Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [29,6,Mod(7,29)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(29, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([6]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("29.7");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 29 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 29.d (of order \(7\), degree \(6\), 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: | \(4.65113077458\) |
Analytic rank: | \(0\) |
Dimension: | \(66\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{7})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 25.1 | ||
Character | \(\chi\) | \(=\) | 29.25 |
Dual form | 29.6.d.a.7.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{4}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.41509 | + | 10.5812i | −0.426932 | + | 1.87051i | 0.0618152 | + | 0.998088i | \(0.480311\pi\) |
−0.488748 | + | 0.872425i | \(0.662546\pi\) | |||||||
\(3\) | 0.690047 | − | 0.332309i | 0.0442665 | − | 0.0213176i | −0.411620 | − | 0.911356i | \(-0.635037\pi\) |
0.455886 | + | 0.890038i | \(0.349322\pi\) | |||||||
\(4\) | −77.2985 | − | 37.2250i | −2.41558 | − | 1.16328i | ||||
\(5\) | 19.1233 | − | 83.7844i | 0.342087 | − | 1.49878i | −0.452573 | − | 0.891727i | \(-0.649494\pi\) |
0.794660 | − | 0.607054i | \(-0.207649\pi\) | |||||||
\(6\) | 1.84971 | + | 8.10409i | 0.0209761 | + | 0.0919023i | ||||
\(7\) | −158.450 | + | 76.3053i | −1.22221 | + | 0.588586i | −0.929926 | − | 0.367746i | \(-0.880130\pi\) |
−0.292284 | + | 0.956331i | \(0.594415\pi\) | |||||||
\(8\) | 364.027 | − | 456.475i | 2.01098 | − | 2.52169i | ||||
\(9\) | −151.142 | + | 189.526i | −0.621985 | + | 0.779944i | ||||
\(10\) | 840.357 | + | 404.695i | 2.65744 | + | 1.27976i | ||||
\(11\) | 16.8666 | + | 21.1500i | 0.0420287 | + | 0.0527023i | 0.802402 | − | 0.596784i | \(-0.203555\pi\) |
−0.760373 | + | 0.649487i | \(0.774984\pi\) | |||||||
\(12\) | −65.7098 | −0.131728 | ||||||||
\(13\) | −511.423 | − | 641.304i | −0.839309 | − | 1.05246i | −0.997878 | − | 0.0651123i | \(-0.979259\pi\) |
0.158569 | − | 0.987348i | \(-0.449312\pi\) | |||||||
\(14\) | −424.732 | − | 1860.87i | −0.579156 | − | 2.53745i | ||||
\(15\) | −14.6464 | − | 64.1700i | −0.0168075 | − | 0.0736384i | ||||
\(16\) | 2239.15 | + | 2807.81i | 2.18667 | + | 2.74200i | ||||
\(17\) | −554.010 | −0.464938 | −0.232469 | − | 0.972604i | \(-0.574680\pi\) | ||||
−0.232469 | + | 0.972604i | \(0.574680\pi\) | |||||||
\(18\) | −1640.40 | − | 2056.99i | −1.19335 | − | 1.49641i | ||||
\(19\) | 10.6979 | + | 5.15182i | 0.00679851 | + | 0.00327399i | 0.437280 | − | 0.899325i | \(-0.355942\pi\) |
−0.430481 | + | 0.902599i | \(0.641656\pi\) | |||||||
\(20\) | −4597.07 | + | 5764.55i | −2.56984 | + | 3.22248i | ||||
\(21\) | −83.9807 | + | 105.308i | −0.0415558 | + | 0.0521093i | ||||
\(22\) | −264.528 | + | 127.390i | −0.116524 | + | 0.0561149i | ||||
\(23\) | 370.089 | + | 1621.47i | 0.145877 | + | 0.639129i | 0.994005 | + | 0.109337i | \(0.0348728\pi\) |
−0.848128 | + | 0.529792i | \(0.822270\pi\) | |||||||
\(24\) | 99.5047 | − | 435.959i | 0.0352627 | − | 0.154496i | ||||
\(25\) | −3838.61 | − | 1848.58i | −1.22835 | − | 0.591544i | ||||
\(26\) | 8020.91 | − | 3862.67i | 2.32697 | − | 1.12061i | ||||
\(27\) | −82.7278 | + | 362.454i | −0.0218395 | + | 0.0956850i | ||||
\(28\) | 15088.4 | 3.63704 | ||||||||
\(29\) | −4508.40 | + | 430.668i | −0.995468 | + | 0.0950927i | ||||
\(30\) | 714.369 | 0.144917 | ||||||||
\(31\) | 1029.85 | − | 4512.08i | 0.192474 | − | 0.843282i | −0.782799 | − | 0.622275i | \(-0.786209\pi\) |
0.975272 | − | 0.221007i | \(-0.0709343\pi\) | |||||||
\(32\) | −18284.7 | + | 8805.46i | −3.15656 | + | 1.52012i | ||||
\(33\) | 18.6671 | + | 8.98960i | 0.00298395 | + | 0.00143700i | ||||
\(34\) | 1337.99 | − | 5862.10i | 0.198497 | − | 0.869673i | ||||
\(35\) | 3363.13 | + | 14734.8i | 0.464059 | + | 2.03317i | ||||
\(36\) | 18738.2 | − | 9023.84i | 2.40975 | − | 1.16047i | ||||
\(37\) | −584.821 | + | 733.342i | −0.0702293 | + | 0.0880648i | −0.815705 | − | 0.578468i | \(-0.803651\pi\) |
0.745476 | + | 0.666533i | \(0.232222\pi\) | |||||||
\(38\) | −80.3490 | + | 100.754i | −0.00902654 | + | 0.0113189i | ||||
\(39\) | −566.017 | − | 272.579i | −0.0595893 | − | 0.0286967i | ||||
\(40\) | −31284.1 | − | 39229.1i | −3.09154 | − | 3.87666i | ||||
\(41\) | −2228.94 | −0.207080 | −0.103540 | − | 0.994625i | \(-0.533017\pi\) | ||||
−0.103540 | + | 0.994625i | \(0.533017\pi\) | |||||||
\(42\) | −911.471 | − | 1142.95i | −0.0797296 | − | 0.0999777i | ||||
\(43\) | 2404.61 | + | 10535.3i | 0.198323 | + | 0.868911i | 0.971935 | + | 0.235251i | \(0.0755912\pi\) |
−0.773611 | + | 0.633660i | \(0.781552\pi\) | |||||||
\(44\) | −516.452 | − | 2262.73i | −0.0402160 | − | 0.176198i | ||||
\(45\) | 12989.0 | + | 16287.7i | 0.956193 | + | 1.19903i | ||||
\(46\) | −18050.9 | −1.25778 | ||||||||
\(47\) | −1498.10 | − | 1878.56i | −0.0989230 | − | 0.124046i | 0.729906 | − | 0.683548i | \(-0.239564\pi\) |
−0.828829 | + | 0.559502i | \(0.810992\pi\) | |||||||
\(48\) | 2478.18 | + | 1193.43i | 0.155249 | + | 0.0747642i | ||||
\(49\) | 8804.78 | − | 11040.8i | 0.523876 | − | 0.656920i | ||||
\(50\) | 28830.8 | − | 36152.7i | 1.63092 | − | 2.04510i | ||||
\(51\) | −382.293 | + | 184.103i | −0.0205812 | + | 0.00991138i | ||||
\(52\) | 15659.7 | + | 68609.6i | 0.803109 | + | 3.51865i | ||||
\(53\) | −651.964 | + | 2856.44i | −0.0318811 | + | 0.139680i | −0.988364 | − | 0.152109i | \(-0.951393\pi\) |
0.956483 | + | 0.291789i | \(0.0942506\pi\) | |||||||
\(54\) | −3635.41 | − | 1750.72i | −0.169656 | − | 0.0817020i | ||||
\(55\) | 2094.59 | − | 1008.70i | 0.0933667 | − | 0.0449630i | ||||
\(56\) | −22848.4 | + | 100105.i | −0.973613 | + | 4.26568i | ||||
\(57\) | 9.09403 | 0.000370740 | ||||||||
\(58\) | 6331.22 | − | 48744.5i | 0.247125 | − | 1.90263i | ||||
\(59\) | −19070.4 | −0.713229 | −0.356614 | − | 0.934252i | \(-0.616069\pi\) | ||||
−0.356614 | + | 0.934252i | \(0.616069\pi\) | |||||||
\(60\) | −1256.59 | + | 5505.46i | −0.0450623 | + | 0.197431i | ||||
\(61\) | 27375.2 | − | 13183.2i | 0.941962 | − | 0.453625i | 0.101101 | − | 0.994876i | \(-0.467763\pi\) |
0.840861 | + | 0.541251i | \(0.182049\pi\) | |||||||
\(62\) | 45256.1 | + | 21794.2i | 1.49520 | + | 0.720049i | ||||
\(63\) | 9486.56 | − | 41563.3i | 0.301132 | − | 1.31935i | ||||
\(64\) | −23440.5 | − | 102700.i | −0.715349 | − | 3.13415i | ||||
\(65\) | −63511.4 | + | 30585.5i | −1.86452 | + | 0.897908i | ||||
\(66\) | −140.204 | + | 175.810i | −0.00396186 | + | 0.00496802i | ||||
\(67\) | −3024.86 | + | 3793.06i | −0.0823225 | + | 0.103229i | −0.821287 | − | 0.570515i | \(-0.806744\pi\) |
0.738965 | + | 0.673744i | \(0.235315\pi\) | |||||||
\(68\) | 42824.1 | + | 20623.0i | 1.12309 | + | 0.540854i | ||||
\(69\) | 794.207 | + | 995.904i | 0.0200822 | + | 0.0251823i | ||||
\(70\) | −164035. | −4.00120 | ||||||||
\(71\) | −46785.9 | − | 58667.6i | −1.10146 | − | 1.38119i | −0.917255 | − | 0.398300i | \(-0.869600\pi\) |
−0.184205 | − | 0.982888i | \(-0.558971\pi\) | |||||||
\(72\) | 31494.3 | + | 137985.i | 0.715979 | + | 3.13691i | ||||
\(73\) | 13666.4 | + | 59876.4i | 0.300156 | + | 1.31507i | 0.869892 | + | 0.493242i | \(0.164188\pi\) |
−0.569736 | + | 0.821828i | \(0.692955\pi\) | |||||||
\(74\) | −6347.26 | − | 7959.21i | −0.134743 | − | 0.168963i | ||||
\(75\) | −3263.12 | −0.0669853 | ||||||||
\(76\) | −635.153 | − | 796.457i | −0.0126138 | − | 0.0158171i | ||||
\(77\) | −4286.37 | − | 2064.21i | −0.0823877 | − | 0.0396758i | ||||
\(78\) | 4251.21 | − | 5330.84i | 0.0791181 | − | 0.0992109i | ||||
\(79\) | 57406.3 | − | 71985.3i | 1.03489 | − | 1.29770i | 0.0812648 | − | 0.996693i | \(-0.474104\pi\) |
0.953620 | − | 0.301012i | \(-0.0973245\pi\) | |||||||
\(80\) | 278071. | − | 133912.i | 4.85770 | − | 2.33934i | ||||
\(81\) | −13044.6 | − | 57151.9i | −0.220911 | − | 0.967873i | ||||
\(82\) | 5383.10 | − | 23584.9i | 0.0884093 | − | 0.387347i | ||||
\(83\) | 25116.4 | + | 12095.4i | 0.400186 | + | 0.192720i | 0.623142 | − | 0.782109i | \(-0.285856\pi\) |
−0.222955 | + | 0.974829i | \(0.571570\pi\) | |||||||
\(84\) | 10411.7 | − | 5014.01i | 0.160999 | − | 0.0775330i | ||||
\(85\) | −10594.5 | + | 46417.4i | −0.159049 | + | 0.696841i | ||||
\(86\) | −117284. | −1.70998 | ||||||||
\(87\) | −2967.89 | + | 1795.36i | −0.0420388 | + | 0.0254305i | ||||
\(88\) | 15794.4 | 0.217418 | ||||||||
\(89\) | 15242.4 | − | 66781.3i | 0.203976 | − | 0.893675i | −0.764511 | − | 0.644610i | \(-0.777020\pi\) |
0.968487 | − | 0.249065i | \(-0.0801233\pi\) | |||||||
\(90\) | −203714. | + | 98103.4i | −2.65103 | + | 1.27667i | ||||
\(91\) | 129970. | + | 62590.1i | 1.64528 | + | 0.792323i | ||||
\(92\) | 31751.8 | − | 139114.i | 0.391109 | − | 1.71356i | ||||
\(93\) | −788.759 | − | 3455.78i | −0.00945664 | − | 0.0414322i | ||||
\(94\) | 23495.6 | − | 11314.9i | 0.274262 | − | 0.132078i | ||||
\(95\) | 636.221 | − | 797.796i | 0.00723268 | − | 0.00906949i | ||||
\(96\) | −9691.19 | + | 12152.4i | −0.107325 | + | 0.134581i | ||||
\(97\) | −141126. | − | 67962.8i | −1.52292 | − | 0.733401i | −0.529544 | − | 0.848282i | \(-0.677637\pi\) |
−0.993379 | + | 0.114881i | \(0.963351\pi\) | |||||||
\(98\) | 95561.2 | + | 119830.i | 1.00512 | + | 1.26038i | ||||
\(99\) | −6557.75 | −0.0672460 | ||||||||
\(100\) | 227905. | + | 285784.i | 2.27905 | + | 2.85784i | ||||
\(101\) | −245.589 | − | 1076.00i | −0.00239556 | − | 0.0104956i | 0.973716 | − | 0.227766i | \(-0.0731420\pi\) |
−0.976112 | + | 0.217270i | \(0.930285\pi\) | |||||||
\(102\) | −1024.76 | − | 4489.75i | −0.00975259 | − | 0.0427289i | ||||
\(103\) | 78794.5 | + | 98805.2i | 0.731818 | + | 0.917671i | 0.998942 | − | 0.0459916i | \(-0.0146448\pi\) |
−0.267124 | + | 0.963662i | \(0.586073\pi\) | |||||||
\(104\) | −478911. | −4.34182 | ||||||||
\(105\) | 7217.23 | + | 9050.12i | 0.0638847 | + | 0.0801089i | ||||
\(106\) | −28650.1 | − | 13797.1i | −0.247663 | − | 0.119268i | ||||
\(107\) | 60540.4 | − | 75915.2i | 0.511194 | − | 0.641017i | −0.457519 | − | 0.889200i | \(-0.651262\pi\) |
0.968713 | + | 0.248183i | \(0.0798334\pi\) | |||||||
\(108\) | 19887.1 | − | 24937.6i | 0.164063 | − | 0.205729i | ||||
\(109\) | −147706. | + | 71131.6i | −1.19078 | + | 0.573451i | −0.921035 | − | 0.389480i | \(-0.872655\pi\) |
−0.269748 | + | 0.962931i | \(0.586941\pi\) | |||||||
\(110\) | 5614.66 | + | 24599.4i | 0.0442427 | + | 0.193840i | ||||
