Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [95,2,Mod(11,95)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(95, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("95.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 95 = 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 95.e (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.758578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.3518667.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{5} + 7x^{4} - 8x^{3} + 43x^{2} - 42x + 49 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 26.3 | ||
Root | \(-1.25351 - 2.17114i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 95.26 |
Dual form | 95.2.e.b.11.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/95\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.25351 | + | 2.17114i | 0.886365 | + | 1.53523i | 0.844141 | + | 0.536121i | \(0.180111\pi\) |
0.0422238 | + | 0.999108i | \(0.486556\pi\) | |||||||
\(3\) | −0.610938 | − | 1.05818i | −0.352725 | − | 0.610938i | 0.634001 | − | 0.773333i | \(-0.281412\pi\) |
−0.986726 | + | 0.162394i | \(0.948078\pi\) | |||||||
\(4\) | −2.14257 | + | 3.71104i | −1.07129 | + | 1.85552i | ||||
\(5\) | 0.500000 | + | 0.866025i | 0.223607 | + | 0.387298i | ||||
\(6\) | 1.53163 | − | 2.65287i | 0.625287 | − | 1.08303i | ||||
\(7\) | −0.221876 | −0.0838613 | −0.0419307 | − | 0.999121i | \(-0.513351\pi\) | ||||
−0.0419307 | + | 0.999121i | \(0.513351\pi\) | |||||||
\(8\) | −5.72889 | −2.02547 | ||||||||
\(9\) | 0.753509 | − | 1.30512i | 0.251170 | − | 0.435039i | ||||
\(10\) | −1.25351 | + | 2.17114i | −0.396394 | + | 0.686575i | ||||
\(11\) | −0.778124 | −0.234613 | −0.117307 | − | 0.993096i | \(-0.537426\pi\) | ||||
−0.117307 | + | 0.993096i | \(0.537426\pi\) | |||||||
\(12\) | 5.23591 | 1.51148 | ||||||||
\(13\) | 2.50000 | − | 4.33013i | 0.693375 | − | 1.20096i | −0.277350 | − | 0.960769i | \(-0.589456\pi\) |
0.970725 | − | 0.240192i | \(-0.0772105\pi\) | |||||||
\(14\) | −0.278124 | − | 0.481725i | −0.0743317 | − | 0.128746i | ||||
\(15\) | 0.610938 | − | 1.05818i | 0.157744 | − | 0.273220i | ||||
\(16\) | −2.89608 | − | 5.01616i | −0.724020 | − | 1.25404i | ||||
\(17\) | −3.53865 | − | 6.12912i | −0.858249 | − | 1.48653i | −0.873598 | − | 0.486649i | \(-0.838219\pi\) |
0.0153485 | − | 0.999882i | \(-0.495114\pi\) | |||||||
\(18\) | 3.77812 | 0.890512 | ||||||||
\(19\) | 1.33281 | + | 4.15013i | 0.305769 | + | 0.952106i | ||||
\(20\) | −4.28514 | −0.958187 | ||||||||
\(21\) | 0.135553 | + | 0.234784i | 0.0295800 | + | 0.0512341i | ||||
\(22\) | −0.975385 | − | 1.68942i | −0.207953 | − | 0.360185i | ||||
\(23\) | −4.03865 | + | 6.99515i | −0.842117 | + | 1.45859i | 0.0459843 | + | 0.998942i | \(0.485358\pi\) |
−0.888101 | + | 0.459647i | \(0.847976\pi\) | |||||||
\(24\) | 3.50000 | + | 6.06218i | 0.714435 | + | 1.23744i | ||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | 12.5351 | 2.45833 | ||||||||
\(27\) | −5.50702 | −1.05983 | ||||||||
\(28\) | 0.475385 | − | 0.823392i | 0.0898394 | − | 0.155606i | ||||
\(29\) | −0.110938 | + | 0.192150i | −0.0206007 | + | 0.0356814i | −0.876142 | − | 0.482053i | \(-0.839891\pi\) |
0.855541 | + | 0.517735i | \(0.173225\pi\) | |||||||
\(30\) | 3.06327 | 0.559273 | ||||||||
\(31\) | 2.50702 | 0.450274 | 0.225137 | − | 0.974327i | \(-0.427717\pi\) | ||||
0.225137 | + | 0.974327i | \(0.427717\pi\) | |||||||
\(32\) | 1.53163 | − | 2.65287i | 0.270757 | − | 0.468965i | ||||
\(33\) | 0.475385 | + | 0.823392i | 0.0827540 | + | 0.143334i | ||||
\(34\) | 8.87147 | − | 15.3658i | 1.52144 | − | 2.63522i | ||||
\(35\) | −0.110938 | − | 0.192150i | −0.0187520 | − | 0.0324793i | ||||
\(36\) | 3.22889 | + | 5.59261i | 0.538149 | + | 0.932102i | ||||
\(37\) | −1.90466 | −0.313124 | −0.156562 | − | 0.987668i | \(-0.550041\pi\) | ||||
−0.156562 | + | 0.987668i | \(0.550041\pi\) | |||||||
\(38\) | −7.33983 | + | 8.09596i | −1.19068 | + | 1.31334i | ||||
\(39\) | −6.10938 | −0.978284 | ||||||||
\(40\) | −2.86445 | − | 4.96137i | −0.452909 | − | 0.784461i | ||||
\(41\) | 3.61796 | + | 6.26648i | 0.565030 | + | 0.978661i | 0.997047 | + | 0.0767950i | \(0.0244687\pi\) |
−0.432017 | + | 0.901865i | \(0.642198\pi\) | |||||||
\(42\) | −0.339833 | + | 0.588608i | −0.0524374 | + | 0.0908242i | ||||
\(43\) | −3.64959 | − | 6.32128i | −0.556557 | − | 0.963985i | −0.997781 | − | 0.0665881i | \(-0.978789\pi\) |
0.441223 | − | 0.897397i | \(-0.354545\pi\) | |||||||
\(44\) | 1.66719 | − | 2.88765i | 0.251338 | − | 0.435330i | ||||
\(45\) | 1.50702 | 0.224653 | ||||||||
\(46\) | −20.2500 | −2.98569 | ||||||||
\(47\) | 1.39608 | − | 2.41808i | 0.203639 | − | 0.352714i | −0.746059 | − | 0.665880i | \(-0.768056\pi\) |
0.949698 | + | 0.313166i | \(0.101390\pi\) | |||||||
\(48\) | −3.53865 | + | 6.12912i | −0.510760 | + | 0.884663i | ||||
\(49\) | −6.95077 | −0.992967 | ||||||||
\(50\) | −2.50702 | −0.354546 | ||||||||
\(51\) | −4.32379 | + | 7.48903i | −0.605452 | + | 1.04867i | ||||
\(52\) | 10.7129 | + | 18.5552i | 1.48561 | + | 2.57314i | ||||
\(53\) | −2.19024 | + | 3.79361i | −0.300853 | + | 0.521093i | −0.976329 | − | 0.216289i | \(-0.930605\pi\) |
0.675476 | + | 0.737382i | \(0.263938\pi\) | |||||||
\(54\) | −6.90310 | − | 11.9565i | −0.939393 | − | 1.62708i | ||||
\(55\) | −0.389062 | − | 0.673875i | −0.0524611 | − | 0.0908653i | ||||
\(56\) | 1.27111 | 0.169859 | ||||||||
\(57\) | 3.57730 | − | 3.94583i | 0.473825 | − | 0.522637i | ||||
\(58\) | −0.556248 | −0.0730389 | ||||||||
\(59\) | 1.39608 | + | 2.41808i | 0.181754 | + | 0.314808i | 0.942478 | − | 0.334268i | \(-0.108489\pi\) |
−0.760724 | + | 0.649076i | \(0.775156\pi\) | |||||||
\(60\) | 2.61796 | + | 4.53443i | 0.337977 | + | 0.585393i | ||||
\(61\) | 6.29216 | − | 10.8983i | 0.805629 | − | 1.39539i | −0.110237 | − | 0.993905i | \(-0.535161\pi\) |
0.915866 | − | 0.401484i | \(-0.131506\pi\) | |||||||
\(62\) | 3.14257 | + | 5.44309i | 0.399107 | + | 0.691274i | ||||
\(63\) | −0.167186 | + | 0.289574i | −0.0210634 | + | 0.0364829i | ||||
\(64\) | −3.90466 | −0.488082 | ||||||||
\(65\) | 5.00000 | 0.620174 | ||||||||
\(66\) | −1.19180 | + | 2.06426i | −0.146700 | + | 0.254093i | ||||
\(67\) | 5.28514 | − | 9.15414i | 0.645683 | − | 1.11836i | −0.338460 | − | 0.940981i | \(-0.609906\pi\) |
0.984143 | − | 0.177375i | \(-0.0567605\pi\) | |||||||
\(68\) | 30.3273 | 3.67772 | ||||||||
\(69\) | 9.86946 | 1.18814 | ||||||||
\(70\) | 0.278124 | − | 0.481725i | 0.0332422 | − | 0.0575771i | ||||
\(71\) | 4.92070 | + | 8.52289i | 0.583979 | + | 1.01148i | 0.995002 | + | 0.0998563i | \(0.0318383\pi\) |
−0.411023 | + | 0.911625i | \(0.634828\pi\) | |||||||
\(72\) | −4.31678 | + | 7.47687i | −0.508737 | + | 0.881158i | ||||
\(73\) | 7.03865 | + | 12.1913i | 0.823812 | + | 1.42688i | 0.902824 | + | 0.430010i | \(0.141490\pi\) |
−0.0790121 | + | 0.996874i | \(0.525177\pi\) | |||||||
\(74\) | −2.38750 | − | 4.13528i | −0.277542 | − | 0.480716i | ||||
\(75\) | 1.22188 | 0.141090 | ||||||||
\(76\) | −18.2570 | − | 3.94583i | −2.09422 | − | 0.452617i | ||||
\(77\) | 0.172647 | 0.0196750 | ||||||||
\(78\) | −7.65817 | − | 13.2643i | −0.867117 | − | 1.50189i | ||||
\(79\) | −0.792161 | − | 1.37206i | −0.0891251 | − | 0.154369i | 0.818016 | − | 0.575195i | \(-0.195074\pi\) |
−0.907142 | + | 0.420826i | \(0.861740\pi\) | |||||||
\(80\) | 2.89608 | − | 5.01616i | 0.323792 | − | 0.560824i | ||||
\(81\) | 1.10392 | + | 1.91204i | 0.122658 | + | 0.212449i | ||||
\(82\) | −9.07028 | + | 15.7102i | −1.00165 | + | 1.73490i | ||||
\(83\) | −9.52106 | −1.04507 | −0.522536 | − | 0.852617i | \(-0.675014\pi\) | ||||
−0.522536 | + | 0.852617i | \(0.675014\pi\) | |||||||
\(84\) | −1.16172 | −0.126755 | ||||||||
\(85\) | 3.53865 | − | 6.12912i | 0.383821 | − | 0.664797i | ||||
\(86\) | 9.14959 | − | 15.8476i | 0.986626 | − | 1.70889i | ||||
\(87\) | 0.271105 | 0.0290655 | ||||||||
\(88\) | 4.45779 | 0.475202 | ||||||||
\(89\) | −1.57028 | + | 2.71981i | −0.166450 | + | 0.288300i | −0.937169 | − | 0.348875i | \(-0.886564\pi\) |
0.770719 | + | 0.637175i | \(0.219897\pi\) | |||||||
\(90\) | 1.88906 | + | 3.27195i | 0.199125 | + | 0.344894i | ||||
\(91\) | −0.554690 | + | 0.960752i | −0.0581474 | + | 0.100714i | ||||
\(92\) | −17.3062 | − | 29.9752i | −1.80430 | − | 3.12513i | ||||
\(93\) | −1.53163 | − | 2.65287i | −0.158823 | − | 0.275089i | ||||
\(94\) | 7.00000 | 0.721995 | ||||||||
\(95\) | −2.92771 | + | 3.22932i | −0.300377 | + | 0.331321i | ||||
\(96\) | −3.74293 | −0.382011 | ||||||||
\(97\) | 3.18122 | + | 5.51004i | 0.323004 | + | 0.559460i | 0.981106 | − | 0.193469i | \(-0.0619738\pi\) |
−0.658102 | + | 0.752929i | \(0.728641\pi\) | |||||||
\(98\) | −8.71286 | − | 15.0911i | −0.880131 | − | 1.52443i | ||||
\(99\) | −0.586324 | + | 1.01554i | −0.0589277 | + | 0.102066i | ||||
\(100\) | −2.14257 | − | 3.71104i | −0.214257 | − | 0.371104i | ||||
\(101\) | 3.69726 | − | 6.40385i | 0.367891 | − | 0.637206i | −0.621344 | − | 0.783538i | \(-0.713413\pi\) |
0.989236 | + | 0.146331i | \(0.0467465\pi\) | |||||||
\(102\) | −21.6797 | −2.14661 | ||||||||
\(103\) | 12.2038 | 1.20248 | 0.601240 | − | 0.799069i | \(-0.294674\pi\) | ||||
0.601240 | + | 0.799069i | \(0.294674\pi\) | |||||||
\(104\) | −14.3222 | + | 24.8068i | −1.40441 | + | 2.43251i | ||||
\(105\) | −0.135553 | + | 0.234784i | −0.0132286 | + | 0.0229126i | ||||
\(106\) | −10.9820 | −1.06666 | ||||||||
\(107\) | −1.63355 | −0.157921 | −0.0789607 | − | 0.996878i | \(-0.525160\pi\) | ||||
−0.0789607 | + | 0.996878i | \(0.525160\pi\) | |||||||
\(108\) | 11.7992 | − | 20.4368i | 1.13538 | − | 1.96653i | ||||
\(109\) | 3.80820 | + | 6.59600i | 0.364759 | + | 0.631782i | 0.988738 | − | 0.149660i | \(-0.0478179\pi\) |
−0.623978 | + | 0.781442i | \(0.714485\pi\) | |||||||
