Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [324,3,Mod(19,324)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(324, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 16]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("324.19");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 324 = 2^{2} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 324.j (of order \(18\), degree \(6\), not 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: | \(8.82836056527\) |
Analytic rank: | \(0\) |
Dimension: | \(204\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 108) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 199.31 | ||
Character | \(\chi\) | \(=\) | 324.199 |
Dual form | 324.3.j.a.127.31 |
$q$-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 \(\left(\mathbb{Z}/324\mathbb{Z}\right)^\times\).
\(n\) | \(163\) | \(245\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.93570 | − | 0.503058i | 0.967850 | − | 0.251529i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 3.49386 | − | 1.94754i | 0.873466 | − | 0.486885i | ||||
\(5\) | −3.67109 | + | 1.33617i | −0.734219 | + | 0.267234i | −0.681950 | − | 0.731399i | \(-0.738868\pi\) |
−0.0522694 | + | 0.998633i | \(0.516645\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.42790 | − | 0.428104i | 0.346843 | − | 0.0611577i | 0.00248686 | − | 0.999997i | \(-0.499208\pi\) |
0.344356 | + | 0.938839i | \(0.388097\pi\) | |||||||
\(8\) | 5.78335 | − | 5.52747i | 0.722918 | − | 0.690934i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −6.43396 | + | 4.43320i | −0.643396 | + | 0.443320i | ||||
\(11\) | 6.11759 | − | 16.8080i | 0.556145 | − | 1.52800i | −0.269038 | − | 0.963130i | \(-0.586706\pi\) |
0.825183 | − | 0.564866i | \(-0.191072\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 15.7646 | + | 13.2281i | 1.21266 | + | 1.01755i | 0.999175 | + | 0.0406014i | \(0.0129274\pi\) |
0.213490 | + | 0.976945i | \(0.431517\pi\) | |||||||
\(14\) | 4.48432 | − | 2.05006i | 0.320309 | − | 0.146433i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 8.41418 | − | 13.6089i | 0.525886 | − | 0.850555i | ||||
\(17\) | 11.4681 | − | 19.8634i | 0.674597 | − | 1.16844i | −0.301990 | − | 0.953311i | \(-0.597651\pi\) |
0.976587 | − | 0.215125i | \(-0.0690157\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 6.65039 | − | 3.83960i | 0.350020 | − | 0.202084i | −0.314674 | − | 0.949200i | \(-0.601895\pi\) |
0.664694 | + | 0.747116i | \(0.268562\pi\) | |||||||
\(20\) | −10.2241 | + | 11.8180i | −0.511203 | + | 0.590900i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 3.38644 | − | 35.6127i | 0.153929 | − | 1.61876i | ||||
\(23\) | −1.94638 | − | 0.343200i | −0.0846254 | − | 0.0149217i | 0.131175 | − | 0.991359i | \(-0.458125\pi\) |
−0.215801 | + | 0.976437i | \(0.569236\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −7.45952 | + | 6.25928i | −0.298381 | + | 0.250371i | ||||
\(26\) | 37.1701 | + | 17.6751i | 1.42962 | + | 0.679812i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 7.64900 | − | 6.22417i | 0.273179 | − | 0.222292i | ||||
\(29\) | −33.6153 | + | 28.2066i | −1.15915 | + | 0.972641i | −0.999893 | − | 0.0145960i | \(-0.995354\pi\) |
−0.159255 | + | 0.987237i | \(0.550909\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 20.3189 | + | 3.58277i | 0.655448 | + | 0.115573i | 0.491475 | − | 0.870892i | \(-0.336458\pi\) |
0.163973 | + | 0.986465i | \(0.447569\pi\) | |||||||
\(32\) | 9.44126 | − | 30.5755i | 0.295039 | − | 0.955485i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 12.2064 | − | 44.2187i | 0.359012 | − | 1.30055i | ||||
\(35\) | −8.34103 | + | 4.81570i | −0.238315 | + | 0.137591i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −15.3854 | + | 26.6483i | −0.415822 | + | 0.720225i | −0.995514 | − | 0.0946106i | \(-0.969839\pi\) |
0.579692 | + | 0.814835i | \(0.303173\pi\) | |||||||
\(38\) | 10.9416 | − | 10.7778i | 0.287937 | − | 0.283628i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −13.8456 | + | 28.0194i | −0.346139 | + | 0.700485i | ||||
\(41\) | 4.57109 | + | 3.83560i | 0.111490 | + | 0.0935512i | 0.696828 | − | 0.717238i | \(-0.254594\pi\) |
−0.585338 | + | 0.810789i | \(0.699038\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 10.9148 | − | 29.9881i | 0.253832 | − | 0.697399i | −0.745684 | − | 0.666300i | \(-0.767877\pi\) |
0.999516 | − | 0.0310988i | \(-0.00990066\pi\) | |||||||
\(44\) | −11.3601 | − | 70.6390i | −0.258184 | − | 1.60543i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −3.94026 | + | 0.314813i | −0.0856579 | + | 0.00684375i | ||||
\(47\) | −53.8769 | + | 9.49995i | −1.14632 | + | 0.202127i | −0.714367 | − | 0.699771i | \(-0.753285\pi\) |
−0.431950 | + | 0.901898i | \(0.642174\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −40.3335 | + | 14.6802i | −0.823133 | + | 0.299596i | ||||
\(50\) | −11.2906 | + | 15.8687i | −0.225812 | + | 0.317373i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 80.8418 | + | 15.5149i | 1.55465 | + | 0.298364i | ||||
\(53\) | −19.4599 | −0.367168 | −0.183584 | − | 0.983004i | \(-0.558770\pi\) | ||||
−0.183584 | + | 0.983004i | \(0.558770\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 69.8777i | 1.27050i | ||||||||
\(56\) | 11.6751 | − | 15.8960i | 0.208483 | − | 0.283857i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −50.8796 | + | 71.5100i | −0.877234 | + | 1.23293i | ||||
\(59\) | 19.2036 | + | 52.7614i | 0.325484 | + | 0.894261i | 0.989239 | + | 0.146310i | \(0.0467398\pi\) |
−0.663754 | + | 0.747951i | \(0.731038\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.78225 | − | 15.7789i | −0.0456107 | − | 0.258671i | 0.953473 | − | 0.301480i | \(-0.0974806\pi\) |
−0.999083 | + | 0.0428085i | \(0.986369\pi\) | |||||||
\(62\) | 41.1336 | − | 3.28642i | 0.663445 | − | 0.0530068i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 2.89417 | − | 63.9345i | 0.0452214 | − | 0.998977i | ||||
\(65\) | −75.5485 | − | 27.4974i | −1.16228 | − | 0.423037i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.41276 | − | 1.68366i | 0.0210859 | − | 0.0251292i | −0.755398 | − | 0.655266i | \(-0.772557\pi\) |
0.776484 | + | 0.630137i | \(0.217001\pi\) | |||||||
\(68\) | 1.38337 | − | 91.7347i | 0.0203436 | − | 1.34904i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −13.7232 | + | 13.5178i | −0.196045 | + | 0.193111i | ||||
\(71\) | 86.0838 | + | 49.7005i | 1.21245 | + | 0.700007i | 0.963292 | − | 0.268456i | \(-0.0865134\pi\) |
0.249156 | + | 0.968463i | \(0.419847\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 31.8044 | + | 55.0868i | 0.435676 | + | 0.754614i | 0.997351 | − | 0.0727449i | \(-0.0231759\pi\) |
−0.561674 | + | 0.827358i | \(0.689843\pi\) | |||||||
\(74\) | −16.3759 | + | 59.3229i | −0.221296 | + | 0.801661i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 15.7578 | − | 26.3669i | 0.207339 | − | 0.346933i | ||||
\(77\) | 7.65735 | − | 43.4270i | 0.0994461 | − | 0.563987i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −12.9960 | − | 15.4880i | −0.164506 | − | 0.196051i | 0.677494 | − | 0.735529i | \(-0.263066\pi\) |
−0.842000 | + | 0.539478i | \(0.818622\pi\) | |||||||
\(80\) | −12.7055 | + | 61.2023i | −0.158819 | + | 0.765028i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 10.7778 | + | 5.12504i | 0.131436 | + | 0.0625005i | ||||
\(83\) | −33.4876 | − | 39.9089i | −0.403465 | − | 0.480830i | 0.525608 | − | 0.850727i | \(-0.323838\pi\) |
−0.929073 | + | 0.369896i | \(0.879393\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −15.5598 | + | 88.2438i | −0.183056 | + | 1.03816i | ||||
\(86\) | 6.04197 | − | 63.5388i | 0.0702554 | − | 0.738823i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −57.5253 | − | 131.021i | −0.653696 | − | 1.48888i | ||||
\(89\) | 8.30808 | + | 14.3900i | 0.0933492 | + | 0.161686i | 0.908918 | − | 0.416974i | \(-0.136909\pi\) |
−0.815569 | + | 0.578659i | \(0.803576\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 43.9380 | + | 25.3676i | 0.482835 | + | 0.278765i | ||||
\(92\) | −7.46880 | + | 2.59157i | −0.0811826 | + | 0.0281692i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −99.5105 | + | 45.4923i | −1.05862 | + | 0.483960i | ||||
\(95\) | −19.2838 | + | 22.9816i | −0.202988 | + | 0.241911i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −120.060 | − | 43.6982i | −1.23773 | − | 0.450497i | −0.361492 | − | 0.932375i | \(-0.617733\pi\) |
−0.876238 | + | 0.481878i | \(0.839955\pi\) | |||||||
\(98\) | −70.6886 | + | 48.7066i | −0.721312 | + | 0.497006i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −13.8724 | + | 36.3968i | −0.138724 | + | 0.363968i | ||||
\(101\) | 19.5922 | + | 111.113i | 0.193982 | + | 1.10013i | 0.913861 | + | 0.406027i | \(0.133086\pi\) |
−0.719879 | + | 0.694100i | \(0.755803\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −47.3891 | − | 130.200i | −0.460088 | − | 1.26408i | −0.925419 | − | 0.378945i | \(-0.876287\pi\) |
0.465331 | − | 0.885137i | \(-0.345935\pi\) | |||||||
\(104\) | 164.290 | − | 10.6359i | 1.57971 | − | 0.102268i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −37.6685 | + | 9.78947i | −0.355364 | + | 0.0923535i | ||||
\(107\) | 151.616i | 1.41697i | 0.705724 | + | 0.708487i | \(0.250622\pi\) | ||||
