Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(11,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.q (of order \(22\), degree \(10\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 11.15 | ||
Character | \(\chi\) | \(=\) | 690.11 |
Dual form | 690.2.q.a.251.15 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{9}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.540641 | + | 0.841254i | 0.382291 | + | 0.594856i | ||||
\(3\) | 1.37259 | − | 1.05641i | 0.792463 | − | 0.609920i | ||||
\(4\) | −0.415415 | + | 0.909632i | −0.207708 | + | 0.454816i | ||||
\(5\) | −0.959493 | + | 0.281733i | −0.429098 | + | 0.125995i | ||||
\(6\) | 1.63079 | + | 0.583554i | 0.665766 | + | 0.238235i | ||||
\(7\) | 2.43170 | − | 2.10708i | 0.919098 | − | 0.796403i | −0.0603342 | − | 0.998178i | \(-0.519217\pi\) |
0.979432 | + | 0.201776i | \(0.0646712\pi\) | |||||||
\(8\) | −0.989821 | + | 0.142315i | −0.349955 | + | 0.0503159i | ||||
\(9\) | 0.767988 | − | 2.90003i | 0.255996 | − | 0.966678i | ||||
\(10\) | −0.755750 | − | 0.654861i | −0.238989 | − | 0.207085i | ||||
\(11\) | −1.55820 | − | 1.00139i | −0.469814 | − | 0.301931i | 0.284229 | − | 0.958756i | \(-0.408262\pi\) |
−0.754043 | + | 0.656825i | \(0.771899\pi\) | |||||||
\(12\) | 0.390753 | + | 1.68740i | 0.112801 | + | 0.487110i | ||||
\(13\) | 2.29242 | − | 2.64559i | 0.635803 | − | 0.733755i | −0.342824 | − | 0.939400i | \(-0.611384\pi\) |
0.978627 | + | 0.205644i | \(0.0659290\pi\) | |||||||
\(14\) | 3.08727 | + | 0.906504i | 0.825107 | + | 0.242273i | ||||
\(15\) | −1.01936 | + | 1.40032i | −0.263198 | + | 0.361562i | ||||
\(16\) | −0.654861 | − | 0.755750i | −0.163715 | − | 0.188937i | ||||
\(17\) | −1.24449 | − | 2.72506i | −0.301834 | − | 0.660925i | 0.696564 | − | 0.717494i | \(-0.254711\pi\) |
−0.998399 | + | 0.0565694i | \(0.981984\pi\) | |||||||
\(18\) | 2.85487 | − | 0.921804i | 0.672899 | − | 0.217271i | ||||
\(19\) | 5.86887 | + | 2.68022i | 1.34641 | + | 0.614885i | 0.952577 | − | 0.304297i | \(-0.0984215\pi\) |
0.393833 | + | 0.919182i | \(0.371149\pi\) | |||||||
\(20\) | 0.142315 | − | 0.989821i | 0.0318226 | − | 0.221331i | ||||
\(21\) | 1.11178 | − | 5.46103i | 0.242610 | − | 1.19170i | ||||
\(22\) | − | 1.85223i | − | 0.394897i | ||||||
\(23\) | −1.94424 | + | 4.38405i | −0.405403 | + | 0.914138i | ||||
\(24\) | −1.20827 | + | 1.24100i | −0.246638 | + | 0.253318i | ||||
\(25\) | 0.841254 | − | 0.540641i | 0.168251 | − | 0.108128i | ||||
\(26\) | 3.46499 | + | 0.498190i | 0.679540 | + | 0.0977031i | ||||
\(27\) | −2.00950 | − | 4.79186i | −0.386728 | − | 0.922194i | ||||
\(28\) | 0.906504 | + | 3.08727i | 0.171313 | + | 0.583439i | ||||
\(29\) | 2.52496 | − | 1.15311i | 0.468873 | − | 0.214127i | −0.166945 | − | 0.985966i | \(-0.553390\pi\) |
0.635818 | + | 0.771839i | \(0.280663\pi\) | |||||||
\(30\) | −1.72913 | − | 0.100470i | −0.315695 | − | 0.0183433i | ||||
\(31\) | 0.0402751 | + | 0.280119i | 0.00723362 | + | 0.0503109i | 0.993119 | − | 0.117113i | \(-0.0373641\pi\) |
−0.985885 | + | 0.167424i | \(0.946455\pi\) | |||||||
\(32\) | 0.281733 | − | 0.959493i | 0.0498038 | − | 0.169616i | ||||
\(33\) | −3.19664 | + | 0.271600i | −0.556464 | + | 0.0472794i | ||||
\(34\) | 1.61964 | − | 2.52022i | 0.277767 | − | 0.432213i | ||||
\(35\) | −1.73957 | + | 2.70682i | −0.294041 | + | 0.457536i | ||||
\(36\) | 2.31893 | + | 1.90330i | 0.386488 | + | 0.317217i | ||||
\(37\) | −0.359153 | + | 1.22316i | −0.0590443 | + | 0.201087i | −0.983733 | − | 0.179638i | \(-0.942507\pi\) |
0.924688 | + | 0.380725i | \(0.124325\pi\) | |||||||
\(38\) | 0.918203 | + | 6.38624i | 0.148952 | + | 1.03599i | ||||
\(39\) | 0.351709 | − | 6.05304i | 0.0563184 | − | 0.969263i | ||||
\(40\) | 0.909632 | − | 0.415415i | 0.143825 | − | 0.0656829i | ||||
\(41\) | 3.28080 | + | 11.1734i | 0.512375 | + | 1.74499i | 0.655412 | + | 0.755272i | \(0.272495\pi\) |
−0.143037 | + | 0.989717i | \(0.545687\pi\) | |||||||
\(42\) | 5.19519 | − | 2.01717i | 0.801635 | − | 0.311256i | ||||
\(43\) | −4.25540 | − | 0.611834i | −0.648942 | − | 0.0933038i | −0.190020 | − | 0.981780i | \(-0.560855\pi\) |
−0.458922 | + | 0.888476i | \(0.651764\pi\) | |||||||
\(44\) | 1.55820 | − | 1.00139i | 0.234907 | − | 0.150966i | ||||
\(45\) | 0.0801545 | + | 2.99893i | 0.0119487 | + | 0.447054i | ||||
\(46\) | −4.73924 | + | 0.734595i | −0.698762 | + | 0.108310i | ||||
\(47\) | − | 5.38966i | − | 0.786162i | −0.919504 | − | 0.393081i | \(-0.871409\pi\) | ||
0.919504 | − | 0.393081i | \(-0.128591\pi\) | |||||||
\(48\) | −1.69724 | − | 0.345529i | −0.244975 | − | 0.0498728i | ||||
\(49\) | 0.477179 | − | 3.31885i | 0.0681685 | − | 0.474122i | ||||
\(50\) | 0.909632 | + | 0.415415i | 0.128641 | + | 0.0587486i | ||||
\(51\) | −4.58697 | − | 2.42569i | −0.642304 | − | 0.339664i | ||||
\(52\) | 1.45421 | + | 3.18428i | 0.201663 | + | 0.441580i | ||||
\(53\) | 4.11043 | + | 4.74369i | 0.564611 | + | 0.651595i | 0.964224 | − | 0.265088i | \(-0.0854011\pi\) |
−0.399614 | + | 0.916684i | \(0.630856\pi\) | |||||||
\(54\) | 2.94475 | − | 4.28117i | 0.400730 | − | 0.582594i | ||||
\(55\) | 1.77720 | + | 0.521834i | 0.239638 | + | 0.0703641i | ||||
\(56\) | −2.10708 | + | 2.43170i | −0.281571 | + | 0.324950i | ||||
\(57\) | 10.8869 | − | 2.52110i | 1.44201 | − | 0.333928i | ||||
\(58\) | 2.33515 | + | 1.50071i | 0.306621 | + | 0.197053i | ||||
\(59\) | 3.68683 | + | 3.19466i | 0.479985 | + | 0.415909i | 0.860957 | − | 0.508677i | \(-0.169865\pi\) |
−0.380972 | + | 0.924586i | \(0.624411\pi\) | |||||||
\(60\) | −0.850320 | − | 1.50896i | −0.109776 | − | 0.194806i | ||||
\(61\) | −8.76249 | + | 1.25986i | −1.12192 | + | 0.161308i | −0.678215 | − | 0.734864i | \(-0.737246\pi\) |
−0.443707 | + | 0.896172i | \(0.646337\pi\) | |||||||
\(62\) | −0.213877 | + | 0.185326i | −0.0271624 | + | 0.0235364i | ||||
\(63\) | −4.24309 | − | 8.67024i | −0.534579 | − | 1.09235i | ||||
\(64\) | 0.959493 | − | 0.281733i | 0.119937 | − | 0.0352166i | ||||
\(65\) | −1.45421 | + | 3.18428i | −0.180373 | + | 0.394961i | ||||
\(66\) | −1.95672 | − | 2.54235i | −0.240856 | − | 0.312941i | ||||
\(67\) | −3.59050 | − | 5.58693i | −0.438650 | − | 0.682553i | 0.549595 | − | 0.835431i | \(-0.314782\pi\) |
−0.988245 | + | 0.152879i | \(0.951146\pi\) | |||||||
\(68\) | 2.99579 | 0.363292 | ||||||||
\(69\) | 1.96272 | + | 8.07141i | 0.236284 | + | 0.971684i | ||||
\(70\) | −3.21761 | −0.384577 | ||||||||
\(71\) | −2.11429 | − | 3.28990i | −0.250920 | − | 0.390439i | 0.692829 | − | 0.721102i | \(-0.256364\pi\) |
−0.943749 | + | 0.330663i | \(0.892728\pi\) | |||||||
\(72\) | −0.347453 | + | 2.97981i | −0.0409478 | + | 0.351174i | ||||
\(73\) | 2.20194 | − | 4.82158i | 0.257718 | − | 0.564323i | −0.735904 | − | 0.677086i | \(-0.763243\pi\) |
0.993622 | + | 0.112763i | \(0.0359700\pi\) | |||||||
\(74\) | −1.22316 | + | 0.359153i | −0.142190 | + | 0.0417506i | ||||
\(75\) | 0.583554 | − | 1.63079i | 0.0673830 | − | 0.188307i | ||||
\(76\) | −4.87603 | + | 4.22510i | −0.559319 | + | 0.484653i | ||||
\(77\) | −5.89909 | + | 0.848161i | −0.672264 | + | 0.0966569i | ||||
\(78\) | 5.28229 | − | 2.97665i | 0.598102 | − | 0.337039i | ||||
\(79\) | 4.05792 | + | 3.51621i | 0.456552 | + | 0.395604i | 0.852549 | − | 0.522647i | \(-0.175056\pi\) |
−0.395997 | + | 0.918252i | \(0.629601\pi\) | |||||||
\(80\) | 0.841254 | + | 0.540641i | 0.0940550 | + | 0.0604455i | ||||
\(81\) | −7.82039 | − | 4.45438i | −0.868932 | − | 0.494931i | ||||
\(82\) | −7.62591 | + | 8.80077i | −0.842141 | + | 0.971883i | ||||
\(83\) | −11.1958 | − | 3.28739i | −1.22890 | − | 0.360838i | −0.398067 | − | 0.917356i | \(-0.630319\pi\) |
−0.830835 | + | 0.556518i | \(0.812137\pi\) | |||||||
\(84\) | 4.50568 | + | 3.27990i | 0.491610 | + | 0.357867i | ||||
\(85\) | 1.96182 | + | 2.26406i | 0.212790 | + | 0.245572i | ||||
\(86\) | −1.78593 | − | 3.91065i | −0.192582 | − | 0.421696i | ||||
\(87\) | 2.24756 | − | 4.25014i | 0.240964 | − | 0.455663i | ||||
\(88\) | 1.68485 | + | 0.769445i | 0.179606 | + | 0.0820231i | ||||
\(89\) | 0.253774 | − | 1.76504i | 0.0269000 | − | 0.187094i | −0.971941 | − | 0.235225i | \(-0.924417\pi\) |
0.998841 | + | 0.0481310i | \(0.0153265\pi\) | |||||||
\(90\) | −2.47952 | + | 1.68877i | −0.261365 | + | 0.178012i | ||||
\(91\) | − | 11.2636i | − | 1.18075i | ||||||
\(92\) | −3.18021 | − | 3.58975i | −0.331559 | − | 0.374257i | ||||
\(93\) | 0.351203 | + | 0.341941i | 0.0364180 | + | 0.0354576i | ||||
\(94\) | 4.53407 | − | 2.91387i | 0.467654 | − | 0.300543i | ||||
\(95\) | −6.38624 | − | 0.918203i | −0.655215 | − | 0.0942056i | ||||
\(96\) | −0.626917 | − | 1.61461i | −0.0639845 | − | 0.164791i | ||||
\(97\) | 2.61240 | + | 8.89702i | 0.265249 | + | 0.903355i | 0.979155 | + | 0.203114i | \(0.0651061\pi\) |
−0.713906 | + | 0.700241i | \(0.753076\pi\) | |||||||
\(98\) | 3.04998 | − | 1.39288i | 0.308095 | − | 0.140702i | ||||
\(99\) | −4.10075 | + | 3.74976i | −0.412141 | + | 0.376866i | ||||
\(100\) | 0.142315 | + | 0.989821i | 0.0142315 | + | 0.0989821i | ||||
\(101\) | −2.65537 | + | 9.04335i | −0.264219 | + | 0.899847i | 0.715355 | + | 0.698761i | \(0.246265\pi\) |
−0.979574 | + | 0.201085i | \(0.935553\pi\) | |||||||
\(102\) | −0.439283 | − | 5.17023i | −0.0434955 | − | 0.511929i | ||||
\(103\) | −8.93699 | + | 13.9062i | −0.880587 | + | 1.37022i | 0.0478983 | + | 0.998852i | \(0.484748\pi\) |
−0.928486 | + | 0.371368i | \(0.878889\pi\) | |||||||
\(104\) | −1.89258 | + | 2.94491i | −0.185583 | + | 0.288772i | ||||
\(105\) | 0.471810 | + | 5.55305i | 0.0460439 | + | 0.541922i | ||||
\(106\) | −1.76838 | + | 6.02254i | −0.171760 | + | 0.584961i | ||||
\(107\) | 1.25334 | + | 8.71717i | 0.121165 | + | 0.842721i | 0.956240 | + | 0.292584i | \(0.0945152\pi\) |
−0.835075 | + | 0.550136i | \(0.814576\pi\) | |||||||
\(108\) | 5.19360 | + | 0.162706i | 0.499755 | + | 0.0156564i | ||||
\(109\) | −7.90549 | + | 3.61032i | −0.757209 | + | 0.345806i | −0.756327 | − | 0.654194i | \(-0.773008\pi\) |
−0.000882083 | 1.00000i | \(0.500281\pi\) | ||||||||
\(110\) | 0.521834 | + | 1.77720i | 0.0497549 | + | 0.169450i | ||||
\(111\) | 0.799194 | + | 2.05831i | 0.0758562 | + | 0.195366i | ||||
\(112\) | −3.18485 | − | 0.457913i | −0.300940 | − | 0.0432687i | ||||
\(113\) | 4.90479 | − | 3.15212i | 0.461404 | − | 0.296527i | −0.289212 | − | 0.957265i | \(-0.593393\pi\) |
0.750616 | + | 0.660739i | \(0.229757\pi\) | |||||||
\(114\) | 8.00681 | + | 7.79567i | 0.749907 | + | 0.730131i | ||||
