Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,9,Mod(3,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.3");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.h (of order \(42\), degree \(12\), 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: | \(17.5172802326\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 18.4 | ||
Character | \(\chi\) | \(=\) | 43.18 |
Dual form | 43.9.h.a.12.4 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{29}{42}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −11.4624 | + | 23.8020i | −0.716402 | + | 1.48762i | 0.150217 | + | 0.988653i | \(0.452003\pi\) |
−0.866619 | + | 0.498970i | \(0.833712\pi\) | |||||||
\(3\) | −60.3142 | + | 88.4646i | −0.744619 | + | 1.09216i | 0.247746 | + | 0.968825i | \(0.420310\pi\) |
−0.992366 | + | 0.123331i | \(0.960642\pi\) | |||||||
\(4\) | −275.533 | − | 345.508i | −1.07630 | − | 1.34964i | ||||
\(5\) | −115.926 | − | 124.939i | −0.185482 | − | 0.199902i | 0.633465 | − | 0.773772i | \(-0.281632\pi\) |
−0.818947 | + | 0.573869i | \(0.805442\pi\) | |||||||
\(6\) | −1414.29 | − | 2449.62i | −1.09127 | − | 1.89014i | ||||
\(7\) | 812.788 | + | 469.263i | 0.338520 | + | 0.195445i | 0.659618 | − | 0.751601i | \(-0.270718\pi\) |
−0.321097 | + | 0.947046i | \(0.604052\pi\) | |||||||
\(8\) | 4788.56 | − | 1092.96i | 1.16908 | − | 0.266835i | ||||
\(9\) | −1791.19 | − | 4563.88i | −0.273006 | − | 0.695608i | ||||
\(10\) | 4302.59 | − | 1327.17i | 0.430259 | − | 0.132717i | ||||
\(11\) | 13419.1 | − | 16827.0i | 0.916544 | − | 1.14931i | −0.0718533 | − | 0.997415i | \(-0.522891\pi\) |
0.988397 | − | 0.151894i | \(-0.0485372\pi\) | |||||||
\(12\) | 47183.8 | − | 3535.94i | 2.27545 | − | 0.170522i | ||||
\(13\) | 17951.5 | + | 5537.32i | 0.628533 | + | 0.193877i | 0.592625 | − | 0.805478i | \(-0.298091\pi\) |
0.0359080 | + | 0.999355i | \(0.488568\pi\) | |||||||
\(14\) | −20485.9 | + | 13967.1i | −0.533265 | + | 0.363574i | ||||
\(15\) | 18044.7 | − | 2719.80i | 0.356438 | − | 0.0537244i | ||||
\(16\) | −3699.75 | + | 16209.7i | −0.0564537 | + | 0.247340i | ||||
\(17\) | −35068.2 | − | 32538.6i | −0.419873 | − | 0.389585i | 0.441746 | − | 0.897140i | \(-0.354359\pi\) |
−0.861620 | + | 0.507555i | \(0.830550\pi\) | |||||||
\(18\) | 129161. | + | 9679.26i | 1.23038 | + | 0.0922045i | ||||
\(19\) | −105290. | − | 41323.3i | −0.807928 | − | 0.317089i | −0.0748172 | − | 0.997197i | \(-0.523837\pi\) |
−0.733111 | + | 0.680109i | \(0.761933\pi\) | |||||||
\(20\) | −11225.8 | + | 74478.3i | −0.0701613 | + | 0.465489i | ||||
\(21\) | −90535.8 | + | 43599.7i | −0.465525 | + | 0.224185i | ||||
\(22\) | 246701. | + | 512280.i | 1.05313 | + | 2.18684i | ||||
\(23\) | −72368.1 | − | 10907.7i | −0.258604 | − | 0.0389783i | 0.0184604 | − | 0.999830i | \(-0.494124\pi\) |
−0.277065 | + | 0.960851i | \(0.589362\pi\) | |||||||
\(24\) | −192130. | + | 489539.i | −0.579095 | + | 1.47551i | ||||
\(25\) | 27020.6 | − | 360565.i | 0.0691728 | − | 0.923047i | ||||
\(26\) | −337567. | + | 363811.i | −0.738698 | + | 0.796127i | ||||
\(27\) | −173091. | − | 39507.0i | −0.325702 | − | 0.0743393i | ||||
\(28\) | −61816.0 | − | 410122.i | −0.100570 | − | 0.667239i | ||||
\(29\) | 25015.7 | + | 36691.3i | 0.0353688 | + | 0.0518766i | 0.843516 | − | 0.537104i | \(-0.180482\pi\) |
−0.808147 | + | 0.588981i | \(0.799529\pi\) | |||||||
\(30\) | −142099. | + | 460675.i | −0.175431 | + | 0.568734i | ||||
\(31\) | 41150.3 | + | 549113.i | 0.0445581 | + | 0.594587i | 0.974136 | + | 0.225961i | \(0.0725523\pi\) |
−0.929578 | + | 0.368625i | \(0.879829\pi\) | |||||||
\(32\) | 639658. | + | 510110.i | 0.610025 | + | 0.486479i | ||||
\(33\) | 679235. | + | 2.20203e6i | 0.572749 | + | 1.85681i | ||||
\(34\) | 1.17645e6 | − | 461722.i | 0.880354 | − | 0.345514i | ||||
\(35\) | −35594.3 | − | 155949.i | −0.0237196 | − | 0.103923i | ||||
\(36\) | −1.08332e6 | + | 1.87637e6i | −0.644983 | + | 1.11714i | ||||
\(37\) | 745816. | − | 430597.i | 0.397947 | − | 0.229755i | −0.287651 | − | 0.957735i | \(-0.592874\pi\) |
0.685598 | + | 0.727981i | \(0.259541\pi\) | |||||||
\(38\) | 2.19046e6 | − | 2.03245e6i | 1.05051 | − | 0.974731i | ||||
\(39\) | −1.57259e6 | + | 1.25410e6i | −0.679762 | + | 0.542092i | ||||
\(40\) | −691673. | − | 471575.i | −0.270185 | − | 0.184209i | ||||
\(41\) | 858394. | + | 413381.i | 0.303775 | + | 0.146290i | 0.579561 | − | 0.814929i | \(-0.303224\pi\) |
−0.275787 | + | 0.961219i | \(0.588938\pi\) | |||||||
\(42\) | − | 2.65469e6i | − | 0.853133i | ||||||
\(43\) | 1.44197e6 | − | 3.09982e6i | 0.421778 | − | 0.906699i | ||||
\(44\) | −9.51129e6 | −2.53763 | ||||||||
\(45\) | −362560. | + | 752864.i | −0.0884158 | + | 0.183597i | ||||
\(46\) | 1.08914e6 | − | 1.59747e6i | 0.243250 | − | 0.356782i | ||||
\(47\) | 795251. | + | 997213.i | 0.162972 | + | 0.204360i | 0.856612 | − | 0.515962i | \(-0.172565\pi\) |
−0.693640 | + | 0.720322i | \(0.743994\pi\) | |||||||
\(48\) | −1.21084e6 | − | 1.30497e6i | −0.228097 | − | 0.245830i | ||||
\(49\) | −2.44198e6 | − | 4.22964e6i | −0.423603 | − | 0.733701i | ||||
\(50\) | 8.27244e6 | + | 4.77610e6i | 1.32359 | + | 0.764176i | ||||
\(51\) | 4.99362e6 | − | 1.13976e6i | 0.738134 | − | 0.168474i | ||||
\(52\) | −3.03306e6 | − | 7.72812e6i | −0.414828 | − | 1.05696i | ||||
\(53\) | 1.19906e7 | − | 3.69862e6i | 1.51963 | − | 0.468744i | 0.581070 | − | 0.813854i | \(-0.302634\pi\) |
0.938562 | + | 0.345109i | \(0.112158\pi\) | |||||||
\(54\) | 2.92439e6 | − | 3.66707e6i | 0.343922 | − | 0.431265i | ||||
\(55\) | −3.65798e6 | + | 274128.i | −0.399752 | + | 0.0299573i | ||||
\(56\) | 4.40496e6 | + | 1.35875e6i | 0.447909 | + | 0.138162i | ||||
\(57\) | 1.00061e7 | − | 6.82207e6i | 0.947909 | − | 0.646274i | ||||
\(58\) | −1.16007e6 | + | 174852.i | −0.102511 | + | 0.0154511i | ||||
\(59\) | −2.18379e6 | + | 9.56781e6i | −0.180220 | + | 0.789595i | 0.801304 | + | 0.598257i | \(0.204140\pi\) |
−0.981524 | + | 0.191338i | \(0.938717\pi\) | |||||||
\(60\) | −5.91162e6 | − | 5.48518e6i | −0.456144 | − | 0.423240i | ||||
\(61\) | −5.47685e6 | − | 410433.i | −0.395559 | − | 0.0296431i | −0.124534 | − | 0.992215i | \(-0.539744\pi\) |
−0.271025 | + | 0.962572i | \(0.587363\pi\) | |||||||
\(62\) | −1.35417e7 | − | 5.31471e6i | −0.916442 | − | 0.359677i | ||||
\(63\) | 685803. | − | 4.55001e6i | 0.0435349 | − | 0.288835i | ||||
\(64\) | −2.33085e7 | + | 1.12248e7i | −1.38930 | + | 0.669050i | ||||
\(65\) | −1.38923e6 | − | 2.88477e6i | −0.0778253 | − | 0.161606i | ||||
\(66\) | −6.01982e7 | − | 9.07343e6i | −3.17255 | − | 0.478185i | ||||
\(67\) | 5.14960e6 | − | 1.31210e7i | 0.255549 | − | 0.651129i | −0.744311 | − | 0.667833i | \(-0.767222\pi\) |
0.999860 | + | 0.0167040i | \(0.00531730\pi\) | |||||||
\(68\) | −1.57986e6 | + | 2.10818e7i | −0.0738897 | + | 0.985990i | ||||
\(69\) | 5.32977e6 | − | 5.74413e6i | 0.235132 | − | 0.253412i | ||||
\(70\) | 4.11989e6 | + | 940337.i | 0.171590 | + | 0.0391644i | ||||
\(71\) | 4.91438e6 | + | 3.26048e7i | 0.193391 | + | 1.28306i | 0.849174 | + | 0.528113i | \(0.177100\pi\) |
−0.655783 | + | 0.754949i | \(0.727661\pi\) | |||||||
\(72\) | −1.35654e7 | − | 1.98967e7i | −0.504779 | − | 0.740374i | ||||
\(73\) | −1.85135e6 | + | 6.00192e6i | −0.0651923 | + | 0.211348i | −0.982308 | − | 0.187273i | \(-0.940035\pi\) |
0.917116 | + | 0.398621i | \(0.130511\pi\) | |||||||
\(74\) | 1.70020e6 | + | 2.26876e7i | 0.0566987 | + | 0.756592i | ||||
\(75\) | 3.02676e7 | + | 2.41376e7i | 0.956604 | + | 0.762866i | ||||
\(76\) | 1.47334e7 | + | 4.77645e7i | 0.441620 | + | 1.43170i | ||||
\(77\) | 1.88032e7 | − | 7.37971e6i | 0.534895 | − | 0.209931i | ||||
\(78\) | −1.18243e7 | − | 5.18057e7i | −0.319446 | − | 1.39959i | ||||
\(79\) | 2.37019e7 | − | 4.10529e7i | 0.608521 | − | 1.05399i | −0.382964 | − | 0.923763i | \(-0.625097\pi\) |
0.991484 | − | 0.130225i | \(-0.0415700\pi\) | |||||||
\(80\) | 2.45412e6 | − | 1.41689e6i | 0.0599150 | − | 0.0345919i | ||||
\(81\) | 3.75151e7 | − | 3.48089e7i | 0.871497 | − | 0.808631i | ||||
\(82\) | −1.96786e7 | + | 1.56931e7i | −0.435249 | + | 0.347100i | ||||
\(83\) | 3.97313e7 | + | 2.70883e7i | 0.837182 | + | 0.570781i | 0.904268 | − | 0.426966i | \(-0.140418\pi\) |
−0.0670854 | + | 0.997747i | \(0.521370\pi\) | |||||||
\(84\) | 4.00097e7 | + | 1.92677e7i | 0.803615 | + | 0.387001i | ||||
\(85\) | 8.15346e6i | 0.156195i | ||||||||
\(86\) | 5.72534e7 | + | 6.98534e7i | 1.04666 | + | 1.27701i | ||||
\(87\) | −4.75469e6 | −0.0829936 | ||||||||
\(88\) | 4.58670e7 | − | 9.52437e7i | 0.764838 | − | 1.58820i | ||||
\(89\) | −1.61527e7 | + | 2.36917e7i | −0.257446 | + | 0.377604i | −0.933101 | − | 0.359614i | \(-0.882908\pi\) |
0.675655 | + | 0.737218i | \(0.263861\pi\) | |||||||
\(90\) | −1.37638e7 | − | 1.72593e7i | −0.209782 | − | 0.263059i | ||||
\(91\) | 1.19923e7 | + | 1.29247e7i | 0.174879 | + | 0.188475i | ||||
\(92\) | 1.61711e7 | + | 2.80092e7i | 0.225730 | + | 0.390975i | ||||
\(93\) | −5.10591e7 | − | 2.94790e7i | −0.682560 | − | 0.394076i | ||||
\(94\) | −3.28512e7 | + | 7.49806e6i | −0.420765 | + | 0.0960368i | ||||
\(95\) | 7.04300e6 | + | 1.79453e7i | 0.0864696 | + | 0.220321i | ||||
\(96\) | −8.37072e7 | + | 2.58202e7i | −0.985548 | + | 0.304001i | ||||
\(97\) | 1.08615e8 | − | 1.36199e8i | 1.22688 | − | 1.53846i | 0.473642 | − | 0.880718i | \(-0.342939\pi\) |
0.753241 | − | 0.657745i | \(-0.228489\pi\) | |||||||
\(98\) | 1.28665e8 | − | 9.64210e6i | 1.39494 | − | 0.104536i | ||||
\(99\) | −1.00833e8 | − | 3.11028e7i | −1.04969 | − | 0.323787i | ||||
\(100\) | −1.32023e8 | + | 9.00119e7i | −1.32023 | + | 0.900119i | ||||
\(101\) | −7.16347e7 | + | 1.07972e7i | −0.688396 | + | 0.103759i | −0.483919 | − | 0.875113i | \(-0.660787\pi\) |
−0.204476 | + | 0.978872i | \(0.565549\pi\) | |||||||
\(102\) | −3.01105e7 | + | 1.31923e8i | −0.278174 | + | 1.21876i | ||||
\(103\) | −4.81276e7 | − | 4.46559e7i | −0.427608 | − | 0.396762i | 0.436796 | − | 0.899561i | \(-0.356113\pi\) |
−0.864404 | + | 0.502799i | \(0.832304\pi\) | |||||||
\(104\) | 9.20140e7 | + | 6.89550e6i | 0.786540 | + | 0.0589430i | ||||
\(105\) | 1.59428e7 | + | 6.25709e6i | 0.131162 | + | 0.0514772i | ||||
\(106\) | −4.94073e7 | + | 3.27796e8i | −0.391352 | + | 2.59645i | ||||
\(107\) | 1.35317e8 | − | 6.51653e7i | 1.03233 | − | 0.497143i | 0.160541 | − | 0.987029i | \(-0.448676\pi\) |
0.871786 | + | 0.489886i | \(0.162962\pi\) | |||||||
\(108\) | 3.40425e7 | + | 7.06899e7i | 0.250222 | + | 0.519592i | ||||
\(109\) | −2.57127e8 | − | 3.87556e7i | −1.82155 | − | 0.274555i | −0.852737 | − | 0.522341i | \(-0.825059\pi\) |
−0.968815 | + | 0.247786i | \(0.920297\pi\) | |||||||
\(110\) | 3.54046e7 | − | 9.02093e7i | 0.241818 | − | 0.616142i | ||||
\(111\) | −6.89066e6 | + | 9.19495e7i | −0.0453909 | + | 0.605700i | ||||
\(112\) | −1.06137e7 | + | 1.14389e7i | −0.0674521 | + | 0.0726960i | ||||
\(113\) | −1.77306e8 | − | 4.04688e7i | −1.08745 | − | 0.248203i | −0.359023 | − | 0.933329i | \(-0.616890\pi\) |
−0.728425 | + | 0.685126i | \(0.759747\pi\) | |||||||
\(114\) | 4.76841e7 | + | 3.16363e8i | 0.282328 | + | 1.87312i | ||||
