Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [33,6,Mod(2,33)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(33, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 1]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("33.2");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 33 = 3 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 33.f (of order \(10\), degree \(4\), 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: | \(5.29266605383\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 17.2 | ||
Character | \(\chi\) | \(=\) | 33.17 |
Dual form | 33.6.f.a.2.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{9}{10}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.95379 | − | 9.09083i | −0.522161 | − | 1.60705i | −0.769862 | − | 0.638211i | \(-0.779675\pi\) |
0.247700 | − | 0.968837i | \(-0.420325\pi\) | |||||||
\(3\) | 10.1153 | + | 11.8609i | 0.648898 | + | 0.760876i | ||||
\(4\) | −48.0298 | + | 34.8957i | −1.50093 | + | 1.09049i | ||||
\(5\) | 91.6682 | + | 29.7848i | 1.63981 | + | 0.532807i | 0.976496 | − | 0.215534i | \(-0.0691492\pi\) |
0.663315 | + | 0.748341i | \(0.269149\pi\) | |||||||
\(6\) | 77.9468 | − | 126.991i | 0.883934 | − | 1.44011i | ||||
\(7\) | 70.5766 | + | 97.1403i | 0.544397 | + | 0.749298i | 0.989239 | − | 0.146311i | \(-0.0467401\pi\) |
−0.444842 | + | 0.895609i | \(0.646740\pi\) | |||||||
\(8\) | 211.641 | + | 153.766i | 1.16916 | + | 0.849448i | ||||
\(9\) | −38.3609 | + | 239.953i | −0.157864 | + | 0.987461i | ||||
\(10\) | − | 921.319i | − | 2.91347i | ||||||
\(11\) | −277.875 | − | 289.545i | −0.692417 | − | 0.721498i | ||||
\(12\) | −899.731 | − | 216.695i | −1.80368 | − | 0.434406i | ||||
\(13\) | 390.347 | − | 126.831i | 0.640608 | − | 0.208146i | 0.0293397 | − | 0.999569i | \(-0.490660\pi\) |
0.611269 | + | 0.791423i | \(0.290660\pi\) | |||||||
\(14\) | 674.618 | − | 928.532i | 0.919894 | − | 1.26613i | ||||
\(15\) | 573.979 | + | 1388.55i | 0.658670 | + | 1.59343i | ||||
\(16\) | 185.656 | − | 571.392i | 0.181305 | − | 0.558000i | ||||
\(17\) | −39.0029 | + | 120.038i | −0.0327321 | + | 0.100739i | −0.966088 | − | 0.258214i | \(-0.916866\pi\) |
0.933356 | + | 0.358953i | \(0.116866\pi\) | |||||||
\(18\) | 2294.68 | − | 360.039i | 1.66933 | − | 0.261920i | ||||
\(19\) | 1063.98 | − | 1464.45i | 0.676163 | − | 0.930658i | −0.323717 | − | 0.946154i | \(-0.604933\pi\) |
0.999880 | + | 0.0154955i | \(0.00493256\pi\) | |||||||
\(20\) | −5442.17 | + | 1768.27i | −3.04227 | + | 0.988492i | ||||
\(21\) | −438.265 | + | 1819.70i | −0.216865 | + | 0.900436i | ||||
\(22\) | −1811.43 | + | 3381.37i | −0.797928 | + | 1.48948i | ||||
\(23\) | 379.653i | 0.149647i | 0.997197 | + | 0.0748234i | \(0.0238393\pi\) | ||||
−0.997197 | + | 0.0748234i | \(0.976161\pi\) | |||||||
\(24\) | 317.013 | + | 4065.65i | 0.112344 | + | 1.44079i | ||||
\(25\) | 4987.75 | + | 3623.81i | 1.59608 | + | 1.15962i | ||||
\(26\) | −2306.01 | − | 3173.95i | −0.669002 | − | 0.920802i | ||||
\(27\) | −3234.09 | + | 1972.21i | −0.853772 | + | 0.520646i | ||||
\(28\) | −6779.56 | − | 2202.81i | −1.63421 | − | 0.530986i | ||||
\(29\) | −582.330 | + | 423.088i | −0.128580 | + | 0.0934190i | −0.650217 | − | 0.759749i | \(-0.725322\pi\) |
0.521636 | + | 0.853168i | \(0.325322\pi\) | |||||||
\(30\) | 10927.6 | − | 9319.43i | 2.21679 | − | 1.89054i | ||||
\(31\) | −2348.72 | − | 7228.62i | −0.438963 | − | 1.35099i | −0.888971 | − | 0.457963i | \(-0.848579\pi\) |
0.450008 | − | 0.893024i | \(-0.351421\pi\) | |||||||
\(32\) | 2628.48 | 0.453764 | ||||||||
\(33\) | 623.472 | − | 6224.68i | 0.0996626 | − | 0.995021i | ||||
\(34\) | 1206.46 | 0.178984 | ||||||||
\(35\) | 3576.32 | + | 11006.8i | 0.493477 | + | 1.51876i | ||||
\(36\) | −6530.87 | − | 12863.5i | −0.839875 | − | 1.65426i | ||||
\(37\) | −9263.80 | + | 6730.55i | −1.11246 | + | 0.808251i | −0.983049 | − | 0.183340i | \(-0.941309\pi\) |
−0.129412 | + | 0.991591i | \(0.541309\pi\) | |||||||
\(38\) | −16455.9 | − | 5346.83i | −1.84868 | − | 0.600672i | ||||
\(39\) | 5452.81 | + | 3346.92i | 0.574063 | + | 0.352358i | ||||
\(40\) | 14820.9 | + | 20399.2i | 1.46462 | + | 2.01587i | ||||
\(41\) | −6792.51 | − | 4935.05i | −0.631060 | − | 0.458492i | 0.225707 | − | 0.974195i | \(-0.427531\pi\) |
−0.856767 | + | 0.515703i | \(0.827531\pi\) | |||||||
\(42\) | 17837.2 | − | 1390.83i | 1.56028 | − | 0.121661i | ||||
\(43\) | − | 7794.19i | − | 0.642835i | −0.946938 | − | 0.321418i | \(-0.895841\pi\) | ||
0.946938 | − | 0.321418i | \(-0.104159\pi\) | |||||||
\(44\) | 23450.2 | + | 4210.18i | 1.82606 | + | 0.327845i | ||||
\(45\) | −10663.4 | + | 20853.5i | −0.784993 | + | 1.53514i | ||||
\(46\) | 3451.36 | − | 1121.42i | 0.240490 | − | 0.0781398i | ||||
\(47\) | 1576.98 | − | 2170.53i | 0.104131 | − | 0.143325i | −0.753771 | − | 0.657137i | \(-0.771767\pi\) |
0.857903 | + | 0.513812i | \(0.171767\pi\) | |||||||
\(48\) | 8655.18 | − | 3577.76i | 0.542217 | − | 0.224134i | ||||
\(49\) | 738.460 | − | 2272.75i | 0.0439376 | − | 0.135226i | ||||
\(50\) | 18210.7 | − | 56046.8i | 1.03015 | − | 3.17048i | ||||
\(51\) | −1818.29 | + | 751.618i | −0.0978897 | + | 0.0404643i | ||||
\(52\) | −14322.4 | + | 19713.1i | −0.734528 | + | 1.01099i | ||||
\(53\) | −25601.9 | + | 8318.56i | −1.25194 | + | 0.406779i | −0.858615 | − | 0.512622i | \(-0.828674\pi\) |
−0.393322 | + | 0.919401i | \(0.628674\pi\) | |||||||
\(54\) | 27481.8 | + | 23575.1i | 1.28251 | + | 1.10019i | ||||
\(55\) | −16848.2 | − | 34818.6i | −0.751014 | − | 1.55204i | ||||
\(56\) | 31411.2i | 1.33849i | ||||||||
\(57\) | 28132.2 | − | 2193.57i | 1.14688 | − | 0.0894261i | ||||
\(58\) | 5566.30 | + | 4044.16i | 0.217269 | + | 0.157855i | ||||
\(59\) | 7740.08 | + | 10653.3i | 0.289478 | + | 0.398432i | 0.928844 | − | 0.370470i | \(-0.120803\pi\) |
−0.639367 | + | 0.768902i | \(0.720803\pi\) | |||||||
\(60\) | −76022.5 | − | 46662.4i | −2.72624 | − | 1.67336i | ||||
\(61\) | −5205.04 | − | 1691.22i | −0.179102 | − | 0.0581937i | 0.218093 | − | 0.975928i | \(-0.430016\pi\) |
−0.397195 | + | 0.917734i | \(0.630016\pi\) | |||||||
\(62\) | −58776.6 | + | 42703.7i | −1.94189 | + | 1.41087i | ||||
\(63\) | −26016.5 | + | 13208.7i | −0.825843 | + | 0.419284i | ||||
\(64\) | −13705.0 | − | 42179.6i | −0.418243 | − | 1.28722i | ||||
\(65\) | 39560.1 | 1.16138 | ||||||||
\(66\) | −58429.2 | + | 12718.5i | −1.65109 | + | 0.359399i | ||||
\(67\) | 47737.6 | 1.29919 | 0.649597 | − | 0.760279i | \(-0.274938\pi\) | ||||
0.649597 | + | 0.760279i | \(0.274938\pi\) | |||||||
\(68\) | −2315.53 | − | 7126.46i | −0.0607264 | − | 0.186897i | ||||
\(69\) | −4503.02 | + | 3840.31i | −0.113863 | + | 0.0971055i | ||||
\(70\) | 89497.2 | − | 65023.5i | 2.18305 | − | 1.58608i | ||||
\(71\) | 8273.65 | + | 2688.27i | 0.194783 | + | 0.0632889i | 0.404784 | − | 0.914412i | \(-0.367347\pi\) |
−0.210001 | + | 0.977701i | \(0.567347\pi\) | |||||||
\(72\) | −45015.5 | + | 44885.4i | −1.02336 | + | 1.02041i | ||||
\(73\) | −8641.33 | − | 11893.8i | −0.189790 | − | 0.261224i | 0.703509 | − | 0.710686i | \(-0.251615\pi\) |
−0.893299 | + | 0.449463i | \(0.851615\pi\) | |||||||
\(74\) | 88549.6 | + | 64335.1i | 1.87978 | + | 1.36574i | ||||
\(75\) | 7471.05 | + | 95815.1i | 0.153366 | + | 1.96689i | ||||
\(76\) | 107466.i | 2.13421i | ||||||||
\(77\) | 8515.08 | − | 47428.0i | 0.163667 | − | 0.911607i | ||||
\(78\) | 14319.8 | − | 59456.7i | 0.266502 | − | 1.10653i | ||||
\(79\) | −54109.7 | + | 17581.3i | −0.975455 | + | 0.316945i | −0.753016 | − | 0.658002i | \(-0.771402\pi\) |
−0.222439 | + | 0.974947i | \(0.571402\pi\) | |||||||
\(80\) | 34037.6 | − | 46848.7i | 0.594612 | − | 0.818413i | ||||
\(81\) | −56105.9 | − | 18409.6i | −0.950158 | − | 0.311768i | ||||
\(82\) | −24800.0 | + | 76326.7i | −0.407303 | + | 1.25355i | ||||
\(83\) | 15446.3 | − | 47538.8i | 0.246110 | − | 0.757448i | −0.749342 | − | 0.662183i | \(-0.769630\pi\) |
0.995452 | − | 0.0952652i | \(-0.0303699\pi\) | |||||||
\(84\) | −42450.1 | − | 102694.i | −0.656418 | − | 1.58798i | ||||
\(85\) | −7150.65 | + | 9842.02i | −0.107349 | + | 0.147753i | ||||
\(86\) | −70855.7 | + | 23022.4i | −1.03307 | + | 0.335664i | ||||
\(87\) | −10908.6 | − | 2627.28i | −0.154516 | − | 0.0372142i | ||||
\(88\) | −14287.4 | − | 104008.i | −0.196674 | − | 1.43172i | ||||
\(89\) | 69906.5i | 0.935498i | 0.883861 | + | 0.467749i | \(0.154935\pi\) | ||||
−0.883861 | + | 0.467749i | \(0.845065\pi\) | |||||||
\(90\) | 221073. | + | 35342.6i | 2.87693 | + | 0.459930i | ||||
\(91\) | 39869.8 | + | 28967.1i | 0.504708 | + | 0.366692i | ||||
\(92\) | −13248.3 | − | 18234.7i | −0.163189 | − | 0.224610i | ||||
\(93\) | 61979.8 | − | 100978.i | 0.743092 | − | 1.21065i | ||||
\(94\) | −24390.0 | − | 7924.78i | −0.284703 | − | 0.0925055i | ||||
\(95\) | 141152. | − | 102553.i | 1.60464 | − | 1.16584i | ||||
\(96\) | 26587.9 | + | 31176.1i | 0.294447 | + | 0.345258i | ||||
\(97\) | −5484.25 | − | 16878.8i | −0.0591818 | − | 0.182143i | 0.917095 | − | 0.398668i | \(-0.130528\pi\) |
−0.976277 | + | 0.216526i | \(0.930528\pi\) | |||||||
\(98\) | −22842.4 | −0.240257 | ||||||||
\(99\) | 80136.8 | − | 55569.7i | 0.821758 | − | 0.569836i | ||||
\(100\) | −366016. | −3.66016 | ||||||||
\(101\) | −15886.0 | − | 48892.0i | −0.154957 | − | 0.476908i | 0.843200 | − | 0.537600i | \(-0.180669\pi\) |
−0.998157 | + | 0.0606925i | \(0.980669\pi\) | |||||||
\(102\) | 12203.7 | + | 14309.6i | 0.116142 | + | 0.136185i | ||||
\(103\) | 121685. | − | 88409.1i | 1.13017 | − | 0.821115i | 0.144448 | − | 0.989512i | \(-0.453859\pi\) |
0.985719 | + | 0.168397i | \(0.0538592\pi\) | |||||||
\(104\) | 102116. | + | 33179.5i | 0.925786 | + | 0.300806i | ||||
\(105\) | −94374.6 | + | 153755.i | −0.835376 | + | 1.36100i | ||||
\(106\) | 151245. | + | 208171.i | 1.30743 | + | 1.79952i | ||||
\(107\) | −114518. | − | 83202.4i | −0.966975 | − | 0.702549i | −0.0122150 | − | 0.999925i | \(-0.503888\pi\) |
−0.954760 | + | 0.297377i | \(0.903888\pi\) | |||||||
\(108\) | 86511.1 | − | 207581.i | 0.713694 | − | 1.71249i | ||||
\(109\) | 20912.8i | 0.168595i | 0.996441 | + | 0.0842976i | \(0.0268646\pi\) | ||||
−0.996441 | + | 0.0842976i | \(0.973135\pi\) | |||||||
\(110\) | −266764. | + | 256011.i | −2.10206 | + | 2.01733i | ||||
\(111\) | −173536. | − | 41795.2i | −1.33685 | − | 0.321973i | ||||
\(112\) | 68608.1 | − | 22292.1i | 0.516810 | − | 0.167922i | ||||
\(113\) | 54553.6 | − | 75086.6i | 0.401909 | − | 0.553180i | −0.559313 | − | 0.828957i | \(-0.688935\pi\) |
0.961222 | + | 0.275777i | \(0.0889350\pi\) | |||||||
