Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(68,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 5, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.68");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.r (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 269.16 | ||
Character | \(\chi\) | \(=\) | 273.269 |
Dual form | 273.2.r.b.68.17 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 0.0504397i | − | 0.0356663i | −0.999841 | − | 0.0178331i | \(-0.994323\pi\) | ||
0.999841 | − | 0.0178331i | \(-0.00567676\pi\) | |||||||
\(3\) | 0.667082 | + | 1.59844i | 0.385140 | + | 0.922858i | ||||
\(4\) | 1.99746 | 0.998728 | ||||||||
\(5\) | 1.19579 | + | 2.07117i | 0.534774 | + | 0.926256i | 0.999174 | + | 0.0406302i | \(0.0129366\pi\) |
−0.464400 | + | 0.885625i | \(0.653730\pi\) | |||||||
\(6\) | 0.0806247 | − | 0.0336474i | 0.0329149 | − | 0.0137365i | ||||
\(7\) | 0.00656452 | − | 2.64574i | 0.00248116 | − | 0.999997i | ||||
\(8\) | − | 0.201631i | − | 0.0712872i | ||||||
\(9\) | −2.11000 | + | 2.13258i | −0.703334 | + | 0.710859i | ||||
\(10\) | 0.104469 | − | 0.0603154i | 0.0330361 | − | 0.0190734i | ||||
\(11\) | 2.85650 | − | 1.64920i | 0.861267 | − | 0.497253i | −0.00316960 | − | 0.999995i | \(-0.501009\pi\) |
0.864436 | + | 0.502742i | \(0.167676\pi\) | |||||||
\(12\) | 1.33247 | + | 3.19281i | 0.384650 | + | 0.921684i | ||||
\(13\) | −3.26013 | − | 1.53997i | −0.904199 | − | 0.427112i | ||||
\(14\) | −0.133451 | 0.000331113i | −0.0356662 | 8.84936e-5i | ||||||
\(15\) | −2.51294 | + | 3.29304i | −0.648840 | + | 0.850259i | ||||
\(16\) | 3.98474 | 0.996185 | ||||||||
\(17\) | −6.34997 | −1.54009 | −0.770046 | − | 0.637988i | \(-0.779767\pi\) | ||||
−0.770046 | + | 0.637988i | \(0.779767\pi\) | |||||||
\(18\) | 0.107567 | + | 0.106428i | 0.0253537 | + | 0.0250853i | ||||
\(19\) | −4.30999 | − | 2.48837i | −0.988778 | − | 0.570871i | −0.0838695 | − | 0.996477i | \(-0.526728\pi\) |
−0.904909 | + | 0.425605i | \(0.860061\pi\) | |||||||
\(20\) | 2.38854 | + | 4.13707i | 0.534094 | + | 0.925077i | ||||
\(21\) | 4.23343 | − | 1.75444i | 0.923811 | − | 0.382849i | ||||
\(22\) | −0.0831852 | − | 0.144081i | −0.0177351 | − | 0.0307182i | ||||
\(23\) | 3.78971i | 0.790208i | 0.918636 | + | 0.395104i | \(0.129291\pi\) | ||||
−0.918636 | + | 0.395104i | \(0.870709\pi\) | |||||||
\(24\) | 0.322294 | − | 0.134504i | 0.0657879 | − | 0.0274556i | ||||
\(25\) | −0.359831 | + | 0.623246i | −0.0719663 | + | 0.124649i | ||||
\(26\) | −0.0776759 | + | 0.164440i | −0.0152335 | + | 0.0322494i | ||||
\(27\) | −4.81634 | − | 1.95010i | −0.926905 | − | 0.375297i | ||||
\(28\) | 0.0131123 | − | 5.28476i | 0.00247800 | − | 0.998725i | ||||
\(29\) | 2.15531 | + | 1.24437i | 0.400231 | + | 0.231073i | 0.686584 | − | 0.727051i | \(-0.259110\pi\) |
−0.286353 | + | 0.958124i | \(0.592443\pi\) | |||||||
\(30\) | 0.166100 | + | 0.126752i | 0.0303256 | + | 0.0231417i | ||||
\(31\) | 4.40944 | + | 2.54579i | 0.791960 | + | 0.457238i | 0.840652 | − | 0.541576i | \(-0.182172\pi\) |
−0.0486923 | + | 0.998814i | \(0.515505\pi\) | |||||||
\(32\) | − | 0.604250i | − | 0.106817i | ||||||
\(33\) | 4.54166 | + | 3.46578i | 0.790602 | + | 0.603315i | ||||
\(34\) | 0.320291i | 0.0549294i | ||||||||
\(35\) | 5.48763 | − | 3.15016i | 0.927580 | − | 0.532474i | ||||
\(36\) | −4.21464 | + | 4.25973i | −0.702439 | + | 0.709955i | ||||
\(37\) | 5.24612 | 0.862457 | 0.431228 | − | 0.902243i | \(-0.358080\pi\) | ||||
0.431228 | + | 0.902243i | \(0.358080\pi\) | |||||||
\(38\) | −0.125513 | + | 0.217394i | −0.0203609 | + | 0.0352660i | ||||
\(39\) | 0.286774 | − | 6.23841i | 0.0459207 | − | 0.998945i | ||||
\(40\) | 0.417611 | − | 0.241108i | 0.0660301 | − | 0.0381225i | ||||
\(41\) | −0.726691 | + | 1.25866i | −0.113490 | + | 0.196570i | −0.917175 | − | 0.398484i | \(-0.869536\pi\) |
0.803685 | + | 0.595055i | \(0.202870\pi\) | |||||||
\(42\) | −0.0884932 | − | 0.213533i | −0.0136548 | − | 0.0329489i | ||||
\(43\) | −0.219074 | − | 0.379447i | −0.0334085 | − | 0.0578652i | 0.848838 | − | 0.528653i | \(-0.177303\pi\) |
−0.882246 | + | 0.470788i | \(0.843970\pi\) | |||||||
\(44\) | 5.70573 | − | 3.29420i | 0.860171 | − | 0.496620i | ||||
\(45\) | −6.94005 | − | 1.82006i | −1.03456 | − | 0.271318i | ||||
\(46\) | 0.191152 | 0.0281838 | ||||||||
\(47\) | −2.16184 | − | 3.74442i | −0.315337 | − | 0.546180i | 0.664172 | − | 0.747580i | \(-0.268784\pi\) |
−0.979509 | + | 0.201400i | \(0.935451\pi\) | |||||||
\(48\) | 2.65815 | + | 6.36936i | 0.383671 | + | 0.919338i | ||||
\(49\) | −6.99991 | − | 0.0347361i | −0.999988 | − | 0.00496230i | ||||
\(50\) | 0.0314364 | + | 0.0181498i | 0.00444577 | + | 0.00256677i | ||||
\(51\) | −4.23595 | − | 10.1500i | −0.593152 | − | 1.42129i | ||||
\(52\) | −6.51197 | − | 3.07603i | −0.903048 | − | 0.426569i | ||||
\(53\) | −11.7501 | − | 6.78394i | −1.61400 | − | 0.931845i | −0.988430 | − | 0.151681i | \(-0.951531\pi\) |
−0.625574 | − | 0.780165i | \(-0.715135\pi\) | |||||||
\(54\) | −0.0983625 | + | 0.242935i | −0.0133854 | + | 0.0330592i | ||||
\(55\) | 6.83155 | + | 3.94420i | 0.921166 | + | 0.531835i | ||||
\(56\) | −0.533463 | − | 0.00132361i | −0.0712869 | − | 0.000176875i | ||||
\(57\) | 1.10239 | − | 8.54919i | 0.146015 | − | 1.13237i | ||||
\(58\) | 0.0627656 | − | 0.108713i | 0.00824153 | − | 0.0142747i | ||||
\(59\) | −2.83547 | −0.369146 | −0.184573 | − | 0.982819i | \(-0.559090\pi\) | ||||
−0.184573 | + | 0.982819i | \(0.559090\pi\) | |||||||
\(60\) | −5.01950 | + | 6.57770i | −0.648014 | + | 0.849177i | ||||
\(61\) | 2.46719 | + | 1.42443i | 0.315891 | + | 0.182380i | 0.649560 | − | 0.760311i | \(-0.274953\pi\) |
−0.333669 | + | 0.942690i | \(0.608287\pi\) | |||||||
\(62\) | 0.128409 | − | 0.222411i | 0.0163080 | − | 0.0282462i | ||||
\(63\) | 5.62840 | + | 5.59652i | 0.709112 | + | 0.705096i | ||||
\(64\) | 7.93900 | 0.992376 | ||||||||
\(65\) | −0.708889 | − | 8.59378i | −0.0879269 | − | 1.06593i | ||||
\(66\) | 0.174813 | − | 0.229080i | 0.0215180 | − | 0.0281978i | ||||
\(67\) | −0.719519 | − | 1.24624i | −0.0879032 | − | 0.152253i | 0.818721 | − | 0.574191i | \(-0.194683\pi\) |
−0.906625 | + | 0.421938i | \(0.861350\pi\) | |||||||
\(68\) | −12.6838 | −1.53813 | ||||||||
\(69\) | −6.05761 | + | 2.52805i | −0.729250 | + | 0.304341i | ||||
\(70\) | −0.158893 | − | 0.276795i | −0.0189914 | − | 0.0330833i | ||||
\(71\) | −5.14430 | + | 2.97006i | −0.610516 | + | 0.352482i | −0.773167 | − | 0.634202i | \(-0.781329\pi\) |
0.162651 | + | 0.986684i | \(0.447995\pi\) | |||||||
\(72\) | 0.429993 | + | 0.425441i | 0.0506752 | + | 0.0501387i | ||||
\(73\) | 4.79664 | + | 2.76934i | 0.561404 | + | 0.324127i | 0.753709 | − | 0.657209i | \(-0.228263\pi\) |
−0.192305 | + | 0.981335i | \(0.561596\pi\) | |||||||
\(74\) | − | 0.264613i | − | 0.0307606i | ||||||
\(75\) | −1.23626 | − | 0.159411i | −0.142751 | − | 0.0184072i | ||||
\(76\) | −8.60901 | − | 4.97041i | −0.987521 | − | 0.570145i | ||||
\(77\) | −4.34461 | − | 7.56839i | −0.495114 | − | 0.862498i | ||||
\(78\) | −0.314664 | − | 0.0144648i | −0.0356286 | − | 0.00163782i | ||||
\(79\) | 2.32507 | + | 4.02714i | 0.261591 | + | 0.453088i | 0.966665 | − | 0.256045i | \(-0.0824197\pi\) |
−0.705074 | + | 0.709134i | \(0.749086\pi\) | |||||||
\(80\) | 4.76492 | + | 8.25308i | 0.532734 | + | 0.922722i | ||||
\(81\) | −0.0957808 | − | 8.99949i | −0.0106423 | − | 0.999943i | ||||
\(82\) | 0.0634867 | + | 0.0366541i | 0.00701093 | + | 0.00404776i | ||||
\(83\) | 16.2715 | 1.78603 | 0.893015 | − | 0.450026i | \(-0.148585\pi\) | ||||
0.893015 | + | 0.450026i | \(0.148585\pi\) | |||||||
\(84\) | 8.45610 | − | 3.50441i | 0.922636 | − | 0.382362i | ||||
\(85\) | −7.59323 | − | 13.1519i | −0.823602 | − | 1.42652i | ||||
\(86\) | −0.0191392 | + | 0.0110500i | −0.00206384 | + | 0.00119156i | ||||
\(87\) | −0.551276 | + | 4.27522i | −0.0591030 | + | 0.458352i | ||||
\(88\) | −0.332529 | − | 0.575957i | −0.0354477 | − | 0.0613973i | ||||
\(89\) | 5.09488 | 0.540056 | 0.270028 | − | 0.962852i | \(-0.412967\pi\) | ||||
0.270028 | + | 0.962852i | \(0.412967\pi\) | |||||||
\(90\) | −0.0918032 | + | 0.350054i | −0.00967690 | + | 0.0368990i | ||||
\(91\) | −4.09578 | + | 8.61537i | −0.429354 | + | 0.903136i | ||||
\(92\) | 7.56977i | 0.789203i | ||||||||
\(93\) | −1.12783 | + | 8.74647i | −0.116950 | + | 0.906967i | ||||
\(94\) | −0.188868 | + | 0.109043i | −0.0194802 | + | 0.0112469i | ||||
\(95\) | − | 11.9023i | − | 1.22115i | ||||||
\(96\) | 0.965856 | − | 0.403085i | 0.0985773 | − | 0.0411397i | ||||
\(97\) | 11.0551 | − | 6.38267i | 1.12248 | − | 0.648062i | 0.180445 | − | 0.983585i | \(-0.442246\pi\) |
0.942032 | + | 0.335523i | \(0.108913\pi\) | |||||||
\(98\) | −0.00175208 | + | 0.353074i | −0.000176987 | + | 0.0356658i | ||||
\(99\) | −2.51017 | + | 9.57152i | −0.252282 | + | 0.961974i | ||||
\(100\) | −0.718747 | + | 1.24491i | −0.0718747 | + | 0.124491i | ||||
\(101\) | −7.70071 | − | 13.3380i | −0.766250 | − | 1.32718i | −0.939583 | − | 0.342320i | \(-0.888787\pi\) |
0.173334 | − | 0.984863i | \(-0.444546\pi\) | |||||||
\(102\) | −0.511964 | + | 0.213660i | −0.0506920 | + | 0.0211555i | ||||
\(103\) | −8.35522 | + | 4.82389i | −0.823264 | + | 0.475312i | −0.851541 | − | 0.524288i | \(-0.824331\pi\) |
0.0282768 | + | 0.999600i | \(0.490998\pi\) | |||||||
\(104\) | −0.310506 | + | 0.657343i | −0.0304476 | + | 0.0644578i | ||||
\(105\) | 8.69604 | + | 6.67022i | 0.848646 | + | 0.650947i | ||||
\(106\) | −0.342180 | + | 0.592673i | −0.0332355 | + | 0.0575655i | ||||
\(107\) | 15.9995i | 1.54673i | 0.633964 | + | 0.773363i | \(0.281427\pi\) | ||||
−0.633964 | + | 0.773363i | \(0.718573\pi\) | |||||||
\(108\) | −9.62042 | − | 3.89524i | −0.925726 | − | 0.374820i | ||||
\(109\) | −1.34089 | + | 2.32249i | −0.128434 | + | 0.222454i | −0.923070 | − | 0.384632i | \(-0.874328\pi\) |
0.794636 | + | 0.607086i | \(0.207662\pi\) | |||||||
\(110\) | 0.198944 | − | 0.344581i | 0.0189686 | − | 0.0328546i | ||||
\(111\) | 3.49959 | + | 8.38559i | 0.332167 | + | 0.795925i | ||||
\(112\) | 0.0261579 | − | 10.5426i | 0.00247169 | − | 0.996182i | ||||
\(113\) | −1.59016 | + | 0.918079i | −0.149590 | + | 0.0863656i | −0.572927 | − | 0.819607i | \(-0.694192\pi\) |
0.423337 | + | 0.905972i | \(0.360859\pi\) | |||||||
