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 | 2.7 | ||
Character | \(\chi\) | \(=\) | 69.2 |
Dual form | 69.7.h.a.35.7 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −6.67610 | + | 10.3882i | −0.834512 | + | 1.29853i | 0.117688 | + | 0.993051i | \(0.462452\pi\) |
−0.952200 | + | 0.305476i | \(0.901185\pi\) | |||||||
\(3\) | −9.18523 | − | 25.3896i | −0.340194 | − | 0.940355i | ||||
\(4\) | −36.7581 | − | 80.4889i | −0.574345 | − | 1.25764i | ||||
\(5\) | −23.3451 | + | 79.5062i | −0.186761 | + | 0.636050i | 0.811875 | + | 0.583832i | \(0.198447\pi\) |
−0.998636 | + | 0.0522181i | \(0.983371\pi\) | |||||||
\(6\) | 325.074 | + | 74.0853i | 1.50497 | + | 0.342987i | ||||
\(7\) | −342.298 | + | 395.033i | −0.997954 | + | 1.15170i | −0.00953478 | + | 0.999955i | \(0.503035\pi\) |
−0.988420 | + | 0.151746i | \(0.951510\pi\) | |||||||
\(8\) | 299.277 | + | 43.0296i | 0.584526 | + | 0.0840421i | ||||
\(9\) | −560.263 | + | 466.419i | −0.768536 | + | 0.639806i | ||||
\(10\) | −670.073 | − | 773.306i | −0.670073 | − | 0.773306i | ||||
\(11\) | 614.241 | + | 955.778i | 0.461488 | + | 0.718090i | 0.991529 | − | 0.129882i | \(-0.0414598\pi\) |
−0.530041 | + | 0.847972i | \(0.677823\pi\) | |||||||
\(12\) | −1705.95 | + | 1672.58i | −0.987240 | + | 0.967929i | ||||
\(13\) | 29.3919 | + | 33.9200i | 0.0133782 | + | 0.0154392i | 0.762399 | − | 0.647107i | \(-0.224021\pi\) |
−0.749021 | + | 0.662546i | \(0.769476\pi\) | |||||||
\(14\) | −1818.47 | − | 6193.15i | −0.662708 | − | 2.25698i | ||||
\(15\) | 2233.06 | − | 137.560i | 0.661648 | − | 0.0407584i | ||||
\(16\) | 1263.51 | − | 1458.16i | 0.308473 | − | 0.355997i | ||||
\(17\) | −4299.54 | − | 1963.53i | −0.875134 | − | 0.399661i | −0.0733729 | − | 0.997305i | \(-0.523376\pi\) |
−0.801762 | + | 0.597644i | \(0.796104\pi\) | |||||||
\(18\) | −1104.88 | − | 8933.99i | −0.189452 | − | 1.53189i | ||||
\(19\) | −4401.47 | − | 9637.88i | −0.641708 | − | 1.40514i | −0.898628 | − | 0.438711i | \(-0.855435\pi\) |
0.256920 | − | 0.966433i | \(-0.417292\pi\) | |||||||
\(20\) | 7257.49 | − | 1043.47i | 0.907187 | − | 0.130434i | ||||
\(21\) | 13173.8 | + | 5062.34i | 1.42251 | + | 0.546630i | ||||
\(22\) | −14029.6 | −1.31758 | ||||||||
\(23\) | 10639.3 | + | 5902.67i | 0.874438 | + | 0.485138i | ||||
\(24\) | −1656.43 | − | 7993.76i | −0.119823 | − | 0.578252i | ||||
\(25\) | 7368.34 | + | 4735.34i | 0.471574 | + | 0.303062i | ||||
\(26\) | −548.591 | + | 78.8755i | −0.0312125 | + | 0.00448768i | ||||
\(27\) | 16988.3 | + | 9940.69i | 0.863096 | + | 0.505039i | ||||
\(28\) | 44378.0 | + | 13030.6i | 2.02159 | + | 0.593594i | ||||
\(29\) | −13247.7 | − | 6050.00i | −0.543182 | − | 0.248063i | 0.124876 | − | 0.992172i | \(-0.460147\pi\) |
−0.668058 | + | 0.744110i | \(0.732874\pi\) | |||||||
\(30\) | −13479.1 | + | 24115.9i | −0.499227 | + | 0.893181i | ||||
\(31\) | 3294.14 | − | 22911.2i | 0.110575 | − | 0.769065i | −0.856788 | − | 0.515669i | \(-0.827543\pi\) |
0.967363 | − | 0.253396i | \(-0.0815476\pi\) | |||||||
\(32\) | 12164.1 | + | 41427.3i | 0.371220 | + | 1.26426i | ||||
\(33\) | 18624.9 | − | 24374.4i | 0.518264 | − | 0.678253i | ||||
\(34\) | 49101.7 | − | 31555.7i | 1.24928 | − | 0.802863i | ||||
\(35\) | −23416.6 | − | 36437.0i | −0.546160 | − | 0.849842i | ||||
\(36\) | 58135.7 | + | 27950.3i | 1.24605 | + | 0.599072i | ||||
\(37\) | −3170.65 | + | 930.986i | −0.0625955 | + | 0.0183797i | −0.312880 | − | 0.949793i | \(-0.601294\pi\) |
0.250285 | + | 0.968172i | \(0.419476\pi\) | |||||||
\(38\) | 129505. | + | 18620.0i | 2.36013 | + | 0.339335i | ||||
\(39\) | 591.244 | − | 1057.81i | 0.00996720 | − | 0.0178326i | ||||
\(40\) | −10407.8 | + | 22789.9i | −0.162622 | + | 0.356092i | ||||
\(41\) | 1713.22 | − | 5834.68i | 0.0248577 | − | 0.0846574i | −0.946130 | − | 0.323787i | \(-0.895044\pi\) |
0.970988 | + | 0.239130i | \(0.0768621\pi\) | |||||||
\(42\) | −140538. | + | 103056.i | −1.89691 | + | 1.39099i | ||||
\(43\) | −12423.4 | − | 86406.6i | −0.156255 | − | 1.08678i | −0.905457 | − | 0.424438i | \(-0.860472\pi\) |
0.749201 | − | 0.662342i | \(-0.230437\pi\) | |||||||
\(44\) | 54351.2 | − | 84572.2i | 0.638045 | − | 0.992817i | ||||
\(45\) | −24003.8 | − | 55433.0i | −0.263416 | − | 0.608318i | ||||
\(46\) | −132347. | + | 71116.3i | −1.35969 | + | 0.730627i | ||||
\(47\) | − | 151215.i | − | 1.45646i | −0.685330 | − | 0.728232i | \(-0.740342\pi\) | ||
0.685330 | − | 0.728232i | \(-0.259658\pi\) | |||||||
\(48\) | −48627.8 | − | 18686.3i | −0.439704 | − | 0.168966i | ||||
\(49\) | −22140.0 | − | 153987.i | −0.188187 | − | 1.30887i | ||||
\(50\) | −98383.5 | + | 44930.2i | −0.787068 | + | 0.359442i | ||||
\(51\) | −10361.0 | + | 127199.i | −0.0781076 | + | 0.958899i | ||||
\(52\) | 1649.80 | − | 3612.55i | 0.0117333 | − | 0.0256924i | ||||
\(53\) | 160700. | + | 139247.i | 1.07941 | + | 0.935317i | 0.998115 | − | 0.0613723i | \(-0.0195477\pi\) |
0.0812990 | + | 0.996690i | \(0.474093\pi\) | |||||||
\(54\) | −216682. | + | 110113.i | −1.37607 | + | 0.699292i | ||||
\(55\) | −90329.9 | + | 26523.2i | −0.542929 | + | 0.159418i | ||||
\(56\) | −119440. | + | 103495.i | −0.680121 | + | 0.589328i | ||||
\(57\) | −204273. | + | 200278.i | −1.10303 | + | 1.08145i | ||||
\(58\) | 151291. | − | 97229.1i | 0.775408 | − | 0.498324i | ||||
\(59\) | −95631.0 | + | 82864.7i | −0.465632 | + | 0.403472i | −0.855829 | − | 0.517259i | \(-0.826952\pi\) |
0.390197 | + | 0.920731i | \(0.372407\pi\) | |||||||
\(60\) | −93155.1 | − | 174680.i | −0.431273 | − | 0.808705i | ||||
\(61\) | 56273.0 | − | 391387.i | 0.247919 | − | 1.72432i | −0.362281 | − | 0.932069i | \(-0.618002\pi\) |
0.610200 | − | 0.792247i | \(-0.291089\pi\) | |||||||
\(62\) | 216015. | + | 187178.i | 0.906376 | + | 0.785379i | ||||
\(63\) | 7526.18 | − | 380977.i | 0.0300991 | − | 1.52362i | ||||
\(64\) | −393083. | − | 115419.i | −1.49949 | − | 0.440290i | ||||
\(65\) | −3383.01 | + | 1544.97i | −0.0123187 | + | 0.00562574i | ||||
\(66\) | 128865. | + | 356205.i | 0.448231 | + | 1.23899i | ||||
\(67\) | 39446.9 | + | 25351.0i | 0.131156 | + | 0.0842889i | 0.604574 | − | 0.796549i | \(-0.293343\pi\) |
−0.473418 | + | 0.880838i | \(0.656980\pi\) | |||||||
\(68\) | 418241.i | 1.33015i | ||||||||
\(69\) | 52142.2 | − | 324344.i | 0.158724 | − | 0.987323i | ||||
\(70\) | 534846. | 1.55932 | ||||||||
\(71\) | −158806. | + | 247107.i | −0.443703 | + | 0.690416i | −0.989015 | − | 0.147818i | \(-0.952775\pi\) |
0.545311 | + | 0.838234i | \(0.316411\pi\) | |||||||
\(72\) | −187744. | + | 115481.i | −0.503000 | + | 0.309394i | ||||
\(73\) | 158348. | + | 346734.i | 0.407046 | + | 0.891307i | 0.996507 | + | 0.0835101i | \(0.0266131\pi\) |
−0.589461 | + | 0.807797i | \(0.700660\pi\) | |||||||
\(74\) | 11496.3 | − | 39152.7i | 0.0283702 | − | 0.0966199i | ||||
\(75\) | 52548.6 | − | 230574.i | 0.124560 | − | 0.546547i | ||||
\(76\) | −613953. | + | 708540.i | −1.39860 | + | 1.61407i | ||||
\(77\) | −587818. | − | 84515.4i | −1.28757 | − | 0.185125i | ||||
\(78\) | 7041.55 | + | 13204.0i | 0.0148383 | + | 0.0278242i | ||||
\(79\) | 255238. | + | 294561.i | 0.517684 | + | 0.597439i | 0.953049 | − | 0.302815i | \(-0.0979264\pi\) |
−0.435366 | + | 0.900254i | \(0.643381\pi\) | |||||||
\(80\) | 86436.4 | + | 134498.i | 0.168821 | + | 0.262691i | ||||
\(81\) | 96348.3 | − | 522634.i | 0.181296 | − | 0.983429i | ||||
\(82\) | 49174.2 | + | 56750.1i | 0.0891859 | + | 0.102926i | ||||
\(83\) | 182604. | + | 621890.i | 0.319356 | + | 1.08763i | 0.950180 | + | 0.311701i | \(0.100899\pi\) |
−0.630825 | + | 0.775925i | \(0.717283\pi\) | |||||||
\(84\) | −76781.8 | − | 1.24643e6i | −0.129545 | − | 2.10295i | ||||
\(85\) | 256486. | − | 296001.i | 0.417645 | − | 0.481988i | ||||
\(86\) | 980550. | + | 447802.i | 1.54161 | + | 0.704030i | ||||
\(87\) | −31924.3 | + | 391923.i | −0.0484801 | + | 0.595173i | ||||
\(88\) | 142702. | + | 312473.i | 0.209402 | + | 0.458526i | ||||
\(89\) | −508647. | + | 73132.4i | −0.721517 | + | 0.103739i | −0.493284 | − | 0.869868i | \(-0.664204\pi\) |
−0.228233 | + | 0.973607i | \(0.573295\pi\) | |||||||
\(90\) | 736101. | + | 120720.i | 1.00974 | + | 0.165597i | ||||
\(91\) | −23460.3 | −0.0311322 | ||||||||
\(92\) | 84020.5 | − | 1.07332e6i | 0.107900 | − | 1.37836i | ||||
\(93\) | −611964. | + | 126808.i | −0.760812 | + | 0.157652i | ||||
\(94\) | 1.57085e6 | + | 1.00952e6i | 1.89126 | + | 1.21544i | ||||
\(95\) | 869025. | − | 124947.i | 1.01359 | − | 0.145732i | ||||
\(96\) | 940091. | − | 689362.i | 1.06257 | − | 0.779172i | ||||
\(97\) | −957606. | − | 281178.i | −1.04923 | − | 0.308082i | −0.288725 | − | 0.957412i | \(-0.593231\pi\) |
−0.760507 | + | 0.649330i | \(0.775050\pi\) | |||||||
\(98\) | 1.74746e6 | + | 798037.i | 1.85664 | + | 0.847901i | ||||
\(99\) | −789929. | − | 248993.i | −0.814109 | − | 0.256615i | ||||
\(100\) | 110297. | − | 767132.i | 0.110297 | − | 0.767132i | ||||
\(101\) | −524579. | − | 1.78655e6i | −0.509152 | − | 1.73401i | −0.665584 | − | 0.746323i | \(-0.731818\pi\) |
0.156433 | − | 0.987689i | \(-0.450001\pi\) | |||||||
\(102\) | −1.25220e6 | − | 956825.i | −1.17997 | − | 0.901638i | ||||
\(103\) | −381167. | + | 244961.i | −0.348822 | + | 0.224174i | −0.703305 | − | 0.710888i | \(-0.748293\pi\) |
0.354483 | + | 0.935062i | \(0.384657\pi\) | |||||||
\(104\) | 7336.75 | + | 11416.2i | 0.00652234 | + | 0.0101490i | ||||
\(105\) | −710033. | + | 929220.i | −0.613353 | + | 0.802695i | ||||
\(106\) | −2.51938e6 | + | 739756.i | −2.11532 | + | 0.621113i | ||||
\(107\) | −1.22148e6 | − | 175623.i | −0.997095 | − | 0.143361i | −0.375603 | − | 0.926781i | \(-0.622564\pi\) |
−0.621492 | + | 0.783420i | \(0.713473\pi\) | |||||||
\(108\) | 175657. | − | 1.73277e6i | 0.139442 | − | 1.37553i | ||||
\(109\) | −411489. | + | 901036.i | −0.317745 | + | 0.695765i | −0.999354 | − | 0.0359523i | \(-0.988554\pi\) |
0.681608 | + | 0.731717i | \(0.261281\pi\) | |||||||
\(110\) | 327522. | − | 1.11544e6i | 0.246072 | − | 0.838045i | ||||
\(111\) | 52760.5 | + | 71950.2i | 0.0385780 | + | 0.0526093i | ||||
\(112\) | 143527. | + | 998254.i | 0.102160 | + | 0.710538i | ||||
\(113\) | 690644. | − | 1.07466e6i | 0.478651 | − | 0.744795i | −0.515014 | − | 0.857182i | \(-0.672213\pi\) |
0.993665 | + | 0.112387i | \(0.0358495\pi\) | |||||||
\(114\) | −716779. | − | 3.45911e6i | −0.483805 | − | 2.33480i | ||||
\(115\) | −717675. | + | 708091.i | −0.471883 | + | 0.465581i | ||||
\(116\) | 1.28868e6i | 0.825600i | ||||||||
\(117\) | −32288.1 | − | 5295.22i | −0.0201597 | − | 0.00330618i | ||||
\(118\) | −222374. | − | 1.54665e6i | −0.135344 | − | 0.941337i | ||||
\(119\) | 2.24738e6 | − | 1.02635e6i | 1.33363 | − | 0.609050i | ||||
\(120\) | 674223. | + | 54919.2i | 0.390176 | + | 0.0317819i | ||||
\(121\) | 199714. | − | 437312.i | 0.112733 | − | 0.246851i | ||||
