Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [41,6,Mod(4,41)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(41, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([3]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("41.4");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 41 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 41.f (of order \(10\), 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: | \(6.57573661233\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 4.9 | ||
Character | \(\chi\) | \(=\) | 41.4 |
Dual form | 41.6.f.a.31.9 |
$q$-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 \(\left(\mathbb{Z}/41\mathbb{Z}\right)^\times\).
\(n\) | \(6\) |
\(\chi(n)\) | \(e\left(\frac{3}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.345180 | + | 0.250788i | −0.0610198 | + | 0.0443335i | −0.617877 | − | 0.786275i | \(-0.712007\pi\) |
0.556857 | + | 0.830608i | \(0.312007\pi\) | |||||||
\(3\) | − | 28.7734i | − | 1.84582i | −0.385021 | − | 0.922908i | \(-0.625806\pi\) | ||
0.385021 | − | 0.922908i | \(-0.374194\pi\) | |||||||
\(4\) | −9.83229 | + | 30.2607i | −0.307259 | + | 0.945646i | ||||
\(5\) | 16.3294 | − | 50.2566i | 0.292109 | − | 0.899018i | −0.692069 | − | 0.721832i | \(-0.743301\pi\) |
0.984177 | − | 0.177186i | \(-0.0566994\pi\) | |||||||
\(6\) | 7.21603 | + | 9.93201i | 0.0818315 | + | 0.112631i | ||||
\(7\) | 26.2129 | − | 36.0790i | 0.202195 | − | 0.278298i | −0.695863 | − | 0.718175i | \(-0.744978\pi\) |
0.898058 | + | 0.439877i | \(0.144978\pi\) | |||||||
\(8\) | −8.41421 | − | 25.8963i | −0.0464824 | − | 0.143058i | ||||
\(9\) | −584.909 | −2.40703 | ||||||||
\(10\) | 6.96719 | + | 21.4428i | 0.0220322 | + | 0.0678081i | ||||
\(11\) | −551.496 | + | 179.192i | −1.37423 | + | 0.446516i | −0.900770 | − | 0.434297i | \(-0.856997\pi\) |
−0.473464 | + | 0.880813i | \(0.656997\pi\) | |||||||
\(12\) | 870.703 | + | 282.909i | 1.74549 | + | 0.567143i | ||||
\(13\) | 2.12124 | + | 2.91964i | 0.00348122 | + | 0.00479149i | 0.810754 | − | 0.585387i | \(-0.199057\pi\) |
−0.807273 | + | 0.590178i | \(0.799057\pi\) | |||||||
\(14\) | 19.0276i | 0.0259457i | ||||||||
\(15\) | −1446.05 | − | 469.852i | −1.65942 | − | 0.539178i | ||||
\(16\) | −814.322 | − | 591.639i | −0.795236 | − | 0.577773i | ||||
\(17\) | −248.944 | + | 80.8869i | −0.208920 | + | 0.0678822i | −0.411607 | − | 0.911361i | \(-0.635032\pi\) |
0.202687 | + | 0.979243i | \(0.435032\pi\) | |||||||
\(18\) | 201.899 | − | 146.688i | 0.146877 | − | 0.106712i | ||||
\(19\) | 1725.75 | − | 2375.29i | 1.09671 | − | 1.50950i | 0.257046 | − | 0.966399i | \(-0.417251\pi\) |
0.839669 | − | 0.543099i | \(-0.182749\pi\) | |||||||
\(20\) | 1360.24 | + | 988.275i | 0.760399 | + | 0.552463i | ||||
\(21\) | −1038.12 | − | 754.235i | −0.513686 | − | 0.373215i | ||||
\(22\) | 145.426 | − | 200.162i | 0.0640599 | − | 0.0881709i | ||||
\(23\) | 111.274 | − | 80.8450i | 0.0438604 | − | 0.0318665i | −0.565639 | − | 0.824653i | \(-0.691370\pi\) |
0.609499 | + | 0.792786i | \(0.291370\pi\) | |||||||
\(24\) | −745.125 | + | 242.106i | −0.264059 | + | 0.0857979i | ||||
\(25\) | 269.099 | + | 195.512i | 0.0861117 | + | 0.0625638i | ||||
\(26\) | −1.46442 | − | 0.475819i | −0.000424847 | − | 0.000138041i | ||||
\(27\) | 9837.90i | 2.59713i | ||||||||
\(28\) | 834.042 | + | 1147.96i | 0.201045 | + | 0.276714i | ||||
\(29\) | 3791.61 | + | 1231.97i | 0.837200 | + | 0.272023i | 0.696075 | − | 0.717969i | \(-0.254928\pi\) |
0.141125 | + | 0.989992i | \(0.454928\pi\) | |||||||
\(30\) | 616.983 | − | 200.470i | 0.125161 | − | 0.0406673i | ||||
\(31\) | −1709.24 | − | 5260.49i | −0.319447 | − | 0.983156i | −0.973885 | − | 0.227041i | \(-0.927095\pi\) |
0.654439 | − | 0.756115i | \(-0.272905\pi\) | |||||||
\(32\) | 1300.79 | 0.224560 | ||||||||
\(33\) | 5155.96 | + | 15868.4i | 0.824186 | + | 2.53658i | ||||
\(34\) | 65.6451 | − | 90.3528i | 0.00973880 | − | 0.0134043i | ||||
\(35\) | −1385.17 | − | 1906.52i | −0.191132 | − | 0.263070i | ||||
\(36\) | 5751.00 | − | 17699.8i | 0.739583 | − | 2.27620i | ||||
\(37\) | 4395.74 | − | 13528.7i | 0.527871 | − | 1.62462i | −0.230698 | − | 0.973025i | \(-0.574101\pi\) |
0.758568 | − | 0.651593i | \(-0.225899\pi\) | |||||||
\(38\) | 1252.70i | 0.140731i | ||||||||
\(39\) | 84.0079 | − | 61.0353i | 0.00884420 | − | 0.00642569i | ||||
\(40\) | −1438.86 | −0.142190 | ||||||||
\(41\) | −10459.4 | − | 2540.89i | −0.971738 | − | 0.236062i | ||||
\(42\) | 547.490 | 0.0478909 | ||||||||
\(43\) | 8151.67 | − | 5922.53i | 0.672319 | − | 0.488468i | −0.198482 | − | 0.980105i | \(-0.563601\pi\) |
0.870801 | + | 0.491636i | \(0.163601\pi\) | |||||||
\(44\) | − | 18450.5i | − | 1.43674i | ||||||
\(45\) | −9551.20 | + | 29395.6i | −0.703115 | + | 2.16397i | ||||
\(46\) | −18.1345 | + | 55.8122i | −0.00126360 | + | 0.00388897i | ||||
\(47\) | 252.646 | + | 347.738i | 0.0166828 | + | 0.0229619i | 0.817277 | − | 0.576245i | \(-0.195483\pi\) |
−0.800594 | + | 0.599207i | \(0.795483\pi\) | |||||||
\(48\) | −17023.5 | + | 23430.8i | −1.06646 | + | 1.46786i | ||||
\(49\) | 4579.07 | + | 14092.9i | 0.272450 | + | 0.838516i | ||||
\(50\) | −141.920 | −0.00802820 | ||||||||
\(51\) | 2327.39 | + | 7162.97i | 0.125298 | + | 0.385627i | ||||
\(52\) | −109.207 | + | 35.4834i | −0.00560069 | + | 0.00181977i | ||||
\(53\) | −21453.2 | − | 6970.58i | −1.04907 | − | 0.340863i | −0.266765 | − | 0.963762i | \(-0.585955\pi\) |
−0.782302 | + | 0.622899i | \(0.785955\pi\) | |||||||
\(54\) | −2467.23 | − | 3395.85i | −0.115140 | − | 0.158476i | ||||
\(55\) | 30642.4i | 1.36589i | ||||||||
\(56\) | −1154.87 | − | 375.241i | −0.0492112 | − | 0.0159897i | ||||
\(57\) | −68345.2 | − | 49655.7i | −2.78626 | − | 2.02433i | ||||
\(58\) | −1617.75 | + | 525.640i | −0.0631455 | + | 0.0205172i | ||||
\(59\) | 36516.7 | − | 26530.9i | 1.36572 | − | 0.992252i | 0.367660 | − | 0.929960i | \(-0.380159\pi\) |
0.998058 | − | 0.0622922i | \(-0.0198411\pi\) | |||||||
\(60\) | 28436.0 | − | 39138.9i | 1.01974 | − | 1.40356i | ||||
\(61\) | −702.001 | − | 510.034i | −0.0241553 | − | 0.0175499i | 0.575642 | − | 0.817702i | \(-0.304752\pi\) |
−0.599797 | + | 0.800152i | \(0.704752\pi\) | |||||||
\(62\) | 1909.26 | + | 1387.16i | 0.0630793 | + | 0.0458298i | ||||
\(63\) | −15332.2 | + | 21102.9i | −0.486690 | + | 0.669872i | ||||
\(64\) | 25609.3 | − | 18606.2i | 0.781533 | − | 0.567817i | ||||
\(65\) | 181.370 | − | 58.9305i | 0.00532453 | − | 0.00173004i | ||||
\(66\) | −5759.35 | − | 4184.41i | −0.162747 | − | 0.118243i | ||||
\(67\) | 35139.3 | + | 11417.4i | 0.956325 | + | 0.310729i | 0.745283 | − | 0.666748i | \(-0.232314\pi\) |
0.211042 | + | 0.977477i | \(0.432314\pi\) | |||||||
\(68\) | − | 8328.52i | − | 0.218422i | ||||||
\(69\) | −2326.19 | − | 3201.72i | −0.0588196 | − | 0.0809582i | ||||
\(70\) | 956.265 | + | 310.709i | 0.0233256 | + | 0.00757895i | ||||
\(71\) | −11259.7 | + | 3658.49i | −0.265082 | + | 0.0861304i | −0.438542 | − | 0.898710i | \(-0.644505\pi\) |
0.173460 | + | 0.984841i | \(0.444505\pi\) | |||||||
\(72\) | 4921.55 | + | 15147.0i | 0.111885 | + | 0.344346i | ||||
\(73\) | −50373.4 | −1.10635 | −0.553177 | − | 0.833064i | \(-0.686585\pi\) | ||||
−0.553177 | + | 0.833064i | \(0.686585\pi\) | |||||||
\(74\) | 1875.51 | + | 5772.24i | 0.0398145 | + | 0.122536i | ||||
\(75\) | 5625.55 | − | 7742.90i | 0.115481 | − | 0.158946i | ||||
\(76\) | 54909.8 | + | 75576.9i | 1.09048 | + | 1.50091i | ||||
\(77\) | −7991.26 | + | 24594.6i | −0.153599 | + | 0.472729i | ||||
\(78\) | −13.6909 | + | 42.1364i | −0.000254798 | + | 0.000784189i | ||||
\(79\) | 34467.5i | 0.621358i | 0.950515 | + | 0.310679i | \(0.100556\pi\) | ||||
−0.950515 | + | 0.310679i | \(0.899444\pi\) | |||||||
\(80\) | −43031.1 | + | 31264.0i | −0.751723 | + | 0.546159i | ||||
\(81\) | 140937. | 2.38678 | ||||||||
\(82\) | 4247.62 | − | 1746.04i | 0.0697607 | − | 0.0286761i | ||||
\(83\) | −13477.9 | −0.214747 | −0.107373 | − | 0.994219i | \(-0.534244\pi\) | ||||
−0.107373 | + | 0.994219i | \(0.534244\pi\) | |||||||
\(84\) | 33030.7 | − | 23998.2i | 0.510764 | − | 0.371091i | ||||
\(85\) | 13831.9i | 0.207652i | ||||||||
\(86\) | −1328.49 | + | 4088.68i | −0.0193693 | + | 0.0596125i | ||||
\(87\) | 35448.0 | − | 109098.i | 0.502104 | − | 1.54532i | ||||
\(88\) | 9280.81 | + | 12773.9i | 0.127755 | + | 0.175840i | ||||
