Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,7,Mod(7,69)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(69, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 19]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.7");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.f (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(15.8737317698\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 10.1 | ||
Character | \(\chi\) | \(=\) | 69.10 |
Dual form | 69.7.f.a.7.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{3}{22}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −10.0393 | − | 11.5859i | −1.25491 | − | 1.44824i | −0.843804 | − | 0.536652i | \(-0.819689\pi\) |
−0.411104 | − | 0.911589i | \(-0.634857\pi\) | |||||||
\(3\) | −13.1138 | − | 8.42776i | −0.485698 | − | 0.312139i | ||||
\(4\) | −24.3387 | + | 169.280i | −0.380293 | + | 2.64499i | ||||
\(5\) | −28.9992 | − | 13.2435i | −0.231994 | − | 0.105948i | 0.296027 | − | 0.955180i | \(-0.404338\pi\) |
−0.528020 | + | 0.849232i | \(0.677066\pi\) | |||||||
\(6\) | 34.0100 | + | 236.544i | 0.157453 | + | 1.09511i | ||||
\(7\) | −177.630 | + | 604.953i | −0.517872 | + | 1.76371i | 0.119161 | + | 0.992875i | \(0.461980\pi\) |
−0.637033 | + | 0.770836i | \(0.719839\pi\) | |||||||
\(8\) | 1380.21 | − | 887.009i | 2.69573 | − | 1.73244i | ||||
\(9\) | 100.946 | + | 221.041i | 0.138472 | + | 0.303211i | ||||
\(10\) | 137.692 | + | 468.937i | 0.137692 | + | 0.468937i | ||||
\(11\) | −1091.90 | − | 946.137i | −0.820361 | − | 0.710847i | 0.139835 | − | 0.990175i | \(-0.455343\pi\) |
−0.960196 | + | 0.279328i | \(0.909888\pi\) | |||||||
\(12\) | 1745.82 | − | 2014.79i | 1.01031 | − | 1.16596i | ||||
\(13\) | 119.777 | − | 35.1698i | 0.0545185 | − | 0.0160081i | −0.254360 | − | 0.967110i | \(-0.581865\pi\) |
0.308878 | + | 0.951102i | \(0.400046\pi\) | |||||||
\(14\) | 8792.21 | − | 4015.27i | 3.20416 | − | 1.46329i | ||||
\(15\) | 268.678 | + | 418.071i | 0.0796083 | + | 0.123873i | ||||
\(16\) | −13631.2 | − | 4002.48i | −3.32793 | − | 0.977167i | ||||
\(17\) | −708.482 | + | 101.864i | −0.144206 | + | 0.0207336i | −0.214040 | − | 0.976825i | \(-0.568662\pi\) |
0.0698339 | + | 0.997559i | \(0.477753\pi\) | |||||||
\(18\) | 1547.54 | − | 3388.63i | 0.265353 | − | 0.581042i | ||||
\(19\) | 10569.1 | + | 1519.60i | 1.54091 | + | 0.221549i | 0.859798 | − | 0.510635i | \(-0.170590\pi\) |
0.681108 | + | 0.732183i | \(0.261499\pi\) | |||||||
\(20\) | 2947.66 | − | 4586.64i | 0.368457 | − | 0.573330i | ||||
\(21\) | 7427.81 | − | 6436.24i | 0.802053 | − | 0.694983i | ||||
\(22\) | 22149.2i | 2.08013i | ||||||||
\(23\) | −10036.2 | + | 6878.26i | −0.824871 | + | 0.565321i | ||||
\(24\) | −25575.4 | −1.85007 | ||||||||
\(25\) | −9566.64 | − | 11040.5i | −0.612265 | − | 0.706591i | ||||
\(26\) | −1609.95 | − | 1034.65i | −0.0915992 | − | 0.0588673i | ||||
\(27\) | 539.088 | − | 3749.44i | 0.0273885 | − | 0.190491i | ||||
\(28\) | −98082.9 | − | 44793.0i | −4.46806 | − | 2.04050i | ||||
\(29\) | 1600.51 | + | 11131.8i | 0.0656242 | + | 0.456427i | 0.995966 | + | 0.0897327i | \(0.0286013\pi\) |
−0.930342 | + | 0.366694i | \(0.880490\pi\) | |||||||
\(30\) | 2146.41 | − | 7310.01i | 0.0794968 | − | 0.270741i | ||||
\(31\) | −29692.1 | + | 19081.9i | −0.996680 | + | 0.640527i | −0.933913 | − | 0.357501i | \(-0.883629\pi\) |
−0.0627670 | + | 0.998028i | \(0.519992\pi\) | |||||||
\(32\) | 46855.1 | + | 102598.i | 1.42990 | + | 3.13105i | ||||
\(33\) | 6345.20 | + | 21609.8i | 0.176565 | + | 0.601324i | ||||
\(34\) | 8292.83 | + | 7185.78i | 0.210992 | + | 0.182826i | ||||
\(35\) | 13162.8 | − | 15190.7i | 0.307005 | − | 0.354302i | ||||
\(36\) | −39874.6 | + | 11708.2i | −0.854650 | + | 0.250948i | ||||
\(37\) | 36549.2 | − | 16691.5i | 0.721560 | − | 0.329526i | −0.0205634 | − | 0.999789i | \(-0.506546\pi\) |
0.742124 | + | 0.670263i | \(0.233819\pi\) | |||||||
\(38\) | −88499.6 | − | 137708.i | −1.61284 | − | 2.50962i | ||||
\(39\) | −1867.14 | − | 548.242i | −0.0314763 | − | 0.00924227i | ||||
\(40\) | −51772.2 | + | 7443.71i | −0.808940 | + | 0.116308i | ||||
\(41\) | 6825.48 | − | 14945.7i | 0.0990334 | − | 0.216853i | −0.853630 | − | 0.520880i | \(-0.825604\pi\) |
0.952663 | + | 0.304027i | \(0.0983313\pi\) | |||||||
\(42\) | −149139. | − | 21443.0i | −2.01300 | − | 0.289426i | ||||
\(43\) | 60768.4 | − | 94557.5i | 0.764315 | − | 1.18930i | −0.212905 | − | 0.977073i | \(-0.568293\pi\) |
0.977221 | − | 0.212225i | \(-0.0680710\pi\) | |||||||
\(44\) | 186737. | − | 161809.i | 2.19216 | − | 1.89952i | ||||
\(45\) | − | 7746.88i | − | 0.0850137i | ||||||
\(46\) | 180447. | + | 47226.0i | 1.85386 | + | 0.485186i | ||||
\(47\) | 83870.4 | 0.807821 | 0.403910 | − | 0.914799i | \(-0.367651\pi\) | ||||
0.403910 | + | 0.914799i | \(0.367651\pi\) | |||||||
\(48\) | 145025. | + | 167368.i | 1.31135 | + | 1.51338i | ||||
\(49\) | −235443. | − | 151310.i | −2.00123 | − | 1.28611i | ||||
\(50\) | −31872.3 | + | 221677.i | −0.254978 | + | 1.77341i | ||||
\(51\) | 10149.4 | + | 4635.08i | 0.0765122 | + | 0.0349419i | ||||
\(52\) | 3038.30 | + | 21131.8i | 0.0216083 | + | 0.150289i | ||||
\(53\) | 55538.0 | − | 189145.i | 0.373047 | − | 1.27048i | −0.532571 | − | 0.846385i | \(-0.678774\pi\) |
0.905618 | − | 0.424095i | \(-0.139408\pi\) | |||||||
\(54\) | −48852.8 | + | 31395.8i | −0.310247 | + | 0.199384i | ||||
\(55\) | 19134.1 | + | 41897.8i | 0.115006 | + | 0.251828i | ||||
\(56\) | 291431. | + | 992523.i | 1.65948 | + | 5.65167i | ||||
\(57\) | −125794. | − | 109001.i | −0.679261 | − | 0.588583i | ||||
\(58\) | 112904. | − | 130298.i | 0.578663 | − | 0.667813i | ||||
\(59\) | −96494.9 | + | 28333.5i | −0.469838 | + | 0.137957i | −0.508077 | − | 0.861312i | \(-0.669643\pi\) |
0.0382388 | + | 0.999269i | \(0.487825\pi\) | |||||||
\(60\) | −77310.2 | + | 35306.4i | −0.357918 | + | 0.163456i | ||||
\(61\) | −5411.12 | − | 8419.86i | −0.0238395 | − | 0.0370950i | 0.829129 | − | 0.559057i | \(-0.188837\pi\) |
−0.852969 | + | 0.521962i | \(0.825200\pi\) | |||||||
\(62\) | 519169. | + | 152442.i | 2.17838 | + | 0.639630i | ||||
\(63\) | −151650. | + | 21804.0i | −0.606487 | + | 0.0871996i | ||||
\(64\) | 340600. | − | 745809.i | 1.29928 | − | 2.84504i | ||||
\(65\) | −3939.21 | − | 566.373i | −0.0143440 | − | 0.00206235i | ||||
\(66\) | 186668. | − | 290461.i | 0.649289 | − | 1.01031i | ||||
\(67\) | −3832.67 | + | 3321.03i | −0.0127431 | + | 0.0110420i | −0.661209 | − | 0.750202i | \(-0.729956\pi\) |
0.648466 | + | 0.761244i | \(0.275411\pi\) | |||||||
\(68\) | − | 122411.i | − | 0.389308i | ||||||
\(69\) | 189582. | − | 5617.77i | 0.577097 | − | 0.0171008i | ||||
\(70\) | −308143. | −0.898377 | ||||||||
\(71\) | −426158. | − | 491813.i | −1.19068 | − | 1.37412i | −0.910152 | − | 0.414274i | \(-0.864036\pi\) |
−0.280529 | − | 0.959845i | \(-0.590510\pi\) | |||||||
\(72\) | 335392. | + | 215543.i | 0.898576 | + | 0.577480i | ||||
\(73\) | 90950.1 | − | 632572.i | 0.233795 | − | 1.62608i | −0.447651 | − | 0.894208i | \(-0.647739\pi\) |
0.681446 | − | 0.731869i | \(-0.261352\pi\) | |||||||
\(74\) | −560313. | − | 255886.i | −1.38272 | − | 0.631469i | ||||
\(75\) | 32408.8 | + | 225408.i | 0.0768210 | + | 0.534302i | ||||
\(76\) | −514476. | + | 1.75214e6i | −1.17199 | + | 3.99143i | ||||
\(77\) | 766323. | − | 492486.i | 1.67857 | − | 1.07875i | ||||
\(78\) | 12392.8 | + | 27136.5i | 0.0261148 | + | 0.0571834i | ||||
\(79\) | 121586. | + | 414084.i | 0.246605 | + | 0.839861i | 0.986022 | + | 0.166613i | \(0.0532830\pi\) |
−0.739417 | + | 0.673248i | \(0.764899\pi\) | |||||||
\(80\) | 342287. | + | 296593.i | 0.668529 | + | 0.579284i | ||||
\(81\) | −38668.9 | + | 44626.3i | −0.0727623 | + | 0.0839722i | ||||
\(82\) | −241683. | + | 70964.4i | −0.438333 | + | 0.128706i | ||||
\(83\) | 308292. | − | 140792.i | 0.539173 | − | 0.246232i | −0.127165 | − | 0.991882i | \(-0.540588\pi\) |
0.666339 | + | 0.745649i | \(0.267861\pi\) | |||||||
\(84\) | 908740. | + | 1.41403e6i | 1.53321 | + | 2.38572i | ||||
\(85\) | 21894.5 | + | 6428.79i | 0.0356515 | + | 0.0104682i | ||||
\(86\) | −1.70561e6 | + | 245229.i | −2.68153 | + | 0.385546i | ||||
\(87\) | 72827.2 | − | 159469.i | 0.110595 | − | 0.242169i | ||||
\(88\) | −2.34629e6 | − | 337345.i | −3.44297 | − | 0.495024i | ||||
\(89\) | −385386. | + | 599672.i | −0.546671 | + | 0.850636i | −0.999154 | − | 0.0411367i | \(-0.986902\pi\) |
0.452483 | + | 0.891773i | \(0.350538\pi\) | |||||||
\(90\) | −89754.7 | + | 77772.9i | −0.123120 | + | 0.106684i | ||||
\(91\) | 78706.8i | 0.104445i | ||||||||
\(92\) | −920081. | − | 1.86633e6i | −1.18158 | − | 2.39677i | ||||
\(93\) | 550195. | 0.684019 | ||||||||
\(94\) | −841997. | − | 971716.i | −1.01374 | − | 1.16992i | ||||
\(95\) | −286370. | − | 184039.i | −0.334008 | − | 0.214654i | ||||
\(96\) | 250223. | − | 1.74034e6i | 0.282823 | − | 1.96707i | ||||
\(97\) | 521758. | + | 238279.i | 0.571681 | + | 0.261078i | 0.680212 | − | 0.733015i | \(-0.261887\pi\) |
−0.108531 | + | 0.994093i | \(0.534615\pi\) | |||||||
\(98\) | 610607. | + | 4.24686e6i | 0.648759 | + | 4.51222i | ||||
\(99\) | 98911.9 | − | 336863.i | 0.101940 | − | 0.347174i | ||||
\(100\) | 2.10177e6 | − | 1.35072e6i | 2.10177 | − | 1.35072i | ||||
\(101\) | −395477. | − | 865975.i | −0.383846 | − | 0.840507i | −0.998656 | − | 0.0518308i | \(-0.983494\pi\) |
0.614809 | − | 0.788676i | \(-0.289233\pi\) | |||||||
\(102\) | −48190.9 | − | 164123.i | −0.0454114 | − | 0.154657i | ||||
\(103\) | 1.10028e6 | + | 953394.i | 1.00691 | + | 0.872491i | 0.991852 | − | 0.127396i | \(-0.0406619\pi\) |
0.0150560 | + | 0.999887i | \(0.495207\pi\) | |||||||
\(104\) | 134122. | − | 154785.i | 0.119234 | − | 0.137603i | ||||
\(105\) | −300639. | + | 88275.5i | −0.259703 | + | 0.0762557i | ||||
\(106\) | −2.74898e6 | + | 1.25542e6i | −2.30810 | + | 1.05407i | ||||
\(107\) | −634150. | − | 986757.i | −0.517656 | − | 0.805488i | 0.479755 | − | 0.877402i | \(-0.340725\pi\) |
−0.997411 | + | 0.0719145i | \(0.977089\pi\) | |||||||
\(108\) | 621583. | + | 182513.i | 0.493432 | + | 0.144885i | ||||
\(109\) | 650010. | − | 93457.3i | 0.501927 | − | 0.0721662i | 0.113299 | − | 0.993561i | \(-0.463858\pi\) |
0.388628 | + | 0.921395i | \(0.372949\pi\) | |||||||
\(110\) | 293333. | − | 642309.i | 0.220385 | − | 0.482576i | ||||
\(111\) | −619972. | − | 89138.5i | −0.453318 | − | 0.0651773i | ||||
\(112\) | 4.84262e6 | − | 7.53527e6i | 3.44688 | − | 5.36345i | ||||
\(113\) | 725928. | − | 629020.i | 0.503105 | − | 0.435943i | −0.365968 | − | 0.930628i | \(-0.619262\pi\) |
0.869072 | + | 0.494685i | \(0.164717\pi\) | |||||||
\(114\) | 2.55174e6i | 1.72235i | ||||||||
\(115\) | 382134. | − | 66549.7i | 0.251259 | − | 0.0437575i | ||||
