Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [287,2,Mod(3,287)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(287, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([4, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("287.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 287 = 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 287.w (of order \(24\), degree \(8\), 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: | \(2.29170653801\) |
Analytic rank: | \(0\) |
Dimension: | \(208\) |
Relative dimension: | \(26\) over \(\Q(\zeta_{24})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 3.15 | ||
Character | \(\chi\) | \(=\) | 287.3 |
Dual form | 287.2.w.a.96.15 |
$q$-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 \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).
\(n\) | \(206\) | \(211\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{3}{8}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0492328 | + | 0.0131919i | 0.0348128 | + | 0.00932807i | 0.276183 | − | 0.961105i | \(-0.410930\pi\) |
−0.241371 | + | 0.970433i | \(0.577597\pi\) | |||||||
\(3\) | −1.37958 | + | 1.05859i | −0.796501 | + | 0.611177i | −0.924754 | − | 0.380564i | \(-0.875730\pi\) |
0.128253 | + | 0.991741i | \(0.459063\pi\) | |||||||
\(4\) | −1.72980 | − | 0.998701i | −0.864900 | − | 0.499351i | ||||
\(5\) | 2.44382 | + | 0.654820i | 1.09291 | + | 0.292844i | 0.759875 | − | 0.650070i | \(-0.225260\pi\) |
0.333036 | + | 0.942914i | \(0.391927\pi\) | |||||||
\(6\) | −0.0818854 | + | 0.0339181i | −0.0334296 | + | 0.0138470i | ||||
\(7\) | 0.674922 | − | 2.55822i | 0.255097 | − | 0.966916i | ||||
\(8\) | −0.144070 | − | 0.144070i | −0.0509364 | − | 0.0509364i | ||||
\(9\) | 0.00617438 | − | 0.0230431i | 0.00205813 | − | 0.00768104i | ||||
\(10\) | 0.111678 | + | 0.0644773i | 0.0353156 | + | 0.0203895i | ||||
\(11\) | 1.12636 | − | 0.864287i | 0.339610 | − | 0.260592i | −0.424849 | − | 0.905264i | \(-0.639673\pi\) |
0.764459 | + | 0.644672i | \(0.223006\pi\) | |||||||
\(12\) | 3.44362 | − | 0.453361i | 0.994086 | − | 0.130874i | ||||
\(13\) | 4.77223 | + | 1.97672i | 1.32358 | + | 0.548244i | 0.928817 | − | 0.370540i | \(-0.120827\pi\) |
0.394762 | + | 0.918784i | \(0.370827\pi\) | |||||||
\(14\) | 0.0669760 | − | 0.117045i | 0.0179001 | − | 0.0312815i | ||||
\(15\) | −4.06464 | + | 1.68363i | −1.04948 | + | 0.434711i | ||||
\(16\) | 1.99221 | + | 3.45061i | 0.498052 | + | 0.862652i | ||||
\(17\) | −0.157819 | + | 1.19875i | −0.0382767 | + | 0.290740i | 0.961591 | + | 0.274486i | \(0.0885075\pi\) |
−0.999868 | + | 0.0162546i | \(0.994826\pi\) | |||||||
\(18\) | 0.000607964 | − | 0.00105303i | 0.000143299 | − | 0.000248200i | ||||
\(19\) | 4.18135 | + | 3.20846i | 0.959268 | + | 0.736072i | 0.964546 | − | 0.263914i | \(-0.0850135\pi\) |
−0.00527835 | + | 0.999986i | \(0.501680\pi\) | |||||||
\(20\) | −3.57336 | − | 3.57336i | −0.799027 | − | 0.799027i | ||||
\(21\) | 1.77699 | + | 4.24373i | 0.387772 | + | 0.926059i | ||||
\(22\) | 0.0668554 | − | 0.0276924i | 0.0142536 | − | 0.00590405i | ||||
\(23\) | 4.74479 | − | 2.73940i | 0.989357 | − | 0.571205i | 0.0842747 | − | 0.996443i | \(-0.473143\pi\) |
0.905082 | + | 0.425237i | \(0.139809\pi\) | |||||||
\(24\) | 0.351267 | + | 0.0462452i | 0.0717021 | + | 0.00943977i | ||||
\(25\) | 1.21335 | + | 0.700528i | 0.242670 | + | 0.140106i | ||||
\(26\) | 0.208874 | + | 0.160274i | 0.0409635 | + | 0.0314324i | ||||
\(27\) | −1.98050 | − | 4.78134i | −0.381147 | − | 0.920170i | ||||
\(28\) | −3.72238 | + | 3.75116i | −0.703463 | + | 0.708903i | ||||
\(29\) | −0.982733 | + | 2.37253i | −0.182489 | + | 0.440567i | −0.988478 | − | 0.151363i | \(-0.951634\pi\) |
0.805989 | + | 0.591930i | \(0.201634\pi\) | |||||||
\(30\) | −0.222324 | + | 0.0292695i | −0.0405906 | + | 0.00534385i | ||||
\(31\) | 2.81243 | − | 4.87127i | 0.505127 | − | 0.874906i | −0.494855 | − | 0.868975i | \(-0.664779\pi\) |
0.999982 | − | 0.00593043i | \(-0.00188773\pi\) | |||||||
\(32\) | 0.158029 | + | 0.589771i | 0.0279358 | + | 0.104258i | ||||
\(33\) | −0.638980 | + | 2.38471i | −0.111232 | + | 0.415124i | ||||
\(34\) | −0.0235837 | + | 0.0569360i | −0.00404456 | + | 0.00976444i | ||||
\(35\) | 3.32456 | − | 5.80988i | 0.561953 | − | 0.982049i | ||||
\(36\) | −0.0336936 | + | 0.0336936i | −0.00561561 | + | 0.00561561i | ||||
\(37\) | 2.77108 | + | 4.79965i | 0.455562 | + | 0.789057i | 0.998720 | − | 0.0505735i | \(-0.0161049\pi\) |
−0.543158 | + | 0.839630i | \(0.682772\pi\) | |||||||
\(38\) | 0.163534 | + | 0.213122i | 0.0265287 | + | 0.0345729i | ||||
\(39\) | −8.67621 | + | 2.32478i | −1.38931 | + | 0.372263i | ||||
\(40\) | −0.257742 | − | 0.446421i | −0.0407525 | − | 0.0705854i | ||||
\(41\) | −1.36755 | − | 6.25538i | −0.213575 | − | 0.976927i | ||||
\(42\) | 0.0315035 | + | 0.232373i | 0.00486110 | + | 0.0358559i | ||||
\(43\) | −2.13434 | + | 2.13434i | −0.325485 | + | 0.325485i | −0.850866 | − | 0.525382i | \(-0.823922\pi\) |
0.525382 | + | 0.850866i | \(0.323922\pi\) | |||||||
\(44\) | −2.81154 | + | 0.370147i | −0.423856 | + | 0.0558017i | ||||
\(45\) | 0.0301782 | − | 0.0522702i | 0.00449870 | − | 0.00779197i | ||||
\(46\) | 0.269737 | − | 0.0722758i | 0.0397706 | − | 0.0106565i | ||||
\(47\) | −5.27012 | − | 4.04391i | −0.768726 | − | 0.589864i | 0.148183 | − | 0.988960i | \(-0.452657\pi\) |
−0.916909 | + | 0.399096i | \(0.869324\pi\) | |||||||
\(48\) | −6.40119 | − | 2.65146i | −0.923933 | − | 0.382705i | ||||
\(49\) | −6.08896 | − | 3.45320i | −0.869852 | − | 0.493314i | ||||
\(50\) | 0.0504953 | + | 0.0504953i | 0.00714111 | + | 0.00714111i | ||||
\(51\) | −1.05126 | − | 1.82084i | −0.147206 | − | 0.254969i | ||||
\(52\) | −6.28085 | − | 8.18537i | −0.870997 | − | 1.13511i | ||||
\(53\) | −6.03003 | + | 4.62700i | −0.828288 | + | 0.635568i | −0.933378 | − | 0.358895i | \(-0.883154\pi\) |
0.105090 | + | 0.994463i | \(0.466487\pi\) | |||||||
\(54\) | −0.0344305 | − | 0.261525i | −0.00468539 | − | 0.0355891i | ||||
\(55\) | 3.31858 | − | 1.37460i | 0.447477 | − | 0.185351i | ||||
\(56\) | −0.465799 | + | 0.271327i | −0.0622449 | + | 0.0362575i | ||||
\(57\) | −9.16496 | −1.21393 | ||||||||
\(58\) | −0.0796808 | + | 0.103842i | −0.0104626 | + | 0.0136351i | ||||
\(59\) | −2.52315 | − | 1.45674i | −0.328486 | − | 0.189651i | 0.326683 | − | 0.945134i | \(-0.394069\pi\) |
−0.655169 | + | 0.755483i | \(0.727402\pi\) | |||||||
\(60\) | 8.71245 | + | 1.14702i | 1.12477 | + | 0.148079i | ||||
\(61\) | −1.34467 | + | 5.01838i | −0.172168 | + | 0.642538i | 0.824849 | + | 0.565353i | \(0.191260\pi\) |
−0.997017 | + | 0.0771852i | \(0.975407\pi\) | |||||||
\(62\) | 0.202725 | − | 0.202725i | 0.0257461 | − | 0.0257461i | ||||
\(63\) | −0.0547821 | − | 0.0313477i | −0.00690189 | − | 0.00394944i | ||||
\(64\) | − | 7.93772i | − | 0.992215i | ||||||
\(65\) | 10.3681 | + | 7.95571i | 1.28600 | + | 0.986784i | ||||
\(66\) | −0.0629176 | + | 0.108976i | −0.00774462 | + | 0.0134141i | ||||
\(67\) | 1.31021 | + | 0.172493i | 0.160068 | + | 0.0210733i | 0.210134 | − | 0.977673i | \(-0.432610\pi\) |
−0.0500663 | + | 0.998746i | \(0.515943\pi\) | |||||||
\(68\) | 1.47019 | − | 1.91599i | 0.178287 | − | 0.232348i | ||||
\(69\) | −3.64591 | + | 8.80201i | −0.438916 | + | 1.05964i | ||||
\(70\) | 0.240321 | − | 0.242179i | 0.0287238 | − | 0.0289460i | ||||
\(71\) | −1.12850 | + | 2.72444i | −0.133928 | + | 0.323331i | −0.976589 | − | 0.215113i | \(-0.930988\pi\) |
0.842661 | + | 0.538445i | \(0.180988\pi\) | |||||||
\(72\) | −0.00420937 | + | 0.00243028i | −0.000496078 | + | 0.000286411i | ||||
\(73\) | 10.7161 | − | 2.87138i | 1.25423 | − | 0.336070i | 0.430261 | − | 0.902705i | \(-0.358422\pi\) |
0.823969 | + | 0.566635i | \(0.191755\pi\) | |||||||
\(74\) | 0.0731115 | + | 0.272856i | 0.00849904 | + | 0.0317188i | ||||
\(75\) | −2.41549 | + | 0.318005i | −0.278916 | + | 0.0367200i | ||||
\(76\) | −4.02861 | − | 9.72592i | −0.462113 | − | 1.11564i | ||||
\(77\) | −1.45083 | − | 3.46480i | −0.165337 | − | 0.394851i | ||||
\(78\) | −0.457823 | −0.0518382 | ||||||||
\(79\) | −0.918378 | − | 6.97577i | −0.103326 | − | 0.784836i | −0.962141 | − | 0.272551i | \(-0.912133\pi\) |
0.858816 | − | 0.512285i | \(-0.171201\pi\) | |||||||
\(80\) | 2.60908 | + | 9.73721i | 0.291704 | + | 1.08865i | ||||
\(81\) | 7.85572 | + | 4.53550i | 0.872857 | + | 0.503944i | ||||
\(82\) | 0.0151920 | − | 0.326011i | 0.00167768 | − | 0.0360018i | ||||
\(83\) | 15.1909i | 1.66742i | 0.552205 | + | 0.833708i | \(0.313787\pi\) | ||||
−0.552205 | + | 0.833708i | \(0.686213\pi\) | |||||||
\(84\) | 1.16438 | − | 9.11550i | 0.127044 | − | 0.994583i | ||||
\(85\) | −1.17065 | + | 2.82619i | −0.126975 | + | 0.306544i | ||||
\(86\) | −0.133236 | + | 0.0769237i | −0.0143672 | + | 0.00829490i | ||||
\(87\) | −1.15577 | − | 4.31341i | −0.123912 | − | 0.462446i | ||||
\(88\) | −0.286792 | − | 0.0377569i | −0.0305722 | − | 0.00402490i | ||||
\(89\) | −0.568575 | − | 4.31875i | −0.0602688 | − | 0.457787i | −0.994795 | − | 0.101893i | \(-0.967510\pi\) |
0.934527 | − | 0.355893i | \(-0.115823\pi\) | |||||||
\(90\) | 0.00217530 | − | 0.00217530i | 0.000229297 | − | 0.000229297i | ||||
\(91\) | 8.27777 | − | 10.8743i | 0.867746 | − | 1.13993i | ||||
\(92\) | −10.9434 | −1.14093 | ||||||||
\(93\) | 1.27670 | + | 9.69752i | 0.132388 | + | 1.00559i | ||||
\(94\) | −0.206116 | − | 0.268616i | −0.0212592 | − | 0.0277056i | ||||
\(95\) | 8.11751 | + | 10.5789i | 0.832839 | + | 1.08538i | ||||
\(96\) | −0.842338 | − | 0.646349i | −0.0859708 | − | 0.0659677i | ||||
\(97\) | −4.04693 | − | 9.77016i | −0.410904 | − | 0.992009i | −0.984896 | − | 0.173148i | \(-0.944606\pi\) |
0.573992 | − | 0.818861i | \(-0.305394\pi\) | |||||||
\(98\) | −0.254222 | − | 0.250335i | −0.0256803 | − | 0.0252877i | ||||
\(99\) | −0.0129613 | − | 0.0312913i | −0.00130266 | − | 0.00314489i | ||||
\(100\) | −1.39924 | − | 2.42355i | −0.139924 | − | 0.242355i | ||||
\(101\) | −0.373999 | + | 2.84081i | −0.0372143 | + | 0.282671i | 0.962712 | + | 0.270529i | \(0.0871984\pi\) |
−0.999926 | + | 0.0121423i | \(0.996135\pi\) | |||||||
\(102\) | −0.0277363 | − | 0.103513i | −0.00274630 | − | 0.0102493i | ||||
\(103\) | −11.4030 | − | 3.05542i | −1.12357 | − | 0.301059i | −0.351242 | − | 0.936285i | \(-0.614240\pi\) |
−0.772327 | + | 0.635226i | \(0.780907\pi\) | |||||||
\(104\) | −0.402749 | − | 0.972321i | −0.0394928 | − | 0.0953440i | ||||
\(105\) | 1.56377 | + | 11.5345i | 0.152609 | + | 1.12566i | ||||
\(106\) | −0.357914 | + | 0.148253i | −0.0347637 | + | 0.0143996i | ||||
\(107\) | −0.539862 | + | 0.311689i | −0.0521904 | + | 0.0301321i | −0.525868 | − | 0.850566i | \(-0.676259\pi\) |
0.473678 | + | 0.880698i | \(0.342926\pi\) | |||||||
