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 | 145.7 | ||
Character | \(\chi\) | \(=\) | 378.145 |
Dual form | 378.3.p.a.73.7 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 | 0.241325 | − | 0.970444i | \(-0.422418\pi\) |
0.961092 | + | 0.276229i | \(0.0890847\pi\) | |||||||
\(6\) | 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 | −0.130280 | − | 0.991477i | \(-0.541588\pi\) |
0.923785 | − | 0.382913i | \(-0.125079\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −13.3362 | − | 7.69965i | −1.02586 | − | 0.592281i | −0.110065 | − | 0.993924i | \(-0.535106\pi\) |
−0.915796 | + | 0.401643i | \(0.868439\pi\) | |||||||
\(14\) | 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 | −0.817167 | − | 0.576401i | \(-0.804457\pi\) |
0.0905943 | + | 0.995888i | \(0.471123\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.25450 | + | 0.724286i | 0.0660264 | + | 0.0381203i | 0.532650 | − | 0.846336i | \(-0.321196\pi\) |
−0.466623 | + | 0.884456i | \(0.654530\pi\) | |||||||
\(20\) | 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 | 0.691686 | − | 0.722198i | \(-0.256868\pi\) |
−0.971285 | + | 0.237919i | \(0.923535\pi\) | |||||||
\(24\) | 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 | 0.912957 | − | 0.408056i | \(-0.133793\pi\) |
−0.809865 | + | 0.586616i | \(0.800460\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 16.4679i | 0.531223i | 0.964080 | + | 0.265611i | \(0.0855738\pi\) | ||||
−0.964080 | + | 0.265611i | \(0.914426\pi\) | |||||||
\(32\) | −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 | −0.875749 | − | 0.482766i | \(-0.839632\pi\) |
0.855962 | + | 0.517038i | \(0.172965\pi\) | |||||||
\(38\) | −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 | 0.365321 | − | 0.930882i | \(-0.380959\pi\) |
−0.623507 | + | 0.781818i | \(0.714293\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −40.1499 | − | 69.5416i | −0.933718 | − | 1.61725i | −0.776904 | − | 0.629619i | \(-0.783211\pi\) |
−0.156814 | − | 0.987628i | \(-0.550122\pi\) | |||||||
\(44\) | 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 | \(-0.650798\pi\) | ||
0.456223 | − | 0.889866i | \(-0.349202\pi\) | |||||||
\(48\) | 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 | 0.797966 | − | 0.602702i | \(-0.205909\pi\) |
−0.920938 | + | 0.389708i | \(0.872576\pi\) | |||||||
\(54\) | 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 | \(-0.669047\pi\) | ||
0.506462 | − | 0.862262i | \(-0.330953\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 67.1191i | 1.10031i | 0.835062 | + | 0.550156i | \(0.185432\pi\) | ||||
−0.835062 | + | 0.550156i | \(0.814568\pi\) | |||||||
\(62\) | − | 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 | −0.377404 | − | 0.926049i | \(-0.623183\pi\) |
0.613280 | + | 0.789866i | \(0.289850\pi\) | |||||||
\(74\) | 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 | −0.541678 | − | 0.840586i | \(-0.682211\pi\) |
0.457130 | + | 0.889400i | \(0.348877\pi\) | |||||||
\(84\) | 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 | 0.725016 | − | 0.688732i | \(-0.241832\pi\) |
−0.233952 | + | 0.972248i | \(0.575166\pi\) | |||||||
\(90\) | 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 | −0.0213173 | − | 0.999773i | \(-0.506786\pi\) |
0.855170 | + | 0.518348i | \(0.173453\pi\) | |||||||
\(98\) | −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 | 0.961688 | − | 0.274146i | \(-0.0883953\pi\) |
0.243426 | + | 0.969919i | \(0.421729\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −31.2691 | + | 18.0532i | −0.303584 | + | 0.175274i | −0.644052 | − | 0.764982i | \(-0.722748\pi\) |
0.340468 | + | 0.940256i | \(0.389414\pi\) | |||||||
\(104\) | 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 | −0.914224 | − | 0.405209i | \(-0.867199\pi\) |
0.808033 | + | 0.589137i | \(0.200532\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 78.3438 | + | 135.695i | 0.718751 | + | 1.24491i | 0.961495 | + | 0.274823i | \(0.0886191\pi\) |
−0.242744 | + | 0.970090i | \(0.578048\pi\) | |||||||
