Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [72,7,Mod(43,72)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(72, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 4]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("72.43");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 72 = 2^{3} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 72.p (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: | \(16.5638940206\) |
Analytic rank: | \(0\) |
Dimension: | \(136\) |
Relative dimension: | \(68\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 43.19 | ||
Character | \(\chi\) | \(=\) | 72.43 |
Dual form | 72.7.p.b.67.19 |
$q$-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 \(\left(\mathbb{Z}/72\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(55\) | \(65\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −5.16108 | − | 6.11255i | −0.645136 | − | 0.764068i | ||||
\(3\) | 23.0486 | + | 14.0627i | 0.853653 | + | 0.520842i | ||||
\(4\) | −10.7264 | + | 63.0947i | −0.167600 | + | 0.985855i | ||||
\(5\) | −44.3287 | + | 25.5932i | −0.354630 | + | 0.204746i | −0.666723 | − | 0.745306i | \(-0.732303\pi\) |
0.312093 | + | 0.950052i | \(0.398970\pi\) | |||||||
\(6\) | −32.9969 | − | 213.465i | −0.152764 | − | 0.988263i | ||||
\(7\) | 23.6171 | + | 13.6353i | 0.0688544 | + | 0.0397531i | 0.534032 | − | 0.845464i | \(-0.320676\pi\) |
−0.465178 | + | 0.885217i | \(0.654010\pi\) | |||||||
\(8\) | 441.029 | − | 260.072i | 0.861385 | − | 0.507952i | ||||
\(9\) | 333.480 | + | 648.253i | 0.457448 | + | 0.889236i | ||||
\(10\) | 385.224 | + | 138.873i | 0.385224 | + | 0.138873i | ||||
\(11\) | 53.8075 | − | 93.1973i | 0.0404264 | − | 0.0700205i | −0.845104 | − | 0.534602i | \(-0.820462\pi\) |
0.885531 | + | 0.464581i | \(0.153795\pi\) | |||||||
\(12\) | −1134.51 | + | 1303.40i | −0.656547 | + | 0.754285i | ||||
\(13\) | −1326.14 | + | 765.646i | −0.603613 | + | 0.348496i | −0.770462 | − | 0.637487i | \(-0.779974\pi\) |
0.166849 | + | 0.985983i | \(0.446641\pi\) | |||||||
\(14\) | −38.5431 | − | 214.733i | −0.0140463 | − | 0.0782556i | ||||
\(15\) | −1381.63 | − | 33.4942i | −0.409371 | − | 0.00992422i | ||||
\(16\) | −3865.89 | − | 1353.56i | −0.943820 | − | 0.330459i | ||||
\(17\) | −2175.58 | −0.442821 | −0.221410 | − | 0.975181i | \(-0.571066\pi\) | ||||
−0.221410 | + | 0.975181i | \(0.571066\pi\) | |||||||
\(18\) | 2241.36 | − | 5384.10i | 0.384321 | − | 0.923199i | ||||
\(19\) | −6048.23 | −0.881795 | −0.440897 | − | 0.897558i | \(-0.645340\pi\) | ||||
−0.440897 | + | 0.897558i | \(0.645340\pi\) | |||||||
\(20\) | −1139.31 | − | 3071.43i | −0.142413 | − | 0.383929i | ||||
\(21\) | 352.591 | + | 646.395i | 0.0380727 | + | 0.0697976i | ||||
\(22\) | −847.378 | + | 152.099i | −0.0795810 | + | 0.0142842i | ||||
\(23\) | −5659.12 | + | 3267.29i | −0.465120 | + | 0.268537i | −0.714195 | − | 0.699947i | \(-0.753207\pi\) |
0.249075 | + | 0.968484i | \(0.419874\pi\) | |||||||
\(24\) | 13822.4 | + | 207.779i | 0.999887 | + | 0.0150303i | ||||
\(25\) | −6502.48 | + | 11262.6i | −0.416158 | + | 0.720808i | ||||
\(26\) | 11524.3 | + | 4154.51i | 0.655687 | + | 0.236374i | ||||
\(27\) | −1429.96 | + | 19631.0i | −0.0726495 | + | 0.997358i | ||||
\(28\) | −1113.64 | + | 1343.85i | −0.0507308 | + | 0.0612178i | ||||
\(29\) | 22871.4 | + | 13204.8i | 0.937775 | + | 0.541425i | 0.889262 | − | 0.457398i | \(-0.151218\pi\) |
0.0485130 | + | 0.998823i | \(0.484552\pi\) | |||||||
\(30\) | 6925.96 | + | 8618.13i | 0.256517 | + | 0.319190i | ||||
\(31\) | −31456.6 | + | 18161.5i | −1.05591 | + | 0.609630i | −0.924298 | − | 0.381672i | \(-0.875348\pi\) |
−0.131612 | + | 0.991301i | \(0.542015\pi\) | |||||||
\(32\) | 11678.5 | + | 30616.3i | 0.356399 | + | 0.934334i | ||||
\(33\) | 2550.80 | − | 1391.39i | 0.0709797 | − | 0.0387175i | ||||
\(34\) | 11228.3 | + | 13298.3i | 0.285679 | + | 0.338345i | ||||
\(35\) | −1395.89 | −0.0325571 | ||||||||
\(36\) | −44478.4 | + | 14087.4i | −0.953327 | + | 0.301941i | ||||
\(37\) | 29560.9i | 0.583596i | 0.956480 | + | 0.291798i | \(0.0942534\pi\) | ||||
−0.956480 | + | 0.291798i | \(0.905747\pi\) | |||||||
\(38\) | 31215.4 | + | 36970.1i | 0.568877 | + | 0.673751i | ||||
\(39\) | −41332.7 | − | 1002.01i | −0.696787 | − | 0.0168919i | ||||
\(40\) | −12894.2 | + | 22816.0i | −0.201472 | + | 0.356500i | ||||
\(41\) | 7645.99 | + | 13243.2i | 0.110938 | + | 0.192151i | 0.916149 | − | 0.400838i | \(-0.131281\pi\) |
−0.805210 | + | 0.592989i | \(0.797948\pi\) | |||||||
\(42\) | 2131.37 | − | 5491.33i | 0.0287681 | − | 0.0741190i | ||||
\(43\) | −5647.17 | + | 9781.18i | −0.0710273 | + | 0.123023i | −0.899352 | − | 0.437226i | \(-0.855961\pi\) |
0.828324 | + | 0.560249i | \(0.189294\pi\) | |||||||
\(44\) | 5303.10 | + | 4394.64i | 0.0622546 | + | 0.0515900i | ||||
\(45\) | −31373.6 | − | 20201.4i | −0.344292 | − | 0.221689i | ||||
\(46\) | 49178.7 | + | 17728.8i | 0.505246 | + | 0.182141i | ||||
\(47\) | 49746.5 | + | 28721.1i | 0.479147 | + | 0.276636i | 0.720061 | − | 0.693911i | \(-0.244114\pi\) |
−0.240914 | + | 0.970546i | \(0.577447\pi\) | |||||||
\(48\) | −70068.7 | − | 85562.6i | −0.633579 | − | 0.773678i | ||||
\(49\) | −58452.7 | − | 101243.i | −0.496839 | − | 0.860551i | ||||
\(50\) | 102403. | − | 18380.6i | 0.819225 | − | 0.147045i | ||||
\(51\) | −50144.1 | − | 30594.6i | −0.378015 | − | 0.230640i | ||||
\(52\) | −34083.5 | − | 91884.9i | −0.242401 | − | 0.653483i | ||||
\(53\) | 20567.2i | 0.138149i | 0.997612 | + | 0.0690745i | \(0.0220046\pi\) | ||||
−0.997612 | + | 0.0690745i | \(0.977995\pi\) | |||||||
\(54\) | 127375. | − | 92576.5i | 0.808918 | − | 0.587922i | ||||
\(55\) | 5508.43i | 0.0331085i | ||||||||
\(56\) | 13962.0 | − | 128.551i | 0.0795028 | − | 0.000732002i | ||||
\(57\) | −139403. | − | 85054.6i | −0.752747 | − | 0.459275i | ||||
\(58\) | −37326.2 | − | 207954.i | −0.191307 | − | 1.06582i | ||||
\(59\) | −29782.4 | − | 51584.7i | −0.145012 | − | 0.251168i | 0.784365 | − | 0.620299i | \(-0.212989\pi\) |
−0.929377 | + | 0.369131i | \(0.879655\pi\) | |||||||
\(60\) | 16933.2 | − | 86814.1i | 0.0783945 | − | 0.401917i | ||||
\(61\) | −52425.6 | − | 30267.9i | −0.230969 | − | 0.133350i | 0.380050 | − | 0.924966i | \(-0.375907\pi\) |
−0.611019 | + | 0.791616i | \(0.709240\pi\) | |||||||
\(62\) | 273363. | + | 98547.0i | 1.14700 | + | 0.413493i | ||||
\(63\) | −963.333 | + | 19856.9i | −0.00385261 | + | 0.0794128i | ||||
\(64\) | 126870. | − | 229398.i | 0.483969 | − | 0.875085i | ||||
\(65\) | 39190.7 | − | 67880.2i | 0.142706 | − | 0.247174i | ||||
\(66\) | −21669.8 | − | 8410.78i | −0.0753744 | − | 0.0292553i | ||||
\(67\) | −165375. | − | 286438.i | −0.549852 | − | 0.952372i | −0.998284 | − | 0.0585547i | \(-0.981351\pi\) |
0.448432 | − | 0.893817i | \(-0.351983\pi\) | |||||||
\(68\) | 23336.2 | − | 137268.i | 0.0742168 | − | 0.436557i | ||||
\(69\) | −176382. | − | 4275.96i | −0.536917 | − | 0.0130163i | ||||
\(70\) | 7204.28 | + | 8532.41i | 0.0210037 | + | 0.0248758i | ||||
\(71\) | 495717.i | 1.38503i | 0.721405 | + | 0.692514i | \(0.243497\pi\) | ||||
−0.721405 | + | 0.692514i | \(0.756503\pi\) | |||||||
\(72\) | 315666. | + | 199170.i | 0.845728 | + | 0.533614i | ||||
\(73\) | −548593. | −1.41020 | −0.705102 | − | 0.709106i | \(-0.749099\pi\) | ||||
−0.705102 | + | 0.709106i | \(0.749099\pi\) | |||||||
\(74\) | 180692. | − | 152566.i | 0.445907 | − | 0.376498i | ||||
\(75\) | −308256. | + | 168145.i | −0.730682 | + | 0.398567i | ||||
\(76\) | 64875.8 | − | 381611.i | 0.147789 | − | 0.869322i | ||||
\(77\) | 2541.55 | − | 1467.36i | 0.00556707 | − | 0.00321415i | ||||
\(78\) | 207197. | + | 257820.i | 0.436616 | + | 0.543291i | ||||
\(79\) | 742702. | + | 428799.i | 1.50638 | + | 0.869707i | 0.999973 | + | 0.00741024i | \(0.00235877\pi\) |
0.506404 | + | 0.862297i | \(0.330975\pi\) | |||||||
\(80\) | 206012. | − | 38938.9i | 0.402367 | − | 0.0760525i | ||||
\(81\) | −309024. | + | 432358.i | −0.581483 | + | 0.813559i | ||||
\(82\) | 41488.3 | − | 115086.i | 0.0752461 | − | 0.208728i | ||||
\(83\) | 305093. | − | 528437.i | 0.533579 | − | 0.924186i | −0.465652 | − | 0.884968i | \(-0.654180\pi\) |
0.999231 | − | 0.0392177i | \(-0.0124866\pi\) | |||||||
\(84\) | −44566.2 | + | 15313.1i | −0.0751913 | + | 0.0258361i | ||||
\(85\) | 96440.6 | − | 55680.0i | 0.157037 | − | 0.0906656i | ||||
\(86\) | 88933.4 | − | 15962.9i | 0.139820 | − | 0.0250968i | ||||
\(87\) | 341459. | + | 625987.i | 0.518538 | + | 0.950621i | ||||
\(88\) | −507.287 | − | 55096.6i | −0.000744400 | − | 0.0808493i | ||||
\(89\) | 529286. | 0.750794 | 0.375397 | − | 0.926864i | \(-0.377506\pi\) | ||||
0.375397 | + | 0.926864i | \(0.377506\pi\) | |||||||
\(90\) | 38439.6 | + | 296034.i | 0.0527292 | + | 0.406082i | ||||
\(91\) | −41759.3 | −0.0554152 | ||||||||
\(92\) | −145447. | − | 392107.i | −0.186785 | − | 0.503548i | ||||
\(93\) | −980432. | − | 23768.2i | −1.21890 | − | 0.0295493i | ||||
\(94\) | −81186.5 | − | 452310.i | −0.0977462 | − | 0.544568i | ||||
\(95\) | 268110. | − | 154794.i | 0.312711 | − | 0.180544i | ||||
\(96\) | −161375. | + | 869894.i | −0.182399 | + | 0.983225i | ||||
\(97\) | −194127. | + | 336237.i | −0.212701 | + | 0.368409i | −0.952559 | − | 0.304354i | \(-0.901559\pi\) |
0.739858 | + | 0.672763i | \(0.234893\pi\) | |||||||
\(98\) | −317173. | + | 879818.i | −0.336991 | + | 0.934791i | ||||
\(99\) | 78359.2 | + | 3801.50i | 0.0807578 | + | 0.00391786i | ||||
\(100\) | −640864. | − | 531079.i | −0.640864 | − | 0.531079i | ||||
\(101\) | −1.59430e6 | − | 920471.i | −1.54741 | − | 0.893400i | −0.998338 | − | 0.0576274i | \(-0.981646\pi\) |
−0.549076 | − | 0.835773i | \(-0.685020\pi\) | |||||||
\(102\) | 71787.4 | + | 464409.i | 0.0676469 | + | 0.437623i | ||||
\(103\) | 1.11680e6 | − | 644785.i | 1.02203 | − | 0.590069i | 0.107339 | − | 0.994223i | \(-0.465767\pi\) |
0.914691 | + | 0.404153i | \(0.132434\pi\) | |||||||
\(104\) | −385743. | + | 682563.i | −0.342924 | + | 0.606796i | ||||
\(105\) | −32173.3 | − | 19630.0i | −0.0277925 | − | 0.0169571i | ||||
\(106\) | 125718. | − | 106149.i | 0.105555 | − | 0.0891248i | ||||
\(107\) | 1.92418e6 | 1.57071 | 0.785354 | − | 0.619047i | \(-0.212481\pi\) | ||||
0.785354 | + | 0.619047i | \(0.212481\pi\) | |||||||
\(108\) | −1.22327e6 | − | 300793.i | −0.971074 | − | 0.238779i | ||||
\(109\) | − | 1.87244e6i | − | 1.44587i | −0.690918 | − | 0.722933i | \(-0.742794\pi\) | ||
0.690918 | − | 0.722933i | \(-0.257206\pi\) | |||||||
\(110\) | 33670.5 | − | 28429.5i | 0.0252972 | − | 0.0213595i | ||||
\(111\) | −415706. | + | 681338.i | −0.303961 | + | 0.498188i | ||||
\(112\) | −72844.7 | − | 84679.7i | −0.0518494 | − | 0.0602733i | ||||
\(113\) | 613903. | + | 1.06331e6i | 0.425465 | + | 0.736928i | 0.996464 | − | 0.0840234i | \(-0.0267771\pi\) |
