Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [414,3,Mod(35,414)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(414, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 20]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("414.35");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 414 = 2 \cdot 3^{2} \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 414.k (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(11.2806829445\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 179.2 | ||
Character | \(\chi\) | \(=\) | 414.179 |
Dual form | 414.3.k.b.377.2 |
$q$-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 \(\left(\mathbb{Z}/414\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(235\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{6}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.398430 | + | 1.35693i | −0.199215 | + | 0.678464i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.68251 | − | 1.08128i | −0.420627 | − | 0.270320i | ||||
\(5\) | 0.248013 | + | 0.0356589i | 0.0496027 | + | 0.00713179i | 0.167071 | − | 0.985945i | \(-0.446569\pi\) |
−0.117469 | + | 0.993077i | \(0.537478\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.43143 | − | 5.32409i | −0.347347 | − | 0.760585i | −0.999996 | − | 0.00292371i | \(-0.999069\pi\) |
0.652648 | − | 0.757661i | \(-0.273658\pi\) | |||||||
\(8\) | 2.13758 | − | 1.85223i | 0.267198 | − | 0.231528i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.147203 | + | 0.322329i | −0.0147203 | + | 0.0322329i | ||||
\(11\) | 3.31490 | + | 11.2895i | 0.301354 | + | 1.02632i | 0.961414 | + | 0.275106i | \(0.0887129\pi\) |
−0.660059 | + | 0.751213i | \(0.729469\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.93599 | + | 6.42891i | −0.225845 | + | 0.494532i | −0.988302 | − | 0.152507i | \(-0.951265\pi\) |
0.762457 | + | 0.647039i | \(0.223993\pi\) | |||||||
\(14\) | 8.19317 | − | 1.17800i | 0.585226 | − | 0.0841428i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.66166 | + | 3.63853i | 0.103854 | + | 0.227408i | ||||
\(17\) | −14.1185 | − | 21.9688i | −0.830498 | − | 1.29228i | −0.953961 | − | 0.299931i | \(-0.903036\pi\) |
0.123463 | − | 0.992349i | \(-0.460600\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −23.8489 | − | 15.3268i | −1.25521 | − | 0.806671i | −0.267585 | − | 0.963534i | \(-0.586226\pi\) |
−0.987620 | + | 0.156863i | \(0.949862\pi\) | |||||||
\(20\) | −0.378727 | − | 0.328169i | −0.0189363 | − | 0.0164084i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −16.6398 | −0.756355 | ||||||||
\(23\) | 22.4715 | − | 4.90223i | 0.977022 | − | 0.213141i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −23.9271 | − | 7.02563i | −0.957083 | − | 0.281025i | ||||
\(26\) | −7.55379 | − | 6.54539i | −0.290530 | − | 0.251746i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.66594 | + | 11.5869i | −0.0594980 | + | 0.413817i | ||||
\(29\) | −10.1321 | − | 15.7658i | −0.349382 | − | 0.543649i | 0.621436 | − | 0.783465i | \(-0.286549\pi\) |
−0.970819 | + | 0.239815i | \(0.922913\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −30.8842 | − | 35.6423i | −0.996265 | − | 1.14975i | −0.988719 | − | 0.149780i | \(-0.952144\pi\) |
−0.00754580 | − | 0.999972i | \(-0.502402\pi\) | |||||||
\(32\) | −5.59928 | + | 0.805054i | −0.174977 | + | 0.0251579i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 35.4352 | − | 10.4047i | 1.04221 | − | 0.306021i | ||||
\(35\) | −0.413176 | − | 1.40715i | −0.0118050 | − | 0.0402042i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.393342 | − | 2.73575i | −0.0106309 | − | 0.0739393i | 0.983815 | − | 0.179185i | \(-0.0573461\pi\) |
−0.994446 | + | 0.105246i | \(0.966437\pi\) | |||||||
\(38\) | 30.2994 | − | 26.2546i | 0.797353 | − | 0.690910i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.596198 | − | 0.383153i | 0.0149049 | − | 0.00957882i | ||||
\(41\) | 69.6368 | + | 10.0123i | 1.69846 | + | 0.244202i | 0.922338 | − | 0.386383i | \(-0.126276\pi\) |
0.776121 | + | 0.630585i | \(0.217185\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −13.3344 | + | 15.3887i | −0.310102 | + | 0.357877i | −0.889312 | − | 0.457302i | \(-0.848816\pi\) |
0.579209 | + | 0.815179i | \(0.303361\pi\) | |||||||
\(44\) | 6.62980 | − | 22.5790i | 0.150677 | − | 0.513160i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.30134 | + | 32.4454i | −0.0500291 | + | 0.705335i | ||||
\(47\) | − | 35.9856i | − | 0.765651i | −0.923821 | − | 0.382825i | \(-0.874951\pi\) | ||
0.923821 | − | 0.382825i | \(-0.125049\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 9.65407 | − | 11.1414i | 0.197022 | − | 0.227375i | ||||
\(50\) | 19.0665 | − | 29.6681i | 0.381331 | − | 0.593362i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 11.8913 | − | 7.64206i | 0.228679 | − | 0.146963i | ||||
\(53\) | −35.7151 | + | 16.3106i | −0.673871 | + | 0.307746i | −0.722801 | − | 0.691056i | \(-0.757146\pi\) |
0.0489309 | + | 0.998802i | \(0.484419\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.419567 | + | 2.91816i | 0.00762850 | + | 0.0530574i | ||||
\(56\) | −15.0588 | − | 6.87713i | −0.268907 | − | 0.122806i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 25.4300 | − | 7.46693i | 0.438449 | − | 0.128740i | ||||
\(59\) | −77.7269 | − | 35.4967i | −1.31741 | − | 0.601639i | −0.372211 | − | 0.928148i | \(-0.621400\pi\) |
−0.945194 | + | 0.326509i | \(0.894128\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −45.3143 | − | 52.2955i | −0.742858 | − | 0.857304i | 0.250998 | − | 0.967988i | \(-0.419241\pi\) |
−0.993856 | + | 0.110684i | \(0.964696\pi\) | |||||||
\(62\) | 60.6692 | − | 27.7067i | 0.978536 | − | 0.446882i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.13852 | − | 7.91857i | 0.0177894 | − | 0.123728i | ||||
\(65\) | −0.957412 | + | 1.48976i | −0.0147294 | + | 0.0229194i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −47.8061 | − | 14.0372i | −0.713525 | − | 0.209510i | −0.0952290 | − | 0.995455i | \(-0.530358\pi\) |
−0.618296 | + | 0.785946i | \(0.712177\pi\) | |||||||
\(68\) | 52.2286i | 0.768068i | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 2.07402 | 0.0296289 | ||||||||
\(71\) | −15.6758 | + | 53.3870i | −0.220786 | + | 0.751929i | 0.772374 | + | 0.635168i | \(0.219069\pi\) |
−0.993160 | + | 0.116761i | \(0.962749\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 97.9254 | + | 62.9328i | 1.34144 | + | 0.862094i | 0.997052 | − | 0.0767321i | \(-0.0244486\pi\) |
0.344392 | + | 0.938826i | \(0.388085\pi\) | |||||||
\(74\) | 3.86894 | + | 0.556269i | 0.0522830 | + | 0.00751715i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 23.5534 | + | 51.5747i | 0.309913 | + | 0.678615i | ||||
\(77\) | 52.0465 | − | 45.0985i | 0.675928 | − | 0.585695i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 30.4262 | − | 66.6241i | 0.385142 | − | 0.843343i | −0.613421 | − | 0.789756i | \(-0.710207\pi\) |
0.998563 | − | 0.0535870i | \(-0.0170655\pi\) | |||||||
\(80\) | 0.282368 | + | 0.961657i | 0.00352960 | + | 0.0120207i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −41.3313 | + | 90.5030i | −0.504040 | + | 1.10369i | ||||
\(83\) | 16.3863 | − | 2.35600i | 0.197426 | − | 0.0283855i | −0.0428925 | − | 0.999080i | \(-0.513657\pi\) |
0.240318 | + | 0.970694i | \(0.422748\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.71819 | − | 5.95200i | −0.0319787 | − | 0.0700235i | ||||
\(86\) | −15.5686 | − | 24.2251i | −0.181030 | − | 0.281688i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 27.9966 | + | 17.9923i | 0.318143 | + | 0.204458i | ||||
\(89\) | 8.85582 | + | 7.67361i | 0.0995036 | + | 0.0862203i | 0.703192 | − | 0.711000i | \(-0.251757\pi\) |
−0.603688 | + | 0.797220i | \(0.706303\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 41.3668 | 0.454580 | ||||||||
\(92\) | −43.1091 | − | 16.0500i | −0.468578 | − | 0.174456i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 48.8299 | + | 14.3377i | 0.519467 | + | 0.152529i | ||||
\(95\) | −5.36831 | − | 4.65167i | −0.0565085 | − | 0.0489649i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 11.3739 | − | 79.1074i | 0.117257 | − | 0.815540i | −0.843297 | − | 0.537447i | \(-0.819389\pi\) |
0.960554 | − | 0.278093i | \(-0.0897022\pi\) | |||||||
\(98\) | 11.2716 | + | 17.5389i | 0.115016 | + | 0.178969i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 32.6608 | + | 37.6926i | 0.326608 | + | 0.376926i | ||||
\(101\) | 12.7182 | − | 1.82860i | 0.125923 | − | 0.0181049i | −0.0790653 | − | 0.996869i | \(-0.525194\pi\) |
0.204988 | + | 0.978764i | \(0.434284\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 64.1290 | − | 18.8300i | 0.622612 | − | 0.182815i | 0.0448141 | − | 0.998995i | \(-0.485730\pi\) |
0.577798 | + | 0.816180i | \(0.303912\pi\) | |||||||
\(104\) | 5.63189 | + | 19.1804i | 0.0541528 | + | 0.184427i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −7.90227 | − | 54.9615i | −0.0745497 | − | 0.518505i | ||||
\(107\) | −109.098 | + | 94.5340i | −1.01961 | + | 0.883495i | −0.993231 | − | 0.116157i | \(-0.962942\pi\) |