\(114\) | −0.431219 | − | 0.0556042i | −0.0403873 | − | 0.00520781i | ||||
\(115\) | −7.84913 | + | 4.53170i | −0.731935 | + | 0.422583i | ||||
\(116\) | 4.30514 | + | 2.48557i | 0.399722 | + | 0.230779i | ||||
\(117\) | 10.1630 | − | 3.70314i | 0.939570 | − | 0.342356i | ||||
\(118\) | 0.143020i | 0.0131661i | ||||||||
\(119\) | −0.0416845 | + | 16.8004i | −0.00382121 | + | 1.54009i | ||||
\(120\) | 0.663977 | + | 0.506686i | 0.0606125 | + | 0.0462539i | ||||
\(121\) | −0.0602782 | + | 0.104405i | −0.00547984 | + | 0.00949135i | ||||
\(122\) | 0.0718479 | − | 0.124444i | 0.00650480 | − | 0.0112666i | ||||
\(123\) | −2.49666 | − | 0.321936i | −0.225116 | − | 0.0290280i | ||||
\(124\) | 8.80767 | + | 5.08511i | 0.790952 | + | 0.456656i | ||||
\(125\) | 10.2368 | 0.915605 | ||||||||
\(126\) | 0.282287 | − | 0.283895i | 0.0251481 | − | 0.0252914i | ||||
\(127\) | 2.35503 | − | 4.07903i | 0.208975 | − | 0.361956i | −0.742417 | − | 0.669938i | \(-0.766321\pi\) |
0.951392 | + | 0.307983i | \(0.0996539\pi\) | |||||||
\(128\) | − | 1.60894i | − | 0.142212i | ||||||
\(129\) | 0.460382 | − | 0.603299i | 0.0405344 | − | 0.0531175i | ||||
\(130\) | −0.433468 | + | 0.0357562i | −0.0380177 | + | 0.00313602i | ||||
\(131\) | 8.13750 | + | 14.0946i | 0.710977 | + | 1.23145i | 0.964491 | + | 0.264116i | \(0.0850802\pi\) |
−0.253514 | + | 0.967332i | \(0.581587\pi\) | |||||||
\(132\) | 9.07177 | + | 6.92274i | 0.789596 | + | 0.602547i | ||||
\(133\) | −6.61188 | + | 11.3868i | −0.573323 | + | 0.987359i | ||||
\(134\) | −0.0628601 | + | 0.0362923i | −0.00543029 | + | 0.00313518i | ||||
\(135\) | −1.72034 | − | 12.3074i | −0.148063 | − | 1.05925i | ||||
\(136\) | 1.28035i | 0.109789i | ||||||||
\(137\) | − | 8.87491i | − | 0.758235i | −0.925349 | − | 0.379118i | \(-0.876228\pi\) | ||
0.925349 | − | 0.379118i | \(-0.123772\pi\) | |||||||
\(138\) | 0.127514 | + | 0.305544i | 0.0108547 | + | 0.0260096i | ||||
\(139\) | 4.70649 | − | 2.71729i | 0.399199 | − | 0.230478i | −0.286939 | − | 0.957949i | \(-0.592638\pi\) |
0.686138 | + | 0.727471i | \(0.259304\pi\) | |||||||
\(140\) | 10.9613 | − | 6.29230i | 0.926400 | − | 0.531797i | ||||
\(141\) | 4.54309 | − | 5.95341i | 0.382597 | − | 0.501367i | ||||
\(142\) | 0.149809 | + | 0.259477i | 0.0125717 | + | 0.0217748i | ||||
\(143\) | −11.8523 | + | 0.977679i | −0.991139 | + | 0.0817576i | ||||
\(144\) | −8.40781 | + | 8.49777i | −0.700651 | + | 0.708148i | ||||
\(145\) | 5.95202i | 0.494288i | ||||||||
\(146\) | 0.139685 | − | 0.241941i | 0.0115604 | − | 0.0200232i | ||||
\(147\) | −4.61400 | − | 11.2121i | −0.380556 | − | 0.924758i | ||||
\(148\) | 10.4789 | 0.861359 | ||||||||
\(149\) | −3.21822 | − | 1.85804i | −0.263647 | − | 0.152217i | 0.362350 | − | 0.932042i | \(-0.381974\pi\) |
−0.625997 | + | 0.779825i | \(0.715308\pi\) | |||||||
\(150\) | −0.00804066 | + | 0.0623565i | −0.000656517 | + | 0.00509138i | ||||
\(151\) | 9.64969 | − | 16.7138i | 0.785280 | − | 1.36015i | −0.143551 | − | 0.989643i | \(-0.545852\pi\) |
0.928831 | − | 0.370503i | \(-0.120815\pi\) | |||||||
\(152\) | −0.501732 | + | 0.869025i | −0.0406958 | + | 0.0704872i | ||||
\(153\) | 13.3984 | − | 13.5418i | 1.08320 | − | 1.09479i | ||||
\(154\) | −0.381747 | + | 0.219141i | −0.0307621 | + | 0.0176589i | ||||
\(155\) | 12.1769i | 0.978076i | ||||||||
\(156\) | 0.572819 | − | 12.4609i | 0.0458622 | − | 0.997674i | ||||
\(157\) | −5.75610 | − | 3.32329i | −0.459387 | − | 0.265227i | 0.252400 | − | 0.967623i | \(-0.418780\pi\) |
−0.711786 | + | 0.702396i | \(0.752114\pi\) | |||||||
\(158\) | 0.203128 | − | 0.117276i | 0.0161600 | − | 0.00932996i | ||||
\(159\) | 3.00540 | − | 23.3073i | 0.238343 | − | 1.84839i | ||||
\(160\) | 1.25151 | − | 0.722557i | 0.0989402 | − | 0.0571232i | ||||
\(161\) | 10.0266 | + | 0.0248776i | 0.790206 | + | 0.00196063i | ||||
\(162\) | −0.453932 | + | 0.00483116i | −0.0356642 | + | 0.000379571i | ||||
\(163\) | −9.68893 | + | 16.7817i | −0.758896 | + | 1.31445i | 0.184519 | + | 0.982829i | \(0.440927\pi\) |
−0.943414 | + | 0.331617i | \(0.892406\pi\) | |||||||
\(164\) | −1.45153 | + | 2.51413i | −0.113346 | + | 0.196320i | ||||
\(165\) | −1.74734 | + | 13.5509i | −0.136031 | + | 1.05494i | ||||
\(166\) | − | 0.820731i | − | 0.0637011i | ||||||
\(167\) | −8.60942 | + | 14.9119i | −0.666217 | + | 1.15392i | 0.312737 | + | 0.949840i | \(0.398754\pi\) |
−0.978954 | + | 0.204081i | \(0.934579\pi\) | |||||||
\(168\) | −0.353748 | − | 0.853589i | −0.0272922 | − | 0.0658559i | ||||
\(169\) | 8.25696 | + | 10.0410i | 0.635150 | + | 0.772388i | ||||
\(170\) | −0.663376 | + | 0.383000i | −0.0508786 | + | 0.0293748i | ||||
\(171\) | 14.4007 | − | 3.94091i | 1.10125 | − | 0.301369i | ||||
\(172\) | −0.437591 | − | 0.757929i | −0.0333660 | − | 0.0577916i | ||||
\(173\) | 0.520101 | − | 0.900841i | 0.0395425 | − | 0.0684897i | −0.845577 | − | 0.533854i | \(-0.820743\pi\) |
0.885119 | + | 0.465364i | \(0.154077\pi\) | |||||||
\(174\) | 0.215641 | + | 0.0278062i | 0.0163477 | + | 0.00210798i | ||||
\(175\) | 1.64659 | + | 0.956113i | 0.124470 | + | 0.0722753i | ||||
\(176\) | 11.3824 | − | 6.57164i | 0.857981 | − | 0.495356i | ||||
\(177\) | −1.89149 | − | 4.53232i | −0.142173 | − | 0.340670i | ||||
\(178\) | − | 0.256984i | − | 0.0192618i | ||||||
\(179\) | −2.71634 | + | 1.56828i | −0.203029 | + | 0.117219i | −0.598067 | − | 0.801446i | \(-0.704065\pi\) |
0.395039 | + | 0.918665i | \(0.370731\pi\) | |||||||
\(180\) | −13.8625 | − | 3.63548i | −1.03325 | − | 0.270973i | ||||
\(181\) | 20.8722i | 1.55142i | 0.631091 | + | 0.775709i | \(0.282607\pi\) | ||||
−0.631091 | + | 0.775709i | \(0.717393\pi\) | |||||||
\(182\) | 0.434557 | + | 0.206590i | 0.0322115 | + | 0.0153135i | ||||
\(183\) | −0.631046 | + | 4.89386i | −0.0466483 | + | 0.361764i | ||||
\(184\) | 0.764120 | 0.0563317 | ||||||||
\(185\) | 6.27326 | + | 10.8656i | 0.461219 | + | 0.798855i | ||||
\(186\) | 0.441170 | + | 0.0568874i | 0.0323481 | + | 0.00417119i | ||||
\(187\) | −18.1387 | + | 10.4724i | −1.32643 | + | 0.765815i | ||||
\(188\) | −4.31818 | − | 7.47931i | −0.314936 | − | 0.545485i | ||||
\(189\) | −5.19108 | + | 12.7300i | −0.377596 | + | 0.925971i | ||||
\(190\) | −0.600348 | −0.0435538 | ||||||||
\(191\) | 21.0162 | + | 12.1337i | 1.52068 | + | 0.877966i | 0.999702 | + | 0.0243967i | \(0.00776648\pi\) |
0.520979 | + | 0.853569i | \(0.325567\pi\) | |||||||
\(192\) | 5.29597 | + | 12.6900i | 0.382204 | + | 0.915822i | ||||
\(193\) | −0.774391 | − | 1.34128i | −0.0557419 | − | 0.0965478i | 0.836808 | − | 0.547497i | \(-0.184419\pi\) |
−0.892550 | + | 0.450949i | \(0.851086\pi\) | |||||||
\(194\) | −0.321940 | − | 0.557617i | −0.0231140 | − | 0.0400346i | ||||
\(195\) | 13.2637 | − | 6.86587i | 0.949836 | − | 0.491676i | ||||
\(196\) | −13.9820 | − | 0.0693838i | −0.998716 | − | 0.00495598i | ||||
\(197\) | −18.2395 | − | 10.5306i | −1.29951 | − | 0.750273i | −0.319191 | − | 0.947690i | \(-0.603411\pi\) |
−0.980319 | + | 0.197418i | \(0.936744\pi\) | |||||||
\(198\) | 0.482785 | + | 0.126612i | 0.0343100 | + | 0.00899794i | ||||
\(199\) | 20.0628i | 1.42221i | 0.703085 | + | 0.711106i | \(0.251805\pi\) | ||||
−0.703085 | + | 0.711106i | \(0.748195\pi\) | |||||||
\(200\) | 0.125666 | + | 0.0725530i | 0.00888589 | + | 0.00513027i | ||||
\(201\) | 1.51206 | − | 1.98145i | 0.106653 | − | 0.139761i | ||||
\(202\) | −0.672766 | + | 0.388422i | −0.0473357 | + | 0.0273293i | ||||
\(203\) | 3.30643 | − | 5.69423i | 0.232066 | − | 0.399656i | ||||
\(204\) | −8.46112 | − | 20.2742i | −0.592397 | − | 1.41948i | ||||
\(205\) | −3.47588 | −0.242766 | ||||||||
\(206\) | 0.243315 | + | 0.421435i | 0.0169526 | + | 0.0293628i | ||||
\(207\) | −8.08184 | − | 7.99629i | −0.561727 | − | 0.555780i | ||||
\(208\) | −12.9908 | − | 6.13640i | −0.900749 | − | 0.425483i | ||||
\(209\) | −16.4153 | −1.13547 | ||||||||
\(210\) | 0.336444 | − | 0.438626i | 0.0232169 | − | 0.0302680i | ||||
\(211\) | −9.09366 | + | 15.7507i | −0.626033 | + | 1.08432i | 0.362307 | + | 0.932059i | \(0.381989\pi\) |
−0.988340 | + | 0.152263i | \(0.951344\pi\) | |||||||
\(212\) | −23.4704 | − | 13.5506i | −1.61195 | − | 0.930660i | ||||
\(213\) | −8.17913 | − | 6.24156i | −0.560425 | − | 0.427665i | ||||
\(214\) | 0.807008 | 0.0551659 | ||||||||
\(215\) | 0.523933 | − | 0.907479i | 0.0357320 | − | 0.0618896i | ||||
\(216\) | −0.393200 | + | 0.971121i | −0.0267539 | + | 0.0660764i | ||||
\(217\) | 6.76446 | − | 11.6495i | 0.459202 | − | 0.790823i | ||||
\(218\) | 0.117146 | + | 0.0676341i | 0.00793410 | + | 0.00458076i | ||||
\(219\) | −1.22686 | + | 9.51450i | −0.0829037 | + | 0.642930i | ||||
\(220\) | 13.6457 | + | 7.87836i | 0.919994 | + | 0.531159i | ||||
\(221\) | 20.7017 | + | 9.77879i | 1.39255 | + | 0.657792i | ||||
\(222\) | 0.422967 | − | 0.176519i | 0.0283877 | − | 0.0118471i | ||||
\(223\) | −21.7090 | − | 12.5337i | −1.45374 | − | 0.839320i | −0.455053 | − | 0.890464i | \(-0.650380\pi\) |
−0.998691 | + | 0.0511442i | \(0.983713\pi\) | |||||||
\(224\) | −1.59869 | − | 0.00396661i | −0.106817 | − | 0.000265031i | ||||
\(225\) | −0.569876 | − | 2.08242i | −0.0379918 | − | 0.138828i | ||||
\(226\) | 0.0463076 | + | 0.0802072i | 0.00308034 | + | 0.00533530i | ||||
\(227\) | 5.62046 | 0.373043 | 0.186522 | − | 0.982451i | \(-0.440279\pi\) | ||||
0.186522 | + | 0.982451i | \(0.440279\pi\) | |||||||
\(228\) | 2.20197 | − | 17.0766i | 0.145829 | − | 1.13093i | ||||
\(229\) | −12.7089 | + | 7.33749i | −0.839828 | + | 0.484875i | −0.857206 | − | 0.514974i | \(-0.827802\pi\) |
0.0173777 | + | 0.999849i | \(0.494468\pi\) | |||||||
\(230\) | 0.228577 | + | 0.395908i | 0.0150720 | + | 0.0261054i | ||||
\(231\) | 9.19938 | − | 11.9933i | 0.605275 | − | 0.789103i | ||||
\(232\) | 0.250903 | − | 0.434576i | 0.0164726 | − | 0.0285313i | ||||
\(233\) | 12.2033 | − | 7.04557i | 0.799464 | − | 0.461571i | −0.0438198 | − | 0.999039i | \(-0.513953\pi\) |
0.843284 | + | 0.537469i | \(0.180619\pi\) | |||||||
\(234\) | −0.186785 | − | 0.512619i | −0.0122105 | − | 0.0335110i | ||||
\(235\) | 5.17022 | − | 8.95509i | 0.337268 | − | 0.584165i | ||||
\(236\) | −5.66372 | −0.368677 | ||||||||
\(237\) | −4.88611 | + | 6.40291i | −0.317387 | + | 0.415913i | ||||
\(238\) | 0.847406 | + | 0.00210255i | 0.0549292 | + | 0.000136288i | ||||
\(239\) | − | 23.9806i | − | 1.55117i | −0.631241 | − | 0.775587i | \(-0.717454\pi\) | ||