−0.570998 | + | 0.820951i | \(0.693444\pi\) | |||||||
\(114\) | 199573. | + | 1.29108e6i | 0.134706 | + | 0.871445i | ||||
\(115\) | 167241. | − | 289670.i | 0.109964 | − | 0.190463i | ||||
\(116\) | −1.07848e6 | + | 1.30142e6i | −0.690938 | + | 0.833768i | ||||
\(117\) | −938572. | − | 604346.i | −0.586017 | − | 0.377336i | ||||
\(118\) | −161604. | + | 448279.i | −0.0983572 | + | 0.272837i | ||||
\(119\) | −51380.7 | − | 29664.7i | −0.0304901 | − | 0.0176035i | ||||
\(120\) | −618049. | + | 344550.i | −0.357667 | + | 0.199392i | ||||
\(121\) | 879990. | + | 1.52419e6i | 0.496731 | + | 0.860364i | ||||
\(122\) | 85558.8 | + | 476669.i | 0.0471178 | + | 0.262505i | ||||
\(123\) | −10006.4 | + | 412762.i | −0.00537729 | + | 0.221812i | ||||
\(124\) | −808477. | − | 2.17955e6i | −0.424036 | − | 1.14315i | ||||
\(125\) | − | 1.46546e6i | − | 0.750318i | ||||||
\(126\) | 126348. | − | 96594.9i | 0.0631622 | − | 0.0482884i | ||||
\(127\) | 900418.i | 0.439575i | 0.975548 | + | 0.219788i | \(0.0705364\pi\) | ||||
−0.975548 | + | 0.219788i | \(0.929464\pi\) | |||||||
\(128\) | −2.05699e6 | + | 408448.i | −0.980850 | + | 0.194763i | ||||
\(129\) | −267710. | + | 146028.i | −0.124708 | + | 0.0680249i | ||||
\(130\) | −617187. | + | 110781.i | −0.280923 | + | 0.0504237i | ||||
\(131\) | 848172. | + | 1.46908e6i | 0.377285 | + | 0.653477i | 0.990666 | − | 0.136310i | \(-0.0435243\pi\) |
−0.613381 | + | 0.789787i | \(0.710191\pi\) | |||||||
\(132\) | 60428.6 | + | 175867.i | 0.0262737 | + | 0.0764648i | ||||
\(133\) | −142841. | − | 82469.5i | −0.0607154 | − | 0.0350541i | ||||
\(134\) | −897351. | + | 2.48919e6i | −0.372948 | + | 1.03453i | ||||
\(135\) | −439032. | − | 906814.i | −0.178441 | − | 0.368567i | ||||
\(136\) | −959494. | + | 565806.i | −0.381439 | + | 0.224932i | ||||
\(137\) | 1.32744e6 | − | 2.29919e6i | 0.516240 | − | 0.894154i | −0.483582 | − | 0.875299i | \(-0.660665\pi\) |
0.999822 | − | 0.0188552i | \(-0.00600215\pi\) | |||||||
\(138\) | 884185. | + | 1.10021e6i | 0.336439 | + | 0.418638i | ||||
\(139\) | 1.72768e6 | + | 2.99242e6i | 0.643306 | + | 1.11424i | 0.984690 | + | 0.174315i | \(0.0557711\pi\) |
−0.341384 | + | 0.939924i | \(0.610896\pi\) | |||||||
\(140\) | 14972.8 | − | 88073.0i | 0.00545658 | − | 0.0320966i | ||||
\(141\) | 742691. | + | 1.36155e6i | 0.264942 | + | 0.485710i | ||||
\(142\) | 3.03009e6 | − | 2.55844e6i | 1.05826 | − | 0.893531i | ||||
\(143\) | 164790.i | 0.0563537i | ||||||||
\(144\) | −411745. | − | 2.95746e6i | −0.137892 | − | 0.990447i | ||||
\(145\) | −1.35181e6 | −0.443417 | ||||||||
\(146\) | 2.83134e6 | + | 3.35330e6i | 0.909773 | + | 1.07749i | ||||
\(147\) | 76497.9 | − | 3.15552e6i | 0.0240823 | − | 0.993387i | ||||
\(148\) | −1.86514e6 | − | 317082.i | −0.575341 | − | 0.0978108i | ||||
\(149\) | 4.70904e6 | − | 2.71877e6i | 1.42355 | − | 0.821889i | 0.426954 | − | 0.904274i | \(-0.359587\pi\) |
0.996601 | + | 0.0823842i | \(0.0262534\pi\) | |||||||
\(150\) | 2.61873e6 | + | 1.01642e6i | 0.775921 | + | 0.301161i | ||||
\(151\) | 4.40080e6 | + | 2.54080e6i | 1.27820 | + | 0.737972i | 0.976518 | − | 0.215435i | \(-0.0691171\pi\) |
0.301687 | + | 0.953407i | \(0.402450\pi\) | |||||||
\(152\) | −2.66745e6 | + | 1.57297e6i | −0.759565 | + | 0.447909i | ||||
\(153\) | −725511. | − | 1.41033e6i | −0.202567 | − | 0.393772i | ||||
\(154\) | −22086.5 | − | 7962.14i | −0.00604734 | − | 0.00218006i | ||||
\(155\) | 929621. | − | 1.61015e6i | 0.249638 | − | 0.432386i | ||||
\(156\) | 506574. | − | 2.59713e6i | 0.133435 | − | 0.684100i | ||||
\(157\) | −834351. | + | 481713.i | −0.215600 | + | 0.124477i | −0.603911 | − | 0.797051i | \(-0.706392\pi\) |
0.388311 | + | 0.921528i | \(0.373059\pi\) | |||||||
\(158\) | −1.21209e6 | − | 6.75287e6i | −0.307302 | − | 1.71205i | ||||
\(159\) | −289231. | + | 474046.i | −0.0719537 | + | 0.117931i | ||||
\(160\) | −1.30126e6 | − | 1.05829e6i | −0.317690 | − | 0.258372i | ||||
\(161\) | −178202. | −0.0427007 | ||||||||
\(162\) | 4.23771e6 | − | 342516.i | 0.996750 | − | 0.0805631i | ||||
\(163\) | −3.65145e6 | −0.843145 | −0.421572 | − | 0.906795i | \(-0.638522\pi\) | ||||
−0.421572 | + | 0.906795i | \(0.638522\pi\) | |||||||
\(164\) | −917592. | + | 340369.i | −0.208026 | + | 0.0771647i | ||||
\(165\) | −77463.5 | + | 126962.i | −0.0172443 | + | 0.0282632i | ||||
\(166\) | −4.80471e6 | + | 862412.i | −1.05037 | + | 0.188534i | ||||
\(167\) | 1.73636e6 | − | 1.00249e6i | 0.372813 | − | 0.215244i | −0.301873 | − | 0.953348i | \(-0.597612\pi\) |
0.674687 | + | 0.738104i | \(0.264279\pi\) | |||||||
\(168\) | 323612. | + | 193380.i | 0.0682491 | + | 0.0407835i | ||||
\(169\) | −1.24098e6 | + | 2.14944e6i | −0.257101 | + | 0.445312i | ||||
\(170\) | −838085. | − | 302128.i | −0.170585 | − | 0.0614957i | ||||
\(171\) | −2.01696e6 | − | 3.92078e6i | −0.403375 | − | 0.784124i | ||||
\(172\) | −556567. | − | 461224.i | −0.109379 | − | 0.0906413i | ||||
\(173\) | −3.03835e6 | − | 1.75419e6i | −0.586812 | − | 0.338796i | 0.177024 | − | 0.984207i | \(-0.443353\pi\) |
−0.763836 | + | 0.645411i | \(0.776686\pi\) | |||||||
\(174\) | 2.06408e6 | − | 5.31796e6i | 0.391812 | − | 1.00948i | ||||
\(175\) | −307139. | + | 177327.i | −0.0573087 | + | 0.0330872i | ||||
\(176\) | −334162. | + | 287459.i | −0.0612942 | + | 0.0527276i | ||||
\(177\) | 38976.7 | − | 1.60778e6i | 0.00702887 | − | 0.289939i | ||||
\(178\) | −2.73169e6 | − | 3.23529e6i | −0.484364 | − | 0.573658i | ||||
\(179\) | 2.61325e6 | 0.455640 | 0.227820 | − | 0.973703i | \(-0.426840\pi\) | ||||
0.227820 | + | 0.973703i | \(0.426840\pi\) | |||||||
\(180\) | 1.61113e6 | − | 1.76282e6i | 0.276257 | − | 0.302267i | ||||
\(181\) | 2.03892e6i | 0.343846i | 0.985110 | + | 0.171923i | \(0.0549980\pi\) | ||||
−0.985110 | + | 0.171923i | \(0.945002\pi\) | |||||||
\(182\) | 215523. | + | 255255.i | 0.0357503 | + | 0.0423410i | ||||
\(183\) | −782689. | − | 1.43488e6i | −0.127713 | − | 0.234133i | ||||
\(184\) | −1.64611e6 | + | 2.91275e6i | −0.264244 | + | 0.467573i | ||||
\(185\) | −756558. | − | 1.31040e6i | −0.119489 | − | 0.206960i | ||||
\(186\) | 4.91481e6 | + | 6.11560e6i | 0.763779 | + | 0.950387i | ||||
\(187\) | −117062. | + | 202758.i | −0.0179016 | + | 0.0310066i | ||||
\(188\) | −2.34575e6 | + | 2.83066e6i | −0.353028 | + | 0.426005i | ||||
\(189\) | −301446. | + | 444128.i | −0.0446503 | + | 0.0657844i | ||||
\(190\) | −2.32992e6 | − | 839934.i | −0.339688 | − | 0.122457i | ||||
\(191\) | −5.62669e6 | − | 3.24857e6i | −0.807519 | − | 0.466221i | 0.0385744 | − | 0.999256i | \(-0.487718\pi\) |
−0.846094 | + | 0.533034i | \(0.821052\pi\) | |||||||
\(192\) | 6.15014e6 | − | 3.50319e6i | 0.868923 | − | 0.494948i | ||||
\(193\) | 4.84131e6 | + | 8.38539e6i | 0.673427 | + | 1.16641i | 0.976926 | + | 0.213579i | \(0.0685119\pi\) |
−0.303499 | + | 0.952832i | \(0.598155\pi\) | |||||||
\(194\) | 3.05717e6 | − | 548741.i | 0.418711 | − | 0.0751557i | ||||
\(195\) | 1.85787e6 | − | 1.01342e6i | 0.250560 | − | 0.136674i | ||||
\(196\) | 7.01488e6 | − | 2.60208e6i | 0.931649 | − | 0.345583i | ||||
\(197\) | − | 6.14321e6i | − | 0.803520i | −0.915745 | − | 0.401760i | \(-0.868399\pi\) | ||
0.915745 | − | 0.401760i | \(-0.131601\pi\) | |||||||
\(198\) | −381182. | − | 498594.i | −0.0491062 | − | 0.0642320i | ||||
\(199\) | 4.39185e6i | 0.557299i | 0.960393 | + | 0.278649i | \(0.0898867\pi\) | ||||
−0.960393 | + | 0.278649i | \(0.910113\pi\) | |||||||
\(200\) | 61304.2 | + | 6.65825e6i | 0.00766302 | + | 0.832282i | ||||
\(201\) | 216429. | − | 8.92763e6i | 0.0266519 | − | 1.09938i | ||||
\(202\) | 2.60191e6 | + | 1.44959e7i | 0.315673 | + | 1.75869i | ||||
\(203\) | 360103. | + | 623717.i | 0.0430466 | + | 0.0745589i | ||||
\(204\) | 2.46822e6 | − | 2.83566e6i | 0.290733 | − | 0.334013i | ||||
\(205\) | −677874. | − | 391371.i | −0.0786842 | − | 0.0454283i | ||||
\(206\) | −9.70517e6 | − | 3.49870e6i | −1.11020 | − | 0.400226i | ||||
\(207\) | −4.00523e6 | − | 2.57897e6i | −0.451561 | − | 0.290760i | ||||
\(208\) | 6.16305e6 | − | 1.16489e6i | 0.684866 | − | 0.129448i | ||||
\(209\) | −325440. | + | 563679.i | −0.0356478 | + | 0.0617437i | ||||
\(210\) | 46059.9 | + | 297972.i | 0.00497354 | + | 0.0321750i | ||||
\(211\) | 4.16299e6 | + | 7.21051e6i | 0.443158 | + | 0.767571i | 0.997922 | − | 0.0644361i | \(-0.0205249\pi\) |
−0.554764 | + | 0.832008i | \(0.687192\pi\) | |||||||
\(212\) | −1.29768e6 | − | 220612.i | −0.136195 | − | 0.0231538i | ||||
\(213\) | −6.97113e6 | + | 1.14256e7i | −0.721380 | + | 1.18233i | ||||
\(214\) | −9.93088e6 | − | 1.17617e7i | −1.01332 | − | 1.20013i | ||||
\(215\) | − | 578117.i | − | 0.0581701i | ||||||
\(216\) | 4.47481e6 | + | 9.02973e6i | 0.444031 | + | 0.896012i | ||||
\(217\) | −990549. | −0.0969387 | ||||||||
\(218\) | −1.14454e7 | + | 9.66381e6i | −1.10474 | + | 0.932779i | ||||
\(219\) | −1.26443e7 | − | 7.71472e6i | −1.20383 | − | 0.734493i | ||||
\(220\) | −347553. | − | 59085.7i | −0.0326402 | − | 0.00554899i | ||||
\(221\) | 2.88512e6 | − | 1.66572e6i | 0.267292 | − | 0.154321i | ||||
\(222\) | 6.31020e6 | − | 975418.i | 0.576746 | − | 0.0891522i | ||||
\(223\) | 1.16147e7 | + | 6.70575e6i | 1.04735 | + | 0.604690i | 0.921907 | − | 0.387410i | \(-0.126630\pi\) |
0.125447 | + | 0.992100i | \(0.459964\pi\) | |||||||
\(224\) | −141651. | + | 882305.i | −0.0126030 | + | 0.0785009i | ||||
\(225\) | −9.46947e6 | − | 459399.i | −0.831339 | − | 0.0403313i | ||||
\(226\) | 3.33113e6 | − | 9.24035e6i | 0.288580 | − | 0.800503i | ||||
\(227\) | −3.18020e6 | + | 5.50828e6i | −0.271880 | + | 0.470910i | −0.969343 | − | 0.245710i | \(-0.920979\pi\) |
0.697463 | + | 0.716621i | \(0.254312\pi\) | |||||||
\(228\) | 6.86179e6 | − | 7.88329e6i | 0.578939 | − | 0.665125i | ||||
\(229\) | −8.75997e6 | + | 5.05757e6i | −0.729451 | + | 0.421149i | −0.818221 | − | 0.574903i | \(-0.805040\pi\) |
0.0887701 | + | 0.996052i | \(0.471706\pi\) | |||||||
\(230\) | −2.63377e6 | + | 472743.i | −0.216468 | + | 0.0388545i | ||||
\(231\) | 79214.4 | + | 1920.36i | 0.00642641 | + | 0.000155793i | ||||
\(232\) | 1.35212e7 | − | 124493.i | 1.08280 | − | 0.00996964i | ||||
\(233\) | −7.82001e6 | −0.618215 | −0.309107 | − | 0.951027i | \(-0.600030\pi\) | ||||
−0.309107 | + | 0.951027i | \(0.600030\pi\) | |||||||
\(234\) | 1.14996e6 | + | 8.85614e6i | 0.0897500 | + | 0.691189i | ||||
\(235\) | −2.94026e6 | −0.226560 | ||||||||
\(236\) | 3.57418e6 | − | 1.32580e6i | 0.271920 | − | 0.100865i | ||||
\(237\) | 1.10882e7 | + | 2.03277e7i | 0.832944 | + | 1.52701i | ||||
\(238\) | 83853.6 | + | 467169.i | 0.00622001 | + | 0.0346532i | ||||
\(239\) | −1.65601e7 | + | 9.56101e6i | −1.21303 | + | 0.700341i | −0.963417 | − | 0.268005i | \(-0.913636\pi\) |
−0.249610 | + | 0.968347i | \(0.580302\pi\) | |||||||