\(115\) | 7.02657e6 | + | 1.03061e7i | 0.0401746 | + | 0.0589254i | ||||
\(116\) | 5.78447e6 | − | 1.87528e7i | 0.0319471 | − | 0.103570i | ||||
\(117\) | −6.88299e6 | − | 9.18471e7i | −0.0367311 | − | 0.490142i | ||||
\(118\) | −2.02701e8 | − | 1.61649e8i | −1.04551 | − | 0.833766i | ||||
\(119\) | −1.32339e7 | − | 4.29032e7i | −0.0659932 | − | 0.213945i | ||||
\(120\) | 8.34354e7 | − | 3.27460e7i | 0.402370 | − | 0.157918i | ||||
\(121\) | −5.53772e7 | − | 2.42623e8i | −0.258339 | − | 1.13186i | ||||
\(122\) | 7.25471e7 | − | 1.25655e8i | 0.327477 | − | 0.567207i | ||||
\(123\) | −8.83429e7 | + | 5.10048e7i | −0.385968 | + | 0.222839i | ||||
\(124\) | 1.78385e8 | − | 1.65517e8i | 0.754520 | − | 0.700092i | ||||
\(125\) | −1.00233e8 | + | 7.99331e7i | −0.410554 | + | 0.327406i | ||||
\(126\) | 1.00438e8 | + | 6.84776e7i | 0.398489 | + | 0.271685i | ||||
\(127\) | −1.18218e8 | − | 5.69308e7i | −0.454432 | − | 0.218843i | 0.192644 | − | 0.981269i | \(-0.438294\pi\) |
−0.647075 | + | 0.762426i | \(0.724008\pi\) | |||||||
\(128\) | − | 4.74005e8i | − | 1.76581i | ||||||
\(129\) | 1.87253e8 | + | 3.14527e8i | 0.676193 | + | 1.13579i | ||||
\(130\) | 8.45871e7 | 0.296163 | ||||||||
\(131\) | 2.04224e8 | − | 4.24075e8i | 0.693459 | − | 1.43998i | −0.194895 | − | 0.980824i | \(-0.562437\pi\) |
0.888354 | − | 0.459159i | \(-0.151849\pi\) | |||||||
\(132\) | 5.73665e8 | − | 8.41413e8i | 1.88957 | − | 2.77149i | ||||
\(133\) | −6.61869e7 | − | 8.29958e7i | −0.211527 | − | 0.265246i | ||||
\(134\) | 2.53278e8 | + | 2.72969e8i | 0.785559 | + | 0.846631i | ||||
\(135\) | 1.51299e7 | + | 2.62057e7i | 0.0455513 | + | 0.0788971i | ||||
\(136\) | −2.03489e8 | − | 1.17485e8i | −0.594821 | − | 0.343420i | ||||
\(137\) | 2.31698e8 | − | 5.28836e7i | 0.657719 | − | 0.150120i | 0.119380 | − | 0.992849i | \(-0.461909\pi\) |
0.538339 | + | 0.842728i | \(0.319052\pi\) | |||||||
\(138\) | 7.56294e7 | + | 1.92701e8i | 0.208533 | + | 0.531333i | ||||
\(139\) | −3.15392e8 | + | 9.72854e7i | −0.844872 | + | 0.260608i | −0.686825 | − | 0.726823i | \(-0.740996\pi\) |
−0.158047 | + | 0.987432i | \(0.550520\pi\) | |||||||
\(140\) | −4.40741e7 | + | 5.52672e7i | −0.114729 | + | 0.143865i | ||||
\(141\) | −1.36183e8 | + | 1.02055e7i | −0.344546 | + | 0.0258201i | ||||
\(142\) | −8.32389e8 | − | 2.56758e8i | −2.04726 | − | 0.631496i | ||||
\(143\) | 3.34070e8 | − | 2.27765e8i | 0.798903 | − | 0.544683i | ||||
\(144\) | 8.06060e7 | − | 1.21494e7i | 0.187464 | − | 0.0282556i | ||||
\(145\) | 1.68419e6 | − | 7.37893e6i | 0.00380995 | − | 0.0166925i | ||||
\(146\) | −1.21637e8 | − | 1.12862e8i | −0.267703 | − | 0.248392i | ||||
\(147\) | 5.21460e8 | + | 3.90780e7i | 1.11674 | + | 0.0836880i | ||||
\(148\) | −3.54272e8 | − | 1.39042e8i | −0.738397 | − | 0.289800i | ||||
\(149\) | 1.01391e8 | − | 6.72684e8i | 0.205709 | − | 1.36479i | −0.612773 | − | 0.790259i | \(-0.709946\pi\) |
0.818482 | − | 0.574532i | \(-0.194816\pi\) | |||||||
\(150\) | −9.21461e8 | + | 4.43752e8i | −1.82017 | + | 0.876548i | ||||
\(151\) | 3.88062e8 | + | 8.05819e8i | 0.746437 | + | 1.54999i | 0.832702 | + | 0.553721i | \(0.186793\pi\) |
−0.0862648 | + | 0.996272i | \(0.527493\pi\) | |||||||
\(152\) | −5.49352e8 | − | 8.28015e7i | −1.02914 | − | 0.155119i | ||||
\(153\) | −8.56882e7 | + | 2.18330e8i | −0.156371 | + | 0.398426i | ||||
\(154\) | −3.98786e7 | + | 5.32143e8i | −0.0709017 | + | 0.946118i | ||||
\(155\) | 6.38352e7 | − | 6.87980e7i | 0.110594 | − | 0.119192i | ||||
\(156\) | 8.66602e8 | + | 1.97796e8i | 1.46326 | + | 0.333979i | ||||
\(157\) | −1.23577e7 | − | 8.19881e7i | −0.0203395 | − | 0.134944i | 0.976356 | − | 0.216167i | \(-0.0693555\pi\) |
−0.996696 | + | 0.0812231i | \(0.974117\pi\) | |||||||
\(158\) | 7.05459e8 | + | 1.03472e9i | 1.13199 | + | 1.66033i | ||||
\(159\) | −3.96008e8 | + | 1.28383e9i | −0.619606 | + | 2.00871i | ||||
\(160\) | −1.04206e7 | − | 1.39053e8i | −0.0159006 | − | 0.212179i | ||||
\(161\) | −5.37013e7 | − | 4.28253e7i | −0.0799247 | − | 0.0637378i | ||||
\(162\) | 3.98507e8 | + | 1.29193e9i | 0.578596 | + | 1.87576i | ||||
\(163\) | 9.54294e8 | − | 3.74533e8i | 1.35186 | − | 0.530566i | 0.424735 | − | 0.905318i | \(-0.360367\pi\) |
0.927125 | + | 0.374752i | \(0.122272\pi\) | |||||||
\(164\) | −9.36899e7 | − | 4.10482e8i | −0.129514 | − | 0.567439i | ||||
\(165\) | 1.96377e8 | − | 3.40136e8i | 0.264945 | − | 0.458898i | ||||
\(166\) | −1.10017e9 | + | 6.35185e8i | −1.44887 | + | 0.836503i | ||||
\(167\) | −2.03996e8 | + | 1.89280e8i | −0.262274 | + | 0.243354i | −0.800338 | − | 0.599550i | \(-0.795346\pi\) |
0.538064 | + | 0.842904i | \(0.319156\pi\) | |||||||
\(168\) | −3.85883e8 | + | 3.07732e8i | −0.484416 | + | 0.386309i | ||||
\(169\) | −3.82392e8 | − | 2.60711e8i | −0.468773 | − | 0.319604i | ||||
\(170\) | −1.94069e8 | − | 9.34585e7i | −0.232359 | − | 0.111898i | ||||
\(171\) | 5.54549e8i | 0.648568i | ||||||||
\(172\) | −1.46833e9 | + | 3.55891e8i | −1.67768 | + | 0.406634i | ||||
\(173\) | 7.41889e8 | 0.828237 | 0.414118 | − | 0.910223i | \(-0.364090\pi\) | ||||
0.414118 | + | 0.910223i | \(0.364090\pi\) | |||||||
\(174\) | 5.45002e7 | − | 1.13171e8i | 0.0594568 | − | 0.123463i | ||||
\(175\) | 1.91162e8 | − | 2.80383e8i | 0.203821 | − | 0.298951i | ||||
\(176\) | 2.23113e8 | + | 2.79775e8i | 0.232528 | + | 0.291581i | ||||
\(177\) | −7.14699e8 | − | 7.70263e8i | −0.728166 | − | 0.784776i | ||||
\(178\) | −3.78760e8 | − | 6.56031e8i | −0.377297 | − | 0.653498i | ||||
\(179\) | 9.24827e8 | + | 5.33949e8i | 0.900841 | + | 0.520101i | 0.877473 | − | 0.479626i | \(-0.159228\pi\) |
0.0233683 | + | 0.999727i | \(0.492561\pi\) | |||||||
\(180\) | 3.60018e8 | − | 8.21717e7i | 0.342953 | − | 0.0782767i | ||||
\(181\) | −3.11966e8 | − | 7.94876e8i | −0.290665 | − | 0.740602i | −0.999383 | − | 0.0351108i | \(-0.988822\pi\) |
0.708718 | − | 0.705491i | \(-0.249274\pi\) | |||||||
\(182\) | −4.45094e8 | + | 1.37293e8i | −0.405663 | + | 0.125131i | ||||
\(183\) | 3.66641e8 | − | 4.59753e8i | 0.326916 | − | 0.409940i | ||||
\(184\) | −3.58460e8 | + | 2.68629e7i | −0.312730 | + | 0.0234359i | ||||
\(185\) | −1.40258e8 | − | 4.32639e7i | −0.119741 | − | 0.0369351i | ||||
\(186\) | 1.28692e9 | − | 8.77406e8i | 1.07522 | − | 0.733076i | ||||
\(187\) | −1.01811e9 | + | 1.53456e8i | −0.832586 | + | 0.125492i | ||||
\(188\) | 1.25427e8 | − | 5.49531e8i | 0.100406 | − | 0.439907i | ||||
\(189\) | −1.22147e8 | − | 1.13336e8i | −0.0957275 | − | 0.0888221i | ||||
\(190\) | −5.07863e8 | − | 3.80591e7i | −0.389702 | − | 0.0292041i | ||||
\(191\) | −1.67052e8 | − | 6.55630e7i | −0.125521 | − | 0.0492635i | 0.301749 | − | 0.953387i | \(-0.402430\pi\) |
−0.427270 | + | 0.904124i | \(0.640525\pi\) | |||||||
\(192\) | 4.12837e8 | − | 2.73900e9i | 0.303790 | − | 2.01552i | ||||
\(193\) | 1.84918e9 | − | 8.90520e8i | 1.33276 | − | 0.641822i | 0.374366 | − | 0.927281i | \(-0.377860\pi\) |
0.958391 | + | 0.285459i | \(0.0921461\pi\) | |||||||
\(194\) | 1.99681e9 | + | 4.14642e9i | 1.40971 | + | 2.92730i | ||||
\(195\) | 3.38990e8 | + | 5.10946e7i | 0.234449 | + | 0.0353375i | ||||
\(196\) | −7.88526e8 | + | 2.00913e9i | −0.534308 | + | 1.36140i | ||||
\(197\) | −1.73988e8 | + | 2.32171e9i | −0.115519 | + | 1.54150i | 0.574980 | + | 0.818167i | \(0.305010\pi\) |
−0.690500 | + | 0.723333i | \(0.742609\pi\) | |||||||
\(198\) | 1.89610e9 | − | 2.04351e9i | 1.23367 | − | 1.32958i | ||||
\(199\) | 3.04835e9 | + | 6.95767e8i | 1.94381 | + | 0.443661i | 0.989418 | + | 0.145095i | \(0.0463488\pi\) |
0.954389 | + | 0.298566i | \(0.0965083\pi\) | |||||||
\(200\) | −2.64692e8 | − | 1.75612e9i | −0.165433 | − | 1.09757i | ||||
\(201\) | 8.50149e8 | + | 1.24694e9i | 0.520847 | + | 0.763943i | ||||
\(202\) | 5.64113e8 | − | 1.82881e9i | 0.338814 | − | 1.09841i | ||||
\(203\) | 3.11458e6 | + | 4.15612e7i | 0.00183407 | + | 0.0244739i | ||||
\(204\) | −1.76971e9 | − | 1.41129e9i | −1.02183 | − | 0.814886i | ||||
\(205\) | −4.78632e7 | − | 1.55169e8i | −0.0271010 | − | 0.0878594i | ||||
\(206\) | 1.61456e9 | − | 6.33668e8i | 0.896572 | − | 0.351878i | ||||
\(207\) | 7.98435e7 | + | 3.49817e8i | 0.0434869 | + | 0.190528i | ||||
\(208\) | −1.56174e8 | + | 2.70502e8i | −0.0834365 | + | 0.144516i | ||||
\(209\) | −2.10825e9 | + | 1.21720e9i | −1.10493 | + | 0.637934i | ||||
\(210\) | −3.31674e8 | + | 3.07749e8i | −0.170543 | + | 0.158241i | ||||
\(211\) | 1.26546e9 | − | 1.00917e9i | 0.638436 | − | 0.509136i | −0.249935 | − | 0.968263i | \(-0.580409\pi\) |
0.888371 | + | 0.459127i | \(0.151838\pi\) | |||||||
\(212\) | −4.58172e9 | − | 3.12376e9i | −2.26822 | − | 1.54645i | ||||
\(213\) | −3.18078e9 | − | 1.53178e9i | −1.54531 | − | 0.744181i | ||||
\(214\) | 3.96777e9i | 1.89187i | ||||||||
\(215\) | −5.54452e8 | + | 1.79193e8i | −0.259484 | + | 0.0838622i | ||||
\(216\) | −8.72037e8 | −0.400608 | ||||||||
\(217\) | −2.24232e8 | + | 4.65623e8i | −0.101125 | + | 0.209988i | ||||
\(218\) | 3.86976e9 | − | 5.67589e9i | 1.71340 | − | 2.51309i | ||||
\(219\) | −4.19295e8 | − | 5.25780e8i | −0.182282 | − | 0.228574i | ||||
\(220\) | 1.10261e9 | + | 1.18833e9i | 0.470686 | + | 0.507278i | ||||
\(221\) | −4.49352e8 | − | 7.78301e8i | −0.188373 | − | 0.326271i | ||||
\(222\) | −2.10960e9 | − | 1.21798e9i | −0.868535 | − | 0.501449i | ||||
\(223\) | −2.94431e9 | + | 6.72019e8i | −1.19059 | + | 0.271745i | −0.771519 | − | 0.636206i | \(-0.780503\pi\) |
−0.419075 | + | 0.907952i | \(0.637646\pi\) | |||||||
\(224\) | 2.80530e8 | + | 7.14779e8i | 0.111426 | + | 0.283909i | ||||
\(225\) | −1.69398e9 | + | 5.22523e8i | −0.660963 | + | 0.203880i | ||||
\(226\) | 2.99559e9 | − | 3.75635e9i | 1.14828 | − | 1.43990i | ||||
\(227\) | −3.82665e9 | + | 2.86768e8i | −1.44117 | + | 0.108001i | −0.772243 | − | 0.635327i | \(-0.780865\pi\) |
−0.668927 | + | 0.743328i | \(0.733246\pi\) | |||||||
\(228\) | −5.11410e9 | − | 1.57749e9i | −1.89247 | − | 0.583751i | ||||
\(229\) | −4.22626e9 | + | 2.88142e9i | −1.53679 | + | 1.04777i | −0.561330 | + | 0.827592i | \(0.689710\pi\) |
−0.975461 | + | 0.220174i | \(0.929338\pi\) | |||||||
\(230\) | −3.25847e8 | + | 4.91135e7i | −0.116440 | + | 0.0175505i | ||||
\(231\) | −4.81256e8 | + | 2.10852e9i | −0.169016 | + | 0.740508i | ||||
\(232\) | 1.59891e8 | + | 1.48357e8i | 0.0551915 | + | 0.0512103i | ||||
\(233\) | 8.56503e8 | + | 6.41860e7i | 0.290606 | + | 0.0217779i | 0.219236 | − | 0.975672i | \(-0.429644\pi\) |
0.0713706 | + | 0.997450i | \(0.477263\pi\) | |||||||
\(234\) | 2.26504e9 | + | 8.88962e8i | 0.755461 | + | 0.296497i | ||||
\(235\) | 3.24002e7 | − | 2.14961e8i | 0.0106237 | − | 0.0704837i | ||||
\(236\) | 3.90746e9 | − | 1.88173e9i | 1.25964 | − | 0.606611i | ||||
\(237\) | 2.20217e9 | + | 4.57286e9i | 0.698004 | + | 1.44942i | ||||
\(238\) | 1.17287e9 | + | 1.76782e8i | 0.365547 | + | 0.0550973i | ||||
\(239\) | 6.93353e8 | − | 1.76663e9i | 0.212502 | − | 0.541446i | −0.784387 | − | 0.620272i | \(-0.787022\pi\) |
0.996888 | + | 0.0788266i | \(0.0251173\pi\) | |||||||
\(240\) | −2.26738e7 | + | 3.02561e8i | −0.00683407 | + | 0.0911943i | ||||
