | + | 0.874585i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −0.374529 | −0.0464546 | ||||||||
\(66\) | −2.15238 | − | 1.46666i | −0.264939 | − | 0.180533i | ||||
\(67\) | 7.06709i | 0.863382i | 0.902022 | + | 0.431691i | \(0.142083\pi\) | ||||
−0.902022 | + | 0.431691i | \(0.857917\pi\) | |||||||
\(68\) | − | 6.68366i | − | 0.810513i | ||||||
\(69\) | −10.4663 | − | 7.13189i | −1.25999 | − | 0.858579i | ||||
\(70\) | − | 0.248408i | − | 0.0296904i | ||||||
\(71\) | 10.1991i | 1.21041i | 0.796071 | + | 0.605203i | \(0.206908\pi\) | ||||
−0.796071 | + | 0.605203i | \(0.793092\pi\) | |||||||
\(72\) | −1.09745 | − | 2.79206i | −0.129335 | − | 0.329048i | ||||
\(73\) | − | 11.3305i | − | 1.32613i | −0.748562 | − | 0.663065i | \(-0.769255\pi\) | ||
0.748562 | − | 0.663065i | \(-0.230745\pi\) | |||||||
\(74\) | − | 0.665027i | − | 0.0773078i | ||||||
\(75\) | −7.14239 | − | 4.86693i | −0.824733 | − | 0.561985i | ||||
\(76\) | 3.99002 | 0.457686 | ||||||||
\(77\) | −3.73873 | −0.426068 | ||||||||
\(78\) | −3.65613 | + | 5.36550i | −0.413975 | + | 0.607523i | ||||
\(79\) | −9.13074 | −1.02729 | −0.513645 | − | 0.858003i | \(-0.671705\pi\) | ||||
−0.513645 | + | 0.858003i | \(0.671705\pi\) | |||||||
\(80\) | 0.0999120i | 0.0111705i | ||||||||
\(81\) | −6.59122 | + | 6.12828i | −0.732358 | + | 0.680920i | ||||
\(82\) | − | 3.99875i | − | 0.441588i | ||||||
\(83\) | 5.43398 | 0.596456 | 0.298228 | − | 0.954495i | \(-0.403604\pi\) | ||||
0.298228 | + | 0.954495i | \(0.403604\pi\) | |||||||
\(84\) | −3.55868 | − | 2.42494i | −0.388284 | − | 0.264582i | ||||
\(85\) | 0.667778 | 0.0724307 | ||||||||
\(86\) | 10.0506i | 1.08378i | ||||||||
\(87\) | 3.10495 | − | 4.55663i | 0.332886 | − | 0.488522i | ||||
\(88\) | 1.50375 | 0.160301 | ||||||||
\(89\) | −8.23497 | −0.872906 | −0.436453 | − | 0.899727i | \(-0.643765\pi\) | ||||
−0.436453 | + | 0.899727i | \(0.643765\pi\) | |||||||
\(90\) | 0.278960 | − | 0.109648i | 0.0294050 | − | 0.0115579i | ||||
\(91\) | 9.31999i | 0.977001i | ||||||||
\(92\) | 7.31226 | 0.762356 | ||||||||
\(93\) | −9.00751 | + | 13.2188i | −0.934035 | + | 1.37073i | ||||
\(94\) | −4.30475 | −0.444001 | ||||||||
\(95\) | 0.398650i | 0.0409007i | ||||||||
\(96\) | 1.43134 | + | 0.975334i | 0.146085 | + | 0.0995446i | ||||
\(97\) | − | 3.83328i | − | 0.389211i | −0.980882 | − | 0.194605i | \(-0.937657\pi\) | ||
0.980882 | − | 0.194605i | \(-0.0623426\pi\) | |||||||
\(98\) | 0.818487 | 0.0826797 | ||||||||
\(99\) | −1.65029 | − | 4.19857i | −0.165860 | − | 0.421972i | ||||
\(100\) | 4.99002 | 0.499002 | ||||||||
\(101\) | −9.73873 | −0.969040 | −0.484520 | − | 0.874780i | \(-0.661006\pi\) | ||||
−0.484520 | + | 0.874780i | \(0.661006\pi\) | |||||||
\(102\) | 6.51880 | − | 9.56657i | 0.645458 | − | 0.947231i | ||||
\(103\) | − | 1.88836i | − | 0.186066i | −0.995663 | − | 0.0930330i | \(-0.970344\pi\) | ||
0.995663 | − | 0.0930330i | \(-0.0296562\pi\) | |||||||
\(104\) | − | 3.74859i | − | 0.367580i | ||||||
\(105\) | 0.242280 | − | 0.355555i | 0.0236441 | − | 0.0346986i | ||||
\(106\) | − | 0.250155i | − | 0.0242972i | ||||||
\(107\) | 1.98828i | 0.192214i | 0.995371 | + | 0.0961069i | \(0.0306391\pi\) | ||||
−0.995371 | + | 0.0961069i | \(0.969361\pi\) | |||||||
\(108\) | 1.15238 | − | 5.06676i | 0.110887 | − | 0.487549i | ||||
\(109\) | 9.53579i | 0.913363i | 0.889630 | + | 0.456682i | \(0.150962\pi\) | ||||
−0.889630 | + | 0.456682i | \(0.849038\pi\) | |||||||
\(110\) | 0.150243i | 0.0143251i | ||||||||
\(111\) | 0.648623 | − | 0.951877i | 0.0615646 | − | 0.0903482i | ||||
\(112\) | 2.48626 | 0.234930 | ||||||||
\(113\) | 13.6203 | 1.28129 | 0.640647 | − | 0.767836i | \(-0.278666\pi\) | ||||
0.640647 | + | 0.767836i | \(0.278666\pi\) | |||||||
\(114\) | 5.71106 | + | 3.89160i | 0.534890 | + | 0.364482i | ||||
\(115\) | 0.730582i | 0.0681271i | ||||||||
\(116\) | 3.18348i | 0.295578i | ||||||||
\(117\) | −10.4663 | + | 4.11388i | −0.967610 | + | 0.380329i | ||||
\(118\) | −7.65780 | + | 0.598474i | −0.704957 | + | 0.0550940i | ||||
\(119\) | − | 16.6174i | − | 1.52331i | ||||||
\(120\) | −0.0974475 | + | 0.143008i | −0.00889570 | + | 0.0130547i | ||||
\(121\) | −8.73873 | −0.794430 | ||||||||
\(122\) | − | 13.2188i | − | 1.19678i | ||||||
\(123\) | 3.90011 | − | 5.72355i | 0.351661 | − | 0.516075i | ||||
\(124\) | − | 9.23530i | − | 0.829355i | ||||||
\(125\) | 0.998122i | 0.0892748i | ||||||||
\(126\) | −2.72855 | − | 6.94181i | −0.243078 | − | 0.618425i | ||||
\(127\) | −1.08727 | −0.0964792 | −0.0482396 | − | 0.998836i | \(-0.515361\pi\) | ||||
−0.0482396 | + | 0.998836i | \(0.515361\pi\) | |||||||
\(128\) | −1.00000 | −0.0883883 | ||||||||
\(129\) | −9.80267 | + | 14.3858i | −0.863077 | + | 1.26659i | ||||
\(130\) | 0.374529 | 0.0328484 | ||||||||
\(131\) | 2.06978 | 0.180837 | 0.0904186 | − | 0.995904i | \(-0.471179\pi\) | ||||
0.0904186 | + | 0.995904i | \(0.471179\pi\) | |||||||
\(132\) | 2.15238 | + | 1.46666i | 0.187340 | + | 0.127656i | ||||
\(133\) | 9.92024 | 0.860194 | ||||||||
\(134\) | − | 7.06709i | − | 0.610503i | ||||||
\(135\) | 0.506230 | + | 0.115136i | 0.0435693 | + | 0.00990934i | ||||
\(136\) | 6.68366i | 0.573119i | ||||||||
\(137\) | 3.26816i | 0.279218i | 0.990207 | + | 0.139609i | \(0.0445846\pi\) | ||||
−0.990207 | + | 0.139609i | \(0.955415\pi\) | |||||||
\(138\) | 10.4663 | + | 7.13189i | 0.890951 | + | 0.607107i | ||||
\(139\) | 16.2500 | 1.37831 | 0.689153 | − | 0.724616i | \(-0.257983\pi\) | ||||
0.689153 | + | 0.724616i | \(0.257983\pi\) | |||||||
\(140\) | 0.248408i | 0.0209943i | ||||||||
\(141\) | −6.16155 | − | 4.19857i | −0.518896 | − | 0.353583i | ||||
\(142\) | − | 10.1991i | − | 0.855887i | ||||||
\(143\) | − | 5.63696i | − | 0.471386i | ||||||
\(144\) | 1.09745 | + | 2.79206i | 0.0914540 | + | 0.232672i | ||||
\(145\) | −0.318067 | −0.0264141 | ||||||||
\(146\) | 11.3305i | 0.937716i | ||||||||
\(147\) | 1.17153 | + | 0.798298i | 0.0966262 | + | 0.0658425i | ||||
\(148\) | 0.665027i | 0.0546649i | ||||||||
\(149\) | 4.42980 | 0.362904 | 0.181452 | − | 0.983400i | \(-0.441920\pi\) | ||||
0.181452 | + | 0.983400i | \(0.441920\pi\) | |||||||
\(150\) | 7.14239 | + | 4.86693i | 0.583174 | + | 0.397383i | ||||
\(151\) | − | 12.6194i | − | 1.02695i | −0.858105 | − | 0.513474i | \(-0.828358\pi\) | ||
0.858105 | − | 0.513474i | \(-0.171642\pi\) | |||||||
\(152\) | −3.99002 | −0.323633 | ||||||||
\(153\) | 18.6612 | − | 7.33497i | 1.50867 | − | 0.592997i | ||||
\(154\) | 3.73873 | 0.301275 | ||||||||
\(155\) | 0.922717 | 0.0741144 | ||||||||
\(156\) | 3.65613 | − | 5.36550i | 0.292725 | − | 0.429583i | ||||
\(157\) | 15.4024i | 1.22925i | 0.788820 | + | 0.614624i | \(0.210692\pi\) | ||||
−0.788820 | + | 0.614624i | \(0.789308\pi\) | |||||||
\(158\) | 9.13074 | 0.726403 | ||||||||
\(159\) | 0.243984 | − | 0.358056i | 0.0193492 | − | 0.0283957i | ||||
\(160\) | − | 0.0999120i | − | 0.00789873i | ||||||
\(161\) | 18.1802 | 1.43280 | ||||||||
\(162\) | 6.59122 | − | 6.12828i | 0.517855 | − | 0.481483i | ||||
\(163\) | −11.2458 | −0.880840 | −0.440420 | − | 0.897792i | \(-0.645170\pi\) | ||||
−0.440420 | + | 0.897792i | \(0.645170\pi\) | |||||||
\(164\) | 3.99875i | 0.312250i | ||||||||
\(165\) | −0.146537 | + | 0.215048i | −0.0114079 | + | 0.0167415i | ||||
\(166\) | −5.43398 | −0.421758 | ||||||||
\(167\) | 7.44685i | 0.576255i | 0.957592 | + | 0.288127i | \(0.0930327\pi\) | ||||
−0.957592 | + | 0.288127i | \(0.906967\pi\) | |||||||
\(168\) | 3.55868 | + | 2.42494i | 0.274558 | + | 0.187088i | ||||
\(169\) | −1.05194 | −0.0809185 | ||||||||
\(170\) | −0.667778 | −0.0512162 | ||||||||
\(171\) | 4.37883 | + | 11.1404i | 0.334858 | + | 0.851926i | ||||
\(172\) | − | 10.0506i | − | 0.766349i | ||||||
\(173\) | 1.87828 | 0.142803 | 0.0714016 | − | 0.997448i | \(-0.477253\pi\) | ||||
0.0714016 | + | 0.997448i | \(0.477253\pi\) | |||||||
\(174\) | −3.10495 | + | 4.55663i | −0.235386 | + | 0.345437i | ||||
\(175\) | 12.4065 | 0.937844 | ||||||||
\(176\) | −1.50375 | −0.113350 | ||||||||
