Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1205,2,Mod(724,1205)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1205, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1205.724");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1205 = 5 \cdot 241 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1205.b (of order \(2\), degree \(1\), 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: | \(9.62197344356\) |
Analytic rank: | \(0\) |
Dimension: | \(46\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 724.4 | ||
Character | \(\chi\) | \(=\) | 1205.724 |
Dual form | 1205.2.b.c.724.43 |
$q$-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 \(\left(\mathbb{Z}/1205\mathbb{Z}\right)^\times\).
\(n\) | \(242\) | \(971\) |
\(\chi(n)\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 2.44838i | − | 1.73127i | −0.500679 | − | 0.865633i | \(-0.666916\pi\) | ||
0.500679 | − | 0.865633i | \(-0.333084\pi\) | |||||||
\(3\) | − | 0.992209i | − | 0.572852i | −0.958102 | − | 0.286426i | \(-0.907533\pi\) | ||
0.958102 | − | 0.286426i | \(-0.0924673\pi\) | |||||||
\(4\) | −3.99457 | −1.99728 | ||||||||
\(5\) | 0.553587 | − | 2.16646i | 0.247572 | − | 0.968870i | ||||
\(6\) | −2.42931 | −0.991760 | ||||||||
\(7\) | − | 0.744704i | − | 0.281472i | −0.990047 | − | 0.140736i | \(-0.955053\pi\) | ||
0.990047 | − | 0.140736i | \(-0.0449468\pi\) | |||||||
\(8\) | 4.88345i | 1.72656i | ||||||||
\(9\) | 2.01552 | 0.671840 | ||||||||
\(10\) | −5.30431 | − | 1.35539i | −1.67737 | − | 0.428612i | ||||
\(11\) | −2.60457 | −0.785307 | −0.392654 | − | 0.919686i | \(-0.628443\pi\) | ||||
−0.392654 | + | 0.919686i | \(0.628443\pi\) | |||||||
\(12\) | 3.96344i | 1.14415i | ||||||||
\(13\) | − | 4.18428i | − | 1.16051i | −0.814434 | − | 0.580256i | \(-0.802953\pi\) | ||
0.814434 | − | 0.580256i | \(-0.197047\pi\) | |||||||
\(14\) | −1.82332 | −0.487302 | ||||||||
\(15\) | −2.14958 | − | 0.549274i | −0.555019 | − | 0.141822i | ||||
\(16\) | 3.96742 | 0.991856 | ||||||||
\(17\) | 0.484012i | 0.117390i | 0.998276 | + | 0.0586950i | \(0.0186940\pi\) | ||||
−0.998276 | + | 0.0586950i | \(0.981306\pi\) | |||||||
\(18\) | − | 4.93476i | − | 1.16313i | ||||||
\(19\) | −3.30187 | −0.757502 | −0.378751 | − | 0.925499i | \(-0.623646\pi\) | ||||
−0.378751 | + | 0.925499i | \(0.623646\pi\) | |||||||
\(20\) | −2.21134 | + | 8.65406i | −0.494471 | + | 1.93511i | ||||
\(21\) | −0.738902 | −0.161242 | ||||||||
\(22\) | 6.37697i | 1.35958i | ||||||||
\(23\) | 1.44005i | 0.300271i | 0.988665 | + | 0.150135i | \(0.0479710\pi\) | ||||
−0.988665 | + | 0.150135i | \(0.952029\pi\) | |||||||
\(24\) | 4.84541 | 0.989065 | ||||||||
\(25\) | −4.38708 | − | 2.39865i | −0.877417 | − | 0.479729i | ||||
\(26\) | −10.2447 | −2.00915 | ||||||||
\(27\) | − | 4.97645i | − | 0.957717i | ||||||
\(28\) | 2.97477i | 0.562179i | ||||||||
\(29\) | 0.129471 | 0.0240421 | 0.0120210 | − | 0.999928i | \(-0.496173\pi\) | ||||
0.0120210 | + | 0.999928i | \(0.496173\pi\) | |||||||
\(30\) | −1.34483 | + | 5.26299i | −0.245532 | + | 0.960886i | ||||
\(31\) | 4.43651 | 0.796821 | 0.398410 | − | 0.917207i | \(-0.369562\pi\) | ||||
0.398410 | + | 0.917207i | \(0.369562\pi\) | |||||||
\(32\) | 0.0531507i | 0.00939580i | ||||||||
\(33\) | 2.58428i | 0.449865i | ||||||||
\(34\) | 1.18504 | 0.203234 | ||||||||
\(35\) | −1.61337 | − | 0.412259i | −0.272709 | − | 0.0696844i | ||||
\(36\) | −8.05113 | −1.34186 | ||||||||
\(37\) | 4.67172i | 0.768026i | 0.923328 | + | 0.384013i | \(0.125458\pi\) | ||||
−0.923328 | + | 0.384013i | \(0.874542\pi\) | |||||||
\(38\) | 8.08424i | 1.31144i | ||||||||
\(39\) | −4.15168 | −0.664802 | ||||||||
\(40\) | 10.5798 | + | 2.70342i | 1.67281 | + | 0.427448i | ||||
\(41\) | −9.21272 | −1.43878 | −0.719392 | − | 0.694604i | \(-0.755580\pi\) | ||||
−0.719392 | + | 0.694604i | \(0.755580\pi\) | |||||||
\(42\) | 1.80911i | 0.279152i | ||||||||
\(43\) | 7.65578i | 1.16749i | 0.811935 | + | 0.583747i | \(0.198414\pi\) | ||||
−0.811935 | + | 0.583747i | \(0.801586\pi\) | |||||||
\(44\) | 10.4041 | 1.56848 | ||||||||
\(45\) | 1.11577 | − | 4.36654i | 0.166329 | − | 0.650926i | ||||
\(46\) | 3.52579 | 0.519849 | ||||||||
\(47\) | − | 2.28201i | − | 0.332865i | −0.986053 | − | 0.166433i | \(-0.946775\pi\) | ||
0.986053 | − | 0.166433i | \(-0.0532249\pi\) | |||||||
\(48\) | − | 3.93651i | − | 0.568187i | ||||||
\(49\) | 6.44542 | 0.920774 | ||||||||
\(50\) | −5.87280 | + | 10.7412i | −0.830539 | + | 1.51904i | ||||
\(51\) | 0.480241 | 0.0672472 | ||||||||
\(52\) | 16.7144i | 2.31787i | ||||||||
\(53\) | − | 12.5450i | − | 1.72319i | −0.507595 | − | 0.861596i | \(-0.669465\pi\) | ||
0.507595 | − | 0.861596i | \(-0.330535\pi\) | |||||||
\(54\) | −12.1842 | −1.65806 | ||||||||
\(55\) | −1.44186 | + | 5.64269i | −0.194420 | + | 0.760860i | ||||
\(56\) | 3.63673 | 0.485978 | ||||||||
\(57\) | 3.27615i | 0.433936i | ||||||||
\(58\) | − | 0.316993i | − | 0.0416232i | ||||||
\(59\) | 7.30045 | 0.950438 | 0.475219 | − | 0.879868i | \(-0.342369\pi\) | ||||
0.475219 | + | 0.879868i | \(0.342369\pi\) | |||||||
\(60\) | 8.58664 | + | 2.19411i | 1.10853 | + | 0.283259i | ||||
\(61\) | −5.28903 | −0.677190 | −0.338595 | − | 0.940932i | \(-0.609952\pi\) | ||||
−0.338595 | + | 0.940932i | \(0.609952\pi\) | |||||||
\(62\) | − | 10.8623i | − | 1.37951i | ||||||
\(63\) | − | 1.50097i | − | 0.189104i | ||||||
\(64\) | 8.06498 | 1.00812 | ||||||||
\(65\) | −9.06508 | − | 2.31637i | −1.12438 | − | 0.287310i | ||||
\(66\) | 6.32729 | 0.778836 | ||||||||
\(67\) | 5.69391i | 0.695621i | 0.937565 | + | 0.347811i | \(0.113075\pi\) | ||||
−0.937565 | + | 0.347811i | \(0.886925\pi\) | |||||||
\(68\) | − | 1.93342i | − | 0.234461i | ||||||
\(69\) | 1.42883 | 0.172011 | ||||||||
\(70\) | −1.00937 | + | 3.95014i | −0.120642 | + | 0.472133i | ||||
\(71\) | 2.08218 | 0.247109 | 0.123555 | − | 0.992338i | \(-0.460571\pi\) | ||||
0.123555 | + | 0.992338i | \(0.460571\pi\) | |||||||
\(72\) | 9.84271i | 1.15997i | ||||||||
\(73\) | − | 15.5697i | − | 1.82230i | −0.412076 | − | 0.911149i | \(-0.635196\pi\) | ||
0.412076 | − | 0.911149i | \(-0.364804\pi\) | |||||||
\(74\) | 11.4381 | 1.32966 | ||||||||
\(75\) | −2.37996 | + | 4.35290i | −0.274814 | + | 0.502630i | ||||
\(76\) | 13.1895 | 1.51294 | ||||||||
\(77\) | 1.93963i | 0.221042i | ||||||||
\(78\) | 10.1649i | 1.15095i | ||||||||
\(79\) | 10.0023 | 1.12534 | 0.562671 | − | 0.826681i | \(-0.309774\pi\) | ||||
0.562671 | + | 0.826681i | \(0.309774\pi\) | |||||||
\(80\) | 2.19631 | − | 8.59526i | 0.245555 | − | 0.960979i | ||||
\(81\) | 1.10889 | 0.123210 | ||||||||
\(82\) | 22.5562i | 2.49092i | ||||||||
\(83\) | 2.71488i | 0.297997i | 0.988837 | + | 0.148999i | \(0.0476050\pi\) | ||||
−0.988837 | + | 0.148999i | \(0.952395\pi\) | |||||||
\(84\) | 2.95159 | 0.322045 | ||||||||
\(85\) | 1.04859 | + | 0.267943i | 0.113736 | + | 0.0290625i | ||||
\(86\) | 18.7442 | 2.02124 | ||||||||
\(87\) | − | 0.128462i | − | 0.0137726i | ||||||
\(88\) | − | 12.7193i | − | 1.35588i | ||||||
\(89\) | 9.86499 | 1.04569 | 0.522843 | − | 0.852429i | \(-0.324871\pi\) | ||||
0.522843 | + | 0.852429i | \(0.324871\pi\) | |||||||
\(90\) | −10.6910 | − | 2.73182i | −1.12693 | − | 0.287959i | ||||
\(91\) | −3.11605 | −0.326651 | ||||||||
\(92\) | − | 5.75237i | − | 0.599726i | ||||||
\(93\) | − | 4.40195i | − | 0.456461i | ||||||
\(94\) | −5.58723 | −0.576279 | ||||||||
\(95\) | −1.82787 | + | 7.15337i | −0.187536 | + | 0.733920i | ||||
\(96\) | 0.0527366 | 0.00538241 | ||||||||
\(97\) | 6.26809i | 0.636428i | 0.948019 | + | 0.318214i | \(0.103083\pi\) | ||||
−0.948019 | + | 0.318214i | \(0.896917\pi\) | |||||||
\(98\) | − | 15.7808i | − | 1.59410i | ||||||
\(99\) | −5.24956 | −0.527601 | ||||||||
\(100\) | 17.5245 | + | 9.58155i | 1.75245 | + | 0.958155i | ||||
\(101\) | 4.57863 | 0.455591 | 0.227796 | − | 0.973709i | \(-0.426848\pi\) | ||||
0.227796 | + | 0.973709i | \(0.426848\pi\) | |||||||
\(102\) | − | 1.17581i | − | 0.116423i | ||||||
\(103\) | − | 5.95554i | − | 0.586817i | −0.955987 | − | 0.293409i | \(-0.905210\pi\) | ||
0.955987 | − | 0.293409i | \(-0.0947896\pi\) | |||||||
\(104\) | 20.4338 | 2.00369 | ||||||||
