Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,7,Mod(2,69)]
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([11, 2]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.2");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.h (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: | \(460\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 2.14 | ||
Character | \(\chi\) | \(=\) | 69.2 |
Dual form | 69.7.h.a.35.14 |
$q$-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 \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{1}{11}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.82614 | + | 5.95359i | −0.478267 | + | 0.744198i | −0.993620 | − | 0.112780i | \(-0.964025\pi\) |
0.515353 | + | 0.856978i | \(0.327661\pi\) | |||||||
\(3\) | 11.8375 | + | 24.2667i | 0.438425 | + | 0.898768i | ||||
\(4\) | 5.78070 | + | 12.6580i | 0.0903234 | + | 0.197781i | ||||
\(5\) | −31.2078 | + | 106.284i | −0.249663 | + | 0.850273i | 0.735335 | + | 0.677704i | \(0.237025\pi\) |
−0.984997 | + | 0.172569i | \(0.944793\pi\) | |||||||
\(6\) | −189.766 | − | 22.3724i | −0.878546 | − | 0.103576i | ||||
\(7\) | 23.3861 | − | 26.9890i | 0.0681812 | − | 0.0786853i | −0.720634 | − | 0.693315i | \(-0.756149\pi\) |
0.788815 | + | 0.614630i | \(0.210695\pi\) | |||||||
\(8\) | −545.799 | − | 78.4740i | −1.06601 | − | 0.153269i | ||||
\(9\) | −448.748 | + | 574.514i | −0.615567 | + | 0.788085i | ||||
\(10\) | −513.366 | − | 592.456i | −0.513366 | − | 0.592456i | ||||
\(11\) | −223.431 | − | 347.665i | −0.167867 | − | 0.261206i | 0.747120 | − | 0.664689i | \(-0.231436\pi\) |
−0.914987 | + | 0.403483i | \(0.867799\pi\) | |||||||
\(12\) | −238.738 | + | 290.117i | −0.138159 | + | 0.167892i | ||||
\(13\) | 1752.51 | + | 2022.51i | 0.797685 | + | 0.920578i | 0.998252 | − | 0.0591024i | \(-0.0188238\pi\) |
−0.200567 | + | 0.979680i | \(0.564278\pi\) | |||||||
\(14\) | 71.2030 | + | 242.495i | 0.0259486 | + | 0.0883729i | ||||
\(15\) | −2948.59 | + | 500.824i | −0.873656 | + | 0.148392i | ||||
\(16\) | 1972.29 | − | 2276.14i | 0.481516 | − | 0.555699i | ||||
\(17\) | −4125.39 | − | 1884.00i | −0.839688 | − | 0.383473i | −0.0513243 | − | 0.998682i | \(-0.516344\pi\) |
−0.788364 | + | 0.615209i | \(0.789071\pi\) | |||||||
\(18\) | −1703.44 | − | 4869.83i | −0.292086 | − | 0.835019i | ||||
\(19\) | 3513.30 | + | 7693.06i | 0.512218 | + | 1.12160i | 0.972303 | + | 0.233725i | \(0.0750917\pi\) |
−0.460085 | + | 0.887875i | \(0.652181\pi\) | |||||||
\(20\) | −1525.74 | + | 219.369i | −0.190718 | + | 0.0274211i | ||||
\(21\) | 931.769 | + | 248.023i | 0.100612 | + | 0.0267814i | ||||
\(22\) | 2924.73 | 0.274674 | ||||||||
\(23\) | 7428.56 | − | 9636.00i | 0.610550 | − | 0.791978i | ||||
\(24\) | −4556.57 | − | 14173.7i | −0.329613 | − | 1.02530i | ||||
\(25\) | 2822.20 | + | 1813.72i | 0.180621 | + | 0.116078i | ||||
\(26\) | −18746.5 | + | 2695.35i | −1.06660 | + | 0.153354i | ||||
\(27\) | −19253.6 | − | 4088.86i | −0.978185 | − | 0.207736i | ||||
\(28\) | 476.815 | + | 140.005i | 0.0217208 | + | 0.00637780i | ||||
\(29\) | −9105.81 | − | 4158.48i | −0.373357 | − | 0.170507i | 0.219894 | − | 0.975524i | \(-0.429429\pi\) |
−0.593252 | + | 0.805017i | \(0.702156\pi\) | |||||||
\(30\) | 8300.01 | − | 19470.9i | 0.307408 | − | 0.721145i | ||||
\(31\) | 7807.69 | − | 54303.7i | 0.262082 | − | 1.82282i | −0.255064 | − | 0.966924i | \(-0.582097\pi\) |
0.517146 | − | 0.855897i | \(-0.326994\pi\) | |||||||
\(32\) | −3937.46 | − | 13409.8i | −0.120162 | − | 0.409234i | ||||
\(33\) | 5791.83 | − | 9537.40i | 0.161166 | − | 0.265392i | ||||
\(34\) | 27000.9 | − | 17352.4i | 0.686975 | − | 0.441492i | ||||
\(35\) | 2138.68 | + | 3327.85i | 0.0498817 | + | 0.0776174i | ||||
\(36\) | −9866.25 | − | 2359.15i | −0.211468 | − | 0.0505648i | ||||
\(37\) | −23544.2 | + | 6913.21i | −0.464814 | + | 0.136482i | −0.505750 | − | 0.862680i | \(-0.668784\pi\) |
0.0409358 | + | 0.999162i | \(0.486966\pi\) | |||||||
\(38\) | −59243.7 | − | 8517.95i | −1.07967 | − | 0.155233i | ||||
\(39\) | −28334.3 | + | 66469.2i | −0.477660 | + | 1.12054i | ||||
\(40\) | 25373.7 | − | 55560.7i | 0.396465 | − | 0.868136i | ||||
\(41\) | −11408.0 | + | 38852.1i | −0.165523 | + | 0.563720i | 0.834398 | + | 0.551162i | \(0.185815\pi\) |
−0.999921 | + | 0.0125574i | \(0.996003\pi\) | |||||||
\(42\) | −5041.70 | + | 4598.40i | −0.0680502 | + | 0.0620667i | ||||
\(43\) | 518.663 | + | 3607.38i | 0.00652349 | + | 0.0453719i | 0.992823 | − | 0.119592i | \(-0.0381585\pi\) |
−0.986300 | + | 0.164963i | \(0.947249\pi\) | |||||||
\(44\) | 3109.14 | − | 4837.92i | 0.0364991 | − | 0.0567938i | ||||
\(45\) | −47057.2 | − | 65624.1i | −0.516403 | − | 0.720155i | ||||
\(46\) | 28946.1 | + | 81095.2i | 0.297383 | + | 0.833147i | ||||
\(47\) | 3012.91i | 0.0290196i | 0.999895 | + | 0.0145098i | \(0.00461878\pi\) | ||||
−0.999895 | + | 0.0145098i | \(0.995381\pi\) | |||||||
\(48\) | 78581.5 | + | 20917.2i | 0.710553 | + | 0.189139i | ||||
\(49\) | 16561.7 | + | 115189.i | 0.140772 | + | 0.979092i | ||||
\(50\) | −21596.3 | + | 9862.68i | −0.172770 | + | 0.0789014i | ||||
\(51\) | −3115.63 | − | 122411.i | −0.0234874 | − | 0.922809i | ||||
\(52\) | −15470.1 | + | 33874.8i | −0.110023 | + | 0.240916i | ||||
\(53\) | 138532. | + | 120038.i | 0.930512 | + | 0.806293i | 0.981314 | − | 0.192416i | \(-0.0616322\pi\) |
−0.0508017 | + | 0.998709i | \(0.516178\pi\) | |||||||
\(54\) | 98010.4 | − | 98983.5i | 0.622430 | − | 0.628610i | ||||
\(55\) | 43924.0 | − | 12897.3i | 0.264006 | − | 0.0775192i | ||||
\(56\) | −14882.1 | + | 12895.4i | −0.0847420 | + | 0.0734294i | ||||
\(57\) | −145097. | + | 176323.i | −0.783489 | + | 0.952102i | ||||
\(58\) | 59598.0 | − | 38301.3i | 0.305455 | − | 0.196304i | ||||
\(59\) | −21168.4 | + | 18342.5i | −0.103070 | + | 0.0893106i | −0.704871 | − | 0.709335i | \(-0.748995\pi\) |
0.601801 | + | 0.798646i | \(0.294450\pi\) | |||||||
\(60\) | −23384.3 | − | 34428.0i | −0.108261 | − | 0.159389i | ||||
\(61\) | −28439.2 | + | 197799.i | −0.125293 | + | 0.871434i | 0.826115 | + | 0.563502i | \(0.190546\pi\) |
−0.951408 | + | 0.307933i | \(0.900363\pi\) | |||||||
\(62\) | 293428. | + | 254257.i | 1.23120 | + | 1.06684i | ||||
\(63\) | 5011.09 | + | 25546.9i | 0.0200406 | + | 0.102169i | ||||
\(64\) | 279847. | + | 82170.5i | 1.06753 | + | 0.313455i | ||||
\(65\) | −269653. | + | 123146.i | −0.981895 | + | 0.448416i | ||||
\(66\) | 34621.4 | + | 70973.6i | 0.120424 | + | 0.246868i | ||||
\(67\) | −313888. | − | 201724.i | −1.04364 | − | 0.670707i | −0.0977555 | − | 0.995210i | \(-0.531166\pi\) |
−0.945884 | + | 0.324504i | \(0.894803\pi\) | |||||||
\(68\) | − | 63109.9i | − | 0.200711i | ||||||
\(69\) | 321769. | + | 66200.9i | 0.979485 | + | 0.201519i | ||||
\(70\) | −27995.5 | −0.0816195 | ||||||||
\(71\) | −217872. | + | 339015.i | −0.608731 | + | 0.947204i | 0.390910 | + | 0.920429i | \(0.372160\pi\) |
−0.999641 | + | 0.0267754i | \(0.991476\pi\) | |||||||
\(72\) | 290011. | − | 278354.i | 0.776992 | − | 0.745761i | ||||
\(73\) | 53852.9 | + | 117921.i | 0.138433 | + | 0.303126i | 0.966133 | − | 0.258045i | \(-0.0830782\pi\) |
−0.827700 | + | 0.561171i | \(0.810351\pi\) | |||||||
\(74\) | 48925.1 | − | 166624.i | 0.120736 | − | 0.411189i | ||||
\(75\) | −10605.3 | + | 89955.4i | −0.0251384 | + | 0.213228i | ||||
\(76\) | −77069.1 | + | 88942.5i | −0.175566 | + | 0.202614i | ||||
\(77\) | −14608.3 | − | 2100.36i | −0.0319984 | − | 0.00460067i | ||||
\(78\) | −287319. | − | 423011.i | −0.605453 | − | 0.891391i | ||||
\(79\) | −466337. | − | 538181.i | −0.945841 | − | 1.09156i | −0.995685 | − | 0.0928022i | \(-0.970418\pi\) |
0.0498431 | − | 0.998757i | \(-0.484128\pi\) | |||||||
\(80\) | 180367. | + | 280657.i | 0.352279 | + | 0.548157i | ||||
\(81\) | −128691. | − | 515624.i | −0.242155 | − | 0.970238i | ||||
\(82\) | −187661. | − | 216572.i | −0.340355 | − | 0.392791i | ||||
\(83\) | 310247. | + | 1.05661e6i | 0.542593 | + | 1.84790i | 0.530029 | + | 0.847980i | \(0.322181\pi\) |
0.0125641 | + | 0.999921i | \(0.496001\pi\) | |||||||
\(84\) | 2246.81 | + | 13228.0i | 0.00379078 | + | 0.0223181i | ||||
\(85\) | 328984. | − | 379668.i | 0.535695 | − | 0.618225i | ||||
\(86\) | −23461.3 | − | 10714.4i | −0.0368857 | − | 0.0168451i | ||||
\(87\) | −6877.01 | − | 270194.i | −0.0104434 | − | 0.410316i | ||||
\(88\) | 94665.4 | + | 207288.i | 0.138913 | + | 0.304177i | ||||
\(89\) | −154604. | + | 22228.8i | −0.219307 | + | 0.0315315i | −0.251092 | − | 0.967963i | \(-0.580790\pi\) |
0.0317856 | + | 0.999495i | \(0.489881\pi\) | |||||||
\(90\) | 570746. | − | 29072.2i | 0.782917 | − | 0.0398796i | ||||
\(91\) | 95570.1 | 0.126823 | ||||||||
\(92\) | 164914. | + | 38327.6i | 0.211785 | + | 0.0492208i | ||||
\(93\) | 1.41020e6 | − | 453351.i | 1.75320 | − | 0.563619i | ||||
\(94\) | −17937.6 | − | 11527.8i | −0.0215964 | − | 0.0138791i | ||||
\(95\) | −927292. | + | 133325.i | −1.08155 | + | 0.155503i | ||||
\(96\) | 278802. | − | 254287.i | 0.315124 | − | 0.287416i | ||||
\(97\) | −137859. | − | 40479.1i | −0.151050 | − | 0.0443523i | 0.205333 | − | 0.978692i | \(-0.434172\pi\) |
−0.356383 | + | 0.934340i | \(0.615990\pi\) | |||||||
\(98\) | −749156. | − | 342128.i | −0.795965 | − | 0.363505i | ||||
\(99\) | 300002. | + | 27650.0i | 0.309185 | + | 0.0284964i | ||||
\(100\) | −6643.69 | + | 46207.9i | −0.00664369 | + | 0.0462079i | ||||
\(101\) | −271591. | − | 924954.i | −0.263604 | − | 0.897752i | −0.979821 | − | 0.199875i | \(-0.935946\pi\) |
0.716218 | − | 0.697877i | \(-0.245872\pi\) | |||||||
\(102\) | 740708. | + | 449814.i | 0.697986 | + | 0.423870i | ||||
\(103\) | −722919. | + | 464592.i | −0.661573 | + | 0.425167i | −0.827879 | − | 0.560907i | \(-0.810453\pi\) |
0.166306 | + | 0.986074i | \(0.446816\pi\) | |||||||
\(104\) | −797805. | − | 1.24141e6i | −0.709246 | − | 1.10361i | ||||
\(105\) | −55439.4 | + | 91292.0i | −0.0478906 | + | 0.0788614i | ||||
\(106\) | −1.24470e6 | + | 365477.i | −1.04508 | + | 0.306862i | ||||
\(107\) | 13078.2 | + | 1880.36i | 0.0106757 | + | 0.00153494i | 0.147651 | − | 0.989040i | \(-0.452829\pi\) |
−0.136975 | + | 0.990575i | \(0.543738\pi\) | |||||||
\(108\) | −59542.7 | − | 267348.i | −0.0472669 | − | 0.212229i | ||||
\(109\) | −502347. | + | 1.09999e6i | −0.387904 | + | 0.849391i | 0.610451 | + | 0.792054i | \(0.290988\pi\) |
−0.998355 | + | 0.0573370i | \(0.981739\pi\) | |||||||
\(110\) | −91274.4 | + | 310852.i | −0.0685758 | + | 0.233548i | ||||
\(111\) | −446466. | − | 489507.i | −0.326452 | − | 0.357923i | ||||
\(112\) | −15306.7 | − | 106460.i | −0.0108950 | − | 0.0757764i | ||||
\(113\) | −738937. | + | 1.14981e6i | −0.512120 | + | 0.796875i | −0.996975 | − | 0.0777197i | \(-0.975236\pi\) |
0.484855 | + | 0.874595i | \(0.338872\pi\) | |||||||
\(114\) | −494593. | − | 1.53848e6i | −0.333836 | − | 1.03843i | ||||
\(115\) | 792324. | + | 1.09026e6i | 0.520966 | + | 0.716861i | ||||