\(241\) | 3.57711e9 | − | 3.85521e9i | 1.06039 | − | 1.14282i | 0.0710059 | − | 0.997476i | \(-0.477379\pi\) |
0.989380 | − | 0.145349i | \(-0.0464304\pi\) | |||||||
\(242\) | 6.40967e9 | + | 1.46297e9i | 1.86885 | + | 0.426553i | ||||
\(243\) | 6.43054e8 | + | 4.26638e9i | 0.184426 | + | 1.22359i | ||||
\(244\) | 1.36725e9 | + | 2.00538e9i | 0.385734 | + | 0.565768i | ||||
\(245\) | −2.45356e8 | + | 7.95426e8i | −0.0680978 | + | 0.220768i | ||||
\(246\) | −2.01391e8 | − | 2.68738e9i | −0.0549920 | − | 0.733817i | ||||
\(247\) | −1.66130e9 | − | 1.32484e9i | −0.446334 | − | 0.355939i | ||||
\(248\) | 7.97208e8 | + | 2.58448e9i | 0.210749 | + | 0.683230i | ||||
\(249\) | −4.79272e9 | + | 1.88100e9i | −1.24676 | + | 0.489319i | ||||
\(250\) | −7.53653e8 | − | 3.30197e9i | −0.192935 | − | 0.845304i | ||||
\(251\) | 2.41509e9 | − | 4.18306e9i | 0.608469 | − | 1.05390i | −0.383024 | − | 0.923738i | \(-0.625117\pi\) |
0.991493 | − | 0.130160i | \(-0.0415492\pi\) | |||||||
\(252\) | −1.76103e9 | + | 1.01673e9i | −0.436680 | + | 0.252117i | ||||
\(253\) | −1.15466e9 | + | 1.07137e9i | −0.281820 | + | 0.261491i | ||||
\(254\) | 2.71013e9 | − | 2.16126e9i | 0.651111 | − | 0.519244i | ||||
\(255\) | −7.21293e8 | − | 4.91770e8i | −0.170589 | − | 0.116306i | ||||
\(256\) | 5.31528e9 | + | 2.55970e9i | 1.23756 | + | 0.595978i | ||||
\(257\) | − | 9.38956e8i | − | 0.215235i | −0.994192 | − | 0.107617i | \(-0.965678\pi\) | ||
0.994192 | − | 0.107617i | \(-0.0343222\pi\) | |||||||
\(258\) | −9.63274e9 | + | 8.51754e8i | −2.17406 | + | 0.192236i | ||||
\(259\) | 8.08254e8 | 0.179617 | ||||||||
\(260\) | −6.13930e8 | + | 1.27484e9i | −0.134346 | + | 0.278973i | ||||
\(261\) | 1.22647e8 | − | 1.79890e8i | 0.0264298 | − | 0.0387654i | ||||
\(262\) | 7.75292e9 | + | 9.72185e9i | 1.64536 | + | 2.06321i | ||||
\(263\) | −2.68296e9 | − | 2.89154e9i | −0.560778 | − | 0.604374i | 0.387479 | − | 0.921878i | \(-0.373346\pi\) |
−0.948257 | + | 0.317504i | \(0.897155\pi\) | |||||||
\(264\) | 5.65928e9 | + | 9.80215e9i | 1.16505 | + | 2.01793i | ||||
\(265\) | −1.85213e9 | − | 1.06933e9i | −0.375568 | − | 0.216834i | ||||
\(266\) | 2.73413e9 | − | 6.24047e8i | 0.546125 | − | 0.124649i | ||||
\(267\) | −1.12164e9 | − | 2.85789e9i | −0.220703 | − | 0.562342i | ||||
\(268\) | −5.95229e9 | + | 1.83604e9i | −1.15384 | + | 0.355912i | ||||
\(269\) | 6.41968e8 | − | 8.05002e8i | 0.122604 | − | 0.153740i | −0.716741 | − | 0.697339i | \(-0.754367\pi\) |
0.839345 | + | 0.543599i | \(0.182939\pi\) | |||||||
\(270\) | −7.97174e8 | + | 5.97399e7i | −0.150002 | + | 0.0112411i | ||||
\(271\) | −3.85942e9 | − | 1.19047e9i | −0.715559 | − | 0.220721i | −0.0844643 | − | 0.996427i | \(-0.526918\pi\) |
−0.631095 | + | 0.775706i | \(0.717394\pi\) | |||||||
\(272\) | 6.57183e8 | − | 4.48060e8i | 0.120063 | − | 0.0818579i | ||||
\(273\) | −1.86668e9 | + | 2.81357e8i | −0.336062 | + | 0.0506533i | ||||
\(274\) | −1.39709e9 | + | 6.12105e9i | −0.247869 | + | 1.08598i | ||||
\(275\) | −5.70465e9 | − | 5.29314e9i | −0.997467 | − | 0.925514i | ||||
\(276\) | −3.45317e9 | − | 2.58779e8i | −0.595089 | − | 0.0445957i | ||||
\(277\) | 5.44668e9 | + | 2.13766e9i | 0.925151 | + | 0.363095i | 0.779616 | − | 0.626258i | \(-0.215414\pi\) |
0.145535 | + | 0.989353i | \(0.453510\pi\) | |||||||
\(278\) | 1.29957e9 | − | 8.62207e9i | 0.217580 | − | 1.44355i | ||||
\(279\) | 2.43238e9 | − | 1.17137e9i | 0.401434 | − | 0.193321i | ||||
\(280\) | −3.40891e8 | − | 7.07867e8i | −0.0554604 | − | 0.115165i | ||||
\(281\) | 4.95529e9 | + | 7.46890e8i | 0.794774 | + | 0.119793i | 0.533864 | − | 0.845570i | \(-0.320739\pi\) |
0.260910 | + | 0.965363i | \(0.415977\pi\) | |||||||
\(282\) | 1.31808e9 | − | 3.35841e9i | 0.208422 | − | 0.531052i | ||||
\(283\) | −4.34514e7 | + | 5.79819e8i | −0.00677421 | + | 0.0903955i | −0.999566 | − | 0.0294555i | \(-0.990623\pi\) |
0.992792 | + | 0.119851i | \(0.0382417\pi\) | |||||||
\(284\) | 9.91113e9 | − | 1.06817e10i | 1.52353 | − | 1.64197i | ||||
\(285\) | −2.01232e9 | − | 4.59298e8i | −0.305012 | − | 0.0696170i | ||||
\(286\) | 1.59201e9 | + | 1.05623e10i | 0.237947 | + | 1.57868i | ||||
\(287\) | 5.03708e8 | + | 7.38804e8i | 0.0742422 | + | 0.108893i | ||||
\(288\) | 1.18233e9 | − | 3.83303e9i | 0.171858 | − | 0.557150i | ||||
\(289\) | −3.50276e8 | − | 4.67411e9i | −0.0502134 | − | 0.670051i | ||||
\(290\) | 1.56328e8 | + | 1.24667e8i | 0.0221027 | + | 0.0176263i | ||||
\(291\) | 5.49777e9 | + | 1.78233e10i | 0.766680 | + | 2.48552i | ||||
\(292\) | 2.58382e9 | − | 1.01407e9i | 0.355411 | − | 0.139488i | ||||
\(293\) | 7.53325e8 | + | 3.30053e9i | 0.102214 | + | 0.447830i | 0.999973 | + | 0.00734278i | \(0.00233730\pi\) |
−0.897759 | + | 0.440488i | \(0.854806\pi\) | |||||||
\(294\) | −6.90733e9 | + | 1.19638e10i | −0.924530 | + | 1.60133i | ||||
\(295\) | 1.44855e9 | − | 8.36321e8i | 0.191269 | − | 0.110429i | ||||
\(296\) | 3.10076e9 | − | 2.87708e9i | 0.403926 | − | 0.374788i | ||||
\(297\) | −2.98752e9 | + | 2.38247e9i | −0.383959 | + | 0.306197i | ||||
\(298\) | 1.48490e10 | + | 1.01239e10i | 1.88293 | + | 1.28376i | ||||
\(299\) | −1.23872e9 | − | 5.96536e8i | −0.154984 | − | 0.0746366i | ||||
\(300\) | − | 1.71084e10i | − | 2.11215i | ||||||
\(301\) | 2.62665e9 | − | 1.84283e9i | 0.319990 | − | 0.224502i | ||||
\(302\) | −2.36282e10 | −2.84056 | ||||||||
\(303\) | 3.36542e9 | − | 6.98837e9i | 0.399272 | − | 0.829096i | ||||
\(304\) | 1.05938e9 | − | 1.55383e9i | 0.124039 | − | 0.181932i | ||||
\(305\) | 5.83632e8 | + | 7.31852e8i | 0.0674435 | + | 0.0845715i | ||||
\(306\) | −4.21449e9 | − | 4.54214e9i | −0.480684 | − | 0.518054i | ||||
\(307\) | 5.04524e9 | + | 8.73861e9i | 0.567974 | + | 0.983759i | 0.996766 | + | 0.0803564i | \(0.0256059\pi\) |
−0.428792 | + | 0.903403i | \(0.641061\pi\) | |||||||
\(308\) | −7.73066e9 | − | 4.46330e9i | −0.859040 | − | 0.495967i | ||||
\(309\) | 6.85325e9 | − | 1.56421e9i | 0.751731 | − | 0.171578i | ||||
\(310\) | 9.05821e8 | + | 2.30800e9i | 0.0980835 | + | 0.249913i | ||||
\(311\) | 6.91591e9 | − | 2.13328e9i | 0.739278 | − | 0.228037i | 0.0978295 | − | 0.995203i | \(-0.468810\pi\) |
0.641448 | + | 0.767166i | \(0.278334\pi\) | |||||||
\(312\) | −6.15976e9 | + | 7.72409e9i | −0.650048 | + | 0.815134i | ||||
\(313\) | −6.99534e9 | + | 5.24228e8i | −0.728838 | + | 0.0546189i | −0.433981 | − | 0.900922i | \(-0.642891\pi\) |
−0.294858 | + | 0.955541i | \(0.595272\pi\) | |||||||
\(314\) | 2.09313e9 | + | 6.45645e8i | 0.215317 | + | 0.0664164i | ||||
\(315\) | −6.47976e8 | + | 4.41782e8i | −0.0658137 | + | 0.0448710i | ||||
\(316\) | −2.07148e10 | + | 3.12225e9i | −2.07746 | + | 0.313126i | ||||
\(317\) | −7.72327e8 | + | 3.38379e9i | −0.0764829 | + | 0.335093i | −0.998665 | − | 0.0516637i | \(-0.983548\pi\) |
0.922182 | + | 0.386757i | \(0.126405\pi\) | |||||||
\(318\) | −2.60184e10 | − | 2.41415e10i | −2.54432 | − | 2.36078i | ||||
\(319\) | 9.53095e8 | + | 7.14246e7i | 0.0920393 | + | 0.00689739i | ||||
\(320\) | 4.10449e9 | + | 1.61089e9i | 0.391435 | + | 0.153627i | ||||
\(321\) | −2.39672e9 | + | 1.59012e10i | −0.225734 | + | 1.49765i | ||||
\(322\) | 1.63487e9 | − | 7.87314e8i | 0.152076 | − | 0.0732360i | ||||
\(323\) | 2.34774e9 | + | 4.87512e9i | 0.215694 | + | 0.447894i | ||||
\(324\) | −2.23634e10 | − | 3.37074e9i | −2.02935 | − | 0.305876i | ||||
\(325\) | 2.48163e9 | − | 6.32308e9i | 0.222435 | − | 0.566755i | ||||
\(326\) | −2.02390e9 | + | 2.70071e10i | −0.179192 | + | 2.39116i | ||||
\(327\) | 1.89369e10 | − | 2.04091e10i | 1.65622 | − | 1.78498i | ||||
\(328\) | 4.56228e9 | + | 1.04131e9i | 0.394172 | + | 0.0899673i | ||||
\(329\) | 1.78415e8 | + | 1.18370e9i | 0.0152282 | + | 0.101032i | ||||
\(330\) | 5.84494e9 | + | 8.57295e9i | 0.492861 | + | 0.722894i | ||||
\(331\) | 1.54523e9 | − | 5.00951e9i | 0.128730 | − | 0.417333i | −0.868146 | − | 0.496308i | \(-0.834689\pi\) |
0.996877 | + | 0.0789750i | \(0.0251647\pi\) | |||||||
\(332\) | −1.58806e9 | − | 2.11912e10i | −0.130712 | − | 1.74423i | ||||
\(333\) | −3.30110e9 | − | 2.63254e9i | −0.268461 | − | 0.214090i | ||||
\(334\) | −2.16696e9 | − | 7.02511e9i | −0.174126 | − | 0.564504i | ||||
\(335\) | −2.23630e9 | + | 8.77681e8i | −0.177562 | + | 0.0696879i | ||||
\(336\) | −3.71778e8 | − | 1.62886e9i | −0.0291693 | − | 0.127799i | ||||
\(337\) | −2.52520e9 | + | 4.37378e9i | −0.195784 | + | 0.339107i | −0.947157 | − | 0.320770i | \(-0.896058\pi\) |
0.751373 | + | 0.659877i | \(0.229392\pi\) | |||||||
\(338\) | 1.05886e10 | − | 6.11332e9i | 0.811280 | − | 0.468393i | ||||
\(339\) | 1.42741e10 | − | 1.32444e10i | 1.08081 | − | 1.00285i | ||||
\(340\) | 2.81709e9 | − | 2.24655e9i | 0.210807 | − | 0.168113i | ||||
\(341\) | 9.79215e9 | + | 6.67617e9i | 0.724203 | + | 0.493753i | ||||
\(342\) | −1.31994e10 | − | 6.35648e9i | −0.964825 | − | 0.464635i | ||||
\(343\) | − | 9.99415e9i | − | 0.722054i | ||||||
\(344\) | 3.51701e9 | − | 1.64197e10i | 0.251154 | − | 1.17255i | ||||
\(345\) | −1.33553e9 | −0.0942705 | ||||||||
\(346\) | −8.50385e9 | + | 1.76584e10i | −0.593350 | + | 1.23210i | ||||
\(347\) | −7.92968e9 | + | 1.16307e10i | −0.546938 | + | 0.802210i | −0.995816 | − | 0.0913828i | \(-0.970871\pi\) |
0.448878 | + | 0.893593i | \(0.351824\pi\) | |||||||
\(348\) | 1.31007e9 | + | 1.64278e9i | 0.0893262 | + | 0.112012i | ||||
\(349\) | −1.41193e10 | − | 1.52170e10i | −0.951726 | − | 1.02572i | −0.999639 | − | 0.0268657i | \(-0.991447\pi\) |
0.0479126 | − | 0.998852i | \(-0.484743\pi\) | |||||||
\(350\) | 4.48249e9 | + | 7.76391e9i | 0.298708 | + | 0.517378i | ||||
\(351\) | −2.88849e9 | − | 1.66767e9i | −0.190302 | − | 0.109871i | ||||
\(352\) | 1.71673e10 | − | 3.91832e9i | 1.11823 | − | 0.255229i | ||||
\(353\) | −5.99100e9 | − | 1.52648e10i | −0.385834 | − | 0.983089i | −0.983429 | − | 0.181291i | \(-0.941972\pi\) |
0.597596 | − | 0.801798i | \(-0.296123\pi\) | |||||||
\(354\) | 2.65260e10 | − | 8.18217e9i | 1.68911 | − | 0.521022i | ||||
\(355\) | 3.50390e9 | − | 4.39375e9i | 0.220617 | − | 0.276645i | ||||
\(356\) | 1.26363e10 | − | 9.46959e8i | 0.786719 | − | 0.0589564i | ||||
\(357\) | 4.59360e9 | + | 1.41694e9i | 0.282801 | + | 0.0872325i | ||||
\(358\) | −2.33098e10 | + | 1.58924e10i | −1.41908 | + | 0.967512i | ||||
\(359\) | −2.42532e9 | + | 3.65557e8i | −0.146013 | + | 0.0220079i | −0.221642 | − | 0.975128i | \(-0.571142\pi\) |
0.0756292 | + | 0.997136i | \(0.475903\pi\) | |||||||
\(360\) | −9.13292e8 | + | 4.00139e9i | −0.0543751 | + | 0.238233i | ||||
\(361\) | −3.07145e9 | − | 2.84989e9i | −0.180849 | − | 0.167803i | ||||
\(362\) | 2.24955e10 | + | 1.68580e9i | 1.30997 | + | 0.0981687i | ||||
\(363\) | 2.48036e10 | + | 9.73470e9i | 1.42853 | + | 0.560656i | ||||
\(364\) | 1.16128e9 | − | 7.70462e9i | 0.0661505 | − | 0.438880i | ||||
\(365\) | 9.64493e8 | − | 4.64475e8i | 0.0543410 | − | 0.0261693i | ||||
\(366\) | 6.74043e9 | + | 1.39967e10i | 0.375633 | + | 0.780009i | ||||
\(367\) | −2.08574e10 | − | 3.14375e9i | −1.14973 | − | 0.173294i | −0.453598 | − | 0.891207i | \(-0.649860\pi\) |
−0.696133 | + | 0.717913i | \(0.745098\pi\) | |||||||