−0.0263768 | + | 0.999652i | \(0.508397\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −134.216 | + | 86.2553i | −1.23134 | + | 0.791333i | −0.984099 | − | 0.177622i | \(-0.943160\pi\) |
−0.247239 | + | 0.968954i | \(0.579523\pi\) | |||||||
\(110\) | −4.12690 | − | 0.593358i | −0.0375172 | − | 0.00539416i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 15.3316 | − | 17.6937i | 0.136890 | − | 0.157979i | ||||
\(113\) | −41.8294 | + | 142.458i | −0.370172 | + | 1.26069i | 0.538303 | + | 0.842751i | \(0.319066\pi\) |
−0.908475 | + | 0.417939i | \(0.862753\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 5.74804 | − | 0.414510i | 0.0499830 | − | 0.00360444i | ||||
\(116\) | 37.4818i | 0.323119i | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 79.1352 | − | 91.3269i | 0.670637 | − | 0.773956i | ||||
\(119\) | −82.6356 | + | 128.584i | −0.694417 | + | 1.08053i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −14.6728 | + | 9.42965i | −0.121263 | + | 0.0779310i | ||||
\(122\) | 89.0158 | − | 40.6522i | 0.729638 | − | 0.333215i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 13.4236 | + | 93.3629i | 0.108255 | + | 0.752927i | ||||
\(125\) | −11.3817 | − | 5.19786i | −0.0910539 | − | 0.0415829i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −94.9042 | + | 27.8664i | −0.747277 | + | 0.219420i | −0.633132 | − | 0.774044i | \(-0.718231\pi\) |
−0.114145 | + | 0.993464i | \(0.536413\pi\) | |||||||
\(128\) | 10.2913 | + | 4.69988i | 0.0804009 | + | 0.0367178i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −1.64004 | − | 1.89271i | −0.0126157 | − | 0.0145593i | ||||
\(131\) | −23.3810 | + | 10.6777i | −0.178481 | + | 0.0815094i | −0.502651 | − | 0.864489i | \(-0.667642\pi\) |
0.324171 | + | 0.945999i | \(0.394915\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −23.6141 | + | 164.240i | −0.177550 | + | 1.23488i | ||||
\(134\) | 38.0948 | − | 59.2767i | 0.284290 | − | 0.442363i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −70.8705 | − | 20.8094i | −0.521106 | − | 0.153011i | ||||
\(137\) | 134.738i | 0.983488i | 0.870740 | + | 0.491744i | \(0.163640\pi\) | ||||
−0.870740 | + | 0.491744i | \(0.836360\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −30.5470 | −0.219763 | −0.109881 | − | 0.993945i | \(-0.535047\pi\) | ||||
−0.109881 | + | 0.993945i | \(0.535047\pi\) | |||||||
\(140\) | −0.826352 | + | 2.81430i | −0.00590252 | + | 0.0201021i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −66.1966 | − | 42.5420i | −0.466173 | − | 0.299591i | ||||
\(143\) | −82.3118 | − | 11.8346i | −0.575607 | − | 0.0827598i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −1.95070 | − | 4.27144i | −0.0134531 | − | 0.0294582i | ||||
\(146\) | −124.412 | + | 107.803i | −0.852135 | + | 0.738379i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −2.29632 | + | 5.02824i | −0.0155157 | + | 0.0339746i | ||||
\(149\) | −2.11936 | − | 7.21787i | −0.0142239 | − | 0.0484421i | 0.952075 | − | 0.305864i | \(-0.0989452\pi\) |
−0.966299 | + | 0.257422i | \(0.917127\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 108.240 | − | 237.012i | 0.716820 | − | 1.56962i | −0.101489 | − | 0.994837i | \(-0.532361\pi\) |
0.818308 | − | 0.574779i | \(-0.194912\pi\) | |||||||
\(152\) | −79.3676 | + | 11.4113i | −0.522155 | + | 0.0750746i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 40.4586 | + | 88.5919i | 0.262718 | + | 0.575272i | ||||
\(155\) | −6.38873 | − | 9.94106i | −0.0412176 | − | 0.0641359i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 186.486 | + | 119.847i | 1.18781 | + | 0.763359i | 0.976806 | − | 0.214126i | \(-0.0686902\pi\) |
0.211004 | + | 0.977485i | \(0.432327\pi\) | |||||||
\(158\) | 78.2814 | + | 67.8312i | 0.495452 | + | 0.429311i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.41740 | −0.00885877 | ||||||||
\(161\) | −80.7379 | − | 107.721i | −0.501477 | − | 0.669074i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −200.588 | − | 58.8981i | −1.23060 | − | 0.361338i | −0.399126 | − | 0.916896i | \(-0.630687\pi\) |
−0.831478 | + | 0.555558i | \(0.812505\pi\) | |||||||
\(164\) | −106.338 | − | 92.1427i | −0.648405 | − | 0.561846i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −3.33189 | + | 23.1738i | −0.0200716 | + | 0.139601i | ||||
\(167\) | 40.9069 | + | 63.6523i | 0.244951 | + | 0.381152i | 0.941859 | − | 0.336010i | \(-0.109077\pi\) |
−0.696907 | + | 0.717161i | \(0.745441\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 77.9606 | + | 89.9713i | 0.461305 | + | 0.532374i | ||||
\(170\) | 9.15944 | − | 1.31693i | 0.0538790 | − | 0.00774664i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 39.0747 | − | 11.4734i | 0.227179 | − | 0.0667057i | ||||
\(173\) | 79.2785 | + | 269.998i | 0.458257 | + | 1.56068i | 0.787425 | + | 0.616410i | \(0.211414\pi\) |
−0.329168 | + | 0.944271i | \(0.606768\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 20.7720 | + | 144.472i | 0.118697 | + | 0.825556i | ||||
\(176\) | −35.5690 | + | 30.8207i | −0.202096 | + | 0.175118i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −13.9410 | + | 8.95931i | −0.0783200 | + | 0.0503332i | ||||
\(179\) | −8.47810 | − | 1.21897i | −0.0473637 | − | 0.00680987i | 0.118592 | − | 0.992943i | \(-0.462162\pi\) |
−0.165956 | + | 0.986133i | \(0.553071\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −42.1570 | + | 48.6518i | −0.232912 | + | 0.268794i | −0.860159 | − | 0.510026i | \(-0.829636\pi\) |
0.627248 | + | 0.778820i | \(0.284181\pi\) | |||||||
\(182\) | −16.4818 | + | 56.1317i | −0.0905592 | + | 0.308416i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 38.9546 | − | 52.1012i | 0.211710 | − | 0.283159i | ||||
\(185\) | − | 0.692530i | − | 0.00374340i | ||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 201.215 | − | 232.215i | 1.07602 | − | 1.24179i | ||||
\(188\) | −38.9106 | + | 60.5460i | −0.206971 | + | 0.322053i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 8.45087 | − | 5.43105i | 0.0444783 | − | 0.0285845i | ||||
\(191\) | 178.551 | − | 81.5415i | 0.934822 | − | 0.426919i | 0.111034 | − | 0.993817i | \(-0.464584\pi\) |
0.823788 | + | 0.566898i | \(0.191857\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −19.3219 | − | 134.387i | −0.100114 | − | 0.696305i | −0.976629 | − | 0.214932i | \(-0.931047\pi\) |
0.876516 | − | 0.481374i | \(-0.159862\pi\) | |||||||
\(194\) | 102.811 | + | 46.9523i | 0.529955 | + | 0.242022i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −28.2900 | + | 8.30670i | −0.144337 | + | 0.0423811i | ||||
\(197\) | 6.76341 | + | 3.08875i | 0.0343320 | + | 0.0156789i | 0.432507 | − | 0.901631i | \(-0.357629\pi\) |
−0.398175 | + | 0.917309i | \(0.630356\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 189.487 | + | 218.680i | 0.952196 | + | 1.09889i | 0.995007 | + | 0.0998096i | \(0.0318234\pi\) |
−0.0428105 | + | 0.999083i | \(0.513631\pi\) | |||||||
\(200\) | −64.1592 | + | 29.3005i | −0.320796 | + | 0.146503i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −2.58603 | + | 17.9862i | −0.0128021 | + | 0.0890408i | ||||
\(203\) | −59.3033 | + | 92.2777i | −0.292134 | + | 0.454570i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 16.9138 | + | 4.96635i | 0.0825065 | + | 0.0242261i | ||||
\(206\) | 94.5209i | 0.458839i | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −28.2704 | −0.135915 | ||||||||
\(209\) | 93.9749 | − | 320.049i | 0.449641 | − | 1.53134i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −55.5348 | − | 35.6901i | −0.263198 | − | 0.169147i | 0.402386 | − | 0.915470i | \(-0.368181\pi\) |
−0.665584 | + | 0.746323i | \(0.731817\pi\) | |||||||
\(212\) | 77.7273 | + | 11.1755i | 0.366638 | + | 0.0527146i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −84.8079 | − | 185.703i | −0.396298 | − | 0.867773i | ||||
\(215\) | −3.85585 | + | 3.34112i | −0.0179342 | + | 0.0155401i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −114.670 | + | 251.092i | −0.528433 | + | 1.15711i | ||||
\(218\) | −63.5666 | − | 216.488i | −0.291590 | − | 0.993064i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 2.44942 | − | 5.36349i | 0.0111337 | − | 0.0243795i | ||||
\(221\) | 182.687 | − | 26.2664i | 0.826637 | − | 0.118853i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −40.0789 | − | 87.7605i | −0.179726 | − | 0.393545i | 0.798231 | − | 0.602351i | \(-0.205769\pi\) |
−0.977957 | + | 0.208807i | \(0.933042\pi\) | |||||||
\(224\) | 17.9004 | + | 27.8536i | 0.0799127 | + | 0.124347i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −176.639 | − | 113.519i | −0.781589 | − | 0.502297i | ||||
\(227\) | −232.691 | − | 201.628i | −1.02507 | − | 0.888228i | −0.0312812 | − | 0.999511i | \(-0.509959\pi\) |
−0.993789 | + | 0.111282i | \(0.964504\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 144.063 | 0.629094 | 0.314547 | − | 0.949242i | \(-0.398147\pi\) | ||||
0.314547 | + | 0.949242i | \(0.398147\pi\) | |||||||
\(230\) | −1.72773 | + | 7.96483i | −0.00751188 | + | 0.0346297i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −50.8601 | − | 14.9339i | −0.219224 | − | 0.0643701i | ||||