0.631241 | − | 0.775587i | \(-0.282546\pi\) | |||||||
\(240\) | −10.0134 | + | 13.1219i | −0.646364 | + | 0.847015i | ||||
\(241\) | − | 15.5732i | − | 1.00316i | −0.865112 | − | 0.501578i | \(-0.832753\pi\) | ||
0.865112 | − | 0.501578i | \(-0.167247\pi\) | |||||||
\(242\) | 0.00526615 | + | 0.00304042i | 0.000338521 | + | 0.000195445i | ||||
\(243\) | 14.3212 | − | 6.15650i | 0.918707 | − | 0.394940i | ||||
\(244\) | 4.92810 | + | 2.84524i | 0.315489 | + | 0.182148i | ||||
\(245\) | −8.29849 | − | 14.5396i | −0.530171 | − | 0.928898i | ||||
\(246\) | −0.0162384 | + | 0.125931i | −0.00103532 | + | 0.00802905i | ||||
\(247\) | 10.2191 | + | 14.7497i | 0.650226 | + | 0.938501i | ||||
\(248\) | 0.513310 | − | 0.889079i | 0.0325952 | − | 0.0564566i | ||||
\(249\) | 10.8544 | + | 26.0090i | 0.687872 | + | 1.64825i | ||||
\(250\) | − | 0.516340i | − | 0.0326562i | ||||||
\(251\) | −5.82685 | − | 10.0924i | −0.367788 | − | 0.637027i | 0.621432 | − | 0.783468i | \(-0.286551\pi\) |
−0.989219 | + | 0.146441i | \(0.953218\pi\) | |||||||
\(252\) | 11.2425 | + | 11.1788i | 0.708210 | + | 0.704199i | ||||
\(253\) | 6.24998 | + | 10.8253i | 0.392933 | + | 0.680580i | ||||
\(254\) | −0.205745 | − | 0.118787i | −0.0129096 | − | 0.00745337i | ||||
\(255\) | 15.9571 | − | 20.9107i | 0.999273 | − | 1.30948i | ||||
\(256\) | 15.7969 | 0.987303 | ||||||||
\(257\) | 0.0170368 | 0.00106273 | 0.000531363 | − | 1.00000i | \(-0.499831\pi\) | ||||
0.000531363 | 1.00000i | \(0.499831\pi\) | ||||||||
\(258\) | −0.0304302 | − | 0.0232216i | −0.00189450 | − | 0.00144571i | ||||
\(259\) | 0.0344383 | − | 13.8799i | 0.00213989 | − | 0.862454i | ||||
\(260\) | −1.41597 | − | 17.1657i | −0.0878150 | − | 1.06457i | ||||
\(261\) | −7.20142 | + | 1.97075i | −0.445757 | + | 0.121986i | ||||
\(262\) | 0.710926 | − | 0.410453i | 0.0439211 | − | 0.0253579i | ||||
\(263\) | −9.56050 | + | 5.51976i | −0.589526 | + | 0.340363i | −0.764910 | − | 0.644137i | \(-0.777217\pi\) |
0.175384 | + | 0.984500i | \(0.443883\pi\) | |||||||
\(264\) | 0.698807 | − | 0.915738i | 0.0430086 | − | 0.0563598i | ||||
\(265\) | − | 32.4487i | − | 1.99331i | ||||||
\(266\) | 0.574346 | + | 0.333502i | 0.0352154 | + | 0.0204483i | ||||
\(267\) | 3.39871 | + | 8.14385i | 0.207997 | + | 0.498395i | ||||
\(268\) | −1.43721 | − | 2.48931i | −0.0877914 | − | 0.152059i | ||||
\(269\) | −15.0187 | −0.915703 | −0.457852 | − | 0.889029i | \(-0.651381\pi\) | ||||
−0.457852 | + | 0.889029i | \(0.651381\pi\) | |||||||
\(270\) | −0.620780 | + | 0.0867736i | −0.0377795 | + | 0.00528087i | ||||
\(271\) | 13.2624i | 0.805634i | 0.915280 | + | 0.402817i | \(0.131969\pi\) | ||||
−0.915280 | + | 0.402817i | \(0.868031\pi\) | |||||||
\(272\) | −25.3030 | −1.53422 | ||||||||
\(273\) | −16.5033 | − | 0.799684i | −0.998828 | − | 0.0483991i | ||||
\(274\) | −0.447648 | −0.0270434 | ||||||||
\(275\) | 2.37374i | 0.143142i | ||||||||
\(276\) | −12.0998 | + | 5.04966i | −0.728322 | + | 0.303954i | ||||
\(277\) | −23.0286 | −1.38365 | −0.691826 | − | 0.722064i | \(-0.743194\pi\) | ||||
−0.691826 | + | 0.722064i | \(0.743194\pi\) | |||||||
\(278\) | −0.137060 | − | 0.237394i | −0.00822028 | − | 0.0142379i | ||||
\(279\) | −14.7330 | + | 4.03185i | −0.882044 | + | 0.241381i | ||||
\(280\) | −0.635168 | − | 1.10647i | −0.0379586 | − | 0.0661245i | ||||
\(281\) | − | 11.1312i | − | 0.664031i | −0.943274 | − | 0.332016i | \(-0.892271\pi\) | ||
0.943274 | − | 0.332016i | \(-0.107729\pi\) | |||||||
\(282\) | −0.300288 | − | 0.229152i | −0.0178819 | − | 0.0136458i | ||||
\(283\) | 18.7447 | − | 10.8223i | 1.11426 | − | 0.643317i | 0.174328 | − | 0.984688i | \(-0.444225\pi\) |
0.939929 | + | 0.341371i | \(0.110891\pi\) | |||||||
\(284\) | −10.2755 | + | 5.93257i | −0.609739 | + | 0.352033i | ||||
\(285\) | 19.0251 | − | 7.93980i | 1.12695 | − | 0.470313i | ||||
\(286\) | 0.0493139 | + | 0.597826i | 0.00291599 | + | 0.0353502i | ||||
\(287\) | 3.32533 | + | 1.93090i | 0.196288 | + | 0.113977i | ||||
\(288\) | 1.28861 | + | 1.27497i | 0.0759321 | + | 0.0751283i | ||||
\(289\) | 23.3221 | 1.37189 | ||||||||
\(290\) | 0.300218 | 0.0176294 | ||||||||
\(291\) | 17.5770 | + | 13.4131i | 1.03038 | + | 0.786292i | ||||
\(292\) | 9.58107 | + | 5.53163i | 0.560690 | + | 0.323714i | ||||
\(293\) | 2.12989 | + | 3.68908i | 0.124430 | + | 0.215519i | 0.921510 | − | 0.388355i | \(-0.126957\pi\) |
−0.797080 | + | 0.603874i | \(0.793623\pi\) | |||||||
\(294\) | −0.565535 | + | 0.232729i | −0.0329827 | + | 0.0135730i | ||||
\(295\) | −3.39063 | − | 5.87274i | −0.197410 | − | 0.341924i | ||||
\(296\) | − | 1.05778i | − | 0.0614821i | ||||||
\(297\) | −16.9740 | + | 2.37265i | −0.984929 | + | 0.137675i | ||||
\(298\) | −0.0937191 | + | 0.162326i | −0.00542900 | + | 0.00940331i | ||||
\(299\) | 5.83605 | − | 12.3550i | 0.337508 | − | 0.714505i | ||||
\(300\) | −2.46937 | − | 0.318417i | −0.142569 | − | 0.0183838i | ||||
\(301\) | −1.00536 | + | 0.577123i | −0.0579479 | + | 0.0332648i | ||||
\(302\) | −0.843037 | − | 0.486728i | −0.0485113 | − | 0.0280080i | ||||
\(303\) | 16.1830 | − | 21.2067i | 0.929688 | − | 1.21829i | ||||
\(304\) | −17.1742 | − | 9.91552i | −0.985007 | − | 0.568694i | ||||
\(305\) | 6.81329i | 0.390128i | ||||||||
\(306\) | −0.683045 | − | 0.675814i | −0.0390471 | − | 0.0386337i | ||||
\(307\) | 23.3540i | 1.33288i | 0.745557 | + | 0.666441i | \(0.232183\pi\) | ||||
−0.745557 | + | 0.666441i | \(0.767817\pi\) | |||||||
\(308\) | −8.67816 | − | 15.1175i | −0.494484 | − | 0.861401i | ||||
\(309\) | −13.2843 | − | 10.1374i | −0.755717 | − | 0.576694i | ||||
\(310\) | 0.614202 | 0.0348843 | ||||||||
\(311\) | 10.9226 | − | 18.9184i | 0.619362 | − | 1.07277i | −0.370241 | − | 0.928936i | \(-0.620725\pi\) |
0.989602 | − | 0.143830i | \(-0.0459418\pi\) | |||||||
\(312\) | −1.25785 | − | 0.0578225i | −0.0712120 | − | 0.00327355i | ||||
\(313\) | 11.2662 | − | 6.50456i | 0.636804 | − | 0.367659i | −0.146578 | − | 0.989199i | \(-0.546826\pi\) |
0.783383 | + | 0.621540i | \(0.213493\pi\) | |||||||
\(314\) | −0.167626 | + | 0.290336i | −0.00945966 | + | 0.0163846i | ||||
\(315\) | −4.86096 | + | 18.3497i | −0.273884 | + | 1.03389i | ||||
\(316\) | 4.64422 | + | 8.04403i | 0.261258 | + | 0.452512i | ||||
\(317\) | −18.4310 | + | 10.6412i | −1.03519 | + | 0.597667i | −0.918467 | − | 0.395497i | \(-0.870572\pi\) |
−0.116723 | + | 0.993165i | \(0.537239\pi\) | |||||||
\(318\) | −1.17561 | − | 0.151591i | −0.0659251 | − | 0.00850082i | ||||
\(319\) | 8.20885 | 0.459607 | ||||||||
\(320\) | 9.49339 | + | 16.4430i | 0.530697 | + | 0.919193i | ||||
\(321\) | −25.5741 | + | 10.6730i | −1.42741 | + | 0.595706i | ||||
\(322\) | 0.00125482 | − | 0.505738i | 6.99283e−5 | − | 0.0281837i | ||||
\(323\) | 27.3683 | + | 15.8011i | 1.52281 | + | 0.879195i | ||||
\(324\) | −0.191318 | − | 17.9761i | −0.0106288 | − | 0.998671i | ||||
\(325\) | 2.13288 | − | 1.47774i | 0.118311 | − | 0.0819700i | ||||
\(326\) | 0.846465 | + | 0.488707i | 0.0468814 | + | 0.0270670i | ||||
\(327\) | −4.60683 | − | 0.594036i | −0.254758 | − | 0.0328503i | ||||
\(328\) | 0.253785 | + | 0.146523i | 0.0140129 | + | 0.00809038i | ||||
\(329\) | −9.92097 | + | 5.69510i | −0.546961 | + | 0.313981i | ||||
\(330\) | 0.683504 | + | 0.0881356i | 0.0376257 | + | 0.00485170i | ||||
\(331\) | 3.39537 | − | 5.88095i | 0.186626 | − | 0.323246i | −0.757497 | − | 0.652839i | \(-0.773578\pi\) |
0.944123 | + | 0.329592i | \(0.106911\pi\) | |||||||
\(332\) | 32.5016 | 1.78376 | ||||||||
\(333\) | −11.0693 | + | 11.1878i | −0.606595 | + | 0.613085i | ||||
\(334\) | 0.752154 | + | 0.434257i | 0.0411561 | + | 0.0237615i | ||||
\(335\) | 1.72079 | − | 2.98049i | 0.0940167 | − | 0.162842i | ||||
\(336\) | 16.8691 | − | 6.99097i | 0.920287 | − | 0.381389i | ||||
\(337\) | −27.2006 | −1.48171 | −0.740854 | − | 0.671666i | \(-0.765579\pi\) | ||||
−0.740854 | + | 0.671666i | \(0.765579\pi\) | |||||||
\(338\) | 0.506468 | − | 0.416479i | 0.0275482 | − | 0.0226534i | ||||
\(339\) | −2.52826 | − | 1.92934i | −0.137316 | − | 0.104787i | ||||
\(340\) | −15.1671 | − | 26.2703i | −0.822554 | − | 1.42471i | ||||
\(341\) | 16.7941 | 0.909451 | ||||||||
\(342\) | −0.198779 | − | 0.726369i | −0.0107487 | − | 0.0392775i | ||||
\(343\) | −0.137854 | + | 18.5197i | −0.00744340 | + | 0.999972i | ||||
\(344\) | −0.0765082 | + | 0.0441720i | −0.00412505 | + | 0.00238160i | ||||
\(345\) | −12.4796 | − | 9.52332i | −0.671881 | − | 0.512718i | ||||
\(346\) | −0.0454382 | − | 0.0262337i | −0.00244277 | − | 0.00141033i | ||||
\(347\) | 26.4068i | 1.41759i | 0.705413 | + | 0.708796i | \(0.250761\pi\) | ||||
−0.705413 | + | 0.708796i | \(0.749239\pi\) | |||||||
\(348\) | −1.10115 | + | 8.53957i | −0.0590278 | + | 0.457769i | ||||
\(349\) | −5.26120 | − | 3.03756i | −0.281626 | − | 0.162597i | 0.352533 | − | 0.935799i | \(-0.385320\pi\) |
−0.634159 | + | 0.773203i | \(0.718654\pi\) | |||||||
\(350\) | 0.0482261 | − | 0.0830534i | 0.00257779 | − | 0.00443939i | ||||
\(351\) | 12.6988 | + | 13.7746i | 0.677812 | + | 0.735235i | ||||
\(352\) | −0.996530 | − | 1.72604i | −0.0531152 | − | 0.0919983i | ||||
\(353\) | 12.6092 | + | 21.8397i | 0.671118 | + | 1.16241i | 0.977587 | + | 0.210530i | \(0.0675190\pi\) |
−0.306469 | + | 0.951881i | \(0.599148\pi\) | |||||||
\(354\) | −0.228609 | + | 0.0954063i | −0.0121504 | + | 0.00507079i | ||||
\(355\) | −12.3030 | − | 7.10315i | −0.652976 | − | 0.376996i | ||||
\(356\) | 10.1768 | 0.539369 | ||||||||
\(357\) | −26.8822 | + | 11.1406i | −1.42275 | + | 0.589623i | ||||
\(358\) | 0.0791036 | + | 0.137011i | 0.00418076 | + | 0.00724128i | ||||
\(359\) | −11.9864 | + | 6.92033i | −0.632616 | + | 0.365241i | −0.781764 | − | 0.623574i | \(-0.785680\pi\) |
0.149149 | + | 0.988815i | \(0.452347\pi\) | |||||||
\(360\) | −0.366979 | + | 1.39933i | −0.0193415 | + | 0.0737510i | ||||
\(361\) | 2.88398 | + | 4.99520i | 0.151789 | + | 0.262905i | ||||
\(362\) | 1.05279 | 0.0553333 | ||||||||
\(363\) | −0.207095 | − | 0.0267042i | −0.0108697 | − | 0.00140161i | ||||
\(364\) | −8.18114 | + | 17.2088i | −0.428808 | + | 0.901987i | ||||
\(365\) | 13.2462i | 0.693338i | ||||||||
\(366\) | 0.246845 | + | 0.0318298i | 0.0129028 | + | 0.00166377i | ||||
\(367\) | 17.1610 | − | 9.90789i | 0.895795 | − | 0.517188i | 0.0199617 | − | 0.999801i | \(-0.493646\pi\) |