−0.705724 | + | 0.708487i | \(0.749378\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 128.248 | 1.17659 | 0.588295 | − | 0.808646i | \(-0.299799\pi\) | ||||
0.588295 | + | 0.808646i | \(0.299799\pi\) | |||||||
\(110\) | 35.1526 | + | 135.262i | 0.319569 | + | 1.22966i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 14.6028 | − | 36.6431i | 0.130382 | − | 0.327171i | ||||
\(113\) | −135.610 | + | 49.3580i | −1.20009 | + | 0.436797i | −0.863255 | − | 0.504768i | \(-0.831578\pi\) |
−0.336833 | + | 0.941564i | \(0.609356\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 7.60393 | − | 1.34078i | 0.0661212 | − | 0.0116589i | ||||
\(116\) | −62.5139 | + | 164.017i | −0.538913 | + | 1.41394i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 63.7144 | + | 92.4697i | 0.539953 | + | 0.783641i | ||||
\(119\) | 19.3399 | − | 53.1359i | 0.162520 | − | 0.446520i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −152.391 | − | 127.871i | −1.25943 | − | 1.05679i | ||||
\(122\) | −13.3233 | − | 29.1437i | −0.109208 | − | 0.238882i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 77.9690 | − | 27.0541i | 0.628782 | − | 0.218178i | ||||
\(125\) | 67.8549 | − | 117.528i | 0.542839 | − | 0.940225i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −186.595 | + | 107.731i | −1.46925 | + | 0.848273i | −0.999406 | − | 0.0344751i | \(-0.989024\pi\) |
−0.469847 | + | 0.882748i | \(0.655691\pi\) | |||||||
\(128\) | −26.5606 | − | 125.214i | −0.207504 | − | 0.978234i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −160.072 | − | 15.2214i | −1.23132 | − | 0.117088i | ||||
\(131\) | −37.7245 | − | 6.65185i | −0.287974 | − | 0.0507775i | 0.0277954 | − | 0.999614i | \(-0.491151\pi\) |
−0.315769 | + | 0.948836i | \(0.602262\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 14.5027 | − | 12.1692i | 0.109043 | − | 0.0914980i | ||||
\(134\) | 1.88769 | − | 3.96975i | 0.0140873 | − | 0.0296250i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −43.4701 | − | 178.267i | −0.319633 | − | 1.31078i | ||||
\(137\) | −43.0492 | + | 36.1225i | −0.314227 | + | 0.263668i | −0.786237 | − | 0.617925i | \(-0.787973\pi\) |
0.472009 | + | 0.881594i | \(0.343529\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 233.131 | + | 41.1073i | 1.67720 | + | 0.295736i | 0.929643 | − | 0.368461i | \(-0.120115\pi\) |
0.747558 | + | 0.664196i | \(0.231226\pi\) | |||||||
\(140\) | −19.7637 | + | 33.0699i | −0.141169 | + | 0.236213i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 191.635 | + | 52.9001i | 1.34954 | + | 0.372536i | ||||
\(143\) | 318.779 | − | 184.047i | 2.22922 | − | 1.28704i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 85.7162 | − | 148.465i | 0.591146 | − | 1.02390i | ||||
\(146\) | 89.2756 | + | 90.6320i | 0.611477 | + | 0.620767i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1.85590 | + | 123.069i | −0.0125398 | + | 0.831550i | ||||
\(149\) | 25.6459 | + | 21.5194i | 0.172120 | + | 0.144426i | 0.724778 | − | 0.688982i | \(-0.241942\pi\) |
−0.552659 | + | 0.833408i | \(0.686387\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −12.5948 | + | 34.6040i | −0.0834093 | + | 0.229165i | −0.974385 | − | 0.224885i | \(-0.927799\pi\) |
0.890976 | + | 0.454051i | \(0.150021\pi\) | |||||||
\(152\) | 17.2382 | − | 58.9656i | 0.113409 | − | 0.387931i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −7.02398 | − | 87.9137i | −0.0456103 | − | 0.570868i | ||||
\(155\) | −79.3797 | + | 13.9968i | −0.512127 | + | 0.0903018i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 81.9630 | − | 29.8321i | 0.522057 | − | 0.190013i | −0.0675312 | − | 0.997717i | \(-0.521512\pi\) |
0.589588 | + | 0.807704i | \(0.299290\pi\) | |||||||
\(158\) | −32.9477 | − | 23.4424i | −0.208530 | − | 0.148370i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 6.19431 | + | 124.861i | 0.0387145 | + | 0.780380i | ||||
\(161\) | −4.87255 | −0.0302643 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 265.936i | 1.63151i | 0.578398 | + | 0.815755i | \(0.303678\pi\) | ||||
−0.578398 | + | 0.815755i | \(0.696322\pi\) | |||||||
\(164\) | 23.4408 | + | 4.49869i | 0.142931 | + | 0.0274310i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −84.8984 | − | 60.4055i | −0.511436 | − | 0.363888i | ||||
\(167\) | 5.34309 | + | 14.6800i | 0.0319945 | + | 0.0879042i | 0.954661 | − | 0.297694i | \(-0.0962174\pi\) |
−0.922667 | + | 0.385598i | \(0.873995\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 44.1947 | + | 250.640i | 0.261507 | + | 1.48308i | ||||
\(170\) | 14.2728 | + | 178.641i | 0.0839574 | + | 1.05083i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −20.2683 | − | 126.031i | −0.117839 | − | 0.732741i | ||||
\(173\) | 179.041 | + | 65.1656i | 1.03492 | + | 0.376680i | 0.802952 | − | 0.596044i | \(-0.203262\pi\) |
0.231967 | + | 0.972724i | \(0.425484\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −15.4313 | + | 18.3904i | −0.0881791 | + | 0.105088i | ||||
\(176\) | −177.263 | − | 224.679i | −1.00718 | − | 1.27658i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 23.3210 | + | 23.6753i | 0.131017 | + | 0.133007i | ||||
\(179\) | −235.124 | − | 135.749i | −1.31354 | − | 0.758374i | −0.330862 | − | 0.943679i | \(-0.607339\pi\) |
−0.982681 | + | 0.185305i | \(0.940673\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 6.50826 | + | 11.2726i | 0.0359573 | + | 0.0622798i | 0.883444 | − | 0.468537i | \(-0.155219\pi\) |
−0.847487 | + | 0.530817i | \(0.821885\pi\) | |||||||
\(182\) | 97.8121 | + | 27.0007i | 0.537429 | + | 0.148355i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −13.1536 | + | 8.77373i | −0.0714872 | + | 0.0476833i | ||||
\(185\) | 20.8747 | − | 118.386i | 0.112836 | − | 0.639924i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −263.706 | − | 314.272i | −1.41019 | − | 1.68060i | ||||
\(188\) | −169.737 | + | 138.119i | −0.902857 | + | 0.734675i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −25.7666 | + | 54.1863i | −0.135614 | + | 0.285191i | ||||
\(191\) | −189.368 | − | 225.680i | −0.991457 | − | 1.18157i | −0.983372 | − | 0.181605i | \(-0.941871\pi\) |
−0.00808536 | − | 0.999967i | \(-0.502574\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 44.6187 | − | 253.045i | 0.231185 | − | 1.31112i | −0.619316 | − | 0.785142i | \(-0.712590\pi\) |
0.850501 | − | 0.525974i | \(-0.176299\pi\) | |||||||
\(194\) | −254.382 | − | 24.1895i | −1.31125 | − | 0.124688i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −112.330 | + | 129.842i | −0.573110 | + | 0.662458i | ||||
\(197\) | 42.7613 | + | 74.0647i | 0.217062 | + | 0.375963i | 0.953909 | − | 0.300097i | \(-0.0970191\pi\) |
−0.736846 | + | 0.676060i | \(0.763686\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 15.8969 | + | 9.17807i | 0.0798839 | + | 0.0461210i | 0.539410 | − | 0.842043i | \(-0.318647\pi\) |
−0.459526 | + | 0.888164i | \(0.651981\pi\) | |||||||
\(200\) | −8.54300 | + | 77.4319i | −0.0427150 | + | 0.387159i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 93.8208 | + | 205.225i | 0.464460 | + | 1.01597i | ||||
\(203\) | −69.5393 | + | 82.8737i | −0.342558 | + | 0.408245i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −21.9059 | − | 7.97310i | −0.106858 | − | 0.0388932i | ||||
\(206\) | −157.229 | − | 228.189i | −0.763250 | − | 1.10772i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 312.666 | − | 103.235i | 1.50320 | − | 0.496324i | ||||
\(209\) | −23.8515 | − | 135.269i | −0.114122 | − | 0.647218i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −61.6793 | − | 169.463i | −0.292319 | − | 0.803140i | −0.995726 | − | 0.0923529i | \(-0.970561\pi\) |
0.703407 | − | 0.710787i | \(-0.251661\pi\) | |||||||
\(212\) | −67.9903 | + | 37.8990i | −0.320709 | + | 0.178769i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 76.2718 | + | 293.483i | 0.356410 | + | 1.37142i | ||||
\(215\) | 124.673i | 0.579876i | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 50.8660 | 0.234406 | ||||||||
\(218\) | 248.250 | − | 64.5164i | 1.13876 | − | 0.295947i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 136.090 | + | 244.143i | 0.618589 | + | 1.10974i | ||||
\(221\) | 443.546 | − | 161.438i | 2.00700 | − | 0.730487i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −51.7471 | + | 9.12442i | −0.232050 | + | 0.0409167i | −0.288464 | − | 0.957491i | \(-0.593144\pi\) |
0.0564138 | + | 0.998407i | \(0.482033\pi\) | |||||||
\(224\) | 9.83292 | − | 78.2762i | 0.0438970 | − | 0.349447i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −237.670 | + | 163.762i | −1.05164 | + | 0.724611i | ||||
\(227\) | 27.9881 | − | 76.8966i | 0.123295 | − | 0.338752i | −0.862654 | − | 0.505794i | \(-0.831200\pi\) |
0.985950 | + | 0.167043i | \(0.0534218\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 18.8776 | + | 15.8402i | 0.0824351 | + | 0.0691713i | 0.683074 | − | 0.730349i | \(-0.260643\pi\) |
−0.600639 | + | 0.799520i | \(0.705087\pi\) | |||||||
\(230\) | 14.0444 | − | 6.42057i | 0.0610628 | − | 0.0279155i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −38.4979 | + | 348.936i | −0.165939 | + | 1.50404i | ||||