\(114\) | −103038. | − | 249266.i | −0.742566 | − | 1.79639i | ||||
\(115\) | −11307.9 | + | 34802.1i | −0.0797328 | + | 0.245392i | ||||
\(116\) | 13205.3 | − | 40641.7i | 0.0911177 | − | 0.280431i | ||||
\(117\) | 15459.5 | + | 98530.3i | 0.104407 | + | 0.665434i | ||||
\(118\) | 73984.8 | − | 101831.i | 0.489145 | − | 0.673251i | ||||
\(119\) | −14413.3 | + | 4683.15i | −0.0933028 | + | 0.0303159i | ||||
\(120\) | −92034.5 | + | 382133.i | −0.583442 | + | 2.42249i | ||||
\(121\) | −6622.12 | + | 160915.i | −0.0411182 | + | 0.999154i | ||||
\(122\) | 52313.7i | 0.318212i | ||||||||
\(123\) | −10174.4 | − | 130485.i | −0.0606380 | − | 0.777673i | ||||
\(124\) | 365057. | + | 265229.i | 2.13209 | + | 1.54906i | ||||
\(125\) | 172240. | + | 237067.i | 0.985957 | + | 1.35705i | ||||
\(126\) | 196925. | + | 197496.i | 1.10503 | + | 1.10823i | ||||
\(127\) | −333795. | − | 108457.i | −1.83641 | − | 0.596687i | −0.998722 | − | 0.0505444i | \(-0.983904\pi\) |
−0.837692 | − | 0.546143i | \(-0.816096\pi\) | |||||||
\(128\) | −274919. | + | 199740.i | −1.48313 | + | 1.07756i | ||||
\(129\) | 92445.9 | − | 78840.6i | 0.489118 | − | 0.417134i | ||||
\(130\) | −116852. | − | 359634.i | −0.606427 | − | 1.86639i | ||||
\(131\) | −11791.4 | −0.0600328 | −0.0300164 | − | 0.999549i | \(-0.509556\pi\) | ||||
−0.0300164 | + | 0.999549i | \(0.509556\pi\) | |||||||
\(132\) | 187270. | + | 320727.i | 0.935475 | + | 1.60214i | ||||
\(133\) | 217349. | 1.06544 | ||||||||
\(134\) | −141007. | − | 433975.i | −0.678389 | − | 2.08787i | ||||
\(135\) | −355205. | + | 84462.0i | −1.67743 | + | 0.398866i | ||||
\(136\) | −26712.5 | + | 19407.8i | −0.123842 | + | 0.0899764i | ||||
\(137\) | 229704. | + | 74635.5i | 1.04561 | + | 0.339738i | 0.780942 | − | 0.624603i | \(-0.214739\pi\) |
0.264663 | + | 0.964341i | \(0.414739\pi\) | |||||||
\(138\) | 48212.6 | + | 29592.7i | 0.215508 | + | 0.132278i | ||||
\(139\) | −127049. | − | 174867.i | −0.557741 | − | 0.767665i | 0.433296 | − | 0.901252i | \(-0.357351\pi\) |
−0.991037 | + | 0.133587i | \(0.957351\pi\) | |||||||
\(140\) | −555860. | − | 403856.i | −2.39688 | − | 1.74143i | ||||
\(141\) | 41696.0 | − | 3251.19i | 0.176623 | − | 0.0137719i | ||||
\(142\) | − | 83155.0i | − | 0.346073i | ||||||
\(143\) | −145191. | − | 77779.9i | −0.593745 | − | 0.318074i | ||||
\(144\) | 129985. | + | 66467.9i | 0.522381 | + | 0.267120i | ||||
\(145\) | −65982.8 | + | 21439.1i | −0.260622 | + | 0.0846811i | ||||
\(146\) | −82599.6 | + | 113689.i | −0.320698 | + | 0.441402i | ||||
\(147\) | 34426.5 | − | 14230.8i | 0.131401 | − | 0.0543168i | ||||
\(148\) | 210072. | − | 646534.i | 0.788339 | − | 2.42626i | ||||
\(149\) | −143829. | + | 442661.i | −0.530740 | + | 1.63345i | 0.221939 | + | 0.975061i | \(0.428761\pi\) |
−0.752679 | + | 0.658388i | \(0.771239\pi\) | |||||||
\(150\) | 848971. | − | 350936.i | 3.08081 | − | 1.27350i | ||||
\(151\) | 35033.2 | − | 48219.1i | 0.125037 | − | 0.172098i | −0.741909 | − | 0.670500i | \(-0.766080\pi\) |
0.866946 | + | 0.498402i | \(0.166080\pi\) | |||||||
\(152\) | 450366. | − | 146333.i | 1.58109 | − | 0.513728i | ||||
\(153\) | −27307.4 | − | 13963.6i | −0.0943087 | − | 0.0482247i | ||||
\(154\) | −456312. | + | 62683.1i | −1.55046 | + | 0.212985i | ||||
\(155\) | − | 732591.i | − | 2.44925i | ||||||
\(156\) | −378691. | + | 29527.9i | −1.24587 | + | 0.0971452i | ||||
\(157\) | 250320. | + | 181868.i | 0.810488 | + | 0.588854i | 0.913972 | − | 0.405777i | \(-0.132999\pi\) |
−0.103484 | + | 0.994631i | \(0.532999\pi\) | |||||||
\(158\) | 319657. | + | 439971.i | 1.01869 | + | 1.40211i | ||||
\(159\) | −357637. | − | 219516.i | −1.12189 | − | 0.688611i | ||||
\(160\) | 240948. | + | 78288.9i | 0.744088 | + | 0.241769i | ||||
\(161\) | −36879.6 | + | 26794.6i | −0.112130 | + | 0.0814672i | ||||
\(162\) | −1633.71 | + | 564427.i | −0.00489089 | + | 1.68974i | ||||
\(163\) | 106241. | + | 326976.i | 0.313201 | + | 0.963932i | 0.976489 | + | 0.215568i | \(0.0691603\pi\) |
−0.663288 | + | 0.748364i | \(0.730840\pi\) | |||||||
\(164\) | 498455. | 1.44716 | ||||||||
\(165\) | 242554. | − | 552036.i | 0.693582 | − | 1.57855i | ||||
\(166\) | −477792. | −1.34576 | ||||||||
\(167\) | −70695.0 | − | 217577.i | −0.196154 | − | 0.603700i | −0.999961 | − | 0.00881022i | \(-0.997196\pi\) |
0.803807 | − | 0.594890i | \(-0.202804\pi\) | |||||||
\(168\) | −372565. | + | 317734.i | −1.01842 | + | 0.868542i | ||||
\(169\) | −164098. | + | 119224.i | −0.441963 | + | 0.321105i | ||||
\(170\) | 110594. | + | 35934.1i | 0.293500 | + | 0.0953639i | ||||
\(171\) | 310584. | + | 311484.i | 0.812247 | + | 0.814602i | ||||
\(172\) | 271984. | + | 374354.i | 0.701006 | + | 0.964852i | ||||
\(173\) | 606298. | + | 440501.i | 1.54018 | + | 1.11900i | 0.950224 | + | 0.311567i | \(0.100854\pi\) |
0.589953 | + | 0.807438i | \(0.299146\pi\) | |||||||
\(174\) | 8337.65 | + | 106929.i | 0.0208771 | + | 0.267746i | ||||
\(175\) | 740268.i | 1.82723i | ||||||||
\(176\) | −217033. | + | 105019.i | −0.528134 | + | 0.255557i | ||||
\(177\) | −48064.2 | + | 199566.i | −0.115316 | + | 0.478798i | ||||
\(178\) | 635509. | − | 206489.i | 1.50339 | − | 0.488481i | ||||
\(179\) | 133755. | − | 184098.i | 0.312016 | − | 0.429453i | −0.623993 | − | 0.781430i | \(-0.714491\pi\) |
0.936009 | + | 0.351977i | \(0.114491\pi\) | |||||||
\(180\) | −215535. | − | 1.37370e6i | −0.495834 | − | 3.16017i | ||||
\(181\) | −58633.2 | + | 180454.i | −0.133029 | + | 0.409422i | −0.995278 | − | 0.0970625i | \(-0.969055\pi\) |
0.862249 | + | 0.506485i | \(0.169055\pi\) | |||||||
\(182\) | 145568. | − | 448013.i | 0.325752 | − | 1.00256i | ||||
\(183\) | −32591.3 | − | 78843.6i | −0.0719405 | − | 0.174036i | ||||
\(184\) | −58377.9 | + | 80350.3i | −0.127117 | + | 0.174962i | ||||
\(185\) | −1.04966e6 | + | 341057.i | −2.25487 | + | 0.732651i | ||||
\(186\) | −1.10105e6 | − | 265181.i | −2.33358 | − | 0.562030i | ||||
\(187\) | 45594.5 | − | 22062.6i | 0.0953473 | − | 0.0461373i | ||||
\(188\) | 159280.i | 0.328675i | ||||||||
\(189\) | −419831. | − | 174969.i | −0.854910 | − | 0.356292i | ||||
\(190\) | −1.34922e6 | − | 980269.i | −2.71144 | − | 1.96998i | ||||
\(191\) | 240841. | + | 331489.i | 0.477690 | + | 0.657484i | 0.978059 | − | 0.208328i | \(-0.0668023\pi\) |
−0.500369 | + | 0.865812i | \(0.666802\pi\) | |||||||
\(192\) | 361657. | − | 589214.i | 0.708018 | − | 1.15351i | ||||
\(193\) | 336632. | + | 109378.i | 0.650521 | + | 0.211367i | 0.615644 | − | 0.788024i | \(-0.288896\pi\) |
0.0348773 | + | 0.999392i | \(0.488896\pi\) | |||||||
\(194\) | −137243. | + | 99712.8i | −0.261810 | + | 0.190216i | ||||
\(195\) | 400162. | + | 469217.i | 0.753616 | + | 0.883664i | ||||
\(196\) | 43841.0 | + | 134929.i | 0.0815155 | + | 0.250879i | ||||
\(197\) | 591565. | 1.08602 | 0.543009 | − | 0.839727i | \(-0.317285\pi\) | ||||
0.543009 | + | 0.839727i | \(0.317285\pi\) | |||||||
\(198\) | −741882. | − | 564369.i | −1.34484 | − | 1.02306i | ||||
\(199\) | 240641. | 0.430762 | 0.215381 | − | 0.976530i | \(-0.430901\pi\) | ||||
0.215381 | + | 0.976530i | \(0.430901\pi\) | |||||||
\(200\) | 498393. | + | 1.53390e6i | 0.881043 | + | 2.71157i | ||||
\(201\) | 482881. | + | 566210.i | 0.843043 | + | 0.988525i | ||||
\(202\) | −397545. | + | 288834.i | −0.685501 | + | 0.498046i | ||||
\(203\) | −82197.7 | − | 26707.7i | −0.139997 | − | 0.0454879i | ||||
\(204\) | 61103.8 | − | 99550.6i | 0.102800 | − | 0.167482i | ||||
\(205\) | −475668. | − | 654701.i | −0.790531 | − | 1.08807i | ||||
\(206\) | −1.16314e6 | − | 845073.i | −1.90970 | − | 1.38748i | ||||
\(207\) | −91098.9 | − | 14563.8i | −0.147770 | − | 0.0236238i | ||||
\(208\) | − | 246588.i | − | 0.395197i | ||||||
\(209\) | −719679. | + | 98861.7i | −1.13965 | + | 0.156553i | ||||
\(210\) | 1.67653e6 | + | 403782.i | 2.62339 | + | 0.631828i | ||||
\(211\) | 142739. | − | 46378.8i | 0.220718 | − | 0.0717155i | −0.196571 | − | 0.980490i | \(-0.562980\pi\) |
0.417288 | + | 0.908774i | \(0.362980\pi\) | |||||||
\(212\) | 939373. | − | 1.29294e6i | 1.43548 | − | 1.97577i | ||||
\(213\) | 51805.3 | + | 125325.i | 0.0782393 | + | 0.189274i | ||||
\(214\) | −418116. | + | 1.28683e6i | −0.624112 | + | 1.92082i | ||||
\(215\) | 232148. | − | 714479.i | 0.342507 | − | 1.05413i | ||||
\(216\) | −987725. | − | 79893.5i | −1.44046 | − | 0.116514i | ||||
\(217\) | 536426. | − | 738327.i | 0.773322 | − | 1.06439i | ||||
\(218\) | 190114. | − | 61771.9i | 0.270940 | − | 0.0880339i | ||||
\(219\) | 53660.8 | − | 222803.i | 0.0756043 | − | 0.313914i | ||||
\(220\) | 2.02424e6 | + | 1.08440e6i | 2.81971 | + | 1.51054i | ||||
\(221\) | 51803.4i | 0.0713474i | ||||||||
\(222\) | 132637. | + | 1.70105e6i | 0.180626 | + | 2.31651i | ||||
\(223\) | −285255. | − | 207250.i | −0.384124 | − | 0.279082i | 0.378920 | − | 0.925430i | \(-0.376296\pi\) |
−0.763043 | + | 0.646347i | \(0.776296\pi\) | |||||||
\(224\) | 185509. | + | 255332.i | 0.247028 | + | 0.340005i | ||||
\(225\) | −1.06088e6 | + | 1.05781e6i | −1.39704 | + | 1.39300i | ||||
\(226\) | −843740. | − | 274148.i | −1.09885 | − | 0.357037i | ||||
\(227\) | −480558. | + | 349146.i | −0.618987 | + | 0.449720i | −0.852568 | − | 0.522617i | \(-0.824956\pi\) |
0.233581 | + | 0.972337i | \(0.424956\pi\) | |||||||
\(228\) | −1.27464e6 | + | 1.08705e6i | −1.62387 | + | 1.38488i | ||||
\(229\) | −8267.06 | − | 25443.4i | −0.0104175 | − | 0.0320617i | 0.945713 | − | 0.325004i | \(-0.105366\pi\) |
−0.956130 | + | 0.292942i | \(0.905366\pi\) | |||||||
\(230\) | 349782. | 0.435991 | ||||||||
\(231\) | 648670. | − | 378752.i | 0.799823 | − | 0.467009i | ||||
\(232\) | −188302. | −0.229686 | ||||||||
\(233\) | −41684.4 | − | 128291.i | −0.0503019 | − | 0.154813i | 0.922750 | − | 0.385398i | \(-0.125936\pi\) |
−0.973052 | + | 0.230585i | \(0.925936\pi\) | |||||||
\(234\) | 850059. | − | 431578.i | 1.01487 | − | 0.515252i | ||||
\(235\) | 209208. | − | 151998.i | 0.247120 | − | 0.179543i | ||||
\(236\) | −743509. | − | 241581.i | −0.868973 | − | 0.282347i | ||||
\(237\) | −755866. | − | 463948.i | −0.874126 | − | 0.536536i | ||||
\(238\) | 85147.5 | + | 117196.i | 0.0974383 | + | 0.134112i | ||||
\(239\) | 1.36402e6 | + | 991016.i | 1.54463 | + | 1.12224i | 0.947346 | + | 0.320213i | \(0.103754\pi\) |
0.597287 | + | 0.802028i | \(0.296246\pi\) | |||||||
\(240\) | 899968. | − | 70173.8i | 1.00855 | − | 0.0786406i | ||||
\(241\) | − | 1.31312e6i | − | 1.45633i | −0.685400 | − | 0.728167i | \(-0.740373\pi\) | ||
