Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [25,6,Mod(6,25)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(25, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("25.6");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 25 = 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 25.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: | \(4.00959549532\) |
Analytic rank: | \(0\) |
Dimension: | \(44\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 11.7 | ||
Character | \(\chi\) | \(=\) | 25.11 |
Dual form | 25.6.d.a.16.7 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/25\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.06882 | − | 1.50308i | 0.365719 | − | 0.265710i | −0.389715 | − | 0.920936i | \(-0.627426\pi\) |
0.755433 | + | 0.655225i | \(0.227426\pi\) | |||||||
\(3\) | −3.25658 | + | 10.0227i | −0.208909 | + | 0.642957i | 0.790621 | + | 0.612306i | \(0.209758\pi\) |
−0.999530 | + | 0.0306509i | \(0.990242\pi\) | |||||||
\(4\) | −7.86780 | + | 24.2146i | −0.245869 | + | 0.756706i | ||||
\(5\) | −54.0584 | + | 14.2370i | −0.967026 | + | 0.254679i | ||||
\(6\) | 8.32772 | + | 25.6301i | 0.0944382 | + | 0.290651i | ||||
\(7\) | −36.6142 | −0.282426 | −0.141213 | − | 0.989979i | \(-0.545100\pi\) | ||||
−0.141213 | + | 0.989979i | \(0.545100\pi\) | |||||||
\(8\) | 45.4065 | + | 139.747i | 0.250838 | + | 0.772000i | ||||
\(9\) | 106.742 | + | 77.5524i | 0.439266 | + | 0.319146i | ||||
\(10\) | −90.4375 | + | 110.708i | −0.285989 | + | 0.350090i | ||||
\(11\) | 55.3269 | − | 40.1974i | 0.137865 | − | 0.100165i | −0.516715 | − | 0.856157i | \(-0.672845\pi\) |
0.654580 | + | 0.755992i | \(0.272845\pi\) | |||||||
\(12\) | −217.074 | − | 157.713i | −0.435165 | − | 0.316166i | ||||
\(13\) | 278.848 | + | 202.595i | 0.457624 | + | 0.332483i | 0.792599 | − | 0.609744i | \(-0.208728\pi\) |
−0.334974 | + | 0.942227i | \(0.608728\pi\) | |||||||
\(14\) | −75.7481 | + | 55.0342i | −0.103288 | + | 0.0750434i | ||||
\(15\) | 33.3518 | − | 588.175i | 0.0382729 | − | 0.674961i | ||||
\(16\) | −355.152 | − | 258.033i | −0.346828 | − | 0.251985i | ||||
\(17\) | −201.510 | − | 620.182i | −0.169112 | − | 0.520472i | 0.830204 | − | 0.557459i | \(-0.188224\pi\) |
−0.999316 | + | 0.0369876i | \(0.988224\pi\) | |||||||
\(18\) | 337.397 | 0.245448 | ||||||||
\(19\) | 322.638 | + | 992.978i | 0.205037 | + | 0.631038i | 0.999712 | + | 0.0240033i | \(0.00764123\pi\) |
−0.794675 | + | 0.607035i | \(0.792359\pi\) | |||||||
\(20\) | 80.5772 | − | 1421.02i | 0.0450440 | − | 0.794372i | ||||
\(21\) | 119.237 | − | 366.973i | 0.0590014 | − | 0.181587i | ||||
\(22\) | 54.0413 | − | 166.322i | 0.0238051 | − | 0.0732645i | ||||
\(23\) | 1655.07 | − | 1202.48i | 0.652375 | − | 0.473978i | −0.211704 | − | 0.977334i | \(-0.567901\pi\) |
0.864079 | + | 0.503355i | \(0.167901\pi\) | |||||||
\(24\) | −1548.51 | −0.548765 | ||||||||
\(25\) | 2719.62 | − | 1539.26i | 0.870277 | − | 0.492563i | ||||
\(26\) | 881.403 | 0.255706 | ||||||||
\(27\) | −3196.67 | + | 2322.52i | −0.843896 | + | 0.613126i | ||||
\(28\) | 288.073 | − | 886.597i | 0.0694396 | − | 0.213713i | ||||
\(29\) | −1240.01 | + | 3816.37i | −0.273799 | + | 0.842666i | 0.715736 | + | 0.698371i | \(0.246091\pi\) |
−0.989535 | + | 0.144295i | \(0.953909\pi\) | |||||||
\(30\) | −815.078 | − | 1266.96i | −0.165347 | − | 0.257015i | ||||
\(31\) | 2940.31 | + | 9049.34i | 0.549527 | + | 1.69127i | 0.709977 | + | 0.704225i | \(0.248705\pi\) |
−0.160450 | + | 0.987044i | \(0.551295\pi\) | |||||||
\(32\) | −5824.62 | −1.00553 | ||||||||
\(33\) | 222.710 | + | 685.432i | 0.0356004 | + | 0.109567i | ||||
\(34\) | −1349.07 | − | 980.159i | −0.200142 | − | 0.145412i | ||||
\(35\) | 1979.30 | − | 521.276i | 0.273113 | − | 0.0719279i | ||||
\(36\) | −2717.72 | + | 1974.54i | −0.349501 | + | 0.253928i | ||||
\(37\) | −3171.57 | − | 2304.28i | −0.380864 | − | 0.276714i | 0.380837 | − | 0.924642i | \(-0.375636\pi\) |
−0.761702 | + | 0.647928i | \(0.775636\pi\) | |||||||
\(38\) | 2160.01 | + | 1569.34i | 0.242659 | + | 0.176302i | ||||
\(39\) | −2938.64 | + | 2135.04i | −0.309374 | + | 0.224774i | ||||
\(40\) | −4444.18 | − | 6908.04i | −0.439179 | − | 0.682660i | ||||
\(41\) | 11804.6 | + | 8576.56i | 1.09671 | + | 0.796807i | 0.980520 | − | 0.196419i | \(-0.0629314\pi\) |
0.116191 | + | 0.993227i | \(0.462931\pi\) | |||||||
\(42\) | −304.912 | − | 938.424i | −0.0266718 | − | 0.0820872i | ||||
\(43\) | 11969.7 | 0.987214 | 0.493607 | − | 0.869685i | \(-0.335678\pi\) | ||||
0.493607 | + | 0.869685i | \(0.335678\pi\) | |||||||
\(44\) | 538.062 | + | 1655.98i | 0.0418987 | + | 0.128951i | ||||
\(45\) | −6874.40 | − | 2672.67i | −0.506062 | − | 0.196750i | ||||
\(46\) | 1616.61 | − | 4975.43i | 0.112645 | − | 0.346686i | ||||
\(47\) | 7139.63 | − | 21973.5i | 0.471445 | − | 1.45096i | −0.379247 | − | 0.925295i | \(-0.623817\pi\) |
0.850692 | − | 0.525664i | \(-0.176183\pi\) | |||||||
\(48\) | 3742.77 | − | 2719.28i | 0.234471 | − | 0.170353i | ||||
\(49\) | −15466.4 | −0.920236 | ||||||||
\(50\) | 3312.76 | − | 7272.26i | 0.187398 | − | 0.411381i | ||||
\(51\) | 6872.14 | 0.369970 | ||||||||
\(52\) | −7099.67 | + | 5158.21i | −0.364108 | + | 0.264540i | ||||
\(53\) | 7924.02 | − | 24387.6i | 0.387486 | − | 1.19256i | −0.547175 | − | 0.837018i | \(-0.684297\pi\) |
0.934661 | − | 0.355541i | \(-0.115703\pi\) | |||||||
\(54\) | −3122.39 | + | 9609.74i | −0.145715 | + | 0.448464i | ||||
\(55\) | −2418.59 | + | 2960.69i | −0.107809 | + | 0.131974i | ||||
\(56\) | −1662.52 | − | 5116.72i | −0.0708431 | − | 0.218032i | ||||
\(57\) | −11003.0 | −0.448565 | ||||||||
\(58\) | 3170.96 | + | 9759.23i | 0.123772 | + | 0.380930i | ||||
\(59\) | 7627.30 | + | 5541.56i | 0.285260 | + | 0.207253i | 0.721208 | − | 0.692718i | \(-0.243587\pi\) |
−0.435949 | + | 0.899972i | \(0.643587\pi\) | |||||||
\(60\) | 13980.0 | + | 5435.24i | 0.501337 | + | 0.194913i | ||||
\(61\) | −25439.6 | + | 18483.0i | −0.875359 | + | 0.635986i | −0.932020 | − | 0.362408i | \(-0.881955\pi\) |
0.0566605 | + | 0.998394i | \(0.481955\pi\) | |||||||
\(62\) | 19684.9 | + | 14301.9i | 0.650360 | + | 0.472514i | ||||
\(63\) | −3908.26 | − | 2839.52i | −0.124060 | − | 0.0901349i | ||||
\(64\) | −685.233 | + | 497.851i | −0.0209116 | + | 0.0151932i | ||||
\(65\) | −17958.4 | − | 6981.99i | −0.527211 | − | 0.204973i | ||||
\(66\) | 1491.01 | + | 1083.28i | 0.0421328 | + | 0.0306113i | ||||
\(67\) | 1432.32 | + | 4408.21i | 0.0389809 | + | 0.119971i | 0.968653 | − | 0.248416i | \(-0.0799101\pi\) |
−0.929672 | + | 0.368387i | \(0.879910\pi\) | |||||||
\(68\) | 16602.9 | 0.435423 | ||||||||
\(69\) | 6662.24 | + | 20504.3i | 0.168460 | + | 0.518468i | ||||
\(70\) | 3311.29 | − | 4053.48i | 0.0807705 | − | 0.0988743i | ||||
\(71\) | 10186.0 | − | 31349.2i | 0.239804 | − | 0.738042i | −0.756643 | − | 0.653828i | \(-0.773162\pi\) |
0.996448 | − | 0.0842140i | \(-0.0268379\pi\) | |||||||
\(72\) | −5990.94 | + | 18438.2i | −0.136196 | + | 0.419167i | ||||
\(73\) | −66973.7 | + | 48659.3i | −1.47095 | + | 1.06871i | −0.490610 | + | 0.871379i | \(0.663226\pi\) |
−0.980338 | + | 0.197327i | \(0.936774\pi\) | |||||||
\(74\) | −10024.9 | −0.212815 | ||||||||
\(75\) | 6570.90 | + | 32270.6i | 0.134888 | + | 0.662452i | ||||
\(76\) | −26583.0 | −0.527923 | ||||||||
\(77\) | −2025.75 | + | 1471.79i | −0.0389367 | + | 0.0282892i | ||||
\(78\) | −2870.35 | + | 8834.04i | −0.0534194 | + | 0.164408i | ||||
\(79\) | 21650.0 | − | 66631.9i | 0.390293 | − | 1.20120i | −0.542274 | − | 0.840202i | \(-0.682437\pi\) |
0.932567 | − | 0.360997i | \(-0.117563\pi\) | |||||||
\(80\) | 22872.5 | + | 8892.54i | 0.399567 | + | 0.155346i | ||||
\(81\) | −2960.19 | − | 9110.54i | −0.0501312 | − | 0.154288i | ||||
\(82\) | 37312.9 | 0.612808 | ||||||||
\(83\) | −5537.05 | − | 17041.3i | −0.0882232 | − | 0.271523i | 0.897205 | − | 0.441614i | \(-0.145594\pi\) |
−0.985428 | + | 0.170091i | \(0.945594\pi\) | |||||||
\(84\) | 7947.97 | + | 5774.54i | 0.122902 | + | 0.0892933i | ||||
\(85\) | 19722.8 | + | 30657.2i | 0.296089 | + | 0.460240i | ||||
\(86\) | 24763.1 | − | 17991.4i | 0.361043 | − | 0.262313i | ||||
\(87\) | −34212.2 | − | 24856.6i | −0.484599 | − | 0.352082i | ||||
\(88\) | 8129.66 | + | 5906.55i | 0.111909 | + | 0.0813068i | ||||
\(89\) | 114662. | − | 83306.6i | 1.53442 | − | 1.11482i | 0.580698 | − | 0.814119i | \(-0.302780\pi\) |
0.953719 | − | 0.300700i | \(-0.0972203\pi\) | |||||||
\(90\) | −18239.1 | + | 4803.52i | −0.237355 | + | 0.0625106i | ||||
\(91\) | −10209.8 | − | 7417.84i | −0.129245 | − | 0.0939018i | ||||
\(92\) | 16095.8 | + | 49537.8i | 0.198264 | + | 0.610193i | ||||
\(93\) | −100274. | −1.20221 | ||||||||
\(94\) | −18257.5 | − | 56190.7i | −0.213118 | − | 0.655911i | ||||
\(95\) | −31578.3 | − | 49085.4i | −0.358988 | − | 0.558012i | ||||
\(96\) | 18968.3 | − | 58378.5i | 0.210064 | − | 0.646510i | ||||
\(97\) | 4060.24 | − | 12496.1i | 0.0438149 | − | 0.134849i | −0.926756 | − | 0.375664i | \(-0.877415\pi\) |
0.970571 | + | 0.240815i | \(0.0774148\pi\) | |||||||
\(98\) | −31997.2 | + | 23247.3i | −0.336548 | + | 0.244516i | ||||
\(99\) | 9023.10 | 0.0925268 | ||||||||
\(100\) | 15875.1 | + | 77964.9i | 0.158751 | + | 0.779649i | ||||
\(101\) | −74390.0 | −0.725623 | −0.362812 | − | 0.931862i | \(-0.618183\pi\) | ||||
−0.362812 | + | 0.931862i | \(0.618183\pi\) | |||||||
\(102\) | 14217.2 | − | 10329.4i | 0.135305 | − | 0.0983048i | ||||
\(103\) | −113.193 | + | 348.372i | −0.00105130 | + | 0.00323556i | −0.951581 | − | 0.307399i | \(-0.900541\pi\) |
0.950529 | + | 0.310634i | \(0.100541\pi\) | |||||||
\(104\) | −15650.5 | + | 48167.2i | −0.141888 | + | 0.436685i | ||||
\(105\) | −1221.15 | + | 21535.5i | −0.0108093 | + | 0.190626i | ||||
\(106\) | −20263.3 | − | 62364.1i | −0.175164 | − | 0.539101i | ||||
\(107\) | 171964. | 1.45204 | 0.726020 | − | 0.687674i | \(-0.241368\pi\) | ||||
0.726020 | + | 0.687674i | \(0.241368\pi\) | |||||||
\(108\) | −31088.1 | − | 95679.2i | −0.256469 | − | 0.789329i | ||||
\(109\) | 44099.4 | + | 32040.1i | 0.355522 | + | 0.258302i | 0.751182 | − | 0.660095i | \(-0.229484\pi\) |
−0.395660 | + | 0.918397i | \(0.629484\pi\) | |||||||
\(110\) | −553.458 | + | 9760.49i | −0.00436117 | + | 0.0769113i | ||||
\(111\) | 33423.6 | − | 24283.7i | 0.257481 | − | 0.187071i | ||||
\(112\) | 13003.6 | + | 9447.66i | 0.0979531 | + | 0.0711671i | ||||
