Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,3,Mod(73,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.73");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.p (of order \(6\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(10.2997539928\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{6})\) |
Twist minimal: | no (minimal twist has level 126) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 73.7 | ||
Character | \(\chi\) | \(=\) | 378.73 |
Dual form | 378.3.p.a.145.7 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41421 | −0.707107 | ||||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 2.00000 | 0.500000 | ||||||||
\(5\) | 6.01208 | + | 3.47108i | 1.20242 | + | 0.694216i | 0.961092 | − | 0.276229i | \(-0.0890847\pi\) |
0.241325 | + | 0.970444i | \(0.422418\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −6.97949 | − | 0.535409i | −0.997071 | − | 0.0764870i | ||||
\(8\) | −2.82843 | −0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −8.50237 | − | 4.90885i | −0.850237 | − | 0.490885i | ||||
\(11\) | 8.72855 | + | 15.1183i | 0.793504 | + | 1.37439i | 0.923785 | + | 0.382913i | \(0.125079\pi\) |
−0.130280 | + | 0.991477i | \(0.541588\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −13.3362 | + | 7.69965i | −1.02586 | + | 0.592281i | −0.915796 | − | 0.401643i | \(-0.868439\pi\) |
−0.110065 | + | 0.993924i | \(0.535106\pi\) | |||||||
\(14\) | 9.87050 | + | 0.757183i | 0.705035 | + | 0.0540845i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 4.00000 | 0.250000 | ||||||||
\(17\) | −12.3517 | − | 7.13128i | −0.726573 | − | 0.419487i | 0.0905943 | − | 0.995888i | \(-0.471123\pi\) |
−0.817167 | + | 0.576401i | \(0.804457\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.25450 | − | 0.724286i | 0.0660264 | − | 0.0381203i | −0.466623 | − | 0.884456i | \(-0.654530\pi\) |
0.532650 | + | 0.846336i | \(0.321196\pi\) | |||||||
\(20\) | 12.0242 | + | 6.94216i | 0.601208 | + | 0.347108i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −12.3440 | − | 21.3805i | −0.561092 | − | 0.971840i | ||||
\(23\) | −6.43077 | + | 11.1384i | −0.279599 | + | 0.484279i | −0.971285 | − | 0.237919i | \(-0.923535\pi\) |
0.691686 | + | 0.722198i | \(0.256868\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 11.5968 | + | 20.0862i | 0.463871 | + | 0.803448i | ||||
\(26\) | 18.8602 | − | 10.8890i | 0.725393 | − | 0.418806i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −13.9590 | − | 1.07082i | −0.498535 | − | 0.0382435i | ||||
\(29\) | 2.98967 | − | 5.17826i | 0.103092 | − | 0.178561i | −0.809865 | − | 0.586616i | \(-0.800460\pi\) |
0.912957 | + | 0.408056i | \(0.133793\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 16.4679i | − | 0.531223i | −0.964080 | − | 0.265611i | \(-0.914426\pi\) | ||
0.964080 | − | 0.265611i | \(-0.0855738\pi\) | |||||||
\(32\) | −5.65685 | −0.176777 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 17.4680 | + | 10.0852i | 0.513765 | + | 0.296622i | ||||
\(35\) | −40.1029 | − | 27.4453i | −1.14580 | − | 0.784151i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.732115 | − | 1.26806i | −0.0197869 | − | 0.0342719i | 0.855962 | − | 0.517038i | \(-0.172965\pi\) |
−0.875749 | + | 0.482766i | \(0.839632\pi\) | |||||||
\(38\) | −1.77413 | + | 1.02430i | −0.0466877 | + | 0.0269551i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −17.0047 | − | 9.81769i | −0.425119 | − | 0.245442i | ||||
\(41\) | −10.5856 | + | 6.11162i | −0.258186 | + | 0.149064i | −0.623507 | − | 0.781818i | \(-0.714293\pi\) |
0.365321 | + | 0.930882i | \(0.380959\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −40.1499 | + | 69.5416i | −0.933718 | + | 1.61725i | −0.156814 | + | 0.987628i | \(0.550122\pi\) |
−0.776904 | + | 0.629619i | \(0.783211\pi\) | |||||||
\(44\) | 17.4571 | + | 30.2366i | 0.396752 | + | 0.687195i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 9.09448 | − | 15.7521i | 0.197706 | − | 0.342437i | ||||
\(47\) | 83.6474i | 1.77973i | 0.456223 | + | 0.889866i | \(0.349202\pi\) | ||||
−0.456223 | + | 0.889866i | \(0.650798\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 48.4267 | + | 7.47377i | 0.988299 | + | 0.152526i | ||||
\(50\) | −16.4003 | − | 28.4062i | −0.328006 | − | 0.568123i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −26.6724 | + | 15.3993i | −0.512930 | + | 0.296140i | ||||
\(53\) | −6.51752 | + | 11.2887i | −0.122972 | + | 0.212994i | −0.920938 | − | 0.389708i | \(-0.872576\pi\) |
0.797966 | + | 0.602702i | \(0.205909\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 121.190i | 2.20345i | ||||||||
\(56\) | 19.7410 | + | 1.51437i | 0.352518 | + | 0.0270423i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −4.22803 | + | 7.32317i | −0.0728971 | + | 0.126262i | ||||
\(59\) | 101.747i | 1.72452i | 0.506462 | + | 0.862262i | \(0.330953\pi\) | ||||
−0.506462 | + | 0.862262i | \(0.669047\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | − | 67.1191i | − | 1.10031i | −0.835062 | − | 0.550156i | \(-0.814568\pi\) | ||
0.835062 | − | 0.550156i | \(-0.185432\pi\) | |||||||
\(62\) | 23.2891i | 0.375631i | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 8.00000 | 0.125000 | ||||||||
\(65\) | −106.904 | −1.64468 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −39.4835 | −0.589306 | −0.294653 | − | 0.955604i | \(-0.595204\pi\) | ||||
−0.294653 | + | 0.955604i | \(0.595204\pi\) | |||||||
\(68\) | −24.7035 | − | 14.2626i | −0.363286 | − | 0.209743i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 56.7140 | + | 38.8135i | 0.810200 | + | 0.554479i | ||||
\(71\) | 93.8955 | 1.32247 | 0.661236 | − | 0.750178i | \(-0.270032\pi\) | ||||
0.661236 | + | 0.750178i | \(0.270032\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 17.2189 | + | 9.94134i | 0.235875 | + | 0.136183i | 0.613280 | − | 0.789866i | \(-0.289850\pi\) |
−0.377404 | + | 0.926049i | \(0.623183\pi\) | |||||||
\(74\) | 1.03537 | + | 1.79331i | 0.0139914 | + | 0.0242339i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 2.50900 | − | 1.44857i | 0.0330132 | − | 0.0190602i | ||||
\(77\) | −52.8264 | − | 110.191i | −0.686057 | − | 1.43106i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −122.786 | −1.55425 | −0.777126 | − | 0.629345i | \(-0.783323\pi\) | ||||
−0.777126 | + | 0.629345i | \(0.783323\pi\) | |||||||
\(80\) | 24.0483 | + | 13.8843i | 0.300604 | + | 0.173554i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 14.9703 | − | 8.64313i | 0.182565 | − | 0.105404i | ||||
\(83\) | −7.01741 | − | 4.05150i | −0.0845471 | − | 0.0488133i | 0.457130 | − | 0.889400i | \(-0.348877\pi\) |
−0.541678 | + | 0.840586i | \(0.682211\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −49.5065 | − | 85.7477i | −0.582429 | − | 1.00880i | ||||
\(86\) | 56.7805 | − | 98.3467i | 0.660238 | − | 1.14357i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −24.6881 | − | 42.7610i | −0.280546 | − | 0.485920i | ||||
\(89\) | 43.7047 | − | 25.2329i | 0.491064 | − | 0.283516i | −0.233952 | − | 0.972248i | \(-0.575166\pi\) |
0.725016 | + | 0.688732i | \(0.241832\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 97.2023 | − | 46.5994i | 1.06816 | − | 0.512081i | ||||
\(92\) | −12.8615 | + | 22.2768i | −0.139799 | + | 0.242139i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | − | 118.295i | − | 1.25846i | ||||||
\(95\) | 10.0562 | 0.105855 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 80.8837 | + | 46.6982i | 0.833853 | + | 0.481425i | 0.855170 | − | 0.518348i | \(-0.173453\pi\) |
−0.0213173 | + | 0.999773i | \(0.506786\pi\) | |||||||
\(98\) | −68.4857 | − | 10.5695i | −0.698833 | − | 0.107852i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 23.1935 | + | 40.1724i | 0.231935 | + | 0.401724i | ||||
\(101\) | 121.717 | − | 70.2731i | 1.20511 | − | 0.695773i | 0.243426 | − | 0.969919i | \(-0.421729\pi\) |
0.961688 | + | 0.274146i | \(0.0883953\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −31.2691 | − | 18.0532i | −0.303584 | − | 0.175274i | 0.340468 | − | 0.940256i | \(-0.389414\pi\) |
−0.644052 | + | 0.764982i | \(0.722748\pi\) | |||||||
\(104\) | 37.7204 | − | 21.7779i | 0.362697 | − | 0.209403i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 9.21716 | − | 15.9646i | 0.0869544 | − | 0.150609i | ||||
\(107\) | −11.3624 | − | 19.6803i | −0.106191 | − | 0.183928i | 0.808033 | − | 0.589137i | \(-0.200532\pi\) |
−0.914224 | + | 0.405209i | \(0.867199\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 78.3438 | − | 135.695i | 0.718751 | − | 1.24491i | −0.242744 | − | 0.970090i | \(-0.578048\pi\) |
0.961495 | − | 0.274823i | \(-0.0886191\pi\) | |||||||