\(233\) | 39.6338 | − | 68.6477i | 0.170102 | − | 0.294625i | −0.768353 | − | 0.640026i | \(-0.778924\pi\) |
0.938455 | + | 0.345401i | \(0.112257\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 185.094 | − | 106.864i | 0.787633 | − | 0.454740i | ||||
\(236\) | 169.850 | + | 146.941i | 0.719702 | + | 0.622633i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 10.7058 | − | 112.584i | 0.0449821 | − | 0.473043i | ||||
\(239\) | −144.601 | − | 25.4971i | −0.605027 | − | 0.106683i | −0.137261 | − | 0.990535i | \(-0.543830\pi\) |
−0.467766 | + | 0.883852i | \(0.654941\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 272.438 | − | 228.603i | 1.13045 | − | 0.948559i | 0.131364 | − | 0.991334i | \(-0.458064\pi\) |
0.999085 | + | 0.0427750i | \(0.0136199\pi\) | |||||||
\(242\) | −359.310 | − | 170.859i | −1.48475 | − | 0.706027i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −40.4509 | − | 49.7109i | −0.165783 | − | 0.203733i | ||||
\(245\) | 128.453 | − | 107.785i | 0.524298 | − | 0.439938i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 155.632 | + | 27.4421i | 0.630088 | + | 0.111101i | ||||
\(248\) | 137.315 | − | 91.5916i | 0.553688 | − | 0.369321i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 72.2231 | − | 261.634i | 0.288893 | − | 1.04654i | ||||
\(251\) | 206.394 | − | 119.161i | 0.822285 | − | 0.474747i | −0.0289186 | − | 0.999582i | \(-0.509206\pi\) |
0.851204 | + | 0.524835i | \(0.175873\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −17.6757 | + | 30.6152i | −0.0698643 | + | 0.121009i | ||||
\(254\) | −306.997 | + | 302.402i | −1.20865 | + | 1.19056i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −114.403 | − | 229.015i | −0.446887 | − | 0.894590i | ||||
\(257\) | 278.987 | + | 234.098i | 1.08555 | + | 0.910887i | 0.996370 | − | 0.0851281i | \(-0.0271300\pi\) |
0.0891830 | + | 0.996015i | \(0.471574\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −25.9460 | + | 71.2860i | −0.100178 | + | 0.275236i | ||||
\(260\) | −317.508 | + | 51.0615i | −1.22119 | + | 0.196390i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −76.3696 | + | 6.10166i | −0.291487 | + | 0.0232888i | ||||
\(263\) | 320.879 | − | 56.5796i | 1.22007 | − | 0.215131i | 0.473715 | − | 0.880678i | \(-0.342913\pi\) |
0.746356 | + | 0.665547i | \(0.231802\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 71.4392 | − | 26.0017i | 0.269582 | − | 0.0981198i | ||||
\(266\) | 21.9511 | − | 30.8517i | 0.0825228 | − | 0.115984i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 1.65699 | − | 8.63387i | 0.00618280 | − | 0.0322159i | ||||
\(269\) | −95.8215 | −0.356214 | −0.178107 | − | 0.984011i | \(-0.556997\pi\) | ||||
−0.178107 | + | 0.984011i | \(0.556997\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 494.220i | − | 1.82369i | −0.410537 | − | 0.911844i | \(-0.634659\pi\) | ||
0.410537 | − | 0.911844i | \(-0.365341\pi\) | |||||||
\(272\) | −173.824 | − | 323.203i | −0.639058 | − | 1.18825i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −65.1585 | + | 91.5786i | −0.237805 | + | 0.334229i | ||||
\(275\) | 59.5714 | + | 163.671i | 0.216623 | + | 0.595167i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 48.7599 | + | 276.531i | 0.176028 | + | 0.998307i | 0.936950 | + | 0.349463i | \(0.113636\pi\) |
−0.760922 | + | 0.648844i | \(0.775253\pi\) | |||||||
\(278\) | 471.951 | − | 37.7072i | 1.69767 | − | 0.135637i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −21.6204 | + | 73.9556i | −0.0772159 | + | 0.264127i | ||||
\(281\) | −106.961 | − | 38.9307i | −0.380645 | − | 0.138543i | 0.144609 | − | 0.989489i | \(-0.453808\pi\) |
−0.525254 | + | 0.850945i | \(0.676030\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 198.767 | − | 236.881i | 0.702356 | − | 0.837036i | −0.290435 | − | 0.956895i | \(-0.593800\pi\) |
0.992791 | + | 0.119859i | \(0.0382443\pi\) | |||||||
\(284\) | 397.559 | + | 5.99522i | 1.39986 | + | 0.0211099i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 524.474 | − | 516.625i | 1.83383 | − | 1.80638i | ||||
\(287\) | 12.7402 | + | 7.35555i | 0.0443909 | + | 0.0256291i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −118.537 | − | 205.311i | −0.410161 | − | 0.710420i | ||||
\(290\) | 91.2344 | − | 330.504i | 0.314601 | − | 1.13967i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 218.404 | + | 130.526i | 0.747959 | + | 0.447005i | ||||
\(293\) | −84.2825 | + | 477.990i | −0.287654 | + | 1.63136i | 0.407996 | + | 0.912984i | \(0.366228\pi\) |
−0.695650 | + | 0.718381i | \(0.744884\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −140.996 | − | 168.033i | −0.477953 | − | 0.569603i | ||||
\(296\) | 58.3186 | + | 239.159i | 0.197022 | + | 0.807969i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 60.4682 | + | 28.7538i | 0.202913 | + | 0.0964892i | ||||
\(299\) | −26.1442 | − | 31.1574i | −0.0874387 | − | 0.104205i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 13.6620 | − | 77.4809i | 0.0453886 | − | 0.257412i | ||||
\(302\) | −6.97196 | + | 73.3188i | −0.0230859 | + | 0.242777i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 3.70485 | − | 122.811i | 0.0121870 | − | 0.403985i | ||||
\(305\) | 31.2973 | + | 54.2084i | 0.102614 | + | 0.177733i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −70.4883 | − | 40.6964i | −0.229604 | − | 0.132562i | 0.380786 | − | 0.924663i | \(-0.375654\pi\) |
−0.610389 | + | 0.792102i | \(0.708987\pi\) | |||||||
\(308\) | −57.8220 | − | 166.641i | −0.187734 | − | 0.541042i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −146.614 | + | 67.0262i | −0.472949 | + | 0.216214i | ||||
\(311\) | −249.268 | + | 297.066i | −0.801505 | + | 0.955196i | −0.999688 | − | 0.0249688i | \(-0.992051\pi\) |
0.198183 | + | 0.980165i | \(0.436496\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −479.995 | − | 174.704i | −1.53353 | − | 0.558160i | −0.569048 | − | 0.822304i | \(-0.692688\pi\) |
−0.964483 | + | 0.264145i | \(0.914910\pi\) | |||||||
\(314\) | 143.648 | − | 98.9781i | 0.457479 | − | 0.315217i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −75.5697 | − | 28.8028i | −0.239145 | − | 0.0911481i | ||||
\(317\) | −31.1223 | − | 176.503i | −0.0981775 | − | 0.556792i | −0.993727 | − | 0.111831i | \(-0.964329\pi\) |
0.895550 | − | 0.444961i | \(-0.146783\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 268.450 | + | 737.561i | 0.841537 | + | 2.31210i | ||||
\(320\) | 74.8026 | + | 238.577i | 0.233758 | + | 0.745553i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −9.43179 | + | 2.45118i | −0.0292913 | + | 0.00761235i | ||||
\(323\) | − | 176.132i | − | 0.545302i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −200.395 | −0.616601 | ||||||||
\(326\) | 133.781 | + | 514.772i | 0.410372 | + | 1.57906i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 47.6374 | − | 3.08396i | 0.145236 | − | 0.00940232i | ||||
\(329\) | −126.741 | + | 46.1299i | −0.385230 | + | 0.140212i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −130.882 | + | 23.0781i | −0.395415 | + | 0.0697223i | −0.367820 | − | 0.929897i | \(-0.619896\pi\) |
−0.0275947 | + | 0.999619i | \(0.508785\pi\) | |||||||
\(332\) | −194.725 | − | 74.2180i | −0.586522 | − | 0.223548i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 17.7275 | + | 25.7282i | 0.0530764 | + | 0.0770305i | ||||
\(335\) | −2.93671 | + | 8.06855i | −0.00876630 | + | 0.0240852i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 236.956 | + | 198.829i | 0.703132 | + | 0.589998i | 0.922663 | − | 0.385608i | \(-0.126008\pi\) |
−0.219531 | + | 0.975606i | \(0.570453\pi\) | |||||||
\(338\) | 211.634 | + | 462.932i | 0.626137 | + | 1.36962i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 117.495 | + | 338.615i | 0.345572 | + | 0.995927i | ||||
\(341\) | 184.522 | − | 319.601i | 0.541119 | − | 0.937246i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −196.259 | + | 113.310i | −0.572184 | + | 0.330350i | ||||
\(344\) | −102.635 | − | 233.763i | −0.298356 | − | 0.679543i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 379.352 | + | 36.0729i | 1.09639 | + | 0.104257i | ||||
\(347\) | 182.964 | + | 32.2614i | 0.527273 | + | 0.0929724i | 0.430947 | − | 0.902377i | \(-0.358180\pi\) |
0.0963261 | + | 0.995350i | \(0.469291\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −53.3290 | + | 44.7483i | −0.152805 | + | 0.128219i | −0.715985 | − | 0.698115i | \(-0.754022\pi\) |
0.563180 | + | 0.826334i | \(0.309578\pi\) | |||||||
\(350\) | −20.6190 | + | 43.3611i | −0.0589115 | + | 0.123889i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −456.154 | − | 345.737i | −1.29589 | − | 0.982207i | ||||
\(353\) | −245.397 | + | 205.912i | −0.695175 | + | 0.583321i | −0.920396 | − | 0.390987i | \(-0.872134\pi\) |
0.225221 | + | 0.974308i | \(0.427689\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −382.430 | − | 67.4328i | −1.07727 | − | 0.189951i | ||||
\(356\) | 57.0524 | + | 34.0964i | 0.160260 | + | 0.0957765i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −523.419 | − | 144.488i | −1.46207 | − | 0.403598i | ||||
\(359\) | −117.892 | + | 68.0648i | −0.328389 | + | 0.189596i | −0.655126 | − | 0.755520i | \(-0.727384\pi\) |