\(113\) | 133956. | + | 97324.5i | 0.986881 | + | 0.717011i | 0.959236 | − | 0.282607i | \(-0.0911991\pi\) |
0.0276453 | + | 0.999618i | \(0.491199\pi\) | |||||||
\(114\) | −22763.3 | + | 16538.5i | −0.164049 | + | 0.119188i | ||||
\(115\) | −72350.8 | + | 88567.4i | −0.510151 | + | 0.624496i | ||||
\(116\) | −82655.7 | − | 60052.9i | −0.570332 | − | 0.414370i | ||||
\(117\) | 14053.0 | + | 43250.6i | 0.0949082 | + | 0.292098i | ||||
\(118\) | 24108.9 | 0.159394 | ||||||||
\(119\) | 7378.10 | + | 22707.5i | 0.0477614 | + | 0.146995i | ||||
\(120\) | 83710.0 | − | 22046.2i | 0.530670 | − | 0.139759i | ||||
\(121\) | −48322.3 | + | 148721.i | −0.300043 | + | 0.923438i | ||||
\(122\) | −24848.5 | + | 76475.8i | −0.151147 | + | 0.465184i | ||||
\(123\) | −124403. | + | 90384.0i | −0.741426 | + | 0.538678i | ||||
\(124\) | −242260. | −1.41490 | ||||||||
\(125\) | −125104. | + | 121929.i | −0.716135 | + | 0.697962i | ||||
\(126\) | −12353.5 | −0.0693209 | ||||||||
\(127\) | 56604.3 | − | 41125.4i | 0.311416 | − | 0.226257i | −0.421088 | − | 0.907020i | \(-0.638352\pi\) |
0.732504 | + | 0.680763i | \(0.238352\pi\) | |||||||
\(128\) | 56927.7 | − | 175206.i | 0.307114 | − | 0.945199i | ||||
\(129\) | −38980.1 | + | 119969.i | −0.206238 | + | 0.634736i | ||||
\(130\) | −47647.2 | + | 12548.5i | −0.247274 | + | 0.0651230i | ||||
\(131\) | 13001.0 | + | 40013.0i | 0.0661910 | + | 0.203715i | 0.978682 | − | 0.205382i | \(-0.0658437\pi\) |
−0.912491 | + | 0.409097i | \(0.865844\pi\) | |||||||
\(132\) | −18349.7 | −0.0916629 | ||||||||
\(133\) | −11813.1 | − | 36357.1i | −0.0579076 | − | 0.178221i | ||||
\(134\) | 9589.12 | + | 6966.90i | 0.0461335 | + | 0.0335180i | ||||
\(135\) | 139741. | − | 171063.i | 0.659918 | − | 0.807831i | ||||
\(136\) | 77518.7 | − | 56320.7i | 0.359385 | − | 0.261108i | ||||
\(137\) | −149324. | − | 108490.i | −0.679717 | − | 0.493844i | 0.193547 | − | 0.981091i | \(-0.438001\pi\) |
−0.873264 | + | 0.487248i | \(0.838001\pi\) | |||||||
\(138\) | 44602.6 | + | 32405.7i | 0.199371 | + | 0.144852i | ||||
\(139\) | 262783. | − | 190923.i | 1.15361 | − | 0.838150i | 0.164657 | − | 0.986351i | \(-0.447348\pi\) |
0.988957 | + | 0.148201i | \(0.0473482\pi\) | |||||||
\(140\) | −2950.26 | + | 52029.3i | −0.0127216 | + | 0.224351i | ||||
\(141\) | 196984. | + | 143117.i | 0.834415 | + | 0.606238i | ||||
\(142\) | −26047.6 | − | 80166.3i | −0.108404 | − | 0.333634i | ||||
\(143\) | 23571.6 | 0.0963937 | ||||||||
\(144\) | −17898.5 | − | 55085.8i | −0.0719299 | − | 0.221377i | ||||
\(145\) | 12699.5 | − | 223961.i | 0.0501609 | − | 0.884611i | ||||
\(146\) | −65417.5 | + | 201334.i | −0.253987 | + | 0.781692i | ||||
\(147\) | 50367.5 | − | 155015.i | 0.192246 | − | 0.591672i | ||||
\(148\) | 80750.5 | − | 58668.7i | 0.303034 | − | 0.220167i | ||||
\(149\) | −166778. | −0.615423 | −0.307712 | − | 0.951480i | \(-0.599563\pi\) | ||||
−0.307712 | + | 0.951480i | \(0.599563\pi\) | |||||||
\(150\) | 62099.5 | + | 56885.4i | 0.225351 | + | 0.206430i | ||||
\(151\) | 372768. | 1.33044 | 0.665222 | − | 0.746646i | \(-0.268337\pi\) | ||||
0.665222 | + | 0.746646i | \(0.268337\pi\) | |||||||
\(152\) | −124116. | + | 90175.4i | −0.435731 | + | 0.316577i | ||||
\(153\) | 26587.2 | − | 81826.9i | 0.0918213 | − | 0.282597i | ||||
\(154\) | −1978.68 | + | 6089.75i | −0.00672316 | + | 0.0206918i | ||||
\(155\) | −287784. | − | 447331.i | −0.962137 | − | 1.49555i | ||||
\(156\) | −28578.6 | − | 87956.0i | −0.0940221 | − | 0.289370i | ||||
\(157\) | −419831. | −1.35933 | −0.679665 | − | 0.733523i | \(-0.737875\pi\) | ||||
−0.679665 | + | 0.733523i | \(0.737875\pi\) | |||||||
\(158\) | −55363.4 | − | 170391.i | −0.176433 | − | 0.543006i | ||||
\(159\) | 218625. | + | 158840.i | 0.685815 | + | 0.498274i | ||||
\(160\) | 314870. | − | 82925.2i | 0.972369 | − | 0.256086i | ||||
\(161\) | −60599.1 | + | 44027.8i | −0.184247 | + | 0.133864i | ||||
\(162\) | −19818.0 | − | 14398.6i | −0.0593298 | − | 0.0431056i | ||||
\(163\) | 534072. | + | 388026.i | 1.57446 | + | 1.14391i | 0.922725 | + | 0.385460i | \(0.125957\pi\) |
0.651732 | + | 0.758450i | \(0.274043\pi\) | |||||||
\(164\) | −300554. | + | 218365.i | −0.872596 | + | 0.633978i | ||||
\(165\) | −21797.8 | − | 33882.6i | −0.0623309 | − | 0.0968873i | ||||
\(166\) | −37069.6 | − | 26932.7i | −0.104411 | − | 0.0758593i | ||||
\(167\) | −35339.7 | − | 108765.i | −0.0980555 | − | 0.301784i | 0.889982 | − | 0.455995i | \(-0.150716\pi\) |
−0.988038 | + | 0.154211i | \(0.950716\pi\) | |||||||
\(168\) | 56697.5 | 0.154985 | ||||||||
\(169\) | −78024.4 | − | 240134.i | −0.210142 | − | 0.646752i | ||||
\(170\) | 86883.2 | + | 33779.1i | 0.230576 | + | 0.0896448i | ||||
\(171\) | −42568.9 | + | 131014.i | −0.111327 | + | 0.342631i | ||||
\(172\) | −94175.0 | + | 289841.i | −0.242725 | + | 0.747031i | ||||
\(173\) | −417269. | + | 303164.i | −1.05999 | + | 0.770127i | −0.974086 | − | 0.226177i | \(-0.927377\pi\) |
−0.0859025 | + | 0.996304i | \(0.527377\pi\) | |||||||
\(174\) | −108140. | −0.270779 | ||||||||
\(175\) | −99576.4 | + | 56358.7i | −0.245788 | + | 0.139112i | ||||
\(176\) | −30021.7 | −0.0730556 | ||||||||
\(177\) | −80380.3 | + | 58399.7i | −0.192848 | + | 0.140113i | ||||
\(178\) | 111997. | − | 344692.i | 0.264946 | − | 0.815421i | ||||
\(179\) | −233010. | + | 717131.i | −0.543553 | + | 1.67288i | 0.180852 | + | 0.983510i | \(0.442115\pi\) |
−0.724405 | + | 0.689374i | \(0.757885\pi\) | |||||||
\(180\) | 118804. | − | 145433.i | 0.273307 | − | 0.334565i | ||||
\(181\) | 139104. | + | 428117.i | 0.315604 | + | 0.971329i | 0.975505 | + | 0.219976i | \(0.0705980\pi\) |
−0.659901 | + | 0.751352i | \(0.729402\pi\) | |||||||
\(182\) | −32271.8 | −0.0722179 | ||||||||
\(183\) | −102403. | − | 315165.i | −0.226041 | − | 0.695682i | ||||
\(184\) | 243194. | + | 176691.i | 0.529552 | + | 0.384742i | ||||
\(185\) | 204256. | + | 79412.1i | 0.438779 | + | 0.170591i | ||||
\(186\) | −207449. | + | 150721.i | −0.439673 | + | 0.319441i | ||||
\(187\) | −36078.6 | − | 26212.6i | −0.0754477 | − | 0.0548159i | ||||
\(188\) | 475907. | + | 345767.i | 0.982036 | + | 0.713491i | ||||
\(189\) | 117044. | − | 85037.1i | 0.238338 | − | 0.173162i | ||||
\(190\) | −139109. | − | 54083.9i | −0.279558 | − | 0.108689i | ||||
\(191\) | −273690. | − | 198847.i | −0.542844 | − | 0.394399i | 0.282296 | − | 0.959327i | \(-0.408904\pi\) |
−0.825140 | + | 0.564928i | \(0.808904\pi\) | |||||||
\(192\) | −2758.30 | − | 8489.18i | −0.00539994 | − | 0.0166193i | ||||
\(193\) | −64517.7 | −0.124677 | −0.0623384 | − | 0.998055i | \(-0.519856\pi\) | ||||
−0.0623384 | + | 0.998055i | \(0.519856\pi\) | |||||||
\(194\) | −10382.8 | − | 31955.1i | −0.0198067 | − | 0.0609587i | ||||
\(195\) | 128461. | − | 157254.i | 0.241928 | − | 0.296153i | ||||
\(196\) | 121687. | − | 374513.i | 0.226257 | − | 0.696348i | ||||
\(197\) | 142217. | − | 437699.i | 0.261088 | − | 0.803545i | −0.731481 | − | 0.681862i | \(-0.761171\pi\) |
0.992569 | − | 0.121684i | \(-0.0388293\pi\) | |||||||
\(198\) | 18667.2 | − | 13562.5i | 0.0338388 | − | 0.0245853i | ||||
\(199\) | −163868. | −0.293334 | −0.146667 | − | 0.989186i | \(-0.546855\pi\) | ||||
−0.146667 | + | 0.989186i | \(0.546855\pi\) | |||||||
\(200\) | 338595. | + | 310165.i | 0.598557 | + | 0.548300i | ||||
\(201\) | −48846.7 | −0.0852795 | ||||||||
\(202\) | −153899. | + | 111814.i | −0.265374 | + | 0.192806i | ||||
\(203\) | 45402.1 | − | 139733.i | 0.0773278 | − | 0.237990i | ||||
\(204\) | −54068.6 | + | 166406.i | −0.0909640 | + | 0.279958i | ||||
\(205\) | −760243. | − | 295572.i | −1.26348 | − | 0.491224i | ||||
\(206\) | 289.457 | + | 890.856i | 0.000475243 | + | 0.00146265i | ||||
\(207\) | 269921. | 0.437835 | ||||||||
\(208\) | −46757.2 | − | 143904.i | −0.0749359 | − | 0.230629i | ||||
\(209\) | 57765.7 | + | 41969.2i | 0.0914754 | + | 0.0664608i | ||||
\(210\) | 29843.4 | + | 46388.6i | 0.0466982 | + | 0.0725877i | ||||
\(211\) | 385771. | − | 280279.i | 0.596519 | − | 0.433396i | −0.248123 | − | 0.968729i | \(-0.579814\pi\) |
0.844641 | + | 0.535332i | \(0.179814\pi\) | |||||||
\(212\) | 528192. | + | 383754.i | 0.807146 | + | 0.586426i | ||||
\(213\) | 281033. | + | 204182.i | 0.424432 | + | 0.308368i | ||||
\(214\) | 355763. | − | 258477.i | 0.531038 | − | 0.385822i | ||||
\(215\) | −647061. | + | 170412.i | −0.954661 | + | 0.251423i | ||||
\(216\) | −469715. | − | 341268.i | −0.685014 | − | 0.497692i | ||||
\(217\) | −107657. | − | 331334.i | −0.155200 | − | 0.477658i | ||||
\(218\) | 139393. | 0.198655 | ||||||||
\(219\) | −269593. | − | 829721.i | −0.379837 | − | 1.16902i | ||||
\(220\) | −52663.0 | − | 81859.4i | −0.0733582 | − | 0.114028i | ||||
\(221\) | 69455.3 | − | 213761.i | 0.0956587 | − | 0.294407i | ||||
\(222\) | 32647.0 | − | 100477.i | 0.0444591 | − | 0.136831i | ||||
\(223\) | −890775. | + | 647186.i | −1.19952 | + | 0.871499i | −0.994237 | − | 0.107204i | \(-0.965810\pi\) |
−0.205279 | + | 0.978704i | \(0.565810\pi\) | |||||||
\(224\) | 213264. | 0.283986 | ||||||||
\(225\) | 409670. | + | 46609.6i | 0.539483 | + | 0.0613789i | ||||
\(226\) | 423417. | 0.551438 | ||||||||
\(227\) | 597766. | − | 434303.i | 0.769958 | − | 0.559407i | −0.131991 | − | 0.991251i | \(-0.542137\pi\) |
0.901948 | + | 0.431844i | \(0.142137\pi\) | |||||||
\(228\) | 86569.6 | − | 266434.i | 0.110288 | − | 0.339432i | ||||
\(229\) | 96421.0 | − | 296753.i | 0.121502 | − | 0.373944i | −0.871746 | − | 0.489959i | \(-0.837012\pi\) |
0.993248 | + | 0.116014i | \(0.0370119\pi\) | |||||||
\(230\) | −16556.4 | + | 291979.i | −0.0206370 | + | 0.363942i | ||||
\(231\) | −8154.35 | − | 25096.5i | −0.0100545 | − | 0.0309445i | ||||
\(232\) | −589631. | −0.719217 | ||||||||
\(233\) | −296252. | − | 911771.i | −0.357497 | − | 1.10026i | −0.954548 | − | 0.298059i | \(-0.903661\pi\) |
0.597051 | − | 0.802203i | \(-0.296339\pi\) | |||||||
\(234\) | 94082.4 | + | 68354.9i | 0.112323 | + | 0.0816075i | ||||
\(235\) | −73119.7 | + | 1.28950e6i | −0.0863704 | + | 1.52318i | ||||
\(236\) | −194197. | + | 141092.i | −0.226966 | + | 0.164901i | ||||
\(237\) | 597327. | + | 433984.i | 0.690783 | + | 0.501883i | ||||
\(238\) | 49395.2 | + | 35887.7i | 0.0565252 | + | 0.0410680i | ||||
\(239\) | 522163. | − | 379374.i | 0.591305 | − | 0.429608i | −0.251477 | − | 0.967863i | \(-0.580916\pi\) |
0.842782 | + | 0.538255i | \(0.180916\pi\) | |||||||
