Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [864,2,Mod(107,864)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(864, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([4, 5, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("864.107");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 864 = 2^{5} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 864.w (of order \(8\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.89907473464\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 107.5 | ||
Character | \(\chi\) | \(=\) | 864.107 |
Dual form | 864.2.w.b.323.5 |
$q$-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 \(\left(\mathbb{Z}/864\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(353\) | \(703\) |
\(\chi(n)\) | \(e\left(\frac{5}{8}\right)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.31642 | − | 0.516757i | −0.930850 | − | 0.365403i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.46592 | + | 1.36054i | 0.732962 | + | 0.680270i | ||||
\(5\) | −2.69312 | − | 1.11553i | −1.20440 | − | 0.498878i | −0.311981 | − | 0.950088i | \(-0.600993\pi\) |
−0.892418 | + | 0.451210i | \(0.850993\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.0380585 | − | 0.0380585i | 0.0143848 | − | 0.0143848i | −0.699878 | − | 0.714263i | \(-0.746762\pi\) |
0.714263 | + | 0.699878i | \(0.246762\pi\) | |||||||
\(8\) | −1.22670 | − | 2.54857i | −0.433705 | − | 0.901055i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 2.96882 | + | 2.86019i | 0.938823 | + | 0.904471i | ||||
\(11\) | 3.03924 | + | 1.25889i | 0.916365 | + | 0.379571i | 0.790490 | − | 0.612475i | \(-0.209826\pi\) |
0.125875 | + | 0.992046i | \(0.459826\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.123691 | + | 0.298617i | 0.0343057 | + | 0.0828214i | 0.940104 | − | 0.340888i | \(-0.110728\pi\) |
−0.905798 | + | 0.423710i | \(0.860728\pi\) | |||||||
\(14\) | −0.0697680 | + | 0.0304340i | −0.0186463 | + | 0.00813382i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.297865 | + | 3.98889i | 0.0744663 | + | 0.997224i | ||||
\(17\) | −7.46409 | −1.81031 | −0.905154 | − | 0.425085i | \(-0.860244\pi\) | ||||
−0.905154 | + | 0.425085i | \(0.860244\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.56625 | + | 0.648761i | −0.359322 | + | 0.148836i | −0.555039 | − | 0.831824i | \(-0.687297\pi\) |
0.195717 | + | 0.980660i | \(0.437297\pi\) | |||||||
\(20\) | −2.43019 | − | 5.29937i | −0.543407 | − | 1.18498i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −3.35037 | − | 3.22778i | −0.714302 | − | 0.688166i | ||||
\(23\) | 2.75950 | − | 2.75950i | 0.575397 | − | 0.575397i | −0.358235 | − | 0.933631i | \(-0.616621\pi\) |
0.933631 | + | 0.358235i | \(0.116621\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.47295 | + | 2.47295i | 0.494591 | + | 0.494591i | ||||
\(26\) | −0.00851708 | − | 0.457023i | −0.00167034 | − | 0.0896297i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.107571 | − | 0.00401077i | 0.0203290 | − | 0.000757965i | ||||
\(29\) | 3.05231 | + | 7.36893i | 0.566800 | + | 1.36838i | 0.904238 | + | 0.427029i | \(0.140440\pi\) |
−0.337438 | + | 0.941348i | \(0.609560\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 0.333789i | − | 0.0599503i | −0.999551 | − | 0.0299752i | \(-0.990457\pi\) | ||
0.999551 | − | 0.0299752i | \(-0.00954282\pi\) | |||||||
\(32\) | 1.66917 | − | 5.40498i | 0.295071 | − | 0.955475i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 9.82588 | + | 3.85712i | 1.68512 | + | 0.661491i | ||||
\(35\) | −0.144951 | + | 0.0600408i | −0.0245012 | + | 0.0101487i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.638002 | − | 1.54027i | 0.104887 | − | 0.253219i | −0.862720 | − | 0.505683i | \(-0.831241\pi\) |
0.967606 | + | 0.252463i | \(0.0812407\pi\) | |||||||
\(38\) | 2.39709 | − | 0.0446722i | 0.388860 | − | 0.00724678i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.460662 | + | 8.23201i | 0.0728370 | + | 1.30160i | ||||
\(41\) | 5.89478 | + | 5.89478i | 0.920610 | + | 0.920610i | 0.997072 | − | 0.0764629i | \(-0.0243627\pi\) |
−0.0764629 | + | 0.997072i | \(0.524363\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.45562 | + | 3.51419i | −0.221981 | + | 0.535908i | −0.995159 | − | 0.0982803i | \(-0.968666\pi\) |
0.773178 | + | 0.634189i | \(0.218666\pi\) | |||||||
\(44\) | 2.74252 | + | 5.98045i | 0.413450 | + | 0.901586i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −5.05866 | + | 2.20667i | −0.745859 | + | 0.325356i | ||||
\(47\) | 6.87578i | 1.00294i | 0.865176 | + | 0.501468i | \(0.167206\pi\) | ||||
−0.865176 | + | 0.501468i | \(0.832794\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.99710i | 0.999586i | ||||||||
\(50\) | −1.97753 | − | 4.53336i | −0.279665 | − | 0.641114i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.224958 | + | 0.606036i | −0.0311961 | + | 0.0840421i | ||||
\(53\) | 1.19539 | − | 2.88592i | 0.164199 | − | 0.396411i | −0.820268 | − | 0.571979i | \(-0.806176\pi\) |
0.984467 | + | 0.175567i | \(0.0561760\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −6.78070 | − | 6.78070i | −0.914310 | − | 0.914310i | ||||
\(56\) | −0.143681 | − | 0.0503082i | −0.0192002 | − | 0.00672272i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.210175 | − | 11.2779i | −0.0275973 | − | 1.48086i | ||||
\(59\) | −4.07833 | + | 9.84595i | −0.530953 | + | 1.28183i | 0.399940 | + | 0.916541i | \(0.369031\pi\) |
−0.930893 | + | 0.365292i | \(0.880969\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 11.3722 | − | 4.71053i | 1.45606 | − | 0.603121i | 0.492431 | − | 0.870352i | \(-0.336109\pi\) |
0.963633 | + | 0.267231i | \(0.0861085\pi\) | |||||||
\(62\) | −0.172488 | + | 0.439407i | −0.0219060 | + | 0.0558048i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −4.99040 | + | 6.25267i | −0.623800 | + | 0.781584i | ||||
\(65\) | − | 0.942191i | − | 0.116864i | ||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.24516 | + | 10.2487i | 0.518629 | + | 1.25208i | 0.938746 | + | 0.344610i | \(0.111989\pi\) |
−0.420117 | + | 0.907470i | \(0.638011\pi\) | |||||||
\(68\) | −10.9418 | − | 10.1552i | −1.32689 | − | 1.23150i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.221843 | − | 0.00413427i | 0.0265153 | − | 0.000494139i | ||||
\(71\) | −3.99793 | − | 3.99793i | −0.474467 | − | 0.474467i | 0.428890 | − | 0.903357i | \(-0.358905\pi\) |
−0.903357 | + | 0.428890i | \(0.858905\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −8.16699 | + | 8.16699i | −0.955874 | + | 0.955874i | −0.999067 | − | 0.0431930i | \(-0.986247\pi\) |
0.0431930 | + | 0.999067i | \(0.486247\pi\) | |||||||
\(74\) | −1.63583 | + | 1.69795i | −0.190161 | + | 0.197383i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −3.17867 | − | 1.17991i | −0.364618 | − | 0.135345i | ||||
\(77\) | 0.163580 | − | 0.0677572i | 0.0186417 | − | 0.00772165i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −4.13365 | −0.465072 | −0.232536 | − | 0.972588i | \(-0.574702\pi\) | ||||
−0.232536 | + | 0.972588i | \(0.574702\pi\) | |||||||
\(80\) | 3.64753 | − | 11.0748i | 0.407806 | − | 1.23820i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −4.71383 | − | 10.8062i | −0.520556 | − | 1.19334i | ||||
\(83\) | 2.38218 | + | 5.75109i | 0.261478 | + | 0.631264i | 0.999030 | − | 0.0440260i | \(-0.0140184\pi\) |
−0.737552 | + | 0.675290i | \(0.764018\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 20.1017 | + | 8.32638i | 2.18033 | + | 0.903123i | ||||
\(86\) | 3.73219 | − | 3.87394i | 0.402453 | − | 0.417738i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.519866 | − | 9.29000i | −0.0554179 | − | 0.990317i | ||||
\(89\) | −7.59808 | + | 7.59808i | −0.805395 | + | 0.805395i | −0.983933 | − | 0.178538i | \(-0.942863\pi\) |
0.178538 | + | 0.983933i | \(0.442863\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.0160724 | + | 0.00665741i | 0.00168485 | + | 0.000697886i | ||||
\(92\) | 7.79964 | − | 0.290809i | 0.813169 | − | 0.0303189i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 3.55311 | − | 9.05142i | 0.366475 | − | 0.933582i | ||||
\(95\) | 4.94180 | 0.507018 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 6.88547 | 0.699114 | 0.349557 | − | 0.936915i | \(-0.386332\pi\) | ||||
0.349557 | + | 0.936915i | \(0.386332\pi\) | |||||||
\(98\) | 3.61580 | − | 9.21113i | 0.365251 | − | 0.930464i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.260611 | + | 6.98971i | 0.0260611 | + | 0.698971i | ||||
\(101\) | 16.3819 | + | 6.78560i | 1.63006 | + | 0.675192i | 0.995239 | − | 0.0974674i | \(-0.0310742\pi\) |
0.634820 | + | 0.772660i | \(0.281074\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.17517 | + | 4.17517i | −0.411392 | + | 0.411392i | −0.882223 | − | 0.470831i | \(-0.843954\pi\) |
0.470831 | + | 0.882223i | \(0.343954\pi\) | |||||||
\(104\) | 0.609313 | − | 0.681549i | 0.0597481 | − | 0.0668314i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −3.06495 | + | 3.18136i | −0.297694 | + | 0.309001i | ||||
\(107\) | 13.5990 | + | 5.63288i | 1.31466 | + | 0.544551i | 0.926242 | − | 0.376931i | \(-0.123020\pi\) |
