Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,8,Mod(5,69)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(69, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 1]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.5");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.g (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(21.5545667584\) |
Analytic rank: | \(0\) |
Dimension: | \(540\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 5.12 | ||
Character | \(\chi\) | \(=\) | 69.5 |
Dual form | 69.8.g.a.14.12 |
$q$-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 \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{1}{22}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.89080 | + | 13.2509i | −0.343902 | + | 1.17122i | 0.588106 | + | 0.808784i | \(0.299874\pi\) |
−0.932008 | + | 0.362438i | \(0.881944\pi\) | |||||||
\(3\) | −38.0703 | − | 27.1597i | −0.814071 | − | 0.580766i | ||||
\(4\) | −52.7665 | − | 33.9110i | −0.412238 | − | 0.264930i | ||||
\(5\) | −31.2611 | + | 217.426i | −0.111843 | + | 0.777887i | 0.854281 | + | 0.519811i | \(0.173998\pi\) |
−0.966125 | + | 0.258076i | \(0.916911\pi\) | |||||||
\(6\) | 508.014 | − | 398.791i | 0.960166 | − | 0.753731i | ||||
\(7\) | 454.818 | − | 207.708i | 0.501180 | − | 0.228881i | −0.148750 | − | 0.988875i | \(-0.547525\pi\) |
0.649931 | + | 0.759993i | \(0.274798\pi\) | |||||||
\(8\) | −681.296 | + | 590.346i | −0.470458 | + | 0.407654i | ||||
\(9\) | 711.698 | + | 2067.96i | 0.325422 | + | 0.945569i | ||||
\(10\) | −2759.45 | − | 1260.20i | −0.872615 | − | 0.398510i | ||||
\(11\) | −3943.72 | + | 1157.98i | −0.893370 | + | 0.262317i | −0.696025 | − | 0.718017i | \(-0.745050\pi\) |
−0.197344 | + | 0.980334i | \(0.563232\pi\) | |||||||
\(12\) | 1087.82 | + | 2724.13i | 0.181729 | + | 0.455085i | ||||
\(13\) | −4741.43 | + | 10382.3i | −0.598560 | + | 1.31066i | 0.331569 | + | 0.943431i | \(0.392422\pi\) |
−0.930129 | + | 0.367233i | \(0.880305\pi\) | |||||||
\(14\) | 982.707 | + | 6834.88i | 0.0957141 | + | 0.665706i | ||||
\(15\) | 7095.36 | − | 7428.43i | 0.542819 | − | 0.568300i | ||||
\(16\) | −8507.02 | − | 18627.8i | −0.519227 | − | 1.13695i | ||||
\(17\) | −3126.12 | + | 2009.03i | −0.154324 | + | 0.0991781i | −0.615524 | − | 0.788118i | \(-0.711056\pi\) |
0.461200 | + | 0.887296i | \(0.347419\pi\) | |||||||
\(18\) | −30171.3 | + | 1384.58i | −1.21938 | + | 0.0559585i | ||||
\(19\) | 22333.2 | − | 34751.1i | 0.746986 | − | 1.16233i | −0.234744 | − | 0.972057i | \(-0.575425\pi\) |
0.981731 | − | 0.190276i | \(-0.0609383\pi\) | |||||||
\(20\) | 9022.67 | − | 10412.7i | 0.252191 | − | 0.291044i | ||||
\(21\) | −22956.3 | − | 4445.21i | −0.540923 | − | 0.104743i | ||||
\(22\) | − | 56763.1i | − | 1.13655i | ||||||
\(23\) | −34063.9 | + | 47375.9i | −0.583778 | + | 0.811914i | ||||
\(24\) | 41970.8 | − | 3970.85i | 0.619738 | − | 0.0586333i | ||||
\(25\) | 28663.6 | + | 8416.38i | 0.366894 | + | 0.107730i | ||||
\(26\) | −119126. | − | 103224.i | −1.32923 | − | 1.15179i | ||||
\(27\) | 29070.7 | − | 98057.4i | 0.284238 | − | 0.958754i | ||||
\(28\) | −31042.7 | − | 4463.27i | −0.267243 | − | 0.0384238i | ||||
\(29\) | −27563.6 | − | 42889.9i | −0.209867 | − | 0.326559i | 0.720323 | − | 0.693639i | \(-0.243994\pi\) |
−0.930189 | + | 0.367080i | \(0.880357\pi\) | |||||||
\(30\) | 70826.5 | + | 122922.i | 0.478929 | + | 0.831200i | ||||
\(31\) | −202321. | − | 233490.i | −1.21976 | − | 1.40768i | −0.885141 | − | 0.465323i | \(-0.845938\pi\) |
−0.334618 | − | 0.942354i | \(-0.608607\pi\) | |||||||
\(32\) | 165718. | − | 23826.6i | 0.894014 | − | 0.128540i | ||||
\(33\) | 181589. | + | 63025.6i | 0.879611 | + | 0.305294i | ||||
\(34\) | −14458.3 | − | 49240.5i | −0.0630872 | − | 0.214855i | ||||
\(35\) | 30943.1 | + | 105382.i | 0.121990 | + | 0.415461i | ||||
\(36\) | 32572.7 | − | 133253.i | 0.116358 | − | 0.476014i | ||||
\(37\) | 562280. | − | 80843.6i | 1.82493 | − | 0.262385i | 0.857311 | − | 0.514798i | \(-0.172133\pi\) |
0.967620 | + | 0.252413i | \(0.0812240\pi\) | |||||||
\(38\) | 373588. | + | 431143.i | 1.10446 | + | 1.27461i | ||||
\(39\) | 462488. | − | 266481.i | 1.24846 | − | 0.719350i | ||||
\(40\) | −107059. | − | 166586.i | −0.264491 | − | 0.411557i | ||||
\(41\) | 433029. | + | 62260.2i | 0.981237 | + | 0.141081i | 0.614221 | − | 0.789134i | \(-0.289470\pi\) |
0.367016 | + | 0.930215i | \(0.380379\pi\) | |||||||
\(42\) | 148221. | − | 286896.i | 0.308701 | − | 0.597519i | ||||
\(43\) | −424530. | − | 367857.i | −0.814271 | − | 0.705570i | 0.144576 | − | 0.989494i | \(-0.453818\pi\) |
−0.958847 | + | 0.283924i | \(0.908364\pi\) | |||||||
\(44\) | 247364. | + | 72632.7i | 0.437777 | + | 0.128543i | ||||
\(45\) | −471877. | + | 90094.9i | −0.771942 | + | 0.147386i | ||||
\(46\) | −495235. | − | 635707.i | −0.750169 | − | 0.962952i | ||||
\(47\) | − | 717704.i | − | 1.00833i | −0.863607 | − | 0.504165i | \(-0.831800\pi\) | ||
0.863607 | − | 0.504165i | \(-0.168200\pi\) | |||||||
\(48\) | −182061. | + | 940214.i | −0.237614 | + | 1.22711i | ||||
\(49\) | −375590. | + | 433454.i | −0.456066 | + | 0.526328i | ||||
\(50\) | −223049. | + | 347070.i | −0.252351 | + | 0.392665i | ||||
\(51\) | 173577. | + | 8419.97i | 0.183230 | + | 0.00888822i | ||||
\(52\) | 602263. | − | 387051.i | 0.593983 | − | 0.381730i | ||||
\(53\) | −416478. | − | 911959.i | −0.384261 | − | 0.841414i | −0.998627 | − | 0.0523928i | \(-0.983315\pi\) |
0.614366 | − | 0.789022i | \(-0.289412\pi\) | |||||||
\(54\) | 1.18624e6 | + | 766733.i | 1.02516 | + | 0.662623i | ||||
\(55\) | −128490. | − | 893666.i | −0.104136 | − | 0.724279i | ||||
\(56\) | −187246. | + | 410011.i | −0.142480 | + | 0.311987i | ||||
\(57\) | −1.79406e6 | + | 716422.i | −1.28314 | + | 0.512397i | ||||
\(58\) | 675573. | − | 198366.i | 0.454647 | − | 0.133496i | ||||
\(59\) | −2.15015e6 | − | 981942.i | −1.36297 | − | 0.622449i | −0.406334 | − | 0.913725i | \(-0.633193\pi\) |
−0.956639 | + | 0.291276i | \(0.905920\pi\) | |||||||
\(60\) | −626303. | + | 151362.i | −0.374330 | + | 0.0904665i | ||||
\(61\) | −2.19102e6 | + | 1.89853e6i | −1.23593 | + | 1.07094i | −0.240978 | + | 0.970530i | \(0.577468\pi\) |
−0.994947 | + | 0.100405i | \(0.967986\pi\) | |||||||
\(62\) | 3.88114e6 | − | 1.77246e6i | 2.06818 | − | 0.944506i | ||||
\(63\) | 753225. | + | 792719.i | 0.379518 | + | 0.399418i | ||||
\(64\) | 43987.8 | − | 305942.i | 0.0209750 | − | 0.145884i | ||||
\(65\) | −2.10916e6 | − | 1.35547e6i | −0.952604 | − | 0.612201i | ||||
\(66\) | −1.54167e6 | + | 2.16099e6i | −0.660067 | + | 0.925228i | ||||
\(67\) | 3615.46 | − | 12313.1i | 0.00146860 | − | 0.00500158i | −0.958755 | − | 0.284232i | \(-0.908261\pi\) |
0.960224 | + | 0.279231i | \(0.0900795\pi\) | |||||||
\(68\) | 233083. | 0.0898936 | ||||||||
\(69\) | 2.58354e6 | − | 878447.i | 0.946768 | − | 0.321917i | ||||
\(70\) | −1.51680e6 | −0.528549 | ||||||||
\(71\) | 332391. | − | 1.13202e6i | 0.110216 | − | 0.375362i | −0.885850 | − | 0.463971i | \(-0.846424\pi\) |
0.996066 | + | 0.0886095i | \(0.0282423\pi\) | |||||||
\(72\) | −1.70569e6 | − | 988744.i | −0.538563 | − | 0.312191i | ||||
\(73\) | 976836. | + | 627774.i | 0.293895 | + | 0.188875i | 0.679276 | − | 0.733883i | \(-0.262294\pi\) |
−0.385382 | + | 0.922757i | \(0.625930\pi\) | |||||||
\(74\) | −1.11647e6 | + | 7.76524e6i | −0.320285 | + | 2.22763i | ||||
\(75\) | −862644. | − | 1.09891e6i | −0.236112 | − | 0.300779i | ||||
\(76\) | −2.35689e6 | + | 1.07635e6i | −0.615873 | + | 0.281260i | ||||
\(77\) | −1.55315e6 | + | 1.34581e6i | −0.387700 | + | 0.335944i | ||||
\(78\) | 1.73165e6 | + | 7.16519e6i | 0.413171 | + | 1.70961i | ||||
\(79\) | −1.68315e6 | − | 768667.i | −0.384085 | − | 0.175406i | 0.214009 | − | 0.976832i | \(-0.431348\pi\) |
−0.598094 | + | 0.801426i | \(0.704075\pi\) | |||||||
\(80\) | 4.31610e6 | − | 1.26732e6i | 0.942490 | − | 0.276740i | ||||
\(81\) | −3.76994e6 | + | 2.94352e6i | −0.788201 | + | 0.615418i | ||||
\(82\) | −2.50983e6 | + | 5.49577e6i | −0.502686 | + | 1.10073i | ||||
\(83\) | −145167. | − | 1.00966e6i | −0.0278672 | − | 0.193821i | 0.971132 | − | 0.238541i | \(-0.0766693\pi\) |
−0.999000 | + | 0.0447208i | \(0.985760\pi\) | |||||||
\(84\) | 1.06059e6 | + | 1.01303e6i | 0.195240 | + | 0.186485i | ||||
\(85\) | −339090. | − | 742504.i | −0.0598893 | − | 0.131139i | ||||
\(86\) | 6.52619e6 | − | 4.19413e6i | 1.10641 | − | 0.711045i | ||||
\(87\) | −115521. | + | 2.38145e6i | −0.0188080 | + | 0.387726i | ||||
\(88\) | 2.00323e6 | − | 3.11709e6i | 0.313358 | − | 0.487595i | ||||
\(89\) | 4.55138e6 | − | 5.25257e6i | 0.684349 | − | 0.789781i | −0.302200 | − | 0.953244i | \(-0.597721\pi\) |
0.986549 | + | 0.163463i | \(0.0522666\pi\) | |||||||
\(90\) | 642145. | − | 6.60331e6i | 0.0928505 | − | 0.954802i | ||||
\(91\) | 5.70688e6i | 0.793879i | ||||||||
\(92\) | 3.40400e6 | − | 1.34472e6i | 0.455756 | − | 0.180042i | ||||
\(93\) | 1.36087e6 | + | 1.43840e7i | 0.175439 | + | 1.85434i | ||||
\(94\) | 9.51019e6 | + | 2.79244e6i | 1.18098 | + | 0.346766i | ||||
\(95\) | 6.85763e6 | + | 5.94217e6i | 0.820619 | + | 0.711070i | ||||
\(96\) | −6.95606e6 | − | 3.59377e6i | −0.802442 | − | 0.414572i | ||||
\(97\) | −4.81097e6 | − | 691713.i | −0.535219 | − | 0.0769528i | −0.130594 | − | 0.991436i | \(-0.541689\pi\) |
−0.404624 | + | 0.914483i | \(0.632598\pi\) | |||||||
\(98\) | −4.28229e6 | − | 6.66337e6i | −0.459605 | − | 0.715159i | ||||
\(99\) | −5.20139e6 | − | 7.33131e6i | −0.538761 | − | 0.759379i | ||||
\(100\) | −1.22707e6 | − | 1.41611e6i | −0.122707 | − | 0.141611i | ||||
\(101\) | 6.30331e6 | − | 906279.i | 0.608757 | − | 0.0875260i | 0.168959 | − | 0.985623i | \(-0.445959\pi\) |
0.439797 | + | 0.898097i | \(0.355050\pi\) | |||||||
\(102\) | −786926. | + | 2.26729e6i | −0.0734232 | + | 0.211546i | ||||
\(103\) | 2.33374e6 | + | 7.94798e6i | 0.210437 | + | 0.716682i | 0.995285 | + | 0.0969936i | \(0.0309226\pi\) |
−0.784848 | + | 0.619688i | \(0.787259\pi\) | |||||||
\(104\) | −2.89883e6 | − | 9.87250e6i | −0.252700 | − | 0.860618i | ||||
\(105\) | 1.68415e6 | − | 4.85235e6i | 0.141977 | − | 0.409062i | ||||
\(106\) | 1.37047e7 | − | 1.97044e6i | 1.11763 | − | 0.160691i | ||||
\(107\) | 3.63571e6 | + | 4.19583e6i | 0.286910 | + | 0.331112i | 0.880848 | − | 0.473399i | \(-0.156973\pi\) |
−0.593938 | + | 0.804511i | \(0.702428\pi\) | |||||||
\(108\) | −4.85918e6 | + | 4.18833e6i | −0.371176 | + | 0.319932i | ||||
\(109\) | 9.01895e6 | + | 1.40338e7i | 0.667058 | + | 1.03796i | 0.995621 | + | 0.0934800i | \(0.0297991\pi\) |
−0.328564 | + | 0.944482i | \(0.606565\pi\) | |||||||
\(110\) | 1.23418e7 | + | 1.77448e6i | 0.884104 | + | 0.127115i | ||||
\(111\) | −2.36019e7 | − | 1.21936e7i | −1.63801 | − | 0.846257i | ||||
\(112\) | −7.73829e6 | − | 6.70526e6i | −0.520453 | − | 0.450975i | ||||
\(113\) | −1.10455e7 | − | 3.24325e6i | −0.720130 | − | 0.211449i | −0.0989222 | − | 0.995095i | \(-0.531540\pi\) |
−0.621208 | + | 0.783646i | \(0.713358\pi\) | |||||||