\(105\) | −0.409047 | + | 1.60080i | −0.0399189 | + | 0.156222i | ||||
\(106\) | −30.7150 | −2.98330 | ||||||||
\(107\) | 4.83097i | 0.467027i | 0.972354 | + | 0.233514i | \(0.0750223\pi\) | ||||
−0.972354 | + | 0.233514i | \(0.924978\pi\) | |||||||
\(108\) | 19.8787i | 1.91283i | ||||||||
\(109\) | −9.62741 | −0.922138 | −0.461069 | − | 0.887364i | \(-0.652534\pi\) | ||||
−0.461069 | + | 0.887364i | \(0.652534\pi\) | |||||||
\(110\) | 13.8154 | + | 3.53021i | 1.31725 | + | 0.336592i | ||||
\(111\) | 4.63532 | 0.439965 | ||||||||
\(112\) | − | 2.95456i | − | 0.279179i | ||||||
\(113\) | − | 4.74825i | − | 0.446677i | −0.974741 | − | 0.223339i | \(-0.928304\pi\) | ||
0.974741 | − | 0.223339i | \(-0.0716956\pi\) | |||||||
\(114\) | 8.02126 | 0.751260 | ||||||||
\(115\) | 3.11981 | + | 0.797192i | 0.290923 | + | 0.0743386i | ||||
\(116\) | −0.517179 | −0.0480188 | ||||||||
\(117\) | − | 8.43351i | − | 0.779678i | ||||||
\(118\) | − | 17.8743i | − | 1.64546i | ||||||
\(119\) | 0.360446 | 0.0330420 | ||||||||
\(120\) | 2.68236 | − | 10.4974i | 0.244864 | − | 0.958275i | ||||
\(121\) | −4.21622 | −0.383293 | ||||||||
\(122\) | 12.9495i | 1.17240i | ||||||||
\(123\) | 9.14094i | 0.824211i | ||||||||
\(124\) | −17.7219 | −1.59148 | ||||||||
\(125\) | −7.62520 | + | 8.17657i | −0.682019 | + | 0.731335i | ||||
\(126\) | −3.67494 | −0.327389 | ||||||||
\(127\) | − | 2.13691i | − | 0.189620i | −0.995495 | − | 0.0948099i | \(-0.969776\pi\) | ||
0.995495 | − | 0.0948099i | \(-0.0302243\pi\) | |||||||
\(128\) | − | 19.6398i | − | 1.73593i | ||||||
\(129\) | 7.59613 | 0.668802 | ||||||||
\(130\) | −5.67134 | + | 22.1948i | −0.497410 | + | 1.94661i | ||||
\(131\) | −15.2770 | −1.33476 | −0.667378 | − | 0.744719i | \(-0.732584\pi\) | ||||
−0.667378 | + | 0.744719i | \(0.732584\pi\) | |||||||
\(132\) | − | 10.3231i | − | 0.898507i | ||||||
\(133\) | 2.45892i | 0.213215i | ||||||||
\(134\) | 13.9408 | 1.20431 | ||||||||
\(135\) | −10.7813 | − | 2.75490i | −0.927903 | − | 0.237104i | ||||
\(136\) | −2.36365 | −0.202681 | ||||||||
\(137\) | − | 15.6904i | − | 1.34052i | −0.742128 | − | 0.670259i | \(-0.766183\pi\) | ||
0.742128 | − | 0.670259i | \(-0.233817\pi\) | |||||||
\(138\) | − | 3.49832i | − | 0.297797i | ||||||
\(139\) | −13.8387 | −1.17378 | −0.586891 | − | 0.809666i | \(-0.699648\pi\) | ||||
−0.586891 | + | 0.809666i | \(0.699648\pi\) | |||||||
\(140\) | 6.44471 | + | 1.64679i | 0.544678 | + | 0.139179i | ||||
\(141\) | −2.26423 | −0.190683 | ||||||||
\(142\) | − | 5.09797i | − | 0.427812i | ||||||
\(143\) | 10.8983i | 0.911358i | ||||||||
\(144\) | 7.99642 | 0.666369 | ||||||||
\(145\) | 0.0716732 | − | 0.280493i | 0.00595214 | − | 0.0232936i | ||||
\(146\) | −38.1206 | −3.15488 | ||||||||
\(147\) | − | 6.39520i | − | 0.527467i | ||||||
\(148\) | − | 18.6615i | − | 1.53396i | ||||||
\(149\) | 4.70517 | 0.385463 | 0.192731 | − | 0.981252i | \(-0.438265\pi\) | ||||
0.192731 | + | 0.981252i | \(0.438265\pi\) | |||||||
\(150\) | 10.6576 | + | 5.82704i | 0.870186 | + | 0.475776i | ||||
\(151\) | 15.7760 | 1.28383 | 0.641914 | − | 0.766776i | \(-0.278140\pi\) | ||||
0.641914 | + | 0.766776i | \(0.278140\pi\) | |||||||
\(152\) | − | 16.1245i | − | 1.30787i | ||||||
\(153\) | 0.975536i | 0.0788674i | ||||||||
\(154\) | 4.74896 | 0.382682 | ||||||||
\(155\) | 2.45600 | − | 9.61152i | 0.197270 | − | 0.772016i | ||||
\(156\) | 16.5842 | 1.32780 | ||||||||
\(157\) | − | 6.26473i | − | 0.499980i | −0.968248 | − | 0.249990i | \(-0.919573\pi\) | ||
0.968248 | − | 0.249990i | \(-0.0804273\pi\) | |||||||
\(158\) | − | 24.4893i | − | 1.94827i | ||||||
\(159\) | −12.4473 | −0.987134 | ||||||||
\(160\) | 0.115149 | + | 0.0294235i | 0.00910331 | + | 0.00232613i | ||||
\(161\) | 1.07241 | 0.0845178 | ||||||||
\(162\) | − | 2.71498i | − | 0.213309i | ||||||
\(163\) | 22.7092i | 1.77872i | 0.457204 | + | 0.889362i | \(0.348851\pi\) | ||||
−0.457204 | + | 0.889362i | \(0.651149\pi\) | |||||||
\(164\) | 36.8008 | 2.87366 | ||||||||
\(165\) | 5.59873 | + | 1.43062i | 0.435860 | + | 0.111374i | ||||
\(166\) | 6.64707 | 0.515913 | ||||||||
\(167\) | − | 18.4720i | − | 1.42941i | −0.699428 | − | 0.714703i | \(-0.746562\pi\) | ||
0.699428 | − | 0.714703i | \(-0.253438\pi\) | |||||||
\(168\) | − | 3.60840i | − | 0.278394i | ||||||
\(169\) | −4.50823 | −0.346787 | ||||||||
\(170\) | 0.656026 | − | 2.56735i | 0.0503149 | − | 0.196907i | ||||
\(171\) | −6.65500 | −0.508920 | ||||||||
\(172\) | − | 30.5815i | − | 2.33182i | ||||||
\(173\) | − | 11.4775i | − | 0.872615i | −0.899798 | − | 0.436307i | \(-0.856286\pi\) | ||
0.899798 | − | 0.436307i | \(-0.143714\pi\) | |||||||
\(174\) | −0.314523 | −0.0238440 | ||||||||
\(175\) | −1.78628 | + | 3.26708i | −0.135030 | + | 0.246968i | ||||
\(176\) | −10.3334 | −0.778911 | ||||||||
\(177\) | − | 7.24358i | − | 0.544460i | ||||||
\(178\) | − | 24.1532i | − | 1.81036i | ||||||
\(179\) | 12.4461 | 0.930266 | 0.465133 | − | 0.885241i | \(-0.346006\pi\) | ||||
0.465133 | + | 0.885241i | \(0.346006\pi\) | |||||||
\(180\) | −4.45700 | + | 17.4424i | −0.332205 | + | 1.30008i | ||||
\(181\) | −11.1005 | −0.825090 | −0.412545 | − | 0.910937i | \(-0.635360\pi\) | ||||
−0.412545 | + | 0.910937i | \(0.635360\pi\) | |||||||
\(182\) | 7.62928i | 0.565520i | ||||||||
\(183\) | 5.24782i | 0.387930i | ||||||||
\(184\) | −7.03241 | −0.518436 | ||||||||
\(185\) | 10.1211 | + | 2.58620i | 0.744117 | + | 0.190141i | ||||
\(186\) | −10.7776 | −0.790255 | ||||||||
\(187\) | − | 1.26064i | − | 0.0921873i | ||||||
\(188\) | 9.11564i | 0.664826i | ||||||||
\(189\) | −3.70598 | −0.269570 | ||||||||
\(190\) | 17.5142 | + | 4.47533i | 1.27061 | + | 0.324675i | ||||
\(191\) | 5.17318 | 0.374318 | 0.187159 | − | 0.982330i | \(-0.440072\pi\) | ||||
0.187159 | + | 0.982330i | \(0.440072\pi\) | |||||||
\(192\) | − | 8.00214i | − | 0.577505i | ||||||
\(193\) | 14.2338i | 1.02457i | 0.858816 | + | 0.512285i | \(0.171201\pi\) | ||||
−0.858816 | + | 0.512285i | \(0.828799\pi\) | |||||||
\(194\) | 15.3467 | 1.10183 | ||||||||
\(195\) | −2.29832 | + | 8.99445i | −0.164586 | + | 0.644106i | ||||
\(196\) | −25.7466 | −1.83905 | ||||||||
\(197\) | − | 6.64124i | − | 0.473169i | −0.971611 | − | 0.236585i | \(-0.923972\pi\) | ||
0.971611 | − | 0.236585i | \(-0.0760280\pi\) | |||||||
\(198\) | 12.8529i | 0.913418i | ||||||||
\(199\) | −9.13468 | −0.647541 | −0.323770 | − | 0.946136i | \(-0.604950\pi\) | ||||
−0.323770 | + | 0.946136i | \(0.604950\pi\) | |||||||
\(200\) | 11.7137 | − | 21.4241i | 0.828282 | − | 1.51491i | ||||
\(201\) | 5.64954 | 0.398488 | ||||||||
\(202\) | − | 11.2102i | − | 0.788750i | ||||||
\(203\) | − | 0.0964172i | − | 0.00676716i | ||||||
\(204\) | −1.91835 | −0.134312 | ||||||||
\(205\) | −5.10004 | + | 19.9590i | −0.356202 | + | 1.39399i | ||||
\(206\) | −14.5814 | −1.01594 | ||||||||
\(207\) | 2.90245i | 0.201734i | ||||||||
\(208\) | − | 16.6008i | − | 1.15106i | ||||||
\(209\) | 8.59996 | 0.594871 | ||||||||
\(210\) | 3.91937 | + | 1.00150i | 0.270462 | + | 0.0691102i | ||||
\(211\) | −19.5990 | −1.34925 | −0.674626 | − | 0.738160i | \(-0.735695\pi\) | ||||
−0.674626 | + | 0.738160i | \(0.735695\pi\) | |||||||
\(212\) | 50.1119i | 3.44170i | ||||||||
\(213\) | − | 2.06596i | − | 0.141557i | ||||||
\(214\) | 11.8280 | 0.808548 | ||||||||
\(215\) | 16.5859 | + | 4.23814i | 1.13115 | + | 0.289039i | ||||
\(216\) | 24.3022 | 1.65356 | ||||||||
\(217\) | − | 3.30389i | − | 0.224283i | ||||||
\(218\) | 23.5716i | 1.59647i | ||||||||
\(219\) | −15.4484 | −1.04391 | ||||||||
\(220\) | 5.75959 | − | 22.5401i | 0.388311 | − | 1.51965i | ||||
\(221\) | 2.02524 | 0.136233 | ||||||||
\(222\) | − | 11.3490i | − | 0.761697i | ||||||
\(223\) | 4.78461i | 0.320401i | 0.987085 | + | 0.160200i | \(0.0512141\pi\) | ||||
−0.987085 | + | 0.160200i | \(0.948786\pi\) | |||||||
\(224\) | 0.0395815 | 0.00264465 | ||||||||
\(225\) | −8.84226 | − | 4.83452i | −0.589484 | − | 0.322302i | ||||
\(226\) | −11.6255 | −0.773318 | ||||||||
\(227\) | − | 21.1630i | − | 1.40464i | −0.711862 | − | 0.702319i | \(-0.752148\pi\) | ||
0.711862 | − | 0.702319i | \(-0.247852\pi\) | |||||||
\(228\) | − | 13.0868i | − | 0.866694i | ||||||