\(110\) | − | 171.388i | − | 1.55808i | ||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −27.9180 | − | 2.14164i | −0.249268 | − | 0.0191218i | ||||
\(113\) | 66.4505 | + | 115.096i | 0.588058 | + | 1.01855i | 0.994487 | + | 0.104863i | \(0.0334405\pi\) |
−0.406429 | + | 0.913682i | \(0.633226\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −77.3246 | + | 44.6434i | −0.672388 | + | 0.388203i | ||||
\(116\) | 5.97934 | − | 10.3565i | 0.0515460 | − | 0.0892804i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 143.892i | − | 1.21942i | ||||||
\(119\) | 82.3907 | + | 56.3860i | 0.692359 | + | 0.473832i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −91.8751 | + | 159.132i | −0.759298 | + | 1.31514i | ||||
\(122\) | 94.9207i | 0.778039i | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | − | 32.9358i | − | 0.265611i | ||||||
\(125\) | − | 12.5408i | − | 0.100326i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 245.690 | 1.93457 | 0.967284 | − | 0.253694i | \(-0.0816458\pi\) | ||||
0.967284 | + | 0.253694i | \(0.0816458\pi\) | |||||||
\(128\) | −11.3137 | −0.0883883 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 151.186 | 1.16297 | ||||||||
\(131\) | −187.332 | − | 108.156i | −1.43002 | − | 0.825620i | −0.432895 | − | 0.901444i | \(-0.642508\pi\) |
−0.997121 | + | 0.0758237i | \(0.975841\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −9.14357 | + | 4.38348i | −0.0687486 | + | 0.0329585i | ||||
\(134\) | 55.8381 | 0.416702 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 34.9360 | + | 20.1703i | 0.256882 | + | 0.148311i | ||||
\(137\) | −50.3719 | − | 87.2467i | −0.367678 | − | 0.636837i | 0.621524 | − | 0.783395i | \(-0.286514\pi\) |
−0.989202 | + | 0.146558i | \(0.953181\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 152.411 | − | 87.9944i | 1.09648 | − | 0.633054i | 0.161187 | − | 0.986924i | \(-0.448468\pi\) |
0.935294 | + | 0.353870i | \(0.115135\pi\) | |||||||
\(140\) | −80.2057 | − | 54.8906i | −0.572898 | − | 0.392076i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −132.788 | −0.935128 | ||||||||
\(143\) | −232.811 | − | 134.414i | −1.62805 | − | 0.939955i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 35.9483 | − | 20.7548i | 0.247919 | − | 0.143136i | ||||
\(146\) | −24.3512 | − | 14.0592i | −0.166789 | − | 0.0962957i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1.46423 | − | 2.53612i | −0.00989344 | − | 0.0171359i | ||||
\(149\) | −100.465 | + | 174.010i | −0.674258 | + | 1.16785i | 0.302427 | + | 0.953173i | \(0.402203\pi\) |
−0.976685 | + | 0.214677i | \(0.931130\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 118.477 | + | 205.209i | 0.784619 | + | 1.35900i | 0.929227 | + | 0.369510i | \(0.120474\pi\) |
−0.144608 | + | 0.989489i | \(0.546192\pi\) | |||||||
\(152\) | −3.54826 | + | 2.04859i | −0.0233438 | + | 0.0134776i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 74.7078 | + | 155.834i | 0.485115 | + | 1.01191i | ||||
\(155\) | 57.1614 | − | 99.0064i | 0.368783 | − | 0.638751i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 13.1553i | 0.0837919i | 0.999122 | + | 0.0418960i | \(0.0133398\pi\) | ||||
−0.999122 | + | 0.0418960i | \(0.986660\pi\) | |||||||
\(158\) | 173.646 | 1.09902 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −34.0095 | − | 19.6354i | −0.212559 | − | 0.122721i | ||||
\(161\) | 50.8471 | − | 74.2974i | 0.315821 | − | 0.461475i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −91.5446 | − | 158.560i | −0.561623 | − | 0.972760i | −0.997355 | − | 0.0726836i | \(-0.976844\pi\) |
0.435732 | − | 0.900077i | \(-0.356490\pi\) | |||||||
\(164\) | −21.1713 | + | 12.2232i | −0.129093 | + | 0.0745319i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 9.92412 | + | 5.72969i | 0.0597838 | + | 0.0345162i | ||||
\(167\) | 178.551 | − | 103.087i | 1.06917 | − | 0.617285i | 0.141215 | − | 0.989979i | \(-0.454899\pi\) |
0.927954 | + | 0.372694i | \(0.121566\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 34.0693 | − | 59.0098i | 0.201593 | − | 0.349170i | ||||
\(170\) | 70.0127 | + | 121.266i | 0.411839 | + | 0.713327i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −80.2998 | + | 139.083i | −0.466859 | + | 0.808624i | ||||
\(173\) | − | 183.449i | − | 1.06040i | −0.847873 | − | 0.530199i | \(-0.822117\pi\) | ||
0.847873 | − | 0.530199i | \(-0.177883\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −70.1852 | − | 146.400i | −0.401059 | − | 0.836574i | ||||
\(176\) | 34.9142 | + | 60.4731i | 0.198376 | + | 0.343597i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −61.8078 | + | 35.6847i | −0.347235 | + | 0.200476i | ||||
\(179\) | −19.7815 | + | 34.2626i | −0.110511 | + | 0.191411i | −0.915976 | − | 0.401232i | \(-0.868582\pi\) |
0.805465 | + | 0.592643i | \(0.201915\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 3.67614i | 0.0203102i | 0.999948 | + | 0.0101551i | \(0.00323252\pi\) | ||||
−0.999948 | + | 0.0101551i | \(0.996767\pi\) | |||||||
\(182\) | −137.465 | + | 65.9014i | −0.755301 | + | 0.362096i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 18.1890 | − | 31.5042i | 0.0988530 | − | 0.171218i | ||||
\(185\) | − | 10.1649i | − | 0.0549454i | ||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | − | 248.983i | − | 1.33146i | ||||||
\(188\) | 167.295i | 0.889866i | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −14.2216 | −0.0748507 | ||||||||
\(191\) | 47.8780 | 0.250670 | 0.125335 | − | 0.992114i | \(-0.459999\pi\) | ||||
0.125335 | + | 0.992114i | \(0.459999\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 58.4870 | 0.303041 | 0.151521 | − | 0.988454i | \(-0.451583\pi\) | ||||
0.151521 | + | 0.988454i | \(0.451583\pi\) | |||||||
\(194\) | −114.387 | − | 66.0413i | −0.589623 | − | 0.340419i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 96.8533 | + | 14.9475i | 0.494150 | + | 0.0762630i | ||||
\(197\) | 203.981 | 1.03544 | 0.517718 | − | 0.855552i | \(-0.326782\pi\) | ||||
0.517718 | + | 0.855552i | \(0.326782\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −146.130 | − | 84.3682i | −0.734321 | − | 0.423961i | 0.0856795 | − | 0.996323i | \(-0.472694\pi\) |
−0.820001 | + | 0.572362i | \(0.806027\pi\) | |||||||
\(200\) | −32.8006 | − | 56.8123i | −0.164003 | − | 0.284062i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −172.133 | + | 99.3811i | −0.852145 | + | 0.491986i | ||||
\(203\) | −23.6389 | + | 34.5409i | −0.116448 | + | 0.170152i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −84.8556 | −0.413930 | ||||||||
\(206\) | 44.2212 | + | 25.5311i | 0.214666 | + | 0.123937i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −53.3448 | + | 30.7986i | −0.256465 | + | 0.148070i | ||||
\(209\) | 21.8999 | + | 12.6439i | 0.104784 | + | 0.0604973i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 24.3937 | + | 42.2511i | 0.115610 | + | 0.200242i | 0.918023 | − | 0.396526i | \(-0.129784\pi\) |
−0.802413 | + | 0.596768i | \(0.796451\pi\) | |||||||
\(212\) | −13.0350 | + | 22.5773i | −0.0614860 | + | 0.106497i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 16.0689 | + | 27.8322i | 0.0750884 | + | 0.130057i | ||||
\(215\) | −482.769 | + | 278.727i | −2.24544 | + | 1.29640i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −8.81707 | + | 114.938i | −0.0406316 | + | 0.529666i | ||||
\(218\) | −110.795 | + | 191.902i | −0.508234 | + | 0.880286i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 242.380i | 1.10173i | ||||||||
\(221\) | 219.633 | 0.993817 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 158.969 | + | 91.7807i | 0.712865 | + | 0.411573i | 0.812121 | − | 0.583489i | \(-0.198313\pi\) |
−0.0992560 | + | 0.995062i | \(0.531646\pi\) | |||||||
\(224\) | 39.4820 | + | 3.02873i | 0.176259 | + | 0.0135211i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −93.9752 | − | 162.770i | −0.415820 | − | 0.720221i | ||||
\(227\) | 70.3035 | − | 40.5897i | 0.309707 | − | 0.178809i | −0.337088 | − | 0.941473i | \(-0.609442\pi\) |
0.646795 | + | 0.762664i | \(0.276109\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −176.364 | − | 101.824i | −0.770149 | − | 0.444646i | 0.0627785 | − | 0.998027i | \(-0.480004\pi\) |
−0.832928 | + | 0.553382i | \(0.813337\pi\) | |||||||
\(230\) | 109.354 | − | 63.1353i | 0.475450 | − | 0.274501i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −8.45607 | + | 14.6463i | −0.0364486 | + | 0.0631308i | ||||
\(233\) | −11.3573 | − | 19.6715i | −0.0487439 | − | 0.0844270i | 0.840624 | − | 0.541619i | \(-0.182188\pi\) |
−0.889368 | + | 0.457192i | \(0.848855\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −290.347 | + | 502.895i | −1.23552 | + | 2.13998i | ||||