\(240\) | −163614. | + | 200286.i | −0.183354 | + | 0.224451i | ||||
\(241\) | 697030. | + | 506422.i | 0.773052 | + | 0.561655i | 0.902886 | − | 0.429881i | \(-0.141444\pi\) |
−0.129834 | + | 0.991536i | \(0.541444\pi\) | |||||||
\(242\) | 123570. | + | 380308.i | 0.135636 | + | 0.417443i | ||||
\(243\) | −859215. | −0.933439 | ||||||||
\(244\) | −247404. | − | 761431.i | −0.266031 | − | 0.818758i | ||||
\(245\) | 836089. | − | 220195.i | 0.889892 | − | 0.234365i | ||||
\(246\) | −121512. | + | 373976.i | −0.128021 | + | 0.394009i | ||||
\(247\) | −111205. | + | 342255.i | −0.115980 | + | 0.356950i | ||||
\(248\) | −1.13111e6 | + | 821798.i | −1.16782 | + | 0.848469i | ||||
\(249\) | 188832. | 0.193008 | ||||||||
\(250\) | −75547.0 | + | 440290.i | −0.0764482 | + | 0.445542i | ||||
\(251\) | −1.13775e6 | −1.13989 | −0.569946 | − | 0.821682i | \(-0.693036\pi\) | ||||
−0.569946 | + | 0.821682i | \(0.693036\pi\) | |||||||
\(252\) | 99507.1 | − | 72296.2i | 0.0987081 | − | 0.0717156i | ||||
\(253\) | 43233.5 | − | 133059.i | 0.0424639 | − | 0.130690i | ||||
\(254\) | 55289.0 | − | 170162.i | 0.0537718 | − | 0.165493i | ||||
\(255\) | −371497. | + | 97838.7i | −0.357770 | + | 0.0942237i | ||||
\(256\) | −153951. | − | 473813.i | −0.146819 | − | 0.451863i | ||||
\(257\) | 644978. | 0.609133 | 0.304567 | − | 0.952491i | \(-0.401488\pi\) | ||||
0.304567 | + | 0.952491i | \(0.401488\pi\) | |||||||
\(258\) | 99680.1 | + | 306784.i | 0.0932307 | + | 0.286935i | ||||
\(259\) | 116124. | + | 84369.3i | 0.107566 | + | 0.0781511i | ||||
\(260\) | 310359. | − | 379922.i | 0.284729 | − | 0.348547i | ||||
\(261\) | −428330. | + | 311200.i | −0.389204 | + | 0.282773i | ||||
\(262\) | 87039.7 | + | 63238.1i | 0.0783365 | + | 0.0569148i | ||||
\(263\) | −102809. | − | 74694.9i | −0.0916517 | − | 0.0665889i | 0.541016 | − | 0.841013i | \(-0.318040\pi\) |
−0.632667 | + | 0.774424i | \(0.718040\pi\) | |||||||
\(264\) | −85674.4 | + | 62246.1i | −0.0756557 | + | 0.0549671i | ||||
\(265\) | −81153.0 | + | 1.43117e6i | −0.0709888 | + | 1.25192i | ||||
\(266\) | −79087.0 | − | 57460.0i | −0.0685332 | − | 0.0497923i | ||||
\(267\) | 461553. | + | 1.42051e6i | 0.396227 | + | 1.21946i | ||||
\(268\) | −118012. | −0.100367 | ||||||||
\(269\) | −10060.0 | − | 30961.5i | −0.00847651 | − | 0.0260880i | 0.946729 | − | 0.322032i | \(-0.104366\pi\) |
−0.955205 | + | 0.295944i | \(0.904366\pi\) | |||||||
\(270\) | 31977.6 | − | 563940.i | 0.0266954 | − | 0.470786i | ||||
\(271\) | 492423. | − | 1.51552e6i | 0.407300 | − | 1.25354i | −0.511658 | − | 0.859189i | \(-0.670969\pi\) |
0.918959 | − | 0.394353i | \(-0.129031\pi\) | |||||||
\(272\) | −88461.0 | + | 272255.i | −0.0724986 | + | 0.223128i | ||||
\(273\) | 107596. | − | 78172.9i | 0.0873752 | − | 0.0634818i | ||||
\(274\) | −471994. | −0.379805 | ||||||||
\(275\) | 88593.9 | − | 194484.i | 0.0706434 | − | 0.155079i | ||||
\(276\) | −548920. | −0.433747 | ||||||||
\(277\) | −208710. | + | 151637.i | −0.163435 | + | 0.118742i | −0.666496 | − | 0.745508i | \(-0.732207\pi\) |
0.503062 | + | 0.864251i | \(0.332207\pi\) | |||||||
\(278\) | 256677. | − | 789971.i | 0.199193 | − | 0.613055i | ||||
\(279\) | −387944. | + | 1.19397e6i | −0.298373 | + | 0.918297i | ||||
\(280\) | 162720. | + | 252932.i | 0.124035 | + | 0.192801i | ||||
\(281\) | −276643. | − | 851419.i | −0.209003 | − | 0.643246i | −0.999525 | − | 0.0308124i | \(-0.990191\pi\) |
0.790522 | − | 0.612434i | \(-0.209809\pi\) | |||||||
\(282\) | 622640. | 0.466245 | ||||||||
\(283\) | 375531. | + | 1.15577e6i | 0.278728 | + | 0.857835i | 0.988209 | + | 0.153111i | \(0.0489293\pi\) |
−0.709481 | + | 0.704724i | \(0.751071\pi\) | |||||||
\(284\) | 678967. | + | 493299.i | 0.499520 | + | 0.362923i | ||||
\(285\) | 594806. | − | 156650.i | 0.433773 | − | 0.114240i | ||||
\(286\) | 48765.3 | − | 35430.1i | 0.0352530 | − | 0.0256128i | ||||
\(287\) | −432216. | − | 314023.i | −0.309739 | − | 0.225039i | ||||
\(288\) | −621731. | − | 451714.i | −0.441694 | − | 0.320909i | ||||
\(289\) | 804668. | − | 584626.i | 0.566725 | − | 0.411750i | ||||
\(290\) | −310359. | − | 482423.i | −0.216705 | − | 0.336847i | ||||
\(291\) | 112023. | + | 81389.2i | 0.0775485 | + | 0.0563423i | ||||
\(292\) | −651328. | − | 2.00458e6i | −0.447036 | − | 1.37584i | ||||
\(293\) | 817366. | 0.556221 | 0.278111 | − | 0.960549i | \(-0.410292\pi\) | ||||
0.278111 | + | 0.960549i | \(0.410292\pi\) | |||||||
\(294\) | −128800. | − | 396405.i | −0.0869054 | − | 0.267467i | ||||
\(295\) | −491214. | − | 190978.i | −0.328637 | − | 0.127770i | ||||
\(296\) | 178006. | − | 547847.i | 0.118088 | − | 0.363438i | ||||
\(297\) | −83503.0 | + | 256996.i | −0.0549302 | + | 0.169058i | ||||
\(298\) | −345034. | + | 250682.i | −0.225072 | + | 0.163524i | ||||
\(299\) | 705130. | 0.456133 | ||||||||
\(300\) | −833118. | − | 94787.0i | −0.534446 | − | 0.0608059i | ||||
\(301\) | −438260. | −0.278814 | ||||||||
\(302\) | 771190. | − | 560302.i | 0.486568 | − | 0.353513i | ||||
\(303\) | 242257. | − | 745589.i | 0.151590 | − | 0.466545i | ||||
\(304\) | 141636. | − | 435909.i | 0.0878999 | − | 0.270528i | ||||
\(305\) | 1.11208e6 | − | 1.36134e6i | 0.684522 | − | 0.837950i | ||||
\(306\) | −67988.7 | − | 209248.i | −0.0415081 | − | 0.127749i | ||||
\(307\) | −866121. | −0.524484 | −0.262242 | − | 0.965002i | \(-0.584462\pi\) | ||||
−0.262242 | + | 0.965002i | \(0.584462\pi\) | |||||||
\(308\) | −19700.7 | − | 60632.5i | −0.0118333 | − | 0.0364190i | ||||
\(309\) | −3123.01 | − | 2269.00i | −0.00186070 | − | 0.00135188i | ||||
\(310\) | −1.26775e6 | − | 492884.i | −0.749254 | − | 0.291300i | ||||
\(311\) | 17666.7 | − | 12835.6i | 0.0103575 | − | 0.00752516i | −0.582594 | − | 0.812763i | \(-0.697962\pi\) |
0.592952 | + | 0.805238i | \(0.297962\pi\) | |||||||
\(312\) | −431799. | − | 313720.i | −0.251128 | − | 0.182455i | ||||
\(313\) | 1.48736e6 | + | 1.08063e6i | 0.858132 | + | 0.623469i | 0.927376 | − | 0.374131i | \(-0.122059\pi\) |
−0.0692443 | + | 0.997600i | \(0.522059\pi\) | |||||||
\(314\) | −868553. | + | 631041.i | −0.497133 | + | 0.361188i | ||||
\(315\) | 251700. | + | 97857.8i | 0.142925 | + | 0.0555672i | ||||
\(316\) | 1.44313e6 | + | 1.04849e6i | 0.812993 | + | 0.590674i | ||||
\(317\) | −171489. | − | 527788.i | −0.0958489 | − | 0.294993i | 0.891625 | − | 0.452774i | \(-0.149566\pi\) |
−0.987474 | + | 0.157782i | \(0.949566\pi\) | |||||||
\(318\) | 691046. | 0.383212 | ||||||||
\(319\) | 84801.9 | + | 260993.i | 0.0466583 | + | 0.143599i | ||||
\(320\) | 29954.7 | − | 36668.7i | 0.0163527 | − | 0.0200180i | ||||
\(321\) | −560014. | + | 1.72355e6i | −0.303345 | + | 0.933599i | ||||
\(322\) | −59191.0 | + | 182171.i | −0.0318138 | + | 0.0979129i | ||||
\(323\) | 550813. | − | 400189.i | 0.293764 | − | 0.213432i | ||||
\(324\) | 243898. | 0.129076 | ||||||||
\(325\) | 1.07020e6 | + | 121761.i | 0.562029 | + | 0.0639441i | ||||
\(326\) | 1.68813e6 | 0.879757 | ||||||||
\(327\) | −464742. | + | 337655.i | −0.240349 | + | 0.174624i | ||||
\(328\) | −662541. | + | 2.03909e6i | −0.340038 | + | 1.04653i | ||||
\(329\) | −261412. | + | 804542.i | −0.133148 | + | 0.409788i | ||||
\(330\) | −96024.2 | − | 37332.9i | −0.0485395 | − | 0.0188715i | ||||
\(331\) | 19336.7 | + | 59512.2i | 0.00970089 | + | 0.0298563i | 0.955790 | − | 0.294051i | \(-0.0950035\pi\) |
−0.946089 | + | 0.323907i | \(0.895003\pi\) | |||||||
\(332\) | 456212. | 0.227154 | ||||||||
\(333\) | −159836. | − | 491926.i | −0.0789888 | − | 0.243102i | ||||
\(334\) | −236594. | − | 171895.i | −0.116048 | − | 0.0843137i | ||||
\(335\) | −140188. | − | 217909.i | −0.0682496 | − | 0.106087i | ||||
\(336\) | −137038. | + | 99564.1i | −0.0662207 | + | 0.0481121i | ||||
\(337\) | −3.02101e6 | − | 2.19489e6i | −1.44903 | − | 1.05278i | −0.986056 | − | 0.166412i | \(-0.946782\pi\) |
−0.462975 | − | 0.886371i | \(-0.653218\pi\) | |||||||
\(338\) | −522361. | − | 379517.i | −0.248702 | − | 0.180692i | ||||
\(339\) | −1.41169e6 | + | 1.02565e6i | −0.667176 | + | 0.484732i | ||||
\(340\) | −897526. | + | 236376.i | −0.421065 | + | 0.110893i | ||||
\(341\) | 526438. | + | 382480.i | 0.245167 | + | 0.178124i | ||||
\(342\) | 108857. | + | 335028.i | 0.0503259 | + | 0.154887i | ||||
\(343\) | 1.18166e6 | 0.542324 | ||||||||
\(344\) | 543501. | + | 1.67273e6i | 0.247631 | + | 0.762129i | ||||
\(345\) | −652070. | − | 1.01358e6i | −0.294949 | − | 0.458468i | ||||
\(346\) | −407574. | + | 1.25438e6i | −0.183027 | + | 0.563300i | ||||
\(347\) | −842804. | + | 2.59388e6i | −0.375753 | + | 1.15645i | 0.567216 | + | 0.823569i | \(0.308021\pi\) |
−0.942969 | + | 0.332881i | \(0.891979\pi\) | |||||||
\(348\) | 871067. | − | 632867.i | 0.385570 | − | 0.280133i | ||||
\(349\) | −2.60418e6 | −1.14448 | −0.572239 | − | 0.820087i | \(-0.693925\pi\) | ||||
−0.572239 | + | 0.820087i | \(0.693925\pi\) | |||||||
\(350\) | −121294. | + | 266268.i | −0.0529259 | + | 0.116185i | ||||
\(351\) | −1.36192e6 | −0.590041 | ||||||||
\(352\) | −322259. | + | 234135.i | −0.138627 | + | 0.100718i | ||||
\(353\) | 390212. | − | 1.20095e6i | 0.166673 | − | 0.512966i | −0.832483 | − | 0.554051i | \(-0.813081\pi\) |
0.999156 | + | 0.0410849i | \(0.0130814\pi\) | |||||||
\(354\) | −78512.5 | + | 241637.i | −0.0332990 | + | 0.102484i | ||||
\(355\) | −104319. | + | 1.83971e6i | −0.0439330 | + | 0.774779i | ||||
\(356\) | 1.11510e6 | + | 3.43193e6i | 0.466325 | + | 1.43520i | ||||
\(357\) | −251618. | −0.104489 | ||||||||
\(358\) | 595853. | + | 1.83385e6i | 0.245715 | + | 0.756233i | ||||
\(359\) | −1.70254e6 | − | 1.23697e6i | −0.697207 | − | 0.506551i | 0.181814 | − | 0.983333i | \(-0.441803\pi\) |
−0.879022 | + | 0.476782i | \(0.841803\pi\) | |||||||
\(360\) | 61355.5 | − | 1.08203e6i | 0.0249515 | − | 0.440032i | ||||
\(361\) | 1.12130e6 | − | 814669.i | 0.452848 | − | 0.329013i | ||||
\(362\) | 931277. | + | 676612.i | 0.373514 | + | 0.271374i | ||||
\(363\) | −1.33322e6 | − | 968640.i | −0.531049 | − | 0.385830i | ||||
\(364\) | 259948. | − | 188864.i | 0.102833 | − | 0.0747127i | ||||
\(365\) | 2.92773e6 | − | 3.58395e6i | 1.15027 | − | 1.40809i | ||||
\(366\) | −685574. | − | 498099.i | −0.267517 | − | 0.194363i | ||||
\(367\) | 337946. | + | 1.04009e6i | 0.130973 | + | 0.403094i | 0.994942 | − | 0.100452i | \(-0.0320288\pi\) |
−0.863969 | + | 0.503545i | \(0.832029\pi\) | |||||||
