Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(112,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([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("605.112");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.m (of order \(20\), degree \(8\), 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: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 112.11 | ||
Character | \(\chi\) | \(=\) | 605.112 |
Dual form | 605.2.m.g.578.11 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.120168 | + | 0.235842i | 0.0849713 | + | 0.166766i | 0.929582 | − | 0.368615i | \(-0.120168\pi\) |
−0.844611 | + | 0.535381i | \(0.820168\pi\) | |||||||
\(3\) | 0.00828396 | − | 0.0523028i | 0.00478274 | − | 0.0301971i | −0.985182 | − | 0.171515i | \(-0.945134\pi\) |
0.989964 | + | 0.141318i | \(0.0451339\pi\) | |||||||
\(4\) | 1.13439 | − | 1.56135i | 0.567195 | − | 0.780676i | ||||
\(5\) | 1.85452 | + | 1.24930i | 0.829369 | + | 0.558702i | ||||
\(6\) | 0.0133307 | − | 0.00433140i | 0.00544223 | − | 0.00176829i | ||||
\(7\) | 3.21766 | − | 0.509627i | 1.21616 | − | 0.192621i | 0.484808 | − | 0.874620i | \(-0.338889\pi\) |
0.731353 | + | 0.681999i | \(0.238889\pi\) | |||||||
\(8\) | 1.02742 | + | 0.162727i | 0.363246 | + | 0.0575326i | ||||
\(9\) | 2.85050 | + | 0.926184i | 0.950168 | + | 0.308728i | ||||
\(10\) | −0.0717827 | + | 0.587500i | −0.0226997 | + | 0.185784i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | −0.0722660 | − | 0.0722660i | −0.0208614 | − | 0.0208614i | ||||
\(13\) | −2.01109 | + | 1.02470i | −0.557777 | + | 0.284202i | −0.710067 | − | 0.704134i | \(-0.751335\pi\) |
0.152290 | + | 0.988336i | \(0.451335\pi\) | |||||||
\(14\) | 0.506850 | + | 0.697619i | 0.135461 | + | 0.186447i | ||||
\(15\) | 0.0807045 | − | 0.0866478i | 0.0208378 | − | 0.0223724i | ||||
\(16\) | −1.10768 | − | 3.40910i | −0.276921 | − | 0.852275i | ||||
\(17\) | −5.92545 | − | 3.01917i | −1.43713 | − | 0.732255i | −0.450130 | − | 0.892963i | \(-0.648622\pi\) |
−0.987002 | + | 0.160708i | \(0.948622\pi\) | |||||||
\(18\) | 0.124105 | + | 0.783566i | 0.0292517 | + | 0.184688i | ||||
\(19\) | −4.96049 | + | 3.60400i | −1.13801 | + | 0.826815i | −0.986841 | − | 0.161692i | \(-0.948305\pi\) |
−0.151172 | + | 0.988507i | \(0.548305\pi\) | |||||||
\(20\) | 4.05434 | − | 1.47838i | 0.906579 | − | 0.330576i | ||||
\(21\) | − | 0.172514i | − | 0.0376457i | ||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −2.64975 | + | 2.64975i | −0.552511 | + | 0.552511i | −0.927165 | − | 0.374654i | \(-0.877762\pi\) |
0.374654 | + | 0.927165i | \(0.377762\pi\) | |||||||
\(24\) | 0.0170221 | − | 0.0523887i | 0.00347463 | − | 0.0106938i | ||||
\(25\) | 1.87852 | + | 4.63370i | 0.375705 | + | 0.926739i | ||||
\(26\) | −0.483336 | − | 0.351164i | −0.0947901 | − | 0.0688690i | ||||
\(27\) | 0.144178 | − | 0.282966i | 0.0277472 | − | 0.0544569i | ||||
\(28\) | 2.85437 | − | 5.60202i | 0.539425 | − | 1.05868i | ||||
\(29\) | 4.73172 | + | 3.43780i | 0.878659 | + | 0.638383i | 0.932896 | − | 0.360145i | \(-0.117273\pi\) |
−0.0542375 | + | 0.998528i | \(0.517273\pi\) | |||||||
\(30\) | 0.0301333 | + | 0.00862126i | 0.00550156 | + | 0.00157402i | ||||
\(31\) | 1.20231 | − | 3.70033i | 0.215941 | − | 0.664599i | −0.783144 | − | 0.621840i | \(-0.786385\pi\) |
0.999085 | − | 0.0427587i | \(-0.0136147\pi\) | |||||||
\(32\) | 2.14200 | − | 2.14200i | 0.378655 | − | 0.378655i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | − | 1.76028i | − | 0.301885i | ||||||
\(35\) | 6.60390 | + | 3.07469i | 1.11626 | + | 0.519717i | ||||
\(36\) | 4.67968 | − | 3.39999i | 0.779947 | − | 0.566664i | ||||
\(37\) | −1.01016 | − | 6.37790i | −0.166069 | − | 1.04852i | −0.920101 | − | 0.391682i | \(-0.871893\pi\) |
0.754032 | − | 0.656838i | \(-0.228107\pi\) | |||||||
\(38\) | −1.44607 | − | 0.736807i | −0.234583 | − | 0.119526i | ||||
\(39\) | 0.0369351 | + | 0.113674i | 0.00591435 | + | 0.0182025i | ||||
\(40\) | 1.70207 | + | 1.58533i | 0.269122 | + | 0.250662i | ||||
\(41\) | −1.06074 | − | 1.45998i | −0.165659 | − | 0.228010i | 0.718115 | − | 0.695925i | \(-0.245005\pi\) |
−0.883774 | + | 0.467915i | \(0.845005\pi\) | |||||||
\(42\) | 0.0406862 | − | 0.0207306i | 0.00627801 | − | 0.00319881i | ||||
\(43\) | −1.54334 | − | 1.54334i | −0.235357 | − | 0.235357i | 0.579567 | − | 0.814925i | \(-0.303222\pi\) |
−0.814925 | + | 0.579567i | \(0.803222\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 4.12925 | + | 5.27875i | 0.615552 | + | 0.786910i | ||||
\(46\) | −0.943337 | − | 0.306509i | −0.139087 | − | 0.0451923i | ||||
\(47\) | −3.47015 | − | 0.549617i | −0.506173 | − | 0.0801699i | −0.101875 | − | 0.994797i | \(-0.532484\pi\) |
−0.404298 | + | 0.914627i | \(0.632484\pi\) | |||||||
\(48\) | −0.187482 | + | 0.0296942i | −0.0270606 | + | 0.00428598i | ||||
\(49\) | 3.43622 | − | 1.11649i | 0.490888 | − | 0.159499i | ||||
\(50\) | −0.867083 | + | 0.999855i | −0.122624 | + | 0.141401i | ||||
\(51\) | −0.206997 | + | 0.284907i | −0.0289854 | + | 0.0398950i | ||||
\(52\) | −0.681439 | + | 4.30244i | −0.0944986 | + | 0.596641i | ||||
\(53\) | 4.23849 | + | 8.31850i | 0.582201 | + | 1.14263i | 0.974833 | + | 0.222938i | \(0.0715648\pi\) |
−0.392631 | + | 0.919696i | \(0.628435\pi\) | |||||||
\(54\) | 0.0840609 | 0.0114392 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 3.38880 | 0.452848 | ||||||||
\(57\) | 0.147407 | + | 0.289303i | 0.0195246 | + | 0.0383191i | ||||
\(58\) | −0.242178 | + | 1.52905i | −0.0317995 | + | 0.200774i | ||||
\(59\) | 2.41610 | − | 3.32547i | 0.314549 | − | 0.432940i | −0.622244 | − | 0.782823i | \(-0.713779\pi\) |
0.936793 | + | 0.349884i | \(0.113779\pi\) | |||||||
\(60\) | −0.0437375 | − | 0.224300i | −0.00564649 | − | 0.0289571i | ||||
\(61\) | −1.69139 | + | 0.549567i | −0.216561 | + | 0.0703649i | −0.415288 | − | 0.909690i | \(-0.636319\pi\) |
0.198727 | + | 0.980055i | \(0.436319\pi\) | |||||||
\(62\) | 1.01717 | − | 0.161104i | 0.129181 | − | 0.0204603i | ||||
\(63\) | 9.64396 | + | 1.52745i | 1.21502 | + | 0.192441i | ||||
\(64\) | −6.05562 | − | 1.96759i | −0.756953 | − | 0.245949i | ||||
\(65\) | −5.00978 | − | 0.612112i | −0.621387 | − | 0.0759231i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −8.68690 | − | 8.68690i | −1.06127 | − | 1.06127i | −0.997996 | − | 0.0632779i | \(-0.979845\pi\) |
−0.0632779 | − | 0.997996i | \(-0.520155\pi\) | |||||||
\(68\) | −11.4357 | + | 5.82680i | −1.38679 | + | 0.706604i | ||||
\(69\) | 0.116639 | + | 0.160540i | 0.0140417 | + | 0.0193267i | ||||
\(70\) | 0.0684336 | + | 1.92696i | 0.00817938 | + | 0.230315i | ||||
\(71\) | 2.13210 | + | 6.56192i | 0.253033 | + | 0.778757i | 0.994211 | + | 0.107447i | \(0.0342677\pi\) |
−0.741177 | + | 0.671309i | \(0.765732\pi\) | |||||||
\(72\) | 2.77794 | + | 1.41543i | 0.327383 | + | 0.166810i | ||||
\(73\) | −1.32615 | − | 8.37299i | −0.155214 | − | 0.979985i | −0.935183 | − | 0.354166i | \(-0.884765\pi\) |
0.779968 | − | 0.625819i | \(-0.215235\pi\) | |||||||
\(74\) | 1.38279 | − | 1.00465i | 0.160746 | − | 0.116789i | ||||
\(75\) | 0.257917 | − | 0.0598668i | 0.0297817 | − | 0.00691282i | ||||
\(76\) | 11.8334i | 1.35739i | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −0.0223708 | + | 0.0223708i | −0.00253300 | + | 0.00253300i | ||||
\(79\) | 3.77571 | − | 11.6204i | 0.424801 | − | 1.30740i | −0.478384 | − | 0.878151i | \(-0.658777\pi\) |
0.903185 | − | 0.429252i | \(-0.141223\pi\) | |||||||
\(80\) | 2.20474 | − | 7.70608i | 0.246498 | − | 0.861566i | ||||
\(81\) | 7.26074 | + | 5.27524i | 0.806749 | + | 0.586137i | ||||
\(82\) | 0.216858 | − | 0.425608i | 0.0239480 | − | 0.0470005i | ||||
\(83\) | −4.78031 | + | 9.38188i | −0.524707 | + | 1.02980i | 0.464814 | + | 0.885408i | \(0.346121\pi\) |
−0.989521 | + | 0.144387i | \(0.953879\pi\) | |||||||
\(84\) | −0.269356 | − | 0.195699i | −0.0293891 | − | 0.0213525i | ||||
\(85\) | −7.21706 | − | 13.0018i | −0.782800 | − | 1.41024i | ||||
\(86\) | 0.178525 | − | 0.549445i | 0.0192509 | − | 0.0592481i | ||||
\(87\) | 0.219004 | − | 0.219004i | 0.0234797 | − | 0.0234797i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | − | 2.26121i | − | 0.239688i | −0.992793 | − | 0.119844i | \(-0.961761\pi\) | ||
0.992793 | − | 0.119844i | \(-0.0382394\pi\) | |||||||
\(90\) | −0.748750 | + | 1.60819i | −0.0789252 | + | 0.169518i | ||||
\(91\) | −5.94880 | + | 4.32205i | −0.623603 | + | 0.453074i | ||||
\(92\) | 1.13135 | + | 7.14305i | 0.117951 | + | 0.744714i | ||||
\(93\) | −0.183578 | − | 0.0935376i | −0.0190361 | − | 0.00969940i | ||||
\(94\) | −0.287376 | − | 0.884453i | −0.0296406 | − | 0.0912243i | ||||
\(95\) | −13.7018 | + | 0.486604i | −1.40578 | + | 0.0499245i | ||||
\(96\) | −0.0942884 | − | 0.129777i | −0.00962327 | − | 0.0132453i | ||||
\(97\) | −5.99230 | + | 3.05323i | −0.608426 | + | 0.310009i | −0.730923 | − | 0.682460i | \(-0.760910\pi\) |
0.122496 | + | 0.992469i | \(0.460910\pi\) | |||||||
\(98\) | 0.676238 | + | 0.676238i | 0.0683104 | + | 0.0683104i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 9.36581 | + | 2.32338i | 0.936581 | + | 0.232338i | ||||
\(101\) | 9.98683 | + | 3.24492i | 0.993727 | + | 0.322881i | 0.760356 | − | 0.649506i | \(-0.225024\pi\) |
0.233371 | + | 0.972388i | \(0.425024\pi\) | |||||||
\(102\) | −0.0920674 | − | 0.0145820i | −0.00911603 | − | 0.00144384i | ||||
\(103\) | −14.7896 | + | 2.34244i | −1.45726 | + | 0.230808i | −0.834242 | − | 0.551399i | \(-0.814094\pi\) |
−0.623020 | + | 0.782206i | \(0.714094\pi\) | |||||||
\(104\) | −2.23298 | + | 0.725538i | −0.218961 | + | 0.0711448i | ||||
\(105\) | 0.215521 | − | 0.319932i | 0.0210327 | − | 0.0312222i | ||||
\(106\) | −1.45252 | + | 1.99923i | −0.141082 | + | 0.194182i | ||||
\(107\) | −1.02376 | + | 6.46376i | −0.0989706 | + | 0.624875i | 0.887484 | + | 0.460839i | \(0.152451\pi\) |
−0.986454 | + | 0.164036i | \(0.947549\pi\) | |||||||
\(108\) | −0.278255 | − | 0.546107i | −0.0267751 | − | 0.0525492i | ||||
\(109\) | 11.9298 | 1.14267 | 0.571333 | − | 0.820718i | \(-0.306426\pi\) | ||||
0.571333 | + | 0.820718i | \(0.306426\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −0.341950 | −0.0324565 | ||||||||
\(112\) | −5.30152 | − | 10.4048i | −0.500946 | − | 0.983162i | ||||
\(113\) | −0.824304 | + | 5.20445i | −0.0775440 | + | 0.489594i | 0.918099 | + | 0.396350i | \(0.129723\pi\) |
−0.995643 | + | 0.0932434i | \(0.970277\pi\) | |||||||