0.388421 | + | 0.921482i | \(0.373020\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.712579 | + | 1.72032i | 0.0682527 | + | 0.164777i | 0.954325 | − | 0.298771i | \(-0.0965765\pi\) |
−0.886072 | + | 0.463547i | \(0.846577\pi\) | |||||||
\(110\) | 5.42227 | + | 12.4302i | 0.516994 | + | 1.18518i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.163148 | + | 0.140475i | 0.0154160 | + | 0.0132736i | ||||
\(113\) | −5.29938 | −0.498523 | −0.249262 | − | 0.968436i | \(-0.580188\pi\) | ||||
−0.249262 | + | 0.968436i | \(0.580188\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −10.5100 | + | 4.35337i | −0.980060 | + | 0.405954i | ||||
\(116\) | −5.55127 | + | 14.9551i | −0.515422 | + | 1.38854i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 10.4568 | − | 10.8539i | 0.962623 | − | 0.999183i | ||||
\(119\) | −0.284072 | + | 0.284072i | −0.0260408 | + | 0.0260408i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.126014 | − | 0.126014i | −0.0114559 | − | 0.0114559i | ||||
\(122\) | −17.4048 | + | 0.324356i | −1.57576 | + | 0.0293658i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.454134 | − | 0.489310i | 0.0407824 | − | 0.0439413i | ||||
\(125\) | 1.67632 | + | 4.04699i | 0.149934 | + | 0.361974i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 9.98032i | − | 0.885610i | −0.896618 | − | 0.442805i | \(-0.853983\pi\) | ||
0.896618 | − | 0.442805i | \(-0.146017\pi\) | |||||||
\(128\) | 9.80058 | − | 5.65232i | 0.866257 | − | 0.499599i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.486884 | + | 1.24032i | −0.0427026 | + | 0.108783i | ||||
\(131\) | −15.0414 | + | 6.23037i | −1.31418 | + | 0.544350i | −0.926100 | − | 0.377278i | \(-0.876860\pi\) |
−0.388076 | + | 0.921627i | \(0.626860\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.0349182 | + | 0.0842999i | −0.00302779 | + | 0.00730973i | ||||
\(134\) | −0.292312 | − | 15.6853i | −0.0252519 | − | 1.35501i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 9.15622 | + | 19.0227i | 0.785139 | + | 1.63119i | ||||
\(137\) | 3.83745 | + | 3.83745i | 0.327855 | + | 0.327855i | 0.851770 | − | 0.523915i | \(-0.175529\pi\) |
−0.523915 | + | 0.851770i | \(0.675529\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 5.86851 | − | 14.1678i | 0.497761 | − | 1.20170i | −0.452926 | − | 0.891548i | \(-0.649620\pi\) |
0.950687 | − | 0.310153i | \(-0.100380\pi\) | |||||||
\(140\) | −0.294175 | − | 0.109197i | −0.0248624 | − | 0.00922880i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 3.19700 | + | 7.32891i | 0.268286 | + | 0.615029i | ||||
\(143\) | 1.06328i | 0.0889161i | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | − | 23.2503i | − | 1.93084i | ||||||
\(146\) | 14.9715 | − | 6.53084i | 1.23905 | − | 0.540496i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 3.03087 | − | 1.38990i | 0.249136 | − | 0.114249i | ||||
\(149\) | 3.69293 | − | 8.91553i | 0.302537 | − | 0.730388i | −0.697370 | − | 0.716712i | \(-0.745646\pi\) |
0.999906 | − | 0.0136768i | \(-0.00435359\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −13.0693 | − | 13.0693i | −1.06356 | − | 1.06356i | −0.997838 | − | 0.0657253i | \(-0.979064\pi\) |
−0.0657253 | − | 0.997838i | \(-0.520936\pi\) | |||||||
\(152\) | 3.57473 | + | 3.19585i | 0.289949 | + | 0.259218i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.250355 | + | 0.00466560i | −0.0201742 | + | 0.000375965i | ||||
\(155\) | −0.372351 | + | 0.898934i | −0.0299079 | + | 0.0722041i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −10.4553 | + | 4.33071i | −0.834421 | + | 0.345628i | −0.758651 | − | 0.651497i | \(-0.774141\pi\) |
−0.0757694 | + | 0.997125i | \(0.524141\pi\) | |||||||
\(158\) | 5.44161 | + | 2.13609i | 0.432912 | + | 0.169938i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −10.5247 | + | 12.6943i | −0.832049 | + | 1.00357i | ||||
\(161\) | − | 0.210045i | − | 0.0165539i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −5.67045 | − | 13.6897i | −0.444144 | − | 1.07226i | −0.974481 | − | 0.224471i | \(-0.927935\pi\) |
0.530337 | − | 0.847787i | \(-0.322065\pi\) | |||||||
\(164\) | 0.621218 | + | 16.6614i | 0.0485090 | + | 1.30103i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.164031 | − | 8.80186i | −0.0127313 | − | 0.683157i | ||||
\(167\) | −17.9456 | − | 17.9456i | −1.38867 | − | 1.38867i | −0.828125 | − | 0.560543i | \(-0.810592\pi\) |
−0.560543 | − | 0.828125i | \(-0.689408\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 9.11852 | − | 9.11852i | 0.701424 | − | 0.701424i | ||||
\(170\) | −22.1595 | − | 21.3487i | −1.69956 | − | 1.63737i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −6.91502 | + | 3.17110i | −0.527266 | + | 0.241794i | ||||
\(173\) | 7.13683 | − | 2.95617i | 0.542603 | − | 0.224754i | −0.0945098 | − | 0.995524i | \(-0.530128\pi\) |
0.637113 | + | 0.770770i | \(0.280128\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.188234 | 0.0142291 | ||||||||
\(176\) | −4.11631 | + | 12.4982i | −0.310279 | + | 0.942086i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 13.9286 | − | 6.07590i | 1.04399 | − | 0.455408i | ||||
\(179\) | 5.22075 | + | 12.6040i | 0.390217 | + | 0.942067i | 0.989892 | + | 0.141823i | \(0.0452965\pi\) |
−0.599675 | + | 0.800244i | \(0.704703\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −0.940530 | − | 0.389580i | −0.0699091 | − | 0.0289573i | 0.347455 | − | 0.937697i | \(-0.387046\pi\) |
−0.417364 | + | 0.908739i | \(0.637046\pi\) | |||||||
\(182\) | −0.0177178 | − | 0.0170695i | −0.00131333 | − | 0.00126527i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −10.4179 | − | 3.64769i | −0.768016 | − | 0.268912i | ||||
\(185\) | −3.43643 | + | 3.43643i | −0.252651 | + | 0.252651i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −22.6851 | − | 9.39650i | −1.65890 | − | 0.687140i | ||||
\(188\) | −9.35477 | + | 10.0794i | −0.682267 | + | 0.735114i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −6.50549 | − | 2.55371i | −0.471958 | − | 0.185266i | ||||
\(191\) | −5.85056 | −0.423331 | −0.211666 | − | 0.977342i | \(-0.567889\pi\) | ||||
−0.211666 | + | 0.977342i | \(0.567889\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 12.9601 | 0.932891 | 0.466445 | − | 0.884550i | \(-0.345534\pi\) | ||||
0.466445 | + | 0.884550i | \(0.345534\pi\) | |||||||
\(194\) | −9.06418 | − | 3.55812i | −0.650770 | − | 0.255458i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −9.51983 | + | 10.2572i | −0.679988 | + | 0.732659i | ||||
\(197\) | 13.5069 | + | 5.59474i | 0.962326 | + | 0.398609i | 0.807850 | − | 0.589388i | \(-0.200631\pi\) |
0.154476 | + | 0.987997i | \(0.450631\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −18.7847 | + | 18.7847i | −1.33161 | + | 1.33161i | −0.427682 | + | 0.903929i | \(0.640670\pi\) |
−0.903929 | + | 0.427682i | \(0.859330\pi\) | |||||||
\(200\) | 3.26891 | − | 9.33607i | 0.231147 | − | 0.660160i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −18.0589 | − | 17.3982i | −1.27062 | − | 1.22413i | ||||
\(203\) | 0.396617 | + | 0.164284i | 0.0278370 | + | 0.0115305i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −9.29955 | − | 22.4511i | −0.649509 | − | 1.56805i | ||||
\(206\) | 7.65383 | − | 3.33873i | 0.533268 | − | 0.232620i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −1.15431 | + | 0.582338i | −0.0800368 | + | 0.0403779i | ||||
\(209\) | −5.57692 | −0.385764 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.35533 | + | 0.975608i | −0.162147 | + | 0.0671636i | −0.462281 | − | 0.886734i | \(-0.652969\pi\) |
0.300133 | + | 0.953897i | \(0.402969\pi\) | |||||||
\(212\) | 5.67875 | − | 2.60417i | 0.390018 | − | 0.178855i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −14.9911 | − | 14.4426i | −1.02477 | − | 0.987277i | ||||
\(215\) | 7.84033 | − | 7.84033i | 0.534706 | − | 0.534706i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.0127035 | − | 0.0127035i | −0.000862371 | − | 0.000862371i | ||||
\(218\) | −0.0490665 | − | 2.63289i | −0.00332320 | − | 0.178322i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.714580 | − | 19.1654i | −0.0481770 | − | 1.29213i | ||||
\(221\) | −0.923241 | − | 2.22890i | −0.0621039 | − | 0.149932i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 9.95599i | 0.666702i | 0.942803 | + | 0.333351i | \(0.108179\pi\) | ||||
−0.942803 | + | 0.333351i | \(0.891821\pi\) | |||||||
\(224\) | −0.142179 | − | 0.269232i | −0.00949975 | − | 0.0179888i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 6.97621 | + | 2.73849i | 0.464050 | + | 0.182162i | ||||
\(227\) | −19.2809 | + | 7.98641i | −1.27972 | + | 0.530077i | −0.915905 | − | 0.401395i | \(-0.868525\pi\) |
−0.363814 | + | 0.931472i | \(0.618525\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −7.43755 | + | 17.9558i | −0.491487 | + | 1.18655i | 0.462476 | + | 0.886632i | \(0.346961\pi\) |
−0.953963 | + | 0.299923i | \(0.903039\pi\) | |||||||
\(230\) | 16.0852 | − | 0.299763i | 1.06063 | − | 0.0197658i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 15.0360 | − | 16.8185i | 0.987158 | − | 1.10419i | ||||
