Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [24,8,Mod(11,24)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(24, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("24.11");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 24 = 2^{3} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 24.f (of order \(2\), degree \(1\), 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: | \(7.49724061162\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 274 x^{18} + 45864 x^{16} - 5031360 x^{14} + 776389632 x^{12} - 102828146688 x^{10} + 12720367730688 x^{8} + \cdots + 11\!\cdots\!24 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{52}\cdot 3^{20} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 11.5 | ||
Root | \(10.0085 - 5.27546i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 24.11 |
Dual form | 24.8.f.c.11.6 |
$q$-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 \(\left(\mathbb{Z}/24\mathbb{Z}\right)^\times\).
\(n\) | \(7\) | \(13\) | \(17\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −10.0085 | − | 5.27546i | −0.884633 | − | 0.466289i | ||||
\(3\) | −43.1368 | + | 18.0615i | −0.922408 | + | 0.386216i | ||||
\(4\) | 72.3391 | + | 105.599i | 0.565149 | + | 0.824989i | ||||
\(5\) | −277.669 | −0.993417 | −0.496709 | − | 0.867917i | \(-0.665458\pi\) | ||||
−0.496709 | + | 0.867917i | \(0.665458\pi\) | |||||||
\(6\) | 527.016 | + | 46.7976i | 0.996081 | + | 0.0884493i | ||||
\(7\) | 1066.27i | 1.17497i | 0.809236 | + | 0.587484i | \(0.199881\pi\) | ||||
−0.809236 | + | 0.587484i | \(0.800119\pi\) | |||||||
\(8\) | −166.924 | − | 1438.50i | −0.115267 | − | 0.993335i | ||||
\(9\) | 1534.56 | − | 1558.23i | 0.701674 | − | 0.712498i | ||||
\(10\) | 2779.04 | + | 1464.83i | 0.878809 | + | 0.463219i | ||||
\(11\) | − | 5371.77i | − | 1.21687i | −0.793605 | − | 0.608433i | \(-0.791798\pi\) | ||
0.793605 | − | 0.608433i | \(-0.208202\pi\) | |||||||
\(12\) | −5027.75 | − | 3248.62i | −0.839922 | − | 0.542706i | ||||
\(13\) | − | 7990.16i | − | 1.00868i | −0.863505 | − | 0.504341i | \(-0.831736\pi\) | ||
0.863505 | − | 0.504341i | \(-0.168264\pi\) | |||||||
\(14\) | 5625.09 | − | 10671.8i | 0.547874 | − | 1.03941i | ||||
\(15\) | 11977.7 | − | 5015.12i | 0.916336 | − | 0.383674i | ||||
\(16\) | −5918.10 | + | 15277.8i | −0.361212 | + | 0.932484i | ||||
\(17\) | 16288.8i | 0.804116i | 0.915614 | + | 0.402058i | \(0.131705\pi\) | ||||
−0.915614 | + | 0.402058i | \(0.868295\pi\) | |||||||
\(18\) | −23579.0 | + | 7500.03i | −0.952954 | + | 0.303116i | ||||
\(19\) | 45925.3 | 1.53608 | 0.768042 | − | 0.640400i | \(-0.221231\pi\) | ||||
0.768042 | + | 0.640400i | \(0.221231\pi\) | |||||||
\(20\) | −20086.3 | − | 29321.4i | −0.561429 | − | 0.819558i | ||||
\(21\) | −19258.6 | − | 45995.7i | −0.453792 | − | 1.08380i | ||||
\(22\) | −28338.5 | + | 53763.2i | −0.567411 | + | 1.07648i | ||||
\(23\) | 51938.6 | 0.890109 | 0.445054 | − | 0.895504i | \(-0.353184\pi\) | ||||
0.445054 | + | 0.895504i | \(0.353184\pi\) | |||||||
\(24\) | 33182.1 | + | 59037.4i | 0.489965 | + | 0.871742i | ||||
\(25\) | −1025.17 | −0.0131222 | ||||||||
\(26\) | −42151.8 | + | 79969.3i | −0.470337 | + | 0.892312i | ||||
\(27\) | −38051.9 | + | 94933.7i | −0.372052 | + | 0.928212i | ||||
\(28\) | −112597. | + | 77133.4i | −0.969335 | + | 0.664032i | ||||
\(29\) | −25340.1 | −0.192937 | −0.0964686 | − | 0.995336i | \(-0.530755\pi\) | ||||
−0.0964686 | + | 0.995336i | \(0.530755\pi\) | |||||||
\(30\) | −146336. | − | 12994.2i | −0.989524 | − | 0.0878671i | ||||
\(31\) | − | 168492.i | − | 1.01581i | −0.861412 | − | 0.507907i | \(-0.830419\pi\) | ||
0.861412 | − | 0.507907i | \(-0.169581\pi\) | |||||||
\(32\) | 139829. | − | 121687.i | 0.754347 | − | 0.656476i | ||||
\(33\) | 97022.4 | + | 231721.i | 0.469973 | + | 1.12245i | ||||
\(34\) | 85931.0 | − | 163026.i | 0.374950 | − | 0.711347i | ||||
\(35\) | − | 296071.i | − | 1.16723i | ||||||
\(36\) | 275556. | + | 49326.2i | 0.984353 | + | 0.176205i | ||||
\(37\) | − | 240460.i | − | 0.780434i | −0.920723 | − | 0.390217i | \(-0.872400\pi\) | ||
0.920723 | − | 0.390217i | \(-0.127600\pi\) | |||||||
\(38\) | −459643. | − | 242277.i | −1.35887 | − | 0.716258i | ||||
\(39\) | 144315. | + | 344670.i | 0.389569 | + | 0.930416i | ||||
\(40\) | 46349.5 | + | 399427.i | 0.114508 | + | 0.986796i | ||||
\(41\) | − | 247909.i | − | 0.561757i | −0.959743 | − | 0.280879i | \(-0.909374\pi\) | ||
0.959743 | − | 0.280879i | \(-0.0906258\pi\) | |||||||
\(42\) | −49899.1 | + | 561944.i | −0.103925 | + | 1.17036i | ||||
\(43\) | 288474. | 0.553309 | 0.276654 | − | 0.960969i | \(-0.410774\pi\) | ||||
0.276654 | + | 0.960969i | \(0.410774\pi\) | |||||||
\(44\) | 567251. | − | 388589.i | 1.00390 | − | 0.687711i | ||||
\(45\) | −426099. | + | 432672.i | −0.697055 | + | 0.707808i | ||||
\(46\) | −519826. | − | 274000.i | −0.787419 | − | 0.415048i | ||||
\(47\) | 895911. | 1.25870 | 0.629350 | − | 0.777122i | \(-0.283321\pi\) | ||||
0.629350 | + | 0.777122i | \(0.283321\pi\) | |||||||
\(48\) | −20653.0 | − | 765925.i | −0.0269550 | − | 0.999637i | ||||
\(49\) | −313399. | −0.380550 | ||||||||
\(50\) | 10260.4 | + | 5408.23i | 0.0116083 | + | 0.00611872i | ||||
\(51\) | −294202. | − | 702648.i | −0.310563 | − | 0.741723i | ||||
\(52\) | 843749. | − | 578001.i | 0.832150 | − | 0.570056i | ||||
\(53\) | −2.05527e6 | −1.89628 | −0.948140 | − | 0.317854i | \(-0.897038\pi\) | ||||
−0.948140 | + | 0.317854i | \(0.897038\pi\) | |||||||
\(54\) | 881660. | − | 749400.i | 0.761944 | − | 0.647643i | ||||
\(55\) | 1.49157e6i | 1.20886i | ||||||||
\(56\) | 1.53384e6 | − | 177987.i | 1.16714 | − | 0.135434i | ||||
\(57\) | −1.98107e6 | + | 829482.i | −1.41690 | + | 0.593260i | ||||
\(58\) | 253616. | + | 133681.i | 0.170678 | + | 0.0899644i | ||||
\(59\) | − | 574079.i | − | 0.363906i | −0.983307 | − | 0.181953i | \(-0.941758\pi\) | ||
0.983307 | − | 0.181953i | \(-0.0582419\pi\) | |||||||
\(60\) | 1.39605e6 | + | 902041.i | 0.834393 | + | 0.539134i | ||||
\(61\) | − | 1.45277e6i | − | 0.819489i | −0.912200 | − | 0.409745i | \(-0.865618\pi\) | ||
0.912200 | − | 0.409745i | \(-0.134382\pi\) | |||||||
\(62\) | −888874. | + | 1.68635e6i | −0.473663 | + | 0.898622i | ||||
\(63\) | 1.66150e6 | + | 1.63626e6i | 0.837162 | + | 0.824445i | ||||
\(64\) | −2.04142e6 | + | 480240.i | −0.973427 | + | 0.228996i | ||||
\(65\) | 2.21862e6i | 1.00204i | ||||||||
\(66\) | 251386. | − | 2.83101e6i | 0.107631 | − | 1.21210i | ||||
\(67\) | −209469. | −0.0850861 | −0.0425431 | − | 0.999095i | \(-0.513546\pi\) | ||||
−0.0425431 | + | 0.999095i | \(0.513546\pi\) | |||||||
\(68\) | −1.72008e6 | + | 1.17832e6i | −0.663387 | + | 0.454446i | ||||
\(69\) | −2.24046e6 | + | 938092.i | −0.821044 | + | 0.343774i | ||||
\(70\) | −1.56191e6 | + | 2.96322e6i | −0.544268 | + | 1.03257i | ||||
\(71\) | −622084. | −0.206274 | −0.103137 | − | 0.994667i | \(-0.532888\pi\) | ||||
−0.103137 | + | 0.994667i | \(0.532888\pi\) | |||||||
\(72\) | −2.49768e6 | − | 1.94736e6i | −0.788628 | − | 0.614870i | ||||
\(73\) | 4.04297e6 | 1.21638 | 0.608192 | − | 0.793790i | \(-0.291895\pi\) | ||||
0.608192 | + | 0.793790i | \(0.291895\pi\) | |||||||
\(74\) | −1.26853e6 | + | 2.40663e6i | −0.363908 | + | 0.690397i | ||||
\(75\) | 44222.5 | − | 18516.1i | 0.0121040 | − | 0.00506799i | ||||
\(76\) | 3.32220e6 | + | 4.84965e6i | 0.868116 | + | 1.26725i | ||||
\(77\) | 5.72778e6 | 1.42978 | ||||||||
\(78\) | 373921. | − | 4.21094e6i | 0.0892172 | − | 1.00473i | ||||
\(79\) | − | 7.77147e6i | − | 1.77341i | −0.462340 | − | 0.886703i | \(-0.652990\pi\) | ||
0.462340 | − | 0.886703i | \(-0.347010\pi\) | |||||||
\(80\) | 1.64327e6 | − | 4.24217e6i | 0.358835 | − | 0.926345i | ||||
\(81\) | −73212.3 | − | 4.78241e6i | −0.0153069 | − | 0.999883i | ||||
\(82\) | −1.30783e6 | + | 2.48119e6i | −0.261941 | + | 0.496949i | ||||
\(83\) | 3.75733e6i | 0.721283i | 0.932705 | + | 0.360641i | \(0.117442\pi\) | ||||
−0.932705 | + | 0.360641i | \(0.882558\pi\) | |||||||
\(84\) | 3.46393e6 | − | 5.36096e6i | 0.637663 | − | 0.986882i | ||||
\(85\) | − | 4.52290e6i | − | 0.798823i | ||||||
\(86\) | −2.88719e6 | − | 1.52183e6i | −0.489475 | − | 0.258002i | ||||
\(87\) | 1.09309e6 | − | 457682.i | 0.177967 | − | 0.0745154i | ||||
\(88\) | −7.72730e6 | + | 896675.i | −1.20875 | + | 0.140264i | ||||
\(89\) | − | 3.64625e6i | − | 0.548253i | −0.961694 | − | 0.274126i | \(-0.911611\pi\) | ||
0.961694 | − | 0.274126i | \(-0.0883887\pi\) | |||||||
\(90\) | 6.54715e6 | − | 2.08252e6i | 0.946681 | − | 0.301121i | ||||
\(91\) | 8.51971e6 | 1.18517 | ||||||||
\(92\) | 3.75719e6 | + | 5.48464e6i | 0.503044 | + | 0.734329i | ||||
\(93\) | 3.04323e6 | + | 7.26821e6i | 0.392324 | + | 0.936995i | ||||
\(94\) | −8.96670e6 | − | 4.72634e6i | −1.11349 | − | 0.586918i | ||||
\(95\) | −1.27520e7 | −1.52597 | ||||||||
\(96\) | −3.83390e6 | + | 7.77470e6i | −0.442274 | + | 0.896880i | ||||
\(97\) | 220958. | 0.0245815 | 0.0122908 | − | 0.999924i | \(-0.496088\pi\) | ||||
0.0122908 | + | 0.999924i | \(0.496088\pi\) | |||||||
\(98\) | 3.13665e6 | + | 1.65332e6i | 0.336647 | + | 0.177446i | ||||
\(99\) | −8.37046e6 | − | 8.24330e6i | −0.867015 | − | 0.853843i | ||||
\(100\) | −74159.8 | − | 108256.i | −0.00741598 | − | 0.0108256i | ||||
\(101\) | 1.07470e7 | 1.03791 | 0.518957 | − | 0.854800i | \(-0.326320\pi\) | ||||
0.518957 | + | 0.854800i | \(0.326320\pi\) | |||||||
\(102\) | −762279. | + | 8.58448e6i | −0.0711235 | + | 0.800965i | ||||
\(103\) | − | 7.49934e6i | − | 0.676227i | −0.941105 | − | 0.338114i | \(-0.890211\pi\) | ||
0.941105 | − | 0.338114i | \(-0.109789\pi\) | |||||||
\(104\) | −1.14939e7 | + | 1.33375e6i | −1.00196 | + | 0.116267i | ||||
\(105\) | 5.34750e6 | + | 1.27715e7i | 0.450804 | + | 1.07667i | ||||
\(106\) | 2.05701e7 | + | 1.08425e7i | 1.67751 | + | 0.884214i | ||||
\(107\) | 2.11831e7i | 1.67165i | 0.548995 | + | 0.835825i | \(0.315010\pi\) | ||||
−0.548995 | + | 0.835825i | \(0.684990\pi\) | |||||||
\(108\) | −1.27775e7 | + | 2.84919e6i | −0.976029 | + | 0.217640i | ||||
\(109\) | 3.25125e6i | 0.240468i | 0.992746 | + | 0.120234i | \(0.0383645\pi\) | ||||