\(108\) | −1.34927 | + | 10.2487i | −0.129833 | + | 0.986181i | ||||
\(109\) | 1.37856 | − | 10.4712i | 0.132042 | − | 1.00296i | −0.789245 | − | 0.614079i | \(-0.789528\pi\) |
0.921287 | − | 0.388883i | \(-0.127139\pi\) | |||||||
\(110\) | 0.181516 | − | 0.0238971i | 0.0173069 | − | 0.00227850i | ||||
\(111\) | −8.90378 | − | 3.68807i | −0.845109 | − | 0.350056i | ||||
\(112\) | 10.1720 | − | 2.76762i | 0.961163 | − | 0.261515i | ||||
\(113\) | 17.9948i | 1.69281i | 0.532542 | + | 0.846404i | \(0.321237\pi\) | ||||
−0.532542 | + | 0.846404i | \(0.678763\pi\) | |||||||
\(114\) | −0.451217 | − | 0.120903i | −0.0422603 | − | 0.0113236i | ||||
\(115\) | 13.3892 | − | 3.58763i | 1.24855 | − | 0.334549i | ||||
\(116\) | 4.06938 | − | 3.12254i | 0.377832 | − | 0.289921i | ||||
\(117\) | 0.0750154 | − | 0.0977620i | 0.00693518 | − | 0.00903810i | ||||
\(118\) | −0.105004 | − | 0.105004i | −0.00966644 | − | 0.00966644i | ||||
\(119\) | 2.96015 | + | 1.21280i | 0.271357 | + | 0.111177i | ||||
\(120\) | 0.828152 | + | 0.343032i | 0.0755996 | + | 0.0313144i | ||||
\(121\) | −2.32531 | + | 8.67819i | −0.211392 | + | 0.788926i | ||||
\(122\) | −0.132404 | + | 0.229330i | −0.0119873 | + | 0.0207626i | ||||
\(123\) | 8.50853 | + | 7.18213i | 0.767188 | + | 0.647591i | ||||
\(124\) | −9.72988 | + | 5.61755i | −0.873769 | + | 0.504471i | ||||
\(125\) | −6.43852 | − | 6.43852i | −0.575879 | − | 0.575879i | ||||
\(126\) | −0.00228354 | − | 0.00226602i | −0.000203434 | − | 0.000201873i | ||||
\(127\) | 17.8689i | 1.58561i | 0.609475 | + | 0.792805i | \(0.291380\pi\) | ||||
−0.609475 | + | 0.792805i | \(0.708620\pi\) | |||||||
\(128\) | 0.420771 | − | 1.57034i | 0.0371912 | − | 0.138800i | ||||
\(129\) | 0.685106 | − | 5.20390i | 0.0603202 | − | 0.458178i | ||||
\(130\) | 0.405499 | + | 0.528456i | 0.0355646 | + | 0.0463487i | ||||
\(131\) | −3.80660 | − | 1.01998i | −0.332584 | − | 0.0891157i | 0.0886625 | − | 0.996062i | \(-0.471741\pi\) |
−0.421247 | + | 0.906946i | \(0.638407\pi\) | |||||||
\(132\) | 3.48692 | − | 3.48692i | 0.303497 | − | 0.303497i | ||||
\(133\) | 11.0300 | − | 8.53135i | 0.956426 | − | 0.739762i | ||||
\(134\) | 0.0622299 | + | 0.0257765i | 0.00537585 | + | 0.00222675i | ||||
\(135\) | −1.70906 | − | 12.9816i | −0.147093 | − | 1.11728i | ||||
\(136\) | 0.195441 | − | 0.149967i | 0.0167589 | − | 0.0128596i | ||||
\(137\) | −16.6054 | − | 2.18614i | −1.41870 | − | 0.186775i | −0.618157 | − | 0.786055i | \(-0.712120\pi\) |
−0.800540 | + | 0.599280i | \(0.795454\pi\) | |||||||
\(138\) | −0.295614 | + | 0.385251i | −0.0251643 | + | 0.0327948i | ||||
\(139\) | − | 19.5242i | − | 1.65602i | −0.560712 | − | 0.828011i | \(-0.689472\pi\) | ||
0.560712 | − | 0.828011i | \(-0.310528\pi\) | |||||||
\(140\) | −11.5532 | + | 6.72969i | −0.976420 | + | 0.568762i | ||||
\(141\) | 11.5514 | 0.972803 | ||||||||
\(142\) | −0.0914996 | + | 0.119245i | −0.00767848 | + | 0.0100068i | ||||
\(143\) | 7.08370 | − | 1.89807i | 0.592369 | − | 0.158725i | ||||
\(144\) | 0.0918134 | − | 0.0246013i | 0.00765112 | − | 0.00205011i | ||||
\(145\) | −3.95520 | + | 5.15452i | −0.328462 | + | 0.428060i | ||||
\(146\) | 0.565465 | 0.0467982 | ||||||||
\(147\) | 12.0557 | − | 1.68175i | 0.994340 | − | 0.138708i | ||||
\(148\) | − | 11.0699i | − | 0.909941i | ||||||
\(149\) | −7.80978 | + | 10.1779i | −0.639802 | + | 0.833806i | −0.994883 | − | 0.101029i | \(-0.967786\pi\) |
0.355081 | + | 0.934835i | \(0.384453\pi\) | |||||||
\(150\) | −0.123116 | − | 0.0162086i | −0.0100524 | − | 0.00132342i | ||||
\(151\) | −4.61998 | + | 3.54504i | −0.375969 | + | 0.288491i | −0.779410 | − | 0.626515i | \(-0.784481\pi\) |
0.403441 | + | 0.915006i | \(0.367814\pi\) | |||||||
\(152\) | −0.140164 | − | 1.06465i | −0.0113688 | − | 0.0863546i | ||||
\(153\) | 0.0266485 | + | 0.0110382i | 0.00215441 | + | 0.000892385i | ||||
\(154\) | −0.0257211 | − | 0.189721i | −0.00207266 | − | 0.0152882i | ||||
\(155\) | 10.0629 | − | 10.0629i | 0.808270 | − | 0.808270i | ||||
\(156\) | 17.3299 | + | 4.64353i | 1.38750 | + | 0.371780i | ||||
\(157\) | 5.22424 | + | 6.80836i | 0.416939 | + | 0.543366i | 0.953854 | − | 0.300270i | \(-0.0970769\pi\) |
−0.536915 | + | 0.843637i | \(0.680410\pi\) | |||||||
\(158\) | 0.0468093 | − | 0.355552i | 0.00372395 | − | 0.0282862i | ||||
\(159\) | 3.42081 | − | 12.7666i | 0.271288 | − | 1.01246i | ||||
\(160\) | 1.54477i | 0.122125i | ||||||||
\(161\) | −3.80563 | − | 13.9871i | −0.299926 | − | 1.10234i | ||||
\(162\) | 0.326927 | + | 0.326927i | 0.0256858 | + | 0.0256858i | ||||
\(163\) | 15.5772 | − | 8.99350i | 1.22010 | − | 0.704425i | 0.255161 | − | 0.966899i | \(-0.417872\pi\) |
0.964939 | + | 0.262474i | \(0.0845383\pi\) | |||||||
\(164\) | −3.88167 | + | 12.1863i | −0.303107 | + | 0.951593i | ||||
\(165\) | −3.12311 | + | 5.40938i | −0.243134 | + | 0.421120i | ||||
\(166\) | −0.200397 | + | 0.747890i | −0.0155538 | + | 0.0580475i | ||||
\(167\) | 17.6606 | + | 7.31524i | 1.36662 | + | 0.566071i | 0.940869 | − | 0.338772i | \(-0.110011\pi\) |
0.425747 | + | 0.904842i | \(0.360011\pi\) | |||||||
\(168\) | 0.355383 | − | 0.867406i | 0.0274184 | − | 0.0669219i | ||||
\(169\) | 9.67435 | + | 9.67435i | 0.744181 | + | 0.744181i | ||||
\(170\) | −0.0949171 | + | 0.123698i | −0.00727981 | + | 0.00948723i | ||||
\(171\) | 0.0997503 | − | 0.0765411i | 0.00762809 | − | 0.00585324i | ||||
\(172\) | 5.82356 | − | 1.56042i | 0.444043 | − | 0.118981i | ||||
\(173\) | 14.2056 | + | 3.80638i | 1.08003 | + | 0.289394i | 0.754609 | − | 0.656175i | \(-0.227827\pi\) |
0.325423 | + | 0.945568i | \(0.394493\pi\) | |||||||
\(174\) | − | 0.227608i | − | 0.0172549i | ||||||
\(175\) | 2.61102 | − | 2.63121i | 0.197374 | − | 0.198901i | ||||
\(176\) | 5.22626 | + | 2.16479i | 0.393944 | + | 0.163177i | ||||
\(177\) | 5.02298 | − | 0.661287i | 0.377550 | − | 0.0497054i | ||||
\(178\) | 0.0289800 | − | 0.220125i | 0.00217214 | − | 0.0164991i | ||||
\(179\) | 1.29660 | − | 9.84863i | 0.0969122 | − | 0.736121i | −0.872138 | − | 0.489259i | \(-0.837267\pi\) |
0.969051 | − | 0.246862i | \(-0.0793995\pi\) | |||||||
\(180\) | −0.104405 | + | 0.0602780i | −0.00778185 | + | 0.00449286i | ||||
\(181\) | 2.30134 | − | 0.953245i | 0.171057 | − | 0.0708542i | −0.295512 | − | 0.955339i | \(-0.595490\pi\) |
0.466569 | + | 0.884485i | \(0.345490\pi\) | |||||||
\(182\) | 0.550990 | − | 0.426171i | 0.0408421 | − | 0.0315899i | ||||
\(183\) | −3.45732 | − | 8.34672i | −0.255573 | − | 0.617007i | ||||
\(184\) | −1.07825 | − | 0.288916i | −0.0794895 | − | 0.0212991i | ||||
\(185\) | 3.62911 | + | 13.5440i | 0.266818 | + | 0.995777i | ||||
\(186\) | −0.0650729 | + | 0.494278i | −0.00477138 | + | 0.0362422i | ||||
\(187\) | 0.858305 | + | 1.48663i | 0.0627654 | + | 0.108713i | ||||
\(188\) | 5.07761 | + | 12.2584i | 0.370323 | + | 0.894038i | ||||
\(189\) | −13.5684 | + | 1.83951i | −0.986956 | + | 0.133805i | ||||
\(190\) | 0.260092 | + | 0.627917i | 0.0188690 | + | 0.0455539i | ||||
\(191\) | −17.1248 | − | 13.1403i | −1.23911 | − | 0.950802i | −0.239312 | − | 0.970943i | \(-0.576922\pi\) |
−0.999797 | + | 0.0201404i | \(0.993589\pi\) | |||||||
\(192\) | 8.40279 | + | 10.9507i | 0.606419 | + | 0.790301i | ||||
\(193\) | −2.73318 | − | 3.56194i | −0.196738 | − | 0.256394i | 0.684558 | − | 0.728958i | \(-0.259995\pi\) |
−0.881296 | + | 0.472564i | \(0.843329\pi\) | |||||||
\(194\) | −0.0703550 | − | 0.534399i | −0.00505119 | − | 0.0383676i | ||||
\(195\) | −22.7254 | −1.62740 | ||||||||
\(196\) | 7.08398 | + | 12.0544i | 0.505999 | + | 0.861028i | ||||
\(197\) | −16.2037 | + | 16.2037i | −1.15447 | + | 1.15447i | −0.168819 | + | 0.985647i | \(0.553995\pi\) |
−0.985647 | + | 0.168819i | \(0.946005\pi\) | |||||||
\(198\) | −0.000225329 | − | 0.00171154i | −1.60134e−5 | − | 0.000121634i | ||||
\(199\) | −18.7207 | − | 2.46462i | −1.32707 | − | 0.174713i | −0.566553 | − | 0.824026i | \(-0.691723\pi\) |
−0.760521 | + | 0.649313i | \(0.775057\pi\) | |||||||
\(200\) | −0.0738822 | − | 0.275732i | −0.00522426 | − | 0.0194972i | ||||
\(201\) | −1.99014 | + | 1.14901i | −0.140374 | + | 0.0810449i | ||||
\(202\) | −0.0558886 | + | 0.134927i | −0.00393231 | + | 0.00949344i | ||||
\(203\) | 5.40618 | + | 4.11532i | 0.379439 | + | 0.288839i | ||||
\(204\) | 4.19959i | 0.294030i | ||||||||
\(205\) | 0.754104 | − | 16.1825i | 0.0526689 | − | 1.13024i | ||||
\(206\) | −0.521093 | − | 0.300853i | −0.0363063 | − | 0.0209615i | ||||
\(207\) | −0.0338283 | − | 0.126249i | −0.00235123 | − | 0.00877490i | ||||
\(208\) | 2.68639 | + | 20.4051i | 0.186267 | + | 1.41484i | ||||
\(209\) | 7.48274 | 0.517592 | ||||||||
\(210\) | −0.0751734 | + | 0.588507i | −0.00518746 | + | 0.0406108i | ||||
\(211\) | −4.53580 | − | 10.9504i | −0.312257 | − | 0.753855i | −0.999621 | − | 0.0275418i | \(-0.991232\pi\) |
0.687364 | − | 0.726314i | \(-0.258768\pi\) | |||||||
\(212\) | 15.0517 | − | 1.98160i | 1.03376 | − | 0.136097i | ||||
\(213\) | −1.32721 | − | 4.95320i | −0.0909386 | − | 0.339387i | ||||
\(214\) | −0.0306907 | + | 0.00822354i | −0.00209797 | + | 0.000562150i | ||||
\(215\) | −6.61357 | + | 3.81835i | −0.451042 | + | 0.260409i | ||||
\(216\) | −0.403518 | + | 0.974178i | −0.0274559 | + | 0.0662844i | ||||
\(217\) | −10.5636 | − | 10.4825i | −0.717104 | − | 0.711601i | ||||
\(218\) | 0.206006 | − | 0.497342i | 0.0139525 | − | 0.0336843i | ||||
\(219\) | −11.7442 | + | 15.3053i | −0.793598 | + | 1.03424i | ||||
\(220\) | −7.11329 | − | 0.936482i | −0.479578 | − | 0.0631376i | ||||
\(221\) | −3.12275 | + | 5.40876i | −0.210059 | + | 0.363832i | ||||
\(222\) | −0.389705 | − | 0.299032i | −0.0261553 | − | 0.0200697i | ||||
\(223\) | 20.0814i | 1.34475i | 0.740211 | + | 0.672374i | \(0.234725\pi\) | ||||
−0.740211 | + | 0.672374i | \(0.765275\pi\) | |||||||
\(224\) | 1.61542 | − | 0.00622244i | 0.107935 | − | 0.000415754i | ||||
\(225\) | 0.0236340 | − | 0.0236340i | 0.00157560 | − | 0.00157560i | ||||
\(226\) | −0.237385 | + | 0.885934i | −0.0157906 | + | 0.0589314i | ||||
\(227\) | −25.2765 | − | 3.32772i | −1.67766 | − | 0.220869i | −0.769252 | − | 0.638946i | \(-0.779371\pi\) |
−0.908411 | + | 0.418077i | \(0.862704\pi\) | |||||||
\(228\) | 15.8536 | + | 9.15306i | 1.04993 | + | 0.606176i | ||||
\(229\) | 7.84580 | − | 10.2248i | 0.518465 | − | 0.675676i | −0.458594 | − | 0.888646i | \(-0.651647\pi\) |
0.977059 | + | 0.212969i | \(0.0683135\pi\) | |||||||
\(230\) | 0.706517 | 0.0465864 | ||||||||
\(231\) | 5.66934 | + | 3.24414i | 0.373015 | + | 0.213449i | ||||
\(232\) | 0.483393 | − | 0.200228i | 0.0317363 | − | 0.0131456i | ||||
\(233\) | −2.51278 | − | 19.0865i | −0.164618 | − | 1.25040i | −0.851783 | − | 0.523895i | \(-0.824478\pi\) |
0.687165 | − | 0.726501i | \(-0.258855\pi\) | |||||||