0.685400 | − | 0.728167i | \(-0.259627\pi\) | |||||||
\(242\) | 1.48241e6 | − | 415108.i | 1.62716 | − | 0.455641i | ||||
\(243\) | −349174. | − | 851684.i | −0.379338 | − | 0.925258i | ||||
\(244\) | 309014. | − | 100405.i | 0.332279 | − | 0.107964i | ||||
\(245\) | 135387. | − | 186344.i | 0.144099 | − | 0.198335i | ||||
\(246\) | −1.15616e6 | + | 477918.i | −1.21809 | + | 0.503519i | ||||
\(247\) | 229585. | − | 706590.i | 0.239443 | − | 0.736928i | ||||
\(248\) | 614433. | − | 1.89103e6i | 0.634374 | − | 1.95240i | ||||
\(249\) | 720096. | − | 297663.i | 0.736024 | − | 0.304247i | ||||
\(250\) | 1.64638e6 | − | 2.26605e6i | 1.66602 | − | 2.29308i | ||||
\(251\) | −66780.3 | + | 21698.2i | −0.0669058 | + | 0.0217390i | −0.342279 | − | 0.939598i | \(-0.611199\pi\) |
0.275373 | + | 0.961338i | \(0.411199\pi\) | |||||||
\(252\) | 788642. | − | 1.54227e6i | 0.782309 | − | 1.52989i | ||||
\(253\) | 109927. | − | 105496.i | 0.107970 | − | 0.103618i | ||||
\(254\) | 3.35483e6i | 3.26277i | ||||||||
\(255\) | −189066. | + | 14742.2i | −0.182080 | + | 0.0141975i | ||||
\(256\) | 1.47969e6 | + | 1.07506e6i | 1.41115 | + | 1.02526i | ||||
\(257\) | −336991. | − | 463828.i | −0.318262 | − | 0.438051i | 0.619673 | − | 0.784860i | \(-0.287265\pi\) |
−0.937936 | + | 0.346809i | \(0.887265\pi\) | |||||||
\(258\) | −989793. | − | 607532.i | −0.925753 | − | 0.568224i | ||||
\(259\) | −1.30761e6 | − | 424870.i | −1.21124 | − | 0.393556i | ||||
\(260\) | −1.90006e6 | + | 1.38048e6i | −1.74315 | + | 1.26647i | ||||
\(261\) | −79182.5 | − | 155962.i | −0.0719495 | − | 0.141715i | ||||
\(262\) | 34829.5 | + | 107194.i | 0.0313468 | + | 0.0964756i | ||||
\(263\) | −1.06257e6 | −0.947259 | −0.473629 | − | 0.880724i | \(-0.657056\pi\) | ||||
−0.473629 | + | 0.880724i | \(0.657056\pi\) | |||||||
\(264\) | 1.08910e6 | − | 1.22153e6i | 0.961740 | − | 1.07869i | ||||
\(265\) | −2.59465e6 | −2.26967 | ||||||||
\(266\) | −642005. | − | 1.97589e6i | −0.556332 | − | 1.71221i | ||||
\(267\) | −829153. | + | 707127.i | −0.711798 | + | 0.607042i | ||||
\(268\) | −2.29283e6 | + | 1.66584e6i | −1.95000 | + | 1.41676i | ||||
\(269\) | −254015. | − | 82534.4i | −0.214032 | − | 0.0695432i | 0.200039 | − | 0.979788i | \(-0.435893\pi\) |
−0.414070 | + | 0.910245i | \(0.635893\pi\) | |||||||
\(270\) | 1.81703e6 | + | 2.97962e6i | 1.51689 | + | 2.48744i | ||||
\(271\) | 418731. | + | 576334.i | 0.346348 | + | 0.476707i | 0.946282 | − | 0.323343i | \(-0.104807\pi\) |
−0.599934 | + | 0.800049i | \(0.704807\pi\) | |||||||
\(272\) | 61347.8 | + | 44571.8i | 0.0502779 | + | 0.0365290i | ||||
\(273\) | 59720.2 | + | 765902.i | 0.0484970 | + | 0.621966i | ||||
\(274\) | − | 2.30866e6i | − | 1.85774i | ||||||
\(275\) | −336712. | − | 2.45115e6i | −0.268489 | − | 1.95451i | ||||
\(276\) | 82268.9 | − | 341586.i | 0.0650075 | − | 0.269915i | ||||
\(277\) | 694976. | − | 225811.i | 0.544215 | − | 0.176826i | −0.0239917 | − | 0.999712i | \(-0.507638\pi\) |
0.568206 | + | 0.822886i | \(0.307638\pi\) | |||||||
\(278\) | −1.21442e6 | + | 1.67150e6i | −0.942443 | + | 1.29716i | ||||
\(279\) | 1.82463e6 | − | 286287.i | 1.40334 | − | 0.220186i | ||||
\(280\) | −935577. | + | 2.87941e6i | −0.713156 | + | 2.19487i | ||||
\(281\) | −402333. | + | 1.23825e6i | −0.303962 | + | 0.935500i | 0.676100 | + | 0.736810i | \(0.263669\pi\) |
−0.980062 | + | 0.198690i | \(0.936331\pi\) | |||||||
\(282\) | −152717. | − | 369448.i | −0.114358 | − | 0.276650i | ||||
\(283\) | −1.17802e6 | + | 1.62140e6i | −0.874350 | + | 1.20344i | 0.103604 | + | 0.994619i | \(0.466963\pi\) |
−0.977954 | + | 0.208821i | \(0.933037\pi\) | |||||||
\(284\) | −491191. | + | 159598.i | −0.361372 | + | 0.117417i | ||||
\(285\) | 2.64416e6 | + | 636831.i | 1.92831 | + | 0.464421i | ||||
\(286\) | −278220. | + | 1.54965e6i | −0.201129 | + | 1.12026i | ||||
\(287\) | − | 1.00813e6i | − | 0.722453i | ||||||
\(288\) | −100831. | + | 630712.i | −0.0716329 | + | 0.448074i | ||||
\(289\) | 1.13580e6 | + | 825207.i | 0.799940 | + | 0.581190i | ||||
\(290\) | 389799. | + | 536512.i | 0.272173 | + | 0.374614i | ||||
\(291\) | 144722. | − | 235782.i | 0.100185 | − | 0.163222i | ||||
\(292\) | 830083. | + | 269710.i | 0.569724 | + | 0.185115i | ||||
\(293\) | 1.71267e6 | − | 1.24433e6i | 1.16548 | − | 0.846772i | 0.175021 | − | 0.984565i | \(-0.444001\pi\) |
0.990461 | + | 0.137793i | \(0.0440007\pi\) | |||||||
\(294\) | −231058. | − | 270931.i | −0.155902 | − | 0.182806i | ||||
\(295\) | 392213. | + | 1.20711e6i | 0.262402 | + | 0.807589i | ||||
\(296\) | −2.99554e6 | −1.98722 | ||||||||
\(297\) | 1.46971e6 | + | 388388.i | 0.966812 | + | 0.255491i | ||||
\(298\) | 4.44900e6 | 2.90216 | ||||||||
\(299\) | 48152.0 | + | 148197.i | 0.0311484 | + | 0.0958650i | ||||
\(300\) | −3.70237e6 | − | 4.34128e6i | −2.37507 | − | 2.78493i | ||||
\(301\) | 757130. | − | 550087.i | 0.481675 | − | 0.349957i | ||||
\(302\) | −541833. | − | 176052.i | −0.341860 | − | 0.111077i | ||||
\(303\) | 419211. | − | 682980.i | 0.262317 | − | 0.427367i | ||||
\(304\) | −639238. | − | 879836.i | −0.396715 | − | 0.546032i | ||||
\(305\) | −426764. | − | 310063.i | −0.262687 | − | 0.190853i | ||||
\(306\) | −46280.7 | + | 289493.i | −0.0282551 | + | 0.176740i | ||||
\(307\) | − | 2.28943e6i | − | 1.38637i | −0.720757 | − | 0.693187i | \(-0.756206\pi\) | ||
0.720757 | − | 0.693187i | \(-0.243794\pi\) | |||||||
\(308\) | 1.24606e6 | + | 2.57510e6i | 0.748446 | + | 1.54674i | ||||
\(309\) | 2.27949e6 | + | 549002.i | 1.35813 | + | 0.327098i | ||||
\(310\) | −6.65987e6 | + | 2.16392e6i | −3.93606 | + | 1.27890i | ||||
\(311\) | −1.42811e6 | + | 1.96563e6i | −0.837263 | + | 1.15239i | 0.149264 | + | 0.988797i | \(0.452310\pi\) |
−0.986527 | + | 0.163597i | \(0.947690\pi\) | |||||||
\(312\) | 639397. | + | 1.54681e6i | 0.371864 | + | 0.899600i | ||||
\(313\) | −264631. | + | 814449.i | −0.152679 | + | 0.469897i | −0.997918 | − | 0.0644904i | \(-0.979458\pi\) |
0.845239 | + | 0.534388i | \(0.179458\pi\) | |||||||
\(314\) | 913940. | − | 2.81282e6i | 0.523111 | − | 1.60997i | ||||
\(315\) | −2.77830e6 | + | 435919.i | −1.57762 | + | 0.247531i | ||||
\(316\) | 1.98537e6 | − | 2.73262e6i | 1.11847 | − | 1.53944i | ||||
\(317\) | −2.59415e6 | + | 842889.i | −1.44993 | + | 0.471110i | −0.924977 | − | 0.380023i | \(-0.875916\pi\) |
−0.524950 | + | 0.851133i | \(0.675916\pi\) | |||||||
\(318\) | −939201. | + | 3.89962e6i | −0.520824 | + | 2.16249i | ||||
\(319\) | 284318. | + | 51045.6i | 0.156433 | + | 0.0280855i | ||||
\(320\) | − | 4.27473e6i | − | 2.33364i | ||||||
\(321\) | −171535. | − | 2.19991e6i | −0.0929158 | − | 1.19163i | ||||
\(322\) | 352520. | + | 256121.i | 0.189472 | + | 0.137659i | ||||
\(323\) | 134292. | + | 184837.i | 0.0716215 | + | 0.0985785i | ||||
\(324\) | 3.33717e6 | − | 1.07364e6i | 1.76610 | − | 0.568196i | ||||
\(325\) | 2.40657e6 | + | 781941.i | 1.26383 | + | 0.410644i | ||||
\(326\) | 2.65867e6 | − | 1.93164e6i | 1.38554 | − | 1.00666i | ||||
\(327\) | −248044. | + | 211539.i | −0.128280 | + | 0.109401i | ||||
\(328\) | −678731. | − | 2.08892e6i | −0.348348 | − | 1.07210i | ||||
\(329\) | 322143. | 0.164081 | ||||||||
\(330\) | −5.73492e6 | − | 574417.i | −2.89896 | − | 0.290364i | ||||
\(331\) | −406510. | −0.203939 | −0.101970 | − | 0.994788i | \(-0.532514\pi\) | ||||
−0.101970 | + | 0.994788i | \(0.532514\pi\) | |||||||
\(332\) | 917018. | + | 2.82229e6i | 0.456597 | + | 1.40526i | ||||
\(333\) | −1.25965e6 | − | 2.48107e6i | −0.622499 | − | 1.22611i | ||||
\(334\) | −1.76914e6 | + | 1.28535e6i | −0.867751 | + | 0.630458i | ||||
\(335\) | 4.37602e6 | + | 1.42186e6i | 2.13043 | + | 0.692219i | ||||
\(336\) | 958397. | + | 588261.i | 0.463124 | + | 0.284264i | ||||
\(337\) | −782650. | − | 1.07723e6i | −0.375399 | − | 0.516692i | 0.578959 | − | 0.815356i | \(-0.303459\pi\) |
−0.954358 | + | 0.298664i | \(0.903459\pi\) | |||||||
\(338\) | 1.56856e6 | + | 1.13962e6i | 0.746807 | + | 0.542587i | ||||
\(339\) | 1.44242e6 | − | 112471.i | 0.681699 | − | 0.0531545i | ||||
\(340\) | − | 722238.i | − | 0.338831i | ||||||
\(341\) | −1.44036e6 | + | 2.68871e6i | −0.670790 | + | 1.25216i | ||||
\(342\) | 1.91425e6 | − | 3.74352e6i | 0.884980 | − | 1.73067i | ||||
\(343\) | 2.19217e6 | − | 712280.i | 1.00610 | − | 0.326901i | ||||
\(344\) | 1.19848e6 | − | 1.64957e6i | 0.546055 | − | 0.751580i | ||||
\(345\) | −527167. | + | 217913.i | −0.238452 | + | 0.0985678i | ||||
\(346\) | 2.21365e6 | − | 6.81290e6i | 0.994072 | − | 3.05944i | ||||
\(347\) | −869217. | + | 2.67517e6i | −0.387529 | + | 1.19269i | 0.547100 | + | 0.837067i | \(0.315732\pi\) |
−0.934629 | + | 0.355625i | \(0.884268\pi\) | |||||||
\(348\) | 615621. | − | 254477.i | 0.272499 | − | 0.112642i | ||||
\(349\) | −2.53030e6 | + | 3.48266e6i | −1.11201 | + | 1.53055i | −0.293586 | + | 0.955933i | \(0.594849\pi\) |
−0.818423 | + | 0.574617i | \(0.805151\pi\) | |||||||
\(350\) | 6.72965e6 | − | 2.18660e6i | 2.93645 | − | 0.954110i | ||||
\(351\) | −1.01228e6 | + | 1.18003e6i | −0.438563 | + | 0.511240i | ||||
\(352\) | −730389. | − | 761065.i | −0.314194 | − | 0.327390i | ||||
\(353\) | 1.52326e6i | 0.650633i | 0.945605 | + | 0.325316i | \(0.105471\pi\) | ||||
−0.945605 | + | 0.325316i | \(0.894529\pi\) | |||||||
\(354\) | 1.95619e6 | − | 152531.i | 0.829665 | − | 0.0646920i | ||||
\(355\) | 678361. | + | 492858.i | 0.285687 | + | 0.207564i | ||||
\(356\) | −2.43944e6 | − | 3.35760e6i | −1.02015 | − | 1.40412i | ||||
\(357\) | −201341. | − | 123582.i | −0.0836107 | − | 0.0513199i | ||||
\(358\) | −2.06868e6 | − | 672156.i | −0.853074 | − | 0.277181i | ||||
\(359\) | 1.31009e6 | − | 951835.i | 0.536494 | − | 0.389786i | −0.286287 | − | 0.958144i | \(-0.592421\pi\) |
0.822781 | + | 0.568358i | \(0.192421\pi\) | |||||||
\(360\) | −5.46339e6 | + | 2.77378e6i | −2.22181 | + | 1.12802i | ||||
\(361\) | −247392. | − | 761393.i | −0.0999119 | − | 0.307497i | ||||
\(362\) | 1.81367e6 | 0.727424 | ||||||||
\(363\) | −1.97558e6 | + | 1.54916e6i | −0.786914 | + | 0.617063i | ||||
\(364\) | −2.92577e6 | −1.15741 | ||||||||
\(365\) | −437881. | − | 1.34766e6i | −0.172038 | − | 0.529479i | ||||
\(366\) | −620487. | + | 529170.i | −0.242119 | + | 0.206487i | ||||
\(367\) | 918272. | − | 667163.i | 0.355882 | − | 0.258563i | −0.395450 | − | 0.918487i | \(-0.629412\pi\) |
0.751332 | + | 0.659924i | \(0.229412\pi\) | |||||||
\(368\) | 216931. | + | 70485.0i | 0.0835029 | + | 0.0271317i | ||||
\(369\) | 1.44475e6 | − | 1.44057e6i | 0.552364 | − | 0.550768i | ||||