\(111\) | −159.858 | + | 700.382i | −0.00123148 | + | 0.00539545i | ||||
\(112\) | −569044. | − | 274037.i | −4.28648 | − | 2.06426i | ||||
\(113\) | −32842.1 | + | 15815.9i | −0.241955 | + | 0.116519i | −0.550932 | − | 0.834550i | \(-0.685728\pi\) |
0.308977 | + | 0.951070i | \(0.400013\pi\) | |||||||
\(114\) | −21.9629 | + | 96.2260i | −0.000158281 | + | 0.000693474i | ||||
\(115\) | 142931. | 1.00782 | ||||||||
\(116\) | 364524. | + | 134535.i | 2.51525 | + | 0.928306i | ||||
\(117\) | 198842. | 1.34290 | ||||||||
\(118\) | 46056.7 | − | 201788.i | 0.304500 | − | 1.33410i | ||||
\(119\) | 87782.7 | − | 42273.9i | 0.568252 | − | 0.273656i | ||||
\(120\) | −34623.7 | − | 16673.9i | −0.219493 | − | 0.105702i | ||||
\(121\) | 35674.4 | − | 156300.i | 0.221510 | − | 0.970498i | ||||
\(122\) | 73380.8 | + | 321502.i | 0.446357 | + | 1.95562i | ||||
\(123\) | −1538.07 | + | 740.698i | −0.00916673 | + | 0.00441447i | ||||
\(124\) | −247568. | + | 310441.i | −1.44591 | + | 1.81311i | ||||
\(125\) | −60844.3 | + | 76296.3i | −0.348293 | + | 0.436746i | ||||
\(126\) | 416880. | + | 200759.i | 2.33929 | + | 1.12654i | ||||
\(127\) | −100927. | − | 126559.i | −0.555263 | − | 0.696277i | 0.422411 | − | 0.906404i | \(-0.361184\pi\) |
−0.977674 | + | 0.210127i | \(0.932612\pi\) | |||||||
\(128\) | 493875. | 2.66435 | ||||||||
\(129\) | 5160.27 | + | 6470.77i | 0.0273022 | + | 0.0342359i | ||||
\(130\) | −170246. | − | 745895.i | −0.883522 | − | 3.87096i | ||||
\(131\) | 82930.6 | + | 363343.i | 0.422218 | + | 1.84986i | 0.519317 | + | 0.854582i | \(0.326186\pi\) |
−0.0970991 | + | 0.995275i | \(0.530956\pi\) | |||||||
\(132\) | −1108.30 | − | 1389.77i | −0.00553634 | − | 0.00694235i | ||||
\(133\) | −2088.19 | −0.0102362 | ||||||||
\(134\) | −32829.9 | − | 41167.3i | −0.157945 | − | 0.198057i | ||||
\(135\) | 28786.0 | + | 13862.6i | 0.135940 | + | 0.0654652i | ||||
\(136\) | −201674. | + | 252892.i | −0.934983 | + | 1.17243i | ||||
\(137\) | −204586. | + | 256543.i | −0.931270 | + | 1.16778i | 0.0543033 | + | 0.998524i | \(0.482706\pi\) |
−0.985573 | + | 0.169251i | \(0.945865\pi\) | |||||||
\(138\) | −12456.0 | + | 5998.48i | −0.0556775 | + | 0.0268129i | ||||
\(139\) | 13934.2 | + | 61049.7i | 0.0611709 | + | 0.268007i | 0.996260 | − | 0.0864054i | \(-0.0275380\pi\) |
−0.935089 | + | 0.354412i | \(0.884681\pi\) | |||||||
\(140\) | 288539. | − | 1.26417e6i | 1.24418 | − | 5.45112i | ||||
\(141\) | −1658.03 | − | 798.463i | −0.00702334 | − | 0.00338226i | ||||
\(142\) | 733767. | − | 353364.i | 3.05378 | − | 1.47062i | ||||
\(143\) | 4937.65 | − | 21633.2i | 0.0201920 | − | 0.0884670i | ||||
\(144\) | −870585. | −3.49869 | ||||||||
\(145\) | −50132.0 | + | 385970.i | −0.198014 | + | 1.52452i | ||||
\(146\) | −666571. | −2.58800 | ||||||||
\(147\) | 2406.74 | − | 10544.6i | 0.00918619 | − | 0.0402473i | ||||
\(148\) | 72504.4 | − | 34916.3i | 0.272089 | − | 0.131031i | ||||
\(149\) | −322180. | − | 155154.i | −1.18886 | − | 0.572527i | −0.268383 | − | 0.963312i | \(-0.586489\pi\) |
−0.920482 | + | 0.390785i | \(0.872203\pi\) | |||||||
\(150\) | 7880.74 | − | 34527.8i | 0.0285982 | − | 0.125297i | ||||
\(151\) | −38935.1 | − | 170586.i | −0.138963 | − | 0.608836i | −0.995664 | − | 0.0930228i | \(-0.970347\pi\) |
0.856701 | − | 0.515813i | \(-0.172510\pi\) | |||||||
\(152\) | 6245.99 | − | 3007.91i | 0.0219277 | − | 0.0105598i | ||||
\(153\) | 83734.3 | − | 105000.i | 0.289184 | − | 0.362626i | ||||
\(154\) | 32193.8 | − | 40369.7i | 0.109388 | − | 0.137168i | ||||
\(155\) | −358348. | − | 172571.i | −1.19805 | − | 0.576952i | ||||
\(156\) | 33605.5 | + | 42140.0i | 0.110560 | + | 0.138638i | ||||
\(157\) | −20207.3 | −0.0654274 | −0.0327137 | − | 0.999465i | \(-0.510415\pi\) | ||||
−0.0327137 | + | 0.999465i | \(0.510415\pi\) | |||||||
\(158\) | 623050. | + | 781280.i | 1.98555 | + | 2.48980i | ||||
\(159\) | 499.335 | + | 2187.73i | 0.00156639 | + | 0.00686279i | ||||
\(160\) | 388097. | + | 1.70037e6i | 1.19851 | + | 5.25100i | ||||
\(161\) | −182367. | − | 228681.i | −0.554475 | − | 0.695289i | ||||
\(162\) | 636241. | 1.90473 | ||||||||
\(163\) | −286909. | − | 359773.i | −0.845815 | − | 1.06062i | −0.997392 | − | 0.0721727i | \(-0.977007\pi\) |
0.151577 | − | 0.988445i | \(-0.451565\pi\) | |||||||
\(164\) | 172294. | + | 82972.4i | 0.500219 | + | 0.240893i | ||||
\(165\) | 1110.16 | − | 1392.10i | 0.00317451 | − | 0.00398072i | ||||
\(166\) | −188643. | + | 236551.i | −0.531337 | + | 0.666276i | ||||
\(167\) | 303292. | − | 146058.i | 0.841530 | − | 0.405260i | 0.0371035 | − | 0.999311i | \(-0.488187\pi\) |
0.804427 | + | 0.594052i | \(0.202473\pi\) | |||||||
\(168\) | 17499.5 | + | 76670.2i | 0.0478357 | + | 0.209582i | ||||
\(169\) | −67097.1 | + | 293971.i | −0.180712 | + | 0.791751i | ||||
\(170\) | −465566. | − | 224205.i | −1.23555 | − | 0.595008i | ||||
\(171\) | −2593.31 | + | 1248.87i | −0.00678209 | + | 0.00326608i | ||||
\(172\) | 206303. | − | 903874.i | 0.531723 | − | 2.32963i | ||||
\(173\) | −642789. | −1.63288 | −0.816438 | − | 0.577433i | \(-0.804055\pi\) | ||||
−0.816438 | + | 0.577433i | \(0.804055\pi\) | |||||||
\(174\) | −11829.4 | − | 35739.9i | −0.0296203 | − | 0.0894912i | ||||
\(175\) | 749282. | 1.84948 | ||||||||
\(176\) | −21618.4 | + | 94716.4i | −0.0526068 | + | 0.230485i | ||||
\(177\) | −13159.4 | + | 6337.25i | −0.0315722 | + | 0.0152043i | ||||
\(178\) | 669816. | + | 322566.i | 1.58455 | + | 0.763078i | ||||
\(179\) | −97542.8 | + | 427363.i | −0.227542 | + | 0.996929i | 0.724094 | + | 0.689702i | \(0.242258\pi\) |
−0.951636 | + | 0.307227i | \(0.900599\pi\) | |||||||
\(180\) | −397722. | − | 1.74253e6i | −0.914952 | − | 4.00867i | ||||
\(181\) | −18462.4 | + | 8891.01i | −0.0418881 | + | 0.0201723i | −0.454711 | − | 0.890639i | \(-0.650257\pi\) |
0.412822 | + | 0.910812i | \(0.364543\pi\) | |||||||
\(182\) | −976169. | + | 1.22408e6i | −2.18447 | + | 2.73924i | ||||
\(183\) | 14509.3 | − | 18194.1i | 0.0320272 | − | 0.0401608i | ||||
\(184\) | 874882. | + | 421321.i | 1.90504 | + | 0.917421i | ||||
\(185\) | 50259.0 | + | 63022.8i | 0.107965 | + | 0.135384i | ||||
\(186\) | 38471.3 | 0.0815369 | ||||||||
\(187\) | −9344.26 | − | 11717.3i | −0.0195407 | − | 0.0245033i | ||||
\(188\) | 45871.7 | + | 200977.i | 0.0946565 | + | 0.414717i | ||||
\(189\) | −14549.0 | − | 63743.3i | −0.0296264 | − | 0.129802i | ||||
\(190\) | 6905.12 | + | 8658.75i | 0.0138767 | + | 0.0174009i | ||||
\(191\) | −219622. | −0.435605 | −0.217802 | − | 0.975993i | \(-0.569889\pi\) | ||||
−0.217802 | + | 0.975993i | \(0.569889\pi\) | |||||||
\(192\) | −50303.1 | − | 63078.1i | −0.0984786 | − | 0.123488i | ||||
\(193\) | 114335. | + | 55060.8i | 0.220946 | + | 0.106402i | 0.541083 | − | 0.840969i | \(-0.318015\pi\) |
−0.320137 | + | 0.947371i | \(0.603729\pi\) | |||||||
\(194\) | 1.05996e6 | − | 1.32915e6i | 2.02202 | − | 2.53554i | ||||
\(195\) | −33662.0 | + | 42210.8i | −0.0633948 | + | 0.0794945i | ||||
\(196\) | −1.09159e6 | + | 525683.i | −2.02965 | + | 0.977426i | ||||
\(197\) | 38283.9 | + | 167733.i | 0.0702831 | + | 0.307930i | 0.997835 | − | 0.0657635i | \(-0.0209483\pi\) |
−0.927552 | + | 0.373694i | \(0.878091\pi\) | |||||||
\(198\) | 15837.6 | − | 69389.0i | 0.0287095 | − | 0.125785i | ||||
\(199\) | 204573. | + | 98517.0i | 0.366197 | + | 0.176351i | 0.607928 | − | 0.793992i | \(-0.292001\pi\) |
−0.241731 | + | 0.970343i | \(0.577715\pi\) | |||||||
\(200\) | −2.24119e6 | + | 1.07930e6i | −3.96189 | + | 1.90795i | ||||
\(201\) | −826.830 | + | 3622.58i | −0.00144353 | + | 0.00632452i | ||||
\(202\) | 11978.5 | 0.0206549 | ||||||||
\(203\) | 681492. | − | 412254.i | 1.16070 | − | 0.702142i | ||||
\(204\) | 36403.9 | 0.0612452 | ||||||||
\(205\) | −42624.6 | + | 186751.i | −0.0708396 | + | 0.310368i | ||||
\(206\) | −1.23578e6 | + | 595118.i | −2.02895 | + | 0.977091i | ||||
\(207\) | −363247. | − | 174931.i | −0.589218 | − | 0.283753i | ||||
\(208\) | 655506. | − | 2.87196e6i | 1.05055 | − | 4.60277i | ||||
\(209\) | 71.4754 | + | 313.154i | 0.000113186 | + | 0.000495898i | ||||
\(210\) | −113192. | + | 54510.2i | −0.177119 | + | 0.0852961i | ||||
\(211\) | 488453. | − | 612501.i | 0.755295 | − | 0.947110i | −0.244451 | − | 0.969662i | \(-0.578608\pi\) |
0.999746 | + | 0.0225517i | \(0.00717904\pi\) | |||||||
\(212\) | 156727. | − | 196529.i | 0.239499 | − | 0.300322i | ||||
\(213\) | −51780.2 | − | 24936.0i | −0.0782015 | − | 0.0376598i | ||||
\(214\) | 657065. | + | 823933.i | 0.980785 | + | 1.22987i | ||||
\(215\) | 928678. | 1.37015 | ||||||||
\(216\) | 135336. | + | 169706.i | 0.197369 | + | 0.247493i | ||||
\(217\) | 181116. | + | 793521.i | 0.261100 | + | 1.14396i | ||||
\(218\) | −395934. | − | 1.73470e6i | −0.564264 | − | 2.47220i | ||||
\(219\) | 29327.9 | + | 36776.1i | 0.0413210 | + | 0.0518150i | ||||
\(220\) | −199457. | −0.277839 | ||||||||
\(221\) | 283333. | + | 355289.i | 0.390227 | + | 0.489329i | ||||
\(222\) | −7024.82 | − | 3382.98i | −0.00956650 | − | 0.00460698i | ||||
\(223\) | −300241. | + | 376490.i | −0.404303 | + | 0.506980i | −0.941748 | − | 0.336319i | \(-0.890818\pi\) |
0.537445 | + | 0.843299i | \(0.319390\pi\) | |||||||
\(224\) | 2.22530e6 | − | 2.79044e6i | 2.96326 | − | 3.71581i | ||||
\(225\) | 930530. | − | 448120.i | 1.22539 | − | 0.590116i | ||||
\(226\) | −88035.0 | − | 385706.i | −0.114653 | − | 0.502326i | ||||
\(227\) | −103191. | + | 452109.i | −0.132916 | + | 0.582343i | 0.863974 | + | 0.503537i | \(0.167968\pi\) |
−0.996890 | + | 0.0788065i | \(0.974889\pi\) | |||||||
\(228\) | −702.955 | − | 338.525i | −0.000895551 | − | 0.000431275i | ||||
\(229\) | 138509. | − | 66702.5i | 0.174538 | − | 0.0840530i | −0.344575 | − | 0.938759i | \(-0.611977\pi\) |
0.519113 | + | 0.854706i | \(0.326263\pi\) | |||||||
\(230\) | −345192. | + | 1.51238e6i | −0.430270 | + | 1.88514i | ||||
\(231\) | −3643.75 | −0.00449281 | ||||||||
\(232\) | −1.44459e6 | + | 2.21475e6i | −1.76208 | + | 2.70150i | ||||
\(233\) | −62645.9 | −0.0755967 | −0.0377983 | − | 0.999285i | \(-0.512034\pi\) | ||||
−0.0377983 | + | 0.999285i | \(0.512034\pi\) | |||||||
\(234\) | −480222. | + | 2.10399e6i | −0.573326 | + | 2.51191i | ||||
\(235\) | −186043. | + | 89593.6i | −0.219758 | + | 0.105830i | ||||
\(236\) | 1.47411e6 | + | 709894.i | 1.72286 | + | 0.829685i | ||||
\(237\) | 15691.7 | − | 68749.9i | 0.0181468 | − | 0.0795062i | ||||
\(238\) | 235306. | + | 1.03094e6i | 0.269272 | + | 1.17976i | ||||