\(114\) | −0.0505163 | + | 0.0695297i | −0.00473128 | + | 0.00651205i | ||||
\(115\) | −8.22435 | + | 1.60371i | −0.766925 | + | 0.149547i | ||||
\(116\) | 10.7352 | − | 3.48809i | 0.996741 | − | 0.323861i | ||||
\(117\) | −6.68169 | + | 1.05828i | −0.617723 | + | 0.0978376i | ||||
\(118\) | 1.07462 | + | 0.170204i | 0.0989271 | + | 0.0156685i | ||||
\(119\) | −20.6047 | − | 6.69488i | −1.88883 | − | 0.613719i | ||||
\(120\) | 0.0970169 | − | 0.0758905i | 0.00885639 | − | 0.00692783i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | −0.332862 | − | 0.332862i | −0.0301359 | − | 0.0301359i | ||||
\(123\) | −0.0851480 | + | 0.0433851i | −0.00767754 | + | 0.00391190i | ||||
\(124\) | −4.41363 | − | 6.07484i | −0.396356 | − | 0.545537i | ||||
\(125\) | −2.30509 | + | 10.9401i | −0.206173 | + | 0.978516i | ||||
\(126\) | 0.798653 | + | 2.45800i | 0.0711497 | + | 0.218976i | ||||
\(127\) | 14.8718 | + | 7.57754i | 1.31966 | + | 0.672398i | 0.964914 | − | 0.262567i | \(-0.0845689\pi\) |
0.354741 | + | 0.934964i | \(0.384569\pi\) | |||||||
\(128\) | −1.21140 | − | 7.64851i | −0.107074 | − | 0.676039i | ||||
\(129\) | −0.0935061 | + | 0.0679362i | −0.00823275 | + | 0.00598145i | ||||
\(130\) | −0.457651 | − | 1.25507i | −0.0401387 | − | 0.110077i | ||||
\(131\) | − | 15.1204i | − | 1.32107i | −0.750793 | − | 0.660537i | \(-0.770329\pi\) | ||
0.750793 | − | 0.660537i | \(-0.229671\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −14.1245 | + | 14.1245i | −1.22475 | + | 1.22475i | ||||
\(134\) | 1.00485 | − | 3.09262i | 0.0868061 | − | 0.267162i | ||||
\(135\) | 0.620891 | − | 0.344646i | 0.0534378 | − | 0.0296624i | ||||
\(136\) | −5.59660 | − | 4.06617i | −0.479904 | − | 0.348671i | ||||
\(137\) | 0.230296 | − | 0.451982i | 0.0196755 | − | 0.0386154i | −0.880960 | − | 0.473192i | \(-0.843102\pi\) |
0.900635 | + | 0.434576i | \(0.143102\pi\) | |||||||
\(138\) | −0.0238458 | + | 0.0468001i | −0.00202989 | + | 0.00398389i | ||||
\(139\) | −2.68927 | − | 1.95387i | −0.228101 | − | 0.165725i | 0.467865 | − | 0.883800i | \(-0.345023\pi\) |
−0.695966 | + | 0.718075i | \(0.745023\pi\) | |||||||
\(140\) | 12.2921 | − | 6.82313i | 1.03887 | − | 0.576660i | ||||
\(141\) | −0.0574931 | + | 0.176945i | −0.00484179 | + | 0.0149015i | ||||
\(142\) | −1.29137 | + | 1.29137i | −0.108369 | + | 0.108369i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | − | 10.7436i | − | 0.895297i | ||||||
\(145\) | 4.48027 | + | 12.2868i | 0.372066 | + | 1.02036i | ||||
\(146\) | 1.81534 | − | 1.31892i | 0.150239 | − | 0.109155i | ||||
\(147\) | −0.0299304 | − | 0.188973i | −0.00246861 | − | 0.0155862i | ||||
\(148\) | −11.1041 | − | 5.65780i | −0.912748 | − | 0.465069i | ||||
\(149\) | 3.45860 | + | 10.6445i | 0.283340 | + | 0.872031i | 0.986891 | + | 0.161386i | \(0.0515965\pi\) |
−0.703551 | + | 0.710644i | \(0.748404\pi\) | |||||||
\(150\) | 0.0451124 | + | 0.0536337i | 0.00368341 | + | 0.00437917i | ||||
\(151\) | −7.94221 | − | 10.9315i | −0.646328 | − | 0.889594i | 0.352605 | − | 0.935772i | \(-0.385296\pi\) |
−0.998933 | + | 0.0461782i | \(0.985296\pi\) | |||||||
\(152\) | −5.68295 | + | 2.89561i | −0.460948 | + | 0.234865i | ||||
\(153\) | −14.0942 | − | 14.0942i | −1.13945 | − | 1.13945i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 6.85252 | − | 5.36031i | 0.550407 | − | 0.430551i | ||||
\(156\) | 0.219385 | + | 0.0712824i | 0.0175648 | + | 0.00570716i | ||||
\(157\) | −8.52292 | − | 1.34990i | −0.680203 | − | 0.107734i | −0.193234 | − | 0.981153i | \(-0.561898\pi\) |
−0.486969 | + | 0.873419i | \(0.661898\pi\) | |||||||
\(158\) | 3.19431 | − | 0.505929i | 0.254126 | − | 0.0402495i | ||||
\(159\) | 0.470193 | − | 0.152775i | 0.0372887 | − | 0.0121158i | ||||
\(160\) | 6.64838 | − | 1.29640i | 0.525600 | − | 0.102489i | ||||
\(161\) | −7.17561 | + | 9.87638i | −0.565518 | + | 0.778368i | ||||
\(162\) | −0.371618 | + | 2.34630i | −0.0291970 | + | 0.184343i | ||||
\(163\) | 3.76402 | + | 7.38730i | 0.294821 | + | 0.578618i | 0.990140 | − | 0.140083i | \(-0.0447369\pi\) |
−0.695319 | + | 0.718701i | \(0.744737\pi\) | |||||||
\(164\) | −3.48282 | −0.271963 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −2.78708 | −0.216319 | ||||||||
\(167\) | −10.2504 | − | 20.1175i | −0.793196 | − | 1.55674i | −0.830230 | − | 0.557422i | \(-0.811791\pi\) |
0.0370331 | − | 0.999314i | \(-0.488209\pi\) | |||||||
\(168\) | 0.0280727 | − | 0.177244i | 0.00216586 | − | 0.0136747i | ||||
\(169\) | −4.64673 | + | 6.39567i | −0.357441 | + | 0.491975i | ||||
\(170\) | 2.19910 | − | 3.26448i | 0.168664 | − | 0.250374i | ||||
\(171\) | −17.4779 | + | 5.67890i | −1.33656 | + | 0.434276i | ||||
\(172\) | −4.16045 | + | 0.658951i | −0.317231 | + | 0.0502445i | ||||
\(173\) | 15.1947 | + | 2.40661i | 1.15523 | + | 0.182971i | 0.704510 | − | 0.709694i | \(-0.251167\pi\) |
0.450722 | + | 0.892664i | \(0.351167\pi\) | |||||||
\(174\) | 0.0779675 | + | 0.0253332i | 0.00591070 | + | 0.00192050i | ||||
\(175\) | 8.40591 | + | 13.9523i | 0.635427 | + | 1.05470i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −0.153917 | − | 0.153917i | −0.0115691 | − | 0.0115691i | ||||
\(178\) | 0.533289 | − | 0.271724i | 0.0399717 | − | 0.0203666i | ||||
\(179\) | −7.56031 | − | 10.4059i | −0.565084 | − | 0.777772i | 0.426877 | − | 0.904310i | \(-0.359614\pi\) |
−0.991962 | + | 0.126538i | \(0.959614\pi\) | |||||||
\(180\) | 12.9262 | − | 0.459058i | 0.963460 | − | 0.0342161i | ||||
\(181\) | 0.0829977 | + | 0.255441i | 0.00616917 | + | 0.0189867i | 0.954094 | − | 0.299508i | \(-0.0968226\pi\) |
−0.947925 | + | 0.318495i | \(0.896823\pi\) | |||||||
\(182\) | −1.73417 | − | 0.883606i | −0.128546 | − | 0.0654973i | ||||
\(183\) | 0.0147325 | + | 0.0930173i | 0.00108906 | + | 0.00687604i | ||||
\(184\) | −3.15358 | + | 2.29121i | −0.232485 | + | 0.168910i | ||||
\(185\) | 6.09451 | − | 13.0900i | 0.448077 | − | 0.962393i | ||||
\(186\) | − | 0.0545356i | − | 0.00399874i | ||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | −4.79464 | + | 4.79464i | −0.349685 | + | 0.349685i | ||||
\(189\) | 0.319710 | − | 0.983966i | 0.0232555 | − | 0.0715730i | ||||
\(190\) | −1.76127 | − | 3.17299i | −0.127776 | − | 0.230193i | ||||
\(191\) | 5.93059 | + | 4.30882i | 0.429122 | + | 0.311776i | 0.781298 | − | 0.624158i | \(-0.214558\pi\) |
−0.352176 | + | 0.935934i | \(0.614558\pi\) | |||||||
\(192\) | −0.153075 | + | 0.300427i | −0.0110472 | + | 0.0216814i | ||||
\(193\) | 0.000487875 | 0 | 0.000957508i | 3.51180e−5 | 0 | 6.89229e-5i | −0.890989 | − | 0.454025i | \(-0.849988\pi\) |
0.891024 | + | 0.453956i | \(0.149988\pi\) | |||||||
\(194\) | −1.44016 | − | 1.04634i | −0.103398 | − | 0.0751227i | ||||
\(195\) | −0.0735160 | + | 0.256955i | −0.00526459 | + | 0.0184009i | ||||
\(196\) | 2.15477 | − | 6.63169i | 0.153912 | − | 0.473692i | ||||
\(197\) | −5.88080 | + | 5.88080i | −0.418990 | + | 0.418990i | −0.884855 | − | 0.465866i | \(-0.845743\pi\) |
0.465866 | + | 0.884855i | \(0.345743\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 13.4368i | − | 0.952507i | −0.879308 | − | 0.476254i | \(-0.841994\pi\) | ||
0.879308 | − | 0.476254i | \(-0.158006\pi\) | |||||||
\(200\) | 1.17600 | + | 5.06642i | 0.0831556 | + | 0.358250i | ||||
\(201\) | −0.526311 | + | 0.382388i | −0.0371231 | + | 0.0269715i | ||||
\(202\) | 0.434805 | + | 2.74525i | 0.0305928 | + | 0.193155i | ||||
\(203\) | 16.9771 | + | 8.65025i | 1.19156 | + | 0.607128i | ||||
\(204\) | 0.210025 | + | 0.646391i | 0.0147047 | + | 0.0452564i | ||||
\(205\) | −0.143218 | − | 4.03273i | −0.0100028 | − | 0.281658i | ||||
\(206\) | −2.32968 | − | 3.20652i | −0.162316 | − | 0.223409i | ||||
\(207\) | −10.0073 | + | 5.09897i | −0.695554 | + | 0.354403i | ||||
\(208\) | 5.72097 | + | 5.72097i | 0.396678 | + | 0.396678i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0.101352 | + | 0.0123836i | 0.00699397 | + | 0.000854546i | ||||
\(211\) | 8.77301 | + | 2.85052i | 0.603959 | + | 0.196238i | 0.595005 | − | 0.803722i | \(-0.297150\pi\) |
0.00895356 | + | 0.999960i | \(0.497150\pi\) | |||||||
\(212\) | 17.7962 | + | 2.81864i | 1.22225 | + | 0.193585i | ||||
\(213\) | 0.360869 | − | 0.0571561i | 0.0247264 | − | 0.00391627i | ||||
\(214\) | −1.64745 | + | 0.535289i | −0.112617 | + | 0.0365916i | ||||
\(215\) | −0.934076 | − | 4.79025i | −0.0637035 | − | 0.326693i | ||||
\(216\) | 0.194177 | − | 0.267262i | 0.0132121 | − | 0.0181849i | ||||
\(217\) | 1.98284 | − | 12.5191i | 0.134604 | − | 0.849854i | ||||
\(218\) | 1.43357 | + | 2.81355i | 0.0970939 | + | 0.190557i | ||||
\(219\) | −0.448917 | −0.0303350 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 15.0104 | 1.00971 | ||||||||
\(222\) | −0.0410913 | − | 0.0806463i | −0.00275787 | − | 0.00541262i | ||||
\(223\) | −2.01959 | + | 12.7512i | −0.135242 | + | 0.853883i | 0.823024 | + | 0.568006i | \(0.192285\pi\) |
−0.958266 | + | 0.285877i | \(0.907715\pi\) | |||||||
\(224\) | 5.80060 | − | 7.98384i | 0.387569 | − | 0.533443i | ||||
\(225\) | 1.06308 | + | 14.9482i | 0.0708719 | + | 0.996548i | ||||
\(226\) | −1.32648 | + | 0.431001i | −0.0882364 | + | 0.0286697i | ||||
\(227\) | 29.1525 | − | 4.61730i | 1.93492 | − | 0.306461i | 0.935962 | − | 0.352101i | \(-0.114533\pi\) |
0.998958 | + | 0.0456397i | \(0.0145326\pi\) | |||||||
\(228\) | 0.618921 | + | 0.0980275i | 0.0409891 | + | 0.00649203i | ||||
\(229\) | 14.0723 | + | 4.57237i | 0.929925 | + | 0.302151i | 0.734532 | − | 0.678574i | \(-0.237402\pi\) |
0.195393 | + | 0.980725i | \(0.437402\pi\) | |||||||
\(230\) | −1.36652 | − | 1.74693i | −0.0901058 | − | 0.115189i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 4.30202 | + | 4.30202i | 0.282442 | + | 0.282442i | ||||
\(233\) | −14.5234 | + | 7.40004i | −0.951459 | + | 0.484793i | −0.859593 | − | 0.510979i | \(-0.829283\pi\) |
−0.0918660 | + | 0.995771i | \(0.529283\pi\) | |||||||
\(234\) | −1.05251 | − | 1.44865i | −0.0688046 | − | 0.0947015i | ||||
\(235\) | −5.74884 | − | 5.35451i | −0.375013 | − | 0.349290i | ||||
\(236\) | −2.45144 | − | 7.54476i | −0.159575 | − | 0.491122i | ||||
\(237\) | −0.576505 | − | 0.293744i | −0.0374480 | − | 0.0190807i | ||||
\(238\) | −0.897084 | − | 5.66397i | −0.0581494 | − | 0.367141i | ||||
\(239\) | −18.3913 | + | 13.3621i | −1.18964 | + | 0.864321i | −0.993226 | − | 0.116201i | \(-0.962928\pi\) |
−0.196410 | + | 0.980522i | \(0.562928\pi\) | |||||||
\(240\) | −0.384786 | − | 0.179151i | −0.0248378 | − | 0.0115642i | ||||