\(370\) | 6.20098e6 | + | 8.53491e6i | 2.35481 | + | 3.24112i | ||||
\(371\) | −2.61496e6 | − | 1.89988e6i | −0.986349 | − | 0.716624i | ||||
\(372\) | 546812. | + | 7.01277e6i | 0.204871 | + | 2.62744i | ||||
\(373\) | 1.21196e6i | 0.451041i | 0.974238 | + | 0.225520i | \(0.0724082\pi\) | ||||
−0.974238 | + | 0.225520i | \(0.927592\pi\) | |||||||
\(374\) | −335244. | − | 349324.i | −0.123932 | − | 0.129137i | ||||
\(375\) | −1.06957e6 | + | 4.44092e6i | −0.392764 | + | 1.63078i | ||||
\(376\) | 667508. | − | 216887.i | 0.243493 | − | 0.0791158i | ||||
\(377\) | −173650. | + | 239009.i | −0.0629248 | + | 0.0866085i | ||||
\(378\) | −350516. | + | 4.33344e6i | −0.126176 | + | 1.55992i | ||||
\(379\) | −999226. | + | 3.07530e6i | −0.357327 | + | 1.09974i | 0.597321 | + | 0.802002i | \(0.296232\pi\) |
−0.954648 | + | 0.297737i | \(0.903768\pi\) | |||||||
\(380\) | −3.20085e6 | + | 9.85120e6i | −1.13712 | + | 3.49969i | ||||
\(381\) | −2.09005e6 | − | 5.05617e6i | −0.737640 | − | 1.78447i | ||||
\(382\) | 2.30212e6 | − | 3.16859e6i | 0.807177 | − | 1.11098i | ||||
\(383\) | 309499. | − | 100562.i | 0.107811 | − | 0.0350299i | −0.254615 | − | 0.967043i | \(-0.581949\pi\) |
0.362426 | + | 0.932013i | \(0.381949\pi\) | |||||||
\(384\) | −5.14998e6 | − | 1.24034e6i | −1.78229 | − | 0.429254i | ||||
\(385\) | 2.19320e6 | − | 4.09402e6i | 0.754094 | − | 1.40766i | ||||
\(386\) | − | 3.38334e6i | − | 1.15579i | ||||||
\(387\) | 1.87024e6 | + | 298992.i | 0.634775 | + | 0.101480i | ||||
\(388\) | 852405. | + | 619309.i | 0.287453 | + | 0.208847i | ||||
\(389\) | −2.67594e6 | − | 3.68311e6i | −0.896606 | − | 1.23407i | −0.971538 | − | 0.236884i | \(-0.923874\pi\) |
0.0749317 | − | 0.997189i | \(-0.476126\pi\) | |||||||
\(390\) | 3.08358e6 | − | 5.02378e6i | 1.02658 | − | 1.67251i | ||||
\(391\) | −45573.0 | − | 14807.6i | −0.0150753 | − | 0.00489826i | ||||
\(392\) | 505761. | − | 367457.i | 0.166238 | − | 0.120779i | ||||
\(393\) | −119274. | − | 139857.i | −0.0389552 | − | 0.0456775i | ||||
\(394\) | −1.74736e6 | − | 5.37782e6i | −0.567076 | − | 1.74528i | ||||
\(395\) | −5.48380e6 | −1.76843 | ||||||||
\(396\) | −1.90981e6 | + | 5.46544e6i | −0.612003 | + | 1.75141i | ||||
\(397\) | −715291. | −0.227775 | −0.113888 | − | 0.993494i | \(-0.536330\pi\) | ||||
−0.113888 | + | 0.993494i | \(0.536330\pi\) | |||||||
\(398\) | −710804. | − | 2.18763e6i | −0.224927 | − | 0.692255i | ||||
\(399\) | 2.19856e6 | + | 2.57796e6i | 0.691362 | + | 0.810668i | ||||
\(400\) | 2.99662e6 | − | 2.17717e6i | 0.936445 | − | 0.680367i | ||||
\(401\) | 2.04260e6 | + | 663680.i | 0.634340 | + | 0.206109i | 0.608496 | − | 0.793557i | \(-0.291773\pi\) |
0.0258431 | + | 0.999666i | \(0.491773\pi\) | |||||||
\(402\) | 3.72099e6 | − | 6.06226e6i | 1.14840 | − | 1.87098i | ||||
\(403\) | −1.83363e6 | − | 2.52378e6i | −0.562406 | − | 0.774085i | ||||
\(404\) | 2.46912e6 | + | 1.79392e6i | 0.752644 | + | 0.546828i | ||||
\(405\) | −4.59480e6 | − | 3.35868e6i | −1.39197 | − | 1.01749i | ||||
\(406\) | 826135.i | 0.248734i | ||||||||
\(407\) | 4.52298e6 | + | 812042.i | 1.35344 | + | 0.242992i | ||||
\(408\) | −500399. | − | 120518.i | −0.148822 | − | 0.0358428i | ||||
\(409\) | −5.06194e6 | + | 1.64472e6i | −1.49627 | + | 0.486166i | −0.938926 | − | 0.344119i | \(-0.888178\pi\) |
−0.557339 | + | 0.830285i | \(0.688178\pi\) | |||||||
\(410\) | −4.54675e6 | + | 6.25807e6i | −1.33580 | + | 1.83857i | ||||
\(411\) | 1.43829e6 | + | 3.47946e6i | 0.419993 | + | 1.01603i | ||||
\(412\) | −2.75940e6 | + | 8.49255e6i | −0.800887 | + | 2.46488i | ||||
\(413\) | −488597. | + | 1.50375e6i | −0.140953 | + | 0.433810i | ||||
\(414\) | 136690. | + | 871184.i | 0.0391954 | + | 0.249809i | ||||
\(415\) | 2.83187e6 | − | 3.89773e6i | 0.807147 | − | 1.11094i | ||||
\(416\) | 1.02602e6 | − | 333374.i | 0.290685 | − | 0.0944493i | ||||
\(417\) | 788944. | − | 3.27575e6i | 0.222181 | − | 0.922508i | ||||
\(418\) | 3.02452e6 | + | 6.25047e6i | 0.846672 | + | 1.74973i | ||||
\(419\) | − | 1.71145e6i | − | 0.476244i | −0.971235 | − | 0.238122i | \(-0.923468\pi\) | ||
0.971235 | − | 0.238122i | \(-0.0765318\pi\) | |||||||
\(420\) | −832612. | − | 1.06781e7i | −0.230314 | − | 2.95374i | ||||
\(421\) | 2.44833e6 | + | 1.77881e6i | 0.673231 | + | 0.489131i | 0.871105 | − | 0.491097i | \(-0.163404\pi\) |
−0.197874 | + | 0.980227i | \(0.563404\pi\) | |||||||
\(422\) | −843244. | − | 1.16063e6i | −0.230501 | − | 0.317257i | ||||
\(423\) | 460330. | + | 461664.i | 0.125089 | + | 0.125451i | ||||
\(424\) | −6.69754e6 | − | 2.17616e6i | −1.80926 | − | 0.587863i | ||||
\(425\) | −629533. | + | 457383.i | −0.169062 | + | 0.122831i | ||||
\(426\) | 986291. | − | 841139.i | 0.263318 | − | 0.224566i | ||||
\(427\) | −203068. | − | 624980.i | −0.0538980 | − | 0.165881i | ||||
\(428\) | 8.40370e6 | 2.21749 | ||||||||
\(429\) | −546115. | − | 2.50886e6i | −0.143265 | − | 0.658163i | ||||
\(430\) | −7.18093e6 | −1.87288 | ||||||||
\(431\) | 511802. | + | 1.57517e6i | 0.132712 | + | 0.408444i | 0.995227 | − | 0.0975864i | \(-0.0311122\pi\) |
−0.862515 | + | 0.506031i | \(0.831112\pi\) | |||||||
\(432\) | 526473. | + | 2.21408e6i | 0.135727 | + | 0.570800i | ||||
\(433\) | 1.68879e6 | − | 1.22698e6i | 0.432868 | − | 0.314497i | −0.349927 | − | 0.936777i | \(-0.613794\pi\) |
0.782795 | + | 0.622280i | \(0.213794\pi\) | |||||||
\(434\) | −8.29650e6 | − | 2.69570e6i | −2.11432 | − | 0.686984i | ||||
\(435\) | −921723. | − | 565750.i | −0.233549 | − | 0.143351i | ||||
\(436\) | −729766. | − | 1.00444e6i | −0.183852 | − | 0.253050i | ||||
\(437\) | 555983. | + | 403945.i | 0.139270 | + | 0.101186i | ||||
\(438\) | −2.18397e6 | + | 170292.i | −0.543952 | + | 0.0424139i | ||||
\(439\) | 5.32419e6i | 1.31854i | 0.751908 | + | 0.659268i | \(0.229134\pi\) | ||||
−0.751908 | + | 0.659268i | \(0.770866\pi\) | |||||||
\(440\) | 1.78814e6 | − | 9.95974e6i | 0.440322 | − | 2.45254i | ||||
\(441\) | 517024. | + | 264380.i | 0.126594 | + | 0.0647340i | ||||
\(442\) | 470937. | − | 153017.i | 0.114659 | − | 0.0372548i | ||||
\(443\) | 2.31158e6 | − | 3.18162e6i | 0.559629 | − | 0.770263i | −0.431650 | − | 0.902041i | \(-0.642069\pi\) |
0.991279 | + | 0.131778i | \(0.0420685\pi\) | |||||||
\(444\) | 9.79340e6 | − | 4.04826e6i | 2.35763 | − | 0.974566i | ||||
\(445\) | −2.08215e6 | + | 6.40821e6i | −0.498440 | + | 1.53404i | ||||
\(446\) | −1.04149e6 | + | 3.20538e6i | −0.247924 | + | 0.763031i | ||||
\(447\) | −6.70522e6 | + | 2.77171e6i | −1.58725 | + | 0.656114i | ||||
\(448\) | 3.13009e6 | − | 4.30820e6i | 0.736821 | − | 1.01415i | ||||
\(449\) | 5.15921e6 | − | 1.67633e6i | 1.20772 | − | 0.392413i | 0.365126 | − | 0.930958i | \(-0.381026\pi\) |
0.842596 | + | 0.538546i | \(0.181026\pi\) | |||||||
\(450\) | 1.27500e7 | + | 6.51972e6i | 2.96811 | + | 1.51774i | ||||
\(451\) | 458547. | + | 3.33807e6i | 0.106156 | + | 0.772776i | ||||
\(452\) | 5.51009e6i | 1.26856i | ||||||||
\(453\) | 926293. | − | 72226.5i | 0.212082 | − | 0.0165368i | ||||
\(454\) | 4.59350e6 | + | 3.33737e6i | 1.04593 | + | 0.759915i | ||||
\(455\) | 2.79201e6 | + | 3.84288e6i | 0.632250 | + | 0.870218i | ||||
\(456\) | 6.29123e6 | + | 3.86154e6i | 1.41685 | + | 0.869657i | ||||
\(457\) | −2.15486e6 | − | 700158.i | −0.482647 | − | 0.156821i | 0.0575800 | − | 0.998341i | \(-0.481662\pi\) |
−0.540227 | + | 0.841519i | \(0.681662\pi\) | |||||||
\(458\) | −206882. | + | 150309.i | −0.0460850 | + | 0.0334827i | ||||
\(459\) | −110602. | − | 465136.i | −0.0245037 | − | 0.103050i | ||||
\(460\) | −671329. | − | 2.06614e6i | −0.147925 | − | 0.455266i | ||||
\(461\) | −94509.9 | −0.0207121 | −0.0103561 | − | 0.999946i | \(-0.503296\pi\) | ||||
−0.0103561 | + | 0.999946i | \(0.503296\pi\) | |||||||
\(462\) | −5.35921e6 | − | 4.77820e6i | −1.16814 | − | 1.04150i | ||||
\(463\) | −4.10098e6 | −0.889068 | −0.444534 | − | 0.895762i | \(-0.646631\pi\) | ||||
−0.444534 | + | 0.895762i | \(0.646631\pi\) | |||||||
\(464\) | 133635. | + | 411287.i | 0.0288155 | + | 0.0886851i | ||||
\(465\) | 8.68918e6 | − | 7.41039e6i | 1.86357 | − | 1.58931i | ||||
\(466\) | −1.04315e6 | + | 757892.i | −0.222526 | + | 0.161675i | ||||
\(467\) | −2.01586e6 | − | 654993.i | −0.427729 | − | 0.138977i | 0.0872384 | − | 0.996187i | \(-0.472196\pi\) |
−0.514967 | + | 0.857210i | \(0.672196\pi\) | |||||||
\(468\) | −4.18081e6 | − | 4.19292e6i | −0.882359 | − | 0.884917i | ||||
\(469\) | 3.36916e6 | + | 4.63725e6i | 0.707276 | + | 0.973483i | ||||
\(470\) | −1.99975e6 | − | 1.45290e6i | −0.417571 | − | 0.303383i | ||||
\(471\) | 374949. | + | 4.80867e6i | 0.0778790 | + | 0.998786i | ||||
\(472\) | 3.44484e6i | 0.711729i | ||||||||
\(473\) | −2.25677e6 | + | 2.16581e6i | −0.463804 | + | 0.445110i | ||||
\(474\) | −1.98500e6 | + | 8.24186e6i | −0.405803 | + | 1.68492i | ||||
\(475\) | 1.06138e7 | − | 3.44863e6i | 2.15842 | − | 0.701313i | ||||
\(476\) | 528845. | − | 727892.i | 0.106982 | − | 0.147248i | ||||
\(477\) | −1.01395e6 | − | 6.46236e6i | −0.204043 | − | 1.30045i | ||||
\(478\) | 4.98014e6 | − | 1.53273e7i | 0.996947 | − | 3.06829i | ||||
\(479\) | 1.03361e6 | − | 3.18114e6i | 0.205835 | − | 0.633496i | −0.793843 | − | 0.608123i | \(-0.791923\pi\) |
0.999678 | − | 0.0253729i | \(-0.00807731\pi\) | |||||||
\(480\) | 1.50869e6 | + | 3.64978e6i | 0.298881 | + | 0.723041i | ||||
\(481\) | −2.76245e6 | + | 3.80219e6i | −0.544418 | + | 0.749327i | ||||
\(482\) | −1.19373e7 | + | 3.87867e6i | −2.34040 | + | 0.760441i | ||||
\(483\) | −690857. | − | 166389.i | −0.134747 | − | 0.0324531i | ||||
\(484\) | −5.29718e6 | − | 7.95980e6i | −1.02785 | − | 1.54450i | ||||
\(485\) | − | 1.71060e6i | − | 0.330212i | ||||||
\(486\) | −6.71113e6 | + | 5.68998e6i | −1.28886 | + | 1.09275i | ||||
\(487\) | −5.61963e6 | − | 4.08290e6i | −1.07371 | − | 0.780094i | −0.0971319 | − | 0.995272i | \(-0.530967\pi\) |
−0.976575 | + | 0.215178i | \(0.930967\pi\) | |||||||
\(488\) | −841550. | − | 1.15829e6i | −0.159967 | − | 0.220176i | ||||
\(489\) | −2.80356e6 | + | 4.56757e6i | −0.530197 | + | 0.863800i | ||||
\(490\) | −2.09392e6 | − | 680357.i | −0.393977 | − | 0.128011i | ||||
\(491\) | 2.47432e6 | − | 1.79770e6i | 0.463182 | − | 0.336522i | −0.331596 | − | 0.943421i | \(-0.607587\pi\) |
0.794778 | + | 0.606900i | \(0.207587\pi\) | |||||||
\(492\) | 5.04203e6 | + | 5.91212e6i | 0.939059 | + | 1.10111i | ||||
\(493\) | −28074.2 | − | 86403.7i | −0.00520225 | − | 0.0160109i | ||||
\(494\) | −7.10164e6 | −1.30931 | ||||||||
\(495\) | 9.00113e6 | − | 2.70711e6i | 1.65114 | − | 0.496585i | ||||