\(116\) | − | 139300.i | − | 0.0892436i | ||||||
\(117\) | −1.94840e6 | + | 99245.8i | −1.21652 | + | 0.0619662i | ||||
\(118\) | −28210.6 | − | 196209.i | −0.0171698 | − | 0.119419i | ||||
\(119\) | −147324. | + | 67280.8i | −0.0874246 | + | 0.0399255i | ||||
\(120\) | 1.64864e6 | − | 41961.3i | 0.954073 | − | 0.0242831i | ||||
\(121\) | 664983. | − | 1.45611e6i | 0.375366 | − | 0.821937i | ||||
\(122\) | −1.06880e6 | − | 926122.i | −0.588596 | − | 0.510022i | ||||
\(123\) | −1.07786e6 | + | 183076.i | −0.579222 | + | 0.0983821i | ||||
\(124\) | 732508. | − | 215084.i | 0.384191 | − | 0.112809i | ||||
\(125\) | −1.58889e6 | + | 1.37679e6i | −0.813514 | + | 0.704914i | ||||
\(126\) | −171269. | − | 67912.2i | −0.0856184 | − | 0.0339497i | ||||
\(127\) | 742365. | − | 477089.i | 0.362415 | − | 0.232910i | −0.346742 | − | 0.937961i | \(-0.612712\pi\) |
0.709157 | + | 0.705050i | \(0.249076\pi\) | |||||||
\(128\) | −883956. | + | 765952.i | −0.421503 | + | 0.365234i | ||||
\(129\) | −81399.7 | + | 55288.6i | −0.0379187 | + | 0.0257553i | ||||
\(130\) | 298567. | − | 2.07658e6i | 0.135897 | − | 0.945187i | ||||
\(131\) | 3.25428e6 | + | 2.81985e6i | 1.44758 | + | 1.25433i | 0.912217 | + | 0.409707i | \(0.134369\pi\) |
0.535358 | + | 0.844625i | \(0.320177\pi\) | |||||||
\(132\) | 154205. | + | 18180.0i | 0.0670465 | + | 0.00790444i | ||||
\(133\) | 289791. | + | 85090.3i | 0.123177 | + | 0.0361680i | ||||
\(134\) | 2.40196e6 | − | 1.09694e6i | 0.998278 | − | 0.455898i | ||||
\(135\) | 1.03544e6 | − | 1.91875e6i | 0.420848 | − | 0.779860i | ||||
\(136\) | 2.10379e6 | + | 1.35202e6i | 0.836344 | + | 0.537485i | ||||
\(137\) | − | 1.63093e6i | − | 0.634270i | −0.948380 | − | 0.317135i | \(-0.897279\pi\) | ||
0.948380 | − | 0.317135i | \(-0.102721\pi\) | |||||||
\(138\) | −1.62527e6 | + | 1.66239e6i | −0.618426 | + | 0.632551i | ||||
\(139\) | −1.52727e6 | −0.568685 | −0.284342 | − | 0.958723i | \(-0.591775\pi\) | ||||
−0.284342 | + | 0.958723i | \(0.591775\pi\) | |||||||
\(140\) | −29760.7 | + | 46308.6i | −0.0108457 | + | 0.0168763i | ||||
\(141\) | −73113.4 | + | 35665.2i | −0.0260819 | + | 0.0127229i | ||||
\(142\) | −1.18475e6 | − | 2.59423e6i | −0.413772 | − | 0.906033i | ||||
\(143\) | 311590. | − | 1.06118e6i | 0.106555 | − | 0.362894i | ||||
\(144\) | 422614. | + | 2.15452e6i | 0.141533 | + | 0.721545i | ||||
\(145\) | 726153. | − | 838026.i | 0.238190 | − | 0.274886i | ||||
\(146\) | −908103. | − | 130566.i | −0.291794 | − | 0.0419537i | ||||
\(147\) | −2.59922e6 | + | 1.76545e6i | −0.818258 | + | 0.555780i | ||||
\(148\) | −223609. | − | 258059.i | −0.0689771 | − | 0.0796038i | ||||
\(149\) | 1.04484e6 | + | 1.62580e6i | 0.315856 | + | 0.491482i | 0.962489 | − | 0.271319i | \(-0.0874598\pi\) |
−0.646633 | + | 0.762801i | \(0.723823\pi\) | |||||||
\(150\) | −494980. | − | 407321.i | −0.146661 | − | 0.120688i | ||||
\(151\) | 437826. | + | 505278.i | 0.127166 | + | 0.146757i | 0.815762 | − | 0.578388i | \(-0.196318\pi\) |
−0.688596 | + | 0.725145i | \(0.741773\pi\) | |||||||
\(152\) | −1.31385e6 | − | 4.47456e6i | −0.374124 | − | 1.27415i | ||||
\(153\) | 2.93365e6 | − | 1.52465e6i | 0.819093 | − | 0.425692i | ||||
\(154\) | 68398.1 | − | 78935.6i | 0.0187276 | − | 0.0216128i | ||||
\(155\) | 5.52796e6 | + | 2.52453e6i | 1.48446 | + | 0.677932i | ||||
\(156\) | −1.00516e6 | + | 25583.3i | −0.264765 | + | 0.00673881i | ||||
\(157\) | 2.83881e6 | + | 6.21612e6i | 0.733562 | + | 1.60628i | 0.793863 | + | 0.608096i | \(0.208066\pi\) |
−0.0603016 | + | 0.998180i | \(0.519206\pi\) | |||||||
\(158\) | 4.98838e6 | − | 717220.i | 1.26470 | − | 0.181837i | ||||
\(159\) | −1.27307e6 | + | 4.78267e6i | −0.316711 | + | 1.18981i | ||||
\(160\) | 1.54813e6 | 0.377960 | ||||||||
\(161\) | −86341.1 | − | 425838.i | −0.0206890 | − | 0.102039i | ||||
\(162\) | 3.56220e6 | + | 1.20668e6i | 0.837864 | + | 0.283822i | ||||
\(163\) | 3.43824e6 | + | 2.20962e6i | 0.793914 | + | 0.510218i | 0.873625 | − | 0.486600i | \(-0.161763\pi\) |
−0.0797104 | + | 0.996818i | \(0.525400\pi\) | |||||||
\(164\) | −557735. | + | 80190.2i | −0.126443 | + | 0.0181798i | ||||
\(165\) | 832924. | + | 913221.i | 0.185419 | + | 0.203294i | ||||
\(166\) | −7.47764e6 | − | 2.19563e6i | −1.63471 | − | 0.479994i | ||||
\(167\) | 2.03525e6 | + | 929466.i | 0.436986 | + | 0.199565i | 0.621746 | − | 0.783219i | \(-0.286424\pi\) |
−0.184760 | + | 0.982784i | \(0.559151\pi\) | |||||||
\(168\) | −489095. | − | 208490.i | −0.103149 | − | 0.0439701i | ||||
\(169\) | −332311. | + | 2.31127e6i | −0.0688469 | + | 0.478841i | ||||
\(170\) | 1.00165e6 | + | 3.41129e6i | 0.203877 | + | 0.694340i | ||||
\(171\) | −5.99635e6 | − | 1.43381e6i | −1.19922 | − | 0.286749i | ||||
\(172\) | −42663.9 | + | 27418.4i | −0.00838446 | + | 0.00538837i | ||||
\(173\) | −783994. | − | 1.21992e6i | −0.151417 | − | 0.235609i | 0.757256 | − | 0.653118i | \(-0.226540\pi\) |
−0.908673 | + | 0.417509i | \(0.862903\pi\) | |||||||
\(174\) | 1.63494e6 | + | 992857.i | 0.310351 | + | 0.188469i | ||||
\(175\) | 114951. | − | 33752.6i | 0.0214486 | − | 0.00629787i | ||||
\(176\) | −1.23200e6 | − | 177135.i | −0.225982 | − | 0.0324913i | ||||
\(177\) | −695694. | − | 296559.i | −0.125458 | − | 0.0534799i | ||||
\(178\) | 459197. | − | 1.00550e6i | 0.0814215 | − | 0.178288i | ||||
\(179\) | −546854. | + | 1.86241e6i | −0.0953481 | + | 0.324726i | −0.993330 | − | 0.115307i | \(-0.963215\pi\) |
0.897982 | + | 0.440033i | \(0.145033\pi\) | |||||||
\(180\) | 558644. | − | 975002.i | 0.0957895 | − | 0.167181i | ||||
\(181\) | −721166. | − | 5.01582e6i | −0.121618 | − | 0.845875i | −0.955723 | − | 0.294268i | \(-0.904924\pi\) |
0.834105 | − | 0.551606i | \(-0.185985\pi\) | |||||||
\(182\) | −365664. | + | 568985.i | −0.0606553 | + | 0.0943815i | ||||
\(183\) | −5.13658e6 | + | 1.65131e6i | −0.838149 | + | 0.269449i | ||||
\(184\) | −4.81067e6 | + | 4.67636e6i | −0.772240 | + | 0.750680i | ||||
\(185\) | − | 2.71813e6i | − | 0.429294i | ||||||
\(186\) | −2.69654e6 | + | 1.01303e7i | −0.419052 | + | 1.57429i | ||||
\(187\) | 266737. | + | 1.85520e6i | 0.0407904 | + | 0.283704i | ||||
\(188\) | −38137.2 | + | 17416.7i | −0.00573952 | + | 0.00262115i | ||||
\(189\) | −560622. | + | 424014.i | −0.0830395 | + | 0.0628051i | ||||
\(190\) | 2.75419e6 | − | 6.03083e6i | 0.401544 | − | 0.879258i | ||||
\(191\) | −7.70184e6 | − | 6.67368e6i | −1.10534 | − | 0.957779i | −0.106006 | − | 0.994366i | \(-0.533806\pi\) |
−0.999330 | + | 0.0365864i | \(0.988352\pi\) | |||||||
\(192\) | 1.31867e6 | + | 7.76366e6i | 0.186309 | + | 1.09689i | ||||
\(193\) | 1.58295e6 | − | 464796.i | 0.220189 | − | 0.0646533i | −0.169777 | − | 0.985482i | \(-0.554305\pi\) |
0.389966 | + | 0.920829i | \(0.372487\pi\) | |||||||
\(194\) | 768464. | − | 665878.i | 0.105249 | − | 0.0911989i | ||||
\(195\) | −6.18037e6 | − | 5.08585e6i | −0.833509 | − | 0.685898i | ||||
\(196\) | −1.36232e6 | + | 875511.i | −0.180930 | + | 0.116277i | ||||
\(197\) | 6.91099e6 | − | 5.98840e6i | 0.903944 | − | 0.783272i | −0.0728748 | − | 0.997341i | \(-0.523217\pi\) |
0.976818 | + | 0.214069i | \(0.0686719\pi\) | |||||||
\(198\) | −1.31247e6 | + | 1.68030e6i | −0.169080 | + | 0.216466i | ||||
\(199\) | −1.10770e6 | + | 7.70423e6i | −0.140560 | + | 0.977619i | 0.790424 | + | 0.612560i | \(0.209860\pi\) |
−0.930984 | + | 0.365059i | \(0.881049\pi\) | |||||||
\(200\) | −1.39802e6 | − | 1.21139e6i | −0.174753 | − | 0.151424i | ||||
\(201\) | 1.17953e6 | − | 1.00049e7i | 0.145252 | − | 1.23204i | ||||
\(202\) | 6.54594e6 | + | 1.92206e6i | 0.794178 | + | 0.233192i | ||||
\(203\) | −325183. | + | 148506.i | −0.0388723 | + | 0.0177524i | ||||
\(204\) | 1.53147e6 | − | 747061.i | 0.180392 | − | 0.0879966i | ||||
\(205\) | −3.77334e6 | − | 2.42498e6i | −0.437991 | − | 0.281480i | ||||
\(206\) | − | 6.08155e6i | − | 0.695685i | ||||||
\(207\) | 2.20246e6 | + | 8.59194e6i | 0.248312 | + | 0.968680i | ||||
\(208\) | 8.05998e6 | 0.895662 | ||||||||
\(209\) | 1.88963e6 | − | 2.94031e6i | 0.206984 | − | 0.322073i | ||||
\(210\) | −331396. | − | 679359.i | −0.0357840 | − | 0.0733570i | ||||
\(211\) | −2.19965e6 | − | 4.81657e6i | −0.234157 | − | 0.512732i | 0.755680 | − | 0.654941i | \(-0.227307\pi\) |
−0.989837 | + | 0.142209i | \(0.954579\pi\) | |||||||
\(212\) | −718632. | + | 2.44744e6i | −0.0754222 | + | 0.256864i | ||||
\(213\) | −1.08058e7 | − | 1.27395e6i | −1.11820 | − | 0.131830i | ||||
\(214\) | −61234.0 | + | 70667.8i | −0.00624814 | + | 0.00721074i | ||||
\(215\) | −399594. | − | 57452.9i | −0.0402072 | − | 0.00578092i | ||||
\(216\) | 1.01877e7 | + | 3.74260e6i | 1.01092 | + | 0.371375i | ||||
\(217\) | −1.28301e6 | − | 1.48068e6i | −0.125560 | − | 0.144904i | ||||
\(218\) | −4.62681e6 | − | 7.19946e6i | −0.446594 | − | 0.694913i | ||||
\(219\) | −2.22408e6 | + | 2.70272e6i | −0.211748 | + | 0.257318i | ||||
\(220\) | 417165. | + | 481434.i | 0.0391777 | + | 0.0452135i | ||||
\(221\) | −3.41939e6 | − | 1.16454e7i | −0.316790 | − | 1.07889i | ||||
\(222\) | 4.62256e6 | − | 785151.i | 0.422497 | − | 0.0717619i | ||||
\(223\) | 1.11890e7 | − | 1.29128e7i | 1.00897 | − | 1.16441i | 0.0226208 | − | 0.999744i | \(-0.492799\pi\) |
0.986349 | − | 0.164669i | \(-0.0526556\pi\) | |||||||
\(224\) | −453999. | − | 207334.i | −0.0403934 | − | 0.0184471i | ||||
\(225\) | −2.30846e6 | + | 807490.i | −0.202663 | + | 0.0708907i | ||||
\(226\) | −4.01821e6 | − | 8.79865e6i | −0.348103 | − | 0.762238i | ||||
\(227\) | 1.62238e7 | − | 2.33264e6i | 1.38700 | − | 0.199420i | 0.591955 | − | 0.805971i | \(-0.298356\pi\) |
0.795045 | + | 0.606551i | \(0.207447\pi\) | |||||||
\(228\) | −3.07065e6 | − | 817360.i | −0.259075 | − | 0.0689619i | ||||
\(229\) | −9.90563e6 | −0.824851 | −0.412426 | − | 0.910991i | \(-0.635318\pi\) | ||||
−0.412426 | + | 0.910991i | \(0.635318\pi\) | |||||||
\(230\) | −9.52248e6 | + | 545700.i | −0.782648 | + | 0.0448509i | ||||
\(231\) | −121957. | − | 379359.i | −0.00989396 | − | 0.0307762i | ||||
\(232\) | 4.64360e6 | + | 2.98426e6i | 0.371870 | + | 0.238986i | ||||
\(233\) | 5.01336e6 | − | 720813.i | 0.396334 | − | 0.0569842i | 0.0587335 | − | 0.998274i | \(-0.481294\pi\) |
0.337601 | + | 0.941289i | \(0.390385\pi\) | |||||||
\(234\) | 6.86397e6 | − | 1.19797e7i | 0.535707 | − | 0.934970i | ||||
\(235\) | −320224. | − | 94026.2i | −0.0246746 | − | 0.00724512i | ||||
\(236\) | −354547. | − | 161916.i | −0.0269736 | − | 0.0123184i | ||||
\(237\) | 7.53965e6 | − | 1.76872e7i | 0.566378 | − | 1.32866i | ||||
\(238\) | 163121. | − | 1.13453e6i | 0.0120998 | − | 0.0841563i | ||||
\(239\) | −6.58634e6 | − | 2.24310e7i | −0.482448 | − | 1.64307i | −0.736916 | − | 0.675985i | \(-0.763719\pi\) |
0.254468 | − | 0.967081i | \(-0.418100\pi\) | |||||||
\(240\) | −4.67553e6 | + | 7.69918e6i | −0.338218 | + | 0.556943i | ||||
\(241\) | −3.06643e6 | + | 1.97067e6i | −0.219069 | + | 0.140787i | −0.645573 | − | 0.763698i | \(-0.723381\pi\) |