\(236\) | 203.494i | 0.862262i | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −116.518 | − | 79.7418i | −0.489572 | − | 0.335049i | ||||
\(239\) | 17.2294 | + | 29.8421i | 0.0720894 | + | 0.124863i | 0.899817 | − | 0.436268i | \(-0.143700\pi\) |
−0.827727 | + | 0.561130i | \(0.810367\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 106.441 | − | 61.4535i | 0.441662 | − | 0.254994i | −0.262640 | − | 0.964894i | \(-0.584593\pi\) |
0.704302 | + | 0.709900i | \(0.251260\pi\) | |||||||
\(242\) | 129.931 | − | 225.047i | 0.536905 | − | 0.929947i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | − | 134.238i | − | 0.550156i | ||||||
\(245\) | 265.203 | + | 213.026i | 1.08246 | + | 0.869493i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −11.1535 | + | 19.3184i | −0.0451559 | + | 0.0782123i | ||||
\(248\) | 46.5783i | 0.187816i | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 17.7353i | 0.0709413i | ||||||||
\(251\) | 63.3749i | 0.252490i | 0.991999 | + | 0.126245i | \(0.0402925\pi\) | ||||
−0.991999 | + | 0.126245i | \(0.959708\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −224.525 | −0.887451 | ||||||||
\(254\) | −347.458 | −1.36795 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 16.0000 | 0.0625000 | ||||||||
\(257\) | 113.664 | + | 65.6238i | 0.442272 | + | 0.255346i | 0.704561 | − | 0.709644i | \(-0.251144\pi\) |
−0.262289 | + | 0.964989i | \(0.584477\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 4.43086 | + | 9.24239i | 0.0171076 | + | 0.0356849i | ||||
\(260\) | −213.809 | −0.822341 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 264.928 | + | 152.956i | 1.01117 | + | 0.583802i | ||||
\(263\) | 136.997 | + | 237.285i | 0.520899 | + | 0.902224i | 0.999705 | + | 0.0243030i | \(0.00773665\pi\) |
−0.478805 | + | 0.877921i | \(0.658930\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −78.3677 | + | 45.2456i | −0.295727 | + | 0.170738i | ||||
\(266\) | 12.9310 | − | 6.19918i | 0.0486126 | − | 0.0233052i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −78.9669 | −0.294653 | ||||||||
\(269\) | 142.473 | + | 82.2566i | 0.529638 | + | 0.305787i | 0.740869 | − | 0.671649i | \(-0.234414\pi\) |
−0.211231 | + | 0.977436i | \(0.567747\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −62.3327 | + | 35.9878i | −0.230010 | + | 0.132796i | −0.610577 | − | 0.791957i | \(-0.709062\pi\) |
0.380567 | + | 0.924753i | \(0.375729\pi\) | |||||||
\(272\) | −49.4069 | − | 28.5251i | −0.181643 | − | 0.104872i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 71.2366 | + | 123.385i | 0.259988 | + | 0.450312i | ||||
\(275\) | −202.446 | + | 350.647i | −0.736167 | + | 1.27508i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −37.5087 | − | 64.9670i | −0.135411 | − | 0.234538i | 0.790344 | − | 0.612664i | \(-0.209902\pi\) |
−0.925754 | + | 0.378126i | \(0.876569\pi\) | |||||||
\(278\) | −215.542 | + | 124.443i | −0.775329 | + | 0.447636i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 113.428 | + | 77.6270i | 0.405100 | + | 0.277239i | ||||
\(281\) | −185.301 | + | 320.950i | −0.659433 | + | 1.14217i | 0.321329 | + | 0.946968i | \(0.395870\pi\) |
−0.980763 | + | 0.195205i | \(0.937463\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 139.136i | 0.491648i | 0.969315 | + | 0.245824i | \(0.0790585\pi\) | ||||
−0.969315 | + | 0.245824i | \(0.920942\pi\) | |||||||
\(284\) | 187.791 | 0.661236 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 329.245 | + | 190.089i | 1.15121 | + | 0.664649i | ||||
\(287\) | 77.1546 | − | 36.9884i | 0.268831 | − | 0.128879i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −42.7897 | − | 74.1140i | −0.148061 | − | 0.256450i | ||||
\(290\) | −50.8386 | + | 29.3517i | −0.175305 | + | 0.101213i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 34.4378 | + | 19.8827i | 0.117938 | + | 0.0680913i | ||||
\(293\) | −89.4372 | + | 51.6366i | −0.305247 | + | 0.176234i | −0.644797 | − | 0.764354i | \(-0.723058\pi\) |
0.339551 | + | 0.940588i | \(0.389725\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −353.172 | + | 611.711i | −1.19719 | + | 2.07360i | ||||
\(296\) | 2.07073 | + | 3.58661i | 0.00699572 | + | 0.0121169i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 142.078 | − | 246.087i | 0.476773 | − | 0.825795i | ||||
\(299\) | − | 198.059i | − | 0.662404i | ||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 317.459 | − | 463.869i | 1.05468 | − | 1.54109i | ||||
\(302\) | −167.552 | − | 290.209i | −0.554809 | − | 0.960957i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 5.01800 | − | 2.89715i | 0.0165066 | − | 0.00953008i | ||||
\(305\) | 232.976 | − | 403.526i | 0.763854 | − | 1.32303i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 190.081i | − | 0.619158i | −0.950874 | − | 0.309579i | \(-0.899812\pi\) | ||
0.950874 | − | 0.309579i | \(-0.100188\pi\) | |||||||
\(308\) | −105.653 | − | 220.383i | −0.343028 | − | 0.715528i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −80.8384 | + | 140.016i | −0.260769 | + | 0.451665i | ||||
\(311\) | − | 155.398i | − | 0.499671i | −0.968288 | − | 0.249836i | \(-0.919623\pi\) | ||
0.968288 | − | 0.249836i | \(-0.0803766\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | − | 566.895i | − | 1.81117i | −0.424170 | − | 0.905583i | \(-0.639434\pi\) | ||
0.424170 | − | 0.905583i | \(-0.360566\pi\) | |||||||
\(314\) | − | 18.6044i | − | 0.0592498i | ||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −245.572 | −0.777126 | ||||||||
\(317\) | 191.408 | 0.603809 | 0.301905 | − | 0.953338i | \(-0.402378\pi\) | ||||
0.301905 | + | 0.953338i | \(0.402378\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 104.382 | 0.327216 | ||||||||
\(320\) | 48.0967 | + | 27.7686i | 0.150302 | + | 0.0867770i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −71.9087 | + | 105.072i | −0.223319 | + | 0.326312i | ||||
\(323\) | −20.6604 | −0.0639639 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −309.313 | − | 178.582i | −0.951733 | − | 0.549484i | ||||
\(326\) | 129.464 | + | 224.238i | 0.397128 | + | 0.687845i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 29.9407 | − | 17.2863i | 0.0912826 | − | 0.0527020i | ||||
\(329\) | 44.7856 | − | 583.816i | 0.136126 | − | 1.77452i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 526.847 | 1.59168 | 0.795842 | − | 0.605504i | \(-0.207029\pi\) | ||||
0.795842 | + | 0.605504i | \(0.207029\pi\) | |||||||
\(332\) | −14.0348 | − | 8.10301i | −0.0422736 | − | 0.0244067i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −252.510 | + | 145.786i | −0.756017 | + | 0.436486i | ||||
\(335\) | −237.378 | − | 137.050i | −0.708591 | − | 0.409105i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −168.251 | − | 291.419i | −0.499261 | − | 0.864746i | 0.500738 | − | 0.865599i | \(-0.333062\pi\) |
−1.00000 | 0.000852644i | \(0.999729\pi\) | ||||||||
\(338\) | −48.1813 | + | 83.4524i | −0.142548 | + | 0.246901i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −99.0129 | − | 171.495i | −0.291214 | − | 0.504398i | ||||
\(341\) | 248.966 | − | 143.741i | 0.730107 | − | 0.421527i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −333.992 | − | 78.0912i | −0.973738 | − | 0.227671i | ||||
\(344\) | 113.561 | − | 196.693i | 0.330119 | − | 0.571783i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 259.436i | 0.749815i | ||||||||
\(347\) | −185.827 | −0.535523 | −0.267762 | − | 0.963485i | \(-0.586284\pi\) | ||||
−0.267762 | + | 0.963485i | \(0.586284\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −217.753 | − | 125.720i | −0.623935 | − | 0.360229i | 0.154464 | − | 0.987998i | \(-0.450635\pi\) |
−0.778400 | + | 0.627769i | \(0.783968\pi\) | |||||||
\(350\) | 99.2569 | + | 207.042i | 0.283591 | + | 0.591547i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −49.3761 | − | 85.5219i | −0.140273 | − | 0.242960i | ||||
\(353\) | 66.3740 | − | 38.3210i | 0.188028 | − | 0.108558i | −0.403031 | − | 0.915186i | \(-0.632043\pi\) |
0.591059 | + | 0.806628i | \(0.298710\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 564.507 | + | 325.919i | 1.59016 | + | 0.918080i | ||||
\(356\) | 87.4094 | − | 50.4658i | 0.245532 | − | 0.141758i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 27.9753 | − | 48.4546i | 0.0781432 | − | 0.135348i | ||||
\(359\) | 236.702 | + | 409.979i | 0.659336 | + | 1.14200i | 0.980788 | + | 0.195078i | \(0.0624960\pi\) |
−0.321451 | + | 0.946926i | \(0.604171\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −179.451 | + | 310.818i | −0.497094 | + | 0.860992i | ||||
\(362\) | − | 5.19885i | − | 0.0143615i | ||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 194.405 | − | 93.1987i | 0.534079 | − | 0.256040i | ||||