\(496\) | −4.56643e6 | −0.833437 | ||||||||
\(497\) | 322786. | + | 993434.i | 0.0586171 | + | 0.180405i | ||||
\(498\) | −4.83302e6 | − | 5.66704e6i | −0.873263 | − | 1.02396i | ||||
\(499\) | 3.48962e6 | − | 2.53536e6i | 0.627374 | − | 0.455814i | −0.228115 | − | 0.973634i | \(-0.573256\pi\) |
0.855490 | + | 0.517820i | \(0.173256\pi\) | |||||||
\(500\) | −1.65453e7 | − | 5.37589e6i | −2.95971 | − | 0.961668i | ||||
\(501\) | 1.86555e6 | − | 3.03936e6i | 0.332057 | − | 0.540989i | ||||
\(502\) | 394510. | + | 542997.i | 0.0698713 | + | 0.0961696i | ||||
\(503\) | −1.10376e6 | − | 801926.i | −0.194515 | − | 0.141324i | 0.486265 | − | 0.873811i | \(-0.338359\pi\) |
−0.680780 | + | 0.732488i | \(0.738359\pi\) | |||||||
\(504\) | −7.53722e6 | − | 1.20496e6i | −1.32171 | − | 0.211299i | ||||
\(505\) | − | 4.95500e6i | − | 0.864601i | ||||||
\(506\) | −1.28375e6 | − | 687713.i | −0.222897 | − | 0.119407i | ||||
\(507\) | −3.07400e6 | − | 740355.i | −0.531110 | − | 0.127915i | ||||
\(508\) | 1.98168e7 | − | 6.43887e6i | 3.40702 | − | 1.10701i | ||||
\(509\) | 1.04578e6 | − | 1.43939e6i | 0.178915 | − | 0.246255i | −0.710135 | − | 0.704066i | \(-0.751366\pi\) |
0.889050 | + | 0.457810i | \(0.151366\pi\) | |||||||
\(510\) | 692480. | + | 1.67522e6i | 0.117891 | + | 0.285198i | ||||
\(511\) | 545489. | − | 1.67884e6i | 0.0924131 | − | 0.284418i | ||||
\(512\) | 2.04218e6 | − | 6.28518e6i | 0.344286 | − | 1.05960i | ||||
\(513\) | −552822. | + | 6.83455e6i | −0.0927453 | + | 1.14661i | ||||
\(514\) | −3.22118e6 | + | 4.43358e6i | −0.537784 | + | 0.740196i | ||||
\(515\) | 1.37879e7 | − | 4.47995e6i | 2.29076 | − | 0.744312i | ||||
\(516\) | −1.68896e6 | + | 7.01267e6i | −0.279251 | + | 1.15947i | ||||
\(517\) | −1.06667e6 | + | 146527.i | −0.175511 | + | 0.0241097i | ||||
\(518\) | 1.31423e7i | 2.15202i | ||||||||
\(519\) | 908161. | + | 1.16470e7i | 0.147994 | + | 1.89800i | ||||
\(520\) | 8.37255e6 | + | 6.08301e6i | 1.35784 | + | 0.986530i | ||||
\(521\) | −6.11192e6 | − | 8.41233e6i | −0.986468 | − | 1.35776i | −0.933271 | − | 0.359173i | \(-0.883059\pi\) |
−0.0531969 | − | 0.998584i | \(-0.516941\pi\) | |||||||
\(522\) | −1.18394e6 | + | 1.18051e6i | −0.190174 | + | 0.189625i | ||||
\(523\) | −3.16332e6 | − | 1.02782e6i | −0.505695 | − | 0.164310i | 0.0450486 | − | 0.998985i | \(-0.485656\pi\) |
−0.550743 | + | 0.834675i | \(0.685656\pi\) | |||||||
\(524\) | 566341. | − | 411471.i | 0.0901052 | − | 0.0654653i | ||||
\(525\) | −8.78023e6 | + | 7.48804e6i | −1.39030 | + | 1.18569i | ||||
\(526\) | 3.13861e6 | + | 9.65966e6i | 0.494622 | + | 1.52229i | ||||
\(527\) | 959320. | 0.150465 | ||||||||
\(528\) | −3.44098e6 | − | 1.51190e6i | −0.537152 | − | 0.236014i | ||||
\(529\) | 6.29221e6 | 0.977606 | ||||||||
\(530\) | 7.66405e6 | + | 2.35875e7i | 1.18514 | + | 3.64748i | ||||
\(531\) | −2.85321e6 | + | 1.44858e6i | −0.439134 | + | 0.222950i | ||||
\(532\) | −1.04393e7 | + | 7.58457e6i | −1.59916 | + | 1.16185i | ||||
\(533\) | −3.27736e6 | − | 1.06488e6i | −0.499696 | − | 0.162361i | ||||
\(534\) | 8.87752e6 | + | 5.44899e6i | 1.34722 | + | 0.826919i | ||||
\(535\) | −8.01952e6 | − | 1.10379e7i | −1.21133 | − | 1.66726i | ||||
\(536\) | 1.01033e7 | + | 7.34044e6i | 1.51897 | + | 1.10360i | ||||
\(537\) | 3.53653e6 | − | 275756.i | 0.529227 | − | 0.0412657i | ||||
\(538\) | 2.55300e6i | 0.380272i | ||||||||
\(539\) | −863263. | + | 417721.i | −0.127989 | + | 0.0619319i | ||||
\(540\) | 1.41131e7 | − | 1.64518e7i | 2.08275 | − | 2.42789i | ||||
\(541\) | −2.05521e6 | + | 667778.i | −0.301900 | + | 0.0980932i | −0.456050 | − | 0.889954i | \(-0.650736\pi\) |
0.154150 | + | 0.988047i | \(0.450736\pi\) | |||||||
\(542\) | 4.00252e6 | − | 5.50899e6i | 0.585241 | − | 0.805515i | ||||
\(543\) | −2.73344e6 | + | 1.12991e6i | −0.397842 | + | 0.164454i | ||||
\(544\) | −102518. | + | 315519.i | −0.0148527 | + | 0.0457118i | ||||
\(545\) | −622882. | + | 1.91704e6i | −0.0898286 | + | 0.276464i | ||||
\(546\) | 6.78629e6 | − | 2.80522e6i | 0.974206 | − | 0.402704i | ||||
\(547\) | −1.35637e6 | + | 1.86689e6i | −0.193826 | + | 0.266778i | −0.894858 | − | 0.446352i | \(-0.852723\pi\) |
0.701032 | + | 0.713130i | \(0.252723\pi\) | |||||||
\(548\) | −1.36371e7 | + | 4.43097e6i | −1.93986 | + | 0.630300i | ||||
\(549\) | 605484. | − | 1.18409e6i | 0.0857377 | − | 0.167669i | ||||
\(550\) | −2.12884e7 | + | 1.03012e7i | −3.00079 | + | 1.45204i | ||||
\(551\) | 1.30295e6i | 0.182831i | ||||||||
\(552\) | −1.54354e6 | + | 120355.i | −0.215610 | + | 0.0168119i | ||||
\(553\) | −5.52673e6 | − | 4.01540e6i | −0.768520 | − | 0.558363i | ||||
\(554\) | −4.10563e6 | − | 5.65091e6i | −0.568336 | − | 0.782247i | ||||
\(555\) | −1.46629e7 | − | 9.00005e6i | −2.02063 | − | 1.24026i | ||||
\(556\) | 1.22042e7 | + | 3.96540e6i | 1.67426 | + | 0.544001i | ||||
\(557\) | −5.72045e6 | + | 4.15615e6i | −0.781254 | + | 0.567614i | −0.905355 | − | 0.424655i | \(-0.860395\pi\) |
0.124101 | + | 0.992270i | \(0.460395\pi\) | |||||||
\(558\) | −7.99216e6 | − | 1.57418e7i | −1.08662 | − | 2.14027i | ||||
\(559\) | −988548. | − | 3.04244e6i | −0.133804 | − | 0.411806i | ||||
\(560\) | 6.95315e6 | 0.936940 | ||||||||
\(561\) | 722884. | + | 317621.i | 0.0969754 | + | 0.0426091i | ||||
\(562\) | 1.24452e7 | 1.66211 | ||||||||
\(563\) | −2.97741e6 | − | 9.16354e6i | −0.395884 | − | 1.21841i | −0.928271 | − | 0.371905i | \(-0.878705\pi\) |
0.532387 | − | 0.846501i | \(-0.321295\pi\) | |||||||
\(564\) | −1.88920e6 | + | 1.61117e6i | −0.250081 | + | 0.213276i | ||||
\(565\) | 7.23727e6 | − | 5.25819e6i | 0.953792 | − | 0.692971i | ||||
\(566\) | 1.82195e7 | + | 5.91988e6i | 2.39054 | + | 0.776733i | ||||
\(567\) | −2.17144e6 | − | 6.74943e6i | −0.283655 | − | 0.881677i | ||||
\(568\) | 1.33768e6 | + | 1.84116e6i | 0.173973 | + | 0.239453i | ||||
\(569\) | 9.87475e6 | + | 7.17443e6i | 1.27863 | + | 0.928980i | 0.999511 | − | 0.0312754i | \(-0.00995691\pi\) |
0.279121 | + | 0.960256i | \(0.409957\pi\) | |||||||
\(570\) | −2.02098e6 | − | 2.59187e7i | −0.260540 | − | 3.34138i | ||||
\(571\) | 1.21484e7i | 1.55930i | 0.626217 | + | 0.779649i | \(0.284603\pi\) | ||||
−0.626217 | + | 0.779649i | \(0.715397\pi\) | |||||||
\(572\) | 9.68769e6 | − | 1.33079e6i | 1.23803 | − | 0.170067i | ||||
\(573\) | −1.49557e6 | + | 6.20969e6i | −0.190292 | + | 0.790103i | ||||
\(574\) | −9.16470e6 | + | 2.97779e6i | −1.16102 | + | 0.377237i | ||||
\(575\) | −1.37579e6 | + | 1.89361e6i | −0.173533 | + | 0.238848i | ||||
\(576\) | 1.06469e7 | − | 1.67051e6i | 1.33711 | − | 0.209793i | ||||
\(577\) | 3.43440e6 | − | 1.05700e7i | 0.429448 | − | 1.32171i | −0.469222 | − | 0.883080i | \(-0.655465\pi\) |
0.898670 | − | 0.438626i | \(-0.144535\pi\) | |||||||
\(578\) | 4.14691e6 | − | 1.27629e7i | 0.516303 | − | 1.58902i | ||||
\(579\) | 2.10781e6 | + | 5.09914e6i | 0.261298 | + | 0.632121i | ||||
\(580\) | 2.42101e6 | − | 3.33223e6i | 0.298832 | − | 0.411306i | ||||
\(581\) | 5.70808e6 | − | 1.85467e6i | 0.701536 | − | 0.227943i | ||||
\(582\) | −2.57094e6 | − | 619195.i | −0.314618 | − | 0.0757740i | ||||
\(583\) | 9.52273e6 | + | 5.10139e6i | 1.16035 | + | 0.621609i | ||||
\(584\) | − | 3.84596e6i | − | 0.466630i | ||||||
\(585\) | −1.51756e6 | + | 9.49256e6i | −0.183339 | + | 1.14682i | ||||
\(586\) | −1.63709e7 | − | 1.18941e7i | −1.96937 | − | 1.43083i | ||||
\(587\) | −1.84061e6 | − | 2.53338e6i | −0.220478 | − | 0.303462i | 0.684422 | − | 0.729086i | \(-0.260055\pi\) |
−0.904900 | + | 0.425624i | \(0.860055\pi\) | |||||||
\(588\) | −1.15691e6 | + | 1.88484e6i | −0.137992 | + | 0.224818i | ||||
\(589\) | −1.30850e7 | − | 4.25156e6i | −1.55412 | − | 0.504964i | ||||
\(590\) | 9.81509e6 | − | 7.13108e6i | 1.16082 | − | 0.843384i | ||||
\(591\) | 5.98386e6 | + | 7.01648e6i | 0.704714 | + | 0.826324i | ||||
\(592\) | 2.12589e6 | + | 6.54283e6i | 0.249309 | + | 0.767293i | ||||
\(593\) | −390659. | −0.0456206 | −0.0228103 | − | 0.999740i | \(-0.507261\pi\) | ||||
−0.0228103 | + | 0.999740i | \(0.507261\pi\) | |||||||
\(594\) | −810455. | − | 1.45081e7i | −0.0942460 | − | 1.68712i | ||||
\(595\) | −1.46072e6 | −0.169152 | ||||||||
\(596\) | −8.53888e6 | − | 2.62800e7i | −0.984657 | − | 3.03046i | ||||
\(597\) | 2.43416e6 | + | 2.85421e6i | 0.279520 | + | 0.327756i | ||||
\(598\) | 1.20500e6 | − | 875483.i | 0.137795 | − | 0.100114i | ||||
\(599\) | 1.44025e7 | + | 4.67965e6i | 1.64010 | + | 0.532901i | 0.976561 | − | 0.215240i | \(-0.0690533\pi\) |
0.663540 | + | 0.748141i | \(0.269053\pi\) | |||||||
\(600\) | −1.31520e7 | + | 2.14272e7i | −1.49146 | + | 2.42990i | ||||
\(601\) | −3.74592e6 | − | 5.15581e6i | −0.423031 | − | 0.582252i | 0.543305 | − | 0.839535i | \(-0.317173\pi\) |
−0.966336 | + | 0.257283i | \(0.917173\pi\) | |||||||
\(602\) | −7.23715e6 | − | 5.25810e6i | −0.813910 | − | 0.591340i | ||||
\(603\) | −1.83126e6 | + | 1.14548e7i | −0.205095 | + | 1.28290i | ||||
\(604\) | 3.53847e6i | 0.394660i | ||||||||
\(605\) | −5.39985e6 | + | 1.45535e7i | −0.599782 | + | 1.61652i | ||||
\(606\) | −7.44712e6 | − | 1.79359e6i | −0.823771 | − | 0.198400i | ||||
\(607\) | 1.40402e6 | − | 456194.i | 0.154668 | − | 0.0502548i | −0.230659 | − | 0.973035i | \(-0.574088\pi\) |
0.385328 | + | 0.922780i | \(0.374088\pi\) | |||||||
\(608\) | 2.79667e6 | − | 3.84928e6i | 0.306819 | − | 0.422300i | ||||
\(609\) | −514680. | − | 1.24509e6i | −0.0562333 | − | 0.136038i | ||||
\(610\) | −1.55815e6 | + | 4.79550e6i | −0.169545 | + | 0.521807i | ||||
\(611\) | 340278. | − | 1.04727e6i | 0.0368749 | − | 0.113489i | ||||
\(612\) | 1.79884e6 | − | 282240.i | 0.194140 | − | 0.0304608i | ||||
\(613\) | 8.15850e6 | − | 1.12292e7i | 0.876918 | − | 1.20697i | −0.100346 | − | 0.994953i | \(-0.531995\pi\) |
0.977265 | − | 0.212022i | \(-0.0680049\pi\) | |||||||
\(614\) | −2.08128e7 | + | 6.76249e6i | −2.22797 | + | 0.723911i | ||||
\(615\) | 2.95380e6 | − | 1.22643e7i | 0.314914 | − | 1.30754i | ||||
\(616\) | 9.09497e6 | − | 8.72839e6i | 0.965717 | − | 0.926792i | ||||
\(617\) | 2.43985e6i | 0.258018i | 0.991643 | + | 0.129009i | \(0.0411796\pi\) | ||||
−0.991643 | + | 0.129009i | \(0.958820\pi\) | |||||||
\(618\) | −1.74225e6 | − | 2.23441e7i | −0.183501 | − | 2.35338i | ||||
\(619\) | 9.38770e6 | + | 6.82056e6i | 0.984765 | + | 0.715474i | 0.958768 | − | 0.284188i | \(-0.0917241\pi\) |
0.0259964 | + | 0.999662i | \(0.491724\pi\) | |||||||
\(620\) | 2.55643e7 | + | 3.51862e7i | 2.67088 | + | 3.67615i | ||||
\(621\) | −748754. | − | 1.22783e6i | −0.0779131 | − | 0.127764i | ||||