\(110\) | 0.975385 | − | 1.68942i | 0.0929994 | − | 0.161080i | ||||
\(111\) | 1.16363 | + | 2.01546i | 0.110447 | + | 0.191299i | ||||
\(112\) | 0.642571 | + | 1.11297i | 0.0607173 | + | 0.105165i | ||||
\(113\) | 12.4890 | 1.17486 | 0.587432 | − | 0.809273i | \(-0.300139\pi\) | ||||
0.587432 | + | 0.809273i | \(0.300139\pi\) | |||||||
\(114\) | 13.0511 | + | 2.82070i | 1.22235 | + | 0.264183i | ||||
\(115\) | −8.07730 | −0.753212 | ||||||||
\(116\) | −0.475385 | − | 0.823392i | −0.0441384 | − | 0.0764500i | ||||
\(117\) | −3.76755 | − | 6.52558i | −0.348310 | − | 0.603290i | ||||
\(118\) | −3.50000 | + | 6.06218i | −0.322201 | + | 0.558069i | ||||
\(119\) | 0.785142 | + | 1.35991i | 0.0719739 | + | 0.124662i | ||||
\(120\) | −3.50000 | + | 6.06218i | −0.319505 | + | 0.553399i | ||||
\(121\) | −10.3945 | −0.944957 | ||||||||
\(122\) | 31.5491 | 2.85632 | ||||||||
\(123\) | 4.42070 | − | 7.65687i | 0.398601 | − | 0.690397i | ||||
\(124\) | −5.37147 | + | 9.30365i | −0.482372 | + | 0.835493i | ||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | −0.838276 | −0.0746795 | ||||||||
\(127\) | 6.52106 | − | 11.2948i | 0.578650 | − | 1.00225i | −0.416984 | − | 0.908914i | \(-0.636913\pi\) |
0.995635 | − | 0.0933378i | \(-0.0297536\pi\) | |||||||
\(128\) | −7.95779 | − | 13.7833i | −0.703376 | − | 1.21828i | ||||
\(129\) | −4.45935 | + | 7.72382i | −0.392624 | + | 0.680044i | ||||
\(130\) | 6.26755 | + | 10.8557i | 0.549700 | + | 0.952109i | ||||
\(131\) | −3.55469 | − | 6.15690i | −0.310575 | − | 0.537931i | 0.667912 | − | 0.744240i | \(-0.267188\pi\) |
−0.978487 | + | 0.206309i | \(0.933855\pi\) | |||||||
\(132\) | −4.07419 | −0.354613 | ||||||||
\(133\) | −0.295720 | − | 0.920816i | −0.0256422 | − | 0.0798448i | ||||
\(134\) | 26.4999 | 2.28924 | ||||||||
\(135\) | −2.75351 | − | 4.76922i | −0.236984 | − | 0.410469i | ||||
\(136\) | 20.2726 | + | 35.1131i | 1.73836 | + | 3.01092i | ||||
\(137\) | −2.71286 | + | 4.69880i | −0.231775 | + | 0.401446i | −0.958331 | − | 0.285662i | \(-0.907787\pi\) |
0.726556 | + | 0.687108i | \(0.241120\pi\) | |||||||
\(138\) | 12.3715 | + | 21.4280i | 1.05313 | + | 1.82407i | ||||
\(139\) | −1.78514 | + | 3.09196i | −0.151414 | + | 0.262256i | −0.931747 | − | 0.363107i | \(-0.881716\pi\) |
0.780334 | + | 0.625363i | \(0.215049\pi\) | |||||||
\(140\) | 0.950771 | 0.0803548 | ||||||||
\(141\) | −3.41168 | −0.287315 | ||||||||
\(142\) | −12.3363 | + | 21.3671i | −1.03524 | + | 1.79308i | ||||
\(143\) | −1.94531 | + | 3.36938i | −0.162675 | + | 0.281761i | ||||
\(144\) | −8.72889 | −0.727408 | ||||||||
\(145\) | −0.221876 | −0.0184258 | ||||||||
\(146\) | −17.6460 | + | 30.5638i | −1.46040 | + | 2.52948i | ||||
\(147\) | 4.24649 | + | 7.35514i | 0.350245 | + | 0.606642i | ||||
\(148\) | 4.08086 | − | 7.06826i | 0.335445 | − | 0.581007i | ||||
\(149\) | 0.468367 | + | 0.811235i | 0.0383701 | + | 0.0664590i | 0.884573 | − | 0.466402i | \(-0.154450\pi\) |
−0.846203 | + | 0.532861i | \(0.821117\pi\) | |||||||
\(150\) | 1.53163 | + | 2.65287i | 0.125057 | + | 0.216606i | ||||
\(151\) | −0.971925 | −0.0790942 | −0.0395471 | − | 0.999218i | \(-0.512592\pi\) | ||||
−0.0395471 | + | 0.999218i | \(0.512592\pi\) | |||||||
\(152\) | −7.63555 | − | 23.7757i | −0.619325 | − | 1.92846i | ||||
\(153\) | −10.6656 | −0.862265 | ||||||||
\(154\) | 0.216415 | + | 0.374841i | 0.0174392 | + | 0.0302056i | ||||
\(155\) | 1.25351 | + | 2.17114i | 0.100684 | + | 0.174390i | ||||
\(156\) | 13.0898 | − | 22.6722i | 1.04802 | − | 1.81523i | ||||
\(157\) | −1.35743 | − | 2.35114i | −0.108335 | − | 0.187641i | 0.806761 | − | 0.590878i | \(-0.201218\pi\) |
−0.915096 | + | 0.403237i | \(0.867885\pi\) | |||||||
\(158\) | 1.98596 | − | 3.43979i | 0.157995 | − | 0.273655i | ||||
\(159\) | 5.35241 | 0.424474 | ||||||||
\(160\) | 3.06327 | 0.242172 | ||||||||
\(161\) | 0.896081 | − | 1.55206i | 0.0706210 | − | 0.122319i | ||||
\(162\) | −2.76755 | + | 4.79353i | −0.217439 | + | 0.376615i | ||||
\(163\) | −3.20384 | −0.250944 | −0.125472 | − | 0.992097i | \(-0.540044\pi\) | ||||
−0.125472 | + | 0.992097i | \(0.540044\pi\) | |||||||
\(164\) | −31.0069 | −2.42123 | ||||||||
\(165\) | −0.475385 | + | 0.823392i | −0.0370087 | + | 0.0641010i | ||||
\(166\) | −11.9347 | − | 20.6716i | −0.926315 | − | 1.60442i | ||||
\(167\) | −5.11094 | + | 8.85240i | −0.395496 | + | 0.685020i | −0.993164 | − | 0.116724i | \(-0.962761\pi\) |
0.597668 | + | 0.801744i | \(0.296094\pi\) | |||||||
\(168\) | −0.776567 | − | 1.34505i | −0.0599134 | − | 0.103773i | ||||
\(169\) | −6.00000 | − | 10.3923i | −0.461538 | − | 0.799408i | ||||
\(170\) | 17.7429 | 1.36082 | ||||||||
\(171\) | 6.42070 | + | 1.38769i | 0.491003 | + | 0.106119i | ||||
\(172\) | 31.2780 | 2.38493 | ||||||||
\(173\) | 1.33281 | + | 2.30850i | 0.101332 | + | 0.175512i | 0.912234 | − | 0.409670i | \(-0.134356\pi\) |
−0.810902 | + | 0.585182i | \(0.801023\pi\) | |||||||
\(174\) | 0.339833 | + | 0.588608i | 0.0257627 | + | 0.0446222i | ||||
\(175\) | 0.110938 | − | 0.192150i | 0.00838613 | − | 0.0145252i | ||||
\(176\) | 2.25351 | + | 3.90319i | 0.169865 | + | 0.294214i | ||||
\(177\) | 1.70584 | − | 2.95460i | 0.128219 | − | 0.222081i | ||||
\(178\) | −7.87347 | −0.590141 | ||||||||
\(179\) | −12.9367 | −0.966937 | −0.483468 | − | 0.875362i | \(-0.660623\pi\) | ||||
−0.483468 | + | 0.875362i | \(0.660623\pi\) | |||||||
\(180\) | −3.22889 | + | 5.59261i | −0.240668 | + | 0.416849i | ||||
\(181\) | 9.30620 | − | 16.1188i | 0.691724 | − | 1.19810i | −0.279548 | − | 0.960132i | \(-0.590185\pi\) |
0.971273 | − | 0.237970i | \(-0.0764820\pi\) | |||||||
\(182\) | −2.78124 | −0.206159 | ||||||||
\(183\) | −15.3765 | −1.13666 | ||||||||
\(184\) | 23.1370 | − | 40.0745i | 1.70568 | − | 2.95433i | ||||
\(185\) | −0.952328 | − | 1.64948i | −0.0700166 | − | 0.121272i | ||||
\(186\) | 3.83983 | − | 6.65079i | 0.281550 | − | 0.487659i | ||||
\(187\) | 2.75351 | + | 4.76922i | 0.201357 | + | 0.348760i | ||||
\(188\) | 5.98240 | + | 10.3618i | 0.436312 | + | 0.755714i | ||||
\(189\) | 1.22188 | 0.0888784 | ||||||||
\(190\) | −10.6812 | − | 2.30850i | −0.774897 | − | 0.167476i | ||||
\(191\) | −23.0421 | −1.66727 | −0.833634 | − | 0.552317i | \(-0.813744\pi\) | ||||
−0.833634 | + | 0.552317i | \(0.813744\pi\) | |||||||
\(192\) | 2.38550 | + | 4.13181i | 0.172159 | + | 0.298188i | ||||
\(193\) | 8.53865 | + | 14.7894i | 0.614626 | + | 1.06456i | 0.990450 | + | 0.137872i | \(0.0440262\pi\) |
−0.375824 | + | 0.926691i | \(0.622640\pi\) | |||||||
\(194\) | −7.97539 | + | 13.8138i | −0.572599 | + | 0.991771i | ||||
\(195\) | −3.05469 | − | 5.29088i | −0.218751 | − | 0.378888i | ||||
\(196\) | 14.8925 | − | 25.7946i | 1.06375 | − | 1.84247i | ||||
\(197\) | −8.82024 | −0.628416 | −0.314208 | − | 0.949354i | \(-0.601739\pi\) | ||||
−0.314208 | + | 0.949354i | \(0.601739\pi\) | |||||||
\(198\) | −2.93985 | −0.208926 | ||||||||
\(199\) | 1.42771 | − | 2.47287i | 0.101208 | − | 0.175297i | −0.810975 | − | 0.585081i | \(-0.801063\pi\) |
0.912183 | + | 0.409784i | \(0.134396\pi\) | |||||||
\(200\) | 2.86445 | − | 4.96137i | 0.202547 | − | 0.350822i | ||||
\(201\) | −12.9156 | −0.910995 | ||||||||
\(202\) | 18.5382 | 1.30434 | ||||||||
\(203\) | 0.0246145 | − | 0.0426336i | 0.00172760 | − | 0.00299229i | ||||
\(204\) | −18.5281 | − | 32.0916i | −1.29722 | − | 2.24686i | ||||
\(205\) | −3.61796 | + | 6.26648i | −0.252689 | + | 0.437670i | ||||
\(206\) | 15.2976 | + | 26.4963i | 1.06584 | + | 1.84608i | ||||
\(207\) | 6.08632 | + | 10.5418i | 0.423029 | + | 0.732707i | ||||
\(208\) | −28.9608 | −2.00807 | ||||||||
\(209\) | −1.03709 | − | 3.22932i | −0.0717373 | − | 0.223377i | ||||
\(210\) | −0.679666 | −0.0469014 | ||||||||
\(211\) | 6.44375 | + | 11.1609i | 0.443606 | + | 0.768348i | 0.997954 | − | 0.0639367i | \(-0.0203656\pi\) |
−0.554348 | + | 0.832285i | \(0.687032\pi\) | |||||||
\(212\) | −9.38550 | − | 16.2562i | −0.644599 | − | 1.11648i | ||||
\(213\) | 6.01248 | − | 10.4139i | 0.411968 | − | 0.713550i | ||||
\(214\) | −2.04767 | − | 3.54667i | −0.139976 | − | 0.242445i | ||||
\(215\) | 3.64959 | − | 6.32128i | 0.248900 | − | 0.431107i | ||||
\(216\) | 31.5491 | 2.14665 | ||||||||
\(217\) | −0.556248 | −0.0377606 | ||||||||
\(218\) | −9.54723 | + | 16.5363i | −0.646620 | + | 1.11998i | ||||
\(219\) | 8.60036 | − | 14.8963i | 0.581159 | − | 1.00660i | ||||
\(220\) | 3.33437 | 0.224803 | ||||||||
\(221\) | −35.3865 | −2.38035 | ||||||||
\(222\) | −2.91724 | + | 5.05280i | −0.195792 | + | 0.339122i | ||||
\(223\) | −10.3539 | − | 17.9334i | −0.693346 | − | 1.20091i | −0.970735 | − | 0.240153i | \(-0.922802\pi\) |
0.277389 | − | 0.960758i | \(-0.410531\pi\) | |||||||
\(224\) | −0.339833 | + | 0.588608i | −0.0227060 | + | 0.0393280i | ||||
\(225\) | 0.753509 | + | 1.30512i | 0.0502340 | + | 0.0870078i | ||||
\(226\) | 15.6551 | + | 27.1153i | 1.04136 | + | 1.80369i | ||||
\(227\) | 4.00000 | 0.265489 | 0.132745 | − | 0.991150i | \(-0.457621\pi\) | ||||
0.132745 | + | 0.991150i | \(0.457621\pi\) | |||||||
\(228\) | 6.97850 | + | 21.7297i | 0.462162 | + | 1.43909i | ||||
\(229\) | 3.53910 | 0.233870 | 0.116935 | − | 0.993140i | \(-0.462693\pi\) | ||||
0.116935 | + | 0.993140i | \(0.462693\pi\) | |||||||
\(230\) | −10.1250 | − | 17.5370i | −0.667621 | − | 1.15635i | ||||
\(231\) | −0.105477 | − | 0.182691i | −0.00693986 | − | 0.0120202i | ||||
\(232\) | 0.635553 | − | 1.10081i | 0.0417261 | − | 0.0722717i | ||||
\(233\) | 9.89252 | + | 17.1344i | 0.648081 | + | 1.12251i | 0.983581 | + | 0.180468i | \(0.0577614\pi\) |
−0.335500 | + | 0.942040i | \(0.608905\pi\) | |||||||
\(234\) | 9.44531 | − | 16.3598i | 0.617459 | − | 1.06947i | ||||
\(235\) | 2.79216 | 0.182141 | ||||||||
\(236\) | −11.9648 | −0.778843 | ||||||||