\(229\) | −22.4594 | −1.48416 | −0.742080 | − | 0.670311i | \(-0.766161\pi\) | ||||
−0.742080 | + | 0.670311i | \(0.766161\pi\) | |||||||
\(230\) | 1.95183 | − | 7.63847i | 0.128700 | − | 0.503666i | ||||
\(231\) | 1.92452 | 0.126624 | ||||||||
\(232\) | 0.632263i | 0.0415101i | ||||||||
\(233\) | 11.0004i | 0.720658i | 0.932825 | + | 0.360329i | \(0.117336\pi\) | ||||
−0.932825 | + | 0.360329i | \(0.882664\pi\) | |||||||
\(234\) | −20.6484 | −1.34983 | ||||||||
\(235\) | −4.94388 | − | 1.26329i | −0.322503 | − | 0.0824081i | ||||
\(236\) | −29.1621 | −1.89829 | ||||||||
\(237\) | − | 9.92434i | − | 0.644655i | ||||||
\(238\) | − | 0.882508i | − | 0.0572045i | ||||||
\(239\) | 2.21903 | 0.143537 | 0.0717686 | − | 0.997421i | \(-0.477136\pi\) | ||||
0.0717686 | + | 0.997421i | \(0.477136\pi\) | |||||||
\(240\) | −8.52829 | − | 2.17920i | −0.550499 | − | 0.140667i | ||||
\(241\) | 1.00000 | 0.0644157 | ||||||||
\(242\) | 10.3229i | 0.663582i | ||||||||
\(243\) | − | 16.0296i | − | 1.02830i | ||||||
\(244\) | 21.1274 | 1.35254 | ||||||||
\(245\) | 3.56810 | − | 13.9637i | 0.227957 | − | 0.892110i | ||||
\(246\) | 22.3805 | 1.42693 | ||||||||
\(247\) | 13.8160i | 0.879089i | ||||||||
\(248\) | 21.6655i | 1.37576i | ||||||||
\(249\) | 2.69373 | 0.170708 | ||||||||
\(250\) | 20.0194 | + | 18.6694i | 1.26614 | + | 1.18076i | ||||
\(251\) | 11.1504 | 0.703807 | 0.351903 | − | 0.936036i | \(-0.385535\pi\) | ||||
0.351903 | + | 0.936036i | \(0.385535\pi\) | |||||||
\(252\) | 5.99571i | 0.377694i | ||||||||
\(253\) | − | 3.75071i | − | 0.235805i | ||||||
\(254\) | −5.23196 | −0.328282 | ||||||||
\(255\) | 0.265855 | − | 1.04042i | 0.0166485 | − | 0.0651537i | ||||
\(256\) | −31.9558 | −1.99724 | ||||||||
\(257\) | − | 8.50879i | − | 0.530763i | −0.964143 | − | 0.265382i | \(-0.914502\pi\) | ||
0.964143 | − | 0.265382i | \(-0.0854980\pi\) | |||||||
\(258\) | − | 18.5982i | − | 1.15787i | ||||||
\(259\) | 3.47905 | 0.216177 | ||||||||
\(260\) | 36.2110 | + | 9.25287i | 2.24571 | + | 0.573839i | ||||
\(261\) | 0.260951 | 0.0161524 | ||||||||
\(262\) | 37.4039i | 2.31082i | ||||||||
\(263\) | − | 10.5798i | − | 0.652377i | −0.945305 | − | 0.326188i | \(-0.894236\pi\) | ||
0.945305 | − | 0.326188i | \(-0.105764\pi\) | |||||||
\(264\) | −12.6202 | −0.776720 | ||||||||
\(265\) | −27.1783 | − | 6.94476i | −1.66955 | − | 0.426613i | ||||
\(266\) | 6.02037 | 0.369132 | ||||||||
\(267\) | − | 9.78813i | − | 0.599024i | ||||||
\(268\) | − | 22.7447i | − | 1.38935i | ||||||
\(269\) | −6.26143 | −0.381766 | −0.190883 | − | 0.981613i | \(-0.561135\pi\) | ||||
−0.190883 | + | 0.981613i | \(0.561135\pi\) | |||||||
\(270\) | −6.74503 | + | 26.3966i | −0.410490 | + | 1.60645i | ||||
\(271\) | 6.22770 | 0.378306 | 0.189153 | − | 0.981948i | \(-0.439426\pi\) | ||||
0.189153 | + | 0.981948i | \(0.439426\pi\) | |||||||
\(272\) | 1.92028i | 0.116434i | ||||||||
\(273\) | 3.09178i | 0.187123i | ||||||||
\(274\) | −38.4160 | −2.32079 | ||||||||
\(275\) | 11.4265 | + | 6.24744i | 0.689041 | + | 0.376735i | ||||
\(276\) | −5.70755 | −0.343554 | ||||||||
\(277\) | − | 0.195324i | − | 0.0117359i | −0.999983 | − | 0.00586793i | \(-0.998132\pi\) | ||
0.999983 | − | 0.00586793i | \(-0.00186783\pi\) | |||||||
\(278\) | 33.8824i | 2.03213i | ||||||||
\(279\) | 8.94188 | 0.535336 | ||||||||
\(280\) | 2.01325 | − | 7.87882i | 0.120314 | − | 0.470850i | ||||
\(281\) | −21.0354 | −1.25486 | −0.627432 | − | 0.778671i | \(-0.715894\pi\) | ||||
−0.627432 | + | 0.778671i | \(0.715894\pi\) | |||||||
\(282\) | 5.54370i | 0.330123i | ||||||||
\(283\) | 12.8269i | 0.762478i | 0.924477 | + | 0.381239i | \(0.124503\pi\) | ||||
−0.924477 | + | 0.381239i | \(0.875497\pi\) | |||||||
\(284\) | −8.31740 | −0.493547 | ||||||||
\(285\) | 7.09764 | + | 1.81363i | 0.420428 | + | 0.107430i | ||||
\(286\) | 26.6831 | 1.57780 | ||||||||
\(287\) | 6.86075i | 0.404977i | ||||||||
\(288\) | 0.107126i | 0.00631248i | ||||||||
\(289\) | 16.7657 | 0.986220 | ||||||||
\(290\) | −0.686752 | − | 0.175483i | −0.0403275 | − | 0.0103047i | ||||
\(291\) | 6.21926 | 0.364579 | ||||||||
\(292\) | 62.1943i | 3.63965i | ||||||||
\(293\) | − | 25.7912i | − | 1.50674i | −0.657598 | − | 0.753369i | \(-0.728427\pi\) | ||
0.657598 | − | 0.753369i | \(-0.271573\pi\) | |||||||
\(294\) | −15.6579 | −0.913186 | ||||||||
\(295\) | 4.04144 | − | 15.8161i | 0.235302 | − | 0.920850i | ||||
\(296\) | −22.8141 | −1.32604 | ||||||||
\(297\) | 12.9615i | 0.752102i | ||||||||
\(298\) | − | 11.5200i | − | 0.667338i | ||||||
\(299\) | 6.02557 | 0.348468 | ||||||||
\(300\) | 9.50690 | − | 17.3880i | 0.548881 | − | 1.00389i | ||||
\(301\) | 5.70129 | 0.328617 | ||||||||
\(302\) | − | 38.6255i | − | 2.22265i | ||||||
\(303\) | − | 4.54296i | − | 0.260986i | ||||||
\(304\) | −13.0999 | −0.751332 | ||||||||
\(305\) | −2.92794 | + | 11.4585i | −0.167653 | + | 0.656109i | ||||
\(306\) | 2.38848 | 0.136540 | ||||||||
\(307\) | − | 28.5348i | − | 1.62856i | −0.580469 | − | 0.814282i | \(-0.697131\pi\) | ||
0.580469 | − | 0.814282i | \(-0.302869\pi\) | |||||||
\(308\) | − | 7.74799i | − | 0.441483i | ||||||
\(309\) | −5.90914 | −0.336160 | ||||||||
\(310\) | −23.5326 | − | 6.01321i | −1.33656 | − | 0.341527i | ||||
\(311\) | 4.04451 | 0.229343 | 0.114672 | − | 0.993403i | \(-0.463418\pi\) | ||||
0.114672 | + | 0.993403i | \(0.463418\pi\) | |||||||
\(312\) | − | 20.2746i | − | 1.14782i | ||||||
\(313\) | − | 10.8140i | − | 0.611243i | −0.952153 | − | 0.305622i | \(-0.901136\pi\) | ||
0.952153 | − | 0.305622i | \(-0.0988643\pi\) | |||||||
\(314\) | −15.3384 | −0.865598 | ||||||||
\(315\) | −3.25178 | − | 0.830916i | −0.183217 | − | 0.0468168i | ||||
\(316\) | −39.9547 | −2.24763 | ||||||||
\(317\) | − | 2.62335i | − | 0.147342i | −0.997283 | − | 0.0736711i | \(-0.976528\pi\) | ||
0.997283 | − | 0.0736711i | \(-0.0234715\pi\) | |||||||
\(318\) | 30.4757i | 1.70899i | ||||||||
\(319\) | −0.337215 | −0.0188804 | ||||||||
\(320\) | 4.46467 | − | 17.4724i | 0.249583 | − | 0.976739i | ||||
\(321\) | 4.79333 | 0.267538 | ||||||||
\(322\) | − | 2.62567i | − | 0.146323i | ||||||
\(323\) | − | 1.59815i | − | 0.0889232i | ||||||
\(324\) | −4.42953 | −0.246085 | ||||||||
\(325\) | −10.0366 | + | 18.3568i | −0.556731 | + | 1.01825i | ||||
\(326\) | 55.6008 | 3.07944 | ||||||||
\(327\) | 9.55240i | 0.528249i | ||||||||
\(328\) | − | 44.9899i | − | 2.48415i | ||||||
\(329\) | −1.69942 | −0.0936922 | ||||||||
\(330\) | 3.50271 | − | 13.7078i | 0.192818 | − | 0.754590i | ||||
\(331\) | −10.6123 | −0.583307 | −0.291653 | − | 0.956524i | \(-0.594205\pi\) | ||||
−0.291653 | + | 0.956524i | \(0.594205\pi\) | |||||||
\(332\) | − | 10.8448i | − | 0.595185i | ||||||
\(333\) | 9.41594i | 0.515991i | ||||||||
\(334\) | −45.2264 | −2.47468 | ||||||||
\(335\) | 12.3356 | + | 3.15207i | 0.673966 | + | 0.172216i | ||||
\(336\) | −2.93154 | −0.159928 | ||||||||
\(337\) | − | 3.53987i | − | 0.192829i | −0.995341 | − | 0.0964146i | \(-0.969263\pi\) | ||
0.995341 | − | 0.0964146i | \(-0.0307375\pi\) | |||||||
\(338\) | 11.0379i | 0.600381i | ||||||||
\(339\) | −4.71125 | −0.255880 | ||||||||
\(340\) | −4.18867 | − | 1.07031i | −0.227162 | − | 0.0580460i | ||||
\(341\) | −11.5552 | −0.625749 | ||||||||
\(342\) | 16.2940i | 0.881076i | ||||||||
\(343\) | − | 10.0129i | − | 0.540643i | ||||||
\(344\) | −37.3866 | −2.01575 | ||||||||
\(345\) | 0.790981 | − | 3.09550i | 0.0425850 | − | 0.166656i | ||||
\(346\) | −28.1012 | −1.51073 | ||||||||
\(347\) | 13.6131i | 0.730791i | 0.930852 | + | 0.365396i | \(0.119066\pi\) | ||||
−0.930852 | + | 0.365396i | \(0.880934\pi\) | |||||||
\(348\) | 0.513149i | 0.0275077i | ||||||||
\(349\) | −3.51082 | −0.187930 | −0.0939649 | − | 0.995576i | \(-0.529954\pi\) | ||||
−0.0939649 | + | 0.995576i | \(0.529954\pi\) | |||||||
\(350\) | 7.99905 | + | 4.37350i | 0.427567 | + | 0.233773i | ||||
\(351\) | −20.8229 | −1.11144 | ||||||||
\(352\) | − | 0.138435i | − | 0.00737859i | ||||||
\(353\) | 10.7398i | 0.571621i | 0.958286 | + | 0.285810i | \(0.0922627\pi\) | ||||
−0.958286 | + | 0.285810i | \(0.907737\pi\) | |||||||
\(354\) | −17.7350 | −0.942606 | ||||||||
\(355\) | 1.15267 | − | 4.51095i | 0.0611772 | − | 0.239417i | ||||