\(234\) | 0.00498288 | − | 0.00382350i | 0.000325741 | − | 0.000249950i | ||||
\(235\) | −10.2312 | − | 13.3336i | −0.667410 | − | 0.869786i | ||||
\(236\) | 2.90969 | + | 5.03974i | 0.189405 | + | 0.328059i | ||||
\(237\) | 8.65146 | + | 8.65146i | 0.561973 | + | 0.561973i | ||||
\(238\) | 0.129738 | + | 0.0987595i | 0.00840964 | + | 0.00640163i | ||||
\(239\) | −21.5105 | − | 8.90996i | −1.39140 | − | 0.576337i | −0.443896 | − | 0.896078i | \(-0.646404\pi\) |
−0.947505 | + | 0.319741i | \(0.896404\pi\) | |||||||
\(240\) | −13.9071 | − | 10.6713i | −0.897702 | − | 0.688831i | ||||
\(241\) | 10.3658 | − | 2.77750i | 0.667717 | − | 0.178914i | 0.0909908 | − | 0.995852i | \(-0.470997\pi\) |
0.576726 | + | 0.816937i | \(0.304330\pi\) | |||||||
\(242\) | −0.228963 | + | 0.396576i | −0.0147183 | + | 0.0254929i | ||||
\(243\) | −0.245792 | + | 0.0323591i | −0.0157676 | + | 0.00207584i | ||||
\(244\) | 7.33788 | − | 7.33788i | 0.469759 | − | 0.469759i | ||||
\(245\) | −12.6191 | − | 12.4262i | −0.806206 | − | 0.793879i | ||||
\(246\) | 0.324153 | + | 0.465840i | 0.0206672 | + | 0.0297009i | ||||
\(247\) | 13.6121 | + | 23.5769i | 0.866119 | + | 1.50016i | ||||
\(248\) | −1.10699 | + | 0.296617i | −0.0702940 | + | 0.0188352i | ||||
\(249\) | −16.0809 | − | 20.9571i | −1.01909 | − | 1.32810i | ||||
\(250\) | −0.232050 | − | 0.401923i | −0.0146761 | − | 0.0254198i | ||||
\(251\) | −2.32154 | + | 2.32154i | −0.146534 | + | 0.146534i | −0.776568 | − | 0.630034i | \(-0.783041\pi\) |
0.630034 | + | 0.776568i | \(0.283041\pi\) | |||||||
\(252\) | 0.0634551 | + | 0.108936i | 0.00399730 | + | 0.00686234i | ||||
\(253\) | 2.97671 | − | 7.18641i | 0.187144 | − | 0.451806i | ||||
\(254\) | −0.235725 | + | 0.879737i | −0.0147907 | + | 0.0551996i | ||||
\(255\) | −1.37678 | − | 5.13820i | −0.0862171 | − | 0.321767i | ||||
\(256\) | −7.89629 | + | 13.6768i | −0.493518 | + | 0.854798i | ||||
\(257\) | 19.0755 | − | 2.51133i | 1.18989 | − | 0.156653i | 0.490534 | − | 0.871422i | \(-0.336802\pi\) |
0.699360 | + | 0.714769i | \(0.253468\pi\) | |||||||
\(258\) | 0.102379 | − | 0.247165i | 0.00637383 | − | 0.0153878i | ||||
\(259\) | 14.1488 | − | 3.84963i | 0.879164 | − | 0.239205i | ||||
\(260\) | −9.98934 | − | 24.1164i | −0.619513 | − | 1.49564i | ||||
\(261\) | 0.0486027 | + | 0.0372941i | 0.00300843 | + | 0.00230845i | ||||
\(262\) | −0.173954 | − | 0.100433i | −0.0107469 | − | 0.00620474i | ||||
\(263\) | −17.3587 | − | 2.28531i | −1.07038 | − | 0.140918i | −0.425315 | − | 0.905045i | \(-0.639837\pi\) |
−0.645066 | + | 0.764127i | \(0.723170\pi\) | |||||||
\(264\) | 0.435623 | − | 0.251507i | 0.0268107 | − | 0.0154792i | ||||
\(265\) | −17.7662 | + | 7.35899i | −1.09137 | + | 0.452059i | ||||
\(266\) | 0.655584 | − | 0.274515i | 0.0401964 | − | 0.0168316i | ||||
\(267\) | 5.35618 | + | 5.35618i | 0.327793 | + | 0.327793i | ||||
\(268\) | −2.09414 | − | 1.60689i | −0.127920 | − | 0.0981563i | ||||
\(269\) | 7.11609 | − | 12.3254i | 0.433876 | − | 0.751495i | −0.563327 | − | 0.826234i | \(-0.690479\pi\) |
0.997203 | + | 0.0747390i | \(0.0238124\pi\) | |||||||
\(270\) | 0.0871101 | − | 0.661667i | 0.00530135 | − | 0.0402678i | ||||
\(271\) | 6.04576 | + | 10.4716i | 0.367254 | + | 0.636102i | 0.989135 | − | 0.147010i | \(-0.0469648\pi\) |
−0.621882 | + | 0.783111i | \(0.713631\pi\) | |||||||
\(272\) | −4.45083 | + | 1.84360i | −0.269871 | + | 0.111784i | ||||
\(273\) | 0.0915393 | + | 23.7647i | 0.00554021 | + | 1.43830i | ||||
\(274\) | −0.788692 | − | 0.326687i | −0.0476466 | − | 0.0197359i | ||||
\(275\) | 1.97212 | − | 0.259635i | 0.118924 | − | 0.0156566i | ||||
\(276\) | 15.0973 | − | 11.5846i | 0.908750 | − | 0.697308i | ||||
\(277\) | −26.6758 | − | 15.4013i | −1.60279 | − | 0.925373i | −0.990925 | − | 0.134414i | \(-0.957085\pi\) |
−0.611868 | − | 0.790960i | \(-0.709582\pi\) | |||||||
\(278\) | 0.257561 | − | 0.961232i | 0.0154475 | − | 0.0576508i | ||||
\(279\) | −0.0948842 | − | 0.0948842i | −0.00568057 | − | 0.00568057i | ||||
\(280\) | −1.31600 | + | 0.358059i | −0.0786460 | + | 0.0213981i | ||||
\(281\) | 1.47882 | − | 0.612545i | 0.0882187 | − | 0.0365414i | −0.338138 | − | 0.941097i | \(-0.609797\pi\) |
0.426356 | + | 0.904555i | \(0.359797\pi\) | |||||||
\(282\) | 0.568708 | + | 0.152385i | 0.0338660 | + | 0.00907438i | ||||
\(283\) | −7.56604 | − | 4.36825i | −0.449754 | − | 0.259666i | 0.257972 | − | 0.966152i | \(-0.416946\pi\) |
−0.707726 | + | 0.706487i | \(0.750279\pi\) | |||||||
\(284\) | 4.67297 | − | 3.58570i | 0.277290 | − | 0.212772i | ||||
\(285\) | −22.3975 | − | 6.00140i | −1.32672 | − | 0.355492i | ||||
\(286\) | 0.373790 | 0.0221026 | ||||||||
\(287\) | −16.9256 | − | 0.723405i | −0.999088 | − | 0.0427013i | ||||
\(288\) | 0.0145659 | 0.000858303 | ||||||||
\(289\) | 15.0086 | + | 4.02155i | 0.882861 | + | 0.236562i | ||||
\(290\) | −0.262724 | + | 0.201595i | −0.0154277 | + | 0.0118381i | ||||
\(291\) | 15.9257 | + | 9.19468i | 0.933579 | + | 0.539002i | ||||
\(292\) | −21.4044 | − | 5.73530i | −1.25260 | − | 0.335633i | ||||
\(293\) | 30.0868 | − | 12.4623i | 1.75769 | − | 0.728058i | 0.760821 | − | 0.648962i | \(-0.224797\pi\) |
0.996867 | − | 0.0790961i | \(-0.0252034\pi\) | |||||||
\(294\) | 0.615723 | + | 0.0762406i | 0.0359097 | + | 0.00444644i | ||||
\(295\) | −5.21222 | − | 5.21222i | −0.303467 | − | 0.303467i | ||||
\(296\) | 0.292256 | − | 1.09071i | 0.0169870 | − | 0.0633965i | ||||
\(297\) | −6.36320 | − | 3.67380i | −0.369230 | − | 0.213175i | ||||
\(298\) | −0.518763 | + | 0.398061i | −0.0300511 | + | 0.0230590i | ||||
\(299\) | 28.0583 | − | 3.69394i | 1.62265 | − | 0.213626i | ||||
\(300\) | 4.49590 | + | 1.86226i | 0.259571 | + | 0.107518i | ||||
\(301\) | 4.01960 | + | 6.90064i | 0.231686 | + | 0.397746i | ||||
\(302\) | −0.274220 | + | 0.113586i | −0.0157796 | + | 0.00653613i | ||||
\(303\) | −2.49129 | − | 4.31504i | −0.143121 | − | 0.247892i | ||||
\(304\) | −2.74102 | + | 20.8201i | −0.157208 | + | 1.19412i | ||||
\(305\) | −6.57227 | + | 11.3835i | −0.376327 | + | 0.651818i | ||||
\(306\) | 0.00116637 | 0.000894986i | 6.66768e−5 | 5.11629e-5i | ||||||
\(307\) | −5.86810 | − | 5.86810i | −0.334910 | − | 0.334910i | 0.519538 | − | 0.854448i | \(-0.326104\pi\) |
−0.854448 | + | 0.519538i | \(0.826104\pi\) | |||||||
\(308\) | −0.950656 | + | 7.44236i | −0.0541686 | + | 0.424068i | ||||
\(309\) | 18.9658 | − | 7.85587i | 1.07892 | − | 0.446905i | ||||
\(310\) | 0.628172 | − | 0.362675i | 0.0356778 | − | 0.0205986i | ||||
\(311\) | −9.25763 | − | 1.21879i | −0.524952 | − | 0.0691113i | −0.136607 | − | 0.990625i | \(-0.543620\pi\) |
−0.388345 | + | 0.921514i | \(0.626953\pi\) | |||||||
\(312\) | 1.58491 | + | 0.915051i | 0.0897281 | + | 0.0518045i | ||||
\(313\) | −8.87640 | − | 6.81110i | −0.501724 | − | 0.384986i | 0.326665 | − | 0.945140i | \(-0.394075\pi\) |
−0.828388 | + | 0.560154i | \(0.810742\pi\) | |||||||
\(314\) | 0.167389 | + | 0.404112i | 0.00944629 | + | 0.0228054i | ||||
\(315\) | −0.113351 | − | 0.112481i | −0.00638658 | − | 0.00633757i | ||||
\(316\) | −5.37810 | + | 12.9839i | −0.302542 | + | 0.730401i | ||||
\(317\) | −2.56882 | + | 0.338191i | −0.144279 | + | 0.0189947i | −0.202320 | − | 0.979320i | \(-0.564848\pi\) |
0.0580406 | + | 0.998314i | \(0.481515\pi\) | |||||||
\(318\) | 0.336832 | − | 0.583411i | 0.0188886 | − | 0.0327161i | ||||
\(319\) | 0.943632 | + | 3.52168i | 0.0528333 | + | 0.197176i | ||||
\(320\) | 5.19778 | − | 19.3984i | 0.290565 | − | 1.08440i | ||||
\(321\) | 0.414832 | − | 1.00149i | 0.0231537 | − | 0.0558979i | ||||
\(322\) | −0.00284589 | − | 0.738827i | −0.000158595 | − | 0.0411732i | ||||
\(323\) | −4.50605 | + | 4.50605i | −0.250723 | + | 0.250723i | ||||
\(324\) | −9.05922 | − | 15.6910i | −0.503290 | − | 0.871723i | ||||
\(325\) | 4.40563 | + | 5.74153i | 0.244381 | + | 0.318483i | ||||
\(326\) | 0.885550 | − | 0.237282i | 0.0490461 | − | 0.0131419i | ||||
\(327\) | 9.18290 | + | 15.9052i | 0.507815 | + | 0.879562i | ||||
\(328\) | −0.704190 | + | 1.09824i | −0.0388824 | + | 0.0606399i | ||||
\(329\) | −13.9021 | + | 10.7528i | −0.766448 | + | 0.592821i | ||||
\(330\) | −0.225119 | + | 0.225119i | −0.0123924 | + | 0.0123924i | ||||
\(331\) | −21.7846 | + | 2.86800i | −1.19739 | + | 0.157640i | −0.702737 | − | 0.711450i | \(-0.748039\pi\) |
−0.494655 | + | 0.869090i | \(0.664705\pi\) | |||||||
\(332\) | 15.1712 | − | 26.2772i | 0.832625 | − | 1.44215i | ||||
\(333\) | 0.127708 | − | 0.0342194i | 0.00699838 | − | 0.00187521i | ||||
\(334\) | 0.772977 | + | 0.593126i | 0.0422954 | + | 0.0324544i | ||||
\(335\) | 3.08897 | + | 1.27949i | 0.168769 | + | 0.0699063i | ||||
\(336\) | −11.1033 | + | 14.5861i | −0.605736 | + | 0.795738i | ||||
\(337\) | 7.14216 | + | 7.14216i | 0.389058 | + | 0.389058i | 0.874351 | − | 0.485293i | \(-0.161287\pi\) |
−0.485293 | + | 0.874351i | \(0.661287\pi\) | |||||||
\(338\) | 0.348672 | + | 0.603918i | 0.0189653 | + | 0.0328488i | ||||
\(339\) | −19.0491 | − | 24.8253i | −1.03461 | − | 1.34832i | ||||
\(340\) | 4.84751 | − | 3.71963i | 0.262893 | − | 0.201725i | ||||
\(341\) | −1.04236 | − | 7.91755i | −0.0564472 | − | 0.428759i | ||||
\(342\) | 0.00592071 | − | 0.00245244i | 0.000320155 | − | 0.000132613i | ||||
\(343\) | −12.9436 | + | 13.2463i | −0.698889 | + | 0.715230i | ||||
\(344\) | 0.614990 | 0.0331580 | ||||||||
\(345\) | −14.6737 | + | 19.1231i | −0.790005 | + | 1.02956i | ||||
\(346\) | 0.649168 | + | 0.374798i | 0.0348995 | + | 0.0201492i | ||||
\(347\) | 16.9063 | + | 2.22576i | 0.907577 | + | 0.119485i | 0.569840 | − | 0.821756i | \(-0.307005\pi\) |
0.337737 | + | 0.941240i | \(0.390338\pi\) | |||||||
\(348\) | −2.30854 | + | 8.61561i | −0.123751 | + | 0.461845i | ||||
\(349\) | 8.78392 | − | 8.78392i | 0.470193 | − | 0.470193i | −0.431784 | − | 0.901977i | \(-0.642116\pi\) |
0.901977 | + | 0.431784i | \(0.142116\pi\) | |||||||
\(350\) | 0.163258 | − | 0.0950976i | 0.00872653 | − | 0.00508318i | ||||
\(351\) | − | 26.7326i | − | 1.42688i | ||||||
\(352\) | 0.687728 | + | 0.527712i | 0.0366560 | + | 0.0281272i | ||||
\(353\) | −7.08375 | + | 12.2694i | −0.377030 | + | 0.653035i | −0.990629 | − | 0.136583i | \(-0.956388\pi\) |
0.613599 | + | 0.789618i | \(0.289721\pi\) | |||||||
\(354\) | 0.256019 | + | 0.0337055i | 0.0136072 | + | 0.00179143i | ||||
\(355\) | −4.54186 | + | 5.91907i | −0.241057 | + | 0.314152i | ||||
\(356\) | −3.32962 | + | 8.03842i | −0.176470 | + | 0.426035i | ||||
\(357\) | −5.36763 | + | 1.46043i | −0.284085 | + | 0.0772944i | ||||
\(358\) | 0.193757 | − | 0.467771i | 0.0102404 | − | 0.0247225i | ||||
\(359\) | −20.5220 | + | 11.8484i | −1.08311 | + | 0.625335i | −0.931734 | − | 0.363141i | \(-0.881704\pi\) |