\(233\) | −127.024 | − | 110.067i | −0.545166 | − | 0.472389i | 0.338199 | − | 0.941075i | \(-0.390182\pi\) |
−0.883365 | + | 0.468686i | \(0.844728\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.28321 | − | 8.92491i | 0.00546046 | − | 0.0379783i | ||||
\(236\) | 92.3941 | + | 143.768i | 0.391501 | + | 0.609187i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −141.554 | − | 163.362i | −0.594765 | − | 0.686395i | ||||
\(239\) | 365.030 | − | 52.4834i | 1.52732 | − | 0.219596i | 0.673119 | − | 0.739535i | \(-0.264954\pi\) |
0.854203 | + | 0.519939i | \(0.174045\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 102.771 | − | 30.1762i | 0.426435 | − | 0.125213i | −0.0614709 | − | 0.998109i | \(-0.519579\pi\) |
0.487906 | + | 0.872896i | \(0.337761\pi\) | |||||||
\(242\) | −6.94926 | − | 23.6670i | −0.0287160 | − | 0.0977976i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 19.6955 | + | 136.985i | 0.0807192 | + | 0.561414i | ||||
\(245\) | 2.79163 | − | 2.41896i | 0.0113944 | − | 0.00987331i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 168.554 | − | 108.323i | 0.682407 | − | 0.438556i | ||||
\(248\) | −132.035 | − | 18.9838i | −0.532400 | − | 0.0765475i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 11.5879 | − | 13.3732i | 0.0463518 | − | 0.0534928i | ||||
\(251\) | 28.1843 | − | 95.9868i | 0.112288 | − | 0.382418i | −0.884104 | − | 0.467290i | \(-0.845230\pi\) |
0.996392 | + | 0.0848728i | \(0.0270484\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 129.835 | + | 237.442i | 0.513180 | + | 0.938505i | ||||
\(254\) | − | 139.881i | − | 0.550712i | ||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −10.4778 | + | 12.0920i | −0.0409288 | + | 0.0472343i | ||||
\(257\) | 212.331 | − | 330.394i | 0.826191 | − | 1.28558i | −0.129610 | − | 0.991565i | \(-0.541373\pi\) |
0.955801 | − | 0.294013i | \(-0.0949910\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −13.6090 | + | 8.74599i | −0.0525445 | + | 0.0337683i | ||||
\(260\) | 3.22171 | − | 1.47130i | 0.0123912 | − | 0.00565886i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −5.17323 | − | 35.9806i | −0.0197452 | − | 0.137331i | ||||
\(263\) | −276.276 | − | 126.171i | −1.05048 | − | 0.479738i | −0.186075 | − | 0.982536i | \(-0.559577\pi\) |
−0.864404 | + | 0.502798i | \(0.832304\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −9.43945 | + | 2.77167i | −0.0356206 | + | 0.0104591i | ||||
\(266\) | −213.453 | − | 97.4807i | −0.802454 | − | 0.366469i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 65.2561 | + | 75.3095i | 0.243493 | + | 0.281006i | ||||
\(269\) | 375.195 | − | 171.346i | 1.39478 | − | 0.636973i | 0.430675 | − | 0.902507i | \(-0.358276\pi\) |
0.964101 | + | 0.265535i | \(0.0855484\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −56.9913 | + | 396.383i | −0.210300 | + | 1.46267i | 0.561856 | + | 0.827235i | \(0.310087\pi\) |
−0.772156 | + | 0.635433i | \(0.780822\pi\) | |||||||
\(272\) | 56.4738 | − | 87.8750i | 0.207624 | − | 0.323070i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −182.830 | − | 53.6836i | −0.667261 | − | 0.195926i | ||||
\(275\) | − | 293.414i | − | 1.06696i | ||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −181.276 | −0.654428 | −0.327214 | − | 0.944950i | \(-0.606110\pi\) | ||||
−0.327214 | + | 0.944950i | \(0.606110\pi\) | |||||||
\(278\) | 12.1708 | − | 41.4501i | 0.0437800 | − | 0.149101i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −3.48956 | − | 2.24260i | −0.0124627 | − | 0.00800929i | ||||
\(281\) | 201.616 | + | 28.9881i | 0.717496 | + | 0.103160i | 0.491387 | − | 0.870942i | \(-0.336490\pi\) |
0.226109 | + | 0.974102i | \(0.427399\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −228.944 | − | 501.318i | −0.808991 | − | 1.77144i | −0.611686 | − | 0.791101i | \(-0.709508\pi\) |
−0.197305 | − | 0.980342i | \(-0.563219\pi\) | |||||||
\(284\) | 84.1011 | − | 72.8740i | 0.296131 | − | 0.256599i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 48.8543 | − | 106.976i | 0.170819 | − | 0.374042i | ||||
\(287\) | −116.011 | − | 395.097i | −0.404219 | − | 1.37664i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −163.240 | + | 357.446i | −0.564845 | + | 1.23684i | ||||
\(290\) | 6.57325 | − | 0.945091i | 0.0226664 | − | 0.00325893i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −96.7121 | − | 211.770i | −0.331206 | − | 0.725239i | ||||
\(293\) | −27.7678 | − | 43.2075i | −0.0947706 | − | 0.147466i | 0.790631 | − | 0.612293i | \(-0.209753\pi\) |
−0.885401 | + | 0.464827i | \(0.846116\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −18.0115 | − | 11.5753i | −0.0610561 | − | 0.0392383i | ||||
\(296\) | −5.90803 | − | 5.11934i | −0.0199596 | − | 0.0172951i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 10.6385 | 0.0356998 | ||||||||
\(299\) | −34.4600 | + | 158.860i | −0.115251 | + | 0.531305i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 114.353 | + | 33.5770i | 0.379909 | + | 0.111551i | ||||
\(302\) | 278.482 | + | 241.306i | 0.922127 | + | 0.799027i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 16.1381 | − | 112.243i | 0.0530858 | − | 0.369220i | ||||
\(305\) | −9.37376 | − | 14.5859i | −0.0307336 | − | 0.0478225i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −339.325 | − | 391.602i | −1.10529 | − | 1.27558i | −0.958089 | − | 0.286472i | \(-0.907517\pi\) |
−0.147206 | − | 0.989106i | \(-0.547028\pi\) | |||||||
\(308\) | −136.333 | + | 19.6017i | −0.442639 | + | 0.0636418i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 16.0348 | − | 4.70823i | 0.0517251 | − | 0.0151879i | ||||
\(311\) | 27.0949 | + | 92.2766i | 0.0871217 | + | 0.296709i | 0.991515 | − | 0.129990i | \(-0.0414945\pi\) |
−0.904394 | + | 0.426699i | \(0.859676\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −2.33464 | − | 16.2378i | −0.00745891 | − | 0.0518778i | 0.985752 | − | 0.168205i | \(-0.0537970\pi\) |
−0.993211 | + | 0.116327i | \(0.962888\pi\) | |||||||
\(314\) | −236.926 | + | 205.298i | −0.754542 | + | 0.653814i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −123.232 | + | 79.1962i | −0.389974 | + | 0.250621i | ||||
\(317\) | 420.225 | + | 60.4192i | 1.32563 | + | 0.190597i | 0.768511 | − | 0.639836i | \(-0.220998\pi\) |
0.557119 | + | 0.830433i | \(0.311907\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 144.402 | − | 166.648i | 0.452670 | − | 0.522409i | ||||
\(320\) | 0.564736 | − | 1.92331i | 0.00176480 | − | 0.00601035i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 178.338 | − | 66.6362i | 0.553844 | − | 0.206945i | ||||
\(323\) | 740.321i | 2.29201i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 115.417 | − | 133.198i | 0.355128 | − | 0.409840i | ||||
\(326\) | 159.841 | − | 248.717i | 0.490310 | − | 0.762937i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 167.399 | − | 107.581i | 0.510364 | − | 0.327991i | ||||
\(329\) | −191.591 | + | 87.4965i | −0.582342 | + | 0.265947i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 7.74573 | + | 53.8728i | 0.0234010 | + | 0.162758i | 0.998171 | − | 0.0604543i | \(-0.0192549\pi\) |
−0.974770 | + | 0.223212i | \(0.928346\pi\) | |||||||
\(332\) | −30.1176 | − | 13.7543i | −0.0907157 | − | 0.0414285i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −102.670 | + | 30.1467i | −0.307396 | + | 0.0902595i | ||||
\(335\) | −11.3560 | − | 5.18612i | −0.0338986 | − | 0.0154810i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 6.56118 | + | 7.57200i | 0.0194694 | + | 0.0224688i | 0.765401 | − | 0.643554i | \(-0.222541\pi\) |
−0.745931 | + | 0.666023i | \(0.767995\pi\) | |||||||
\(338\) | −153.146 | + | 69.9396i | −0.453096 | + | 0.206922i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −1.86242 | + | 12.9534i | −0.00547770 | + | 0.0380982i | ||||
\(341\) | 300.006 | − | 466.818i | 0.879783 | − | 1.36897i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −357.972 | − | 105.110i | −1.04365 | − | 0.306443i | ||||
\(344\) | 57.5930i | 0.167421i | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −397.955 | −1.15016 | ||||||||
\(347\) | 61.5995 | − | 209.789i | 0.177520 | − | 0.604579i | −0.821870 | − | 0.569675i | \(-0.807069\pi\) |
0.999391 | − | 0.0349041i | \(-0.0111126\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 364.372 | + | 234.168i | 1.04405 | + | 0.670968i | 0.945984 | − | 0.324212i | \(-0.105099\pi\) |
0.0980623 | + | 0.995180i | \(0.468736\pi\) | |||||||
\(350\) | −204.315 | − | 29.3760i | −0.583756 | − | 0.0839315i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −27.6497 | − | 60.5444i | −0.0785503 | − | 0.172001i | ||||
\(353\) | 68.6870 | − | 59.5176i | 0.194581 | − | 0.168605i | −0.552121 | − | 0.833764i | \(-0.686182\pi\) |
0.746702 | + | 0.665159i | \(0.231636\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −5.79154 | + | 12.6817i | −0.0163142 | + | 0.0357231i | ||||
\(356\) | −6.60264 | − | 22.4865i | −0.0185467 | − | 0.0631644i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 5.03198 | − | 11.0185i | 0.0140558 | − | 0.0307779i | ||||
\(359\) | −158.132 | + | 22.7359i | −0.440479 | + | 0.0633313i | −0.358987 | − | 0.933343i | \(-0.616878\pi\) |