\(241\) | 11.6441i | 0.750060i | 0.927013 | + | 0.375030i | \(0.122368\pi\) | ||||
−0.927013 | + | 0.375030i | \(0.877632\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 1.00975 | − | 1.00975i | 0.0647753 | − | 0.0647753i | ||||
\(244\) | −1.06063 | + | 3.26429i | −0.0678999 | + | 0.208975i | ||||
\(245\) | 7.76738 | + | 2.22228i | 0.496240 | + | 0.141976i | ||||
\(246\) | −0.0204641 | − | 0.0148680i | −0.00130474 | − | 0.000947949i | ||||
\(247\) | 6.28297 | − | 12.3310i | 0.399776 | − | 0.784604i | ||||
\(248\) | 1.83741 | − | 3.60613i | 0.116676 | − | 0.228989i | ||||
\(249\) | 0.451099 | + | 0.327743i | 0.0285872 | + | 0.0207699i | ||||
\(250\) | −2.85714 | + | 0.771013i | −0.180701 | + | 0.0487631i | ||||
\(251\) | −4.48541 | + | 13.8047i | −0.283117 | + | 0.871343i | 0.703840 | + | 0.710358i | \(0.251467\pi\) |
−0.986957 | + | 0.160985i | \(0.948533\pi\) | |||||||
\(252\) | 13.3249 | − | 13.3249i | 0.839389 | − | 0.839389i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 4.41796i | 0.277208i | ||||||||
\(255\) | −0.739814 | + | 0.269767i | −0.0463290 | + | 0.0168934i | ||||
\(256\) | −8.64418 | + | 6.28036i | −0.540261 | + | 0.392523i | ||||
\(257\) | −2.62436 | − | 16.5696i | −0.163703 | − | 1.03358i | −0.923550 | − | 0.383478i | \(-0.874726\pi\) |
0.759847 | − | 0.650102i | \(-0.225274\pi\) | |||||||
\(258\) | −0.0272586 | − | 0.0138890i | −0.00169705 | − | 0.000864689i | ||||
\(259\) | −6.50070 | − | 20.0071i | −0.403934 | − | 1.24318i | ||||
\(260\) | −6.63876 | + | 7.12766i | −0.411719 | + | 0.442039i | ||||
\(261\) | 10.3038 | + | 14.1819i | 0.637786 | + | 0.877837i | ||||
\(262\) | 3.56602 | − | 1.81698i | 0.220310 | − | 0.112253i | ||||
\(263\) | 3.67297 | + | 3.67297i | 0.226485 | + | 0.226485i | 0.811223 | − | 0.584738i | \(-0.198802\pi\) |
−0.584738 | + | 0.811223i | \(0.698802\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −2.53188 | + | 20.7220i | −0.155532 | + | 1.27294i | ||||
\(266\) | −5.02844 | − | 1.63384i | −0.308314 | − | 0.100177i | ||||
\(267\) | −0.118268 | − | 0.0187318i | −0.00723787 | − | 0.00114637i | ||||
\(268\) | −23.4176 | + | 3.70899i | −1.43046 | + | 0.226563i | ||||
\(269\) | −11.4350 | + | 3.71546i | −0.697205 | + | 0.226536i | −0.636112 | − | 0.771596i | \(-0.719459\pi\) |
−0.0610927 | + | 0.998132i | \(0.519459\pi\) | |||||||
\(270\) | 0.155893 | + | 0.105017i | 0.00948735 | + | 0.00639112i | ||||
\(271\) | 9.92117 | − | 13.6553i | 0.602668 | − | 0.829501i | −0.393281 | − | 0.919418i | \(-0.628660\pi\) |
0.995949 | + | 0.0899169i | \(0.0286601\pi\) | |||||||
\(272\) | −3.72912 | + | 23.5447i | −0.226111 | + | 1.42761i | ||||
\(273\) | 0.176776 | + | 0.346943i | 0.0106990 | + | 0.0209979i | ||||
\(274\) | 0.134270 | 0.00811157 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0.382974 | 0.0230523 | ||||||||
\(277\) | 8.95364 | + | 17.5725i | 0.537972 | + | 1.05583i | 0.986759 | + | 0.162191i | \(0.0518561\pi\) |
−0.448787 | + | 0.893639i | \(0.648144\pi\) | |||||||
\(278\) | 0.137642 | − | 0.869035i | 0.00825520 | − | 0.0521213i | ||||
\(279\) | 6.85438 | − | 9.43424i | 0.410361 | − | 0.564813i | ||||
\(280\) | 6.28462 | + | 4.23362i | 0.375578 | + | 0.253007i | ||||
\(281\) | 4.08490 | − | 1.32726i | 0.243685 | − | 0.0791779i | −0.184628 | − | 0.982808i | \(-0.559108\pi\) |
0.428313 | + | 0.903631i | \(0.359108\pi\) | |||||||
\(282\) | −0.0486400 | + | 0.00770382i | −0.00289647 | + | 0.000458756i | ||||
\(283\) | −5.95209 | − | 0.942719i | −0.353815 | − | 0.0560388i | −0.0230029 | − | 0.999735i | \(-0.507323\pi\) |
−0.330812 | + | 0.943697i | \(0.607323\pi\) | |||||||
\(284\) | 12.6641 | + | 4.11482i | 0.751476 | + | 0.244169i | ||||
\(285\) | −0.0880544 | + | 0.720675i | −0.00521589 | + | 0.0426891i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −4.15713 | − | 4.15713i | −0.245387 | − | 0.245387i | ||||
\(288\) | 8.08966 | − | 4.12189i | 0.476688 | − | 0.242884i | ||||
\(289\) | 16.0032 | + | 22.0265i | 0.941366 | + | 1.29568i | ||||
\(290\) | −2.35936 | + | 2.53311i | −0.138546 | + | 0.148749i | ||||
\(291\) | 0.110053 | + | 0.338707i | 0.00645140 | + | 0.0198554i | ||||
\(292\) | −14.5776 | − | 7.42764i | −0.853088 | − | 0.434670i | ||||
\(293\) | 1.90634 | + | 12.0362i | 0.111370 | + | 0.703161i | 0.978680 | + | 0.205392i | \(0.0658470\pi\) |
−0.867310 | + | 0.497768i | \(0.834153\pi\) | |||||||
\(294\) | 0.0409711 | − | 0.0297672i | 0.00238948 | − | 0.00173606i | ||||
\(295\) | 8.63521 | − | 3.14875i | 0.502761 | − | 0.183327i | ||||
\(296\) | − | 6.71713i | − | 0.390425i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −2.09481 | + | 2.09481i | −0.121349 | + | 0.121349i | ||||
\(299\) | 2.61369 | − | 8.04411i | 0.151154 | − | 0.465203i | ||||
\(300\) | 0.199105 | − | 0.470612i | 0.0114953 | − | 0.0271708i | ||||
\(301\) | −5.75248 | − | 4.17942i | −0.331567 | − | 0.240898i | ||||
\(302\) | 1.62372 | − | 3.18672i | 0.0934343 | − | 0.183375i | ||||
\(303\) | 0.252449 | − | 0.495459i | 0.0145028 | − | 0.0284634i | ||||
\(304\) | 17.7811 | + | 12.9187i | 1.01981 | + | 0.740938i | ||||
\(305\) | −3.82330 | − | 1.09386i | −0.218922 | − | 0.0626345i | ||||
\(306\) | 1.63034 | − | 5.01767i | 0.0932003 | − | 0.286841i | ||||
\(307\) | −0.302114 | + | 0.302114i | −0.0172426 | + | 0.0172426i | −0.715676 | − | 0.698433i | \(-0.753881\pi\) |
0.698433 | + | 0.715676i | \(0.253881\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0.792942i | 0.0451089i | ||||||||
\(310\) | 2.08764 | + | 0.971977i | 0.118570 | + | 0.0552046i | ||||
\(311\) | 20.8392 | − | 15.1406i | 1.18168 | − | 0.858542i | 0.189322 | − | 0.981915i | \(-0.439371\pi\) |
0.992360 | + | 0.123373i | \(0.0393712\pi\) | |||||||
\(312\) | 0.0194498 | + | 0.122801i | 0.00110113 | + | 0.00695225i | ||||
\(313\) | −15.6703 | − | 7.98441i | −0.885737 | − | 0.451305i | −0.0489289 | − | 0.998802i | \(-0.515581\pi\) |
−0.836808 | + | 0.547497i | \(0.815581\pi\) | |||||||
\(314\) | −0.705816 | − | 2.17228i | −0.0398315 | − | 0.122589i | ||||
\(315\) | 15.9767 | + | 14.8808i | 0.900186 | + | 0.838441i | ||||
\(316\) | −13.8605 | − | 19.0773i | −0.779714 | − | 1.07318i | ||||
\(317\) | 26.3462 | − | 13.4241i | 1.47975 | − | 0.753971i | 0.486915 | − | 0.873450i | \(-0.338122\pi\) |
0.992837 | + | 0.119478i | \(0.0381222\pi\) | |||||||
\(318\) | 0.0925327 | + | 0.0925327i | 0.00518897 | + | 0.00518897i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −8.77220 | − | 11.2142i | −0.490381 | − | 0.626893i | ||||
\(321\) | 0.329592 | + | 0.107091i | 0.0183960 | + | 0.00597724i | ||||
\(322\) | −3.19154 | − | 0.505491i | −0.177858 | − | 0.0281699i | ||||
\(323\) | 40.2742 | − | 6.37881i | 2.24092 | − | 0.354926i | ||||
\(324\) | 16.4730 | − | 5.35241i | 0.915167 | − | 0.297356i | ||||
\(325\) | −8.52605 | − | 7.39387i | −0.472940 | − | 0.410138i | ||||
\(326\) | −1.28992 | + | 1.77543i | −0.0714423 | + | 0.0983319i | ||||
\(327\) | 0.0988258 | − | 0.623962i | 0.00546508 | − | 0.0345052i | ||||
\(328\) | −0.852239 | − | 1.67261i | −0.0470570 | − | 0.0923546i | ||||
\(329\) | −11.4458 | −0.631030 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −5.67704 | −0.312038 | −0.156019 | − | 0.987754i | \(-0.549866\pi\) | ||||
−0.156019 | + | 0.987754i | \(0.549866\pi\) | |||||||
\(332\) | 9.22570 | + | 18.1065i | 0.506326 | + | 0.993721i | ||||
\(333\) | 3.02765 | − | 19.1158i | 0.165914 | − | 1.04754i | ||||
\(334\) | 3.51278 | − | 4.83493i | 0.192211 | − | 0.264556i | ||||
\(335\) | −5.25757 | − | 26.9626i | −0.287252 | − | 1.47312i | ||||
\(336\) | −0.588119 | + | 0.191091i | −0.0320845 | + | 0.0104249i | ||||
\(337\) | −14.5745 | + | 2.30838i | −0.793925 | + | 0.125745i | −0.540206 | − | 0.841533i | \(-0.681654\pi\) |
−0.253719 | + | 0.967278i | \(0.581654\pi\) | |||||||
\(338\) | −2.06675 | − | 0.327342i | −0.112417 | − | 0.0178050i | ||||
\(339\) | 0.265379 | + | 0.0862269i | 0.0144134 | + | 0.00468320i | ||||
\(340\) | −28.4873 | − | 3.48067i | −1.54494 | − | 0.188766i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −3.43959 | − | 3.43959i | −0.185992 | − | 0.185992i | ||||
\(343\) | −9.83127 | + | 5.00928i | −0.530839 | + | 0.270476i | ||||
\(344\) | −1.33451 | − | 1.83680i | −0.0719520 | − | 0.0990334i | ||||
\(345\) | 0.0157483 | + | 0.443442i | 0.000847861 | + | 0.0238741i | ||||
\(346\) | 1.25833 | + | 3.87275i | 0.0676484 | + | 0.208200i | ||||
\(347\) | −15.0418 | − | 7.66418i | −0.807486 | − | 0.411435i | 0.000964032 | − | 1.00000i | \(-0.499693\pi\) |
−0.808450 | + | 0.588565i | \(0.799693\pi\) | |||||||
\(348\) | −0.0935067 | − | 0.590378i | −0.00501249 | − | 0.0316476i | ||||
\(349\) | 7.88180 | − | 5.72646i | 0.421903 | − | 0.306530i | −0.356500 | − | 0.934295i | \(-0.616030\pi\) |
0.778403 | + | 0.627765i | \(0.216030\pi\) | |||||||
\(350\) | −2.28043 | + | 3.65908i | −0.121894 | + | 0.195586i | ||||
\(351\) | 0.716811i | 0.0382606i | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 7.02356 | − | 7.02356i | 0.373826 | − | 0.373826i | −0.495042 | − | 0.868869i | \(-0.664847\pi\) |
0.868869 | + | 0.495042i | \(0.164847\pi\) | |||||||
\(354\) | 0.0178043 | − | 0.0547959i | 0.000946286 | − | 0.00291237i | ||||
\(355\) | −4.24375 | + | 14.8329i | −0.225235 | + | 0.787247i | ||||
\(356\) | −3.53055 | − | 2.56509i | −0.187119 | − | 0.135950i | ||||
\(357\) | −0.520850 | + | 1.02223i | −0.0275663 | + | 0.0541019i | ||||
\(358\) | 1.54564 | − | 3.03349i | 0.0816896 | − | 0.160325i | ||||
\(359\) | 12.3670 | + | 8.98519i | 0.652708 | + | 0.474220i | 0.864193 | − | 0.503161i | \(-0.167830\pi\) |
−0.211485 | + | 0.977381i | \(0.567830\pi\) | |||||||
\(360\) | 3.38346 | + | 6.09541i | 0.178324 | + | 0.321256i | ||||
\(361\) | 5.74626 | − | 17.6852i | 0.302435 | − | 0.930798i | ||||
\(362\) | −0.0502700 | + | 0.0502700i | −0.00264213 | + | 0.00264213i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 14.1911i | 0.743814i | ||||||||
\(365\) | 8.00096 | − | 17.1847i | 0.418789 | − | 0.899487i | ||||
\(366\) | −0.0201670 | + | 0.0146522i | −0.00105415 | + | 0.000765883i | ||||
\(367\) | −3.21807 | − | 20.3181i | −0.167982 | − | 1.06060i | −0.917245 | − | 0.398323i | \(-0.869592\pi\) |
0.749263 | − | 0.662272i | \(-0.230408\pi\) | |||||||
\(368\) | 11.9683 | + | 6.09818i | 0.623893 | + | 0.317890i | ||||
\(369\) | −1.67142 | − | 5.14410i | −0.0870107 | − | 0.267791i | ||||
\(370\) | 3.81953 | − | 0.135646i | 0.198568 | − | 0.00705190i | ||||