−0.151378 | + | 0.988476i | \(0.548371\pi\) | |||||||
\(360\) | −0.0118783 | + | 0.00318279i | −0.000626043 | + | 0.000167748i | ||||
\(361\) | 2.27190 | + | 8.47884i | 0.119574 | + | 0.446255i | ||||
\(362\) | 0.125876 | − | 0.0165719i | 0.00661592 | − | 0.000871002i | ||||
\(363\) | −5.97868 | − | 14.4338i | −0.313799 | − | 0.757579i | ||||
\(364\) | −25.1790 | + | 10.5433i | −1.31974 | + | 0.552619i | ||||
\(365\) | 28.0686 | 1.46918 | ||||||||
\(366\) | −0.0601048 | − | 0.456541i | −0.00314173 | − | 0.0238638i | ||||
\(367\) | 4.89862 | + | 18.2819i | 0.255706 | + | 0.954307i | 0.967697 | + | 0.252118i | \(0.0811271\pi\) |
−0.711991 | + | 0.702189i | \(0.752206\pi\) | |||||||
\(368\) | 18.9052 | + | 10.9149i | 0.985503 | + | 0.568980i | ||||
\(369\) | −0.152587 | − | 0.00711054i | −0.00794338 | − | 0.000370160i | ||||
\(370\) | 0.714686i | 0.0371547i | ||||||||
\(371\) | 7.76708 | + | 18.5490i | 0.403247 | + | 0.963015i | ||||
\(372\) | 7.47648 | − | 18.0498i | 0.387637 | − | 0.935840i | ||||
\(373\) | −1.92223 | + | 1.10980i | −0.0995293 | + | 0.0574633i | −0.548938 | − | 0.835863i | \(-0.684968\pi\) |
0.449409 | + | 0.893326i | \(0.351635\pi\) | |||||||
\(374\) | 0.0226453 | + | 0.0845135i | 0.00117096 | + | 0.00437009i | ||||
\(375\) | 15.6982 | + | 2.06671i | 0.810652 | + | 0.106724i | ||||
\(376\) | 0.176661 | + | 1.34187i | 0.00911059 | + | 0.0692018i | ||||
\(377\) | −9.37966 | + | 9.37966i | −0.483077 | + | 0.483077i | ||||
\(378\) | −0.692277 | − | 0.0884285i | −0.0356069 | − | 0.00454827i | ||||
\(379\) | 18.3876 | 0.944507 | 0.472253 | − | 0.881463i | \(-0.343441\pi\) | ||||
0.472253 | + | 0.881463i | \(0.343441\pi\) | |||||||
\(380\) | −3.47647 | − | 26.4064i | −0.178339 | − | 1.35462i | ||||
\(381\) | −18.9159 | − | 24.6516i | −0.969088 | − | 1.26294i | ||||
\(382\) | −0.669758 | − | 0.872845i | −0.0342678 | − | 0.0446586i | ||||
\(383\) | 16.9443 | + | 13.0018i | 0.865811 | + | 0.664360i | 0.943049 | − | 0.332653i | \(-0.107944\pi\) |
−0.0772385 | + | 0.997013i | \(0.524610\pi\) | |||||||
\(384\) | 1.08186 | + | 2.61183i | 0.0552082 | + | 0.133284i | ||||
\(385\) | −1.27674 | − | 9.41739i | −0.0650689 | − | 0.479955i | ||||
\(386\) | −0.0875731 | − | 0.211420i | −0.00445736 | − | 0.0107610i | ||||
\(387\) | 0.0360037 | + | 0.0623602i | 0.00183017 | + | 0.00316995i | ||||
\(388\) | −2.75708 | + | 20.9421i | −0.139970 | + | 1.06317i | ||||
\(389\) | −6.51899 | − | 24.3292i | −0.330526 | − | 1.23354i | −0.908639 | − | 0.417583i | \(-0.862877\pi\) |
0.578113 | − | 0.815957i | \(-0.303789\pi\) | |||||||
\(390\) | −1.11884 | − | 0.299791i | −0.0566545 | − | 0.0151805i | ||||
\(391\) | 2.53505 | + | 6.12015i | 0.128203 | + | 0.309509i | ||||
\(392\) | 0.379735 | + | 1.37474i | 0.0191795 | + | 0.0694348i | ||||
\(393\) | 6.33125 | − | 2.62249i | 0.319369 | − | 0.132287i | ||||
\(394\) | −1.01151 | + | 0.583996i | −0.0509592 | + | 0.0294213i | ||||
\(395\) | 2.32352 | − | 17.6489i | 0.116909 | − | 0.888014i | ||||
\(396\) | −0.00883021 | + | 0.0670721i | −0.000443735 | + | 0.00337050i | ||||
\(397\) | 16.7871 | − | 2.21007i | 0.842521 | − | 0.110920i | 0.303103 | − | 0.952958i | \(-0.401977\pi\) |
0.539419 | + | 0.842038i | \(0.318644\pi\) | |||||||
\(398\) | −0.889159 | − | 0.368302i | −0.0445695 | − | 0.0184613i | ||||
\(399\) | −6.18563 | + | 23.4460i | −0.309669 | + | 1.17377i | ||||
\(400\) | 5.58239i | 0.279120i | ||||||||
\(401\) | 34.7871 | + | 9.32117i | 1.73718 | + | 0.465477i | 0.981818 | − | 0.189826i | \(-0.0607924\pi\) |
0.755366 | + | 0.655303i | \(0.227459\pi\) | |||||||
\(402\) | −0.113138 | + | 0.0303152i | −0.00564281 | + | 0.00151199i | ||||
\(403\) | 23.0507 | − | 17.6874i | 1.14824 | − | 0.881073i | ||||
\(404\) | 3.48406 | − | 4.54052i | 0.173339 | − | 0.225899i | ||||
\(405\) | 16.2280 | + | 16.2280i | 0.806377 | + | 0.806377i | ||||
\(406\) | 0.211872 | + | 0.273926i | 0.0105150 | + | 0.0135947i | ||||
\(407\) | 7.26950 | + | 3.01113i | 0.360336 | + | 0.149256i | ||||
\(408\) | −0.110873 | + | 0.413784i | −0.00548904 | + | 0.0204854i | ||||
\(409\) | 14.4021 | − | 24.9451i | 0.712137 | − | 1.23346i | −0.251917 | − | 0.967749i | \(-0.581061\pi\) |
0.964054 | − | 0.265708i | \(-0.0856058\pi\) | |||||||
\(410\) | 0.250605 | − | 0.786764i | 0.0123765 | − | 0.0388555i | ||||
\(411\) | 25.2227 | − | 14.5624i | 1.24415 | − | 0.718308i | ||||
\(412\) | 16.6734 | + | 16.6734i | 0.821441 | + | 0.821441i | ||||
\(413\) | −5.42959 | + | 5.47158i | −0.267172 | + | 0.269239i | ||||
\(414\) | − | 0.00666184i | − | 0.000327412i | ||||||
\(415\) | −9.94730 | + | 37.1238i | −0.488294 | + | 1.82234i | ||||
\(416\) | −0.411664 | + | 3.12690i | −0.0201835 | + | 0.153309i | ||||
\(417\) | 20.6681 | + | 26.9352i | 1.01212 | + | 1.31902i | ||||
\(418\) | 0.368396 | + | 0.0987115i | 0.0180188 | + | 0.00482814i | ||||
\(419\) | −21.4830 | + | 21.4830i | −1.04951 | + | 1.04951i | −0.0508033 | + | 0.998709i | \(0.516178\pi\) |
−0.998709 | + | 0.0508033i | \(0.983822\pi\) | |||||||
\(420\) | 8.81454 | − | 21.5142i | 0.430106 | − | 1.04979i | ||||
\(421\) | 4.74301 | + | 1.96462i | 0.231160 | + | 0.0957497i | 0.495257 | − | 0.868746i | \(-0.335074\pi\) |
−0.264097 | + | 0.964496i | \(0.585074\pi\) | |||||||
\(422\) | −0.0788537 | − | 0.598954i | −0.00383854 | − | 0.0291566i | ||||
\(423\) | −0.125724 | + | 0.0964714i | −0.00611291 | + | 0.00469060i | ||||
\(424\) | 1.53536 | + | 0.202134i | 0.0745636 | + | 0.00981648i | ||||
\(425\) | −1.03125 | + | 1.34395i | −0.0500229 | + | 0.0651911i | ||||
\(426\) | − | 0.261368i | − | 0.0126633i | ||||||
\(427\) | 11.9306 | + | 6.82698i | 0.577361 | + | 0.330381i | ||||
\(428\) | 1.24514 | 0.0601860 | ||||||||
\(429\) | −7.76326 | + | 10.1173i | −0.374814 | + | 0.488467i | ||||
\(430\) | −0.375976 | + | 0.100742i | −0.0181312 | + | 0.00485823i | ||||
\(431\) | −19.6852 | + | 5.27462i | −0.948201 | + | 0.254070i | −0.699599 | − | 0.714536i | \(-0.746638\pi\) |
−0.248602 | + | 0.968606i | \(0.579971\pi\) | |||||||
\(432\) | 12.5530 | − | 16.3594i | 0.603955 | − | 0.787090i | ||||
\(433\) | 17.8922 | 0.859842 | 0.429921 | − | 0.902866i | \(-0.358541\pi\) | ||||
0.429921 | + | 0.902866i | \(0.358541\pi\) | |||||||
\(434\) | −0.381791 | − | 0.655438i | −0.0183266 | − | 0.0314620i | ||||
\(435\) | − | 11.2980i | − | 0.541699i | ||||||
\(436\) | −12.8423 | + | 16.7364i | −0.615033 | + | 0.801527i | ||||
\(437\) | 28.6289 | + | 3.76907i | 1.36951 | + | 0.180299i | ||||
\(438\) | −0.780104 | + | 0.598595i | −0.0372748 | + | 0.0286020i | ||||
\(439\) | −4.04505 | − | 30.7252i | −0.193060 | − | 1.46643i | −0.763880 | − | 0.645358i | \(-0.776708\pi\) |
0.570821 | − | 0.821075i | \(-0.306625\pi\) | |||||||
\(440\) | −0.676146 | − | 0.280069i | −0.0322340 | − | 0.0133518i | ||||
\(441\) | −0.117168 | + | 0.118987i | −0.00557943 | + | 0.00566606i | ||||
\(442\) | −0.225093 | + | 0.225093i | −0.0107066 | + | 0.0107066i | ||||
\(443\) | −8.70496 | − | 2.33249i | −0.413585 | − | 0.110820i | 0.0460257 | − | 0.998940i | \(-0.485344\pi\) |
−0.459611 | + | 0.888120i | \(0.652011\pi\) | |||||||
\(444\) | 11.7185 | + | 15.2718i | 0.556135 | + | 0.724769i | ||||
\(445\) | 1.43851 | − | 10.9266i | 0.0681920 | − | 0.517969i | ||||
\(446\) | −0.264911 | + | 0.988663i | −0.0125439 | + | 0.0468145i | ||||
\(447\) | − | 22.3086i | − | 1.05516i | ||||||
\(448\) | −20.3064 | − | 5.35734i | −0.959388 | − | 0.253111i | ||||
\(449\) | 7.58619 | + | 7.58619i | 0.358014 | + | 0.358014i | 0.863081 | − | 0.505066i | \(-0.168532\pi\) |
−0.505066 | + | 0.863081i | \(0.668532\pi\) | |||||||
\(450\) | 0.00147535 | 0.000851792i | 6.95485e−5 | 4.01538e-5i | ||||||
\(451\) | −6.94680 | − | 5.86386i | −0.327112 | − | 0.276118i | ||||
\(452\) | 17.9714 | − | 31.1274i | 0.845304 | − | 1.46411i | ||||
\(453\) | 2.62090 | − | 9.78133i | 0.123141 | − | 0.459567i | ||||
\(454\) | −1.20054 | − | 0.497278i | −0.0563440 | − | 0.0233384i | ||||
\(455\) | 27.3501 | − | 21.1543i | 1.28219 | − | 0.991730i | ||||
\(456\) | 1.32040 | + | 1.32040i | 0.0618332 | + | 0.0618332i | ||||
\(457\) | −7.65095 | + | 9.97091i | −0.357896 | + | 0.466419i | −0.937251 | − | 0.348656i | \(-0.886638\pi\) |
0.579355 | + | 0.815076i | \(0.303305\pi\) | |||||||
\(458\) | 0.521155 | − | 0.399897i | 0.0243520 | − | 0.0186859i | ||||
\(459\) | 6.04420 | − | 1.61954i | 0.282119 | − | 0.0755936i | ||||
\(460\) | −26.7437 | − | 7.16595i | −1.24693 | − | 0.334114i | ||||
\(461\) | 9.01574i | 0.419905i | 0.977712 | + | 0.209952i | \(0.0673309\pi\) | ||||
−0.977712 | + | 0.209952i | \(0.932669\pi\) | |||||||
\(462\) | 0.236321 | + | 0.234507i | 0.0109946 | + | 0.0109103i | ||||
\(463\) | 9.70208 | + | 4.01873i | 0.450894 | + | 0.186766i | 0.596562 | − | 0.802567i | \(-0.296533\pi\) |
−0.145668 | + | 0.989334i | \(0.546533\pi\) | |||||||
\(464\) | −10.1445 | + | 1.33555i | −0.470945 | + | 0.0620011i | ||||
\(465\) | −3.23010 | + | 24.5350i | −0.149792 | + | 1.13778i | ||||
\(466\) | 0.128075 | − | 0.972829i | 0.00593297 | − | 0.0450654i | ||||
\(467\) | −17.9784 | + | 10.3798i | −0.831941 | + | 0.480321i | −0.854517 | − | 0.519424i | \(-0.826147\pi\) |
0.0225759 | + | 0.999745i | \(0.492813\pi\) | |||||||
\(468\) | −0.227397 | + | 0.0941908i | −0.0105114 | + | 0.00435397i | ||||
\(469\) | 1.32556 | − | 3.23539i | 0.0612089 | − | 0.149396i | ||||
\(470\) | −0.327816 | − | 0.791418i | −0.0151210 | − | 0.0365054i | ||||
\(471\) | −14.4145 | − | 3.86236i | −0.664186 | − | 0.177968i | ||||
\(472\) | 0.153637 | + | 0.573382i | 0.00707173 | + | 0.0263921i | ||||
\(473\) | −0.559355 | + | 4.24873i | −0.0257192 | + | 0.195357i | ||||
\(474\) | 0.311806 | + | 0.540065i | 0.0143217 | + | 0.0248060i | ||||
\(475\) | 2.82582 | + | 6.82214i | 0.129658 | + | 0.313021i | ||||
\(476\) | −3.90925 | − | 5.05421i | −0.179180 | − | 0.231659i | ||||
\(477\) | 0.0693888 | + | 0.167519i | 0.00317710 | + | 0.00767019i | ||||
\(478\) | −0.941485 | − | 0.722427i | −0.0430625 | − | 0.0330430i | ||||
\(479\) | 3.46628 | + | 4.51734i | 0.158378 | + | 0.206403i | 0.865802 | − | 0.500388i | \(-0.166809\pi\) |
−0.707423 | + | 0.706790i | \(0.750142\pi\) | |||||||
\(480\) | −1.63528 | − | 2.13114i | −0.0746401 | − | 0.0972729i | ||||
\(481\) | 3.73665 | + | 28.3827i | 0.170376 | + | 1.29414i | ||||
\(482\) | 0.546976 | 0.0249141 | ||||||||
\(483\) | 20.0568 | + | 15.2677i | 0.912614 | + | 0.694705i | ||||
\(484\) | 12.6892 | − | 12.6892i | 0.576784 | − | 0.576784i | ||||
\(485\) | −3.49229 | − | 26.5265i | −0.158577 | − | 1.20451i | ||||
\(486\) | −0.0125279 | − | 0.00164933i | −0.000568277 | − | 7.48151e-5i | ||||
\(487\) | −5.02523 | − | 18.7544i | −0.227715 | − | 0.849843i | −0.981299 | − | 0.192491i | \(-0.938343\pi\) |