\(115\) | 0.630358 | − | 4.75422i | 0.0587812 | − | 0.443334i | ||||
\(116\) | 2.77580i | 0.257727i | ||||||||
\(117\) | −5.91176 | − | 8.67988i | −0.546542 | − | 0.802455i | ||||
\(118\) | −0.694266 | + | 4.82873i | −0.0639124 | + | 0.444520i | ||||
\(119\) | −8.76818 | − | 4.00429i | −0.803777 | − | 0.367073i | ||||
\(120\) | 0.809699 | − | 1.53114i | 0.0739151 | − | 0.139773i | ||||
\(121\) | −3.14437 | − | 6.88522i | −0.285852 | − | 0.625929i | ||||
\(122\) | −5.79722 | − | 6.69035i | −0.524855 | − | 0.605716i | ||||
\(123\) | 16.3069 | + | 11.8706i | 1.47034 | + | 1.07033i | ||||
\(124\) | −0.271536 | − | 0.0797303i | −0.0243847 | − | 0.00715999i | ||||
\(125\) | −0.654861 | + | 0.755750i | −0.0585725 | + | 0.0675963i | ||||
\(126\) | 4.99988 | − | 8.25700i | 0.445425 | − | 0.735592i | ||||
\(127\) | 8.38053 | + | 5.38584i | 0.743652 | + | 0.477916i | 0.856792 | − | 0.515663i | \(-0.172454\pi\) |
−0.113139 | + | 0.993579i | \(0.536091\pi\) | |||||||
\(128\) | 0.755750 | + | 0.654861i | 0.0667995 | + | 0.0578821i | ||||
\(129\) | −6.48725 | + | 3.65566i | −0.571171 | + | 0.321863i | ||||
\(130\) | −3.46499 | + | 0.498190i | −0.303900 | + | 0.0436942i | ||||
\(131\) | −8.04636 | + | 6.97221i | −0.703014 | + | 0.609165i | −0.931224 | − | 0.364447i | \(-0.881258\pi\) |
0.228210 | + | 0.973612i | \(0.426713\pi\) | |||||||
\(132\) | 1.08088 | − | 3.02059i | 0.0940783 | − | 0.262909i | ||||
\(133\) | 19.9188 | − | 5.84869i | 1.72718 | − | 0.507145i | ||||
\(134\) | 2.75885 | − | 6.04105i | 0.238329 | − | 0.521867i | ||||
\(135\) | 3.27812 | + | 4.03161i | 0.282136 | + | 0.346986i | ||||
\(136\) | 1.61964 | + | 2.52022i | 0.138883 | + | 0.216107i | ||||
\(137\) | −5.12402 | −0.437774 | −0.218887 | − | 0.975750i | \(-0.570243\pi\) | ||||
−0.218887 | + | 0.975750i | \(0.570243\pi\) | |||||||
\(138\) | −5.72898 | + | 6.01488i | −0.487683 | + | 0.512021i | ||||
\(139\) | 21.7568 | 1.84539 | 0.922695 | − | 0.385532i | \(-0.125982\pi\) | ||||
0.922695 | + | 0.385532i | \(0.125982\pi\) | |||||||
\(140\) | −1.73957 | − | 2.70682i | −0.147020 | − | 0.228768i | ||||
\(141\) | −5.69370 | − | 7.39777i | −0.479496 | − | 0.623005i | ||||
\(142\) | 1.62457 | − | 3.55731i | 0.136331 | − | 0.298523i | ||||
\(143\) | −6.22131 | + | 1.82674i | −0.520252 | + | 0.152760i | ||||
\(144\) | −2.69462 | + | 1.31871i | −0.224552 | + | 0.109893i | ||||
\(145\) | −2.09781 | + | 1.81776i | −0.174214 | + | 0.150957i | ||||
\(146\) | 5.24663 | − | 0.754351i | 0.434214 | − | 0.0624305i | ||||
\(147\) | −2.85111 | − | 5.05951i | −0.235155 | − | 0.417302i | ||||
\(148\) | −0.963429 | − | 0.834816i | −0.0791934 | − | 0.0686215i | ||||
\(149\) | −15.1470 | − | 9.73438i | −1.24089 | − | 0.797471i | −0.255339 | − | 0.966852i | \(-0.582187\pi\) |
−0.985551 | + | 0.169380i | \(0.945823\pi\) | |||||||
\(150\) | 1.68740 | − | 0.390753i | 0.137775 | − | 0.0319048i | ||||
\(151\) | −12.8464 | + | 14.8255i | −1.04542 | + | 1.20648i | −0.0674548 | + | 0.997722i | \(0.521488\pi\) |
−0.977967 | + | 0.208759i | \(0.933058\pi\) | |||||||
\(152\) | −6.19057 | − | 1.81771i | −0.502121 | − | 0.147436i | ||||
\(153\) | −8.85853 | + | 1.51626i | −0.716170 | + | 0.122582i | ||||
\(154\) | −3.90281 | − | 4.50408i | −0.314497 | − | 0.362949i | ||||
\(155\) | −0.117562 | − | 0.257426i | −0.00944284 | − | 0.0206769i | ||||
\(156\) | 5.35994 | + | 2.83445i | 0.429138 | + | 0.226938i | ||||
\(157\) | 12.1514 | + | 5.54934i | 0.969783 | + | 0.442885i | 0.836364 | − | 0.548174i | \(-0.184677\pi\) |
0.133419 | + | 0.991060i | \(0.457404\pi\) | |||||||
\(158\) | −0.764145 | + | 5.31475i | −0.0607921 | + | 0.422818i | ||||
\(159\) | 10.6532 | + | 2.16882i | 0.844854 | + | 0.171998i | ||||
\(160\) | 1.00000i | 0.0790569i | ||||||||
\(161\) | 4.50974 | + | 14.7574i | 0.355417 | + | 1.16305i | ||||
\(162\) | −0.480755 | − | 8.98715i | −0.0377717 | − | 0.706097i | ||||
\(163\) | 19.6150 | − | 12.6058i | 1.53637 | − | 0.987363i | 0.547795 | − | 0.836613i | \(-0.315467\pi\) |
0.988572 | − | 0.150750i | \(-0.0481689\pi\) | |||||||
\(164\) | −11.5266 | − | 1.65727i | −0.900073 | − | 0.129411i | ||||
\(165\) | 2.99064 | − | 1.16120i | 0.232821 | − | 0.0903990i | ||||
\(166\) | −3.28739 | − | 11.1958i | −0.255151 | − | 0.868965i | ||||
\(167\) | 6.44543 | − | 2.94353i | 0.498762 | − | 0.227777i | −0.150117 | − | 0.988668i | \(-0.547965\pi\) |
0.648880 | + | 0.760891i | \(0.275238\pi\) | |||||||
\(168\) | −0.323274 | + | 5.56367i | −0.0249411 | + | 0.429247i | ||||
\(169\) | 0.106118 | + | 0.738066i | 0.00816292 | + | 0.0567743i | ||||
\(170\) | −0.844010 | + | 2.87444i | −0.0647326 | + | 0.220459i | ||||
\(171\) | 12.2800 | − | 14.9615i | 0.939072 | − | 1.14414i | ||||
\(172\) | 2.32430 | − | 3.61668i | 0.177226 | − | 0.275769i | ||||
\(173\) | −5.60048 | + | 8.71452i | −0.425797 | + | 0.662552i | −0.986179 | − | 0.165681i | \(-0.947018\pi\) |
0.560383 | + | 0.828234i | \(0.310654\pi\) | |||||||
\(174\) | 4.79057 | − | 0.407026i | 0.363172 | − | 0.0308566i | ||||
\(175\) | 0.906504 | − | 3.08727i | 0.0685253 | − | 0.233376i | ||||
\(176\) | 0.263600 | + | 1.83338i | 0.0198696 | + | 0.138196i | ||||
\(177\) | 8.43538 | + | 0.490133i | 0.634042 | + | 0.0368406i | ||||
\(178\) | 1.62204 | − | 0.740763i | 0.121577 | − | 0.0555225i | ||||
\(179\) | −5.17490 | − | 17.6241i | −0.386790 | − | 1.31729i | −0.891117 | − | 0.453773i | \(-0.850078\pi\) |
0.504327 | − | 0.863513i | \(-0.331741\pi\) | |||||||
\(180\) | −2.76122 | − | 1.17289i | −0.205809 | − | 0.0874220i | ||||
\(181\) | −16.9589 | − | 2.43832i | −1.26055 | − | 0.181239i | −0.520539 | − | 0.853838i | \(-0.674269\pi\) |
−0.740007 | + | 0.672599i | \(0.765178\pi\) | |||||||
\(182\) | 9.47556 | − | 6.08957i | 0.702375 | − | 0.451389i | ||||
\(183\) | −10.6964 | + | 10.9861i | −0.790697 | + | 0.812113i | ||||
\(184\) | 1.30054 | − | 4.61612i | 0.0958770 | − | 0.340305i | ||||
\(185\) | − | 1.27480i | − | 0.0937252i | ||||||
\(186\) | −0.0977847 | + | 0.480318i | −0.00716993 | + | 0.0352186i | ||||
\(187\) | −0.789689 | + | 5.49241i | −0.0577478 | + | 0.401645i | ||||
\(188\) | 4.90261 | + | 2.23894i | 0.357559 | + | 0.163292i | ||||
\(189\) | −14.9834 | − | 7.41820i | −1.08988 | − | 0.539595i | ||||
\(190\) | −2.68022 | − | 5.86887i | −0.194444 | − | 0.425772i | ||||
\(191\) | 2.50095 | + | 2.88625i | 0.180963 | + | 0.208842i | 0.838982 | − | 0.544159i | \(-0.183151\pi\) |
−0.658020 | + | 0.753001i | \(0.728606\pi\) | |||||||
\(192\) | 1.01936 | − | 1.40032i | 0.0735661 | − | 0.101060i | ||||
\(193\) | −19.2116 | − | 5.64103i | −1.38288 | − | 0.406051i | −0.496110 | − | 0.868260i | \(-0.665239\pi\) |
−0.886771 | + | 0.462209i | \(0.847057\pi\) | |||||||
\(194\) | −6.07228 | + | 7.00778i | −0.435964 | + | 0.503129i | ||||
\(195\) | 1.36788 | + | 5.90694i | 0.0979557 | + | 0.423005i | ||||
\(196\) | 2.82071 | + | 1.81276i | 0.201479 | + | 0.129483i | ||||
\(197\) | 16.1402 | + | 13.9856i | 1.14994 | + | 0.996430i | 0.999970 | + | 0.00774023i | \(0.00246382\pi\) |
0.149972 | + | 0.988690i | \(0.452082\pi\) | |||||||
\(198\) | −5.37153 | − | 1.42249i | −0.381738 | − | 0.101092i | ||||
\(199\) | −16.1046 | + | 2.31549i | −1.14162 | + | 0.164141i | −0.687079 | − | 0.726583i | \(-0.741107\pi\) |
−0.454546 | + | 0.890723i | \(0.650198\pi\) | |||||||
\(200\) | −0.755750 | + | 0.654861i | −0.0534396 | + | 0.0463056i | ||||
\(201\) | −10.8304 | − | 3.87550i | −0.763916 | − | 0.273357i | ||||
\(202\) | −9.04335 | + | 2.65537i | −0.636288 | + | 0.186831i | ||||
\(203\) | 3.71025 | − | 8.12432i | 0.260409 | − | 0.570215i | ||||
\(204\) | 4.11198 | − | 3.16478i | 0.287896 | − | 0.221579i | ||||
\(205\) | −6.29581 | − | 9.79647i | −0.439718 | − | 0.684215i | ||||
\(206\) | −16.5304 | −1.15172 | ||||||||
\(207\) | 11.2207 | + | 9.00527i | 0.779895 | + | 0.625910i | ||||
\(208\) | −3.50062 | −0.242724 | ||||||||
\(209\) | −6.46090 | − | 10.0533i | −0.446909 | − | 0.695405i | ||||
\(210\) | −4.41644 | + | 3.39912i | −0.304763 | + | 0.234561i | ||||
\(211\) | −3.07953 | + | 6.74322i | −0.212003 | + | 0.464222i | −0.985521 | − | 0.169552i | \(-0.945768\pi\) |
0.773518 | + | 0.633774i | \(0.218495\pi\) | |||||||
\(212\) | −6.02254 | + | 1.76838i | −0.413630 | + | 0.121453i | ||||
\(213\) | −6.37754 | − | 2.28211i | −0.436982 | − | 0.156368i | ||||
\(214\) | −6.65574 | + | 5.76723i | −0.454977 | + | 0.394240i | ||||
\(215\) | 4.25540 | − | 0.611834i | 0.290216 | − | 0.0417267i | ||||
\(216\) | 2.67100 | + | 4.45710i | 0.181738 | + | 0.303267i | ||||
\(217\) | 0.688172 | + | 0.596304i | 0.0467162 | + | 0.0404798i | ||||
\(218\) | −7.31123 | − | 4.69864i | −0.495179 | − | 0.318232i | ||||
\(219\) | −2.07122 | − | 8.94419i | −0.139960 | − | 0.604392i | ||||
\(220\) | −1.21295 | + | 1.39982i | −0.0817773 | + | 0.0943761i | ||||
\(221\) | −10.0623 | − | 2.95456i | −0.676864 | − | 0.198745i | ||||
\(222\) | −1.29948 | + | 1.78513i | −0.0872155 | + | 0.119810i | ||||
\(223\) | −7.65776 | − | 8.83752i | −0.512801 | − | 0.591804i | 0.439012 | − | 0.898481i | \(-0.355328\pi\) |
−0.951814 | + | 0.306677i | \(0.900783\pi\) | |||||||
\(224\) | −1.33664 | − | 2.92684i | −0.0893081 | − | 0.195557i | ||||
\(225\) | −0.921804 | − | 2.85487i | −0.0614536 | − | 0.190325i | ||||
\(226\) | 5.30346 | + | 2.42201i | 0.352781 | + | 0.161110i | ||||
\(227\) | 3.25752 | − | 22.6565i | 0.216209 | − | 1.50377i | −0.535649 | − | 0.844441i | \(-0.679933\pi\) |
0.751858 | − | 0.659326i | \(-0.229158\pi\) | |||||||
\(228\) | −2.22932 | + | 10.9504i | −0.147641 | + | 0.725209i | ||||
\(229\) | 10.8505i | 0.717018i | 0.933526 | + | 0.358509i | \(0.116715\pi\) | ||||
−0.933526 | + | 0.358509i | \(0.883285\pi\) | |||||||
\(230\) | 4.34031 | − | 2.04004i | 0.286191 | − | 0.134516i | ||||
\(231\) | −7.20100 | + | 7.39604i | −0.473791 | + | 0.486624i | ||||
\(232\) | −2.33515 | + | 1.50071i | −0.153310 | + | 0.0985265i | ||||
\(233\) | −3.56986 | − | 0.513268i | −0.233869 | − | 0.0336253i | 0.0243836 | − | 0.999703i | \(-0.492238\pi\) |
−0.258253 | + | 0.966077i | \(0.583147\pi\) | |||||||
\(234\) | 4.10584 | − | 9.66598i | 0.268407 | − | 0.631885i | ||||
\(235\) | 1.51844 | + | 5.17134i | 0.0990522 | + | 0.337341i | ||||
\(236\) | −4.43753 | + | 2.02655i | −0.288859 | + | 0.131917i | ||||
\(237\) | 9.28441 | + | 0.539465i | 0.603087 | + | 0.0350420i | ||||
\(238\) | −1.37181 | − | 9.54114i | −0.0889212 | − | 0.618460i | ||||
\(239\) | 1.15914 | − | 3.94767i | 0.0749785 | − | 0.255353i | −0.913471 | − | 0.406904i | \(-0.866608\pi\) |
