Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [21,7,Mod(10,21)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(21, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("21.10");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 21 = 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 21.f (of order \(6\), degree \(2\), 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: | \(4.83113575602\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{8} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{7} + 212x^{6} - 787x^{5} + 38792x^{4} - 92833x^{3} + 1563109x^{2} + 3107772x + 38787984 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 3\cdot 7^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 10.3 | ||
Root | \(-2.30325 - 3.98935i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 21.10 |
Dual form | 21.7.f.b.19.3 |
$q$-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 \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).
\(n\) | \(8\) | \(10\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.80325 | + | 3.12332i | 0.225406 | + | 0.390415i | 0.956441 | − | 0.291925i | \(-0.0942957\pi\) |
−0.731035 | + | 0.682340i | \(0.760962\pi\) | |||||||
\(3\) | 13.5000 | + | 7.79423i | 0.500000 | + | 0.288675i | ||||
\(4\) | 25.4966 | − | 44.1614i | 0.398384 | − | 0.690021i | ||||
\(5\) | 71.9311 | − | 41.5295i | 0.575449 | − | 0.332236i | −0.183874 | − | 0.982950i | \(-0.558864\pi\) |
0.759323 | + | 0.650714i | \(0.225530\pi\) | |||||||
\(6\) | 56.2198i | 0.260277i | ||||||||
\(7\) | 77.0894 | + | 334.225i | 0.224750 | + | 0.974416i | ||||
\(8\) | 414.723 | 0.810006 | ||||||||
\(9\) | 121.500 | + | 210.444i | 0.166667 | + | 0.288675i | ||||
\(10\) | 259.420 | + | 149.776i | 0.259420 | + | 0.149776i | ||||
\(11\) | 221.304 | − | 383.310i | 0.166269 | − | 0.287986i | −0.770836 | − | 0.637033i | \(-0.780161\pi\) |
0.937105 | + | 0.349047i | \(0.113495\pi\) | |||||||
\(12\) | 688.408 | − | 397.452i | 0.398384 | − | 0.230007i | ||||
\(13\) | 696.494i | 0.317020i | 0.987357 | + | 0.158510i | \(0.0506691\pi\) | ||||
−0.987357 | + | 0.158510i | \(0.949331\pi\) | |||||||
\(14\) | −904.880 | + | 843.466i | −0.329767 | + | 0.307386i | ||||
\(15\) | 1294.76 | 0.383633 | ||||||||
\(16\) | −883.932 | − | 1531.01i | −0.215804 | − | 0.373783i | ||||
\(17\) | −5447.24 | − | 3144.96i | −1.10874 | − | 0.640131i | −0.170237 | − | 0.985403i | \(-0.554453\pi\) |
−0.938503 | + | 0.345272i | \(0.887787\pi\) | |||||||
\(18\) | −438.190 | + | 758.967i | −0.0751354 | + | 0.130138i | ||||
\(19\) | −2327.56 | + | 1343.82i | −0.339344 | + | 0.195920i | −0.659982 | − | 0.751281i | \(-0.729436\pi\) |
0.320638 | + | 0.947202i | \(0.396103\pi\) | |||||||
\(20\) | − | 4235.44i | − | 0.529430i | ||||||
\(21\) | −1564.32 | + | 5112.89i | −0.168915 | + | 0.552088i | ||||
\(22\) | 1596.27 | 0.149912 | ||||||||
\(23\) | −7885.31 | − | 13657.8i | −0.648090 | − | 1.12252i | −0.983579 | − | 0.180480i | \(-0.942235\pi\) |
0.335489 | − | 0.942044i | \(-0.391098\pi\) | |||||||
\(24\) | 5598.76 | + | 3232.44i | 0.405003 | + | 0.233828i | ||||
\(25\) | −4363.11 | + | 7557.12i | −0.279239 | + | 0.483656i | ||||
\(26\) | −2175.37 | + | 1255.95i | −0.123770 | + | 0.0714584i | ||||
\(27\) | 3788.00i | 0.192450i | ||||||||
\(28\) | 16725.3 | + | 5117.22i | 0.761905 | + | 0.233109i | ||||
\(29\) | −23274.5 | −0.954304 | −0.477152 | − | 0.878821i | \(-0.658331\pi\) | ||||
−0.477152 | + | 0.878821i | \(0.658331\pi\) | |||||||
\(30\) | 2334.78 | + | 4043.95i | 0.0864732 | + | 0.149776i | ||||
\(31\) | 41177.0 | + | 23773.6i | 1.38220 | + | 0.798012i | 0.992419 | − | 0.122897i | \(-0.0392185\pi\) |
0.389778 | + | 0.920909i | \(0.372552\pi\) | |||||||
\(32\) | 16459.0 | − | 28507.9i | 0.502290 | − | 0.869991i | ||||
\(33\) | 5975.21 | − | 3449.79i | 0.166269 | − | 0.0959955i | ||||
\(34\) | − | 22684.6i | − | 0.577158i | ||||||
\(35\) | 19425.3 | + | 20839.7i | 0.453068 | + | 0.486057i | ||||
\(36\) | 12391.3 | 0.265589 | ||||||||
\(37\) | 5079.89 | + | 8798.64i | 0.100288 | + | 0.173704i | 0.911803 | − | 0.410627i | \(-0.134690\pi\) |
−0.811515 | + | 0.584331i | \(0.801357\pi\) | |||||||
\(38\) | −8394.35 | − | 4846.48i | −0.152981 | − | 0.0883234i | ||||
\(39\) | −5428.63 | + | 9402.67i | −0.0915159 | + | 0.158510i | ||||
\(40\) | 29831.5 | − | 17223.2i | 0.466117 | − | 0.269113i | ||||
\(41\) | 38165.4i | 0.553756i | 0.960905 | + | 0.276878i | \(0.0892998\pi\) | ||||
−0.960905 | + | 0.276878i | \(0.910700\pi\) | |||||||
\(42\) | −18790.0 | + | 4333.95i | −0.253618 | + | 0.0584973i | ||||
\(43\) | −151197. | −1.90168 | −0.950841 | − | 0.309679i | \(-0.899779\pi\) | ||||
−0.950841 | + | 0.309679i | \(0.899779\pi\) | |||||||
\(44\) | −11285.0 | − | 19546.2i | −0.132478 | − | 0.229458i | ||||
\(45\) | 17479.3 | + | 10091.7i | 0.191816 | + | 0.110745i | ||||
\(46\) | 28438.4 | − | 49256.7i | 0.292167 | − | 0.506048i | ||||
\(47\) | −43543.1 | + | 25139.6i | −0.419397 | + | 0.242139i | −0.694819 | − | 0.719184i | \(-0.744516\pi\) |
0.275422 | + | 0.961323i | \(0.411182\pi\) | |||||||
\(48\) | − | 27558.3i | − | 0.249189i | ||||||
\(49\) | −105763. | + | 51530.4i | −0.898975 | + | 0.438001i | ||||
\(50\) | −31471.1 | −0.251769 | ||||||||
\(51\) | −49025.1 | − | 84914.0i | −0.369580 | − | 0.640131i | ||||
\(52\) | 30758.1 | + | 17758.2i | 0.218751 | + | 0.126296i | ||||
\(53\) | 99778.2 | − | 172821.i | 0.670206 | − | 1.16083i | −0.307640 | − | 0.951503i | \(-0.599539\pi\) |
0.977846 | − | 0.209328i | \(-0.0671275\pi\) | |||||||
\(54\) | −11831.1 | + | 6830.70i | −0.0751354 | + | 0.0433795i | ||||
\(55\) | − | 36762.6i | − | 0.220962i | ||||||
\(56\) | 31970.7 | + | 138611.i | 0.182049 | + | 0.789283i | ||||
\(57\) | −41896.1 | −0.226229 | ||||||||
\(58\) | −41969.8 | − | 72693.8i | −0.215106 | − | 0.372575i | ||||
\(59\) | 335347. | + | 193612.i | 1.63282 | + | 0.942708i | 0.983219 | + | 0.182431i | \(0.0583968\pi\) |
0.649600 | + | 0.760277i | \(0.274937\pi\) | |||||||
\(60\) | 33012.0 | − | 57178.4i | 0.152833 | − | 0.264715i | ||||
\(61\) | −10203.5 | + | 5890.98i | −0.0449530 | + | 0.0259536i | −0.522308 | − | 0.852757i | \(-0.674929\pi\) |
0.477355 | + | 0.878711i | \(0.341596\pi\) | |||||||
\(62\) | 171479.i | 0.719508i | ||||||||
\(63\) | −60969.3 | + | 56831.3i | −0.243831 | + | 0.227283i | ||||
\(64\) | 5575.73 | 0.0212697 | ||||||||
\(65\) | 28925.0 | + | 50099.6i | 0.105325 | + | 0.182429i | ||||
\(66\) | 21549.6 | + | 12441.7i | 0.0749562 | + | 0.0432760i | ||||
\(67\) | 192138. | − | 332792.i | 0.638834 | − | 1.10649i | −0.346854 | − | 0.937919i | \(-0.612750\pi\) |
0.985689 | − | 0.168575i | \(-0.0539165\pi\) | |||||||
\(68\) | −277772. | + | 160372.i | −0.883408 | + | 0.510036i | ||||
\(69\) | − | 245840.i | − | 0.748350i | ||||||
\(70\) | −30060.4 | + | 98250.6i | −0.0876395 | + | 0.286445i | ||||
\(71\) | 156126. | 0.436213 | 0.218107 | − | 0.975925i | \(-0.430012\pi\) | ||||
0.218107 | + | 0.975925i | \(0.430012\pi\) | |||||||
\(72\) | 50388.8 | + | 87276.0i | 0.135001 | + | 0.233828i | ||||
\(73\) | 325227. | + | 187770.i | 0.836022 | + | 0.482677i | 0.855910 | − | 0.517125i | \(-0.172998\pi\) |
−0.0198883 | + | 0.999802i | \(0.506331\pi\) | |||||||
\(74\) | −18320.6 | + | 31732.3i | −0.0452111 | + | 0.0783080i | ||||
\(75\) | −117804. | + | 68014.1i | −0.279239 | + | 0.161219i | ||||
\(76\) | 137051.i | 0.312206i | ||||||||
\(77\) | 145172. | + | 44416.2i | 0.317988 | + | 0.0972902i | ||||
\(78\) | −39156.7 | −0.0825130 | ||||||||
\(79\) | −16591.8 | − | 28737.9i | −0.0336521 | − | 0.0582872i | 0.848709 | − | 0.528860i | \(-0.177380\pi\) |
−0.882361 | + | 0.470573i | \(0.844047\pi\) | |||||||
\(80\) | −127164. | − | 73418.4i | −0.248368 | − | 0.143395i | ||||
\(81\) | −29524.5 | + | 51137.9i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | −119203. | + | 68821.8i | −0.216195 | + | 0.124820i | ||||
\(83\) | − | 984986.i | − | 1.72264i | −0.508059 | − | 0.861322i | \(-0.669637\pi\) | ||
0.508059 | − | 0.861322i | \(-0.330363\pi\) | |||||||
\(84\) | 185907. | + | 199444.i | 0.313660 | + | 0.336498i | ||||
\(85\) | −522434. | −0.850697 | ||||||||
\(86\) | −272646. | − | 472237.i | −0.428651 | − | 0.742446i | ||||
\(87\) | −314206. | − | 181407.i | −0.477152 | − | 0.275484i | ||||
\(88\) | 91779.9 | − | 158967.i | 0.134679 | − | 0.233271i | ||||
\(89\) | −227430. | + | 131307.i | −0.322609 | + | 0.186259i | −0.652555 | − | 0.757741i | \(-0.726303\pi\) |
0.329946 | + | 0.944000i | \(0.392970\pi\) | |||||||
\(90\) | 72791.1i | 0.0998507i | ||||||||
\(91\) | −232786. | + | 53692.3i | −0.308910 | + | 0.0712505i | ||||
\(92\) | −804193. | −1.03275 | ||||||||
\(93\) | 370593. | + | 641886.i | 0.460732 | + | 0.798012i | ||||
\(94\) | −157038. | − | 90666.0i | −0.189070 | − | 0.109159i | ||||
\(95\) | −111616. | + | 193325.i | −0.130184 | + | 0.225484i | ||||
\(96\) | 444394. | − | 256571.i | 0.502290 | − | 0.289997i | ||||
\(97\) | 575147.i | 0.630179i | 0.949062 | + | 0.315089i | \(0.102034\pi\) | ||||
−0.949062 | + | 0.315089i | \(0.897966\pi\) | |||||||
\(98\) | −351664. | − | 237411.i | −0.373637 | − | 0.252245i | ||||
\(99\) | 107554. | 0.110846 | ||||||||
\(100\) | 222489. | + | 385362.i | 0.222489 | + | 0.385362i | ||||
\(101\) | 634688. | + | 366437.i | 0.616022 | + | 0.355661i | 0.775319 | − | 0.631570i | \(-0.217589\pi\) |
−0.159297 | + | 0.987231i | \(0.550923\pi\) | |||||||
\(102\) | 176809. | − | 306242.i | 0.166611 | − | 0.288579i | ||||
\(103\) | 908207. | − | 524353.i | 0.831138 | − | 0.479858i | −0.0231042 | − | 0.999733i | \(-0.507355\pi\) |
0.854242 | + | 0.519875i | \(0.174022\pi\) | |||||||
\(104\) | 288852.i | 0.256788i | ||||||||
\(105\) | 99812.3 | + | 432741.i | 0.0862216 | + | 0.373818i | ||||
\(106\) | 719700. | 0.604274 | ||||||||
\(107\) | −587412. | − | 1.01743e6i | −0.479503 | − | 0.830524i | 0.520221 | − | 0.854032i | \(-0.325850\pi\) |
−0.999724 | + | 0.0235083i | \(0.992516\pi\) | |||||||
\(108\) | 167283. | + | 96580.9i | 0.132795 | + | 0.0766690i | ||||
\(109\) | −367045. | + | 635741.i | −0.283426 | + | 0.490908i | −0.972226 | − | 0.234043i | \(-0.924804\pi\) |
0.688800 | + | 0.724951i | \(0.258138\pi\) | |||||||
\(110\) | 114821. | − | 66292.1i | 0.0862669 | − | 0.0498062i | ||||
\(111\) | 158375.i | 0.115803i | ||||||||
