Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [147,6,Mod(67,147)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(147, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("147.67");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 147 = 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 147.e (of order \(3\), degree \(2\), not 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: | \(23.5764215125\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{6})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 21) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 67.1 | ||
Root | \(0.500000 + 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 147.67 |
Dual form | 147.6.e.j.79.1 |
$q$-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 \(\left(\mathbb{Z}/147\mathbb{Z}\right)^\times\).
\(n\) | \(50\) | \(52\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 3.00000 | + | 5.19615i | 0.530330 | + | 0.918559i | 0.999374 | + | 0.0353837i | \(0.0112653\pi\) |
−0.469044 | + | 0.883175i | \(0.655401\pi\) | |||||||
\(3\) | 4.50000 | − | 7.79423i | 0.288675 | − | 0.500000i | ||||
\(4\) | −2.00000 | + | 3.46410i | −0.0625000 | + | 0.108253i | ||||
\(5\) | −39.0000 | − | 67.5500i | −0.697653 | − | 1.20837i | −0.969278 | − | 0.245968i | \(-0.920894\pi\) |
0.271625 | − | 0.962403i | \(-0.412439\pi\) | |||||||
\(6\) | 54.0000 | 0.612372 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 168.000 | 0.928078 | ||||||||
\(9\) | −40.5000 | − | 70.1481i | −0.166667 | − | 0.288675i | ||||
\(10\) | 234.000 | − | 405.300i | 0.739973 | − | 1.28167i | ||||
\(11\) | −222.000 | + | 384.515i | −0.553186 | + | 0.958146i | 0.444856 | + | 0.895602i | \(0.353255\pi\) |
−0.998042 | + | 0.0625444i | \(0.980079\pi\) | |||||||
\(12\) | 18.0000 | + | 31.1769i | 0.0360844 | + | 0.0625000i | ||||
\(13\) | −442.000 | −0.725377 | −0.362689 | − | 0.931910i | \(-0.618141\pi\) | ||||
−0.362689 | + | 0.931910i | \(0.618141\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −702.000 | −0.805581 | ||||||||
\(16\) | 568.000 | + | 983.805i | 0.554688 | + | 0.960747i | ||||
\(17\) | 63.0000 | − | 109.119i | 0.0528711 | − | 0.0915754i | −0.838379 | − | 0.545088i | \(-0.816496\pi\) |
0.891250 | + | 0.453513i | \(0.149829\pi\) | |||||||
\(18\) | 243.000 | − | 420.888i | 0.176777 | − | 0.306186i | ||||
\(19\) | −1342.00 | − | 2324.41i | −0.852842 | − | 1.47717i | −0.878633 | − | 0.477498i | \(-0.841544\pi\) |
0.0257909 | − | 0.999667i | \(-0.491790\pi\) | |||||||
\(20\) | 312.000 | 0.174413 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2664.00 | −1.17348 | ||||||||
\(23\) | −2100.00 | − | 3637.31i | −0.827751 | − | 1.43371i | −0.899799 | − | 0.436306i | \(-0.856287\pi\) |
0.0720476 | − | 0.997401i | \(-0.477047\pi\) | |||||||
\(24\) | 756.000 | − | 1309.43i | 0.267913 | − | 0.464039i | ||||
\(25\) | −1479.50 | + | 2562.57i | −0.473440 | + | 0.820022i | ||||
\(26\) | −1326.00 | − | 2296.70i | −0.384689 | − | 0.666301i | ||||
\(27\) | −729.000 | −0.192450 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −5442.00 | −1.20161 | −0.600805 | − | 0.799396i | \(-0.705153\pi\) | ||||
−0.600805 | + | 0.799396i | \(0.705153\pi\) | |||||||
\(30\) | −2106.00 | − | 3647.70i | −0.427224 | − | 0.739973i | ||||
\(31\) | −40.0000 | + | 69.2820i | −0.00747577 | + | 0.0129484i | −0.869739 | − | 0.493512i | \(-0.835713\pi\) |
0.862263 | + | 0.506460i | \(0.169046\pi\) | |||||||
\(32\) | −720.000 | + | 1247.08i | −0.124296 | + | 0.215287i | ||||
\(33\) | 1998.00 | + | 3460.64i | 0.319382 | + | 0.553186i | ||||
\(34\) | 756.000 | 0.112157 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 324.000 | 0.0416667 | ||||||||
\(37\) | 2717.00 | + | 4705.98i | 0.326276 | + | 0.565127i | 0.981770 | − | 0.190074i | \(-0.0608727\pi\) |
−0.655494 | + | 0.755201i | \(0.727539\pi\) | |||||||
\(38\) | 8052.00 | − | 13946.5i | 0.904575 | − | 1.56677i | ||||
\(39\) | −1989.00 | + | 3445.05i | −0.209398 | + | 0.362689i | ||||
\(40\) | −6552.00 | − | 11348.4i | −0.647476 | − | 1.12146i | ||||
\(41\) | 7962.00 | 0.739712 | 0.369856 | − | 0.929089i | \(-0.379407\pi\) | ||||
0.369856 | + | 0.929089i | \(0.379407\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −11524.0 | −0.950456 | −0.475228 | − | 0.879863i | \(-0.657634\pi\) | ||||
−0.475228 | + | 0.879863i | \(0.657634\pi\) | |||||||
\(44\) | −888.000 | − | 1538.06i | −0.0691483 | − | 0.119768i | ||||
\(45\) | −3159.00 | + | 5471.55i | −0.232551 | + | 0.402790i | ||||
\(46\) | 12600.0 | − | 21823.8i | 0.877962 | − | 1.52068i | ||||
\(47\) | 6960.00 | + | 12055.1i | 0.459584 | + | 0.796022i | 0.998939 | − | 0.0460561i | \(-0.0146653\pi\) |
−0.539355 | + | 0.842078i | \(0.681332\pi\) | |||||||
\(48\) | 10224.0 | 0.640498 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −17754.0 | −1.00432 | ||||||||
\(51\) | −567.000 | − | 982.073i | −0.0305251 | − | 0.0528711i | ||||
\(52\) | 884.000 | − | 1531.13i | 0.0453361 | − | 0.0785244i | ||||
\(53\) | 4797.00 | − | 8308.65i | 0.234574 | − | 0.406294i | −0.724575 | − | 0.689196i | \(-0.757964\pi\) |
0.959149 | + | 0.282902i | \(0.0912971\pi\) | |||||||
\(54\) | −2187.00 | − | 3788.00i | −0.102062 | − | 0.176777i | ||||
\(55\) | 34632.0 | 1.54373 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −24156.0 | −0.984777 | ||||||||
\(58\) | −16326.0 | − | 28277.5i | −0.637250 | − | 1.10375i | ||||
\(59\) | −13746.0 | + | 23808.8i | −0.514098 | + | 0.890445i | 0.485768 | + | 0.874088i | \(0.338540\pi\) |
−0.999866 | + | 0.0163567i | \(0.994793\pi\) | |||||||
\(60\) | 1404.00 | − | 2431.80i | 0.0503488 | − | 0.0872067i | ||||
\(61\) | −24739.0 | − | 42849.2i | −0.851251 | − | 1.47441i | −0.880080 | − | 0.474825i | \(-0.842511\pi\) |
0.0288292 | − | 0.999584i | \(-0.490822\pi\) | |||||||
\(62\) | −480.000 | −0.0158585 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 27712.0 | 0.845703 | ||||||||
\(65\) | 17238.0 | + | 29857.1i | 0.506062 | + | 0.876525i | ||||
\(66\) | −11988.0 | + | 20763.8i | −0.338756 | + | 0.586742i | ||||
\(67\) | 29678.0 | − | 51403.8i | 0.807695 | − | 1.39897i | −0.106761 | − | 0.994285i | \(-0.534048\pi\) |
0.914456 | − | 0.404685i | \(-0.132619\pi\) | |||||||
\(68\) | 252.000 | + | 436.477i | 0.00660889 | + | 0.0114469i | ||||
\(69\) | −37800.0 | −0.955805 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 32040.0 | 0.754304 | 0.377152 | − | 0.926151i | \(-0.376903\pi\) | ||||
0.377152 | + | 0.926151i | \(0.376903\pi\) | |||||||
\(72\) | −6804.00 | − | 11784.9i | −0.154680 | − | 0.267913i | ||||
\(73\) | 30923.0 | − | 53560.2i | 0.679164 | − | 1.17635i | −0.296069 | − | 0.955166i | \(-0.595676\pi\) |
0.975233 | − | 0.221180i | \(-0.0709907\pi\) | |||||||
\(74\) | −16302.0 | + | 28235.9i | −0.346068 | + | 0.599408i | ||||
\(75\) | 13315.5 | + | 23063.1i | 0.273341 | + | 0.473440i | ||||
\(76\) | 10736.0 | 0.213210 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −23868.0 | −0.444201 | ||||||||
\(79\) | 32888.0 | + | 56963.7i | 0.592884 | + | 1.02691i | 0.993842 | + | 0.110809i | \(0.0353441\pi\) |
−0.400958 | + | 0.916097i | \(0.631323\pi\) | |||||||
\(80\) | 44304.0 | − | 76736.8i | 0.773959 | − | 1.34054i | ||||