\(368\) | 4.44555e8 | − | 1.13271e9i | 0.0242401 | − | 0.0617627i | ||||
\(369\) | 3.49073e8 | − | 4.65805e9i | 0.0188283 | − | 0.251246i | ||||
\(370\) | 2.63747e9 | − | 2.84251e9i | 0.140728 | − | 0.151668i | ||||
\(371\) | 1.14815e10 | + | 2.62057e9i | 0.606040 | + | 0.138325i | ||||
\(372\) | 3.88326e9 | + | 2.57637e10i | 0.202780 | + | 1.34536i | ||||
\(373\) | −1.16299e10 | − | 1.70579e10i | −0.600814 | − | 0.881232i | 0.398541 | − | 0.917150i | \(-0.369517\pi\) |
−0.999355 | + | 0.0359189i | \(0.988564\pi\) | |||||||
\(374\) | 8.01749e9 | − | 2.59921e10i | 0.409781 | − | 1.32848i | ||||
\(375\) | −1.02579e9 | − | 1.36882e10i | −0.0518719 | − | 0.692182i | ||||
\(376\) | 4.89802e9 | + | 3.90604e9i | 0.245058 | + | 0.195427i | ||||
\(377\) | 2.45899e8 | + | 7.97185e8i | 0.0121728 | + | 0.0394633i | ||||
\(378\) | 4.09773e9 | − | 1.60824e9i | 0.200713 | − | 0.0787741i | ||||
\(379\) | 2.10702e8 | + | 9.23146e8i | 0.0102120 | + | 0.0447418i | 0.979777 | − | 0.200091i | \(-0.0641239\pi\) |
−0.969565 | + | 0.244833i | \(0.921267\pi\) | |||||||
\(380\) | 4.25965e9 | − | 7.37794e9i | 0.204287 | − | 0.353835i | ||||
\(381\) | 1.21666e10 | − | 7.02438e9i | 0.577389 | − | 0.333356i | ||||
\(382\) | 3.47535e9 | − | 3.22465e9i | 0.163209 | − | 0.151436i | ||||
\(383\) | 1.91864e10 | − | 1.53006e10i | 0.891656 | − | 0.711072i | −0.0663572 | − | 0.997796i | \(-0.521138\pi\) |
0.958013 | + | 0.286724i | \(0.0925663\pi\) | |||||||
\(384\) | 4.19327e10 | + | 2.85892e10i | 1.92854 | + | 1.31485i | ||||
\(385\) | −3.10180e9 | − | 1.49375e9i | −0.141179 | − | 0.0679883i | ||||
\(386\) | 5.42217e10i | 2.44244i | ||||||||
\(387\) | −1.67301e10 | − | 1.02862e9i | −0.745855 | − | 0.0458578i | ||||
\(388\) | −7.69849e10 | −3.39687 | ||||||||
\(389\) | −1.53556e10 | + | 3.18862e10i | −0.670607 | + | 1.39253i | 0.236500 | + | 0.971631i | \(0.424000\pi\) |
−0.907108 | + | 0.420899i | \(0.861715\pi\) | |||||||
\(390\) | −5.10180e9 | + | 7.48297e9i | −0.220529 | + | 0.323456i | ||||
\(391\) | 2.18290e9 | + | 2.73727e9i | 0.0933956 | + | 0.117114i | ||||
\(392\) | −1.63164e10 | − | 1.75849e10i | −0.691003 | − | 0.744724i | ||||
\(393\) | 2.51980e10 | + | 4.36443e10i | 1.05632 | + | 1.82960i | ||||
\(394\) | −5.32670e10 | − | 3.07537e10i | −2.21041 | − | 1.27618i | ||||
\(395\) | −7.87679e9 | + | 1.79783e9i | −0.323564 | + | 0.0738515i | ||||
\(396\) | 1.70365e10 | + | 4.34084e10i | 0.692788 | + | 1.76520i | ||||
\(397\) | 1.41814e10 | − | 4.37437e9i | 0.570895 | − | 0.176098i | 0.00415030 | − | 0.999991i | \(-0.498679\pi\) |
0.566744 | + | 0.823894i | \(0.308203\pi\) | |||||||
\(398\) | −5.15022e10 | + | 6.45817e10i | −2.05255 | + | 2.57381i | ||||
\(399\) | 1.13342e10 | − | 8.49381e8i | 0.447198 | − | 0.0335128i | ||||
\(400\) | 5.74468e9 | + | 1.77200e9i | 0.224401 | + | 0.0692187i | ||||
\(401\) | −3.00113e10 | + | 2.04614e10i | −1.16067 | + | 0.791329i | −0.981306 | − | 0.192455i | \(-0.938355\pi\) |
−0.179360 | + | 0.983784i | \(0.557403\pi\) | |||||||
\(402\) | −3.94244e10 | + | 5.94227e9i | −1.50960 | + | 0.227535i | ||||
\(403\) | −2.30190e9 | + | 1.00853e10i | −0.0872703 | + | 0.382356i | ||||
\(404\) | 2.34683e10 | + | 2.17754e10i | 0.880959 | + | 0.817411i | ||||
\(405\) | −8.69797e9 | − | 6.51823e8i | −0.323294 | − | 0.0242276i | ||||
\(406\) | −1.02494e9 | − | 4.02259e8i | −0.0377219 | − | 0.0148048i | ||||
\(407\) | 2.76252e9 | − | 1.83281e10i | 0.100676 | − | 0.667944i | ||||
\(408\) | 2.26665e10 | − | 1.09156e10i | 0.817984 | − | 0.393920i | ||||
\(409\) | −1.29480e10 | − | 2.68867e10i | −0.462709 | − | 0.960826i | −0.993554 | − | 0.113357i | \(-0.963840\pi\) |
0.530845 | − | 0.847469i | \(-0.321875\pi\) | |||||||
\(410\) | 4.24195e9 | + | 6.39371e8i | 0.150117 | + | 0.0226265i | ||||
\(411\) | −9.29636e9 | + | 2.36867e10i | −0.325796 | + | 0.830114i | ||||
\(412\) | −2.16820e9 | + | 2.89327e10i | −0.0752509 | + | 1.00415i | ||||
\(413\) | −6.26478e9 | + | 6.75182e9i | −0.215330 | + | 0.232071i | ||||
\(414\) | −9.24154e9 | − | 2.10932e9i | −0.314589 | − | 0.0718028i | ||||
\(415\) | −1.22152e9 | − | 8.10423e9i | −0.0411819 | − | 0.273224i | ||||
\(416\) | 8.65820e9 | + | 1.26993e10i | 0.289104 | + | 0.424038i | ||||
\(417\) | 1.04163e10 | − | 3.37687e10i | 0.344483 | − | 1.11679i | ||||
\(418\) | −4.80607e9 | − | 6.41325e10i | −0.157429 | − | 2.10074i | ||||
\(419\) | −9.74669e9 | − | 7.77272e9i | −0.316228 | − | 0.252184i | 0.452492 | − | 0.891768i | \(-0.350535\pi\) |
−0.768721 | + | 0.639584i | \(0.779106\pi\) | |||||||
\(420\) | −2.23090e9 | − | 7.23240e9i | −0.0716940 | − | 0.232426i | ||||
\(421\) | −1.03876e10 | + | 4.07682e9i | −0.330663 | + | 0.129776i | −0.524864 | − | 0.851186i | \(-0.675884\pi\) |
0.194201 | + | 0.980962i | \(0.437789\pi\) | |||||||
\(422\) | 9.51499e9 | + | 4.16879e10i | 0.300026 | + | 1.31450i | ||||
\(423\) | 3.12672e9 | − | 5.41563e9i | 0.0976623 | − | 0.169156i | ||||
\(424\) | 5.33754e10 | − | 3.08163e10i | 1.65150 | − | 0.953492i | ||||
\(425\) | −1.26798e10 | + | 1.17652e10i | −0.388650 | + | 0.360614i | ||||
\(426\) | 7.29189e10 | − | 5.81508e10i | 2.21412 | − | 1.76570i | ||||
\(427\) | −4.25892e9 | − | 2.90368e9i | −0.128111 | − | 0.0873448i | ||||
\(428\) | −5.97995e10 | − | 2.87979e10i | −1.78206 | − | 0.858195i | ||||
\(429\) | 4.32909e10i | 1.27811i | ||||||||
\(430\) | 2.09022e9 | − | 1.52510e10i | 0.0611391 | − | 0.446093i | ||||
\(431\) | 5.23822e10 | 1.51801 | 0.759004 | − | 0.651086i | \(-0.225686\pi\) | ||||
0.759004 | + | 0.651086i | \(0.225686\pi\) | |||||||
\(432\) | 1.28079e9 | − | 2.65959e9i | 0.0367742 | − | 0.0763623i | ||||
\(433\) | 2.33751e10 | − | 3.42850e10i | 0.664969 | − | 0.975331i | −0.334488 | − | 0.942400i | \(-0.608563\pi\) |
0.999458 | − | 0.0329311i | \(-0.0104842\pi\) | |||||||
\(434\) | −8.51250e9 | − | 1.06743e10i | −0.239937 | − | 0.300872i | ||||
\(435\) | 5.51193e8 | + | 5.94045e8i | 0.0153938 | + | 0.0165906i | ||||
\(436\) | 5.74567e10 | + | 9.95178e10i | 1.58999 | + | 2.75394i | ||||
\(437\) | 7.16889e9 | + | 4.13896e9i | 0.196574 | + | 0.113492i | ||||
\(438\) | 1.73207e10 | − | 3.95334e9i | 0.470619 | − | 0.107416i | ||||
\(439\) | −4.22719e9 | − | 1.07707e10i | −0.113813 | − | 0.289992i | 0.862605 | − | 0.505878i | \(-0.168831\pi\) |
−0.976419 | + | 0.215886i | \(0.930736\pi\) | |||||||
\(440\) | −1.72168e10 | + | 5.31069e9i | −0.459349 | + | 0.141690i | ||||
\(441\) | −1.49295e10 | + | 1.87210e10i | −0.394722 | + | 0.494966i | ||||
\(442\) | 2.36758e10 | − | 1.77425e9i | 0.620319 | − | 0.0464865i | ||||
\(443\) | 4.41262e10 | + | 1.36111e10i | 1.14573 | + | 0.353411i | 0.808779 | − | 0.588112i | \(-0.200129\pi\) |
0.336950 | + | 0.941523i | \(0.390605\pi\) | |||||||
\(444\) | 3.36679e10 | − | 2.29544e10i | 0.866331 | − | 0.590655i | ||||
\(445\) | 4.83254e9 | − | 7.28389e8i | 0.123235 | − | 0.0185748i | ||||
\(446\) | 1.77535e10 | − | 7.77833e10i | 0.448689 | − | 1.96583i | ||||
\(447\) | 5.33935e10 | + | 4.95419e10i | 1.33739 | + | 1.24092i | ||||
\(448\) | −2.42123e10 | − | 1.81446e9i | −0.601068 | − | 0.0450438i | ||||
\(449\) | −4.78073e10 | − | 1.87630e10i | −1.17627 | − | 0.461654i | −0.304953 | − | 0.952367i | \(-0.598641\pi\) |
−0.871321 | + | 0.490714i | \(0.836736\pi\) | |||||||
\(450\) | 6.98001e9 | − | 4.63094e10i | 0.170218 | − | 1.12932i | ||||
\(451\) | 1.84749e10 | − | 8.89703e9i | 0.446555 | − | 0.215050i | ||||
\(452\) | 3.48713e10 | + | 7.24110e10i | 0.835438 | + | 1.73480i | ||||
\(453\) | −9.46922e10 | − | 1.42725e10i | −2.24865 | − | 0.338929i | ||||
\(454\) | 3.70371e10 | − | 9.43689e10i | 0.871793 | − | 2.22129i | ||||
\(455\) | 2.24565e8 | − | 2.99662e9i | 0.00523959 | − | 0.0699175i | ||||
\(456\) | 4.04587e10 | − | 4.36041e10i | 0.935735 | − | 1.00848i | ||||
\(457\) | −6.78057e10 | − | 1.54762e10i | −1.55454 | − | 0.354813i | −0.642948 | − | 0.765910i | \(-0.722289\pi\) |
−0.911592 | + | 0.411097i | \(0.865146\pi\) | |||||||
\(458\) | −2.01402e10 | − | 1.33621e11i | −0.457722 | − | 3.03679i | ||||
\(459\) | 4.78451e9 | + | 7.01758e9i | 0.107792 | + | 0.158102i | ||||
\(460\) | 1.62478e9 | − | 5.26740e9i | 0.0362880 | − | 0.117643i | ||||
\(461\) | −6.02605e9 | − | 8.04121e10i | −0.133423 | − | 1.78040i | −0.516110 | − | 0.856522i | \(-0.672621\pi\) |
0.382688 | − | 0.923878i | \(-0.374998\pi\) | |||||||
\(462\) | −4.46706e10 | − | 3.56236e10i | −0.980513 | − | 0.781933i | ||||
\(463\) | −1.35166e9 | − | 4.38196e9i | −0.0294132 | − | 0.0953552i | 0.939676 | − | 0.342066i | \(-0.111127\pi\) |
−0.969089 | + | 0.246710i | \(0.920650\pi\) | |||||||
\(464\) | −6.87306e8 | + | 2.69748e8i | −0.0148278 | + | 0.00581950i | ||||
\(465\) | 2.23602e9 | + | 9.79665e9i | 0.0478260 | + | 0.209539i | ||||
\(466\) | −1.13454e10 | + | 1.96507e10i | −0.240588 | + | 0.416711i | ||||
\(467\) | −4.50842e10 | + | 2.60294e10i | −0.947887 | + | 0.547263i | −0.892424 | − | 0.451198i | \(-0.850997\pi\) |
−0.0554631 | + | 0.998461i | \(0.517664\pi\) | |||||||
\(468\) | −2.98374e10 | + | 2.76851e10i | −0.621982 | + | 0.577115i | ||||
\(469\) | 1.03427e10 | − | 8.24805e9i | 0.213768 | − | 0.170475i | ||||
\(470\) | 4.74511e9 | + | 3.23516e9i | 0.0972423 | + | 0.0662987i | ||||
\(471\) | 7.99840e9 | + | 3.85183e9i | 0.162525 | + | 0.0782678i | ||||
\(472\) | 4.82028e10i | 0.971190i | ||||||||
\(473\) | −3.28108e10 | − | 6.58611e10i | −0.655500 | − | 1.31578i | ||||
\(474\) | −1.34085e11 | −2.65624 | ||||||||
\(475\) | −1.77448e10 | + | 3.68474e10i | −0.348574 | + | 0.723822i | ||||
\(476\) | −1.11770e10 | + | 1.63937e10i | −0.217720 | + | 0.319336i | ||||
\(477\) | −3.83576e10 | − | 4.80989e10i | −0.740931 | − | 0.929098i | ||||
\(478\) | 3.41019e10 | + | 3.67531e10i | 0.653231 | + | 0.704015i | ||||
\(479\) | 2.38580e10 | + | 4.13232e10i | 0.453202 | + | 0.784968i | 0.998583 | − | 0.0532200i | \(-0.0169485\pi\) |
−0.545381 | + | 0.838188i | \(0.683615\pi\) | |||||||
\(480\) | 1.29298e10 | + | 7.46503e9i | 0.243572 | + | 0.140626i | ||||
\(481\) | 1.57729e10 | − | 3.60006e9i | 0.294667 | − | 0.0672558i | ||||
\(482\) | 5.07592e10 | + | 1.29332e11i | 0.940430 | + | 2.39618i | ||||
\(483\) | 7.02748e9 | − | 2.16769e9i | 0.129125 | − | 0.0398298i | ||||
\(484\) | −6.85700e10 | + | 8.59841e10i | −1.24955 | + | 1.56688i | ||||
\(485\) | −2.96079e10 | + | 2.21881e9i | −0.535107 | + | 0.0401007i | ||||
\(486\) | −1.08919e11 | − | 3.35971e10i | −1.95236 | − | 0.602223i | ||||
\(487\) | 6.95483e10 | − | 4.74173e10i | 1.23643 | − | 0.842987i | 0.244489 | − | 0.969652i | \(-0.421380\pi\) |
0.991945 | + | 0.126666i | \(0.0404275\pi\) | |||||||
\(488\) | −2.66748e10 | + | 4.02058e9i | −0.470351 | + | 0.0708940i | ||||
\(489\) | −2.44245e10 | + | 1.07011e11i | −0.427160 | + | 1.87151i | ||||
\(490\) | −1.61203e10 | − | 1.49575e10i | −0.279634 | − | 0.259462i | ||||
\(491\) | 8.65799e10 | + | 6.48827e9i | 1.48967 | + | 0.111636i | 0.794526 | − | 0.607230i | \(-0.207720\pi\) |
0.695149 | + | 0.718866i | \(0.255339\pi\) | |||||||
\(492\) | 4.19640e10 | + | 1.64697e10i | 0.716171 | + | 0.281076i | ||||
\(493\) | 3.16626e8 | − | 2.10067e9i | 0.00535992 | − | 0.0355608i | ||||