\(239\) | 345520. | − | 166394.i | 0.391272 | − | 0.188427i | −0.227896 | − | 0.973686i | \(-0.573184\pi\) |
0.619168 | + | 0.785259i | \(0.287470\pi\) | |||||||
\(240\) | 147382. | − | 184811.i | 0.165164 | − | 0.207109i | ||||
\(241\) | 704854. | − | 883859.i | 0.781730 | − | 0.980258i | −0.218261 | − | 0.975891i | \(-0.570038\pi\) |
0.999990 | − | 0.00436765i | \(-0.00139027\pi\) | |||||||
\(242\) | 1.56768e6 | + | 754957.i | 1.72076 | + | 0.828674i | ||||
\(243\) | −84320.4 | − | 105734.i | −0.0916045 | − | 0.114868i | ||||
\(244\) | −2.60681e6 | −2.80308 | ||||||||
\(245\) | −756675. | − | 948841.i | −0.805368 | − | 1.00990i | ||||
\(246\) | −4122.89 | − | 18063.6i | −0.00434374 | − | 0.0190312i | ||||
\(247\) | −2167.25 | − | 9495.35i | −0.00226031 | − | 0.00990304i | ||||
\(248\) | −1.68476e6 | − | 2.11262e6i | −1.73944 | − | 2.18119i | ||||
\(249\) | 21350.9 | 0.0218232 | ||||||||
\(250\) | −660363. | − | 828069.i | −0.668241 | − | 0.837947i | ||||
\(251\) | −1.56470e6 | − | 753520.i | −1.56764 | − | 0.754937i | −0.569876 | − | 0.821731i | \(-0.693009\pi\) |
−0.997767 | + | 0.0667939i | \(0.978723\pi\) | |||||||
\(252\) | −2.28049e6 | + | 2.85965e6i | −2.26218 | + | 2.83668i | ||||
\(253\) | −28052.0 | + | 35176.0i | −0.0275525 | + | 0.0345498i | ||||
\(254\) | 1.58289e6 | − | 762281.i | 1.53946 | − | 0.741363i | ||||
\(255\) | 8114.25 | + | 35550.8i | 0.00781444 | + | 0.0342373i | ||||
\(256\) | −442657. | + | 1.93941e6i | −0.422151 | + | 1.84956i | ||||
\(257\) | −902312. | − | 434530.i | −0.852165 | − | 0.410381i | −0.0437843 | − | 0.999041i | \(-0.513941\pi\) |
−0.808381 | + | 0.588660i | \(0.799656\pi\) | |||||||
\(258\) | −80931.2 | + | 38974.4i | −0.0756949 | + | 0.0364527i | ||||
\(259\) | 36706.7 | − | 160823.i | 0.0340014 | − | 0.148970i | ||||
\(260\) | 6.04788e6 | 5.54843 | ||||||||
\(261\) | 599787. | − | 919553.i | 0.544999 | − | 0.835556i | ||||
\(262\) | −4.04489e6 | −3.64044 | ||||||||
\(263\) | −362876. | + | 1.58986e6i | −0.323496 | + | 1.41733i | 0.507788 | + | 0.861482i | \(0.330463\pi\) |
−0.831284 | + | 0.555847i | \(0.812394\pi\) | |||||||
\(264\) | 10898.9 | − | 5248.61i | 0.00962434 | − | 0.00463484i | ||||
\(265\) | 226857. | + | 109249.i | 0.198444 | + | 0.0955657i | ||||
\(266\) | 5043.16 | − | 22095.5i | 0.00437018 | − | 0.0191470i | ||||
\(267\) | −11674.1 | − | 51147.4i | −0.0100218 | − | 0.0439082i | ||||
\(268\) | 375014. | − | 180597.i | 0.318941 | − | 0.153594i | ||||
\(269\) | 663073. | − | 831467.i | 0.558703 | − | 0.700591i | −0.419615 | − | 0.907702i | \(-0.637835\pi\) |
0.978317 | + | 0.207111i | \(0.0664062\pi\) | |||||||
\(270\) | −216204. | + | 271111.i | −0.180491 | + | 0.226328i | ||||
\(271\) | −781409. | − | 376307.i | −0.646332 | − | 0.311257i | 0.0818464 | − | 0.996645i | \(-0.473918\pi\) |
−0.728178 | + | 0.685388i | \(0.759633\pi\) | |||||||
\(272\) | −1.24051e6 | − | 1.55555e6i | −1.01667 | − | 1.27486i | ||||
\(273\) | 110484. | 0.0897211 | ||||||||
\(274\) | −2.22045e6 | − | 2.78435e6i | −1.78675 | − | 2.24051i | ||||
\(275\) | −25646.8 | − | 112366.i | −0.0204504 | − | 0.0895989i | ||||
\(276\) | −24318.5 | − | 106546.i | −0.0192160 | − | 0.0841910i | ||||
\(277\) | 781007. | + | 979352.i | 0.611583 | + | 0.766901i | 0.987133 | − | 0.159901i | \(-0.0511175\pi\) |
−0.375550 | + | 0.926802i | \(0.622546\pi\) | |||||||
\(278\) | −679632. | −0.527426 | ||||||||
\(279\) | 699505. | + | 877151.i | 0.537997 | + | 0.674627i | ||||
\(280\) | 7.95035e6 | + | 3.82869e6i | 6.06026 | + | 2.91847i | ||||
\(281\) | −500936. | + | 628154.i | −0.378457 | + | 0.474570i | −0.934182 | − | 0.356796i | \(-0.883869\pi\) |
0.555725 | + | 0.831366i | \(0.312441\pi\) | |||||||
\(282\) | 12453.0 | − | 15615.6i | 0.00932505 | − | 0.0116932i | ||||
\(283\) | −1.08034e6 | + | 520265.i | −0.801853 | + | 0.386152i | −0.789484 | − | 0.613771i | \(-0.789652\pi\) |
−0.0123693 | + | 0.999923i | \(0.503937\pi\) | |||||||
\(284\) | 1.43258e6 | + | 6.27652e6i | 1.05395 | + | 4.61767i | ||||
\(285\) | 173.907 | − | 761.939i | 0.000126825 | − | 0.000555658i | ||||
\(286\) | 216981. | + | 104493.i | 0.156858 | + | 0.0755389i | ||||
\(287\) | 353175. | − | 170080.i | 0.253096 | − | 0.121885i | ||||
\(288\) | 1.09473e6 | − | 4.79632e6i | 0.777723 | − | 3.40743i | ||||
\(289\) | −1.11293e6 | −0.783832 | ||||||||
\(290\) | −3.96296e6 | − | 1.46261e6i | −2.76710 | − | 1.02125i | ||||
\(291\) | −119968. | −0.0830489 | ||||||||
\(292\) | 1.17251e6 | − | 5.13709e6i | 0.804745 | − | 3.52582i | ||||
\(293\) | −463510. | + | 223215.i | −0.315421 | + | 0.151899i | −0.584895 | − | 0.811109i | \(-0.698864\pi\) |
0.269474 | + | 0.963008i | \(0.413150\pi\) | |||||||
\(294\) | 105762. | + | 50932.5i | 0.0713613 | + | 0.0343658i | ||||
\(295\) | −364687. | + | 1.59780e6i | −0.243986 | + | 1.06897i | ||||
\(296\) | 121862. | + | 533913.i | 0.0808424 | + | 0.354194i | ||||
\(297\) | −9061.26 | + | 4363.67i | −0.00596070 | + | 0.00287052i | ||||
\(298\) | 2.41981e6 | − | 3.03434e6i | 1.57848 | − | 1.97936i | ||||
\(299\) | 850581. | − | 1.06660e6i | 0.550222 | − | 0.689956i | ||||
\(300\) | 252234. | + | 121470.i | 0.161808 | + | 0.0779227i | ||||
\(301\) | −1.18491e6 | − | 1.48583e6i | −0.753821 | − | 0.945262i | ||||
\(302\) | 1.89904e6 | 1.19816 | ||||||||
\(303\) | −527.032 | − | 660.877i | −0.000329785 | − | 0.000413537i | ||||
\(304\) | 9488.84 | + | 41573.3i | 0.00588883 | + | 0.0258007i | ||||
\(305\) | −581045. | − | 2.54573e6i | −0.357652 | − | 1.56697i | ||||
\(306\) | 908797. | + | 1.13960e6i | 0.554834 | + | 0.695740i | ||||
\(307\) | 2.39552e6 | 1.45062 | 0.725309 | − | 0.688423i | \(-0.241697\pi\) | ||||
0.725309 | + | 0.688423i | \(0.241697\pi\) | |||||||
\(308\) | 254490. | + | 319120.i | 0.152860 | + | 0.191680i | ||||
\(309\) | 87205.8 | + | 41996.1i | 0.0519576 | + | 0.0250215i | ||||
\(310\) | 2.69146e6 | − | 3.37498e6i | 1.59068 | − | 1.99465i | ||||
\(311\) | −559787. | + | 701951.i | −0.328187 | + | 0.411534i | −0.918362 | − | 0.395742i | \(-0.870488\pi\) |
0.590174 | + | 0.807276i | \(0.299059\pi\) | |||||||
\(312\) | −330471. | + | 159147.i | −0.192197 | + | 0.0925573i | ||||
\(313\) | 460650. | + | 2.01824e6i | 0.265772 | + | 1.16442i | 0.914879 | + | 0.403728i | \(0.132286\pi\) |
−0.649107 | + | 0.760697i | \(0.724857\pi\) | |||||||
\(314\) | 48802.6 | − | 213818.i | 0.0279331 | − | 0.122383i | ||||
\(315\) | −3.30095e6 | − | 1.58965e6i | −1.87440 | − | 0.902663i | ||||
\(316\) | −7.11708e6 | + | 3.42740e6i | −4.00944 | + | 1.93085i | ||||
\(317\) | −295086. | + | 1.29286e6i | −0.164931 | + | 0.722608i | 0.823042 | + | 0.567980i | \(0.192275\pi\) |
−0.987973 | + | 0.154628i | \(0.950582\pi\) | |||||||
\(318\) | −24354.8 | −0.0135057 | ||||||||
\(319\) | −85150.0 | − | 88089.0i | −0.0468498 | − | 0.0484669i | ||||
\(320\) | −9.05290e6 | −4.94211 | ||||||||
\(321\) | 16548.4 | − | 72503.2i | 0.00896381 | − | 0.0392730i | ||||
\(322\) | 2.86016e6 | − | 1.37738e6i | 1.53727 | − | 0.740310i | ||||
\(323\) | −5926.73 | − | 2854.16i | −0.00316089 | − | 0.00152220i | ||||
\(324\) | −1.11916e6 | + | 4.90334e6i | −0.592282 | + | 2.59496i | ||||
\(325\) | 777653. | + | 3.40712e6i | 0.408392 | + | 1.78928i | ||||
\(326\) | 4.49974e6 | − | 2.16696e6i | 2.34501 | − | 1.12930i | ||||
\(327\) | −78286.6 | + | 98168.3i | −0.0404872 | + | 0.0507694i | ||||
\(328\) | −811395. | + | 1.01746e6i | −0.416435 | + | 0.522193i | ||||
\(329\) | 380718. | + | 183344.i | 0.193916 | + | 0.0933851i | ||||
\(330\) | 12049.0 | + | 15108.9i | 0.00609068 | + | 0.00763747i | ||||
\(331\) | −2.03266e6 | −1.01975 | −0.509876 | − | 0.860248i | \(-0.670309\pi\) | ||||
−0.509876 | + | 0.860248i | \(0.670309\pi\) | |||||||
\(332\) | −1.49121e6 | − | 1.86992e6i | −0.742494 | − | 0.931059i | ||||
\(333\) | −50596.6 | − | 221678.i | −0.0250041 | − | 0.109550i | ||||
\(334\) | 812990. | + | 3.56194e6i | 0.398767 | + | 1.74711i | ||||
\(335\) | 259954. | + | 325972.i | 0.126557 | + | 0.158697i | ||||
\(336\) | −483732. | −0.233753 | ||||||||
\(337\) | 1.23047e6 | + | 1.54296e6i | 0.590197 | + | 0.740084i | 0.983814 | − | 0.179191i | \(-0.0573479\pi\) |
−0.393617 | + | 0.919274i | \(0.628776\pi\) | |||||||
\(338\) | −2.94853e6 | − | 1.41994e6i | −1.40383 | − | 0.676048i | ||||
\(339\) | −17406.8 | + | 21827.5i | −0.00822659 | + | 0.0103158i | ||||
\(340\) | 2.54683e6 | − | 3.19362e6i | 1.19482 | − | 1.49825i | ||||
\(341\) | 112801. | − | 54322.0i | 0.0525323 | − | 0.0252982i | ||||
\(342\) | −6951.50 | − | 30456.5i | −0.00321376 | − | 0.0140804i | ||||
\(343\) | 105083. | − | 460399.i | 0.0482278 | − | 0.211300i | ||||
\(344\) | 5.68444e6 | + | 2.73748e6i | 2.58995 | + | 1.24726i | ||||
\(345\) | 98629.1 | − | 47497.3i | 0.0446126 | − | 0.0214843i | ||||
\(346\) | 1.55240e6 | − | 6.80149e6i | 0.697128 | − | 3.05432i | ||||
\(347\) | 2.70370e6 | 1.20541 | 0.602705 | − | 0.797964i | \(-0.294090\pi\) | ||||
0.602705 | + | 0.797964i | \(0.294090\pi\) | |||||||
\(348\) | 296246. | − | 28299.1i | 0.131131 | − | 0.0125263i | ||||
\(349\) | 3.38561e6 | 1.48790 | 0.743948 | − | 0.668237i | \(-0.232951\pi\) | ||||
0.743948 | + | 0.668237i | \(0.232951\pi\) | |||||||
\(350\) | −1.80959e6 | + | 7.92832e6i | −0.789604 | + | 3.45948i | ||||
\(351\) | 274752. | − | 132314.i | 0.119035 | − | 0.0573241i | ||||
\(352\) | −494637. | − | 238205.i | −0.212780 | − | 0.102469i | ||||
\(353\) | 576948. | − | 2.52777e6i | 0.246434 | − | 1.07970i | −0.688601 | − | 0.725140i | \(-0.741775\pi\) |
0.935035 | − | 0.354556i | \(-0.115368\pi\) | |||||||
\(354\) | −35274.6 | − | 154548.i | −0.0149608 | − | 0.0655473i | ||||
\(355\) | −5.81013e6 | + | 2.79801e6i | −2.44689 | + | 1.17836i | ||||
\(356\) | −3.66415e6 | + | 4.59470e6i | −1.53231 | + | 1.92146i | ||||
\(357\) | 46526.1 | − | 58341.9i | 0.0193209 | − | 0.0242276i | ||||
\(358\) | −4.28644e6 | − | 2.06424e6i | −1.76762 | − | 0.851242i | ||||
\(359\) | 1.66524e6 | + | 2.08815e6i | 0.681932 | + | 0.855115i | 0.995531 | − | 0.0944402i | \(-0.0301061\pi\) |
−0.313599 | + | 0.949556i | \(0.601535\pi\) | |||||||
\(360\) | 1.21633e7 | 4.94647 | ||||||||
\(361\) | −1.54373e6 | − | 1.93578e6i | −0.623454 | − | 0.781787i | ||||
\(362\) | −49489.4 | − | 216827.i | −0.0198491 | − | 0.0869645i | ||||
\(363\) | −27322.8 | − | 119709.i | −0.0108833 | − | 0.0476826i | ||||
\(364\) | −7.71655e6 | − | 9.67624e6i | −3.05260 | − | 3.82784i | ||||
\(365\) | 5.27806e6 | 2.07368 | ||||||||
\(366\) | 157474. | + | 197466.i | 0.0614479 | + | 0.0770532i | ||||