\(81\) | −3280.50 | + | 5681.99i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 23886.0 | + | 41371.8i | 0.392291 | + | 0.679469i | ||||
\(83\) | 40188.0 | 0.640326 | 0.320163 | − | 0.947362i | \(-0.396262\pi\) | ||||
0.320163 | + | 0.947362i | \(0.396262\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −9828.00 | −0.147543 | ||||||||
\(86\) | −34572.0 | − | 59880.5i | −0.504056 | − | 0.873050i | ||||
\(87\) | −24489.0 | + | 42416.2i | −0.346875 | + | 0.600805i | ||||
\(88\) | −37296.0 | + | 64598.6i | −0.513400 | + | 0.889234i | ||||
\(89\) | 3987.00 | + | 6905.69i | 0.0533545 | + | 0.0924127i | 0.891469 | − | 0.453081i | \(-0.149675\pi\) |
−0.838115 | + | 0.545494i | \(0.816342\pi\) | |||||||
\(90\) | −37908.0 | −0.493315 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 16800.0 | 0.206938 | ||||||||
\(93\) | 360.000 | + | 623.538i | 0.00431614 | + | 0.00747577i | ||||
\(94\) | −41760.0 | + | 72330.4i | −0.487462 | + | 0.844309i | ||||
\(95\) | −104676. | + | 181304.i | −1.18998 | + | 2.06110i | ||||
\(96\) | 6480.00 | + | 11223.7i | 0.0717624 | + | 0.124296i | ||||
\(97\) | −143662. | −1.55029 | −0.775144 | − | 0.631784i | \(-0.782323\pi\) | ||||
−0.775144 | + | 0.631784i | \(0.782323\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 35964.0 | 0.368791 | ||||||||
\(100\) | −5918.00 | − | 10250.3i | −0.0591800 | − | 0.102503i | ||||
\(101\) | 1353.00 | − | 2343.46i | 0.0131976 | − | 0.0228589i | −0.859351 | − | 0.511386i | \(-0.829132\pi\) |
0.872549 | + | 0.488527i | \(0.162466\pi\) | |||||||
\(102\) | 3402.00 | − | 5892.44i | 0.0323768 | − | 0.0560783i | ||||
\(103\) | −65884.0 | − | 114114.i | −0.611909 | − | 1.05986i | −0.990918 | − | 0.134465i | \(-0.957068\pi\) |
0.379009 | − | 0.925393i | \(-0.376265\pi\) | |||||||
\(104\) | −74256.0 | −0.673206 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 57564.0 | 0.497607 | ||||||||
\(107\) | 64458.0 | + | 111645.i | 0.544274 | + | 0.942710i | 0.998652 | + | 0.0519010i | \(0.0165280\pi\) |
−0.454378 | + | 0.890809i | \(0.650139\pi\) | |||||||
\(108\) | 1458.00 | − | 2525.33i | 0.0120281 | − | 0.0208333i | ||||
\(109\) | 50489.0 | − | 87449.5i | 0.407034 | − | 0.705003i | −0.587522 | − | 0.809208i | \(-0.699896\pi\) |
0.994556 | + | 0.104205i | \(0.0332298\pi\) | |||||||
\(110\) | 103896. | + | 179953.i | 0.818686 | + | 1.41800i | ||||
\(111\) | 48906.0 | 0.376751 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 220146. | 1.62186 | 0.810932 | − | 0.585140i | \(-0.198960\pi\) | ||||
0.810932 | + | 0.585140i | \(0.198960\pi\) | |||||||
\(114\) | −72468.0 | − | 125518.i | −0.522257 | − | 0.904575i | ||||
\(115\) | −163800. | + | 283710.i | −1.15497 | + | 2.00046i | ||||
\(116\) | 10884.0 | − | 18851.6i | 0.0751006 | − | 0.130078i | ||||
\(117\) | 17901.0 | + | 31005.4i | 0.120896 | + | 0.209398i | ||||
\(118\) | −164952. | −1.09057 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −117936. | −0.747641 | ||||||||
\(121\) | −18042.5 | − | 31250.5i | −0.112030 | − | 0.194041i | ||||
\(122\) | 148434. | − | 257095.i | 0.902888 | − | 1.56385i | ||||
\(123\) | 35829.0 | − | 62057.6i | 0.213536 | − | 0.369856i | ||||
\(124\) | −160.000 | − | 277.128i | −0.000934471 | − | 0.00161855i | ||||
\(125\) | −12948.0 | −0.0741187 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −74320.0 | −0.408880 | −0.204440 | − | 0.978879i | \(-0.565537\pi\) | ||||
−0.204440 | + | 0.978879i | \(0.565537\pi\) | |||||||
\(128\) | 106176. | + | 183902.i | 0.572798 | + | 0.992115i | ||||
\(129\) | −51858.0 | + | 89820.7i | −0.274373 | + | 0.475228i | ||||
\(130\) | −103428. | + | 179143.i | −0.536760 | + | 0.929695i | ||||
\(131\) | 77658.0 | + | 134508.i | 0.395374 | + | 0.684808i | 0.993149 | − | 0.116856i | \(-0.0372817\pi\) |
−0.597775 | + | 0.801664i | \(0.703948\pi\) | |||||||
\(132\) | −15984.0 | −0.0798455 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 356136. | 1.71338 | ||||||||
\(135\) | 28431.0 | + | 49243.9i | 0.134263 | + | 0.232551i | ||||
\(136\) | 10584.0 | − | 18332.0i | 0.0490685 | − | 0.0849891i | ||||
\(137\) | 132123. | − | 228844.i | 0.601419 | − | 1.04169i | −0.391188 | − | 0.920311i | \(-0.627936\pi\) |
0.992606 | − | 0.121377i | \(-0.0387310\pi\) | |||||||
\(138\) | −113400. | − | 196415.i | −0.506892 | − | 0.877962i | ||||
\(139\) | 224612. | 0.986043 | 0.493022 | − | 0.870017i | \(-0.335892\pi\) | ||||
0.493022 | + | 0.870017i | \(0.335892\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 125280. | 0.530682 | ||||||||
\(142\) | 96120.0 | + | 166485.i | 0.400030 | + | 0.692873i | ||||
\(143\) | 98124.0 | − | 169956.i | 0.401269 | − | 0.695018i | ||||
\(144\) | 46008.0 | − | 79688.2i | 0.184896 | − | 0.320249i | ||||
\(145\) | 212238. | + | 367607.i | 0.838307 | + | 1.45199i | ||||
\(146\) | 371076. | 1.44072 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −21736.0 | −0.0815690 | ||||||||
\(149\) | 41037.0 | + | 71078.2i | 0.151429 | + | 0.262283i | 0.931753 | − | 0.363092i | \(-0.118279\pi\) |
−0.780324 | + | 0.625376i | \(0.784946\pi\) | |||||||
\(150\) | −79893.0 | + | 138379.i | −0.289922 | + | 0.502159i | ||||
\(151\) | 143516. | − | 248577.i | 0.512222 | − | 0.887194i | −0.487678 | − | 0.873024i | \(-0.662156\pi\) |
0.999900 | − | 0.0141703i | \(-0.00451071\pi\) | |||||||
\(152\) | −225456. | − | 390501.i | −0.791503 | − | 1.37092i | ||||
\(153\) | −10206.0 | −0.0352474 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 6240.00 | 0.0208620 | ||||||||
\(156\) | −7956.00 | − | 13780.2i | −0.0261748 | − | 0.0453361i | ||||
\(157\) | −64939.0 | + | 112478.i | −0.210260 | + | 0.364181i | −0.951796 | − | 0.306732i | \(-0.900764\pi\) |
0.741536 | + | 0.670913i | \(0.234098\pi\) | |||||||
\(158\) | −197328. | + | 341782.i | −0.628848 | + | 1.08920i | ||||
\(159\) | −43173.0 | − | 74777.8i | −0.135431 | − | 0.234574i | ||||
\(160\) | 112320. | 0.346862 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −39366.0 | −0.117851 | ||||||||
\(163\) | −277642. | − | 480890.i | −0.818495 | − | 1.41768i | −0.906791 | − | 0.421581i | \(-0.861475\pi\) |
0.0882955 | − | 0.996094i | \(-0.471858\pi\) | |||||||
\(164\) | −15924.0 | + | 27581.2i | −0.0462320 | + | 0.0800761i | ||||
\(165\) | 155844. | − | 269930.i | 0.445636 | − | 0.771864i | ||||
\(166\) | 120564. | + | 208823.i | 0.339584 | + | 0.588177i | ||||
\(167\) | 43512.0 | 0.120731 | 0.0603654 | − | 0.998176i | \(-0.480773\pi\) | ||||
0.0603654 | + | 0.998176i | \(0.480773\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −175929. | −0.473828 | ||||||||
\(170\) | −29484.0 | − | 51067.8i | −0.0782464 | − | 0.135527i | ||||
\(171\) | −108702. | + | 188277.i | −0.284281 | + | 0.492388i | ||||
\(172\) | 23048.0 | − | 39920.3i | 0.0594035 | − | 0.102890i | ||||
\(173\) | 9165.00 | + | 15874.2i | 0.0232818 | + | 0.0403253i | 0.877432 | − | 0.479702i | \(-0.159255\pi\) |
−0.854150 | + | 0.520027i | \(0.825922\pi\) | |||||||
\(174\) | −293868. | −0.735833 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −504384. | −1.22738 | ||||||||
\(177\) | 123714. | + | 214279.i | 0.296815 | + | 0.514098i | ||||
\(178\) | −23922.0 | + | 41434.1i | −0.0565910 | + | 0.0980185i | ||||