0.875834 | + | 0.482613i | \(0.160312\pi\) | |||||||
\(368\) | 15.1010i | 0.787194i | ||||||||
\(369\) | −1.15088 | − | 4.20551i | −0.0599126 | − | 0.218930i | ||||
\(370\) | 0.548058 | − | 0.316422i | 0.0284922 | − | 0.0164500i | ||||
\(371\) | −18.0257 | + | 31.0433i | −0.935847 | + | 1.61169i | ||||
\(372\) | −2.25279 | + | 17.4707i | −0.116802 | + | 0.905813i | ||||
\(373\) | 8.78317 | − | 15.2129i | 0.454775 | − | 0.787694i | −0.543900 | − | 0.839150i | \(-0.683053\pi\) |
0.998675 | + | 0.0514563i | \(0.0163863\pi\) | |||||||
\(374\) | 0.528223 | + | 0.914909i | 0.0273138 | + | 0.0473088i | ||||
\(375\) | 6.82877 | + | 16.3628i | 0.352636 | + | 0.844974i | ||||
\(376\) | −0.754990 | + | 0.435893i | −0.0389356 | + | 0.0224795i | ||||
\(377\) | −5.11030 | − | 7.37593i | −0.263194 | − | 0.379880i | ||||
\(378\) | 0.642097 | + | 0.261837i | 0.0330259 | + | 0.0134674i | ||||
\(379\) | 9.24290 | − | 16.0092i | 0.474776 | − | 0.822336i | −0.524807 | − | 0.851221i | \(-0.675862\pi\) |
0.999583 | + | 0.0288853i | \(0.00919576\pi\) | |||||||
\(380\) | − | 23.7743i | − | 1.21960i | ||||||
\(381\) | 8.09108 | + | 1.04332i | 0.414519 | + | 0.0534508i | ||||
\(382\) | 0.612022 | − | 1.06005i | 0.0313138 | − | 0.0542370i | ||||
\(383\) | 1.58258 | − | 2.74110i | 0.0808659 | − | 0.140064i | −0.822756 | − | 0.568394i | \(-0.807565\pi\) |
0.903622 | + | 0.428331i | \(0.140898\pi\) | |||||||
\(384\) | 2.57179 | − | 1.07330i | 0.131241 | − | 0.0547714i | ||||
\(385\) | 10.4802 | − | 18.0486i | 0.534119 | − | 0.919843i | ||||
\(386\) | −0.0676540 | + | 0.0390601i | −0.00344350 | + | 0.00198811i | ||||
\(387\) | 1.27145 | + | 0.333442i | 0.0646313 | + | 0.0169498i | ||||
\(388\) | 22.0821 | − | 12.7491i | 1.12105 | − | 0.647238i | ||||
\(389\) | 13.6079 | + | 7.85653i | 0.689949 | + | 0.398342i | 0.803593 | − | 0.595179i | \(-0.202919\pi\) |
−0.113644 | + | 0.993522i | \(0.536252\pi\) | |||||||
\(390\) | −0.346313 | − | 0.669019i | −0.0175362 | − | 0.0338771i | ||||
\(391\) | − | 24.0645i | − | 1.21699i | ||||||
\(392\) | −0.00700385 | + | 1.41140i | −0.000353748 | + | 0.0712863i | ||||
\(393\) | −17.1009 | + | 22.4095i | −0.862626 | + | 1.13041i | ||||
\(394\) | −0.531159 | + | 0.919995i | −0.0267594 | + | 0.0463487i | ||||
\(395\) | −5.56059 | + | 9.63122i | −0.279784 | + | 0.484599i | ||||
\(396\) | −5.01395 | + | 19.1187i | −0.251961 | + | 0.960750i | ||||
\(397\) | 15.0351 | + | 8.68055i | 0.754593 | + | 0.435664i | 0.827351 | − | 0.561685i | \(-0.189847\pi\) |
−0.0727584 | + | 0.997350i | \(0.523180\pi\) | |||||||
\(398\) | 1.01196 | 0.0507250 | ||||||||
\(399\) | −22.6117 | − | 2.97276i | −1.13200 | − | 0.148824i | ||||
\(400\) | −1.43384 | + | 2.48348i | −0.0716918 | + | 0.124174i | ||||
\(401\) | − | 6.92669i | − | 0.345902i | −0.984930 | − | 0.172951i | \(-0.944670\pi\) | ||
0.984930 | − | 0.172951i | \(-0.0553303\pi\) | |||||||
\(402\) | −0.0999439 | − | 0.0762680i | −0.00498475 | − | 0.00380390i | ||||
\(403\) | −10.4549 | − | 15.0901i | −0.520797 | − | 0.751690i | ||||
\(404\) | −15.3818 | − | 26.6421i | −0.765275 | − | 1.32550i | ||||
\(405\) | 18.5249 | − | 10.9599i | 0.920512 | − | 0.544601i | ||||
\(406\) | −0.287215 | − | 0.166775i | −0.0142543 | − | 0.00827692i | ||||
\(407\) | 14.9855 | − | 8.65190i | 0.742805 | − | 0.428859i | ||||
\(408\) | −2.04655 | + | 0.854097i | −0.101320 | + | 0.0422841i | ||||
\(409\) | − | 3.78042i | − | 0.186930i | −0.995623 | − | 0.0934648i | \(-0.970206\pi\) | ||
0.995623 | − | 0.0934648i | \(-0.0297943\pi\) | |||||||
\(410\) | 0.175322i | 0.00865856i | ||||||||
\(411\) | 14.1860 | − | 5.92030i | 0.699743 | − | 0.292027i | ||||
\(412\) | −16.6892 | + | 9.63550i | −0.822217 | + | 0.474707i | ||||
\(413\) | −0.0186135 | + | 7.50192i | −0.000915910 | + | 0.369145i | ||||
\(414\) | −0.403331 | + | 0.407646i | −0.0198226 | + | 0.0200347i | ||||
\(415\) | 19.4573 | + | 33.7011i | 0.955123 | + | 1.65432i | ||||
\(416\) | −0.930530 | + | 1.96994i | −0.0456230 | + | 0.0965841i | ||||
\(417\) | 7.48304 | + | 5.71037i | 0.366446 | + | 0.279638i | ||||
\(418\) | 0.827983i | 0.0404980i | ||||||||
\(419\) | 12.6236 | − | 21.8647i | 0.616703 | − | 1.06816i | −0.373380 | − | 0.927678i | \(-0.621801\pi\) |
0.990083 | − | 0.140483i | \(-0.0448654\pi\) | |||||||
\(420\) | 17.3699 | + | 13.3235i | 0.847567 | + | 0.650119i | ||||
\(421\) | 18.4740 | 0.900367 | 0.450184 | − | 0.892936i | \(-0.351358\pi\) | ||||
0.450184 | + | 0.892936i | \(0.351358\pi\) | |||||||
\(422\) | 0.794460 | + | 0.458682i | 0.0386737 | + | 0.0223283i | ||||
\(423\) | 12.5468 | + | 3.29044i | 0.610044 | + | 0.159987i | ||||
\(424\) | −1.36785 | + | 2.36918i | −0.0664286 | + | 0.115058i | ||||
\(425\) | 2.28492 | − | 3.95759i | 0.110835 | − | 0.191971i | ||||
\(426\) | −0.314823 | + | 0.412553i | −0.0152532 | + | 0.0199883i | ||||
\(427\) | 3.78487 | − | 6.51819i | 0.183163 | − | 0.315437i | ||||
\(428\) | 31.9582i | 1.54476i | ||||||||
\(429\) | −9.46922 | − | 18.2930i | −0.457178 | − | 0.883192i | ||||
\(430\) | −0.0457730 | − | 0.0264271i | −0.00220737 | − | 0.00127443i | ||||
\(431\) | 26.5875 | − | 15.3503i | 1.28067 | − | 0.739397i | 0.303701 | − | 0.952767i | \(-0.401778\pi\) |
0.976971 | + | 0.213371i | \(0.0684442\pi\) | |||||||
\(432\) | −19.1919 | − | 7.77065i | −0.923369 | − | 0.373865i | ||||
\(433\) | −5.40561 | + | 3.12093i | −0.259777 | + | 0.149982i | −0.624233 | − | 0.781238i | \(-0.714588\pi\) |
0.364456 | + | 0.931221i | \(0.381255\pi\) | |||||||
\(434\) | −0.587600 | − | 0.341198i | −0.0282057 | − | 0.0163780i | ||||
\(435\) | −9.51393 | + | 3.97049i | −0.456158 | + | 0.190370i | ||||
\(436\) | −2.67837 | + | 4.63907i | −0.128270 | + | 0.222171i | ||||
\(437\) | 9.43019 | − | 16.3336i | 0.451107 | − | 0.781341i | ||||
\(438\) | 0.479909 | + | 0.0618826i | 0.0229309 | + | 0.00295687i | ||||
\(439\) | 5.95015i | 0.283985i | 0.989868 | + | 0.141993i | \(0.0453509\pi\) | ||||
−0.989868 | + | 0.141993i | \(0.954649\pi\) | |||||||
\(440\) | 0.795271 | − | 1.37745i | 0.0379130 | − | 0.0656673i | ||||
\(441\) | 14.8439 | − | 14.8546i | 0.706853 | − | 0.707361i | ||||
\(442\) | 0.493239 | − | 1.04419i | 0.0234610 | − | 0.0496671i | ||||
\(443\) | −6.56417 | + | 3.78983i | −0.311873 | + | 0.180060i | −0.647764 | − | 0.761841i | \(-0.724296\pi\) |
0.335891 | + | 0.941901i | \(0.390963\pi\) | |||||||
\(444\) | 6.99028 | + | 16.7498i | 0.331744 | + | 0.794913i | ||||
\(445\) | 6.09241 | + | 10.5524i | 0.288808 | + | 0.500230i | ||||
\(446\) | −0.632197 | + | 1.09500i | −0.0299354 | + | 0.0518497i | ||||
\(447\) | 0.823143 | − | 6.38359i | 0.0389333 | − | 0.301934i | ||||
\(448\) | 0.0521158 | − | 21.0046i | 0.00246224 | − | 0.992373i | ||||
\(449\) | −31.9151 | + | 18.4262i | −1.50617 | + | 0.869586i | −0.506192 | + | 0.862421i | \(0.668947\pi\) |
−0.999974 | + | 0.00716492i | \(0.997719\pi\) | |||||||
\(450\) | −0.105037 | + | 0.0287444i | −0.00495148 | + | 0.00135502i | ||||
\(451\) | 4.79383i | 0.225733i | ||||||||
\(452\) | −3.17627 | + | 1.83382i | −0.149399 | + | 0.0862557i | ||||
\(453\) | 33.1530 | + | 4.27497i | 1.55766 | + | 0.200856i | ||||
\(454\) | − | 0.283495i | − | 0.0133051i | ||||||
\(455\) | −22.7416 | + | 1.81912i | −1.06614 | + | 0.0852818i | ||||
\(456\) | −1.72378 | − | 0.222275i | −0.0807233 | − | 0.0104090i | ||||
\(457\) | −15.2305 | −0.712451 | −0.356226 | − | 0.934400i | \(-0.615937\pi\) | ||||
−0.356226 | + | 0.934400i | \(0.615937\pi\) | |||||||
\(458\) | 0.370101 | + | 0.641034i | 0.0172937 | + | 0.0299535i | ||||
\(459\) | 30.5836 | + | 12.3831i | 1.42752 | + | 0.577992i | ||||
\(460\) | −15.6783 | + | 9.05186i | −0.731004 | + | 0.422045i | ||||
\(461\) | −6.56203 | − | 11.3658i | −0.305624 | − | 0.529356i | 0.671776 | − | 0.740754i | \(-0.265532\pi\) |
−0.977400 | + | 0.211398i | \(0.932198\pi\) | |||||||
\(462\) | −0.604940 | − | 0.464014i | −0.0281443 | − | 0.0215879i | ||||
\(463\) | −4.01885 | −0.186772 | −0.0933859 | − | 0.995630i | \(-0.529769\pi\) | ||||
−0.0933859 | + | 0.995630i | \(0.529769\pi\) | |||||||
\(464\) | 8.58835 | + | 4.95849i | 0.398704 | + | 0.230192i | ||||
\(465\) | −19.4641 | + | 8.12303i | −0.902625 | + | 0.376696i | ||||
\(466\) | −0.355377 | − | 0.615530i | −0.0164625 | − | 0.0285139i | ||||
\(467\) | −3.22927 | − | 5.59327i | −0.149433 | − | 0.258825i | 0.781585 | − | 0.623799i | \(-0.214411\pi\) |
−0.931018 | + | 0.364973i | \(0.881078\pi\) | |||||||
\(468\) | 20.3002 | − | 7.39686i | 0.938375 | − | 0.341920i | ||||
\(469\) | −3.30196 | + | 1.89548i | −0.152470 | + | 0.0875251i | ||||
\(470\) | −0.451692 | − | 0.260785i | −0.0208350 | − | 0.0120291i | ||||
\(471\) | 1.47227 | − | 11.4177i | 0.0678387 | − | 0.526098i | ||||
\(472\) | 0.571717i | 0.0263154i | ||||||||
\(473\) | −1.25157 | − | 0.722594i | −0.0575472 | − | 0.0332249i | ||||
\(474\) | 0.322961 | + | 0.246454i | 0.0148341 | + | 0.0113200i | ||||
\(475\) | 3.10174 | − | 1.79079i | 0.142317 | − | 0.0821670i | ||||
\(476\) | −0.0832629 | + | 33.5580i | −0.00381635 | + | 1.53813i | ||||
\(477\) | 39.2601 | − | 10.7439i | 1.79760 | − | 0.491931i | ||||
\(478\) | −1.20957 | −0.0553246 | ||||||||
\(479\) | −12.0197 | − | 20.8188i | −0.549195 | − | 0.951233i | −0.998330 | − | 0.0577693i | \(-0.981601\pi\) |
0.449135 | − | 0.893464i | \(-0.351732\pi\) | |||||||
\(480\) | 1.98982 | + | 1.51845i | 0.0908224 | + | 0.0693073i | ||||
\(481\) | −17.1031 | − | 8.07889i | −0.779832 | − | 0.368366i | ||||
\(482\) | −0.785506 | −0.0357788 | ||||||||
\(483\) | 6.64879 | + | 16.0435i | 0.302531 | + | 0.730003i | ||||
\(484\) | −0.120403 | + | 0.208544i | −0.00547286 | + | 0.00947928i | ||||
\(485\) | 26.4392 | + | 15.2647i | 1.20054 | + | 0.693134i | ||||
\(486\) | −0.310532 | − | 0.722359i | −0.0140860 | − | 0.0327669i | ||||
\(487\) | 11.1262 | 0.504177 | 0.252088 | − | 0.967704i | \(-0.418883\pi\) | ||||
0.252088 | + | 0.967704i | \(0.418883\pi\) | |||||||
\(488\) | 0.287209 | − | 0.497460i | 0.0130013 | − | 0.0225190i | ||||
\(489\) | −33.2878 | − | 4.29236i | −1.50533 | − | 0.194107i | ||||
\(490\) | −0.733371 | + | 0.418573i | −0.0331303 | + | 0.0189092i | ||||
\(491\) | 0.596057 | + | 0.344134i | 0.0268997 | + | 0.0155305i | 0.513390 | − | 0.858156i | \(-0.328390\pi\) |
−0.486490 | + | 0.873686i | \(0.661723\pi\) | |||||||