\(371\) | 17.8773 | + | 24.6061i | 0.928146 | + | 1.27748i | ||||
\(372\) | −0.354294 | + | 0.180522i | −0.0183693 | + | 0.00935962i | ||||
\(373\) | 1.82945 | + | 1.82945i | 0.0947252 | + | 0.0947252i | 0.752881 | − | 0.658156i | \(-0.228663\pi\) |
−0.658156 | + | 0.752881i | \(0.728663\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0.553105 | + | 0.211190i | 0.0285622 | + | 0.0109058i | ||||
\(376\) | −3.47584 | − | 1.12937i | −0.179253 | − | 0.0582428i | ||||
\(377\) | −13.0387 | − | 2.06512i | −0.671525 | − | 0.106359i | ||||
\(378\) | 0.270479 | − | 0.0428397i | 0.0139120 | − | 0.00220344i | ||||
\(379\) | 15.3798 | − | 4.99719i | 0.790005 | − | 0.256688i | 0.113899 | − | 0.993492i | \(-0.463666\pi\) |
0.676106 | + | 0.736804i | \(0.263666\pi\) | |||||||
\(380\) | −14.7834 | + | 21.9454i | −0.758374 | + | 1.12577i | ||||
\(381\) | 0.519524 | − | 0.715063i | 0.0266160 | − | 0.0366338i | ||||
\(382\) | −0.303538 | + | 1.91646i | −0.0155304 | + | 0.0980548i | ||||
\(383\) | 2.80946 | + | 5.51388i | 0.143557 | + | 0.281746i | 0.951578 | − | 0.307407i | \(-0.0994614\pi\) |
−0.808021 | + | 0.589153i | \(0.799461\pi\) | |||||||
\(384\) | −0.410074 | −0.0209265 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0.000284447 | 0 | 1.44780e−5 | 0 | ||||||
\(387\) | −2.96988 | − | 5.82872i | −0.150967 | − | 0.296290i | ||||
\(388\) | −2.03043 | + | 12.8197i | −0.103080 | + | 0.650819i | ||||
\(389\) | −14.8260 | + | 20.4062i | −0.751708 | + | 1.03464i | 0.246151 | + | 0.969231i | \(0.420834\pi\) |
−0.997859 | + | 0.0654052i | \(0.979166\pi\) | |||||||
\(390\) | −0.0694350 | + | 0.0135395i | −0.00351598 | + | 0.000685599i | ||||
\(391\) | 23.7010 | − | 7.70092i | 1.19861 | − | 0.389452i | ||||
\(392\) | 3.71211 | − | 0.587940i | 0.187490 | − | 0.0296954i | ||||
\(393\) | −0.790839 | − | 0.125257i | −0.0398925 | − | 0.00631836i | ||||
\(394\) | −2.09362 | − | 0.680259i | −0.105475 | − | 0.0342710i | ||||
\(395\) | 21.5195 | − | 16.8334i | 1.08276 | − | 0.846982i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 2.91014 | + | 2.91014i | 0.146056 | + | 0.146056i | 0.776354 | − | 0.630298i | \(-0.217067\pi\) |
−0.630298 | + | 0.776354i | \(0.717067\pi\) | |||||||
\(398\) | 3.16896 | − | 1.61466i | 0.158845 | − | 0.0809358i | ||||
\(399\) | 0.621743 | + | 0.855756i | 0.0311261 | + | 0.0428414i | ||||
\(400\) | 13.7159 | − | 11.5367i | 0.685796 | − | 0.576837i | ||||
\(401\) | 2.38664 | + | 7.34532i | 0.119183 | + | 0.366808i | 0.992797 | − | 0.119813i | \(-0.0382294\pi\) |
−0.873613 | + | 0.486621i | \(0.838229\pi\) | |||||||
\(402\) | −0.153429 | − | 0.0781758i | −0.00765233 | − | 0.00389906i | ||||
\(403\) | 1.37378 | + | 8.67372i | 0.0684330 | + | 0.432069i | ||||
\(404\) | 16.3954 | − | 11.9120i | 0.815702 | − | 0.592642i | ||||
\(405\) | 6.87490 | + | 18.8539i | 0.341616 | + | 0.936856i | ||||
\(406\) | 5.04339i | 0.250299i | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | −0.259034 | + | 0.259034i | −0.0128241 | + | 0.0128241i | ||||
\(409\) | −8.81025 | + | 27.1151i | −0.435639 | + | 1.34076i | 0.456792 | + | 0.889573i | \(0.348998\pi\) |
−0.892431 | + | 0.451184i | \(0.851002\pi\) | |||||||
\(410\) | 0.933878 | − | 0.518381i | 0.0461210 | − | 0.0256010i | ||||
\(411\) | −0.0217322 | − | 0.0157893i | −0.00107197 | − | 0.000778831i | ||||
\(412\) | −13.1198 | + | 25.7490i | −0.646365 | + | 1.26856i | ||||
\(413\) | 6.07943 | − | 11.9315i | 0.299149 | − | 0.587113i | ||||
\(414\) | −2.40510 | − | 1.74741i | −0.118204 | − | 0.0858804i | ||||
\(415\) | −20.5859 | + | 11.4269i | −1.01052 | + | 0.560925i | ||||
\(416\) | −2.11285 | + | 6.50267i | −0.103591 | + | 0.318820i | ||||
\(417\) | −0.124471 | + | 0.124471i | −0.00609536 | + | 0.00609536i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 9.74320i | 0.475987i | 0.971267 | + | 0.237993i | \(0.0764896\pi\) | ||||
−0.971267 | + | 0.237993i | \(0.923510\pi\) | |||||||
\(420\) | −0.255042 | − | 0.699433i | −0.0124448 | − | 0.0341288i | ||||
\(421\) | 11.0603 | − | 8.03578i | 0.539046 | − | 0.391640i | −0.284685 | − | 0.958621i | \(-0.591889\pi\) |
0.823731 | + | 0.566981i | \(0.191889\pi\) | |||||||
\(422\) | 0.381958 | + | 2.41159i | 0.0185934 | + | 0.117394i | ||||
\(423\) | −9.38261 | − | 4.78068i | −0.456198 | − | 0.232445i | ||||
\(424\) | 3.00105 | + | 9.23627i | 0.145744 | + | 0.448553i | ||||
\(425\) | 2.85881 | − | 33.1283i | 0.138673 | − | 1.60696i | ||||
\(426\) | 0.0568446 | + | 0.0782399i | 0.00275413 | + | 0.00379073i | ||||
\(427\) | −5.16226 | + | 2.63030i | −0.249819 | + | 0.127289i | ||||
\(428\) | 8.93087 | + | 8.93087i | 0.431690 | + | 0.431690i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 1.01750 | − | 0.795928i | 0.0490681 | − | 0.0383830i | ||||
\(431\) | −12.0733 | − | 3.92285i | −0.581549 | − | 0.188957i | 0.00344525 | − | 0.999994i | \(-0.498903\pi\) |
−0.584994 | + | 0.811037i | \(0.698903\pi\) | |||||||
\(432\) | −1.12436 | − | 0.178082i | −0.0540960 | − | 0.00856796i | ||||
\(433\) | −2.28964 | + | 0.362644i | −0.110033 | + | 0.0174275i | −0.211208 | − | 0.977441i | \(-0.567740\pi\) |
0.101175 | + | 0.994869i | \(0.467740\pi\) | |||||||
\(434\) | 3.19081 | − | 1.03676i | 0.153164 | − | 0.0497659i | ||||
\(435\) | 0.679749 | − | 0.132548i | 0.0325915 | − | 0.00635517i | ||||
\(436\) | 13.5330 | − | 18.6266i | 0.648114 | − | 0.892053i | ||||
\(437\) | 3.59434 | − | 22.6938i | 0.171941 | − | 1.08559i | ||||
\(438\) | −0.0539453 | − | 0.105874i | −0.00257761 | − | 0.00505883i | ||||
\(439\) | 7.56372 | 0.360997 | 0.180498 | − | 0.983575i | \(-0.442229\pi\) | ||||
0.180498 | + | 0.983575i | \(0.442229\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 10.8290 | 0.515668 | ||||||||
\(442\) | 1.80376 | + | 3.54008i | 0.0857961 | + | 0.168384i | ||||
\(443\) | 1.93753 | − | 12.2331i | 0.0920547 | − | 0.581211i | −0.897941 | − | 0.440115i | \(-0.854938\pi\) |
0.989996 | − | 0.141095i | \(-0.0450624\pi\) | |||||||
\(444\) | −0.387905 | + | 0.533905i | −0.0184091 | + | 0.0253380i | ||||
\(445\) | 2.82492 | − | 4.19347i | 0.133914 | − | 0.198790i | ||||
\(446\) | −3.24996 | + | 1.05598i | −0.153890 | + | 0.0500019i | ||||
\(447\) | 0.585388 | − | 0.0927163i | 0.0276879 | − | 0.00438533i | ||||
\(448\) | −20.4877 | − | 3.24493i | −0.967952 | − | 0.153308i | ||||
\(449\) | −8.94557 | − | 2.90659i | −0.422168 | − | 0.137171i | 0.0902260 | − | 0.995921i | \(-0.471241\pi\) |
−0.512394 | + | 0.858751i | \(0.671241\pi\) | |||||||
\(450\) | −3.39767 | + | 2.04701i | −0.160168 | + | 0.0964970i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 7.19091 | + | 7.19091i | 0.338232 | + | 0.338232i | ||||
\(453\) | −0.637542 | + | 0.324844i | −0.0299543 | + | 0.0152625i | ||||
\(454\) | 4.59214 | + | 6.32054i | 0.215520 | + | 0.296638i | ||||
\(455\) | −16.4317 | + | 0.583553i | −0.770331 | + | 0.0273574i | ||||
\(456\) | 0.104371 | + | 0.321221i | 0.00488763 | + | 0.0150426i | ||||
\(457\) | 23.1653 | + | 11.8033i | 1.08363 | + | 0.552136i | 0.902222 | − | 0.431272i | \(-0.141935\pi\) |
0.181406 | + | 0.983408i | \(0.441935\pi\) | |||||||
\(458\) | 0.612678 | + | 3.86830i | 0.0286286 | + | 0.180754i | ||||
\(459\) | −1.70864 | + | 1.24140i | −0.0797527 | + | 0.0579437i | ||||
\(460\) | −6.82566 | + | 14.6603i | −0.318248 | + | 0.683542i | ||||
\(461\) | 3.81135i | 0.177512i | 0.996053 | + | 0.0887562i | \(0.0282892\pi\) | ||||
−0.996053 | + | 0.0887562i | \(0.971711\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 27.4064 | − | 27.4064i | 1.27368 | − | 1.27368i | 0.329544 | − | 0.944140i | \(-0.393105\pi\) |
0.944140 | − | 0.329544i | \(-0.106895\pi\) | |||||||
\(464\) | 6.47854 | − | 19.9389i | 0.300759 | − | 0.925640i | ||||
\(465\) | −0.223594 | − | 0.402811i | −0.0103689 | − | 0.0186799i | ||||
\(466\) | −3.49048 | − | 2.53598i | −0.161693 | − | 0.117477i | ||||
\(467\) | −9.71564 | + | 19.0680i | −0.449586 | + | 0.882362i | 0.549320 | + | 0.835612i | \(0.314887\pi\) |
−0.998907 | + | 0.0467507i | \(0.985113\pi\) | |||||||
\(468\) | −5.92730 | + | 11.6330i | −0.273989 | + | 0.537734i | ||||
\(469\) | −32.3786 | − | 23.5244i | −1.49510 | − | 1.08626i | ||||
\(470\) | 0.571996 | − | 1.99926i | 0.0263842 | − | 0.0922188i | ||||
\(471\) | −0.141207 | + | 0.434590i | −0.00650647 | + | 0.0200249i | ||||
\(472\) | 3.02348 | − | 3.02348i | 0.139167 | − | 0.139167i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | − | 0.171263i | − | 0.00786635i | ||||||
\(475\) | −26.0183 | − | 16.2152i | −1.19380 | − | 0.744004i | ||||
\(476\) | −33.8268 | + | 24.5766i | −1.55045 | + | 1.12647i | ||||
\(477\) | 4.37736 | + | 27.6375i | 0.200425 | + | 1.26544i | ||||
\(478\) | −5.36138 | − | 2.73176i | −0.245224 | − | 0.124948i | ||||
\(479\) | −0.199216 | − | 0.613123i | −0.00910240 | − | 0.0280143i | 0.946402 | − | 0.322991i | \(-0.104688\pi\) |
−0.955505 | + | 0.294976i | \(0.904688\pi\) | |||||||
\(480\) | −0.0127306 | − | 0.358468i | −0.000581069 | − | 0.0163618i | ||||
\(481\) | 8.56698 | + | 11.7914i | 0.390621 | + | 0.537643i | ||||
\(482\) | −2.74616 | + | 1.39924i | −0.125084 | + | 0.0637335i | ||||
\(483\) | 0.457120 | + | 0.457120i | 0.0207997 | + | 0.0207997i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −14.9273 | − | 1.82386i | −0.677812 | − | 0.0828173i | ||||
\(486\) | 0.359480 | + | 0.116802i | 0.0163063 | + | 0.00529825i | ||||
\(487\) | −6.86848 | − | 1.08786i | −0.311240 | − | 0.0492956i | −0.00113973 | − | 0.999999i | \(-0.500363\pi\) |
−0.310101 | + | 0.950704i | \(0.600363\pi\) | |||||||
\(488\) | −1.82719 | + | 0.289399i | −0.0827132 | + | 0.0131005i | ||||
\(489\) | 0.417558 | − | 0.135673i | 0.0188826 | − | 0.00613534i | ||||
\(490\) | 0.409279 | + | 2.09892i | 0.0184894 | + | 0.0948196i | ||||
\(491\) | −20.9009 | + | 28.7676i | −0.943243 | + | 1.29826i | 0.0112214 | + | 0.999937i | \(0.496428\pi\) |
−0.954464 | + | 0.298325i | \(0.903572\pi\) | |||||||
\(492\) | −0.0288516 | + | 0.182162i | −0.00130073 | + | 0.00821248i | ||||
\(493\) | −17.6583 | − | 34.6563i | −0.795289 | − | 1.56084i | ||||
\(494\) | 3.66318 | 0.164814 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −13.9466 | −0.626219 | ||||||||
\(497\) | 10.2045 | + | 20.0275i | 0.457734 | + | 0.898354i | ||||
\(498\) | −0.0230881 | + | 0.145772i | −0.00103460 | + | 0.00653221i | ||||
\(499\) | −5.43500 | + | 7.48064i | −0.243304 | + | 0.334879i | −0.913152 | − | 0.407619i | \(-0.866359\pi\) |
0.669848 | + | 0.742498i | \(0.266359\pi\) | |||||||
