Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [50,6,Mod(11,50)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(50, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("50.11");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 50 = 2 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 50.d (of order \(5\), degree \(4\), 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: | \(8.01919099065\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 11.5 | ||
Character | \(\chi\) | \(=\) | 50.11 |
Dual form | 50.6.d.a.41.5 |
$q$-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 \(\left(\mathbb{Z}/50\mathbb{Z}\right)^\times\).
\(n\) | \(27\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.23607 | + | 2.35114i | −0.572061 | + | 0.415627i | ||||
\(3\) | 5.67913 | − | 17.4786i | 0.364317 | − | 1.12125i | −0.586091 | − | 0.810245i | \(-0.699334\pi\) |
0.950408 | − | 0.311006i | \(-0.100666\pi\) | |||||||
\(4\) | 4.94427 | − | 15.2169i | 0.154508 | − | 0.475528i | ||||
\(5\) | 6.69834 | − | 55.4989i | 0.119823 | − | 0.992795i | ||||
\(6\) | 22.7165 | + | 69.9143i | 0.257611 | + | 0.792844i | ||||
\(7\) | −86.1311 | −0.664377 | −0.332189 | − | 0.943213i | \(-0.607787\pi\) | ||||
−0.332189 | + | 0.943213i | \(0.607787\pi\) | |||||||
\(8\) | 19.7771 | + | 60.8676i | 0.109254 | + | 0.336249i | ||||
\(9\) | −76.6568 | − | 55.6945i | −0.315460 | − | 0.229195i | ||||
\(10\) | 108.810 | + | 195.347i | 0.344086 | + | 0.617742i | ||||
\(11\) | −370.519 | + | 269.198i | −0.923270 | + | 0.670795i | −0.944336 | − | 0.328983i | \(-0.893294\pi\) |
0.0210655 | + | 0.999778i | \(0.493294\pi\) | |||||||
\(12\) | −237.891 | − | 172.838i | −0.476897 | − | 0.346486i | ||||
\(13\) | −147.354 | − | 107.059i | −0.241827 | − | 0.175697i | 0.460270 | − | 0.887779i | \(-0.347753\pi\) |
−0.702097 | + | 0.712082i | \(0.747753\pi\) | |||||||
\(14\) | 278.726 | − | 202.506i | 0.380065 | − | 0.276133i | ||||
\(15\) | −932.002 | − | 432.263i | −1.06952 | − | 0.496044i | ||||
\(16\) | −207.108 | − | 150.473i | −0.202254 | − | 0.146946i | ||||
\(17\) | −394.287 | − | 1213.49i | −0.330895 | − | 1.01839i | −0.968709 | − | 0.248199i | \(-0.920161\pi\) |
0.637814 | − | 0.770190i | \(-0.279839\pi\) | |||||||
\(18\) | 379.012 | 0.275722 | ||||||||
\(19\) | −338.184 | − | 1040.82i | −0.214916 | − | 0.661443i | −0.999160 | − | 0.0409903i | \(-0.986949\pi\) |
0.784244 | − | 0.620453i | \(-0.213051\pi\) | |||||||
\(20\) | −811.404 | − | 376.330i | −0.453588 | − | 0.210375i | ||||
\(21\) | −489.150 | + | 1505.45i | −0.242044 | + | 0.744934i | ||||
\(22\) | 566.103 | − | 1742.29i | 0.249367 | − | 0.767472i | ||||
\(23\) | −1138.15 | + | 826.914i | −0.448621 | + | 0.325942i | −0.789051 | − | 0.614328i | \(-0.789427\pi\) |
0.340430 | + | 0.940270i | \(0.389427\pi\) | |||||||
\(24\) | 1176.20 | 0.416823 | ||||||||
\(25\) | −3035.26 | − | 743.501i | −0.971285 | − | 0.237920i | ||||
\(26\) | 728.559 | 0.211364 | ||||||||
\(27\) | 2204.16 | − | 1601.42i | 0.581880 | − | 0.422761i | ||||
\(28\) | −425.855 | + | 1310.65i | −0.102652 | + | 0.315930i | ||||
\(29\) | 252.462 | − | 776.999i | 0.0557445 | − | 0.171564i | −0.919308 | − | 0.393539i | \(-0.871251\pi\) |
0.975052 | + | 0.221976i | \(0.0712505\pi\) | |||||||
\(30\) | 4032.33 | − | 792.434i | 0.818000 | − | 0.160753i | ||||
\(31\) | 1769.12 | + | 5444.80i | 0.330639 | + | 1.01760i | 0.968831 | + | 0.247724i | \(0.0796825\pi\) |
−0.638192 | + | 0.769877i | \(0.720317\pi\) | |||||||
\(32\) | 1024.00 | 0.176777 | ||||||||
\(33\) | 2600.97 | + | 8004.96i | 0.415767 | + | 1.27960i | ||||
\(34\) | 4129.02 | + | 2999.91i | 0.612562 | + | 0.445052i | ||||
\(35\) | −576.935 | + | 4780.18i | −0.0796080 | + | 0.659591i | ||||
\(36\) | −1226.51 | + | 891.111i | −0.157730 | + | 0.114598i | ||||
\(37\) | −1524.38 | − | 1107.53i | −0.183058 | − | 0.133000i | 0.492482 | − | 0.870322i | \(-0.336090\pi\) |
−0.675540 | + | 0.737323i | \(0.736090\pi\) | |||||||
\(38\) | 3541.51 | + | 2573.05i | 0.397859 | + | 0.289061i | ||||
\(39\) | −2708.08 | + | 1967.54i | −0.285102 | + | 0.207139i | ||||
\(40\) | 3510.56 | − | 689.896i | 0.346918 | − | 0.0681763i | ||||
\(41\) | −4470.31 | − | 3247.87i | −0.415315 | − | 0.301744i | 0.360435 | − | 0.932784i | \(-0.382628\pi\) |
−0.775750 | + | 0.631040i | \(0.782628\pi\) | |||||||
\(42\) | −1956.60 | − | 6021.79i | −0.171151 | − | 0.526748i | ||||
\(43\) | 16377.6 | 1.35076 | 0.675381 | − | 0.737469i | \(-0.263979\pi\) | ||||
0.675381 | + | 0.737469i | \(0.263979\pi\) | |||||||
\(44\) | 2264.41 | + | 6969.14i | 0.176329 | + | 0.542685i | ||||
\(45\) | −3604.46 | + | 3881.31i | −0.265344 | + | 0.285724i | ||||
\(46\) | 1738.94 | − | 5351.90i | 0.121168 | − | 0.372918i | ||||
\(47\) | 8617.72 | − | 26522.6i | 0.569047 | − | 1.75135i | −0.0865645 | − | 0.996246i | \(-0.527589\pi\) |
0.655611 | − | 0.755099i | \(-0.272411\pi\) | |||||||
\(48\) | −3806.25 | + | 2765.40i | −0.238448 | + | 0.173243i | ||||
\(49\) | −9388.44 | −0.558603 | ||||||||
\(50\) | 11570.4 | − | 4730.32i | 0.654521 | − | 0.267587i | ||||
\(51\) | −23449.3 | −1.26242 | ||||||||
\(52\) | −2357.67 | + | 1712.95i | −0.120913 | + | 0.0878487i | ||||
\(53\) | 12317.4 | − | 37909.1i | 0.602324 | − | 1.85376i | 0.0880905 | − | 0.996112i | \(-0.471924\pi\) |
0.514234 | − | 0.857650i | \(-0.328076\pi\) | |||||||
\(54\) | −3367.66 | + | 10364.6i | −0.157160 | + | 0.483690i | ||||
\(55\) | 12458.3 | + | 22366.6i | 0.555333 | + | 0.996995i | ||||
\(56\) | −1703.42 | − | 5242.59i | −0.0725859 | − | 0.223396i | ||||
\(57\) | −20112.7 | −0.819942 | ||||||||
\(58\) | 1009.85 | + | 3108.00i | 0.0394173 | + | 0.121314i | ||||
\(59\) | 4421.59 | + | 3212.47i | 0.165367 | + | 0.120146i | 0.667391 | − | 0.744708i | \(-0.267411\pi\) |
−0.502024 | + | 0.864854i | \(0.667411\pi\) | |||||||
\(60\) | −11185.8 | + | 12045.0i | −0.401133 | + | 0.431943i | ||||
\(61\) | −29357.2 | + | 21329.2i | −1.01016 | + | 0.733923i | −0.964242 | − | 0.265022i | \(-0.914621\pi\) |
−0.0459160 | + | 0.998945i | \(0.514621\pi\) | |||||||
\(62\) | −18526.5 | − | 13460.3i | −0.612088 | − | 0.444708i | ||||
\(63\) | 6602.54 | + | 4797.02i | 0.209585 | + | 0.152272i | ||||
\(64\) | −3313.73 | + | 2407.57i | −0.101127 | + | 0.0734732i | ||||
\(65\) | −6928.69 | + | 7460.89i | −0.203408 | + | 0.219032i | ||||
\(66\) | −27237.7 | − | 19789.3i | −0.769680 | − | 0.559205i | ||||
\(67\) | 11469.3 | + | 35298.8i | 0.312139 | + | 0.960666i | 0.976916 | + | 0.213624i | \(0.0685268\pi\) |
−0.664776 | + | 0.747042i | \(0.731473\pi\) | |||||||
\(68\) | −20415.0 | −0.535399 | ||||||||
\(69\) | 7989.57 | + | 24589.4i | 0.202023 | + | 0.621763i | ||||
\(70\) | −9371.88 | − | 16825.5i | −0.228603 | − | 0.410414i | ||||
\(71\) | 17440.2 | − | 53675.5i | 0.410588 | − | 1.26366i | −0.505550 | − | 0.862797i | \(-0.668710\pi\) |
0.916138 | − | 0.400863i | \(-0.131290\pi\) | |||||||
\(72\) | 1873.94 | − | 5767.39i | 0.0426015 | − | 0.131114i | ||||
\(73\) | 69985.6 | − | 50847.5i | 1.53710 | − | 1.11677i | 0.584975 | − | 0.811051i | \(-0.301104\pi\) |
0.952123 | − | 0.305716i | \(-0.0988958\pi\) | |||||||
\(74\) | 7536.95 | 0.159999 | ||||||||
\(75\) | −30233.0 | + | 48829.7i | −0.620623 | + | 1.00238i | ||||
\(76\) | −17510.2 | −0.347741 | ||||||||
\(77\) | 31913.2 | − | 23186.3i | 0.613400 | − | 0.445661i | ||||
\(78\) | 4137.59 | − | 12734.2i | 0.0770035 | − | 0.236992i | ||||
\(79\) | −6465.63 | + | 19899.2i | −0.116558 | + | 0.358730i | −0.992269 | − | 0.124107i | \(-0.960393\pi\) |
0.875711 | + | 0.482837i | \(0.160393\pi\) | |||||||
\(80\) | −9738.37 | + | 10486.4i | −0.170122 | + | 0.183189i | ||||
\(81\) | −22587.9 | − | 69518.3i | −0.382527 | − | 1.17730i | ||||
\(82\) | 22102.4 | 0.362999 | ||||||||
\(83\) | 10204.4 | + | 31405.9i | 0.162590 | + | 0.500399i | 0.998851 | − | 0.0479324i | \(-0.0152632\pi\) |
−0.836261 | + | 0.548331i | \(0.815263\pi\) | |||||||
\(84\) | 20489.8 | + | 14886.7i | 0.316839 | + | 0.230197i | ||||
\(85\) | −69988.4 | + | 13754.1i | −1.05070 | + | 0.206484i | ||||
\(86\) | −52999.0 | + | 38506.0i | −0.772719 | + | 0.561413i | ||||
\(87\) | −12147.1 | − | 8825.36i | −0.172057 | − | 0.125007i | ||||
\(88\) | −23713.2 | − | 17228.7i | −0.326425 | − | 0.237162i | ||||
\(89\) | 53042.2 | − | 38537.4i | 0.709817 | − | 0.515712i | −0.173298 | − | 0.984870i | \(-0.555442\pi\) |
0.883115 | + | 0.469157i | \(0.155442\pi\) | |||||||
\(90\) | 2538.75 | − | 21034.8i | 0.0330380 | − | 0.273736i | ||||
\(91\) | 12691.8 | + | 9221.12i | 0.160664 | + | 0.116729i | ||||
\(92\) | 6955.75 | + | 21407.6i | 0.0856790 | + | 0.263693i | ||||
\(93\) | 105214. | 1.26144 | ||||||||
\(94\) | 34470.9 | + | 106090.i | 0.402377 | + | 1.23839i | ||||
\(95\) | −60029.8 | + | 11797.1i | −0.682430 | + | 0.134111i | ||||
\(96\) | 5815.43 | − | 17898.1i | 0.0644027 | − | 0.198211i | ||||
\(97\) | 26173.2 | − | 80552.8i | 0.282441 | − | 0.869263i | −0.704713 | − | 0.709492i | \(-0.748924\pi\) |
0.987154 | − | 0.159771i | \(-0.0510756\pi\) | |||||||
\(98\) | 30381.6 | − | 22073.5i | 0.319555 | − | 0.232170i | ||||
\(99\) | 43395.7 | 0.444998 | ||||||||
\(100\) | −26321.0 | + | 42511.3i | −0.263210 | + | 0.425113i | ||||
\(101\) | 102368. | 0.998532 | 0.499266 | − | 0.866449i | \(-0.333603\pi\) | ||||
0.499266 | + | 0.866449i | \(0.333603\pi\) | |||||||
\(102\) | 75883.4 | − | 55132.5i | 0.722182 | − | 0.524696i | ||||
\(103\) | −31058.2 | + | 95587.4i | −0.288459 | + | 0.887785i | 0.696882 | + | 0.717186i | \(0.254570\pi\) |
−0.985341 | + | 0.170599i | \(0.945430\pi\) | |||||||
\(104\) | 3602.20 | − | 11086.4i | 0.0326576 | − | 0.100510i | ||||
\(105\) | 80274.3 | + | 37231.3i | 0.710564 | + | 0.329560i | ||||
\(106\) | 49269.7 | + | 151637.i | 0.425907 | + | 1.31081i | ||||
\(107\) | −210035. | −1.77350 | −0.886752 | − | 0.462245i | \(-0.847044\pi\) | ||||
−0.886752 | + | 0.462245i | \(0.847044\pi\) | |||||||
\(108\) | −13470.6 | − | 41458.3i | −0.111129 | − | 0.342021i | ||||
\(109\) | 92005.6 | + | 66846.0i | 0.741734 | + | 0.538901i | 0.893254 | − | 0.449553i | \(-0.148417\pi\) |
−0.151520 | + | 0.988454i | \(0.548417\pi\) | |||||||
\(110\) | −92903.0 | − | 43088.5i | −0.732063 | − | 0.339531i | ||||
\(111\) | −28015.2 | + | 20354.2i | −0.215817 | + | 0.156800i | ||||
\(112\) | 17838.5 | + | 12960.4i | 0.134373 | + | 0.0976278i | ||||