\(367\) | −193952. | − | 93402.2i | −0.0751672 | − | 0.0361986i | 0.395922 | − | 0.918284i | \(-0.370425\pi\) |
−0.471090 | + | 0.882085i | \(0.656139\pi\) | |||||||
\(368\) | −3.72408e6 | + | 4.66985e6i | −1.43351 | + | 1.79756i | ||||
\(369\) | 336887. | − | 422443.i | 0.128801 | − | 0.161511i | ||||
\(370\) | −788238. | + | 379595.i | −0.299332 | + | 0.144151i | ||||
\(371\) | −114658. | − | 502350.i | −0.0432484 | − | 0.189484i | ||||
\(372\) | −67671.5 | + | 296488.i | −0.0253541 | + | 0.111084i | ||||
\(373\) | 3.68520e6 | + | 1.77470e6i | 1.37148 | + | 0.660469i | 0.967164 | − | 0.254151i | \(-0.0817962\pi\) |
0.404314 | + | 0.914620i | \(0.367510\pi\) | |||||||
\(374\) | 146551. | − | 70575.2i | 0.0541763 | − | 0.0260900i | ||||
\(375\) | −16631.4 | + | 72867.1i | −0.00610734 | + | 0.0267580i | ||||
\(376\) | −1.40287e6 | −0.511737 | ||||||||
\(377\) | 2.58189e6 | + | 2.67100e6i | 0.935587 | + | 0.967879i | ||||
\(378\) | 709619. | 0.255444 | ||||||||
\(379\) | −309497. | + | 1.35599e6i | −0.110677 | + | 0.484909i | 0.888960 | + | 0.457984i | \(0.151428\pi\) |
−0.999637 | + | 0.0269243i | \(0.991429\pi\) | |||||||
\(380\) | −78876.9 | + | 37985.1i | −0.0280215 | + | 0.0134944i | ||||
\(381\) | −111701. | − | 53792.4i | −0.0394225 | − | 0.0189849i | ||||
\(382\) | 530408. | − | 2.32387e6i | 0.185974 | − | 0.814805i | ||||
\(383\) | −197489. | − | 865254.i | −0.0687931 | − | 0.301402i | 0.928813 | − | 0.370548i | \(-0.120830\pi\) |
−0.997607 | + | 0.0691452i | \(0.977973\pi\) | |||||||
\(384\) | 340797. | − | 164119.i | 0.117942 | − | 0.0567977i | ||||
\(385\) | −254918. | + | 319656.i | −0.0876492 | + | 0.109909i | ||||
\(386\) | −858739. | + | 1.07683e6i | −0.293355 | + | 0.367855i | ||||
\(387\) | −2.36015e6 | − | 1.13659e6i | −0.801056 | − | 0.385768i | ||||
\(388\) | 8.37892e6 | + | 1.05068e7i | 2.82559 | + | 3.54318i | ||||
\(389\) | −3.95319e6 | −1.32457 | −0.662284 | − | 0.749253i | \(-0.730413\pi\) | ||||
−0.662284 | + | 0.749253i | \(0.730413\pi\) | |||||||
\(390\) | −365345. | − | 458128.i | −0.121630 | − | 0.152520i | ||||
\(391\) | −205033. | − | 898309.i | −0.0678238 | − | 0.297155i | ||||
\(392\) | −1.83470e6 | − | 8.03833e6i | −0.603044 | − | 2.64211i | ||||
\(393\) | 177968. | + | 223165.i | 0.0581247 | + | 0.0728860i | ||||
\(394\) | −1.86728e6 | −0.605994 | ||||||||
\(395\) | −4.93345e6 | − | 6.18635e6i | −1.59096 | − | 1.99499i | ||||
\(396\) | 506904. | + | 244112.i | 0.162438 | + | 0.0782261i | ||||
\(397\) | 1.42114e6 | − | 1.78205e6i | 0.452542 | − | 0.567470i | −0.502258 | − | 0.864718i | \(-0.667497\pi\) |
0.954800 | + | 0.297248i | \(0.0960687\pi\) | |||||||
\(398\) | −1.53649e6 | + | 1.92670e6i | −0.486209 | + | 0.609687i | ||||
\(399\) | −1440.95 | + | 693.923i | −0.000453122 | + | 0.000218212i | ||||
\(400\) | −3.40478e6 | − | 1.49173e7i | −1.06399 | − | 4.66166i | ||||
\(401\) | 554519. | − | 2.42951e6i | 0.172209 | − | 0.754496i | −0.812877 | − | 0.582435i | \(-0.802100\pi\) |
0.985086 | − | 0.172061i | \(-0.0550427\pi\) | |||||||
\(402\) | −36334.4 | − | 17497.7i | −0.0112138 | − | 0.00540028i | ||||
\(403\) | −3.42031e6 | + | 1.64713e6i | −1.04907 | + | 0.505203i | ||||
\(404\) | −21070.3 | + | 92315.1i | −0.00642270 | + | 0.0281397i | ||||
\(405\) | −5.03790e6 | −1.52620 | ||||||||
\(406\) | 2.71628e6 | + | 8.20665e6i | 0.817824 | + | 2.47087i | ||||
\(407\) | −25374.2 | −0.00759286 | ||||||||
\(408\) | −55126.6 | + | 241525.i | −0.0163950 | + | 0.0718311i | ||||
\(409\) | −1.96789e6 | + | 947684.i | −0.581690 | + | 0.280127i | −0.701500 | − | 0.712670i | \(-0.747486\pi\) |
0.119809 | + | 0.992797i | \(0.461772\pi\) | |||||||
\(410\) | −1.87311e6 | − | 902041.i | −0.550304 | − | 0.265013i | ||||
\(411\) | −55922.6 | + | 245013.i | −0.0163299 | + | 0.0715458i | ||||
\(412\) | −2.41268e6 | − | 1.05706e7i | −0.700254 | − | 3.06802i | ||||
\(413\) | 3.02169e6 | − | 1.45517e6i | 0.871716 | − | 0.419796i | ||||
\(414\) | 2.72825e6 | − | 3.42112e6i | 0.782319 | − | 0.980997i | ||||
\(415\) | 1.49372e6 | − | 1.87306e6i | 0.425743 | − | 0.533865i | ||||
\(416\) | 1.49982e7 | + | 7.22276e6i | 4.24919 | + | 2.04630i | ||||
\(417\) | 29902.6 | + | 37496.7i | 0.00842110 | + | 0.0105597i | ||||
\(418\) | −3486.17 | −0.000975907 | ||||||||
\(419\) | 2.59080e6 | + | 3.24877e6i | 0.720941 | + | 0.904031i | 0.998391 | − | 0.0567092i | \(-0.0180608\pi\) |
−0.277450 | + | 0.960740i | \(0.589489\pi\) | |||||||
\(420\) | −220990. | − | 968222.i | −0.0611294 | − | 0.267825i | ||||
\(421\) | −667064. | − | 2.92260e6i | −0.183427 | − | 0.803645i | −0.979983 | − | 0.199081i | \(-0.936204\pi\) |
0.796556 | − | 0.604564i | \(-0.206653\pi\) | |||||||
\(422\) | 5.30134e6 | + | 6.64767e6i | 1.44912 | + | 1.81714i | ||||
\(423\) | 582464. | 0.158277 | ||||||||
\(424\) | 1.06656e6 | + | 1.33743e6i | 0.288119 | + | 0.361289i | ||||
\(425\) | 2.12663e6 | + | 1.02413e6i | 0.571109 | + | 0.275032i | ||||
\(426\) | 388908. | − | 487675.i | 0.103830 | − | 0.130199i | ||||
\(427\) | −3.33165e6 | + | 4.17775e6i | −0.884279 | + | 1.10885i | ||||
\(428\) | −7.50562e6 | + | 3.61452e6i | −1.98051 | + | 0.953764i | ||||
\(429\) | −3781.71 | − | 16568.8i | −0.000992077 | − | 0.00434657i | ||||
\(430\) | −2.24284e6 | + | 9.82654e6i | −0.584962 | + | 2.56289i | ||||
\(431\) | −1.51437e6 | − | 729280.i | −0.392679 | − | 0.189104i | 0.227116 | − | 0.973868i | \(-0.427070\pi\) |
−0.619796 | + | 0.784763i | \(0.712784\pi\) | |||||||
\(432\) | −1.20294e6 | + | 579307.i | −0.310124 | + | 0.149348i | ||||
\(433\) | 1.29982e6 | − | 5.69486e6i | 0.333167 | − | 1.45970i | −0.479793 | − | 0.877381i | \(-0.659288\pi\) |
0.812961 | − | 0.582319i | \(-0.197854\pi\) | |||||||
\(434\) | −8.83383e6 | −2.25126 | ||||||||
\(435\) | 93667.7 | + | 282996.i | 0.0237338 | + | 0.0717064i | ||||
\(436\) | 1.40654e7 | 3.54352 | ||||||||
\(437\) | −4394.35 | + | 19252.9i | −0.00110075 | + | 0.00482272i | ||||
\(438\) | −459965. | + | 221508.i | −0.114562 | + | 0.0551701i | ||||
\(439\) | 6.34241e6 | + | 3.05434e6i | 1.57070 | + | 0.756408i | 0.997991 | − | 0.0633519i | \(-0.0201791\pi\) |
0.572707 | + | 0.819760i | \(0.305893\pi\) | |||||||
\(440\) | 302040. | − | 1.32332e6i | 0.0743759 | − | 0.325862i | ||||
\(441\) | 761758. | + | 3.33748e6i | 0.186518 | + | 0.817188i | ||||
\(442\) | −4.44367e6 | + | 2.13996e6i | −1.08190 | + | 0.521014i | ||||
\(443\) | 1.36584e6 | − | 1.71272e6i | 0.330668 | − | 0.414644i | −0.588508 | − | 0.808491i | \(-0.700285\pi\) |
0.919176 | + | 0.393847i | \(0.128856\pi\) | |||||||
\(444\) | 38428.5 | − | 48187.8i | 0.00925115 | − | 0.0116006i | ||||
\(445\) | −5.30375e6 | − | 2.55415e6i | −1.26965 | − | 0.611430i | ||||
\(446\) | −3.25861e6 | − | 4.08617e6i | −0.775703 | − | 0.972701i | ||||
\(447\) | −273878. | −0.0648318 | ||||||||
\(448\) | 1.15507e7 | + | 1.44841e7i | 2.71902 | + | 3.40954i | ||||
\(449\) | −1.52425e6 | − | 6.67819e6i | −0.356813 | − | 1.56330i | −0.761079 | − | 0.648659i | \(-0.775330\pi\) |
0.404266 | − | 0.914642i | \(-0.367527\pi\) | |||||||
\(450\) | 2.49433e6 | + | 1.09284e7i | 0.580662 | + | 2.54405i | ||||
\(451\) | −37594.7 | − | 47142.2i | −0.00870332 | − | 0.0109136i | ||||
\(452\) | 3.12739e6 | 0.720006 | ||||||||
\(453\) | −83554.2 | − | 104774.i | −0.0191303 | − | 0.0239887i | ||||
\(454\) | −4.53465e6 | − | 2.18377e6i | −1.03253 | − | 0.497242i | ||||
\(455\) | 7.72952e6 | − | 9.69251e6i | 1.75035 | − | 2.19487i | ||||
\(456\) | 3310.47 | − | 4151.20i | 0.000745552 | − | 0.000934892i | ||||
\(457\) | −5.64998e6 | + | 2.72089e6i | −1.26548 | + | 0.609424i | −0.941619 | − | 0.336680i | \(-0.890696\pi\) |
−0.323863 | + | 0.946104i | \(0.604982\pi\) | |||||||
\(458\) | 371281. | + | 1.62669e6i | 0.0827064 | + | 0.362360i | ||||
\(459\) | 45832.0 | − | 200803.i | 0.0101540 | − | 0.0444876i | ||||
\(460\) | −1.10484e7 | − | 5.32061e6i | −2.43446 | − | 1.17238i | ||||
\(461\) | 5.98889e6 | − | 2.88410e6i | 1.31248 | − | 0.632059i | 0.358953 | − | 0.933355i | \(-0.383134\pi\) |
0.953531 | + | 0.301296i | \(0.0974194\pi\) | |||||||
\(462\) | 8799.99 | − | 38555.3i | 0.00191813 | − | 0.00840386i | ||||
\(463\) | 8.73922e6 | 1.89461 | 0.947306 | − | 0.320331i | \(-0.103794\pi\) | ||||
0.947306 | + | 0.320331i | \(0.103794\pi\) | |||||||
\(464\) | −1.13042e7 | − | 1.16944e7i | −2.43751 | − | 2.52164i | ||||
\(465\) | −304624. | −0.0653329 | ||||||||
\(466\) | 151296. | − | 662870.i | 0.0322747 | − | 0.141405i | ||||
\(467\) | −5.99474e6 | + | 2.88692e6i | −1.27197 | + | 0.612550i | −0.943315 | − | 0.331898i | \(-0.892311\pi\) |
−0.328659 | + | 0.944449i | \(0.606597\pi\) | |||||||
\(468\) | −1.53702e7 | − | 7.40188e6i | −3.24387 | − | 1.56217i | ||||
\(469\) | 189858. | − | 831822.i | 0.0398563 | − | 0.174622i | ||||
\(470\) | −498698. | − | 2.18494e6i | −0.104134 | − | 0.456241i | ||||
\(471\) | −13944.0 | + | 6715.08i | −0.00289624 | + | 0.00139476i | ||||
\(472\) | −6.94212e6 | + | 8.70514e6i | −1.43429 | + | 1.79854i | ||||
\(473\) | −182264. | + | 228552.i | −0.0374584 | + | 0.0469713i | ||||
\(474\) | 689560. | + | 332075.i | 0.140970 | + | 0.0678875i | ||||
\(475\) | −31541.4 | − | 39551.7i | −0.00641427 | − | 0.00804323i | ||||
\(476\) | −8.35911e6 | −1.69100 | ||||||||
\(477\) | −442831. | − | 555293.i | −0.0891133 | − | 0.111745i | ||||
\(478\) | 926185. | + | 4.05788e6i | 0.185408 | + | 0.812325i | ||||
\(479\) | 1.37769e6 | + | 6.03607e6i | 0.274356 | + | 1.20203i | 0.904814 | + | 0.425807i | \(0.140010\pi\) |
−0.630458 | + | 0.776223i | \(0.717133\pi\) | |||||||
\(480\) | 832852. | + | 1.04436e6i | 0.164993 | + | 0.206894i | ||||
\(481\) | 769386. | 0.151629 | ||||||||
\(482\) | 7.65002e6 | + | 9.59282e6i | 1.49984 | + | 1.88074i | ||||
\(483\) | −201835. | − | 97198.4i | −0.0393666 | − | 0.0189579i | ||||
\(484\) | −8.57583e6 | + | 1.07538e7i | −1.66404 | + | 2.08664i | ||||
\(485\) | −8.39301e6 | + | 1.05245e7i | −1.62018 | + | 2.03164i | ||||
\(486\) | 1.32244e6 | − | 636854.i | 0.253972 | − | 0.122306i | ||||
\(487\) | 953778. | + | 4.17877e6i | 0.182232 | + | 0.798411i | 0.980565 | + | 0.196195i | \(0.0628584\pi\) |
−0.798333 | + | 0.602216i | \(0.794284\pi\) | |||||||
\(488\) | 3.94751e6 | − | 1.72952e7i | 0.750367 | − | 3.28757i | ||||
\(489\) | −317536. | − | 152917.i | −0.0600512 | − | 0.0289191i | ||||
\(490\) | 1.18673e7 | − | 5.71501e6i | 2.23287 | − | 1.07529i | ||||
\(491\) | −849530. | + | 3.72203e6i | −0.159028 | + | 0.696749i | 0.831046 | + | 0.556204i | \(0.187743\pi\) |