0.426504 | + | 0.904486i | \(0.359745\pi\) | |||||||
\(242\) | 6.12476e6 | + | 9.53032e6i | 0.432159 | + | 0.672452i | ||||
\(243\) | 1.09891e7 | − | 9.22660e6i | 0.765852 | − | 0.643017i | ||||
\(244\) | −2.66813e6 | + | 783434.i | −0.183670 | + | 0.0539303i | ||||
\(245\) | −1.27596e7 | − | 1.83456e6i | −0.867641 | − | 0.124748i | ||||
\(246\) | 3.03407e6 | − | 7.11758e6i | 0.203807 | − | 0.478109i | ||||
\(247\) | −9.40217e6 | + | 2.05879e7i | −0.623932 | + | 1.36622i | ||||
\(248\) | −8.52285e6 | + | 2.90262e7i | −0.558766 | + | 1.90298i | ||||
\(249\) | −2.19678e7 | + | 2.00362e7i | −1.42295 | + | 1.29783i | ||||
\(250\) | −2.11748e6 | − | 1.47274e7i | −0.135519 | − | 0.942553i | ||||
\(251\) | −9.98909e6 | + | 1.55433e7i | −0.631691 | + | 0.982930i | 0.366921 | + | 0.930252i | \(0.380412\pi\) |
−0.998612 | + | 0.0526781i | \(0.983224\pi\) | |||||||
\(252\) | −294405. | + | 211109.i | −0.0183968 | + | 0.0131919i | ||||
\(253\) | −5.00986e6 | − | 429671.i | −0.309360 | − | 0.0265323i | ||||
\(254\) | 6.24515e6i | 0.381102i | ||||||||
\(255\) | 1.31076e7 | + | 3.48906e6i | 0.790503 | + | 0.210420i | ||||
\(256\) | 1.47847e6 | + | 1.02830e7i | 0.0881236 | + | 0.612913i | ||||
\(257\) | 4.89518e6 | − | 2.23555e6i | 0.288383 | − | 0.131700i | −0.265971 | − | 0.963981i | \(-0.585693\pi\) |
0.554354 | + | 0.832281i | \(0.312965\pi\) | |||||||
\(258\) | −17718.8 | − | 696162.i | −0.00103175 | − | 0.0405370i | ||||
\(259\) | −364028. | + | 797110.i | −0.0209525 | + | 0.0458795i | ||||
\(260\) | −3.11756e6 | − | 2.70138e6i | −0.177376 | − | 0.153697i | ||||
\(261\) | 6.47532e6 | − | 3.36530e6i | 0.364200 | − | 0.189279i | ||||
\(262\) | −2.92396e7 | + | 8.58551e6i | −1.62580 | + | 0.477378i | ||||
\(263\) | 2.02314e7 | − | 1.75306e7i | 1.11214 | − | 0.963671i | 0.112585 | − | 0.993642i | \(-0.464087\pi\) |
0.999551 | + | 0.0299708i | \(0.00954144\pi\) | |||||||
\(264\) | −3.90961e6 | + | 4.75099e6i | −0.212482 | + | 0.258210i | ||||
\(265\) | −1.70815e7 | + | 1.09776e7i | −0.917883 | + | 0.589888i | ||||
\(266\) | −1.61537e6 | + | 1.39973e6i | −0.0858277 | + | 0.0743701i | ||||
\(267\) | −2.36954e6 | − | 3.48861e6i | −0.124489 | − | 0.183282i | ||||
\(268\) | 738918. | − | 5.13929e6i | 0.0383877 | − | 0.266992i | ||||
\(269\) | 2.32883e7 | + | 2.01794e7i | 1.19641 | + | 1.03670i | 0.998403 | + | 0.0564957i | \(0.0179927\pi\) |
0.198008 | + | 0.980200i | \(0.436553\pi\) | |||||||
\(270\) | 7.46169e6 | + | 1.35060e7i | 0.379093 | + | 0.686176i | ||||
\(271\) | 4.89434e6 | + | 1.43711e6i | 0.245915 | + | 0.0722073i | 0.402367 | − | 0.915478i | \(-0.368187\pi\) |
−0.156452 | + | 0.987686i | \(0.550006\pi\) | |||||||
\(272\) | −1.24247e7 | + | 5.67418e6i | −0.617419 | + | 0.281966i | ||||
\(273\) | 1.13131e6 | + | 2.31917e6i | 0.0556024 | + | 0.113984i | ||||
\(274\) | 9.70989e6 | + | 6.24017e6i | 0.472022 | + | 0.303350i | ||||
\(275\) | − | 1.38642e6i | − | 0.0666648i | ||||||
\(276\) | 1.02208e6 | + | 4.45563e6i | 0.0486138 | + | 0.211925i | ||||
\(277\) | 1.74868e7 | 0.822755 | 0.411378 | − | 0.911465i | \(-0.365048\pi\) | ||||
0.411378 | + | 0.911465i | \(0.365048\pi\) | |||||||
\(278\) | 5.84355e6 | − | 9.09273e6i | 0.271983 | − | 0.423214i | ||||
\(279\) | 2.76945e7 | + | 2.88543e7i | 1.27521 | + | 1.32861i | ||||
\(280\) | −906137. | − | 1.98416e6i | −0.0412781 | − | 0.0903865i | ||||
\(281\) | −7.59880e6 | + | 2.58791e7i | −0.342473 | + | 1.16635i | 0.590689 | + | 0.806899i | \(0.298856\pi\) |
−0.933162 | + | 0.359456i | \(0.882962\pi\) | |||||||
\(282\) | 67405.9 | − | 571747.i | 0.00300574 | − | 0.0254951i | ||||
\(283\) | 1.78631e7 | − | 2.06151e7i | 0.788129 | − | 0.909550i | −0.209539 | − | 0.977800i | \(-0.567196\pi\) |
0.997668 | + | 0.0682506i | \(0.0217418\pi\) | |||||||
\(284\) | −5.55069e6 | − | 798068.i | −0.242321 | − | 0.0348405i | ||||
\(285\) | −1.42122e7 | − | 2.09241e7i | −0.613939 | − | 0.903884i | ||||
\(286\) | 5.12563e6 | + | 5.91529e6i | 0.219103 | + | 0.252859i | ||||
\(287\) | 781792. | + | 1.21649e6i | 0.0330709 | + | 0.0514593i | ||||
\(288\) | 9.47103e6 | + | 3.75549e6i | 0.396479 | + | 0.157213i | ||||
\(289\) | −2.33738e6 | − | 2.69748e6i | −0.0968359 | − | 0.111755i | ||||
\(290\) | 2.21090e6 | + | 7.52962e6i | 0.0906513 | + | 0.308730i | ||||
\(291\) | −649609. | − | 3.82456e6i | −0.0263617 | − | 0.155204i | ||||
\(292\) | −1.18134e6 | + | 1.36334e6i | −0.0474488 | + | 0.0547588i | ||||
\(293\) | 1.95759e7 | + | 8.94001e6i | 0.778249 | + | 0.355414i | 0.764611 | − | 0.644493i | \(-0.222931\pi\) |
0.0136385 | + | 0.999907i | \(0.495659\pi\) | |||||||
\(294\) | −565787. | − | 2.22295e7i | −0.0222644 | − | 0.874758i | ||||
\(295\) | −1.28890e6 | − | 2.82230e6i | −0.0502057 | − | 0.109935i | ||||
\(296\) | 1.33929e7 | − | 1.92561e6i | 0.516417 | − | 0.0742495i | ||||
\(297\) | 2.88029e6 | + | 7.60738e6i | 0.109943 | + | 0.290379i | ||||
\(298\) | −1.36770e7 | −0.516824 | ||||||||
\(299\) | 3.25075e7 | − | 1.86290e6i | 1.21610 | − | 0.0696907i | ||||
\(300\) | −1.19996e6 | + | 385764.i | −0.0444429 | + | 0.0142876i | ||||
\(301\) | 109489. | + | 70364.6i | 0.00401488 | + | 0.00258021i | ||||
\(302\) | −4.68340e6 | + | 673371.i | −0.170036 | + | 0.0244475i | ||||
\(303\) | 1.92307e7 | − | 1.75398e7i | 0.691300 | − | 0.630515i | ||||
\(304\) | 2.44397e7 | + | 7.17616e6i | 0.869913 | + | 0.255430i | ||||
\(305\) | −2.01354e7 | − | 9.19552e6i | −0.709676 | − | 0.324098i | ||||
\(306\) | −2.14740e6 | + | 2.32992e7i | −0.0749460 | + | 0.813162i | ||||
\(307\) | −867536. | + | 6.03385e6i | −0.0299828 | + | 0.208535i | −0.999306 | − | 0.0372555i | \(-0.988138\pi\) |
0.969323 | + | 0.245791i | \(0.0790476\pi\) | |||||||
\(308\) | −57860.0 | − | 197053.i | −0.00198028 | − | 0.00674421i | ||||
\(309\) | −1.98317e7 | − | 1.20433e7i | −0.672177 | − | 0.408197i | ||||
\(310\) | −3.61807e7 | + | 2.32520e7i | −1.21449 | + | 0.780503i | ||||
\(311\) | 3.00328e7 | + | 4.67319e7i | 0.998422 | + | 1.55358i | 0.822179 | + | 0.569228i | \(0.192758\pi\) |
0.176243 | + | 0.984347i | \(0.443606\pi\) | |||||||
\(312\) | 2.06809e7 | − | 3.40553e7i | 0.680936 | − | 1.12130i | ||||
\(313\) | 3.28303e7 | − | 9.63985e6i | 1.07064 | − | 0.314367i | 0.301510 | − | 0.953463i | \(-0.402509\pi\) |
0.769127 | + | 0.639096i | \(0.220691\pi\) | |||||||
\(314\) | −4.78699e7 | − | 6.88265e6i | −1.54623 | − | 0.222314i | ||||
\(315\) | −2.87162e6 | − | 264666.i | −0.0918746 | − | 0.00846772i | ||||
\(316\) | 4.11653e6 | − | 9.01394e6i | 0.130458 | − | 0.285663i | ||||
\(317\) | −7.48627e6 | + | 2.54959e7i | −0.235011 | + | 0.800373i | 0.754548 | + | 0.656245i | \(0.227856\pi\) |
−0.989559 | + | 0.144129i | \(0.953962\pi\) | |||||||
\(318\) | −2.36031e7 | − | 2.58785e7i | −0.733985 | − | 0.804744i | ||||
\(319\) | 588758. | + | 4.09490e6i | 0.0181370 | + | 0.126145i | ||||
\(320\) | −1.74668e7 | + | 2.71789e7i | −0.533045 | + | 0.829435i | ||||
\(321\) | 109183. | + | 339624.i | 0.00330095 | + | 0.0102679i | ||||
\(322\) | 2.86562e6 | + | 1.11528e6i | 0.0858323 | + | 0.0334053i | ||||
\(323\) | − | 3.83559e7i | − | 1.13822i | ||||||
\(324\) | 5.78283e6 | − | 4.60963e6i | 0.170022 | − | 0.135529i | ||||
\(325\) | 1.27768e6 | + | 8.88649e6i | 0.0372198 | + | 0.258869i | ||||
\(326\) | −2.63104e7 | + | 1.20155e7i | −0.759406 | + | 0.346809i | ||||
\(327\) | −3.26396e7 | + | 830745.i | −0.933472 | + | 0.0237588i | ||||
\(328\) | 9.27536e6 | − | 2.03102e7i | 0.262851 | − | 0.575563i | ||||
\(329\) | 81315.4 | + | 70460.2i | 0.00228342 | + | 0.00197859i | ||||
\(330\) | −8.62382e6 | + | 1.46477e6i | −0.239971 | + | 0.0407595i | ||||
\(331\) | 4.75130e7 | − | 1.39511e7i | 1.31017 | − | 0.384702i | 0.449236 | − | 0.893413i | \(-0.351696\pi\) |
0.860937 | + | 0.508711i | \(0.169878\pi\) | |||||||
\(332\) | −1.15810e7 | + | 1.00350e7i | −0.316470 | + | 0.274223i | ||||
\(333\) | 6.59370e6 | − | 1.66288e7i | 0.178565 | − | 0.450327i | ||||
\(334\) | −1.33208e7 | + | 8.56075e6i | −0.357512 | + | 0.229759i | ||||
\(335\) | 3.12358e7 | − | 2.70660e7i | 0.830842 | − | 0.719928i | ||||
\(336\) | 2.40225e6 | − | 1.63167e6i | 0.0633288 | − | 0.0430144i | ||||
\(337\) | 7.89220e6 | − | 5.48914e7i | 0.206209 | − | 1.43422i | −0.579172 | − | 0.815205i | \(-0.696624\pi\) |
0.785382 | − | 0.619012i | \(-0.212467\pi\) | |||||||
\(338\) | −1.24889e7 | − | 1.08217e7i | −0.323425 | − | 0.280250i | ||||
\(339\) | −3.66492e7 | − | 4.32075e6i | −0.940732 | − | 0.110907i | ||||
\(340\) | 6.70758e6 | + | 1.96952e6i | 0.170659 | + | 0.0501100i | ||||
\(341\) | −2.06239e7 | + | 9.41864e6i | −0.520126 | + | 0.237534i | ||||
\(342\) | 3.14792e7 | − | 3.02139e7i | 0.786946 | − | 0.755315i | ||||
\(343\) | 7.03063e6 | + | 4.51831e6i | 0.174226 | + | 0.111968i | ||||
\(344\) | − | 2.00961e6i | − | 0.0493669i | ||||||
\(345\) | −1.70778e7 | + | 3.21330e7i | −0.415887 | + | 0.782517i | ||||
\(346\) | 1.02626e7 | 0.247758 | ||||||||
\(347\) | −1.60399e7 | + | 2.49586e7i | −0.383896 | + | 0.597354i | −0.978396 | − | 0.206742i | \(-0.933714\pi\) |
0.594499 | + | 0.804096i | \(0.297350\pi\) | |||||||
\(348\) | 3.38035e6 | − | 1.64896e6i | 0.0802093 | − | 0.0391266i | ||||
\(349\) | 1.19846e7 | + | 2.62425e7i | 0.281933 | + | 0.617347i | 0.996625 | − | 0.0820926i | \(-0.0261603\pi\) |
−0.714692 | + | 0.699439i | \(0.753433\pi\) | |||||||
\(350\) | −238869. | + | 813512.i | −0.00557128 | + | 0.0189740i | ||||
\(351\) | −2.54725e7 | − | 4.61064e7i | −0.589047 | − | 1.06620i | ||||
\(352\) | −3.78235e6 | + | 4.36507e6i | −0.0867230 | + | 0.100084i | ||||
\(353\) | −6.34620e7 | − | 9.12446e6i | −1.44275 | − | 0.207435i | −0.623924 | − | 0.781485i | \(-0.714463\pi\) |
−0.818821 | + | 0.574049i | \(0.805372\pi\) | |||||||
\(354\) | 4.42741e6 | − | 3.00720e6i | 0.0998021 | − | 0.0677879i | ||||
\(355\) | −2.92326e7 | − | 3.37362e7i | −0.653405 | − | 0.754069i | ||||
\(356\) | −1.17509e6 | − | 1.82848e6i | −0.0260448 | − | 0.0405266i | ||||
\(357\) | −3.37663e6 | − | 2.77864e6i | −0.0742128 | − | 0.0610701i | ||||
\(358\) | −8.99570e6 | − | 1.03816e7i | −0.196059 | − | 0.226264i | ||||
\(359\) | −1.18946e6 | − | 4.05094e6i | −0.0257080 | − | 0.0875534i | 0.945640 | − | 0.325216i | \(-0.105437\pi\) |
−0.971348 | + | 0.237662i | \(0.923619\pi\) | |||||||
\(360\) | 2.05340e7 | + | 3.95103e7i | 0.440114 | + | 0.846844i | ||||
\(361\) | −1.60313e7 | + | 1.85011e7i | −0.340760 | + | 0.393258i | ||||
\(362\) | 3.26214e7 | + | 1.48977e7i | 0.687665 | + | 0.314046i | ||||
\(363\) | 4.32068e7 | − | 1.09970e6i | 0.903300 | − | 0.0229909i | ||||
\(364\) | 552462. | + | 1.20972e6i | 0.0114551 | + | 0.0250831i | ||||
\(365\) | −1.42138e7 | + | 2.04364e6i | −0.292302 | + | 0.0420267i | ||||
\(366\) | 9.82203e6 | − | 3.68993e7i | 0.200336 | − | 0.752618i | ||||
\(367\) | 6.08576e6 | 0.123117 | 0.0615583 | − | 0.998103i | \(-0.480393\pi\) | ||||
0.0615583 | + | 0.998103i | \(0.480393\pi\) | |||||||
\(368\) | −7.28164e6 | − | 3.59134e7i | −0.146112 | − | 0.720632i | ||||