0.988450 | + | 0.151550i | \(0.0484266\pi\) | |||||||
\(240\) | 1.72583 | − | 0.146634i | 0.111402 | − | 0.00946517i | ||||
\(241\) | −15.3411 | + | 23.8712i | −0.988208 | + | 1.53768i | −0.152650 | + | 0.988280i | \(0.548781\pi\) |
−0.835558 | + | 0.549402i | \(0.814856\pi\) | |||||||
\(242\) | 4.09224 | − | 6.36765i | 0.263059 | − | 0.409328i | ||||
\(243\) | −15.4398 | + | 2.14752i | −0.990465 | + | 0.137764i | ||||
\(244\) | 2.49406 | − | 8.49400i | 0.159666 | − | 0.543773i | ||||
\(245\) | 0.477179 | + | 3.31885i | 0.0304859 | + | 0.212034i | ||||
\(246\) | −1.16999 | + | 20.1359i | −0.0745956 | + | 1.28382i | ||||
\(247\) | 20.5447 | − | 9.38244i | 1.30723 | − | 0.596990i | ||||
\(248\) | −0.0797303 | − | 0.271536i | −0.00506288 | − | 0.0172426i | ||||
\(249\) | −18.8401 | + | 7.31518i | −1.19394 | + | 0.463581i | ||||
\(250\) | −0.989821 | − | 0.142315i | −0.0626018 | − | 0.00900078i | ||||
\(251\) | 20.1980 | − | 12.9805i | 1.27489 | − | 0.819321i | 0.284640 | − | 0.958634i | \(-0.408126\pi\) |
0.990248 | + | 0.139313i | \(0.0444894\pi\) | |||||||
\(252\) | 9.64937 | − | 0.257905i | 0.607853 | − | 0.0162465i | ||||
\(253\) | 7.41967 | − | 4.88426i | 0.466471 | − | 0.307071i | ||||
\(254\) | 9.96196i | 0.625069i | ||||||||
\(255\) | 5.08456 | + | 1.03513i | 0.318407 | + | 0.0648225i | ||||
\(256\) | −0.142315 | + | 0.989821i | −0.00889468 | + | 0.0618638i | ||||
\(257\) | 23.1145 | + | 10.5561i | 1.44185 | + | 0.658469i | 0.974249 | − | 0.225474i | \(-0.0723929\pi\) |
0.467596 | + | 0.883942i | \(0.345120\pi\) | |||||||
\(258\) | −6.58261 | − | 3.48103i | −0.409815 | − | 0.216719i | ||||
\(259\) | 1.70395 | + | 3.73113i | 0.105878 | + | 0.231841i | ||||
\(260\) | −2.29242 | − | 2.64559i | −0.142170 | − | 0.164073i | ||||
\(261\) | −1.40492 | − | 8.20804i | −0.0869623 | − | 0.508065i | ||||
\(262\) | −10.2156 | − | 2.99957i | −0.631121 | − | 0.185314i | ||||
\(263\) | 3.84446 | − | 4.43674i | 0.237060 | − | 0.273581i | −0.624737 | − | 0.780835i | \(-0.714794\pi\) |
0.861797 | + | 0.507254i | \(0.169339\pi\) | |||||||
\(264\) | 3.12545 | − | 0.723765i | 0.192358 | − | 0.0445446i | ||||
\(265\) | −5.28038 | − | 3.39349i | −0.324371 | − | 0.208461i | ||||
\(266\) | 15.6891 | + | 13.5947i | 0.961963 | + | 0.833546i | ||||
\(267\) | −1.51628 | − | 2.69076i | −0.0927948 | − | 0.164672i | ||||
\(268\) | 6.57360 | − | 0.945141i | 0.401547 | − | 0.0577337i | ||||
\(269\) | 6.79932 | − | 5.89164i | 0.414562 | − | 0.359220i | −0.422467 | − | 0.906378i | \(-0.638836\pi\) |
0.837029 | + | 0.547158i | \(0.184290\pi\) | |||||||
\(270\) | −1.61932 | + | 4.93739i | −0.0985488 | + | 0.300480i | ||||
\(271\) | 26.0003 | − | 7.63438i | 1.57941 | − | 0.463756i | 0.629685 | − | 0.776850i | \(-0.283184\pi\) |
0.949722 | + | 0.313095i | \(0.101366\pi\) | |||||||
\(272\) | −1.24449 | + | 2.72506i | −0.0754586 | + | 0.165231i | ||||
\(273\) | −11.8990 | − | 15.4603i | −0.720161 | − | 0.935699i | ||||
\(274\) | −2.77025 | − | 4.31060i | −0.167357 | − | 0.260413i | ||||
\(275\) | −1.85223 | −0.111694 | ||||||||
\(276\) | −8.15736 | − | 1.56763i | −0.491015 | − | 0.0943604i | ||||
\(277\) | 16.3447 | 0.982055 | 0.491028 | − | 0.871144i | \(-0.336621\pi\) | ||||
0.491028 | + | 0.871144i | \(0.336621\pi\) | |||||||
\(278\) | 11.7626 | + | 18.3030i | 0.705475 | + | 1.09774i | ||||
\(279\) | 0.843286 | + | 0.0983293i | 0.0504862 | + | 0.00588682i | ||||
\(280\) | 1.33664 | − | 2.92684i | 0.0798796 | − | 0.174912i | ||||
\(281\) | −17.2277 | + | 5.05852i | −1.02772 | + | 0.301766i | −0.751784 | − | 0.659410i | \(-0.770806\pi\) |
−0.275937 | + | 0.961176i | \(0.588988\pi\) | |||||||
\(282\) | 3.14516 | − | 8.78938i | 0.187291 | − | 0.523400i | ||||
\(283\) | 11.2533 | − | 9.75107i | 0.668941 | − | 0.579641i | −0.252766 | − | 0.967527i | \(-0.581340\pi\) |
0.921707 | + | 0.387887i | \(0.126795\pi\) | |||||||
\(284\) | 3.87091 | − | 0.556552i | 0.229696 | − | 0.0330253i | ||||
\(285\) | −9.73567 | + | 5.48619i | −0.576691 | + | 0.324974i | ||||
\(286\) | −4.90025 | − | 4.24609i | −0.289758 | − | 0.251077i | ||||
\(287\) | 31.5212 | + | 20.2574i | 1.86064 | + | 1.19576i | ||||
\(288\) | −2.56619 | − | 1.55391i | −0.151214 | − | 0.0915652i | ||||
\(289\) | 5.25543 | − | 6.06509i | 0.309143 | − | 0.356770i | ||||
\(290\) | −2.66336 | − | 0.782034i | −0.156398 | − | 0.0459226i | ||||
\(291\) | 12.9847 | + | 9.45216i | 0.761174 | + | 0.554095i | ||||
\(292\) | 3.47114 | + | 4.00591i | 0.203133 | + | 0.234428i | ||||
\(293\) | −3.17818 | − | 6.95924i | −0.185671 | − | 0.406563i | 0.793791 | − | 0.608190i | \(-0.208104\pi\) |
−0.979462 | + | 0.201627i | \(0.935377\pi\) | |||||||
\(294\) | 2.71491 | − | 5.13388i | 0.158337 | − | 0.299414i | ||||
\(295\) | −4.43753 | − | 2.02655i | −0.258363 | − | 0.117990i | ||||
\(296\) | 0.181423 | − | 1.26182i | 0.0105450 | − | 0.0733420i | ||||
\(297\) | −1.66734 | + | 9.47895i | −0.0967486 | + | 0.550025i | ||||
\(298\) | − | 18.0053i | − | 1.04302i | ||||||
\(299\) | 7.14139 | + | 15.1938i | 0.412997 | + | 0.878678i | ||||
\(300\) | 1.24100 | + | 1.20827i | 0.0716491 | + | 0.0697597i | ||||
\(301\) | −11.6371 | + | 7.47868i | −0.670749 | + | 0.431064i | ||||
\(302\) | −19.4173 | − | 2.79178i | −1.11734 | − | 0.160649i | ||||
\(303\) | 5.90878 | + | 15.2179i | 0.339450 | + | 0.874248i | ||||
\(304\) | −1.81771 | − | 6.19057i | −0.104253 | − | 0.355053i | ||||
\(305\) | 8.05261 | − | 3.67750i | 0.461091 | − | 0.210573i | ||||
\(306\) | −6.06484 | − | 6.63252i | −0.346704 | − | 0.379156i | ||||
\(307\) | −3.78724 | − | 26.3408i | −0.216149 | − | 1.50335i | −0.752071 | − | 0.659082i | \(-0.770945\pi\) |
0.535922 | − | 0.844267i | \(-0.319964\pi\) | |||||||
\(308\) | 1.67906 | − | 5.71834i | 0.0956731 | − | 0.325833i | ||||
\(309\) | 2.42391 | + | 28.5286i | 0.137891 | + | 1.62294i | ||||
\(310\) | 0.153001 | − | 0.238075i | 0.00868989 | − | 0.0135217i | ||||
\(311\) | 2.31236 | − | 3.59810i | 0.131122 | − | 0.204029i | −0.769484 | − | 0.638666i | \(-0.779487\pi\) |
0.900606 | + | 0.434636i | \(0.143123\pi\) | |||||||
\(312\) | 0.513309 | + | 6.04149i | 0.0290604 | + | 0.342032i | ||||
\(313\) | −1.71466 | + | 5.83958i | −0.0969181 | + | 0.330073i | −0.993652 | − | 0.112497i | \(-0.964115\pi\) |
0.896734 | + | 0.442570i | \(0.145933\pi\) | |||||||
\(314\) | 1.90112 | + | 13.2226i | 0.107286 | + | 0.746192i | ||||
\(315\) | 6.51391 | + | 7.12361i | 0.367017 | + | 0.401370i | ||||
\(316\) | −4.88418 | + | 2.23053i | −0.274756 | + | 0.125477i | ||||
\(317\) | −2.97046 | − | 10.1165i | −0.166838 | − | 0.568196i | −0.999888 | − | 0.0149987i | \(-0.995226\pi\) |
0.833050 | − | 0.553198i | \(-0.186593\pi\) | |||||||
\(318\) | 3.93503 | + | 10.1346i | 0.220666 | + | 0.568320i | ||||
\(319\) | −5.08910 | − | 0.731701i | −0.284935 | − | 0.0409674i | ||||
\(320\) | −0.841254 | + | 0.540641i | −0.0470275 | + | 0.0302227i | ||||
\(321\) | 10.9292 | + | 10.6410i | 0.610011 | + | 0.593924i | ||||
\(322\) | −9.97657 | + | 11.7723i | −0.555972 | + | 0.656044i | ||||
\(323\) | − | 19.3286i | − | 1.07547i | ||||||
\(324\) | 7.30056 | − | 5.26326i | 0.405586 | − | 0.292403i | ||||
\(325\) | 0.498190 | − | 3.46499i | 0.0276346 | − | 0.192203i | ||||
\(326\) | 21.2094 | + | 9.68599i | 1.17468 | + | 0.536457i | ||||
\(327\) | −7.03699 | + | 13.3069i | −0.389147 | + | 0.735875i | ||||
\(328\) | −4.83754 | − | 10.5927i | −0.267109 | − | 0.584887i | ||||
\(329\) | −11.3565 | − | 13.1061i | −0.626102 | − | 0.722560i | ||||
\(330\) | 2.59372 | + | 1.88809i | 0.142780 | + | 0.103936i | ||||
\(331\) | 19.3628 | + | 5.68543i | 1.06427 | + | 0.312499i | 0.766571 | − | 0.642159i | \(-0.221961\pi\) |
0.297703 | + | 0.954658i | \(0.403779\pi\) | |||||||
\(332\) | 7.64123 | − | 8.81845i | 0.419367 | − | 0.483976i | ||||
\(333\) | 3.27138 | + | 1.98093i | 0.179271 | + | 0.108554i | ||||
\(334\) | 5.96092 | + | 3.83085i | 0.326167 | + | 0.209615i | ||||
\(335\) | 5.01908 | + | 4.34906i | 0.274222 | + | 0.237615i | ||||
\(336\) | −4.85523 | + | 2.73599i | −0.264875 | + | 0.149261i | ||||
\(337\) | 6.56404 | − | 0.943767i | 0.357566 | − | 0.0514102i | 0.0388089 | − | 0.999247i | \(-0.487644\pi\) |
0.318757 | + | 0.947836i | \(0.396735\pi\) | |||||||
\(338\) | −0.563529 | + | 0.488301i | −0.0306519 | + | 0.0265601i | ||||
\(339\) | 3.40232 | − | 9.50804i | 0.184789 | − | 0.516406i | ||||
\(340\) | −2.87444 | + | 0.844010i | −0.155888 | + | 0.0457729i | ||||
\(341\) | 0.217753 | − | 0.476812i | 0.0117920 | − | 0.0258208i | ||||
\(342\) | 19.2255 | + | 2.24174i | 1.03960 | + | 0.121219i | ||||
\(343\) | 6.34424 | + | 9.87183i | 0.342557 | + | 0.533028i | ||||
\(344\) | 4.29916 | 0.231795 | ||||||||
\(345\) | −4.15720 | − | 7.19150i | −0.223816 | − | 0.387177i | ||||
\(346\) | −10.3590 | −0.556902 | ||||||||
\(347\) | 8.69112 | + | 13.5237i | 0.466564 | + | 0.725988i | 0.992191 | − | 0.124727i | \(-0.0398056\pi\) |
−0.525627 | + | 0.850715i | \(0.676169\pi\) | |||||||
\(348\) | 2.93239 | + | 3.81003i | 0.157193 | + | 0.204239i | ||||
\(349\) | −10.3720 | + | 22.7116i | −0.555202 | + | 1.21572i | 0.399107 | + | 0.916904i | \(0.369320\pi\) |
−0.954310 | + | 0.298820i | \(0.903407\pi\) | |||||||
\(350\) | 3.08727 | − | 0.906504i | 0.165021 | − | 0.0484547i | ||||
\(351\) | −17.2839 | − | 5.66863i | −0.922547 | − | 0.302569i | ||||
\(352\) | −1.39982 | + | 1.21295i | −0.0746108 | + | 0.0646507i | ||||
\(353\) | 31.4976 | − | 4.52868i | 1.67645 | − | 0.241037i | 0.762536 | − | 0.646945i | \(-0.223954\pi\) |
0.913914 | + | 0.405908i | \(0.133045\pi\) | |||||||
\(354\) | 4.14818 | + | 7.36128i | 0.220473 | + | 0.391247i | ||||
\(355\) | 2.95552 | + | 2.56097i | 0.156863 | + | 0.135922i | ||||
\(356\) | 1.50011 | + | 0.964064i | 0.0795058 | + | 0.0510953i | ||||
\(357\) | −16.2653 | + | 3.76657i | −0.860849 | + | 0.199348i | ||||
\(358\) | 12.0286 | − | 13.8817i | 0.635729 | − | 0.733671i | ||||
\(359\) | 30.1194 | + | 8.84385i | 1.58964 | + | 0.466761i | 0.952639 | − | 0.304102i | \(-0.0983564\pi\) |
0.637001 | + | 0.770863i | \(0.280175\pi\) | |||||||
\(360\) | −0.506131 | − | 2.95700i | −0.0266754 | − | 0.155847i | ||||
\(361\) | 14.8177 | + | 17.1005i | 0.779877 | + | 0.900026i | ||||
\(362\) | −7.11743 | − | 15.5850i | −0.374084 | − | 0.819130i | ||||
\(363\) | −11.5896 | − | 6.12881i | −0.608294 | − | 0.321679i | ||||
\(364\) | 10.2457 | + | 4.67907i | 0.537023 | + | 0.245250i | ||||
\(365\) | −0.754351 | + | 5.24663i | −0.0394845 | + | 0.274621i | ||||
\(366\) | −15.0249 | − | 3.05883i | −0.785366 | − | 0.159888i | ||||