\(179\) | 76662.0 | − | 132782.i | 0.178833 | − | 0.309748i | −0.762648 | − | 0.646814i | \(-0.776101\pi\) |
0.941481 | + | 0.337066i | \(0.109434\pi\) | |||||||
\(180\) | −12636.0 | − | 21886.2i | −0.0290689 | − | 0.0503488i | ||||
\(181\) | −382066. | −0.866846 | −0.433423 | − | 0.901191i | \(-0.642694\pi\) | ||||
−0.433423 | + | 0.901191i | \(0.642694\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −445302. | −0.982940 | ||||||||
\(184\) | −352800. | − | 611068.i | −0.768217 | − | 1.33059i | ||||
\(185\) | 211926. | − | 367067.i | 0.455255 | − | 0.788525i | ||||
\(186\) | −2160.00 | + | 3741.23i | −0.00457795 | + | 0.00792925i | ||||
\(187\) | 27972.0 | + | 48448.9i | 0.0584951 | + | 0.101316i | ||||
\(188\) | −55680.0 | −0.114896 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −1.25611e6 | −2.52432 | ||||||||
\(191\) | 136704. | + | 236778.i | 0.271143 | + | 0.469633i | 0.969155 | − | 0.246453i | \(-0.0792652\pi\) |
−0.698012 | + | 0.716086i | \(0.745932\pi\) | |||||||
\(192\) | 124704. | − | 215994.i | 0.244133 | − | 0.422852i | ||||
\(193\) | −76801.0 | + | 133023.i | −0.148414 | + | 0.257060i | −0.930641 | − | 0.365933i | \(-0.880750\pi\) |
0.782228 | + | 0.622993i | \(0.214083\pi\) | |||||||
\(194\) | −430986. | − | 746490.i | −0.822165 | − | 1.42403i | ||||
\(195\) | 310284. | 0.584350 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 154422. | 0.283494 | 0.141747 | − | 0.989903i | \(-0.454728\pi\) | ||||
0.141747 | + | 0.989903i | \(0.454728\pi\) | |||||||
\(198\) | 107892. | + | 186874.i | 0.195581 | + | 0.338756i | ||||
\(199\) | 183428. | − | 317707.i | 0.328347 | − | 0.568714i | −0.653837 | − | 0.756635i | \(-0.726842\pi\) |
0.982184 | + | 0.187922i | \(0.0601752\pi\) | |||||||
\(200\) | −248556. | + | 430512.i | −0.439389 | + | 0.761044i | ||||
\(201\) | −267102. | − | 462634.i | −0.466323 | − | 0.807695i | ||||
\(202\) | 16236.0 | 0.0279963 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 4536.00 | 0.00763128 | ||||||||
\(205\) | −310518. | − | 537833.i | −0.516062 | − | 0.893846i | ||||
\(206\) | 395304. | − | 684687.i | 0.649028 | − | 1.12415i | ||||
\(207\) | −170100. | + | 294622.i | −0.275917 | + | 0.477902i | ||||
\(208\) | −251056. | − | 434842.i | −0.402358 | − | 0.696904i | ||||
\(209\) | 1.19170e6 | 1.88712 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 520244. | 0.804453 | 0.402227 | − | 0.915540i | \(-0.368236\pi\) | ||||
0.402227 | + | 0.915540i | \(0.368236\pi\) | |||||||
\(212\) | 19188.0 | + | 33234.6i | 0.0293218 | + | 0.0507868i | ||||
\(213\) | 144180. | − | 249727.i | 0.217749 | − | 0.377152i | ||||
\(214\) | −386748. | + | 669867.i | −0.577289 | + | 0.999895i | ||||
\(215\) | 449436. | + | 778446.i | 0.663089 | + | 1.14850i | ||||
\(216\) | −122472. | −0.178609 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 605868. | 0.863449 | ||||||||
\(219\) | −278307. | − | 482042.i | −0.392115 | − | 0.679164i | ||||
\(220\) | −69264.0 | + | 119969.i | −0.0964830 | + | 0.167113i | ||||
\(221\) | −27846.0 | + | 48230.7i | −0.0383515 | + | 0.0664267i | ||||
\(222\) | 146718. | + | 254123.i | 0.199803 | + | 0.346068i | ||||
\(223\) | 304736. | 0.410357 | 0.205178 | − | 0.978725i | \(-0.434223\pi\) | ||||
0.205178 | + | 0.978725i | \(0.434223\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 239679. | 0.315627 | ||||||||
\(226\) | 660438. | + | 1.14391e6i | 0.860124 | + | 1.48978i | ||||
\(227\) | −144294. | + | 249925.i | −0.185859 | + | 0.321917i | −0.943866 | − | 0.330330i | \(-0.892840\pi\) |
0.758007 | + | 0.652247i | \(0.226173\pi\) | |||||||
\(228\) | 48312.0 | − | 83678.8i | 0.0615486 | − | 0.106605i | ||||
\(229\) | −386095. | − | 668736.i | −0.486525 | − | 0.842687i | 0.513355 | − | 0.858177i | \(-0.328403\pi\) |
−0.999880 | + | 0.0154899i | \(0.995069\pi\) | |||||||
\(230\) | −1.96560e6 | −2.45005 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −914256. | −1.11519 | ||||||||
\(233\) | −126117. | − | 218441.i | −0.152189 | − | 0.263599i | 0.779843 | − | 0.625975i | \(-0.215299\pi\) |
−0.932032 | + | 0.362376i | \(0.881966\pi\) | |||||||
\(234\) | −107406. | + | 186033.i | −0.128230 | + | 0.222100i | ||||
\(235\) | 542880. | − | 940296.i | 0.641260 | − | 1.11069i | ||||
\(236\) | −54984.0 | − | 95235.1i | −0.0642623 | − | 0.111306i | ||||
\(237\) | 591984. | 0.684603 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −1.45114e6 | −1.64329 | −0.821643 | − | 0.570002i | \(-0.806942\pi\) | ||||
−0.821643 | + | 0.570002i | \(0.806942\pi\) | |||||||
\(240\) | −398736. | − | 690631.i | −0.446845 | − | 0.773959i | ||||
\(241\) | 73199.0 | − | 126784.i | 0.0811825 | − | 0.140612i | −0.822576 | − | 0.568656i | \(-0.807464\pi\) |
0.903758 | + | 0.428043i | \(0.140797\pi\) | |||||||
\(242\) | 108255. | − | 187503.i | 0.118825 | − | 0.205812i | ||||
\(243\) | 29524.5 | + | 51137.9i | 0.0320750 | + | 0.0555556i | ||||
\(244\) | 197912. | 0.212813 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 429948. | 0.452979 | ||||||||
\(247\) | 593164. | + | 1.02739e6i | 0.618632 | + | 1.07150i | ||||
\(248\) | −6720.00 | + | 11639.4i | −0.00693809 | + | 0.0120171i | ||||
\(249\) | 180846. | − | 313234.i | 0.184846 | − | 0.320163i | ||||
\(250\) | −38844.0 | − | 67279.8i | −0.0393074 | − | 0.0680824i | ||||
\(251\) | 607860. | 0.609003 | 0.304501 | − | 0.952512i | \(-0.401510\pi\) | ||||
0.304501 | + | 0.952512i | \(0.401510\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1.86480e6 | 1.83160 | ||||||||
\(254\) | −222960. | − | 386178.i | −0.216842 | − | 0.375581i | ||||
\(255\) | −44226.0 | + | 76601.7i | −0.0425919 | + | 0.0737714i | ||||
\(256\) | −193664. | + | 335436.i | −0.184692 | + | 0.319897i | ||||
\(257\) | −47793.0 | − | 82779.9i | −0.0451369 | − | 0.0781794i | 0.842574 | − | 0.538580i | \(-0.181039\pi\) |
−0.887711 | + | 0.460401i | \(0.847706\pi\) | |||||||
\(258\) | −622296. | −0.582033 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −137904. | −0.126515 | ||||||||
\(261\) | 220401. | + | 381746.i | 0.200268 | + | 0.346875i | ||||
\(262\) | −465948. | + | 807046.i | −0.419357 | + | 0.726348i | ||||
\(263\) | 1.10017e6 | − | 1.90555e6i | 0.980779 | − | 1.69876i | 0.321410 | − | 0.946940i | \(-0.395843\pi\) |
0.659370 | − | 0.751819i | \(-0.270823\pi\) | |||||||
\(264\) | 335664. | + | 581387.i | 0.296411 | + | 0.513400i | ||||
\(265\) | −748332. | −0.654605 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 71766.0 | 0.0616085 | ||||||||
\(268\) | 118712. | + | 205615.i | 0.100962 | + | 0.174871i | ||||
\(269\) | −885123. | + | 1.53308e6i | −0.745801 | + | 1.29177i | 0.204019 | + | 0.978967i | \(0.434600\pi\) |
−0.949820 | + | 0.312798i | \(0.898734\pi\) | |||||||
\(270\) | −170586. | + | 295464.i | −0.142408 | + | 0.246658i | ||||
\(271\) | 111752. | + | 193560.i | 0.0924341 | + | 0.160101i | 0.908535 | − | 0.417809i | \(-0.137202\pi\) |
−0.816101 | + | 0.577910i | \(0.803869\pi\) | |||||||
\(272\) | 143136. | 0.117308 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 1.58548e6 | 1.27580 | ||||||||
\(275\) | −656898. | − | 1.13778e6i | −0.523801 | − | 0.907250i | ||||