\(492\) | −4.98697 | − | 0.643053i | −0.224830 | − | 0.0289911i | ||||
\(493\) | −13.6861 | − | 7.90170i | −0.616393 | − | 0.355875i | ||||
\(494\) | 0.743970 | − | 0.515449i | 0.0334728 | − | 0.0231911i | ||||
\(495\) | −22.8259 | + | 6.24655i | −1.02595 | + | 0.280762i | ||||
\(496\) | 17.5705 | + | 10.1443i | 0.788939 | + | 0.455494i | ||||
\(497\) | 7.82425 | + | 13.6300i | 0.350966 | + | 0.611389i | ||||
\(498\) | 1.31189 | − | 0.547495i | 0.0587870 | − | 0.0245338i | ||||
\(499\) | 7.85879 | + | 13.6118i | 0.351808 | + | 0.609349i | 0.986566 | − | 0.163362i | \(-0.0522338\pi\) |
−0.634759 | + | 0.772711i | \(0.718900\pi\) | |||||||
\(500\) | 20.4475 | 0.914440 | ||||||||
\(501\) | −29.5790 | − | 3.81411i | −1.32149 | − | 0.170402i | ||||
\(502\) | −0.509058 | + | 0.293905i | −0.0227204 | + | 0.0131176i | ||||
\(503\) | −4.12748 | − | 7.14901i | −0.184035 | − | 0.318758i | 0.759216 | − | 0.650839i | \(-0.225583\pi\) |
−0.943251 | + | 0.332081i | \(0.892249\pi\) | |||||||
\(504\) | 1.12843 | − | 1.13486i | 0.0502643 | − | 0.0505506i | ||||
\(505\) | 18.4169 | − | 31.8990i | 0.819541 | − | 1.41949i | ||||
\(506\) | 0.546025 | − | 0.315247i | 0.0242738 | − | 0.0140145i | ||||
\(507\) | −10.5419 | + | 19.8964i | −0.468183 | + | 0.883632i | ||||
\(508\) | 4.70407 | − | 8.14769i | 0.208709 | − | 0.361495i | ||||
\(509\) | −8.21856 | −0.364281 | −0.182141 | − | 0.983273i | \(-0.558303\pi\) | ||||
−0.182141 | + | 0.983273i | \(0.558303\pi\) | |||||||
\(510\) | −1.05473 | − | 0.804872i | −0.0467042 | − | 0.0356403i | ||||
\(511\) | 7.35845 | − | 12.6725i | 0.325519 | − | 0.560598i | ||||
\(512\) | − | 4.01467i | − | 0.177425i | ||||||
\(513\) | 15.9058 | + | 20.3897i | 0.702257 | + | 0.900229i | ||||
\(514\) | 0 | 0.000859331i | 0 | 3.79035e-5i | ||||||
\(515\) | −19.9822 | − | 11.5367i | −0.880520 | − | 0.508369i | ||||
\(516\) | 0.919593 | − | 1.20506i | 0.0404828 | − | 0.0530499i | ||||
\(517\) | −12.3506 | − | 7.13062i | −0.543179 | − | 0.313604i | ||||
\(518\) | −0.700097 | − | 0.00173706i | −0.0307605 | − | 7.63218e-5i | ||||
\(519\) | 1.78689 | + | 0.230413i | 0.0784357 | + | 0.0101140i | ||||
\(520\) | −1.73277 | + | 0.142934i | −0.0759870 | + | 0.00626806i | ||||
\(521\) | 16.9788 | − | 29.4082i | 0.743856 | − | 1.28840i | −0.206871 | − | 0.978368i | \(-0.566328\pi\) |
0.950727 | − | 0.310028i | \(-0.100339\pi\) | |||||||
\(522\) | 0.0994039 | + | 0.363238i | 0.00435079 | + | 0.0158985i | ||||
\(523\) | − | 25.7982i | − | 1.12807i | −0.825749 | − | 0.564037i | \(-0.809247\pi\) | ||
0.825749 | − | 0.564037i | \(-0.190753\pi\) | |||||||
\(524\) | 16.2543 | + | 28.1533i | 0.710072 | + | 1.22988i | ||||
\(525\) | −0.429877 | + | 3.26977i | −0.0187614 | + | 0.142705i | ||||
\(526\) | 0.278415 | + | 0.482229i | 0.0121395 | + | 0.0210262i | ||||
\(527\) | −27.9998 | − | 16.1657i | −1.21969 | − | 0.704189i | ||||
\(528\) | 18.0973 | + | 13.8102i | 0.787586 | + | 0.601014i | ||||
\(529\) | 8.63813 | 0.375571 | ||||||||
\(530\) | −1.63670 | −0.0710938 | ||||||||
\(531\) | 5.98284 | − | 6.04686i | 0.259633 | − | 0.262411i | ||||
\(532\) | −13.2069 | + | 22.7446i | −0.572594 | + | 0.986103i | ||||
\(533\) | 4.30742 | − | 2.98433i | 0.186575 | − | 0.129266i | ||||
\(534\) | 0.410773 | − | 0.171430i | 0.0177759 | − | 0.00741849i | ||||
\(535\) | −33.1376 | + | 19.1320i | −1.43266 | + | 0.827148i | ||||
\(536\) | −0.251281 | + | 0.145077i | −0.0108537 | + | 0.00626637i | ||||
\(537\) | −4.31882 | − | 3.29573i | −0.186371 | − | 0.142221i | ||||
\(538\) | 0.757537i | 0.0326597i | ||||||||
\(539\) | −20.0525 | + | 11.4450i | −0.863724 | + | 0.492973i | ||||
\(540\) | −3.43631 | − | 24.5834i | −0.147875 | − | 1.05790i | ||||
\(541\) | −6.70147 | − | 11.6073i | −0.288119 | − | 0.499036i | 0.685242 | − | 0.728315i | \(-0.259696\pi\) |
−0.973361 | + | 0.229279i | \(0.926363\pi\) | |||||||
\(542\) | 0.668952 | 0.0287340 | ||||||||
\(543\) | −33.3629 | + | 13.9235i | −1.43174 | + | 0.597513i | ||||
\(544\) | 3.83697i | 0.164509i | ||||||||
\(545\) | −6.41369 | −0.274732 | ||||||||
\(546\) | −0.0403358 | + | 0.832424i | −0.00172621 | + | 0.0356245i | ||||
\(547\) | 27.6554 | 1.18246 | 0.591230 | − | 0.806503i | \(-0.298642\pi\) | ||||
0.591230 | + | 0.806503i | \(0.298642\pi\) | |||||||
\(548\) | − | 17.7272i | − | 0.757271i | ||||||
\(549\) | −8.24348 | + | 2.25592i | −0.351823 | + | 0.0962802i | ||||
\(550\) | 0.119731 | 0.00510533 | ||||||||
\(551\) | −6.19290 | − | 10.7264i | −0.263826 | − | 0.456961i | ||||
\(552\) | 0.509731 | + | 1.22140i | 0.0216956 | + | 0.0519862i | ||||
\(553\) | 10.6700 | − | 6.12510i | 0.453736 | − | 0.260466i | ||||
\(554\) | 1.16155i | 0.0493497i | ||||||||
\(555\) | −13.1832 | + | 17.2757i | −0.559596 | + | 0.733311i | ||||
\(556\) | 9.40101 | − | 5.42767i | 0.398691 | − | 0.230185i | ||||
\(557\) | −12.0281 | + | 6.94444i | −0.509648 | + | 0.294245i | −0.732689 | − | 0.680564i | \(-0.761735\pi\) |
0.223041 | + | 0.974809i | \(0.428402\pi\) | |||||||
\(558\) | 0.203366 | + | 0.743131i | 0.00860915 | + | 0.0314592i | ||||
\(559\) | 0.129872 | + | 1.57442i | 0.00549298 | + | 0.0665908i | ||||
\(560\) | 21.8668 | − | 12.5526i | 0.924041 | − | 0.530443i | ||||
\(561\) | −28.8394 | − | 22.0076i | −1.21760 | − | 0.929161i | ||||
\(562\) | −0.561454 | −0.0236835 | ||||||||
\(563\) | 11.6814 | 0.492312 | 0.246156 | − | 0.969230i | \(-0.420832\pi\) | ||||
0.246156 | + | 0.969230i | \(0.420832\pi\) | |||||||
\(564\) | 9.07463 | − | 11.8917i | 0.382111 | − | 0.500729i | ||||
\(565\) | −3.80300 | − | 2.19566i | −0.159993 | − | 0.0923721i | ||||
\(566\) | −0.545872 | − | 0.945478i | −0.0229447 | − | 0.0397414i | ||||
\(567\) | −23.8110 | + | 0.194334i | −0.999967 | + | 0.00816126i | ||||
\(568\) | 0.598855 | + | 1.03725i | 0.0251274 | + | 0.0435220i | ||||
\(569\) | 14.4187i | 0.604465i | 0.953234 | + | 0.302233i | \(0.0977320\pi\) | ||||
−0.953234 | + | 0.302233i | \(0.902268\pi\) | |||||||
\(570\) | −0.400482 | − | 0.959618i | −0.0167743 | − | 0.0401940i | ||||
\(571\) | −1.58864 | + | 2.75161i | −0.0664827 | + | 0.115151i | −0.897351 | − | 0.441318i | \(-0.854511\pi\) |
0.830868 | + | 0.556469i | \(0.187844\pi\) | |||||||
\(572\) | −23.6744 | + | 1.95287i | −0.989878 | + | 0.0816536i | ||||
\(573\) | −5.37544 | + | 41.6873i | −0.224562 | + | 1.74151i | ||||
\(574\) | 0.0973940 | − | 0.167729i | 0.00406515 | − | 0.00700087i | ||||
\(575\) | −2.36192 | − | 1.36366i | −0.0984989 | − | 0.0568684i | ||||
\(576\) | −16.7513 | + | 16.9305i | −0.697972 | + | 0.705440i | ||||
\(577\) | 28.1688 | + | 16.2633i | 1.17268 | + | 0.677048i | 0.954310 | − | 0.298818i | \(-0.0965922\pi\) |
0.218371 | + | 0.975866i | \(0.429926\pi\) | |||||||
\(578\) | − | 1.17636i | − | 0.0489301i | ||||||
\(579\) | 1.62738 | − | 2.13256i | 0.0676315 | − | 0.0886263i | ||||
\(580\) | 11.8889i | 0.493659i | ||||||||
\(581\) | 0.106815 | − | 43.0502i | 0.00443142 | − | 1.78603i | ||||
\(582\) | 0.676555 | − | 0.886578i | 0.0280441 | − | 0.0367498i | ||||
\(583\) | −44.7523 | −1.85345 | ||||||||
\(584\) | 0.558383 | − | 0.967148i | 0.0231061 | − | 0.0400209i | ||||
\(585\) | 19.8227 | + | 16.6211i | 0.819567 | + | 0.687200i | ||||
\(586\) | 0.186076 | − | 0.107431i | 0.00768674 | − | 0.00443794i | ||||
\(587\) | 15.9879 | − | 27.6918i | 0.659890 | − | 1.14296i | −0.320754 | − | 0.947163i | \(-0.603936\pi\) |
0.980644 | − | 0.195800i | \(-0.0627304\pi\) | |||||||
\(588\) | −9.21625 | − | 22.3957i | −0.380072 | − | 0.923582i | ||||
\(589\) | −12.6698 | − | 21.9447i | −0.522048 | − | 0.904214i | ||||
\(590\) | −0.296219 | + | 0.171022i | −0.0121952 | + | 0.00704087i | ||||
\(591\) | 4.66522 | − | 36.1795i | 0.191902 | − | 1.48822i | ||||
\(592\) | 20.9044 | 0.859167 | ||||||||
\(593\) | −9.25724 | − | 16.0340i | −0.380149 | − | 0.658438i | 0.610934 | − | 0.791681i | \(-0.290794\pi\) |
−0.991083 | + | 0.133244i | \(0.957461\pi\) | |||||||
\(594\) | 0.119676 | + | 0.856162i | 0.00491035 | + | 0.0351288i | ||||
\(595\) | −34.8463 | + | 20.0034i | −1.42856 | + | 0.820060i | ||||
\(596\) | −6.42826 | − | 3.71136i | −0.263312 | − | 0.152023i | ||||
\(597\) | −32.0691 | + | 13.3835i | −1.31250 | + | 0.547751i | ||||
\(598\) | −0.623180 | − | 0.294369i | −0.0254837 | − | 0.0120376i | ||||
\(599\) | −17.5513 | − | 10.1332i | −0.717125 | − | 0.414033i | 0.0965683 | − | 0.995326i | \(-0.469213\pi\) |
−0.813694 | + | 0.581294i | \(0.802547\pi\) | |||||||
\(600\) | −0.0321422 | + | 0.249267i | −0.00131220 | + | 0.0101763i | ||||
\(601\) | 28.7369 | + | 16.5912i | 1.17220 | + | 0.676771i | 0.954198 | − | 0.299177i | \(-0.0967120\pi\) |
0.218004 | + | 0.975948i | \(0.430045\pi\) | |||||||
\(602\) | 0.0291099 | + | 0.0507100i | 0.00118643 | + | 0.00206679i | ||||
\(603\) | 4.17590 | + | 1.09515i | 0.170056 | + | 0.0445978i | ||||
\(604\) | 19.2748 | − | 33.3850i | 0.784282 | − | 1.35842i | ||||
\(605\) | −0.288320 | −0.0117219 | ||||||||
\(606\) | −1.06966 | − | 0.816265i | −0.0434519 | − | 0.0331585i | ||||
\(607\) | 8.60080 | + | 4.96568i | 0.349096 | + | 0.201551i | 0.664287 | − | 0.747478i | \(-0.268735\pi\) |
−0.315191 | + | 0.949028i | \(0.602069\pi\) | |||||||
\(608\) | −1.50360 | + | 2.60431i | −0.0609790 | + | 0.105619i | ||||
\(609\) | 11.3075 | + | 1.48660i | 0.458204 | + | 0.0602400i | ||||
\(610\) | 0.343660 | 0.0139144 | ||||||||
\(611\) | 1.28158 | + | 15.5365i | 0.0518473 | + | 0.628539i | ||||
\(612\) | 26.7628 | − | 27.0491i | 1.08182 | − | 1.09340i | ||||
\(613\) | −11.9041 | − | 20.6186i | −0.480803 | − | 0.832776i | 0.518954 | − | 0.854802i | \(-0.326322\pi\) |
−0.999757 | + | 0.0220265i | \(0.992988\pi\) | |||||||
\(614\) | 1.17797 | 0.0475390 | ||||||||
\(615\) | −2.31870 | − | 5.55597i | −0.0934989 | − | 0.224039i | ||||
\(616\) | −1.52602 | + | 0.876006i | −0.0614850 | + | 0.0352953i | ||||
\(617\) | 24.2100 | − | 13.9777i | 0.974659 | − | 0.562720i | 0.0740057 | − | 0.997258i | \(-0.476422\pi\) |
0.900653 | + | 0.434538i | \(0.143088\pi\) | |||||||
\(618\) | −0.511326 | + | 0.670056i | −0.0205685 | + | 0.0269536i | ||||
\(619\) | −10.8076 | − | 6.23976i | −0.434393 | − | 0.250797i | 0.266823 | − | 0.963745i | \(-0.414026\pi\) |
−0.701216 | + | 0.712949i | \(0.747359\pi\) | |||||||
\(620\) | 24.3229i | 0.976832i | ||||||||
\(621\) | 7.39031 | − | 18.2525i | 0.296563 | − | 0.732448i | ||||