\(494\) | 5.05763e10 | − | 2.43563e10i | 0.849258 | − | 0.408981i | ||||
\(495\) | 7.80323e9 | + | 1.62036e10i | 0.129973 | + | 0.269892i | ||||
\(496\) | −9.05319e9 | − | 1.36455e9i | −0.149580 | − | 0.0225456i | ||||
\(497\) | −1.13059e10 | + | 2.88069e10i | −0.185301 | + | 0.472140i | ||||
\(498\) | 1.01646e10 | − | 1.35637e11i | 0.165262 | − | 2.20526i | ||||
\(499\) | −4.51205e10 | + | 4.86283e10i | −0.727732 | + | 0.784309i | −0.983204 | − | 0.182508i | \(-0.941579\pi\) |
0.255472 | + | 0.966816i | \(0.417769\pi\) | |||||||
\(500\) | 5.52350e10 | + | 1.26070e10i | 0.883760 | + | 0.201713i | ||||
\(501\) | −4.44078e9 | − | 2.94627e10i | −0.0704870 | − | 0.467650i | ||||
\(502\) | 7.18822e10 | + | 1.05432e11i | 1.13190 | + | 1.66019i | ||||
\(503\) | −1.68028e10 | + | 5.44735e10i | −0.262489 | + | 0.850968i | 0.724374 | + | 0.689407i | \(0.242129\pi\) |
−0.986863 | + | 0.161561i | \(0.948347\pi\) | |||||||
\(504\) | −1.68895e9 | − | 2.25375e10i | −0.0261755 | − | 0.349288i | ||||
\(505\) | 9.65334e9 | + | 7.69829e9i | 0.148427 | + | 0.118366i | ||||
\(506\) | −1.22655e10 | − | 3.97637e10i | −0.187104 | − | 0.606575i | ||||
\(507\) | 4.61274e10 | − | 1.81037e10i | 0.698115 | − | 0.273990i | ||||
\(508\) | 1.29030e10 | + | 5.65316e10i | 0.193747 | + | 0.848860i | ||||
\(509\) | −2.54249e10 | + | 4.40372e10i | −0.378781 | + | 0.656068i | −0.990885 | − | 0.134709i | \(-0.956990\pi\) |
0.612104 | + | 0.790777i | \(0.290323\pi\) | |||||||
\(510\) | 1.99729e10 | − | 1.15313e10i | 0.295229 | − | 0.170451i | ||||
\(511\) | −4.32123e9 | + | 4.00952e9i | −0.0633759 | + | 0.0588042i | ||||
\(512\) | −2.69804e10 | + | 2.15161e10i | −0.392616 | + | 0.313101i | ||||
\(513\) | 1.65922e10 | + | 1.13124e10i | 0.239572 | + | 0.163337i | ||||
\(514\) | 2.23490e10 | + | 1.07627e10i | 0.320189 | + | 0.154195i | ||||
\(515\) | 1.11898e10i | 0.159072i | ||||||||
\(516\) | 5.70771e10 | − | 1.51360e11i | 0.805124 | − | 2.13507i | ||||
\(517\) | 2.74517e10 | 0.384244 | ||||||||
\(518\) | −9.26455e9 | + | 1.92380e10i | −0.128678 | + | 0.267203i | ||||
\(519\) | −4.47464e10 | + | 6.56309e10i | −0.616721 | + | 0.904564i | ||||
\(520\) | −9.80534e9 | − | 1.22955e10i | −0.134106 | − | 0.168164i | ||||
\(521\) | −5.07399e10 | − | 5.46846e10i | −0.688650 | − | 0.742188i | 0.287857 | − | 0.957673i | \(-0.407057\pi\) |
−0.976507 | + | 0.215485i | \(0.930867\pi\) | |||||||
\(522\) | 2.87590e9 | + | 4.98121e9i | 0.0387340 | + | 0.0670893i | ||||
\(523\) | 1.53159e10 | + | 8.84266e9i | 0.204709 | + | 0.118189i | 0.598850 | − | 0.800861i | \(-0.295625\pi\) |
−0.394141 | + | 0.919050i | \(0.628958\pi\) | |||||||
\(524\) | −2.02792e11 | + | 4.62859e10i | −2.68983 | + | 0.613936i | ||||
\(525\) | 1.32742e10 | + | 3.38222e10i | 0.174732 | + | 0.445209i | ||||
\(526\) | 9.95775e10 | − | 3.07156e10i | 1.30082 | − | 0.401251i | ||||
\(527\) | 1.64243e10 | − | 2.05954e10i | 0.212934 | − | 0.267010i | ||||
\(528\) | −3.82071e10 | + | 2.86323e9i | −0.491596 | + | 0.0368400i | ||||
\(529\) | −6.97137e10 | − | 2.15038e10i | −0.890216 | − | 0.274595i | ||||
\(530\) | 4.66821e10 | − | 3.18273e10i | 0.591625 | − | 0.403363i | ||||
\(531\) | 4.75779e10 | − | 7.17122e9i | 0.598449 | − | 0.0902017i | ||||
\(532\) | −1.04390e10 | + | 4.57362e10i | −0.130320 | + | 0.570971i | ||||
\(533\) | 1.31205e10 | + | 1.21740e10i | 0.162570 | + | 0.150843i | ||||
\(534\) | 8.08802e10 | + | 6.06113e9i | 0.994665 | + | 0.0745399i | ||||
\(535\) | −2.38285e10 | − | 9.35200e9i | −0.290858 | − | 0.114153i | ||||
\(536\) | 1.03185e10 | − | 6.84588e10i | 0.125014 | − | 0.829412i | ||||
\(537\) | −1.03016e11 | + | 4.96098e10i | −1.23882 | + | 0.596582i | ||||
\(538\) | 1.18021e10 | + | 2.45074e10i | 0.140874 | + | 0.292528i | ||||
\(539\) | −1.03942e11 | − | 1.56667e10i | −1.23150 | − | 0.185619i | ||||
\(540\) | 4.88550e9 | − | 1.24481e10i | 0.0574558 | − | 0.146395i | ||||
\(541\) | 9.17388e8 | − | 1.22417e10i | 0.0107094 | − | 0.142907i | −0.989286 | − | 0.145991i | \(-0.953363\pi\) |
0.999995 | + | 0.00308470i | \(0.000981892\pi\) | |||||||
\(542\) | 7.25740e10 | − | 7.82162e10i | 0.840977 | − | 0.906358i | ||||
\(543\) | 8.91344e10 | + | 2.03443e10i | 1.02529 | + | 0.234015i | ||||
\(544\) | −5.83342e9 | − | 3.87022e10i | −0.0666082 | − | 0.441916i | ||||
\(545\) | 2.49657e10 | + | 3.66180e10i | 0.282981 | + | 0.415057i | ||||
\(546\) | 1.46999e10 | − | 4.76558e10i | 0.165403 | − | 0.536222i | ||||
\(547\) | −1.39864e9 | − | 1.86635e10i | −0.0156227 | − | 0.208471i | −0.999552 | − | 0.0299146i | \(-0.990476\pi\) |
0.983930 | − | 0.178556i | \(-0.0571426\pi\) | |||||||
\(548\) | −8.21123e10 | − | 6.54824e10i | −0.910513 | − | 0.726110i | ||||
\(549\) | 7.93692e9 | + | 2.57309e10i | 0.0873701 | + | 0.283247i | ||||
\(550\) | 1.91376e11 | − | 7.51097e10i | 2.09140 | − | 0.820815i | ||||
\(551\) | −1.11770e9 | − | 4.89696e9i | −0.0121260 | − | 0.0531276i | ||||
\(552\) | 1.92438e10 | − | 3.33313e10i | 0.207269 | − | 0.359001i | ||||
\(553\) | 3.85293e10 | − | 2.22449e10i | 0.411993 | − | 0.237864i | ||||
\(554\) | −1.13313e11 | + | 1.05139e11i | −1.20293 | + | 1.11615i | ||||
\(555\) | 1.22869e10 | − | 9.79846e9i | 0.129500 | − | 0.103273i | ||||
\(556\) | 1.20514e11 | + | 8.21649e10i | 1.26106 | + | 0.859780i | ||||
\(557\) | 9.27656e10 | + | 4.46736e10i | 0.963754 | + | 0.464119i | 0.848488 | − | 0.529215i | \(-0.177514\pi\) |
0.115266 | + | 0.993335i | \(0.463228\pi\) | |||||||
\(558\) | 7.13222e10i | 0.735678i | ||||||||
\(559\) | 4.30504e10 | − | 4.76619e10i | 0.440889 | − | 0.488118i | ||||
\(560\) | 2.65957e9 | 0.0270433 | ||||||||
\(561\) | 4.78312e10 | − | 9.93225e10i | 0.482903 | − | 1.00276i | ||||
\(562\) | −7.45771e10 | + | 1.09385e11i | −0.747584 | + | 1.09650i | ||||
\(563\) | 7.77687e10 | + | 9.75188e10i | 0.774054 | + | 0.970633i | 0.999994 | − | 0.00350863i | \(-0.00111683\pi\) |
−0.225940 | + | 0.974141i | \(0.572545\pi\) | |||||||
\(564\) | 4.10491e10 | + | 4.42404e10i | 0.405683 | + | 0.437222i | ||||
\(565\) | 1.54983e10 | + | 2.68438e10i | 0.152086 | + | 0.263421i | ||||
\(566\) | −1.33028e10 | − | 7.68037e9i | −0.129621 | − | 0.0748370i | ||||
\(567\) | 4.68263e10 | − | 1.06878e10i | 0.453062 | − | 0.103408i | ||||
\(568\) | 5.91684e10 | + | 1.50759e11i | 0.568456 | + | 1.44840i | ||||
\(569\) | −1.00877e11 | + | 3.11165e10i | −0.962374 | + | 0.296853i | −0.735844 | − | 0.677151i | \(-0.763214\pi\) |
−0.226530 | + | 0.974004i | \(0.572738\pi\) | |||||||
\(570\) | 3.39982e10 | − | 4.26324e10i | 0.322075 | − | 0.403869i | ||||
\(571\) | 3.73755e10 | − | 2.80091e9i | 0.351595 | − | 0.0263484i | 0.102238 | − | 0.994760i | \(-0.467400\pi\) |
0.249357 | + | 0.968412i | \(0.419781\pi\) | |||||||
\(572\) | −1.70742e11 | − | 5.26670e10i | −1.59499 | − | 0.491988i | ||||
\(573\) | 1.58756e10 | − | 1.08238e10i | 0.147269 | − | 0.100406i | ||||
\(574\) | −2.33587e10 | + | 3.52076e9i | −0.215180 | + | 0.0324331i | ||||
\(575\) | −5.88838e9 | + | 2.57987e10i | −0.0538672 | + | 0.236008i | ||||
\(576\) | 9.29787e10 | + | 8.62716e10i | 0.844683 | + | 0.783751i | ||||
\(577\) | 1.21657e11 | + | 9.11693e9i | 1.09757 | + | 0.0822518i | 0.611183 | − | 0.791490i | \(-0.290694\pi\) |
0.486391 | + | 0.873741i | \(0.338313\pi\) | |||||||
\(578\) | 1.15268e11 | + | 4.52394e10i | 1.03276 | + | 0.405327i | ||||
\(579\) | −3.27525e10 | + | 2.17298e11i | −0.291427 | + | 1.93349i | ||||
\(580\) | −3.01353e9 | + | 1.45124e9i | −0.0266295 | + | 0.0128241i | ||||
\(581\) | 1.95815e10 | + | 4.06615e10i | 0.171847 | + | 0.356844i | ||||
\(582\) | −4.87248e11 | − | 7.34408e10i | −4.24676 | − | 0.640097i | ||||
\(583\) | 9.86668e10 | − | 2.51399e11i | 0.854077 | − | 2.17615i | ||||
\(584\) | −2.30544e9 | + | 3.07640e10i | −0.0198200 | + | 0.264479i | ||||
\(585\) | −1.06774e10 | + | 1.15075e10i | −0.0911676 | + | 0.0982553i | ||||
\(586\) | −8.71941e10 | − | 1.99015e10i | −0.739430 | − | 0.168770i | ||||
\(587\) | −7.71136e9 | − | 5.11615e10i | −0.0649499 | − | 0.430915i | −0.997547 | − | 0.0699960i | \(-0.977701\pi\) |
0.932597 | − | 0.360919i | \(-0.117537\pi\) | |||||||
\(588\) | −1.30178e11 | − | 1.90936e11i | −1.08900 | − | 1.59727i | ||||
\(589\) | 1.83584e10 | − | 5.95166e10i | 0.152537 | − | 0.494512i | ||||
\(590\) | 3.30219e9 | + | 4.40646e10i | 0.0272517 | + | 0.363649i | ||||
\(591\) | −1.94896e11 | − | 1.55424e11i | −1.59754 | − | 1.27400i | ||||
\(592\) | 4.22050e9 | + | 1.36825e10i | 0.0343619 | + | 0.111399i | ||||
\(593\) | 1.62810e11 | − | 6.38982e10i | 1.31663 | − | 0.516738i | 0.400012 | − | 0.916510i | \(-0.369006\pi\) |
0.916614 | + | 0.399772i | \(0.130911\pi\) | |||||||
\(594\) | −2.24632e10 | − | 9.84176e10i | −0.180437 | − | 0.790546i | ||||
\(595\) | −3.82612e9 | + | 6.62703e9i | −0.0305275 | + | 0.0528751i | ||||
\(596\) | −2.60354e11 | + | 1.50316e11i | −2.06338 | + | 1.19129i | ||||
\(597\) | −2.45410e11 | + | 2.27707e11i | −1.93194 | + | 1.79258i | ||||
\(598\) | 2.83974e10 | − | 2.26462e10i | 0.222062 | − | 0.177089i | ||||
\(599\) | −4.01364e10 | − | 2.73645e10i | −0.311767 | − | 0.212559i | 0.397320 | − | 0.917680i | \(-0.369940\pi\) |
−0.709087 | + | 0.705121i | \(0.750893\pi\) | |||||||
\(600\) | 1.71319e11 | + | 8.25030e10i | 1.32191 | + | 0.636597i | ||||
\(601\) | − | 7.20707e10i | − | 0.552409i | −0.961099 | − | 0.276205i | \(-0.910923\pi\) | ||
0.961099 | − | 0.276205i | \(-0.0890768\pi\) | |||||||
\(602\) | 1.37552e10 | + | 8.36428e10i | 0.104733 | + | 0.636858i | ||||
\(603\) | −6.91065e10 | −0.522697 | ||||||||
\(604\) | 1.71493e11 | − | 3.56109e11i | 1.28854 | − | 2.67568i | ||||
\(605\) | −2.38934e10 | + | 3.50452e10i | −0.178343 | + | 0.261582i | ||||
\(606\) | 1.27761e11 | + | 1.60207e11i | 0.947344 | + | 1.18793i | ||||
\(607\) | 5.93477e10 | + | 6.39616e10i | 0.437168 | + | 0.471156i | 0.912751 | − | 0.408515i | \(-0.133953\pi\) |
−0.475583 | + | 0.879671i | \(0.657763\pi\) | |||||||
\(608\) | −4.62702e10 | − | 8.01423e10i | −0.338600 | − | 0.586472i | ||||
\(609\) | −3.86455e9 | − | 2.23120e9i | −0.0280950 | − | 0.0162207i | ||||
\(610\) | −2.41094e10 | + | 5.50281e9i | −0.174127 | + | 0.0397434i | ||||
\(611\) | 8.75410e9 | + | 2.23051e10i | 0.0628126 | + | 0.160044i | ||||
\(612\) | 9.90447e10 | − | 3.05513e10i | 0.706034 | − | 0.217783i | ||||
\(613\) | 8.35103e10 | − | 1.04719e11i | 0.591423 | − | 0.741621i | −0.392591 | − | 0.919713i | \(-0.628421\pi\) |
0.984014 | + | 0.178093i | \(0.0569926\pi\) | |||||||
\(614\) | −2.65827e11 | + | 1.99210e10i | −1.87036 | + | 0.140164i | ||||
\(615\) | 1.66138e10 | + | 5.12467e9i | 0.116136 | + | 0.0358233i | ||||
\(616\) | 8.19745e10 | − | 5.58892e10i | 0.569319 | − | 0.388155i | ||||
\(617\) | −1.03602e11 | + | 1.56155e10i | −0.714872 | + | 0.107750i | −0.496400 | − | 0.868094i | \(-0.665345\pi\) |
−0.218471 | + | 0.975843i | \(0.570107\pi\) | |||||||
\(618\) | −4.13236e10 | + | 1.81051e11i | −0.283299 | + | 1.24121i | ||||
\(619\) | −1.70586e10 | − | 1.58281e10i | −0.116193 | − | 0.107812i | 0.619937 | − | 0.784652i | \(-0.287158\pi\) |
−0.736130 | + | 0.676840i | \(0.763349\pi\) | |||||||