\(114\) | −2.51287e6 | − | 2.65603e7i | −0.158856 | − | 1.67906i | ||||
\(115\) | −9.23587e6 | − | 8.88741e6i | −0.566285 | − | 0.544920i | ||||
\(116\) | 3.19786e6i | 0.190220i | ||||||||
\(117\) | −2.48446e7 | − | 2.41604e6i | −1.43411 | − | 0.139461i | ||||
\(118\) | 2.13774e7 | − | 2.46708e7i | 1.19775 | − | 1.38228i | ||||
\(119\) | −1.00452e6 | + | 1.56306e6i | −0.0546442 | + | 0.0850281i | ||||
\(120\) | −448688. | + | 9.24968e6i | −0.0237034 | + | 0.488644i | ||||
\(121\) | −2.18167e6 | + | 1.40208e6i | −0.111954 | + | 0.0719486i | ||||
\(122\) | −1.66323e7 | − | 3.64197e7i | −0.829266 | − | 1.81584i | ||||
\(123\) | −1.47946e7 | − | 1.41312e7i | −0.716861 | − | 0.684718i | ||||
\(124\) | 2.75786e6 | + | 1.91814e7i | 0.129896 | + | 0.903449i | ||||
\(125\) | −9.85497e6 | + | 2.15794e7i | −0.451305 | + | 0.988220i | ||||
\(126\) | −1.34349e7 | + | 6.89656e6i | −0.598324 | + | 0.307140i | ||||
\(127\) | 3.61605e6 | − | 1.06177e6i | 0.156647 | − | 0.0459957i | −0.202469 | − | 0.979289i | \(-0.564897\pi\) |
0.359116 | + | 0.933293i | \(0.383078\pi\) | |||||||
\(128\) | 2.33763e7 | + | 1.06756e7i | 0.985236 | + | 0.449942i | ||||
\(129\) | 6.17109e6 | + | 2.55346e7i | 0.253103 | + | 1.04728i | ||||
\(130\) | 2.61675e7 | − | 2.26743e7i | 1.04463 | − | 0.905173i | ||||
\(131\) | −4.78896e6 | + | 2.18705e6i | −0.186120 | + | 0.0849980i | −0.506295 | − | 0.862360i | \(-0.668985\pi\) |
0.320176 | + | 0.947358i | \(0.396258\pi\) | |||||||
\(132\) | −7.44455e6 | − | 9.48350e6i | −0.281728 | − | 0.358889i | ||||
\(133\) | 2.93943e6 | − | 2.04442e7i | 0.108338 | − | 0.753510i | ||||
\(134\) | 149093. | + | 95816.0i | 0.00535290 | + | 0.00344010i | ||||
\(135\) | 2.04114e7 | + | 9.38611e6i | 0.714012 | + | 0.328335i | ||||
\(136\) | 943786. | − | 3.21424e6i | 0.0321727 | − | 0.109570i | ||||
\(137\) | 3.22478e7 | 1.07147 | 0.535733 | − | 0.844387i | \(-0.320035\pi\) | ||||
0.535733 | + | 0.844387i | \(0.320035\pi\) | |||||||
\(138\) | 1.58812e6 | + | 3.76520e7i | 0.0514407 | + | 1.21958i | ||||
\(139\) | −1.92552e7 | −0.608131 | −0.304066 | − | 0.952651i | \(-0.598344\pi\) | ||||
−0.304066 | + | 0.952651i | \(0.598344\pi\) | |||||||
\(140\) | 1.94086e6 | − | 6.60997e6i | 0.0597787 | − | 0.203588i | ||||
\(141\) | −1.94926e7 | + | 2.73232e7i | −0.585604 | + | 0.820852i | ||||
\(142\) | 1.37070e7 | + | 8.80894e6i | 0.401728 | + | 0.258175i | ||||
\(143\) | 6.67639e6 | − | 4.64353e7i | 0.190926 | − | 1.32792i | ||||
\(144\) | 3.24671e7 | − | 3.08495e7i | 0.906096 | − | 0.860954i | ||||
\(145\) | 1.01870e7 | − | 4.65227e6i | 0.277498 | − | 0.126729i | ||||
\(146\) | −1.21192e7 | + | 1.05014e7i | −0.322285 | + | 0.279261i | ||||
\(147\) | 2.60713e7 | − | 6.30080e6i | 0.676943 | − | 0.163601i | ||||
\(148\) | −3.24110e7 | − | 1.48016e7i | −0.821820 | − | 0.375313i | ||||
\(149\) | 1.18088e7 | − | 3.46737e6i | 0.292451 | − | 0.0858713i | −0.132216 | − | 0.991221i | \(-0.542209\pi\) |
0.424667 | + | 0.905350i | \(0.360391\pi\) | |||||||
\(150\) | 1.79179e7 | − | 7.15514e6i | 0.433478 | − | 0.173101i | ||||
\(151\) | −1.64701e7 | + | 3.60645e7i | −0.389293 | + | 0.852434i | 0.608951 | + | 0.793208i | \(0.291590\pi\) |
−0.998245 | + | 0.0592259i | \(0.981137\pi\) | |||||||
\(152\) | 5.29968e6 | + | 3.68601e7i | 0.122404 | + | 0.851341i | ||||
\(153\) | −6.37945e6 | − | 5.03486e6i | −0.144000 | − | 0.113649i | ||||
\(154\) | −1.17902e7 | − | 2.58169e7i | −0.260134 | − | 0.569614i | ||||
\(155\) | 5.70917e7 | − | 3.66906e7i | 1.23144 | − | 0.791396i | ||||
\(156\) | −3.34405e7 | − | 1.62215e6i | −0.705240 | − | 0.0342102i | ||||
\(157\) | −2.06899e7 | + | 3.21940e7i | −0.426686 | + | 0.663937i | −0.986327 | − | 0.164798i | \(-0.947303\pi\) |
0.559641 | + | 0.828735i | \(0.310939\pi\) | |||||||
\(158\) | 1.67343e7 | − | 1.93124e7i | 0.337526 | − | 0.389526i | ||||
\(159\) | −8.91313e6 | + | 4.60300e7i | −0.175849 | + | 0.908136i | ||||
\(160\) | 3.67762e7i | 0.709818i | ||||||||
\(161\) | −5.65252e6 | + | 2.86227e7i | −0.106746 | + | 0.540531i | ||||
\(162\) | −2.43361e7 | − | 6.14076e7i | −0.449727 | − | 1.13480i | ||||
\(163\) | −1.13497e7 | − | 3.33257e6i | −0.205271 | − | 0.0602730i | 0.177481 | − | 0.984124i | \(-0.443205\pi\) |
−0.382752 | + | 0.923851i | \(0.625023\pi\) | |||||||
\(164\) | −2.07381e7 | − | 1.79697e7i | −0.367127 | − | 0.318117i | ||||
\(165\) | −1.93801e7 | + | 3.75119e7i | −0.335863 | + | 0.650093i | ||||
\(166\) | 1.39436e7 | + | 2.00479e6i | 0.236590 | + | 0.0340166i | ||||
\(167\) | 1.06678e7 | + | 1.65994e7i | 0.177242 | + | 0.275794i | 0.918496 | − | 0.395431i | \(-0.129405\pi\) |
−0.741254 | + | 0.671225i | \(0.765768\pi\) | |||||||
\(168\) | 1.82643e7 | − | 1.05237e7i | 0.297180 | − | 0.171232i | ||||
\(169\) | −4.42192e7 | − | 5.10317e7i | −0.704706 | − | 0.813274i | ||||
\(170\) | 1.11582e7 | − | 1.60430e6i | 0.174189 | − | 0.0250446i | ||||
\(171\) | 8.77583e7 | + | 2.14518e7i | 1.34215 | + | 0.328078i | ||||
\(172\) | 9.92657e6 | + | 3.38068e7i | 0.148747 | + | 0.506587i | ||||
\(173\) | −2.55408e7 | − | 8.69839e7i | −0.375036 | − | 1.27725i | −0.903606 | − | 0.428365i | \(-0.859090\pi\) |
0.528570 | − | 0.848890i | \(-0.322728\pi\) | |||||||
\(174\) | −3.11068e7 | − | 1.07965e7i | −0.447645 | − | 0.155368i | ||||
\(175\) | 1.47848e7 | − | 2.12574e6i | 0.208537 | − | 0.0299831i | ||||
\(176\) | 5.51199e7 | + | 6.36117e7i | 0.762103 | + | 0.879514i | ||||
\(177\) | 5.51877e7 | + | 9.57804e7i | 0.748059 | + | 1.29829i | ||||
\(178\) | 5.18925e7 | + | 8.07464e7i | 0.689660 | + | 1.07313i | ||||
\(179\) | −7.87905e7 | − | 1.13284e7i | −1.02681 | − | 0.147632i | −0.391728 | − | 0.920081i | \(-0.628123\pi\) |
−0.635077 | + | 0.772449i | \(0.719032\pi\) | |||||||
\(180\) | 2.79545e7 | + | 1.12478e7i | 0.357271 | + | 0.143752i | ||||
\(181\) | −7.43682e7 | − | 6.44404e7i | −0.932207 | − | 0.807762i | 0.0493797 | − | 0.998780i | \(-0.484276\pi\) |
−0.981586 | + | 0.191018i | \(0.938821\pi\) | |||||||
\(182\) | −7.56211e7 | − | 2.22044e7i | −0.929808 | − | 0.273016i | ||||
\(183\) | 1.34976e8 | − | 1.27701e7i | 1.62809 | − | 0.154034i | ||||
\(184\) | −4.76054e6 | − | 5.23865e7i | −0.0563370 | − | 0.619951i | ||||
\(185\) | 1.24782e8i | 1.44894i | ||||||||
\(186\) | −1.95896e8 | − | 3.79327e7i | −2.23218 | − | 0.432234i | ||||
\(187\) | 1.00021e7 | − | 1.15430e7i | 0.111852 | − | 0.129085i | ||||
\(188\) | −2.43380e7 | + | 3.78707e7i | −0.267136 | + | 0.415672i | ||||
\(189\) | −7.14548e6 | − | 5.06364e7i | −0.0769866 | − | 0.545565i | ||||
\(190\) | −1.05421e8 | + | 6.77497e7i | −1.11503 | + | 0.716588i | ||||
\(191\) | 5.83742e7 | + | 1.27822e8i | 0.606184 | + | 1.32736i | 0.925154 | + | 0.379592i | \(0.123936\pi\) |
−0.318970 | + | 0.947765i | \(0.603337\pi\) | |||||||
\(192\) | −9.98392e6 | + | 1.04526e7i | −0.101800 | + | 0.106579i | ||||
\(193\) | 1.10288e7 | + | 7.67069e7i | 0.110428 | + | 0.768040i | 0.967505 | + | 0.252853i | \(0.0813687\pi\) |
−0.857077 | + | 0.515188i | \(0.827722\pi\) | |||||||
\(194\) | 2.78843e7 | − | 6.10581e7i | 0.274191 | − | 0.600396i | ||||
\(195\) | 4.34820e7 | + | 1.08887e8i | 0.419941 | + | 1.05161i | ||||
\(196\) | 3.45174e7 | − | 1.01352e7i | 0.327448 | − | 0.0961473i | ||||
\(197\) | −1.74339e8 | − | 7.96181e7i | −1.62466 | − | 0.741959i | −0.625400 | − | 0.780305i | \(-0.715064\pi\) |
−0.999265 | + | 0.0383454i | \(0.987791\pi\) | |||||||
\(198\) | 1.17384e8 | − | 4.03982e7i | 1.07468 | − | 0.369857i | ||||
\(199\) | 1.17043e7 | − | 1.01419e7i | 0.105284 | − | 0.0912287i | −0.600628 | − | 0.799528i | \(-0.705083\pi\) |
0.705912 | + | 0.708300i | \(0.250537\pi\) | |||||||
\(200\) | −2.44970e7 | + | 1.11874e7i | −0.216525 | + | 0.0988834i | ||||
\(201\) | −472063. | + | 370570.i | −0.00410029 | + | 0.00321873i | ||||
\(202\) | −1.25160e7 | + | 8.70504e7i | −0.106840 | + | 0.743089i | ||||
\(203\) | −2.14450e7 | − | 1.37819e7i | −0.179924 | − | 0.115630i | ||||
\(204\) | −8.87353e6 | − | 6.33046e6i | −0.0731797 | − | 0.0522071i | ||||
\(205\) | −2.70740e7 | + | 9.22055e7i | −0.219489 | + | 0.747513i | ||||
\(206\) | −1.14398e8 | −0.911763 | ||||||||
\(207\) | −1.22215e8 | − | 3.67256e7i | −0.957694 | − | 0.287788i | ||||
\(208\) | 2.33735e8 | 1.80095 | ||||||||
\(209\) | −4.78346e7 | + | 1.62910e8i | −0.362435 | + | 1.23434i | ||||
\(210\) | 5.77451e7 | + | 4.11959e7i | 0.430276 | + | 0.306963i | ||||
\(211\) | −1.45334e8 | − | 9.34003e7i | −1.06507 | − | 0.684478i | −0.114007 | − | 0.993480i | \(-0.536369\pi\) |
−0.951061 | + | 0.309002i | \(0.900005\pi\) | |||||||
\(212\) | −8.94935e6 | + | 6.22441e7i | −0.0645084 | + | 0.448665i | ||||
\(213\) | −4.33996e7 | + | 3.40687e7i | −0.307721 | + | 0.241561i | ||||
\(214\) | −6.97442e7 | + | 3.18511e7i | −0.486474 | + | 0.222165i | ||||
\(215\) | 9.32531e7 | − | 8.08043e7i | 0.639924 | − | 0.554498i | ||||
\(216\) | 3.80821e7 | + | 8.39679e7i | 0.257118 | + | 0.566924i | ||||
\(217\) | −1.40517e8 | − | 6.41719e7i | −0.933510 | − | 0.426320i | ||||
\(218\) | −2.21050e8 | + | 6.49063e7i | −1.44509 | + | 0.424315i | ||||
\(219\) | −2.01383e7 | − | 5.04302e7i | −0.129559 | − | 0.324441i | ||||
\(220\) | −2.35251e7 | + | 5.15129e7i | −0.148954 | + | 0.326164i | ||||
\(221\) | −6.03609e6 | − | 4.19820e7i | −0.0376169 | − | 0.261631i | ||||
\(222\) | 2.53406e8 | − | 2.65302e8i | 1.55447 | − | 1.62744i | ||||
\(223\) | −1.22934e8 | − | 2.69187e8i | −0.742342 | − | 1.62550i | −0.779663 | − | 0.626199i | \(-0.784610\pi\) |
0.0373213 | − | 0.999303i | \(-0.488118\pi\) | |||||||
\(224\) | 7.04224e7 | − | 4.52577e7i | 0.418642 | − | 0.269045i | ||||
\(225\) | 2.99506e6 | + | 6.52650e7i | 0.0175294 | + | 0.381981i | ||||
\(226\) | 8.59518e7 | − | 1.33744e8i | 0.495308 | − | 0.770714i | ||||
\(227\) | 9.70095e7 | − | 1.11955e8i | 0.550457 | − | 0.635261i | −0.410532 | − | 0.911846i | \(-0.634657\pi\) |
0.960990 | + | 0.276585i | \(0.0892026\pi\) | |||||||
\(228\) | 1.18961e8 | + | 2.30353e7i | 0.664710 | + | 0.128713i | ||||
\(229\) | − | 2.87127e8i | − | 1.57997i | −0.613123 | − | 0.789987i | \(-0.710087\pi\) | ||
0.613123 | − | 0.789987i | \(-0.289913\pi\) | |||||||
\(230\) | 1.53701e8 | − | 8.78040e7i | 0.832969 | − | 0.475847i | ||||
\(231\) | 9.56808e7 | − | 9.05235e6i | 0.510720 | − | 0.0483192i | ||||
\(232\) | 4.40989e7 | + | 1.29486e7i | 0.231857 | + | 0.0680793i | ||||
\(233\) | 1.03367e7 | + | 8.95682e6i | 0.0535349 | + | 0.0463882i | 0.681217 | − | 0.732081i | \(-0.261451\pi\) |
−0.627682 | + | 0.778470i | \(0.715996\pi\) | |||||||
\(234\) | 1.28680e8 | − | 3.19812e8i | 0.656532 | − | 1.63170i | ||||
\(235\) | 1.56047e8 | + | 2.24362e7i | 0.784367 | + | 0.112775i | ||||
\(236\) | 8.01575e7 | + | 1.24727e8i | 0.396965 | + | 0.617689i | ||||
\(237\) | 4.32011e7 | + | 7.49772e7i | 0.210802 | + | 0.365856i | ||||
\(238\) | −1.68036e7 | − | 1.93923e7i | −0.0807945 | − | 0.0932418i | ||||
\(239\) | −3.12163e8 | + | 4.48823e7i | −1.47907 | + | 0.212658i | −0.834128 | − | 0.551571i | \(-0.814028\pi\) |