\(365\) | 69.0143 | + | 119.536i | 0.189080 | + | 0.327497i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −42.3520 | + | 24.4520i | −0.115401 | + | 0.0666266i | −0.556589 | − | 0.830788i | \(-0.687890\pi\) |
0.441189 | + | 0.897414i | \(0.354557\pi\) | |||||||
\(368\) | −25.7231 | + | 44.5537i | −0.0698996 | + | 0.121070i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 14.3753i | 0.0388523i | ||||||||
\(371\) | 51.5330 | − | 75.2997i | 0.138903 | − | 0.202964i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −273.081 | + | 472.991i | −0.732121 | + | 1.26807i | 0.223854 | + | 0.974623i | \(0.428136\pi\) |
−0.955975 | + | 0.293448i | \(0.905197\pi\) | |||||||
\(374\) | 352.115i | 0.941484i | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | − | 236.590i | − | 0.629230i | ||||||
\(377\) | 92.0777i | 0.244238i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 385.626 | 1.01748 | 0.508741 | − | 0.860920i | \(-0.330111\pi\) | ||||
0.508741 | + | 0.860920i | \(0.330111\pi\) | |||||||
\(380\) | 20.1124 | 0.0529275 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −67.7097 | −0.177250 | ||||||||
\(383\) | 42.1074 | + | 24.3107i | 0.109941 | + | 0.0634744i | 0.553962 | − | 0.832542i | \(-0.313115\pi\) |
−0.444021 | + | 0.896016i | \(0.646449\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 64.8862 | − | 845.844i | 0.168536 | − | 2.19700i | ||||
\(386\) | −82.7131 | −0.214283 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 161.767 | + | 93.3965i | 0.416926 | + | 0.240713i | ||||
\(389\) | 184.898 | + | 320.253i | 0.475316 | + | 0.823272i | 0.999600 | − | 0.0282716i | \(-0.00900032\pi\) |
−0.524284 | + | 0.851543i | \(0.675667\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 158.862 | − | 91.7192i | 0.406297 | − | 0.234576i | ||||
\(392\) | −136.971 | − | 21.1390i | −0.349417 | − | 0.0539261i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −288.472 | −0.732163 | ||||||||
\(395\) | −738.199 | − | 426.199i | −1.86886 | − | 1.07899i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 570.204 | − | 329.208i | 1.43628 | − | 0.829238i | 0.438694 | − | 0.898637i | \(-0.355441\pi\) |
0.997589 | + | 0.0693984i | \(0.0221080\pi\) | |||||||
\(398\) | 206.659 | + | 119.315i | 0.519244 | + | 0.299785i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 46.3871 | + | 80.3448i | 0.115968 | + | 0.200862i | ||||
\(401\) | 10.9763 | − | 19.0114i | 0.0273722 | − | 0.0474101i | −0.852015 | − | 0.523518i | \(-0.824619\pi\) |
0.879387 | + | 0.476108i | \(0.157953\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 126.797 | + | 219.619i | 0.314633 | + | 0.544960i | ||||
\(404\) | 243.433 | − | 140.546i | 0.602557 | − | 0.347887i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 33.4304 | − | 48.8483i | 0.0823409 | − | 0.120316i | ||||
\(407\) | 12.7806 | − | 22.1366i | 0.0314019 | − | 0.0543898i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 229.660i | 0.561517i | 0.959778 | + | 0.280758i | \(0.0905860\pi\) | ||||
−0.959778 | + | 0.280758i | \(0.909414\pi\) | |||||||
\(410\) | 120.004 | 0.292693 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −62.5382 | − | 36.1065i | −0.151792 | − | 0.0876370i | ||||
\(413\) | 54.4763 | − | 710.142i | 0.131904 | − | 1.71947i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −28.1262 | − | 48.7160i | −0.0677739 | − | 0.117388i | ||||
\(416\) | 75.4409 | − | 43.5558i | 0.181348 | − | 0.104701i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −30.9712 | − | 17.8812i | −0.0740938 | − | 0.0427780i | ||||
\(419\) | −504.537 | + | 291.295i | −1.20415 | + | 0.695214i | −0.961474 | − | 0.274894i | \(-0.911357\pi\) |
−0.242672 | + | 0.970108i | \(0.578024\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 31.2793 | − | 54.1774i | 0.0742977 | − | 0.128687i | −0.826483 | − | 0.562962i | \(-0.809662\pi\) |
0.900781 | + | 0.434274i | \(0.142995\pi\) | |||||||
\(422\) | −34.4979 | − | 59.7521i | −0.0817486 | − | 0.141593i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 18.4343 | − | 31.9292i | 0.0434772 | − | 0.0753047i | ||||
\(425\) | − | 330.799i | − | 0.778351i | ||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −35.9362 | + | 468.457i | −0.0841597 | + | 1.09709i | ||||
\(428\) | −22.7249 | − | 39.3606i | −0.0530955 | − | 0.0919641i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 682.738 | − | 394.179i | 1.58776 | − | 0.916696i | ||||
\(431\) | 162.412 | − | 281.305i | 0.376826 | − | 0.652681i | −0.613773 | − | 0.789483i | \(-0.710349\pi\) |
0.990598 | + | 0.136802i | \(0.0436823\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 222.186i | 0.513131i | 0.966527 | + | 0.256566i | \(0.0825909\pi\) | ||||
−0.966527 | + | 0.256566i | \(0.917409\pi\) | |||||||
\(434\) | 12.4692 | − | 162.546i | 0.0287309 | − | 0.374531i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 156.688 | − | 271.391i | 0.359375 | − | 0.622456i | ||||
\(437\) | 18.6309i | 0.0426336i | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | − | 382.234i | − | 0.870693i | −0.900263 | − | 0.435346i | \(-0.856626\pi\) | ||
0.900263 | − | 0.435346i | \(-0.143374\pi\) | |||||||
\(440\) | − | 342.777i | − | 0.779038i | ||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −310.609 | −0.702734 | ||||||||
\(443\) | −18.4259 | −0.0415934 | −0.0207967 | − | 0.999784i | \(-0.506620\pi\) | ||||
−0.0207967 | + | 0.999784i | \(0.506620\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 350.342 | 0.787285 | ||||||||
\(446\) | −224.816 | − | 129.798i | −0.504072 | − | 0.291026i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −55.8360 | − | 4.28327i | −0.124634 | − | 0.00956088i | ||||
\(449\) | −383.046 | −0.853109 | −0.426554 | − | 0.904462i | \(-0.640273\pi\) | ||||
−0.426554 | + | 0.904462i | \(0.640273\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −184.794 | − | 106.691i | −0.409744 | − | 0.236566i | ||||
\(452\) | 132.901 | + | 230.191i | 0.294029 | + | 0.509273i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −99.4241 | + | 57.4025i | −0.218996 | + | 0.126437i | ||||
\(455\) | 746.139 | + | 57.2376i | 1.63986 | + | 0.125797i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 120.265 | 0.263163 | 0.131581 | − | 0.991305i | \(-0.457995\pi\) | ||||
0.131581 | + | 0.991305i | \(0.457995\pi\) | |||||||
\(458\) | 249.417 | + | 144.001i | 0.544578 | + | 0.314412i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −154.649 | + | 89.2868i | −0.336194 | + | 0.194102i | ||||
\(461\) | −17.9439 | − | 10.3599i | −0.0389239 | − | 0.0224727i | 0.480412 | − | 0.877043i | \(-0.340487\pi\) |
−0.519336 | + | 0.854570i | \(0.673821\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 181.356 | + | 314.119i | 0.391699 | + | 0.678442i | 0.992674 | − | 0.120826i | \(-0.0385542\pi\) |
−0.600975 | + | 0.799268i | \(0.705221\pi\) | |||||||
\(464\) | 11.9587 | − | 20.7130i | 0.0257730 | − | 0.0446402i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 16.0617 | + | 27.8197i | 0.0344672 | + | 0.0596989i | ||||
\(467\) | −359.265 | + | 207.422i | −0.769304 | + | 0.444158i | −0.832626 | − | 0.553835i | \(-0.813164\pi\) |
0.0633224 | + | 0.997993i | \(0.479830\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 275.575 | + | 21.1398i | 0.587579 | + | 0.0450742i | ||||
\(470\) | 410.612 | − | 711.201i | 0.873643 | − | 1.51319i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | − | 287.784i | − | 0.609712i | ||||||
\(473\) | −1401.80 | −2.96364 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 29.0963 | + | 16.7988i | 0.0612554 | + | 0.0353658i | ||||
\(476\) | 164.781 | + | 112.772i | 0.346180 | + | 0.236916i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −24.3660 | − | 42.2032i | −0.0509749 | − | 0.0882911i | ||||
\(479\) | 129.582 | − | 74.8144i | 0.270527 | − | 0.156189i | −0.358600 | − | 0.933491i | \(-0.616746\pi\) |
0.629127 | + | 0.777303i | \(0.283413\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 19.5272 | + | 11.2741i | 0.0405972 | + | 0.0234388i | ||||
\(482\) | −150.530 | + | 86.9084i | −0.312302 | + | 0.180308i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −183.750 | + | 318.265i | −0.379649 | + | 0.657571i | ||||
\(485\) | 324.186 | + | 561.507i | 0.668426 | + | 1.15775i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −46.3139 | + | 80.2181i | −0.0951004 | + | 0.164719i | −0.909651 | − | 0.415374i | \(-0.863651\pi\) |
0.814550 | + | 0.580093i | \(0.196984\pi\) | |||||||
\(488\) | 189.841i | 0.389019i | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −375.054 | − | 301.264i | −0.765416 | − | 0.614824i | ||||