\(177\) | −11.5446 | − | 6.61229i | −0.867745 | − | 0.497010i | ||||
\(178\) | 8.23497 | 0.617237 | ||||||||
\(179\) | −14.4415 | −1.07941 | −0.539703 | − | 0.841855i | \(-0.681464\pi\) | ||||
−0.539703 | + | 0.841855i | \(0.681464\pi\) | |||||||
\(180\) | −0.278960 | + | 0.109648i | −0.0207925 | + | 0.00817269i | ||||
\(181\) | −19.5756 | −1.45504 | −0.727520 | − | 0.686087i | \(-0.759327\pi\) | ||||
−0.727520 | + | 0.686087i | \(0.759327\pi\) | |||||||
\(182\) | − | 9.31999i | − | 0.690844i | ||||||
\(183\) | 12.8928 | − | 18.9206i | 0.953061 | − | 1.39865i | ||||
\(184\) | −7.31226 | −0.539067 | ||||||||
\(185\) | −0.0664441 | −0.00488507 | ||||||||
\(186\) | 9.00751 | − | 13.2188i | 0.660462 | − | 0.969251i | ||||
\(187\) | 10.0506i | 0.734971i | ||||||||
\(188\) | 4.30475 | 0.313956 | ||||||||
\(189\) | 2.86511 | − | 12.5973i | 0.208406 | − | 0.916319i | ||||
\(190\) | − | 0.398650i | − | 0.0289211i | ||||||
\(191\) | −2.00333 | −0.144956 | −0.0724780 | − | 0.997370i | \(-0.523091\pi\) | ||||
−0.0724780 | + | 0.997370i | \(0.523091\pi\) | |||||||
\(192\) | −1.43134 | − | 0.975334i | −0.103298 | − | 0.0703887i | ||||
\(193\) | 6.79102 | 0.488828 | 0.244414 | − | 0.969671i | \(-0.421404\pi\) | ||||
0.244414 | + | 0.969671i | \(0.421404\pi\) | |||||||
\(194\) | 3.83328i | 0.275213i | ||||||||
\(195\) | 0.536077 | + | 0.365291i | 0.0383893 | + | 0.0261590i | ||||
\(196\) | −0.818487 | −0.0584634 | ||||||||
\(197\) | − | 3.36517i | − | 0.239758i | −0.992789 | − | 0.119879i | \(-0.961749\pi\) | ||
0.992789 | − | 0.119879i | \(-0.0382507\pi\) | |||||||
\(198\) | 1.65029 | + | 4.19857i | 0.117281 | + | 0.298379i | ||||
\(199\) | −12.2483 | −0.868258 | −0.434129 | − | 0.900851i | \(-0.642944\pi\) | ||||
−0.434129 | + | 0.900851i | \(0.642944\pi\) | |||||||
\(200\) | −4.99002 | −0.352848 | ||||||||
\(201\) | 6.89277 | − | 10.1154i | 0.486179 | − | 0.713484i | ||||
\(202\) | 9.73873 | 0.685214 | ||||||||
\(203\) | 7.91497i | 0.555522i | ||||||||
\(204\) | −6.51880 | + | 9.56657i | −0.456407 | + | 0.669794i | ||||
\(205\) | −0.399523 | −0.0279039 | ||||||||
\(206\) | 1.88836i | 0.131569i | ||||||||
\(207\) | 8.02482 | + | 20.4163i | 0.557763 | + | 1.41903i | ||||
\(208\) | 3.74859i | 0.259918i | ||||||||
\(209\) | −6.00000 | −0.415029 | ||||||||
\(210\) | −0.242280 | + | 0.355555i | −0.0167189 | + | 0.0245356i | ||||
\(211\) | 2.12329i | 0.146174i | 0.997326 | + | 0.0730868i | \(0.0232850\pi\) | ||||
−0.997326 | + | 0.0730868i | \(0.976715\pi\) | |||||||
\(212\) | 0.250155i | 0.0171807i | ||||||||
\(213\) | 9.94750 | − | 14.5983i | 0.681591 | − | 1.00026i | ||||
\(214\) | − | 1.98828i | − | 0.135916i | ||||||
\(215\) | 1.00417 | 0.0684840 | ||||||||
\(216\) | −1.15238 | + | 5.06676i | −0.0784093 | + | 0.344749i | ||||
\(217\) | − | 22.9614i | − | 1.55872i | ||||||
\(218\) | − | 9.53579i | − | 0.645845i | ||||||
\(219\) | −11.0510 | + | 16.2177i | −0.746756 | + | 1.09589i | ||||
\(220\) | − | 0.150243i | − | 0.0101294i | ||||||
\(221\) | 25.0543 | 1.68534 | ||||||||
\(222\) | −0.648623 | + | 0.951877i | −0.0435327 | + | 0.0638858i | ||||
\(223\) | 5.17553 | 0.346579 | 0.173290 | − | 0.984871i | \(-0.444560\pi\) | ||||
0.173290 | + | 0.984871i | \(0.444560\pi\) | |||||||
\(224\) | −2.48626 | −0.166121 | ||||||||
\(225\) | 5.47628 | + | 13.9324i | 0.365085 | + | 0.928829i | ||||
\(226\) | −13.6203 | −0.906012 | ||||||||
\(227\) | −29.3591 | −1.94863 | −0.974315 | − | 0.225190i | \(-0.927700\pi\) | ||||
−0.974315 | + | 0.225190i | \(0.927700\pi\) | |||||||
\(228\) | −5.71106 | − | 3.89160i | −0.378224 | − | 0.257727i | ||||
\(229\) | − | 7.00153i | − | 0.462674i | −0.972874 | − | 0.231337i | \(-0.925690\pi\) | ||
0.972874 | − | 0.231337i | \(-0.0743100\pi\) | |||||||
\(230\) | − | 0.730582i | − | 0.0481731i | ||||||
\(231\) | 5.35138 | + | 3.64651i | 0.352095 | + | 0.239923i | ||||
\(232\) | − | 3.18348i | − | 0.209006i | ||||||
\(233\) | −24.8628 | −1.62882 | −0.814409 | − | 0.580292i | \(-0.802939\pi\) | ||||
−0.814409 | + | 0.580292i | \(0.802939\pi\) | |||||||
\(234\) | 10.4663 | − | 4.11388i | 0.684203 | − | 0.268933i | ||||
\(235\) | 0.430096i | 0.0280564i | ||||||||
\(236\) | 7.65780 | − | 0.598474i | 0.498480 | − | 0.0389574i | ||||
\(237\) | 13.0692 | + | 8.90552i | 0.848934 | + | 0.578476i | ||||
\(238\) | 16.6174i | 1.07714i | ||||||||
\(239\) | − | 3.43288i | − | 0.222055i | −0.993817 | − | 0.111027i | \(-0.964586\pi\) | ||
0.993817 | − | 0.111027i | \(-0.0354141\pi\) | |||||||
\(240\) | 0.0974475 | − | 0.143008i | 0.00629021 | − | 0.00923110i | ||||
\(241\) | 8.12675 | 0.523490 | 0.261745 | − | 0.965137i | \(-0.415702\pi\) | ||||
0.261745 | + | 0.965137i | \(0.415702\pi\) | |||||||
\(242\) | 8.73873 | 0.561747 | ||||||||
\(243\) | 15.4114 | − | 2.34300i | 0.988640 | − | 0.150303i | ||||
\(244\) | 13.2188i | 0.846249i | ||||||||
\(245\) | − | 0.0817767i | − | 0.00522452i | ||||||
\(246\) | −3.90011 | + | 5.72355i | −0.248662 | + | 0.364920i | ||||
\(247\) | 14.9569i | 0.951688i | ||||||||
\(248\) | 9.23530i | 0.586442i | ||||||||
\(249\) | −7.77785 | − | 5.29994i | −0.492901 | − | 0.335870i | ||||
\(250\) | − | 0.998122i | − | 0.0631268i | ||||||
\(251\) | − | 19.2860i | − | 1.21732i | −0.793429 | − | 0.608662i | \(-0.791706\pi\) | ||
0.793429 | − | 0.608662i | \(-0.208294\pi\) | |||||||
\(252\) | 2.72855 | + | 6.94181i | 0.171882 | + | 0.437293i | ||||
\(253\) | −10.9958 | −0.691302 | ||||||||
\(254\) | 1.08727 | 0.0682211 | ||||||||
\(255\) | −0.955814 | − | 0.651306i | −0.0598554 | − | 0.0407864i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | − | 31.2661i | − | 1.95033i | −0.221483 | − | 0.975164i | \(-0.571090\pi\) | ||
0.221483 | − | 0.975164i | \(-0.428910\pi\) | |||||||
\(258\) | 9.80267 | − | 14.3858i | 0.610287 | − | 0.895618i | ||||
\(259\) | 1.65343i | 0.102739i | ||||||||
\(260\) | −0.374529 | −0.0232273 | ||||||||
\(261\) | −8.88846 | + | 3.49370i | −0.550182 | + | 0.216255i | ||||
\(262\) | −2.06978 | −0.127871 | ||||||||
\(263\) | − | 21.5816i | − | 1.33078i | −0.746496 | − | 0.665390i | \(-0.768265\pi\) | ||
0.746496 | − | 0.665390i | \(-0.231735\pi\) | |||||||
\(264\) | −2.15238 | − | 1.46666i | −0.132470 | − | 0.0902667i | ||||
\(265\) | −0.0249935 | −0.00153534 | ||||||||
\(266\) | −9.92024 | −0.608249 | ||||||||
\(267\) | 11.7870 | + | 8.03185i | 0.721354 | + | 0.491541i | ||||
\(268\) | 7.06709i | 0.431691i | ||||||||
\(269\) | 1.12922 | 0.0688500 | 0.0344250 | − | 0.999407i | \(-0.489040\pi\) | ||||
0.0344250 | + | 0.999407i | \(0.489040\pi\) | |||||||
\(270\) | −0.506230 | − | 0.115136i | −0.0308082 | − | 0.00700696i | ||||
\(271\) | −1.65329 | −0.100430 | −0.0502151 | − | 0.998738i | \(-0.515991\pi\) | ||||
−0.0502151 | + | 0.998738i | \(0.515991\pi\) | |||||||
\(272\) | − | 6.68366i | − | 0.405256i | ||||||
\(273\) | 9.09010 | − | 13.3400i | 0.550158 | − | 0.807376i | ||||
\(274\) | − | 3.26816i | − | 0.197437i | ||||||
\(275\) | −7.50375 | −0.452493 | ||||||||
\(276\) | −10.4663 | − | 7.13189i | −0.629997 | − | 0.429289i | ||||
\(277\) | 2.31824 | 0.139290 | 0.0696448 | − | 0.997572i | \(-0.477813\pi\) | ||||
0.0696448 | + | 0.997572i | \(0.477813\pi\) | |||||||
\(278\) | −16.2500 | −0.974609 | ||||||||
\(279\) | 25.7855 | − | 10.1353i | 1.54374 | − | 0.606782i | ||||
\(280\) | − | 0.248408i | − | 0.0148452i | ||||||
\(281\) | 23.6300i | 1.40965i | 0.709381 | + | 0.704825i | \(0.248974\pi\) | ||||
−0.709381 | + | 0.704825i | \(0.751026\pi\) | |||||||
\(282\) | 6.16155 | + | 4.19857i | 0.366915 | + | 0.250021i | ||||
\(283\) | − | 23.8843i | − | 1.41977i | −0.704317 | − | 0.709886i | \(-0.748746\pi\) | ||
0.704317 | − | 0.709886i | \(-0.251254\pi\) | |||||||
\(284\) | 10.1991i | 0.605203i | ||||||||
\(285\) | 0.388817 | − | 0.570603i | 0.0230316 | − | 0.0337996i | ||||
\(286\) | 5.63696i | 0.333320i | ||||||||
\(287\) | 9.94194i | 0.586854i | ||||||||
\(288\) | −1.09745 | − | 2.79206i | −0.0646677 | − | 0.164524i | ||||
\(289\) | −27.6713 | −1.62773 | ||||||||