0.326736 | + | 0.945115i | \(0.394051\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −151.015 | + | 261.565i | −0.418324 | + | 0.724558i | ||||
\(362\) | 18.2688 | + | 18.5464i | 0.0504664 | + | 0.0512332i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 202.918 | + | 3.06002i | 0.557466 | + | 0.00840664i | ||||
\(365\) | −190.362 | − | 159.733i | −0.521540 | − | 0.437624i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −109.598 | + | 301.117i | −0.298631 | + | 0.820482i | 0.696098 | + | 0.717947i | \(0.254918\pi\) |
−0.994729 | + | 0.102536i | \(0.967304\pi\) | |||||||
\(368\) | −21.0478 | + | 23.6004i | −0.0571951 | + | 0.0641314i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −19.1480 | − | 239.661i | −0.0517514 | − | 0.647732i | ||||
\(371\) | −47.2467 | + | 8.33087i | −0.127350 | + | 0.0224552i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 122.229 | − | 44.4878i | 0.327692 | − | 0.119270i | −0.172935 | − | 0.984933i | \(-0.555325\pi\) |
0.500627 | + | 0.865663i | \(0.333103\pi\) | |||||||
\(374\) | −668.552 | − | 475.677i | −1.78757 | − | 1.27186i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −259.078 | + | 352.744i | −0.689037 | + | 0.938150i | ||||
\(377\) | −903.053 | −2.39537 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 555.420i | 1.46549i | 0.680504 | + | 0.732745i | \(0.261761\pi\) | ||||
−0.680504 | + | 0.732745i | \(0.738239\pi\) | |||||||
\(380\) | −22.6176 | + | 117.851i | −0.0595199 | + | 0.310133i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −480.090 | − | 341.586i | −1.25678 | − | 0.894204i | ||||
\(383\) | −13.6389 | − | 37.4725i | −0.0356106 | − | 0.0978393i | 0.920613 | − | 0.390476i | \(-0.127690\pi\) |
−0.956224 | + | 0.292637i | \(0.905467\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 29.9150 | + | 169.656i | 0.0777012 | + | 0.440665i | ||||
\(386\) | −40.9282 | − | 512.266i | −0.106032 | − | 1.32711i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −504.577 | + | 81.1457i | −1.30046 | + | 0.209138i | ||||
\(389\) | −400.841 | − | 145.894i | −1.03044 | − | 0.375049i | −0.229191 | − | 0.973381i | \(-0.573608\pi\) |
−0.801248 | + | 0.598332i | \(0.795830\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −29.1385 | + | 34.7259i | −0.0745231 | + | 0.0888132i | ||||
\(392\) | −152.118 | + | 307.843i | −0.388057 | + | 0.785314i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 120.032 | + | 121.856i | 0.304650 | + | 0.309278i | ||||
\(395\) | 68.4041 | + | 39.4931i | 0.173175 | + | 0.0999825i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 189.792 | + | 328.730i | 0.478066 | + | 0.828035i | 0.999684 | − | 0.0251445i | \(-0.00800458\pi\) |
−0.521618 | + | 0.853179i | \(0.674671\pi\) | |||||||
\(398\) | 35.3887 | + | 9.76893i | 0.0889163 | + | 0.0245450i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 22.4161 | + | 154.182i | 0.0560402 | + | 0.385456i | ||||
\(401\) | −20.0090 | + | 113.477i | −0.0498977 | + | 0.282984i | −0.999539 | − | 0.0303545i | \(-0.990336\pi\) |
0.949641 | + | 0.313339i | \(0.101447\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 272.927 | + | 325.261i | 0.677237 | + | 0.807100i | ||||
\(404\) | 284.849 | + | 350.057i | 0.705072 | + | 0.866477i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −92.9168 | + | 195.401i | −0.228859 | + | 0.481283i | ||||
\(407\) | 353.782 | + | 421.621i | 0.869243 | + | 1.03592i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 37.7554 | − | 214.121i | 0.0923114 | − | 0.523524i | −0.903227 | − | 0.429164i | \(-0.858808\pi\) |
0.995538 | − | 0.0943603i | \(-0.0300806\pi\) | |||||||
\(410\) | −46.4142 | − | 4.41357i | −0.113205 | − | 0.0107648i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −419.142 | − | 362.611i | −1.01733 | − | 0.880123i | ||||
\(413\) | 69.2117 | + | 119.878i | 0.167583 | + | 0.290262i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 176.261 | + | 101.764i | 0.424726 | + | 0.245215i | ||||
\(416\) | 553.294 | − | 357.122i | 1.33003 | − | 0.858467i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −114.217 | − | 249.840i | −0.273247 | − | 0.597705i | ||||
\(419\) | 83.3828 | − | 99.3717i | 0.199004 | − | 0.237164i | −0.657309 | − | 0.753622i | \(-0.728305\pi\) |
0.856313 | + | 0.516458i | \(0.172750\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 94.8522 | + | 34.5234i | 0.225302 | + | 0.0820033i | 0.452205 | − | 0.891914i | \(-0.350638\pi\) |
−0.226903 | + | 0.973917i | \(0.572860\pi\) | |||||||
\(422\) | −204.642 | − | 297.000i | −0.484934 | − | 0.703792i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −112.543 | + | 107.564i | −0.265433 | + | 0.253689i | ||||
\(425\) | 38.7838 | + | 219.954i | 0.0912560 | + | 0.517539i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −13.5101 | − | 37.1186i | −0.0316395 | − | 0.0869288i | ||||
\(428\) | 295.279 | + | 529.726i | 0.689903 | + | 1.23768i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 62.7180 | + | 241.330i | 0.145856 | + | 0.561233i | ||||
\(431\) | 17.3757i | 0.0403148i | 0.999797 | + | 0.0201574i | \(0.00641674\pi\) | ||||
−0.999797 | + | 0.0201574i | \(0.993583\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −737.761 | −1.70384 | −0.851918 | − | 0.523676i | \(-0.824560\pi\) | ||||
−0.851918 | + | 0.523676i | \(0.824560\pi\) | |||||||
\(434\) | 98.4613 | − | 25.5886i | 0.226869 | − | 0.0589598i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 448.082 | − | 249.769i | 1.02771 | − | 0.572864i | ||||
\(437\) | −14.2620 | + | 5.19093i | −0.0326361 | + | 0.0118786i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 380.391 | − | 67.0733i | 0.866495 | − | 0.152786i | 0.277306 | − | 0.960782i | \(-0.410558\pi\) |
0.589189 | + | 0.807995i | \(0.299447\pi\) | |||||||
\(440\) | 386.247 | + | 404.127i | 0.877834 | + | 0.918471i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 777.360 | − | 535.625i | 1.75873 | − | 1.21182i | ||||
\(443\) | −71.4245 | + | 196.237i | −0.161229 | + | 0.442973i | −0.993832 | − | 0.110897i | \(-0.964628\pi\) |
0.832603 | + | 0.553871i | \(0.186850\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −49.7272 | − | 41.7261i | −0.111747 | − | 0.0937665i | ||||
\(446\) | −95.5768 | + | 43.6940i | −0.214298 | + | 0.0979685i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −20.3439 | − | 156.466i | −0.0454105 | − | 0.349254i | ||||
\(449\) | −181.887 | + | 315.038i | −0.405094 | + | 0.701644i | −0.994332 | − | 0.106316i | \(-0.966095\pi\) |
0.589238 | + | 0.807959i | \(0.299428\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 92.4327 | − | 53.3660i | 0.204950 | − | 0.118328i | ||||
\(452\) | −377.676 | + | 436.556i | −0.835567 | + | 0.965832i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 15.4930 | − | 162.928i | 0.0341256 | − | 0.358873i | ||||
\(455\) | −195.196 | − | 34.4183i | −0.429002 | − | 0.0756446i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 424.330 | − | 356.056i | 0.928513 | − | 0.779115i | −0.0470369 | − | 0.998893i | \(-0.514978\pi\) |
0.975550 | + | 0.219778i | \(0.0705334\pi\) | |||||||
\(458\) | 44.5100 | + | 21.1654i | 0.0971834 | + | 0.0462126i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 23.9559 | − | 19.4935i | 0.0520780 | − | 0.0423771i | ||||
\(461\) | 362.858 | − | 304.474i | 0.787110 | − | 0.660463i | −0.157919 | − | 0.987452i | \(-0.550478\pi\) |
0.945028 | + | 0.326989i | \(0.106034\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 37.9817 | + | 6.69720i | 0.0820339 | + | 0.0144648i | 0.214514 | − | 0.976721i | \(-0.431183\pi\) |
−0.132481 | + | 0.991186i | \(0.542294\pi\) | |||||||
\(464\) | 101.015 | + | 694.802i | 0.217705 | + | 1.49742i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 42.1853 | − | 152.819i | 0.0905263 | − | 0.327939i | ||||
\(467\) | −136.396 | + | 78.7483i | −0.292069 | + | 0.168626i | −0.638874 | − | 0.769311i | \(-0.720600\pi\) |
0.346806 | + | 0.937937i | \(0.387266\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 2.70925 | − | 4.69256i | 0.00577665 | − | 0.0100055i | ||||
\(470\) | 304.527 | − | 299.969i | 0.647930 | − | 0.638233i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 402.698 | + | 198.990i | 0.853173 | + | 0.421589i | ||||
\(473\) | −437.267 | − | 366.911i | −0.924455 | − | 0.775709i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −25.5755 | + | 70.2682i | −0.0538433 | + | 0.147933i | ||||
\(476\) | −35.9133 | − | 223.315i | −0.0754482 | − | 0.469149i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −292.732 | + | 23.3882i | −0.612409 | + | 0.0489292i | ||||
\(479\) | −457.399 | + | 80.6517i | −0.954903 | + | 0.168375i | −0.629327 | − | 0.777141i | \(-0.716669\pi\) |
−0.325576 | + | 0.945516i | \(0.605558\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −595.052 | + | 216.581i | −1.23712 | + | 0.450273i | ||||
\(482\) | 412.358 | − | 579.559i | 0.855514 | − | 1.20240i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −781.468 | − | 149.977i | −1.61460 | − | 0.309870i | ||||
\(485\) | 499.139 | 1.02915 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | − | 883.498i | − | 1.81416i | −0.420954 | − | 0.907082i | \(-0.638305\pi\) | ||
0.420954 | − | 0.907082i | \(-0.361695\pi\) | |||||||