−0.992746 | + | 0.120234i | \(0.961635\pi\) | |||||||
\(110\) | 7.86872e6 | − | 1.49283e7i | 0.563676 | − | 1.06939i | ||||
\(111\) | 4.34307e6 | + | 1.03727e7i | 0.301416 | + | 0.719879i | ||||
\(112\) | −1.62903e7 | − | 6.31032e6i | −1.09564 | − | 0.424413i | ||||
\(113\) | − | 1.41835e7i | − | 0.924719i | −0.886693 | − | 0.462359i | \(-0.847003\pi\) | ||
0.886693 | − | 0.462359i | \(-0.152997\pi\) | |||||||
\(114\) | 2.42034e7 | + | 2.14920e6i | 1.53006 | + | 0.135866i | ||||
\(115\) | −1.44217e7 | −0.884249 | ||||||||
\(116\) | −1.83308e6 | − | 2.67588e6i | −0.109038 | − | 0.159171i | ||||
\(117\) | −1.24505e7 | − | 1.22614e7i | −0.718683 | − | 0.707765i | ||||
\(118\) | −3.02853e6 | + | 5.74565e6i | −0.169685 | + | 0.321923i | ||||
\(119\) | −1.73684e7 | −0.944811 | ||||||||
\(120\) | −9.21363e6 | − | 1.63928e7i | −0.486739 | − | 0.866004i | ||||
\(121\) | −9.36870e6 | −0.480763 | ||||||||
\(122\) | −7.66404e6 | + | 1.45400e7i | −0.382119 | + | 0.724947i | ||||
\(123\) | 4.47762e6 | + | 1.06940e7i | 0.216960 | + | 0.518169i | ||||
\(124\) | 1.77925e7 | − | 1.21886e7i | 0.838035 | − | 0.574086i | ||||
\(125\) | 2.19775e7 | 1.00645 | ||||||||
\(126\) | −7.99709e6 | − | 2.51417e7i | −0.356152 | − | 1.11969i | ||||
\(127\) | 2.47641e7i | 1.07278i | 0.843970 | + | 0.536390i | \(0.180212\pi\) | ||||
−0.843970 | + | 0.536390i | \(0.819788\pi\) | |||||||
\(128\) | 2.29650e7 | + | 5.96297e6i | 0.967904 | + | 0.251321i | ||||
\(129\) | −1.24438e7 | + | 5.21029e6i | −0.510377 | + | 0.213697i | ||||
\(130\) | 1.17042e7 | − | 2.22050e7i | 0.467241 | − | 0.886438i | ||||
\(131\) | − | 3.82180e7i | − | 1.48532i | −0.669671 | − | 0.742658i | \(-0.733565\pi\) | ||
0.669671 | − | 0.742658i | \(-0.266435\pi\) | |||||||
\(132\) | −1.74508e7 | + | 2.70079e7i | −0.660401 | + | 1.02207i | ||||
\(133\) | 4.89690e7i | 1.80485i | ||||||||
\(134\) | 2.09647e6 | + | 1.10505e6i | 0.0752699 | + | 0.0396747i | ||||
\(135\) | 1.05658e7 | − | 2.63601e7i | 0.369603 | − | 0.922102i | ||||
\(136\) | 2.34315e7 | − | 2.71899e6i | 0.798756 | − | 0.0926877i | ||||
\(137\) | − | 4.05577e7i | − | 1.34757i | −0.738927 | − | 0.673785i | \(-0.764667\pi\) | ||
0.738927 | − | 0.673785i | \(-0.235333\pi\) | |||||||
\(138\) | 2.73725e7 | + | 2.43060e6i | 0.886620 | + | 0.0787295i | ||||
\(139\) | 137608. | 0.00434603 | 0.00217301 | − | 0.999998i | \(-0.499308\pi\) | ||||
0.00217301 | + | 0.999998i | \(0.499308\pi\) | |||||||
\(140\) | 3.12647e7 | − | 2.14175e7i | 0.962954 | − | 0.659661i | ||||
\(141\) | −3.86467e7 | + | 1.61815e7i | −1.16104 | + | 0.486130i | ||||
\(142\) | 6.22611e6 | + | 3.28178e6i | 0.182477 | + | 0.0961834i | ||||
\(143\) | −4.29213e7 | −1.22743 | ||||||||
\(144\) | 1.47247e7 | + | 3.26665e7i | 0.410939 | + | 0.911663i | ||||
\(145\) | 7.03616e6 | 0.191667 | ||||||||
\(146\) | −4.04640e7 | − | 2.13285e7i | −1.07605 | − | 0.567187i | ||||
\(147\) | 1.35190e7 | − | 5.66047e6i | 0.351022 | − | 0.146974i | ||||
\(148\) | 2.53922e7 | − | 1.73946e7i | 0.643849 | − | 0.441062i | ||||
\(149\) | 3.84188e7 | 0.951463 | 0.475731 | − | 0.879591i | \(-0.342183\pi\) | ||||
0.475731 | + | 0.879591i | \(0.342183\pi\) | |||||||
\(150\) | −540280. | − | 47975.5i | −0.0130707 | − | 0.00116065i | ||||
\(151\) | 1.59332e7i | 0.376604i | 0.982111 | + | 0.188302i | \(0.0602983\pi\) | ||||
−0.982111 | + | 0.188302i | \(0.939702\pi\) | |||||||
\(152\) | −7.66603e6 | − | 6.60637e7i | −0.177059 | − | 1.52584i | ||||
\(153\) | 2.53818e7 | + | 2.49962e7i | 0.572931 | + | 0.564228i | ||||
\(154\) | −5.73263e7 | − | 3.02166e7i | −1.26483 | − | 0.666690i | ||||
\(155\) | 4.67850e7i | 1.00913i | ||||||||
\(156\) | −2.59570e7 | + | 4.01725e7i | −0.547418 | + | 0.847214i | ||||
\(157\) | − | 7.83329e7i | − | 1.61546i | −0.589555 | − | 0.807728i | \(-0.700697\pi\) | ||
0.589555 | − | 0.807728i | \(-0.299303\pi\) | |||||||
\(158\) | −4.09980e7 | + | 7.77805e7i | −0.826919 | + | 1.56881i | ||||
\(159\) | 8.86575e7 | − | 3.71213e7i | 1.74914 | − | 0.732374i | ||||
\(160\) | −3.88260e7 | + | 3.37886e7i | −0.749381 | + | 0.652155i | ||||
\(161\) | 5.53808e7i | 1.04585i | ||||||||
\(162\) | −2.44966e7 | + | 4.82508e7i | −0.452693 | + | 0.891666i | ||||
\(163\) | −4.68043e7 | −0.846505 | −0.423252 | − | 0.906012i | \(-0.639112\pi\) | ||||
−0.423252 | + | 0.906012i | \(0.639112\pi\) | |||||||
\(164\) | 2.61788e7 | − | 1.79335e7i | 0.463443 | − | 0.317477i | ||||
\(165\) | −2.69401e7 | − | 6.43415e7i | −0.466880 | − | 1.11506i | ||||
\(166\) | 1.98216e7 | − | 3.76051e7i | 0.336326 | − | 0.638070i | ||||
\(167\) | 5.53695e7 | 0.919947 | 0.459973 | − | 0.887933i | \(-0.347859\pi\) | ||||
0.459973 | + | 0.887933i | \(0.347859\pi\) | |||||||
\(168\) | −6.29501e7 | + | 3.53813e7i | −1.02427 | + | 0.575693i | ||||
\(169\) | −1.09418e6 | −0.0174376 | ||||||||
\(170\) | −2.38603e7 | + | 4.52673e7i | −0.372482 | + | 0.706665i | ||||
\(171\) | 7.04752e7 | − | 7.15624e7i | 1.07783 | − | 1.09446i | ||||
\(172\) | 2.08680e7 | + | 3.04625e7i | 0.312702 | + | 0.456473i | ||||
\(173\) | −6.23040e7 | −0.914860 | −0.457430 | − | 0.889246i | \(-0.651230\pi\) | ||||
−0.457430 | + | 0.889246i | \(0.651230\pi\) | |||||||
\(174\) | −1.33547e7 | − | 1.18586e6i | −0.192181 | − | 0.0170652i | ||||
\(175\) | − | 1.09311e6i | − | 0.0154181i | ||||||
\(176\) | 8.20688e7 | + | 3.17907e7i | 1.13471 | + | 0.439547i | ||||
\(177\) | 1.03687e7 | + | 2.47639e7i | 0.140546 | + | 0.335670i | ||||
\(178\) | −1.92356e7 | + | 3.64934e7i | −0.255644 | + | 0.485002i | ||||
\(179\) | 3.51611e7i | 0.458223i | 0.973400 | + | 0.229111i | \(0.0735820\pi\) | ||||
−0.973400 | + | 0.229111i | \(0.926418\pi\) | |||||||
\(180\) | −7.65132e7 | − | 1.36963e7i | −0.977874 | − | 0.175045i | ||||
\(181\) | 2.24187e7i | 0.281019i | 0.990079 | + | 0.140510i | \(0.0448741\pi\) | ||||
−0.990079 | + | 0.140510i | \(0.955126\pi\) | |||||||
\(182\) | −8.52693e7 | − | 4.49454e7i | −1.04844 | − | 0.552631i | ||||
\(183\) | 2.62393e7 | + | 6.26679e7i | 0.316500 | + | 0.755904i | ||||
\(184\) | −8.66979e6 | − | 7.47138e7i | −0.102600 | − | 0.884176i | ||||
\(185\) | 6.67681e7i | 0.775297i | ||||||||
\(186\) | 7.88504e6 | − | 8.87981e7i | 0.0898480 | − | 1.01183i | ||||
\(187\) | 8.74998e7 | 0.978502 | ||||||||
\(188\) | 6.48094e7 | + | 9.46069e7i | 0.711353 | + | 1.03841i | ||||
\(189\) | −1.01225e8 | − | 4.05738e7i | −1.09062 | − | 0.437149i | ||||
\(190\) | 1.27628e8 | + | 6.72727e7i | 1.34992 | + | 0.711544i | ||||
\(191\) | 8.13272e6 | 0.0844538 | 0.0422269 | − | 0.999108i | \(-0.486555\pi\) | ||||
0.0422269 | + | 0.999108i | \(0.486555\pi\) | |||||||
\(192\) | 7.93866e7 | − | 5.75873e7i | 0.809455 | − | 0.587182i | ||||
\(193\) | −1.30873e8 | −1.31039 | −0.655195 | − | 0.755460i | \(-0.727414\pi\) | ||||
−0.655195 | + | 0.755460i | \(0.727414\pi\) | |||||||
\(194\) | −2.21145e6 | − | 1.16566e6i | −0.0217456 | − | 0.0114621i | ||||
\(195\) | −4.00716e7 | − | 9.57040e7i | −0.387005 | − | 0.924291i | ||||
\(196\) | −2.26710e7 | − | 3.30945e7i | −0.215067 | − | 0.313949i | ||||
\(197\) | 1.21828e7 | 0.113531 | 0.0567655 | − | 0.998388i | \(-0.481921\pi\) | ||||
0.0567655 | + | 0.998388i | \(0.481921\pi\) | |||||||
\(198\) | 4.02884e7 | + | 1.26661e8i | 0.368852 | + | 1.15962i | ||||
\(199\) | 7.30246e7i | 0.656876i | 0.944526 | + | 0.328438i | \(0.106522\pi\) | ||||
−0.944526 | + | 0.328438i | \(0.893478\pi\) | |||||||
\(200\) | 171125. | + | 1.47471e6i | 0.00151255 | + | 0.0130347i | ||||
\(201\) | 9.03583e6 | − | 3.78334e6i | 0.0784841 | − | 0.0328616i | ||||
\(202\) | −1.07561e8 | − | 5.66952e7i | −0.918173 | − | 0.483968i | ||||
\(203\) | − | 2.70195e7i | − | 0.226695i | ||||||
\(204\) | 5.29163e7 | − | 8.18962e7i | 0.436399 | − | 0.675395i | ||||
\(205\) | 6.88365e7i | 0.558059i | ||||||||
\(206\) | −3.95624e7 | + | 7.50569e7i | −0.315317 | + | 0.598213i | ||||
\(207\) | 7.97030e7 | − | 8.09325e7i | 0.624566 | − | 0.634201i | ||||
\(208\) | 1.22072e8 | + | 4.72866e7i | 0.940579 | + | 0.364348i | ||||
\(209\) | − | 2.46700e8i | − | 1.86921i | ||||||
\(210\) | 1.38554e7 | − | 1.56034e8i | 0.103241 | − | 1.16266i | ||||
\(211\) | 3.19442e7 | 0.234101 | 0.117051 | − | 0.993126i | \(-0.462656\pi\) | ||||
0.117051 | + | 0.993126i | \(0.462656\pi\) | |||||||
\(212\) | −1.48676e8 | − | 2.17033e8i | −1.07168 | − | 1.56441i | ||||
\(213\) | 2.68347e7 | − | 1.12358e7i | 0.190269 | − | 0.0796664i | ||||
\(214\) | 1.11750e8 | − | 2.12010e8i | 0.779472 | − | 1.47880i | ||||
\(215\) | −8.01002e7 | −0.549666 | ||||||||
\(216\) | 1.42914e8 | + | 3.88911e7i | 0.964910 | + | 0.262580i | ||||
\(217\) | 1.79659e8 | 1.19355 | ||||||||
\(218\) | 1.71518e7 | − | 3.25400e7i | 0.112128 | − | 0.212726i | ||||
\(219\) | −1.74401e8 | + | 7.30224e7i | −1.12200 | + | 0.469788i | ||||
\(220\) | −1.57508e8 | + | 1.07899e8i | −0.997292 | + | 0.683184i | ||||
\(221\) | 1.30150e8 | 0.811097 | ||||||||
\(222\) | 1.12529e7 | − | 1.26726e8i | 0.0690288 | − | 0.777375i | ||||
\(223\) | 9.50382e6i | 0.0573893i | 0.999588 | + | 0.0286947i | \(0.00913505\pi\) | ||||
−0.999588 | + | 0.0286947i | \(0.990865\pi\) | |||||||
\(224\) | 1.29752e8 | + | 1.49096e8i | 0.771338 | + | 0.886333i | ||||
\(225\) | −1.57318e6 | + | 1.59745e6i | −0.00920748 | + | 0.00934951i | ||||
\(226\) | −7.48246e7 | + | 1.41955e8i | −0.431186 | + | 0.818036i | ||||
\(227\) | 7.02395e7i | 0.398557i | 0.979943 | + | 0.199279i | \(0.0638599\pi\) | ||||
−0.979943 | + | 0.199279i | \(0.936140\pi\) | |||||||
\(228\) | −2.30901e8 | − | 1.49194e8i | −1.29019 | − | 0.833642i | ||||
\(229\) | 1.17776e8i | 0.648088i | 0.946042 | + | 0.324044i | \(0.105043\pi\) | ||||
−0.946042 | + | 0.324044i | \(0.894957\pi\) | |||||||
\(230\) | 1.44339e8 | + | 7.60812e7i | 0.782236 | + | 0.412316i | ||||
\(231\) | −2.47078e8 | + | 1.03453e8i | −1.31884 | + | 0.552204i | ||||
\(232\) | 4.22987e6 | + | 3.64518e7i | 0.0222392 | + | 0.191651i | ||||
\(233\) | 2.28569e8i | 1.18378i | 0.806017 | + | 0.591892i | \(0.201619\pi\) | ||||
−0.806017 | + | 0.591892i | \(0.798381\pi\) | |||||||
\(234\) | 5.99264e7 | + | 1.88400e8i | 0.305747 | + | 0.961226i | ||||
\(235\) | −2.48766e8 | −1.25041 | ||||||||
