Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,8,Mod(25,91)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(91, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 3]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.25");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.r (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(28.4270373191\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 25.17 | ||
Character | \(\chi\) | \(=\) | 91.25 |
Dual form | 91.8.r.a.51.17 |
$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −10.9207 | + | 6.30508i | −0.965265 | + | 0.557296i | −0.897789 | − | 0.440425i | \(-0.854828\pi\) |
−0.0674754 | + | 0.997721i | \(0.521494\pi\) | |||||||
\(3\) | −7.65371 | + | 13.2566i | −0.163662 | + | 0.283471i | −0.936179 | − | 0.351523i | \(-0.885664\pi\) |
0.772517 | + | 0.634994i | \(0.218997\pi\) | |||||||
\(4\) | 15.5082 | − | 26.8609i | 0.121157 | − | 0.209851i | ||||
\(5\) | 37.8419 | − | 21.8480i | 0.135387 | − | 0.0781658i | −0.430777 | − | 0.902459i | \(-0.641760\pi\) |
0.566164 | + | 0.824293i | \(0.308427\pi\) | |||||||
\(6\) | − | 193.029i | − | 0.364832i | ||||||
\(7\) | −534.194 | + | 733.608i | −0.588648 | + | 0.808389i | ||||
\(8\) | − | 1222.98i | − | 0.844510i | ||||||
\(9\) | 976.341 | + | 1691.07i | 0.446430 | + | 0.773239i | ||||
\(10\) | −275.507 | + | 477.192i | −0.0871230 | + | 0.150901i | ||||
\(11\) | 2780.19 | + | 1605.14i | 0.629797 | + | 0.363613i | 0.780673 | − | 0.624939i | \(-0.214876\pi\) |
−0.150877 | + | 0.988553i | \(0.548210\pi\) | |||||||
\(12\) | 237.390 | + | 411.171i | 0.0396577 | + | 0.0686892i | ||||
\(13\) | −7921.40 | − | 3.49801i | −1.00000 | − | 0.000441591i | ||||
\(14\) | 1208.33 | − | 11379.7i | 0.117689 | − | 1.10836i | ||||
\(15\) | 668.873i | 0.0511711i | ||||||||
\(16\) | 9696.04 | + | 16794.0i | 0.591799 | + | 1.02503i | ||||
\(17\) | −11334.8 | + | 19632.5i | −0.559556 | + | 0.969180i | 0.437977 | + | 0.898986i | \(0.355695\pi\) |
−0.997533 | + | 0.0701939i | \(0.977638\pi\) | |||||||
\(18\) | −21324.7 | − | 12311.8i | −0.861845 | − | 0.497587i | ||||
\(19\) | −8795.81 | + | 5078.26i | −0.294197 | + | 0.169855i | −0.639833 | − | 0.768514i | \(-0.720996\pi\) |
0.345636 | + | 0.938369i | \(0.387663\pi\) | |||||||
\(20\) | − | 1355.29i | − | 0.0378815i | ||||||
\(21\) | −5636.59 | − | 12696.4i | −0.132815 | − | 0.299167i | ||||
\(22\) | −40482.3 | −0.810561 | ||||||||
\(23\) | 46168.0 | + | 79965.4i | 0.791214 | + | 1.37042i | 0.925215 | + | 0.379442i | \(0.123884\pi\) |
−0.134001 | + | 0.990981i | \(0.542783\pi\) | |||||||
\(24\) | 16212.6 | + | 9360.34i | 0.239394 | + | 0.138214i | ||||
\(25\) | −38107.8 | + | 66004.7i | −0.487780 | + | 0.844860i | ||||
\(26\) | 86529.4 | − | 49906.9i | 0.965511 | − | 0.556870i | ||||
\(27\) | −63367.9 | −0.619578 | ||||||||
\(28\) | 11421.0 | + | 25725.8i | 0.0983221 | + | 0.221471i | ||||
\(29\) | 14743.7 | 0.112257 | 0.0561285 | − | 0.998424i | \(-0.482124\pi\) | ||||
0.0561285 | + | 0.998424i | \(0.482124\pi\) | |||||||
\(30\) | −4217.30 | − | 7304.58i | −0.0285174 | − | 0.0493936i | ||||
\(31\) | −205488. | − | 118639.i | −1.23886 | − | 0.715254i | −0.269996 | − | 0.962862i | \(-0.587022\pi\) |
−0.968860 | + | 0.247608i | \(0.920356\pi\) | |||||||
\(32\) | −76206.6 | − | 43997.9i | −0.411119 | − | 0.237360i | ||||
\(33\) | −42557.6 | + | 24570.6i | −0.206148 | + | 0.119019i | ||||
\(34\) | − | 285868.i | − | 1.24735i | ||||||
\(35\) | −4187.02 | + | 39432.1i | −0.0165070 | + | 0.155458i | ||||
\(36\) | 60565.0 | 0.216353 | ||||||||
\(37\) | 408067. | − | 235597.i | 1.32442 | − | 0.764653i | 0.339988 | − | 0.940430i | \(-0.389577\pi\) |
0.984430 | + | 0.175777i | \(0.0562438\pi\) | |||||||
\(38\) | 64037.7 | − | 110917.i | 0.189319 | − | 0.327909i | ||||
\(39\) | 60674.4 | − | 104984.i | 0.163787 | − | 0.283398i | ||||
\(40\) | −26719.7 | − | 46279.9i | −0.0660118 | − | 0.114336i | ||||
\(41\) | − | 280765.i | − | 0.636209i | −0.948056 | − | 0.318104i | \(-0.896954\pi\) | ||
0.948056 | − | 0.318104i | \(-0.103046\pi\) | |||||||
\(42\) | 141608. | + | 103115.i | 0.294927 | + | 0.214758i | ||||
\(43\) | −16564.7 | −0.0317720 | −0.0158860 | − | 0.999874i | \(-0.505057\pi\) | ||||
−0.0158860 | + | 0.999874i | \(0.505057\pi\) | |||||||
\(44\) | 86231.3 | − | 49785.7i | 0.152609 | − | 0.0881089i | ||||
\(45\) | 73893.2 | + | 42662.2i | 0.120882 | + | 0.0697911i | ||||
\(46\) | −1.00838e6 | − | 582187.i | −1.52746 | − | 0.881881i | ||||
\(47\) | 93465.3 | − | 53962.2i | 0.131313 | − | 0.0758136i | −0.432904 | − | 0.901440i | \(-0.642511\pi\) |
0.564218 | + | 0.825626i | \(0.309178\pi\) | |||||||
\(48\) | −296843. | −0.387420 | ||||||||
\(49\) | −252817. | − | 783777.i | −0.306987 | − | 0.951714i | ||||
\(50\) | − | 961092.i | − | 1.08735i | ||||||
\(51\) | −173507. | − | 300523.i | −0.183156 | − | 0.317236i | ||||
\(52\) | −122940. | + | 212722.i | −0.121250 | + | 0.209797i | ||||
\(53\) | 661121. | − | 1.14510e6i | 0.609980 | − | 1.05652i | −0.381263 | − | 0.924467i | \(-0.624511\pi\) |
0.991243 | − | 0.132050i | \(-0.0421558\pi\) | |||||||
\(54\) | 692023. | − | 399540.i | 0.598057 | − | 0.345288i | ||||
\(55\) | 140277. | 0.113689 | ||||||||
\(56\) | 897188. | + | 653309.i | 0.682693 | + | 0.497119i | ||||
\(57\) | − | 155470.i | − | 0.111195i | ||||||
\(58\) | −161012. | + | 92960.2i | −0.108358 | + | 0.0625604i | ||||
\(59\) | −1.27861e6 | − | 738207.i | −0.810507 | − | 0.467946i | 0.0366250 | − | 0.999329i | \(-0.488339\pi\) |
−0.847132 | + | 0.531383i | \(0.821673\pi\) | |||||||
\(60\) | 17966.5 | + | 10373.0i | 0.0107383 | + | 0.00619976i | ||||
\(61\) | −850620. | − | 1.47332e6i | −0.479823 | − | 0.831078i | 0.519909 | − | 0.854222i | \(-0.325966\pi\) |
−0.999732 | + | 0.0231437i | \(0.992632\pi\) | |||||||
\(62\) | 2.99211e6 | 1.59443 | ||||||||
\(63\) | −1.76214e6 | − | 187109.i | −0.887868 | − | 0.0942765i | ||||
\(64\) | −1.37254e6 | −0.654480 | ||||||||
\(65\) | −299837. | + | 172934.i | −0.135422 | + | 0.0781060i | ||||
\(66\) | 309840. | − | 536658.i | 0.132658 | − | 0.229770i | ||||
\(67\) | 856771. | + | 494657.i | 0.348019 | + | 0.200929i | 0.663812 | − | 0.747899i | \(-0.268937\pi\) |
−0.315794 | + | 0.948828i | \(0.602271\pi\) | |||||||
\(68\) | 351565. | + | 608928.i | 0.135589 | + | 0.234847i | ||||
\(69\) | −1.41343e6 | −0.517967 | ||||||||
\(70\) | −202898. | − | 457027.i | −0.0707023 | − | 0.159257i | ||||
\(71\) | − | 3.08661e6i | − | 1.02348i | −0.859141 | − | 0.511738i | \(-0.829002\pi\) | ||
0.859141 | − | 0.511738i | \(-0.170998\pi\) | |||||||
\(72\) | 2.06815e6 | − | 1.19405e6i | 0.653007 | − | 0.377014i | ||||
\(73\) | 2.70745e6 | + | 1.56314e6i | 0.814573 | + | 0.470294i | 0.848541 | − | 0.529129i | \(-0.177481\pi\) |
−0.0339686 | + | 0.999423i | \(0.510815\pi\) | |||||||
\(74\) | −2.97092e6 | + | 5.14579e6i | −0.852276 | + | 1.47619i | ||||
\(75\) | −583333. | − | 1.01036e6i | −0.159662 | − | 0.276543i | ||||
\(76\) | 315018.i | 0.0823166i | ||||||||
\(77\) | −2.66271e6 | + | 1.18211e6i | −0.664670 | + | 0.295081i | ||||
\(78\) | −675.219 | + | 1.52906e6i | −0.000161107 | + | 0.364832i | ||||
\(79\) | 1.25107e6 | + | 2.16692e6i | 0.285487 | + | 0.494478i | 0.972727 | − | 0.231952i | \(-0.0745113\pi\) |
−0.687240 | + | 0.726430i | \(0.741178\pi\) | |||||||
\(80\) | 733832. | + | 423678.i | 0.160244 | + | 0.0925169i | ||||
\(81\) | −1.65026e6 | + | 2.85833e6i | −0.345028 | + | 0.597606i | ||||
\(82\) | 1.77025e6 | + | 3.06616e6i | 0.354556 | + | 0.614110i | ||||
\(83\) | 4.71859e6i | 0.905813i | 0.891558 | + | 0.452907i | \(0.149613\pi\) | ||||
−0.891558 | + | 0.452907i | \(0.850387\pi\) | |||||||
\(84\) | −428450. | − | 45494.2i | −0.0788721 | − | 0.00837487i | ||||
\(85\) | 990574.i | 0.174953i | ||||||||
\(86\) | 180899. | − | 104442.i | 0.0306684 | − | 0.0177064i | ||||
\(87\) | −112844. | + | 195452.i | −0.0183722 | + | 0.0318216i | ||||
\(88\) | 1.96306e6 | − | 3.40012e6i | 0.307075 | − | 0.531869i | ||||
\(89\) | −1.05933e7 | + | 6.11604e6i | −1.59282 | + | 0.919613i | −0.599996 | + | 0.800003i | \(0.704831\pi\) |
−0.992821 | + | 0.119610i | \(0.961836\pi\) | |||||||
\(90\) | −1.07596e6 | −0.155577 | ||||||||
\(91\) | 4.23413e6 | − | 5.80933e6i | 0.589005 | − | 0.808129i | ||||
\(92\) | 2.86392e6 | 0.383446 | ||||||||
\(93\) | 3.14549e6 | − | 1.81605e6i | 0.405507 | − | 0.234120i | ||||
\(94\) | −680472. | + | 1.17861e6i | −0.0845012 | + | 0.146360i | ||||
\(95\) | −221900. | + | 384342.i | −0.0265537 | + | 0.0459923i | ||||
\(96\) | 1.16653e6 | − | 673494.i | 0.134569 | − | 0.0776935i | ||||
\(97\) | 3.81468e6i | 0.424382i | 0.977228 | + | 0.212191i | \(0.0680598\pi\) | ||||
−0.977228 | + | 0.212191i | \(0.931940\pi\) | |||||||
\(98\) | 7.70273e6 | + | 6.96538e6i | 0.826710 | + | 0.747573i | ||||
\(99\) | 6.26868e6i | 0.649311i | ||||||||
\(100\) | 1.18196e6 | + | 2.04722e6i | 0.118196 | + | 0.204722i | ||||
\(101\) | 4.43765e6 | − | 7.68624e6i | 0.428577 | − | 0.742317i | −0.568170 | − | 0.822911i | \(-0.692349\pi\) |
0.996747 | + | 0.0805944i | \(0.0256818\pi\) | |||||||
\(102\) | 3.78965e6 | + | 2.18795e6i | 0.353588 | + | 0.204144i | ||||
\(103\) | −372515. | − | 645215.i | −0.0335903 | − | 0.0581800i | 0.848742 | − | 0.528808i | \(-0.177361\pi\) |
−0.882332 | + | 0.470628i | \(0.844027\pi\) | |||||||
\(104\) | −4278.00 | + | 9.68771e6i | −0.000372927 | + | 0.844510i | ||||
\(105\) | −490691. | − | 357308.i | −0.0413662 | − | 0.0301217i | ||||
\(106\) | 1.66737e7i | 1.35976i | ||||||||
\(107\) | −2.03444e6 | − | 3.52375e6i | −0.160547 | − | 0.278075i | 0.774518 | − | 0.632552i | \(-0.217992\pi\) |
−0.935065 | + | 0.354477i | \(0.884659\pi\) | |||||||
\(108\) | −982719. | + | 1.70212e6i | −0.0750665 | + | 0.130019i | ||||
\(109\) | −4.82330e6 | − | 2.78473e6i | −0.356740 | − | 0.205964i | 0.310910 | − | 0.950439i | \(-0.399366\pi\) |
−0.667650 | + | 0.744476i | \(0.732700\pi\) | |||||||
\(110\) | −1.53193e6 | + | 884457.i | −0.109740 | + | 0.0633582i | ||||
\(111\) | 7.21277e6i | 0.500578i | ||||||||
\(112\) | −1.74998e7 | − | 1.85818e6i | −1.17698 | − | 0.124975i | ||||
\(113\) | −1.68688e7 | −1.09979 | −0.549896 | − | 0.835233i | \(-0.685333\pi\) | ||||
−0.549896 | + | 0.835233i | \(0.685333\pi\) | |||||||
\(114\) | 980252. | + | 1.69785e6i | 0.0619685 | + | 0.107333i | ||||