\(110\) | 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 | −0.406429 | − | 0.913682i | \(-0.633226\pi\) |
0.994487 | − | 0.104863i | \(-0.0334405\pi\) | |||||||
\(114\) | 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 | −0.997121 | − | 0.0758237i | \(-0.975841\pi\) |
−0.432895 | + | 0.901444i | \(0.642508\pi\) | |||||||
\(132\) | 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 | −0.989202 | − | 0.146558i | \(-0.953181\pi\) |
0.621524 | + | 0.783395i | \(0.286514\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 152.411 | + | 87.9944i | 1.09648 | + | 0.633054i | 0.935294 | − | 0.353870i | \(-0.115135\pi\) |
0.161187 | + | 0.986924i | \(0.448468\pi\) | |||||||
\(140\) | −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 | −0.976685 | − | 0.214677i | \(-0.931130\pi\) |
0.302427 | − | 0.953173i | \(-0.402203\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 118.477 | − | 205.209i | 0.784619 | − | 1.35900i | −0.144608 | − | 0.989489i | \(-0.546192\pi\) |
0.929227 | − | 0.369510i | \(-0.120474\pi\) | |||||||
\(152\) | −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 | \(-0.986660\pi\) | ||
0.999122 | − | 0.0418960i | \(-0.0133398\pi\) | |||||||
\(158\) | 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 | 0.435732 | + | 0.900077i | \(0.356490\pi\) |
−0.997355 | + | 0.0726836i | \(0.976844\pi\) | |||||||
\(164\) | −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 | 0.927954 | − | 0.372694i | \(-0.121566\pi\) |
0.141215 | + | 0.989979i | \(0.454899\pi\) | |||||||
\(168\) | 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 | \(0.177883\pi\) | ||||
−0.847873 | + | 0.530199i | \(0.822117\pi\) | |||||||
\(174\) | 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 | 0.805465 | − | 0.592643i | \(-0.201915\pi\) |
−0.915976 | + | 0.401232i | \(0.868582\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 3.67614i | − | 0.0203102i | −0.999948 | − | 0.0101551i | \(-0.996767\pi\) | ||
0.999948 | − | 0.0101551i | \(-0.00323252\pi\) | |||||||
\(182\) | −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 | −0.820001 | − | 0.572362i | \(-0.806027\pi\) |
0.0856795 | + | 0.996323i | \(0.472694\pi\) | |||||||
\(200\) | −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 | −0.802413 | − | 0.596768i | \(-0.796451\pi\) |
0.918023 | + | 0.396526i | \(0.129784\pi\) | |||||||
\(212\) | −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 | −0.0992560 | − | 0.995062i | \(-0.531646\pi\) |
0.812121 | + | 0.583489i | \(0.198313\pi\) | |||||||
\(224\) | 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 | 0.646795 | − | 0.762664i | \(-0.276109\pi\) |
−0.337088 | + | 0.941473i | \(0.609442\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −176.364 | + | 101.824i | −0.770149 | + | 0.444646i | −0.832928 | − | 0.553382i | \(-0.813337\pi\) |
0.0627785 | + | 0.998027i | \(0.480004\pi\) | |||||||
\(230\) | 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 | −0.889368 | − | 0.457192i | \(-0.848855\pi\) |
0.840624 | + | 0.541619i | \(0.182188\pi\) | |||||||
\(234\) | 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 | −0.827727 | − | 0.561130i | \(-0.810367\pi\) |
0.899817 | + | 0.436268i | \(0.143700\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 106.441 | + | 61.4535i | 0.441662 | + | 0.254994i | 0.704302 | − | 0.709900i | \(-0.251260\pi\) |
−0.262640 | + | 0.964894i | \(0.584593\pi\) | |||||||
\(242\) | 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 | \(-0.959708\pi\) | ||
0.991999 | − | 0.126245i | \(-0.0402925\pi\) | |||||||
\(252\) | 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 | −0.262289 | − | 0.964989i | \(-0.584477\pi\) |
0.704561 | + | 0.709644i | \(0.251144\pi\) | |||||||
\(258\) | 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 | −0.478805 | − | 0.877921i | \(-0.658930\pi\) |
0.999705 | − | 0.0243030i | \(-0.00773665\pi\) | |||||||
\(264\) | 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 | −0.211231 | − | 0.977436i | \(-0.567747\pi\) |