\(356\) | −39.4063 | −2.08853 | ||||||||
\(357\) | − | 0.357637i | − | 0.0189282i | ||||||
\(358\) | − | 30.4728i | − | 1.61054i | ||||||
\(359\) | −12.0903 | −0.638099 | −0.319050 | − | 0.947738i | \(-0.603364\pi\) | ||||
−0.319050 | + | 0.947738i | \(0.603364\pi\) | |||||||
\(360\) | 21.3238 | + | 5.44879i | 1.12386 | + | 0.287177i | ||||
\(361\) | −8.09763 | −0.426191 | ||||||||
\(362\) | 27.1781i | 1.42845i | ||||||||
\(363\) | 4.18337i | 0.219570i | ||||||||
\(364\) | 12.4473 | 0.652415 | ||||||||
\(365\) | −33.7312 | − | 8.61920i | −1.76557 | − | 0.451150i | ||||
\(366\) | 12.8487 | 0.671610 | ||||||||
\(367\) | − | 2.89274i | − | 0.151000i | −0.997146 | − | 0.0754999i | \(-0.975945\pi\) | ||
0.997146 | − | 0.0754999i | \(-0.0240553\pi\) | |||||||
\(368\) | 5.71328i | 0.297825i | ||||||||
\(369\) | −18.5684 | −0.966634 | ||||||||
\(370\) | 6.33201 | − | 24.7803i | 0.329185 | − | 1.28826i | ||||
\(371\) | −9.34233 | −0.485030 | ||||||||
\(372\) | 17.5839i | 0.911681i | ||||||||
\(373\) | 37.8889i | 1.96181i | 0.194479 | + | 0.980907i | \(0.437698\pi\) | ||||
−0.194479 | + | 0.980907i | \(0.562302\pi\) | |||||||
\(374\) | −3.08653 | −0.159601 | ||||||||
\(375\) | 8.11287 | + | 7.56579i | 0.418947 | + | 0.390696i | ||||
\(376\) | 11.1441 | 0.574713 | ||||||||
\(377\) | − | 0.541741i | − | 0.0279011i | ||||||
\(378\) | 9.07365i | 0.466698i | ||||||||
\(379\) | 9.33140 | 0.479322 | 0.239661 | − | 0.970857i | \(-0.422964\pi\) | ||||
0.239661 | + | 0.970857i | \(0.422964\pi\) | |||||||
\(380\) | 7.30156 | − | 28.5746i | 0.374562 | − | 1.46585i | ||||
\(381\) | −2.12026 | −0.108624 | ||||||||
\(382\) | − | 12.6659i | − | 0.648044i | ||||||
\(383\) | 34.9438i | 1.78554i | 0.450510 | + | 0.892771i | \(0.351242\pi\) | ||||
−0.450510 | + | 0.892771i | \(0.648758\pi\) | |||||||
\(384\) | −19.4868 | −0.994433 | ||||||||
\(385\) | 4.20213 | + | 1.07376i | 0.214161 | + | 0.0547237i | ||||
\(386\) | 34.8497 | 1.77380 | ||||||||
\(387\) | 15.4304i | 0.784370i | ||||||||
\(388\) | − | 25.0383i | − | 1.27113i | ||||||
\(389\) | 22.2652 | 1.12889 | 0.564445 | − | 0.825470i | \(-0.309090\pi\) | ||||
0.564445 | + | 0.825470i | \(0.309090\pi\) | |||||||
\(390\) | 22.0218 | + | 5.62716i | 1.11512 | + | 0.284942i | ||||
\(391\) | −0.697000 | −0.0352488 | ||||||||
\(392\) | 31.4759i | 1.58977i | ||||||||
\(393\) | 15.1580i | 0.764618i | ||||||||
\(394\) | −16.2603 | −0.819182 | ||||||||
\(395\) | 5.53712 | − | 21.6695i | 0.278603 | − | 1.09031i | ||||
\(396\) | 20.9697 | 1.05377 | ||||||||
\(397\) | − | 18.6917i | − | 0.938110i | −0.883169 | − | 0.469055i | \(-0.844595\pi\) | ||
0.883169 | − | 0.469055i | \(-0.155405\pi\) | |||||||
\(398\) | 22.3652i | 1.12107i | ||||||||
\(399\) | 2.43976 | 0.122141 | ||||||||
\(400\) | −17.4054 | − | 9.51644i | −0.870271 | − | 0.475822i | ||||
\(401\) | 30.3420 | 1.51521 | 0.757604 | − | 0.652715i | \(-0.226370\pi\) | ||||
0.757604 | + | 0.652715i | \(0.226370\pi\) | |||||||
\(402\) | − | 13.8322i | − | 0.689889i | ||||||
\(403\) | − | 18.5636i | − | 0.924720i | ||||||
\(404\) | −18.2897 | −0.909944 | ||||||||
\(405\) | 0.613867 | − | 2.40236i | 0.0305033 | − | 0.119374i | ||||
\(406\) | −0.236066 | −0.0117158 | ||||||||
\(407\) | − | 12.1678i | − | 0.603136i | ||||||
\(408\) | 2.34523i | 0.116106i | ||||||||
\(409\) | −16.1799 | −0.800046 | −0.400023 | − | 0.916505i | \(-0.630998\pi\) | ||||
−0.400023 | + | 0.916505i | \(0.630998\pi\) | |||||||
\(410\) | 48.8671 | + | 12.4868i | 2.41338 | + | 0.616681i | ||||
\(411\) | −15.5681 | −0.767918 | ||||||||
\(412\) | 23.7898i | 1.17204i | ||||||||
\(413\) | − | 5.43668i | − | 0.267521i | ||||||
\(414\) | 7.10630 | 0.349255 | ||||||||
\(415\) | 5.88168 | + | 1.50292i | 0.288720 | + | 0.0737757i | ||||
\(416\) | 0.222398 | 0.0109039 | ||||||||
\(417\) | 13.7309i | 0.672404i | ||||||||
\(418\) | − | 21.0560i | − | 1.02988i | ||||||
\(419\) | −14.4615 | −0.706488 | −0.353244 | − | 0.935531i | \(-0.614921\pi\) | ||||
−0.353244 | + | 0.935531i | \(0.614921\pi\) | |||||||
\(420\) | 1.63396 | − | 6.39450i | 0.0797293 | − | 0.312020i | ||||
\(421\) | 14.6314 | 0.713093 | 0.356546 | − | 0.934278i | \(-0.383954\pi\) | ||||
0.356546 | + | 0.934278i | \(0.383954\pi\) | |||||||
\(422\) | 47.9858i | 2.33591i | ||||||||
\(423\) | − | 4.59944i | − | 0.223632i | ||||||
\(424\) | 61.2631 | 2.97520 | ||||||||
\(425\) | 1.16097 | − | 2.12340i | 0.0563155 | − | 0.103000i | ||||
\(426\) | −5.05825 | −0.245073 | ||||||||
\(427\) | 3.93876i | 0.190610i | ||||||||
\(428\) | − | 19.2976i | − | 0.932785i | ||||||
\(429\) | 10.8133 | 0.522073 | ||||||||
\(430\) | 10.3766 | − | 40.6086i | 0.500403 | − | 1.95832i | ||||
\(431\) | 17.3814 | 0.837233 | 0.418616 | − | 0.908163i | \(-0.362515\pi\) | ||||
0.418616 | + | 0.908163i | \(0.362515\pi\) | |||||||
\(432\) | − | 19.7437i | − | 0.949917i | ||||||
\(433\) | − | 22.7286i | − | 1.09227i | −0.837698 | − | 0.546133i | \(-0.816099\pi\) | ||
0.837698 | − | 0.546133i | \(-0.183901\pi\) | |||||||
\(434\) | −8.08917 | −0.388293 | ||||||||
\(435\) | −0.278307 | − | 0.0711148i | −0.0133438 | − | 0.00340969i | ||||
\(436\) | 38.4573 | 1.84177 | ||||||||
\(437\) | − | 4.75486i | − | 0.227456i | ||||||
\(438\) | 37.8236i | 1.80728i | ||||||||
\(439\) | 36.3500 | 1.73489 | 0.867446 | − | 0.497531i | \(-0.165760\pi\) | ||||
0.867446 | + | 0.497531i | \(0.165760\pi\) | |||||||
\(440\) | −27.5558 | − | 7.04124i | −1.31367 | − | 0.335678i | ||||
\(441\) | 12.9909 | 0.618613 | ||||||||
\(442\) | − | 4.95856i | − | 0.235855i | ||||||
\(443\) | − | 41.2429i | − | 1.95951i | −0.200201 | − | 0.979755i | \(-0.564159\pi\) | ||
0.200201 | − | 0.979755i | \(-0.435841\pi\) | |||||||
\(444\) | −18.5161 | −0.878735 | ||||||||
\(445\) | 5.46113 | − | 21.3721i | 0.258882 | − | 1.01313i | ||||
\(446\) | 11.7145 | 0.554699 | ||||||||
\(447\) | − | 4.66851i | − | 0.220813i | ||||||
\(448\) | − | 6.00602i | − | 0.283758i | ||||||
\(449\) | −1.81576 | −0.0856909 | −0.0428454 | − | 0.999082i | \(-0.513642\pi\) | ||||
−0.0428454 | + | 0.999082i | \(0.513642\pi\) | |||||||
\(450\) | −11.8368 | + | 21.6492i | −0.557990 | + | 1.02055i | ||||
\(451\) | 23.9952 | 1.12989 | ||||||||
\(452\) | 18.9672i | 0.892141i | ||||||||
\(453\) | − | 15.6530i | − | 0.735444i | ||||||
\(454\) | −51.8151 | −2.43180 | ||||||||
\(455\) | −1.72501 | + | 6.75080i | −0.0808696 | + | 0.316482i | ||||
\(456\) | −15.9989 | −0.749218 | ||||||||
\(457\) | 9.57207i | 0.447763i | 0.974616 | + | 0.223881i | \(0.0718728\pi\) | ||||
−0.974616 | + | 0.223881i | \(0.928127\pi\) | |||||||
\(458\) | 54.9892i | 2.56948i | ||||||||
\(459\) | 2.40866 | 0.112427 | ||||||||
\(460\) | −12.4623 | − | 3.18444i | −0.581056 | − | 0.148475i | ||||
\(461\) | −7.96834 | −0.371123 | −0.185561 | − | 0.982633i | \(-0.559410\pi\) | ||||
−0.185561 | + | 0.982633i | \(0.559410\pi\) | |||||||
\(462\) | − | 4.71196i | − | 0.219220i | ||||||
\(463\) | − | 20.5525i | − | 0.955157i | −0.878589 | − | 0.477579i | \(-0.841515\pi\) | ||
0.878589 | − | 0.477579i | \(-0.158485\pi\) | |||||||
\(464\) | 0.513664 | 0.0238463 | ||||||||
\(465\) | −9.53663 | − | 2.43686i | −0.442251 | − | 0.113007i | ||||
\(466\) | 26.9331 | 1.24765 | ||||||||
\(467\) | − | 15.8957i | − | 0.735567i | −0.929912 | − | 0.367783i | \(-0.880117\pi\) | ||
0.929912 | − | 0.367783i | \(-0.119883\pi\) | |||||||
\(468\) | 33.6882i | 1.55724i | ||||||||
\(469\) | 4.24027 | 0.195798 | ||||||||
\(470\) | −3.09302 | + | 12.1045i | −0.142670 | + | 0.558339i | ||||
\(471\) | −6.21592 | −0.286415 | ||||||||
\(472\) | 35.6514i | 1.64099i | ||||||||
\(473\) | − | 19.9400i | − | 0.916842i | ||||||
\(474\) | −24.2985 | −1.11607 | ||||||||
\(475\) | 14.4856 | + | 7.92003i | 0.664644 | + | 0.363396i | ||||
\(476\) | −1.43982 | −0.0659942 | ||||||||
\(477\) | − | 25.2848i | − | 1.15771i | ||||||
\(478\) | − | 5.43303i | − | 0.248501i | ||||||
\(479\) | 41.6793 | 1.90437 | 0.952187 | − | 0.305516i | \(-0.0988289\pi\) | ||||
0.952187 | + | 0.305516i | \(0.0988289\pi\) | |||||||
\(480\) | 0.0291943 | − | 0.114252i | 0.00133253 | − | 0.00521485i | ||||
\(481\) | 19.5478 | 0.891303 | ||||||||
\(482\) | − | 2.44838i | − | 0.111521i | ||||||
\(483\) | − | 1.06406i | − | 0.0484162i | ||||||