\(116\) | −1.92334e6 | −1.23220 | ||||||||
\(117\) | 19865.0 | + | 22925.4i | 0.0124031 | + | 0.0143139i | ||||
\(118\) | 1.29701e6 | + | 833535.i | 0.789398 | + | 0.507315i | ||||
\(119\) | 64224.7 | − | 446693.i | 0.0381120 | − | 0.265075i | ||||
\(120\) | 741666. | + | 338707.i | 0.429205 | + | 0.196011i | ||||
\(121\) | 44951.8 | + | 312647.i | 0.0253741 | + | 0.176481i | ||||
\(122\) | −43228.3 | + | 147222.i | −0.0238061 | + | 0.0810762i | ||||
\(123\) | −215467. | + | 138472.i | −0.115789 | + | 0.0744128i | ||||
\(124\) | −2.50752e6 | − | 5.49070e6i | −1.31516 | − | 2.87980i | ||||
\(125\) | 271549. | + | 924811.i | 0.139033 | + | 0.473503i | ||||
\(126\) | 1.77508e6 | + | 1.53811e6i | 0.887371 | + | 0.768911i | ||||
\(127\) | 968094. | − | 1.11724e6i | 0.472614 | − | 0.545425i | −0.468523 | − | 0.883451i | \(-0.655214\pi\) |
0.941137 | + | 0.338026i | \(0.109759\pi\) | |||||||
\(128\) | −5.13404e6 | + | 1.50749e6i | −2.44810 | + | 0.718827i | ||||
\(129\) | −1.59382e6 | + | 727871.i | −0.742453 | + | 0.339067i | ||||
\(130\) | 32984.8 | + | 51325.4i | 0.0150136 | + | 0.0233616i | ||||
\(131\) | 3.15783e6 | + | 927222.i | 1.40467 | + | 0.412449i | 0.894285 | − | 0.447497i | \(-0.147684\pi\) |
0.510386 | + | 0.859946i | \(0.329503\pi\) | |||||||
\(132\) | −3.81253e6 | + | 548159.i | −1.65764 | + | 0.238333i | ||||
\(133\) | −2.79667e6 | + | 6.12386e6i | −1.18874 | + | 2.60298i | ||||
\(134\) | 76954.3 | + | 11064.4i | 0.0319829 | + | 0.00459845i | ||||
\(135\) | −65288.8 | + | 101591.i | −0.0265361 | + | 0.0412910i | ||||
\(136\) | −887502. | + | 769025.i | −0.352819 | + | 0.305720i | ||||
\(137\) | − | 2.81744e6i | − | 1.09570i | −0.836575 | − | 0.547852i | \(-0.815446\pi\) | ||
0.836575 | − | 0.547852i | \(-0.184554\pi\) | |||||||
\(138\) | −1.96835e6 | − | 2.14008e6i | −0.748969 | − | 0.814315i | ||||
\(139\) | 1.79486e6 | 0.668324 | 0.334162 | − | 0.942516i | \(-0.391547\pi\) | ||||
0.334162 | + | 0.942516i | \(0.391547\pi\) | |||||||
\(140\) | 2.25111e6 | + | 2.59792e6i | 0.820376 | + | 0.946764i | ||||
\(141\) | −1.09986e6 | − | 706839.i | −0.392357 | − | 0.252152i | ||||
\(142\) | −1.41979e6 | + | 9.87487e6i | −0.495861 | + | 3.44879i | ||||
\(143\) | −164060. | − | 74923.8i | −0.0561042 | − | 0.0256219i | ||||
\(144\) | −491302. | − | 3.41708e6i | −0.164536 | − | 1.14437i | ||||
\(145\) | 101010. | − | 344009.i | 0.0331330 | − | 0.112841i | ||||
\(146\) | −8.24200e6 | + | 5.29681e6i | −2.64834 | + | 1.70199i | ||||
\(147\) | 1.81236e6 | + | 3.96851e6i | 0.570548 | + | 1.24933i | ||||
\(148\) | 1.93596e6 | + | 6.59328e6i | 0.597189 | + | 2.03384i | ||||
\(149\) | 4.10532e6 | + | 3.55728e6i | 1.24105 | + | 1.07537i | 0.994336 | + | 0.106283i | \(0.0338949\pi\) |
0.246710 | + | 0.969089i | \(0.420651\pi\) | |||||||
\(150\) | 2.28620e6 | − | 2.63842e6i | 0.677394 | − | 0.781754i | ||||
\(151\) | 3.51616e6 | − | 1.03244e6i | 1.02126 | − | 0.299870i | 0.272110 | − | 0.962266i | \(-0.412279\pi\) |
0.749154 | + | 0.662396i | \(0.230460\pi\) | |||||||
\(152\) | 1.59355e7 | − | 7.27748e6i | 4.53768 | − | 2.07229i | ||||
\(153\) | −94034.5 | − | 146321.i | −0.0262551 | − | 0.0408537i | ||||
\(154\) | −1.33992e7 | − | 3.93437e6i | −3.66874 | − | 1.07724i | ||||
\(155\) | 1.11376e6 | − | 160134.i | 0.299086 | − | 0.0430021i | ||||
\(156\) | 138250. | − | 302725.i | 0.0364159 | − | 0.0797398i | ||||
\(157\) | −4.96302e6 | − | 713574.i | −1.28247 | − | 0.184391i | −0.532821 | − | 0.846228i | \(-0.678868\pi\) |
−0.749648 | + | 0.661837i | \(0.769777\pi\) | |||||||
\(158\) | 3.57691e6 | − | 5.56578e6i | 0.906853 | − | 1.41109i | ||||
\(159\) | −2.32239e6 | + | 2.01236e6i | −0.577754 | + | 0.500627i | ||||
\(160\) | − | 3.59579e6i | − | 0.877879i | ||||||
\(161\) | −2.37829e6 | − | 7.29322e6i | −0.569885 | − | 1.74760i | ||||
\(162\) | 905243. | 0.212922 | ||||||||
\(163\) | −2.87854e6 | − | 3.32201e6i | −0.664676 | − | 0.767076i | 0.318858 | − | 0.947803i | \(-0.396701\pi\) |
−0.983533 | + | 0.180726i | \(0.942155\pi\) | |||||||
\(164\) | 2.36388e6 | + | 1.51917e6i | 0.535913 | + | 0.344410i | ||||
\(165\) | 102183. | − | 710699.i | 0.0227472 | − | 0.158210i | ||||
\(166\) | −4.72624e6 | − | 2.15840e6i | −1.03322 | − | 0.471854i | ||||
\(167\) | 286445. | + | 1.99227e6i | 0.0615023 | + | 0.427758i | 0.997189 | + | 0.0749262i | \(0.0238721\pi\) |
−0.935687 | + | 0.352832i | \(0.885219\pi\) | |||||||
\(168\) | 4.54296e6 | − | 1.54719e7i | 0.958101 | − | 3.26299i | ||||
\(169\) | −4.04746e6 | + | 2.60114e6i | −0.838538 | + | 0.538895i | ||||
\(170\) | −145321. | − | 318208.i | −0.0295788 | − | 0.0647686i | ||||
\(171\) | 731010. | + | 2.48959e6i | 0.146196 | + | 0.497897i | ||||
\(172\) | 1.45276e7 | + | 1.25883e7i | 2.85502 | + | 2.47389i | ||||
\(173\) | 2.12917e6 | − | 2.45719e6i | 0.411217 | − | 0.474570i | −0.511924 | − | 0.859031i | \(-0.671067\pi\) |
0.923141 | + | 0.384461i | \(0.125613\pi\) | |||||||
\(174\) | −2.57873e6 | + | 757183.i | −0.489506 | + | 0.143732i | ||||
\(175\) | 8.37830e6 | − | 3.82624e6i | 1.56330 | − | 0.713934i | ||||
\(176\) | 1.10970e7 | + | 1.72673e7i | 2.03549 | + | 3.16728i | ||||
\(177\) | 1.50421e6 | + | 441675.i | 0.271261 | + | 0.0796495i | ||||
\(178\) | 1.08167e7 | − | 1.55521e6i | 1.91795 | − | 0.275759i | ||||
\(179\) | 1.59348e6 | − | 3.48924e6i | 0.277836 | − | 0.608376i | −0.718345 | − | 0.695687i | \(-0.755100\pi\) |
0.996181 | + | 0.0873109i | \(0.0278274\pi\) | |||||||
\(180\) | 1.31139e6 | + | 188549.i | 0.224861 | + | 0.0323301i | ||||
\(181\) | −2.71732e6 | + | 4.22824e6i | −0.458253 | + | 0.713056i | −0.991095 | − | 0.133159i | \(-0.957488\pi\) |
0.532842 | + | 0.846215i | \(0.321124\pi\) | |||||||
\(182\) | 911891. | − | 790158.i | 0.151262 | − | 0.131069i | ||||
\(183\) | 156020.i | 0.0254582i | ||||||||
\(184\) | −7.75102e6 | + | 1.83957e7i | −1.24424 | + | 2.95299i | ||||
\(185\) | −1.28095e6 | −0.202310 | ||||||||
\(186\) | −5.52355e6 | − | 6.37452e6i | −0.858380 | − | 0.990624i | ||||
\(187\) | 869970. | + | 559096.i | 0.133039 | + | 0.0854991i | ||||
\(188\) | −2.04130e6 | + | 1.41975e7i | −0.307208 | + | 2.13668i | ||||
\(189\) | 2.17248e6 | + | 992136.i | 0.321788 | + | 0.146956i | ||||
\(190\) | 742682. | + | 5.16547e6i | 0.108279 | + | 0.753094i | ||||
\(191\) | 1.79635e6 | − | 6.11781e6i | 0.257805 | − | 0.878003i | −0.724271 | − | 0.689516i | \(-0.757823\pi\) |
0.982076 | − | 0.188487i | \(-0.0603583\pi\) | |||||||
\(192\) | −1.07521e7 | + | 6.90993e6i | −1.51911 | + | 0.976271i | ||||
\(193\) | −499598. | − | 1.09397e6i | −0.0694943 | − | 0.152171i | 0.871697 | − | 0.490045i | \(-0.163020\pi\) |
−0.941191 | + | 0.337874i | \(0.890292\pi\) | |||||||
\(194\) | −2.47738e6 | − | 8.43719e6i | −0.339303 | − | 1.15556i | ||||
\(195\) | 46885.0 | + | 40626.1i | 0.00632310 | + | 0.00547899i | ||||
\(196\) | 3.13441e7 | − | 3.61730e7i | 4.16282 | − | 4.80415i | ||||
\(197\) | −2.14023e6 | + | 628429.i | −0.279938 | + | 0.0821973i | −0.418688 | − | 0.908130i | \(-0.637510\pi\) |
0.138750 | + | 0.990328i | \(0.455692\pi\) | |||||||
\(198\) | −4.89587e6 | + | 2.23587e6i | −0.630717 | + | 0.288039i | ||||
\(199\) | −4.56747e6 | − | 7.10712e6i | −0.579584 | − | 0.901850i | 0.420401 | − | 0.907338i | \(-0.361889\pi\) |
−0.999985 | + | 0.00548834i | \(0.998253\pi\) | |||||||
\(200\) | −2.29970e7 | − | 6.75253e6i | −2.87462 | − | 0.844066i | ||||
\(201\) | 78249.8 | − | 11250.6i | 0.00963596 | − | 0.00138544i | ||||
\(202\) | −6.06282e6 | + | 1.32757e7i | −0.735564 | + | 1.61066i | ||||
\(203\) | −7.01851e6 | − | 1.00911e6i | −0.838990 | − | 0.120629i | ||||
\(204\) | −1.03165e6 | + | 1.60528e6i | −0.121518 | + | 0.189086i | ||||
\(205\) | −395867. | + | 343021.i | −0.0459502 | + | 0.0398161i | ||||
\(206\) | − | 2.23191e7i | − | 2.55314i | ||||||
\(207\) | −2.53349e6 | − | 1.52408e6i | −0.285633 | − | 0.171829i | ||||
\(208\) | −1.77347e6 | −0.197076 | ||||||||
\(209\) | −1.01026e7 | − | 1.16590e7i | −1.10661 | − | 1.27710i | ||||
\(210\) | 4.04094e6 | + | 2.59696e6i | 0.436340 | + | 0.280419i | ||||
\(211\) | −845772. | + | 5.88247e6i | −0.0900339 | + | 0.626199i | 0.893980 | + | 0.448107i | \(0.147902\pi\) |
−0.984014 | + | 0.178092i | \(0.943007\pi\) | |||||||
\(212\) | 3.06667e7 | + | 1.40050e7i | 3.21854 | + | 1.46986i | ||||
\(213\) | 1.44369e6 | + | 1.00411e7i | 0.149395 | + | 1.03907i | ||||
\(214\) | −5.06609e6 | + | 1.72535e7i | −0.516930 | + | 1.76050i | ||||
\(215\) | −3.01451e6 | + | 1.93731e6i | −0.303320 | + | 0.194932i | ||||
\(216\) | −2.58173e6 | − | 5.65320e6i | −0.256182 | − | 0.560961i | ||||
\(217\) | −6.26947e6 | − | 2.13518e7i | −0.613552 | − | 2.08957i | ||||
\(218\) | −7.60840e6 | − | 6.59272e6i | −0.734385 | − | 0.636349i | ||||
\(219\) | −6.52386e6 | + | 7.52894e6i | −0.621116 | + | 0.716806i | ||||
\(220\) | −7.55814e6 | + | 2.21927e6i | −0.709818 | + | 0.208421i | ||||
\(221\) | −81277.5 | + | 37118.2i | −0.00752997 | + | 0.00343882i | ||||
\(222\) | 5.19131e6 | + | 8.07783e6i | 0.474480 | + | 0.738305i | ||||
\(223\) | 1.89304e7 | + | 5.55848e6i | 1.70705 | + | 0.501235i | 0.982227 | − | 0.187699i | \(-0.0601030\pi\) |
0.724824 | + | 0.688934i | \(0.241921\pi\) | |||||||
\(224\) | −7.03900e7 | + | 1.01206e7i | −6.26278 | + | 0.900452i | ||||
\(225\) | 1.47468e6 | − | 3.22911e6i | 0.129465 | − | 0.283488i | ||||
\(226\) | −1.45756e7 | − | 2.09565e6i | −1.26270 | − | 0.181549i | ||||
\(227\) | −229589. | + | 357247.i | −0.0196279 | + | 0.0305416i | −0.850929 | − | 0.525281i | \(-0.823960\pi\) |
0.831301 | + | 0.555823i | \(0.187597\pi\) | |||||||
\(228\) | 2.15134e7 | − | 1.86415e7i | 1.81512 | − | 1.57281i | ||||
\(229\) | − | 5.82275e6i | − | 0.484866i | −0.970168 | − | 0.242433i | \(-0.922055\pi\) | ||
0.970168 | − | 0.242433i | \(-0.0779455\pi\) | |||||||
\(230\) | −4.60738e6 | − | 3.75927e6i | −0.378679 | − | 0.308972i | ||||
\(231\) | −1.42000e7 | −1.15200 | ||||||||
\(232\) | 1.20830e7 | + | 1.39446e7i | 0.967636 | + | 1.11671i | ||||
\(233\) | 1.00487e7 | + | 6.45794e6i | 0.794409 | + | 0.510536i | 0.873787 | − | 0.486309i | \(-0.161657\pi\) |
−0.0793781 | + | 0.996845i | \(0.525293\pi\) | |||||||
\(234\) | 66182.2 | − | 460308.i | 0.00516528 | − | 0.0359253i | ||||
\(235\) | −2.43217e6 | − | 1.11074e6i | −0.187409 | − | 0.0855869i | ||||
\(236\) | −2.44771e6 | − | 1.70242e7i | −0.186219 | − | 1.29518i | ||||
\(237\) | 1.89534e6 | − | 6.45493e6i | 0.142378 | − | 0.484894i | ||||
\(238\) | −5.82012e6 | + | 3.74036e6i | −0.431719 | + | 0.277449i | ||||
\(239\) | 2.61004e6 | + | 5.71520e6i | 0.191185 | + | 0.418637i | 0.980814 | − | 0.194948i | \(-0.0624539\pi\) |
−0.789628 | + | 0.613585i | \(0.789727\pi\) | |||||||
\(240\) | −1.98908e6 | − | 6.77419e6i | −0.143886 | − | 0.490031i | ||||