\(115\) | 3.49417e6 | + | 2.01736e6i | 0.214241 | + | 0.123692i | ||||
\(116\) | 228648. | − | 396029.i | 0.0136008 | − | 0.0235572i | ||||
\(117\) | −7.72807e6 | − | 1.33991e7i | −0.446088 | − | 0.773436i | ||||
\(118\) | 1.86178e7 | 1.04314 | ||||||||
\(119\) | −8.34756e6 | − | 1.88029e7i | −0.454093 | − | 1.02285i | ||||
\(120\) | 818019. | 0.0432145 | ||||||||
\(121\) | −4.59061e6 | − | 7.95116e6i | −0.235571 | − | 0.408020i | ||||
\(122\) | 1.85788e7 | + | 1.07265e7i | 0.926313 | + | 0.534807i | ||||
\(123\) | 3.72199e6 | + | 2.14889e6i | 0.180347 | + | 0.104123i | ||||
\(124\) | −6.37348e6 | + | 3.67973e6i | −0.300193 | + | 0.173317i | ||||
\(125\) | 6.74407e6i | 0.308843i | ||||||||
\(126\) | 2.04236e7 | − | 9.06707e6i | 0.909568 | − | 0.403803i | ||||
\(127\) | 2.83122e7 | 1.22648 | 0.613240 | − | 0.789897i | \(-0.289866\pi\) | ||||
0.613240 | + | 0.789897i | \(0.289866\pi\) | |||||||
\(128\) | 2.47436e7 | − | 1.42857e7i | 1.04287 | − | 0.602099i | ||||
\(129\) | 126782. | − | 219592.i | 0.00519987 | − | 0.00900644i | ||||
\(130\) | 2.18407e6 | − | 3.77906e6i | 0.0871896 | − | 0.150863i | ||||
\(131\) | −1.44483e7 | − | 2.50252e7i | −0.561523 | − | 0.972587i | −0.997364 | − | 0.0725632i | \(-0.976882\pi\) |
0.435840 | − | 0.900024i | \(-0.356451\pi\) | |||||||
\(132\) | 1.52418e6i | 0.0576803i | ||||||||
\(133\) | 973215. | − | 9.16545e6i | 0.0358697 | − | 0.337810i | ||||
\(134\) | −1.24754e7 | −0.447907 | ||||||||
\(135\) | −2.39796e6 | + | 1.38446e6i | −0.0838829 | + | 0.0484298i | ||||
\(136\) | 2.40102e7 | + | 1.38623e7i | 0.818482 | + | 0.472551i | ||||
\(137\) | −4.19556e7 | − | 2.42231e7i | −1.39402 | − | 0.804836i | −0.400259 | − | 0.916402i | \(-0.631080\pi\) |
−0.993757 | + | 0.111566i | \(0.964413\pi\) | |||||||
\(138\) | 1.54357e7 | − | 8.91178e6i | 0.499975 | − | 0.288661i | ||||
\(139\) | 2.03246e7 | 0.641904 | 0.320952 | − | 0.947095i | \(-0.395997\pi\) | ||||
0.320952 | + | 0.947095i | \(0.395997\pi\) | |||||||
\(140\) | 994250. | + | 723987.i | 0.0306230 | + | 0.0222989i | ||||
\(141\) | 1.65204e6i | 0.0496312i | ||||||||
\(142\) | 1.94614e7 | + | 3.37081e7i | 0.570379 | + | 0.987926i | ||||
\(143\) | −2.20174e7 | − | 1.27247e7i | −0.629636 | − | 0.363891i | ||||
\(144\) | −1.89333e7 | + | 3.27934e7i | −0.528393 | + | 0.915204i | ||||
\(145\) | 557929. | − | 322120.i | 0.0151982 | − | 0.00877466i | ||||
\(146\) | −3.94230e7 | −1.04837 | ||||||||
\(147\) | 1.23252e7 | + | 2.64731e6i | 0.320025 | + | 0.0687375i | ||||
\(148\) | − | 1.46147e7i | − | 0.370574i | ||||||
\(149\) | 3.04333e7 | − | 1.75706e7i | 0.753696 | − | 0.435147i | −0.0733316 | − | 0.997308i | \(-0.523363\pi\) |
0.827028 | + | 0.562161i | \(0.190030\pi\) | |||||||
\(150\) | 1.27408e7 | + | 7.35592e6i | 0.308232 | + | 0.177958i | ||||
\(151\) | −3.13987e7 | − | 1.81281e7i | −0.742152 | − | 0.428481i | 0.0806995 | − | 0.996738i | \(-0.474285\pi\) |
−0.822851 | + | 0.568257i | \(0.807618\pi\) | |||||||
\(152\) | 6.21062e6 | + | 1.07571e7i | 0.143444 | + | 0.248452i | ||||
\(153\) | −4.42667e7 | −0.999210 | ||||||||
\(154\) | 2.16254e7 | − | 2.96981e7i | 0.477135 | − | 0.655249i | ||||
\(155\) | −1.03681e7 | −0.223634 | ||||||||
\(156\) | −1.87902e6 | − | 3.25788e6i | −0.0396274 | − | 0.0687067i | ||||
\(157\) | −4.00545e7 | + | 6.93764e7i | −0.826043 | + | 1.43075i | 0.0750772 | + | 0.997178i | \(0.476080\pi\) |
−0.901120 | + | 0.433570i | \(0.857254\pi\) | |||||||
\(158\) | −2.73252e7 | − | 1.57762e7i | −0.551141 | − | 0.318202i | ||||
\(159\) | 1.01201e7 | + | 1.75285e7i | 0.199661 | + | 0.345823i | ||||
\(160\) | −3.84507e6 | −0.0742137 | ||||||||
\(161\) | −8.33259e7 | − | 8.84780e6i | −1.57358 | − | 0.167088i | ||||
\(162\) | − | 4.16201e7i | − | 0.769131i | ||||||
\(163\) | 4.82308e7 | − | 2.78461e7i | 0.872304 | − | 0.503625i | 0.00419075 | − | 0.999991i | \(-0.498666\pi\) |
0.868113 | + | 0.496366i | \(0.165333\pi\) | |||||||
\(164\) | −7.54161e6 | − | 4.35415e6i | −0.133509 | − | 0.0770814i | ||||
\(165\) | −1.07364e6 | + | 1.85960e6i | −0.0186065 | + | 0.0322274i | ||||
\(166\) | −2.97511e7 | − | 5.15304e7i | −0.504806 | − | 0.874350i | ||||
\(167\) | 4.06564e7i | 0.675494i | 0.941237 | + | 0.337747i | \(0.109665\pi\) | ||||
−0.941237 | + | 0.337747i | \(0.890335\pi\) | |||||||
\(168\) | −1.55275e7 | + | 6.89344e6i | −0.252649 | + | 0.112164i | ||||
\(169\) | 6.27485e7 | + | 55418.3i | 1.00000 | + | 0.000883181i | ||||
\(170\) | −6.24565e6 | − | 1.08178e7i | −0.0975004 | − | 0.168876i | ||||
\(171\) | −1.71754e7 | − | 9.91623e6i | −0.262676 | − | 0.151656i | ||||
\(172\) | −256889. | + | 444944.i | −0.00384942 | + | 0.00666739i | ||||
\(173\) | 4.56333e7 | + | 7.90392e7i | 0.670071 | + | 1.16060i | 0.977884 | + | 0.209149i | \(0.0670695\pi\) |
−0.307813 | + | 0.951447i | \(0.599597\pi\) | |||||||
\(174\) | − | 2.84596e6i | − | 0.0409550i | ||||||
\(175\) | −2.80646e7 | − | 6.32155e7i | −0.395845 | − | 0.891642i | ||||
\(176\) | 6.22542e7i | 0.860744i | ||||||||
\(177\) | 1.95722e7 | − | 1.13000e7i | 0.265298 | − | 0.153170i | ||||
\(178\) | 7.71243e7 | − | 1.33583e8i | 1.02499 | − | 1.77534i | ||||
\(179\) | −2.96489e7 | + | 5.13534e7i | −0.386387 | + | 0.669242i | −0.991961 | − | 0.126547i | \(-0.959610\pi\) |
0.605573 | + | 0.795789i | \(0.292944\pi\) | |||||||
\(180\) | 2.29189e6 | − | 1.32323e6i | 0.0292914 | − | 0.0169114i | ||||
\(181\) | 3.53366e7 | 0.442945 | 0.221473 | − | 0.975167i | \(-0.428914\pi\) | ||||
0.221473 | + | 0.975167i | \(0.428914\pi\) | |||||||
\(182\) | −9.61144e6 | + | 9.01386e7i | −0.118179 | + | 1.10831i | ||||
\(183\) | 2.60416e7 | 0.314115 | ||||||||
\(184\) | 9.77961e7 | − | 5.64626e7i | 1.15734 | − | 0.668188i | ||||
\(185\) | 1.02947e7 | − | 1.78309e7i | 0.119539 | − | 0.207048i | ||||
\(186\) | −2.29007e7 | + | 3.96652e7i | −0.260948 | + | 0.451975i | ||||
\(187\) | −6.30260e7 | + | 3.63881e7i | −0.704814 | + | 0.406924i | ||||
\(188\) | − | 3.34742e6i | − | 0.0367415i | ||||||
\(189\) | 3.38507e7 | − | 4.64871e7i | 0.364713 | − | 0.500860i | ||||
\(190\) | − | 5.59639e6i | − | 0.0591930i | ||||||
\(191\) | −5.31069e7 | − | 9.19839e7i | −0.551486 | − | 0.955202i | −0.998168 | − | 0.0605086i | \(-0.980728\pi\) |
0.446682 | − | 0.894693i | \(-0.352606\pi\) | |||||||
\(192\) | 1.05051e7 | − | 1.81953e7i | 0.107113 | − | 0.185526i | ||||
\(193\) | −1.14117e8 | − | 6.58853e7i | −1.14261 | − | 0.659687i | −0.195536 | − | 0.980697i | \(-0.562645\pi\) |
−0.947076 | + | 0.321009i | \(0.895978\pi\) | |||||||
\(194\) | −2.40519e7 | − | 4.16590e7i | −0.236506 | − | 0.409641i | ||||
\(195\) | 2339.73 | − | 5.29841e6i | 2.25967e−5 | − | 0.0511711i | ||||
\(196\) | −2.49737e7 | − | 5.36404e6i | −0.236912 | − | 0.0508857i | ||||
\(197\) | − | 6.23098e7i | − | 0.580664i | −0.956926 | − | 0.290332i | \(-0.906234\pi\) | ||
0.956926 | − | 0.290332i | \(-0.0937657\pi\) | |||||||
\(198\) | −3.95245e7 | − | 6.84585e7i | −0.361858 | − | 0.626757i | ||||
\(199\) | −5.68484e6 | + | 9.84644e6i | −0.0511367 | + | 0.0885714i | −0.890461 | − | 0.455060i | \(-0.849618\pi\) |
0.839324 | + | 0.543632i | \(0.182951\pi\) | |||||||
\(200\) | 8.07225e7 | + | 4.66051e7i | 0.713492 | + | 0.411935i | ||||
\(201\) | −1.31149e7 | + | 7.57192e6i | −0.113915 | + | 0.0657688i | ||||
\(202\) | 1.11919e8i | 0.955376i | ||||||||
\(203\) | −7.87599e6 | + | 1.08161e7i | −0.0660799 | + | 0.0907474i | ||||
\(204\) | −1.07631e7 | −0.0887629 | ||||||||
\(205\) | −6.13416e6 | − | 1.06247e7i | −0.0497298 | − | 0.0861345i | ||||
\(206\) | 8.13626e6 | + | 4.69747e6i | 0.0648470 | + | 0.0374394i | ||||
\(207\) | −9.01516e7 | + | 1.56147e8i | −0.706443 | + | 1.22359i | ||||
\(208\) | −7.67474e7 | − | 1.33066e8i | −0.591346 | − | 1.02529i | ||||
\(209\) | −3.26054e7 | −0.247046 | ||||||||
\(210\) | 7.61155e6 | + | 808218.i | 0.0567160 | + | 0.00602228i | ||||
\(211\) | 2.31536e8 | 1.69679 | 0.848397 | − | 0.529360i | \(-0.177568\pi\) | ||||
0.848397 | + | 0.529360i | \(0.177568\pi\) | |||||||
\(212\) | −2.05055e7 | − | 3.55166e7i | −0.147807 | − | 0.256010i | ||||
\(213\) | 4.09180e7 | + | 2.36240e7i | 0.290126 | + | 0.167504i | ||||
\(214\) | 4.44351e7 | + | 2.56546e7i | 0.309940 | + | 0.178944i | ||||
\(215\) | −626841. | + | 361907.i | −0.00430153 | + | 0.00248349i | ||||
\(216\) | 7.74977e7i | 0.523239i | ||||||||
\(217\) | 1.96805e8 | − | 8.73716e7i | 1.30745 | − | 0.580445i | ||||
\(218\) | 7.02319e7 | 0.459131 | ||||||||
\(219\) | −4.14440e7 | + | 2.39277e7i | −0.266629 | + | 0.153938i | ||||
\(220\) | 2.17544e6 | − | 3.76796e6i | 0.0137742 | − | 0.0238576i | ||||
\(221\) | 8.98564e7 | − | 1.55477e8i | 0.559984 | − | 0.968933i | ||||
\(222\) | −4.54771e7 | − | 7.87687e7i | −0.278970 | − | 0.483191i | ||||
\(223\) | 1.97992e8i | 1.19559i | 0.801651 | + | 0.597793i | \(0.203955\pi\) | ||||
−0.801651 | + | 0.597793i | \(0.796045\pi\) | |||||||
\(224\) | 7.29863e7 | − | 3.24023e7i | 0.433884 | − | 0.192623i | ||||
\(225\) | −1.48825e8 | −0.871038 | ||||||||
\(226\) | 1.84220e8 | − | 1.06359e8i | 1.06159 | − | 0.612909i | ||||
\(227\) | 3.91933e7 | + | 2.26282e7i | 0.222393 | + | 0.128399i | 0.607058 | − | 0.794658i | \(-0.292350\pi\) |
−0.384665 | + | 0.923056i | \(0.625683\pi\) | |||||||
\(228\) | −4.17607e6 | − | 2.41106e6i | −0.0233344 | − | 0.0134721i | ||||
\(229\) | −1.70769e8 | + | 9.85936e7i | −0.939691 | + | 0.542531i | −0.889864 | − | 0.456227i | \(-0.849201\pi\) |
−0.0498277 | + | 0.998758i | \(0.515867\pi\) | |||||||
\(230\) | −5.08785e7 | −0.275732 | ||||||||
\(231\) | 4.70880e6 | − | 4.43460e7i | 0.0251344 | − | 0.236708i | ||||
\(232\) | − | 1.80313e7i | − | 0.0948021i | ||||||
\(233\) | 1.22835e8 | + | 2.12756e8i | 0.636173 | + | 1.10188i | 0.986265 | + | 0.165169i | \(0.0528169\pi\) |
−0.350092 | + | 0.936715i | \(0.613850\pi\) | |||||||
\(234\) | 1.68878e8 | + | 9.76015e7i | 0.861626 | + | 0.497967i | ||||
\(235\) | 2.35793e6 | − | 4.08406e6i | 0.0118521 | − | 0.0205284i | ||||
\(236\) | −3.96578e7 | + | 2.28965e7i | −0.196398 | + | 0.113390i | ||||
\(237\) | −3.83013e7 | −0.186893 | ||||||||
\(238\) | 2.09715e8 | + | 1.52709e8i | 1.00835 | + | 0.734252i | ||||
\(239\) | 2.71669e8i | 1.28720i | 0.765360 | + | 0.643602i | \(0.222561\pi\) | ||||
−0.765360 | + | 0.643602i | \(0.777439\pi\) | |||||||