\(484\) | 16.8420 | 0.765544 | ||||||||
\(485\) | 13.5796 | + | 3.46994i | 0.616616 | + | 0.157562i | ||||
\(486\) | −39.2465 | −1.78026 | ||||||||
\(487\) | − | 7.56632i | − | 0.342863i | −0.985196 | − | 0.171431i | \(-0.945161\pi\) | ||
0.985196 | − | 0.171431i | \(-0.0548392\pi\) | |||||||
\(488\) | − | 25.8287i | − | 1.16921i | ||||||
\(489\) | 22.5323 | 1.01895 | ||||||||
\(490\) | −34.1885 | − | 8.73606i | −1.54448 | − | 0.394655i | ||||
\(491\) | −26.7723 | −1.20822 | −0.604108 | − | 0.796903i | \(-0.706470\pi\) | ||||
−0.604108 | + | 0.796903i | \(0.706470\pi\) | |||||||
\(492\) | − | 36.5141i | − | 1.64618i | ||||||
\(493\) | 0.0626653i | 0.00282230i | ||||||||
\(494\) | 33.8268 | 1.52194 | ||||||||
\(495\) | −2.90609 | + | 11.3730i | −0.130619 | + | 0.511177i | ||||
\(496\) | 17.6015 | 0.790331 | ||||||||
\(497\) | − | 1.55061i | − | 0.0695543i | ||||||
\(498\) | − | 6.59528i | − | 0.295542i | ||||||
\(499\) | 27.0405 | 1.21050 | 0.605249 | − | 0.796036i | \(-0.293074\pi\) | ||||
0.605249 | + | 0.796036i | \(0.293074\pi\) | |||||||
\(500\) | 30.4594 | − | 32.6619i | 1.36218 | − | 1.46068i | ||||
\(501\) | −18.3281 | −0.818838 | ||||||||
\(502\) | − | 27.3004i | − | 1.21848i | ||||||
\(503\) | − | 0.950190i | − | 0.0423669i | −0.999776 | − | 0.0211834i | \(-0.993257\pi\) | ||
0.999776 | − | 0.0211834i | \(-0.00674340\pi\) | |||||||
\(504\) | 7.32990 | 0.326500 | ||||||||
\(505\) | 2.53467 | − | 9.91942i | 0.112791 | − | 0.441408i | ||||
\(506\) | −9.18315 | −0.408241 | ||||||||
\(507\) | 4.47311i | 0.198658i | ||||||||
\(508\) | 8.53601i | 0.378724i | ||||||||
\(509\) | 32.8758 | 1.45719 | 0.728596 | − | 0.684944i | \(-0.240173\pi\) | ||||
0.728596 | + | 0.684944i | \(0.240173\pi\) | |||||||
\(510\) | −2.54735 | − | 0.650914i | −0.112798 | − | 0.0288230i | ||||
\(511\) | −11.5948 | −0.512926 | ||||||||
\(512\) | 38.9603i | 1.72182i | ||||||||
\(513\) | 16.4316i | 0.725473i | ||||||||
\(514\) | −20.8327 | −0.918893 | ||||||||
\(515\) | −12.9024 | − | 3.29691i | −0.568549 | − | 0.145279i | ||||
\(516\) | −30.3432 | −1.33579 | ||||||||
\(517\) | 5.94365i | 0.261402i | ||||||||
\(518\) | − | 8.51803i | − | 0.374261i | ||||||
\(519\) | −11.3880 | −0.499879 | ||||||||
\(520\) | 11.3119 | − | 44.2689i | 0.496058 | − | 1.94132i | ||||
\(521\) | −7.96960 | −0.349155 | −0.174577 | − | 0.984643i | \(-0.555856\pi\) | ||||
−0.174577 | + | 0.984643i | \(0.555856\pi\) | |||||||
\(522\) | − | 0.638906i | − | 0.0279642i | ||||||
\(523\) | 16.8372i | 0.736240i | 0.929778 | + | 0.368120i | \(0.119999\pi\) | ||||
−0.929778 | + | 0.368120i | \(0.880001\pi\) | |||||||
\(524\) | 61.0249 | 2.66589 | ||||||||
\(525\) | 3.24163 | + | 1.77237i | 0.141476 | + | 0.0773524i | ||||
\(526\) | −25.9033 | −1.12944 | ||||||||
\(527\) | 2.14732i | 0.0935389i | ||||||||
\(528\) | 10.2529i | 0.446201i | ||||||||
\(529\) | 20.9263 | 0.909837 | ||||||||
\(530\) | −17.0034 | + | 66.5428i | −0.738582 | + | 2.89043i | ||||
\(531\) | 14.7142 | 0.638543 | ||||||||
\(532\) | − | 9.82231i | − | 0.425851i | ||||||
\(533\) | 38.5486i | 1.66973i | ||||||||
\(534\) | −23.9651 | −1.03707 | ||||||||
\(535\) | 10.4661 | + | 2.67436i | 0.452488 | + | 0.115623i | ||||
\(536\) | −27.8059 | −1.20103 | ||||||||
\(537\) | − | 12.3491i | − | 0.532905i | ||||||
\(538\) | 15.3304i | 0.660939i | ||||||||
\(539\) | −16.7875 | −0.723090 | ||||||||
\(540\) | 43.0665 | + | 11.0046i | 1.85329 | + | 0.473563i | ||||
\(541\) | 22.9397 | 0.986254 | 0.493127 | − | 0.869957i | \(-0.335854\pi\) | ||||
0.493127 | + | 0.869957i | \(0.335854\pi\) | |||||||
\(542\) | − | 15.2478i | − | 0.654948i | ||||||
\(543\) | 11.0140i | 0.472655i | ||||||||
\(544\) | −0.0257256 | −0.00110297 | ||||||||
\(545\) | −5.32961 | + | 20.8574i | −0.228295 | + | 0.893432i | ||||
\(546\) | 7.56984 | 0.323959 | ||||||||
\(547\) | 8.56387i | 0.366164i | 0.983098 | + | 0.183082i | \(0.0586075\pi\) | ||||
−0.983098 | + | 0.183082i | \(0.941393\pi\) | |||||||
\(548\) | 62.6761i | 2.67739i | ||||||||
\(549\) | −10.6601 | −0.454964 | ||||||||
\(550\) | 15.2961 | − | 27.9763i | 0.652228 | − | 1.19291i | ||||
\(551\) | −0.427495 | −0.0182119 | ||||||||
\(552\) | 6.97762i | 0.296987i | ||||||||
\(553\) | − | 7.44873i | − | 0.316752i | ||||||
\(554\) | −0.478227 | −0.0203179 | ||||||||
\(555\) | 2.56605 | − | 10.0422i | 0.108923 | − | 0.426269i | ||||
\(556\) | 55.2795 | 2.34437 | ||||||||
\(557\) | − | 6.79073i | − | 0.287732i | −0.989597 | − | 0.143866i | \(-0.954046\pi\) | ||
0.989597 | − | 0.143866i | \(-0.0459535\pi\) | |||||||
\(558\) | − | 21.8931i | − | 0.926810i | ||||||
\(559\) | 32.0339 | 1.35489 | ||||||||
\(560\) | −6.40092 | − | 1.63560i | −0.270488 | − | 0.0691169i | ||||
\(561\) | −1.25082 | −0.0528097 | ||||||||
\(562\) | 51.5025i | 2.17250i | ||||||||
\(563\) | 20.2542i | 0.853612i | 0.904343 | + | 0.426806i | \(0.140361\pi\) | ||||
−0.904343 | + | 0.426806i | \(0.859639\pi\) | |||||||
\(564\) | 9.04462 | 0.380847 | ||||||||
\(565\) | −10.2869 | − | 2.62857i | −0.432772 | − | 0.110585i | ||||
\(566\) | 31.4050 | 1.32005 | ||||||||
\(567\) | − | 0.825794i | − | 0.0346801i | ||||||
\(568\) | 10.1682i | 0.426649i | ||||||||
\(569\) | 31.2543 | 1.31025 | 0.655125 | − | 0.755521i | \(-0.272616\pi\) | ||||
0.655125 | + | 0.755521i | \(0.272616\pi\) | |||||||
\(570\) | 4.44046 | − | 17.3777i | 0.185991 | − | 0.727873i | ||||
\(571\) | −31.1637 | −1.30416 | −0.652081 | − | 0.758149i | \(-0.726104\pi\) | ||||
−0.652081 | + | 0.758149i | \(0.726104\pi\) | |||||||
\(572\) | − | 43.5338i | − | 1.82024i | ||||||
\(573\) | − | 5.13287i | − | 0.214429i | ||||||
\(574\) | 16.7977 | 0.701123 | ||||||||
\(575\) | 3.45417 | − | 6.31761i | 0.144049 | − | 0.263463i | ||||
\(576\) | 16.2551 | 0.677297 | ||||||||
\(577\) | − | 30.7522i | − | 1.28023i | −0.768280 | − | 0.640114i | \(-0.778887\pi\) | ||
0.768280 | − | 0.640114i | \(-0.221113\pi\) | |||||||
\(578\) | − | 41.0489i | − | 1.70741i | ||||||
\(579\) | 14.1229 | 0.586927 | ||||||||
\(580\) | −0.286303 | + | 1.12045i | −0.0118881 | + | 0.0465240i | ||||
\(581\) | 2.02179 | 0.0838778 | ||||||||
\(582\) | − | 15.2271i | − | 0.631184i | ||||||
\(583\) | 32.6744i | 1.35323i | ||||||||
\(584\) | 76.0341 | 3.14631 | ||||||||
\(585\) | −18.2709 | − | 4.66868i | −0.755407 | − | 0.193026i | ||||
\(586\) | −63.1467 | −2.60857 | ||||||||
\(587\) | − | 17.7844i | − | 0.734042i | −0.930213 | − | 0.367021i | \(-0.880378\pi\) | ||
0.930213 | − | 0.367021i | \(-0.119622\pi\) | |||||||
\(588\) | 25.5460i | 1.05350i | ||||||||
\(589\) | −14.6488 | −0.603593 | ||||||||
\(590\) | −38.7239 | − | 9.89497i | −1.59424 | − | 0.407370i | ||||
\(591\) | −6.58950 | −0.271056 | ||||||||
\(592\) | 18.5347i | 0.761770i | ||||||||
\(593\) | − | 1.96286i | − | 0.0806051i | −0.999188 | − | 0.0403026i | \(-0.987168\pi\) | ||
0.999188 | − | 0.0403026i | \(-0.0128322\pi\) | |||||||
\(594\) | 31.7347 | 1.30209 | ||||||||
\(595\) | 0.199538 | − | 0.780890i | 0.00818026 | − | 0.0320134i | ||||
\(596\) | −18.7951 | −0.769878 | ||||||||
\(597\) | 9.06352i | 0.370945i | ||||||||
\(598\) | − | 14.7529i | − | 0.603291i | ||||||
\(599\) | 26.8177 | 1.09574 | 0.547871 | − | 0.836563i | \(-0.315438\pi\) | ||||
0.547871 | + | 0.836563i | \(0.315438\pi\) | |||||||
\(600\) | −21.2572 | − | 11.6224i | −0.867822 | − | 0.474483i | ||||
\(601\) | 31.3885 | 1.28036 | 0.640182 | − | 0.768223i | \(-0.278859\pi\) | ||||
0.640182 | + | 0.768223i | \(0.278859\pi\) | |||||||
\(602\) | − | 13.9589i | − | 0.568923i | ||||||
\(603\) | 11.4762i | 0.467346i | ||||||||
\(604\) | −63.0181 | −2.56417 | ||||||||
\(605\) | −2.33405 | + | 9.13427i | −0.0948924 | + | 0.371361i | ||||
\(606\) | −11.1229 | −0.451837 | ||||||||
\(607\) | 31.9764i | 1.29788i | 0.760839 | + | 0.648941i | \(0.224788\pi\) | ||||
−0.760839 | + | 0.648941i | \(0.775212\pi\) | |||||||
\(608\) | − | 0.175497i | − | 0.00711733i | ||||||
\(609\) | −0.0956661 | −0.00387658 | ||||||||
\(610\) | 28.0547 | + | 7.16870i | 1.13590 | + | 0.290252i | ||||
\(611\) | −9.54858 | −0.386294 | ||||||||
\(612\) | − | 3.89684i | − | 0.157521i | ||||||
\(613\) | − | 19.1393i | − | 0.773028i | −0.922283 | − | 0.386514i | \(-0.873679\pi\) | ||