\(237\) | −0.967923 | + | 1.67649i | −0.0628733 | + | 0.108900i | ||||
\(238\) | −1.96837 | + | 3.40931i | −0.127590 | + | 0.220993i | ||||
\(239\) | 23.7741 | 1.53782 | 0.768910 | − | 0.639357i | \(-0.220799\pi\) | ||||
0.768910 | + | 0.639357i | \(0.220799\pi\) | |||||||
\(240\) | −7.07730 | −0.456838 | ||||||||
\(241\) | 2.27111 | − | 3.93367i | 0.146295 | − | 0.253390i | −0.783561 | − | 0.621315i | \(-0.786599\pi\) |
0.929855 | + | 0.367926i | \(0.119932\pi\) | |||||||
\(242\) | −13.0296 | − | 22.5680i | −0.837576 | − | 1.45072i | ||||
\(243\) | −6.91168 | + | 11.9714i | −0.443384 | + | 0.767964i | ||||
\(244\) | 26.9628 | + | 46.7010i | 1.72612 | + | 2.98972i | ||||
\(245\) | −3.47539 | − | 6.01954i | −0.222034 | − | 0.384575i | ||||
\(246\) | 22.1655 | 1.41322 | ||||||||
\(247\) | 21.3026 | + | 4.60408i | 1.35545 | + | 0.292950i | ||||
\(248\) | −14.3624 | −0.912016 | ||||||||
\(249\) | 5.81678 | + | 10.0750i | 0.368623 | + | 0.638474i | ||||
\(250\) | −1.25351 | − | 2.17114i | −0.0792789 | − | 0.137315i | ||||
\(251\) | 9.75151 | − | 16.8901i | 0.615510 | − | 1.06609i | −0.374785 | − | 0.927112i | \(-0.622284\pi\) |
0.990295 | − | 0.138982i | \(-0.0443832\pi\) | |||||||
\(252\) | −0.716415 | − | 1.24087i | −0.0451299 | − | 0.0781673i | ||||
\(253\) | 3.14257 | − | 5.44309i | 0.197572 | − | 0.342204i | ||||
\(254\) | 32.6968 | 2.05158 | ||||||||
\(255\) | −8.64759 | −0.541533 | ||||||||
\(256\) | 16.0457 | − | 27.7919i | 1.00285 | − | 1.73699i | ||||
\(257\) | −0.882043 | + | 1.52774i | −0.0550203 | + | 0.0952980i | −0.892224 | − | 0.451594i | \(-0.850856\pi\) |
0.837203 | + | 0.546892i | \(0.184189\pi\) | |||||||
\(258\) | −22.3593 | −1.39203 | ||||||||
\(259\) | 0.422598 | 0.0262590 | ||||||||
\(260\) | −10.7129 | + | 18.5552i | −0.664383 | + | 1.15075i | ||||
\(261\) | 0.167186 | + | 0.289574i | 0.0103485 | + | 0.0179242i | ||||
\(262\) | 8.91168 | − | 15.4355i | 0.550565 | − | 0.953607i | ||||
\(263\) | 3.23591 | + | 5.60477i | 0.199535 | + | 0.345605i | 0.948378 | − | 0.317143i | \(-0.102724\pi\) |
−0.748843 | + | 0.662748i | \(0.769390\pi\) | |||||||
\(264\) | −2.72343 | − | 4.71713i | −0.167616 | − | 0.290319i | ||||
\(265\) | −4.38049 | −0.269091 | ||||||||
\(266\) | 1.62853 | − | 1.79630i | 0.0998518 | − | 0.110138i | ||||
\(267\) | 3.83739 | 0.234844 | ||||||||
\(268\) | 22.6476 | + | 39.2268i | 1.38342 | + | 2.39616i | ||||
\(269\) | −14.2429 | − | 24.6695i | −0.868407 | − | 1.50412i | −0.863624 | − | 0.504136i | \(-0.831811\pi\) |
−0.00478280 | − | 0.999989i | \(-0.501522\pi\) | |||||||
\(270\) | 6.90310 | − | 11.9565i | 0.420109 | − | 0.727651i | ||||
\(271\) | 0.246491 | + | 0.426934i | 0.0149732 | + | 0.0259344i | 0.873415 | − | 0.486977i | \(-0.161900\pi\) |
−0.858442 | + | 0.512911i | \(0.828567\pi\) | |||||||
\(272\) | −20.4964 | + | 35.5009i | −1.24278 | + | 2.15256i | ||||
\(273\) | 1.35553 | 0.0820402 | ||||||||
\(274\) | −13.6024 | −0.821749 | ||||||||
\(275\) | 0.389062 | − | 0.673875i | 0.0234613 | − | 0.0406362i | ||||
\(276\) | −21.1460 | + | 36.6260i | −1.27284 | + | 2.20463i | ||||
\(277\) | −8.78905 | −0.528083 | −0.264041 | − | 0.964511i | \(-0.585056\pi\) | ||||
−0.264041 | + | 0.964511i | \(0.585056\pi\) | |||||||
\(278\) | −8.95077 | −0.536832 | ||||||||
\(279\) | 1.88906 | − | 3.27195i | 0.113095 | − | 0.195887i | ||||
\(280\) | 0.635553 | + | 1.10081i | 0.0379815 | + | 0.0657859i | ||||
\(281\) | 2.37147 | − | 4.10750i | 0.141470 | − | 0.245033i | −0.786581 | − | 0.617488i | \(-0.788151\pi\) |
0.928050 | + | 0.372455i | \(0.121484\pi\) | |||||||
\(282\) | −4.27657 | − | 7.40723i | −0.254666 | − | 0.441094i | ||||
\(283\) | −8.43473 | − | 14.6094i | −0.501393 | − | 0.868438i | −0.999999 | − | 0.00160901i | \(-0.999488\pi\) |
0.498606 | − | 0.866829i | \(-0.333845\pi\) | |||||||
\(284\) | −42.1718 | −2.50243 | ||||||||
\(285\) | 5.20584 | + | 1.12512i | 0.308367 | + | 0.0666465i | ||||
\(286\) | −9.75385 | −0.576758 | ||||||||
\(287\) | −0.802738 | − | 1.39038i | −0.0473841 | − | 0.0820717i | ||||
\(288\) | −2.30820 | − | 3.99792i | −0.136012 | − | 0.235580i | ||||
\(289\) | −16.5441 | + | 28.6552i | −0.973183 | + | 1.68560i | ||||
\(290\) | −0.278124 | − | 0.481725i | −0.0163320 | − | 0.0282878i | ||||
\(291\) | 3.88706 | − | 6.73259i | 0.227864 | − | 0.394671i | ||||
\(292\) | −60.3233 | −3.53015 | ||||||||
\(293\) | 11.6336 | 0.679639 | 0.339820 | − | 0.940491i | \(-0.389634\pi\) | ||||
0.339820 | + | 0.940491i | \(0.389634\pi\) | |||||||
\(294\) | −10.6460 | + | 18.4395i | −0.620889 | + | 1.07541i | ||||
\(295\) | −1.39608 | + | 2.41808i | −0.0812830 | + | 0.140786i | ||||
\(296\) | 10.9116 | 0.634223 | ||||||||
\(297\) | 4.28514 | 0.248649 | ||||||||
\(298\) | −1.17420 | + | 2.03378i | −0.0680198 | + | 0.117814i | ||||
\(299\) | 20.1933 | + | 34.9758i | 1.16781 | + | 2.02270i | ||||
\(300\) | −2.61796 | + | 4.53443i | −0.151148 | + | 0.261796i | ||||
\(301\) | 0.809757 | + | 1.40254i | 0.0466736 | + | 0.0808411i | ||||
\(302\) | −1.21832 | − | 2.11019i | −0.0701063 | − | 0.121428i | ||||
\(303\) | −9.03519 | −0.519058 | ||||||||
\(304\) | 16.9578 | − | 18.7047i | 0.972596 | − | 1.07279i | ||||
\(305\) | 12.5843 | 0.720576 | ||||||||
\(306\) | −13.3695 | − | 23.1566i | −0.764281 | − | 1.32377i | ||||
\(307\) | −2.94531 | − | 5.10143i | −0.168098 | − | 0.291154i | 0.769653 | − | 0.638462i | \(-0.220429\pi\) |
−0.937751 | + | 0.347308i | \(0.887096\pi\) | |||||||
\(308\) | −0.369909 | + | 0.640701i | −0.0210775 | + | 0.0365073i | ||||
\(309\) | −7.45579 | − | 12.9138i | −0.424145 | − | 0.734641i | ||||
\(310\) | −3.14257 | + | 5.44309i | −0.178486 | + | 0.309147i | ||||
\(311\) | 14.8202 | 0.840378 | 0.420189 | − | 0.907437i | \(-0.361964\pi\) | ||||
0.420189 | + | 0.907437i | \(0.361964\pi\) | |||||||
\(312\) | 35.0000 | 1.98148 | ||||||||
\(313\) | 2.94731 | − | 5.10489i | 0.166592 | − | 0.288546i | −0.770628 | − | 0.637286i | \(-0.780057\pi\) |
0.937219 | + | 0.348740i | \(0.113390\pi\) | |||||||
\(314\) | 3.40310 | − | 5.89434i | 0.192048 | − | 0.332637i | ||||
\(315\) | −0.334372 | −0.0188397 | ||||||||
\(316\) | 6.78905 | 0.381914 | ||||||||
\(317\) | 2.07930 | − | 3.60146i | 0.116785 | − | 0.202278i | −0.801707 | − | 0.597718i | \(-0.796074\pi\) |
0.918492 | + | 0.395439i | \(0.129408\pi\) | |||||||
\(318\) | 6.70930 | + | 11.6208i | 0.376239 | + | 0.651665i | ||||
\(319\) | 0.0863236 | − | 0.149517i | 0.00483319 | − | 0.00837133i | ||||
\(320\) | −1.95233 | − | 3.38153i | −0.109138 | − | 0.189033i | ||||
\(321\) | 0.997999 | + | 1.72858i | 0.0557029 | + | 0.0964802i | ||||
\(322\) | 4.49298 | 0.250384 | ||||||||
\(323\) | 20.7203 | − | 22.8549i | 1.15291 | − | 1.27168i | ||||
\(324\) | −9.46090 | −0.525606 | ||||||||
\(325\) | 2.50000 | + | 4.33013i | 0.138675 | + | 0.240192i | ||||
\(326\) | −4.01604 | − | 6.95598i | −0.222428 | − | 0.385256i | ||||
\(327\) | 4.65315 | − | 8.05949i | 0.257320 | − | 0.445691i | ||||
\(328\) | −20.7269 | − | 35.9000i | −1.14445 | − | 1.98225i | ||||
\(329\) | −0.309757 | + | 0.536515i | −0.0170775 | + | 0.0295790i | ||||
\(330\) | −2.38360 | −0.131213 | ||||||||
\(331\) | 10.6797 | 0.587008 | 0.293504 | − | 0.955958i | \(-0.405179\pi\) | ||||
0.293504 | + | 0.955958i | \(0.405179\pi\) | |||||||
\(332\) | 20.3995 | − | 35.3330i | 1.11957 | − | 1.93915i | ||||
\(333\) | −1.43518 | + | 2.48580i | −0.0786472 | + | 0.136221i | ||||
\(334\) | −25.6264 | −1.40222 | ||||||||
\(335\) | 10.5703 | 0.577516 | ||||||||
\(336\) | 0.785142 | − | 1.35991i | 0.0428330 | − | 0.0741890i | ||||
\(337\) | 13.1726 | + | 22.8157i | 0.717560 | + | 1.24285i | 0.961964 | + | 0.273177i | \(0.0880743\pi\) |
−0.244404 | + | 0.969673i | \(0.578592\pi\) | |||||||
\(338\) | 15.0421 | − | 26.0537i | 0.818183 | − | 1.41713i | ||||
\(339\) | −7.62999 | − | 13.2155i | −0.414404 | − | 0.717769i | ||||
\(340\) | 15.1636 | + | 26.2642i | 0.822363 | + | 1.42437i | ||||
\(341\) | −1.95077 | −0.105640 | ||||||||
\(342\) | 5.03554 | + | 15.6797i | 0.272291 | + | 0.847862i | ||||
\(343\) | 3.09534 | 0.167133 | ||||||||
\(344\) | 20.9081 | + | 36.2139i | 1.12729 | + | 1.95252i | ||||
\(345\) | 4.93473 | + | 8.54721i | 0.265677 | + | 0.460166i | ||||
\(346\) | −3.34139 | + | 5.78746i | −0.179634 | + | 0.311136i | ||||
\(347\) | 8.44175 | + | 14.6215i | 0.453177 | + | 0.784925i | 0.998581 | − | 0.0532476i | \(-0.0169572\pi\) |
−0.545404 | + | 0.838173i | \(0.683624\pi\) | |||||||
\(348\) | −0.580862 | + | 1.00608i | −0.0311375 | + | 0.0539317i | ||||
\(349\) | 4.61640 | 0.247110 | 0.123555 | − | 0.992338i | \(-0.460570\pi\) | ||||
0.123555 | + | 0.992338i | \(0.460570\pi\) | |||||||
\(350\) | 0.556248 | 0.0297327 | ||||||||
\(351\) | −13.7675 | + | 23.8461i | −0.734857 | + | 1.27281i | ||||
\(352\) | −1.19180 | + | 2.06426i | −0.0635232 | + | 0.110025i | ||||
\(353\) | −24.9508 | −1.32800 | −0.663998 | − | 0.747735i | \(-0.731142\pi\) | ||||
−0.663998 | + | 0.747735i | \(0.731142\pi\) | |||||||
\(354\) | 8.55313 | 0.454594 | ||||||||
\(355\) | −4.92070 | + | 8.52289i | −0.261163 | + | 0.452348i | ||||
\(356\) | −6.72889 | − | 11.6548i | −0.356631 | − | 0.617703i | ||||
\(357\) | 0.959347 | − | 1.66164i | 0.0507740 | − | 0.0879432i | ||||
\(358\) | −16.2163 | − | 28.0875i | −0.857059 | − | 1.48447i | ||||
\(359\) | −5.90110 | − | 10.2210i | −0.311448 | − | 0.539444i | 0.667228 | − | 0.744854i | \(-0.267481\pi\) |
−0.978676 | + | 0.205410i | \(0.934147\pi\) | |||||||
\(360\) | −8.63355 | −0.455028 | ||||||||
\(361\) | −15.4472 | + | 11.0627i | −0.813011 | + | 0.582248i | ||||
\(362\) | 46.6616 | 2.45248 | ||||||||
\(363\) | 6.35041 | + | 10.9992i | 0.333310 | + | 0.577310i | ||||
\(364\) | −2.37693 | − | 4.11696i | −0.124585 | − | 0.215787i | ||||
\(365\) | −7.03865 | + | 12.1913i | −0.368420 | + | 0.638122i | ||||