\(113\) | −85889.9 | − | 62402.6i | −0.632770 | − | 0.459734i | 0.224589 | − | 0.974454i | \(-0.427896\pi\) |
−0.857359 | + | 0.514719i | \(0.827896\pi\) | |||||||
\(114\) | 65086.0 | − | 47287.8i | 0.469057 | − | 0.340790i | ||||
\(115\) | 38269.1 | + | 68705.0i | 0.269839 | + | 0.484444i | ||||
\(116\) | −10575.3 | − | 7683.39i | −0.0729704 | − | 0.0530161i | ||||
\(117\) | 5333.11 | + | 16413.6i | 0.0360177 | + | 0.110851i | ||||
\(118\) | −21861.6 | −0.144536 | ||||||||
\(119\) | 33960.3 | + | 104519.i | 0.219839 | + | 0.676594i | ||||
\(120\) | 7878.55 | − | 65277.6i | 0.0499452 | − | 0.413820i | ||||
\(121\) | 15049.4 | − | 46317.3i | 0.0934450 | − | 0.287594i | ||||
\(122\) | 44853.7 | − | 138046.i | 0.272834 | − | 0.839698i | ||||
\(123\) | −82155.6 | + | 59689.5i | −0.489637 | + | 0.355742i | ||||
\(124\) | 91600.0 | 0.534984 | ||||||||
\(125\) | −61594.7 | + | 163474.i | −0.352589 | + | 0.935778i | ||||
\(126\) | −32644.7 | −0.183184 | ||||||||
\(127\) | 7754.52 | − | 5633.99i | 0.0426624 | − | 0.0309961i | −0.566250 | − | 0.824234i | \(-0.691606\pi\) |
0.608912 | + | 0.793238i | \(0.291606\pi\) | |||||||
\(128\) | 5062.93 | − | 15582.1i | 0.0273135 | − | 0.0840623i | ||||
\(129\) | 93010.6 | − | 286257.i | 0.492105 | − | 1.51454i | ||||
\(130\) | 4880.13 | − | 40434.3i | 0.0253264 | − | 0.209841i | ||||
\(131\) | −20971.2 | − | 64542.7i | −0.106769 | − | 0.328601i | 0.883373 | − | 0.468671i | \(-0.155267\pi\) |
−0.990142 | + | 0.140070i | \(0.955267\pi\) | |||||||
\(132\) | 134671. | 0.672725 | ||||||||
\(133\) | 29128.1 | + | 89647.2i | 0.142785 | + | 0.439448i | ||||
\(134\) | −120108. | − | 87263.4i | −0.577842 | − | 0.419827i | ||||
\(135\) | −74112.7 | − | 133055.i | −0.349992 | − | 0.628345i | ||||
\(136\) | 66064.4 | − | 47998.6i | 0.306281 | − | 0.222526i | ||||
\(137\) | −230235. | − | 167275.i | −1.04802 | − | 0.761431i | −0.0761849 | − | 0.997094i | \(-0.524274\pi\) |
−0.971835 | + | 0.235663i | \(0.924274\pi\) | |||||||
\(138\) | −83667.9 | − | 60788.3i | −0.373991 | − | 0.271720i | ||||
\(139\) | −328409. | + | 238603.i | −1.44171 | + | 1.04746i | −0.454028 | + | 0.890987i | \(0.650013\pi\) |
−0.987682 | + | 0.156476i | \(0.949987\pi\) | |||||||
\(140\) | 69887.1 | + | 32413.7i | 0.301354 | + | 0.139768i | ||||
\(141\) | −414636. | − | 301251.i | −1.75638 | − | 1.27609i | ||||
\(142\) | 69760.9 | + | 214702.i | 0.290330 | + | 0.893543i | ||||
\(143\) | 83417.6 | 0.341128 | ||||||||
\(144\) | 7495.76 | + | 23069.6i | 0.0301238 | + | 0.0927114i | ||||
\(145\) | −41431.6 | − | 19216.0i | −0.163648 | − | 0.0759002i | ||||
\(146\) | −106928. | + | 329092.i | −0.415156 | + | 1.27772i | ||||
\(147\) | −53318.2 | + | 164097.i | −0.203508 | + | 0.626334i | ||||
\(148\) | −24390.1 | + | 17720.4i | −0.0915291 | + | 0.0664998i | ||||
\(149\) | −180605. | −0.666444 | −0.333222 | − | 0.942848i | \(-0.608136\pi\) | ||||
−0.333222 | + | 0.942848i | \(0.608136\pi\) | |||||||
\(150\) | −16969.3 | − | 229098.i | −0.0615796 | − | 0.831368i | ||||
\(151\) | 547956. | 1.95570 | 0.977852 | − | 0.209295i | \(-0.0671170\pi\) | ||||
0.977852 | + | 0.209295i | \(0.0671170\pi\) | |||||||
\(152\) | 56664.1 | − | 41168.9i | 0.198929 | − | 0.144531i | ||||
\(153\) | −37359.9 | + | 114982.i | −0.129026 | + | 0.397101i | ||||
\(154\) | −48759.0 | + | 150065.i | −0.165674 | + | 0.509891i | ||||
\(155\) | 314031. | − | 61713.3i | 1.04989 | − | 0.206324i | ||||
\(156\) | 16550.3 | + | 50936.7i | 0.0544497 | + | 0.167579i | ||||
\(157\) | −391840. | −1.26870 | −0.634351 | − | 0.773045i | \(-0.718733\pi\) | ||||
−0.634351 | + | 0.773045i | \(0.718733\pi\) | |||||||
\(158\) | −25862.5 | − | 79596.7i | −0.0824192 | − | 0.253660i | ||||
\(159\) | −592645. | − | 430582.i | −1.85910 | − | 1.35071i | ||||
\(160\) | 6859.10 | − | 56830.9i | 0.0211820 | − | 0.175503i | ||||
\(161\) | 98030.0 | − | 71223.0i | 0.298054 | − | 0.216549i | ||||
\(162\) | 236543. | + | 171859.i | 0.708146 | + | 0.514498i | ||||
\(163\) | −19353.8 | − | 14061.4i | −0.0570555 | − | 0.0414532i | 0.558892 | − | 0.829240i | \(-0.311227\pi\) |
−0.615947 | + | 0.787787i | \(0.711227\pi\) | |||||||
\(164\) | −71524.9 | + | 51965.9i | −0.207658 | + | 0.150872i | ||||
\(165\) | 461689. | − | 90731.1i | 1.32020 | − | 0.259446i | ||||
\(166\) | −106862. | − | 77639.7i | −0.300990 | − | 0.218682i | ||||
\(167\) | 180893. | + | 556732.i | 0.501916 | + | 1.54474i | 0.805894 | + | 0.592060i | \(0.201685\pi\) |
−0.303978 | + | 0.952679i | \(0.598315\pi\) | |||||||
\(168\) | −101307. | −0.276928 | ||||||||
\(169\) | −104484. | − | 321569.i | −0.281406 | − | 0.866080i | ||||
\(170\) | 194149. | − | 209062.i | 0.515245 | − | 0.554821i | ||||
\(171\) | −32043.9 | + | 98621.1i | −0.0838023 | + | 0.257917i | ||||
\(172\) | 80975.3 | − | 249216.i | 0.208704 | − | 0.642326i | ||||
\(173\) | 399113. | − | 289973.i | 1.01387 | − | 0.736617i | 0.0488497 | − | 0.998806i | \(-0.484444\pi\) |
0.965016 | + | 0.262189i | \(0.0844445\pi\) | |||||||
\(174\) | 60058.4 | 0.150384 | ||||||||
\(175\) | 261431. | + | 64038.5i | 0.645299 | + | 0.158069i | ||||
\(176\) | 117245. | 0.285306 | ||||||||
\(177\) | 81260.3 | − | 59039.0i | 0.194960 | − | 0.141647i | ||||
\(178\) | −81041.3 | + | 249419.i | −0.191715 | + | 0.590038i | ||||
\(179\) | 134322. | − | 413402.i | 0.313340 | − | 0.964362i | −0.663092 | − | 0.748538i | \(-0.730756\pi\) |
0.976432 | − | 0.215824i | \(-0.0692438\pi\) | |||||||
\(180\) | 41240.2 | + | 74038.9i | 0.0948722 | + | 0.170325i | ||||
\(181\) | 129592. | + | 398842.i | 0.294022 | + | 0.904908i | 0.983548 | + | 0.180647i | \(0.0578190\pi\) |
−0.689526 | + | 0.724261i | \(0.742181\pi\) | |||||||
\(182\) | −62751.6 | −0.140426 | ||||||||
\(183\) | 206081. | + | 634253.i | 0.454894 | + | 1.40002i | ||||
\(184\) | −72841.5 | − | 52922.5i | −0.158611 | − | 0.115238i | ||||
\(185\) | −71677.4 | + | 77182.9i | −0.153976 | + | 0.165803i | ||||
\(186\) | −340481. | + | 247374.i | −0.721623 | + | 0.524290i | ||||
\(187\) | 472760. | + | 343480.i | 0.988636 | + | 0.718286i | ||||
\(188\) | −360984. | − | 262270.i | −0.744892 | − | 0.541195i | ||||
\(189\) | −189847. | + | 137932.i | −0.386588 | + | 0.280873i | ||||
\(190\) | 166524. | − | 179315.i | 0.334652 | − | 0.360356i | ||||
\(191\) | 254511. | + | 184913.i | 0.504804 | + | 0.366761i | 0.810849 | − | 0.585256i | \(-0.199006\pi\) |
−0.306045 | + | 0.952017i | \(0.599006\pi\) | |||||||
\(192\) | 23261.7 | + | 71592.2i | 0.0455396 | + | 0.140156i | ||||
\(193\) | 177800. | 0.343589 | 0.171795 | − | 0.985133i | \(-0.445043\pi\) | ||||
0.171795 | + | 0.985133i | \(0.445043\pi\) | |||||||
\(194\) | 104693. | + | 322211.i | 0.199716 | + | 0.614662i | ||||
\(195\) | 91056.7 | + | 163475.i | 0.171485 | + | 0.307868i | ||||
\(196\) | −46419.0 | + | 142863.i | −0.0863089 | + | 0.265631i | ||||
\(197\) | −184644. | + | 568275.i | −0.338976 | + | 1.04326i | 0.625755 | + | 0.780020i | \(0.284791\pi\) |
−0.964730 | + | 0.263240i | \(0.915209\pi\) | |||||||
\(198\) | −140431. | + | 102029.i | −0.254566 | + | 0.184953i | ||||
\(199\) | 159142. | 0.284874 | 0.142437 | − | 0.989804i | \(-0.454506\pi\) | ||||
0.142437 | + | 0.989804i | \(0.454506\pi\) | |||||||
\(200\) | −14773.6 | − | 199454.i | −0.0261162 | − | 0.352587i | ||||
\(201\) | 682108. | 1.19087 | ||||||||
\(202\) | −331271. | + | 240682.i | −0.571222 | + | 0.415017i | ||||
\(203\) | −21744.9 | + | 66923.8i | −0.0370353 | + | 0.113983i | ||||
\(204\) | −115940. | + | 356825.i | −0.195055 | + | 0.600316i | ||||
\(205\) | −210197. | + | 226342.i | −0.349335 | + | 0.376167i | ||||
\(206\) | −124233. | − | 382350.i | −0.203971 | − | 0.627759i | ||||
\(207\) | 133301. | 0.216227 | ||||||||
\(208\) | 14408.8 | + | 44345.7i | 0.0230924 | + | 0.0710711i | ||||
\(209\) | 405491. | + | 294606.i | 0.642119 | + | 0.466526i | ||||
\(210\) | −347309. | + | 68253.2i | −0.543460 | + | 0.106801i | ||||
\(211\) | 286493. | − | 208149.i | 0.443004 | − | 0.321861i | −0.343823 | − | 0.939034i | \(-0.611722\pi\) |
0.786827 | + | 0.617173i | \(0.211722\pi\) | |||||||
\(212\) | −515959. | − | 374866.i | −0.788452 | − | 0.572844i | ||||
\(213\) | −839126. | − | 609661.i | −1.26730 | − | 0.920745i | ||||
\(214\) | 679688. | − | 493822.i | 1.01455 | − | 0.737116i | ||||
\(215\) | 109703. | − | 908939.i | 0.161853 | − | 1.34103i | ||||
\(216\) | 141066. | + | 102491.i | 0.205726 | + | 0.149468i | ||||
\(217\) | −152376. | − | 468966.i | −0.219669 | − | 0.676071i | ||||
\(218\) | −454901. | −0.648299 | ||||||||
\(219\) | −491285. | − | 1.51202e6i | −0.692186 | − | 2.13033i | ||||
\(220\) | 401948. | − | 78990.8i | 0.559903 | − | 0.110032i | ||||
\(221\) | −71815.3 | + | 221025.i | −0.0989091 | + | 0.304411i | ||||
\(222\) | 42803.4 | − | 131735.i | 0.0582902 | − | 0.179399i | ||||
\(223\) | −429131. | + | 311782.i | −0.577867 | + | 0.419845i | −0.837954 | − | 0.545740i | \(-0.816249\pi\) |
0.260088 | + | 0.965585i | \(0.416249\pi\) | |||||||
\(224\) | −88198.2 | −0.117446 | ||||||||
\(225\) | 191265. | + | 226042.i | 0.251872 | + | 0.297668i | ||||
\(226\) | 424663. | 0.553061 | ||||||||
\(227\) | 32414.5 | − | 23550.5i | 0.0417517 | − | 0.0303344i | −0.566714 | − | 0.823915i | \(-0.691785\pi\) |
0.608465 | + | 0.793580i | \(0.291785\pi\) | |||||||
\(228\) | −99442.6 | + | 306053.i | −0.126688 | + | 0.389905i | ||||
\(229\) | 104349. | − | 321152.i | 0.131492 | − | 0.404690i | −0.863536 | − | 0.504287i | \(-0.831755\pi\) |
0.995028 | + | 0.0995970i | \(0.0317554\pi\) | |||||||
\(230\) | −285377. | − | 132358.i | −0.355712 | − | 0.164980i | ||||
\(231\) | −224024. | − | 689475.i | −0.276226 | − | 0.850137i | ||||
\(232\) | 52287.1 | 0.0637785 | ||||||||
\(233\) | 32185.6 | + | 99057.2i | 0.0388394 | + | 0.119535i | 0.968596 | − | 0.248639i | \(-0.0799831\pi\) |
−0.929757 | + | 0.368174i | \(0.879983\pi\) | |||||||
\(234\) | −55849.1 | − | 40576.7i | −0.0666770 | − | 0.0484437i | ||||
\(235\) | −1.41425e6 | − | 655932.i | −1.67054 | − | 0.774799i | ||||
\(236\) | 70745.5 | − | 51399.6i | 0.0826835 | − | 0.0600730i | ||||
\(237\) | 311090. | + | 226020.i | 0.359762 | + | 0.261382i | ||||
\(238\) | −355637. | − | 258386.i | −0.406972 | − | 0.295683i | ||||
\(239\) | −622311. | + | 452135.i | −0.704714 | + | 0.512004i | −0.881464 | − | 0.472251i | \(-0.843442\pi\) |
0.176750 | + | 0.984256i | \(0.443442\pi\) | |||||||
\(240\) | 127981. | + | 229766.i | 0.143423 | + | 0.257489i | ||||