0.922283 | − | 0.386514i | \(-0.126321\pi\) | |||||||
\(614\) | −69.8639 | −2.81948 | ||||||||
\(615\) | 19.8035 | + | 5.06031i | 0.798553 | + | 0.204051i | ||||
\(616\) | −9.47211 | −0.381642 | ||||||||
\(617\) | − | 40.5121i | − | 1.63096i | −0.578788 | − | 0.815478i | \(-0.696474\pi\) | ||
0.578788 | − | 0.815478i | \(-0.303526\pi\) | |||||||
\(618\) | 14.4678i | 0.581982i | ||||||||
\(619\) | 8.35556 | 0.335838 | 0.167919 | − | 0.985801i | \(-0.446295\pi\) | ||||
0.167919 | + | 0.985801i | \(0.446295\pi\) | |||||||
\(620\) | −9.81063 | + | 38.3938i | −0.394005 | + | 1.54193i | ||||
\(621\) | 7.16632 | 0.287575 | ||||||||
\(622\) | − | 9.90251i | − | 0.397054i | ||||||
\(623\) | − | 7.34650i | − | 0.294331i | ||||||
\(624\) | −16.4715 | −0.659387 | ||||||||
\(625\) | 13.4930 | + | 21.0461i | 0.539720 | + | 0.841845i | ||||
\(626\) | −26.4768 | −1.05822 | ||||||||
\(627\) | − | 8.53295i | − | 0.340773i | ||||||
\(628\) | 25.0249i | 0.998601i | ||||||||
\(629\) | −2.26117 | −0.0901586 | ||||||||
\(630\) | −2.03440 | + | 7.96160i | −0.0810524 | + | 0.317198i | ||||
\(631\) | 18.3668 | 0.731169 | 0.365585 | − | 0.930778i | \(-0.380869\pi\) | ||||
0.365585 | + | 0.930778i | \(0.380869\pi\) | |||||||
\(632\) | 48.8456i | 1.94297i | ||||||||
\(633\) | 19.4463i | 0.772922i | ||||||||
\(634\) | −6.42297 | −0.255089 | ||||||||
\(635\) | −4.62952 | − | 1.18296i | −0.183717 | − | 0.0469445i | ||||
\(636\) | 49.7215 | 1.97159 | ||||||||
\(637\) | − | 26.9694i | − | 1.06857i | ||||||
\(638\) | 0.825630i | 0.0326870i | ||||||||
\(639\) | 4.19668 | 0.166018 | ||||||||
\(640\) | −42.5489 | − | 10.8724i | −1.68189 | − | 0.429768i | ||||
\(641\) | −21.6917 | −0.856772 | −0.428386 | − | 0.903596i | \(-0.640918\pi\) | ||||
−0.428386 | + | 0.903596i | \(0.640918\pi\) | |||||||
\(642\) | − | 11.7359i | − | 0.463179i | ||||||
\(643\) | 23.2362i | 0.916347i | 0.888863 | + | 0.458174i | \(0.151496\pi\) | ||||
−0.888863 | + | 0.458174i | \(0.848504\pi\) | |||||||
\(644\) | −4.28381 | −0.168806 | ||||||||
\(645\) | 4.20512 | − | 16.4567i | 0.165576 | − | 0.647982i | ||||
\(646\) | −3.91287 | −0.153950 | ||||||||
\(647\) | 24.4246i | 0.960232i | 0.877205 | + | 0.480116i | \(0.159405\pi\) | ||||
−0.877205 | + | 0.480116i | \(0.840595\pi\) | |||||||
\(648\) | 5.41521i | 0.212729i | ||||||||
\(649\) | −19.0145 | −0.746386 | ||||||||
\(650\) | 44.9444 | + | 24.5735i | 1.76287 | + | 0.963850i | ||||
\(651\) | −3.27815 | −0.128481 | ||||||||
\(652\) | − | 90.7135i | − | 3.55261i | ||||||
\(653\) | − | 13.0994i | − | 0.512618i | −0.966595 | − | 0.256309i | \(-0.917494\pi\) | ||
0.966595 | − | 0.256309i | \(-0.0825064\pi\) | |||||||
\(654\) | 23.3879 | 0.914540 | ||||||||
\(655\) | −8.45714 | + | 33.0970i | −0.330448 | + | 1.29321i | ||||
\(656\) | −36.5507 | −1.42707 | ||||||||
\(657\) | − | 31.3811i | − | 1.22429i | ||||||
\(658\) | 4.16083i | 0.162206i | ||||||||
\(659\) | 37.3844 | 1.45629 | 0.728145 | − | 0.685423i | \(-0.240383\pi\) | ||||
0.728145 | + | 0.685423i | \(0.240383\pi\) | |||||||
\(660\) | −22.3645 | − | 5.71471i | −0.870536 | − | 0.222445i | ||||
\(661\) | 30.5258 | 1.18731 | 0.593657 | − | 0.804718i | \(-0.297683\pi\) | ||||
0.593657 | + | 0.804718i | \(0.297683\pi\) | |||||||
\(662\) | 25.9830i | 1.00986i | ||||||||
\(663\) | − | 2.00946i | − | 0.0780411i | ||||||
\(664\) | −13.2580 | −0.514511 | ||||||||
\(665\) | 5.32714 | + | 1.36123i | 0.206578 | + | 0.0527861i | ||||
\(666\) | 23.0538 | 0.893317 | ||||||||
\(667\) | 0.186444i | 0.00721913i | ||||||||
\(668\) | 73.7876i | 2.85493i | ||||||||
\(669\) | 4.74733 | 0.183542 | ||||||||
\(670\) | 7.71747 | − | 30.2023i | 0.298152 | − | 1.16682i | ||||
\(671\) | 13.7756 | 0.531802 | ||||||||
\(672\) | − | 0.0392732i | − | 0.00151499i | ||||||
\(673\) | − | 18.0019i | − | 0.693923i | −0.937879 | − | 0.346962i | \(-0.887213\pi\) | ||
0.937879 | − | 0.346962i | \(-0.112787\pi\) | |||||||
\(674\) | −8.66696 | −0.333839 | ||||||||
\(675\) | −11.9367 | + | 21.8321i | −0.459445 | + | 0.840317i | ||||
\(676\) | 18.0084 | 0.692632 | ||||||||
\(677\) | 1.78554i | 0.0686239i | 0.999411 | + | 0.0343119i | \(0.0109240\pi\) | ||||
−0.999411 | + | 0.0343119i | \(0.989076\pi\) | |||||||
\(678\) | 11.5349i | 0.442997i | ||||||||
\(679\) | 4.66787 | 0.179137 | ||||||||
\(680\) | −1.30849 | + | 5.12075i | −0.0501781 | + | 0.196372i | ||||
\(681\) | −20.9981 | −0.804650 | ||||||||
\(682\) | 28.2915i | 1.08334i | ||||||||
\(683\) | 16.9962i | 0.650343i | 0.945655 | + | 0.325171i | \(0.105422\pi\) | ||||
−0.945655 | + | 0.325171i | \(0.894578\pi\) | |||||||
\(684\) | 26.5838 | 1.01646 | ||||||||
\(685\) | −33.9925 | − | 8.68598i | −1.29879 | − | 0.331874i | ||||
\(686\) | −24.5153 | −0.935998 | ||||||||
\(687\) | 22.2844i | 0.850205i | ||||||||
\(688\) | 30.3737i | 1.15799i | ||||||||
\(689\) | −52.4919 | −1.99978 | ||||||||
\(690\) | −7.57896 | − | 1.93662i | −0.288526 | − | 0.0737260i | ||||
\(691\) | −9.73250 | −0.370242 | −0.185121 | − | 0.982716i | \(-0.559268\pi\) | ||||
−0.185121 | + | 0.982716i | \(0.559268\pi\) | |||||||
\(692\) | 45.8475i | 1.74286i | ||||||||
\(693\) | 3.90937i | 0.148505i | ||||||||
\(694\) | 33.3301 | 1.26519 | ||||||||
\(695\) | −7.66092 | + | 29.9809i | −0.290595 | + | 1.13724i | ||||
\(696\) | 0.627338 | 0.0237792 | ||||||||
\(697\) | − | 4.45906i | − | 0.168899i | ||||||
\(698\) | 8.59582i | 0.325356i | ||||||||
\(699\) | 10.9147 | 0.412831 | ||||||||
\(700\) | 7.13542 | − | 13.0506i | 0.269694 | − | 0.493265i | ||||
\(701\) | 31.1728 | 1.17738 | 0.588690 | − | 0.808359i | \(-0.299644\pi\) | ||||
0.588690 | + | 0.808359i | \(0.299644\pi\) | |||||||
\(702\) | 50.9823i | 1.92420i | ||||||||
\(703\) | − | 15.4254i | − | 0.581781i | ||||||
\(704\) | −21.0058 | −0.791686 | ||||||||
\(705\) | −1.25345 | + | 4.90536i | −0.0472076 | + | 0.184747i | ||||
\(706\) | 26.2951 | 0.989627 | ||||||||
\(707\) | − | 3.40973i | − | 0.128236i | ||||||
\(708\) | 28.9349i | 1.08744i | ||||||||
\(709\) | 47.2147 | 1.77318 | 0.886592 | − | 0.462552i | \(-0.153066\pi\) | ||||
0.886592 | + | 0.462552i | \(0.153066\pi\) | |||||||
\(710\) | −11.0445 | − | 2.82217i | −0.414494 | − | 0.105914i | ||||
\(711\) | 20.1598 | 0.756050 | ||||||||
\(712\) | 48.1752i | 1.80544i | ||||||||
\(713\) | 6.38879i | 0.239262i | ||||||||
\(714\) | −0.875632 | −0.0327697 | ||||||||
\(715\) | 23.6106 | + | 6.03313i | 0.882987 | + | 0.225626i | ||||
\(716\) | −49.7168 | −1.85801 | ||||||||
\(717\) | − | 2.20174i | − | 0.0822256i | ||||||
\(718\) | 29.6015i | 1.10472i | ||||||||
\(719\) | −10.9829 | −0.409592 | −0.204796 | − | 0.978805i | \(-0.565653\pi\) | ||||
−0.204796 | + | 0.978805i | \(0.565653\pi\) | |||||||
\(720\) | 4.42672 | − | 17.3239i | 0.164974 | − | 0.645624i | ||||
\(721\) | −4.43512 | −0.165172 | ||||||||
\(722\) | 19.8261i | 0.737851i | ||||||||
\(723\) | − | 0.992209i | − | 0.0369007i | ||||||
\(724\) | 44.3415 | 1.64794 | ||||||||
\(725\) | −0.567998 | − | 0.310554i | −0.0210949 | − | 0.0115337i | ||||
\(726\) | 10.2425 | 0.380134 | ||||||||
\(727\) | 4.07723i | 0.151216i | 0.997138 | + | 0.0756080i | \(0.0240898\pi\) | ||||
−0.997138 | + | 0.0756080i | \(0.975910\pi\) | |||||||
\(728\) | − | 15.2171i | − | 0.563983i | ||||||
\(729\) | −12.5780 | −0.465853 | ||||||||
\(730\) | −21.1031 | + | 82.5867i | −0.781060 | + | 3.05667i | ||||
\(731\) | −3.70549 | −0.137052 | ||||||||
\(732\) | − | 20.9628i | − | 0.774806i | ||||||
\(733\) | 13.3951i | 0.494759i | 0.968919 | + | 0.247379i | \(0.0795694\pi\) | ||||
−0.968919 | + | 0.247379i | \(0.920431\pi\) | |||||||
\(734\) | −7.08253 | −0.261421 | ||||||||
\(735\) | −13.8549 | − | 3.54030i | −0.511047 | − | 0.130586i | ||||
\(736\) | −0.0765396 | −0.00282129 | ||||||||
\(737\) | − | 14.8302i | − | 0.546276i | ||||||
\(738\) | 45.4626i | 1.67350i | ||||||||
\(739\) | −22.3405 | −0.821810 | −0.410905 | − | 0.911678i | \(-0.634787\pi\) | ||||
−0.410905 | + | 0.911678i | \(0.634787\pi\) | |||||||
\(740\) | −40.4293 | − | 10.3308i | −1.48621 | − | 0.379766i | ||||
\(741\) | 13.7083 | 0.503588 | ||||||||
\(742\) | 22.8736i | 0.839716i | ||||||||
\(743\) | 36.1839i | 1.32746i | 0.747973 | + | 0.663730i | \(0.231027\pi\) | ||||