\(366\) | −19.2746 | − | 33.3845i | −1.00750 | − | 1.74504i | ||||
\(367\) | −13.1164 | + | 22.7183i | −0.684670 | + | 1.18588i | 0.288870 | + | 0.957368i | \(0.406721\pi\) |
−0.973540 | + | 0.228516i | \(0.926613\pi\) | |||||||
\(368\) | 46.7850 | 2.43884 | ||||||||
\(369\) | 10.9047 | 0.567674 | ||||||||
\(370\) | 2.38750 | − | 4.13528i | 0.124120 | − | 0.214983i | ||||
\(371\) | 0.485963 | − | 0.841712i | 0.0252299 | − | 0.0436995i | ||||
\(372\) | 13.1265 | 0.680579 | ||||||||
\(373\) | 11.9960 | 0.621129 | 0.310565 | − | 0.950552i | \(-0.399482\pi\) | ||||
0.310565 | + | 0.950552i | \(0.399482\pi\) | |||||||
\(374\) | −6.90310 | + | 11.9565i | −0.356951 | + | 0.618257i | ||||
\(375\) | 0.610938 | + | 1.05818i | 0.0315487 | + | 0.0546440i | ||||
\(376\) | −7.99800 | + | 13.8529i | −0.412465 | + | 0.714411i | ||||
\(377\) | 0.554690 | + | 0.960752i | 0.0285680 | + | 0.0494812i | ||||
\(378\) | 1.53163 | + | 2.65287i | 0.0787787 | + | 0.136449i | ||||
\(379\) | 0.313217 | 0.0160889 | 0.00804444 | − | 0.999968i | \(-0.497439\pi\) | ||||
0.00804444 | + | 0.999968i | \(0.497439\pi\) | |||||||
\(380\) | −5.71130 | − | 17.7839i | −0.292983 | − | 0.912295i | ||||
\(381\) | −15.9358 | −0.816418 | ||||||||
\(382\) | −28.8835 | − | 50.0277i | −1.47781 | − | 2.55964i | ||||
\(383\) | −15.0441 | − | 26.0572i | −0.768718 | − | 1.33146i | −0.938258 | − | 0.345936i | \(-0.887561\pi\) |
0.169540 | − | 0.985523i | \(-0.445772\pi\) | |||||||
\(384\) | −9.72343 | + | 16.8415i | −0.496197 | + | 0.859438i | ||||
\(385\) | 0.0863236 | + | 0.149517i | 0.00439946 | + | 0.00762008i | ||||
\(386\) | −21.4066 | + | 37.0772i | −1.08957 | + | 1.88718i | ||||
\(387\) | −11.0000 | −0.559161 | ||||||||
\(388\) | −27.2640 | −1.38412 | ||||||||
\(389\) | 17.8609 | − | 30.9360i | 0.905583 | − | 1.56852i | 0.0854503 | − | 0.996342i | \(-0.472767\pi\) |
0.820133 | − | 0.572173i | \(-0.193900\pi\) | |||||||
\(390\) | 7.65817 | − | 13.2643i | 0.387786 | − | 0.671666i | ||||
\(391\) | 57.1655 | 2.89099 | ||||||||
\(392\) | 39.8202 | 2.01123 | ||||||||
\(393\) | −4.34339 | + | 7.52297i | −0.219095 | + | 0.379484i | ||||
\(394\) | −11.0562 | − | 19.1500i | −0.557006 | − | 0.964762i | ||||
\(395\) | 0.792161 | − | 1.37206i | 0.0398580 | − | 0.0690360i | ||||
\(396\) | −2.51248 | − | 4.35174i | −0.126257 | − | 0.218683i | ||||
\(397\) | −4.77657 | − | 8.27326i | −0.239729 | − | 0.415223i | 0.720907 | − | 0.693031i | \(-0.243725\pi\) |
−0.960636 | + | 0.277809i | \(0.910392\pi\) | |||||||
\(398\) | 7.15861 | 0.358829 | ||||||||
\(399\) | −0.793718 | + | 0.875485i | −0.0397356 | + | 0.0438291i | ||||
\(400\) | 5.79216 | 0.289608 | ||||||||
\(401\) | −15.4418 | − | 26.7459i | −0.771124 | − | 1.33563i | −0.936947 | − | 0.349471i | \(-0.886361\pi\) |
0.165823 | − | 0.986156i | \(-0.446972\pi\) | |||||||
\(402\) | −16.1898 | − | 28.0416i | −0.807474 | − | 1.39859i | ||||
\(403\) | 6.26755 | − | 10.8557i | 0.312209 | − | 0.540761i | ||||
\(404\) | 15.8433 | + | 27.4414i | 0.788233 | + | 1.36526i | ||||
\(405\) | −1.10392 | + | 1.91204i | −0.0548542 | + | 0.0950103i | ||||
\(406\) | 0.123418 | 0.00612514 | ||||||||
\(407\) | 1.48206 | 0.0734629 | ||||||||
\(408\) | 24.7706 | − | 42.9039i | 1.22633 | − | 2.12406i | ||||
\(409\) | −15.7816 | + | 27.3345i | −0.780349 | + | 1.35160i | 0.151389 | + | 0.988474i | \(0.451625\pi\) |
−0.931738 | + | 0.363130i | \(0.881708\pi\) | |||||||
\(410\) | −18.1406 | −0.895899 | ||||||||
\(411\) | 6.62955 | 0.327012 | ||||||||
\(412\) | −26.1476 | + | 45.2890i | −1.28820 | + | 2.23123i | ||||
\(413\) | −0.309757 | − | 0.536515i | −0.0152421 | − | 0.0264002i | ||||
\(414\) | −15.2585 | + | 26.4285i | −0.749916 | + | 1.29889i | ||||
\(415\) | −4.76053 | − | 8.24548i | −0.233685 | − | 0.404755i | ||||
\(416\) | −7.65817 | − | 13.2643i | −0.375472 | − | 0.650337i | ||||
\(417\) | 4.36245 | 0.213630 | ||||||||
\(418\) | 5.71130 | − | 6.29966i | 0.279349 | − | 0.308126i | ||||
\(419\) | −26.5070 | −1.29495 | −0.647476 | − | 0.762086i | \(-0.724176\pi\) | ||||
−0.647476 | + | 0.762086i | \(0.724176\pi\) | |||||||
\(420\) | −0.580862 | − | 1.00608i | −0.0283432 | − | 0.0490918i | ||||
\(421\) | 10.1180 | + | 17.5248i | 0.493119 | + | 0.854107i | 0.999969 | − | 0.00792731i | \(-0.00252337\pi\) |
−0.506850 | + | 0.862035i | \(0.669190\pi\) | |||||||
\(422\) | −16.1546 | + | 27.9806i | −0.786394 | + | 1.36207i | ||||
\(423\) | −2.10392 | − | 3.64410i | −0.102296 | − | 0.177182i | ||||
\(424\) | 12.5477 | − | 21.7332i | 0.609369 | − | 1.05546i | ||||
\(425\) | 7.07730 | 0.343300 | ||||||||
\(426\) | 30.1468 | 1.46062 | ||||||||
\(427\) | −1.39608 | + | 2.41808i | −0.0675611 | + | 0.117019i | ||||
\(428\) | 3.50000 | − | 6.06218i | 0.169179 | − | 0.293026i | ||||
\(429\) | 4.75385 | 0.229518 | ||||||||
\(430\) | 18.2992 | 0.882465 | ||||||||
\(431\) | 5.73045 | − | 9.92543i | 0.276026 | − | 0.478091i | −0.694367 | − | 0.719621i | \(-0.744316\pi\) |
0.970394 | + | 0.241529i | \(0.0776490\pi\) | |||||||
\(432\) | 15.9488 | + | 27.6241i | 0.767336 | + | 1.32906i | ||||
\(433\) | −12.9734 | + | 22.4706i | −0.623461 | + | 1.07987i | 0.365375 | + | 0.930860i | \(0.380941\pi\) |
−0.988836 | + | 0.149006i | \(0.952393\pi\) | |||||||
\(434\) | −0.697262 | − | 1.20769i | −0.0334696 | − | 0.0579711i | ||||
\(435\) | 0.135553 | + | 0.234784i | 0.00649925 | + | 0.0112570i | ||||
\(436\) | −32.6374 | −1.56305 | ||||||||
\(437\) | −34.4136 | − | 7.43771i | −1.64622 | − | 0.355794i | ||||
\(438\) | 43.1225 | 2.06047 | ||||||||
\(439\) | −12.6562 | − | 21.9211i | −0.604046 | − | 1.04624i | −0.992202 | − | 0.124644i | \(-0.960221\pi\) |
0.388156 | − | 0.921594i | \(-0.373112\pi\) | |||||||
\(440\) | 2.22889 | + | 3.86056i | 0.106258 | + | 0.184045i | ||||
\(441\) | −5.23747 | + | 9.07157i | −0.249403 | + | 0.431979i | ||||
\(442\) | −44.3573 | − | 76.8291i | −2.10986 | − | 3.65439i | ||||
\(443\) | −10.0125 | + | 17.3421i | −0.475707 | + | 0.823949i | −0.999613 | − | 0.0278272i | \(-0.991141\pi\) |
0.523905 | + | 0.851776i | \(0.324475\pi\) | |||||||
\(444\) | −9.97262 | −0.473279 | ||||||||
\(445\) | −3.14057 | −0.148877 | ||||||||
\(446\) | 25.9573 | − | 44.9594i | 1.22912 | − | 2.12889i | ||||
\(447\) | 0.572286 | − | 0.991229i | 0.0270682 | − | 0.0468835i | ||||
\(448\) | 0.866350 | 0.0409312 | ||||||||
\(449\) | 19.7601 | 0.932536 | 0.466268 | − | 0.884644i | \(-0.345598\pi\) | ||||
0.466268 | + | 0.884644i | \(0.345598\pi\) | |||||||
\(450\) | −1.88906 | + | 3.27195i | −0.0890512 | + | 0.154241i | ||||
\(451\) | −2.81522 | − | 4.87610i | −0.132563 | − | 0.229607i | ||||
\(452\) | −26.7585 | + | 46.3471i | −1.25862 | + | 2.17999i | ||||
\(453\) | 0.593786 | + | 1.02847i | 0.0278985 | + | 0.0483216i | ||||
\(454\) | 5.01404 | + | 8.68457i | 0.235320 | + | 0.407587i | ||||
\(455\) | −1.10938 | −0.0520086 | ||||||||
\(456\) | −20.4940 | + | 22.6052i | −0.959719 | + | 1.05859i | ||||
\(457\) | −34.4647 | −1.61219 | −0.806096 | − | 0.591785i | \(-0.798423\pi\) | ||||
−0.806096 | + | 0.591785i | \(0.798423\pi\) | |||||||
\(458\) | 4.43629 | + | 7.68388i | 0.207294 | + | 0.359044i | ||||
\(459\) | 19.4874 | + | 33.7532i | 0.909595 | + | 1.57546i | ||||
\(460\) | 17.3062 | − | 29.9752i | 0.806906 | − | 1.39760i | ||||
\(461\) | 3.96637 | + | 6.86995i | 0.184732 | + | 0.319965i | 0.943486 | − | 0.331412i | \(-0.107525\pi\) |
−0.758754 | + | 0.651377i | \(0.774192\pi\) | |||||||
\(462\) | 0.264432 | − | 0.458010i | 0.0123025 | − | 0.0213085i | ||||
\(463\) | 9.25395 | 0.430068 | 0.215034 | − | 0.976607i | \(-0.431014\pi\) | ||||
0.215034 | + | 0.976607i | \(0.431014\pi\) | |||||||
\(464\) | 1.28514 | 0.0596612 | ||||||||
\(465\) | 1.53163 | − | 2.65287i | 0.0710278 | − | 0.123024i | ||||
\(466\) | −24.8007 | + | 42.9561i | −1.14887 | + | 1.98990i | ||||
\(467\) | 9.47183 | 0.438304 | 0.219152 | − | 0.975691i | \(-0.429671\pi\) | ||||
0.219152 | + | 0.975691i | \(0.429671\pi\) | |||||||
\(468\) | 32.2889 | 1.49256 | ||||||||
\(469\) | −1.17265 | + | 2.03108i | −0.0541478 | + | 0.0937868i | ||||
\(470\) | 3.50000 | + | 6.06218i | 0.161443 | + | 0.279627i | ||||
\(471\) | −1.65861 | + | 2.87280i | −0.0764247 | + | 0.132371i | ||||
\(472\) | −7.99800 | − | 13.8529i | −0.368138 | − | 0.637633i | ||||
\(473\) | 2.83983 | + | 4.91873i | 0.130576 | + | 0.226164i | ||||
\(474\) | −4.85320 | −0.222915 | ||||||||
\(475\) | −4.26053 | − | 0.920816i | −0.195486 | − | 0.0422499i | ||||
\(476\) | −6.72889 | −0.308418 | ||||||||
\(477\) | 3.30074 | + | 5.71704i | 0.151130 | + | 0.261765i | ||||
\(478\) | 29.8011 | + | 51.6170i | 1.36307 | + | 2.36091i | ||||
\(479\) | 17.3574 | − | 30.0639i | 0.793081 | − | 1.37366i | −0.130969 | − | 0.991386i | \(-0.541809\pi\) |
0.924050 | − | 0.382270i | \(-0.124858\pi\) | |||||||
\(480\) | −1.87147 | − | 3.24147i | −0.0854203 | − | 0.147952i | ||||
\(481\) | −4.76164 | + | 8.24740i | −0.217112 | + | 0.376049i | ||||
\(482\) | 11.3874 | 0.518682 | ||||||||
\(483\) | −2.18980 | −0.0996393 | ||||||||
\(484\) | 22.2710 | − | 38.5745i | 1.01232 | − | 1.75339i | ||||
\(485\) | −3.18122 | + | 5.51004i | −0.144452 | + | 0.250198i | ||||
\(486\) | −34.6554 | −1.57200 | ||||||||
\(487\) | −28.5070 | −1.29178 | −0.645888 | − | 0.763432i | \(-0.723513\pi\) | ||||
−0.645888 | + | 0.763432i | \(0.723513\pi\) | |||||||
\(488\) | −36.0471 | + | 62.4355i | −1.63178 | + | 2.82632i | ||||
\(489\) | 1.95735 | + | 3.39022i | 0.0885142 | + | 0.153311i | ||||
\(490\) | 8.71286 | − | 15.0911i | 0.393607 | − | 0.681747i | ||||
\(491\) | 15.5949 | + | 27.0112i | 0.703788 | + | 1.21900i | 0.967127 | + | 0.254293i | \(0.0818428\pi\) |
−0.263339 | + | 0.964703i | \(0.584824\pi\) | |||||||
\(492\) | 18.9433 | + | 32.8108i | 0.854030 | + | 1.47922i | ||||