\(233\) | −17.0409 | − | 17.0409i | −1.11639 | − | 1.11639i | −0.992267 | − | 0.124121i | \(-0.960389\pi\) |
−0.124121 | − | 0.992267i | \(-0.539611\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 7.67011 | − | 18.5173i | 0.500343 | − | 1.20793i | ||||
\(236\) | −19.3743 | + | 8.88469i | −1.26116 | + | 0.578344i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.520754 | − | 0.227162i | 0.0337555 | − | 0.0147247i | ||||
\(239\) | − | 12.8506i | − | 0.831236i | −0.909539 | − | 0.415618i | \(-0.863565\pi\) | ||
0.909539 | − | 0.415618i | \(-0.136435\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 16.8642i | 1.08632i | 0.839630 | + | 0.543159i | \(0.182772\pi\) | ||||
−0.839630 | + | 0.543159i | \(0.817228\pi\) | |||||||
\(242\) | 0.100769 | + | 0.231007i | 0.00647768 | + | 0.0148497i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 23.0797 | + | 8.56708i | 1.47752 | + | 0.548451i | ||||
\(245\) | 7.80545 | − | 18.8440i | 0.498672 | − | 1.20390i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.387462 | − | 0.387462i | −0.0246536 | − | 0.0246536i | ||||
\(248\) | −0.850685 | + | 0.409460i | −0.0540186 | + | 0.0260008i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −0.115427 | − | 6.19379i | −0.00730027 | − | 0.391730i | ||||
\(251\) | 9.26264 | − | 22.3620i | 0.584653 | − | 1.41148i | −0.303901 | − | 0.952704i | \(-0.598289\pi\) |
0.888553 | − | 0.458773i | \(-0.151711\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 11.8607 | − | 4.91287i | 0.745677 | − | 0.308870i | ||||
\(254\) | −5.15740 | + | 13.1383i | −0.323604 | + | 0.824370i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −15.8226 | + | 2.37631i | −0.988910 | + | 0.148519i | ||||
\(257\) | − | 7.94127i | − | 0.495363i | −0.968842 | − | 0.247681i | \(-0.920331\pi\) | ||
0.968842 | − | 0.247681i | \(-0.0796686\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.0343391 | − | 0.0829019i | −0.00213373 | − | 0.00515127i | ||||
\(260\) | 1.28189 | − | 1.38118i | 0.0794993 | − | 0.0856572i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 23.0204 | − | 0.429008i | 1.42221 | − | 0.0265042i | ||||
\(263\) | −9.04114 | − | 9.04114i | −0.557500 | − | 0.557500i | 0.371095 | − | 0.928595i | \(-0.378983\pi\) |
−0.928595 | + | 0.371095i | \(0.878983\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −6.43863 | + | 6.43863i | −0.395522 | + | 0.395522i | ||||
\(266\) | 0.0895296 | − | 0.0929299i | 0.00548941 | − | 0.00569790i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −7.72071 | + | 20.7995i | −0.471617 | + | 1.27053i | ||||
\(269\) | −11.8206 | + | 4.89625i | −0.720714 | + | 0.298530i | −0.712730 | − | 0.701439i | \(-0.752541\pi\) |
−0.00798417 | + | 0.999968i | \(0.502541\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 13.2128 | 0.802619 | 0.401310 | − | 0.915942i | \(-0.368555\pi\) | ||||
0.401310 | + | 0.915942i | \(0.368555\pi\) | |||||||
\(272\) | −2.22329 | − | 29.7735i | −0.134807 | − | 1.80528i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −3.06866 | − | 7.03472i | −0.185385 | − | 0.424983i | ||||
\(275\) | 4.40271 | + | 10.6291i | 0.265493 | + | 0.640958i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 3.35478 | + | 1.38959i | 0.201569 | + | 0.0834926i | 0.481184 | − | 0.876620i | \(-0.340207\pi\) |
−0.279615 | + | 0.960112i | \(0.590207\pi\) | |||||||
\(278\) | −15.0468 | + | 15.6182i | −0.902445 | + | 0.936720i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.330830 | + | 0.295766i | 0.0197709 | + | 0.0176754i | ||||
\(281\) | 0.768569 | − | 0.768569i | 0.0458490 | − | 0.0458490i | −0.683811 | − | 0.729660i | \(-0.739679\pi\) |
0.729660 | + | 0.683811i | \(0.239679\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −6.72644 | − | 2.78618i | −0.399845 | − | 0.165621i | 0.173694 | − | 0.984800i | \(-0.444430\pi\) |
−0.573539 | + | 0.819178i | \(0.694430\pi\) | |||||||
\(284\) | −0.421320 | − | 11.3000i | −0.0250007 | − | 0.670532i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.549459 | − | 1.39973i | 0.0324902 | − | 0.0827675i | ||||
\(287\) | 0.448693 | 0.0264855 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 38.7126 | 2.27721 | ||||||||
\(290\) | −12.0148 | + | 30.6072i | −0.705532 | + | 1.79732i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −23.0837 | + | 0.860673i | −1.35087 | + | 0.0503671i | ||||
\(293\) | −0.940387 | − | 0.389521i | −0.0549380 | − | 0.0227561i | 0.355045 | − | 0.934849i | \(-0.384465\pi\) |
−0.409983 | + | 0.912093i | \(0.634465\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 21.9668 | − | 21.9668i | 1.27896 | − | 1.27896i | ||||
\(296\) | −4.70813 | + | 0.263466i | −0.273655 | + | 0.0153136i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −9.46861 | + | 9.82823i | −0.548502 | + | 0.569334i | ||||
\(299\) | 1.16536 | + | 0.482708i | 0.0673946 | + | 0.0279157i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.0783458 | + | 0.189143i | 0.00451578 | + | 0.0109020i | ||||
\(302\) | 10.4510 | + | 23.9583i | 0.601389 | + | 1.37865i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −3.05437 | − | 6.05436i | −0.175180 | − | 0.347241i | ||||
\(305\) | −35.8814 | −2.05457 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −25.7094 | + | 10.6492i | −1.46731 | + | 0.607780i | −0.966244 | − | 0.257628i | \(-0.917059\pi\) |
−0.501067 | + | 0.865409i | \(0.667059\pi\) | |||||||
\(308\) | 0.331983 | + | 0.123231i | 0.0189165 | + | 0.00702172i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0.954701 | − | 0.990960i | 0.0542234 | − | 0.0562828i | ||||
\(311\) | 11.5849 | − | 11.5849i | 0.656919 | − | 0.656919i | −0.297731 | − | 0.954650i | \(-0.596230\pi\) |
0.954650 | + | 0.297731i | \(0.0962297\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 2.58789 | + | 2.58789i | 0.146276 | + | 0.146276i | 0.776452 | − | 0.630176i | \(-0.217017\pi\) |
−0.630176 | + | 0.776452i | \(0.717017\pi\) | |||||||
\(314\) | 16.0014 | − | 0.298203i | 0.903013 | − | 0.0168285i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −6.05961 | − | 5.62399i | −0.340880 | − | 0.316374i | ||||
\(317\) | −3.26479 | − | 7.88190i | −0.183369 | − | 0.442692i | 0.805288 | − | 0.592884i | \(-0.202011\pi\) |
−0.988657 | + | 0.150192i | \(0.952011\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 26.2385i | 1.46907i | ||||||||
\(320\) | 20.4148 | − | 11.2723i | 1.14122 | − | 0.630139i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.108542 | + | 0.276508i | −0.00604883 | + | 0.0154092i | ||||
\(323\) | 11.6906 | − | 4.84241i | 0.650483 | − | 0.269439i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −0.432583 | + | 1.04435i | −0.0239954 | + | 0.0579300i | ||||
\(326\) | 0.390454 | + | 20.9516i | 0.0216252 | + | 1.16040i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 7.79210 | − | 22.2544i | 0.430247 | − | 1.22879i | ||||
\(329\) | 0.261682 | + | 0.261682i | 0.0144270 | + | 0.0144270i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −0.602296 | + | 1.45407i | −0.0331052 | + | 0.0799230i | −0.939567 | − | 0.342364i | \(-0.888772\pi\) |
0.906462 | + | 0.422287i | \(0.138772\pi\) | |||||||
\(332\) | −4.33249 | + | 11.6717i | −0.237776 | + | 0.640568i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 14.3504 | + | 32.8974i | 0.785218 | + | 1.80006i | ||||
\(335\) | − | 32.3366i | − | 1.76674i | ||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 24.7531i | − | 1.34839i | −0.738554 | − | 0.674194i | \(-0.764491\pi\) | ||
0.738554 | − | 0.674194i | \(-0.235509\pi\) | |||||||
\(338\) | −16.7159 | + | 7.29174i | −0.909223 | + | 0.396618i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 18.1391 | + | 39.5550i | 0.983733 | + | 2.14517i | ||||
\(341\) | 0.420205 | − | 1.01447i | 0.0227554 | − | 0.0549364i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0.532709 | + | 0.532709i | 0.0287636 | + | 0.0287636i | ||||
\(344\) | 10.7418 | − | 0.601107i | 0.579157 | − | 0.0324095i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −10.9227 | + | 0.203555i | −0.587208 | + | 0.0109432i | ||||
\(347\) | −8.64929 | + | 20.8812i | −0.464318 | + | 1.12096i | 0.502289 | + | 0.864700i | \(0.332491\pi\) |
−0.966607 | + | 0.256263i | \(0.917509\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −33.3789 | + | 13.8260i | −1.78673 | + | 0.740089i | −0.795828 | + | 0.605523i | \(0.792964\pi\) |
−0.990905 | + | 0.134566i | \(0.957036\pi\) | |||||||
\(350\) | −0.247795 | − | 0.0972712i | −0.0132452 | − | 0.00519936i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 11.8773 | − | 14.3257i | 0.633063 | − | 0.763564i | ||||
\(353\) | 10.5734i | 0.562766i | 0.959596 | + | 0.281383i | \(0.0907931\pi\) | ||||
−0.959596 | + | 0.281383i | \(0.909207\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 6.30710 | + | 15.2267i | 0.334746 | + | 0.808149i | ||||
\(356\) | −21.4757 | + | 0.800719i | −1.13821 | + | 0.0424380i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −0.359488 | − | 19.2900i | −0.0189995 | − | 1.01951i | ||||