0.753584 | − | 0.657352i | \(-0.228323\pi\) | |||||||
\(488\) | 0.916725 | − | 0.529271i | 0.0414982 | − | 0.0239590i | ||||
\(489\) | −11.9696 | + | 28.8971i | −0.541283 | + | 1.30677i | ||||
\(490\) | −0.457350 | − | 0.778245i | −0.0206610 | − | 0.0351575i | ||||
\(491\) | − | 8.19828i | − | 0.369983i | −0.982740 | − | 0.184992i | \(-0.940774\pi\) | ||
0.982740 | − | 0.184992i | \(-0.0592258\pi\) | |||||||
\(492\) | −7.54526 | − | 20.9211i | −0.340166 | − | 0.943198i | ||||
\(493\) | −2.68898 | − | 1.55248i | −0.121106 | − | 0.0699203i | ||||
\(494\) | 0.359139 | + | 1.34033i | 0.0161584 | + | 0.0603041i | ||||
\(495\) | −0.0111849 | − | 0.0849576i | −0.000502723 | − | 0.00381856i | ||||
\(496\) | 22.4118 | 1.00632 | ||||||||
\(497\) | 6.20805 | + | 4.72573i | 0.278469 | + | 0.211978i | ||||
\(498\) | −0.515245 | − | 1.24391i | −0.0230887 | − | 0.0557411i | ||||
\(499\) | 16.5471 | − | 2.17847i | 0.740751 | − | 0.0975218i | 0.249299 | − | 0.968426i | \(-0.419800\pi\) |
0.491452 | + | 0.870905i | \(0.336466\pi\) | |||||||
\(500\) | 4.70720 | + | 17.5675i | 0.210512 | + | 0.785643i | ||||
\(501\) | −32.1080 | + | 8.60332i | −1.43448 | + | 0.384368i | ||||
\(502\) | −0.144921 | + | 0.0836703i | −0.00646815 | + | 0.00373439i | ||||
\(503\) | 7.63585 | − | 18.4346i | 0.340466 | − | 0.821956i | −0.657203 | − | 0.753713i | \(-0.728261\pi\) |
0.997669 | − | 0.0682430i | \(-0.0217393\pi\) | |||||||
\(504\) | 0.00337619 | + | 0.0124087i | 0.000150387 | + | 0.000552728i | ||||
\(505\) | −2.77421 | + | 6.69752i | −0.123451 | + | 0.298036i | ||||
\(506\) | 0.241354 | − | 0.314539i | 0.0107295 | − | 0.0139830i | ||||
\(507\) | −23.5877 | − | 3.10538i | −1.04757 | − | 0.137915i | ||||
\(508\) | 17.8457 | − | 30.9097i | 0.791775 | − | 1.37139i | ||||
\(509\) | −14.6956 | − | 11.2763i | −0.651369 | − | 0.499813i | 0.229416 | − | 0.973328i | \(-0.426318\pi\) |
−0.880786 | + | 0.473515i | \(0.842985\pi\) | |||||||
\(510\) | − | 0.271130i | − | 0.0120058i | ||||||
\(511\) | −0.113062 | − | 29.3522i | −0.00500156 | − | 1.29846i | ||||
\(512\) | −2.86831 | + | 2.86831i | −0.126763 | + | 0.126763i | ||||
\(513\) | 7.05961 | − | 26.3468i | 0.311689 | − | 1.16324i | ||||
\(514\) | 0.972268 | + | 0.128001i | 0.0428849 | + | 0.00564590i | ||||
\(515\) | −25.8661 | − | 14.9338i | −1.13980 | − | 0.658061i | ||||
\(516\) | −6.38223 | + | 8.31749i | −0.280962 | + | 0.366157i | ||||
\(517\) | −9.43115 | −0.414781 | ||||||||
\(518\) | 0.747369 | − | 0.00287879i | 0.0328375 | − | 0.000126487i | ||||
\(519\) | −23.6272 | + | 9.78670i | −1.03712 | + | 0.429588i | ||||
\(520\) | −0.347551 | − | 2.63991i | −0.0152411 | − | 0.115768i | ||||
\(521\) | −23.6416 | + | 18.1408i | −1.03576 | + | 0.794765i | −0.979049 | − | 0.203626i | \(-0.934727\pi\) |
−0.0567088 | + | 0.998391i | \(0.518061\pi\) | |||||||
\(522\) | 0.00190086 | + | 0.00247726i | 8.31986e−5 | + | 0.000108427i | ||||
\(523\) | −8.21649 | − | 14.2314i | −0.359282 | − | 0.622294i | 0.628559 | − | 0.777762i | \(-0.283645\pi\) |
−0.987841 | + | 0.155467i | \(0.950312\pi\) | |||||||
\(524\) | 5.56601 | + | 5.56601i | 0.243152 | + | 0.243152i | ||||
\(525\) | −0.816739 | + | 6.39397i | −0.0356454 | + | 0.279056i | ||||
\(526\) | −0.824468 | − | 0.341506i | −0.0359485 | − | 0.0148904i | ||||
\(527\) | 5.39559 | + | 4.14018i | 0.235036 | + | 0.180349i | ||||
\(528\) | −9.50167 | + | 2.54597i | −0.413507 | + | 0.110799i | ||||
\(529\) | 3.50868 | − | 6.07720i | 0.152551 | − | 0.264226i | ||||
\(530\) | −0.971757 | + | 0.127934i | −0.0422104 | + | 0.00555711i | ||||
\(531\) | −0.0491467 | + | 0.0491467i | −0.00213278 | + | 0.00213278i | ||||
\(532\) | −27.6000 | + | 3.74182i | −1.19661 | + | 0.162229i | ||||
\(533\) | 5.83889 | − | 32.5554i | 0.252911 | − | 1.41013i | ||||
\(534\) | 0.193042 | + | 0.334358i | 0.00835373 | + | 0.0144691i | ||||
\(535\) | −1.52343 | + | 0.408201i | −0.0658635 | + | 0.0176481i | ||||
\(536\) | −0.163911 | − | 0.213613i | −0.00707989 | − | 0.00922669i | ||||
\(537\) | 8.63690 | + | 14.9596i | 0.372710 | + | 0.645552i | ||||
\(538\) | 0.512941 | − | 0.512941i | 0.0221144 | − | 0.0221144i | ||||
\(539\) | −9.84291 | + | 1.37307i | −0.423964 | + | 0.0591421i | ||||
\(540\) | −10.0084 | + | 24.1625i | −0.430694 | + | 1.03979i | ||||
\(541\) | −6.96996 | + | 26.0122i | −0.299662 | + | 1.11835i | 0.637782 | + | 0.770217i | \(0.279852\pi\) |
−0.937444 | + | 0.348137i | \(0.886815\pi\) | |||||||
\(542\) | 0.159510 | + | 0.595299i | 0.00685154 | + | 0.0255703i | ||||
\(543\) | −2.16579 | + | 3.75125i | −0.0929428 | + | 0.160982i | ||||
\(544\) | −0.731929 | + | 0.0963602i | −0.0313812 | + | 0.00413141i | ||||
\(545\) | 10.2257 | − | 24.6871i | 0.438022 | − | 1.05748i | ||||
\(546\) | −0.308995 | + | 1.17121i | −0.0132237 | + | 0.0501232i | ||||
\(547\) | 11.5996 | + | 28.0040i | 0.495964 | + | 1.19736i | 0.951640 | + | 0.307217i | \(0.0993977\pi\) |
−0.455676 | + | 0.890146i | \(0.650602\pi\) | |||||||
\(548\) | 26.5408 | + | 20.3654i | 1.13377 | + | 0.869969i | ||||
\(549\) | 0.107337 | + | 0.0619708i | 0.00458102 | + | 0.00264485i | ||||
\(550\) | 0.100518 | + | 0.0132335i | 0.00428612 | + | 0.000564278i | ||||
\(551\) | −11.7213 | + | 6.76731i | −0.499345 | + | 0.288297i | ||||
\(552\) | 1.79337 | − | 0.742839i | 0.0763310 | − | 0.0316173i | ||||
\(553\) | −18.4654 | − | 2.35869i | −0.785228 | − | 0.100302i | ||||
\(554\) | −1.11015 | − | 1.11015i | −0.0471659 | − | 0.0471659i | ||||
\(555\) | −19.3442 | − | 14.8434i | −0.821117 | − | 0.630065i | ||||
\(556\) | −19.4989 | + | 33.7730i | −0.826935 | + | 1.43229i | ||||
\(557\) | −5.81118 | + | 44.1403i | −0.246227 | + | 1.87028i | 0.206239 | + | 0.978502i | \(0.433878\pi\) |
−0.452466 | + | 0.891782i | \(0.649456\pi\) | |||||||
\(558\) | −0.00341971 | − | 0.00592312i | −0.000144768 | − | 0.000250746i | ||||
\(559\) | −14.4046 | + | 5.96658i | −0.609249 | + | 0.252359i | ||||
\(560\) | 26.6708 | − | 0.102733i | 1.12705 | − | 0.00434128i | ||||
\(561\) | −2.75783 | − | 1.14233i | −0.116436 | − | 0.0482292i | ||||
\(562\) | 0.0808868 | − | 0.0106490i | 0.00341201 | − | 0.000449199i | ||||
\(563\) | −4.85046 | + | 3.72189i | −0.204422 | + | 0.156859i | −0.705899 | − | 0.708312i | \(-0.749457\pi\) |
0.501477 | + | 0.865171i | \(0.332790\pi\) | |||||||
\(564\) | −19.9816 | − | 11.5364i | −0.841378 | − | 0.485770i | ||||
\(565\) | −11.7834 | + | 43.9761i | −0.495729 | + | 1.85009i | ||||
\(566\) | −0.314872 | − | 0.314872i | −0.0132350 | − | 0.0132350i | ||||
\(567\) | 16.9048 | − | 17.0355i | 0.709935 | − | 0.715425i | ||||
\(568\) | 0.555092 | − | 0.229927i | 0.0232912 | − | 0.00964751i | ||||
\(569\) | −28.6173 | − | 7.66799i | −1.19970 | − | 0.321459i | −0.396987 | − | 0.917824i | \(-0.629944\pi\) |
−0.802713 | + | 0.596365i | \(0.796611\pi\) | |||||||
\(570\) | −1.02352 | − | 0.590931i | −0.0428707 | − | 0.0247514i | ||||
\(571\) | −0.261238 | + | 0.200455i | −0.0109325 | + | 0.00838879i | −0.614213 | − | 0.789140i | \(-0.710527\pi\) |
0.603281 | + | 0.797529i | \(0.293860\pi\) | |||||||
\(572\) | −14.1490 | − | 3.79121i | −0.591600 | − | 0.158519i | ||||
\(573\) | 37.5353 | 1.56806 | ||||||||
\(574\) | −0.823753 | − | 0.258896i | −0.0343828 | − | 0.0108061i | ||||
\(575\) | 7.67611 | 0.320116 | ||||||||
\(576\) | −0.182910 | − | 0.0490105i | −0.00762124 | − | 0.00204210i | ||||
\(577\) | 11.9723 | − | 9.18667i | 0.498413 | − | 0.382446i | −0.328742 | − | 0.944420i | \(-0.606624\pi\) |
0.827155 | + | 0.561974i | \(0.189958\pi\) | |||||||
\(578\) | 0.685865 | + | 0.395985i | 0.0285282 | + | 0.0164708i | ||||
\(579\) | 7.54128 | + | 2.02068i | 0.313405 | + | 0.0839765i | ||||
\(580\) | 11.9895 | − | 4.96623i | 0.497839 | − | 0.206212i | ||||
\(581\) | 38.8616 | + | 10.2527i | 1.61225 | + | 0.425352i | ||||
\(582\) | 0.662770 | + | 0.662770i | 0.0274727 | + | 0.0274727i | ||||
\(583\) | −2.79293 | + | 10.4233i | −0.115671 | + | 0.431691i | ||||
\(584\) | −1.95756 | − | 1.13019i | −0.0810042 | − | 0.0467678i | ||||
\(585\) | 0.247341 | − | 0.189791i | 0.0102263 | − | 0.00784690i | ||||
\(586\) | 1.64566 | − | 0.216655i | 0.0679815 | − | 0.00894993i | ||||
\(587\) | 14.0281 | + | 5.81063i | 0.579001 | + | 0.239830i | 0.652911 | − | 0.757435i | \(-0.273548\pi\) |
−0.0739095 | + | 0.997265i | \(0.523548\pi\) | |||||||
\(588\) | −22.5336 | − | 9.13098i | −0.929269 | − | 0.376555i | ||||
\(589\) | 27.3890 | − | 11.3449i | 1.12855 | − | 0.467459i | ||||
\(590\) | −0.187853 | − | 0.325371i | −0.00773379 | − | 0.0133953i | ||||
\(591\) | 5.20125 | − | 39.5074i | 0.213951 | − | 1.62512i | ||||
\(592\) | −11.0411 | + | 19.1238i | −0.453788 | + | 0.785983i | ||||
\(593\) | −21.9827 | − | 16.8679i | −0.902722 | − | 0.692683i | 0.0492767 | − | 0.998785i | \(-0.484308\pi\) |
−0.951999 | + | 0.306102i | \(0.900975\pi\) | |||||||
\(594\) | −0.264814 | − | 0.264814i | −0.0108654 | − | 0.0108654i | ||||
\(595\) | 6.43992 | + | 4.90223i | 0.264011 | + | 0.200972i | ||||
\(596\) | 23.6740 | − | 9.80611i | 0.969727 | − | 0.401674i | ||||
\(597\) | 28.4357 | − | 16.4174i | 1.16380 | − | 0.671918i | ||||
\(598\) | 1.43012 | + | 0.188278i | 0.0584818 | + | 0.00769928i | ||||
\(599\) | 35.9224 | + | 20.7398i | 1.46775 | + | 0.847407i | 0.999348 | − | 0.0361081i | \(-0.0114961\pi\) |
0.468403 | + | 0.883515i | \(0.344829\pi\) | |||||||
\(600\) | 0.393814 | + | 0.302184i | 0.0160774 | + | 0.0123366i | ||||
\(601\) | 1.46025 | + | 3.52535i | 0.0595647 | + | 0.143802i | 0.950860 | − | 0.309622i | \(-0.100202\pi\) |
−0.891295 | + | 0.453424i | \(0.850202\pi\) | |||||||
\(602\) | 0.106864 | + | 0.392764i | 0.00435545 | + | 0.0160079i | ||||
\(603\) | 0.0120645 | − | 0.0291263i | 0.000491305 | − | 0.00118612i | ||||
\(604\) | 11.5321 | − | 1.51823i | 0.469234 | − | 0.0617758i | ||||
\(605\) | −11.3653 | + | 19.6853i | −0.462065 | + | 0.800321i | ||||
\(606\) | −0.0657296 | − | 0.245306i | −0.00267008 | − | 0.00996488i | ||||
\(607\) | 8.77203 | − | 32.7377i | 0.356046 | − | 1.32878i | −0.523118 | − | 0.852261i | \(-0.675231\pi\) |
0.879163 | − | 0.476520i | \(-0.158102\pi\) | |||||||
\(608\) | −1.23149 | + | 2.97307i | −0.0499433 | + | 0.120574i | ||||
\(609\) | −11.8147 | + | 0.0455090i | −0.478755 | + | 0.00184412i | ||||
\(610\) | −0.473742 | + | 0.473742i | −0.0191812 | + | 0.0191812i | ||||
\(611\) | −17.1565 | − | 29.7160i | −0.694080 | − | 1.20218i | ||||
\(612\) | −0.0350728 | − | 0.0457078i | −0.00141774 | − | 0.00184763i | ||||
\(613\) | 32.2677 | − | 8.64612i | 1.30328 | − | 0.349213i | 0.460592 | − | 0.887612i | \(-0.347637\pi\) |
0.842690 | + | 0.538399i | \(0.180971\pi\) | |||||||
\(614\) | −0.211492 | − | 0.366314i | −0.00853510 | − | 0.0147832i | ||||
\(615\) | 16.0903 | + | 23.1234i | 0.648824 | + | 0.932426i | ||||