\(290\) | 0.318067 | 0.0186776 | ||||||||
\(291\) | −3.73873 | + | 5.48671i | −0.219168 | + | 0.321637i | ||||
\(292\) | − | 11.3305i | − | 0.663065i | ||||||
\(293\) | − | 6.61014i | − | 0.386168i | −0.981182 | − | 0.193084i | \(-0.938151\pi\) | ||
0.981182 | − | 0.193084i | \(-0.0618490\pi\) | |||||||
\(294\) | −1.17153 | − | 0.798298i | −0.0683250 | − | 0.0465577i | ||||
\(295\) | 0.0597947 | + | 0.765105i | 0.00348138 | + | 0.0445462i | ||||
\(296\) | − | 0.665027i | − | 0.0386539i | ||||||
\(297\) | −1.73289 | + | 7.61915i | −0.100552 | + | 0.442108i | ||||
\(298\) | −4.42980 | −0.256612 | ||||||||
\(299\) | 27.4107i | 1.58520i | ||||||||
\(300\) | −7.14239 | − | 4.86693i | −0.412366 | − | 0.280993i | ||||
\(301\) | − | 24.9884i | − | 1.44031i | ||||||
\(302\) | 12.6194i | 0.726162i | ||||||||
\(303\) | 13.9394 | + | 9.49851i | 0.800797 | + | 0.545675i | ||||
\(304\) | 3.99002 | 0.228843 | ||||||||
\(305\) | −1.32072 | −0.0756241 | ||||||||
\(306\) | −18.6612 | + | 7.33497i | −1.06679 | + | 0.419312i | ||||
\(307\) | −27.6453 | −1.57780 | −0.788901 | − | 0.614520i | \(-0.789350\pi\) | ||||
−0.788901 | + | 0.614520i | \(0.789350\pi\) | |||||||
\(308\) | −3.73873 | −0.213034 | ||||||||
\(309\) | −1.84178 | + | 2.70288i | −0.104775 | + | 0.153762i | ||||
\(310\) | −0.922717 | −0.0524068 | ||||||||
\(311\) | 23.5349i | 1.33454i | 0.744814 | + | 0.667272i | \(0.232538\pi\) | ||||
−0.744814 | + | 0.667272i | \(0.767462\pi\) | |||||||
\(312\) | −3.65613 | + | 5.36550i | −0.206988 | + | 0.303761i | ||||
\(313\) | 26.8677i | 1.51866i | 0.650709 | + | 0.759328i | \(0.274472\pi\) | ||||
−0.650709 | + | 0.759328i | \(0.725528\pi\) | |||||||
\(314\) | − | 15.4024i | − | 0.869210i | ||||||
\(315\) | −0.693569 | + | 0.272614i | −0.0390782 | + | 0.0153601i | ||||
\(316\) | −9.13074 | −0.513645 | ||||||||
\(317\) | 32.1230i | 1.80421i | 0.431518 | + | 0.902104i | \(0.357978\pi\) | ||||
−0.431518 | + | 0.902104i | \(0.642022\pi\) | |||||||
\(318\) | −0.243984 | + | 0.358056i | −0.0136820 | + | 0.0200788i | ||||
\(319\) | − | 4.78716i | − | 0.268030i | ||||||
\(320\) | 0.0999120i | 0.00558525i | ||||||||
\(321\) | 1.93923 | − | 2.84589i | 0.108237 | − | 0.158842i | ||||
\(322\) | −18.1802 | −1.01314 | ||||||||
\(323\) | − | 26.6679i | − | 1.48384i | ||||||
\(324\) | −6.59122 | + | 6.12828i | −0.366179 | + | 0.340460i | ||||
\(325\) | 18.7055i | 1.03760i | ||||||||
\(326\) | 11.2458 | 0.622848 | ||||||||
\(327\) | 9.30058 | − | 13.6489i | 0.514323 | − | 0.754787i | ||||
\(328\) | − | 3.99875i | − | 0.220794i | ||||||
\(329\) | 10.7028 | 0.590062 | ||||||||
\(330\) | 0.146537 | − | 0.215048i | 0.00806660 | − | 0.0118380i | ||||
\(331\) | −19.7922 | −1.08788 | −0.543939 | − | 0.839125i | \(-0.683068\pi\) | ||||
−0.543939 | + | 0.839125i | \(0.683068\pi\) | |||||||
\(332\) | 5.43398 | 0.298228 | ||||||||
\(333\) | −1.85680 | + | 0.729832i | −0.101752 | + | 0.0399946i | ||||
\(334\) | − | 7.44685i | − | 0.407474i | ||||||
\(335\) | −0.706087 | −0.0385776 | ||||||||
\(336\) | −3.55868 | − | 2.42494i | −0.194142 | − | 0.132291i | ||||
\(337\) | 13.2034i | 0.719237i | 0.933099 | + | 0.359618i | \(0.117093\pi\) | ||||
−0.933099 | + | 0.359618i | \(0.882907\pi\) | |||||||
\(338\) | 1.05194 | 0.0572180 | ||||||||
\(339\) | −19.4953 | − | 13.2844i | −1.05884 | − | 0.721509i | ||||
\(340\) | 0.667778 | 0.0362153 | ||||||||
\(341\) | 13.8876i | 0.752056i | ||||||||
\(342\) | −4.37883 | − | 11.1404i | −0.236780 | − | 0.602403i | ||||
\(343\) | −19.4388 | −1.04960 | ||||||||
\(344\) | 10.0506i | 0.541891i | ||||||||
\(345\) | 0.712561 | − | 1.04571i | 0.0383630 | − | 0.0562991i | ||||
\(346\) | −1.87828 | −0.100977 | ||||||||
\(347\) | −22.1634 | −1.18979 | −0.594897 | − | 0.803802i | \(-0.702807\pi\) | ||||
−0.594897 | + | 0.803802i | \(0.702807\pi\) | |||||||
\(348\) | 3.10495 | − | 4.55663i | 0.166443 | − | 0.244261i | ||||
\(349\) | − | 4.57136i | − | 0.244700i | −0.992487 | − | 0.122350i | \(-0.960957\pi\) | ||
0.992487 | − | 0.122350i | \(-0.0390430\pi\) | |||||||
\(350\) | −12.4065 | −0.663156 | ||||||||
\(351\) | 18.9932 | + | 4.31979i | 1.01378 | + | 0.230573i | ||||
\(352\) | 1.50375 | 0.0801503 | ||||||||
\(353\) | 15.9218 | 0.847430 | 0.423715 | − | 0.905796i | \(-0.360726\pi\) | ||||
0.423715 | + | 0.905796i | \(0.360726\pi\) | |||||||
\(354\) | 11.5446 | + | 6.61229i | 0.613588 | + | 0.351439i | ||||
\(355\) | −1.01901 | −0.0540834 | ||||||||
\(356\) | −8.23497 | −0.436453 | ||||||||
\(357\) | −16.2075 | + | 23.7850i | −0.857790 | + | 1.25884i | ||||
\(358\) | 14.4415 | 0.763256 | ||||||||
\(359\) | 37.7987i | 1.99494i | 0.0710832 | + | 0.997470i | \(0.477354\pi\) | ||||
−0.0710832 | + | 0.997470i | \(0.522646\pi\) | |||||||
\(360\) | 0.278960 | − | 0.109648i | 0.0147025 | − | 0.00577896i | ||||
\(361\) | −3.07976 | −0.162093 | ||||||||
\(362\) | 19.5756 | 1.02887 | ||||||||
\(363\) | 12.5081 | + | 8.52318i | 0.656503 | + | 0.447351i | ||||
\(364\) | 9.31999i | 0.488500i | ||||||||
\(365\) | 1.13205 | 0.0592541 | ||||||||
\(366\) | −12.8928 | + | 18.9206i | −0.673916 | + | 0.988995i | ||||
\(367\) | 14.5489i | 0.759445i | 0.925100 | + | 0.379723i | \(0.123981\pi\) | ||||
−0.925100 | + | 0.379723i | \(0.876019\pi\) | |||||||
\(368\) | 7.31226 | 0.381178 | ||||||||
\(369\) | −11.1647 | + | 4.38841i | −0.581214 | + | 0.228452i | ||||
\(370\) | 0.0664441 | 0.00345427 | ||||||||
\(371\) | 0.621951i | 0.0322901i | ||||||||
\(372\) | −9.00751 | + | 13.2188i | −0.467017 | + | 0.685364i | ||||
\(373\) | 20.4733 | 1.06007 | 0.530033 | − | 0.847977i | \(-0.322179\pi\) | ||||
0.530033 | + | 0.847977i | \(0.322179\pi\) | |||||||
\(374\) | − | 10.0506i | − | 0.519703i | ||||||
\(375\) | 0.973502 | − | 1.42865i | 0.0502714 | − | 0.0737751i | ||||
\(376\) | −4.30475 | −0.222001 | ||||||||
\(377\) | −11.9336 | −0.614609 | ||||||||
\(378\) | −2.86511 | + | 12.5973i | −0.147365 | + | 0.647935i | ||||
\(379\) | −11.5722 | −0.594425 | −0.297213 | − | 0.954811i | \(-0.596057\pi\) | ||||
−0.297213 | + | 0.954811i | \(0.596057\pi\) | |||||||
\(380\) | 0.398650i | 0.0204503i | ||||||||
\(381\) | 1.55624 | + | 1.06045i | 0.0797287 | + | 0.0543283i | ||||
\(382\) | 2.00333 | 0.102499 | ||||||||
\(383\) | − | 10.0251i | − | 0.512256i | −0.966643 | − | 0.256128i | \(-0.917553\pi\) | ||
0.966643 | − | 0.256128i | \(-0.0824469\pi\) | |||||||
\(384\) | 1.43134 | + | 0.975334i | 0.0730426 | + | 0.0497723i | ||||
\(385\) | − | 0.373544i | − | 0.0190375i | ||||||
\(386\) | −6.79102 | −0.345654 | ||||||||
\(387\) | 28.0618 | − | 11.0300i | 1.42646 | − | 0.560685i | ||||
\(388\) | − | 3.83328i | − | 0.194605i | ||||||
\(389\) | − | 29.0531i | − | 1.47305i | −0.676410 | − | 0.736525i | \(-0.736465\pi\) | ||
0.676410 | − | 0.736525i | \(-0.263535\pi\) | |||||||
\(390\) | −0.536077 | − | 0.365291i | −0.0271453 | − | 0.0184972i | ||||
\(391\) | − | 48.8727i | − | 2.47160i | ||||||
\(392\) | 0.818487 | 0.0413398 | ||||||||
\(393\) | −2.96255 | − | 2.01872i | −0.149441 | − | 0.101831i | ||||
\(394\) | 3.36517i | 0.169535i | ||||||||
\(395\) | − | 0.912271i | − | 0.0459013i | ||||||
\(396\) | −1.65029 | − | 4.19857i | −0.0829302 | − | 0.210986i | ||||
\(397\) | − | 37.9877i | − | 1.90655i | −0.302109 | − | 0.953273i | \(-0.597691\pi\) | ||
0.302109 | − | 0.953273i | \(-0.402309\pi\) | |||||||
\(398\) | 12.2483 | 0.613951 | ||||||||
\(399\) | −14.1992 | − | 9.67555i | −0.710849 | − | 0.484383i | ||||
\(400\) | 4.99002 | 0.249501 | ||||||||
\(401\) | 5.22747 | 0.261047 | 0.130524 | − | 0.991445i | \(-0.458334\pi\) | ||||
0.130524 | + | 0.991445i | \(0.458334\pi\) | |||||||
\(402\) | −6.89277 | + | 10.1154i | −0.343780 | + | 0.504509i | ||||
\(403\) | 34.6194 | 1.72451 | ||||||||
\(404\) | −9.73873 | −0.484520 | ||||||||
\(405\) | −0.612289 | − | 0.658541i | −0.0304249 | − | 0.0327232i | ||||
\(406\) | − | 7.91497i | − | 0.392813i | ||||||
\(407\) | − | 1.00004i | − | 0.0495699i | ||||||
\(408\) | 6.51880 | − | 9.56657i | 0.322729 | − | 0.473616i | ||||