\(620\) | −4.13590e10 | − | 3.09943e9i | −0.279900 | − | 0.0209756i | ||||
\(621\) | 1.20954e10 | + | 4.74708e9i | 0.0813302 | + | 0.0319198i | ||||
\(622\) | −2.84969e10 | + | 1.89065e11i | −0.190387 | + | 1.26313i | ||||
\(623\) | −2.42464e10 | + | 1.16764e10i | −0.160951 | + | 0.0775101i | ||||
\(624\) | −1.45103e10 | − | 3.01310e10i | −0.0957059 | − | 0.198735i | ||||
\(625\) | −1.18057e11 | − | 1.77942e10i | −0.773697 | − | 0.116616i | ||||
\(626\) | 6.77059e10 | − | 1.72512e11i | 0.440889 | − | 1.12337i | ||||
\(627\) | 1.94783e10 | − | 2.59920e11i | 0.126032 | − | 1.68178i | ||||
\(628\) | −2.49226e10 | + | 2.68602e10i | −0.160234 | + | 0.172691i | ||||
\(629\) | −4.01655e10 | − | 9.16751e9i | −0.256596 | − | 0.0585664i | ||||
\(630\) | −3.08792e9 | − | 2.04870e10i | −0.0196021 | − | 0.130052i | ||||
\(631\) | −5.54244e10 | − | 8.12927e10i | −0.349610 | − | 0.512784i | 0.610646 | − | 0.791903i | \(-0.290910\pi\) |
−0.960256 | + | 0.279120i | \(0.909957\pi\) | |||||||
\(632\) | 6.86289e10 | − | 2.22490e11i | 0.430169 | − | 1.39457i | ||||
\(633\) | 1.29507e10 | + | 1.72815e11i | 0.0806639 | + | 1.07638i | ||||
\(634\) | −7.16880e10 | − | 5.71693e10i | −0.443700 | − | 0.353839i | ||||
\(635\) | 6.59171e9 | + | 2.13698e10i | 0.0405418 | + | 0.131433i | ||||
\(636\) | 5.52685e11 | − | 2.16913e11i | 3.37792 | − | 1.32574i | ||||
\(637\) | −2.04165e10 | − | 8.94506e10i | −0.124001 | − | 0.543282i | ||||
\(638\) | −1.26248e10 | + | 2.18668e10i | −0.0761978 | + | 0.131979i | ||||
\(639\) | 1.40002e11 | − | 8.08301e10i | 0.839712 | − | 0.484808i | ||||
\(640\) | −5.92217e10 | + | 5.49497e10i | −0.352989 | + | 0.327526i | ||||
\(641\) | 8.88034e10 | − | 7.08183e10i | 0.526014 | − | 0.419482i | −0.324146 | − | 0.946007i | \(-0.605077\pi\) |
0.850160 | + | 0.526525i | \(0.176505\pi\) | |||||||
\(642\) | −3.51007e11 | − | 2.39313e11i | −2.06622 | − | 1.40872i | ||||
\(643\) | 8.56500e10 | + | 4.12469e10i | 0.501053 | + | 0.241294i | 0.667299 | − | 0.744790i | \(-0.267450\pi\) |
−0.166246 | + | 0.986084i | \(0.553165\pi\) | |||||||
\(644\) | 3.03540e10i | 0.176471i | ||||||||
\(645\) | 1.75891e10 | − | 5.98572e10i | 0.101626 | − | 0.345842i | ||||
\(646\) | −1.42948e11 | −0.820822 | ||||||||
\(647\) | −1.04246e10 | + | 2.16468e10i | −0.0594896 | + | 0.123531i | −0.928594 | − | 0.371097i | \(-0.878982\pi\) |
0.869104 | + | 0.494629i | \(0.164696\pi\) | |||||||
\(648\) | 1.41598e11 | − | 2.07687e11i | 0.803079 | − | 1.17790i | ||||
\(649\) | 1.31693e11 | + | 1.65138e11i | 0.742309 | + | 0.930826i | ||||
\(650\) | 1.22056e11 | + | 1.31545e11i | 0.683765 | + | 0.736924i | ||||
\(651\) | −2.76668e10 | − | 4.79203e10i | −0.154040 | − | 0.266806i | ||||
\(652\) | −3.92344e11 | − | 2.26520e11i | −2.17108 | − | 1.25348i | ||||
\(653\) | −1.42513e11 | + | 3.25277e10i | −0.783794 | + | 0.178896i | −0.595648 | − | 0.803245i | \(-0.703105\pi\) |
−0.188146 | + | 0.982141i | \(0.560248\pi\) | |||||||
\(654\) | 2.68715e11 | + | 6.84674e11i | 1.46886 | + | 3.74259i | ||||
\(655\) | −7.66584e10 | + | 2.36460e10i | −0.416480 | + | 0.128467i | ||||
\(656\) | −9.87661e9 | + | 1.23849e10i | −0.0533326 | + | 0.0668770i | ||||
\(657\) | 3.07082e10 | − | 2.30126e9i | 0.164813 | − | 0.0123511i | ||||
\(658\) | −3.02196e10 | − | 9.32150e9i | −0.161207 | − | 0.0497259i | ||||
\(659\) | 1.09904e11 | − | 7.49316e10i | 0.582739 | − | 0.397304i | −0.235761 | − | 0.971811i | \(-0.575758\pi\) |
0.818500 | + | 0.574507i | \(0.194806\pi\) | |||||||
\(660\) | −1.71628e11 | + | 2.58688e10i | −0.904509 | + | 0.136333i | ||||
\(661\) | −5.30585e10 | + | 2.32464e11i | −0.277939 | + | 1.21773i | 0.622456 | + | 0.782655i | \(0.286135\pi\) |
−0.900395 | + | 0.435074i | \(0.856722\pi\) | |||||||
\(662\) | 1.01524e11 | + | 9.42006e10i | 0.528612 | + | 0.490481i | ||||
\(663\) | 9.59545e10 | + | 7.19079e9i | 0.496605 | + | 0.0372154i | ||||
\(664\) | 2.19862e11 | + | 8.62894e10i | 1.13104 | + | 0.443900i | ||||
\(665\) | −2.69659e9 | + | 1.78907e10i | −0.0137889 | + | 0.0914832i | ||||
\(666\) | 1.00498e11 | − | 4.83973e10i | 0.510812 | − | 0.245994i | ||||
\(667\) | −1.41012e9 | − | 2.92814e9i | −0.00712447 | − | 0.0147941i | ||||
\(668\) | 1.21605e11 | + | 1.83291e10i | 0.610727 | + | 0.0920523i | ||||
\(669\) | 1.18134e11 | − | 3.00999e11i | 0.589751 | − | 1.50266i | ||||
\(670\) | 4.74283e9 | − | 6.32886e10i | 0.0235363 | − | 0.314070i | ||||
\(671\) | −8.04009e10 | + | 8.66515e10i | −0.396616 | + | 0.427451i | ||||
\(672\) | −8.01526e10 | − | 1.82943e10i | −0.393043 | − | 0.0897096i | ||||
\(673\) | 8.40717e9 | + | 5.57779e10i | 0.0409816 | + | 0.271895i | 0.999932 | − | 0.0116793i | \(-0.00371771\pi\) |
−0.958950 | + | 0.283575i | \(0.908480\pi\) | |||||||
\(674\) | −7.51596e10 | − | 1.10239e11i | −0.364204 | − | 0.534190i | ||||
\(675\) | −1.89219e10 | + | 6.13432e10i | −0.0911484 | + | 0.295496i | ||||
\(676\) | 1.52842e10 | + | 2.03954e11i | 0.0731909 | + | 0.976665i | ||||
\(677\) | −1.45455e9 | − | 1.15997e9i | −0.00692428 | − | 0.00552193i | 0.620022 | − | 0.784585i | \(-0.287124\pi\) |
−0.626946 | + | 0.779063i | \(0.715695\pi\) | |||||||
\(678\) | 1.51628e11 | + | 4.91565e11i | 0.717563 | + | 2.32628i | ||||
\(679\) | 1.52194e11 | − | 5.97318e10i | 0.716009 | − | 0.281013i | ||||
\(680\) | 8.91139e9 | + | 3.90433e10i | 0.0416783 | + | 0.182604i | ||||
\(681\) | 2.05432e11 | − | 3.55819e11i | 0.955170 | − | 1.65440i | ||||
\(682\) | −2.71148e11 | + | 1.56547e11i | −1.25334 | + | 0.723616i | ||||
\(683\) | −3.06181e11 | + | 2.84094e11i | −1.40700 | + | 1.30551i | −0.512327 | + | 0.858790i | \(0.671217\pi\) |
−0.894675 | + | 0.446717i | \(0.852593\pi\) | |||||||
\(684\) | 1.91601e11 | − | 1.52797e11i | 0.875334 | − | 0.698056i | ||||
\(685\) | −3.34672e10 | − | 2.28175e10i | −0.152005 | − | 0.103635i | ||||
\(686\) | 2.37881e11 | + | 1.14557e11i | 1.07414 | + | 0.517280i | ||||
\(687\) | − | 5.47665e11i | − | 2.45860i | ||||||
\(688\) | 4.49122e10 | + | 3.48425e10i | 0.200452 | + | 0.155509i | ||||
\(689\) | 2.35731e11 | 1.04602 | ||||||||
\(690\) | 1.53084e10 | − | 3.17881e10i | 0.0675355 | − | 0.140239i | ||||
\(691\) | −1.91183e11 | + | 2.80413e11i | −0.838564 | + | 1.22995i | 0.132513 | + | 0.991181i | \(0.457695\pi\) |
−0.971077 | + | 0.238766i | \(0.923257\pi\) | |||||||
\(692\) | −2.04415e11 | − | 2.56328e11i | −0.891433 | − | 1.11782i | ||||
\(693\) | −6.73603e10 | − | 7.25971e10i | −0.292059 | − | 0.314765i | ||||
\(694\) | −1.85940e11 | − | 3.22058e11i | −0.801560 | − | 1.38834i | ||||
\(695\) | 4.87169e10 | + | 2.81267e10i | 0.208805 | + | 0.120554i | ||||
\(696\) | −2.27681e10 | + | 5.19667e9i | −0.0970263 | + | 0.0221456i | ||||
\(697\) | −1.66515e10 | − | 4.24275e10i | −0.0705543 | − | 0.179769i | ||||
\(698\) | 5.24037e11 | − | 1.61644e11i | 2.20770 | − | 0.680985i | ||||
\(699\) | −5.73374e10 | + | 7.18989e10i | −0.240176 | + | 0.301171i | ||||
\(700\) | −1.49546e11 | + | 1.12069e10i | −0.622849 | + | 0.0466761i | ||||
\(701\) | 5.37425e10 | + | 1.65774e10i | 0.222559 | + | 0.0686504i | 0.404029 | − | 0.914746i | \(-0.367609\pi\) |
−0.181470 | + | 0.983396i | \(0.558086\pi\) | |||||||
\(702\) | 7.28030e10 | − | 4.96363e10i | 0.299779 | − | 0.204386i | ||||
\(703\) | −9.63207e10 | + | 1.45180e10i | −0.394365 | + | 0.0594410i | ||||
\(704\) | −1.23900e11 | + | 5.42840e11i | −0.504406 | + | 2.20995i | ||||
\(705\) | 1.70623e10 | + | 1.58315e10i | 0.0690686 | + | 0.0640863i | ||||
\(706\) | 4.32004e11 | + | 3.23742e10i | 1.73888 | + | 0.130311i | ||||
\(707\) | −6.32905e10 | − | 2.48397e10i | −0.253315 | − | 0.0994189i | ||||
\(708\) | −6.92083e10 | + | 4.59167e11i | −0.275439 | + | 1.82742i | ||||
\(709\) | −4.43142e11 | + | 2.13406e11i | −1.75371 | + | 0.844542i | −0.777145 | + | 0.629322i | \(0.783333\pi\) |
−0.976566 | + | 0.215220i | \(0.930953\pi\) | |||||||
\(710\) | 6.44168e10 | + | 1.33763e11i | 0.253493 | + | 0.526383i | ||||
\(711\) | −2.29815e11 | − | 3.46391e10i | −0.899292 | − | 0.135546i | ||||
\(712\) | −5.14543e10 | + | 1.31103e11i | −0.200217 | + | 0.510145i | ||||
\(713\) | 3.01161e9 | − | 4.01871e10i | 0.0116531 | − | 0.155499i | ||||
\(714\) | −8.63798e10 | + | 9.30953e10i | −0.332368 | + | 0.358208i | ||||
\(715\) | −6.71843e10 | − | 1.53344e10i | −0.257065 | − | 0.0586735i | ||||
\(716\) | −7.03370e10 | − | 4.66656e11i | −0.267628 | − | 1.77560i | ||||
\(717\) | 1.14466e11 | + | 1.67890e11i | 0.433110 | + | 0.635256i | ||||
\(718\) | 1.90990e10 | − | 6.19175e10i | 0.0718643 | − | 0.232978i | ||||
\(719\) | −2.80476e10 | − | 3.74269e11i | −0.104949 | − | 1.40045i | −0.762474 | − | 0.647018i | \(-0.776016\pi\) |
0.657525 | − | 0.753433i | \(-0.271603\pi\) | |||||||
\(720\) | −1.08623e10 | − | 8.66239e9i | −0.0404196 | − | 0.0322335i | ||||
\(721\) | −1.81622e10 | − | 5.88803e10i | −0.0672089 | − | 0.217886i | ||||
\(722\) | 1.03039e11 | − | 4.04400e10i | 0.379188 | − | 0.148820i | ||||
\(723\) | 1.25299e11 | + | 5.48971e11i | 0.458559 | + | 2.00908i | ||||
\(724\) | −1.88679e11 | + | 3.26801e11i | −0.686703 | + | 1.18941i | ||||
\(725\) | 1.39056e10 | − | 8.02837e9i | 0.0503311 | − | 0.0290587i | ||||
\(726\) | −5.16015e11 | + | 4.78792e11i | −1.85744 | + | 1.72346i | ||||
\(727\) | 2.49697e11 | − | 1.99127e11i | 0.893873 | − | 0.712840i | −0.0646342 | − | 0.997909i | \(-0.520588\pi\) |
0.958507 | + | 0.285069i | \(0.0920166\pi\) | |||||||
\(728\) | 7.15521e10 | + | 4.87834e10i | 0.254740 | + | 0.173679i | ||||
\(729\) | −1.13691e11 | − | 5.47509e10i | −0.402548 | − | 0.193857i | ||||
\(730\) | 2.82809e10i | 0.0995867i | ||||||||
\(731\) | −1.51431e11 | + | 6.17856e10i | −0.530330 | + | 0.216380i | ||||
\(732\) | −2.59870e11 | −0.905132 | ||||||||
\(733\) | −1.21905e11 | + | 2.53138e11i | −0.422285 | + | 0.876883i | 0.575950 | + | 0.817485i | \(0.304632\pi\) |
−0.998234 | + | 0.0593982i | \(0.981082\pi\) | |||||||
\(734\) | 3.13904e11 | − | 4.60413e11i | 1.08147 | − | 1.58622i | ||||
\(735\) | −5.55686e10 | − | 6.96808e10i | −0.190406 | − | 0.238761i | ||||
\(736\) | −4.07267e10 | − | 4.38929e10i | −0.138793 | − | 0.149583i | ||||
\(737\) | −1.51684e11 | − | 2.62724e11i | −0.514126 | − | 0.890493i | ||||
\(738\) | 1.06870e11 | + | 6.17012e10i | 0.360271 | + | 0.208002i | ||||
\(739\) | −1.20630e11 | + | 2.75330e10i | −0.404462 | + | 0.0923159i | −0.419912 | − | 0.907565i | \(-0.637939\pi\) |
0.0154498 | + | 0.999881i | \(0.495082\pi\) | |||||||
\(740\) | 2.36978e10 | + | 6.03809e10i | 0.0790279 | + | 0.201360i | ||||
\(741\) | 2.17401e11 | − | 6.70595e10i | 0.721090 | − | 0.222427i | ||||
\(742\) | −1.93980e11 | + | 2.43243e11i | −0.639943 | + | 0.802464i | ||||
\(743\) | −1.71383e10 | + | 1.28434e9i | −0.0562358 | + | 0.00421429i | −0.102818 | − | 0.994700i | \(-0.532786\pi\) |
0.0465825 | + | 0.998914i | \(0.485167\pi\) | |||||||
\(744\) | −2.76718e11 | − | 8.53563e10i | −0.903122 | − | 0.278576i | ||||
\(745\) | −9.57983e10 | + | 6.53142e10i | −0.310980 | + | 0.212023i | ||||
\(746\) | 5.39318e11 | − | 8.12891e10i | 1.74136 | − | 0.262468i | ||||
\(747\) | 5.24616e10 | − | 2.29849e11i | 0.168484 | − | 0.738177i | ||||