−0.0814922 | + | 0.996674i | \(0.525969\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 183.896 | + | 402.675i | 0.509406 | + | 1.11544i | ||||
\(362\) | −49.2203 | − | 76.5883i | −0.135968 | − | 0.211570i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −69.5999 | − | 44.7291i | −0.191209 | − | 0.122882i | ||||
\(365\) | 22.0427 | + | 19.1001i | 0.0603909 | + | 0.0523291i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −459.664 | −1.25249 | −0.626245 | − | 0.779627i | \(-0.715409\pi\) | ||||
−0.626245 | + | 0.779627i | \(0.715409\pi\) | |||||||
\(368\) | 55.1769 | + | 73.6173i | 0.149937 | + | 0.200047i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.939713 | + | 0.275925i | 0.00253976 | + | 0.000745742i | ||||
\(371\) | 173.678 | + | 150.493i | 0.468134 | + | 0.405641i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −96.2313 | + | 669.303i | −0.257993 | + | 1.79438i | 0.289091 | + | 0.957302i | \(0.406647\pi\) |
−0.547084 | + | 0.837078i | \(0.684262\pi\) | |||||||
\(374\) | 234.929 | + | 365.556i | 0.628151 | + | 0.977422i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −66.6534 | − | 76.9222i | −0.177270 | − | 0.204580i | ||||
\(377\) | 131.105 | − | 18.8500i | 0.347758 | − | 0.0500001i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 603.001 | − | 177.057i | 1.59103 | − | 0.467169i | 0.637999 | − | 0.770038i | \(-0.279763\pi\) |
0.953032 | + | 0.302869i | \(0.0979444\pi\) | |||||||
\(380\) | 4.00246 | + | 13.6311i | 0.0105328 | + | 0.0358714i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 39.5059 | + | 274.769i | 0.103419 | + | 0.719292i | ||||
\(383\) | −407.510 | + | 353.109i | −1.06399 | + | 0.921956i | −0.997123 | − | 0.0758058i | \(-0.975847\pi\) |
−0.0668712 | + | 0.997762i | \(0.521302\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 14.5164 | − | 9.32911i | 0.0377049 | − | 0.0242315i | ||||
\(386\) | 190.052 | + | 27.3253i | 0.492362 | + | 0.0707910i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −104.674 | + | 120.800i | −0.269778 | + | 0.311341i | ||||
\(389\) | 21.6957 | − | 73.8886i | 0.0557729 | − | 0.189945i | −0.926895 | − | 0.375322i | \(-0.877532\pi\) |
0.982668 | + | 0.185377i | \(0.0593505\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −424.959 | − | 424.459i | −1.08685 | − | 1.08557i | ||||
\(392\) | − | 41.6972i | − | 0.106370i | ||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −6.88595 | + | 7.94682i | −0.0174770 | + | 0.0201696i | ||||
\(395\) | 9.92185 | − | 15.4387i | 0.0251186 | − | 0.0390853i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −305.603 | + | 196.399i | −0.769781 | + | 0.494708i | −0.865628 | − | 0.500688i | \(-0.833080\pi\) |
0.0958468 | + | 0.995396i | \(0.469444\pi\) | |||||||
\(398\) | −372.230 | + | 169.992i | −0.935251 | + | 0.427115i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −14.1957 | − | 98.7336i | −0.0354894 | − | 0.246834i | ||||
\(401\) | −451.483 | − | 206.185i | −1.12589 | − | 0.514178i | −0.236641 | − | 0.971597i | \(-0.576047\pi\) |
−0.889251 | + | 0.457419i | \(0.848774\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 319.817 | − | 93.9067i | 0.793590 | − | 0.233019i | ||||
\(404\) | −23.3757 | − | 10.6753i | −0.0578606 | − | 0.0264240i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −101.586 | − | 117.237i | −0.250212 | − | 0.288760i | ||||
\(407\) | 29.5814 | − | 13.5094i | 0.0726816 | − | 0.0331926i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 104.579 | − | 727.360i | 0.255693 | − | 1.77839i | −0.306989 | − | 0.951713i | \(-0.599321\pi\) |
0.562682 | − | 0.826673i | \(-0.309770\pi\) | |||||||
\(410\) | −13.4780 | + | 20.9721i | −0.0328731 | + | 0.0511515i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −128.258 | − | 37.6600i | −0.311306 | − | 0.0914077i | ||||
\(413\) | 500.133i | 1.21098i | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 4.14804 | 0.00999528 | ||||||||
\(416\) | 11.2638 | − | 38.3609i | 0.0270764 | − | 0.0922137i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 396.841 | + | 255.034i | 0.949381 | + | 0.610130i | ||||
\(419\) | −322.760 | − | 46.4058i | −0.770309 | − | 0.110754i | −0.254056 | − | 0.967190i | \(-0.581765\pi\) |
−0.516254 | + | 0.856436i | \(0.672674\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −286.687 | − | 627.756i | −0.680966 | − | 1.49111i | −0.861616 | − | 0.507560i | \(-0.830548\pi\) |
0.180651 | − | 0.983547i | \(-0.442180\pi\) | |||||||
\(422\) | 70.5556 | − | 61.1368i | 0.167193 | − | 0.144874i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −46.1332 | + | 101.018i | −0.108805 | + | 0.238249i | ||||
\(425\) | 183.469 | + | 624.839i | 0.431693 | + | 1.47021i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −168.248 | + | 368.411i | −0.394022 | + | 0.862788i | ||||
\(428\) | 285.776 | − | 41.0884i | 0.667701 | − | 0.0960009i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −2.99737 | − | 6.56332i | −0.00697062 | − | 0.0152635i | ||||
\(431\) | −404.454 | − | 629.343i | −0.938409 | − | 1.46019i | −0.887136 | − | 0.461508i | \(-0.847309\pi\) |
−0.0512725 | − | 0.998685i | \(-0.516328\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 116.184 | + | 74.6671i | 0.268324 | + | 0.172441i | 0.667883 | − | 0.744266i | \(-0.267201\pi\) |
−0.399559 | + | 0.916707i | \(0.630837\pi\) | |||||||
\(434\) | −295.026 | − | 255.642i | −0.679784 | − | 0.589036i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 319.085 | 0.731847 | ||||||||
\(437\) | −611.056 | − | 227.502i | −1.39830 | − | 0.520600i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 109.115 | + | 32.0391i | 0.248554 | + | 0.0729819i | 0.403636 | − | 0.914920i | \(-0.367746\pi\) |
−0.155083 | + | 0.987902i | \(0.549564\pi\) | |||||||
\(440\) | 6.30194 | + | 5.46067i | 0.0143226 | + | 0.0124106i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −37.1463 | + | 258.358i | −0.0840414 | + | 0.584521i | ||||
\(443\) | 255.608 | + | 397.734i | 0.576994 | + | 0.897820i | 0.999965 | − | 0.00832306i | \(-0.00264934\pi\) |
−0.422972 | + | 0.906143i | \(0.639013\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 1.92273 | + | 2.21895i | 0.00432074 | + | 0.00498640i | ||||
\(446\) | 135.053 | − | 19.4177i | 0.302810 | − | 0.0435375i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −44.9274 | + | 13.1919i | −0.100284 | + | 0.0294462i | ||||
\(449\) | 160.811 | + | 547.671i | 0.358153 | + | 1.21976i | 0.919802 | + | 0.392382i | \(0.128349\pi\) |
−0.561649 | + | 0.827376i | \(0.689833\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 117.805 | + | 819.355i | 0.261210 | + | 1.81675i | ||||
\(452\) | 224.416 | − | 194.457i | 0.496495 | − | 0.430215i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 366.305 | − | 235.410i | 0.806840 | − | 0.518525i | ||||
\(455\) | 10.2595 | + | 1.47510i | 0.0225484 | + | 0.00324197i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 243.799 | − | 281.359i | 0.533476 | − | 0.615665i | −0.423477 | − | 0.905907i | \(-0.639190\pi\) |
0.956953 | + | 0.290242i | \(0.0937359\pi\) | |||||||
\(458\) | −57.3989 | + | 195.483i | −0.125325 | + | 0.426818i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −10.1193 | − | 5.51783i | −0.0219985 | − | 0.0119953i | ||||
\(461\) | 345.649i | 0.749782i | 0.927069 | + | 0.374891i | \(0.122320\pi\) | ||||
−0.927069 | + | 0.374891i | \(0.877680\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 239.183 | − | 276.032i | 0.516594 | − | 0.596182i | −0.436181 | − | 0.899859i | \(-0.643669\pi\) |
0.952775 | + | 0.303678i | \(0.0982146\pi\) | |||||||
\(464\) | 40.5283 | − | 63.0633i | 0.0873456 | − | 0.135912i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 199.963 | − | 128.508i | 0.429104 | − | 0.275769i | ||||
\(467\) | −101.065 | + | 46.1549i | −0.216414 | + | 0.0988328i | −0.520672 | − | 0.853757i | \(-0.674319\pi\) |
0.304258 | + | 0.952590i | \(0.401591\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 41.5023 | + | 288.655i | 0.0884910 | + | 0.615469i | ||||
\(470\) | 11.5992 | + | 5.29717i | 0.0246791 | + | 0.0112706i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −231.896 | + | 68.0907i | −0.491304 | + | 0.144260i | ||||
\(473\) | −217.933 | − | 99.5268i | −0.460747 | − | 0.210416i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 462.955 | + | 534.278i | 0.974641 | + | 1.12480i | ||||
\(476\) | 278.070 | − | 126.990i | 0.584181 | − | 0.266786i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −74.2227 | + | 516.230i | −0.155278 | + | 1.07998i | ||||
\(479\) | −50.0209 | + | 77.8340i | −0.104428 | + | 0.162493i | −0.889535 | − | 0.456867i | \(-0.848971\pi\) |
0.785107 | + | 0.619360i | \(0.212608\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 18.7428 | + | 5.50337i | 0.0389663 | + | 0.0114415i | ||||
\(482\) | 151.476i | 0.314265i | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 34.8832 | 0.0720728 | ||||||||
\(485\) | 5.64177 | − | 19.2141i | 0.0116325 | − | 0.0396167i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 84.9796 | + | 54.6131i | 0.174496 | + | 0.112142i | 0.624973 | − | 0.780646i | \(-0.285110\pi\) |