\(241\) | 621042. | + | 451214.i | 0.688777 | + | 0.500426i | 0.876258 | − | 0.481843i | \(-0.160032\pi\) |
−0.187481 | + | 0.982268i | \(0.560032\pi\) | |||||||
\(242\) | 60197.6 | + | 185269.i | 0.0660756 | + | 0.203360i | ||||
\(243\) | −681309. | −0.740164 | ||||||||
\(244\) | 179415. | + | 552183.i | 0.192923 | + | 0.593756i | ||||
\(245\) | −62886.9 | + | 521048.i | −0.0669337 | + | 0.554578i | ||||
\(246\) | 125523. | − | 386319.i | 0.132246 | − | 0.407013i | ||||
\(247\) | −61596.7 | + | 189575.i | −0.0642414 | + | 0.197715i | ||||
\(248\) | −296424. | + | 215364.i | −0.306044 | + | 0.222354i | ||||
\(249\) | 606883. | 0.620307 | ||||||||
\(250\) | −185025. | − | 673830.i | −0.187232 | − | 0.681868i | ||||
\(251\) | 280145. | 0.280671 | 0.140336 | − | 0.990104i | \(-0.455182\pi\) | ||||
0.140336 | + | 0.990104i | \(0.455182\pi\) | |||||||
\(252\) | 105641. | − | 76752.4i | 0.104792 | − | 0.0761361i | ||||
\(253\) | 199103. | − | 612775.i | 0.195558 | − | 0.601866i | ||||
\(254\) | −11847.8 | + | 36463.9i | −0.0115227 | + | 0.0354633i | ||||
\(255\) | −157071. | + | 1.30141e6i | −0.151268 | + | 1.25332i | ||||
\(256\) | 20251.7 | + | 62328.4i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | −708311. | −0.668946 | −0.334473 | − | 0.942405i | \(-0.608558\pi\) | ||||
−0.334473 | + | 0.942405i | \(0.608558\pi\) | |||||||
\(258\) | 372042. | + | 1.14503e6i | 0.347971 | + | 1.07094i | ||||
\(259\) | 131297. | + | 95392.5i | 0.121620 | + | 0.0883619i | ||||
\(260\) | 79274.2 | + | 142322.i | 0.0727275 | + | 0.130569i | ||||
\(261\) | −62627.5 | + | 45501.6i | −0.0569068 | + | 0.0413452i | ||||
\(262\) | 219613. | + | 159558.i | 0.197654 | + | 0.143604i | ||||
\(263\) | −3831.02 | − | 2783.40i | −0.00341527 | − | 0.00248134i | 0.586076 | − | 0.810256i | \(-0.300672\pi\) |
−0.589492 | + | 0.807775i | \(0.700672\pi\) | |||||||
\(264\) | −435803. | + | 316629.i | −0.384840 | + | 0.279603i | ||||
\(265\) | −2.02141e6 | − | 937532.i | −1.76823 | − | 0.820109i | ||||
\(266\) | −305034. | − | 221620.i | −0.264328 | − | 0.192046i | ||||
\(267\) | −372345. | − | 1.14596e6i | −0.319645 | − | 0.983766i | ||||
\(268\) | 593845. | 0.505052 | ||||||||
\(269\) | 644521. | + | 1.98363e6i | 0.543071 | + | 1.67140i | 0.725533 | + | 0.688187i | \(0.241593\pi\) |
−0.182462 | + | 0.983213i | \(0.558407\pi\) | |||||||
\(270\) | 552665. | + | 256327.i | 0.461374 | + | 0.213986i | ||||
\(271\) | −503302. | + | 1.54900e6i | −0.416299 | + | 1.28124i | 0.494784 | + | 0.869016i | \(0.335247\pi\) |
−0.911084 | + | 0.412222i | \(0.864753\pi\) | |||||||
\(272\) | −100937. | + | 310653.i | −0.0827237 | + | 0.254597i | ||||
\(273\) | 233250. | − | 169466.i | 0.189415 | − | 0.137618i | ||||
\(274\) | 1.13834e6 | 0.916003 | ||||||||
\(275\) | 1.32477e6 | − | 541605.i | 1.05635 | − | 0.431868i | ||||
\(276\) | 413677. | 0.326880 | ||||||||
\(277\) | 137653. | − | 100010.i | 0.107792 | − | 0.0783152i | −0.532584 | − | 0.846377i | \(-0.678779\pi\) |
0.640375 | + | 0.768062i | \(0.278779\pi\) | |||||||
\(278\) | 501764. | − | 1.54427e6i | 0.389392 | − | 1.19843i | ||||
\(279\) | 167630. | − | 515911.i | 0.128926 | − | 0.396793i | ||||
\(280\) | −302368. | + | 59421.5i | −0.230484 | + | 0.0452948i | ||||
\(281\) | −614849. | − | 1.89231e6i | −0.464518 | − | 1.42964i | −0.859588 | − | 0.510988i | \(-0.829280\pi\) |
0.395070 | − | 0.918651i | \(-0.370720\pi\) | |||||||
\(282\) | 2.05007e6 | 1.53514 | ||||||||
\(283\) | 253693. | + | 780788.i | 0.188297 | + | 0.579518i | 0.999990 | − | 0.00456663i | \(-0.00145361\pi\) |
−0.811693 | + | 0.584085i | \(0.801454\pi\) | |||||||
\(284\) | −730546. | − | 530773.i | −0.537467 | − | 0.390493i | ||||
\(285\) | −134721. | + | 1.11623e6i | −0.0982482 | + | 0.814034i | ||||
\(286\) | −269945. | + | 196127.i | −0.195146 | + | 0.141782i | ||||
\(287\) | 385032. | + | 279742.i | 0.275926 | + | 0.200472i | ||||
\(288\) | −78496.6 | − | 57031.1i | −0.0557660 | − | 0.0405164i | ||||
\(289\) | −168406. | + | 122354.i | −0.118608 | + | 0.0861738i | ||||
\(290\) | 179255. | − | 35227.2i | 0.125163 | − | 0.0245970i | ||||
\(291\) | −1.25931e6 | − | 914940.i | −0.871765 | − | 0.633374i | ||||
\(292\) | −427714. | − | 1.31637e6i | −0.293560 | − | 0.903484i | ||||
\(293\) | 2.47023e6 | 1.68100 | 0.840501 | − | 0.541810i | \(-0.182261\pi\) | ||||
0.840501 | + | 0.541810i | \(0.182261\pi\) | |||||||
\(294\) | −213273. | − | 656386.i | −0.143902 | − | 0.442885i | ||||
\(295\) | 207906. | − | 223875.i | 0.139095 | − | 0.149779i | ||||
\(296\) | 37264.7 | − | 114689.i | 0.0247212 | − | 0.0760839i | ||||
\(297\) | −385585. | + | 1.18671e6i | −0.253647 | + | 0.780645i | ||||
\(298\) | 584449. | − | 424627.i | 0.381247 | − | 0.276992i | ||||
\(299\) | 256240. | 0.165756 | ||||||||
\(300\) | 593556. | + | 701480.i | 0.380766 | + | 0.450000i | ||||
\(301\) | −1.41062e6 | −0.897416 | ||||||||
\(302\) | −1.77322e6 | + | 1.28832e6i | −1.11878 | + | 0.812844i | ||||
\(303\) | 581363. | − | 1.78925e6i | 0.363782 | − | 1.11961i | ||||
\(304\) | −86575.0 | + | 266451.i | −0.0537290 | + | 0.165361i | ||||
\(305\) | 987105. | + | 1.77216e6i | 0.607595 | + | 1.09082i | ||||
\(306\) | −149439. | − | 459927.i | −0.0912351 | − | 0.280793i | ||||
\(307\) | 756859. | 0.458320 | 0.229160 | − | 0.973389i | \(-0.426402\pi\) | ||||
0.229160 | + | 0.973389i | \(0.426402\pi\) | |||||||
\(308\) | −195036. | − | 600260.i | −0.117149 | − | 0.360547i | ||||
\(309\) | 1.49435e6 | + | 1.08571e6i | 0.890339 | + | 0.646869i | ||||
\(310\) | −871128. | + | 938039.i | −0.514846 | + | 0.554391i | ||||
\(311\) | 418554. | − | 304097.i | 0.245386 | − | 0.178284i | −0.458293 | − | 0.888801i | \(-0.651539\pi\) |
0.703680 | + | 0.710517i | \(0.251539\pi\) | |||||||
\(312\) | −173317. | − | 125922.i | −0.100799 | − | 0.0732347i | ||||
\(313\) | −1.31095e6 | − | 952462.i | −0.756355 | − | 0.549524i | 0.141435 | − | 0.989948i | \(-0.454828\pi\) |
−0.897790 | + | 0.440423i | \(0.854828\pi\) | |||||||
\(314\) | 1.26802e6 | − | 921271.i | 0.725775 | − | 0.527307i | ||||
\(315\) | 310456. | − | 334302.i | 0.176288 | − | 0.189829i | ||||
\(316\) | 270836. | + | 196774.i | 0.152577 | + | 0.110854i | ||||
\(317\) | −203657. | − | 626793.i | −0.113829 | − | 0.350329i | 0.877872 | − | 0.478895i | \(-0.158963\pi\) |
−0.991701 | + | 0.128566i | \(0.958963\pi\) | |||||||
\(318\) | 2.93020e6 | 1.62491 | ||||||||
\(319\) | 115624. | + | 355855.i | 0.0636170 | + | 0.195793i | ||||
\(320\) | 111421. | + | 200035.i | 0.0608264 | + | 0.109202i | ||||
\(321\) | −1.19282e6 | + | 3.67111e6i | −0.646117 | + | 1.98854i | ||||
\(322\) | −149777. | + | 460965.i | −0.0805015 | + | 0.247758i | ||||
\(323\) | −1.12969e6 | + | 820765.i | −0.602492 | + | 0.437736i | ||||
\(324\) | −1.16953e6 | −0.618942 | ||||||||
\(325\) | 367661. | + | 434511.i | 0.193081 | + | 0.228188i | ||||
\(326\) | 95690.5 | 0.0498683 | ||||||||
\(327\) | 1.69088e6 | − | 1.22850e6i | 0.874469 | − | 0.635339i | ||||
\(328\) | 109280. | − | 336330.i | 0.0560864 | − | 0.172616i | ||||
\(329\) | −742253. | + | 2.28442e6i | −0.378062 | + | 1.16355i | ||||
\(330\) | −1.28073e6 | + | 1.37911e6i | −0.647402 | + | 0.697129i | ||||
\(331\) | −938614. | − | 2.88876e6i | −0.470887 | − | 1.44924i | −0.851425 | − | 0.524476i | \(-0.824261\pi\) |
0.380538 | − | 0.924765i | \(-0.375739\pi\) | |||||||
\(332\) | 528354. | 0.263075 | ||||||||
\(333\) | 55171.1 | + | 169799.i | 0.0272647 | + | 0.0839121i | ||||
\(334\) | −1.89434e6 | − | 1.37632e6i | −0.929162 | − | 0.675076i | ||||
\(335\) | 2.03587e6 | − | 400089.i | 0.991147 | − | 0.194780i | ||||
\(336\) | 327836. | − | 238187.i | 0.158420 | − | 0.115099i | ||||
\(337\) | −1.38759e6 | − | 1.00814e6i | −0.665560 | − | 0.483557i | 0.202976 | − | 0.979184i | \(-0.434939\pi\) |
−0.868536 | + | 0.495626i | \(0.834939\pi\) | |||||||
\(338\) | 1.09417e6 | + | 794963.i | 0.520948 | + | 0.378491i | ||||
\(339\) | −1.57849e6 | + | 1.14684e6i | −0.746006 | + | 0.542005i | ||||
\(340\) | −136747. | + | 1.13301e6i | −0.0641533 | + | 0.531541i | ||||
\(341\) | −2.12122e6 | − | 1.54116e6i | −0.987870 | − | 0.717730i | ||||
\(342\) | −128176. | − | 394485.i | −0.0592571 | − | 0.182375i | ||||
\(343\) | 2.25624e6 | 1.03550 | ||||||||
\(344\) | 323901. | + | 996865.i | 0.147576 | + | 0.454193i | ||||
\(345\) | 1.41820e6 | − | 278705.i | 0.641490 | − | 0.126066i | ||||
\(346\) | −609790. | + | 1.87674e6i | −0.273836 | + | 0.842780i | ||||
\(347\) | 665479. | − | 2.04813e6i | 0.296695 | − | 0.913135i | −0.685951 | − | 0.727648i | \(-0.740614\pi\) |
0.982647 | − | 0.185487i | \(-0.0593863\pi\) | |||||||
\(348\) | −194353. | + | 141206.i | −0.0860287 | + | 0.0625035i | ||||
\(349\) | −181303. | −0.0796785 | −0.0398393 | − | 0.999206i | \(-0.512685\pi\) | ||||
−0.0398393 | + | 0.999206i | \(0.512685\pi\) | |||||||
\(350\) | −996571. | + | 407427.i | −0.434849 | + | 0.177779i | ||||
\(351\) | −496238. | −0.214992 | ||||||||
\(352\) | −379412. | + | 275659.i | −0.163213 | + | 0.118581i | ||||
\(353\) | −454047. | + | 1.39741e6i | −0.193939 | + | 0.596882i | 0.806049 | + | 0.591849i | \(0.201602\pi\) |
−0.999987 | + | 0.00503250i | \(0.998398\pi\) | |||||||
\(354\) | −124155. | + | 382109.i | −0.0526568 | + | 0.162061i | ||||
\(355\) | −2.86211e6 | − | 1.32745e6i | −1.20536 | − | 0.559046i | ||||
\(356\) | −324165. | − | 997677.i | −0.135563 | − | 0.417220i | ||||
\(357\) | 2.01971e6 | 0.838723 | ||||||||
\(358\) | 537290. | + | 1.65361e6i | 0.221565 | + | 0.681907i | ||||
\(359\) | 1.91266e6 | + | 1.38963e6i | 0.783252 | + | 0.569066i | 0.905953 | − | 0.423378i | \(-0.139156\pi\) |
−0.122701 | + | 0.992444i | \(0.539156\pi\) | |||||||
\(360\) | −307532. | − | 142634.i | −0.125064 | − | 0.0580050i | ||||
\(361\) | 1.03426e6 | − | 751436.i | 0.417698 | − | 0.303476i | ||||
\(362\) | −1.35710e6 | − | 985991.i | −0.544303 | − | 0.395459i | ||||
\(363\) | −724093. | − | 526084.i | −0.288422 | − | 0.209550i | ||||
\(364\) | 203068. | − | 147538.i | 0.0803321 | − | 0.0583647i | ||||
\(365\) | −2.35320e6 | − | 4.22472e6i | −0.924541 | − | 1.65984i | ||||
\(366\) | −2.15811e6 | − | 1.56796e6i | −0.842114 | − | 0.611832i | ||||
\(367\) | −1.47129e6 | − | 4.52817e6i | −0.570209 | − | 1.75492i | −0.651944 | − | 0.758267i | \(-0.726046\pi\) |
0.0817353 | − | 0.996654i | \(-0.473954\pi\) | |||||||