0.740869 | + | 0.671649i | \(0.234414\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −62.3327 | − | 35.9878i | −0.230010 | − | 0.132796i | 0.380567 | − | 0.924753i | \(-0.375729\pi\) |
−0.610577 | + | 0.791957i | \(0.709062\pi\) | |||||||
\(272\) | −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 | −0.925754 | − | 0.378126i | \(-0.876569\pi\) |
0.790344 | + | 0.612664i | \(0.209902\pi\) | |||||||
\(278\) | −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 | −0.980763 | − | 0.195205i | \(-0.937463\pi\) |
0.321329 | − | 0.946968i | \(-0.395870\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | − | 139.136i | − | 0.491648i | −0.969315 | − | 0.245824i | \(-0.920942\pi\) | ||
0.969315 | − | 0.245824i | \(-0.0790585\pi\) | |||||||
\(284\) | 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 | 0.339551 | − | 0.940588i | \(-0.389725\pi\) |
−0.644797 | + | 0.764354i | \(0.723058\pi\) | |||||||
\(294\) | 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 | \(0.100188\pi\) | ||||
−0.950874 | + | 0.309579i | \(0.899812\pi\) | |||||||
\(308\) | −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 | \(0.0803766\pi\) | ||||
−0.968288 | + | 0.249836i | \(0.919623\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 566.895i | 1.81117i | 0.424170 | + | 0.905583i | \(0.360566\pi\) | ||||
−0.424170 | + | 0.905583i | \(0.639434\pi\) | |||||||
\(314\) | 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 | −1.00000 | 0.000852644i | \(-0.999729\pi\) | |
0.500738 | + | 0.865599i | \(0.333062\pi\) | |||||||
\(338\) | −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 | −0.778400 | − | 0.627769i | \(-0.783968\pi\) |
0.154464 | + | 0.987998i | \(0.450635\pi\) | |||||||
\(350\) | 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 | 0.591059 | − | 0.806628i | \(-0.298710\pi\) |
−0.403031 | + | 0.915186i | \(0.632043\pi\) | |||||||
\(354\) | 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 | −0.321451 | − | 0.946926i | \(-0.604171\pi\) |
0.980788 | − | 0.195078i | \(-0.0624960\pi\) | |||||||
\(360\) | 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 | 0.441189 | − | 0.897414i | \(-0.354557\pi\) |
−0.556589 | + | 0.830788i | \(0.687890\pi\) | |||||||
\(368\) | −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 | −0.955975 | − | 0.293448i | \(-0.905197\pi\) |
0.223854 | − | 0.974623i | \(-0.428136\pi\) | |||||||
\(374\) | − | 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 | −0.444021 | − | 0.896016i | \(-0.646449\pi\) |
0.553962 | + | 0.832542i | \(0.313115\pi\) | |||||||
\(384\) | 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 | −0.524284 | − | 0.851543i | \(-0.675667\pi\) |
0.999600 | + | 0.0282716i | \(0.00900032\pi\) | |||||||
\(390\) | 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 | 0.997589 | − | 0.0693984i | \(-0.0221080\pi\) |
0.438694 | + | 0.898637i | \(0.355441\pi\) | |||||||
\(398\) | 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 | 0.879387 | − | 0.476108i | \(-0.157953\pi\) |
−0.852015 | + | 0.523518i | \(0.824619\pi\) | |||||||
\(402\) | 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 | \(-0.909414\pi\) | ||
0.959778 | − | 0.280758i | \(-0.0905860\pi\) | |||||||
\(410\) | 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 | −0.242672 | − | 0.970108i | \(-0.578024\pi\) |
−0.961474 | + | 0.274894i | \(0.911357\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 31.2793 | + | 54.1774i | 0.0742977 | + | 0.128687i | 0.900781 | − | 0.434274i | \(-0.142995\pi\) |
−0.826483 | + | 0.562962i | \(0.809662\pi\) | |||||||
\(422\) | −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 | 0.990598 | − | 0.136802i | \(-0.0436823\pi\) |
−0.613773 | + | 0.789483i | \(0.710349\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 222.186i | − | 0.513131i | −0.966527 | − | 0.256566i | \(-0.917409\pi\) | ||
0.966527 | − | 0.256566i | \(-0.0825909\pi\) | |||||||
\(434\) | 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 | \(0.143374\pi\) | ||||
−0.900263 | + | 0.435346i | \(0.856626\pi\) | |||||||