\(500\) | 14.4665 | + | 16.0094i | 0.646964 | + | 0.715963i | ||||
\(501\) | −1.13711 | + | 0.369471i | −0.0508025 | + | 0.0165067i | ||||
\(502\) | −3.79472 | + | 0.601025i | −0.169367 | + | 0.0268251i | ||||
\(503\) | −12.2947 | − | 1.94729i | −0.548193 | − | 0.0868253i | −0.123807 | − | 0.992306i | \(-0.539510\pi\) |
−0.424387 | + | 0.905481i | \(0.639510\pi\) | |||||||
\(504\) | 9.65979 | + | 3.13866i | 0.430281 | + | 0.139807i | ||||
\(505\) | 14.4670 | + | 18.4943i | 0.643771 | + | 0.822985i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0.296019 | + | 0.296019i | 0.0131466 | + | 0.0131466i | ||||
\(508\) | 28.7016 | − | 14.6242i | 1.27343 | − | 0.648843i | ||||
\(509\) | 0.837459 | + | 1.15266i | 0.0371197 | + | 0.0510909i | 0.827173 | − | 0.561947i | \(-0.189947\pi\) |
−0.790054 | + | 0.613038i | \(0.789947\pi\) | |||||||
\(510\) | −0.152524 | − | 0.142062i | −0.00675388 | − | 0.00629062i | ||||
\(511\) | −8.53421 | − | 26.2656i | −0.377531 | − | 1.16192i | ||||
\(512\) | −16.3196 | − | 8.31523i | −0.721229 | − | 0.367485i | ||||
\(513\) | 0.304616 | + | 1.92327i | 0.0134491 | + | 0.0849144i | ||||
\(514\) | 3.59244 | − | 2.61006i | 0.158456 | − | 0.115125i | ||||
\(515\) | −30.3541 | − | 14.1324i | −1.33756 | − | 0.622750i | ||||
\(516\) | 0.223062i | 0.00981976i | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 3.93734 | − | 3.93734i | 0.172997 | − | 0.172997i | ||||
\(519\) | 0.251745 | − | 0.774790i | 0.0110504 | − | 0.0340095i | ||||
\(520\) | −5.04752 | − | 1.44412i | −0.221348 | − | 0.0633287i | ||||
\(521\) | 17.9401 | + | 13.0342i | 0.785968 | + | 0.571039i | 0.906764 | − | 0.421638i | \(-0.138545\pi\) |
−0.120796 | + | 0.992677i | \(0.538545\pi\) | |||||||
\(522\) | −2.10651 | + | 4.13426i | −0.0921995 | + | 0.180952i | ||||
\(523\) | −1.19510 | + | 2.34552i | −0.0522581 | + | 0.102562i | −0.915659 | − | 0.401957i | \(-0.868330\pi\) |
0.863401 | + | 0.504519i | \(0.168330\pi\) | |||||||
\(524\) | −23.6083 | − | 17.1524i | −1.03133 | − | 0.749306i | ||||
\(525\) | 0.799380 | − | 0.324072i | 0.0348878 | − | 0.0141437i | ||||
\(526\) | −0.424869 | + | 1.30761i | −0.0185252 | + | 0.0570146i | ||||
\(527\) | −18.2961 | + | 18.2961i | −0.796992 | + | 0.796992i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 8.95763i | 0.389462i | ||||||||
\(530\) | −5.19137 | + | 1.89299i | −0.225499 | + | 0.0822261i | ||||
\(531\) | 9.96709 | − | 7.24152i | 0.432535 | − | 0.314255i | ||||
\(532\) | 6.03063 | + | 38.0759i | 0.261461 | + | 1.65080i | ||||
\(533\) | 3.62928 | + | 1.84921i | 0.157202 | + | 0.0800982i | ||||
\(534\) | −0.00979420 | − | 0.0301435i | −0.000423837 | − | 0.00130444i | ||||
\(535\) | −9.97373 | + | 10.7082i | −0.431202 | + | 0.462957i | ||||
\(536\) | −7.51147 | − | 10.3386i | −0.324446 | − | 0.446562i | ||||
\(537\) | −0.606886 | + | 0.309224i | −0.0261891 | + | 0.0133440i | ||||
\(538\) | −2.25038 | − | 2.25038i | −0.0970208 | − | 0.0970208i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0.166217 | − | 1.36039i | 0.00715285 | − | 0.0585420i | ||||
\(541\) | −26.2244 | − | 8.52083i | −1.12748 | − | 0.366339i | −0.314859 | − | 0.949138i | \(-0.601957\pi\) |
−0.812616 | + | 0.582799i | \(0.801957\pi\) | |||||||
\(542\) | 4.41270 | + | 0.698903i | 0.189542 | + | 0.0300205i | ||||
\(543\) | 0.0140478 | − | 0.00222496i | 0.000602850 | − | 9.54820e-5i | ||||
\(544\) | −19.1593 | + | 6.22525i | −0.821450 | + | 0.266905i | ||||
\(545\) | 22.1241 | + | 14.9038i | 0.947692 | + | 0.638410i | ||||
\(546\) | −0.0605809 | + | 0.0833825i | −0.00259262 | + | 0.00356844i | ||||
\(547\) | 3.71723 | − | 23.4696i | 0.158937 | − | 1.00349i | −0.771284 | − | 0.636491i | \(-0.780385\pi\) |
0.930221 | − | 0.366999i | \(-0.119615\pi\) | |||||||
\(548\) | −0.444457 | − | 0.872297i | −0.0189863 | − | 0.0372627i | ||||
\(549\) | −5.33032 | −0.227493 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −35.8615 | −1.52775 | ||||||||
\(552\) | 0.0937127 | + | 0.183922i | 0.00398868 | + | 0.00782822i | ||||
\(553\) | 6.22686 | − | 39.3148i | 0.264793 | − | 1.67184i | ||||
\(554\) | −3.06840 | + | 4.22329i | −0.130364 | + | 0.179430i | ||||
\(555\) | −0.634155 | − | 0.427197i | −0.0269184 | − | 0.0181335i | ||||
\(556\) | −6.10136 | + | 1.98245i | −0.258755 | + | 0.0840747i | ||||
\(557\) | −3.05559 | + | 0.483957i | −0.129469 | + | 0.0205059i | −0.220833 | − | 0.975312i | \(-0.570878\pi\) |
0.0913634 | + | 0.995818i | \(0.470878\pi\) | |||||||
\(558\) | 3.04866 | + | 0.482861i | 0.129060 | + | 0.0204411i | ||||
\(559\) | 4.68527 | + | 1.52234i | 0.198166 | + | 0.0643880i | ||||
\(560\) | 3.16689 | − | 25.9191i | 0.133825 | − | 1.09528i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0.803897 | + | 0.803897i | 0.0339103 | + | 0.0339103i | ||||
\(563\) | 26.1124 | − | 13.3049i | 1.10051 | − | 0.560737i | 0.193181 | − | 0.981163i | \(-0.438120\pi\) |
0.907327 | + | 0.420427i | \(0.138120\pi\) | |||||||
\(564\) | 0.211055 | + | 0.290492i | 0.00888701 | + | 0.0122319i | ||||
\(565\) | −8.03059 | + | 8.62199i | −0.337849 | + | 0.362730i | ||||
\(566\) | −0.492916 | − | 1.51704i | −0.0207188 | − | 0.0637659i | ||||
\(567\) | 26.0510 | + | 13.2736i | 1.09404 | + | 0.557441i | ||||
\(568\) | 1.12275 | + | 7.08877i | 0.0471096 | + | 0.297438i | ||||
\(569\) | 32.0463 | − | 23.2830i | 1.34345 | − | 0.976075i | 0.344142 | − | 0.938918i | \(-0.388170\pi\) |
0.999309 | − | 0.0371572i | \(-0.0118302\pi\) | |||||||
\(570\) | −0.180547 | + | 0.0658348i | −0.00756227 | + | 0.00275751i | ||||
\(571\) | − | 25.5525i | − | 1.06934i | −0.845062 | − | 0.534669i | \(-0.820436\pi\) | ||
0.845062 | − | 0.534669i | \(-0.179564\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0.274492 | − | 0.274492i | 0.0114671 | − | 0.0114671i | ||||
\(574\) | 0.480874 | − | 1.47998i | 0.0200713 | − | 0.0617731i | ||||
\(575\) | −17.2558 | − | 7.30053i | −0.719615 | − | 0.304453i | ||||
\(576\) | −15.4392 | − | 11.2173i | −0.643301 | − | 0.467385i | ||||
\(577\) | 13.4063 | − | 26.3114i | 0.558112 | − | 1.09536i | −0.423753 | − | 0.905778i | \(-0.639288\pi\) |
0.981865 | − | 0.189579i | \(-0.0607124\pi\) | |||||||
\(578\) | −3.27172 | + | 6.42111i | −0.136086 | + | 0.267083i | ||||
\(579\) | −4.60388e−5 | 0 | 3.34492e-5i | −1.91331e−6 | 0 | 1.39010e-6i | ||||
\(580\) | 24.2664 | + | 6.94273i | 1.00761 | + | 0.288281i | ||||
\(581\) | −10.6001 | + | 32.6239i | −0.439768 | + | 1.35347i | ||||
\(582\) | −0.0666567 | + | 0.0666567i | −0.00276301 | + | 0.00276301i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | − | 8.81834i | − | 0.364906i | ||||||
\(585\) | −13.7135 | − | 6.38481i | −0.566982 | − | 0.263979i | ||||
\(586\) | −2.60956 | + | 1.89595i | −0.107800 | + | 0.0783211i | ||||
\(587\) | −2.97052 | − | 18.7551i | −0.122606 | − | 0.774107i | −0.969993 | − | 0.243131i | \(-0.921826\pi\) |
0.847387 | − | 0.530976i | \(-0.178174\pi\) | |||||||
\(588\) | −0.329006 | − | 0.167637i | −0.0135680 | − | 0.00691323i | ||||
\(589\) | 7.37196 | + | 22.6886i | 0.303756 | + | 0.934866i | ||||
\(590\) | 1.78028 | + | 1.65817i | 0.0732930 | + | 0.0682657i | ||||
\(591\) | 0.258866 | + | 0.356299i | 0.0106483 | + | 0.0146562i | ||||
\(592\) | −20.6239 | + | 10.5084i | −0.847639 | + | 0.431894i | ||||
\(593\) | −10.5395 | − | 10.5395i | −0.432805 | − | 0.432805i | 0.456776 | − | 0.889582i | \(-0.349004\pi\) |
−0.889582 | + | 0.456776i | \(0.849004\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −29.8481 | − | 38.1572i | −1.22365 | − | 1.56429i | ||||
\(596\) | 20.5432 | + | 6.67489i | 0.841483 | + | 0.273414i | ||||
\(597\) | −0.702781 | − | 0.111310i | −0.0287629 | − | 0.00455560i | ||||
\(598\) | 2.21122 | − | 0.350223i | 0.0904235 | − | 0.0143217i | ||||
\(599\) | −30.4311 | + | 9.88767i | −1.24338 | + | 0.403999i | −0.855545 | − | 0.517729i | \(-0.826778\pi\) |
−0.387837 | + | 0.921728i | \(0.626778\pi\) | |||||||
\(600\) | 0.274730 | − | 0.0195381i | 0.0112158 | − | 0.000797638i | ||||
\(601\) | 2.40285 | − | 3.30724i | 0.0980142 | − | 0.134905i | −0.757193 | − | 0.653191i | \(-0.773430\pi\) |
0.855207 | + | 0.518286i | \(0.173430\pi\) | |||||||
\(602\) | 0.294422 | − | 1.85891i | 0.0119997 | − | 0.0757634i | ||||
\(603\) | −16.7164 | − | 32.8077i | −0.680743 | − | 1.33603i | ||||
\(604\) | −26.0775 | −1.06108 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0.147186 | 0.00597903 | ||||||||
\(607\) | −9.85593 | − | 19.3434i | −0.400040 | − | 0.785123i | 0.599848 | − | 0.800114i | \(-0.295228\pi\) |
−0.999888 | + | 0.0149917i | \(0.995228\pi\) | |||||||
\(608\) | −2.90558 | + | 18.3451i | −0.117837 | + | 0.743993i | ||||
\(609\) | 0.593070 | − | 0.816290i | 0.0240324 | − | 0.0330778i | ||||
\(610\) | −0.201458 | − | 1.03314i | −0.00815679 | − | 0.0418307i | ||||
\(611\) | 7.54198 | − | 2.45054i | 0.305116 | − | 0.0991382i | ||||
\(612\) | −37.9943 | + | 6.01771i | −1.53583 | + | 0.243252i | ||||
\(613\) | 9.44987 | + | 1.49671i | 0.381677 | + | 0.0604516i | 0.344325 | − | 0.938851i | \(-0.388108\pi\) |
0.0373517 | + | 0.999302i | \(0.488108\pi\) | |||||||
\(614\) | −0.107556 | − | 0.0349469i | −0.00434059 | − | 0.00141034i | ||||
\(615\) | −0.212110 | − | 0.0259163i | −0.00855309 | − | 0.00104505i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 29.1829 | + | 29.1829i | 1.17486 | + | 1.17486i | 0.981037 | + | 0.193822i | \(0.0620885\pi\) |
0.193822 | + | 0.981037i | \(0.437911\pi\) | |||||||
\(618\) | −0.187009 | + | 0.0952859i | −0.00752261 | + | 0.00383296i | ||||
\(619\) | −20.3977 | − | 28.0750i | −0.819853 | − | 1.12843i | −0.989728 | − | 0.142966i | \(-0.954336\pi\) |
0.169874 | − | 0.985466i | \(-0.445664\pi\) | |||||||
\(620\) | −0.595918 | − | 16.7799i | −0.0239326 | − | 0.673896i | ||||
\(621\) | 0.367753 | + | 1.13183i | 0.0147574 | + | 0.0454187i | ||||
\(622\) | 6.07497 | + | 3.09535i | 0.243584 | + | 0.124112i | ||||
\(623\) | −1.15237 | − | 7.27580i | −0.0461689 | − | 0.291499i | ||||
\(624\) | 0.346615 | − | 0.251831i | 0.0138757 | − | 0.0100813i | ||||
\(625\) | −17.9423 | + | 17.4090i | −0.717692 | + | 0.696361i | ||||
\(626\) | − | 4.65518i | − | 0.186058i | ||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −11.7760 | + | 11.7760i | −0.469912 | + | 0.469912i | ||||
\(629\) | −13.2703 | + | 40.8417i | −0.529121 | + | 1.62847i | ||||
\(630\) | −1.58965 | + | 5.55618i | −0.0633331 | + | 0.221363i | ||||
\(631\) | −1.75268 | − | 1.27339i | −0.0697729 | − | 0.0506930i | 0.552352 | − | 0.833611i | \(-0.313730\pi\) |