\(241\) | −2.28444e6 | − | 1.97948e6i | −0.163203 | − | 0.141416i | 0.569431 | − | 0.822039i | \(-0.307164\pi\) |
−0.732634 | + | 0.680623i | \(0.761709\pi\) | |||||||
\(242\) | 3.17102e6 | − | 3.65955e6i | 0.223745 | − | 0.258215i | ||||
\(243\) | 883197. | − | 259330.i | 0.0615515 | − | 0.0180732i | ||||
\(244\) | 1.55701e6 | − | 711063.i | 0.107182 | − | 0.0489484i | ||||
\(245\) | 4.82379e6 | + | 7.50596e6i | 0.328012 | + | 0.510397i | ||||
\(246\) | 3.76746e6 | + | 1.10623e6i | 0.253071 | + | 0.0743085i | ||||
\(247\) | 1.31938e6 | − | 189698.i | 0.0875544 | − | 0.0125884i | ||||
\(248\) | −2.40555e7 | + | 5.26743e7i | −1.57710 | + | 3.45337i | ||||
\(249\) | −5.22946e6 | − | 751883.i | −0.338734 | − | 0.0487026i | ||||
\(250\) | 7.98863e6 | − | 1.24306e7i | 0.511273 | − | 0.795556i | ||||
\(251\) | −3.28130e6 | + | 2.84326e6i | −0.207503 | + | 0.179802i | −0.752412 | − | 0.658693i | \(-0.771110\pi\) |
0.544909 | + | 0.838495i | \(0.316564\pi\) | |||||||
\(252\) | − | 2.62020e7i | − | 1.63732i | ||||||
\(253\) | 1.74663e7 | + | 1.98525e6i | 1.07855 | + | 0.122590i | ||||
\(254\) | −2.26632e7 | −1.38299 | ||||||||
\(255\) | −232940. | − | 268827.i | −0.0140483 | − | 0.0162126i | ||||
\(256\) | 2.48639e7 | + | 1.59790e7i | 1.48200 | + | 0.952425i | ||||
\(257\) | 3.81136e6 | − | 2.65086e7i | 0.224533 | − | 1.56166i | −0.496051 | − | 0.868294i | \(-0.665217\pi\) |
0.720584 | − | 0.693368i | \(-0.243874\pi\) | |||||||
\(258\) | 2.44338e7 | + | 1.11585e7i | 1.42276 | + | 0.649753i | ||||
\(259\) | 3.60531e6 | + | 2.50755e7i | 0.207512 | + | 1.44328i | ||||
\(260\) | 191751. | − | 653044.i | 0.0109098 | − | 0.0371554i | ||||
\(261\) | −2.29901e6 | + | 1.47749e6i | −0.129306 | + | 0.0831001i | ||||
\(262\) | −2.09595e7 | − | 4.58950e7i | −1.16541 | − | 2.55189i | ||||
\(263\) | 3.94177e6 | + | 1.34244e7i | 0.216682 | + | 0.737952i | 0.994052 | + | 0.108908i | \(0.0347354\pi\) |
−0.777369 | + | 0.629044i | \(0.783446\pi\) | |||||||
\(264\) | 2.79258e7 | + | 2.41978e7i | 1.51773 | + | 1.31512i | ||||
\(265\) | −4.11550e6 | + | 4.74954e6i | −0.221149 | + | 0.255220i | ||||
\(266\) | 9.90271e7 | − | 2.90770e7i | 5.26150 | − | 1.54491i | ||||
\(267\) | 1.01078e7 | − | 4.61607e6i | 0.531034 | − | 0.242515i | ||||
\(268\) | −468900. | − | 729622.i | −0.0243599 | − | 0.0379047i | ||||
\(269\) | −6.08945e6 | − | 1.78802e6i | −0.312839 | − | 0.0918579i | 0.121544 | − | 0.992586i | \(-0.461215\pi\) |
−0.434383 | + | 0.900728i | \(0.643034\pi\) | |||||||
\(270\) | 1.83248e6 | − | 263471.i | 0.0930996 | − | 0.0133857i | ||||
\(271\) | −1.24964e7 | + | 2.73632e7i | −0.627879 | + | 1.37486i | 0.281769 | + | 0.959482i | \(0.409079\pi\) |
−0.909648 | + | 0.415380i | \(0.863649\pi\) | |||||||
\(272\) | 1.00652e7 | + | 1.44715e6i | 0.500166 | + | 0.0719130i | ||||
\(273\) | 663322. | − | 1.03215e6i | 0.0326014 | − | 0.0507288i | ||||
\(274\) | −3.26427e7 | + | 2.82850e7i | −1.58684 | + | 1.37501i | ||||
\(275\) | 2.11065e7i | 1.01489i | ||||||||
\(276\) | −3.66320e6 | + | 3.22290e7i | −0.174234 | + | 1.53292i | ||||
\(277\) | 4.87114e6 | 0.229188 | 0.114594 | − | 0.993412i | \(-0.463443\pi\) | ||||
0.114594 | + | 0.993412i | \(0.463443\pi\) | |||||||
\(278\) | −1.80191e7 | − | 2.07952e7i | −0.838685 | − | 0.967894i | ||||
\(279\) | −7.21518e6 | − | 4.63691e6i | −0.332227 | − | 0.213509i | ||||
\(280\) | 4.69320e6 | − | 3.26419e7i | 0.213794 | − | 1.48697i | ||||
\(281\) | −2.56383e7 | − | 1.17086e7i | −1.15550 | − | 0.527700i | −0.256889 | − | 0.966441i | \(-0.582697\pi\) |
−0.898614 | + | 0.438741i | \(0.855425\pi\) | |||||||
\(282\) | 2.85243e6 | + | 1.98391e7i | 0.127194 | + | 0.884655i | ||||
\(283\) | 3.17898e6 | − | 1.08266e7i | 0.140258 | − | 0.477675i | −0.859163 | − | 0.511702i | \(-0.829015\pi\) |
0.999421 | + | 0.0340270i | \(0.0108332\pi\) | |||||||
\(284\) | 9.36260e7 | − | 6.01698e7i | 4.08735 | − | 2.62678i | ||||
\(285\) | 2.20438e6 | + | 4.82691e6i | 0.0952250 | + | 0.208514i | ||||
\(286\) | 778982. | + | 2.65297e6i | 0.0332988 | + | 0.113405i | ||||
\(287\) | 7.82904e6 | + | 6.78390e6i | 0.331179 | + | 0.286968i | ||||
\(288\) | −1.79486e7 | + | 2.07137e7i | −0.751367 | + | 0.867124i | ||||
\(289\) | −2.26683e7 | + | 6.65600e6i | −0.939128 | + | 0.275753i | ||||
\(290\) | −4.99973e6 | + | 2.28330e6i | −0.205000 | + | 0.0936201i | ||||
\(291\) | −4.83410e6 | − | 7.52200e6i | −0.196172 | − | 0.305249i | ||||
\(292\) | 1.04868e8 | + | 3.07920e7i | 4.21205 | + | 1.23677i | ||||
\(293\) | −4.16530e7 | + | 5.98880e6i | −1.65594 | + | 0.238088i | −0.905956 | − | 0.423372i | \(-0.860846\pi\) |
−0.749981 | + | 0.661460i | \(0.769937\pi\) | |||||||
\(294\) | 2.77841e7 | − | 6.08388e7i | 1.09334 | − | 2.39408i | ||||
\(295\) | 3.17351e6 | + | 456282.i | 0.123616 | + | 0.0177733i | ||||
\(296\) | 3.56402e7 | − | 5.54572e7i | 1.37425 | − | 2.13837i | ||||
\(297\) | −4.13611e6 | + | 3.58396e6i | −0.157879 | + | 0.136803i | ||||
\(298\) | − | 8.32763e7i | − | 3.14683i | ||||||
\(299\) | −960201. | + | 1.17683e6i | −0.0359210 | + | 0.0440251i | ||||
\(300\) | −3.89459e7 | −1.44244 | ||||||||
\(301\) | 4.64085e7 | + | 5.35583e7i | 1.70176 | + | 1.96394i | ||||
\(302\) | −4.72614e7 | − | 3.03731e7i | −1.71588 | − | 1.10273i | ||||
\(303\) | −2.11199e6 | + | 1.46892e7i | −0.0759215 | + | 0.528046i | ||||
\(304\) | −1.37987e8 | − | 6.30165e7i | −4.91153 | − | 2.24302i | ||||
\(305\) | 45409.7 | + | 315831.i | 0.00160048 | + | 0.0111316i | ||||
\(306\) | −751222. | + | 2.55843e6i | −0.0262183 | + | 0.0892912i | ||||
\(307\) | 9.33394e6 | − | 5.99856e6i | 0.322589 | − | 0.207316i | −0.369316 | − | 0.929304i | \(-0.620408\pi\) |
0.691905 | + | 0.721988i | \(0.256772\pi\) | |||||||
\(308\) | 6.47165e7 | + | 1.41709e8i | 2.21494 | + | 4.85005i | ||||
\(309\) | −6.39387e6 | − | 2.17755e7i | −0.216715 | − | 0.738062i | ||||
\(310\) | −1.30366e7 | − | 1.12963e7i | −0.437602 | − | 0.379185i | ||||
\(311\) | −2.88408e7 | + | 3.32841e7i | −0.958796 | + | 1.10651i | 0.0354480 | + | 0.999372i | \(0.488714\pi\) |
−0.994244 | + | 0.107138i | \(0.965831\pi\) | |||||||
\(312\) | −3.06335e6 | + | 899480.i | −0.100863 | + | 0.0296161i | ||||
\(313\) | 3.46188e6 | − | 1.58099e6i | 0.112896 | − | 0.0515579i | −0.358166 | − | 0.933658i | \(-0.616598\pi\) |
0.471062 | + | 0.882100i | \(0.343871\pi\) | |||||||
\(314\) | 4.15576e7 | + | 6.46649e7i | 1.34234 | + | 2.08872i | ||||
\(315\) | 4.68650e6 | + | 1.37608e6i | 0.149940 | + | 0.0440263i | ||||
\(316\) | −7.30552e7 | + | 1.05038e7i | −2.31521 | + | 0.332877i | ||||
\(317\) | 5.93648e6 | − | 1.29991e7i | 0.186359 | − | 0.408070i | −0.793274 | − | 0.608865i | \(-0.791625\pi\) |
0.979633 | + | 0.200795i | \(0.0643525\pi\) | |||||||
\(318\) | 4.66301e7 | + | 6.70440e6i | 1.45006 | + | 0.208487i | ||||
\(319\) | 8.78460e6 | − | 1.36691e7i | 0.270614 | − | 0.421083i | ||||
\(320\) | −1.97542e7 | + | 1.71171e7i | −0.602851 | + | 0.522374i | ||||
\(321\) | 1.82846e7i | 0.552804i | ||||||||
\(322\) | −6.06224e7 | + | 1.00773e8i | −1.81579 | + | 3.01841i | ||||
\(323\) | −7.64279e6 | −0.226801 | ||||||||
\(324\) | −6.61316e6 | − | 7.63200e6i | −0.194435 | − | 0.224390i | ||||
\(325\) | −1.53416e6 | − | 985942.i | −0.0446909 | − | 0.0287211i | ||||
\(326\) | −9.59017e6 | + | 6.67011e7i | −0.276805 | + | 1.92522i | ||||
\(327\) | −9.31176e6 | − | 4.25254e6i | −0.266311 | − | 0.121620i | ||||
\(328\) | −3.83637e6 | − | 2.66825e7i | −0.108717 | − | 0.756145i | ||||
\(329\) | −1.48979e7 | + | 5.07376e7i | −0.418348 | + | 1.42476i | ||||
\(330\) | −9.25994e6 | + | 5.95100e6i | −0.257672 | + | 0.165595i | ||||
\(331\) | −1.54471e6 | − | 3.38245e6i | −0.0425956 | − | 0.0932713i | 0.887138 | − | 0.461504i | \(-0.152690\pi\) |
−0.929734 | + | 0.368233i | \(0.879963\pi\) | |||||||
\(332\) | 1.63298e7 | + | 5.56143e7i | 0.446239 | + | 1.51975i | ||||
\(333\) | 7.37898e6 | + | 6.39392e6i | 0.199831 | + | 0.173155i | ||||
\(334\) | 2.02066e7 | − | 2.33196e7i | 0.542317 | − | 0.625867i | ||||
\(335\) | 155126. | − | 45549.2i | 0.00412621 | − | 0.00121156i | ||||
\(336\) | −1.27011e8 | + | 5.80039e7i | −3.34829 | + | 1.52911i | ||||
\(337\) | −2.44860e7 | − | 3.81010e7i | −0.639776 | − | 0.995512i | −0.998082 | − | 0.0619072i | \(-0.980282\pi\) |
0.358305 | − | 0.933604i | \(-0.383355\pi\) | |||||||
\(338\) | 7.07702e7 | + | 2.07800e7i | 1.83274 | + | 0.538140i | ||||
\(339\) | −1.48209e7 | + | 2.13093e6i | −0.380432 | + | 0.0546978i | ||||
\(340\) | −1.62115e6 | + | 3.54982e6i | −0.0412464 | + | 0.0903170i | ||||
\(341\) | 5.04749e7 | + | 7.25720e6i | 1.27295 | + | 0.183023i | ||||
\(342\) | 2.15054e7 | − | 3.34631e7i | 0.537613 | − | 0.836541i | ||||
\(343\) | 7.72982e7 | − | 6.69792e7i | 1.91552 | − | 1.65981i | ||||
\(344\) | − | 1.84412e8i | − | 4.53015i | ||||||
\(345\) | −5.57211e6 | − | 2.34781e6i | −0.135695 | − | 0.0571749i | ||||
\(346\) | −4.98440e7 | −1.20333 | ||||||||
\(347\) | 5.43822e6 | + | 6.27605e6i | 0.130157 | + | 0.150210i | 0.817087 | − | 0.576514i | \(-0.195587\pi\) |
−0.686930 | + | 0.726724i | \(0.741042\pi\) | |||||||
\(348\) | 2.52224e7 | + | 1.62094e7i | 0.598478 | + | 0.384618i | ||||
\(349\) | 3.44099e6 | − | 2.39326e7i | 0.0809482 | − | 0.563007i | −0.908474 | − | 0.417942i | \(-0.862752\pi\) |
0.989422 | − | 0.145065i | \(-0.0463393\pi\) | |||||||
\(350\) | −1.28442e8 | − | 5.86577e7i | −2.99574 | − | 1.36811i | ||||
\(351\) | −67296.4 | − | 468057.i | −0.00155622 | − | 0.0108237i | ||||
\(352\) | 4.59110e7 | − | 1.56358e8i | 1.05266 | − | 3.58504i | ||||
\(353\) | −5.91807e7 | + | 3.80332e7i | −1.34542 | + | 0.864646i | −0.997345 | − | 0.0728226i | \(-0.976799\pi\) |
−0.348070 | + | 0.937468i | \(0.613163\pi\) | |||||||
\(354\) | −9.98391e6 | − | 2.18617e7i | −0.225056 | − | 0.492804i | ||||
\(355\) | 5.84493e6 | + | 1.99060e7i | 0.130645 | + | 0.444937i | ||||
\(356\) | −9.21325e7 | − | 7.98333e7i | −2.04203 | − | 1.76943i | ||||
\(357\) | −4.60685e6 | + | 5.31659e6i | −0.101251 | + | 0.116850i | ||||
\(358\) | −5.64235e7 | + | 1.65674e7i | −1.22973 | + | 0.361082i | ||||
\(359\) | 8.10174e6 | − | 3.69994e6i | 0.175103 | − | 0.0799671i | −0.325935 | − | 0.945392i | \(-0.605679\pi\) |
0.501038 | + | 0.865425i | \(0.332952\pi\) | |||||||
\(360\) | −6.87155e6 | − | 1.06923e7i | −0.147281 | − | 0.229174i | ||||
\(361\) | 6.42558e7 | + | 1.88672e7i | 1.36581 | + | 0.401039i | ||||
\(362\) | 7.62679e7 | − | 1.09657e7i | 1.60774 | − | 0.231158i | ||||
\(363\) | 2.04542e6 | − | 4.47885e6i | 0.0427625 | − | 0.0936367i | ||||
\(364\) | −1.33235e7 | − | 1.91562e6i | −0.276257 | − | 0.0397197i | ||||
\(365\) | −1.10149e7 | + | 1.71396e7i | −0.226518 | + | 0.352469i | ||||
\(366\) | 1.80764e6 | − | 1.56633e6i | 0.0368696 | − | 0.0319477i | ||||
\(367\) | 1.81997e7i | 0.368185i | 0.982909 | + | 0.184093i | \(0.0589346\pi\) | ||||