\(240\) | 5.29588e6 | + | 1.99960e6i | 0.383093 | + | 0.144647i | ||||
\(241\) | −6.68974e6 | + | 1.15870e7i | −0.477923 | + | 0.827787i | −0.999680 | − | 0.0253074i | \(-0.991944\pi\) |
0.521757 | + | 0.853094i | \(0.325277\pi\) | |||||||
\(242\) | 4.77496e6 | − | 1.32454e7i | 0.336918 | − | 0.934588i | ||||
\(243\) | −1.32027e7 | + | 5.61956e6i | −0.920120 | + | 0.391637i | ||||
\(244\) | 2.47209e6 | − | 2.98311e6i | 0.170174 | − | 0.205353i | ||||
\(245\) | 5.18226e6 | + | 2.99198e6i | 0.352388 | + | 0.203451i | ||||
\(246\) | 2.57467e6 | − | 2.06913e6i | 0.172948 | − | 0.138990i | ||||
\(247\) | 8.02078e6 | − | 4.63080e6i | 0.532262 | − | 0.307302i | ||||
\(248\) | −9.15000e6 | + | 1.61907e7i | −0.599882 | + | 1.06148i | ||||
\(249\) | 1.44633e7 | − | 7.88932e6i | 0.936846 | − | 0.511024i | ||||
\(250\) | −8.95772e6 | + | 7.56339e6i | −0.573294 | + | 0.484057i | ||||
\(251\) | −2.76521e6 | −0.174866 | −0.0874332 | − | 0.996170i | \(-0.527866\pi\) | ||||
−0.0874332 | + | 0.996170i | \(0.527866\pi\) | |||||||
\(252\) | −1.24253e6 | − | 273775.i | −0.0776438 | − | 0.0171077i | ||||
\(253\) | 703220.i | 0.0434240i | ||||||||
\(254\) | 5.50385e6 | − | 4.64713e6i | 0.335865 | − | 0.283586i | ||||
\(255\) | 3.00584e6 | + | 72869.3i | 0.181278 | + | 0.00439465i | ||||
\(256\) | 1.31130e7 | + | 1.04654e7i | 0.781594 | + | 0.623788i | ||||
\(257\) | 2.51848e6 | + | 4.36214e6i | 0.148368 | + | 0.256981i | 0.930624 | − | 0.365976i | \(-0.119265\pi\) |
−0.782257 | + | 0.622956i | \(0.785931\pi\) | |||||||
\(258\) | 2.27428e6 | + | 882723.i | 0.132429 | + | 0.0514002i | ||||
\(259\) | −403072. | + | 698141.i | −0.0231997 | + | 0.0401831i | ||||
\(260\) | 3.86251e6 | + | 3.20083e6i | 0.219760 | + | 0.182114i | ||||
\(261\) | −932918. | + | 1.92300e7i | −0.0524713 | + | 1.08158i | ||||
\(262\) | 4.60231e6 | − | 1.27665e7i | 0.255901 | − | 0.709853i | ||||
\(263\) | −1.79202e7 | − | 1.03462e7i | −0.985088 | − | 0.568741i | −0.0812854 | − | 0.996691i | \(-0.525903\pi\) |
−0.903802 | + | 0.427950i | \(0.859236\pi\) | |||||||
\(264\) | 763116. | − | 1.27703e6i | 0.0414742 | − | 0.0694050i | ||||
\(265\) | −526381. | − | 911718.i | −0.0282854 | − | 0.0489917i | ||||
\(266\) | 233118. | + | 1.29876e6i | 0.0123860 | + | 0.0690053i | ||||
\(267\) | 1.21993e7 | + | 7.44321e6i | 0.640918 | + | 0.391045i | ||||
\(268\) | 1.98466e7 | − | 7.36184e6i | 1.03106 | − | 0.382457i | ||||
\(269\) | − | 5.31299e6i | − | 0.272950i | −0.990644 | − | 0.136475i | \(-0.956423\pi\) | ||
0.990644 | − | 0.136475i | \(-0.0435773\pi\) | |||||||
\(270\) | −3.27706e6 | + | 7.36375e6i | −0.166492 | + | 0.374117i | ||||
\(271\) | − | 1.79029e7i | − | 0.899529i | −0.893147 | − | 0.449764i | \(-0.851508\pi\) | ||
0.893147 | − | 0.449764i | \(-0.148492\pi\) | |||||||
\(272\) | 8.41054e6 | + | 2.94478e6i | 0.417943 | + | 0.146334i | ||||
\(273\) | −962494. | − | 587249.i | −0.0473053 | − | 0.0288625i | ||||
\(274\) | −2.09049e7 | + | 3.75228e6i | −1.01624 | + | 0.182408i | ||||
\(275\) | 699764. | + | 1.21203e6i | 0.0336476 | + | 0.0582793i | ||||
\(276\) | 2.16174e6 | − | 1.10829e7i | 0.102819 | − | 0.527141i | ||||
\(277\) | 3.34053e6 | + | 1.92865e6i | 0.157172 | + | 0.0907434i | 0.576523 | − | 0.817081i | \(-0.304409\pi\) |
−0.419351 | + | 0.907824i | \(0.637742\pi\) | |||||||
\(278\) | 9.37463e6 | − | 2.60046e7i | 0.436335 | − | 1.21036i | ||||
\(279\) | −2.22634e7 | − | 1.43354e7i | −1.02513 | − | 0.660079i | ||||
\(280\) | −615626. | + | 363030.i | −0.0280442 | + | 0.0165374i | ||||
\(281\) | 1.86528e7 | − | 3.23077e7i | 0.840671 | − | 1.45609i | −0.0486571 | − | 0.998816i | \(-0.515494\pi\) |
0.889328 | − | 0.457269i | \(-0.151173\pi\) | |||||||
\(282\) | 4.48947e6 | − | 1.15668e7i | 0.200192 | − | 0.515783i | ||||
\(283\) | −3.74483e6 | − | 6.48624e6i | −0.165224 | − | 0.286176i | 0.771511 | − | 0.636216i | \(-0.219501\pi\) |
−0.936735 | + | 0.350040i | \(0.886168\pi\) | |||||||
\(284\) | −3.12771e7 | − | 5.31726e6i | −1.36544 | − | 0.232131i | ||||
\(285\) | 8.35640e6 | + | 202581.i | 0.360981 | + | 0.00875112i | ||||
\(286\) | 1.00729e6 | − | 850495.i | 0.0430581 | − | 0.0363558i | ||||
\(287\) | 417022.i | 0.0176406i | ||||||||
\(288\) | −1.59526e7 | + | 1.77805e7i | −0.667810 | + | 0.744332i | ||||
\(289\) | −1.94044e7 | −0.803910 | ||||||||
\(290\) | 6.97682e6 | + | 8.26302e6i | 0.286064 | + | 0.338801i | ||||
\(291\) | −9.20276e6 | + | 5.01986e6i | −0.373456 | + | 0.203710i | ||||
\(292\) | 5.88444e6 | − | 3.46134e7i | 0.236351 | − | 1.39026i | ||||
\(293\) | 3.64819e7 | − | 2.10628e7i | 1.45035 | − | 0.837362i | 0.451853 | − | 0.892092i | \(-0.350763\pi\) |
0.998501 | + | 0.0547300i | \(0.0174298\pi\) | |||||||
\(294\) | −1.96830e7 | + | 1.58183e7i | −0.774552 | + | 0.622469i | ||||
\(295\) | 2.64044e6 | + | 1.52446e6i | 0.102851 | + | 0.0593812i | ||||
\(296\) | 7.68794e6 | + | 1.30372e7i | 0.296439 | + | 0.502701i | ||||
\(297\) | 1.75261e6 | + | 1.18956e6i | 0.0668986 | + | 0.0454065i | ||||
\(298\) | −4.09224e7 | − | 1.47525e7i | −1.54636 | − | 0.557462i | ||||
\(299\) | 5.00318e6 | − | 8.66576e6i | 0.187168 | − | 0.324185i | ||||
\(300\) | −7.30261e6 | − | 2.12529e7i | −0.270467 | − | 0.787146i | ||||
\(301\) | −266739. | + | 154002.i | −0.00978108 | + | 0.00564711i | ||||
\(302\) | −7.18212e6 | − | 4.00134e7i | −0.260755 | − | 1.45273i | ||||
\(303\) | −2.38022e7 | − | 4.36358e7i | −0.855635 | − | 1.56861i | ||||
\(304\) | 2.33818e7 | + | 8.18664e6i | 0.832256 | + | 0.291397i | ||||
\(305\) | 3.09861e6 | 0.109211 | ||||||||
\(306\) | −4.87626e6 | + | 1.17135e7i | −0.170185 | + | 0.408812i | ||||
\(307\) | −740303. | −0.0255855 | −0.0127928 | − | 0.999918i | \(-0.504072\pi\) | ||||
−0.0127928 | + | 0.999918i | \(0.504072\pi\) | |||||||
\(308\) | 65321.2 | + | 176098.i | 0.00223564 | + | 0.00602701i | ||||
\(309\) | 3.48081e7 | + | 843840.i | 1.17979 | + | 0.0286012i | ||||
\(310\) | −1.46400e7 | + | 2.62777e6i | −0.491423 | + | 0.0882070i | ||||
\(311\) | −2.67721e7 | + | 1.54569e7i | −0.890022 | + | 0.513855i | −0.873950 | − | 0.486016i | \(-0.838450\pi\) |
−0.0160725 | + | 0.999871i | \(0.505116\pi\) | |||||||
\(312\) | −1.84895e7 | + | 1.03075e7i | −0.608783 | + | 0.339384i | ||||
\(313\) | 2.36689e7 | − | 4.09958e7i | 0.771873 | − | 1.33692i | −0.164662 | − | 0.986350i | \(-0.552653\pi\) |
0.936535 | − | 0.350574i | \(-0.114013\pi\) | |||||||
\(314\) | 7.25064e6 | + | 2.61385e6i | 0.234200 | + | 0.0844289i | ||||
\(315\) | −465499. | − | 904887.i | −0.0148932 | − | 0.0289510i | ||||
\(316\) | −3.50215e7 | + | 4.22611e7i | −1.10987 | + | 1.33931i | ||||
\(317\) | 4.34011e7 | + | 2.50576e7i | 1.36246 | + | 0.786615i | 0.989950 | − | 0.141415i | \(-0.0451652\pi\) |
0.372506 | + | 0.928030i | \(0.378499\pi\) | |||||||
\(318\) | 4.39037e6 | − | 678654.i | 0.136527 | − | 0.0211041i | ||||
\(319\) | 2.46131e6 | − | 1.42104e6i | 0.0758217 | − | 0.0437757i | ||||
\(320\) | 247069. | + | 1.34159e7i | 0.00753993 | + | 0.409422i | ||||
\(321\) | 4.43498e7 | + | 2.70593e7i | 1.34084 | + | 0.818090i | ||||
\(322\) | 919717. | + | 1.08927e6i | 0.0275478 | + | 0.0326263i | ||||
\(323\) | 1.31584e7 | 0.390477 | ||||||||
\(324\) | −2.39648e7 | − | 2.41354e7i | −0.704594 | − | 0.709610i | ||||
\(325\) | − | 1.99144e7i | − | 0.580118i | ||||||
\(326\) | 1.88454e7 | + | 2.23196e7i | 0.543943 | + | 0.644220i | ||||
\(327\) | 2.63316e7 | − | 4.31571e7i | 0.753067 | − | 1.23427i | ||||
\(328\) | 6.81629e6 | + | 3.85215e6i | 0.193164 | + | 0.109165i | ||||
\(329\) | 783243. | + | 1.35662e6i | 0.0219942 | + | 0.0380951i | ||||
\(330\) | 1.17586e6 | − | 181761.i | 0.0327199 | − | 0.00505777i | ||||
\(331\) | 2.86447e7 | − | 4.96141e7i | 0.789879 | − | 1.36811i | −0.136162 | − | 0.990687i | \(-0.543477\pi\) |
0.926041 | − | 0.377423i | \(-0.123190\pi\) | |||||||
\(332\) | 3.00691e7 | + | 2.49180e7i | 0.821685 | + | 0.680925i | ||||
\(333\) | −1.91629e7 | + | 9.85795e6i | −0.518955 | + | 0.266965i | ||||
\(334\) | −1.50893e7 | − | 5.43967e6i | −0.404976 | − | 0.145993i | ||||
\(335\) | 1.46617e7 | + | 8.46496e6i | 0.389988 | + | 0.225160i | ||||
\(336\) | −488143. | − | 2.97615e6i | −0.0128685 | − | 0.0784578i | ||||
\(337\) | 1.28377e7 | + | 2.22356e7i | 0.335427 | + | 0.580977i | 0.983567 | − | 0.180545i | \(-0.0577860\pi\) |
−0.648140 | + | 0.761522i | \(0.724453\pi\) | |||||||
\(338\) | 1.95433e7 | − | 3.50789e6i | 0.506114 | − | 0.0908440i | ||||
\(339\) | −803424. | + | 3.31410e7i | −0.0206227 | + | 0.850681i | ||||
\(340\) | 2.47865e6 | + | 6.68214e6i | 0.0630637 | + | 0.170012i | ||||
\(341\) | 3.90890e6i | 0.0985805i | ||||||||
\(342\) | −1.35563e7 | + | 3.25643e7i | −0.338892 | + | 0.814072i | ||||
\(343\) | − | 6.39644e6i | − | 0.158510i | ||||||
\(344\) | 53240.5 | + | 5.78246e6i | 0.00130788 | + | 0.142049i | ||||
\(345\) | 7.92823e6 | − | 4.32463e6i | 0.193072 | − | 0.105315i | ||||
\(346\) | 4.95860e6 | + | 2.76255e7i | 0.119710 | + | 0.666934i | ||||
\(347\) | 3.39136e7 | + | 5.87400e7i | 0.811680 | + | 1.40587i | 0.911687 | + | 0.410885i | \(0.134780\pi\) |
−0.100007 | + | 0.994987i | \(0.531887\pi\) | |||||||
\(348\) | −4.31591e7 | + | 1.48297e7i | −1.02408 | + | 0.351879i | ||||
\(349\) | −6.38737e7 | − | 3.68775e7i | −1.50261 | − | 0.867531i | −0.999995 | − | 0.00301935i | \(-0.999039\pi\) |
−0.502613 | − | 0.864512i | \(-0.667628\pi\) | |||||||
\(350\) | 2.66908e6 | + | 962201.i | 0.0622527 | + | 0.0224420i | ||||
\(351\) | −1.31341e7 | − | 2.71282e7i | −0.303723 | − | 0.627336i | ||||
\(352\) | 3.48174e6 | + | 558981.i | 0.0798305 | + | 0.0128165i | ||||
\(353\) | −1.72181e7 | + | 2.98227e7i | −0.391437 | + | 0.677989i | −0.992639 | − | 0.121108i | \(-0.961355\pi\) |
0.601202 | + | 0.799097i | \(0.294689\pi\) | |||||||
\(354\) | −1.00288e7 | + | 8.05964e6i | −0.226068 | + | 0.181679i | ||||
\(355\) | −1.26870e7 | − | 2.19745e7i | −0.283578 | − | 0.491172i | ||||
\(356\) | −5.67734e6 | + | 3.33952e7i | −0.125833 | + | 0.740174i | ||||
\(357\) | −767090. | − | 1.40628e6i | −0.0168594 | − | 0.0309078i | ||||
\(358\) | −1.34872e7 | − | 1.59736e7i | −0.293949 | − | 0.348140i | ||||
\(359\) | 8.17069e7i | 1.76594i | 0.469431 | + | 0.882969i | \(0.344459\pi\) | ||||
−0.469431 | + | 0.882969i | \(0.655541\pi\) | |||||||
\(360\) | −1.90905e7 | − | 750045.i | −0.409176 | − | 0.0160761i | ||||
\(361\) | −1.04648e7 | −0.222438 | ||||||||
\(362\) | 1.24630e7 | − | 1.05230e7i | 0.262722 | − | 0.221827i | ||||
\(363\) | −1.15166e6 | + | 4.75055e7i | −0.0240770 | + | 0.993171i | ||||
\(364\) | 447927. | − | 2.63479e6i | 0.00928759 | − | 0.0546313i | ||||
\(365\) | 2.43185e7 | − | 1.40403e7i | 0.500101 | − | 0.288733i | ||||
\(366\) | −4.73125e6 | + | 1.21898e7i | −0.0965012 | + | 0.248629i | ||||
\(367\) | 6.48163e7 | + | 3.74217e7i | 1.31125 | + | 0.757052i | 0.982304 | − | 0.187296i | \(-0.0599724\pi\) |