−0.644944 | + | 0.764230i | \(0.723119\pi\) | |||||||
\(240\) | −1.98736e8 | − | 6.89769e7i | −0.927975 | − | 0.322080i | ||||
\(241\) | 3.01166e7 | + | 1.02568e8i | 0.138595 | + | 0.472011i | 0.999313 | − | 0.0370718i | \(-0.0118030\pi\) |
−0.860718 | + | 0.509082i | \(0.829985\pi\) | |||||||
\(242\) | −1.00902e7 | − | 3.43642e7i | −0.0457665 | − | 0.155867i | ||||
\(243\) | 2.23468e8 | − | 9.67027e6i | 0.999065 | − | 0.0432331i | ||||
\(244\) | 1.79994e8 | − | 2.58792e7i | 0.793218 | − | 0.114048i | ||||
\(245\) | −8.25027e7 | − | 9.52132e7i | −0.358416 | − | 0.413634i | ||||
\(246\) | 2.44814e8 | − | 1.41059e8i | 1.04849 | − | 0.604128i | ||||
\(247\) | 2.54905e8 | + | 3.96639e8i | 1.07631 | + | 1.67477i | ||||
\(248\) | 2.75680e8 | + | 3.96368e7i | 1.14769 | + | 0.165013i | ||||
\(249\) | −2.18954e7 | + | 4.23806e7i | −0.0898785 | + | 0.173968i | ||||
\(250\) | −2.47602e8 | − | 2.14548e8i | −1.00222 | − | 0.868429i | ||||
\(251\) | 4.19950e7 | + | 1.23309e7i | 0.167625 | + | 0.0492193i | 0.364468 | − | 0.931216i | \(-0.381251\pi\) |
−0.196843 | + | 0.980435i | \(0.563069\pi\) | |||||||
\(252\) | −1.28632e7 | − | 6.73716e7i | −0.0506345 | − | 0.265201i | ||||
\(253\) | 7.94782e7 | − | 2.26282e8i | 0.308551 | − | 0.878474i | ||||
\(254\) | 5.20469e7i | 0.199286i | ||||||||
\(255\) | −7.25694e6 | + | 3.74770e7i | −0.0274071 | + | 0.141538i | ||||
\(256\) | −2.06505e8 | + | 2.38319e8i | −0.769290 | + | 0.887808i | ||||
\(257\) | −4.52210e6 | + | 7.03652e6i | −0.0166178 | + | 0.0258578i | −0.849463 | − | 0.527648i | \(-0.823074\pi\) |
0.832845 | + | 0.553506i | \(0.186710\pi\) | |||||||
\(258\) | −3.62366e8 | − | 1.75778e7i | −1.31364 | − | 0.0637230i | ||||
\(259\) | 2.38943e8 | − | 1.53559e8i | 0.854565 | − | 0.549195i | ||||
\(260\) | 6.53275e7 | + | 1.43047e8i | 0.230510 | + | 0.504746i | ||||
\(261\) | 6.90775e7 | − | 8.75251e7i | 0.240489 | − | 0.304713i | ||||
\(262\) | −1.03473e7 | − | 7.19673e7i | −0.0355446 | − | 0.247218i | ||||
\(263\) | −7.31657e7 | + | 1.60210e8i | −0.248006 | + | 0.543057i | −0.992163 | − | 0.124947i | \(-0.960124\pi\) |
0.744157 | + | 0.668004i | \(0.232851\pi\) | |||||||
\(264\) | −1.60923e8 | + | 6.42612e7i | −0.538274 | + | 0.214949i | ||||
\(265\) | 2.11303e8 | − | 6.20442e7i | 0.697502 | − | 0.204805i | ||||
\(266\) | 2.59466e8 | + | 1.18494e8i | 0.845270 | + | 0.386022i | ||||
\(267\) | −3.15931e8 | + | 7.63528e7i | −1.01579 | + | 0.245491i | ||||
\(268\) | −608326. | + | 527118.i | −0.00193048 | + | 0.00167277i | ||||
\(269\) | −4.31310e8 | + | 1.96973e8i | −1.35100 | + | 0.616982i | −0.953715 | − | 0.300712i | \(-0.902776\pi\) |
−0.397288 | + | 0.917694i | \(0.630048\pi\) | |||||||
\(270\) | −2.03791e8 | + | 2.33950e8i | −0.630103 | + | 0.723352i | ||||
\(271\) | 8.74383e6 | − | 6.08147e7i | 0.0266876 | − | 0.185616i | −0.972117 | − | 0.234496i | \(-0.924656\pi\) |
0.998805 | + | 0.0488798i | \(0.0155651\pi\) | |||||||
\(272\) | 6.40178e7 | + | 4.11417e7i | 0.192890 | + | 0.123963i | ||||
\(273\) | 1.54997e8 | − | 2.17263e8i | 0.461058 | − | 0.646273i | ||||
\(274\) | −1.25470e8 | + | 4.27312e8i | −0.368479 | + | 1.25492i | ||||
\(275\) | −1.22787e8 | −0.356031 | ||||||||
\(276\) | −1.66113e8 | − | 4.12579e7i | −0.475579 | − | 0.118120i | ||||
\(277\) | 5.16159e8 | 1.45916 | 0.729582 | − | 0.683893i | \(-0.239715\pi\) | ||||
0.729582 | + | 0.683893i | \(0.239715\pi\) | |||||||
\(278\) | 7.49184e7 | − | 2.55149e8i | 0.209137 | − | 0.712256i | ||||
\(279\) | 3.38857e8 | − | 5.84565e8i | 0.934119 | − | 1.61146i | ||||
\(280\) | −8.32935e7 | − | 5.35295e7i | −0.226756 | − | 0.145727i | ||||
\(281\) | 1.83442e7 | − | 1.27587e8i | 0.0493204 | − | 0.343031i | −0.950188 | − | 0.311678i | \(-0.899109\pi\) |
0.999508 | − | 0.0313535i | \(-0.00998177\pi\) | |||||||
\(282\) | −2.86214e8 | − | 3.64603e8i | −0.760009 | − | 0.968164i | ||||
\(283\) | −4.05421e8 | + | 1.85150e8i | −1.06330 | + | 0.485591i | −0.868724 | − | 0.495297i | \(-0.835059\pi\) |
−0.194572 | + | 0.980888i | \(0.562332\pi\) | |||||||
\(284\) | −5.59270e7 | + | 4.84611e7i | −0.144880 | + | 0.125539i | ||||
\(285\) | −9.96844e7 | − | 4.12472e8i | −0.255076 | − | 1.05545i | ||||
\(286\) | 5.89331e8 | + | 2.69139e8i | 1.48963 | + | 0.680291i | ||||
\(287\) | 2.09881e8 | − | 6.16267e7i | 0.524067 | − | 0.153880i | ||||
\(288\) | 1.67214e8 | + | 3.25740e8i | 0.412475 | + | 0.803522i | ||||
\(289\) | −1.64724e8 | + | 3.60696e8i | −0.401435 | + | 0.879021i | ||||
\(290\) | 2.20108e7 | + | 1.53088e8i | 0.0529959 | + | 0.368594i | ||||
\(291\) | 1.64368e8 | + | 1.56998e8i | 0.391014 | + | 0.373482i | ||||
\(292\) | −3.02558e7 | − | 6.62509e7i | −0.0711162 | − | 0.155723i | ||||
\(293\) | −4.44211e8 | + | 2.85477e8i | −1.03170 | + | 0.663032i | −0.942920 | − | 0.333020i | \(-0.891932\pi\) |
−0.0887775 | + | 0.996051i | \(0.528296\pi\) | |||||||
\(294\) | −1.79473e7 | + | 3.69982e8i | −0.0411892 | + | 0.849113i | ||||
\(295\) | 2.80716e8 | − | 4.36803e8i | 0.636634 | − | 0.990622i | ||||
\(296\) | −3.35353e8 | + | 3.87018e8i | −0.751591 | + | 0.867382i | ||||
\(297\) | −1.09800e6 | + | 4.20374e8i | −0.00243196 | + | 0.931082i | ||||
\(298\) | 1.69967e8i | 0.372056i | ||||||||
\(299\) | −3.30358e8 | − | 5.78291e8i | −0.714720 | − | 1.25112i | ||||
\(300\) | 8.25365e6 | + | 8.72387e7i | 0.0176491 | + | 0.186546i | ||||
\(301\) | −2.69491e8 | − | 7.91296e7i | −0.569588 | − | 0.167246i | ||||
\(302\) | −4.13804e8 | − | 3.58563e8i | −0.864510 | − | 0.749102i | ||||
\(303\) | −2.64583e8 | − | 1.36694e8i | −0.546403 | − | 0.282293i | ||||
\(304\) | −8.37324e8 | − | 1.20389e8i | −1.70937 | − | 0.245770i | ||||
\(305\) | −3.44296e8 | − | 5.35735e8i | −0.694837 | − | 1.08119i | ||||
\(306\) | 9.15374e7 | − | 6.49436e7i | 0.182631 | − | 0.129572i | ||||
\(307\) | 1.09857e8 | + | 1.26781e8i | 0.216692 | + | 0.250076i | 0.853680 | − | 0.520798i | \(-0.174365\pi\) |
−0.636988 | + | 0.770874i | \(0.719820\pi\) | |||||||
\(308\) | 1.27592e8 | − | 1.83450e7i | 0.248826 | − | 0.0357758i | ||||
\(309\) | 1.27019e8 | − | 3.65966e8i | 0.244914 | − | 0.705644i | ||||
\(310\) | 2.64049e8 | + | 8.99269e8i | 0.503407 | + | 1.71445i | ||||
\(311\) | 2.48288e8 | + | 8.45591e8i | 0.468052 | + | 1.59404i | 0.768242 | + | 0.640159i | \(0.221132\pi\) |
−0.300190 | + | 0.953879i | \(0.597050\pi\) | |||||||
\(312\) | −1.57775e8 | + | 4.54581e8i | −0.294102 | + | 0.847364i | ||||
\(313\) | 1.26536e8 | − | 1.81932e7i | 0.233243 | − | 0.0335353i | −0.0247019 | − | 0.999695i | \(-0.507864\pi\) |
0.257945 | + | 0.966160i | \(0.416955\pi\) | |||||||
\(314\) | −3.46099e8 | − | 3.99419e8i | −0.630879 | − | 0.728073i | ||||
\(315\) | −1.95904e8 | + | 1.38989e8i | −0.353148 | + | 0.250550i | ||||
\(316\) | 6.27475e7 | + | 9.76370e7i | 0.111864 | + | 0.174064i | ||||
\(317\) | 7.44230e8 | + | 1.07004e8i | 1.31220 | + | 0.188666i | 0.762659 | − | 0.646801i | \(-0.223894\pi\) |
0.549541 | + | 0.835467i | \(0.314803\pi\) | |||||||
\(318\) | −5.75258e8 | − | 2.97200e8i | −1.00315 | − | 0.518268i | ||||
\(319\) | 1.58369e8 | + | 1.37227e8i | 0.273151 | + | 0.236686i | ||||
\(320\) | 6.51446e7 | + | 1.91282e7i | 0.111136 | + | 0.0326324i | ||||
\(321\) | −2.44549e7 | − | 2.58481e8i | −0.0412666 | − | 0.436176i | ||||
\(322\) | −3.57283e8 | − | 1.86266e8i | −0.596372 | − | 0.310913i | ||||
\(323\) | 1.53504e8i | 0.253461i | ||||||||
\(324\) | 2.98745e8 | − | 2.74771e7i | 0.487969 | − | 0.0448811i | ||||
\(325\) | −2.23288e8 | + | 2.57688e8i | −0.360805 | + | 0.416392i | ||||
\(326\) | 8.83189e7 | − | 1.37427e8i | 0.141186 | − | 0.219690i | ||||
\(327\) | 3.77989e7 | − | 7.79222e8i | 0.0597809 | − | 1.23238i | ||||
\(328\) | −3.31776e8 | + | 2.13220e8i | −0.519143 | + | 0.333633i | ||||
\(329\) | −1.49073e8 | − | 3.26424e8i | −0.230788 | − | 0.505355i | ||||
\(330\) | −4.21661e8 | − | 4.02754e8i | −0.645899 | − | 0.616938i | ||||
\(331\) | 9.44162e6 | + | 6.56679e7i | 0.0143103 | + | 0.0995302i | 0.995725 | − | 0.0923697i | \(-0.0294442\pi\) |
−0.981414 | + | 0.191900i | \(0.938535\pi\) | |||||||
\(332\) | −2.65785e7 | + | 5.81987e7i | −0.0398609 | + | 0.0872831i | ||||
\(333\) | 5.67355e8 | + | 1.10524e9i | 0.841976 | + | 1.64021i | ||||
\(334\) | −2.61462e8 | + | 7.67723e7i | −0.383969 | + | 0.112744i | ||||
\(335\) | 2.56417e6 | + | 1.17102e6i | 0.00372641 | + | 0.00170179i | ||||
\(336\) | 1.12486e8 | + | 4.65441e8i | 0.161775 | + | 0.669387i | ||||
\(337\) | 6.49598e8 | − | 5.62880e8i | 0.924571 | − | 0.801145i | −0.0557727 | − | 0.998443i | \(-0.517762\pi\) |
0.980344 | + | 0.197298i | \(0.0632168\pi\) | |||||||
\(338\) | 8.48263e8 | − | 3.87389e8i | 1.19487 | − | 0.545680i | ||||
\(339\) | 3.32420e8 | + | 4.23464e8i | 0.463434 | + | 0.590362i | ||||
\(340\) | −7.28643e6 | + | 5.06782e7i | −0.0100540 | + | 0.0699271i | ||||
\(341\) | 1.06827e9 | + | 6.86537e8i | 1.45895 | + | 0.937612i | ||||
\(342\) | −6.25705e8 | + | 1.07941e9i | −0.845821 | + | 1.45913i | ||||
\(343\) | −1.96803e8 | + | 6.70249e8i | −0.263331 | + | 0.896823i | ||||
\(344\) | 5.06394e8 | 0.670709 | ||||||||
\(345\) | 1.10233e8 | + | 5.89190e8i | 0.144525 | + | 0.772483i | ||||
\(346\) | 1.25199e9 | 1.62492 | ||||||||
\(347\) | 1.05843e8 | − | 3.60469e8i | 0.135991 | − | 0.463142i | −0.863134 | − | 0.504975i | \(-0.831502\pi\) |
0.999125 | + | 0.0418331i | \(0.0133198\pi\) | |||||||
\(348\) | 8.68530e7 | − | 1.21744e8i | 0.110473 | − | 0.154853i | ||||
\(349\) | −9.16826e8 | − | 5.89208e8i | −1.15451 | − | 0.741959i | −0.183978 | − | 0.982930i | \(-0.558898\pi\) |
−0.970532 | + | 0.240972i | \(0.922534\pi\) | |||||||
\(350\) | −2.93570e7 | + | 2.04183e8i | −0.0365994 | + | 0.254555i | ||||
\(351\) | 8.80224e8 | + | 7.66753e8i | 1.08647 | + | 0.946412i | ||||
\(352\) | −6.25954e8 | + | 2.85863e8i | −0.764967 | + | 0.349349i | ||||
\(353\) | 6.31840e8 | − | 5.47493e8i | 0.764532 | − | 0.662471i | −0.182646 | − | 0.983179i | \(-0.558466\pi\) |
0.947178 | + | 0.320708i | \(0.103921\pi\) | |||||||
\(354\) | −1.48390e9 | + | 3.58622e8i | −1.77784 | + | 0.429660i | ||||
\(355\) | 2.35740e8 | + | 1.07659e8i | 0.279662 | + | 0.127717i | ||||
\(356\) | −4.18280e8 | + | 1.22818e8i | −0.491351 | + | 0.144274i | ||||
\(357\) | 8.06948e7 | − | 3.22238e7i | 0.0938657 | − | 0.0374834i | ||||
\(358\) | 4.56669e8 | − | 9.99965e8i | 0.526030 | − | 1.15185i | ||||
\(359\) | −4.06768e7 | − | 2.82913e8i | −0.0463998 | − | 0.322717i | −0.999781 | − | 0.0209476i | \(-0.993332\pi\) |
0.953381 | − | 0.301770i | \(-0.0975774\pi\) | |||||||
\(360\) | 2.68301e8 | − | 3.39952e8i | 0.303084 | − | 0.384024i | ||||
\(361\) | −3.37540e8 | − | 7.39108e8i | −0.377615 | − | 0.826862i | ||||
\(362\) | 1.14324e9 | − | 7.34718e8i | 1.26666 | − | 0.814030i | ||||
\(363\) | 1.21137e8 | + | 5.87617e6i | 0.132924 | + | 0.00644795i | ||||
\(364\) | 1.93526e8 | − | 3.01132e8i | 0.210322 | − | 0.327267i | ||||
\(365\) | −1.67031e8 | + | 1.92765e8i | −0.179793 | + | 0.207492i | ||||
\(366\) | −3.55952e8 | + | 1.83824e9i | −0.379496 | + | 1.95983i | ||||