\(488\) | −103.308 | − | 75.8763i | −0.211697 | − | 0.155484i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 194.424 | − | 273.258i | 0.396784 | − | 0.557670i | ||||
\(491\) | −166.771 | − | 458.199i | −0.339656 | − | 0.933196i | −0.985492 | − | 0.169720i | \(-0.945714\pi\) |
0.645837 | − | 0.763476i | \(-0.276509\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 174.774 | + | 991.192i | 0.354511 | + | 2.01053i | ||||
\(494\) | 315.061 | − | 25.1722i | 0.637775 | − | 0.0509559i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 219.724 | − | 246.371i | 0.442992 | − | 0.496716i | ||||
\(497\) | 230.280 | + | 83.8150i | 0.463340 | + | 0.168642i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −166.489 | + | 198.413i | −0.333644 | + | 0.397622i | −0.906618 | − | 0.421952i | \(-0.861345\pi\) |
0.572974 | + | 0.819574i | \(0.305790\pi\) | |||||||
\(500\) | 8.18512 | − | 542.777i | 0.0163702 | − | 1.08555i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 339.571 | − | 334.489i | 0.676436 | − | 0.666312i | ||||
\(503\) | −227.274 | − | 131.217i | −0.451837 | − | 0.260868i | 0.256769 | − | 0.966473i | \(-0.417342\pi\) |
−0.708606 | + | 0.705605i | \(0.750675\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −220.390 | − | 381.727i | −0.436416 | − | 0.755896i | ||||
\(506\) | −18.8136 | + | 68.1537i | −0.0371810 | + | 0.134691i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −442.128 | + | 739.798i | −0.870331 | + | 1.45629i | ||||
\(509\) | 11.4399 | − | 64.8787i | 0.0224752 | − | 0.127463i | −0.971506 | − | 0.237016i | \(-0.923831\pi\) |
0.993981 | + | 0.109553i | \(0.0349418\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 100.801 | + | 120.130i | 0.197262 | + | 0.235087i | ||||
\(512\) | −336.658 | − | 385.753i | −0.657535 | − | 0.753424i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 657.800 | + | 312.797i | 1.27977 | + | 0.608554i | ||||
\(515\) | 347.940 | + | 414.658i | 0.675611 | + | 0.805162i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −169.922 | + | 963.677i | −0.328670 | + | 1.86398i | ||||
\(518\) | −14.3626 | + | 151.041i | −0.0277270 | + | 0.291584i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −588.914 | + | 258.565i | −1.13253 | + | 0.497240i | ||||
\(521\) | −112.991 | − | 195.706i | −0.216874 | − | 0.375636i | 0.736977 | − | 0.675918i | \(-0.236253\pi\) |
−0.953851 | + | 0.300282i | \(0.902919\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −197.182 | − | 113.843i | −0.377021 | − | 0.217673i | 0.299501 | − | 0.954096i | \(-0.403180\pi\) |
−0.676521 | + | 0.736423i | \(0.736513\pi\) | |||||||
\(524\) | −144.759 | + | 50.2294i | −0.276258 | + | 0.0958575i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 592.662 | − | 270.942i | 1.12673 | − | 0.515098i | ||||
\(527\) | 304.186 | − | 362.514i | 0.577203 | − | 0.687883i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −493.427 | − | 179.593i | −0.932754 | − | 0.339495i | ||||
\(530\) | 125.204 | − | 86.2696i | 0.236235 | − | 0.162773i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 26.9705 | − | 70.7623i | 0.0506964 | − | 0.133012i | ||||
\(533\) | 21.3239 | + | 120.934i | 0.0400073 | + | 0.226893i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −202.585 | − | 556.597i | −0.378663 | − | 1.04037i | ||||
\(536\) | −1.13591 | − | 17.5461i | −0.00211923 | − | 0.0327353i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −185.482 | + | 48.2038i | −0.344761 | + | 0.0895981i | ||||
\(539\) | 767.731i | 1.42436i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 786.104 | 1.45306 | 0.726529 | − | 0.687136i | \(-0.241132\pi\) | ||||
0.726529 | + | 0.687136i | \(0.241132\pi\) | |||||||
\(542\) | −248.621 | − | 956.660i | −0.458711 | − | 1.76506i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −499.060 | − | 538.180i | −0.917390 | − | 0.989302i | ||||
\(545\) | −470.812 | + | 171.361i | −0.863875 | + | 0.314425i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 1054.07 | − | 185.862i | 1.92701 | − | 0.339783i | 0.927580 | − | 0.373624i | \(-0.121885\pi\) |
0.999427 | + | 0.0338407i | \(0.0107739\pi\) | |||||||
\(548\) | −80.0579 | + | 210.047i | −0.146091 | + | 0.383298i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 197.648 | + | 286.850i | 0.359361 | + | 0.521546i | ||||
\(551\) | −115.253 | + | 316.654i | −0.209170 | + | 0.574690i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −38.1834 | − | 32.0397i | −0.0690478 | − | 0.0579380i | ||||
\(554\) | 233.496 | + | 510.752i | 0.421472 | + | 0.921935i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 894.586 | − | 310.409i | 1.60897 | − | 0.558289i | ||||
\(557\) | −200.833 | + | 347.853i | −0.360562 | + | 0.624512i | −0.988053 | − | 0.154112i | \(-0.950748\pi\) |
0.627492 | + | 0.778623i | \(0.284082\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 568.754 | − | 328.370i | 1.01745 | − | 0.587425i | ||||
\(560\) | −4.64669 | + | 154.032i | −0.00829766 | + | 0.275058i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −226.629 | − | 21.5504i | −0.403255 | − | 0.0383459i | ||||
\(563\) | 768.923 | + | 135.582i | 1.36576 | + | 0.240820i | 0.808000 | − | 0.589182i | \(-0.200550\pi\) |
0.557760 | + | 0.830003i | \(0.311661\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 431.887 | − | 362.396i | 0.764401 | − | 0.641409i | ||||
\(566\) | 265.588 | − | 558.522i | 0.469236 | − | 0.986788i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 772.571 | − | 188.390i | 1.36016 | − | 0.331673i | ||||
\(569\) | −108.765 | + | 91.2651i | −0.191152 | + | 0.160396i | −0.733341 | − | 0.679861i | \(-0.762040\pi\) |
0.542189 | + | 0.840257i | \(0.317596\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −905.067 | − | 159.588i | −1.58506 | − | 0.279488i | −0.689449 | − | 0.724334i | \(-0.742147\pi\) |
−0.895607 | + | 0.444846i | \(0.853258\pi\) | |||||||
\(572\) | 755.332 | − | 1263.87i | 1.32051 | − | 2.20956i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 28.3614 | + | 7.82908i | 0.0494102 | + | 0.0136395i | ||||
\(575\) | 16.6673 | − | 9.62286i | 0.0289866 | − | 0.0167354i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 33.2353 | − | 57.5652i | 0.0576001 | − | 0.0997663i | −0.835788 | − | 0.549053i | \(-0.814988\pi\) |
0.893388 | + | 0.449287i | \(0.148322\pi\) | |||||||
\(578\) | −332.735 | − | 337.790i | −0.575666 | − | 0.584412i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 10.3397 | − | 685.652i | 0.0178270 | − | 1.18216i | ||||
\(581\) | −98.3896 | − | 82.5587i | −0.169345 | − | 0.142098i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −119.048 | + | 327.081i | −0.204199 | + | 0.561032i | ||||
\(584\) | 488.426 | + | 142.788i | 0.836346 | + | 0.244500i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 77.3112 | + | 967.644i | 0.131930 | + | 1.65127i | ||||
\(587\) | 522.614 | − | 92.1509i | 0.890313 | − | 0.156986i | 0.290262 | − | 0.956947i | \(-0.406258\pi\) |
0.600052 | + | 0.799961i | \(0.295147\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 148.885 | − | 54.1896i | 0.252776 | − | 0.0920028i | ||||
\(590\) | −357.457 | − | 254.332i | −0.605859 | − | 0.431071i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 233.198 | + | 433.602i | 0.393916 | + | 0.732436i | ||||
\(593\) | 307.107 | 0.517887 | 0.258944 | − | 0.965892i | \(-0.416626\pi\) | ||||
0.258944 | + | 0.965892i | \(0.416626\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 220.908i | 0.371275i | ||||||||
\(596\) | 131.513 | + | 25.2396i | 0.220660 | + | 0.0423484i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −66.2812 | − | 47.1593i | −0.110838 | − | 0.0788617i | ||||
\(599\) | −89.0609 | − | 244.693i | −0.148683 | − | 0.408502i | 0.842885 | − | 0.538094i | \(-0.180856\pi\) |
−0.991567 | + | 0.129592i | \(0.958633\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −76.4196 | − | 433.397i | −0.127154 | − | 0.721126i | −0.980005 | − | 0.198972i | \(-0.936240\pi\) |
0.852851 | − | 0.522154i | \(-0.174871\pi\) | |||||||
\(602\) | −12.5319 | − | 156.852i | −0.0208172 | − | 0.260552i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 23.3880 | + | 145.430i | 0.0387219 | + | 0.240779i | ||||
\(605\) | 730.299 | + | 265.807i | 1.20711 | + | 0.439351i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 485.664 | − | 578.791i | 0.800105 | − | 0.953528i | −0.199548 | − | 0.979888i | \(-0.563947\pi\) |
0.999653 | + | 0.0263602i | \(0.00839169\pi\) | |||||||
\(608\) | −54.6098 | − | 239.590i | −0.0898188 | − | 0.394062i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 87.8521 | + | 89.1869i | 0.144020 | + | 0.146208i | ||||
\(611\) | −975.017 | − | 562.926i | −1.59577 | − | 0.921319i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 204.218 | + | 353.715i | 0.333145 | + | 0.577024i | 0.983127 | − | 0.182926i | \(-0.0585569\pi\) |
−0.649982 | + | 0.759950i | \(0.725224\pi\) | |||||||
\(614\) | −156.917 | − | 43.3163i | −0.255565 | − | 0.0705478i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −195.756 | − | 293.479i | −0.317786 | − | 0.476427i | ||||
\(617\) | 158.965 | − | 901.535i | 0.257642 | − | 1.46116i | −0.531558 | − | 0.847022i | \(-0.678393\pi\) |