0.328949 | + | 0.944348i | \(0.393306\pi\) | |||||||
\(368\) | 2.63000e7 | − | 4.97103e6i | 0.527730 | − | 0.0997478i | ||||
\(369\) | −6.03519e6 | + | 9.37289e6i | −0.120119 | + | 0.186550i | ||||
\(370\) | −4.10520e6 | + | 1.13876e7i | −0.0810455 | + | 0.224815i | ||||
\(371\) | −280440. | + | 485737.i | −0.00549185 | + | 0.00951216i | ||||
\(372\) | 1.20162e7 | − | 6.16051e7i | 0.233419 | − | 1.19671i | ||||
\(373\) | −6.03434e7 | + | 3.48393e7i | −1.16280 | + | 0.671340i | −0.951972 | − | 0.306184i | \(-0.900948\pi\) |
−0.210823 | + | 0.977524i | \(0.567614\pi\) | |||||||
\(374\) | 1.84354e6 | − | 330902.i | 0.0352401 | − | 0.00632536i | ||||
\(375\) | 2.06084e7 | − | 3.37770e7i | 0.390797 | − | 0.640511i | ||||
\(376\) | 2.94092e7 | − | 270778.i | 0.553248 | − | 0.00509389i | ||||
\(377\) | −4.04408e7 | −0.754737 | ||||||||
\(378\) | 4.27054e6 | − | 449580.i | 0.0790692 | − | 0.00832399i | ||||
\(379\) | −1.97780e7 | −0.363300 | −0.181650 | − | 0.983363i | \(-0.558144\pi\) | ||||
−0.181650 | + | 0.983363i | \(0.558144\pi\) | |||||||
\(380\) | 6.89080e6 | + | 1.85767e7i | 0.125579 | + | 0.338547i | ||||
\(381\) | −1.26623e7 | + | 2.07534e7i | −0.228949 | + | 0.375245i | ||||
\(382\) | 9.18279e6 | + | 5.11595e7i | 0.164734 | + | 0.917776i | ||||
\(383\) | −2.35922e7 | + | 1.36209e7i | −0.419925 | + | 0.242444i | −0.695045 | − | 0.718966i | \(-0.744616\pi\) |
0.275120 | + | 0.961410i | \(0.411282\pi\) | |||||||
\(384\) | −5.31548e7 | − | 1.95128e7i | −0.938747 | − | 0.344608i | ||||
\(385\) | −75109.1 | + | 130093.i | −0.00131617 | + | 0.00227967i | ||||
\(386\) | 2.62697e7 | − | 7.28704e7i | 0.456765 | − | 1.26704i | ||||
\(387\) | −8.22390e6 | − | 398972.i | −0.141888 | − | 0.00688350i | ||||
\(388\) | −1.91325e7 | − | 1.58550e7i | −0.327549 | − | 0.271438i | ||||
\(389\) | −4.06878e7 | − | 2.34911e7i | −0.691219 | − | 0.399076i | 0.112849 | − | 0.993612i | \(-0.464002\pi\) |
−0.804069 | + | 0.594537i | \(0.797336\pi\) | |||||||
\(390\) | −1.57832e7 | − | 6.12599e6i | −0.266073 | − | 0.103272i | ||||
\(391\) | 1.23119e7 | − | 7.10825e6i | 0.205965 | − | 0.118914i | ||||
\(392\) | −5.21097e7 | − | 2.94492e7i | −0.865089 | − | 0.488895i | ||||
\(393\) | −1.11002e6 | + | 4.57878e7i | −0.0182874 | + | 0.754349i | ||||
\(394\) | −3.75506e7 | + | 3.17056e7i | −0.613944 | + | 0.518379i | ||||
\(395\) | −4.38974e7 | −0.712275 | ||||||||
\(396\) | −1.08037e6 | + | 4.90328e6i | −0.0173975 | + | 0.0789588i | ||||
\(397\) | − | 4.66988e7i | − | 0.746336i | −0.927764 | − | 0.373168i | \(-0.878272\pi\) | ||
0.927764 | − | 0.373168i | \(-0.121728\pi\) | |||||||
\(398\) | 2.68454e7 | − | 2.26667e7i | 0.425814 | − | 0.359533i | ||||
\(399\) | −2.13255e6 | − | 3.90955e6i | −0.0335723 | − | 0.0615471i | ||||
\(400\) | 4.03825e7 | − | 3.47385e7i | 0.630976 | − | 0.542790i | ||||
\(401\) | −1.66818e7 | − | 2.88937e7i | −0.258708 | − | 0.448095i | 0.707188 | − | 0.707025i | \(-0.249963\pi\) |
−0.965896 | + | 0.258931i | \(0.916630\pi\) | |||||||
\(402\) | −5.56876e7 | + | 4.47533e7i | −0.857196 | + | 0.688886i | ||||
\(403\) | 2.78105e7 | − | 4.81692e7i | 0.424907 | − | 0.735960i | ||||
\(404\) | 7.51780e7 | − | 9.07187e7i | 1.14011 | − | 1.37579i | ||||
\(405\) | 2.63320e6 | − | 2.70748e7i | 0.0396386 | − | 0.407568i | ||||
\(406\) | 1.95398e6 | − | 5.42021e6i | 0.0291972 | − | 0.0809912i | ||||
\(407\) | 2.75499e6 | + | 1.59060e6i | 0.0408637 | + | 0.0235927i | ||||
\(408\) | −3.00718e7 | − | 452039.i | −0.442771 | − | 0.00665573i | ||||
\(409\) | −1.48558e7 | − | 2.57311e7i | −0.217134 | − | 0.376087i | 0.736797 | − | 0.676114i | \(-0.236337\pi\) |
−0.953931 | + | 0.300028i | \(0.903004\pi\) | |||||||
\(410\) | 1.10629e6 | + | 6.16343e6i | 0.0160516 | + | 0.0894275i | ||||
\(411\) | 6.29284e7 | − | 3.43257e7i | 0.906403 | − | 0.494418i | ||||
\(412\) | 2.87033e7 | + | 7.73804e7i | 0.410430 | + | 1.10647i | ||||
\(413\) | − | 1.62437e6i | − | 0.0230587i | ||||||
\(414\) | 4.90730e6 | + | 3.77924e7i | 0.0691578 | + | 0.532603i | ||||
\(415\) | 3.12333e7i | 0.436992i | ||||||||
\(416\) | −3.89285e7 | − | 3.16598e7i | −0.540739 | − | 0.439772i | ||||
\(417\) | −2.26104e6 | + | 9.32671e7i | −0.0311817 | + | 1.28623i | ||||
\(418\) | 5.12514e6 | − | 919927.i | 0.0701741 | − | 0.0125958i | ||||
\(419\) | −548013. | − | 949186.i | −0.00744987 | − | 0.0129036i | 0.862276 | − | 0.506438i | \(-0.169038\pi\) |
−0.869726 | + | 0.493534i | \(0.835705\pi\) | |||||||
\(420\) | 1.58365e6 | − | 1.81940e6i | 0.0213753 | − | 0.0245573i | ||||
\(421\) | −1.25274e8 | − | 7.23271e7i | −1.67886 | − | 0.969292i | −0.962388 | − | 0.271680i | \(-0.912421\pi\) |
−0.716476 | − | 0.697612i | \(-0.754246\pi\) | |||||||
\(422\) | 2.25890e7 | − | 6.26605e7i | 0.300580 | − | 0.833790i | ||||
\(423\) | −2.02914e6 | + | 4.18262e7i | −0.0268097 | + | 0.552621i | ||||
\(424\) | 5.34894e6 | + | 9.07074e6i | 0.0701730 | + | 0.118999i | ||||
\(425\) | 1.41466e7 | − | 2.45027e7i | 0.184284 | − | 0.319189i | ||||
\(426\) | 1.05818e8 | − | 1.63571e7i | 1.36877 | − | 0.211582i | ||||
\(427\) | −825425. | − | 1.42968e6i | −0.0106022 | − | 0.0183635i | ||||
\(428\) | −2.06396e7 | + | 1.21406e8i | −0.263251 | + | 1.54849i | ||||
\(429\) | −2.31740e6 | + | 3.79818e6i | −0.0293514 | + | 0.0481065i | ||||
\(430\) | −3.53376e6 | + | 2.98371e6i | −0.0444460 | + | 0.0375276i | ||||
\(431\) | 1.24377e8i | 1.55348i | 0.629819 | + | 0.776742i | \(0.283129\pi\) | ||||
−0.629819 | + | 0.776742i | \(0.716871\pi\) | |||||||
\(432\) | 3.20998e7 | − | 7.39557e7i | 0.398154 | − | 0.917319i | ||||
\(433\) | 1.41972e7 | 0.174880 | 0.0874399 | − | 0.996170i | \(-0.472131\pi\) | ||||
0.0874399 | + | 0.996170i | \(0.472131\pi\) | |||||||
\(434\) | 5.11231e6 | + | 6.05478e6i | 0.0625386 | + | 0.0740677i | ||||
\(435\) | −3.11575e7 | − | 1.90102e7i | −0.378525 | − | 0.230950i | ||||
\(436\) | 1.18141e8 | + | 2.00845e7i | 1.42541 | + | 0.242327i | ||||
\(437\) | 3.42276e7 | − | 1.97613e7i | 0.410140 | − | 0.236795i | ||||
\(438\) | 1.81019e7 | + | 1.17105e8i | 0.215428 | + | 1.39365i | ||||
\(439\) | 7.53641e7 | + | 4.35115e7i | 0.890781 | + | 0.514293i | 0.874198 | − | 0.485570i | \(-0.161388\pi\) |
0.0165831 | + | 0.999862i | \(0.494721\pi\) | |||||||
\(440\) | 1.43259e6 | + | 2.42938e6i | 0.0168175 | + | 0.0285192i | ||||
\(441\) | 4.61383e7 | − | 7.16546e7i | 0.537955 | − | 0.835465i | ||||
\(442\) | −2.50721e7 | − | 9.03846e6i | −0.290352 | − | 0.104671i | ||||
\(443\) | 2.45515e7 | − | 4.25245e7i | 0.282402 | − | 0.489134i | −0.689574 | − | 0.724215i | \(-0.742202\pi\) |
0.971976 | + | 0.235081i | \(0.0755355\pi\) | |||||||
\(444\) | −3.85298e7 | − | 3.35372e7i | −0.440198 | − | 0.383158i | ||||
\(445\) | −2.34626e7 | + | 1.35461e7i | −0.266254 | + | 0.153722i | ||||
\(446\) | −1.89553e7 | − | 1.05604e8i | −0.213661 | − | 1.19036i | ||||
\(447\) | 1.46770e8 | + | 3.55809e6i | 1.64330 | + | 0.0398378i | ||||
\(448\) | 6.12420e6 | − | 3.68780e6i | 0.0681107 | − | 0.0410142i | ||||
\(449\) | −1.73856e8 | −1.92067 | −0.960333 | − | 0.278857i | \(-0.910044\pi\) | ||||
−0.960333 | + | 0.278857i | \(0.910044\pi\) | |||||||
\(450\) | 4.60646e7 | + | 6.02536e7i | 0.505511 | + | 0.661219i | ||||
\(451\) | 1.64565e6 | 0.0179394 | ||||||||
\(452\) | −7.36743e7 | + | 2.73285e7i | −0.797812 | + | 0.295938i | ||||
\(453\) | 6.57018e7 | + | 1.20449e8i | 0.706777 | + | 1.29571i | ||||
\(454\) | 5.00829e7 | − | 8.98953e6i | 0.535207 | − | 0.0960660i | ||||
\(455\) | 1.85114e6 | − | 1.06875e6i | 0.0196519 | − | 0.0113460i | ||||
\(456\) | −8.36013e7 | − | 1.25669e6i | −0.881695 | − | 0.0132536i | ||||
\(457\) | −3.37410e7 | + | 5.84411e7i | −0.353516 | + | 0.612307i | −0.986863 | − | 0.161561i | \(-0.948347\pi\) |
0.633347 | + | 0.773868i | \(0.281681\pi\) | |||||||
\(458\) | 7.61256e7 | + | 2.74432e7i | 0.792381 | + | 0.285652i | ||||
\(459\) | 3.11099e6 | − | 4.27088e7i | 0.0321707 | − | 0.441651i | ||||
\(460\) | 1.64827e7 | + | 1.36591e7i | 0.169339 | + | 0.140330i | ||||
\(461\) | −6.67712e7 | − | 3.85503e7i | −0.681532 | − | 0.393483i | 0.118900 | − | 0.992906i | \(-0.462063\pi\) |
−0.800432 | + | 0.599424i | \(0.795397\pi\) | |||||||
\(462\) | −397094. | − | 494113.i | −0.00402687 | − | 0.00501072i | ||||
\(463\) | 722563. | − | 417172.i | 0.00728002 | − | 0.00420312i | −0.496356 | − | 0.868119i | \(-0.665329\pi\) |
0.503636 | + | 0.863916i | \(0.331995\pi\) | |||||||
\(464\) | −7.05448e7 | − | 8.20061e7i | −0.706173 | − | 0.820904i | ||||
\(465\) | 4.40696e7 | − | 2.40388e7i | 0.438309 | − | 0.239086i | ||||
\(466\) | 4.03597e7 | + | 4.78002e7i | 0.398832 | + | 0.472358i | ||||
\(467\) | −1.46029e8 | −1.43380 | −0.716900 | − | 0.697176i | \(-0.754439\pi\) | ||||
−0.716900 | + | 0.697176i | \(0.754439\pi\) | |||||||
\(468\) | 4.81985e7 | − | 5.27365e7i | 0.470215 | − | 0.514486i | ||||
\(469\) | − | 9.01977e6i | − | 0.0874333i | ||||||
\(470\) | 1.51749e7 | + | 1.79725e7i | 0.146162 | + | 0.173107i | ||||
\(471\) | −2.60048e7 | − | 630425.i | −0.248881 | − | 0.00603352i | ||||
\(472\) | −2.65506e7 | − | 1.50048e7i | −0.252493 | − | 0.142693i | ||||
\(473\) | 607720. | + | 1.05260e6i | 0.00574276 | + | 0.00994674i | ||||
\(474\) | 6.70267e7 | − | 1.72690e8i | 0.629379 | − | 1.62156i | ||||
\(475\) | 3.93285e7 | − | 6.81189e7i | 0.366966 | − | 0.635604i | ||||
\(476\) | 2.42282e6 | − | 2.92366e6i | 0.0224646 | − | 0.0271085i | ||||
\(477\) | −1.33328e7 | + | 6.85874e6i | −0.122847 | + | 0.0631959i | ||||
\(478\) | 1.43910e8 | + | 5.18795e7i | 1.31768 | + | 0.475020i | ||||
\(479\) | −7.65807e7 | − | 4.42139e7i | −0.696807 | − | 0.402302i | 0.109350 | − | 0.994003i | \(-0.465123\pi\) |
−0.806157 | + | 0.591701i | \(0.798456\pi\) | |||||||
\(480\) | −1.51098e7 | − | 4.26914e7i | −0.136627 | − | 0.386026i | ||||
\(481\) | −2.26332e7 | − | 3.92018e7i | −0.203381 | − | 0.352266i | ||||
\(482\) | 1.05352e8 | − | 1.89100e7i | 0.940811 | − | 0.168869i | ||||
\(483\) | −4.10732e6 | − | 2.50601e6i | −0.0364516 | − | 0.0222403i | ||||
\(484\) | −1.05607e8 | + | 3.91737e7i | −0.931447 | + | 0.345508i | ||||
\(485\) | − | 1.98733e7i | − | 0.174199i | ||||||
\(486\) | 1.02490e8 | + | 5.16992e7i | 0.892839 | + | 0.450376i | ||||
\(487\) | 4.08614e7i | 0.353774i | 0.984231 | + | 0.176887i | \(0.0566027\pi\) | ||||
−0.984231 | + | 0.176887i | \(0.943397\pi\) | |||||||
\(488\) | −3.09930e7 | + | 285361.i | −0.266689 | + | 0.00245547i | ||||
\(489\) | −8.41609e7 | − | 5.13493e7i | −0.719753 | − | 0.439145i | ||||
\(490\) | −8.45748e6 | − | 4.71187e7i | −0.0718874 | − | 0.400502i | ||||
\(491\) | −3.97287e6 | − | 6.88121e6i | −0.0335629 | − | 0.0581327i | 0.848756 | − | 0.528785i | \(-0.177352\pi\) |
−0.882319 | + | 0.470652i | \(0.844019\pi\) | |||||||