\(122\) | 3.69013e6 | + | 3.19751e6i | 2.03218 | + | 1.76089i | ||||
\(123\) | −163876. | + | 10095.0i | −0.0880645 | + | 0.00542490i | ||||
\(124\) | −1.96519e6 | + | 577031.i | −1.03072 | + | 0.302645i | ||||
\(125\) | −1.52700e6 | + | 1.32315e6i | −0.781822 | + | 0.677453i | ||||
\(126\) | 3.90742e6 | + | 2.62162e6i | 1.95334 | + | 1.31056i | ||||
\(127\) | 2.90716e6 | − | 1.86832e6i | 1.41925 | − | 0.912095i | 0.419257 | − | 0.907868i | \(-0.362291\pi\) |
0.999991 | − | 0.00422722i | \(-0.00134557\pi\) | |||||||
\(128\) | 1.73491e6 | − | 1.50331e6i | 0.827272 | − | 0.716835i | ||||
\(129\) | −2.07972e6 | + | 1.10909e6i | −0.968803 | + | 0.516652i | ||||
\(130\) | 6535.84 | − | 45457.8i | 0.00297489 | − | 0.0206908i | ||||
\(131\) | −27041.9 | − | 23431.9i | −0.0120288 | − | 0.0104230i | 0.648826 | − | 0.760937i | \(-0.275260\pi\) |
−0.660854 | + | 0.750514i | \(0.729806\pi\) | |||||||
\(132\) | −2.64648e6 | − | 603141.i | −1.15066 | − | 0.262239i | ||||
\(133\) | 5.31390e6 | + | 1.56030e6i | 2.25870 | + | 0.663214i | ||||
\(134\) | −526703. | + | 240537.i | −0.218903 | + | 0.0999695i | ||||
\(135\) | −1.18694e6 | + | 1.11861e6i | −0.482423 | + | 0.454651i | ||||
\(136\) | −1.20226e6 | − | 772647.i | −0.477950 | − | 0.307160i | ||||
\(137\) | 1.63549e6i | 0.636043i | 0.948084 | + | 0.318021i | \(0.103018\pi\) | ||||
−0.948084 | + | 0.318021i | \(0.896982\pi\) | |||||||
\(138\) | 3.02125e6 | + | 2.70702e6i | 1.14961 | + | 1.03004i | ||||
\(139\) | 784633. | 0.292161 | 0.146080 | − | 0.989273i | \(-0.453334\pi\) | ||||
0.146080 | + | 0.989273i | \(0.453334\pi\) | |||||||
\(140\) | −2.07202e6 | + | 3.22413e6i | −0.755110 | + | 1.17497i | ||||
\(141\) | −3.83928e6 | + | 1.38894e6i | −1.36959 | + | 0.495480i | ||||
\(142\) | −1.50680e6 | − | 3.29943e6i | −0.526247 | − | 1.15232i | ||||
\(143\) | −14366.3 | + | 48927.2i | −0.00491289 | + | 0.0167318i | ||||
\(144\) | −27781.0 | + | 1.40628e6i | −0.00930379 | + | 0.470960i | ||||
\(145\) | 790282. | − | 912034.i | 0.259226 | − | 0.299162i | ||||
\(146\) | −4.65909e6 | − | 669876.i | −1.49707 | − | 0.215246i | ||||
\(147\) | −3.70631e6 | + | 1.97653e6i | −1.16678 | + | 0.622231i | ||||
\(148\) | 191481. | + | 220981.i | 0.0590664 | + | 0.0681663i | ||||
\(149\) | −3.27945e6 | − | 5.10293e6i | −0.991386 | − | 1.54263i | −0.831525 | − | 0.555487i | \(-0.812532\pi\) |
−0.159860 | − | 0.987140i | \(-0.551104\pi\) | |||||||
\(150\) | 2.04444e6 | + | 2.08522e6i | 0.605759 | + | 0.617844i | ||||
\(151\) | 3.16752e6 | + | 3.65551e6i | 0.920001 | + | 1.06174i | 0.997900 | + | 0.0647768i | \(0.0206335\pi\) |
−0.0778985 | + | 0.996961i | \(0.524821\pi\) | |||||||
\(152\) | −902546. | − | 3.07379e6i | −0.257003 | − | 0.875273i | ||||
\(153\) | 3.32470e6 | − | 905289.i | 0.928278 | − | 0.252763i | ||||
\(154\) | 4.80229e6 | − | 5.54214e6i | 1.31488 | − | 1.51745i | ||||
\(155\) | 1.74468e6 | + | 796770.i | 0.468513 | + | 0.213963i | ||||
\(156\) | −106875. | − | 8705.56i | −0.0281516 | − | 0.00229310i | ||||
\(157\) | −298743. | − | 654156.i | −0.0771968 | − | 0.169037i | 0.867099 | − | 0.498137i | \(-0.165982\pi\) |
−0.944295 | + | 0.329099i | \(0.893255\pi\) | |||||||
\(158\) | −4.76395e6 | + | 684953.i | −1.20780 | + | 0.173656i | ||||
\(159\) | 2.05937e6 | − | 5.35912e6i | 0.512321 | − | 1.33322i | ||||
\(160\) | −3.57770e6 | −0.873462 | ||||||||
\(161\) | −5.97356e6 | + | 2.18240e6i | −1.43138 | + | 0.522945i | ||||
\(162\) | 4.78600e6 | + | 4.49004e6i | 1.12571 | + | 1.05610i | ||||
\(163\) | 923514. | + | 593507.i | 0.213246 | + | 0.137045i | 0.642904 | − | 0.765947i | \(-0.277729\pi\) |
−0.429658 | + | 0.902992i | \(0.641366\pi\) | |||||||
\(164\) | −532601. | + | 76576.5i | −0.120745 | + | 0.0173606i | ||||
\(165\) | 1.50312e6 | + | 2.04982e6i | 0.334611 | + | 0.456313i | ||||
\(166\) | −7.67941e6 | − | 2.25488e6i | −1.67882 | − | 0.492945i | ||||
\(167\) | 844538. | + | 385688.i | 0.181330 | + | 0.0828107i | 0.504011 | − | 0.863697i | \(-0.331857\pi\) |
−0.322681 | + | 0.946508i | \(0.604584\pi\) | |||||||
\(168\) | 3.72479e6 | + | 2.08191e6i | 0.785551 | + | 0.439070i | ||||
\(169\) | 686640. | − | 4.77569e6i | 0.142255 | − | 0.989408i | ||||
\(170\) | 1.36259e6 | + | 4.64056e6i | 0.277344 | + | 0.944548i | ||||
\(171\) | 6.96127e6 | + | 3.34682e6i | 1.39220 | + | 0.669336i | ||||
\(172\) | −6.49812e6 | + | 4.17609e6i | −1.27703 | + | 0.820700i | ||||
\(173\) | −4.31654e6 | − | 6.71667e6i | −0.833676 | − | 1.29723i | −0.952570 | − | 0.304319i | \(-0.901571\pi\) |
0.118894 | − | 0.992907i | \(-0.462065\pi\) | |||||||
\(174\) | −3.85825e6 | − | 2.94816e6i | −0.732391 | − | 0.559632i | ||||
\(175\) | −4.39279e6 | + | 1.28984e6i | −0.819646 | + | 0.240670i | ||||
\(176\) | 2.16978e6 | + | 311967.i | 0.397995 | + | 0.0572230i | ||||
\(177\) | 2.98229e6 | + | 1.66690e6i | 0.537812 | + | 0.300601i | ||||
\(178\) | 2.63606e6 | − | 5.77217e6i | 0.467408 | − | 1.02348i | ||||
\(179\) | −323189. | + | 1.10068e6i | −0.0563505 | + | 0.191912i | −0.982858 | − | 0.184364i | \(-0.940977\pi\) |
0.926508 | + | 0.376276i | \(0.122796\pi\) | |||||||
\(180\) | −3.57941e6 | + | 3.96965e6i | −0.613754 | + | 0.680667i | ||||
\(181\) | −741081. | − | 5.15433e6i | −0.124977 | − | 0.869233i | −0.951789 | − | 0.306755i | \(-0.900757\pi\) |
0.826812 | − | 0.562479i | \(-0.190152\pi\) | |||||||
\(182\) | 156623. | − | 243711.i | 0.0259802 | − | 0.0404260i | ||||
\(183\) | −1.04540e7 | + | 2.16623e6i | −1.70581 | + | 0.353470i | ||||
\(184\) | 2.93010e6 | + | 2.22434e6i | 0.470359 | + | 0.357065i | ||||
\(185\) | − | 273820.i | − | 0.0432465i | ||||||
\(186\) | 2.76822e6 | − | 7.20380e6i | 0.430192 | − | 1.11950i | ||||
\(187\) | −764251. | − | 5.31548e6i | −0.116872 | − | 0.812864i | ||||
\(188\) | −1.21711e7 | + | 5.55835e6i | −1.83171 | + | 0.836513i | ||||
\(189\) | −9.74198e6 | + | 3.30827e6i | −1.44298 | + | 0.490023i | ||||
\(190\) | −4.50372e6 | + | 9.86177e6i | −0.656615 | + | 1.43779i | ||||
\(191\) | 6.74367e6 | + | 5.84342e6i | 0.967823 | + | 0.838624i | 0.986923 | − | 0.161194i | \(-0.0515344\pi\) |
−0.0190993 | + | 0.999818i | \(0.506080\pi\) | |||||||
\(192\) | 680102. | + | 1.10404e7i | 0.0960882 | + | 1.55984i | ||||
\(193\) | −443866. | + | 130331.i | −0.0617419 | + | 0.0181291i | −0.312458 | − | 0.949932i | \(-0.601152\pi\) |
0.250716 | + | 0.968061i | \(0.419334\pi\) | |||||||
\(194\) | 9.31401e6 | − | 8.07064e6i | 1.27565 | − | 1.10536i | ||||
\(195\) | 70299.9 | + | 71702.4i | 0.00948093 | + | 0.00967007i | ||||
\(196\) | −1.15804e7 | + | 7.44229e6i | −1.53800 | + | 0.988412i | ||||
\(197\) | −5.88079e6 | + | 5.09574e6i | −0.769196 | + | 0.666512i | −0.948320 | − | 0.317314i | \(-0.897219\pi\) |
0.179124 | + | 0.983826i | \(0.442674\pi\) | |||||||
\(198\) | 7.86024e6 | − | 6.54365e6i | 1.01261 | − | 0.842993i | ||||
\(199\) | 668096. | − | 4.64671e6i | 0.0847773 | − | 0.589639i | −0.902507 | − | 0.430675i | \(-0.858275\pi\) |
0.987284 | − | 0.158964i | \(-0.0508155\pi\) | |||||||
\(200\) | 2.00142e6 | + | 1.73424e6i | 0.250177 | + | 0.216780i | ||||
\(201\) | 281322. | − | 1.23440e6i | 0.0346430 | − | 0.152008i | ||||
\(202\) | 2.20612e7 | + | 6.47776e6i | 2.67655 | + | 0.785907i | ||||
\(203\) | 6.92461e6 | − | 3.16236e6i | 0.827765 | − | 0.378027i | ||||
\(204\) | 1.06190e7 | − | 3.84164e6i | 1.25081 | − | 0.452508i | ||||
\(205\) | 423898. | + | 272423.i | 0.0492039 | + | 0.0316214i | ||||
\(206\) | − | 5.59503e6i | − | 0.640031i | ||||||
\(207\) | −8.71391e6 | + | 1.65531e6i | −0.982431 | + | 0.186624i | ||||
\(208\) | 86597.7 | 0.00962314 | ||||||||
\(209\) | 6.50811e6 | − | 1.01268e7i | 0.712879 | − | 1.10926i | ||||
\(210\) | −4.91269e6 | − | 1.35795e7i | −0.530471 | − | 1.46631i | ||||
\(211\) | −4.28419e6 | − | 9.38107e6i | −0.456059 | − | 0.998630i | −0.988368 | − | 0.152080i | \(-0.951403\pi\) |
0.532309 | − | 0.846550i | \(-0.321324\pi\) | |||||||
\(212\) | 5.30085e6 | − | 1.80530e7i | 0.556337 | − | 1.89471i | ||||
\(213\) | 7.73263e6 | + | 1.76229e6i | 0.800181 | + | 0.182364i | ||||
\(214\) | 9.97916e6 | − | 1.15166e7i | 1.01825 | − | 1.17512i | ||||
\(215\) | 7.15989e6 | + | 1.02944e6i | 0.720429 | + | 0.103582i | ||||
\(216\) | 4.65647e6 | + | 3.70602e6i | 0.462057 | + | 0.367745i | ||||
\(217\) | 7.92312e6 | + | 9.14377e6i | 0.775384 | + | 0.894841i | ||||
\(218\) | −6.61301e6 | − | 1.02900e7i | −0.638307 | − | 0.993225i | ||||
\(219\) | 7.34896e6 | − | 7.20522e6i | 0.699671 | − | 0.685985i | ||||
\(220\) | 5.45518e6 | + | 6.29561e6i | 0.512319 | + | 0.591248i | ||||
\(221\) | −59768.3 | − | 203552.i | −0.00553725 | − | 0.0188581i | ||||
\(222\) | −1.09967e6 | + | 67741.0i | −0.100508 | + | 0.00619146i | ||||
\(223\) | −3.44243e6 | + | 3.97278e6i | −0.310421 | + | 0.358245i | −0.889426 | − | 0.457079i | \(-0.848896\pi\) |
0.579005 | + | 0.815324i | \(0.303441\pi\) | |||||||
\(224\) | −2.05289e7 | − | 9.37524e6i | −1.82651 | − | 0.834139i | ||||
\(225\) | −6.33686e6 | + | 783693.i | −0.556322 | + | 0.0688015i | ||||
\(226\) | 6.55302e6 | + | 1.43491e7i | 0.567696 | + | 1.24308i | ||||
\(227\) | −1.13107e7 | + | 1.62623e6i | −0.966968 | + | 0.139029i | −0.607666 | − | 0.794192i | \(-0.707894\pi\) |
−0.359302 | + | 0.933221i | \(0.616985\pi\) | |||||||
\(228\) | 2.36288e7 | + | 9.07992e6i | 1.99360 | + | 0.766086i | ||||
\(229\) | −4.79291e6 | −0.399110 | −0.199555 | − | 0.979887i | \(-0.563950\pi\) | ||||
−0.199555 | + | 0.979887i | \(0.563950\pi\) | |||||||
\(230\) | −2.56453e6 | − | 1.21826e7i | −0.210777 | − | 1.00129i | ||||
\(231\) | 3.25343e6 | + | 1.57008e7i | 0.263940 | + | 1.27375i | ||||
\(232\) | −3.70439e6 | − | 2.38067e6i | −0.296656 | − | 0.190649i | ||||
\(233\) | 9.05998e6 | − | 1.30263e6i | 0.716241 | − | 0.102980i | 0.225447 | − | 0.974255i | \(-0.427616\pi\) |
0.490794 | + | 0.871275i | \(0.336707\pi\) | |||||||
\(234\) | 270566. | − | 300064.i | 0.0211167 | − | 0.0234189i | ||||
\(235\) | 1.20225e7 | + | 3.53012e6i | 0.926384 | + | 0.272011i | ||||
\(236\) | 1.01849e7 | + | 4.65129e6i | 0.774856 | + | 0.353865i | ||||
\(237\) | 5.13435e6 | − | 9.18601e6i | 0.385692 | − | 0.690052i | ||||
\(238\) | −4.34186e6 | + | 3.01983e7i | −0.322066 | + | 2.24002i | ||||
\(239\) | 2.33182e6 | + | 7.94145e6i | 0.170805 | + | 0.581709i | 0.999750 | + | 0.0223782i | \(0.00712379\pi\) |
−0.828944 | + | 0.559331i | \(0.811058\pi\) | |||||||
\(240\) | 2.62090e6 | − | 3.42998e6i | 0.189591 | − | 0.248118i | ||||
\(241\) | 1.78460e7 | − | 1.14689e7i | 1.27494 | − | 0.819354i | 0.284684 | − | 0.958621i | \(-0.408111\pi\) |
0.990255 | + | 0.139268i | \(0.0444749\pi\) | |||||||
\(242\) | 3.20958e6 | + | 4.99421e6i | 0.226466 | + | 0.352388i | ||||
\(243\) | −1.41545e7 | + | 2.35427e6i | −0.986448 | + | 0.164073i | ||||
\(244\) | −3.35708e7 | + | 9.85728e6i | −2.31096 | + | 0.678559i | ||||