\(89\) | −27286.4 | + | 37556.6i | −0.365150 | + | 0.502586i | −0.951575 | − | 0.307418i | \(-0.900535\pi\) |
0.586424 | + | 0.810004i | \(0.300535\pi\) | |||||||
\(90\) | −4075.17 | − | 12542.1i | −0.0530322 | − | 0.163216i | ||||
\(91\) | 160.941 | 0.00203734 | ||||||||
\(92\) | 1352.35 | + | 4162.11i | 0.0166579 | + | 0.0512677i | ||||
\(93\) | −151362. | + | 49180.6i | −1.81472 | + | 0.589640i | ||||
\(94\) | −174.417 | − | 56.6715i | −0.00203596 | − | 0.000661523i | ||||
\(95\) | −91193.6 | − | 125517.i | −1.03671 | − | 1.42690i | ||||
\(96\) | − | 37428.2i | − | 0.414496i | ||||||
\(97\) | 88458.6 | + | 28741.9i | 0.954576 | + | 0.310161i | 0.744574 | − | 0.667540i | \(-0.232653\pi\) |
0.210002 | + | 0.977701i | \(0.432653\pi\) | |||||||
\(98\) | −5114.95 | − | 3716.23i | −0.0537992 | − | 0.0390874i | ||||
\(99\) | 322575. | − | 104811.i | 3.30783 | − | 1.07478i | ||||
\(100\) | −8562.19 | + | 6220.79i | −0.0856219 | + | 0.0622079i | ||||
\(101\) | −81970.2 | + | 112822.i | −0.799563 | + | 1.10050i | 0.193288 | + | 0.981142i | \(0.438085\pi\) |
−0.992851 | + | 0.119362i | \(0.961915\pi\) | |||||||
\(102\) | −2599.76 | − | 1888.83i | −0.0247419 | − | 0.0179760i | ||||
\(103\) | 93776.1 | + | 68132.3i | 0.870962 | + | 0.632791i | 0.930845 | − | 0.365415i | \(-0.119073\pi\) |
−0.0598832 | + | 0.998205i | \(0.519073\pi\) | |||||||
\(104\) | 57.7592 | − | 79.4987i | 0.000523646 | − | 0.000720737i | ||||
\(105\) | −54857.1 | + | 39856.0i | −0.485579 | + | 0.352793i | ||||
\(106\) | 9153.38 | − | 2974.11i | 0.0791255 | − | 0.0257094i | ||||
\(107\) | 87905.7 | + | 63867.3i | 0.742263 | + | 0.539286i | 0.893419 | − | 0.449224i | \(-0.148300\pi\) |
−0.151156 | + | 0.988510i | \(0.548300\pi\) | |||||||
\(108\) | −297702. | − | 96729.1i | −2.45596 | − | 0.797991i | ||||
\(109\) | − | 178191.i | − | 1.43655i | −0.695761 | − | 0.718273i | \(-0.744933\pi\) | ||
0.695761 | − | 0.718273i | \(-0.255067\pi\) | |||||||
\(110\) | −7684.75 | − | 10577.2i | −0.0605548 | − | 0.0833465i | ||||
\(111\) | −389267. | − | 126480.i | −2.99875 | − | 0.974352i | ||||
\(112\) | −42691.5 | + | 13871.3i | −0.321585 | + | 0.104489i | ||||
\(113\) | 39569.2 | + | 121781.i | 0.291515 | + | 0.897191i | 0.984370 | + | 0.176114i | \(0.0563527\pi\) |
−0.692855 | + | 0.721077i | \(0.743647\pi\) | |||||||
\(114\) | 36044.5 | 0.259763 | ||||||||
\(115\) | −2245.97 | − | 6912.38i | −0.0158365 | − | 0.0487397i | ||||
\(116\) | −74560.5 | + | 102624.i | −0.514474 | + | 0.708113i | ||||
\(117\) | −1240.73 | − | 1707.72i | −0.00837942 | − | 0.0115333i | ||||
\(118\) | −5951.19 | + | 18315.9i | −0.0393459 | + | 0.121094i | ||||
\(119\) | −3607.24 | + | 11101.9i | −0.0233511 | + | 0.0718673i | ||||
\(120\) | 41400.9i | 0.262456i | ||||||||
\(121\) | 141745. | − | 102984.i | 0.880126 | − | 0.639449i | ||||
\(122\) | 370.227 | 0.00225200 | ||||||||
\(123\) | −73110.0 | + | 300954.i | −0.435727 | + | 1.79365i | ||||
\(124\) | 175992. | 1.02787 | ||||||||
\(125\) | 147816. | − | 107395.i | 0.846150 | − | 0.614764i | ||||
\(126\) | − | 11129.5i | − | 0.0624521i | ||||||
\(127\) | −41997.0 | + | 129253.i | −0.231051 | + | 0.711103i | 0.766569 | + | 0.642162i | \(0.221962\pi\) |
−0.997621 | + | 0.0689416i | \(0.978038\pi\) | |||||||
\(128\) | −17036.5 | + | 52433.0i | −0.0919086 | + | 0.282866i | ||||
\(129\) | −170412. | − | 234551.i | −0.901623 | − | 1.24098i | ||||
\(130\) | −47.8261 | + | 65.8270i | −0.000248203 | + | 0.000341622i | ||||
\(131\) | −33178.0 | − | 102112.i | −0.168917 | − | 0.519872i | 0.830387 | − | 0.557187i | \(-0.188119\pi\) |
−0.999304 | + | 0.0373152i | \(0.988119\pi\) | |||||||
\(132\) | −530884. | −2.65195 | ||||||||
\(133\) | −40461.1 | − | 124527.i | −0.198339 | − | 0.610426i | ||||
\(134\) | −14992.7 | + | 4871.43i | −0.0721305 | + | 0.0234366i | ||||
\(135\) | 494420. | + | 160647.i | 2.33486 | + | 0.758643i | ||||
\(136\) | 4189.34 | + | 5766.13i | 0.0194222 | + | 0.0267323i | ||||
\(137\) | − | 299997.i | − | 1.36557i | −0.730617 | − | 0.682787i | \(-0.760768\pi\) | ||
0.730617 | − | 0.682787i | \(-0.239232\pi\) | |||||||
\(138\) | 1605.91 | + | 521.791i | 0.00717832 | + | 0.00233238i | ||||
\(139\) | 55336.9 | + | 40204.6i | 0.242928 | + | 0.176498i | 0.702587 | − | 0.711598i | \(-0.252028\pi\) |
−0.459659 | + | 0.888096i | \(0.652028\pi\) | |||||||
\(140\) | 71311.9 | − | 23170.7i | 0.307498 | − | 0.0999121i | ||||
\(141\) | 10005.6 | − | 7269.49i | 0.0423833 | − | 0.0307933i | ||||
\(142\) | 2969.11 | − | 4086.63i | 0.0123568 | − | 0.0170077i | ||||
\(143\) | −1693.03 | − | 1230.06i | −0.00692349 | − | 0.00503021i | ||||
\(144\) | 476304. | + | 346055.i | 1.91416 | + | 1.39072i | ||||
\(145\) | 123829. | − | 170436.i | 0.489106 | − | 0.673197i | ||||
\(146\) | 17387.9 | − | 12633.0i | 0.0675095 | − | 0.0490485i | ||||
\(147\) | 405502. | − | 131756.i | 1.54775 | − | 0.502893i | ||||
\(148\) | 366167. | + | 266036.i | 1.37412 | + | 0.998358i | ||||
\(149\) | −463345. | − | 150550.i | −1.70977 | − | 0.555539i | −0.719478 | − | 0.694515i | \(-0.755619\pi\) |
−0.990296 | + | 0.138976i | \(0.955619\pi\) | |||||||
\(150\) | 4083.52i | 0.0148186i | ||||||||
\(151\) | −26936.9 | − | 37075.5i | −0.0961404 | − | 0.132326i | 0.758237 | − | 0.651979i | \(-0.226061\pi\) |
−0.854377 | + | 0.519653i | \(0.826061\pi\) | |||||||
\(152\) | −76032.0 | − | 24704.3i | −0.266924 | − | 0.0867288i | ||||
\(153\) | 145610. | − | 47311.5i | 0.502877 | − | 0.163395i | ||||
\(154\) | −3409.60 | − | 10493.7i | −0.0115852 | − | 0.0356554i | ||||
\(155\) | −292285. | −0.977187 | ||||||||
\(156\) | 1020.98 | + | 3142.25i | 0.00335897 | + | 0.0103378i | ||||
\(157\) | −231182. | + | 318195.i | −0.748523 | + | 1.03025i | 0.249560 | + | 0.968359i | \(0.419714\pi\) |
−0.998083 | + | 0.0618940i | \(0.980286\pi\) | |||||||
\(158\) | −8644.04 | − | 11897.5i | −0.0275470 | − | 0.0379152i | ||||
\(159\) | −200567. | + | 617283.i | −0.629169 | + | 1.93638i | ||||
\(160\) | 21241.1 | − | 65373.3i | 0.0655959 | − | 0.201883i | ||||
\(161\) | − | 6133.83i | − | 0.0186495i | ||||||
\(162\) | −48648.7 | + | 35345.3i | −0.145641 | + | 0.105814i | ||||
\(163\) | −110906. | −0.326954 | −0.163477 | − | 0.986547i | \(-0.552271\pi\) | ||||
−0.163477 | + | 0.986547i | \(0.552271\pi\) | |||||||
\(164\) | 179729. | − | 291527.i | 0.521806 | − | 0.846388i | ||||
\(165\) | 881687. | 2.52118 | ||||||||
\(166\) | 4652.30 | − | 3380.09i | 0.0131038 | − | 0.00952047i | ||||
\(167\) | − | 248999.i | − | 0.690887i | −0.938440 | − | 0.345444i | \(-0.887728\pi\) | ||
0.938440 | − | 0.345444i | \(-0.112272\pi\) | |||||||
\(168\) | −10797.0 | + | 33229.6i | −0.0295140 | + | 0.0908349i | ||||
\(169\) | 114732. | − | 353108.i | 0.309006 | − | 0.951023i | ||||
\(170\) | −3468.88 | − | 4774.51i | −0.00920592 | − | 0.0126709i | ||||
\(171\) | −1.00941e6 | + | 1.38933e6i | −2.63983 | + | 3.63341i | ||||
\(172\) | 99070.3 | + | 304907.i | 0.255342 | + | 0.785862i | ||||
\(173\) | 426554. | 1.08358 | 0.541788 | − | 0.840515i | \(-0.317748\pi\) | ||||
0.541788 | + | 0.840515i | \(0.317748\pi\) | |||||||
\(174\) | 15124.5 | + | 46548.3i | 0.0378710 | + | 0.116555i | ||||
\(175\) | 14107.8 | − | 4583.89i | 0.0348227 | − | 0.0113146i | ||||
\(176\) | 555112. | + | 180367.i | 1.35083 | + | 0.438910i | ||||
\(177\) | −763385. | − | 1.05071e6i | −1.83151 | − | 2.52086i | ||||
\(178\) | − | 19806.9i | − | 0.0468561i | ||||||
\(179\) | 217183. | + | 70567.1i | 0.506633 | + | 0.164615i | 0.551171 | − | 0.834393i | \(-0.314181\pi\) |
−0.0445373 | + | 0.999008i | \(0.514181\pi\) | |||||||
\(180\) | −795619. | − | 578051.i | −1.83031 | − | 1.32980i | ||||
\(181\) | 561641. | − | 182488.i | 1.27427 | − | 0.414036i | 0.407714 | − | 0.913110i | \(-0.366326\pi\) |
0.866560 | + | 0.499073i | \(0.166326\pi\) | |||||||
\(182\) | −55.5538 | + | 40.3622i | −0.000124318 | + | 9.03226e-5i | ||||
\(183\) | −14675.4 | + | 20199.0i | −0.0323939 | + | 0.0445863i | ||||
\(184\) | −3029.87 | − | 2201.33i | −0.00659749 | − | 0.00479336i | ||||
\(185\) | −608127. | − | 441830.i | −1.30637 | − | 0.949130i | ||||
\(186\) | 39913.4 | − | 54936.1i | 0.0845933 | − | 0.116433i | ||||
\(187\) | 122797. | − | 89217.6i | 0.256794 | − | 0.186572i | ||||
\(188\) | −13006.9 | + | 4226.19i | −0.0268397 | + | 0.00872075i | ||||
\(189\) | 354942. | + | 257880.i | 0.722774 | + | 0.525126i | ||||