\(491\) | 164.023 | + | 284.097i | 0.334060 | + | 0.578609i | 0.983304 | − | 0.181972i | \(-0.0582479\pi\) |
−0.649244 | + | 0.760580i | \(0.724915\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −73.8553 | + | 42.6403i | −0.149808 | + | 0.0864916i | ||||
\(494\) | 15.7734 | − | 27.3204i | 0.0319300 | − | 0.0553045i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | − | 65.8716i | − | 0.132806i | ||||||
\(497\) | −655.343 | − | 50.2725i | −1.31860 | − | 0.101152i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −83.8764 | + | 145.278i | −0.168089 | + | 0.291139i | −0.937748 | − | 0.347317i | \(-0.887093\pi\) |
0.769659 | + | 0.638455i | \(0.220426\pi\) | |||||||
\(500\) | − | 25.0815i | − | 0.0501630i | ||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | − | 89.6256i | − | 0.178537i | ||||||
\(503\) | − | 320.995i | − | 0.638161i | −0.947728 | − | 0.319080i | \(-0.896626\pi\) | ||
0.947728 | − | 0.319080i | \(-0.103374\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 975.693 | 1.93207 | ||||||||
\(506\) | 317.526 | 0.627522 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 491.380 | 0.967284 | ||||||||
\(509\) | −347.866 | − | 200.840i | −0.683429 | − | 0.394578i | 0.117716 | − | 0.993047i | \(-0.462443\pi\) |
−0.801146 | + | 0.598469i | \(0.795776\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −114.857 | − | 78.6047i | −0.224768 | − | 0.153825i | ||||
\(512\) | −22.6274 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −160.745 | − | 92.8061i | −0.312733 | − | 0.180557i | ||||
\(515\) | −125.328 | − | 217.075i | −0.243356 | − | 0.421505i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −1264.60 | + | 730.120i | −2.44604 | + | 1.41222i | ||||
\(518\) | −6.26618 | − | 13.0707i | −0.0120969 | − | 0.0252331i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 302.371 | 0.581483 | ||||||||
\(521\) | 807.871 | + | 466.425i | 1.55062 | + | 0.895249i | 0.998091 | + | 0.0617529i | \(0.0196691\pi\) |
0.552525 | + | 0.833496i | \(0.313664\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −631.376 | + | 364.525i | −1.20722 | + | 0.696989i | −0.962151 | − | 0.272517i | \(-0.912144\pi\) |
−0.245069 | + | 0.969506i | \(0.578810\pi\) | |||||||
\(524\) | −374.664 | − | 216.313i | −0.715008 | − | 0.412810i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −193.742 | − | 335.572i | −0.368331 | − | 0.637969i | ||||
\(527\) | −117.437 | + | 203.407i | −0.222841 | + | 0.385972i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 181.790 | + | 314.870i | 0.343649 | + | 0.595218i | ||||
\(530\) | 110.829 | − | 63.9870i | 0.209111 | − | 0.120730i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −18.2871 | + | 8.76696i | −0.0343743 | + | 0.0164793i | ||||
\(533\) | 94.1147 | − | 163.011i | 0.176575 | − | 0.305838i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | − | 157.760i | − | 0.294878i | ||||||
\(536\) | 111.676 | 0.208351 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −201.487 | − | 116.328i | −0.374511 | − | 0.216224i | ||||
\(539\) | 309.704 | + | 797.364i | 0.574590 | + | 1.47934i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 222.378 | + | 385.171i | 0.411051 | + | 0.711960i | 0.995005 | − | 0.0998261i | \(-0.0318286\pi\) |
−0.583954 | + | 0.811786i | \(0.698495\pi\) | |||||||
\(542\) | 88.1517 | − | 50.8944i | 0.162642 | − | 0.0939011i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 69.8720 | + | 40.3406i | 0.128441 | + | 0.0741555i | ||||
\(545\) | 942.019 | − | 543.875i | 1.72848 | − | 0.997936i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −32.0268 | + | 55.4721i | −0.0585500 | + | 0.101411i | −0.893815 | − | 0.448436i | \(-0.851981\pi\) |
0.835265 | + | 0.549848i | \(0.185314\pi\) | |||||||
\(548\) | −100.744 | − | 174.493i | −0.183839 | − | 0.318419i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 286.302 | − | 495.889i | 0.520549 | − | 0.901617i | ||||
\(551\) | − | 8.66151i | − | 0.0157196i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 856.984 | + | 65.7407i | 1.54970 | + | 0.118880i | ||||
\(554\) | 53.0453 | + | 91.8772i | 0.0957497 | + | 0.165843i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 304.822 | − | 175.989i | 0.548240 | − | 0.316527i | ||||
\(557\) | −321.689 | + | 557.182i | −0.577539 | + | 1.00033i | 0.418222 | + | 0.908345i | \(0.362654\pi\) |
−0.995761 | + | 0.0919818i | \(0.970680\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 1236.56i | − | 2.21209i | ||||||
\(560\) | −160.411 | − | 109.781i | −0.286449 | − | 0.196038i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 262.055 | − | 453.892i | 0.466290 | − | 0.807638i | ||||
\(563\) | − | 563.957i | − | 1.00170i | −0.865534 | − | 0.500850i | \(-0.833021\pi\) | ||
0.865534 | − | 0.500850i | \(-0.166979\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 922.620i | 1.63296i | ||||||||
\(566\) | − | 196.768i | − | 0.347647i | ||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −265.576 | −0.467564 | ||||||||
\(569\) | −608.965 | −1.07024 | −0.535118 | − | 0.844777i | \(-0.679733\pi\) | ||||
−0.535118 | + | 0.844777i | \(0.679733\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −706.133 | −1.23666 | −0.618330 | − | 0.785918i | \(-0.712191\pi\) | ||||
−0.618330 | + | 0.785918i | \(0.712191\pi\) | |||||||
\(572\) | −465.622 | − | 268.827i | −0.814025 | − | 0.469977i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −109.113 | + | 52.3094i | −0.190092 | + | 0.0911314i | ||||
\(575\) | −298.304 | −0.518790 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −774.773 | − | 447.315i | −1.34276 | − | 0.775243i | −0.355548 | − | 0.934658i | \(-0.615706\pi\) |
−0.987212 | + | 0.159415i | \(0.949039\pi\) | |||||||
\(578\) | 60.5138 | + | 104.813i | 0.104695 | + | 0.181337i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 71.8966 | − | 41.5095i | 0.123960 | − | 0.0715681i | ||||
\(581\) | 46.8088 | + | 32.0346i | 0.0805659 | + | 0.0551371i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −227.554 | −0.390315 | ||||||||
\(584\) | −48.7024 | − | 28.1183i | −0.0833945 | − | 0.0481479i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 126.483 | − | 73.0252i | 0.215842 | − | 0.124616i | ||||
\(587\) | −98.0159 | − | 56.5895i | −0.166978 | − | 0.0964046i | 0.414182 | − | 0.910194i | \(-0.364068\pi\) |
−0.581160 | + | 0.813789i | \(0.697401\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −11.9275 | − | 20.6590i | −0.0202504 | − | 0.0350747i | ||||
\(590\) | 499.460 | − | 865.090i | 0.846543 | − | 1.46625i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −2.92846 | − | 5.07224i | −0.00494672 | − | 0.00856797i | ||||
\(593\) | 416.988 | − | 240.748i | 0.703184 | − | 0.405983i | −0.105348 | − | 0.994435i | \(-0.533596\pi\) |
0.808532 | + | 0.588452i | \(0.200262\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 299.620 | + | 624.982i | 0.503563 | + | 1.05039i | ||||
\(596\) | −200.929 | + | 348.019i | −0.337129 | + | 0.583925i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 280.097i | 0.468390i | ||||||||
\(599\) | −181.833 | −0.303561 | −0.151781 | − | 0.988414i | \(-0.548501\pi\) | ||||
−0.151781 | + | 0.988414i | \(0.548501\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 873.672 | + | 504.415i | 1.45370 | + | 0.839292i | 0.998689 | − | 0.0511946i | \(-0.0163029\pi\) |
0.455008 | + | 0.890487i | \(0.349636\pi\) | |||||||
\(602\) | −448.955 | + | 656.010i | −0.745772 | + | 1.08972i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 236.955 | + | 410.418i | 0.392309 | + | 0.679500i | ||||
\(605\) | −1104.72 | + | 637.811i | −1.82599 | + | 1.05423i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 434.243 | + | 250.710i | 0.715392 | + | 0.413032i | 0.813054 | − | 0.582188i | \(-0.197803\pi\) |
−0.0976624 | + | 0.995220i | \(0.531137\pi\) | |||||||
\(608\) | −7.09653 | + | 4.09718i | −0.0116719 | + | 0.00673879i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −329.477 | + | 570.671i | −0.540127 | + | 0.935527i | ||||
\(611\) | −644.056 | − | 1115.54i | −1.05410 | − | 1.82576i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 212.902 | − | 368.757i | 0.347311 | − | 0.601561i | −0.638460 | − | 0.769655i | \(-0.720428\pi\) |
0.985771 | + | 0.168095i | \(0.0537614\pi\) | |||||||
\(614\) | 268.816i | 0.437811i | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 149.416 | + | 311.668i | 0.242558 | + | 0.505955i | ||||
\(617\) | 227.440 | + | 393.937i | 0.368622 | + | 0.638472i | 0.989350 | − | 0.145554i | \(-0.0464964\pi\) |
−0.620729 | + | 0.784026i | \(0.713163\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 433.600 | − | 250.339i | 0.700485 | − | 0.404425i | −0.107043 | − | 0.994254i | \(-0.534138\pi\) |