−0.982909 | + | 0.184093i | \(0.941065\pi\) | |||||||
\(368\) | 1.64335e8 | − | 5.35892e7i | 3.29752 | − | 1.07531i | ||||
\(369\) | 3.99261e6 | 0.0794654 | ||||||||
\(370\) | 1.28598e7 | + | 1.48410e7i | 0.253880 | + | 0.292993i | ||||
\(371\) | 1.04559e8 | + | 6.71958e7i | 2.04757 | + | 1.31589i | ||||
\(372\) | −1.33911e7 | + | 9.31369e7i | −0.260127 | + | 1.80923i | ||||
\(373\) | −7.15845e6 | − | 3.26915e6i | −0.137941 | − | 0.0629954i | 0.345249 | − | 0.938511i | \(-0.387795\pi\) |
−0.483190 | + | 0.875516i | \(0.660522\pi\) | |||||||
\(374\) | −2.25621e6 | − | 1.56923e7i | −0.0431286 | − | 0.299966i | ||||
\(375\) | 4.23303e6 | − | 1.44164e7i | 0.0802708 | − | 0.273377i | ||||
\(376\) | 1.15759e8 | − | 7.43938e7i | 2.17766 | − | 1.39950i | ||||
\(377\) | 583207. | + | 1.27704e6i | 0.0108842 | + | 0.0238332i | ||||
\(378\) | −1.03152e7 | − | 3.51305e7i | −0.190987 | − | 0.650442i | ||||
\(379\) | −3.33280e7 | − | 2.88789e7i | −0.612198 | − | 0.530472i | 0.292643 | − | 0.956222i | \(-0.405465\pi\) |
−0.904841 | + | 0.425749i | \(0.860011\pi\) | |||||||
\(380\) | 3.81239e7 | − | 4.39973e7i | 0.694778 | − | 0.801817i | ||||
\(381\) | −2.21113e7 | + | 6.49245e6i | −0.399796 | + | 0.117391i | ||||
\(382\) | −8.89145e7 | + | 4.06059e7i | −1.59508 | + | 0.728449i | ||||
\(383\) | 1.25441e7 | + | 1.95190e7i | 0.223277 | + | 0.347426i | 0.934761 | − | 0.355276i | \(-0.115613\pi\) |
−0.711484 | + | 0.702702i | \(0.751977\pi\) | |||||||
\(384\) | 8.00317e7 | + | 2.34994e7i | 1.41341 | + | 0.415015i | ||||
\(385\) | −2.87450e7 | + | 4.13291e6i | −0.503709 | + | 0.0724225i | ||||
\(386\) | −7.65903e6 | + | 1.67709e7i | −0.133172 | + | 0.291605i | ||||
\(387\) | 2.70354e7 | + | 3.88710e6i | 0.466444 | + | 0.0670645i | ||||
\(388\) | −5.30347e7 | + | 8.25236e7i | −0.907956 | + | 1.41281i | ||||
\(389\) | 3.04586e7 | − | 2.63925e7i | 0.517441 | − | 0.448366i | −0.356572 | − | 0.934268i | \(-0.616054\pi\) |
0.874013 | + | 0.485902i | \(0.161509\pi\) | |||||||
\(390\) | − | 951061.i | − | 0.0160330i | ||||||
\(391\) | 6.40982e6 | − | 5.89546e6i | 0.107230 | − | 0.0986251i | ||||
\(392\) | −4.59175e8 | −7.62289 | ||||||||
\(393\) | −3.35969e7 | − | 3.87729e7i | −0.553505 | − | 0.638778i | ||||
\(394\) | 2.87673e7 | + | 1.84876e7i | 0.470338 | + | 0.302268i | ||||
\(395\) | 1.95802e6 | − | 1.36183e7i | 0.0317706 | − | 0.220970i | ||||
\(396\) | 5.46166e7 | + | 2.49426e7i | 0.879507 | + | 0.401658i | ||||
\(397\) | −1.47482e7 | − | 1.02576e8i | −0.235704 | − | 1.63936i | −0.672716 | − | 0.739901i | \(-0.734872\pi\) |
0.437012 | − | 0.899456i | \(-0.356037\pi\) | |||||||
\(398\) | −3.64885e7 | + | 1.24269e8i | −0.578772 | + | 1.97111i | ||||
\(399\) | 8.82856e7 | − | 5.67377e7i | 1.38986 | − | 0.893209i | ||||
\(400\) | 8.62153e7 | + | 1.88785e8i | 1.34711 | + | 2.94977i | ||||
\(401\) | −1.72510e7 | − | 5.87516e7i | −0.267536 | − | 0.911143i | −0.978209 | − | 0.207621i | \(-0.933428\pi\) |
0.710674 | − | 0.703522i | \(-0.248390\pi\) | |||||||
\(402\) | −915919. | − | 793648.i | −0.0140987 | − | 0.0122166i | ||||
\(403\) | −2.88533e6 | + | 3.32984e6i | −0.0440839 | + | 0.0508755i | ||||
\(404\) | 1.56217e8 | − | 4.58695e7i | 2.36911 | − | 0.695633i | ||||
\(405\) | 1.71237e6 | − | 782015.i | 0.0257771 | − | 0.0117720i | ||||
\(406\) | 5.87692e7 | + | 9.14466e7i | 0.878155 | + | 1.36644i | ||||
\(407\) | −5.57005e7 | − | 1.63551e7i | −0.826182 | − | 0.242589i | ||||
\(408\) | 1.81197e7 | − | 2.60522e6i | 0.266791 | − | 0.0383587i | ||||
\(409\) | 2.69579e7 | − | 5.90296e7i | 0.394019 | − | 0.862780i | −0.603823 | − | 0.797118i | \(-0.706357\pi\) |
0.997842 | − | 0.0656621i | \(-0.0209160\pi\) | |||||||
\(410\) | 7.94842e6 | + | 1.14281e6i | 0.115327 | + | 0.0165815i | ||||
\(411\) | −2.37447e7 | + | 3.69475e7i | −0.342012 | + | 0.532181i | ||||
\(412\) | −1.88169e8 | + | 1.63050e8i | −2.69065 | + | 2.33146i | ||||
\(413\) | − | 6.34077e7i | − | 0.900103i | ||||||
\(414\) | 7.77651e6 | + | 4.46534e7i | 0.109593 | + | 0.629294i | ||||
\(415\) | −1.08048e7 | −0.151173 | ||||||||
\(416\) | 9.22053e6 | + | 1.06411e7i | 0.128078 | + | 0.147810i | ||||
\(417\) | −2.35376e7 | − | 1.51267e7i | −0.324604 | − | 0.208610i | ||||
\(418\) | −3.36580e7 | + | 2.34096e8i | −0.460850 | + | 3.20528i | ||||
\(419\) | 3.96062e7 | + | 1.80876e7i | 0.538420 | + | 0.245888i | 0.666015 | − | 0.745938i | \(-0.267999\pi\) |
−0.127595 | + | 0.991826i | \(0.540726\pi\) | |||||||
\(420\) | −7.62608e6 | − | 5.30405e7i | −0.102933 | − | 0.715913i | ||||
\(421\) | 1.45743e7 | − | 4.96355e7i | 0.195318 | − | 0.665191i | −0.802345 | − | 0.596860i | \(-0.796415\pi\) |
0.997663 | − | 0.0683305i | \(-0.0217672\pi\) | |||||||
\(422\) | 7.66448e7 | − | 4.92566e7i | 1.01987 | − | 0.655431i | ||||
\(423\) | 8.46637e6 | + | 1.85388e7i | 0.111860 | + | 0.244940i | ||||
\(424\) | −9.11192e7 | − | 3.10323e8i | −1.19540 | − | 4.07115i | ||||
\(425\) | 7.90243e6 | + | 6.84749e6i | 0.102942 | + | 0.0892000i | ||||
\(426\) | 1.01842e8 | − | 1.17532e8i | 1.31734 | − | 1.52029i | ||||
\(427\) | 6.05480e6 | − | 1.77785e6i | 0.0777707 | − | 0.0228355i | ||||
\(428\) | 1.82472e8 | − | 8.33323e7i | 2.32737 | − | 1.06287i | ||||
\(429\) | 1.52002e6 | + | 2.36520e6i | 0.0192521 | + | 0.0299568i | ||||
\(430\) | 5.27089e7 | + | 1.54767e7i | 0.662947 | + | 0.194659i | ||||
\(431\) | −7.17307e7 | + | 1.03133e7i | −0.895928 | + | 0.128815i | −0.574870 | − | 0.818245i | \(-0.694947\pi\) |
−0.321058 | + | 0.947060i | \(0.604038\pi\) | |||||||
\(432\) | −2.23555e7 | + | 4.89516e7i | −0.277289 | + | 0.607178i | ||||
\(433\) | 5.94401e7 | + | 8.54620e6i | 0.732177 | + | 0.105271i | 0.498312 | − | 0.866998i | \(-0.333954\pi\) |
0.233865 | + | 0.972269i | \(0.424863\pi\) | |||||||
\(434\) | −1.84440e8 | + | 2.86994e8i | −2.25624 | + | 3.51078i | ||||
\(435\) | −4.22386e6 | + | 3.65999e6i | −0.0513147 | + | 0.0444644i | ||||
\(436\) | 1.12308e8i | 1.35504i | ||||||||
\(437\) | −1.16526e8 | + | 5.74458e7i | −1.39629 | + | 0.688357i | ||||
\(438\) | 1.52725e8 | 1.81755 | ||||||||
\(439\) | −6.69269e7 | − | 7.72378e7i | −0.791056 | − | 0.912928i | 0.206799 | − | 0.978383i | \(-0.433695\pi\) |
−0.997855 | + | 0.0654557i | \(0.979150\pi\) | |||||||
\(440\) | 6.35728e7 | + | 4.08558e7i | 0.746300 | + | 0.479618i | ||||
\(441\) | 9.67866e6 | − | 6.73166e7i | 0.112849 | − | 0.784885i | ||||
\(442\) | 1.24601e6 | + | 569036.i | 0.0144297 | + | 0.00658981i | ||||
\(443\) | −2.28941e7 | − | 1.59232e8i | −0.263337 | − | 1.83155i | −0.507304 | − | 0.861767i | \(-0.669358\pi\) |
0.243967 | − | 0.969784i | \(-0.421551\pi\) | |||||||
\(444\) | 3.01787e7 | − | 1.02779e8i | 0.344787 | − | 1.17424i | ||||
\(445\) | 1.91176e7 | − | 1.22862e7i | 0.216947 | − | 0.139424i | ||||
\(446\) | −1.25648e8 | − | 2.75130e8i | −1.41628 | − | 3.10122i | ||||
\(447\) | −2.38566e7 | − | 8.12482e7i | −0.267108 | − | 0.909685i | ||||
\(448\) | 3.90679e8 | + | 3.38525e8i | 4.34496 | + | 3.76493i | ||||
\(449\) | −4.25948e7 | + | 4.91570e7i | −0.470563 | + | 0.543059i | −0.940568 | − | 0.339605i | \(-0.889707\pi\) |
0.470005 | + | 0.882664i | \(0.344252\pi\) | |||||||
\(450\) | −5.22169e7 | + | 1.53323e7i | −0.573025 | + | 0.168255i | ||||
\(451\) | −2.15934e7 | + | 9.86139e6i | −0.235392 | + | 0.107500i | ||||
\(452\) | 8.88121e7 | + | 1.38194e8i | 0.961739 | + | 1.49649i | ||||
\(453\) | −5.48115e7 | − | 1.60941e7i | −0.589627 | − | 0.173130i | ||||
\(454\) | 6.44395e6 | − | 926499.i | 0.0688627 | − | 0.00990097i | ||||
\(455\) | 1.04235e6 | − | 2.28243e6i | 0.0110657 | − | 0.0242306i | ||||
\(456\) | −2.70308e8 | − | 3.88644e7i | −2.85078 | − | 0.409881i | ||||
\(457\) | 9.30504e7 | − | 1.44789e8i | 0.974922 | − | 1.51701i | 0.123622 | − | 0.992329i | \(-0.460549\pi\) |
0.851300 | − | 0.524679i | \(-0.175815\pi\) | |||||||
\(458\) | −6.74620e7 | + | 5.84561e7i | −0.702203 | + | 0.608462i | ||||
\(459\) | 2.71133e6i | 0.0280378i | ||||||||
\(460\) | 1.96485e6 | + | 6.63072e7i | 0.0201863 | + | 0.681220i | ||||
\(461\) | −8.12493e7 | −0.829310 | −0.414655 | − | 0.909979i | \(-0.636098\pi\) | ||||
−0.414655 | + | 0.909979i | \(0.636098\pi\) | |||||||
\(462\) | 1.42557e8 | + | 1.64520e8i | 1.44565 | + | 1.66837i | ||||
\(463\) | 1.09256e8 | + | 7.02148e7i | 1.10079 | + | 0.707433i | 0.959267 | − | 0.282502i | \(-0.0911644\pi\) |
0.141521 | + | 0.989935i | \(0.454801\pi\) | |||||||
\(464\) | 2.27379e7 | − | 1.58145e8i | 0.227613 | − | 1.58308i | ||||
\(465\) | −1.59552e7 | − | 7.28651e6i | −0.158688 | − | 0.0724704i | ||||
\(466\) | −2.60608e7 | − | 1.81257e8i | −0.257531 | − | 1.79117i | ||||
\(467\) | −2.97165e7 | + | 1.01205e8i | −0.291774 | + | 0.993692i | 0.674948 | + | 0.737865i | \(0.264166\pi\) |
−0.966723 | + | 0.255827i | \(0.917652\pi\) | |||||||
\(468\) | −4.36429e6 | + | 2.80476e6i | −0.0425771 | + | 0.0273626i | ||||
\(469\) | −1.32827e6 | − | 2.90850e6i | −0.0128756 | − | 0.0281936i | ||||
\(470\) | 1.15483e7 | + | 3.93300e7i | 0.111231 | + | 0.378817i | ||||
\(471\) | 5.90704e7 | + | 5.11848e7i | 0.565337 | + | 0.489867i | ||||
\(472\) | −1.08051e8 | + | 1.24698e8i | −1.02755 | + | 1.18586i | ||||
\(473\) | −1.55817e8 | + | 4.57521e7i | −1.47242 | + | 0.432343i | ||||
\(474\) | −9.38141e7 | + | 4.28435e7i | −0.880913 | + | 0.402300i | ||||
\(475\) | −8.43333e7 | − | 1.31225e8i | −0.786898 | − | 1.22444i | ||||
\(476\) | 7.40528e7 | + | 2.17439e7i | 0.686627 | + | 0.201612i | ||||
\(477\) | 4.74151e7 | − | 6.81726e6i | 0.436879 | − | 0.0628138i | ||||
\(478\) | 4.00130e7 | − | 8.76161e7i | 0.366367 | − | 0.802233i | ||||
\(479\) | 8.69842e7 | + | 1.25064e7i | 0.791469 | + | 0.113796i | 0.526181 | − | 0.850373i | \(-0.323624\pi\) |
0.265289 | + | 0.964169i | \(0.414533\pi\) | |||||||
\(480\) | −3.03045e7 | + | 4.71547e7i | −0.274020 | + | 0.426384i | ||||
\(481\) | 3.79072e6 | − | 3.28468e6i | 0.0340633 | − | 0.0295160i | ||||
\(482\) | 4.63398e7i | 0.413822i | ||||||||
\(483\) | −3.02769e7 | + | 1.15686e8i | −0.268702 | + | 1.02669i | ||||
\(484\) | −5.40188e7 | −0.476441 | ||||||||
\(485\) | −1.19749e7 | − | 1.38198e7i | −0.104966 | − | 0.121137i | ||||
\(486\) | −1.18712e7 | − | 7.62917e6i | −0.103416 | − | 0.0664612i | ||||
\(487\) | −2.83346e7 | + | 1.97072e8i | −0.245319 | + | 1.70623i | 0.379279 | + | 0.925282i | \(0.376172\pi\) |
−0.624598 | + | 0.780947i | \(0.714737\pi\) | |||||||
\(488\) | −1.49370e7 | − | 6.82149e6i | −0.128530 | − | 0.0586976i | ||||
\(489\) | 9.75162e6 | + | 6.78240e7i | 0.0833970 | + | 0.580039i | ||||
\(490\) | 3.85362e7 | − | 1.31242e8i | 0.327552 | − | 1.11554i | ||||
\(491\) | 5.22470e7 | − | 3.35771e7i | 0.441385 | − | 0.283661i | −0.301013 | − | 0.953620i | \(-0.597325\pi\) |
0.742398 | + | 0.669959i | \(0.233688\pi\) | |||||||