−0.450477 | + | 0.892788i | \(0.648746\pi\) | |||||||
\(488\) | −193.726 | − | 27.8536i | −0.396980 | − | 0.0570771i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 2.17009 | + | 4.75183i | 0.00442875 | + | 0.00969761i | ||||
\(491\) | 182.534 | − | 158.167i | 0.371760 | − | 0.322132i | −0.448864 | − | 0.893600i | \(-0.648171\pi\) |
0.820624 | + | 0.571468i | \(0.193626\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −203.306 | + | 445.179i | −0.412386 | + | 0.902999i | ||||
\(494\) | 79.8298 | + | 271.875i | 0.161599 | + | 0.550355i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 78.3664 | − | 171.598i | 0.157997 | − | 0.345965i | ||||
\(497\) | 322.352 | − | 46.3472i | 0.648596 | − | 0.0932540i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −116.394 | − | 254.868i | −0.233255 | − | 0.510758i | 0.756420 | − | 0.654086i | \(-0.226947\pi\) |
−0.989675 | + | 0.143329i | \(0.954219\pi\) | |||||||
\(500\) | 13.5295 | + | 21.0523i | 0.0270590 | + | 0.0421046i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 119.018 | + | 76.4881i | 0.237087 | + | 0.152367i | ||||
\(503\) | −57.4722 | − | 49.7999i | −0.114259 | − | 0.0990059i | 0.595858 | − | 0.803090i | \(-0.296812\pi\) |
−0.710116 | + | 0.704084i | \(0.751358\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 3.21949 | 0.00637522 | ||||||||
\(506\) | −373.921 | + | 81.5722i | −0.738975 | + | 0.161210i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 189.808 | + | 55.7328i | 0.373639 | + | 0.109710i | ||||
\(509\) | −154.516 | − | 133.889i | −0.303567 | − | 0.263043i | 0.489734 | − | 0.871872i | \(-0.337094\pi\) |
−0.793301 | + | 0.608829i | \(0.791639\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 96.9613 | − | 674.381i | 0.189748 | − | 1.31973i | ||||
\(512\) | −12.2333 | − | 19.0354i | −0.0238932 | − | 0.0371785i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 363.721 | + | 419.757i | 0.707629 | + | 0.816647i | ||||
\(515\) | 16.5763 | − | 2.38331i | 0.0321870 | − | 0.00462779i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 406.260 | − | 119.289i | 0.785802 | − | 0.230732i | ||||
\(518\) | −6.44543 | − | 21.9511i | −0.0124429 | − | 0.0423767i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.712829 | + | 4.95783i | 0.00137082 | + | 0.00953430i | ||||
\(521\) | 20.9885 | − | 18.1866i | 0.0402850 | − | 0.0349072i | −0.634486 | − | 0.772935i | \(-0.718788\pi\) |
0.674771 | + | 0.738028i | \(0.264243\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 67.6338 | − | 43.4656i | 0.129319 | − | 0.0831083i | −0.474382 | − | 0.880319i | \(-0.657328\pi\) |
0.603701 | + | 0.797211i | \(0.293692\pi\) | |||||||
\(524\) | 50.8843 | + | 7.31605i | 0.0971074 | + | 0.0139619i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 281.282 | − | 324.616i | 0.534756 | − | 0.617141i | ||||
\(527\) | −346.979 | + | 1181.70i | −0.658404 | + | 2.24232i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 480.936 | − | 220.321i | 0.909142 | − | 0.416486i | ||||
\(530\) | − | 13.9130i | − | 0.0262509i | ||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 217.320 | − | 250.801i | 0.408497 | − | 0.471430i | ||||
\(533\) | −268.821 | + | 418.293i | −0.504354 | + | 0.784790i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −30.4288 | + | 19.5554i | −0.0568762 | + | 0.0365521i | ||||
\(536\) | −128.190 | + | 58.5422i | −0.239160 | + | 0.109221i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 83.0149 | + | 577.381i | 0.154303 | + | 1.07320i | ||||
\(539\) | 157.783 | + | 72.0572i | 0.292733 | + | 0.133687i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −808.277 | + | 237.332i | −1.49404 | + | 0.438690i | −0.923829 | − | 0.382806i | \(-0.874958\pi\) |
−0.570214 | + | 0.821496i | \(0.693140\pi\) | |||||||
\(542\) | −515.156 | − | 235.264i | −0.950472 | − | 0.434066i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 96.7392 | + | 111.643i | 0.177829 | + | 0.205226i | ||||
\(545\) | −36.3631 | + | 16.6065i | −0.0667213 | + | 0.0304706i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 46.3826 | − | 322.598i | 0.0847945 | − | 0.589759i | −0.902480 | − | 0.430732i | \(-0.858255\pi\) |
0.987274 | − | 0.159027i | \(-0.0508355\pi\) | |||||||
\(548\) | 145.690 | − | 226.697i | 0.265857 | − | 0.413682i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 398.142 | + | 116.905i | 0.723895 | + | 0.212555i | ||||
\(551\) | 531.290i | 0.964228i | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −428.692 | −0.775212 | ||||||||
\(554\) | 72.2260 | − | 245.979i | 0.130372 | − | 0.444006i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 51.3956 | + | 33.0299i | 0.0924381 | + | 0.0594064i | ||||
\(557\) | 682.683 | + | 98.1550i | 1.22564 | + | 0.176221i | 0.724580 | − | 0.689190i | \(-0.242034\pi\) |
0.501062 | + | 0.865411i | \(0.332943\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −59.7831 | − | 130.907i | −0.106947 | − | 0.234180i | ||||
\(560\) | 4.43339 | − | 3.84156i | 0.00791677 | − | 0.00685992i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −119.665 | + | 262.029i | −0.212926 | + | 0.466244i | ||||
\(563\) | −193.920 | − | 660.430i | −0.344440 | − | 1.17306i | −0.931570 | − | 0.363562i | \(-0.881560\pi\) |
0.587130 | − | 0.809493i | \(-0.300258\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −15.4542 | + | 33.8399i | −0.0273525 | + | 0.0598936i | ||||
\(566\) | 771.471 | − | 110.921i | 1.36302 | − | 0.195973i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 65.3764 | + | 143.154i | 0.115099 | + | 0.252032i | ||||
\(569\) | −341.617 | − | 531.567i | −0.600382 | − | 0.934212i | −0.999847 | − | 0.0174639i | \(-0.994441\pi\) |
0.399466 | − | 0.916748i | \(-0.369196\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 20.6197 | + | 13.2515i | 0.0361116 | + | 0.0232075i | 0.558572 | − | 0.829456i | \(-0.311349\pi\) |
−0.522460 | + | 0.852663i | \(0.674986\pi\) | |||||||
\(572\) | 125.694 | + | 108.914i | 0.219744 | + | 0.190409i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 582.340 | 1.01453 | ||||||||
\(575\) | −572.119 | − | 40.5801i | −0.994989 | − | 0.0705742i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −188.124 | − | 55.2381i | −0.326037 | − | 0.0957332i | 0.114618 | − | 0.993410i | \(-0.463436\pi\) |
−0.440655 | + | 0.897676i | \(0.645254\pi\) | |||||||
\(578\) | −419.989 | − | 363.923i | −0.726625 | − | 0.629624i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −1.33656 | + | 9.29598i | −0.00230441 | + | 0.0160276i | ||||
\(581\) | −52.3858 | − | 81.5139i | −0.0901649 | − | 0.140299i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −302.530 | − | 349.139i | −0.518920 | − | 0.598865i | ||||
\(584\) | 325.889 | − | 46.8558i | 0.558030 | − | 0.0802326i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 69.6930 | − | 20.4637i | 0.118930 | − | 0.0349210i | ||||
\(587\) | 32.4899 | + | 110.650i | 0.0553491 | + | 0.188502i | 0.982527 | − | 0.186119i | \(-0.0595911\pi\) |
−0.927178 | + | 0.374621i | \(0.877773\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 190.274 | + | 1323.38i | 0.323046 | + | 2.24683i | ||||
\(590\) | 22.8832 | − | 19.8284i | 0.0387851 | − | 0.0336075i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 9.30051 | − | 5.97708i | 0.0157103 | − | 0.0100964i | ||||
\(593\) | −523.582 | − | 75.2798i | −0.882938 | − | 0.126947i | −0.314093 | − | 0.949392i | \(-0.601700\pi\) |
−0.568845 | + | 0.822445i | \(0.692610\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −25.0799 | + | 28.9437i | −0.0421511 | + | 0.0486449i | ||||
\(596\) | −4.23871 | + | 14.4357i | −0.00711194 | + | 0.0242210i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −201.832 | − | 110.054i | −0.337512 | − | 0.184037i | ||||
\(599\) | − | 167.467i | − | 0.279578i | −0.990181 | − | 0.139789i | \(-0.955358\pi\) | ||
0.990181 | − | 0.139789i | \(-0.0446425\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 719.126 | − | 829.915i | 1.19655 | − | 1.38089i | 0.290959 | − | 0.956735i | \(-0.406026\pi\) |
0.905589 | − | 0.424156i | \(-0.139429\pi\) | |||||||
\(602\) | −91.1230 | + | 141.790i | −0.151367 | + | 0.235532i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −438.391 | + | 281.737i | −0.725813 | + | 0.466452i | ||||
\(605\) | −3.97531 | + | 1.81546i | −0.00657076 | + | 0.00300076i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 24.1168 | + | 167.736i | 0.0397312 | + | 0.276337i | 0.999996 | − | 0.00275321i | \(-0.000876375\pi\) |
−0.960265 | + | 0.279090i | \(0.909967\pi\) | |||||||
\(608\) | 145.875 | + | 66.6191i | 0.239927 | + | 0.109571i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 23.5267 | − | 6.90807i | 0.0385684 | − | 0.0113247i | ||||
\(611\) | 231.348 | + | 105.653i | 0.378639 | + | 0.172919i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −146.654 | − | 169.248i | −0.239240 | − | 0.276098i | 0.623414 | − | 0.781892i | \(-0.285745\pi\) |
−0.862654 | + | 0.505794i | \(0.831200\pi\) | |||||||
\(614\) | 666.574 | − | 304.414i | 1.08562 | − | 0.495788i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 27.7210 | − | 192.804i | 0.0450016 | − | 0.312993i | ||||