\(616\) | −0.290153 | + | 0.708195i | −0.0116906 | + | 0.0285340i | ||||
\(617\) | −21.8903 | + | 21.8903i | −0.881269 | + | 0.881269i | −0.993664 | − | 0.112395i | \(-0.964148\pi\) |
0.112395 | + | 0.993664i | \(0.464148\pi\) | |||||||
\(618\) | 1.03737 | − | 0.136572i | 0.0417292 | − | 0.00549375i | ||||
\(619\) | 6.81888 | − | 11.8106i | 0.274074 | − | 0.474710i | −0.695827 | − | 0.718209i | \(-0.744962\pi\) |
0.969901 | + | 0.243499i | \(0.0782954\pi\) | |||||||
\(620\) | −27.4566 | + | 7.35697i | −1.10268 | + | 0.295463i | ||||
\(621\) | −22.4951 | − | 17.2611i | −0.902696 | − | 0.692663i | ||||
\(622\) | −0.439701 | − | 0.182130i | −0.0176304 | − | 0.00730275i | ||||
\(623\) | −11.4321 | − | 1.46028i | −0.458016 | − | 0.0585050i | ||||
\(624\) | −25.3068 | − | 25.3068i | −1.01308 | − | 1.01308i | ||||
\(625\) | −15.0212 | − | 26.0174i | −0.600846 | − | 1.04070i | ||||
\(626\) | −0.347159 | − | 0.452426i | −0.0138752 | − | 0.0180826i | ||||
\(627\) | −10.3230 | + | 7.92115i | −0.412263 | + | 0.316340i | ||||
\(628\) | −2.23738 | − | 16.9946i | −0.0892810 | − | 0.678157i | ||||
\(629\) | −6.19091 | + | 2.56436i | −0.246848 | + | 0.102248i | ||||
\(630\) | −0.00409673 | − | 0.00703305i | −0.000163218 | − | 0.000280203i | ||||
\(631\) | 22.7530 | 0.905784 | 0.452892 | − | 0.891565i | \(-0.350392\pi\) | ||||
0.452892 | + | 0.891565i | \(0.350392\pi\) | |||||||
\(632\) | −0.872689 | + | 1.13731i | −0.0347137 | + | 0.0452398i | ||||
\(633\) | 17.8495 | + | 10.3054i | 0.709452 | + | 0.409602i | ||||
\(634\) | −0.130931 | − | 0.0172375i | −0.00519995 | − | 0.000684587i | ||||
\(635\) | −11.7009 | + | 43.6684i | −0.464337 | + | 1.73293i | ||||
\(636\) | −18.6674 | + | 18.6674i | −0.740210 | + | 0.740210i | ||||
\(637\) | −22.2319 | − | 28.5156i | −0.880860 | − | 1.12983i | ||||
\(638\) | 0.185831i | 0.00735711i | ||||||||
\(639\) | 0.0558117 | + | 0.0428258i | 0.00220788 | + | 0.00169416i | ||||
\(640\) | 2.05658 | − | 3.56210i | 0.0812934 | − | 0.140804i | ||||
\(641\) | −29.8141 | − | 3.92511i | −1.17759 | − | 0.155032i | −0.483778 | − | 0.875191i | \(-0.660736\pi\) |
−0.693810 | + | 0.720158i | \(0.744069\pi\) | |||||||
\(642\) | 0.0336349 | − | 0.0438339i | 0.00132746 | − | 0.00172998i | ||||
\(643\) | −15.9025 | + | 38.3920i | −0.627134 | + | 1.51403i | 0.216035 | + | 0.976386i | \(0.430687\pi\) |
−0.843169 | + | 0.537649i | \(0.819313\pi\) | |||||||
\(644\) | −7.38593 | + | 27.9956i | −0.291046 | + | 1.10318i | ||||
\(645\) | 5.08189 | − | 12.2688i | 0.200099 | − | 0.483083i | ||||
\(646\) | −0.281289 | + | 0.162402i | −0.0110672 | + | 0.00638962i | ||||
\(647\) | 32.6354 | − | 8.74464i | 1.28303 | − | 0.343787i | 0.448022 | − | 0.894023i | \(-0.352129\pi\) |
0.835010 | + | 0.550235i | \(0.185462\pi\) | |||||||
\(648\) | −0.478344 | − | 1.78520i | −0.0187911 | − | 0.0701294i | ||||
\(649\) | −4.10101 | + | 0.539909i | −0.160979 | + | 0.0211933i | ||||
\(650\) | 0.141160 | + | 0.340790i | 0.00553675 | + | 0.0133669i | ||||
\(651\) | 25.6700 | + | 3.27898i | 1.00609 | + | 0.128514i | ||||
\(652\) | −35.9273 | −1.40702 | ||||||||
\(653\) | 0.699051 | + | 5.30982i | 0.0273560 | + | 0.207789i | 0.999664 | − | 0.0259129i | \(-0.00824925\pi\) |
−0.972308 | + | 0.233702i | \(0.924916\pi\) | |||||||
\(654\) | 0.242279 | + | 0.904199i | 0.00947388 | + | 0.0353570i | ||||
\(655\) | −8.63476 | − | 4.98528i | −0.337388 | − | 0.194791i | ||||
\(656\) | 18.8604 | − | 17.1809i | 0.736376 | − | 0.670802i | ||||
\(657\) | − | 0.264662i | − | 0.0103255i | ||||||
\(658\) | −0.826290 | + | 0.345995i | −0.0322121 | + | 0.0134883i | ||||
\(659\) | 8.46626 | − | 20.4393i | 0.329798 | − | 0.796204i | −0.668808 | − | 0.743435i | \(-0.733195\pi\) |
0.998607 | − | 0.0527690i | \(-0.0168047\pi\) | |||||||
\(660\) | 10.8047 | − | 6.23810i | 0.420573 | − | 0.242818i | ||||
\(661\) | 1.33453 | + | 4.98053i | 0.0519072 | + | 0.193720i | 0.987011 | − | 0.160654i | \(-0.0513605\pi\) |
−0.935104 | + | 0.354375i | \(0.884694\pi\) | |||||||
\(662\) | −1.11035 | − | 0.146181i | −0.0431551 | − | 0.00568147i | ||||
\(663\) | −1.41757 | − | 10.7675i | −0.0550539 | − | 0.418176i | ||||
\(664\) | 2.18855 | − | 2.18855i | 0.0849323 | − | 0.0849323i | ||||
\(665\) | 32.5419 | − | 13.6264i | 1.26192 | − | 0.528409i | ||||
\(666\) | 0.00673886 | 0.000261126 | ||||||||
\(667\) | 1.83645 | + | 13.9492i | 0.0711077 | + | 0.540117i | ||||
\(668\) | −23.2435 | − | 30.2915i | −0.899319 | − | 1.17201i | ||||
\(669\) | −21.2579 | − | 27.7039i | −0.821880 | − | 1.07109i | ||||
\(670\) | 0.135200 | + | 0.103743i | 0.00522323 | + | 0.00400792i | ||||
\(671\) | 2.82274 | + | 6.81469i | 0.108970 | + | 0.263078i | ||||
\(672\) | −2.22201 | + | 1.71865i | −0.0857161 | + | 0.0662984i | ||||
\(673\) | 6.14516 | + | 14.8357i | 0.236879 | + | 0.571875i | 0.996957 | − | 0.0779562i | \(-0.0248394\pi\) |
−0.760078 | + | 0.649832i | \(0.774839\pi\) | |||||||
\(674\) | 0.257410 | + | 0.445847i | 0.00991506 | + | 0.0171734i | ||||
\(675\) | 0.946428 | − | 7.18883i | 0.0364280 | − | 0.276698i | ||||
\(676\) | −7.07292 | − | 26.3965i | −0.272035 | − | 1.01525i | ||||
\(677\) | −5.20033 | − | 1.39342i | −0.199865 | − | 0.0535536i | 0.157498 | − | 0.987519i | \(-0.449657\pi\) |
−0.357363 | + | 0.933966i | \(0.616324\pi\) | |||||||
\(678\) | −0.610348 | − | 1.47351i | −0.0234403 | − | 0.0565899i | ||||
\(679\) | −27.7256 | + | 3.75884i | −1.06401 | + | 0.144251i | ||||
\(680\) | 0.575825 | − | 0.238515i | 0.0220819 | − | 0.00914662i | ||||
\(681\) | 38.3937 | − | 22.1666i | 1.47125 | − | 0.849427i | ||||
\(682\) | 0.0531289 | − | 0.403554i | 0.00203441 | − | 0.0154529i | ||||
\(683\) | −4.95361 | + | 37.6264i | −0.189544 | + | 1.43973i | 0.586957 | + | 0.809618i | \(0.300326\pi\) |
−0.776502 | + | 0.630115i | \(0.783008\pi\) | |||||||
\(684\) | −0.248990 | + | 0.0327801i | −0.00952036 | + | 0.00125338i | ||||
\(685\) | −39.1491 | − | 16.2161i | −1.49581 | − | 0.619586i | ||||
\(686\) | −0.811993 | + | 0.481400i | −0.0310020 | + | 0.0183799i | ||||
\(687\) | 22.4115i | 0.855051i | ||||||||
\(688\) | −11.6168 | − | 3.11273i | −0.442888 | − | 0.118672i | ||||
\(689\) | −37.9230 | + | 10.1614i | −1.44475 | + | 0.387120i | ||||
\(690\) | −0.974698 | + | 0.747912i | −0.0371061 | + | 0.0284725i | ||||
\(691\) | −23.7127 | + | 30.9031i | −0.902075 | + | 1.17561i | 0.0817815 | + | 0.996650i | \(0.473939\pi\) |
−0.983857 | + | 0.178957i | \(0.942728\pi\) | |||||||
\(692\) | −20.7714 | − | 20.7714i | −0.789611 | − | 0.789611i | ||||
\(693\) | −0.0887978 | + | 0.0120386i | −0.00337315 | + | 0.000457308i | ||||
\(694\) | 0.802982 | + | 0.332606i | 0.0304808 | + | 0.0126256i | ||||
\(695\) | 12.7848 | − | 47.7137i | 0.484957 | − | 1.80988i | ||||
\(696\) | −0.454920 | + | 0.787945i | −0.0172437 | + | 0.0298670i | ||||
\(697\) | 7.71448 | − | 0.652136i | 0.292207 | − | 0.0247014i | ||||
\(698\) | 0.548334 | − | 0.316581i | 0.0207547 | − | 0.0119828i | ||||
\(699\) | 23.6713 | + | 23.6713i | 0.895332 | + | 0.895332i | ||||
\(700\) | −7.14434 | + | 1.94384i | −0.270031 | + | 0.0734704i | ||||
\(701\) | − | 38.6763i | − | 1.46078i | −0.683029 | − | 0.730392i | \(-0.739338\pi\) | ||
0.683029 | − | 0.730392i | \(-0.260662\pi\) | |||||||
\(702\) | 0.352653 | − | 1.31612i | 0.0133100 | − | 0.0496737i | ||||
\(703\) | −3.81264 | + | 28.9599i | −0.143797 | + | 1.09224i | ||||
\(704\) | −6.86046 | − | 8.94073i | −0.258563 | − | 0.336966i | ||||
\(705\) | 28.2296 | + | 7.56409i | 1.06319 | + | 0.284880i | ||||
\(706\) | −0.510610 | + | 0.510610i | −0.0192171 | + | 0.0192171i | ||||
\(707\) | 7.01498 | + | 2.87409i | 0.263826 | + | 0.108091i | ||||
\(708\) | −9.34918 | − | 3.87256i | −0.351364 | − | 0.145540i | ||||
\(709\) | −2.74638 | − | 20.8608i | −0.103143 | − | 0.783445i | −0.962349 | − | 0.271817i | \(-0.912376\pi\) |
0.859207 | − | 0.511629i | \(-0.170958\pi\) | |||||||
\(710\) | −0.301692 | + | 0.231497i | −0.0113223 | + | 0.00868792i | ||||
\(711\) | −0.166414 | − | 0.0219088i | −0.00624101 | − | 0.000821645i | ||||
\(712\) | −0.540288 | + | 0.704117i | −0.0202482 | + | 0.0263879i | ||||
\(713\) | − | 30.8175i | − | 1.15413i | ||||||
\(714\) | −0.283529 | + | 0.00109213i | −0.0106108 | + | 4.08718e-5i | ||||
\(715\) | 18.5542 | 0.693888 | ||||||||
\(716\) | −12.0787 | + | 15.7413i | −0.451402 | + | 0.588279i | ||||
\(717\) | 39.1075 | − | 10.4788i | 1.46050 | − | 0.391339i | ||||
\(718\) | −1.16666 | + | 0.312606i | −0.0435394 | + | 0.0116663i | ||||
\(719\) | −6.37755 | + | 8.31139i | −0.237843 | + | 0.309963i | −0.896990 | − | 0.442052i | \(-0.854251\pi\) |
0.659147 | + | 0.752014i | \(0.270917\pi\) | |||||||
\(720\) | 0.240485 | 0.00896235 | ||||||||
\(721\) | −15.5125 | + | 27.1091i | −0.577717 | + | 1.00960i | ||||
\(722\) | 0.447408i | 0.0166508i | ||||||||
\(723\) | −11.3602 | + | 14.8049i | −0.422489 | + | 0.550599i | ||||
\(724\) | −4.93286 | − | 0.649424i | −0.183328 | − | 0.0241356i | ||||
\(725\) | −2.85442 | + | 2.19027i | −0.106010 | + | 0.0813447i | ||||
\(726\) | −0.103938 | − | 0.789487i | −0.00385750 | − | 0.0293006i | ||||
\(727\) | −6.63921 | − | 2.75005i | −0.246235 | − | 0.101994i | 0.256153 | − | 0.966636i | \(-0.417545\pi\) |
−0.502388 | + | 0.864643i | \(0.667545\pi\) | |||||||
\(728\) | −2.75923 | + | 0.374078i | −0.102264 | + | 0.0138643i | ||||
\(729\) | −18.9377 | + | 18.9377i | −0.701395 | + | 0.701395i | ||||
\(730\) | 1.38190 | + | 0.370278i | 0.0511462 | + | 0.0137046i | ||||
\(731\) | −2.22171 | − | 2.89539i | −0.0821729 | − | 0.107090i | ||||
\(732\) | −2.35539 | + | 17.8910i | −0.0870579 | + | 0.661270i | ||||
\(733\) | −9.06913 | + | 33.8465i | −0.334976 | + | 1.25015i | 0.568919 | + | 0.822393i | \(0.307362\pi\) |
−0.903895 | + | 0.427754i | \(0.859305\pi\) | |||||||
\(734\) | 0.964690i | 0.0356074i | ||||||||
\(735\) | 30.5633 | + | 3.78444i | 1.12734 | + | 0.139591i | ||||
\(736\) | 2.36543 | + | 2.36543i | 0.0871910 | + | 0.0871910i | ||||
\(737\) | 1.62485 | − | 0.938110i | 0.0598523 | − | 0.0345557i | ||||
\(738\) | −0.00741850 | − | 0.00236299i | −0.000273079 | − | 8.69827e-5i | ||||
\(739\) | −7.68662 | + | 13.3136i | −0.282757 | + | 0.489749i | −0.972063 | − | 0.234721i | \(-0.924582\pi\) |
0.689306 | + | 0.724470i | \(0.257916\pi\) | |||||||
\(740\) | 7.24880 | − | 27.0529i | 0.266471 | − | 0.994484i | ||||
\(741\) | −43.7373 | − | 18.1166i | −1.60673 | − | 0.665529i | ||||
\(742\) | 0.137699 | + | 1.01568i | 0.00505509 | + | 0.0372868i | ||||
\(743\) | −15.9276 | − | 15.9276i | −0.584327 | − | 0.584327i | 0.351763 | − | 0.936089i | \(-0.385582\pi\) |
−0.936089 | + | 0.351763i | \(0.885582\pi\) | |||||||
\(744\) | 1.21319 | − | 1.58106i | 0.0444776 | − | 0.0579643i | ||||
\(745\) | −25.7504 | + | 19.7590i | −0.943422 | + | 0.723913i | ||||