\(440\) | 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 | −0.519336 | − | 0.854570i | \(-0.673821\pi\) |
0.480412 | + | 0.877043i | \(0.340487\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 181.356 | − | 314.119i | 0.391699 | − | 0.678442i | −0.600975 | − | 0.799268i | \(-0.705221\pi\) |
0.992674 | + | 0.120826i | \(0.0385542\pi\) | |||||||
\(464\) | 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 | 0.0633224 | − | 0.997993i | \(-0.479830\pi\) |
−0.832626 | + | 0.553835i | \(0.813164\pi\) | |||||||
\(468\) | 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 | 0.629127 | − | 0.777303i | \(-0.283413\pi\) |
−0.358600 | + | 0.933491i | \(0.616746\pi\) | |||||||
\(480\) | 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 | 0.814550 | − | 0.580093i | \(-0.196984\pi\) |
−0.909651 | + | 0.415374i | \(0.863651\pi\) | |||||||
\(488\) | − | 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 | −0.649244 | − | 0.760580i | \(-0.724915\pi\) |
0.983304 | + | 0.181972i | \(0.0582479\pi\) | |||||||
\(492\) | 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 | 0.769659 | − | 0.638455i | \(-0.220426\pi\) |
−0.937748 | + | 0.347317i | \(0.887093\pi\) | |||||||
\(500\) | 25.0815i | 0.0501630i | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 89.6256i | 0.178537i | ||||||||
\(503\) | 320.995i | 0.638161i | 0.947728 | + | 0.319080i | \(0.103374\pi\) | ||||
−0.947728 | + | 0.319080i | \(0.896626\pi\) | |||||||
\(504\) | 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 | −0.801146 | − | 0.598469i | \(-0.795776\pi\) |
0.117716 | + | 0.993047i | \(0.462443\pi\) | |||||||
\(510\) | 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 | 0.552525 | − | 0.833496i | \(-0.313664\pi\) |
0.998091 | − | 0.0617529i | \(-0.0196691\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −631.376 | − | 364.525i | −1.20722 | − | 0.696989i | −0.245069 | − | 0.969506i | \(-0.578810\pi\) |
−0.962151 | + | 0.272517i | \(0.912144\pi\) | |||||||
\(524\) | −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 | −0.583954 | − | 0.811786i | \(-0.698495\pi\) |
0.995005 | + | 0.0998261i | \(0.0318286\pi\) | |||||||
\(542\) | 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 | 0.835265 | − | 0.549848i | \(-0.185314\pi\) |
−0.893815 | + | 0.448436i | \(0.851981\pi\) | |||||||
\(548\) | −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 | −0.995761 | − | 0.0919818i | \(-0.970680\pi\) |
0.418222 | − | 0.908345i | \(-0.362654\pi\) | |||||||
\(558\) | 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 | \(0.166979\pi\) | ||||
−0.865534 | + | 0.500850i | \(0.833021\pi\) | |||||||
\(564\) | 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 | −0.987212 | − | 0.159415i | \(-0.949039\pi\) |
−0.355548 | + | 0.934658i | \(0.615706\pi\) | |||||||
\(578\) | 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 | −0.581160 | − | 0.813789i | \(-0.697401\pi\) |
0.414182 | + | 0.910194i | \(0.364068\pi\) | |||||||
\(588\) | 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 | 0.808532 | − | 0.588452i | \(-0.200262\pi\) |
−0.105348 | + | 0.994435i | \(0.533596\pi\) | |||||||
\(594\) | 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 | 0.455008 | − | 0.890487i | \(-0.349636\pi\) |
0.998689 | + | 0.0511946i | \(0.0163029\pi\) | |||||||
\(602\) | −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 | −0.0976624 | − | 0.995220i | \(-0.531137\pi\) |
0.813054 | + | 0.582188i | \(0.197803\pi\) | |||||||
\(608\) | −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 | 0.985771 | − | 0.168095i | \(-0.0537614\pi\) |
−0.638460 | + | 0.769655i | \(0.720428\pi\) | |||||||
\(614\) | − | 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 | −0.620729 | − | 0.784026i | \(-0.713163\pi\) |
0.989350 | + | 0.145554i | \(0.0464964\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 433.600 | + | 250.339i | 0.700485 | + | 0.404425i | 0.807528 | − | 0.589829i | \(-0.200805\pi\) |
−0.107043 | + | 0.994254i | \(0.534138\pi\) | |||||||