\(367\) | − | 1.39329e9i | − | 1.47133i | −0.677348 | − | 0.735663i | \(-0.736871\pi\) | ||
0.677348 | − | 0.735663i | \(-0.263129\pi\) | |||||||
\(368\) | 1.17229e9 | + | 2.31508e8i | 1.22622 | + | 0.242158i | ||||
\(369\) | 1.79434e8 | + | 9.39798e8i | 0.185915 | + | 0.973738i | ||||
\(370\) | −1.65346e9 | − | 4.85501e8i | −1.69703 | − | 0.498292i | ||||
\(371\) | −3.78843e8 | − | 3.28269e8i | −0.385168 | − | 0.333750i | ||||
\(372\) | 4.15968e8 | − | 8.05143e8i | 0.418947 | − | 0.810910i | ||||
\(373\) | −1.63143e9 | − | 2.34564e8i | −1.62774 | − | 0.234034i | −0.732876 | − | 0.680363i | \(-0.761822\pi\) |
−0.894869 | + | 0.446328i | \(0.852731\pi\) | |||||||
\(374\) | 1.14039e8 | + | 1.77448e8i | 0.112720 | + | 0.175396i | ||||
\(375\) | 9.61272e8 | − | 5.53875e8i | 0.941319 | − | 0.542378i | ||||
\(376\) | 4.23694e8 | + | 4.88969e8i | 0.411050 | + | 0.474377i | ||||
\(377\) | 5.75986e8 | − | 8.28143e7i | 0.553627 | − | 0.0795996i | ||||
\(378\) | 6.98778e8 | + | 1.02333e8i | 0.665454 | + | 0.0974526i | ||||
\(379\) | 5.73883e8 | + | 1.95446e9i | 0.541484 | + | 1.84413i | 0.536122 | + | 0.844140i | \(0.319889\pi\) |
0.00536202 | + | 0.999986i | \(0.498293\pi\) | |||||||
\(380\) | −1.60348e8 | − | 5.46097e8i | −0.149907 | − | 0.510537i | ||||
\(381\) | −1.66502e8 | − | 5.77891e7i | −0.154234 | − | 0.0535314i | ||||
\(382\) | −1.92087e9 | + | 2.76179e8i | −1.76310 | + | 0.253495i | ||||
\(383\) | 9.62319e8 | + | 1.11058e9i | 0.875232 | + | 1.01007i | 0.999840 | + | 0.0178660i | \(0.00568724\pi\) |
−0.124608 | + | 0.992206i | \(0.539767\pi\) | |||||||
\(384\) | −5.99996e8 | − | 1.04132e9i | −0.540741 | − | 0.938476i | ||||
\(385\) | −2.44061e8 | − | 3.79767e8i | −0.217965 | − | 0.339160i | ||||
\(386\) | −1.05934e9 | − | 1.52311e8i | −0.937522 | − | 0.134795i | ||||
\(387\) | 4.58577e8 | − | 1.13971e9i | 0.402183 | − | 0.999557i | ||||
\(388\) | 2.30401e8 | + | 1.99644e8i | 0.200251 | + | 0.173518i | ||||
\(389\) | −1.57130e9 | − | 4.61377e8i | −1.35343 | − | 0.397404i | −0.476989 | − | 0.878909i | \(-0.658272\pi\) |
−0.876443 | + | 0.481505i | \(0.840090\pi\) | |||||||
\(390\) | −1.61203e9 | + | 1.52514e8i | −1.37609 | + | 0.130192i | ||||
\(391\) | 1.13082e7 | − | 2.16538e8i | 0.00956696 | − | 0.183196i | ||||
\(392\) | − | 5.17038e8i | − | 0.433532i | ||||||
\(393\) | 2.41717e8 | + | 4.68054e7i | 0.200878 | + | 0.0388976i | ||||
\(394\) | 1.73333e9 | − | 2.00037e9i | 1.42772 | − | 1.64768i | ||||
\(395\) | 2.19745e8 | − | 3.41930e8i | 0.179403 | − | 0.279157i | ||||
\(396\) | 2.58471e7 | + | 5.63232e8i | 0.0209160 | + | 0.455779i | ||||
\(397\) | 4.06725e8 | − | 2.61386e8i | 0.326238 | − | 0.209660i | −0.367261 | − | 0.930118i | \(-0.619705\pi\) |
0.693499 | + | 0.720458i | \(0.256068\pi\) | |||||||
\(398\) | 8.88491e7 | + | 1.94552e8i | 0.0706418 | + | 0.154684i | ||||
\(399\) | −6.67164e8 | + | 6.98482e8i | −0.525808 | + | 0.550491i | ||||
\(400\) | −8.70631e7 | − | 6.05537e8i | −0.0680180 | − | 0.473076i | ||||
\(401\) | 6.38599e8 | − | 1.39834e9i | 0.494565 | − | 1.08295i | −0.483633 | − | 0.875271i | \(-0.660683\pi\) |
0.978198 | − | 0.207675i | \(-0.0665895\pi\) | |||||||
\(402\) | −3.07367e6 | − | 7.69706e6i | −0.00235975 | − | 0.00590927i | ||||
\(403\) | 3.38345e9 | − | 9.93472e8i | 2.57509 | − | 0.756115i | ||||
\(404\) | −3.63336e8 | − | 1.65930e8i | −0.274141 | − | 0.125196i | ||||
\(405\) | −5.22146e8 | − | 9.11701e8i | −0.390570 | − | 0.681962i | ||||
\(406\) | 2.66060e8 | − | 2.30542e8i | 0.197305 | − | 0.170966i | ||||
\(407\) | −2.12386e9 | + | 9.69933e8i | −1.56151 | + | 0.713118i | ||||
\(408\) | −1.23228e8 | + | 9.67341e7i | −0.0898254 | + | 0.0705130i | ||||
\(409\) | 7.64008e7 | − | 5.31379e8i | 0.0552162 | − | 0.384037i | −0.943410 | − | 0.331630i | \(-0.892402\pi\) |
0.998626 | − | 0.0524072i | \(-0.0166894\pi\) | |||||||
\(410\) | −1.11646e9 | − | 7.17507e8i | −0.800020 | − | 0.514142i | ||||
\(411\) | −1.22769e9 | − | 8.75843e8i | −0.872249 | − | 0.622271i | ||||
\(412\) | 1.46381e8 | − | 4.98526e8i | 0.103120 | − | 0.351195i | ||||
\(413\) | −1.18188e9 | −0.825562 | ||||||||
\(414\) | 9.62158e8 | − | 1.47656e9i | 0.666416 | − | 1.02270i | ||||
\(415\) | 2.24063e8 | 0.153887 | ||||||||
\(416\) | −5.38365e8 | + | 1.83350e9i | −0.366649 | + | 1.24869i | ||||
\(417\) | 7.33053e8 | + | 5.22967e8i | 0.495062 | + | 0.353182i | ||||
\(418\) | −1.97258e9 | − | 1.26770e9i | −1.32104 | − | 0.848984i | ||||
\(419\) | 5.13457e7 | − | 3.57117e8i | 0.0341001 | − | 0.237171i | −0.965642 | − | 0.259875i | \(-0.916319\pi\) |
0.999742 | + | 0.0227042i | \(0.00722760\pi\) | |||||||
\(420\) | −2.53414e8 | + | 1.98930e8i | −0.166901 | + | 0.131017i | ||||
\(421\) | −4.55219e8 | + | 2.07891e8i | −0.297326 | + | 0.135784i | −0.558493 | − | 0.829510i | \(-0.688620\pi\) |
0.261167 | + | 0.965294i | \(0.415893\pi\) | |||||||
\(422\) | 1.80310e9 | − | 1.56239e9i | 1.16795 | − | 1.01204i | ||||
\(423\) | 1.48418e9 | − | 5.10788e8i | 0.953445 | − | 0.328133i | ||||
\(424\) | 8.22117e8 | + | 3.75448e8i | 0.523785 | + | 0.239204i | ||||
\(425\) | −1.06514e8 | + | 3.12755e7i | −0.0673050 | + | 0.0197625i | ||||
\(426\) | −2.82580e8 | − | 7.07637e8i | −0.177096 | − | 0.443483i | ||||
\(427\) | −6.02175e8 | + | 1.31858e9i | −0.374304 | + | 0.819612i | ||||
\(428\) | −4.95589e7 | − | 3.44690e8i | −0.0305540 | − | 0.212508i | ||||
\(429\) | −1.51534e9 | + | 1.58648e9i | −0.926638 | + | 0.970138i | ||||
\(430\) | 7.07897e8 | + | 1.55008e9i | 0.429369 | + | 0.940186i | ||||
\(431\) | −1.62404e9 | + | 1.04371e9i | −0.977070 | + | 0.627925i | −0.928671 | − | 0.370904i | \(-0.879048\pi\) |
−0.0483983 | + | 0.998828i | \(0.515412\pi\) | |||||||
\(432\) | −2.07390e9 | + | 2.92654e8i | −1.23764 | + | 0.174647i | ||||
\(433\) | −1.17493e9 | + | 1.82822e9i | −0.695509 | + | 1.08223i | 0.296373 | + | 0.955072i | \(0.404223\pi\) |
−0.991882 | + | 0.127161i | \(0.959413\pi\) | |||||||
\(434\) | 1.39706e9 | − | 1.61229e9i | 0.820351 | − | 0.946736i | ||||
\(435\) | −5.14178e8 | − | 9.95641e7i | −0.299503 | − | 0.0579950i | ||||
\(436\) | − | 1.04635e9i | − | 0.604611i | ||||||
\(437\) | 8.85607e8 | + | 2.24181e9i | 0.507640 | + | 1.28503i | ||||
\(438\) | 7.46597e8 | − | 7.06355e7i | 0.424548 | − | 0.0401665i | ||||
\(439\) | 1.45104e8 | + | 4.26065e7i | 0.0818569 | + | 0.0240353i | 0.322405 | − | 0.946602i | \(-0.395509\pi\) |
−0.240548 | + | 0.970637i | \(0.577327\pi\) | |||||||
\(440\) | 6.15112e8 | + | 5.32998e8i | 0.344247 | + | 0.298292i | ||||
\(441\) | −1.16367e9 | − | 4.68216e8i | −0.646093 | − | 0.259963i | ||||
\(442\) | 5.79782e8 | + | 8.33601e7i | 0.319365 | + | 0.0459177i | ||||
\(443\) | 8.88810e8 | + | 1.38302e9i | 0.485731 | + | 0.755812i | 0.994460 | − | 0.105114i | \(-0.0335209\pi\) |
−0.508729 | + | 0.860927i | \(0.669884\pi\) | |||||||
\(444\) | 8.31890e8 | + | 1.44378e9i | 0.451051 | + | 0.782816i | ||||
\(445\) | 9.99764e8 | + | 1.15379e9i | 0.537821 | + | 0.620678i | ||||
\(446\) | 4.04528e9 | − | 5.81623e8i | 2.15912 | − | 0.310434i | ||||
\(447\) | −5.43736e8 | − | 1.88719e8i | −0.287947 | − | 0.0999401i | ||||
\(448\) | −4.35402e7 | − | 1.48284e8i | −0.0228780 | − | 0.0779152i | ||||
\(449\) | −3.37974e8 | − | 1.15103e9i | −0.176206 | − | 0.600104i | −0.999473 | − | 0.0324494i | \(-0.989669\pi\) |
0.823267 | − | 0.567654i | \(-0.192149\pi\) | |||||||
\(450\) | −8.76471e8 | − | 2.14246e8i | −0.453413 | − | 0.110833i | ||||
\(451\) | −1.77984e9 | + | 2.55902e8i | −0.913615 | + | 0.131358i | ||||
\(452\) | 4.72851e8 | + | 5.45699e8i | 0.240846 | + | 0.277951i | ||||
\(453\) | 1.60652e9 | − | 9.25663e8i | 0.811977 | − | 0.467853i | ||||
\(454\) | 1.10605e9 | + | 1.72105e9i | 0.554729 | + | 0.863175i | ||||
\(455\) | −1.24083e9 | − | 1.78404e8i | −0.617548 | − | 0.0887900i | ||||
\(456\) | 7.99349e8 | − | 1.54721e9i | 0.394784 | − | 0.764140i | ||||
\(457\) | 2.16275e8 | + | 1.87404e8i | 0.105999 | + | 0.0918484i | 0.706248 | − | 0.707965i | \(-0.250386\pi\) |
−0.600249 | + | 0.799813i | \(0.704932\pi\) | |||||||
\(458\) | 3.80468e9 | + | 1.11716e9i | 1.85050 | + | 0.543356i | ||||
\(459\) | 1.06122e8 | + | 3.64943e8i | 0.0512227 | + | 0.176149i | ||||
\(460\) | 1.85964e8 | + | 7.82155e8i | 0.0890791 | + | 0.374663i | ||||
\(461\) | 4.38820e8i | 0.208609i | 0.994545 | + | 0.104304i | \(0.0332616\pi\) | ||||
−0.994545 | + | 0.104304i | \(0.966738\pi\) | |||||||
\(462\) | −2.52324e8 | + | 1.30307e9i | −0.119045 | + | 0.614783i | ||||
\(463\) | −4.09995e8 | + | 4.73160e8i | −0.191975 | + | 0.221551i | −0.843575 | − | 0.537012i | \(-0.819553\pi\) |
0.651599 | + | 0.758563i | \(0.274098\pi\) | |||||||
\(464\) | −5.64459e8 | + | 8.78315e8i | −0.262313 | + | 0.408166i | ||||
\(465\) | −3.17000e9 | − | 1.53772e8i | −1.46209 | − | 0.0709239i | ||||
\(466\) | −1.58904e8 | + | 1.02121e8i | −0.0727417 | + | 0.0467482i | ||||
\(467\) | −5.91486e8 | − | 1.29517e9i | −0.268742 | − | 0.588463i | 0.726360 | − | 0.687314i | \(-0.241210\pi\) |
−0.995102 | + | 0.0988515i | \(0.968483\pi\) | |||||||
\(468\) | 1.22903e9 | + | 9.69992e8i | 0.554247 | + | 0.437429i | ||||
\(469\) | −913164. | − | 6.35119e6i | −0.000408737 | − | 0.00284283i | ||||
\(470\) | −9.04450e8 | + | 1.98047e9i | −0.401830 | + | 0.879884i | ||||
\(471\) | 1.66205e9 | − | 6.63706e8i | 0.732944 | − | 0.292687i | ||||
\(472\) | 2.04458e9 | − | 6.00342e8i | 0.894965 | − | 0.262786i | ||||
\(473\) | 2.10020e9 | + | 9.59128e8i | 0.912528 | + | 0.416738i | ||||
\(474\) | −1.16160e9 | + | 2.80730e8i | −0.500994 | + | 0.121078i | ||||
\(475\) | 9.32626e8 | − | 8.08125e8i | 0.399282 | − | 0.345980i | ||||
\(476\) | 1.06010e8 | − | 4.84132e7i | 0.0450529 | − | 0.0205750i | ||||
\(477\) | 1.58949e9 | − | 1.51030e9i | 0.670568 | − | 0.637160i | ||||
\(478\) | 6.19837e8 | − | 4.31106e9i | 0.259585 | − | 1.80545i | ||||
\(479\) | −3.39681e9 | − | 2.18300e9i | −1.41220 | − | 0.907567i | −0.412207 | − | 0.911090i | \(-0.635242\pi\) |
−0.999994 | + | 0.00352345i | \(0.998878\pi\) | |||||||
\(480\) | 9.98833e8 | − | 1.40008e9i | 0.412238 | − | 0.577842i | ||||
\(481\) | −1.82667e9 | + | 6.22107e9i | −0.748432 | + | 2.54893i | ||||
\(482\) | −1.47629e9 | −0.600492 | ||||||||
\(483\) | 9.92579e8 | − | 9.36156e8i | 0.400821 | − | 0.378036i | ||||
\(484\) | 1.62665e8 | 0.0652132 | ||||||||
\(485\) | 3.00793e8 | − | 1.02441e9i | 0.119721 | − | 0.407733i | ||||
\(486\) | −7.41331e8 | + | 2.99877e9i | −0.292945 | + | 1.18499i | ||||
\(487\) | −2.65251e8 | − | 1.70467e8i | −0.104065 | − | 0.0668788i | 0.487573 | − | 0.873082i | \(-0.337882\pi\) |
−0.591638 | + | 0.806203i | \(0.701519\pi\) | |||||||
\(488\) | 3.71943e8 | − | 2.58692e9i | 0.144880 | − | 1.00766i | ||||
\(489\) | 3.41575e8 | + | 4.35127e8i | 0.132101 | + | 0.168281i | ||||
\(490\) | 1.58266e9 | − | 7.22776e8i | 0.607717 | − | 0.277535i | ||||
\(491\) | −3.50208e8 | + | 3.03457e8i | −0.133518 | + | 0.115694i | −0.719060 | − | 0.694948i | \(-0.755427\pi\) |
0.585542 | + | 0.810642i | \(0.300882\pi\) | |||||||