\(622\) | 2.20876e7 | + | 7.17669e6i | 2.28914 | + | 0.743786i | ||||
\(623\) | −6.79074e6 | + | 4.93376e6i | −0.700966 | + | 0.509282i | ||||
\(624\) | 2.92475e6 | − | 2.49432e6i | 0.300696 | − | 0.256442i | ||||
\(625\) | 2.77429e6 | + | 8.53838e6i | 0.284087 | + | 0.874331i | ||||
\(626\) | 8.18568e6 | 0.834871 | ||||||||
\(627\) | −8.45237e6 | − | 7.53601e6i | −0.858637 | − | 0.765548i | ||||
\(628\) | −1.83693e7 | −1.85863 | ||||||||
\(629\) | −446610. | − | 1.37452e6i | −0.0450092 | − | 0.138524i | ||||
\(630\) | 1.21694e7 | + | 2.39695e7i | 1.22157 | + | 2.40606i | ||||
\(631\) | −1.03709e7 | + | 7.53488e6i | −1.03691 | + | 0.753360i | −0.969680 | − | 0.244377i | \(-0.921417\pi\) |
−0.0672314 | + | 0.997737i | \(0.521417\pi\) | |||||||
\(632\) | −1.41553e7 | − | 4.59932e6i | −1.40970 | − | 0.458038i | ||||
\(633\) | 1.99395e6 | + | 1.22388e6i | 0.197790 | + | 0.121403i | ||||
\(634\) | 1.53251e7 | + | 2.10932e7i | 1.51419 | + | 2.08411i | ||||
\(635\) | −2.73680e7 | − | 1.98840e7i | −2.69345 | − | 1.95691i | ||||
\(636\) | 2.48374e7 | − | 1.93666e6i | 2.43480 | − | 0.189850i | ||||
\(637\) | − | 980820.i | − | 0.0957724i | ||||||
\(638\) | −375769. | − | 2.73547e6i | −0.0365484 | − | 0.266060i | ||||
\(639\) | −962443. | + | 1.88216e6i | −0.0932445 | + | 0.182350i | ||||
\(640\) | −3.11505e7 | + | 1.01214e7i | −3.00618 | + | 0.976769i | ||||
\(641\) | −1.11350e7 | + | 1.53260e7i | −1.07040 | + | 1.47328i | −0.200728 | + | 0.979647i | \(0.564331\pi\) |
−0.869671 | + | 0.493631i | \(0.835669\pi\) | |||||||
\(642\) | −1.94923e7 | + | 8.05746e6i | −1.86649 | + | 0.771543i | ||||
\(643\) | −4.60668e6 | + | 1.41779e7i | −0.439401 | + | 1.35234i | 0.449108 | + | 0.893477i | \(0.351742\pi\) |
−0.888509 | + | 0.458859i | \(0.848258\pi\) | |||||||
\(644\) | 836305. | − | 2.57388e6i | 0.0794603 | − | 0.244554i | ||||
\(645\) | 1.08226e7 | − | 4.47370e6i | 1.02431 | − | 0.423416i | ||||
\(646\) | 1.28365e6 | − | 1.76679e6i | 0.121022 | − | 0.166573i | ||||
\(647\) | 1.11214e7 | − | 3.61357e6i | 1.04448 | − | 0.339371i | 0.263979 | − | 0.964528i | \(-0.414965\pi\) |
0.780499 | + | 0.625157i | \(0.214965\pi\) | |||||||
\(648\) | −9.04354e6 | − | 1.25234e7i | −0.846060 | − | 1.17162i | ||||
\(649\) | 933842. | − | 5.20139e6i | 0.0870286 | − | 0.484739i | ||||
\(650\) | − | 2.41874e7i | − | 2.24546i | ||||||
\(651\) | 1.41833e7 | − | 1.10593e6i | 1.31167 | − | 0.102276i | ||||
\(652\) | −1.65128e7 | − | 1.19972e7i | −1.52125 | − | 1.10525i | ||||
\(653\) | 8.21505e6 | + | 1.13071e7i | 0.753924 | + | 1.03769i | 0.997695 | + | 0.0678544i | \(0.0216153\pi\) |
−0.243771 | + | 0.969833i | \(0.578385\pi\) | |||||||
\(654\) | 2.65574e6 | + | 1.63008e6i | 0.242795 | + | 0.149027i | ||||
\(655\) | −1.08090e6 | − | 351206.i | −0.0984425 | − | 0.0319859i | ||||
\(656\) | −4.08092e6 | + | 2.96496e6i | −0.370253 | + | 0.269004i | ||||
\(657\) | 3.18543e6 | − | 1.61726e6i | 0.287909 | − | 0.146172i | ||||
\(658\) | −951545. | − | 2.92855e6i | −0.0856770 | − | 0.263687i | ||||
\(659\) | 3.88498e6 | 0.348478 | 0.174239 | − | 0.984703i | \(-0.444253\pi\) | ||||
0.174239 | + | 0.984703i | \(0.444253\pi\) | |||||||
\(660\) | 7.61387e6 | + | 3.49783e7i | 0.680371 | + | 3.12564i | ||||
\(661\) | −8.87493e6 | −0.790062 | −0.395031 | − | 0.918668i | \(-0.629266\pi\) | ||||
−0.395031 | + | 0.918668i | \(0.629266\pi\) | |||||||
\(662\) | 1.20074e6 | + | 3.69551e6i | 0.106489 | + | 0.327740i | ||||
\(663\) | −614434. | + | 524008.i | −0.0542865 | + | 0.0462971i | ||||
\(664\) | 1.05789e7 | − | 7.68606e6i | 0.931156 | − | 0.676524i | ||||
\(665\) | 1.99240e7 | + | 6.47371e6i | 1.74712 | + | 0.567674i | ||||
\(666\) | −1.88342e7 | + | 1.87798e7i | −1.64537 | + | 1.64061i | ||||
\(667\) | −160627. | − | 221084.i | −0.0139799 | − | 0.0192416i | ||||
\(668\) | 1.09880e7 | + | 7.98323e6i | 0.952744 | + | 0.692209i | ||||
\(669\) | −427278. | − | 5.47977e6i | −0.0369101 | − | 0.473366i | ||||
\(670\) | − | 4.39816e7i | − | 3.78515i | ||||||
\(671\) | 956666. | + | 1.97704e6i | 0.0820264 | + | 0.169516i | ||||
\(672\) | −1.15197e6 | + | 4.78306e6i | −0.0984055 | + | 0.408586i | ||||
\(673\) | 1.09499e7 | − | 3.55783e6i | 0.931904 | − | 0.302794i | 0.196563 | − | 0.980491i | \(-0.437022\pi\) |
0.735341 | + | 0.677697i | \(0.237022\pi\) | |||||||
\(674\) | −7.48110e6 | + | 1.02968e7i | −0.634330 | + | 0.873081i | ||||
\(675\) | −2.32777e7 | − | 1.88285e6i | −1.96644 | − | 0.159058i | ||||
\(676\) | 3.72118e6 | − | 1.14526e7i | 0.313195 | − | 0.963914i | ||||
\(677\) | −1.54294e6 | + | 4.74869e6i | −0.129383 | + | 0.398200i | −0.994674 | − | 0.103069i | \(-0.967134\pi\) |
0.865291 | + | 0.501270i | \(0.167134\pi\) | |||||||
\(678\) | −5.28306e6 | − | 1.27806e7i | −0.441379 | − | 1.06777i | ||||
\(679\) | 1.25255e6 | − | 1.72399e6i | 0.104261 | − | 0.143503i | ||||
\(680\) | −3.02674e6 | + | 983449.i | −0.251017 | + | 0.0815604i | ||||
\(681\) | −9.00218e6 | − | 2.16812e6i | −0.743840 | − | 0.179150i | ||||
\(682\) | 2.86972e7 | + | 5.15221e6i | 2.36254 | + | 0.424163i | ||||
\(683\) | − | 5.47780e6i | − | 0.449319i | −0.974437 | − | 0.224659i | \(-0.927873\pi\) | ||
0.974437 | − | 0.224659i | \(-0.0721269\pi\) | |||||||
\(684\) | −2.57867e7 | − | 4.12248e6i | −2.10744 | − | 0.336914i | ||||
\(685\) | 1.88336e7 | + | 1.36834e7i | 1.53358 | + | 1.11421i | ||||
\(686\) | −1.29504e7 | − | 1.78248e7i | −1.05069 | − | 1.44615i | ||||
\(687\) | 218157. | − | 355422.i | 0.0176351 | − | 0.0287311i | ||||
\(688\) | −4.45353e6 | − | 1.44704e6i | −0.358702 | − | 0.116549i | ||||
\(689\) | −8.93857e6 | + | 6.49425e6i | −0.717332 | + | 0.521172i | ||||
\(690\) | 3.53815e6 | + | 4.14872e6i | 0.282913 | + | 0.331735i | ||||
\(691\) | −2.96672e6 | − | 9.13063e6i | −0.236364 | − | 0.727454i | −0.996938 | − | 0.0782022i | \(-0.975082\pi\) |
0.760573 | − | 0.649252i | \(-0.224918\pi\) | |||||||
\(692\) | −4.44920e7 | −3.53197 | ||||||||
\(693\) | 1.10538e7 | + | 3.86260e6i | 0.874339 | + | 0.305525i | ||||
\(694\) | 2.68870e7 | 2.11907 | ||||||||
\(695\) | −6.43793e6 | − | 1.98139e7i | −0.505573 | − | 1.55599i | ||||
\(696\) | −1.90473e6 | − | 2.23343e6i | −0.149043 | − | 0.174763i | ||||
\(697\) | 857323. | − | 622882.i | 0.0668440 | − | 0.0485650i | ||||
\(698\) | 3.91342e7 | + | 1.27155e7i | 3.04031 | + | 0.987858i | ||||
\(699\) | 1.10000e6 | − | 1.79212e6i | 0.0851528 | − | 0.138731i | ||||
\(700\) | −2.58322e7 | − | 3.55549e7i | −1.99258 | − | 2.74255i | ||||
\(701\) | −7.59425e6 | − | 5.51755e6i | −0.583700 | − | 0.424083i | 0.256356 | − | 0.966582i | \(-0.417478\pi\) |
−0.840056 | + | 0.542499i | \(0.817478\pi\) | |||||||
\(702\) | 1.37175e7 | + | 5.71689e6i | 1.05059 | + | 0.437842i | ||||
\(703\) | 2.07276e7i | 1.58183i | ||||||||
\(704\) | −8.40465e6 | + | 1.56889e7i | −0.639128 | + | 1.19305i | ||||
\(705\) | 3.91903e6 | + | 943877.i | 0.296966 | + | 0.0715225i | ||||
\(706\) | 1.38477e7 | − | 4.49938e6i | 1.04560 | − | 0.339735i | ||||
\(707\) | 3.62821e6 | − | 4.99380e6i | 0.272988 | − | 0.375736i | ||||
\(708\) | −4.65547e6 | − | 1.12623e7i | −0.349044 | − | 0.844395i | ||||
\(709\) | −3.32598e6 | + | 1.02363e7i | −0.248487 | + | 0.764765i | 0.746556 | + | 0.665322i | \(0.231706\pi\) |
−0.995043 | + | 0.0994424i | \(0.968294\pi\) | |||||||
\(710\) | 2.47675e6 | − | 7.62267e6i | 0.184390 | − | 0.567494i | ||||
\(711\) | −2.14299e6 | − | 1.36582e7i | −0.158981 | − | 1.01326i | ||||
\(712\) | −1.07493e7 | + | 1.47951e7i | −0.794656 | + | 1.09375i | ||||
\(713\) | 2.74437e6 | − | 891700.i | 0.202171 | − | 0.0656893i | ||||
\(714\) | −528748. | + | 2.19539e6i | −0.0388153 | + | 0.161164i | ||||
\(715\) | −1.09927e7 | − | 1.14544e7i | −0.804158 | − | 0.837932i | ||||
\(716\) | 1.35097e7i | 0.984831i | ||||||||
\(717\) | 2.04313e6 | + | 2.62029e7i | 0.148422 | + | 1.90349i | ||||
\(718\) | −1.25227e7 | − | 9.09828e6i | −0.906540 | − | 0.658640i | ||||
\(719\) | −2.98681e6 | − | 4.11100e6i | −0.215470 | − | 0.296568i | 0.687577 | − | 0.726112i | \(-0.258675\pi\) |
−0.903046 | + | 0.429543i | \(0.858675\pi\) | |||||||
\(720\) | 9.93578e6 | + | 9.96458e6i | 0.714283 | + | 0.716354i | ||||
\(721\) | 1.71762e7 | + | 5.58088e6i | 1.23052 | + | 0.399820i | ||||
\(722\) | −6.19096e6 | + | 4.49799e6i | −0.441992 | + | 0.321126i | ||||
\(723\) | 1.55747e7 | − | 1.32826e7i | 1.10809 | − | 0.945011i | ||||
\(724\) | −3.48095e6 | − | 1.07133e7i | −0.246803 | − | 0.759582i | ||||
\(725\) | −4.43771e6 | −0.313555 | ||||||||
\(726\) | 1.99186e7 | + | 1.33837e7i | 1.40255 | + | 0.942401i | ||||
\(727\) | 1.40886e7 | 0.988629 | 0.494314 | − | 0.869283i | \(-0.335419\pi\) | ||||
0.494314 | + | 0.869283i | \(0.335419\pi\) | |||||||
\(728\) | 3.98393e6 | + | 1.22613e7i | 0.278601 | + | 0.857447i | ||||
\(729\) | 6.56971e6 | − | 1.27566e7i | 0.457855 | − | 0.889027i | ||||
\(730\) | −1.09579e7 | + | 7.96142e6i | −0.761066 | + | 0.552947i | ||||
\(731\) | 935602. | + | 303996.i | 0.0647586 | + | 0.0210414i | ||||
\(732\) | 4.31666e6 | + | 2.64955e6i | 0.297763 | + | 0.182766i | ||||
\(733\) | 2.00607e6 | + | 2.76112e6i | 0.137907 | + | 0.189813i | 0.872384 | − | 0.488820i | \(-0.162573\pi\) |
−0.734477 | + | 0.678633i | \(0.762573\pi\) | |||||||
\(734\) | −8.77745e6 | − | 6.37719e6i | −0.601352 | − | 0.436907i | ||||
\(735\) | 3.57968e6 | − | 279121.i | 0.244414 | − | 0.0190578i | ||||
\(736\) | 997912.i | 0.0679044i | ||||||||
\(737\) | −1.32651e7 | − | 1.38222e7i | −0.899583 | − | 0.937365i | ||||
\(738\) | −1.73635e7 | − | 8.87880e6i | −1.17353 | − | 0.600086i | ||||
\(739\) | −2.24982e7 | + | 7.31012e6i | −1.51544 | + | 0.492395i | −0.944475 | − | 0.328583i | \(-0.893429\pi\) |
−0.570960 | + | 0.820978i | \(0.693429\pi\) | |||||||
\(740\) | 3.85138e7 | − | 5.30097e7i | 2.58546 | − | 3.55857i | ||||
\(741\) | 1.07031e7 | − | 4.42430e6i | 0.716084 | − | 0.296005i | ||||
\(742\) | −9.54745e6 | + | 2.93840e7i | −0.636616 | + | 1.95930i | ||||
\(743\) | −3.78094e6 | + | 1.16365e7i | −0.251263 | + | 0.773307i | 0.743280 | + | 0.668980i | \(0.233269\pi\) |
−0.994543 | + | 0.104327i | \(0.966731\pi\) | |||||||
\(744\) | 2.86445e7 | − | 1.18407e7i | 1.89718 | − | 0.784230i | ||||
\(745\) | −2.63691e7 | + | 3.62940e7i | −1.74063 | + | 2.39577i | ||||
\(746\) | 1.10177e7 | − | 3.57987e6i | 0.724844 | − | 0.235516i | ||||
\(747\) | 1.08145e7 | + | 5.53001e6i | 0.709099 | + | 0.362597i | ||||
\(748\) | −1.42001e6 | + | 2.65072e6i | −0.0927976 | + | 0.173224i | ||||
\(749\) | − | 1.69965e7i | − | 1.10702i | ||||||
\(750\) | 4.35310e7 | − | 3.39427e6i | 2.82583 | − | 0.220340i | ||||