−0.990074 | + | 0.140545i | \(0.955114\pi\) | |||||||
\(492\) | 146463. | 0.0272782 | ||||||||
\(493\) | 2.49770e6 | − | 238594.i | 0.462831 | − | 0.0442123i | ||||
\(494\) | 105707. | 0.0194888 | ||||||||
\(495\) | −125405. | + | 549437.i | −0.0230040 | + | 0.100787i | ||||
\(496\) | 1.49751e7 | − | 7.21161e6i | 2.73316 | − | 1.31622i | ||||
\(497\) | 1.18899e7 | + | 5.72585e6i | 2.15916 | + | 1.03980i | ||||
\(498\) | −51564.5 | + | 225919.i | −0.00931702 | + | 0.0408206i | ||||
\(499\) | 1.52662e6 | + | 6.68857e6i | 0.274461 | + | 1.20249i | 0.904686 | + | 0.426079i | \(0.140105\pi\) |
−0.630225 | + | 0.776412i | \(0.717037\pi\) | |||||||
\(500\) | 7.54330e6 | − | 3.63266e6i | 1.34939 | − | 0.649831i | ||||
\(501\) | 160749. | − | 201573.i | 0.0286124 | − | 0.0358789i | ||||
\(502\) | 1.17521e7 | − | 1.47366e7i | 2.08140 | − | 2.60999i | ||||
\(503\) | −1.83224e6 | − | 882359.i | −0.322895 | − | 0.155498i | 0.265413 | − | 0.964135i | \(-0.414492\pi\) |
−0.588309 | + | 0.808637i | \(0.700206\pi\) | |||||||
\(504\) | −1.55193e7 | − | 1.94606e7i | −2.72142 | − | 3.41255i | ||||
\(505\) | −94848.3 | −0.0165501 | ||||||||
\(506\) | −304457. | − | 381777.i | −0.0528628 | − | 0.0662878i | ||||
\(507\) | 51389.3 | + | 225151.i | 0.00887876 | + | 0.0389004i | ||||
\(508\) | 3.09037e6 | + | 1.35398e7i | 0.531314 | + | 2.32784i | ||||
\(509\) | −4.83147e6 | − | 6.05847e6i | −0.826579 | − | 1.03650i | −0.998677 | − | 0.0514176i | \(-0.983626\pi\) |
0.172098 | − | 0.985080i | \(-0.444945\pi\) | |||||||
\(510\) | −395768. | −0.0673775 | ||||||||
\(511\) | −6.73433e6 | − | 8.44458e6i | −1.14089 | − | 1.43062i | ||||
\(512\) | −5.21332e6 | − | 2.51060e6i | −0.878900 | − | 0.423256i | ||||
\(513\) | −2752.31 | + | 3451.29i | −0.000461747 | + | 0.000579013i | ||||
\(514\) | 6.77703e6 | − | 8.49812e6i | 1.13144 | − | 1.41878i | ||||
\(515\) | 9.78515e6 | − | 4.71228e6i | 1.62573 | − | 0.782912i | ||||
\(516\) | −158007. | − | 692272.i | −0.0261247 | − | 0.114460i | ||||
\(517\) | 14463.8 | − | 63370.0i | 0.00237988 | − | 0.0104269i | ||||
\(518\) | 1.61305e6 | + | 776804.i | 0.264133 | + | 0.127200i | ||||
\(519\) | −443555. | + | 213605.i | −0.0722818 | + | 0.0348091i | ||||
\(520\) | −9.15834e6 | + | 4.01253e7i | −1.48528 | + | 6.50744i | ||||
\(521\) | −5.82860e6 | −0.940741 | −0.470370 | − | 0.882469i | \(-0.655880\pi\) | ||||
−0.470370 | + | 0.882469i | \(0.655880\pi\) | |||||||
\(522\) | 8.28145e6 | + | 8.56729e6i | 1.33024 | + | 1.37615i | ||||
\(523\) | −1.49622e6 | −0.239189 | −0.119595 | − | 0.992823i | \(-0.538159\pi\) | ||||
−0.119595 | + | 0.992823i | \(0.538159\pi\) | |||||||
\(524\) | 7.11502e6 | − | 3.11729e7i | 1.13200 | − | 4.95963i | ||||
\(525\) | 517040. | − | 248993.i | 0.0818701 | − | 0.0394266i | ||||
\(526\) | −1.59463e7 | − | 7.67935e6i | −2.51302 | − | 1.21021i | ||||
\(527\) | −570549. | + | 2.49974e6i | −0.0894883 | + | 0.392074i | ||||
\(528\) | 16557.4 | + | 72542.7i | 0.00258468 | + | 0.0113242i | ||||
\(529\) | 3.30676e6 | − | 1.59245e6i | 0.513763 | − | 0.247415i | ||||
\(530\) | −1.70387e6 | + | 2.13658e6i | −0.263479 | + | 0.330392i | ||||
\(531\) | 2.88234e6 | − | 3.61434e6i | 0.443617 | − | 0.556279i | ||||
\(532\) | 161414. | + | 77732.7i | 0.0247264 | + | 0.0119076i | ||||
\(533\) | 1.13993e6 | + | 1.42943e6i | 0.173804 | + | 0.217944i | ||||
\(534\) | 569396. | 0.0864094 | ||||||||
\(535\) | −5.20279e6 | − | 6.52409e6i | −0.785871 | − | 0.985452i | ||||
\(536\) | 630306. | + | 2.76155e6i | 0.0947631 | + | 0.415184i | ||||
\(537\) | 74707.4 | + | 327315.i | 0.0111796 | + | 0.0489812i | ||||
\(538\) | 7.19655e6 | + | 9.02419e6i | 1.07194 | + | 1.34417i | ||||
\(539\) | 382021. | 0.0566390 | ||||||||
\(540\) | −1.70908e6 | − | 2.14312e6i | −0.252219 | − | 0.316273i | ||||
\(541\) | −2.66584e6 | − | 1.28380e6i | −0.391598 | − | 0.188584i | 0.227715 | − | 0.973728i | \(-0.426875\pi\) |
−0.619313 | + | 0.785144i | \(0.712589\pi\) | |||||||
\(542\) | 5.86896e6 | − | 7.35945e6i | 0.858150 | − | 1.07609i | ||||
\(543\) | −9785.34 | + | 12270.4i | −0.00142422 | + | 0.00178591i | ||||
\(544\) | 1.01299e7 | − | 4.87831e6i | 1.46760 | − | 0.706761i | ||||
\(545\) | 3.13510e6 | + | 1.37358e7i | 0.452126 | + | 1.98089i | ||||
\(546\) | −266830. | + | 1.16906e6i | −0.0383048 | + | 0.167824i | ||||
\(547\) | −4.82167e6 | − | 2.32199e6i | −0.689016 | − | 0.331813i | 0.0564038 | − | 0.998408i | \(-0.482037\pi\) |
−0.745420 | + | 0.666595i | \(0.767751\pi\) | |||||||
\(548\) | 2.53641e7 | − | 1.22147e7i | 3.60801 | − | 1.73752i | ||||
\(549\) | −1.63899e6 | + | 7.18087e6i | −0.232084 | + | 1.01683i | ||||
\(550\) | 1.25091e6 | 0.176327 | ||||||||
\(551\) | −50449.0 | − | 18619.3i | −0.00707903 | − | 0.00261266i | ||||
\(552\) | 743718. | 0.103887 | ||||||||
\(553\) | −3.60315e6 | + | 1.57864e7i | −0.501037 | + | 2.19519i | ||||
\(554\) | −1.22489e7 | + | 5.89878e6i | −1.69560 | + | 0.816559i | ||||
\(555\) | 55624.1 | + | 26787.2i | 0.00766533 | + | 0.00369143i | ||||
\(556\) | 1.19548e6 | − | 5.23775e6i | 0.164005 | − | 0.718551i | ||||
\(557\) | 49914.4 | + | 218689.i | 0.00681692 | + | 0.0298669i | 0.978222 | − | 0.207561i | \(-0.0665527\pi\) |
−0.971405 | + | 0.237428i | \(0.923696\pi\) | |||||||
\(558\) | −1.09707e7 | + | 5.28321e6i | −1.49159 | + | 0.718311i | ||||
\(559\) | 5.52655e6 | − | 6.93008e6i | 0.748040 | − | 0.938012i | ||||
\(560\) | −3.38420e7 | + | 4.24365e7i | −4.56022 | + | 5.71834i | ||||
\(561\) | −10341.8 | − | 4980.33i | −0.00138735 | − | 0.000668114i | ||||
\(562\) | −5.43683e6 | − | 6.81757e6i | −0.726114 | − | 0.910518i | ||||
\(563\) | −6.48001e6 | −0.861598 | −0.430799 | − | 0.902448i | \(-0.641768\pi\) | ||||
−0.430799 | + | 0.902448i | \(0.641768\pi\) | |||||||
\(564\) | 98440.1 | + | 123440.i | 0.0130309 | + | 0.0163402i | ||||
\(565\) | 697081. | + | 3.05411e6i | 0.0918675 | + | 0.402498i | ||||
\(566\) | −2.89591e6 | − | 1.26878e7i | −0.379965 | − | 1.66474i | ||||
\(567\) | 6.42790e6 | + | 8.06033e6i | 0.839676 | + | 1.05292i | ||||
\(568\) | −4.38116e7 | −5.69795 | ||||||||
\(569\) | −3.57251e6 | − | 4.47979e6i | −0.462586 | − | 0.580065i | 0.494752 | − | 0.869034i | \(-0.335259\pi\) |
−0.957338 | + | 0.288969i | \(0.906687\pi\) | |||||||
\(570\) | 7642.24 | + | 3680.31i | 0.000985220 | + | 0.000474457i | ||||
\(571\) | −1.20979e6 | + | 1.51703e6i | −0.155281 | + | 0.194716i | −0.853387 | − | 0.521279i | \(-0.825455\pi\) |
0.698105 | + | 0.715995i | \(0.254027\pi\) | |||||||
\(572\) | −1.18697e6 | + | 1.48841e6i | −0.151687 | + | 0.190210i | ||||
\(573\) | −151550. | + | 72982.4i | −0.0192827 | + | 0.00928607i | ||||
\(574\) | 946704. | + | 4.14778e6i | 0.119932 | + | 0.525456i | ||||
\(575\) | 1.57678e6 | − | 6.90831e6i | 0.198884 | − | 0.871369i | ||||
\(576\) | 2.30072e7 | + | 1.10797e7i | 2.88940 | + | 1.39146i | ||||
\(577\) | −5.31930e6 | + | 2.56164e6i | −0.665143 | + | 0.320316i | −0.735814 | − | 0.677184i | \(-0.763200\pi\) |
0.0706712 | + | 0.997500i | \(0.477486\pi\) | |||||||
\(578\) | 2.68783e6 | − | 1.17762e7i | 0.334643 | − | 1.46617i | ||||
\(579\) | 97193.6 | 0.0120487 | ||||||||
\(580\) | 1.82428e7 | − | 2.79687e7i | 2.25176 | − | 3.45225i | ||||
\(581\) | −4.90263e6 | −0.602544 | ||||||||
\(582\) | 289735. | − | 1.26941e6i | 0.0354563 | − | 0.155344i | ||||
\(583\) | −71410.2 | + | 34389.3i | −0.00870140 | + | 0.00419037i | ||||
\(584\) | 3.23070e7 | + | 1.55583e7i | 3.91981 | + | 1.88768i | ||||
\(585\) | 3.80250e6 | − | 1.66598e7i | 0.459388 | − | 2.01271i | ||||
\(586\) | −1.24246e6 | − | 5.44359e6i | −0.149465 | − | 0.654849i | ||||
\(587\) | −3.62179e6 | + | 1.74416e6i | −0.433838 | + | 0.208925i | −0.638040 | − | 0.770003i | \(-0.720254\pi\) |
0.204202 | + | 0.978929i | \(0.434540\pi\) | |||||||
\(588\) | −578560. | + | 725492.i | −0.0690089 | + | 0.0865345i | ||||
\(589\) | 34262.7 | − | 42964.1i | 0.00406943 | − | 0.00510290i | ||||
\(590\) | −1.60259e7 | − | 7.71767e6i | −1.89536 | − | 0.912759i | ||||
\(591\) | 82156.8 | + | 103021.i | 0.00967553 | + | 0.0121327i | ||||
\(592\) | −3.36859e6 | −0.395043 | ||||||||
\(593\) | 205778. | + | 258037.i | 0.0240304 | + | 0.0301332i | 0.793702 | − | 0.608307i | \(-0.208151\pi\) |
−0.769671 | + | 0.638441i | \(0.779580\pi\) | |||||||
\(594\) | −24289.2 | − | 106418.i | −0.00282453 | − | 0.0123751i | ||||
\(595\) | −1.86321e6 | − | 8.16324e6i | −0.215759 | − | 0.945301i | ||||
\(596\) | 1.91284e7 | + | 2.39863e7i | 2.20579 | + | 2.76597i | ||||
\(597\) | 173903. | 0.0199697 | ||||||||
\(598\) | 9.23164e6 | + | 1.15761e7i | 1.05566 | + | 1.32376i | ||||
\(599\) | −8.77325e6 | − | 4.22498e6i | −0.999065 | − | 0.481124i | −0.138444 | − | 0.990370i | \(-0.544210\pi\) |
−0.860621 | + | 0.509246i | \(0.829924\pi\) | |||||||
\(600\) | −1.18786e6 | + | 1.48953e6i | −0.134706 | + | 0.168916i | ||||
\(601\) | 563288. | − | 706340.i | 0.0636127 | − | 0.0797679i | −0.749007 | − | 0.662562i | \(-0.769469\pi\) |
0.812620 | + | 0.582794i | \(0.198041\pi\) | |||||||
\(602\) | 1.85835e7 | − | 8.94936e6i | 2.08996 | − | 1.00647i | ||||
\(603\) | −261700. | − | 1.14658e6i | −0.0293096 | − | 0.128414i | ||||
\(604\) | −3.34043e6 | + | 1.46354e7i | −0.372572 | + | 1.63234i | ||||
\(605\) | −1.24133e7 | − | 5.97792e6i | −1.37879 | − | 0.663990i | ||||
\(606\) | 8265.72 | − | 3980.56i | 0.000914322 | − | 0.000440314i | ||||
\(607\) | 110527. | − | 484252.i | 0.0121758 | − | 0.0533458i | −0.968475 | − | 0.249111i | \(-0.919862\pi\) |
0.980651 | + | 0.195765i | \(0.0627189\pi\) | |||||||
\(608\) | −240972. | −0.0264367 | ||||||||
\(609\) | 333266. | − | 510941.i | 0.0364122 | − | 0.0558248i | ||||
\(610\) | 2.83402e7 | 3.08374 | ||||||||
\(611\) | −438566. | + | 1.92148e6i | −0.0475260 | + | 0.208225i | ||||
\(612\) | −1.03811e7 | + | 4.99930e6i | −1.12038 | + | 0.539548i | ||||
\(613\) | 3.78284e6 | + | 1.82172e6i | 0.406600 | + | 0.195808i | 0.625993 | − | 0.779828i | \(-0.284694\pi\) |
−0.219394 | + | 0.975636i | \(0.570408\pi\) | |||||||
\(614\) | −5.78540e6 | + | 2.53475e7i | −0.619316 | + | 2.71340i | ||||
\(615\) | 32646.0 | + | 143031.i | 0.00348050 | + | 0.0152491i | ||||
\(616\) | −2.50261e6 | + | 1.20519e6i | −0.265731 | + | 0.127969i | ||||
\(617\) | −1.61132e6 | + | 2.02054e6i | −0.170400 | + | 0.213675i | −0.859697 | − | 0.510804i | \(-0.829348\pi\) |
0.689297 | + | 0.724479i | \(0.257919\pi\) | |||||||
\(618\) | −654980. | + | 821319.i | −0.0689853 | + | 0.0865049i | ||||
\(619\) | 4.22546e6 | + | 2.03487e6i | 0.443249 | + | 0.213457i | 0.642176 | − | 0.766557i | \(-0.278032\pi\) |