−0.622125 | + | 0.782918i | \(0.713730\pi\) | |||||||
\(632\) | 5.77018 | − | 11.3246i | 0.229525 | − | 0.450469i | ||||
\(633\) | 0.221766 | − | 0.435240i | 0.00881439 | − | 0.0172992i | ||||
\(634\) | 6.33192 | + | 4.60041i | 0.251473 | + | 0.182706i | ||||
\(635\) | 18.1135 | + | 32.6319i | 0.718811 | + | 1.29496i | ||||
\(636\) | 0.294846 | − | 0.907443i | 0.0116914 | − | 0.0359824i | ||||
\(637\) | −5.76648 | + | 5.76648i | −0.228476 | + | 0.228476i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 20.6795i | 0.818068i | ||||||||
\(640\) | 7.30866 | − | 15.6977i | 0.288900 | − | 0.620508i | ||||
\(641\) | −3.42699 | + | 2.48985i | −0.135358 | + | 0.0983433i | −0.653404 | − | 0.757010i | \(-0.726660\pi\) |
0.518046 | + | 0.855353i | \(0.326660\pi\) | |||||||
\(642\) | 0.0143497 | + | 0.0906006i | 0.000566339 | + | 0.00357572i | ||||
\(643\) | 31.6829 | + | 16.1433i | 1.24945 | + | 0.636628i | 0.948429 | − | 0.316989i | \(-0.102672\pi\) |
0.301024 | + | 0.953617i | \(0.402672\pi\) | |||||||
\(644\) | 7.28058 | + | 22.4073i | 0.286895 | + | 0.882972i | ||||
\(645\) | −0.258282 | + | 0.00917257i | −0.0101698 | + | 0.000361170i | ||||
\(646\) | 6.34404 | + | 8.73183i | 0.249603 | + | 0.343549i | ||||
\(647\) | 10.5252 | − | 5.36285i | 0.413787 | − | 0.210835i | −0.234688 | − | 0.972071i | \(-0.575407\pi\) |
0.648476 | + | 0.761236i | \(0.275407\pi\) | |||||||
\(648\) | 6.60138 | + | 6.60138i | 0.259327 | + | 0.259327i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 0.719231 | − | 2.89931i | 0.0282106 | − | 0.113720i | ||||
\(651\) | −0.638360 | − | 0.207416i | −0.0250193 | − | 0.00812927i | ||||
\(652\) | 15.8041 | + | 2.50312i | 0.618934 | + | 0.0980296i | ||||
\(653\) | 7.28406 | − | 1.15368i | 0.285047 | − | 0.0451471i | −0.0122735 | − | 0.999925i | \(-0.503907\pi\) |
0.297321 | + | 0.954778i | \(0.403907\pi\) | |||||||
\(654\) | 0.159032 | − | 0.0516727i | 0.00621865 | − | 0.00202056i | ||||
\(655\) | 18.8898 | − | 28.0411i | 0.738086 | − | 1.09566i | ||||
\(656\) | −3.80225 | + | 5.23334i | −0.148453 | + | 0.204328i | ||||
\(657\) | 3.97474 | − | 25.0955i | 0.155069 | − | 0.979069i | ||||
\(658\) | −1.37542 | − | 2.69941i | −0.0536194 | − | 0.105234i | ||||
\(659\) | −3.33083 | −0.129751 | −0.0648753 | − | 0.997893i | \(-0.520665\pi\) | ||||
−0.0648753 | + | 0.997893i | \(0.520665\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 30.8003 | 1.19799 | 0.598997 | − | 0.800751i | \(-0.295566\pi\) | ||||
0.598997 | + | 0.800751i | \(0.295566\pi\) | |||||||
\(662\) | −0.682196 | − | 1.33889i | −0.0265143 | − | 0.0520373i | ||||
\(663\) | 0.124345 | − | 0.785085i | 0.00482917 | − | 0.0304902i | ||||
\(664\) | −6.43804 | + | 8.86121i | −0.249845 | + | 0.343882i | ||||
\(665\) | −43.8398 | + | 8.54854i | −1.70003 | + | 0.331498i | ||||
\(666\) | 4.87214 | − | 1.58305i | 0.188792 | − | 0.0613421i | ||||
\(667\) | −21.6472 | + | 3.42858i | −0.838183 | + | 0.132755i | ||||
\(668\) | −43.0383 | − | 6.81660i | −1.66520 | − | 0.263742i | ||||
\(669\) | 0.650194 | + | 0.211261i | 0.0251379 | + | 0.00816781i | ||||
\(670\) | 5.72712 | − | 4.47998i | 0.221258 | − | 0.173077i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | −0.369526 | − | 0.369526i | −0.0142548 | − | 0.0142548i | ||||
\(673\) | 39.6165 | − | 20.1856i | 1.52711 | − | 0.778099i | 0.529570 | − | 0.848266i | \(-0.322353\pi\) |
0.997535 | + | 0.0701674i | \(0.0223534\pi\) | |||||||
\(674\) | −2.29580 | − | 3.15989i | −0.0884308 | − | 0.121715i | ||||
\(675\) | 1.58202 | + | 0.136521i | 0.0608921 | + | 0.00525468i | ||||
\(676\) | 4.71470 | + | 14.5104i | 0.181335 | + | 0.558091i | ||||
\(677\) | −3.65474 | − | 1.86218i | −0.140463 | − | 0.0715695i | 0.382346 | − | 0.924019i | \(-0.375116\pi\) |
−0.522809 | + | 0.852450i | \(0.675116\pi\) | |||||||
\(678\) | 0.0115540 | + | 0.0729493i | 0.000443730 | + | 0.00280160i | ||||
\(679\) | −17.7252 | + | 12.8781i | −0.680230 | + | 0.494216i | ||||
\(680\) | −5.29919 | − | 14.5326i | −0.203215 | − | 0.557300i | ||||
\(681\) | − | 1.56301i | − | 0.0598946i | ||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 31.2485 | − | 31.2485i | 1.19569 | − | 1.19569i | 0.220247 | − | 0.975444i | \(-0.429314\pi\) |
0.975444 | − | 0.220247i | \(-0.0706862\pi\) | |||||||
\(684\) | −10.9599 | + | 33.7312i | −0.419063 | + | 1.28974i | ||||
\(685\) | 0.991748 | − | 0.550503i | 0.0378928 | − | 0.0210336i | ||||
\(686\) | −2.36280 | − | 1.71667i | −0.0902121 | − | 0.0655429i | ||||
\(687\) | 0.355723 | − | 0.698145i | 0.0135717 | − | 0.0266359i | ||||
\(688\) | −3.55187 | + | 6.97094i | −0.135414 | + | 0.265764i | ||||
\(689\) | −17.0480 | − | 12.3861i | −0.649477 | − | 0.471872i | ||||
\(690\) | −0.102690 | + | 0.0570015i | −0.00390934 | + | 0.00217001i | ||||
\(691\) | −6.72923 | + | 20.7104i | −0.255992 | + | 0.787862i | 0.737641 | + | 0.675193i | \(0.235940\pi\) |
−0.993633 | + | 0.112669i | \(0.964060\pi\) | |||||||
\(692\) | 20.9943 | − | 20.9943i | 0.798083 | − | 0.798083i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 4.46847i | − | 0.169621i | ||||||
\(695\) | −2.54636 | − | 6.98319i | −0.0965889 | − | 0.264888i | ||||
\(696\) | 0.260646 | − | 0.189370i | 0.00987975 | − | 0.00717806i | ||||
\(697\) | 1.87742 | + | 11.8536i | 0.0711123 | + | 0.448985i | ||||
\(698\) | 2.29768 | + | 1.17072i | 0.0869684 | + | 0.0443126i | ||||
\(699\) | 0.266732 | + | 0.820917i | 0.0100887 | + | 0.0310499i | ||||
\(700\) | 31.3201 | + | 2.70277i | 1.18379 | + | 0.102155i | ||||
\(701\) | −19.6561 | − | 27.0543i | −0.742399 | − | 1.02183i | −0.998477 | − | 0.0551690i | \(-0.982430\pi\) |
0.256078 | − | 0.966656i | \(-0.417570\pi\) | |||||||
\(702\) | −0.169054 | + | 0.0861375i | −0.00638054 | + | 0.00325105i | ||||
\(703\) | 27.9969 | + | 27.9969i | 1.05592 | + | 1.05592i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −0.327679 | + | 0.256324i | −0.0123411 | + | 0.00965372i | ||||
\(706\) | 2.50046 | + | 0.812447i | 0.0941059 | + | 0.0305769i | ||||
\(707\) | 33.7879 | + | 5.35148i | 1.27073 | + | 0.201263i | ||||
\(708\) | −0.414920 | + | 0.0657169i | −0.0155936 | + | 0.00246979i | ||||
\(709\) | −8.60994 | + | 2.79754i | −0.323353 | + | 0.105064i | −0.466196 | − | 0.884682i | \(-0.654376\pi\) |
0.142843 | + | 0.989745i | \(0.454376\pi\) | |||||||
\(710\) | −4.00817 | + | 0.781574i | −0.150424 | + | 0.0293320i | ||||
\(711\) | 21.5254 | − | 29.6271i | 0.807264 | − | 1.11110i | ||||
\(712\) | 0.367959 | − | 2.32320i | 0.0137899 | − | 0.0870657i | ||||
\(713\) | 6.61913 | + | 12.9908i | 0.247888 | + | 0.486508i | ||||
\(714\) | −0.303673 | −0.0113647 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −24.8236 | −0.927701 | ||||||||
\(717\) | 0.546522 | + | 1.07261i | 0.0204102 | + | 0.0400573i | ||||
\(718\) | −0.632967 | + | 3.99640i | −0.0236221 | + | 0.149144i | ||||
\(719\) | −17.2063 | + | 23.6825i | −0.641688 | + | 0.883208i | −0.998704 | − | 0.0508903i | \(-0.983794\pi\) |
0.357016 | + | 0.934098i | \(0.383794\pi\) | |||||||
\(720\) | 13.4219 | − | 19.9242i | 0.500204 | − | 0.742531i | ||||
\(721\) | −46.3941 | + | 15.0744i | −1.72781 | + | 0.561398i | ||||
\(722\) | 4.86142 | − | 0.769973i | 0.180923 | − | 0.0286554i | ||||
\(723\) | 0.609017 | + | 0.0964589i | 0.0226496 | + | 0.00358734i | ||||
\(724\) | 0.492985 | + | 0.160180i | 0.0183216 | + | 0.00595306i | ||||
\(725\) | −7.04106 | + | 28.3834i | −0.261498 | + | 1.05413i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −9.16319 | − | 9.16319i | −0.339844 | − | 0.339844i | 0.516465 | − | 0.856309i | \(-0.327248\pi\) |
−0.856309 | + | 0.516465i | \(0.827248\pi\) | |||||||
\(728\) | −6.81520 | + | 3.47252i | −0.252588 | + | 0.128700i | ||||
\(729\) | 15.7813 | + | 21.7210i | 0.584491 | + | 0.804483i | ||||
\(730\) | 5.01433 | − | 0.178078i | 0.185589 | − | 0.00659096i | ||||
\(731\) | 4.48538 | + | 13.8046i | 0.165898 | + | 0.510581i | ||||
\(732\) | 0.161945 | + | 0.0825152i | 0.00598567 | + | 0.00304985i | ||||
\(733\) | 2.71639 | + | 17.1506i | 0.100332 | + | 0.633472i | 0.985691 | + | 0.168563i | \(0.0539128\pi\) |
−0.885359 | + | 0.464909i | \(0.846087\pi\) | |||||||
\(734\) | 4.40515 | − | 3.20053i | 0.162597 | − | 0.118134i | ||||
\(735\) | 0.180576 | − | 0.387847i | 0.00666066 | − | 0.0143059i | ||||
\(736\) | 11.3515i | 0.418423i | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 1.01235 | − | 1.01235i | 0.0372650 | − | 0.0372650i | ||||
\(739\) | 2.46758 | − | 7.59442i | 0.0907713 | − | 0.279365i | −0.895357 | − | 0.445349i | \(-0.853080\pi\) |
0.986129 | + | 0.165983i | \(0.0530798\pi\) | |||||||
\(740\) | −13.5245 | − | 24.3648i | −0.497170 | − | 0.895667i | ||||
\(741\) | −0.592899 | − | 0.430767i | −0.0217807 | − | 0.0158246i | ||||
\(742\) | −3.65487 | + | 7.17308i | −0.134174 | + | 0.263332i | ||||
\(743\) | 1.78572 | − | 3.50468i | 0.0655118 | − | 0.128574i | −0.855928 | − | 0.517094i | \(-0.827014\pi\) |
0.921440 | + | 0.388520i | \(0.127014\pi\) | |||||||
\(744\) | −0.173390 | − | 0.125975i | −0.00635677 | − | 0.00461847i | ||||
\(745\) | −6.88404 | + | 24.0613i | −0.252212 | + | 0.881537i | ||||
\(746\) | −0.211621 | + | 0.651301i | −0.00774798 | + | 0.0238458i | ||||
\(747\) | −22.3156 | + | 22.3156i | −0.816486 | + | 0.816486i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 21.3199i | 0.779013i | ||||||||
\(750\) | 0.0166577 | + | 0.155824i | 0.000608254 | + | 0.00568987i | ||||
\(751\) | −16.5317 | + | 12.0110i | −0.603252 | + | 0.438288i | −0.847032 | − | 0.531542i | \(-0.821613\pi\) |
0.243780 | + | 0.969831i | \(0.421613\pi\) | |||||||
\(752\) | 1.97012 | + | 12.4389i | 0.0718430 | + | 0.453599i | ||||
\(753\) | 0.684867 | + | 0.348957i | 0.0249579 | + | 0.0127167i | ||||
\(754\) | −1.07978 | − | 3.32323i | −0.0393233 | − | 0.121025i | ||||
\(755\) | −1.07234 | − | 30.1949i | −0.0390263 | − | 1.09891i | ||||
\(756\) | −1.17364 | − | 1.61538i | −0.0426850 | − | 0.0587508i | ||||
\(757\) | 28.4062 | − | 14.4737i | 1.03244 | − | 0.526055i | 0.146188 | − | 0.989257i | \(-0.453300\pi\) |
0.886253 | + | 0.463202i | \(0.153300\pi\) | |||||||
\(758\) | 3.02670 | + | 3.02670i | 0.109935 | + | 0.109935i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −14.1566 | − | 1.72971i | −0.513515 | − | 0.0627430i | ||||
\(761\) | −39.2516 | − | 12.7536i | −1.42287 | − | 0.462318i | −0.506357 | − | 0.862324i | \(-0.669008\pi\) |
−0.916513 | + | 0.400006i | \(0.869008\pi\) | |||||||