\(276\) | 75600.0 | − | 130943.i | 0.0597378 | − | 0.103469i | ||||
\(277\) | 171389. | − | 296854.i | 0.134210 | − | 0.232458i | −0.791086 | − | 0.611705i | \(-0.790484\pi\) |
0.925295 | + | 0.379248i | \(0.123817\pi\) | |||||||
\(278\) | 673836. | + | 1.16712e6i | 0.522928 | + | 0.905739i | ||||
\(279\) | 6480.00 | 0.00498384 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 480378. | 0.362925 | 0.181463 | − | 0.983398i | \(-0.441917\pi\) | ||||
0.181463 | + | 0.983398i | \(0.441917\pi\) | |||||||
\(282\) | 375840. | + | 650974.i | 0.281436 | + | 0.487462i | ||||
\(283\) | 14990.0 | − | 25963.4i | 0.0111259 | − | 0.0192706i | −0.860409 | − | 0.509604i | \(-0.829792\pi\) |
0.871535 | + | 0.490334i | \(0.163125\pi\) | |||||||
\(284\) | −64080.0 | + | 110990.i | −0.0471440 | + | 0.0816558i | ||||
\(285\) | 942084. | + | 1.63174e6i | 0.687033 | + | 1.18998i | ||||
\(286\) | 1.17749e6 | 0.851219 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 116640. | 0.0828641 | ||||||||
\(289\) | 701990. | + | 1.21588e6i | 0.494409 | + | 0.856342i | ||||
\(290\) | −1.27343e6 | + | 2.20564e6i | −0.889159 | + | 1.54007i | ||||
\(291\) | −646479. | + | 1.11973e6i | −0.447530 | + | 0.775144i | ||||
\(292\) | 123692. | + | 214241.i | 0.0848955 | + | 0.147043i | ||||
\(293\) | −198066. | −0.134785 | −0.0673924 | − | 0.997727i | \(-0.521468\pi\) | ||||
−0.0673924 | + | 0.997727i | \(0.521468\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.14438e6 | 1.43465 | ||||||||
\(296\) | 456456. | + | 790605.i | 0.302810 | + | 0.524482i | ||||
\(297\) | 161838. | − | 280312.i | 0.106461 | − | 0.184395i | ||||
\(298\) | −246222. | + | 426469.i | −0.160615 | + | 0.278193i | ||||
\(299\) | 928200. | + | 1.60769e6i | 0.600432 | + | 1.03998i | ||||
\(300\) | −106524. | −0.0683352 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 1.72219e6 | 1.08659 | ||||||||
\(303\) | −12177.0 | − | 21091.2i | −0.00761963 | − | 0.0131976i | ||||
\(304\) | 1.52451e6 | − | 2.64053e6i | 0.946121 | − | 1.63873i | ||||
\(305\) | −1.92964e6 | + | 3.34224e6i | −1.18776 | + | 2.05725i | ||||
\(306\) | −30618.0 | − | 53031.9i | −0.0186928 | − | 0.0323768i | ||||
\(307\) | −1.04564e6 | −0.633191 | −0.316595 | − | 0.948561i | \(-0.602540\pi\) | ||||
−0.316595 | + | 0.948561i | \(0.602540\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −1.18591e6 | −0.706572 | ||||||||
\(310\) | 18720.0 | + | 32424.0i | 0.0110637 | + | 0.0191629i | ||||
\(311\) | −918588. | + | 1.59104e6i | −0.538542 | + | 0.932783i | 0.460441 | + | 0.887691i | \(0.347691\pi\) |
−0.998983 | + | 0.0450920i | \(0.985642\pi\) | |||||||
\(312\) | −334152. | + | 578768.i | −0.194338 | + | 0.336603i | ||||
\(313\) | 182747. | + | 316527.i | 0.105436 | + | 0.182621i | 0.913916 | − | 0.405903i | \(-0.133043\pi\) |
−0.808480 | + | 0.588523i | \(0.799709\pi\) | |||||||
\(314\) | −779268. | −0.446029 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −263104. | −0.148221 | ||||||||
\(317\) | 14169.0 | + | 24541.4i | 0.00791938 | + | 0.0137168i | 0.869958 | − | 0.493126i | \(-0.164146\pi\) |
−0.862039 | + | 0.506843i | \(0.830812\pi\) | |||||||
\(318\) | 259038. | − | 448667.i | 0.143647 | − | 0.248803i | ||||
\(319\) | 1.20812e6 | − | 2.09253e6i | 0.664714 | − | 1.15132i | ||||
\(320\) | −1.08077e6 | − | 1.87195e6i | −0.590007 | − | 1.02192i | ||||
\(321\) | 1.16024e6 | 0.628473 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −338184. | −0.180363 | ||||||||
\(324\) | −13122.0 | − | 22728.0i | −0.00694444 | − | 0.0120281i | ||||
\(325\) | 653939. | − | 1.13266e6i | 0.343423 | − | 0.594825i | ||||
\(326\) | 1.66585e6 | − | 2.88534e6i | 0.868145 | − | 1.50367i | ||||
\(327\) | −454401. | − | 787046.i | −0.235001 | − | 0.407034i | ||||
\(328\) | 1.33762e6 | 0.686510 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 1.87013e6 | 0.945337 | ||||||||
\(331\) | −966958. | − | 1.67482e6i | −0.485107 | − | 0.840230i | 0.514746 | − | 0.857342i | \(-0.327886\pi\) |
−0.999854 | + | 0.0171123i | \(0.994553\pi\) | |||||||
\(332\) | −80376.0 | + | 139215.i | −0.0400204 | + | 0.0693173i | ||||
\(333\) | 220077. | − | 381185.i | 0.108759 | − | 0.188376i | ||||
\(334\) | 130536. | + | 226095.i | 0.0640271 | + | 0.110898i | ||||
\(335\) | −4.62977e6 | −2.25397 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1.88817e6 | −0.905664 | −0.452832 | − | 0.891596i | \(-0.649586\pi\) | ||||
−0.452832 | + | 0.891596i | \(0.649586\pi\) | |||||||
\(338\) | −527787. | − | 914154.i | −0.251285 | − | 0.435239i | ||||
\(339\) | 990657. | − | 1.71587e6i | 0.468192 | − | 0.810932i | ||||
\(340\) | 19656.0 | − | 34045.2i | 0.00922142 | − | 0.0159720i | ||||
\(341\) | −17760.0 | − | 30761.2i | −0.00827098 | − | 0.0143258i | ||||
\(342\) | −1.30442e6 | −0.603050 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −1.93603e6 | −0.882097 | ||||||||
\(345\) | 1.47420e6 | + | 2.55339e6i | 0.666820 | + | 1.15497i | ||||
\(346\) | −54990.0 | + | 95245.5i | −0.0246941 | + | 0.0427715i | ||||
\(347\) | −1.45969e6 | + | 2.52825e6i | −0.650782 | + | 1.12719i | 0.332151 | + | 0.943226i | \(0.392226\pi\) |
−0.982933 | + | 0.183962i | \(0.941108\pi\) | |||||||
\(348\) | −97956.0 | − | 169665.i | −0.0433594 | − | 0.0751006i | ||||
\(349\) | −780682. | −0.343092 | −0.171546 | − | 0.985176i | \(-0.554876\pi\) | ||||
−0.171546 | + | 0.985176i | \(0.554876\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 322218. | 0.139599 | ||||||||
\(352\) | −319680. | − | 553702.i | −0.137518 | − | 0.238188i | ||||
\(353\) | −667185. | + | 1.15560e6i | −0.284977 | + | 0.493594i | −0.972604 | − | 0.232470i | \(-0.925319\pi\) |
0.687627 | + | 0.726064i | \(0.258653\pi\) | |||||||
\(354\) | −742284. | + | 1.28567e6i | −0.314820 | + | 0.545284i | ||||
\(355\) | −1.24956e6 | − | 2.16430e6i | −0.526243 | − | 0.911479i | ||||
\(356\) | −31896.0 | −0.0133386 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 919944. | 0.379362 | ||||||||
\(359\) | −508716. | − | 881122.i | −0.208324 | − | 0.360828i | 0.742863 | − | 0.669444i | \(-0.233468\pi\) |
−0.951187 | + | 0.308616i | \(0.900134\pi\) | |||||||
\(360\) | −530712. | + | 919220.i | −0.215825 | + | 0.373821i | ||||
\(361\) | −2.36388e6 | + | 4.09436e6i | −0.954679 | + | 1.65355i | ||||
\(362\) | −1.14620e6 | − | 1.98527e6i | −0.459715 | − | 0.796249i | ||||
\(363\) | −324765. | −0.129361 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −4.82399e6 | −1.89528 | ||||||||
\(366\) | −1.33591e6 | − | 2.31386e6i | −0.521283 | − | 0.902888i | ||||
\(367\) | −418840. | + | 725452.i | −0.162324 | + | 0.281154i | −0.935702 | − | 0.352792i | \(-0.885232\pi\) |
0.773378 | + | 0.633946i | \(0.218566\pi\) | |||||||
\(368\) | 2.38560e6 | − | 4.13198e6i | 0.918286 | − | 1.59052i | ||||
\(369\) | −322461. | − | 558519.i | −0.123285 | − | 0.213536i | ||||
\(370\) | 2.54311e6 | 0.965742 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −2880.00 | −0.00107903 | ||||||||
\(373\) | 759965. | + | 1.31630e6i | 0.282827 | + | 0.489871i | 0.972080 | − | 0.234650i | \(-0.0753943\pi\) |
−0.689253 | + | 0.724521i | \(0.742061\pi\) | |||||||
\(374\) | −167832. | + | 290694.i | −0.0620434 | + | 0.107462i | ||||