\(746\) | −0.109277 | + | 0.0292807i | −0.00400092 | + | 0.00107204i | ||||
\(747\) | 0.350045 | + | 0.0937944i | 0.0128075 | + | 0.00343176i | ||||
\(748\) | − | 3.42876i | − | 0.125368i | ||||||
\(749\) | 0.433005 | + | 1.59145i | 0.0158216 | + | 0.0581503i | ||||
\(750\) | 0.745603 | + | 0.308839i | 0.0272256 | + | 0.0112772i | ||||
\(751\) | 6.01564 | − | 0.791974i | 0.219514 | − | 0.0288995i | −0.0199670 | − | 0.999801i | \(-0.506356\pi\) |
0.239481 | + | 0.970901i | \(0.423023\pi\) | |||||||
\(752\) | 3.45475 | − | 26.2414i | 0.125982 | − | 0.956927i | ||||
\(753\) | 0.745193 | − | 5.66031i | 0.0271564 | − | 0.206273i | ||||
\(754\) | −0.585522 | + | 0.338051i | −0.0213235 | + | 0.0123111i | ||||
\(755\) | −13.6118 | + | 5.63818i | −0.495383 | + | 0.205194i | ||||
\(756\) | 25.3077 | + | 10.3688i | 0.920434 | + | 0.377109i | ||||
\(757\) | −16.6137 | − | 40.1091i | −0.603837 | − | 1.45779i | −0.869602 | − | 0.493753i | \(-0.835625\pi\) |
0.265766 | − | 0.964038i | \(-0.414375\pi\) | |||||||
\(758\) | 0.905272 | + | 0.242567i | 0.0328810 | + | 0.00881043i | ||||
\(759\) | 3.50085 | + | 13.0654i | 0.127073 | + | 0.474242i | ||||
\(760\) | 0.354619 | − | 2.69360i | 0.0128634 | − | 0.0977071i | ||||
\(761\) | 18.2905 | + | 31.6800i | 0.663028 | + | 1.14840i | 0.979816 | + | 0.199902i | \(0.0640625\pi\) |
−0.316787 | + | 0.948497i | \(0.602604\pi\) | |||||||
\(762\) | −0.606079 | − | 1.46320i | −0.0219559 | − | 0.0530063i | ||||
\(763\) | −25.8573 | − | 10.5939i | −0.936096 | − | 0.383526i | ||||
\(764\) | 16.4993 | + | 39.8328i | 0.596923 | + | 1.44110i | ||||
\(765\) | 0.0578963 | + | 0.0444254i | 0.00209324 | + | 0.00160620i | ||||
\(766\) | 0.662695 | + | 0.863641i | 0.0239441 | + | 0.0312046i | ||||
\(767\) | −9.16147 | − | 11.9395i | −0.330801 | − | 0.431109i | ||||
\(768\) | −3.58452 | − | 27.2271i | −0.129345 | − | 0.982475i | ||||
\(769\) | 15.1594 | 0.546662 | 0.273331 | − | 0.961920i | \(-0.411875\pi\) | ||||
0.273331 | + | 0.961920i | \(0.411875\pi\) | |||||||
\(770\) | 0.0613754 | − | 0.480487i | 0.00221182 | − | 0.0173156i | ||||
\(771\) | −23.6577 | + | 23.6577i | −0.852010 | + | 0.852010i | ||||
\(772\) | 1.17053 | + | 8.89108i | 0.0421284 | + | 0.319997i | ||||
\(773\) | 2.19359 | + | 0.288791i | 0.0788978 | + | 0.0103871i | 0.169872 | − | 0.985466i | \(-0.445665\pi\) |
−0.0909739 | + | 0.995853i | \(0.528998\pi\) | |||||||
\(774\) | 0.000949913 | 0.00354512i | 3.41439e−5 | 0.000127427i | ||||||
\(775\) | 6.82492 | − | 3.94037i | 0.245158 | − | 0.141542i | ||||
\(776\) | −0.824545 | + | 1.99063i | −0.0295994 | + | 0.0714594i | ||||
\(777\) | −15.4442 | + | 20.2887i | −0.554059 | + | 0.727852i | ||||
\(778\) | − | 1.28379i | − | 0.0460262i | ||||||
\(779\) | 14.3520 | − | 30.5437i | 0.514213 | − | 1.09434i | ||||
\(780\) | 39.3105 | + | 22.6959i | 1.40754 | + | 0.812644i | ||||
\(781\) | 1.08360 | + | 4.04404i | 0.0387742 | + | 0.144707i | ||||
\(782\) | 0.0440713 | + | 0.334754i | 0.00157598 | + | 0.0119708i | ||||
\(783\) | 13.2902 | 0.474952 | ||||||||
\(784\) | −0.214863 | − | 27.8901i | −0.00767368 | − | 0.996075i | ||||
\(785\) | 8.30885 | + | 20.0594i | 0.296556 | + | 0.715949i | ||||
\(786\) | 0.346301 | − | 0.0455914i | 0.0123521 | − | 0.00162619i | ||||
\(787\) | 8.12911 | + | 30.3383i | 0.289771 | + | 1.08144i | 0.945282 | + | 0.326256i | \(0.105787\pi\) |
−0.655510 | + | 0.755186i | \(0.727546\pi\) | |||||||
\(788\) | 44.2118 | − | 11.8465i | 1.57498 | − | 0.422015i | ||||
\(789\) | 26.3669 | − | 15.2229i | 0.938686 | − | 0.541951i | ||||
\(790\) | 0.347216 | − | 0.838254i | 0.0123534 | − | 0.0298237i | ||||
\(791\) | 46.0346 | + | 12.1451i | 1.63680 | + | 0.431829i | ||||
\(792\) | −0.00264080 | + | 0.00637547i | −9.38369e−5 | + | 0.000226542i | ||||
\(793\) | −16.3370 | + | 21.2908i | −0.580145 | + | 0.756059i | ||||
\(794\) | 0.855632 | + | 0.112646i | 0.0303652 | + | 0.00399766i | ||||
\(795\) | 16.7197 | − | 28.9594i | 0.592987 | − | 1.02708i | ||||
\(796\) | 29.9216 | + | 22.9597i | 1.06054 | + | 0.813784i | ||||
\(797\) | 12.2458i | 0.433770i | 0.976197 | + | 0.216885i | \(0.0695896\pi\) | ||||
−0.976197 | + | 0.216885i | \(0.930410\pi\) | |||||||
\(798\) | −0.613833 | + | 1.07271i | −0.0217294 | + | 0.0379735i | ||||
\(799\) | 5.67937 | − | 5.67937i | 0.200921 | − | 0.200921i | ||||
\(800\) | −0.221407 | + | 0.826301i | −0.00782791 | + | 0.0292142i | ||||
\(801\) | −0.103028 | − | 0.0135639i | −0.00364032 | − | 0.000479257i | ||||
\(802\) | 1.58970 | + | 0.917815i | 0.0561343 | + | 0.0324092i | ||||
\(803\) | 9.58854 | − | 12.4960i | 0.338372 | − | 0.440975i | ||||
\(804\) | 4.59007 | 0.161879 | ||||||||
\(805\) | −0.141264 | − | 36.6740i | −0.00497892 | − | 1.29259i | ||||
\(806\) | 1.36818 | − | 0.566719i | 0.0481921 | − | 0.0199618i | ||||
\(807\) | 3.23035 | + | 24.5369i | 0.113714 | + | 0.863741i | ||||
\(808\) | 0.463157 | − | 0.355393i | 0.0162938 | − | 0.0125027i | ||||
\(809\) | −5.30521 | − | 6.91389i | −0.186521 | − | 0.243079i | 0.690728 | − | 0.723115i | \(-0.257290\pi\) |
−0.877249 | + | 0.480036i | \(0.840624\pi\) | |||||||
\(810\) | 0.584873 | + | 1.01303i | 0.0205503 | + | 0.0355942i | ||||
\(811\) | −7.31330 | − | 7.31330i | −0.256805 | − | 0.256805i | 0.566948 | − | 0.823753i | \(-0.308124\pi\) |
−0.823753 | + | 0.566948i | \(0.808124\pi\) | |||||||
\(812\) | −5.24164 | − | 12.5178i | −0.183945 | − | 0.439290i | ||||
\(813\) | −19.4257 | − | 8.04639i | −0.681289 | − | 0.282199i | ||||
\(814\) | 0.318175 | + | 0.244145i | 0.0111520 | + | 0.00855726i | ||||
\(815\) | 43.9570 | − | 11.7782i | 1.53975 | − | 0.412574i | ||||
\(816\) | 4.18867 | − | 7.25499i | 0.146633 | − | 0.253976i | ||||
\(817\) | −15.7724 | + | 2.07648i | −0.551807 | + | 0.0726468i | ||||
\(818\) | 1.03813 | − | 1.03813i | 0.0362973 | − | 0.0362973i | ||||
\(819\) | −0.199467 | − | 0.257887i | −0.00696994 | − | 0.00901132i | ||||
\(820\) | −17.4660 | + | 27.2394i | −0.609938 | + | 0.951243i | ||||
\(821\) | 9.06022 | + | 15.6928i | 0.316204 | + | 0.547681i | 0.979693 | − | 0.200505i | \(-0.0642583\pi\) |
−0.663489 | + | 0.748186i | \(0.730925\pi\) | |||||||
\(822\) | 1.43389 | − | 0.384210i | 0.0500127 | − | 0.0134009i | ||||
\(823\) | 17.1688 | + | 22.3748i | 0.598465 | + | 0.779935i | 0.990127 | − | 0.140174i | \(-0.0447662\pi\) |
−0.391662 | + | 0.920109i | \(0.628100\pi\) | |||||||
\(824\) | 1.20263 | + | 2.08302i | 0.0418957 | + | 0.0725654i | ||||
\(825\) | −2.44586 | + | 2.44586i | −0.0851539 | + | 0.0851539i | ||||
\(826\) | −0.339494 | + | 0.197754i | −0.0118125 | + | 0.00688076i | ||||
\(827\) | 8.42610 | − | 20.3424i | 0.293004 | − | 0.707375i | −0.706996 | − | 0.707218i | \(-0.749950\pi\) |
1.00000 | 0.000156926i | \(-4.99511e-5\pi\) | ||||||||
\(828\) | −0.0675687 | + | 0.252170i | −0.00234817 | + | 0.00876350i | ||||
\(829\) | −0.746195 | − | 2.78484i | −0.0259164 | − | 0.0967214i | 0.951756 | − | 0.306855i | \(-0.0992767\pi\) |
−0.977673 | + | 0.210134i | \(0.932610\pi\) | |||||||
\(830\) | −0.979467 | + | 1.69649i | −0.0339978 | + | 0.0588859i | ||||
\(831\) | 53.1051 | − | 6.99141i | 1.84219 | − | 0.242529i | ||||
\(832\) | 15.6907 | − | 37.8806i | 0.543976 | − | 1.31327i | ||||
\(833\) | 5.10048 | − | 6.75418i | 0.176721 | − | 0.234018i | ||||
\(834\) | 0.662223 | + | 1.59875i | 0.0229309 | + | 0.0553601i | ||||
\(835\) | 38.3691 | + | 29.4416i | 1.32782 | + | 1.01887i | ||||
\(836\) | −12.9437 | − | 7.47302i | −0.447666 | − | 0.258460i | ||||
\(837\) | −28.8612 | − | 3.79965i | −0.997589 | − | 0.131335i | ||||
\(838\) | −1.34107 | + | 0.774266i | −0.0463264 | + | 0.0267466i | ||||
\(839\) | 13.7455 | − | 5.69358i | 0.474548 | − | 0.196564i | −0.132573 | − | 0.991173i | \(-0.542324\pi\) |
0.607122 | + | 0.794609i | \(0.292324\pi\) | |||||||
\(840\) | 1.43649 | − | 1.88707i | 0.0495636 | − | 0.0651103i | ||||
\(841\) | 15.8430 | + | 15.8430i | 0.546309 | + | 0.546309i | ||||
\(842\) | 0.207595 | + | 0.159293i | 0.00715418 | + | 0.00548960i | ||||
\(843\) | −1.39171 | + | 2.41051i | −0.0479331 | + | 0.0830225i | ||||
\(844\) | −3.09013 | + | 23.4719i | −0.106367 | + | 0.807936i | ||||
\(845\) | 17.3074 | + | 29.9774i | 0.595394 | + | 1.03125i | ||||
\(846\) | −0.00746238 | + | 0.00309102i | −0.000256562 | + | 0.000106271i | ||||
\(847\) | 20.6313 | + | 11.8058i | 0.708900 | + | 0.405651i | ||||
\(848\) | −27.9790 | − | 11.5893i | −0.960804 | − | 0.397978i | ||||
\(849\) | 15.0621 | − | 1.98297i | 0.516931 | − | 0.0680553i | ||||
\(850\) | −0.0685005 | + | 0.0525622i | −0.00234955 | + | 0.00180287i | ||||
\(851\) | 26.2963 | + | 15.1822i | 0.901427 | + | 0.520439i | ||||
\(852\) | −2.65096 | + | 9.89353i | −0.0908205 | + | 0.338947i | ||||
\(853\) | −14.2125 | − | 14.2125i | −0.486626 | − | 0.486626i | 0.420613 | − | 0.907240i | \(-0.361815\pi\) |
−0.907240 | + | 0.420613i | \(0.861815\pi\) | |||||||
\(854\) | 0.497314 | + | 0.493498i | 0.0170178 | + | 0.0168872i | ||||
\(855\) | 0.293893 | − | 0.121734i | 0.0100509 | − | 0.00416322i | ||||
\(856\) | 0.122683 | + | 0.0328728i | 0.00419322 | + | 0.00112357i | ||||
\(857\) | −32.2184 | − | 18.6013i | −1.10056 | − | 0.635409i | −0.164192 | − | 0.986428i | \(-0.552502\pi\) |
−0.936368 | + | 0.351020i | \(0.885835\pi\) | |||||||
\(858\) | −0.515673 | + | 0.395690i | −0.0176048 | + | 0.0135086i | ||||
\(859\) | −22.9238 | − | 6.14242i | −0.782151 | − | 0.209577i | −0.154418 | − | 0.988006i | \(-0.549350\pi\) |
−0.627733 | + | 0.778429i | \(0.716017\pi\) | |||||||
\(860\) | 15.2535 | 0.520142 | ||||||||
\(861\) | 24.1161 | − | 16.9193i | 0.821873 | − | 0.576608i | ||||
\(862\) | −1.03874 | −0.0353795 | ||||||||
\(863\) | −7.64224 | − | 2.04773i | −0.260145 | − | 0.0697056i | 0.126389 | − | 0.991981i | \(-0.459661\pi\) |
−0.386534 | + | 0.922275i | \(0.626328\pi\) | |||||||
\(864\) | 2.50692 | − | 1.92363i | 0.0852872 | − | 0.0654431i | ||||
\(865\) | 32.2235 | + | 18.6042i | 1.09563 | + | 0.632563i | ||||
\(866\) | 0.880881 | + | 0.236031i | 0.0299336 | + | 0.00802067i | ||||
\(867\) | −24.9628 | + | 10.3399i | −0.847781 | + | 0.351163i | ||||
\(868\) | 7.80401 | + | 28.6826i | 0.264885 | + | 0.973550i | ||||
\(869\) | −7.06349 | − | 7.06349i | −0.239613 | − | 0.239613i | ||||
\(870\) | 0.149042 | − | 0.556233i | 0.00505300 | − | 0.0188581i | ||||
\(871\) | 5.91166 | + | 3.41310i | 0.200309 | + | 0.115648i | ||||
\(872\) | −1.70720 | + | 1.30998i | −0.0578131 | + | 0.0443615i | ||||
\(873\) | −0.250122 | + | 0.0329292i | −0.00846535 | + | 0.00111448i | ||||
\(874\) | 1.35976 | + | 0.563231i | 0.0459946 | + | 0.0190516i | ||||
\(875\) | −20.8166 | + | 12.1256i | −0.703731 | + | 0.409921i | ||||
\(876\) | 35.6005 | − | 14.7462i | 1.20283 | − | 0.498228i | ||||