\(367\) | 1.34419i | 0.0701661i | 0.999384 | + | 0.0350831i | \(0.0111696\pi\) | ||||
−0.999384 | + | 0.0350831i | \(0.988830\pi\) | |||||||
\(368\) | 4.58645 | − | 1.40158i | 0.239085 | − | 0.0730625i | ||||
\(369\) | 34.9228 | − | 0.933406i | 1.81801 | − | 0.0485912i | ||||
\(370\) | 1.07243 | − | 0.689209i | 0.0557530 | − | 0.0358303i | ||||
\(371\) | 19.9907 | + | 2.87423i | 1.03786 | + | 0.149222i | ||||
\(372\) | −0.456935 | + | 0.177418i | −0.0236910 | + | 0.00919867i | ||||
\(373\) | −7.67790 | − | 26.1485i | −0.397547 | − | 1.35392i | −0.878738 | − | 0.477304i | \(-0.841614\pi\) |
0.481191 | − | 0.876616i | \(-0.340204\pi\) | |||||||
\(374\) | −5.04745 | + | 2.30509i | −0.260997 | + | 0.119193i | ||||
\(375\) | −0.100470 | + | 1.72913i | −0.00518827 | + | 0.0892921i | ||||
\(376\) | 0.767028 | + | 5.33480i | 0.0395565 | + | 0.275121i | ||||
\(377\) | 2.73760 | − | 9.32342i | 0.140994 | − | 0.480181i | ||||
\(378\) | −1.86002 | − | 16.6154i | −0.0956694 | − | 0.854603i | ||||
\(379\) | 7.50693 | − | 11.6810i | 0.385605 | − | 0.600014i | −0.593138 | − | 0.805100i | \(-0.702111\pi\) |
0.978744 | + | 0.205087i | \(0.0657477\pi\) | |||||||
\(380\) | 3.48817 | − | 5.42770i | 0.178939 | − | 0.278435i | ||||
\(381\) | 17.1927 | − | 1.46076i | 0.880808 | − | 0.0748370i | ||||
\(382\) | −1.07595 | + | 3.66436i | −0.0550506 | + | 0.187485i | ||||
\(383\) | 4.19607 | + | 29.1843i | 0.214409 | + | 1.49125i | 0.758196 | + | 0.652027i | \(0.226081\pi\) |
−0.543787 | + | 0.839223i | \(0.683010\pi\) | |||||||
\(384\) | 1.72913 | + | 0.100470i | 0.0882395 | + | 0.00512711i | ||||
\(385\) | 5.42118 | − | 2.47577i | 0.276289 | − | 0.126177i | ||||
\(386\) | −5.64103 | − | 19.2116i | −0.287121 | − | 0.977845i | ||||
\(387\) | −5.04244 | + | 11.8709i | −0.256321 | + | 0.603433i | ||||
\(388\) | −9.17824 | − | 1.31963i | −0.465955 | − | 0.0669942i | ||||
\(389\) | 3.94054 | − | 2.53243i | 0.199793 | − | 0.128399i | −0.436919 | − | 0.899501i | \(-0.643930\pi\) |
0.636712 | + | 0.771102i | \(0.280294\pi\) | |||||||
\(390\) | −4.22970 | + | 4.34426i | −0.214179 | + | 0.219980i | ||||
\(391\) | 14.3664 | − | 0.157741i | 0.726541 | − | 0.00797733i | ||||
\(392\) | 3.35298i | 0.169351i | ||||||||
\(393\) | −3.67880 | + | 18.0702i | −0.185571 | + | 0.911523i | ||||
\(394\) | −3.03935 | + | 21.1392i | −0.153120 | + | 1.06498i | ||||
\(395\) | −4.88418 | − | 2.23053i | −0.245750 | − | 0.112230i | ||||
\(396\) | −1.70739 | − | 5.28788i | −0.0857998 | − | 0.265726i | ||||
\(397\) | 1.61145 | + | 3.52859i | 0.0808766 | + | 0.177095i | 0.945750 | − | 0.324895i | \(-0.105329\pi\) |
−0.864874 | + | 0.501990i | \(0.832602\pi\) | |||||||
\(398\) | −10.6547 | − | 12.2962i | −0.534073 | − | 0.616353i | ||||
\(399\) | 21.1617 | − | 29.0703i | 1.05941 | − | 1.45533i | ||||
\(400\) | −0.959493 | − | 0.281733i | −0.0479746 | − | 0.0140866i | ||||
\(401\) | −21.6275 | + | 24.9594i | −1.08002 | + | 1.24642i | −0.112497 | + | 0.993652i | \(0.535885\pi\) |
−0.967528 | + | 0.252763i | \(0.918661\pi\) | |||||||
\(402\) | −2.59507 | − | 11.2063i | −0.129430 | − | 0.558922i | ||||
\(403\) | 0.833409 | + | 0.535600i | 0.0415151 | + | 0.0266801i | ||||
\(404\) | −7.12304 | − | 6.17215i | −0.354384 | − | 0.307076i | ||||
\(405\) | 8.75855 | + | 2.07069i | 0.435216 | + | 0.102894i | ||||
\(406\) | 8.84052 | − | 1.27108i | 0.438748 | − | 0.0630824i | ||||
\(407\) | 1.78449 | − | 1.54627i | 0.0884541 | − | 0.0766459i | ||||
\(408\) | 4.88549 | + | 1.74820i | 0.241868 | + | 0.0865490i | ||||
\(409\) | −3.62942 | + | 1.06569i | −0.179463 | + | 0.0526951i | −0.370229 | − | 0.928940i | \(-0.620721\pi\) |
0.190766 | + | 0.981635i | \(0.438903\pi\) | |||||||
\(410\) | 4.83754 | − | 10.5927i | 0.238909 | − | 0.523138i | ||||
\(411\) | −7.03316 | + | 5.41307i | −0.346920 | + | 0.267007i | ||||
\(412\) | −8.93699 | − | 13.9062i | −0.440294 | − | 0.685110i | ||||
\(413\) | 15.6967 | 0.772384 | ||||||||
\(414\) | −1.50933 | + | 14.3081i | −0.0741794 | + | 0.703205i | ||||
\(415\) | 11.6685 | 0.572784 | ||||||||
\(416\) | −1.89258 | − | 2.94491i | −0.0927913 | − | 0.144386i | ||||
\(417\) | 29.8631 | − | 22.9842i | 1.46240 | − | 1.12554i | ||||
\(418\) | 4.96439 | − | 10.8705i | 0.242816 | − | 0.531694i | ||||
\(419\) | −20.5903 | + | 6.04585i | −1.00590 | + | 0.295359i | −0.742875 | − | 0.669430i | \(-0.766539\pi\) |
−0.263025 | + | 0.964789i | \(0.584720\pi\) | |||||||
\(420\) | −5.24723 | − | 1.87765i | −0.256038 | − | 0.0916198i | ||||
\(421\) | −17.3805 | + | 15.0603i | −0.847075 | + | 0.733995i | −0.965899 | − | 0.258921i | \(-0.916633\pi\) |
0.118823 | + | 0.992915i | \(0.462088\pi\) | |||||||
\(422\) | −7.33768 | + | 1.05500i | −0.357192 | + | 0.0513565i | ||||
\(423\) | −15.6302 | − | 4.13919i | −0.759966 | − | 0.201255i | ||||
\(424\) | −4.74369 | − | 4.11043i | −0.230374 | − | 0.199620i | ||||
\(425\) | −2.52022 | − | 1.61964i | −0.122248 | − | 0.0785643i | ||||
\(426\) | −1.52812 | − | 6.59893i | −0.0740378 | − | 0.319719i | ||||
\(427\) | −18.6532 | + | 21.5269i | −0.902690 | + | 1.04176i | ||||
\(428\) | −8.45007 | − | 2.48117i | −0.408450 | − | 0.119932i | ||||
\(429\) | −6.60950 | + | 9.07963i | −0.319110 | + | 0.438369i | ||||
\(430\) | 2.81535 | + | 3.24909i | 0.135768 | + | 0.156685i | ||||
\(431\) | −1.23148 | − | 2.69657i | −0.0593184 | − | 0.129889i | 0.877651 | − | 0.479299i | \(-0.159109\pi\) |
−0.936970 | + | 0.349410i | \(0.886382\pi\) | |||||||
\(432\) | −2.30550 | + | 4.65668i | −0.110924 | + | 0.224045i | ||||
\(433\) | −2.50438 | − | 1.14371i | −0.120353 | − | 0.0549634i | 0.354328 | − | 0.935121i | \(-0.384709\pi\) |
−0.474682 | + | 0.880158i | \(0.657437\pi\) | |||||||
\(434\) | −0.129589 | + | 0.901314i | −0.00622049 | + | 0.0432644i | ||||
\(435\) | −0.959120 | + | 4.71119i | −0.0459863 | + | 0.225884i | ||||
\(436\) | − | 8.69087i | − | 0.416217i | ||||||
\(437\) | −23.1607 | + | 20.5184i | −1.10793 | + | 0.981529i | ||||
\(438\) | 6.40454 | − | 6.57801i | 0.306021 | − | 0.314310i | ||||
\(439\) | −16.1449 | + | 10.3757i | −0.770555 | + | 0.495205i | −0.865887 | − | 0.500240i | \(-0.833245\pi\) |
0.0953320 | + | 0.995446i | \(0.469609\pi\) | |||||||
\(440\) | −1.83338 | − | 0.263600i | −0.0874029 | − | 0.0125666i | ||||
\(441\) | −9.25832 | − | 3.93268i | −0.440872 | − | 0.187270i | ||||
\(442\) | −2.95456 | − | 10.0623i | −0.140534 | − | 0.478615i | ||||
\(443\) | −3.47705 | + | 1.58791i | −0.165199 | + | 0.0754441i | −0.496299 | − | 0.868152i | \(-0.665308\pi\) |
0.331099 | + | 0.943596i | \(0.392581\pi\) | |||||||
\(444\) | −2.20430 | − | 0.128080i | −0.104611 | − | 0.00607839i | ||||
\(445\) | 0.253774 | + | 1.76504i | 0.0120300 | + | 0.0836708i | ||||
\(446\) | 3.29450 | − | 11.2200i | 0.155999 | − | 0.531284i | ||||
\(447\) | −31.0741 | + | 2.64018i | −1.46975 | + | 0.124876i | ||||
\(448\) | 1.73957 | − | 2.70682i | 0.0821869 | − | 0.127885i | ||||
\(449\) | 15.1631 | − | 23.5942i | 0.715589 | − | 1.11348i | −0.272879 | − | 0.962048i | \(-0.587976\pi\) |
0.988468 | − | 0.151430i | \(-0.0483879\pi\) | |||||||
\(450\) | 1.90330 | − | 2.31893i | 0.0897226 | − | 0.109315i | ||||
\(451\) | 6.07680 | − | 20.6957i | 0.286145 | − | 0.974522i | ||||
\(452\) | 0.829744 | + | 5.77100i | 0.0390279 | + | 0.271445i | ||||
\(453\) | −1.97092 | + | 33.9203i | −0.0926019 | + | 1.59372i | ||||
\(454\) | 20.8210 | − | 9.50865i | 0.977179 | − | 0.446263i | ||||
\(455\) | 3.17333 | + | 10.8074i | 0.148768 | + | 0.506657i | ||||
\(456\) | −10.4173 | + | 4.04482i | −0.487837 | + | 0.189416i | ||||
\(457\) | 18.9753 | + | 2.72823i | 0.887626 | + | 0.127621i | 0.571021 | − | 0.820936i | \(-0.306548\pi\) |
0.316606 | + | 0.948557i | \(0.397457\pi\) | |||||||
\(458\) | −9.12798 | + | 5.86620i | −0.426523 | + | 0.274109i | ||||
\(459\) | −10.5573 | + | 11.4395i | −0.492773 | + | 0.533948i | ||||
\(460\) | 4.06273 | + | 2.54837i | 0.189426 | + | 0.118818i | ||||
\(461\) | − | 20.8925i | − | 0.973060i | −0.873664 | − | 0.486530i | \(-0.838262\pi\) | ||
0.873664 | − | 0.486530i | \(-0.161738\pi\) | |||||||
\(462\) | −10.1151 | − | 2.05927i | −0.470597 | − | 0.0958058i | ||||
\(463\) | −1.57042 | + | 10.9225i | −0.0729834 | + | 0.507611i | 0.920237 | + | 0.391362i | \(0.127996\pi\) |
−0.993220 | + | 0.116249i | \(0.962913\pi\) | |||||||
\(464\) | −2.52496 | − | 1.15311i | −0.117218 | − | 0.0535318i | ||||
\(465\) | −0.433312 | − | 0.229145i | −0.0200944 | − | 0.0106263i | ||||
\(466\) | −1.49822 | − | 3.28065i | −0.0694038 | − | 0.151973i | ||||
\(467\) | −11.0966 | − | 12.8062i | −0.513490 | − | 0.592599i | 0.438499 | − | 0.898732i | \(-0.355510\pi\) |
−0.951989 | + | 0.306133i | \(0.900965\pi\) | |||||||
\(468\) | 10.3513 | − | 1.77177i | 0.478490 | − | 0.0819002i | ||||
\(469\) | −20.5032 | − | 6.02028i | −0.946749 | − | 0.277990i | ||||
\(470\) | −3.52948 | + | 4.07323i | −0.162803 | + | 0.187884i | ||||
\(471\) | 22.5412 | − | 5.21989i | 1.03864 | − | 0.240520i | ||||
\(472\) | −4.10396 | − | 2.63745i | −0.188900 | − | 0.121399i | ||||
\(473\) | 6.01806 | + | 5.21468i | 0.276711 | + | 0.239771i | ||||
\(474\) | 4.56570 | + | 8.10220i | 0.209710 | + | 0.372146i | ||||
\(475\) | 6.38624 | − | 0.918203i | 0.293021 | − | 0.0421300i | ||||
\(476\) | 7.28486 | − | 6.31237i | 0.333901 | − | 0.289327i | ||||
\(477\) | 16.9136 | − | 8.27728i | 0.774421 | − | 0.378991i | ||||
\(478\) | 3.94767 | − | 1.15914i | 0.180562 | − | 0.0530178i | ||||
\(479\) | 3.00865 | − | 6.58802i | 0.137469 | − | 0.301014i | −0.828360 | − | 0.560196i | \(-0.810726\pi\) |
0.965828 | + | 0.259182i | \(0.0834530\pi\) | |||||||
\(480\) | 1.05641 | + | 1.37259i | 0.0482184 | + | 0.0626497i | ||||
\(481\) | 2.41266 | + | 3.75417i | 0.110008 | + | 0.171175i | ||||
\(482\) | −28.3758 | −1.29248 | ||||||||
\(483\) | 21.7799 | + | 15.4917i | 0.991020 | + | 0.704895i | ||||
\(484\) | 7.56924 | 0.344056 | ||||||||
\(485\) | −5.01316 | − | 7.80063i | −0.227636 | − | 0.354208i | ||||
\(486\) | −10.1540 | − | 11.8278i | −0.460595 | − | 0.536518i | ||||
\(487\) | −14.1895 | + | 31.0706i | −0.642986 | + | 1.40794i | 0.254576 | + | 0.967053i | \(0.418064\pi\) |
−0.897562 | + | 0.440889i | \(0.854663\pi\) | |||||||
\(488\) | 8.49400 | − | 2.49406i | 0.384506 | − | 0.112901i | ||||
\(489\) | 13.6064 | − | 38.0241i | 0.615302 | − | 1.71951i | ||||
\(490\) | −2.53402 | + | 2.19574i | −0.114475 | + | 0.0991933i | ||||
\(491\) | −30.4032 | + | 4.37133i | −1.37208 | + | 0.197275i | −0.788627 | − | 0.614872i | \(-0.789208\pi\) |