\(245\) | 1.27598e7 | + | 1.83458e6i | 0.867651 | + | 0.124749i | ||||
\(246\) | 989185. | − | 1.76978e6i | 0.0664465 | − | 0.118881i | ||||
\(247\) | 197550. | − | 432573.i | 0.0131095 | − | 0.0287058i | ||||
\(248\) | 1.97172e6 | − | 6.71506e6i | 0.129268 | − | 0.440246i | ||||
\(249\) | 1.41123e7 | − | 1.03484e7i | 0.914112 | − | 0.670312i | ||||
\(250\) | −3.55078e6 | − | 2.46962e7i | −0.227250 | − | 1.58056i | ||||
\(251\) | −5.99078e6 | + | 9.32183e6i | −0.378846 | + | 0.589495i | −0.977351 | − | 0.211623i | \(-0.932125\pi\) |
0.598506 | + | 0.801118i | \(0.295761\pi\) | |||||||
\(252\) | −3.09411e7 | + | 1.33982e7i | −1.93345 | + | 0.837230i | ||||
\(253\) | 893440. | + | 1.37945e7i | 0.0551701 | + | 0.851811i | ||||
\(254\) | 4.26733e7i | 2.60408i | ||||||||
\(255\) | −9.87123e6 | − | 3.79325e6i | −0.595320 | − | 0.228765i | ||||
\(256\) | 302858. | + | 2.10642e6i | 0.0180517 | + | 0.125553i | ||||
\(257\) | 2.36273e7 | − | 1.07902e7i | 1.39192 | − | 0.635669i | 0.428471 | − | 0.903555i | \(-0.359052\pi\) |
0.963451 | + | 0.267886i | \(0.0863250\pi\) | |||||||
\(258\) | 2.36294e6 | − | 2.90089e7i | 0.137592 | − | 1.68917i | ||||
\(259\) | 717537. | − | 1.57119e6i | 0.0412995 | − | 0.0904333i | ||||
\(260\) | 248706. | + | 215505.i | 0.0141503 | + | 0.0122613i | ||||
\(261\) | 1.02440e7 | − | 2.78936e6i | 0.576167 | − | 0.156886i | ||||
\(262\) | 423950. | − | 124483.i | 0.0235728 | − | 0.00692159i | ||||
\(263\) | 1.56377e7 | − | 1.35501e7i | 0.859618 | − | 0.744863i | −0.108835 | − | 0.994060i | \(-0.534712\pi\) |
0.968453 | + | 0.249197i | \(0.0801665\pi\) | |||||||
\(264\) | 6.62281e6 | − | 6.49327e6i | 0.359941 | − | 0.352900i | ||||
\(265\) | −1.48226e7 | + | 9.52590e6i | −0.796501 | + | 0.511880i | ||||
\(266\) | −5.16849e7 | + | 4.47852e7i | −2.74611 | + | 2.37952i | ||||
\(267\) | 6.52885e6 | + | 1.22426e7i | 0.343007 | + | 0.643191i | ||||
\(268\) | 590482. | − | 4.10689e6i | 0.0306763 | − | 0.213358i | ||||
\(269\) | −2.71921e7 | − | 2.35621e7i | −1.39697 | − | 1.21048i | −0.948538 | − | 0.316662i | \(-0.897438\pi\) |
−0.448430 | − | 0.893818i | \(-0.648017\pi\) | |||||||
\(270\) | −3.69623e6 | − | 1.97982e7i | −0.187788 | − | 1.00585i | ||||
\(271\) | −1.51456e7 | − | 4.44716e6i | −0.760991 | − | 0.223447i | −0.121862 | − | 0.992547i | \(-0.538887\pi\) |
−0.639128 | + | 0.769100i | \(0.720705\pi\) | |||||||
\(272\) | −8.29564e6 | + | 3.78849e6i | −0.412233 | + | 0.188261i | ||||
\(273\) | 215489. | + | 595648.i | 0.0105910 | + | 0.0292753i | ||||
\(274\) | −1.69898e7 | − | 1.09187e7i | −0.825918 | − | 0.530785i | ||||
\(275\) | 9.95114e6i | 0.478492i | ||||||||
\(276\) | −2.80228e7 | + | 7.72540e6i | −1.33286 | + | 0.367446i | ||||
\(277\) | −4.58119e6 | −0.215546 | −0.107773 | − | 0.994176i | \(-0.534372\pi\) | ||||
−0.107773 | + | 0.994176i | \(0.534372\pi\) | |||||||
\(278\) | −5.23828e6 | + | 8.15093e6i | −0.243812 | + | 0.379378i | ||||
\(279\) | 8.84064e6 | + | 1.43728e7i | 0.407072 | + | 0.661801i | ||||
\(280\) | −5.44019e6 | − | 1.19124e7i | −0.247822 | − | 0.542655i | ||||
\(281\) | 5.02907e6 | − | 1.71274e7i | 0.226657 | − | 0.771922i | −0.765114 | − | 0.643895i | \(-0.777317\pi\) |
0.991771 | − | 0.128027i | \(-0.0408644\pi\) | |||||||
\(282\) | 1.12028e7 | − | 4.91559e7i | 0.499549 | − | 2.19194i | ||||
\(283\) | −2.40800e7 | + | 2.77898e7i | −1.06242 | + | 1.22610i | −0.0892514 | + | 0.996009i | \(0.528447\pi\) |
−0.973169 | + | 0.230090i | \(0.926098\pi\) | |||||||
\(284\) | 2.57268e7 | + | 3.69896e6i | 1.12313 | + | 0.161482i | ||||
\(285\) | −1.11545e7 | − | 2.09165e7i | −0.481856 | − | 0.903556i | ||||
\(286\) | −412355. | − | 475883.i | −0.0176268 | − | 0.0203424i | ||||
\(287\) | 1.71846e6 | + | 2.67398e6i | 0.0726932 | + | 0.113113i | ||||
\(288\) | −2.61376e7 | − | 1.75366e7i | −1.09418 | − | 0.734121i | ||||
\(289\) | −1.17620e6 | − | 1.35741e6i | −0.0487290 | − | 0.0562363i | ||||
\(290\) | 4.19840e6 | + | 1.42984e7i | 0.172143 | + | 0.586266i | ||||
\(291\) | 1.65683e6 | + | 2.68959e7i | 0.0672354 | + | 1.09146i | ||||
\(292\) | 2.20877e7 | − | 2.54905e7i | 0.887158 | − | 1.02384i | ||||
\(293\) | −3.11319e7 | − | 1.42175e7i | −1.23767 | − | 0.565223i | −0.314365 | − | 0.949302i | \(-0.601792\pi\) |
−0.923300 | + | 0.384079i | \(0.874519\pi\) | |||||||
\(294\) | 4.21104e6 | − | 5.16974e7i | 0.165709 | − | 2.03435i | ||||
\(295\) | −4.35574e6 | − | 9.53775e6i | −0.169667 | − | 0.371518i | ||||
\(296\) | −988962. | + | 142191.i | −0.0381333 | + | 0.00548274i | ||||
\(297\) | 933840. | + | 2.23430e7i | 0.0356454 | + | 0.852851i | ||||
\(298\) | 7.49042e7 | 2.83046 | ||||||||
\(299\) | 112490. | + | 534375.i | 0.00420822 | + | 0.0199909i | ||||
\(300\) | −2.04903e7 | + | 4.24589e6i | −0.758899 | + | 0.157255i | ||||
\(301\) | 3.83860e7 | + | 2.46692e7i | 1.40758 | + | 0.904598i | ||||
\(302\) | −5.91209e7 | + | 8.50030e6i | −2.14645 | + | 0.308612i | ||||
\(303\) | −4.05415e7 | + | 2.97288e7i | −1.45738 | + | 1.06868i | ||||
\(304\) | −1.96149e7 | − | 5.75945e6i | −0.698177 | − | 0.205003i | ||||
\(305\) | 2.98040e7 | + | 1.36110e7i | 1.05045 | + | 0.479724i | ||||
\(306\) | −1.27917e7 | + | 4.05815e7i | −0.446440 | + | 1.41633i | ||||
\(307\) | 2.80765e6 | − | 1.95276e7i | 0.0970349 | − | 0.674892i | −0.882007 | − | 0.471235i | \(-0.843808\pi\) |
0.979042 | − | 0.203657i | \(-0.0652827\pi\) | |||||||
\(308\) | 1.48045e7 | + | 5.04195e7i | 0.506689 | + | 1.72562i | ||||
\(309\) | 9.72058e6 | + | 7.42766e6i | 0.329471 | + | 0.251754i | ||||
\(310\) | −1.99247e7 | + | 1.28048e7i | −0.668816 | + | 0.429822i | ||||
\(311\) | −66001.1 | − | 102700.i | −0.00219417 | − | 0.00341419i | 0.840155 | − | 0.542347i | \(-0.182464\pi\) |
−0.842349 | + | 0.538933i | \(0.818828\pi\) | |||||||
\(312\) | 222463. | − | 291138.i | 0.00732477 | − | 0.00958593i | ||||
\(313\) | −2.68383e7 | + | 7.88043e6i | −0.875229 | + | 0.256991i | −0.688338 | − | 0.725390i | \(-0.741659\pi\) |
−0.186891 | + | 0.982381i | \(0.559841\pi\) | |||||||
\(314\) | 8.78995e6 | + | 1.26380e6i | 0.283921 | + | 0.0408217i | ||||
\(315\) | 3.01143e7 | + | 9.49234e6i | 0.963478 | + | 0.303698i | ||||
\(316\) | 1.43268e7 | − | 3.13713e7i | 0.454034 | − | 0.994195i | ||||
\(317\) | 1.43122e7 | − | 4.87428e7i | 0.449291 | − | 1.53014i | −0.354398 | − | 0.935095i | \(-0.615314\pi\) |
0.803689 | − | 0.595049i | \(-0.202868\pi\) | |||||||
\(318\) | 4.19232e7 | + | 5.71711e7i | 1.30369 | + | 1.77785i | ||||
\(319\) | −2.35480e6 | − | 1.63780e7i | −0.0725407 | − | 0.504532i | ||||
\(320\) | 1.83531e7 | − | 2.85580e7i | 0.560093 | − | 0.871522i | ||||
\(321\) | 6.76062e6 | + | 3.26261e7i | 0.204396 | + | 0.986394i | ||||
\(322\) | 1.72089e7 | − | 7.66245e7i | 0.515448 | − | 2.29509i | ||||
\(323\) | 5.00808e7i | 1.48616i | ||||||||
\(324\) | −4.56078e7 | + | 1.14561e7i | −1.34093 | + | 0.336822i | ||||
\(325\) | 55946.3 | + | 389115.i | 0.00162975 | + | 0.0113352i | ||||
\(326\) | −1.23309e7 | + | 5.63135e6i | −0.355913 | + | 0.162540i | ||||
\(327\) | 2.66566e7 | + | 2.17132e6i | 0.762361 | + | 0.0620985i | ||||
\(328\) | 763790. | − | 1.67247e6i | 0.0216447 | − | 0.0473953i | ||||
\(329\) | 5.97348e7 | + | 5.17605e7i | 1.67741 | + | 1.45349i | ||||
\(330\) | −3.13289e7 | + | 1.92990e6i | −0.871772 | + | 0.0537024i | ||||
\(331\) | 3.45232e7 | − | 1.01369e7i | 0.951977 | − | 0.279526i | 0.231367 | − | 0.972866i | \(-0.425680\pi\) |
0.720610 | + | 0.693341i | \(0.243862\pi\) | |||||||
\(332\) | 4.33431e7 | − | 3.75570e7i | 1.18442 | − | 1.02631i | ||||
\(333\) | 1.34217e6 | − | 2.00045e6i | 0.0363475 | − | 0.0541744i | ||||
\(334\) | −9.64482e6 | + | 6.19835e6i | −0.258854 | + | 0.166355i | ||||
\(335\) | −2.93646e6 | + | 2.54445e6i | −0.0781068 | + | 0.0676800i | ||||
\(336\) | 2.40269e7 | − | 1.28133e7i | 0.633404 | − | 0.337787i | ||||
\(337\) | −9.18567e6 | + | 6.38877e7i | −0.240005 | + | 1.66927i | 0.412095 | + | 0.911141i | \(0.364797\pi\) |
−0.652100 | + | 0.758133i | \(0.726112\pi\) | |||||||
\(338\) | 4.50267e7 | + | 3.90159e7i | 1.16606 | + | 1.01040i | ||||
\(339\) | −3.36290e7 | − | 7.66414e6i | −0.863206 | − | 0.196727i | ||||
\(340\) | −3.32527e7 | − | 9.76389e6i | −0.846040 | − | 0.248420i | ||||
\(341\) | 2.39214e7 | − | 1.09246e7i | 0.603287 | − | 0.275512i | ||||
\(342\) | −8.12416e7 | + | 4.99714e7i | −2.03095 | + | 1.24923i | ||||
\(343\) | 1.66751e7 | + | 1.07164e7i | 0.413224 | + | 0.265563i | ||||
\(344\) | − | 2.63941e7i | − | 0.648383i | ||||||
\(345\) | 2.45701e7 | + | 1.17175e7i | 0.598343 | + | 0.285350i | ||||
\(346\) | 9.85918e7 | 2.38019 | ||||||||
\(347\) | 3.75684e7 | − | 5.84576e7i | 0.899155 | − | 1.39911i | −0.0176797 | − | 0.999844i | \(-0.505628\pi\) |
0.916834 | − | 0.399268i | \(-0.130736\pi\) | |||||||
\(348\) | 3.27190e7 | − | 1.18368e7i | 0.776358 | − | 0.280864i | ||||
\(349\) | −3.11053e7 | − | 6.81111e7i | −0.731742 | − | 1.60229i | −0.796679 | − | 0.604402i | \(-0.793412\pi\) |
0.0649371 | − | 0.997889i | \(-0.479315\pi\) | |||||||
\(350\) | 1.59276e7 | − | 5.42443e7i | 0.371488 | − | 1.26517i | ||||
\(351\) | 162130. | + | 868420.i | 0.00374924 | + | 0.0200821i | ||||
\(352\) | −3.21235e7 | + | 3.70726e7i | −0.736539 | + | 0.850011i | ||||
\(353\) | −5.45521e7 | − | 7.84340e6i | −1.24019 | − | 0.178312i | −0.509167 | − | 0.860668i | \(-0.670046\pi\) |
−0.731020 | + | 0.682356i | \(0.760955\pi\) | |||||||
\(354\) | −3.72262e7 | + | 1.98523e7i | −0.839149 | + | 0.447509i | ||||
\(355\) | −1.59392e7 | − | 1.83948e7i | −0.356272 | − | 0.411160i | ||||
\(356\) | 2.45832e7 | + | 3.82523e7i | 0.544865 | + | 0.847827i | ||||
\(357\) | −4.67013e7 | − | 4.76330e7i | −1.02642 | − | 1.04689i | ||||
\(358\) | −9.27647e6 | − | 1.07056e7i | −0.202178 | − | 0.233326i | ||||
\(359\) | −1.00806e7 | − | 3.43313e7i | −0.217872 | − | 0.742005i | −0.993800 | − | 0.111183i | \(-0.964536\pi\) |
0.775928 | − | 0.630822i | \(-0.217282\pi\) | |||||||
\(360\) | −4.79852e6 | − | 1.76227e7i | −0.102849 | − | 0.377716i | ||||
\(361\) | −4.27073e7 | + | 4.92869e7i | −0.907780 | + | 1.04763i | ||||
\(362\) | 5.84918e7 | + | 2.67123e7i | 1.23302 | + | 0.563100i | ||||
\(363\) | −1.29376e7 | − | 1.05384e6i | −0.270479 | − | 0.0220320i | ||||
\(364\) | 862356. | + | 1.88830e6i | 0.0178806 | + | 0.0391531i | ||||
\(365\) | −3.12642e7 | + | 4.49511e6i | −0.642936 | + | 0.0924403i | ||||
\(366\) | 4.72889e7 | − | 1.23061e8i | 0.964530 | − | 2.51001i | ||||
\(367\) | −5.61215e6 | −0.113535 | −0.0567677 | − | 0.998387i | \(-0.518079\pi\) | ||||
−0.0567677 | + | 0.998387i | \(0.518079\pi\) | |||||||
\(368\) | 2.20499e7 | − | 8.05575e6i | 0.442448 | − | 0.161645i | ||||
\(369\) | 1.76155e6 | + | 4.06803e6i | 0.0350603 | + | 0.0809664i | ||||
\(370\) | 2.84450e6 | + | 1.82805e6i | 0.0561567 | + | 0.0360897i | ||||
\(371\) | −1.10015e8 | + | 1.58177e7i | −2.15441 | + | 0.309758i | ||||