\(620\) | 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 | −0.683146 | − | 0.730281i | \(-0.739389\pi\) |
0.974015 | + | 0.226481i | \(0.0727223\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −356.344 | − | 205.735i | −0.554190 | − | 0.319962i | 0.196620 | − | 0.980480i | \(-0.437003\pi\) |
−0.750810 | + | 0.660518i | \(0.770337\pi\) | |||||||
\(644\) | 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 | −0.0526736 | − | 0.998612i | \(-0.516774\pi\) |
0.838486 | + | 0.544923i | \(0.183441\pi\) | |||||||
\(648\) | 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 | 0.997169 | − | 0.0751921i | \(-0.0239570\pi\) |
−0.563703 | + | 0.825978i | \(0.690624\pi\) | |||||||
\(654\) | 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 | −0.997530 | − | 0.0702447i | \(-0.977622\pi\) |
0.437931 | − | 0.899008i | \(-0.355711\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 1010.40i | 1.52859i | 0.644865 | + | 0.764297i | \(0.276914\pi\) | ||||
−0.644865 | + | 0.764297i | \(0.723086\pi\) | |||||||
\(662\) | −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 | 0.801897 | − | 0.597462i | \(-0.203824\pi\) |
−0.918366 | + | 0.395733i | \(0.870491\pi\) | |||||||
\(674\) | 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 | \(-0.943645\pi\) | ||
0.984369 | − | 0.176120i | \(-0.0563547\pi\) | |||||||
\(678\) | 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 | 0.524008 | − | 0.851713i | \(-0.324436\pi\) |
−0.999609 | + | 0.0279474i | \(0.991103\pi\) | |||||||
\(684\) | 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 | \(-0.882214\pi\) | ||
0.932314 | − | 0.361650i | \(-0.117786\pi\) | |||||||
\(692\) | 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 | 0.383740 | − | 0.923441i | \(-0.374636\pi\) |
−0.607853 | + | 0.794049i | \(0.707969\pi\) | |||||||
\(720\) | 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 | −0.532323 | − | 0.846541i | \(-0.678681\pi\) |
0.466965 | + | 0.884276i | \(0.345348\pi\) | |||||||
\(728\) | −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 | −0.701988 | − | 0.712189i | \(-0.747704\pi\) |
0.265780 | + | 0.964034i | \(0.414370\pi\) | |||||||
\(734\) | 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 | −0.949071 | − | 0.315062i | \(-0.897975\pi\) |
0.201684 | − | 0.979451i | \(-0.435359\pi\) | |||||||
\(740\) | 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 | −0.714683 | − | 0.699448i | \(-0.753429\pi\) |
0.963082 | + | 0.269210i | \(0.0867625\pi\) | |||||||
\(744\) | 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 | 0.997401 | − | 0.0720568i | \(-0.0229563\pi\) |
−0.561103 | + | 0.827746i | \(0.689623\pi\) | |||||||
\(752\) | − | 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 | 0.0823559 | − | 0.996603i | \(-0.473756\pi\) |
0.904261 | + | 0.426979i | \(0.140422\pi\) | |||||||
\(762\) | 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 | 0.526337 | − | 0.850276i | \(-0.323565\pi\) |
−0.473193 | + | 0.880959i | \(0.656898\pi\) | |||||||
\(770\) | −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 | −0.371410 | − | 0.928469i | \(-0.621125\pi\) |
0.618373 | + | 0.785885i | \(0.287792\pi\) | |||||||
\(774\) | 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 | \(-0.787313\pi\) | ||
0.784953 | − | 0.619555i | \(-0.212687\pi\) | |||||||
\(788\) | 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 | −0.337415 | − | 0.941356i | \(-0.609553\pi\) |
−0.983946 | + | 0.178468i | \(0.942886\pi\) | |||||||
\(798\) | 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 | −0.891581 | − | 0.452861i | \(-0.850404\pi\) |
0.0536018 | − | 0.998562i | \(-0.482930\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 838.233i | − | 1.03358i | −0.856112 | − | 0.516790i | \(-0.827127\pi\) | ||
0.856112 | − | 0.516790i | \(-0.172873\pi\) | |||||||
\(812\) | −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 | 0.167864 | − | 0.985810i | \(-0.446313\pi\) |
0.937669 | + | 0.347530i | \(0.112980\pi\) | |||||||
\(830\) | 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 | −0.846179 | − | 0.532899i | \(-0.821103\pi\) |