\(368\) | 360148. | 0.138632 | ||||||||
\(369\) | 161791. | + | 497943.i | 0.0618571 | + | 0.190377i | ||||
\(370\) | 50485.0 | − | 418293.i | 0.0191716 | − | 0.158846i | ||||
\(371\) | −1.06091e6 | + | 3.26515e6i | −0.400170 | + | 1.23160i | ||||
\(372\) | 520208. | − | 1.60104e6i | 0.194904 | − | 0.599852i | ||||
\(373\) | −1.05940e6 | + | 769701.i | −0.394266 | + | 0.286451i | −0.767201 | − | 0.641406i | \(-0.778351\pi\) |
0.372936 | + | 0.927857i | \(0.378351\pi\) | |||||||
\(374\) | −2.33745e6 | −0.864099 | ||||||||
\(375\) | 2.50748e6 | + | 2.00498e6i | 0.920788 | + | 0.736260i | ||||
\(376\) | 1.78480e6 | 0.651059 | ||||||||
\(377\) | −120386. | + | 87465.7i | −0.0436238 | + | 0.0316945i | ||||
\(378\) | 290060. | − | 892712.i | 0.104414 | − | 0.321353i | ||||
\(379\) | 346960. | − | 1.06783e6i | 0.124074 | − | 0.381861i | −0.869657 | − | 0.493656i | \(-0.835660\pi\) |
0.993731 | + | 0.111795i | \(0.0356601\pi\) | |||||||
\(380\) | −117289. | + | 971796.i | −0.0416676 | + | 0.345236i | ||||
\(381\) | −54435.1 | − | 167534.i | −0.0192117 | − | 0.0591277i | ||||
\(382\) | −1.25837e6 | −0.441214 | ||||||||
\(383\) | 743572. | + | 2.28848e6i | 0.259016 | + | 0.797168i | 0.993012 | + | 0.118015i | \(0.0376530\pi\) |
−0.733996 | + | 0.679154i | \(0.762347\pi\) | |||||||
\(384\) | −243600. | − | 176986.i | −0.0843042 | − | 0.0612506i | ||||
\(385\) | −1.07305e6 | − | 1.92646e6i | −0.368950 | − | 0.662381i | ||||
\(386\) | −575374. | + | 418034.i | −0.196554 | + | 0.142805i | ||||
\(387\) | −1.25546e6 | − | 912142.i | −0.426112 | − | 0.309588i | ||||
\(388\) | −1.09636e6 | − | 796550.i | −0.369720 | − | 0.268617i | ||||
\(389\) | 1.51874e6 | − | 1.10343e6i | 0.508874 | − | 0.369719i | −0.303522 | − | 0.952824i | \(-0.598163\pi\) |
0.812396 | + | 0.583106i | \(0.198163\pi\) | |||||||
\(390\) | −679018. | − | 314929.i | −0.226058 | − | 0.104846i | ||||
\(391\) | 1.45221e6 | + | 1.05509e6i | 0.480382 | + | 0.349018i | ||||
\(392\) | −185676. | − | 571452.i | −0.0610296 | − | 0.187830i | ||||
\(393\) | −1.24721e6 | −0.407342 | ||||||||
\(394\) | −738574. | − | 2.27310e6i | −0.239692 | − | 0.737696i | ||||
\(395\) | 1.06107e6 | + | 492127.i | 0.342179 | + | 0.158703i | ||||
\(396\) | 214560. | − | 660348.i | 0.0687560 | − | 0.211609i | ||||
\(397\) | 725251. | − | 2.23209e6i | 0.230947 | − | 0.710782i | −0.766686 | − | 0.642022i | \(-0.778096\pi\) |
0.997633 | − | 0.0687598i | \(-0.0219042\pi\) | |||||||
\(398\) | −514995. | + | 374166.i | −0.162965 | + | 0.118401i | ||||
\(399\) | 1.73233e6 | 0.544750 | ||||||||
\(400\) | 516752. | + | 610711.i | 0.161485 | + | 0.190847i | ||||
\(401\) | 5.94822e6 | 1.84725 | 0.923626 | − | 0.383295i | \(-0.125211\pi\) | ||||
0.923626 | + | 0.383295i | \(0.125211\pi\) | |||||||
\(402\) | −2.20735e6 | + | 1.60373e6i | −0.681248 | + | 0.494956i | ||||
\(403\) | 322228. | − | 991714.i | 0.0988326 | − | 0.304175i | ||||
\(404\) | 506137. | − | 1.55773e6i | 0.154282 | − | 0.474830i | ||||
\(405\) | −4.00949e6 | + | 787946.i | −1.21465 | + | 0.238703i | ||||
\(406\) | −86979.4 | − | 267695.i | −0.0261879 | − | 0.0805982i | ||||
\(407\) | 862956. | 0.258228 | ||||||||
\(408\) | −463758. | − | 1.42730e6i | −0.137924 | − | 0.424488i | ||||
\(409\) | 2.50530e6 | + | 1.82021e6i | 0.740546 | + | 0.538038i | 0.892882 | − | 0.450291i | \(-0.148680\pi\) |
−0.152336 | + | 0.988329i | \(0.548680\pi\) | |||||||
\(410\) | 148049. | − | 1.22666e6i | 0.0434958 | − | 0.360383i | ||||
\(411\) | −4.23127e6 | + | 3.07420e6i | −1.23557 | + | 0.897691i | ||||
\(412\) | 1.30098e6 | + | 945220.i | 0.377597 | + | 0.274341i | ||||
\(413\) | −380836. | − | 276694.i | −0.109866 | − | 0.0798223i | ||||
\(414\) | −431373. | + | 313410.i | −0.123695 | + | 0.0898696i | ||||
\(415\) | 1.81135e6 | − | 355966.i | 0.516276 | − | 0.101459i | ||||
\(416\) | −150891. | − | 109629.i | −0.0427493 | − | 0.0310592i | ||||
\(417\) | 2.30536e6 | + | 7.09518e6i | 0.649231 | + | 1.99813i | ||||
\(418\) | −2.00486e6 | −0.561232 | ||||||||
\(419\) | 443962. | + | 1.36637e6i | 0.123541 | + | 0.380219i | 0.993632 | − | 0.112671i | \(-0.0359405\pi\) |
−0.870092 | + | 0.492890i | \(0.835940\pi\) | |||||||
\(420\) | 963443. | − | 1.03744e6i | 0.266503 | − | 0.286973i | ||||
\(421\) | −1.29546e6 | + | 3.98702e6i | −0.356221 | + | 1.09634i | 0.599077 | + | 0.800691i | \(0.295534\pi\) |
−0.955298 | + | 0.295644i | \(0.904466\pi\) | |||||||
\(422\) | −437722. | + | 1.34717e6i | −0.119651 | + | 0.368249i | ||||
\(423\) | −2.13777e6 | + | 1.55318e6i | −0.580912 | + | 0.422057i | ||||
\(424\) | 2.55104e6 | 0.689133 | ||||||||
\(425\) | 294534. | + | 3.97641e6i | 0.0790975 | + | 1.06787i | ||||
\(426\) | 4.14887e6 | 1.10766 | ||||||||
\(427\) | 2.52856e6 | − | 1.83711e6i | 0.671126 | − | 0.487602i | ||||
\(428\) | −1.03847e6 | + | 3.19608e6i | −0.274022 | + | 0.843352i | ||||
\(429\) | 473740. | − | 1.45802e6i | 0.124279 | − | 0.382490i | ||||
\(430\) | 1.78204e6 | + | 3.19932e6i | 0.464779 | + | 0.834423i | ||||
\(431\) | −785164. | − | 2.41649e6i | −0.203595 | − | 0.626601i | −0.999768 | − | 0.0215320i | \(-0.993146\pi\) |
0.796173 | − | 0.605069i | \(-0.206854\pi\) | |||||||
\(432\) | −697470. | −0.179811 | ||||||||
\(433\) | −870904. | − | 2.68037e6i | −0.223229 | − | 0.687028i | −0.998467 | − | 0.0553585i | \(-0.982370\pi\) |
0.775238 | − | 0.631670i | \(-0.217630\pi\) | |||||||
\(434\) | 1.59571e6 | + | 1.15935e6i | 0.406657 | + | 0.295454i | ||||
\(435\) | −571164. | + | 615034.i | −0.144723 | + | 0.155839i | ||||
\(436\) | 1.47209e6 | − | 1.06954e6i | 0.370867 | − | 0.269451i | ||||
\(437\) | 1.24557e6 | + | 904963.i | 0.312008 | + | 0.226687i | ||||
\(438\) | 5.14480e6 | + | 3.73791e6i | 1.28140 | + | 0.930988i | ||||
\(439\) | 3.20044e6 | − | 2.32526e6i | 0.792589 | − | 0.575850i | −0.116141 | − | 0.993233i | \(-0.537053\pi\) |
0.908731 | + | 0.417383i | \(0.137053\pi\) | |||||||
\(440\) | −1.11501e6 | + | 1.20066e6i | −0.274567 | + | 0.295656i | ||||
\(441\) | 719688. | + | 522884.i | 0.176217 | + | 0.128029i | ||||
\(442\) | −287261. | − | 884099.i | −0.0699393 | − | 0.215251i | ||||
\(443\) | −1.62430e6 | −0.393238 | −0.196619 | − | 0.980480i | \(-0.562996\pi\) | ||||
−0.196619 | + | 0.980480i | \(0.562996\pi\) | |||||||
\(444\) | 171213. | + | 526941.i | 0.0412174 | + | 0.126854i | ||||
\(445\) | −1.78349e6 | − | 3.20192e6i | −0.426944 | − | 0.766497i | ||||
\(446\) | 655654. | − | 2.01789e6i | 0.156076 | − | 0.480354i | ||||
\(447\) | −1.02568e6 | + | 3.15671e6i | −0.242797 | + | 0.747251i | ||||
\(448\) | 285415. | − | 207366.i | 0.0671866 | − | 0.0488139i | ||||
\(449\) | −3.69504e6 | −0.864975 | −0.432487 | − | 0.901640i | \(-0.642364\pi\) | ||||
−0.432487 | + | 0.901640i | \(0.642364\pi\) | |||||||
\(450\) | −1.15040e6 | − | 281796.i | −0.267805 | − | 0.0656000i | ||||
\(451\) | 2.53065e6 | 0.585857 | ||||||||
\(452\) | −1.37424e6 | + | 998442.i | −0.316385 | + | 0.229867i | ||||
\(453\) | 3.11191e6 | − | 9.57749e6i | 0.712496 | − | 2.19284i | ||||
\(454\) | −49524.9 | + | 152422.i | −0.0112768 | + | 0.0347063i | ||||
\(455\) | 596776. | − | 642614.i | 0.135140 | − | 0.145520i | ||||
\(456\) | −397770. | − | 1.22421e6i | −0.0895819 | − | 0.275705i | ||||
\(457\) | 676967. | 0.151627 | 0.0758136 | − | 0.997122i | \(-0.475845\pi\) | ||||
0.0758136 | + | 0.997122i | \(0.475845\pi\) | |||||||
\(458\) | 417395. | + | 1.28461e6i | 0.0929787 | + | 0.286159i | ||||
\(459\) | −2.81237e6 | − | 2.04331e6i | −0.623076 | − | 0.452691i | ||||
\(460\) | 1.23469e6 | − | 242641.i | 0.272059 | − | 0.0534651i | ||||
\(461\) | 4.27473e6 | − | 3.10578e6i | 0.936821 | − | 0.680640i | −0.0108323 | − | 0.999941i | \(-0.503448\pi\) |
0.947653 | + | 0.319301i | \(0.103448\pi\) | |||||||
\(462\) | 2.34601e6 | + | 1.70448e6i | 0.511358 | + | 0.371523i | ||||
\(463\) | 87866.7 | + | 63838.9i | 0.0190490 | + | 0.0138399i | 0.597269 | − | 0.802041i | \(-0.296252\pi\) |
−0.578220 | + | 0.815881i | \(0.696252\pi\) | |||||||
\(464\) | −169205. | + | 122934.i | −0.0364852 | + | 0.0265081i | ||||
\(465\) | 704761. | − | 5.83928e6i | 0.151150 | − | 1.25235i | ||||
\(466\) | −337052. | − | 244883.i | −0.0719006 | − | 0.0522389i | ||||
\(467\) | 1.35301e6 | + | 4.16413e6i | 0.287084 | + | 0.883553i | 0.985766 | + | 0.168121i | \(0.0537700\pi\) |
−0.698683 | + | 0.715432i | \(0.746230\pi\) | |||||||
\(468\) | 276133. | 0.0582779 | ||||||||
\(469\) | −987860. | − | 3.04032e6i | −0.207378 | − | 0.638245i | ||||
\(470\) | 6.11881e6 | − | 1.20247e6i | 1.27768 | − | 0.251090i | ||||
\(471\) | −2.22531e6 | + | 6.84880e6i | −0.462209 | + | 1.42253i | ||||
\(472\) | −108089. | + | 332665.i | −0.0223320 | + | 0.0687309i | ||||
\(473\) | −6.06821e6 | + | 4.40881e6i | −1.24712 | + | 0.906085i | ||||
\(474\) | −1.53811e6 | −0.314443 | ||||||||
\(475\) | 252625. | + | 3.41061e6i | 0.0513738 | + | 0.693583i | ||||
\(476\) | 1.75837e6 | 0.355707 | ||||||||
\(477\) | −3.05554e6 | + | 2.21998e6i | −0.614883 | + | 0.446739i | ||||
\(478\) | 950807. | − | 2.92628e6i | 0.190337 | − | 0.585796i | ||||
\(479\) | −1.05465e6 | + | 3.24589e6i | −0.210025 | + | 0.646391i | 0.789444 | + | 0.613822i | \(0.210369\pi\) |
−0.999469 | + | 0.0325689i | \(0.989631\pi\) | |||||||
\(480\) | −954370. | − | 442638.i | −0.189066 | − | 0.0876890i | ||||
\(481\) | 106053. | + | 326398.i | 0.0209007 | + | 0.0643257i | ||||
\(482\) | −3.07060e6 | −0.602013 | ||||||||
\(483\) | −688150. | − | 2.11791e6i | −0.134219 | − | 0.413085i | ||||
\(484\) | −630398. | − | 458011.i | −0.122321 | − | 0.0888714i | ||||
\(485\) | −4.29528e6 | − | 1.99215e6i | −0.829158 | − | 0.384564i | ||||
\(486\) | 2.20476e6 | − | 1.60185e6i | 0.423419 | − | 0.307632i | ||||
\(487\) | 3.98339e6 | + | 2.89410e6i | 0.761079 | + | 0.552957i | 0.899241 | − | 0.437453i | \(-0.144119\pi\) |
−0.138162 | + | 0.990410i | \(0.544119\pi\) | |||||||
\(488\) | −1.87886e6 | − | 1.36507e6i | −0.357145 | − | 0.259481i | ||||
\(489\) | −355685. | + | 258421.i | −0.0672657 | + | 0.0488714i | ||||
\(490\) | −1.02155e6 | − | 1.83400e6i | −0.192207 | − | 0.345072i | ||||
\(491\) | −7.52274e6 | − | 5.46559e6i | −1.40823 | − | 1.02314i | −0.993577 | − | 0.113154i | \(-0.963905\pi\) |
−0.414648 | − | 0.909982i | \(-0.636095\pi\) | |||||||
\(492\) | 502090. | + | 1.54527e6i | 0.0935124 | + | 0.287801i | ||||
\(493\) | −1.04242e6 | −0.193164 | ||||||||