\(368\) | −898082. | −0.345698 | ||||||||
\(369\) | 594913. | + | 1.83095e6i | 0.227451 | + | 0.700022i | ||||
\(370\) | 541932. | − | 142725.i | 0.205798 | − | 0.0541996i | ||||
\(371\) | −290131. | + | 892933.i | −0.109436 | + | 0.336809i | ||||
\(372\) | 788937. | − | 2.42810e6i | 0.295587 | − | 0.909723i | ||||
\(373\) | 3.88192e6 | − | 2.82038e6i | 1.44469 | − | 1.04963i | 0.457653 | − | 0.889131i | \(-0.348690\pi\) |
0.987036 | − | 0.160497i | \(-0.0513098\pi\) | |||||||
\(374\) | −114040. | −0.0421578 | ||||||||
\(375\) | −814649. | − | 1.65095e6i | −0.299152 | − | 0.606255i | ||||
\(376\) | 3.39492e6 | 1.23840 | ||||||||
\(377\) | −1.11895e6 | + | 812966.i | −0.405469 | + | 0.294591i | ||||
\(378\) | 114324. | − | 351853.i | 0.0411535 | − | 0.126658i | ||||
\(379\) | 850866. | − | 2.61870e6i | 0.304273 | − | 0.936456i | −0.675675 | − | 0.737200i | \(-0.736148\pi\) |
0.979948 | − | 0.199256i | \(-0.0638524\pi\) | |||||||
\(380\) | 1.43703e6 | − | 378462.i | 0.510515 | − | 0.134451i | ||||
\(381\) | 227852. | + | 701257.i | 0.0804157 | + | 0.247494i | ||||
\(382\) | −865098. | −0.303324 | ||||||||
\(383\) | −1.40573e6 | − | 4.32640e6i | −0.489672 | − | 1.50706i | −0.825098 | − | 0.564990i | \(-0.808880\pi\) |
0.335425 | − | 0.942067i | \(-0.391120\pi\) | |||||||
\(384\) | 1.57064e6 | + | 1.14114e6i | 0.543563 | + | 0.394922i | ||||
\(385\) | 88554.8 | − | 108403.i | 0.0304481 | − | 0.0372727i | ||||
\(386\) | −133475. | + | 96975.6i | −0.0455967 | + | 0.0331279i | ||||
\(387\) | 1.27766e6 | + | 928277.i | 0.433650 | + | 0.315065i | ||||
\(388\) | 270644. | + | 196634.i | 0.0912680 | + | 0.0663101i | ||||
\(389\) | −2.13441e6 | + | 1.55074e6i | −0.715161 | + | 0.519595i | −0.884835 | − | 0.465905i | \(-0.845729\pi\) |
0.169673 | + | 0.985500i | \(0.445729\pi\) | |||||||
\(390\) | 29396.4 | − | 518419.i | 0.00978662 | − | 0.172592i | ||||
\(391\) | −1.07927e6 | − | 784136.i | −0.357017 | − | 0.259388i | ||||
\(392\) | −702276. | − | 2.16138e6i | −0.230830 | − | 0.710422i | ||||
\(393\) | −443378. | −0.144808 | ||||||||
\(394\) | −363678. | − | 1.11928e6i | −0.118026 | − | 0.363245i | ||||
\(395\) | −221726. | + | 3.91024e6i | −0.0715030 | + | 1.26099i | ||||
\(396\) | −70991.9 | + | 218491.i | −0.0227494 | + | 0.0700156i | ||||
\(397\) | 933372. | − | 2.87262e6i | 0.297220 | − | 0.914750i | −0.685246 | − | 0.728311i | \(-0.740305\pi\) |
0.982467 | − | 0.186439i | \(-0.0596945\pi\) | |||||||
\(398\) | −339014. | + | 246308.i | −0.107278 | + | 0.0779419i | ||||
\(399\) | 402867. | 0.126686 | ||||||||
\(400\) | −1.36306e6 | − | 155080.i | −0.425955 | − | 0.0484625i | ||||
\(401\) | −1.93074e6 | −0.599603 | −0.299801 | − | 0.954002i | \(-0.596920\pi\) | ||||
−0.299801 | + | 0.954002i | \(0.596920\pi\) | |||||||
\(402\) | −101055. | + | 73420.7i | −0.0311883 | + | 0.0226597i | ||||
\(403\) | −1.01345e6 | + | 3.11908e6i | −0.310842 | + | 0.956674i | ||||
\(404\) | 585286. | − | 1.80132e6i | 0.178408 | − | 0.549083i | ||||
\(405\) | 289730. | + | 450357.i | 0.0877720 | + | 0.136433i | ||||
\(406\) | −116102. | − | 357326.i | −0.0349563 | − | 0.107584i | ||||
\(407\) | −268099. | −0.0802250 | ||||||||
\(408\) | 312040. | + | 960360.i | 0.0928025 | + | 0.285617i | ||||
\(409\) | −3.82751e6 | − | 2.78085e6i | −1.13138 | − | 0.821994i | −0.145483 | − | 0.989361i | \(-0.546474\pi\) |
−0.985895 | + | 0.167367i | \(0.946474\pi\) | |||||||
\(410\) | −2.01708e6 | + | 531224.i | −0.592601 | + | 0.156069i | ||||
\(411\) | 1.57365e6 | − | 1.14332e6i | 0.459520 | − | 0.333860i | ||||
\(412\) | −7545.10 | − | 5481.83i | −0.00218989 | − | 0.00159105i | ||||
\(413\) | −279267. | − | 202899.i | −0.0805647 | − | 0.0585337i | ||||
\(414\) | 558417. | − | 405714.i | 0.160124 | − | 0.116337i | ||||
\(415\) | 541940. | + | 842393.i | 0.154465 | + | 0.240101i | ||||
\(416\) | −1.62418e6 | − | 1.18004e6i | −0.460153 | − | 0.334320i | ||||
\(417\) | 1.05779e6 | + | 3.25556e6i | 0.297893 | + | 0.916822i | ||||
\(418\) | 182590. | 0.0511136 | ||||||||
\(419\) | 1.68036e6 | + | 5.17160e6i | 0.467591 | + | 1.43910i | 0.855694 | + | 0.517482i | \(0.173130\pi\) |
−0.388103 | + | 0.921616i | \(0.626870\pi\) | |||||||
\(420\) | −511867. | − | 199007.i | −0.141590 | − | 0.0550484i | ||||
\(421\) | 632686. | − | 1.94721e6i | 0.173973 | − | 0.535435i | −0.825612 | − | 0.564239i | \(-0.809170\pi\) |
0.999585 | + | 0.0288037i | \(0.00916976\pi\) | |||||||
\(422\) | 376808. | − | 1.15969e6i | 0.103000 | − | 0.317002i | ||||
\(423\) | 2.46620e6 | − | 1.79180e6i | 0.670158 | − | 0.486898i | ||||
\(424\) | 3.76790e6 | 1.01785 | ||||||||
\(425\) | −1.50265e6 | − | 1.37648e6i | −0.403539 | − | 0.369657i | ||||
\(426\) | 888309. | 0.237159 | ||||||||
\(427\) | 931451. | − | 676739.i | 0.247224 | − | 0.179619i | ||||
\(428\) | −1.35298e6 | + | 4.16404e6i | −0.357011 | + | 1.09877i | ||||
\(429\) | −76762.6 | + | 236251.i | −0.0201375 | + | 0.0619770i | ||||
\(430\) | −1.08251e6 | + | 1.32514e6i | −0.282332 | + | 0.345613i | ||||
\(431\) | −1.11591e6 | − | 3.43443e6i | −0.289359 | − | 0.890556i | −0.985058 | − | 0.172222i | \(-0.944905\pi\) |
0.695699 | − | 0.718333i | \(-0.255095\pi\) | |||||||
\(432\) | 1.73459e6 | 0.447185 | ||||||||
\(433\) | 2.34373e6 | + | 7.21324e6i | 0.600741 | + | 1.84889i | 0.523777 | + | 0.851855i | \(0.324522\pi\) |
0.0769633 | + | 0.997034i | \(0.475478\pi\) | |||||||
\(434\) | −720746. | − | 523652.i | −0.183678 | − | 0.133450i | ||||
\(435\) | 2.20334e6 | + | 856629.i | 0.558288 | + | 0.217055i | ||||
\(436\) | −1.12280e6 | + | 815764.i | −0.282870 | + | 0.205517i | ||||
\(437\) | 1.72803e6 | + | 1.25549e6i | 0.432859 | + | 0.314491i | ||||
\(438\) | −1.80488e6 | − | 1.31132e6i | −0.449534 | − | 0.326606i | ||||
\(439\) | 2.93203e6 | − | 2.13024e6i | 0.726117 | − | 0.527555i | −0.162215 | − | 0.986755i | \(-0.551864\pi\) |
0.888333 | + | 0.459200i | \(0.151864\pi\) | |||||||
\(440\) | −523568. | − | 203556.i | −0.128926 | − | 0.0501248i | ||||
\(441\) | −1.65091e6 | − | 1.19946e6i | −0.404229 | − | 0.293689i | ||||
\(442\) | −177611. | − | 546630.i | −0.0432428 | − | 0.133088i | ||||
\(443\) | −3.27443e6 | −0.792733 | −0.396366 | − | 0.918092i | \(-0.629729\pi\) | ||||
−0.396366 | + | 0.918092i | \(0.629729\pi\) | |||||||
\(444\) | 325049. | + | 1.00040e6i | 0.0782513 | + | 0.240833i | ||||
\(445\) | −5.01239e6 | + | 6.13586e6i | −1.19990 | + | 1.46884i | ||||
\(446\) | −870077. | + | 2.67782e6i | −0.207119 | + | 0.637447i | ||||
\(447\) | 543126. | − | 1.67157e6i | 0.128568 | − | 0.395691i | ||||
\(448\) | 25089.2 | − | 18228.4i | 0.00590598 | − | 0.00429095i | ||||
\(449\) | 401835. | 0.0940658 | 0.0470329 | − | 0.998893i | \(-0.485023\pi\) | ||||
0.0470329 | + | 0.998893i | \(0.485023\pi\) | |||||||
\(450\) | 917590. | − | 519341.i | 0.213608 | − | 0.120899i | ||||
\(451\) | 997869. | 0.231011 | ||||||||
\(452\) | −3.41061e6 | + | 2.47795e6i | −0.785210 | + | 0.570488i | ||||
\(453\) | −1.21395e6 | + | 3.73615e6i | −0.277942 | + | 0.855418i | ||||
\(454\) | 583877. | − | 1.79699e6i | 0.132948 | − | 0.409171i | ||||
\(455\) | 657532. | + | 255640.i | 0.148898 | + | 0.0578895i | ||||
\(456\) | −499609. | − | 1.53764e6i | −0.112517 | − | 0.346292i | ||||
\(457\) | −636279. | −0.142514 | −0.0712569 | − | 0.997458i | \(-0.522701\pi\) | ||||
−0.0712569 | + | 0.997458i | \(0.522701\pi\) | |||||||
\(458\) | −246568. | − | 758858.i | −0.0549253 | − | 0.169043i | ||||
\(459\) | 2.08455e6 | + | 1.51451e6i | 0.461827 | + | 0.335537i | ||||
\(460\) | −1.57538e6 | − | 2.44878e6i | −0.347129 | − | 0.539578i | ||||
\(461\) | −1.85443e6 | + | 1.34732e6i | −0.406405 | + | 0.295270i | −0.772145 | − | 0.635447i | \(-0.780816\pi\) |
0.365740 | + | 0.930717i | \(0.380816\pi\) | |||||||
\(462\) | −54592.0 | − | 39663.4i | −0.0118994 | − | 0.00864540i | ||||
\(463\) | −6.56644e6 | − | 4.77080e6i | −1.42356 | − | 1.03428i | −0.991170 | − | 0.132596i | \(-0.957669\pi\) |
−0.432395 | − | 0.901684i | \(-0.642331\pi\) | |||||||
\(464\) | 1.42514e6 | − | 1.03543e6i | 0.307301 | − | 0.223267i | ||||
\(465\) | 5.42066e6 | − | 1.42760e6i | 1.16257 | − | 0.306179i | ||||
\(466\) | −1.98336e6 | − | 1.44100e6i | −0.423094 | − | 0.307396i | ||||
\(467\) | 2.04222e6 | + | 6.28532e6i | 0.433323 | + | 1.33363i | 0.894796 | + | 0.446476i | \(0.147321\pi\) |
−0.461473 | + | 0.887154i | \(0.652679\pi\) | |||||||
\(468\) | −1.15786e6 | −0.244367 | ||||||||
\(469\) | −52443.0 | − | 161403.i | −0.0110092 | − | 0.0338828i | ||||
\(470\) | 1.78696e6 | + | 2.77765e6i | 0.373138 | + | 0.580006i | ||||
\(471\) | 1.36721e6 | − | 4.20784e6i | 0.283977 | − | 0.873991i | ||||
\(472\) | −428086. | + | 1.31751e6i | −0.0884456 | + | 0.272208i | ||||
\(473\) | 662246. | − | 481150.i | 0.136103 | − | 0.0988843i | ||||
\(474\) | 1.88808e6 | 0.385988 | ||||||||
\(475\) | 2.40590e6 | + | 2.20390e6i | 0.489265 | + | 0.448185i | ||||
\(476\) | −607901. | −0.122975 | ||||||||
\(477\) | 2.73714e6 | − | 1.98865e6i | 0.550810 | − | 0.400187i | ||||
\(478\) | 510030. | − | 1.56971e6i | 0.102100 | − | 0.314232i | ||||
\(479\) | 2.42400e6 | − | 7.46030e6i | 0.482718 | − | 1.48565i | −0.352541 | − | 0.935796i | \(-0.614682\pi\) |
0.835259 | − | 0.549856i | \(-0.185318\pi\) | |||||||
\(480\) | −194262. | + | 3.42590e6i | −0.0384844 | + | 0.678690i | ||||
\(481\) | −417550. | − | 1.28509e6i | −0.0822898 | − | 0.253262i | ||||
\(482\) | 2.20322e6 | 0.431957 | ||||||||
\(483\) | −243932. | − | 750747.i | −0.0475775 | − | 0.146429i | ||||
\(484\) | −3.22102e6 | − | 2.34021e6i | −0.625000 | − | 0.454089i | ||||
\(485\) | −41582.5 | + | 733326.i | −0.00802705 | + | 0.141561i | ||||
\(486\) | −1.77756e6 | + | 1.29147e6i | −0.341376 | + | 0.248024i | ||||
\(487\) | 1.71970e6 | + | 1.24944e6i | 0.328573 | + | 0.238722i | 0.739825 | − | 0.672800i | \(-0.234908\pi\) |
−0.411252 | + | 0.911522i | \(0.634908\pi\) | |||||||
\(488\) | −3.73806e6 | − | 2.71586e6i | −0.710554 | − | 0.516248i | ||||
\(489\) | −5.62831e6 | + | 4.08921e6i | −1.06440 | + | 0.773334i | ||||
\(490\) | 1.39874e6 | − | 1.71226e6i | 0.263177 | − | 0.322165i | ||||
\(491\) | −22796.5 | − | 16562.6i | −0.00426740 | − | 0.00310045i | 0.585650 | − | 0.810564i | \(-0.300840\pi\) |
−0.589917 | + | 0.807464i | \(0.700840\pi\) | |||||||
\(492\) | −1.20984e6 | − | 3.72349e6i | −0.225327 | − | 0.693486i | ||||
\(493\) | 2.61672e6 | 0.484887 | ||||||||
\(494\) | 284374. | + | 875214.i | 0.0524291 | + | 0.161360i | ||||