0.789200 | − | 0.614136i | \(-0.210496\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −364.506 | − | 434.402i | −0.588863 | − | 0.701780i | 0.386524 | − | 0.922279i | \(-0.373676\pi\) |
−0.975387 | + | 0.220499i | \(0.929231\pi\) | |||||||
\(620\) | −250.083 | + | 203.498i | −0.403359 | + | 0.328223i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −333.066 | + | 700.427i | −0.535476 | + | 1.12609i | ||||
\(623\) | 26.3316 | + | 31.3808i | 0.0422658 | + | 0.0503704i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −49.7908 | + | 282.378i | −0.0796653 | + | 0.451805i | ||||
\(626\) | −1017.01 | − | 96.7087i | −1.62462 | − | 0.154487i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 228.268 | − | 263.855i | 0.363485 | − | 0.420152i | ||||
\(629\) | 352.884 | + | 611.213i | 0.561024 | + | 0.971723i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −276.842 | − | 159.835i | −0.438736 | − | 0.253304i | 0.264326 | − | 0.964434i | \(-0.414851\pi\) |
−0.703061 | + | 0.711129i | \(0.748184\pi\) | |||||||
\(632\) | −160.770 | − | 17.7376i | −0.254382 | − | 0.0280658i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −149.035 | − | 326.001i | −0.235071 | − | 0.514197i | ||||
\(635\) | 541.062 | − | 644.812i | 0.852065 | − | 1.01545i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −830.035 | − | 302.108i | −1.30304 | − | 0.474267i | ||||
\(638\) | 890.676 | + | 1292.65i | 1.39604 | + | 2.02610i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 264.813 | + | 424.183i | 0.413771 | + | 0.662786i | ||||
\(641\) | −69.5108 | − | 394.215i | −0.108441 | − | 0.615000i | −0.989790 | − | 0.142534i | \(-0.954475\pi\) |
0.881349 | − | 0.472466i | \(-0.156636\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 266.185 | + | 731.338i | 0.413974 | + | 1.13738i | 0.955059 | + | 0.296416i | \(0.0957915\pi\) |
−0.541085 | + | 0.840968i | \(0.681986\pi\) | |||||||
\(644\) | −17.0240 | + | 9.48949i | −0.0264348 | + | 0.0147352i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −88.6049 | − | 340.939i | −0.137159 | − | 0.527770i | ||||
\(647\) | − | 429.893i | − | 0.664440i | −0.943202 | − | 0.332220i | \(-0.892202\pi\) | ||
0.943202 | − | 0.332220i | \(-0.107798\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 1004.29 | 1.54744 | ||||||||
\(650\) | −387.905 | + | 100.810i | −0.596777 | + | 0.155093i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 517.921 | + | 929.144i | 0.794357 | + | 1.42507i | ||||
\(653\) | 173.069 | − | 62.9920i | 0.265037 | − | 0.0964655i | −0.206084 | − | 0.978534i | \(-0.566072\pi\) |
0.471120 | + | 0.882069i | \(0.343850\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 147.378 | − | 25.9868i | 0.225005 | − | 0.0396745i | ||||
\(656\) | 90.6602 | − | 29.9340i | 0.138202 | − | 0.0456311i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −222.126 | + | 153.052i | −0.337578 | + | 0.232601i | ||||
\(659\) | 275.221 | − | 756.165i | 0.417635 | − | 1.14744i | −0.535404 | − | 0.844596i | \(-0.679841\pi\) |
0.953039 | − | 0.302847i | \(-0.0979370\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −97.5532 | − | 81.8569i | −0.147584 | − | 0.123838i | 0.566006 | − | 0.824401i | \(-0.308488\pi\) |
−0.713591 | + | 0.700563i | \(0.752932\pi\) | |||||||
\(662\) | −241.739 | + | 110.514i | −0.365165 | + | 0.166939i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −414.266 | − | 45.7056i | −0.623894 | − | 0.0688338i | ||||
\(665\) | −36.9807 | + | 64.0525i | −0.0556101 | + | 0.0963195i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 75.1088 | − | 43.3641i | 0.112607 | − | 0.0650136i | ||||
\(668\) | 47.2579 | + | 40.8841i | 0.0707454 | + | 0.0612037i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −1.62564 | + | 17.0956i | −0.00242633 | + | 0.0255159i | ||||
\(671\) | −282.232 | − | 49.7652i | −0.420615 | − | 0.0741657i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 385.770 | − | 323.700i | 0.573210 | − | 0.480980i | −0.309500 | − | 0.950900i | \(-0.600162\pi\) |
0.882709 | + | 0.469919i | \(0.155717\pi\) | |||||||
\(674\) | 558.698 | + | 265.671i | 0.828928 | + | 0.394171i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 642.542 | + | 789.633i | 0.950506 | + | 1.16810i | ||||
\(677\) | 277.563 | − | 232.903i | 0.409990 | − | 0.344023i | −0.414350 | − | 0.910118i | \(-0.635991\pi\) |
0.824340 | + | 0.566095i | \(0.191547\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −310.201 | − | 54.6967i | −0.456849 | − | 0.0805548i | ||||
\(680\) | 397.778 | + | 596.351i | 0.584967 | + | 0.876986i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 196.401 | − | 711.476i | 0.287977 | − | 1.04322i | ||||
\(683\) | −882.660 | + | 509.604i | −1.29233 | + | 0.746126i | −0.979067 | − | 0.203541i | \(-0.934755\pi\) |
−0.313262 | + | 0.949667i | \(0.601422\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 109.772 | − | 190.130i | 0.160251 | − | 0.277562i | ||||
\(686\) | −322.897 | + | 318.064i | −0.470695 | + | 0.463650i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −316.266 | − | 400.864i | −0.459689 | − | 0.582651i | ||||
\(689\) | −306.779 | − | 257.418i | −0.445252 | − | 0.373611i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 22.0977 | − | 60.7129i | 0.0319793 | − | 0.0878624i | −0.922676 | − | 0.385577i | \(-0.874002\pi\) |
0.954655 | + | 0.297715i | \(0.0962245\pi\) | |||||||
\(692\) | 752.458 | − | 121.010i | 1.08737 | − | 0.174870i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 370.392 | − | 29.5930i | 0.533706 | − | 0.0426412i | ||||
\(695\) | −910.772 | + | 160.594i | −1.31046 | + | 0.231070i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 128.610 | − | 46.8102i | 0.184519 | − | 0.0671596i | ||||
\(698\) | −80.7179 | + | 113.447i | −0.115642 | + | 0.162531i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −18.0991 | + | 94.3066i | −0.0258558 | + | 0.134724i | ||||
\(701\) | 847.120 | 1.20845 | 0.604223 | − | 0.796815i | \(-0.293484\pi\) | ||||
0.604223 | + | 0.796815i | \(0.293484\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 236.295i | 0.336124i | ||||||||
\(704\) | −1056.90 | − | 439.771i | −1.50128 | − | 0.624674i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −371.428 | + | 522.033i | −0.526103 | + | 0.739424i | ||||
\(707\) | 95.1357 | + | 261.383i | 0.134563 | + | 0.369708i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 34.9456 | + | 198.186i | 0.0492885 | + | 0.279529i | 0.999484 | − | 0.0321259i | \(-0.0102278\pi\) |
−0.950195 | + | 0.311655i | \(0.899117\pi\) | |||||||
\(710\) | −774.192 | + | 61.8552i | −1.09041 | + | 0.0871199i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 127.589 | + | 37.2998i | 0.179198 | + | 0.0523873i | ||||
\(713\) | −38.3187 | − | 13.9469i | −0.0537430 | − | 0.0195608i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −924.350 | + | 1101.60i | −1.29280 | + | 1.54070i | ||||
\(716\) | −1085.87 | − | 16.3750i | −1.51658 | − | 0.0228701i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −193.962 | + | 191.059i | −0.270143 | + | 0.266100i | ||||
\(719\) | 513.183 | + | 296.286i | 0.713745 | + | 0.412081i | 0.812446 | − | 0.583036i | \(-0.198135\pi\) |
−0.0987011 | + | 0.995117i | \(0.531469\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −170.795 | − | 295.826i | −0.236887 | − | 0.410300i | ||||
\(722\) | −160.737 | + | 582.281i | −0.222627 | + | 0.806484i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 44.6929 | + | 26.7100i | 0.0617305 | + | 0.0368922i | ||||
\(725\) | 74.2011 | − | 420.816i | 0.102346 | − | 0.580435i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 362.352 | + | 431.835i | 0.498421 | + | 0.593995i | 0.955338 | − | 0.295514i | \(-0.0954909\pi\) |
−0.456917 | + | 0.889509i | \(0.651046\pi\) | |||||||
\(728\) | 394.327 | − | 96.1562i | 0.541658 | − | 0.132083i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −448.839 | − | 213.431i | −0.614848 | − | 0.292372i | ||||
\(731\) | −470.494 | − | 560.713i | −0.643631 | − | 0.767049i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 86.4998 | − | 490.565i | 0.118008 | − | 0.669256i | −0.867209 | − | 0.497944i | \(-0.834088\pi\) |
0.985217 | − | 0.171312i | \(-0.0548006\pi\) | |||||||
\(734\) | −60.6686 | + | 638.006i | −0.0826548 | + | 0.869218i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −28.8698 | + | 56.2715i | −0.0392253 | + | 0.0764558i | ||||
\(737\) | −19.6562 | − | 34.0455i | −0.0266705 | − | 0.0461947i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 64.8835 | + | 37.4605i | 0.0877990 | + | 0.0506908i | 0.543257 | − | 0.839567i | \(-0.317191\pi\) |
−0.455458 | + | 0.890257i | \(0.650524\pi\) | |||||||
\(740\) | −157.628 | − | 454.279i | −0.213011 | − | 0.613890i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −87.2645 | + | 39.8939i | −0.117607 | + | 0.0537654i | ||||
\(743\) | 393.521 | − | 468.979i | 0.529637 | − | 0.631197i | −0.433194 | − | 0.901301i | \(-0.642613\pi\) |
0.962831 | + | 0.270104i | \(0.0870579\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −122.902 | − | 44.7327i | −0.164969 | − | 0.0600438i | ||||
\(746\) | 214.219 | − | 147.604i | 0.287157 | − | 0.197860i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −1533.41 | − | 584.447i | −2.05001 | − | 0.781347i | ||||