\(112\) | 443561. | − | 413457.i | 0.315718 | − | 0.294291i | ||||
\(113\) | 2.04925e6 | 1.42023 | 0.710116 | − | 0.704085i | \(-0.248643\pi\) | ||||
0.710116 | + | 0.704085i | \(0.248643\pi\) | |||||||
\(114\) | −75549.2 | − | 130855.i | −0.0509935 | − | 0.0883234i | ||||
\(115\) | −1.13440e6 | − | 654945.i | −0.745885 | − | 0.430637i | ||||
\(116\) | −593421. | + | 1.02783e6i | −0.380180 | + | 0.658490i | ||||
\(117\) | −146573. | + | 84624.0i | −0.0915159 | + | 0.0528367i | ||||
\(118\) | 1.39653e6i | 0.849969i | ||||||||
\(119\) | 631201. | − | 2.06304e6i | 0.374564 | − | 1.22424i | ||||
\(120\) | 536967. | 0.310745 | ||||||||
\(121\) | 787829. | + | 1.36456e6i | 0.444709 | + | 0.770259i | ||||
\(122\) | −36798.9 | − | 21245.8i | −0.0202654 | − | 0.0117002i | ||||
\(123\) | −297470. | + | 515233.i | −0.159856 | + | 0.276878i | ||||
\(124\) | 2.09975e6 | − | 1.21229e6i | 1.10129 | − | 0.635830i | ||||
\(125\) | 2.02259e6i | 1.03556i | ||||||||
\(126\) | −287445. | − | 87945.6i | −0.143696 | − | 0.0439645i | ||||
\(127\) | −1.64688e6 | −0.803991 | −0.401995 | − | 0.915642i | \(-0.631683\pi\) | ||||
−0.401995 | + | 0.915642i | \(0.631683\pi\) | |||||||
\(128\) | −1.04332e6 | − | 1.80709e6i | −0.497495 | − | 0.861687i | ||||
\(129\) | −2.04116e6 | − | 1.17846e6i | −0.950841 | − | 0.548968i | ||||
\(130\) | −104318. | + | 180684.i | −0.0474821 | + | 0.0822413i | ||||
\(131\) | −1.78472e6 | + | 1.03041e6i | −0.793882 | + | 0.458348i | −0.841327 | − | 0.540526i | \(-0.818225\pi\) |
0.0474457 | + | 0.998874i | \(0.484892\pi\) | |||||||
\(132\) | − | 351831.i | − | 0.152972i | ||||||
\(133\) | −628568. | − | 674335.i | −0.267176 | − | 0.286629i | ||||
\(134\) | 1.38589e6 | 0.575989 | ||||||||
\(135\) | 157313. | + | 272475.i | 0.0639388 | + | 0.110745i | ||||
\(136\) | −2.25909e6 | − | 1.30429e6i | −0.898085 | − | 0.518510i | ||||
\(137\) | −1.61460e6 | + | 2.79657e6i | −0.627919 | + | 1.08759i | 0.360050 | + | 0.932933i | \(0.382760\pi\) |
−0.987969 | + | 0.154654i | \(0.950574\pi\) | |||||||
\(138\) | 767836. | − | 443310.i | 0.292167 | − | 0.168683i | ||||
\(139\) | − | 4.06719e6i | − | 1.51443i | −0.653163 | − | 0.757217i | \(-0.726558\pi\) | ||
0.653163 | − | 0.757217i | \(-0.273442\pi\) | |||||||
\(140\) | 1.41559e6 | − | 326507.i | 0.515885 | − | 0.118990i | ||||
\(141\) | −783776. | −0.279598 | ||||||||
\(142\) | 281533. | + | 487630.i | 0.0983252 | + | 0.170304i | ||||
\(143\) | 266973. | + | 154137.i | 0.0912976 | + | 0.0527107i | ||||
\(144\) | 214795. | − | 372037.i | 0.0719346 | − | 0.124594i | ||||
\(145\) | −1.67416e6 | + | 966578.i | −0.549153 | + | 0.317054i | ||||
\(146\) | 1.35438e6i | 0.435194i | ||||||||
\(147\) | −1.82945e6 | − | 128684.i | −0.575927 | − | 0.0405111i | ||||
\(148\) | 518080. | 0.159813 | ||||||||
\(149\) | 1.39737e6 | + | 2.42031e6i | 0.422427 | + | 0.731666i | 0.996176 | − | 0.0873655i | \(-0.0278448\pi\) |
−0.573749 | + | 0.819031i | \(0.694511\pi\) | |||||||
\(150\) | −424860. | − | 245293.i | −0.125884 | − | 0.0726794i | ||||
\(151\) | −301549. | + | 522299.i | −0.0875846 | + | 0.151701i | −0.906490 | − | 0.422228i | \(-0.861248\pi\) |
0.818905 | + | 0.573929i | \(0.194581\pi\) | |||||||
\(152\) | −965293. | + | 557312.i | −0.274871 | + | 0.158697i | ||||
\(153\) | − | 1.52845e6i | − | 0.426754i | ||||||
\(154\) | 123055. | + | 533512.i | 0.0336929 | + | 0.146077i | ||||
\(155\) | 3.94921e6 | 1.06051 | ||||||||
\(156\) | 276823. | + | 479472.i | 0.0729170 | + | 0.126296i | ||||
\(157\) | −1.23763e6 | − | 714546.i | −0.319810 | − | 0.184642i | 0.331498 | − | 0.943456i | \(-0.392446\pi\) |
−0.651308 | + | 0.758814i | \(0.725779\pi\) | |||||||
\(158\) | 59838.4 | − | 103643.i | 0.0151708 | − | 0.0262766i | ||||
\(159\) | 2.69401e6 | − | 1.55539e6i | 0.670206 | − | 0.386943i | ||||
\(160\) | − | 2.73414e6i | − | 0.667514i | ||||||
\(161\) | 3.95689e6 | − | 3.68833e6i | 0.948148 | − | 0.883797i | ||||
\(162\) | −212960. | −0.0500903 | ||||||||
\(163\) | 2.78644e6 | + | 4.82625e6i | 0.643408 | + | 1.11442i | 0.984667 | + | 0.174446i | \(0.0558135\pi\) |
−0.341259 | + | 0.939969i | \(0.610853\pi\) | |||||||
\(164\) | 1.68544e6 | + | 973087.i | 0.382103 | + | 0.220607i | ||||
\(165\) | 286536. | − | 496295.i | 0.0637862 | − | 0.110481i | ||||
\(166\) | 3.07643e6 | − | 1.77618e6i | 0.672546 | − | 0.388295i | ||||
\(167\) | 2.24388e6i | 0.481781i | 0.970552 | + | 0.240890i | \(0.0774394\pi\) | ||||
−0.970552 | + | 0.240890i | \(0.922561\pi\) | |||||||
\(168\) | −648758. | + | 2.12043e6i | −0.136822 | + | 0.447194i | ||||
\(169\) | 4.34171e6 | 0.899498 | ||||||||
\(170\) | −942080. | − | 1.63173e6i | −0.191752 | − | 0.332125i | ||||
\(171\) | −565597. | − | 326548.i | −0.113115 | − | 0.0653068i | ||||
\(172\) | −3.85501e6 | + | 6.67707e6i | −0.757600 | + | 1.31220i | ||||
\(173\) | −5.95864e6 | + | 3.44022e6i | −1.15082 | + | 0.664428i | −0.949088 | − | 0.315012i | \(-0.897992\pi\) |
−0.201736 | + | 0.979440i | \(0.564658\pi\) | |||||||
\(174\) | − | 1.30849e6i | − | 0.248383i | ||||||
\(175\) | −2.86213e6 | − | 875685.i | −0.534041 | − | 0.163393i | ||||
\(176\) | −782471. | −0.143526 | ||||||||
\(177\) | 3.01812e6 | + | 5.22754e6i | 0.544273 | + | 0.942708i | ||||
\(178\) | −820225. | − | 473557.i | −0.145436 | − | 0.0839677i | ||||
\(179\) | 3.94643e6 | − | 6.83543e6i | 0.688091 | − | 1.19181i | −0.284364 | − | 0.958716i | \(-0.591782\pi\) |
0.972455 | − | 0.233092i | \(-0.0748843\pi\) | |||||||
\(180\) | 891323. | − | 514606.i | 0.152833 | − | 0.0882383i | ||||
\(181\) | 2.63639e6i | 0.444604i | 0.974978 | + | 0.222302i | \(0.0713571\pi\) | ||||
−0.974978 | + | 0.222302i | \(0.928643\pi\) | |||||||
\(182\) | −587469. | − | 630243.i | −0.0974475 | − | 0.104543i | ||||
\(183\) | −183663. | −0.0299687 | ||||||||
\(184\) | −3.27022e6 | − | 5.66418e6i | −0.524956 | − | 0.909251i | ||||
\(185\) | 730805. | + | 421931.i | 0.115421 | + | 0.0666386i | ||||
\(186\) | −1.33654e6 | + | 2.31496e6i | −0.207704 | + | 0.359754i | ||||
\(187\) | −2.41099e6 | + | 1.39199e6i | −0.368698 | + | 0.212868i | ||||
\(188\) | 2.56390e6i | 0.385858i | ||||||||
\(189\) | −1.26604e6 | + | 292014.i | −0.187527 | + | 0.0432532i | ||||
\(190\) | −805087. | −0.117377 | ||||||||
\(191\) | −6.17120e6 | − | 1.06888e7i | −0.885665 | − | 1.53402i | −0.844949 | − | 0.534846i | \(-0.820370\pi\) |
−0.0407156 | − | 0.999171i | \(-0.512964\pi\) | |||||||
\(192\) | 75272.3 | + | 43458.5i | 0.0106349 | + | 0.00614004i | ||||
\(193\) | 6.69614e6 | − | 1.15981e7i | 0.931435 | − | 1.61329i | 0.150564 | − | 0.988600i | \(-0.451891\pi\) |
0.780871 | − | 0.624692i | \(-0.214776\pi\) | |||||||
\(194\) | −1.79637e6 | + | 1.03713e6i | −0.246031 | + | 0.142046i | ||||
\(195\) | 901793.i | 0.121619i | ||||||||
\(196\) | −420954. | + | 5.98451e6i | −0.0559071 | + | 0.794804i | ||||
\(197\) | −9.42468e6 | −1.23273 | −0.616365 | − | 0.787460i | \(-0.711396\pi\) | ||||
−0.616365 | + | 0.787460i | \(0.711396\pi\) | |||||||
\(198\) | 193946. | + | 335925.i | 0.0249854 | + | 0.0432760i | ||||
\(199\) | 4.91639e6 | + | 2.83848e6i | 0.623860 | + | 0.360186i | 0.778370 | − | 0.627805i | \(-0.216047\pi\) |
−0.154510 | + | 0.987991i | \(0.549380\pi\) | |||||||
\(200\) | −1.80948e6 | + | 3.13411e6i | −0.226185 | + | 0.391764i | ||||
\(201\) | 5.18772e6 | − | 2.99513e6i | 0.638834 | − | 0.368831i | ||||
\(202\) | 2.64311e6i | 0.320672i | ||||||||
\(203\) | −1.79422e6 | − | 7.77892e6i | −0.214480 | − | 0.929890i | ||||
\(204\) | −4.99989e6 | −0.588939 | ||||||||
\(205\) | 1.58499e6 | + | 2.74528e6i | 0.183977 | + | 0.318658i | ||||
\(206\) | 3.27545e6 | + | 1.89108e6i | 0.374687 | + | 0.216326i | ||||
\(207\) | 1.91613e6 | − | 3.31883e6i | 0.216030 | − | 0.374175i | ||||
\(208\) | 1.06634e6 | − | 615653.i | 0.118497 | − | 0.0684142i | ||||
\(209\) | 1.18957e6i | 0.130302i | ||||||||
\(210\) | −1.17160e6 | + | 1.09209e6i | −0.126509 | + | 0.117923i | ||||
\(211\) | 1.05196e6 | 0.111983 | 0.0559914 | − | 0.998431i | \(-0.482168\pi\) | ||||
0.0559914 | + | 0.998431i | \(0.482168\pi\) | |||||||
\(212\) | −5.08801e6 | − | 8.81269e6i | −0.533999 | − | 0.924913i | ||||
\(213\) | 2.10770e6 | + | 1.21688e6i | 0.218107 | + | 0.125924i | ||||
\(214\) | 2.11850e6 | − | 3.66935e6i | 0.216166 | − | 0.374410i | ||||
\(215\) | −1.08758e7 | + | 6.27913e6i | −1.09432 | + | 0.631807i | ||||
\(216\) | 1.57097e6i | 0.155886i | ||||||||
\(217\) | −4.77141e6 | + | 1.55951e7i | −0.466946 | + | 1.52619i | ||||
\(218\) | −2.64750e6 | −0.255544 | ||||||||
\(219\) | 2.92704e6 | + | 5.06978e6i | 0.278674 | + | 0.482677i | ||||
\(220\) | −1.62348e6 | − | 937319.i | −0.152469 | − | 0.0880277i | ||||
\(221\) | 2.19045e6 | − | 3.79397e6i | 0.202935 | − | 0.351493i | ||||
\(222\) | −494657. | + | 285591.i | −0.0452111 | + | 0.0261027i | ||||
\(223\) | − | 9.96615e6i | − | 0.898696i | −0.893357 | − | 0.449348i | \(-0.851656\pi\) | ||
0.893357 | − | 0.449348i | \(-0.148344\pi\) | |||||||
\(224\) | 1.07969e7 | + | 3.30336e6i | 0.960624 | + | 0.293908i | ||||
\(225\) | −2.12047e6 | −0.186159 | ||||||||
\(226\) | 3.69531e6 | + | 6.40046e6i | 0.320129 | + | 0.554480i | ||||
\(227\) | 1.59963e7 | + | 9.23545e6i | 1.36754 | + | 0.789552i | 0.990614 | − | 0.136690i | \(-0.0436464\pi\) |
0.376930 | + | 0.926242i | \(0.376980\pi\) | |||||||
\(228\) | −1.06821e6 | + | 1.85019e6i | −0.0901262 | + | 0.156103i | ||||
\(229\) | 1.17915e7 | − | 6.80784e6i | 0.981892 | − | 0.566896i | 0.0790512 | − | 0.996871i | \(-0.474811\pi\) |
0.902841 | + | 0.429975i | \(0.141478\pi\) | |||||||
\(230\) | − | 4.72412e6i | − | 0.388273i | ||||||
\(231\) | 1.61363e6 | + | 1.73112e6i | 0.130909 | + | 0.140440i | ||||
\(232\) | −9.65248e6 | −0.772992 | ||||||||
\(233\) | −5103.02 | − | 8838.68i | −0.000403422 | − | 0.000698747i | 0.865824 | − | 0.500349i | \(-0.166795\pi\) |
−0.866227 | + | 0.499651i | \(0.833462\pi\) | |||||||
\(234\) | −528616. | − | 305196.i | −0.0412565 | − | 0.0238195i | ||||
\(235\) | −2.08807e6 | + | 3.61664e6i | −0.160895 | + | 0.278678i | ||||
\(236\) | 1.71004e7 | − | 9.87291e6i | 1.30098 | − | 0.751120i | ||||
\(237\) | − | 517281.i | − | 0.0388581i | ||||||
\(238\) | 7.58176e6 | − | 1.74874e6i | 0.562392 | − | 0.129717i | ||||
\(239\) | 2.49567e6 | 0.182807 | 0.0914037 | − | 0.995814i | \(-0.470865\pi\) | ||||