\(359\) | 22.9956 | + | 22.9956i | 1.21366 | + | 1.21366i | 0.969813 | + | 0.243851i | \(0.0784107\pi\) |
0.243851 | + | 0.969813i | \(0.421589\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −11.4028 | + | 11.4028i | −0.600147 | + | 0.600147i | ||||
\(362\) | 1.03681 | + | 0.998877i | 0.0544938 | + | 0.0524998i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.0145033 | + | 0.0316264i | 0.000760177 | + | 0.00165767i | ||||
\(365\) | 31.1052 | − | 12.8842i | 1.62812 | − | 0.674389i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 32.8908 | 1.71688 | 0.858442 | − | 0.512911i | \(-0.171433\pi\) | ||||
0.858442 | + | 0.512911i | \(0.171433\pi\) | |||||||
\(368\) | 11.8293 | + | 10.1854i | 0.616647 | + | 0.530951i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 6.29959 | − | 2.74799i | 0.327500 | − | 0.142861i | ||||
\(371\) | −0.0643391 | − | 0.155328i | −0.00334032 | − | 0.00806424i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 20.2662 | + | 8.39454i | 1.04934 | + | 0.434653i | 0.839658 | − | 0.543116i | \(-0.182756\pi\) |
0.209687 | + | 0.977769i | \(0.432756\pi\) | |||||||
\(374\) | 25.0075 | + | 24.0925i | 1.29311 | + | 1.24579i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 17.5234 | − | 8.43454i | 0.903700 | − | 0.434978i | ||||
\(377\) | −1.82294 | + | 1.82294i | −0.0938864 | + | 0.0938864i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 9.65208 | + | 3.99802i | 0.495794 | + | 0.205365i | 0.616547 | − | 0.787318i | \(-0.288531\pi\) |
−0.120753 | + | 0.992683i | \(0.538531\pi\) | |||||||
\(380\) | 7.24431 | + | 6.72352i | 0.371625 | + | 0.344909i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 7.70179 | + | 3.02332i | 0.394058 | + | 0.154686i | ||||
\(383\) | −5.69346 | −0.290922 | −0.145461 | − | 0.989364i | \(-0.546467\pi\) | ||||
−0.145461 | + | 0.989364i | \(0.546467\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.516126 | −0.0263042 | ||||||||
\(386\) | −17.0610 | − | 6.69724i | −0.868381 | − | 0.340881i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 10.0936 | + | 9.36796i | 0.512424 | + | 0.475586i | ||||
\(389\) | 1.64478 | + | 0.681292i | 0.0833939 | + | 0.0345429i | 0.423990 | − | 0.905667i | \(-0.360629\pi\) |
−0.340597 | + | 0.940210i | \(0.610629\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −20.5972 | + | 20.5972i | −1.04164 | + | 1.04164i | ||||
\(392\) | 17.8326 | − | 8.58337i | 0.900682 | − | 0.433525i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −14.8896 | − | 14.3448i | −0.750128 | − | 0.722681i | ||||
\(395\) | 11.1324 | + | 4.61119i | 0.560132 | + | 0.232014i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 3.91018 | + | 9.44001i | 0.196246 | + | 0.473781i | 0.991116 | − | 0.133000i | \(-0.0424609\pi\) |
−0.794870 | + | 0.606780i | \(0.792461\pi\) | |||||||
\(398\) | 34.4357 | − | 15.0214i | 1.72610 | − | 0.752955i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −9.12774 | + | 10.6010i | −0.456387 | + | 0.530048i | ||||
\(401\) | 7.70571 | 0.384805 | 0.192402 | − | 0.981316i | \(-0.438372\pi\) | ||||
0.192402 | + | 0.981316i | \(0.438372\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.0996751 | − | 0.0412868i | 0.00496517 | − | 0.00205664i | ||||
\(404\) | 14.7825 | + | 32.2354i | 0.735458 | + | 1.60377i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −0.437219 | − | 0.421222i | −0.0216988 | − | 0.0209049i | ||||
\(407\) | 3.87808 | − | 3.87808i | 0.192229 | − | 0.192229i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 12.8680 | + | 12.8680i | 0.636282 | + | 0.636282i | 0.949636 | − | 0.313354i | \(-0.101453\pi\) |
−0.313354 | + | 0.949636i | \(0.601453\pi\) | |||||||
\(410\) | 0.640345 | + | 34.3607i | 0.0316244 | + | 1.69695i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −11.8010 | + | 0.439998i | −0.581392 | + | 0.0216772i | ||||
\(413\) | 0.219507 | + | 0.529937i | 0.0108012 | + | 0.0260765i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | − | 18.1457i | − | 0.890740i | ||||||
\(416\) | 1.82048 | − | 0.170105i | 0.0892564 | − | 0.00834009i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 7.34158 | + | 2.88192i | 0.359088 | + | 0.140959i | ||||
\(419\) | 31.6113 | − | 13.0938i | 1.54432 | − | 0.639676i | 0.562038 | − | 0.827111i | \(-0.310017\pi\) |
0.982277 | + | 0.187435i | \(0.0600174\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −5.19481 | + | 12.5414i | −0.253179 | + | 0.611229i | −0.998457 | − | 0.0555247i | \(-0.982317\pi\) |
0.745278 | + | 0.666754i | \(0.232317\pi\) | |||||||
\(422\) | 3.60475 | − | 0.0671781i | 0.175477 | − | 0.00327018i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −8.82134 | + | 0.493640i | −0.428402 | + | 0.0239733i | ||||
\(425\) | −18.4583 | − | 18.4583i | −0.895361 | − | 0.895361i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.253534 | − | 0.612085i | 0.0122694 | − | 0.0296209i | ||||
\(428\) | 12.2713 | + | 26.7593i | 0.593156 | + | 1.29346i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −14.3727 | + | 6.26962i | −0.693114 | + | 0.302348i | ||||
\(431\) | − | 35.4019i | − | 1.70525i | −0.522522 | − | 0.852626i | \(-0.675009\pi\) | ||
0.522522 | − | 0.852626i | \(-0.324991\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 7.21929i | − | 0.346937i | −0.984839 | − | 0.173468i | \(-0.944503\pi\) | ||
0.984839 | − | 0.173468i | \(-0.0554975\pi\) | |||||||
\(434\) | 0.0101585 | + | 0.0232878i | 0.000487625 | + | 0.00111785i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −1.29597 | + | 3.49135i | −0.0620659 | + | 0.167205i | ||||
\(437\) | −2.53181 | + | 6.11233i | −0.121113 | + | 0.292392i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −1.03963 | − | 1.03963i | −0.0496186 | − | 0.0496186i | 0.681862 | − | 0.731481i | \(-0.261170\pi\) |
−0.731481 | + | 0.681862i | \(0.761170\pi\) | |||||||
\(440\) | −8.96317 | + | 25.5990i | −0.427303 | + | 1.22038i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.0635722 | + | 3.41126i | 0.00302382 | + | 0.162257i | ||||
\(443\) | −8.01237 | + | 19.3436i | −0.380679 | + | 0.919041i | 0.611156 | + | 0.791510i | \(0.290705\pi\) |
−0.991835 | + | 0.127530i | \(0.959295\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 28.9384 | − | 11.9867i | 1.37181 | − | 0.568223i | ||||
\(446\) | 5.14483 | − | 13.1063i | 0.243615 | − | 0.620599i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0.0480402 | + | 0.427894i | 0.00226968 | + | 0.0202161i | ||||
\(449\) | 14.3125i | 0.675447i | 0.941245 | + | 0.337724i | \(0.109657\pi\) | ||||
−0.941245 | + | 0.337724i | \(0.890343\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 10.4947 | + | 25.3365i | 0.494178 | + | 1.19305i | ||||
\(452\) | −7.76848 | − | 7.21001i | −0.365399 | − | 0.339130i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 29.5088 | − | 0.549926i | 1.38492 | − | 0.0258093i | ||||
\(455\) | −0.0358584 | − | 0.0358584i | −0.00168107 | − | 0.00168107i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −22.1556 | + | 22.1556i | −1.03640 | + | 1.03640i | −0.0370849 | + | 0.999312i | \(0.511807\pi\) |
−0.999312 | + | 0.0370849i | \(0.988193\pi\) | |||||||
\(458\) | 19.0697 | − | 19.7940i | 0.891071 | − | 0.924913i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −21.3298 | − | 7.91752i | −0.994505 | − | 0.369156i | ||||
\(461\) | 24.7969 | − | 10.2712i | 1.15490 | − | 0.478377i | 0.278729 | − | 0.960370i | \(-0.410087\pi\) |
0.876175 | + | 0.481993i | \(0.160087\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 19.0735 | 0.886421 | 0.443210 | − | 0.896418i | \(-0.353839\pi\) | ||||
0.443210 | + | 0.896418i | \(0.353839\pi\) | |||||||
\(464\) | −28.4847 | + | 14.3703i | −1.32237 | + | 0.667124i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 13.6270 | + | 31.2390i | 0.631258 | + | 1.44712i | ||||
\(467\) | −2.25504 | − | 5.44416i | −0.104351 | − | 0.251926i | 0.863077 | − | 0.505073i | \(-0.168534\pi\) |
−0.967428 | + | 0.253147i | \(0.918534\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.551615 | + | 0.228486i | 0.0254712 | + | 0.0105505i | ||||
\(470\) | −19.6660 | + | 20.4129i | −0.907127 | + | 0.941579i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 30.0960 | − | 1.68416i | 1.38528 | − | 0.0775199i | ||||
\(473\) | −8.84798 | + | 8.84798i | −0.406830 | + | 0.406830i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −5.47762 | − | 2.26890i | −0.251330 | − | 0.104104i | ||||
\(476\) | −0.802919 | + | 0.0299368i | −0.0368017 | + | 0.00137215i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −6.64064 | + | 16.9168i | −0.303736 | + | 0.773756i | ||||
\(479\) | −33.8588 | −1.54705 | −0.773524 | − | 0.633767i | \(-0.781508\pi\) | ||||
−0.773524 | + | 0.633767i | \(0.781508\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.538867 | 0.0245702 | ||||||||
\(482\) | 8.71470 | − | 22.2004i | 0.396944 | − | 1.01120i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −0.0132800 | − | 0.356175i | −0.000603634 | − | 0.0161898i | ||||