\(494\) | −246387. | − | 758301.i | −0.0454256 | − | 0.139805i | ||||
\(495\) | 290679. | − | 2.40841e6i | 0.0533212 | − | 0.441792i | ||||
\(496\) | 452895. | − | 1.39387e6i | 0.0826596 | − | 0.254400i | ||||
\(497\) | −1.50215e6 | + | 4.62313e6i | −0.272785 | + | 0.839547i | ||||
\(498\) | −1.96391e6 | + | 1.42687e6i | −0.354854 | + | 0.257816i | ||||
\(499\) | −9.74945e6 | −1.75279 | −0.876393 | − | 0.481597i | \(-0.840057\pi\) | ||||
−0.876393 | + | 0.481597i | \(0.840057\pi\) | |||||||
\(500\) | 2.18302e6 | + | 1.74554e6i | 0.390511 | + | 0.312252i | ||||
\(501\) | 1.07582e7 | 1.91490 | ||||||||
\(502\) | −906568. | + | 658660.i | −0.160561 | + | 0.116655i | ||||
\(503\) | −365559. | + | 1.12507e6i | −0.0644224 | + | 0.198272i | −0.978087 | − | 0.208198i | \(-0.933240\pi\) |
0.913664 | + | 0.406470i | \(0.133240\pi\) | |||||||
\(504\) | −161404. | + | 496752.i | −0.0283034 | + | 0.0871090i | ||||
\(505\) | 685697. | − | 5.68133e6i | 0.119648 | − | 0.991338i | ||||
\(506\) | 796410. | + | 2.45110e6i | 0.138280 | + | 0.425583i | ||||
\(507\) | −6.21395e6 | −1.07361 | ||||||||
\(508\) | −47391.4 | − | 145856.i | −0.00814780 | − | 0.0250763i | ||||
\(509\) | −5.15191e6 | − | 3.74308e6i | −0.881401 | − | 0.640375i | 0.0522207 | − | 0.998636i | \(-0.483370\pi\) |
−0.933622 | + | 0.358260i | \(0.883370\pi\) | |||||||
\(510\) | −2.55151e6 | − | 4.58075e6i | −0.434381 | − | 0.779850i | ||||
\(511\) | −6.02793e6 | + | 4.37955e6i | −1.02121 | + | 0.741955i | ||||
\(512\) | −212079. | − | 154084.i | −0.0357538 | − | 0.0259767i | ||||
\(513\) | −2.41220e6 | − | 1.75257e6i | −0.404688 | − | 0.294023i | ||||
\(514\) | 2.29214e6 | − | 1.66534e6i | 0.382678 | − | 0.278032i | ||||
\(515\) | 5.09696e6 | + | 2.36398e6i | 0.846824 | + | 0.392758i | ||||
\(516\) | −3.89608e6 | − | 2.83067e6i | −0.644174 | − | 0.468020i | ||||
\(517\) | 3.94680e6 | + | 1.21470e7i | 0.649410 | + | 1.99868i | ||||
\(518\) | −649166. | −0.106300 | ||||||||
\(519\) | −2.80169e6 | − | 8.62272e6i | −0.456564 | − | 1.40516i | ||||
\(520\) | −591156. | − | 274179.i | −0.0958724 | − | 0.0444657i | ||||
\(521\) | 3.59243e6 | − | 1.10564e7i | 0.579822 | − | 1.78451i | −0.0393181 | − | 0.999227i | \(-0.512519\pi\) |
0.619140 | − | 0.785281i | \(-0.287481\pi\) | |||||||
\(522\) | 95686.3 | − | 294492.i | 0.0153700 | − | 0.0473040i | ||||
\(523\) | −7.51200e6 | + | 5.45779e6i | −1.20088 | + | 0.872494i | −0.994371 | − | 0.105950i | \(-0.966212\pi\) |
−0.206513 | + | 0.978444i | \(0.566212\pi\) | |||||||
\(524\) | −1.08583e6 | −0.172756 | ||||||||
\(525\) | 2.60400e6 | − | 4.20575e6i | 0.412328 | − | 0.665956i | ||||
\(526\) | 18941.6 | 0.00298505 | ||||||||
\(527\) | 5.90966e6 | − | 4.29362e6i | 0.926907 | − | 0.673437i | ||||
\(528\) | 665848. | − | 2.04927e6i | 0.103942 | − | 0.319900i | ||||
\(529\) | −1.37734e6 | + | 4.23902e6i | −0.213995 | + | 0.658607i | ||||
\(530\) | 8.74569e6 | − | 1.71870e6i | 1.35240 | − | 0.265773i | ||||
\(531\) | −160028. | − | 492516.i | −0.0246298 | − | 0.0758026i | ||||
\(532\) | 1.50817e6 | 0.231031 | ||||||||
\(533\) | 311005. | + | 957174.i | 0.0474186 | + | 0.145940i | ||||
\(534\) | 3.89925e6 | + | 2.83297e6i | 0.591736 | + | 0.429921i | ||||
\(535\) | −1.40689e6 | + | 1.16567e7i | −0.212507 | + | 1.76073i | ||||
\(536\) | −1.92172e6 | + | 1.39621e6i | −0.288921 | + | 0.209913i | ||||
\(537\) | −6.46284e6 | − | 4.69553e6i | −0.967137 | − | 0.702666i | ||||
\(538\) | −6.74951e6 | − | 4.90381e6i | −1.00535 | − | 0.730429i | ||||
\(539\) | 3.47860e6 | − | 2.52735e6i | 0.515741 | − | 0.374708i | ||||
\(540\) | −2.39112e6 | + | 469904.i | −0.352872 | + | 0.0693465i | ||||
\(541\) | 5.67506e6 | + | 4.12317e6i | 0.833637 | + | 0.605673i | 0.920586 | − | 0.390540i | \(-0.127712\pi\) |
−0.0869486 | + | 0.996213i | \(0.527712\pi\) | |||||||
\(542\) | −2.01321e6 | − | 6.19602e6i | −0.294368 | − | 0.905972i | ||||
\(543\) | 7.70715e6 | 1.12175 | ||||||||
\(544\) | −403750. | − | 1.24261e6i | −0.0584945 | − | 0.180027i | ||||
\(545\) | 4.32617e6 | − | 4.65846e6i | 0.623896 | − | 0.671817i | ||||
\(546\) | −356375. | + | 1.09681e6i | −0.0511594 | + | 0.157452i | ||||
\(547\) | 1.73451e6 | − | 5.33827e6i | 0.247861 | − | 0.762838i | −0.747292 | − | 0.664496i | \(-0.768646\pi\) |
0.995153 | − | 0.0983417i | \(-0.0313538\pi\) | |||||||
\(548\) | −3.68376e6 | + | 2.67641e6i | −0.524010 | + | 0.380715i | ||||
\(549\) | 3.43835e6 | 0.486876 | ||||||||
\(550\) | −3.01366e6 | + | 4.86740e6i | −0.424803 | + | 0.686104i | ||||
\(551\) | −894097. | −0.125460 | ||||||||
\(552\) | −1.33869e6 | + | 972612.i | −0.186995 | + | 0.135860i | ||||
\(553\) | 556892. | − | 1.71394e6i | 0.0774387 | − | 0.238332i | ||||
\(554\) | −210314. | + | 647281.i | −0.0291135 | + | 0.0896022i | ||||
\(555\) | 941982. | + | 1.69115e6i | 0.129811 | + | 0.233050i | ||||
\(556\) | 2.00706e6 | + | 6.17708e6i | 0.275342 | + | 0.847416i | ||||
\(557\) | −1.00468e7 | −1.37212 | −0.686059 | − | 0.727546i | \(-0.740661\pi\) | ||||
−0.686059 | + | 0.727546i | \(0.740661\pi\) | |||||||
\(558\) | 670519. | + | 2.06364e6i | 0.0911644 | + | 0.280575i | ||||
\(559\) | −2.41331e6 | − | 1.75337e6i | −0.326650 | − | 0.237325i | ||||
\(560\) | 838777. | − | 903203.i | 0.113025 | − | 0.121707i | ||||
\(561\) | 8.68840e6 | − | 6.31249e6i | 1.16556 | − | 0.846825i | ||||
\(562\) | 6.43878e6 | + | 4.67805e6i | 0.859929 | + | 0.624775i | ||||
\(563\) | −513807. | − | 373302.i | −0.0683170 | − | 0.0496352i | 0.553103 | − | 0.833113i | \(-0.313444\pi\) |
−0.621420 | + | 0.783478i | \(0.713444\pi\) | |||||||
\(564\) | −6.63418e6 | + | 4.82001e6i | −0.878192 | + | 0.638044i | ||||
\(565\) | −4.03860e6 | + | 4.34880e6i | −0.532243 | + | 0.573124i | ||||
\(566\) | −2.65671e6 | − | 1.93021e6i | −0.348581 | − | 0.253259i | ||||
\(567\) | 1.94552e6 | + | 5.98768e6i | 0.254142 | + | 0.782170i | ||||
\(568\) | 3.61202e6 | 0.469763 | ||||||||
\(569\) | 2.77281e6 | + | 8.53382e6i | 0.359037 | + | 1.10500i | 0.953632 | + | 0.300976i | \(0.0973125\pi\) |
−0.594595 | + | 0.804026i | \(0.702687\pi\) | |||||||
\(570\) | −2.18845e6 | − | 3.92895e6i | −0.282130 | − | 0.506512i | ||||
\(571\) | −2.74162e6 | + | 8.43785e6i | −0.351899 | + | 1.08303i | 0.605887 | + | 0.795550i | \(0.292818\pi\) |
−0.957786 | + | 0.287482i | \(0.907182\pi\) | |||||||
\(572\) | 412439. | − | 1.26936e6i | 0.0527072 | − | 0.162216i | ||||
\(573\) | 4.67741e6 | − | 3.39834e6i | 0.595140 | − | 0.432394i | ||||
\(574\) | −1.90370e6 | −0.241168 | ||||||||
\(575\) | 4.06940e6 | − | 1.66369e6i | 0.513287 | − | 0.209847i | ||||
\(576\) | 388109. | 0.0487413 | ||||||||
\(577\) | 5.89394e6 | − | 4.28220e6i | 0.736997 | − | 0.535460i | −0.154772 | − | 0.987950i | \(-0.549464\pi\) |
0.891769 | + | 0.452490i | \(0.149464\pi\) | |||||||
\(578\) | 257302. | − | 791894.i | 0.0320349 | − | 0.0985934i | ||||
\(579\) | 1.00975e6 | − | 3.10770e6i | 0.125175 | − | 0.385250i | ||||
\(580\) | −497257. | + | 535451.i | −0.0613777 | + | 0.0660921i | ||||
\(581\) | −878916. | − | 2.70503e6i | −0.108021 | − | 0.332454i | ||||
\(582\) | 6.22636e6 | 0.761950 | ||||||||
\(583\) | 5.64122e6 | + | 1.73619e7i | 0.687387 | + | 2.11556i | ||||
\(584\) | 4.47908e6 | + | 3.25424e6i | 0.543446 | + | 0.394837i | ||||
\(585\) | 946662. | − | 186038.i | 0.114368 | − | 0.0224756i | ||||
\(586\) | −7.99383e6 | + | 5.80786e6i | −0.961636 | + | 0.698670i | ||||
\(587\) | −1.17619e7 | − | 8.54553e6i | −1.40891 | − | 1.02363i | −0.993480 | − | 0.114005i | \(-0.963632\pi\) |
−0.415428 | − | 0.909626i | \(-0.636368\pi\) | |||||||
\(588\) | 2.23342e6 | + | 1.62268e6i | 0.266396 | + | 0.193548i | ||||
\(589\) | 5.06878e6 | − | 3.68268e6i | 0.602026 | − | 0.437397i | ||||
\(590\) | −146436. | + | 1.21329e6i | −0.0173188 | + | 0.143495i | ||||
\(591\) | 8.88401e6 | + | 6.45461e6i | 1.04626 | + | 0.760154i | ||||
\(592\) | 149059. | + | 458756.i | 0.0174805 | + | 0.0537994i | ||||
\(593\) | −7.76606e6 | −0.906910 | −0.453455 | − | 0.891279i | \(-0.649809\pi\) | ||||
−0.453455 | + | 0.891279i | \(0.649809\pi\) | |||||||
\(594\) | −1.54234e6 | − | 4.74684e6i | −0.179355 | − | 0.551999i | ||||
\(595\) | 6.02818e6 | − | 1.18466e6i | 0.698062 | − | 0.137183i | ||||
\(596\) | −892959. | + | 2.74825e6i | −0.102971 | + | 0.316913i | ||||
\(597\) | 903790. | − | 2.78158e6i | 0.103784 | − | 0.319415i | ||||
\(598\) | −829209. | + | 602456.i | −0.0948224 | + | 0.0688925i | ||||
\(599\) | 1.17150e7 | 1.33406 | 0.667028 | − | 0.745032i | \(-0.267566\pi\) | ||||
0.667028 | + | 0.745032i | \(0.267566\pi\) | |||||||
\(600\) | −3.57007e6 | − | 874503.i | −0.404854 | − | 0.0991706i | ||||
\(601\) | −1.04748e6 | −0.118294 | −0.0591468 | − | 0.998249i | \(-0.518838\pi\) | ||||
−0.0591468 | + | 0.998249i | \(0.518838\pi\) | |||||||
\(602\) | 4.56486e6 | − | 3.31657e6i | 0.513377 | − | 0.372990i | ||||
\(603\) | 1.08675e6 | − | 3.34467e6i | 0.121713 | − | 0.374593i | ||||
\(604\) | 2.70924e6 | − | 8.33819e6i | 0.302173 | − | 0.929993i | ||||
\(605\) | −2.46976e6 | − | 1.14547e6i | −0.274325 | − | 0.127232i | ||||
\(606\) | 2.32545e6 | + | 7.15701e6i | 0.257233 | + | 0.791680i | ||||
\(607\) | −3.04989e6 | −0.335979 | −0.167990 | − | 0.985789i | \(-0.553727\pi\) | ||||
−0.167990 | + | 0.985789i | \(0.553727\pi\) | |||||||
\(608\) | −346300. | − | 1.06580e6i | −0.0379921 | − | 0.116928i | ||||
\(609\) | 1.04624e6 | + | 760138.i | 0.114311 | + | 0.0830518i | ||||
\(610\) | −7.36094e6 | − | 3.41401e6i | −0.800956 | − | 0.371484i | ||||
\(611\) | −4.10935e6 | + | 2.98561e6i | −0.445317 | + | 0.323542i | ||||
\(612\) | 1.56495e6 | + | 1.13700e6i | 0.168897 | + | 0.122711i | ||||
\(613\) | 1.04227e7 | + | 7.57253e6i | 1.12029 | + | 0.813936i | 0.984252 | − | 0.176769i | \(-0.0565644\pi\) |
0.136034 | + | 0.990704i | \(0.456564\pi\) | |||||||
\(614\) | −2.44925e6 | + | 1.77948e6i | −0.262187 | + | 0.190490i | ||||
\(615\) | 2.76240e6 | + | 4.95937e6i | 0.294509 | + | 0.528736i | ||||
\(616\) | 2.04245e6 | + | 1.48392e6i | 0.216870 | + | 0.157565i | ||||
\(617\) | −819459. | − | 2.52204e6i | −0.0866591 | − | 0.266709i | 0.898331 | − | 0.439319i | \(-0.144780\pi\) |
−0.984990 | + | 0.172609i | \(0.944780\pi\) | |||||||
\(618\) | −7.38846e6 | −0.778185 | ||||||||
\(619\) | −1.98001e6 | − | 6.09384e6i | −0.207702 | − | 0.639240i | −0.999592 | − | 0.0285764i | \(-0.990903\pi\) |
0.791890 | − | 0.610664i | \(-0.209097\pi\) | |||||||