−0.198928 | + | 0.980014i | \(0.563746\pi\) | |||||||
\(620\) | 2.12758e7 | + | 2.66790e7i | 2.22283 | + | 2.78734i | ||||
\(621\) | −618324. | −0.0643409 | ||||||||
\(622\) | −6.07556e6 | − | 7.61851e6i | −0.629666 | − | 0.789576i | ||||
\(623\) | 2.68062e6 | + | 1.17445e7i | 0.276703 | + | 1.21232i | ||||
\(624\) | −502048. | − | 2.19962e6i | −0.0516159 | − | 0.226144i | ||||
\(625\) | −3.07234e6 | − | 3.85259e6i | −0.314608 | − | 0.394506i | ||||
\(626\) | −2.24679e7 | −2.29154 | ||||||||
\(627\) | 153.385 | + | 192.339i | 1.55817e−5 | + | 1.95388e-5i | ||||
\(628\) | 1.56200e6 | + | 752218.i | 0.158045 | + | 0.0761105i | ||||
\(629\) | 323997. | − | 406279.i | 0.0326523 | − | 0.0409447i | ||||
\(630\) | 2.47926e7 | − | 3.10889e7i | 2.48869 | − | 3.12071i | ||||
\(631\) | 1.31058e7 | − | 6.31141e6i | 1.31036 | − | 0.631034i | 0.357345 | − | 0.933972i | \(-0.383682\pi\) |
0.953010 | + | 0.302938i | \(0.0979676\pi\) | |||||||
\(632\) | −1.19620e7 | − | 5.24091e7i | −1.19128 | − | 5.21933i | ||||
\(633\) | 133516. | − | 584972.i | 0.0132441 | − | 0.0580264i | ||||
\(634\) | −1.29674e7 | − | 6.24475e6i | −1.28123 | − | 0.617009i | ||||
\(635\) | −1.25337e7 | + | 6.03591e6i | −1.23352 | + | 0.594030i | ||||
\(636\) | 42840.4 | − | 187696.i | 0.00419963 | − | 0.0183998i | ||||
\(637\) | −1.15835e7 | −1.13108 | ||||||||
\(638\) | 1.13773e6 | − | 688248.i | 0.110660 | − | 0.0669411i | ||||
\(639\) | 1.81904e7 | 1.76234 | ||||||||
\(640\) | 9.44450e6 | − | 4.13790e7i | 0.911442 | − | 3.99329i | ||||
\(641\) | −3.69402e6 | + | 1.77895e6i | −0.355103 | + | 0.171008i | −0.602927 | − | 0.797797i | \(-0.705999\pi\) |
0.247824 | + | 0.968805i | \(0.420285\pi\) | |||||||
\(642\) | 727206. | + | 350204.i | 0.0696338 | + | 0.0335339i | ||||
\(643\) | −409982. | + | 1.79625e6i | −0.0391055 | + | 0.171332i | −0.990710 | − | 0.135994i | \(-0.956577\pi\) |
0.951604 | + | 0.307326i | \(0.0994343\pi\) | |||||||
\(644\) | 5.58405e6 | + | 2.44653e7i | 0.530560 | + | 2.32454i | ||||
\(645\) | 640831. | − | 308608.i | 0.0606519 | − | 0.0292084i | ||||
\(646\) | 44514.1 | − | 55818.9i | 0.00419678 | − | 0.00526260i | ||||
\(647\) | −2.72443e6 | + | 3.41632e6i | −0.255867 | + | 0.320847i | −0.893129 | − | 0.449800i | \(-0.851495\pi\) |
0.637262 | + | 0.770647i | \(0.280067\pi\) | |||||||
\(648\) | −3.08370e7 | − | 1.48503e7i | −2.88493 | − | 1.38931i | ||||
\(649\) | −321652. | − | 403339.i | −0.0299761 | − | 0.0375888i | ||||
\(650\) | −3.79296e7 | −3.52123 | ||||||||
\(651\) | 388673. | + | 487380.i | 0.0359444 | + | 0.0450729i | ||||
\(652\) | 8.78511e6 | + | 3.84901e7i | 0.809335 | + | 3.54593i | ||||
\(653\) | −3.38562e6 | − | 1.48334e7i | −0.310710 | − | 1.36131i | −0.853348 | − | 0.521342i | \(-0.825432\pi\) |
0.542638 | − | 0.839967i | \(-0.317426\pi\) | |||||||
\(654\) | −849671. | − | 1.06545e6i | −0.0776795 | − | 0.0974070i | ||||
\(655\) | 3.20284e7 | 2.91697 | ||||||||
\(656\) | −4.99094e6 | − | 6.25845e6i | −0.452817 | − | 0.567815i | ||||
\(657\) | −1.34137e7 | − | 6.45972e6i | −1.21237 | − | 0.583848i | ||||
\(658\) | −2.85948e6 | + | 3.58567e6i | −0.257467 | + | 0.322854i | ||||
\(659\) | −6.85498e6 | + | 8.59587e6i | −0.614883 | + | 0.771039i | −0.987614 | − | 0.156900i | \(-0.949850\pi\) |
0.372732 | + | 0.927939i | \(0.378421\pi\) | |||||||
\(660\) | −137635. | + | 66281.5i | −0.0122990 | + | 0.00592288i | ||||
\(661\) | 2.21927e6 | + | 9.72326e6i | 0.197563 | + | 0.865582i | 0.972381 | + | 0.233397i | \(0.0749843\pi\) |
−0.774818 | + | 0.632184i | \(0.782159\pi\) | |||||||
\(662\) | 4.90907e6 | − | 2.15080e7i | 0.435366 | − | 1.90746i | ||||
\(663\) | 313579. | + | 151012.i | 0.0277053 | + | 0.0133422i | ||||
\(664\) | 1.46643e7 | − | 7.06196e6i | 1.29075 | − | 0.621591i | ||||
\(665\) | −39932.9 | + | 174957.i | −0.00350168 | + | 0.0153419i | ||||
\(666\) | 2.46782e6 | 0.215590 | ||||||||
\(667\) | −2.36682e6 | − | 7.15084e6i | −0.205992 | − | 0.622361i | ||||
\(668\) | −2.88810e7 | −2.50421 | ||||||||
\(669\) | −82069.1 | + | 359568.i | −0.00708948 | + | 0.0310610i | ||||
\(670\) | −4.07700e6 | + | 1.96338e6i | −0.350876 | + | 0.168973i | ||||
\(671\) | 740553. | + | 356632.i | 0.0634965 | + | 0.0305783i | ||||
\(672\) | 608275. | − | 2.66503e6i | 0.0519609 | − | 0.227656i | ||||
\(673\) | −587891. | − | 2.57572e6i | −0.0500333 | − | 0.219210i | 0.943731 | − | 0.330715i | \(-0.107290\pi\) |
−0.993764 | + | 0.111505i | \(0.964433\pi\) | |||||||
\(674\) | −1.92981e7 | + | 9.29349e6i | −1.63631 | + | 0.788006i | ||||
\(675\) | 987583. | − | 1.23839e6i | 0.0834285 | − | 0.104616i | ||||
\(676\) | 1.61296e7 | − | 2.02259e7i | 1.35755 | − | 1.70232i | ||||
\(677\) | 2.11781e6 | + | 1.01988e6i | 0.177589 | + | 0.0855222i | 0.520566 | − | 0.853822i | \(-0.325721\pi\) |
−0.342977 | + | 0.939344i | \(0.611435\pi\) | |||||||
\(678\) | −188922. | − | 236901.i | −0.0157837 | − | 0.0197921i | ||||
\(679\) | 2.75473e7 | 2.29300 | ||||||||
\(680\) | 1.73317e7 | + | 2.17333e7i | 1.43737 | + | 1.80241i | ||||
\(681\) | 79033.4 | + | 346268.i | 0.00653045 | + | 0.0286118i | ||||
\(682\) | 302369. | + | 1.32476e6i | 0.0248929 | + | 0.109063i | ||||
\(683\) | 571111. | + | 716150.i | 0.0468456 | + | 0.0587425i | 0.804702 | − | 0.593678i | \(-0.202325\pi\) |
−0.757857 | + | 0.652421i | \(0.773753\pi\) | |||||||
\(684\) | 246948. | 0.0201821 | ||||||||
\(685\) | 1.75820e7 | + | 2.20471e7i | 1.43166 | + | 1.79525i | ||||
\(686\) | 4.61780e6 | + | 2.22382e6i | 0.374649 | + | 0.180422i | ||||
\(687\) | 73411.9 | − | 92055.7i | 0.00593437 | − | 0.00744147i | ||||
\(688\) | −2.41968e7 | + | 3.03418e7i | −1.94889 | + | 2.44383i | ||||
\(689\) | 2.16528e6 | − | 1.04274e6i | 0.173766 | − | 0.0836813i | ||||
\(690\) | 264380. | + | 1.15833e6i | 0.0211401 | + | 0.0926207i | ||||
\(691\) | 4.77125e6 | − | 2.09042e7i | 0.380135 | − | 1.66548i | −0.316913 | − | 0.948454i | \(-0.602646\pi\) |
0.697048 | − | 0.717024i | \(-0.254496\pi\) | |||||||
\(692\) | 4.96866e7 | + | 2.39278e7i | 3.94434 | + | 1.89949i | ||||
\(693\) | 1.03907e6 | − | 500391.i | 0.0821888 | − | 0.0395801i | ||||
\(694\) | −6.52969e6 | + | 2.86084e7i | −0.514629 | + | 2.25473i | ||||
\(695\) | 5.38148e6 | 0.422610 | ||||||||
\(696\) | −260854. | + | 2.00833e6i | −0.0204115 | + | 0.157149i | ||||
\(697\) | 1.23486e6 | 0.0962796 | ||||||||
\(698\) | −8.17655e6 | + | 3.58238e7i | −0.635231 | + | 2.78313i | ||||
\(699\) | −43228.6 | + | 20817.8i | −0.00334640 | + | 0.00161154i | ||||
\(700\) | −5.79184e7 | − | 2.78920e7i | −4.46757 | − | 2.15147i | ||||
\(701\) | 1.10286e6 | − | 4.83193e6i | 0.0847664 | − | 0.371386i | −0.914697 | − | 0.404140i | \(-0.867571\pi\) |
0.999463 | + | 0.0327544i | \(0.0104279\pi\) | |||||||
\(702\) | 736488. | + | 3.22676e6i | 0.0564057 | + | 0.247129i | ||||
\(703\) | −10034.4 | + | 4832.31i | −0.000765778 | + | 0.000368779i | ||||
\(704\) | 1.77674e6 | − | 2.22796e6i | 0.135112 | − | 0.169425i | ||||
\(705\) | −98605.7 | + | 123648.i | −0.00747187 | + | 0.00936942i | ||||
\(706\) | 2.53536e7 | + | 1.22096e7i | 1.91438 | + | 0.921915i | ||||
\(707\) | 121018. | + | 151752.i | 0.00910544 | + | 0.0114179i | ||||
\(708\) | 1.25311e6 | 0.0939519 | ||||||||
\(709\) | −1.01156e7 | − | 1.26845e7i | −0.755746 | − | 0.947675i | 0.244010 | − | 0.969773i | \(-0.421537\pi\) |
−0.999756 | + | 0.0220976i | \(0.992966\pi\) | |||||||
\(710\) | −1.55744e7 | − | 6.82357e7i | −1.15948 | − | 5.08003i | ||||
\(711\) | 4.96659e6 | + | 2.17600e7i | 0.368455 | + | 1.61431i | ||||
\(712\) | −2.49354e7 | − | 3.12680e7i | −1.84338 | − | 2.31153i | ||||
\(713\) | 7.69733e6 | 0.567043 | ||||||||
\(714\) | 504964. | + | 633205.i | 0.0370693 | + | 0.0464835i | ||||
\(715\) | −1.71811e6 | − | 827396.i | −0.125685 | − | 0.0605269i | ||||
\(716\) | 2.34485e7 | − | 2.94035e7i | 1.70936 | − | 2.14346i | ||||
\(717\) | 183131. | − | 229639.i | 0.0133034 | − | 0.0166820i | ||||
\(718\) | −2.61168e7 | + | 1.25772e7i | −1.89064 | + | 0.910486i | ||||
\(719\) | 3.79562e6 | + | 1.66297e7i | 0.273817 | + | 1.19967i | 0.905467 | + | 0.424417i | \(0.139521\pi\) |
−0.631649 | + | 0.775254i | \(0.717622\pi\) | |||||||
\(720\) | −1.66484e7 | + | 7.29415e7i | −1.19686 | + | 5.24377i | ||||
\(721\) | −2.00243e7 | − | 9.64321e6i | −1.43456 | − | 0.690849i | ||||
\(722\) | 2.42112e7 | − | 1.16595e7i | 1.72852 | − | 0.832409i | ||||
\(723\) | 192668. | − | 844134.i | 0.0137077 | − | 0.0600573i | ||||
\(724\) | 1.75808e6 | 0.124650 | ||||||||
\(725\) | 1.81021e7 | + | 6.68096e6i | 1.27904 | + | 0.472056i | ||||
\(726\) | 1.33265e6 | 0.0938374 | ||||||||
\(727\) | 1.73251e6 | − | 7.59063e6i | 0.121574 | − | 0.532650i | −0.877059 | − | 0.480382i | \(-0.840498\pi\) |
0.998633 | − | 0.0522676i | \(-0.0166449\pi\) | |||||||
\(728\) | 7.58833e7 | − | 3.65435e7i | 5.30662 | − | 2.55553i | ||||
\(729\) | 1.27410e7 | + | 6.13577e6i | 0.887946 | + | 0.427612i | ||||
\(730\) | −1.27470e7 | + | 5.58483e7i | −0.885322 | + | 3.87885i | ||||
\(731\) | −1.33218e6 | − | 5.83666e6i | −0.0922081 | − | 0.403990i | ||||
\(732\) | −1.79882e6 | + | 866267.i | −0.124082 | + | 0.0597550i | ||||
\(733\) | 6.98773e6 | − | 8.76233e6i | 0.480370 | − | 0.602365i | −0.481306 | − | 0.876553i | \(-0.659837\pi\) |
0.961676 | + | 0.274187i | \(0.0884089\pi\) | |||||||
\(734\) | 1.45672e6 | − | 1.82667e6i | 0.0998013 | − | 0.125147i | ||||
\(735\) | −837450. | − | 403295.i | −0.0571795 | − | 0.0275362i | ||||
\(736\) | −2.10447e7 | − | 2.63893e7i | −1.43202 | − | 1.79570i | ||||
\(737\) | −131242. | −0.00890032 | ||||||||
\(738\) | 3.65635e6 | + | 4.58492e6i | 0.247120 | + | 0.309878i | ||||
\(739\) | −4.31454e6 | − | 1.89032e7i | −0.290619 | − | 1.27328i | −0.883667 | − | 0.468117i | \(-0.844933\pi\) |
0.593048 | − | 0.805167i | \(-0.297924\pi\) | |||||||
\(740\) | −1.53892e6 | − | 6.74246e6i | −0.103309 | − | 0.452625i | ||||
\(741\) | −4650.90 | − | 5832.04i | −0.000311165 | − | 0.000390189i | ||||
\(742\) | 5.59238e6 | 0.372896 | ||||||||
\(743\) | −1.56192e7 | − | 1.95858e7i | −1.03797 | − | 1.30158i | −0.952271 | − | 0.305255i | \(-0.901258\pi\) |
−0.0857017 | − | 0.996321i | \(-0.527313\pi\) | |||||||
\(744\) | −1.86461e6 | − | 897947.i | −0.123497 | − | 0.0594728i | ||||
\(745\) | −1.91606e7 | + | 2.40266e7i | −1.26479 | + | 1.58599i | ||||
\(746\) | −2.76786e7 | + | 3.47078e7i | −1.82094 | + | 2.28339i | ||||
\(747\) | −6.08855e6 | + | 2.93209e6i | −0.399220 | + | 0.192254i | ||||