\(236\) | 6.06219e7 | − | 4.15283e7i | 0.300218 | − | 0.205661i | ||||
\(237\) | 1.40365e8 | + | 3.35236e8i | 0.684918 | + | 1.63580i | ||||
\(238\) | 1.73831e8 | + | 9.16261e7i | 0.835810 | + | 0.440555i | ||||
\(239\) | −3.68790e8 | −1.74737 | −0.873687 | − | 0.486488i | \(-0.838278\pi\) | ||||
−0.873687 | + | 0.486488i | \(0.838278\pi\) | |||||||
\(240\) | 5.73470e6 | + | 2.12673e8i | 0.0267776 | + | 0.993056i | ||||
\(241\) | −2.08742e8 | −0.960615 | −0.480307 | − | 0.877100i | \(-0.659475\pi\) | ||||
−0.480307 | + | 0.877100i | \(0.659475\pi\) | |||||||
\(242\) | 9.37664e7 | + | 4.94242e7i | 0.425298 | + | 0.224174i | ||||
\(243\) | 8.95358e7 | + | 2.04975e8i | 0.400290 | + | 0.916388i | ||||
\(244\) | 1.53411e8 | − | 1.05092e8i | 0.676069 | − | 0.463134i | ||||
\(245\) | 8.70211e7 | 0.378045 | ||||||||
\(246\) | 1.16015e7 | − | 1.30652e8i | 0.0496870 | − | 0.559555i | ||||
\(247\) | − | 3.66951e8i | − | 1.54942i | ||||||
\(248\) | −2.42376e8 | + | 2.81254e7i | −1.00904 | + | 0.117089i | ||||
\(249\) | −6.78631e7 | − | 1.62079e8i | −0.278571 | − | 0.665317i | ||||
\(250\) | −2.19961e8 | − | 1.15941e8i | −0.890341 | − | 0.469298i | ||||
\(251\) | − | 9.64416e7i | − | 0.384952i | −0.981302 | − | 0.192476i | \(-0.938348\pi\) | ||
0.981302 | − | 0.192476i | \(-0.0616517\pi\) | |||||||
\(252\) | −5.25953e7 | + | 2.93818e8i | −0.207036 | + | 1.15658i | ||||
\(253\) | − | 2.79002e8i | − | 1.08314i | ||||||
\(254\) | 1.30642e8 | − | 2.47851e8i | 0.500225 | − | 0.949015i | ||||
\(255\) | 8.16905e7 | + | 1.95103e8i | 0.308518 | + | 0.736841i | ||||
\(256\) | −1.98388e8 | − | 1.80831e8i | −0.739051 | − | 0.673649i | ||||
\(257\) | − | 2.25242e8i | − | 0.827722i | −0.910340 | − | 0.413861i | \(-0.864180\pi\) | ||
0.910340 | − | 0.413861i | \(-0.135820\pi\) | |||||||
\(258\) | 1.52031e8 | + | 1.34999e7i | 0.551140 | + | 0.0489398i | ||||
\(259\) | 2.56396e8 | 0.916985 | ||||||||
\(260\) | −2.34283e8 | + | 1.60493e8i | −0.826673 | + | 0.566303i | ||||
\(261\) | −3.88860e7 | + | 3.94858e7i | −0.135379 | + | 0.137467i | ||||
\(262\) | −2.01618e8 | + | 3.82504e8i | −0.692586 | + | 1.31396i | ||||
\(263\) | 3.53597e8 | 1.19857 | 0.599284 | − | 0.800536i | \(-0.295452\pi\) | ||||
0.599284 | + | 0.800536i | \(0.295452\pi\) | |||||||
\(264\) | 3.17135e8 | − | 1.78247e8i | 1.06079 | − | 0.596221i | ||||
\(265\) | 5.70683e8 | 1.88380 | ||||||||
\(266\) | 2.58334e8 | − | 4.90105e8i | 0.841581 | − | 1.59663i | ||||
\(267\) | 6.58568e7 | + | 1.57287e8i | 0.211744 | + | 0.505713i | ||||
\(268\) | −1.51528e7 | − | 2.21197e7i | −0.0480864 | − | 0.0701951i | ||||
\(269\) | 8.91983e7 | 0.279398 | 0.139699 | − | 0.990194i | \(-0.455386\pi\) | ||||
0.139699 | + | 0.990194i | \(0.455386\pi\) | |||||||
\(270\) | −2.44809e8 | + | 2.08085e8i | −0.756928 | + | 0.643380i | ||||
\(271\) | − | 1.70785e8i | − | 0.521264i | −0.965438 | − | 0.260632i | \(-0.916069\pi\) | ||
0.965438 | − | 0.260632i | \(-0.0839309\pi\) | |||||||
\(272\) | −2.48858e8 | − | 9.63990e7i | −0.749825 | − | 0.290457i | ||||
\(273\) | −3.67513e8 | + | 1.53879e8i | −1.09321 | + | 0.457731i | ||||
\(274\) | −2.13960e8 | + | 4.05921e8i | −0.628357 | + | 1.19210i | ||||
\(275\) | 5.50697e6i | 0.0159679i | ||||||||
\(276\) | −2.61134e8 | − | 1.68729e8i | −0.747622 | − | 0.483068i | ||||
\(277\) | − | 3.99072e8i | − | 1.12816i | −0.825719 | − | 0.564082i | \(-0.809230\pi\) | ||
0.825719 | − | 0.564082i | \(-0.190770\pi\) | |||||||
\(278\) | −1.37725e6 | − | 725946.i | −0.00384464 | − | 0.00202651i | ||||
\(279\) | −2.62550e8 | − | 2.58562e8i | −0.723765 | − | 0.712770i | ||||
\(280\) | −4.25899e8 | + | 4.94213e7i | −1.15945 | + | 0.134543i | ||||
\(281\) | − | 1.75976e8i | − | 0.473131i | −0.971616 | − | 0.236565i | \(-0.923978\pi\) | ||
0.971616 | − | 0.236565i | \(-0.0760217\pi\) | |||||||
\(282\) | 4.72159e8 | + | 4.19265e7i | 1.25377 | + | 0.111331i | ||||
\(283\) | 1.29971e8 | 0.340873 | 0.170436 | − | 0.985369i | \(-0.445482\pi\) | ||||
0.170436 | + | 0.985369i | \(0.445482\pi\) | |||||||
\(284\) | −4.50010e7 | − | 6.56912e7i | −0.116576 | − | 0.170174i | ||||
\(285\) | 5.50081e8 | − | 2.30321e8i | 1.40757 | − | 0.589355i | ||||
\(286\) | 4.29577e8 | + | 2.26429e8i | 1.08582 | + | 0.572337i | ||||
\(287\) | 2.64339e8 | 0.660047 | ||||||||
\(288\) | 2.49590e7 | − | 4.04622e8i | 0.0615678 | − | 0.998103i | ||||
\(289\) | 1.45013e8 | 0.353397 | ||||||||
\(290\) | −7.04212e7 | − | 3.71189e7i | −0.169555 | − | 0.0893722i | ||||
\(291\) | −9.53142e6 | + | 3.99085e6i | −0.0226742 | + | 0.00949379i | ||||
\(292\) | 2.92465e8 | + | 4.26932e8i | 0.687439 | + | 1.00350i | ||||
\(293\) | −5.26105e8 | −1.22190 | −0.610950 | − | 0.791669i | \(-0.709212\pi\) | ||||
−0.610950 | + | 0.791669i | \(0.709212\pi\) | |||||||
\(294\) | −1.65166e8 | − | 1.46663e7i | −0.379058 | − | 0.0336594i | ||||
\(295\) | 1.59404e8i | 0.361511i | ||||||||
\(296\) | −3.45902e8 | + | 4.01384e7i | −0.775232 | + | 0.0899579i | ||||
\(297\) | 5.09962e8 | + | 2.04406e8i | 1.12951 | + | 0.452737i | ||||
\(298\) | −3.84514e8 | − | 2.02677e8i | −0.841695 | − | 0.443657i | ||||
\(299\) | − | 4.14998e8i | − | 0.897836i | ||||||
\(300\) | 5.15429e6 | + | 3.33039e6i | 0.0110216 | + | 0.00712148i | ||||
\(301\) | 3.07593e8i | 0.650120i | ||||||||
\(302\) | 8.40551e7 | − | 1.59467e8i | 0.175606 | − | 0.333156i | ||||
\(303\) | −4.63590e8 | + | 1.94107e8i | −0.957381 | + | 0.400859i | ||||
\(304\) | −2.71791e8 | + | 7.01639e8i | −0.554852 | + | 1.43237i | ||||
\(305\) | 4.03389e8i | 0.814095i | ||||||||
\(306\) | −1.22167e8 | − | 3.84075e8i | −0.243741 | − | 0.766285i | ||||
\(307\) | 3.90214e7 | 0.0769695 | 0.0384848 | − | 0.999259i | \(-0.487747\pi\) | ||||
0.0384848 | + | 0.999259i | \(0.487747\pi\) | |||||||
\(308\) | 4.14343e8 | + | 6.04845e8i | 0.808038 | + | 1.17955i | ||||
\(309\) | 1.35450e8 | + | 3.23497e8i | 0.261170 | + | 0.623758i | ||||
\(310\) | 2.46812e8 | − | 4.68247e8i | 0.470545 | − | 0.892706i | ||||
\(311\) | 5.52970e8 | 1.04241 | 0.521207 | − | 0.853430i | \(-0.325482\pi\) | ||||
0.521207 | + | 0.853430i | \(0.325482\pi\) | |||||||
\(312\) | 4.71719e8 | − | 2.65131e8i | 0.879310 | − | 0.494218i | ||||
\(313\) | −3.46680e8 | −0.639034 | −0.319517 | − | 0.947581i | \(-0.603521\pi\) | ||||
−0.319517 | + | 0.947581i | \(0.603521\pi\) | |||||||
\(314\) | −4.13242e8 | + | 7.83993e8i | −0.753270 | + | 1.42909i | ||||
\(315\) | −4.61348e8 | − | 4.54339e8i | −0.831652 | − | 0.819018i | ||||
\(316\) | 8.20655e8 | − | 5.62181e8i | 1.46304 | − | 1.00224i | ||||
\(317\) | −3.95280e8 | −0.696943 | −0.348471 | − | 0.937319i | \(-0.613299\pi\) | ||||
−0.348471 | + | 0.937319i | \(0.613299\pi\) | |||||||
\(318\) | −1.08316e9 | − | 9.61815e7i | −1.88885 | − | 0.167725i | ||||
\(319\) | 1.36121e8i | 0.234779i | ||||||||
\(320\) | 5.66840e8 | − | 1.33348e8i | 0.967019 | − | 0.227489i | ||||
\(321\) | −3.82599e8 | − | 9.13769e8i | −0.645619 | − | 1.54194i | ||||
\(322\) | 2.92159e8 | − | 5.54278e8i | 0.487668 | − | 0.925192i | ||||
\(323\) | 7.48070e8i | 1.23519i | ||||||||
\(324\) | 4.99719e8 | − | 3.53686e8i | 0.816241 | − | 0.577711i | ||||
\(325\) | 8.19126e6i | 0.0132361i | ||||||||
\(326\) | 4.68440e8 | + | 2.46914e8i | 0.748846 | + | 0.394716i | ||||
\(327\) | −5.87226e7 | − | 1.40248e8i | −0.0928727 | − | 0.221810i | ||||
\(328\) | −3.56617e8 | + | 4.13819e7i | −0.558013 | + | 0.0647518i | ||||
\(329\) | 9.55287e8i | 1.47893i | ||||||||
\(330\) | −6.98020e7 | + | 7.86082e8i | −0.106922 | + | 1.20412i | ||||
\(331\) | −2.91427e8 | −0.441704 | −0.220852 | − | 0.975307i | \(-0.570884\pi\) | ||||
−0.220852 | + | 0.975307i | \(0.570884\pi\) | |||||||
\(332\) | −3.96768e8 | + | 2.71802e8i | −0.595050 | + | 0.407632i | ||||
\(333\) | −3.74692e8 | − | 3.69000e8i | −0.556058 | − | 0.547610i | ||||
\(334\) | −5.54164e8 | − | 2.92099e8i | −0.813815 | − | 0.428961i | ||||
\(335\) | 5.81631e7 | 0.0845260 | ||||||||
\(336\) | 8.16687e8 | − | 2.20218e7i | 1.17454 | − | 0.0316713i | ||||
\(337\) | −1.36132e9 | −1.93757 | −0.968783 | − | 0.247909i | \(-0.920257\pi\) | ||||
−0.968783 | + | 0.247909i | \(0.920257\pi\) | |||||||
\(338\) | 1.09511e7 | + | 5.77230e6i | 0.0154258 | + | 0.00813094i | ||||
\(339\) | 2.56176e8 | + | 6.11831e8i | 0.357141 | + | 0.852968i | ||||
\(340\) | 4.77611e8 | − | 3.27182e8i | 0.659020 | − | 0.451454i | ||||
\(341\) | −9.05101e8 | −1.23611 | ||||||||
\(342\) | −1.08287e9 | + | 3.44441e8i | −1.46382 | + | 0.465612i | ||||
\(343\) | 5.43954e8i | 0.727834i | ||||||||
\(344\) | −4.81532e7 | − | 4.14971e8i | −0.0637780 | − | 0.549621i | ||||
\(345\) | 6.22106e8 | − | 2.60479e8i | 0.815639 | − | 0.341511i | ||||
\(346\) | 6.23568e8 | + | 3.28682e8i | 0.809315 | + | 0.426589i | ||||
\(347\) | − | 7.93766e8i | − | 1.01986i | −0.860217 | − | 0.509929i | \(-0.829672\pi\) | ||
0.860217 | − | 0.509929i | \(-0.170328\pi\) | |||||||
\(348\) | 1.27404e8 | + | 8.23205e7i | 0.162052 | + | 0.104708i | ||||
\(349\) | 1.15068e9i | 1.44899i | 0.689278 | + | 0.724497i | \(0.257928\pi\) | ||||
−0.689278 | + | 0.724497i | \(0.742072\pi\) | |||||||
\(350\) | −5.76666e6 | + | 1.09404e7i | −0.00718930 | + | 0.0136394i | ||||
\(351\) | 7.58536e8 | + | 3.04041e8i | 0.936270 | + | 0.375282i | ||||
\(352\) | −6.53674e8 | − | 7.51127e8i | −0.798843 | − | 0.917939i | ||||
\(353\) | 4.69723e8i | 0.568370i | 0.958770 | + | 0.284185i | \(0.0917229\pi\) | ||||
−0.958770 | + | 0.284185i | \(0.908277\pi\) | |||||||
\(354\) | 2.68655e7 | − | 3.02549e8i | 0.0321872 | − | 0.362480i | ||||
\(355\) | 1.72733e8 | 0.204916 | ||||||||
\(356\) | 3.85038e8 | − | 2.63766e8i | 0.452302 | − | 0.309845i | ||||
\(357\) | 7.49216e8 | − | 3.13700e8i | 0.871501 | − | 0.364901i | ||||
\(358\) | 1.85491e8 | − | 3.51909e8i | 0.213664 | − | 0.405359i | ||||
\(359\) | 6.25489e8 | 0.713492 | 0.356746 | − | 0.934201i | \(-0.383886\pi\) | ||||
0.356746 | + | 0.934201i | \(0.383886\pi\) | |||||||
\(360\) | 6.93526e8 | + | 5.40722e8i | 0.783437 | + | 0.610822i | ||||
\(361\) | 1.21526e9 | 1.35955 | ||||||||
\(362\) | 1.18269e8 | − | 2.24377e8i | 0.131036 | − | 0.248599i | ||||
\(363\) | 4.04135e8 | − | 1.69213e8i | 0.443459 | − | 0.185678i | ||||