\(409\) | 19.5017i | 0.964296i | 0.876090 | + | 0.482148i | \(0.160143\pi\) | ||||
−0.876090 | + | 0.482148i | \(0.839857\pi\) | |||||||
\(410\) | 0.399523 | 0.0197310 | ||||||||
\(411\) | 3.18755 | − | 4.67784i | 0.157230 | − | 0.230741i | ||||
\(412\) | − | 1.88836i | − | 0.0930330i | ||||||
\(413\) | 19.0393 | − | 1.48797i | 0.936863 | − | 0.0732180i | ||||
\(414\) | −8.02482 | − | 20.4163i | −0.394398 | − | 1.00341i | ||||
\(415\) | 0.542919i | 0.0266509i | ||||||||
\(416\) | − | 3.74859i | − | 0.183790i | ||||||
\(417\) | −23.2592 | − | 15.8492i | −1.13901 | − | 0.776137i | ||||
\(418\) | 6.00000 | 0.293470 | ||||||||
\(419\) | 28.2270 | 1.37898 | 0.689490 | − | 0.724295i | \(-0.257835\pi\) | ||||
0.689490 | + | 0.724295i | \(0.257835\pi\) | |||||||
\(420\) | 0.242280 | − | 0.355555i | 0.0118221 | − | 0.0173493i | ||||
\(421\) | − | 12.3690i | − | 0.602830i | −0.953493 | − | 0.301415i | \(-0.902541\pi\) | ||
0.953493 | − | 0.301415i | \(-0.0974589\pi\) | |||||||
\(422\) | − | 2.12329i | − | 0.103360i | ||||||
\(423\) | 4.72424 | + | 12.0191i | 0.229700 | + | 0.584390i | ||||
\(424\) | − | 0.250155i | − | 0.0121486i | ||||||
\(425\) | − | 33.3516i | − | 1.61779i | ||||||
\(426\) | −9.94750 | + | 14.5983i | −0.481958 | + | 0.707290i | ||||
\(427\) | 32.8655i | 1.59047i | ||||||||
\(428\) | 1.98828i | 0.0961069i | ||||||||
\(429\) | −5.49791 | + | 8.06838i | −0.265442 | + | 0.389545i | ||||
\(430\) | −1.00417 | −0.0484255 | ||||||||
\(431\) | −15.4958 | −0.746406 | −0.373203 | − | 0.927750i | \(-0.621741\pi\) | ||||
−0.373203 | + | 0.927750i | \(0.621741\pi\) | |||||||
\(432\) | 1.15238 | − | 5.06676i | 0.0554437 | − | 0.243774i | ||||
\(433\) | 24.9628 | 1.19963 | 0.599817 | − | 0.800137i | \(-0.295240\pi\) | ||||
0.599817 | + | 0.800137i | \(0.295240\pi\) | |||||||
\(434\) | 22.9614i | 1.10218i | ||||||||
\(435\) | 0.455261 | + | 0.310222i | 0.0218281 | + | 0.0148740i | ||||
\(436\) | 9.53579i | 0.456682i | ||||||||
\(437\) | 29.1760 | 1.39568 | ||||||||
\(438\) | 11.0510 | − | 16.2177i | 0.528036 | − | 0.774912i | ||||
\(439\) | 40.6897 | 1.94201 | 0.971006 | − | 0.239055i | \(-0.0768376\pi\) | ||||
0.971006 | + | 0.239055i | \(0.0768376\pi\) | |||||||
\(440\) | 0.150243i | 0.00716255i | ||||||||
\(441\) | −0.898247 | − | 2.28527i | −0.0427737 | − | 0.108822i | ||||
\(442\) | −25.0543 | −1.19171 | ||||||||
\(443\) | −32.3516 | −1.53707 | −0.768535 | − | 0.639808i | \(-0.779014\pi\) | ||||
−0.768535 | + | 0.639808i | \(0.779014\pi\) | |||||||
\(444\) | 0.648623 | − | 0.951877i | 0.0307823 | − | 0.0451741i | ||||
\(445\) | − | 0.822772i | − | 0.0390032i | ||||||
\(446\) | −5.17553 | −0.245068 | ||||||||
\(447\) | −6.34054 | − | 4.32054i | −0.299897 | − | 0.204354i | ||||
\(448\) | 2.48626 | 0.117465 | ||||||||
\(449\) | 29.6661i | 1.40003i | 0.714129 | + | 0.700014i | \(0.246823\pi\) | ||||
−0.714129 | + | 0.700014i | \(0.753177\pi\) | |||||||
\(450\) | −5.47628 | − | 13.9324i | −0.258154 | − | 0.656781i | ||||
\(451\) | − | 6.01313i | − | 0.283147i | ||||||
\(452\) | 13.6203 | 0.640647 | ||||||||
\(453\) | −12.3081 | + | 18.0625i | −0.578284 | + | 0.848652i | ||||
\(454\) | 29.3591 | 1.37789 | ||||||||
\(455\) | −0.931179 | −0.0436543 | ||||||||
\(456\) | 5.71106 | + | 3.89160i | 0.267445 | + | 0.182241i | ||||
\(457\) | − | 15.2368i | − | 0.712747i | −0.934343 | − | 0.356374i | \(-0.884013\pi\) | ||
0.934343 | − | 0.356374i | \(-0.115987\pi\) | |||||||
\(458\) | 7.00153i | 0.327160i | ||||||||
\(459\) | −33.8645 | − | 7.70209i | −1.58066 | − | 0.359503i | ||||
\(460\) | 0.730582i | 0.0340636i | ||||||||
\(461\) | − | 19.8024i | − | 0.922290i | −0.887325 | − | 0.461145i | \(-0.847439\pi\) | ||
0.887325 | − | 0.461145i | \(-0.152561\pi\) | |||||||
\(462\) | −5.35138 | − | 3.64651i | −0.248969 | − | 0.169651i | ||||
\(463\) | 22.7494i | 1.05725i | 0.848854 | + | 0.528627i | \(0.177293\pi\) | ||||
−0.848854 | + | 0.528627i | \(0.822707\pi\) | |||||||
\(464\) | 3.18348i | 0.147789i | ||||||||
\(465\) | −1.32072 | − | 0.899957i | −0.0612469 | − | 0.0417345i | ||||
\(466\) | 24.8628 | 1.15175 | ||||||||
\(467\) | −10.9522 | −0.506809 | −0.253404 | − | 0.967360i | \(-0.581550\pi\) | ||||
−0.253404 | + | 0.967360i | \(0.581550\pi\) | |||||||
\(468\) | −10.4663 | + | 4.11388i | −0.483805 | + | 0.190164i | ||||
\(469\) | 17.5707i | 0.811337i | ||||||||
\(470\) | − | 0.430096i | − | 0.0198389i | ||||||
\(471\) | 15.0225 | − | 22.0461i | 0.692201 | − | 1.01583i | ||||
\(472\) | −7.65780 | + | 0.598474i | −0.352479 | + | 0.0275470i | ||||
\(473\) | 15.1136i | 0.694923i | ||||||||
\(474\) | −13.0692 | − | 8.90552i | −0.600287 | − | 0.409044i | ||||
\(475\) | 19.9103 | 0.913545 | ||||||||
\(476\) | − | 16.6174i | − | 0.761655i | ||||||
\(477\) | −0.698448 | + | 0.274532i | −0.0319797 | + | 0.0125699i | ||||
\(478\) | 3.43288i | 0.157016i | ||||||||
\(479\) | − | 29.5038i | − | 1.34806i | −0.738702 | − | 0.674032i | \(-0.764561\pi\) | ||
0.738702 | − | 0.674032i | \(-0.235439\pi\) | |||||||
\(480\) | −0.0974475 | + | 0.143008i | −0.00444785 | + | 0.00652737i | ||||
\(481\) | −2.49291 | −0.113667 | ||||||||
\(482\) | −8.12675 | −0.370163 | ||||||||
\(483\) | −26.0220 | − | 17.7318i | −1.18404 | − | 0.806824i | ||||
\(484\) | −8.73873 | −0.397215 | ||||||||
\(485\) | 0.382990 | 0.0173907 | ||||||||
\(486\) | −15.4114 | + | 2.34300i | −0.699074 | + | 0.106280i | ||||
\(487\) | 14.4863 | 0.656435 | 0.328218 | − | 0.944602i | \(-0.393552\pi\) | ||||
0.328218 | + | 0.944602i | \(0.393552\pi\) | |||||||
\(488\) | − | 13.2188i | − | 0.598388i | ||||||
\(489\) | 16.0965 | + | 10.9684i | 0.727911 | + | 0.496009i | ||||
\(490\) | 0.0817767i | 0.00369429i | ||||||||
\(491\) | − | 18.1129i | − | 0.817423i | −0.912664 | − | 0.408711i | \(-0.865978\pi\) | ||
0.912664 | − | 0.408711i | \(-0.134022\pi\) | |||||||
\(492\) | 3.90011 | − | 5.72355i | 0.175831 | − | 0.258038i | ||||
\(493\) | 21.2773 | 0.958281 | ||||||||
\(494\) | − | 14.9569i | − | 0.672945i | ||||||
\(495\) | 0.419487 | − | 0.164884i | 0.0188546 | − | 0.00741097i | ||||
\(496\) | − | 9.23530i | − | 0.414677i | ||||||
\(497\) | 25.3576i | 1.13744i | ||||||||
\(498\) | 7.77785 | + | 5.29994i | 0.348534 | + | 0.237496i | ||||
\(499\) | 21.6305 | 0.968314 | 0.484157 | − | 0.874981i | \(-0.339126\pi\) | ||||
0.484157 | + | 0.874981i | \(0.339126\pi\) | |||||||
\(500\) | 0.998122i | 0.0446374i | ||||||||
\(501\) | 7.26317 | − | 10.6590i | 0.324494 | − | 0.476207i | ||||
\(502\) | 19.2860i | 0.860778i | ||||||||
\(503\) | 34.7181 | 1.54801 | 0.774003 | − | 0.633182i | \(-0.218252\pi\) | ||||
0.774003 | + | 0.633182i | \(0.218252\pi\) | |||||||
\(504\) | −2.72855 | − | 6.94181i | −0.121539 | − | 0.309213i | ||||
\(505\) | − | 0.973015i | − | 0.0432986i | ||||||
\(506\) | 10.9958 | 0.488824 | ||||||||
\(507\) | 1.50568 | + | 1.02599i | 0.0668697 | + | 0.0455660i | ||||
\(508\) | −1.08727 | −0.0482396 | ||||||||
\(509\) | 40.8081 | 1.80879 | 0.904393 | − | 0.426701i | \(-0.140324\pi\) | ||||
0.904393 | + | 0.426701i | \(0.140324\pi\) | |||||||
\(510\) | 0.955814 | + | 0.651306i | 0.0423242 | + | 0.0288403i | ||||
\(511\) | − | 28.1705i | − | 1.24619i | ||||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 4.59800 | − | 20.2165i | 0.203007 | − | 0.892578i | ||||
\(514\) | 31.2661i | 1.37909i | ||||||||
\(515\) | 0.188670 | 0.00831380 | ||||||||
\(516\) | −9.80267 | + | 14.3858i | −0.431538 | + | 0.633297i | ||||
\(517\) | −6.47328 | −0.284695 | ||||||||
\(518\) | − | 1.65343i | − | 0.0726477i | ||||||
\(519\) | −2.68845 | − | 1.83195i | −0.118010 | − | 0.0804138i | ||||
\(520\) | 0.374529 | 0.0164242 | ||||||||
\(521\) | − | 19.7972i | − | 0.867330i | −0.901074 | − | 0.433665i | \(-0.857220\pi\) | ||
0.901074 | − | 0.433665i | \(-0.142780\pi\) | |||||||
\(522\) | 8.88846 | − | 3.49370i | 0.389038 | − | 0.152915i | ||||
\(523\) | −28.8761 | −1.26267 | −0.631333 | − | 0.775512i | \(-0.717492\pi\) | ||||
−0.631333 | + | 0.775512i | \(0.717492\pi\) | |||||||
\(524\) | 2.06978 | 0.0904186 | ||||||||