−0.583452 | + | 0.812147i | \(0.698299\pi\) | |||||||
\(492\) | −17.5720 | + | 9.90205i | −0.792205 | + | 0.446419i | ||||
\(493\) | −6.28459 | − | 5.44563i | −0.283044 | − | 0.245259i | ||||
\(494\) | 19.0003 | + | 12.2108i | 0.854864 | + | 0.549388i | ||||
\(495\) | 2.87821 | − | 4.75319i | 0.129366 | − | 0.213640i | ||||
\(496\) | 0.185326 | − | 0.213877i | 0.00832136 | − | 0.00960336i | ||||
\(497\) | −12.0734 | − | 3.54508i | −0.541567 | − | 0.159018i | ||||
\(498\) | −16.3396 | − | 11.8944i | −0.732197 | − | 0.533001i | ||||
\(499\) | −20.7977 | − | 24.0018i | −0.931034 | − | 1.07447i | −0.997058 | − | 0.0766519i | \(-0.975577\pi\) |
0.0660244 | − | 0.997818i | \(-0.478968\pi\) | |||||||
\(500\) | −0.415415 | − | 0.909632i | −0.0185779 | − | 0.0406800i | ||||
\(501\) | 5.73733 | − | 10.8493i | 0.256325 | − | 0.484710i | ||||
\(502\) | 21.8398 | + | 9.97389i | 0.974757 | + | 0.445156i | ||||
\(503\) | 3.09338 | − | 21.5149i | 0.137927 | − | 0.959302i | −0.796878 | − | 0.604140i | \(-0.793517\pi\) |
0.934805 | − | 0.355162i | \(-0.115574\pi\) | |||||||
\(504\) | 5.43381 | + | 7.97813i | 0.242041 | + | 0.355374i | ||||
\(505\) | − | 9.42513i | − | 0.419413i | ||||||
\(506\) | 8.12028 | + | 3.60119i | 0.360991 | + | 0.160092i | ||||
\(507\) | 0.925358 | + | 0.900956i | 0.0410966 | + | 0.0400128i | ||||
\(508\) | −8.38053 | + | 5.38584i | −0.371826 | + | 0.238958i | ||||
\(509\) | −6.55957 | − | 0.943123i | −0.290748 | − | 0.0418032i | −0.00460223 | − | 0.999989i | \(-0.501465\pi\) |
−0.286145 | + | 0.958186i | \(0.592374\pi\) | |||||||
\(510\) | 1.87811 | + | 4.83703i | 0.0831641 | + | 0.214188i | ||||
\(511\) | −4.80500 | − | 16.3643i | −0.212561 | − | 0.723915i | ||||
\(512\) | −0.909632 | + | 0.415415i | −0.0402004 | + | 0.0183589i | ||||
\(513\) | 1.04976 | − | 33.5087i | 0.0463482 | − | 1.47944i | ||||
\(514\) | 3.61634 | + | 25.1522i | 0.159510 | + | 1.10942i | ||||
\(515\) | 4.65714 | − | 15.8608i | 0.205218 | − | 0.698909i | ||||
\(516\) | −0.630402 | − | 7.41963i | −0.0277519 | − | 0.326631i | ||||
\(517\) | −5.39716 | + | 8.39815i | −0.237367 | + | 0.369350i | ||||
\(518\) | −2.21760 | + | 3.45066i | −0.0974358 | + | 0.151613i | ||||
\(519\) | 1.51897 | + | 17.8778i | 0.0666756 | + | 0.784750i | ||||
\(520\) | 0.986239 | − | 3.35882i | 0.0432494 | − | 0.147294i | ||||
\(521\) | −6.11680 | − | 42.5433i | −0.267982 | − | 1.86386i | −0.467543 | − | 0.883970i | \(-0.654861\pi\) |
0.199561 | − | 0.979885i | \(-0.436048\pi\) | |||||||
\(522\) | 6.14548 | − | 5.61949i | 0.268981 | − | 0.245958i | ||||
\(523\) | 21.7057 | − | 9.91265i | 0.949123 | − | 0.433450i | 0.120161 | − | 0.992754i | \(-0.461659\pi\) |
0.828962 | + | 0.559304i | \(0.188932\pi\) | |||||||
\(524\) | −2.99957 | − | 10.2156i | −0.131037 | − | 0.446270i | ||||
\(525\) | −2.01717 | − | 5.19519i | −0.0880366 | − | 0.226737i | ||||
\(526\) | 5.81090 | + | 0.835481i | 0.253367 | + | 0.0364287i | ||||
\(527\) | 0.713221 | − | 0.458359i | 0.0310684 | − | 0.0199664i | ||||
\(528\) | 2.29862 | + | 2.23800i | 0.100034 | + | 0.0973965i | ||||
\(529\) | −15.4398 | − | 17.0473i | −0.671297 | − | 0.741189i | ||||
\(530\) | − | 6.27680i | − | 0.272647i | ||||||
\(531\) | 12.0961 | − | 8.23848i | 0.524925 | − | 0.357520i | ||||
\(532\) | −2.95441 | + | 20.5484i | −0.128090 | + | 0.890886i | ||||
\(533\) | 37.0812 | + | 16.9344i | 1.60616 | + | 0.733511i | ||||
\(534\) | 1.44385 | − | 2.73031i | 0.0624813 | − | 0.118152i | ||||
\(535\) | −3.65848 | − | 8.01096i | −0.158170 | − | 0.346344i | ||||
\(536\) | 4.34906 | + | 5.01908i | 0.187851 | + | 0.216791i | ||||
\(537\) | −25.7213 | − | 18.7238i | −1.10996 | − | 0.807990i | ||||
\(538\) | 8.63236 | + | 2.53469i | 0.372167 | + | 0.109278i | ||||
\(539\) | −4.06701 | + | 4.69358i | −0.175179 | + | 0.202167i | ||||
\(540\) | −5.02907 | + | 1.30709i | −0.216417 | + | 0.0562483i | ||||
\(541\) | 3.29222 | + | 2.11578i | 0.141544 | + | 0.0909646i | 0.609496 | − | 0.792789i | \(-0.291372\pi\) |
−0.467952 | + | 0.883754i | \(0.655008\pi\) | |||||||
\(542\) | 20.4793 | + | 17.7454i | 0.879661 | + | 0.762230i | ||||
\(543\) | −25.8535 | + | 14.5688i | −1.10948 | + | 0.625207i | ||||
\(544\) | −2.96529 | + | 0.426345i | −0.127136 | + | 0.0182794i | ||||
\(545\) | 6.56812 | − | 5.69131i | 0.281347 | − | 0.243789i | ||||
\(546\) | 6.57293 | − | 18.3686i | 0.281295 | − | 0.786101i | ||||
\(547\) | 28.3335 | − | 8.31947i | 1.21145 | − | 0.355715i | 0.387232 | − | 0.921982i | \(-0.373431\pi\) |
0.824221 | + | 0.566268i | \(0.191613\pi\) | |||||||
\(548\) | 2.12859 | − | 4.66097i | 0.0909290 | − | 0.199107i | ||||
\(549\) | −3.07587 | + | 26.3791i | −0.131275 | + | 1.12583i | ||||
\(550\) | −1.00139 | − | 1.55820i | −0.0426995 | − | 0.0664417i | ||||
\(551\) | 17.9092 | 0.762959 | ||||||||
\(552\) | −3.09143 | − | 7.70993i | −0.131580 | − | 0.328157i | ||||
\(553\) | 17.2766 | 0.734676 | ||||||||
\(554\) | 8.83659 | + | 13.7500i | 0.375431 | + | 0.584181i | ||||
\(555\) | −1.34671 | − | 1.74977i | −0.0571648 | − | 0.0742737i | ||||
\(556\) | −9.03811 | + | 19.7907i | −0.383301 | + | 0.839313i | ||||
\(557\) | −25.8082 | + | 7.57797i | −1.09353 | + | 0.321089i | −0.778278 | − | 0.627920i | \(-0.783907\pi\) |
−0.315250 | + | 0.949009i | \(0.602088\pi\) | |||||||
\(558\) | 0.373195 | + | 0.762579i | 0.0157986 | + | 0.0322825i | ||||
\(559\) | −11.3738 | + | 9.85547i | −0.481061 | + | 0.416842i | ||||
\(560\) | 3.18485 | − | 0.457913i | 0.134585 | − | 0.0193504i | ||||
\(561\) | 4.71833 | + | 8.37305i | 0.199208 | + | 0.353510i | ||||
\(562\) | −13.5695 | − | 11.7581i | −0.572396 | − | 0.495984i | ||||
\(563\) | −36.9815 | − | 23.7665i | −1.55858 | − | 1.00164i | −0.982937 | − | 0.183941i | \(-0.941114\pi\) |
−0.575646 | − | 0.817699i | \(-0.695249\pi\) | |||||||
\(564\) | 9.09450 | − | 2.10602i | 0.382947 | − | 0.0886796i | ||||
\(565\) | −3.81806 | + | 4.40628i | −0.160627 | + | 0.185373i | ||||
\(566\) | 14.2871 | + | 4.19508i | 0.600533 | + | 0.176332i | ||||
\(567\) | −28.4026 | + | 5.64647i | −1.19280 | + | 0.237129i | ||||
\(568\) | 2.56097 | + | 2.95552i | 0.107456 | + | 0.124011i | ||||
\(569\) | 6.18389 | + | 13.5408i | 0.259242 | + | 0.567661i | 0.993838 | − | 0.110844i | \(-0.0353554\pi\) |
−0.734596 | + | 0.678505i | \(0.762628\pi\) | |||||||
\(570\) | −9.87878 | − | 5.22411i | −0.413776 | − | 0.218814i | ||||
\(571\) | 26.9649 | + | 12.3145i | 1.12845 | + | 0.515344i | 0.890068 | − | 0.455828i | \(-0.150657\pi\) |
0.238379 | + | 0.971172i | \(0.423384\pi\) | |||||||
\(572\) | 0.922764 | − | 6.41796i | 0.0385827 | − | 0.268349i | ||||
\(573\) | 6.48184 | + | 1.31960i | 0.270783 | + | 0.0551269i | ||||
\(574\) | 37.4693i | 1.56394i | ||||||||
\(575\) | 0.734595 | + | 4.73924i | 0.0306347 | + | 0.197640i | ||||
\(576\) | −0.0801545 | − | 2.99893i | −0.00333977 | − | 0.124955i | ||||
\(577\) | −38.2047 | + | 24.5527i | −1.59048 | + | 1.02214i | −0.618890 | + | 0.785477i | \(0.712418\pi\) |
−0.971592 | + | 0.236663i | \(0.923946\pi\) | |||||||
\(578\) | 7.94358 | + | 1.14211i | 0.330409 | + | 0.0475057i | ||||
\(579\) | −32.3288 | + | 12.5526i | −1.34354 | + | 0.521666i | ||||
\(580\) | −0.782034 | − | 2.66336i | −0.0324722 | − | 0.110590i | ||||
\(581\) | −34.1518 | + | 15.5966i | −1.41685 | + | 0.647055i | ||||
\(582\) | −0.931624 | + | 16.0336i | −0.0386170 | + | 0.664615i | ||||
\(583\) | −1.65456 | − | 11.5077i | −0.0685250 | − | 0.476602i | ||||
\(584\) | −1.49335 | + | 5.08587i | −0.0617951 | + | 0.210455i | ||||
\(585\) | 8.11769 | + | 6.66275i | 0.335625 | + | 0.275471i | ||||
\(586\) | 4.13623 | − | 6.43610i | 0.170866 | − | 0.265873i | ||||
\(587\) | 23.3269 | − | 36.2974i | 0.962804 | − | 1.49815i | 0.0985288 | − | 0.995134i | \(-0.468586\pi\) |
0.864276 | − | 0.503019i | \(-0.167777\pi\) | |||||||
\(588\) | 5.78669 | − | 0.491661i | 0.238639 | − | 0.0202757i | ||||
\(589\) | −0.514413 | + | 1.75193i | −0.0211960 | + | 0.0721870i | ||||
\(590\) | −0.694266 | − | 4.82873i | −0.0285825 | − | 0.198796i | ||||
\(591\) | 36.9284 | + | 2.14570i | 1.51903 | + | 0.0882623i | ||||
\(592\) | 1.15960 | − | 0.529571i | 0.0476592 | − | 0.0217652i | ||||
\(593\) | 2.04630 | + | 6.96905i | 0.0840313 | + | 0.286184i | 0.990779 | − | 0.135490i | \(-0.0432608\pi\) |
−0.906747 | + | 0.421674i | \(0.861443\pi\) | |||||||
\(594\) | −8.87563 | + | 3.72206i | −0.364172 | + | 0.152718i | ||||
\(595\) | 9.54114 | + | 1.37181i | 0.391149 | + | 0.0562387i | ||||
\(596\) | 15.1470 | − | 9.73438i | 0.620445 | − | 0.398736i | ||||
\(597\) | −19.6588 | + | 20.1913i | −0.804583 | + | 0.826375i | ||||
\(598\) | −8.92088 | + | 14.2221i | −0.364802 | + | 0.581585i | ||||
\(599\) | − | 27.6259i | − | 1.12876i | −0.825514 | − | 0.564381i | \(-0.809115\pi\) | ||
0.825514 | − | 0.564381i | \(-0.190885\pi\) | |||||||
\(600\) | −0.345529 | + | 1.69724i | −0.0141062 | + | 0.0692894i | ||||
\(601\) | −2.35312 | + | 16.3663i | −0.0959857 | + | 0.667595i | 0.883847 | + | 0.467776i | \(0.154945\pi\) |
−0.979833 | + | 0.199819i | \(0.935965\pi\) | |||||||
\(602\) | −12.5829 | − | 5.74643i | −0.512842 | − | 0.234207i | ||||
\(603\) | −18.9598 | + | 6.12188i | −0.772101 | + | 0.249302i | ||||
\(604\) | −8.14917 | − | 17.8442i | −0.331585 | − | 0.726070i | ||||
\(605\) | 4.95680 | + | 5.72045i | 0.201522 | + | 0.232569i | ||||
\(606\) | −9.60762 | + | 13.1982i | −0.390283 | + | 0.536141i | ||||
\(607\) | −22.4737 | − | 6.59887i | −0.912179 | − | 0.267840i | −0.208221 | − | 0.978082i | \(-0.566767\pi\) |
−0.703958 | + | 0.710242i | \(0.748585\pi\) | |||||||
\(608\) | 4.22510 | − | 4.87603i | 0.171351 | − | 0.197749i | ||||
\(609\) | −3.48998 | − | 15.0709i | −0.141421 | − | 0.610703i | ||||
\(610\) | 7.44728 | + | 4.78608i | 0.301532 | + | 0.193783i | ||||
\(611\) | −14.2588 | − | 12.3554i | −0.576851 | − | 0.499844i | ||||
\(612\) | 2.30073 | − | 8.68788i | 0.0930014 | − | 0.351187i | ||||
\(613\) | −18.4769 | + | 2.65657i | −0.746273 | + | 0.107298i | −0.504952 | − | 0.863147i | \(-0.668490\pi\) |
−0.241321 | + | 0.970445i | \(0.577581\pi\) | |||||||
\(614\) | 20.1118 | − | 17.4269i | 0.811645 | − | 0.703294i | ||||
\(615\) | −18.9907 | − | 6.79554i | −0.765777 | − | 0.274023i | ||||
\(616\) | 5.71834 | − | 1.67906i | 0.230398 | − | 0.0676511i | ||||
\(617\) | 3.85720 | − | 8.44608i | 0.155285 | − | 0.340026i | −0.815960 | − | 0.578108i | \(-0.803791\pi\) |
0.971245 | + | 0.238081i | \(0.0765185\pi\) | |||||||
\(618\) | −22.6893 | + | 17.4629i | −0.912699 | + | 0.702459i | ||||