\(751\) | 5.82098e6 | + | 4.22919e6i | 0.376614 | + | 0.273626i | 0.759948 | − | 0.649984i | \(-0.225224\pi\) |
−0.383334 | + | 0.923610i | \(0.625224\pi\) | |||||||
\(752\) | −947444. | − | 1.30405e6i | −0.0610955 | − | 0.0840907i | ||||
\(753\) | −932864. | − | 572589.i | −0.0599557 | − | 0.0368006i | ||||
\(754\) | 2.68572e6 | + | 872642.i | 0.172041 | + | 0.0558995i | ||||
\(755\) | 4.64763e6 | − | 3.37670e6i | 0.296732 | − | 0.215588i | ||||
\(756\) | 2.62701e7 | − | 6.24661e6i | 1.67170 | − | 0.397502i | ||||
\(757\) | −4.24655e6 | − | 1.30695e7i | −0.269338 | − | 0.828936i | −0.990662 | − | 0.136339i | \(-0.956466\pi\) |
0.721325 | − | 0.692597i | \(-0.243534\pi\) | |||||||
\(758\) | 3.09086e7 | 1.95392 | ||||||||
\(759\) | 2.36322e6 | + | 236703.i | 0.148902 | + | 0.0149142i | ||||
\(760\) | 4.56428e7 | 2.86641 | ||||||||
\(761\) | 4.19040e6 | + | 1.28967e7i | 0.262298 | + | 0.807269i | 0.992304 | + | 0.123828i | \(0.0395172\pi\) |
−0.730006 | + | 0.683441i | \(0.760483\pi\) | |||||||
\(762\) | −3.97913e7 | + | 3.39352e7i | −2.48256 | + | 2.11720i | ||||
\(763\) | −2.03147e6 | + | 1.47595e6i | −0.126328 | + | 0.0917826i | ||||
\(764\) | −2.31351e7 | − | 7.51704e6i | −1.43396 | − | 0.465922i | ||||
\(765\) | −2.08732e6 | − | 2.09337e6i | −0.128954 | − | 0.129328i | ||||
\(766\) | −1.82839e6 | − | 2.51657e6i | −0.112589 | − | 0.154966i | ||||
\(767\) | 4.37249e6 | + | 3.17680e6i | 0.268374 | + | 0.194985i | ||||
\(768\) | 2.21640e6 | + | 2.84250e7i | 0.135596 | + | 1.73899i | ||||
\(769\) | − | 1.32723e7i | − | 0.809339i | −0.914463 | − | 0.404669i | \(-0.867387\pi\) | ||
0.914463 | − | 0.404669i | \(-0.132613\pi\) | |||||||
\(770\) | −4.36963e7 | − | 7.84510e6i | −2.65594 | − | 0.476839i | ||||
\(771\) | 2.09264e6 | − | 8.68877e6i | 0.126782 | − | 0.526408i | ||||
\(772\) | −1.99852e7 | + | 6.49358e6i | −1.20688 | + | 0.392140i | ||||
\(773\) | −8.15315e6 | + | 1.12219e7i | −0.490769 | + | 0.675485i | −0.980530 | − | 0.196372i | \(-0.937084\pi\) |
0.489761 | + | 0.871857i | \(0.337084\pi\) | |||||||
\(774\) | −2.80621e6 | − | 1.78852e7i | −0.168371 | − | 1.07310i | ||||
\(775\) | 1.44803e7 | − | 4.45659e7i | 0.866013 | − | 2.66531i | ||||
\(776\) | 1.43470e6 | − | 4.41554e6i | 0.0855275 | − | 0.263227i | ||||
\(777\) | −8.18760e6 | − | 1.98072e7i | −0.486524 | − | 1.17698i | ||||
\(778\) | −2.55784e7 | + | 3.52056e7i | −1.51504 | + | 2.08527i | ||||
\(779\) | −1.44543e7 | + | 4.69647e6i | −0.853399 | + | 0.277286i | ||||
\(780\) | −3.55934e7 | − | 8.57247e6i | −2.09475 | − | 0.504510i | ||||
\(781\) | −1.52066e6 | − | 3.14260e6i | −0.0892083 | − | 0.184358i | ||||
\(782\) | 458035.i | 0.0267844i | ||||||||
\(783\) | 1.04889e6 | − | 2.51678e6i | 0.0611400 | − | 0.146703i | ||||
\(784\) | −1.16153e6 | − | 843899.i | −0.0674900 | − | 0.0490344i | ||||
\(785\) | 1.75295e7 | + | 2.41273e7i | 1.01530 | + | 1.39744i | ||||
\(786\) | −919105. | + | 1.49741e6i | −0.0530651 | + | 0.0864539i | ||||
\(787\) | −1.42304e7 | − | 4.62374e6i | −0.818994 | − | 0.266107i | −0.130592 | − | 0.991436i | \(-0.541688\pi\) |
−0.688403 | + | 0.725329i | \(0.741688\pi\) | |||||||
\(788\) | −2.84128e7 | + | 2.06431e7i | −1.63004 | + | 1.18429i | ||||
\(789\) | −1.07482e7 | − | 1.26030e7i | −0.614674 | − | 0.720746i | ||||
\(790\) | 1.61980e7 | + | 4.98523e7i | 0.923407 | + | 2.84196i | ||||
\(791\) | 1.11441e7 | 0.633294 | ||||||||
\(792\) | 2.55050e7 | + | 561510.i | 1.44482 | + | 0.0318086i | ||||
\(793\) | −2.24627e6 | −0.126847 | ||||||||
\(794\) | 2.11282e6 | + | 6.50259e6i | 0.118935 | + | 0.366045i | ||||
\(795\) | −2.62457e7 | − | 3.07748e7i | −1.47279 | − | 1.72694i | ||||
\(796\) | −1.15580e7 | + | 8.39735e6i | −0.646544 | + | 0.469742i | ||||
\(797\) | −7.67016e6 | − | 2.49219e6i | −0.427719 | − | 0.138974i | 0.0872435 | − | 0.996187i | \(-0.472194\pi\) |
−0.514963 | + | 0.857213i | \(0.672194\pi\) | |||||||
\(798\) | 1.69417e7 | − | 2.76015e7i | 0.941780 | − | 1.53435i | ||||
\(799\) | 199040. | + | 273955.i | 0.0110299 | + | 0.0151814i | ||||
\(800\) | 1.31102e7 | + | 9.52513e6i | 0.724244 | + | 0.526194i | ||||
\(801\) | −1.67743e7 | − | 2.68168e6i | −0.923768 | − | 0.147681i | ||||
\(802\) | − | 2.05293e7i | − | 1.12704i | ||||||
\(803\) | −1.04258e6 | + | 5.80704e6i | −0.0570584 | + | 0.317809i | ||||
\(804\) | −4.29510e7 | − | 1.03445e7i | −2.34333 | − | 0.564377i | ||||
\(805\) | −4.17876e6 | + | 1.35776e6i | −0.227278 | + | 0.0738472i | ||||
\(806\) | −1.75271e7 | + | 2.41240e7i | −0.950326 | + | 1.30801i | ||||
\(807\) | −1.59051e6 | − | 3.84770e6i | −0.0859711 | − | 0.207978i | ||||
\(808\) | 4.15582e6 | − | 1.27903e7i | 0.223938 | − | 0.689211i | ||||
\(809\) | 2.80769e6 | − | 8.64117e6i | 0.150826 | − | 0.464196i | −0.846888 | − | 0.531772i | \(-0.821526\pi\) |
0.997714 | + | 0.0675758i | \(0.0215265\pi\) | |||||||
\(810\) | −1.69611e7 | + | 5.16914e7i | −0.908327 | + | 2.76825i | ||||
\(811\) | 5.74282e6 | − | 7.90432e6i | 0.306601 | − | 0.422000i | −0.627717 | − | 0.778442i | \(-0.716010\pi\) |
0.934317 | + | 0.356442i | \(0.116010\pi\) | |||||||
\(812\) | 4.87993e6 | − | 1.58558e6i | 0.259731 | − | 0.0843916i | ||||
\(813\) | −2.60023e6 | + | 1.07963e7i | −0.137970 | + | 0.572861i | ||||
\(814\) | −5.97779e6 | − | 4.35162e7i | −0.316213 | − | 2.30192i | ||||
\(815\) | 3.31376e7i | 1.74754i | ||||||||
\(816\) | 91891.7 | + | 1.17850e6i | 0.00483116 | + | 0.0619588i | ||||
\(817\) | −1.14142e7 | − | 8.29290e6i | −0.598260 | − | 0.434661i | ||||
\(818\) | 2.99038e7 | + | 4.11591e7i | 1.56258 | + | 2.15071i | ||||
\(819\) | −8.48019e6 | + | 8.45568e6i | −0.441769 | + | 0.440493i | ||||
\(820\) | 4.56925e7 | + | 1.48464e7i | 2.37307 | + | 0.771057i | ||||
\(821\) | 2.45033e7 | − | 1.78027e7i | 1.26873 | − | 0.921783i | 0.269574 | − | 0.962980i | \(-0.413117\pi\) |
0.999151 | + | 0.0411969i | \(0.0131171\pi\) | |||||||
\(822\) | 2.73828e7 | − | 2.33528e7i | 1.41351 | − | 1.20548i | ||||
\(823\) | 1.09180e7 | + | 3.36022e7i | 0.561880 | + | 1.72929i | 0.677044 | + | 0.735943i | \(0.263261\pi\) |
−0.115163 | + | 0.993347i | \(0.536739\pi\) | |||||||
\(824\) | 3.93479e7 | 2.01885 | ||||||||
\(825\) | 2.56668e7 | − | 2.87878e7i | 1.31292 | − | 1.47256i | ||||
\(826\) | 1.51135e7 | 0.770754 | ||||||||
\(827\) | −1.19820e7 | − | 3.68769e7i | −0.609210 | − | 1.87496i | −0.464740 | − | 0.885447i | \(-0.653852\pi\) |
−0.144471 | − | 0.989509i | \(-0.546148\pi\) | |||||||
\(828\) | 4.88368e6 | − | 2.47946e6i | 0.247555 | − | 0.125685i | ||||
\(829\) | 1.65302e7 | − | 1.20099e7i | 0.835396 | − | 0.606951i | −0.0856847 | − | 0.996322i | \(-0.527308\pi\) |
0.921081 | + | 0.389372i | \(0.127308\pi\) | |||||||
\(830\) | −4.37984e7 | − | 1.42310e7i | −2.20680 | − | 0.717033i | ||||
\(831\) | 9.70822e6 | + | 5.95887e6i | 0.487682 | + | 0.299338i | ||||
\(832\) | −1.06994e7 | − | 1.47265e7i | −0.535860 | − | 0.737548i | ||||
\(833\) | 244015. | + | 177287.i | 0.0121844 | + | 0.00885248i | ||||
\(834\) | −3.21096e7 | + | 2.50371e6i | −1.59853 | + | 0.124643i | ||||
\(835\) | − | 2.20505e7i | − | 1.09447i | ||||||
\(836\) | 3.11162e7 | − | 2.98620e7i | 1.53982 | − | 1.47776i | ||||
\(837\) | 2.18523e7 | + | 1.87458e7i | 1.07816 | + | 0.924892i | ||||
\(838\) | −1.55585e7 | + | 5.05527e6i | −0.765347 | + | 0.248676i | ||||
\(839\) | 1.58020e7 | − | 2.17496e7i | 0.775012 | − | 1.06671i | −0.220803 | − | 0.975318i | \(-0.570868\pi\) |
0.995815 | − | 0.0913938i | \(-0.0291322\pi\) | |||||||
\(840\) | −4.36160e7 | + | 1.80294e7i | −2.13279 | + | 0.881622i | ||||
\(841\) | −6.17819e6 | + | 1.90145e7i | −0.301211 | + | 0.927033i | ||||
\(842\) | 8.93905e6 | − | 2.75116e7i | 0.434521 | − | 1.33732i | ||||
\(843\) | −1.87565e7 | + | 7.75330e6i | −0.909040 | + | 0.375766i | ||||
\(844\) | −5.23732e6 | + | 7.20856e6i | −0.253077 | + | 0.348331i | ||||
\(845\) | −1.85936e7 | + | 6.04143e6i | −0.895823 | + | 0.291070i | ||||
\(846\) | 2.83720e6 | − | 5.54844e6i | 0.136290 | − | 0.266530i | ||||
\(847\) | −1.60987e7 | + | 1.07135e7i | −0.771049 | + | 0.513127i | ||||
\(848\) | 1.61731e7i | 0.772331i | ||||||||
\(849\) | −3.11473e7 | + | 2.42867e6i | −1.48303 | + | 0.115637i | ||||
\(850\) | 6.01750e6 | + | 4.37197e6i | 0.285673 | + | 0.207553i | ||||
\(851\) | −2.55527e6 | − | 3.51703e6i | −0.120952 | − | 0.166476i | ||||
\(852\) | −6.86152e6 | − | 4.21158e6i | −0.323833 | − | 0.198768i | ||||
\(853\) | −7.89282e6 | − | 2.56453e6i | −0.371415 | − | 0.120680i | 0.117361 | − | 0.993089i | \(-0.462557\pi\) |
−0.488776 | + | 0.872409i | \(0.662557\pi\) | |||||||
\(854\) | −5.08177e6 | + | 3.69212e6i | −0.238435 | + | 0.173233i | ||||
\(855\) | 1.91932e7 | + | 3.78038e7i | 0.897907 | + | 1.76856i | ||||
\(856\) | −1.14431e7 | − | 3.52181e7i | −0.533775 | − | 1.64279i | ||||
\(857\) | −3.64231e7 | −1.69404 | −0.847021 | − | 0.531559i | \(-0.821606\pi\) | ||||
−0.847021 | + | 0.531559i | \(0.821606\pi\) | |||||||
\(858\) | −2.11945e7 | + | 1.23753e7i | −0.982892 | + | 0.573902i | ||||
\(859\) | 9.11498e6 | 0.421476 | 0.210738 | − | 0.977543i | \(-0.432413\pi\) | ||||
0.210738 | + | 0.977543i | \(0.432413\pi\) | |||||||
\(860\) | 1.37822e7 | + | 4.24173e7i | 0.635438 | + | 1.95568i | ||||
\(861\) | 1.19573e7 | − | 1.01975e7i | 0.549697 | − | 0.468798i | ||||
\(862\) | 1.28078e7 | − | 9.30542e6i | 0.587093 | − | 0.426548i | ||||
\(863\) | −1.49151e7 | − | 4.84622e6i | −0.681710 | − | 0.221501i | −0.0523662 | − | 0.998628i | \(-0.516676\pi\) |
−0.629344 | + | 0.777127i | \(0.716676\pi\) | |||||||
\(864\) | −8.50074e6 | + | 5.18391e6i | −0.387411 | + | 0.236251i | ||||
\(865\) | 4.24580e7 | + | 5.84384e7i | 1.92939 | + | 2.65557i | ||||
\(866\) | −1.61426e7 | − | 1.17283e7i | −0.731438 | − | 0.531421i | ||||
\(867\) | 1.70129e6 | + | 2.18188e7i | 0.0768655 | + | 0.985788i | ||||
\(868\) | 5.41807e7i | 2.44087i | ||||||||
\(869\) | 2.01263e7 | + | 1.07818e7i | 0.904096 | + | 0.484331i | ||||
\(870\) | −2.42057e6 | + | 1.00503e7i | −0.108422 | + | 0.450176i | ||||
\(871\) | 1.86342e7 | − | 6.05463e6i | 0.832274 | − | 0.270422i | ||||
\(872\) | −3.21568e6 | + | 4.42600e6i | −0.143213 | + | 0.197115i | ||||
\(873\) | 4.26050e6 | − | 668477.i | 0.189202 | − | 0.0296860i | ||||
\(874\) | 2.02994e6 | − | 6.24752e6i | 0.0898887 | − | 0.276649i | ||||
\(875\) | −1.08727e7 | + | 3.34628e7i | −0.480085 | + | 1.47755i | ||||
\(876\) | 5.19755e6 | + | 1.25737e7i | 0.228843 | + | 0.553610i | ||||
\(877\) | 1.26723e7 | − | 1.74419e7i | 0.556361 | − | 0.765766i | −0.434497 | − | 0.900673i | \(-0.643074\pi\) |