\(364\) | 6.16308e8 | + | 8.99669e8i | 0.669797 | + | 0.977750i | ||||
\(365\) | −1.12261e9 | −1.20838 | ||||||||
\(366\) | 6.79863e7 | − | 7.65635e8i | 0.0724833 | − | 0.816278i | ||||
\(367\) | 3.01496e8i | 0.318383i | 0.987248 | + | 0.159192i | \(0.0508888\pi\) | ||||
−0.987248 | + | 0.159192i | \(0.949111\pi\) | |||||||
\(368\) | −3.07378e8 | + | 7.93508e8i | −0.321518 | + | 0.830012i | ||||
\(369\) | −3.86300e8 | − | 3.80431e8i | −0.400251 | − | 0.394170i | ||||
\(370\) | 3.52232e8 | − | 6.68247e8i | 0.361512 | − | 0.685853i | ||||
\(371\) | − | 2.19148e9i | − | 2.22807i | ||||||
\(372\) | −5.47368e8 | + | 8.47137e8i | −0.551289 | + | 0.853205i | ||||
\(373\) | − | 8.91771e8i | − | 0.889759i | −0.895590 | − | 0.444879i | \(-0.853247\pi\) | ||
0.895590 | − | 0.444879i | \(-0.146753\pi\) | |||||||
\(374\) | −8.75740e8 | − | 4.61601e8i | −0.865614 | − | 0.456264i | ||||
\(375\) | −9.48039e8 | + | 3.96948e8i | −0.928361 | + | 0.388708i | ||||
\(376\) | −1.49549e8 | − | 1.28877e9i | −0.145086 | − | 1.25031i | ||||
\(377\) | 2.02472e8i | 0.194612i | ||||||||
\(378\) | 7.99067e8 | + | 9.40092e8i | 0.760960 | + | 0.895260i | ||||
\(379\) | −1.31916e8 | −0.124469 | −0.0622345 | − | 0.998062i | \(-0.519823\pi\) | ||||
−0.0622345 | + | 0.998062i | \(0.519823\pi\) | |||||||
\(380\) | −9.22470e8 | − | 1.34659e9i | −0.862402 | − | 1.25891i | ||||
\(381\) | −4.47279e8 | − | 1.06825e9i | −0.414325 | − | 0.989540i | ||||
\(382\) | −8.13961e7 | − | 4.29038e7i | −0.0747106 | − | 0.0393799i | ||||
\(383\) | 1.57395e9 | 1.43152 | 0.715758 | − | 0.698348i | \(-0.246081\pi\) | ||||
0.715758 | + | 0.698348i | \(0.246081\pi\) | |||||||
\(384\) | −1.09834e9 | + | 1.57561e8i | −0.989867 | + | 0.142000i | ||||
\(385\) | −1.59042e9 | −1.42037 | ||||||||
\(386\) | 1.30984e9 | + | 6.90417e8i | 1.15921 | + | 0.611020i | ||||
\(387\) | 4.42682e8 | − | 4.49510e8i | 0.388242 | − | 0.394231i | ||||
\(388\) | 1.59839e7 | + | 2.33329e7i | 0.0138922 | + | 0.0202795i | ||||
\(389\) | 1.00271e9 | 0.863674 | 0.431837 | − | 0.901952i | \(-0.357866\pi\) | ||||
0.431837 | + | 0.901952i | \(0.357866\pi\) | |||||||
\(390\) | −1.03826e8 | + | 1.16925e9i | −0.0886299 | + | 0.998114i | ||||
\(391\) | 8.46020e8i | 0.715751i | ||||||||
\(392\) | 5.23138e7 | + | 4.50825e8i | 0.0438647 | + | 0.378013i | ||||
\(393\) | 6.90277e8 | + | 1.64860e9i | 0.573653 | + | 1.37007i | ||||
\(394\) | −1.21931e8 | − | 6.42697e7i | −0.100433 | − | 0.0529383i | ||||
\(395\) | 2.15789e9i | 1.76173i | ||||||||
\(396\) | 2.64969e8 | − | 1.48022e9i | 0.214418 | − | 1.19783i | ||||
\(397\) | − | 1.01948e9i | − | 0.817737i | −0.912593 | − | 0.408869i | \(-0.865923\pi\) | ||
0.912593 | − | 0.408869i | \(-0.134077\pi\) | |||||||
\(398\) | 3.85238e8 | − | 7.30865e8i | 0.306294 | − | 0.581094i | ||||
\(399\) | −8.84456e8 | − | 2.11237e9i | −0.697062 | − | 1.66481i | ||||
\(400\) | 6.06705e6 | − | 1.56623e7i | 0.00473989 | − | 0.0122362i | ||||
\(401\) | − | 2.14611e9i | − | 1.66206i | −0.556230 | − | 0.831028i | \(-0.687753\pi\) | ||
0.556230 | − | 0.831028i | \(-0.312247\pi\) | |||||||
\(402\) | −1.10394e8 | − | 9.80267e6i | −0.0847526 | − | 0.00752581i | ||||
\(403\) | −1.34628e9 | −1.02463 | ||||||||
\(404\) | 7.77427e8 | + | 1.13486e9i | 0.586577 | + | 0.856267i | ||||
\(405\) | 2.03288e7 | + | 1.32792e9i | 0.0152061 | + | 0.993301i | ||||
\(406\) | −1.42540e8 | + | 2.70424e8i | −0.105705 | + | 0.200542i | ||||
\(407\) | −1.29169e9 | −0.949683 | ||||||||
\(408\) | −9.61651e8 | + | 5.40498e8i | −0.700982 | + | 0.393989i | ||||
\(409\) | 2.47509e9 | 1.78879 | 0.894396 | − | 0.447276i | \(-0.147606\pi\) | ||||
0.894396 | + | 0.447276i | \(0.147606\pi\) | |||||||
\(410\) | 3.63144e8 | − | 6.88948e8i | 0.260217 | − | 0.493677i | ||||
\(411\) | 7.32535e8 | + | 1.74953e9i | 0.520453 | + | 1.24301i | ||||
\(412\) | 7.91919e8 | − | 5.42495e8i | 0.557880 | − | 0.382169i | ||||
\(413\) | 6.12126e8 | 0.427578 | ||||||||
\(414\) | −1.22466e9 | + | 3.89541e8i | −0.848232 | + | 0.269806i | ||||
\(415\) | − | 1.04329e9i | − | 0.716535i | ||||||
\(416\) | −9.72298e8 | − | 1.11725e9i | −0.662175 | − | 0.760895i | ||||
\(417\) | −5.93597e6 | + | 2.48542e6i | −0.00400881 | + | 0.00167851i | ||||
\(418\) | −1.30146e9 | + | 2.46909e9i | −0.871591 | + | 1.65356i | ||||
\(419\) | 9.09422e8i | 0.603972i | 0.953312 | + | 0.301986i | \(0.0976495\pi\) | ||||
−0.953312 | + | 0.301986i | \(0.902350\pi\) | |||||||
\(420\) | −9.61823e8 | + | 1.48857e9i | −0.633465 | + | 0.980386i | ||||
\(421\) | 1.82775e9i | 1.19380i | 0.802317 | + | 0.596899i | \(0.203601\pi\) | ||||
−0.802317 | + | 0.596899i | \(0.796399\pi\) | |||||||
\(422\) | −3.19713e8 | − | 1.68520e8i | −0.207093 | − | 0.109159i | ||||
\(423\) | 1.37483e9 | − | 1.39604e9i | 0.883197 | − | 0.896821i | ||||
\(424\) | 3.43073e8 | + | 2.95650e9i | 0.218578 | + | 1.88364i | ||||
\(425\) | − | 1.66988e7i | − | 0.0105517i | ||||||
\(426\) | −3.27848e8 | − | 2.91121e7i | −0.205466 | − | 0.0182448i | ||||
\(427\) | 1.54906e9 | 0.962874 | ||||||||
\(428\) | −2.23690e9 | + | 1.53236e9i | −1.37909 | + | 0.944732i | ||||
\(429\) | 1.85149e9 | − | 7.75225e8i | 1.13219 | − | 0.474053i | ||||
\(430\) | 8.01681e8 | + | 4.22565e8i | 0.486253 | + | 0.256303i | ||||
\(431\) | −1.85756e9 | −1.11756 | −0.558781 | − | 0.829315i | \(-0.688731\pi\) | ||||
−0.558781 | + | 0.829315i | \(0.688731\pi\) | |||||||
\(432\) | −1.22518e9 | − | 1.14318e9i | −0.731153 | − | 0.682214i | ||||
\(433\) | −1.54099e9 | −0.912206 | −0.456103 | − | 0.889927i | \(-0.650755\pi\) | ||||
−0.456103 | + | 0.889927i | \(0.650755\pi\) | |||||||
\(434\) | −1.79811e9 | − | 9.47784e8i | −1.05585 | − | 0.556538i | ||||
\(435\) | −3.03517e8 | + | 1.27084e8i | −0.176795 | + | 0.0740249i | ||||
\(436\) | −3.43327e8 | + | 2.35192e8i | −0.198383 | + | 0.135900i | ||||
\(437\) | 2.38530e9 | 1.36728 | ||||||||
\(438\) | 2.13071e9 | + | 1.89202e8i | 1.21162 | + | 0.107588i | ||||
\(439\) | − | 1.21301e9i | − | 0.684287i | −0.939648 | − | 0.342144i | \(-0.888847\pi\) | ||
0.939648 | − | 0.342144i | \(-0.111153\pi\) | |||||||
\(440\) | 2.14563e9 | − | 2.48979e8i | 1.20080 | − | 0.139341i | ||||
\(441\) | −4.80930e8 | + | 4.88349e8i | −0.267022 | + | 0.271141i | ||||
\(442\) | −1.30261e9 | − | 6.86603e8i | −0.717523 | − | 0.378205i | ||||
\(443\) | 2.37819e7i | 0.0129967i | 0.999979 | + | 0.00649835i | \(0.00206850\pi\) | ||||
−0.999979 | + | 0.00649835i | \(0.997931\pi\) | |||||||
\(444\) | −7.81163e8 | + | 1.20897e9i | −0.423547 | + | 0.655504i | ||||
\(445\) | 1.01245e9i | 0.544644i | ||||||||
\(446\) | 5.01370e7 | − | 9.51187e7i | 0.0267600 | − | 0.0507685i | ||||
\(447\) | −1.65726e9 | + | 6.93903e8i | −0.877637 | + | 0.367470i | ||||
\(448\) | −5.12068e8 | − | 2.17672e9i | −0.269064 | − | 1.14375i | ||||
\(449\) | − | 1.55906e8i | − | 0.0812831i | −0.999174 | − | 0.0406416i | \(-0.987060\pi\) | ||
0.999174 | − | 0.0406416i | \(-0.0129402\pi\) | |||||||
\(450\) | 2.41725e7 | − | 7.68879e6i | 0.0125048 | − | 0.00397754i | ||||
\(451\) | −1.33171e9 | −0.683583 | ||||||||
\(452\) | 1.49776e9 | − | 1.02602e9i | 0.762882 | − | 0.522604i | ||||
\(453\) | −2.87779e8 | − | 6.87308e8i | −0.145450 | − | 0.347382i | ||||
\(454\) | 3.70545e8 | − | 7.02990e8i | 0.185843 | − | 0.352577i | ||||
\(455\) | −2.36566e9 | −1.17737 | ||||||||
\(456\) | 1.52390e9 | + | 2.71131e9i | 0.752627 | + | 1.33907i | ||||
\(457\) | 2.81382e9 | 1.37908 | 0.689539 | − | 0.724248i | \(-0.257813\pi\) | ||||
0.689539 | + | 0.724248i | \(0.257813\pi\) | |||||||
\(458\) | 6.21324e8 | − | 1.17876e9i | 0.302196 | − | 0.573319i | ||||
\(459\) | −1.54636e9 | − | 6.19821e8i | −0.746390 | − | 0.299173i | ||||
\(460\) | −1.04325e9 | − | 1.52291e9i | −0.499733 | − | 0.729495i | ||||
\(461\) | 1.13935e9 | 0.541631 | 0.270816 | − | 0.962631i | \(-0.412707\pi\) | ||||
0.270816 | + | 0.962631i | \(0.412707\pi\) | |||||||
\(462\) | 3.01863e9 | + | 2.68047e8i | 1.42417 | + | 0.126463i | ||||
\(463\) | 2.52611e8i | 0.118282i | 0.998250 | + | 0.0591409i | \(0.0188361\pi\) | ||||
−0.998250 | + | 0.0591409i | \(0.981164\pi\) | |||||||
\(464\) | 1.49966e8 | − | 3.87142e8i | 0.0696913 | − | 0.179911i | ||||
\(465\) | −8.45009e8 | − | 2.01815e9i | −0.389741 | − | 0.930827i | ||||
\(466\) | 1.20581e9 | − | 2.28763e9i | 0.551985 | − | 1.04721i | ||||
\(467\) | − | 2.64646e8i | − | 0.120242i | −0.998191 | − | 0.0601210i | \(-0.980851\pi\) | ||
0.998191 | − | 0.0601210i | \(-0.0191487\pi\) | |||||||
\(468\) | 3.94124e8 | − | 2.20174e9i | 0.177735 | − | 0.992899i | ||||
\(469\) | − | 2.23352e8i | − | 0.0999735i | ||||||
\(470\) | 2.48977e9 | + | 1.31236e9i | 1.10616 | + | 0.583054i | ||||
\(471\) | 1.41481e9 | + | 3.37903e9i | 0.623916 | + | 1.49011i | ||||
\(472\) | −8.25813e8 | + | 9.58273e7i | −0.361480 | + | 0.0419462i | ||||
\(473\) | − | 1.54962e9i | − | 0.673303i | ||||||
\(474\) | 3.63686e8 | − | 4.09569e9i | 0.156857 | − | 1.76646i | ||||
\(475\) | −4.70812e7 | −0.0201567 | ||||||||
\(476\) | −1.25641e9 | − | 1.83408e9i | −0.533959 | − | 0.779458i | ||||
\(477\) | −3.15393e9 | + | 3.20258e9i | −1.33057 | + | 1.35110i | ||||
\(478\) | 3.69102e9 | + | 1.94553e9i | 1.54578 | + | 0.814781i | ||||
\(479\) | −7.70644e8 | −0.320390 | −0.160195 | − | 0.987085i | \(-0.551212\pi\) | ||||
−0.160195 | + | 0.987085i | \(0.551212\pi\) | |||||||
\(480\) | 1.06455e9 | − | 2.15879e9i | 0.439363 | − | 0.890976i | ||||
\(481\) | −1.92131e9 | −0.787209 | ||||||||
\(482\) | 2.08918e9 | + | 1.10121e9i | 0.849791 | + | 0.447924i | ||||
\(483\) | −1.00026e9 | − | 2.38895e9i | −0.403924 | − | 0.964700i | ||||
\(484\) | −6.77724e8 | − | 9.89321e8i | −0.271703 | − | 0.396624i | ||||
\(485\) | −6.13531e7 | −0.0244197 | ||||||||
\(486\) | 1.85221e8 | − | 2.52383e9i | 0.0731921 | − | 0.997318i | ||||
\(487\) | − | 1.64602e9i | − | 0.645779i | −0.946437 | − | 0.322889i | \(-0.895346\pi\) | ||
0.946437 | − | 0.322889i | \(-0.104654\pi\) | |||||||
\(488\) | −2.08982e9 | + | 2.42502e8i | −0.814027 | + | 0.0944597i | ||||
\(489\) | 2.01899e9 | − | 8.45359e8i | 0.780823 | − | 0.326934i | ||||
\(490\) | −8.70948e8 | − | 4.59076e8i | −0.334431 | − | 0.176278i | ||||
\(491\) | 4.81674e7i | 0.0183640i | 0.999958 | + | 0.00918202i | \(0.00292277\pi\) | ||||