\(492\) | 3.01455e8 | + | 1.24735e9i | 0.114116 | + | 0.472185i | ||||
\(493\) | 1.72334e8 | + | 7.87025e7i | 0.0647750 | + | 0.0295818i | ||||
\(494\) | −6.24760e9 | + | 1.83446e9i | −2.33168 | + | 0.684643i | ||||
\(495\) | 1.75662e9 | − | 9.01732e8i | 0.650968 | − | 0.334164i | ||||
\(496\) | −2.62826e9 | + | 5.75509e9i | −0.967125 | + | 2.11771i | ||||
\(497\) | −8.39526e7 | − | 5.83903e8i | −0.0306752 | − | 0.213350i | ||||
\(498\) | −4.76388e8 | − | 4.55028e8i | −0.172846 | − | 0.165096i | ||||
\(499\) | −3.72608e8 | − | 8.15898e8i | −0.134246 | − | 0.293957i | 0.830556 | − | 0.556935i | \(-0.188023\pi\) |
−0.964802 | + | 0.262978i | \(0.915295\pi\) | |||||||
\(500\) | 1.25179e9 | − | 8.04477e8i | 0.447854 | − | 0.287818i | ||||
\(501\) | 4.47092e7 | − | 9.21678e8i | 0.0158842 | − | 0.327452i | ||||
\(502\) | −3.26789e8 | + | 5.08493e8i | −0.115293 | + | 0.179400i | ||||
\(503\) | −3.34266e8 | + | 3.85764e8i | −0.117113 | + | 0.135156i | −0.811279 | − | 0.584660i | \(-0.801228\pi\) |
0.694166 | + | 0.719815i | \(0.255773\pi\) | |||||||
\(504\) | −9.81148e8 | − | 9.54126e7i | −0.341372 | − | 0.0331970i | ||||
\(505\) | 1.39883e9i | 0.483333i | ||||||||
\(506\) | 2.68920e9 | + | 1.93358e9i | 0.922777 | + | 0.663490i | ||||
\(507\) | 2.97432e8 | + | 3.14378e9i | 0.101359 | + | 1.07133i | ||||
\(508\) | −2.26812e8 | − | 6.65980e7i | −0.0767615 | − | 0.0225392i | ||||
\(509\) | −3.23808e9 | − | 2.80582e9i | −1.08837 | − | 0.943077i | −0.0897678 | − | 0.995963i | \(-0.528612\pi\) |
−0.998601 | + | 0.0528862i | \(0.983158\pi\) | |||||||
\(510\) | −4.68367e8 | − | 2.41976e8i | −0.156347 | − | 0.0807750i | ||||
\(511\) | 5.74676e8 | + | 8.26259e7i | 0.190524 | + | 0.0273932i | ||||
\(512\) | −5.76070e8 | − | 8.96383e8i | −0.189684 | − | 0.295154i | ||||
\(513\) | −2.75836e9 | − | 3.20017e9i | −0.902070 | − | 1.04655i | ||||
\(514\) | −7.56454e7 | − | 8.72994e7i | −0.0245703 | − | 0.0283557i | ||||
\(515\) | −1.80105e9 | + | 2.58952e8i | −0.581033 | + | 0.0835400i | ||||
\(516\) | 5.40276e8 | − | 1.55664e9i | 0.173118 | − | 0.498785i | ||||
\(517\) | 8.31086e8 | + | 2.83042e9i | 0.264502 | + | 0.900811i | ||||
\(518\) | 1.10511e9 | + | 3.76367e9i | 0.349343 | + | 1.18975i | ||||
\(519\) | −1.39011e9 | + | 4.00519e9i | −0.436480 | + | 1.25758i | ||||
\(520\) | 2.23716e9 | − | 3.21655e8i | 0.697727 | − | 0.100318i | ||||
\(521\) | −2.34479e9 | − | 2.70603e9i | −0.726393 | − | 0.838302i | 0.265667 | − | 0.964065i | \(-0.414408\pi\) |
−0.992060 | + | 0.125762i | \(0.959862\pi\) | |||||||
\(522\) | 8.91016e8 | + | 1.25588e9i | 0.274182 | + | 0.386457i | ||||
\(523\) | 2.16403e9 | + | 3.36730e9i | 0.661467 | + | 1.02926i | 0.996212 | + | 0.0869540i | \(0.0277133\pi\) |
−0.334745 | + | 0.942309i | \(0.608650\pi\) | |||||||
\(524\) | 3.26862e8 | + | 4.69957e7i | 0.0992441 | + | 0.0142692i | ||||
\(525\) | −6.20598e8 | − | 3.20625e8i | −0.187177 | − | 0.0967029i | ||||
\(526\) | −1.83825e9 | − | 1.59286e9i | −0.550751 | − | 0.477228i | ||||
\(527\) | 1.10157e9 | + | 3.23449e8i | 0.327849 | + | 0.0962652i | ||||
\(528\) | −3.70753e8 | − | 3.91876e9i | −0.109614 | − | 1.15859i | ||||
\(529\) | −1.08412e9 | − | 3.22762e9i | −0.318407 | − | 0.947954i | ||||
\(530\) | 3.04135e9i | 0.887363i | ||||||||
\(531\) | 5.00357e8 | − | 5.14527e9i | 0.145027 | − | 1.49134i | ||||
\(532\) | −8.48386e8 | + | 9.79089e8i | −0.244288 | + | 0.281924i | ||||
\(533\) | −2.69958e9 | + | 4.20063e9i | −0.772239 | + | 1.20163i | ||||
\(534\) | 2.17485e8 | − | 4.48343e9i | 0.0618065 | − | 1.27414i | ||||
\(535\) | −1.02594e9 | + | 6.59331e8i | −0.289657 | + | 0.186151i | ||||
\(536\) | 4.80582e6 | + | 1.05233e7i | 0.00134800 | + | 0.00295171i | ||||
\(537\) | 2.69190e9 | + | 2.57120e9i | 0.750152 | + | 0.716517i | ||||
\(538\) | −9.31914e8 | − | 6.48161e9i | −0.258011 | − | 1.79451i | ||||
\(539\) | 9.79289e8 | − | 2.14434e9i | 0.269370 | − | 0.589839i | ||||
\(540\) | −7.58749e8 | − | 1.18744e9i | −0.207358 | − | 0.324515i | ||||
\(541\) | −2.08415e9 | + | 6.11960e8i | −0.565897 | + | 0.166162i | −0.552153 | − | 0.833743i | \(-0.686193\pi\) |
−0.0137447 | + | 0.999906i | \(0.504375\pi\) | |||||||
\(542\) | 7.71827e8 | + | 3.52481e8i | 0.208220 | + | 0.0950908i | ||||
\(543\) | 1.08104e9 | + | 4.47309e9i | 0.289762 | + | 1.19897i | ||||
\(544\) | −4.70185e8 | + | 4.07418e8i | −0.125220 | + | 0.108503i | ||||
\(545\) | −3.33325e9 | + | 1.52224e9i | −0.882023 | + | 0.402806i | ||||
\(546\) | 2.27586e9 | + | 2.89918e9i | 0.598371 | + | 0.762255i | ||||
\(547\) | 5.39582e8 | − | 3.75288e9i | 0.140962 | − | 0.980412i | −0.789428 | − | 0.613843i | \(-0.789623\pi\) |
0.930391 | − | 0.366570i | \(-0.119468\pi\) | |||||||
\(548\) | −1.70161e9 | − | 1.09356e9i | −0.441700 | − | 0.283863i | ||||
\(549\) | −5.48543e9 | − | 3.17976e9i | −1.41484 | − | 0.820147i | ||||
\(550\) | 4.77740e8 | − | 1.62703e9i | 0.122440 | − | 0.416991i | ||||
\(551\) | −2.10605e9 | −0.536338 | ||||||||
\(552\) | −1.24157e9 | + | 2.12367e9i | −0.314184 | + | 0.537402i | ||||
\(553\) | −9.25183e8 | −0.232643 | ||||||||
\(554\) | −2.00827e9 | + | 6.83955e9i | −0.501809 | + | 1.70901i | ||||
\(555\) | 3.38903e9 | − | 4.75047e9i | 0.841493 | − | 1.17954i | ||||
\(556\) | 1.01603e9 | + | 6.52964e8i | 0.250695 | + | 0.161112i | ||||
\(557\) | 5.36627e7 | − | 3.73232e8i | 0.0131577 | − | 0.0915137i | −0.982184 | − | 0.187920i | \(-0.939826\pi\) |
0.995342 | + | 0.0964059i | \(0.0307347\pi\) | |||||||
\(558\) | 6.42756e9 | + | 6.76458e9i | 1.56613 | + | 1.64824i | ||||
\(559\) | 5.83208e9 | − | 2.66342e9i | 1.41216 | − | 0.644910i | ||||
\(560\) | 1.69981e9 | − | 1.47289e9i | 0.409017 | − | 0.354415i | ||||
\(561\) | −6.94289e8 | + | 1.67793e8i | −0.166024 | + | 0.0401239i | ||||
\(562\) | 1.61926e9 | + | 7.39491e8i | 0.384804 | + | 0.175734i | ||||
\(563\) | 2.19516e9 | − | 6.44557e8i | 0.518426 | − | 0.152224i | −0.0120437 | − | 0.999927i | \(-0.503834\pi\) |
0.530470 | + | 0.847704i | \(0.322016\pi\) | |||||||
\(564\) | 1.95512e9 | − | 7.80736e8i | 0.458876 | − | 0.183243i | ||||
\(565\) | 1.05046e9 | − | 2.30019e9i | 0.245025 | − | 0.536531i | ||||
\(566\) | −8.75978e8 | − | 6.09256e9i | −0.203065 | − | 1.41235i | ||||
\(567\) | −1.10324e9 | + | 2.12181e9i | −0.254173 | + | 0.488840i | ||||
\(568\) | 4.41827e8 | + | 9.67467e8i | 0.101166 | + | 0.221522i | ||||
\(569\) | 1.57812e9 | − | 1.01420e9i | 0.359127 | − | 0.230797i | −0.348618 | − | 0.937265i | \(-0.613349\pi\) |
0.707745 | + | 0.706468i | \(0.249713\pi\) | |||||||
\(570\) | 5.85346e9 | + | 2.83943e8i | 1.32389 | + | 0.0642197i | ||||
\(571\) | −7.10421e8 | + | 1.10544e9i | −0.159694 | + | 0.248489i | −0.911875 | − | 0.410467i | \(-0.865366\pi\) |
0.752181 | + | 0.658957i | \(0.229002\pi\) | |||||||
\(572\) | −1.92696e9 | + | 2.22383e9i | −0.430512 | + | 0.496838i | ||||
\(573\) | 1.24928e9 | − | 6.45164e9i | 0.277407 | − | 1.43261i | ||||
\(574\) | 3.02089e9i | 0.666719i | ||||||||
\(575\) | −1.37513e9 | + | 1.07127e9i | −0.301652 | + | 0.234996i | ||||
\(576\) | 6.63981e8 | − | 1.26773e8i | 0.144769 | − | 0.0276407i | ||||
\(577\) | −3.31392e9 | − | 9.73056e8i | −0.718170 | − | 0.210874i | −0.0978258 | − | 0.995204i | \(-0.531189\pi\) |
−0.620344 | + | 0.784330i | \(0.713007\pi\) | |||||||
\(578\) | −4.13863e9 | − | 3.58614e9i | −0.891474 | − | 0.772467i | ||||
\(579\) | 1.66347e9 | − | 3.21980e9i | 0.356156 | − | 0.689372i | ||||
\(580\) | −6.95298e8 | − | 9.99688e7i | −0.147970 | − | 0.0212748i | ||||
\(581\) | −2.75738e8 | − | 4.29057e8i | −0.0583284 | − | 0.0907608i | ||||
\(582\) | −2.71989e9 | + | 1.56717e9i | −0.571900 | + | 0.329523i | ||||
\(583\) | 2.69850e9 | + | 3.11424e9i | 0.564004 | + | 0.650896i | ||||
\(584\) | −1.03612e9 | + | 1.48971e8i | −0.215261 | + | 0.0309498i | ||||
\(585\) | 1.30198e9 | − | 5.32634e9i | 0.268880 | − | 1.09998i | ||||
\(586\) | −2.05448e9 | − | 6.99691e9i | −0.421755 | − | 1.43636i | ||||
\(587\) | 5.71693e8 | + | 1.94701e9i | 0.116662 | + | 0.397314i | 0.997033 | − | 0.0769708i | \(-0.0245248\pi\) |
−0.880371 | + | 0.474285i | \(0.842707\pi\) | |||||||
\(588\) | −1.58936e9 | − | 5.51632e8i | −0.322405 | − | 0.111900i | ||||
\(589\) | −1.26325e10 | + | 1.81628e9i | −2.54733 | + | 0.366251i | ||||
\(590\) | 4.69580e9 | + | 5.41924e9i | 0.941299 | + | 1.08632i | ||||
\(591\) | 4.47475e9 | + | 7.76610e9i | 0.891687 | + | 1.54756i | ||||
\(592\) | −6.28926e9 | − | 9.78629e9i | −1.24587 | − | 1.93862i | ||||
\(593\) | 8.95134e9 | + | 1.28701e9i | 1.76277 | + | 0.253449i | 0.946152 | − | 0.323723i | \(-0.104935\pi\) |
0.816623 | + | 0.577172i | \(0.195844\pi\) | |||||||
\(594\) | −5.56604e9 | − | 1.65014e9i | −1.08967 | − | 0.323049i | ||||
\(595\) | −3.08448e8 | − | 2.67272e8i | −0.0600307 | − | 0.0520169i | ||||
\(596\) | −7.40690e8 | − | 2.17486e8i | −0.143309 | − | 0.0420794i | ||||
\(597\) | −7.21037e8 | + | 6.82173e7i | −0.138691 | + | 0.0131215i | ||||
\(598\) | 8.94822e9 | − | 2.12751e9i | 1.71113 | − | 0.406835i | ||||
\(599\) | 7.75195e9i | 1.47373i | 0.676042 | + | 0.736863i | \(0.263694\pi\) | ||||
−0.676042 | + | 0.736863i | \(0.736306\pi\) | |||||||
\(600\) | 1.23645e9 | + | 2.39423e8i | 0.233694 | + | 0.0452520i | ||||
\(601\) | 2.78999e9 | − | 3.21982e9i | 0.524254 | − | 0.605022i | −0.430436 | − | 0.902621i | \(-0.641640\pi\) |
0.954691 | + | 0.297599i | \(0.0961858\pi\) | |||||||
\(602\) | 2.09707e9 | − | 3.26311e9i | 0.391765 | − | 0.609598i | ||||
\(603\) | 2.80362e7 | − | 1.28660e6i | 0.00520725 | − | 0.000238965i | ||||
\(604\) | 2.09205e9 | − | 1.34448e9i | 0.386317 | − | 0.248271i | ||||
\(605\) | −2.36646e8 | − | 5.18183e8i | −0.0434466 | − | 0.0951347i | ||||
\(606\) | 2.84075e9 | − | 2.97411e9i | 0.518536 | − | 0.542878i | ||||
\(607\) | 1.06625e9 | + | 7.41592e9i | 0.193507 | + | 1.34587i | 0.822634 | + | 0.568571i | \(0.192504\pi\) |
−0.629127 | + | 0.777303i | \(0.716587\pi\) | |||||||
\(608\) | 2.87300e9 | − | 6.29100e9i | 0.518410 | − | 1.13516i | ||||
\(609\) | 4.42106e8 | + | 1.10712e9i | 0.0793170 | + | 0.198625i | ||||
\(610\) | 8.43854e9 | − | 2.47778e9i | 1.50527 | − | 0.441986i | ||||
\(611\) | 7.45141e9 | + | 3.40294e9i | 1.32158 | + | 0.603546i | ||||
\(612\) | 1.65884e8 | + | 4.82005e8i | 0.0292533 | + | 0.0850006i | ||||
\(613\) | 9.16929e8 | − | 7.94523e8i | 0.160777 | − | 0.139314i | −0.570757 | − | 0.821119i | \(-0.693350\pi\) |
0.731534 | + | 0.681805i | \(0.238805\pi\) | |||||||
\(614\) | −2.10739e9 | + | 9.62415e8i | −0.367415 | + | 0.167793i | ||||
\(615\) | 3.53499e9 | − | 2.77497e9i | 0.612810 | − | 0.481056i | ||||
\(616\) | 2.63660e8 | − | 1.83379e9i | 0.0454476 | − | 0.316095i | ||||
\(617\) | −8.89190e8 | − | 5.71447e8i | −0.152404 | − | 0.0979441i | 0.462216 | − | 0.886767i | \(-0.347054\pi\) |
−0.614620 | + | 0.788823i | \(0.710691\pi\) | |||||||
\(618\) | 4.35515e9 | + | 3.10701e9i | 0.742239 | + | 0.529521i | ||||
\(619\) | 6.48690e8 | − | 2.20923e9i | 0.109931 | − | 0.374390i | −0.886090 | − | 0.463514i | \(-0.846588\pi\) |