\(190\) | 62956.5 | + | 20455.8i | 0.126519 | + | 0.0411086i | ||||
\(191\) | − | 83275.0i | − | 0.165170i | −0.996584 | − | 0.0825850i | \(-0.973682\pi\) | ||
0.996584 | − | 0.0825850i | \(-0.0263176\pi\) | |||||||
\(192\) | −535365. | − | 736867.i | −1.04809 | − | 1.44257i | ||||
\(193\) | −361472. | − | 117449.i | −0.698525 | − | 0.226964i | −0.0618371 | − | 0.998086i | \(-0.519696\pi\) |
−0.636688 | + | 0.771122i | \(0.719696\pi\) | |||||||
\(194\) | −37742.3 | + | 12263.2i | −0.0719986 | + | 0.0233938i | ||||
\(195\) | −1695.63 | − | 5218.62i | −0.00319334 | − | 0.00982809i | ||||
\(196\) | −471484. | −0.876652 | ||||||||
\(197\) | 229624. | + | 706709.i | 0.421552 | + | 1.29740i | 0.906257 | + | 0.422726i | \(0.138927\pi\) |
−0.484705 | + | 0.874677i | \(0.661073\pi\) | |||||||
\(198\) | −85061.2 | + | 117077.i | −0.154194 | + | 0.212230i | ||||
\(199\) | 62043.6 | + | 85395.7i | 0.111062 | + | 0.152863i | 0.860929 | − | 0.508725i | \(-0.169883\pi\) |
−0.749868 | + | 0.661588i | \(0.769883\pi\) | |||||||
\(200\) | 2798.78 | − | 8613.75i | 0.00494759 | − | 0.0152271i | ||||
\(201\) | 328519. | − | 1.01108e6i | 0.573548 | − | 1.76520i | ||||
\(202\) | − | 59501.2i | − | 0.102600i | ||||||
\(203\) | 143838. | − | 104504.i | 0.244981 | − | 0.177989i | ||||
\(204\) | −239640. | −0.403166 | ||||||||
\(205\) | −298493. | + | 484165.i | −0.496077 | + | 0.804654i | ||||
\(206\) | −49456.4 | −0.0811997 | ||||||||
\(207\) | −65085.0 | + | 47287.0i | −0.105574 | + | 0.0767037i | ||||
\(208\) | − | 3632.53i | − | 0.00582172i | ||||||
\(209\) | −526111. | + | 1.61920e6i | −0.833128 | + | 2.56410i | ||||
\(210\) | 8940.17 | − | 27515.0i | 0.0139893 | − | 0.0430548i | ||||
\(211\) | 126307. | + | 173847.i | 0.195309 | + | 0.268819i | 0.895428 | − | 0.445207i | \(-0.146870\pi\) |
−0.700119 | + | 0.714026i | \(0.746870\pi\) | |||||||
\(212\) | 421869. | − | 580653.i | 0.644671 | − | 0.887313i | ||||
\(213\) | 105267. | + | 323980.i | 0.158981 | + | 0.489293i | ||||
\(214\) | −46360.5 | −0.0692012 | ||||||||
\(215\) | −164535. | − | 506387.i | −0.242752 | − | 0.747112i | ||||
\(216\) | 254765. | − | 82778.2i | 0.371540 | − | 0.120721i | ||||
\(217\) | −234597. | − | 76225.3i | −0.338200 | − | 0.109888i | ||||
\(218\) | 44688.2 | + | 61508.0i | 0.0636871 | + | 0.0876578i | ||||
\(219\) | 1.44941e6i | 2.04212i | ||||||||
\(220\) | −927260. | − | 301285.i | −1.29165 | − | 0.419683i | ||||
\(221\) | −764.231 | − | 555.246i | −0.00105255 | − | 0.000764724i | ||||
\(222\) | 166087. | − | 53964.9i | 0.226179 | − | 0.0734901i | ||||
\(223\) | 365549. | − | 265587.i | 0.492247 | − | 0.357638i | −0.313801 | − | 0.949489i | \(-0.601602\pi\) |
0.806048 | + | 0.591851i | \(0.201602\pi\) | |||||||
\(224\) | 34097.5 | − | 46931.2i | 0.0454049 | − | 0.0624945i | ||||
\(225\) | −157399. | − | 114357.i | −0.207274 | − | 0.150593i | ||||
\(226\) | −44199.8 | − | 32113.1i | −0.0575638 | − | 0.0418226i | ||||
\(227\) | −829534. | + | 1.14176e6i | −1.06849 | + | 1.47065i | −0.196891 | + | 0.980425i | \(0.563084\pi\) |
−0.871597 | + | 0.490222i | \(0.836916\pi\) | |||||||
\(228\) | 2.17460e6 | − | 1.57994e6i | 2.77040 | − | 2.01282i | ||||
\(229\) | −896810. | + | 291391.i | −1.13009 | + | 0.367187i | −0.813609 | − | 0.581413i | \(-0.802500\pi\) |
−0.316477 | + | 0.948600i | \(0.602500\pi\) | |||||||
\(230\) | 2508.81 | + | 1822.76i | 0.00312714 | + | 0.00227200i | ||||
\(231\) | 707670. | + | 229936.i | 0.872571 | + | 0.283515i | ||||
\(232\) | − | 108555.i | − | 0.132412i | ||||||
\(233\) | −520749. | − | 716749.i | −0.628403 | − | 0.864923i | 0.369528 | − | 0.929220i | \(-0.379519\pi\) |
−0.997931 | + | 0.0642971i | \(0.979519\pi\) | |||||||
\(234\) | 856.553 | + | 278.311i | 0.00102262 | + | 0.000332270i | ||||
\(235\) | 21601.7 | − | 7018.80i | 0.0255163 | − | 0.00829074i | ||||
\(236\) | 443801. | + | 1.36588e6i | 0.518690 | + | 1.59636i | ||||
\(237\) | 991748. | 1.14691 | ||||||||
\(238\) | −1539.09 | − | 4736.82i | −0.00176125 | − | 0.00542057i | ||||
\(239\) | 634164. | − | 872851.i | 0.718136 | − | 0.988429i | −0.281448 | − | 0.959576i | \(-0.590815\pi\) |
0.999584 | − | 0.0288525i | \(-0.00918530\pi\) | |||||||
\(240\) | 899571. | + | 1.23815e6i | 1.00811 | + | 1.38754i | ||||
\(241\) | 247232. | − | 760901.i | 0.274196 | − | 0.843890i | −0.715235 | − | 0.698885i | \(-0.753680\pi\) |
0.989431 | − | 0.145005i | \(-0.0463199\pi\) | |||||||
\(242\) | −23100.5 | + | 71096.0i | −0.0253561 | + | 0.0780381i | ||||
\(243\) | − | 1.66463e6i | − | 1.80843i | ||||||
\(244\) | 22336.2 | − | 16228.2i | 0.0240179 | − | 0.0174500i | ||||
\(245\) | 783036. | 0.833425 | ||||||||
\(246\) | −50239.6 | − | 122219.i | −0.0529308 | − | 0.128765i | ||||
\(247\) | 10595.7 | 0.0110506 | ||||||||
\(248\) | −121845. | + | 88525.8i | −0.125800 | + | 0.0913989i | ||||
\(249\) | 387805.i | 0.396383i | ||||||||
\(250\) | −24089.9 | + | 74141.2i | −0.0243773 | + | 0.0750256i | ||||
\(251\) | 1477.61 | − | 4547.60i | 0.00148038 | − | 0.00455615i | −0.950314 | − | 0.311294i | \(-0.899238\pi\) |
0.951794 | + | 0.306738i | \(0.0992375\pi\) | |||||||
\(252\) | −487839. | − | 671453.i | −0.483922 | − | 0.666061i | ||||
\(253\) | −46880.2 | + | 64525.1i | −0.0460456 | + | 0.0633763i | ||||
\(254\) | −17918.7 | − | 55148.1i | −0.0174270 | − | 0.0536347i | ||||
\(255\) | 397992. | 0.383286 | ||||||||
\(256\) | 305751. | + | 941005.i | 0.291587 | + | 0.897413i | ||||
\(257\) | −511642. | + | 166243.i | −0.483207 | + | 0.157004i | −0.540483 | − | 0.841355i | \(-0.681759\pi\) |
0.0572760 | + | 0.998358i | \(0.481759\pi\) | |||||||
\(258\) | 117645. | + | 38225.3i | 0.110034 | + | 0.0357521i | ||||
\(259\) | −372876. | − | 513220.i | −0.345395 | − | 0.475395i | ||||
\(260\) | 6067.79i | 0.00556669i | ||||||||
\(261\) | −2.21775e6 | − | 720591.i | −2.01517 | − | 0.654768i | ||||
\(262\) | 37060.8 | + | 26926.2i | 0.0333550 | + | 0.0242338i | ||||
\(263\) | 1.53577e6 | − | 499002.i | 1.36911 | − | 0.444849i | 0.470033 | − | 0.882649i | \(-0.344242\pi\) |
0.899072 | + | 0.437800i | \(0.144242\pi\) | |||||||
\(264\) | 367550. | − | 267041.i | 0.324569 | − | 0.235813i | ||||
\(265\) | −700636. | + | 964342.i | −0.612883 | + | 0.843561i | ||||
\(266\) | 45196.2 | + | 32836.9i | 0.0391650 | + | 0.0284550i | ||||
\(267\) | 1.08063e6 | + | 785124.i | 0.927682 | + | 0.674000i | ||||
\(268\) | −690999. | + | 951078.i | −0.587679 | + | 0.808871i | ||||
\(269\) | −250350. | + | 181890.i | −0.210944 | + | 0.153259i | −0.688240 | − | 0.725483i | \(-0.741617\pi\) |
0.477297 | + | 0.878742i | \(0.341617\pi\) | |||||||
\(270\) | −210952. | + | 68542.5i | −0.176106 | + | 0.0572204i | ||||
\(271\) | 370870. | + | 269453.i | 0.306760 | + | 0.222874i | 0.730505 | − | 0.682908i | \(-0.239285\pi\) |
−0.423745 | + | 0.905781i | \(0.639285\pi\) | |||||||
\(272\) | 250576. | + | 81417.2i | 0.205361 | + | 0.0667258i | ||||
\(273\) | − | 4630.84i | − | 0.00376056i | ||||||
\(274\) | 75235.7 | + | 103553.i | 0.0605407 | + | 0.0833271i | ||||
\(275\) | −183441. | − | 59603.7i | −0.146273 | − | 0.0475271i | ||||
\(276\) | 119758. | − | 38911.7i | 0.0946307 | − | 0.0307474i | ||||
\(277\) | −522048. | − | 1.60670e6i | −0.408800 | − | 1.25816i | −0.917680 | − | 0.397320i | \(-0.869940\pi\) |
0.508880 | − | 0.860838i | \(-0.330060\pi\) | |||||||
\(278\) | −29184.0 | −0.0226482 | ||||||||
\(279\) | 999749. | + | 3.07691e6i | 0.768919 | + | 2.36649i | ||||
\(280\) | −37716.7 | + | 51912.6i | −0.0287500 | + | 0.0395710i | ||||
\(281\) | 334718. | + | 460700.i | 0.252879 | + | 0.348058i | 0.916517 | − | 0.399996i | \(-0.130988\pi\) |
−0.663638 | + | 0.748054i | \(0.730988\pi\) | |||||||
\(282\) | −1630.63 | + | 5018.57i | −0.00122105 | + | 0.00375800i | ||||
\(283\) | 91959.5 | − | 283022.i | 0.0682544 | − | 0.210065i | −0.911112 | − | 0.412159i | \(-0.864775\pi\) |
0.979366 | + | 0.202094i | \(0.0647747\pi\) | |||||||
\(284\) | − | 376697.i | − | 0.277138i | ||||||
\(285\) | −3.61156e6 | + | 2.62395e6i | −2.63380 | + | 1.91357i | ||||
\(286\) | 892.885 | 0.000645477 | ||||||||
\(287\) | −365845. | + | 310762.i | −0.262176 | + | 0.222702i | ||||
\(288\) | −760845. | −0.540524 | ||||||||
\(289\) | −1.09326e6 | + | 794298.i | −0.769978 | + | 0.559421i | ||||
\(290\) | 89886.2i | 0.0627622i | ||||||||
\(291\) | 827004. | − | 2.54526e6i | 0.572499 | − | 1.76197i | ||||