\(617\) | −572.084 | + | 890.180i | −0.927202 | + | 1.44276i | −0.0307942 | + | 0.999526i | \(0.509804\pi\) |
−0.896408 | + | 0.443229i | \(0.853833\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −715.915 | − | 210.211i | −1.15657 | − | 0.339598i | −0.353469 | − | 0.935446i | \(-0.614998\pi\) |
−0.803097 | + | 0.595848i | \(0.796816\pi\) | |||||||
\(620\) | 23.6339i | 0.0381192i | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −136.008 | −0.218663 | ||||||||
\(623\) | 19.3227 | − | 65.8071i | 0.0310156 | − | 0.105629i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 521.826 | + | 335.357i | 0.834921 | + | 0.536571i | ||||
\(626\) | 22.9637 | + | 3.30168i | 0.0366832 | + | 0.00527424i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −184.176 | − | 403.288i | −0.293273 | − | 0.642179i | ||||
\(629\) | −54.5477 | + | 47.2659i | −0.0867213 | + | 0.0751444i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 219.733 | − | 481.147i | 0.348229 | − | 0.762516i | −0.651762 | − | 0.758423i | \(-0.725970\pi\) |
0.999992 | − | 0.00409245i | \(-0.00130267\pi\) | |||||||
\(632\) | −58.3643 | − | 198.771i | −0.0923486 | − | 0.314511i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −249.415 | + | 546.142i | −0.393398 | + | 0.861422i | ||||
\(635\) | −24.5312 | + | 3.52705i | −0.0386318 | + | 0.00555442i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 43.2828 | + | 94.7762i | 0.0679479 | + | 0.148785i | ||||
\(638\) | 168.596 | + | 262.340i | 0.264257 | + | 0.411192i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 2.38479 | + | 1.53261i | 0.00372623 | + | 0.00239471i | ||||
\(641\) | 110.976 | + | 96.1616i | 0.173130 | + | 0.150018i | 0.737116 | − | 0.675766i | \(-0.236187\pi\) |
−0.563986 | + | 0.825785i | \(0.690733\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 877.046 | 1.36399 | 0.681995 | − | 0.731357i | \(-0.261113\pi\) | ||||
0.681995 | + | 0.731357i | \(0.261113\pi\) | |||||||
\(644\) | 19.3654 | + | 268.541i | 0.0300705 | + | 0.416990i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −1004.56 | − | 294.966i | −1.55505 | − | 0.456604i | ||||
\(647\) | −161.200 | − | 139.681i | −0.249150 | − | 0.215890i | 0.521328 | − | 0.853356i | \(-0.325437\pi\) |
−0.770478 | + | 0.637467i | \(0.779982\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 143.083 | − | 995.167i | 0.220467 | − | 1.53338i | ||||
\(650\) | 134.755 | + | 209.682i | 0.207315 | + | 0.322588i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 273.806 | + | 315.989i | 0.419948 | + | 0.484646i | ||||
\(653\) | 118.699 | − | 17.0663i | 0.181774 | − | 0.0261352i | −0.0508266 | − | 0.998707i | \(-0.516186\pi\) |
0.232601 | + | 0.972572i | \(0.425276\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −6.17955 | + | 1.81448i | −0.00943442 | + | 0.00277020i | ||||
\(656\) | 79.2828 | + | 270.012i | 0.120858 | + | 0.411604i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −42.3910 | − | 294.836i | −0.0644240 | − | 0.448079i | ||||
\(659\) | 818.482 | − | 709.219i | 1.24201 | − | 1.07620i | 0.247790 | − | 0.968814i | \(-0.420296\pi\) |
0.994217 | − | 0.107391i | \(-0.0342496\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −836.948 | + | 537.874i | −1.26618 | + | 0.813727i | −0.989118 | − | 0.147123i | \(-0.952999\pi\) |
−0.277067 | + | 0.960851i | \(0.589362\pi\) | |||||||
\(662\) | −76.1876 | − | 10.9541i | −0.115087 | − | 0.0165470i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 30.6633 | − | 35.3873i | 0.0461797 | − | 0.0532942i | ||||
\(665\) | −11.7132 | + | 39.8916i | −0.0176139 | + | 0.0599874i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −304.971 | − | 304.612i | −0.457228 | − | 0.456690i | ||||
\(668\) | − | 151.327i | − | 0.226538i | ||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 11.5618 | − | 13.3430i | 0.0172564 | − | 0.0199149i | ||||
\(671\) | 440.178 | − | 684.931i | 0.656004 | − | 1.02076i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −898.310 | + | 577.309i | −1.33478 | + | 0.857814i | −0.996529 | − | 0.0832407i | \(-0.973473\pi\) |
−0.338255 | + | 0.941055i | \(0.609837\pi\) | |||||||
\(674\) | −12.8888 | + | 5.88613i | −0.0191229 | + | 0.00873313i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −33.8849 | − | 235.675i | −0.0501256 | − | 0.348631i | ||||
\(677\) | 788.242 | + | 359.978i | 1.16432 | + | 0.531725i | 0.901355 | − | 0.433081i | \(-0.142574\pi\) |
0.262961 | + | 0.964806i | \(0.415301\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −448.830 | + | 131.788i | −0.661016 | + | 0.194092i | ||||
\(680\) | −16.8348 | − | 7.68819i | −0.0247570 | − | 0.0113062i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 513.908 | + | 593.081i | 0.753530 | + | 0.869620i | ||||
\(683\) | −289.641 | + | 132.275i | −0.424072 | + | 0.193667i | −0.616008 | − | 0.787740i | \(-0.711251\pi\) |
0.191935 | + | 0.981408i | \(0.438524\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −4.80461 | + | 33.4168i | −0.00701403 | + | 0.0487837i | ||||
\(686\) | 285.253 | − | 443.863i | 0.415821 | − | 0.647030i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −78.1495 | − | 22.9468i | −0.113589 | − | 0.0333528i | ||||
\(689\) | − | 277.497i | − | 0.402753i | ||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −1036.93 | −1.50062 | −0.750312 | − | 0.661084i | \(-0.770097\pi\) | ||||
−0.750312 | + | 0.661084i | \(0.770097\pi\) | |||||||
\(692\) | 158.557 | − | 539.996i | 0.229129 | − | 0.780341i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 260.125 | + | 167.172i | 0.374820 | + | 0.240882i | ||||
\(695\) | −7.57607 | − | 1.08927i | −0.0109008 | − | 0.00156730i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −763.208 | − | 1671.19i | −1.09499 | − | 2.39769i | ||||
\(698\) | −462.926 | + | 401.127i | −0.663217 | + | 0.574681i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 121.266 | − | 265.536i | 0.173238 | − | 0.379337i | ||||
\(701\) | −263.223 | − | 896.455i | −0.375496 | − | 1.27882i | −0.903136 | − | 0.429355i | \(-0.858741\pi\) |
0.527640 | − | 0.849468i | \(-0.323077\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −32.5494 | + | 71.2733i | −0.0463008 | + | 0.101385i | ||||
\(704\) | 93.1709 | − | 13.3959i | 0.132345 | − | 0.0190283i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 53.3942 | + | 116.917i | 0.0756291 | + | 0.165605i | ||||
\(707\) | −40.6590 | − | 63.2667i | −0.0575092 | − | 0.0894861i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −664.681 | − | 427.165i | −0.937491 | − | 0.602489i | −0.0198089 | − | 0.999804i | \(-0.506306\pi\) |
−0.917682 | + | 0.397315i | \(0.869942\pi\) | |||||||
\(710\) | −14.9006 | − | 12.9115i | −0.0209868 | − | 0.0181852i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 33.1433 | 0.0465496 | ||||||||
\(713\) | −868.741 | − | 649.534i | −1.21843 | − | 0.910987i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −19.9924 | − | 5.87030i | −0.0279614 | − | 0.00821021i | ||||
\(716\) | 12.9464 | + | 11.2181i | 0.0180816 | + | 0.0156678i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 32.1535 | − | 223.632i | 0.0447820 | − | 0.311466i | ||||
\(719\) | 528.349 | + | 822.127i | 0.734839 | + | 1.14343i | 0.984549 | + | 0.175111i | \(0.0560284\pi\) |
−0.249710 | + | 0.968321i | \(0.580335\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −256.178 | − | 295.645i | −0.355309 | − | 0.410049i | ||||
\(722\) | −619.671 | + | 89.0952i | −0.858270 | + | 0.123401i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 123.536 | − | 36.2733i | 0.170629 | − | 0.0501013i | ||||
\(725\) | 131.666 | + | 448.415i | 0.181609 | + | 0.618503i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −8.91804 | − | 62.0263i | −0.0122669 | − | 0.0853182i | 0.982768 | − | 0.184842i | \(-0.0591772\pi\) |
−0.995035 | + | 0.0995235i | \(0.968268\pi\) | |||||||
\(728\) | 88.4249 | − | 76.6206i | 0.121463 | − | 0.105248i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −34.6999 | + | 22.3003i | −0.0475342 | + | 0.0305484i | ||||
\(731\) | 526.332 | + | 75.6751i | 0.720016 | + | 0.103523i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 391.076 | − | 451.326i | 0.533528 | − | 0.615724i | −0.423438 | − | 0.905925i | \(-0.639177\pi\) |
0.956966 | + | 0.290201i | \(0.0937221\pi\) | |||||||
\(734\) | 183.144 | − | 623.730i | 0.249515 | − | 0.849769i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −121.878 | + | 45.5397i | −0.165594 | + | 0.0618746i | ||||
\(737\) | − | 586.240i | − | 0.795441i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −274.830 | + | 317.170i | −0.371894 | + | 0.429189i | −0.910590 | − | 0.413312i | \(-0.864372\pi\) |
0.538695 | + | 0.842501i | \(0.318917\pi\) | |||||||
\(740\) | −0.748820 | + | 1.16519i | −0.00101192 | + | 0.00157458i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −273.406 | + | 175.708i | −0.368472 | + | 0.236803i | ||||
\(743\) | 327.809 | − | 149.705i | 0.441197 | − | 0.201488i | −0.182416 | − | 0.983222i | \(-0.558392\pi\) |