\(372\) | 3.27013e7 | + | 4.45951e7i | 0.635237 | + | 0.866281i | ||||
\(373\) | 9.38296e7 | + | 2.75508e7i | 1.80806 | + | 0.530895i | 0.998428 | − | 0.0560413i | \(-0.0178479\pi\) |
0.809633 | + | 0.586936i | \(0.199666\pi\) | |||||||
\(374\) | 6.03206e7 | + | 2.75475e7i | 1.15306 | + | 0.526583i | ||||
\(375\) | 4.76201e7 | + | 2.66164e7i | 0.903017 | + | 0.504725i | ||||
\(376\) | 6.50669e6 | − | 4.52551e7i | 0.122404 | − | 0.851341i | ||||
\(377\) | −184157. | − | 627182.i | −0.00343688 | − | 0.0117049i | ||||
\(378\) | 3.06713e7 | − | 1.23288e8i | 0.567881 | − | 2.28268i | ||||
\(379\) | −2.20803e7 | + | 1.41902e7i | −0.405591 | + | 0.260657i | −0.727492 | − | 0.686116i | \(-0.759314\pi\) |
0.321902 | + | 0.946773i | \(0.395678\pi\) | |||||||
\(380\) | −4.20005e7 | − | 6.53541e7i | −0.765427 | − | 1.19103i | ||||
\(381\) | −7.41389e7 | − | 5.66507e7i | −1.34051 | − | 1.02431i | ||||
\(382\) | −1.05724e8 | + | 3.10434e7i | −1.89664 | + | 0.556902i | ||||
\(383\) | 4.01857e7 | + | 5.77783e6i | 0.715279 | + | 0.102842i | 0.490340 | − | 0.871531i | \(-0.336873\pi\) |
0.224939 | + | 0.974373i | \(0.427782\pi\) | |||||||
\(384\) | −5.41041e7 | − | 3.02405e7i | −0.955512 | − | 0.534066i | ||||
\(385\) | 2.04422e7 | − | 4.47622e7i | 0.358216 | − | 0.784384i | ||||
\(386\) | 1.60939e6 | − | 5.48107e6i | 0.0279833 | − | 0.0953024i | ||||
\(387\) | 4.72620e7 | + | 4.26159e7i | 0.815417 | + | 0.735257i | ||||
\(388\) | 1.25680e7 | + | 8.74122e7i | 0.215164 | + | 1.49650i | ||||
\(389\) | 2.08669e7 | − | 3.24696e7i | 0.354495 | − | 0.551604i | −0.617511 | − | 0.786562i | \(-0.711859\pi\) |
0.972006 | + | 0.234958i | \(0.0754953\pi\) | |||||||
\(390\) | −1.21419e6 | + | 251598.i | −0.0204688 | + | 0.00424144i | ||||
\(391\) | −3.41539e7 | − | 4.62693e7i | −0.571360 | − | 0.774039i | ||||
\(392\) | − | 4.70375e7i | − | 0.780882i | ||||||
\(393\) | −346541. | + | 901810.i | −0.00570922 | + | 0.0148572i | ||||
\(394\) | −1.36748e7 | − | 9.51105e7i | −0.223580 | − | 1.55503i | ||||
\(395\) | −2.93780e7 | + | 1.34165e7i | −0.476684 | + | 0.217694i | ||||
\(396\) | 8.99505e6 | + | 7.27331e7i | 0.144850 | + | 1.17124i | ||||
\(397\) | 5.14069e6 | − | 1.12565e7i | 0.0821580 | − | 0.179901i | −0.864095 | − | 0.503329i | \(-0.832108\pi\) |
0.946253 | + | 0.323428i | \(0.104836\pi\) | |||||||
\(398\) | 4.38107e7 | + | 3.79622e7i | 0.694914 | + | 0.602147i | ||||
\(399\) | −9.19398e6 | − | 1.49250e8i | −0.144739 | − | 2.34960i | ||||
\(400\) | 1.62148e7 | − | 4.76111e6i | 0.253357 | − | 0.0743923i | ||||
\(401\) | −4.12862e7 | + | 3.57747e7i | −0.640282 | + | 0.554808i | −0.913344 | − | 0.407189i | \(-0.866509\pi\) |
0.273062 | + | 0.961997i | \(0.411964\pi\) | |||||||
\(402\) | 1.09450e7 | + | 1.11634e7i | 0.168476 | + | 0.171837i | ||||
\(403\) | 873970. | − | 561667.i | 0.0133531 | − | 0.00858150i | ||||
\(404\) | −1.24515e8 | + | 1.07893e8i | −1.88833 | + | 1.63625i | ||||
\(405\) | 3.93034e7 | + | 1.98613e7i | 0.591651 | + | 0.298980i | ||||
\(406\) | −1.33781e7 | + | 9.30465e7i | −0.199901 | + | 1.39034i | ||||
\(407\) | −2.83736e6 | − | 2.45859e6i | −0.0420854 | − | 0.0364672i | ||||
\(408\) | −8.57414e6 | + | 3.76219e7i | −0.126244 | + | 0.553937i | ||||
\(409\) | −1.12138e8 | − | 3.29266e7i | −1.63901 | − | 0.481257i | −0.672975 | − | 0.739665i | \(-0.734984\pi\) |
−0.966036 | + | 0.258408i | \(0.916802\pi\) | |||||||
\(410\) | −5.65997e6 | + | 2.58482e6i | −0.0821225 | + | 0.0375041i | ||||
\(411\) | 4.15244e7 | − | 1.50224e7i | 0.598106 | − | 0.216378i | ||||
\(412\) | 3.37277e7 | + | 2.16754e7i | 0.482275 | + | 0.309939i | ||||
\(413\) | − | 6.61419e7i | − | 0.938915i | ||||||
\(414\) | 4.09792e7 | − | 1.01573e8i | 0.577514 | − | 1.43145i | ||||
\(415\) | −5.37071e7 | −0.751428 | ||||||||
\(416\) | −1.04769e6 | + | 1.63023e6i | −0.0145530 | + | 0.0226449i | ||||
\(417\) | −7.20703e6 | − | 1.99215e7i | −0.0993913 | − | 0.274735i | ||||
\(418\) | 6.17507e7 | + | 1.35215e8i | 0.845499 | + | 1.85138i | ||||
\(419\) | −2.24914e7 | + | 7.65987e7i | −0.305756 | + | 1.04131i | 0.653066 | + | 0.757301i | \(0.273482\pi\) |
−0.958822 | + | 0.284008i | \(0.908336\pi\) | |||||||
\(420\) | 1.00891e8 | + | 2.29934e7i | 1.36178 | + | 0.310353i | ||||
\(421\) | −2.77670e7 | + | 3.20448e7i | −0.372119 | + | 0.429449i | −0.910664 | − | 0.413149i | \(-0.864429\pi\) |
0.538544 | + | 0.842597i | \(0.318974\pi\) | |||||||
\(422\) | 1.26054e8 | + | 1.81238e7i | 1.67733 | + | 0.241164i | ||||
\(423\) | 7.05293e7 | + | 8.47199e7i | 0.931855 | + | 1.11935i | ||||
\(424\) | 4.21021e7 | + | 4.85884e7i | 0.552339 | + | 0.637433i | ||||
\(425\) | −2.23824e7 | − | 3.48277e7i | −0.291568 | − | 0.453689i | ||||
\(426\) | −6.99308e7 | + | 6.85630e7i | −0.904565 | + | 0.886872i | ||||
\(427\) | 1.35349e8 | + | 1.56201e8i | 1.73848 | + | 2.00632i | ||||
\(428\) | 3.07637e7 | + | 1.04772e8i | 0.392380 | + | 1.33632i | ||||
\(429\) | 1.37420e6 | − | 84652.6i | 0.0174051 | − | 0.00107218i | ||||
\(430\) | −5.84942e7 | + | 6.75059e7i | −0.735711 | + | 0.849055i | ||||
\(431\) | −9.96976e7 | − | 4.55304e7i | −1.24524 | − | 0.568682i | −0.319767 | − | 0.947496i | \(-0.603605\pi\) |
−0.925473 | + | 0.378814i | \(0.876332\pi\) | |||||||
\(432\) | 3.59600e7 | − | 1.22116e7i | 0.446035 | − | 0.151469i | ||||
\(433\) | 3.73141e6 | + | 8.17066e6i | 0.0459631 | + | 0.100645i | 0.931221 | − | 0.364456i | \(-0.118745\pi\) |
−0.885257 | + | 0.465101i | \(0.846018\pi\) | |||||||
\(434\) | −1.47883e8 | + | 2.12624e7i | −1.80904 | + | 0.260101i | ||||
\(435\) | −3.04151e7 | − | 1.16877e7i | −0.369506 | − | 0.141991i | ||||
\(436\) | 8.76489e7 | 1.05752 | ||||||||
\(437\) | 1.00608e7 | − | 1.28521e8i | 0.120555 | − | 1.54003i | ||||
\(438\) | 2.57869e7 | + | 1.24445e8i | 0.306886 | + | 1.48100i | ||||
\(439\) | −1.21382e8 | − | 7.80076e7i | −1.43470 | − | 0.922026i | −0.999767 | − | 0.0215633i | \(-0.993136\pi\) |
−0.434933 | − | 0.900463i | \(-0.643228\pi\) | |||||||
\(440\) | −2.81749e7 | + | 4.05095e6i | −0.330754 | + | 0.0475552i | ||||
\(441\) | 8.42266e7 | + | 7.59467e7i | 0.982050 | + | 0.885509i | ||||
\(442\) | 2.51356e6 | + | 738048.i | 0.0291087 | + | 0.00854708i | ||||
\(443\) | 4.05050e7 | + | 1.84980e7i | 0.465905 | + | 0.212772i | 0.634514 | − | 0.772911i | \(-0.281200\pi\) |
−0.168609 | + | 0.985683i | \(0.553928\pi\) | |||||||
\(444\) | 3.85182e6 | − | 6.89138e6i | 0.0440065 | − | 0.0787331i | ||||
\(445\) | 6.05996e6 | − | 4.21479e7i | 0.0687685 | − | 0.478295i | ||||
\(446\) | −1.82880e7 | − | 6.22833e7i | −0.206140 | − | 0.702049i | ||||
\(447\) | −9.94388e7 | + | 1.30136e8i | −1.11335 | + | 1.45705i | ||||
\(448\) | 1.80146e8 | − | 1.15773e8i | 2.00351 | − | 1.28758i | ||||
\(449\) | −2.11205e7 | − | 3.28642e7i | −0.233327 | − | 0.363064i | 0.704770 | − | 0.709436i | \(-0.251050\pi\) |
−0.938097 | + | 0.346371i | \(0.887414\pi\) | |||||||
\(450\) | 3.41643e7 | − | 7.10606e7i | 0.374917 | − | 0.779815i | ||||
\(451\) | 6.62898e6 | − | 1.94644e6i | 0.0722632 | − | 0.0212184i | ||||
\(452\) | −1.11885e8 | − | 1.60867e7i | −1.21159 | − | 0.174201i | ||||
\(453\) | 6.37176e7 | − | 1.13999e8i | 0.685432 | − | 1.22632i | ||||
\(454\) | 5.86177e7 | − | 1.28355e8i | 0.626414 | − | 1.37165i | ||||
\(455\) | 547685. | − | 1.86524e6i | 0.00581428 | − | 0.0198016i | ||||
\(456\) | −6.97522e7 | + | 5.11488e7i | −0.735637 | + | 0.539437i | ||||
\(457\) | −1.88782e7 | − | 1.31301e8i | −0.197794 | − | 1.37568i | −0.810669 | − | 0.585505i | \(-0.800896\pi\) |
0.612875 | − | 0.790180i | \(-0.290013\pi\) | |||||||
\(458\) | 3.19979e7 | − | 4.97897e7i | 0.333062 | − | 0.518255i | ||||
\(459\) | −5.35231e7 | − | 7.60975e7i | −0.553481 | − | 0.786923i | ||||
\(460\) | 8.33738e7 | + | 3.17369e7i | 0.856557 | + | 0.326055i | ||||
\(461\) | 6.59057e7i | 0.672698i | 0.941737 | + | 0.336349i | \(0.109192\pi\) | ||||
−0.941737 | + | 0.336349i | \(0.890808\pi\) | |||||||
\(462\) | −1.84823e8 | − | 7.10224e7i | −1.87426 | − | 0.720227i | ||||
\(463\) | 1.69387e7 | + | 1.17811e8i | 0.170662 | + | 1.18698i | 0.877490 | + | 0.479594i | \(0.159216\pi\) |
−0.706828 | + | 0.707385i | \(0.749875\pi\) | |||||||
\(464\) | −2.55604e7 | + | 1.16730e7i | −0.255867 | + | 0.116850i | ||||
\(465\) | 4.20435e6 | − | 5.16153e7i | 0.0418158 | − | 0.513357i | ||||
\(466\) | −4.69533e7 | + | 1.02813e8i | −0.463990 | + | 1.01600i | ||||
\(467\) | 7.96509e7 | + | 6.90179e7i | 0.782060 | + | 0.677659i | 0.951420 | − | 0.307896i | \(-0.0996248\pi\) |
−0.169361 | + | 0.985554i | \(0.554170\pi\) | |||||||
\(468\) | 760642. | + | 2.79348e6i | 0.00742066 | + | 0.0272526i | ||||
\(469\) | −2.35171e7 | + | 6.90524e6i | −0.227963 | + | 0.0669361i | ||||
\(470\) | −1.16935e8 | + | 1.01325e8i | −1.12629 | + | 0.975938i | ||||
\(471\) | −1.38647e7 | + | 1.35935e7i | −0.132693 | + | 0.130098i | ||||
\(472\) | −3.21858e7 | + | 2.06846e7i | −0.306082 | + | 0.196707i | ||||
\(473\) | 7.49546e7 | − | 6.49485e7i | 0.708296 | − | 0.613742i | ||||
\(474\) | 6.11487e7 | + | 1.14663e8i | 0.574186 | + | 1.07669i | ||||
\(475\) | 1.32071e7 | − | 9.18577e7i | 0.123233 | − | 0.857106i | ||||
\(476\) | −1.65219e8 | − | 1.43163e8i | −1.53193 | − | 1.32743i | ||||
\(477\) | −1.54982e8 | − | 3.06166e6i | −1.42799 | − | 0.0282099i | ||||
\(478\) | −9.80649e7 | − | 2.87944e7i | −0.897904 | − | 0.263648i | ||||
\(479\) | 3.37216e7 | − | 1.54001e7i | 0.306832 | − | 0.140126i | −0.256048 | − | 0.966664i | \(-0.582420\pi\) |
0.562880 | + | 0.826538i | \(0.309693\pi\) | |||||||
\(480\) | 3.28620e7 | + | 9.08364e7i | 0.297146 | + | 0.821365i | ||||
\(481\) | −124770. | − | 80185.0i | −0.00112118 | − | 0.000720540i | ||||
\(482\) | 2.61955e8i | 2.33930i | ||||||||
\(483\) | 1.10279e8 | + | 1.31620e8i | 0.978701 | + | 1.16811i | ||||
\(484\) | −4.25399e7 | −0.375198 | ||||||||
\(485\) | 4.47109e7 | − | 6.95715e7i | 0.391912 | − | 0.609826i | ||||
\(486\) | 7.00398e7 | − | 1.62757e8i | 0.610149 | − | 1.41785i | ||||
\(487\) | −2.09622e7 | − | 4.59007e7i | −0.181488 | − | 0.397404i | 0.796920 | − | 0.604085i | \(-0.206461\pi\) |
−0.978408 | + | 0.206681i | \(0.933734\pi\) | |||||||
\(488\) | 3.36824e7 | − | 1.14712e8i | 0.289830 | − | 0.987071i | ||||
\(489\) | 6.58620e6 | − | 2.88991e7i | 0.0563259 | − | 0.247149i | ||||
\(490\) | −1.04244e8 | + | 1.20304e8i | −0.886056 | + | 1.02256i | ||||
\(491\) | −4.15522e7 | − | 5.97430e6i | −0.351034 | − | 0.0504711i | −0.0354574 | − | 0.999371i | \(-0.511289\pi\) |
−0.315577 | + | 0.948900i | \(0.602198\pi\) | |||||||
\(492\) | 6.83631e6 | + | 1.28192e7i | 0.0574019 | + | 0.107638i | ||||
\(493\) | 4.50794e7 | + | 5.20244e7i | 0.376216 | + | 0.434177i | ||||
\(494\) | 3.17480e6 | + | 4.94009e6i | 0.0263352 | + | 0.0409783i | ||||
\(495\) | 3.82375e7 | − | 5.69915e7i | 0.315264 | − | 0.469888i | ||||
\(496\) | −2.92462e7 | − | 3.37519e7i | −0.239676 | − | 0.276600i | ||||