\(749\) | 64.9075 | + | 368.109i | 0.0866589 | + | 0.491467i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −9.88829 | − | 27.1679i | −0.0131668 | − | 0.0361756i | 0.932935 | − | 0.360045i | \(-0.117239\pi\) |
−0.946102 | + | 0.323869i | \(0.895016\pi\) | |||||||
\(752\) | −324.046 | + | 813.139i | −0.430913 | + | 1.08130i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −1748.04 | + | 454.289i | −2.31836 | + | 0.602505i | ||||
\(755\) | − | 143.863i | − | 0.190547i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −1216.32 | −1.60676 | −0.803380 | − | 0.595467i | \(-0.796967\pi\) | ||||
−0.803380 | + | 0.595467i | \(0.796967\pi\) | |||||||
\(758\) | 279.409 | + | 1075.13i | 0.368613 | + | 1.41837i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 15.5049 | + | 239.501i | 0.0204012 | + | 0.315133i | ||||
\(761\) | −132.675 | + | 48.2896i | −0.174342 | + | 0.0634554i | −0.427717 | − | 0.903913i | \(-0.640682\pi\) |
0.253374 | + | 0.967368i | \(0.418460\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 311.374 | − | 54.9036i | 0.408092 | − | 0.0719576i | ||||
\(764\) | −1101.15 | − | 419.694i | −1.44129 | − | 0.549338i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −45.2516 | − | 65.6743i | −0.0590752 | − | 0.0857367i | ||||
\(767\) | −395.196 | + | 1085.79i | −0.515249 | + | 1.41563i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 377.149 | + | 316.466i | 0.490441 | + | 0.411529i | 0.854184 | − | 0.519970i | \(-0.174057\pi\) |
−0.363743 | + | 0.931499i | \(0.618501\pi\) | |||||||
\(770\) | 143.253 | + | 313.354i | 0.186043 | + | 0.406954i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −336.924 | − | 971.003i | −0.436430 | − | 1.25778i | ||||
\(773\) | −139.762 | + | 242.074i | −0.180804 | + | 0.313162i | −0.942155 | − | 0.335179i | \(-0.891203\pi\) |
0.761350 | + | 0.648341i | \(0.224537\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −173.995 | + | 100.456i | −0.224509 | + | 0.129620i | ||||
\(776\) | −935.888 | + | 410.905i | −1.20604 | + | 0.529517i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −849.301 | − | 80.7609i | −1.09165 | − | 0.103806i | ||||
\(779\) | 45.1267 | + | 7.95705i | 0.0579290 | + | 0.0102144i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1361.99 | − | 1142.85i | 1.74391 | − | 1.46331i | ||||
\(782\) | −38.9343 | + | 81.8774i | −0.0497881 | + | 0.104703i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −139.592 | + | 672.416i | −0.178051 | + | 0.857673i | ||||
\(785\) | −261.033 | + | 219.033i | −0.332526 | + | 0.279023i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −930.818 | − | 164.128i | −1.18274 | − | 0.208549i | −0.452517 | − | 0.891756i | \(-0.649474\pi\) |
−0.730225 | + | 0.683207i | \(0.760585\pi\) | |||||||
\(788\) | 293.646 | + | 175.493i | 0.372647 | + | 0.222707i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 152.277 | + | 42.0355i | 0.192756 | + | 0.0532095i | ||||
\(791\) | −308.117 | + | 177.892i | −0.389529 | + | 0.224894i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 164.864 | − | 285.553i | 0.207900 | − | 0.360093i | ||||
\(794\) | 532.751 | + | 540.846i | 0.670971 | + | 0.681166i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 73.4162 | + | 1.10712i | 0.0922314 | + | 0.00139086i | ||||
\(797\) | 674.688 | + | 566.131i | 0.846535 | + | 0.710327i | 0.959024 | − | 0.283326i | \(-0.0914378\pi\) |
−0.112489 | + | 0.993653i | \(0.535882\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −429.167 | + | 1179.13i | −0.537130 | + | 1.47575i | ||||
\(800\) | 120.954 | + | 287.174i | 0.151192 | + | 0.358968i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 18.3540 | + | 229.722i | 0.0228853 | + | 0.286437i | ||||
\(803\) | 1120.46 | − | 197.568i | 1.39535 | − | 0.246037i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 17.8876 | − | 6.51055i | 0.0222206 | − | 0.00808764i | ||||
\(806\) | 691.929 | + | 492.310i | 0.858473 | + | 0.610807i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 727.481 | + | 534.309i | 0.900348 | + | 0.661273i | ||||
\(809\) | 752.685 | 0.930389 | 0.465195 | − | 0.885208i | \(-0.345984\pi\) | ||||
0.465195 | + | 0.885208i | \(0.345984\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 765.315i | − | 0.943669i | −0.881687 | − | 0.471834i | \(-0.843592\pi\) | ||
0.881687 | − | 0.471834i | \(-0.156408\pi\) | |||||||
\(812\) | −81.5610 | + | 424.980i | −0.100445 | + | 0.523374i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 896.916 | + | 638.158i | 1.10186 | + | 0.783978i | ||||
\(815\) | −355.335 | − | 976.276i | −0.435994 | − | 1.19788i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −42.5550 | − | 241.341i | −0.0520869 | − | 0.295399i | ||||
\(818\) | −34.6325 | − | 433.468i | −0.0423380 | − | 0.529912i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −92.0642 | + | 14.8057i | −0.112273 | + | 0.0180557i | ||||
\(821\) | −315.409 | − | 114.799i | −0.384176 | − | 0.139829i | 0.142710 | − | 0.989765i | \(-0.454418\pi\) |
−0.526886 | + | 0.849936i | \(0.676641\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −334.820 | + | 399.023i | −0.406828 | + | 0.484839i | −0.930089 | − | 0.367333i | \(-0.880271\pi\) |
0.523261 | + | 0.852173i | \(0.324715\pi\) | |||||||
\(824\) | −993.746 | − | 491.052i | −1.20600 | − | 0.595937i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 194.279 | + | 197.231i | 0.235204 | + | 0.238778i | ||||
\(827\) | 546.337 | + | 315.428i | 0.660625 | + | 0.381412i | 0.792515 | − | 0.609852i | \(-0.208771\pi\) |
−0.131890 | + | 0.991264i | \(0.542105\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −225.729 | − | 390.973i | −0.272290 | − | 0.471620i | 0.697158 | − | 0.716918i | \(-0.254448\pi\) |
−0.969448 | + | 0.245297i | \(0.921114\pi\) | |||||||
\(830\) | 392.382 | + | 108.316i | 0.472749 | + | 0.130501i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 891.358 | − | 969.621i | 1.07134 | − | 1.16541i | ||||
\(833\) | −170.952 | + | 969.516i | −0.205224 | + | 1.16388i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −39.2300 | − | 46.7524i | −0.0469820 | − | 0.0559909i | ||||
\(836\) | −346.775 | − | 426.158i | −0.414802 | − | 0.509759i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 111.414 | − | 234.300i | 0.132953 | − | 0.279595i | ||||
\(839\) | 637.673 | + | 759.949i | 0.760040 | + | 0.905780i | 0.997851 | − | 0.0655314i | \(-0.0208743\pi\) |
−0.237811 | + | 0.971312i | \(0.576430\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 188.339 | − | 1068.12i | 0.223947 | − | 1.27006i | ||||
\(842\) | 200.973 | + | 19.1107i | 0.238685 | + | 0.0226968i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −545.534 | − | 471.956i | −0.646367 | − | 0.559190i | ||||
\(845\) | −497.141 | − | 861.073i | −0.588332 | − | 1.01902i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −424.732 | − | 245.219i | −0.501455 | − | 0.289515i | ||||
\(848\) | −163.739 | + | 264.828i | −0.193089 | + | 0.312297i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 185.723 | + | 406.254i | 0.218498 | + | 0.477946i | ||||
\(851\) | 39.0916 | − | 46.5876i | 0.0459361 | − | 0.0547445i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −117.818 | − | 42.8824i | −0.138122 | − | 0.0502725i | 0.272034 | − | 0.962288i | \(-0.412304\pi\) |
−0.410156 | + | 0.912015i | \(0.634526\pi\) | |||||||
\(854\) | −44.8242 | − | 65.0541i | −0.0524874 | − | 0.0761758i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 838.054 | + | 876.849i | 0.979035 | + | 1.02436i | ||||
\(857\) | 5.06668 | + | 28.7346i | 0.00591211 | + | 0.0335292i | 0.987621 | − | 0.156858i | \(-0.0501366\pi\) |
−0.981709 | + | 0.190388i | \(0.939026\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −477.457 | − | 1311.80i | −0.555829 | − | 1.52713i | −0.825630 | − | 0.564211i | \(-0.809180\pi\) |
0.269802 | − | 0.962916i | \(-0.413042\pi\) | |||||||
\(860\) | 242.806 | + | 435.592i | 0.282333 | + | 0.506502i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 8.74099 | + | 33.6341i | 0.0101404 | + | 0.0390187i | ||||
\(863\) | − | 791.555i | − | 0.917213i | −0.888639 | − | 0.458606i | \(-0.848349\pi\) | ||
0.888639 | − | 0.458606i | \(-0.151651\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −744.349 | −0.860519 | ||||||||
\(866\) | −1428.08 | + | 371.137i | −1.64906 | + | 0.428564i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 177.719 | − | 99.0635i | 0.204745 | − | 0.114129i | ||||
\(869\) | −339.826 | + | 123.686i | −0.391054 | + | 0.142332i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 44.5432 | − | 7.85417i | 0.0511403 | − | 0.00901742i | ||||
\(872\) | 741.704 | − | 708.888i | 0.850578 | − | 0.812945i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −24.9955 | + | 17.2227i | −0.0285990 | + | 0.0197056i | ||||
\(875\) | 114.431 | − | 314.395i | 0.130778 | − | 0.359309i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 740.892 | + | 621.682i | 0.844803 | + | 0.708874i | 0.958639 | − | 0.284626i | \(-0.0918693\pi\) |
−0.113836 | + | 0.993500i | \(0.536314\pi\) | |||||||
\(878\) | 702.582 | − | 321.193i | 0.800207 | − | 0.365823i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 950.958 | + | 587.964i | 1.08063 | + | 0.668141i | ||||