\(877\) | 17.2735 | + | 29.9186i | 0.583285 | + | 1.01028i | 0.995087 | + | 0.0990059i | \(0.0315663\pi\) |
−0.411802 | + | 0.911273i | \(0.635100\pi\) | |||||||
\(878\) | 0.206174 | − | 1.56605i | 0.00695804 | − | 0.0528516i | ||||
\(879\) | −28.3146 | + | 49.0424i | −0.955028 | + | 1.65416i | ||||
\(880\) | 11.3545 | + | 8.71262i | 0.382760 | + | 0.293702i | ||||
\(881\) | −32.5343 | − | 32.5343i | −1.09611 | − | 1.09611i | −0.994861 | − | 0.101245i | \(-0.967717\pi\) |
−0.101245 | − | 0.994861i | \(-0.532283\pi\) | |||||||
\(882\) | −0.00733817 | + | 0.00431241i | −0.000247089 | + | 0.000145206i | ||||
\(883\) | −39.7385 | + | 16.4602i | −1.33731 | + | 0.553930i | −0.932730 | − | 0.360575i | \(-0.882581\pi\) |
−0.404575 | + | 0.914505i | \(0.632581\pi\) | |||||||
\(884\) | 10.8035 | − | 6.23738i | 0.363360 | − | 0.209786i | ||||
\(885\) | 12.7083 | + | 1.67308i | 0.427184 | + | 0.0562399i | ||||
\(886\) | −0.397800 | − | 0.229670i | −0.0133643 | − | 0.00771590i | ||||
\(887\) | −22.7058 | − | 17.4228i | −0.762386 | − | 0.584999i | 0.152693 | − | 0.988274i | \(-0.451205\pi\) |
−0.915079 | + | 0.403274i | \(0.867872\pi\) | |||||||
\(888\) | 0.751428 | + | 1.81411i | 0.0252163 | + | 0.0608775i | ||||
\(889\) | 45.7126 | + | 12.0601i | 1.53315 | + | 0.404484i | ||||
\(890\) | 0.214964 | − | 0.518969i | 0.00720561 | − | 0.0173959i | ||||
\(891\) | 12.7683 | − | 1.68098i | 0.427755 | − | 0.0563151i | ||||
\(892\) | 20.0553 | − | 34.7368i | 0.671501 | − | 1.16307i | ||||
\(893\) | −9.06150 | − | 33.8180i | −0.303232 | − | 1.13168i | ||||
\(894\) | 0.294293 | − | 1.09831i | 0.00984261 | − | 0.0367331i | ||||
\(895\) | 9.61774 | − | 23.2193i | 0.321485 | − | 0.776135i | ||||
\(896\) | −3.73328 | − | 2.13628i | −0.124720 | − | 0.0713681i | ||||
\(897\) | −34.7983 | + | 34.7983i | −1.16188 | + | 1.16188i | ||||
\(898\) | 0.273413 | + | 0.473566i | 0.00912392 | + | 0.0158031i | ||||
\(899\) | 8.79336 | + | 11.4597i | 0.293275 | + | 0.382203i | ||||
\(900\) | −0.0644855 | + | 0.0172788i | −0.00214952 | + | 0.000575961i | ||||
\(901\) | −4.59498 | − | 7.95873i | −0.153081 | − | 0.265144i | ||||
\(902\) | −0.264655 | − | 0.380336i | −0.00881204 | − | 0.0126638i | ||||
\(903\) | −12.8503 | − | 5.26487i | −0.427632 | − | 0.175204i | ||||
\(904\) | 2.59251 | − | 2.59251i | 0.0862256 | − | 0.0862256i | ||||
\(905\) | 6.24826 | − | 0.822600i | 0.207699 | − | 0.0273441i | ||||
\(906\) | 0.258068 | − | 0.446988i | 0.00857375 | − | 0.0148502i | ||||
\(907\) | 30.4287 | − | 8.15334i | 1.01037 | − | 0.270727i | 0.284585 | − | 0.958651i | \(-0.408144\pi\) |
0.725783 | + | 0.687924i | \(0.241478\pi\) | |||||||
\(908\) | 40.4000 | + | 31.0000i | 1.34072 | + | 1.02877i | ||||
\(909\) | 0.0631518 | + | 0.0261583i | 0.00209461 | + | 0.000867617i | ||||
\(910\) | 1.62559 | − | 0.680688i | 0.0538877 | − | 0.0225646i | ||||
\(911\) | 30.0367 | + | 30.0367i | 0.995160 | + | 0.995160i | 0.999988 | − | 0.00482878i | \(-0.00153705\pi\) |
−0.00482878 | + | 0.999988i | \(0.501537\pi\) | |||||||
\(912\) | −18.2585 | − | 31.6247i | −0.604600 | − | 1.04720i | ||||
\(913\) | 13.1293 | + | 17.1104i | 0.434516 | + | 0.566272i | ||||
\(914\) | −0.508213 | + | 0.389965i | −0.0168102 | + | 0.0128989i | ||||
\(915\) | −2.98349 | − | 22.6618i | −0.0986310 | − | 0.749177i | ||||
\(916\) | −23.7832 | + | 9.85133i | −0.785820 | + | 0.325497i | ||||
\(917\) | −5.17848 | + | 9.04972i | −0.171009 | + | 0.298848i | ||||
\(918\) | 0.318938 | 0.0105265 | ||||||||
\(919\) | −16.8645 | + | 21.9783i | −0.556309 | + | 0.724996i | −0.983849 | − | 0.179000i | \(-0.942714\pi\) |
0.427540 | + | 0.903996i | \(0.359380\pi\) | |||||||
\(920\) | −2.44586 | − | 1.41212i | −0.0806375 | − | 0.0465561i | ||||
\(921\) | 14.3074 | + | 1.88361i | 0.471446 | + | 0.0620670i | ||||
\(922\) | −0.118935 | + | 0.443870i | −0.00391690 | + | 0.0146181i | ||||
\(923\) | −10.7709 | + | 10.7709i | −0.354529 | + | 0.354529i | ||||
\(924\) | −6.56690 | − | 11.2737i | −0.216035 | − | 0.370877i | ||||
\(925\) | 7.76486i | 0.255307i | ||||||||
\(926\) | 0.424646 | + | 0.325842i | 0.0139547 | + | 0.0107078i | ||||
\(927\) | −0.140813 | + | 0.243895i | −0.00462489 | + | 0.00801055i | ||||
\(928\) | −1.55455 | − | 0.204660i | −0.0510305 | − | 0.00671830i | ||||
\(929\) | 14.0787 | − | 18.3478i | 0.461909 | − | 0.601971i | −0.503087 | − | 0.864236i | \(-0.667803\pi\) |
0.964996 | + | 0.262264i | \(0.0844692\pi\) | |||||||
\(930\) | −0.482690 | + | 1.16532i | −0.0158280 | + | 0.0382122i | ||||
\(931\) | −14.3806 | − | 33.9752i | −0.471306 | − | 1.11349i | ||||
\(932\) | −14.7151 | + | 35.5253i | −0.482008 | + | 1.16367i | ||||
\(933\) | 14.0619 | − | 8.11861i | 0.460364 | − | 0.265791i | ||||
\(934\) | −1.02206 | + | 0.273859i | −0.0334427 | + | 0.00896094i | ||||
\(935\) | 1.12407 | + | 4.19509i | 0.0367610 | + | 0.137194i | ||||
\(936\) | −0.0248920 | + | 0.00327710i | −0.000813622 | + | 0.000107115i | ||||
\(937\) | 0.544243 | + | 1.31392i | 0.0177797 | + | 0.0429239i | 0.932520 | − | 0.361118i | \(-0.117605\pi\) |
−0.914740 | + | 0.404042i | \(0.867605\pi\) | |||||||
\(938\) | 0.107942 | − | 0.141801i | 0.00352444 | − | 0.00462995i | ||||
\(939\) | 19.4559 | 0.634918 | ||||||||
\(940\) | 4.38170 | + | 33.2823i | 0.142915 | + | 1.08555i | ||||
\(941\) | −8.71140 | − | 32.5114i | −0.283984 | − | 1.05984i | −0.949579 | − | 0.313528i | \(-0.898489\pi\) |
0.665595 | − | 0.746313i | \(-0.268178\pi\) | |||||||
\(942\) | −0.658715 | − | 0.380309i | −0.0214621 | − | 0.0123911i | ||||
\(943\) | −23.6248 | − | 25.9342i | −0.769328 | − | 0.844534i | ||||
\(944\) | − | 11.6085i | − | 0.377825i | ||||||
\(945\) | −34.3633 | − | 4.38942i | −1.11784 | − | 0.142788i | ||||
\(946\) | −0.0835874 | + | 0.201798i | −0.00271766 | + | 0.00656101i | ||||
\(947\) | −45.2100 | + | 26.1020i | −1.46913 | + | 0.848202i | −0.999401 | − | 0.0346094i | \(-0.988981\pi\) |
−0.469728 | + | 0.882811i | \(0.655648\pi\) | |||||||
\(948\) | −6.32508 | − | 23.6055i | −0.205429 | − | 0.766672i | ||||
\(949\) | 56.8158 | + | 7.47994i | 1.84432 | + | 0.242809i | ||||
\(950\) | 0.0491263 | + | 0.373151i | 0.00159387 | + | 0.0121066i | ||||
\(951\) | 3.18589 | − | 3.18589i | 0.103309 | − | 0.103309i | ||||
\(952\) | −0.251742 | − | 0.601197i | −0.00815899 | − | 0.0194849i | ||||
\(953\) | 11.0887 | 0.359198 | 0.179599 | − | 0.983740i | \(-0.442520\pi\) | ||||
0.179599 | + | 0.983740i | \(0.442520\pi\) | |||||||
\(954\) | 0.00120631 | + | 0.00916282i | 3.90557e−5 | + | 0.000296657i | ||||
\(955\) | −33.2455 | − | 43.3264i | −1.07580 | − | 1.40201i | ||||
\(956\) | 28.3106 | + | 36.8951i | 0.915629 | + | 1.19327i | ||||
\(957\) | −5.02984 | − | 3.85953i | −0.162591 | − | 0.124761i | ||||
\(958\) | 0.111062 | + | 0.268128i | 0.00358826 | + | 0.00866283i | ||||
\(959\) | −16.8000 | + | 41.0048i | −0.542500 | + | 1.32411i | ||||
\(960\) | 13.3642 | + | 32.2639i | 0.431326 | + | 1.04131i | ||||
\(961\) | −0.319511 | − | 0.553409i | −0.0103068 | − | 0.0178519i | ||||
\(962\) | −0.190455 | + | 1.44665i | −0.00614052 | + | 0.0466419i | ||||
\(963\) | 0.00384898 | + | 0.0143646i | 0.000124032 | + | 0.000462892i | ||||
\(964\) | −20.7046 | − | 5.54778i | −0.666850 | − | 0.178682i | ||||
\(965\) | −4.34696 | − | 10.4945i | −0.139934 | − | 0.337830i | ||||
\(966\) | 0.786041 | + | 1.01626i | 0.0252904 | + | 0.0326976i | ||||
\(967\) | 13.9038 | − | 5.75914i | 0.447116 | − | 0.185201i | −0.147753 | − | 0.989024i | \(-0.547204\pi\) |
0.594869 | + | 0.803823i | \(0.297204\pi\) | |||||||
\(968\) | 1.58527 | − | 0.915259i | 0.0509527 | − | 0.0294175i | ||||
\(969\) | 1.44640 | − | 10.9865i | 0.0464651 | − | 0.352938i | ||||
\(970\) | 0.178000 | − | 1.35205i | 0.00571524 | − | 0.0434116i | ||||
\(971\) | 27.3354 | − | 3.59878i | 0.877235 | − | 0.115490i | 0.321560 | − | 0.946889i | \(-0.395793\pi\) |
0.555676 | + | 0.831399i | \(0.312460\pi\) | |||||||
\(972\) | 0.457488 | + | 0.189498i | 0.0146739 | + | 0.00607814i | ||||
\(973\) | −49.9472 | − | 13.1773i | −1.60123 | − | 0.422445i | ||||
\(974\) | − | 0.989624i | − | 0.0317096i | ||||||
\(975\) | −12.1559 | − | 3.25715i | −0.389299 | − | 0.104312i | ||||
\(976\) | −19.9953 | + | 5.35773i | −0.640035 | + | 0.171497i | ||||
\(977\) | −34.1682 | + | 26.2181i | −1.09314 | + | 0.838793i | −0.987813 | − | 0.155645i | \(-0.950254\pi\) |
−0.105323 | + | 0.994438i | \(0.533588\pi\) | |||||||
\(978\) | −0.970503 | + | 1.26478i | −0.0310333 | + | 0.0404433i | ||||
\(979\) | −4.37306 | − | 4.37306i | −0.139764 | − | 0.139764i | ||||
\(980\) | 9.41853 | + | 34.0975i | 0.300864 | + | 1.08921i | ||||
\(981\) | −0.232778 | − | 0.0964198i | −0.00743203 | − | 0.00307845i | ||||
\(982\) | 0.108151 | − | 0.403624i | 0.00345123 | − | 0.0128802i | ||||
\(983\) | −2.84205 | + | 4.92257i | −0.0906473 | + | 0.157006i | −0.907784 | − | 0.419439i | \(-0.862227\pi\) |
0.817136 | + | 0.576444i | \(0.195560\pi\) | |||||||
\(984\) | −0.191094 | − | 2.26055i | −0.00609185 | − | 0.0720638i | ||||
\(985\) | −50.2095 | + | 28.9885i | −1.59981 | + | 0.923649i | ||||
\(986\) | −0.111906 | − | 0.111906i | −0.00356381 | − | 0.00356381i | ||||
\(987\) | 7.79629 | − | 29.5510i | 0.248159 | − | 0.940619i | ||||
\(988\) | − | 54.3778i | − | 1.72999i | ||||||
\(989\) | −4.28018 | + | 15.9738i | −0.136102 | + | 0.507939i | ||||
\(990\) | 0.000570088 | − | 0.00433025i | 1.81186e−5 | − | 0.000137624i | ||||
\(991\) | −24.1398 | − | 31.4595i | −0.766825 | − | 0.999345i | −0.999640 | − | 0.0268243i | \(-0.991461\pi\) |
0.232816 | − | 0.972521i | \(-0.425206\pi\) | |||||||
\(992\) | 3.31738 | + | 0.888888i | 0.105327 | + | 0.0282222i | ||||
\(993\) | 27.0176 | − | 27.0176i | 0.857378 | − | 0.857378i | ||||
\(994\) | 0.243299 | + | 0.314557i | 0.00771696 | + | 0.00997713i | ||||
\(995\) | −44.1361 | − | 18.2818i | −1.39921 | − | 0.579572i | ||||
\(996\) | 6.88695 | + | 52.3116i | 0.218221 | + | 1.65756i | ||||
\(997\) | 29.4065 | − | 22.5644i | 0.931314 | − | 0.714623i | −0.0272111 | − | 0.999630i | \(-0.508663\pi\) |
0.958525 | + | 0.285007i | \(0.0919960\pi\) | |||||||
\(998\) | 0.843400 | + | 0.111036i | 0.0266973 | + | 0.00351477i | ||||
\(999\) | 17.4606 | − | 22.7552i | 0.552430 | − | 0.719941i |
(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 | 287.2.w.a.3.15 | ✓ | 208 | |
7.5 | odd | 6 | inner | 287.2.w.a.208.12 | yes | 208 | |
41.14 | odd | 8 | inner | 287.2.w.a.178.12 | yes | 208 | |
287.96 | even | 24 | inner | 287.2.w.a.96.15 | yes | 208 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
287.2.w.a.3.15 | ✓ | 208 | 1.1 | even | 1 | trivial | |
287.2.w.a.96.15 | yes | 208 | 287.96 | even | 24 | inner | |
287.2.w.a.178.12 | yes | 208 | 41.14 | odd | 8 | inner | |
287.2.w.a.208.12 | yes | 208 | 7.5 | odd | 6 | inner |