\(493\) | 1.57028 | 0.0707221 | ||||||||
\(494\) | 16.7070 | + | 52.0223i | 0.751681 | + | 2.34059i | ||||
\(495\) | −1.17265 | −0.0527066 | ||||||||
\(496\) | −7.26053 | − | 12.5756i | −0.326007 | − | 0.564661i | ||||
\(497\) | −1.09178 | − | 1.89103i | −0.0489732 | − | 0.0848242i | ||||
\(498\) | −14.5828 | + | 25.2581i | −0.653469 | + | 1.13184i | ||||
\(499\) | −8.09334 | − | 14.0181i | −0.362308 | − | 0.627535i | 0.626032 | − | 0.779797i | \(-0.284678\pi\) |
−0.988340 | + | 0.152262i | \(0.951344\pi\) | |||||||
\(500\) | 2.14257 | − | 3.71104i | 0.0958187 | − | 0.165963i | ||||
\(501\) | 12.4899 | 0.558006 | ||||||||
\(502\) | 48.8944 | 2.18226 | ||||||||
\(503\) | −8.61094 | + | 14.9146i | −0.383943 | + | 0.665008i | −0.991622 | − | 0.129174i | \(-0.958767\pi\) |
0.607679 | + | 0.794183i | \(0.292101\pi\) | |||||||
\(504\) | 0.957790 | − | 1.65894i | 0.0426633 | − | 0.0738951i | ||||
\(505\) | 7.39452 | 0.329052 | ||||||||
\(506\) | 15.7570 | 0.700483 | ||||||||
\(507\) | −7.33126 | + | 12.6981i | −0.325593 | + | 0.563943i | ||||
\(508\) | 27.9437 | + | 48.3998i | 1.23980 | + | 2.14740i | ||||
\(509\) | 18.2956 | − | 31.6889i | 0.810939 | − | 1.40459i | −0.101268 | − | 0.994859i | \(-0.532290\pi\) |
0.912207 | − | 0.409729i | \(-0.134377\pi\) | |||||||
\(510\) | −10.8398 | − | 18.7751i | −0.479996 | − | 0.831377i | ||||
\(511\) | −1.56171 | − | 2.70496i | −0.0690859 | − | 0.119660i | ||||
\(512\) | 48.6224 | 2.14883 | ||||||||
\(513\) | −7.33983 | − | 22.8549i | −0.324062 | − | 1.00907i | ||||
\(514\) | −4.42260 | −0.195072 | ||||||||
\(515\) | 6.10192 | + | 10.5688i | 0.268883 | + | 0.465718i | ||||
\(516\) | −19.1089 | − | 33.0976i | −0.841224 | − | 1.45704i | ||||
\(517\) | −1.08632 | + | 1.88157i | −0.0477765 | + | 0.0827512i | ||||
\(518\) | 0.529730 | + | 0.917520i | 0.0232750 | + | 0.0403135i | ||||
\(519\) | 1.62853 | − | 2.82070i | 0.0714847 | − | 0.123815i | ||||
\(520\) | −28.6445 | −1.25614 | ||||||||
\(521\) | −3.63667 | −0.159325 | −0.0796626 | − | 0.996822i | \(-0.525384\pi\) | ||||
−0.0796626 | + | 0.996822i | \(0.525384\pi\) | |||||||
\(522\) | −0.419138 | + | 0.725968i | −0.0183452 | + | 0.0317748i | ||||
\(523\) | 17.8117 | − | 30.8507i | 0.778850 | − | 1.34901i | −0.153756 | − | 0.988109i | \(-0.549137\pi\) |
0.932605 | − | 0.360898i | \(-0.117530\pi\) | |||||||
\(524\) | 30.4647 | 1.33086 | ||||||||
\(525\) | −0.271105 | −0.0118320 | ||||||||
\(526\) | −8.11250 | + | 14.0513i | −0.353722 | + | 0.612664i | ||||
\(527\) | −8.87147 | − | 15.3658i | −0.386447 | − | 0.669346i | ||||
\(528\) | 2.75351 | − | 4.76922i | 0.119831 | − | 0.207554i | ||||
\(529\) | −21.1214 | − | 36.5834i | −0.918322 | − | 1.59058i | ||||
\(530\) | −5.49098 | − | 9.51066i | −0.238513 | − | 0.413117i | ||||
\(531\) | 4.20784 | 0.182605 | ||||||||
\(532\) | 4.05079 | + | 0.875485i | 0.175624 | + | 0.0379571i | ||||
\(533\) | 36.1796 | 1.56711 | ||||||||
\(534\) | 4.81020 | + | 8.33151i | 0.208158 | + | 0.360540i | ||||
\(535\) | −0.816776 | − | 1.41470i | −0.0353123 | − | 0.0611627i | ||||
\(536\) | −30.2780 | + | 52.4431i | −1.30781 | + | 2.26520i | ||||
\(537\) | 7.90354 | + | 13.6893i | 0.341063 | + | 0.590739i | ||||
\(538\) | 35.7073 | − | 61.8469i | 1.53945 | − | 2.66641i | ||||
\(539\) | 5.40856 | 0.232963 | ||||||||
\(540\) | 23.5984 | 1.01551 | ||||||||
\(541\) | −1.58632 | + | 2.74759i | −0.0682014 | + | 0.118128i | −0.898110 | − | 0.439772i | \(-0.855059\pi\) |
0.829908 | + | 0.557900i | \(0.188393\pi\) | |||||||
\(542\) | −0.617957 | + | 1.07033i | −0.0265435 | + | 0.0459747i | ||||
\(543\) | −22.7420 | −0.975955 | ||||||||
\(544\) | −21.6797 | −0.929508 | ||||||||
\(545\) | −3.80820 | + | 6.59600i | −0.163125 | + | 0.282541i | ||||
\(546\) | 1.69916 | + | 2.94304i | 0.0727175 | + | 0.125950i | ||||
\(547\) | 14.1902 | − | 24.5782i | 0.606731 | − | 1.05089i | −0.385044 | − | 0.922898i | \(-0.625814\pi\) |
0.991775 | − | 0.127991i | \(-0.0408528\pi\) | |||||||
\(548\) | −11.6250 | − | 20.1350i | −0.496594 | − | 0.860127i | ||||
\(549\) | −9.48240 | − | 16.4240i | −0.404699 | − | 0.700959i | ||||
\(550\) | 1.95077 | 0.0831812 | ||||||||
\(551\) | −0.945310 | − | 0.204307i | −0.0402715 | − | 0.00870377i | ||||
\(552\) | −56.5411 | −2.40655 | ||||||||
\(553\) | 0.175762 | + | 0.304428i | 0.00747415 | + | 0.0129456i | ||||
\(554\) | −11.0172 | − | 19.0823i | −0.468074 | − | 0.810728i | ||||
\(555\) | −1.16363 | + | 2.01546i | −0.0493932 | + | 0.0855516i | ||||
\(556\) | −7.64959 | − | 13.2495i | −0.324415 | − | 0.561903i | ||||
\(557\) | −1.06527 | + | 1.84510i | −0.0451368 | + | 0.0781793i | −0.887711 | − | 0.460401i | \(-0.847706\pi\) |
0.842574 | + | 0.538580i | \(0.181039\pi\) | |||||||
\(558\) | 9.47183 | 0.400974 | ||||||||
\(559\) | −36.4959 | −1.54361 | ||||||||
\(560\) | −0.642571 | + | 1.11297i | −0.0271536 | + | 0.0470314i | ||||
\(561\) | 3.36445 | − | 5.82739i | 0.142047 | − | 0.246033i | ||||
\(562\) | 11.8906 | 0.501575 | ||||||||
\(563\) | −20.2609 | −0.853894 | −0.426947 | − | 0.904277i | \(-0.640411\pi\) | ||||
−0.426947 | + | 0.904277i | \(0.640411\pi\) | |||||||
\(564\) | 7.30976 | − | 12.6609i | 0.307796 | − | 0.533119i | ||||
\(565\) | 6.24449 | + | 10.8158i | 0.262708 | + | 0.455023i | ||||
\(566\) | 21.1460 | − | 36.6260i | 0.888834 | − | 1.53951i | ||||
\(567\) | −0.244933 | − | 0.424237i | −0.0102862 | − | 0.0178163i | ||||
\(568\) | −28.1901 | − | 48.8268i | −1.18283 | − | 2.04873i | ||||
\(569\) | −34.7530 | −1.45692 | −0.728460 | − | 0.685088i | \(-0.759764\pi\) | ||||
−0.728460 | + | 0.685088i | \(0.759764\pi\) | |||||||
\(570\) | 4.08276 | + | 12.7130i | 0.171008 | + | 0.532487i | ||||
\(571\) | 32.0702 | 1.34210 | 0.671048 | − | 0.741414i | \(-0.265845\pi\) | ||||
0.671048 | + | 0.741414i | \(0.265845\pi\) | |||||||
\(572\) | −8.33593 | − | 14.4383i | −0.348543 | − | 0.603694i | ||||
\(573\) | 14.0773 | + | 24.3826i | 0.588088 | + | 1.01860i | ||||
\(574\) | 2.01248 | − | 3.48572i | 0.0839993 | − | 0.145491i | ||||
\(575\) | −4.03865 | − | 6.99515i | −0.168423 | − | 0.291718i | ||||
\(576\) | −2.94220 | + | 5.09603i | −0.122591 | + | 0.212335i | ||||
\(577\) | 30.2740 | 1.26032 | 0.630162 | − | 0.776464i | \(-0.282988\pi\) | ||||
0.630162 | + | 0.776464i | \(0.282988\pi\) | |||||||
\(578\) | −82.9528 | −3.45038 | ||||||||
\(579\) | 10.4332 | − | 18.0708i | 0.433588 | − | 0.750996i | ||||
\(580\) | 0.475385 | − | 0.823392i | 0.0197393 | − | 0.0341895i | ||||
\(581\) | 2.11250 | 0.0876411 | ||||||||
\(582\) | 19.4899 | 0.807881 | ||||||||
\(583\) | 1.70428 | − | 2.95190i | 0.0705841 | − | 0.122255i | ||||
\(584\) | −40.3237 | − | 69.8427i | −1.66861 | − | 2.89011i | ||||
\(585\) | 3.76755 | − | 6.52558i | 0.155769 | − | 0.269800i | ||||
\(586\) | 14.5828 | + | 25.2581i | 0.602408 | + | 1.04340i | ||||
\(587\) | −1.24805 | − | 2.16168i | −0.0515125 | − | 0.0892222i | 0.839119 | − | 0.543947i | \(-0.183071\pi\) |
−0.890632 | + | 0.454725i | \(0.849738\pi\) | |||||||
\(588\) | −36.3936 | −1.50085 | ||||||||
\(589\) | 3.34139 | + | 10.4045i | 0.137680 | + | 0.428708i | ||||
\(590\) | −7.00000 | −0.288185 | ||||||||
\(591\) | 5.38862 | + | 9.33336i | 0.221658 | + | 0.383923i | ||||
\(592\) | 5.51604 | + | 9.55406i | 0.226708 | + | 0.392669i | ||||
\(593\) | 4.98196 | − | 8.62901i | 0.204585 | − | 0.354351i | −0.745416 | − | 0.666600i | \(-0.767749\pi\) |
0.950000 | + | 0.312249i | \(0.101082\pi\) | |||||||
\(594\) | 5.37147 | + | 9.30365i | 0.220394 | + | 0.381733i | ||||
\(595\) | −0.785142 | + | 1.35991i | −0.0321877 | + | 0.0557507i | ||||
\(596\) | −4.01404 | −0.164421 | ||||||||
\(597\) | −3.48898 | −0.142794 | ||||||||
\(598\) | −50.6249 | + | 87.6849i | −2.07021 | + | 3.58570i | ||||
\(599\) | −16.0351 | + | 27.7736i | −0.655176 | + | 1.13480i | 0.326673 | + | 0.945137i | \(0.394072\pi\) |
−0.981850 | + | 0.189661i | \(0.939261\pi\) | |||||||
\(600\) | −7.00000 | −0.285774 | ||||||||
\(601\) | 3.68278 | 0.150224 | 0.0751119 | − | 0.997175i | \(-0.476069\pi\) | ||||
0.0751119 | + | 0.997175i | \(0.476069\pi\) | |||||||
\(602\) | −2.03008 | + | 3.51619i | −0.0827397 | + | 0.143309i | ||||
\(603\) | −7.96481 | − | 13.7955i | −0.324352 | − | 0.561794i | ||||
\(604\) | 2.08242 | − | 3.60686i | 0.0847324 | − | 0.146761i | ||||
\(605\) | −5.19726 | − | 9.00192i | −0.211299 | − | 0.365980i | ||||
\(606\) | −11.3257 | − | 19.6167i | −0.460075 | − | 0.796873i | ||||
\(607\) | −20.4850 | −0.831460 | −0.415730 | − | 0.909488i | \(-0.636474\pi\) | ||||
−0.415730 | + | 0.909488i | \(0.636474\pi\) | |||||||
\(608\) | 13.0511 | + | 2.82070i | 0.529293 | + | 0.114395i | ||||
\(609\) | −0.0601518 | −0.00243747 | ||||||||
\(610\) | 15.7746 | + | 27.3223i | 0.638693 | + | 1.10625i | ||||
\(611\) | −6.98040 | − | 12.0904i | −0.282397 | − | 0.489126i | ||||
\(612\) | 22.8519 | − | 39.5806i | 0.923732 | − | 1.59995i | ||||
\(613\) | −5.35587 | − | 9.27664i | −0.216322 | − | 0.374680i | 0.737359 | − | 0.675501i | \(-0.236073\pi\) |
−0.953681 | + | 0.300821i | \(0.902739\pi\) | |||||||
\(614\) | 7.38395 | − | 12.7894i | 0.297992 | − | 0.516137i | ||||
\(615\) | 8.84139 | 0.356519 | ||||||||
\(616\) | −0.989077 | −0.0398511 | ||||||||
\(617\) | 8.86600 | − | 15.3564i | 0.356932 | − | 0.618224i | −0.630515 | − | 0.776177i | \(-0.717156\pi\) |
0.987447 | + | 0.157953i | \(0.0504895\pi\) | |||||||
\(618\) | 18.6918 | − | 32.3751i | 0.751894 | − | 1.30232i | ||||
\(619\) | −13.2780 | −0.533689 | −0.266844 | − | 0.963740i | \(-0.585981\pi\) | ||||
−0.266844 | + | 0.963740i | \(0.585981\pi\) | |||||||
\(620\) | −10.7429 | −0.431447 | ||||||||
\(621\) | 22.2409 | − | 38.5224i | 0.892498 | − | 1.54585i | ||||
\(622\) | 18.5773 | + | 32.1768i | 0.744882 | + | 1.29017i | ||||
\(623\) | 0.348409 | − | 0.603462i | 0.0139587 | − | 0.0241772i | ||||