\(492\) | −2.59358e7 | − | 5.05881e6i | −0.217773 | − | 0.0424769i | ||||
\(493\) | −4.97585e7 | − | 2.87281e7i | −0.415266 | − | 0.239754i | ||||
\(494\) | −6.97019e7 | − | 2.51274e7i | −0.578181 | − | 0.208433i | ||||
\(495\) | −3.57086e6 | + | 1.83695e6i | −0.0294413 | + | 0.0151454i | ||||
\(496\) | 1.46190e8 | − | 2.76318e7i | 1.19805 | − | 0.226446i | ||||
\(497\) | −6.75925e6 | + | 1.17074e7i | −0.0550591 | + | 0.0953652i | ||||
\(498\) | −1.22870e8 | − | 4.76899e7i | −0.994850 | − | 0.386134i | ||||
\(499\) | −1.20177e7 | − | 2.08152e7i | −0.0967206 | − | 0.167525i | 0.813605 | − | 0.581418i | \(-0.197502\pi\) |
−0.910325 | + | 0.413893i | \(0.864169\pi\) | |||||||
\(500\) | 9.24631e7 | + | 1.57192e7i | 0.739705 | + | 0.125753i | ||||
\(501\) | 5.41186e7 | + | 1.31198e6i | 0.430361 | + | 0.0104331i | ||||
\(502\) | 1.42715e7 | + | 1.69025e7i | 0.112813 | + | 0.133610i | ||||
\(503\) | 1.31836e8i | 1.03593i | 0.855403 | + | 0.517963i | \(0.173309\pi\) | ||||
−0.855403 | + | 0.517963i | \(0.826691\pi\) | |||||||
\(504\) | 4.73936e6 | + | 9.00802e6i | 0.0370193 | + | 0.0703619i | ||||
\(505\) | 9.42312e7 | 0.731679 | ||||||||
\(506\) | 4.29846e6 | − | 3.62938e6i | 0.0331789 | − | 0.0280143i | ||||
\(507\) | −5.88298e7 | + | 3.20901e7i | −0.451412 | + | 0.246233i | ||||
\(508\) | −5.68116e7 | − | 9.65826e6i | −0.433357 | − | 0.0736729i | ||||
\(509\) | 1.51161e8 | − | 8.72728e7i | 1.14627 | − | 0.661798i | 0.198293 | − | 0.980143i | \(-0.436460\pi\) |
0.947975 | + | 0.318345i | \(0.103127\pi\) | |||||||
\(510\) | −1.50680e7 | − | 1.87494e7i | −0.113591 | − | 0.141344i | ||||
\(511\) | −1.29562e7 | − | 7.48024e6i | −0.0970987 | − | 0.0560600i | ||||
\(512\) | −3.70675e6 | − | 1.34167e8i | −0.0276174 | − | 0.999619i | ||||
\(513\) | 8.64872e6 | − | 1.18733e8i | 0.0640619 | − | 0.879464i | ||||
\(514\) | 1.36657e7 | − | 3.79077e7i | 0.100633 | − | 0.279150i | ||||
\(515\) | −3.30042e7 | + | 5.71650e7i | −0.241628 | + | 0.418512i | ||||
\(516\) | −6.34206e6 | − | 1.84574e7i | −0.0461616 | − | 0.134345i | ||||
\(517\) | 5.35347e6 | − | 3.09083e6i | 0.0387403 | − | 0.0223667i | ||||
\(518\) | 6.34770e6 | − | 1.13937e6i | 0.0456696 | − | 0.00819738i | ||||
\(519\) | −4.53610e7 | − | 8.31591e7i | −0.324475 | − | 0.594850i | ||||
\(520\) | −369482. | − | 4.01295e7i | −0.00262775 | − | 0.285400i | ||||
\(521\) | −1.05340e8 | −0.744867 | −0.372434 | − | 0.928059i | \(-0.621477\pi\) | ||||
−0.372434 | + | 0.928059i | \(0.621477\pi\) | |||||||
\(522\) | 1.22359e8 | − | 9.35451e7i | 0.860250 | − | 0.657672i | ||||
\(523\) | 1.71767e8 | 1.20070 | 0.600349 | − | 0.799738i | \(-0.295028\pi\) | ||||
0.600349 | + | 0.799738i | \(0.295028\pi\) | |||||||
\(524\) | −1.01789e8 | + | 3.77572e7i | −0.707467 | + | 0.262426i | ||||
\(525\) | −9.57282e6 | − | 232070.i | −0.0661549 | − | 0.00160377i | ||||
\(526\) | 2.92458e7 | + | 1.62936e8i | 0.200959 | + | 1.11959i | ||||
\(527\) | 6.84363e7 | − | 3.95117e7i | 0.467579 | − | 0.269957i | ||||
\(528\) | −1.17444e7 | + | 1.92631e6i | −0.0797867 | + | 0.0130865i | ||||
\(529\) | −5.26675e7 | + | 9.12229e7i | −0.355775 | + | 0.616221i | ||||
\(530\) | −2.85622e6 | + | 7.92298e6i | −0.0191851 | + | 0.0532183i | ||||
\(531\) | 2.35081e7 | − | 3.65090e7i | 0.157013 | − | 0.243846i | ||||
\(532\) | 6.73556e6 | − | 8.12793e6i | 0.0447341 | − | 0.0539815i | ||||
\(533\) | −2.02793e7 | − | 1.17082e7i | −0.133928 | − | 0.0773232i | ||||
\(534\) | −1.74648e7 | − | 1.12984e8i | −0.114694 | − | 0.741981i | ||||
\(535\) | −8.52967e7 | + | 4.92461e7i | −0.557020 | + | 0.321596i | ||||
\(536\) | −1.47430e8 | − | 8.33182e7i | −0.957394 | − | 0.541060i | ||||
\(537\) | 6.02318e7 | + | 3.67494e7i | 0.388958 | + | 0.237316i | ||||
\(538\) | −3.24759e7 | + | 2.74208e7i | −0.208552 | + | 0.176089i | ||||
\(539\) | −1.25808e7 | −0.0803417 | ||||||||
\(540\) | 6.19244e7 | − | 1.79737e7i | 0.393261 | − | 0.114145i | ||||
\(541\) | 1.80547e8i | 1.14025i | 0.821559 | + | 0.570123i | \(0.193105\pi\) | ||||
−0.821559 | + | 0.570123i | \(0.806895\pi\) | |||||||
\(542\) | −1.09432e8 | + | 9.23983e7i | −0.687301 | + | 0.580318i | ||||
\(543\) | −2.86727e7 | + | 4.69943e7i | −0.179089 | + | 0.293525i | ||||
\(544\) | −2.54074e7 | − | 6.66081e7i | −0.157821 | − | 0.413742i | ||||
\(545\) | 4.79217e7 | + | 8.30028e7i | 0.296035 | + | 0.512747i | ||||
\(546\) | 1.37793e6 | + | 8.91413e6i | 0.00846542 | + | 0.0547648i | ||||
\(547\) | −1.22454e8 | + | 2.12097e8i | −0.748189 | + | 1.29590i | 0.200501 | + | 0.979694i | \(0.435743\pi\) |
−0.948690 | + | 0.316208i | \(0.897590\pi\) | |||||||
\(548\) | 1.30828e8 | + | 1.08416e8i | 0.794985 | + | 0.658798i | ||||
\(549\) | 2.13843e6 | − | 4.40788e7i | 0.0129234 | − | 0.266387i | ||||
\(550\) | 3.79703e6 | − | 1.05327e7i | 0.0228221 | − | 0.0633071i | ||||
\(551\) | −1.38331e8 | − | 7.98657e7i | −0.826925 | − | 0.477425i | ||||
\(552\) | −7.89017e7 | + | 4.39861e7i | −0.469104 | + | 0.261516i | ||||
\(553\) | 1.16936e7 | + | 2.02540e7i | 0.0691471 | + | 0.119766i | ||||
\(554\) | −5.45175e6 | − | 3.03731e7i | −0.0320632 | − | 0.178632i | ||||
\(555\) | 990119. | − | 4.08421e7i | 0.00579173 | − | 0.238907i | ||||
\(556\) | −2.07338e8 | + | 7.69092e7i | −1.20630 | + | 0.447460i | ||||
\(557\) | 1.24690e8i | 0.721551i | 0.932653 | + | 0.360775i | \(0.117488\pi\) | ||||
−0.932653 | + | 0.360775i | \(0.882512\pi\) | |||||||
\(558\) | 2.72776e7 | + | 2.10072e8i | 0.157001 | + | 1.20911i | ||||
\(559\) | − | 1.72949e7i | − | 0.0990109i | ||||||
\(560\) | 5.39634e6 | + | 1.88941e6i | 0.0307280 | + | 0.0107588i | ||||
\(561\) | −5.54946e6 | + | 3.02708e6i | −0.0314313 | + | 0.0171449i | ||||
\(562\) | −2.93751e8 | + | 5.27263e7i | −1.65489 | + | 0.297042i | ||||
\(563\) | 1.43204e8 | + | 2.48037e8i | 0.802472 | + | 1.38992i | 0.917985 | + | 0.396616i | \(0.129816\pi\) |
−0.115513 | + | 0.993306i | \(0.536851\pi\) | |||||||
\(564\) | −9.38733e7 | + | 3.22553e7i | −0.523244 | + | 0.179789i | ||||
\(565\) | −5.44271e7 | − | 3.14235e7i | −0.301766 | − | 0.174224i | ||||
\(566\) | −2.03200e7 | + | 5.63665e7i | −0.112066 | + | 0.310865i | ||||
\(567\) | −1.31936e7 | + | 5.99740e6i | −0.0723791 | + | 0.0329013i | ||||
\(568\) | 1.28922e8 | + | 2.18626e8i | 0.703528 | + | 1.19304i | ||||
\(569\) | 2.64173e7 | − | 4.57561e7i | 0.143401 | − | 0.248377i | −0.785374 | − | 0.619021i | \(-0.787530\pi\) |
0.928775 | + | 0.370644i | \(0.120863\pi\) | |||||||
\(570\) | −4.18898e7 | − | 5.21244e7i | −0.226195 | − | 0.281460i | ||||
\(571\) | 1.46720e7 | + | 2.54126e7i | 0.0788098 | + | 0.136503i | 0.902737 | − | 0.430194i | \(-0.141555\pi\) |
−0.823927 | + | 0.566696i | \(0.808221\pi\) | |||||||
\(572\) | −1.03974e7 | − | 1.76761e6i | −0.0555566 | − | 0.00944490i | ||||
\(573\) | −8.40038e7 | − | 1.54002e8i | −0.446514 | − | 0.818581i | ||||
\(574\) | 2.54906e6 | − | 2.15228e6i | 0.0134786 | − | 0.0113806i | ||||
\(575\) | − | 8.49820e7i | − | 0.447016i | ||||||
\(576\) | 1.91017e8 | + | 5.74402e6i | 0.999548 | + | 0.0300572i | ||||
\(577\) | 8.80540e7 | 0.458376 | 0.229188 | − | 0.973382i | \(-0.426393\pi\) | ||||
0.229188 | + | 0.973382i | \(0.426393\pi\) | |||||||
\(578\) | 1.00148e8 | + | 1.18610e8i | 0.518631 | + | 0.614242i | ||||
\(579\) | −6.33590e6 | + | 2.61354e8i | −0.0326417 | + | 1.34646i | ||||
\(580\) | 1.45001e7 | − | 8.52923e7i | 0.0743169 | − | 0.437145i | ||||
\(581\) | 1.44108e7 | − | 8.32009e6i | 0.0734785 | − | 0.0424228i | ||||
\(582\) | 7.81804e7 | + | 3.03444e7i | 0.396578 | + | 0.153925i | ||||
\(583\) | 1.91681e6 | + | 1.10667e6i | 0.00967326 | + | 0.00558486i | ||||
\(584\) | −2.41946e8 | + | 1.42674e8i | −1.21473 | + | 0.716316i | ||||
\(585\) | 5.70729e7 | + | 2.76882e6i | 0.285077 | + | 0.0138301i | ||||
\(586\) | −3.17033e8 | − | 1.14290e8i | −1.57548 | − | 0.567957i | ||||
\(587\) | 1.84530e8 | − | 3.19615e8i | 0.912330 | − | 1.58020i | 0.101565 | − | 0.994829i | \(-0.467615\pi\) |
0.810764 | − | 0.585372i | \(-0.199052\pi\) | |||||||
\(588\) | 1.98276e8 | + | 3.86740e7i | 0.975299 | + | 0.190233i | ||||
\(589\) | 1.90257e8 | − | 1.09845e8i | 0.931095 | − | 0.537568i | ||||
\(590\) | −4.30920e6 | − | 2.40076e7i | −0.0209817 | − | 0.116894i | ||||
\(591\) | 8.63903e7 | − | 1.41593e8i | 0.418507 | − | 0.685927i | ||||
\(592\) | 4.00124e7 | − | 1.14279e8i | 0.192854 | − | 0.550809i | ||||
\(593\) | 3.64704e8 | 1.74895 | 0.874473 | − | 0.485074i | \(-0.161207\pi\) | ||||
0.874473 | + | 0.485074i | \(0.161207\pi\) | |||||||
\(594\) | −1.77413e6 | − | 1.68524e7i | −0.00846497 | − | 0.0804084i | ||||
\(595\) | 3.03686e6 | 0.0144170 | ||||||||
\(596\) | 1.21029e8 | + | 3.26278e8i | 0.571676 | + | 1.54117i | ||||
\(597\) | −6.17613e7 | + | 1.01226e8i | −0.290264 | + | 0.475740i | ||||
\(598\) | −7.87916e7 | + | 1.41426e7i | −0.368448 | + | 0.0661339i | ||||
\(599\) | 2.17084e8 | − | 1.25334e8i | 1.01006 | − | 0.583159i | 0.0988516 | − | 0.995102i | \(-0.468483\pi\) |
0.911210 | + | 0.411943i | \(0.135150\pi\) | |||||||
\(600\) | −9.22202e7 | + | 1.54326e8i | −0.426945 | + | 0.714471i | ||||
\(601\) | −8.40160e7 | + | 1.45520e8i | −0.387025 | + | 0.670347i | −0.992048 | − | 0.125861i | \(-0.959831\pi\) |
0.605023 | + | 0.796208i | \(0.293164\pi\) | |||||||
\(602\) | 2.31801e6 | + | 835638.i | 0.0106249 | + | 0.00383026i | ||||
\(603\) | 1.30535e8 | − | 2.02726e8i | 0.595355 | − | 0.924609i | ||||
\(604\) | −2.07516e8 | + | 2.50413e8i | −0.941761 | + | 1.13644i | ||||
\(605\) | −7.80177e7 | − | 4.50435e7i | −0.352312 | − | 0.203407i | ||||
\(606\) | −1.43881e8 | + | 3.70700e8i | −0.646525 | + | 1.66573i | ||||
\(607\) | 9.85662e7 | − | 5.69072e7i | 0.440719 | − | 0.254449i | −0.263183 | − | 0.964746i | \(-0.584772\pi\) |
0.703903 | + | 0.710296i | \(0.251439\pi\) | |||||||
\(608\) | −7.06341e7 | − | 1.85174e8i | −0.314271 | − | 0.823891i | ||||
\(609\) | −471273. | + | 1.94399e7i | −0.00208651 | + | 0.0860679i | ||||
\(610\) | −1.59922e7 | − | 1.89404e7i | −0.0704561 | − | 0.0834449i | ||||
\(611\) | −8.79608e7 | −0.385625 | ||||||||
\(612\) | 9.67663e7 | − | 3.06482e7i | 0.422153 | − | 0.133706i | ||||
\(613\) | 1.74045e8i | 0.755581i | 0.925891 | + | 0.377790i | \(0.123316\pi\) | ||||
−0.925891 | + | 0.377790i | \(0.876684\pi\) | |||||||
\(614\) | 3.82077e6 | + | 4.52514e6i | 0.0165061 | + | 0.0195491i | ||||
\(615\) | −1.01203e7 | − | 1.85533e7i | −0.0435080 | − | 0.0797620i | ||||
\(616\) | 739278. | − | 1.30814e6i | 0.00316276 | − | 0.00559642i | ||||
\(617\) | 1.25627e8 | + | 2.17593e8i | 0.534845 | + | 0.926379i | 0.999171 | + | 0.0407142i | \(0.0129633\pi\) |
−0.464326 | + | 0.885664i | \(0.653703\pi\) | |||||||
\(618\) | −1.74490e8 | − | 2.17121e8i | −0.739272 | − | 0.919893i | ||||
\(619\) | 4.41787e6 | − | 7.65197e6i | 0.0186269 | − | 0.0322627i | −0.856562 | − | 0.516045i | \(-0.827404\pi\) |