0.623612 | + | 0.781734i | \(0.285664\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.268247 | − | 1.86570i | −0.000360064 | − | 0.00250430i | ||||
\(746\) | −869.855 | − | 397.250i | −1.16603 | − | 0.532506i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −589.636 | + | 173.133i | −0.788283 | + | 0.231461i | ||||
\(749\) | 768.572 | + | 350.995i | 1.02613 | + | 0.468618i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 197.194 | + | 227.574i | 0.262575 | + | 0.303028i | 0.871693 | − | 0.490052i | \(-0.163022\pi\) |
−0.609118 | + | 0.793079i | \(0.708477\pi\) | |||||||
\(752\) | 130.935 | − | 59.7958i | 0.174115 | − | 0.0795157i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −26.6580 | + | 185.410i | −0.0353554 | + | 0.245902i | ||||
\(755\) | 35.2965 | − | 54.9224i | 0.0467503 | − | 0.0727450i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −1284.30 | − | 377.105i | −1.69657 | − | 0.498158i | −0.716630 | − | 0.697454i | \(-0.754316\pi\) |
−0.979939 | + | 0.199296i | \(0.936134\pi\) | |||||||
\(758\) | 888.773i | 1.17252i | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −20.0911 | −0.0264357 | ||||||||
\(761\) | 12.4545 | − | 42.4160i | 0.0163659 | − | 0.0557372i | −0.950905 | − | 0.309482i | \(-0.899844\pi\) |
0.967271 | + | 0.253745i | \(0.0816624\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 785.568 | + | 504.854i | 1.02958 | + | 0.661669i | ||||
\(764\) | −388.583 | − | 55.8698i | −0.508616 | − | 0.0731280i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −316.780 | − | 693.650i | −0.413550 | − | 0.905549i | ||||
\(767\) | 456.410 | − | 395.482i | 0.595059 | − | 0.515622i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 131.544 | − | 288.042i | 0.171059 | − | 0.374567i | −0.804614 | − | 0.593798i | \(-0.797628\pi\) |
0.975673 | + | 0.219231i | \(0.0703550\pi\) | |||||||
\(770\) | 6.87517 | + | 23.4147i | 0.00892879 | + | 0.0304087i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −112.801 | + | 246.999i | −0.146115 | + | 0.319947i | ||||
\(773\) | −405.508 | + | 58.3032i | −0.524590 | + | 0.0754246i | −0.399522 | − | 0.916724i | \(-0.630824\pi\) |
−0.125068 | + | 0.992148i | \(0.539915\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 488.560 | + | 1069.80i | 0.630400 | + | 1.38038i | ||||
\(776\) | −122.212 | − | 190.166i | −0.157490 | − | 0.245059i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 91.6173 | + | 58.8789i | 0.117760 | + | 0.0756798i | ||||
\(779\) | −1507.31 | − | 1306.09i | −1.93492 | − | 1.67662i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −654.677 | −0.838255 | ||||||||
\(782\) | 745.276 | − | 407.522i | 0.953039 | − | 0.521127i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 56.5801 | + | 16.6134i | 0.0721684 | + | 0.0211906i | ||||
\(785\) | 41.9775 | + | 36.3737i | 0.0534745 | + | 0.0463359i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 7.93411 | − | 55.1829i | 0.0100815 | − | 0.0701181i | −0.984160 | − | 0.177285i | \(-0.943269\pi\) |
0.994241 | + | 0.107167i | \(0.0341778\pi\) | |||||||
\(788\) | −8.03969 | − | 12.5100i | −0.0102026 | − | 0.0158756i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 16.9960 | + | 19.6145i | 0.0215140 | + | 0.0248284i | ||||
\(791\) | 860.165 | − | 123.673i | 1.08744 | − | 0.156350i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 469.246 | − | 137.783i | 0.591735 | − | 0.173749i | ||||
\(794\) | −144.738 | − | 492.933i | −0.182290 | − | 0.620822i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −82.3589 | − | 572.819i | −0.103466 | − | 0.719622i | ||||
\(797\) | −340.720 | + | 295.236i | −0.427503 | + | 0.370434i | −0.841874 | − | 0.539675i | \(-0.818547\pi\) |
0.414370 | + | 0.910108i | \(0.364002\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −790.559 | + | 508.061i | −0.989435 | + | 0.635871i | ||||
\(800\) | 139.630 | + | 20.0758i | 0.174538 | + | 0.0250948i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 459.663 | − | 530.479i | 0.573146 | − | 0.661446i | ||||
\(803\) | −385.868 | + | 1314.15i | −0.480533 | + | 1.63655i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −16.1829 | − | 29.5952i | −0.0201029 | − | 0.0367643i | ||||
\(806\) | 471.384i | 0.584843i | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 23.7992 | − | 27.4657i | 0.0294545 | − | 0.0339923i | ||||
\(809\) | 709.205 | − | 1103.54i | 0.876644 | − | 1.36408i | −0.0541477 | − | 0.998533i | \(-0.517244\pi\) |
0.930791 | − | 0.365551i | \(-0.119119\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 153.446 | − | 98.6135i | 0.189205 | − | 0.121595i | −0.442609 | − | 0.896715i | \(-0.645947\pi\) |
0.631814 | + | 0.775120i | \(0.282311\pi\) | |||||||
\(812\) | 199.556 | − | 91.1344i | 0.245759 | − | 0.112234i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 6.54513 | + | 45.5224i | 0.00804071 | + | 0.0559243i | ||||
\(815\) | −47.6484 | − | 21.7603i | −0.0584643 | − | 0.0266997i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 553.870 | − | 162.631i | 0.677931 | − | 0.199059i | ||||
\(818\) | 945.308 | + | 431.708i | 1.15563 | + | 0.527760i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −23.0876 | − | 26.6445i | −0.0281556 | − | 0.0324933i | ||||
\(821\) | 1137.57 | − | 519.512i | 1.38559 | − | 0.632780i | 0.423600 | − | 0.905849i | \(-0.360766\pi\) |
0.961994 | + | 0.273070i | \(0.0880389\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −183.845 | + | 1278.67i | −0.223383 | + | 1.55367i | 0.501722 | + | 0.865029i | \(0.332700\pi\) |
−0.725106 | + | 0.688638i | \(0.758209\pi\) | |||||||
\(824\) | 102.204 | − | 159.032i | 0.124034 | − | 0.193000i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −678.644 | − | 199.268i | −0.821603 | − | 0.241245i | ||||
\(827\) | − | 892.421i | − | 1.07911i | −0.841952 | − | 0.539553i | \(-0.818593\pi\) | ||
0.841952 | − | 0.539553i | \(-0.181407\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 960.904 | 1.15911 | 0.579556 | − | 0.814932i | \(-0.303226\pi\) | ||||
0.579556 | + | 0.814932i | \(0.303226\pi\) | |||||||
\(830\) | −1.65270 | + | 5.62859i | −0.00199121 | + | 0.00678144i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 47.5651 | + | 30.5683i | 0.0571696 | + | 0.0367407i | ||||
\(833\) | −381.063 | − | 54.7886i | −0.457459 | − | 0.0657726i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 7.87568 | + | 17.2453i | 0.00943195 | + | 0.0206531i | ||||
\(836\) | −504.177 | + | 436.871i | −0.603082 | + | 0.522574i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 191.566 | − | 419.472i | 0.228600 | − | 0.500563i | ||||
\(839\) | −55.8484 | − | 190.202i | −0.0665655 | − | 0.226701i | 0.919491 | − | 0.393110i | \(-0.128601\pi\) |
−0.986057 | + | 0.166409i | \(0.946783\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 203.462 | − | 445.519i | 0.241928 | − | 0.529749i | ||||
\(842\) | 966.044 | − | 138.896i | 1.14732 | − | 0.164960i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 54.8467 | + | 120.098i | 0.0649843 | + | 0.142296i | ||||
\(845\) | 16.1270 | + | 25.0941i | 0.0190852 | + | 0.0296971i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 85.8803 | + | 55.1919i | 0.101393 | + | 0.0651616i | ||||
\(848\) | −118.693 | − | 102.848i | −0.139968 | − | 0.121283i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −920.962 | −1.08348 | ||||||||
\(851\) | −22.2503 | − | 59.5482i | −0.0261460 | − | 0.0699744i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 1143.34 | + | 335.716i | 1.34038 | + | 0.393571i | 0.871805 | − | 0.489853i | \(-0.162950\pi\) |
0.468575 | + | 0.883424i | \(0.344768\pi\) | |||||||
\(854\) | −432.872 | − | 375.086i | −0.506876 | − | 0.439210i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −58.1078 | + | 404.148i | −0.0678829 | + | 0.472136i | ||||
\(857\) | −60.6228 | − | 94.3309i | −0.0707384 | − | 0.110071i | 0.804082 | − | 0.594518i | \(-0.202657\pi\) |
−0.874821 | + | 0.484447i | \(0.839021\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −528.669 | − | 610.117i | −0.615447 | − | 0.710264i | 0.359388 | − | 0.933188i | \(-0.382985\pi\) |
−0.974836 | + | 0.222924i | \(0.928440\pi\) | |||||||
\(860\) | 10.1002 | − | 1.45219i | 0.0117444 | − | 0.00168859i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 1015.12 | − | 298.066i | 1.17763 | − | 0.345784i | ||||
\(863\) | 379.258 | + | 1291.63i | 0.439464 | + | 1.49668i | 0.820245 | + | 0.572012i | \(0.193837\pi\) |
−0.380781 | + | 0.924665i | \(0.624345\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 10.0343 | + | 69.7901i | 0.0116003 | + | 0.0806822i | ||||
\(866\) | −147.609 | + | 127.904i | −0.170449 | + | 0.147695i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 464.435 | − | 298.474i | 0.535063 | − | 0.343864i | ||||
\(869\) | 853.013 | + | 122.645i | 0.981603 | + | 0.141133i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 230.602 | − | 266.129i | 0.264755 | − | 0.305544i | ||||
\(872\) | −127.133 | + | 432.976i | −0.145795 | + | 0.496532i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 552.167 | − | 738.515i | 0.631770 | − | 0.844983i | ||||