\(369\) | −1.72017e7 | − | 2.39889e7i | −0.342368 | − | 0.477453i | ||||
\(370\) | 1.61826e7 | + | 1.03999e7i | 0.319480 | + | 0.205317i | ||||
\(371\) | 6.47945e6 | − | 931604.i | 0.126887 | − | 0.0182436i | ||||
\(372\) | 1.38904e7 | + | 1.52295e7i | 0.269828 | + | 0.295840i | ||||
\(373\) | −1.63980e7 | − | 4.81488e6i | −0.315983 | − | 0.0927810i | 0.119895 | − | 0.992787i | \(-0.461744\pi\) |
−0.435878 | + | 0.900006i | \(0.643562\pi\) | |||||||
\(374\) | −1.20656e7 | − | 5.51019e6i | −0.230640 | − | 0.105330i | ||||
\(375\) | −5.22186e7 | − | 2.22596e7i | −0.990219 | − | 0.422108i | ||||
\(376\) | 236435. | − | 1.64444e6i | 0.00444782 | − | 0.0309353i | ||||
\(377\) | −7.54749e6 | − | 2.57044e7i | −0.140857 | − | 0.479715i | ||||
\(378\) | −379386. | − | 4.96005e6i | −0.00702435 | − | 0.0918355i | ||||
\(379\) | −2.02173e7 | + | 1.29928e7i | −0.371368 | + | 0.238664i | −0.712991 | − | 0.701173i | \(-0.752660\pi\) |
0.341623 | + | 0.939837i | \(0.389024\pi\) | |||||||
\(380\) | −7.04801e6 | − | 1.09669e7i | −0.128445 | − | 0.199864i | ||||
\(381\) | 2.03651e7 | + | 1.23672e7i | 0.368224 | + | 0.223614i | ||||
\(382\) | 6.92006e7 | − | 2.03191e7i | 1.24142 | − | 0.364515i | ||||
\(383\) | 2.36519e7 | + | 3.40063e6i | 0.420988 | + | 0.0605290i | 0.349554 | − | 0.936916i | \(-0.386333\pi\) |
0.0714345 | + | 0.997445i | \(0.477242\pi\) | |||||||
\(384\) | −2.90510e7 | − | 1.23838e7i | −0.513058 | − | 0.218705i | ||||
\(385\) | 679129. | − | 1.48708e6i | 0.0119006 | − | 0.0260587i | ||||
\(386\) | −3.28938e6 | + | 1.12026e7i | −0.0571943 | + | 0.194786i | ||||
\(387\) | −2.30524e6 | − | 1.32083e6i | −0.0397725 | − | 0.0227884i | ||||
\(388\) | −284539. | − | 1.97901e6i | −0.00487132 | − | 0.0338808i | ||||
\(389\) | −2.43886e7 | + | 3.79494e7i | −0.414322 | + | 0.644697i | −0.984206 | − | 0.177028i | \(-0.943352\pi\) |
0.569884 | + | 0.821725i | \(0.306988\pi\) | |||||||
\(390\) | 5.39260e7 | − | 1.73362e7i | 0.909084 | − | 0.292254i | ||||
\(391\) | −4.87999e7 | + | 2.57568e7i | −0.816373 | + | 0.430885i | ||||
\(392\) | − | 6.41697e7i | − | 1.06530i | ||||||
\(393\) | −2.99061e7 | + | 1.12351e8i | −0.492699 | + | 1.85096i | ||||
\(394\) | 9.21009e6 | + | 6.40576e7i | 0.150583 | + | 1.04733i | ||||
\(395\) | 7.17535e7 | − | 3.27687e7i | 1.16426 | − | 0.531702i | ||||
\(396\) | 1.38423e6 | + | 3.95725e6i | 0.0222906 | + | 0.0637248i | ||||
\(397\) | −4.90779e7 | + | 1.07466e8i | −0.784358 | + | 1.71750i | −0.0922214 | + | 0.995739i | \(0.529397\pi\) |
−0.692137 | + | 0.721766i | \(0.743331\pi\) | |||||||
\(398\) | −4.16296e7 | − | 3.60722e7i | −0.660317 | − | 0.572168i | ||||
\(399\) | 1.36553e6 | + | 8.03953e6i | 0.0214972 | + | 0.126565i | ||||
\(400\) | 9.69448e6 | − | 2.84655e6i | 0.151476 | − | 0.0444774i | ||||
\(401\) | −7.50292e7 | + | 6.50132e7i | −1.16358 | + | 1.00825i | −0.163819 | + | 0.986490i | \(0.552381\pi\) |
−0.999763 | + | 0.0217596i | \(0.993073\pi\) | |||||||
\(402\) | 5.50522e7 | + | 4.53027e7i | 0.847416 | + | 0.697342i | ||||
\(403\) | 1.23513e8 | − | 7.93768e7i | 1.88711 | − | 1.21277i | ||||
\(404\) | 1.01381e7 | − | 8.78467e6i | 0.153748 | − | 0.133224i | ||||
\(405\) | 5.88188e7 | + | 2.41371e6i | 0.885424 | + | 0.0363345i | ||||
\(406\) | 360051. | − | 2.50421e6i | 0.00538005 | − | 0.0374191i | ||||
\(407\) | 7.66398e6 | + | 6.64088e6i | 0.113677 | + | 0.0985014i | ||||
\(408\) | −7.90561e6 | + | 6.70565e7i | −0.116401 | + | 0.987326i | ||||
\(409\) | −1.13851e8 | − | 3.34296e7i | −1.66405 | − | 0.488608i | −0.691707 | − | 0.722178i | \(-0.743141\pi\) |
−0.972340 | + | 0.233570i | \(0.924959\pi\) | |||||||
\(410\) | 2.88747e7 | − | 1.31866e7i | 0.418953 | − | 0.191329i | ||||
\(411\) | 3.95774e7 | − | 1.93061e7i | 0.570061 | − | 0.278080i | ||||
\(412\) | −1.00598e7 | − | 6.46502e6i | −0.143845 | − | 0.0924438i | ||||
\(413\) | 1.00028e6i | 0.0141994i | ||||||||
\(414\) | −5.95798e7 | − | 1.97614e7i | −0.839649 | − | 0.278495i | ||||
\(415\) | −1.21983e8 | −1.70669 | ||||||||
\(416\) | 2.02209e7 | − | 3.14644e7i | 0.280880 | − | 0.437058i | ||||
\(417\) | −1.80790e7 | − | 3.70618e7i | −0.249326 | − | 0.511115i | ||||
\(418\) | 1.02755e7 | + | 2.25001e7i | 0.140693 | + | 0.308074i | ||||
\(419\) | −1.26524e7 | + | 4.30902e7i | −0.172001 | + | 0.585783i | 0.827696 | + | 0.561177i | \(0.189651\pi\) |
−0.999697 | + | 0.0246059i | \(0.992167\pi\) | |||||||
\(420\) | −1.47605e6 | − | 174018.i | −0.0199229 | − | 0.00234881i | ||||
\(421\) | 1.37166e7 | − | 1.58298e7i | 0.183823 | − | 0.212143i | −0.656357 | − | 0.754450i | \(-0.727904\pi\) |
0.840180 | + | 0.542307i | \(0.182449\pi\) | |||||||
\(422\) | 3.70920e7 | + | 5.33303e6i | 0.493564 | + | 0.0709638i | ||||
\(423\) | −1.73096e6 | − | 1.35204e6i | −0.0228699 | − | 0.0178635i | ||||
\(424\) | −6.61906e7 | − | 7.63880e7i | −0.868357 | − | 1.00214i | ||||
\(425\) | −8.22562e6 | − | 1.27993e7i | −0.107152 | − | 0.166732i | ||||
\(426\) | 4.89292e7 | − | 5.94591e7i | 0.632906 | − | 0.769112i | ||||
\(427\) | 4.67332e6 | + | 5.39330e6i | 0.0600264 | + | 0.0692741i | ||||
\(428\) | 51799.7 | + | 176413.i | 0.000660687 | + | 0.00225009i | ||||
\(429\) | 2.94397e7 | − | 5.00040e6i | 0.372874 | − | 0.0633334i | ||||
\(430\) | 1.87095e6 | − | 2.15919e6i | 0.0235319 | − | 0.0271573i | ||||
\(431\) | 9.62459e7 | + | 4.39540e7i | 1.20213 | + | 0.548993i | 0.912867 | − | 0.408258i | \(-0.133864\pi\) |
0.289260 | + | 0.957251i | \(0.406591\pi\) | |||||||
\(432\) | −4.72805e7 | + | 3.57596e7i | −0.586450 | + | 0.443548i | ||||
\(433\) | −4.54372e7 | − | 9.94936e7i | −0.559691 | − | 1.22555i | −0.952107 | − | 0.305764i | \(-0.901088\pi\) |
0.392417 | − | 0.919787i | \(-0.371639\pi\) | |||||||
\(434\) | 1.37243e7 | − | 1.97326e6i | 0.167889 | − | 0.0241387i | ||||
\(435\) | 2.89320e7 | + | 7.70126e6i | 0.351488 | + | 0.0935608i | ||||
\(436\) | −1.68275e7 | −0.203030 | ||||||||
\(437\) | 1.00229e8 | + | 2.32942e7i | 1.20102 | + | 0.279127i | ||||
\(438\) | −7.58125e6 | − | 2.35823e7i | −0.0902233 | − | 0.280649i | ||||
\(439\) | 3.45840e7 | + | 2.22258e7i | 0.408772 | + | 0.262702i | 0.728828 | − | 0.684697i | \(-0.240065\pi\) |
−0.320056 | + | 0.947399i | \(0.603702\pi\) | |||||||
\(440\) | −2.49858e7 | + | 3.59241e6i | −0.293315 | + | 0.0421724i | ||||
\(441\) | −7.36098e7 | − | 4.21760e7i | −0.858262 | − | 0.491756i | ||||
\(442\) | 8.24148e7 | + | 2.41992e7i | 0.954417 | + | 0.280242i | ||||
\(443\) | 5.81489e7 | + | 2.65557e7i | 0.668852 | + | 0.305455i | 0.720747 | − | 0.693198i | \(-0.243799\pi\) |
−0.0518949 | + | 0.998653i | \(0.516526\pi\) | |||||||
\(444\) | 3.61528e6 | − | 8.48104e6i | 0.0413040 | − | 0.0968947i | ||||
\(445\) | 2.46230e6 | − | 1.71257e7i | 0.0279423 | − | 0.194343i | ||||
\(446\) | 3.40669e7 | + | 1.16021e8i | 0.383997 | + | 1.30777i | ||||
\(447\) | −2.70846e7 | + | 4.46001e7i | −0.303249 | + | 0.499360i | ||||
\(448\) | 8.76224e6 | − | 5.63115e6i | 0.0974498 | − | 0.0626272i | ||||
\(449\) | −4.66102e6 | − | 7.25269e6i | −0.0514923 | − | 0.0801236i | 0.814553 | − | 0.580089i | \(-0.196982\pi\) |
−0.866045 | + | 0.499966i | \(0.833346\pi\) | |||||||
\(450\) | 4.02504e6 | − | 1.68332e7i | 0.0441705 | − | 0.184726i | ||||
\(451\) | 1.60564e7 | − | 4.71459e6i | 0.175033 | − | 0.0513942i | ||||
\(452\) | −1.88258e7 | − | 2.70674e6i | −0.203863 | − | 0.0293111i | ||||
\(453\) | −7.07869e6 | + | 1.66058e7i | −0.0761480 | + | 0.178635i | ||||
\(454\) | −4.81871e7 | + | 1.05515e8i | −0.514948 | + | 1.12758i | ||||
\(455\) | −2.98254e6 | + | 1.01576e7i | −0.0316630 | + | 0.107834i | ||||
\(456\) | 9.30303e7 | − | 8.48504e7i | 0.981138 | − | 0.894868i | ||||
\(457\) | −1.05493e7 | − | 7.33723e7i | −0.110529 | − | 0.768748i | −0.967407 | − | 0.253228i | \(-0.918508\pi\) |
0.856878 | − | 0.515520i | \(-0.172401\pi\) | |||||||
\(458\) | 3.79003e7 | − | 5.89740e7i | 0.394499 | − | 0.613853i | ||||
\(459\) | 7.17252e7 | + | 5.31420e7i | 0.741709 | + | 0.549540i | ||||
\(460\) | −9.22024e6 | + | 1.63317e7i | −0.0947259 | + | 0.167786i | ||||
\(461\) | − | 9.93795e7i | − | 1.01436i | −0.861839 | − | 0.507182i | \(-0.830687\pi\) | ||
0.861839 | − | 0.507182i | \(-0.169313\pi\) | |||||||
\(462\) | 2.72517e6 | + | 725400.i | 0.0276355 | + | 0.00735616i | ||||
\(463\) | 1.88274e7 | + | 1.30948e8i | 0.189692 | + | 1.31933i | 0.832807 | + | 0.553564i | \(0.186733\pi\) |
−0.643115 | + | 0.765770i | \(0.722358\pi\) | |||||||
\(464\) | −2.74246e7 | + | 1.25244e7i | −0.274528 | + | 0.125373i | ||||
\(465\) | 4.17489e6 | + | 1.64030e8i | 0.0415228 | + | 1.63141i | ||||
\(466\) | −1.48904e7 | + | 3.26054e7i | −0.147146 | + | 0.322205i | ||||
\(467\) | −4.00858e7 | − | 3.47345e7i | −0.393586 | − | 0.341044i | 0.435476 | − | 0.900200i | \(-0.356580\pi\) |
−0.829063 | + | 0.559156i | \(0.811125\pi\) | |||||||
\(468\) | −1.25193e7 | − | 2.40890e7i | −0.122136 | − | 0.235007i | ||||
\(469\) | −1.27850e7 | + | 3.75400e6i | −0.123931 | + | 0.0363895i | ||||
\(470\) | 1.78501e6 | − | 1.54672e6i | 0.0171929 | − | 0.0148977i | ||||
\(471\) | −1.17241e8 | + | 1.42472e8i | −1.12206 | + | 1.36353i | ||||
\(472\) | 1.29931e7 | − | 8.35016e6i | 0.123563 | − | 0.0794088i | ||||
\(473\) | 1.13827e6 | − | 986321.i | 0.0107563 | − | 0.00932040i | ||||
\(474\) | 7.64544e7 | + | 1.12562e8i | 0.717906 | + | 1.05695i | ||||
\(475\) | −4.03779e6 | + | 2.80835e7i | −0.0376759 | + | 0.262042i | ||||
\(476\) | −1.70327e6 | − | 1.47590e6i | −0.0157930 | − | 0.0136847i | ||||
\(477\) | −1.31130e8 | + | 2.57213e7i | −1.20822 | + | 0.236995i | ||||
\(478\) | 1.58745e8 | + | 4.66118e7i | 1.45351 | + | 0.426788i | ||||
\(479\) | 1.85560e8 | − | 8.47426e7i | 1.68841 | − | 0.771072i | 0.689508 | − | 0.724278i | \(-0.257827\pi\) |
0.998905 | − | 0.0467940i | \(-0.0149004\pi\) | |||||||
\(480\) | 1.83259e7 | + | 3.75679e7i | 0.165707 | + | 0.339699i | ||||
\(481\) | −5.52437e7 | − | 3.55029e7i | −0.496418 | − | 0.319028i | ||||
\(482\) | − | 2.57963e7i | − | 0.230365i | ||||||
\(483\) | 9.31165e6 | − | 7.13607e6i | 0.0826390 | − | 0.0633312i | ||||
\(484\) | 2.22755e7 | 0.196467 | ||||||||
\(485\) | 8.60457e6 | − | 1.33890e7i | 0.0754231 | − | 0.117361i | ||||
\(486\) | 1.28854e7 | + | 1.00727e8i | 0.112251 | + | 0.877480i | ||||
\(487\) | −2.32604e6 | − | 5.09331e6i | −0.0201386 | − | 0.0440974i | 0.899295 | − | 0.437342i | \(-0.144080\pi\) |
−0.919434 | + | 0.393244i | \(0.871353\pi\) | |||||||
\(488\) | 3.10442e7 | − | 1.05727e8i | 0.267129 | − | 0.909756i | ||||
\(489\) | −1.29202e7 | + | 1.09591e8i | −0.110495 | + | 0.937237i | ||||
\(490\) | 5.97423e7 | − | 6.89463e7i | 0.507801 | − | 0.586034i | ||||
\(491\) | 1.76784e8 | + | 2.54177e7i | 1.49348 | + | 0.214729i | 0.840153 | − | 0.542350i | \(-0.182465\pi\) |
0.653323 | + | 0.757079i | \(0.273374\pi\) | |||||||
\(492\) | −8.54813e6 | − | 1.25852e7i | −0.0717754 | − | 0.105673i | ||||
\(493\) | 2.97304e7 | + | 3.43107e7i | 0.248119 | + | 0.286345i | ||||