\(240\) | −1.12331e7 | + | 6.48542e6i | −0.0524517 | + | 0.0302830i | ||||
\(241\) | −1.75003e8 | − | 1.01038e8i | −0.805353 | − | 0.464971i | 0.0399863 | − | 0.999200i | \(-0.487269\pi\) |
−0.845340 | + | 0.534229i | \(0.820602\pi\) | |||||||
\(242\) | 1.00265e8 | + | 5.78883e7i | 0.454776 | + | 0.262565i | ||||
\(243\) | −9.45540e7 | − | 1.63772e8i | −0.422725 | − | 0.732181i | ||||
\(244\) | −5.27662e7 | −0.232537 | ||||||||
\(245\) | −2.66910e7 | − | 2.41360e7i | −0.115954 | − | 0.104854i | ||||
\(246\) | −5.41958e7 | −0.232110 | ||||||||
\(247\) | 6.96928e7 | − | 4.01961e7i | 0.294272 | − | 0.169725i | ||||
\(248\) | −1.45093e8 | + | 2.51308e8i | −0.604039 | + | 1.04623i | ||||
\(249\) | −6.25525e7 | − | 3.61147e7i | −0.256772 | − | 0.148247i | ||||
\(250\) | −4.25219e7 | − | 7.36502e7i | −0.172117 | − | 0.298115i | ||||
\(251\) | −3.31117e8 | −1.32167 | −0.660836 | − | 0.750531i | \(-0.729798\pi\) | ||||
−0.660836 | + | 0.750531i | \(0.729798\pi\) | |||||||
\(252\) | −3.23535e7 | + | 4.44309e7i | −0.127356 | + | 0.174898i | ||||
\(253\) | 2.96426e8i | 1.15078i | ||||||||
\(254\) | −3.09190e8 | + | 1.78511e8i | −1.18388 | + | 0.683512i | ||||
\(255\) | −1.31317e7 | − | 7.58157e6i | −0.0495940 | − | 0.0286331i | ||||
\(256\) | −9.23027e7 | + | 1.59873e8i | −0.343854 | + | 0.595573i | ||||
\(257\) | 5.78582e7 | + | 1.00213e8i | 0.212617 | + | 0.368264i | 0.952533 | − | 0.304436i | \(-0.0984679\pi\) |
−0.739915 | + | 0.672700i | \(0.765135\pi\) | |||||||
\(258\) | 3.19748e6i | 0.0115915i | ||||||||
\(259\) | −4.51506e7 | + | 4.25215e8i | −0.161479 | + | 1.52076i | ||||
\(260\) | −4740.82 | + | 1.07358e7i | −1.67281e−5 | + | 0.0378815i | ||||
\(261\) | 1.43949e7 | + | 2.49327e7i | 0.0501148 | + | 0.0868015i | ||||
\(262\) | 3.15572e8 | + | 1.82196e8i | 1.08404 | + | 0.625869i | ||||
\(263\) | −1.03811e8 | + | 1.79806e8i | −0.351883 | + | 0.609480i | −0.986579 | − | 0.163282i | \(-0.947792\pi\) |
0.634696 | + | 0.772762i | \(0.281125\pi\) | |||||||
\(264\) | 3.00494e7 | + | 5.20471e7i | 0.100513 | + | 0.174094i | ||||
\(265\) | − | 5.77767e7i | − | 0.190718i | ||||||
\(266\) | 4.71607e7 | + | 1.06230e8i | 0.153637 | + | 0.346066i | ||||
\(267\) | − | 1.87242e8i | − | 0.602023i | ||||||
\(268\) | 2.65739e7 | − | 1.53424e7i | 0.0843301 | − | 0.0486880i | ||||
\(269\) | 2.00865e8 | − | 3.47908e8i | 0.629174 | − | 1.08976i | −0.358544 | − | 0.933513i | \(-0.616727\pi\) |
0.987718 | − | 0.156248i | \(-0.0499399\pi\) | |||||||
\(270\) | 1.74583e7 | − | 3.02387e7i | 0.0539795 | − | 0.0934952i | ||||
\(271\) | 4.30155e8 | − | 2.48350e8i | 1.31290 | − | 0.758005i | 0.330327 | − | 0.943867i | \(-0.392841\pi\) |
0.982576 | + | 0.185862i | \(0.0595077\pi\) | |||||||
\(272\) | −4.39612e8 | −1.32458 | ||||||||
\(273\) | 4.46052e7 | + | 1.00593e8i | 0.132683 | + | 0.299226i | ||||
\(274\) | 6.10914e8 | 1.79413 | ||||||||
\(275\) | −2.11894e8 | + | 1.22337e8i | −0.614405 | + | 0.354727i | ||||
\(276\) | −2.19197e7 | + | 3.79659e7i | −0.0627555 | + | 0.108696i | ||||
\(277\) | −2.97408e8 | + | 5.15127e8i | −0.840764 | + | 1.45625i | 0.0484857 | + | 0.998824i | \(0.484560\pi\) |
−0.889250 | + | 0.457422i | \(0.848773\pi\) | |||||||
\(278\) | −2.21959e8 | + | 1.28148e8i | −0.619607 | + | 0.357731i | ||||
\(279\) | − | 4.63327e8i | − | 1.27724i | ||||||
\(280\) | 4.82247e7 | + | 5.12065e6i | 0.131286 | + | 0.0139403i | ||||
\(281\) | − | 2.49441e8i | − | 0.670650i | −0.942102 | − | 0.335325i | \(-0.891154\pi\) | ||
0.942102 | − | 0.335325i | \(-0.108846\pi\) | |||||||
\(282\) | −1.04163e7 | − | 1.80415e7i | −0.0276593 | − | 0.0479072i | ||||
\(283\) | 3.44211e8 | − | 5.96190e8i | 0.902759 | − | 1.56362i | 0.0788618 | − | 0.996886i | \(-0.474871\pi\) |
0.823897 | − | 0.566739i | \(-0.191795\pi\) | |||||||
\(284\) | −8.29092e7 | − | 4.78677e7i | −0.214777 | − | 0.124002i | ||||
\(285\) | −3.39671e6 | − | 5.88328e6i | −0.00869164 | − | 0.0150544i | ||||
\(286\) | 3.20676e8 | + | 141608.i | 0.810561 | + | 0.000357936i | ||||
\(287\) | 2.05971e8 | + | 1.49983e8i | 0.514304 | + | 0.374503i | ||||
\(288\) | − | 1.71828e8i | − | 0.423858i | ||||||
\(289\) | −5.17875e7 | − | 8.96986e7i | −0.126207 | − | 0.218596i | ||||
\(290\) | −4.06199e6 | + | 7.03558e6i | −0.00978016 | + | 0.0169397i | ||||
\(291\) | −5.05697e7 | − | 2.91964e7i | −0.120300 | − | 0.0694551i | ||||
\(292\) | 8.39750e7 | − | 4.84830e7i | 0.197383 | − | 0.113959i | ||||
\(293\) | 7.73202e8i | 1.79579i | 0.440207 | + | 0.897896i | \(0.354905\pi\) | ||||
−0.440207 | + | 0.897896i | \(0.645095\pi\) | |||||||
\(294\) | −1.51292e8 | + | 4.88010e7i | −0.347216 | + | 0.111999i | ||||
\(295\) | −6.45134e7 | −0.146310 | ||||||||
\(296\) | −2.88131e8 | − | 4.99057e8i | −0.645757 | − | 1.11848i | ||||
\(297\) | −1.76175e8 | − | 1.01715e8i | −0.390208 | − | 0.225287i | ||||
\(298\) | −2.21569e8 | + | 3.83768e8i | −0.485011 | + | 0.840064i | ||||
\(299\) | −3.65436e8 | − | 6.33599e8i | −0.790609 | − | 1.37077i | ||||
\(300\) | −3.61856e7 | −0.0773770 | ||||||||
\(301\) | 8.84878e6 | − | 1.21520e7i | 0.0187025 | − | 0.0256842i | ||||
\(302\) | 4.57196e8 | 0.955164 | ||||||||
\(303\) | 6.79290e7 | + | 1.17657e8i | 0.140283 | + | 0.242978i | ||||
\(304\) | −1.70569e8 | − | 9.84780e7i | −0.348211 | − | 0.201040i | ||||
\(305\) | −6.43781e7 | − | 3.71687e7i | −0.129924 | − | 0.0750115i | ||||
\(306\) | 4.83424e8 | − | 2.79105e8i | 0.964502 | − | 0.556856i | ||||
\(307\) | − | 9.42625e8i | − | 1.85932i | −0.368416 | − | 0.929661i | \(-0.620100\pi\) | ||
0.368416 | − | 0.929661i | \(-0.379900\pi\) | |||||||
\(308\) | −9.54109e6 | + | 8.98551e7i | −0.0186067 | + | 0.175233i | ||||
\(309\) | 1.14045e7 | 0.0219898 | ||||||||
\(310\) | 1.13227e8 | − | 6.53716e7i | 0.215866 | − | 0.124630i | ||||
\(311\) | −1.69737e8 | + | 2.93993e8i | −0.319974 | + | 0.554212i | −0.980482 | − | 0.196607i | \(-0.937008\pi\) |
0.660508 | + | 0.750819i | \(0.270341\pi\) | |||||||
\(312\) | −1.28394e8 | − | 7.42037e7i | −0.239333 | − | 0.138320i | ||||
\(313\) | −1.76932e8 | − | 3.06455e8i | −0.326138 | − | 0.564887i | 0.655604 | − | 0.755105i | \(-0.272414\pi\) |
−0.981742 | + | 0.190218i | \(0.939081\pi\) | |||||||
\(314\) | − | 1.01019e9i | − | 1.84140i | ||||||
\(315\) | −7.07706e7 | + | 3.14187e7i | −0.127575 | + | 0.0566371i | ||||
\(316\) | 7.76071e7 | 0.138356 | ||||||||
\(317\) | −2.40722e8 | + | 1.38981e8i | −0.424431 | + | 0.245046i | −0.696972 | − | 0.717099i | \(-0.745470\pi\) |
0.272540 | + | 0.962144i | \(0.412136\pi\) | |||||||
\(318\) | −2.21037e8 | − | 1.27616e8i | −0.385451 | − | 0.222540i | ||||
\(319\) | 4.09903e7 | + | 2.36658e7i | 0.0706991 | + | 0.0408181i | ||||
\(320\) | −5.19396e7 | + | 2.99874e7i | −0.0886082 | + | 0.0511580i | ||||
\(321\) | 6.22841e7 | 0.105102 | ||||||||
\(322\) | 9.65765e8 | − | 4.28752e8i | 1.61204 | − | 0.715667i | ||||
\(323\) | − | 2.30245e8i | − | 0.380173i | ||||||
\(324\) | 5.11850e7 | + | 8.86549e7i | 0.0836055 | + | 0.144809i | ||||
\(325\) | 3.02098e8 | − | 5.22716e8i | 0.488153 | − | 0.844645i | ||||
\(326\) | −3.51144e8 | + | 6.08198e8i | −0.561336 | + | 0.972263i | ||||
\(327\) | 7.38322e7 | − | 4.26271e7i | 0.116769 | − | 0.0674168i | ||||
\(328\) | −3.43370e8 | −0.537284 | ||||||||
\(329\) | −1.03415e7 | + | 9.73931e7i | −0.0160102 | + | 0.150780i | ||||
\(330\) | − | 2.70775e7i | − | 0.0414773i | ||||||
\(331\) | −1.30233e8 | + | 7.51900e7i | −0.197389 | + | 0.113963i | −0.595437 | − | 0.803402i | \(-0.703021\pi\) |
0.398048 | + | 0.917365i | \(0.369688\pi\) | |||||||
\(332\) | 1.26746e8 | + | 7.31766e7i | 0.190086 | + | 0.109746i | ||||
\(333\) | 7.96825e8 | + | 4.60047e8i | 1.18252 | + | 0.682727i | ||||
\(334\) | −2.56342e8 | − | 4.43998e8i | −0.376450 | − | 0.652031i | ||||
\(335\) | 4.32291e7 | 0.0628230 | ||||||||
\(336\) | 1.58572e8 | − | 2.17766e8i | 0.228054 | − | 0.313186i | ||||
\(337\) | −2.39652e8 | −0.341095 | −0.170548 | − | 0.985349i | \(-0.554554\pi\) | ||||
−0.170548 | + | 0.985349i | \(0.554554\pi\) | |||||||
\(338\) | −6.85608e8 | + | 3.95029e8i | −0.965757 | + | 0.556443i | ||||
\(339\) | 1.29109e8 | − | 2.23624e8i | 0.179994 | − | 0.311759i | ||||
\(340\) | 2.66077e7 | + | 1.53620e7i | 0.0367140 | + | 0.0211968i | ||||
\(341\) | −3.80864e8 | − | 6.59677e8i | −0.520152 | − | 0.900929i | ||||
\(342\) | 2.50091e8 | 0.338070 | ||||||||
\(343\) | 7.10038e8 | + | 2.33220e8i | 0.950063 | + | 0.312059i | ||||
\(344\) | 2.02584e7i | 0.0268318i | ||||||||
\(345\) | −5.34867e7 | + | 3.08806e7i | −0.0701260 | + | 0.0404873i | ||||
\(346\) | −9.96697e8 | − | 5.75444e8i | −1.29359 | − | 0.746855i | ||||
\(347\) | 5.27556e8 | − | 9.13754e8i | 0.677822 | − | 1.17402i | −0.297814 | − | 0.954624i | \(-0.596257\pi\) |
0.975635 | − | 0.219398i | \(-0.0704093\pi\) | |||||||
\(348\) | 3.50000e6 | + | 6.06218e6i | 0.00445186 | + | 0.00771084i | ||||
\(349\) | − | 1.01767e9i | − | 1.28150i | −0.767751 | − | 0.640748i | \(-0.778624\pi\) | ||
0.767751 | − | 0.640748i | \(-0.221376\pi\) | |||||||
\(350\) | 7.05064e8 | + | 5.13409e8i | 0.879004 | + | 0.640067i | ||||
\(351\) | 5.01962e8 | + | 221662.i | 0.619578 | + | 0.000273600i | ||||
\(352\) | −1.41246e8 | − | 2.44645e8i | −0.172614 | − | 0.298977i | ||||
\(353\) | −8.20766e8 | − | 4.73869e8i | −0.993134 | − | 0.573386i | −0.0869242 | − | 0.996215i | \(-0.527704\pi\) |
−0.906210 | + | 0.422829i | \(0.861037\pi\) | |||||||
\(354\) | −1.42495e8 | + | 2.46809e8i | −0.170722 | + | 0.295699i | ||||
\(355\) | −6.74364e7 | − | 1.16803e8i | −0.0800009 | − | 0.138566i | ||||
\(356\) | 3.79394e8i | 0.445672i | ||||||||
\(357\) | 3.13152e8 | + | 3.32515e7i | 0.364265 | + | 0.0386787i | ||||
\(358\) | − | 7.47755e8i | − | 0.861328i | ||||||
\(359\) | 2.81593e8 | − | 1.62578e8i | 0.321212 | − | 0.185452i | −0.330721 | − | 0.943729i | \(-0.607292\pi\) |
0.651933 | + | 0.758277i | \(0.273959\pi\) | |||||||
\(360\) | 5.21751e7 | − | 9.03699e7i | 0.0589392 | − | 0.102086i | ||||
\(361\) | −3.95358e8 | + | 6.84781e8i | −0.442299 | + | 0.766084i | ||||
\(362\) | −3.85901e8 | + | 2.22800e8i | −0.427559 | + | 0.246852i | ||||
\(363\) | 1.40541e8 | 0.154216 | ||||||||
\(364\) | −9.03803e7 | − | 2.03824e8i | −0.0982243 | − | 0.221514i | ||||
\(365\) | 1.36606e8 | 0.147044 | ||||||||
\(366\) | −2.84393e8 | + | 1.64194e8i | −0.303204 | + | 0.175055i | ||||