\(492\) | −1.81963e7 | − | 3.98444e7i | −0.152788 | − | 0.334559i | ||||
\(493\) | −2.26787e6 | − | 7.72364e6i | −0.0189268 | − | 0.0644587i | ||||
\(494\) | −1.54434e7 | − | 1.33818e7i | −0.128104 | − | 0.111003i | ||||
\(495\) | −7.32961e6 | + | 8.45882e6i | −0.0604317 | + | 0.0697420i | ||||
\(496\) | 4.81113e8 | − | 1.41268e8i | 3.94278 | − | 1.15770i | ||||
\(497\) | 3.73222e8 | − | 1.70445e8i | 3.04017 | − | 1.38840i | ||||
\(498\) | 4.37887e7 | + | 6.81365e7i | 0.354547 | + | 0.551686i | ||||
\(499\) | 1.04897e8 | + | 3.08004e7i | 0.844228 | + | 0.247888i | 0.675118 | − | 0.737709i | \(-0.264093\pi\) |
0.169110 | + | 0.985597i | \(0.445911\pi\) | |||||||
\(500\) | −1.63161e8 | + | 2.34590e7i | −1.30529 | + | 0.187672i | ||||
\(501\) | 1.30339e7 | − | 2.85404e7i | 0.103648 | − | 0.226958i | ||||
\(502\) | 6.58836e7 | + | 9.47263e6i | 0.520794 | + | 0.0748789i | ||||
\(503\) | −4.16155e6 | + | 6.47549e6i | −0.0327002 | + | 0.0508825i | −0.857219 | − | 0.514952i | \(-0.827810\pi\) |
0.824519 | + | 0.565835i | \(0.191446\pi\) | |||||||
\(504\) | −1.89969e8 | + | 1.64609e8i | −1.48386 | + | 1.28577i | ||||
\(505\) | 3.03501e7i | 0.235660i | ||||||||
\(506\) | −1.52348e8 | − | 2.22294e8i | −1.17594 | − | 1.71584i | ||||
\(507\) | 7.49996e7 | 0.575486 | ||||||||
\(508\) | 1.65564e8 | + | 1.91071e8i | 1.26291 | + | 1.45748i | ||||
\(509\) | −1.02088e7 | − | 6.56077e6i | −0.0774140 | − | 0.0497510i | 0.501361 | − | 0.865238i | \(-0.332833\pi\) |
−0.578775 | + | 0.815487i | \(0.696469\pi\) | |||||||
\(510\) | −776066. | + | 5.39766e6i | −0.00585043 | + | 0.0406907i | ||||
\(511\) | 3.66521e8 | + | 1.67384e8i | 2.74685 | + | 1.25445i | ||||
\(512\) | −1.57472e7 | − | 1.09524e8i | −0.117326 | − | 0.816019i | ||||
\(513\) | 1.13953e7 | − | 3.88089e7i | 0.0844062 | − | 0.287461i | ||||
\(514\) | −3.45389e8 | + | 2.21968e8i | −2.54343 | + | 1.63456i | ||||
\(515\) | −1.92808e7 | − | 4.22192e7i | −0.141158 | − | 0.309092i | ||||
\(516\) | −8.44223e7 | − | 2.87516e8i | −0.614480 | − | 2.09273i | ||||
\(517\) | −9.15781e7 | − | 7.93529e7i | −0.662705 | − | 0.574237i | ||||
\(518\) | 2.54328e8 | − | 2.93510e8i | 1.82980 | − | 2.11171i | ||||
\(519\) | −4.86301e7 | + | 1.42791e7i | −0.347859 | + | 0.102141i | ||||
\(520\) | −5.93933e6 | + | 2.71240e6i | −0.0422403 | + | 0.0192905i | ||||
\(521\) | −2.14481e7 | − | 3.33738e7i | −0.151661 | − | 0.235990i | 0.757107 | − | 0.653291i | \(-0.226612\pi\) |
−0.908768 | + | 0.417302i | \(0.862976\pi\) | |||||||
\(522\) | 4.01984e7 | + | 1.18033e7i | 0.282616 | + | 0.0829837i | ||||
\(523\) | −4.57953e7 | + | 6.58437e6i | −0.320122 | + | 0.0460267i | −0.300503 | − | 0.953781i | \(-0.597155\pi\) |
−0.0196194 | + | 0.999808i | \(0.506245\pi\) | |||||||
\(524\) | −2.33817e8 | + | 5.11989e8i | −1.62511 | + | 3.55850i | ||||
\(525\) | −1.42118e8 | − | 2.04335e7i | −0.982137 | − | 0.141210i | ||||
\(526\) | 1.15962e8 | − | 1.80440e8i | 0.796816 | − | 1.23987i | ||||
\(527\) | 1.90926e7 | − | 1.65438e7i | 0.130446 | − | 0.113032i | ||||
\(528\) | − | 3.19963e8i | − | 2.17369i | ||||||
\(529\) | 5.34149e7 | − | 1.38063e8i | 0.360824 | − | 0.932634i | ||||
\(530\) | 9.63444e7 | 0.647141 | ||||||||
\(531\) | −1.60036e7 | − | 1.84691e7i | −0.106889 | − | 0.123357i | ||||
\(532\) | −9.68578e8 | − | 6.22467e8i | −6.43279 | − | 4.13410i | ||||
\(533\) | 291899. | − | 2.03021e6i | 0.00192775 | − | 0.0134078i | ||||
\(534\) | −1.54956e8 | − | 7.07661e7i | −1.01762 | − | 0.464731i | ||||
\(535\) | 5.32174e6 | + | 3.70135e7i | 0.0347530 | + | 0.241713i | ||||
\(536\) | −2.34412e6 | + | 7.98333e6i | −0.0152225 | + | 0.0518430i | ||||
\(537\) | −5.03032e7 | + | 3.23279e7i | −0.324842 | + | 0.208763i | ||||
\(538\) | 4.04177e7 | + | 8.85023e7i | 0.259552 | + | 0.568340i | ||||
\(539\) | 1.13920e8 | + | 3.87977e8i | 0.727503 | + | 2.47765i | ||||
\(540\) | −1.56083e7 | − | 1.35247e7i | −0.0991229 | − | 0.0858905i | ||||
\(541\) | −7.41176e7 | + | 8.55363e7i | −0.468090 | + | 0.540205i | −0.939879 | − | 0.341506i | \(-0.889063\pi\) |
0.471789 | + | 0.881711i | \(0.343608\pi\) | |||||||
\(542\) | 4.42482e8 | − | 1.29925e8i | 2.77906 | − | 0.816006i | ||||
\(543\) | 7.12691e7 | − | 3.25475e7i | 0.445145 | − | 0.203291i | ||||
\(544\) | −4.36471e7 | − | 6.79162e7i | −0.271118 | − | 0.421868i | ||||
\(545\) | −2.00875e7 | − | 5.89821e6i | −0.124090 | − | 0.0364360i | ||||
\(546\) | −1.86176e7 | + | 2.67681e6i | −0.114379 | + | 0.0164452i | ||||
\(547\) | −6.22035e7 | + | 1.36207e8i | −0.380061 | + | 0.832216i | 0.618848 | + | 0.785511i | \(0.287600\pi\) |
−0.998909 | + | 0.0467058i | \(0.985128\pi\) | |||||||
\(548\) | 4.76935e8 | + | 6.85730e7i | 2.89813 | + | 0.416688i | ||||
\(549\) | 1.31490e6 | − | 2.04603e6i | 0.00794651 | − | 0.0123650i | ||||
\(550\) | 2.44538e8 | − | 2.11893e8i | 1.46980 | − | 1.27359i | ||||
\(551\) | 1.20085e8i | 0.717849i | ||||||||
\(552\) | 2.56680e8 | − | 1.75914e8i | 1.52607 | − | 1.04588i | ||||
\(553\) | −2.72099e8 | −1.60898 | ||||||||
\(554\) | −4.89027e7 | − | 5.64367e7i | −0.287609 | − | 0.331919i | ||||
\(555\) | 1.67982e7 | + | 1.07955e7i | 0.0982615 | + | 0.0631488i | ||||
\(556\) | −4.36847e7 | + | 3.03834e8i | −0.254159 | + | 1.76771i | ||||
\(557\) | −2.49974e8 | − | 1.14159e8i | −1.44654 | − | 0.660612i | −0.471341 | − | 0.881951i | \(-0.656230\pi\) |
−0.975197 | + | 0.221340i | \(0.928957\pi\) | |||||||
\(558\) | 1.87121e7 | + | 1.30146e8i | 0.107701 | + | 0.749078i | ||||
\(559\) | 3.95311e6 | − | 1.34630e7i | 0.0226310 | − | 0.0770740i | ||||
\(560\) | −2.40225e8 | + | 1.54383e8i | −1.36790 | + | 0.879097i | ||||
\(561\) | −6.69673e6 | − | 1.46638e7i | −0.0379292 | − | 0.0830535i | ||||
\(562\) | 1.21735e8 | + | 4.14590e8i | 0.685812 | + | 2.33566i | ||||
\(563\) | 6.11300e6 | + | 5.29695e6i | 0.0342554 | + | 0.0296825i | 0.671820 | − | 0.740714i | \(-0.265513\pi\) |
−0.637565 | + | 0.770397i | \(0.720058\pi\) | |||||||
\(564\) | 1.46423e8 | − | 1.68981e8i | 0.816152 | − | 0.941890i | ||||
\(565\) | −2.93818e7 | + | 8.62726e6i | −0.162904 | + | 0.0478330i | ||||
\(566\) | −1.57351e8 | + | 7.18597e7i | −0.867800 | + | 0.396311i | ||||
\(567\) | −2.01280e7 | − | 3.13198e7i | −0.110421 | − | 0.171819i | ||||
\(568\) | −1.02443e9 | − | 3.00800e8i | −5.59033 | − | 1.64147i | ||||
\(569\) | 1.64432e7 | − | 2.36418e6i | 0.0892587 | − | 0.0128335i | −0.0975407 | − | 0.995232i | \(-0.531098\pi\) |
0.186799 | + | 0.982398i | \(0.440189\pi\) | |||||||
\(570\) | 3.37939e7 | − | 7.39983e7i | 0.182479 | − | 0.399574i | ||||
\(571\) | −1.12721e8 | − | 1.62069e7i | −0.605478 | − | 0.0870546i | −0.167244 | − | 0.985916i | \(-0.553487\pi\) |
−0.438234 | + | 0.898861i | \(0.644396\pi\) | |||||||
\(572\) | 1.66761e7 | − | 2.59485e7i | 0.0891058 | − | 0.138651i | ||||
\(573\) | −7.51165e7 | + | 6.50888e7i | −0.399274 | + | 0.345973i | ||||
\(574\) | − | 1.58812e8i | − | 0.839746i | ||||||
\(575\) | 1.71952e8 | + | 4.50027e7i | 0.904490 | + | 0.236720i | ||||
\(576\) | 1.99236e8 | 1.04256 | ||||||||
\(577\) | 7.34663e7 | + | 8.47846e7i | 0.382438 | + | 0.441357i | 0.914032 | − | 0.405643i | \(-0.132952\pi\) |
−0.531594 | + | 0.846999i | \(0.678407\pi\) | |||||||
\(578\) | 3.04688e8 | + | 1.95811e8i | 1.57787 | + | 1.01404i | ||||
\(579\) | −2.66804e6 | + | 1.85566e7i | −0.0137454 | + | 0.0956011i | ||||
\(580\) | 5.57753e7 | + | 2.54717e7i | 0.285863 | + | 0.130549i | ||||
\(581\) | 3.04107e7 | + | 2.11511e8i | 0.155060 | + | 1.07846i | ||||
\(582\) | −3.86186e7 | + | 1.31523e8i | −0.195897 | + | 0.667163i | ||||
\(583\) | −2.39599e8 | + | 1.53981e8i | −1.20915 | + | 0.777073i | ||||
\(584\) | −4.35566e8 | − | 9.53757e8i | −2.18683 | − | 4.78850i | ||||
\(585\) | −272456. | − | 927899.i | −0.00136091 | − | 0.00463482i | ||||
\(586\) | 4.87551e8 | + | 4.22466e8i | 2.42286 | + | 2.09942i | ||||
\(587\) | 1.10928e8 | − | 1.28018e8i | 0.548437 | − | 0.632930i | −0.412081 | − | 0.911147i | \(-0.635198\pi\) |
0.960518 | + | 0.278217i | \(0.0897435\pi\) | |||||||
\(588\) | −7.15899e8 | + | 2.10207e8i | −3.52143 | + | 1.03399i | ||||
\(589\) | −3.42815e8 | + | 1.56558e8i | −1.67770 | + | 0.766179i | ||||
\(590\) | −2.65732e7 | − | 4.13488e7i | −0.129386 | − | 0.201329i | ||||
\(591\) | 3.33629e7 | + | 9.79624e6i | 0.161623 | + | 0.0474567i | ||||
\(592\) | −5.65016e8 | + | 8.12370e7i | −2.72330 | + | 0.391552i | ||||
\(593\) | 1.40100e8 | − | 3.06776e8i | 0.671852 | − | 1.47115i | −0.199199 | − | 0.979959i | \(-0.563834\pi\) |
0.871051 | − | 0.491192i | \(-0.163439\pi\) | |||||||
\(594\) | 8.30471e7 | + | 1.19404e7i | 0.396246 | + | 0.0569716i | ||||
\(595\) | −7.77824e6 | + | 1.21032e7i | −0.0369258 | + | 0.0574577i | ||||
\(596\) | −7.02093e8 | + | 6.08367e8i | −3.31631 | + | 2.87360i | ||||
\(597\) | 1.31695e8i | 0.618937i | ||||||||
\(598\) | 2.32744e7 | − | 689678.i | 0.108836 | − | 0.00322510i | ||||
\(599\) | 1.92484e8 | 0.895600 | 0.447800 | − | 0.894134i | \(-0.352208\pi\) | ||||
0.447800 | + | 0.894134i | \(0.352208\pi\) | |||||||
\(600\) | 2.44670e8 | + | 2.82365e8i | 1.13273 | + | 1.30724i | ||||
\(601\) | 5.44748e7 | + | 3.50089e7i | 0.250942 | + | 0.161270i | 0.660065 | − | 0.751209i | \(-0.270529\pi\) |
−0.409123 | + | 0.912479i | \(0.634165\pi\) | |||||||
\(602\) | 1.54615e8 | − | 1.07537e9i | 0.708700 | − | 4.92912i | ||||
\(603\) | −1.12097e6 | − | 511931.i | −0.00511262 | − | 0.00233485i | ||||
\(604\) | 8.91918e7 | + | 6.20343e8i | 0.404775 | + | 2.81528i | ||||
\(605\) | 2.83697e6 | − | 9.66183e6i | 0.0128112 | − | 0.0436308i | ||||
\(606\) | 1.91391e8 | − | 1.23000e8i | 0.860012 | − | 0.552696i | ||||
\(607\) | 3.40102e7 | + | 7.44719e7i | 0.152070 | + | 0.332986i | 0.970300 | − | 0.241904i | \(-0.0777720\pi\) |
−0.818230 | + | 0.574890i | \(0.805045\pi\) | |||||||
\(608\) | 3.39306e8 | + | 1.15557e9i | 1.50967 | + | 5.14145i | ||||
\(609\) | 8.35351e7 | + | 7.23836e7i | 0.369843 | + | 0.320471i | ||||
\(610\) | 3.20332e6 | − | 3.69683e6i | 0.0141127 | − | 0.0162869i | ||||
\(611\) | 1.00458e7 | − | 2.94970e6i | 0.0440412 | − | 0.0129317i | ||||
\(612\) | 2.70578e7 | − | 1.23569e7i | 0.118042 | − | 0.0539081i | ||||
\(613\) | 4.45775e7 | + | 6.93639e7i | 0.193524 | + | 0.301129i | 0.924432 | − | 0.381347i | \(-0.124540\pi\) |
−0.730908 | + | 0.682476i | \(0.760903\pi\) | |||||||
\(614\) | −1.63205e8 | − | 4.79212e7i | −0.705063 | − | 0.207025i | ||||
\(615\) | 8.08223e6 | − | 1.16205e6i | 0.0347461 | − | 0.00499573i | ||||
\(616\) | 6.20849e8 | − | 1.35947e9i | 2.65610 | − | 5.81604i | ||||
\(617\) | −1.80439e8 | − | 2.59431e7i | −0.768199 | − | 0.110450i | −0.252937 | − | 0.967483i | \(-0.581396\pi\) |
−0.515262 | + | 0.857032i | \(0.672306\pi\) | |||||||
\(618\) | −1.88100e8 | + | 2.92689e8i | −0.796935 | + | 1.24005i | ||||