\(622\) | −0.954240 | − | 0.550931i | −0.0382615 | − | 0.0220903i | ||||
\(623\) | 0.0334455 | − | 13.4798i | 0.00133996 | − | 0.540055i | ||||
\(624\) | 1.14272 | − | 24.8585i | 0.0457455 | − | 0.995134i | ||||
\(625\) | 14.0402 | + | 24.3183i | 0.561608 | + | 0.972734i | ||||
\(626\) | −0.328088 | − | 0.568265i | −0.0131130 | − | 0.0227124i | ||||
\(627\) | −10.9503 | − | 26.2388i | −0.437315 | − | 1.04788i | ||||
\(628\) | −11.4976 | − | 6.63812i | −0.458802 | − | 0.264890i | ||||
\(629\) | −33.3127 | −1.32826 | ||||||||
\(630\) | 0.925551 | + | 0.245186i | 0.0368749 | + | 0.00976842i | ||||
\(631\) | 0.0948913 | + | 0.164357i | 0.00377756 | + | 0.00654293i | 0.867908 | − | 0.496725i | \(-0.165464\pi\) |
−0.864130 | + | 0.503268i | \(0.832131\pi\) | |||||||
\(632\) | 0.811994 | − | 0.468805i | 0.0322994 | − | 0.0186481i | ||||
\(633\) | −31.2427 | − | 4.02864i | −1.24179 | − | 0.160124i | ||||
\(634\) | 0.536737 | + | 0.929656i | 0.0213166 | + | 0.0369214i | ||||
\(635\) | 11.2645 | 0.447018 | ||||||||
\(636\) | 6.00315 | − | 46.5553i | 0.238040 | − | 1.84604i | ||||
\(637\) | 22.7672 | + | 10.8929i | 0.902068 | + | 0.431594i | ||||
\(638\) | − | 0.414052i | − | 0.0163925i | ||||||
\(639\) | 4.52059 | − | 17.2375i | 0.178832 | − | 0.681903i | ||||
\(640\) | 3.33239 | − | 1.92396i | 0.131724 | − | 0.0760511i | ||||
\(641\) | 23.8442i | 0.941790i | 0.882189 | + | 0.470895i | \(0.156069\pi\) | ||||
−0.882189 | + | 0.470895i | \(0.843931\pi\) | |||||||
\(642\) | 0.538341 | + | 1.28995i | 0.0212466 | + | 0.0509103i | ||||
\(643\) | 30.1098 | − | 17.3839i | 1.18741 | − | 0.685553i | 0.229696 | − | 0.973263i | \(-0.426227\pi\) |
0.957718 | + | 0.287709i | \(0.0928936\pi\) | |||||||
\(644\) | 20.0277 | + | 0.0496919i | 0.789201 | + | 0.00195814i | ||||
\(645\) | 1.80006 | + | 0.232111i | 0.0708771 | + | 0.00913937i | ||||
\(646\) | 0.797002 | − | 1.38045i | 0.0313576 | − | 0.0543130i | ||||
\(647\) | −6.37831 | − | 11.0476i | −0.250757 | − | 0.434324i | 0.712977 | − | 0.701187i | \(-0.247346\pi\) |
−0.963735 | + | 0.266863i | \(0.914013\pi\) | |||||||
\(648\) | −1.81457 | + | 0.0193123i | −0.0712831 | + | 0.000758660i | ||||
\(649\) | −8.09951 | + | 4.67625i | −0.317934 | + | 0.183559i | ||||
\(650\) | −0.0745366 | − | 0.107582i | −0.00292356 | − | 0.00421971i | ||||
\(651\) | 23.1335 | + | 3.04136i | 0.906674 | + | 0.119200i | ||||
\(652\) | −19.3532 | + | 33.5207i | −0.757930 | + | 1.31277i | ||||
\(653\) | − | 12.3645i | − | 0.483861i | −0.970294 | − | 0.241931i | \(-0.922219\pi\) | ||
0.970294 | − | 0.241931i | \(-0.0777806\pi\) | |||||||
\(654\) | −0.0299630 | + | 0.232367i | −0.00117165 | + | 0.00908628i | ||||
\(655\) | −19.4615 | + | 33.7083i | −0.760423 | + | 1.31709i | ||||
\(656\) | −2.89567 | + | 5.01545i | −0.113057 | + | 0.195821i | ||||
\(657\) | −16.0267 | + | 4.38589i | −0.625263 | + | 0.171110i | ||||
\(658\) | 0.287259 | + | 0.500411i | 0.0111985 | + | 0.0195080i | ||||
\(659\) | −7.20356 | + | 4.15898i | −0.280611 | + | 0.162011i | −0.633700 | − | 0.773579i | \(-0.718465\pi\) |
0.353089 | + | 0.935590i | \(0.385131\pi\) | |||||||
\(660\) | −3.49024 | + | 27.0673i | −0.135858 | + | 1.05359i | ||||
\(661\) | −28.7318 | + | 16.5883i | −1.11754 | + | 0.645210i | −0.940771 | − | 0.339043i | \(-0.889897\pi\) |
−0.176765 | + | 0.984253i | \(0.556563\pi\) | |||||||
\(662\) | −0.296634 | − | 0.171261i | −0.0115290 | − | 0.00665627i | ||||
\(663\) | −1.82101 | + | 39.6137i | −0.0707221 | + | 1.53847i | ||||
\(664\) | − | 3.28083i | − | 0.127321i | ||||||
\(665\) | −31.4904 | − | 0.0781328i | −1.22114 | − | 0.00302986i | ||||
\(666\) | 0.564307 | + | 0.558334i | 0.0218665 | + | 0.0216350i | ||||
\(667\) | −4.71579 | + | 8.16799i | −0.182596 | + | 0.316266i | ||||
\(668\) | −17.1969 | + | 29.7860i | −0.665369 | + | 1.15245i | ||||
\(669\) | 5.55265 | − | 43.0616i | 0.214678 | − | 1.66486i | ||||
\(670\) | −0.150335 | − | 0.0867960i | −0.00580795 | − | 0.00335322i | ||||
\(671\) | 9.39669 | 0.362755 | ||||||||
\(672\) | −1.06012 | − | 2.55805i | −0.0408950 | − | 0.0986791i | ||||
\(673\) | −10.9583 | + | 18.9804i | −0.422412 | + | 0.731640i | −0.996175 | − | 0.0873819i | \(-0.972150\pi\) |
0.573762 | + | 0.819022i | \(0.305483\pi\) | |||||||
\(674\) | 1.37199i | 0.0528470i | ||||||||
\(675\) | 2.94846 | − | 2.30006i | 0.113486 | − | 0.0885292i | ||||
\(676\) | 16.4929 | + | 20.0566i | 0.634342 | + | 0.771406i | ||||
\(677\) | 16.0223 | + | 27.7515i | 0.615787 | + | 1.06658i | 0.990246 | + | 0.139331i | \(0.0444953\pi\) |
−0.374458 | + | 0.927244i | \(0.622171\pi\) | |||||||
\(678\) | −0.0973151 | + | 0.127525i | −0.00373736 | + | 0.00489755i | ||||
\(679\) | −16.8143 | − | 29.2909i | −0.645275 | − | 1.12408i | ||||
\(680\) | −2.65182 | + | 1.53103i | −0.101693 | + | 0.0587122i | ||||
\(681\) | 3.74931 | + | 8.98395i | 0.143674 | + | 0.344266i | ||||
\(682\) | − | 0.847090i | − | 0.0324367i | ||||||
\(683\) | − | 18.2613i | − | 0.698749i | −0.936983 | − | 0.349374i | \(-0.886394\pi\) | ||
0.936983 | − | 0.349374i | \(-0.113606\pi\) | |||||||
\(684\) | 28.7648 | − | 7.87180i | 1.09985 | − | 0.300986i | ||||
\(685\) | 18.3815 | − | 10.6125i | 0.702319 | − | 0.405484i | ||||
\(686\) | 0.934131 | + | 0.00695331i | 0.0356653 | + | 0.000265478i | ||||
\(687\) | −20.2064 | − | 15.4197i | −0.770922 | − | 0.588297i | ||||
\(688\) | −0.872953 | − | 1.51200i | −0.0332810 | − | 0.0576445i | ||||
\(689\) | 27.8599 | + | 40.2114i | 1.06138 | + | 1.53193i | ||||
\(690\) | −0.480354 | + | 0.629470i | −0.0182868 | + | 0.0239635i | ||||
\(691\) | − | 24.0040i | − | 0.913156i | −0.889683 | − | 0.456578i | \(-0.849075\pi\) | ||
0.889683 | − | 0.456578i | \(-0.150925\pi\) | |||||||
\(692\) | 1.03888 | − | 1.79939i | 0.0394922 | − | 0.0684025i | ||||
\(693\) | 25.3073 | + | 6.70410i | 0.961345 | + | 0.254668i | ||||
\(694\) | 1.33195 | 0.0505602 | ||||||||
\(695\) | 11.2560 | + | 6.49863i | 0.426963 | + | 0.246507i | ||||
\(696\) | 0.862016 | + | 0.111154i | 0.0326746 | + | 0.00421328i | ||||
\(697\) | 4.61446 | − | 7.99248i | 0.174785 | − | 0.302737i | ||||
\(698\) | −0.153214 | + | 0.265374i | −0.00579922 | + | 0.0100445i | ||||
\(699\) | 19.4025 | + | 14.8062i | 0.733870 | + | 0.560022i | ||||
\(700\) | 3.28899 | + | 1.90979i | 0.124312 | + | 0.0721834i | ||||
\(701\) | − | 21.5626i | − | 0.814410i | −0.913337 | − | 0.407205i | \(-0.866504\pi\) | ||
0.913337 | − | 0.407205i | \(-0.133496\pi\) | |||||||
\(702\) | 0.694788 | − | 0.640524i | 0.0262231 | − | 0.0241750i | ||||
\(703\) | −22.6107 | − | 13.0543i | −0.852778 | − | 0.492352i | ||||
\(704\) | 22.6778 | − | 13.0930i | 0.854700 | − | 0.493461i | ||||
\(705\) | 17.7631 | + | 2.29049i | 0.668997 | + | 0.0862650i | ||||
\(706\) | 1.10159 | − | 0.636003i | 0.0414589 | − | 0.0239363i | ||||
\(707\) | −35.3395 | + | 20.2866i | −1.32908 | + | 0.762954i | ||||
\(708\) | −3.77817 | − | 9.05310i | −0.141992 | − | 0.340236i | ||||
\(709\) | 7.76763 | − | 13.4539i | 0.291719 | − | 0.505273i | −0.682497 | − | 0.730888i | \(-0.739106\pi\) |
0.974216 | + | 0.225616i | \(0.0724393\pi\) | |||||||
\(710\) | −0.358281 | + | 0.620560i | −0.0134460 | + | 0.0232892i | ||||
\(711\) | −13.4941 | − | 3.53888i | −0.506068 | − | 0.132718i | ||||
\(712\) | − | 1.02728i | − | 0.0384991i | ||||||
\(713\) | −9.64781 | + | 16.7105i | −0.361313 | + | 0.625813i | ||||
\(714\) | 0.561929 | + | 1.35593i | 0.0210297 | + | 0.0507443i | ||||
\(715\) | −16.1978 | − | 23.3790i | −0.605764 | − | 0.874326i | ||||
\(716\) | −5.42577 | + | 3.13257i | −0.202771 | + | 0.117070i | ||||
\(717\) | 38.3314 | − | 15.9970i | 1.43151 | − | 0.597419i | ||||
\(718\) | 0.349059 | + | 0.604589i | 0.0130268 | + | 0.0225631i | ||||
\(719\) | 12.0233 | − | 20.8250i | 0.448394 | − | 0.776642i | −0.549887 | − | 0.835239i | \(-0.685329\pi\) |
0.998282 | + | 0.0585970i | \(0.0186627\pi\) | |||||||
\(720\) | −27.6543 | − | 7.25246i | −1.03062 | − | 0.270283i | ||||
\(721\) | 12.7079 | + | 22.1374i | 0.473268 | + | 0.824441i | ||||
\(722\) | 0.251957 | − | 0.145467i | 0.00937686 | − | 0.00541373i | ||||
\(723\) | 24.8927 | − | 10.3886i | 0.925771 | − | 0.386356i | ||||
\(724\) | 41.6913i | 1.54944i | ||||||||
\(725\) | −1.55110 | + | 0.895526i | −0.0576063 | + | 0.0332590i | ||||
\(726\) | −0.00134695 | + | 0.0104458i | −4.99902e−5 | + | 0.000387681i | ||||
\(727\) | 14.4681i | 0.536592i | 0.963337 | + | 0.268296i | \(0.0864605\pi\) | ||||
−0.963337 | + | 0.268296i | \(0.913539\pi\) | |||||||
\(728\) | 1.73712 | + | 0.825834i | 0.0643820 | + | 0.0306075i | ||||
\(729\) | 19.3942 | + | 18.7847i | 0.718304 | + | 0.695729i | ||||
\(730\) | 0.668135 | 0.0247288 | ||||||||
\(731\) | 1.39111 | + | 2.40948i | 0.0514522 | + | 0.0891178i | ||||
\(732\) | −1.26049 | + | 9.77526i | −0.0465890 | + | 0.361304i | ||||
\(733\) | 33.3177 | − | 19.2360i | 1.23062 | − | 0.710496i | 0.263457 | − | 0.964671i | \(-0.415137\pi\) |
0.967158 | + | 0.254175i | \(0.0818038\pi\) | |||||||
\(734\) | −0.499751 | − | 0.865595i | −0.0184462 | − | 0.0319497i | ||||
\(735\) | 17.7048 | − | 22.9637i | 0.653051 | − | 0.847028i | ||||
\(736\) | 2.28993 | 0.0844080 | ||||||||
\(737\) | −4.11061 | − | 2.37326i | −0.151416 | − | 0.0874202i | ||||
\(738\) | −0.212125 | + | 0.0580502i | −0.00780842 | + | 0.00213686i | ||||
\(739\) | −3.00764 | − | 5.20938i | −0.110638 | − | 0.191630i | 0.805390 | − | 0.592745i | \(-0.201956\pi\) |
−0.916028 | + | 0.401115i | \(0.868623\pi\) | |||||||
\(740\) | 12.5306 | + | 21.7036i | 0.460633 | + | 0.797839i | ||||
\(741\) | −16.7595 | + | 26.1739i | −0.615675 | + | 0.961521i | ||||
\(742\) | 1.56581 | + | 0.909211i | 0.0574829 | + | 0.0333782i | ||||
\(743\) | −27.6154 | − | 15.9438i | −1.01311 | − | 0.584920i | −0.101010 | − | 0.994885i | \(-0.532208\pi\) |
−0.912101 | + | 0.409965i | \(0.865541\pi\) | |||||||
\(744\) | 1.76356 | + | 0.227405i | 0.0646551 | + | 0.00833706i | ||||
\(745\) | − | 8.88732i | − | 0.325606i | ||||||
\(746\) | −0.767334 | − | 0.443021i | −0.0280941 | − | 0.0162201i | ||||
\(747\) | −34.3329 | + | 34.7003i | −1.25618 | + | 1.26962i | ||||
\(748\) | −36.2312 | + | 20.9181i | −1.32474 | + | 0.764841i | ||||
\(749\) | 42.3304 | + | 0.105029i | 1.54672 | + | 0.00383767i | ||||
\(750\) | 0.825337 | − | 0.344441i | 0.0301371 | − | 0.0125772i | ||||