−0.999958 | + | 0.00918202i | \(0.997077\pi\) | |||||||
\(492\) | −8.05362e8 | + | 1.24642e9i | −0.304869 | + | 0.471832i | ||||
\(493\) | − | 4.12761e8i | − | 0.155144i | ||||||
\(494\) | −1.93583e9 | + | 3.67262e9i | −0.722476 | + | 1.37067i | ||||
\(495\) | 2.32421e9 | + | 2.28891e9i | 0.861307 | + | 0.848223i | ||||
\(496\) | 2.57419e9 | + | 9.97155e8i | 0.947230 | + | 0.366924i | ||||
\(497\) | − | 6.63313e8i | − | 0.242366i | ||||||
\(498\) | −1.75834e8 | + | 1.98017e9i | −0.0637970 | + | 0.718456i | ||||
\(499\) | 5.32745e8 | 0.191941 | 0.0959705 | − | 0.995384i | \(-0.469405\pi\) | ||||
0.0959705 | + | 0.995384i | \(0.469405\pi\) | |||||||
\(500\) | 1.58983e9 | + | 2.32079e9i | 0.568796 | + | 0.830312i | ||||
\(501\) | −2.38846e9 | + | 1.00006e9i | −0.848566 | + | 0.355298i | ||||
\(502\) | −5.08774e8 | + | 9.65234e8i | −0.179499 | + | 0.340541i | ||||
\(503\) | −9.39101e8 | −0.329021 | −0.164511 | − | 0.986375i | \(-0.552605\pi\) | ||||
−0.164511 | + | 0.986375i | \(0.552605\pi\) | |||||||
\(504\) | 2.07642e9 | − | 2.66321e9i | 0.722453 | − | 0.926613i | ||||
\(505\) | −2.98410e9 | −1.03108 | ||||||||
\(506\) | −1.47186e9 | + | 2.79239e9i | −0.505057 | + | 0.958183i | ||||
\(507\) | 4.71994e7 | − | 1.97626e7i | 0.0160845 | − | 0.00673467i | ||||
\(508\) | −2.61506e9 | + | 1.79142e9i | −0.885031 | + | 0.606281i | ||||
\(509\) | 7.06297e8 | 0.237397 | 0.118699 | − | 0.992930i | \(-0.462128\pi\) | ||||
0.118699 | + | 0.992930i | \(0.462128\pi\) | |||||||
\(510\) | 2.11661e8 | − | 2.38364e9i | 0.0706553 | − | 0.795692i | ||||
\(511\) | 4.31092e9i | 1.42921i | ||||||||
\(512\) | 1.03159e9 | + | 2.85643e9i | 0.339674 | + | 0.940543i | ||||
\(513\) | −1.74755e9 | + | 4.35986e9i | −0.571502 | + | 1.42581i | ||||
\(514\) | −1.18826e9 | + | 2.25433e9i | −0.385957 | + | 0.732230i | ||||
\(515\) | 2.08233e9i | 0.671776i | ||||||||
\(516\) | −1.45038e9 | − | 9.37144e8i | −0.464736 | − | 0.300284i | ||||
\(517\) | − | 4.81262e9i | − | 1.53167i | ||||||
\(518\) | −2.56613e9 | − | 1.35261e9i | −0.811195 | − | 0.427580i | ||||
\(519\) | 2.68759e9 | − | 1.12531e9i | 0.843874 | − | 0.353334i | ||||
\(520\) | 3.19149e9 | − | 3.70340e8i | 0.995362 | − | 0.115502i | ||||
\(521\) | 5.07307e9i | 1.57159i | 0.618488 | + | 0.785794i | \(0.287745\pi\) | ||||
−0.618488 | + | 0.785794i | \(0.712255\pi\) | |||||||
\(522\) | 5.97495e8 | − | 1.90052e8i | 0.183860 | − | 0.0584824i | ||||
\(523\) | 6.29698e9 | 1.92476 | 0.962379 | − | 0.271711i | \(-0.0875893\pi\) | ||||
0.962379 | + | 0.271711i | \(0.0875893\pi\) | |||||||
\(524\) | 4.03577e9 | − | 2.76466e9i | 1.22537 | − | 0.839426i | ||||
\(525\) | 1.97433e7 | + | 4.71533e7i | 0.00595473 | + | 0.0142218i | ||||
\(526\) | −3.53896e9 | − | 1.86538e9i | −1.06029 | − | 0.558879i | ||||
\(527\) | 2.74454e9 | 0.816832 | ||||||||
\(528\) | −4.11437e9 | + | 1.10943e8i | −1.21642 | + | 0.0328006i | ||||
\(529\) | −7.07205e8 | −0.207707 | ||||||||
\(530\) | −5.71166e9 | − | 3.01061e9i | −1.66647 | − | 0.878393i | ||||
\(531\) | −8.94548e8 | − | 8.80959e8i | −0.259282 | − | 0.255343i | ||||
\(532\) | −5.17106e9 | + | 3.54238e9i | −1.48898 | + | 1.02001i | ||||
\(533\) | −1.98083e9 | −0.566634 | ||||||||
\(534\) | 1.70636e8 | − | 1.92163e9i | 0.0484926 | − | 0.546104i | ||||
\(535\) | − | 5.88187e9i | − | 1.66065i | ||||||
\(536\) | 3.49654e7 | + | 3.01322e8i | 0.00980758 | + | 0.0845190i | ||||
\(537\) | −6.35063e8 | − | 1.51673e9i | −0.176973 | − | 0.422668i | ||||
\(538\) | −8.92739e8 | − | 4.70562e8i | −0.247165 | − | 0.130280i | ||||
\(539\) | 1.68351e9i | 0.463078i | ||||||||
\(540\) | 3.54791e9 | − | 7.91131e8i | 0.969604 | − | 0.216207i | ||||
\(541\) | − | 5.85101e8i | − | 0.158870i | −0.996840 | − | 0.0794348i | \(-0.974688\pi\) | ||
0.996840 | − | 0.0794348i | \(-0.0253115\pi\) | |||||||
\(542\) | −9.00970e8 | + | 1.70930e9i | −0.243060 | + | 0.461127i | ||||
\(543\) | −4.04917e8 | − | 9.67071e8i | −0.108534 | − | 0.259214i | ||||
\(544\) | 1.98214e9 | + | 2.27765e9i | 0.527883 | + | 0.606583i | ||||
\(545\) | − | 9.02770e8i | − | 0.238885i | ||||||
\(546\) | 4.49002e9 | + | 3.98702e8i | 1.18052 | + | 0.104827i | ||||
\(547\) | −3.55096e9 | −0.927662 | −0.463831 | − | 0.885924i | \(-0.653526\pi\) | ||||
−0.463831 | + | 0.885924i | \(0.653526\pi\) | |||||||
\(548\) | 4.28283e9 | − | 2.93391e9i | 1.11173 | − | 0.761578i | ||||
\(549\) | −2.26376e9 | − | 2.22937e9i | −0.583885 | − | 0.575014i | ||||
\(550\) | 2.90518e7 | − | 5.51163e7i | 0.00744566 | − | 0.0141257i | ||||
\(551\) | −1.16375e9 | −0.296368 | ||||||||
\(552\) | 1.72343e9 | + | 3.06632e9i | 0.436122 | + | 0.775945i | ||||
\(553\) | 8.28652e9 | 2.08370 | ||||||||
\(554\) | −2.10529e9 | + | 3.99410e9i | −0.526050 | + | 0.998010i | ||||
\(555\) | −1.20593e9 | − | 2.88016e9i | −0.299432 | − | 0.715140i | ||||
\(556\) | 9.95446e6 | + | 1.45312e7i | 0.00245616 | + | 0.00358542i | ||||
\(557\) | 3.19209e9 | 0.782677 | 0.391338 | − | 0.920247i | \(-0.372012\pi\) | ||||
0.391338 | + | 0.920247i | \(0.372012\pi\) | |||||||
\(558\) | 1.26370e9 | + | 3.97288e9i | 0.307909 | + | 0.968023i | ||||
\(559\) | − | 2.30496e9i | − | 0.558112i | ||||||
\(560\) | 4.52332e9 | + | 1.75218e9i | 1.08843 | + | 0.421619i | ||||
\(561\) | −3.77446e9 | + | 1.58038e9i | −0.902578 | + | 0.377913i | ||||
\(562\) | −9.28353e8 | + | 1.76125e9i | −0.220616 | + | 0.418547i | ||||
\(563\) | − | 8.00588e8i | − | 0.189073i | −0.995521 | − | 0.0945365i | \(-0.969863\pi\) | ||
0.995521 | − | 0.0945365i | \(-0.0301369\pi\) | |||||||
\(564\) | −4.50441e9 | − | 2.91048e9i | −1.05721 | − | 0.683105i | ||||
\(565\) | 3.93832e9i | 0.918631i | ||||||||
\(566\) | −1.30081e9 | − | 6.85654e8i | −0.301547 | − | 0.158945i | ||||
\(567\) | 5.09936e9 | − | 7.80645e7i | 1.17483 | − | 0.0179851i | ||||
\(568\) | 1.03841e8 | + | 8.94869e8i | 0.0237765 | + | 0.204899i | ||||
\(569\) | − | 1.33361e9i | − | 0.303485i | −0.988420 | − | 0.151743i | \(-0.951512\pi\) | ||
0.988420 | − | 0.151743i | \(-0.0484884\pi\) | |||||||
\(570\) | −6.72052e9 | − | 5.96764e8i | −1.51999 | − | 0.134971i | ||||
\(571\) | −2.47645e9 | −0.556677 | −0.278339 | − | 0.960483i | \(-0.589784\pi\) | ||||
−0.278339 | + | 0.960483i | \(0.589784\pi\) | |||||||
\(572\) | −3.10489e9 | − | 4.53243e9i | −0.693681 | − | 1.01262i | ||||
\(573\) | −3.50819e8 | + | 1.46890e8i | −0.0779009 | + | 0.0326174i | ||||
\(574\) | −2.64563e9 | − | 1.39451e9i | −0.583899 | − | 0.307772i | ||||
\(575\) | −5.32458e7 | −0.0116801 | ||||||||
\(576\) | −2.38437e9 | + | 3.91797e9i | −0.519869 | + | 0.854246i | ||||
\(577\) | 4.31495e9 | 0.935105 | 0.467552 | − | 0.883965i | \(-0.345136\pi\) | ||||
0.467552 | + | 0.883965i | \(0.345136\pi\) | |||||||
\(578\) | −1.45135e9 | − | 7.65007e8i | −0.312627 | − | 0.164785i | ||||
\(579\) | 5.64545e9 | − | 2.36377e9i | 1.20871 | − | 0.506094i | ||||
\(580\) | 5.08989e8 | + | 7.43008e8i | 0.108321 | + | 0.158123i | ||||
\(581\) | −4.00634e9 | −0.847484 | ||||||||
\(582\) | 1.16449e8 | + | 1.03403e7i | 0.0244852 | + | 0.00217422i | ||||
\(583\) | 1.10404e10i | 2.30752i | ||||||||
\(584\) | −6.74869e8 | − | 5.81583e9i | −0.140208 | − | 1.20828i | ||||
\(585\) | 3.45712e9 | + | 3.40460e9i | 0.713952 | + | 0.703106i | ||||
\(586\) | 5.26551e9 | + | 2.77544e9i | 1.08093 | + | 0.569759i | ||||
\(587\) | 2.02446e9i | 0.413120i | 0.978434 | + | 0.206560i | \(0.0662268\pi\) | ||||
−0.978434 | + | 0.206560i | \(0.933773\pi\) | |||||||
\(588\) | 1.57569e9 | + | 1.01812e9i | 0.319632 | + | 0.206527i | ||||
\(589\) | − | 7.73806e9i | − | 1.56037i | ||||||
\(590\) | 8.40927e8 | − | 1.59539e9i | 0.168568 | − | 0.319804i | ||||
\(591\) | −5.25526e8 | + | 2.20040e8i | −0.104722 | + | 0.0438475i | ||||
\(592\) | 3.67370e9 | + | 1.42306e9i | 0.727742 | + | 0.281902i | ||||
\(593\) | − | 8.39544e9i | − | 1.65330i | −0.562716 | − | 0.826650i | \(-0.690244\pi\) | ||
0.562716 | − | 0.826650i | \(-0.309756\pi\) | |||||||
\(594\) | −4.02560e9 | − | 4.73607e9i | −0.788095 | − | 0.927184i | ||||
\(595\) | 4.82265e9 | 0.938591 | ||||||||
\(596\) | 2.77918e9 | + | 4.05697e9i | 0.537719 | + | 0.784946i | ||||
\(597\) | −1.31894e9 | − | 3.15005e9i | −0.253696 | − | 0.605908i | ||||
\(598\) | −2.18930e9 | + | 4.15350e9i | −0.418651 | + | 0.794255i | ||||
\(599\) | 1.37052e9 | 0.260550 | 0.130275 | − | 0.991478i | \(-0.458414\pi\) | ||||
0.130275 | + | 0.991478i | \(0.458414\pi\) | |||||||
\(600\) | −3.40173e7 | − | 6.05233e7i | −0.00642939 | − | 0.0114391i | ||||
\(601\) | −7.26524e9 | −1.36518 | −0.682589 | − | 0.730803i | \(-0.739146\pi\) | ||||
−0.682589 | + | 0.730803i | \(0.739146\pi\) | |||||||
\(602\) | 1.62269e9 | − | 3.07854e9i | 0.303144 | − | 0.575117i | ||||
\(603\) | −3.21444e8 | + | 3.26402e8i | −0.0597027 | + | 0.0606237i | ||||
\(604\) | −1.68253e9 | + | 1.15260e9i | −0.310694 | + | 0.212837i | ||||
\(605\) | 2.60139e9 | 0.477598 | ||||||||
\(606\) | 5.66383e9 | + | 5.02933e8i | 1.03385 | + | 0.0918028i | ||||
\(607\) | − | 9.56273e9i | − | 1.73549i | −0.497012 | − | 0.867744i | \(-0.665570\pi\) | ||
0.497012 | − | 0.867744i | \(-0.334430\pi\) | |||||||
\(608\) | 6.42168e9 | − | 5.58851e9i | 1.15874 | − | 1.00840i | ||||
\(609\) | 4.88015e8 | + | 1.16554e9i | 0.0875533 | + | 0.209105i | ||||
\(610\) | 2.12806e9 | − | 4.03731e9i | 0.379603 | − | 0.720175i | ||||
\(611\) | − | 7.15847e9i | − | 1.26963i | ||||||
\(612\) | −8.03467e8 | + | 4.48849e9i | −0.141690 | + | 0.791535i | ||||
\(613\) | 3.60560e9i | 0.632216i | 0.948723 | + | 0.316108i | \(0.102376\pi\) | ||||
−0.948723 | + | 0.316108i | \(0.897624\pi\) | |||||||
\(614\) | −3.90545e8 | − | 2.05856e8i | −0.0680898 | − | 0.0358900i | ||||
\(615\) | −1.24329e9 | − | 2.96938e9i | −0.215531 | − | 0.514758i | ||||
\(616\) | −9.56103e8 | − | 8.23942e9i | −0.164806 | − | 1.42025i | ||||
\(617\) | 7.59055e9i | 1.30099i | 0.759509 | + | 0.650496i | \(0.225439\pi\) | ||||
−0.759509 | + | 0.650496i | \(0.774561\pi\) | |||||||
\(618\) | 3.50951e8 | − | 3.95227e9i | 0.0598118 | − | 0.673577i | ||||
\(619\) | −4.61817e9 | −0.782623 | −0.391311 | − | 0.920258i | \(-0.627978\pi\) | ||||
−0.391311 | + | 0.920258i | \(0.627978\pi\) | |||||||