\(292\) | 495286. | − | 1.52433e6i | 0.339937 | − | 1.04622i | ||||
\(293\) | 571331. | + | 786370.i | 0.388793 | + | 0.535128i | 0.957887 | − | 0.287144i | \(-0.0927059\pi\) |
−0.569094 | + | 0.822273i | \(0.692706\pi\) | |||||||
\(294\) | −106929. | + | 147174.i | −0.0721481 | + | 0.0993034i | ||||
\(295\) | −737060. | − | 2.26844e6i | −0.493114 | − | 1.51765i | ||||
\(296\) | −387330. | −0.256952 | ||||||||
\(297\) | −1.76287e6 | − | 5.42556e6i | −1.15966 | − | 3.56906i | ||||
\(298\) | 197694. | − | 64234.6i | 0.128959 | − | 0.0419014i | ||||
\(299\) | 472.076 | + | 153.387i | 0.000305376 | + | 9.92225e-5i | ||||
\(300\) | 178993. | + | 246363.i | 0.114824 | + | 0.158042i | ||||
\(301\) | − | 449351.i | − | 0.285871i | ||||||
\(302\) | 18596.2 | + | 6042.27i | 0.0117329 | + | 0.00381226i | ||||
\(303\) | 3.24628e6 | + | 2.35856e6i | 2.03133 | + | 1.47585i | ||||
\(304\) | −2.81063e6 | + | 913229.i | −1.74429 | + | 0.566755i | ||||
\(305\) | −37095.8 | + | 26951.7i | −0.0228336 | + | 0.0165896i | ||||
\(306\) | −38396.5 | + | 52848.2i | −0.0234416 | + | 0.0322646i | ||||
\(307\) | −1.01172e6 | − | 735058.i | −0.612653 | − | 0.445118i | 0.237695 | − | 0.971340i | \(-0.423608\pi\) |
−0.850348 | + | 0.526222i | \(0.823608\pi\) | |||||||
\(308\) | −665676. | − | 483642.i | −0.399840 | − | 0.290501i | ||||
\(309\) | 1.96040e6 | − | 2.69826e6i | 1.16801 | − | 1.60763i | ||||
\(310\) | 100891. | − | 73301.7i | 0.0596278 | − | 0.0433221i | ||||
\(311\) | 2.17253e6 | − | 705899.i | 1.27369 | − | 0.413848i | 0.407339 | − | 0.913277i | \(-0.366457\pi\) |
0.866355 | + | 0.499428i | \(0.166457\pi\) | |||||||
\(312\) | −2287.45 | − | 1661.93i | −0.00133035 | − | 0.000966554i | ||||
\(313\) | 1.84570e6 | + | 599704.i | 1.06488 | + | 0.346000i | 0.788491 | − | 0.615046i | \(-0.210863\pi\) |
0.276388 | + | 0.961046i | \(0.410863\pi\) | |||||||
\(314\) | − | 167812.i | − | 0.0960505i | ||||||
\(315\) | 810198. | + | 1.11514e6i | 0.460060 | + | 0.633218i | ||||
\(316\) | −1.04301e6 | − | 338894.i | −0.587585 | − | 0.190918i | ||||
\(317\) | −38393.3 | + | 12474.7i | −0.0214589 | + | 0.00697242i | −0.319727 | − | 0.947510i | \(-0.603591\pi\) |
0.298268 | + | 0.954482i | \(0.403591\pi\) | |||||||
\(318\) | −85575.4 | − | 263374.i | −0.0474549 | − | 0.146051i | ||||
\(319\) | −2.31182e6 | −1.27197 | ||||||||
\(320\) | −516903. | − | 1.59086e6i | −0.282185 | − | 0.868477i | ||||
\(321\) | 1.83768e6 | − | 2.52935e6i | 0.995422 | − | 1.37008i | ||||
\(322\) | 1538.29 | + | 2117.28i | 0.000826797 | + | 0.00113799i | ||||
\(323\) | −237485. | + | 730905.i | −0.126657 | + | 0.389811i | ||||
\(324\) | −1.38573e6 | + | 4.26485e6i | −0.733360 | + | 2.25705i | ||||
\(325\) | 1200.40i | 0.000630402i | ||||||||
\(326\) | 38282.6 | − | 27813.9i | 0.0199506 | − | 0.0144950i | ||||
\(327\) | −5.12717e6 | −2.65160 | ||||||||
\(328\) | 22208.5 | + | 292240.i | 0.0113982 | + | 0.149988i | ||||
\(329\) | 19168.6 | 0.00976340 | ||||||||
\(330\) | −304341. | + | 221117.i | −0.153842 | + | 0.111773i | ||||
\(331\) | 551382.i | 0.276620i | 0.990389 | + | 0.138310i | \(0.0441670\pi\) | ||||
−0.990389 | + | 0.138310i | \(0.955833\pi\) | |||||||
\(332\) | 132518. | − | 407850.i | 0.0659829 | − | 0.203074i | ||||
\(333\) | −2.57111e6 | + | 7.91306e6i | −1.27060 | + | 3.91051i | ||||
\(334\) | 62446.1 | + | 85949.7i | 0.0306294 | + | 0.0421578i | ||||
\(335\) | 1.14760e6 | − | 1.57954e6i | 0.558701 | − | 0.768987i | ||||
\(336\) | 399125. | + | 1.22838e6i | 0.192868 | + | 0.593587i | ||||
\(337\) | 2.94260e6 | 1.41142 | 0.705710 | − | 0.708501i | \(-0.250628\pi\) | ||||
0.705710 | + | 0.708501i | \(0.250628\pi\) | |||||||
\(338\) | 48952.2 | + | 150659.i | 0.0233067 | + | 0.0717306i | ||||
\(339\) | 3.50407e6 | − | 1.13854e6i | 1.65605 | − | 0.538083i | ||||
\(340\) | −418563. | − | 135999.i | −0.196365 | − | 0.0638028i | ||||
\(341\) | 1.88528e6 | + | 2.59486e6i | 0.877989 | + | 1.20845i | ||||
\(342\) | − | 732716.i | − | 0.338743i | ||||||
\(343\) | 1.34133e6 | + | 435825.i | 0.615603 | + | 0.200022i | ||||
\(344\) | −221962. | − | 161265.i | −0.101130 | − | 0.0734755i | ||||
\(345\) | −198893. | + | 64624.2i | −0.0899646 | + | 0.0292313i | ||||
\(346\) | −147238. | + | 106975.i | −0.0661196 | + | 0.0480387i | ||||
\(347\) | 566654. | − | 779933.i | 0.252636 | − | 0.347723i | −0.663796 | − | 0.747913i | \(-0.731056\pi\) |
0.916432 | + | 0.400190i | \(0.131056\pi\) | |||||||
\(348\) | 2.95283e6 | + | 2.14536e6i | 1.30705 | + | 0.949625i | ||||
\(349\) | 2.93444e6 | + | 2.13200e6i | 1.28962 | + | 0.936964i | 0.999798 | − | 0.0201167i | \(-0.00640377\pi\) |
0.289822 | + | 0.957080i | \(0.406404\pi\) | |||||||
\(350\) | −3720.13 | + | 5120.32i | −0.00162326 | + | 0.00223423i | ||||
\(351\) | −28723.1 | + | 20868.6i | −0.0124441 | + | 0.00904117i | ||||
\(352\) | −717381. | + | 233091.i | −0.308598 | + | 0.100270i | ||||
\(353\) | −1.97633e6 | − | 1.43589e6i | −0.844158 | − | 0.613317i | 0.0793712 | − | 0.996845i | \(-0.474709\pi\) |
−0.923529 | + | 0.383529i | \(0.874709\pi\) | |||||||
\(354\) | 527011. | + | 171236.i | 0.223517 | + | 0.0726252i | ||||
\(355\) | 625614.i | 0.263473i | ||||||||
\(356\) | −868199. | − | 1.19497e6i | −0.363073 | − | 0.499727i | ||||
\(357\) | 319441. | + | 103793.i | 0.132654 | + | 0.0431018i | ||||
\(358\) | −92664.7 | + | 30108.6i | −0.0382126 | + | 0.0124160i | ||||
\(359\) | −176810. | − | 544165.i | −0.0724053 | − | 0.222841i | 0.908305 | − | 0.418309i | \(-0.137377\pi\) |
−0.980710 | + | 0.195469i | \(0.937377\pi\) | |||||||
\(360\) | 841602. | 0.342255 | ||||||||
\(361\) | −1.89864e6 | − | 5.84340e6i | −0.766785 | − | 2.35992i | ||||
\(362\) | −148102. | + | 203844.i | −0.0594002 | + | 0.0817574i | ||||
\(363\) | −2.96320e6 | − | 4.07849e6i | −1.18030 | − | 1.62455i | ||||
\(364\) | −1582.42 | + | 4870.20i | −0.000625993 | + | 0.00192661i | ||||
\(365\) | −822565. | + | 2.53160e6i | −0.323175 | + | 0.994631i | ||||
\(366\) | − | 10652.7i | − | 0.00415678i | ||||||
\(367\) | 2.25972e6 | − | 1.64179e6i | 0.875771 | − | 0.636285i | −0.0563585 | − | 0.998411i | \(-0.517949\pi\) |
0.932129 | + | 0.362126i | \(0.117949\pi\) | |||||||
\(368\) | −138444. | −0.0532909 | ||||||||
\(369\) | 6.11783e6 | + | 1.48619e6i | 2.33901 | + | 0.568209i | ||||
\(370\) | 320719. | 0.121792 | ||||||||
\(371\) | −813844. | + | 591292.i | −0.306977 | + | 0.223032i | ||||
\(372\) | − | 5.06389e6i | − | 1.89726i | ||||||
\(373\) | 82278.9 | − | 253228.i | 0.0306208 | − | 0.0942411i | −0.934578 | − | 0.355758i | \(-0.884223\pi\) |
0.965199 | + | 0.261517i | \(0.0842227\pi\) | |||||||
\(374\) | −20012.5 | + | 61592.3i | −0.00739815 | + | 0.0227692i | ||||
\(375\) | −3.09012e6 | − | 4.25318e6i | −1.13474 | − | 1.56184i | ||||
\(376\) | 6879.29 | − | 9468.53i | 0.00250942 | − | 0.00345393i | ||||
\(377\) | 4446.02 | + | 13683.4i | 0.00161108 | + | 0.00495840i | ||||
\(378\) | −187192. | −0.0673842 | ||||||||
\(379\) | 598520. | + | 1.84206e6i | 0.214033 | + | 0.658726i | 0.999221 | + | 0.0394681i | \(0.0125664\pi\) |
−0.785188 | + | 0.619258i | \(0.787434\pi\) | |||||||
\(380\) | 4.69488e6 | − | 1.52546e6i | 1.66788 | − | 0.541928i | ||||
\(381\) | 3.71906e6 | + | 1.20840e6i | 1.31257 | + | 0.426478i | ||||
\(382\) | 20884.4 | + | 28744.9i | 0.00732257 | + | 0.0100786i | ||||
\(383\) | − | 880755.i | − | 0.306802i | −0.988164 | − | 0.153401i | \(-0.950977\pi\) | ||
0.988164 | − | 0.153401i | \(-0.0490226\pi\) | |||||||
\(384\) | 1.50868e6 | + | 490199.i | 0.522118 | + | 0.169646i | ||||
\(385\) | 1.10555e6 | + | 803227.i | 0.380124 | + | 0.276176i | ||||
\(386\) | 154228. | − | 50111.7i | 0.0526860 | − | 0.0171187i | ||||
\(387\) | −4.76799e6 | + | 3.46415e6i | −1.61830 | + | 1.17576i | ||||
\(388\) | −1.73950e6 | + | 2.39422e6i | −0.586604 | + | 0.807392i | ||||
\(389\) | 793820. | + | 576744.i | 0.265979 | + | 0.193245i | 0.712779 | − | 0.701389i | \(-0.247436\pi\) |
−0.446800 | + | 0.894634i | \(0.647436\pi\) | |||||||
\(390\) | 1894.07 | + | 1376.12i | 0.000630571 | + | 0.000458137i | ||||
\(391\) | −21161.6 | + | 29126.5i | −0.00700014 | + | 0.00963487i | ||||
\(392\) | 326425. | − | 237162.i | 0.107292 | − | 0.0779525i | ||||
\(393\) | −2.93810e6 | + | 954646.i | −0.959588 | + | 0.311789i | ||||
\(394\) | −256496. | − | 186355.i | −0.0832415 | − | 0.0604785i | ||||