\(485\) | −18.5434 | − | 7.68093i | −0.842012 | − | 0.348773i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −15.2646 | + | 15.2646i | −0.691706 | + | 0.691706i | −0.962607 | − | 0.270901i | \(-0.912678\pi\) |
0.270901 | + | 0.962607i | \(0.412678\pi\) | |||||||
\(488\) | −25.9554 | − | 23.2045i | −1.17495 | − | 1.05042i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −20.0130 | + | 20.7731i | −0.904097 | + | 0.938434i | ||||
\(491\) | −9.18067 | − | 3.80276i | −0.414318 | − | 0.171616i | 0.165780 | − | 0.986163i | \(-0.446986\pi\) |
−0.580098 | + | 0.814547i | \(0.696986\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −22.7827 | − | 55.0024i | −1.02608 | − | 2.47718i | ||||
\(494\) | 0.309839 | + | 0.710287i | 0.0139403 | + | 0.0319573i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.33145 | − | 0.0994242i | 0.0597839 | − | 0.00446428i | ||||
\(497\) | −0.304310 | −0.0136502 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 17.2082 | − | 7.12787i | 0.770344 | − | 0.319087i | 0.0373325 | − | 0.999303i | \(-0.488114\pi\) |
0.733012 | + | 0.680216i | \(0.238114\pi\) | |||||||
\(500\) | −3.04874 | + | 8.21328i | −0.136344 | + | 0.367309i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −23.7493 | + | 24.6512i | −1.05998 | + | 1.10024i | ||||
\(503\) | 17.1384 | − | 17.1384i | 0.764165 | − | 0.764165i | −0.212908 | − | 0.977072i | \(-0.568293\pi\) |
0.977072 | + | 0.212908i | \(0.0682933\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −36.5488 | − | 36.5488i | −1.62640 | − | 1.62640i | ||||
\(506\) | −18.1525 | + | 0.338289i | −0.806975 | + | 0.0150388i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 13.5786 | − | 14.6304i | 0.602454 | − | 0.649119i | ||||
\(509\) | 0.667909 | + | 1.61248i | 0.0296046 | + | 0.0714717i | 0.937990 | − | 0.346661i | \(-0.112685\pi\) |
−0.908386 | + | 0.418133i | \(0.862685\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.621646i | 0.0275000i | ||||||||
\(512\) | 22.0571 | + | 5.04820i | 0.974795 | + | 0.223101i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −4.10371 | + | 10.4540i | −0.181007 | + | 0.461108i | ||||
\(515\) | 15.9017 | − | 6.58672i | 0.700715 | − | 0.290246i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −8.65588 | + | 20.8971i | −0.380685 | + | 0.919055i | ||||
\(518\) | 0.00236451 | + | 0.126879i | 0.000103891 | + | 0.00557473i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −2.40124 | + | 1.15579i | −0.105301 | + | 0.0506847i | ||||
\(521\) | −25.3672 | − | 25.3672i | −1.11136 | − | 1.11136i | −0.992967 | − | 0.118389i | \(-0.962227\pi\) |
−0.118389 | − | 0.992967i | \(-0.537773\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 15.8330 | − | 38.2243i | 0.692329 | − | 1.67143i | −0.0477056 | − | 0.998861i | \(-0.515191\pi\) |
0.740035 | − | 0.672569i | \(-0.234809\pi\) | |||||||
\(524\) | −30.5263 | − | 11.3312i | −1.33355 | − | 0.495007i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 7.22986 | + | 16.5740i | 0.315237 | + | 0.722661i | ||||
\(527\) | 2.49143i | 0.108529i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 7.77026i | 0.337838i | ||||||||
\(530\) | 11.8032 | − | 5.14874i | 0.512696 | − | 0.223647i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.165881 | + | 0.0760697i | −0.00719184 | + | 0.00329804i | ||||
\(533\) | −1.03115 | + | 2.48941i | −0.0446640 | + | 0.107828i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −30.3400 | − | 30.3400i | −1.31171 | − | 1.31171i | ||||
\(536\) | 20.9120 | − | 23.3912i | 0.903261 | − | 1.01035i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 18.0910 | − | 0.337144i | 0.779960 | − | 0.0145353i | ||||
\(539\) | −8.80861 | + | 21.2659i | −0.379414 | + | 0.915986i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −31.7054 | + | 13.1328i | −1.36312 | + | 0.564623i | −0.939914 | − | 0.341410i | \(-0.889096\pi\) |
−0.423207 | + | 0.906033i | \(0.639096\pi\) | |||||||
\(542\) | −17.3936 | − | 6.82780i | −0.747118 | − | 0.293279i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −12.4589 | + | 40.3433i | −0.534169 | + | 1.72970i | ||||
\(545\) | − | 5.42792i | − | 0.232506i | ||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 12.9620 | + | 31.2932i | 0.554217 | + | 1.33800i | 0.914285 | + | 0.405072i | \(0.132754\pi\) |
−0.360068 | + | 0.932926i | \(0.617246\pi\) | |||||||
\(548\) | 0.404407 | + | 10.8464i | 0.0172754 | + | 0.463336i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.303160 | − | 16.2675i | −0.0129268 | − | 0.693647i | ||||
\(551\) | −9.56136 | − | 9.56136i | −0.407328 | − | 0.407328i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.157320 | + | 0.157320i | −0.00668994 | + | 0.00668994i | ||||
\(554\) | −3.69821 | − | 3.56290i | −0.157122 | − | 0.151373i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 27.8787 | − | 12.7846i | 1.18232 | − | 0.542189i | ||||
\(557\) | −6.94857 | + | 2.87819i | −0.294420 | + | 0.121953i | −0.525004 | − | 0.851100i | \(-0.675936\pi\) |
0.230584 | + | 0.973052i | \(0.425936\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −1.22944 | −0.0519999 | ||||||||
\(560\) | −0.282672 | − | 0.560311i | −0.0119451 | − | 0.0236775i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −1.40892 | + | 0.614596i | −0.0594319 | + | 0.0259252i | ||||
\(563\) | −5.36452 | − | 12.9511i | −0.226087 | − | 0.545823i | 0.769607 | − | 0.638518i | \(-0.220452\pi\) |
−0.995695 | + | 0.0926943i | \(0.970452\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 14.2718 | + | 5.91159i | 0.600421 | + | 0.248703i | ||||
\(566\) | 7.41504 | + | 7.14372i | 0.311677 | + | 0.300273i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −5.28472 | + | 15.0933i | −0.221742 | + | 0.633300i | ||||
\(569\) | 4.87882 | − | 4.87882i | 0.204531 | − | 0.204531i | −0.597407 | − | 0.801938i | \(-0.703802\pi\) |
0.801938 | + | 0.597407i | \(0.203802\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 15.9469 | + | 6.60542i | 0.667356 | + | 0.276428i | 0.690530 | − | 0.723303i | \(-0.257377\pi\) |
−0.0231740 | + | 0.999731i | \(0.507377\pi\) | |||||||
\(572\) | −1.44664 | + | 1.55869i | −0.0604869 | + | 0.0651721i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −0.590668 | − | 0.231865i | −0.0246540 | − | 0.00967787i | ||||
\(575\) | 13.6483 | 0.569172 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −7.21616 | −0.300413 | −0.150206 | − | 0.988655i | \(-0.547994\pi\) | ||||
−0.150206 | + | 0.988655i | \(0.547994\pi\) | |||||||
\(578\) | −50.9621 | − | 20.0050i | −2.11974 | − | 0.832099i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 31.6330 | − | 34.0832i | 1.31349 | − | 1.41523i | ||||
\(581\) | 0.309540 | + | 0.128216i | 0.0128419 | + | 0.00531928i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 7.26613 | − | 7.26613i | 0.300932 | − | 0.300932i | ||||
\(584\) | 30.8326 | + | 10.7957i | 1.27586 | + | 0.446728i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 1.03666 | + | 0.998726i | 0.0428239 | + | 0.0412570i | ||||
\(587\) | −25.0953 | − | 10.3948i | −1.03579 | − | 0.429039i | −0.200993 | − | 0.979593i | \(-0.564417\pi\) |
−0.834800 | + | 0.550553i | \(0.814417\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.216550 | + | 0.522797i | 0.00892277 | + | 0.0215415i | ||||
\(590\) | −40.2691 | + | 17.5661i | −1.65785 | + | 0.723183i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 6.33403 | + | 2.08613i | 0.260327 | + | 0.0857394i | ||||
\(593\) | 26.2174 | 1.07662 | 0.538309 | − | 0.842747i | \(-0.319063\pi\) | ||||
0.538309 | + | 0.842747i | \(0.319063\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 1.08193 | − | 0.448150i | 0.0443548 | − | 0.0183723i | ||||
\(596\) | 17.5435 | − | 8.04510i | 0.718609 | − | 0.329540i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −1.28466 | − | 1.23766i | −0.0525337 | − | 0.0506115i | ||||
\(599\) | −31.6309 | + | 31.6309i | −1.29240 | + | 1.29240i | −0.359108 | + | 0.933296i | \(0.616919\pi\) |
−0.933296 | + | 0.359108i | \(0.883081\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 20.5554 | + | 20.5554i | 0.838473 | + | 0.838473i | 0.988658 | − | 0.150185i | \(-0.0479870\pi\) |
−0.150185 | + | 0.988658i | \(0.547987\pi\) | |||||||
\(602\) | −0.00539471 | − | 0.289478i | −0.000219872 | − | 0.0117982i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −1.37730 | − | 36.9398i | −0.0560415 | − | 1.50306i | ||||
\(605\) | 0.198799 | + | 0.479944i | 0.00808234 | + | 0.0195125i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 33.7590i | 1.37024i | 0.728432 | + | 0.685118i | \(0.240249\pi\) | ||||
−0.728432 | + | 0.685118i | \(0.759751\pi\) | |||||||
\(608\) | 0.892203 | + | 9.54844i | 0.0361836 | + | 0.387241i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 47.2351 | + | 18.5420i | 1.91249 | + | 0.750744i | ||||
\(611\) | −2.05322 | + | 0.850473i | −0.0830645 | + | 0.0344065i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 2.92982 | − | 7.07321i | 0.118334 | − | 0.285684i | −0.853603 | − | 0.520924i | \(-0.825587\pi\) |
0.971937 | + | 0.235240i | \(0.0755875\pi\) | |||||||
\(614\) | 39.3474 | − | 0.733277i | 1.58793 | − | 0.0295926i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −0.373349 | − | 0.333778i | −0.0150426 | − | 0.0134483i | ||||