\(495\) | −487774. | + | 128462.i | −0.0894758 | + | 0.0235647i | ||||
\(496\) | 1.29077e6 | − | 3.97259e6i | 0.235584 | − | 0.725052i | ||||
\(497\) | −372951. | + | 1.14783e6i | −0.0677269 | + | 0.208442i | ||||
\(498\) | 390658. | − | 283830.i | 0.0705868 | − | 0.0512843i | ||||
\(499\) | 4.96491e6 | 0.892607 | 0.446304 | − | 0.894882i | \(-0.352740\pi\) | ||||
0.446304 | + | 0.894882i | \(0.352740\pi\) | |||||||
\(500\) | −1.96817e6 | − | 3.98864e6i | −0.352077 | − | 0.713510i | ||||
\(501\) | 1.20520e6 | 0.214519 | ||||||||
\(502\) | −2.35381e6 | + | 1.71014e6i | −0.416880 | + | 0.302881i | ||||
\(503\) | −769719. | + | 2.36895e6i | −0.135648 | + | 0.417481i | −0.995690 | − | 0.0927417i | \(-0.970437\pi\) |
0.860042 | + | 0.510222i | \(0.170437\pi\) | |||||||
\(504\) | 219353. | − | 675100.i | 0.0384652 | − | 0.118384i | ||||
\(505\) | 4.02140e6 | − | 1.05909e6i | 0.701696 | − | 0.184801i | ||||
\(506\) | −110557. | − | 340259.i | −0.0191959 | − | 0.0590790i | ||||
\(507\) | 2.66089e6 | 0.459734 | ||||||||
\(508\) | 550485. | + | 1.69422e6i | 0.0946424 | + | 0.291279i | ||||
\(509\) | −3.16984e6 | − | 2.30302e6i | −0.542304 | − | 0.394007i | 0.282636 | − | 0.959227i | \(-0.408791\pi\) |
−0.824940 | + | 0.565220i | \(0.808791\pi\) | |||||||
\(510\) | −621499. | + | 760801.i | −0.105807 | + | 0.129523i | ||||
\(511\) | 2.45219e6 | − | 1.78162e6i | 0.415433 | − | 0.301830i | ||||
\(512\) | 3.73856e6 | + | 2.71622e6i | 0.630275 | + | 0.457921i | ||||
\(513\) | −3.33758e6 | − | 2.42489e6i | −0.559936 | − | 0.406817i | ||||
\(514\) | 1.33434e6 | − | 969457.i | 0.222771 | − | 0.161853i | ||||
\(515\) | 1159.25 | − | 20443.9i | 0.000192601 | − | 0.00339661i | ||||
\(516\) | −2.59830e6 | − | 1.88778e6i | −0.429601 | − | 0.312123i | ||||
\(517\) | −488264. | − | 1.50272e6i | −0.0803394 | − | 0.247259i | ||||
\(518\) | 367055. | 0.0601044 | ||||||||
\(519\) | −1.67965e6 | − | 5.16945e6i | −0.273717 | − | 0.842414i | ||||
\(520\) | 160283. | − | 2.82666e6i | 0.0259943 | − | 0.458422i | ||||
\(521\) | −2.05817e6 | + | 6.33440e6i | −0.332190 | + | 1.02238i | 0.635899 | + | 0.771772i | \(0.280629\pi\) |
−0.968089 | + | 0.250605i | \(0.919371\pi\) | |||||||
\(522\) | −418377. | + | 1.28763e6i | −0.0672035 | + | 0.206831i | ||||
\(523\) | 4.36917e6 | − | 3.17438e6i | 0.698464 | − | 0.507464i | −0.180967 | − | 0.983489i | \(-0.557923\pi\) |
0.879432 | + | 0.476025i | \(0.157923\pi\) | |||||||
\(524\) | −1.07119e6 | −0.170427 | ||||||||
\(525\) | −240588. | − | 1.18156e6i | −0.0380957 | − | 0.187093i | ||||
\(526\) | −324965. | −0.0512121 | ||||||||
\(527\) | 5.01974e6 | − | 3.64706e6i | 0.787326 | − | 0.572026i | ||||
\(528\) | 97768.0 | − | 300899.i | 0.0152620 | − | 0.0469716i | ||||
\(529\) | −695633. | + | 2.14094e6i | −0.108079 | + | 0.332633i | ||||
\(530\) | 1.98328e6 | + | 3.08281e6i | 0.306686 | + | 0.476713i | ||||
\(531\) | 384390. | + | 1.18303e6i | 0.0591610 | + | 0.182079i | ||||
\(532\) | 973315. | 0.149099 | ||||||||
\(533\) | 1.55413e6 | + | 4.78311e6i | 0.236956 | + | 0.729276i | ||||
\(534\) | 3.09002e6 | + | 2.24503e6i | 0.468931 | + | 0.340698i | ||||
\(535\) | −9.29610e6 | + | 2.44825e6i | −1.40416 | + | 0.369804i | ||||
\(536\) | −550998. | + | 400323.i | −0.0828396 | + | 0.0601865i | ||||
\(537\) | −6.42878e6 | − | 4.67078e6i | −0.962040 | − | 0.698963i | ||||
\(538\) | −67350.0 | − | 48932.6i | −0.0100319 | − | 0.00728858i | ||||
\(539\) | −855709. | + | 621709.i | −0.126869 | + | 0.0921754i | ||||
\(540\) | 3.04276e6 | + | 4.72966e6i | 0.449038 | + | 0.697985i | ||||
\(541\) | 9.74139e6 | + | 7.07753e6i | 1.43096 | + | 1.03965i | 0.989837 | + | 0.142207i | \(0.0454199\pi\) |
0.441123 | + | 0.897447i | \(0.354580\pi\) | |||||||
\(542\) | −1.25922e6 | − | 3.87549e6i | −0.184122 | − | 0.566668i | ||||
\(543\) | −4.74389e6 | −0.690455 | ||||||||
\(544\) | 1.17372e6 | + | 3.61233e6i | 0.170046 | + | 0.523348i | ||||
\(545\) | −2.84010e6 | − | 1.10419e6i | −0.409583 | − | 0.159240i | ||||
\(546\) | 105096. | − | 323451.i | 0.0150870 | − | 0.0464330i | ||||
\(547\) | −1.40825e6 | + | 4.33414e6i | −0.201238 | + | 0.619347i | 0.798609 | + | 0.601850i | \(0.205570\pi\) |
−0.999847 | + | 0.0174968i | \(0.994430\pi\) | |||||||
\(548\) | 3.80190e6 | − | 2.76224e6i | 0.540816 | − | 0.392925i | ||||
\(549\) | −4.14887e6 | −0.587488 | ||||||||
\(550\) | −109041. | − | 535516.i | −0.0153703 | − | 0.0754859i | ||||
\(551\) | −4.18965e6 | −0.587894 | ||||||||
\(552\) | −2.56290e6 | + | 1.86206e6i | −0.358001 | + | 0.260103i | ||||
\(553\) | −792697. | + | 2.43967e6i | −0.110229 | + | 0.339249i | ||||
\(554\) | −203861. | + | 627419.i | −0.0282201 | + | 0.0868526i | ||||
\(555\) | −1.46110e6 | + | 1.78859e6i | −0.201348 | + | 0.246478i | ||||
\(556\) | 2.55560e6 | + | 7.86533e6i | 0.350595 | + | 1.07902i | ||||
\(557\) | −6.29949e6 | −0.860334 | −0.430167 | − | 0.902749i | \(-0.641545\pi\) | ||||
−0.430167 | + | 0.902749i | \(0.641545\pi\) | |||||||
\(558\) | 992052. | + | 3.05322e6i | 0.134880 | + | 0.415119i | ||||
\(559\) | 3.33772e6 | + | 2.42499e6i | 0.451773 | + | 0.328232i | ||||
\(560\) | −837459. | − | 325593.i | −0.112848 | − | 0.0438738i | ||||
\(561\) | 380214. | − | 276242.i | 0.0510060 | − | 0.0370580i | ||||
\(562\) | −1.85208e6 | − | 1.34561e6i | −0.247354 | − | 0.179713i | ||||
\(563\) | 1.17310e6 | + | 852305.i | 0.155978 | + | 0.113325i | 0.663037 | − | 0.748587i | \(-0.269267\pi\) |
−0.507059 | + | 0.861911i | \(0.669267\pi\) | |||||||
\(564\) | −5.01534e6 | + | 3.64386e6i | −0.663900 | + | 0.482352i | ||||
\(565\) | −8.62703e6 | − | 3.35408e6i | −1.13695 | − | 0.442030i | ||||
\(566\) | 2.51412e6 | + | 1.82662e6i | 0.329872 | + | 0.239666i | ||||
\(567\) | 108385. | + | 333575.i | 0.0141583 | + | 0.0435748i | ||||
\(568\) | 4.84347e6 | 0.629920 | ||||||||
\(569\) | 2.13362e6 | + | 6.56660e6i | 0.276271 | + | 0.850275i | 0.988880 | + | 0.148714i | \(0.0475134\pi\) |
−0.712609 | + | 0.701561i | \(0.752487\pi\) | |||||||
\(570\) | 995087. | − | 1.21812e6i | 0.128284 | − | 0.157038i | ||||
\(571\) | 473906. | − | 1.45853e6i | 0.0608278 | − | 0.187209i | −0.916025 | − | 0.401121i | \(-0.868621\pi\) |
0.976853 | + | 0.213912i | \(0.0686207\pi\) | |||||||
\(572\) | −185456. | + | 570776.i | −0.0237002 | + | 0.0729417i | ||||
\(573\) | 2.88428e6 | − | 2.09555e6i | 0.366987 | − | 0.266632i | ||||
\(574\) | −1.36618e6 | −0.173073 | ||||||||
\(575\) | 2.65023e6 | − | 5.81787e6i | 0.334283 | − | 0.733828i | ||||
\(576\) | −111752. | −0.0140346 | ||||||||
\(577\) | 6.41755e6 | − | 4.66262e6i | 0.802471 | − | 0.583029i | −0.109167 | − | 0.994023i | \(-0.534818\pi\) |
0.911638 | + | 0.410994i | \(0.134818\pi\) | |||||||
\(578\) | 785971. | − | 2.41897e6i | 0.0978558 | − | 0.301169i | ||||
\(579\) | 210107. | − | 646642.i | 0.0260462 | − | 0.0801619i | ||||
\(580\) | 5.32320e6 | + | 2.06959e6i | 0.657057 | + | 0.255455i | ||||
\(581\) | 202734. | + | 623952.i | 0.0249165 | + | 0.0766851i | ||||
\(582\) | 354089. | 0.0433317 | ||||||||
\(583\) | −541907. | − | 1.66782e6i | −0.0660318 | − | 0.203225i | ||||
\(584\) | −9.84102e6 | − | 7.14992e6i | −1.19401 | − | 0.867499i | ||||
\(585\) | −1.37544e6 | − | 2.13799e6i | −0.166170 | − | 0.258295i | ||||
\(586\) | 1.69098e6 | − | 1.22857e6i | 0.203421 | − | 0.147794i | ||||
\(587\) | −4.16051e6 | − | 3.02279e6i | −0.498369 | − | 0.362087i | 0.310024 | − | 0.950729i | \(-0.399663\pi\) |
−0.808394 | + | 0.588642i | \(0.799663\pi\) | |||||||
\(588\) | 3.35735e6 | + | 2.43926e6i | 0.400455 | + | 0.290947i | ||||
\(589\) | −8.03714e6 | + | 5.83932e6i | −0.954582 | + | 0.693545i | ||||
\(590\) | −1.30329e6 | + | 343239.i | −0.154138 | + | 0.0405944i | ||||
\(591\) | 3.92379e6 | + | 2.85080e6i | 0.462101 | + | 0.335736i | ||||
\(592\) | 531809. | + | 1.63674e6i | 0.0623665 | + | 0.191944i | ||||
\(593\) | 1.39353e7 | 1.62735 | 0.813675 | − | 0.581320i | \(-0.197463\pi\) | ||||
0.813675 | + | 0.581320i | \(0.197463\pi\) | |||||||
\(594\) | 213534. | + | 657190.i | 0.0248314 | + | 0.0764231i | ||||
\(595\) | −722134. | − | 1.12249e6i | −0.0836230 | − | 0.129984i | ||||
\(596\) | 1.31218e6 | − | 4.03847e6i | 0.151313 | − | 0.465695i | ||||
\(597\) | 533650. | − | 1.64240e6i | 0.0612802 | − | 0.188601i | ||||
\(598\) | 1.45879e6 | − | 1.05987e6i | 0.166816 | − | 0.121199i | ||||
\(599\) | 1.08629e7 | 1.23703 | 0.618513 | − | 0.785775i | \(-0.287735\pi\) | ||||
0.618513 | + | 0.785775i | \(0.287735\pi\) | |||||||
\(600\) | −4.21136e6 | + | 2.38356e6i | −0.477578 | + | 0.270301i | ||||
\(601\) | −1.12633e7 | −1.27198 | −0.635989 | − | 0.771698i | \(-0.719408\pi\) | ||||
−0.635989 | + | 0.771698i | \(0.719408\pi\) | |||||||
\(602\) | −906680. | + | 658741.i | −0.101968 | + | 0.0740839i | ||||
\(603\) | −188980. | + | 581620.i | −0.0211652 | + | 0.0651397i | ||||
\(604\) | −2.93286e6 | + | 9.02643e6i | −0.327114 | + | 1.00675i | ||||
\(605\) | 494887. | − | 8.72756e6i | 0.0549690 | − | 0.969403i | ||||
\(606\) | −619499. | − | 1.90662e6i | −0.0685266 | − | 0.210903i | ||||
\(607\) | −9.20386e6 | −1.01391 | −0.506954 | − | 0.861973i | \(-0.669228\pi\) | ||||
−0.506954 | + | 0.861973i | \(0.669228\pi\) | |||||||
\(608\) | −1.87925e6 | − | 5.78373e6i | −0.206170 | − | 0.634525i | ||||
\(609\) | 1.25265e6 | + | 910104.i | 0.136863 | + | 0.0994369i | ||||
\(610\) | 254483. | − | 4.48793e6i | 0.0276907 | − | 0.488339i | ||||
\(611\) | 6.44259e6 | − | 4.68082e6i | 0.698164 | − | 0.507246i | ||||
\(612\) | 1.77222e6 | + | 1.28760e6i | 0.191267 | + | 0.138963i | ||||
\(613\) | −2.00771e6 | − | 1.45869e6i | −0.215799 | − | 0.156788i | 0.474634 | − | 0.880183i | \(-0.342580\pi\) |
−0.690434 | + | 0.723396i | \(0.742580\pi\) | |||||||
\(614\) | −1.79185e6 | + | 1.30185e6i | −0.191814 | + | 0.139361i | ||||
\(615\) | 5.43822e6 | − | 6.65714e6i | 0.579788 | − | 0.709741i | ||||
\(616\) | −297661. | − | 216263.i | −0.0316060 | − | 0.0229631i | ||||
\(617\) | −3.19718e6 | − | 9.83990e6i | −0.338107 | − | 1.04059i | −0.965171 | − | 0.261618i | \(-0.915744\pi\) |
0.627065 | − | 0.778967i | \(-0.284256\pi\) | |||||||
\(618\) | −9871.42 | −0.00103970 | ||||||||
\(619\) | −1.71946e6 | − | 5.29195e6i | −0.180370 | − | 0.555122i | 0.819468 | − | 0.573125i | \(-0.194269\pi\) |
−0.999838 | + | 0.0180029i | \(0.994269\pi\) | |||||||
\(620\) | 1.30962e7 | − | 3.44905e6i | 1.36825 | − | 0.360347i | ||||