\(881\) | 176.281 | − | 305.328i | 0.200092 | − | 0.346570i | −0.748466 | − | 0.663174i | \(-0.769209\pi\) |
0.948558 | + | 0.316604i | \(0.102542\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 49.7450 | − | 28.7203i | 0.0563364 | − | 0.0325258i | −0.471567 | − | 0.881830i | \(-0.656312\pi\) |
0.527904 | + | 0.849304i | \(0.322978\pi\) | |||||||
\(884\) | 1235.28 | − | 1427.87i | 1.39738 | − | 1.61523i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −39.5376 | + | 415.787i | −0.0446248 | + | 0.469285i | ||||
\(887\) | −5.74429 | − | 1.01287i | −0.00647609 | − | 0.00114191i | 0.170409 | − | 0.985373i | \(-0.445491\pi\) |
−0.176885 | + | 0.984231i | \(0.556602\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −406.914 | + | 341.441i | −0.457721 | + | 0.384074i | ||||
\(890\) | −117.248 | − | 55.7535i | −0.131739 | − | 0.0626444i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −163.027 | + | 132.659i | −0.182766 | + | 0.148721i | ||||
\(893\) | −321.826 | + | 270.044i | −0.360388 | + | 0.302401i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 1044.55 | + | 184.182i | 1.16709 | + | 0.205790i | ||||
\(896\) | −118.091 | − | 292.636i | −0.131798 | − | 0.326603i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −193.597 | + | 701.319i | −0.215586 | + | 0.780979i | ||||
\(899\) | −784.083 | + | 452.691i | −0.872173 | + | 0.503549i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −223.169 | + | 386.540i | −0.247690 | + | 0.429012i | ||||
\(902\) | 152.076 | − | 149.800i | 0.168598 | − | 0.166075i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −511.455 | + | 1035.03i | −0.565768 | + | 1.14495i | ||||
\(905\) | −38.9546 | − | 32.6868i | −0.0430438 | − | 0.0361180i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 358.801 | − | 985.799i | 0.395591 | − | 1.08688i | −0.568818 | − | 0.822464i | \(-0.692599\pi\) |
0.964409 | − | 0.264415i | \(-0.0851788\pi\) | |||||||
\(908\) | −51.9726 | − | 323.174i | −0.0572386 | − | 0.355919i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −395.155 | + | 31.5714i | −0.434236 | + | 0.0346939i | ||||
\(911\) | 1063.71 | − | 187.560i | 1.16763 | − | 0.205884i | 0.443968 | − | 0.896043i | \(-0.353570\pi\) |
0.723658 | + | 0.690159i | \(0.242459\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −875.651 | + | 318.711i | −0.959092 | + | 0.349081i | ||||
\(914\) | 642.259 | − | 902.679i | 0.702691 | − | 0.987614i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 96.8054 | + | 18.5786i | 0.105683 | + | 0.0202824i | ||||
\(917\) | −94.4391 | −0.102987 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | − | 64.6952i | − | 0.0703974i | −0.999380 | − | 0.0351987i | \(-0.988794\pi\) | ||
0.999380 | − | 0.0351987i | \(-0.0112064\pi\) | |||||||
\(920\) | 36.5651 | − | 49.7847i | 0.0397446 | − | 0.0541138i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 549.215 | − | 771.908i | 0.595678 | − | 0.837210i | ||||
\(923\) | 699.637 | + | 1922.24i | 0.758003 | + | 2.08260i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −52.0315 | − | 295.085i | −0.0562503 | − | 0.319011i | ||||
\(926\) | 76.8902 | − | 6.14325i | 0.0830348 | − | 0.00663418i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 545.061 | + | 1294.11i | 0.587350 | + | 1.39452i | ||||
\(929\) | 90.3020 | + | 32.8673i | 0.0972035 | + | 0.0353792i | 0.390164 | − | 0.920745i | \(-0.372418\pi\) |
−0.292961 | + | 0.956125i | \(0.594640\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −211.867 | + | 252.494i | −0.227570 | + | 0.271207i | ||||
\(932\) | 4.78090 | − | 317.034i | 0.00512972 | − | 0.340165i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −224.407 | + | 221.048i | −0.240264 | + | 0.236668i | ||||
\(935\) | 1388.01 | + | 801.368i | 1.48450 | + | 0.857078i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 43.2795 | + | 74.9624i | 0.0461895 | + | 0.0800025i | 0.888196 | − | 0.459465i | \(-0.151959\pi\) |
−0.842006 | + | 0.539468i | \(0.818626\pi\) | |||||||
\(938\) | 2.88366 | − | 10.4463i | 0.00307427 | − | 0.0111368i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 438.571 | − | 733.845i | 0.466565 | − | 0.780686i | ||||
\(941\) | 231.827 | − | 1314.76i | 0.246363 | − | 1.39719i | −0.570944 | − | 0.820989i | \(-0.693423\pi\) |
0.817306 | − | 0.576203i | \(-0.195466\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −7.58072 | − | 9.03435i | −0.00803894 | − | 0.00958043i | ||||
\(944\) | 879.606 | + | 182.605i | 0.931786 | + | 0.193437i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −1030.99 | − | 490.258i | −1.08985 | − | 0.518243i | ||||
\(947\) | −1040.19 | − | 1239.65i | −1.09840 | − | 1.30903i | −0.947242 | − | 0.320519i | \(-0.896143\pi\) |
−0.151162 | − | 0.988509i | \(-0.548302\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −227.309 | + | 1289.14i | −0.239525 | + | 1.35841i | ||||
\(950\) | −14.1575 | + | 148.884i | −0.0149027 | + | 0.156720i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −181.858 | − | 414.204i | −0.191027 | − | 0.435088i | ||||
\(953\) | −102.057 | − | 176.767i | −0.107090 | − | 0.185485i | 0.807500 | − | 0.589867i | \(-0.200820\pi\) |
−0.914590 | + | 0.404382i | \(0.867487\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 996.736 | + | 575.466i | 1.04370 | + | 0.602582i | ||||
\(956\) | −554.875 | + | 192.534i | −0.580413 | + | 0.201395i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −844.814 | + | 386.216i | −0.881851 | + | 0.403148i | ||||
\(959\) | −89.0548 | + | 106.131i | −0.0928622 | + | 0.110669i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −503.024 | − | 183.086i | −0.523438 | − | 0.190516i | ||||
\(962\) | −1042.89 | + | 718.583i | −1.08408 | + | 0.746967i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 506.649 | − | 1329.29i | 0.525570 | − | 1.37893i | ||||
\(965\) | 174.312 | + | 988.572i | 0.180634 | + | 1.02443i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −103.339 | − | 283.922i | −0.106866 | − | 0.293611i | 0.874721 | − | 0.484626i | \(-0.161044\pi\) |
−0.981587 | + | 0.191015i | \(0.938822\pi\) | |||||||
\(968\) | −1588.13 | + | 102.813i | −1.64063 | + | 0.106212i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 966.183 | − | 251.096i | 0.996065 | − | 0.258862i | ||||
\(971\) | − | 1000.22i | − | 1.03010i | −0.857161 | − | 0.515049i | \(-0.827774\pi\) | ||
0.857161 | − | 0.515049i | \(-0.172226\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 583.617 | 0.599812 | ||||||||
\(974\) | −444.451 | − | 1710.19i | −0.456315 | − | 1.75584i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −238.144 | − | 94.9035i | −0.244000 | − | 0.0972372i | ||||
\(977\) | 95.5668 | − | 34.7835i | 0.0978166 | − | 0.0356023i | −0.292648 | − | 0.956220i | \(-0.594537\pi\) |
0.390465 | + | 0.920618i | \(0.372314\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 292.692 | − | 51.6095i | 0.298970 | − | 0.0527166i | ||||
\(980\) | 238.882 | − | 626.753i | 0.243757 | − | 0.639544i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −553.319 | − | 803.040i | −0.563462 | − | 0.817760i | ||||
\(983\) | −554.806 | + | 1524.32i | −0.564400 | + | 1.55068i | 0.248716 | + | 0.968576i | \(0.419991\pi\) |
−0.813117 | + | 0.582101i | \(0.802231\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −255.944 | − | 214.762i | −0.259841 | − | 0.218033i | ||||
\(986\) | 836.937 | + | 1830.73i | 0.848821 | + | 1.85672i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 597.200 | − | 207.220i | 0.604454 | − | 0.209737i | ||||
\(989\) | −31.5363 | + | 54.6225i | −0.0318871 | + | 0.0552300i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −1135.19 | + | 655.405i | −1.14550 | + | 0.661357i | −0.947788 | − | 0.318902i | \(-0.896686\pi\) |
−0.197717 | + | 0.980259i | \(0.563353\pi\) | |||||||
\(992\) | 301.381 | − | 587.434i | 0.303811 | − | 0.592172i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 487.917 | + | 46.3965i | 0.490862 | + | 0.0466765i | ||||
\(995\) | −70.6224 | − | 12.4526i | −0.0709773 | − | 0.0125152i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −170.842 | + | 143.354i | −0.171356 | + | 0.143785i | −0.724433 | − | 0.689346i | \(-0.757898\pi\) |
0.553076 | + | 0.833131i | \(0.313454\pi\) | |||||||
\(998\) | −222.458 | + | 467.822i | −0.222904 | + | 0.468760i | ||||
\(999\) | 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 | 324.3.j.a.199.31 | 204 | ||
3.2 | odd | 2 | 108.3.j.a.103.4 | yes | 204 | ||
4.3 | odd | 2 | inner | 324.3.j.a.199.22 | 204 | ||
12.11 | even | 2 | 108.3.j.a.103.13 | yes | 204 | ||
27.11 | odd | 18 | 108.3.j.a.43.13 | yes | 204 | ||
27.16 | even | 9 | inner | 324.3.j.a.127.22 | 204 | ||
108.11 | even | 18 | 108.3.j.a.43.4 | ✓ | 204 | ||
108.43 | odd | 18 | inner | 324.3.j.a.127.31 | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.3.j.a.43.4 | ✓ | 204 | 108.11 | even | 18 | ||
108.3.j.a.43.13 | yes | 204 | 27.11 | odd | 18 | ||
108.3.j.a.103.4 | yes | 204 | 3.2 | odd | 2 | ||
108.3.j.a.103.13 | yes | 204 | 12.11 | even | 2 | ||
324.3.j.a.127.22 | 204 | 27.16 | even | 9 | inner | ||
324.3.j.a.127.31 | 204 | 108.43 | odd | 18 | inner | ||
324.3.j.a.199.22 | 204 | 4.3 | odd | 2 | inner | ||
324.3.j.a.199.31 | 204 | 1.1 | even | 1 | trivial |