\(494\) | −8.65977e7 | − | 1.34749e8i | −0.718333 | − | 1.11775i | ||||
\(495\) | −1.23012e7 | + | 3.10226e7i | −0.101422 | + | 0.255777i | ||||
\(496\) | −1.08204e8 | − | 1.24874e8i | −0.886743 | − | 1.02336i | ||||
\(497\) | 4.05451e6 | + | 1.38084e7i | 0.0330270 | + | 0.112480i | ||||
\(498\) | −3.52356e7 | − | 2.07449e8i | −0.285294 | − | 1.67967i | ||||
\(499\) | −1.24011e8 | + | 1.43116e8i | −0.998065 | + | 1.15183i | −0.00966516 | + | 0.999953i | \(0.503077\pi\) |
−0.988400 | + | 0.151875i | \(0.951469\pi\) | |||||||
\(500\) | −2.66122e7 | − | 1.21534e7i | −0.212898 | − | 0.0972271i | ||||
\(501\) | 1.53709e6 | + | 6.03913e7i | 0.0122232 | + | 0.480243i | ||||
\(502\) | −5.43189e7 | − | 1.18942e8i | −0.429378 | − | 0.940207i | ||||
\(503\) | −9.56083e7 | + | 1.37464e7i | −0.751262 | + | 0.108015i | −0.507300 | − | 0.861769i | \(-0.669356\pi\) |
−0.243962 | + | 0.969785i | \(0.578447\pi\) | |||||||
\(504\) | −730272. | − | 1.43367e7i | −0.00570418 | − | 0.111985i | ||||
\(505\) | 1.06784e8 | 0.829146 | ||||||||
\(506\) | 2.17265e7 | − | 2.81827e7i | 0.167702 | − | 0.217536i | ||||
\(507\) | −6.00207e7 | + | 1.92955e7i | −0.460551 | + | 0.148058i | ||||
\(508\) | 1.03304e7 | + | 6.63893e6i | 0.0787997 | + | 0.0506415i | ||||
\(509\) | −1.88805e8 | + | 2.71461e7i | −1.43173 | + | 0.205852i | −0.814149 | − | 0.580656i | \(-0.802796\pi\) |
−0.617581 | + | 0.786508i | \(0.711887\pi\) | |||||||
\(510\) | −7.09240e7 | + | 6.46878e7i | −0.534666 | + | 0.487654i | ||||
\(511\) | 4.44199e6 | + | 1.30429e6i | 0.0332901 | + | 0.00977486i | ||||
\(512\) | −1.34970e8 | − | 6.16386e7i | −1.00560 | − | 0.459244i | ||||
\(513\) | −3.61879e7 | − | 1.62485e8i | −0.268047 | − | 1.20354i | ||||
\(514\) | −5.42007e6 | + | 3.76974e7i | −0.0399131 | + | 0.277602i | ||||
\(515\) | −2.68180e7 | − | 9.13337e7i | −0.196338 | − | 0.668666i | ||||
\(516\) | −1.17039e6 | − | 710748.i | −0.00851885 | − | 0.00517329i | ||||
\(517\) | 1.04748e6 | − | 673175.i | 0.00758009 | − | 0.00487143i | ||||
\(518\) | −3.35284e6 | − | 5.21712e6i | −0.0241226 | − | 0.0375355i | ||||
\(519\) | 2.03229e7 | − | 3.34657e7i | 0.145373 | − | 0.239386i | ||||
\(520\) | 1.56840e8 | − | 4.60523e7i | 1.11544 | − | 0.327523i | ||||
\(521\) | 1.54054e8 | + | 2.21496e7i | 1.08933 | + | 0.156622i | 0.663496 | − | 0.748179i | \(-0.269072\pi\) |
0.425834 | + | 0.904801i | \(0.359981\pi\) | |||||||
\(522\) | −4.73987e6 | + | 5.14275e7i | −0.0333239 | + | 0.361563i | ||||
\(523\) | −2.06631e7 | + | 4.52458e7i | −0.144441 | + | 0.316281i | −0.968000 | − | 0.250949i | \(-0.919257\pi\) |
0.823560 | + | 0.567230i | \(0.191985\pi\) | |||||||
\(524\) | −1.68816e7 | + | 5.74933e7i | −0.117333 | + | 0.399598i | ||||
\(525\) | 2.17979e6 | + | 2.38994e6i | 0.0150639 | + | 0.0165161i | ||||
\(526\) | 2.69618e7 | + | 1.87524e8i | 0.185264 | + | 1.28854i | ||||
\(527\) | −1.34518e8 | + | 2.09314e8i | −0.919069 | + | 1.43010i | ||||
\(528\) | −1.02853e7 | − | 3.19936e7i | −0.0698741 | − | 0.217351i | ||||
\(529\) | −3.76690e7 | − | 1.43163e8i | −0.254458 | − | 0.967084i | ||||
\(530\) | − | 1.43698e8i | − | 0.965211i | ||||||
\(531\) | −1.03875e6 | − | 2.03927e7i | −0.00693787 | − | 0.136205i | ||||
\(532\) | 598124. | + | 4.16004e6i | 0.00397243 | + | 0.0276289i | ||||
\(533\) | −9.85715e7 | + | 4.50161e7i | −0.650983 | + | 0.297294i | ||||
\(534\) | 2.98359e7 | − | 759387.i | 0.195937 | − | 0.00498700i | ||||
\(535\) | −607996. | + | 1.33132e6i | −0.00397044 | + | 0.00869406i | ||||
\(536\) | 1.55490e8 | + | 1.34733e8i | 1.00973 | + | 0.874940i | ||||
\(537\) | −5.16680e7 | + | 8.77592e6i | −0.333656 | + | 0.0566721i | ||||
\(538\) | −2.09244e8 | + | 6.14396e7i | −1.34371 | + | 0.394549i | ||||
\(539\) | 3.63468e7 | − | 3.14947e7i | 0.232113 | − | 0.201127i | ||||
\(540\) | 3.02731e7 | + | 2.01491e6i | 0.192254 | + | 0.0127960i | ||||
\(541\) | 1.90434e8 | − | 1.22384e8i | 1.20269 | − | 0.772919i | 0.223267 | − | 0.974757i | \(-0.428328\pi\) |
0.979419 | + | 0.201838i | \(0.0646915\pi\) | |||||||
\(542\) | −2.72823e7 | + | 2.36403e7i | −0.171350 | + | 0.148475i | ||||
\(543\) | 1.13181e8 | − | 7.68750e7i | 0.706924 | − | 0.480159i | ||||
\(544\) | −9.02046e6 | + | 6.27387e7i | −0.0560315 | + | 0.389708i | ||||
\(545\) | −1.01234e8 | − | 8.77197e7i | −0.625369 | − | 0.541885i | ||||
\(546\) | −1.81360e7 | − | 2.13813e6i | −0.111420 | − | 0.0131358i | ||||
\(547\) | 1.53842e8 | + | 4.51721e7i | 0.939969 | + | 0.276000i | 0.715605 | − | 0.698506i | \(-0.246151\pi\) |
0.224364 | + | 0.974505i | \(0.427969\pi\) | |||||||
\(548\) | 2.06443e7 | − | 9.42792e6i | 0.125446 | − | 0.0572894i | ||||
\(549\) | −1.00876e8 | − | 1.05101e8i | −0.609637 | − | 0.635168i | ||||
\(550\) | 8.25417e6 | + | 5.30463e6i | 0.0496118 | + | 0.0318836i | ||||
\(551\) | − | 8.46615e7i | − | 0.506094i | ||||||
\(552\) | −1.70426e8 | − | 6.13829e7i | −1.01326 | − | 0.364947i | ||||
\(553\) | −2.54308e7 | −0.150378 | ||||||||
\(554\) | −6.69068e7 | + | 1.04109e8i | −0.393497 | + | 0.612293i | ||||
\(555\) | 6.59600e7 | − | 3.21758e7i | 0.385835 | − | 0.188213i | ||||
\(556\) | −8.82869e6 | − | 1.93321e7i | −0.0513655 | − | 0.112475i | ||||
\(557\) | 5.31420e7 | − | 1.80985e8i | 0.307519 | − | 1.04731i | −0.650237 | − | 0.759732i | \(-0.725330\pi\) |
0.957756 | − | 0.287582i | \(-0.0928515\pi\) | |||||||
\(558\) | −2.77750e8 | + | 5.44811e7i | −1.59864 | + | 0.313577i | ||||
\(559\) | −6.38700e6 | + | 7.37099e6i | −0.0365647 | + | 0.0421979i | ||||
\(560\) | 1.17927e7 | + | 1.69554e6i | 0.0671507 | + | 0.00965482i | ||||
\(561\) | −4.18620e7 | + | 2.84337e7i | −0.237100 | + | 0.161044i | ||||
\(562\) | −1.25000e8 | − | 1.44257e8i | −0.704206 | − | 0.812697i | ||||
\(563\) | −8.24883e7 | − | 1.28354e8i | −0.462240 | − | 0.719259i | 0.529389 | − | 0.848379i | \(-0.322421\pi\) |
−0.991629 | + | 0.129120i | \(0.958785\pi\) | |||||||
\(564\) | −874095. | − | 719296.i | −0.00487216 | − | 0.00400932i | ||||
\(565\) | −9.91458e7 | − | 1.14420e8i | −0.549704 | − | 0.634392i | ||||
\(566\) | 5.43872e7 | + | 1.85226e8i | 0.299949 | + | 1.02153i | ||||
\(567\) | −1.69258e7 | − | 8.58521e6i | −0.0928538 | − | 0.0470979i | ||||
\(568\) | 1.45518e8 | − | 1.67937e8i | 0.794093 | − | 0.916432i | ||||
\(569\) | −2.68316e8 | − | 1.22536e8i | −1.45650 | − | 0.665160i | −0.479331 | − | 0.877634i | \(-0.659121\pi\) |
−0.977167 | + | 0.212474i | \(0.931848\pi\) | |||||||
\(570\) | 1.78951e8 | − | 4.55468e6i | 0.966296 | − | 0.0245943i | ||||
\(571\) | −9.40934e7 | − | 2.06036e8i | −0.505418 | − | 1.10671i | −0.974670 | − | 0.223647i | \(-0.928204\pi\) |
0.469252 | − | 0.883064i | \(-0.344524\pi\) | |||||||
\(572\) | 1.52336e7 | − | 2.19025e6i | 0.0813979 | − | 0.0117032i | ||||
\(573\) | 7.07781e7 | − | 2.65898e8i | 0.376214 | − | 1.41335i | ||||
\(574\) | −1.02337e7 | −0.0541126 | ||||||||
\(575\) | 3.84418e7 | − | 1.37214e7i | 0.202209 | − | 0.0721764i | ||||
\(576\) | −1.72789e8 | + | 1.23902e8i | −0.904166 | + | 0.648352i | ||||
\(577\) | 2.56779e8 | + | 1.65022e8i | 1.33669 | + | 0.859040i | 0.996683 | − | 0.0813813i | \(-0.0259332\pi\) |
0.340010 | + | 0.940422i | \(0.389570\pi\) | |||||||
\(578\) | 2.50029e7 | − | 3.59487e6i | 0.129481 | − | 0.0186166i | ||||
\(579\) | 3.00172e7 | + | 3.29110e7i | 0.154645 | + | 0.169553i | ||||
\(580\) | 1.48054e7 | + | 4.34725e6i | 0.0758814 | + | 0.0222808i | ||||
\(581\) | 3.57723e7 | + | 1.63366e7i | 0.182397 | + | 0.0832980i | ||||
\(582\) | 2.52554e7 | + | 1.07658e7i | 0.128110 | + | 0.0546106i | ||||
\(583\) | 1.07809e7 | − | 7.49829e7i | 0.0544064 | − | 0.378405i | ||||
\(584\) | −2.01391e7 | − | 6.85873e7i | −0.101112 | − | 0.344354i | ||||
\(585\) | 5.02570e7 | − | 2.10181e8i | 0.251032 | − | 1.04985i | ||||
\(586\) | −1.28125e8 | + | 8.23410e7i | −0.636710 | + | 0.409189i | ||||
\(587\) | 1.29889e8 | + | 2.02111e8i | 0.642182 | + | 0.999255i | 0.997907 | + | 0.0646640i | \(0.0205976\pi\) |
−0.355725 | + | 0.934591i | \(0.615766\pi\) | |||||||
\(588\) | −3.73722e7 | − | 2.26953e7i | −0.183830 | − | 0.111636i | ||||
\(589\) | 4.45192e8 | − | 1.30720e8i | 2.17872 | − | 0.639730i | ||||
\(590\) | 2.17343e7 | + | 3.12492e6i | 0.105825 | + | 0.0152154i | ||||
\(591\) | 2.27128e8 | + | 9.68194e7i | 1.10029 | + | 0.469030i | ||||
\(592\) | −3.07006e7 | + | 6.72249e7i | −0.147973 | + | 0.324015i | ||||
\(593\) | 7.62907e7 | − | 2.59822e8i | 0.365854 | − | 1.24598i | −0.546805 | − | 0.837260i | \(-0.684156\pi\) |
0.912658 | − | 0.408723i | \(-0.134026\pi\) | |||||||
\(594\) | −5.63116e7 | − | 1.19588e7i | −0.268682 | − | 0.0570596i | ||||
\(595\) | −2.55320e6 | − | 1.77579e7i | −0.0121209 | − | 0.0843027i | ||||
\(596\) | −1.45394e7 | + | 2.26238e7i | −0.0686765 | + | 0.106863i | ||||
\(597\) | −2.00069e8 | + | 6.43183e7i | −0.940278 | + | 0.302282i | ||||
\(598\) | −1.13287e8 | + | 2.00664e8i | −0.529759 | + | 0.938353i | ||||
\(599\) | 2.15493e8i | 1.00266i | 0.865257 | + | 0.501329i | \(0.167155\pi\) | ||||
−0.865257 | + | 0.501329i | \(0.832845\pi\) | |||||||
\(600\) | 1.28475e7 | − | 4.82653e7i | 0.0594792 | − | 0.223450i | ||||
\(601\) | 4.08544e7 | + | 2.84148e8i | 0.188198 | + | 1.30895i | 0.836670 | + | 0.547708i | \(0.184499\pi\) |
−0.648472 | + | 0.761239i | \(0.724591\pi\) | |||||||
\(602\) | −837843. | + | 382630.i | −0.00384037 | + | 0.00175384i | ||||
\(603\) | 2.56750e8 | − | 8.98099e7i | 1.17100 | − | 0.409612i | ||||
\(604\) | −3.86485e6 | + | 8.46285e6i | −0.0175397 | + | 0.0384066i | ||||
\(605\) | 1.34009e8 | + | 1.16119e8i | 0.605156 | + | 0.524370i | ||||
\(606\) | 3.08453e7 | + | 1.81601e8i | 0.138602 | + | 0.816019i | ||||
\(607\) | 1.88310e8 | − | 5.52927e7i | 0.841989 | − | 0.247230i | 0.167829 | − | 0.985816i | \(-0.446324\pi\) |
0.674160 | + | 0.738586i | \(0.264506\pi\) | |||||||
\(608\) | 8.93286e7 | − | 7.74037e7i | 0.397448 | − | 0.344390i | ||||
\(609\) | −7.45311e6 | − | 6.13320e6i | −0.0329978 | − | 0.0271541i | ||||
\(610\) | 1.31787e8 | − | 8.46944e7i | 0.580608 | − | 0.373134i | ||||
\(611\) | −6.09363e6 | + | 5.28016e6i | −0.0267148 | + | 0.0231485i | ||||
\(612\) | 3.62575e7 | + | 2.83204e7i | 0.158177 | + | 0.123551i | ||||
\(613\) | 1.59260e7 | − | 1.10768e8i | 0.0691393 | − | 0.480874i | −0.925606 | − | 0.378489i | \(-0.876444\pi\) |
0.994745 | − | 0.102385i | \(-0.0326473\pi\) | |||||||
\(614\) | −3.26037e7 | − | 2.82513e7i | −0.140852 | − | 0.122049i | ||||
\(615\) | 1.41795e7 | − | 1.20272e8i | 0.0609586 | − | 0.517060i | ||||
\(616\) | 7.80837e6 | + | 2.29275e6i | 0.0334055 | + | 0.00980875i | ||||
\(617\) | −2.40810e8 | + | 1.09974e8i | −1.02522 | + | 0.468204i | −0.855782 | − | 0.517336i | \(-0.826924\pi\) |
−0.169441 | + | 0.985540i | \(0.554196\pi\) | |||||||
\(618\) | 1.47579e8 | − | 7.19902e7i | 0.625259 | − | 0.305006i | ||||
\(619\) | 3.13611e7 | + | 2.01546e7i | 0.132227 | + | 0.0849770i | 0.605082 | − | 0.796163i | \(-0.293140\pi\) |
−0.472855 | + | 0.881140i | \(0.656777\pi\) | |||||||