\(525\) | −17.7579 | − | 12.1005i | −0.775018 | − | 0.528108i | ||||
\(526\) | 21.5816i | 0.941003i | ||||||||
\(527\) | −61.7256 | −2.68881 | ||||||||
\(528\) | 2.15238 | + | 1.46666i | 0.0936701 | + | 0.0638282i | ||||
\(529\) | 30.4691 | 1.32474 | ||||||||
\(530\) | 0.0249935 | 0.00108565 | ||||||||
\(531\) | 10.0750 | + | 20.7242i | 0.437218 | + | 0.899356i | ||||
\(532\) | 9.92024 | 0.430097 | ||||||||
\(533\) | −14.9897 | −0.649275 | ||||||||
\(534\) | −11.7870 | − | 8.03185i | −0.510074 | − | 0.347572i | ||||
\(535\) | −0.198652 | −0.00858850 | ||||||||
\(536\) | − | 7.06709i | − | 0.305252i | ||||||
\(537\) | 20.6706 | + | 14.0853i | 0.892003 | + | 0.607824i | ||||
\(538\) | −1.12922 | −0.0486843 | ||||||||
\(539\) | 1.23080 | 0.0530144 | ||||||||
\(540\) | 0.506230 | + | 0.115136i | 0.0217847 | + | 0.00495467i | ||||
\(541\) | 8.25440i | 0.354884i | 0.984131 | + | 0.177442i | \(0.0567823\pi\) | ||||
−0.984131 | + | 0.177442i | \(0.943218\pi\) | |||||||
\(542\) | 1.65329 | 0.0710149 | ||||||||
\(543\) | 28.0192 | + | 19.0927i | 1.20242 | + | 0.819346i | ||||
\(544\) | 6.68366i | 0.286560i | ||||||||
\(545\) | −0.952739 | −0.0408109 | ||||||||
\(546\) | −9.09010 | + | 13.3400i | −0.389021 | + | 0.570901i | ||||
\(547\) | −11.9184 | −0.509595 | −0.254798 | − | 0.966994i | \(-0.582009\pi\) | ||||
−0.254798 | + | 0.966994i | \(0.582009\pi\) | |||||||
\(548\) | 3.26816i | 0.139609i | ||||||||
\(549\) | −36.9078 | + | 14.5070i | −1.57519 | + | 0.619142i | ||||
\(550\) | 7.50375 | 0.319961 | ||||||||
\(551\) | 12.7021i | 0.541129i | ||||||||
\(552\) | 10.4663 | + | 7.13189i | 0.445475 | + | 0.303554i | ||||
\(553\) | −22.7014 | −0.965364 | ||||||||
\(554\) | −2.31824 | −0.0984927 | ||||||||
\(555\) | 0.0951039 | + | 0.0648052i | 0.00403694 | + | 0.00275083i | ||||
\(556\) | 16.2500 | 0.689153 | ||||||||
\(557\) | − | 39.6450i | − | 1.67981i | −0.542731 | − | 0.839907i | \(-0.682610\pi\) | ||
0.542731 | − | 0.839907i | \(-0.317390\pi\) | |||||||
\(558\) | −25.7855 | + | 10.1353i | −1.09159 | + | 0.429060i | ||||
\(559\) | 37.6755 | 1.59350 | ||||||||
\(560\) | 0.248408i | 0.0104971i | ||||||||
\(561\) | 9.80267 | − | 14.3858i | 0.413869 | − | 0.607367i | ||||
\(562\) | − | 23.6300i | − | 0.996773i | ||||||
\(563\) | −13.2738 | −0.559423 | −0.279711 | − | 0.960084i | \(-0.590239\pi\) | ||||
−0.279711 | + | 0.960084i | \(0.590239\pi\) | |||||||
\(564\) | −6.16155 | − | 4.19857i | −0.259448 | − | 0.176792i | ||||
\(565\) | 1.36084i | 0.0572508i | ||||||||
\(566\) | 23.8843i | 1.00393i | ||||||||
\(567\) | −16.3875 | + | 15.2365i | −0.688211 | + | 0.639874i | ||||
\(568\) | − | 10.1991i | − | 0.427943i | ||||||
\(569\) | −36.7964 | −1.54258 | −0.771292 | − | 0.636481i | \(-0.780389\pi\) | ||||
−0.771292 | + | 0.636481i | \(0.780389\pi\) | |||||||
\(570\) | −0.388817 | + | 0.570603i | −0.0162858 | + | 0.0238999i | ||||
\(571\) | 35.3960i | 1.48128i | 0.671904 | + | 0.740638i | \(0.265477\pi\) | ||||
−0.671904 | + | 0.740638i | \(0.734523\pi\) | |||||||
\(572\) | − | 5.63696i | − | 0.235693i | ||||||
\(573\) | 2.86744 | + | 1.95392i | 0.119789 | + | 0.0816261i | ||||
\(574\) | − | 9.94194i | − | 0.414969i | ||||||
\(575\) | 36.4883 | 1.52167 | ||||||||
\(576\) | 1.09745 | + | 2.79206i | 0.0457270 | + | 0.116336i | ||||
\(577\) | −6.36488 | −0.264973 | −0.132487 | − | 0.991185i | \(-0.542296\pi\) | ||||
−0.132487 | + | 0.991185i | \(0.542296\pi\) | |||||||
\(578\) | 27.6713 | 1.15098 | ||||||||
\(579\) | −9.72023 | − | 6.62351i | −0.403959 | − | 0.275264i | ||||
\(580\) | −0.318067 | −0.0132070 | ||||||||
\(581\) | 13.5103 | 0.560502 | ||||||||
\(582\) | 3.73873 | − | 5.48671i | 0.154975 | − | 0.227432i | ||||
\(583\) | − | 0.376171i | − | 0.0155794i | ||||||
\(584\) | 11.3305i | 0.468858i | ||||||||
\(585\) | −0.411026 | − | 1.04571i | −0.0169938 | − | 0.0432347i | ||||
\(586\) | 6.61014i | 0.273062i | ||||||||
\(587\) | −33.9804 | −1.40252 | −0.701260 | − | 0.712906i | \(-0.747379\pi\) | ||||
−0.701260 | + | 0.712906i | \(0.747379\pi\) | |||||||
\(588\) | 1.17153 | + | 0.798298i | 0.0483131 | + | 0.0329213i | ||||
\(589\) | − | 36.8490i | − | 1.51834i | ||||||
\(590\) | −0.0597947 | − | 0.765105i | −0.00246171 | − | 0.0314989i | ||||
\(591\) | −3.28216 | + | 4.81668i | −0.135010 | + | 0.198132i | ||||
\(592\) | 0.665027i | 0.0273324i | ||||||||
\(593\) | 18.0122i | 0.739673i | 0.929097 | + | 0.369836i | \(0.120586\pi\) | ||||
−0.929097 | + | 0.369836i | \(0.879414\pi\) | |||||||
\(594\) | 1.73289 | − | 7.61915i | 0.0711013 | − | 0.312618i | ||||
\(595\) | 1.66027 | 0.0680645 | ||||||||
\(596\) | 4.42980 | 0.181452 | ||||||||
\(597\) | 17.5314 | + | 11.9462i | 0.717513 | + | 0.488924i | ||||
\(598\) | − | 27.4107i | − | 1.12091i | ||||||
\(599\) | − | 8.90046i | − | 0.363663i | −0.983330 | − | 0.181832i | \(-0.941797\pi\) | ||
0.983330 | − | 0.181832i | \(-0.0582025\pi\) | |||||||
\(600\) | 7.14239 | + | 4.86693i | 0.291587 | + | 0.198692i | ||||
\(601\) | 23.4646i | 0.957140i | 0.878050 | + | 0.478570i | \(0.158845\pi\) | ||||
−0.878050 | + | 0.478570i | \(0.841155\pi\) | |||||||
\(602\) | 24.9884i | 1.01845i | ||||||||
\(603\) | −19.7317 | + | 7.75576i | −0.803539 | + | 0.315839i | ||||
\(604\) | − | 12.6194i | − | 0.513474i | ||||||
\(605\) | − | 0.873103i | − | 0.0354967i | ||||||
\(606\) | −13.9394 | − | 9.49851i | −0.566249 | − | 0.385851i | ||||
\(607\) | −32.2918 | −1.31068 | −0.655341 | − | 0.755333i | \(-0.727475\pi\) | ||||
−0.655341 | + | 0.755333i | \(0.727475\pi\) | |||||||
\(608\) | −3.99002 | −0.161817 | ||||||||
\(609\) | 7.71974 | − | 11.3290i | 0.312819 | − | 0.459073i | ||||
\(610\) | 1.32072 | 0.0534743 | ||||||||
\(611\) | 16.1368i | 0.652823i | ||||||||
\(612\) | 18.6612 | − | 7.33497i | 0.754334 | − | 0.296498i | ||||
\(613\) | 13.0996i | 0.529088i | 0.964374 | + | 0.264544i | \(0.0852215\pi\) | ||||
−0.964374 | + | 0.264544i | \(0.914778\pi\) | |||||||
\(614\) | 27.6453 | 1.11567 | ||||||||
\(615\) | 0.571851 | + | 0.389668i | 0.0230593 | + | 0.0157129i | ||||
\(616\) | 3.73873 | 0.150638 | ||||||||
\(617\) | 24.6994i | 0.994359i | 0.867648 | + | 0.497180i | \(0.165631\pi\) | ||||
−0.867648 | + | 0.497180i | \(0.834369\pi\) | |||||||
\(618\) | 1.84178 | − | 2.70288i | 0.0740875 | − | 0.108726i | ||||
\(619\) | 14.6113 | 0.587278 | 0.293639 | − | 0.955916i | \(-0.405134\pi\) | ||||
0.293639 | + | 0.955916i | \(0.405134\pi\) | |||||||
\(620\) | 0.922717 | 0.0370572 | ||||||||
\(621\) | 8.42647 | − | 37.0494i | 0.338143 | − | 1.48674i | ||||
\(622\) | − | 23.5349i | − | 0.943665i | ||||||
\(623\) | −20.4743 | −0.820287 | ||||||||
\(624\) | 3.65613 | − | 5.36550i | 0.146362 | − | 0.214792i | ||||
\(625\) | 24.8504 | 0.994015 | ||||||||
\(626\) | − | 26.8677i | − | 1.07385i | ||||||
\(627\) | 8.58802 | + | 5.85200i | 0.342972 | + | 0.233707i | ||||
\(628\) | 15.4024i | 0.614624i | ||||||||
\(629\) | 4.44481 | 0.177226 | ||||||||
\(630\) | 0.693569 | − | 0.272614i | 0.0276325 | − | 0.0108612i | ||||
\(631\) | −22.1980 | −0.883690 | −0.441845 | − | 0.897091i | \(-0.645676\pi\) | ||||
−0.441845 | + | 0.897091i | \(0.645676\pi\) | |||||||
\(632\) | 9.13074 | 0.363202 | ||||||||
\(633\) | 2.07092 | − | 3.03915i | 0.0823117 | − | 0.120795i | ||||
\(634\) | − | 32.1230i | − | 1.27577i | ||||||
\(635\) | − | 0.108631i | − | 0.00431088i | ||||||
\(636\) | 0.243984 | − | 0.358056i | 0.00967461 | − | 0.0141978i | ||||
\(637\) | − | 3.06817i | − | 0.121565i | ||||||
\(638\) | 4.78716i | 0.189526i | ||||||||
\(639\) | −28.4764 | + | 11.1929i | −1.12651 | + | 0.442786i | ||||
\(640\) | − | 0.0999120i | − | 0.00394937i | ||||||
\(641\) | 7.03082i | 0.277701i | 0.990313 | + | 0.138850i | \(0.0443407\pi\) | ||||
−0.990313 | + | 0.138850i | \(0.955659\pi\) | |||||||
\(642\) | −1.93923 | + | 2.84589i | −0.0765354 | + | 0.112318i | ||||
\(643\) | 16.0565 | 0.633205 | 0.316603 | − | 0.948558i | \(-0.397458\pi\) | ||||
0.316603 | + | 0.948558i | \(0.397458\pi\) | |||||||
\(644\) | 18.1802 | 0.716401 | ||||||||