\(619\) | −15.2782 | − | 23.7734i | −0.614084 | − | 0.955534i | −0.999463 | − | 0.0327750i | \(-0.989566\pi\) |
0.385379 | − | 0.922759i | \(-0.374071\pi\) | |||||||
\(620\) | 0.283000 | 0.0113656 | ||||||||
\(621\) | 24.9147 | + | 0.506795i | 0.999793 | + | 0.0203370i | ||||
\(622\) | 4.27707 | 0.171495 | ||||||||
\(623\) | −3.10198 | − | 4.82677i | −0.124278 | − | 0.193380i | ||||
\(624\) | −4.80491 | + | 3.69810i | −0.192350 | + | 0.148042i | ||||
\(625\) | 0.415415 | − | 0.909632i | 0.0166166 | − | 0.0363853i | ||||
\(626\) | −5.83958 | + | 1.71466i | −0.233397 | + | 0.0685315i | ||||
\(627\) | −19.4886 | − | 6.97373i | −0.778300 | − | 0.278504i | ||||
\(628\) | −10.0957 | + | 8.74798i | −0.402863 | + | 0.349082i | ||||
\(629\) | 3.78016 | − | 0.543504i | 0.150725 | − | 0.0216709i | ||||
\(630\) | −2.47108 | + | 9.33116i | −0.0984503 | + | 0.371762i | ||||
\(631\) | 33.5801 | + | 29.0973i | 1.33680 | + | 1.15834i | 0.974018 | + | 0.226471i | \(0.0727190\pi\) |
0.362783 | + | 0.931873i | \(0.381826\pi\) | |||||||
\(632\) | −4.51703 | − | 2.90292i | −0.179678 | − | 0.115472i | ||||
\(633\) | 2.89670 | + | 12.5089i | 0.115134 | + | 0.497184i | ||||
\(634\) | 6.90455 | − | 7.96827i | 0.274215 | − | 0.316461i | ||||
\(635\) | −9.55843 | − | 2.80661i | −0.379315 | − | 0.111377i | ||||
\(636\) | −6.39833 | + | 8.78954i | −0.253710 | + | 0.348528i | ||||
\(637\) | −7.68644 | − | 8.87063i | −0.304548 | − | 0.351467i | ||||
\(638\) | −2.13583 | − | 4.67681i | −0.0845582 | − | 0.185157i | ||||
\(639\) | −11.1646 | + | 3.60491i | −0.441664 | + | 0.142608i | ||||
\(640\) | −0.909632 | − | 0.415415i | −0.0359564 | − | 0.0164207i | ||||
\(641\) | 1.55617 | − | 10.8234i | 0.0614648 | − | 0.427497i | −0.935734 | − | 0.352706i | \(-0.885262\pi\) |
0.997199 | − | 0.0747917i | \(-0.0238292\pi\) | |||||||
\(642\) | −3.04301 | + | 14.9472i | −0.120098 | + | 0.589920i | ||||
\(643\) | − | 36.3973i | − | 1.43537i | −0.696369 | − | 0.717684i | \(-0.745202\pi\) | ||
0.696369 | − | 0.717684i | \(-0.254798\pi\) | |||||||
\(644\) | −15.2972 | − | 2.02824i | −0.602795 | − | 0.0799240i | ||||
\(645\) | 5.19455 | − | 5.33525i | 0.204535 | − | 0.210075i | ||||
\(646\) | 16.2602 | − | 10.4498i | 0.639750 | − | 0.411142i | ||||
\(647\) | 6.01170 | + | 0.864351i | 0.236344 | + | 0.0339812i | 0.259469 | − | 0.965751i | \(-0.416452\pi\) |
−0.0231249 | + | 0.999733i | \(0.507362\pi\) | |||||||
\(648\) | 8.37471 | + | 3.29609i | 0.328990 | + | 0.129483i | ||||
\(649\) | −2.54571 | − | 8.66988i | −0.0999277 | − | 0.340322i | ||||
\(650\) | 3.18428 | − | 1.45421i | 0.124898 | − | 0.0570388i | ||||
\(651\) | 1.57452 | + | 0.0914865i | 0.0617103 | + | 0.00358564i | ||||
\(652\) | 3.31827 | + | 23.0791i | 0.129954 | + | 0.903847i | ||||
\(653\) | −1.77051 | + | 6.02981i | −0.0692855 | + | 0.235965i | −0.986854 | − | 0.161612i | \(-0.948331\pi\) |
0.917569 | + | 0.397577i | \(0.130149\pi\) | |||||||
\(654\) | −14.9990 | + | 1.27438i | −0.586507 | + | 0.0498320i | ||||
\(655\) | 5.75613 | − | 8.95671i | 0.224910 | − | 0.349968i | ||||
\(656\) | 6.29581 | − | 9.79647i | 0.245810 | − | 0.382488i | ||||
\(657\) | −12.2917 | − | 10.0886i | −0.479544 | − | 0.393594i | ||||
\(658\) | 4.88575 | − | 16.6393i | 0.190466 | − | 0.648669i | ||||
\(659\) | −5.50163 | − | 38.2647i | −0.214313 | − | 1.49058i | −0.758531 | − | 0.651636i | \(-0.774083\pi\) |
0.544218 | − | 0.838944i | \(-0.316826\pi\) | |||||||
\(660\) | −0.186094 | + | 3.20276i | −0.00724371 | + | 0.124667i | ||||
\(661\) | −29.9231 | + | 13.6654i | −1.16387 | + | 0.531524i | −0.901218 | − | 0.433366i | \(-0.857326\pi\) |
−0.262657 | + | 0.964889i | \(0.584599\pi\) | |||||||
\(662\) | 5.68543 | + | 19.3628i | 0.220970 | + | 0.752556i | ||||
\(663\) | −16.9326 | + | 6.57455i | −0.657609 | + | 0.255334i | ||||
\(664\) | 11.5497 | + | 1.66060i | 0.448216 | + | 0.0644437i | ||||
\(665\) | −17.4642 | + | 11.2235i | −0.677232 | + | 0.435230i | ||||
\(666\) | 0.102181 | + | 3.82303i | 0.00395943 | + | 0.148140i | ||||
\(667\) | 0.146158 | + | 13.3115i | 0.00565927 | + | 0.515422i | ||||
\(668\) | 7.08575i | 0.274156i | ||||||||
\(669\) | −19.8470 | − | 4.04052i | −0.767329 | − | 0.156216i | ||||
\(670\) | −0.945141 | + | 6.57360i | −0.0365140 | + | 0.253960i | ||||
\(671\) | 14.9153 | + | 6.81159i | 0.575798 | + | 0.262958i | ||||
\(672\) | −4.92660 | − | 2.60529i | −0.190048 | − | 0.100501i | ||||
\(673\) | −0.408509 | − | 0.894510i | −0.0157469 | − | 0.0344808i | 0.901595 | − | 0.432581i | \(-0.142397\pi\) |
−0.917342 | + | 0.398100i | \(0.869670\pi\) | |||||||
\(674\) | 4.34274 | + | 5.01178i | 0.167276 | + | 0.193047i | ||||
\(675\) | −4.28117 | − | 2.94475i | −0.164782 | − | 0.113344i | ||||
\(676\) | −0.715452 | − | 0.210076i | −0.0275174 | − | 0.00807983i | ||||
\(677\) | −25.5626 | + | 29.5008i | −0.982451 | + | 1.13381i | 0.00855155 | + | 0.999963i | \(0.497278\pi\) |
−0.991002 | + | 0.133845i | \(0.957268\pi\) | |||||||
\(678\) | 9.83810 | − | 2.27822i | 0.377830 | − | 0.0874946i | ||||
\(679\) | 25.0993 | + | 16.1304i | 0.963224 | + | 0.619027i | ||||
\(680\) | −2.26406 | − | 1.96182i | −0.0868229 | − | 0.0752325i | ||||
\(681\) | −19.4634 | − | 34.5393i | −0.745839 | − | 1.32355i | ||||
\(682\) | 0.518846 | − | 0.0745988i | 0.0198676 | − | 0.00285654i | ||||
\(683\) | 11.9537 | − | 10.3580i | 0.457396 | − | 0.396336i | −0.395459 | − | 0.918484i | \(-0.629414\pi\) |
0.852855 | + | 0.522148i | \(0.174869\pi\) | |||||||
\(684\) | 8.50821 | + | 17.3855i | 0.325320 | + | 0.664751i | ||||
\(685\) | 4.91646 | − | 1.44360i | 0.187848 | − | 0.0551572i | ||||
\(686\) | −4.87475 | + | 10.6742i | −0.186119 | + | 0.407544i | ||||
\(687\) | 11.4625 | + | 14.8932i | 0.437323 | + | 0.568211i | ||||
\(688\) | 2.32430 | + | 3.61668i | 0.0886131 | + | 0.137885i | ||||
\(689\) | 21.9727 | 0.837092 | ||||||||
\(690\) | 3.80233 | − | 7.38528i | 0.144752 | − | 0.281153i | ||||
\(691\) | −27.8791 | −1.06057 | −0.530285 | − | 0.847819i | \(-0.677915\pi\) | ||||
−0.530285 | + | 0.847819i | \(0.677915\pi\) | |||||||
\(692\) | −5.60048 | − | 8.71452i | −0.212898 | − | 0.331276i | ||||
\(693\) | −2.07074 | + | 17.7589i | −0.0786608 | + | 0.674606i | ||||
\(694\) | −6.67804 | + | 14.6229i | −0.253495 | + | 0.555077i | ||||
\(695\) | −20.8755 | + | 6.12960i | −0.791853 | + | 0.232509i | ||||
\(696\) | −1.61983 | + | 4.52674i | −0.0613995 | + | 0.171586i | ||||
\(697\) | 26.3652 | − | 22.8456i | 0.998654 | − | 0.865339i | ||||
\(698\) | −24.7138 | + | 3.55330i | −0.935430 | + | 0.134494i | ||||
\(699\) | −5.44216 | + | 3.06674i | −0.205841 | + | 0.115995i | ||||
\(700\) | 2.43170 | + | 2.10708i | 0.0919098 | + | 0.0796403i | ||||
\(701\) | −1.53942 | − | 0.989324i | −0.0581430 | − | 0.0373663i | 0.511246 | − | 0.859434i | \(-0.329184\pi\) |
−0.569389 | + | 0.822068i | \(0.692820\pi\) | |||||||
\(702\) | −4.57563 | − | 17.6049i | −0.172696 | − | 0.664452i | ||||
\(703\) | −5.38616 | + | 6.21596i | −0.203143 | + | 0.234440i | ||||
\(704\) | −1.77720 | − | 0.521834i | −0.0669809 | − | 0.0196674i | ||||
\(705\) | 7.54726 | + | 5.49401i | 0.284246 | + | 0.206916i | ||||
\(706\) | 20.8387 | + | 24.0491i | 0.784274 | + | 0.905100i | ||||
\(707\) | 12.5980 | + | 27.5858i | 0.473797 | + | 1.03747i | ||||
\(708\) | −3.95002 | + | 7.46948i | −0.148451 | + | 0.280720i | ||||
\(709\) | 42.3102 | + | 19.3224i | 1.58899 | + | 0.725669i | 0.996786 | − | 0.0801156i | \(-0.0255289\pi\) |
0.592208 | + | 0.805785i | \(0.298256\pi\) | |||||||
\(710\) | −0.556552 | + | 3.87091i | −0.0208870 | + | 0.145273i | ||||
\(711\) | 13.3136 | − | 9.06770i | 0.499297 | − | 0.340065i | ||||
\(712\) | 1.78319i | 0.0668278i | ||||||||
\(713\) | −1.30636 | − | 0.368052i | −0.0489237 | − | 0.0137837i | ||||
\(714\) | −11.9623 | − | 11.6469i | −0.447678 | − | 0.435872i | ||||
\(715\) | 5.45465 | − | 3.50549i | 0.203993 | − | 0.131098i | ||||
\(716\) | 18.1812 | + | 2.61406i | 0.679462 | + | 0.0976919i | ||||
\(717\) | −2.57934 | − | 6.64305i | −0.0963274 | − | 0.248089i | ||||
\(718\) | 8.84385 | + | 30.1194i | 0.330050 | + | 1.12405i | ||||
\(719\) | −35.5667 | + | 16.2428i | −1.32642 | + | 0.605754i | −0.947523 | − | 0.319687i | \(-0.896422\pi\) |
−0.378893 | + | 0.925441i | \(0.623695\pi\) | |||||||
\(720\) | 2.21395 | − | 2.02446i | 0.0825090 | − | 0.0754471i | ||||
\(721\) | 7.56946 | + | 52.6468i | 0.281902 | + | 1.96067i | ||||
\(722\) | −6.37482 | + | 21.7106i | −0.237246 | + | 0.807986i | ||||
\(723\) | 4.16085 | + | 48.9719i | 0.154744 | + | 1.82128i | ||||
\(724\) | 9.26297 | − | 14.4135i | 0.344255 | − | 0.535672i | ||||
\(725\) | 1.50071 | − | 2.33515i | 0.0557350 | − | 0.0867254i | ||||
\(726\) | −1.10991 | − | 13.0632i | −0.0411925 | − | 0.484822i | ||||
\(727\) | 2.64046 | − | 8.99258i | 0.0979292 | − | 0.333516i | −0.895926 | − | 0.444203i | \(-0.853487\pi\) |
0.993855 | + | 0.110687i | \(0.0353051\pi\) | |||||||
\(728\) | 1.60298 | + | 11.1490i | 0.0594104 | + | 0.413208i | ||||
\(729\) | −18.9238 | + | 19.2585i | −0.700883 | + | 0.713277i | ||||
\(730\) | −4.82158 | + | 2.20194i | −0.178455 | + | 0.0814975i | ||||
\(731\) | 3.62853 | + | 12.3577i | 0.134206 | + | 0.457064i | ||||
\(732\) | −5.54985 | − | 14.2935i | −0.205128 | − | 0.528304i | ||||
\(733\) | −44.7129 | − | 6.42874i | −1.65151 | − | 0.237451i | −0.747283 | − | 0.664506i | \(-0.768642\pi\) |
−0.904226 | + | 0.427055i | \(0.859551\pi\) | |||||||
\(734\) | −1.13080 | + | 0.726724i | −0.0417388 | + | 0.0268239i | ||||
\(735\) | 4.16105 | + | 4.05132i | 0.153483 | + | 0.149435i | ||||
\(736\) | 3.65871 | + | 3.10062i | 0.134862 | + | 0.114290i | ||||
\(737\) | 12.3010i | 0.453115i | ||||||||
\(738\) | 19.6659 | + | 28.8743i | 0.723913 | + | 1.06288i | ||||
\(739\) | −1.98415 | + | 13.8001i | −0.0729881 | + | 0.507644i | 0.920230 | + | 0.391378i | \(0.128002\pi\) |
−0.993218 | + | 0.116266i | \(0.962908\pi\) | |||||||
\(740\) | 1.15960 | + | 0.529571i | 0.0426277 | + | 0.0194674i | ||||
\(741\) | 18.2876 | − | 34.5818i | 0.671813 | − | 1.27040i | ||||
\(742\) | 8.38983 | + | 18.3712i | 0.308000 | + | 0.674426i | ||||
\(743\) | 10.4268 | + | 12.0331i | 0.382521 | + | 0.441453i | 0.914059 | − | 0.405582i | \(-0.132931\pi\) |
−0.531538 | + | 0.847035i | \(0.678386\pi\) | |||||||
\(744\) | −0.396291 | − | 0.288479i | −0.0145287 | − | 0.0105762i | ||||
\(745\) | 17.2759 | + | 5.07267i | 0.632941 | + | 0.185848i | ||||
\(746\) | 17.8466 | − | 20.5960i | 0.653409 | − | 0.754074i | ||||