\(751\) | −10.3516 | −0.377736 | −0.188868 | − | 0.982003i | \(-0.560482\pi\) | ||||
−0.188868 | + | 0.982003i | \(0.560482\pi\) | |||||||
\(752\) | −8.61438 | − | 14.9205i | −0.314134 | − | 0.544096i | ||||
\(753\) | 12.2451 | − | 16.0463i | 0.446236 | − | 0.584761i | ||||
\(754\) | −0.372040 | + | 0.257762i | −0.0135489 | + | 0.00938715i | ||||
\(755\) | 46.1560 | 1.67979 | ||||||||
\(756\) | −10.3690 | + | 25.4276i | −0.377115 | + | 0.924793i | ||||
\(757\) | 2.99136 | − | 5.18119i | 0.108723 | − | 0.188313i | −0.806530 | − | 0.591193i | \(-0.798657\pi\) |
0.915253 | + | 0.402879i | \(0.131991\pi\) | |||||||
\(758\) | −0.807498 | − | 0.466209i | −0.0293297 | − | 0.0169335i | ||||
\(759\) | −13.1343 | + | 17.2116i | −0.476744 | + | 0.624740i | ||||
\(760\) | −2.39986 | −0.0870522 | ||||||||
\(761\) | −0.956390 | + | 1.65652i | −0.0346691 | + | 0.0600487i | −0.882839 | − | 0.469675i | \(-0.844371\pi\) |
0.848170 | + | 0.529724i | \(0.177704\pi\) | |||||||
\(762\) | 0.0526247 | − | 0.408112i | 0.00190639 | − | 0.0147843i | ||||
\(763\) | 6.13590 | + | 3.56289i | 0.222135 | + | 0.128985i | ||||
\(764\) | 41.9790 | + | 24.2366i | 1.51875 | + | 0.876849i | ||||
\(765\) | 44.0691 | + | 11.5573i | 1.59332 | + | 0.417855i | ||||
\(766\) | −0.138260 | − | 0.0798247i | −0.00499555 | − | 0.00288418i | ||||
\(767\) | 9.24401 | + | 4.36655i | 0.333782 | + | 0.157667i | ||||
\(768\) | 10.5378 | + | 25.2503i | 0.380250 | + | 0.911141i | ||||
\(769\) | 3.32745 | + | 1.92110i | 0.119991 | + | 0.0692768i | 0.558794 | − | 0.829306i | \(-0.311264\pi\) |
−0.438803 | + | 0.898583i | \(0.644598\pi\) | |||||||
\(770\) | −0.910368 | − | 0.528617i | −0.0328074 | − | 0.0190500i | ||||
\(771\) | 0.0113649 | + | 0.0272322i | 0.000409298 | + | 0.000980745i | ||||
\(772\) | −1.54681 | − | 2.67916i | −0.0556710 | − | 0.0964250i | ||||
\(773\) | −38.4530 | −1.38306 | −0.691528 | − | 0.722349i | \(-0.743062\pi\) | ||||
−0.691528 | + | 0.722349i | \(0.743062\pi\) | |||||||
\(774\) | 0.0168187 | − | 0.0641315i | 0.000604537 | − | 0.00230516i | ||||
\(775\) | −3.17331 | + | 1.83211i | −0.113989 | + | 0.0658115i | ||||
\(776\) | −1.28694 | − | 2.22905i | −0.0461985 | − | 0.0800182i | ||||
\(777\) | 22.2091 | − | 9.20398i | 0.796747 | − | 0.330191i | ||||
\(778\) | 0.396281 | − | 0.686379i | 0.0142074 | − | 0.0246079i | ||||
\(779\) | 6.26405 | − | 3.61655i | 0.224433 | − | 0.129576i | ||||
\(780\) | 26.4937 | − | 13.7143i | 0.948627 | − | 0.491050i | ||||
\(781\) | −9.79645 | + | 16.9680i | −0.350545 | + | 0.607161i | ||||
\(782\) | −1.21381 | −0.0434056 | ||||||||
\(783\) | −7.95405 | − | 10.1964i | −0.284255 | − | 0.364388i | ||||
\(784\) | −27.8928 | − | 0.138414i | −0.996173 | − | 0.00494337i | ||||
\(785\) | − | 15.8958i | − | 0.567346i | ||||||
\(786\) | 1.13033 | + | 0.862564i | 0.0403175 | + | 0.0307666i | ||||
\(787\) | 31.0064i | 1.10526i | 0.833427 | + | 0.552629i | \(0.186375\pi\) | ||||
−0.833427 | + | 0.552629i | \(0.813625\pi\) | |||||||
\(788\) | −36.4326 | − | 21.0344i | −1.29786 | − | 0.749318i | ||||
\(789\) | −15.2006 | − | 11.5997i | −0.541157 | − | 0.412961i | ||||
\(790\) | 0.485796 | + | 0.280475i | 0.0172839 | + | 0.00997884i | ||||
\(791\) | 2.41856 | + | 4.21318i | 0.0859942 | + | 0.149803i | ||||
\(792\) | 1.92991 | + | 0.506127i | 0.0685764 | + | 0.0179844i | ||||
\(793\) | −5.84977 | − | 8.44324i | −0.207732 | − | 0.299828i | ||||
\(794\) | 0.437844 | − | 0.758369i | 0.0155385 | − | 0.0269135i | ||||
\(795\) | 51.8672 | − | 21.6459i | 1.83954 | − | 0.767702i | ||||
\(796\) | 40.0745i | 1.42040i | ||||||||
\(797\) | 18.5488 | + | 32.1274i | 0.657032 | + | 1.13801i | 0.981380 | + | 0.192075i | \(0.0615216\pi\) |
−0.324348 | + | 0.945938i | \(0.605145\pi\) | |||||||
\(798\) | −0.149945 | + | 1.14053i | −0.00530800 | + | 0.0403743i | ||||
\(799\) | 13.7276 | + | 23.7769i | 0.485648 | + | 0.841168i | ||||
\(800\) | 0.376597 | + | 0.217428i | 0.0133147 | + | 0.00768725i | ||||
\(801\) | −10.7502 | + | 10.8652i | −0.379840 | + | 0.383904i | ||||
\(802\) | −0.349380 | −0.0123370 | ||||||||
\(803\) | 18.2688 | 0.644691 | ||||||||
\(804\) | 3.02028 | − | 3.95786i | 0.106517 | − | 0.139583i | ||||
\(805\) | 11.9382 | + | 20.7965i | 0.420765 | + | 0.732981i | ||||
\(806\) | −0.761139 | + | 0.527344i | −0.0268100 | + | 0.0185749i | ||||
\(807\) | −10.0187 | − | 24.0064i | −0.352674 | − | 0.845064i | ||||
\(808\) | −2.68935 | + | 1.55270i | −0.0946112 | + | 0.0546238i | ||||
\(809\) | 39.5016 | − | 22.8063i | 1.38880 | − | 0.801826i | 0.395623 | − | 0.918413i | \(-0.370529\pi\) |
0.993180 | + | 0.116587i | \(0.0371955\pi\) | |||||||
\(810\) | −0.552814 | − | 0.934393i | −0.0194239 | − | 0.0328312i | ||||
\(811\) | 20.1525i | 0.707651i | 0.935312 | + | 0.353825i | \(0.115119\pi\) | ||||
−0.935312 | + | 0.353825i | \(0.884881\pi\) | |||||||
\(812\) | 6.60444 | − | 11.3740i | 0.231771 | − | 0.399148i | ||||
\(813\) | −21.1991 | + | 8.84712i | −0.743486 | + | 0.310282i | ||||
\(814\) | −0.436399 | − | 0.755866i | −0.0152958 | − | 0.0264931i | ||||
\(815\) | −46.3437 | −1.62335 | ||||||||
\(816\) | −16.8792 | − | 40.4452i | −0.590889 | − | 1.41587i | ||||
\(817\) | 2.18055i | 0.0762878i | ||||||||
\(818\) | −0.190683 | −0.00666708 | ||||||||
\(819\) | −9.73085 | − | 26.9130i | −0.340023 | − | 0.940417i | ||||
\(820\) | −6.94292 | −0.242457 | ||||||||
\(821\) | − | 13.0591i | − | 0.455766i | −0.973689 | − | 0.227883i | \(-0.926820\pi\) | ||
0.973689 | − | 0.227883i | \(-0.0731803\pi\) | |||||||
\(822\) | −0.298618 | − | 0.715537i | −0.0104155 | − | 0.0249572i | ||||
\(823\) | 1.07082 | 0.0373266 | 0.0186633 | − | 0.999826i | \(-0.494059\pi\) | ||||
0.0186633 | + | 0.999826i | \(0.494059\pi\) | |||||||
\(824\) | 0.972643 | + | 1.68467i | 0.0338836 | + | 0.0586882i | ||||
\(825\) | −3.79427 | + | 1.58348i | −0.132099 | + | 0.0551296i | ||||
\(826\) | 0.378395 | 0.000938859i | 0.0131660 | 3.26671e-5i | ||||||
\(827\) | 51.4101i | 1.78771i | 0.448361 | + | 0.893853i | \(0.352008\pi\) | ||||
−0.448361 | + | 0.893853i | \(0.647992\pi\) | |||||||
\(828\) | −16.1431 | − | 15.9722i | −0.561012 | − | 0.555073i | ||||
\(829\) | −11.4724 | + | 6.62361i | −0.398454 | + | 0.230047i | −0.685817 | − | 0.727774i | \(-0.740555\pi\) |
0.287363 | + | 0.957822i | \(0.407221\pi\) | |||||||
\(830\) | 1.69987 | − | 0.981422i | 0.0590035 | − | 0.0340657i | ||||
\(831\) | −15.3619 | − | 36.8097i | −0.532900 | − | 1.27691i | ||||
\(832\) | −25.8822 | − | 12.2259i | −0.897305 | − | 0.423856i | ||||
\(833\) | 44.4492 | + | 0.220573i | 1.54007 | + | 0.00764240i | ||||
\(834\) | 0.288029 | − | 0.377442i | 0.00997365 | − | 0.0130698i | ||||
\(835\) | −41.1802 | −1.42510 | ||||||||
\(836\) | −32.7888 | −1.13402 | ||||||||
\(837\) | −16.2728 | − | 20.8603i | −0.562471 | − | 0.721036i | ||||
\(838\) | −1.10285 | − | 0.636731i | −0.0380973 | − | 0.0219955i | ||||
\(839\) | −12.9878 | − | 22.4954i | −0.448387 | − | 0.776629i | 0.549894 | − | 0.835234i | \(-0.314668\pi\) |
−0.998281 | + | 0.0586052i | \(0.981335\pi\) | |||||||
\(840\) | 1.34492 | − | 1.75339i | 0.0464042 | − | 0.0604976i | ||||
\(841\) | −11.4031 | − | 19.7507i | −0.393210 | − | 0.681060i | ||||
\(842\) | − | 0.931823i | − | 0.0321127i | ||||||
\(843\) | 17.7925 | − | 7.42542i | 0.612807 | − | 0.255745i | ||||
\(844\) | −18.1642 | + | 31.4613i | −0.625237 | + | 1.08294i | ||||
\(845\) | −10.9231 | + | 29.1086i | −0.375767 | + | 1.00136i | ||||
\(846\) | 0.165969 | − | 0.632855i | 0.00570612 | − | 0.0217580i | ||||
\(847\) | 0.275833 | + | 0.160166i | 0.00947773 | + | 0.00550337i | ||||
\(848\) | −46.8212 | − | 27.0322i | −1.60785 | − | 0.928291i | ||||
\(849\) | 29.8030 | + | 22.7429i | 1.02283 | + | 0.780534i | ||||
\(850\) | −0.199620 | − | 0.115251i | −0.00684691 | − | 0.00395306i | ||||
\(851\) | 19.8812i | 0.681520i | ||||||||
\(852\) | −16.3374 | − | 12.4672i | −0.559712 | − | 0.427121i | ||||
\(853\) | − | 15.2119i | − | 0.520844i | −0.965495 | − | 0.260422i | \(-0.916138\pi\) | ||
0.965495 | − | 0.260422i | \(-0.0838618\pi\) | |||||||
\(854\) | −0.328776 | − | 0.190908i | −0.0112505 | − | 0.00653274i | ||||
\(855\) | 25.3826 | + | 25.1139i | 0.868065 | + | 0.858876i | ||||
\(856\) | 3.22598 | 0.110262 | ||||||||
\(857\) | −6.27506 | + | 10.8687i | −0.214352 | + | 0.371268i | −0.953072 | − | 0.302744i | \(-0.902097\pi\) |
0.738720 | + | 0.674012i | \(0.235431\pi\) | |||||||
\(858\) | −0.922692 | + | 0.477625i | −0.0315002 | + | 0.0163058i | ||||
\(859\) | −0.357975 | + | 0.206677i | −0.0122139 | + | 0.00705172i | −0.506095 | − | 0.862478i | \(-0.668911\pi\) |
0.493881 | + | 0.869530i | \(0.335578\pi\) | |||||||
\(860\) | 1.04653 | − | 1.81265i | 0.0356865 | − | 0.0618109i | ||||
\(861\) | −0.868149 | + | 6.60341i | −0.0295864 | + | 0.225043i | ||||
\(862\) | −0.774263 | − | 1.34106i | −0.0263715 | − | 0.0456768i | ||||
\(863\) | 14.4497 | − | 8.34256i | 0.491875 | − | 0.283984i | −0.233477 | − | 0.972362i | \(-0.575010\pi\) |
0.725352 | + | 0.688378i | \(0.241677\pi\) | |||||||
\(864\) | −1.17835 | + | 2.91027i | −0.0400882 | + | 0.0990095i | ||||
\(865\) | 2.48773 | 0.0845852 | ||||||||
\(866\) | 0.157419 | + | 0.272657i | 0.00534931 | + | 0.00926527i | ||||
\(867\) | 15.5577 | + | 37.2789i | 0.528369 | + | 1.26606i | ||||
\(868\) | 13.5117 | − | 23.2695i | 0.458618 | − | 0.789817i | ||||
\(869\) | 13.2831 | + | 7.66900i | 0.450598 | + | 0.260153i | ||||
\(870\) | 0.200270 | + | 0.479880i | 0.00678980 | + | 0.0162694i | ||||
\(871\) | 0.426545 | + | 5.17096i | 0.0144529 | + | 0.175211i | ||||
\(872\) | 0.468284 | + | 0.270364i | 0.0158581 | + | 0.00915569i | ||||
\(873\) | −9.71477 | + | 37.0434i | −0.328795 | + | 1.25373i | ||||
\(874\) | −0.823861 | − | 0.475656i | −0.0278675 | − | 0.0160893i | ||||
\(875\) | 0.0671995 | − | 27.0839i | 0.00227176 | − | 0.915602i | ||||
\(876\) | −2.45061 | + | 19.0048i | −0.0827983 | + | 0.642112i | ||||
\(877\) | 13.5368 | − | 23.4465i | 0.457107 | − | 0.791732i | −0.541700 | − | 0.840572i | \(-0.682219\pi\) |
0.998807 | + | 0.0488399i | \(0.0155524\pi\) | |||||||
\(878\) | 0.300124 | 0.0101287 | ||||||||
\(879\) | −4.47595 | + | 5.86542i | −0.150970 | + | 0.197836i | ||||
\(880\) | 27.2220 | + | 15.7166i | 0.917652 | + | 0.529807i | ||||
\(881\) | −24.3245 | + | 42.1313i | −0.819513 | + | 1.41944i | 0.0865279 | + | 0.996249i | \(0.472423\pi\) |