0.996021 | + | 0.0891237i | \(0.0284066\pi\) | |||||||
\(620\) | −4.25674e9 | −0.717309 | ||||||||
\(621\) | 3.65529e9 | + | 4.71747e9i | 0.612493 | + | 0.790476i | ||||
\(622\) | −1.21708e10 | −2.02794 | ||||||||
\(623\) | 9.79044e8 | − | 3.33432e9i | 0.162216 | − | 0.552458i | ||||
\(624\) | −8.89835e9 | − | 6.34817e9i | −1.46610 | − | 1.04593i | ||||
\(625\) | −2.42046e9 | − | 1.55553e9i | −0.396567 | − | 0.254858i | ||||
\(626\) | −2.51252e8 | + | 1.74750e9i | −0.0409355 | + | 0.284713i | ||||
\(627\) | 6.24566e9 | − | 4.90285e9i | 1.01191 | − | 0.794350i | ||||
\(628\) | 2.18346e9 | − | 9.97154e8i | 0.351793 | − | 0.160658i | ||||
\(629\) | −1.59534e9 | + | 1.38237e9i | −0.255608 | + | 0.221486i | ||||
\(630\) | −1.07950e9 | − | 3.13668e9i | −0.172001 | − | 0.499780i | ||||
\(631\) | −3.15801e9 | − | 1.44222e9i | −0.500393 | − | 0.228522i | 0.149196 | − | 0.988808i | \(-0.452332\pi\) |
−0.649589 | + | 0.760286i | \(0.725059\pi\) | |||||||
\(632\) | 1.60050e9 | − | 4.69949e8i | 0.252201 | − | 0.0740528i | ||||
\(633\) | 2.99617e9 | + | 7.50300e9i | 0.469520 | + | 1.17577i | ||||
\(634\) | −4.31355e9 | + | 9.44536e9i | −0.672237 | + | 1.47199i | ||||
\(635\) | 1.17814e8 | + | 8.19416e8i | 0.0182595 | + | 0.126998i | ||||
\(636\) | 2.03124e9 | − | 2.12659e9i | 0.313084 | − | 0.327781i | ||||
\(637\) | −2.71941e9 | − | 5.95467e9i | −0.416856 | − | 0.912788i | ||||
\(638\) | −2.43456e9 | + | 1.56460e9i | −0.371149 | + | 0.238523i | ||||
\(639\) | 2.57753e9 | − | 1.18285e8i | 0.390797 | − | 0.0179340i | ||||
\(640\) | −3.05192e9 | + | 4.74888e9i | −0.460196 | + | 0.716079i | ||||
\(641\) | −1.10897e9 | + | 1.27982e9i | −0.166309 | + | 0.191931i | −0.832787 | − | 0.553594i | \(-0.813256\pi\) |
0.666477 | + | 0.745525i | \(0.267801\pi\) | |||||||
\(642\) | 3.52025e9 | + | 6.81652e8i | 0.525050 | + | 0.101669i | ||||
\(643\) | − | 8.42727e9i | − | 1.25011i | −0.780580 | − | 0.625056i | \(-0.785076\pi\) | ||
0.780580 | − | 0.625056i | \(-0.214924\pi\) | |||||||
\(644\) | 1.26889e9 | − | 1.31864e9i | 0.187207 | − | 0.194547i | ||||
\(645\) | −5.74480e9 | + | 5.43515e8i | −0.842977 | + | 0.0797540i | ||||
\(646\) | −2.03406e9 | − | 5.97254e8i | −0.296859 | − | 0.0871656i | ||||
\(647\) | 2.30082e8 | + | 1.99367e8i | 0.0333978 | + | 0.0289393i | 0.671400 | − | 0.741095i | \(-0.265693\pi\) |
−0.638002 | + | 0.770035i | \(0.720239\pi\) | |||||||
\(648\) | 8.30748e8 | − | 4.23098e9i | 0.119938 | − | 0.610842i | ||||
\(649\) | 9.61666e9 | + | 1.38267e9i | 1.38092 | + | 0.198546i | ||||
\(650\) | −2.54582e9 | − | 3.96137e9i | −0.363605 | − | 0.565781i | ||||
\(651\) | 3.60663e9 | + | 6.25944e9i | 0.512351 | + | 0.889206i | ||||
\(652\) | 4.85873e8 | + | 5.60728e8i | 0.0686525 | + | 0.0792292i | ||||
\(653\) | −9.15377e9 | + | 1.31611e9i | −1.28648 | + | 0.184968i | −0.751409 | − | 0.659837i | \(-0.770625\pi\) |
−0.535074 | + | 0.844805i | \(0.679716\pi\) | |||||||
\(654\) | 1.01783e10 | + | 3.53267e9i | 1.42283 | + | 0.493834i | ||||
\(655\) | −3.25812e8 | − | 1.10962e9i | −0.0453026 | − | 0.154286i | ||||
\(656\) | −2.52402e9 | − | 8.59603e9i | −0.349084 | − | 1.18887i | ||||
\(657\) | −6.03000e8 | + | 2.46684e9i | −0.0829542 | + | 0.339361i | ||||
\(658\) | 4.90542e9 | − | 7.05292e8i | 0.671251 | − | 0.0965114i | ||||
\(659\) | −4.39625e9 | − | 5.07354e9i | −0.598388 | − | 0.690577i | 0.373066 | − | 0.927805i | \(-0.378307\pi\) |
−0.971454 | + | 0.237228i | \(0.923761\pi\) | |||||||
\(660\) | 2.29469e9 | − | 1.32217e9i | 0.310684 | − | 0.179013i | ||||
\(661\) | 3.43048e8 | + | 5.33793e8i | 0.0462008 | + | 0.0718899i | 0.863586 | − | 0.504202i | \(-0.168213\pi\) |
−0.817385 | + | 0.576092i | \(0.804577\pi\) | |||||||
\(662\) | −9.06891e8 | − | 1.30391e8i | −0.121493 | − | 0.0174681i | ||||
\(663\) | −9.10423e8 | + | 1.76221e9i | −0.121324 | + | 0.234833i | ||||
\(664\) | 6.94948e8 | + | 6.02176e8i | 0.0921221 | + | 0.0798243i | ||||
\(665\) | 4.35321e9 | + | 1.27822e9i | 0.574029 | + | 0.168550i | ||||
\(666\) | −1.68528e10 | + | 3.21768e9i | −2.21061 | + | 0.422069i | ||||
\(667\) | 2.97087e9 | + | 1.55147e8i | 0.387653 | + | 0.0202443i | ||||
\(668\) | − | 1.23765e9i | − | 0.160649i | ||||||
\(669\) | −2.63093e9 | + | 1.35869e10i | −0.339717 | + | 1.75440i | ||||
\(670\) | −2.54937e7 | + | 2.94213e7i | −0.00327470 | + | 0.00377920i | ||||
\(671\) | 6.44231e9 | − | 1.00244e10i | 0.823214 | − | 1.28095i | ||||
\(672\) | −3.91019e9 | − | 1.89678e8i | −0.497056 | − | 0.0241115i | ||||
\(673\) | −9.97288e9 | + | 6.40918e9i | −1.26115 | + | 0.810494i | −0.988442 | − | 0.151601i | \(-0.951557\pi\) |
−0.272712 | + | 0.962096i | \(0.587921\pi\) | |||||||
\(674\) | 4.93119e9 | + | 1.07978e10i | 0.620357 | + | 1.35839i | ||||
\(675\) | 1.65856e9 | − | 2.56600e9i | 0.207571 | − | 0.321140i | ||||
\(676\) | 6.02760e8 | + | 4.19228e9i | 0.0750465 | + | 0.521960i | ||||
\(677\) | −3.15403e9 | + | 6.90636e9i | −0.390666 | + | 0.855439i | 0.607466 | + | 0.794345i | \(0.292186\pi\) |
−0.998132 | + | 0.0610933i | \(0.980541\pi\) | |||||||
\(678\) | −6.90465e9 | + | 2.75723e9i | −0.850820 | + | 0.339758i | ||||
\(679\) | −2.33179e9 | + | 6.84674e8i | −0.285854 | + | 0.0839344i | ||||
\(680\) | 6.69355e8 | + | 3.05684e8i | 0.0816348 | + | 0.0372814i | ||||
\(681\) | −6.73385e9 | + | 1.62741e9i | −0.817049 | + | 0.197461i | ||||
\(682\) | −1.32536e10 | + | 1.14843e10i | −1.59989 | + | 1.38631i | ||||
\(683\) | −6.90092e9 | + | 3.15155e9i | −0.828771 | + | 0.378487i | −0.784192 | − | 0.620519i | \(-0.786922\pi\) |
−0.0445797 | + | 0.999006i | \(0.514195\pi\) | |||||||
\(684\) | −3.90325e9 | − | 4.10791e9i | −0.466369 | − | 0.490822i | ||||
\(685\) | −1.00810e9 | + | 7.01152e9i | −0.119836 | + | 0.833480i | ||||
\(686\) | −8.11565e9 | − | 5.21561e9i | −0.959818 | − | 0.616838i | ||||
\(687\) | −7.79830e9 | + | 1.09310e10i | −0.917595 | + | 1.28621i | ||||
\(688\) | −3.24088e9 | + | 1.10374e10i | −0.379405 | + | 1.29214i | ||||
\(689\) | 1.14429e10 | 1.33282 | ||||||||
\(690\) | −8.23617e9 | − | 8.31746e8i | −0.954451 | − | 0.0963871i | ||||
\(691\) | 5.73889e9 | 0.661690 | 0.330845 | − | 0.943685i | \(-0.392666\pi\) | ||||
0.330845 | + | 0.943685i | \(0.392666\pi\) | |||||||
\(692\) | −1.60201e9 | + | 5.45595e9i | −0.183778 | + | 0.625892i | ||||
\(693\) | −3.88846e9 | − | 2.25404e9i | −0.443824 | − | 0.257273i | ||||
\(694\) | 4.36471e9 | + | 2.80503e9i | 0.495675 | + | 0.318551i | ||||
\(695\) | 6.01941e8 | − | 4.18659e9i | 0.0680154 | − | 0.473057i | ||||
\(696\) | −1.32718e9 | − | 1.69067e9i | −0.149210 | − | 0.190076i | ||||
\(697\) | −1.47878e9 | + | 6.75338e8i | −0.165421 | + | 0.0755451i | ||||
\(698\) | 1.13747e10 | − | 9.85624e9i | 1.26604 | − | 1.09703i | ||||
\(699\) | −1.50257e8 | − | 6.21731e8i | −0.0166405 | − | 0.0688545i | ||||
\(700\) | −8.52231e8 | − | 3.89201e8i | −0.0939105 | − | 0.0428875i | ||||
\(701\) | −1.51773e10 | + | 4.45645e9i | −1.66410 | + | 0.488625i | −0.972354 | − | 0.233512i | \(-0.924978\pi\) |
−0.691750 | + | 0.722137i | \(0.743160\pi\) | |||||||
\(702\) | −1.35849e10 | + | 8.68044e9i | −1.48210 | + | 0.947026i | ||||
\(703\) | 9.74808e9 | − | 2.13453e10i | 1.05822 | − | 2.31718i | ||||
\(704\) | 1.80799e8 | + | 1.25748e9i | 0.0195295 | + | 0.135831i | ||||
\(705\) | −5.33141e9 | − | 5.09236e9i | −0.573034 | − | 0.547340i | ||||
\(706\) | 4.79638e9 | + | 1.05026e10i | 0.512976 | + | 1.12326i | ||||
\(707\) | 2.67861e9 | − | 1.72144e9i | 0.285064 | − | 0.183199i | ||||
\(708\) | 3.35944e8 | − | 6.92547e9i | 0.0355755 | − | 0.733386i | ||||
\(709\) | −3.75697e8 | + | 5.84596e8i | −0.0395891 | + | 0.0616019i | −0.860484 | − | 0.509477i | \(-0.829839\pi\) |
0.820895 | + | 0.571079i | \(0.193475\pi\) | |||||||
\(710\) | −2.34379e9 | + | 2.70488e9i | −0.245762 | + | 0.283624i | ||||
\(711\) | 3.91681e8 | − | 4.02774e9i | 0.0408685 | − | 0.420259i | ||||
\(712\) | 6.26544e9i | 0.650537i | ||||||||
\(713\) | 1.79536e10 | − | 1.63151e9i | 1.85498 | − | 0.168568i | ||||
\(714\) | 1.13026e8 | + | 1.19465e9i | 0.0116208 | + | 0.122828i | ||||
\(715\) | 9.88753e9 | + | 2.90324e9i | 1.01162 | + | 0.297038i | ||||
\(716\) | 3.77334e9 | + | 3.26962e9i | 0.384177 | + | 0.332891i | ||||
\(717\) | 1.31031e10 | + | 6.76959e9i | 1.32757 | + | 0.685876i | ||||
\(718\) | 3.90711e9 | + | 5.61757e8i | 0.393931 | + | 0.0566387i | ||||
\(719\) | −4.23100e9 | − | 6.58356e9i | −0.424514 | − | 0.660556i | 0.561451 | − | 0.827510i | \(-0.310243\pi\) |
−0.985965 | + | 0.166954i | \(0.946607\pi\) | |||||||
\(720\) | 5.69253e9 | + | 8.02358e9i | 0.568384 | + | 0.801132i | ||||
\(721\) | 2.71228e9 | + | 3.13014e9i | 0.269502 | + | 0.311022i | ||||
\(722\) | 1.11071e10 | − | 1.59696e9i | 1.09830 | − | 0.157912i | ||||
\(723\) | 1.63917e9 | − | 4.72275e9i | 0.161302 | − | 0.464741i | ||||
\(724\) | 1.73891e9 | + | 5.92220e9i | 0.170291 | + | 0.579960i | ||||
\(725\) | −4.29095e8 | − | 1.46136e9i | −0.0418187 | − | 0.142421i | ||||
\(726\) | −5.49184e8 | + | 1.58231e9i | −0.0532648 | + | 0.153466i | ||||
\(727\) | 1.74502e10 | − | 2.50897e9i | 1.68435 | − | 0.242172i | 0.767395 | − | 0.641174i | \(-0.221552\pi\) |
0.916950 | + | 0.399002i | \(0.130643\pi\) | |||||||
\(728\) | −3.36904e9 | − | 3.88808e9i | −0.323628 | − | 0.373487i | ||||
\(729\) | −8.77015e9 | − | 5.70119e9i | −0.838418 | − | 0.545028i | ||||
\(730\) | −1.90441e9 | − | 2.96332e9i | −0.181188 | − | 0.281935i | ||||
\(731\) | 2.06617e9 | + | 2.97070e8i | 0.195639 | + | 0.0281286i | ||||
\(732\) | −7.55528e9 | − | 3.90335e9i | −0.711971 | − | 0.367831i | ||||
\(733\) | −5.63756e8 | − | 4.88497e8i | −0.0528722 | − | 0.0458140i | 0.628024 | − | 0.778194i | \(-0.283864\pi\) |
−0.680896 | + | 0.732380i | \(0.738409\pi\) | |||||||
\(734\) | 1.84622e10 | + | 5.42100e9i | 1.72325 | + | 0.505991i | ||||
\(735\) | 5.54939e8 | + | 5.86555e9i | 0.0515513 | + | 0.544883i | ||||
\(736\) | −4.51620e9 | + | 8.66266e9i | −0.417542 | + | 0.800901i | ||||
\(737\) | 5.27462e7i | 0.00485349i | ||||||||
\(738\) | −1.31513e10 | − | 1.27891e9i | −1.20440 | − | 0.117123i | ||||
\(739\) | −1.20450e9 | + | 1.39007e9i | −0.109787 | + | 0.126701i | −0.807983 | − | 0.589205i | \(-0.799441\pi\) |
0.698196 | + | 0.715907i | \(0.253986\pi\) | |||||||
\(740\) | 4.23147e9 | − | 6.58429e9i | 0.383866 | − | 0.597307i | ||||
\(741\) | 1.06832e9 | − | 2.20233e10i | 0.0964578 | − | 1.98847i | ||||
\(742\) | 5.82385e9 | − | 3.74276e9i | 0.523355 | − | 0.336340i | ||||
\(743\) | 4.92118e9 | + | 1.07759e10i | 0.440158 | + | 0.963812i | 0.991569 | + | 0.129578i | \(0.0413623\pi\) |
−0.551411 | + | 0.834234i | \(0.685910\pi\) | |||||||
\(744\) | −9.41871e9 | − | 8.99639e9i | −0.838467 | − | 0.800872i | ||||
\(745\) | 3.84740e8 | + | 2.67593e9i | 0.0340895 | + | 0.237098i | ||||
\(746\) | 9.45573e9 | − | 2.07052e10i | 0.833890 | − | 1.82597i | ||||
\(747\) | 1.98461e9 | − | 1.01877e9i | 0.174202 | − | 0.0894238i | ||||
\(748\) | −9.19212e8 | + | 2.69905e8i | −0.0803082 | + | 0.0235806i | ||||