0.990858 | + | 0.134908i | \(0.0430738\pi\) | |||||||
\(878\) | 4.84013e7 | − | 1.57265e7i | 2.11895 | − | 0.688488i | ||||
\(879\) | 3.20831e7 | + | 7.72702e6i | 1.40057 | + | 0.337318i | ||||
\(880\) | −2.30230e7 | + | 3.16265e6i | −1.00220 | + | 0.137672i | ||||
\(881\) | − | 2.85398e7i | − | 1.23883i | −0.785065 | − | 0.619413i | \(-0.787371\pi\) | ||
0.785065 | − | 0.619413i | \(-0.212629\pi\) | |||||||
\(882\) | 876255. | − | 5.48111e6i | 0.0379279 | − | 0.237245i | ||||
\(883\) | −1.84629e7 | − | 1.34141e7i | −0.796890 | − | 0.578975i | 0.113110 | − | 0.993582i | \(-0.463919\pi\) |
−0.910000 | + | 0.414608i | \(0.863919\pi\) | |||||||
\(884\) | −1.80772e6 | − | 2.48811e6i | −0.0778037 | − | 0.107088i | ||||
\(885\) | −1.03500e7 | + | 1.68622e7i | −0.444203 | + | 0.723698i | ||||
\(886\) | −3.57515e7 | − | 1.16164e7i | −1.53007 | − | 0.497149i | ||||
\(887\) | 2.35627e7 | − | 1.71193e7i | 1.00558 | − | 0.730595i | 0.0423004 | − | 0.999105i | \(-0.486531\pi\) |
0.963277 | + | 0.268510i | \(0.0865313\pi\) | |||||||
\(888\) | −3.03008e7 | − | 3.55297e7i | −1.28950 | − | 1.51202i | ||||
\(889\) | −1.30226e7 | − | 4.00795e7i | −0.552641 | − | 1.70086i | ||||
\(890\) | 6.44062e7 | 2.72554 | ||||||||
\(891\) | 1.02600e7 | + | 2.13608e7i | 0.432965 | + | 0.901411i | ||||
\(892\) | 2.09329e7 | 0.880881 | ||||||||
\(893\) | −1.50074e6 | − | 4.61881e6i | −0.0629764 | − | 0.193821i | ||||
\(894\) | 4.50030e7 | + | 5.27690e7i | 1.88321 | + | 2.20818i | ||||
\(895\) | 1.77444e7 | − | 1.28920e7i | 0.740463 | − | 0.537978i | ||||
\(896\) | −3.88057e7 | − | 1.26087e7i | −1.61482 | − | 0.524688i | ||||
\(897\) | −1.27067e6 | + | 2.07018e6i | −0.0527292 | + | 0.0859066i | ||||
\(898\) | −3.04784e7 | − | 4.19500e7i | −1.26125 | − | 1.73596i | ||||
\(899\) | 4.42607e6 | + | 3.21573e6i | 0.182650 | + | 0.132703i | ||||
\(900\) | 1.40407e7 | − | 8.78267e7i | 0.577807 | − | 3.61427i | ||||
\(901\) | − | 3.39766e6i | − | 0.139434i | ||||||
\(902\) | 2.89914e7 | − | 1.40285e7i | 1.18646 | − | 0.574111i | ||||
\(903\) | 1.41831e7 | + | 3.41592e6i | 0.578832 | + | 0.139408i | ||||
\(904\) | 2.30916e7 | − | 7.50292e6i | 0.939795 | − | 0.305358i | ||||
\(905\) | −1.07496e7 | + | 1.47956e7i | −0.436286 | + | 0.600496i | ||||
\(906\) | −3.39268e6 | − | 8.20744e6i | −0.137316 | − | 0.332190i | ||||
\(907\) | 1.52393e6 | − | 4.69019e6i | 0.0615103 | − | 0.189309i | −0.915579 | − | 0.402137i | \(-0.868267\pi\) |
0.977090 | + | 0.212828i | \(0.0682674\pi\) | |||||||
\(908\) | 1.08974e7 | − | 3.35389e7i | 0.438642 | − | 1.35000i | ||||
\(909\) | 1.23412e7 | − | 1.93635e6i | 0.495390 | − | 0.0777273i | ||||
\(910\) | 2.66879e7 | − | 3.67328e7i | 1.06835 | − | 1.47045i | ||||
\(911\) | −3.33982e7 | + | 1.08517e7i | −1.33330 | + | 0.433215i | −0.887041 | − | 0.461690i | \(-0.847243\pi\) |
−0.446257 | + | 0.894905i | \(0.647243\pi\) | |||||||
\(912\) | 3.96953e6 | − | 1.64817e7i | 0.158035 | − | 0.656170i | ||||
\(913\) | −1.80568e7 | + | 8.73743e6i | −0.716908 | + | 0.346902i | ||||
\(914\) | 2.16576e7i | 0.857523i | ||||||||
\(915\) | −639242. | − | 8.19818e6i | −0.0252414 | − | 0.323716i | ||||
\(916\) | 1.28493e6 | + | 933557.i | 0.0505989 | + | 0.0367622i | ||||
\(917\) | −832200. | − | 1.14542e6i | −0.0326817 | − | 0.0449825i | ||||
\(918\) | −3.90178e6 | + | 2.37938e6i | −0.152812 | + | 0.0931874i | ||||
\(919\) | 1.35936e7 | + | 4.41684e6i | 0.530942 | + | 0.172514i | 0.562205 | − | 0.826998i | \(-0.309953\pi\) |
−0.0312632 | + | 0.999511i | \(0.509953\pi\) | |||||||
\(920\) | −7.74462e6 | + | 5.62680e6i | −0.301669 | + | 0.219175i | ||||
\(921\) | 2.71546e7 | − | 2.31583e7i | 1.05486 | − | 0.899615i | ||||
\(922\) | 279162. | + | 859173.i | 0.0108151 | + | 0.0332854i | ||||
\(923\) | 3.57055e6 | 0.137953 | ||||||||
\(924\) | −1.79387e7 | + | 4.08272e7i | −0.691211 | + | 1.57315i | ||||
\(925\) | −7.05958e7 | −2.71284 | ||||||||
\(926\) | 1.21134e7 | + | 3.72813e7i | 0.464237 | + | 1.42877i | ||||
\(927\) | 1.65461e7 | + | 3.25901e7i | 0.632406 | + | 1.24562i | ||||
\(928\) | −1.53065e6 | + | 1.11208e6i | −0.0583451 | + | 0.0423902i | ||||
\(929\) | 1.84838e7 | + | 6.00577e6i | 0.702673 | + | 0.228312i | 0.638495 | − | 0.769626i | \(-0.279557\pi\) |
0.0641780 | + | 0.997938i | \(0.479557\pi\) | |||||||
\(930\) | −9.30327e7 | − | 5.71031e7i | −3.52718 | − | 2.16497i | ||||
\(931\) | −2.54261e6 | − | 3.49960e6i | −0.0961404 | − | 0.132326i | ||||
\(932\) | 6.47892e6 | + | 4.70721e6i | 0.244322 | + | 0.177510i | ||||
\(933\) | −3.77599e7 | + | 2.94428e6i | −1.42013 | + | 0.110732i | ||||
\(934\) | 2.02606e7i | 0.759949i | ||||||||
\(935\) | 4.83670e6 | − | 664413.i | 0.180934 | − | 0.0248547i | ||||
\(936\) | −1.18788e7 | + | 2.32302e7i | −0.443182 | + | 0.866691i | ||||
\(937\) | 2.08876e7 | − | 6.78679e6i | 0.777211 | − | 0.252531i | 0.106562 | − | 0.994306i | \(-0.466016\pi\) |
0.670649 | + | 0.741775i | \(0.266016\pi\) | |||||||
\(938\) | 3.22047e7 | − | 4.43259e7i | 1.19512 | − | 1.64494i | ||||
\(939\) | −1.23369e7 | + | 5.09966e6i | −0.456607 | + | 0.188746i | ||||
\(940\) | −4.74412e6 | + | 1.46009e7i | −0.175120 | + | 0.538964i | ||||
\(941\) | 8.32276e6 | − | 2.56148e7i | 0.306403 | − | 0.943012i | −0.672747 | − | 0.739873i | \(-0.734886\pi\) |
0.979150 | − | 0.203139i | \(-0.0651143\pi\) | |||||||
\(942\) | 4.26073e7 | − | 1.76124e7i | 1.56443 | − | 0.646683i | ||||
\(943\) | 1.87361e6 | − | 2.57880e6i | 0.0686119 | − | 0.0944361i | ||||
\(944\) | 7.52420e6 | − | 2.44476e6i | 0.274809 | − | 0.0892908i | ||||
\(945\) | −3.32738e7 | − | 2.85437e7i | −1.21206 | − | 1.03975i | ||||
\(946\) | 2.63550e7 | + | 1.41186e7i | 0.957493 | + | 0.512936i | ||||
\(947\) | 1.70260e6i | 0.0616932i | 0.999524 | + | 0.0308466i | \(0.00982033\pi\) | ||||
−0.999524 | + | 0.0308466i | \(0.990180\pi\) | |||||||
\(948\) | 5.24939e7 | − | 4.09314e6i | 1.89709 | − | 0.147923i | ||||
\(949\) | −4.88162e6 | − | 3.54670e6i | −0.175954 | − | 0.127838i | ||||
\(950\) | −6.27018e7 | − | 8.63016e7i | −2.25409 | − | 3.10249i | ||||
\(951\) | −3.62380e7 | − | 2.22428e7i | −1.29931 | − | 0.797512i | ||||
\(952\) | −3.77055e6 | − | 1.22513e6i | −0.134838 | − | 0.0438116i | ||||
\(953\) | −3.84161e7 | + | 2.79109e7i | −1.37019 | + | 0.995501i | −0.372468 | + | 0.928045i | \(0.621488\pi\) |
−0.997722 | + | 0.0674561i | \(0.978512\pi\) | |||||||
\(954\) | −5.57532e7 | + | 2.83061e7i | −1.98335 | + | 1.00695i | ||||
\(955\) | 1.22041e7 | + | 3.75604e7i | 0.433009 | + | 1.33267i | ||||
\(956\) | −1.00096e8 | −3.54218 | ||||||||
\(957\) | 2.27052e6 | + | 3.88860e6i | 0.0801393 | + | 0.137250i | ||||
\(958\) | −3.19723e7 | −1.12554 | ||||||||
\(959\) | 8.96163e6 | + | 2.75811e7i | 0.314659 | + | 0.968422i | ||||
\(960\) | 5.07021e7 | − | 4.32403e7i | 1.77561 | − | 1.51429i | ||||
\(961\) | −2.35750e7 | + | 1.71283e7i | −0.823463 | + | 0.598281i | ||||
\(962\) | 4.27248e7 | + | 1.38821e7i | 1.48848 | + | 0.483636i | ||||
\(963\) | 2.43577e7 | − | 2.42873e7i | 0.846390 | − | 0.843943i | ||||
\(964\) | 4.58222e7 | + | 6.30688e7i | 1.58812 | + | 2.18586i | ||||
\(965\) | 2.76006e7 | + | 2.00530e7i | 0.954114 | + | 0.693204i | ||||
\(966\) | 528033. | + | 6.77194e6i | 0.0182062 | + | 0.233491i | ||||
\(967\) | 1.33415e7i | 0.458815i | 0.973330 | + | 0.229407i | \(0.0736788\pi\) | ||||
−0.973330 | + | 0.229407i | \(0.926321\pi\) | |||||||
\(968\) | −2.61448e7 | + | 3.30380e7i | −0.896803 | + | 1.13325i | ||||
\(969\) | −833923. | + | 3.46250e6i | −0.0285310 | + | 0.118462i | ||||
\(970\) | −1.55507e7 | + | 5.05274e6i | −0.530667 | + | 0.172424i | ||||
\(971\) | −2.04468e7 | + | 2.81426e7i | −0.695949 | + | 0.957892i | 0.304037 | + | 0.952660i | \(0.401665\pi\) |
−0.999986 | + | 0.00523162i | \(0.998335\pi\) | |||||||
\(972\) | 4.64909e7 | + | 2.87216e7i | 1.57835 | + | 0.975085i | ||||
\(973\) | 8.02002e6 | − | 2.46831e7i | 0.271577 | − | 0.835829i | ||||
\(974\) | −2.05178e7 | + | 6.31472e7i | −0.692999 | + | 2.13283i | ||||
\(975\) | 1.50687e7 | + | 3.64536e7i | 0.507649 | + | 1.22809i | ||||
\(976\) | −1.93270e6 | + | 2.66013e6i | −0.0649441 | + | 0.0893879i | ||||
\(977\) | 1.84100e7 | − | 5.98176e6i | 0.617045 | − | 0.200490i | 0.0162169 | − | 0.999868i | \(-0.494838\pi\) |
0.600828 | + | 0.799379i | \(0.294838\pi\) | |||||||
\(978\) | 4.98042e7 | + | 1.19950e7i | 1.66502 | + | 0.401010i | ||||
\(979\) | 2.02411e7 | − | 1.94253e7i | 0.674960 | − | 0.647754i | ||||
\(980\) | 1.36745e7i | 0.454826i | ||||||||
\(981\) | −5.01808e6 | − | 802232.i | −0.166481 | − | 0.0266151i | ||||
\(982\) | −2.36512e7 | − | 1.71836e7i | −0.782662 | − | 0.568637i | ||||
\(983\) | 2.98011e7 | + | 4.10177e7i | 0.983667 | + | 1.35390i | 0.934830 | + | 0.355095i | \(0.115552\pi\) |
0.0488374 | + | 0.998807i | \(0.484448\pi\) | |||||||
\(984\) | 1.79109e7 | − | 2.91804e7i | 0.589696 | − | 0.960736i | ||||
\(985\) | 5.42277e7 | + | 1.76196e7i | 1.78086 | + | 0.578637i | ||||
\(986\) | −702556. | + | 510437.i | −0.0230138 | + | 0.0167205i | ||||
\(987\) | 3.25858e6 | + | 3.82090e6i | 0.106472 | + | 0.124846i | ||||
\(988\) | 1.36300e7 | + | 4.19490e7i | 0.444227 | + | 1.36719i | ||||
\(989\) | 2.95909e6 | 0.0961982 | ||||||||
\(990\) | −5.11974e7 | − | 7.38316e7i | −1.66020 | − | 2.39416i | ||||
\(991\) | −1.84861e7 | −0.597943 | −0.298972 | − | 0.954262i | \(-0.596644\pi\) | ||||
−0.298972 | + | 0.954262i | \(0.596644\pi\) | |||||||
\(992\) | −6.17358e6 | − | 1.90003e7i | −0.199186 | − | 0.613030i | ||||
\(993\) | −4.11197e6 | − | 4.82156e6i | −0.132336 | − | 0.155172i | ||||
\(994\) | 8.07770e6 | − | 5.86879e6i | 0.259311 | − | 0.188401i | ||||
\(995\) | 2.20591e7 | + | 7.16745e6i | 0.706368 | + | 0.229513i | ||||
\(996\) | −2.41989e7 | + | 3.94250e7i | −0.772943 | + | 1.25928i | ||||
\(997\) | −5.95739e6 | − | 8.19964e6i | −0.189809 | − | 0.261250i | 0.703497 | − | 0.710698i | \(-0.251621\pi\) |
−0.893307 | + | 0.449448i | \(0.851621\pi\) | |||||||
\(998\) | −3.33561e7 | − | 2.42346e7i | −1.06011 | − | 0.770212i | ||||
\(999\) | 1.66859e7 | − | 4.00373e7i | 0.528976 | − | 1.26926i |
(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 | 33.6.f.a.17.2 | yes | 72 | |
3.2 | odd | 2 | inner | 33.6.f.a.17.17 | yes | 72 | |
11.2 | odd | 10 | inner | 33.6.f.a.2.17 | yes | 72 | |
33.2 | even | 10 | inner | 33.6.f.a.2.2 | ✓ | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
33.6.f.a.2.2 | ✓ | 72 | 33.2 | even | 10 | inner | |
33.6.f.a.2.17 | yes | 72 | 11.2 | odd | 10 | inner | |
33.6.f.a.17.2 | yes | 72 | 1.1 | even | 1 | trivial | |
33.6.f.a.17.17 | yes | 72 | 3.2 | odd | 2 | inner |