\(762\) | 0.231072 | + | 0.0365982i | 0.00837085 | + | 0.00132581i | ||||
\(763\) | 38.3860 | − | 6.07974i | 1.38967 | − | 0.220102i | ||||
\(764\) | 13.4552 | − | 4.37186i | 0.486792 | − | 0.158168i | ||||
\(765\) | −8.53023 | − | 43.7459i | −0.308411 | − | 1.58163i | ||||
\(766\) | −0.962798 | + | 1.32518i | −0.0347873 | + | 0.0478806i | ||||
\(767\) | −1.45137 | + | 9.16362i | −0.0524061 | + | 0.330879i | ||||
\(768\) | 0.256873 | + | 0.504141i | 0.00926910 | + | 0.0181916i | ||||
\(769\) | 30.5832 | 1.10286 | 0.551430 | − | 0.834221i | \(-0.314082\pi\) | ||||
0.551430 | + | 0.834221i | \(0.314082\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −0.888375 | −0.0319940 | ||||||||
\(772\) | −0.000941568 | − | 0.00184793i | −3.38878e−5 | − | 6.65085e-5i | ||||
\(773\) | −3.58628 | + | 22.6429i | −0.128990 | + | 0.814408i | 0.835346 | + | 0.549725i | \(0.185267\pi\) |
−0.964335 | + | 0.264683i | \(0.914733\pi\) | |||||||
\(774\) | 1.01777 | − | 1.40085i | 0.0365831 | − | 0.0503524i | ||||
\(775\) | 19.4048 | − | 1.38002i | 0.697040 | − | 0.0495716i | ||||
\(776\) | −6.65343 | + | 2.16183i | −0.238844 | + | 0.0776052i | ||||
\(777\) | −1.10028 | + | 0.174267i | −0.0394723 | + | 0.00625180i | ||||
\(778\) | −6.59425 | − | 1.04443i | −0.236415 | − | 0.0374445i | ||||
\(779\) | 10.5235 | + | 3.41930i | 0.377044 | + | 0.122509i | ||||
\(780\) | 0.317802 | + | 0.406271i | 0.0113791 | + | 0.0145468i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 4.66429 | + | 4.66429i | 0.166795 | + | 0.166795i | ||||
\(783\) | 1.65499 | − | 0.843261i | 0.0591446 | − | 0.0301357i | ||||
\(784\) | −7.61248 | − | 10.4777i | −0.271874 | − | 0.374203i | ||||
\(785\) | −14.1195 | − | 13.1511i | −0.503948 | − | 0.469381i | ||||
\(786\) | −0.0654924 | − | 0.201565i | −0.00233604 | − | 0.00718958i | ||||
\(787\) | 0.709986 | + | 0.361756i | 0.0253083 | + | 0.0128952i | 0.466599 | − | 0.884469i | \(-0.345479\pi\) |
−0.441291 | + | 0.897364i | \(0.645479\pi\) | |||||||
\(788\) | 2.51089 | + | 15.8531i | 0.0894467 | + | 0.564744i | ||||
\(789\) | 0.222533 | − | 0.161680i | 0.00792240 | − | 0.00575596i | ||||
\(790\) | 6.55598 | + | 3.05238i | 0.233251 | + | 0.108599i | ||||
\(791\) | 17.1662i | 0.610361i | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 2.83841 | − | 2.83841i | 0.100795 | − | 0.100795i | ||||
\(794\) | −0.336629 | + | 1.03604i | −0.0119465 | + | 0.0367676i | ||||
\(795\) | 1.06284 | + | 0.304085i | 0.0376952 | + | 0.0107848i | ||||
\(796\) | −20.9795 | − | 15.2425i | −0.743600 | − | 0.540257i | ||||
\(797\) | 11.8166 | − | 23.1914i | 0.418567 | − | 0.821483i | −0.581403 | − | 0.813616i | \(-0.697496\pi\) |
0.999969 | − | 0.00786699i | \(-0.00250417\pi\) | |||||||
\(798\) | −0.127110 | + | 0.249467i | −0.00449964 | + | 0.00883104i | ||||
\(799\) | 18.9028 | + | 13.7337i | 0.668732 | + | 0.485862i | ||||
\(800\) | 13.9492 | + | 5.90158i | 0.493177 | + | 0.208652i | ||||
\(801\) | 2.09430 | − | 6.44559i | 0.0739984 | − | 0.227744i | ||||
\(802\) | −1.44554 | + | 1.44554i | −0.0510438 | + | 0.0510438i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 1.25553i | 0.0442793i | ||||||||
\(805\) | −25.6459 | + | 9.35154i | −0.903898 | + | 0.329598i | ||||
\(806\) | −1.88054 | + | 1.36630i | −0.0662394 | + | 0.0481257i | ||||
\(807\) | 0.0996020 | + | 0.628862i | 0.00350616 | + | 0.0221370i | ||||
\(808\) | 9.73259 | + | 4.95900i | 0.342391 | + | 0.174457i | ||||
\(809\) | −16.9994 | − | 52.3189i | −0.597669 | − | 1.83943i | −0.540967 | − | 0.841044i | \(-0.681942\pi\) |
−0.0567012 | − | 0.998391i | \(-0.518058\pi\) | |||||||
\(810\) | −3.62040 | + | 3.88701i | −0.127208 | + | 0.136576i | ||||
\(811\) | 32.2550 | + | 44.3952i | 1.13263 | + | 1.55892i | 0.782985 | + | 0.622041i | \(0.213696\pi\) |
0.349640 | + | 0.936884i | \(0.386304\pi\) | |||||||
\(812\) | 32.7647 | − | 16.6944i | 1.14982 | − | 0.585860i | ||||
\(813\) | −0.632025 | − | 0.632025i | −0.0221661 | − | 0.0221661i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −2.24846 | + | 18.4023i | −0.0787600 | + | 0.644605i | ||||
\(816\) | 1.20056 | + | 0.390087i | 0.0420281 | + | 0.0136558i | ||||
\(817\) | 13.2179 | + | 2.09352i | 0.462437 | + | 0.0732428i | ||||
\(818\) | −7.45360 | + | 1.18053i | −0.260609 | + | 0.0412764i | ||||
\(819\) | −20.9601 | + | 6.81034i | −0.732405 | + | 0.237973i | ||||
\(820\) | −6.45898 | − | 4.35108i | −0.225558 | − | 0.151946i | ||||
\(821\) | 8.44928 | − | 11.6294i | 0.294882 | − | 0.405870i | −0.635710 | − | 0.771928i | \(-0.719293\pi\) |
0.930592 | + | 0.366058i | \(0.119293\pi\) | |||||||
\(822\) | 0.00111229 | − | 0.00702272i | 3.87956e−5 | − | 0.000244946i | ||||
\(823\) | 2.16976 | + | 4.25839i | 0.0756331 | + | 0.148438i | 0.925727 | − | 0.378194i | \(-0.123455\pi\) |
−0.850093 | + | 0.526632i | \(0.823455\pi\) | |||||||
\(824\) | −15.5762 | −0.542624 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 3.54451 | 0.123329 | ||||||||
\(827\) | 15.0793 | + | 29.5949i | 0.524360 | + | 1.02912i | 0.989589 | + | 0.143924i | \(0.0459722\pi\) |
−0.465228 | + | 0.885191i | \(0.654028\pi\) | |||||||
\(828\) | −3.39087 | + | 21.4091i | −0.117841 | + | 0.744018i | ||||
\(829\) | 27.0368 | − | 37.2129i | 0.939025 | − | 1.29246i | −0.0172078 | − | 0.999852i | \(-0.505478\pi\) |
0.956233 | − | 0.292606i | \(-0.0945223\pi\) | |||||||
\(830\) | −5.16871 | − | 3.48189i | −0.179409 | − | 0.120858i | ||||
\(831\) | 0.993264 | − | 0.322731i | 0.0344559 | − | 0.0111954i | ||||
\(832\) | 14.1946 | − | 2.24821i | 0.492110 | − | 0.0779426i | ||||
\(833\) | −23.7320 | − | 3.75878i | −0.822265 | − | 0.130234i | ||||
\(834\) | −0.0443128 | − | 0.0143981i | −0.00153443 | − | 0.000498565i | ||||
\(835\) | 6.12310 | − | 50.1140i | 0.211899 | − | 1.73427i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −0.873721 | − | 0.873721i | −0.0302002 | − | 0.0302002i | ||||
\(838\) | −2.29786 | + | 1.17082i | −0.0793782 | + | 0.0404452i | ||||
\(839\) | 15.4621 | + | 21.2818i | 0.533812 | + | 0.734730i | 0.987705 | − | 0.156326i | \(-0.0499652\pi\) |
−0.453893 | + | 0.891056i | \(0.649965\pi\) | |||||||
\(840\) | 0.273492 | − | 0.293632i | 0.00943636 | − | 0.0101313i | ||||
\(841\) | 1.60925 | + | 4.95277i | 0.0554914 | + | 0.170785i | ||||
\(842\) | 3.22426 | + | 1.64284i | 0.111115 | + | 0.0566162i | ||||
\(843\) | −0.0355806 | − | 0.224647i | −0.00122546 | − | 0.00773725i | ||||
\(844\) | 14.4027 | − | 10.4642i | 0.495761 | − | 0.360191i | ||||
\(845\) | −16.6076 | + | 6.05580i | −0.571317 | + | 0.208326i | ||||
\(846\) | − | 2.78730i | − | 0.0958293i | ||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 23.6637 | − | 23.6637i | 0.812614 | − | 0.812614i | ||||
\(849\) | −0.0986137 | + | 0.303502i | −0.00338441 | + | 0.0104162i | ||||
\(850\) | 8.15659 | − | 3.30672i | 0.279769 | − | 0.113420i | ||||
\(851\) | 19.5765 | + | 14.2232i | 0.671074 | + | 0.487564i | ||||
\(852\) | 0.320125 | − | 0.628282i | 0.0109673 | − | 0.0215246i | ||||
\(853\) | −12.8963 | + | 25.3103i | −0.441559 | + | 0.866609i | 0.557770 | + | 0.829995i | \(0.311657\pi\) |
−0.999330 | + | 0.0366135i | \(0.988343\pi\) | |||||||
\(854\) | −1.24067 | − | 0.901401i | −0.0424549 | − | 0.0308453i | ||||
\(855\) | −39.5077 | − | 11.3033i | −1.35114 | − | 0.386566i | ||||
\(856\) | −2.10365 | + | 6.47438i | −0.0719014 | + | 0.221290i | ||||
\(857\) | −6.72032 | + | 6.72032i | −0.229562 | + | 0.229562i | −0.812510 | − | 0.582948i | \(-0.801899\pi\) |
0.582948 | + | 0.812510i | \(0.301899\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 18.6345i | 0.635803i | 0.948124 | + | 0.317901i | \(0.102978\pi\) | ||||
−0.948124 | + | 0.317901i | \(0.897022\pi\) | |||||||
\(860\) | −8.53888 | − | 3.97559i | −0.291173 | − | 0.135567i | ||||
\(861\) | −0.251867 | + | 0.182992i | −0.00858361 | + | 0.00623635i | ||||
\(862\) | −0.525644 | − | 3.31879i | −0.0179035 | − | 0.113038i | ||||
\(863\) | −4.16211 | − | 2.12070i | −0.141680 | − | 0.0721896i | 0.381713 | − | 0.924281i | \(-0.375334\pi\) |
−0.523393 | + | 0.852091i | \(0.675334\pi\) | |||||||
\(864\) | −0.297283 | − | 0.914943i | −0.0101138 | − | 0.0311270i | ||||
\(865\) | 25.1724 | + | 23.4458i | 0.855887 | + | 0.797181i | ||||
\(866\) | −0.360667 | − | 0.496416i | −0.0122560 | − | 0.0168689i | ||||
\(867\) | 1.28462 | − | 0.654547i | 0.0436280 | − | 0.0222296i | ||||
\(868\) | −17.2975 | − | 17.2975i | −0.587115 | − | 0.587115i | ||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 0.112944 | + | 0.144385i | 0.00382916 | + | 0.00489513i | ||||
\(871\) | 26.3717 | + | 8.56867i | 0.893570 | + | 0.290338i | ||||
\(872\) | 12.2569 | + | 1.94129i | 0.415069 | + | 0.0657405i | ||||
\(873\) | −19.9089 | + | 3.15326i | −0.673815 | + | 0.106722i | ||||
\(874\) | 5.78407 | − | 1.87936i | 0.195649 | − | 0.0635702i | ||||
\(875\) | −1.84159 | + | 36.3764i | −0.0622572 | + | 1.22975i | ||||
\(876\) | −0.509247 | + | 0.700918i | −0.0172059 | + | 0.0236818i | ||||
\(877\) | −1.36024 | + | 8.58821i | −0.0459320 | + | 0.290003i | −0.999953 | − | 0.00973782i | \(-0.996900\pi\) |
0.954021 | + | 0.299741i | \(0.0969003\pi\) | |||||||
\(878\) | 0.908914 | + | 1.78384i | 0.0306744 | + | 0.0602018i | ||||
\(879\) | 0.645318 | 0.0217660 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −36.3819 | −1.22574 | −0.612868 | − | 0.790185i | \(-0.709984\pi\) | ||||
−0.612868 | + | 0.790185i | \(0.709984\pi\) | |||||||
\(882\) | 1.30130 | + | 2.55394i | 0.0438170 | + | 0.0859956i | ||||
\(883\) | 7.13911 | − | 45.0746i | 0.240250 | − | 1.51688i | −0.512565 | − | 0.858649i | \(-0.671305\pi\) |
0.752815 | − | 0.658232i | \(-0.228695\pi\) | |||||||
\(884\) | 17.0276 | − | 23.4365i | 0.572701 | − | 0.788255i | ||||
\(885\) | −0.0931550 | − | 0.477730i | −0.00313137 | − | 0.0160587i | ||||
\(886\) | 3.11790 | − | 1.01307i | 0.104748 | − | 0.0340347i | ||||
\(887\) | 54.5492 | − | 8.63974i | 1.83158 | − | 0.290094i | 0.857198 | − | 0.514986i | \(-0.172203\pi\) |
0.974384 | + | 0.224892i | \(0.0722030\pi\) | |||||||
\(888\) | −0.351325 | − | 0.0556444i | −0.0117897 | − | 0.00186730i | ||||
\(889\) | 51.7140 | + | 16.8029i | 1.73443 | + | 0.563551i | ||||
\(890\) | 1.32846 | + | 0.162316i | 0.0445301 | + | 0.00544084i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 17.6181 | + | 17.6181i | 0.589898 | + | 0.589898i | ||||
\(893\) | 19.1944 | − | 9.78005i | 0.642317 | − | 0.327277i | ||||
\(894\) | 0.0922111 | + | 0.126918i | 0.00308400 | + | 0.00424476i | ||||