\(620\) | −4.94043e9 | + | 3.38439e9i | −0.832518 | + | 0.570307i | ||||
\(621\) | −1.97636e9 | + | 4.93072e9i | −0.331166 | + | 0.826209i | ||||
\(622\) | −5.53438e9 | − | 2.91717e9i | −0.922153 | − | 0.486066i | ||||
\(623\) | 3.88790e9 | 0.644180 | ||||||||
\(624\) | −6.11987e9 | + | 1.65021e8i | −1.00831 | + | 0.0271890i | ||||
\(625\) | −6.02237e9 | −0.986706 | ||||||||
\(626\) | 3.46974e9 | + | 1.82890e9i | 0.565310 | + | 0.297974i | ||||
\(627\) | 4.45579e9 | + | 1.06418e10i | 0.721918 | + | 1.72417i | ||||
\(628\) | 8.27184e9 | − | 5.66653e9i | 1.33273 | − | 0.912974i | ||||
\(629\) | 3.91681e9 | 0.627560 | ||||||||
\(630\) | 2.22054e9 | + | 6.98106e9i | 0.353807 | + | 1.11232i | ||||
\(631\) | 4.70050e9i | 0.744803i | 0.928072 | + | 0.372401i | \(0.121465\pi\) | ||||
−0.928072 | + | 0.372401i | \(0.878535\pi\) | |||||||
\(632\) | −1.11793e10 | + | 1.29724e9i | −1.76159 | + | 0.204414i | ||||
\(633\) | −1.37797e9 | + | 5.76961e8i | −0.215937 | + | 0.0904136i | ||||
\(634\) | 3.95615e9 | + | 2.08528e9i | 0.616538 | + | 0.324977i | ||||
\(635\) | − | 6.87623e9i | − | 1.06572i | ||||||
\(636\) | 1.03334e10 | + | 6.67678e9i | 1.59273 | + | 1.02912i | ||||
\(637\) | 2.50411e9i | 0.383853i | ||||||||
\(638\) | 7.18102e8 | − | 1.36237e9i | 0.109475 | − | 0.207693i | ||||
\(639\) | −9.54626e8 | + | 9.69352e8i | −0.144737 | + | 0.146970i | ||||
\(640\) | −6.37667e9 | − | 1.65573e9i | −0.961532 | − | 0.249666i | ||||
\(641\) | 1.82869e9i | 0.274244i | 0.990554 | + | 0.137122i | \(0.0437853\pi\) | ||||
−0.990554 | + | 0.137122i | \(0.956215\pi\) | |||||||
\(642\) | −9.91317e8 | + | 1.11638e10i | −0.147856 | + | 1.66510i | ||||
\(643\) | −2.97581e9 | −0.441435 | −0.220718 | − | 0.975338i | \(-0.570840\pi\) | ||||
−0.220718 | + | 0.975338i | \(0.570840\pi\) | |||||||
\(644\) | −5.84814e9 | + | 4.00620e9i | −0.862814 | + | 0.591061i | ||||
\(645\) | 3.45527e9 | − | 1.44673e9i | 0.507017 | − | 0.212290i | ||||
\(646\) | 3.94641e9 | − | 7.48704e9i | 0.575955 | − | 1.09269i | ||||
\(647\) | −7.48887e9 | −1.08705 | −0.543527 | − | 0.839392i | \(-0.682911\pi\) | ||||
−0.543527 | + | 0.839392i | \(0.682911\pi\) | |||||||
\(648\) | −6.86728e9 | + | 9.03614e8i | −0.991454 | + | 0.130458i | ||||
\(649\) | −3.08382e9 | −0.442825 | ||||||||
\(650\) | 4.32127e7 | − | 8.19821e7i | 0.00617183 | − | 0.0117091i | ||||
\(651\) | −7.74991e9 | + | 3.24492e9i | −1.10094 | + | 0.460968i | ||||
\(652\) | −3.38578e9 | − | 4.94247e9i | −0.478402 | − | 0.698357i | ||||
\(653\) | −8.06258e9 | −1.13313 | −0.566563 | − | 0.824019i | \(-0.691727\pi\) | ||||
−0.566563 | + | 0.824019i | \(0.691727\pi\) | |||||||
\(654\) | −1.52151e8 | + | 1.71346e9i | −0.0212692 | + | 0.239526i | ||||
\(655\) | 1.06119e10i | 1.47554i | ||||||||
\(656\) | 3.78750e9 | + | 1.46715e9i | 0.523829 | + | 0.202914i | ||||
\(657\) | 6.20419e9 | − | 6.29990e9i | 0.853506 | − | 0.866672i | ||||
\(658\) | 5.03957e9 | − | 9.56097e9i | 0.689610 | − | 1.30831i | ||||
\(659\) | 1.09269e10i | 1.48729i | 0.668573 | + | 0.743647i | \(0.266906\pi\) | ||||
−0.668573 | + | 0.743647i | \(0.733094\pi\) | |||||||
\(660\) | 4.84555e9 | − | 7.49924e9i | 0.656054 | − | 1.01534i | ||||
\(661\) | 6.97813e9i | 0.939797i | 0.882721 | + | 0.469898i | \(0.155709\pi\) | ||||
−0.882721 | + | 0.469898i | \(0.844291\pi\) | |||||||
\(662\) | 2.91674e9 | + | 1.53741e9i | 0.390746 | + | 0.205962i | ||||
\(663\) | −5.61427e9 | + | 2.35072e9i | −0.748162 | + | 0.313259i | ||||
\(664\) | 5.40492e9 | − | 6.27187e8i | 0.716475 | − | 0.0831397i | ||||
\(665\) | − | 1.35972e10i | − | 1.79297i | ||||||
\(666\) | 1.80345e9 | + | 5.66980e9i | 0.236562 | + | 0.743717i | ||||
\(667\) | −1.31613e9 | −0.171735 | ||||||||
\(668\) | 4.00538e9 | + | 5.84693e9i | 0.519907 | + | 0.758945i | ||||
\(669\) | −1.71654e8 | − | 4.09964e8i | −0.0221647 | − | 0.0529364i | ||||
\(670\) | −5.82124e8 | − | 3.06837e8i | −0.0747745 | − | 0.0394135i | ||||
\(671\) | −7.80396e9 | −0.997209 | ||||||||
\(672\) | −8.28997e9 | − | 4.08799e9i | −1.05381 | − | 0.519658i | ||||
\(673\) | −6.64233e8 | −0.0839978 | −0.0419989 | − | 0.999118i | \(-0.513373\pi\) | ||||
−0.0419989 | + | 0.999118i | \(0.513373\pi\) | |||||||
\(674\) | 1.36248e10 | + | 7.18160e9i | 1.71403 | + | 0.903466i | ||||
\(675\) | 3.90096e7 | − | 9.73230e7i | 0.00488212 | − | 0.0121801i | ||||
\(676\) | −7.91521e7 | − | 1.15544e8i | −0.00985482 | − | 0.0143858i | ||||
\(677\) | 7.98141e9 | 0.988597 | 0.494298 | − | 0.869292i | \(-0.335425\pi\) | ||||
0.494298 | + | 0.869292i | \(0.335425\pi\) | |||||||
\(678\) | 6.63755e8 | − | 7.47495e9i | 0.0817907 | − | 0.921094i | ||||
\(679\) | 2.35602e8i | 0.0288825i | ||||||||
\(680\) | −6.50620e9 | + | 7.54979e8i | −0.793498 | + | 0.0920775i | ||||
\(681\) | −1.26863e9 | − | 3.02990e9i | −0.153929 | − | 0.367633i | ||||
\(682\) | 9.05868e9 | + | 4.77482e9i | 1.09350 | + | 0.576384i | ||||
\(683\) | − | 4.75611e9i | − | 0.571188i | −0.958351 | − | 0.285594i | \(-0.907809\pi\) | ||
0.958351 | − | 0.285594i | \(-0.0921909\pi\) | |||||||
\(684\) | 1.26550e10 | + | 2.26532e9i | 1.51205 | + | 0.270666i | ||||
\(685\) | 1.12616e10i | 1.33870i | ||||||||
\(686\) | 2.86960e9 | − | 5.44415e9i | 0.339381 | − | 0.643866i | ||||
\(687\) | −2.12722e9 | − | 5.08049e9i | −0.250302 | − | 0.597801i | ||||
\(688\) | −1.70722e9 | + | 4.40726e9i | −0.199862 | + | 0.515951i | ||||
\(689\) | 1.64219e10i | 1.91274i | ||||||||
\(690\) | −7.60048e9 | − | 6.74902e8i | −0.880784 | − | 0.0782112i | ||||
\(691\) | −7.05427e9 | −0.813353 | −0.406676 | − | 0.913572i | \(-0.633312\pi\) | ||||
−0.406676 | + | 0.913572i | \(0.633312\pi\) | |||||||
\(692\) | −4.50702e9 | − | 6.57921e9i | −0.517032 | − | 0.754749i | ||||
\(693\) | 8.78963e9 | − | 8.92522e9i | 1.00324 | − | 1.01871i | ||||
\(694\) | −4.18748e9 | + | 7.94439e9i | −0.475548 | + | 0.902199i | ||||
\(695\) | −3.82095e7 | −0.00431742 | ||||||||
\(696\) | −8.40839e8 | − | 1.49602e9i | −0.0945324 | − | 0.168191i | ||||
\(697\) | 4.03815e9 | 0.451718 | ||||||||
\(698\) | 6.07038e9 | − | 1.15166e10i | 0.675650 | − | 1.28183i | ||||
\(699\) | −4.12832e9 | − | 9.85974e9i | −0.457196 | − | 1.09193i | ||||
\(700\) | 1.15431e8 | − | 7.90747e7i | 0.0127198 | − | 0.00871354i | ||||
\(701\) | 3.79183e9 | 0.415754 | 0.207877 | − | 0.978155i | \(-0.433345\pi\) | ||||
0.207877 | + | 0.978155i | \(0.433345\pi\) | |||||||
\(702\) | −5.98783e9 | − | 7.04461e9i | −0.653265 | − | 0.768558i | ||||
\(703\) | − | 1.10432e10i | − | 1.19881i | ||||||
\(704\) | 2.57974e9 | + | 1.09661e10i | 0.278658 | + | 1.18453i | ||||
\(705\) | 1.07310e10 | − | 4.49310e9i | 1.15339 | − | 0.482930i | ||||
\(706\) | 2.47801e9 | − | 4.70122e9i | 0.265024 | − | 0.502798i | ||||
\(707\) | 1.14592e10i | 1.21952i | ||||||||
\(708\) | −1.86496e9 | + | 2.88632e9i | −0.197494 | + | 0.305653i | ||||
\(709\) | 7.97581e9i | 0.840452i | 0.907419 | + | 0.420226i | \(0.138049\pi\) | ||||
−0.907419 | + | 0.420226i | \(0.861951\pi\) | |||||||
\(710\) | −1.72880e9 | − | 9.11246e8i | −0.181276 | − | 0.0955502i | ||||
\(711\) | −1.21098e10 | − | 1.19258e10i | −1.26355 | − | 1.24435i | ||||
\(712\) | −5.24513e9 | + | 6.08645e8i | −0.544599 | + | 0.0631952i | ||||
\(713\) | − | 8.75126e9i | − | 0.904184i | ||||||
\(714\) | −9.15341e9 | − | 8.12799e8i | −0.941108 | − | 0.0835679i | ||||
\(715\) | 1.19179e10 | 1.21935 | ||||||||
\(716\) | −3.71296e9 | + | 2.54352e9i | −0.378028 | + | 0.258964i | ||||
\(717\) | 1.59084e10 | − | 6.66091e9i | 1.61179 | − | 0.674864i | ||||
\(718\) | −6.26019e9 | − | 3.29974e9i | −0.631178 | − | 0.332693i | ||||
\(719\) | 6.39397e9 | 0.641533 | 0.320767 | − | 0.947158i | \(-0.396059\pi\) | ||||
0.320767 | + | 0.947158i | \(0.396059\pi\) | |||||||
\(720\) | −4.08859e9 | − | 9.07047e9i | −0.408234 | − | 0.905661i | ||||
\(721\) | 7.99635e9 | 0.794545 | ||||||||
\(722\) | −1.21629e10 | − | 6.41108e9i | −1.20270 | − | 0.633944i | ||||
\(723\) | 9.00443e9 | − | 3.77019e9i | 0.886079 | − | 0.371005i | ||||
\(724\) | −2.36738e9 | + | 1.62175e9i | −0.231838 | + | 0.158818i | ||||
\(725\) | 2.59779e7 | 0.00253175 | ||||||||
\(726\) | −4.93746e9 | − | 4.38433e8i | −0.478878 | − | 0.0425231i | ||||
\(727\) | − | 1.26715e10i | − | 1.22309i | −0.791210 | − | 0.611545i | \(-0.790549\pi\) | ||
0.791210 | − | 0.611545i | \(-0.209451\pi\) | |||||||
\(728\) | −1.42214e9 | − | 1.22556e10i | −0.136610 | − | 1.17727i | ||||
\(729\) | −7.56446e9 | − | 7.22482e9i | −0.723155 | − | 0.690686i | ||||
\(730\) | 1.12356e10 | + | 5.92226e9i | 1.06897 | + | 0.563453i | ||||
\(731\) | 4.69891e9i | 0.444925i | ||||||||
\(732\) | −4.71951e9 | + | 7.30418e9i | −0.444742 | + | 0.688308i | ||||
\(733\) | − | 1.13503e10i | − | 1.06449i | −0.846590 | − | 0.532246i | \(-0.821348\pi\) | ||
0.846590 | − | 0.532246i | \(-0.178652\pi\) | |||||||
\(734\) | 1.59053e9 | − | 3.01752e9i | 0.148459 | − | 0.281652i | ||||
\(735\) | −3.75381e9 | + | 1.57174e9i | −0.348712 | + | 0.146007i | ||||
\(736\) | 7.26250e9 | − | 6.32025e9i | 0.671451 | − | 0.584335i | ||||
\(737\) | 1.12522e9i | 0.103538i | ||||||||
\(738\) | 1.85932e9 | + | 5.84544e9i | 0.170278 | + | 0.535328i | ||||
\(739\) | 4.31419e8 | 0.0393228 | 0.0196614 | − | 0.999807i | \(-0.493741\pi\) | ||||
0.0196614 | + | 0.999807i | \(0.493741\pi\) | |||||||
\(740\) | −7.05061e9 | + | 4.82994e9i | −0.639611 | + | 0.438158i | ||||
\(741\) | 6.62770e9 | + | 1.58291e10i | 0.598410 | + | 1.42920i | ||||
\(742\) | −1.15610e10 | + | 2.19333e10i | −1.03892 | + | 1.97102i | ||||
\(743\) | 2.01007e10 | 1.79784 | 0.898920 | − | 0.438114i | \(-0.144353\pi\) | ||||
0.898920 | + | 0.438114i | \(0.144353\pi\) | |||||||
\(744\) | 9.94735e9 | − | 5.59093e9i | 0.885528 | − | 0.497713i | ||||
\(745\) | −1.06677e10 | −0.945200 | ||||||||
\(746\) | −4.70450e9 | + | 8.92527e9i | −0.414885 | + | 0.787110i | ||||
\(747\) | 5.85479e9 | + | 5.76585e9i | 0.513912 | + | 0.506105i | ||||
\(748\) | 6.32966e9 | + | 9.23985e9i | 0.553000 | + | 0.807253i | ||||
\(749\) | −2.25870e10 | −1.96414 | ||||||||
\(750\) | 1.15825e10 | + | 1.02850e9i | 1.00251 | + | 0.0890201i | ||||
\(751\) | 1.14279e10i | 0.984526i | 0.870447 | + | 0.492263i | \(0.163830\pi\) | ||||