\(619\) | 2.72130e8 | − | 2.35802e8i | 1.14737 | − | 0.994203i | 0.147384 | − | 0.989079i | \(-0.452915\pi\) |
0.999987 | − | 0.00512327i | \(-0.00163080\pi\) | |||||||
\(620\) | 1.92434e8i | 0.807434i | ||||||||
\(621\) | 2.03792e7 | + | 4.13381e7i | 0.0850967 | + | 0.172614i | ||||
\(622\) | 6.75167e8 | 2.80569 | ||||||||
\(623\) | −2.94317e8 | − | 3.39660e8i | −1.21717 | − | 1.40469i | ||||
\(624\) | 2.32570e7 | + | 1.49464e7i | 0.0957195 | + | 0.0615152i | ||||
\(625\) | −2.81118e7 | + | 1.95522e8i | −0.115146 | + | 0.800858i | ||||
\(626\) | −5.30719e7 | − | 2.42371e7i | −0.216342 | − | 0.0988003i | ||||
\(627\) | 3.42246e7 | + | 2.38037e8i | 0.138847 | + | 0.965701i | ||||
\(628\) | 2.41587e8 | − | 8.22770e8i | 0.975427 | − | 3.32200i | ||||
\(629\) | −2.41942e7 | + | 1.55487e7i | −0.0972208 | + | 0.0624800i | ||||
\(630\) | −3.11058e7 | − | 6.81122e7i | −0.124400 | − | 0.272398i | ||||
\(631\) | −1.64870e7 | − | 5.61496e7i | −0.0656227 | − | 0.223490i | 0.920152 | − | 0.391561i | \(-0.128065\pi\) |
−0.985775 | + | 0.168070i | \(0.946246\pi\) | |||||||
\(632\) | 5.35111e8 | + | 4.63676e8i | 2.11979 | + | 1.83681i | ||||
\(633\) | 6.06674e7 | − | 7.00139e7i | 0.239191 | − | 0.276041i | ||||
\(634\) | −2.10204e8 | + | 6.17215e7i | −0.824847 | + | 0.242197i | ||||
\(635\) | −4.28701e7 | + | 1.95781e7i | −0.167430 | + | 0.0764627i | ||||
\(636\) | −2.84128e8 | − | 4.42111e8i | −1.10444 | − | 1.71854i | ||||
\(637\) | −3.35222e7 | − | 9.84302e6i | −0.129692 | − | 0.0380811i | ||||
\(638\) | −2.46560e8 | + | 3.54500e7i | −0.949425 | + | 0.136507i | ||||
\(639\) | 6.56916e7 | − | 1.43845e8i | 0.251772 | − | 0.551304i | ||||
\(640\) | 1.68847e8 | + | 2.42766e7i | 0.644102 | + | 0.0926078i | ||||
\(641\) | −1.11897e8 | + | 1.74115e8i | −0.424857 | + | 0.661091i | −0.986022 | − | 0.166613i | \(-0.946717\pi\) |
0.561165 | + | 0.827704i | \(0.310353\pi\) | |||||||
\(642\) | 2.11845e8 | − | 1.83564e8i | 0.800594 | − | 0.693718i | ||||
\(643\) | − | 2.05641e8i | − | 0.773530i | −0.922178 | − | 0.386765i | \(-0.873593\pi\) | ||
0.922178 | − | 0.386765i | \(-0.126407\pi\) | |||||||
\(644\) | 1.29248e9 | − | 2.25089e8i | 4.83911 | − | 0.842744i | ||||
\(645\) | 5.58589e7 | 0.208168 | ||||||||
\(646\) | 7.67280e7 | + | 8.85488e7i | 0.284614 | + | 0.328462i | ||||
\(647\) | −1.55227e8 | − | 9.97583e7i | −0.573132 | − | 0.368329i | 0.221741 | − | 0.975106i | \(-0.428826\pi\) |
−0.794873 | + | 0.606776i | \(0.792462\pi\) | |||||||
\(648\) | −1.37874e7 | + | 9.58933e7i | −0.0506707 | + | 0.352422i | ||||
\(649\) | 1.32170e8 | + | 6.03601e7i | 0.483503 | + | 0.220809i | ||||
\(650\) | 3.97874e6 | + | 2.76727e7i | 0.0144879 | + | 0.100766i | ||||
\(651\) | −9.77313e7 | + | 3.32842e8i | −0.354234 | + | 1.20641i | ||||
\(652\) | 6.32409e8 | − | 4.06425e8i | 2.28168 | − | 1.46635i | ||||
\(653\) | 1.63582e8 | + | 3.58196e8i | 0.587485 | + | 1.28641i | 0.936950 | + | 0.349464i | \(0.113636\pi\) |
−0.349464 | + | 0.936950i | \(0.613636\pi\) | |||||||
\(654\) | 4.42136e7 | + | 1.50578e8i | 0.158060 | + | 0.538304i | ||||
\(655\) | −7.92948e7 | − | 6.87094e7i | −0.282177 | − | 0.244507i | ||||
\(656\) | −1.52859e8 | + | 1.76409e8i | −0.541477 | + | 0.624898i | ||||
\(657\) | 1.49005e8 | − | 4.37518e7i | 0.525418 | − | 0.154277i | ||||
\(658\) | 7.37406e8 | − | 3.36762e8i | 2.58839 | − | 1.18208i | ||||
\(659\) | 9.04018e7 | + | 1.40668e8i | 0.315879 | + | 0.491517i | 0.962495 | − | 0.271298i | \(-0.0874529\pi\) |
−0.646616 | + | 0.762815i | \(0.723817\pi\) | |||||||
\(660\) | 1.17820e8 | + | 3.45950e7i | 0.409814 | + | 0.120332i | ||||
\(661\) | −4.07220e7 | + | 5.85494e6i | −0.141002 | + | 0.0202730i | −0.212454 | − | 0.977171i | \(-0.568146\pi\) |
0.0714525 | + | 0.997444i | \(0.477237\pi\) | |||||||
\(662\) | −2.36811e7 | + | 5.18543e7i | −0.0816257 | + | 0.178735i | ||||
\(663\) | 1.37868e6 | + | 198225.i | 0.00473068 | + | 0.000680170i | ||||
\(664\) | 3.00625e8 | − | 4.67781e8i | 1.02688 | − | 1.59786i | ||||
\(665\) | 1.62203e8 | − | 1.40549e8i | 0.551560 | − | 0.477930i | ||||
\(666\) | − | 1.49683e8i | − | 0.506697i | ||||||
\(667\) | −9.26304e7 | − | 1.00712e8i | −0.312159 | − | 0.339394i | ||||
\(668\) | −3.44222e8 | −1.15481 | ||||||||
\(669\) | −2.01405e8 | − | 2.32434e8i | −0.672656 | − | 0.776286i | ||||
\(670\) | −2.08508e6 | − | 1.34000e6i | −0.00693264 | − | 0.00445534i | ||||
\(671\) | −2.05794e6 | + | 1.43133e7i | −0.00681186 | + | 0.0473776i | ||||
\(672\) | 1.00838e9 | + | 4.60511e8i | 3.32288 | + | 1.51751i | ||||
\(673\) | 7.03570e7 | + | 4.89344e8i | 0.230814 | + | 1.60535i | 0.694598 | + | 0.719398i | \(0.255582\pi\) |
−0.463784 | + | 0.885948i | \(0.653509\pi\) | |||||||
\(674\) | −1.95614e8 | + | 6.66199e8i | −0.638880 | + | 2.17582i | ||||
\(675\) | −4.65529e7 | + | 2.99177e7i | −0.151368 | + | 0.0972786i | ||||
\(676\) | −3.41811e8 | − | 7.48461e8i | −1.10649 | − | 2.42286i | ||||
\(677\) | −9.54586e7 | − | 3.25102e8i | −0.307644 | − | 1.04774i | −0.957680 | − | 0.287836i | \(-0.907064\pi\) |
0.650035 | − | 0.759904i | \(-0.274754\pi\) | |||||||
\(678\) | 1.73480e8 | + | 1.50321e8i | 0.556622 | + | 0.482316i | ||||
\(679\) | −2.36828e8 | + | 2.73314e8i | −0.756524 | + | 0.873075i | ||||
\(680\) | 3.59214e7 | − | 1.05475e7i | 0.114242 | − | 0.0335445i | ||||
\(681\) | 6.02159e6 | − | 2.74997e6i | 0.0190664 | − | 0.00870736i | ||||
\(682\) | −4.22650e8 | − | 6.57656e8i | −1.33238 | − | 2.07322i | ||||
\(683\) | −2.06318e8 | − | 6.05805e7i | −0.647553 | − | 0.190139i | −0.0585688 | − | 0.998283i | \(-0.518654\pi\) |
−0.588984 | + | 0.808145i | \(0.700472\pi\) | |||||||
\(684\) | −4.39229e8 | + | 6.31516e7i | −1.37253 | + | 0.197340i | ||||
\(685\) | −3.73128e7 | + | 8.17035e7i | −0.116088 | + | 0.254196i | ||||
\(686\) | −1.55203e9 | − | 2.23149e8i | −4.80760 | − | 0.691229i | ||||
\(687\) | −4.90727e7 | + | 7.63587e7i | −0.151346 | + | 0.235498i | ||||
\(688\) | −1.20681e9 | + | 1.04571e9i | −3.70573 | + | 3.21103i | ||||
\(689\) | − | 2.46085e7i | − | 0.0752364i | ||||||
\(690\) | 2.87383e7 | + | 8.81283e7i | 0.0874811 | + | 0.268268i | ||||
\(691\) | 2.95689e8 | 0.896193 | 0.448097 | − | 0.893985i | \(-0.352102\pi\) | ||||
0.448097 | + | 0.893985i | \(0.352102\pi\) | |||||||
\(692\) | 3.64131e8 | + | 4.20229e8i | 1.09885 | + | 1.26814i | ||||
\(693\) | 1.86217e8 | + | 1.19674e8i | 0.559524 | + | 0.359584i | ||||
\(694\) | 1.81180e7 | − | 1.26014e8i | 0.0542042 | − | 0.376998i | ||||
\(695\) | −5.20496e7 | − | 2.37703e7i | −0.155047 | − | 0.0708076i | ||||
\(696\) | −4.09337e7 | − | 2.84700e8i | −0.121410 | − | 0.844422i | ||||
\(697\) | −3.31330e6 | + | 1.12840e7i | −0.00978502 | + | 0.0333247i | ||||
\(698\) | −3.11826e8 | + | 2.00399e8i | −0.916952 | + | 0.589289i | ||||
\(699\) | −7.73518e7 | − | 1.69377e8i | −0.226485 | − | 0.495932i | ||||
\(700\) | 4.43787e8 | + | 1.51140e9i | 1.29384 | + | 4.40642i | ||||
\(701\) | −4.82252e8 | − | 4.17874e8i | −1.39997 | − | 1.21308i | −0.946866 | − | 0.321628i | \(-0.895770\pi\) |
−0.453107 | − | 0.891456i | \(-0.649685\pi\) | |||||||
\(702\) | −4.74726e6 | + | 5.47863e6i | −0.0137225 | + | 0.0158366i | ||||
\(703\) | 4.11655e8 | − | 1.20873e8i | 1.18486 | − | 0.347907i | ||||
\(704\) | −1.07754e9 | + | 4.92095e8i | −3.08827 | + | 1.41036i | ||||
\(705\) | 2.25341e7 | + | 3.50638e7i | 0.0643093 | + | 0.100067i | ||||
\(706\) | 1.03478e9 | + | 3.03839e8i | 2.94059 | + | 0.863434i | ||||
\(707\) | 5.94123e8 | − | 8.54220e7i | 1.68119 | − | 0.241719i | ||||
\(708\) | −1.11377e8 | + | 2.43882e8i | −0.313831 | + | 0.687194i | ||||
\(709\) | −3.44624e8 | − | 4.95494e7i | −0.966956 | − | 0.139027i | −0.359295 | − | 0.933224i | \(-0.616983\pi\) |
−0.607661 | + | 0.794197i | \(0.707892\pi\) | |||||||
\(710\) | 1.71951e8 | − | 2.67560e8i | 0.480428 | − | 0.747561i | ||||
\(711\) | −7.92558e7 | + | 6.86755e7i | −0.220507 | + | 0.191070i | ||||
\(712\) | 1.16952e9i | 3.24016i | ||||||||
\(713\) | 1.66745e8 | − | 3.95740e8i | 0.460029 | − | 1.09180i | ||||
\(714\) | 1.07847e8 | 0.296287 | ||||||||
\(715\) | 3.76536e6 | + | 4.34546e6i | 0.0103012 | + | 0.0118882i | ||||
\(716\) | 5.51874e8 | + | 3.54668e8i | 1.50349 | + | 0.966235i | ||||
\(717\) | 1.39386e7 | − | 9.69451e7i | 0.0378148 | − | 0.263008i | ||||
\(718\) | −1.24203e8 | − | 5.67214e7i | −0.335550 | − | 0.153241i | ||||
\(719\) | 1.36279e7 | + | 9.47841e7i | 0.0366642 | + | 0.255005i | 0.999907 | − | 0.0136267i | \(-0.00433765\pi\) |
−0.963243 | + | 0.268632i | \(0.913429\pi\) | |||||||
\(720\) | −3.10067e7 | + | 1.05599e8i | −0.0830726 | + | 0.282919i | ||||
\(721\) | −7.72201e8 | + | 4.96263e8i | −2.06027 | + | 1.32406i | ||||
\(722\) | −4.26487e8 | − | 9.33876e8i | −1.13317 | − | 2.48129i | ||||
\(723\) | 1.32752e7 | + | 4.52113e7i | 0.0351259 | + | 0.119628i | ||||
\(724\) | −6.49618e8 | − | 5.62897e8i | −1.71176 | − | 1.48325i | ||||
\(725\) | 1.07589e8 | − | 1.24164e8i | 0.282328 | − | 0.325823i | ||||
\(726\) | −7.24261e7 | + | 2.12662e7i | −0.189271 | + | 0.0555751i | ||||
\(727\) | −2.66282e7 | + | 1.21607e7i | −0.0693007 | + | 0.0316486i | −0.449764 | − | 0.893147i | \(-0.648492\pi\) |
0.380463 | + | 0.924796i | \(0.375765\pi\) | |||||||
\(728\) | 6.98136e7 | + | 1.08632e8i | 0.180945 | + | 0.281555i | ||||
\(729\) | −1.37677e7 | − | 4.04255e6i | −0.0355368 | − | 0.0104345i | ||||
\(730\) | 3.09160e8 | − | 4.44504e7i | 0.794720 | − | 0.114263i | ||||
\(731\) | −3.34213e7 | + | 7.31825e7i | −0.0855601 | + | 0.187351i | ||||
\(732\) | −2.64111e7 | − | 3.79734e6i | −0.0673368 | − | 0.00968158i | ||||
\(733\) | −2.01860e8 | + | 3.14100e8i | −0.512552 | + | 0.797547i | −0.997010 | − | 0.0772674i | \(-0.975380\pi\) |
0.484458 | + | 0.874815i | \(0.339017\pi\) | |||||||
\(734\) | 2.10860e8 | − | 1.82712e8i | 0.533221 | − | 0.462038i | ||||
\(735\) | − | 1.39086e8i | − | 0.350284i | ||||||
\(736\) | −1.17595e9 | − | 7.07416e8i | −2.94954 | − | 1.77436i | ||||
\(737\) | 7.32704e6 | 0.0183032 | ||||||||
\(738\) | −4.00829e7 | − | 4.62581e7i | −0.0997217 | − | 0.115085i | ||||
\(739\) | −5.35839e8 | − | 3.44363e8i | −1.32770 | − | 0.853263i | −0.331771 | − | 0.943360i | \(-0.607646\pi\) |
−0.995933 | + | 0.0900966i | \(0.971282\pi\) | |||||||
\(740\) | 3.11767e7 | − | 2.16839e8i | 0.0769370 | − | 0.535108i | ||||
\(741\) | −1.89008e7 | − | 8.63172e6i | −0.0464544 | − | 0.0212150i | ||||
\(742\) | −2.71167e8 | − | 1.88601e9i | −0.663781 | − | 4.61670i | ||||
\(743\) | 1.89319e8 | − | 6.44763e8i | 0.461560 | − | 1.57193i | −0.319570 | − | 0.947563i | \(-0.603538\pi\) |
0.781130 | − | 0.624368i | \(-0.214643\pi\) | |||||||
\(744\) | 7.59387e8 | − | 4.88028e8i | 1.84393 | − | 1.18502i | ||||
\(745\) | −7.19401e7 | − | 1.57527e8i | −0.173981 | − | 0.380966i | ||||