\(747\) | −18.1318 | + | 29.9436i | −0.663408 | + | 1.09558i | ||||
\(748\) | −4.66802 | − | 2.99996i | −0.170680 | − | 0.109689i | ||||
\(749\) | 21.4156 | + | 18.5567i | 0.782507 | + | 0.678046i | ||||
\(750\) | −1.50896 | + | 0.850320i | −0.0550994 | + | 0.0310493i | ||||
\(751\) | −10.6831 | + | 1.53599i | −0.389831 | + | 0.0560492i | −0.334444 | − | 0.942416i | \(-0.608548\pi\) |
−0.0553871 | + | 0.998465i | \(0.517639\pi\) | |||||||
\(752\) | −4.07323 | + | 3.52948i | −0.148535 | + | 0.128707i | ||||
\(753\) | 14.0108 | − | 39.1543i | 0.510582 | − | 1.42686i | ||||
\(754\) | 9.32342 | − | 2.73760i | 0.339539 | − | 0.0996976i | ||||
\(755\) | 8.14917 | − | 17.8442i | 0.296579 | − | 0.649417i | ||||
\(756\) | 12.9721 | − | 10.5477i | 0.471792 | − | 0.383616i | ||||
\(757\) | −9.15386 | − | 14.2437i | −0.332703 | − | 0.517696i | 0.634089 | − | 0.773260i | \(-0.281375\pi\) |
−0.966792 | + | 0.255564i | \(0.917739\pi\) | |||||||
\(758\) | 13.8853 | 0.504335 | ||||||||
\(759\) | 5.02435 | − | 14.5423i | 0.182372 | − | 0.527852i | ||||
\(760\) | 6.45191 | 0.234036 | ||||||||
\(761\) | −20.0180 | − | 31.1486i | −0.725651 | − | 1.12914i | −0.986501 | − | 0.163756i | \(-0.947639\pi\) |
0.260849 | − | 0.965380i | \(-0.415997\pi\) | |||||||
\(762\) | 10.5239 | + | 13.6737i | 0.381242 | + | 0.495344i | ||||
\(763\) | −11.6166 | + | 25.4368i | −0.420548 | + | 0.920872i | ||||
\(764\) | −3.66436 | + | 1.07595i | −0.132572 | + | 0.0389266i | ||||
\(765\) | 8.07252 | − | 3.95058i | 0.291863 | − | 0.142833i | ||||
\(766\) | −22.2829 | + | 19.3082i | −0.805112 | + | 0.697634i | ||||
\(767\) | 16.9035 | − | 2.43036i | 0.610351 | − | 0.0877553i | ||||
\(768\) | 0.850320 | + | 1.50896i | 0.0306833 | + | 0.0544499i | ||||
\(769\) | −11.3795 | − | 9.86042i | −0.410357 | − | 0.355576i | 0.425087 | − | 0.905153i | \(-0.360244\pi\) |
−0.835443 | + | 0.549577i | \(0.814789\pi\) | |||||||
\(770\) | 5.01366 | + | 3.22208i | 0.180680 | + | 0.116116i | ||||
\(771\) | 42.8782 | − | 9.92937i | 1.54422 | − | 0.357597i | ||||
\(772\) | 13.1121 | − | 15.1321i | 0.471913 | − | 0.544617i | ||||
\(773\) | −36.8057 | − | 10.8071i | −1.32381 | − | 0.388706i | −0.457943 | − | 0.888981i | \(-0.651414\pi\) |
−0.865866 | + | 0.500276i | \(0.833232\pi\) | |||||||
\(774\) | −12.7126 | + | 2.17594i | −0.456945 | + | 0.0782124i | ||||
\(775\) | 0.185326 | + | 0.213877i | 0.00665709 | + | 0.00768269i | ||||
\(776\) | −3.85199 | − | 8.43467i | −0.138278 | − | 0.302787i | ||||
\(777\) | 6.28043 | + | 3.32123i | 0.225309 | + | 0.119148i | ||||
\(778\) | 4.26083 | + | 1.94586i | 0.152758 | + | 0.0697624i | ||||
\(779\) | −10.6926 | + | 74.3684i | −0.383101 | + | 2.66452i | ||||
\(780\) | −5.94138 | − | 1.20957i | −0.212735 | − | 0.0433094i | ||||
\(781\) | 7.24355i | 0.259194i | ||||||||
\(782\) | 7.89977 | + | 12.0005i | 0.282495 | + | 0.429138i | ||||
\(783\) | −10.5994 | − | 9.78207i | −0.378793 | − | 0.349583i | ||||
\(784\) | −2.82071 | + | 1.81276i | −0.100740 | + | 0.0647414i | ||||
\(785\) | −13.2226 | − | 1.90112i | −0.471934 | − | 0.0678538i | ||||
\(786\) | −17.1906 | + | 6.67470i | −0.613167 | + | 0.238079i | ||||
\(787\) | −13.7847 | − | 46.9464i | −0.491371 | − | 1.67346i | −0.715273 | − | 0.698845i | \(-0.753698\pi\) |
0.223902 | − | 0.974612i | \(-0.428121\pi\) | |||||||
\(788\) | −19.4266 | + | 8.87183i | −0.692044 | + | 0.316046i | ||||
\(789\) | 0.589827 | − | 10.1512i | 0.0209984 | − | 0.361391i | ||||
\(790\) | −0.764145 | − | 5.31475i | −0.0271871 | − | 0.189090i | ||||
\(791\) | 5.28523 | − | 17.9998i | 0.187921 | − | 0.640000i | ||||
\(792\) | 3.52536 | − | 4.29519i | 0.125268 | − | 0.152623i | ||||
\(793\) | −16.7542 | + | 26.0701i | −0.594960 | + | 0.925776i | ||||
\(794\) | −2.09722 | + | 3.26334i | −0.0744277 | + | 0.115812i | ||||
\(795\) | −10.8327 | + | 0.920390i | −0.384196 | + | 0.0326429i | ||||
\(796\) | 4.58385 | − | 15.6111i | 0.162470 | − | 0.553322i | ||||
\(797\) | −1.29442 | − | 9.00286i | −0.0458505 | − | 0.318898i | −0.999820 | − | 0.0189926i | \(-0.993954\pi\) |
0.953969 | − | 0.299905i | \(-0.0969550\pi\) | |||||||
\(798\) | 35.8963 | + | 2.08574i | 1.27072 | + | 0.0738342i | ||||
\(799\) | −14.6872 | + | 6.70740i | −0.519594 | + | 0.237291i | ||||
\(800\) | −0.281733 | − | 0.959493i | −0.00996075 | − | 0.0339232i | ||||
\(801\) | −4.92377 | − | 2.09148i | −0.173973 | − | 0.0738989i | ||||
\(802\) | −32.6899 | − | 4.70010i | −1.15432 | − | 0.165966i | ||||
\(803\) | −8.25934 | + | 5.30796i | −0.291466 | + | 0.187314i | ||||
\(804\) | 8.02438 | − | 8.24172i | 0.282998 | − | 0.290663i | ||||
\(805\) | −8.48470 | − | 12.8891i | −0.299046 | − | 0.454280i | ||||
\(806\) | 0.990675i | 0.0348951i | ||||||||
\(807\) | 3.10865 | − | 15.2697i | 0.109430 | − | 0.537518i | ||||
\(808\) | 1.34134 | − | 9.32920i | 0.0471880 | − | 0.328200i | ||||
\(809\) | 31.0522 | + | 14.1811i | 1.09174 | + | 0.498579i | 0.878170 | − | 0.478349i | \(-0.158765\pi\) |
0.213567 | + | 0.976929i | \(0.431492\pi\) | |||||||
\(810\) | 2.99325 | + | 8.48766i | 0.105172 | + | 0.298226i | ||||
\(811\) | −18.5619 | − | 40.6448i | −0.651795 | − | 1.42723i | −0.889974 | − | 0.456012i | \(-0.849278\pi\) |
0.238178 | − | 0.971221i | \(-0.423450\pi\) | |||||||
\(812\) | 5.84884 | + | 6.74993i | 0.205254 | + | 0.236876i | ||||
\(813\) | 27.6226 | − | 37.9459i | 0.968768 | − | 1.33082i | ||||
\(814\) | 2.26558 | + | 0.665234i | 0.0794085 | + | 0.0233164i | ||||
\(815\) | −15.2690 | + | 17.6214i | −0.534850 | + | 0.617250i | ||||
\(816\) | 1.17061 | + | 5.05508i | 0.0409796 | + | 0.176963i | ||||
\(817\) | −23.3345 | − | 14.9962i | −0.816371 | − | 0.524650i | ||||
\(818\) | −2.85873 | − | 2.47710i | −0.0999531 | − | 0.0866098i | ||||
\(819\) | −32.6649 | − | 8.65032i | −1.14140 | − | 0.302267i | ||||
\(820\) | 11.5266 | − | 1.65727i | 0.402525 | − | 0.0578743i | ||||
\(821\) | 32.5992 | − | 28.2474i | 1.13772 | − | 0.985840i | 0.137730 | − | 0.990470i | \(-0.456019\pi\) |
0.999989 | + | 0.00463021i | \(0.00147385\pi\) | |||||||
\(822\) | −8.35618 | − | 2.99014i | −0.291455 | − | 0.104293i | ||||
\(823\) | 24.6414 | − | 7.23536i | 0.858944 | − | 0.252209i | 0.177537 | − | 0.984114i | \(-0.443187\pi\) |
0.681406 | + | 0.731905i | \(0.261369\pi\) | |||||||
\(824\) | 6.86696 | − | 15.0365i | 0.239222 | − | 0.523823i | ||||
\(825\) | −2.54235 | + | 1.95672i | −0.0885132 | + | 0.0681242i | ||||
\(826\) | 8.48628 | + | 13.2049i | 0.295275 | + | 0.459458i | ||||
\(827\) | 20.0281 | 0.696446 | 0.348223 | − | 0.937412i | \(-0.386785\pi\) | ||||
0.348223 | + | 0.937412i | \(0.386785\pi\) | |||||||
\(828\) | −12.8527 | + | 6.46582i | −0.446664 | + | 0.224703i | ||||
\(829\) | −11.1816 | −0.388353 | −0.194177 | − | 0.980967i | \(-0.562203\pi\) | ||||
−0.194177 | + | 0.980967i | \(0.562203\pi\) | |||||||
\(830\) | 6.30846 | + | 9.81616i | 0.218970 | + | 0.340724i | ||||
\(831\) | 22.4345 | − | 17.2667i | 0.778243 | − | 0.598975i | ||||
\(832\) | 1.45421 | − | 3.18428i | 0.0504157 | − | 0.110395i | ||||
\(833\) | −9.63793 | + | 2.82995i | −0.333935 | + | 0.0980520i | ||||
\(834\) | 35.4807 | + | 12.6963i | 1.22860 | + | 0.439636i | ||||
\(835\) | −5.35506 | + | 4.64018i | −0.185319 | + | 0.160580i | ||||
\(836\) | 11.8288 | − | 1.70072i | 0.409108 | − | 0.0588208i | ||||
\(837\) | 1.26136 | − | 0.755892i | 0.0435990 | − | 0.0261275i | ||||
\(838\) | −16.2180 | − | 14.0530i | −0.560243 | − | 0.485453i | ||||
\(839\) | 14.0010 | + | 8.99791i | 0.483369 | + | 0.310642i | 0.759534 | − | 0.650468i | \(-0.225427\pi\) |
−0.276165 | + | 0.961110i | \(0.589064\pi\) | |||||||
\(840\) | −1.25729 | − | 5.42938i | −0.0433806 | − | 0.187331i | ||||
\(841\) | −13.9452 | + | 16.0936i | −0.480869 | + | 0.554953i | ||||
\(842\) | −22.0662 | − | 6.47921i | −0.760450 | − | 0.223288i | ||||
\(843\) | −18.3027 | + | 25.1429i | −0.630378 | + | 0.865966i | ||||
\(844\) | −4.85457 | − | 5.60247i | −0.167101 | − | 0.192845i | ||||
\(845\) | −0.309757 | − | 0.678272i | −0.0106560 | − | 0.0233333i | ||||
\(846\) | −4.96821 | − | 15.3868i | −0.170810 | − | 0.529008i | ||||
\(847\) | −22.1539 | − | 10.1174i | −0.761218 | − | 0.347636i | ||||
\(848\) | 0.893281 | − | 6.21291i | 0.0306754 | − | 0.213352i | ||||
\(849\) | 5.14503 | − | 25.2723i | 0.176577 | − | 0.867344i | ||||
\(850\) | − | 2.99579i | − | 0.102755i | ||||||
\(851\) | −4.66412 | − | 3.95267i | −0.159884 | − | 0.135496i | ||||
\(852\) | 4.72521 | − | 4.85319i | 0.161883 | − | 0.166267i | ||||
\(853\) | 9.57067 | − | 6.15070i | 0.327693 | − | 0.210596i | −0.366441 | − | 0.930441i | \(-0.619424\pi\) |
0.694134 | + | 0.719846i | \(0.255787\pi\) | |||||||
\(854\) | −28.1942 | − | 4.05372i | −0.964787 | − | 0.138715i | ||||
\(855\) | −7.56738 | + | 17.8151i | −0.258799 | + | 0.609265i | ||||
\(856\) | −2.48117 | − | 8.45007i | −0.0848045 | − | 0.288818i | ||||
\(857\) | −10.6268 | + | 4.85310i | −0.363005 | + | 0.165779i | −0.588564 | − | 0.808451i | \(-0.700306\pi\) |
0.225559 | + | 0.974229i | \(0.427579\pi\) | |||||||
\(858\) | −11.2116 | − | 0.651446i | −0.382759 | − | 0.0222400i | ||||
\(859\) | −0.567198 | − | 3.94495i | −0.0193525 | − | 0.134600i | 0.977855 | − | 0.209285i | \(-0.0671138\pi\) |
−0.997207 | + | 0.0746855i | \(0.976205\pi\) | |||||||
\(860\) | −1.21121 | + | 4.12501i | −0.0413020 | + | 0.140662i | ||||
\(861\) | 64.6657 | − | 5.49426i | 2.20380 | − | 0.187244i | ||||
\(862\) | 1.60271 | − | 2.49386i | 0.0545885 | − | 0.0849414i | ||||
\(863\) | −22.2822 | + | 34.6718i | −0.758494 | + | 1.18024i | 0.220307 | + | 0.975431i | \(0.429294\pi\) |
−0.978802 | + | 0.204810i | \(0.934342\pi\) | |||||||
\(864\) | −5.16390 | + | 0.578077i | −0.175679 | + | 0.0196666i | ||||
\(865\) | 2.91846 | − | 9.93936i | 0.0992306 | − | 0.337948i | ||||
\(866\) | −0.391819 | − | 2.72516i | −0.0133146 | − | 0.0926047i | ||||
\(867\) | 0.806301 | − | 13.8768i | 0.0273834 | − | 0.471280i | ||||
\(868\) | −0.828295 | + | 0.378269i | −0.0281142 | + | 0.0128393i | ||||
\(869\) | −2.80193 | − | 9.54251i | −0.0950491 | − | 0.323708i | ||||
\(870\) | −4.48184 | + | 1.74020i | −0.151949 | + | 0.0589982i | ||||
\(871\) | −23.0117 | − | 3.30858i | −0.779721 | − | 0.112107i | ||||
\(872\) | 7.31123 | − | 4.69864i | 0.247589 | − | 0.159116i | ||||
\(873\) | 27.8079 | − | 0.743242i | 0.941156 | − | 0.0251549i | ||||
\(874\) | −29.7828 | − | 8.39096i | −1.00742 | − | 0.283829i | ||||
\(875\) | 3.21761i | 0.108775i | ||||||||
\(876\) | 8.99633 | + | 1.83150i | 0.303958 | + | 0.0618808i | ||||