0.875189 | + | 0.483782i | \(0.160737\pi\) | |||||||
\(620\) | 9.16205e7 | + | 7.59253e7i | 0.384430 | + | 0.318575i | ||||
\(621\) | −5.60479e7 | − | 1.15766e8i | −0.234037 | − | 0.483400i | ||||
\(622\) | 2.32654e8 | + | 8.38713e7i | 0.966805 | + | 0.348532i | ||||
\(623\) | 1.25002e7 | + | 7.21698e6i | 0.0516954 | + | 0.0298464i | ||||
\(624\) | 1.58431e8 | + | 5.98200e7i | 0.652060 | + | 0.246203i | ||||
\(625\) | −6.40952e7 | − | 1.11016e8i | −0.262534 | − | 0.454722i | ||||
\(626\) | −3.72746e8 | + | 6.69054e7i | −1.51946 | + | 0.272733i | ||||
\(627\) | −1.54278e7 | + | 8.41546e6i | −0.0625895 | + | 0.0341409i | ||||
\(628\) | −2.14439e7 | − | 5.78102e7i | −0.0865816 | − | 0.233413i | ||||
\(629\) | − | 6.43120e7i | − | 0.258428i | ||||||
\(630\) | −3.12868e6 | + | 7.51558e6i | −0.0125124 | + | 0.0300567i | ||||
\(631\) | − | 2.47969e8i | − | 0.986983i | −0.869751 | − | 0.493491i | \(-0.835720\pi\) | ||
0.869751 | − | 0.493491i | \(-0.164280\pi\) | |||||||
\(632\) | 4.39072e8 | − | 4.04264e6i | 1.73934 | − | 0.0160145i | ||||
\(633\) | −5.44817e6 | + | 2.24736e8i | −0.0214803 | + | 0.886055i | ||||
\(634\) | −7.08308e7 | − | 3.94615e8i | −0.277942 | − | 1.54848i | ||||
\(635\) | −2.30446e7 | − | 3.99144e7i | −0.0900011 | − | 0.155886i | ||||
\(636\) | −2.68074e7 | − | 2.33338e7i | −0.104204 | − | 0.0907012i | ||||
\(637\) | 1.55032e8 | + | 8.95080e7i | 0.599797 | + | 0.346293i | ||||
\(638\) | −2.13892e7 | − | 7.71076e6i | −0.0823629 | − | 0.0296917i | ||||
\(639\) | −3.21350e8 | + | 1.65311e8i | −1.23162 | + | 0.633578i | ||||
\(640\) | 8.07304e7 | − | 7.07510e7i | 0.307962 | − | 0.269894i | ||||
\(641\) | 1.63794e8 | − | 2.83700e8i | 0.621905 | − | 1.07717i | −0.367225 | − | 0.930132i | \(-0.619692\pi\) |
0.989131 | − | 0.147039i | \(-0.0469744\pi\) | |||||||
\(642\) | −6.34922e7 | − | 4.10746e8i | −0.239947 | − | 1.55227i | ||||
\(643\) | 8.41297e6 | + | 1.45717e7i | 0.0316458 | + | 0.0548122i | 0.881415 | − | 0.472343i | \(-0.156592\pi\) |
−0.849769 | + | 0.527156i | \(0.823258\pi\) | |||||||
\(644\) | 1.91147e6 | − | 1.12436e7i | 0.00715665 | − | 0.0420967i | ||||
\(645\) | 8.12990e6 | − | 1.33248e7i | 0.0302974 | − | 0.0496571i | ||||
\(646\) | −6.79116e7 | − | 8.04313e7i | −0.251911 | − | 0.298351i | ||||
\(647\) | − | 2.54824e8i | − | 0.940867i | −0.882436 | − | 0.470433i | \(-0.844098\pi\) | ||
0.882436 | − | 0.470433i | \(-0.155902\pi\) | |||||||
\(648\) | −2.38444e7 | + | 2.71051e8i | −0.0876319 | + | 0.996153i | ||||
\(649\) | −6.41008e6 | −0.0234493 | ||||||||
\(650\) | −1.21727e8 | + | 1.02780e8i | −0.443250 | + | 0.374255i | ||||
\(651\) | −2.28308e7 | − | 1.39298e7i | −0.0827520 | − | 0.0504897i | ||||
\(652\) | 3.91669e7 | − | 2.30387e8i | 0.141311 | − | 0.831219i | ||||
\(653\) | −3.58115e7 | + | 2.06758e7i | −0.128612 | + | 0.0742544i | −0.562926 | − | 0.826507i | \(-0.690324\pi\) |
0.434313 | + | 0.900762i | \(0.356991\pi\) | |||||||
\(654\) | −3.99699e8 | + | 6.17847e7i | −1.42889 | + | 0.220876i | ||||
\(655\) | −7.51967e7 | − | 4.34149e7i | −0.267593 | − | 0.154495i | ||||
\(656\) | −1.16330e7 | − | 6.15462e7i | −0.0412079 | − | 0.218017i | ||||
\(657\) | −1.82945e8 | − | 3.55628e8i | −0.645095 | − | 1.25401i | ||||
\(658\) | 4.25000e6 | − | 1.17892e7i | 0.0149180 | − | 0.0413816i | ||||
\(659\) | 6.46411e6 | − | 1.11962e7i | 0.0225867 | − | 0.0391213i | −0.854511 | − | 0.519433i | \(-0.826143\pi\) |
0.877098 | + | 0.480312i | \(0.159476\pi\) | |||||||
\(660\) | −7.17971e6 | − | 6.24938e6i | −0.0249733 | − | 0.0217373i | ||||
\(661\) | 3.77950e8 | − | 2.18209e8i | 1.30867 | − | 0.755560i | 0.326795 | − | 0.945095i | \(-0.394031\pi\) |
0.981874 | + | 0.189535i | \(0.0606981\pi\) | |||||||
\(662\) | −4.51106e8 | + | 8.09704e7i | −1.55491 | + | 0.279095i | ||||
\(663\) | 8.99226e7 | + | 2.17996e6i | 0.308552 | + | 0.00748010i | ||||
\(664\) | −2.87637e6 | − | 3.12402e8i | −0.00982517 | − | 1.06711i | ||||
\(665\) | 8.44263e6 | 0.0287087 | ||||||||
\(666\) | 1.59159e8 | + | 6.62566e7i | 0.538775 | + | 0.224288i | ||||
\(667\) | −1.72576e8 | −0.581571 | ||||||||
\(668\) | 4.46269e7 | + | 1.20309e8i | 0.149716 | + | 0.403615i | ||||
\(669\) | 1.73402e8 | + | 3.17893e8i | 0.579129 | + | 1.06170i | ||||
\(670\) | −2.39280e7 | − | 1.33309e8i | −0.0795578 | − | 0.443236i | ||||
\(671\) | −5.64178e6 | + | 3.25728e6i | −0.0186745 | + | 0.0107817i | ||||
\(672\) | −1.56725e7 | + | 1.83439e7i | −0.0516452 | + | 0.0604484i | ||||
\(673\) | 1.01506e8 | − | 1.75814e8i | 0.333003 | − | 0.576779i | −0.650096 | − | 0.759852i | \(-0.725271\pi\) |
0.983099 | + | 0.183073i | \(0.0586046\pi\) | |||||||
\(674\) | 6.96595e7 | − | 1.93231e8i | 0.227510 | − | 0.631098i | ||||
\(675\) | −2.11798e8 | − | 1.43755e8i | −0.688669 | − | 0.467425i | ||||
\(676\) | −1.22307e8 | − | 1.01355e8i | −0.395923 | − | 0.328099i | ||||
\(677\) | −5.79528e6 | − | 3.34591e6i | −0.0186771 | − | 0.0107832i | 0.490632 | − | 0.871367i | \(-0.336766\pi\) |
−0.509309 | + | 0.860583i | \(0.670099\pi\) | |||||||
\(678\) | 2.06722e8 | − | 1.66133e8i | 0.663283 | − | 0.533047i | ||||
\(679\) | −9.16939e6 | + | 5.29395e6i | −0.0292908 | + | 0.0169111i | ||||
\(680\) | 2.80524e7 | − | 4.96380e7i | 0.0892160 | − | 0.157866i | ||||
\(681\) | −1.50761e8 | + | 8.22359e7i | −0.477361 | + | 0.260388i | ||||
\(682\) | 2.38933e7 | − | 2.01741e7i | 0.0753222 | − | 0.0635978i | ||||
\(683\) | 4.64772e8 | 1.45874 | 0.729370 | − | 0.684119i | \(-0.239813\pi\) | ||||
0.729370 | + | 0.684119i | \(0.239813\pi\) | |||||||
\(684\) | 2.69016e8 | − | 8.52036e7i | 0.840638 | − | 0.266250i | ||||
\(685\) | 1.35893e8i | 0.422792i | ||||||||
\(686\) | −3.90985e7 | + | 3.30126e7i | −0.121112 | + | 0.102260i | ||||
\(687\) | −2.73029e8 | − | 6.61892e6i | −0.842050 | − | 0.0204135i | ||||
\(688\) | 3.50707e7 | − | 3.01692e7i | 0.107691 | − | 0.0926399i | ||||
\(689\) | −1.57472e7 | − | 2.72749e7i | −0.0481443 | − | 0.0833884i | ||||
\(690\) | −6.73528e7 | − | 2.61418e7i | −0.205026 | − | 0.0795772i | ||||
\(691\) | −1.94299e8 | + | 3.36535e8i | −0.588892 | + | 1.01999i | 0.405486 | + | 0.914101i | \(0.367102\pi\) |
−0.994378 | + | 0.105889i | \(0.966231\pi\) | |||||||
\(692\) | 1.43271e8 | − | 1.72887e8i | 0.432354 | − | 0.521729i | ||||
\(693\) | 1.79878e6 | + | 1.15823e6i | 0.00540478 | + | 0.00348013i | ||||
\(694\) | 1.84020e8 | − | 5.10460e8i | 0.550538 | − | 1.52716i | ||||
\(695\) | −1.53171e8 | − | 8.84335e7i | −0.456271 | − | 0.263428i | ||||
\(696\) | 3.13395e8 | + | 1.87275e8i | 0.929531 | + | 0.555459i | ||||
\(697\) | −1.66344e7 | − | 2.88117e7i | −0.0491258 | − | 0.0850884i | ||||
\(698\) | 1.04242e8 | + | 5.80759e8i | 0.306533 | + | 1.70777i | ||||
\(699\) | −1.80241e8 | − | 1.09971e8i | −0.527741 | − | 0.321992i | ||||
\(700\) | −7.89387e6 | − | 2.12809e7i | −0.0230142 | − | 0.0620434i | ||||
\(701\) | 4.46343e8i | 1.29573i | 0.761755 | + | 0.647865i | \(0.224338\pi\) | ||||
−0.761755 | + | 0.647865i | \(0.775662\pi\) | |||||||
\(702\) | −9.80365e7 | + | 2.20294e8i | −0.283385 | + | 0.636782i | ||||
\(703\) | − | 1.78791e8i | − | 0.514611i | ||||||
\(704\) | −1.45528e7 | − | 2.41673e7i | −0.0417088 | − | 0.0692643i | ||||
\(705\) | −6.77691e7 | − | 4.13481e7i | −0.193403 | − | 0.118002i | ||||
\(706\) | 2.71157e8 | − | 4.86708e7i | 0.770560 | − | 0.138310i | ||||
\(707\) | −2.51018e7 | − | 4.34776e7i | −0.0710308 | − | 0.123029i | ||||
\(708\) | 1.01024e8 | + | 1.97049e7i | 0.284660 | + | 0.0555233i | ||||
\(709\) | 3.41563e8 | + | 1.97202e8i | 0.958369 | + | 0.553314i | 0.895671 | − | 0.444718i | \(-0.146696\pi\) |
0.0626982 | + | 0.998033i | \(0.480029\pi\) | |||||||
\(710\) | −6.88415e7 | + | 1.90962e8i | −0.192343 | + | 0.533546i | ||||
\(711\) | −3.02946e7 | + | 6.24455e8i | −0.0842863 | + | 1.73737i | ||||
\(712\) | 2.33431e8 | − | 1.37652e8i | 0.646723 | − | 0.381367i | ||||
\(713\) | 1.18678e8 | − | 2.05556e8i | 0.327417 | − | 0.567102i | ||||
\(714\) | −4.63696e6 | + | 1.19468e7i | −0.0127391 | + | 0.0328214i | ||||
\(715\) | −4.21750e6 | − | 7.30493e6i | −0.0115382 | − | 0.0199847i | ||||
\(716\) | −2.80308e7 | + | 1.64882e8i | −0.0763653 | + | 0.449195i | ||||
\(717\) | −5.16143e8 | − | 1.25126e7i | −1.40027 | − | 0.0339462i | ||||
\(718\) | 4.99437e8 | − | 4.21696e8i | 1.34930 | − | 1.13927i | ||||
\(719\) | − | 4.54243e8i | − | 1.22209i | −0.791598 | − | 0.611043i | \(-0.790750\pi\) | ||
0.791598 | − | 0.611043i | \(-0.209250\pi\) | |||||||
\(720\) | 9.39430e7 | + | 1.20563e8i | 0.251691 | + | 0.323009i | ||||
\(721\) | 3.51674e7 | 0.0938283 | ||||||||
\(722\) | 5.40098e7 | + | 6.39666e7i | 0.143503 | + | 0.169958i | ||||
\(723\) | −3.17134e8 | + | 1.72988e8i | −0.839126 | + | 0.457721i | ||||
\(724\) | −1.28645e8 | − | 2.18703e7i | −0.338982 | − | 0.0576286i | ||||
\(725\) | −2.97441e8 | + | 1.71728e8i | −0.780526 | + | 0.450637i | ||||
\(726\) | 2.96323e8 | − | 2.38140e8i | 0.774383 | − | 0.622333i | ||||
\(727\) | 2.61670e7 | + | 1.51075e7i | 0.0681006 | + | 0.0393179i | 0.533664 | − | 0.845697i | \(-0.320815\pi\) |
−0.465563 | + | 0.885015i | \(0.654148\pi\) | |||||||
\(728\) | −1.84171e7 | + | 1.08604e7i | −0.0477338 | + | 0.0281483i | ||||
\(729\) | −3.83331e8 | − | 5.61431e7i | −0.989444 | − | 0.144915i | ||||
\(730\) | −2.11331e8 | − | 7.61846e7i | −0.543245 | − | 0.195839i | ||||
\(731\) | 1.22859e7 | − | 2.12797e7i | 0.0314524 | − | 0.0544771i | ||||
\(732\) | 9.89289e7 | − | 3.39924e7i | 0.252226 | − | 0.0866660i | ||||
\(733\) | 6.54391e8 | − | 3.77813e8i | 1.66160 | − | 0.959323i | 0.689644 | − | 0.724149i | \(-0.257767\pi\) |
0.971953 | − | 0.235175i | \(-0.0755663\pi\) | |||||||
\(734\) | −1.05781e8 | − | 5.89329e8i | −0.267496 | − | 1.49029i | ||||
\(735\) | 7.73687e7 | + | 1.41838e8i | 0.194851 | + | 0.357215i | ||||
\(736\) | −1.66122e8 | − | 1.35104e8i | −0.416672 | − | 0.338871i | ||||
\(737\) | −3.55937e7 | −0.0889141 | ||||||||
\(738\) | 8.84403e7 | − | 1.14839e7i | 0.220030 | − | 0.0285706i | ||||
\(739\) | −6.65319e8 | −1.64853 | −0.824264 | − | 0.566205i | \(-0.808411\pi\) | ||||
−0.824264 | + | 0.566205i | \(0.808411\pi\) | |||||||
\(740\) | 9.07942e7 | − | 3.36789e7i | 0.224059 | − | 0.0831119i | ||||
\(741\) | 2.49990e8 | + | 6.06040e6i | 0.614423 | + | 0.0148952i | ||||
\(742\) | 4.41646e6 | − | 792724.i | 0.0108109 | − | 0.00194049i | ||||
\(743\) | 1.08727e8 | − | 6.27737e7i | 0.265077 | − | 0.153042i | −0.361571 | − | 0.932344i | \(-0.617760\pi\) |
0.626648 | + | 0.779302i | \(0.284426\pi\) | |||||||
\(744\) | −4.38580e8 | + | 2.44500e8i | −1.06495 | + | 0.593690i | ||||
\(745\) | −1.39164e8 | + | 2.41039e8i | −0.336557 | + | 0.582933i | ||||
\(746\) | 5.24394e8 | + | 1.89043e8i | 1.26311 | + | 0.455349i | ||||
\(747\) | 4.44304e8 | + | 2.15548e7i | 1.06590 | + | 0.0517110i | ||||
\(748\) | −1.15373e7 | − | 9.56089e6i | −0.0275676 | − | 0.0228451i | ||||