\(367\) | −5.62213e8 | + | 9.73781e8i | −0.593703 | + | 1.02832i | 0.400025 | + | 0.916504i | \(0.369001\pi\) |
−0.993728 | + | 0.111820i | \(0.964332\pi\) | |||||||
\(368\) | −8.95294e8 | + | 1.55070e9i | −0.936480 | + | 1.62203i | ||||
\(369\) | 4.74794e8 | − | 2.74123e8i | 0.491941 | − | 0.284022i | ||||
\(370\) | 2.59635e8i | 0.266475i | ||||||||
\(371\) | 4.86884e8 | + | 1.09671e9i | 0.495013 | + | 1.11502i | ||||
\(372\) | − | 1.12654e8i | − | 0.113461i | ||||||
\(373\) | −3.32163e8 | − | 5.75323e8i | −0.331413 | − | 0.574025i | 0.651376 | − | 0.758755i | \(-0.274192\pi\) |
−0.982789 | + | 0.184731i | \(0.940859\pi\) | |||||||
\(374\) | 4.58860e8 | − | 7.94769e8i | 0.453555 | − | 0.785580i | ||||
\(375\) | −8.94036e7 | − | 5.16172e7i | −0.0875478 | − | 0.0505458i | ||||
\(376\) | −6.59947e7 | − | 1.14306e8i | −0.0640253 | − | 0.110895i | ||||
\(377\) | −1.16791e8 | − | 51573.7i | −0.112257 | − | 4.95716e-5i | ||||
\(378\) | −7.65691e7 | + | 7.21105e8i | −0.0729176 | + | 0.686716i | ||||
\(379\) | 8.10185e8i | 0.764446i | 0.924070 | + | 0.382223i | \(0.124841\pi\) | ||||
−0.924070 | + | 0.382223i | \(0.875159\pi\) | |||||||
\(380\) | 6.88251e6 | + | 1.19209e7i | 0.00643435 | + | 0.0111446i | ||||
\(381\) | −2.16693e8 | + | 3.75324e8i | −0.200728 | + | 0.347671i | ||||
\(382\) | 1.15993e9 | + | 6.69687e8i | 1.06466 | + | 0.614682i | ||||
\(383\) | −5.29009e8 | + | 3.05423e8i | −0.481135 | + | 0.277783i | −0.720889 | − | 0.693050i | \(-0.756266\pi\) |
0.239754 | + | 0.970834i | \(0.422933\pi\) | |||||||
\(384\) | 4.37356e8i | 0.394163i | ||||||||
\(385\) | −7.49350e7 | + | 1.02908e8i | −0.0669225 | + | 0.0919046i | ||||
\(386\) | 1.66165e9 | 1.47056 | ||||||||
\(387\) | −1.61728e7 | − | 2.80122e7i | −0.0141840 | − | 0.0245674i | ||||
\(388\) | 1.02466e8 | + | 5.91586e7i | 0.0890569 | + | 0.0514170i | ||||
\(389\) | −1.06305e9 | + | 1.84125e9i | −0.915648 | + | 1.58595i | −0.109699 | + | 0.993965i | \(0.534989\pi\) |
−0.805949 | + | 0.591985i | \(0.798345\pi\) | |||||||
\(390\) | 3.33814e7 | + | 5.78772e7i | 0.0284956 | + | 0.0494062i | ||||
\(391\) | −2.09323e9 | −1.77092 | ||||||||
\(392\) | −9.58544e8 | + | 3.09190e8i | −0.803731 | + | 0.259253i | ||||
\(393\) | 4.42333e8 | 0.367600 | ||||||||
\(394\) | 3.92869e8 | + | 6.80468e8i | 0.323602 | + | 0.560494i | ||||
\(395\) | 9.46856e7 | + | 5.46668e7i | 0.0773026 | + | 0.0446307i | ||||
\(396\) | 1.68382e8 | + | 9.72156e7i | 0.136258 | + | 0.0786689i | ||||
\(397\) | 6.29870e7 | − | 3.63656e7i | 0.0505224 | − | 0.0291691i | −0.474526 | − | 0.880241i | \(-0.657381\pi\) |
0.525048 | + | 0.851072i | \(0.324047\pi\) | |||||||
\(398\) | − | 1.43374e8i | − | 0.113993i | ||||||
\(399\) | 1.14054e8 | + | 8.30512e7i | 0.0898888 | + | 0.0654547i | ||||
\(400\) | −1.47798e9 | −1.15467 | ||||||||
\(401\) | −1.13184e9 | + | 6.53467e8i | −0.876555 | + | 0.506079i | −0.869521 | − | 0.493896i | \(-0.835572\pi\) |
−0.00703393 | + | 0.999975i | \(0.502239\pi\) | |||||||
\(402\) | 9.54831e7 | − | 1.65382e8i | 0.0733053 | − | 0.126969i | ||||
\(403\) | 1.62734e9 | + | 9.40502e8i | 1.23854 | + | 0.715801i | ||||
\(404\) | −1.37640e8 | − | 2.38399e8i | −0.103851 | − | 0.179874i | ||||
\(405\) | 1.44220e8i | 0.107878i | ||||||||
\(406\) | 1.78152e7 | − | 1.67778e8i | 0.0132114 | − | 0.124421i | ||||
\(407\) | 1.51267e9 | 1.11215 | ||||||||
\(408\) | −3.67534e8 | + | 2.12196e8i | −0.267909 | + | 0.154677i | ||||
\(409\) | 1.34528e9 | + | 7.76697e8i | 0.972257 | + | 0.561333i | 0.899923 | − | 0.436048i | \(-0.143622\pi\) |
0.0723332 | + | 0.997381i | \(0.476956\pi\) | |||||||
\(410\) | 1.33979e8 | + | 7.73528e7i | 0.0960048 | + | 0.0554284i | ||||
\(411\) | 6.42232e8 | − | 3.70793e8i | 0.456295 | − | 0.263442i | ||||
\(412\) | −2.31081e7 | −0.0162788 | ||||||||
\(413\) | 1.22458e9 | − | 5.43654e8i | 0.855386 | − | 0.379749i | ||||
\(414\) | − | 2.27365e9i | − | 1.57479i | ||||||
\(415\) | 1.03092e8 | + | 1.78560e8i | 0.0708036 | + | 0.122636i | ||||
\(416\) | 6.03509e8 | + | 3.48791e8i | 0.411014 | + | 0.237541i | ||||
\(417\) | −1.55559e8 | + | 2.69435e8i | −0.105055 | + | 0.181961i | ||||
\(418\) | 3.56074e8 | − | 2.05580e8i | 0.238465 | − | 0.137678i | ||||
\(419\) | 8.16415e8 | 0.542203 | 0.271101 | − | 0.962551i | \(-0.412612\pi\) | ||||
0.271101 | + | 0.962551i | \(0.412612\pi\) | |||||||
\(420\) | −1.72073e7 | + | 7.63921e6i | −0.0113329 | + | 0.00503125i | ||||
\(421\) | 1.09838e9i | 0.717408i | 0.933451 | + | 0.358704i | \(0.116781\pi\) | ||||
−0.933451 | + | 0.358704i | \(0.883219\pi\) | |||||||
\(422\) | −2.52854e9 | + | 1.45985e9i | −1.63786 | + | 0.945616i | ||||
\(423\) | 1.82508e8 | + | 1.05371e8i | 0.117244 | + | 0.0676909i | ||||
\(424\) | −1.40043e9 | − | 8.08538e8i | −0.892238 | − | 0.515134i | ||||
\(425\) | −8.63892e8 | − | 1.49630e9i | −0.545881 | − | 0.945494i | ||||
\(426\) | −5.95806e8 | −0.373398 | ||||||||
\(427\) | 1.53523e9 | + | 1.63016e8i | 0.954281 | + | 0.101328i | ||||
\(428\) | −1.26202e8 | −0.0778058 | ||||||||
\(429\) | 3.37201e8 | − | 1.94485e8i | 0.206200 | − | 0.118928i | ||||
\(430\) | 4.56370e6 | − | 7.90457e6i | 0.00276807 | − | 0.00479445i | ||||
\(431\) | 8.68498e8 | + | 5.01427e8i | 0.522514 | + | 0.301674i | 0.737963 | − | 0.674841i | \(-0.235788\pi\) |
−0.215448 | + | 0.976515i | \(0.569121\pi\) | |||||||
\(432\) | −6.14417e8 | − | 1.06420e9i | −0.366666 | − | 0.635084i | ||||
\(433\) | 3.01110e7 | 0.0178245 | 0.00891227 | − | 0.999960i | \(-0.497163\pi\) | ||||
0.00891227 | + | 0.999960i | \(0.497163\pi\) | |||||||
\(434\) | −1.59836e9 | + | 2.19503e9i | −0.938559 | + | 1.28892i | ||||
\(435\) | 9.86167e6i | 0.00574431i | ||||||||
\(436\) | −1.49601e8 | + | 8.63721e7i | −0.0864433 | + | 0.0499081i | ||||
\(437\) | −8.12171e8 | − | 4.68907e8i | −0.465546 | − | 0.268783i | ||||
\(438\) | 3.01733e8 | − | 5.22616e8i | 0.171578 | − | 0.297183i | ||||
\(439\) | 7.26446e8 | + | 1.25824e9i | 0.409805 | + | 0.709804i | 0.994868 | − | 0.101185i | \(-0.0322633\pi\) |
−0.585062 | + | 0.810988i | \(0.698930\pi\) | |||||||
\(440\) | − | 1.71556e8i | − | 0.0960111i | ||||||
\(441\) | 1.07859e9 | − | 1.19277e9i | 0.598854 | − | 0.662247i | ||||
\(442\) | −999971. | + | 2.26448e9i | −0.000550820 | + | 1.24735i | ||||
\(443\) | 8.55542e8 | + | 1.48184e9i | 0.467550 | + | 0.809821i | 0.999313 | − | 0.0370726i | \(-0.0118033\pi\) |
−0.531762 | + | 0.846894i | \(0.678470\pi\) | |||||||
\(444\) | 1.93742e8 | + | 1.11857e8i | 0.105047 | + | 0.0606488i | ||||
\(445\) | −2.67247e8 | + | 4.62885e8i | −0.143765 | + | 0.249008i | ||||
\(446\) | −1.24836e9 | − | 2.16222e9i | −0.666295 | − | 1.15406i | ||||
\(447\) | 5.37923e8i | 0.284868i | ||||||||
\(448\) | 7.33204e8 | − | 1.00691e9i | 0.385258 | − | 0.529075i | ||||
\(449\) | 2.48167e9i | 1.29385i | 0.762555 | + | 0.646923i | \(0.223945\pi\) | ||||
−0.762555 | + | 0.646923i | \(0.776055\pi\) | |||||||
\(450\) | 1.62528e9 | − | 9.38354e8i | 0.840782 | − | 0.485426i | ||||
\(451\) | 4.50669e8 | − | 7.80581e8i | 0.231334 | − | 0.400682i | ||||
\(452\) | −2.61604e8 | + | 4.53112e8i | −0.133248 | + | 0.230792i | ||||
\(453\) | 4.80633e8 | − | 2.77494e8i | 0.242924 | − | 0.140252i | ||||
\(454\) | −5.70692e8 | −0.286224 | ||||||||
\(455\) | 3.33050e7 | − | 3.12343e8i | 0.0165756 | − | 0.155450i | ||||
\(456\) | −1.90137e8 | −0.0939052 | ||||||||
\(457\) | 2.18209e9 | − | 1.25983e9i | 1.06946 | − | 0.617454i | 0.141428 | − | 0.989949i | \(-0.454831\pi\) |
0.928035 | + | 0.372494i | \(0.121497\pi\) | |||||||
\(458\) | 1.24328e9 | − | 2.15343e9i | 0.604701 | − | 1.04737i | ||||
\(459\) | 7.18264e8 | − | 1.24407e9i | 0.346689 | − | 0.600483i | ||||
\(460\) | 1.08376e8 | − | 6.25711e7i | 0.0519137 | − | 0.0299724i | ||||
\(461\) | 1.13365e9i | 0.538924i | 0.963011 | + | 0.269462i | \(0.0868459\pi\) | ||||
−0.963011 | + | 0.269462i | \(0.913154\pi\) | |||||||
\(462\) | 2.28182e8 | + | 5.13980e8i | 0.107655 | + | 0.242493i | ||||
\(463\) | − | 2.20815e9i | − | 1.03394i | −0.856004 | − | 0.516969i | \(-0.827060\pi\) | ||
0.856004 | − | 0.516969i | \(-0.172940\pi\) | |||||||
\(464\) | 1.42955e8 | + | 2.47606e8i | 0.0664336 | + | 0.115066i | ||||
\(465\) | 7.93542e7 | − | 1.37446e8i | 0.0366003 | − | 0.0633936i | ||||
\(466\) | −2.68289e9 | − | 1.54897e9i | −1.22815 | − | 0.709073i | ||||
\(467\) | 6.36565e8 | + | 1.10256e9i | 0.289224 | + | 0.500950i | 0.973625 | − | 0.228156i | \(-0.0732696\pi\) |
−0.684401 | + | 0.729106i | \(0.739936\pi\) | |||||||
\(468\) | −4.79759e8 | − | 211857.i | −0.216353 | − | 9.55395e-5i | ||||
\(469\) | −8.20565e8 | + | 3.64291e8i | −0.367289 | + | 0.163058i | ||||
\(470\) | 5.94679e7i | 0.0264204i | ||||||||
\(471\) | −6.13131e8 | − | 1.06197e9i | −0.270383 | − | 0.468318i | ||||
\(472\) | −9.02813e8 | + | 1.56372e9i | −0.395185 | + | 0.684481i | ||||
\(473\) | −4.60532e7 | − | 2.65888e7i | −0.0200099 | − | 0.0115527i | ||||
\(474\) | 4.18278e8 | − | 2.41493e8i | 0.180402 | − | 0.104155i | ||||
\(475\) | − | 7.74086e8i | − | 0.331407i | ||||||
\(476\) | −6.34518e8 | − | 6.73750e7i | −0.269662 | − | 0.0286335i | ||||
\(477\) | 2.58192e9 | 1.08925 | ||||||||
\(478\) | −1.71290e9 | − | 2.96682e9i | −0.717354 | − | 1.24249i | ||||
\(479\) | −9.73135e8 | − | 5.61840e8i | −0.404575 | − | 0.233581i | 0.283881 | − | 0.958859i | \(-0.408378\pi\) |
−0.688456 | + | 0.725278i | \(0.741711\pi\) | |||||||
\(480\) | 2.94290e7 | − | 5.09726e7i | 0.0121460 | − | 0.0210374i | ||||
\(481\) | −3.23328e9 | + | 1.86483e9i | −1.32476 | + | 0.764068i | ||||
\(482\) | 2.54822e9 | 1.03651 | ||||||||
\(483\) | 7.55044e8 | − | 1.03690e9i | 0.304900 | − | 0.418719i | ||||
\(484\) | −2.84767e8 | −0.114165 | ||||||||
\(485\) | 8.33431e7 | + | 1.44354e8i | 0.0331721 | + | 0.0574558i | ||||
\(486\) | 2.06520e9 | + | 1.19234e9i | 0.816083 | + | 0.471166i | ||||
\(487\) | −1.24563e9 | − | 7.19164e8i | −0.488694 | − | 0.282148i | 0.235339 | − | 0.971913i | \(-0.424380\pi\) |
−0.724032 | + | 0.689766i | \(0.757713\pi\) | |||||||
\(488\) | −1.80184e9 | + | 1.04029e9i | −0.701853 | + | 0.405215i | ||||
\(489\) | 8.52503e8i | 0.329697i | ||||||||
\(490\) | 4.43665e8 | + | 9.52938e7i | 0.170361 | + | 0.0365914i | ||||
\(491\) | −1.09759e9 | −0.418462 | −0.209231 | − | 0.977866i | \(-0.567096\pi\) | ||||
−0.209231 | + | 0.977866i | \(0.567096\pi\) | |||||||
\(492\) | 1.15443e8 | − | 6.66508e7i | 0.0437007 | − | 0.0252306i | ||||