\(645\) | −1.43731 | − | 0.979404i | −0.0565940 | − | 0.0385640i | ||||
\(646\) | 26.6679i | 1.04924i | ||||||||
\(647\) | − | 22.9346i | − | 0.901651i | −0.892612 | − | 0.450825i | \(-0.851130\pi\) | ||
0.892612 | − | 0.450825i | \(-0.148870\pi\) | |||||||
\(648\) | 6.59122 | − | 6.12828i | 0.258927 | − | 0.240742i | ||||
\(649\) | −11.5154 | + | 0.899957i | −0.452020 | + | 0.0353264i | ||||
\(650\) | − | 18.7055i | − | 0.733692i | ||||||
\(651\) | −22.3950 | + | 32.8655i | −0.877731 | + | 1.28810i | ||||
\(652\) | −11.2458 | −0.440420 | ||||||||
\(653\) | 32.5353i | 1.27321i | 0.771192 | + | 0.636603i | \(0.219661\pi\) | ||||
−0.771192 | + | 0.636603i | \(0.780339\pi\) | |||||||
\(654\) | −9.30058 | + | 13.6489i | −0.363681 | + | 0.533715i | ||||
\(655\) | 0.206795i | 0.00808017i | ||||||||
\(656\) | 3.99875i | 0.156125i | ||||||||
\(657\) | 31.6354 | − | 12.4346i | 1.23421 | − | 0.485120i | ||||
\(658\) | −10.7028 | −0.417237 | ||||||||
\(659\) | −20.1685 | −0.785654 | −0.392827 | − | 0.919612i | \(-0.628503\pi\) | ||||
−0.392827 | + | 0.919612i | \(0.628503\pi\) | |||||||
\(660\) | −0.146537 | + | 0.215048i | −0.00570394 | + | 0.00837074i | ||||
\(661\) | 1.93525 | 0.0752726 | 0.0376363 | − | 0.999292i | \(-0.488017\pi\) | ||||
0.0376363 | + | 0.999292i | \(0.488017\pi\) | |||||||
\(662\) | 19.7922 | 0.769245 | ||||||||
\(663\) | −35.8612 | − | 24.4363i | −1.39273 | − | 0.949028i | ||||
\(664\) | −5.43398 | −0.210879 | ||||||||
\(665\) | 0.991151i | 0.0384352i | ||||||||
\(666\) | 1.85680 | − | 0.729832i | 0.0719494 | − | 0.0282804i | ||||
\(667\) | 23.2784i | 0.901343i | ||||||||
\(668\) | 7.44685i | 0.288127i | ||||||||
\(669\) | −7.40792 | − | 5.04787i | −0.286407 | − | 0.195162i | ||||
\(670\) | 0.706087 | 0.0272785 | ||||||||
\(671\) | − | 19.8778i | − | 0.767376i | ||||||
\(672\) | 3.55868 | + | 2.42494i | 0.137279 | + | 0.0935440i | ||||
\(673\) | − | 16.8416i | − | 0.649195i | −0.945852 | − | 0.324597i | \(-0.894771\pi\) | ||
0.945852 | − | 0.324597i | \(-0.105229\pi\) | |||||||
\(674\) | − | 13.2034i | − | 0.508577i | ||||||
\(675\) | 5.75038 | − | 25.2832i | 0.221332 | − | 0.973151i | ||||
\(676\) | −1.05194 | −0.0404593 | ||||||||
\(677\) | 30.0998i | 1.15683i | 0.815743 | + | 0.578415i | \(0.196328\pi\) | ||||
−0.815743 | + | 0.578415i | \(0.803672\pi\) | |||||||
\(678\) | 19.4953 | + | 13.2844i | 0.748712 | + | 0.510184i | ||||
\(679\) | − | 9.53055i | − | 0.365749i | ||||||
\(680\) | −0.667778 | −0.0256081 | ||||||||
\(681\) | 42.0227 | + | 28.6349i | 1.61031 | + | 1.09729i | ||||
\(682\) | − | 13.8876i | − | 0.531784i | ||||||
\(683\) | 20.1948 | 0.772734 | 0.386367 | − | 0.922345i | \(-0.373730\pi\) | ||||
0.386367 | + | 0.922345i | \(0.373730\pi\) | |||||||
\(684\) | 4.37883 | + | 11.1404i | 0.167429 | + | 0.425963i | ||||
\(685\) | −0.326529 | −0.0124760 | ||||||||
\(686\) | 19.4388 | 0.742178 | ||||||||
\(687\) | −6.82883 | + | 10.0215i | −0.260536 | + | 0.382346i | ||||
\(688\) | − | 10.0506i | − | 0.383175i | ||||||
\(689\) | −0.937728 | −0.0357246 | ||||||||
\(690\) | −0.712561 | + | 1.04571i | −0.0271267 | + | 0.0398094i | ||||
\(691\) | 33.9577i | 1.29181i | 0.763417 | + | 0.645906i | \(0.223520\pi\) | ||||
−0.763417 | + | 0.645906i | \(0.776480\pi\) | |||||||
\(692\) | 1.87828 | 0.0714016 | ||||||||
\(693\) | −4.10306 | − | 10.4388i | −0.155862 | − | 0.396536i | ||||
\(694\) | 22.1634 | 0.841311 | ||||||||
\(695\) | 1.62357i | 0.0615854i | ||||||||
\(696\) | −3.10495 | + | 4.55663i | −0.117693 | + | 0.172718i | ||||
\(697\) | 26.7263 | 1.01233 | ||||||||
\(698\) | 4.57136i | 0.173029i | ||||||||
\(699\) | 35.5871 | + | 24.2496i | 1.34603 | + | 0.917202i | ||||
\(700\) | 12.4065 | 0.468922 | ||||||||
\(701\) | −3.59083 | −0.135624 | −0.0678119 | − | 0.997698i | \(-0.521602\pi\) | ||||
−0.0678119 | + | 0.997698i | \(0.521602\pi\) | |||||||
\(702\) | −18.9932 | − | 4.31979i | −0.716852 | − | 0.163040i | ||||
\(703\) | 2.65347i | 0.100077i | ||||||||
\(704\) | −1.50375 | −0.0566748 | ||||||||
\(705\) | 0.419487 | − | 0.615612i | 0.0157988 | − | 0.0231853i | ||||
\(706\) | −15.9218 | −0.599223 | ||||||||
\(707\) | −24.2131 | −0.910626 | ||||||||
\(708\) | −11.5446 | − | 6.61229i | −0.433872 | − | 0.248505i | ||||
\(709\) | 11.3787 | 0.427337 | 0.213668 | − | 0.976906i | \(-0.431459\pi\) | ||||
0.213668 | + | 0.976906i | \(0.431459\pi\) | |||||||
\(710\) | 1.01901 | 0.0382427 | ||||||||
\(711\) | −10.0205 | − | 25.4936i | −0.375799 | − | 0.956085i | ||||
\(712\) | 8.23497 | 0.308619 | ||||||||
\(713\) | − | 67.5309i | − | 2.52905i | ||||||
\(714\) | 16.2075 | − | 23.7850i | 0.606549 | − | 0.890132i | ||||
\(715\) | 0.563199 | 0.0210625 | ||||||||
\(716\) | −14.4415 | −0.539703 | ||||||||
\(717\) | −3.34821 | + | 4.91361i | −0.125041 | + | 0.183502i | ||||
\(718\) | − | 37.7987i | − | 1.41064i | ||||||
\(719\) | 6.27578 | 0.234047 | 0.117023 | − | 0.993129i | \(-0.462665\pi\) | ||||
0.117023 | + | 0.993129i | \(0.462665\pi\) | |||||||
\(720\) | −0.278960 | + | 0.109648i | −0.0103962 | + | 0.00408634i | ||||
\(721\) | − | 4.69497i | − | 0.174850i | ||||||
\(722\) | 3.07976 | 0.114617 | ||||||||
\(723\) | −11.6321 | − | 7.92629i | −0.432603 | − | 0.294782i | ||||
\(724\) | −19.5756 | −0.727520 | ||||||||
\(725\) | 15.8856i | 0.589977i | ||||||||
\(726\) | −12.5081 | − | 8.52318i | −0.464218 | − | 0.316325i | ||||
\(727\) | 10.8245 | 0.401457 | 0.200729 | − | 0.979647i | \(-0.435669\pi\) | ||||
0.200729 | + | 0.979647i | \(0.435669\pi\) | |||||||
\(728\) | − | 9.31999i | − | 0.345422i | ||||||
\(729\) | −24.3441 | − | 11.6776i | −0.901632 | − | 0.432504i | ||||
\(730\) | −1.13205 | −0.0418990 | ||||||||
\(731\) | −67.1746 | −2.48454 | ||||||||
\(732\) | 12.8928 | − | 18.9206i | 0.476530 | − | 0.699325i | ||||
\(733\) | −17.4775 | −0.645545 | −0.322772 | − | 0.946477i | \(-0.604615\pi\) | ||||
−0.322772 | + | 0.946477i | \(0.604615\pi\) | |||||||
\(734\) | − | 14.5489i | − | 0.537009i | ||||||
\(735\) | −0.0797595 | + | 0.117050i | −0.00294198 | + | 0.00431745i | ||||
\(736\) | −7.31226 | −0.269533 | ||||||||
\(737\) | − | 10.6272i | − | 0.391456i | ||||||
\(738\) | 11.1647 | − | 4.38841i | 0.410980 | − | 0.161540i | ||||
\(739\) | 16.8480i | 0.619762i | 0.950775 | + | 0.309881i | \(0.100289\pi\) | ||||
−0.950775 | + | 0.309881i | \(0.899711\pi\) | |||||||
\(740\) | −0.0664441 | −0.00244253 | ||||||||
\(741\) | 14.5880 | − | 21.4084i | 0.535904 | − | 0.786458i | ||||
\(742\) | − | 0.621951i | − | 0.0228325i | ||||||
\(743\) | − | 19.6522i | − | 0.720968i | −0.932765 | − | 0.360484i | \(-0.882612\pi\) | ||
0.932765 | − | 0.360484i | \(-0.117388\pi\) | |||||||
\(744\) | 9.00751 | − | 13.2188i | 0.330231 | − | 0.484626i | ||||
\(745\) | 0.442590i | 0.0162153i | ||||||||
\(746\) | −20.4733 | −0.749580 | ||||||||
\(747\) | 5.96350 | + | 15.1720i | 0.218193 | + | 0.555114i | ||||
\(748\) | 10.0506i | 0.367485i | ||||||||
\(749\) | 4.94338i | 0.180627i | ||||||||
\(750\) | −0.973502 | + | 1.42865i | −0.0355473 | + | 0.0521669i | ||||
\(751\) | 24.7561i | 0.903362i | 0.892179 | + | 0.451681i | \(0.149176\pi\) | ||||
−0.892179 | + | 0.451681i | \(0.850824\pi\) | |||||||
\(752\) | 4.30475 | 0.156978 | ||||||||
\(753\) | −18.8103 | + | 27.6048i | −0.685487 | + | 1.00598i | ||||
\(754\) | 11.9336 | 0.434594 | ||||||||
\(755\) | 1.26082 | 0.0458861 | ||||||||
\(756\) | 2.86511 | − | 12.5973i | 0.104203 | − | 0.458159i | ||||
\(757\) | −37.6335 | −1.36781 | −0.683907 | − | 0.729569i | \(-0.739721\pi\) | ||||
−0.683907 | + | 0.729569i | \(0.739721\pi\) | |||||||
\(758\) | 11.5722 | 0.420322 | ||||||||
\(759\) | 15.7387 | + | 10.7246i | 0.571280 | + | 0.389278i | ||||
\(760\) | − | 0.398650i | − | 0.0144606i | ||||||
\(761\) | 0.789332i | 0.0286133i | 0.999898 | + | 0.0143066i | \(0.00455410\pi\) | ||||
−0.999898 | + | 0.0143066i | \(0.995446\pi\) | |||||||
\(762\) | −1.55624 | − | 1.06045i | −0.0563767 | − | 0.0384159i | ||||
\(763\) | 23.7085i | 0.858305i | ||||||||
\(764\) | −2.00333 | −0.0724780 | ||||||||