\(617\) | 15.6232 | + | 15.6232i | 0.628965 | + | 0.628965i | 0.947808 | − | 0.318843i | \(-0.103294\pi\) |
−0.318843 | + | 0.947808i | \(0.603294\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 10.6086 | − | 25.6113i | 0.426394 | − | 1.02941i | −0.554028 | − | 0.832498i | \(-0.686910\pi\) |
0.980422 | − | 0.196908i | \(-0.0630900\pi\) | |||||||
\(620\) | −1.76887 | + | 0.811171i | −0.0710397 | + | 0.0325774i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −21.2372 | + | 9.26401i | −0.851533 | + | 0.371453i | ||||
\(623\) | 0.578343i | 0.0231708i | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | − | 30.2554i | − | 1.21022i | ||||||
\(626\) | −2.06944 | − | 4.74407i | −0.0827115 | − | 0.189611i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −21.2187 | − | 7.87630i | −0.846719 | − | 0.314299i | ||||
\(629\) | −4.76210 | + | 11.4967i | −0.189878 | + | 0.458405i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 11.4381 | + | 11.4381i | 0.455343 | + | 0.455343i | 0.897123 | − | 0.441780i | \(-0.145653\pi\) |
−0.441780 | + | 0.897123i | \(0.645653\pi\) | |||||||
\(632\) | 5.07076 | + | 10.5349i | 0.201704 | + | 0.419055i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0.224806 | + | 12.0630i | 0.00892818 | + | 0.479083i | ||||
\(635\) | −11.1333 | + | 26.8782i | −0.441812 | + | 1.06663i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −2.08945 | + | 0.865480i | −0.0827871 | + | 0.0342916i | ||||
\(638\) | 13.5589 | − | 34.5409i | 0.536803 | − | 1.36749i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −32.6994 | + | 4.28956i | −1.29256 | + | 0.169560i | ||||
\(641\) | − | 15.1966i | − | 0.600229i | −0.953903 | − | 0.300115i | \(-0.902975\pi\) | ||
0.953903 | − | 0.300115i | \(-0.0970249\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 0.170017 | + | 0.410458i | 0.00670483 | + | 0.0161869i | 0.927196 | − | 0.374575i | \(-0.122211\pi\) |
−0.920492 | + | 0.390762i | \(0.872211\pi\) | |||||||
\(644\) | 0.285775 | − | 0.307910i | 0.0112611 | − | 0.0121334i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −17.8921 | + | 0.333437i | −0.703956 | + | 0.0131189i | ||||
\(647\) | −5.93379 | − | 5.93379i | −0.233282 | − | 0.233282i | 0.580779 | − | 0.814061i | \(-0.302748\pi\) |
−0.814061 | + | 0.580779i | \(0.802748\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −24.7900 | + | 24.7900i | −0.973093 | + | 0.973093i | ||||
\(650\) | 1.10914 | − | 1.15126i | 0.0435039 | − | 0.0451561i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 10.3129 | − | 27.7829i | 0.403884 | − | 1.08806i | ||||
\(653\) | 41.0347 | − | 16.9971i | 1.60581 | − | 0.665149i | 0.613589 | − | 0.789626i | \(-0.289725\pi\) |
0.992222 | + | 0.124477i | \(0.0397253\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 47.4585 | 1.85436 | ||||||||
\(656\) | −21.7578 | + | 25.2695i | −0.849499 | + | 0.986608i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −0.209257 | − | 0.479709i | −0.00815770 | − | 0.0187010i | ||||
\(659\) | 2.49348 | + | 6.01980i | 0.0971323 | + | 0.234498i | 0.964975 | − | 0.262340i | \(-0.0844942\pi\) |
−0.867843 | + | 0.496838i | \(0.834494\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 0.149545 | + | 0.0619435i | 0.00581662 | + | 0.00240932i | 0.385590 | − | 0.922670i | \(-0.373998\pi\) |
−0.379773 | + | 0.925080i | \(0.623998\pi\) | |||||||
\(662\) | 1.54428 | − | 1.60293i | 0.0600200 | − | 0.0622996i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 11.7348 | − | 13.1260i | 0.455399 | − | 0.509389i | ||||
\(665\) | 0.188078 | − | 0.188078i | 0.00729333 | − | 0.00729333i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 28.7575 | + | 11.9117i | 1.11349 | + | 0.461224i | ||||
\(668\) | −1.89118 | − | 50.7224i | −0.0731720 | − | 1.96251i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −16.7102 | + | 42.5685i | −0.645570 | + | 1.64457i | ||||
\(671\) | 40.4929 | 1.56321 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 17.0544 | 0.657398 | 0.328699 | − | 0.944435i | \(-0.393390\pi\) | ||||
0.328699 | + | 0.944435i | \(0.393390\pi\) | |||||||
\(674\) | −12.7914 | + | 32.5855i | −0.492705 | + | 1.25515i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 25.7731 | − | 0.960950i | 0.991275 | − | 0.0369596i | ||||
\(677\) | 26.7156 | + | 11.0660i | 1.02677 | + | 0.425300i | 0.831544 | − | 0.555459i | \(-0.187457\pi\) |
0.195221 | + | 0.980759i | \(0.437457\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0.262051 | − | 0.262051i | 0.0100566 | − | 0.0100566i | ||||
\(680\) | −3.43842 | − | 61.4445i | −0.131857 | − | 2.35629i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −1.07740 | + | 1.11832i | −0.0412558 | + | 0.0428226i | ||||
\(683\) | −14.7014 | − | 6.08950i | −0.562532 | − | 0.233008i | 0.0832521 | − | 0.996529i | \(-0.473469\pi\) |
−0.645784 | + | 0.763520i | \(0.723469\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −6.05393 | − | 14.6155i | −0.231309 | − | 0.558429i | ||||
\(686\) | −0.425987 | − | 0.976549i | −0.0162643 | − | 0.0372848i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −14.4513 | − | 4.75958i | −0.550951 | − | 0.181457i | ||||
\(689\) | 1.00964 | 0.0384643 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −30.8550 | + | 12.7806i | −1.17378 | + | 0.486196i | −0.882440 | − | 0.470424i | \(-0.844101\pi\) |
−0.291340 | + | 0.956620i | \(0.594101\pi\) | |||||||
\(692\) | 14.4840 | + | 5.37642i | 0.550601 | + | 0.204381i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 22.1766 | − | 23.0189i | 0.841813 | − | 0.873785i | ||||
\(695\) | −31.6092 | + | 31.6092i | −1.19901 | + | 1.19901i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −43.9991 | − | 43.9991i | −1.66659 | − | 1.66659i | ||||
\(698\) | 51.0854 | − | 0.952026i | 1.93361 | − | 0.0360347i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0.275936 | + | 0.256099i | 0.0104294 | + | 0.00967965i | ||||
\(701\) | −14.8370 | − | 35.8196i | −0.560384 | − | 1.35289i | −0.909460 | − | 0.415792i | \(-0.863504\pi\) |
0.349075 | − | 0.937095i | \(-0.386496\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 2.82636i | 0.106598i | ||||||||
\(704\) | −23.0385 | + | 12.7210i | −0.868295 | + | 0.479440i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 5.46389 | − | 13.9191i | 0.205636 | − | 0.523851i | ||||
\(707\) | 0.881720 | − | 0.365220i | 0.0331605 | − | 0.0137355i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 2.66021 | − | 6.42232i | 0.0999064 | − | 0.241195i | −0.866021 | − | 0.500007i | \(-0.833331\pi\) |
0.965928 | + | 0.258811i | \(0.0833308\pi\) | |||||||
\(710\) | −0.434292 | − | 23.3040i | −0.0162987 | − | 0.874582i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 28.6848 | + | 10.0436i | 1.07501 | + | 0.376401i | ||||
\(713\) | −0.921093 | − | 0.921093i | −0.0344952 | − | 0.0344952i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1.18612 | − | 2.86354i | 0.0443583 | − | 0.107090i | ||||
\(716\) | −9.49502 | + | 25.5795i | −0.354845 | + | 0.955952i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −18.3888 | − | 42.1551i | −0.686262 | − | 1.57321i | ||||
\(719\) | − | 8.45844i | − | 0.315447i | −0.987483 | − | 0.157723i | \(-0.949585\pi\) | ||
0.987483 | − | 0.157723i | \(-0.0504154\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.317802i | 0.0118355i | ||||||||
\(722\) | 20.9033 | − | 9.11838i | 0.777941 | − | 0.339351i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −0.848706 | − | 1.85072i | −0.0315419 | − | 0.0687816i | ||||
\(725\) | −10.6748 | + | 25.7713i | −0.396452 | + | 0.957120i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 4.11274 | + | 4.11274i | 0.152533 | + | 0.152533i | 0.779248 | − | 0.626715i | \(-0.215601\pi\) |
−0.626715 | + | 0.779248i | \(0.715601\pi\) | |||||||
\(728\) | −0.00274921 | − | 0.0491283i | −0.000101892 | − | 0.00182081i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −47.6054 | + | 0.887174i | −1.76196 | + | 0.0328358i | ||||
\(731\) | 10.8649 | − | 26.2302i | 0.401853 | − | 0.970159i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −6.27451 | + | 2.59899i | −0.231754 | + | 0.0959958i | −0.495539 | − | 0.868586i | \(-0.665029\pi\) |
0.263784 | + | 0.964582i | \(0.415029\pi\) | |||||||
\(734\) | −43.2981 | − | 16.9965i | −1.59816 | − | 0.627354i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −10.3090 | − | 19.5212i | −0.379994 | − | 0.719560i | ||||
\(737\) | 36.4925i | 1.34422i | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 0.883296 | + | 2.13247i | 0.0324926 | + | 0.0784440i | 0.939293 | − | 0.343116i | \(-0.111483\pi\) |
−0.906800 | + | 0.421560i | \(0.861483\pi\) | |||||||
\(740\) | −9.71295 | + | 0.362146i | −0.357055 | + | 0.0133128i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0.00443024 | + | 0.237725i | 0.000162639 | + | 0.00872716i | ||||
\(743\) | −31.2132 | − | 31.2132i | −1.14510 | − | 1.14510i | −0.987504 | − | 0.157597i | \(-0.949625\pi\) |