\(375\) | −58266.0 | + | 100920.i | −0.0213962 | + | 0.0370593i | ||||
\(376\) | 1.16928e6 | + | 2.02525e6i | 0.426529 | + | 0.738770i | ||||
\(377\) | 2.40536e6 | 0.871620 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 2.64465e6 | 0.945737 | 0.472869 | − | 0.881133i | \(-0.343219\pi\) | ||||
0.472869 | + | 0.881133i | \(0.343219\pi\) | |||||||
\(380\) | −418704. | − | 725217.i | −0.148747 | − | 0.257637i | ||||
\(381\) | −334440. | + | 579267.i | −0.118034 | + | 0.204440i | ||||
\(382\) | −820224. | + | 1.42067e6i | −0.287590 | + | 0.498121i | ||||
\(383\) | −1.00668e6 | − | 1.74362e6i | −0.350667 | − | 0.607373i | 0.635700 | − | 0.771936i | \(-0.280712\pi\) |
−0.986366 | + | 0.164564i | \(0.947378\pi\) | |||||||
\(384\) | 1.91117e6 | 0.661410 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −921612. | −0.314833 | ||||||||
\(387\) | 466722. | + | 808386.i | 0.158409 | + | 0.274373i | ||||
\(388\) | 287324. | − | 497660.i | 0.0968930 | − | 0.167824i | ||||
\(389\) | 363117. | − | 628937.i | 0.121667 | − | 0.210733i | −0.798758 | − | 0.601652i | \(-0.794509\pi\) |
0.920425 | + | 0.390919i | \(0.127843\pi\) | |||||||
\(390\) | 930852. | + | 1.61228e6i | 0.309898 | + | 0.536760i | ||||
\(391\) | −529200. | −0.175056 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 1.39784e6 | 0.456538 | ||||||||
\(394\) | 463266. | + | 802400.i | 0.150345 | + | 0.260406i | ||||
\(395\) | 2.56526e6 | − | 4.44317e6i | 0.827255 | − | 1.43285i | ||||
\(396\) | −71928.0 | + | 124583.i | −0.0230494 | + | 0.0399228i | ||||
\(397\) | −2.28789e6 | − | 3.96274e6i | −0.728549 | − | 1.26188i | −0.957496 | − | 0.288446i | \(-0.906861\pi\) |
0.228947 | − | 0.973439i | \(-0.426472\pi\) | |||||||
\(398\) | 2.20114e6 | 0.696529 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −3.36142e6 | −1.05045 | ||||||||
\(401\) | 16935.0 | + | 29332.3i | 0.00525926 | + | 0.00910930i | 0.868643 | − | 0.495438i | \(-0.164993\pi\) |
−0.863384 | + | 0.504548i | \(0.831659\pi\) | |||||||
\(402\) | 1.60261e6 | − | 2.77581e6i | 0.494610 | − | 0.856690i | ||||
\(403\) | 17680.0 | − | 30622.7i | 0.00542275 | − | 0.00939248i | ||||
\(404\) | 5412.00 | + | 9373.86i | 0.00164970 | + | 0.00285736i | ||||
\(405\) | 511758. | 0.155034 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −2.41270e6 | −0.721966 | ||||||||
\(408\) | −95256.0 | − | 164988.i | −0.0283297 | − | 0.0490685i | ||||
\(409\) | 2.93089e6 | − | 5.07645e6i | 0.866346 | − | 1.50056i | 0.000641640 | − | 1.00000i | \(-0.499796\pi\) |
0.865704 | − | 0.500556i | \(-0.166871\pi\) | |||||||
\(410\) | 1.86311e6 | − | 3.22700e6i | 0.547367 | − | 0.948067i | ||||
\(411\) | −1.18911e6 | − | 2.05959e6i | −0.347229 | − | 0.601419i | ||||
\(412\) | 527072. | 0.152977 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −2.04120e6 | −0.585308 | ||||||||
\(415\) | −1.56733e6 | − | 2.71470e6i | −0.446726 | − | 0.773751i | ||||
\(416\) | 318240. | − | 551208.i | 0.0901616 | − | 0.156164i | ||||
\(417\) | 1.01075e6 | − | 1.75068e6i | 0.284646 | − | 0.493022i | ||||
\(418\) | 3.57509e6 | + | 6.19223e6i | 1.00080 | + | 1.73343i | ||||
\(419\) | 302748. | 0.0842454 | 0.0421227 | − | 0.999112i | \(-0.486588\pi\) | ||||
0.0421227 | + | 0.999112i | \(0.486588\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −5.36708e6 | −1.47582 | −0.737909 | − | 0.674900i | \(-0.764187\pi\) | ||||
−0.737909 | + | 0.674900i | \(0.764187\pi\) | |||||||
\(422\) | 1.56073e6 | + | 2.70327e6i | 0.426626 | + | 0.738938i | ||||
\(423\) | 563760. | − | 976461.i | 0.153195 | − | 0.265341i | ||||
\(424\) | 805896. | − | 1.39585e6i | 0.217703 | − | 0.377073i | ||||
\(425\) | 186417. | + | 322884.i | 0.0500626 | + | 0.0867109i | ||||
\(426\) | 1.73016e6 | 0.461915 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −515664. | −0.136068 | ||||||||
\(429\) | −883116. | − | 1.52960e6i | −0.231673 | − | 0.401269i | ||||
\(430\) | −2.69662e6 | + | 4.67068e6i | −0.703312 | + | 1.21817i | ||||
\(431\) | −588528. | + | 1.01936e6i | −0.152607 | + | 0.264323i | −0.932185 | − | 0.361982i | \(-0.882100\pi\) |
0.779578 | + | 0.626305i | \(0.215433\pi\) | |||||||
\(432\) | −414072. | − | 717194.i | −0.106750 | − | 0.184896i | ||||
\(433\) | −3.66249e6 | −0.938766 | −0.469383 | − | 0.882995i | \(-0.655524\pi\) | ||||
−0.469383 | + | 0.882995i | \(0.655524\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 3.82028e6 | 0.967994 | ||||||||
\(436\) | 201956. | + | 349798.i | 0.0508792 | + | 0.0881254i | ||||
\(437\) | −5.63640e6 | + | 9.76253e6i | −1.41188 | + | 2.44545i | ||||
\(438\) | 1.66984e6 | − | 2.89225e6i | 0.415901 | − | 0.720362i | ||||
\(439\) | 1.26837e6 | + | 2.19688e6i | 0.314113 | + | 0.544059i | 0.979248 | − | 0.202663i | \(-0.0649597\pi\) |
−0.665136 | + | 0.746722i | \(0.731626\pi\) | |||||||
\(440\) | 5.81818e6 | 1.43270 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −334152. | −0.0813558 | ||||||||
\(443\) | −3.00752e6 | − | 5.20917e6i | −0.728113 | − | 1.26113i | −0.957680 | − | 0.287836i | \(-0.907064\pi\) |
0.229566 | − | 0.973293i | \(-0.426269\pi\) | |||||||
\(444\) | −97812.0 | + | 169415.i | −0.0235470 | + | 0.0407845i | ||||
\(445\) | 310986. | − | 538644.i | 0.0744459 | − | 0.128944i | ||||
\(446\) | 914208. | + | 1.58345e6i | 0.217625 | + | 0.376937i | ||||
\(447\) | 738666. | 0.174856 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 5.65965e6 | 1.32487 | 0.662436 | − | 0.749119i | \(-0.269523\pi\) | ||||
0.662436 | + | 0.749119i | \(0.269523\pi\) | |||||||
\(450\) | 719037. | + | 1.24541e6i | 0.167386 | + | 0.289922i | ||||
\(451\) | −1.76756e6 | + | 3.06151e6i | −0.409198 | + | 0.708752i | ||||
\(452\) | −440292. | + | 762608.i | −0.101367 | + | 0.175572i | ||||
\(453\) | −1.29164e6 | − | 2.23719e6i | −0.295731 | − | 0.512222i | ||||
\(454\) | −1.73153e6 | −0.394267 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −4.05821e6 | −0.913949 | ||||||||
\(457\) | 3.23080e6 | + | 5.59590e6i | 0.723634 | + | 1.25337i | 0.959534 | + | 0.281593i | \(0.0908629\pi\) |
−0.235900 | + | 0.971777i | \(0.575804\pi\) | |||||||
\(458\) | 2.31657e6 | − | 4.01242e6i | 0.516038 | − | 0.893804i | ||||
\(459\) | −45927.0 | + | 79547.9i | −0.0101750 | + | 0.0176237i | ||||
\(460\) | −655200. | − | 1.13484e6i | −0.144371 | − | 0.250058i | ||||
\(461\) | −3.37353e6 | −0.739320 | −0.369660 | − | 0.929167i | \(-0.620526\pi\) | ||||
−0.369660 | + | 0.929167i | \(0.620526\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.54974e6 | −0.986358 | −0.493179 | − | 0.869928i | \(-0.664165\pi\) | ||||
−0.493179 | + | 0.869928i | \(0.664165\pi\) | |||||||
\(464\) | −3.09106e6 | − | 5.35387e6i | −0.666518 | − | 1.15444i | ||||
\(465\) | 28080.0 | − | 48636.0i | 0.00602233 | − | 0.0104310i | ||||
\(466\) | 756702. | − | 1.31065e6i | 0.161421 | − | 0.279589i | ||||
\(467\) | −1.00568e6 | − | 1.74189e6i | −0.213386 | − | 0.369596i | 0.739386 | − | 0.673282i | \(-0.235116\pi\) |
−0.952772 | + | 0.303686i | \(0.901783\pi\) | |||||||
\(468\) | −143208. | −0.0302240 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 6.51456e6 | 1.36032 | ||||||||
\(471\) | 584451. | + | 1.01230e6i | 0.121394 | + | 0.210260i | ||||