\(497\) | −4.32565e7 | − | 1.47318e8i | −0.352357 | − | 1.20002i | ||||
\(498\) | 1.32867e7 | + | 2.15689e8i | 0.107580 | + | 1.74638i | ||||
\(499\) | −9.59198e7 | + | 1.10697e8i | −0.771981 | + | 0.890913i | −0.996503 | − | 0.0835557i | \(-0.973372\pi\) |
0.224522 | + | 0.974469i | \(0.427918\pi\) | |||||||
\(500\) | 1.62628e8 | + | 7.42699e7i | 1.30103 | + | 0.594159i | ||||
\(501\) | 2.03517e6 | − | 2.49851e7i | 0.0161841 | − | 0.198686i | ||||
\(502\) | −5.68421e7 | − | 1.24467e8i | −0.449324 | − | 0.983882i | ||||
\(503\) | −5.59985e7 | + | 8.05137e6i | −0.440020 | + | 0.0632653i | −0.358765 | − | 0.933428i | \(-0.616802\pi\) |
−0.0812553 | + | 0.996693i | \(0.525893\pi\) | |||||||
\(504\) | 1.86457e7 | − | 1.13694e8i | 0.145642 | − | 0.888066i | ||||
\(505\) | 1.54289e8 | 1.19801 | ||||||||
\(506\) | −1.49264e8 | − | 8.28119e7i | −1.15214 | − | 0.639206i | ||||
\(507\) | −1.27560e8 | + | 2.64323e7i | −0.978790 | + | 0.202820i | ||||
\(508\) | −2.57241e8 | − | 1.65319e8i | −1.96222 | − | 1.26104i | ||||
\(509\) | 2.05418e8 | − | 2.95347e7i | 1.55771 | − | 0.223965i | 0.691027 | − | 0.722829i | \(-0.257158\pi\) |
0.866680 | + | 0.498864i | \(0.166249\pi\) | |||||||
\(510\) | 1.05306e8 | − | 7.72203e7i | 0.793860 | − | 0.582132i | ||||
\(511\) | −1.91174e8 | − | 5.61336e7i | −1.43273 | − | 0.420688i | ||||
\(512\) | 1.09739e8 | + | 5.01161e7i | 0.817619 | + | 0.373394i | ||||
\(513\) | 2.10335e7 | − | 2.07485e8i | 0.155797 | − | 1.53686i | ||||
\(514\) | −4.56470e7 | + | 3.17482e8i | −0.336142 | + | 2.33792i | ||||
\(515\) | −1.05776e7 | − | 3.60239e7i | −0.0774397 | − | 0.263735i | ||||
\(516\) | 1.65716e8 | + | 1.26626e8i | 1.20619 | + | 0.921668i | ||||
\(517\) | 1.44528e8 | − | 9.28822e7i | 1.04587 | − | 0.672142i | ||||
\(518\) | 1.15315e7 | + | 1.79433e7i | 0.0829651 | + | 0.129096i | ||||
\(519\) | −1.30885e8 | + | 1.71289e8i | −0.936242 | + | 1.22526i | ||||
\(520\) | −1.07894e6 | + | 316804.i | −0.00767337 | + | 0.00225310i | ||||
\(521\) | −1.19489e8 | − | 1.71800e7i | −0.844921 | − | 0.121481i | −0.293759 | − | 0.955879i | \(-0.594906\pi\) |
−0.551162 | + | 0.834398i | \(0.685815\pi\) | |||||||
\(522\) | −3.94135e7 | + | 1.25039e8i | −0.277098 | + | 0.879091i | ||||
\(523\) | 4.00577e7 | − | 8.77142e7i | 0.280015 | − | 0.613147i | −0.716405 | − | 0.697684i | \(-0.754214\pi\) |
0.996420 | + | 0.0845369i | \(0.0269411\pi\) | |||||||
\(524\) | −892003. | + | 3.03788e6i | −0.00619973 | + | 0.0211143i | ||||
\(525\) | 7.30973e7 | + | 9.96836e7i | 0.505153 | + | 0.688884i | ||||
\(526\) | 3.63629e7 | + | 2.52910e8i | 0.249863 | + | 1.73783i | ||||
\(527\) | −5.91502e7 | + | 9.20395e7i | −0.404133 | + | 0.628843i | ||||
\(528\) | −1.20092e7 | − | 5.79553e7i | −0.0815854 | − | 0.393723i | ||||
\(529\) | 7.83528e7 | + | 1.25600e8i | 0.529282 | + | 0.848446i | ||||
\(530\) | − | 2.17576e8i | − | 1.46145i | ||||||
\(531\) | 1.49289e7 | − | 9.10301e7i | 0.0997110 | − | 0.607997i | ||||
\(532\) | −6.97417e7 | − | 4.85064e8i | −0.463188 | − | 3.22154i | ||||
\(533\) | 248267. | − | 113380.i | 0.00163960 | − | 0.000748779i | ||||
\(534\) | −1.70766e8 | − | 1.39098e7i | −1.12144 | − | 0.0913477i | ||||
\(535\) | 4.24788e7 | − | 9.30157e7i | 0.277403 | − | 0.607428i | ||||
\(536\) | 1.07147e7 | + | 9.28435e6i | 0.0695803 | + | 0.0602917i | ||||
\(537\) | 3.09144e7 | − | 1.90437e6i | 0.199636 | − | 0.0122978i | ||||
\(538\) | 4.26306e8 | − | 1.25175e8i | 2.73763 | − | 0.803840i | ||||
\(539\) | 1.33578e8 | − | 1.15746e8i | 0.853039 | − | 0.739162i | ||||
\(540\) | 1.33666e8 | + | 5.44177e7i | 0.848864 | + | 0.345588i | ||||
\(541\) | 2.75422e7 | − | 1.77003e7i | 0.173943 | − | 0.111786i | −0.450772 | − | 0.892639i | \(-0.648851\pi\) |
0.624715 | + | 0.780853i | \(0.285215\pi\) | |||||||
\(542\) | 1.47312e8 | − | 1.27646e8i | 0.925208 | − | 0.801697i | ||||
\(543\) | −1.24059e8 | + | 6.61595e7i | −0.774872 | + | 0.413231i | ||||
\(544\) | 2.90436e7 | − | 2.02003e8i | 0.180407 | − | 1.25476i | ||||
\(545\) | −6.20317e7 | − | 5.37508e7i | −0.383199 | − | 0.332044i | ||||
\(546\) | −7.62634e6 | − | 1.73806e6i | −0.0468531 | − | 0.0106780i | ||||
\(547\) | 9.31739e7 | + | 2.73583e7i | 0.569288 | + | 0.167158i | 0.553694 | − | 0.832720i | \(-0.313218\pi\) |
0.0155945 | + | 0.999878i | \(0.495036\pi\) | |||||||
\(548\) | 1.31639e8 | − | 6.01175e7i | 0.799913 | − | 0.365308i | ||||
\(549\) | 1.51023e8 | + | 2.45526e8i | 0.912693 | + | 1.48382i | ||||
\(550\) | −1.03375e8 | − | 6.64348e7i | −0.621334 | − | 0.399307i | ||||
\(551\) | 1.54308e8i | 0.922432i | ||||||||
\(552\) | 2.95614e7 | − | 9.48252e7i | 0.175755 | − | 0.563776i | ||||
\(553\) | −2.03729e8 | −1.20470 | ||||||||
\(554\) | 3.05845e7 | − | 4.75904e7i | 0.179875 | − | 0.279892i | ||||
\(555\) | −6.95219e6 | + | 2.51510e6i | −0.0406670 | + | 0.0147122i | ||||
\(556\) | −2.88416e7 | − | 6.31542e7i | −0.167801 | − | 0.367433i | ||||
\(557\) | −4.40814e7 | + | 1.50128e8i | −0.255088 | + | 0.868750i | 0.727994 | + | 0.685584i | \(0.240453\pi\) |
−0.983082 | + | 0.183166i | \(0.941365\pi\) | |||||||
\(558\) | −2.08328e8 | − | 4.11551e6i | −1.19907 | − | 0.0236876i | ||||
\(559\) | 2.56577e6 | − | 2.96105e6i | 0.0146887 | − | 0.0169516i | ||||
\(560\) | −8.27181e7 | − | 1.18931e7i | −0.471017 | − | 0.0677220i | ||||
\(561\) | −1.27938e8 | + | 6.82280e7i | −0.724622 | + | 0.386433i | ||||
\(562\) | 1.44349e8 | + | 1.66587e8i | 0.813213 | + | 0.938497i | ||||
\(563\) | 5.26862e7 | + | 8.19813e7i | 0.295237 | + | 0.459398i | 0.956906 | − | 0.290398i | \(-0.0937877\pi\) |
−0.661668 | + | 0.749797i | \(0.730151\pi\) | |||||||
\(564\) | 2.52919e8 | + | 2.57964e8i | 1.40975 | + | 1.43788i | ||||
\(565\) | 6.93192e7 | + | 7.99987e7i | 0.384334 | + | 0.443545i | ||||
\(566\) | −1.27926e8 | − | 4.35675e8i | −0.705519 | − | 2.40278i | ||||
\(567\) | 1.73478e8 | + | 2.16958e8i | 0.951690 | + | 1.19022i | ||||
\(568\) | −5.81600e7 | + | 6.71202e7i | −0.317380 | + | 0.366276i | ||||
\(569\) | 9.81704e7 | + | 4.48329e7i | 0.532898 | + | 0.243366i | 0.663643 | − | 0.748050i | \(-0.269010\pi\) |
−0.130745 | + | 0.991416i | \(0.541737\pi\) | |||||||
\(570\) | 2.91754e8 | + | 2.37650e7i | 1.57541 | + | 0.128325i | ||||
\(571\) | 3.12206e7 | + | 6.83636e7i | 0.167700 | + | 0.367212i | 0.974759 | − | 0.223259i | \(-0.0716695\pi\) |
−0.807059 | + | 0.590470i | \(0.798942\pi\) | |||||||
\(572\) | 4.46617e6 | − | 642139.i | 0.0238642 | − | 0.00343116i | ||||
\(573\) | 8.64200e7 | − | 2.24892e8i | 0.459357 | − | 1.19539i | ||||
\(574\) | −3.92504e7 | −0.207543 | ||||||||
\(575\) | 5.04426e7 | + | 9.38736e7i | 0.265335 | + | 0.493787i | ||||
\(576\) | 2.74064e8 | − | 1.18676e8i | 1.43411 | − | 0.621005i | ||||
\(577\) | 2.64484e8 | + | 1.69974e8i | 1.37680 | + | 0.884818i | 0.999154 | − | 0.0411308i | \(-0.0130960\pi\) |
0.377650 | + | 0.925949i | \(0.376732\pi\) | |||||||
\(578\) | 2.19534e7 | − | 3.15643e6i | 0.113689 | − | 0.0163460i | ||||
\(579\) | 7.38606e6 | + | 1.00725e7i | 0.0380520 | + | 0.0518919i | ||||
\(580\) | −1.02458e8 | − | 3.00843e7i | −0.525123 | − | 0.154190i | ||||
\(581\) | −3.08172e8 | − | 1.40738e8i | −1.57132 | − | 0.717599i | ||||
\(582\) | −2.90462e8 | − | 1.62348e8i | −1.47340 | − | 0.823529i | ||||
\(583\) | −3.43810e7 | + | 2.39125e8i | −0.173505 | + | 1.20675i | ||||
\(584\) | 3.24701e7 | + | 1.10583e8i | 0.163022 | + | 0.555201i | ||||
\(585\) | 1.17477e6 | − | 2.44349e6i | 0.00586795 | − | 0.0122051i | ||||
\(586\) | 3.55534e8 | − | 2.28488e8i | 1.76680 | − | 1.13546i | ||||
\(587\) | 1.21478e8 | + | 1.89024e8i | 0.600599 | + | 0.934551i | 0.999843 | + | 0.0177062i | \(0.00563635\pi\) |
−0.399244 | + | 0.916845i | \(0.630727\pi\) | |||||||
\(588\) | 2.95326e8 | + | 2.25663e8i | 1.45268 | + | 1.11001i | ||||
\(589\) | −2.35315e8 | + | 6.90947e7i | −1.15160 | + | 0.338142i | ||||
\(590\) | 1.28160e8 | + | 1.84266e7i | 0.624015 | + | 0.0897198i | ||||
\(591\) | 1.83395e8 | + | 1.02505e8i | 0.888434 | + | 0.496574i | ||||
\(592\) | −2.64860e6 | + | 5.79963e6i | −0.0127659 | + | 0.0279534i | ||||
\(593\) | −6.93963e7 | + | 2.36342e8i | −0.332791 | + | 1.13338i | 0.607870 | + | 0.794037i | \(0.292024\pi\) |
−0.940661 | + | 0.339347i | \(0.889794\pi\) | |||||||
\(594\) | −2.38339e8 | − | 1.39463e8i | −1.13720 | − | 0.665428i | ||||
\(595\) | 2.91354e7 | + | 2.02641e8i | 0.138315 | + | 0.962004i | ||||
\(596\) | −2.90183e8 | + | 4.51534e8i | −1.37067 | + | 2.13281i | ||||
\(597\) | −1.24115e8 | + | 2.57184e7i | −0.583311 | + | 0.120871i | ||||
\(598\) | −6.30219e6 | − | 2.39898e6i | −0.0294705 | − | 0.0112182i | ||||
\(599\) | 2.92550e7i | 0.136119i | 0.997681 | + | 0.0680597i | \(0.0216808\pi\) | ||||
−0.997681 | + | 0.0680597i | \(0.978319\pi\) | |||||||
\(600\) | 2.56481e7 | − | 6.67445e7i | 0.118741 | − | 0.309002i | ||||
\(601\) | −4.38092e7 | − | 3.04700e8i | −0.201810 | − | 1.40362i | −0.798910 | − | 0.601450i | \(-0.794590\pi\) |
0.597101 | − | 0.802166i | \(-0.296319\pi\) | |||||||
\(602\) | −5.12537e8 | + | 2.34068e8i | −2.34929 | + | 1.07288i | ||||
\(603\) | −3.39248e7 | + | 4.19555e6i | −0.154727 | + | 0.0191354i | ||||
\(604\) | 1.77796e8 | − | 3.89320e8i | 0.806886 | − | 1.76683i | ||||
\(605\) | 3.01067e7 | + | 2.60876e7i | 0.135956 | + | 0.117806i | ||||
\(606\) | −3.81698e7 | − | 6.19626e8i | −0.171515 | − | 2.78427i | ||||
\(607\) | 1.62978e7 | − | 4.78546e6i | 0.0728722 | − | 0.0213972i | −0.245093 | − | 0.969500i | \(-0.578819\pi\) |
0.317965 | + | 0.948102i | \(0.397000\pi\) | |||||||
\(608\) | 3.45731e8 | − | 2.99578e8i | 1.53825 | − | 1.33290i | ||||
\(609\) | −1.43895e8 | − | 1.46766e8i | −0.637081 | − | 0.649790i | ||||
\(610\) | −3.40369e8 | + | 2.18742e8i | −1.49955 | + | 0.963701i | ||||
\(611\) | 5.12920e6 | − | 4.44448e6i | 0.0224867 | − | 0.0194848i | ||||
\(612\) | −1.95075e8 | − | 2.34325e8i | −0.851036 | − | 1.02227i | ||||
\(613\) | 6.20632e7 | − | 4.31659e8i | 0.269434 | − | 1.87396i | −0.184374 | − | 0.982856i | \(-0.559026\pi\) |
0.453808 | − | 0.891100i | \(-0.350065\pi\) | |||||||
\(614\) | 1.84113e8 | + | 1.59535e8i | 0.795389 | + | 0.689208i | ||||
\(615\) | 3.02310e6 | − | 1.32649e7i | 0.0129965 | − | 0.0570266i | ||||
\(616\) | −1.72284e8 | − | 5.05871e7i | −0.737059 | − | 0.216420i | ||||
\(617\) | −2.62965e8 | + | 1.20092e8i | −1.11955 | + | 0.511280i | −0.887215 | − | 0.461357i | \(-0.847363\pi\) |
−0.232332 | + | 0.972637i | \(0.574636\pi\) | |||||||
\(618\) | −1.42056e8 | + | 5.13917e7i | −0.601857 | + | 0.217735i | ||||
\(619\) | −1.89482e7 | − | 1.21772e7i | −0.0798905 | − | 0.0513425i | 0.500086 | − | 0.865976i | \(-0.333302\pi\) |
−0.579976 | + | 0.814633i | \(0.696938\pi\) | |||||||
\(620\) | − | 1.69715e8i | − | 0.712109i | ||||||
\(621\) | 1.22067e8 | + | 2.06038e8i | 0.509710 | + | 0.860346i | ||||
\(622\) | 1.50749e6 | 0.00626447 | ||||||||