\(746\) | 3.39894e7 | + | 1.15757e8i | 0.0818703 | + | 0.278825i | ||||
\(747\) | 6.22416e7 | + | 5.39327e7i | 0.149320 | + | 0.129387i | ||||
\(748\) | −1.15818e8 | + | 1.33661e8i | −0.276738 | + | 0.319373i | ||||
\(749\) | 7.09586e8 | − | 2.08353e8i | 1.68873 | − | 0.495855i | ||||
\(750\) | −2.09523e8 | + | 9.56861e7i | −0.496648 | + | 0.226812i | ||||
\(751\) | −2.80990e8 | − | 4.37229e8i | −0.663393 | − | 1.03226i | −0.996014 | − | 0.0891985i | \(-0.971569\pi\) |
0.332621 | − | 0.943060i | \(-0.392067\pi\) | |||||||
\(752\) | −1.14325e9 | − | 3.35689e8i | −2.68837 | − | 0.789376i | ||||
\(753\) | 6.69928e7 | − | 9.63210e6i | 0.156907 | − | 0.0225599i | ||||
\(754\) | 8.94078e6 | − | 1.95776e7i | 0.0208575 | − | 0.0456714i | ||||
\(755\) | −1.15639e8 | − | 1.66264e7i | −0.268697 | − | 0.0386328i | ||||
\(756\) | −2.20824e8 | + | 3.43609e8i | −0.511070 | + | 0.795241i | ||||
\(757\) | 2.73697e8 | − | 2.37160e8i | 0.630931 | − | 0.546705i | −0.279615 | − | 0.960112i | \(-0.590207\pi\) |
0.910546 | + | 0.413407i | \(0.135661\pi\) | |||||||
\(758\) | 6.76058e8i | 1.55230i | ||||||||
\(759\) | −2.12319e8 | − | 1.73236e8i | −0.485584 | − | 0.396199i | ||||
\(760\) | −5.58495e8 | −1.27227 | ||||||||
\(761\) | −1.99020e8 | − | 2.29682e8i | −0.451589 | − | 0.521161i | 0.483610 | − | 0.875283i | \(-0.339325\pi\) |
−0.935199 | + | 0.354122i | \(0.884780\pi\) | |||||||
\(762\) | 2.97202e8 | + | 1.91000e8i | 0.671717 | + | 0.431686i | ||||
\(763\) | −5.89241e7 | + | 4.09826e8i | −0.132654 | + | 0.922627i | ||||
\(764\) | 9.91899e8 | + | 4.52985e8i | 2.22427 | + | 1.01579i | ||||
\(765\) | 789131. | + | 5.48853e6i | 0.00176264 | + | 0.0122595i | ||||
\(766\) | 1.00212e8 | − | 3.41292e8i | 0.222964 | − | 0.759346i | ||||
\(767\) | −1.05614e7 | + | 6.78740e6i | −0.0234065 | + | 0.0150424i | ||||
\(768\) | −1.91393e8 | − | 4.19093e8i | −0.422516 | − | 0.925181i | ||||
\(769\) | −9.84248e7 | − | 3.35204e8i | −0.216434 | − | 0.737106i | −0.994104 | − | 0.108433i | \(-0.965417\pi\) |
0.777670 | − | 0.628673i | \(-0.216402\pi\) | |||||||
\(770\) | 3.36462e8 | + | 2.91546e8i | 0.736994 | + | 0.638609i | ||||
\(771\) | −2.73389e8 | + | 3.15508e8i | −0.596511 | + | 0.688410i | ||||
\(772\) | 1.97346e8 | − | 5.79460e7i | 0.428920 | − | 0.125942i | ||||
\(773\) | 2.79839e8 | − | 1.27798e8i | 0.605855 | − | 0.276685i | −0.0887750 | − | 0.996052i | \(-0.528295\pi\) |
0.694630 | + | 0.719367i | \(0.255568\pi\) | |||||||
\(774\) | −2.26379e8 | − | 3.52253e8i | −0.488218 | − | 0.759683i | ||||
\(775\) | 4.94727e8 | + | 1.45265e8i | 1.06282 | + | 0.312073i | ||||
\(776\) | 9.31492e8 | − | 1.33928e8i | 1.99340 | − | 0.286607i | ||||
\(777\) | 1.64050e8 | − | 3.59220e8i | 0.349715 | − | 0.765769i | ||||
\(778\) | −6.11564e8 | − | 8.79296e7i | −1.29868 | − | 0.186722i | ||||
\(779\) | 9.48505e7 | − | 1.47590e8i | 0.200644 | − | 0.312209i | ||||
\(780\) | −8.01828e6 | + | 6.94788e6i | −0.0168965 | + | 0.0146409i | ||||
\(781\) | 9.40214e8i | 1.97367i | ||||||||
\(782\) | −1.32654e8 | − | 1.50777e7i | −0.277396 | − | 0.0315293i | ||||
\(783\) | 4.26008e7 | 0.0887426 | ||||||||
\(784\) | 2.60375e9 | + | 3.00489e9i | 5.40321 | + | 6.23563i | ||||
\(785\) | 1.34473e8 | + | 8.64208e7i | 0.277989 | + | 0.178653i | ||||
\(786\) | −1.11932e8 | + | 7.78501e8i | −0.230508 | + | 1.60322i | ||||
\(787\) | −3.84329e8 | − | 1.75517e8i | −0.788459 | − | 0.360077i | −0.0198555 | − | 0.999803i | \(-0.506321\pi\) |
−0.768603 | + | 0.639726i | \(0.779048\pi\) | |||||||
\(788\) | −5.42897e7 | − | 3.77593e8i | −0.110953 | − | 0.771694i | ||||
\(789\) | 6.14460e7 | − | 2.09266e8i | 0.125102 | − | 0.426057i | ||||
\(790\) | −1.77438e8 | + | 1.14032e8i | −0.359886 | + | 0.231285i | ||||
\(791\) | 2.51581e8 | + | 5.50885e8i | 0.508333 | + | 1.11309i | ||||
\(792\) | −1.62281e8 | − | 5.52678e8i | −0.326657 | − | 1.11249i | ||||
\(793\) | −944253. | − | 818200.i | −0.00189352 | − | 0.00164074i | ||||
\(794\) | −1.04037e9 | + | 1.20066e9i | −2.07840 | + | 2.39860i | ||||
\(795\) | 9.39980e7 | − | 2.76003e7i | 0.187076 | − | 0.0549304i | ||||
\(796\) | 1.31426e9 | − | 6.00201e8i | 2.60580 | − | 1.19003i | ||||
\(797\) | 6.74195e7 | + | 1.04907e8i | 0.133171 | + | 0.207218i | 0.901434 | − | 0.432916i | \(-0.142515\pi\) |
−0.768263 | + | 0.640134i | \(0.778879\pi\) | |||||||
\(798\) | −1.54368e9 | − | 4.53265e8i | −3.03773 | − | 0.891957i | ||||
\(799\) | −5.94207e7 | + | 8.54341e6i | −0.116492 | + | 0.0167491i | ||||
\(800\) | 6.84490e8 | − | 1.49882e9i | 1.33689 | − | 2.92739i | ||||
\(801\) | −1.71455e8 | − | 2.46515e7i | −0.333620 | − | 0.0479674i | ||||
\(802\) | −5.07504e8 | + | 7.89691e8i | −0.983821 | + | 1.53086i | ||||
\(803\) | −6.97808e8 | + | 6.04654e8i | −1.34769 | + | 1.16778i | ||||
\(804\) | 1.35199e7i | 0.0260139i | ||||||||
\(805\) | −2.76191e7 | + | 2.42994e8i | −0.0529447 | + | 0.465810i | ||||
\(806\) | 6.75459e7 | 0.129001 | ||||||||
\(807\) | 6.47871e7 | + | 7.47683e7i | 0.123273 | + | 0.142265i | ||||
\(808\) | −1.31397e9 | − | 8.44437e8i | −2.49087 | − | 1.60079i | ||||
\(809\) | −6.04166e7 | + | 4.20207e8i | −0.114107 | + | 0.793629i | 0.849746 | + | 0.527192i | \(0.176755\pi\) |
−0.963853 | + | 0.266436i | \(0.914154\pi\) | |||||||
\(810\) | −2.62513e7 | − | 1.19886e7i | −0.0493965 | − | 0.0225586i | ||||
\(811\) | −1.14370e8 | − | 7.95463e8i | −0.214413 | − | 1.49127i | −0.758184 | − | 0.652040i | \(-0.773913\pi\) |
0.543772 | − | 0.839233i | \(-0.316996\pi\) | |||||||
\(812\) | 3.41643e8 | − | 1.16353e9i | 0.638123 | − | 2.17325i | ||||
\(813\) | 3.94486e8 | − | 2.53521e8i | 0.734108 | − | 0.471782i | ||||
\(814\) | 3.69702e8 | + | 8.09535e8i | 0.685455 | + | 1.50094i | ||||
\(815\) | 3.94803e7 | + | 1.34458e8i | 0.0729303 | + | 0.248378i | ||||
\(816\) | −1.19797e8 | − | 1.03805e8i | −0.220483 | − | 0.191049i | ||||
\(817\) | 7.85956e8 | − | 9.07041e8i | 1.44123 | − | 1.66326i | ||||
\(818\) | −9.54551e8 | + | 2.80281e8i | −1.74397 | + | 0.512076i | ||||
\(819\) | −1.73974e7 | + | 7.94512e6i | −0.0316689 | + | 0.0144627i | ||||
\(820\) | −4.84315e7 | − | 7.53609e7i | −0.0878388 | − | 0.136680i | ||||
\(821\) | −1.50300e8 | − | 4.41321e7i | −0.271600 | − | 0.0797489i | 0.143097 | − | 0.989709i | \(-0.454294\pi\) |
−0.414696 | + | 0.909960i | \(0.636112\pi\) | |||||||
\(822\) | 6.66450e8 | − | 9.58211e7i | 1.19992 | − | 0.172522i | ||||
\(823\) | −2.90964e7 | + | 6.37122e7i | −0.0521963 | + | 0.114294i | −0.933933 | − | 0.357447i | \(-0.883647\pi\) |
0.881737 | + | 0.471741i | \(0.156374\pi\) | |||||||
\(824\) | 2.36428e9 | + | 3.39933e8i | 4.22589 | + | 0.607591i | ||||
\(825\) | 1.77880e8 | − | 2.76787e8i | 0.316786 | − | 0.492928i | ||||
\(826\) | −7.34637e8 | + | 6.36567e8i | −1.30357 | + | 1.12955i | ||||
\(827\) | 2.30121e8i | 0.406855i | 0.979090 | + | 0.203428i | \(0.0652081\pi\) | ||||
−0.979090 | + | 0.203428i | \(0.934792\pi\) | |||||||
\(828\) | 3.19657e8 | − | 3.91774e8i | 0.563110 | − | 0.690151i | ||||
\(829\) | 3.79895e8 | 0.666807 | 0.333403 | − | 0.942784i | \(-0.391803\pi\) | ||||
0.333403 | + | 0.942784i | \(0.391803\pi\) | |||||||
\(830\) | 1.08472e8 | + | 1.25184e8i | 0.189708 | + | 0.218934i | ||||
\(831\) | −6.38794e7 | − | 4.10528e7i | −0.111316 | − | 0.0715385i | ||||
\(832\) | 1.45661e7 | − | 1.01310e8i | 0.0252915 | − | 0.175906i | ||||
\(833\) | 1.82220e8 | + | 8.32172e7i | 0.315255 | + | 0.143972i | ||||
\(834\) | 6.10433e7 | + | 4.24565e8i | 0.105230 | + | 0.731891i | ||||
\(835\) | 1.80779e7 | − | 6.15677e7i | 0.0310519 | − | 0.105753i | ||||
\(836\) | 2.21952e9 | − | 1.42640e9i | 3.79875 | − | 2.44131i | ||||
\(837\) | 5.55399e7 | + | 1.21616e8i | 0.0947172 | + | 0.207402i | ||||
\(838\) | −1.88056e8 | − | 6.40460e8i | −0.319562 | − | 1.08833i | ||||
\(839\) | −1.26377e8 | − | 1.09506e8i | −0.213984 | − | 0.185418i | 0.541273 | − | 0.840847i | \(-0.317942\pi\) |
−0.755257 | + | 0.655429i | \(0.772488\pi\) | |||||||
\(840\) | −3.36644e8 | + | 3.88508e8i | −0.567981 | + | 0.655484i | ||||
\(841\) | 4.49374e8 | − | 1.31948e8i | 0.755474 | − | 0.221827i | ||||
\(842\) | −7.21389e8 | + | 3.29447e8i | −1.20846 | + | 0.551886i | ||||
\(843\) | 2.37540e8 | + | 3.69619e8i | 0.396509 | + | 0.616980i | ||||
\(844\) | −9.75198e8 | − | 2.86344e8i | −1.62205 | − | 0.476278i | ||||
\(845\) | 1.51821e8 | − | 2.18286e7i | 0.251630 | − | 0.0361790i | ||||
\(846\) | 1.29793e8 | − | 2.84206e8i | 0.214358 | − | 0.469377i | ||||
\(847\) | −1.97121e8 | − | 2.83418e7i | −0.324402 | − | 0.0466420i | ||||
\(848\) | −1.51410e9 | + | 2.35598e9i | −2.48294 | + | 3.86353i | ||||
\(849\) | −1.32933e8 | + | 1.15187e8i | −0.217224 | + | 0.188226i | ||||
\(850\) | − | 1.60301e8i | − | 0.261023i | ||||||
\(851\) | −2.52007e8 | + | 4.18914e8i | −0.408906 | + | 0.679729i | ||||
\(852\) | −1.73489e9 | −2.80514 | ||||||||
\(853\) | 7.18104e7 | + | 8.28736e7i | 0.115702 | + | 0.133527i | 0.810646 | − | 0.585537i | \(-0.199116\pi\) |
−0.694944 | + | 0.719064i | \(0.744571\pi\) | |||||||
\(854\) | −8.13837e7 | − | 5.23022e7i | −0.130666 | − | 0.0839742i | ||||
\(855\) | 1.17722e7 | − | 8.18773e7i | 0.0188347 | − | 0.130998i | ||||
\(856\) | −1.75052e9 | − | 7.99438e8i | −2.79092 | − | 1.27457i | ||||
\(857\) | 7.90725e7 | + | 5.49961e8i | 0.125627 | + | 0.873755i | 0.951005 | + | 0.309175i | \(0.100053\pi\) |
−0.825378 | + | 0.564580i | \(0.809038\pi\) | |||||||
\(858\) | 1.21431e7 | − | 4.13557e7i | 0.0192251 | − | 0.0654747i | ||||
\(859\) | 2.78877e8 | − | 1.79223e8i | 0.439980 | − | 0.282758i | −0.301838 | − | 0.953359i | \(-0.597600\pi\) |
0.741818 | + | 0.670601i | \(0.233964\pi\) | |||||||
\(860\) | −2.54577e8 | − | 5.57446e8i | −0.400243 | − | 0.876411i | ||||
\(861\) | −4.54958e7 | − | 1.54944e8i | −0.0712790 | − | 0.242754i | ||||
\(862\) | 8.39612e8 | + | 7.27528e8i | 1.31086 | + | 1.13587i | ||||
\(863\) | 6.09941e8 | − | 7.03910e8i | 0.948977 | − | 1.09518i | −0.0463801 | − | 0.998924i | \(-0.514769\pi\) |
0.995357 | − | 0.0962537i | \(-0.0306860\pi\) | |||||||
\(864\) | 4.09945e8 | − | 1.20371e8i | 0.635601 | − | 0.186629i | ||||
\(865\) | −9.42858e7 | + | 4.30589e7i | −0.145679 | + | 0.0665296i | ||||
\(866\) | −4.97719e8 | − | 7.74466e8i | −0.766356 | − | 1.19247i | ||||
\(867\) | 3.53363e8 | + | 1.03757e8i | 0.542206 | + | 0.159206i | ||||
\(868\) | 3.76702e9 | − | 5.41616e8i | 5.76022 | − | 0.828195i | ||||
\(869\) | 2.59020e8 | − | 5.67176e8i | 0.394707 | − | 0.864288i | ||||
\(870\) | 8.48088e7 | + | 1.21937e7i | 0.128790 | + | 0.0185173i | ||||
\(871\) | −342266. | + | 532577.i | −0.000517976 | + | 0.000805987i | ||||
\(872\) | 8.14254e8 | − | 7.05555e8i | 1.22803 | − | 1.06410i | ||||
\(873\) | 1.39383e8i | 0.209492i | ||||||||
\(874\) | 1.83539e9 | + | 7.73343e8i | 2.74913 | + | 1.15835i | ||||
\(875\) | −6.07702e8 | −0.907124 | ||||||||