0.0914037 | + | 0.995814i | \(0.470865\pi\) | |||||||
\(240\) | −1.14448e6 | − | 1.98230e6i | −0.0827894 | − | 0.143395i | ||||
\(241\) | −4.73752e6 | − | 2.73521e6i | −0.338454 | − | 0.195407i | 0.321134 | − | 0.947034i | \(-0.395936\pi\) |
−0.659588 | + | 0.751627i | \(0.729269\pi\) | |||||||
\(242\) | −2.84131e6 | + | 4.92129e6i | −0.200480 | + | 0.347242i | ||||
\(243\) | −797162. | + | 460241.i | −0.0555556 | + | 0.0320750i | ||||
\(244\) | 600800.i | 0.0413581i | ||||||||
\(245\) | −5.46766e6 | + | 8.09894e6i | −0.371795 | + | 0.550719i | ||||
\(246\) | −2.14565e6 | −0.144130 | ||||||||
\(247\) | −935961. | − | 1.62113e6i | −0.0621108 | − | 0.107579i | ||||
\(248\) | 1.70771e7 | + | 9.85944e6i | 1.11959 | + | 0.646394i | ||||
\(249\) | 7.67720e6 | − | 1.32973e7i | 0.497285 | − | 0.861322i | ||||
\(250\) | −6.31718e6 | + | 3.64723e6i | −0.404300 | + | 0.233423i | ||||
\(251\) | 2.18424e6i | 0.138127i | 0.997612 | + | 0.0690637i | \(0.0220012\pi\) | ||||
−0.997612 | + | 0.0690637i | \(0.977999\pi\) | |||||||
\(252\) | 955241. | + | 4.14149e6i | 0.0596913 | + | 0.258795i | ||||
\(253\) | −6.98020e6 | −0.431029 | ||||||||
\(254\) | −2.96974e6 | − | 5.14374e6i | −0.181225 | − | 0.313890i | ||||
\(255\) | −7.05286e6 | − | 4.07197e6i | −0.425349 | − | 0.245575i | ||||
\(256\) | 3.94117e6 | − | 6.82631e6i | 0.234912 | − | 0.406880i | ||||
\(257\) | −2.72638e7 | + | 1.57408e7i | −1.60615 | + | 0.927313i | −0.615933 | + | 0.787799i | \(0.711221\pi\) |
−0.990220 | + | 0.139514i | \(0.955446\pi\) | |||||||
\(258\) | − | 8.50027e6i | − | 0.494964i | ||||||
\(259\) | −2.54912e6 | + | 2.37611e6i | −0.146720 | + | 0.136762i | ||||
\(260\) | 2.94996e6 | 0.167840 | ||||||||
\(261\) | −2.82785e6 | − | 4.89799e6i | −0.159051 | − | 0.275484i | ||||
\(262\) | −6.43659e6 | − | 3.71616e6i | −0.357892 | − | 0.206629i | ||||
\(263\) | −3.28881e6 | + | 5.69639e6i | −0.180789 | + | 0.313136i | −0.942149 | − | 0.335193i | \(-0.891198\pi\) |
0.761360 | + | 0.648329i | \(0.224532\pi\) | |||||||
\(264\) | 2.47806e6 | − | 1.43071e6i | 0.134679 | − | 0.0777569i | ||||
\(265\) | − | 1.65749e7i | − | 0.890665i | ||||||
\(266\) | 972699. | − | 3.17921e6i | 0.0516813 | − | 0.168918i | ||||
\(267\) | −4.09373e6 | −0.215073 | ||||||||
\(268\) | −9.79771e6 | − | 1.69701e7i | −0.509003 | − | 0.881619i | ||||
\(269\) | 190420. | + | 109939.i | 0.00978263 | + | 0.00564801i | 0.504883 | − | 0.863188i | \(-0.331536\pi\) |
−0.495101 | + | 0.868836i | \(0.664869\pi\) | |||||||
\(270\) | −567351. | + | 982680.i | −0.0288244 | + | 0.0499253i | ||||
\(271\) | −2.41082e7 | + | 1.39189e7i | −1.21132 | + | 0.699354i | −0.963046 | − | 0.269337i | \(-0.913196\pi\) |
−0.248270 | + | 0.968691i | \(0.579862\pi\) | |||||||
\(272\) | 1.11197e7i | 0.552570i | ||||||||
\(273\) | −3.56109e6 | − | 1.08954e6i | −0.175023 | − | 0.0535494i | ||||
\(274\) | −1.16461e7 | −0.566147 | ||||||||
\(275\) | 1.93115e6 | + | 3.34485e6i | 0.0928576 | + | 0.160834i | ||||
\(276\) | −1.08566e7 | − | 6.26807e6i | −0.516377 | − | 0.298130i | ||||
\(277\) | 2.87725e6 | − | 4.98354e6i | 0.135375 | − | 0.234476i | −0.790366 | − | 0.612635i | \(-0.790109\pi\) |
0.925741 | + | 0.378159i | \(0.123443\pi\) | |||||||
\(278\) | 1.27032e7 | − | 7.33417e6i | 0.591258 | − | 0.341363i | ||||
\(279\) | 1.15540e7i | 0.532008i | ||||||||
\(280\) | 8.05612e6 | + | 8.64270e6i | 0.366988 | + | 0.393709i | ||||
\(281\) | 1.75833e7 | 0.792467 | 0.396233 | − | 0.918150i | \(-0.370317\pi\) | ||||
0.396233 | + | 0.918150i | \(0.370317\pi\) | |||||||
\(282\) | −1.41334e6 | − | 2.44798e6i | −0.0630232 | − | 0.109159i | ||||
\(283\) | 1.27466e7 | + | 7.35922e6i | 0.562385 | + | 0.324693i | 0.754102 | − | 0.656757i | \(-0.228072\pi\) |
−0.191717 | + | 0.981450i | \(0.561406\pi\) | |||||||
\(284\) | 3.98067e6 | − | 6.89472e6i | 0.173780 | − | 0.300997i | ||||
\(285\) | −3.01363e6 | + | 1.73992e6i | −0.130184 | + | 0.0751615i | ||||
\(286\) | 1.11179e6i | 0.0475253i | ||||||||
\(287\) | −1.27558e7 | + | 2.94215e6i | −0.539589 | + | 0.124457i | ||||
\(288\) | 7.99909e6 | 0.334860 | ||||||||
\(289\) | 7.71280e6 | + | 1.33590e7i | 0.319535 | + | 0.553451i | ||||
\(290\) | −6.03787e6 | − | 3.48597e6i | −0.247565 | − | 0.142932i | ||||
\(291\) | −4.48283e6 | + | 7.76448e6i | −0.181917 | + | 0.315089i | ||||
\(292\) | 1.65843e7 | − | 9.57497e6i | 0.666115 | − | 0.384582i | ||||
\(293\) | − | 3.49743e6i | − | 0.139042i | −0.997580 | − | 0.0695210i | \(-0.977853\pi\) | ||
0.997580 | − | 0.0695210i | \(-0.0221471\pi\) | |||||||
\(294\) | −2.89703e6 | − | 5.94600e6i | −0.114001 | − | 0.233982i | ||||
\(295\) | 3.21625e7 | 1.25280 | ||||||||
\(296\) | 2.10675e6 | + | 3.64900e6i | 0.0812339 | + | 0.140701i | ||||
\(297\) | 1.45198e6 | + | 838299.i | 0.0554230 | + | 0.0319985i | ||||
\(298\) | −5.03961e6 | + | 8.72886e6i | −0.190436 | + | 0.329844i | ||||
\(299\) | 9.51254e6 | − | 5.49207e6i | 0.355863 | − | 0.205458i | ||||
\(300\) | 6.93651e6i | 0.256908i | ||||||||
\(301\) | −1.16557e7 | − | 5.05338e7i | −0.427404 | − | 1.85303i | ||||
\(302\) | −2.17508e6 | −0.0789685 | ||||||||
\(303\) | 5.71219e6 | + | 9.89381e6i | 0.205341 | + | 0.355661i | ||||
\(304\) | 4.11481e6 | + | 2.37569e6i | 0.146463 | + | 0.0845607i | ||||
\(305\) | −489299. | + | 847490.i | −0.0172455 | + | 0.0298700i | ||||
\(306\) | 4.77385e6 | − | 2.75618e6i | 0.166611 | − | 0.0961930i | ||||
\(307\) | 3.99694e7i | 1.38138i | 0.723152 | + | 0.690689i | \(0.242692\pi\) | ||||
−0.723152 | + | 0.690689i | \(0.757308\pi\) | |||||||
\(308\) | 5.66287e6 | − | 5.27853e6i | 0.193814 | − | 0.180659i | ||||
\(309\) | 1.63477e7 | 0.554092 | ||||||||
\(310\) | 7.12142e6 | + | 1.23347e7i | 0.239046 | + | 0.414040i | ||||
\(311\) | −2.88815e7 | − | 1.66747e7i | −0.960148 | − | 0.554342i | −0.0639296 | − | 0.997954i | \(-0.520363\pi\) |
−0.896219 | + | 0.443613i | \(0.853697\pi\) | |||||||
\(312\) | −2.25138e6 | + | 3.89950e6i | −0.0741284 | + | 0.128394i | ||||
\(313\) | 1.62725e7 | − | 9.39495e6i | 0.530667 | − | 0.306381i | −0.210621 | − | 0.977568i | \(-0.567549\pi\) |
0.741288 | + | 0.671187i | \(0.234215\pi\) | |||||||
\(314\) | − | 5.15402e6i | − | 0.166478i | ||||||
\(315\) | −2.02542e6 | + | 6.61996e6i | −0.0648012 | + | 0.211799i | ||||
\(316\) | −1.69214e6 | −0.0536259 | ||||||||
\(317\) | 1.01986e7 | + | 1.76645e7i | 0.320156 | + | 0.554527i | 0.980520 | − | 0.196419i | \(-0.0629312\pi\) |
−0.660364 | + | 0.750946i | \(0.729598\pi\) | |||||||
\(318\) | 9.71596e6 | + | 5.60951e6i | 0.302137 | + | 0.174439i | ||||
\(319\) | −5.15075e6 | + | 8.92136e6i | −0.158671 | + | 0.274827i | ||||
\(320\) | 401068. | − | 231557.i | 0.0122396 | − | 0.00706656i | ||||
\(321\) | − | 1.83137e7i | − | 0.553682i | ||||||
\(322\) | 1.86551e7 | + | 5.70764e6i | 0.558766 | + | 0.170958i | ||||
\(323\) | 1.69050e7 | 0.501659 | ||||||||
\(324\) | 1.50555e6 | + | 2.60768e6i | 0.0442649 | + | 0.0766690i | ||||
\(325\) | −5.26349e6 | − | 3.03888e6i | −0.153329 | − | 0.0885244i | ||||
\(326\) | −1.00493e7 | + | 1.74059e7i | −0.290056 | + | 0.502393i | ||||
\(327\) | −9.91021e6 | + | 5.72167e6i | −0.283426 | + | 0.163636i | ||||
\(328\) | 1.58281e7i | 0.448545i | ||||||||
\(329\) | −1.17590e7 | − | 1.26152e7i | −0.330204 | − | 0.354247i | ||||
\(330\) | 2.06678e6 | 0.0575113 | ||||||||
\(331\) | 1.06774e7 | + | 1.84939e7i | 0.294431 | + | 0.509969i | 0.974852 | − | 0.222852i | \(-0.0715366\pi\) |
−0.680422 | + | 0.732821i | \(0.738203\pi\) | |||||||
\(332\) | −4.34983e7 | − | 2.51138e7i | −1.18866 | − | 0.686274i | ||||
\(333\) | −1.23441e6 | + | 2.13807e6i | −0.0334294 | + | 0.0579014i | ||||
\(334\) | −7.00834e6 | + | 4.04627e6i | −0.188094 | + | 0.108596i | ||||
\(335\) | − | 3.19175e7i | − | 0.848974i | ||||||
\(336\) | 9.21066e6 | − | 2.12445e6i | 0.242813 | − | 0.0560052i | ||||
\(337\) | −1.98824e7 | −0.519493 | −0.259746 | − | 0.965677i | \(-0.583639\pi\) | ||||
−0.259746 | + | 0.965677i | \(0.583639\pi\) | |||||||
\(338\) | 7.82918e6 | + | 1.35605e7i | 0.202753 | + | 0.351178i | ||||
\(339\) | 2.76649e7 | + | 1.59723e7i | 0.710116 | + | 0.409986i | ||||
\(340\) | −1.33203e7 | + | 2.30714e7i | −0.338904 | + | 0.586999i | ||||
\(341\) | 1.82253e7 | − | 1.05224e7i | 0.459633 | − | 0.265369i | ||||
\(342\) | − | 2.35539e6i | − | 0.0588823i | ||||||
\(343\) | −2.53760e7 | − | 3.13763e7i | −0.628840 | − | 0.777535i | ||||
\(344\) | −6.27049e7 | −1.54037 | ||||||||
\(345\) | −1.02096e7 | − | 1.76835e7i | −0.248628 | − | 0.430637i | ||||
\(346\) | −2.14898e7 | − | 1.24072e7i | −0.518806 | − | 0.299533i | ||||
\(347\) | 1.66198e7 | − | 2.87863e7i | 0.397774 | − | 0.688965i | −0.595677 | − | 0.803224i | \(-0.703116\pi\) |
0.993451 | + | 0.114259i | \(0.0364495\pi\) | |||||||
\(348\) | −1.60224e7 | + | 9.25051e6i | −0.380180 | + | 0.219497i | ||||
\(349\) | − | 2.57850e7i | − | 0.606584i | −0.952898 | − | 0.303292i | \(-0.901914\pi\) | ||
0.952898 | − | 0.303292i | \(-0.0980858\pi\) | |||||||
\(350\) | −2.42609e6 | − | 1.05184e7i | −0.0565851 | − | 0.245328i | ||||
\(351\) | −2.63832e6 | −0.0610106 | ||||||||
\(352\) | −7.28490e6 | − | 1.26178e7i | −0.167030 | − | 0.289305i | ||||
\(353\) | −4.82036e7 | − | 2.78303e7i | −1.09586 | − | 0.632695i | −0.160729 | − | 0.986999i | \(-0.551385\pi\) |
−0.935130 | + | 0.354304i | \(0.884718\pi\) | |||||||
\(354\) | −1.08848e7 | + | 1.88531e7i | −0.245365 | + | 0.424985i | ||||
\(355\) | 1.12303e7 | − | 6.48381e6i | 0.251019 | − | 0.144926i | ||||
\(356\) | 1.33915e7i | 0.296810i | ||||||||
\(357\) | 2.46010e7 | − | 2.29314e7i | 0.540691 | − | 0.503994i | ||||
\(358\) | 2.84656e7 | 0.620400 | ||||||||
\(359\) | 8.08714e6 | + | 1.40073e7i | 0.174788 | + | 0.302742i | 0.940088 | − | 0.340932i | \(-0.110743\pi\) |
−0.765300 | + | 0.643674i | \(0.777409\pi\) | |||||||
\(360\) | 7.24905e6 | + | 4.18524e6i | 0.155372 | + | 0.0897043i | ||||
\(361\) | −1.99112e7 | + | 3.44873e7i | −0.423230 | + | 0.733056i | ||||
\(362\) | −8.23428e6 | + | 4.75406e6i | −0.173580 | + | 0.100217i | ||||
\(363\) | 2.45621e7i | 0.513506i | ||||||||
\(364\) | −3.56411e6 | + | 1.16491e7i | −0.0739004 | + | 0.241539i | ||||
\(365\) | 3.11919e7 | 0.641451 | ||||||||
\(366\) | −331190. | − | 573637.i | −0.00675513 | − | 0.0117002i | ||||
\(367\) | 9.72318e6 | + | 5.61368e6i | 0.196703 | + | 0.113566i | 0.595117 | − | 0.803639i | \(-0.297106\pi\) |