\(395\) | 1.73222e6 | + | 562832.i | 0.558612 | + | 0.181504i | ||||
\(396\) | 1.07919e7i | 3.45827i | ||||||||
\(397\) | −2.29127e6 | − | 3.15366e6i | −0.729624 | − | 1.00424i | −0.999149 | − | 0.0412479i | \(-0.986867\pi\) |
0.269525 | − | 0.962993i | \(-0.413133\pi\) | |||||||
\(398\) | −42832.4 | − | 13917.1i | −0.0135539 | − | 0.00440394i | ||||
\(399\) | −3.58306e6 | + | 1.16421e6i | −1.12673 | + | 0.366098i | ||||
\(400\) | −103461. | − | 318419.i | −0.0323315 | − | 0.0995060i | ||||
\(401\) | −4.35199e6 | −1.35153 | −0.675766 | − | 0.737116i | \(-0.736187\pi\) | ||||
−0.675766 | + | 0.737116i | \(0.736187\pi\) | |||||||
\(402\) | 140168. | + | 431392.i | 0.0432597 | + | 0.133140i | ||||
\(403\) | 11733.0 | − | 16149.1i | 0.00359872 | − | 0.00495321i | ||||
\(404\) | −2.60812e6 | − | 3.58978e6i | −0.795014 | − | 1.09424i | ||||
\(405\) | 2.30141e6 | − | 7.08302e6i | 0.697199 | − | 2.14576i | ||||
\(406\) | −23441.5 | + | 72145.5i | −0.00705781 | + | 0.0217217i | ||||
\(407\) | 8.24870e6i | 2.46831i | ||||||||
\(408\) | 165911. | − | 120542.i | 0.0493430 | − | 0.0358498i | ||||
\(409\) | 2.70093e6 | 0.798372 | 0.399186 | − | 0.916870i | \(-0.369293\pi\) | ||||
0.399186 | + | 0.916870i | \(0.369293\pi\) | |||||||
\(410\) | −18389.2 | − | 241983.i | −0.00540261 | − | 0.0710927i | ||||
\(411\) | −8.63194e6 | −2.52060 | ||||||||
\(412\) | −2.98376e6 | + | 2.16783e6i | −0.866007 | + | 0.629191i | ||||
\(413\) | − | 2.01294e6i | − | 0.580704i | ||||||
\(414\) | 10607.0 | − | 32645.1i | 0.00304154 | − | 0.00936089i | ||||
\(415\) | −220085. | + | 677353.i | −0.0627294 | + | 0.193061i | ||||
\(416\) | 2759.29 | + | 3797.84i | 0.000781743 | + | 0.00107598i | ||||
\(417\) | 1.15682e6 | − | 1.59223e6i | 0.325782 | − | 0.448400i | ||||
\(418\) | −224474. | − | 690859.i | −0.0628384 | − | 0.193397i | ||||
\(419\) | 4.16803e6 | 1.15983 | 0.579917 | − | 0.814675i | \(-0.303085\pi\) | ||||
0.579917 | + | 0.814675i | \(0.303085\pi\) | |||||||
\(420\) | −666699. | − | 2.05189e6i | −0.184419 | − | 0.567584i | ||||
\(421\) | −618698. | + | 201027.i | −0.170127 | + | 0.0552777i | −0.392842 | − | 0.919606i | \(-0.628508\pi\) |
0.222715 | + | 0.974884i | \(0.428508\pi\) | |||||||
\(422\) | −87197.4 | − | 28332.2i | −0.0238354 | − | 0.00774459i | ||||
\(423\) | −147775. | − | 203395.i | −0.0401560 | − | 0.0552700i | ||||
\(424\) | 614211.i | 0.165922i | ||||||||
\(425\) | −82805.0 | − | 26905.0i | −0.0222374 | − | 0.00722537i | ||||
\(426\) | −117586. | − | 85431.5i | −0.0313930 | − | 0.0228084i | ||||
\(427\) | −36803.0 | + | 11958.0i | −0.00976818 | + | 0.00317387i | ||||
\(428\) | −2.79698e6 | + | 2.03213e6i | −0.738040 | + | 0.536218i | ||||
\(429\) | −35393.0 | + | 48714.3i | −0.00928483 | + | 0.0127795i | ||||
\(430\) | 183790. | + | 133531.i | 0.0479348 | + | 0.0348266i | ||||
\(431\) | −2.25921e6 | − | 1.64141e6i | −0.585819 | − | 0.425623i | 0.254998 | − | 0.966942i | \(-0.417925\pi\) |
−0.840817 | + | 0.541319i | \(0.817925\pi\) | |||||||
\(432\) | 5.82049e6 | − | 8.01122e6i | 1.50055 | − | 2.06533i | ||||
\(433\) | −1.77314e6 | + | 1.28826e6i | −0.454488 | + | 0.330205i | −0.791365 | − | 0.611344i | \(-0.790629\pi\) |
0.336877 | + | 0.941549i | \(0.390629\pi\) | |||||||
\(434\) | 100095. | − | 32522.8i | 0.0255086 | − | 0.00828826i | ||||
\(435\) | −4.90404e6 | − | 3.56299e6i | −1.24260 | − | 0.902800i | ||||
\(436\) | 5.39218e6 | + | 1.75203e6i | 1.35846 | + | 0.441392i | ||||
\(437\) | − | 403825.i | − | 0.101156i | ||||||
\(438\) | −363496. | − | 500309.i | −0.0905345 | − | 0.124610i | ||||
\(439\) | 1.34135e6 | + | 435830.i | 0.332185 | + | 0.107933i | 0.470361 | − | 0.882474i | \(-0.344124\pi\) |
−0.138176 | + | 0.990408i | \(0.544124\pi\) | |||||||
\(440\) | 793525. | − | 257832.i | 0.195402 | − | 0.0634899i | ||||
\(441\) | −2.67834e6 | − | 8.24309e6i | −0.655797 | − | 2.01834i | ||||
\(442\) | 403.046 | 9.81294e−5 | ||||||||
\(443\) | −1.01827e6 | − | 3.13392e6i | −0.246522 | − | 0.758716i | −0.995382 | − | 0.0959883i | \(-0.969399\pi\) |
0.748861 | − | 0.662727i | \(-0.230601\pi\) | |||||||
\(444\) | 7.65477e6 | − | 1.05359e7i | 1.84278 | − | 2.53637i | ||||
\(445\) | 1.44190e6 | + | 1.98460e6i | 0.345170 | + | 0.475086i | ||||
\(446\) | −59574.2 | + | 183350.i | −0.0141815 | + | 0.0436460i | ||||
\(447\) | −4.33183e6 | + | 1.33320e7i | −1.02542 | + | 3.15593i | ||||
\(448\) | − | 1.41168e6i | − | 0.332309i | ||||||
\(449\) | −3.32574e6 | + | 2.41629e6i | −0.778524 | + | 0.565631i | −0.904536 | − | 0.426398i | \(-0.859782\pi\) |
0.126011 | + | 0.992029i | \(0.459782\pi\) | |||||||
\(450\) | 83010.2 | 0.0193241 | ||||||||
\(451\) | 6.22365e6 | − | 472960.i | 1.44080 | − | 0.109492i | ||||
\(452\) | −4.07424e6 | −0.937996 | ||||||||
\(453\) | −1.06679e6 | + | 775068.i | −0.244249 | + | 0.177457i | ||||
\(454\) | − | 602149.i | − | 0.137108i | ||||||
\(455\) | 2628.07 | − | 8088.37i | 0.000595126 | − | 0.00183161i | ||||
\(456\) | −710827. | + | 2.18770e6i | −0.160085 | + | 0.492692i | ||||
\(457\) | 2.67333e6 | + | 3.67953e6i | 0.598773 | + | 0.824141i | 0.995595 | − | 0.0937548i | \(-0.0298870\pi\) |
−0.396822 | + | 0.917896i | \(0.629887\pi\) | |||||||
\(458\) | 236484. | − | 325492.i | 0.0526790 | − | 0.0725064i | ||||
\(459\) | −795757. | − | 2.44909e6i | −0.176299 | − | 0.542591i | ||||
\(460\) | 231256. | 0.0509565 | ||||||||
\(461\) | 158430. | + | 487599.i | 0.0347205 | + | 0.106859i | 0.966915 | − | 0.255100i | \(-0.0821083\pi\) |
−0.932194 | + | 0.361958i | \(0.882108\pi\) | |||||||
\(462\) | −301939. | + | 98105.9i | −0.0658134 | + | 0.0213841i | ||||
\(463\) | −1.49583e6 | − | 486024.i | −0.324287 | − | 0.105367i | 0.142350 | − | 0.989816i | \(-0.454534\pi\) |
−0.466636 | + | 0.884449i | \(0.654534\pi\) | |||||||
\(464\) | −2.35871e6 | − | 3.24649e6i | −0.508604 | − | 0.700033i | ||||
\(465\) | 8.41005e6i | 1.80371i | ||||||||
\(466\) | 359504. | + | 116810.i | 0.0766901 | + | 0.0249181i | ||||
\(467\) | −1.32298e6 | − | 961203.i | −0.280712 | − | 0.203950i | 0.438516 | − | 0.898724i | \(-0.355504\pi\) |
−0.719228 | + | 0.694774i | \(0.755504\pi\) | |||||||
\(468\) | 63876.1 | − | 20754.6i | 0.0134811 | − | 0.00438026i | ||||
\(469\) | 1.33303e6 | − | 968505.i | 0.279839 | − | 0.203315i | ||||
\(470\) | −5696.23 | + | 7840.19i | −0.00118944 | + | 0.00163713i | ||||
\(471\) | 9.15555e6 | + | 6.65190e6i | 1.90166 | + | 1.38164i | ||||
\(472\) | −994311. | − | 722409.i | −0.205432 | − | 0.149255i | ||||
\(473\) | −3.43434e6 | + | 4.72697e6i | −0.705815 | + | 0.971471i | ||||
\(474\) | −342332. | + | 248719.i | −0.0699844 | + | 0.0508467i | ||||
\(475\) | 928795. | − | 301784.i | 0.188880 | − | 0.0613708i | ||||
\(476\) | −300485. | − | 218315.i | −0.0607862 | − | 0.0441638i | ||||
\(477\) | 1.25482e7 | + | 4.07716e6i | 2.52514 | + | 0.820468i | ||||
\(478\) | 460332.i | 0.0921512i | ||||||||
\(479\) | 4.48787e6 | + | 6.17702e6i | 0.893719 | + | 1.23010i | 0.972428 | + | 0.233201i | \(0.0749201\pi\) |
−0.0787093 | + | 0.996898i | \(0.525080\pi\) | |||||||
\(480\) | −1.88101e6 | − | 611179.i | −0.372640 | − | 0.121078i | ||||
\(481\) | 48823.3 | − | 15863.6i | 0.00962198 | − | 0.00312637i | ||||
\(482\) | 105485. | + | 324651.i | 0.0206812 | + | 0.0636501i | ||||
\(483\) | −176491. | −0.0344235 | ||||||||
\(484\) | 1.72268e6 | + | 5.30187e6i | 0.334266 | + | 1.02876i | ||||
\(485\) | 2.88894e6 | − | 3.97629e6i | 0.557680 | − | 0.767580i | ||||
\(486\) | 417469. | + | 574597.i | 0.0801741 | + | 0.110350i | ||||
\(487\) | 2.47551e6 | − | 7.61883e6i | 0.472979 | − | 1.45568i | −0.375685 | − | 0.926747i | \(-0.622593\pi\) |
0.848664 | − | 0.528932i | \(-0.177407\pi\) | |||||||
\(488\) | −7301.19 | + | 22470.8i | −0.00138786 | + | 0.00427138i | ||||
\(489\) | 3.19114e6i | 0.603496i | ||||||||
\(490\) | −270289. | + | 196376.i | −0.0508555 | + | 0.0369487i | ||||
\(491\) | 52325.6 | 0.00979514 | 0.00489757 | − | 0.999988i | \(-0.498441\pi\) | ||||
0.00489757 | + | 0.999988i | \(0.498441\pi\) | |||||||
\(492\) | −8.38824e6 | − | 5.17143e6i | −1.56228 | − | 0.963158i | ||||
\(493\) | −1.04355e6 | −0.193373 | ||||||||
\(494\) | −3657.43 | + | 2657.28i | −0.000674309 | + | 0.000489914i | ||||
\(495\) | − | 1.79230e7i | − | 3.28775i | ||||||
\(496\) | −1.72045e6 | + | 5.29499e6i | −0.314005 | + | 0.966408i | ||||