\(620\) | 8.45662e7i | 0.354831i | ||||||||
\(621\) | −1.82427e8 | + | 1.55153e8i | −0.761753 | + | 0.647868i | ||||
\(622\) | −3.93132e8 | −1.63368 | ||||||||
\(623\) | −3.01567e6 | + | 4.69247e6i | −0.0124715 | + | 0.0194061i | ||||
\(624\) | 9.54099e7 | + | 1.95589e8i | 0.392681 | + | 0.804992i | ||||
\(625\) | −7.49692e7 | − | 1.64160e8i | −0.307074 | − | 0.672398i | ||||
\(626\) | −6.82216e7 | + | 2.32342e8i | −0.278099 | + | 0.947118i | ||||
\(627\) | 9.37202e7 | + | 1.10491e7i | 0.380216 | + | 0.0448255i | ||||
\(628\) | −6.22731e7 | + | 7.18670e7i | −0.251433 | + | 0.290169i | ||||
\(629\) | 1.10154e8 | + | 1.58377e7i | 0.442636 | + | 0.0636415i | ||||
\(630\) | 1.25629e7 | − | 1.60838e7i | 0.0502423 | − | 0.0643231i | ||||
\(631\) | 2.49524e8 | + | 2.87966e8i | 0.993173 | + | 1.14618i | 0.989257 | + | 0.146190i | \(0.0467011\pi\) |
0.00391620 | + | 0.999992i | \(0.498753\pi\) | |||||||
\(632\) | 2.12293e8 | + | 3.30334e8i | 0.840976 | + | 1.30858i | ||||
\(633\) | 9.08440e7 | − | 1.10394e8i | 0.358167 | − | 0.435247i | ||||
\(634\) | −1.23149e8 | − | 1.42121e8i | −0.483239 | − | 0.557687i | ||||
\(635\) | 2.75394e7 | + | 9.37906e7i | 0.107556 | + | 0.366301i | ||||
\(636\) | −6.78981e7 | + | 1.15326e7i | −0.263928 | + | 0.0448288i | ||||
\(637\) | −2.03947e8 | + | 2.35367e8i | −0.789038 | + | 0.910599i | ||||
\(638\) | −2.66320e7 | − | 1.21624e7i | −0.102551 | − | 0.0468337i | ||||
\(639\) | −9.69991e7 | − | 2.77302e8i | −0.371762 | − | 1.06280i | ||||
\(640\) | −5.38222e7 | − | 1.17854e8i | −0.205315 | − | 0.449578i | ||||
\(641\) | −1.76181e8 | + | 2.53310e7i | −0.668937 | + | 0.0961786i | −0.468412 | − | 0.883510i | \(-0.655174\pi\) |
−0.200525 | + | 0.979689i | \(0.564265\pi\) | |||||||
\(642\) | −2.43973e6 | − | 649420.i | −0.00922013 | − | 0.00245426i | ||||
\(643\) | −3.52224e8 | −1.32491 | −0.662454 | − | 0.749103i | \(-0.730485\pi\) | ||||
−0.662454 | + | 0.749103i | \(0.730485\pi\) | |||||||
\(644\) | 4.89114e6 | − | 3.55455e6i | 0.0183127 | − | 0.0133084i | ||||
\(645\) | −3.33599e6 | − | 1.03769e7i | −0.0124321 | − | 0.0386714i | ||||
\(646\) | 2.28355e8 | + | 1.46755e8i | 0.847058 | + | 0.544371i | ||||
\(647\) | −2.39223e8 | + | 3.43951e7i | −0.883264 | + | 0.126994i | −0.568996 | − | 0.822340i | \(-0.692668\pi\) |
−0.314268 | + | 0.949334i | \(0.601759\pi\) | |||||||
\(648\) | 2.97763e7 | + | 2.91526e8i | 0.109432 | + | 1.07140i | ||||
\(649\) | 1.11067e7 | + | 3.26123e6i | 0.0406305 | + | 0.0119302i | ||||
\(650\) | −5.77951e7 | − | 2.63941e7i | −0.210451 | − | 0.0961097i | ||||
\(651\) | 2.07435e7 | − | 4.86620e7i | 0.0751864 | − | 0.176379i | ||||
\(652\) | −8.09390e6 | + | 5.62943e7i | −0.0292022 | + | 0.203106i | ||||
\(653\) | 3.14965e7 | + | 1.07267e8i | 0.113116 | + | 0.385237i | 0.996518 | − | 0.0833789i | \(-0.0265712\pi\) |
−0.883402 | + | 0.468615i | \(0.844753\pi\) | |||||||
\(654\) | 1.19938e8 | − | 1.97501e8i | 0.428768 | − | 0.706051i | ||||
\(655\) | −4.01265e8 | + | 2.57877e8i | −1.42793 | + | 0.917675i | ||||
\(656\) | 6.59331e7 | + | 1.02594e8i | 0.233556 | + | 0.363421i | ||||
\(657\) | −9.19138e7 | − | 2.19778e7i | −0.324104 | − | 0.0774975i | ||||
\(658\) | −730615. | + | 214528.i | −0.00256455 | + | 0.000753019i | ||||
\(659\) | 2.31461e8 | + | 3.32790e7i | 0.808762 | + | 0.116282i | 0.534278 | − | 0.845309i | \(-0.320584\pi\) |
0.274485 | + | 0.961591i | \(0.411493\pi\) | |||||||
\(660\) | −6.74464e6 | + | 1.58222e7i | −0.0234599 | + | 0.0550344i | ||||
\(661\) | −1.97681e8 | + | 4.32860e8i | −0.684478 | + | 1.49880i | 0.173349 | + | 0.984860i | \(0.444541\pi\) |
−0.857828 | + | 0.513938i | \(0.828186\pi\) | |||||||
\(662\) | −9.87324e7 | + | 3.36252e8i | −0.340319 | + | 1.15902i | ||||
\(663\) | 2.42118e8 | − | 2.20829e8i | 0.830781 | − | 0.757733i | ||||
\(664\) | −8.64165e7 | − | 6.01040e8i | −0.295184 | − | 2.05305i | ||||
\(665\) | −1.80875e7 | + | 2.81447e7i | −0.0615054 | + | 0.0957043i | ||||
\(666\) | 7.37725e7 | + | 1.02880e8i | 0.249731 | + | 0.348264i | ||||
\(667\) | −1.07714e8 | + | 5.68520e7i | −0.362991 | + | 0.191588i | ||||
\(668\) | 3.11350e7i | 0.104453i | ||||||||
\(669\) | 4.45802e8 | + | 1.18666e8i | 1.48889 | + | 0.396322i | ||||
\(670\) | 4.16272e7 | + | 2.89523e8i | 0.138405 | + | 0.962629i | ||||
\(671\) | 7.51219e7 | − | 3.43070e7i | 0.248656 | − | 0.113557i | ||||
\(672\) | −342875. | − | 1.34714e7i | −0.00112987 | − | 0.0443920i | ||||
\(673\) | 5.93783e6 | − | 1.30020e7i | 0.0194797 | − | 0.0426546i | −0.899642 | − | 0.436628i | \(-0.856173\pi\) |
0.919122 | + | 0.393974i | \(0.128900\pi\) | |||||||
\(674\) | 2.96604e8 | + | 2.57009e8i | 0.968719 | + | 0.839400i | ||||
\(675\) | −4.69215e7 | − | 4.64602e7i | −0.152567 | − | 0.151067i | ||||
\(676\) | −3.11770e7 | + | 9.15439e6i | −0.100924 | + | 0.0296339i | ||||
\(677\) | 3.00648e8 | − | 2.60513e8i | 0.968929 | − | 0.839582i | −0.0181468 | − | 0.999835i | \(-0.505777\pi\) |
0.987076 | + | 0.160254i | \(0.0512312\pi\) | |||||||
\(678\) | 1.65949e8 | − | 2.01663e8i | 0.532458 | − | 0.647048i | ||||
\(679\) | −4.31649e6 | + | 2.77404e6i | −0.0137886 | + | 0.00886141i | ||||
\(680\) | −2.09353e8 | + | 1.81405e8i | −0.665813 | + | 0.576930i | ||||
\(681\) | 2.48655e8 | + | 3.66087e8i | 0.787328 | + | 1.15916i | ||||
\(682\) | 2.28354e7 | − | 1.58823e8i | 0.0719871 | − | 0.500681i | ||||
\(683\) | −4.08036e8 | − | 3.53565e8i | −1.28067 | − | 1.10970i | −0.988158 | − | 0.153442i | \(-0.950964\pi\) |
−0.292510 | − | 0.956262i | \(-0.594491\pi\) | |||||||
\(684\) | −1.65140e7 | − | 8.41900e7i | −0.0516042 | − | 0.263083i | ||||
\(685\) | 1.73342e8 | + | 5.08978e7i | 0.539302 | + | 0.158353i | ||||
\(686\) | −5.38003e7 | + | 2.45698e7i | −0.166653 | + | 0.0761078i | ||||
\(687\) | −1.17258e8 | − | 2.40377e8i | −0.361635 | − | 0.741350i | ||||
\(688\) | 9.23388e6 | + | 5.93425e6i | 0.0283543 | + | 0.0182222i | ||||
\(689\) | 4.90551e8i | 1.49978i | ||||||||
\(690\) | −1.25964e8 | − | 2.24620e8i | −0.383443 | − | 0.683755i | ||||
\(691\) | −3.18445e8 | −0.965162 | −0.482581 | − | 0.875851i | \(-0.660301\pi\) | ||||
−0.482581 | + | 0.875851i | \(0.660301\pi\) | |||||||
\(692\) | 1.09097e7 | − | 1.69758e7i | 0.0329225 | − | 0.0512284i | ||||
\(693\) | 7.76214e6 | − | 7.45015e6i | 0.0233229 | − | 0.0223854i | ||||
\(694\) | −8.72223e7 | − | 1.90990e8i | −0.260945 | − | 0.571390i | ||||
\(695\) | 4.76628e7 | − | 1.62325e8i | 0.141979 | − | 0.483537i | ||||
\(696\) | −1.74498e7 | + | 1.48011e8i | −0.0517561 | + | 0.439003i | ||||
\(697\) | 1.20260e8 | − | 1.38787e8i | 0.355159 | − | 0.409875i | ||||
\(698\) | −2.02092e8 | − | 2.90564e7i | −0.594268 | − | 0.0854428i | ||||
\(699\) | 7.68373e7 | + | 1.13125e8i | 0.224978 | + | 0.331229i | ||||
\(700\) | 1.09174e6 | + | 1.25993e6i | 0.00318290 | + | 0.00367327i | ||||
\(701\) | −1.48987e8 | − | 2.31828e8i | −0.432508 | − | 0.672995i | 0.554769 | − | 0.832004i | \(-0.312806\pi\) |
−0.987277 | + | 0.159009i | \(0.949170\pi\) | |||||||
\(702\) | 3.71960e8 | + | 2.47569e7i | 1.07519 | + | 0.0715623i | ||||
\(703\) | −1.35902e8 | − | 1.56839e8i | −0.391164 | − | 0.451428i | ||||
\(704\) | −3.39586e7 | − | 1.15652e8i | −0.0973266 | − | 0.331464i | ||||
\(705\) | −1.50893e6 | − | 8.88382e6i | −0.00430629 | − | 0.0253532i | ||||
\(706\) | 2.97138e8 | − | 3.42915e8i | 0.844391 | − | 0.974479i | ||||
\(707\) | −3.13151e7 | − | 1.43011e7i | −0.0886126 | − | 0.0404680i | ||||
\(708\) | −267766. | − | 1.05204e7i | −0.000754493 | − | 0.0296437i | ||||
\(709\) | 3.27695e7 | + | 7.17552e7i | 0.0919457 | + | 0.201333i | 0.950017 | − | 0.312197i | \(-0.101065\pi\) |
−0.858072 | + | 0.513530i | \(0.828338\pi\) | |||||||
\(710\) | 3.12699e8 | − | 4.49594e7i | 0.873679 | − | 0.125616i | ||||
\(711\) | 5.18460e8 | − | 2.64089e7i | 1.44247 | − | 0.0734753i | ||||
\(712\) | 8.61272e7 | 0.238616 | ||||||||
\(713\) | −4.65270e8 | − | 4.78633e8i | −1.28362 | − | 1.32049i | ||||
\(714\) | 2.94624e7 | − | 9.47159e6i | 0.0809418 | − | 0.0260213i | ||||
\(715\) | 1.03062e8 | + | 6.62341e7i | 0.281956 | + | 0.181202i | ||||
\(716\) | −2.67356e7 | + | 3.84399e6i | −0.0728367 | + | 0.0104723i | ||||
\(717\) | 4.66361e8 | − | 4.25355e8i | 1.26522 | − | 1.15397i | ||||
\(718\) | 2.86687e7 | + | 8.41789e6i | 0.0774524 | + | 0.0227421i | ||||
\(719\) | 3.44406e8 | + | 1.57285e8i | 0.926583 | + | 0.423156i | 0.820789 | − | 0.571232i | \(-0.193534\pi\) |
0.105794 | + | 0.994388i | \(0.466262\pi\) | |||||||
\(720\) | −2.42180e8 | − | 2.23208e7i | −0.648846 | − | 0.0598016i | ||||
\(721\) | −4.36739e6 | + | 3.03759e7i | −0.0116524 | + | 0.0810445i | ||||
\(722\) | −4.88101e7 | − | 1.66232e8i | −0.129687 | − | 0.441675i | ||||
\(723\) | −8.41206e7 | − | 5.10844e7i | −0.222581 | − | 0.135168i | ||||
\(724\) | 5.93212e7 | − | 3.81234e7i | 0.156313 | − | 0.100456i | ||||
\(725\) | −1.81561e7 | − | 2.82514e7i | −0.0476440 | − | 0.0741356i | ||||
\(726\) | −1.58768e8 | + | 2.61443e8i | −0.414909 | + | 0.683230i | ||||
\(727\) | −1.91086e7 | + | 5.61080e6i | −0.0497309 | + | 0.0146023i | −0.306503 | − | 0.951870i | \(-0.599159\pi\) |
0.256773 | + | 0.966472i | \(0.417341\pi\) | |||||||
\(728\) | −5.21620e7 | − | 7.49977e6i | −0.135195 | − | 0.0194381i | ||||
\(729\) | 3.53983e8 | + | 1.57451e8i | 0.913692 | + | 0.406408i | ||||
\(730\) | 4.22170e7 | − | 9.24423e7i | 0.108522 | − | 0.237630i | ||||
\(731\) | 4.65663e6 | − | 1.58590e7i | 0.0119212 | − | 0.0405998i | ||||
\(732\) | −5.05953e7 | − | 5.54729e7i | −0.128996 | − | 0.141432i | ||||
\(733\) | −1.06240e7 | − | 7.38914e7i | −0.0269759 | − | 0.187621i | 0.971878 | − | 0.235485i | \(-0.0756678\pi\) |
−0.998854 | + | 0.0478636i | \(0.984759\pi\) | |||||||
\(734\) | −2.32850e7 | + | 3.62321e7i | −0.0588827 | + | 0.0916232i | ||||
\(735\) | −1.06523e8 | − | 3.31351e8i | −0.268276 | − | 0.834500i | ||||
\(736\) | −1.58466e8 | − | 6.16739e7i | −0.397469 | − | 0.154692i | ||||
\(737\) | 1.54199e8i | 0.385194i | ||||||||
\(738\) | 2.08636e8 | − | 1.06273e7i | 0.519063 | − | 0.0264396i | ||||
\(739\) | 6.52860e6 | + | 4.54074e7i | 0.0161766 | + | 0.112511i | 0.996310 | − | 0.0858295i | \(-0.0273540\pi\) |
−0.980133 | + | 0.198340i | \(0.936445\pi\) | |||||||
\(740\) | 3.44059e7 | − | 1.57127e7i | 0.0849060 | − | 0.0387753i | ||||
\(741\) | −6.10898e8 | + | 1.55486e7i | −1.50146 | + | 0.0382153i | ||||
\(742\) | −1.92449e7 | + | 4.21404e7i | −0.0471090 | + | 0.103154i | ||||
\(743\) | 2.67084e8 | + | 2.31430e8i | 0.651151 | + | 0.564226i | 0.916554 | − | 0.399912i | \(-0.130959\pi\) |
−0.265402 | + | 0.964138i | \(0.585505\pi\) | |||||||
\(744\) | −8.05259e8 | + | 1.36775e8i | −1.95532 | + | 0.332114i | ||||
\(745\) | −2.05404e8 | + | 6.03120e7i | −0.496752 | + | 0.145859i | ||||
\(746\) | 9.14067e7 | − | 7.92044e7i | 0.220172 | − | 0.190780i | ||||
\(747\) | −7.46257e8 | − | 2.95909e8i | −1.79030 | − | 0.709898i | ||||
\(748\) | −2.19411e7 | + | 1.41007e7i | −0.0524268 | + | 0.0336926i | ||||