\(749\) | 4.54436e7 | + | 2.62369e7i | 0.108150 | + | 0.0624405i | ||||
\(750\) | −3.12825e8 | + | 4.83558e7i | −0.741511 | + | 0.114621i | ||||
\(751\) | −5.22936e8 | + | 3.01917e8i | −1.23461 | + | 0.712800i | −0.967987 | − | 0.251002i | \(-0.919240\pi\) |
−0.266619 | + | 0.963802i | \(0.585907\pi\) | |||||||
\(752\) | −1.53438e8 | − | 1.78367e8i | −0.360812 | − | 0.419433i | ||||
\(753\) | −6.37343e7 | − | 3.88864e7i | −0.149275 | − | 0.0910777i | ||||
\(754\) | 2.08718e8 | + | 2.47196e8i | 0.486908 | + | 0.576671i | ||||
\(755\) | −2.60109e8 | −0.604386 | ||||||||
\(756\) | −2.47887e7 | − | 2.37836e7i | −0.0573705 | − | 0.0550442i | ||||
\(757\) | 8.22632e8i | 1.89635i | 0.317753 | + | 0.948174i | \(0.397072\pi\) | ||||
−0.317753 | + | 0.948174i | \(0.602928\pi\) | |||||||
\(758\) | 1.02076e8 | + | 1.20894e8i | 0.234378 | + | 0.277586i | ||||
\(759\) | −9.88918e6 | + | 1.62083e7i | −0.0226170 | + | 0.0370690i | ||||
\(760\) | 7.79871e7 | − | 1.37996e8i | 0.177657 | − | 0.314360i | ||||
\(761\) | 1.04209e8 | + | 1.80495e8i | 0.236457 | + | 0.409555i | 0.959695 | − | 0.281044i | \(-0.0906805\pi\) |
−0.723238 | + | 0.690598i | \(0.757347\pi\) | |||||||
\(762\) | 1.92208e8 | − | 2.97110e7i | 0.434416 | − | 0.0671511i | ||||
\(763\) | 2.55313e7 | − | 4.42215e7i | 0.0574776 | − | 0.0995542i | ||||
\(764\) | 2.65322e8 | − | 3.20169e8i | 0.594967 | − | 0.717958i | ||||
\(765\) | 6.82557e7 | + | 4.39498e7i | 0.152460 | + | 0.0981686i | ||||
\(766\) | 2.05020e8 | + | 7.39093e7i | 0.456152 | + | 0.164442i | ||||
\(767\) | 7.89912e7 | + | 4.56056e7i | 0.175062 | + | 0.101072i | ||||
\(768\) | 1.55064e8 | + | 4.25618e8i | 0.342315 | + | 0.939585i | ||||
\(769\) | −1.98853e8 | − | 3.44424e8i | −0.437274 | − | 0.757381i | 0.560204 | − | 0.828355i | \(-0.310723\pi\) |
−0.997478 | + | 0.0709736i | \(0.977389\pi\) | |||||||
\(770\) | 1.18284e6 | − | 212312.i | 0.00259092 | − | 0.000465053i | ||||
\(771\) | −3.29598e6 | + | 1.35958e8i | −0.00719153 | + | 0.296648i | ||||
\(772\) | −5.81004e8 | + | 2.15516e8i | −1.26278 | + | 0.468411i | ||||
\(773\) | 7.20951e7i | 0.156087i | 0.996950 | + | 0.0780436i | \(0.0248673\pi\) | ||||
−0.996950 | + | 0.0780436i | \(0.975133\pi\) | |||||||
\(774\) | 4.00055e7 | + | 5.23281e7i | 0.0862774 | + | 0.112853i | ||||
\(775\) | − | 4.72378e8i | − | 1.01481i | ||||||
\(776\) | 1.83019e6 | + | 1.98777e8i | 0.00391662 | + | 0.425384i | ||||
\(777\) | −1.91080e7 | + | 1.04229e7i | −0.0407336 | + | 0.0222191i | ||||
\(778\) | 6.64027e7 | + | 3.69946e8i | 0.141009 | + | 0.785596i | ||||
\(779\) | −4.62447e7 | − | 8.00981e7i | −0.0978249 | − | 0.169438i | ||||
\(780\) | 4.40131e7 | + | 1.28092e8i | 0.0927466 | + | 0.269923i | ||||
\(781\) | 4.61995e7 | + | 2.66733e7i | 0.0969804 | + | 0.0559917i | ||||
\(782\) | −1.06992e8 | − | 3.85705e7i | −0.223734 | − | 0.0806556i | ||||
\(783\) | −2.91929e8 | + | 4.30106e8i | −0.608123 | + | 0.895963i | ||||
\(784\) | 8.89330e7 | + | 4.70513e8i | 0.184550 | + | 0.976391i | ||||
\(785\) | 2.46571e7 | − | 4.27074e7i | 0.0509722 | − | 0.0882865i | ||||
\(786\) | 2.85609e8 | − | 2.29530e8i | 0.588172 | − | 0.472684i | ||||
\(787\) | 2.08093e8 | + | 3.60428e8i | 0.426908 | + | 0.739426i | 0.996596 | − | 0.0824346i | \(-0.0262696\pi\) |
−0.569689 | + | 0.821861i | \(0.692936\pi\) | |||||||
\(788\) | 3.87604e8 | + | 6.58946e7i | 0.792154 | + | 0.134670i | ||||
\(789\) | −2.67540e8 | − | 4.90473e8i | −0.544700 | − | 0.998582i | ||||
\(790\) | 2.26558e8 | + | 2.68325e8i | 0.459514 | + | 0.544226i | ||||
\(791\) | 3.34830e7i | 0.0676543i | ||||||||
\(792\) | 3.55474e7 | − | 1.87024e7i | 0.0715537 | − | 0.0376463i | ||||
\(793\) | 9.26980e7 | 0.185888 | ||||||||
\(794\) | −2.85449e8 | + | 2.41016e8i | −0.570251 | + | 0.481488i | ||||
\(795\) | 688882. | − | 2.84162e7i | 0.00137102 | − | 0.0565542i | ||||
\(796\) | −2.77102e8 | − | 4.71088e7i | −0.549416 | − | 0.0934034i | ||||
\(797\) | −5.30088e8 | + | 3.06046e8i | −1.04706 | + | 0.604522i | −0.921826 | − | 0.387605i | \(-0.873303\pi\) |
−0.125238 | + | 0.992127i | \(0.539969\pi\) | |||||||
\(798\) | −1.28910e7 | + | 3.32128e7i | −0.0253675 | + | 0.0653578i | ||||
\(799\) | −1.08227e8 | − | 6.24851e7i | −0.212176 | − | 0.122500i | ||||
\(800\) | −4.20758e8 | − | 6.75512e7i | −0.821793 | − | 0.131936i | ||||
\(801\) | 1.76506e8 | + | 3.43112e8i | 0.343449 | + | 0.667633i | ||||
\(802\) | −9.05179e7 | + | 2.51091e8i | −0.175473 | + | 0.486752i | ||||
\(803\) | −2.95185e7 | + | 5.11275e7i | −0.0570095 | + | 0.0987433i | ||||
\(804\) | 5.60965e8 | + | 1.09417e8i | 1.07936 | + | 0.210531i | ||||
\(805\) | 7.89948e6 | − | 4.56077e6i | 0.0151430 | − | 0.00874279i | ||||
\(806\) | −4.37969e8 | + | 7.86124e7i | −0.836446 | + | 0.150136i | ||||
\(807\) | 7.47152e7 | − | 1.22457e8i | 0.142163 | − | 0.233004i | ||||
\(808\) | −9.42522e8 | + | 8.67803e6i | −1.78672 | + | 0.0164508i | ||||
\(809\) | 1.53184e8 | 0.289313 | 0.144657 | − | 0.989482i | \(-0.453792\pi\) | ||||
0.144657 | + | 0.989482i | \(0.453792\pi\) | |||||||
\(810\) | −1.79086e8 | + | 1.23640e8i | −0.336982 | + | 0.232650i | ||||
\(811\) | 3.89278e8 | 0.729788 | 0.364894 | − | 0.931049i | \(-0.381105\pi\) | ||||
0.364894 | + | 0.931049i | \(0.381105\pi\) | |||||||
\(812\) | −4.32159e7 | + | 1.60304e7i | −0.0807189 | + | 0.0299416i | ||||
\(813\) | 2.51763e8 | − | 4.12637e8i | 0.468512 | − | 0.767886i | ||||
\(814\) | −4.49617e6 | − | 2.50492e7i | −0.00833622 | − | 0.0464431i | ||||
\(815\) | 1.61864e8 | − | 9.34522e7i | 0.299004 | − | 0.172630i | ||||
\(816\) | 1.52440e8 | + | 1.86148e8i | 0.280562 | + | 0.342601i | ||||
\(817\) | 3.41554e7 | − | 5.91588e7i | 0.0626315 | − | 0.108481i | ||||
\(818\) | −8.06101e7 | + | 2.23607e8i | −0.147275 | + | 0.408532i | ||||
\(819\) | −1.39259e7 | − | 2.70706e7i | −0.0253496 | − | 0.0492772i | ||||
\(820\) | 3.19646e7 | − | 3.85723e7i | 0.0579732 | − | 0.0699574i | ||||
\(821\) | −2.07173e8 | − | 1.19611e8i | −0.374372 | − | 0.216144i | 0.300995 | − | 0.953626i | \(-0.402681\pi\) |
−0.675367 | + | 0.737482i | \(0.736015\pi\) | |||||||
\(822\) | −5.34597e8 | − | 2.07495e8i | −0.962522 | − | 0.373587i | ||||
\(823\) | −8.73327e8 | + | 5.04216e8i | −1.56667 | + | 0.904517i | −0.570116 | + | 0.821564i | \(0.693102\pi\) |
−0.996553 | + | 0.0829529i | \(0.973565\pi\) | |||||||
\(824\) | 3.24851e8 | − | 5.74817e8i | 0.580635 | − | 1.02742i | ||||
\(825\) | −915792. | + | 3.77762e7i | −0.00163093 | + | 0.0672754i | ||||
\(826\) | −9.92904e6 | + | 8.38352e6i | −0.0176184 | + | 0.0148760i | ||||
\(827\) | −7.94548e7 | −0.140476 | −0.0702382 | − | 0.997530i | \(-0.522376\pi\) | ||||
−0.0702382 | + | 0.997530i | \(0.522376\pi\) | |||||||
\(828\) | 2.05681e8 | − | 2.25046e8i | 0.362329 | − | 0.396443i | ||||
\(829\) | − | 1.65239e8i | − | 0.290034i | −0.989429 | − | 0.145017i | \(-0.953676\pi\) | ||
0.989429 | − | 0.145017i | \(-0.0463237\pi\) | |||||||
\(830\) | 1.90915e8 | − | 1.61198e8i | 0.333892 | − | 0.281919i | ||||
\(831\) | 4.98724e7 | + | 9.14297e7i | 0.0869076 | + | 0.159325i | ||||
\(832\) | 7.39130e6 | + | 4.01351e8i | 0.0128337 | + | 0.696874i | ||||
\(833\) | 1.27168e8 | + | 2.20262e8i | 0.220011 | + | 0.381070i | ||||
\(834\) | 5.81768e8 | − | 4.67538e8i | 1.00289 | − | 0.805971i | ||||
\(835\) | −5.13139e7 | + | 8.88783e7i | −0.0881405 | + | 0.152664i | ||||
\(836\) | −3.20744e7 | − | 2.65798e7i | −0.0548958 | − | 0.0454918i | ||||
\(837\) | −3.11546e8 | − | 6.43494e8i | −0.531307 | − | 1.09741i | ||||
\(838\) | −2.97360e6 | + | 8.24858e6i | −0.00505302 | + | 0.0140167i | ||||
\(839\) | 4.51925e8 | + | 2.60919e8i | 0.765210 | + | 0.441794i | 0.831163 | − | 0.556028i | \(-0.187675\pi\) |
−0.0659531 | + | 0.997823i | \(0.521009\pi\) | |||||||
\(840\) | −1.92945e7 | − | 290035.i | −0.0325534 | − | 0.000489343i | ||||
\(841\) | 5.13223e7 | + | 8.88928e7i | 0.0862816 | + | 0.149444i | ||||
\(842\) | 2.04448e8 | + | 1.13903e9i | 0.342489 | + | 1.90809i | ||||
\(843\) | 8.84257e8 | − | 4.82338e8i | 1.47603 | − | 0.805135i | ||||
\(844\) | −4.99599e8 | + | 1.85320e8i | −0.830987 | + | 0.308244i | ||||
\(845\) | − | 1.27042e8i | − | 0.210561i | ||||||
\(846\) | 2.66137e8 | − | 2.03465e8i | 0.439536 | − | 0.336031i | ||||
\(847\) | 4.79957e7i | 0.0789864i | ||||||||
\(848\) | 2.78389e7 | − | 7.95105e7i | 0.0456526 | − | 0.130388i | ||||
\(849\) | 4.90092e6 | − | 2.02162e8i | 0.00800857 | − | 0.330351i | ||||
\(850\) | −2.22786e8 | + | 3.99885e7i | −0.362770 | + | 0.0651147i | ||||
\(851\) | −9.65840e7 | − | 1.67288e8i | −0.156717 | − | 0.271442i | ||||
\(852\) | −6.46119e8 | − | 5.62397e8i | −1.04471 | − | 0.909336i | ||||
\(853\) | −3.57290e8 | − | 2.06281e8i | −0.575670 | − | 0.332363i | 0.183741 | − | 0.982975i | \(-0.441179\pi\) |
−0.759411 | + | 0.650612i | \(0.774513\pi\) | |||||||
\(854\) | −4.47888e6 | + | 1.24241e7i | −0.00719111 | + | 0.0199477i | ||||
\(855\) | 1.89755e8 | + | 1.22183e8i | 0.303595 | + | 0.195484i | ||||
\(856\) | 8.48622e8 | − | 5.00426e8i | 1.35298 | − | 0.797844i | ||||
\(857\) | −3.59237e8 | + | 6.22216e8i | −0.570740 | + | 0.988550i | 0.425750 | + | 0.904841i | \(0.360010\pi\) |
−0.996490 | + | 0.0837096i | \(0.973323\pi\) | |||||||
\(858\) | 3.51768e7 | − | 5.43756e6i | 0.0556923 | − | 0.00860880i | ||||
\(859\) | 6.88024e7 | + | 1.19169e8i | 0.108549 | + | 0.188012i | 0.915182 | − | 0.403040i | \(-0.132046\pi\) |
−0.806634 | + | 0.591051i | \(0.798713\pi\) | |||||||
\(860\) | 3.64761e7 | + | 6.20112e6i | 0.0573473 | + | 0.00974933i | ||||
\(861\) | −5.86446e6 | + | 9.61178e6i | −0.00918795 | + | 0.0150589i | ||||
\(862\) | 7.60258e8 | − | 6.41918e8i | 1.18697 | − | 1.00221i | ||||
\(863\) | 3.76010e7i | 0.0585015i | 0.999572 | + | 0.0292508i | \(0.00931213\pi\) | ||||
−0.999572 | + | 0.0292508i | \(0.990688\pi\) | |||||||
\(864\) | −6.17727e8 | + | 1.85480e8i | −0.957757 | + | 0.287578i | ||||
\(865\) | 1.79581e8 | 0.277468 | ||||||||
\(866\) | −7.32731e7 | − | 8.67812e7i | −0.112821 | − | 0.133620i | ||||
\(867\) | −4.47246e8 | − | 2.72879e8i | −0.686260 | − | 0.418710i | ||||
\(868\) | 1.06250e7 | − | 6.24984e7i | 0.0162469 | − | 0.0955675i | ||||
\(869\) | 7.99259e7 | − | 4.61453e7i | 0.121795 | − | 0.0703182i | ||||
\(870\) | 4.46057e7 | + | 2.88565e8i | 0.0677380 | + | 0.438213i | ||||
\(871\) | 4.38620e8 | + | 2.53238e8i | 0.663795 | + | 0.383242i | ||||
\(872\) | −4.86968e8 | − | 8.25800e8i | −0.734430 | − | 1.24545i | ||||
\(873\) | −2.82704e8 | − | 1.37150e7i | −0.424903 | − | 0.0206136i | ||||
\(874\) | −2.97444e8 | − | 1.07228e8i | −0.445523 | − | 0.160611i | ||||
\(875\) | 1.99821e7 | − | 3.46100e7i | 0.0298275 | − | 0.0516627i | ||||
\(876\) | 6.22386e8 | − | 7.15039e8i | 0.925865 | − | 1.06370i | ||||
\(877\) | −4.53514e8 | + | 2.61836e8i | −0.672345 | + | 0.388178i | −0.796964 | − | 0.604026i | \(-0.793562\pi\) |