\(493\) | −1.67117e8 | + | 2.89456e8i | −0.0628141 | + | 0.108797i | ||||
\(494\) | −5.07656e8 | + | 8.78390e8i | −0.189463 | + | 0.327826i | ||||
\(495\) | 1.36958e8 | + | 2.37218e8i | 0.0507539 | + | 0.0879084i | ||||
\(496\) | − | 4.60130e9i | − | 1.69315i | ||||||
\(497\) | 2.26436e9 | + | 1.64885e9i | 0.827368 | + | 0.602468i | ||||
\(498\) | 9.10825e8 | 0.330470 | ||||||||
\(499\) | −1.00950e9 | + | 5.82836e8i | −0.363710 | + | 0.209988i | −0.670707 | − | 0.741723i | \(-0.734009\pi\) |
0.306997 | + | 0.951710i | \(0.400676\pi\) | |||||||
\(500\) | 1.81152e8 | + | 1.04588e8i | 0.0648109 | + | 0.0374186i | ||||
\(501\) | −5.38967e8 | − | 3.11173e8i | −0.191483 | − | 0.110553i | ||||
\(502\) | 3.61604e9 | − | 2.08772e9i | 1.27576 | − | 0.736562i | ||||
\(503\) | −1.44654e9 | −0.506807 | −0.253403 | − | 0.967361i | \(-0.581550\pi\) | ||||
−0.253403 | + | 0.967361i | \(0.581550\pi\) | |||||||
\(504\) | −2.28831e8 | + | 2.15506e9i | −0.0796174 | + | 0.749813i | ||||
\(505\) | − | 3.87816e8i | − | 0.134000i | ||||||
\(506\) | −1.86899e9 | − | 3.23718e9i | −0.641327 | − | 1.11081i | ||||
\(507\) | −4.80993e8 | + | 8.31408e8i | −0.163912 | + | 0.283326i | ||||
\(508\) | 4.39070e8 | − | 7.60491e8i | 0.148597 | − | 0.257378i | ||||
\(509\) | −8.70176e8 | + | 5.02397e8i | −0.292479 | + | 0.168863i | −0.639059 | − | 0.769157i | \(-0.720676\pi\) |
0.346580 | + | 0.938020i | \(0.387343\pi\) | |||||||
\(510\) | 1.91210e8 | 0.0638284 | ||||||||
\(511\) | −2.59304e9 | + | 1.15118e9i | −0.859677 | + | 0.381654i | ||||
\(512\) | 1.32924e9i | 0.437683i | ||||||||
\(513\) | 5.57372e8 | − | 3.21799e8i | 0.182278 | − | 0.105238i | ||||
\(514\) | −1.26371e9 | − | 7.29601e8i | −0.410464 | − | 0.236982i | ||||
\(515\) | −2.81933e7 | − | 1.62774e7i | −0.00909538 | − | 0.00525122i | ||||
\(516\) | −3.93230e6 | − | 6.81095e6i | −0.00126001 | − | 0.00218240i | ||||
\(517\) | 3.46469e8 | 0.110267 | ||||||||
\(518\) | −2.18794e9 | − | 4.92834e9i | −0.691642 | − | 1.55792i | ||||
\(519\) | −1.39706e9 | −0.438660 | ||||||||
\(520\) | 2.11495e8 | + | 3.66695e8i | 0.0659613 | + | 0.114365i | ||||
\(521\) | 4.91213e8 | − | 8.50805e8i | 0.152173 | − | 0.263571i | −0.779853 | − | 0.625963i | \(-0.784706\pi\) |
0.932026 | + | 0.362391i | \(0.118040\pi\) | |||||||
\(522\) | −3.14405e8 | − | 1.81522e8i | −0.0967482 | − | 0.0558576i | ||||
\(523\) | 1.26338e9 | + | 2.18824e9i | 0.386170 | + | 0.668867i | 0.991931 | − | 0.126780i | \(-0.0404643\pi\) |
−0.605760 | + | 0.795647i | \(0.707131\pi\) | |||||||
\(524\) | −8.96267e8 | −0.272131 | ||||||||
\(525\) | 1.05282e9 | + | 1.11792e8i | 0.317539 | + | 0.0337173i | ||||
\(526\) | − | 2.61815e9i | − | 0.784412i | ||||||
\(527\) | 4.65835e9 | − | 2.68950e9i | 1.38642 | − | 0.800450i | ||||
\(528\) | −8.25280e8 | − | 4.76475e8i | −0.243996 | − | 0.140871i | ||||
\(529\) | −2.56056e9 | + | 4.43503e9i | −0.752040 | + | 1.30257i | ||||
\(530\) | 3.64287e8 | + | 6.30964e8i | 0.106287 | + | 0.184094i | ||||
\(531\) | − | 2.88297e9i | − | 0.835620i | ||||||
\(532\) | −2.31099e8 | − | 1.68281e8i | −0.0665439 | − | 0.0484555i | ||||
\(533\) | −982120. | + | 2.22405e9i | −0.000280944 | + | 0.636209i | ||||
\(534\) | 1.18057e9 | + | 2.04481e9i | 0.335505 | + | 0.581111i | ||||
\(535\) | −1.53974e8 | − | 8.88969e7i | −0.0434720 | − | 0.0250985i | ||||
\(536\) | 6.04955e8 | − | 1.04781e9i | 0.169686 | − | 0.293905i | ||||
\(537\) | −4.53848e8 | − | 7.86088e8i | −0.126474 | − | 0.219059i | ||||
\(538\) | 5.06587e9i | 1.40254i | ||||||||
\(539\) | 5.55196e8 | − | 2.58486e9i | 0.152716 | − | 0.711011i | ||||
\(540\) | 8.58818e7i | 0.0234705i | ||||||||
\(541\) | 2.58688e9 | − | 1.49354e9i | 0.702404 | − | 0.405533i | −0.105838 | − | 0.994383i | \(-0.533753\pi\) |
0.808242 | + | 0.588850i | \(0.200419\pi\) | |||||||
\(542\) | −3.13174e9 | + | 5.42433e9i | −0.844866 | + | 1.46335i | ||||
\(543\) | −2.70456e8 | + | 4.68444e8i | −0.0724932 | + | 0.125562i | ||||
\(544\) | 1.72758e9 | − | 9.97418e8i | 0.460089 | − | 0.265632i | ||||
\(545\) | −2.43363e8 | −0.0643973 | ||||||||
\(546\) | −1.12137e9 | − | 8.17310e8i | −0.294832 | − | 0.214888i | ||||
\(547\) | 1.08999e9 | 0.284751 | 0.142376 | − | 0.989813i | \(-0.454526\pi\) | ||||
0.142376 | + | 0.989813i | \(0.454526\pi\) | |||||||
\(548\) | −1.30131e9 | + | 7.51310e8i | −0.337791 | + | 0.195024i | ||||
\(549\) | 1.66099e9 | − | 2.87692e9i | 0.428414 | − | 0.742035i | ||||
\(550\) | 1.54269e9 | − | 2.67202e9i | 0.395376 | − | 0.684811i | ||||
\(551\) | −1.29683e8 | + | 7.48724e7i | −0.0330257 | + | 0.0190674i | ||||
\(552\) | 1.72859e9i | 0.437428i | ||||||||
\(553\) | −2.25798e9 | − | 2.39759e8i | −0.567782 | − | 0.0602889i | ||||
\(554\) | − | 7.50074e9i | − | 1.87422i | ||||||
\(555\) | 1.57585e8 | + | 2.72945e8i | 0.0391281 | + | 0.0677719i | ||||
\(556\) | 3.15197e8 | − | 5.45937e8i | 0.0777715 | − | 0.134704i | ||||
\(557\) | −5.06486e9 | − | 2.92420e9i | −1.24186 | − | 0.716990i | −0.272390 | − | 0.962187i | \(-0.587814\pi\) |
−0.969473 | + | 0.245196i | \(0.921148\pi\) | |||||||
\(558\) | 2.92132e9 | + | 5.05987e9i | 0.711802 | + | 1.23288i | ||||
\(559\) | 1.31216e8 | + | 57943.7i | 0.0317720 | + | 1.40302e-5i | ||||
\(560\) | −7.02822e8 | + | 3.12019e8i | −0.169117 | + | 0.0750797i | ||||
\(561\) | − | 1.11402e9i | − | 0.266392i | ||||||
\(562\) | 1.57275e9 | + | 2.72408e9i | 0.373751 | + | 0.647355i | ||||
\(563\) | 4.95410e8 | − | 8.58075e8i | 0.117000 | − | 0.202650i | −0.801578 | − | 0.597891i | \(-0.796006\pi\) |
0.918577 | + | 0.395241i | \(0.129339\pi\) | |||||||
\(564\) | 4.43754e7 | + | 2.56202e7i | 0.0104151 | + | 0.00601319i | ||||
\(565\) | −6.38348e8 | + | 3.68550e8i | −0.148898 | + | 0.0859661i | ||||
\(566\) | 8.68111e9i | 2.01242i | ||||||||
\(567\) | −1.21534e9 | − | 2.73755e9i | −0.279999 | − | 0.630697i | ||||
\(568\) | −3.77487e9 | −0.864336 | ||||||||
\(569\) | 3.87928e9 | + | 6.71910e9i | 0.882791 | + | 1.52904i | 0.848225 | + | 0.529636i | \(0.177671\pi\) |
0.0345653 | + | 0.999402i | \(0.488995\pi\) | |||||||
\(570\) | 7.41892e7 | + | 4.28331e7i | 0.0167795 | + | 0.00968764i | ||||
\(571\) | 2.42170e9 | − | 4.19451e9i | 0.544370 | − | 0.942877i | −0.454276 | − | 0.890861i | \(-0.650102\pi\) |
0.998646 | − | 0.0520161i | \(-0.0165647\pi\) | |||||||
\(572\) | −6.83246e8 | + | 3.94070e8i | −0.152648 | + | 0.0880415i | ||||
\(573\) | 1.62586e9 | 0.361029 | ||||||||
\(574\) | −3.19501e9 | − | 3.39256e8i | −0.705149 | − | 0.0748748i | ||||
\(575\) | −7.03746e9 | −1.54375 | ||||||||
\(576\) | −1.34007e9 | − | 2.32107e9i | −0.292179 | − | 0.506069i | ||||
\(577\) | 1.37973e9 | + | 7.96587e8i | 0.299005 | + | 0.172631i | 0.641996 | − | 0.766708i | \(-0.278107\pi\) |
−0.342991 | + | 0.939339i | \(0.611440\pi\) | |||||||
\(578\) | 1.13111e9 | + | 6.53049e8i | 0.243646 | + | 0.140669i | ||||
\(579\) | 1.74683e9 | − | 1.00853e9i | 0.374004 | − | 0.215931i | ||||
\(580\) | − | 1.99820e7i | − | 0.00425246i | ||||||
\(581\) | −3.46159e9 | − | 2.52064e9i | −0.732250 | − | 0.533205i | ||||
\(582\) | 7.36344e8 | 0.154828 | ||||||||
\(583\) | 3.67609e9 | − | 2.12239e9i | 0.768327 | − | 0.443594i | ||||
\(584\) | 1.91170e9 | − | 3.31115e9i | 0.397168 | − | 0.687915i | ||||
\(585\) | −5.85188e8 | − | 3.38203e8i | −0.120851 | − | 0.0698444i | ||||
\(586\) | −4.87510e9 | − | 8.44392e9i | −1.00079 | − | 1.73342i | ||||
\(587\) | − | 1.16683e9i | − | 0.238108i | −0.992888 | − | 0.119054i | \(-0.962014\pi\) | ||
0.992888 | − | 0.119054i | \(-0.0379861\pi\) | |||||||
\(588\) | 2.62250e8 | − | 2.90012e8i | 0.0531980 | − | 0.0588295i | ||||
\(589\) | 2.40991e9 | 0.485957 | ||||||||
\(590\) | 7.04533e8 | − | 4.06762e8i | 0.141228 | − | 0.0815378i | ||||
\(591\) | 8.26017e8 | + | 4.76901e8i | 0.164601 | + | 0.0950325i | ||||
\(592\) | 7.91326e9 | + | 4.56872e9i | 1.56758 | + | 0.905042i | ||||
\(593\) | −8.38389e9 | + | 4.84044e9i | −1.65103 | + | 0.953221i | −0.674377 | + | 0.738387i | \(0.735588\pi\) |
−0.976651 | + | 0.214834i | \(0.931079\pi\) | |||||||
\(594\) | 2.56528e9 | 0.502206 | ||||||||
\(595\) | −7.26693e8 | − | 5.29159e8i | −0.141430 | − | 0.102986i | ||||
\(596\) | − | 1.08995e9i | − | 0.210885i | ||||||
\(597\) | −8.70203e7 | − | 1.50724e8i | −0.0167383 | − | 0.0289915i | ||||
\(598\) | 7.98572e9 | + | 4.61526e9i | 1.52707 | + | 0.882555i | ||||
\(599\) | 3.74133e9 | − | 6.48017e9i | 0.711265 | − | 1.23195i | −0.253117 | − | 0.967436i | \(-0.581456\pi\) |
0.964382 | − | 0.264512i | \(-0.0852109\pi\) | |||||||
\(600\) | −1.23565e9 | + | 7.13404e8i | −0.233543 | + | 0.134836i | ||||
\(601\) | −5.10218e9 | −0.958727 | −0.479364 | − | 0.877616i | \(-0.659132\pi\) | ||||
−0.479364 | + | 0.877616i | \(0.659132\pi\) | |||||||
\(602\) | −2.00156e7 | + | 1.88501e8i | −0.00373922 | + | 0.0352149i | ||||
\(603\) | 1.93182e9i | 0.358802i | ||||||||
\(604\) | −9.73872e8 | + | 5.62265e8i | −0.179834 | + | 0.103827i | ||||
\(605\) | −3.47434e8 | − | 2.00591e8i | −0.0637865 | − | 0.0368271i | ||||
\(606\) | −1.48367e9 | − | 8.56596e8i | −0.270821 | − | 0.156359i | ||||
\(607\) | 2.57962e9 | + | 4.46803e9i | 0.468161 | + | 0.810878i | 0.999338 | − | 0.0363825i | \(-0.0115835\pi\) |
−0.531177 | + | 0.847261i | \(0.678250\pi\) | |||||||
\(608\) | 8.93731e8 | 0.161267 | ||||||||
\(609\) | −8.31042e7 | − | 1.87192e8i | −0.0149095 | − | 0.0335836i | ||||
\(610\) | 9.37407e8 | 0.167214 | ||||||||
\(611\) | −7.40564e8 | + | 4.27129e8i | −0.131346 | + | 0.0757556i | ||||
\(612\) | −6.86494e8 | + | 1.18904e9i | −0.121062 | + | 0.209685i | ||||
\(613\) | −6.19438e9 | − | 3.57633e9i | −1.08614 | − | 0.627084i | −0.153595 | − | 0.988134i | \(-0.549085\pi\) |
−0.932546 | + | 0.361050i | \(0.882418\pi\) | |||||||
\(614\) | 5.94333e9 | + | 1.02941e10i | 1.03619 | + | 1.79474i | ||||
\(615\) | 1.87796e8 | 0.0325555 | ||||||||
\(616\) | 1.44570e9 | + | 3.25644e9i | 0.249199 | + | 0.561320i | ||||
\(617\) | 9.95232e9i | 1.70579i | 0.522080 | + | 0.852896i | \(0.325156\pi\) | ||||
−0.522080 | + | 0.852896i | \(0.674844\pi\) | |||||||
\(618\) | −1.24545e8 | + | 7.19062e7i | −0.0212260 | + | 0.0122548i | ||||
\(619\) | −8.62071e9 | − | 4.97717e9i | −1.46092 | − | 0.843461i | −0.461864 | − | 0.886951i | \(-0.652819\pi\) |
−0.999054 | + | 0.0434897i | \(0.986152\pi\) | |||||||