\(472\) | −2.30933e6 | + | 3.99987e6i | −0.477123 | + | 0.826402i | ||||
\(473\) | 2.55833e6 | − | 4.43115e6i | 0.525779 | − | 0.910676i | ||||
\(474\) | 1.77595e6 | + | 3.07604e6i | 0.363066 | + | 0.628848i | ||||
\(475\) | 7.94196e6 | 1.61508 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −777114. | −0.156383 | ||||||||
\(478\) | −4.35341e6 | − | 7.54032e6i | −0.871484 | − | 1.50946i | ||||
\(479\) | 3.80201e6 | − | 6.58527e6i | 0.757137 | − | 1.31140i | −0.187168 | − | 0.982328i | \(-0.559931\pi\) |
0.944305 | − | 0.329071i | \(-0.106736\pi\) | |||||||
\(480\) | 505440. | − | 875448.i | 0.100131 | − | 0.173431i | ||||
\(481\) | −1.20091e6 | − | 2.08004e6i | −0.236673 | − | 0.409930i | ||||
\(482\) | 878388. | 0.172214 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 144340. | 0.0280074 | ||||||||
\(485\) | 5.60282e6 | + | 9.70437e6i | 1.08156 | + | 1.87332i | ||||
\(486\) | −177147. | + | 306828.i | −0.0340207 | + | 0.0589256i | ||||
\(487\) | −336556. | + | 582932.i | −0.0643035 | + | 0.111377i | −0.896385 | − | 0.443277i | \(-0.853816\pi\) |
0.832081 | + | 0.554654i | \(0.187149\pi\) | |||||||
\(488\) | −4.15615e6 | − | 7.19867e6i | −0.790027 | − | 1.36837i | ||||
\(489\) | −4.99756e6 | −0.945117 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −2.47170e6 | −0.462692 | −0.231346 | − | 0.972872i | \(-0.574313\pi\) | ||||
−0.231346 | + | 0.972872i | \(0.574313\pi\) | |||||||
\(492\) | 143316. | + | 248231.i | 0.0266920 | + | 0.0462320i | ||||
\(493\) | −342846. | + | 593827.i | −0.0635304 | + | 0.110038i | ||||
\(494\) | −3.55898e6 | + | 6.16434e6i | −0.656158 | + | 1.13650i | ||||
\(495\) | −1.40260e6 | − | 2.42937e6i | −0.257288 | − | 0.445636i | ||||
\(496\) | −90880.0 | −0.0165869 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 2.17015e6 | 0.392118 | ||||||||
\(499\) | −3.04076e6 | − | 5.26675e6i | −0.546677 | − | 0.946873i | −0.998499 | − | 0.0547648i | \(-0.982559\pi\) |
0.451822 | − | 0.892108i | \(-0.350774\pi\) | |||||||
\(500\) | 25896.0 | − | 44853.2i | 0.00463242 | − | 0.00802358i | ||||
\(501\) | 195804. | − | 339142.i | 0.0348520 | − | 0.0603654i | ||||
\(502\) | 1.82358e6 | + | 3.15853e6i | 0.322972 | + | 0.559405i | ||||
\(503\) | −846216. | −0.149129 | −0.0745644 | − | 0.997216i | \(-0.523757\pi\) | ||||
−0.0745644 | + | 0.997216i | \(0.523757\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −211068. | −0.0368293 | ||||||||
\(506\) | 5.59440e6 | + | 9.68979e6i | 0.971353 | + | 1.68243i | ||||
\(507\) | −791680. | + | 1.37123e6i | −0.136782 | + | 0.236914i | ||||
\(508\) | 148640. | − | 257452.i | 0.0255550 | − | 0.0442626i | ||||
\(509\) | 3.83392e6 | + | 6.64055e6i | 0.655917 | + | 1.13608i | 0.981663 | + | 0.190625i | \(0.0610514\pi\) |
−0.325746 | + | 0.945457i | \(0.605615\pi\) | |||||||
\(510\) | −530712. | −0.0903511 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 4.47130e6 | 0.753804 | ||||||||
\(513\) | 978318. | + | 1.69450e6i | 0.164129 | + | 0.284281i | ||||
\(514\) | 286758. | − | 496679.i | 0.0478749 | − | 0.0829217i | ||||
\(515\) | −5.13895e6 | + | 8.90093e6i | −0.853801 | + | 1.47883i | ||||
\(516\) | −207432. | − | 359283.i | −0.0342966 | − | 0.0594035i | ||||
\(517\) | −6.18048e6 | −1.01694 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 164970. | 0.0268835 | ||||||||
\(520\) | 2.89598e6 | + | 5.01599e6i | 0.469665 | + | 0.813483i | ||||
\(521\) | 4.84469e6 | − | 8.39125e6i | 0.781937 | − | 1.35435i | −0.148875 | − | 0.988856i | \(-0.547565\pi\) |
0.930812 | − | 0.365499i | \(-0.119102\pi\) | |||||||
\(522\) | −1.32241e6 | + | 2.29047e6i | −0.212417 | + | 0.367916i | ||||
\(523\) | 3.75839e6 | + | 6.50972e6i | 0.600824 | + | 1.04066i | 0.992696 | + | 0.120639i | \(0.0384943\pi\) |
−0.391872 | + | 0.920020i | \(0.628172\pi\) | |||||||
\(524\) | −621264. | −0.0988435 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 1.32021e7 | 2.08055 | ||||||||
\(527\) | 5040.00 | + | 8729.54i | 0.000790504 | + | 0.00136919i | ||||
\(528\) | −2.26973e6 | + | 3.93128e6i | −0.354315 | + | 0.613691i | ||||
\(529\) | −5.60183e6 | + | 9.70265e6i | −0.870343 | + | 1.50748i | ||||
\(530\) | −2.24500e6 | − | 3.88845e6i | −0.347157 | − | 0.601294i | ||||
\(531\) | 2.22685e6 | 0.342732 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −3.51920e6 | −0.536570 | ||||||||
\(534\) | 215298. | + | 372907.i | 0.0326728 | + | 0.0565910i | ||||
\(535\) | 5.02772e6 | − | 8.70827e6i | 0.759429 | − | 1.31537i | ||||
\(536\) | 4.98590e6 | − | 8.63584e6i | 0.749604 | − | 1.29835i | ||||
\(537\) | −689958. | − | 1.19504e6i | −0.103249 | − | 0.178833i | ||||
\(538\) | −1.06215e7 | −1.58208 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −227448. | −0.0335659 | ||||||||
\(541\) | −3.67162e6 | − | 6.35944e6i | −0.539343 | − | 0.934169i | −0.998940 | − | 0.0460415i | \(-0.985339\pi\) |
0.459597 | − | 0.888128i | \(-0.347994\pi\) | |||||||
\(542\) | −670512. | + | 1.16136e6i | −0.0980411 | + | 0.169812i | ||||
\(543\) | −1.71930e6 | + | 2.97791e6i | −0.250237 | + | 0.433423i | ||||
\(544\) | 90720.0 | + | 157132.i | 0.0131433 | + | 0.0227649i | ||||
\(545\) | −7.87628e6 | −1.13587 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 2.18296e6 | 0.311945 | 0.155973 | − | 0.987761i | \(-0.450149\pi\) | ||||
0.155973 | + | 0.987761i | \(0.450149\pi\) | |||||||
\(548\) | 528492. | + | 915375.i | 0.0751774 | + | 0.130211i | ||||
\(549\) | −2.00386e6 | + | 3.47079e6i | −0.283750 | + | 0.491470i | ||||
\(550\) | 3.94139e6 | − | 6.82668e6i | 0.555575 | − | 0.962284i | ||||
\(551\) | 7.30316e6 | + | 1.26495e7i | 1.02478 | + | 1.77498i | ||||
\(552\) | −6.35040e6 | −0.887061 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 2.05667e6 | 0.284702 | ||||||||
\(555\) | −1.90733e6 | − | 3.30360e6i | −0.262842 | − | 0.455255i | ||||
\(556\) | −449224. | + | 778079.i | −0.0616277 | + | 0.106742i | ||||
\(557\) | −6.27328e6 | + | 1.08656e7i | −0.856755 | + | 1.48394i | 0.0182524 | + | 0.999833i | \(0.494190\pi\) |
−0.875007 | + | 0.484110i | \(0.839144\pi\) | |||||||
\(558\) | 19440.0 | + | 33671.1i | 0.00264308 | + | 0.00457795i | ||||
\(559\) | 5.09361e6 | 0.689439 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 503496. | 0.0675443 | ||||||||
\(562\) | 1.44113e6 | + | 2.49612e6i | 0.192470 | + | 0.333368i | ||||
\(563\) | −2.57986e6 | + | 4.46845e6i | −0.343025 | + | 0.594136i | −0.984993 | − | 0.172595i | \(-0.944785\pi\) |
0.641968 | + | 0.766731i | \(0.278118\pi\) | |||||||
\(564\) | −250560. | + | 433983.i | −0.0331676 | + | 0.0574480i | ||||
\(565\) | −8.58569e6 | − | 1.48709e7i | −1.13150 | − | 1.95981i | ||||
\(566\) | 179880. | 0.0236016 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 5.38272e6 | 0.700053 | ||||||||
\(569\) | −5.87260e6 | − | 1.01717e7i | −0.760414 | − | 1.31708i | −0.942637 | − | 0.333819i | \(-0.891663\pi\) |
0.182223 | − | 0.983257i | \(-0.441671\pi\) | |||||||
\(570\) | −5.65250e6 | + | 9.79042e6i | −0.728708 | + | 1.26216i | ||||
\(571\) | 3.77364e6 | − | 6.53614e6i | 0.484362 | − | 0.838940i | −0.515476 | − | 0.856904i | \(-0.672385\pi\) |
0.999839 | + | 0.0179636i | \(0.00571829\pi\) | |||||||