−0.398414 | + | 0.917206i | \(0.630439\pi\) | |||||||
\(368\) | −1.39401e7 | + | 2.41450e7i | −0.279720 | + | 0.484490i | ||||
\(369\) | −8.03169e6 | + | 4.63710e6i | −0.159856 | + | 0.0922926i | ||||
\(370\) | 3.04339e6i | 0.0600830i | ||||||||
\(371\) | 6.54529e7 | + | 2.00257e7i | 1.28176 | + | 0.392162i | ||||
\(372\) | 3.77954e7 | 0.734194 | ||||||||
\(373\) | −1.99988e7 | − | 3.46389e7i | −0.385369 | − | 0.667479i | 0.606451 | − | 0.795121i | \(-0.292593\pi\) |
−0.991820 | + | 0.127642i | \(0.959259\pi\) | |||||||
\(374\) | −8.69524e6 | − | 5.02020e6i | −0.166214 | − | 0.0959635i | ||||
\(375\) | −1.57645e7 | + | 2.73049e7i | −0.298942 | + | 0.517782i | ||||
\(376\) | −1.80583e7 | + | 1.04260e7i | −0.339714 | + | 0.196134i | ||||
\(377\) | − | 1.62106e7i | − | 0.302534i | ||||||
\(378\) | −3.19504e6 | − | 3.42768e6i | −0.0591564 | − | 0.0634636i | ||||
\(379\) | 2.92098e7 | 0.536551 | 0.268276 | − | 0.963342i | \(-0.413546\pi\) | ||||
0.268276 | + | 0.963342i | \(0.413546\pi\) | |||||||
\(380\) | 5.69166e6 | + | 9.85824e6i | 0.103726 | + | 0.179659i | ||||
\(381\) | −2.22329e7 | − | 1.28362e7i | −0.401995 | − | 0.232092i | ||||
\(382\) | 2.22564e7 | − | 3.85493e7i | 0.399269 | − | 0.691554i | ||||
\(383\) | 3.97181e7 | − | 2.29312e7i | 0.706955 | − | 0.408161i | −0.102978 | − | 0.994684i | \(-0.532837\pi\) |
0.809933 | + | 0.586523i | \(0.199504\pi\) | |||||||
\(384\) | − | 3.25276e7i | − | 0.574458i | ||||||
\(385\) | 1.22870e7 | − | 2.83400e6i | 0.215309 | − | 0.0496613i | ||||
\(386\) | 4.82993e7 | 0.839805 | ||||||||
\(387\) | −1.83704e7 | − | 3.18185e7i | −0.316947 | − | 0.548968i | ||||
\(388\) | 2.53993e7 | + | 1.46643e7i | 0.434837 | + | 0.251053i | ||||
\(389\) | −7.72431e6 | + | 1.33789e7i | −0.131223 | + | 0.227285i | −0.924148 | − | 0.382034i | \(-0.875224\pi\) |
0.792925 | + | 0.609319i | \(0.208557\pi\) | |||||||
\(390\) | −2.81659e6 | + | 1.62616e6i | −0.0474821 | + | 0.0274138i | ||||
\(391\) | 9.91960e7i | 1.65945i | ||||||||
\(392\) | −4.38625e7 | + | 2.13708e7i | −0.728174 | + | 0.354783i | ||||
\(393\) | −3.21249e7 | −0.529254 | ||||||||
\(394\) | −1.69951e7 | − | 2.94363e7i | −0.277865 | − | 0.481277i | ||||
\(395\) | −2.38693e6 | − | 1.37810e6i | −0.0387302 | − | 0.0223609i | ||||
\(396\) | 2.74225e6 | − | 4.74972e6i | 0.0441593 | − | 0.0764861i | ||||
\(397\) | 2.54737e7 | − | 1.47073e7i | 0.407118 | − | 0.235050i | −0.282433 | − | 0.959287i | \(-0.591141\pi\) |
0.689551 | + | 0.724237i | \(0.257808\pi\) | |||||||
\(398\) | 2.04740e7i | 0.324753i | ||||||||
\(399\) | −3.22975e6 | − | 1.40027e7i | −0.0508452 | − | 0.220442i | ||||
\(400\) | 1.54268e7 | 0.241043 | ||||||||
\(401\) | 5.70055e7 | + | 9.87364e7i | 0.884064 | + | 1.53124i | 0.846783 | + | 0.531939i | \(0.178536\pi\) |
0.0372810 | + | 0.999305i | \(0.488130\pi\) | |||||||
\(402\) | 1.87095e7 | + | 1.08019e7i | 0.287995 | + | 0.166274i | ||||
\(403\) | −1.65581e7 | + | 2.86796e7i | −0.252986 | + | 0.438185i | ||||
\(404\) | 3.23648e7 | − | 1.86858e7i | 0.490827 | − | 0.283379i | ||||
\(405\) | 4.90455e6i | 0.0738302i | ||||||||
\(406\) | 2.10607e7 | − | 1.96313e7i | 0.314698 | − | 0.293339i | ||||
\(407\) | 4.49681e6 | 0.0666992 | ||||||||
\(408\) | −2.03318e7 | − | 3.52158e7i | −0.299362 | − | 0.518510i | ||||
\(409\) | 2.99288e7 | + | 1.72794e7i | 0.437442 | + | 0.252557i | 0.702512 | − | 0.711672i | \(-0.252062\pi\) |
−0.265070 | + | 0.964229i | \(0.585395\pi\) | |||||||
\(410\) | −5.71626e6 | + | 9.90086e6i | −0.0829393 | + | 0.143655i | ||||
\(411\) | −4.35942e7 | + | 2.51691e7i | −0.627919 | + | 0.362529i | ||||
\(412\) | − | 5.34769e7i | − | 0.764671i | ||||||
\(413\) | −3.88584e7 | + | 1.27007e8i | −0.551614 | + | 1.80292i | ||||
\(414\) | 1.38210e7 | 0.194778 | ||||||||
\(415\) | −4.09059e7 | − | 7.08511e7i | −0.572324 | − | 0.991294i | ||||
\(416\) | 1.98556e7 | + | 1.14636e7i | 0.275805 | + | 0.159236i | ||||
\(417\) | 3.17006e7 | − | 5.49071e7i | 0.437180 | − | 0.757217i | ||||
\(418\) | −3.71541e6 | + | 2.14509e6i | −0.0508719 | + | 0.0293709i | ||||
\(419\) | − | 3.73902e7i | − | 0.508294i | −0.967166 | − | 0.254147i | \(-0.918205\pi\) | ||
0.967166 | − | 0.254147i | \(-0.0817948\pi\) | |||||||
\(420\) | 2.16553e7 | + | 6.62557e6i | 0.292292 | + | 0.0894284i | ||||
\(421\) | −5.93910e7 | −0.795929 | −0.397965 | − | 0.917401i | \(-0.630283\pi\) | ||||
−0.397965 | + | 0.917401i | \(0.630283\pi\) | |||||||
\(422\) | 1.89694e6 | + | 3.28560e6i | 0.0252416 | + | 0.0437198i | ||||
\(423\) | −1.05810e7 | − | 6.10893e6i | −0.139799 | − | 0.0807131i | ||||
\(424\) | 4.13803e7 | − | 7.16728e7i | 0.542870 | − | 0.940279i | ||||
\(425\) | 4.75338e7 | − | 2.74436e7i | 0.619206 | − | 0.357499i | ||||
\(426\) | 8.77734e6i | 0.113536i | ||||||||
\(427\) | −2.75549e6 | − | 2.95612e6i | −0.0353929 | − | 0.0379699i | ||||
\(428\) | −5.99080e7 | −0.764105 | ||||||||
\(429\) | 2.40276e6 | + | 4.16170e6i | 0.0304325 | + | 0.0527107i | ||||
\(430\) | −3.92235e7 | − | 2.26457e7i | −0.493334 | − | 0.284826i | ||||
\(431\) | 2.97697e7 | − | 5.15627e7i | 0.371829 | − | 0.644026i | −0.618018 | − | 0.786164i | \(-0.712064\pi\) |
0.989847 | + | 0.142137i | \(0.0453975\pi\) | |||||||
\(432\) | 5.79948e6 | − | 3.34833e6i | 0.0719346 | − | 0.0415314i | ||||
\(433\) | − | 6.40730e7i | − | 0.789244i | −0.918843 | − | 0.394622i | \(-0.870876\pi\) | ||
0.918843 | − | 0.394622i | \(-0.129124\pi\) | |||||||
\(434\) | −5.73125e7 | + | 1.32192e7i | −0.701100 | + | 0.161710i | ||||
\(435\) | −3.01349e7 | −0.366102 | ||||||||
\(436\) | 1.87168e7 | + | 3.24184e7i | 0.225825 | + | 0.391140i | ||||
\(437\) | 3.67071e7 | + | 2.11928e7i | 0.439851 | + | 0.253948i | ||||
\(438\) | −1.05564e7 | + | 1.82842e7i | −0.125630 | + | 0.217597i | ||||
\(439\) | −1.31778e8 | + | 7.60819e7i | −1.55757 | + | 0.899265i | −0.560084 | + | 0.828436i | \(0.689231\pi\) |
−0.997488 | + | 0.0708286i | \(0.977436\pi\) | |||||||
\(440\) | − | 1.52463e7i | − | 0.178980i | ||||||
\(441\) | −2.36945e7 | − | 1.59964e7i | −0.276269 | − | 0.186511i | ||||
\(442\) | 1.57997e7 | 0.182971 | ||||||||
\(443\) | −1.72920e7 | − | 2.99506e7i | −0.198899 | − | 0.344504i | 0.749273 | − | 0.662262i | \(-0.230403\pi\) |
−0.948172 | + | 0.317758i | \(0.897070\pi\) | |||||||
\(444\) | 6.99408e6 | + | 4.03803e6i | 0.0799064 | + | 0.0461340i | ||||
\(445\) | −1.09062e7 | + | 1.88901e7i | −0.123763 | + | 0.214365i | ||||
\(446\) | 3.11275e7 | − | 1.79715e7i | 0.350864 | − | 0.202572i | ||||
\(447\) | 4.35656e7i | 0.487777i | ||||||||
\(448\) | 429829. | + | 1.86355e6i | 0.00478037 | + | 0.0207255i | ||||
\(449\) | −1.33795e8 | −1.47809 | −0.739047 | − | 0.673654i | \(-0.764724\pi\) | ||||
−0.739047 | + | 0.673654i | \(0.764724\pi\) | |||||||
\(450\) | −3.82374e6 | − | 6.62291e6i | −0.0419615 | − | 0.0726794i | ||||
\(451\) | 1.46292e7 | + | 8.44616e6i | 0.159474 | + | 0.0920724i | ||||
\(452\) | 5.22488e7 | − | 9.04976e7i | 0.565798 | − | 0.979990i | ||||
\(453\) | −8.14183e6 | + | 4.70069e6i | −0.0875846 | + | 0.0505670i | ||||
\(454\) | 6.66153e7i | 0.711880i | ||||||||
\(455\) | −1.45147e7 | + | 1.35296e7i | −0.154090 | + | 0.143632i | ||||
\(456\) | −1.73753e7 | −0.183247 | ||||||||
\(457\) | −7.62638e6 | − | 1.32093e7i | −0.0799043 | − | 0.138398i | 0.823304 | − | 0.567600i | \(-0.192128\pi\) |
−0.903208 | + | 0.429202i | \(0.858795\pi\) | |||||||
\(458\) | 4.25262e7 | + | 2.45525e7i | 0.442649 | + | 0.255564i | ||||
\(459\) | 1.19131e7 | − | 2.06341e7i | 0.123193 | − | 0.213377i | ||||
\(460\) | −5.78465e7 | + | 3.33977e7i | −0.594298 | + | 0.343118i | ||||
\(461\) | − | 3.05013e7i | − | 0.311326i | −0.987810 | − | 0.155663i | \(-0.950249\pi\) | ||
0.987810 | − | 0.155663i | \(-0.0497514\pi\) | |||||||
\(462\) | −2.49707e6 | + | 8.16153e6i | −0.0253224 | + | 0.0827648i | ||||
\(463\) | −1.61661e8 | −1.62878 | −0.814388 | − | 0.580320i | \(-0.802927\pi\) | ||||
−0.814388 | + | 0.580320i | \(0.802927\pi\) | |||||||
\(464\) | 2.05731e7 | + | 3.56336e7i | 0.205942 | + | 0.356703i | ||||
\(465\) | 5.33144e7 | + | 3.07811e7i | 0.530256 | + | 0.306143i | ||||
\(466\) | 18404.0 | − | 31876.7i | 0.000181868 | − | 0.000315004i | ||||
\(467\) | 5.70833e7 | − | 3.29570e7i | 0.560478 | − | 0.323592i | −0.192860 | − | 0.981226i | \(-0.561776\pi\) |
0.753337 | + | 0.657635i | \(0.228443\pi\) | |||||||
\(468\) | 8.63049e6i | 0.0841972i | ||||||||
\(469\) | 1.26039e8 | + | 3.85624e7i | 1.22176 | + | 0.373806i | ||||
\(470\) | −1.50612e7 | −0.145067 | ||||||||
\(471\) | −1.11387e7 | − | 1.92927e7i | −0.106603 | − | 0.184642i | ||||
\(472\) | 1.39076e8 | + | 8.02955e7i | 1.32259 | + | 0.763599i | ||||
\(473\) | −3.34605e7 | + | 5.79553e7i | −0.316191 | + | 0.547659i | ||||
\(474\) | 1.61564e6 | − | 932788.i | 0.0151708 | − | 0.00875886i | ||||
\(475\) | − | 2.34529e7i | − | 0.218834i | ||||||
\(476\) | −7.50134e7 | − | 8.04753e7i | −0.695534 | − | 0.746176i | ||||
\(477\) | 4.84922e7 | 0.446804 | ||||||||
\(478\) | 4.50032e6 | + | 7.79479e6i | 0.0412060 | + | 0.0713708i | ||||
\(479\) | −7.96535e7 | − | 4.59880e7i | −0.724767 | − | 0.418444i | 0.0917379 | − | 0.995783i | \(-0.470758\pi\) |
−0.816505 | + | 0.577339i | \(0.804091\pi\) | |||||||
\(480\) | 2.13105e7 | − | 3.69109e7i | 0.192695 | − | 0.333757i | ||||
\(481\) | −6.12820e6 | + | 3.53812e6i | −0.0550678 | + | 0.0317934i | ||||
\(482\) | − | 1.97291e7i | − | 0.176183i | ||||||
\(483\) | 8.21657e7 | − | 1.89516e7i | 0.729204 | − | 0.168192i | ||||
\(484\) | 8.03478e7 | 0.708660 | ||||||||
\(485\) | 2.38855e7 | + | 4.13710e7i | 0.209368 | + | 0.362636i | ||||
\(486\) | −2.87496e6 | − | 1.65986e6i | −0.0250451 | − | 0.0144598i | ||||
\(487\) | 9.53763e7 | − | 1.65197e8i | 0.825759 | − | 1.43026i | −0.0755785 | − | 0.997140i | \(-0.524080\pi\) |
0.901338 | − | 0.433117i | \(-0.142586\pi\) | |||||||
\(488\) | −4.23162e6 | + | 2.44313e6i | −0.0364122 | + | 0.0210226i | ||||
\(489\) | 8.68725e7i | 0.742944i | ||||||||
\(490\) | −3.51551e7 | − | 2.47284e6i | −0.298814 | − | 0.0210188i | ||||
\(491\) | 8.85504e7 | 0.748077 | 0.374038 | − | 0.927413i | \(-0.377973\pi\) | ||||
0.374038 | + | 0.927413i | \(0.377973\pi\) | |||||||
\(492\) | 1.51689e7 | + | 2.62734e7i | 0.127368 | + | 0.220607i | ||||
\(493\) | 1.26782e8 | + | 7.31975e7i | 1.05807 | + | 0.610880i | ||||