\(749\) | 2.52509e9 | + | 1.15317e9i | 0.219579 | + | 0.100278i | ||||
\(750\) | 3.59920e9 | + | 1.48927e10i | 0.311524 | + | 1.28902i | ||||
\(751\) | 6.17603e8 | − | 5.35156e8i | 0.0532071 | − | 0.0461042i | −0.627851 | − | 0.778333i | \(-0.716065\pi\) |
0.681058 | + | 0.732229i | \(0.261520\pi\) | |||||||
\(752\) | −1.33692e10 | + | 6.10552e9i | −1.14642 | + | 0.523553i | ||||
\(753\) | −1.26386e9 | − | 1.61001e9i | −0.107874 | − | 0.137419i | ||||
\(754\) | −1.14369e9 | + | 7.95453e9i | −0.0971646 | + | 0.675795i | ||||
\(755\) | −7.32649e9 | − | 4.70845e9i | −0.619557 | − | 0.398165i | ||||
\(756\) | −1.34009e9 | + | 2.91422e9i | −0.112800 | + | 0.245299i | ||||
\(757\) | 1.66970e9 | − | 5.68648e9i | 0.139895 | − | 0.476440i | −0.859503 | − | 0.511131i | \(-0.829227\pi\) |
0.999398 | + | 0.0346914i | \(0.0110448\pi\) | |||||||
\(758\) | −2.81312e10 | −2.34610 | ||||||||
\(759\) | −9.17153e9 | + | 6.45603e9i | −0.761370 | + | 0.535944i | ||||
\(760\) | −8.18001e9 | −0.675937 | ||||||||
\(761\) | −4.10416e9 | + | 1.39775e10i | −0.337581 | + | 1.14969i | 0.599440 | + | 0.800420i | \(0.295390\pi\) |
−0.937020 | + | 0.349274i | \(0.886428\pi\) | |||||||
\(762\) | 1.41358e9 | − | 1.98144e9i | 0.115739 | − | 0.162233i | ||||
\(763\) | 7.01691e9 | + | 4.50949e9i | 0.571886 | + | 0.367529i | ||||
\(764\) | 1.25436e9 | − | 8.72423e9i | 0.101764 | − | 0.707784i | ||||
\(765\) | 1.29414e9 | − | 1.22966e9i | 0.104512 | − | 0.0993050i | ||||
\(766\) | −1.84603e10 | + | 8.43053e9i | −1.48401 | + | 0.677726i | ||||
\(767\) | 2.03896e10 | − | 1.76677e10i | 1.63164 | − | 1.41383i | ||||
\(768\) | 1.43344e10 | − | 3.46427e9i | 1.14187 | − | 0.275961i | ||||
\(769\) | −1.07613e10 | − | 4.91451e9i | −0.853339 | − | 0.389707i | −0.0597886 | − | 0.998211i | \(-0.519043\pi\) |
−0.793551 | + | 0.608504i | \(0.791770\pi\) | |||||||
\(770\) | 5.98183e9 | − | 1.75642e9i | 0.472190 | − | 0.138647i | ||||
\(771\) | 3.63268e8 | − | 1.45064e8i | 0.0285454 | − | 0.0113990i | ||||
\(772\) | 2.01926e9 | − | 4.42156e9i | 0.157954 | − | 0.345871i | ||||
\(773\) | −4.10638e8 | − | 2.85605e9i | −0.0319765 | − | 0.222402i | 0.967567 | − | 0.252615i | \(-0.0812905\pi\) |
−0.999543 | + | 0.0302130i | \(0.990381\pi\) | |||||||
\(774\) | 1.33180e10 | + | 1.05109e10i | 1.03239 | + | 0.814795i | ||||
\(775\) | −3.83408e9 | − | 8.39547e9i | −0.295873 | − | 0.647872i | ||||
\(776\) | 3.68604e9 | − | 2.36888e9i | 0.283168 | − | 0.181981i | ||||
\(777\) | −1.32673e10 | − | 6.43575e8i | −1.01463 | − | 0.0492182i | ||||
\(778\) | 1.22273e10 | − | 1.90260e10i | 0.930896 | − | 1.44850i | ||||
\(779\) | 1.18345e10 | − | 1.36578e10i | 0.896953 | − | 1.03514i | ||||
\(780\) | 1.39809e9 | − | 7.22013e9i | 0.105488 | − | 0.544771i | ||||
\(781\) | 4.84927e9i | 0.364248i | ||||||||
\(782\) | 2.82532e9 | + | 9.92351e8i | 0.211273 | + | 0.0742064i | ||||
\(783\) | −5.00696e9 | + | 1.45598e9i | −0.372742 | + | 0.108390i | ||||
\(784\) | 1.12694e10 | + | 3.30900e9i | 0.835210 | + | 0.245240i | ||||
\(785\) | −6.35303e9 | − | 5.50494e9i | −0.468746 | − | 0.406171i | ||||
\(786\) | −1.56069e9 | + | 3.02085e9i | −0.114640 | + | 0.221896i | ||||
\(787\) | −6.62611e8 | − | 9.52691e7i | −0.0484560 | − | 0.00696691i | 0.118044 | − | 0.993008i | \(-0.462338\pi\) |
−0.166500 | + | 0.986041i | \(0.553247\pi\) | |||||||
\(788\) | 6.49935e9 | + | 1.01132e10i | 0.473182 | + | 0.736286i | ||||
\(789\) | 7.13671e9 | − | 4.11210e9i | 0.517284 | − | 0.298054i | ||||
\(790\) | 3.67589e9 | + | 4.24220e9i | 0.265257 | + | 0.306123i | ||||
\(791\) | −5.69734e9 | + | 8.19154e8i | −0.409312 | + | 0.0588502i | ||||
\(792\) | 7.87170e9 | + | 1.92417e9i | 0.563028 | + | 0.137628i | ||||
\(793\) | −9.32252e9 | − | 3.17496e10i | −0.663861 | − | 2.26090i | ||||
\(794\) | 1.88111e9 | + | 6.40646e9i | 0.133365 | + | 0.454199i | ||||
\(795\) | −9.72949e9 | − | 3.37690e9i | −0.686760 | − | 0.238360i | ||||
\(796\) | −9.61516e8 | + | 1.38245e8i | −0.0675711 | + | 0.00971526i | ||||
\(797\) | 6.91372e9 | + | 7.97886e9i | 0.483735 | + | 0.558261i | 0.944181 | − | 0.329428i | \(-0.106856\pi\) |
−0.460445 | + | 0.887688i | \(0.652310\pi\) | |||||||
\(798\) | −6.65969e9 | − | 1.15581e10i | −0.463921 | − | 0.805153i | ||||
\(799\) | 1.44189e9 | + | 2.24363e9i | 0.100004 | + | 0.155610i | ||||
\(800\) | 4.95060e9 | + | 7.11789e8i | 0.341856 | + | 0.0491514i | ||||
\(801\) | 1.41013e10 | + | 5.67382e9i | 0.969495 | + | 0.390087i | ||||
\(802\) | 1.60445e10 | + | 1.39026e10i | 1.09829 | + | 0.951671i | ||||
\(803\) | −4.57931e9 | − | 1.34461e9i | −0.312102 | − | 0.0916413i | ||||
\(804\) | 3.74755e7 | − | 3.54556e6i | 0.00254303 | − | 0.000240596i | ||||
\(805\) | −6.04662e9 | − | 2.12379e9i | −0.408533 | − | 0.143491i | ||||
\(806\) | 4.86991e10i | 3.27603i | ||||||||
\(807\) | 2.17698e10 | + | 4.21545e9i | 1.45813 | + | 0.282349i | ||||
\(808\) | −3.75940e9 | + | 4.33858e9i | −0.250714 | + | 0.289339i | ||||
\(809\) | 1.10795e10 | − | 1.72401e10i | 0.735702 | − | 1.14478i | −0.248655 | − | 0.968592i | \(-0.579989\pi\) |
0.984357 | − | 0.176183i | \(-0.0563751\pi\) | |||||||
\(810\) | 1.41124e10 | − | 3.37163e9i | 0.933046 | − | 0.222917i | ||||
\(811\) | −1.90223e9 | + | 1.22249e9i | −0.125225 | + | 0.0804771i | −0.601754 | − | 0.798682i | \(-0.705531\pi\) |
0.476529 | + | 0.879159i | \(0.341895\pi\) | |||||||
\(812\) | 6.64222e8 | + | 1.45444e9i | 0.0435379 | + | 0.0953346i | ||||
\(813\) | −1.98459e9 | + | 2.07775e9i | −0.129525 | + | 0.135606i | ||||
\(814\) | −4.58894e9 | − | 3.19168e10i | −0.298213 | − | 2.07412i | ||||
\(815\) | 1.07939e9 | − | 2.36354e9i | 0.0698438 | − | 0.152937i | ||||
\(816\) | −1.31978e9 | − | 3.30498e9i | −0.0850326 | − | 0.212938i | ||||
\(817\) | −2.22645e10 | + | 6.53746e9i | −1.42836 | + | 0.419403i | ||||
\(818\) | 6.74397e9 | + | 3.07987e9i | 0.430804 | + | 0.196741i | ||||
\(819\) | −1.18016e10 | + | 4.06158e9i | −0.750667 | + | 0.258346i | ||||
\(820\) | 4.55538e9 | − | 3.94726e9i | 0.288520 | − | 0.250004i | ||||
\(821\) | −1.36554e10 | + | 6.23620e9i | −0.861196 | + | 0.393295i | −0.796521 | − | 0.604611i | \(-0.793329\pi\) |
−0.0646756 | + | 0.997906i | \(0.520601\pi\) | |||||||
\(822\) | 1.63824e10 | − | 1.28602e10i | 1.02879 | − | 0.807597i | ||||
\(823\) | 2.20062e9 | − | 1.53057e10i | 0.137609 | − | 0.957090i | −0.797649 | − | 0.603122i | \(-0.793923\pi\) |
0.935258 | − | 0.353968i | \(-0.115168\pi\) | |||||||
\(824\) | −6.28202e9 | − | 4.03721e9i | −0.391160 | − | 0.251383i | ||||
\(825\) | 4.67454e9 | + | 3.33486e9i | 0.289834 | + | 0.206771i | ||||
\(826\) | 4.59848e9 | − | 1.56610e10i | 0.283912 | − | 0.966917i | ||||
\(827\) | −2.60586e10 | −1.60207 | −0.801036 | − | 0.598616i | \(-0.795718\pi\) | ||||
−0.801036 | + | 0.598616i | \(0.795718\pi\) | |||||||
\(828\) | 5.20344e9 | + | 6.08230e9i | 0.318555 | + | 0.372359i | ||||
\(829\) | 5.74832e9 | 0.350429 | 0.175214 | − | 0.984530i | \(-0.443938\pi\) | ||||
0.175214 | + | 0.984530i | \(0.443938\pi\) | |||||||
\(830\) | −8.71787e8 | + | 2.96903e9i | −0.0529221 | + | 0.180236i | ||||
\(831\) | −1.96503e10 | − | 1.40187e10i | −1.18786 | − | 0.847433i | ||||
\(832\) | 2.96781e9 | + | 1.90730e9i | 0.178651 | + | 0.114812i | ||||
\(833\) | 3.03315e8 | − | 2.10960e9i | 0.0181818 | − | 0.126457i | ||||
\(834\) | −9.78193e9 | + | 7.67882e9i | −0.583907 | + | 0.458367i | ||||
\(835\) | −3.94263e9 | + | 1.80054e9i | −0.234360 | + | 0.107028i | ||||
\(836\) | 8.04850e9 | − | 6.97406e9i | 0.476423 | − | 0.412823i | ||||
\(837\) | −2.87770e10 | + | 1.30513e10i | −1.69632 | + | 0.769334i | ||||
\(838\) | 4.53234e9 | + | 2.06985e9i | 0.266053 | + | 0.121502i | ||||
\(839\) | 6.30253e9 | − | 1.85059e9i | 0.368424 | − | 0.108179i | −0.0922794 | − | 0.995733i | \(-0.529415\pi\) |
0.460704 | + | 0.887554i | \(0.347597\pi\) | |||||||
\(840\) | 1.71716e9 | + | 4.30011e9i | 0.0999618 | + | 0.250324i | ||||
\(841\) | 6.08607e9 | − | 1.33266e10i | 0.352818 | − | 0.772564i | ||||
\(842\) | −9.83574e8 | − | 6.84091e9i | −0.0567825 | − | 0.394931i | ||||
\(843\) | −4.16359e9 | + | 4.35904e9i | −0.239371 | + | 0.250608i | ||||
\(844\) | 4.50146e9 | + | 9.85682e9i | 0.257724 | + | 0.564336i | ||||
\(845\) | 1.24780e10 | − | 8.01910e9i | 0.711452 | − | 0.457222i | ||||
\(846\) | 9.93721e8 | + | 2.16541e10i | 0.0564246 | + | 1.22954i | ||||
\(847\) | −7.01040e8 | + | 1.09084e9i | −0.0396416 | + | 0.0616835i | ||||
\(848\) | −1.34448e10 | + | 1.55161e10i | −0.757127 | + | 0.873771i | ||||
\(849\) | 2.04631e10 | + | 3.96243e9i | 1.14761 | + | 0.222221i | ||||
\(850\) | − | 1.53310e9i | − | 0.0856254i | ||||||
\(851\) | −1.53234e10 | + | 2.93923e10i | −0.852320 | + | 1.63486i | ||||
\(852\) | 3.44535e9 | − | 3.25964e8i | 0.190851 | − | 0.0180564i | ||||
\(853\) | 3.44025e9 | + | 1.01015e9i | 0.189788 | + | 0.0557267i | 0.375245 | − | 0.926926i | \(-0.377558\pi\) |
−0.185457 | + | 0.982652i | \(0.559377\pi\) | |||||||
\(854\) | −1.51294e10 | − | 1.31097e10i | −0.831224 | − | 0.720259i | ||||
\(855\) | −7.40760e9 | + | 1.84103e10i | −0.405318 | + | 1.00735i | ||||
\(856\) | −4.95399e9 | − | 7.12276e8i | −0.269958 | − | 0.0388141i | ||||
\(857\) | 1.74787e10 | + | 2.71974e10i | 0.948587 | + | 1.47603i | 0.878077 | + | 0.478519i | \(0.158826\pi\) |
0.0705092 | + | 0.997511i | \(0.477538\pi\) | |||||||
\(858\) | −1.51263e10 | − | 2.62523e10i | −0.817574 | − | 1.41893i | ||||
\(859\) | −5.01727e8 | − | 5.79024e8i | −0.0270079 | − | 0.0311688i | 0.742085 | − | 0.670306i | \(-0.233837\pi\) |
−0.769093 | + | 0.639137i | \(0.779292\pi\) | |||||||
\(860\) | −7.66079e9 | + | 1.10146e9i | −0.410704 | + | 0.0590503i | ||||
\(861\) | −9.66401e9 | − | 3.35417e9i | −0.515996 | − | 0.179091i | ||||
\(862\) | −7.51119e9 | − | 2.55807e10i | −0.399423 | − | 1.36031i | ||||
\(863\) | −8.01868e9 | − | 2.73091e10i | −0.424683 | − | 1.44634i | −0.842939 | − | 0.538008i | \(-0.819177\pi\) |
0.418257 | − | 0.908329i | \(-0.362641\pi\) | |||||||
\(864\) | 2.48115e9 | − | 1.69425e10i | 0.130875 | − | 0.893675i | ||||
\(865\) | 1.97110e10 | − | 2.83401e9i | 1.03551 | − | 0.148883i | ||||
\(866\) | −1.96541e10 | − | 2.26820e10i | −1.02835 | − | 1.18678i | ||||
\(867\) | 1.60675e10 | − | 9.25795e9i | 0.837302 | − | 0.482445i | ||||
\(868\) | 5.23845e9 | + | 8.15119e9i | 0.271884 | + | 0.423060i | ||||
\(869\) | 7.52795e9 | + | 1.08236e9i | 0.389142 | + | 0.0559501i | ||||
\(870\) | 3.31988e9 | − | 6.42592e9i | 0.170925 | − | 0.330840i | ||||
\(871\) | 1.10696e8 | + | 9.59187e7i | 0.00567635 | + | 0.00491858i | ||||
\(872\) | −1.44294e10 | − | 4.23684e9i | −0.736952 | − | 0.216389i | ||||
\(873\) | −1.99352e9 | − | 1.04412e10i | −0.101408 | − | 0.531128i | ||||
\(874\) | −3.31517e10 | + | 3.01260e9i | −1.67964 | + | 0.152634i | ||||
\(875\) | 1.18616e10i | 0.598572i | ||||||||
\(876\) | −6.47510e8 | + | 3.34393e9i | −0.0325449 | + | 0.168071i | ||||
\(877\) | −1.22006e10 | + | 1.40803e10i | −0.610779 | + | 0.704876i | −0.973929 | − | 0.226855i | \(-0.927156\pi\) |