\(749\) | 356598. | − | 308994.i | 0.000848660 | − | 0.000735368i | ||||
\(750\) | 3.32320e8 | − | 2.25719e8i | 0.787722 | − | 0.535039i | ||||
\(751\) | 8.16650e7 | − | 5.67993e8i | 0.192804 | − | 1.34098i | −0.631738 | − | 0.775182i | \(-0.717658\pi\) |
0.824543 | − | 0.565800i | \(-0.191433\pi\) | |||||||
\(752\) | 6.85780e6 | + | 5.94232e6i | 0.0161262 | + | 0.0139734i | ||||
\(753\) | −4.95431e8 | − | 5.84088e7i | −1.16038 | − | 0.136802i | ||||
\(754\) | 1.81911e8 | + | 5.34139e7i | 0.424370 | + | 0.124606i | ||||
\(755\) | −6.73667e7 | + | 3.07653e7i | −0.156532 | + | 0.0714859i | ||||
\(756\) | −8.60794e6 | − | 4.64524e6i | −0.0199220 | − | 0.0107508i | ||||
\(757\) | 5.19385e8 | + | 3.33788e8i | 1.19730 | + | 0.769456i | 0.978486 | − | 0.206312i | \(-0.0661461\pi\) |
0.218810 | + | 0.975767i | \(0.429782\pi\) | |||||||
\(758\) | − | 1.70078e8i | − | 0.390517i | ||||||
\(759\) | −4.88774e7 | − | 1.26659e8i | −0.111785 | − | 0.289675i | ||||
\(760\) | 5.16577e8 | 1.17678 | ||||||||
\(761\) | −3.00280e8 | + | 4.67244e8i | −0.681353 | + | 1.06021i | 0.312545 | + | 0.949903i | \(0.398818\pi\) |
−0.993898 | + | 0.110303i | \(0.964818\pi\) | |||||||
\(762\) | −1.51549e8 | + | 7.39268e7i | −0.342522 | + | 0.167085i | ||||
\(763\) | 1.79396e7 | + | 3.92823e7i | 0.0403868 | + | 0.0884348i | ||||
\(764\) | 3.99532e7 | − | 1.36068e8i | 0.0895925 | − | 0.305124i | ||||
\(765\) | 7.04933e7 | + | 3.59381e8i | 0.157458 | + | 0.802732i | ||||
\(766\) | −1.10741e8 | + | 1.27802e8i | −0.246390 | + | 0.284350i | ||||
\(767\) | −7.41959e7 | − | 1.06678e7i | −0.164435 | − | 0.0236422i | ||||
\(768\) | −2.32033e8 | + | 1.57602e8i | −0.512231 | + | 0.347919i | ||||
\(769\) | −5.01831e8 | − | 5.79144e8i | −1.10352 | − | 1.27352i | −0.958809 | − | 0.284050i | \(-0.908322\pi\) |
−0.144706 | − | 0.989475i | \(-0.546224\pi\) | |||||||
\(770\) | 6.25505e6 | + | 9.73304e6i | 0.0137012 | + | 0.0213195i | ||||
\(771\) | 1.12196e8 | + | 9.23267e7i | 0.244802 | + | 0.201449i | ||||
\(772\) | 1.50339e7 | + | 1.73501e7i | 0.0326754 | + | 0.0377094i | ||||
\(773\) | −2.19701e8 | − | 7.48231e8i | −0.475656 | − | 1.61993i | −0.752201 | − | 0.658934i | \(-0.771008\pi\) |
0.276545 | − | 0.961001i | \(-0.410810\pi\) | |||||||
\(774\) | 1.66838e7 | − | 8.67078e6i | 0.0359810 | − | 0.0186997i | ||||
\(775\) | 1.20526e8 | − | 1.39095e8i | 0.258927 | − | 0.298817i | ||||
\(776\) | 7.20668e7 | + | 3.29118e7i | 0.154223 | + | 0.0704314i | ||||
\(777\) | −2.36524e7 | + | 602004.i | −0.0504211 | + | 0.00128332i | ||||
\(778\) | −1.32621e8 | − | 2.90399e8i | −0.281626 | − | 0.616675i | ||||
\(779\) | −3.38971e8 | + | 4.87367e7i | −0.717052 | + | 0.103097i | ||||
\(780\) | 2.86497e7 | − | 1.07631e8i | 0.0603720 | − | 0.226805i | ||||
\(781\) | 1.66543e8 | 0.349601 | ||||||||
\(782\) | 3.33698e7 | − | 3.89084e8i | 0.0697804 | − | 0.813622i | ||||
\(783\) | 1.58316e8 | + | 1.17298e8i | 0.329792 | + | 0.244347i | ||||
\(784\) | 2.94851e8 | + | 1.89490e8i | 0.611864 | + | 0.393221i | ||||
\(785\) | −7.49268e8 | + | 1.07728e8i | −1.54892 | + | 0.222701i | ||||
\(786\) | −5.54465e8 | − | 6.07918e8i | −1.14184 | − | 1.25192i | ||||
\(787\) | 6.98903e8 | + | 2.05216e8i | 1.43381 | + | 0.421006i | 0.904155 | − | 0.427205i | \(-0.140502\pi\) |
0.529659 | + | 0.848211i | \(0.322320\pi\) | |||||||
\(788\) | 1.15751e8 | + | 5.28619e7i | 0.236563 | + | 0.108035i | ||||
\(789\) | 6.64898e8 | + | 2.83431e8i | 1.35370 | + | 0.577054i | ||||
\(790\) | −7.94473e7 | + | 5.52568e8i | −0.161138 | + | 1.12074i | ||||
\(791\) | 1.37513e7 | + | 4.68328e7i | 0.0277853 | + | 0.0946282i | ||||
\(792\) | −1.61571e8 | − | 3.86337e7i | −0.325228 | − | 0.0777662i | ||||
\(793\) | −4.49890e8 | + | 2.89127e8i | −0.902168 | + | 0.579788i | ||||
\(794\) | −4.52027e8 | − | 7.03368e8i | −0.903031 | − | 1.40514i | ||||
\(795\) | −4.68592e8 | − | 2.84564e8i | −0.932595 | − | 0.566342i | ||||
\(796\) | −1.03923e8 | + | 3.05146e7i | −0.206050 | + | 0.0605018i | ||||
\(797\) | 3.27877e8 | + | 4.71416e7i | 0.647643 | + | 0.0931170i | 0.458305 | − | 0.888795i | \(-0.348457\pi\) |
0.189338 | + | 0.981912i | \(0.439366\pi\) | |||||||
\(798\) | −5.30887e7 | − | 2.26305e7i | −0.104471 | − | 0.0445335i | ||||
\(799\) | 5.67632e6 | − | 1.24294e7i | 0.0111282 | − | 0.0243674i | ||||
\(800\) | 1.32092e7 | − | 4.49865e7i | 0.0257993 | − | 0.0878643i | ||||
\(801\) | 5.66077e7 | − | 9.87974e7i | 0.110148 | − | 0.192242i | ||||
\(802\) | −9.99895e7 | − | 6.95442e8i | −0.193835 | − | 1.34815i | ||||
\(803\) | 2.89647e7 | − | 4.50700e7i | 0.0559400 | − | 0.0870444i | ||||
\(804\) | 1.33461e8 | − | 4.29051e7i | 0.256794 | − | 0.0825545i | ||||
\(805\) | 4.79544e7 | + | 4.11281e6i | 0.0919265 | + | 0.00788408i | ||||
\(806\) | 1.03905e9i | 1.98441i | ||||||||
\(807\) | −2.14014e8 | + | 8.04003e8i | −0.407212 | + | 1.52981i | ||||
\(808\) | 7.56492e7 | + | 5.26152e8i | 0.143407 | + | 0.997417i | ||||
\(809\) | 9.86852e7 | − | 4.50680e7i | 0.186383 | − | 0.0851183i | −0.320038 | − | 0.947405i | \(-0.603696\pi\) |
0.506421 | + | 0.862287i | \(0.330968\pi\) | |||||||
\(810\) | −2.39419e8 | + | 3.40948e8i | −0.450509 | + | 0.641553i | ||||
\(811\) | −2.57026e8 | + | 5.62809e8i | −0.481854 | + | 1.05511i | 0.500096 | + | 0.865970i | \(0.333298\pi\) |
−0.981950 | + | 0.189143i | \(0.939429\pi\) | |||||||
\(812\) | −3.75957e6 | − | 3.25769e6i | −0.00702215 | − | 0.00608473i | ||||
\(813\) | 2.30627e7 | + | 1.35781e8i | 0.0429179 | + | 0.252678i | ||||
\(814\) | −6.88605e7 | + | 2.02193e7i | −0.127672 | + | 0.0374880i | ||||
\(815\) | −3.42148e8 | + | 2.96473e8i | −0.632035 | + | 0.547662i | ||||
\(816\) | −2.84771e8 | − | 2.34339e8i | −0.524113 | − | 0.431295i | ||||
\(817\) | −2.59296e7 | + | 1.66639e7i | −0.0475477 | + | 0.0305570i | ||||
\(818\) | 6.34634e8 | − | 5.49914e8i | 1.15948 | − | 1.00470i | ||||
\(819\) | −4.28869e7 | + | 5.49063e7i | −0.0780680 | + | 0.0999473i | ||||
\(820\) | 8.88276e6 | − | 6.17809e7i | 0.0161104 | − | 0.112050i | ||||
\(821\) | −1.38539e8 | − | 1.20044e8i | −0.250346 | − | 0.216926i | 0.520643 | − | 0.853775i | \(-0.325692\pi\) |
−0.770989 | + | 0.636848i | \(0.780238\pi\) | |||||||
\(822\) | −3.64879e7 | + | 3.09495e8i | −0.0656951 | + | 0.557235i | ||||
\(823\) | 1.02448e9 | + | 3.00814e8i | 1.83782 | + | 0.539633i | 0.999980 | − | 0.00628052i | \(-0.00199916\pi\) |
0.837841 | + | 0.545914i | \(0.183817\pi\) | |||||||
\(824\) | 4.31026e8 | − | 1.96843e8i | 0.770411 | − | 0.351835i | ||||
\(825\) | 3.36439e7 | − | 1.64117e7i | 0.0599162 | − | 0.0292275i | ||||
\(826\) | −5.95523e6 | − | 3.82719e6i | −0.0105672 | − | 0.00679110i | ||||
\(827\) | − | 1.46322e8i | − | 0.258697i | −0.991599 | − | 0.129349i | \(-0.958711\pi\) | ||
0.991599 | − | 0.129349i | \(-0.0412887\pi\) | |||||||
\(828\) | −9.60248e7 | + | 7.75461e7i | −0.169158 | + | 0.136606i | ||||
\(829\) | 8.80562e7 | 0.154560 | 0.0772799 | − | 0.997009i | \(-0.475377\pi\) | ||||
0.0772799 | + | 0.997009i | \(0.475377\pi\) | |||||||
\(830\) | 4.66722e8 | − | 7.26234e8i | 0.816252 | − | 1.27011i | ||||
\(831\) | 2.06999e8 | + | 4.24347e8i | 0.360716 | + | 0.739466i | ||||
\(832\) | 3.24245e8 | + | 7.09998e8i | 0.562994 | + | 1.23278i | ||||
\(833\) | 1.48693e8 | − | 5.06402e8i | 0.257250 | − | 0.876114i | ||||
\(834\) | 2.89824e8 | + | 3.41687e7i | 0.499615 | + | 0.0589020i | ||||
\(835\) | −1.62303e8 | + | 1.87308e8i | −0.278784 | + | 0.321734i | ||||
\(836\) | 4.81417e7 | + | 6.92174e6i | 0.0823954 | + | 0.0118467i | ||||
\(837\) | −3.72366e8 | + | 1.01362e9i | −0.635030 | + | 1.72861i | ||||
\(838\) | −2.08131e8 | − | 2.40196e8i | −0.353676 | − | 0.408164i | ||||
\(839\) | 2.21516e8 | + | 3.44685e8i | 0.375075 | + | 0.583628i | 0.976557 | − | 0.215258i | \(-0.0690592\pi\) |
−0.601482 | + | 0.798886i | \(0.705423\pi\) | |||||||
\(840\) | 3.74228e7 | − | 4.54765e7i | 0.0631391 | − | 0.0767271i | ||||
\(841\) | −3.23904e8 | − | 3.73805e8i | −0.544538 | − | 0.628430i | ||||
\(842\) | 4.17625e7 | + | 1.42230e8i | 0.0699601 | + | 0.238262i | ||||
\(843\) | −7.17952e8 | + | 1.21946e8i | −1.19843 | + | 0.203556i | ||||
\(844\) | 4.82524e7 | − | 5.56863e7i | 0.0802586 | − | 0.0926234i | ||||
\(845\) | −2.35281e8 | − | 1.07449e8i | −0.389957 | − | 0.178087i | ||||
\(846\) | 1.46723e7 | − | 5.13232e6i | 0.0242319 | − | 0.00847622i | ||||
\(847\) | −2.37476e7 | − | 5.20001e7i | −0.0390814 | − | 0.0855764i | ||||
\(848\) | 5.46450e8 | − | 7.85676e7i | 0.896112 | − | 0.128842i | ||||
\(849\) | 7.11715e8 | + | 1.89448e8i | 1.16301 | + | 0.309576i | ||||
\(850\) | 1.07674e8 | 0.175329 | ||||||||
\(851\) | −1.08284e8 | + | 2.78227e8i | −0.175702 | + | 0.451452i | ||||
\(852\) | −4.63396e7 | − | 1.44144e8i | −0.0749262 | − | 0.233066i | ||||
\(853\) | −1.48777e8 | − | 9.56134e7i | −0.239712 | − | 0.154054i | 0.415270 | − | 0.909698i | \(-0.363687\pi\) |
−0.654982 | + | 0.755645i | \(0.727324\pi\) | |||||||
\(854\) | −4.99903e7 | + | 7.18752e6i | −0.0802624 | + | 0.0115400i | ||||
\(855\) | 3.39524e8 | − | 5.92571e8i | 0.543216 | − | 0.948074i | ||||
\(856\) | −6.99051e6 | − | 2.05260e6i | −0.0111452 | − | 0.00327252i | ||||
\(857\) | 7.60822e8 | + | 3.47456e8i | 1.20876 | + | 0.552023i | 0.914844 | − | 0.403808i | \(-0.132314\pi\) |
0.293918 | + | 0.955831i | \(0.405041\pi\) | |||||||
\(858\) | −8.28702e7 | + | 1.94404e8i | −0.131201 | + | 0.307783i | ||||
\(859\) | 1.15216e8 | − | 8.01344e8i | 0.181774 | − | 1.26427i | −0.670790 | − | 0.741647i | \(-0.734045\pi\) |
0.852565 | − | 0.522622i | \(-0.175046\pi\) | |||||||
\(860\) | −1.58270e6 | − | 5.39016e6i | −0.00248830 | − | 0.00847436i | ||||
\(861\) | −2.02658e7 | + | 3.33717e7i | −0.0317508 | + | 0.0522841i | ||||
\(862\) | −6.29934e8 | + | 4.04834e8i | −0.983497 | + | 0.632055i | ||||
\(863\) | −4.04979e8 | − | 6.30160e8i | −0.630086 | − | 0.980433i | −0.998706 | − | 0.0508532i | \(-0.983806\pi\) |
0.368620 | − | 0.929580i | \(-0.379830\pi\) | |||||||
\(864\) | 2.09797e7 | + | 2.74286e8i | 0.0325281 | + | 0.425268i | ||||
\(865\) | 1.54125e8 | − | 4.52551e7i | 0.238135 | − | 0.0699229i | ||||
\(866\) | 7.66193e8 | + | 1.10162e8i | 1.17973 | + | 0.169620i | ||||
\(867\) | 3.77904e7 | − | 8.86521e7i | 0.0579861 | − | 0.136029i | ||||
\(868\) | 1.13256e7 | − | 2.47997e7i | 0.0173182 | − | 0.0379216i | ||||
\(869\) | −8.29128e7 | + | 2.82375e8i | −0.126346 | + | 0.430296i | ||||
\(870\) | −1.56548e8 | + | 1.42783e8i | −0.237733 | + | 0.216830i | ||||
\(871\) | −1.42106e8 | − | 9.88366e8i | −0.215058 | − | 1.49576i | ||||
\(872\) | 3.60500e8 | − | 5.60950e8i | 0.543696 | − | 0.846008i | ||||
\(873\) | 8.51199e7 | − | 6.10371e7i | 0.127935 | − | 0.0917383i | ||||
\(874\) | −5.22174e8 | + | 5.07596e8i | −0.782133 | + | 0.760297i | ||||
\(875\) | 7.50804e7i | 0.112073i | ||||||||
\(876\) | −4.70677e7 | − | 1.25287e7i | −0.0700182 | − | 0.0186378i | ||||
\(877\) | 2.95262e7 | + | 2.05360e8i | 0.0437733 | + | 0.304450i | 0.999933 | + | 0.0116033i | \(0.00369351\pi\) |