−0.747973 | + | 0.663730i | \(0.768973\pi\) | |||||||
\(744\) | 21.4967 | 0.788107 | ||||||||
\(745\) | 2.60472 | − | 10.1936i | 0.0954296 | − | 0.373463i | ||||
\(746\) | 92.7665 | 3.39642 | ||||||||
\(747\) | 5.47191i | 0.200207i | ||||||||
\(748\) | 5.03572i | 0.184124i | ||||||||
\(749\) | 3.59764 | 0.131455 | ||||||||
\(750\) | 18.5239 | − | 19.8634i | 0.676399 | − | 0.725308i | ||||
\(751\) | −10.1216 | −0.369341 | −0.184671 | − | 0.982800i | \(-0.559122\pi\) | ||||
−0.184671 | + | 0.982800i | \(0.559122\pi\) | |||||||
\(752\) | − | 9.05370i | − | 0.330155i | ||||||
\(753\) | − | 11.0635i | − | 0.403177i | ||||||
\(754\) | −1.32639 | −0.0483042 | ||||||||
\(755\) | 8.73336 | − | 34.1779i | 0.317840 | − | 1.24386i | ||||
\(756\) | 14.8038 | 0.538408 | ||||||||
\(757\) | 32.6680i | 1.18734i | 0.804709 | + | 0.593670i | \(0.202321\pi\) | ||||
−0.804709 | + | 0.593670i | \(0.797679\pi\) | |||||||
\(758\) | − | 22.8468i | − | 0.829834i | ||||||
\(759\) | −3.72148 | −0.135081 | ||||||||
\(760\) | −34.9332 | − | 8.92634i | −1.26716 | − | 0.323792i | ||||
\(761\) | 24.2568 | 0.879309 | 0.439655 | − | 0.898167i | \(-0.355101\pi\) | ||||
0.439655 | + | 0.898167i | \(0.355101\pi\) | |||||||
\(762\) | 5.19120i | 0.188057i | ||||||||
\(763\) | 7.16957i | 0.259556i | ||||||||
\(764\) | −20.6646 | −0.747619 | ||||||||
\(765\) | 2.11346 | + | 0.540044i | 0.0764122 | + | 0.0195253i | ||||
\(766\) | 85.5556 | 3.09125 | ||||||||
\(767\) | − | 30.5472i | − | 1.10299i | ||||||
\(768\) | 31.7069i | 1.14412i | ||||||||
\(769\) | 16.5744 | 0.597689 | 0.298845 | − | 0.954302i | \(-0.403399\pi\) | ||||
0.298845 | + | 0.954302i | \(0.403399\pi\) | |||||||
\(770\) | 2.62896 | − | 10.2884i | 0.0947412 | − | 0.370769i | ||||
\(771\) | −8.44249 | −0.304049 | ||||||||
\(772\) | − | 56.8578i | − | 2.04636i | ||||||
\(773\) | 37.9826i | 1.36614i | 0.730353 | + | 0.683070i | \(0.239356\pi\) | ||||
−0.730353 | + | 0.683070i | \(0.760644\pi\) | |||||||
\(774\) | 37.7794 | 1.35795 | ||||||||
\(775\) | −19.4633 | − | 10.6416i | −0.699144 | − | 0.382258i | ||||
\(776\) | −30.6099 | −1.09883 | ||||||||
\(777\) | − | 3.45194i | − | 0.123838i | ||||||
\(778\) | − | 54.5137i | − | 1.95441i | ||||||
\(779\) | 30.4192 | 1.08988 | ||||||||
\(780\) | 9.18079 | − | 35.9289i | 0.328725 | − | 1.28646i | ||||
\(781\) | −5.42318 | −0.194057 | ||||||||
\(782\) | 1.70652i | 0.0610251i | ||||||||
\(783\) | − | 0.644303i | − | 0.0230255i | ||||||
\(784\) | 25.5717 | 0.913275 | ||||||||
\(785\) | −13.5723 | − | 3.46807i | −0.484415 | − | 0.123781i | ||||
\(786\) | 37.1125 | 1.32376 | ||||||||
\(787\) | 1.38906i | 0.0495146i | 0.999693 | + | 0.0247573i | \(0.00788129\pi\) | ||||
−0.999693 | + | 0.0247573i | \(0.992119\pi\) | |||||||
\(788\) | 26.5289i | 0.945052i | ||||||||
\(789\) | −10.4973 | −0.373715 | ||||||||
\(790\) | −53.0551 | − | 13.5570i | −1.88762 | − | 0.482336i | ||||
\(791\) | −3.53604 | −0.125727 | ||||||||
\(792\) | − | 25.6360i | − | 0.910936i | ||||||
\(793\) | 22.1308i | 0.785887i | ||||||||
\(794\) | −45.7644 | −1.62412 | ||||||||
\(795\) | −6.89066 | + | 26.9665i | −0.244386 | + | 0.956404i | ||||
\(796\) | 36.4891 | 1.29332 | ||||||||
\(797\) | 48.2065i | 1.70756i | 0.520632 | + | 0.853781i | \(0.325696\pi\) | ||||
−0.520632 | + | 0.853781i | \(0.674304\pi\) | |||||||
\(798\) | − | 5.97346i | − | 0.211458i | ||||||
\(799\) | 1.10452 | 0.0390751 | ||||||||
\(800\) | 0.127490 | − | 0.233176i | 0.00450744 | − | 0.00824403i | ||||
\(801\) | 19.8831 | 0.702534 | ||||||||
\(802\) | − | 74.2888i | − | 2.62323i | ||||||
\(803\) | 40.5524i | 1.43106i | ||||||||
\(804\) | −22.5675 | −0.795893 | ||||||||
\(805\) | 0.593672 | − | 2.32333i | 0.0209242 | − | 0.0818867i | ||||
\(806\) | −45.4508 | −1.60094 | ||||||||
\(807\) | 6.21265i | 0.218695i | ||||||||
\(808\) | 22.3596i | 0.786606i | ||||||||
\(809\) | −14.6738 | −0.515902 | −0.257951 | − | 0.966158i | \(-0.583047\pi\) | ||||
−0.257951 | + | 0.966158i | \(0.583047\pi\) | |||||||
\(810\) | −5.88189 | − | 1.50298i | −0.206669 | − | 0.0528093i | ||||
\(811\) | −19.7745 | −0.694377 | −0.347189 | − | 0.937795i | \(-0.612864\pi\) | ||||
−0.347189 | + | 0.937795i | \(0.612864\pi\) | |||||||
\(812\) | 0.385145i | 0.0135159i | ||||||||
\(813\) | − | 6.17918i | − | 0.216713i | ||||||
\(814\) | −29.7914 | −1.04419 | ||||||||
\(815\) | 49.1986 | + | 12.5715i | 1.72335 | + | 0.440362i | ||||
\(816\) | 1.90532 | 0.0666995 | ||||||||
\(817\) | − | 25.2784i | − | 0.884379i | ||||||
\(818\) | 39.6146i | 1.38509i | ||||||||
\(819\) | −6.28047 | −0.219457 | ||||||||
\(820\) | 20.3725 | − | 79.7274i | 0.711437 | − | 2.78420i | ||||
\(821\) | −28.5257 | −0.995554 | −0.497777 | − | 0.867305i | \(-0.665850\pi\) | ||||
−0.497777 | + | 0.867305i | \(0.665850\pi\) | |||||||
\(822\) | 38.1167i | 1.32947i | ||||||||
\(823\) | − | 20.1194i | − | 0.701320i | −0.936503 | − | 0.350660i | \(-0.885957\pi\) | ||
0.936503 | − | 0.350660i | \(-0.114043\pi\) | |||||||
\(824\) | 29.0836 | 1.01318 | ||||||||
\(825\) | 6.19877 | − | 11.3374i | 0.215813 | − | 0.394719i | ||||
\(826\) | −13.3111 | −0.463151 | ||||||||
\(827\) | − | 25.3763i | − | 0.882421i | −0.897404 | − | 0.441211i | \(-0.854549\pi\) | ||
0.897404 | − | 0.441211i | \(-0.145451\pi\) | |||||||
\(828\) | − | 11.5940i | − | 0.402920i | ||||||
\(829\) | −40.5872 | −1.40965 | −0.704826 | − | 0.709380i | \(-0.748975\pi\) | ||||
−0.704826 | + | 0.709380i | \(0.748975\pi\) | |||||||
\(830\) | 3.67973 | − | 14.4006i | 0.127725 | − | 0.499852i | ||||
\(831\) | −0.193802 | −0.00672291 | ||||||||
\(832\) | − | 33.7462i | − | 1.16994i | ||||||
\(833\) | 3.11966i | 0.108090i | ||||||||
\(834\) | 33.6184 | 1.16411 | ||||||||
\(835\) | −40.0188 | − | 10.2259i | −1.38491 | − | 0.353880i | ||||
\(836\) | −34.3531 | −1.18813 | ||||||||
\(837\) | − | 22.0781i | − | 0.763129i | ||||||
\(838\) | 35.4071i | 1.22312i | ||||||||
\(839\) | 16.9800 | 0.586216 | 0.293108 | − | 0.956079i | \(-0.405311\pi\) | ||||
0.293108 | + | 0.956079i | \(0.405311\pi\) | |||||||
\(840\) | −7.81744 | − | 1.99756i | −0.269727 | − | 0.0689224i | ||||
\(841\) | −28.9832 | −0.999422 | ||||||||
\(842\) | − | 35.8233i | − | 1.23455i | ||||||
\(843\) | 20.8715i | 0.718852i | ||||||||
\(844\) | 78.2895 | 2.69484 | ||||||||
\(845\) | −2.49570 | + | 9.76689i | −0.0858546 | + | 0.335991i | ||||
\(846\) | −11.2612 | −0.387167 | ||||||||
\(847\) | 3.13984i | 0.107886i | ||||||||
\(848\) | − | 49.7714i | − | 1.70916i | ||||||
\(849\) | 12.7269 | 0.436787 | ||||||||
\(850\) | −5.19889 | − | 2.84250i | −0.178320 | − | 0.0974971i | ||||
\(851\) | −6.72750 | −0.230616 | ||||||||
\(852\) | 8.25260i | 0.282729i | ||||||||
\(853\) | 3.23644i | 0.110814i | 0.998464 | + | 0.0554069i | \(0.0176456\pi\) | ||||
−0.998464 | + | 0.0554069i | \(0.982354\pi\) | |||||||
\(854\) | 9.64358 | 0.329997 | ||||||||
\(855\) | −3.68412 | + | 14.4178i | −0.125994 | + | 0.493077i | ||||
\(856\) | −23.5918 | −0.806351 | ||||||||
\(857\) | 1.40877i | 0.0481228i | 0.999710 | + | 0.0240614i | \(0.00765971\pi\) | ||||
−0.999710 | + | 0.0240614i | \(0.992340\pi\) | |||||||
\(858\) | − | 26.4752i | − | 0.903848i | ||||||
\(859\) | −43.3662 | −1.47963 | −0.739817 | − | 0.672808i | \(-0.765088\pi\) | ||||
−0.739817 | + | 0.672808i | \(0.765088\pi\) | |||||||
\(860\) | −66.2535 | − | 16.9295i | −2.25923 | − | 0.577292i | ||||
\(861\) | 6.80730 | 0.231992 | ||||||||
\(862\) | − | 42.5563i | − | 1.44947i | ||||||
\(863\) | − | 36.3292i | − | 1.23666i | −0.785919 | − | 0.618329i | \(-0.787810\pi\) | ||
0.785919 | − | 0.618329i | \(-0.212190\pi\) | |||||||
\(864\) | 0.264501 | 0.00899852 | ||||||||
\(865\) | −24.8654 | − | 6.35377i | −0.845450 | − | 0.216035i | ||||
\(866\) | −55.6482 | −1.89100 | ||||||||
\(867\) | − | 16.6351i | − | 0.564958i | ||||||
\(868\) | 13.1976i | 0.447956i | ||||||||
\(869\) | −26.0516 | −0.883739 | ||||||||
\(870\) | −0.174116 | + | 0.681402i | −0.00590309 | + | 0.0231017i | ||||
\(871\) | 23.8249 | 0.807276 | ||||||||
\(872\) | − | 47.0150i | − | 1.59213i | ||||||
\(873\) | 12.6335i | 0.427578i | ||||||||
\(874\) | −11.6417 | −0.393786 | ||||||||
\(875\) | 6.08913 | + | 5.67852i | 0.205850 | + | 0.191969i | ||||