\(765\) | 0.732851 | + | 1.86448i | 0.0264963 | + | 0.0674103i | ||||
\(766\) | 10.0251i | 0.362220i | ||||||||
\(767\) | 2.24344 | + | 28.7059i | 0.0810058 | + | 1.03651i | ||||
\(768\) | −1.43134 | − | 0.975334i | −0.0516489 | − | 0.0351943i | ||||
\(769\) | 16.3975i | 0.591308i | 0.955295 | + | 0.295654i | \(0.0955376\pi\) | ||||
−0.955295 | + | 0.295654i | \(0.904462\pi\) | |||||||
\(770\) | 0.373544i | 0.0134616i | ||||||||
\(771\) | −30.4949 | + | 44.7524i | −1.09825 | + | 1.61172i | ||||
\(772\) | 6.79102 | 0.244414 | ||||||||
\(773\) | 23.4991 | 0.845205 | 0.422603 | − | 0.906315i | \(-0.361117\pi\) | ||||
0.422603 | + | 0.906315i | \(0.361117\pi\) | |||||||
\(774\) | −28.0618 | + | 11.0300i | −1.00866 | + | 0.396464i | ||||
\(775\) | − | 46.0843i | − | 1.65540i | ||||||
\(776\) | 3.83328i | 0.137607i | ||||||||
\(777\) | 1.61265 | − | 2.36662i | 0.0578535 | − | 0.0849020i | ||||
\(778\) | 29.0531i | 1.04160i | ||||||||
\(779\) | 15.9551i | 0.571650i | ||||||||
\(780\) | 0.536077 | + | 0.365291i | 0.0191946 | + | 0.0130795i | ||||
\(781\) | − | 15.3369i | − | 0.548797i | ||||||
\(782\) | 48.8727i | 1.74768i | ||||||||
\(783\) | 16.1299 | + | 3.66856i | 0.576436 | + | 0.131104i | ||||
\(784\) | −0.818487 | −0.0292317 | ||||||||
\(785\) | −1.53889 | −0.0549252 | ||||||||
\(786\) | 2.96255 | + | 2.01872i | 0.105671 | + | 0.0720055i | ||||
\(787\) | −24.2500 | −0.864419 | −0.432209 | − | 0.901773i | \(-0.642266\pi\) | ||||
−0.432209 | + | 0.901773i | \(0.642266\pi\) | |||||||
\(788\) | − | 3.36517i | − | 0.119879i | ||||||
\(789\) | −21.0493 | + | 30.8905i | −0.749374 | + | 1.09973i | ||||
\(790\) | 0.912271i | 0.0324571i | ||||||||
\(791\) | 33.8638 | 1.20406 | ||||||||
\(792\) | 1.65029 | + | 4.19857i | 0.0586405 | + | 0.149190i | ||||
\(793\) | −49.5520 | −1.75964 | ||||||||
\(794\) | 37.9877i | 1.34813i | ||||||||
\(795\) | 0.0357740 | + | 0.0243770i | 0.00126877 | + | 0.000864562i | ||||
\(796\) | −12.2483 | −0.434129 | ||||||||
\(797\) | −16.8858 | −0.598125 | −0.299063 | − | 0.954233i | \(-0.596674\pi\) | ||||
−0.299063 | + | 0.954233i | \(0.596674\pi\) | |||||||
\(798\) | 14.1992 | + | 9.67555i | 0.502646 | + | 0.342511i | ||||
\(799\) | − | 28.7715i | − | 1.01786i | ||||||
\(800\) | −4.99002 | −0.176424 | ||||||||
\(801\) | −9.03745 | − | 22.9926i | −0.319323 | − | 0.812402i | ||||
\(802\) | −5.22747 | −0.184588 | ||||||||
\(803\) | 17.0382i | 0.601266i | ||||||||
\(804\) | 6.89277 | − | 10.1154i | 0.243089 | − | 0.356742i | ||||
\(805\) | 1.81642i | 0.0640204i | ||||||||
\(806\) | −34.6194 | −1.21942 | ||||||||
\(807\) | −1.61630 | − | 1.10137i | −0.0568964 | − | 0.0387701i | ||||
\(808\) | 9.73873 | 0.342607 | ||||||||
\(809\) | −38.5731 | −1.35616 | −0.678079 | − | 0.734989i | \(-0.737187\pi\) | ||||
−0.678079 | + | 0.734989i | \(0.737187\pi\) | |||||||
\(810\) | 0.612289 | + | 0.658541i | 0.0215136 | + | 0.0231388i | ||||
\(811\) | − | 12.1112i | − | 0.425282i | −0.977130 | − | 0.212641i | \(-0.931794\pi\) | ||
0.977130 | − | 0.212641i | \(-0.0682065\pi\) | |||||||
\(812\) | 7.91497i | 0.277761i | ||||||||
\(813\) | 2.36641 | + | 1.61251i | 0.0829937 | + | 0.0565532i | ||||
\(814\) | 1.00004i | 0.0350512i | ||||||||
\(815\) | − | 1.12359i | − | 0.0393577i | ||||||
\(816\) | −6.51880 | + | 9.56657i | −0.228204 | + | 0.334897i | ||||
\(817\) | − | 40.1020i | − | 1.40299i | ||||||
\(818\) | − | 19.5017i | − | 0.681860i | ||||||
\(819\) | −26.0220 | + | 10.2282i | −0.909282 | + | 0.357402i | ||||
\(820\) | −0.399523 | −0.0139519 | ||||||||
\(821\) | 20.9298 | 0.730454 | 0.365227 | − | 0.930918i | \(-0.380991\pi\) | ||||
0.365227 | + | 0.930918i | \(0.380991\pi\) | |||||||
\(822\) | −3.18755 | + | 4.67784i | −0.111179 | + | 0.163159i | ||||
\(823\) | 8.57928i | 0.299055i | 0.988758 | + | 0.149527i | \(0.0477752\pi\) | ||||
−0.988758 | + | 0.149527i | \(0.952225\pi\) | |||||||
\(824\) | 1.88836i | 0.0657843i | ||||||||
\(825\) | 10.7404 | + | 7.31866i | 0.373933 | + | 0.254803i | ||||
\(826\) | −19.0393 | + | 1.48797i | −0.662462 | + | 0.0517730i | ||||
\(827\) | 15.5408i | 0.540406i | 0.962803 | + | 0.270203i | \(0.0870908\pi\) | ||||
−0.962803 | + | 0.270203i | \(0.912909\pi\) | |||||||
\(828\) | 8.02482 | + | 20.4163i | 0.278882 | + | 0.709515i | ||||
\(829\) | 41.6019 | 1.44489 | 0.722447 | − | 0.691426i | \(-0.243017\pi\) | ||||
0.722447 | + | 0.691426i | \(0.243017\pi\) | |||||||
\(830\) | − | 0.542919i | − | 0.0188450i | ||||||
\(831\) | −3.31818 | − | 2.26106i | −0.115107 | − | 0.0784353i | ||||
\(832\) | 3.74859i | 0.129959i | ||||||||
\(833\) | 5.47049i | 0.189541i | ||||||||
\(834\) | 23.2592 | + | 15.8492i | 0.805400 | + | 0.548812i | ||||
\(835\) | −0.744030 | −0.0257482 | ||||||||
\(836\) | −6.00000 | −0.207514 | ||||||||
\(837\) | −46.7930 | − | 10.6425i | −1.61740 | − | 0.367860i | ||||
\(838\) | −28.2270 | −0.975086 | ||||||||
\(839\) | 28.1769 | 0.972774 | 0.486387 | − | 0.873744i | \(-0.338315\pi\) | ||||
0.486387 | + | 0.873744i | \(0.338315\pi\) | |||||||
\(840\) | −0.242280 | + | 0.355555i | −0.00835947 | + | 0.0122678i | ||||
\(841\) | 18.8655 | 0.650534 | ||||||||
\(842\) | 12.3690i | 0.426265i | ||||||||
\(843\) | 23.0472 | − | 33.8225i | 0.793787 | − | 1.16491i | ||||
\(844\) | 2.12329i | 0.0730868i | ||||||||
\(845\) | − | 0.105101i | − | 0.00361560i | ||||||
\(846\) | −4.72424 | − | 12.0191i | −0.162423 | − | 0.413226i | ||||
\(847\) | −21.7268 | −0.746541 | ||||||||
\(848\) | 0.250155i | 0.00859035i | ||||||||
\(849\) | −23.2951 | + | 34.1864i | −0.799487 | + | 1.17327i | ||||
\(850\) | 33.3516i | 1.14395i | ||||||||
\(851\) | 4.86285i | 0.166696i | ||||||||
\(852\) | 9.94750 | − | 14.5983i | 0.340796 | − | 0.500129i | ||||
\(853\) | −20.7376 | −0.710043 | −0.355021 | − | 0.934858i | \(-0.615526\pi\) | ||||
−0.355021 | + | 0.934858i | \(0.615526\pi\) | |||||||
\(854\) | − | 32.8655i | − | 1.12463i | ||||||
\(855\) | −1.11306 | + | 0.437498i | −0.0380657 | + | 0.0149621i | ||||
\(856\) | − | 1.98828i | − | 0.0679579i | ||||||
\(857\) | −2.80382 | −0.0957768 | −0.0478884 | − | 0.998853i | \(-0.515249\pi\) | ||||
−0.0478884 | + | 0.998853i | \(0.515249\pi\) | |||||||
\(858\) | 5.49791 | − | 8.06838i | 0.187696 | − | 0.275450i | ||||
\(859\) | 8.56652i | 0.292286i | 0.989263 | + | 0.146143i | \(0.0466859\pi\) | ||||
−0.989263 | + | 0.146143i | \(0.953314\pi\) | |||||||
\(860\) | 1.00417 | 0.0342420 | ||||||||
\(861\) | 9.69671 | − | 14.2303i | 0.330463 | − | 0.484966i | ||||
\(862\) | 15.4958 | 0.527789 | ||||||||
\(863\) | 18.8863 | 0.642897 | 0.321448 | − | 0.946927i | \(-0.395830\pi\) | ||||
0.321448 | + | 0.946927i | \(0.395830\pi\) | |||||||
\(864\) | −1.15238 | + | 5.06676i | −0.0392046 | + | 0.172375i | ||||
\(865\) | 0.187663i | 0.00638073i | ||||||||
\(866\) | −24.9628 | −0.848269 | ||||||||
\(867\) | 39.6070 | + | 26.9888i | 1.34512 | + | 0.916587i | ||||
\(868\) | − | 22.9614i | − | 0.779361i | ||||||
\(869\) | 13.7304 | 0.465771 | ||||||||
\(870\) | −0.455261 | − | 0.310222i | −0.0154348 | − | 0.0105175i | ||||
\(871\) | −26.4916 | −0.897635 | ||||||||
\(872\) | − | 9.53579i | − | 0.322923i | ||||||
\(873\) | 10.7028 | − | 4.20682i | 0.362233 | − | 0.142379i | ||||
\(874\) | −29.1760 | −0.986894 | ||||||||
\(875\) | 2.48160i | 0.0838933i | ||||||||
\(876\) | −11.0510 | + | 16.2177i | −0.373378 | + | 0.547945i | ||||
\(877\) | −43.7408 | −1.47702 | −0.738510 | − | 0.674242i | \(-0.764470\pi\) | ||||
−0.738510 | + | 0.674242i | \(0.764470\pi\) | |||||||
\(878\) | −40.6897 | −1.37321 | ||||||||
\(879\) | −6.44709 | + | 9.46133i | −0.217455 | + | 0.319123i | ||||
\(880\) | − | 0.150243i | − | 0.00506469i | ||||||
\(881\) | −26.5001 | −0.892811 | −0.446405 | − | 0.894831i | \(-0.647296\pi\) | ||||
−0.446405 | + | 0.894831i | \(0.647296\pi\) | |||||||
\(882\) | 0.898247 | + | 2.28527i | 0.0302455 | + | 0.0769489i | ||||
\(883\) | 0.00682396 | 0.000229645 | 0.000114822 | − | 1.00000i | \(-0.499963\pi\) | ||||
0.000114822 | 1.00000i | \(0.499963\pi\) | ||||||||