0.807528 | + | 0.589829i | \(0.200805\pi\) | |||||||
\(620\) | 114.323 | − | 198.013i | 0.184392 | − | 0.319375i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 219.766i | 0.353321i | ||||||||
\(623\) | −318.547 | + | 152.713i | −0.511311 | + | 0.245125i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 333.449 | − | 577.551i | 0.533519 | − | 0.924081i | ||||
\(626\) | 801.710i | 1.28069i | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 26.3107i | 0.0418960i | ||||||||
\(629\) | 20.8837i | 0.0332014i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 790.195 | 1.25229 | 0.626145 | − | 0.779706i | \(-0.284632\pi\) | ||||
0.626145 | + | 0.779706i | \(0.284632\pi\) | |||||||
\(632\) | 347.291 | 0.549511 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −270.691 | −0.426958 | ||||||||
\(635\) | 1477.11 | + | 852.810i | 2.32616 | + | 1.34301i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −703.373 | + | 273.197i | −1.10420 | + | 0.428881i | ||||
\(638\) | −147.618 | −0.231377 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −68.0190 | − | 39.2708i | −0.106280 | − | 0.0613606i | ||||
\(641\) | 186.447 | + | 322.936i | 0.290869 | + | 0.503800i | 0.974015 | − | 0.226481i | \(-0.0727223\pi\) |
−0.683146 | + | 0.730281i | \(0.739389\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −356.344 | + | 205.735i | −0.554190 | + | 0.319962i | −0.750810 | − | 0.660518i | \(-0.770337\pi\) |
0.196620 | + | 0.980480i | \(0.437003\pi\) | |||||||
\(644\) | 101.694 | − | 148.595i | 0.157910 | − | 0.230737i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 29.2181 | 0.0452293 | ||||||||
\(647\) | 508.421 | + | 293.537i | 0.785813 | + | 0.453689i | 0.838486 | − | 0.544923i | \(-0.183441\pi\) |
−0.0526736 | + | 0.998612i | \(0.516774\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −1538.24 | + | 888.103i | −2.37017 | + | 1.36842i | ||||
\(650\) | 437.435 | + | 252.553i | 0.672977 | + | 0.388544i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −183.089 | − | 317.120i | −0.280812 | − | 0.486380i | ||||
\(653\) | 283.053 | − | 490.263i | 0.433466 | − | 0.750786i | −0.563703 | − | 0.825978i | \(-0.690624\pi\) |
0.997169 | + | 0.0751921i | \(0.0239570\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −750.838 | − | 1300.49i | −1.14632 | − | 1.98548i | ||||
\(656\) | −42.3425 | + | 24.4465i | −0.0645466 | + | 0.0372660i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −63.3364 | + | 825.641i | −0.0962559 | + | 1.25477i | ||||
\(659\) | −368.775 | + | 638.738i | −0.559599 | + | 0.969253i | 0.437931 | + | 0.899008i | \(0.355711\pi\) |
−0.997530 | + | 0.0702447i | \(0.977622\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − | 1010.40i | − | 1.52859i | −0.644865 | − | 0.764297i | \(-0.723086\pi\) | ||
0.644865 | − | 0.764297i | \(-0.276914\pi\) | |||||||
\(662\) | −745.075 | −1.12549 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 19.8482 | + | 11.4594i | 0.0298919 | + | 0.0172581i | ||||
\(665\) | −70.1873 | − | 5.38419i | −0.105545 | − | 0.00809653i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 38.4518 | + | 66.6004i | 0.0576488 | + | 0.0998507i | ||||
\(668\) | 357.102 | − | 206.173i | 0.534584 | − | 0.308642i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 335.703 | + | 193.818i | 0.501049 | + | 0.289281i | ||||
\(671\) | 1014.73 | − | 585.852i | 1.51226 | − | 0.873103i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −78.3833 | + | 135.764i | −0.116468 | + | 0.201729i | −0.918366 | − | 0.395733i | \(-0.870491\pi\) |
0.801897 | + | 0.597462i | \(0.203824\pi\) | |||||||
\(674\) | 237.943 | + | 412.129i | 0.353031 | + | 0.611468i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 68.1386 | − | 118.020i | 0.100797 | − | 0.174585i | ||||
\(677\) | 238.466i | 0.352240i | 0.984369 | + | 0.176120i | \(0.0563547\pi\) | ||||
−0.984369 | + | 0.176120i | \(0.943645\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −539.525 | − | 369.236i | −0.794587 | − | 0.543794i | ||||
\(680\) | 140.025 | + | 242.531i | 0.205920 | + | 0.356663i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −352.092 | + | 203.280i | −0.516264 | + | 0.298065i | ||||
\(683\) | −324.836 | + | 562.632i | −0.475602 | + | 0.823766i | −0.999609 | − | 0.0279474i | \(-0.991103\pi\) |
0.524008 | + | 0.851713i | \(0.324436\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 699.379i | − | 1.02099i | ||||||
\(686\) | 472.336 | + | 110.438i | 0.688537 | + | 0.160988i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −160.600 | + | 278.167i | −0.233430 | + | 0.404312i | ||||
\(689\) | − | 200.731i | − | 0.291336i | ||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 499.800i | 0.723300i | 0.932314 | + | 0.361650i | \(0.117786\pi\) | ||||
−0.932314 | + | 0.361650i | \(0.882214\pi\) | |||||||
\(692\) | − | 366.898i | − | 0.530199i | ||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 262.799 | 0.378672 | ||||||||
\(695\) | 1221.74 | 1.75790 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 174.335 | 0.250121 | ||||||||
\(698\) | 307.950 | + | 177.795i | 0.441189 | + | 0.254721i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −140.370 | − | 292.801i | −0.200529 | − | 0.418287i | ||||
\(701\) | −142.184 | −0.202830 | −0.101415 | − | 0.994844i | \(-0.532337\pi\) | ||||
−0.101415 | + | 0.994844i | \(0.532337\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −1.83688 | − | 1.06052i | −0.00261291 | − | 0.00150856i | ||||
\(704\) | 69.8284 | + | 120.946i | 0.0991880 | + | 0.171799i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −93.8670 | + | 54.1941i | −0.132956 | + | 0.0767622i | ||||
\(707\) | −887.145 | + | 425.302i | −1.25480 | + | 0.601559i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −573.786 | −0.809289 | −0.404645 | − | 0.914474i | \(-0.632605\pi\) | ||||
−0.404645 | + | 0.914474i | \(0.632605\pi\) | |||||||
\(710\) | −798.334 | − | 460.918i | −1.12441 | − | 0.649181i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −123.616 | + | 71.3694i | −0.173617 | + | 0.100238i | ||||
\(713\) | 183.426 | + | 105.901i | 0.257260 | + | 0.148529i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −933.120 | − | 1616.21i | −1.30506 | − | 2.26044i | ||||
\(716\) | −39.5630 | + | 68.5251i | −0.0552556 | + | 0.0957055i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −334.747 | − | 579.799i | −0.466221 | − | 0.807519i | ||||
\(719\) | −161.137 | + | 93.0327i | −0.224113 | + | 0.129392i | −0.607853 | − | 0.794049i | \(-0.707969\pi\) |
0.383740 | + | 0.923441i | \(0.374636\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 208.577 | + | 142.744i | 0.289288 | + | 0.197981i | ||||
\(722\) | 253.782 | − | 439.563i | 0.351498 | − | 0.608813i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 7.35228i | 0.0101551i | ||||||||
\(725\) | 138.682 | 0.191286 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −47.5157 | − | 27.4332i | −0.0653587 | − | 0.0377348i | 0.466965 | − | 0.884276i | \(-0.345348\pi\) |
−0.532323 | + | 0.846541i | \(0.678681\pi\) | |||||||
\(728\) | −274.930 | + | 131.803i | −0.377651 | + | 0.181048i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −97.6010 | − | 169.050i | −0.133700 | − | 0.231575i | ||||
\(731\) | 991.842 | − | 572.640i | 1.35683 | − | 0.783365i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −319.740 | − | 184.602i | −0.436208 | − | 0.251845i | 0.265780 | − | 0.964034i | \(-0.414370\pi\) |
−0.701988 | + | 0.712189i | \(0.747704\pi\) | |||||||
\(734\) | 59.8948 | − | 34.5803i | 0.0816006 | − | 0.0471121i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 36.3779 | − | 63.0084i | 0.0494265 | − | 0.0856092i | ||||
\(737\) | −344.633 | − | 596.923i | −0.467617 | − | 0.809936i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −552.319 | + | 956.645i | −0.747387 | + | 1.29451i | 0.201684 | + | 0.979451i | \(0.435359\pi\) |
−0.949071 | + | 0.315062i | \(0.897975\pi\) | |||||||
\(740\) | − | 20.3298i | − | 0.0274727i | ||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −72.8787 | + | 106.490i | −0.0982193 | + | 0.143517i | ||||
\(743\) | 184.560 | + | 319.667i | 0.248398 | + | 0.430238i | 0.963082 | − | 0.269210i | \(-0.0867625\pi\) |
−0.714683 | + | 0.699448i | \(0.753429\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −1208.00 | + | 697.440i | −1.62148 | + | 0.936161i | ||||
\(746\) | 386.195 | − | 668.910i | 0.517688 | − | 0.896662i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | − | 497.966i | − | 0.665729i | ||||||