\(623\) | 1.45219e8 | − | 2.25966e8i | 0.600565 | − | 0.934498i | ||||
\(624\) | −795420. | − | 2.19868e6i | −0.00327373 | − | 0.00904917i | ||||
\(625\) | −1.26989e7 | − | 2.78066e7i | −0.0520145 | − | 0.113896i | ||||
\(626\) | 9.73114e7 | − | 3.31412e8i | 0.396681 | − | 1.35097i | ||||
\(627\) | −3.16894e8 | − | 7.22211e7i | −1.28562 | − | 0.292996i | ||||
\(628\) | −4.16711e7 | + | 4.80910e7i | −0.168250 | + | 0.194171i | ||||
\(629\) | 1.54603e7 | + | 2.22286e6i | 0.0621251 | + | 0.00893224i | ||||
\(630\) | −2.99655e8 | + | 2.49462e8i | −1.19839 | + | 0.997662i | ||||
\(631\) | 2.34047e8 | + | 2.70104e8i | 0.931567 | + | 1.07509i | 0.997013 | + | 0.0772296i | \(0.0246074\pi\) |
−0.0654463 | + | 0.997856i | \(0.520847\pi\) | |||||||
\(632\) | 6.37122e7 | + | 9.91381e7i | 0.252389 | + | 0.392726i | ||||
\(633\) | −1.98830e8 | + | 1.94941e8i | −0.783919 | + | 0.768586i | ||||
\(634\) | 4.10801e8 | + | 4.74089e8i | 1.61199 | + | 1.86034i | ||||
\(635\) | 8.06750e7 | + | 2.74754e8i | 0.315078 | + | 1.07306i | ||||
\(636\) | −5.07048e8 | + | 3.12349e7i | −1.97096 | + | 0.121414i | ||||
\(637\) | 4.57251e6 | − | 5.27695e6i | 0.0176903 | − | 0.0204157i | ||||
\(638\) | 1.85859e8 | + | 8.48789e7i | 0.715684 | + | 0.326842i | ||||
\(639\) | −2.62822e7 | − | 2.12515e8i | −0.100730 | − | 0.814494i | ||||
\(640\) | 7.90209e7 | + | 1.73032e8i | 0.301441 | + | 0.660063i | ||||
\(641\) | 2.15263e8 | − | 3.09502e7i | 0.817328 | − | 0.117514i | 0.279045 | − | 0.960278i | \(-0.409982\pi\) |
0.538283 | + | 0.842764i | \(0.319073\pi\) | |||||||
\(642\) | −3.84062e8 | − | 1.47584e8i | −1.45143 | − | 0.557745i | ||||
\(643\) | −1.17248e8 | −0.441036 | −0.220518 | − | 0.975383i | \(-0.570775\pi\) | ||||
−0.220518 | + | 0.975383i | \(0.570775\pi\) | |||||||
\(644\) | 3.95235e8 | + | 4.00585e8i | 1.47978 | + | 1.49981i | ||||
\(645\) | −3.96283e7 | − | 1.91242e8i | −0.147682 | − | 0.712697i | ||||
\(646\) | −5.20250e8 | − | 3.34345e8i | −1.92981 | − | 1.24021i | ||||
\(647\) | 3.68327e7 | − | 5.29574e6i | 0.135994 | − | 0.0195530i | −0.0739815 | − | 0.997260i | \(-0.523571\pi\) |
0.209976 | + | 0.977707i | \(0.432661\pi\) | |||||||
\(648\) | 5.13236e7 | − | 1.52267e8i | 0.188622 | − | 0.559603i | ||||
\(649\) | −1.37941e8 | − | 4.05031e7i | −0.504613 | − | 0.148168i | ||||
\(650\) | −4.41571e6 | − | 2.01659e6i | −0.0160790 | − | 0.00734305i | ||||
\(651\) | 1.59381e8 | − | 2.85152e8i | 0.577688 | − | 1.03356i | ||||
\(652\) | 1.38241e7 | − | 9.61488e7i | 0.0498763 | − | 0.346897i | ||||
\(653\) | −1.05189e8 | − | 3.58242e8i | −0.377774 | − | 1.28658i | −0.900790 | − | 0.434256i | \(-0.857011\pi\) |
0.523016 | − | 0.852323i | \(-0.324807\pi\) | |||||||
\(654\) | −2.00518e8 | + | 2.62418e8i | −0.716836 | + | 0.938124i | ||||
\(655\) | 2.49428e6 | − | 1.60298e6i | 0.00887609 | − | 0.00570431i | ||||
\(656\) | −6.34325e6 | − | 9.87030e6i | −0.0224699 | − | 0.0349638i | ||||
\(657\) | −2.50440e8 | − | 1.20406e8i | −0.883094 | − | 0.424571i | ||||
\(658\) | −9.36494e8 | + | 2.74979e8i | −3.28721 | + | 0.965212i | ||||
\(659\) | 3.24060e8 | + | 4.65928e7i | 1.13232 | + | 0.162803i | 0.682896 | − | 0.730516i | \(-0.260720\pi\) |
0.449424 | + | 0.893319i | \(0.351629\pi\) | |||||||
\(660\) | 1.09736e8 | − | 1.96331e8i | 0.381696 | − | 0.682901i | ||||
\(661\) | 3.57205e7 | − | 7.82169e7i | 0.123684 | − | 0.270830i | −0.837654 | − | 0.546201i | \(-0.816073\pi\) |
0.961338 | + | 0.275371i | \(0.0888008\pi\) | |||||||
\(662\) | −1.25176e8 | + | 4.26309e8i | −0.431465 | + | 1.46944i | ||||
\(663\) | −4.61912e6 | + | 3.38717e6i | −0.0158496 | + | 0.0116224i | ||||
\(664\) | 2.78894e7 | + | 1.93975e8i | 0.0952653 | + | 0.662585i | ||||
\(665\) | −2.48108e8 | + | 3.86063e8i | −0.843675 | + | 1.31278i | ||||
\(666\) | 1.18206e7 | + | 2.72979e7i | 0.0400145 | + | 0.0924073i | ||||
\(667\) | −1.05234e8 | − | 1.42564e8i | −0.354634 | − | 0.480434i | ||||
\(668\) | − | 8.21531e7i | − | 0.275610i | ||||||
\(669\) | 1.32487e8 | + | 5.09111e7i | 0.442480 | + | 0.170033i | ||||
\(670\) | −6.82825e6 | − | 4.74915e7i | −0.0227031 | − | 0.157904i | ||||
\(671\) | 4.08644e8 | − | 1.86622e8i | 1.35263 | − | 0.617724i | ||||
\(672\) | −4.94707e7 | + | 6.07335e8i | −0.163020 | + | 2.00134i | ||||
\(673\) | −1.45399e8 | + | 3.18379e8i | −0.476997 | + | 1.04448i | 0.506281 | + | 0.862369i | \(0.331020\pi\) |
−0.983278 | + | 0.182110i | \(0.941707\pi\) | |||||||
\(674\) | −6.02355e8 | − | 5.21943e8i | −1.96731 | − | 1.70468i | ||||
\(675\) | 7.81032e7 | + | 1.53692e8i | 0.253955 | + | 0.499735i | ||||
\(676\) | −4.09629e8 | + | 1.20278e8i | −1.32602 | + | 0.389355i | ||||
\(677\) | −2.89489e8 | + | 2.50844e8i | −0.932968 | + | 0.808421i | −0.981709 | − | 0.190390i | \(-0.939025\pi\) |
0.0487405 | + | 0.998811i | \(0.484479\pi\) | |||||||
\(678\) | 3.04127e8 | − | 2.98178e8i | 0.975811 | − | 0.956725i | ||||
\(679\) | 4.38862e8 | − | 2.82039e8i | 1.40190 | − | 0.900949i | ||||
\(680\) | 8.94973e7 | − | 7.75498e7i | 0.284632 | − | 0.246635i | ||||
\(681\) | 1.45181e8 | + | 2.72237e8i | 0.459693 | + | 0.861997i | ||||
\(682\) | −4.62153e7 | + | 3.21434e8i | −0.145691 | + | 1.01330i | ||||
\(683\) | −1.67923e8 | − | 1.45506e8i | −0.527044 | − | 0.456687i | 0.350238 | − | 0.936661i | \(-0.386101\pi\) |
−0.877283 | + | 0.479974i | \(0.840646\pi\) | |||||||
\(684\) | 1.34991e7 | − | 6.83328e8i | 0.0421829 | − | 2.13531i | ||||
\(685\) | −1.30032e8 | − | 3.81808e7i | −0.404555 | − | 0.118788i | ||||
\(686\) | −2.22649e8 | + | 1.01680e8i | −0.689681 | + | 0.314967i | ||||
\(687\) | 4.40240e7 | + | 1.21690e8i | 0.135775 | + | 0.375305i | ||||
\(688\) | −1.41692e8 | − | 9.10600e7i | −0.435091 | − | 0.279616i | ||||
\(689\) | 9.54368e6i | 0.0291782i | ||||||||
\(690\) | −2.85757e8 | + | 1.77013e8i | −0.869859 | + | 0.538837i | ||||
\(691\) | 4.93649e8 | 1.49618 | 0.748090 | − | 0.663598i | \(-0.230971\pi\) | ||||
0.748090 | + | 0.663598i | \(0.230971\pi\) | |||||||
\(692\) | −3.81950e8 | + | 5.94325e8i | −1.15262 | + | 1.79352i | ||||
\(693\) | 3.68752e8 | − | 2.26818e8i | 1.10799 | − | 0.681520i | ||||
\(694\) | 3.56459e8 | + | 7.80537e8i | 1.06643 | + | 2.33515i | ||||
\(695\) | −1.83174e7 | + | 6.23832e7i | −0.0545643 | + | 0.185829i | ||||
\(696\) | −2.64185e7 | + | 1.15920e8i | −0.0783575 | + | 0.343820i | ||||
\(697\) | −1.88226e7 | + | 2.17224e7i | −0.0555880 | + | 0.0641520i | ||||
\(698\) | 9.15214e8 | + | 1.31588e8i | 2.69127 | + | 0.386946i | ||||
\(699\) | −1.16291e8 | − | 2.18064e8i | −0.340499 | − | 0.638488i | ||||
\(700\) | 2.65288e8 | + | 3.06159e8i | 0.773435 | + | 0.892591i | ||||
\(701\) | 1.52040e7 | + | 2.36580e7i | 0.0441372 | + | 0.0686789i | 0.862621 | − | 0.505851i | \(-0.168821\pi\) |
−0.818484 | + | 0.574530i | \(0.805185\pi\) | |||||||
\(702\) | −1.01037e7 | − | 4.11341e6i | −0.0292059 | − | 0.0118902i | ||||
\(703\) | 2.29283e7 | + | 2.64606e7i | 0.0659941 | + | 0.0761613i | ||||
\(704\) | −1.31132e8 | − | 4.46595e8i | −0.375830 | − | 1.27996i | ||||
\(705\) | −2.08010e7 | − | 3.37671e8i | −0.0593632 | − | 0.963667i | ||||
\(706\) | 4.45674e8 | − | 5.14335e8i | 1.26649 | − | 1.46161i | ||||
\(707\) | 8.85311e8 | + | 4.04308e8i | 2.50517 | + | 1.14407i | ||||
\(708\) | 2.45436e7 | − | 3.01314e8i | 0.0691575 | − | 0.849022i | ||||
\(709\) | 1.25671e8 | + | 2.75181e8i | 0.352612 | + | 0.772112i | 0.999951 | + | 0.00990990i | \(0.00315447\pi\) |
−0.647339 | + | 0.762202i | \(0.724118\pi\) | |||||||
\(710\) | 2.97501e8 | − | 4.27742e7i | 0.831216 | − | 0.119511i | ||||
\(711\) | −2.80389e8 | − | 4.59836e7i | −0.780104 | − | 0.127936i | ||||
\(712\) | −1.55373e8 | −0.430464 | ||||||||
\(713\) | 1.70285e8 | − | 2.24315e8i | 0.469794 | − | 0.618856i | ||||
\(714\) | 8.06603e8 | − | 1.67140e8i | 2.21598 | − | 0.459184i | ||||
\(715\) | −3.55463e6 | − | 2.28442e6i | −0.00972471 | − | 0.00624969i | ||||
\(716\) | 1.00473e8 | − | 1.44458e7i | 0.273721 | − | 0.0393551i | ||||
\(717\) | 1.80212e8 | − | 1.32148e8i | 0.488907 | − | 0.358512i | ||||
\(718\) | 4.23939e8 | + | 1.24480e8i | 1.14533 | + | 0.336299i | ||||
\(719\) | −4.29149e8 | − | 1.95986e8i | −1.15457 | − | 0.527275i | −0.256249 | − | 0.966611i | \(-0.582487\pi\) |
−0.898323 | + | 0.439335i | \(0.855214\pi\) | |||||||
\(720\) | −1.11159e8 | − | 3.50385e7i | −0.297816 | − | 0.0938746i | ||||
\(721\) | 3.37050e7 | − | 2.34424e8i | 0.0899268 | − | 0.625455i | ||||
\(722\) | −2.26884e8 | − | 7.72696e8i | −0.602827 | − | 2.05304i | ||||
\(723\) | −4.55111e8 | − | 3.47758e8i | −1.20421 | − | 0.920157i | ||||
\(724\) | −3.87626e8 | + | 2.49112e8i | −1.02140 | + | 0.656416i | ||||
\(725\) | −6.89644e7 | − | 1.07311e8i | −0.180972 | − | 0.281598i | ||||
\(726\) | 9.73202e7 | − | 1.27363e8i | 0.254327 | − | 0.332838i | ||||
\(727\) | 1.14007e8 | − | 3.34756e7i | 0.296708 | − | 0.0871214i | −0.129990 | − | 0.991515i | \(-0.541495\pi\) |
0.426699 | + | 0.904394i | \(0.359676\pi\) | |||||||
\(728\) | −7.02114e6 | − | 1.00949e6i | −0.0181976 | − | 0.00261642i | ||||
\(729\) | 1.89786e8 | + | 3.37751e8i | 0.489871 | + | 0.871795i | ||||
\(730\) | 1.62026e8 | − | 3.54788e8i | 0.416502 | − | 0.912012i | ||||
\(731\) | −1.16247e8 | + | 3.95902e8i | −0.297599 | + | 1.01353i | ||||
\(732\) | 5.58628e8 | + | 7.61808e8i | 1.42426 | + | 1.94228i | ||||
\(733\) | 5.75171e7 | + | 4.00040e8i | 0.146045 | + | 1.01576i | 0.922612 | + | 0.385728i | \(0.126050\pi\) |
−0.776568 | + | 0.630034i | \(0.783041\pi\) | |||||||
\(734\) | 3.74673e7 | − | 5.83002e7i | 0.0947466 | − | 0.147429i | ||||
\(735\) | −7.06224e7 | − | 3.40817e8i | −0.177861 | − | 0.858340i | ||||
\(736\) | −1.15114e8 | + | 5.12557e8i | −0.288732 | + | 1.28561i | ||||
\(737\) | 5.32741e7i | 0.133080i | ||||||||
\(738\) | −5.40198e7 | − | 8.85920e6i | −0.134395 | − | 0.0220407i | ||||
\(739\) | −1.81363e7 | − | 1.26141e8i | −0.0449383 | − | 0.312552i | −0.999876 | − | 0.0157463i | \(-0.994988\pi\) |
0.954938 | − | 0.296806i | \(-0.0959215\pi\) | |||||||
\(740\) | −2.20395e7 | + | 1.00651e7i | −0.0543885 | + | 0.0248384i | ||||
\(741\) | −1.27974e7 | − | 1.04242e6i | −0.0314534 | − | 0.00256205i | ||||
\(742\) | 5.70150e8 | − | 1.24846e9i | 1.39565 | − | 3.05606i | ||||
\(743\) | −5.87297e7 | − | 5.08896e7i | −0.143183 | − | 0.124069i | 0.580324 | − | 0.814385i | \(-0.302926\pi\) |
−0.723507 | + | 0.690317i | \(0.757471\pi\) | |||||||
\(744\) | −1.88603e8 | + | 1.16182e7i | −0.457963 | + | 0.0282112i | ||||
\(745\) | 4.82274e8 | − | 1.41608e8i | 1.16634 | − | 0.342468i | ||||
\(746\) | −9.12619e8 | + | 7.90789e8i | −2.19823 | + | 1.90478i | ||||
\(747\) | −3.92367e8 | − | 2.63253e8i | −0.941306 | − | 0.631554i | ||||
\(748\) | −3.99745e8 | + | 2.56901e8i | −0.955165 | + | 0.613847i | ||||
\(749\) | 4.87489e8 | − | 4.22412e8i | 1.16016 | − | 1.00529i | ||||
\(750\) | −5.94413e8 | + | 3.16994e8i | −1.40898 | + | 0.751392i | ||||