−0.906041 | + | 0.423189i | \(0.860911\pi\) | |||||||
\(882\) | −0.749260 | − | 0.748723i | −0.0252289 | − | 0.0252108i | ||||
\(883\) | 4.94186 | 0.166307 | 0.0831535 | − | 0.996537i | \(-0.473501\pi\) | ||||
0.0831535 | + | 0.996537i | \(0.473501\pi\) | |||||||
\(884\) | 41.3508 | + | 19.5327i | 1.39078 | + | 0.656956i | ||||
\(885\) | 7.12537 | − | 9.33730i | 0.239517 | − | 0.313870i | ||||
\(886\) | 0.191158 | + | 0.331095i | 0.00642207 | + | 0.0111234i | ||||
\(887\) | −24.3609 | −0.817960 | −0.408980 | − | 0.912543i | \(-0.634115\pi\) | ||||
−0.408980 | + | 0.912543i | \(0.634115\pi\) | |||||||
\(888\) | 1.69079 | − | 0.705625i | 0.0567392 | − | 0.0236792i | ||||
\(889\) | −10.7766 | − | 6.25759i | −0.361436 | − | 0.209873i | ||||
\(890\) | 0.532259 | − | 0.307300i | 0.0178413 | − | 0.0103007i | ||||
\(891\) | −15.1156 | − | 25.5491i | −0.506390 | − | 0.855926i | ||||
\(892\) | −43.3628 | − | 25.0356i | −1.45190 | − | 0.838252i | ||||
\(893\) | 21.5179i | 0.720068i | ||||||||
\(894\) | −0.321987 | − | 0.0415191i | −0.0107688 | − | 0.00138861i | ||||
\(895\) | −6.49635 | − | 3.75067i | −0.217149 | − | 0.125371i | ||||
\(896\) | −4.25685 | − | 0.0105619i | −0.142211 | − | 0.000352849i | ||||
\(897\) | 23.6417 | + | 1.08679i | 0.789375 | + | 0.0362869i | ||||
\(898\) | 0.929412 | + | 1.60979i | 0.0310149 | + | 0.0537193i | ||||
\(899\) | 6.33581 | + | 10.9739i | 0.211311 | + | 0.366002i | ||||
\(900\) | −1.13830 | − | 4.15954i | −0.0379434 | − | 0.138651i | ||||
\(901\) | 74.6129 | + | 43.0778i | 2.48572 | + | 1.43513i | ||||
\(902\) | 0.241800 | 0.00805105 | ||||||||
\(903\) | −1.59315 | − | 1.22201i | −0.0530168 | − | 0.0406661i | ||||
\(904\) | 0.185113 | + | 0.320625i | 0.00615676 | + | 0.0106638i | ||||
\(905\) | −43.2299 | + | 24.9588i | −1.43701 | + | 0.829658i | ||||
\(906\) | 0.215628 | − | 1.67223i | 0.00716377 | − | 0.0555561i | ||||
\(907\) | 26.4775 | + | 45.8604i | 0.879172 | + | 1.52277i | 0.852251 | + | 0.523134i | \(0.175237\pi\) |
0.0269216 | + | 0.999638i | \(0.491430\pi\) | |||||||
\(908\) | 11.2266 | 0.372569 | ||||||||
\(909\) | 44.6929 | + | 11.7209i | 1.48237 | + | 0.388758i | ||||
\(910\) | 0.0917561 | + | 1.14708i | 0.00304169 | + | 0.0380253i | ||||
\(911\) | 33.4663i | 1.10879i | 0.832255 | + | 0.554393i | \(0.187050\pi\) | ||||
−0.832255 | + | 0.554393i | \(0.812950\pi\) | |||||||
\(912\) | 4.39274 | − | 34.0663i | 0.145458 | − | 1.12805i | ||||
\(913\) | 46.4796 | − | 26.8350i | 1.53825 | − | 0.888108i | ||||
\(914\) | 0.768221i | 0.0254105i | ||||||||
\(915\) | −10.8906 | + | 4.54502i | −0.360032 | + | 0.150254i | ||||
\(916\) | −25.3855 | + | 14.6563i | −0.838760 | + | 0.484258i | ||||
\(917\) | 37.3440 | − | 21.4372i | 1.23321 | − | 0.707919i | ||||
\(918\) | 0.624599 | − | 1.54263i | 0.0206148 | − | 0.0509143i | ||||
\(919\) | 3.06033 | − | 5.30064i | 0.100951 | − | 0.174852i | −0.811126 | − | 0.584872i | \(-0.801145\pi\) |
0.912077 | + | 0.410020i | \(0.134478\pi\) | |||||||
\(920\) | 0.913728 | + | 1.58262i | 0.0301247 | + | 0.0521776i | ||||
\(921\) | −37.3299 | + | 15.5790i | −1.23006 | + | 0.513347i | ||||
\(922\) | −0.573286 | + | 0.330987i | −0.0188802 | + | 0.0109005i | ||||
\(923\) | 21.3449 | − | 1.76071i | 0.702577 | − | 0.0579546i | ||||
\(924\) | 18.3754 | − | 23.9561i | 0.604505 | − | 0.788099i | ||||
\(925\) | −1.88772 | + | 3.26962i | −0.0620678 | + | 0.107505i | ||||
\(926\) | 0.202710i | 0.00666145i | ||||||||
\(927\) | 7.34221 | − | 27.9966i | 0.241150 | − | 0.919528i | ||||
\(928\) | 0.751910 | − | 1.30235i | 0.0246827 | − | 0.0427516i | ||||
\(929\) | 0.488402 | − | 0.845938i | 0.0160240 | − | 0.0277543i | −0.857902 | − | 0.513813i | \(-0.828233\pi\) |
0.873926 | + | 0.486059i | \(0.161566\pi\) | |||||||
\(930\) | 0.409723 | + | 0.981763i | 0.0134354 | + | 0.0321933i | ||||
\(931\) | 30.0831 | + | 17.5681i | 0.985933 | + | 0.575771i | ||||
\(932\) | 24.3755 | − | 14.0732i | 0.798447 | − | 0.460983i | ||||
\(933\) | 37.5262 | + | 4.83887i | 1.22855 | + | 0.158418i | ||||
\(934\) | −0.282123 | + | 0.162884i | −0.00923134 | + | 0.00532972i | ||||
\(935\) | −43.3801 | − | 25.0455i | −1.41868 | − | 0.819076i | ||||
\(936\) | −0.746667 | − | 2.04917i | −0.0244056 | − | 0.0669793i | ||||
\(937\) | − | 42.7404i | − | 1.39627i | −0.715967 | − | 0.698134i | \(-0.754014\pi\) | ||
0.715967 | − | 0.698134i | \(-0.245986\pi\) | |||||||
\(938\) | 0.0956075 | + | 0.166550i | 0.00312170 | + | 0.00543805i | ||||
\(939\) | 17.9126 | + | 13.6693i | 0.584556 | + | 0.446080i | ||||
\(940\) | 10.3273 | − | 17.8874i | 0.336839 | − | 0.583422i | ||||
\(941\) | −15.2152 | + | 26.3534i | −0.496000 | + | 0.859097i | −0.999989 | − | 0.00461292i | \(-0.998532\pi\) |
0.503990 | + | 0.863710i | \(0.331865\pi\) | |||||||
\(942\) | −0.575904 | − | 0.0742609i | −0.0187640 | − | 0.00241955i | ||||
\(943\) | −4.76997 | − | 2.75394i | −0.155332 | − | 0.0896807i | ||||
\(944\) | −11.2986 | −0.367738 | ||||||||
\(945\) | −32.5734 | + | 4.47079i | −1.05961 | + | 0.145435i | ||||
\(946\) | −0.0364474 | + | 0.0631288i | −0.00118501 | + | 0.00205249i | ||||
\(947\) | − | 17.7381i | − | 0.576412i | −0.957568 | − | 0.288206i | \(-0.906941\pi\) | ||
0.957568 | − | 0.288206i | \(-0.0930587\pi\) | |||||||
\(948\) | −9.75979 | + | 12.7895i | −0.316983 | + | 0.415384i | ||||
\(949\) | −11.3730 | − | 16.4151i | −0.369182 | − | 0.532857i | ||||
\(950\) | −0.0903269 | − | 0.156451i | −0.00293059 | − | 0.00507593i | ||||
\(951\) | −29.3042 | − | 22.3623i | −0.950255 | − | 0.725148i | ||||
\(952\) | 3.38747 | + | 0.00840486i | 0.109789 | + | 0.000272403i | ||||
\(953\) | 45.8553 | − | 26.4746i | 1.48540 | − | 0.857595i | 0.485536 | − | 0.874217i | \(-0.338624\pi\) |
0.999862 | + | 0.0166215i | \(0.00529104\pi\) | |||||||
\(954\) | −0.541921 | − | 1.98027i | −0.0175453 | − | 0.0641135i | ||||
\(955\) | 58.0376i | 1.87805i | ||||||||
\(956\) | − | 47.9001i | − | 1.54920i | ||||||
\(957\) | 5.47598 | + | 13.1213i | 0.177013 | + | 0.424152i | ||||
\(958\) | −1.05009 | + | 0.606271i | −0.0339269 | + | 0.0195877i | ||||
\(959\) | −23.4807 | − | 0.0582595i | −0.758233 | − | 0.00188130i | ||||
\(960\) | −19.9503 | + | 26.1434i | −0.643893 | + | 0.843776i | ||||
\(961\) | −2.53786 | − | 4.39571i | −0.0818666 | − | 0.141797i | ||||
\(962\) | −0.407497 | + | 0.862673i | −0.0131382 | + | 0.0278137i | ||||
\(963\) | −34.1201 | − | 33.7589i | −1.09950 | − | 1.08786i | ||||
\(964\) | − | 31.1067i | − | 1.00188i | ||||||
\(965\) | 1.85202 | − | 3.20779i | 0.0596186 | − | 0.103262i | ||||
\(966\) | 0.809228 | − | 0.335363i | 0.0260365 | − | 0.0107901i | ||||
\(967\) | −33.3275 | −1.07174 | −0.535870 | − | 0.844301i | \(-0.680016\pi\) | ||||
−0.535870 | + | 0.844301i | \(0.680016\pi\) | |||||||
\(968\) | 0.0210512 | + | 0.0121539i | 0.000676612 | + | 0.000390642i | ||||
\(969\) | −7.00014 | + | 54.2871i | −0.224877 | + | 1.74395i | ||||
\(970\) | 0.769947 | − | 1.33359i | 0.0247215 | − | 0.0428189i | ||||
\(971\) | 6.70481 | − | 11.6131i | 0.215168 | − | 0.372681i | −0.738157 | − | 0.674629i | \(-0.764304\pi\) |
0.953324 | + | 0.301948i | \(0.0976369\pi\) | |||||||
\(972\) | 28.6060 | − | 12.2973i | 0.917538 | − | 0.394437i | ||||
\(973\) | −7.15836 | − | 12.4700i | −0.229487 | − | 0.399770i | ||||
\(974\) | − | 0.561203i | − | 0.0179821i | ||||||
\(975\) | 3.78488 | + | 2.42351i | 0.121213 | + | 0.0776143i | ||||
\(976\) | 9.83110 | + | 5.67599i | 0.314686 | + | 0.181684i | ||||
\(977\) | 35.2519 | − | 20.3527i | 1.12781 | − | 0.651140i | 0.184425 | − | 0.982847i | \(-0.440958\pi\) |
0.943383 | + | 0.331707i | \(0.107624\pi\) | |||||||
\(978\) | −0.216505 | + | 1.67903i | −0.00692307 | + | 0.0536894i | ||||
\(979\) | 14.5535 | − | 8.40248i | 0.465133 | − | 0.268544i | ||||
\(980\) | −16.5759 | − | 29.0421i | −0.529497 | − | 0.927716i | ||||
\(981\) | −2.12361 | − | 7.76000i | −0.0678016 | − | 0.247758i | ||||
\(982\) | 0.0173580 | − | 0.0300650i | 0.000553916 | − | 0.000959411i | ||||
\(983\) | 20.4652 | − | 35.4467i | 0.652737 | − | 1.13057i | −0.329719 | − | 0.944079i | \(-0.606954\pi\) |
0.982456 | − | 0.186495i | \(-0.0597128\pi\) | |||||||
\(984\) | −0.0649121 | + | 0.503403i | −0.00206932 | + | 0.0160479i | ||||
\(985\) | − | 50.3695i | − | 1.60490i | ||||||
\(986\) | −0.398559 | + | 0.690325i | −0.0126927 | + | 0.0219844i | ||||
\(987\) | −15.7214 | − | 12.0589i | −0.500416 | − | 0.383840i | ||||
\(988\) | 20.4122 | + | 29.4619i | 0.649399 | + | 0.937307i | ||||
\(989\) | 1.43799 | − | 0.830226i | 0.0457255 | − | 0.0263997i | ||||
\(990\) | 0.315074 | + | 1.15133i | 0.0100137 | + | 0.0365917i | ||||
\(991\) | 13.8401 | + | 23.9717i | 0.439644 | + | 0.761485i | 0.997662 | − | 0.0683434i | \(-0.0217713\pi\) |
−0.558018 | + | 0.829829i | \(0.688438\pi\) | |||||||
\(992\) | 1.53830 | − | 2.66441i | 0.0488410 | − | 0.0845951i | ||||
\(993\) | 11.6653 | + | 1.50420i | 0.370188 | + | 0.0477345i | ||||
\(994\) | 0.687493 | − | 0.394653i | 0.0218060 | − | 0.0125176i | ||||
\(995\) | −41.5534 | + | 23.9909i | −1.31733 | + | 0.760562i | ||||
\(996\) | 21.6813 | + | 51.9518i | 0.686997 | + | 1.64616i | ||||
\(997\) | − | 32.8673i | − | 1.04092i | −0.853887 | − | 0.520459i | \(-0.825761\pi\) | ||
0.853887 | − | 0.520459i | \(-0.174239\pi\) | |||||||
\(998\) | 0.686576 | − | 0.396395i | 0.0217332 | − | 0.0125477i | ||||
\(999\) | −25.2671 | − | 10.2305i | −0.799415 | − | 0.323677i |
(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 | 273.2.r.b.269.16 | yes | 64 | |
3.2 | odd | 2 | inner | 273.2.r.b.269.17 | yes | 64 | |
7.5 | odd | 6 | 273.2.bf.b.152.16 | yes | 64 | ||
13.3 | even | 3 | 273.2.bf.b.185.17 | yes | 64 | ||
21.5 | even | 6 | 273.2.bf.b.152.17 | yes | 64 | ||
39.29 | odd | 6 | 273.2.bf.b.185.16 | yes | 64 | ||
91.68 | odd | 6 | inner | 273.2.r.b.68.16 | ✓ | 64 | |
273.68 | even | 6 | inner | 273.2.r.b.68.17 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.r.b.68.16 | ✓ | 64 | 91.68 | odd | 6 | inner | |
273.2.r.b.68.17 | yes | 64 | 273.68 | even | 6 | inner | |
273.2.r.b.269.16 | yes | 64 | 1.1 | even | 1 | trivial | |
273.2.r.b.269.17 | yes | 64 | 3.2 | odd | 2 | inner | |
273.2.bf.b.152.16 | yes | 64 | 7.5 | odd | 6 | ||
273.2.bf.b.152.17 | yes | 64 | 21.5 | even | 6 | ||
273.2.bf.b.185.16 | yes | 64 | 39.29 | odd | 6 | ||
273.2.bf.b.185.17 | yes | 64 | 13.3 | even | 3 |