\(884\) | 25.0543 | 0.842668 | ||||||||
\(885\) | 0.660647 | − | 1.15344i | 0.0222074 | − | 0.0387726i | ||||
\(886\) | 32.3516 | 1.08687 | ||||||||
\(887\) | −34.3521 | −1.15343 | −0.576715 | − | 0.816946i | \(-0.695666\pi\) | ||||
−0.576715 | + | 0.816946i | \(0.695666\pi\) | |||||||
\(888\) | −0.648623 | + | 0.951877i | −0.0217664 | + | 0.0319429i | ||||
\(889\) | −2.70323 | −0.0906634 | ||||||||
\(890\) | 0.822772i | 0.0275794i | ||||||||
\(891\) | 9.91156 | − | 9.21542i | 0.332050 | − | 0.308728i | ||||
\(892\) | 5.17553 | 0.173290 | ||||||||
\(893\) | 17.1760 | 0.574774 | ||||||||
\(894\) | 6.34054 | + | 4.32054i | 0.212059 | + | 0.144500i | ||||
\(895\) | − | 1.44288i | − | 0.0482300i | ||||||
\(896\) | −2.48626 | −0.0830603 | ||||||||
\(897\) | 26.7346 | − | 39.2339i | 0.892641 | − | 1.30998i | ||||
\(898\) | − | 29.6661i | − | 0.989969i | ||||||
\(899\) | 29.4004 | 0.980558 | ||||||||
\(900\) | 5.47628 | + | 13.9324i | 0.182543 | + | 0.464415i | ||||
\(901\) | 1.67195 | 0.0557007 | ||||||||
\(902\) | 6.01313i | 0.200215i | ||||||||
\(903\) | −24.3720 | + | 35.7668i | −0.811050 | + | 1.19024i | ||||
\(904\) | −13.6203 | −0.453006 | ||||||||
\(905\) | − | 1.95583i | − | 0.0650141i | ||||||
\(906\) | 12.3081 | − | 18.0625i | 0.408909 | − | 0.600088i | ||||
\(907\) | −11.8888 | −0.394760 | −0.197380 | − | 0.980327i | \(-0.563243\pi\) | ||||
−0.197380 | + | 0.980327i | \(0.563243\pi\) | |||||||
\(908\) | −29.3591 | −0.974315 | ||||||||
\(909\) | −10.6877 | − | 27.1911i | −0.354490 | − | 0.901873i | ||||
\(910\) | 0.931179 | 0.0308683 | ||||||||
\(911\) | 37.1603i | 1.23118i | 0.788068 | + | 0.615589i | \(0.211082\pi\) | ||||
−0.788068 | + | 0.615589i | \(0.788918\pi\) | |||||||
\(912\) | −5.71106 | − | 3.89160i | −0.189112 | − | 0.128864i | ||||
\(913\) | −8.17136 | −0.270432 | ||||||||
\(914\) | 15.2368i | 0.503989i | ||||||||
\(915\) | 1.89039 | + | 1.28814i | 0.0624945 | + | 0.0425847i | ||||
\(916\) | − | 7.00153i | − | 0.231337i | ||||||
\(917\) | 5.14601 | 0.169936 | ||||||||
\(918\) | 33.8645 | + | 7.70209i | 1.11769 | + | 0.254207i | ||||
\(919\) | − | 24.7932i | − | 0.817853i | −0.912567 | − | 0.408926i | \(-0.865903\pi\) | ||
0.912567 | − | 0.408926i | \(-0.134097\pi\) | |||||||
\(920\) | − | 0.730582i | − | 0.0240866i | ||||||
\(921\) | 39.5698 | + | 26.9634i | 1.30387 | + | 0.888475i | ||||
\(922\) | 19.8024i | 0.652158i | ||||||||
\(923\) | −38.2321 | −1.25843 | ||||||||
\(924\) | 5.35138 | + | 3.64651i | 0.176047 | + | 0.119961i | ||||
\(925\) | 3.31850i | 0.109111i | ||||||||
\(926\) | − | 22.7494i | − | 0.747591i | ||||||
\(927\) | 5.27243 | − | 2.07238i | 0.173169 | − | 0.0680659i | ||||
\(928\) | − | 3.18348i | − | 0.104503i | ||||||
\(929\) | 38.7083 | 1.26998 | 0.634988 | − | 0.772522i | \(-0.281005\pi\) | ||||
0.634988 | + | 0.772522i | \(0.281005\pi\) | |||||||
\(930\) | 1.32072 | + | 0.899957i | 0.0433081 | + | 0.0295108i | ||||
\(931\) | −3.26578 | −0.107032 | ||||||||
\(932\) | −24.8628 | −0.814409 | ||||||||
\(933\) | 22.9544 | − | 33.6864i | 0.751494 | − | 1.10284i | ||||
\(934\) | 10.9522 | 0.358368 | ||||||||
\(935\) | −1.00417 | −0.0328400 | ||||||||
\(936\) | 10.4663 | − | 4.11388i | 0.342102 | − | 0.134466i | ||||
\(937\) | 51.7494i | 1.69058i | 0.534308 | + | 0.845290i | \(0.320572\pi\) | ||||
−0.534308 | + | 0.845290i | \(0.679428\pi\) | |||||||
\(938\) | − | 17.5707i | − | 0.573702i | ||||||
\(939\) | 26.2050 | − | 38.4568i | 0.855169 | − | 1.25499i | ||||
\(940\) | 0.430096i | 0.0140282i | ||||||||
\(941\) | 3.35856 | 0.109486 | 0.0547430 | − | 0.998500i | \(-0.482566\pi\) | ||||
0.0547430 | + | 0.998500i | \(0.482566\pi\) | |||||||
\(942\) | −15.0225 | + | 22.0461i | −0.489460 | + | 0.718300i | ||||
\(943\) | 29.2399i | 0.952181i | ||||||||
\(944\) | 7.65780 | − | 0.598474i | 0.249240 | − | 0.0194787i | ||||
\(945\) | 1.25862 | + | 0.286259i | 0.0409429 | + | 0.00931200i | ||||
\(946\) | − | 15.1136i | − | 0.491385i | ||||||
\(947\) | − | 34.9802i | − | 1.13670i | −0.822785 | − | 0.568352i | \(-0.807581\pi\) | ||
0.822785 | − | 0.568352i | \(-0.192419\pi\) | |||||||
\(948\) | 13.0692 | + | 8.90552i | 0.424467 | + | 0.289238i | ||||
\(949\) | 42.4733 | 1.37874 | ||||||||
\(950\) | −19.9103 | −0.645974 | ||||||||
\(951\) | 31.3307 | − | 45.9789i | 1.01597 | − | 1.49097i | ||||
\(952\) | 16.6174i | 0.538571i | ||||||||
\(953\) | 33.7188i | 1.09226i | 0.837701 | + | 0.546129i | \(0.183899\pi\) | ||||
−0.837701 | + | 0.546129i | \(0.816101\pi\) | |||||||
\(954\) | 0.698448 | − | 0.274532i | 0.0226131 | − | 0.00888830i | ||||
\(955\) | − | 0.200157i | − | 0.00647693i | ||||||
\(956\) | − | 3.43288i | − | 0.111027i | ||||||
\(957\) | −4.66908 | + | 6.85204i | −0.150930 | + | 0.221495i | ||||
\(958\) | 29.5038i | 0.953226i | ||||||||
\(959\) | 8.12552i | 0.262387i | ||||||||
\(960\) | 0.0974475 | − | 0.143008i | 0.00314511 | − | 0.00461555i | ||||
\(961\) | −54.2908 | −1.75132 | ||||||||
\(962\) | 2.49291 | 0.0803748 | ||||||||
\(963\) | −5.55139 | + | 2.18203i | −0.178891 | + | 0.0703149i | ||||
\(964\) | 8.12675 | 0.261745 | ||||||||
\(965\) | 0.678504i | 0.0218418i | ||||||||
\(966\) | 26.0220 | + | 17.7318i | 0.837244 | + | 0.570510i | ||||
\(967\) | 31.3698i | 1.00879i | 0.863474 | + | 0.504393i | \(0.168284\pi\) | ||||
−0.863474 | + | 0.504393i | \(0.831716\pi\) | |||||||
\(968\) | 8.73873 | 0.280873 | ||||||||
\(969\) | −26.0101 | + | 38.1708i | −0.835566 | + | 1.22622i | ||||
\(970\) | −0.382990 | −0.0122971 | ||||||||
\(971\) | − | 20.6892i | − | 0.663947i | −0.943289 | − | 0.331973i | \(-0.892286\pi\) | ||
0.943289 | − | 0.331973i | \(-0.107714\pi\) | |||||||
\(972\) | 15.4114 | − | 2.34300i | 0.494320 | − | 0.0751516i | ||||
\(973\) | 40.4018 | 1.29522 | ||||||||
\(974\) | −14.4863 | −0.464170 | ||||||||
\(975\) | 18.2441 | − | 26.7739i | 0.584280 | − | 0.857452i | ||||
\(976\) | 13.2188i | 0.423124i | ||||||||
\(977\) | 19.8156 | 0.633956 | 0.316978 | − | 0.948433i | \(-0.397332\pi\) | ||||
0.316978 | + | 0.948433i | \(0.397332\pi\) | |||||||
\(978\) | −16.0965 | − | 10.9684i | −0.514711 | − | 0.350731i | ||||
\(979\) | 12.3834 | 0.395774 | ||||||||
\(980\) | − | 0.0817767i | − | 0.00261226i | ||||||
\(981\) | −26.6245 | + | 10.4650i | −0.850055 | + | 0.334123i | ||||
\(982\) | 18.1129i | 0.578005i | ||||||||
\(983\) | 43.7106 | 1.39415 | 0.697076 | − | 0.716997i | \(-0.254484\pi\) | ||||
0.697076 | + | 0.716997i | \(0.254484\pi\) | |||||||
\(984\) | −3.90011 | + | 5.72355i | −0.124331 | + | 0.182460i | ||||
\(985\) | 0.336220 | 0.0107129 | ||||||||
\(986\) | −21.2773 | −0.677607 | ||||||||
\(987\) | −15.3192 | − | 10.4388i | −0.487617 | − | 0.332269i | ||||
\(988\) | 14.9569i | 0.475844i | ||||||||
\(989\) | − | 73.4924i | − | 2.33692i | ||||||
\(990\) | −0.419487 | + | 0.164884i | −0.0133322 | + | 0.00524035i | ||||
\(991\) | 35.1492i | 1.11655i | 0.829656 | + | 0.558275i | \(0.188537\pi\) | ||||
−0.829656 | + | 0.558275i | \(0.811463\pi\) | |||||||
\(992\) | 9.23530i | 0.293221i | ||||||||
\(993\) | 28.3293 | + | 19.3040i | 0.899003 | + | 0.612594i | ||||
\(994\) | − | 25.3576i | − | 0.804294i | ||||||
\(995\) | − | 1.22375i | − | 0.0387955i | ||||||
\(996\) | −7.77785 | − | 5.29994i | −0.246451 | − | 0.167935i | ||||
\(997\) | 16.9857 | 0.537943 | 0.268972 | − | 0.963148i | \(-0.413316\pi\) | ||||
0.268972 | + | 0.963148i | \(0.413316\pi\) | |||||||
\(998\) | −21.6305 | −0.684701 | ||||||||
\(999\) | 3.36953 | + | 0.766361i | 0.106607 | + | 0.0242466i |
(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 | 354.2.c.a.353.3 | ✓ | 10 | |
3.2 | odd | 2 | 354.2.c.b.353.4 | yes | 10 | ||
59.58 | odd | 2 | 354.2.c.b.353.3 | yes | 10 | ||
177.176 | even | 2 | inner | 354.2.c.a.353.4 | yes | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
354.2.c.a.353.3 | ✓ | 10 | 1.1 | even | 1 | trivial | |
354.2.c.a.353.4 | yes | 10 | 177.176 | even | 2 | inner | |
354.2.c.b.353.3 | yes | 10 | 59.58 | odd | 2 | ||
354.2.c.b.353.4 | yes | 10 | 3.2 | odd | 2 |