\(875\) | 73.2356i | 0.0836979i | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 500.650 | − | 577.781i | 0.570866 | − | 0.658815i | −0.394749 | − | 0.918789i | \(-0.629169\pi\) |
0.965616 | + | 0.259974i | \(0.0837140\pi\) | |||||||
\(878\) | −86.9494 | + | 135.296i | −0.0990312 | + | 0.154096i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −9.92061 | + | 6.37559i | −0.0112734 | + | 0.00724499i | ||||
\(881\) | −870.676 | + | 397.624i | −0.988282 | + | 0.451333i | −0.842916 | − | 0.538045i | \(-0.819163\pi\) |
−0.145365 | + | 0.989378i | \(0.546436\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 57.8501 | + | 402.356i | 0.0655154 | + | 0.455670i | 0.996001 | + | 0.0893414i | \(0.0284762\pi\) |
−0.930486 | + | 0.366328i | \(0.880615\pi\) | |||||||
\(884\) | −335.773 | − | 153.343i | −0.379834 | − | 0.173464i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −641.539 | + | 188.373i | −0.724084 | + | 0.212610i | ||||
\(887\) | −466.605 | − | 213.091i | −0.526048 | − | 0.240238i | 0.134645 | − | 0.990894i | \(-0.457010\pi\) |
−0.660694 | + | 0.750656i | \(0.729738\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 379.116 | + | 437.524i | 0.426453 | + | 0.492152i | ||||
\(890\) | −3.77702 | + | 1.72491i | −0.00424385 | + | 0.00193810i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −27.4608 | + | 190.994i | −0.0307857 | + | 0.214119i | ||||
\(893\) | −551.542 | + | 858.217i | −0.617629 | + | 0.961049i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −2.05922 | − | 0.604640i | −0.00230080 | − | 0.000675576i | ||||
\(896\) | − | 66.2193i | − | 0.0739055i | ||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −807.222 | −0.898911 | ||||||||
\(899\) | −249.009 | + | 848.046i | −0.276984 | + | 0.943322i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 862.565 | + | 554.337i | 0.957342 | + | 0.615247i | ||||
\(902\) | −1158.74 | − | 166.602i | −1.28464 | − | 0.184703i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 174.451 | + | 381.993i | 0.192976 | + | 0.422559i | ||||
\(905\) | −12.1904 | + | 10.5630i | −0.0134700 | + | 0.0116718i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −109.448 | + | 239.657i | −0.120670 | + | 0.264231i | −0.960322 | − | 0.278895i | \(-0.910032\pi\) |
0.839651 | + | 0.543126i | \(0.182759\pi\) | |||||||
\(908\) | 173.488 | + | 590.845i | 0.191066 | + | 0.650710i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −6.08930 | + | 13.3337i | −0.00669154 | + | 0.0146524i | ||||
\(911\) | 857.198 | − | 123.246i | 0.940942 | − | 0.135287i | 0.345260 | − | 0.938507i | \(-0.387791\pi\) |
0.595682 | + | 0.803220i | \(0.296882\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 80.9171 | + | 177.184i | 0.0886277 | + | 0.194068i | ||||
\(914\) | 284.647 | + | 442.919i | 0.311430 | + | 0.484594i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −242.386 | − | 155.772i | −0.264614 | − | 0.170057i | ||||
\(917\) | 113.698 | + | 98.5202i | 0.123990 | + | 0.107438i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −874.158 | −0.951206 | −0.475603 | − | 0.879660i | \(-0.657770\pi\) | ||||
−0.475603 | + | 0.879660i | \(0.657770\pi\) | |||||||
\(920\) | 11.5191 | − | 11.5327i | 0.0125208 | − | 0.0125356i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −469.021 | − | 137.717i | −0.508700 | − | 0.149368i | ||||
\(923\) | −297.196 | − | 257.522i | −0.321990 | − | 0.279006i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −9.80885 | + | 68.2221i | −0.0106042 | + | 0.0737536i | ||||
\(926\) | 279.258 | + | 434.534i | 0.301574 | + | 0.469259i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 69.4247 | + | 80.1204i | 0.0748111 | + | 0.0863366i | ||||
\(929\) | 557.468 | − | 80.1518i | 0.600073 | − | 0.0862775i | 0.164417 | − | 0.986391i | \(-0.447426\pi\) |
0.435656 | + | 0.900113i | \(0.356517\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −401.000 | + | 117.744i | −0.430720 | + | 0.126471i | ||||
\(932\) | 94.7052 | + | 322.536i | 0.101615 | + | 0.346069i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −22.3615 | − | 155.528i | −0.0239417 | − | 0.166518i | ||||
\(935\) | 58.1846 | − | 50.4172i | 0.0622295 | − | 0.0539222i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 1161.84 | − | 746.671i | 1.23996 | − | 0.796874i | 0.254548 | − | 0.967060i | \(-0.418073\pi\) |
0.985412 | + | 0.170186i | \(0.0544370\pi\) | |||||||
\(938\) | −408.219 | − | 58.6931i | −0.435202 | − | 0.0625726i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −11.8093 | + | 13.6287i | −0.0125631 | + | 0.0144986i | ||||
\(941\) | 471.861 | − | 1607.01i | 0.501447 | − | 1.70777i | −0.186891 | − | 0.982381i | \(-0.559841\pi\) |
0.688338 | − | 0.725390i | \(-0.258341\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 1613.93 | − | 116.385i | 1.71148 | − | 0.123420i | ||||
\(944\) | − | 341.795i | − | 0.362071i | ||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 221.882 | − | 256.065i | 0.234547 | − | 0.270682i | ||||
\(947\) | 637.355 | − | 991.743i | 0.673025 | − | 1.04725i | −0.321914 | − | 0.946769i | \(-0.604326\pi\) |
0.994939 | − | 0.100478i | \(-0.0320374\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −692.097 | + | 444.784i | −0.729291 | + | 0.468687i | ||||
\(950\) | −909.432 | + | 415.324i | −0.957297 | + | 0.437183i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 61.5253 | + | 427.918i | 0.0646274 | + | 0.449493i | ||||
\(953\) | −1381.39 | − | 630.861i | −1.44952 | − | 0.661974i | −0.473728 | − | 0.880671i | \(-0.657092\pi\) |
−0.975793 | + | 0.218697i | \(0.929819\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 47.1907 | − | 13.8564i | 0.0494144 | − | 0.0145094i | ||||
\(956\) | −670.915 | − | 306.397i | −0.701794 | − | 0.320498i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −85.6854 | − | 98.8862i | −0.0894419 | − | 0.103221i | ||||
\(959\) | 717.357 | − | 327.606i | 0.748026 | − | 0.341612i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −179.773 | + | 1250.35i | −0.187069 | + | 1.30109i | ||||
\(962\) | −14.9354 | + | 23.2399i | −0.0155253 | + | 0.0241579i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −205.542 | − | 60.3525i | −0.213217 | − | 0.0626063i | ||||
\(965\) | − | 34.0188i | − | 0.0352526i | ||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 1603.98 | 1.65872 | 0.829359 | − | 0.558716i | \(-0.188706\pi\) | ||||
0.829359 | + | 0.558716i | \(0.188706\pi\) | |||||||
\(968\) | −13.8985 | + | 47.3340i | −0.0143580 | + | 0.0488988i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 23.8243 | + | 15.3109i | 0.0245611 | + | 0.0157845i | ||||
\(971\) | 1210.01 | + | 173.973i | 1.24615 | + | 0.179169i | 0.733655 | − | 0.679522i | \(-0.237813\pi\) |
0.512493 | + | 0.858691i | \(0.328722\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 74.2730 | + | 162.635i | 0.0763340 | + | 0.167148i | ||||
\(974\) | −107.964 | + | 93.5517i | −0.110846 | + | 0.0960490i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 114.982 | − | 251.775i | 0.117809 | − | 0.257966i | ||||
\(977\) | −314.727 | − | 1071.86i | −0.322136 | − | 1.09709i | −0.948293 | − | 0.317398i | \(-0.897191\pi\) |
0.626156 | − | 0.779697i | \(-0.284627\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −57.2752 | + | 125.415i | −0.0585037 | + | 0.128105i | ||||
\(980\) | −7.31251 | + | 1.05138i | −0.00746175 | + | 0.00107284i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 141.894 | + | 310.704i | 0.144495 | + | 0.316399i | ||||
\(983\) | −344.552 | − | 536.134i | −0.350511 | − | 0.545406i | 0.620571 | − | 0.784150i | \(-0.286901\pi\) |
−0.971083 | + | 0.238744i | \(0.923264\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 1.56728 | + | 1.00723i | 0.00159114 | + | 0.00102257i | ||||
\(986\) | −523.072 | − | 453.245i | −0.530499 | − | 0.459680i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −400.722 | −0.405589 | ||||||||
\(989\) | −224.205 | + | 411.176i | −0.226698 | + | 0.415749i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −75.3659 | − | 22.1294i | −0.0760504 | − | 0.0223304i | 0.243486 | − | 0.969904i | \(-0.421709\pi\) |
−0.319536 | + | 0.947574i | \(0.603527\pi\) | |||||||
\(992\) | 201.623 | + | 174.708i | 0.203249 | + | 0.176116i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −65.5449 | + | 455.875i | −0.0659405 | + | 0.458626i | ||||
\(995\) | 39.1974 | + | 60.9924i | 0.0393944 | + | 0.0612989i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 338.699 | + | 390.879i | 0.339718 | + | 0.392055i | 0.899743 | − | 0.436420i | \(-0.143754\pi\) |
−0.560025 | + | 0.828476i | \(0.689209\pi\) | |||||||
\(998\) | 392.213 | − | 56.3917i | 0.392999 | − | 0.0565047i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 414.3.k.b.179.2 | ✓ | 80 | |
3.2 | odd | 2 | inner | 414.3.k.b.179.7 | yes | 80 | |
23.9 | even | 11 | inner | 414.3.k.b.377.7 | yes | 80 | |
69.32 | odd | 22 | inner | 414.3.k.b.377.2 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
414.3.k.b.179.2 | ✓ | 80 | 1.1 | even | 1 | trivial | |
414.3.k.b.179.7 | yes | 80 | 3.2 | odd | 2 | inner | |
414.3.k.b.377.2 | yes | 80 | 69.32 | odd | 22 | inner | |
414.3.k.b.377.7 | yes | 80 | 23.9 | even | 11 | inner |