−0.157597 | − | 0.987504i | \(-0.550375\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −19.8910 | + | 19.8910i | −0.728750 | + | 0.728750i | ||||
\(746\) | −22.3409 | − | 21.5235i | −0.817959 | − | 0.788030i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −20.4704 | − | 44.6386i | −0.748472 | − | 1.63215i | ||||
\(749\) | 0.731936 | − | 0.303178i | 0.0267443 | − | 0.0110779i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 0.150864 | 0.00550509 | 0.00275255 | − | 0.999996i | \(-0.499124\pi\) | ||||
0.00275255 | + | 0.999996i | \(0.499124\pi\) | |||||||
\(752\) | −27.4268 | + | 2.04806i | −1.00015 | + | 0.0746849i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 3.34178 | − | 1.45774i | 0.121700 | − | 0.0530878i | ||||
\(755\) | 20.6180 | + | 49.7762i | 0.750366 | + | 1.81154i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 20.0153 | + | 8.29061i | 0.727469 | + | 0.301327i | 0.715511 | − | 0.698601i | \(-0.246194\pi\) |
0.0119573 | + | 0.999929i | \(0.496194\pi\) | |||||||
\(758\) | −10.6402 | − | 10.2509i | −0.386469 | − | 0.372328i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −6.06212 | − | 12.5945i | −0.219896 | − | 0.456851i | ||||
\(761\) | −21.6271 | + | 21.6271i | −0.783982 | + | 0.783982i | −0.980500 | − | 0.196518i | \(-0.937036\pi\) |
0.196518 | + | 0.980500i | \(0.437036\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.0925923 | + | 0.0383530i | 0.00335207 | + | 0.00138847i | ||||
\(764\) | −8.57647 | − | 7.95991i | −0.310286 | − | 0.287979i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 7.49498 | + | 2.94214i | 0.270805 | + | 0.106304i | ||||
\(767\) | −3.44462 | −0.124378 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −35.5857 | −1.28325 | −0.641626 | − | 0.767018i | \(-0.721740\pi\) | ||||
−0.641626 | + | 0.767018i | \(0.721740\pi\) | |||||||
\(770\) | 0.679439 | + | 0.266712i | 0.0244853 | + | 0.00961164i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 18.9986 | + | 17.6328i | 0.683773 | + | 0.634617i | ||||
\(773\) | 8.20086 | + | 3.39691i | 0.294964 | + | 0.122178i | 0.525258 | − | 0.850943i | \(-0.323969\pi\) |
−0.230294 | + | 0.973121i | \(0.573969\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.825446 | − | 0.825446i | 0.0296509 | − | 0.0296509i | ||||
\(776\) | −8.44643 | − | 17.5481i | −0.303209 | − | 0.629940i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −1.81316 | − | 1.74682i | −0.0650051 | − | 0.0626265i | ||||
\(779\) | −13.0570 | − | 5.40838i | −0.467815 | − | 0.193775i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −7.11769 | − | 17.1836i | −0.254691 | − | 0.614879i | ||||
\(782\) | 37.7583 | − | 16.4708i | 1.35023 | − | 0.588995i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −27.9107 | + | 2.08419i | −0.996811 | + | 0.0744355i | ||||
\(785\) | 32.9883 | 1.17740 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 33.0252 | − | 13.6795i | 1.17722 | − | 0.487621i | 0.293648 | − | 0.955914i | \(-0.405131\pi\) |
0.883573 | + | 0.468293i | \(0.155131\pi\) | |||||||
\(788\) | 12.1882 | + | 26.5781i | 0.434187 | + | 0.946806i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −12.2720 | − | 11.8230i | −0.436620 | − | 0.420644i | ||||
\(791\) | −0.201686 | + | 0.201686i | −0.00717114 | + | 0.00717114i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 2.81329 | + | 2.81329i | 0.0999027 | + | 0.0999027i | ||||
\(794\) | −0.269246 | − | 14.4476i | −0.00955518 | − | 0.512727i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −53.0942 | + | 1.97961i | −1.88187 | + | 0.0701655i | ||||
\(797\) | 13.3534 | + | 32.2380i | 0.473003 | + | 1.14193i | 0.962829 | + | 0.270110i | \(0.0870601\pi\) |
−0.489827 | + | 0.871820i | \(0.662940\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 51.3214i | − | 1.81562i | ||||||
\(800\) | 17.4941 | − | 9.23848i | 0.618509 | − | 0.326630i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −10.1439 | − | 3.98198i | −0.358195 | − | 0.140609i | ||||
\(803\) | −35.1028 | + | 14.5401i | −1.23875 | + | 0.513107i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.234311 | + | 0.565676i | −0.00825837 | + | 0.0199375i | ||||
\(806\) | −0.152550 | + | 0.00284291i | −0.00537333 | + | 0.000100137i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −2.80215 | − | 50.0743i | −0.0985791 | − | 1.76161i | ||||
\(809\) | 21.2883 | + | 21.2883i | 0.748456 | + | 0.748456i | 0.974189 | − | 0.225733i | \(-0.0724777\pi\) |
−0.225733 | + | 0.974189i | \(0.572478\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −6.81853 | + | 16.4614i | −0.239431 | + | 0.578038i | −0.997224 | − | 0.0744573i | \(-0.976278\pi\) |
0.757793 | + | 0.652495i | \(0.226278\pi\) | |||||||
\(812\) | 0.357895 | + | 0.780441i | 0.0125597 | + | 0.0273881i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −7.10921 | + | 3.10116i | −0.249178 | + | 0.108696i | ||||
\(815\) | 43.1935i | 1.51300i | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | − | 6.44844i | − | 0.225602i | ||||||
\(818\) | −10.2901 | − | 23.5893i | −0.359784 | − | 0.824782i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 16.9132 | − | 45.5640i | 0.590634 | − | 1.59116i | ||||
\(821\) | −6.23247 | + | 15.0465i | −0.217515 | + | 0.525127i | −0.994542 | − | 0.104340i | \(-0.966727\pi\) |
0.777027 | + | 0.629467i | \(0.216727\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −17.7479 | − | 17.7479i | −0.618652 | − | 0.618652i | 0.326533 | − | 0.945186i | \(-0.394119\pi\) |
−0.945186 | + | 0.326533i | \(0.894119\pi\) | |||||||
\(824\) | 15.7624 | + | 5.51902i | 0.549110 | + | 0.192264i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −0.0151147 | − | 0.811051i | −0.000525909 | − | 0.0282201i | ||||
\(827\) | 8.49078 | − | 20.4986i | 0.295253 | − | 0.712804i | −0.704741 | − | 0.709465i | \(-0.748937\pi\) |
0.999994 | − | 0.00333994i | \(-0.00106314\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 23.6680 | − | 9.80362i | 0.822025 | − | 0.340494i | 0.0682842 | − | 0.997666i | \(-0.478248\pi\) |
0.753741 | + | 0.657172i | \(0.228248\pi\) | |||||||
\(830\) | −9.37695 | + | 23.8874i | −0.325479 | + | 0.829145i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −2.48442 | − | 0.716817i | −0.0861318 | − | 0.0248512i | ||||
\(833\) | − | 52.2270i | − | 1.80956i | ||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 28.3108 | + | 68.3482i | 0.979734 | + | 2.36529i | ||||
\(836\) | −8.17535 | − | 7.58763i | −0.282750 | − | 0.262424i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −48.3802 | + | 0.901612i | −1.67126 | + | 0.0311457i | ||||
\(839\) | 27.7267 | + | 27.7267i | 0.957231 | + | 0.957231i | 0.999122 | − | 0.0418908i | \(-0.0133382\pi\) |
−0.0418908 | + | 0.999122i | \(0.513338\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −24.4785 | + | 24.4785i | −0.844085 | + | 0.844085i | ||||
\(842\) | 13.3194 | − | 13.8253i | 0.459017 | − | 0.476450i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −4.78008 | − | 1.77435i | −0.164537 | − | 0.0610755i | ||||
\(845\) | −34.7292 | + | 14.3853i | −1.19472 | + | 0.494869i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −0.00959183 | −0.000329579 | ||||||||
\(848\) | 11.8677 | + | 3.90866i | 0.407538 | + | 0.134224i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 14.7604 | + | 33.8374i | 0.506279 | + | 1.16061i | ||||
\(851\) | −2.48982 | − | 6.01096i | −0.0853500 | − | 0.206053i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −29.4430 | − | 12.1957i | −1.00811 | − | 0.417572i | −0.183344 | − | 0.983049i | \(-0.558692\pi\) |
−0.824764 | + | 0.565477i | \(0.808692\pi\) | |||||||
\(854\) | −0.650056 | + | 0.674745i | −0.0222445 | + | 0.0230893i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −2.32612 | − | 41.5678i | −0.0795053 | − | 1.42076i | ||||
\(857\) | −2.22501 | + | 2.22501i | −0.0760048 | + | 0.0760048i | −0.744087 | − | 0.668082i | \(-0.767115\pi\) |
0.668082 | + | 0.744087i | \(0.267115\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 10.3126 | + | 4.27163i | 0.351862 | + | 0.145746i | 0.551612 | − | 0.834101i | \(-0.314013\pi\) |
−0.199750 | + | 0.979847i | \(0.564013\pi\) | |||||||
\(860\) | 22.1604 | − | 0.826249i | 0.755664 | − | 0.0281749i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −18.2942 | + | 46.6038i | −0.623103 | + | 1.58733i | ||||
\(863\) | 0.364624 | 0.0124120 | 0.00620598 | − | 0.999981i | \(-0.498025\pi\) | ||||
0.00620598 | + | 0.999981i | \(0.498025\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −22.5180 | −0.765636 | ||||||||
\(866\) | −3.73062 | + | 9.50362i | −0.126772 | + | 0.322946i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −0.00133875 | − | 0.0359060i | −4.54402e−5 | − | 0.00121873i | ||||
\(869\) | −12.5631 | − | 5.20382i | −0.426175 | − | 0.176528i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −2.53535 | + | 2.53535i | −0.0859071 | + | 0.0859071i | ||||
\(872\) | 3.51022 | − | 3.92637i | 0.118871 | − | 0.132964i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 6.49152 | − | 6.73806i | 0.219579 | − | 0.227918i | ||||