\(497\) | −163154. | + | 502138.i | −0.0296284 | + | 0.0911868i | ||||
\(498\) | −97256.9 | − | 133863.i | −0.0175730 | − | 0.0241872i | ||||
\(499\) | 1.97200e6 | − | 2.71423e6i | 0.354533 | − | 0.487972i | −0.594083 | − | 0.804404i | \(-0.702485\pi\) |
0.948615 | + | 0.316432i | \(0.102485\pi\) | |||||||
\(500\) | 1.79647e6 | + | 5.52896e6i | 0.321362 | + | 0.989050i | ||||
\(501\) | −7.16456e6 | −1.27525 | ||||||||
\(502\) | 630.445 | + | 1940.31i | 0.000111657 | + | 0.000343646i | ||||
\(503\) | −6.52566e6 | + | 2.12032e6i | −1.15002 | + | 0.373663i | −0.821150 | − | 0.570712i | \(-0.806667\pi\) |
−0.328868 | + | 0.944376i | \(0.606667\pi\) | |||||||
\(504\) | 675496. | + | 219482.i | 0.118453 | + | 0.0384878i | ||||
\(505\) | 4.33155e6 | + | 5.96186e6i | 0.755813 | + | 1.04029i | ||||
\(506\) | − | 34029.8i | − | 0.00590858i | ||||||
\(507\) | −1.01601e7 | − | 3.30123e6i | −1.75541 | − | 0.570368i | ||||
\(508\) | −3.49837e6 | − | 2.54171e6i | −0.601459 | − | 0.436986i | ||||
\(509\) | 2.34412e6 | − | 761652.i | 0.401039 | − | 0.130305i | −0.101551 | − | 0.994830i | \(-0.532381\pi\) |
0.502590 | + | 0.864525i | \(0.332381\pi\) | |||||||
\(510\) | −137379. | + | 99811.6i | −0.0233881 | + | 0.0169924i | ||||
\(511\) | −1.32043e6 | + | 1.81742e6i | −0.223699 | + | 0.307895i | ||||
\(512\) | −1.76880e6 | − | 1.28511e6i | −0.298198 | − | 0.216653i | ||||
\(513\) | 2.33679e7 | + | 1.69778e7i | 3.92036 | + | 2.84831i | ||||
\(514\) | 134917. | − | 185697.i | 0.0225247 | − | 0.0310026i | ||||
\(515\) | 4.95540e6 | − | 3.60031e6i | 0.823305 | − | 0.598166i | ||||
\(516\) | 8.77322e6 | − | 2.85059e6i | 1.45056 | − | 0.471314i | ||||
\(517\) | −201645. | − | 146504.i | −0.0331788 | − | 0.0241058i | ||||
\(518\) | 257419. | + | 83640.6i | 0.0421518 | + | 0.0136960i | ||||
\(519\) | − | 1.22734e7i | − | 2.00008i | ||||||
\(520\) | −3052.16 | − | 4200.94i | −0.000494994 | − | 0.000681300i | ||||
\(521\) | −3.93670e6 | − | 1.27911e6i | −0.635386 | − | 0.206450i | −0.0264268 | − | 0.999651i | \(-0.508413\pi\) |
−0.608960 | + | 0.793201i | \(0.708413\pi\) | |||||||
\(522\) | 946239. | − | 307452.i | 0.151993 | − | 0.0493856i | ||||
\(523\) | 2.18540e6 | + | 6.72597e6i | 0.349363 | + | 1.07523i | 0.959206 | + | 0.282706i | \(0.0912322\pi\) |
−0.609844 | + | 0.792522i | \(0.708768\pi\) | |||||||
\(524\) | 3.41618e6 | 0.543516 | ||||||||
\(525\) | −131894. | − | 405928.i | −0.0208846 | − | 0.0642763i | ||||
\(526\) | −404974. | + | 557398.i | −0.0638208 | + | 0.0878418i | ||||
\(527\) | 851010. | + | 1.17131e6i | 0.133477 | + | 0.183716i | ||||
\(528\) | 5.18977e6 | − | 1.59725e7i | 0.810146 | − | 2.49337i | ||||
\(529\) | −1.98309e6 | + | 6.10333e6i | −0.308109 | + | 0.948261i | ||||
\(530\) | − | 508583.i | − | 0.0786452i | ||||||
\(531\) | −2.13589e7 | + | 1.55182e7i | −3.28733 | + | 2.38839i | ||||
\(532\) | 4.16608e6 | 0.638189 | ||||||||
\(533\) | −14768.5 | − | 35927.6i | −0.00225175 | − | 0.00547785i | ||||
\(534\) | −569912. | −0.0864878 | ||||||||
\(535\) | 4.64520e6 | − | 3.37493e6i | 0.701649 | − | 0.509778i | ||||
\(536\) | − | 1.00605e6i | − | 0.151254i | ||||||
\(537\) | 2.03046e6 | − | 6.24910e6i | 0.303849 | − | 0.935151i | ||||
\(538\) | 40800.0 | − | 125569.i | 0.00607721 | − | 0.0187037i | ||||
\(539\) | −5.05068e6 | − | 6.95167e6i | −0.748821 | − | 1.03066i | ||||
\(540\) | −9.72255e6 | + | 1.33819e7i | −1.43482 | + | 1.97485i | ||||
\(541\) | −1.11875e6 | − | 3.44315e6i | −0.164339 | − | 0.505782i | 0.834648 | − | 0.550783i | \(-0.185671\pi\) |
−0.998987 | + | 0.0450011i | \(0.985671\pi\) | |||||||
\(542\) | −195592. | −0.0285992 | ||||||||
\(543\) | −5.25081e6 | − | 1.61603e7i | −0.764235 | − | 2.35207i | ||||
\(544\) | −323824. | + | 105217.i | −0.0469150 | + | 0.0152436i | ||||
\(545\) | −8.95528e6 | − | 2.90975e6i | −1.29148 | − | 0.419628i | ||||
\(546\) | 1161.36 | + | 1598.47i | 0.000166719 | + | 0.000229469i | ||||
\(547\) | − | 4.28611e6i | − | 0.612484i | −0.951954 | − | 0.306242i | \(-0.900928\pi\) | ||
0.951954 | − | 0.306242i | \(-0.0990718\pi\) | |||||||
\(548\) | 9.07811e6 | + | 2.94966e6i | 1.29135 | + | 0.419585i | ||||
\(549\) | 410607. | + | 298324.i | 0.0581428 | + | 0.0422432i | ||||
\(550\) | 78268.2 | − | 25430.9i | 0.0110326 | − | 0.00358472i | ||||
\(551\) | 9.46966e6 | − | 6.88011e6i | 1.32879 | − | 0.965420i | ||||
\(552\) | −63339.7 | + | 87179.6i | −0.00884766 | + | 0.0121778i | ||||
\(553\) | 1.24355e6 | + | 903494.i | 0.172922 | + | 0.125636i | ||||
\(554\) | 583142. | + | 423677.i | 0.0807235 | + | 0.0586490i | ||||
\(555\) | −1.27130e7 | + | 1.74979e7i | −1.75192 | + | 2.41131i | ||||
\(556\) | −1.76071e6 | + | 1.27923e6i | −0.241546 | + | 0.175494i | ||||
\(557\) | −1.24498e7 | + | 4.04519e6i | −1.70030 | + | 0.552460i | −0.988671 | − | 0.150098i | \(-0.952041\pi\) |
−0.711627 | + | 0.702558i | \(0.752041\pi\) | |||||||
\(558\) | −1.11675e6 | − | 811364.i | −0.151834 | − | 0.110314i | ||||
\(559\) | 34583.3 | + | 11236.8i | 0.00468098 | + | 0.00152094i | ||||
\(560\) | 2.37204e6i | 0.319633i | ||||||||
\(561\) | −2.56709e6 | − | 3.53330e6i | −0.344377 | − | 0.473995i | ||||
\(562\) | −231076. | − | 75081.1i | −0.0308613 | − | 0.0100274i | ||||
\(563\) | 165420. | − | 53748.2i | 0.0219946 | − | 0.00714649i | −0.297999 | − | 0.954566i | \(-0.596319\pi\) |
0.319994 | + | 0.947420i | \(0.396319\pi\) | |||||||
\(564\) | 121602. | + | 374252.i | 0.0160969 | + | 0.0495412i | ||||
\(565\) | 6.76646e6 | 0.891744 | ||||||||
\(566\) | 39236.0 | + | 120756.i | 0.00514806 | + | 0.0158441i | ||||
\(567\) | 3.69437e6 | − | 5.08487e6i | 0.482595 | − | 0.664235i | ||||
\(568\) | 189483. | + | 260801.i | 0.0246433 | + | 0.0339186i | ||||
\(569\) | −1.13643e6 | + | 3.49758e6i | −0.147151 | + | 0.452884i | −0.997281 | − | 0.0736885i | \(-0.976523\pi\) |
0.850131 | + | 0.526572i | \(0.176523\pi\) | |||||||
\(570\) | 588583. | − | 1.81147e6i | 0.0758789 | − | 0.233531i | ||||
\(571\) | − | 1.17288e7i | − | 1.50544i | −0.658339 | − | 0.752722i | \(-0.728741\pi\) | ||
0.658339 | − | 0.752722i | \(-0.271259\pi\) | |||||||
\(572\) | 53868.8 | − | 39138.0i | 0.00688410 | − | 0.00500159i | ||||
\(573\) | −2.39611e6 | −0.304873 | ||||||||
\(574\) | 48347.1 | − | 199019.i | 0.00612478 | − | 0.0252124i | ||||
\(575\) | 45749.8 | 0.00577058 | ||||||||
\(576\) | −1.49791e7 | + | 1.08830e7i | −1.88118 | + | 1.36676i | ||||
\(577\) | − | 866675.i | − | 0.108372i | −0.998531 | − | 0.0541859i | \(-0.982744\pi\) | ||
0.998531 | − | 0.0541859i | \(-0.0172564\pi\) | |||||||
\(578\) | 178170. | − | 548352.i | 0.0221828 | − | 0.0682716i | ||||
\(579\) | −3.37942e6 | + | 1.04008e7i | −0.418935 | + | 1.28935i | ||||
\(580\) | 3.93999e6 | + | 5.42294e6i | 0.486324 | + | 0.669367i | ||||
\(581\) | −353295. | + | 486269.i | −0.0434207 | + | 0.0597635i | ||||
\(582\) | 352854. | + | 1.08597e6i | 0.0431806 | + | 0.132896i | ||||
\(583\) | 1.30805e7 | 1.59386 | ||||||||
\(584\) | 423852. | + | 1.30448e6i | 0.0514260 | + | 0.158273i | ||||
\(585\) | −106085. | + | 34469.0i | −0.0128163 | + | 0.00416427i | ||||
\(586\) | −394424. | − | 128156.i | −0.0474482 | − | 0.0154169i | ||||
\(587\) | −5.85646e6 | − | 8.06073e6i | −0.701520 | − | 0.965559i | −0.999938 | − | 0.0111241i | \(-0.996459\pi\) |
0.298418 | − | 0.954435i | \(-0.403541\pi\) | |||||||
\(588\) | 1.35662e7i | 1.61814i | ||||||||
\(589\) | −1.54449e7 | − | 5.01836e6i | −1.83441 | − | 0.596037i | ||||
\(590\) | 823315. | + | 598174.i | 0.0973725 | + | 0.0707453i | ||||
\(591\) | 2.03344e7 | − | 6.60706e6i | 2.39477 | − | 0.778107i | ||||
\(592\) | −1.15837e7 | + | 8.41602e6i | −1.35844 | + | 0.986966i | ||||
\(593\) | −2.81017e6 | + | 3.86787e6i | −0.328168 | + | 0.451684i | −0.940939 | − | 0.338576i | \(-0.890055\pi\) |
0.612771 | + | 0.790260i | \(0.290055\pi\) | |||||||
\(594\) | 1.96918e6 | + | 1.43069e6i | 0.228991 | + | 0.166372i | ||||
\(595\) | 499042. | + | 362575.i | 0.0577889 | + | 0.0419861i | ||||
\(596\) | 9.11148e6 | − | 1.25409e7i | 1.05069 | − | 1.44615i | ||||
\(597\) | 2.45713e6 | − | 1.78521e6i | 0.282157 | − | 0.204999i | ||||
\(598\) | −201.419 | + | 65.4450i | −2.30328e−5 | + | 7.48382e-6i | ||||
\(599\) | 861898. | + | 626206.i | 0.0981497 | + | 0.0713099i | 0.635778 | − | 0.771872i | \(-0.280680\pi\) |
−0.537628 | + | 0.843182i | \(0.680680\pi\) | |||||||
\(600\) | −247847. | − | 80530.4i | −0.0281064 | − | 0.00913233i | ||||