\(895\) | −1.02077 | − | 28.7430i | −0.0341207 | − | 0.960773i | ||||
\(896\) | −7.79577 | − | 23.9929i | −0.260439 | − | 0.801547i | ||||
\(897\) | −0.399078 | − | 0.203340i | −0.0133248 | − | 0.00678934i | ||||
\(898\) | −0.389470 | − | 2.45902i | −0.0129968 | − | 0.0820586i | ||||
\(899\) | 18.4100 | − | 13.3756i | 0.614007 | − | 0.446102i | ||||
\(900\) | 24.5454 | + | 15.2973i | 0.818180 | + | 0.509909i | ||||
\(901\) | − | 62.0875i | − | 2.06844i | ||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −0.266249 | + | 0.266249i | −0.00886020 | + | 0.00886020i | ||||
\(904\) | −1.69381 | + | 5.21300i | −0.0563352 | + | 0.173382i | ||||
\(905\) | −0.165199 | + | 0.577409i | −0.00549141 | + | 0.0191937i | ||||
\(906\) | −0.153224 | − | 0.111324i | −0.00509052 | − | 0.00369848i | ||||
\(907\) | −2.25236 | + | 4.42051i | −0.0747884 | + | 0.146780i | −0.925373 | − | 0.379058i | \(-0.876248\pi\) |
0.850585 | + | 0.525838i | \(0.176248\pi\) | |||||||
\(908\) | 25.8611 | − | 50.7552i | 0.858229 | − | 1.68437i | ||||
\(909\) | 25.4621 | + | 18.4993i | 0.844524 | + | 0.613583i | ||||
\(910\) | −2.11219 | − | 3.80517i | −0.0700183 | − | 0.126140i | ||||
\(911\) | 15.9456 | − | 49.0756i | 0.528302 | − | 1.62595i | −0.229390 | − | 0.973335i | \(-0.573673\pi\) |
0.757692 | − | 0.652612i | \(-0.226327\pi\) | |||||||
\(912\) | 0.822982 | − | 0.822982i | 0.0272516 | − | 0.0272516i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 6.88173i | 0.227628i | ||||||||
\(915\) | −0.0888843 | + | 0.190908i | −0.00293842 | + | 0.00631123i | ||||
\(916\) | 23.1026 | − | 16.7850i | 0.763331 | − | 0.554592i | ||||
\(917\) | −7.70576 | − | 48.6522i | −0.254467 | − | 1.60664i | ||||
\(918\) | −0.498098 | − | 0.253794i | −0.0164397 | − | 0.00837644i | ||||
\(919\) | −4.76556 | − | 14.6669i | −0.157201 | − | 0.483816i | 0.841176 | − | 0.540761i | \(-0.181864\pi\) |
−0.998377 | + | 0.0569458i | \(0.981864\pi\) | |||||||
\(920\) | −8.71079 | + | 0.309354i | −0.287186 | + | 0.0101991i | ||||
\(921\) | 0.0132987 | + | 0.0183041i | 0.000438208 | + | 0.000603141i | ||||
\(922\) | −0.898877 | + | 0.458001i | −0.0296030 | + | 0.0150835i | ||||
\(923\) | −11.0119 | − | 11.0119i | −0.362460 | − | 0.362460i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 27.6556 | − | 16.6618i | 0.909312 | − | 0.547837i | ||||
\(926\) | 9.75695 | + | 3.17023i | 0.320633 | + | 0.104180i | ||||
\(927\) | −44.3273 | − | 7.02075i | −1.45590 | − | 0.230592i | ||||
\(928\) | 17.4991 | − | 2.77158i | 0.574436 | − | 0.0909817i | ||||
\(929\) | 43.9441 | − | 14.2783i | 1.44176 | − | 0.468456i | 0.519314 | − | 0.854584i | \(-0.326188\pi\) |
0.922445 | + | 0.386128i | \(0.126188\pi\) | |||||||
\(930\) | 0.0681310 | − | 0.101138i | 0.00223410 | − | 0.00331643i | ||||
\(931\) | −13.0215 | + | 17.9225i | −0.426761 | + | 0.587386i | ||||
\(932\) | −4.92111 | + | 31.0707i | −0.161196 | + | 1.01775i | ||||
\(933\) | −0.619263 | − | 1.21537i | −0.0202738 | − | 0.0397895i | ||||
\(934\) | −5.66455 | −0.185350 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −7.03708 | −0.230014 | ||||||||
\(937\) | 8.65373 | + | 16.9839i | 0.282705 | + | 0.554840i | 0.988070 | − | 0.154004i | \(-0.0492170\pi\) |
−0.705365 | + | 0.708844i | \(0.749217\pi\) | |||||||
\(938\) | 1.65719 | − | 10.4631i | 0.0541092 | − | 0.341632i | ||||
\(939\) | −0.547419 | + | 0.753458i | −0.0178643 | + | 0.0245882i | ||||
\(940\) | −14.8817 | + | 2.90186i | −0.485388 | + | 0.0946482i | ||||
\(941\) | 40.2892 | − | 13.0908i | 1.31339 | − | 0.426747i | 0.433171 | − | 0.901312i | \(-0.357395\pi\) |
0.880220 | + | 0.474565i | \(0.157395\pi\) | |||||||
\(942\) | −0.119463 | + | 0.0189211i | −0.00389232 | + | 0.000616483i | ||||
\(943\) | 6.67926 | + | 1.05789i | 0.217507 | + | 0.0344497i | ||||
\(944\) | −14.0131 | − | 4.55314i | −0.456089 | − | 0.148192i | ||||
\(945\) | 1.82217 | − | 1.42538i | 0.0592753 | − | 0.0463675i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 7.32770 | + | 7.32770i | 0.238118 | + | 0.238118i | 0.816071 | − | 0.577952i | \(-0.196148\pi\) |
−0.577952 | + | 0.816071i | \(0.696148\pi\) | |||||||
\(948\) | −1.11262 | + | 0.566907i | −0.0361362 | + | 0.0184123i | ||||
\(949\) | 11.2469 | + | 15.4800i | 0.365088 | + | 0.502501i | ||||
\(950\) | 0.697673 | − | 8.08474i | 0.0226355 | − | 0.262304i | ||||
\(951\) | −0.483866 | − | 1.48919i | −0.0156904 | − | 0.0482902i | ||||
\(952\) | −20.0802 | − | 10.2314i | −0.650802 | − | 0.331600i | ||||
\(953\) | 9.20578 | + | 58.1230i | 0.298205 | + | 1.88279i | 0.447940 | + | 0.894064i | \(0.352158\pi\) |
−0.149736 | + | 0.988726i | \(0.547842\pi\) | |||||||
\(954\) | −5.99208 | + | 4.35350i | −0.194001 | + | 0.140950i | ||||
\(955\) | 5.61543 | + | 15.3999i | 0.181711 | + | 0.498328i | ||||
\(956\) | 43.8731i | 1.41896i | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0.120661 | − | 0.120661i | 0.00389838 | − | 0.00389838i | ||||
\(959\) | 0.510672 | − | 1.57169i | 0.0164905 | − | 0.0507525i | ||||
\(960\) | −0.659204 | + | 0.365913i | −0.0212757 | + | 0.0118098i | ||||
\(961\) | 12.8326 | + | 9.32345i | 0.413956 | + | 0.300757i | ||||
\(962\) | −1.75144 | + | 3.43740i | −0.0564688 | + | 0.110826i | ||||
\(963\) | −8.90486 | + | 17.4768i | −0.286955 | + | 0.563181i | ||||
\(964\) | 18.1805 | + | 13.2089i | 0.585554 | + | 0.425430i | ||||
\(965\) | 0.00210099 | − | 0.00116622i | 6.76331e−5 | − | 3.75420e-5i | ||||
\(966\) | −0.0528772 | + | 0.162739i | −0.00170130 | + | 0.00523605i | ||||
\(967\) | −4.75477 | + | 4.75477i | −0.152903 | + | 0.152903i | −0.779413 | − | 0.626510i | \(-0.784483\pi\) |
0.626510 | + | 0.779413i | \(0.284483\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | − | 2.15930i | − | 0.0693666i | ||||||
\(970\) | −1.36363 | − | 3.73965i | −0.0437835 | − | 0.120073i | ||||
\(971\) | −10.4004 | + | 7.55635i | −0.333766 | + | 0.242495i | −0.742027 | − | 0.670370i | \(-0.766135\pi\) |
0.408261 | + | 0.912865i | \(0.366135\pi\) | |||||||
\(972\) | −0.431125 | − | 2.72202i | −0.0138283 | − | 0.0873088i | ||||
\(973\) | −9.64890 | − | 4.91636i | −0.309330 | − | 0.157611i | ||||
\(974\) | −0.568805 | − | 1.75060i | −0.0182257 | − | 0.0560929i | ||||
\(975\) | −0.457350 | + | 0.384686i | −0.0146469 | + | 0.0123198i | ||||
\(976\) | 3.74706 | + | 5.15738i | 0.119940 | + | 0.165084i | ||||
\(977\) | 37.8701 | − | 19.2958i | 1.21157 | − | 0.617326i | 0.272867 | − | 0.962052i | \(-0.412028\pi\) |
0.938703 | + | 0.344726i | \(0.112028\pi\) | |||||||
\(978\) | 0.0821743 | + | 0.0821743i | 0.00262764 | + | 0.00262764i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 12.2810 | − | 9.60669i | 0.392302 | − | 0.306874i | ||||
\(981\) | 34.0059 | + | 11.0492i | 1.08572 | + | 0.352773i | ||||
\(982\) | −9.29621 | − | 1.47238i | −0.296654 | − | 0.0469854i | ||||
\(983\) | −19.1684 | + | 3.03597i | −0.611376 | + | 0.0968325i | −0.454442 | − | 0.890776i | \(-0.650161\pi\) |
−0.156935 | + | 0.987609i | \(0.550161\pi\) | |||||||
\(984\) | −0.0945423 | + | 0.0307186i | −0.00301390 | + | 0.000979275i | ||||
\(985\) | −18.2529 | + | 3.55923i | −0.581587 | + | 0.113407i | ||||
\(986\) | 6.05147 | − | 8.32914i | 0.192718 | − | 0.265254i | ||||
\(987\) | −0.0948169 | + | 0.598650i | −0.00301805 | + | 0.0190552i | ||||
\(988\) | −12.1257 | − | 23.7981i | −0.385771 | − | 0.757118i | ||||
\(989\) | 8.17894 | 0.260075 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 10.1982 | 0.323957 | 0.161978 | − | 0.986794i | \(-0.448213\pi\) | ||||
0.161978 | + | 0.986794i | \(0.448213\pi\) | |||||||
\(992\) | −5.35075 | − | 10.5014i | −0.169887 | − | 0.333421i | ||||
\(993\) | −0.0470284 | + | 0.296925i | −0.00149240 | + | 0.00942264i | ||||
\(994\) | −3.49707 | + | 4.81330i | −0.110920 | + | 0.152669i | ||||
\(995\) | 16.7865 | − | 24.9188i | 0.532168 | − | 0.789980i | ||||
\(996\) | 1.02344 | − | 0.332537i | 0.0324291 | − | 0.0105368i | ||||
\(997\) | −20.0681 | + | 3.17847i | −0.635563 | + | 0.100663i | −0.465898 | − | 0.884839i | \(-0.654269\pi\) |
−0.169665 | + | 0.985502i | \(0.554269\pi\) | |||||||
\(998\) | −2.41736 | − | 0.382872i | −0.0765202 | − | 0.0121196i | ||||
\(999\) | −1.95037 | − | 0.633714i | −0.0617070 | − | 0.0200498i |
(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 | 605.2.m.g.112.11 | 160 | ||
5.3 | odd | 4 | inner | 605.2.m.g.233.11 | 160 | ||
11.2 | odd | 10 | inner | 605.2.m.g.602.10 | 160 | ||
11.3 | even | 5 | inner | 605.2.m.g.282.11 | 160 | ||
11.4 | even | 5 | 605.2.e.c.362.10 | ✓ | 40 | ||
11.5 | even | 5 | inner | 605.2.m.g.457.10 | 160 | ||
11.6 | odd | 10 | inner | 605.2.m.g.457.11 | 160 | ||
11.7 | odd | 10 | 605.2.e.c.362.11 | yes | 40 | ||
11.8 | odd | 10 | inner | 605.2.m.g.282.10 | 160 | ||
11.9 | even | 5 | inner | 605.2.m.g.602.11 | 160 | ||
11.10 | odd | 2 | inner | 605.2.m.g.112.10 | 160 | ||
55.3 | odd | 20 | inner | 605.2.m.g.403.10 | 160 | ||
55.8 | even | 20 | inner | 605.2.m.g.403.11 | 160 | ||
55.13 | even | 20 | inner | 605.2.m.g.118.11 | 160 | ||
55.18 | even | 20 | 605.2.e.c.483.10 | yes | 40 | ||
55.28 | even | 20 | inner | 605.2.m.g.578.11 | 160 | ||
55.38 | odd | 20 | inner | 605.2.m.g.578.10 | 160 | ||
55.43 | even | 4 | inner | 605.2.m.g.233.10 | 160 | ||
55.48 | odd | 20 | 605.2.e.c.483.11 | yes | 40 | ||
55.53 | odd | 20 | inner | 605.2.m.g.118.10 | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
605.2.e.c.362.10 | ✓ | 40 | 11.4 | even | 5 | ||
605.2.e.c.362.11 | yes | 40 | 11.7 | odd | 10 | ||
605.2.e.c.483.10 | yes | 40 | 55.18 | even | 20 | ||
605.2.e.c.483.11 | yes | 40 | 55.48 | odd | 20 | ||
605.2.m.g.112.10 | 160 | 11.10 | odd | 2 | inner | ||
605.2.m.g.112.11 | 160 | 1.1 | even | 1 | trivial | ||
605.2.m.g.118.10 | 160 | 55.53 | odd | 20 | inner | ||
605.2.m.g.118.11 | 160 | 55.13 | even | 20 | inner | ||
605.2.m.g.233.10 | 160 | 55.43 | even | 4 | inner | ||
605.2.m.g.233.11 | 160 | 5.3 | odd | 4 | inner | ||
605.2.m.g.282.10 | 160 | 11.8 | odd | 10 | inner | ||
605.2.m.g.282.11 | 160 | 11.3 | even | 5 | inner | ||
605.2.m.g.403.10 | 160 | 55.3 | odd | 20 | inner | ||
605.2.m.g.403.11 | 160 | 55.8 | even | 20 | inner | ||
605.2.m.g.457.10 | 160 | 11.5 | even | 5 | inner | ||
605.2.m.g.457.11 | 160 | 11.6 | odd | 10 | inner | ||
605.2.m.g.578.10 | 160 | 55.38 | odd | 20 | inner | ||
605.2.m.g.578.11 | 160 | 55.28 | even | 20 | inner | ||
605.2.m.g.602.10 | 160 | 11.2 | odd | 10 | inner | ||
605.2.m.g.602.11 | 160 | 11.9 | even | 5 | inner |