0.124620 | + | 0.992205i | \(0.460229\pi\) | |||||||
\(878\) | −1.22995e8 | − | 6.85233e8i | −0.181720 | − | 1.01241i | ||||
\(879\) | 1.13706e9 | + | 2.75652e7i | 1.67423 | + | 0.0405878i | ||||
\(880\) | 7.45599e6 | − | 2.12950e7i | 0.0109410 | − | 0.0312485i | ||||
\(881\) | −6.85895e8 | −1.00307 | −0.501534 | − | 0.865138i | \(-0.667231\pi\) | ||||
−0.501534 | + | 0.865138i | \(0.667231\pi\) | |||||||
\(882\) | −6.76116e8 | + | 8.77928e7i | −0.985406 | + | 0.127954i | ||||
\(883\) | 9.09790e7 | 0.132148 | 0.0660738 | − | 0.997815i | \(-0.478953\pi\) | ||||
0.0660738 | + | 0.997815i | \(0.478953\pi\) | |||||||
\(884\) | 7.41513e7 | + | 1.99903e8i | 0.107340 | + | 0.289376i | ||||
\(885\) | 3.94204e7 | + | 7.22684e7i | 0.0568711 | + | 0.104260i | ||||
\(886\) | −3.86646e8 | + | 6.94002e7i | −0.555920 | + | 0.0997837i | ||||
\(887\) | 9.70116e8 | − | 5.60097e8i | 1.39012 | − | 0.802587i | 0.396794 | − | 0.917908i | \(-0.370123\pi\) |
0.993328 | + | 0.115321i | \(0.0367896\pi\) | |||||||
\(888\) | −6.14212e6 | + | 4.08603e8i | −0.00877162 | + | 0.583530i | ||||
\(889\) | −1.22775e7 | + | 2.12652e7i | −0.0174745 | + | 0.0302667i | ||||
\(890\) | 2.03894e8 | + | 7.35034e7i | 0.289224 | + | 0.104265i | ||||
\(891\) | 2.36669e7 | + | 5.20643e7i | 0.0334586 | + | 0.0736050i | ||||
\(892\) | −5.47682e8 | + | 6.60898e8i | −0.771674 | + | 0.931193i | ||||
\(893\) | −3.00878e8 | − | 1.73712e8i | −0.422509 | − | 0.243936i | ||||
\(894\) | −7.35745e8 | − | 9.15504e8i | −1.02971 | − | 1.28129i | ||||
\(895\) | −1.15842e8 | + | 6.68814e7i | −0.161583 | + | 0.0932902i | ||||
\(896\) | −5.41494e7 | − | 1.84014e7i | −0.0752783 | − | 0.0255815i | ||||
\(897\) | 2.37181e8 | − | 1.29376e8i | 0.328626 | − | 0.179257i | ||||
\(898\) | 8.97288e8 | + | 1.06271e9i | 1.23909 | + | 1.46752i | ||||
\(899\) | −9.59275e8 | −1.32027 | ||||||||
\(900\) | 1.30559e8 | − | 5.92546e8i | 0.179093 | − | 0.812820i | ||||
\(901\) | − | 4.47455e7i | − | 0.0611752i | ||||||
\(902\) | −8.49332e6 | − | 1.00591e7i | −0.0115733 | − | 0.0137069i | ||||
\(903\) | −8.31366e6 | − | 201545.i | −0.0112909 | − | 0.000273721i | ||||
\(904\) | 5.47286e8 | + | 3.09293e8i | 0.740814 | + | 0.418663i | ||||
\(905\) | −5.21824e7 | − | 9.03826e7i | −0.0704009 | − | 0.121938i | ||||
\(906\) | 3.97159e8 | − | 1.02325e9i | 0.534047 | − | 1.37594i | ||||
\(907\) | 6.66041e8 | − | 1.15362e9i | 0.892646 | − | 1.54611i | 0.0559542 | − | 0.998433i | \(-0.482180\pi\) |
0.836692 | − | 0.547674i | \(-0.184487\pi\) | |||||||
\(908\) | −3.13431e8 | − | 2.59738e8i | −0.418682 | − | 0.346959i | ||||
\(909\) | 6.50312e7 | − | 1.34047e9i | 0.0865825 | − | 1.78470i | ||||
\(910\) | −1.60867e7 | − | 5.79922e6i | −0.0213473 | − | 0.00769565i | ||||
\(911\) | 8.13615e8 | + | 4.69741e8i | 1.07613 | + | 0.621302i | 0.929849 | − | 0.367941i | \(-0.119937\pi\) |
0.146278 | + | 0.989243i | \(0.453271\pi\) | |||||||
\(912\) | 4.23792e8 | + | 5.17502e8i | 0.558686 | + | 0.682225i | ||||
\(913\) | −3.28326e7 | − | 5.68678e7i | −0.0431413 | − | 0.0747230i | ||||
\(914\) | 5.31364e8 | − | 9.53761e7i | 0.695910 | − | 0.124911i | ||||
\(915\) | 7.14188e7 | + | 4.35750e7i | 0.0932287 | + | 0.0568818i | ||||
\(916\) | −2.25143e8 | − | 6.06958e8i | −0.292936 | − | 0.789718i | ||||
\(917\) | 4.62603e7i | 0.0599930i | ||||||||
\(918\) | −2.77115e8 | + | 2.01407e8i | −0.358206 | + | 0.260344i | ||||
\(919\) | − | 2.11931e8i | − | 0.273054i | −0.990636 | − | 0.136527i | \(-0.956406\pi\) | ||
0.990636 | − | 0.136527i | \(-0.0435940\pi\) | |||||||
\(920\) | −1.57672e6 | − | 1.71248e8i | −0.00202484 | − | 0.219918i | ||||
\(921\) | −1.70630e7 | − | 1.04107e7i | −0.0218412 | − | 0.0133260i | ||||
\(922\) | 1.08971e8 | + | 6.07103e8i | 0.139033 | + | 0.774586i | ||||
\(923\) | −3.79543e8 | − | 6.57388e8i | −0.482677 | − | 0.836020i | ||||
\(924\) | −970851. | + | 4.97741e6i | −0.00123066 | + | 0.00630939i | ||||
\(925\) | −3.32933e8 | − | 1.92219e8i | −0.420660 | − | 0.242868i | ||||
\(926\) | −6.27919e6 | − | 2.26364e6i | −0.00790807 | − | 0.00285085i | ||||
\(927\) | 7.90414e8 | + | 5.08947e8i | 0.992237 | + | 0.638900i | ||||
\(928\) | −1.37179e8 | + | 8.54449e8i | −0.171649 | + | 1.06916i | ||||
\(929\) | −2.48784e8 | + | 4.30907e8i | −0.310295 | + | 0.537447i | −0.978426 | − | 0.206596i | \(-0.933761\pi\) |
0.668131 | + | 0.744044i | \(0.267095\pi\) | |||||||
\(930\) | −3.74385e8 | − | 1.45311e8i | −0.465446 | − | 0.180655i | ||||
\(931\) | 3.53535e8 | + | 6.12341e8i | 0.438110 | + | 0.758829i | ||||
\(932\) | 8.38807e7 | − | 4.93401e8i | 0.103613 | − | 0.609470i | ||||
\(933\) | −8.34426e8 | − | 2.02286e7i | −1.02741 | − | 0.0249070i | ||||
\(934\) | 7.53668e8 | + | 8.92609e8i | 0.924995 | + | 1.09552i | ||||
\(935\) | − | 1.19840e7i | − | 0.0146611i | ||||||
\(936\) | −5.71111e8 | − | 2.24383e7i | −0.696455 | − | 0.0273629i | ||||
\(937\) | 5.16666e8 | 0.628045 | 0.314023 | − | 0.949416i | \(-0.398323\pi\) | ||||
0.314023 | + | 0.949416i | \(0.398323\pi\) | |||||||
\(938\) | −5.51337e7 | + | 4.65518e7i | −0.0668050 | + | 0.0564063i | ||||
\(939\) | 1.12205e9 | − | 6.12048e8i | 1.35524 | − | 0.739246i | ||||
\(940\) | 3.15385e7 | − | 1.85515e8i | 0.0379714 | − | 0.223355i | ||||
\(941\) | −4.18866e8 | + | 2.41833e8i | −0.502697 | + | 0.290232i | −0.729827 | − | 0.683632i | \(-0.760399\pi\) |
0.227129 | + | 0.973865i | \(0.427066\pi\) | |||||||
\(942\) | 1.30360e8 | + | 1.62209e8i | 0.155952 | + | 0.194054i | ||||
\(943\) | −8.65391e7 | − | 4.99634e7i | −0.103199 | − | 0.0595822i | ||||
\(944\) | 4.53126e7 | + | 2.39733e8i | 0.0538645 | + | 0.284978i | ||||
\(945\) | 1.99606e6 | − | 2.74026e7i | 0.00236526 | − | 0.0324711i | ||||
\(946\) | 3.29758e6 | − | 9.14729e6i | 0.00389513 | − | 0.0108049i | ||||
\(947\) | −3.40556e8 | + | 5.89861e8i | −0.400995 | + | 0.694543i | −0.993846 | − | 0.110768i | \(-0.964669\pi\) |
0.592851 | + | 0.805312i | \(0.298002\pi\) | |||||||
\(948\) | −1.40150e9 | + | 4.81563e8i | −1.64501 | + | 0.565234i | ||||
\(949\) | 7.27510e8 | − | 4.20028e8i | 0.851217 | − | 0.491451i | ||||
\(950\) | −6.19357e8 | + | 1.11170e8i | −0.722388 | + | 0.129664i | ||||
\(951\) | 6.47957e8 | + | 1.18788e9i | 0.753364 | + | 1.38112i | ||||
\(952\) | −3.03754e7 | + | 279673.i | −0.0352055 | + | 0.000324146i | ||||
\(953\) | 7.34562e7 | 0.0848691 | 0.0424346 | − | 0.999099i | \(-0.486489\pi\) | ||||
0.0424346 | + | 0.999099i | \(0.486489\pi\) | |||||||
\(954\) | 1.10736e8 | + | 4.60985e7i | 0.127539 | + | 0.0530936i | ||||
\(955\) | 3.32565e8 | 0.381827 | ||||||||
\(956\) | −4.25618e8 | − | 1.14741e9i | −0.487132 | − | 1.31325i | ||||
\(957\) | 7.67134e7 | + | 1.85973e6i | 0.0875257 | + | 0.00212185i | ||||
\(958\) | 1.24980e8 | + | 6.96294e8i | 0.142149 | + | 0.791947i | ||||
\(959\) | 6.27002e7 | − | 3.62000e7i | 0.0710908 | − | 0.0410443i | ||||
\(960\) | −1.82970e8 | + | 3.12694e8i | −0.206807 | + | 0.353431i | ||||
\(961\) | 2.15927e8 | − | 3.73996e8i | 0.243297 | − | 0.421402i | ||||
\(962\) | −1.22811e8 | + | 3.40670e8i | −0.137947 | + | 0.382656i | ||||
\(963\) | 6.41676e8 | + | 1.24736e9i | 0.718517 | + | 1.39673i | ||||
\(964\) | −6.59319e8 | − | 5.46374e8i | −0.735978 | − | 0.609900i | ||||
\(965\) | −4.29218e8 | − | 2.47809e8i | −0.477635 | − | 0.275763i | ||||
\(966\) | 5.88013e6 | + | 3.80399e7i | 0.00652312 | + | 0.0421996i | ||||
\(967\) | −4.70223e8 | + | 2.71484e8i | −0.520026 | + | 0.300237i | −0.736945 | − | 0.675953i | \(-0.763732\pi\) |
0.216920 | + | 0.976189i | \(0.430399\pi\) | |||||||
\(968\) | 7.84499e8 | + | 4.43351e8i | 0.864901 | + | 0.488789i | ||||
\(969\) | 3.03283e8 | + | 1.85043e8i | 0.333332 | + | 0.203377i | ||||
\(970\) | −1.21476e8 | + | 1.02568e8i | −0.133100 | + | 0.112382i | ||||
\(971\) | 8.13223e8 | 0.888285 | 0.444142 | − | 0.895956i | \(-0.353508\pi\) | ||||
0.444142 | + | 0.895956i | \(0.353508\pi\) | |||||||
\(972\) | −2.12947e8 | − | 8.93299e8i | −0.231885 | − | 0.972743i | ||||
\(973\) | 9.42295e7i | 0.102294i | ||||||||
\(974\) | 2.49767e8 | − | 2.10889e8i | 0.270308 | − | 0.228232i | ||||
\(975\) | 2.80050e8 | − | 4.58999e8i | 0.302150 | − | 0.495220i | ||||
\(976\) | 1.61702e8 | + | 1.87974e8i | 0.173927 | + | 0.202184i | ||||
\(977\) | 8.69795e7 | + | 1.50653e8i | 0.0932681 | + | 0.161545i | 0.908884 | − | 0.417048i | \(-0.136935\pi\) |
−0.815616 | + | 0.578593i | \(0.803602\pi\) | |||||||
\(978\) | 1.20487e8 | + | 7.79455e8i | 0.128802 | + | 0.833249i | ||||
\(979\) | 2.84796e7 | − | 4.93281e7i | 0.0303519 | − | 0.0525710i | ||||
\(980\) | −2.44365e8 | + | 2.94880e8i | −0.259634 | + | 0.313305i | ||||
\(981\) | 1.21381e9 | − | 6.24420e8i | 1.28572 | − | 0.661408i | ||||
\(982\) | −2.15574e7 | + | 5.97988e7i | −0.0227647 | + | 0.0631478i | ||||
\(983\) | −3.58394e8 | − | 2.06919e8i | −0.377311 | − | 0.217841i | 0.299337 | − | 0.954148i | \(-0.403235\pi\) |
−0.676648 | + | 0.736307i | \(0.736568\pi\) | |||||||
\(984\) | 1.02935e8 | + | 1.84643e8i | 0.108038 | + | 0.193797i | ||||
\(985\) | 1.57224e8 | + | 2.72321e8i | 0.164517 | + | 0.284952i | ||||
\(986\) | 8.12062e7 | + | 4.52419e8i | 0.0847146 | + | 0.471966i | ||||
\(987\) | −1.02504e6 | + | 4.22827e7i | −0.00106608 | + | 0.0439755i | ||||
\(988\) | 2.06145e8 | + | 5.55741e8i | 0.213748 | + | 0.576237i | ||||
\(989\) | − | 7.38038e7i | − | 0.0762939i | ||||||
\(990\) | 2.96579e7 | + | 1.23464e7i | 0.0305658 | + | 0.0127243i | ||||
\(991\) | − | 1.53139e9i | − | 1.57349i | −0.617277 | − | 0.786746i | \(-0.711764\pi\) | ||
0.617277 | − | 0.786746i | \(-0.288236\pi\) | |||||||
\(992\) | −9.23402e8 | − | 7.50985e8i | −0.945923 | − | 0.769301i | ||||
\(993\) | 1.35793e9 | − | 7.40714e8i | 1.38685 | − | 0.756490i | ||||
\(994\) | 1.06447e8 | − | 1.91065e7i | 0.108386 | − | 0.0194546i | ||||
\(995\) | −1.12401e8 | − | 1.94685e8i | −0.114104 | − | 0.197635i | ||||
\(996\) | 3.42635e8 | + | 9.97179e8i | 0.346780 | + | 1.00924i | ||||
\(997\) | −8.38081e8 | − | 4.83866e8i | −0.845669 | − | 0.488248i | 0.0135179 | − | 0.999909i | \(-0.495697\pi\) |
−0.859187 | + | 0.511661i | \(0.829030\pi\) | |||||||
\(998\) | −6.52098e7 | + | 1.80888e8i | −0.0656026 | + | 0.181977i | ||||
\(999\) | −5.80309e8 | − | 4.22709e7i | −0.582054 | − | 0.0423979i |
(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 | 72.7.p.b.43.19 | ✓ | 136 | |
8.3 | odd | 2 | inner | 72.7.p.b.43.64 | yes | 136 | |
9.4 | even | 3 | inner | 72.7.p.b.67.64 | yes | 136 | |
72.67 | odd | 6 | inner | 72.7.p.b.67.19 | yes | 136 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
72.7.p.b.43.19 | ✓ | 136 | 1.1 | even | 1 | trivial | |
72.7.p.b.43.64 | yes | 136 | 8.3 | odd | 2 | inner | |
72.7.p.b.67.19 | yes | 136 | 72.67 | odd | 6 | inner | |
72.7.p.b.67.64 | yes | 136 | 9.4 | even | 3 | inner |