\(620\) | −1.60790e8 | + | 2.78496e8i | −0.0270949 | + | 0.0469297i | ||||
\(621\) | −2.92557e9 | − | 5.06724e9i | −0.490219 | − | 0.849084i | ||||
\(622\) | − | 4.28082e9i | − | 0.713281i | ||||||
\(623\) | 1.17210e9 | − | 1.10385e10i | 0.194203 | − | 1.82894i | ||||
\(624\) | 2.35141e9 | + | 1.03836e6i | 0.387420 | + | 0.000171081i | ||||
\(625\) | −2.82983e9 | − | 4.90141e9i | −0.463639 | − | 0.803047i | ||||
\(626\) | 3.86445e9 | + | 2.23114e9i | 0.629618 | + | 0.363510i | ||||
\(627\) | 2.49552e8 | − | 4.32237e8i | 0.0404320 | − | 0.0700302i | ||||
\(628\) | 1.24234e9 | + | 2.15180e9i | 0.200162 | + | 0.346692i | ||||
\(629\) | 1.06818e10i | 1.71147i | ||||||||
\(630\) | 5.74769e8 | − | 7.89329e8i | 0.0915801 | − | 0.125767i | ||||
\(631\) | 7.78301e9i | 1.23323i | 0.787264 | + | 0.616616i | \(0.211497\pi\) | ||||
−0.787264 | + | 0.616616i | \(0.788503\pi\) | |||||||
\(632\) | 2.65010e9 | − | 1.53003e9i | 0.417592 | − | 0.241097i | ||||
\(633\) | −1.77211e9 | + | 3.06938e9i | −0.277701 | + | 0.480992i | ||||
\(634\) | 1.75257e9 | − | 3.03554e9i | 0.273126 | − | 0.473068i | ||||
\(635\) | 1.07139e9 | − | 6.18565e8i | 0.166050 | − | 0.0958688i | ||||
\(636\) | 6.27774e8 | 0.0967616 | ||||||||
\(637\) | 1.99992e9 | + | 6.20949e9i | 0.306567 | + | 0.951849i | ||||
\(638\) | −5.96859e8 | −0.0909911 | ||||||||
\(639\) | 5.21969e9 | − | 3.01359e9i | 0.791392 | − | 0.456910i | ||||
\(640\) | 6.24230e8 | − | 1.08120e9i | 0.0941271 | − | 0.163033i | ||||
\(641\) | 6.07373e9 | − | 1.05200e10i | 0.910862 | − | 1.57766i | 0.0980120 | − | 0.995185i | \(-0.468752\pi\) |
0.812850 | − | 0.582473i | \(-0.197915\pi\) | |||||||
\(642\) | −6.80187e8 | + | 3.92706e8i | −0.101451 | + | 0.0585727i | ||||
\(643\) | − | 5.36936e7i | − | 0.00796497i | −0.999992 | − | 0.00398248i | \(-0.998732\pi\) | ||
0.999992 | − | 0.00398248i | \(-0.00126767\pi\) | |||||||
\(644\) | −1.52989e9 | + | 2.10100e9i | −0.225715 | + | 0.309974i | ||||
\(645\) | − | 1.10797e7i | − | 0.00162581i | ||||||
\(646\) | 1.45171e9 | + | 2.51444e9i | 0.211869 | + | 0.366968i | ||||
\(647\) | −2.93127e9 | + | 5.07710e9i | −0.425491 | + | 0.736972i | −0.996466 | − | 0.0839953i | \(-0.973232\pi\) |
0.570975 | + | 0.820967i | \(0.306565\pi\) | |||||||
\(648\) | 3.49569e9 | + | 2.01824e9i | 0.504684 | + | 0.291380i | ||||
\(649\) | −2.36986e9 | − | 4.10471e9i | −0.340303 | − | 0.589422i | ||||
\(650\) | −3.36191e6 | + | 7.61319e9i | −0.000480164 | + | 1.08735i | ||||
\(651\) | −3.48034e8 | + | 3.27768e9i | −0.0494411 | + | 0.465622i | ||||
\(652\) | − | 1.72736e9i | − | 0.244072i | ||||||
\(653\) | −5.89937e8 | − | 1.02180e9i | −0.0829104 | − | 0.143605i | 0.821588 | − | 0.570081i | \(-0.193088\pi\) |
−0.904499 | + | 0.426476i | \(0.859755\pi\) | |||||||
\(654\) | −5.37534e8 | + | 9.31037e8i | −0.0751422 | + | 0.130150i | ||||
\(655\) | −1.09350e9 | − | 6.31334e8i | −0.152046 | − | 0.0877839i | ||||
\(656\) | 4.71518e9 | − | 2.72231e9i | 0.652131 | − | 0.376508i | ||||
\(657\) | 6.10465e9i | 0.839812i | ||||||||
\(658\) | −5.01135e8 | − | 1.12881e9i | −0.0685747 | − | 0.154465i | ||||
\(659\) | −5.52309e9 | −0.751767 | −0.375884 | − | 0.926667i | \(-0.622661\pi\) | ||||
−0.375884 | + | 0.926667i | \(0.622661\pi\) | |||||||
\(660\) | 3.33003e7 | + | 5.76778e7i | 0.00450863 | + | 0.00780917i | ||||
\(661\) | −2.52374e9 | − | 1.45708e9i | −0.339890 | − | 0.196236i | 0.320333 | − | 0.947305i | \(-0.396205\pi\) |
−0.660224 | + | 0.751069i | \(0.729538\pi\) | |||||||
\(662\) | 9.48159e8 | − | 1.64226e9i | 0.127022 | − | 0.220008i | ||||
\(663\) | 1.37337e9 | + | 2.38117e9i | 0.183016 | + | 0.317317i | ||||
\(664\) | 5.77074e9 | 0.764968 | ||||||||
\(665\) | −1.63418e8 | − | 3.68100e8i | −0.0215489 | − | 0.0485390i | ||||
\(666\) | −1.16025e10 | −1.52192 | ||||||||
\(667\) | 6.80688e8 | + | 1.17899e9i | 0.0888193 | + | 0.153840i | ||||
\(668\) | 1.09207e9 | + | 6.30506e8i | 0.141753 | + | 0.0818412i | ||||
\(669\) | −2.62470e9 | − | 1.51537e9i | −0.338914 | − | 0.195672i | ||||
\(670\) | −4.72093e8 | + | 2.72563e8i | −0.0606409 | + | 0.0350110i | ||||
\(671\) | − | 5.46147e9i | − | 0.697880i | ||||||
\(672\) | −1.29071e8 | + | 1.21555e9i | −0.0164072 | + | 0.154518i | ||||
\(673\) | 2.43818e9 | 0.308328 | 0.154164 | − | 0.988045i | \(-0.450732\pi\) | ||||
0.154164 | + | 0.988045i | \(0.450732\pi\) | |||||||
\(674\) | 2.61717e9 | − | 1.51102e9i | 0.329247 | − | 0.190091i | ||||
\(675\) | 2.41481e9 | − | 4.18258e9i | 0.302218 | − | 0.523457i | ||||
\(676\) | 9.74602e8 | − | 1.68462e9i | 0.121343 | − | 0.209744i | ||||
\(677\) | 3.75287e9 | + | 6.50017e9i | 0.464840 | + | 0.805127i | 0.999194 | − | 0.0401340i | \(-0.0127785\pi\) |
−0.534354 | + | 0.845261i | \(0.679445\pi\) | |||||||
\(678\) | 3.25618e9i | 0.401240i | ||||||||
\(679\) | −2.79848e9 | − | 2.03778e9i | −0.343066 | − | 0.249811i | ||||
\(680\) | 1.21145e9 | 0.147749 | ||||||||
\(681\) | −5.99948e8 | + | 3.46380e8i | −0.0727945 | + | 0.0420279i | ||||
\(682\) | 8.31863e9 | + | 4.80276e9i | 1.00417 | + | 0.579757i | ||||
\(683\) | −1.98351e9 | − | 1.14518e9i | −0.238211 | − | 0.137531i | 0.376143 | − | 0.926561i | \(-0.377250\pi\) |
−0.614354 | + | 0.789031i | \(0.710583\pi\) | |||||||
\(684\) | −5.32718e8 | + | 3.07565e8i | −0.0636504 | + | 0.0367486i | ||||
\(685\) | −2.11690e9 | −0.251643 | ||||||||
\(686\) | −9.22461e9 | + | 1.92991e9i | −1.09097 | + | 0.228246i | ||||
\(687\) | − | 3.01843e9i | − | 0.355167i | ||||||
\(688\) | −1.60612e8 | − | 2.78189e8i | −0.0188027 | − | 0.0325672i | ||||
\(689\) | −5.24101e9 | + | 9.06844e9i | −0.610446 | + | 1.05625i | ||||
\(690\) | 3.89409e8 | − | 6.74477e8i | 0.0451268 | − | 0.0781619i | ||||
\(691\) | 5.89032e9 | − | 3.40078e9i | 0.679150 | − | 0.392107i | −0.120385 | − | 0.992727i | \(-0.538413\pi\) |
0.799535 | + | 0.600620i | \(0.205079\pi\) | |||||||
\(692\) | 2.83075e9 | 0.324736 | ||||||||
\(693\) | −4.59875e9 | − | 3.34869e9i | −0.524896 | − | 0.382216i | ||||
\(694\) | 1.33051e10i | 1.51099i | ||||||||
\(695\) | 7.69121e8 | − | 4.44052e8i | 0.0869056 | − | 0.0501750i | ||||
\(696\) | 2.39033e8 | + | 1.38006e8i | 0.0268736 | + | 0.0155155i | ||||
\(697\) | 5.51212e9 | + | 3.18242e9i | 0.616601 | + | 0.355995i | ||||
\(698\) | 6.41648e9 | + | 1.11137e10i | 0.714172 | + | 1.23698i | ||||
\(699\) | −3.76056e9 | −0.416469 | ||||||||
\(700\) | −2.13326e9 | − | 2.26515e8i | −0.235071 | − | 0.0249606i | ||||
\(701\) | −6.23320e9 | −0.683437 | −0.341718 | − | 0.939802i | \(-0.611009\pi\) | ||||
−0.341718 | + | 0.939802i | \(0.611009\pi\) | |||||||
\(702\) | −5.48319e9 | + | 3.16249e9i | −0.598209 | + | 0.345024i | ||||
\(703\) | −2.39285e9 | + | 4.14454e9i | −0.259760 | + | 0.449917i | ||||
\(704\) | −3.81594e9 | − | 2.20313e9i | −0.412189 | − | 0.237978i | ||||
\(705\) | 3.60939e7 | + | 6.25164e7i | 0.00387946 | + | 0.00671943i | ||||
\(706\) | 1.19511e10 | 1.27818 | ||||||||
\(707\) | 3.26812e9 | + | 7.36144e9i | 0.347800 | + | 0.783420i | ||||
\(708\) | − | 7.00971e8i | − | 0.0742307i | ||||||
\(709\) | −8.14030e9 | + | 4.69980e9i | −0.857785 | + | 0.495243i | −0.863270 | − | 0.504742i | \(-0.831587\pi\) |
0.00548479 | + | 0.999985i | \(0.498254\pi\) | |||||||
\(710\) | 1.47291e9 | + | 8.50384e8i | 0.154444 | + | 0.0891683i | ||||
\(711\) | −2.44294e9 | + | 4.23130e9i | −0.254900 | + | 0.441499i | ||||
\(712\) | 7.47980e9 | + | 1.29554e10i | 0.776622 | + | 1.34515i | ||||
\(713\) | − | 2.19093e10i | − | 2.26368i | ||||||
\(714\) | −3.62950e9 | + | 1.61132e9i | −0.373167 | + | 0.165668i | ||||
\(715\) | −1.11119e9 | − | 490690.i | −0.113689 | − | 5.02038e-5i | ||||
\(716\) | 9.19599e8 | + | 1.59279e9i | 0.0936274 | + | 0.162167i | ||||
\(717\) | −3.60141e9 | − | 2.07928e9i | −0.364885 | − | 0.210666i | ||||
\(718\) | −2.05013e9 | + | 3.55094e9i | −0.206703 | + | 0.358020i | ||||
\(719\) | −2.52038e9 | − | 4.36543e9i | −0.252881 | − | 0.438002i | 0.711437 | − | 0.702750i | \(-0.248045\pi\) |
−0.964318 | + | 0.264748i | \(0.914711\pi\) | |||||||
\(720\) | 1.65462e9i | 0.165209i | ||||||||
\(721\) | 6.72329e8 | + | 7.13900e7i | 0.0668050 | + | 0.00709355i | ||||
\(722\) | − | 9.97107e9i | − | 0.985965i | ||||||
\(723\) | 2.67885e9 | − | 1.54663e9i | 0.263611 | − | 0.152196i | ||||
\(724\) | 5.48006e8 | − | 9.49174e8i | 0.0536661 | − | 0.0929524i | ||||
\(725\) | −5.61850e8 | + | 9.73153e8i | −0.0547567 | + | 0.0948415i | ||||
\(726\) | −1.53481e9 | + | 8.86121e8i | −0.148859 | + | 0.0859438i | ||||
\(727\) | 1.94139e10 | 1.87388 | 0.936940 | − | 0.349492i | \(-0.113646\pi\) | ||||
0.936940 | + | 0.349492i | \(0.113646\pi\) | |||||||
\(728\) | −7.10469e9 | − | 5.17825e9i | −0.682473 | − | 0.497420i | ||||
\(729\) | −4.32348e9 | −0.413321 | ||||||||
\(730\) | −1.49184e9 | + | 8.61315e8i | −0.141936 | + | 0.0819468i | ||||
\(731\) | 1.87759e8 | − | 3.25207e8i | 0.0177782 | − | 0.0307928i | ||||
\(732\) | 4.03857e8 | − | 6.99501e8i | 0.0380574 | − | 0.0659173i | ||||
\(733\) | −6.06070e9 | + | 3.49915e9i | −0.568406 | + | 0.328169i | −0.756513 | − | 0.653979i | \(-0.773098\pi\) |
0.188106 | + | 0.982149i | \(0.439765\pi\) | |||||||
\(734\) | − | 1.41792e10i | − | 1.32347i | ||||||
\(735\) | 5.24248e8 | − | 1.69103e8i | 0.0487002 | − | 0.0157089i | ||||
\(736\) | − | 8.12519e9i | − | 0.751210i | ||||||
\(737\) | 1.58799e9 | + | 2.75048e9i | 0.146121 | + | 0.253089i | ||||
\(738\) | −3.45673e9 | + | 5.98723e9i | −0.316569 | + | 0.548314i | ||||
\(739\) | −1.17667e10 | − | 6.79349e9i | −1.07250 | − | 0.619209i | −0.143638 | − | 0.989630i | \(-0.545880\pi\) |
−0.928864 | + | 0.370421i | \(0.879213\pi\) | |||||||
\(740\) | −3.19303e8 | − | 5.53048e8i | −0.0289662 | − | 0.0501709i | ||||
\(741\) | −543837. | + | 1.23154e9i | −4.91026e−5 | + | 0.111195i | ||||
\(742\) | −1.22319e10 | − | 8.90699e9i | −1.09921 | − | 0.800418i | ||||
\(743\) | − | 9.77797e8i | − | 0.0874556i | −0.999043 | − | 0.0437278i | \(-0.986077\pi\) | ||
0.999043 | − | 0.0437278i | \(-0.0139234\pi\) | |||||||
\(744\) | −2.22100e9 | − | 3.84688e9i | −0.197716 | − | 0.342455i | ||||
\(745\) | 7.67767e8 | − | 1.32981e9i | 0.0680272 | − | 0.117827i | ||||
\(746\) | 7.25491e9 | + | 4.18863e9i | 0.639803 | + | 0.369390i | ||||
\(747\) | −7.97948e9 | + | 4.60695e9i | −0.700410 | + | 0.404382i | ||||
\(748\) | 2.25725e9i | 0.197208i | ||||||||