0.0384146 | + | 0.999262i | \(0.487769\pi\) | |||||||
\(840\) | 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 | −0.541712 | − | 0.840564i | \(-0.682224\pi\) |
0.457094 | + | 0.889418i | \(0.348890\pi\) | |||||||
\(854\) | 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 | 0.624835 | − | 0.780757i | \(-0.285166\pi\) |
−0.363738 | + | 0.931501i | \(0.618500\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −343.478 | + | 198.307i | −0.399858 | + | 0.230858i | −0.686423 | − | 0.727203i | \(-0.740820\pi\) |
0.286565 | + | 0.958061i | \(0.407487\pi\) | |||||||
\(860\) | −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 | −0.956617 | − | 0.291349i | \(-0.905896\pi\) |
0.730624 | + | 0.682780i | \(0.239229\pi\) | |||||||
\(864\) | 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 | 0.956866 | − | 0.290530i | \(-0.0938318\pi\) |
−0.730040 | + | 0.683405i | \(0.760498\pi\) | |||||||
\(878\) | − | 540.561i | − | 0.615673i | ||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | − | 484.760i | − | 0.550863i | ||||||
\(881\) | − | 845.162i | − | 0.959321i | −0.877454 | − | 0.479660i | \(-0.840760\pi\) | ||
0.877454 | − | 0.479660i | \(-0.159240\pi\) | |||||||
\(882\) | 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 | −0.151193 | − | 0.988504i | \(-0.548311\pi\) |
0.780473 | + | 0.625189i | \(0.214978\pi\) | |||||||
\(888\) | 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 | −0.0190283 | + | 0.999819i | \(0.506057\pi\) |
−0.856354 | + | 0.516389i | \(0.827276\pi\) | |||||||
\(908\) | 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 | 0.900852 | + | 0.434127i | \(0.142943\pi\) |
−0.0744605 | + | 0.997224i | \(0.523723\pi\) | |||||||
\(912\) | 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 | 0.351008 | + | 0.936372i | \(0.385839\pi\) |
−0.986426 | + | 0.164204i | \(0.947494\pi\) | |||||||
\(920\) | 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 | \(0.104351\pi\) | ||||
−0.946743 | + | 0.321989i | \(0.895649\pi\) | |||||||
\(930\) | 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 | \(0.00959954\pi\) | ||||
−0.999545 | + | 0.0301533i | \(0.990400\pi\) | |||||||
\(938\) | −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 | \(0.352676\pi\) | ||||
−0.446483 | + | 0.894792i | \(0.647324\pi\) | |||||||
\(942\) | 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 | 0.139225 | + | 0.990261i | \(0.455539\pi\) |
−0.927203 | + | 0.374558i | \(0.877794\pi\) | |||||||
\(968\) | 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 | 0.643871 | − | 0.765134i | \(-0.277327\pi\) |
−0.340690 | + | 0.940176i | \(0.610661\pi\) | |||||||
\(972\) | 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 | 0.0538472 | − | 0.998549i | \(-0.482852\pi\) |
−0.837845 | + | 0.545908i | \(0.816185\pi\) | |||||||
\(984\) | 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 | 0.778997 | − | 0.627027i | \(-0.215729\pi\) |
−0.932520 | + | 0.361118i | \(0.882395\pi\) | |||||||
\(992\) | − | 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 | 0.993792 | + | 0.111252i | \(0.0354860\pi\) |
0.593243 | + | 0.805023i | \(0.297847\pi\) | |||||||
\(998\) | 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.145.7 | 32 | ||
3.2 | odd | 2 | 126.3.p.a.103.9 | yes | 32 | ||
7.3 | odd | 6 | 378.3.j.a.199.10 | 32 | |||
9.2 | odd | 6 | 126.3.j.a.61.3 | yes | 32 | ||
9.7 | even | 3 | 378.3.j.a.19.15 | 32 | |||
21.17 | even | 6 | 126.3.j.a.31.3 | ✓ | 32 | ||
63.38 | even | 6 | 126.3.p.a.115.9 | yes | 32 | ||
63.52 | odd | 6 | inner | 378.3.p.a.73.7 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
126.3.j.a.31.3 | ✓ | 32 | 21.17 | even | 6 | ||
126.3.j.a.61.3 | yes | 32 | 9.2 | odd | 6 | ||
126.3.p.a.103.9 | yes | 32 | 3.2 | odd | 2 | ||
126.3.p.a.115.9 | yes | 32 | 63.38 | even | 6 | ||
378.3.j.a.19.15 | 32 | 9.7 | even | 3 | |||
378.3.j.a.199.10 | 32 | 7.3 | odd | 6 | |||
378.3.p.a.73.7 | 32 | 63.52 | odd | 6 | inner | ||
378.3.p.a.145.7 | 32 | 1.1 | even | 1 | trivial |