\(876\) | 61.7097 | 2.08498 | ||||||||
\(877\) | − | 30.8667i | − | 1.04229i | −0.853467 | − | 0.521147i | \(-0.825504\pi\) | ||
0.853467 | − | 0.521147i | \(-0.174496\pi\) | |||||||
\(878\) | − | 88.9987i | − | 3.00356i | ||||||
\(879\) | −25.5903 | −0.863139 | ||||||||
\(880\) | −5.72045 | + | 22.3869i | −0.192836 | + | 0.754663i | ||||
\(881\) | −34.9920 | −1.17891 | −0.589456 | − | 0.807801i | \(-0.700658\pi\) | ||||
−0.589456 | + | 0.807801i | \(0.700658\pi\) | |||||||
\(882\) | − | 31.8066i | − | 1.07098i | ||||||
\(883\) | 44.7518i | 1.50602i | 0.658011 | + | 0.753008i | \(0.271398\pi\) | ||||
−0.658011 | + | 0.753008i | \(0.728602\pi\) | |||||||
\(884\) | −8.08996 | −0.272095 | ||||||||
\(885\) | −15.6929 | − | 4.00995i | −0.527511 | − | 0.134793i | ||||
\(886\) | −100.978 | −3.39243 | ||||||||
\(887\) | − | 21.2497i | − | 0.713495i | −0.934201 | − | 0.356747i | \(-0.883886\pi\) | ||
0.934201 | − | 0.356747i | \(-0.116114\pi\) | |||||||
\(888\) | 22.6364i | 0.759627i | ||||||||
\(889\) | −1.59136 | −0.0533726 | ||||||||
\(890\) | −52.3270 | − | 13.3709i | −1.75400 | − | 0.448194i | ||||
\(891\) | −2.88818 | −0.0967576 | ||||||||
\(892\) | − | 19.1124i | − | 0.639931i | ||||||
\(893\) | 7.53491i | 0.252146i | ||||||||
\(894\) | −11.4303 | −0.382286 | ||||||||
\(895\) | 6.89001 | − | 26.9640i | 0.230308 | − | 0.901307i | ||||
\(896\) | −14.6259 | −0.488616 | ||||||||
\(897\) | − | 5.97863i | − | 0.199621i | ||||||
\(898\) | 4.44566i | 0.148354i | ||||||||
\(899\) | 0.574397 | 0.0191572 | ||||||||
\(900\) | 35.3210 | + | 19.3118i | 1.17737 | + | 0.643727i | ||||
\(901\) | 6.07194 | 0.202286 | ||||||||
\(902\) | − | 58.7493i | − | 1.95614i | ||||||
\(903\) | − | 5.65687i | − | 0.188249i | ||||||
\(904\) | 23.1878 | 0.771216 | ||||||||
\(905\) | −6.14507 | + | 24.0487i | −0.204269 | + | 0.799405i | ||||
\(906\) | −38.3246 | −1.27325 | ||||||||
\(907\) | − | 7.07983i | − | 0.235082i | −0.993068 | − | 0.117541i | \(-0.962499\pi\) | ||
0.993068 | − | 0.117541i | \(-0.0375012\pi\) | |||||||
\(908\) | 84.5370i | 2.80546i | ||||||||
\(909\) | 9.22833 | 0.306085 | ||||||||
\(910\) | 16.5285 | + | 4.22347i | 0.547915 | + | 0.140007i | ||||
\(911\) | −40.6767 | −1.34768 | −0.673840 | − | 0.738877i | \(-0.735356\pi\) | ||||
−0.673840 | + | 0.738877i | \(0.735356\pi\) | |||||||
\(912\) | 12.9979i | 0.430402i | ||||||||
\(913\) | − | 7.07110i | − | 0.234019i | ||||||
\(914\) | 23.4361 | 0.775196 | ||||||||
\(915\) | 11.3692 | + | 2.90513i | 0.375854 | + | 0.0960405i | ||||
\(916\) | 89.7156 | 2.96429 | ||||||||
\(917\) | 11.3768i | 0.375696i | ||||||||
\(918\) | − | 5.89731i | − | 0.194640i | ||||||
\(919\) | 11.3936 | 0.375841 | 0.187920 | − | 0.982184i | \(-0.439825\pi\) | ||||
0.187920 | + | 0.982184i | \(0.439825\pi\) | |||||||
\(920\) | −3.89305 | + | 15.2354i | −0.128350 | + | 0.502297i | ||||
\(921\) | −28.3124 | −0.932927 | ||||||||
\(922\) | 19.5095i | 0.642512i | ||||||||
\(923\) | − | 8.71243i | − | 0.286773i | ||||||
\(924\) | −7.68763 | −0.252904 | ||||||||
\(925\) | 11.2058 | − | 20.4952i | 0.368444 | − | 0.673878i | ||||
\(926\) | −50.3204 | −1.65363 | ||||||||
\(927\) | − | 12.0035i | − | 0.394247i | ||||||
\(928\) | 0.00688145i | 0.000225895i | ||||||||
\(929\) | 38.5646 | 1.26526 | 0.632631 | − | 0.774453i | \(-0.281975\pi\) | ||||
0.632631 | + | 0.774453i | \(0.281975\pi\) | |||||||
\(930\) | −5.96636 | + | 23.3493i | −0.195645 | + | 0.765654i | ||||
\(931\) | −21.2819 | −0.697488 | ||||||||
\(932\) | − | 43.9417i | − | 1.43936i | ||||||
\(933\) | − | 4.01300i | − | 0.131380i | ||||||
\(934\) | −38.9188 | −1.27346 | ||||||||
\(935\) | −2.73113 | − | 0.697875i | −0.0893174 | − | 0.0228230i | ||||
\(936\) | 41.1847 | 1.34616 | ||||||||
\(937\) | 35.6493i | 1.16461i | 0.812970 | + | 0.582306i | \(0.197849\pi\) | ||||
−0.812970 | + | 0.582306i | \(0.802151\pi\) | |||||||
\(938\) | − | 10.3818i | − | 0.338978i | ||||||
\(939\) | −10.7297 | −0.350152 | ||||||||
\(940\) | 19.7487 | + | 5.04630i | 0.644130 | + | 0.164592i | ||||
\(941\) | −0.459712 | −0.0149862 | −0.00749308 | − | 0.999972i | \(-0.502385\pi\) | ||||
−0.00749308 | + | 0.999972i | \(0.502385\pi\) | |||||||
\(942\) | 15.2189i | 0.495860i | ||||||||
\(943\) | − | 13.2668i | − | 0.432025i | ||||||
\(944\) | 28.9640 | 0.942697 | ||||||||
\(945\) | −2.05158 | + | 8.02885i | −0.0667380 | + | 0.261179i | ||||
\(946\) | −48.8207 | −1.58730 | ||||||||
\(947\) | − | 16.4312i | − | 0.533944i | −0.963704 | − | 0.266972i | \(-0.913977\pi\) | ||
0.963704 | − | 0.266972i | \(-0.0860231\pi\) | |||||||
\(948\) | 39.6434i | 1.28756i | ||||||||
\(949\) | −65.1482 | −2.11480 | ||||||||
\(950\) | 19.3912 | − | 35.4662i | 0.629135 | − | 1.15068i | ||||
\(951\) | −2.60291 | −0.0844053 | ||||||||
\(952\) | 1.76022i | 0.0570490i | ||||||||
\(953\) | − | 27.4225i | − | 0.888302i | −0.895952 | − | 0.444151i | \(-0.853505\pi\) | ||
0.895952 | − | 0.444151i | \(-0.146495\pi\) | |||||||
\(954\) | −61.9067 | −2.00430 | ||||||||
\(955\) | 2.86380 | − | 11.2075i | 0.0926705 | − | 0.362665i | ||||
\(956\) | −8.86406 | −0.286684 | ||||||||
\(957\) | 0.334588i | 0.0108157i | ||||||||
\(958\) | − | 102.047i | − | 3.29698i | ||||||
\(959\) | −11.6847 | −0.377318 | ||||||||
\(960\) | −17.3363 | − | 4.42988i | −0.559527 | − | 0.142974i | ||||
\(961\) | −11.3174 | −0.365076 | ||||||||
\(962\) | − | 47.8604i | − | 1.54308i | ||||||
\(963\) | 9.73692i | 0.313768i | ||||||||
\(964\) | −3.99457 | −0.128656 | ||||||||
\(965\) | 30.8369 | + | 7.87963i | 0.992674 | + | 0.253654i | ||||
\(966\) | −2.60521 | −0.0838213 | ||||||||
\(967\) | 45.1755i | 1.45275i | 0.687300 | + | 0.726373i | \(0.258796\pi\) | ||||
−0.687300 | + | 0.726373i | \(0.741204\pi\) | |||||||
\(968\) | − | 20.5897i | − | 0.661779i | ||||||
\(969\) | −1.58569 | −0.0509398 | ||||||||
\(970\) | 8.49572 | − | 33.2479i | 0.272781 | − | 1.06753i | ||||
\(971\) | 50.1290 | 1.60872 | 0.804359 | − | 0.594144i | \(-0.202509\pi\) | ||||
0.804359 | + | 0.594144i | \(0.202509\pi\) | |||||||
\(972\) | 64.0312i | 2.05380i | ||||||||
\(973\) | 10.3057i | 0.330386i | ||||||||
\(974\) | −18.5252 | −0.593587 | ||||||||
\(975\) | 18.2138 | + | 9.95842i | 0.583308 | + | 0.318925i | ||||
\(976\) | −20.9838 | −0.671675 | ||||||||
\(977\) | 2.05208i | 0.0656518i | 0.999461 | + | 0.0328259i | \(0.0104507\pi\) | ||||
−0.999461 | + | 0.0328259i | \(0.989549\pi\) | |||||||
\(978\) | − | 55.1676i | − | 1.76407i | ||||||
\(979\) | −25.6940 | −0.821185 | ||||||||
\(980\) | −14.2530 | + | 55.7790i | −0.455296 | + | 1.78180i | ||||
\(981\) | −19.4042 | −0.619530 | ||||||||
\(982\) | 65.5487i | 2.09174i | ||||||||
\(983\) | 48.6503i | 1.55170i | 0.630915 | + | 0.775852i | \(0.282680\pi\) | ||||
−0.630915 | + | 0.775852i | \(0.717320\pi\) | |||||||
\(984\) | −44.6394 | −1.42305 | ||||||||
\(985\) | −14.3880 | − | 3.67651i | −0.458439 | − | 0.117143i | ||||
\(986\) | 0.153428 | 0.00488616 | ||||||||
\(987\) | 1.68618i | 0.0536718i | ||||||||
\(988\) | − | 55.1888i | − | 1.75579i | ||||||
\(989\) | −11.0247 | −0.350565 | ||||||||
\(990\) | 27.8453 | + | 7.11521i | 0.884983 | + | 0.226136i | ||||
\(991\) | 50.2126 | 1.59506 | 0.797528 | − | 0.603282i | \(-0.206141\pi\) | ||||
0.797528 | + | 0.603282i | \(0.206141\pi\) | |||||||
\(992\) | 0.235804i | 0.00748677i | ||||||||
\(993\) | 10.5297i | 0.334149i | ||||||||
\(994\) | −3.79648 | −0.120417 | ||||||||
\(995\) | −5.05684 | + | 19.7899i | −0.160313 | + | 0.627382i | ||||
\(996\) | −10.7603 | −0.340953 | ||||||||
\(997\) | 21.8288i | 0.691325i | 0.938359 | + | 0.345663i | \(0.112346\pi\) | ||||
−0.938359 | + | 0.345663i | \(0.887654\pi\) | |||||||
\(998\) | − | 66.2053i | − | 2.09569i | ||||||
\(999\) | 23.2485 | 0.735551 |
(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 | 1205.2.b.c.724.4 | ✓ | 46 | |
5.2 | odd | 4 | 6025.2.a.p.1.43 | 46 | |||
5.3 | odd | 4 | 6025.2.a.p.1.4 | 46 | |||
5.4 | even | 2 | inner | 1205.2.b.c.724.43 | yes | 46 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1205.2.b.c.724.4 | ✓ | 46 | 1.1 | even | 1 | trivial | |
1205.2.b.c.724.43 | yes | 46 | 5.4 | even | 2 | inner | |
6025.2.a.p.1.4 | 46 | 5.3 | odd | 4 | |||
6025.2.a.p.1.43 | 46 | 5.2 | odd | 4 |