−0.870447 | + | 0.492263i | \(0.836170\pi\) | |||||||
\(752\) | −5.30209e9 | + | 1.36876e10i | −0.454658 | + | 1.17372i | ||||
\(753\) | 1.74188e9 | + | 4.16018e9i | 0.148675 | + | 0.355083i | ||||
\(754\) | 1.06813e9 | − | 2.02643e9i | 0.0907454 | − | 0.172160i | ||||
\(755\) | − | 4.42416e9i | − | 0.374125i | ||||||
\(756\) | −3.03802e9 | − | 1.36243e10i | −0.255720 | − | 1.14680i | ||||
\(757\) | − | 2.20045e10i | − | 1.84364i | −0.387614 | − | 0.921822i | \(-0.626701\pi\) | ||
0.387614 | − | 0.921822i | \(-0.373299\pi\) | |||||||
\(758\) | 1.32028e9 | + | 6.95919e8i | 0.110109 | + | 0.0580385i | ||||
\(759\) | 5.03921e9 | + | 1.20352e10i | 0.418327 | + | 0.999100i | ||||
\(760\) | 2.12862e9 | + | 1.83438e10i | 0.175893 | + | 1.51580i | ||||
\(761\) | 8.44405e9i | 0.694551i | 0.937763 | + | 0.347276i | \(0.112893\pi\) | ||||
−0.937763 | + | 0.347276i | \(0.887107\pi\) | |||||||
\(762\) | −1.15890e9 | + | 1.30511e10i | −0.0948866 | + | 1.06857i | ||||
\(763\) | −3.46672e9 | −0.282542 | ||||||||
\(764\) | 5.88314e8 | + | 8.58804e8i | 0.0477290 | + | 0.0696734i | ||||
\(765\) | −7.04773e9 | − | 6.94066e9i | −0.569160 | − | 0.560513i | ||||
\(766\) | −1.57529e10 | − | 8.30332e9i | −1.26637 | − | 0.667500i | ||||
\(767\) | −4.58698e9 | −0.367065 | ||||||||
\(768\) | 1.18239e10 | + | 4.21729e9i | 0.941881 | + | 0.335946i | ||||
\(769\) | 1.61336e10 | 1.27935 | 0.639676 | − | 0.768645i | \(-0.279069\pi\) | ||||
0.639676 | + | 0.768645i | \(0.279069\pi\) | |||||||
\(770\) | 1.59177e10 | + | 8.39021e9i | 1.25650 | + | 0.662301i | ||||
\(771\) | 4.06823e9 | + | 9.71623e9i | 0.319680 | + | 0.763497i | ||||
\(772\) | −9.46726e9 | − | 1.38200e10i | −0.740566 | − | 1.08106i | ||||
\(773\) | −8.78345e9 | −0.683970 | −0.341985 | − | 0.939705i | \(-0.611099\pi\) | ||||
−0.341985 | + | 0.939705i | \(0.611099\pi\) | |||||||
\(774\) | −6.80194e9 | + | 2.16356e9i | −0.527278 | + | 0.167717i | ||||
\(775\) | 1.72733e8i | 0.0133297i | ||||||||
\(776\) | −3.68832e7 | − | 3.17849e8i | −0.00283343 | − | 0.0244177i | ||||
\(777\) | −1.10601e10 | + | 4.63091e9i | −0.845834 | + | 0.354154i | ||||
\(778\) | −1.00356e10 | − | 5.28973e9i | −0.764034 | − | 0.402721i | ||||
\(779\) | − | 1.13853e10i | − | 0.862906i | ||||||
\(780\) | 7.20745e9 | − | 1.11546e10i | 0.543814 | − | 0.841637i | ||||
\(781\) | 3.34169e9i | 0.251008i | ||||||||
\(782\) | 4.46314e9 | − | 8.46737e9i | 0.333747 | − | 0.633176i | ||||
\(783\) | 9.64240e8 | − | 2.40563e9i | 0.0717826 | − | 0.179087i | ||||
\(784\) | 1.85473e9 | − | 4.78805e9i | 0.137459 | − | 0.354856i | ||||
\(785\) | 2.17506e10i | 1.60482i | ||||||||
\(786\) | 1.78851e9 | − | 2.01415e10i | 0.131375 | − | 1.47949i | ||||
\(787\) | 8.83738e8 | 0.0646267 | 0.0323133 | − | 0.999478i | \(-0.489713\pi\) | ||||
0.0323133 | + | 0.999478i | \(0.489713\pi\) | |||||||
\(788\) | 8.81292e8 | + | 1.28648e9i | 0.0641620 | + | 0.0936618i | ||||
\(789\) | −1.52530e10 | + | 6.38650e9i | −1.10557 | + | 0.462907i | ||||
\(790\) | 1.13839e10 | − | 2.15972e10i | 0.821476 | − | 1.55849i | ||||
\(791\) | 1.51235e10 | 1.08651 | ||||||||
\(792\) | −1.04608e10 | + | 1.34169e10i | −0.748214 | + | 0.959655i | ||||
\(793\) | −1.16079e10 | −0.826603 | ||||||||
\(794\) | −5.37825e9 | + | 1.02035e10i | −0.381302 | + | 0.723397i | ||||
\(795\) | −2.46174e10 | + | 1.03074e10i | −1.73763 | + | 0.727553i | ||||
\(796\) | −7.71129e9 | + | 5.28254e9i | −0.541915 | + | 0.371233i | ||||
\(797\) | 1.20034e9 | 0.0839850 | 0.0419925 | − | 0.999118i | \(-0.486629\pi\) | ||||
0.0419925 | + | 0.999118i | \(0.486629\pi\) | |||||||
\(798\) | −2.29163e9 | + | 2.58075e10i | −0.159638 | + | 1.79777i | ||||
\(799\) | 1.45933e10i | 1.01214i | ||||||||
\(800\) | −1.43348e8 | + | 1.24750e8i | −0.00989866 | + | 0.00861438i | ||||
\(801\) | −5.68170e9 | − | 5.59539e9i | −0.390629 | − | 0.384695i | ||||
\(802\) | −1.13217e10 | + | 2.14792e10i | −0.774998 | + | 1.47031i | ||||
\(803\) | − | 2.17179e10i | − | 1.48018i | ||||||
\(804\) | 1.05316e9 | + | 6.80487e8i | 0.0714657 | + | 0.0461768i | ||||
\(805\) | − | 1.53775e10i | − | 1.03896i | ||||||
\(806\) | 1.34742e10 | + | 7.10224e9i | 0.906423 | + | 0.477774i | ||||
\(807\) | −3.84773e9 | + | 1.61106e9i | −0.257719 | + | 0.107908i | ||||
\(808\) | −1.79393e9 | − | 1.54595e10i | −0.119637 | − | 1.03100i | ||||
\(809\) | 2.60136e9i | 0.172735i | 0.996263 | + | 0.0863676i | \(0.0275260\pi\) | ||||
−0.996263 | + | 0.0863676i | \(0.972474\pi\) | |||||||
\(810\) | 6.80195e9 | − | 1.33977e10i | 0.449713 | − | 0.885797i | ||||
\(811\) | 8.84876e9 | 0.582518 | 0.291259 | − | 0.956644i | \(-0.405926\pi\) | ||||
0.291259 | + | 0.956644i | \(0.405926\pi\) | |||||||
\(812\) | 2.85322e9 | − | 1.95457e9i | 0.187021 | − | 0.128117i | ||||
\(813\) | 3.08464e9 | + | 7.36712e9i | 0.201321 | + | 0.480818i | ||||
\(814\) | 1.29279e10 | + | 6.81427e9i | 0.840121 | + | 0.442827i | ||||
\(815\) | 1.29961e10 | 0.840933 | ||||||||
\(816\) | 1.24760e10 | − | 3.36414e8i | 0.803824 | − | 0.0216750i | ||||
\(817\) | 1.32483e10 | 0.849928 | ||||||||
\(818\) | −2.47719e10 | − | 1.30572e10i | −1.58242 | − | 0.834094i | ||||
\(819\) | 1.30740e10 | − | 1.32757e10i | 0.831602 | − | 0.844430i | ||||
\(820\) | −7.26903e9 | + | 4.97957e9i | −0.460392 | + | 0.315387i | ||||
\(821\) | −1.11459e10 | −0.702936 | −0.351468 | − | 0.936200i | \(-0.614317\pi\) | ||||
−0.351468 | + | 0.936200i | \(0.614317\pi\) | |||||||
\(822\) | 1.89800e9 | − | 2.13746e10i | 0.119192 | − | 1.34229i | ||||
\(823\) | − | 9.79662e9i | − | 0.612600i | −0.951935 | − | 0.306300i | \(-0.900909\pi\) | ||
0.951935 | − | 0.306300i | \(-0.0990911\pi\) | |||||||
\(824\) | −1.07878e10 | + | 1.25182e9i | −0.671720 | + | 0.0779464i | ||||
\(825\) | −9.94643e7 | − | 2.37553e8i | −0.00616706 | − | 0.0147289i | ||||
\(826\) | −6.12644e9 | − | 3.22924e9i | −0.378249 | − | 0.199375i | ||||
\(827\) | − | 6.77886e9i | − | 0.416761i | −0.978048 | − | 0.208381i | \(-0.933181\pi\) | ||
0.978048 | − | 0.208381i | \(-0.0668193\pi\) | |||||||
\(828\) | 1.43120e10 | + | 2.56194e9i | 0.876181 | + | 0.156842i | ||||
\(829\) | − | 1.21324e10i | − | 0.739614i | −0.929109 | − | 0.369807i | \(-0.879424\pi\) | ||
0.929109 | − | 0.369807i | \(-0.120576\pi\) | |||||||
\(830\) | −5.50384e9 | + | 1.04418e10i | −0.334112 | + | 0.633870i | ||||
\(831\) | 7.20786e9 | + | 1.72147e10i | 0.435715 | + | 1.04063i | ||||
\(832\) | 3.83720e9 | + | 1.63113e10i | 0.230984 | + | 0.981878i | ||||
\(833\) | − | 5.10491e9i | − | 0.306006i | ||||||
\(834\) | 7.25218e7 | + | 6.43974e6i | 0.00432900 | + | 0.000384403i | ||||
\(835\) | −1.53744e10 | −0.913891 | ||||||||
\(836\) | 2.60512e10 | − | 1.78461e10i | 1.54207 | − | 1.05638i | ||||
\(837\) | 1.59956e10 | + | 6.41145e9i | 0.942890 | + | 0.377935i | ||||
\(838\) | 4.79762e9 | − | 9.10193e9i | 0.281625 | − | 0.534293i | ||||
\(839\) | 8.22569e9 | 0.480846 | 0.240423 | − | 0.970668i | \(-0.422714\pi\) | ||||
0.240423 | + | 0.970668i | \(0.422714\pi\) | |||||||
\(840\) | 1.74793e10 | − | 9.82426e9i | 1.01753 | − | 0.571903i | ||||
\(841\) | −1.66078e10 | −0.962775 | ||||||||
\(842\) | 9.64224e9 | − | 1.82930e10i | 0.556654 | − | 1.05607i | ||||
\(843\) | 3.17840e9 | + | 7.59103e9i | 0.182731 | + | 0.436420i | ||||
\(844\) | 2.31081e9 | + | 3.37326e9i | 0.132302 | + | 0.193131i | ||||
\(845\) | 3.03820e8 | 0.0173228 | ||||||||
\(846\) | −2.11247e10 | + | 6.71935e9i | −1.19948 | + | 0.381532i | ||||
\(847\) | − | 9.98961e9i | − | 0.564881i | ||||||
\(848\) | 1.21633e10 | − | 3.14000e10i | 0.684960 | − | 1.76825i | ||||
\(849\) | −5.60651e9 | + | 2.34747e9i | −0.314424 | + | 0.131651i | ||||
\(850\) | −8.80938e7 | + | 1.67130e8i | −0.00492016 | + | 0.00933441i | ||||
\(851\) | − | 1.24891e10i | − | 0.694671i | ||||||
\(852\) | 3.12768e9 | + | 2.02092e9i | 0.173254 | + | 0.111946i | ||||
\(853\) | 2.56199e10i | 1.41337i | 0.707529 | + | 0.706684i | \(0.249810\pi\) | ||||
−0.707529 | + | 0.706684i | \(0.750190\pi\) | |||||||
\(854\) | −1.55037e10 | − | 8.17197e9i | −0.851789 | − | 0.448977i | ||||
\(855\) | −1.95688e10 | + | 1.98706e10i | −1.07073 | + | 1.08725i | ||||
\(856\) | 3.04719e10 | − | 3.53596e9i | 1.66051 | − | 0.192685i | ||||
\(857\) | − | 1.50932e10i | − | 0.819119i | −0.912283 | − | 0.409560i | \(-0.865682\pi\) | ||
0.912283 | − | 0.409560i | \(-0.134318\pi\) | |||||||
\(858\) | −2.26202e10 | − | 2.00861e9i | −1.22262 | − | 0.108565i | ||||
\(859\) | 2.80901e10 | 1.51209 | 0.756045 | − | 0.654519i | \(-0.227129\pi\) | ||||
0.756045 | + | 0.654519i | \(0.227129\pi\) | |||||||
\(860\) | −5.79438e9 | − | 8.45847e9i | −0.310644 | − | 0.453469i | ||||
\(861\) | −1.14027e10 | + | 4.77437e9i | −0.608832 | + | 0.254921i | ||||
\(862\) | 1.85913e10 | + | 9.79947e9i | 0.988632 | + | 0.521107i | ||||
\(863\) | −2.00363e10 | −1.06116 | −0.530578 | − | 0.847636i | \(-0.678025\pi\) | ||||
−0.530578 | + | 0.847636i | \(0.678025\pi\) | |||||||
\(864\) | 6.23144e9 | + | 1.79049e10i | 0.328693 | + | 0.944437i | ||||
\(865\) | 1.72999e10 | 0.908837 | ||||||||
\(866\) | 1.54230e10 | + | 8.12944e9i | 0.806967 | + | 0.425352i | ||||
\(867\) | −6.25537e9 | + | 2.61915e9i | −0.325976 | + | 0.136488i | ||||
\(868\) | 1.29964e10 | + | 1.89717e10i | 0.674533 | + | 0.984664i | ||||
\(869\) | −4.17465e10 | −2.15800 | ||||||||
\(870\) | 3.70817e9 | + | 3.29275e8i | 0.190916 | + | 0.0169528i | ||||
\(871\) | 1.67369e9i | 0.0858248i | ||||||||
\(872\) | 4.67693e9 | − | 5.42711e8i | 0.238865 | − | 0.0277179i | ||||
\(873\) | 3.39074e8 | − | 3.44304e8i | 0.0172482 | − | 0.0175143i | ||||
\(874\) | −2.38732e10 | − | 1.25835e10i | −1.20954 | − | 0.637548i | ||||
\(875\) | 2.34341e10i | 1.18255i | ||||||||
\(876\) | −2.03271e10 | − | 1.31341e10i | −1.02167 | − | 0.660140i | ||||
\(877\) | 3.48884e10i | 1.74655i | 0.487224 | + | 0.873277i | \(0.338009\pi\) | ||||
−0.487224 | + | 0.873277i | \(0.661991\pi\) | |||||||
\(878\) | −6.39918e9 | + | 1.21404e10i | −0.319075 | + | 0.605343i | ||||
\(879\) | 2.26945e10 | − | 9.50227e9i | 1.12709 | − | 0.471918i | ||||
\(880\) | −2.27879e10 | − | 8.82727e9i | −1.12724 | − | 0.436654i | ||||