\(572\) | 392496. | + | 679823.i | 0.0501586 | + | 0.0868772i | ||||
\(573\) | 2.46067e6 | 0.313089 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 1.24278e7 | 1.56756 | ||||||||
\(576\) | −1.12234e6 | − | 1.94394e6i | −0.140951 | − | 0.244133i | ||||
\(577\) | −4.64242e6 | + | 8.04090e6i | −0.580503 | + | 1.00546i | 0.414916 | + | 0.909859i | \(0.363811\pi\) |
−0.995420 | + | 0.0956015i | \(0.969523\pi\) | |||||||
\(578\) | −4.21194e6 | + | 7.29530e6i | −0.524400 | + | 0.908288i | ||||
\(579\) | 691209. | + | 1.19721e6i | 0.0856866 | + | 0.148414i | ||||
\(580\) | −1.69790e6 | −0.209577 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −7.75775e6 | −0.949354 | ||||||||
\(583\) | 2.12987e6 | + | 3.68904e6i | 0.259526 | + | 0.449513i | ||||
\(584\) | 5.19506e6 | − | 8.99811e6i | 0.630317 | − | 1.09174i | ||||
\(585\) | 1.39628e6 | − | 2.41842e6i | 0.168687 | − | 0.292175i | ||||
\(586\) | −594198. | − | 1.02918e6i | −0.0714804 | − | 0.123808i | ||||
\(587\) | 1.47623e6 | 0.176831 | 0.0884155 | − | 0.996084i | \(-0.471820\pi\) | ||||
0.0884155 | + | 0.996084i | \(0.471820\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 214720. | 0.0255026 | ||||||||
\(590\) | 6.43313e6 | + | 1.11425e7i | 0.760838 | + | 1.31781i | ||||
\(591\) | 694899. | − | 1.20360e6i | 0.0818376 | − | 0.141747i | ||||
\(592\) | −3.08651e6 | + | 5.34600e6i | −0.361963 | + | 0.626938i | ||||
\(593\) | 6.20034e6 | + | 1.07393e7i | 0.724067 | + | 1.25412i | 0.959357 | + | 0.282196i | \(0.0910629\pi\) |
−0.235289 | + | 0.971925i | \(0.575604\pi\) | |||||||
\(594\) | 1.94206e6 | 0.225837 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −328296. | −0.0378573 | ||||||||
\(597\) | −1.65085e6 | − | 2.85936e6i | −0.189571 | − | 0.328347i | ||||
\(598\) | −5.56920e6 | + | 9.64614e6i | −0.636854 | + | 1.10306i | ||||
\(599\) | 1.84564e6 | − | 3.19674e6i | 0.210174 | − | 0.364032i | −0.741595 | − | 0.670848i | \(-0.765930\pi\) |
0.951769 | + | 0.306816i | \(0.0992636\pi\) | |||||||
\(600\) | 2.23700e6 | + | 3.87460e6i | 0.253681 | + | 0.439389i | ||||
\(601\) | 9.12223e6 | 1.03018 | 0.515092 | − | 0.857135i | \(-0.327758\pi\) | ||||
0.515092 | + | 0.857135i | \(0.327758\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −4.80784e6 | −0.538464 | ||||||||
\(604\) | 574064. | + | 994308.i | 0.0640277 | + | 0.110899i | ||||
\(605\) | −1.40732e6 | + | 2.43754e6i | −0.156316 | + | 0.270747i | ||||
\(606\) | 73062.0 | − | 126547.i | 0.00808184 | − | 0.0139981i | ||||
\(607\) | 2.83957e6 | + | 4.91828e6i | 0.312810 | + | 0.541803i | 0.978970 | − | 0.204007i | \(-0.0653964\pi\) |
−0.666160 | + | 0.745809i | \(0.732063\pi\) | |||||||
\(608\) | 3.86496e6 | 0.424020 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −2.31557e7 | −2.51961 | ||||||||
\(611\) | −3.07632e6 | − | 5.32834e6i | −0.333372 | − | 0.577416i | ||||
\(612\) | 20412.0 | − | 35354.6i | 0.00220296 | − | 0.00381564i | ||||
\(613\) | 7.00529e6 | − | 1.21335e7i | 0.752966 | − | 1.30417i | −0.193414 | − | 0.981117i | \(-0.561956\pi\) |
0.946379 | − | 0.323057i | \(-0.104711\pi\) | |||||||
\(614\) | −3.13691e6 | − | 5.43328e6i | −0.335800 | − | 0.581623i | ||||
\(615\) | −5.58932e6 | −0.595897 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −253686. | −0.0268277 | −0.0134139 | − | 0.999910i | \(-0.504270\pi\) | ||||
−0.0134139 | + | 0.999910i | \(0.504270\pi\) | |||||||
\(618\) | −3.55774e6 | − | 6.16218e6i | −0.374716 | − | 0.649028i | ||||
\(619\) | −2.15017e6 | + | 3.72420e6i | −0.225552 | + | 0.390667i | −0.956485 | − | 0.291782i | \(-0.905752\pi\) |
0.730933 | + | 0.682449i | \(0.239085\pi\) | |||||||
\(620\) | −12480.0 | + | 21616.0i | −0.00130387 | + | 0.00225837i | ||||
\(621\) | 1.53090e6 | + | 2.65160e6i | 0.159301 | + | 0.275917i | ||||
\(622\) | −1.10231e7 | −1.14242 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −4.51901e6 | −0.464603 | ||||||||
\(625\) | 5.12841e6 | + | 8.88267e6i | 0.525149 | + | 0.909585i | ||||
\(626\) | −1.09648e6 | + | 1.89916e6i | −0.111832 | + | 0.193699i | ||||
\(627\) | 5.36263e6 | − | 9.28835e6i | 0.544765 | − | 0.943561i | ||||
\(628\) | −259756. | − | 449911.i | −0.0262825 | − | 0.0455226i | ||||
\(629\) | 684684. | 0.0690023 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 1.04150e7 | 1.04132 | 0.520662 | − | 0.853763i | \(-0.325685\pi\) | ||||
0.520662 | + | 0.853763i | \(0.325685\pi\) | |||||||
\(632\) | 5.52518e6 | + | 9.56990e6i | 0.550242 | + | 0.953048i | ||||
\(633\) | 2.34110e6 | − | 4.05490e6i | 0.232226 | − | 0.402227i | ||||
\(634\) | −85014.0 | + | 147249.i | −0.00839977 | + | 0.0145488i | ||||
\(635\) | 2.89848e6 | + | 5.02031e6i | 0.285257 | + | 0.494079i | ||||
\(636\) | 345384. | 0.0338579 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 1.44975e7 | 1.41007 | ||||||||
\(639\) | −1.29762e6 | − | 2.24754e6i | −0.125717 | − | 0.217749i | ||||
\(640\) | 8.28173e6 | − | 1.43444e7i | 0.799229 | − | 1.38430i | ||||
\(641\) | −2.26357e6 | + | 3.92062e6i | −0.217595 | + | 0.376885i | −0.954072 | − | 0.299577i | \(-0.903154\pi\) |
0.736477 | + | 0.676462i | \(0.236488\pi\) | |||||||
\(642\) | 3.48073e6 | + | 6.02880e6i | 0.333298 | + | 0.577289i | ||||
\(643\) | 1.49687e7 | 1.42776 | 0.713882 | − | 0.700266i | \(-0.246935\pi\) | ||||
0.713882 | + | 0.700266i | \(0.246935\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 8.08985e6 | 0.765669 | ||||||||
\(646\) | −1.01455e6 | − | 1.75726e6i | −0.0956518 | − | 0.165674i | ||||
\(647\) | 8.65098e6 | − | 1.49839e7i | 0.812465 | − | 1.40723i | −0.0986691 | − | 0.995120i | \(-0.531459\pi\) |
0.911134 | − | 0.412110i | \(-0.135208\pi\) | |||||||
\(648\) | −551124. | + | 954575.i | −0.0515599 | + | 0.0893043i | ||||
\(649\) | −6.10322e6 | − | 1.05711e7i | −0.568784 | − | 0.985163i | ||||
\(650\) | 7.84727e6 | 0.728509 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 2.22114e6 | 0.204624 | ||||||||
\(653\) | −2.03735e6 | − | 3.52880e6i | −0.186975 | − | 0.323850i | 0.757265 | − | 0.653107i | \(-0.226535\pi\) |
−0.944240 | + | 0.329258i | \(0.893202\pi\) | |||||||
\(654\) | 2.72641e6 | − | 4.72227e6i | 0.249256 | − | 0.431725i | ||||
\(655\) | 6.05732e6 | − | 1.04916e7i | 0.551668 | − | 0.955516i | ||||
\(656\) | 4.52242e6 | + | 7.83305e6i | 0.410309 | + | 0.710676i | ||||
\(657\) | −5.00953e6 | −0.452776 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −3.79475e6 | −0.340384 | −0.170192 | − | 0.985411i | \(-0.554439\pi\) | ||||
−0.170192 | + | 0.985411i | \(0.554439\pi\) | |||||||
\(660\) | 623376. | + | 1.07972e6i | 0.0557045 | + | 0.0964830i | ||||
\(661\) | −8.21307e6 | + | 1.42255e7i | −0.731142 | + | 1.26638i | 0.225253 | + | 0.974300i | \(0.427679\pi\) |
−0.956395 | + | 0.292075i | \(0.905654\pi\) | |||||||
\(662\) | 5.80175e6 | − | 1.00489e7i | 0.514534 | − | 0.891199i | ||||
\(663\) | 250614. | + | 434076.i | 0.0221422 | + | 0.0383515i | ||||
\(664\) | 6.75158e6 | 0.594272 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 2.64092e6 | 0.230712 | ||||||||
\(667\) | 1.14282e7 | + | 1.97942e7i | 0.994634 | + | 1.72276i | ||||
\(668\) | −87024.0 | + | 150730.i | −0.00754567 | + | 0.0130695i | ||||
\(669\) | 1.37131e6 | − | 2.37518e6i | 0.118460 | − | 0.205178i | ||||