\(749\) | 68.7670 | + | 143.442i | 0.0918118 | + | 0.191512i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 327.659 | − | 567.522i | 0.436297 | − | 0.755689i | −0.561103 | − | 0.827746i | \(-0.689623\pi\) |
0.997401 | + | 0.0720568i | \(0.0229563\pi\) | |||||||
\(752\) | 334.589i | 0.444933i | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | − | 130.218i | − | 0.172702i | ||||||
\(755\) | 1644.98i | 2.17878i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 251.264 | 0.331921 | 0.165961 | − | 0.986132i | \(-0.446928\pi\) | ||||
0.165961 | + | 0.986132i | \(0.446928\pi\) | |||||||
\(758\) | −545.357 | −0.719468 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −28.4433 | −0.0374254 | ||||||||
\(761\) | 750.816 | + | 433.484i | 0.986617 | + | 0.569624i | 0.904261 | − | 0.426979i | \(-0.140422\pi\) |
0.0823559 | + | 0.996603i | \(0.473756\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −619.453 | + | 905.140i | −0.811865 | + | 1.18629i | ||||
\(764\) | 95.7559 | 0.125335 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −59.5488 | − | 34.3805i | −0.0777400 | − | 0.0448832i | ||||
\(767\) | −783.416 | − | 1356.92i | −1.02140 | − | 1.76912i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 40.8679 | − | 23.5951i | 0.0531442 | − | 0.0306828i | −0.473193 | − | 0.880959i | \(-0.656898\pi\) |
0.526337 | + | 0.850276i | \(0.323565\pi\) | |||||||
\(770\) | −91.7629 | + | 1196.20i | −0.119173 | + | 1.55351i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 116.974 | 0.151521 | ||||||||
\(773\) | 190.903 | + | 110.218i | 0.246963 | + | 0.142584i | 0.618373 | − | 0.785885i | \(-0.287792\pi\) |
−0.371410 | + | 0.928469i | \(0.621125\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 330.777 | − | 190.974i | 0.426810 | − | 0.246419i | ||||
\(776\) | −228.774 | − | 132.083i | −0.294811 | − | 0.170209i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −261.485 | − | 452.906i | −0.336099 | − | 0.582141i | ||||
\(779\) | −8.85312 | + | 15.3341i | −0.0113647 | + | 0.0196843i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 819.571 | + | 1419.54i | 1.04939 | + | 1.81759i | ||||
\(782\) | −224.665 | + | 129.711i | −0.287296 | + | 0.165870i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 193.707 | + | 29.8951i | 0.247075 | + | 0.0381315i | ||||
\(785\) | −45.6632 | + | 79.0910i | −0.0581697 | + | 0.100753i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 975.179i | 1.23911i | 0.784953 | + | 0.619555i | \(0.212687\pi\) | ||||
−0.784953 | + | 0.619555i | \(0.787313\pi\) | |||||||
\(788\) | 407.962 | 0.517718 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 1043.97 | + | 602.737i | 1.32148 | + | 0.762958i | ||||
\(791\) | −402.168 | − | 838.888i | −0.508429 | − | 1.06054i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 516.794 | + | 895.113i | 0.651694 | + | 1.12877i | ||||
\(794\) | −806.391 | + | 465.570i | −1.01561 | + | 0.586360i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −292.260 | − | 168.736i | −0.367161 | − | 0.211980i | ||||
\(797\) | −1053.12 | + | 608.022i | −1.32136 | + | 0.762888i | −0.983946 | − | 0.178468i | \(-0.942886\pi\) |
−0.337415 | + | 0.941356i | \(0.609553\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 596.513 | − | 1033.19i | 0.746574 | − | 1.29310i | ||||
\(800\) | −65.6012 | − | 113.625i | −0.0820015 | − | 0.142031i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −15.5228 | + | 26.8862i | −0.0193551 | + | 0.0335240i | ||||
\(803\) | 347.094i | 0.432246i | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 563.589 | − | 270.188i | 0.700111 | − | 0.335637i | ||||
\(806\) | −179.318 | − | 310.588i | −0.222479 | − | 0.385345i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −344.266 | + | 198.762i | −0.426072 | + | 0.245993i | ||||
\(809\) | −677.925 | + | 1174.20i | −0.837979 | + | 1.45142i | 0.0536018 | + | 0.998562i | \(0.482930\pi\) |
−0.891581 | + | 0.452861i | \(0.850404\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 838.233i | 1.03358i | 0.856112 | + | 0.516790i | \(0.172873\pi\) | ||||
−0.856112 | + | 0.516790i | \(0.827127\pi\) | |||||||
\(812\) | −47.2778 | + | 69.0819i | −0.0582238 | + | 0.0850762i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −18.0745 | + | 31.3059i | −0.0222045 | + | 0.0384594i | ||||
\(815\) | − | 1271.03i | − | 1.55955i | ||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 116.320i | 0.142375i | ||||||||
\(818\) | − | 324.789i | − | 0.397052i | ||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −169.711 | −0.206965 | ||||||||
\(821\) | −788.378 | −0.960265 | −0.480133 | − | 0.877196i | \(-0.659411\pi\) | ||||
−0.480133 | + | 0.877196i | \(0.659411\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 400.688 | 0.486863 | 0.243432 | − | 0.969918i | \(-0.421727\pi\) | ||||
0.243432 | + | 0.969918i | \(0.421727\pi\) | |||||||
\(824\) | 88.4424 | + | 51.0622i | 0.107333 | + | 0.0619687i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −77.0411 | + | 1004.29i | −0.0932701 | + | 1.21585i | ||||
\(827\) | 1250.02 | 1.51151 | 0.755757 | − | 0.654852i | \(-0.227269\pi\) | ||||
0.755757 | + | 0.654852i | \(0.227269\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 916.487 | + | 529.134i | 1.10553 | + | 0.638280i | 0.937669 | − | 0.347530i | \(-0.112980\pi\) |
0.167864 | + | 0.985810i | \(0.446313\pi\) | |||||||
\(830\) | 39.7764 | + | 68.8948i | 0.0479234 | + | 0.0830058i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −106.690 | + | 61.5972i | −0.128233 | + | 0.0740351i | ||||
\(833\) | −544.856 | − | 437.658i | −0.654089 | − | 0.525400i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 1431.29 | 1.71412 | ||||||||
\(836\) | 43.7999 | + | 25.2879i | 0.0523922 | + | 0.0302486i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 713.523 | − | 411.953i | 0.851460 | − | 0.491591i | ||||
\(839\) | −677.714 | − | 391.278i | −0.807764 | − | 0.466363i | 0.0384146 | − | 0.999262i | \(-0.487769\pi\) |
−0.846179 | + | 0.532899i | \(0.821103\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 402.624 | + | 697.365i | 0.478744 | + | 0.829209i | ||||
\(842\) | −44.2356 | + | 76.6184i | −0.0525364 | + | 0.0909957i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 48.7874 | + | 84.5022i | 0.0578050 | + | 0.100121i | ||||
\(845\) | 409.655 | − | 236.514i | 0.484799 | − | 0.279899i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 726.442 | − | 1061.47i | 0.857665 | − | 1.25321i | ||||
\(848\) | −26.0701 | + | 45.1547i | −0.0307430 | + | 0.0532485i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 467.821i | 0.550377i | ||||||||
\(851\) | 18.8322 | 0.0221295 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −72.1792 | − | 41.6727i | −0.0846180 | − | 0.0488542i | 0.457094 | − | 0.889418i | \(-0.348890\pi\) |
−0.541712 | + | 0.840564i | \(0.682224\pi\) | |||||||
\(854\) | 50.8214 | − | 662.499i | 0.0595099 | − | 0.775759i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 32.1378 | + | 55.6643i | 0.0375442 | + | 0.0650284i | ||||
\(857\) | 223.760 | − | 129.188i | 0.261097 | − | 0.150744i | −0.363738 | − | 0.931501i | \(-0.618500\pi\) |
0.624835 | + | 0.780757i | \(0.285166\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −343.478 | − | 198.307i | −0.399858 | − | 0.230858i | 0.286565 | − | 0.958061i | \(-0.407487\pi\) |
−0.686423 | + | 0.727203i | \(0.740820\pi\) | |||||||
\(860\) | −965.538 | + | 557.454i | −1.12272 | + | 0.648202i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −229.685 | + | 397.826i | −0.266456 | + | 0.461515i | ||||
\(863\) | −195.031 | − | 337.804i | −0.225992 | − | 0.391430i | 0.730624 | − | 0.682780i | \(-0.239229\pi\) |
−0.956617 | + | 0.291349i | \(0.905896\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 636.765 | − | 1102.91i | 0.736145 | − | 1.27504i | ||||
\(866\) | − | 314.218i | − | 0.362838i | ||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −17.6341 | + | 229.875i | −0.0203158 | + | 0.264833i | ||||
\(869\) | −1071.74 | − | 1856.31i | −1.23331 | − | 2.13615i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 526.559 | − | 304.009i | 0.604545 | − | 0.349034i | ||||
\(872\) | −221.590 | + | 383.805i | −0.254117 | + | 0.440143i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | − | 26.3480i | − | 0.0301465i | ||||||
\(875\) | −6.71444 | + | 87.5282i | −0.00767365 | + | 0.100032i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 198.926 | − | 344.551i | 0.226826 | − | 0.392874i | −0.730040 | − | 0.683405i | \(-0.760498\pi\) |
0.956866 | + | 0.290530i | \(0.0938318\pi\) | |||||||
\(878\) | 540.561i | 0.615673i | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 484.760i | 0.550863i | ||||||||