\(621\) | −2.49794e6 | + | 7.68788e6i | −0.259928 | + | 0.799977i | ||||
\(622\) | 17256.2 | − | 53109.1i | 0.00178842 | − | 0.00550419i | ||||
\(623\) | −4.19824e6 | + | 3.05020e6i | −0.433359 | + | 0.314853i | ||||
\(624\) | 1.59457e6 | 0.163939 | ||||||||
\(625\) | 5.02699e6 | − | 8.37238e6i | 0.514764 | − | 0.857332i | ||||
\(626\) | 4.70134e6 | 0.479497 | ||||||||
\(627\) | −608764. | + | 442293.i | −0.0618415 | + | 0.0449305i | ||||
\(628\) | 3.30314e6 | − | 1.01660e7i | 0.334217 | − | 1.02861i | ||||
\(629\) | −789973. | + | 2.43129e6i | −0.0796133 | + | 0.245025i | ||||
\(630\) | 667811. | − | 175877.i | 0.0670351 | − | 0.0176546i | ||||
\(631\) | −676248. | − | 2.08128e6i | −0.0676134 | − | 0.208092i | 0.911541 | − | 0.411208i | \(-0.134893\pi\) |
−0.979155 | + | 0.203116i | \(0.934893\pi\) | |||||||
\(632\) | 1.02947e7 | 1.02522 | ||||||||
\(633\) | 1.55286e6 | + | 4.77923e6i | 0.154037 | + | 0.474076i | ||||
\(634\) | −1.14809e6 | − | 834135.i | −0.113436 | − | 0.0824163i | ||||
\(635\) | −2.47443e6 | + | 3.02905e6i | −0.243524 | + | 0.298107i | ||||
\(636\) | −5.56635e6 | + | 4.04419e6i | −0.545667 | + | 0.396450i | ||||
\(637\) | −4.31277e6 | − | 3.13341e6i | −0.421122 | − | 0.305963i | ||||
\(638\) | 567735. | + | 412484.i | 0.0552197 | + | 0.0401195i | ||||
\(639\) | 3.51848e6 | − | 2.55632e6i | 0.340881 | − | 0.247664i | ||||
\(640\) | −583019. | + | 1.02818e7i | −0.0562643 | + | 0.992247i | ||||
\(641\) | 5.79762e6 | + | 4.21221e6i | 0.557320 | + | 0.404916i | 0.830477 | − | 0.557053i | \(-0.188068\pi\) |
−0.273157 | + | 0.961969i | \(0.588068\pi\) | |||||||
\(642\) | 1.43207e6 | + | 4.40745e6i | 0.137128 | + | 0.422037i | ||||
\(643\) | −6.48812e6 | −0.618858 | −0.309429 | − | 0.950923i | \(-0.600138\pi\) | ||||
−0.309429 | + | 0.950923i | \(0.600138\pi\) | |||||||
\(644\) | −589334. | − | 1.81378e6i | −0.0559947 | − | 0.172334i | ||||
\(645\) | 399211. | − | 7.04027e6i | 0.0377836 | − | 0.666331i | ||||
\(646\) | 538014. | − | 1.65584e6i | 0.0507239 | − | 0.156112i | ||||
\(647\) | −2.53009e6 | + | 7.78683e6i | −0.237616 | + | 0.731308i | 0.759147 | + | 0.650919i | \(0.225616\pi\) |
−0.996764 | + | 0.0803887i | \(0.974384\pi\) | |||||||
\(648\) | 1.13876e6 | − | 827356.i | 0.106535 | − | 0.0774025i | ||||
\(649\) | 644751. | 0.0600870 | ||||||||
\(650\) | 2.39708e6 | − | 1.35671e6i | 0.222535 | − | 0.125951i | ||||
\(651\) | 3.67146e6 | 0.339536 | ||||||||
\(652\) | −1.35979e7 | + | 9.87942e6i | −1.25271 | + | 0.910149i | ||||
\(653\) | −513357. | + | 1.57995e6i | −0.0471126 | + | 0.144998i | −0.971845 | − | 0.235619i | \(-0.924288\pi\) |
0.924733 | + | 0.380617i | \(0.124288\pi\) | |||||||
\(654\) | −453943. | + | 1.39709e6i | −0.0415008 | + | 0.127726i | ||||
\(655\) | −1.27248e6 | − | 1.97794e6i | −0.115890 | − | 0.180140i | ||||
\(656\) | −1.97940e6 | − | 6.09196e6i | −0.179586 | − | 0.552710i | ||||
\(657\) | −1.09225e7 | −0.987211 | ||||||||
\(658\) | 668482. | + | 2.05738e6i | 0.0601901 | + | 0.185246i | ||||
\(659\) | 8.95499e6 | + | 6.50618e6i | 0.803252 | + | 0.583597i | 0.911866 | − | 0.410487i | \(-0.134641\pi\) |
−0.108614 | + | 0.994084i | \(0.534641\pi\) | |||||||
\(660\) | 991954. | − | 261244.i | 0.0886404 | − | 0.0233446i | ||||
\(661\) | −1.16694e7 | + | 8.47828e6i | −1.03883 | + | 0.754752i | −0.970056 | − | 0.242881i | \(-0.921908\pi\) |
−0.0687707 | + | 0.997632i | \(0.521908\pi\) | |||||||
\(662\) | 129456. | + | 94055.2i | 0.0114809 | + | 0.00834138i | ||||
\(663\) | 1.91628e6 | + | 1.39226e6i | 0.169307 | + | 0.123009i | ||||
\(664\) | 2.13005e6 | − | 1.54757e6i | 0.187486 | − | 0.136217i | ||||
\(665\) | 1.15621e6 | + | 1.79722e6i | 0.101387 | + | 0.157597i | ||||
\(666\) | −1.07008e6 | − | 777458.i | −0.0934825 | − | 0.0679190i | ||||
\(667\) | 2.53680e6 | + | 7.80747e6i | 0.220786 | + | 0.679509i | ||||
\(668\) | 2.91173e6 | 0.252470 | ||||||||
\(669\) | −3.58568e6 | − | 1.10356e7i | −0.309746 | − | 0.953301i | ||||
\(670\) | −617560. | − | 240099.i | −0.0531486 | − | 0.0206635i | ||||
\(671\) | −664530. | + | 2.04521e6i | −0.0569781 | + | 0.175361i | ||||
\(672\) | −694509. | + | 2.13748e6i | −0.0593274 | + | 0.182591i | ||||
\(673\) | −1.26345e7 | + | 9.17950e6i | −1.07528 | + | 0.781235i | −0.976853 | − | 0.213910i | \(-0.931380\pi\) |
−0.0984238 | + | 0.995145i | \(0.531380\pi\) | |||||||
\(674\) | −9.54904e6 | −0.809674 | ||||||||
\(675\) | −5.11876e6 | + | 1.12369e7i | −0.432420 | + | 0.949261i | ||||
\(676\) | 6.42864e6 | 0.541068 | ||||||||
\(677\) | 8.08316e6 | − | 5.87276e6i | 0.677813 | − | 0.492460i | −0.194819 | − | 0.980839i | \(-0.562412\pi\) |
0.872631 | + | 0.488380i | \(0.162412\pi\) | |||||||
\(678\) | −1.37889e6 | + | 4.24378e6i | −0.115201 | + | 0.354551i | ||||
\(679\) | −148662. | + | 457535.i | −0.0123745 | + | 0.0380847i | ||||
\(680\) | −3.38870e6 | + | 4.14824e6i | −0.281035 | + | 0.344026i | ||||
\(681\) | 2.40622e6 | + | 7.40558e6i | 0.198823 | + | 0.611915i | ||||
\(682\) | 1.66400e6 | 0.136991 | ||||||||
\(683\) | −685224. | − | 2.10890e6i | −0.0562057 | − | 0.172983i | 0.919013 | − | 0.394228i | \(-0.128988\pi\) |
−0.975218 | + | 0.221245i | \(0.928988\pi\) | |||||||
\(684\) | −2.83752e6 | − | 2.06158e6i | −0.231899 | − | 0.168484i | ||||
\(685\) | 9.61679e6 | + | 3.73888e6i | 0.783076 | + | 0.304449i | ||||
\(686\) | 2.44465e6 | − | 1.77614e6i | 0.198338 | − | 0.144101i | ||||
\(687\) | 2.66027e6 | + | 1.93280e6i | 0.215047 | + | 0.156241i | ||||
\(688\) | −4.25105e6 | − | 3.08857e6i | −0.342393 | − | 0.248763i | ||||
\(689\) | 7.15040e6 | − | 5.19507e6i | 0.573829 | − | 0.416911i | ||||
\(690\) | −2.87251e6 | − | 1.11679e6i | −0.229688 | − | 0.0892996i | ||||
\(691\) | −3.55568e6 | − | 2.58335e6i | −0.283288 | − | 0.205821i | 0.437062 | − | 0.899431i | \(-0.356019\pi\) |
−0.720350 | + | 0.693611i | \(0.756019\pi\) | |||||||
\(692\) | −4.05800e6 | − | 1.24892e7i | −0.322142 | − | 0.991450i | ||||
\(693\) | −330373. | −0.0261319 | ||||||||
\(694\) | 2.15522e6 | + | 6.63308e6i | 0.169861 | + | 0.522777i | ||||
\(695\) | −1.14875e7 | + | 1.40622e7i | −0.902115 | + | 1.10431i | ||||
\(696\) | 1.92018e6 | − | 5.90970e6i | 0.150251 | − | 0.462426i | ||||
\(697\) | 2.94029e6 | − | 9.04928e6i | 0.229249 | − | 0.705557i | ||||
\(698\) | −5.38758e6 | + | 3.91430e6i | −0.418557 | + | 0.304100i | ||||
\(699\) | 1.01032e7 | 0.782106 | ||||||||
\(700\) | −581254. | − | 2.85462e6i | −0.0448354 | − | 0.220193i | ||||
\(701\) | 1.07174e7 | 0.823749 | 0.411874 | − | 0.911241i | \(-0.364874\pi\) | ||||
0.411874 | + | 0.911241i | \(0.364874\pi\) | |||||||
\(702\) | −2.81756e6 | + | 2.04707e6i | −0.215789 | + | 0.156780i | ||||
\(703\) | 1.26483e6 | − | 3.89275e6i | 0.0965260 | − | 0.297077i | ||||
\(704\) | −17899.5 | + | 55089.1i | −0.00136116 | + | 0.00418923i | ||||
\(705\) | −1.26862e7 | − | 4.93221e6i | −0.961297 | − | 0.373740i | ||||
\(706\) | −997851. | − | 3.07107e6i | −0.0753450 | − | 0.231888i | ||||
\(707\) | 2.72373e6 | 0.204935 | ||||||||
\(708\) | −781709. | − | 2.40585e6i | −0.0586087 | − | 0.180379i | ||||
\(709\) | 5.65176e6 | + | 4.10625e6i | 0.422249 | + | 0.306782i | 0.778542 | − | 0.627592i | \(-0.215960\pi\) |
−0.356293 | + | 0.934374i | \(0.615960\pi\) | |||||||
\(710\) | 2.54942e6 | + | 3.96282e6i | 0.189800 | + | 0.295025i | ||||
\(711\) | 7.47843e6 | − | 5.43340e6i | 0.554800 | − | 0.403086i | ||||
\(712\) | 1.68482e7 | + | 1.22410e7i | 1.24553 | + | 0.904931i | ||||
\(713\) | 1.57481e7 | + | 1.14417e7i | 1.16012 | + | 0.842878i | ||||
\(714\) | −520551. | + | 378203.i | −0.0382136 | + | 0.0277638i | ||||
\(715\) | −1.27424e6 | + | 335589.i | −0.0932151 | + | 0.0245495i | ||||
\(716\) | −1.55318e7 | − | 1.12845e7i | −1.13224 | − | 0.822620i | ||||
\(717\) | 2.10189e6 | + | 6.46895e6i | 0.152690 | + | 0.469933i | ||||
\(718\) | −5.38152e6 | −0.389578 | ||||||||
\(719\) | −1.21249e6 | − | 3.73167e6i | −0.0874696 | − | 0.269204i | 0.897749 | − | 0.440508i | \(-0.145202\pi\) |
−0.985218 | + | 0.171305i | \(0.945202\pi\) | |||||||
\(720\) | 1.75182e6 | + | 2.72303e6i | 0.125938 | + | 0.195759i | ||||
\(721\) | 4144.46 | − | 12755.3i | 0.000296913 | − | 0.000913805i | ||||
\(722\) | 1.09524e6 | − | 3.37080e6i | 0.0781928 | − | 0.240653i | ||||
\(723\) | −7.34564e6 | + | 5.33692e6i | −0.522618 | + | 0.379704i | ||||
\(724\) | −1.14611e7 | −0.812607 | ||||||||
\(725\) | 2.50202e6 | + | 1.22878e7i | 0.176785 | + | 0.868216i | ||||
\(726\) | −4.21413e6 | −0.296734 | ||||||||
\(727\) | 2.15970e7 | − | 1.56911e7i | 1.51550 | − | 1.10108i | 0.551842 | − | 0.833949i | \(-0.313925\pi\) |
0.963661 | − | 0.267128i | \(-0.0860748\pi\) | |||||||
\(728\) | 573029. | − | 1.76360e6i | 0.0400727 | − | 0.123331i | ||||
\(729\) | 3.51742e6 | − | 1.08255e7i | 0.245135 | − | 0.754449i | ||||
\(730\) | 669966. | − | 1.18152e7i | 0.0465313 | − | 0.820602i | ||||
\(731\) | −2.41200e6 | − | 7.42338e6i | −0.166949 | − | 0.513817i | ||||
\(732\) | 8.43729e6 | 0.582003 | ||||||||
\(733\) | −3.09437e6 | − | 9.52349e6i | −0.212722 | − | 0.654691i | −0.999307 | − | 0.0372094i | \(-0.988153\pi\) |
0.786586 | − | 0.617481i | \(-0.211847\pi\) | |||||||
\(734\) | 2.26249e6 | + | 1.64380e6i | 0.155005 | + | 0.112618i | ||||
\(735\) | −515833. | + | 9.09695e6i | −0.0352201 | + | 0.621123i | ||||
\(736\) | −9.64018e6 | + | 7.00400e6i | −0.655980 | + | 0.476597i | ||||
\(737\) | 256444. | + | 186318.i | 0.0173910 | + | 0.0126353i | ||||
\(738\) | 3.98284e6 | + | 2.89371e6i | 0.269186 | + | 0.195575i | ||||
\(739\) | 1.22912e7 | − | 8.93009e6i | 0.827911 | − | 0.601512i | −0.0910566 | − | 0.995846i | \(-0.529024\pi\) |
0.918968 | + | 0.394333i | \(0.129024\pi\) | |||||||
\(740\) | −3.52998e6 | + | 4.32118e6i | −0.236969 | + | 0.290083i | ||||
\(741\) | −3.06817e6 | − | 2.22916e6i | −0.205274 | − | 0.149140i | ||||
\(742\) | 741924. | + | 2.28341e6i | 0.0494709 | + | 0.152256i | ||||
\(743\) | −2.01580e7 | −1.33960 | −0.669801 | − | 0.742541i | \(-0.733621\pi\) | ||||
−0.669801 | + | 0.742541i | \(0.733621\pi\) | |||||||
\(744\) | −4.55310e6 | − | 1.40130e7i | −0.301561 | − | 0.928109i | ||||
\(745\) | 9.01577e6 | − | 2.37442e6i | 0.595130 | − | 0.156736i | ||||
\(746\) | 3.79172e6 | − | 1.16697e7i | 0.249453 | − | 0.767738i | ||||
\(747\) | 730558. | − | 2.24843e6i | 0.0479020 | − | 0.147427i | ||||
\(748\) | 918588. | − | 667393.i | 0.0600298 | − | 0.0436142i | ||||
\(749\) | −6.29632e6 | −0.410093 | ||||||||