\(620\) | 613567. | − | 5.08370e6i | 0.0641037 | − | 0.531130i | ||||
\(621\) | −1.18443e6 | + | 3.64530e6i | −0.123248 | + | 0.379319i | ||||
\(622\) | −639493. | + | 1.96816e6i | −0.0662765 | + | 0.203978i | ||||
\(623\) | −4.56858e6 | + | 3.31927e6i | −0.471586 | + | 0.342627i | ||||
\(624\) | 856928. | 0.0881015 | ||||||||
\(625\) | 8.66004e6 | + | 4.51344e6i | 0.886788 | + | 0.462177i | ||||
\(626\) | 6.48170e6 | 0.661079 | ||||||||
\(627\) | 7.45213e6 | − | 5.41429e6i | 0.757028 | − | 0.550013i | ||||
\(628\) | −1.93736e6 | + | 5.96259e6i | −0.196025 | + | 0.603304i | ||||
\(629\) | −742930. | + | 2.28650e6i | −0.0748723 | + | 0.230433i | ||||
\(630\) | −218665. | + | 1.81175e6i | −0.0219497 | + | 0.181864i | ||||
\(631\) | −2.14964e6 | − | 6.61593e6i | −0.214928 | − | 0.661481i | −0.999159 | − | 0.0410112i | \(-0.986942\pi\) |
0.784231 | − | 0.620470i | \(-0.213058\pi\) | |||||||
\(632\) | −1.33909e6 | −0.133357 | ||||||||
\(633\) | −2.01112e6 | − | 6.18960e6i | −0.199494 | − | 0.613978i | ||||
\(634\) | 2.13273e6 | + | 1.54952e6i | 0.210723 | + | 0.153099i | ||||
\(635\) | −260738. | − | 468106.i | −0.0256608 | − | 0.0460691i | ||||
\(636\) | −9.48232e6 | + | 6.88931e6i | −0.929548 | + | 0.675356i | ||||
\(637\) | 1.38343e6 | + | 1.00512e6i | 0.135085 | + | 0.0981451i | ||||
\(638\) | −1.21083e6 | − | 879723.i | −0.117770 | − | 0.0855646i | ||||
\(639\) | −4.32634e6 | + | 3.14327e6i | −0.419149 | + | 0.304530i | ||||
\(640\) | −830877. | − | 385362.i | −0.0801839 | − | 0.0371894i | ||||
\(641\) | −8.21878e6 | − | 5.97129e6i | −0.790064 | − | 0.574015i | 0.117919 | − | 0.993023i | \(-0.462378\pi\) |
−0.907982 | + | 0.419008i | \(0.862378\pi\) | |||||||
\(642\) | −4.77127e6 | − | 1.46845e7i | −0.456874 | − | 1.40611i | ||||
\(643\) | 1.83468e7 | 1.74998 | 0.874988 | − | 0.484144i | \(-0.160869\pi\) | ||||
0.874988 | + | 0.484144i | \(0.160869\pi\) | |||||||
\(644\) | −599106. | − | 1.84386e6i | −0.0569232 | − | 0.175191i | ||||
\(645\) | −1.52639e7 | − | 7.07943e6i | −1.44467 | − | 0.670038i | ||||
\(646\) | 1.72601e6 | − | 5.31210e6i | 0.162728 | − | 0.500824i | ||||
\(647\) | 4.40698e6 | − | 1.35633e7i | 0.413886 | − | 1.27381i | −0.499358 | − | 0.866396i | \(-0.666431\pi\) |
0.913244 | − | 0.407414i | \(-0.133569\pi\) | |||||||
\(648\) | 3.78469e6 | − | 2.74974e6i | 0.354073 | − | 0.257249i | ||||
\(649\) | −2.50308e6 | −0.233272 | ||||||||
\(650\) | −2.21137e6 | − | 541685.i | −0.205295 | − | 0.0502879i | ||||
\(651\) | −9.06222e6 | −0.838074 | ||||||||
\(652\) | −309661. | + | 224982.i | −0.0285277 | + | 0.0207266i | ||||
\(653\) | −3.49440e6 | + | 1.07547e7i | −0.320693 | + | 0.986992i | 0.652654 | + | 0.757656i | \(0.273655\pi\) |
−0.973347 | + | 0.229336i | \(0.926345\pi\) | |||||||
\(654\) | −2.58344e6 | + | 7.95102e6i | −0.236186 | + | 0.726906i | ||||
\(655\) | −3.72252e6 | + | 731550.i | −0.339027 | + | 0.0666256i | ||||
\(656\) | 437121. | + | 1.34532e6i | 0.0396591 | + | 0.122058i | ||||
\(657\) | −8.19680e6 | −0.740851 | ||||||||
\(658\) | −2.96901e6 | − | 9.13769e6i | −0.267330 | − | 0.822757i | ||||
\(659\) | −1.78109e6 | − | 1.29404e6i | −0.159762 | − | 0.116074i | 0.505032 | − | 0.863101i | \(-0.331481\pi\) |
−0.664794 | + | 0.747027i | \(0.731481\pi\) | |||||||
\(660\) | 902068. | − | 7.47407e6i | 0.0806083 | − | 0.667878i | ||||
\(661\) | 6.23262e6 | − | 4.52826e6i | 0.554839 | − | 0.403114i | −0.274728 | − | 0.961522i | \(-0.588588\pi\) |
0.829566 | + | 0.558408i | \(0.188588\pi\) | |||||||
\(662\) | 9.82929e6 | + | 7.14140e6i | 0.871720 | + | 0.633342i | ||||
\(663\) | 3.45535e6 | + | 2.51046e6i | 0.305287 | + | 0.221804i | ||||
\(664\) | −1.70979e6 | + | 1.24224e6i | −0.150495 | + | 0.109341i | ||||
\(665\) | 5.17043e6 | − | 1.01609e6i | 0.453391 | − | 0.0891004i | ||||
\(666\) | −577759. | − | 419766.i | −0.0504732 | − | 0.0366710i | ||||
\(667\) | 355172. | + | 1.09311e6i | 0.0309118 | + | 0.0951366i | ||||
\(668\) | 9.36613e6 | 0.812117 | ||||||||
\(669\) | 3.01241e6 | + | 9.27125e6i | 0.260225 | + | 0.800890i | ||||
\(670\) | −5.64755e6 | + | 6.08133e6i | −0.486041 | + | 0.523373i | ||||
\(671\) | 5.13561e6 | − | 1.58058e7i | 0.440337 | − | 1.35522i | ||||
\(672\) | −500889. | + | 1.54158e6i | −0.0427877 | + | 0.131687i | ||||
\(673\) | 1.66493e7 | − | 1.20964e7i | 1.41696 | − | 1.02948i | 0.424696 | − | 0.905336i | \(-0.360381\pi\) |
0.992264 | − | 0.124146i | \(-0.0396192\pi\) | |||||||
\(674\) | 6.86063e6 | 0.581720 | ||||||||
\(675\) | −7.88086e6 | + | 3.22193e6i | −0.665755 | + | 0.272180i | ||||
\(676\) | −5.40989e6 | −0.455325 | ||||||||
\(677\) | −8.41654e6 | + | 6.11497e6i | −0.705768 | + | 0.512770i | −0.881806 | − | 0.471613i | \(-0.843672\pi\) |
0.176038 | + | 0.984383i | \(0.443672\pi\) | |||||||
\(678\) | 2.41172e6 | − | 7.42250e6i | 0.201489 | − | 0.620120i | ||||
\(679\) | −2.25433e6 | + | 6.93810e6i | −0.187647 | + | 0.577519i | ||||
\(680\) | −2.22135e6 | − | 3.98801e6i | −0.184223 | − | 0.330738i | ||||
\(681\) | −227543. | − | 700305.i | −0.0188016 | − | 0.0578655i | ||||
\(682\) | 1.04879e7 | 0.863430 | ||||||||
\(683\) | −161911. | − | 498312.i | −0.0132808 | − | 0.0408742i | 0.944196 | − | 0.329383i | \(-0.106841\pi\) |
−0.957477 | + | 0.288509i | \(0.906841\pi\) | |||||||
\(684\) | 1.34227e6 | + | 975219.i | 0.109699 | + | 0.0797007i | ||||
\(685\) | −1.08258e7 | + | 1.16573e7i | −0.881522 | + | 0.949232i | ||||
\(686\) | −7.30135e6 | + | 5.30474e6i | −0.592370 | + | 0.430382i | ||||
\(687\) | −5.02068e6 | − | 3.64773e6i | −0.405855 | − | 0.294871i | ||||
\(688\) | −3.39194e6 | − | 2.46439e6i | −0.273198 | − | 0.198490i | ||||
\(689\) | −5.87354e6 | + | 4.26738e6i | −0.471359 | + | 0.342463i | ||||
\(690\) | −3.93412e6 | + | 4.23630e6i | −0.314576 | + | 0.338738i | ||||
\(691\) | −1.90033e6 | − | 1.38067e6i | −0.151403 | − | 0.110001i | 0.509505 | − | 0.860468i | \(-0.329829\pi\) |
−0.660908 | + | 0.750467i | \(0.729829\pi\) | |||||||
\(692\) | −2.43916e6 | − | 7.50697e6i | −0.193631 | − | 0.595936i | ||||
\(693\) | −3.73771e6 | −0.295647 | ||||||||
\(694\) | 2.66192e6 | + | 8.19254e6i | 0.209795 | + | 0.645684i | ||||
\(695\) | 1.10424e7 | + | 1.98246e7i | 0.867166 | + | 1.55683i | ||||
\(696\) | 296945. | − | 913903.i | 0.0232356 | − | 0.0715117i | ||||
\(697\) | −2.17867e6 | + | 6.70526e6i | −0.169867 | + | 0.522798i | ||||
\(698\) | 586709. | − | 426269.i | 0.0455810 | − | 0.0331165i | ||||
\(699\) | 1.91417e6 | 0.148179 | ||||||||
\(700\) | 2.26705e6 | − | 3.66154e6i | 0.174870 | − | 0.282435i | ||||
\(701\) | −2.14123e7 | −1.64577 | −0.822884 | − | 0.568209i | \(-0.807637\pi\) | ||||
−0.822884 | + | 0.568209i | \(0.807637\pi\) | |||||||
\(702\) | 1.60586e6 | − | 1.16673e6i | 0.122989 | − | 0.0893565i | ||||
\(703\) | −637219. | + | 1.96116e6i | −0.0486295 | + | 0.149666i | ||||
\(704\) | 579689. | − | 1.78410e6i | 0.0440822 | − | 0.135671i | ||||
\(705\) | −1.94965e7 | + | 2.09940e7i | −1.47735 | + | 1.59082i | ||||
\(706\) | −1.81619e6 | − | 5.58966e6i | −0.137135 | − | 0.422059i | ||||
\(707\) | −8.81709e6 | −0.663402 | ||||||||
\(708\) | −496619. | − | 1.52843e6i | −0.0372340 | − | 0.114595i | ||||
\(709\) | −7.01553e6 | − | 5.09708e6i | −0.524137 | − | 0.380808i | 0.294023 | − | 0.955798i | \(-0.405006\pi\) |
−0.818160 | + | 0.574990i | \(0.805006\pi\) | |||||||
\(710\) | 1.23830e7 | − | 2.43351e6i | 0.921894 | − | 0.181171i | ||||
\(711\) | 1.60391e6 | − | 1.16531e6i | 0.118989 | − | 0.0864504i | ||||
\(712\) | 3.39470e6 | + | 2.46639e6i | 0.250958 | + | 0.182332i | ||||
\(713\) | −6.51590e6 | − | 4.73408e6i | −0.480010 | − | 0.348748i | ||||
\(714\) | −6.53592e6 | + | 4.74862e6i | −0.479801 | + | 0.348596i | ||||
\(715\) | 558759. | − | 4.62959e6i | 0.0408752 | − | 0.338671i | ||||
\(716\) | −5.62657e6 | − | 4.08794e6i | −0.410168 | − | 0.298004i | ||||
\(717\) | 4.36850e6 | + | 1.34448e7i | 0.317347 | + | 0.976693i | ||||
\(718\) | −9.45671e6 | −0.684588 | ||||||||
\(719\) | −1.10110e6 | − | 3.38884e6i | −0.0794336 | − | 0.244472i | 0.903452 | − | 0.428690i | \(-0.141025\pi\) |
−0.982885 | + | 0.184218i | \(0.941025\pi\) | |||||||
\(720\) | 1.33055e6 | − | 261479.i | 0.0956530 | − | 0.0187977i | ||||
\(721\) | 2.67508e6 | − | 8.23305e6i | 0.191645 | − | 0.589824i | ||||
\(722\) | −1.58021e6 | + | 4.86340e6i | −0.112817 | + | 0.347213i | ||||
\(723\) | 1.14136e7 | − | 8.29243e6i | 0.812036 | − | 0.589978i | ||||
\(724\) | 6.70987e6 | 0.475738 | ||||||||
\(725\) | −1.34399e6 | + | 2.17069e6i | −0.0949622 | + | 0.153375i | ||||
\(726\) | 3.58011e6 | 0.252090 | ||||||||
\(727\) | −5.38732e6 | + | 3.91412e6i | −0.378039 | + | 0.274661i | −0.760537 | − | 0.649295i | \(-0.775064\pi\) |
0.382498 | + | 0.923957i | \(0.375064\pi\) | |||||||
\(728\) | −310261. | + | 954885.i | −0.0216969 | + | 0.0667763i | ||||
\(729\) | 1.61961e6 | − | 4.98464e6i | 0.112873 | − | 0.347388i | ||||
\(730\) | 1.75480e7 | + | 8.13879e6i | 1.21877 | + | 0.565266i | ||||
\(731\) | −6.45747e6 | − | 1.98740e7i | −0.446960 | − | 1.37560i | ||||
\(732\) | 1.06703e7 | 0.736035 | ||||||||
\(733\) | −6.24810e6 | − | 1.92297e7i | −0.429525 | − | 1.32194i | −0.898594 | − | 0.438780i | \(-0.855411\pi\) |
0.469070 | − | 0.883161i | \(-0.344589\pi\) | |||||||
\(734\) | 1.54076e7 | + | 1.11943e7i | 1.05559 | + | 0.766929i | ||||
\(735\) | 8.75004e6 | + | 4.05828e6i | 0.597436 | + | 0.277092i | ||||
\(736\) | −1.16546e6 | + | 846760.i | −0.0793057 | + | 0.0576190i | ||||
\(737\) | −1.37519e7 | − | 9.99137e6i | −0.932599 | − | 0.677573i | ||||
\(738\) | −1.69430e6 | − | 1.23098e6i | −0.114512 | − | 0.0831976i | ||||
\(739\) | 3.88012e6 | − | 2.81907e6i | 0.261357 | − | 0.189887i | −0.449388 | − | 0.893337i | \(-0.648358\pi\) |
0.710745 | + | 0.703450i | \(0.248358\pi\) | |||||||
\(740\) | 820093. | + | 1.47232e6i | 0.0550533 | + | 0.0988379i | ||||
\(741\) | 2.96369e6 | + | 2.15325e6i | 0.198284 | + | 0.144062i | ||||
\(742\) | −4.24365e6 | − | 1.30606e7i | −0.282963 | − | 0.870871i | ||||
\(743\) | 2.22311e6 | 0.147737 | 0.0738685 | − | 0.997268i | \(-0.476465\pi\) | ||||
0.0738685 | + | 0.997268i | \(0.476465\pi\) | |||||||
\(744\) | 2.08083e6 | + | 6.40415e6i | 0.137818 | + | 0.424159i | ||||
\(745\) | −1.20975e6 | + | 1.00234e7i | −0.0798556 | + | 0.661642i | ||||
\(746\) | 1.61862e6 | − | 4.98161e6i | 0.106488 | − | 0.327735i | ||||
\(747\) | 966899. | − | 2.97581e6i | 0.0633986 | − | 0.195121i | ||||