\(601\) | − | 1.25560e6i | − | 0.141797i | −0.997484 | − | 0.0708984i | \(-0.977413\pi\) | ||
0.997484 | − | 0.0708984i | \(-0.0225866\pi\) | |||||||
\(602\) | 112692. | + | 155107.i | 0.0126736 | + | 0.0174438i | ||||
\(603\) | −2.05533e7 | − | 6.67817e6i | −2.30191 | − | 0.747935i | ||||
\(604\) | 1.38678e6 | − | 450593.i | 0.154673 | − | 0.0502565i | ||||
\(605\) | −2.86101e6 | − | 8.80529e6i | −0.317784 | − | 0.978037i | ||||
\(606\) | −1.71205e6 | −0.189381 | ||||||||
\(607\) | 3.20087e6 | + | 9.85127e6i | 0.352612 | + | 1.08523i | 0.957381 | + | 0.288827i | \(0.0932652\pi\) |
−0.604770 | + | 0.796400i | \(0.706735\pi\) | |||||||
\(608\) | 2.24484e6 | − | 3.08976e6i | 0.246278 | − | 0.338973i | ||||
\(609\) | −3.00694e6 | − | 4.13870e6i | −0.328535 | − | 0.452189i | ||||
\(610\) | 6045.58 | − | 18606.4i | 0.000657829 | − | 0.00202459i | ||||
\(611\) | −479.344 | + | 1475.27i | −5.19451e−5 | + | 0.000159871i | ||||
\(612\) | 4.87143e6i | 0.525748i | ||||||||
\(613\) | 9.59778e6 | − | 6.97319e6i | 1.03162 | − | 0.749515i | 0.0629870 | − | 0.998014i | \(-0.479937\pi\) |
0.968632 | + | 0.248499i | \(0.0799373\pi\) | |||||||
\(614\) | 533570. | 0.0571176 | ||||||||
\(615\) | 1.39311e7 | + | 8.58865e6i | 1.48524 | + | 0.915666i | ||||
\(616\) | 704148. | 0.0747674 | ||||||||
\(617\) | 2.85055e6 | − | 2.07104e6i | 0.301450 | − | 0.219016i | −0.426769 | − | 0.904361i | \(-0.640348\pi\) |
0.728219 | + | 0.685344i | \(0.240348\pi\) | |||||||
\(618\) | 1.42303e6i | 0.149880i | ||||||||
\(619\) | 1.90493e6 | − | 5.86276e6i | 0.199826 | − | 0.615001i | −0.800060 | − | 0.599919i | \(-0.795199\pi\) |
0.999886 | − | 0.0150812i | \(-0.00480067\pi\) | |||||||
\(620\) | 2.87383e6 | − | 8.84475e6i | 0.300250 | − | 0.924073i | ||||
\(621\) | 795346. | + | 1.09470e6i | 0.0827612 | + | 0.113911i | ||||
\(622\) | −572884. | + | 788508.i | −0.0593733 | + | 0.0817203i | ||||
\(623\) | 639746. | + | 1.96893e6i | 0.0660370 | + | 0.203241i | ||||
\(624\) | −104520. | −0.0107458 | ||||||||
\(625\) | −2.66235e6 | − | 8.19386e6i | −0.272624 | − | 0.839051i | ||||
\(626\) | −787498. | + | 255873.i | −0.0803181 | + | 0.0260969i | ||||
\(627\) | 4.65900e7 | + | 1.51380e7i | 4.73286 | + | 1.53780i | ||||
\(628\) | −7.35574e6 | − | 1.01243e7i | −0.744265 | − | 1.02439i | ||||
\(629\) | 3.72345e6i | 0.375248i | ||||||||
\(630\) | −559328. | − | 181737.i | −0.0561456 | − | 0.0182428i | ||||
\(631\) | 56406.2 | + | 40981.5i | 0.00563967 | + | 0.00409746i | 0.590602 | − | 0.806963i | \(-0.298891\pi\) |
−0.584962 | + | 0.811061i | \(0.698891\pi\) | |||||||
\(632\) | 892580. | − | 290017.i | 0.0888904 | − | 0.0288822i | ||||
\(633\) | 5.00217e6 | − | 3.63429e6i | 0.496191 | − | 0.360504i | ||||
\(634\) | 10124.1 | − | 13934.6i | 0.00100031 | − | 0.00137680i | ||||
\(635\) | 5.81005e6 | + | 4.22125e6i | 0.571802 | + | 0.415439i | ||||
\(636\) | −1.67074e7 | − | 1.21386e7i | −1.63782 | − | 1.18994i | ||||
\(637\) | −31432.9 | + | 43263.7i | −0.00306928 | + | 0.00422450i | ||||
\(638\) | 797994. | − | 579777.i | 0.0776154 | − | 0.0563909i | ||||
\(639\) | 6.58590e6 | − | 2.13989e6i | 0.638062 | − | 0.207319i | ||||
\(640\) | 2.35691e6 | + | 1.71240e6i | 0.227454 | + | 0.165255i | ||||
\(641\) | 3.55229e6 | + | 1.15421e6i | 0.341478 | + | 0.110953i | 0.474736 | − | 0.880128i | \(-0.342544\pi\) |
−0.133257 | + | 0.991081i | \(0.542544\pi\) | |||||||
\(642\) | 1.33395e6i | 0.127733i | ||||||||
\(643\) | −4.24197e6 | − | 5.83857e6i | −0.404613 | − | 0.556902i | 0.557281 | − | 0.830324i | \(-0.311845\pi\) |
−0.961894 | + | 0.273422i | \(0.911845\pi\) | |||||||
\(644\) | 185614. | + | 60309.6i | 0.0176358 | + | 0.00573022i | ||||
\(645\) | −1.45705e7 | + | 4.73423e6i | −1.37903 | + | 0.448075i | ||||
\(646\) | −101327. | − | 311852.i | −0.00955309 | − | 0.0294014i | ||||
\(647\) | −8.60013e6 | −0.807690 | −0.403845 | − | 0.914827i | \(-0.632326\pi\) | ||||
−0.403845 | + | 0.914827i | \(0.632326\pi\) | |||||||
\(648\) | −1.18587e6 | − | 3.64975e6i | −0.110943 | − | 0.341448i | ||||
\(649\) | −1.53847e7 | + | 2.11752e7i | −1.43376 | + | 1.97340i | ||||
\(650\) | −301.046 | − | 414.354i | −2.79479e−5 | − | 3.84670e-5i | ||||
\(651\) | −2.19326e6 | + | 6.75017e6i | −0.202833 | + | 0.624255i | ||||
\(652\) | 1.09046e6 | − | 3.35609e6i | 0.100459 | − | 0.309182i | ||||
\(653\) | 1.06087e7i | 0.973596i | 0.873515 | + | 0.486798i | \(0.161835\pi\) | ||||
−0.873515 | + | 0.486798i | \(0.838165\pi\) | |||||||
\(654\) | 1.76980e6 | − | 1.28583e6i | 0.161800 | − | 0.117555i | ||||
\(655\) | −5.67356e6 | −0.516716 | ||||||||
\(656\) | 7.01407e6 | + | 8.25732e6i | 0.636371 | + | 0.749169i | ||||
\(657\) | 2.94639e7 | 2.66303 | ||||||||
\(658\) | −6616.63 | + | 4807.26i | −0.000595761 | + | 0.000432846i | ||||
\(659\) | 612489.i | 0.0549395i | 0.999623 | + | 0.0274698i | \(0.00874500\pi\) | ||||
−0.999623 | + | 0.0274698i | \(0.991255\pi\) | |||||||
\(660\) | −8.66900e6 | + | 2.66804e7i | −0.774657 | + | 2.38415i | ||||
\(661\) | 3.09169e6 | − | 9.51523e6i | 0.275227 | − | 0.847063i | −0.713932 | − | 0.700215i | \(-0.753087\pi\) |
0.989159 | − | 0.146848i | \(-0.0469127\pi\) | |||||||
\(662\) | −138280. | − | 190326.i | −0.0122635 | − | 0.0168793i | ||||
\(663\) | −15976.3 | + | 21989.5i | −0.00141154 | + | 0.00194282i | ||||
\(664\) | 113406. | + | 349027.i | 0.00998195 | + | 0.0307213i | ||||
\(665\) | −6.91899e6 | −0.606720 | ||||||||
\(666\) | −1.09701e6 | − | 3.37624e6i | −0.0958348 | − | 0.294949i | ||||
\(667\) | 521505. | − | 169447.i | 0.0453883 | − | 0.0147476i | ||||
\(668\) | 7.53489e6 | + | 2.44823e6i | 0.653335 | + | 0.212281i | ||||
\(669\) | −7.64183e6 | − | 1.05181e7i | −0.660134 | − | 0.908597i | ||||
\(670\) | 833031.i | 0.0716926i | ||||||||
\(671\) | 478545. | + | 155489.i | 0.0410314 | + | 0.0133319i | ||||
\(672\) | −1.35037e6 | − | 981103.i | −0.115353 | − | 0.0838091i | ||||
\(673\) | 1.60390e6 | − | 521138.i | 0.136502 | − | 0.0443522i | −0.239969 | − | 0.970780i | \(-0.577137\pi\) |
0.376471 | + | 0.926428i | \(0.377137\pi\) | |||||||
\(674\) | −1.01573e6 | + | 737968.i | −0.0861246 | + | 0.0625732i | ||||
\(675\) | −1.92343e6 | + | 2.64737e6i | −0.162486 | + | 0.223643i | ||||
\(676\) | 9.55722e6 | + | 6.94372e6i | 0.804386 | + | 0.584421i | ||||
\(677\) | 1.34947e7 | + | 9.80444e6i | 1.13159 | + | 0.822150i | 0.985926 | − | 0.167183i | \(-0.0534672\pi\) |
0.145667 | + | 0.989334i | \(0.453467\pi\) | |||||||
\(678\) | −924002. | + | 1.27178e6i | −0.0771967 | + | 0.106252i | ||||
\(679\) | 3.35574e6 | − | 2.43809e6i | 0.279327 | − | 0.202943i | ||||
\(680\) | 358195. | − | 116385.i | 0.0297062 | − | 0.00965214i | ||||
\(681\) | 3.28522e7 | + | 2.38685e7i | 2.71454 | + | 1.97223i | ||||
\(682\) | −1.30152e6 | − | 422890.i | −0.107149 | − | 0.0348150i | ||||
\(683\) | − | 8.26689e6i | − | 0.678095i | −0.940769 | − | 0.339047i | \(-0.889895\pi\) | ||
0.940769 | − | 0.339047i | \(-0.110105\pi\) | |||||||
\(684\) | −3.21173e7 | − | 4.42056e7i | −2.62481 | − | 3.61274i | ||||
\(685\) | −1.50768e7 | − | 4.89876e6i | −1.22768 | − | 0.398896i | ||||
\(686\) | −572301. | + | 185952.i | −0.0464317 | + | 0.0150866i | ||||
\(687\) | 8.38432e6 | + | 2.58043e7i | 0.677760 | + | 2.08593i | ||||
\(688\) | −1.01421e7 | −0.816876 | ||||||||
\(689\) | −25155.9 | − | 77422.0i | −0.00201879 | − | 0.00621321i | ||||
\(690\) | 52446.9 | − | 72187.0i | 0.00419370 | − | 0.00577213i | ||||
\(691\) | −3.04902e6 | − | 4.19662e6i | −0.242921 | − | 0.334352i | 0.670095 | − | 0.742275i | \(-0.266253\pi\) |
−0.913016 | + | 0.407923i | \(0.866253\pi\) | |||||||
\(692\) | −4.19401e6 | + | 1.29078e7i | −0.332938 | + | 1.02468i | ||||
\(693\) | 4.67416e6 | − | 1.43856e7i | 0.369718 | − | 1.13788i | ||||
\(694\) | 411328.i | 0.0324182i | ||||||||
\(695\) | 2.92416e6 | − | 2.12453e6i | 0.229636 | − | 0.166840i | ||||
\(696\) | −3.12349e6 | −0.244409 | ||||||||
\(697\) | 2.80934e6 | − | 213493.i | 0.219040 | − | 0.0166457i | ||||
\(698\) | −1.54759e6 | −0.120231 | ||||||||
\(699\) | −2.06233e7 | + | 1.49837e7i | −1.59649 | + | 1.15992i | ||||
\(700\) | 471980.i | 0.0364065i | ||||||||
\(701\) | 3.73506e6 | − | 1.14953e7i | 0.287080 | − | 0.883540i | −0.698688 | − | 0.715427i | \(-0.746232\pi\) |
0.985768 | − | 0.168114i | \(-0.0537676\pi\) | |||||||
\(702\) | 4681.06 | − | 14406.8i | 0.000358510 | − | 0.00110338i | ||||