\(749\) | 3.67184e9 | + | 3.89887e8i | 0.319299 | + | 0.0339041i | ||||
\(750\) | 1.30180e9 | 0.112676 | ||||||||
\(751\) | 3.58506e9 | + | 6.20951e9i | 0.308857 | + | 0.534955i | 0.978113 | − | 0.208077i | \(-0.0667203\pi\) |
−0.669256 | + | 0.743032i | \(0.733387\pi\) | |||||||
\(752\) | 1.81249e9 | + | 1.04644e9i | 0.155422 | + | 0.0897329i | ||||
\(753\) | 2.53427e9 | − | 4.38949e9i | 0.216307 | − | 0.374655i | ||||
\(754\) | 1.27576e9 | − | 7.35812e8i | 0.108385 | − | 0.0625125i | ||||
\(755\) | −1.58425e9 | −0.133970 | ||||||||
\(756\) | −7.23725e8 | − | 1.63019e9i | −0.0609182 | − | 0.137218i | ||||
\(757\) | 6.04751e9 | 0.506689 | 0.253344 | − | 0.967376i | \(-0.418469\pi\) | ||||
0.253344 | + | 0.967376i | \(0.418469\pi\) | |||||||
\(758\) | −5.10828e9 | − | 8.84781e9i | −0.426023 | − | 0.737893i | ||||
\(759\) | −3.92960e9 | − | 2.26876e9i | −0.326214 | − | 0.188340i | ||||
\(760\) | 4.70042e8 | + | 2.71379e8i | 0.0388409 | + | 0.0224248i | ||||
\(761\) | −1.14870e10 | + | 6.63200e9i | −0.944841 | + | 0.545504i | −0.891475 | − | 0.453071i | \(-0.850329\pi\) |
−0.0533665 | + | 0.998575i | \(0.516995\pi\) | |||||||
\(762\) | − | 5.46508e9i | − | 0.447460i | ||||||
\(763\) | 4.61948e9 | − | 2.05082e9i | 0.376493 | − | 0.167144i | ||||
\(764\) | −3.29436e9 | −0.267266 | ||||||||
\(765\) | −1.67513e9 | + | 9.67139e8i | −0.135280 | + | 0.0781041i | ||||
\(766\) | 3.85144e9 | − | 6.67089e9i | 0.309615 | − | 0.536269i | ||||
\(767\) | 1.01258e10 | + | 5.85210e9i | 0.810300 | + | 0.468304i | ||||
\(768\) | −1.41292e9 | − | 2.44724e9i | −0.112552 | − | 0.194945i | ||||
\(769\) | 5.10110e9i | 0.404503i | 0.979334 | + | 0.202252i | \(0.0648259\pi\) | ||||
−0.979334 | + | 0.202252i | \(0.935174\pi\) | |||||||
\(770\) | 1.69500e8 | − | 1.59630e9i | 0.0133799 | − | 0.126008i | ||||
\(771\) | −1.77132e9 | −0.139189 | ||||||||
\(772\) | −3.53948e9 | + | 2.04352e9i | −0.276872 | + | 0.159852i | ||||
\(773\) | −1.65814e10 | − | 9.57329e9i | −1.29120 | − | 0.745475i | −0.312333 | − | 0.949973i | \(-0.601111\pi\) |
−0.978867 | + | 0.204498i | \(0.934444\pi\) | |||||||
\(774\) | 3.53238e8 | + | 2.03942e8i | 0.0273826 | + | 0.0158093i | ||||
\(775\) | 1.56614e10 | − | 9.04212e9i | 1.20858 | − | 0.697773i | ||||
\(776\) | 4.66528e9 | 0.358394 | ||||||||
\(777\) | −5.29135e9 | − | 3.85302e9i | −0.404662 | − | 0.294664i | ||||
\(778\) | − | 2.68104e10i | − | 2.04115i | ||||||
\(779\) | 1.42580e9 | + | 2.46956e9i | 0.108063 | + | 0.187171i | ||||
\(780\) | −1.42284e8 | − | 8.22314e7i | −0.0107356 | − | 0.00620450i | ||||
\(781\) | 4.95446e9 | − | 8.58138e9i | 0.372150 | − | 0.644582i | ||||
\(782\) | 2.28596e10 | − | 1.31980e10i | 1.70940 | − | 0.986924i | ||||
\(783\) | −9.34277e8 | −0.0695520 | ||||||||
\(784\) | 1.07115e10 | − | 1.18453e10i | 0.793857 | − | 0.877893i | ||||
\(785\) | 3.50044e9i | 0.258273i | ||||||||
\(786\) | −4.83060e9 | + | 2.78895e9i | −0.354831 | + | 0.204862i | ||||
\(787\) | 1.44967e10 | + | 8.36965e9i | 1.06012 | + | 0.612063i | 0.925466 | − | 0.378830i | \(-0.123673\pi\) |
0.134657 | + | 0.990892i | \(0.457007\pi\) | |||||||
\(788\) | −1.67370e9 | − | 9.66310e8i | −0.121853 | − | 0.0703517i | ||||
\(789\) | −1.58908e9 | − | 2.75237e9i | −0.115180 | − | 0.199497i | ||||
\(790\) | −1.37871e9 | −0.0994900 | ||||||||
\(791\) | 9.01122e9 | − | 1.23751e10i | 0.647390 | − | 0.889060i | ||||
\(792\) | 7.66647e9 | 0.548349 | ||||||||
\(793\) | 6.73294e9 | + | 1.16737e10i | 0.479456 | + | 0.831290i | ||||
\(794\) | −4.58576e8 | + | 7.94277e8i | −0.0325117 | + | 0.0563119i | ||||
\(795\) | 7.65924e8 | + | 4.42206e8i | 0.0540631 | + | 0.0312133i | ||||
\(796\) | 1.76323e8 | + | 3.05400e8i | 0.0123912 | + | 0.0214622i | ||||
\(797\) | −6.05642e9 | −0.423752 | −0.211876 | − | 0.977297i | \(-0.567957\pi\) | ||||
−0.211876 | + | 0.977297i | \(0.567957\pi\) | |||||||
\(798\) | −1.76920e9 | − | 1.87859e8i | −0.123244 | − | 0.0130864i | ||||
\(799\) | 2.44661e9i | 0.169688i | ||||||||
\(800\) | 5.80814e9 | − | 3.35333e9i | 0.401072 | − | 0.231559i | ||||
\(801\) | −2.06853e10 | − | 1.19427e10i | −1.42216 | − | 0.821085i | ||||
\(802\) | 8.24033e9 | − | 1.42727e10i | 0.564072 | − | 0.977001i | ||||
\(803\) | 5.01815e9 | + | 8.69169e9i | 0.342010 | + | 0.592379i | ||||
\(804\) | 4.69706e8i | 0.0318735i | ||||||||
\(805\) | −3.34651e9 | + | 1.48569e9i | −0.226103 | + | 0.100379i | ||||
\(806\) | −2.37017e10 | − | 1.04664e7i | −1.59443 | − | 0.000704086i | ||||
\(807\) | 3.07472e9 | + | 5.32557e9i | 0.205943 | + | 0.356705i | ||||
\(808\) | −9.40012e9 | − | 5.42716e9i | −0.626893 | − | 0.361937i | ||||
\(809\) | 1.18225e10 | − | 2.04771e10i | 0.785034 | − | 1.35972i | −0.143944 | − | 0.989586i | \(-0.545979\pi\) |
0.928979 | − | 0.370134i | \(-0.120688\pi\) | |||||||
\(810\) | −9.09316e8 | − | 1.57498e9i | −0.0601198 | − | 0.104131i | ||||
\(811\) | − | 2.73707e10i | − | 1.80183i | −0.433999 | − | 0.900913i | \(-0.642898\pi\) | ||
0.433999 | − | 0.900913i | \(-0.357102\pi\) | |||||||
\(812\) | 1.68388e8 | + | 3.79294e8i | 0.0110373 | + | 0.0248616i | ||||
\(813\) | 7.60320e9i | 0.496226i | ||||||||
\(814\) | −1.65195e10 | + | 9.53752e9i | −1.07352 | + | 0.619798i | ||||
\(815\) | 1.21676e9 | − | 2.10749e9i | 0.0787325 | − | 0.136369i | ||||
\(816\) | 3.36466e9 | − | 5.82777e9i | 0.216783 | − | 0.375480i | ||||
\(817\) | 1.45700e8 | − | 8.41201e7i | 0.00934723 | − | 0.00539663i | ||||
\(818\) | −1.95886e10 | −1.25131 | ||||||||
\(819\) | 1.39579e10 | + | 1.48833e9i | 0.887826 | + | 0.0946686i | ||||
\(820\) | −3.80518e8 | −0.0241005 | ||||||||
\(821\) | −1.73274e10 | + | 1.00040e10i | −1.09278 | + | 0.630916i | −0.934315 | − | 0.356448i | \(-0.883988\pi\) |
−0.158464 | + | 0.987365i | \(0.550654\pi\) | |||||||
\(822\) | −4.67576e9 | + | 8.09865e9i | −0.293630 | + | 0.508582i | ||||
\(823\) | −1.58918e8 | + | 2.75254e8i | −0.00993742 | + | 0.0172121i | −0.870951 | − | 0.491369i | \(-0.836497\pi\) |
0.861014 | + | 0.508581i | \(0.169830\pi\) | |||||||
\(824\) | −7.89085e8 | + | 4.55578e8i | −0.0491336 | + | 0.0283673i | ||||
\(825\) | − | 3.74533e9i | − | 0.232221i | ||||||
\(826\) | −9.94553e9 | + | 1.36582e10i | −0.614041 | + | 0.843262i | ||||
\(827\) | − | 1.40953e10i | − | 0.866575i | −0.901256 | − | 0.433287i | \(-0.857354\pi\) | ||
0.901256 | − | 0.433287i | \(-0.142646\pi\) | |||||||
\(828\) | 2.79617e9 | + | 4.84311e9i | 0.171182 | + | 0.296495i | ||||
\(829\) | −7.81842e7 | + | 1.35419e8i | −0.00476627 | + | 0.00825542i | −0.868399 | − | 0.495867i | \(-0.834850\pi\) |
0.863632 | + | 0.504122i | \(0.168184\pi\) | |||||||
\(830\) | −2.25167e9 | − | 1.30000e9i | −0.136689 | − | 0.0789172i | ||||
\(831\) | −4.55256e9 | − | 7.88526e9i | −0.275202 | − | 0.476664i | ||||
\(832\) | 1.08725e10 | + | 4.80118e6i | 0.654480 | + | 0.000289012i | ||||
\(833\) | 1.82531e10 | + | 3.92055e9i | 1.09416 | + | 0.235012i | ||||
\(834\) | − | 3.92324e9i | − | 0.234187i | ||||||
\(835\) | 8.88262e8 | + | 1.53852e9i | 0.0528006 | + | 0.0914532i | ||||
\(836\) | −5.05649e8 | + | 8.75810e8i | −0.0299314 | + | 0.0518428i | ||||
\(837\) | 1.30213e10 | + | 7.51788e9i | 0.767568 | + | 0.443156i | ||||
\(838\) | −8.91584e9 | + | 5.14756e9i | −0.523369 | + | 0.302167i | ||||
\(839\) | − | 1.44174e10i | − | 0.842790i | −0.906877 | − | 0.421395i | \(-0.861541\pi\) | ||
0.906877 | − | 0.421395i | \(-0.138459\pi\) | |||||||
\(840\) | −4.36981e8 | + | 6.00105e8i | −0.0254381 | + | 0.0349341i | ||||
\(841\) | −1.70325e10 | −0.987398 | ||||||||
\(842\) | −6.92540e9 | − | 1.19951e10i | −0.399809 | − | 0.692489i | ||||
\(843\) | 3.30675e9 | + | 1.90915e9i | 0.190110 | + | 0.109760i | ||||
\(844\) | 3.59069e9 | − | 6.21926e9i | 0.205579 | − | 0.356074i | ||||
\(845\) | 2.37573e9 | − | 1.36883e9i | 0.135456 | − | 0.0780462i | ||||
\(846\) | −2.65749e9 | −0.150895 | ||||||||
\(847\) | 8.28530e9 | + | 8.79759e8i | 0.468508 | + | 0.0497475i | ||||
\(848\) | 2.56410e10 | 1.44394 | ||||||||
\(849\) | 5.26898e9 | + | 9.12614e9i | 0.295495 | + | 0.511812i | ||||
\(850\) | 1.88686e10 | + | 1.08938e10i | 1.05384 | + | 0.608435i | ||||
\(851\) | 3.76793e10 | + | 2.17541e10i | 2.09580 | + | 1.21001i | ||||
\(852\) | 1.26913e9 | − | 7.32731e8i | 0.0703018 | − | 0.0405888i | ||||
\(853\) | 1.19888e10i | 0.661383i | 0.943739 | + | 0.330691i | \(0.107282\pi\) | ||||
−0.943739 | + | 0.330691i | \(0.892718\pi\) | |||||||
\(854\) | −1.77937e10 | + | 7.89952e9i | −0.977604 | + | 0.434008i | ||||
\(855\) | −8.66600e8 | −0.0474173 | ||||||||
\(856\) | −4.30948e9 | + | 2.48808e9i | −0.234837 | + | 0.135583i | ||||
\(857\) | −4.87435e9 | + | 8.44262e9i | −0.264535 | + | 0.458189i | −0.967442 | − | 0.253094i | \(-0.918552\pi\) |
0.702906 | + | 0.711282i | \(0.251885\pi\) | |||||||
\(858\) | −2.45624e9 | + | 4.25000e9i | −0.132759 | + | 0.229712i | ||||
\(859\) | 1.61064e10 | + | 2.78970e10i | 0.867004 | + | 1.50170i | 0.865043 | + | 0.501697i | \(0.167291\pi\) |
0.00196104 | + | 0.999998i | \(0.499376\pi\) | |||||||
\(860\) | 2.24500e7i | 0.00120357i | ||||||||
\(861\) | −3.56471e9 | + | 1.58256e9i | −0.190333 | + | 0.0844984i | ||||
\(862\) | −1.26462e10 | −0.672486 | ||||||||
\(863\) | 9.74681e9 | − | 5.62733e9i | 0.516208 | − | 0.298033i | −0.219174 | − | 0.975686i | \(-0.570336\pi\) |
0.735382 | + | 0.677653i | \(0.237003\pi\) | |||||||
\(864\) | 4.82905e9 | + | 2.78805e9i | 0.254720 | + | 0.147063i | ||||
\(865\) | 3.45370e9 | + | 1.99399e9i | 0.181438 | + | 0.104753i | ||||
\(866\) | −3.28834e8 | + | 1.89853e8i | −0.0172054 | + | 0.00993354i | ||||
\(867\) | 1.58547e9 | 0.0826209 | ||||||||
\(868\) | 7.05196e8 | − | 6.64133e9i | 0.0366008 | − | 0.344696i | ||||
\(869\) | 8.03259e9i | 0.415228i | ||||||||
\(870\) | −6.21786e7 | − | 1.07697e8i | −0.00320128 | − | 0.00554478i | ||||
\(871\) | −6.78509e9 | − | 3.92137e9i | −0.347930 | − | 0.201082i | ||||
\(872\) | −3.40567e9 | + | 5.89880e9i | −0.173938 | + | 0.301270i | ||||
\(873\) | −6.45090e9 | + | 3.72443e9i | −0.328148 | + | 0.189457i | ||||
\(874\) | 1.18260e10 | 0.599166 | ||||||||
\(875\) | −4.94750e9 | − | 3.60264e9i | −0.249665 | − | 0.181800i | ||||
\(876\) | 1.48430e9i | 0.0746031i | ||||||||
\(877\) | −1.02177e10 | + | 5.89921e9i | −0.511512 | + | 0.295322i | −0.733455 | − | 0.679738i | \(-0.762093\pi\) |
0.221943 | + | 0.975060i | \(0.428760\pi\) | |||||||