\(748\) | 286120. | + | 1.25357e6i | 0.0186979 | + | 0.0819211i | ||||
\(749\) | −3.79986e6 | + | 1.66483e7i | −0.247493 | + | 1.08434i | ||||
\(750\) | −730857. | − | 351962.i | −0.0474438 | − | 0.0228477i | ||||
\(751\) | −2.53971e7 | + | 1.22306e7i | −1.64318 | + | 0.791311i | −0.643510 | + | 0.765438i | \(0.722522\pi\) |
−0.999665 | + | 0.0258736i | \(0.991763\pi\) | |||||||
\(752\) | 1.92016e6 | − | 8.41279e6i | 0.123821 | − | 0.542494i | ||||
\(753\) | −1.33012e6 | −0.0854876 | ||||||||
\(754\) | −3.44980e7 | + | 2.08688e7i | −2.20986 | + | 1.33681i | ||||
\(755\) | −1.50370e7 | −0.960049 | ||||||||
\(756\) | −1.24823e6 | + | 5.46885e6i | −0.0794309 | + | 0.348010i | ||||
\(757\) | 2.03226e7 | − | 9.78684e6i | 1.28896 | − | 0.620730i | 0.341282 | − | 0.939961i | \(-0.389139\pi\) |
0.947677 | + | 0.319231i | \(0.103424\pi\) | |||||||
\(758\) | −1.36006e7 | − | 6.54971e6i | −0.859776 | − | 0.414046i | ||||
\(759\) | −7667.85 | + | 33595.0i | −0.000483135 | + | 0.00211675i | ||||
\(760\) | −132573. | − | 580838.i | −0.00832568 | − | 0.0364772i | ||||
\(761\) | 1.25618e7 | − | 6.04944e6i | 0.786303 | − | 0.378664i | 0.00275618 | − | 0.999996i | \(-0.499123\pi\) |
0.783547 | + | 0.621333i | \(0.213408\pi\) | |||||||
\(762\) | 838957. | − | 1.05202e6i | 0.0523423 | − | 0.0656351i | ||||
\(763\) | 1.79763e7 | − | 2.25415e7i | 1.11786 | − | 1.40176i | ||||
\(764\) | 1.69765e7 | + | 8.17544e6i | 1.05224 | + | 0.506731i | ||||
\(765\) | −7.19605e6 | − | 9.02357e6i | −0.444571 | − | 0.557474i | ||||
\(766\) | 9.63240e6 | 0.593147 | ||||||||
\(767\) | 9.75302e6 | + | 1.22299e7i | 0.598619 | + | 0.750645i | ||||
\(768\) | 339028. | + | 1.48538e6i | 0.0207412 | + | 0.0908730i | ||||
\(769\) | −4.07674e6 | − | 1.78614e7i | −0.248598 | − | 1.08918i | −0.932944 | − | 0.360021i | \(-0.882769\pi\) |
0.684346 | − | 0.729157i | \(-0.260088\pi\) | |||||||
\(770\) | −2.76671e6 | − | 3.46934e6i | −0.168165 | − | 0.210872i | ||||
\(771\) | −767036. | −0.0464707 | ||||||||
\(772\) | −6.78828e6 | − | 8.51223e6i | −0.409936 | − | 0.514044i | ||||
\(773\) | 1.31220e6 | + | 631921.i | 0.0789861 | + | 0.0380377i | 0.472960 | − | 0.881084i | \(-0.343186\pi\) |
−0.393974 | + | 0.919122i | \(0.628900\pi\) | |||||||
\(774\) | 1.77265e7 | − | 2.22283e7i | 1.06358 | − | 1.33369i | ||||
\(775\) | −1.22941e7 | + | 1.54164e7i | −0.735264 | + | 0.921992i | ||||
\(776\) | −8.23970e7 | + | 3.96803e7i | −4.91199 | + | 2.36549i | ||||
\(777\) | −28113.5 | − | 123173.i | −0.00167056 | − | 0.00731920i | ||||
\(778\) | 9.54734e6 | − | 4.18296e7i | 0.565501 | − | 2.47762i | ||||
\(779\) | −23844.9 | − | 11483.1i | −0.00140784 | − | 0.000677979i | ||||
\(780\) | 4.17332e6 | − | 2.00977e6i | 0.245610 | − | 0.118279i | ||||
\(781\) | 451704. | − | 1.97905e6i | 0.0264988 | − | 0.116099i | ||||
\(782\) | 1.00004e7 | 0.584789 | ||||||||
\(783\) | 216873. | − | 1.66972e6i | 0.0126416 | − | 0.0973281i | ||||
\(784\) | 5.07159e7 | 2.94682 | ||||||||
\(785\) | −386430. | + | 1.69306e6i | −0.0223819 | + | 0.0980614i | ||||
\(786\) | −2.79117e6 | + | 1.34415e6i | −0.161150 | + | 0.0776056i | ||||
\(787\) | −1.94615e7 | − | 9.37215e6i | −1.12005 | − | 0.539389i | −0.220145 | − | 0.975467i | \(-0.570653\pi\) |
−0.899909 | + | 0.436078i | \(0.856367\pi\) | |||||||
\(788\) | 3.28456e6 | − | 1.43906e7i | 0.188435 | − | 0.825588i | ||||
\(789\) | 277925. | + | 1.21767e6i | 0.0158941 | + | 0.0696364i | ||||
\(790\) | 7.73739e7 | − | 3.72613e7i | 4.41089 | − | 2.12417i | ||||
\(791\) | 3.99698e6 | − | 5.01205e6i | 0.227138 | − | 0.284823i | ||||
\(792\) | −2.38720e6 | + | 2.99345e6i | −0.135231 | + | 0.169574i | ||||
\(793\) | −2.24548e7 | − | 1.08137e7i | −1.26802 | − | 0.610646i | ||||
\(794\) | 1.54241e7 | + | 1.93412e7i | 0.868255 | + | 1.08876i | ||||
\(795\) | 192847. | 0.0108217 | ||||||||
\(796\) | −1.21459e7 | − | 1.52304e7i | −0.679432 | − | 0.851981i | ||||
\(797\) | 2.43888e6 | + | 1.06854e7i | 0.136002 | + | 0.595863i | 0.996290 | + | 0.0860556i | \(0.0274263\pi\) |
−0.860288 | + | 0.509808i | \(0.829717\pi\) | |||||||
\(798\) | −3862.53 | − | 16922.9i | −0.000214716 | − | 0.000940733i | ||||
\(799\) | 829965. | + | 1.04074e6i | 0.0459931 | + | 0.0576735i | ||||
\(800\) | 8.64655e7 | 4.77659 | ||||||||
\(801\) | 1.03531e7 | + | 1.29823e7i | 0.570147 | + | 0.714942i | ||||
\(802\) | 2.43679e7 | + | 1.17350e7i | 1.33777 | + | 0.644238i | ||||
\(803\) | −1.03588e6 | + | 1.29896e6i | −0.0566920 | + | 0.0710896i | ||||
\(804\) | 198763. | − | 249241.i | 0.0108442 | − | 0.0135981i | ||||
\(805\) | −2.26474e7 | + | 1.09064e7i | −1.23177 | + | 0.593187i | ||||
\(806\) | −9.16832e6 | − | 4.01690e7i | −0.497109 | − | 2.17798i | ||||
\(807\) | 181247. | − | 794097.i | 0.00979688 | − | 0.0429229i | ||||
\(808\) | −580567. | − | 279587.i | −0.0312841 | − | 0.0150657i | ||||
\(809\) | 2.29912e7 | − | 1.10720e7i | 1.23507 | − | 0.594778i | 0.301599 | − | 0.953435i | \(-0.402480\pi\) |
0.933469 | + | 0.358657i | \(0.116765\pi\) | |||||||
\(810\) | 1.21670e7 | − | 5.33071e7i | 0.651585 | − | 2.85478i | ||||
\(811\) | −6.48288e6 | −0.346111 | −0.173056 | − | 0.984912i | \(-0.555364\pi\) | ||||
−0.173056 | + | 0.984912i | \(0.555364\pi\) | |||||||
\(812\) | −6.80245e7 | + | 6.49808e6i | −3.62055 | + | 0.345856i | ||||
\(813\) | −664259. | −0.0352461 | ||||||||
\(814\) | 61281.0 | − | 268490.i | 0.00324164 | − | 0.0142026i | ||||
\(815\) | −3.56300e7 | + | 1.71585e7i | −1.87898 | + | 0.904868i | ||||
\(816\) | −1.37294e6 | − | 661172.i | −0.0721814 | − | 0.0347607i | ||||
\(817\) | −28551.7 | + | 125093.i | −0.00149650 | + | 0.00655661i | ||||
\(818\) | −5.27502e6 | − | 2.31114e7i | −0.275639 | − | 1.20765i | ||||
\(819\) | −3.15064e7 | + | 1.51727e7i | −1.64130 | + | 0.790410i | ||||
\(820\) | 1.02466e7 | − | 1.28488e7i | 0.532164 | − | 0.667313i | ||||
\(821\) | −6.01621e6 | + | 7.54409e6i | −0.311505 | + | 0.390615i | −0.912796 | − | 0.408415i | \(-0.866082\pi\) |
0.601291 | + | 0.799030i | \(0.294653\pi\) | |||||||
\(822\) | −2.45748e6 | − | 1.18346e6i | −0.126856 | − | 0.0610905i | ||||
\(823\) | 2.39932e6 | + | 3.00865e6i | 0.123478 | + | 0.154836i | 0.839728 | − | 0.543008i | \(-0.182715\pi\) |
−0.716250 | + | 0.697843i | \(0.754143\pi\) | |||||||
\(824\) | 7.37855e7 | 3.78576 | ||||||||
\(825\) | −55037.7 | − | 69015.1i | −0.00281530 | − | 0.00353028i | ||||
\(826\) | 8.09980e6 | + | 3.54875e7i | 0.413070 | + | 1.80978i | ||||
\(827\) | 4.97239e6 | + | 2.17855e7i | 0.252814 | + | 1.10765i | 0.928755 | + | 0.370695i | \(0.120881\pi\) |
−0.675940 | + | 0.736956i | \(0.736262\pi\) | |||||||
\(828\) | 2.15667e7 | + | 2.70437e7i | 1.09322 | + | 1.37085i | ||||
\(829\) | 1.84970e7 | 0.934794 | 0.467397 | − | 0.884048i | \(-0.345192\pi\) | ||||
0.467397 | + | 0.884048i | \(0.345192\pi\) | |||||||
\(830\) | 1.62118e7 | + | 2.03290e7i | 0.816838 | + | 1.02428i | ||||
\(831\) | 864379. | + | 416263.i | 0.0434212 | + | 0.0209105i | ||||
\(832\) | −5.38737e7 | + | 6.75555e7i | −2.69817 | + | 3.38339i | ||||
\(833\) | −4.87794e6 | + | 6.11674e6i | −0.243570 | + | 0.305427i | ||||
\(834\) | −468978. | + | 225848.i | −0.0233473 | + | 0.0112435i | ||||
\(835\) | −6.43744e6 | − | 2.82043e7i | −0.319519 | − | 1.39990i | ||||
\(836\) | 6132.22 | − | 26867.0i | 0.000303461 | − | 0.00132955i | ||||
\(837\) | 1.55023e6 | + | 746549.i | 0.0764859 | + | 0.0368337i | ||||
\(838\) | −4.06329e7 | + | 1.95678e7i | −1.99879 | + | 0.962569i | ||||
\(839\) | 5.14042e6 | − | 2.25216e7i | 0.252112 | − | 1.10458i | −0.677351 | − | 0.735660i | \(-0.736872\pi\) |
0.929463 | − | 0.368915i | \(-0.120271\pi\) | |||||||
\(840\) | 6.75842e6 | 0.330481 | ||||||||
\(841\) | 2.01402e7 | − | 3.88325e6i | 0.981915 | − | 0.189324i | ||||
\(842\) | 3.25357e7 | 1.58154 | ||||||||
\(843\) | −136928. | + | 599922.i | −0.00663627 | + | 0.0290754i | ||||
\(844\) | −6.05570e7 | + | 2.91627e7i | −2.92623 | + | 1.40920i | ||||
\(845\) | 2.33471e7 | + | 1.12434e7i | 1.12484 | + | 0.541695i | ||||
\(846\) | −1.40671e6 | + | 6.16318e6i | −0.0675737 | + | 0.296060i | ||||
\(847\) | 6.27390e6 | + | 2.74878e7i | 0.300489 | + | 1.31653i | ||||
\(848\) | −9.48018e6 | + | 4.56542e6i | −0.452717 | + | 0.218017i | ||||
\(849\) | −572597. | + | 718014.i | −0.0272634 | + | 0.0341872i | ||||
\(850\) | −1.59725e7 | + | 2.00289e7i | −0.758275 | + | 0.950847i | ||||
\(851\) | −1.40553e6 | − | 676866.i | −0.0665296 | − | 0.0320390i | ||||
\(852\) | 3.07429e6 | + | 3.85504e6i | 0.145093 | + | 0.181941i | ||||
\(853\) | −3.05880e6 | −0.143939 | −0.0719694 | − | 0.997407i | \(-0.522928\pi\) | ||||
−0.0719694 | + | 0.997407i | \(0.522928\pi\) | |||||||
\(854\) | −3.61595e7 | − | 4.53425e7i | −1.69659 | − | 2.12746i | ||||
\(855\) | 55043.5 | + | 241161.i | 0.00257508 | + | 0.0112822i | ||||
\(856\) | −1.26151e7 | − | 5.52704e7i | −0.588445 | − | 2.57815i | ||||
\(857\) | −2.04857e7 | − | 2.56883e7i | −0.952795 | − | 1.19477i | −0.980772 | − | 0.195159i | \(-0.937478\pi\) |
0.0279765 | − | 0.999609i | \(-0.491094\pi\) | |||||||
\(858\) | 184451. | 0.00855387 | ||||||||
\(859\) | −1.25716e7 | − | 1.57643e7i | −0.581311 | − | 0.728941i | 0.401025 | − | 0.916067i | \(-0.368654\pi\) |
−0.982336 | + | 0.187127i | \(0.940083\pi\) | |||||||
\(860\) | −7.17854e7 | − | 3.45700e7i | −3.30971 | − | 1.59387i | ||||
\(861\) | 187188. | − | 234726.i | 0.00860539 | − | 0.0107908i | ||||
\(862\) | 1.13740e7 | − | 1.42626e7i | 0.521369 | − | 0.653777i | ||||
\(863\) | 1.57795e7 | − | 7.59899e6i | 0.721216 | − | 0.347319i | −0.0370066 | − | 0.999315i | \(-0.511782\pi\) |
0.758223 | + | 0.651996i | \(0.226068\pi\) | |||||||
\(864\) | −1.67892e6 | − | 7.35583e6i | −0.0765149 | − | 0.335234i | ||||
\(865\) | −1.22922e7 | + | 5.38557e7i | −0.558586 | + | 2.44733i | ||||
\(866\) | 5.71194e7 | + | 2.75073e7i | 2.58815 | + | 1.24639i | ||||
\(867\) | −767974. | + | 369837.i | −0.0346975 | + | 0.0167095i | ||||
\(868\) | 1.55388e7 | − | 6.80800e7i | 0.700033 | − | 3.06705i | ||||
\(869\) | 2.49074e6 | 0.111887 | ||||||||
\(870\) | −3.22066e6 | + | 307656.i | −0.144260 | + | 0.0137806i | ||||
\(871\) | 3.97949e6 | 0.177739 | ||||||||
\(872\) | −2.12992e7 | + | 9.33181e7i | −0.948578 | + | 4.15599i | ||||
\(873\) | 3.42109e7 | − | 1.64751e7i | 1.51925 | − | 0.731631i | ||||
\(874\) | −193106. | − | 92995.1i | −0.00855102 | − | 0.00411795i | ||||
\(875\) | 3.81894e6 | − | 1.67319e7i | 0.168625 | − | 0.738795i | ||||
\(876\) | −898017. | − | 3.93447e6i | −0.0395389 | − | 0.173231i | ||||