\(881\) | 845.162i | 0.959321i | 0.877454 | + | 0.479660i | \(0.159240\pi\) | ||||
−0.877454 | + | 0.479660i | \(0.840760\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 16.3649 | 0.0185333 | 0.00926666 | − | 0.999957i | \(-0.497050\pi\) | ||||
0.00926666 | + | 0.999957i | \(0.497050\pi\) | |||||||
\(884\) | 439.267 | 0.496908 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 26.0581 | 0.0294110 | ||||||||
\(887\) | 558.172 | + | 322.261i | 0.629281 | + | 0.363315i | 0.780473 | − | 0.625189i | \(-0.214978\pi\) |
−0.151193 | + | 0.988504i | \(0.548311\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −1714.79 | − | 131.545i | −1.92890 | − | 0.147969i | ||||
\(890\) | −495.458 | −0.556694 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 317.938 | + | 183.561i | 0.356432 | + | 0.205786i | ||||
\(893\) | 60.5846 | + | 104.936i | 0.0678439 | + | 0.117509i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −237.856 | + | 137.326i | −0.265761 | + | 0.153437i | ||||
\(896\) | 78.9640 | + | 6.05746i | 0.0881294 | + | 0.00676056i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 541.709 | 0.603239 | ||||||||
\(899\) | −85.2751 | − | 49.2336i | −0.0948555 | − | 0.0547649i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 161.005 | − | 92.9565i | 0.178696 | − | 0.103170i | ||||
\(902\) | 261.339 | + | 150.884i | 0.289733 | + | 0.167277i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −187.950 | − | 325.540i | −0.207910 | − | 0.360110i | ||||
\(905\) | −12.7602 | + | 22.1013i | −0.0140996 | + | 0.0244213i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −793.972 | − | 1375.20i | −0.875383 | − | 1.51621i | −0.856354 | − | 0.516389i | \(-0.827276\pi\) |
−0.0190283 | − | 0.999819i | \(-0.506057\pi\) | |||||||
\(908\) | 140.607 | − | 81.1795i | 0.154853 | − | 0.0894047i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −1055.20 | − | 80.9462i | −1.15956 | − | 0.0889519i | ||||
\(911\) | 752.842 | − | 1303.96i | 0.826391 | − | 1.43135i | −0.0744605 | − | 0.997224i | \(-0.523723\pi\) |
0.900852 | − | 0.434127i | \(-0.142943\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | − | 141.455i | − | 0.154934i | ||||||
\(914\) | −170.081 | −0.186084 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −352.728 | − | 203.648i | −0.385075 | − | 0.222323i | ||||
\(917\) | 1249.58 | + | 855.176i | 1.36268 | + | 0.932580i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −583.949 | − | 1011.43i | −0.635418 | − | 1.10058i | −0.986426 | − | 0.164204i | \(-0.947494\pi\) |
0.351008 | − | 0.936372i | \(-0.385839\pi\) | |||||||
\(920\) | 218.707 | − | 126.271i | 0.237725 | − | 0.137251i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 25.3765 | + | 14.6512i | 0.0275234 | + | 0.0158906i | ||||
\(923\) | −1252.21 | + | 722.962i | −1.35667 | + | 0.783275i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 16.9803 | − | 29.4108i | 0.0183571 | − | 0.0317954i | ||||
\(926\) | −256.477 | − | 444.231i | −0.276973 | − | 0.479731i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −16.9121 | + | 29.2927i | −0.0182243 | + | 0.0315654i | ||||
\(929\) | − | 598.256i | − | 0.643978i | −0.946743 | − | 0.321989i | \(-0.895649\pi\) | ||
0.946743 | − | 0.321989i | \(-0.104351\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 66.1644 | − | 25.6989i | 0.0710682 | − | 0.0276036i | ||||
\(932\) | −22.7147 | − | 39.3430i | −0.0243720 | − | 0.0422135i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 508.077 | − | 293.339i | 0.543980 | − | 0.314067i | ||||
\(935\) | 864.239 | − | 1496.91i | 0.924320 | − | 1.60097i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 56.5072i | − | 0.0603066i | −0.999545 | − | 0.0301533i | \(-0.990400\pi\) | ||
0.999545 | − | 0.0301533i | \(-0.00959954\pi\) | |||||||
\(938\) | −389.721 | − | 29.8962i | −0.415481 | − | 0.0318723i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −580.693 | + | 1005.79i | −0.617759 | + | 1.06999i | ||||
\(941\) | − | 1684.00i | − | 1.78958i | −0.446483 | − | 0.894792i | \(-0.647324\pi\) | ||
0.446483 | − | 0.894792i | \(-0.352676\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | − | 157.210i | − | 0.166712i | ||||||
\(944\) | 406.988i | 0.431131i | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 1982.45 | 2.09561 | ||||||||
\(947\) | 888.217 | 0.937927 | 0.468964 | − | 0.883218i | \(-0.344628\pi\) | ||||
0.468964 | + | 0.883218i | \(0.344628\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −306.179 | −0.322634 | ||||||||
\(950\) | −41.1484 | − | 23.7570i | −0.0433141 | − | 0.0250074i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −233.036 | − | 159.484i | −0.244786 | − | 0.167525i | ||||
\(953\) | 455.922 | 0.478407 | 0.239204 | − | 0.970969i | \(-0.423114\pi\) | ||||
0.239204 | + | 0.970969i | \(0.423114\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 287.846 | + | 166.188i | 0.301410 | + | 0.174019i | ||||
\(956\) | 34.4587 | + | 59.6843i | 0.0360447 | + | 0.0624313i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −183.257 | + | 105.804i | −0.191291 | + | 0.110442i | ||||
\(959\) | 304.858 | + | 635.907i | 0.317891 | + | 0.663094i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 689.808 | 0.717803 | ||||||||
\(962\) | −27.6157 | − | 15.9439i | −0.0287065 | − | 0.0165737i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 212.881 | − | 122.907i | 0.220831 | − | 0.127497i | ||||
\(965\) | 351.629 | + | 203.013i | 0.364382 | + | 0.210376i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −761.975 | − | 1319.78i | −0.787979 | − | 1.36482i | −0.927203 | − | 0.374558i | \(-0.877794\pi\) |
0.139225 | − | 0.990261i | \(-0.455539\pi\) | |||||||
\(968\) | 259.862 | − | 450.094i | 0.268452 | − | 0.464973i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −458.469 | − | 794.091i | −0.472648 | − | 0.818651i | ||||
\(971\) | 294.389 | − | 169.966i | 0.303182 | − | 0.175042i | −0.340690 | − | 0.940176i | \(-0.610661\pi\) |
0.643871 | + | 0.765134i | \(0.277327\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −1110.86 | + | 532.555i | −1.14169 | + | 0.547333i | ||||
\(974\) | 65.4978 | − | 113.445i | 0.0672462 | − | 0.116474i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | − | 268.476i | − | 0.275078i | ||||||
\(977\) | 452.332 | 0.462981 | 0.231490 | − | 0.972837i | \(-0.425640\pi\) | ||||
0.231490 | + | 0.972837i | \(0.425640\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 762.957 | + | 440.493i | 0.779323 | + | 0.449942i | ||||
\(980\) | 530.406 | + | 426.051i | 0.541231 | + | 0.434746i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −231.964 | − | 401.774i | −0.236216 | − | 0.409138i | ||||
\(983\) | −770.670 | + | 444.947i | −0.783998 | + | 0.452642i | −0.837845 | − | 0.545908i | \(-0.816185\pi\) |
0.0538472 | + | 0.998549i | \(0.482852\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 1226.35 | + | 708.033i | 1.24502 | + | 0.718815i | ||||
\(986\) | 104.447 | − | 60.3026i | 0.105930 | − | 0.0611588i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −22.3070 | + | 38.6369i | −0.0225779 | + | 0.0391062i | ||||
\(989\) | −516.389 | − | 894.412i | −0.522133 | − | 0.904360i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −152.141 | + | 263.517i | −0.153523 | + | 0.265910i | −0.932520 | − | 0.361118i | \(-0.882395\pi\) |
0.778997 | + | 0.627027i | \(0.215729\pi\) | |||||||
\(992\) | 93.1565i | 0.0939078i | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 926.795 | + | 71.0961i | 0.932389 | + | 0.0715252i | ||||
\(995\) | −585.697 | − | 1014.46i | −0.588640 | − | 1.01955i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 1582.27 | − | 913.526i | 1.58704 | − | 0.916275i | 0.593243 | − | 0.805023i | \(-0.297847\pi\) |
0.993792 | − | 0.111252i | \(-0.0354860\pi\) | |||||||
\(998\) | 118.619 | − | 205.454i | 0.118857 | − | 0.205866i | ||||
\(999\) | 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 | 378.3.p.a.73.7 | 32 | ||
3.2 | odd | 2 | 126.3.p.a.115.9 | yes | 32 | ||
7.5 | odd | 6 | 378.3.j.a.19.15 | 32 | |||
9.4 | even | 3 | 378.3.j.a.199.10 | 32 | |||
9.5 | odd | 6 | 126.3.j.a.31.3 | ✓ | 32 | ||
21.5 | even | 6 | 126.3.j.a.61.3 | yes | 32 | ||
63.5 | even | 6 | 126.3.p.a.103.9 | yes | 32 | ||
63.40 | odd | 6 | inner | 378.3.p.a.145.7 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
126.3.j.a.31.3 | ✓ | 32 | 9.5 | odd | 6 | ||
126.3.j.a.61.3 | yes | 32 | 21.5 | even | 6 | ||
126.3.p.a.103.9 | yes | 32 | 63.5 | even | 6 | ||
126.3.p.a.115.9 | yes | 32 | 3.2 | odd | 2 | ||
378.3.j.a.19.15 | 32 | 7.5 | odd | 6 | |||
378.3.j.a.199.10 | 32 | 9.4 | even | 3 | |||
378.3.p.a.73.7 | 32 | 1.1 | even | 1 | trivial | ||
378.3.p.a.145.7 | 32 | 63.40 | odd | 6 | inner |