\(751\) | 1.11286e7 | − | 7.74008e7i | 0.0262736 | − | 0.182737i | −0.972459 | − | 0.233076i | \(-0.925121\pi\) |
0.998732 | + | 0.0503389i | \(0.0160301\pi\) | |||||||
\(752\) | −2.20496e8 | − | 1.91061e8i | −0.518497 | − | 0.449280i | ||||
\(753\) | 2.91704e8 | + | 6.64802e7i | 0.683216 | + | 0.155707i | ||||
\(754\) | 7.74475e6 | + | 2.27406e6i | 0.0180673 | + | 0.00530504i | ||||
\(755\) | −3.64582e8 | + | 1.66499e8i | −0.847139 | + | 0.386875i | ||||
\(756\) | 6.24376e8 | + | 6.62516e8i | 1.44504 | + | 1.53331i | ||||
\(757\) | 1.21867e8 | + | 7.83191e7i | 0.280930 | + | 0.180543i | 0.673516 | − | 0.739172i | \(-0.264783\pi\) |
−0.392586 | + | 0.919715i | \(0.628420\pi\) | |||||||
\(758\) | − | 3.24110e8i | − | 0.744192i | ||||||
\(759\) | 3.42029e8 | − | 1.49389e8i | 0.782236 | − | 0.341660i | ||||
\(760\) | 2.65456e8 | 0.604716 | ||||||||
\(761\) | 6.76253e7 | − | 1.05227e8i | 0.153446 | − | 0.238767i | −0.756017 | − | 0.654553i | \(-0.772857\pi\) |
0.909463 | + | 0.415786i | \(0.136493\pi\) | |||||||
\(762\) | 1.08346e9 | − | 3.91964e8i | 2.44876 | − | 0.885893i | ||||
\(763\) | −2.15087e8 | − | 4.70975e8i | −0.484218 | − | 1.06029i | ||||
\(764\) | 2.22447e8 | − | 7.57584e8i | 0.498822 | − | 1.69883i | ||||
\(765\) | −5.63941e6 | + | 2.85468e8i | −0.0125965 | + | 0.637637i | ||||
\(766\) | −3.28305e8 | + | 3.78884e8i | −0.730451 | + | 0.842986i | ||||
\(767\) | −5.62155e6 | − | 808256.i | −0.0124586 | − | 0.00179128i | ||||
\(768\) | 5.06994e7 | − | 2.70374e7i | 0.111923 | − | 0.0596872i | ||||
\(769\) | −1.02350e8 | − | 1.18119e8i | −0.225066 | − | 0.259740i | 0.631974 | − | 0.774989i | \(-0.282245\pi\) |
−0.857040 | + | 0.515249i | \(0.827699\pi\) | |||||||
\(770\) | 3.28525e8 | + | 5.11194e8i | 0.719608 | + | 1.11973i | ||||
\(771\) | −4.90982e8 | − | 5.00777e8i | −1.07128 | − | 1.09265i | ||||
\(772\) | 2.68058e7 | + | 3.09356e7i | 0.0582609 | + | 0.0672367i | ||||
\(773\) | −1.69797e7 | − | 5.78275e7i | −0.0367613 | − | 0.125198i | 0.939068 | − | 0.343731i | \(-0.111691\pi\) |
−0.975829 | + | 0.218534i | \(0.929873\pi\) | |||||||
\(774\) | −7.58229e8 | + | 2.06460e8i | −1.63523 | + | 0.445259i | ||||
\(775\) | 1.32765e8 | − | 1.53219e8i | 0.285219 | − | 0.329160i | ||||
\(776\) | −2.74491e8 | − | 1.25356e8i | −0.587411 | − | 0.268262i | ||||
\(777\) | −4.64825e7 | − | 3.78626e6i | −0.0990893 | − | 0.00807137i | ||||
\(778\) | 1.97991e8 | + | 4.33540e8i | 0.420443 | + | 0.920641i | ||||
\(779\) | −6.37746e7 | + | 9.16940e6i | −0.134907 | + | 0.0193967i | ||||
\(780\) | 3.18716e6 | − | 8.29400e6i | 0.00671614 | − | 0.0174775i | ||||
\(781\) | −3.33725e8 | −0.700545 | ||||||||
\(782\) | 7.08670e8 | − | 4.58992e7i | 1.48192 | − | 0.0959808i | ||||
\(783\) | −1.64914e8 | − | 2.34470e8i | −0.343537 | − | 0.488430i | ||||
\(784\) | −2.52512e8 | − | 1.62280e8i | −0.524004 | − | 0.336757i | ||||
\(785\) | 5.89837e7 | − | 8.48058e6i | 0.121934 | − | 0.0175314i | ||||
\(786\) | −7.05465e6 | − | 9.62051e6i | −0.0145281 | − | 0.0198121i | ||||
\(787\) | −5.59739e8 | − | 1.64354e8i | −1.14832 | − | 0.337176i | −0.348434 | − | 0.937333i | \(-0.613286\pi\) |
−0.799882 | + | 0.600157i | \(0.795105\pi\) | |||||||
\(788\) | 6.26317e8 | + | 2.86029e8i | 1.28002 | + | 0.584564i | ||||
\(789\) | −4.87668e8 | − | 2.72574e8i | −0.992873 | − | 0.554949i | ||||
\(790\) | 5.67571e7 | − | 3.94754e8i | 0.115117 | − | 0.800656i | ||||
\(791\) | 1.88121e8 | + | 6.40683e8i | 0.380110 | + | 1.29453i | ||||
\(792\) | −2.25694e8 | − | 1.08508e8i | −0.454301 | − | 0.218418i | ||||
\(793\) | 1.49298e7 | − | 9.59482e6i | 0.0299389 | − | 0.0192405i | ||||
\(794\) | 8.26155e7 | + | 1.28552e8i | 0.165044 | + | 0.256814i | ||||
\(795\) | 3.78008e8 | + | 2.88842e8i | 0.752314 | + | 0.574856i | ||||
\(796\) | −3.98567e8 | + | 1.17030e8i | −0.790245 | + | 0.232037i | ||||
\(797\) | 2.05125e8 | + | 2.94925e7i | 0.405176 | + | 0.0582556i | 0.341890 | − | 0.939740i | \(-0.388933\pi\) |
0.0632860 | + | 0.997995i | \(0.479842\pi\) | |||||||
\(798\) | 1.61182e9 | + | 9.00895e8i | 3.17181 | + | 1.77282i | ||||
\(799\) | −2.96915e8 | + | 6.50152e8i | −0.582091 | + | 1.27460i | ||||
\(800\) | −1.06543e8 | + | 3.62852e8i | −0.208091 | + | 0.708694i | ||||
\(801\) | 2.50866e8 | − | 2.78216e8i | 0.488140 | − | 0.541358i | ||||
\(802\) | −9.60043e7 | − | 6.67725e8i | −0.186109 | − | 1.29442i | ||||
\(803\) | −2.34137e8 | + | 3.64324e8i | −0.452192 | + | 0.703624i | ||||
\(804\) | −1.09696e8 | + | 2.27307e7i | −0.211068 | + | 0.0437365i | ||||
\(805\) | −3.40605e7 | − | 5.25884e8i | −0.0652924 | − | 1.00810i | ||||
\(806\) | 1.28287e7i | 0.0245007i | ||||||||
\(807\) | −3.48467e8 | + | 9.06821e8i | −0.663041 | + | 1.72544i | ||||
\(808\) | −8.01200e7 | − | 5.57247e8i | −0.151882 | − | 1.05636i | ||||
\(809\) | −4.85146e8 | + | 2.21559e8i | −0.916277 | + | 0.418450i | −0.817018 | − | 0.576612i | \(-0.804374\pi\) |
−0.0992590 | + | 0.995062i | \(0.531647\pi\) | |||||||
\(810\) | −4.68716e8 | + | 2.75696e8i | −0.881973 | + | 0.518772i | ||||
\(811\) | 3.35632e8 | − | 7.34931e8i | 0.629217 | − | 1.37779i | −0.279404 | − | 0.960174i | \(-0.590137\pi\) |
0.908622 | − | 0.417620i | \(-0.137136\pi\) | |||||||
\(812\) | −5.09070e8 | − | 4.41112e8i | −0.950845 | − | 0.823912i | ||||
\(813\) | 2.62046e7 | + | 4.25389e8i | 0.0487647 | + | 0.791617i | ||||
\(814\) | 4.44828e7 | − | 1.30613e7i | 0.0824743 | − | 0.0242166i | ||||
\(815\) | −6.87470e7 | + | 5.95697e7i | −0.126993 | + | 0.110040i | ||||
\(816\) | 1.72386e8 | + | 1.75825e8i | 0.317271 | + | 0.323601i | ||||
\(817\) | −7.78096e8 | + | 5.00052e8i | −1.42681 | + | 0.916957i | ||||
\(818\) | 1.09069e9 | − | 9.45089e8i | 1.99270 | − | 1.72668i | ||||
\(819\) | 1.31440e7 | − | 1.09423e7i | 0.0239262 | − | 0.0199186i | ||||
\(820\) | 6.34534e6 | − | 4.41328e7i | 0.0115084 | − | 0.0800424i | ||||
\(821\) | −7.92178e8 | − | 6.86426e8i | −1.43151 | − | 1.24041i | −0.925967 | − | 0.377604i | \(-0.876748\pi\) |
−0.505539 | − | 0.862804i | \(-0.668706\pi\) | |||||||
\(822\) | −1.21166e8 | + | 5.31655e8i | −0.218155 | + | 0.957227i | ||||
\(823\) | −6.30839e8 | − | 1.85231e8i | −1.13167 | − | 0.332288i | −0.338305 | − | 0.941037i | \(-0.609853\pi\) |
−0.793363 | + | 0.608749i | \(0.791672\pi\) | |||||||
\(824\) | −1.24615e8 | + | 5.69099e7i | −0.222736 | + | 0.101720i | ||||
\(825\) | 2.52655e8 | − | 9.14035e7i | 0.449952 | − | 0.162780i | ||||
\(826\) | 6.87096e8 | + | 4.41570e8i | 1.21921 | + | 0.783536i | ||||
\(827\) | − | 8.68686e8i | − | 1.53584i | −0.640545 | − | 0.767920i | \(-0.721292\pi\) | ||
0.640545 | − | 0.767920i | \(-0.278708\pi\) | |||||||
\(828\) | 4.53541e8 | + | 6.40528e8i | 0.798960 | + | 1.12836i | ||||
\(829\) | 7.54901e8 | 1.32503 | 0.662516 | − | 0.749048i | \(-0.269489\pi\) | ||||
0.662516 | + | 0.749048i | \(0.269489\pi\) | |||||||
\(830\) | 3.58554e8 | − | 5.57920e8i | 0.627076 | − | 0.975749i | ||||
\(831\) | 4.20793e7 | + | 1.16315e8i | 0.0733273 | + | 0.202690i | ||||
\(832\) | −7.63840e6 | − | 1.67258e7i | −0.0132627 | − | 0.0290413i | ||||
\(833\) | −2.07167e8 | + | 7.05545e8i | −0.358414 | + | 1.22065i | ||||
\(834\) | 2.55064e8 | + | 5.81297e7i | 0.439694 | + | 0.100207i | ||||
\(835\) | −5.03804e7 | + | 5.81421e7i | −0.0865371 | + | 0.0998692i | ||||
\(836\) | −1.05432e9 | − | 1.51589e8i | −1.80449 | − | 0.259446i | ||||
\(837\) | 2.83715e8 | − | 3.56477e8i | 0.483845 | − | 0.607933i | ||||
\(838\) | −6.45569e8 | − | 7.45026e8i | −1.09701 | − | 1.26602i | ||||
\(839\) | 2.54251e7 | + | 3.95622e7i | 0.0430503 | + | 0.0669875i | 0.862112 | − | 0.506718i | \(-0.169142\pi\) |
−0.819061 | + | 0.573706i | \(0.805505\pi\) | |||||||
\(840\) | −2.52480e8 | + | 2.47542e8i | −0.425981 | + | 0.417649i | ||||
\(841\) | −2.50628e8 | − | 2.89241e8i | −0.421349 | − | 0.486263i | ||||
\(842\) | −1.47513e8 | − | 5.02383e8i | −0.247112 | − | 0.841587i | ||||
\(843\) | −4.81052e8 | + | 2.96334e7i | −0.802988 | + | 0.0494652i | ||||
\(844\) | −5.97593e8 | + | 6.89660e8i | −0.993982 | + | 1.14712i | ||||
\(845\) | 3.63667e8 | + | 1.66081e8i | 0.602745 | + | 0.275265i | ||||
\(846\) | −1.35095e9 | + | 1.67075e8i | −2.23114 | + | 0.275930i | ||||
\(847\) | 1.04391e8 | + | 2.28585e8i | 0.171796 | + | 0.376181i | ||||
\(848\) | 4.06091e8 | − | 5.83870e7i | 0.665941 | − | 0.0957478i | ||||
\(849\) | 9.26751e8 | + | 3.56125e8i | 1.51440 | + | 0.581942i | ||||
\(850\) | 5.11225e8 | 0.832445 | ||||||||
\(851\) | −3.92287e7 | − | 8.81028e6i | −0.0636525 | − | 0.0142956i | ||||
\(852\) | −1.42392e8 | − | 6.87169e8i | −0.230232 | − | 1.11108i | ||||
\(853\) | −7.50005e7 | − | 4.81999e7i | −0.120842 | − | 0.0776603i | 0.478824 | − | 0.877911i | \(-0.341063\pi\) |
−0.599665 | + | 0.800251i | \(0.704700\pi\) | |||||||
\(854\) | −2.52625e9 | + | 3.63220e8i | −4.05604 | + | 0.583171i | ||||
\(855\) | −4.28605e8 | + | 4.75333e8i | −0.685739 | + | 0.760500i | ||||
\(856\) | −3.58005e8 | − | 1.05120e8i | −0.570779 | − | 0.167596i | ||||
\(857\) | 1.07932e8 | + | 4.92911e7i | 0.171478 | + | 0.0783115i | 0.499305 | − | 0.866426i | \(-0.333589\pi\) |
−0.327826 | + | 0.944738i | \(0.606316\pi\) | |||||||
\(858\) | −8.29490e6 | + | 1.48406e7i | −0.0131326 | + | 0.0234958i | ||||
\(859\) | −1.42249e7 | + | 9.89362e7i | −0.0224424 | + | 0.156090i | −0.997961 | − | 0.0638266i | \(-0.979670\pi\) |
0.975519 | + | 0.219917i | \(0.0705786\pi\) | |||||||
\(860\) | −1.80326e8 | − | 6.14132e8i | −0.283506 | − | 0.965532i | ||||
\(861\) | 5.21067e7 | − | 6.81921e7i | 0.0816365 | − | 0.106838i | ||||
\(862\) | 1.13857e9 | − | 7.31715e8i | 1.77762 | − | 1.14240i | ||||
\(863\) | −4.60046e8 | − | 7.15845e8i | −0.715762 | − | 1.11375i | −0.988436 | − | 0.151641i | \(-0.951544\pi\) |
0.272674 | − | 0.962107i | \(-0.412092\pi\) | |||||||
\(864\) | −2.05167e8 | + | 8.24700e8i | −0.318102 | + | 1.27866i | ||||
\(865\) | 6.34787e8 | − | 1.86390e8i | 0.980799 | − | 0.287989i | ||||
\(866\) | −1.09790e8 | − | 1.57854e7i | −0.169047 | − | 0.0243053i | ||||
\(867\) | −2.36603e7 | + | 4.23313e7i | −0.0363048 | + | 0.0649538i | ||||
\(868\) | 4.44734e8 | − | 9.73831e8i | 0.680050 | − | 1.48910i | ||||
\(869\) | −1.24757e8 | + | 4.24882e8i | −0.190110 | + | 0.647455i | ||||
\(870\) | 3.24468e8 | − | 2.37930e8i | 0.492736 | − | 0.361320i | ||||
\(871\) | 299512. | + | 2.08315e6i | 0.000453273 | + | 0.00315258i | ||||
\(872\) | −1.61920e8 | + | 2.51953e8i | −0.244204 | + | 0.379988i | ||||
\(873\) | 6.67658e8 | − | 2.89111e8i | 1.00349 | − | 0.434533i | ||||
\(874\) | 1.26793e9 | + | 9.62529e8i | 1.89916 | + | 1.44172i | ||||
\(875\) | − | 1.05613e9i | − | 1.57649i | ||||||
\(876\) | −8.50074e8 | − | 3.26660e8i | −1.26457 | − | 0.485942i | ||||
\(877\) | −2.91259e7 | − | 2.02575e8i | −0.0431798 | − | 0.300322i | −0.999955 | − | 0.00949350i | \(-0.996978\pi\) |