\(748\) | 3.33544e11 | + | 3.09484e11i | 1.06548 | + | 0.988624i | ||||
\(749\) | 1.40564e11 | + | 1.05338e10i | 0.446628 | + | 0.0334701i | ||||
\(750\) | 3.37563e11 | + | 1.32484e11i | 1.06687 | + | 0.418714i | ||||
\(751\) | 6.29404e10 | − | 4.17582e11i | 0.197865 | − | 1.31275i | −0.640633 | − | 0.767847i | \(-0.721328\pi\) |
0.838498 | − | 0.544904i | \(-0.183434\pi\) | |||||||
\(752\) | −1.91067e10 | + | 9.20132e9i | −0.0597469 | + | 0.0287726i | ||||
\(753\) | 2.24389e11 | + | 4.65948e11i | 0.697944 | + | 1.44930i | ||||
\(754\) | −2.17932e10 | − | 3.28479e9i | −0.0674272 | − | 0.0101630i | ||||
\(755\) | 5.56915e10 | − | 1.41900e11i | 0.171396 | − | 0.436711i | ||||
\(756\) | −5.50287e9 | + | 7.34307e10i | −0.0168462 | + | 0.224797i | ||||
\(757\) | 3.25054e11 | − | 3.50325e11i | 0.989855 | − | 1.06681i | −0.00790835 | − | 0.999969i | \(-0.502517\pi\) |
0.997764 | − | 0.0668415i | \(-0.0212922\pi\) | |||||||
\(758\) | −2.43879e10 | − | 5.56637e9i | −0.0738749 | − | 0.0168615i | ||||
\(759\) | −2.51358e10 | − | 1.66765e11i | −0.0757401 | − | 0.502503i | ||||
\(760\) | 5.33393e10 | + | 7.82343e10i | 0.159879 | + | 0.234500i | ||||
\(761\) | 5.15225e9 | − | 1.67032e10i | 0.0153624 | − | 0.0498036i | −0.947567 | − | 0.319557i | \(-0.896466\pi\) |
0.962929 | + | 0.269753i | \(0.0869421\pi\) | |||||||
\(762\) | 2.77355e10 | + | 3.70105e11i | 0.0822653 | + | 1.09775i | ||||
\(763\) | −1.90803e11 | − | 1.52160e11i | −0.562972 | − | 0.448955i | ||||
\(764\) | 2.33758e10 | + | 7.57826e10i | 0.0686110 | + | 0.222431i | ||||
\(765\) | 3.72115e10 | − | 1.46044e10i | 0.108650 | − | 0.0426421i | ||||
\(766\) | 1.44262e11 | + | 6.32055e11i | 0.419023 | + | 1.83586i | ||||
\(767\) | −9.21824e10 | + | 1.59665e11i | −0.266358 | + | 0.461346i | ||||
\(768\) | −5.47030e11 | + | 3.15828e11i | −1.57241 | + | 0.907832i | ||||
\(769\) | −5.07320e10 | + | 4.70725e10i | −0.145070 | + | 0.134605i | −0.749370 | − | 0.662152i | \(-0.769643\pi\) |
0.604300 | + | 0.796757i | \(0.293453\pi\) | |||||||
\(770\) | 7.11083e10 | − | 5.67070e10i | 0.202282 | − | 0.161315i | ||||
\(771\) | 8.30644e10 | + | 5.66324e10i | 0.235070 | + | 0.160268i | ||||
\(772\) | −8.17194e11 | − | 3.93540e11i | −2.30068 | − | 1.10795i | ||||
\(773\) | 2.73363e11i | 0.765634i | 0.923824 | + | 0.382817i | \(0.125046\pi\) | ||||
−0.923824 | + | 0.382817i | \(0.874954\pi\) | |||||||
\(774\) | 2.16251e11 | − | 3.86419e11i | 0.602551 | − | 1.07670i | ||||
\(775\) | 1.99103e11 | 0.551914 | ||||||||
\(776\) | 3.71250e11 | − | 7.70908e11i | 1.02381 | − | 2.12596i | ||||
\(777\) | −4.87492e10 | + | 7.15019e10i | −0.133747 | + | 0.196170i | ||||
\(778\) | −5.82943e11 | − | 7.30987e11i | −1.59114 | − | 1.99522i | ||||
\(779\) | −7.32981e10 | − | 7.89966e10i | −0.199041 | − | 0.214515i | ||||
\(780\) | −7.57495e10 | − | 1.31202e11i | −0.204645 | − | 0.354456i | ||||
\(781\) | 6.14588e11 | + | 3.54833e11i | 1.65189 | + | 0.953717i | ||||
\(782\) | −9.01737e10 | + | 2.05816e10i | −0.241131 | + | 0.0550366i | ||||
\(783\) | −2.88044e9 | − | 7.33924e9i | −0.00766323 | − | 0.0195256i | ||||
\(784\) | 7.75958e10 | − | 2.39351e10i | 0.205388 | − | 0.0633537i | ||||
\(785\) | −8.81092e9 | + | 1.10485e10i | −0.0232029 | + | 0.0290956i | ||||
\(786\) | −1.32765e12 | + | 9.94937e10i | −3.47851 | + | 0.260679i | ||||
\(787\) | 4.42148e11 | + | 1.36385e11i | 1.15257 | + | 0.355522i | 0.811408 | − | 0.584480i | \(-0.198702\pi\) |
0.341167 | + | 0.940003i | \(0.389178\pi\) | |||||||
\(788\) | 8.50110e11 | − | 5.79595e11i | 2.20480 | − | 1.50321i | ||||
\(789\) | 4.17619e11 | − | 6.29460e10i | 1.07764 | − | 0.162428i | ||||
\(790\) | 4.74953e10 | − | 2.08091e11i | 0.121939 | − | 0.534249i | ||||
\(791\) | −1.25121e11 | − | 1.16095e11i | −0.319613 | − | 0.296558i | ||||
\(792\) | −5.16838e11 | − | 3.87316e10i | −1.31357 | − | 0.0984385i | ||||
\(793\) | −9.60452e10 | − | 3.76950e10i | −0.242875 | − | 0.0953215i | ||||
\(794\) | −5.84342e10 | + | 3.87685e11i | −0.147023 | + | 0.975433i | ||||
\(795\) | 2.06308e11 | − | 9.93525e10i | 0.516472 | − | 0.248720i | ||||
\(796\) | −5.99530e11 | − | 1.24494e12i | −1.49334 | − | 3.10095i | ||||
\(797\) | −8.57065e10 | − | 1.29182e10i | −0.212413 | − | 0.0320161i | 0.0419737 | − | 0.999119i | \(-0.486635\pi\) |
−0.254386 | + | 0.967103i | \(0.581874\pi\) | |||||||
\(798\) | −1.09701e11 | + | 2.79512e11i | −0.270519 | + | 0.689270i | ||||
\(799\) | 4.55984e9 | − | 6.08468e10i | 0.0111883 | − | 0.149297i | ||||
\(800\) | 2.01212e11 | − | 2.16855e11i | 0.491240 | − | 0.529431i | ||||
\(801\) | 1.37059e11 | + | 3.12828e10i | 0.332948 | + | 0.0759933i | ||||
\(802\) | −1.43018e11 | − | 9.48865e11i | −0.345696 | − | 2.29354i | ||||
\(803\) | 7.61511e10 | + | 1.11693e11i | 0.183153 | + | 0.268636i | ||||
\(804\) | 1.96583e11 | − | 6.37306e11i | 0.470459 | − | 1.52519i | ||||
\(805\) | 8.74843e8 | + | 1.16740e10i | 0.00208327 | + | 0.0277994i | ||||
\(806\) | −2.13664e11 | − | 1.70392e11i | −0.506282 | − | 0.403746i | ||||
\(807\) | 3.24945e10 | + | 1.05345e11i | 0.0766153 | + | 0.248381i | ||||
\(808\) | −3.31226e11 | + | 1.29997e11i | −0.777104 | + | 0.304991i | ||||
\(809\) | 2.33983e10 | + | 1.02514e11i | 0.0546247 | + | 0.239327i | 0.994869 | − | 0.101175i | \(-0.0322602\pi\) |
−0.940244 | + | 0.340502i | \(0.889403\pi\) | |||||||
\(810\) | 1.15215e11 | − | 1.99557e11i | 0.267650 | − | 0.463583i | ||||
\(811\) | −5.67017e11 | + | 3.27368e11i | −1.31073 | + | 0.756750i | −0.982217 | − | 0.187750i | \(-0.939880\pi\) |
−0.328512 | + | 0.944500i | \(0.606547\pi\) | |||||||
\(812\) | 1.35015e10 | − | 1.25276e10i | 0.0310570 | − | 0.0288167i | ||||
\(813\) | 3.38093e11 | − | 2.69620e11i | 0.773881 | − | 0.617149i | ||||
\(814\) | 4.04580e11 | + | 2.75838e11i | 0.921525 | + | 0.628285i | ||||
\(815\) | −1.57422e11 | − | 7.58102e10i | −0.356807 | − | 0.171829i | ||||
\(816\) | 8.51618e10i | 0.192081i | ||||||||
\(817\) | −2.79921e11 | + | 2.66793e11i | −0.628270 | + | 0.598807i | ||||
\(818\) | 7.88372e11 | 1.76083 | ||||||||
\(819\) | 3.75061e10 | − | 7.78821e10i | 0.0833615 | − | 0.173102i | ||||
\(820\) | −4.04241e10 | + | 5.92912e10i | −0.0894097 | + | 0.131140i | ||||
\(821\) | −1.22469e10 | − | 1.53571e10i | −0.0269559 | − | 0.0338016i | 0.768171 | − | 0.640245i | \(-0.221167\pi\) |
−0.795127 | + | 0.606443i | \(0.792596\pi\) | |||||||
\(822\) | −4.57232e11 | − | 4.92779e11i | −1.00150 | − | 1.07936i | ||||
\(823\) | 3.13380e11 | + | 5.42790e11i | 0.683080 | + | 1.18313i | 0.974036 | + | 0.226393i | \(0.0726935\pi\) |
−0.290955 | + | 0.956737i | \(0.593973\pi\) | |||||||
\(824\) | −2.79269e11 | − | 1.61236e11i | −0.605779 | − | 0.349746i | ||||
\(825\) | 8.12328e11 | − | 1.85408e11i | 1.75354 | − | 0.400234i | ||||
\(826\) | −8.88972e10 | − | 2.26506e11i | −0.190971 | − | 0.486587i | ||||
\(827\) | 1.53316e11 | − | 4.72917e10i | 0.327767 | − | 0.101103i | −0.126504 | − | 0.991966i | \(-0.540376\pi\) |
0.454272 | + | 0.890863i | \(0.349900\pi\) | |||||||
\(828\) | 9.88651e10 | − | 1.23973e11i | 0.210340 | − | 0.263758i | ||||
\(829\) | 4.21705e11 | − | 3.16024e10i | 0.892876 | − | 0.0669118i | 0.379615 | − | 0.925145i | \(-0.376056\pi\) |
0.513261 | + | 0.858233i | \(0.328437\pi\) | |||||||
\(830\) | 2.06898e11 | + | 6.38197e10i | 0.435958 | + | 0.134475i | ||||
\(831\) | −5.17619e11 | + | 3.52907e11i | −1.08544 | + | 0.740042i | ||||
\(832\) | −4.80579e11 | + | 7.24357e10i | −1.00293 | + | 0.151168i | ||||
\(833\) | −5.19904e10 | + | 2.27785e11i | −0.107980 | + | 0.473091i | ||||
\(834\) | 6.84366e11 | + | 6.34999e11i | 1.41457 | + | 1.31253i | ||||
\(835\) | 4.72969e10 | + | 3.54441e9i | 0.0972942 | + | 0.00729119i | ||||
\(836\) | 1.00144e12 | + | 3.93038e11i | 2.05023 | + | 0.804654i | ||||
\(837\) | 1.45710e10 | − | 9.66724e10i | 0.0296885 | − | 0.196970i | ||||
\(838\) | 2.96727e11 | − | 1.42896e11i | 0.601701 | − | 0.289764i | ||||
\(839\) | 1.30264e11 | + | 2.70496e11i | 0.262892 | + | 0.545900i | 0.990074 | − | 0.140544i | \(-0.0448851\pi\) |
−0.727183 | + | 0.686444i | \(0.759171\pi\) | |||||||
\(840\) | 8.31817e10 | + | 1.25376e10i | 0.167075 | + | 0.0251825i | ||||
\(841\) | 1.82040e11 | − | 4.63831e11i | 0.363901 | − | 0.927204i | ||||
\(842\) | 2.20304e10 | − | 2.93975e11i | 0.0438302 | − | 0.584874i | ||||
\(843\) | −3.64948e11 | + | 3.93320e11i | −0.722637 | + | 0.778817i | ||||
\(844\) | −6.97351e11 | − | 1.59166e11i | −1.37430 | − | 0.313675i | ||||
\(845\) | 1.17564e10 | + | 7.79989e10i | 0.0230595 | + | 0.152990i | ||||
\(846\) | 9.30630e10 | + | 1.36498e11i | 0.181675 | + | 0.266469i | ||||
\(847\) | 6.88443e10 | − | 2.23188e11i | 0.133762 | − | 0.433647i | ||||
\(848\) | 1.55911e10 | + | 2.08048e11i | 0.0301503 | + | 0.402328i | ||||
\(849\) | −4.86728e10 | − | 3.88152e10i | −0.0936818 | − | 0.0747087i | ||||
\(850\) | −1.34693e11 | − | 4.36663e11i | −0.258029 | − | 0.836509i | ||||
\(851\) | −5.86701e10 | + | 2.30263e10i | −0.111866 | + | 0.0439042i | ||||
\(852\) | 3.47168e11 | + | 1.52104e12i | 0.658841 | + | 2.88657i | ||||
\(853\) | −4.45604e11 | + | 7.71809e11i | −0.841692 | + | 1.45785i | 0.0467707 | + | 0.998906i | \(0.485107\pi\) |
−0.888463 | + | 0.458948i | \(0.848226\pi\) | |||||||
\(854\) | 1.17931e11 | − | 6.80874e10i | 0.221715 | − | 0.128007i | ||||
\(855\) | 6.92848e10 | − | 6.42869e10i | 0.129650 | − | 0.120298i | ||||
\(856\) | 5.76751e11 | − | 4.59943e11i | 1.07422 | − | 0.856662i | ||||
\(857\) | −1.11478e10 | − | 7.60043e9i | −0.0206664 | − | 0.0140901i | 0.552943 | − | 0.833219i | \(-0.313505\pi\) |
−0.573609 | + | 0.819129i | \(0.694457\pi\) | |||||||
\(858\) | −1.03041e12 | − | 4.96219e11i | −1.90134 | − | 0.915638i | ||||
\(859\) | 6.92839e11i | 1.27251i | 0.771481 | + | 0.636253i | \(0.219516\pi\) | ||||
−0.771481 | + | 0.636253i | \(0.780484\pi\) | |||||||
\(860\) | 2.14682e11 | + | 1.42194e11i | 0.392466 | + | 0.259948i | ||||
\(861\) | −9.57387e10 | −0.174211 | ||||||||
\(862\) | −6.00427e11 | + | 1.24680e12i | −1.08750 | + | 2.25823i | ||||
\(863\) | −5.18072e11 | + | 7.59872e11i | −0.934000 | + | 1.36993i | −0.00494330 | + | 0.999988i | \(0.501574\pi\) |
−0.929056 | + | 0.369938i | \(0.879379\pi\) | |||||||
\(864\) | −9.05663e10 | − | 1.13567e11i | −0.162522 | − | 0.203796i | ||||
\(865\) | −8.60045e10 | − | 9.26908e10i | −0.153623 | − | 0.165566i | ||||
\(866\) | 5.48114e11 | + | 9.49362e11i | 0.974540 | + | 1.68795i | ||||
\(867\) | 4.34620e11 | + | 2.50928e11i | 0.769190 | + | 0.444092i | ||||
\(868\) | 2.22660e11 | − | 5.08206e10i | 0.392250 | − | 0.0895285i | ||||
\(869\) | −3.72740e11 | − | 9.49727e11i | −0.653623 | − | 1.66540i | ||||
\(870\) | −2.04575e10 | + | 6.31029e9i | −0.0357088 | + | 0.0110147i | ||||
\(871\) | 1.65098e11 | − | 2.07027e11i | 0.286860 | − | 0.359711i | ||||
\(872\) | −1.27362e12 | + | 9.54450e10i | −2.20280 | + | 0.165077i | ||||
\(873\) | −8.16146e11 | − | 2.51748e11i | −1.40511 | − | 0.433420i | ||||
\(874\) | −1.80688e11 | + | 1.23191e11i | −0.309660 | + | 0.211122i | ||||
\(875\) | −1.18978e11 | + | 1.79330e10i | −0.202971 | + | 0.0305929i | ||||