\(624\) | 17.6933 | + | 30.6456i | 0.708297 | + | 1.22681i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | 14.7779 | 0.590645 | ||||||||
\(627\) | −2.78359 | + | 3.07034i | −0.111166 | + | 0.122618i | ||||
\(628\) | 11.6336 | 0.464229 | ||||||||
\(629\) | 6.73992 | + | 11.6739i | 0.268738 | + | 0.465468i | ||||
\(630\) | −0.419138 | − | 0.725968i | −0.0166989 | − | 0.0289233i | ||||
\(631\) | −2.03208 | + | 3.51966i | −0.0808957 | + | 0.140115i | −0.903635 | − | 0.428304i | \(-0.859111\pi\) |
0.822739 | + | 0.568419i | \(0.192445\pi\) | |||||||
\(632\) | 4.53821 | + | 7.86041i | 0.180520 | + | 0.312670i | ||||
\(633\) | 7.87347 | − | 13.6372i | 0.312942 | − | 0.542032i | ||||
\(634\) | 10.4257 | 0.414058 | ||||||||
\(635\) | 13.0421 | 0.517560 | ||||||||
\(636\) | −11.4679 | + | 19.8630i | −0.454733 | + | 0.787620i | ||||
\(637\) | −17.3769 | + | 30.0977i | −0.688499 | + | 1.19252i | ||||
\(638\) | 0.432830 | 0.0171359 | ||||||||
\(639\) | 14.8312 | 0.586712 | ||||||||
\(640\) | 7.95779 | − | 13.7833i | 0.314559 | − | 0.544833i | ||||
\(641\) | −2.49254 | − | 4.31720i | −0.0984493 | − | 0.170519i | 0.812594 | − | 0.582831i | \(-0.198055\pi\) |
−0.911043 | + | 0.412311i | \(0.864722\pi\) | |||||||
\(642\) | −2.50200 | + | 4.33359i | −0.0987461 | + | 0.171033i | ||||
\(643\) | 2.93829 | + | 5.08927i | 0.115875 | + | 0.200701i | 0.918129 | − | 0.396281i | \(-0.129700\pi\) |
−0.802254 | + | 0.596983i | \(0.796366\pi\) | |||||||
\(644\) | 3.83983 | + | 6.65079i | 0.151311 | + | 0.262078i | ||||
\(645\) | −8.91869 | −0.351173 | ||||||||
\(646\) | 75.5943 | + | 16.3380i | 2.97422 | + | 0.642809i | ||||
\(647\) | 16.9757 | 0.667385 | 0.333692 | − | 0.942682i | \(-0.391705\pi\) | ||||
0.333692 | + | 0.942682i | \(0.391705\pi\) | |||||||
\(648\) | −6.32424 | − | 10.9539i | −0.248440 | − | 0.430310i | ||||
\(649\) | −1.08632 | − | 1.88157i | −0.0426419 | − | 0.0738580i | ||||
\(650\) | −6.26755 | + | 10.8557i | −0.245833 | + | 0.425796i | ||||
\(651\) | 0.339833 | + | 0.588608i | 0.0133191 | + | 0.0230694i | ||||
\(652\) | 6.86445 | − | 11.8896i | 0.268833 | − | 0.465632i | ||||
\(653\) | 24.6797 | 0.965790 | 0.482895 | − | 0.875678i | \(-0.339585\pi\) | ||||
0.482895 | + | 0.875678i | \(0.339585\pi\) | |||||||
\(654\) | 23.3311 | 0.912317 | ||||||||
\(655\) | 3.55469 | − | 6.15690i | 0.138893 | − | 0.240570i | ||||
\(656\) | 20.9558 | − | 36.2965i | 0.818186 | − | 1.41714i | ||||
\(657\) | 21.2148 | 0.827667 | ||||||||
\(658\) | −1.55313 | −0.0605474 | ||||||||
\(659\) | −0.943308 | + | 1.63386i | −0.0367461 | + | 0.0636461i | −0.883814 | − | 0.467839i | \(-0.845033\pi\) |
0.847067 | + | 0.531485i | \(0.178366\pi\) | |||||||
\(660\) | −2.03709 | − | 3.52835i | −0.0792938 | − | 0.137341i | ||||
\(661\) | −22.3749 | + | 38.7545i | −0.870284 | + | 1.50738i | −0.00858048 | + | 0.999963i | \(0.502731\pi\) |
−0.861703 | + | 0.507413i | \(0.830602\pi\) | |||||||
\(662\) | 13.3871 | + | 23.1871i | 0.520303 | + | 0.901191i | ||||
\(663\) | 21.6190 | + | 37.4452i | 0.839611 | + | 1.45425i | ||||
\(664\) | 54.5451 | 2.11676 | ||||||||
\(665\) | 0.649590 | − | 0.716509i | 0.0251900 | − | 0.0277850i | ||||
\(666\) | −7.19603 | −0.278840 | ||||||||
\(667\) | −0.896081 | − | 1.55206i | −0.0346964 | − | 0.0600959i | ||||
\(668\) | −21.9011 | − | 37.9338i | −0.847379 | − | 1.46770i | ||||
\(669\) | −12.6511 | + | 21.9124i | −0.489122 | + | 0.847183i | ||||
\(670\) | 13.2500 | + | 22.9496i | 0.511890 | + | 0.886620i | ||||
\(671\) | −4.89608 | + | 8.48026i | −0.189011 | + | 0.327377i | ||||
\(672\) | 0.830467 | 0.0320360 | ||||||||
\(673\) | 25.4046 | 0.979274 | 0.489637 | − | 0.871926i | \(-0.337129\pi\) | ||||
0.489637 | + | 0.871926i | \(0.337129\pi\) | |||||||
\(674\) | −33.0241 | + | 57.1994i | −1.27204 | + | 2.20324i | ||||
\(675\) | 2.75351 | − | 4.76922i | 0.105983 | − | 0.183567i | ||||
\(676\) | 51.4217 | 1.97776 | ||||||||
\(677\) | −3.86946 | −0.148716 | −0.0743578 | − | 0.997232i | \(-0.523691\pi\) | ||||
−0.0743578 | + | 0.997232i | \(0.523691\pi\) | |||||||
\(678\) | 19.1285 | − | 33.1316i | 0.734627 | − | 1.27241i | ||||
\(679\) | −0.705838 | − | 1.22255i | −0.0270876 | − | 0.0469170i | ||||
\(680\) | −20.2726 | + | 35.1131i | −0.777417 | + | 1.34653i | ||||
\(681\) | −2.44375 | − | 4.23270i | −0.0936448 | − | 0.162198i | ||||
\(682\) | −2.44531 | − | 4.23540i | −0.0936357 | − | 0.162182i | ||||
\(683\) | −48.5171 | −1.85645 | −0.928227 | − | 0.372015i | \(-0.878667\pi\) | ||||
−0.928227 | + | 0.372015i | \(0.878667\pi\) | |||||||
\(684\) | −18.9066 | + | 20.8543i | −0.722910 | + | 0.797382i | ||||
\(685\) | −5.42571 | −0.207306 | ||||||||
\(686\) | 3.88004 | + | 6.72043i | 0.148141 | + | 0.256587i | ||||
\(687\) | −2.16217 | − | 3.74499i | −0.0824919 | − | 0.142880i | ||||
\(688\) | −21.1390 | + | 36.6138i | −0.805917 | + | 1.39589i | ||||
\(689\) | 10.9512 | + | 18.9681i | 0.417208 | + | 0.722626i | ||||
\(690\) | −12.3715 | + | 21.4280i | −0.470974 | + | 0.815750i | ||||
\(691\) | −47.6374 | −1.81221 | −0.906105 | − | 0.423052i | \(-0.860959\pi\) | ||||
−0.906105 | + | 0.423052i | \(0.860959\pi\) | |||||||
\(692\) | −11.4226 | −0.434222 | ||||||||
\(693\) | 0.130091 | − | 0.225325i | 0.00494176 | − | 0.00855937i | ||||
\(694\) | −21.1636 | + | 36.6565i | −0.803360 | + | 1.39146i | ||||
\(695\) | −3.57028 | −0.135429 | ||||||||
\(696\) | −1.55313 | −0.0588714 | ||||||||
\(697\) | 25.6054 | − | 44.3498i | 0.969873 | − | 1.67987i | ||||
\(698\) | 5.78670 | + | 10.0229i | 0.219030 | + | 0.379371i | ||||
\(699\) | 12.0874 | − | 20.9361i | 0.457189 | − | 0.791874i | ||||
\(700\) | 0.475385 | + | 0.823392i | 0.0179679 | + | 0.0311213i | ||||
\(701\) | −14.2766 | − | 24.7277i | −0.539218 | − | 0.933954i | −0.998946 | − | 0.0458939i | \(-0.985386\pi\) |
0.459728 | − | 0.888060i | \(-0.347947\pi\) | |||||||
\(702\) | −69.0310 | −2.60541 | ||||||||
\(703\) | −2.53855 | − | 7.90458i | −0.0957434 | − | 0.298127i | ||||
\(704\) | 3.03831 | 0.114510 | ||||||||
\(705\) | −1.70584 | − | 2.95460i | −0.0642456 | − | 0.111277i | ||||
\(706\) | −31.2760 | − | 54.1717i | −1.17709 | − | 2.03878i | ||||
\(707\) | −0.820334 | + | 1.42086i | −0.0308518 | + | 0.0534370i | ||||
\(708\) | 7.30976 | + | 12.6609i | 0.274717 | + | 0.475825i | ||||
\(709\) | −9.74137 | + | 16.8726i | −0.365845 | + | 0.633662i | −0.988911 | − | 0.148507i | \(-0.952553\pi\) |
0.623066 | + | 0.782169i | \(0.285887\pi\) | |||||||
\(710\) | −24.6725 | −0.925944 | ||||||||
\(711\) | −2.38760 | −0.0895421 | ||||||||
\(712\) | 8.99600 | − | 15.5815i | 0.337139 | − | 0.583942i | ||||
\(713\) | −10.1250 | + | 17.5370i | −0.379183 | + | 0.656765i | ||||
\(714\) | 4.81020 | 0.180017 | ||||||||
\(715\) | −3.89062 | −0.145501 | ||||||||
\(716\) | 27.7179 | − | 48.0088i | 1.03587 | − | 1.79417i | ||||
\(717\) | −14.5245 | − | 25.1572i | −0.542428 | − | 0.939513i | ||||
\(718\) | 14.7942 | − | 25.6242i | 0.552113 | − | 0.956288i | ||||
\(719\) | −2.05313 | − | 3.55613i | −0.0765689 | − | 0.132621i | 0.825199 | − | 0.564843i | \(-0.191063\pi\) |
−0.901767 | + | 0.432221i | \(0.857730\pi\) | |||||||
\(720\) | −4.36445 | − | 7.55944i | −0.162653 | − | 0.281724i | ||||
\(721\) | −2.70774 | −0.100842 | ||||||||
\(722\) | −43.3819 | − | 19.6709i | −1.61451 | − | 0.732074i | ||||
\(723\) | −5.55002 | −0.206407 | ||||||||
\(724\) | 39.8784 | + | 69.0714i | 1.48207 | + | 2.56702i | ||||
\(725\) | −0.110938 | − | 0.192150i | −0.00412014 | − | 0.00713629i | ||||
\(726\) | −15.9206 | + | 27.5753i | −0.590869 | + | 1.02341i | ||||
\(727\) | 6.20584 | + | 10.7488i | 0.230162 | + | 0.398652i | 0.957856 | − | 0.287250i | \(-0.0927411\pi\) |
−0.727694 | + | 0.685902i | \(0.759408\pi\) | |||||||
\(728\) | 3.17776 | − | 5.50405i | 0.117776 | − | 0.203994i | ||||
\(729\) | 23.5139 | 0.870887 | ||||||||
\(730\) | −35.2921 | −1.30622 | ||||||||
\(731\) | −25.8293 | + | 44.7376i | −0.955330 | + | 1.65468i | ||||
\(732\) | 32.9452 | − | 57.0628i | 1.21769 | − | 2.10910i | ||||
\(733\) | −16.3985 | −0.605693 | −0.302847 | − | 0.953039i | \(-0.597937\pi\) | ||||
−0.302847 | + | 0.953039i | \(0.597937\pi\) | |||||||
\(734\) | −65.7661 | −2.42747 | ||||||||
\(735\) | −4.24649 | + | 7.35514i | −0.156634 | + | 0.271298i | ||||
\(736\) | 12.3715 | + | 21.4280i | 0.456018 | + | 0.789847i | ||||
\(737\) | −4.11250 | + | 7.12305i | −0.151486 | + | 0.262381i | ||||
\(738\) | 13.6691 | + | 23.6756i | 0.503166 | + | 0.871509i | ||||
\(739\) | 23.1018 | + | 40.0135i | 0.849814 | + | 1.47192i | 0.881374 | + | 0.472419i | \(0.156619\pi\) |
−0.0315597 | + | 0.999502i | \(0.510047\pi\) | |||||||
\(740\) | 8.16172 | 0.300031 | ||||||||
\(741\) | −8.14267 | − | 25.3547i | −0.299128 | − | 0.931430i | ||||
\(742\) | 2.43664 | 0.0894517 | ||||||||
\(743\) | 12.4066 | + | 21.4888i | 0.455153 | + | 0.788347i | 0.998697 | − | 0.0510331i | \(-0.0162514\pi\) |
−0.543544 | + | 0.839380i | \(0.682918\pi\) | |||||||
\(744\) | 8.77457 | + | 15.1980i | 0.321691 | + | 0.557185i | ||||
\(745\) | −0.468367 | + | 0.811235i | −0.0171596 | + | 0.0297214i | ||||
\(746\) | 15.0371 | + | 26.0450i | 0.550547 | + | 0.953576i | ||||
\(747\) | −7.17420 | + | 12.4261i | −0.262490 | + | 0.454647i | ||||
\(748\) | −23.5984 | −0.862841 | ||||||||
\(749\) | 0.362446 | 0.0132435 | ||||||||
\(750\) | −1.53163 | + | 2.65287i | −0.0559273 | + | 0.0968690i | ||||
\(751\) | 5.26955 | − | 9.12712i | 0.192289 | − | 0.333054i | −0.753720 | − | 0.657196i | \(-0.771742\pi\) |
0.946008 | + | 0.324142i | \(0.105076\pi\) | |||||||
\(752\) | −16.1726 | −0.589756 | ||||||||
\(753\) | −23.8303 | −0.868423 | ||||||||
\(754\) | −1.39062 | + | 2.40862i | −0.0506434 | + | 0.0877169i | ||||
\(755\) | −0.485963 | − | 0.841712i | −0.0176860 | − | 0.0306330i | ||||