\(750\) | −4.16688e6 | − | 2.19102e6i | −0.270494 | − | 0.142231i | ||||
\(751\) | −1.70580e7 | −1.10365 | −0.551823 | − | 0.833962i | \(-0.686067\pi\) | ||||
−0.551823 | + | 0.833962i | \(0.686067\pi\) | |||||||
\(752\) | −8.20555e6 | + | 5.96168e6i | −0.529131 | + | 0.384436i | ||||
\(753\) | 3.70518e6 | − | 1.14034e7i | 0.238134 | − | 0.732902i | ||||
\(754\) | −1.09295e6 | + | 3.36376e6i | −0.0700120 | + | 0.215475i | ||||
\(755\) | −2.01512e7 | + | 5.30710e6i | −1.28657 | + | 0.338836i | ||||
\(756\) | 1.13826e6 | + | 3.50321e6i | 0.0724333 | + | 0.222927i | ||||
\(757\) | 5.53943e6 | 0.351338 | 0.175669 | − | 0.984449i | \(-0.443791\pi\) | ||||
0.175669 | + | 0.984449i | \(0.443791\pi\) | |||||||
\(758\) | −2.17584e6 | − | 6.69653e6i | −0.137548 | − | 0.423328i | ||||
\(759\) | 1.19282e6 | + | 866634.i | 0.0751572 | + | 0.0546049i | ||||
\(760\) | 5.42567e6 | − | 6.64177e6i | 0.340737 | − | 0.417109i | ||||
\(761\) | 1.11463e7 | − | 8.09829e6i | 0.697703 | − | 0.506911i | −0.181480 | − | 0.983395i | \(-0.558089\pi\) |
0.879183 | + | 0.476484i | \(0.158089\pi\) | |||||||
\(762\) | 1.52543e6 | + | 1.10829e6i | 0.0951712 | + | 0.0691459i | ||||
\(763\) | −1.61466e6 | − | 1.17312e6i | −0.100409 | − | 0.0729511i | ||||
\(764\) | 6.96834e6 | − | 5.06279e6i | 0.431912 | − | 0.313803i | ||||
\(765\) | −272290. | + | 4.80195e6i | −0.0168220 | + | 0.296664i | ||||
\(766\) | −9.41115e6 | − | 6.83760e6i | −0.579523 | − | 0.421048i | ||||
\(767\) | 1.00416e6 | + | 3.09050e6i | 0.0616335 | + | 0.189688i | ||||
\(768\) | 5.25024e6 | 0.321201 | ||||||||
\(769\) | −848547. | − | 2.61156e6i | −0.0517440 | − | 0.159252i | 0.921845 | − | 0.387558i | \(-0.126681\pi\) |
−0.973589 | + | 0.228306i | \(0.926681\pi\) | |||||||
\(770\) | 20264.4 | − | 357372.i | 0.00123171 | − | 0.0217217i | ||||
\(771\) | −2.10042e6 | + | 6.46443e6i | −0.127254 | + | 0.391646i | ||||
\(772\) | 507612. | − | 1.56227e6i | 0.0306541 | − | 0.0943437i | ||||
\(773\) | 2.00213e6 | − | 1.45463e6i | 0.120516 | − | 0.0875596i | −0.525895 | − | 0.850550i | \(-0.676269\pi\) |
0.646410 | + | 0.762990i | \(0.276269\pi\) | |||||||
\(774\) | 4.03853e6 | 0.242310 | ||||||||
\(775\) | 2.19258e7 | + | 2.00848e7i | 1.31130 | + | 1.20120i | ||||
\(776\) | 1.93066e6 | 0.115094 | ||||||||
\(777\) | −1.22378e6 | + | 889126.i | −0.0727193 | + | 0.0528337i | ||||
\(778\) | −2.08482e6 | + | 6.41640e6i | −0.123486 | + | 0.380052i | ||||
\(779\) | −4.70771e6 | + | 1.44889e7i | −0.277950 | + | 0.855442i | ||||
\(780\) | 2.79714e6 | + | 4.34788e6i | 0.164618 | + | 0.255883i | ||||
\(781\) | −696597. | − | 2.14391e6i | −0.0408653 | − | 0.125770i | ||||
\(782\) | −3.41144e6 | −0.199490 | ||||||||
\(783\) | −4.89967e6 | − | 1.50796e7i | −0.285603 | − | 0.878996i | ||||
\(784\) | 5.49292e6 | + | 3.99084e6i | 0.319164 | + | 0.231886i | ||||
\(785\) | 2.26954e7 | − | 5.97713e6i | 1.31451 | − | 0.346193i | ||||
\(786\) | −917268. | + | 666434.i | −0.0529590 | + | 0.0384770i | ||||
\(787\) | 1.68114e7 | + | 1.22142e7i | 0.967536 | + | 0.702956i | 0.954889 | − | 0.296964i | \(-0.0959740\pi\) |
0.0126476 | + | 0.999920i | \(0.495974\pi\) | |||||||
\(788\) | 9.47977e6 | + | 6.88746e6i | 0.543854 | + | 0.395133i | ||||
\(789\) | 1.08345e6 | − | 787172.i | 0.0619607 | − | 0.0450171i | ||||
\(790\) | 5.41872e6 | + | 8.42286e6i | 0.308908 | + | 0.480167i | ||||
\(791\) | −4.90467e6 | − | 3.56345e6i | −0.278720 | − | 0.202502i | ||||
\(792\) | 409707. | + | 1.26095e6i | 0.0232092 | + | 0.0714307i | ||||
\(793\) | −1.08383e7 | −0.612040 | ||||||||
\(794\) | −2.38682e6 | − | 7.34587e6i | −0.134359 | − | 0.413516i | ||||
\(795\) | −1.40799e7 | − | 5.47409e6i | −0.790100 | − | 0.307181i | ||||
\(796\) | 1.28928e6 | − | 3.96800e6i | 0.0721216 | − | 0.221968i | ||||
\(797\) | 1.18635e6 | − | 3.65120e6i | 0.0661555 | − | 0.203606i | −0.912514 | − | 0.409044i | \(-0.865862\pi\) |
0.978670 | + | 0.205439i | \(0.0658621\pi\) | |||||||
\(798\) | 833458. | − | 605543.i | 0.0463315 | − | 0.0336618i | ||||
\(799\) | −1.50663e7 | −0.834910 | ||||||||
\(800\) | −1.58407e7 | + | 8.96560e6i | −0.875086 | + | 0.495284i | ||||
\(801\) | 1.86998e7 | 1.02981 | ||||||||
\(802\) | −3.99436e6 | + | 2.90207e6i | −0.219286 | + | 0.159321i | ||||
\(803\) | −1.74948e6 | + | 5.38434e6i | −0.0957457 | + | 0.294675i | ||||
\(804\) | 384316. | − | 1.18280e6i | 0.0209676 | − | 0.0645315i | ||||
\(805\) | 2.64906e6 | − | 3.24282e6i | 0.144080 | − | 0.176374i | ||||
\(806\) | 2.59160e6 | + | 7.97611e6i | 0.140517 | + | 0.432468i | ||||
\(807\) | 343079. | 0.0185443 | ||||||||
\(808\) | −3.37779e6 | − | 1.03958e7i | −0.182014 | − | 0.560181i | ||||
\(809\) | 7.36384e6 | + | 5.35014e6i | 0.395579 | + | 0.287405i | 0.767738 | − | 0.640764i | \(-0.221382\pi\) |
−0.372159 | + | 0.928169i | \(0.621382\pi\) | |||||||
\(810\) | 1.27632e6 | + | 496218.i | 0.0683515 | + | 0.0265742i | ||||
\(811\) | 7.16842e6 | − | 5.20816e6i | 0.382711 | − | 0.278056i | −0.379751 | − | 0.925089i | \(-0.623990\pi\) |
0.762462 | + | 0.647033i | \(0.223990\pi\) | |||||||
\(812\) | 3.02637e6 | + | 2.19879e6i | 0.161076 | + | 0.117029i | ||||
\(813\) | 1.35860e7 | + | 9.87082e6i | 0.720885 | + | 0.523753i | ||||
\(814\) | −554649. | + | 402976.i | −0.0293398 | + | 0.0213166i | ||||
\(815\) | −3.43954e7 | − | 1.33725e7i | −1.81387 | − | 0.705208i | ||||
\(816\) | −2.44065e6 | − | 1.77324e6i | −0.128316 | − | 0.0932270i | ||||
\(817\) | 3.86187e6 | + | 1.18856e7i | 0.202415 | + | 0.622970i | ||||
\(818\) | −1.20983e7 | −0.632179 | ||||||||
\(819\) | −514538. | − | 1.58359e6i | −0.0268045 | − | 0.0824958i | ||||
\(820\) | 1.31386e7 | − | 1.60835e7i | 0.682361 | − | 0.835305i | ||||
\(821\) | −1.04285e7 | + | 3.20957e7i | −0.539964 | + | 1.66184i | 0.192709 | + | 0.981256i | \(0.438273\pi\) |
−0.732673 | + | 0.680581i | \(0.761727\pi\) | |||||||
\(822\) | 1.53709e6 | − | 4.73066e6i | 0.0793448 | − | 0.244198i | ||||
\(823\) | −2.69940e7 | + | 1.96123e7i | −1.38921 | + | 1.00932i | −0.393258 | + | 0.919428i | \(0.628652\pi\) |
−0.995952 | + | 0.0898915i | \(0.971348\pi\) | |||||||
\(824\) | −53823.5 | −0.00276156 | ||||||||
\(825\) | 1.66074e6 | + | 1.52130e6i | 0.0849508 | + | 0.0778181i | ||||
\(826\) | −882728. | −0.0450170 | ||||||||
\(827\) | −2.04613e7 | + | 1.48660e7i | −1.04033 | + | 0.755841i | −0.970349 | − | 0.241708i | \(-0.922293\pi\) |
−0.0699769 | + | 0.997549i | \(0.522293\pi\) | |||||||
\(828\) | −2.12368e6 | + | 6.53602e6i | −0.107650 | + | 0.331312i | ||||
\(829\) | −150795. | + | 464101.i | −0.00762082 | + | 0.0234545i | −0.954795 | − | 0.297266i | \(-0.903925\pi\) |
0.947174 | + | 0.320721i | \(0.103925\pi\) | |||||||
\(830\) | 2.38736e6 | + | 928175.i | 0.120288 | + | 0.0467665i | ||||
\(831\) | −840132. | − | 2.58566e6i | −0.0422032 | − | 0.129888i | ||||
\(832\) | −291938. | −0.0146212 | ||||||||
\(833\) | 3.11663e6 | + | 9.59199e6i | 0.155622 | + | 0.478957i | ||||
\(834\) | 7.08176e6 | + | 5.14520e6i | 0.352554 | + | 0.256146i | ||||
\(835\) | 3.45889e6 | + | 5.37650e6i | 0.171680 | + | 0.266860i | ||||
\(836\) | −1.47076e6 | + | 1.06857e6i | −0.0727822 | + | 0.0528794i | ||||
\(837\) | −3.04165e7 | − | 2.20989e7i | −1.50070 | − | 1.09033i | ||||
\(838\) | 1.12497e7 | + | 8.17339e6i | 0.553390 | + | 0.402061i | ||||
\(839\) | 4.49130e6 | − | 3.26312e6i | 0.220276 | − | 0.160040i | −0.472175 | − | 0.881505i | \(-0.656531\pi\) |
0.692451 | + | 0.721465i | \(0.256531\pi\) | |||||||
\(840\) | −3.06497e6 | + | 807202.i | −0.149875 | + | 0.0394715i | ||||
\(841\) | 3.56681e6 | + | 2.59144e6i | 0.173896 | + | 0.126343i | ||||
\(842\) | −1.61790e6 | − | 4.97940e6i | −0.0786453 | − | 0.242045i | ||||
\(843\) | 9.43443e6 | 0.457243 | ||||||||
\(844\) | 3.75168e6 | + | 1.15465e7i | 0.181288 | + | 0.557948i | ||||
\(845\) | 7.63667e6 | + | 1.18704e7i | 0.367927 | + | 0.571907i | ||||
\(846\) | 2.40889e6 | − | 7.41381e6i | 0.115715 | − | 0.356136i | ||||
\(847\) | 1.76928e6 | − | 5.44528e6i | 0.0847399 | − | 0.260802i | ||||
\(848\) | −9.10704e6 | + | 6.61665e6i | −0.434898 | + | 0.315972i | ||||
\(849\) | −1.28069e7 | −0.609780 | ||||||||
\(850\) | −5.17768e6 | − | 589084.i | −0.245803 | − | 0.0279660i | ||||
\(851\) | −8.02004e6 | −0.379623 | ||||||||
\(852\) | −7.15530e6 | + | 5.19863e6i | −0.337698 | + | 0.245352i | ||||
\(853\) | 1.02525e7 | − | 3.15540e7i | 0.482456 | − | 1.48485i | −0.353176 | − | 0.935557i | \(-0.614898\pi\) |
0.835632 | − | 0.549290i | \(-0.185102\pi\) | |||||||
\(854\) | 909807. | − | 2.80010e6i | 0.0426879 | − | 0.131380i | ||||
\(855\) | 435965. | − | 7.68844e6i | 0.0203956 | − | 0.359685i | ||||
\(856\) | 7.80829e6 | + | 2.40315e7i | 0.364227 | + | 1.12097i | ||||
\(857\) | −1.74382e7 | −0.811055 | −0.405528 | − | 0.914083i | \(-0.632912\pi\) | ||||
−0.405528 | + | 0.914083i | \(0.632912\pi\) | |||||||
\(858\) | 196297. | + | 604141.i | 0.00910324 | + | 0.0280169i | ||||
\(859\) | −4.08492e6 | − | 2.96787e6i | −0.188887 | − | 0.137234i | 0.489323 | − | 0.872103i | \(-0.337244\pi\) |
−0.678210 | + | 0.734868i | \(0.737244\pi\) | |||||||
\(860\) | 964482. | − | 1.70091e7i | 0.0444681 | − | 0.784215i | ||||
\(861\) | 4.55491e6 | − | 3.30934e6i | 0.209398 | − | 0.152136i | ||||
\(862\) | −7.47086e6 | − | 5.42790e6i | −0.342454 | − | 0.248807i | ||||
\(863\) | 1.73217e7 | + | 1.25850e7i | 0.791706 | + | 0.575208i | 0.908469 | − | 0.417951i | \(-0.137252\pi\) |
−0.116763 | + | 0.993160i | \(0.537252\pi\) | |||||||
\(864\) | 1.86194e7 | − | 1.35278e7i | 0.848559 | − | 0.616514i | ||||
\(865\) | 1.82408e7 | − | 2.23292e7i | 0.828901 | − | 1.01469i | ||||
\(866\) | 1.56909e7 | + | 1.14001e7i | 0.710971 | + | 0.516551i | ||||
\(867\) | 3.23907e6 | + | 9.96883e6i | 0.146343 | + | 0.450398i | ||||
\(868\) | 8.87014e6 | 0.399605 | ||||||||
\(869\) | −1.48060e6 | − | 4.55681e6i | −0.0665102 | − | 0.204697i | ||||
\(870\) | 5.84589e6 | − | 1.53959e6i | 0.261850 | − | 0.0689617i | ||||
\(871\) | −493683. | + | 1.51940e6i | −0.0220497 | + | 0.0678620i | ||||
\(872\) | −2.47510e6 | + | 7.61759e6i | −0.110231 | + | 0.339255i | ||||
\(873\) | 1.40250e6 | − | 1.01898e6i | 0.0622828 | − | 0.0452511i | ||||
\(874\) | 5.46207e6 | 0.241868 | ||||||||
\(875\) | 4.58056e6 | − | 4.46433e6i | 0.202255 | − | 0.197122i | ||||
\(876\) | 2.22124e7 | 0.977994 | ||||||||
\(877\) | 2.16653e7 | − | 1.57408e7i | 0.951187 | − | 0.691078i | 9.97386e−5 | − | 1.00000i | \(-0.499968\pi\) |
0.951087 | + | 0.308922i | \(0.0999683\pi\) | |||||||