\(877\) | −6.83161 | + | 47.5149i | −0.230687 | + | 1.60446i | 0.464459 | + | 0.885595i | \(0.346249\pi\) |
−0.695146 | + | 0.718869i | \(0.744660\pi\) | |||||||
\(878\) | −17.4572 | − | 7.97244i | −0.589152 | − | 0.269057i | ||||
\(879\) | −11.7142 | − | 6.19470i | −0.395108 | − | 0.208942i | ||||
\(880\) | −0.769445 | − | 1.68485i | −0.0259380 | − | 0.0567963i | ||||
\(881\) | −8.69998 | − | 10.0403i | −0.293110 | − | 0.338267i | 0.590026 | − | 0.807384i | \(-0.299118\pi\) |
−0.883136 | + | 0.469118i | \(0.844572\pi\) | |||||||
\(882\) | −1.69705 | − | 9.91476i | −0.0571426 | − | 0.333847i | ||||
\(883\) | 10.5850 | + | 3.10803i | 0.356213 | + | 0.104593i | 0.454942 | − | 0.890521i | \(-0.349660\pi\) |
−0.0987300 | + | 0.995114i | \(0.531478\pi\) | |||||||
\(884\) | 6.86760 | − | 7.92563i | 0.230982 | − | 0.266568i | ||||
\(885\) | −8.23177 | + | 1.90624i | −0.276708 | + | 0.0640776i | ||||
\(886\) | −3.21567 | − | 2.06659i | −0.108033 | − | 0.0694283i | ||||
\(887\) | −20.6812 | − | 17.9204i | −0.694408 | − | 0.601708i | 0.234457 | − | 0.972127i | \(-0.424669\pi\) |
−0.928865 | + | 0.370418i | \(0.879214\pi\) | |||||||
\(888\) | −1.08399 | − | 1.92362i | −0.0363762 | − | 0.0645525i | ||||
\(889\) | 31.7274 | − | 4.56171i | 1.06410 | − | 0.152995i | ||||
\(890\) | −1.34764 | + | 1.16774i | −0.0451731 | + | 0.0391427i | ||||
\(891\) | 7.72512 | + | 14.7721i | 0.258801 | + | 0.494883i | ||||
\(892\) | 11.2200 | − | 3.29450i | 0.375675 | − | 0.110308i | ||||
\(893\) | 14.4455 | − | 31.6312i | 0.483400 | − | 1.05850i | ||||
\(894\) | −19.0210 | − | 24.7138i | −0.636156 | − | 0.826552i | ||||
\(895\) | 9.93056 | + | 15.4522i | 0.331942 | + | 0.516512i | ||||
\(896\) | 3.21761 | 0.107493 | ||||||||
\(897\) | 25.8531 | + | 13.3105i | 0.863208 | + | 0.444425i | ||||
\(898\) | 28.0465 | 0.935923 | ||||||||
\(899\) | 0.424701 | + | 0.660848i | 0.0141646 | + | 0.0220405i | ||||
\(900\) | 2.97981 | + | 0.347453i | 0.0993270 | + | 0.0115818i | ||||
\(901\) | 7.81144 | − | 17.1047i | 0.260237 | − | 0.569839i | ||||
\(902\) | 20.6957 | − | 6.07680i | 0.689091 | − | 0.202335i | ||||
\(903\) | −8.07230 | + | 22.5587i | −0.268629 | + | 0.750705i | ||||
\(904\) | −4.40628 | + | 3.81806i | −0.146551 | + | 0.126987i | ||||
\(905\) | 16.9589 | − | 2.43832i | 0.563734 | − | 0.0810526i | ||||
\(906\) | −29.6011 | + | 16.6807i | −0.983432 | + | 0.554178i | ||||
\(907\) | −14.1602 | − | 12.2699i | −0.470183 | − | 0.407416i | 0.387280 | − | 0.921962i | \(-0.373415\pi\) |
−0.857462 | + | 0.514547i | \(0.827960\pi\) | |||||||
\(908\) | 19.2559 | + | 12.3750i | 0.639029 | + | 0.410679i | ||||
\(909\) | 24.1867 | + | 14.6458i | 0.802223 | + | 0.485772i | ||||
\(910\) | −7.37610 | + | 8.51247i | −0.244515 | + | 0.282186i | ||||
\(911\) | −12.8971 | − | 3.78694i | −0.427301 | − | 0.125467i | 0.0610088 | − | 0.998137i | \(-0.480568\pi\) |
−0.488310 | + | 0.872670i | \(0.662386\pi\) | |||||||
\(912\) | −9.03476 | − | 6.57683i | −0.299171 | − | 0.217781i | ||||
\(913\) | 14.1533 | + | 16.3338i | 0.468407 | + | 0.540571i | ||||
\(914\) | 7.96368 | + | 17.4380i | 0.263415 | + | 0.576798i | ||||
\(915\) | 7.16794 | − | 13.5546i | 0.236965 | − | 0.448100i | ||||
\(916\) | −9.86992 | − | 4.50744i | −0.326111 | − | 0.148930i | ||||
\(917\) | −4.87533 | + | 33.9087i | −0.160998 | + | 1.11976i | ||||
\(918\) | −15.3312 | − | 2.69674i | −0.506005 | − | 0.0890056i | ||||
\(919\) | − | 38.5491i | − | 1.27162i | −0.771846 | − | 0.635809i | \(-0.780667\pi\) | ||
0.771846 | − | 0.635809i | \(-0.219333\pi\) | |||||||
\(920\) | 0.0526544 | + | 4.79554i | 0.00173597 | + | 0.158104i | ||||
\(921\) | −33.0250 | − | 32.1542i | −1.08821 | − | 1.05952i | ||||
\(922\) | 17.5759 | − | 11.2953i | 0.578831 | − | 0.371992i | ||||
\(923\) | −13.5506 | − | 1.94828i | −0.446023 | − | 0.0641284i | ||||
\(924\) | −3.73627 | − | 9.62269i | −0.122914 | − | 0.316563i | ||||
\(925\) | 0.359153 | + | 1.22316i | 0.0118089 | + | 0.0402173i | ||||
\(926\) | −10.0376 | + | 4.58402i | −0.329856 | + | 0.150640i | ||||
\(927\) | 33.4650 | + | 36.5974i | 1.09913 | + | 1.20202i | ||||
\(928\) | −0.395038 | − | 2.74755i | −0.0129677 | − | 0.0901927i | ||||
\(929\) | −13.0441 | + | 44.4241i | −0.427963 | + | 1.45751i | 0.410153 | + | 0.912017i | \(0.365475\pi\) |
−0.838116 | + | 0.545492i | \(0.816343\pi\) | |||||||
\(930\) | −0.0414973 | − | 0.488411i | −0.00136075 | − | 0.0160156i | ||||
\(931\) | 11.6958 | − | 18.1990i | 0.383313 | − | 0.596447i | ||||
\(932\) | 1.94986 | − | 3.03404i | 0.0638697 | − | 0.0993832i | ||||
\(933\) | −0.627162 | − | 7.38150i | −0.0205324 | − | 0.241659i | ||||
\(934\) | 4.77395 | − | 16.2586i | 0.156209 | − | 0.531997i | ||||
\(935\) | −0.789689 | − | 5.49241i | −0.0258256 | − | 0.179621i | ||||
\(936\) | 7.08686 | + | 7.75020i | 0.231641 | + | 0.253323i | ||||
\(937\) | −28.8785 | + | 13.1884i | −0.943420 | + | 0.430845i | −0.826904 | − | 0.562344i | \(-0.809900\pi\) |
−0.116516 | + | 0.993189i | \(0.537173\pi\) | |||||||
\(938\) | −6.02028 | − | 20.5032i | −0.196569 | − | 0.669452i | ||||
\(939\) | 3.81549 | + | 9.82672i | 0.124514 | + | 0.320683i | ||||
\(940\) | −5.33480 | − | 0.767028i | −0.174002 | − | 0.0250177i | ||||
\(941\) | −3.93328 | + | 2.52776i | −0.128221 | + | 0.0824028i | −0.603179 | − | 0.797606i | \(-0.706100\pi\) |
0.474958 | + | 0.880008i | \(0.342463\pi\) | |||||||
\(942\) | 16.5779 | + | 16.1408i | 0.540138 | + | 0.525894i | ||||
\(943\) | −55.3634 | − | 7.34058i | −1.80288 | − | 0.239042i | ||||
\(944\) | − | 4.87838i | − | 0.158778i | ||||||
\(945\) | 16.4664 | + | 2.89641i | 0.535651 | + | 0.0942203i | ||||
\(946\) | −1.13326 | + | 7.88198i | −0.0368454 | + | 0.256265i | ||||
\(947\) | −24.7668 | − | 11.3106i | −0.804812 | − | 0.367545i | −0.0298510 | − | 0.999554i | \(-0.509503\pi\) |
−0.774961 | + | 0.632009i | \(0.782231\pi\) | |||||||
\(948\) | −4.34760 | + | 8.22130i | −0.141203 | + | 0.267015i | ||||
\(949\) | −7.70816 | − | 16.8785i | −0.250217 | − | 0.547900i | ||||
\(950\) | 4.22510 | + | 4.87603i | 0.137081 | + | 0.158199i | ||||
\(951\) | −14.7643 | − | 10.7477i | −0.478767 | − | 0.348517i | ||||
\(952\) | 9.24880 | + | 2.71569i | 0.299755 | + | 0.0880161i | ||||
\(953\) | 11.9013 | − | 13.7348i | 0.385520 | − | 0.444914i | −0.529507 | − | 0.848305i | \(-0.677623\pi\) |
0.915028 | + | 0.403391i | \(0.132169\pi\) | |||||||
\(954\) | 16.1075 | + | 9.75360i | 0.521499 | + | 0.315784i | ||||
\(955\) | −3.21280 | − | 2.06474i | −0.103964 | − | 0.0668134i | ||||
\(956\) | 3.10940 | + | 2.69431i | 0.100565 | + | 0.0871403i | ||||
\(957\) | −7.75820 | + | 4.37186i | −0.250787 | + | 0.141322i | ||||
\(958\) | 7.16879 | − | 1.03072i | 0.231613 | − | 0.0333009i | ||||
\(959\) | −12.4601 | + | 10.7967i | −0.402357 | + | 0.348645i | ||||
\(960\) | −0.583554 | + | 1.63079i | −0.0188341 | + | 0.0526334i | ||||
\(961\) | 29.6674 | − | 8.71115i | 0.957014 | − | 0.281005i | ||||
\(962\) | −1.85383 | + | 4.05932i | −0.0597698 | + | 0.130878i | ||||
\(963\) | 26.2426 | + | 3.05996i | 0.845657 | + | 0.0986057i | ||||
\(964\) | −15.3411 | − | 23.8712i | −0.494104 | − | 0.768841i | ||||
\(965\) | 20.0227 | 0.644552 | ||||||||
\(966\) | −1.25732 | + | 26.6978i | −0.0404537 | + | 0.858989i | ||||
\(967\) | 2.96142 | 0.0952327 | 0.0476164 | − | 0.998866i | \(-0.484838\pi\) | ||||
0.0476164 | + | 0.998866i | \(0.484838\pi\) | |||||||
\(968\) | 4.09224 | + | 6.36765i | 0.131530 | + | 0.204664i | ||||
\(969\) | −20.4189 | − | 26.5301i | −0.655950 | − | 0.852270i | ||||
\(970\) | 3.85199 | − | 8.43467i | 0.123680 | − | 0.270821i | ||||
\(971\) | −8.19750 | + | 2.40700i | −0.263070 | + | 0.0772444i | −0.410608 | − | 0.911812i | \(-0.634683\pi\) |
0.147538 | + | 0.989056i | \(0.452865\pi\) | |||||||
\(972\) | 4.46048 | − | 14.9367i | 0.143070 | − | 0.479094i | ||||
\(973\) | 52.9061 | − | 45.8434i | 1.69609 | − | 1.46967i | ||||
\(974\) | −33.8096 | + | 4.86109i | −1.08333 | + | 0.155759i | ||||
\(975\) | −2.97665 | − | 5.28229i | −0.0953290 | − | 0.169169i | ||||
\(976\) | 6.69035 | + | 5.79722i | 0.214153 | + | 0.185564i | ||||
\(977\) | −6.16399 | − | 3.96136i | −0.197204 | − | 0.126735i | 0.438313 | − | 0.898823i | \(-0.355576\pi\) |
−0.635516 | + | 0.772088i | \(0.719213\pi\) | |||||||
\(978\) | 39.3441 | − | 9.11096i | 1.25808 | − | 0.291336i | ||||
\(979\) | −2.16292 | + | 2.49615i | −0.0691274 | + | 0.0797772i | ||||
\(980\) | −3.21716 | − | 0.944644i | −0.102769 | − | 0.0301756i | ||||
\(981\) | 4.39872 | + | 25.6989i | 0.140440 | + | 0.820502i | ||||
\(982\) | −20.1146 | − | 23.2135i | −0.641884 | − | 0.740773i | ||||
\(983\) | 16.5500 | + | 36.2394i | 0.527862 | + | 1.15586i | 0.966376 | + | 0.257132i | \(0.0827777\pi\) |
−0.438514 | + | 0.898724i | \(0.644495\pi\) | |||||||
\(984\) | −17.8303 | − | 9.42902i | −0.568408 | − | 0.300586i | ||||
\(985\) | −19.4266 | − | 8.87183i | −0.618983 | − | 0.282680i | ||||
\(986\) | 1.18345 | − | 8.23107i | 0.0376887 | − | 0.262131i | ||||
\(987\) | −29.4331 | − | 5.99210i | −0.936866 | − | 0.190730i | ||||
\(988\) | 22.5857i | 0.718547i | ||||||||
\(989\) | 10.9558 | − | 17.4663i | 0.348376 | − | 0.555397i | ||||
\(990\) | 5.55471 | − | 0.148465i | 0.176540 | − | 0.00471852i | ||||
\(991\) | 19.4656 | − | 12.5098i | 0.618346 | − | 0.397387i | −0.193633 | − | 0.981074i | \(-0.562027\pi\) |
0.811979 | + | 0.583687i | \(0.198391\pi\) | |||||||
\(992\) | 0.280119 | + | 0.0402751i | 0.00889380 | + | 0.00127874i | ||||
\(993\) | 32.5833 | − | 12.6513i | 1.03400 | − | 0.401478i | ||||
\(994\) | −3.54508 | − | 12.0734i | −0.112443 | − | 0.382946i | ||||
\(995\) | 14.7999 | − | 6.75889i | 0.469188 | − | 0.214271i | ||||
\(996\) | 1.17234 | − | 20.1764i | 0.0371469 | − | 0.639313i | ||||
\(997\) | −7.52761 | − | 52.3557i | −0.238402 | − | 1.65812i | −0.659945 | − | 0.751314i | \(-0.729421\pi\) |
0.421543 | − | 0.906808i | \(-0.361489\pi\) | |||||||
\(998\) | 8.94754 | − | 30.4725i | 0.283229 | − | 0.964591i | ||||
\(999\) | 6.58293 | − | 0.736933i | 0.208275 | − | 0.0233155i |
(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 | 690.2.q.a.11.15 | ✓ | 160 | |
3.2 | odd | 2 | 690.2.q.b.11.3 | yes | 160 | ||
23.21 | odd | 22 | 690.2.q.b.251.3 | yes | 160 | ||
69.44 | even | 22 | inner | 690.2.q.a.251.15 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.q.a.11.15 | ✓ | 160 | 1.1 | even | 1 | trivial | |
690.2.q.a.251.15 | yes | 160 | 69.44 | even | 22 | inner | |
690.2.q.b.11.3 | yes | 160 | 3.2 | odd | 2 | ||
690.2.q.b.251.3 | yes | 160 | 23.21 | odd | 22 |