\(756\) | −2.61796 | + | 4.53443i | −0.0952142 | + | 0.164916i | ||||
\(757\) | 3.09836 | + | 5.36652i | 0.112612 | + | 0.195049i | 0.916823 | − | 0.399295i | \(-0.130745\pi\) |
−0.804211 | + | 0.594344i | \(0.797412\pi\) | |||||||
\(758\) | 0.392621 | + | 0.680039i | 0.0142606 | + | 0.0247001i | ||||
\(759\) | −7.67967 | −0.278754 | ||||||||
\(760\) | 16.7726 | − | 18.5004i | 0.608405 | − | 0.671081i | ||||
\(761\) | 35.6084 | 1.29080 | 0.645402 | − | 0.763843i | \(-0.276690\pi\) | ||||
0.645402 | + | 0.763843i | \(0.276690\pi\) | |||||||
\(762\) | −19.9757 | − | 34.5990i | −0.723644 | − | 1.25339i | ||||
\(763\) | −0.844949 | − | 1.46349i | −0.0305892 | − | 0.0529820i | ||||
\(764\) | 49.3694 | − | 85.5103i | 1.78612 | − | 3.09365i | ||||
\(765\) | −5.33281 | − | 9.23671i | −0.192808 | − | 0.333954i | ||||
\(766\) | 37.7159 | − | 65.3258i | 1.36273 | − | 2.36032i | ||||
\(767\) | 13.9608 | 0.504095 | ||||||||
\(768\) | −39.2116 | −1.41493 | ||||||||
\(769\) | 0.0777477 | − | 0.134663i | 0.00280365 | − | 0.00485607i | −0.864620 | − | 0.502426i | \(-0.832441\pi\) |
0.867424 | + | 0.497570i | \(0.165774\pi\) | |||||||
\(770\) | −0.216415 | + | 0.374841i | −0.00779905 | + | 0.0135083i | ||||
\(771\) | 2.15550 | 0.0776283 | ||||||||
\(772\) | −73.1787 | −2.63376 | ||||||||
\(773\) | 2.54411 | − | 4.40653i | 0.0915054 | − | 0.158492i | −0.816639 | − | 0.577148i | \(-0.804165\pi\) |
0.908145 | + | 0.418656i | \(0.137499\pi\) | |||||||
\(774\) | −13.7886 | − | 23.8826i | −0.495621 | − | 0.858441i | ||||
\(775\) | −1.25351 | + | 2.17114i | −0.0450274 | + | 0.0779897i | ||||
\(776\) | −18.2249 | − | 31.5664i | −0.654236 | − | 1.13317i | ||||
\(777\) | −0.258181 | − | 0.447183i | −0.00926220 | − | 0.0160426i | ||||
\(778\) | 89.5552 | 3.21071 | ||||||||
\(779\) | −21.1847 | + | 23.3671i | −0.759020 | + | 0.837212i | ||||
\(780\) | 26.1796 | 0.937379 | ||||||||
\(781\) | −3.82891 | − | 6.63187i | −0.137009 | − | 0.237307i | ||||
\(782\) | 71.6575 | + | 124.114i | 2.56247 | + | 4.43832i | ||||
\(783\) | 0.610938 | − | 1.05818i | 0.0218331 | − | 0.0378161i | ||||
\(784\) | 20.1300 | + | 34.8662i | 0.718928 | + | 1.24522i | ||||
\(785\) | 1.35743 | − | 2.35114i | 0.0484487 | − | 0.0839156i | ||||
\(786\) | −21.7779 | −0.776793 | ||||||||
\(787\) | −22.5070 | −0.802289 | −0.401144 | − | 0.916015i | \(-0.631387\pi\) | ||||
−0.401144 | + | 0.916015i | \(0.631387\pi\) | |||||||
\(788\) | 18.8980 | − | 32.7323i | 0.673213 | − | 1.16604i | ||||
\(789\) | 3.95389 | − | 6.84833i | 0.140762 | − | 0.243807i | ||||
\(790\) | 3.97193 | 0.141315 | ||||||||
\(791\) | −2.77101 | −0.0985257 | ||||||||
\(792\) | 3.35899 | − | 5.81793i | 0.119356 | − | 0.206731i | ||||
\(793\) | −31.4608 | − | 54.4917i | −1.11721 | − | 1.93506i | ||||
\(794\) | 11.9749 | − | 20.7412i | 0.424975 | − | 0.736078i | ||||
\(795\) | 2.67621 | + | 4.63532i | 0.0949152 | + | 0.164398i | ||||
\(796\) | 6.11796 | + | 10.5966i | 0.216845 | + | 0.375587i | ||||
\(797\) | 29.2219 | 1.03509 | 0.517546 | − | 0.855655i | \(-0.326846\pi\) | ||||
0.517546 | + | 0.855655i | \(0.326846\pi\) | |||||||
\(798\) | −2.89574 | − | 0.625847i | −0.102508 | − | 0.0221547i | ||||
\(799\) | −19.7610 | −0.699093 | ||||||||
\(800\) | 1.53163 | + | 2.65287i | 0.0541514 | + | 0.0937930i | ||||
\(801\) | 2.36645 | + | 4.09881i | 0.0836144 | + | 0.144824i | ||||
\(802\) | 38.7128 | − | 67.0525i | 1.36699 | − | 2.36770i | ||||
\(803\) | −5.47694 | − | 9.48634i | −0.193277 | − | 0.334766i | ||||
\(804\) | 27.6725 | − | 47.9303i | 0.975936 | − | 1.69037i | ||||
\(805\) | 1.79216 | 0.0631654 | ||||||||
\(806\) | 31.4257 | 1.10692 | ||||||||
\(807\) | −17.4031 | + | 30.1431i | −0.612618 | + | 1.06109i | ||||
\(808\) | −21.1812 | + | 36.6870i | −0.745153 | + | 1.29064i | ||||
\(809\) | 25.8664 | 0.909412 | 0.454706 | − | 0.890641i | \(-0.349744\pi\) | ||||
0.454706 | + | 0.890641i | \(0.349744\pi\) | |||||||
\(810\) | −5.53509 | −0.194483 | ||||||||
\(811\) | 9.84841 | − | 17.0579i | 0.345824 | − | 0.598985i | −0.639679 | − | 0.768642i | \(-0.720933\pi\) |
0.985503 | + | 0.169657i | \(0.0542660\pi\) | |||||||
\(812\) | 0.105477 | + | 0.182691i | 0.00370151 | + | 0.00641120i | ||||
\(813\) | 0.301181 | − | 0.521661i | 0.0105629 | − | 0.0182954i | ||||
\(814\) | 1.85777 | + | 3.21776i | 0.0651150 | + | 0.112782i | ||||
\(815\) | −1.60192 | − | 2.77460i | −0.0561127 | − | 0.0971901i | ||||
\(816\) | 50.0882 | 1.75344 | ||||||||
\(817\) | 21.3699 | − | 23.5714i | 0.747638 | − | 0.824658i | ||||
\(818\) | −79.1295 | −2.76670 | ||||||||
\(819\) | 0.835929 | + | 1.44787i | 0.0292097 | + | 0.0505927i | ||||
\(820\) | −15.5035 | − | 26.8528i | −0.541404 | − | 0.937740i | ||||
\(821\) | −2.04021 | + | 3.53375i | −0.0712038 | + | 0.123329i | −0.899429 | − | 0.437067i | \(-0.856017\pi\) |
0.828225 | + | 0.560395i | \(0.189351\pi\) | |||||||
\(822\) | 8.31020 | + | 14.3937i | 0.289852 | + | 0.502038i | ||||
\(823\) | −5.30318 | + | 9.18538i | −0.184857 | + | 0.320182i | −0.943528 | − | 0.331292i | \(-0.892516\pi\) |
0.758671 | + | 0.651474i | \(0.225849\pi\) | |||||||
\(824\) | −69.9145 | −2.43559 | ||||||||
\(825\) | −0.950771 | −0.0331016 | ||||||||
\(826\) | 0.776567 | − | 1.34505i | 0.0270202 | − | 0.0468004i | ||||
\(827\) | −7.70228 | + | 13.3407i | −0.267834 | + | 0.463903i | −0.968302 | − | 0.249781i | \(-0.919641\pi\) |
0.700468 | + | 0.713684i | \(0.252975\pi\) | |||||||
\(828\) | −52.1615 | −1.81274 | ||||||||
\(829\) | 21.2350 | 0.737523 | 0.368761 | − | 0.929524i | \(-0.379782\pi\) | ||||
0.368761 | + | 0.929524i | \(0.379782\pi\) | |||||||
\(830\) | 11.9347 | − | 20.6716i | 0.414261 | − | 0.717520i | ||||
\(831\) | 5.36956 | + | 9.30036i | 0.186268 | + | 0.322626i | ||||
\(832\) | −9.76164 | + | 16.9077i | −0.338424 | + | 0.586168i | ||||
\(833\) | 24.5964 | + | 42.6021i | 0.852213 | + | 1.47608i | ||||
\(834\) | 5.46837 | + | 9.47149i | 0.189354 | + | 0.327971i | ||||
\(835\) | −10.2219 | −0.353743 | ||||||||
\(836\) | 14.2062 | + | 3.07034i | 0.491331 | + | 0.106190i | ||||
\(837\) | −13.8062 | −0.477212 | ||||||||
\(838\) | −33.2268 | − | 57.5505i | −1.14780 | − | 1.98805i | ||||
\(839\) | 3.04567 | + | 5.27526i | 0.105148 | + | 0.182122i | 0.913799 | − | 0.406167i | \(-0.133135\pi\) |
−0.808651 | + | 0.588289i | \(0.799802\pi\) | |||||||
\(840\) | 0.776567 | − | 1.34505i | 0.0267941 | − | 0.0464087i | ||||
\(841\) | 14.4754 | + | 25.0721i | 0.499151 | + | 0.864555i | ||||
\(842\) | −25.3659 | + | 43.9350i | −0.874167 | + | 1.51410i | ||||
\(843\) | −5.79528 | −0.199600 | ||||||||
\(844\) | −55.2248 | −1.90092 | ||||||||
\(845\) | 6.00000 | − | 10.3923i | 0.206406 | − | 0.357506i | ||||
\(846\) | 5.27457 | − | 9.13582i | 0.181343 | − | 0.314096i | ||||
\(847\) | 2.30630 | 0.0792453 | ||||||||
\(848\) | 25.3725 | 0.871295 | ||||||||
\(849\) | −10.3062 | + | 17.8509i | −0.353708 | + | 0.612640i | ||||
\(850\) | 8.87147 | + | 15.3658i | 0.304289 | + | 0.527044i | ||||
\(851\) | 7.69224 | − | 13.3234i | 0.263687 | − | 0.456719i | ||||
\(852\) | 25.7643 | + | 44.6251i | 0.882672 | + | 1.52883i | ||||
\(853\) | 17.4824 | + | 30.2804i | 0.598586 | + | 1.03678i | 0.993030 | + | 0.117862i | \(0.0376039\pi\) |
−0.394444 | + | 0.918920i | \(0.629063\pi\) | |||||||
\(854\) | −7.00000 | −0.239535 | ||||||||
\(855\) | 2.00858 | + | 6.25433i | 0.0686918 | + | 0.213894i | ||||
\(856\) | 9.35844 | 0.319865 | ||||||||
\(857\) | −2.07575 | − | 3.59530i | −0.0709061 | − | 0.122813i | 0.828393 | − | 0.560148i | \(-0.189256\pi\) |
−0.899299 | + | 0.437335i | \(0.855922\pi\) | |||||||
\(858\) | 5.95900 | + | 10.3213i | 0.203437 | + | 0.352363i | ||||
\(859\) | −14.1245 | + | 24.4644i | −0.481923 | + | 0.834715i | −0.999785 | − | 0.0207495i | \(-0.993395\pi\) |
0.517862 | + | 0.855464i | \(0.326728\pi\) | |||||||
\(860\) | 15.6390 | + | 27.0876i | 0.533286 | + | 0.923678i | ||||
\(861\) | −0.980847 | + | 1.69888i | −0.0334272 | + | 0.0578976i | ||||
\(862\) | 28.7327 | 0.978640 | ||||||||
\(863\) | 51.8272 | 1.76422 | 0.882108 | − | 0.471046i | \(-0.156124\pi\) | ||||
0.882108 | + | 0.471046i | \(0.156124\pi\) | |||||||
\(864\) | −8.43473 | + | 14.6094i | −0.286955 | + | 0.497021i | ||||
\(865\) | −1.33281 | + | 2.30850i | −0.0453170 | + | 0.0784914i | ||||
\(866\) | −65.0490 | −2.21046 | ||||||||
\(867\) | 40.4297 | 1.37307 | ||||||||
\(868\) | 1.19180 | − | 2.06426i | 0.0404523 | − | 0.0700655i | ||||
\(869\) | 0.616399 | + | 1.06764i | 0.0209099 | + | 0.0362170i | ||||
\(870\) | −0.339833 | + | 0.588608i | −0.0115214 | + | 0.0199557i | ||||
\(871\) | −26.4257 | − | 45.7707i | −0.895401 | − | 1.55088i | ||||
\(872\) | −21.8168 | − | 37.7878i | −0.738809 | − | 1.27966i | ||||
\(873\) | 9.58832 | 0.324516 | ||||||||
\(874\) | −26.9894 | − | 84.0400i | −0.912931 | − | 2.84270i | ||||
\(875\) | 0.221876 | 0.00750078 | ||||||||
\(876\) | 36.8538 | + | 63.8326i | 1.24517 | + | 2.15670i | ||||
\(877\) | 23.5999 | + | 40.8763i | 0.796913 | + | 1.38029i | 0.921618 | + | 0.388099i | \(0.126868\pi\) |
−0.124705 | + | 0.992194i | \(0.539798\pi\) | |||||||
\(878\) | 31.7292 | − | 54.9567i | 1.07081 | − | 1.85470i | ||||
\(879\) | −7.10738 | − | 12.3103i | −0.239726 | − | 0.415218i | ||||
\(880\) | −2.25351 | + | 3.90319i | −0.0759658 | + | 0.131577i | ||||
\(881\) | −33.8935 | −1.14190 | −0.570951 | − | 0.820984i | \(-0.693425\pi\) | ||||
−0.570951 | + | 0.820984i | \(0.693425\pi\) | |||||||
\(882\) | −26.2609 | −0.884250 | ||||||||
\(883\) | −10.5331 | + | 18.2439i | −0.354467 | + | 0.613954i | −0.987027 | − | 0.160557i | \(-0.948671\pi\) |
0.632560 | + | 0.774512i | \(0.282004\pi\) | |||||||
\(884\) | 75.8181 | − | 131.321i | 2.55004 | − | 4.41680i | ||||
\(885\) | 3.41168 | 0.114682 | ||||||||
\(886\) | −50.2029 | −1.68660 | ||||||||