\(748\) | 7.56415e6 | − | 5.49568e6i | 0.494318 | − | 0.359143i | ||||
\(749\) | 1.80905e7 | 1.17828 | ||||||||
\(750\) | −1.28284e7 | − | 592796.i | −0.832757 | − | 0.0384815i | ||||
\(751\) | −1.38644e7 | −0.897018 | −0.448509 | − | 0.893778i | \(-0.648045\pi\) | ||||
−0.448509 | + | 0.893778i | \(0.648045\pi\) | |||||||
\(752\) | −5.77574e6 | + | 4.19632e6i | −0.372446 | + | 0.270598i | ||||
\(753\) | 1.59098e6 | − | 4.89653e6i | 0.102253 | − | 0.314703i | ||||
\(754\) | 183934. | − | 566090.i | 0.0117824 | − | 0.0362625i | ||||
\(755\) | 3.67039e6 | − | 3.04110e7i | 0.234339 | − | 1.94161i | ||||
\(756\) | 1.16024e6 | + | 3.57085e6i | 0.0738317 | + | 0.227231i | ||||
\(757\) | 1.11924e7 | 0.709876 | 0.354938 | − | 0.934890i | \(-0.384502\pi\) | ||||
0.354938 | + | 0.934890i | \(0.384502\pi\) | |||||||
\(758\) | 1.38784e6 | + | 4.27133e6i | 0.0877337 | + | 0.270017i | ||||
\(759\) | −9.57970e6 | − | 6.96006e6i | −0.603597 | − | 0.438539i | ||||
\(760\) | −1.90527e6 | − | 3.42056e6i | −0.119653 | − | 0.214814i | ||||
\(761\) | 2.20345e7 | − | 1.60090e7i | 1.37925 | − | 1.00208i | 0.382296 | − | 0.924040i | \(-0.375134\pi\) |
0.996950 | − | 0.0780406i | \(-0.0248664\pi\) | |||||||
\(762\) | 570052. | + | 414167.i | 0.0355653 | + | 0.0258397i | ||||
\(763\) | −7.92454e6 | − | 5.75752e6i | −0.492791 | − | 0.358034i | ||||
\(764\) | 4.07217e6 | − | 2.95860e6i | 0.252402 | − | 0.183381i | ||||
\(765\) | 6.13112e6 | + | 2.84362e6i | 0.378779 | + | 0.175678i | ||||
\(766\) | −7.78679e6 | − | 5.65743e6i | −0.479497 | − | 0.348375i | ||||
\(767\) | −307616. | − | 946743.i | −0.0188808 | − | 0.0581091i | ||||
\(768\) | 1.20442e6 | 0.0736846 | ||||||||
\(769\) | 6.72932e6 | + | 2.07107e7i | 0.410351 | + | 1.26293i | 0.916344 | + | 0.400392i | \(0.131126\pi\) |
−0.505993 | + | 0.862537i | \(0.668874\pi\) | |||||||
\(770\) | 8.00184e6 | + | 3.71126e6i | 0.486366 | + | 0.225577i | ||||
\(771\) | −4.02259e6 | + | 1.23803e7i | −0.243708 | + | 0.750056i | ||||
\(772\) | 879093. | − | 2.70557e6i | 0.0530874 | − | 0.163386i | ||||
\(773\) | 1.78943e7 | − | 1.30010e7i | 1.07712 | − | 0.782577i | 0.0999456 | − | 0.994993i | \(-0.468133\pi\) |
0.977179 | + | 0.212416i | \(0.0681331\pi\) | |||||||
\(774\) | 6.20731e6 | 0.372436 | ||||||||
\(775\) | −1.32154e6 | − | 1.78417e7i | −0.0790362 | − | 1.06705i | ||||
\(776\) | 5.42069e6 | 0.323147 | ||||||||
\(777\) | 2.41298e6 | − | 1.75313e6i | 0.143384 | − | 0.104174i | ||||
\(778\) | −2.32043e6 | + | 7.14156e6i | −0.137442 | + | 0.423004i | ||||
\(779\) | −1.86867e6 | + | 5.75117e6i | −0.110329 | + | 0.339557i | ||||
\(780\) | 2.93779e6 | − | 577335.i | 0.172896 | − | 0.0339775i | ||||
\(781\) | 7.98740e6 | + | 2.45827e7i | 0.468574 | + | 1.44212i | ||||
\(782\) | −7.18011e6 | −0.419870 | ||||||||
\(783\) | −687831. | − | 2.11693e6i | −0.0400938 | − | 0.123396i | ||||
\(784\) | 1.94442e6 | + | 1.41271e6i | 0.112980 | + | 0.0820846i | ||||
\(785\) | −2.62468e6 | + | 2.17467e7i | −0.152020 | + | 1.25956i | ||||
\(786\) | 4.03606e6 | − | 2.93237e6i | 0.233025 | − | 0.169302i | ||||
\(787\) | 5.58552e6 | + | 4.05812e6i | 0.321460 | + | 0.233554i | 0.736798 | − | 0.676113i | \(-0.236337\pi\) |
−0.415338 | + | 0.909667i | \(0.636337\pi\) | |||||||
\(788\) | 7.73445e6 | + | 5.61941e6i | 0.443725 | + | 0.322385i | ||||
\(789\) | −70406.7 | + | 51153.4i | −0.00402644 | + | 0.00292538i | ||||
\(790\) | −4.59077e6 | + | 902178.i | −0.261708 | + | 0.0514309i | ||||
\(791\) | 7.39779e6 | + | 5.37481e6i | 0.420398 | + | 0.305437i | ||||
\(792\) | 858240. | + | 2.64139e6i | 0.0486178 | + | 0.149630i | ||||
\(793\) | 6.60939e6 | 0.373232 | ||||||||
\(794\) | 2.90101e6 | + | 8.92838e6i | 0.163304 | + | 0.502599i | ||||
\(795\) | −2.78666e7 | + | 3.00070e7i | −1.56374 | + | 1.68386i | ||||
\(796\) | 786842. | − | 2.42165e6i | 0.0440154 | − | 0.135466i | ||||
\(797\) | −7.04956e6 | + | 2.16963e7i | −0.393112 | + | 1.20987i | 0.537311 | + | 0.843384i | \(0.319440\pi\) |
−0.930422 | + | 0.366489i | \(0.880560\pi\) | |||||||
\(798\) | −5.60593e6 | + | 4.07294e6i | −0.311631 | + | 0.226413i | ||||
\(799\) | −3.55828e7 | −1.97185 | ||||||||
\(800\) | −3.10811e6 | − | 761345.i | −0.171700 | − | 0.0420588i | ||||
\(801\) | −6.21237e6 | −0.342118 | ||||||||
\(802\) | −1.92488e7 | + | 1.39851e7i | −1.05674 | + | 0.767768i | ||||
\(803\) | −1.22430e7 | + | 3.76800e7i | −0.670035 | + | 2.06216i | ||||
\(804\) | 3.37253e6 | − | 1.03796e7i | 0.183999 | − | 0.566290i | ||||
\(805\) | −3.29616e6 | − | 5.91764e6i | −0.179275 | − | 0.321854i | ||||
\(806\) | 1.28891e6 | + | 3.96686e6i | 0.0698852 | + | 0.215084i | ||||
\(807\) | 3.83314e7 | 2.07191 | ||||||||
\(808\) | 2.02455e6 | + | 6.23091e6i | 0.109094 | + | 0.335756i | ||||
\(809\) | 2.24955e7 | + | 1.63439e7i | 1.20844 | + | 0.877982i | 0.995088 | − | 0.0989943i | \(-0.0315626\pi\) |
0.213350 | + | 0.976976i | \(0.431563\pi\) | |||||||
\(810\) | 1.11224e7 | − | 1.19767e7i | 0.595644 | − | 0.641395i | ||||
\(811\) | 3.53083e6 | − | 2.56530e6i | 0.188506 | − | 0.136957i | −0.489530 | − | 0.871987i | \(-0.662832\pi\) |
0.678035 | + | 0.735029i | \(0.262832\pi\) | |||||||
\(812\) | 910860. | + | 661779.i | 0.0484799 | + | 0.0352227i | ||||
\(813\) | 2.42161e7 | + | 1.75940e7i | 1.28492 | + | 0.933552i | ||||
\(814\) | −2.79258e6 | + | 2.02893e6i | −0.147722 | + | 0.107326i | ||||
\(815\) | −910029. | + | 979928.i | −0.0479912 | + | 0.0516773i | ||||
\(816\) | 4.85654e6 | + | 3.52848e6i | 0.255330 | + | 0.185508i | ||||
\(817\) | −5.53864e6 | − | 1.70462e7i | −0.290301 | − | 0.893453i | ||||
\(818\) | −1.23869e7 | −0.647261 | ||||||||
\(819\) | −459347. | − | 1.41372e6i | −0.0239293 | − | 0.0736469i | ||||
\(820\) | 2.40495e6 | + | 4.31764e6i | 0.124903 | + | 0.224239i | ||||
\(821\) | −8.05568e6 | + | 2.47928e7i | −0.417104 | + | 1.28371i | 0.493252 | + | 0.869887i | \(0.335808\pi\) |
−0.910356 | + | 0.413827i | \(0.864192\pi\) | |||||||
\(822\) | 6.46480e6 | − | 1.98966e7i | 0.333715 | − | 1.02707i | ||||
\(823\) | 7.33710e6 | − | 5.33072e6i | 0.377594 | − | 0.274338i | −0.382759 | − | 0.923848i | \(-0.625026\pi\) |
0.760353 | + | 0.649510i | \(0.225026\pi\) | |||||||
\(824\) | −6.43242e6 | −0.330032 | ||||||||
\(825\) | −1.94293e6 | − | 2.62310e7i | −0.0993855 | − | 1.34177i | ||||
\(826\) | 1.88296e6 | 0.0960264 | ||||||||
\(827\) | 1.97859e7 | − | 1.43753e7i | 1.00599 | − | 0.730892i | 0.0426234 | − | 0.999091i | \(-0.486428\pi\) |
0.963364 | + | 0.268199i | \(0.0864284\pi\) | |||||||
\(828\) | 659079. | − | 2.02844e6i | 0.0334088 | − | 0.102822i | ||||
\(829\) | 2.82274e6 | − | 8.68751e6i | 0.142654 | − | 0.439045i | −0.854048 | − | 0.520195i | \(-0.825859\pi\) |
0.996702 | + | 0.0811499i | \(0.0258593\pi\) | |||||||
\(830\) | −5.02472e6 | + | 5.41067e6i | −0.253173 | + | 0.272619i | ||||
\(831\) | −966293. | − | 2.97394e6i | −0.0485407 | − | 0.149393i | ||||
\(832\) | 746045. | 0.0373643 | ||||||||
\(833\) | 3.70174e6 | + | 1.13928e7i | 0.184839 | + | 0.568875i | ||||
\(834\) | −2.41421e7 | − | 1.75402e7i | −1.20188 | − | 0.873213i | ||||
\(835\) | 3.21097e7 | − | 6.31020e6i | 1.59375 | − | 0.313204i | ||||
\(836\) | 6.48785e6 | − | 4.71370e6i | 0.321059 | − | 0.233263i | ||||
\(837\) | 1.26188e7 | + | 9.16810e6i | 0.622594 | + | 0.452341i | ||||
\(838\) | −4.64923e6 | − | 3.37786e6i | −0.228702 | − | 0.166162i | ||||
\(839\) | 1.68106e7 | − | 1.22136e7i | 0.824477 | − | 0.599018i | −0.0935142 | − | 0.995618i | \(-0.529810\pi\) |
0.917991 | + | 0.396600i | \(0.129810\pi\) | |||||||
\(840\) | −678588. | + | 5.62243e6i | −0.0331824 | + | 0.274932i | ||||
\(841\) | 1.60539e7 | + | 1.16638e7i | 0.782690 | + | 0.568658i | ||||
\(842\) | −5.18185e6 | − | 1.59481e7i | −0.251886 | − | 0.775226i | ||||
\(843\) | −3.65667e7 | −1.77222 | ||||||||
\(844\) | −1.75089e6 | − | 5.38868e6i | −0.0846063 | − | 0.260391i | ||||
\(845\) | −1.85466e7 | + | 3.64478e6i | −0.893559 | + | 0.175602i | ||||
\(846\) | 3.26622e6 | − | 1.00524e7i | 0.156899 | − | 0.482885i | ||||
\(847\) | −1.29622e6 | + | 3.98936e6i | −0.0620827 | + | 0.191071i | ||||
\(848\) | −8.25534e6 | + | 5.99786e6i | −0.394226 | + | 0.286422i | ||||
\(849\) | 1.50878e7 | 0.718385 | ||||||||
\(850\) | −1.03022e7 | − | 1.21755e7i | −0.489085 | − | 0.578013i | ||||
\(851\) | 2.65080e6 | 0.125474 | ||||||||
\(852\) | −1.34260e7 | + | 9.75457e6i | −0.633648 | + | 0.460372i | ||||
\(853\) | 7.60050e6 | − | 2.33919e7i | 0.357659 | − | 1.10076i | −0.596792 | − | 0.802396i | \(-0.703558\pi\) |
0.954451 | − | 0.298366i | \(-0.0964417\pi\) | |||||||
\(854\) | −3.86330e6 | + | 1.18900e7i | −0.181265 | + | 0.557876i | ||||
\(855\) | 5.25873e6 | + | 2.43900e6i | 0.246017 | + | 0.114103i | ||||
\(856\) | −4.15388e6 | − | 1.27843e7i | −0.193763 | − | 0.596340i | ||||
\(857\) | −1.83109e7 | −0.851643 | −0.425822 | − | 0.904807i | \(-0.640015\pi\) | ||||
−0.425822 | + | 0.904807i | \(0.640015\pi\) | |||||||
\(858\) | 1.89496e6 | + | 5.83209e6i | 0.0878783 | + | 0.270462i | ||||
\(859\) | −2.61471e7 | − | 1.89970e7i | −1.20904 | − | 0.878419i | −0.213897 | − | 0.976856i | \(-0.568616\pi\) |
−0.995143 | + | 0.0984373i | \(0.968616\pi\) | |||||||
\(860\) | −1.32888e7 | − | 6.16338e6i | −0.612690 | − | 0.284166i | ||||
\(861\) | 7.07615e6 | − | 5.14112e6i | 0.325304 | − | 0.236347i | ||||
\(862\) | 8.22234e6 | + | 5.97388e6i | 0.376901 | + | 0.273835i | ||||
\(863\) | −1.46449e7 | − | 1.06402e7i | −0.669361 | − | 0.486319i | 0.200450 | − | 0.979704i | \(-0.435759\pi\) |
−0.869811 | + | 0.493385i | \(0.835759\pi\) | |||||||
\(864\) | 2.25706e6 | − | 1.63985e6i | 0.102863 | − | 0.0747342i | ||||
\(865\) | −1.34198e7 | − | 2.40927e7i | −0.609825 | − | 1.09483i | ||||
\(866\) | 9.12023e6 | + | 6.62623e6i | 0.413248 | + | 0.300242i | ||||
\(867\) | 1.18218e6 | + | 3.63837e6i | 0.0534116 | + | 0.164384i | ||||
\(868\) | −7.88960e6 | −0.355431 | ||||||||
\(869\) | −2.96118e6 | − | 9.11356e6i | −0.133019 | − | 0.409391i | ||||
\(870\) | 402291. | − | 3.33318e6i | 0.0180195 | − | 0.149300i | ||||
\(871\) | 2.08901e6 | − | 6.42931e6i | 0.0933029 | − | 0.287157i | ||||
\(872\) | −2.24915e6 | + | 6.92218e6i | −0.100168 | + | 0.308285i | ||||
\(873\) | −6.49270e6 | + | 4.71722e6i | −0.288330 | + | 0.209484i | ||||
\(874\) | −6.15846e6 | −0.272705 | ||||||||
\(875\) | 5.30522e6 | − | 1.40802e7i | 0.234252 | − | 0.621710i | ||||