\(877\) | −7.85138e6 | + | 3.78102e6i | −0.344704 | + | 0.166001i | −0.598223 | − | 0.801330i | \(-0.704126\pi\) |
0.253519 | + | 0.967330i | \(0.418412\pi\) | |||||||
\(878\) | −4.76362e7 | + | 5.97339e7i | −2.08545 | + | 2.61508i | ||||
\(879\) | −245668. | + | 308057.i | −0.0107245 | + | 0.0134481i | ||||
\(880\) | 7.52235e6 | + | 3.62257e6i | 0.327451 | + | 0.157692i | ||||
\(881\) | −1.65510e7 | − | 2.07543e7i | −0.718429 | − | 0.900882i | 0.279819 | − | 0.960053i | \(-0.409726\pi\) |
−0.998248 | + | 0.0591710i | \(0.981154\pi\) | |||||||
\(882\) | −3.71543e7 | −1.60819 | ||||||||
\(883\) | 5.13892e6 | + | 6.44401e6i | 0.221805 | + | 0.278134i | 0.880266 | − | 0.474480i | \(-0.157364\pi\) |
−0.658462 | + | 0.752614i | \(0.728793\pi\) | |||||||
\(884\) | −8.67562e6 | − | 3.80104e7i | −0.373396 | − | 1.63596i | ||||
\(885\) | 279312. | + | 1.22375e6i | 0.0119876 | + | 0.0525210i | ||||
\(886\) | 1.48240e7 | + | 1.85887e7i | 0.634425 | + | 0.795544i | ||||
\(887\) | −1.94108e7 | −0.828388 | −0.414194 | − | 0.910189i | \(-0.635936\pi\) | ||||
−0.414194 | + | 0.910189i | \(0.635936\pi\) | |||||||
\(888\) | 261514. | + | 327929.i | 0.0111292 | + | 0.0139556i | ||||
\(889\) | 2.56490e7 | + | 1.23519e7i | 1.08847 | + | 0.524178i | ||||
\(890\) | 3.98351e7 | − | 4.99516e7i | 1.68574 | − | 2.11385i | ||||
\(891\) | 988749. | − | 1.23985e6i | 0.0417246 | − | 0.0523209i | ||||
\(892\) | 3.72230e7 | − | 1.79256e7i | 1.56639 | − | 0.754332i | ||||
\(893\) | −6348.50 | − | 27814.6i | −0.000266405 | − | 0.00116720i | ||||
\(894\) | 661441. | − | 2.89796e6i | 0.0276788 | − | 0.121269i | ||||
\(895\) | 3.39410e7 | + | 1.63451e7i | 1.41634 | + | 0.682073i | ||||
\(896\) | −7.82543e7 | + | 3.76853e7i | −3.25640 | + | 1.56820i | ||||
\(897\) | 232502. | − | 1.01866e6i | 0.00964817 | − | 0.0422714i | ||||
\(898\) | 7.43446e7 | 3.07651 | ||||||||
\(899\) | −2.69978e6 | + | 2.07858e7i | −0.111411 | + | 0.857763i | ||||
\(900\) | −8.86098e7 | −3.64649 | ||||||||
\(901\) | 361194. | − | 1.58250e6i | 0.0148228 | − | 0.0649427i | ||||
\(902\) | 589617. | − | 283944.i | 0.0241298 | − | 0.0116203i | ||||
\(903\) | −1.31140e6 | − | 631535.i | −0.0535198 | − | 0.0257738i | ||||
\(904\) | −4.73583e6 | + | 2.07490e7i | −0.192741 | + | 0.844455i | ||||
\(905\) | 391868. | + | 1.71688e6i | 0.0159044 | + | 0.0696819i | ||||
\(906\) | 1.31042e6 | − | 631067.i | 0.0530385 | − | 0.0255420i | ||||
\(907\) | 9.49910e6 | − | 1.19115e7i | 0.383411 | − | 0.480782i | −0.552252 | − | 0.833677i | \(-0.686231\pi\) |
0.935663 | + | 0.352895i | \(0.114803\pi\) | |||||||
\(908\) | 2.48063e7 | − | 3.11061e7i | 0.998498 | − | 1.25208i | ||||
\(909\) | 241049. | + | 116083.i | 0.00967599 | + | 0.00465971i | ||||
\(910\) | 8.38911e7 | + | 1.05196e8i | 3.35824 | + | 4.21110i | ||||
\(911\) | 8.62539e6 | 0.344336 | 0.172168 | − | 0.985068i | \(-0.444923\pi\) | ||||
0.172168 | + | 0.985068i | \(0.444923\pi\) | |||||||
\(912\) | 20362.9 | + | 25534.3i | 0.000810687 | + | 0.00101657i | ||||
\(913\) | 167810. | + | 735222.i | 0.00666254 | + | 0.0291905i | ||||
\(914\) | −1.51451e7 | − | 6.63548e7i | −0.599660 | − | 2.62728i | ||||
\(915\) | −1.24692e6 | − | 1.56358e6i | −0.0492362 | − | 0.0617402i | ||||
\(916\) | −1.31895e7 | −0.519387 | ||||||||
\(917\) | −4.08653e7 | − | 5.12434e7i | −1.60484 | − | 2.01240i | ||||
\(918\) | 2.01405e6 | + | 969917.i | 0.0788795 | + | 0.0379864i | ||||
\(919\) | −9.57485e6 | + | 1.20065e7i | −0.373976 | + | 0.468951i | −0.932831 | − | 0.360315i | \(-0.882669\pi\) |
0.558855 | + | 0.829265i | \(0.311241\pi\) | |||||||
\(920\) | 5.20307e7 | − | 6.52445e7i | 2.02670 | − | 2.54141i | ||||
\(921\) | 1.65302e6 | − | 796052.i | 0.0642139 | − | 0.0309238i | ||||
\(922\) | 1.60535e7 | + | 7.03351e7i | 0.621933 | + | 2.72486i | ||||
\(923\) | −1.36964e7 | + | 6.00079e7i | −0.529179 | + | 2.31849i | ||||
\(924\) | 281656. | + | 135638.i | 0.0108527 | + | 0.00522640i | ||||
\(925\) | 3.60054e6 | − | 1.73393e6i | 0.138361 | − | 0.0666310i | ||||
\(926\) | −2.11060e7 | + | 9.24716e7i | −0.808871 | + | 3.54390i | ||||
\(927\) | −3.06354e7 | −1.17091 | ||||||||
\(928\) | 7.86427e7 | − | 4.75732e7i | 2.99770 | − | 1.81339i | ||||
\(929\) | 9.71862e6 | 0.369458 | 0.184729 | − | 0.982789i | \(-0.440859\pi\) | ||||
0.184729 | + | 0.982789i | \(0.440859\pi\) | |||||||
\(930\) | 735696. | − | 3.22329e6i | 0.0278927 | − | 0.122206i | ||||
\(931\) | 151073. | − | 72752.9i | 0.00571232 | − | 0.00275091i | ||||
\(932\) | 4.84243e6 | + | 2.33199e6i | 0.182610 | + | 0.0879402i | ||||
\(933\) | −153015. | + | 670401.i | −0.00575478 | + | 0.0252134i | ||||
\(934\) | −1.60692e7 | − | 7.04038e7i | −0.602737 | − | 2.64076i | ||||
\(935\) | −1.16042e6 | + | 558830.i | −0.0434098 | + | 0.0209050i | ||||
\(936\) | 7.23837e7 | − | 9.07663e7i | 2.70054 | − | 3.38638i | ||||
\(937\) | −1.27740e7 | + | 1.60181e7i | −0.475311 | + | 0.596021i | −0.960463 | − | 0.278409i | \(-0.910193\pi\) |
0.485152 | + | 0.874430i | \(0.338764\pi\) | |||||||
\(938\) | 8.34316e6 | + | 4.01786e6i | 0.309616 | + | 0.149103i | ||||
\(939\) | 988548. | + | 1.23960e6i | 0.0365876 | + | 0.0458794i | ||||
\(940\) | 1.77160e7 | 0.653951 | ||||||||
\(941\) | 2.45220e7 | + | 3.07497e7i | 0.902781 | + | 1.13205i | 0.990719 | + | 0.135925i | \(0.0434008\pi\) |
−0.0879382 | + | 0.996126i | \(0.528028\pi\) | |||||||
\(942\) | −37377.6 | − | 163762.i | −0.00137241 | − | 0.00601293i | ||||
\(943\) | −824907. | − | 3.61416e6i | −0.0302083 | − | 0.132351i | ||||
\(944\) | −4.27015e7 | − | 5.35459e7i | −1.55960 | − | 1.95567i | ||||
\(945\) | −5.61892e6 | −0.204679 | ||||||||
\(946\) | −1.97818e6 | − | 2.48055e6i | −0.0718682 | − | 0.0901199i | ||||
\(947\) | 3.28105e7 | + | 1.58007e7i | 1.18888 | + | 0.572535i | 0.920487 | − | 0.390774i | \(-0.127793\pi\) |
0.268395 | + | 0.963309i | \(0.413507\pi\) | |||||||
\(948\) | −3.77216e6 | + | 4.73014e6i | −0.136323 | + | 0.170944i | ||||
\(949\) | 3.14097e7 | − | 3.93865e7i | 1.13213 | − | 1.41965i | ||||
\(950\) | 494680. | − | 238225.i | 0.0177834 | − | 0.00856405i | ||||
\(951\) | 226005. | + | 990193.i | 0.00810339 | + | 0.0355033i | ||||
\(952\) | 1.26583e7 | − | 5.54594e7i | 0.452670 | − | 1.98328i | ||||
\(953\) | 2.80955e7 | + | 1.35301e7i | 1.00209 | + | 0.482579i | 0.861646 | − | 0.507510i | \(-0.169434\pi\) |
0.140440 | + | 0.990089i | \(0.455148\pi\) | |||||||
\(954\) | 6.94516e6 | − | 3.34461e6i | 0.247065 | − | 0.118980i | ||||
\(955\) | −4.19989e6 | + | 1.84009e7i | −0.149015 | + | 0.652877i | ||||
\(956\) | −3.29022e7 | −1.16434 | ||||||||
\(957\) | −88030.3 | − | 32489.4i | −0.00310708 | − | 0.00114673i | ||||
\(958\) | −6.71962e7 | −2.36554 | ||||||||
\(959\) | 1.28410e7 | − | 5.62602e7i | 0.450872 | − | 1.97540i | ||||
\(960\) | −6.24693e6 | + | 3.00836e6i | −0.218770 | + | 0.105354i | ||||
\(961\) | 6.49568e6 | + | 3.12815e6i | 0.226890 | + | 0.109265i | ||||
\(962\) | −1.85814e6 | + | 8.14104e6i | −0.0647353 | + | 0.283624i | ||||
\(963\) | 5.23773e6 | + | 2.29480e7i | 0.182003 | + | 0.797405i | ||||
\(964\) | −8.73858e7 | + | 4.20828e7i | −3.02865 | + | 1.45852i | ||||
\(965\) | 6.79969e6 | − | 8.52654e6i | 0.235056 | − | 0.294751i | ||||
\(966\) | 1.51593e6 | − | 1.90091e6i | 0.0522679 | − | 0.0655419i | ||||
\(967\) | −1.27310e7 | − | 6.13094e6i | −0.437822 | − | 0.210844i | 0.201971 | − | 0.979392i | \(-0.435265\pi\) |
−0.639793 | + | 0.768548i | \(0.720980\pi\) | |||||||
\(968\) | −5.83605e7 | − | 7.31817e7i | −2.00185 | − | 2.51023i | ||||
\(969\) | −5038.18 | −0.000172371 | ||||||||
\(970\) | −9.10922e7 | − | 1.14226e8i | −3.10851 | − | 3.89794i | ||||
\(971\) | 8.09435e6 | + | 3.54637e7i | 0.275508 | + | 1.20708i | 0.903407 | + | 0.428784i | \(0.141058\pi\) |
−0.627900 | + | 0.778294i | \(0.716085\pi\) | |||||||
\(972\) | 2.58188e6 | + | 1.13119e7i | 0.0876536 | + | 0.384036i | ||||
\(973\) | −6.86628e6 | − | 8.61004e6i | −0.232509 | − | 0.291557i | ||||
\(974\) | −4.65200e7 | −1.57124 | ||||||||
\(975\) | 1.66883e6 | + | 2.09265e6i | 0.0562214 | + | 0.0704994i | ||||
\(976\) | 9.83134e7 | + | 4.73452e7i | 3.30360 | + | 1.59093i | ||||
\(977\) | 1.77879e7 | − | 2.23053e7i | 0.596195 | − | 0.747605i | −0.388584 | − | 0.921413i | \(-0.627036\pi\) |
0.984780 | + | 0.173808i | \(0.0556071\pi\) | |||||||
\(978\) | 2.38493e6 | − | 2.99061e6i | 0.0797313 | − | 0.0999799i | ||||
\(979\) | 1.66951e6 | − | 803996.i | 0.0556716 | − | 0.0268100i | ||||
\(980\) | 2.31693e7 | + | 1.01511e8i | 0.770632 | + | 3.37636i | ||||
\(981\) | 8.84335e6 | − | 3.87452e7i | 0.293389 | − | 1.28542i | ||||
\(982\) | −3.73320e7 | − | 1.79781e7i | −1.23538 | − | 0.594930i | ||||
\(983\) | −2.95123e7 | + | 1.42124e7i | −0.974135 | + | 0.469119i | −0.852084 | − | 0.523405i | \(-0.824661\pi\) |
−0.122051 | + | 0.992524i | \(0.538947\pi\) | |||||||
\(984\) | −221790. | + | 971727.i | −0.00730222 | + | 0.0319931i | ||||
\(985\) | 1.47855e7 | 0.485563 | ||||||||
\(986\) | −3.50756e6 | + | 2.70049e7i | −0.114898 | + | 0.884608i | ||||
\(987\) | 323641. | 0.0105747 | ||||||||
\(988\) | −185939. | + | 814653.i | −0.00606008 | + | 0.0265510i | ||||
\(989\) | −1.61927e7 | + | 7.79800e6i | −0.526416 | + | 0.253508i | ||||
\(990\) | −5.51085e6 | − | 2.65389e6i | −0.178703 | − | 0.0860586i | ||||
\(991\) | 5.17674e6 | − | 2.26808e7i | 0.167445 | − | 0.733625i | −0.819568 | − | 0.572982i | \(-0.805786\pi\) |
0.987013 | − | 0.160642i | \(-0.0513565\pi\) | |||||||
\(992\) | 2.09004e7 | + | 9.15706e7i | 0.674334 | + | 2.95445i | ||||
\(993\) | −1.40263e6 | + | 675472.i | −0.0451409 | + | 0.0217387i | ||||
\(994\) | −8.93016e7 | + | 1.11981e8i | −2.86677 | + | 3.59482i | ||||
\(995\) | 1.21663e7 | − | 1.52560e7i | 0.389583 | − | 0.488522i | ||||
\(996\) | −1.65039e6 | − | 794788.i | −0.0527156 | − | 0.0253865i | ||||
\(997\) | −2.51312e7 | − | 3.15136e7i | −0.800712 | − | 1.00406i | −0.999710 | − | 0.0240609i | \(-0.992340\pi\) |
0.198999 | − | 0.980000i | \(-0.436231\pi\) | |||||||
\(998\) | −7.44602e7 | −2.36645 | ||||||||
\(999\) | −217422. | − | 272639.i | −0.00689271 | − | 0.00864318i |
(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 | 29.6.d.a.25.1 | yes | 66 | |
29.6 | even | 14 | 841.6.a.h.1.1 | 33 | |||
29.7 | even | 7 | inner | 29.6.d.a.7.1 | ✓ | 66 | |
29.23 | even | 7 | 841.6.a.i.1.33 | 33 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
29.6.d.a.7.1 | ✓ | 66 | 29.7 | even | 7 | inner | |
29.6.d.a.25.1 | yes | 66 | 1.1 | even | 1 | trivial | |
841.6.a.h.1.1 | 33 | 29.6 | even | 14 | |||
841.6.a.i.1.33 | 33 | 29.23 | even | 7 |