0.956775 | − | 0.290829i | \(-0.0939310\pi\) | |||||||
\(878\) | 1.62072e9 | − | 7.40157e8i | 2.39455 | − | 1.09355i | ||||
\(879\) | −7.50220e7 | + | 9.21018e8i | −0.110464 | + | 1.35613i | ||||
\(880\) | −7.54571e7 | + | 1.65228e8i | −0.110727 | + | 0.242458i | ||||
\(881\) | 6.46796e8 | + | 5.60452e8i | 0.945887 | + | 0.819616i | 0.983727 | − | 0.179668i | \(-0.0575023\pi\) |
−0.0378402 | + | 0.999284i | \(0.512048\pi\) | |||||||
\(882\) | −1.35126e9 | + | 3.67936e8i | −1.96939 | + | 0.536249i | ||||
\(883\) | 1.61071e8 | − | 4.72946e7i | 0.233956 | − | 0.0686957i | −0.162653 | − | 0.986683i | \(-0.552005\pi\) |
0.396609 | + | 0.917988i | \(0.370187\pi\) | |||||||
\(884\) | −1.41867e7 | + | 1.22929e7i | −0.0205365 | + | 0.0177949i | ||||
\(885\) | −2.02151e8 | + | 1.98197e8i | −0.291639 | + | 0.285935i | ||||
\(886\) | −4.62576e8 | + | 2.97280e8i | −0.665093 | + | 0.427429i | ||||
\(887\) | −3.57781e8 | + | 3.10019e8i | −0.512681 | + | 0.444240i | −0.872380 | − | 0.488828i | \(-0.837425\pi\) |
0.359700 | + | 0.933068i | \(0.382879\pi\) | |||||||
\(888\) | 1.26940e7 | + | 2.38033e7i | 0.0181284 | + | 0.0339937i | ||||
\(889\) | −2.57068e8 | + | 1.78795e9i | −0.365884 | + | 2.54478i | ||||
\(890\) | 3.97385e8 | + | 3.44336e8i | 0.563691 | + | 0.488441i | ||||
\(891\) | 5.58703e8 | − | 2.28936e8i | 0.789856 | − | 0.323654i | ||||
\(892\) | 4.46302e8 | + | 1.31046e8i | 0.628831 | + | 0.184641i | ||||
\(893\) | −1.45739e9 | + | 6.65567e8i | −2.04654 | + | 0.934625i | ||||
\(894\) | −6.88013e8 | − | 1.90179e9i | −0.962906 | − | 2.66164i | ||||
\(895\) | −7.99662e7 | − | 5.13911e7i | −0.111542 | − | 0.0716835i | ||||
\(896\) | 1.19993e9i | 1.66814i | ||||||||
\(897\) | 1.25343e7 | − | 7.76442e6i | 0.0173670 | − | 0.0107580i | ||||
\(898\) | 4.82402e8 | 0.666163 | ||||||||
\(899\) | −1.82253e8 | + | 2.83591e8i | −0.250839 | + | 0.390313i | ||||
\(900\) | 2.96009e8 | + | 4.81240e8i | 0.406048 | + | 0.660137i | ||||
\(901\) | −4.17518e8 | − | 9.14238e8i | −0.570823 | − | 1.24993i | ||||
\(902\) | −2.40356e7 | + | 8.18579e7i | −0.0327519 | + | 0.111543i | ||||
\(903\) | 2.73756e8 | − | 1.20120e9i | 0.371793 | − | 1.63137i | ||||
\(904\) | 2.52936e8 | − | 2.91904e8i | 0.342378 | − | 0.395125i | ||||
\(905\) | 4.27102e8 | + | 6.14080e7i | 0.576217 | + | 0.0828475i | ||||
\(906\) | 7.58858e8 | + | 1.42298e9i | 1.02041 | + | 1.91343i | ||||
\(907\) | 6.54351e8 | + | 7.55162e8i | 0.876979 | + | 1.01209i | 0.999807 | + | 0.0196594i | \(0.00625819\pi\) |
−0.122828 | + | 0.992428i | \(0.539196\pi\) | |||||||
\(908\) | 5.46653e8 | + | 8.50609e8i | 0.730221 | + | 1.13625i | ||||
\(909\) | 1.12718e9 | + | 7.56266e8i | 1.50073 | + | 1.00689i | ||||
\(910\) | 1.57201e7 | + | 1.81420e7i | 0.0208609 | + | 0.0240747i | ||||
\(911\) | −1.78929e8 | − | 6.09377e8i | −0.236661 | − | 0.805992i | −0.989089 | − | 0.147318i | \(-0.952936\pi\) |
0.752429 | − | 0.658674i | \(-0.228882\pi\) | |||||||
\(912\) | 3.39372e7 | + | 5.50916e8i | 0.0447395 | + | 0.726275i | ||||
\(913\) | −4.82227e8 | + | 5.56519e8i | −0.633634 | + | 0.731253i | ||||
\(914\) | 1.49001e9 | + | 6.80466e8i | 1.95142 | + | 0.891185i | ||||
\(915\) | 7.18219e7 | − | 8.81733e8i | 0.0937549 | − | 1.15100i | ||||
\(916\) | 1.76178e8 | + | 3.85776e8i | 0.229227 | + | 0.501936i | ||||
\(917\) | 1.85128e7 | − | 2.66174e6i | 0.0240084 | − | 0.00345189i | ||||
\(918\) | 1.14784e9 | − | 4.79747e7i | 1.48373 | − | 0.0620132i | ||||
\(919\) | 6.10511e8 | 0.786587 | 0.393294 | − | 0.919413i | \(-0.371336\pi\) | ||||
0.393294 | + | 0.919413i | \(0.371336\pi\) | |||||||
\(920\) | −2.45253e8 | + | 1.81034e8i | −0.314956 | + | 0.232486i | ||||
\(921\) | −5.21588e8 | + | 1.08081e8i | −0.667649 | + | 0.138347i | ||||
\(922\) | −6.84642e8 | − | 4.39993e8i | −0.873515 | − | 0.561374i | ||||
\(923\) | −1.30495e7 | + | 1.87623e6i | −0.0165954 | + | 0.00238606i | ||||
\(924\) | 1.14415e9 | − | 8.38994e8i | 1.45033 | − | 1.06351i | ||||
\(925\) | −2.77710e7 | − | 8.15429e6i | −0.0350886 | − | 0.0103029i | ||||
\(926\) | −1.33693e9 | − | 6.10556e8i | −1.68374 | − | 0.768940i | ||||
\(927\) | 9.92994e7 | − | 3.15026e8i | 0.124654 | − | 0.395465i | ||||
\(928\) | 8.94887e7 | − | 6.22407e8i | 0.111976 | − | 0.778809i | ||||
\(929\) | 2.11094e8 | + | 7.18921e8i | 0.263287 | + | 0.896673i | 0.979948 | + | 0.199252i | \(0.0638512\pi\) |
−0.716661 | + | 0.697421i | \(0.754331\pi\) | |||||||
\(930\) | 5.08122e8 | + | 3.88265e8i | 0.631712 | + | 0.482702i | ||||
\(931\) | −1.38666e9 | + | 8.91152e8i | −1.71839 | + | 1.10434i | ||||
\(932\) | −4.37874e8 | − | 6.81346e8i | −0.540881 | − | 0.841627i | ||||
\(933\) | −2.00127e6 | + | 2.61906e6i | −0.00246411 | + | 0.00322478i | ||||
\(934\) | −1.24873e9 | + | 3.66660e8i | −1.53260 | + | 0.450011i | ||||
\(935\) | 4.40456e8 | + | 6.33280e7i | 0.538849 | + | 0.0774748i | ||||
\(936\) | −9.43524e6 | − | 2.97408e6i | −0.0115060 | − | 0.00362681i | ||||
\(937\) | −2.10796e8 | + | 4.61578e8i | −0.256237 | + | 0.561082i | −0.993409 | − | 0.114624i | \(-0.963434\pi\) |
0.737171 | + | 0.675706i | \(0.236161\pi\) | |||||||
\(938\) | 8.52693e7 | − | 2.90401e8i | 0.103320 | − | 0.351875i | ||||
\(939\) | 4.46597e8 | + | 6.09030e8i | 0.539410 | + | 0.735600i | ||||
\(940\) | −1.57788e8 | − | 1.09744e9i | −0.189972 | − | 1.32129i | ||||
\(941\) | −5.23668e8 | + | 8.14844e8i | −0.628474 | + | 0.977925i | 0.370324 | + | 0.928903i | \(0.379247\pi\) |
−0.998798 | + | 0.0490220i | \(0.984390\pi\) | |||||||
\(942\) | −4.86503e7 | − | 2.34782e8i | −0.0582013 | − | 0.280874i | ||||
\(943\) | 5.26676e7 | − | 5.19642e7i | 0.0628070 | − | 0.0619682i | ||||
\(944\) | 2.44146e8i | 0.290224i | ||||||||
\(945\) | −3.56006e7 | − | 8.51780e8i | −0.0421854 | − | 1.00933i | ||||
\(946\) | 1.74295e8 | + | 1.21225e9i | 0.205878 | + | 1.43192i | ||||
\(947\) | −1.47138e9 | + | 6.71955e8i | −1.73250 | + | 0.791207i | −0.739493 | + | 0.673165i | \(0.764935\pi\) |
−0.993009 | + | 0.118042i | \(0.962338\pi\) | |||||||
\(948\) | −9.28101e8 | − | 7.55989e7i | −1.08936 | − | 0.0887340i | ||||
\(949\) | −7.10707e6 | + | 1.55623e7i | −0.00831557 | + | 0.0182086i | ||||
\(950\) | 8.66064e8 | + | 7.50449e8i | 1.01013 | + | 0.875287i | ||||
\(951\) | −1.36902e9 | + | 8.43335e7i | −1.59172 | + | 0.0980525i | ||||
\(952\) | 7.16754e8 | − | 2.10458e8i | 0.830729 | − | 0.243924i | ||||
\(953\) | −6.87170e8 | + | 5.95436e8i | −0.793936 | + | 0.687950i | −0.954215 | − | 0.299122i | \(-0.903306\pi\) |
0.160279 | + | 0.987072i | \(0.448761\pi\) | |||||||
\(954\) | 1.06648e9 | − | 1.58954e9i | 1.22831 | − | 1.83074i | ||||
\(955\) | −6.22021e8 | + | 3.99748e8i | −0.714158 | + | 0.458962i | ||||
\(956\) | 5.53486e8 | − | 4.79598e8i | 0.633480 | − | 0.548913i | ||||
\(957\) | −3.94201e8 | + | 2.10223e8i | −0.449761 | + | 0.239853i | ||||
\(958\) | −6.51487e7 | + | 4.53119e8i | −0.0740985 | + | 0.515366i | ||||
\(959\) | −6.46073e8 | − | 5.59826e8i | −0.732531 | − | 0.634742i | ||||
\(960\) | −8.93655e8 | − | 2.03667e8i | −1.01008 | − | 0.230200i | ||||
\(961\) | 3.37480e8 | + | 9.90932e7i | 0.380258 | + | 0.111654i | ||||
\(962\) | 1.66596e6 | − | 760817.i | 0.00187128 | − | 0.000854585i | ||||
\(963\) | 7.66266e8 | − | 4.71328e8i | 0.858027 | − | 0.527770i | ||||
\(964\) | −1.57910e9 | − | 1.01483e9i | −1.76271 | − | 1.13282i | ||||
\(965\) | − | 3.83327e7i | − | 0.0426567i | ||||||
\(966\) | −2.10353e9 | + | 2.66887e8i | −2.33355 | + | 0.296071i | ||||
\(967\) | 1.13479e8 | 0.125498 | 0.0627490 | − | 0.998029i | \(-0.480013\pi\) | ||||
0.0627490 | + | 0.998029i | \(0.480013\pi\) | |||||||
\(968\) | 7.85871e7 | − | 1.22284e8i | 0.0866414 | − | 0.134817i | ||||
\(969\) | 1.27153e9 | − | 4.60004e8i | 1.39751 | − | 0.505581i | ||||
\(970\) | 4.24229e8 | + | 9.28932e8i | 0.464820 | + | 1.01781i | ||||
\(971\) | 5.04683e8 | − | 1.71879e9i | 0.551266 | − | 1.87744i | 0.0770575 | − | 0.997027i | \(-0.475448\pi\) |
0.474208 | − | 0.880413i | \(-0.342734\pi\) | |||||||
\(972\) | 7.09783e8 | + | 1.05274e9i | 0.772906 | + | 1.14636i | ||||
\(973\) | −2.68578e8 | + | 3.09956e8i | −0.291563 | + | 0.336482i | ||||
\(974\) | 6.16772e8 | + | 8.86784e7i | 0.667494 | + | 0.0959712i | ||||
\(975\) | 9.36559e6 | − | 4.99456e6i | 0.0101046 | − | 0.00538869i | ||||
\(976\) | −4.99605e8 | − | 5.76575e8i | −0.537375 | − | 0.620164i | ||||
\(977\) | −5.52554e8 | − | 8.59791e8i | −0.592504 | − | 0.921954i | −0.999962 | − | 0.00873004i | \(-0.997221\pi\) |
0.407458 | − | 0.913224i | \(-0.366415\pi\) | |||||||
\(978\) | 2.56240e8 | + | 2.61352e8i | 0.273924 | + | 0.279389i | ||||
\(979\) | −3.82330e8 | − | 4.41233e8i | −0.407465 | − | 0.470240i | ||||
\(980\) | −3.21362e8 | − | 1.09446e9i | −0.341441 | − | 1.16284i | ||||
\(981\) | −1.89718e8 | − | 6.96743e8i | −0.200956 | − | 0.738016i | ||||
\(982\) | 3.39468e8 | − | 3.91767e8i | 0.358480 | − | 0.413708i | ||||
\(983\) | −4.44442e7 | − | 2.02970e7i | −0.0467901 | − | 0.0213683i | 0.391883 | − | 0.920015i | \(-0.371824\pi\) |
−0.438673 | + | 0.898647i | \(0.644551\pi\) | |||||||
\(984\) | −4.94788e7 | − | 4.03032e6i | −0.0519319 | − | 0.00423013i | ||||
\(985\) | −2.67855e8 | − | 5.86520e8i | −0.280279 | − | 0.613726i | ||||
\(986\) | −8.41395e8 | + | 1.20974e8i | −0.877747 | + | 0.126201i | ||||
\(987\) | 7.65500e8 | − | 1.99207e9i | 0.796148 | − | 2.07183i | ||||
\(988\) | −4.20789e7 | −0.0436308 | ||||||||
\(989\) | 3.77854e8 | − | 9.92636e8i | 0.390603 | − | 1.02613i | ||||
\(990\) | 3.36762e8 | + | 7.77701e8i | 0.347071 | + | 0.801506i | ||||
\(991\) | −1.93273e8 | − | 1.24209e8i | −0.198587 | − | 0.127624i | 0.437568 | − | 0.899185i | \(-0.355840\pi\) |
−0.636155 | + | 0.771561i | \(0.719476\pi\) | |||||||
\(992\) | 9.89220e8 | − | 1.42228e8i | 1.01335 | − | 0.145697i | ||||
\(993\) | −5.74475e8 | − | 7.83419e8i | −0.586710 | − | 0.800104i | ||||
\(994\) | 1.81916e9 | + | 5.34153e8i | 1.85230 | + | 0.543884i | ||||
\(995\) | 3.53846e8 | + | 1.61596e8i | 0.359207 | + | 0.164044i | ||||
\(996\) | −1.35168e9 | − | 7.55495e8i | −1.36803 | − | 0.764634i | ||||
\(997\) | 9.75738e7 | − | 6.78641e8i | 0.0984573 | − | 0.684786i | −0.879487 | − | 0.475922i | \(-0.842114\pi\) |
0.977945 | − | 0.208864i | \(-0.0669765\pi\) | |||||||
\(998\) | −5.09577e8 | − | 1.73546e9i | −0.512647 | − | 1.74591i | ||||
\(999\) | −6.31187e7 | − | 1.57025e7i | −0.0633084 | − | 0.0157497i |
(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.2.7 | ✓ | 460 | |
3.2 | odd | 2 | inner | 69.7.h.a.2.40 | yes | 460 | |
23.12 | even | 11 | inner | 69.7.h.a.35.40 | yes | 460 | |
69.35 | odd | 22 | inner | 69.7.h.a.35.7 | yes | 460 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.7.h.a.2.7 | ✓ | 460 | 1.1 | even | 1 | trivial | |
69.7.h.a.2.40 | yes | 460 | 3.2 | odd | 2 | inner | |
69.7.h.a.35.7 | yes | 460 | 69.35 | odd | 22 | inner | |
69.7.h.a.35.40 | yes | 460 | 23.12 | even | 11 | inner |