\(876\) | −2.54373e7 | −1.11998 | ||||||||
\(877\) | −6.38133e6 | + | 4.63630e6i | −0.280164 | + | 0.203551i | −0.718989 | − | 0.695022i | \(-0.755395\pi\) |
0.438825 | + | 0.898573i | \(0.355395\pi\) | |||||||
\(878\) | −4.88984e6 | + | 1.50494e7i | −0.214071 | + | 0.658843i | ||||
\(879\) | 1.40288e7 | − | 4.31761e7i | 0.612417 | − | 1.88483i | ||||
\(880\) | 785344. | − | 6.50695e6i | 0.0341864 | − | 0.283251i | ||||
\(881\) | 5.56272e6 | + | 1.71203e7i | 0.241461 | + | 0.743141i | 0.996198 | + | 0.0871140i | \(0.0277644\pi\) |
−0.754737 | + | 0.656027i | \(0.772236\pi\) | |||||||
\(882\) | −3.55833e6 | −0.154019 | ||||||||
\(883\) | 580053. | + | 1.78522e6i | 0.0250361 | + | 0.0770531i | 0.962794 | − | 0.270237i | \(-0.0871020\pi\) |
−0.937758 | + | 0.347290i | \(0.887102\pi\) | |||||||
\(884\) | 3.00824e6 | + | 2.18561e6i | 0.129474 | + | 0.0940682i | ||||
\(885\) | −2.73230e6 | − | 4.90532e6i | −0.117265 | − | 0.210528i | ||||
\(886\) | 5.25633e6 | − | 3.81895e6i | 0.224956 | − | 0.163440i | ||||
\(887\) | −2.61073e7 | − | 1.89681e7i | −1.11417 | − | 0.809495i | −0.130858 | − | 0.991401i | \(-0.541773\pi\) |
−0.983316 | + | 0.181907i | \(0.941773\pi\) | |||||||
\(888\) | −1.79297e6 | − | 1.30267e6i | −0.0763028 | − | 0.0554373i | ||||
\(889\) | −667905. | + | 485261.i | −0.0283439 | + | 0.0205931i | ||||
\(890\) | 1.32997e7 | + | 6.16840e6i | 0.562815 | + | 0.261034i | ||||
\(891\) | 2.70834e7 | + | 1.96772e7i | 1.14290 | + | 0.830367i | ||||
\(892\) | 2.62261e6 | + | 8.07158e6i | 0.110363 | + | 0.339661i | ||||
\(893\) | −3.05197e7 | −1.28071 | ||||||||
\(894\) | −4.10271e6 | − | 1.26269e7i | −0.171683 | − | 0.528386i | ||||
\(895\) | −2.20436e7 | − | 1.02239e7i | −0.919868 | − | 0.426636i | ||||
\(896\) | −436076. | + | 1.34210e6i | −0.0181465 | + | 0.0558491i | ||||
\(897\) | 1.45522e6 | − | 4.47870e6i | 0.0603875 | − | 0.185854i | ||||
\(898\) | 1.19574e7 | − | 8.68756e6i | 0.494819 | − | 0.359507i | ||||
\(899\) | 4.67724e6 | 0.193015 | ||||||||
\(900\) | 4.38532e6 | − | 1.79285e6i | 0.180466 | − | 0.0737797i | ||||
\(901\) | −5.08589e7 | −2.08716 | ||||||||
\(902\) | −8.18937e6 | + | 5.94992e6i | −0.335146 | + | 0.243498i | ||||
\(903\) | −8.01110e6 | + | 2.46556e7i | −0.326944 | + | 1.00623i | ||||
\(904\) | 2.09965e6 | − | 6.46205e6i | 0.0854526 | − | 0.262996i | ||||
\(905\) | 2.30033e7 | − | 4.52062e6i | 0.933619 | − | 0.183475i | ||||
\(906\) | 1.24477e7 | + | 3.83100e7i | 0.503810 | + | 1.55057i | ||||
\(907\) | 2.32799e7 | 0.939641 | 0.469821 | − | 0.882762i | \(-0.344319\pi\) | ||||
0.469821 | + | 0.882762i | \(0.344319\pi\) | |||||||
\(908\) | −198100. | − | 609688.i | −0.00797387 | − | 0.0245410i | ||||
\(909\) | −7.84723e6 | − | 5.70135e6i | −0.314997 | − | 0.228859i | ||||
\(910\) | −420331. | + | 3.48265e6i | −0.0168263 | + | 0.139414i | ||||
\(911\) | −6.43583e6 | + | 4.67590e6i | −0.256926 | + | 0.186668i | −0.708791 | − | 0.705419i | \(-0.750759\pi\) |
0.451865 | + | 0.892087i | \(0.350759\pi\) | |||||||
\(912\) | 4.16550e6 | + | 3.02642e6i | 0.165837 | + | 0.120487i | ||||
\(913\) | −1.22353e7 | − | 8.88949e6i | −0.485779 | − | 0.352939i | ||||
\(914\) | −2.19071e6 | + | 1.59165e6i | −0.0867401 | + | 0.0630204i | ||||
\(915\) | 3.65808e7 | − | 7.18885e6i | 1.44444 | − | 0.283862i | ||||
\(916\) | −4.37102e6 | − | 3.17573e6i | −0.172125 | − | 0.125056i | ||||
\(917\) | 1.80627e6 | + | 5.55913e6i | 0.0709348 | + | 0.218315i | ||||
\(918\) | 1.39051e7 | 0.544588 | ||||||||
\(919\) | −5.59027e6 | − | 1.72051e7i | −0.218345 | − | 0.671998i | −0.998899 | − | 0.0469095i | \(-0.985063\pi\) |
0.780554 | − | 0.625089i | \(-0.214937\pi\) | |||||||
\(920\) | −3.42506e6 | + | 3.68814e6i | −0.133413 | + | 0.143660i | ||||
\(921\) | 4.29830e6 | − | 1.32288e7i | 0.166974 | − | 0.513892i | ||||
\(922\) | −6.53121e6 | + | 2.01010e7i | −0.253027 | + | 0.778736i | ||||
\(923\) | −8.31635e6 | + | 6.04218e6i | −0.321313 | + | 0.233448i | ||||
\(924\) | −1.15993e7 | −0.446943 | ||||||||
\(925\) | 3.80345e6 | + | 4.49502e6i | 0.146158 | + | 0.172734i | ||||
\(926\) | −434437. | −0.0166494 | ||||||||
\(927\) | 7.70452e6 | − | 5.59766e6i | 0.294473 | − | 0.213947i | ||||
\(928\) | 258521. | − | 795647.i | 0.00985432 | − | 0.0303285i | ||||
\(929\) | −7.69949e6 | + | 2.36966e7i | −0.292700 | + | 0.900838i | 0.691284 | + | 0.722583i | \(0.257045\pi\) |
−0.983984 | + | 0.178255i | \(0.942955\pi\) | |||||||
\(930\) | 1.14483e7 | + | 2.05533e7i | 0.434045 | + | 0.779246i | ||||
\(931\) | 3.17502e6 | + | 9.77170e6i | 0.120053 | + | 0.369484i | ||||
\(932\) | 1.66648e6 | 0.0628435 | ||||||||
\(933\) | −2.93816e6 | − | 9.04273e6i | −0.110502 | − | 0.340091i | ||||
\(934\) | −1.41689e7 | − | 1.02943e7i | −0.531458 | − | 0.386127i | ||||
\(935\) | 2.22295e7 | − | 2.39369e7i | 0.831573 | − | 0.895445i | ||||
\(936\) | −893585. | + | 649227.i | −0.0333385 | + | 0.0242218i | ||||
\(937\) | −2.04191e7 | − | 1.48354e7i | −0.759780 | − | 0.552013i | 0.139063 | − | 0.990284i | \(-0.455591\pi\) |
−0.898843 | + | 0.438271i | \(0.855591\pi\) | |||||||
\(938\) | 1.03450e7 | + | 7.51609e6i | 0.383905 | + | 0.278923i | ||||
\(939\) | −2.40927e7 | + | 1.75044e7i | −0.891707 | + | 0.647863i | ||||
\(940\) | −1.69737e7 | + | 1.82774e7i | −0.626552 | + | 0.674677i | ||||
\(941\) | 2.30954e7 | + | 1.67798e7i | 0.850260 | + | 0.617750i | 0.925218 | − | 0.379437i | \(-0.123882\pi\) |
−0.0749579 | + | 0.997187i | \(0.523882\pi\) | |||||||
\(942\) | −8.90125e6 | − | 2.73952e7i | −0.326831 | − | 1.00588i | ||||
\(943\) | 7.77358e6 | 0.284670 | ||||||||
\(944\) | −432358. | − | 1.33066e6i | −0.0157911 | − | 0.0486001i | ||||
\(945\) | 6.38340e6 | + | 1.14602e7i | 0.232527 | + | 0.417458i | ||||
\(946\) | 9.27140e6 | − | 2.85344e7i | 0.336835 | − | 1.03667i | ||||
\(947\) | −6.99431e6 | + | 2.15263e7i | −0.253437 | + | 0.779998i | 0.740697 | + | 0.671839i | \(0.234496\pi\) |
−0.994134 | + | 0.108159i | \(0.965504\pi\) | |||||||
\(948\) | 4.97744e6 | − | 3.61632e6i | 0.179881 | − | 0.130691i | ||||
\(949\) | −1.57564e7 | −0.567924 | ||||||||
\(950\) | −8.83634e6 | − | 1.04430e7i | −0.317661 | − | 0.375420i | ||||
\(951\) | −1.21121e7 | −0.434277 | ||||||||
\(952\) | −5.69020e6 | + | 4.13417e6i | −0.203486 | + | 0.147841i | ||||
\(953\) | −1.16880e7 | + | 3.59718e7i | −0.416875 | + | 1.28301i | 0.493687 | + | 0.869639i | \(0.335649\pi\) |
−0.910563 | + | 0.413371i | \(0.864351\pi\) | |||||||
\(954\) | 4.66845e6 | − | 1.43680e7i | 0.166074 | − | 0.511124i | ||||
\(955\) | 1.19673e7 | − | 1.28865e7i | 0.424606 | − | 0.457220i | ||||
\(956\) | 3.80323e6 | + | 1.17051e7i | 0.134588 | + | 0.414220i | ||||
\(957\) | 6.87649e6 | 0.242710 | ||||||||
\(958\) | −4.21862e6 | − | 1.29836e7i | −0.148510 | − | 0.457068i | ||||
\(959\) | 1.98304e7 | + | 1.44076e7i | 0.696281 | + | 0.505877i | ||||
\(960\) | 4.12911e6 | − | 811452.i | 0.144603 | − | 0.0284174i | ||||
\(961\) | −3.35455e6 | + | 2.43722e6i | −0.117172 | + | 0.0851308i | ||||
\(962\) | −1.11060e6 | − | 806899.i | −0.0386920 | − | 0.0281114i | ||||
\(963\) | 1.61006e7 | + | 1.16978e7i | 0.559470 | + | 0.406479i | ||||
\(964\) | 9.93668e6 | − | 7.21942e6i | 0.344388 | − | 0.250213i | ||||
\(965\) | 1.19097e6 | − | 9.86773e6i | 0.0411700 | − | 0.341114i | ||||
\(966\) | 7.20640e6 | + | 5.23576e6i | 0.248471 | + | 0.180525i | ||||
\(967\) | 9.01934e6 | + | 2.77587e7i | 0.310176 | + | 0.954625i | 0.977695 | + | 0.210031i | \(0.0673566\pi\) |
−0.667518 | + | 0.744593i | \(0.732643\pi\) | |||||||
\(968\) | 3.11686e6 | 0.106913 | ||||||||
\(969\) | 7.93016e6 | + | 2.44065e7i | 0.271314 | + | 0.835019i | ||||
\(970\) | 1.85837e7 | − | 3.65206e6i | 0.634164 | − | 0.124626i | ||||
\(971\) | 1.29925e7 | − | 3.99869e7i | 0.442227 | − | 1.36104i | −0.443268 | − | 0.896389i | \(-0.646181\pi\) |
0.885496 | − | 0.464647i | \(-0.153819\pi\) | |||||||
\(972\) | −3.36858e6 | + | 1.03674e7i | −0.114362 | + | 0.351969i | ||||
\(973\) | 2.82862e7 | − | 2.05511e7i | 0.957839 | − | 0.695911i | ||||
\(974\) | −1.96949e7 | −0.665208 | ||||||||
\(975\) | 9.68262e6 | − | 3.95854e6i | 0.326198 | − | 0.133359i | ||||
\(976\) | 9.28959e6 | 0.312156 | ||||||||
\(977\) | 8.54145e6 | − | 6.20573e6i | 0.286283 | − | 0.207997i | −0.435370 | − | 0.900251i | \(-0.643383\pi\) |
0.721653 | + | 0.692255i | \(0.243383\pi\) | |||||||
\(978\) | 543439. | − | 1.67253e6i | 0.0181679 | − | 0.0559149i | ||||
\(979\) | −9.27896e6 | + | 2.85577e7i | −0.309416 | + | 0.952284i | ||||
\(980\) | 7.61781e6 | + | 3.53315e6i | 0.253376 | + | 0.117516i | ||||
\(981\) | −3.32991e6 | − | 1.02484e7i | −0.110474 | − | 0.340004i | ||||
\(982\) | 3.71945e7 | 1.23083 | ||||||||
\(983\) | 2.81677e6 | + | 8.66912e6i | 0.0929752 | + | 0.286148i | 0.986721 | − | 0.162426i | \(-0.0519319\pi\) |
−0.893745 | + | 0.448574i | \(0.851932\pi\) | |||||||
\(984\) | −5.25796e6 | − | 3.82013e6i | −0.173113 | − | 0.125774i | ||||
\(985\) | 3.03018e7 | + | 1.40540e7i | 0.995127 | + | 0.461541i | ||||
\(986\) | 3.37335e6 | − | 2.45088e6i | 0.110502 | − | 0.0802843i | ||||
\(987\) | 3.57131e7 | + | 2.59471e7i | 1.16690 | + | 0.847804i | ||||
\(988\) | 2.58020e6 | + | 1.87462e6i | 0.0840931 | + | 0.0610972i | ||||
\(989\) | −1.86402e7 | + | 1.35429e7i | −0.605981 | + | 0.440271i | ||||
\(990\) | 4.72186e6 | + | 8.47721e6i | 0.153118 | + | 0.274894i | ||||
\(991\) | 4.73485e7 | + | 3.44007e7i | 1.53152 | + | 1.11271i | 0.955388 | + | 0.295355i | \(0.0954379\pi\) |
0.576130 | + | 0.817358i | \(0.304562\pi\) | |||||||
\(992\) | 1.81158e6 | + | 5.57547e6i | 0.0584492 | + | 0.179888i | ||||
\(993\) | −5.58218e7 | −1.79652 | ||||||||
\(994\) | −6.00858e6 | − | 1.84925e7i | −0.192888 | − | 0.593650i | ||||
\(995\) | 1.06599e6 | − | 8.83222e6i | 0.0341346 | − | 0.282821i | ||||
\(996\) | 3.00059e6 | − | 9.23488e6i | 0.0958427 | − | 0.294973i | ||||
\(997\) | −3.71493e6 | + | 1.14334e7i | −0.118362 | + | 0.364281i | −0.992633 | − | 0.121156i | \(-0.961340\pi\) |
0.874271 | + | 0.485438i | \(0.161340\pi\) | |||||||
\(998\) | 3.15499e7 | − | 2.29223e7i | 1.00270 | − | 0.728505i | ||||
\(999\) | −5.13359e6 | −0.162745 |
(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 | 50.6.d.a.11.5 | ✓ | 24 | |
25.16 | even | 5 | inner | 50.6.d.a.41.5 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
50.6.d.a.11.5 | ✓ | 24 | 1.1 | even | 1 | trivial | |
50.6.d.a.41.5 | yes | 24 | 25.16 | even | 5 | inner |