0.363150 | + | 0.931731i | \(0.381701\pi\) | |||||||
\(878\) | −1.12915e9 | + | 1.75699e9i | −0.0563014 | + | 0.0876067i | ||||
\(879\) | 2.46647e10 | + | 1.19645e9i | 1.22494 | + | 0.0594201i | ||||
\(880\) | −1.55540e10 | + | 9.99592e9i | −0.769399 | + | 0.494463i | ||||
\(881\) | −1.66116e10 | − | 3.63744e10i | −0.818458 | − | 1.79217i | −0.565627 | − | 0.824661i | \(-0.691366\pi\) |
−0.252831 | − | 0.967510i | \(-0.581362\pi\) | |||||||
\(882\) | 1.07319e10 | − | 1.35979e10i | 0.526667 | − | 0.667316i | ||||
\(883\) | 2.23522e9 | + | 1.55463e10i | 0.109259 | + | 0.759913i | 0.968621 | + | 0.248544i | \(0.0799522\pi\) |
−0.859362 | + | 0.511368i | \(0.829139\pi\) | |||||||
\(884\) | −1.10515e9 | + | 2.41993e9i | −0.0538067 | + | 0.117820i | ||||
\(885\) | −2.25504e10 | + | 9.00504e9i | −1.09358 | + | 0.436701i | ||||
\(886\) | −2.17843e10 | + | 6.39646e9i | −1.05227 | + | 0.308974i | ||||
\(887\) | 3.32207e10 | + | 1.51714e10i | 1.59837 | + | 0.729949i | 0.997584 | − | 0.0694647i | \(-0.0221291\pi\) |
0.600781 | + | 0.799414i | \(0.294856\pi\) | |||||||
\(888\) | 2.32783e10 | − | 5.62580e9i | 1.11559 | − | 0.269612i | ||||
\(889\) | 1.42411e9 | − | 1.23399e9i | 0.0679808 | − | 0.0589057i | ||||
\(890\) | −1.91786e10 | + | 8.75857e9i | −0.911909 | + | 0.416455i | ||||
\(891\) | 1.14590e10 | − | 1.59739e10i | 0.542720 | − | 0.756554i | ||||
\(892\) | −2.64162e9 | + | 1.83729e10i | −0.124622 | + | 0.866763i | ||||
\(893\) | −2.49410e10 | − | 1.60286e10i | −1.17202 | − | 0.753208i | ||||
\(894\) | 4.61626e9 | − | 6.47071e9i | 0.216077 | − | 0.302880i | ||||
\(895\) | 4.92616e9 | − | 1.67770e10i | 0.229683 | − | 0.782227i | ||||
\(896\) | 1.28493e10 | 0.596765 | ||||||||
\(897\) | −3.12940e9 | + | 3.09882e10i | −0.144773 | + | 1.43358i | ||||
\(898\) | 1.65672e10 | 0.763452 | ||||||||
\(899\) | −4.43768e9 | + | 1.51133e10i | −0.203703 | + | 0.693748i | ||||
\(900\) | 2.05516e9 | − | 3.54537e9i | 0.0939717 | − | 0.162111i | ||||
\(901\) | 3.13412e9 | + | 2.01417e9i | 0.142751 | + | 0.0917403i | ||||
\(902\) | 3.53408e9 | − | 2.45801e10i | 0.160344 | − | 1.11522i | ||||
\(903\) | 8.11046e9 | + | 1.03318e10i | 0.366554 | + | 0.466948i | ||||
\(904\) | 9.43990e9 | − | 4.31106e9i | 0.424989 | − | 0.194086i | ||||
\(905\) | 1.63359e10 | − | 1.41551e10i | 0.732608 | − | 0.634809i | ||||
\(906\) | 6.01516e9 | + | 2.48894e10i | 0.268719 | + | 1.11190i | ||||
\(907\) | −3.34829e10 | − | 1.52911e10i | −1.49004 | − | 0.680479i | −0.506679 | − | 0.862135i | \(-0.669127\pi\) |
−0.983362 | + | 0.181656i | \(0.941854\pi\) | |||||||
\(908\) | −8.91535e9 | + | 2.61778e9i | −0.395219 | + | 0.116047i | ||||
\(909\) | 6.36020e9 | + | 1.23900e10i | 0.280865 | + | 0.547138i | ||||
\(910\) | 7.19181e9 | − | 1.57479e10i | 0.316369 | − | 0.692751i | ||||
\(911\) | 2.03868e9 | + | 1.41793e10i | 0.0893376 | + | 0.621357i | 0.984470 | + | 0.175556i | \(0.0561722\pi\) |
−0.895132 | + | 0.445801i | \(0.852919\pi\) | |||||||
\(912\) | 2.86075e10 | + | 2.73248e10i | 1.24881 | + | 1.19282i | ||||
\(913\) | 1.74166e9 | + | 3.81369e9i | 0.0757381 | + | 0.165843i | ||||
\(914\) | −3.32475e9 | + | 2.13668e9i | −0.144028 | + | 0.0925612i | ||||
\(915\) | −1.44296e9 | + | 2.97466e10i | −0.0622704 | + | 1.28370i | ||||
\(916\) | −9.73676e9 | + | 1.51507e10i | −0.418582 | + | 0.651326i | ||||
\(917\) | −1.72384e9 | + | 1.98941e9i | −0.0738250 | + | 0.0851986i | ||||
\(918\) | −5.24871e9 | − | 1.37095e7i | −0.223925 | − | 0.000584886i | ||||
\(919\) | 5.68224e9i | 0.241499i | 0.992683 | + | 0.120750i | \(0.0385298\pi\) | ||||
−0.992683 | + | 0.120750i | \(0.961470\pi\) | |||||||
\(920\) | 1.15390e10 | + | 6.02597e8i | 0.488553 | + | 0.0255135i | ||||
\(921\) | −7.38931e8 | − | 7.81029e9i | −0.0311670 | − | 0.329426i | ||||
\(922\) | −5.81474e9 | − | 1.70736e9i | −0.244327 | − | 0.0717410i | ||||
\(923\) | 1.01770e10 | + | 8.81838e9i | 0.426002 | + | 0.369133i | ||||
\(924\) | −5.35572e9 | − | 2.76697e9i | −0.223340 | − | 0.115386i | ||||
\(925\) | 1.67974e10 | + | 2.41510e9i | 0.697822 | + | 0.100332i | ||||
\(926\) | −4.67456e9 | − | 7.27376e9i | −0.193465 | − | 0.301038i | ||||
\(927\) | −1.47752e10 | + | 1.04826e10i | −0.609191 | + | 0.432206i | ||||
\(928\) | −5.58971e9 | − | 6.45087e9i | −0.229600 | − | 0.264972i | ||||
\(929\) | 4.64120e10 | − | 6.67304e9i | 1.89922 | − | 0.273067i | 0.909459 | − | 0.415794i | \(-0.136496\pi\) |
0.989762 | + | 0.142728i | \(0.0455873\pi\) | |||||||
\(930\) | 1.43715e10 | − | 4.14070e10i | 0.585883 | − | 1.68804i | ||||
\(931\) | 6.67487e9 | + | 2.27325e10i | 0.271094 | + | 0.923260i | ||||
\(932\) | −2.41698e8 | − | 8.23148e8i | −0.00977952 | − | 0.0333060i | ||||
\(933\) | 1.35136e10 | − | 3.89353e10i | 0.544736 | − | 1.56949i | ||||
\(934\) | 1.94635e10 | − | 2.79843e9i | 0.781641 | − | 0.112383i | ||||
\(935\) | 2.19708e9 | + | 2.53557e9i | 0.0879033 | + | 0.101446i | ||||
\(936\) | 1.83528e10 | − | 1.30209e10i | 0.731540 | − | 0.519010i | ||||
\(937\) | 6.38889e9 | + | 9.94130e9i | 0.253709 | + | 0.394780i | 0.944623 | − | 0.328158i | \(-0.106428\pi\) |
−0.690913 | + | 0.722938i | \(0.742791\pi\) | |||||||
\(938\) | 8.77117e7 | + | 1.26110e7i | 0.00347015 | + | 0.000498932i | ||||
\(939\) | −5.31139e9 | − | 2.74407e9i | −0.209353 | − | 0.108160i | ||||
\(940\) | −7.47325e9 | − | 6.47560e9i | −0.293469 | − | 0.254292i | ||||
\(941\) | 3.35592e10 | + | 9.85388e9i | 1.31295 | + | 0.385517i | 0.861944 | − | 0.507003i | \(-0.169247\pi\) |
0.451007 | + | 0.892521i | \(0.351065\pi\) | |||||||
\(942\) | 2.32797e9 | + | 2.46060e10i | 0.0907400 | + | 0.959096i | ||||
\(943\) | −1.77003e10 | + | 1.83943e10i | −0.687369 | + | 0.714320i | ||||
\(944\) | 4.84060e10i | 1.87282i | ||||||||
\(945\) | 1.12331e10 | + | 2.93404e7i | 0.432999 | + | 0.00113098i | ||||
\(946\) | −2.08807e10 | + | 2.40976e10i | −0.801912 | + | 0.925456i | ||||
\(947\) | −1.00949e10 | + | 1.57079e10i | −0.386256 | + | 0.601026i | −0.978876 | − | 0.204457i | \(-0.934457\pi\) |
0.592620 | + | 0.805482i | \(0.298094\pi\) | |||||||
\(948\) | 2.62978e8 | − | 5.42128e9i | 0.0100251 | − | 0.206668i | ||||
\(949\) | −1.11493e10 | + | 7.16524e9i | −0.423465 | + | 0.272144i | ||||
\(950\) | 7.07969e9 | + | 1.55024e10i | 0.267906 | + | 0.586631i | ||||
\(951\) | −2.54269e10 | − | 2.42868e10i | −0.958652 | − | 0.915668i | ||||
\(952\) | −2.38374e8 | − | 1.65792e9i | −0.00895424 | − | 0.0622781i | ||||
\(953\) | −1.02254e10 | + | 2.23905e10i | −0.382697 | + | 0.837990i | 0.616038 | + | 0.787716i | \(0.288737\pi\) |
−0.998735 | + | 0.0502739i | \(0.983991\pi\) | |||||||
\(954\) | 1.38284e10 | + | 2.69384e10i | 0.515646 | + | 1.00450i | ||||
\(955\) | −2.96166e10 | + | 8.69622e9i | −1.10033 | + | 0.323086i | ||||
\(956\) | 1.79938e10 | + | 8.21748e9i | 0.666070 | + | 0.304184i | ||||
\(957\) | −2.30209e9 | − | 9.52554e9i | −0.0849045 | − | 0.351316i | ||||
\(958\) | 4.21429e10 | − | 3.65170e10i | 1.54862 | − | 1.34189i | ||||
\(959\) | 1.46669e10 | − | 6.69814e9i | 0.536998 | − | 0.245239i | ||||
\(960\) | −1.96056e9 | − | 2.49752e9i | −0.0715205 | − | 0.0911088i | ||||
\(961\) | −9.66869e9 | + | 6.72472e10i | −0.351427 | + | 2.44423i | ||||
\(962\) | −7.53273e10 | − | 4.84099e10i | −2.72797 | − | 1.75316i | ||||
\(963\) | −6.08928e9 | + | 1.05047e10i | −0.219722 | + | 0.379044i | ||||
\(964\) | 1.88903e9 | − | 6.43343e9i | 0.0679154 | − | 0.231299i | ||||
\(965\) | −1.70229e10 | −0.609799 | ||||||||
\(966\) | 8.54294e9 | + | 1.67949e10i | 0.304921 | + | 0.599457i | ||||
\(967\) | −5.92863e9 | −0.210844 | −0.105422 | − | 0.994428i | \(-0.533619\pi\) | ||||
−0.105422 | + | 0.994428i | \(0.533619\pi\) | |||||||
\(968\) | 6.58654e8 | − | 2.24317e9i | 0.0233396 | − | 0.0794874i | ||||
\(969\) | 4.16913e9 | − | 5.84395e9i | 0.147201 | − | 0.206335i | ||||
\(970\) | 1.24039e10 | + | 7.97152e9i | 0.436373 | + | 0.280440i | ||||
\(971\) | −3.18306e9 | + | 2.21386e10i | −0.111578 | + | 0.776039i | 0.854808 | + | 0.518944i | \(0.173675\pi\) |
−0.966386 | + | 0.257096i | \(0.917235\pi\) | |||||||
\(972\) | −1.21196e10 | − | 7.06776e9i | −0.423307 | − | 0.246860i | ||||
\(973\) | −8.75762e9 | + | 3.99947e9i | −0.304783 | + | 0.139190i | ||||
\(974\) | 3.29087e9 | − | 2.85156e9i | 0.114118 | − | 0.0988839i | ||||
\(975\) | 1.54994e10 | − | 3.74582e9i | 0.535547 | − | 0.129429i | ||||
\(976\) | 5.40045e10 | + | 2.46630e10i | 1.85933 | + | 0.849126i | ||||
\(977\) | −1.80828e10 | + | 5.30959e9i | −0.620348 | + | 0.182151i | −0.576779 | − | 0.816900i | \(-0.695691\pi\) |
−0.0435683 | + | 0.999050i | \(0.513873\pi\) | |||||||
\(978\) | −7.09481e9 | + | 2.83317e9i | −0.242524 | + | 0.0968470i | ||||
\(979\) | −1.18670e10 | + | 2.59850e10i | −0.404204 | + | 0.885083i | ||||
\(980\) | 1.12461e9 | + | 7.82182e9i | 0.0381689 | + | 0.265471i | ||||
\(981\) | −2.26025e10 | + | 2.86386e10i | −0.764389 | + | 0.968524i | ||||
\(982\) | −2.65848e9 | − | 5.82125e9i | −0.0895865 | − | 0.196167i | ||||
\(983\) | −4.42217e10 | + | 2.84196e10i | −1.48490 | + | 0.954289i | −0.488236 | + | 0.872712i | \(0.662359\pi\) |
−0.996667 | + | 0.0815772i | \(0.974004\pi\) | |||||||
\(984\) | 1.84218e10 | + | 8.93615e8i | 0.616382 | + | 0.0298998i | ||||
\(985\) | 2.27611e10 | − | 3.54170e10i | 0.758868 | − | 1.18082i | ||||
\(986\) | −1.71339e9 | + | 1.97736e9i | −0.0569231 | + | 0.0656927i | ||||
\(987\) | −3.19034e9 | + | 1.64759e10i | −0.105615 | + | 0.545429i | ||||
\(988\) | − | 2.95733e10i | − | 0.975554i | ||||||
\(989\) | 3.18887e10 | − | 7.58181e9i | 1.04821 | − | 0.249222i | ||||
\(990\) | 5.11406e9 | + | 2.67852e10i | 0.167511 | + | 0.877347i | ||||
\(991\) | −2.56165e10 | − | 7.52168e9i | −0.836107 | − | 0.245503i | −0.164468 | − | 0.986382i | \(-0.552591\pi\) |
−0.671638 | + | 0.740879i | \(0.734409\pi\) | |||||||
\(992\) | −3.90914e10 | − | 3.38729e10i | −1.27142 | − | 1.10170i | ||||
\(993\) | 1.42408e9 | − | 2.75643e9i | 0.0461542 | − | 0.0893356i | ||||
\(994\) | 8.06386e9 | + | 1.15941e9i | 0.260430 | + | 0.0374442i | ||||
\(995\) | 1.83921e9 | + | 2.86187e9i | 0.0591904 | + | 0.0921020i | ||||
\(996\) | 2.59251e9 | − | 1.49378e9i | 0.0831406 | − | 0.0479048i | ||||
\(997\) | −1.66103e10 | − | 1.91693e10i | −0.530816 | − | 0.612595i | 0.425489 | − | 0.904963i | \(-0.360102\pi\) |
−0.956306 | + | 0.292369i | \(0.905557\pi\) | |||||||
\(998\) | 1.22611e10 | − | 1.76288e9i | 0.390456 | − | 0.0561391i | ||||
\(999\) | 8.41853e9 | − | 5.74859e10i | 0.267151 | − | 1.82424i |
(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 | 69.8.g.a.5.12 | ✓ | 540 | |
3.2 | odd | 2 | inner | 69.8.g.a.5.43 | yes | 540 | |
23.14 | odd | 22 | inner | 69.8.g.a.14.43 | yes | 540 | |
69.14 | even | 22 | inner | 69.8.g.a.14.12 | yes | 540 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.8.g.a.5.12 | ✓ | 540 | 1.1 | even | 1 | trivial | |
69.8.g.a.5.43 | yes | 540 | 3.2 | odd | 2 | inner | |
69.8.g.a.14.12 | yes | 540 | 69.14 | even | 22 | inner | |
69.8.g.a.14.43 | yes | 540 | 23.14 | odd | 22 | inner |