\(881\) | − | 2.29713e10i | − | 1.13180i | −0.824474 | − | 0.565900i | \(-0.808529\pi\) | ||
0.824474 | − | 0.565900i | \(-0.191471\pi\) | |||||||
\(882\) | 7.38964e9 | − | 2.35050e9i | 0.362646 | − | 0.115351i | ||||
\(883\) | −2.74703e10 | −1.34277 | −0.671383 | − | 0.741110i | \(-0.734300\pi\) | ||||
−0.671383 | + | 0.741110i | \(0.734300\pi\) | |||||||
\(884\) | 9.41497e9 | + | 1.37437e10i | 0.458391 | + | 0.669146i | ||||
\(885\) | −2.87907e9 | − | 6.87615e9i | −0.139621 | − | 0.333460i | ||||
\(886\) | 1.25460e8 | − | 2.38020e8i | 0.00606022 | − | 0.0114973i | ||||
\(887\) | 3.67506e9 | 0.176820 | 0.0884100 | − | 0.996084i | \(-0.471821\pi\) | ||||
0.0884100 | + | 0.996084i | \(0.471821\pi\) | |||||||
\(888\) | 1.41961e10 | − | 7.97896e9i | 0.680337 | − | 0.382385i | ||||
\(889\) | −2.64054e10 | −1.26048 | ||||||||
\(890\) | 5.34112e9 | − | 1.01331e10i | 0.253961 | − | 0.481810i | ||||
\(891\) | −2.56900e10 | + | 3.93280e8i | −1.21672 | + | 0.0186264i | ||||
\(892\) | −1.00359e9 | + | 6.87498e8i | −0.0473455 | + | 0.0324335i | ||||
\(893\) | 4.11450e10 | 1.93347 | ||||||||
\(894\) | 2.02473e10 | + | 1.79791e9i | 0.947734 | + | 0.0841562i | ||||
\(895\) | − | 9.76312e9i | − | 0.455206i | ||||||
\(896\) | −6.35817e9 | + | 2.44870e10i | −0.295294 | + | 1.13726i | ||||
\(897\) | 7.49550e9 | + | 1.79017e10i | 0.346759 | + | 0.828171i | ||||
\(898\) | −8.22475e8 | + | 1.56038e9i | −0.0379014 | + | 0.0719057i | ||||
\(899\) | 4.26962e9i | 0.195988i | ||||||||
\(900\) | −2.82491e8 | − | 5.05677e7i | −0.0129168 | − | 0.00231219i | ||||
\(901\) | − | 3.34779e10i | − | 1.52483i | ||||||
\(902\) | 1.33284e10 | + | 7.02537e9i | 0.604720 | + | 0.318747i | ||||
\(903\) | −5.55560e9 | − | 1.32686e10i | −0.251087 | − | 0.599676i | ||||
\(904\) | −2.04030e10 | + | 2.36757e9i | −0.918555 | + | 0.106589i | ||||
\(905\) | − | 6.22497e9i | − | 0.279169i | ||||||
\(906\) | −7.45638e8 | + | 8.39707e9i | −0.0333104 | + | 0.375128i | ||||
\(907\) | 4.10522e10 | 1.82689 | 0.913443 | − | 0.406967i | \(-0.133414\pi\) | ||||
0.913443 | + | 0.406967i | \(0.133414\pi\) | |||||||
\(908\) | −7.41719e9 | + | 5.08106e9i | −0.328805 | + | 0.225244i | ||||
\(909\) | 1.64919e10 | − | 1.67463e10i | 0.728277 | − | 0.739512i | ||||
\(910\) | 2.36766e10 | + | 1.24799e10i | 1.04154 | + | 0.548993i | ||||
\(911\) | −1.57769e10 | −0.691364 | −0.345682 | − | 0.938352i | \(-0.612352\pi\) | ||||
−0.345682 | + | 0.938352i | \(0.612352\pi\) | |||||||
\(912\) | −9.48497e8 | − | 3.51754e10i | −0.0414051 | − | 1.53553i | ||||
\(913\) | 2.01835e10 | 0.877704 | ||||||||
\(914\) | −2.81620e10 | − | 1.48442e10i | −1.21998 | − | 0.643049i | ||||
\(915\) | −7.28584e9 | − | 1.74009e10i | −0.314417 | − | 0.750928i | ||||
\(916\) | −1.24370e10 | + | 8.51983e9i | −0.534665 | + | 0.366266i | ||||
\(917\) | 4.07509e10 | 1.74520 | ||||||||
\(918\) | 1.22069e10 | + | 1.43612e10i | 0.520780 | + | 0.612692i | ||||
\(919\) | 1.27768e10i | 0.543023i | 0.962435 | + | 0.271512i | \(0.0875236\pi\) | ||||
−0.962435 | + | 0.271512i | \(0.912476\pi\) | |||||||
\(920\) | 2.40733e9 | + | 2.07457e10i | 0.101924 | + | 0.878355i | ||||
\(921\) | −1.68326e9 | + | 7.04787e8i | −0.0709973 | + | 0.0297269i | ||||
\(922\) | −1.14031e10 | − | 6.01059e9i | −0.479144 | − | 0.252557i | ||||
\(923\) | 4.97055e9i | 0.208065i | ||||||||
\(924\) | −2.87978e10 | − | 1.86074e10i | −1.20090 | − | 0.775950i | ||||
\(925\) | 2.46512e8i | 0.0102410i | ||||||||
\(926\) | 1.33264e9 | − | 2.52825e9i | 0.0551535 | − | 0.104636i | ||||
\(927\) | −1.16857e10 | − | 1.15082e10i | −0.481810 | − | 0.474491i | ||||
\(928\) | −3.54328e9 | + | 3.08356e9i | −0.145542 | + | 0.126659i | ||||
\(929\) | 3.88487e10i | 1.58972i | 0.606790 | + | 0.794862i | \(0.292457\pi\) | ||||
−0.606790 | + | 0.794862i | \(0.707543\pi\) | |||||||
\(930\) | −2.18943e9 | + | 2.46565e10i | −0.0892566 | + | 1.00517i | ||||
\(931\) | −1.43930e10 | −0.584556 | ||||||||
\(932\) | −2.41366e10 | + | 1.65345e10i | −0.976608 | + | 0.669015i | ||||
\(933\) | −2.38533e10 | + | 9.98749e9i | −0.961531 | + | 0.402597i | ||||
\(934\) | −1.39613e9 | + | 2.64870e9i | −0.0560675 | + | 0.106370i | ||||
\(935\) | −2.42959e10 | −0.972060 | ||||||||
\(936\) | −1.55598e10 | + | 1.99568e10i | −0.620208 | + | 0.795475i | ||||
\(937\) | 2.21198e9 | 0.0878400 | 0.0439200 | − | 0.999035i | \(-0.486015\pi\) | ||||
0.0439200 | + | 0.999035i | \(0.486015\pi\) | |||||||
\(938\) | −1.17828e9 | + | 2.23541e9i | −0.0466165 | + | 0.0884398i | ||||
\(939\) | 1.49547e10 | − | 6.26158e9i | 0.589450 | − | 0.246805i | ||||
\(940\) | −1.79955e10 | − | 2.62693e10i | −0.706671 | − | 1.03158i | ||||
\(941\) | −1.29579e10 | −0.506958 | −0.253479 | − | 0.967341i | \(-0.581575\pi\) | ||||
−0.253479 | + | 0.967341i | \(0.581575\pi\) | |||||||
\(942\) | 3.66579e9 | − | 4.12827e10i | 0.142886 | − | 1.60913i | ||||
\(943\) | − | 1.28760e10i | − | 0.500025i | ||||||
\(944\) | 8.77066e9 | + | 3.39746e9i | 0.339336 | + | 0.131447i | ||||
\(945\) | 2.81071e10 | + | 1.12661e10i | 1.08344 | + | 0.434271i | ||||
\(946\) | −8.17493e9 | + | 1.55093e10i | −0.313953 | + | 0.595625i | ||||
\(947\) | 2.11532e10i | 0.809379i | 0.914454 | + | 0.404690i | \(0.132620\pi\) | ||||
−0.914454 | + | 0.404690i | \(0.867380\pi\) | |||||||
\(948\) | −2.52466e10 | + | 3.90730e10i | −0.962439 | + | 1.48952i | ||||
\(949\) | − | 3.23040e10i | − | 1.22694i | ||||||
\(950\) | 4.71211e8 | + | 2.48375e8i | 0.0178313 | + | 0.00939886i | ||||
\(951\) | 1.70511e10 | − | 7.13936e9i | 0.642866 | − | 0.269170i | ||||
\(952\) | 2.89919e9 | + | 2.49844e10i | 0.108905 | + | 0.938513i | ||||
\(953\) | 1.40357e10i | 0.525302i | 0.964891 | + | 0.262651i | \(0.0845968\pi\) | ||||
−0.964891 | + | 0.262651i | \(0.915403\pi\) | |||||||
\(954\) | 4.84611e10 | − | 1.54145e10i | 1.80707 | − | 0.574793i | ||||
\(955\) | −2.25820e9 | −0.0838978 | ||||||||
\(956\) | −2.66779e10 | − | 3.89436e10i | −0.987528 | − | 1.44156i | ||||
\(957\) | −2.45856e9 | − | 5.87183e9i | −0.0906753 | − | 0.216562i | ||||
\(958\) | 7.71297e9 | + | 4.06550e9i | 0.283428 | + | 0.149394i | ||||
\(959\) | 4.32457e10 | 1.58335 | ||||||||
\(960\) | −2.20432e10 | + | 1.59902e10i | −0.804127 | + | 0.583316i | ||||
\(961\) | −8.77029e8 | −0.0318773 | ||||||||
\(962\) | 1.92294e10 | + | 1.01358e10i | 0.696391 | + | 0.367067i | ||||
\(963\) | 3.30082e10 | + | 3.25067e10i | 1.19105 | + | 1.17295i | ||||
\(964\) | −1.51002e10 | − | 2.20428e10i | −0.542891 | − | 0.792496i | ||||
\(965\) | 3.63394e10 | 1.30176 | ||||||||
\(966\) | −2.59169e9 | + | 2.91866e10i | −0.0925046 | + | 1.04175i | ||||
\(967\) | 2.83172e8i | 0.0100706i | 0.999987 | + | 0.00503532i | \(0.00160280\pi\) | ||||
−0.999987 | + | 0.00503532i | \(0.998397\pi\) | |||||||
\(968\) | 1.56386e9 | + | 1.34769e10i | 0.0554158 | + | 0.477558i | ||||
\(969\) | −1.35113e10 | − | 3.22693e10i | −0.477050 | − | 1.13935i | ||||
\(970\) | 6.14051e8 | + | 3.23666e8i | 0.0216025 | + | 0.0113866i | ||||
\(971\) | 4.40952e10i | 1.54570i | 0.634590 | + | 0.772849i | \(0.281169\pi\) | ||||
−0.634590 | + | 0.772849i | \(0.718831\pi\) | |||||||
\(972\) | −1.51682e10 | + | 2.42826e10i | −0.529786 | + | 0.848131i | ||||
\(973\) | 1.46728e8i | 0.00510645i | ||||||||
\(974\) | −8.68351e9 | + | 1.64742e10i | −0.301119 | + | 0.571277i | ||||
\(975\) | −1.47947e8 | − | 3.53345e8i | −0.00511199 | − | 0.0122091i | ||||
\(976\) | 2.21952e10 | + | 8.59766e9i | 0.764160 | + | 0.296010i | ||||
\(977\) | − | 3.64943e10i | − | 1.25197i | −0.779836 | − | 0.625984i | \(-0.784697\pi\) | ||
0.779836 | − | 0.625984i | \(-0.215303\pi\) | |||||||
\(978\) | −2.46666e10 | − | 2.19033e9i | −0.843187 | − | 0.0748728i | ||||
\(979\) | −1.95868e10 | −0.667150 | ||||||||
\(980\) | 6.29503e9 | + | 9.18930e9i | 0.213652 | + | 0.311883i | ||||
\(981\) | 5.06620e9 | + | 4.98924e9i | 0.171333 | + | 0.168730i | ||||
\(982\) | 2.54105e8 | − | 4.82082e8i | 0.00856295 | − | 0.0162454i | ||||
\(983\) | −4.42163e10 | −1.48472 | −0.742362 | − | 0.669999i | \(-0.766294\pi\) | ||||
−0.742362 | + | 0.669999i | \(0.766294\pi\) | |||||||
\(984\) | 1.46359e10 | − | 8.22614e9i | 0.489707 | − | 0.275241i | ||||
\(985\) | −3.38278e9 | −0.112784 | ||||||||
\(986\) | −2.17750e9 | + | 4.13111e9i | −0.0723419 | + | 0.137245i | ||||
\(987\) | −1.72540e10 | − | 4.12080e10i | −0.571188 | − | 1.36418i | ||||
\(988\) | 3.87495e10 | − | 2.65449e10i | 1.27825 | − | 0.875653i | ||||
\(989\) | 1.49830e10 | 0.492505 | ||||||||
\(990\) | −1.11868e10 | − | 3.51698e10i | −0.366424 | − | 1.15198i | ||||
\(991\) | − | 1.76435e10i | − | 0.575874i | −0.957649 | − | 0.287937i | \(-0.907031\pi\) | ||
0.957649 | − | 0.287937i | \(-0.0929695\pi\) | |||||||
\(992\) | −2.05033e10 | − | 2.35600e10i | −0.666857 | − | 0.766276i | ||||
\(993\) | 1.25712e10 | − | 5.26362e9i | 0.407432 | − | 0.170593i | ||||
\(994\) | −3.49928e9 | + | 6.63875e9i | −0.113012 | + | 0.214404i | ||||
\(995\) | − | 2.02766e10i | − | 0.652552i | ||||||
\(996\) | 1.22061e10 | − | 1.88909e10i | 0.391445 | − | 0.605821i | ||||
\(997\) | 4.33270e10i | 1.38460i | 0.721608 | + | 0.692302i | \(0.243403\pi\) | ||||
−0.721608 | + | 0.692302i | \(0.756597\pi\) | |||||||
\(998\) | −5.33197e9 | − | 2.81048e9i | −0.169797 | − | 0.0895000i | ||||
\(999\) | 2.28277e10 | + | 9.14995e9i | 0.724408 | + | 0.290362i |
(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 | 24.8.f.c.11.5 | ✓ | 20 | |
3.2 | odd | 2 | inner | 24.8.f.c.11.16 | yes | 20 | |
4.3 | odd | 2 | 96.8.f.c.47.17 | 20 | |||
8.3 | odd | 2 | inner | 24.8.f.c.11.15 | yes | 20 | |
8.5 | even | 2 | 96.8.f.c.47.18 | 20 | |||
12.11 | even | 2 | 96.8.f.c.47.20 | 20 | |||
24.5 | odd | 2 | 96.8.f.c.47.19 | 20 | |||
24.11 | even | 2 | inner | 24.8.f.c.11.6 | yes | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
24.8.f.c.11.5 | ✓ | 20 | 1.1 | even | 1 | trivial | |
24.8.f.c.11.6 | yes | 20 | 24.11 | even | 2 | inner | |
24.8.f.c.11.15 | yes | 20 | 8.3 | odd | 2 | inner | |
24.8.f.c.11.16 | yes | 20 | 3.2 | odd | 2 | inner | |
96.8.f.c.47.17 | 20 | 4.3 | odd | 2 | |||
96.8.f.c.47.18 | 20 | 8.5 | even | 2 | |||
96.8.f.c.47.19 | 20 | 24.5 | odd | 2 | |||
96.8.f.c.47.20 | 20 | 12.11 | even | 2 |