\(875\) | 0.217820 | + | 0.0902242i | 0.00736368 | + | 0.00305013i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −20.9747 | − | 50.6373i | −0.708264 | − | 1.70990i | −0.704295 | − | 0.709908i | \(-0.748737\pi\) |
−0.00396924 | − | 0.999992i | \(-0.501263\pi\) | |||||||
\(878\) | 0.831350 | + | 1.90582i | 0.0280567 | + | 0.0643183i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 25.0278 | − | 29.0672i | 0.843686 | − | 0.979856i | ||||
\(881\) | 8.52158 | 0.287099 | 0.143550 | − | 0.989643i | \(-0.454148\pi\) | ||||
0.143550 | + | 0.989643i | \(0.454148\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 0.771103 | − | 0.319401i | 0.0259497 | − | 0.0107487i | −0.369671 | − | 0.929163i | \(-0.620530\pi\) |
0.395621 | + | 0.918414i | \(0.370530\pi\) | |||||||
\(884\) | 1.67911 | − | 4.52351i | 0.0564745 | − | 0.152142i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 20.5436 | − | 21.3238i | 0.690175 | − | 0.716387i | ||||
\(887\) | −6.68514 | + | 6.68514i | −0.224465 | + | 0.224465i | −0.810376 | − | 0.585911i | \(-0.800737\pi\) |
0.585911 | + | 0.810376i | \(0.300737\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −0.379836 | − | 0.379836i | −0.0127393 | − | 0.0127393i | ||||
\(890\) | −44.2893 | + | 0.825374i | −1.48458 | + | 0.0276666i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −13.5455 | + | 14.5947i | −0.453537 | + | 0.488667i | ||||
\(893\) | −4.46074 | − | 10.7692i | −0.149273 | − | 0.360377i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | − | 39.7679i | − | 1.32930i | ||||||
\(896\) | 0.157876 | − | 0.588114i | 0.00527428 | − | 0.0196475i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 7.39607 | − | 18.8412i | 0.246810 | − | 0.628740i | ||||
\(899\) | 2.45967 | − | 1.01883i | 0.0820347 | − | 0.0339799i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −8.92247 | + | 21.5407i | −0.297251 | + | 0.717626i | ||||
\(902\) | −0.722643 | − | 38.7768i | −0.0240614 | − | 1.29112i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 6.50076 | + | 13.5058i | 0.216212 | + | 0.449197i | ||||
\(905\) | 2.09837 | + | 2.09837i | 0.0697522 | + | 0.0697522i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −8.45548 | + | 20.4133i | −0.280760 | + | 0.677814i | −0.999854 | − | 0.0170988i | \(-0.994557\pi\) |
0.719094 | + | 0.694913i | \(0.244557\pi\) | |||||||
\(908\) | −39.1302 | − | 14.5250i | −1.29858 | − | 0.482028i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0.0286746 | + | 0.0657347i | 0.000950554 | + | 0.00217909i | ||||
\(911\) | − | 1.69648i | − | 0.0562069i | −0.999605 | − | 0.0281035i | \(-0.991053\pi\) | ||
0.999605 | − | 0.0281035i | \(-0.00894679\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 20.4778i | 0.677718i | ||||||||
\(914\) | 40.6152 | − | 17.7170i | 1.34343 | − | 0.586028i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −35.3325 | + | 16.2028i | −1.16742 | + | 0.535356i | ||||
\(917\) | −0.335336 | + | 0.809573i | −0.0110738 | + | 0.0267344i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −37.0196 | − | 37.0196i | −1.22116 | − | 1.22116i | −0.967219 | − | 0.253945i | \(-0.918272\pi\) |
−0.253945 | − | 0.967219i | \(-0.581728\pi\) | |||||||
\(920\) | 23.9875 | + | 21.4451i | 0.790844 | + | 0.707024i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −37.9508 | + | 0.707250i | −1.24984 | + | 0.0232920i | ||||
\(923\) | 0.699341 | − | 1.68836i | 0.0230191 | − | 0.0555730i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 5.38678 | − | 2.23128i | 0.177116 | − | 0.0733639i | ||||
\(926\) | −25.1087 | − | 9.85637i | −0.825124 | − | 0.323900i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 44.9238 | − | 4.19767i | 1.47470 | − | 0.137795i | ||||
\(929\) | 43.9949i | 1.44342i | 0.692193 | + | 0.721712i | \(0.256645\pi\) | ||||
−0.692193 | + | 0.721712i | \(0.743355\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −4.53945 | − | 10.9592i | −0.148774 | − | 0.359173i | ||||
\(932\) | −1.79585 | − | 48.1655i | −0.0588249 | − | 1.57771i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0.155277 | + | 8.33211i | 0.00508082 | + | 0.272635i | ||||
\(935\) | 50.6117 | + | 50.6117i | 1.65518 | + | 1.65518i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 7.93466 | − | 7.93466i | 0.259214 | − | 0.259214i | −0.565520 | − | 0.824734i | \(-0.691325\pi\) |
0.824734 | + | 0.565520i | \(0.191325\pi\) | |||||||
\(938\) | −0.608085 | − | 0.585835i | −0.0198547 | − | 0.0191282i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 36.4373 | − | 16.7094i | 1.18845 | − | 0.545002i | ||||
\(941\) | 35.0913 | − | 14.5353i | 1.14394 | − | 0.473837i | 0.271446 | − | 0.962454i | \(-0.412498\pi\) |
0.872499 | + | 0.488616i | \(0.162498\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 32.5333 | 1.05943 | ||||||||
\(944\) | −40.4892 | − | 13.3352i | −1.31781 | − | 0.434025i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 16.2199 | − | 7.07540i | 0.527355 | − | 0.230041i | ||||
\(947\) | 1.49823 | + | 3.61705i | 0.0486860 | + | 0.117538i | 0.946351 | − | 0.323139i | \(-0.104738\pi\) |
−0.897665 | + | 0.440678i | \(0.854738\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −3.44898 | − | 1.42862i | −0.111959 | − | 0.0463748i | ||||
\(950\) | 6.03837 | + | 5.81743i | 0.195911 | + | 0.188742i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 1.07245 | + | 0.375505i | 0.0347583 | + | 0.0121702i | ||||
\(953\) | −19.9810 | + | 19.9810i | −0.647248 | + | 0.647248i | −0.952327 | − | 0.305079i | \(-0.901317\pi\) |
0.305079 | + | 0.952327i | \(0.401317\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 15.7562 | + | 6.52645i | 0.509860 | + | 0.211191i | ||||
\(956\) | 17.4837 | − | 18.8380i | 0.565465 | − | 0.609264i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 44.5724 | + | 17.4968i | 1.44007 | + | 0.565295i | ||||
\(959\) | 0.292095 | 0.00943224 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 30.8886 | 0.996406 | ||||||||
\(962\) | −0.709375 | − | 0.278463i | −0.0228712 | − | 0.00897802i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −22.9444 | + | 24.7216i | −0.738990 | + | 0.796230i | ||||
\(965\) | −34.9032 | − | 14.4574i | −1.12357 | − | 0.465399i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 22.2824 | − | 22.2824i | 0.716553 | − | 0.716553i | −0.251344 | − | 0.967898i | \(-0.580873\pi\) |
0.967898 | + | 0.251344i | \(0.0808726\pi\) | |||||||
\(968\) | −0.166574 | + | 0.475738i | −0.00535389 | + | 0.0152908i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 20.4417 | + | 19.6938i | 0.656344 | + | 0.632329i | ||||
\(971\) | 49.0212 | + | 20.3053i | 1.57317 | + | 0.651627i | 0.987312 | − | 0.158790i | \(-0.0507593\pi\) |
0.585854 | + | 0.810417i | \(0.300759\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −0.315860 | − | 0.762554i | −0.0101260 | − | 0.0244463i | ||||
\(974\) | 27.9828 | − | 12.2066i | 0.896626 | − | 0.391123i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 22.1772 | + | 43.9595i | 0.709874 | + | 1.40711i | ||||
\(977\) | −19.6379 | −0.628273 | −0.314137 | − | 0.949378i | \(-0.601715\pi\) | ||||
−0.314137 | + | 0.949378i | \(0.601715\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −32.6576 | + | 13.5272i | −1.04374 | + | 0.432331i | ||||
\(980\) | 37.0802 | − | 17.0043i | 1.18448 | − | 0.543182i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 10.1205 | + | 9.75021i | 0.322959 | + | 0.311142i | ||||
\(983\) | 37.1087 | − | 37.1087i | 1.18358 | − | 1.18358i | 0.204776 | − | 0.978809i | \(-0.434353\pi\) |
0.978809 | − | 0.204776i | \(-0.0656465\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −30.1346 | − | 30.1346i | −0.960168 | − | 0.960168i | ||||
\(986\) | 1.56876 | + | 84.1794i | 0.0499597 | + | 2.68082i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −0.0408325 | − | 1.09515i | −0.00129905 | − | 0.0348413i | ||||
\(989\) | 5.68061 | + | 13.7142i | 0.180633 | + | 0.436087i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 54.6056i | 1.73460i | 0.497783 | + | 0.867301i | \(0.334147\pi\) | ||||
−0.497783 | + | 0.867301i | \(0.665853\pi\) | |||||||
\(992\) | −1.80413 | − | 0.557153i | −0.0572811 | − | 0.0176896i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0.400600 | + | 0.157255i | 0.0127063 | + | 0.00498781i | ||||
\(995\) | 71.5442 | − | 29.6346i | 2.26810 | − | 0.939479i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 14.9638 | − | 36.1257i | 0.473907 | − | 1.14411i | −0.488515 | − | 0.872556i | \(-0.662461\pi\) |
0.962422 | − | 0.271558i | \(-0.0875388\pi\) | |||||||
\(998\) | −26.3366 | + | 0.490808i | −0.833670 | + | 0.0155363i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 864.2.w.b.107.5 | ✓ | 128 | |
3.2 | odd | 2 | inner | 864.2.w.b.107.28 | yes | 128 | |
32.3 | odd | 8 | inner | 864.2.w.b.323.28 | yes | 128 | |
96.35 | even | 8 | inner | 864.2.w.b.323.5 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
864.2.w.b.107.5 | ✓ | 128 | 1.1 | even | 1 | trivial | |
864.2.w.b.107.28 | yes | 128 | 3.2 | odd | 2 | inner | |
864.2.w.b.323.5 | yes | 128 | 96.35 | even | 8 | inner | |
864.2.w.b.323.28 | yes | 128 | 32.3 | odd | 8 | inner |