\(670\) | −1.38893e7 | − | 2.40570e7i | −1.19535 | − | 2.07040i | ||||
\(671\) | 2.19682e7 | 1.88360 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 5.50675e6 | 0.468660 | 0.234330 | − | 0.972157i | \(-0.424710\pi\) | ||||
0.234330 | + | 0.972157i | \(0.424710\pi\) | |||||||
\(674\) | −5.66452e6 | − | 9.81124e6i | −0.480301 | − | 0.831906i | ||||
\(675\) | 1.07856e6 | − | 1.86811e6i | 0.0911136 | − | 0.157813i | ||||
\(676\) | 351858. | − | 609436.i | 0.0296142 | − | 0.0512934i | ||||
\(677\) | −9.19787e6 | − | 1.59312e7i | −0.771286 | − | 1.33591i | −0.936858 | − | 0.349709i | \(-0.886280\pi\) |
0.165572 | − | 0.986198i | \(-0.447053\pi\) | |||||||
\(678\) | 1.18879e7 | 0.993185 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −1.65110e6 | −0.136931 | ||||||||
\(681\) | 1.29865e6 | + | 2.24932e6i | 0.107306 | + | 0.185859i | ||||
\(682\) | 106560. | − | 184567.i | 0.00877270 | − | 0.0151948i | ||||
\(683\) | −879174. | + | 1.52277e6i | −0.0721146 | + | 0.124906i | −0.899828 | − | 0.436245i | \(-0.856308\pi\) |
0.827713 | + | 0.561151i | \(0.189641\pi\) | |||||||
\(684\) | −434808. | − | 753110.i | −0.0355351 | − | 0.0615486i | ||||
\(685\) | −2.06112e7 | −1.67833 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −6.94971e6 | −0.561791 | ||||||||
\(688\) | −6.54563e6 | − | 1.13374e7i | −0.527206 | − | 0.913148i | ||||
\(689\) | −2.12027e6 | + | 3.67242e6i | −0.170155 | + | 0.294717i | ||||
\(690\) | −8.84520e6 | + | 1.53203e7i | −0.707270 | + | 1.22503i | ||||
\(691\) | 2.68157e6 | + | 4.64462e6i | 0.213646 | + | 0.370045i | 0.952853 | − | 0.303433i | \(-0.0981329\pi\) |
−0.739207 | + | 0.673478i | \(0.764800\pi\) | |||||||
\(692\) | −73320.0 | −0.00582046 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −1.75162e7 | −1.38052 | ||||||||
\(695\) | −8.75987e6 | − | 1.51725e7i | −0.687916 | − | 1.19151i | ||||
\(696\) | −4.11415e6 | + | 7.12592e6i | −0.321927 | + | 0.557594i | ||||
\(697\) | 501606. | − | 868807.i | 0.0391094 | − | 0.0677394i | ||||
\(698\) | −2.34205e6 | − | 4.05654e6i | −0.181952 | − | 0.315150i | ||||
\(699\) | −2.27011e6 | −0.175733 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −2.12606e7 | −1.63411 | −0.817054 | − | 0.576561i | \(-0.804394\pi\) | ||||
−0.817054 | + | 0.576561i | \(0.804394\pi\) | |||||||
\(702\) | 966654. | + | 1.67429e6i | 0.0740335 | + | 0.128230i | ||||
\(703\) | 7.29243e6 | − | 1.26309e7i | 0.556524 | − | 0.963928i | ||||
\(704\) | −6.15206e6 | + | 1.06557e7i | −0.467831 | + | 0.810307i | ||||
\(705\) | −4.88592e6 | − | 8.46266e6i | −0.370232 | − | 0.641260i | ||||
\(706\) | −8.00622e6 | −0.604527 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −989712. | −0.0742037 | ||||||||
\(709\) | −1.03864e6 | − | 1.79898e6i | −0.0775980 | − | 0.134404i | 0.824615 | − | 0.565694i | \(-0.191392\pi\) |
−0.902213 | + | 0.431290i | \(0.858058\pi\) | |||||||
\(710\) | 7.49736e6 | − | 1.29858e7i | 0.558165 | − | 0.966770i | ||||
\(711\) | 2.66393e6 | − | 4.61406e6i | 0.197628 | − | 0.342302i | ||||
\(712\) | 669816. | + | 1.16016e6i | 0.0495171 | + | 0.0857662i | ||||
\(713\) | 336000. | 0.0247523 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.53073e7 | −1.11979 | ||||||||
\(716\) | 306648. | + | 531130.i | 0.0223541 | + | 0.0387185i | ||||
\(717\) | −6.53011e6 | + | 1.13105e7i | −0.474376 | + | 0.821643i | ||||
\(718\) | 3.05230e6 | − | 5.28673e6i | 0.220961 | − | 0.382716i | ||||
\(719\) | −2.11810e6 | − | 3.66865e6i | −0.152800 | − | 0.264657i | 0.779456 | − | 0.626457i | \(-0.215496\pi\) |
−0.932256 | + | 0.361800i | \(0.882162\pi\) | |||||||
\(720\) | −7.17725e6 | −0.515973 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −2.83665e7 | −2.02518 | ||||||||
\(723\) | −658791. | − | 1.14106e6i | −0.0468708 | − | 0.0811825i | ||||
\(724\) | 764132. | − | 1.32352e6i | 0.0541779 | − | 0.0938388i | ||||
\(725\) | 8.05144e6 | − | 1.39455e7i | 0.568890 | − | 0.985347i | ||||
\(726\) | −974295. | − | 1.68753e6i | −0.0686039 | − | 0.118825i | ||||
\(727\) | 2.14524e7 | 1.50536 | 0.752678 | − | 0.658389i | \(-0.228762\pi\) | ||||
0.752678 | + | 0.658389i | \(0.228762\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 531441. | 0.0370370 | ||||||||
\(730\) | −1.44720e7 | − | 2.50662e7i | −1.00513 | − | 1.74093i | ||||
\(731\) | −726012. | + | 1.25749e6i | −0.0502517 | + | 0.0870384i | ||||
\(732\) | 890604. | − | 1.54257e6i | 0.0614337 | − | 0.106406i | ||||
\(733\) | 7.44459e6 | + | 1.28944e7i | 0.511777 | + | 0.886424i | 0.999907 | + | 0.0136528i | \(0.00434594\pi\) |
−0.488130 | + | 0.872771i | \(0.662321\pi\) | |||||||
\(734\) | −5.02608e6 | −0.344341 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 6.04800e6 | 0.411545 | ||||||||
\(737\) | 1.31770e7 | + | 2.28233e7i | 0.893612 | + | 1.54778i | ||||
\(738\) | 1.93477e6 | − | 3.35111e6i | 0.130764 | − | 0.226490i | ||||
\(739\) | −3.49662e6 | + | 6.05632e6i | −0.235525 | + | 0.407941i | −0.959425 | − | 0.281963i | \(-0.909014\pi\) |
0.723900 | + | 0.689905i | \(0.242348\pi\) | |||||||
\(740\) | 847704. | + | 1.46827e6i | 0.0569069 | + | 0.0985656i | ||||
\(741\) | 1.06770e7 | 0.714335 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 1.90428e6 | 0.126549 | 0.0632745 | − | 0.997996i | \(-0.479846\pi\) | ||||
0.0632745 | + | 0.997996i | \(0.479846\pi\) | |||||||
\(744\) | 60480.0 | + | 104754.i | 0.00400571 | + | 0.00693809i | ||||
\(745\) | 3.20089e6 | − | 5.54410e6i | 0.211290 | − | 0.365966i | ||||
\(746\) | −4.55979e6 | + | 7.89779e6i | −0.299984 | + | 0.519587i | ||||
\(747\) | −1.62761e6 | − | 2.81911e6i | −0.106721 | − | 0.184846i | ||||
\(748\) | −223776. | −0.0146238 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −699192. | −0.0453882 | ||||||||
\(751\) | −9.76806e6 | − | 1.69188e7i | −0.631988 | − | 1.09463i | −0.987145 | − | 0.159828i | \(-0.948906\pi\) |
0.355157 | − | 0.934807i | \(-0.384427\pi\) | |||||||
\(752\) | −7.90656e6 | + | 1.36946e7i | −0.509851 | + | 0.883087i | ||||
\(753\) | 2.73537e6 | − | 4.73780e6i | 0.175804 | − | 0.304501i | ||||
\(754\) | 7.21609e6 | + | 1.24986e7i | 0.462247 | + | 0.800635i | ||||
\(755\) | −2.23885e7 | −1.42941 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 1.25183e6 | 0.0793973 | 0.0396986 | − | 0.999212i | \(-0.487360\pi\) | ||||
0.0396986 | + | 0.999212i | \(0.487360\pi\) | |||||||
\(758\) | 7.93396e6 | + | 1.37420e7i | 0.501553 | + | 0.868715i | ||||
\(759\) | 8.39160e6 | − | 1.45347e7i | 0.528738 | − | 0.915801i | ||||
\(760\) | −1.75856e7 | + | 3.04591e7i | −1.10439 | + | 1.91286i | ||||
\(761\) | −1.02236e7 | − | 1.77078e7i | −0.639944 | − | 1.10841i | −0.985445 | − | 0.169997i | \(-0.945624\pi\) |
0.345501 | − | 0.938418i | \(-0.387709\pi\) | |||||||
\(762\) | −4.01328e6 | −0.250387 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −1.09363e6 | −0.0677857 | ||||||||
\(765\) | 398034. | + | 689415.i | 0.0245905 | + | 0.0425919i | ||||
\(766\) | 6.04008e6 | − | 1.04617e7i | 0.371938 | − | 0.644216i | ||||
\(767\) | 6.07573e6 | − | 1.05235e7i | 0.372915 | − | 0.645908i | ||||
\(768\) | 1.74298e6 | + | 3.01892e6i | 0.106632 | + | 0.184692i | ||||
\(769\) | 2.21064e6 |