\(494\) | 3.37554e6 | − | 5.84661e6i | 0.0280003 | − | 0.0484980i | ||||
\(495\) | 7.73647e6 | − | 4.46665e6i | 0.0637862 | − | 0.0368270i | ||||
\(496\) | − | 8.40569e7i | − | 0.688856i | ||||||
\(497\) | 1.20356e7 | + | 5.21810e7i | 0.0980391 | + | 0.425053i | ||||
\(498\) | 5.53757e7 | 0.448364 | ||||||||
\(499\) | 2.61754e7 | + | 4.53371e7i | 0.210665 | + | 0.364882i | 0.951923 | − | 0.306338i | \(-0.0991038\pi\) |
−0.741258 | + | 0.671220i | \(0.765770\pi\) | |||||||
\(500\) | 8.93202e7 | + | 5.15690e7i | 0.714561 | + | 0.412552i | ||||
\(501\) | −1.74893e7 | + | 3.02923e7i | −0.139078 | + | 0.240890i | ||||
\(502\) | −6.82210e6 | + | 3.93874e6i | −0.0539271 | + | 0.0311348i | ||||
\(503\) | − | 1.34114e8i | − | 1.05383i | −0.849919 | − | 0.526914i | \(-0.823349\pi\) | ||
0.849919 | − | 0.526914i | \(-0.176651\pi\) | |||||||
\(504\) | −2.52854e7 | + | 2.35693e7i | −0.197505 | + | 0.184100i | ||||
\(505\) | 6.08718e7 | 0.472653 | ||||||||
\(506\) | −1.25871e7 | − | 2.18014e7i | −0.0971566 | − | 0.168280i | ||||
\(507\) | 5.86130e7 | + | 3.38402e7i | 0.449749 | + | 0.259663i | ||||
\(508\) | −4.19898e7 | + | 7.27285e7i | −0.320297 | + | 0.554771i | ||||
\(509\) | −1.62222e8 | + | 9.36588e7i | −1.23014 | + | 0.710224i | −0.967060 | − | 0.254549i | \(-0.918073\pi\) |
−0.263084 | + | 0.964773i | \(0.584740\pi\) | |||||||
\(510\) | − | 2.93711e7i | − | 0.221417i | ||||||
\(511\) | −3.76858e7 | + | 1.23174e8i | −0.282432 | + | 0.923115i | ||||
\(512\) | −1.05118e8 | −0.783188 | ||||||||
\(513\) | −5.09038e6 | − | 8.81679e6i | −0.0377049 | − | 0.0653068i | ||||
\(514\) | −9.83269e7 | − | 5.67690e7i | −0.724074 | − | 0.418044i | ||||
\(515\) | 4.35522e7 | − | 7.54347e7i | 0.318852 | − | 0.552267i | ||||
\(516\) | −1.04085e8 | + | 6.00936e7i | −0.757600 | + | 0.437401i | ||||
\(517\) | 2.22540e7i | 0.161041i | ||||||||
\(518\) | −1.20180e7 | − | 3.67699e6i | −0.0864658 | − | 0.0264547i | ||||
\(519\) | −1.07255e8 | −0.767216 | ||||||||
\(520\) | 1.19959e7 | + | 2.07774e7i | 0.0853142 | + | 0.147769i | ||||
\(521\) | −3.89027e7 | − | 2.24605e7i | −0.275085 | − | 0.158820i | 0.356111 | − | 0.934444i | \(-0.384102\pi\) |
−0.631196 | + | 0.775623i | \(0.717436\pi\) | |||||||
\(522\) | 1.01987e7 | − | 1.76646e7i | 0.0717021 | − | 0.124192i | ||||
\(523\) | 1.43752e8 | − | 8.29951e7i | 1.00487 | − | 0.580160i | 0.0951815 | − | 0.995460i | \(-0.469657\pi\) |
0.909684 | + | 0.415300i | \(0.136324\pi\) | |||||||
\(524\) | 1.05087e8i | 0.730394i | ||||||||
\(525\) | −3.18134e7 | − | 3.41298e7i | −0.219853 | − | 0.235861i | ||||
\(526\) | −2.37222e7 | −0.163004 | ||||||||
\(527\) | −1.49534e8 | − | 2.59000e8i | −1.02166 | − | 1.76957i | ||||
\(528\) | −1.05634e7 | − | 6.09876e6i | −0.0717629 | − | 0.0414324i | ||||
\(529\) | −5.03382e7 | + | 8.71883e7i | −0.340041 | + | 0.588967i | ||||
\(530\) | 5.17689e7 | − | 2.98888e7i | 0.347729 | − | 0.200761i | ||||
\(531\) | 9.40956e7i | 0.628472i | ||||||||
\(532\) | −4.58059e7 | + | 1.05652e7i | −0.304219 | + | 0.0701685i | ||||
\(533\) | −2.65820e7 | −0.175552 | ||||||||
\(534\) | −7.38202e6 | − | 1.27860e7i | −0.0484788 | − | 0.0839677i | ||||
\(535\) | −8.45064e7 | − | 4.87898e7i | −0.551859 | − | 0.318616i | ||||
\(536\) | 7.96839e7 | − | 1.38017e8i | 0.517459 | − | 0.896266i | ||||
\(537\) | 1.06554e8 | − | 6.15188e7i | 0.688091 | − | 0.397269i | ||||
\(538\) | 792991.i | 0.00509238i | ||||||||
\(539\) | −3.65378e6 | + | 5.19441e7i | −0.0233333 | + | 0.331718i | ||||
\(540\) | 1.60438e7 | 0.101889 | ||||||||
\(541\) | −6.31514e7 | − | 1.09381e8i | −0.398833 | − | 0.690799i | 0.594749 | − | 0.803911i | \(-0.297251\pi\) |
−0.993582 | + | 0.113112i | \(0.963918\pi\) | |||||||
\(542\) | −8.69464e7 | − | 5.01985e7i | −0.546077 | − | 0.315278i | ||||
\(543\) | −2.05486e7 | + | 3.55912e7i | −0.128346 | + | 0.222302i | ||||
\(544\) | −1.79312e8 | + | 1.03526e8i | −1.11382 | + | 0.643062i | ||||
\(545\) | 6.09727e7i | 0.376657i | ||||||||
\(546\) | −3.01857e6 | − | 1.30871e7i | −0.0185448 | − | 0.0804021i | ||||
\(547\) | 2.31931e8 | 1.41709 | 0.708545 | − | 0.705666i | \(-0.249352\pi\) | ||||
0.708545 | + | 0.705666i | \(0.249352\pi\) | |||||||
\(548\) | 8.23336e7 | + | 1.42606e8i | 0.500306 | + | 0.866555i | ||||
\(549\) | −2.47945e6 | − | 1.43151e6i | −0.0149843 | − | 0.00865121i | ||||
\(550\) | −6.96468e6 | + | 1.20632e7i | −0.0418614 | + | 0.0725060i | ||||
\(551\) | 5.41729e7 | − | 3.12767e7i | 0.323838 | − | 0.186968i | ||||
\(552\) | − | 1.01955e8i | − | 0.606167i | ||||||
\(553\) | 8.32585e6 | − | 7.76078e6i | 0.0492327 | − | 0.0458912i | ||||
\(554\) | 2.07536e7 | 0.122057 | ||||||||
\(555\) | 6.57725e6 | + | 1.13921e7i | 0.0384738 | + | 0.0666386i | ||||
\(556\) | −1.79613e8 | − | 1.03700e8i | −1.04499 | − | 0.603326i | ||||
\(557\) | −1.20538e8 | + | 2.08779e8i | −0.697525 | + | 1.20815i | 0.271797 | + | 0.962355i | \(0.412382\pi\) |
−0.969322 | + | 0.245794i | \(0.920951\pi\) | |||||||
\(558\) | −3.60867e7 | + | 2.08347e7i | −0.207704 | + | 0.119918i | ||||
\(559\) | − | 1.05308e8i | − | 0.602872i | ||||||
\(560\) | 1.47352e7 | − | 4.81613e7i | 0.0839060 | − | 0.274242i | ||||
\(561\) | −4.33978e7 | −0.245799 | ||||||||
\(562\) | 3.17071e7 | + | 5.49182e7i | 0.178627 | + | 0.309391i | ||||
\(563\) | −1.01477e8 | − | 5.85878e7i | −0.568647 | − | 0.328308i | 0.187962 | − | 0.982176i | \(-0.439812\pi\) |
−0.756609 | + | 0.653868i | \(0.773145\pi\) | |||||||
\(564\) | −1.99836e7 | + | 3.46126e7i | −0.111387 | + | 0.192929i | ||||
\(565\) | 1.47405e8 | − | 8.51042e7i | 0.817271 | − | 0.471852i | ||||
\(566\) | 5.30821e7i | 0.292751i | ||||||||
\(567\) | −1.93676e7 | − | 5.92563e6i | −0.106249 | − | 0.0325076i | ||||
\(568\) | 6.47488e7 | 0.353335 | ||||||||
\(569\) | 6.04302e7 | + | 1.04668e8i | 0.328033 | + | 0.568170i | 0.982121 | − | 0.188248i | \(-0.0602809\pi\) |
−0.654088 | + | 0.756418i | \(0.726948\pi\) | |||||||
\(570\) | −1.08687e7 | − | 6.27503e6i | −0.0586884 | − | 0.0338837i | ||||
\(571\) | −5.39062e7 | + | 9.33683e7i | −0.289555 | + | 0.501523i | −0.973703 | − | 0.227819i | \(-0.926841\pi\) |
0.684149 | + | 0.729342i | \(0.260174\pi\) | |||||||
\(572\) | 1.36138e7 | − | 7.85993e6i | 0.0727430 | − | 0.0419982i | ||||
\(573\) | − | 1.92399e8i | − | 1.02268i | ||||||
\(574\) | −3.21912e7 | − | 3.45351e7i | −0.170217 | − | 0.182610i | ||||
\(575\) | 1.37618e8 | 0.723887 | ||||||||
\(576\) | 677451. | + | 1.17338e6i | 0.00354495 | + | 0.00614004i | ||||
\(577\) | −6.79444e7 | − | 3.92277e7i | −0.353693 | − | 0.204205i | 0.312618 | − | 0.949879i | \(-0.398794\pi\) |
−0.666310 | + | 0.745674i | \(0.732127\pi\) | |||||||
\(578\) | −2.78162e7 | + | 4.81791e7i | −0.144050 | + | 0.249503i | ||||
\(579\) | 1.80796e8 | − | 1.04382e8i | 0.931435 | − | 0.537764i | ||||
\(580\) | 9.85778e7i | 0.505237i | ||||||||
\(581\) | 3.29207e8 | − | 7.59319e7i | 1.67857 | − | 0.387165i | ||||
\(582\) | −3.23346e7 | −0.164021 | ||||||||
\(583\) | −4.41627e7 | − | 7.64920e7i | −0.222869 | − | 0.386020i | ||||
\(584\) | 1.34879e8 | + | 7.78724e7i | 0.677182 | + | 0.390971i | ||||
\(585\) | −7.02878e6 | + | 1.21742e7i | −0.0351085 | + | 0.0608097i | ||||
\(586\) | 1.09236e7 | − | 6.30674e6i | 0.0542841 | − | 0.0313410i | ||||
\(587\) | 1.98030e8i | 0.979075i | 0.871982 | + | 0.489538i | \(0.162834\pi\) | ||||
−0.871982 | + | 0.489538i | \(0.837166\pi\) | |||||||
\(588\) | −5.23275e7 | + | 7.75098e7i | −0.257394 | + | 0.381263i | ||||
\(589\) | −1.27789e8 | −0.625387 | ||||||||
\(590\) | 5.79970e7 | + | 1.00454e8i | 0.282390 | + | 0.489114i | ||||
\(591\) | −1.27233e8 | − | 7.34581e7i | −0.616365 | − | 0.355859i | ||||
\(592\) | 8.98056e6 | − | 1.55548e7i | 0.0432851 | − | 0.0749720i | ||||
\(593\) | −3.26564e6 | + | 1.88542e6i | −0.0156605 | + | 0.00904157i | −0.507810 | − | 0.861469i | \(-0.669545\pi\) |
0.492149 | + | 0.870511i | \(0.336211\pi\) | |||||||
\(594\) | 6.04665e6i | 0.0288506i | ||||||||
\(595\) | −4.02742e7 | − | 1.74611e8i | −0.191195 | − | 0.828933i | ||||
\(596\) | 1.42512e8 | 0.673153 | ||||||||
\(597\) | 4.42475e7 | + | 7.66389e7i | 0.207953 | + | 0.360186i | ||||
\(598\) | 3.43070e7 | + | 1.98071e7i | 0.160428 | + | 0.0926229i | ||||
\(599\) | −1.33653e8 | + | 2.31493e8i | −0.621867 | + | 1.07710i | 0.367271 | + | 0.930114i | \(0.380292\pi\) |
−0.989138 | + | 0.146991i | \(0.953041\pi\) | |||||||
\(600\) | −4.88560e7 | + | 2.82070e7i | −0.226185 | + | 0.130588i | ||||
\(601\) | 9.26866e7i | 0.426966i | 0.976947 | + | 0.213483i | \(0.0684809\pi\) | ||||
−0.976947 | + | 0.213483i | \(0.931519\pi\) | |||||||
\(602\) | 1.36815e8 | − | 1.27530e8i | 0.627112 | − | 0.584550i | ||||
\(603\) | 9.33790e7 | 0.425890 | ||||||||
\(604\) | 1.53770e7 | + | 2.66337e7i | 0.0697846 | + | 0.120870i | ||||
\(605\) | 1.13339e8 | + | 6.54363e7i | 0.511815 | + | 0.295497i | ||||
\(606\) | −2.06010e7 | + | 3.56820e7i | −0.0925702 | + | 0.160336i | ||||
\(607\) | 1.38921e8 | − | 8.02061e7i | 0.621158 | − | 0.358625i | −0.156162 | − | 0.987731i | \(-0.549912\pi\) |
0.777320 | + | 0.629106i | \(0.216579\pi\) | |||||||
\(608\) | 8.84718e7i | 0.393635i | ||||||||
\(609\) | 3.64088e7 | − | 1.19000e8i | 0.161196 | − | 0.526860i | ||||
\(610\) | −3.52931e6 | −0.0155489 | ||||||||
\(611\) | −1.75096e7 | − | 3.03275e7i | −0.0767631 | − | 0.132958i | ||||
\(612\) | −6.74985e7 | − | 3.89703e7i | −0.294469 | − | 0.170012i | ||||
\(613\) | −3.60980e7 | + | 6.25236e7i | −0.156712 | + | 0.271433i | −0.933681 | − | 0.358106i | \(-0.883423\pi\) |
0.776969 | + | 0.629539i | \(0.216756\pi\) | |||||||
\(614\) | −1.24837e8 | + | 7.20748e7i | −0.539311 | + | 0.311371i | ||||
\(615\) | 4.94151e7i | 0.212439i | ||||||||
\(616\) | 6.02061e7 | + | 1.84204e7i | 0.257572 | + | 0.0788056i | ||||
\(617\) | 3.16720e6 | 0.0134841 | 0.00674203 | − | 0.999977i | \(-0.497854\pi\) | ||||
0.00674203 | + | 0.999977i | \(0.497854\pi\) | |||||||
\(618\) | 2.94790e7 | + | 5.10592e7i | 0.124896 | + | 0.216326i | ||||
\(619\) | 1.20117e8 | + | 6.93494e7i | 0.506444 | + | 0.292396i | 0.731371 | − | 0.681980i | \(-0.238881\pi\) |
−0.224927 | + | 0.974376i | \(0.572214\pi\) | |||||||
\(620\) | 1.00691e8 | − | 1.74403e8i | 0.422491 | − | 0.731776i | ||||
\(621\) | 5.17355e7 | − | 2.98695e7i | 0.216030 | − | 0.124725i | ||||