\(878\) | −1.58666e10 | − | 9.16061e9i | −0.791141 | − | 0.456766i | ||||
\(879\) | −1.02500e10 | − | 5.91786e9i | −0.509055 | − | 0.293903i | ||||
\(880\) | 1.36013e9 | + | 2.35581e9i | 0.0672808 | + | 0.116534i | ||||
\(881\) | 5.88203e9 | 0.289809 | 0.144904 | − | 0.989446i | \(-0.453713\pi\) | ||||
0.144904 | + | 0.989446i | \(0.453713\pi\) | |||||||
\(882\) | −4.25848e9 | + | 1.98265e10i | −0.208985 | + | 0.972983i | ||||
\(883\) | −2.44982e10 | −1.19749 | −0.598745 | − | 0.800939i | \(-0.704334\pi\) | ||||
−0.598745 | + | 0.800939i | \(0.704334\pi\) | |||||||
\(884\) | −2.78275e9 | − | 4.82479e9i | −0.135485 | − | 0.234907i | ||||
\(885\) | 4.93767e8 | − | 8.55229e8i | 0.0239453 | − | 0.0414745i | ||||
\(886\) | −1.86863e10 | − | 1.07885e10i | −0.902620 | − | 0.521128i | ||||
\(887\) | −9.40471e9 | − | 1.62894e10i | −0.452494 | − | 0.783742i | 0.546046 | − | 0.837755i | \(-0.316132\pi\) |
−0.998540 | + | 0.0540127i | \(0.982799\pi\) | |||||||
\(888\) | 8.82108e9 | 0.422743 | ||||||||
\(889\) | −1.51242e10 | + | 2.07700e10i | −0.721965 | + | 0.991474i | ||||
\(890\) | − | 6.74005e9i | − | 0.320478i | ||||||
\(891\) | −9.17608e9 | + | 5.29781e9i | −0.434595 | + | 0.250914i | ||||
\(892\) | 5.31825e9 | + | 3.07049e9i | 0.250895 | + | 0.144854i | ||||
\(893\) | −5.48068e8 | + | 9.49282e8i | −0.0257546 | + | 0.0446083i | ||||
\(894\) | −3.39165e9 | − | 5.87450e9i | −0.158756 | − | 0.274973i | ||||
\(895\) | 2.59108e9i | 0.120809i | ||||||||
\(896\) | −2.73777e9 | + | 2.57835e10i | −0.127151 | + | 1.19747i | ||||
\(897\) | 1.11963e10 | + | 4.94419e6i | 0.517966 | + | 0.000228729i | ||||
\(898\) | −1.56472e10 | − | 2.71017e10i | −0.721055 | − | 1.24890i | ||||
\(899\) | −3.02966e9 | − | 1.74917e9i | −0.139070 | − | 0.0802923i | ||||
\(900\) | −2.30800e9 | + | 3.99758e9i | −0.105533 | + | 0.182788i | ||||
\(901\) | 1.49874e10 | + | 2.59589e10i | 0.682636 | + | 1.18236i | ||||
\(902\) | 1.13660e10i | 0.515686i | ||||||||
\(903\) | 9.33686e7 | + | 2.10313e8i | 0.00421982 | + | 0.00950515i | ||||
\(904\) | 2.06302e10i | 0.928785i | ||||||||
\(905\) | 1.33720e9 | − | 7.72035e8i | 0.0599691 | − | 0.0346232i | ||||
\(906\) | −3.49924e9 | + | 6.06087e9i | −0.156324 | + | 0.270761i | ||||
\(907\) | −6.71557e9 | + | 1.16317e10i | −0.298853 | + | 0.517629i | −0.975874 | − | 0.218335i | \(-0.929937\pi\) |
0.677021 | + | 0.735964i | \(0.263271\pi\) | |||||||
\(908\) | 1.21563e9 | − | 7.01844e8i | 0.0538891 | − | 0.0311129i | ||||
\(909\) | 1.73307e10 | 0.765317 | ||||||||
\(910\) | 1.60563e9 | + | 3.62100e9i | 0.0706320 | + | 0.159288i | ||||
\(911\) | 1.24391e10 | 0.545097 | 0.272548 | − | 0.962142i | \(-0.412134\pi\) | ||||
0.272548 | + | 0.962142i | \(0.412134\pi\) | |||||||
\(912\) | 2.61097e9 | − | 1.50744e9i | 0.113978 | − | 0.0658051i | ||||
\(913\) | −7.57402e9 | + | 1.31186e10i | −0.329366 | + | 0.570478i | ||||
\(914\) | −1.58867e10 | + | 2.75165e10i | −0.688210 | + | 1.19201i | ||||
\(915\) | 9.85462e8 | − | 5.68957e8i | 0.0425271 | − | 0.0245531i | ||||
\(916\) | 6.11602e9i | 0.262927i | ||||||||
\(917\) | 2.60769e10 | + | 2.76892e9i | 1.11677 | + | 0.118582i | ||||
\(918\) | 1.81149e10i | 0.772833i | ||||||||
\(919\) | −4.10470e9 | − | 7.10956e9i | −0.174453 | − | 0.302161i | 0.765519 | − | 0.643413i | \(-0.222482\pi\) |
−0.939972 | + | 0.341252i | \(0.889149\pi\) | |||||||
\(920\) | 2.46719e9 | − | 4.27330e9i | 0.104459 | − | 0.180928i | ||||
\(921\) | 1.24960e10 | + | 7.21458e9i | 0.527063 | + | 0.304300i | ||||
\(922\) | −7.14779e9 | − | 1.23803e10i | −0.300340 | − | 0.520204i | ||||
\(923\) | −1.07970e7 | + | 2.44503e10i | −0.000451958 | + | 1.02348i | ||||
\(924\) | −1.11815e9 | − | 8.14208e8i | −0.0466282 | − | 0.0339534i | ||||
\(925\) | 3.59124e10i | 1.49193i | ||||||||
\(926\) | 1.39225e10 | + | 2.41146e10i | 0.576209 | + | 0.998024i | ||||
\(927\) | 7.27403e8 | − | 1.25990e9i | 0.0299914 | − | 0.0519466i | ||||
\(928\) | −1.12357e9 | − | 6.48692e8i | −0.0461510 | − | 0.0266453i | ||||
\(929\) | 2.49499e10 | − | 1.44048e10i | 1.02097 | − | 0.589458i | 0.106587 | − | 0.994303i | \(-0.466008\pi\) |
0.914385 | + | 0.404845i | \(0.132675\pi\) | |||||||
\(930\) | 2.00134e9i | 0.0815888i | ||||||||
\(931\) | 6.20395e9 | + | 5.61008e9i | 0.251968 | + | 0.227848i | ||||
\(932\) | 7.61976e9 | 0.308308 | ||||||||
\(933\) | −2.59823e9 | − | 4.50027e9i | −0.104735 | − | 0.181407i | ||||
\(934\) | −1.39035e10 | − | 8.02719e9i | −0.558355 | − | 0.322366i | ||||
\(935\) | −1.59001e9 | + | 2.75399e9i | −0.0636152 | + | 0.110185i | ||||
\(936\) | −1.63868e10 | + | 9.45128e9i | −0.653174 | + | 0.376726i | ||||
\(937\) | −4.23519e10 | −1.68184 | −0.840919 | − | 0.541161i | \(-0.817985\pi\) | ||||
−0.840919 | + | 0.541161i | \(0.817985\pi\) | |||||||
\(938\) | 6.66428e9 | − | 9.15205e9i | 0.263660 | − | 0.362083i | ||||
\(939\) | 5.41674e9 | 0.213505 | ||||||||
\(940\) | −7.31344e7 | − | 1.26672e8i | −0.00287193 | − | 0.00497433i | ||||
\(941\) | 1.37164e9 | + | 7.91918e8i | 0.0536633 | + | 0.0309825i | 0.526592 | − | 0.850118i | \(-0.323470\pi\) |
−0.472928 | + | 0.881101i | \(0.656803\pi\) | |||||||
\(942\) | 1.33917e10 | + | 7.73168e9i | 0.521983 | + | 0.301367i | ||||
\(943\) | 2.24515e10 | − | 1.29624e10i | 0.871875 | − | 0.503377i | ||||
\(944\) | − | 2.86307e10i | − | 1.10772i | ||||||
\(945\) | 2.65323e8 | − | 2.49873e9i | 0.0102274 | − | 0.0963182i | ||||
\(946\) | 6.70579e8 | 0.0257532 | ||||||||
\(947\) | 2.03737e10 | − | 1.17628e10i | 0.779551 | − | 0.450074i | −0.0567199 | − | 0.998390i | \(-0.518064\pi\) |
0.836271 | + | 0.548316i | \(0.184731\pi\) | |||||||
\(948\) | −5.93982e8 | + | 1.02881e9i | −0.0226435 | + | 0.0392198i | ||||
\(949\) | −2.14413e10 | − | 1.23918e10i | −0.814365 | − | 0.470653i | ||||
\(950\) | 4.88068e9 | + | 8.45358e9i | 0.184692 | + | 0.319895i | ||||
\(951\) | − | 4.25487e9i | − | 0.160419i | ||||||
\(952\) | −2.29956e10 | + | 1.02089e10i | −0.863803 | + | 0.383486i | ||||
\(953\) | −1.03711e10 | −0.388150 | −0.194075 | − | 0.980987i | \(-0.562171\pi\) | ||||
−0.194075 | + | 0.980987i | \(0.562171\pi\) | |||||||
\(954\) | −2.81964e10 | + | 1.62792e10i | −1.05142 | + | 0.607036i | ||||
\(955\) | −4.01933e9 | − | 2.32056e9i | −0.149328 | − | 0.0862147i | ||||
\(956\) | 7.29728e9 | + | 4.21308e9i | 0.270121 | + | 0.155954i | ||||
\(957\) | −6.27456e8 | + | 3.62262e8i | −0.0231415 | + | 0.0133608i | ||||
\(958\) | 1.41698e10 | 0.520696 | ||||||||
\(959\) | 4.01826e10 | − | 1.78391e10i | 1.47121 | − | 0.653143i | ||||
\(960\) | − | 9.18058e8i | − | 0.0334904i | ||||||
\(961\) | 1.43939e10 | + | 2.49310e10i | 0.523176 | + | 0.906168i | ||||
\(962\) | 2.35518e10 | − | 4.07514e10i | 0.852928 | − | 1.47581i | ||||
\(963\) | 3.97262e9 | − | 6.88077e9i | 0.143346 | − | 0.248282i | ||||
\(964\) | −5.42796e9 | + | 3.13383e9i | −0.195149 | + | 0.112669i | ||||
\(965\) | −5.75785e9 | −0.206260 | ||||||||
\(966\) | −1.70788e9 | + | 1.60843e10i | −0.0609590 | + | 0.574094i | ||||
\(967\) | − | 4.81846e8i | − | 0.0171363i | −0.999963 | − | 0.00856813i | \(-0.997273\pi\) | ||
0.999963 | − | 0.00856813i | \(-0.00272735\pi\) | |||||||
\(968\) | −9.72412e9 | + | 5.61422e9i | −0.344577 | + | 0.198942i | ||||
\(969\) | 3.05227e9 | + | 1.76223e9i | 0.107768 | + | 0.0622198i | ||||
\(970\) | −1.82033e9 | − | 1.05097e9i | −0.0640398 | − | 0.0369734i | ||||
\(971\) | −2.65049e10 | − | 4.59079e10i | −0.929093 | − | 1.60924i | −0.784843 | − | 0.619695i | \(-0.787256\pi\) |
−0.144250 | − | 0.989541i | \(-0.546077\pi\) | |||||||
\(972\) | −5.86543e9 | −0.204865 | ||||||||
\(973\) | −1.08573e10 | + | 1.49103e10i | −0.377856 | + | 0.518908i | ||||
\(974\) | 1.81375e10 | 0.628959 | ||||||||
\(975\) | 4.61727e9 | + | 8.00551e9i | 0.159540 | + | 0.276613i | ||||
\(976\) | 1.64953e10 | − | 2.85707e10i | 0.567918 | − | 0.983662i | ||||
\(977\) | 1.28809e10 | + | 7.43679e9i | 0.441891 | + | 0.255126i | 0.704399 | − | 0.709804i | \(-0.251216\pi\) |
−0.262508 | + | 0.964930i | \(0.584550\pi\) | |||||||
\(978\) | −5.37510e9 | − | 9.30995e9i | −0.183739 | − | 0.318245i | ||||
\(979\) | −3.92685e10 | −1.33753 | ||||||||
\(980\) | −1.06224e9 | + | 3.42640e8i | −0.0360523 | + | 0.0116291i | ||||
\(981\) | − | 1.08754e10i | − | 0.367793i | ||||||
\(982\) | 1.19865e10 | − | 6.92041e9i | 0.403927 | − | 0.233207i | ||||
\(983\) | 3.85211e10 | + | 2.22402e10i | 1.29349 | + | 0.746794i | 0.979270 | − | 0.202558i | \(-0.0649254\pi\) |
0.314215 | + | 0.949352i | \(0.398259\pi\) | |||||||
\(984\) | 2.62806e9 | − | 4.55193e9i | 0.0879330 | − | 0.152304i | ||||
\(985\) | −1.36135e9 | − | 2.35792e9i | −0.0453881 | − | 0.0786144i | ||||
\(986\) | − | 4.21476e9i | − | 0.140024i | ||||||
\(987\) | −1.21195e9 | − | 8.82512e8i | −0.0401213 | − | 0.0292153i | ||||
\(988\) | 1.10194e6 | − | 2.49538e9i | 3.63502e−5 | − | 0.0823166i | ||||
\(989\) | −7.64762e8 | − | 1.32461e9i | −0.0251385 | − | 0.0435411i | ||||
\(990\) | −2.99136e9 | − | 1.72706e9i | −0.0979820 | − | 0.0565699i | ||||
\(991\) | 1.14584e10 | − | 1.98465e10i | 0.373995 | − | 0.647779i | −0.616181 | − | 0.787605i | \(-0.711321\pi\) |
0.990176 | + | 0.139826i | \(0.0446542\pi\) | |||||||
\(992\) | 1.04397e10 | + | 1.80821e10i | 0.339545 | + | 0.588109i | ||||
\(993\) | − | 2.30193e9i | − | 0.0746053i | ||||||
\(994\) | −3.51246e10 | − | 3.72964e9i | −1.13438 | − | 0.120452i | ||||
\(995\) | 4.96810e8i | 0.0159886i | ||||||||
\(996\) | −1.94015e9 | + | 1.12014e9i | −0.0622196 | + | 0.0359225i | ||||
\(997\) | 1.21137e10 | − | 2.09815e10i | 0.387118 | − | 0.670508i | −0.604943 | − | 0.796269i | \(-0.706804\pi\) |
0.992061 | + | 0.125761i | \(0.0401374\pi\) | |||||||
\(998\) | 7.34966e9 | − | 1.27300e10i | 0.234051 | − | 0.405388i | ||||
\(999\) | −2.58583e10 | + | 1.49293e10i | −0.820580 | + | 0.473762i |
(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 | 91.8.r.a.25.17 | ✓ | 128 | |
7.2 | even | 3 | inner | 91.8.r.a.51.48 | yes | 128 | |
13.12 | even | 2 | inner | 91.8.r.a.25.48 | yes | 128 | |
91.51 | even | 6 | inner | 91.8.r.a.51.17 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.8.r.a.25.17 | ✓ | 128 | 1.1 | even | 1 | trivial | |
91.8.r.a.25.48 | yes | 128 | 13.12 | even | 2 | inner | |
91.8.r.a.51.17 | yes | 128 | 91.51 | even | 6 | inner | |
91.8.r.a.51.48 | yes | 128 | 7.2 | even | 3 | inner |