\(878\) | 2.86390e6 | − | 8.81417e6i | 0.125378 | − | 0.385874i | ||||
\(879\) | −2.66181e6 | + | 8.19222e6i | −0.116200 | + | 0.357626i | ||||
\(880\) | 1.62292e6 | − | 427419.i | 0.0706467 | − | 0.0186058i | ||||
\(881\) | −1.02639e7 | − | 3.15891e7i | −0.445526 | − | 1.37119i | −0.881906 | − | 0.471425i | \(-0.843740\pi\) |
0.436380 | − | 0.899762i | \(-0.356260\pi\) | |||||||
\(882\) | −5.21832e6 | −0.225870 | ||||||||
\(883\) | −6.78544e6 | − | 2.08834e7i | −0.292871 | − | 0.901364i | −0.983928 | − | 0.178564i | \(-0.942855\pi\) |
0.691058 | − | 0.722800i | \(-0.257145\pi\) | |||||||
\(884\) | 4.62968e6 | + | 3.36366e6i | 0.199260 | + | 0.144771i | ||||
\(885\) | 3.51379e6 | − | 4.30137e6i | 0.150806 | − | 0.184607i | ||||
\(886\) | −6.77421e6 | + | 4.92175e6i | −0.289917 | + | 0.210637i | ||||
\(887\) | −2.04943e7 | − | 1.48900e7i | −0.874628 | − | 0.635454i | 0.0571970 | − | 0.998363i | \(-0.481784\pi\) |
−0.931825 | + | 0.362909i | \(0.881784\pi\) | |||||||
\(888\) | 4.91122e6 | + | 3.56821e6i | 0.209005 | + | 0.151851i | ||||
\(889\) | −2.07252e6 | + | 1.50577e6i | −0.0879517 | + | 0.0639007i | ||||
\(890\) | −1.14701e6 | + | 2.02280e7i | −0.0485391 | + | 0.856009i | ||||
\(891\) | −529998. | − | 385066.i | −0.0223656 | − | 0.0162496i | ||||
\(892\) | −8.66291e6 | − | 2.66617e7i | −0.364545 | − | 1.12195i | ||||
\(893\) | 2.41228e7 | 1.01227 | ||||||||
\(894\) | −1.38888e6 | − | 4.27454e6i | −0.0581195 | − | 0.178873i | ||||
\(895\) | 2.38635e6 | − | 4.20843e7i | 0.0995808 | − | 1.75615i | ||||
\(896\) | −2.08436e6 | + | 6.41501e6i | −0.0867367 | + | 0.266948i | ||||
\(897\) | −2.29631e6 | + | 7.06731e6i | −0.0952904 | + | 0.293274i | ||||
\(898\) | 831324. | − | 603992.i | 0.0344017 | − | 0.0249943i | ||||
\(899\) | −3.81817e7 | −1.57563 | ||||||||
\(900\) | −4.35183e6 | + | 9.55327e6i | −0.179088 | + | 0.393139i | ||||
\(901\) | −1.67215e7 | −0.686222 | ||||||||
\(902\) | 2.06441e6 | − | 1.49988e6i | 0.0844850 | − | 0.0613819i | ||||
\(903\) | 1.42723e6 | − | 4.39255e6i | 0.0582470 | − | 0.179266i | ||||
\(904\) | −7.51833e6 | + | 2.31390e7i | −0.305985 | + | 0.941726i | ||||
\(905\) | −1.36148e7 | − | 2.11629e7i | −0.552574 | − | 0.858922i | ||||
\(906\) | 3.10431e6 | + | 9.55408e6i | 0.125645 | + | 0.386695i | ||||
\(907\) | 8.35387e6 | 0.337186 | 0.168593 | − | 0.985686i | \(-0.446078\pi\) | ||||
0.168593 | + | 0.985686i | \(0.446078\pi\) | |||||||
\(908\) | 5.81336e6 | + | 1.78917e7i | 0.233998 | + | 0.720172i | ||||
\(909\) | −7.94052e6 | − | 5.76913e6i | −0.318742 | − | 0.231580i | ||||
\(910\) | 1.74456e6 | − | 459454.i | 0.0698366 | − | 0.0183924i | ||||
\(911\) | 1.45893e7 | − | 1.05997e7i | 0.582423 | − | 0.423155i | −0.257174 | − | 0.966365i | \(-0.582791\pi\) |
0.839597 | + | 0.543210i | \(0.182791\pi\) | |||||||
\(912\) | 3.90775e6 | + | 2.83914e6i | 0.155575 | + | 0.113032i | ||||
\(913\) | −991362. | − | 720267.i | −0.0393600 | − | 0.0285967i | ||||
\(914\) | −1.31635e6 | + | 956381.i | −0.0521200 | + | 0.0378674i | ||||
\(915\) | 1.00228e7 | + | 1.55794e7i | 0.395763 | + | 0.615174i | ||||
\(916\) | 6.42714e6 | + | 4.66959e6i | 0.253092 | + | 0.183882i | ||||
\(917\) | −476022. | − | 1.46504e6i | −0.0186940 | − | 0.0575343i | ||||
\(918\) | 6.58898e6 | 0.258055 | ||||||||
\(919\) | 1.19295e7 | + | 3.67153e7i | 0.465945 | + | 1.43403i | 0.857790 | + | 0.514000i | \(0.171837\pi\) |
−0.391846 | + | 0.920031i | \(0.628163\pi\) | |||||||
\(920\) | −1.56622e7 | − | 6.08926e6i | −0.610076 | − | 0.237189i | ||||
\(921\) | 2.82059e6 | − | 8.68087e6i | 0.109570 | − | 0.337221i | ||||
\(922\) | −1.81134e6 | + | 5.57474e6i | −0.0701735 | + | 0.215972i | ||||
\(923\) | 9.19153e6 | − | 6.67804e6i | 0.355127 | − | 0.258015i | ||||
\(924\) | 671858. | 0.0258880 | ||||||||
\(925\) | −1.21723e7 | − | 1.38489e6i | −0.467756 | − | 0.0532184i | ||||
\(926\) | −2.07557e7 | −0.795444 | ||||||||
\(927\) | −39099.4 | + | 28407.4i | −0.00149442 | + | 0.00108576i | ||||
\(928\) | 7.22262e6 | − | 2.22289e7i | 0.275312 | − | 0.847322i | ||||
\(929\) | −6.36975e6 | + | 1.96041e7i | −0.242149 | + | 0.745259i | 0.753943 | + | 0.656940i | \(0.228150\pi\) |
−0.996092 | + | 0.0883192i | \(0.971850\pi\) | |||||||
\(930\) | 9.06855e6 | − | 1.11012e7i | 0.343820 | − | 0.420883i | ||||
\(931\) | −4.99005e6 | − | 1.53578e7i | −0.188682 | − | 0.580704i | ||||
\(932\) | 2.44090e7 | 0.920472 | ||||||||
\(933\) | 71114.7 | + | 218868.i | 0.00267458 | + | 0.00823150i | ||||
\(934\) | 1.36724e7 | + | 9.93355e6i | 0.512834 | + | 0.372595i | ||||
\(935\) | 2.32354e6 | + | 903362.i | 0.0869203 | + | 0.0337935i | ||||
\(936\) | −5.40605e6 | + | 3.92772e6i | −0.201693 | + | 0.146538i | ||||
\(937\) | −8.44258e6 | − | 6.13390e6i | −0.314142 | − | 0.228238i | 0.419530 | − | 0.907742i | \(-0.362195\pi\) |
−0.733672 | + | 0.679504i | \(0.762195\pi\) | |||||||
\(938\) | −351098. | − | 255087.i | −0.0130293 | − | 0.00946633i | ||||
\(939\) | −1.56745e7 | + | 1.13882e7i | −0.580136 | + | 0.421493i | ||||
\(940\) | −3.06494e7 | − | 1.19161e7i | −1.13137 | − | 0.439860i | ||||
\(941\) | 3.85775e7 | + | 2.80282e7i | 1.42023 | + | 1.03186i | 0.991733 | + | 0.128319i | \(0.0409582\pi\) |
0.428501 | + | 0.903541i | \(0.359042\pi\) | |||||||
\(942\) | −3.49623e6 | − | 1.07603e7i | −0.128373 | − | 0.395091i | ||||
\(943\) | 2.98506e7 | 1.09314 | ||||||||
\(944\) | −1.27894e6 | − | 3.93619e6i | −0.0467113 | − | 0.143763i | ||||
\(945\) | −5.11651e6 | + | 6.26331e6i | −0.186378 | + | 0.228152i | ||||
\(946\) | 646857. | − | 1.99082e6i | 0.0235007 | − | 0.0723277i | ||||
\(947\) | −4.54910e6 | + | 1.40007e7i | −0.164835 | + | 0.507311i | −0.999024 | − | 0.0441680i | \(-0.985936\pi\) |
0.834189 | + | 0.551479i | \(0.185936\pi\) | |||||||
\(948\) | −1.52084e7 | + | 1.10495e7i | −0.549620 | + | 0.399322i | ||||
\(949\) | −2.85336e7 | −1.02847 | ||||||||
\(950\) | 8.29002e6 | + | 943186.i | 0.298021 | + | 0.0339069i | ||||
\(951\) | 5.84833e6 | 0.209691 | ||||||||
\(952\) | −2.83828e6 | + | 2.06213e6i | −0.101499 | + | 0.0737436i | ||||
\(953\) | 3.51218e6 | − | 1.08094e7i | 0.125269 | − | 0.385539i | −0.868681 | − | 0.495372i | \(-0.835032\pi\) |
0.993950 | + | 0.109833i | \(0.0350317\pi\) | |||||||
\(954\) | 2.67354e6 | − | 8.22832e6i | 0.0951078 | − | 0.292712i | ||||
\(955\) | 1.76262e7 | + | 6.85283e6i | 0.625389 | + | 0.243143i | ||||
\(956\) | 5.07811e6 | + | 1.56288e7i | 0.179704 | + | 0.553071i | ||||
\(957\) | −2.89202e6 | −0.102076 | ||||||||
\(958\) | −6.19865e6 | − | 1.90775e7i | −0.218214 | − | 0.671594i | ||||
\(959\) | 5.46737e6 | + | 3.97228e6i | 0.191970 | + | 0.139474i | ||||
\(960\) | 269970. | + | 419641.i | 0.00945447 | + | 0.0146960i | ||||
\(961\) | −5.00837e7 | + | 3.63879e7i | −1.74939 | + | 1.27101i | ||||
\(962\) | −2.79543e6 | − | 2.03100e6i | −0.0973893 | − | 0.0707575i | ||||
\(963\) | 1.83558e7 | + | 1.33362e7i | 0.637832 | + | 0.463412i | ||||
\(964\) | −1.77469e7 | + | 1.28939e7i | −0.615077 | + | 0.446879i | ||||
\(965\) | 3.48772e6 | − | 918539.i | 0.120566 | − | 0.0317526i | ||||
\(966\) | −1.63309e6 | − | 1.18651e6i | −0.0563076 | − | 0.0409099i | ||||
\(967\) | 1.47925e7 | + | 4.55267e7i | 0.508717 | + | 1.56567i | 0.794431 | + | 0.607354i | \(0.207769\pi\) |
−0.285715 | + | 0.958315i | \(0.592231\pi\) | |||||||
\(968\) | −2.29774e7 | −0.788156 | ||||||||
\(969\) | 2.21721e6 | + | 6.82388e6i | 0.0758575 | + | 0.233465i | ||||
\(970\) | 1.01622e6 | + | 1.57962e6i | 0.0346785 | + | 0.0539043i | ||||
\(971\) | 2.12386e6 | − | 6.53658e6i | 0.0722900 | − | 0.222486i | −0.908383 | − | 0.418139i | \(-0.862683\pi\) |
0.980673 | + | 0.195653i | \(0.0626826\pi\) | |||||||
\(972\) | 6.76013e6 | − | 2.08055e7i | 0.229503 | − | 0.706339i | ||||
\(973\) | −9.62159e6 | + | 6.99049e6i | −0.325810 | + | 0.236715i | ||||
\(974\) | 5.43577e6 | 0.183596 | ||||||||
\(975\) | −4.70558e6 | + | 1.03298e7i | −0.158526 | + | 0.348002i | ||||
\(976\) | 1.38041e7 | 0.463858 | ||||||||
\(977\) | −1.64657e7 | + | 1.19630e7i | −0.551879 | + | 0.400964i | −0.828478 | − | 0.560022i | \(-0.810793\pi\) |
0.276599 | + | 0.960986i | \(0.410793\pi\) | |||||||
\(978\) | −5.49753e6 | + | 1.69197e7i | −0.183789 | + | 0.565646i | ||||
\(979\) | 2.99517e6 | − | 9.21820e6i | 0.0998770 | − | 0.307390i | ||||
\(980\) | −1.24624e6 | + | 2.19780e7i | −0.0414511 | + | 0.731009i | ||||
\(981\) | 2.22246e6 | + | 6.84003e6i | 0.0737330 | + | 0.226927i | ||||
\(982\) | −72056.7 | −0.00238449 | ||||||||
\(983\) | 1.49889e6 | + | 4.61310e6i | 0.0494750 | + | 0.152268i | 0.972742 | − | 0.231891i | \(-0.0744913\pi\) |
−0.923267 | + | 0.384159i | \(0.874491\pi\) | |||||||
\(984\) | −1.82796e7 | − | 1.32809e7i | −0.601837 | − | 0.437260i | ||||
\(985\) | −1.45650e6 | + | 2.56861e7i | −0.0478322 | + | 0.843542i | ||||
\(986\) | 5.41352e6 | − | 3.93315e6i | 0.177332 | − | 0.128839i | ||||
\(987\) | −7.21239e6 | − | 5.24011e6i | −0.235660 | − | 0.171217i | ||||
\(988\) | −7.41261e6 | − | 5.38558e6i | −0.241590 | − | 0.175525i | ||||
\(989\) | 1.98107e7 | − | 1.43933e7i | 0.644034 | − | 0.467918i | ||||
\(990\) | −816027. | + | 998930.i | −0.0264616 | + | 0.0323927i | ||||
\(991\) | 209008. | + | 151853.i | 0.00676050 | + | 0.00491179i | 0.591160 | − | 0.806554i | \(-0.298670\pi\) |
−0.584400 | + | 0.811466i | \(0.698670\pi\) | |||||||
\(992\) | −1.71262e7 | − | 5.27090e7i | −0.552563 | − | 1.70061i | ||||
\(993\) | −659444. | −0.0212229 | ||||||||
\(994\) | 953711. | + | 2.93522e6i | 0.0306162 | + | 0.0942269i | ||||
\(995\) | 8.85846e6 | − | 2.33299e6i | 0.283661 | − | 0.0747061i | ||||
\(996\) | −1.48569e6 | + | 4.57248e6i | −0.0474547 | + | 0.146051i | ||||
\(997\) | −9.94337e6 | + | 3.06025e7i | −0.316808 | + | 0.975034i | 0.658196 | + | 0.752846i | \(0.271320\pi\) |
−0.975004 | + | 0.222187i | \(0.928680\pi\) | |||||||
\(998\) | 1.02715e7 | − | 7.46269e6i | 0.326443 | − | 0.237175i | ||||
\(999\) | 1.54902e7 | 0.491070 |
(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 | 25.6.d.a.11.7 | ✓ | 44 | |
25.4 | even | 10 | 625.6.a.c.1.14 | 22 | |||
25.16 | even | 5 | inner | 25.6.d.a.16.7 | yes | 44 | |
25.21 | even | 5 | 625.6.a.d.1.9 | 22 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
25.6.d.a.11.7 | ✓ | 44 | 1.1 | even | 1 | trivial | |
25.6.d.a.16.7 | yes | 44 | 25.16 | even | 5 | inner | |
625.6.a.c.1.14 | 22 | 25.4 | even | 10 | |||
625.6.a.d.1.9 | 22 | 25.21 | even | 5 |