\(622\) | − | 1.20275e8i | − | 0.499809i | ||||||
\(623\) | −6.14183e7 | − | 6.58903e7i | −0.254000 | − | 0.272494i | ||||
\(624\) | 1.91942e7 | 0.0789979 | ||||||||
\(625\) | 1.58233e7 | + | 2.74068e7i | 0.0648124 | + | 0.112258i | ||||
\(626\) | 5.86869e7 | + | 3.38829e7i | 0.239231 | + | 0.138120i | ||||
\(627\) | −9.27178e6 | + | 1.60592e7i | −0.0376150 | + | 0.0651510i | ||||
\(628\) | −6.31107e7 | + | 3.64370e7i | −0.254814 | + | 0.147117i | ||||
\(629\) | − | 6.39043e7i | − | 0.256790i | ||||||
\(630\) | −2.43286e7 | + | 5.61142e6i | −0.0972961 | + | 0.0224415i | ||||
\(631\) | −1.98716e8 | −0.790944 | −0.395472 | − | 0.918478i | \(-0.629419\pi\) | ||||
−0.395472 | + | 0.918478i | \(0.629419\pi\) | |||||||
\(632\) | −6.88100e6 | − | 1.19182e7i | −0.0272584 | − | 0.0472129i | ||||
\(633\) | 1.42014e7 | + | 8.19920e6i | 0.0559914 | + | 0.0323266i | ||||
\(634\) | −3.67812e7 | + | 6.37069e7i | −0.144331 | + | 0.249988i | ||||
\(635\) | −1.18462e8 | + | 6.83941e7i | −0.462656 | + | 0.267114i | ||||
\(636\) | − | 1.58628e8i | − | 0.616608i | ||||||
\(637\) | −3.58906e7 | − | 7.36636e7i | −0.138855 | − | 0.284993i | ||||
\(638\) | −3.71523e7 | −0.143062 | ||||||||
\(639\) | 1.89693e7 | + | 3.28557e7i | 0.0727022 | + | 0.125924i | ||||
\(640\) | −1.50095e8 | − | 8.66573e7i | −0.572567 | − | 0.330571i | ||||
\(641\) | −7.21736e7 | + | 1.25008e8i | −0.274034 | + | 0.474641i | −0.969891 | − | 0.243540i | \(-0.921691\pi\) |
0.695857 | + | 0.718180i | \(0.255025\pi\) | |||||||
\(642\) | 5.71995e7 | − | 3.30242e7i | 0.216166 | − | 0.124803i | ||||
\(643\) | 2.68271e8i | 1.00911i | 0.863378 | + | 0.504557i | \(0.168344\pi\) | ||||
−0.863378 | + | 0.504557i | \(0.831656\pi\) | |||||||
\(644\) | −6.19948e7 | − | 2.68781e8i | −0.232112 | − | 1.00633i | ||||
\(645\) | −1.95764e8 | −0.729548 | ||||||||
\(646\) | 3.04840e7 | + | 5.27999e7i | 0.113077 | + | 0.195855i | ||||
\(647\) | −3.38971e8 | − | 1.95705e8i | −1.25155 | − | 0.722585i | −0.280136 | − | 0.959960i | \(-0.590380\pi\) |
−0.971418 | + | 0.237375i | \(0.923713\pi\) | |||||||
\(648\) | −1.22445e7 | + | 2.12081e7i | −0.0450003 | + | 0.0779428i | ||||
\(649\) | 1.48427e8 | − | 8.56944e7i | 0.542974 | − | 0.313486i | ||||
\(650\) | − | 2.19194e7i | − | 0.0798158i | ||||||
\(651\) | −1.85966e8 | + | 1.73344e8i | −0.674046 | + | 0.628299i | ||||
\(652\) | 2.84179e8 | 1.02529 | ||||||||
\(653\) | −2.30591e8 | − | 3.99396e8i | −0.828139 | − | 1.43438i | −0.899496 | − | 0.436929i | \(-0.856066\pi\) |
0.0713566 | − | 0.997451i | \(-0.477267\pi\) | |||||||
\(654\) | −3.57412e7 | − | 2.06352e7i | −0.127772 | − | 0.0737692i | ||||
\(655\) | −8.55845e7 | + | 1.48237e8i | −0.304559 | + | 0.527512i | ||||
\(656\) | 5.84318e7 | − | 3.37356e7i | 0.206984 | − | 0.119503i | ||||
\(657\) | 9.12561e7i | 0.321785i | ||||||||
\(658\) | 1.81969e7 | − | 5.94754e7i | 0.0638732 | − | 0.208766i | ||||
\(659\) | 2.90612e8 | 1.01545 | 0.507724 | − | 0.861520i | \(-0.330487\pi\) | ||||
0.507724 | + | 0.861520i | \(0.330487\pi\) | |||||||
\(660\) | −1.46114e7 | − | 2.53076e7i | −0.0508228 | − | 0.0880277i | ||||
\(661\) | −2.43164e8 | − | 1.40391e8i | −0.841965 | − | 0.486109i | 0.0159666 | − | 0.999873i | \(-0.494917\pi\) |
−0.857932 | + | 0.513764i | \(0.828251\pi\) | |||||||
\(662\) | −3.85082e7 | + | 6.66981e7i | −0.132733 | + | 0.229900i | ||||
\(663\) | 5.91421e7 | − | 3.41457e7i | 0.202935 | − | 0.117164i | ||||
\(664\) | − | 4.08496e8i | − | 1.39535i | ||||||
\(665\) | −7.32183e7 | − | 2.24016e7i | −0.248975 | − | 0.0761752i | ||||
\(666\) | −8.90383e6 | −0.0301408 | ||||||||
\(667\) | 1.83527e8 | + | 3.17878e8i | 0.618475 | + | 1.07123i | ||||
\(668\) | 9.90926e7 | + | 5.72111e7i | 0.332439 | + | 0.191934i | ||||
\(669\) | 7.76784e7 | − | 1.34543e8i | 0.259431 | − | 0.449348i | ||||
\(670\) | 9.96886e7 | − | 5.75553e7i | 0.331452 | − | 0.191364i | ||||
\(671\) | 5.21480e6i | 0.0172611i | ||||||||
\(672\) | 1.20010e8 | + | 1.28749e8i | 0.395468 | + | 0.424262i | ||||
\(673\) | −2.35293e8 | −0.771904 | −0.385952 | − | 0.922519i | \(-0.626127\pi\) | ||||
−0.385952 | + | 0.922519i | \(0.626127\pi\) | |||||||
\(674\) | −3.58530e7 | − | 6.20992e7i | −0.117097 | − | 0.202818i | ||||
\(675\) | −2.86264e7 | − | 1.65274e7i | −0.0930796 | − | 0.0537396i | ||||
\(676\) | 1.10699e8 | − | 1.91736e8i | 0.358346 | − | 0.620673i | ||||
\(677\) | −5.35332e8 | + | 3.09074e8i | −1.72527 | + | 0.996085i | −0.818435 | + | 0.574599i | \(0.805158\pi\) |
−0.906835 | + | 0.421486i | \(0.861509\pi\) | |||||||
\(678\) | 1.15208e8i | 0.369653i | ||||||||
\(679\) | −1.92228e8 | + | 4.43377e7i | −0.614056 | + | 0.141633i | ||||
\(680\) | −2.16665e8 | −0.689069 | ||||||||
\(681\) | 1.43966e8 | + | 2.49357e8i | 0.455848 | + | 0.789552i | ||||
\(682\) | 6.57295e7 | + | 3.79490e7i | 0.207208 | + | 0.119632i | ||||
\(683\) | −6.53722e6 | + | 1.13228e7i | −0.0205178 | + | 0.0355379i | −0.876102 | − | 0.482126i | \(-0.839865\pi\) |
0.855584 | + | 0.517664i | \(0.173198\pi\) | |||||||
\(684\) | −2.88416e7 | + | 1.66517e7i | −0.0901262 | + | 0.0520344i | ||||
\(685\) | 2.68214e8i | 0.834468i | ||||||||
\(686\) | 5.22391e7 | − | 1.35837e8i | 0.161817 | − | 0.420770i | ||||
\(687\) | 2.12248e8 | 0.654595 | ||||||||
\(688\) | 1.33648e8 | + | 2.31485e8i | 0.410390 | + | 0.710817i | ||||
\(689\) | 1.20369e8 | + | 6.94949e7i | 0.368007 | + | 0.212469i | ||||
\(690\) | 3.68209e7 | − | 6.37756e7i | 0.112085 | − | 0.194137i | ||||
\(691\) | 2.37346e8 | − | 1.37032e8i | 0.719362 | − | 0.415324i | −0.0951555 | − | 0.995462i | \(-0.530335\pi\) |
0.814518 | + | 0.580138i | \(0.197002\pi\) | |||||||
\(692\) | 3.50855e8i | 1.05879i | ||||||||
\(693\) | 8.29126e6 | + | 3.59471e7i | 0.0249127 | + | 0.108010i | ||||
\(694\) | 1.19878e8 | 0.358643 | ||||||||
\(695\) | −1.68908e8 | − | 2.92558e8i | −0.503149 | − | 0.871480i | ||||
\(696\) | −1.30308e8 | − | 7.52336e7i | −0.386496 | − | 0.223143i | ||||
\(697\) | 1.20029e8 | − | 2.07896e8i | 0.354476 | − | 0.613971i | ||||
\(698\) | 8.05349e7 | − | 4.64968e7i | 0.236820 | − | 0.136728i | ||||
\(699\) | − | 159096.i | − | 0.000465831i | ||||||
\(700\) | −1.11646e8 | + | 1.04069e8i | −0.325498 | + | 0.303407i | ||||
\(701\) | 4.35624e8 | 1.26461 | 0.632307 | − | 0.774718i | \(-0.282108\pi\) | ||||
0.632307 | + | 0.774718i | \(0.282108\pi\) | |||||||
\(702\) | −4.75754e6 | − | 8.24031e6i | −0.0137522 | − | 0.0238195i | ||||
\(703\) | −2.36475e7 | − | 1.36529e7i | −0.0680644 | − | 0.0392970i | ||||
\(704\) | 1.23393e6 | − | 2.13723e6i | 0.00353649 | − | 0.00612539i | ||||
\(705\) | −5.63779e7 | + | 3.25498e7i | −0.160895 | + | 0.0928925i | ||||
\(706\) | − | 2.00740e8i | − | 0.570454i | ||||||
\(707\) | −7.35448e7 | + | 2.40377e8i | −0.208110 | + | 0.680197i | ||||
\(708\) | 3.07807e8 | 0.867318 | ||||||||
\(709\) | 1.80906e8 | + | 3.13339e8i | 0.507592 | + | 0.879176i | 0.999961 | + | 0.00878924i | \(0.00279774\pi\) |
−0.492369 | + | 0.870387i | \(0.663869\pi\) | |||||||
\(710\) | 4.05020e7 | + | 2.33839e7i | 0.113162 | + | 0.0653343i | ||||
\(711\) | 4.03181e6 | − | 6.98330e6i | 0.0112174 | − | 0.0194291i | ||||
\(712\) | −9.43202e7 | + | 5.44558e7i | −0.261315 | + | 0.150870i | ||||
\(713\) | − | 7.49848e8i | − | 2.06873i | ||||||
\(714\) | 1.15984e8 | + | 3.54860e7i | 0.318642 | + | 0.0974904i | ||||
\(715\) | 2.56049e7 | 0.0700495 | ||||||||
\(716\) | −2.01241e8 | − | 3.48560e8i | −0.548249 | − | 0.949595i | ||||
\(717\) | 3.36916e7 | + | 1.94518e7i | 0.0914037 | + | 0.0527720i | ||||
\(718\) | −2.91663e7 | + | 5.05174e7i | −0.0787966 | + | 0.136480i | ||||
\(719\) | −2.12503e8 | + | 1.22689e8i | −0.571713 | + | 0.330079i | −0.757833 | − | 0.652448i | \(-0.773742\pi\) |
0.186120 | + | 0.982527i | \(0.440409\pi\) | |||||||
\(720\) | − | 3.56814e7i | − | 0.0955969i | ||||||
\(721\) | 2.45265e8 | + | 2.63123e8i | 0.654380 | + | 0.702026i | ||||
\(722\) | −1.43620e8 | −0.381595 | ||||||||
\(723\) | −4.26377e7 | − | 7.38506e7i | −0.112818 | − | 0.195407i | ||||
\(724\) | 1.16426e8 | + | 6.72188e7i | 0.306786 | + | 0.177123i | ||||
\(725\) | 1.01549e8 | − | 1.75888e8i | 0.266479 | − | 0.461555i | ||||
\(726\) | −7.67153e7 | + | 4.42916e7i | −0.200480 | + | 0.115747i | ||||
\(727\) | 2.59949e8i | 0.676526i | 0.941052 | + | 0.338263i | \(0.109839\pi\) | ||||
−0.941052 | + | 0.338263i | \(0.890161\pi\) | |||||||
\(728\) | −9.65415e7 | + | 2.22674e7i | −0.250219 | + | 0.0577133i | ||||
\(729\) | −1.43489e7 | −0.0370370 | ||||||||
\(730\) | 5.62468e7 | + | 9.74223e7i | 0.144587 | + | 0.250432i | ||||
\(731\) | 8.23606e8 | + | 4.75509e8i | 2.10847 | + | 1.21733i | ||||
\(732\) | −4.68277e6 | + | 8.11080e6i | −0.0119390 | + | 0.0206790i | ||||
\(733\) | −1.08280e8 | + | 6.25152e7i | −0.274938 | + | 0.158735i | −0.631129 | − | 0.775678i | \(-0.717408\pi\) |
0.356192 | + | 0.934413i | \(0.384075\pi\) | |||||||
\(734\) | 4.04915e7i | 0.102394i | ||||||||
\(735\) | −1.36938e8 | + | 6.67195e7i | −0.344876 | + | 0.168031i | ||||
\(736\) | −5.19138e8 | −1.30212 | ||||||||
\(737\) | −8.50418e7 | − | 1.47297e8i | −0.212437 | − | 0.367951i | ||||
\(738\) | −2.89663e7 | − | 1.67237e7i | −0.0720649 | − | 0.0416067i | ||||
\(739\) | 2.82361e8 | − | 4.89063e8i | 0.699634 | − | 1.21180i | −0.268960 | − | 0.963151i | \(-0.586680\pi\) |
0.968593 | − | 0.248650i | \(-0.0799869\pi\) | |||||||
\(740\) | 3.72661e7 | − | 2.15156e7i | 0.0919641 | − | 0.0530955i | ||||
\(741\) | − | 2.91804e7i | − | 0.0717194i | ||||||
\(742\) | 5.54813e7 | + | 2.40542e8i | 0.135811 | + | 0.588815i | ||||
\(743\) | 2.68677e8 | 0.655035 | 0.327518 | − | 0.944845i | \(-0.393788\pi\) | ||||
0.327518 | + | 0.944845i | \(0.393788\pi\) | |||||||
\(744\) | 1.53694e8 | + | 2.66205e8i | 0.373196 | + | 0.646394i | ||||
\(745\) | 2.01029e8 | + | 1.16064e8i | 0.486171 | + | 0.280691i | ||||
\(746\) | 7.21256e7 | − | 1.24925e8i | 0.173729 | − | 0.300908i | ||||
\(747\) | 2.07284e8 | − | 1.19676e8i | 0.497285 | − | 0.287107i | ||||
\(748\) | 1.41964e8i | 0.339213i | ||||||||
\(749\) | 2.94766e8 | − | 2.74760e8i | 0.701507 | − | 0.653896i | ||||
\(750\) | −1.13709e8 | −0.269533 | ||||||||
\(751\) | −1.95480e8 | − | 3.38581e8i | −0.461512 | − | 0.799362i | 0.537525 | − | 0.843248i | \(-0.319359\pi\) |
−0.999037 | + | 0.0438862i | \(0.986026\pi\) | |||||||
\(752\) | 7.69783e7 | + | 4.44434e7i | 0.181015 | + | 0.104509i | ||||