\(876\) | −1.11571e9 | − | 1.28760e9i | −1.65974 | − | 1.91544i | ||||
\(877\) | 3.32699e8 | + | 2.13812e8i | 0.493233 | + | 0.316982i | 0.763504 | − | 0.645803i | \(-0.223477\pi\) |
−0.270271 | + | 0.962784i | \(0.587113\pi\) | |||||||
\(878\) | −2.22974e8 | + | 1.55082e9i | −0.329436 | + | 2.29128i | ||||
\(879\) | 5.96704e8 | + | 2.72505e8i | 0.878602 | + | 0.401244i | ||||
\(880\) | −9.31253e7 | − | 6.47701e8i | −0.136653 | − | 0.950443i | ||||
\(881\) | 6.45107e7 | − | 2.19703e8i | 0.0943418 | − | 0.321299i | −0.898778 | − | 0.438405i | \(-0.855544\pi\) |
0.993119 | + | 0.117106i | \(0.0373618\pi\) | |||||||
\(882\) | −8.77091e8 | + | 5.63672e8i | −1.27832 | + | 0.821525i | ||||
\(883\) | −2.51878e8 | − | 5.51537e8i | −0.365855 | − | 0.801111i | −0.999619 | − | 0.0275845i | \(-0.991218\pi\) |
0.633765 | − | 0.773526i | \(-0.281509\pi\) | |||||||
\(884\) | −4.30516e6 | − | 1.46620e7i | −0.00623207 | − | 0.0212245i | ||||
\(885\) | −3.77715e7 | − | 3.27292e7i | −0.0544922 | − | 0.0472177i | ||||
\(886\) | −1.61501e9 | + | 1.86382e9i | −2.32206 | + | 2.67980i | ||||
\(887\) | −1.06091e9 | + | 3.11512e8i | −1.52023 | + | 0.446379i | −0.932043 | − | 0.362347i | \(-0.881976\pi\) |
−0.588185 | + | 0.808726i | \(0.700157\pi\) | |||||||
\(888\) | −9.34760e8 | + | 4.26890e8i | −1.33494 | + | 0.609646i | ||||
\(889\) | 5.03915e8 | + | 7.84107e8i | 0.717219 | + | 1.11601i | ||||
\(890\) | −3.34274e8 | − | 9.81516e7i | −0.474168 | − | 0.139228i | ||||
\(891\) | 8.44451e7 | − | 1.21414e7i | 0.119383 | − | 0.0171646i | ||||
\(892\) | −1.40168e9 | + | 3.06925e9i | −1.97494 | + | 4.32452i | ||||
\(893\) | 8.86432e8 | + | 1.27450e8i | 1.24478 | + | 0.178972i | ||||
\(894\) | −7.01832e8 | + | 1.09207e9i | −0.982247 | + | 1.52841i | ||||
\(895\) | −9.24195e7 | + | 8.00820e7i | −0.128912 | + | 0.111703i | ||||
\(896\) | − | 3.37363e9i | − | 4.69000i | ||||||
\(897\) | 2.25100e7 | − | 7.34042e6i | 0.0311887 | − | 0.0101705i | ||||
\(898\) | 9.97150e8 | 1.37699 | ||||||||
\(899\) | −2.59939e8 | − | 2.99985e8i | −0.357760 | − | 0.412877i | ||||
\(900\) | 5.10730e8 | + | 3.28226e8i | 0.700590 | + | 0.450242i | ||||
\(901\) | −2.00806e7 | + | 1.39663e8i | −0.0274537 | + | 0.190945i | ||||
\(902\) | 3.31035e8 | + | 1.51179e8i | 0.451081 | + | 0.206002i | ||||
\(903\) | −1.57218e8 | − | 1.09348e9i | −0.213520 | − | 1.48507i | ||||
\(904\) | 4.43989e8 | − | 1.51209e9i | 0.600989 | − | 2.04678i | ||||
\(905\) | 1.34797e8 | − | 8.66286e7i | 0.181859 | − | 0.116873i | ||||
\(906\) | 3.63802e8 | + | 7.96615e8i | 0.489193 | + | 1.07118i | ||||
\(907\) | 1.23467e8 | + | 4.20488e8i | 0.165473 | + | 0.563550i | 0.999922 | + | 0.0124647i | \(0.00396775\pi\) |
−0.834449 | + | 0.551085i | \(0.814214\pi\) | |||||||
\(908\) | −5.48868e7 | − | 4.75597e7i | −0.0733180 | − | 0.0635304i | ||||
\(909\) | 1.51494e8 | − | 1.74833e8i | 0.201699 | − | 0.232773i | ||||
\(910\) | −3.69085e7 | + | 1.08373e7i | −0.0489782 | + | 0.0143813i | ||||
\(911\) | −2.29705e8 | + | 1.04903e8i | −0.303819 | + | 0.138749i | −0.561491 | − | 0.827483i | \(-0.689772\pi\) |
0.257672 | + | 0.966232i | \(0.417045\pi\) | |||||||
\(912\) | 1.27845e9 | + | 1.98931e9i | 1.68539 | + | 2.62251i | ||||
\(913\) | −4.69833e8 | − | 1.37956e8i | −0.617350 | − | 0.181270i | ||||
\(914\) | −2.61168e9 | + | 3.75502e8i | −3.42043 | + | 0.491783i | ||||
\(915\) | 2.06625e6 | − | 4.52447e6i | 0.00269725 | − | 0.00590614i | ||||
\(916\) | 9.85673e8 | + | 1.41718e8i | 1.28247 | + | 0.184391i | ||||
\(917\) | −1.12185e9 | + | 1.74564e9i | −1.45488 | + | 2.26384i | ||||
\(918\) | 3.14132e7 | − | 2.72197e7i | 0.0406054 | − | 0.0351848i | ||||
\(919\) | 2.32737e8i | 0.299861i | 0.988697 | + | 0.149930i | \(0.0479050\pi\) | ||||
−0.988697 | + | 0.149930i | \(0.952095\pi\) | |||||||
\(920\) | 4.68396e8 | − | 4.30809e8i | 0.601520 | − | 0.553250i | ||||
\(921\) | −1.72958e8 | −0.221392 | ||||||||
\(922\) | 8.15683e8 | + | 9.41348e8i | 1.04071 | + | 1.20104i | ||||
\(923\) | −6.83409e7 | − | 4.39200e7i | −0.0869112 | − | 0.0558544i | ||||
\(924\) | 3.45610e8 | − | 2.40377e9i | 0.438097 | − | 3.04703i | ||||
\(925\) | −5.33935e8 | − | 2.43840e8i | −0.674626 | − | 0.308091i | ||||
\(926\) | −2.83350e8 | − | 1.97074e9i | −0.356853 | − | 2.48197i | ||||
\(927\) | −9.96705e7 | + | 3.39447e8i | −0.125120 | + | 0.426120i | ||||
\(928\) | −1.06711e9 | + | 6.85790e8i | −1.33526 | + | 0.858119i | ||||
\(929\) | 2.84343e8 | + | 6.22625e8i | 0.354647 | + | 0.776568i | 0.999920 | + | 0.0126165i | \(0.00401607\pi\) |
−0.645274 | + | 0.763951i | \(0.723257\pi\) | |||||||
\(930\) | 7.57577e7 | + | 2.58007e8i | 0.0941842 | + | 0.320762i | ||||
\(931\) | −2.25848e9 | − | 1.95699e9i | −2.79877 | − | 2.42515i | ||||
\(932\) | −1.33777e9 | + | 1.54387e9i | −1.65247 | + | 1.90705i | ||||
\(933\) | 6.58724e8 | − | 1.93419e8i | 0.811070 | − | 0.238152i | ||||
\(934\) | 1.47089e9 | − | 6.71731e8i | 1.80525 | − | 0.824432i | ||||
\(935\) | −1.78241e7 | − | 2.77348e7i | −0.0218058 | − | 0.0339305i | ||||
\(936\) | 4.77529e7 | + | 1.40215e7i | 0.0582334 | + | 0.0170989i | ||||
\(937\) | −6.63762e8 | + | 9.54345e7i | −0.806851 | + | 0.116008i | −0.533384 | − | 0.845874i | \(-0.679080\pi\) |
−0.273468 | + | 0.961881i | \(0.588171\pi\) | |||||||
\(938\) | −2.03628e7 | + | 4.45884e7i | −0.0246734 | + | 0.0540273i | ||||
\(939\) | −5.87227e7 | − | 8.44305e6i | −0.0709267 | − | 0.0101977i | ||||
\(940\) | 2.47221e8 | − | 3.84684e8i | 0.297647 | − | 0.463148i | ||||
\(941\) | 7.86447e8 | − | 6.81460e8i | 0.943845 | − | 0.817846i | −0.0395702 | − | 0.999217i | \(-0.512599\pi\) |
0.983415 | + | 0.181371i | \(0.0580534\pi\) | |||||||
\(942\) | − | 1.19824e9i | − | 1.43348i | ||||||
\(943\) | 3.42986e7 | + | 1.96946e8i | 0.0409017 | + | 0.234861i | ||||
\(944\) | 1.42874e9 | 1.69839 | ||||||||
\(945\) | −4.98607e7 | − | 5.75423e7i | −0.0590831 | − | 0.0681855i | ||||
\(946\) | 2.09437e9 | + | 1.34597e9i | 2.47389 | + | 1.58987i | ||||
\(947\) | −7.93518e7 | + | 5.51904e8i | −0.0934344 | + | 0.649850i | 0.888253 | + | 0.459354i | \(0.151919\pi\) |
−0.981688 | + | 0.190497i | \(0.938990\pi\) | |||||||
\(948\) | 1.04656e9 | + | 4.77947e8i | 1.22840 | + | 0.560990i | ||||
\(949\) | −1.13536e7 | − | 7.89663e7i | −0.0132842 | − | 0.0923939i | ||||
\(950\) | −6.73721e8 | + | 2.29448e9i | −0.785795 | + | 2.67617i | ||||
\(951\) | −1.87403e8 | + | 1.20437e8i | −0.217889 | + | 0.140029i | ||||
\(952\) | −3.07577e8 | − | 6.73499e8i | −0.356486 | − | 0.780595i | ||||
\(953\) | 1.58063e7 | + | 5.38312e7i | 0.0182621 | + | 0.0621950i | 0.968120 | − | 0.250487i | \(-0.0805908\pi\) |
−0.949858 | + | 0.312682i | \(0.898773\pi\) | |||||||
\(954\) | −5.54997e8 | − | 4.80907e8i | −0.639213 | − | 0.553881i | ||||
\(955\) | −1.33114e8 | + | 1.53622e8i | −0.152832 | + | 0.176377i | ||||
\(956\) | −1.03099e9 | + | 3.02727e8i | −1.18000 | + | 0.346479i | ||||
\(957\) | −2.30400e8 | + | 1.05220e8i | −0.262873 | + | 0.120050i | ||||
\(958\) | −7.28359e8 | − | 1.13335e9i | −0.828417 | − | 1.28904i | ||||
\(959\) | 1.70442e9 | + | 5.00463e8i | 1.93251 | + | 0.567435i | ||||
\(960\) | 4.03313e8 | − | 5.79877e7i | 0.455857 | − | 0.0655423i | ||||
\(961\) | 1.48817e8 | − | 3.25864e8i | 0.167680 | − | 0.367169i | ||||
\(962\) | −7.61121e7 | − | 1.09433e7i | −0.0854926 | − | 0.0122920i | ||||
\(963\) | 1.54099e8 | − | 2.39782e8i | 0.172552 | − | 0.268496i | ||||
\(964\) | 3.90686e8 | − | 3.38531e8i | 0.436110 | − | 0.377892i | ||||
\(965\) | 3.83406e7i | 0.0426655i | ||||||||
\(966\) | 1.64428e9 | − | 8.10614e8i | 1.82409 | − | 0.899254i | ||||
\(967\) | 4.61731e8 | 0.510634 | 0.255317 | − | 0.966857i | \(-0.417820\pi\) | ||||
0.255317 | + | 0.966857i | \(0.417820\pi\) | |||||||
\(968\) | 3.39364e8 | + | 3.91647e8i | 0.374144 | + | 0.431786i | ||||
\(969\) | 1.00226e8 | + | 6.44116e7i | 0.110157 | + | 0.0707934i | ||||
\(970\) | −3.98957e7 | + | 2.77481e8i | −0.0437131 | + | 0.304031i | ||||
\(971\) | 1.50541e9 | + | 6.87496e8i | 1.64436 | + | 0.750952i | 0.999906 | − | 0.0136940i | \(-0.00435907\pi\) |
0.644450 | + | 0.764646i | \(0.277086\pi\) | |||||||
\(972\) | 2.24034e7 | + | 1.55819e8i | 0.0243958 | + | 0.169676i | ||||
\(973\) | −3.18822e8 | + | 1.08581e9i | −0.346107 | + | 1.17873i | ||||
\(974\) | 2.56772e9 | − | 1.65017e9i | 2.77888 | − | 1.78588i | ||||
\(975\) | 1.18094e7 | + | 2.58590e7i | 0.0127413 | + | 0.0278996i | ||||
\(976\) | 4.00596e7 | + | 1.36431e8i | 0.0430881 | + | 0.146745i | ||||
\(977\) | −5.95654e8 | − | 5.16138e8i | −0.638720 | − | 0.553454i | 0.274159 | − | 0.961684i | \(-0.411601\pi\) |
−0.912879 | + | 0.408230i | \(0.866146\pi\) | |||||||
\(978\) | 6.87905e8 | − | 7.93885e8i | 0.735380 | − | 0.848674i | ||||
\(979\) | 9.88176e8 | − | 2.90155e8i | 1.05314 | − | 0.309230i | ||||
\(980\) | −1.38801e9 | + | 6.33883e8i | −1.47474 | + | 0.673490i | ||||
\(981\) | 8.62736e7 | + | 1.34244e8i | 0.0913842 | + | 0.142197i | ||||
\(982\) | −9.13544e8 | − | 2.68241e8i | −0.964706 | − | 0.283263i | ||||
\(983\) | −9.37760e8 | + | 1.34830e8i | −0.987259 | + | 0.141946i | −0.616984 | − | 0.786976i | \(-0.711646\pi\) |
−0.370275 | + | 0.928922i | \(0.620737\pi\) | |||||||
\(984\) | −1.74564e8 | + | 3.82242e8i | −0.183219 | + | 0.401193i | ||||
\(985\) | 7.03877e7 | + | 1.01202e7i | 0.0736526 | + | 0.0105896i | ||||
\(986\) | −6.67178e7 | + | 1.03815e8i | −0.0696003 | + | 0.108300i | ||||
\(987\) | 6.22973e8 | − | 5.39809e8i | 0.647915 | − | 0.561422i | ||||
\(988\) | 2.27961e8i | 0.236368i | ||||||||
\(989\) | 4.05070e7 | + | 1.36698e9i | 0.0418737 | + | 1.41310i | ||||
\(990\) | 1.71587e8 | 0.176839 | ||||||||
\(991\) | −1.96786e8 | − | 2.27103e8i | −0.202196 | − | 0.233346i | 0.645591 | − | 0.763683i | \(-0.276611\pi\) |
−0.847787 | + | 0.530337i | \(0.822066\pi\) | |||||||
\(992\) | −3.34900e9 | − | 2.15227e9i | −3.43068 | − | 2.20476i | ||||
\(993\) | −8.24934e6 | + | 5.73755e7i | −0.00842503 | + | 0.0585974i | ||||
\(994\) | −5.72163e9 | − | 2.61298e9i | −5.82587 | − | 2.66059i | ||||
\(995\) | 3.83299e7 | + | 2.66590e8i | 0.0389106 | + | 0.270629i | ||||
\(996\) | 2.54557e8 | − | 8.66941e8i | 0.257636 | − | 0.877428i | ||||
\(997\) | 1.28514e9 | − | 8.25909e8i | 1.29678 | − | 0.833387i | 0.303919 | − | 0.952698i | \(-0.401705\pi\) |
0.992857 | + | 0.119311i | \(0.0380686\pi\) | |||||||
\(998\) | −6.96233e8 | − | 1.52454e9i | −0.700427 | − | 1.53372i | ||||
\(999\) | −4.28804e7 | − | 1.46037e8i | −0.0430093 | − | 0.146476i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 69.7.f.a.10.1 | yes | 240 | |
23.7 | odd | 22 | inner | 69.7.f.a.7.1 | ✓ | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.7.f.a.7.1 | ✓ | 240 | 23.7 | odd | 22 | inner | |
69.7.f.a.10.1 | yes | 240 | 1.1 | even | 1 | trivial |