\(876\) | −6.61312e10 | + | 2.89740e11i | −0.112303 | + | 0.492030i | ||||
\(877\) | −2.12137e11 | − | 1.96834e11i | −0.358606 | − | 0.332738i | 0.480209 | − | 0.877154i | \(-0.340561\pi\) |
−0.838815 | + | 0.544416i | \(0.816751\pi\) | |||||||
\(878\) | 3.04818e11 | + | 2.28429e10i | 0.512935 | + | 0.0384391i | ||||
\(879\) | −3.37417e11 | − | 1.32426e11i | −0.565212 | − | 0.221829i | ||||
\(880\) | 9.09010e9 | − | 6.03089e10i | 0.0151579 | − | 0.100566i | ||||
\(881\) | −5.09789e10 | + | 2.45501e10i | −0.0846227 | + | 0.0407521i | −0.475716 | − | 0.879599i | \(-0.657811\pi\) |
0.391094 | + | 0.920351i | \(0.372097\pi\) | |||||||
\(882\) | −2.74469e11 | − | 5.69941e11i | −0.453543 | − | 0.941792i | ||||
\(883\) | −1.67019e11 | − | 2.51740e10i | −0.274740 | − | 0.0414104i | 0.0102269 | − | 0.999948i | \(-0.496745\pi\) |
−0.284967 | + | 0.958537i | \(0.591983\pi\) | |||||||
\(884\) | −1.45098e11 | + | 3.69703e11i | −0.237603 | + | 0.605402i | ||||
\(885\) | −1.33833e10 | + | 1.78587e11i | −0.0218167 | + | 0.291124i | ||||
\(886\) | −8.29766e11 | + | 8.94275e11i | −1.34654 | + | 1.45123i | ||||
\(887\) | −1.11588e12 | − | 2.54693e11i | −1.80270 | − | 0.411454i | −0.816545 | − | 0.577282i | \(-0.804113\pi\) |
−0.986155 | + | 0.165827i | \(0.946971\pi\) | |||||||
\(888\) | 6.75005e10 | + | 4.47837e11i | 0.108556 | + | 0.720224i | ||||
\(889\) | −6.93706e10 | − | 1.01748e11i | −0.111063 | − | 0.162899i | ||||
\(890\) | −3.80556e10 | + | 1.23373e11i | −0.0606538 | + | 0.196635i | ||||
\(891\) | −8.23116e10 | − | 1.09837e12i | −0.130602 | − | 1.74276i | ||||
\(892\) | 1.04344e12 | + | 8.32118e11i | 1.64820 | + | 1.31439i | ||||
\(893\) | −4.25239e10 | − | 1.37859e11i | −0.0668693 | − | 0.216785i | ||||
\(894\) | −1.79121e12 | + | 7.03000e11i | −2.80413 | + | 1.10054i | ||||
\(895\) | −4.05008e10 | − | 1.77446e11i | −0.0631207 | − | 0.276550i | ||||
\(896\) | 2.22433e11 | − | 3.85266e11i | 0.345118 | − | 0.597762i | ||||
\(897\) | 1.27485e11 | − | 7.36033e10i | 0.196919 | − | 0.113691i | ||||
\(898\) | 9.94583e11 | − | 9.22838e11i | 1.52945 | − | 1.41912i | ||||
\(899\) | −1.91183e10 | + | 1.52463e10i | −0.0292691 | + | 0.0233414i | ||||
\(900\) | 6.47283e11 | + | 4.41310e11i | 0.986561 | + | 0.672626i | ||||
\(901\) | −5.40838e11 | − | 2.60454e11i | −0.820669 | − | 0.395213i | ||||
\(902\) | 5.41720e11i | 0.818368i | ||||||||
\(903\) | 4.60117e9 | + | 3.43515e11i | 0.00692018 | + | 0.516648i | ||||
\(904\) | −8.93268e11 | −1.33754 | ||||||||
\(905\) | −6.31459e10 | + | 1.31124e11i | −0.0941349 | + | 0.195473i | ||||
\(906\) | 1.42512e12 | − | 2.09026e12i | 2.11513 | − | 3.10233i | ||||
\(907\) | 4.71323e10 | + | 5.91021e10i | 0.0696450 | + | 0.0873320i | 0.815434 | − | 0.578851i | \(-0.196499\pi\) |
−0.745789 | + | 0.666183i | \(0.767927\pi\) | |||||||
\(908\) | 1.15345e12 | + | 1.24312e12i | 1.69690 | + | 1.82882i | ||||
\(909\) | 1.77589e11 | + | 3.07593e11i | 0.260112 | + | 0.450527i | ||||
\(910\) | 6.87513e10 | + | 3.96936e10i | 0.100257 | + | 0.0578835i | ||||
\(911\) | 7.58137e11 | − | 1.73040e11i | 1.10071 | − | 0.251231i | 0.366682 | − | 0.930346i | \(-0.380494\pi\) |
0.734031 | + | 0.679116i | \(0.237637\pi\) | |||||||
\(912\) | 7.35632e10 | + | 1.87436e11i | 0.106336 | + | 0.270940i | ||||
\(913\) | 9.88974e11 | − | 3.05058e11i | 1.42332 | − | 0.439035i | ||||
\(914\) | 1.14558e12 | − | 1.43652e12i | 1.64150 | − | 2.05838i | ||||
\(915\) | −9.99443e10 | + | 7.48979e9i | −0.142585 | + | 0.0106853i | ||||
\(916\) | 2.16003e12 | + | 6.66281e11i | 3.06816 | + | 0.946401i | ||||
\(917\) | 3.64993e11 | − | 2.48848e11i | 0.516187 | − | 0.351931i | ||||
\(918\) | −2.21874e11 | + | 3.34422e10i | −0.312418 | + | 0.0470895i | ||||
\(919\) | −1.84023e11 | + | 8.06260e11i | −0.257995 | + | 1.13035i | 0.665397 | + | 0.746490i | \(0.268262\pi\) |
−0.923391 | + | 0.383860i | \(0.874595\pi\) | |||||||
\(920\) | 4.49112e10 | + | 4.16715e10i | 0.0626908 | + | 0.0581685i | ||||
\(921\) | −1.07736e12 | − | 8.07368e10i | −1.49734 | − | 0.112210i | ||||
\(922\) | 1.98304e12 | + | 7.78286e11i | 2.74415 | + | 1.07700i | ||||
\(923\) | −9.23223e10 | + | 6.12519e11i | −0.127204 | + | 0.843942i | ||||
\(924\) | 8.61112e11 | − | 4.14690e11i | 1.18133 | − | 0.568899i | ||||
\(925\) | −1.35106e11 | − | 2.80551e11i | −0.184547 | − | 0.383216i | ||||
\(926\) | 1.19793e11 | + | 1.80558e10i | 0.162924 | + | 0.0245569i | ||||
\(927\) | −1.17599e11 | + | 2.99636e11i | −0.159251 | + | 0.405766i | ||||
\(928\) | −2.71511e9 | + | 3.62307e10i | −0.00366097 | + | 0.0488522i | ||||
\(929\) | −1.02469e11 | + | 1.10435e11i | −0.137572 | + | 0.148267i | −0.798080 | − | 0.602552i | \(-0.794151\pi\) |
0.660508 | + | 0.750819i | \(0.270341\pi\) | |||||||
\(930\) | −2.58810e11 | − | 5.90717e10i | −0.345978 | − | 0.0789673i | ||||
\(931\) | 8.23339e10 | + | 5.46250e11i | 0.109592 | + | 0.727098i | ||||
\(932\) | −2.13818e11 | − | 3.13614e11i | −0.283388 | − | 0.415654i | ||||
\(933\) | −2.28408e11 | + | 7.40480e11i | −0.301429 | + | 0.977208i | ||||
\(934\) | −1.02776e11 | − | 1.37145e12i | −0.135053 | − | 1.80216i | ||||
\(935\) | 1.37199e11 | + | 1.09412e11i | 0.179516 | + | 0.143159i | ||||
\(936\) | −1.33345e11 | − | 4.32292e11i | −0.173729 | − | 0.563215i | ||||
\(937\) | −8.75185e10 | + | 3.43485e10i | −0.113538 | + | 0.0445604i | −0.421430 | − | 0.906861i | \(-0.638472\pi\) |
0.307892 | + | 0.951421i | \(0.400376\pi\) | |||||||
\(938\) | 7.77671e10 | + | 3.40720e11i | 0.100458 | + | 0.440135i | ||||
\(939\) | 3.75542e11 | − | 6.50458e11i | 0.483055 | − | 0.836676i | ||||
\(940\) | −8.31981e10 | + | 4.80344e10i | −0.106562 | + | 0.0615236i | ||||
\(941\) | 9.24035e11 | − | 8.57379e11i | 1.17850 | − | 1.09349i | 0.184646 | − | 0.982805i | \(-0.440886\pi\) |
0.993856 | − | 0.110684i | \(-0.0353042\pi\) | |||||||
\(942\) | −1.83362e11 | + | 1.46226e11i | −0.232866 | + | 0.185704i | ||||
\(943\) | −5.76113e10 | − | 3.92787e10i | −0.0728552 | − | 0.0496719i | ||||
\(944\) | −1.47012e11 | − | 7.07970e10i | −0.185124 | − | 0.0891512i | ||||
\(945\) | 2.83996e10i | 0.0356111i | ||||||||
\(946\) | 1.94371e12 | − | 2.60349e10i | 2.42699 | − | 0.0325080i | ||||
\(947\) | −1.28823e12 | −1.60175 | −0.800873 | − | 0.598834i | \(-0.795631\pi\) | ||||
−0.800873 | + | 0.598834i | \(0.795631\pi\) | |||||||
\(948\) | 9.73186e11 | − | 2.02084e12i | 1.20493 | − | 2.50207i | ||||
\(949\) | −6.64691e10 | + | 9.74922e10i | −0.0819511 | + | 0.120200i | ||||
\(950\) | −6.73642e11 | − | 8.44720e11i | −0.827056 | − | 1.03709i | ||||
\(951\) | −2.52763e11 | − | 2.72414e11i | −0.309024 | − | 0.333048i | ||||
\(952\) | −1.10262e11 | − | 1.90980e11i | −0.134239 | − | 0.232509i | ||||
\(953\) | −6.30025e11 | − | 3.63745e11i | −0.763812 | − | 0.440987i | 0.0668508 | − | 0.997763i | \(-0.478705\pi\) |
−0.830663 | + | 0.556776i | \(0.812038\pi\) | |||||||
\(954\) | 1.58452e12 | − | 3.61656e11i | 1.91295 | − | 0.436619i | ||||
\(955\) | 1.11743e10 | + | 2.84718e10i | 0.0134341 | + | 0.0342295i | ||||
\(956\) | −8.01428e11 | + | 2.47208e11i | −0.959473 | + | 0.295958i | ||||
\(957\) | −6.38037e10 | + | 8.00073e10i | −0.0760673 | + | 0.0953854i | ||||
\(958\) | −1.25704e12 | + | 9.42024e10i | −1.49241 | + | 0.111841i | ||||
\(959\) | 2.13138e11 | + | 6.57443e10i | 0.251992 | + | 0.0777291i | ||||
\(960\) | −3.90066e11 | + | 2.65942e11i | −0.459254 | + | 0.313114i | ||||
\(961\) | 5.43533e11 | − | 8.19244e10i | 0.637283 | − | 0.0960550i | ||||
\(962\) | −9.51072e10 | + | 4.16692e11i | −0.111049 | + | 0.486536i | ||||
\(963\) | −5.39785e11 | − | 5.00848e11i | −0.627648 | − | 0.582372i | ||||
\(964\) | −2.31762e12 | − | 1.73681e11i | −2.68370 | − | 0.201115i | ||||
\(965\) | −3.25630e11 | − | 1.27800e11i | −0.375504 | − | 0.147375i | ||||
\(966\) | −2.89566e10 | + | 1.92115e11i | −0.0332537 | + | 0.220624i | ||||
\(967\) | −9.00686e11 | + | 4.33748e11i | −1.03007 | + | 0.496056i | −0.871037 | − | 0.491217i | \(-0.836552\pi\) |
−0.159034 | + | 0.987273i | \(0.550838\pi\) | |||||||
\(968\) | −5.30354e11 | − | 1.10129e12i | −0.604038 | − | 1.25430i | ||||
\(969\) | −5.72878e11 | − | 8.63474e10i | −0.649781 | − | 0.0979387i | ||||
\(970\) | 2.86566e11 | − | 7.30159e11i | 0.323697 | − | 0.824766i | ||||
\(971\) | −6.64744e10 | + | 8.87039e11i | −0.0747786 | + | 0.997851i | 0.826028 | + | 0.563630i | \(0.190595\pi\) |
−0.900806 | + | 0.434221i | \(0.857024\pi\) | |||||||
\(972\) | 1.29689e12 | − | 1.39771e12i | 1.45290 | − | 1.56586i | ||||
\(973\) | −3.01999e11 | − | 6.89292e10i | −0.336941 | − | 0.0769046i | ||||
\(974\) | 3.31432e11 | + | 2.19890e12i | 0.368263 | + | 2.44327i | ||||
\(975\) | 4.09692e11 | + | 6.00908e11i | 0.453355 | + | 0.664950i | ||||
\(976\) | 2.69160e10 | − | 8.72595e10i | 0.0296627 | − | 0.0961642i | ||||
\(977\) | −8.30015e10 | − | 1.10758e12i | −0.0910978 | − | 1.21562i | −0.836109 | − | 0.548563i | \(-0.815175\pi\) |
0.745011 | − | 0.667052i | \(-0.232444\pi\) | |||||||
\(978\) | −2.26711e12 | − | 1.80796e12i | −2.47809 | − | 1.97621i | ||||
\(979\) | 1.81906e11 | + | 5.89724e11i | 0.198023 | + | 0.641975i | ||||
\(980\) | 3.42430e11 | − | 1.34394e11i | 0.371251 | − | 0.145705i | ||||
\(981\) | 2.83687e11 | + | 1.24292e12i | 0.306312 | + | 1.34204i | ||||
\(982\) | −1.14685e12 | + | 1.98640e12i | −1.23328 | + | 2.13610i | ||||
\(983\) | −4.92549e11 | + | 2.84373e11i | −0.527516 | + | 0.304561i | −0.740004 | − | 0.672602i | \(-0.765177\pi\) |
0.212488 | + | 0.977164i | \(0.431843\pi\) | |||||||
\(984\) | −3.67289e11 | + | 3.40795e11i | −0.391767 | + | 0.363507i | ||||
\(985\) | 3.10242e11 | − | 2.47410e11i | 0.329576 | − | 0.262828i | ||||
\(986\) | 4.63709e10 | + | 3.16151e10i | 0.0490612 | + | 0.0334493i | ||||
\(987\) | −1.15477e11 | − | 5.56108e10i | −0.121682 | − | 0.0585990i | ||||
\(988\) | 9.39030e11i | 0.985488i | ||||||||
\(989\) | −1.38165e11 | + | 2.08600e11i | −0.144415 | + | 0.218036i | ||||
\(990\) | −4.75121e11 | −0.494611 | ||||||||
\(991\) | −3.24293e11 | + | 6.73401e11i | −0.336235 | + | 0.698199i | −0.998704 | − | 0.0508903i | \(-0.983794\pi\) |
0.662470 | + | 0.749089i | \(0.269508\pi\) | |||||||
\(992\) | −2.53786e11 | + | 3.72236e11i | −0.262072 | + | 0.384389i | ||||
\(993\) | 3.49965e11 | + | 4.38843e11i | 0.359938 | + | 0.451348i | ||||
\(994\) | −5.56068e11 | − | 5.99299e11i | −0.569617 | − | 0.613901i | ||||
\(995\) | −2.66456e11 | − | 4.61516e11i | −0.271853 | − | 0.470863i | ||||
\(996\) | 1.97045e12 | + | 1.13764e12i | 2.00230 | + | 1.15603i | ||||
\(997\) | 1.59708e12 | − | 3.64523e11i | 1.61639 | − | 0.368930i | 0.683742 | − | 0.729723i | \(-0.260351\pi\) |
0.932646 | + | 0.360793i | \(0.117494\pi\) | |||||||
\(998\) | −6.40260e11 | − | 1.63136e12i | −0.645408 | − | 1.64447i | ||||
\(999\) | −1.46106e11 | + | 4.50677e10i | −0.146692 | + | 0.0452484i |
(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 | 43.9.h.a.18.4 | yes | 336 | |
43.12 | odd | 42 | inner | 43.9.h.a.12.4 | ✓ | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.9.h.a.12.4 | ✓ | 336 | 43.12 | odd | 42 | inner | |
43.9.h.a.18.4 | yes | 336 | 1.1 | even | 1 | trivial |