\(753\) | −1.70245e7 | + | 2.94873e7i | −0.0398740 | + | 0.0690637i | ||||
\(754\) | 5.06308e7 | − | 2.92317e7i | 0.118114 | − | 0.0681930i | ||||
\(755\) | 5.00927e7i | 0.116395i | ||||||||
\(756\) | −1.93840e7 | + | 6.33555e7i | −0.0448619 | + | 0.146629i | ||||
\(757\) | −5.67872e8 | −1.30907 | −0.654535 | − | 0.756031i | \(-0.727136\pi\) | ||||
−0.654535 | + | 0.756031i | \(0.727136\pi\) | |||||||
\(758\) | 5.26726e7 | + | 9.12317e7i | 0.120942 | + | 0.209478i | ||||
\(759\) | −9.42327e7 | − | 5.44053e7i | −0.215515 | − | 0.124427i | ||||
\(760\) | −4.62897e7 | + | 8.01762e7i | −0.105449 | + | 0.182644i | ||||
\(761\) | −1.66316e8 | + | 9.60225e7i | −0.377381 | + | 0.217881i | −0.676678 | − | 0.736279i | \(-0.736581\pi\) |
0.299297 | + | 0.954160i | \(0.403248\pi\) | |||||||
\(762\) | − | 9.25873e7i | − | 0.209260i | ||||||
\(763\) | −2.40776e8 | − | 7.36667e7i | −0.542049 | − | 0.165843i | ||||
\(764\) | −6.29378e8 | −1.41134 | ||||||||
\(765\) | −6.34758e7 | − | 1.09943e8i | −0.141783 | − | 0.245575i | ||||
\(766\) | 1.43243e8 | + | 8.27015e7i | 0.318704 | + | 0.184004i | ||||
\(767\) | −1.34850e8 | + | 2.33567e8i | −0.298858 | + | 0.517637i | ||||
\(768\) | 1.06412e8 | − | 6.14368e7i | 0.234912 | − | 0.135627i | ||||
\(769\) | − | 7.75766e8i | − | 1.70589i | −0.521999 | − | 0.852946i | \(-0.674813\pi\) | ||
0.521999 | − | 0.852946i | \(-0.325187\pi\) | |||||||
\(770\) | 3.10080e7 | + | 3.32657e7i | 0.0679205 | + | 0.0728659i | ||||
\(771\) | −4.90748e8 | −1.07077 | ||||||||
\(772\) | −3.41457e8 | − | 5.91421e8i | −0.742138 | − | 1.28542i | ||||
\(773\) | 2.34180e7 | + | 1.35204e7i | 0.0507005 | + | 0.0292719i | 0.525136 | − | 0.851018i | \(-0.324014\pi\) |
−0.474436 | + | 0.880290i | \(0.657348\pi\) | |||||||
\(774\) | 6.62530e7 | − | 1.14754e8i | 0.142884 | − | 0.247482i | ||||
\(775\) | −3.59320e8 | + | 2.07453e8i | −0.771926 | + | 0.445672i | ||||
\(776\) | 2.38527e8i | 0.510448i | ||||||||
\(777\) | −5.29330e7 | + | 1.22091e7i | −0.112840 | + | 0.0260267i | ||||
\(778\) | −5.57154e7 | −0.118314 | ||||||||
\(779\) | −5.12874e7 | − | 8.88323e7i | −0.108492 | − | 0.187914i | ||||
\(780\) | 3.98244e7 | + | 2.29926e7i | 0.0839200 | + | 0.0484512i | ||||
\(781\) | 3.45512e7 | − | 5.98445e7i | 0.0725288 | − | 0.125624i | ||||
\(782\) | −3.09821e8 | + | 1.78875e8i | −0.647874 | + | 0.374050i | ||||
\(783\) | − | 8.81638e7i | − | 0.183656i | ||||||
\(784\) | 1.72381e8 | + | 1.16376e8i | 0.357719 | + | 0.241499i | ||||
\(785\) | −1.18699e8 | −0.245379 | ||||||||
\(786\) | −5.79293e7 | − | 1.00336e8i | −0.119297 | − | 0.206629i | ||||
\(787\) | −3.68573e8 | − | 2.12796e8i | −0.756136 | − | 0.436555i | 0.0717707 | − | 0.997421i | \(-0.477135\pi\) |
−0.827907 | + | 0.560866i | \(0.810468\pi\) | |||||||
\(788\) | −2.40297e8 | + | 4.16207e8i | −0.491100 | + | 0.850610i | ||||
\(789\) | −8.87979e7 | + | 5.12675e7i | −0.180789 | + | 0.104379i | ||||
\(790\) | − | 9.94022e6i | − | 0.0201611i | ||||||
\(791\) | 1.57975e8 | + | 6.84910e8i | 0.319198 | + | 1.38390i | ||||
\(792\) | 4.46050e7 | 0.0897859 | ||||||||
\(793\) | −4.10303e6 | − | 7.10666e6i | −0.00822783 | − | 0.0142510i | ||||
\(794\) | 9.18709e7 | + | 5.30417e7i | 0.183534 | + | 0.105963i | ||||
\(795\) | 1.29189e8 | − | 2.23762e8i | 0.257113 | − | 0.445333i | ||||
\(796\) | 2.50702e8 | − | 1.44743e8i | 0.497072 | − | 0.286985i | ||||
\(797\) | 7.51386e7i | 0.148419i | 0.997243 | + | 0.0742093i | \(0.0236433\pi\) | ||||
−0.997243 | + | 0.0742093i | \(0.976357\pi\) | |||||||
\(798\) | 3.79109e7 | − | 3.53379e7i | 0.0746029 | − | 0.0695397i | ||||
\(799\) | 3.16253e8 | 0.620003 | ||||||||
\(800\) | 1.43625e8 | + | 2.48766e8i | 0.280518 | + | 0.485871i | ||||
\(801\) | −5.52654e7 | − | 3.19075e7i | −0.107536 | − | 0.0620862i | ||||
\(802\) | −2.05590e8 | + | 3.56093e8i | −0.398547 | + | 0.690304i | ||||
\(803\) | 1.43948e8 | − | 8.31084e7i | 0.278009 | − | 0.160509i | ||||
\(804\) | − | 3.05462e8i | − | 0.587746i | ||||||
\(805\) | 1.31449e8 | − | 4.29633e8i | 0.251982 | − | 0.823589i | ||||
\(806\) | −1.19434e8 | −0.228099 | ||||||||
\(807\) | 1.71378e6 | + | 2.96835e6i | 0.00326088 | + | 0.00564801i | ||||
\(808\) | 2.63220e8 | + | 1.51970e8i | 0.498981 | + | 0.288087i | ||||
\(809\) | 3.91158e8 | − | 6.77506e8i | 0.738766 | − | 1.27958i | −0.214285 | − | 0.976771i | \(-0.568742\pi\) |
0.953051 | − | 0.302810i | \(-0.0979246\pi\) | |||||||
\(810\) | −1.53185e7 | + | 8.84412e6i | −0.0288244 | + | 0.0166418i | ||||
\(811\) | 8.00635e8i | 1.50097i | 0.660888 | + | 0.750485i | \(0.270180\pi\) | ||||
−0.660888 | + | 0.750485i | \(0.729820\pi\) | |||||||
\(812\) | −3.89274e8 | − | 1.19101e8i | −0.727089 | − | 0.222457i | ||||
\(813\) | −4.33948e8 | −0.807544 | ||||||||
\(814\) | 8.10887e6 | + | 1.40450e7i | 0.0150344 | + | 0.0260404i | ||||
\(815\) | 4.00863e8 | + | 2.31439e8i | 0.740497 | + | 0.427526i | ||||
\(816\) | −8.66697e7 | + | 1.50116e8i | −0.159513 | + | 0.276285i | ||||
\(817\) | 3.51921e8 | − | 2.03181e8i | 0.645325 | − | 0.372579i | ||||
\(818\) | 1.24637e8i | 0.227712i | ||||||||
\(819\) | −3.95827e7 | − | 4.24647e7i | −0.0720532 | − | 0.0772995i | ||||
\(820\) | 1.61647e8 | 0.293175 | ||||||||
\(821\) | 1.37831e8 | + | 2.38730e8i | 0.249067 | + | 0.431397i | 0.963267 | − | 0.268544i | \(-0.0865426\pi\) |
−0.714200 | + | 0.699942i | \(0.753209\pi\) | |||||||
\(822\) | −1.57223e8 | − | 9.07725e7i | −0.283074 | − | 0.163433i | ||||
\(823\) | 3.78952e8 | − | 6.56364e8i | 0.679806 | − | 1.17746i | −0.295233 | − | 0.955425i | \(-0.595397\pi\) |
0.975039 | − | 0.222033i | \(-0.0712693\pi\) | |||||||
\(824\) | 3.76654e8 | − | 2.17461e8i | 0.673226 | − | 0.388687i | ||||
\(825\) | 6.02072e7i | 0.107223i | ||||||||
\(826\) | −4.66754e8 | + | 1.07657e8i | −0.828224 | + | 0.191031i | ||||
\(827\) | 3.06595e8 | 0.542061 | 0.271030 | − | 0.962571i | \(-0.412636\pi\) | ||||
0.271030 | + | 0.962571i | \(0.412636\pi\) | |||||||
\(828\) | −9.77095e7 | − | 1.69238e8i | −0.172126 | − | 0.298130i | ||||
\(829\) | 1.07092e8 | + | 6.18296e7i | 0.187972 | + | 0.108526i | 0.591033 | − | 0.806647i | \(-0.298720\pi\) |
−0.403061 | + | 0.915173i | \(0.632054\pi\) | |||||||
\(830\) | 1.47527e8 | − | 2.55525e8i | 0.258011 | − | 0.446888i | ||||
\(831\) | 7.76858e7 | − | 4.48519e7i | 0.135375 | − | 0.0781588i | ||||
\(832\) | 3.88346e6i | 0.00674293i | ||||||||
\(833\) | 7.38180e8 | + | 5.19240e7i | 1.27711 | + | 0.0898325i | ||||
\(834\) | 2.28657e8 | 0.394172 | ||||||||
\(835\) | 9.31869e7 | + | 1.61405e8i | 0.160065 | + | 0.277240i | ||||
\(836\) | 5.25330e7 | + | 3.03300e7i | 0.0899112 | + | 0.0519102i | ||||
\(837\) | −9.00542e7 | + | 1.55978e8i | −0.153577 | + | 0.266004i | ||||
\(838\) | 1.16781e8 | − | 6.74238e7i | 0.198446 | − | 0.114573i | ||||
\(839\) | 2.04720e8i | 0.346637i | 0.984866 | + | 0.173318i | \(0.0554489\pi\) | ||||
−0.984866 | + | 0.173318i | \(0.944551\pi\) | |||||||
\(840\) | 4.13944e7 | + | 1.79468e8i | 0.0698400 | + | 0.302795i | ||||
\(841\) | −5.31198e7 | −0.0893035 | ||||||||
\(842\) | −1.07097e8 | − | 1.85497e8i | −0.179407 | − | 0.310743i | ||||
\(843\) | 2.37374e8 | + | 1.37048e8i | 0.396233 | + | 0.228765i | ||||
\(844\) | 2.68213e7 | − | 4.64559e7i | 0.0446121 | − | 0.0772705i | ||||
\(845\) | 3.12304e8 | − | 1.80309e8i | 0.517615 | − | 0.298845i | ||||
\(846\) | − | 4.40637e7i | − | 0.0727729i | ||||||
\(847\) | −3.95337e8 | + | 3.68505e8i | −0.650604 | + | 0.606448i | ||||
\(848\) | −3.52789e8 | −0.578532 | ||||||||
\(849\) | 1.14719e8 | + | 1.98699e8i | 0.187462 | + | 0.324693i | ||||
\(850\) | 1.71430e8 | + | 9.89754e7i | 0.279146 | + | 0.161165i | ||||
\(851\) | 8.01131e7 | − | 1.38760e8i | 0.129991 | − | 0.225152i | ||||
\(852\) | 1.07478e8 | − | 6.20525e7i | 0.173780 | − | 0.100332i | ||||
\(853\) | − | 1.81851e8i | − | 0.293001i | −0.989211 | − | 0.146500i | \(-0.953199\pi\) | ||
0.989211 | − | 0.146500i | \(-0.0468010\pi\) | |||||||
\(854\) | 4.26408e6 | − | 1.39369e7i | 0.00684624 | − | 0.0223766i | ||||
\(855\) | −5.42454e7 | −0.0867890 | ||||||||
\(856\) | −2.43613e8 | − | 4.21950e8i | −0.388400 | − | 0.672729i | ||||
\(857\) | −5.32176e8 | − | 3.07252e8i | −0.845499 | − | 0.488149i | 0.0136307 | − | 0.999907i | \(-0.495661\pi\) |
−0.859130 | + | 0.511758i | \(0.828994\pi\) | |||||||
\(858\) | −8.66554e6 | + | 1.50092e7i | −0.0137194 | + | 0.0237626i | ||||
\(859\) | −1.89532e8 | + | 1.09426e8i | −0.299022 | + | 0.172640i | −0.642003 | − | 0.766702i | \(-0.721897\pi\) |
0.342981 | + | 0.939342i | \(0.388563\pi\) | |||||||
\(860\) | 6.40386e8i | 1.00681i | ||||||||
\(861\) | −1.95135e8 | − | 5.97028e7i | −0.305722 | − | 0.0935374i | ||||
\(862\) | 2.14729e8 | 0.335250 | ||||||||
\(863\) | 3.29715e8 | + | 5.71084e8i | 0.512988 | + | 0.888521i | 0.999887 | + | 0.0150623i | \(0.00479467\pi\) |
−0.486899 | + | 0.873458i | \(0.661872\pi\) | |||||||
\(864\) | 1.07988e8 | + | 6.23467e7i | 0.167430 | + | 0.0966657i | ||||
\(865\) | −2.85741e8 | + | 4.94918e8i | −0.441494 | + | 0.764689i | ||||
\(866\) | 2.00121e8 | − | 1.15540e8i | 0.308133 | − | 0.177901i | ||||
\(867\) | 2.40461e8i | 0.368967i | ||||||||
\(868\) | 5.67045e8 | + | 6.08333e8i | 0.867079 | + | 0.930212i | ||||
\(869\) | −1.46873e7 | −0.0223812 | ||||||||
\(870\) | −5.43408e7 | − | 9.41211e7i | −0.0825218 | − | 0.142932i | ||||
\(871\) | 2.31788e8 | + | 1.33823e8i | 0.350781 | + | 0.202524i | ||||
\(872\) | −1.52222e8 | + | 2.63656e8i | −0.229577 | + | 0.397639i | ||||
\(873\) | −1.21036e8 | + | 6.98804e7i | −0.181917 | + | 0.105030i | ||||
\(874\) | 1.52864e8i | 0.228966i | ||||||||
\(875\) | −6.75998e8 | + | 1.55920e8i | −1.00907 | + | 0.232743i | ||||
\(876\) | 2.98518e8 | 0.444077 | ||||||||
\(877\) | −8.11828e7 | − | 1.40613e8i | −0.120355 | − | 0.208462i | 0.799552 | − | 0.600596i | \(-0.205070\pi\) |
−0.919908 | + | 0.392135i | \(0.871737\pi\) | |||||||
\(878\) | −4.75256e8 | − | 2.74389e8i | −0.702173 | − | 0.405400i | ||||
\(879\) | 2.72598e7 | − | 4.72153e7i | 0.0401380 | − | 0.0695210i | ||||
\(880\) | −5.62840e7 | + | 3.24956e7i | −0.0825918 | + | 0.0476844i | ||||
\(881\) | − | 8.48365e8i | − | 1.24067i | −0.784338 | − | 0.620333i | \(-0.786997\pi\) | ||
0.784338 | − | 0.620333i | \(-0.213003\pi\) | |||||||
\(882\) | 7.23461e6 | − | 1.02851e8i | 0.0105441 | − | 0.149900i | ||||