−0.956159 | + | 0.292847i | \(0.905397\pi\) | |||||||
\(878\) | −2.64646e8 | + | 1.20860e8i | −0.391005 | + | 0.178566i | ||||
\(879\) | 1.47844e7 | + | 5.80870e8i | 0.0217689 | + | 0.855288i | ||||
\(880\) | 5.72749e7 | − | 1.25414e8i | 0.0840458 | − | 0.184035i | ||||
\(881\) | 6.09435e8 | + | 5.28078e8i | 0.891250 | + | 0.772273i | 0.974531 | − | 0.224253i | \(-0.0719943\pi\) |
−0.0832805 | + | 0.996526i | \(0.526540\pi\) | |||||||
\(882\) | 5.32740e8 | − | 2.76871e8i | 0.776443 | − | 0.403526i | ||||
\(883\) | 5.12407e8 | − | 1.50456e8i | 0.744274 | − | 0.218538i | 0.112457 | − | 0.993657i | \(-0.464128\pi\) |
0.631816 | + | 0.775118i | \(0.282310\pi\) | |||||||
\(884\) | 1.27640e8 | − | 1.10601e8i | 0.184770 | − | 0.160104i | ||||
\(885\) | 5.32306e7 | − | 6.46862e7i | 0.0767947 | − | 0.0933216i | ||||
\(886\) | −3.80587e8 | + | 2.44589e8i | −0.547209 | + | 0.351670i | ||||
\(887\) | 5.21517e8 | − | 4.51897e8i | 0.747304 | − | 0.647543i | −0.195571 | − | 0.980690i | \(-0.562656\pi\) |
0.942875 | + | 0.333147i | \(0.108111\pi\) | |||||||
\(888\) | 2.05267e8 | + | 3.02208e8i | 0.293143 | + | 0.431586i | ||||
\(889\) | 4.48488e6 | − | 3.11930e7i | 0.00638330 | − | 0.0443968i | ||||
\(890\) | 9.25382e7 | + | 8.01848e7i | 0.131266 | + | 0.113742i | ||||
\(891\) | −1.50511e8 | + | 1.59947e8i | −0.212782 | + | 0.226123i | ||||
\(892\) | 2.28131e8 | + | 6.69852e7i | 0.321432 | + | 0.0943809i | ||||
\(893\) | −2.31784e7 | + | 1.05852e7i | −0.0325484 | + | 0.0148644i | ||||
\(894\) | −1.61901e8 | − | 3.31897e8i | −0.226589 | − | 0.464505i | ||||
\(895\) | −1.80879e8 | − | 1.16244e8i | −0.252301 | − | 0.162144i | ||||
\(896\) | 4.17698e7i | 0.0580682i | ||||||||
\(897\) | 4.30014e8 | + | 7.66800e8i | 0.595806 | + | 1.06244i | ||||
\(898\) | 6.10132e7 | 0.0842549 | ||||||||
\(899\) | −2.96916e8 | + | 4.62011e8i | −0.408653 | + | 0.635877i | ||||
\(900\) | −2.35657e7 | − | 2.45526e7i | −0.0323261 | − | 0.0336798i | ||||
\(901\) | −3.45345e8 | − | 7.56199e8i | −0.472148 | − | 1.03386i | ||||
\(902\) | −3.33653e7 | + | 1.13632e8i | −0.0454649 | + | 0.154839i | ||||
\(903\) | −411440. | + | 3.48989e6i | −0.000558782 | + | 0.00473967i | ||||
\(904\) | 4.93541e8 | − | 5.69576e8i | 0.668064 | − | 0.770986i | ||||
\(905\) | 5.55608e8 | + | 7.98843e7i | 0.749588 | + | 0.107774i | ||||
\(906\) | −7.17802e7 | − | 1.05680e8i | −0.0965206 | − | 0.142104i | ||||
\(907\) | 1.66263e8 | + | 1.91878e8i | 0.222830 | + | 0.257160i | 0.856146 | − | 0.516733i | \(-0.172852\pi\) |
−0.633316 | + | 0.773893i | \(0.718307\pi\) | |||||||
\(908\) | 1.23312e8 | + | 1.91877e8i | 0.164720 | + | 0.256309i | ||||
\(909\) | 6.53275e8 | + | 2.59039e8i | 0.869770 | + | 0.344884i | ||||
\(910\) | −4.90625e7 | − | 5.66211e7i | −0.0651066 | − | 0.0751371i | ||||
\(911\) | 2.33374e8 | + | 7.94798e8i | 0.308672 | + | 1.05124i | 0.957050 | + | 0.289922i | \(0.0936293\pi\) |
−0.648378 | + | 0.761318i | \(0.724553\pi\) | |||||||
\(912\) | 1.15163e8 | + | 6.78020e8i | 0.151820 | + | 0.893837i | ||||
\(913\) | 2.98026e8 | − | 3.43940e8i | 0.391599 | − | 0.451929i | ||||
\(914\) | 4.77192e8 | + | 2.17926e8i | 0.624963 | + | 0.285411i | ||||
\(915\) | −1.52069e7 | − | 5.97471e8i | −0.0198508 | − | 0.779927i | ||||
\(916\) | −5.72614e7 | − | 1.25385e8i | −0.0745034 | − | 0.163140i | ||||
\(917\) | 1.52210e8 | − | 2.18845e7i | 0.197395 | − | 0.0283811i | ||||
\(918\) | −5.90816e8 | + | 2.23694e8i | −0.763702 | + | 0.289152i | ||||
\(919\) | −1.22108e9 | −1.57325 | −0.786627 | − | 0.617428i | \(-0.788175\pi\) | ||||
−0.786627 | + | 0.617428i | \(0.788175\pi\) | |||||||
\(920\) | −3.46893e8 | − | 6.57237e8i | −0.445484 | − | 0.844031i | ||||
\(921\) | −1.56691e8 | + | 5.03733e7i | −0.200570 | + | 0.0644794i | ||||
\(922\) | 5.91664e8 | + | 3.80240e8i | 0.754888 | + | 0.485137i | ||||
\(923\) | −1.06748e9 | + | 1.53481e8i | −1.35755 | + | 0.195186i | ||||
\(924\) | 4.09692e6 | − | 3.73668e6i | 0.00519327 | − | 0.00473664i | ||||
\(925\) | −7.89852e7 | − | 2.31921e7i | −0.0997977 | − | 0.0293032i | ||||
\(926\) | −8.51644e8 | − | 3.88933e8i | −1.07257 | − | 0.489826i | ||||
\(927\) | 5.74943e7 | − | 6.23812e8i | 0.0721748 | − | 0.783095i | ||||
\(928\) | −1.99105e7 | + | 1.38481e8i | −0.0249137 | + | 0.173279i | ||||
\(929\) | −1.78242e8 | − | 6.07037e8i | −0.222312 | − | 0.757126i | −0.992812 | − | 0.119685i | \(-0.961811\pi\) |
0.770500 | − | 0.637440i | \(-0.220007\pi\) | |||||||
\(930\) | −9.92538e8 | − | 6.02744e8i | −1.23395 | − | 0.749349i | ||||
\(931\) | −8.27971e8 | + | 5.32104e8i | −1.02604 | + | 0.659398i | ||||
\(932\) | 3.81048e7 | + | 5.92922e7i | 0.0470686 | + | 0.0732402i | ||||
\(933\) | −7.78518e8 | + | 1.28198e9i | −0.958570 | + | 1.57848i | ||||
\(934\) | 3.60169e8 | − | 1.05755e8i | 0.442044 | − | 0.129796i | ||||
\(935\) | −2.05502e8 | − | 2.95467e7i | −0.251409 | − | 0.0361472i | ||||
\(936\) | 1.07122e9 | + | 9.87302e7i | 1.30633 | + | 0.120399i | ||||
\(937\) | −2.27330e7 | + | 4.97783e7i | −0.0276336 | + | 0.0605092i | −0.922946 | − | 0.384931i | \(-0.874225\pi\) |
0.895312 | + | 0.445440i | \(0.146953\pi\) | |||||||
\(938\) | 2.65673e7 | − | 9.04797e7i | 0.0321913 | − | 0.109633i | ||||
\(939\) | 6.22556e8 | + | 6.82573e8i | 0.751937 | + | 0.824427i | ||||
\(940\) | −660937. | − | 4.59692e6i | −0.000795750 | − | 0.00553456i | ||||
\(941\) | −1.42435e8 | + | 2.21634e8i | −0.170942 | + | 0.265991i | −0.916145 | − | 0.400847i | \(-0.868716\pi\) |
0.745203 | + | 0.666837i | \(0.232352\pi\) | |||||||
\(942\) | −3.99639e8 | − | 1.24312e9i | −0.478096 | − | 1.48717i | ||||
\(943\) | 2.89634e8 | + | 3.98543e8i | 0.345394 | + | 0.475269i | ||||
\(944\) | 8.43591e7i | 0.100280i | ||||||||
\(945\) | −2.75702e7 | − | 7.28178e7i | −0.0326696 | − | 0.0862864i | ||||
\(946\) | 1.51695e6 | + | 1.05506e7i | 0.00179183 | + | 0.0124625i | ||||
\(947\) | −8.01198e8 | + | 3.65895e8i | −0.943387 | + | 0.430830i | −0.826892 | − | 0.562361i | \(-0.809893\pi\) |
−0.116495 | + | 0.993191i | \(0.537166\pi\) | |||||||
\(948\) | 2.67468e8 | − | 6.80762e6i | 0.313940 | − | 0.00799043i | ||||
\(949\) | −1.44119e8 | + | 3.15577e8i | −0.168625 | + | 0.369238i | ||||
\(950\) | −1.51748e8 | − | 1.31491e8i | −0.176992 | − | 0.153364i | ||||
\(951\) | −7.07321e8 | + | 1.20140e8i | −0.822384 | + | 0.139684i | ||||
\(952\) | 8.56892e7 | − | 2.51606e7i | 0.0993151 | − | 0.0291615i | ||||
\(953\) | 8.81851e8 | − | 7.64128e8i | 1.01886 | − | 0.882851i | 0.0257115 | − | 0.999669i | \(-0.491815\pi\) |
0.993153 | + | 0.116818i | \(0.0372694\pi\) | |||||||
\(954\) | 3.48586e8 | − | 8.79105e8i | 0.401481 | − | 1.01250i | ||||
\(955\) | 9.49664e8 | − | 6.10312e8i | 1.09033 | − | 0.700716i | ||||
\(956\) | 2.45857e8 | − | 2.13036e8i | 0.281390 | − | 0.243826i | ||||
\(957\) | −9.24004e7 | + | 6.27605e7i | −0.105424 | + | 0.0716062i | ||||
\(958\) | −2.05457e8 | + | 1.42899e9i | −0.233682 | + | 1.62529i | ||||
\(959\) | −4.40173e7 | − | 3.81412e7i | −0.0499077 | − | 0.0432452i | ||||
\(960\) | −8.66307e8 | − | 1.02133e8i | −0.979170 | − | 0.115439i | ||||
\(961\) | −2.03637e9 | − | 5.97933e8i | −2.29450 | − | 0.673725i | ||||
\(962\) | 4.22740e8 | − | 1.93059e8i | 0.474841 | − | 0.216852i | ||||
\(963\) | −6.94912e6 | + | 6.66980e6i | −0.00778128 | + | 0.00746852i | ||||
\(964\) | −4.26708e7 | − | 2.74229e7i | −0.0476321 | − | 0.0306113i | ||||
\(965\) | 1.82748e8i | 0.203362i | ||||||||
\(966\) | 6.85756e6 | + | 8.27413e7i | 0.00760743 | + | 0.0917890i | ||||
\(967\) | −1.89304e8 | −0.209353 | −0.104677 | − | 0.994506i | \(-0.533381\pi\) | ||||
−0.104677 | + | 0.994506i | \(0.533381\pi\) | |||||||
\(968\) | −4.77214e8 | + | 7.42559e8i | −0.526123 | + | 0.818663i | ||||
\(969\) | 9.30772e8 | − | 4.54037e8i | 1.02299 | − | 0.499022i | ||||
\(970\) | 4.67902e7 | + | 1.02456e8i | 0.0512672 | + | 0.112259i | ||||
\(971\) | 4.17869e8 | − | 1.42313e9i | 0.456439 | − | 1.55449i | −0.334380 | − | 0.942438i | \(-0.608527\pi\) |
0.790819 | − | 0.612050i | \(-0.209655\pi\) | |||||||
\(972\) | 1.80315e8 | + | 8.57639e7i | 0.196351 | + | 0.0933911i | ||||
\(973\) | −3.57170e7 | + | 4.12196e7i | −0.0387736 | + | 0.0447471i | ||||
\(974\) | 3.92232e7 | + | 5.63945e6i | 0.0424489 | + | 0.00610323i | ||||
\(975\) | −2.00522e8 | + | 1.36199e8i | −0.216345 | + | 0.146947i | ||||
\(976\) | 3.94129e8 | + | 4.54849e8i | 0.423924 | + | 0.489235i | ||||
\(977\) | 4.09344e8 | + | 6.36951e8i | 0.438939 | + | 0.683003i | 0.988290 | − | 0.152589i | \(-0.0487611\pi\) |
−0.549350 | + | 0.835592i | \(0.685125\pi\) | |||||||
\(978\) | −6.03026e8 | − | 4.96233e8i | −0.644644 | − | 0.530480i | ||||
\(979\) | 4.22715e7 | + | 4.87839e7i | 0.0450505 | + | 0.0519910i | ||||
\(980\) | −5.05378e7 | − | 1.72116e8i | −0.0536955 | − | 0.182870i | ||||
\(981\) | −4.06530e8 | − | 7.82222e8i | −0.430611 | − | 0.828558i | ||||
\(982\) | −8.27726e8 | + | 9.55246e8i | −0.874082 | + | 1.00874i | ||||
\(983\) | 3.53299e8 | + | 1.61346e8i | 0.371948 | + | 0.169863i | 0.592614 | − | 0.805486i | \(-0.298096\pi\) |
−0.220666 | + | 0.975349i | \(0.570823\pi\) | |||||||
\(984\) | 6.02659e8 | − | 1.53389e7i | 0.632537 | − | 0.0160994i | ||||
\(985\) | 4.20795e8 | + | 9.21413e8i | 0.440314 | + | 0.964153i | ||||
\(986\) | −3.18024e8 | + | 4.57250e7i | −0.331764 | + | 0.0477005i | ||||
\(987\) | −747270. | + | 2.80733e6i | −0.000777188 | + | 0.00291973i | ||||
\(988\) | −3.14952e8 | −0.326568 | ||||||||
\(989\) | 3.86137e7 | + | 2.17998e7i | 0.0399165 | + | 0.0225353i | ||||
\(990\) | −1.37630e8 | − | 1.91933e8i | −0.141842 | − | 0.197808i | ||||
\(991\) | 3.38530e8 | + | 2.17560e8i | 0.347838 | + | 0.223542i | 0.702880 | − | 0.711309i | \(-0.251897\pi\) |
−0.355042 | + | 0.934850i | \(0.615534\pi\) | |||||||
\(992\) | −7.58942e8 | + | 1.09119e8i | −0.777452 | + | 0.111781i | ||||
\(993\) | 9.00982e8 | + | 9.87840e8i | 0.920170 | + | 1.00888i | ||||
\(994\) | −9.77226e7 | − | 2.86939e7i | −0.0995029 | − | 0.0292167i | ||||
\(995\) | −7.84268e8 | − | 3.58163e8i | −0.796151 | − | 0.363590i | ||||
\(996\) | −3.80607e8 | − | 1.62244e8i | −0.385211 | − | 0.164207i | ||||
\(997\) | −3.04842e7 | + | 2.12022e8i | −0.0307602 | + | 0.213942i | −0.999404 | − | 0.0345104i | \(-0.989013\pi\) |
0.968644 | + | 0.248452i | \(0.0799219\pi\) | |||||||
\(998\) | −3.77572e8 | − | 1.28589e9i | −0.379847 | − | 1.29364i | ||||
\(999\) | 4.81579e8 | − | 3.68352e7i | 0.483027 | − | 0.0369459i |
(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.h.a.2.14 | ✓ | 460 | |
3.2 | odd | 2 | inner | 69.7.h.a.2.33 | yes | 460 | |
23.12 | even | 11 | inner | 69.7.h.a.35.33 | yes | 460 | |
69.35 | odd | 22 | inner | 69.7.h.a.35.14 | yes | 460 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.7.h.a.2.14 | ✓ | 460 | 1.1 | even | 1 | trivial | |
69.7.h.a.2.33 | yes | 460 | 3.2 | odd | 2 | inner | |
69.7.h.a.35.14 | yes | 460 | 69.35 | odd | 22 | inner | |
69.7.h.a.35.33 | yes | 460 | 23.12 | even | 11 | inner |