\(887\) | −3.60738 | + | 6.24816i | −0.121124 | + | 0.209793i | −0.920211 | − | 0.391422i | \(-0.871983\pi\) |
0.799087 | + | 0.601215i | \(0.205317\pi\) | |||||||
\(888\) | −6.66630 | − | 11.5464i | −0.223706 | − | 0.387471i | ||||
\(889\) | −1.44687 | + | 2.50605i | −0.0485264 | + | 0.0840501i | ||||
\(890\) | −3.93673 | − | 6.81862i | −0.131960 | − | 0.228561i | ||||
\(891\) | −0.858986 | − | 1.48781i | −0.0287771 | − | 0.0498434i | ||||
\(892\) | 88.7356 | 2.97109 | ||||||||
\(893\) | 11.8961 | + | 2.57107i | 0.398087 | + | 0.0860374i | ||||
\(894\) | 2.86946 | 0.0959693 | ||||||||
\(895\) | −6.46837 | − | 11.2035i | −0.216214 | − | 0.374493i | ||||
\(896\) | 1.76564 | + | 3.05818i | 0.0589860 | + | 0.102167i | ||||
\(897\) | 24.6737 | − | 42.7360i | 0.823830 | − | 1.42691i | ||||
\(898\) | 24.7694 | + | 42.9019i | 0.826567 | + | 1.43166i | ||||
\(899\) | −0.278124 | + | 0.481725i | −0.00927595 | + | 0.0160664i | ||||
\(900\) | −6.45779 | −0.215260 | ||||||||
\(901\) | 31.0020 | 1.03283 | ||||||||
\(902\) | 7.05780 | − | 12.2245i | 0.234999 | − | 0.407031i | ||||
\(903\) | 0.989423 | − | 1.71373i | 0.0329259 | − | 0.0570294i | ||||
\(904\) | −71.5480 | −2.37965 | ||||||||
\(905\) | 18.6124 | 0.618697 | ||||||||
\(906\) | −1.48863 | + | 2.57839i | −0.0494565 | + | 0.0856612i | ||||
\(907\) | −0.584322 | − | 1.01208i | −0.0194021 | − | 0.0336054i | 0.856161 | − | 0.516709i | \(-0.172843\pi\) |
−0.875563 | + | 0.483103i | \(0.839510\pi\) | |||||||
\(908\) | −8.57028 | + | 14.8442i | −0.284415 | + | 0.492621i | ||||
\(909\) | −5.57184 | − | 9.65071i | −0.184806 | − | 0.320094i | ||||
\(910\) | −1.39062 | − | 2.40862i | −0.0460986 | − | 0.0798451i | ||||
\(911\) | −12.3313 | −0.408553 | −0.204276 | − | 0.978913i | \(-0.565484\pi\) | ||||
−0.204276 | + | 0.978913i | \(0.565484\pi\) | |||||||
\(912\) | −30.1530 | − | 6.51689i | −0.998467 | − | 0.215796i | ||||
\(913\) | 7.40856 | 0.245188 | ||||||||
\(914\) | −43.2018 | − | 74.8278i | −1.42899 | − | 2.47508i | ||||
\(915\) | −7.68824 | − | 13.3164i | −0.254165 | − | 0.440227i | ||||
\(916\) | −7.58276 | + | 13.1337i | −0.250542 | + | 0.433951i | ||||
\(917\) | 0.788701 | + | 1.36607i | 0.0260452 | + | 0.0451116i | ||||
\(918\) | −48.8553 | + | 84.6199i | −1.61247 | + | 2.79287i | ||||
\(919\) | 52.8895 | 1.74466 | 0.872332 | − | 0.488913i | \(-0.162607\pi\) | ||||
0.872332 | + | 0.488913i | \(0.162607\pi\) | |||||||
\(920\) | 46.2740 | 1.52561 | ||||||||
\(921\) | −3.59880 | + | 6.23331i | −0.118585 | + | 0.205395i | ||||
\(922\) | −9.94375 | + | 17.2231i | −0.327480 | + | 0.567212i | ||||
\(923\) | 49.2070 | 1.61967 | ||||||||
\(924\) | 0.903965 | 0.0297383 | ||||||||
\(925\) | 0.952328 | − | 1.64948i | 0.0313124 | − | 0.0542346i | ||||
\(926\) | 11.5999 | + | 20.0916i | 0.381197 | + | 0.660252i | ||||
\(927\) | 9.19570 | − | 15.9274i | 0.302027 | − | 0.523125i | ||||
\(928\) | 0.339833 | + | 0.588608i | 0.0111556 | + | 0.0193220i | ||||
\(929\) | −0.695704 | − | 1.20500i | −0.0228253 | − | 0.0395346i | 0.854387 | − | 0.519637i | \(-0.173933\pi\) |
−0.877212 | + | 0.480102i | \(0.840599\pi\) | |||||||
\(930\) | 7.67967 | 0.251826 | ||||||||
\(931\) | −9.26409 | − | 28.8466i | −0.303618 | − | 0.945410i | ||||
\(932\) | −84.7817 | −2.77712 | ||||||||
\(933\) | −9.05425 | − | 15.6824i | −0.296423 | − | 0.513419i | ||||
\(934\) | 11.8730 | + | 20.5647i | 0.388497 | + | 0.672897i | ||||
\(935\) | −2.75351 | + | 4.76922i | −0.0900494 | + | 0.155970i | ||||
\(936\) | 21.5839 | + | 37.3844i | 0.705491 | + | 1.22195i | ||||
\(937\) | 16.6847 | − | 28.8987i | 0.545065 | − | 0.944080i | −0.453538 | − | 0.891237i | \(-0.649838\pi\) |
0.998603 | − | 0.0528430i | \(-0.0168283\pi\) | |||||||
\(938\) | −5.87970 | −0.191979 | ||||||||
\(939\) | −7.20250 | −0.235045 | ||||||||
\(940\) | −5.98240 | + | 10.3618i | −0.195125 | + | 0.337966i | ||||
\(941\) | −17.6616 | + | 30.5908i | −0.575753 | + | 0.997233i | 0.420207 | + | 0.907428i | \(0.361958\pi\) |
−0.995959 | + | 0.0898043i | \(0.971376\pi\) | |||||||
\(942\) | −8.31633 | −0.270961 | ||||||||
\(943\) | −58.4467 | −1.90329 | ||||||||
\(944\) | 8.08632 | − | 14.0059i | 0.263187 | − | 0.455854i | ||||
\(945\) | 0.610938 | + | 1.05818i | 0.0198738 | + | 0.0344225i | ||||
\(946\) | −7.11951 | + | 12.3314i | −0.231475 | + | 0.400927i | ||||
\(947\) | −6.62853 | − | 11.4810i | −0.215398 | − | 0.373081i | 0.737997 | − | 0.674804i | \(-0.235772\pi\) |
−0.953396 | + | 0.301723i | \(0.902438\pi\) | |||||||
\(948\) | −4.14769 | − | 7.18400i | −0.134711 | − | 0.233326i | ||||
\(949\) | 70.3865 | 2.28484 | ||||||||
\(950\) | −3.34139 | − | 10.4045i | −0.108409 | − | 0.337565i | ||||
\(951\) | −5.08131 | −0.164773 | ||||||||
\(952\) | −4.49800 | − | 7.79076i | −0.145781 | − | 0.252500i | ||||
\(953\) | −9.13511 | − | 15.8225i | −0.295915 | − | 0.512540i | 0.679282 | − | 0.733877i | \(-0.262291\pi\) |
−0.975197 | + | 0.221337i | \(0.928958\pi\) | |||||||
\(954\) | −8.27501 | + | 14.3327i | −0.267913 | + | 0.464039i | ||||
\(955\) | −11.5211 | − | 19.9551i | −0.372813 | − | 0.645730i | ||||
\(956\) | −50.9377 | + | 88.2268i | −1.64744 | + | 2.85346i | ||||
\(957\) | −0.210953 | −0.00681916 | ||||||||
\(958\) | 87.0308 | 2.81184 | ||||||||
\(959\) | 0.601918 | − | 1.04255i | 0.0194369 | − | 0.0336658i | ||||
\(960\) | −2.38550 | + | 4.13181i | −0.0769918 | + | 0.133354i | ||||
\(961\) | −24.7149 | −0.797253 | ||||||||
\(962\) | −23.8750 | −0.769762 | ||||||||
\(963\) | −1.23090 | + | 2.13197i | −0.0396651 | + | 0.0687019i | ||||
\(964\) | 9.73201 | + | 16.8563i | 0.313447 | + | 0.542906i | ||||
\(965\) | −8.53865 | + | 14.7894i | −0.274869 | + | 0.476087i | ||||
\(966\) | −2.74493 | − | 4.75436i | −0.0883168 | − | 0.152969i | ||||
\(967\) | 22.5562 | + | 39.0686i | 0.725360 | + | 1.25636i | 0.958826 | + | 0.283995i | \(0.0916600\pi\) |
−0.233466 | + | 0.972365i | \(0.575007\pi\) | |||||||
\(968\) | 59.5491 | 1.91398 | ||||||||
\(969\) | −36.8433 | − | 7.96283i | −1.18358 | − | 0.255803i | ||||
\(970\) | −15.9508 | −0.512148 | ||||||||
\(971\) | −7.80118 | − | 13.5120i | −0.250352 | − | 0.433622i | 0.713271 | − | 0.700888i | \(-0.247213\pi\) |
−0.963623 | + | 0.267266i | \(0.913880\pi\) | |||||||
\(972\) | −29.6175 | − | 51.2990i | −0.949982 | − | 1.64542i | ||||
\(973\) | 0.396081 | − | 0.686032i | 0.0126978 | − | 0.0219932i | ||||
\(974\) | −35.7338 | − | 61.8928i | −1.14499 | − | 1.98317i | ||||
\(975\) | 3.05469 | − | 5.29088i | 0.0978284 | − | 0.169444i | ||||
\(976\) | −72.8904 | −2.33317 | ||||||||
\(977\) | 26.2319 | 0.839233 | 0.419617 | − | 0.907701i | \(-0.362165\pi\) | ||||
0.419617 | + | 0.907701i | \(0.362165\pi\) | |||||||
\(978\) | −4.90710 | + | 8.49935i | −0.156912 | + | 0.271779i | ||||
\(979\) | 1.22188 | − | 2.11635i | 0.0390513 | − | 0.0676389i | ||||
\(980\) | 29.7850 | 0.951448 | ||||||||
\(981\) | 11.4781 | 0.366466 | ||||||||
\(982\) | −39.0967 | + | 67.7175i | −1.24763 | + | 2.16095i | ||||
\(983\) | 17.1706 | + | 29.7404i | 0.547659 | + | 0.948572i | 0.998434 | + | 0.0559353i | \(0.0178140\pi\) |
−0.450776 | + | 0.892637i | \(0.648853\pi\) | |||||||
\(984\) | −25.3257 | + | 43.8654i | −0.807354 | + | 1.39838i | ||||
\(985\) | −4.41012 | − | 7.63855i | −0.140518 | − | 0.243384i | ||||
\(986\) | 1.96837 | + | 3.40931i | 0.0626856 | + | 0.108575i | ||||
\(987\) | 0.756969 | 0.0240946 | ||||||||
\(988\) | −62.7284 | + | 69.1904i | −1.99565 | + | 2.20124i | ||||
\(989\) | 58.9577 | 1.87475 | ||||||||
\(990\) | −1.46992 | − | 2.54598i | −0.0467173 | − | 0.0809167i | ||||
\(991\) | −1.65159 | − | 2.86064i | −0.0524645 | − | 0.0908712i | 0.838600 | − | 0.544747i | \(-0.183374\pi\) |
−0.891065 | + | 0.453876i | \(0.850041\pi\) | |||||||
\(992\) | 3.83983 | − | 6.65079i | 0.121915 | − | 0.211163i | ||||
\(993\) | −6.52461 | − | 11.3010i | −0.207052 | − | 0.358625i | ||||
\(994\) | 2.73713 | − | 4.74084i | 0.0868163 | − | 0.150370i | ||||
\(995\) | 2.85543 | 0.0905231 | ||||||||
\(996\) | −49.8514 | −1.57960 | ||||||||
\(997\) | −4.91168 | + | 8.50727i | −0.155554 | + | 0.269428i | −0.933261 | − | 0.359200i | \(-0.883050\pi\) |
0.777706 | + | 0.628628i | \(0.216383\pi\) | |||||||
\(998\) | 20.2902 | − | 35.1436i | 0.642274 | − | 1.11245i | ||||
\(999\) | 10.4890 | 0.331857 |
(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 | 95.2.e.b.26.3 | yes | 6 | |
3.2 | odd | 2 | 855.2.k.g.406.1 | 6 | |||
4.3 | odd | 2 | 1520.2.q.j.881.2 | 6 | |||
5.2 | odd | 4 | 475.2.j.b.349.1 | 12 | |||
5.3 | odd | 4 | 475.2.j.b.349.6 | 12 | |||
5.4 | even | 2 | 475.2.e.d.26.1 | 6 | |||
19.7 | even | 3 | 1805.2.a.h.1.1 | 3 | |||
19.11 | even | 3 | inner | 95.2.e.b.11.3 | ✓ | 6 | |
19.12 | odd | 6 | 1805.2.a.g.1.3 | 3 | |||
57.11 | odd | 6 | 855.2.k.g.676.1 | 6 | |||
76.11 | odd | 6 | 1520.2.q.j.961.2 | 6 | |||
95.49 | even | 6 | 475.2.e.d.201.1 | 6 | |||
95.64 | even | 6 | 9025.2.a.z.1.3 | 3 | |||
95.68 | odd | 12 | 475.2.j.b.49.1 | 12 | |||
95.69 | odd | 6 | 9025.2.a.ba.1.1 | 3 | |||
95.87 | odd | 12 | 475.2.j.b.49.6 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
95.2.e.b.11.3 | ✓ | 6 | 19.11 | even | 3 | inner | |
95.2.e.b.26.3 | yes | 6 | 1.1 | even | 1 | trivial | |
475.2.e.d.26.1 | 6 | 5.4 | even | 2 | |||
475.2.e.d.201.1 | 6 | 95.49 | even | 6 | |||
475.2.j.b.49.1 | 12 | 95.68 | odd | 12 | |||
475.2.j.b.49.6 | 12 | 95.87 | odd | 12 | |||
475.2.j.b.349.1 | 12 | 5.2 | odd | 4 | |||
475.2.j.b.349.6 | 12 | 5.3 | odd | 4 | |||
855.2.k.g.406.1 | 6 | 3.2 | odd | 2 | |||
855.2.k.g.676.1 | 6 | 57.11 | odd | 6 | |||
1520.2.q.j.881.2 | 6 | 4.3 | odd | 2 | |||
1520.2.q.j.961.2 | 6 | 76.11 | odd | 6 | |||
1805.2.a.g.1.3 | 3 | 19.12 | odd | 6 | |||
1805.2.a.h.1.1 | 3 | 19.7 | even | 3 | |||
9025.2.a.z.1.3 | 3 | 95.64 | even | 6 | |||
9025.2.a.ba.1.1 | 3 | 95.69 | odd | 6 |