\(883\) | 3.14592e8 | 0.456947 | 0.228473 | − | 0.973550i | \(-0.426627\pi\) | ||||
0.228473 | + | 0.973550i | \(0.426627\pi\) | |||||||
\(884\) | −1.11698e8 | − | 1.93466e8i | −0.161692 | − | 0.280058i | ||||
\(885\) | 4.34193e8 | + | 2.50682e8i | 0.626402 | + | 0.361654i | ||||
\(886\) | 6.23635e7 | − | 1.08017e8i | 0.0896663 | − | 0.155307i | ||||
\(887\) | −7.25058e8 | + | 4.18612e8i | −1.03897 | + | 0.599848i | −0.919540 | − | 0.392995i | \(-0.871439\pi\) |
−0.119426 | + | 0.992843i | \(0.538106\pi\) | |||||||
\(888\) | 6.56819e7i | 0.0938009i | ||||||||
\(889\) | −1.26957e8 | − | 5.50429e8i | −0.180697 | − | 0.783422i | ||||
\(890\) | −7.86663e7 | −0.111588 | ||||||||
\(891\) | 1.30678e7 | + | 2.26341e7i | 0.0184743 | + | 0.0319985i | ||||
\(892\) | −4.40119e8 | − | 2.54103e8i | −0.620119 | − | 0.358026i | ||||
\(893\) | 6.75662e7 | − | 1.17028e8i | 0.0948800 | − | 0.164337i | ||||
\(894\) | −1.36069e8 | + | 7.85597e7i | −0.190436 | + | 0.109948i | ||||
\(895\) | − | 6.55573e8i | − | 0.914433i | ||||||
\(896\) | 5.23545e8 | − | 4.88012e8i | 0.727830 | − | 0.678432i | ||||
\(897\) | 1.71226e8 | 0.237242 | ||||||||
\(898\) | −2.41267e8 | − | 4.17886e8i | −0.333172 | − | 0.577070i | ||||
\(899\) | −9.58376e8 | − | 5.53319e8i | −1.31904 | − | 0.761546i | ||||
\(900\) | −5.40647e7 | + | 9.36429e7i | −0.0741629 | + | 0.128454i | ||||
\(901\) | −1.08703e9 | + | 6.27598e8i | −1.48617 | + | 0.858039i | ||||
\(902\) | 6.09222e7i | 0.0830148i | ||||||||
\(903\) | 2.36520e8 | − | 7.73054e8i | 0.321222 | − | 1.04990i | ||||
\(904\) | 8.49870e8 | 1.15040 | ||||||||
\(905\) | 1.09488e8 | + | 1.89638e8i | 0.147713 | + | 0.255847i | ||||
\(906\) | −2.93635e7 | − | 1.69530e7i | −0.0394842 | − | 0.0227962i | ||||
\(907\) | −3.44024e8 | + | 5.95867e8i | −0.461070 | + | 0.798596i | −0.999015 | − | 0.0443839i | \(-0.985868\pi\) |
0.537945 | + | 0.842980i | \(0.319201\pi\) | |||||||
\(908\) | 8.15700e8 | − | 4.70945e8i | 1.08962 | − | 0.629090i | ||||
\(909\) | 1.78089e8i | 0.237107i | ||||||||
\(910\) | −6.84310e7 | − | 2.09369e7i | −0.0908089 | − | 0.0277835i | ||||
\(911\) | 2.31613e8 | 0.306343 | 0.153171 | − | 0.988200i | \(-0.451051\pi\) | ||||
0.153171 | + | 0.988200i | \(0.451051\pi\) | |||||||
\(912\) | 3.70333e7 | + | 6.41436e7i | 0.0488211 | + | 0.0845607i | ||||
\(913\) | −3.77555e8 | − | 2.17981e8i | −0.496098 | − | 0.286422i | ||||
\(914\) | 2.75045e7 | − | 4.76393e7i | 0.0360218 | − | 0.0623917i | ||||
\(915\) | −1.32111e7 | + | 7.62741e6i | −0.0172455 | + | 0.00995667i | ||||
\(916\) | − | 6.94307e8i | − | 0.903369i | ||||||
\(917\) | −4.81971e8 | − | 5.17064e8i | −0.625047 | − | 0.670557i | ||||
\(918\) | 8.59292e7 | 0.111074 | ||||||||
\(919\) | 5.62582e8 | + | 9.74420e8i | 0.724835 | + | 1.25545i | 0.959042 | + | 0.283264i | \(0.0914174\pi\) |
−0.234207 | + | 0.972187i | \(0.575249\pi\) | |||||||
\(920\) | −4.70461e8 | − | 2.71621e8i | −0.604171 | − | 0.348818i | ||||
\(921\) | −3.11530e8 | + | 5.39587e8i | −0.398769 | + | 0.690689i | ||||
\(922\) | 9.52653e7 | − | 5.50014e7i | 0.121546 | − | 0.0701748i | ||||
\(923\) | 1.08740e8i | 0.138289i | ||||||||
\(924\) | 1.17591e8 | − | 2.71225e7i | 0.149059 | − | 0.0343806i | ||||
\(925\) | −8.86565e7 | −0.112017 | ||||||||
\(926\) | −2.91515e8 | − | 5.04918e8i | −0.367136 | − | 0.635899i | ||||
\(927\) | 2.20694e8 | + | 1.27418e8i | 0.277046 | + | 0.159953i | ||||
\(928\) | −3.83076e8 | + | 6.63507e8i | −0.479337 | + | 0.830237i | ||||
\(929\) | −5.93421e8 | + | 3.42612e8i | −0.740143 | + | 0.427322i | −0.822121 | − | 0.569312i | \(-0.807210\pi\) |
0.0819782 | + | 0.996634i | \(0.473876\pi\) | |||||||
\(930\) | 2.22024e8i | 0.276027i | ||||||||
\(931\) | 1.76923e8 | − | 2.62067e8i | 0.219248 | − | 0.324761i | ||||
\(932\) | −520438. | −0.000642867 | ||||||||
\(933\) | −2.59933e8 | − | 4.50218e8i | −0.320049 | − | 0.554342i | ||||
\(934\) | 2.05871e8 | + | 1.18860e8i | 0.252670 | + | 0.145879i | ||||
\(935\) | −1.15617e8 | + | 2.00254e8i | −0.141445 | + | 0.244989i | ||||
\(936\) | −6.07872e7 | + | 3.50955e7i | −0.0741284 | + | 0.0427980i | ||||
\(937\) | 7.87984e8i | 0.957852i | 0.877855 | + | 0.478926i | \(0.158974\pi\) | ||||
−0.877855 | + | 0.478926i | \(0.841026\pi\) | |||||||
\(938\) | 1.06837e8 | + | 4.63199e8i | 0.129454 | + | 0.561253i | ||||
\(939\) | 2.92905e8 | 0.353778 | ||||||||
\(940\) | 1.06477e8 | + | 1.84424e8i | 0.128196 | + | 0.222041i | ||||
\(941\) | 1.79551e8 | + | 1.03664e8i | 0.215486 | + | 0.124411i | 0.603859 | − | 0.797092i | \(-0.293629\pi\) |
−0.388372 | + | 0.921503i | \(0.626963\pi\) | |||||||
\(942\) | 4.01716e7 | − | 6.95793e7i | 0.0480581 | − | 0.0832391i | ||||
\(943\) | 5.21254e8 | − | 3.00946e8i | 0.621604 | − | 0.358883i | ||||
\(944\) | − | 6.84561e8i | − | 0.813759i | ||||||
\(945\) | −7.89406e7 | + | 7.35830e7i | −0.0935417 | + | 0.0871930i | ||||
\(946\) | −2.41351e8 | −0.285086 | ||||||||
\(947\) | 1.77030e8 | + | 3.06624e8i | 0.208447 | + | 0.361041i | 0.951226 | − | 0.308496i | \(-0.0998258\pi\) |
−0.742778 | + | 0.669537i | \(0.766492\pi\) | |||||||
\(948\) | −2.28439e7 | − | 1.31889e7i | −0.0268129 | − | 0.0154805i | ||||
\(949\) | −1.30780e8 | + | 2.26518e8i | −0.153019 | + | 0.265036i | ||||
\(950\) | 7.32509e7 | − | 4.22914e7i | 0.0854363 | − | 0.0493267i | ||||
\(951\) | 3.17960e8i | 0.369685i | ||||||||
\(952\) | 2.61773e8 | − | 8.55592e8i | 0.303399 | − | 0.991644i | ||||
\(953\) | −4.28652e8 | −0.495252 | −0.247626 | − | 0.968856i | \(-0.579650\pi\) | ||||
−0.247626 | + | 0.968856i | \(0.579650\pi\) | |||||||
\(954\) | 8.74436e7 | + | 1.51457e8i | 0.100712 | + | 0.174439i | ||||
\(955\) | −8.87803e8 | − | 5.12573e8i | −1.01931 | − | 0.588499i | ||||
\(956\) | 6.36311e7 | − | 1.10212e8i | 0.0728276 | − | 0.126141i | ||||
\(957\) | −1.39070e8 | + | 8.02922e7i | −0.158671 | + | 0.0916089i | ||||
\(958\) | − | 3.31711e8i | − | 0.377280i | ||||||
\(959\) | −1.05915e9 | − | 3.24054e8i | −1.20089 | − | 0.367419i | ||||
\(960\) | 7.21923e6 | 0.00815975 | ||||||||
\(961\) | 6.86614e8 | + | 1.18925e9i | 0.773646 | + | 1.33999i | ||||
\(962\) | −2.21013e7 | − | 1.27602e7i | −0.0248252 | − | 0.0143329i | ||||
\(963\) | 1.42741e8 | − | 2.47235e8i | 0.159834 | − | 0.276841i | ||||
\(964\) | −2.41581e8 | + | 1.39477e8i | −0.269669 | + | 0.155694i | ||||
\(965\) | − | 1.11235e9i | − | 1.23782i | ||||||
\(966\) | 2.07357e8 | + | 2.22455e8i | 0.230032 | + | 0.246781i | ||||
\(967\) | 1.16972e9 | 1.29361 | 0.646805 | − | 0.762655i | \(-0.276105\pi\) | ||||
0.646805 | + | 0.762655i | \(0.276105\pi\) | |||||||
\(968\) | 3.26731e8 | + | 5.65915e8i | 0.360217 | + | 0.623914i | ||||
\(969\) | 2.28218e8 | + | 1.31762e8i | 0.250829 | + | 0.144816i | ||||
\(970\) | −8.61432e7 | + | 1.49204e8i | −0.0943856 | + | 0.163481i | ||||
\(971\) | 6.09512e8 | − | 3.51902e8i | 0.665770 | − | 0.384383i | −0.128702 | − | 0.991683i | \(-0.541081\pi\) |
0.794472 | + | 0.607301i | \(0.207748\pi\) | |||||||
\(972\) | 4.69383e7i | 0.0511127i | ||||||||
\(973\) | 1.35936e9 | − | 3.13537e8i | 1.47569 | − | 0.340370i | ||||
\(974\) | 6.87949e8 | 0.744525 | ||||||||
\(975\) | −4.73714e7 | − | 8.20497e7i | −0.0511096 | − | 0.0885244i | ||||
\(976\) | 1.80384e7 | + | 1.04145e7i | 0.0194021 | + | 0.0112018i | ||||
\(977\) | −2.21206e8 | + | 3.83140e8i | −0.237199 | + | 0.410841i | −0.959910 | − | 0.280310i | \(-0.909563\pi\) |
0.722710 | + | 0.691151i | \(0.242896\pi\) | |||||||
\(978\) | −2.71331e8 | + | 1.56653e8i | −0.290056 | + | 0.167464i | ||||
\(979\) | 1.16235e8i | 0.123876i | ||||||||
\(980\) | 2.18254e8 | + | 4.47954e8i | 0.231891 | + | 0.475944i | ||||
\(981\) | −1.78384e8 | −0.188951 | ||||||||
\(982\) | 1.59679e8 | + | 2.76571e8i | 0.168621 | + | 0.292061i | ||||
\(983\) | −1.01182e9 | − | 5.84175e8i | −1.06523 | − | 0.615011i | −0.138355 | − | 0.990383i | \(-0.544182\pi\) |
−0.926874 | + | 0.375372i | \(0.877515\pi\) | |||||||
\(984\) | −1.23368e8 | + | 2.13679e8i | −0.129484 | + | 0.224273i | ||||
\(985\) | −6.77928e8 | + | 3.91402e8i | −0.709374 | + | 0.409557i | ||||
\(986\) | 5.27974e8i | 0.550784i | ||||||||
\(987\) | −6.04208e7 | − | 2.61957e8i | −0.0628398 | − | 0.272445i | ||||
\(988\) | −9.54552e7 | −0.0989758 | ||||||||
\(989\) | 1.19224e9 | + | 2.06501e9i | 1.23246 | + | 2.13468i | ||||
\(990\) | 2.79016e7 | + | 1.61090e7i | 0.0287556 | + | 0.0166021i | ||||
\(991\) | 5.01818e8 | − | 8.69174e8i | 0.515615 | − | 0.893071i | −0.484221 | − | 0.874946i | \(-0.660897\pi\) |
0.999836 | − | 0.0181249i | \(-0.00576967\pi\) | |||||||
\(992\) | 1.35547e9 | − | 7.82580e8i | 1.38853 | − | 0.801666i | ||||
\(993\) | 3.32890e8i | 0.339979i | ||||||||
\(994\) | −1.41275e8 | + | 1.31687e8i | −0.143849 | + | 0.134086i | ||||
\(995\) | 4.71522e8 | 0.478666 | ||||||||
\(996\) | −3.91485e8 | − | 6.78072e8i | −0.396220 | − | 0.686274i | ||||
\(997\) | 1.60115e9 | + | 9.24424e8i | 1.61565 | + | 0.932794i | 0.988028 | + | 0.154274i | \(0.0493037\pi\) |
0.627619 | + | 0.778521i | \(0.284030\pi\) | |||||||
\(998\) | −9.44016e7 | + | 1.63508e8i | −0.0949703 | + | 0.164493i | ||||
\(999\) | −3.33292e7 | + | 1.92426e7i | −0.0334294 | + | 0.0193005i |
(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 | 21.7.f.b.10.3 | ✓ | 8 | |
3.2 | odd | 2 | 63.7.m.c.10.2 | 8 | |||
4.3 | odd | 2 | 336.7.bh.b.241.3 | 8 | |||
7.2 | even | 3 | 147.7.f.a.19.3 | 8 | |||
7.3 | odd | 6 | 147.7.d.a.97.4 | 8 | |||
7.4 | even | 3 | 147.7.d.a.97.3 | 8 | |||
7.5 | odd | 6 | inner | 21.7.f.b.19.3 | yes | 8 | |
7.6 | odd | 2 | 147.7.f.a.31.3 | 8 | |||
21.5 | even | 6 | 63.7.m.c.19.2 | 8 | |||
21.11 | odd | 6 | 441.7.d.d.244.5 | 8 | |||
21.17 | even | 6 | 441.7.d.d.244.6 | 8 | |||
28.19 | even | 6 | 336.7.bh.b.145.3 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
21.7.f.b.10.3 | ✓ | 8 | 1.1 | even | 1 | trivial | |
21.7.f.b.19.3 | yes | 8 | 7.5 | odd | 6 | inner | |
63.7.m.c.10.2 | 8 | 3.2 | odd | 2 | |||
63.7.m.c.19.2 | 8 | 21.5 | even | 6 | |||
147.7.d.a.97.3 | 8 | 7.4 | even | 3 | |||
147.7.d.a.97.4 | 8 | 7.3 | odd | 6 | |||
147.7.f.a.19.3 | 8 | 7.2 | even | 3 | |||
147.7.f.a.31.3 | 8 | 7.6 | odd | 2 | |||
336.7.bh.b.145.3 | 8 | 28.19 | even | 6 | |||
336.7.bh.b.241.3 | 8 | 4.3 | odd | 2 | |||
441.7.d.d.244.5 | 8 | 21.11 | odd | 6 | |||
441.7.d.d.244.6 | 8 | 21.17 | even | 6 |