\(703\) | −2.45486e7 | − | 3.37883e7i | −1.87344 | − | 2.57856i | ||||
\(704\) | −1.07893e7 | + | 1.48502e7i | −0.820470 | + | 1.12928i | ||||
\(705\) | −201955. | − | 621554.i | −0.0153032 | − | 0.0470984i | ||||
\(706\) | 1.04230e6 | 0.0787008 | ||||||||
\(707\) | 1.92184e6 | + | 5.91481e6i | 0.144600 | + | 0.445033i | ||||
\(708\) | 3.93010e7 | − | 1.27697e7i | 2.94659 | − | 0.957407i | ||||
\(709\) | −2.63093e6 | − | 854840.i | −0.196559 | − | 0.0638660i | 0.209083 | − | 0.977898i | \(-0.432952\pi\) |
−0.405642 | + | 0.914032i | \(0.632952\pi\) | |||||||
\(710\) | −156897. | − | 215950.i | −0.0116807 | − | 0.0160771i | ||||
\(711\) | − | 2.01604e7i | − | 1.49563i | ||||||
\(712\) | 1.20217e6 | + | 390608.i | 0.0888721 | + | 0.0288763i | ||||
\(713\) | −615478. | − | 447171.i | −0.0453407 | − | 0.0329420i | ||||
\(714\) | −136295. | + | 44284.8i | −0.0100054 | + | 0.00325094i | ||||
\(715\) | −89464.7 | + | 64999.9i | −0.00654465 | + | 0.00475497i | ||||
\(716\) | −4.27082e6 | + | 5.87827e6i | −0.311335 | + | 0.428516i | ||||
\(717\) | −2.51149e7 | − | 1.82471e7i | −1.82446 | − | 1.32555i | ||||
\(718\) | 197501. | + | 143493.i | 0.0142975 | + | 0.0103877i | ||||
\(719\) | 5.39809e6 | − | 7.42984e6i | 0.389420 | − | 0.535991i | −0.568629 | − | 0.822594i | \(-0.692526\pi\) |
0.958049 | + | 0.286603i | \(0.0925261\pi\) | |||||||
\(720\) | 2.51693e7 | − | 1.82866e7i | 1.80942 | − | 1.31462i | ||||
\(721\) | 4.91629e6 | − | 1.59740e6i | 0.352208 | − | 0.114439i | ||||
\(722\) | 2.12083e6 | + | 1.54087e6i | 0.151413 | + | 0.110008i | ||||
\(723\) | −2.18937e7 | − | 7.11370e6i | −1.55766 | − | 0.506116i | ||||
\(724\) | 1.87899e7i | 1.33223i | ||||||||
\(725\) | 779455. | + | 1.07283e6i | 0.0550739 | + | 0.0758028i | ||||
\(726\) | 2.04568e6 | + | 664680.i | 0.144044 | + | 0.0468027i | ||||
\(727\) | −730319. | + | 237295.i | −0.0512479 | + | 0.0166515i | −0.334529 | − | 0.942386i | \(-0.608577\pi\) |
0.283281 | + | 0.959037i | \(0.408577\pi\) | |||||||
\(728\) | −1354.20 | − | 4167.79i | −9.47007e−5 | − | 0.000291459i | ||||
\(729\) | −1.36494e7 | −0.951249 | ||||||||
\(730\) | −350961. | − | 1.08015e6i | −0.0243754 | − | 0.0750197i | ||||
\(731\) | −1.55026e6 | + | 2.13374e6i | −0.107302 | + | 0.147689i | ||||
\(732\) | −466942. | − | 642690.i | −0.0322096 | − | 0.0443327i | ||||
\(733\) | −6.78240e6 | + | 2.08741e7i | −0.466255 | + | 1.43499i | 0.391142 | + | 0.920330i | \(0.372080\pi\) |
−0.857397 | + | 0.514655i | \(0.827920\pi\) | |||||||
\(734\) | −368272. | + | 1.13342e6i | −0.0252306 | + | 0.0776519i | ||||
\(735\) | − | 2.25306e7i | − | 1.53835i | ||||||
\(736\) | 144744. | − | 105162.i | 0.00984930 | − | 0.00715593i | ||||
\(737\) | −2.14251e7 | −1.45296 | ||||||||
\(738\) | −2.48447e6 | + | 1.02128e6i | −0.167916 | + | 0.0690244i | ||||
\(739\) | 1.54816e6 | 0.104281 | 0.0521405 | − | 0.998640i | \(-0.483396\pi\) | ||||
0.0521405 | + | 0.998640i | \(0.483396\pi\) | |||||||
\(740\) | 1.93493e7 | − | 1.40581e7i | 1.29893 | − | 0.943731i | ||||
\(741\) | − | 304875.i | − | 0.0203975i | ||||||
\(742\) | 132634. | − | 408205.i | 0.00884391 | − | 0.0272188i | ||||
\(743\) | −4.84810e6 | + | 1.49209e7i | −0.322181 | + | 0.991571i | 0.650516 | + | 0.759492i | \(0.274553\pi\) |
−0.972697 | + | 0.232078i | \(0.925447\pi\) | |||||||
\(744\) | 2.54719e6 | + | 3.50591e6i | 0.168705 | + | 0.232203i | ||||
\(745\) | −1.51323e7 | + | 2.08278e7i | −0.998879 | + | 1.37484i | ||||
\(746\) | 35105.6 | + | 108044.i | 0.00230956 | + | 0.00710810i | ||||
\(747\) | 7.88334e6 | 0.516903 | ||||||||
\(748\) | 1.49240e6 | + | 4.59315e6i | 0.0975287 | + | 0.300162i | ||||
\(749\) | 4.60853e6 | − | 1.49740e6i | 0.300164 | − | 0.0975291i | ||||
\(750\) | 2.13329e6 | + | 693149.i | 0.138483 | + | 0.0449960i | ||||
\(751\) | −864751. | − | 1.19023e6i | −0.0559488 | − | 0.0770070i | 0.780126 | − | 0.625623i | \(-0.215155\pi\) |
−0.836075 | + | 0.548616i | \(0.815155\pi\) | |||||||
\(752\) | − | 432646.i | − | 0.0278989i | ||||||
\(753\) | −130850. | − | 42515.8i | −0.00840982 | − | 0.00273252i | ||||
\(754\) | −4966.32 | − | 3608.24i | −0.000318131 | − | 0.000231136i | ||||
\(755\) | −2.30315e6 | + | 748340.i | −0.147047 | + | 0.0477784i | ||||
\(756\) | −1.12935e7 | + | 8.20522e6i | −0.718662 | + | 0.522139i | ||||
\(757\) | −1.27396e7 | + | 1.75346e7i | −0.808011 | + | 1.11213i | 0.183616 | + | 0.982998i | \(0.441220\pi\) |
−0.991627 | + | 0.129133i | \(0.958780\pi\) | |||||||
\(758\) | −668563. | − | 485739.i | −0.0422639 | − | 0.0307065i | ||||
\(759\) | 1.85661e6 | + | 1.34890e6i | 0.116981 | + | 0.0849917i | ||||
\(760\) | −2.48311e6 | + | 3.41771e6i | −0.155942 | + | 0.214635i | ||||
\(761\) | 6.50166e6 | − | 4.72373e6i | 0.406970 | − | 0.295681i | −0.365404 | − | 0.930849i | \(-0.619069\pi\) |
0.772374 | + | 0.635168i | \(0.219069\pi\) | |||||||
\(762\) | −1.58680e6 | + | 515582.i | −0.0989998 | + | 0.0321670i | ||||
\(763\) | −6.42896e6 | − | 4.67091e6i | −0.399787 | − | 0.290463i | ||||
\(764\) | 2.51996e6 | + | 818784.i | 0.156192 | + | 0.0507500i | ||||
\(765\) | − | 8.09042e6i | − | 0.499824i | ||||||
\(766\) | 220883. | + | 304019.i | 0.0136016 | + | 0.0187210i | ||||
\(767\) | 154921. | + | 50337.0i | 0.00950873 | + | 0.00308957i | ||||
\(768\) | 2.70759e7 | − | 8.79750e6i | 1.65646 | − | 0.538216i | ||||
\(769\) | 172687. | + | 531477.i | 0.0105304 | + | 0.0324092i | 0.956184 | − | 0.292768i | \(-0.0945762\pi\) |
−0.945653 | + | 0.325177i | \(0.894576\pi\) | |||||||
\(770\) | −583053. | −0.0354390 | ||||||||
\(771\) | 4.78337e6 | + | 1.47217e7i | 0.289799 | + | 0.891911i | ||||
\(772\) | 7.10820e6 | − | 9.78360e6i | 0.429256 | − | 0.590820i | ||||
\(773\) | 8.24747e6 | + | 1.13517e7i | 0.496446 | + | 0.683299i | 0.981561 | − | 0.191151i | \(-0.0612222\pi\) |
−0.485115 | + | 0.874451i | \(0.661222\pi\) | |||||||
\(774\) | 777049. | − | 2.39151e6i | 0.0466225 | − | 0.143489i | ||||
\(775\) | 568535. | − | 1.74977e6i | 0.0340019 | − | 0.104647i | ||||
\(776\) | − | 2.53259e6i | − | 0.150977i | ||||||
\(777\) | −1.47671e7 | + | 1.07289e7i | −0.877491 | + | 0.637535i | ||||
\(778\) | −418651. | −0.0247972 | ||||||||
\(779\) | −2.40857e7 | + | 2.04593e7i | −1.42205 | + | 1.20794i | ||||
\(780\) | 174591. | 0.0102751 | ||||||||
\(781\) | 5.55410e6 | − | 4.03529e6i | 0.325826 | − | 0.236727i | ||||
\(782\) | − | 15361.0i | − | 0.000898259i | ||||||
\(783\) | −1.21200e7 | + | 3.73015e7i | −0.706477 | + | 2.17431i | ||||
\(784\) | 4.60910e6 | − | 1.41853e7i | 0.267809 | − | 0.824232i | ||||
\(785\) | 1.22163e7 | + | 1.68143e7i | 0.707566 | + | 0.973881i | ||||
\(786\) | 774759. | − | 1.06636e6i | 0.0447312 | − | 0.0615672i | ||||
\(787\) | 579701. | + | 1.78414e6i | 0.0333632 | + | 0.102681i | 0.966351 | − | 0.257226i | \(-0.0828084\pi\) |
−0.932988 | + | 0.359907i | \(0.882808\pi\) | |||||||
\(788\) | −2.36432e7 | −1.35641 | ||||||||
\(789\) | −1.43580e7 | − | 4.41893e7i | −0.821109 | − | 2.52712i | ||||
\(790\) | −739080. | + | 240142.i | −0.0421331 | + | 0.0136899i | ||||
\(791\) | 5.43098e6 | + | 1.76463e6i | 0.308629 | + | 0.100280i | ||||
\(792\) | −5.42843e6 | − | 7.47160e6i | −0.307512 | − | 0.423254i | ||||
\(793\) | − | 3131.49i | − | 0.000176835i | ||||||
\(794\) | 1.58180e6 | + | 513958.i | 0.0890431 | + | 0.0289318i | ||||
\(795\) | 2.77474e7 | + | 2.01597e7i | 1.55706 | + | 1.13127i | ||||
\(796\) | −3.19416e6 | + | 1.03785e6i | −0.178679 | + | 0.0580564i | ||||
\(797\) | 2.13780e7 | − | 1.55320e7i | 1.19212 | − | 0.866128i | 0.198635 | − | 0.980073i | \(-0.436349\pi\) |
0.993487 | + | 0.113946i | \(0.0363491\pi\) | |||||||
\(798\) | 944831. | − | 1.30045e6i | 0.0525227 | − | 0.0722913i | ||||
\(799\) | −91022.2 | − | 66131.5i | −0.00504406 | − | 0.00366472i | ||||
\(800\) | 350042. | + | 254320.i | 0.0193373 | + | 0.0140493i | ||||
\(801\) | 1.59601e7 | − | 2.19672e7i | 0.878930 | − | 1.20974i | ||||
\(802\) | 1.50222e6 | − | 1.09143e6i | 0.0824703 | − | 0.0599182i | ||||
\(803\) | 2.77807e7 | − | 9.02650e6i | 1.52039 | − | 0.494004i | ||||
\(804\) | 2.73658e7 | + | 1.98824e7i | 1.49303 | + | 1.08475i | ||||
\(805\) | −308265. | − | 100161.i | −0.0167662 | − | 0.00544767i | ||||
\(806\) | 8516.86i | 0.000461787i | ||||||||
\(807\) | 5.23359e6 | + | 7.20341e6i | 0.282889 | + | 0.389363i | ||||
\(808\) | 3.61139e6 | + | 1.17341e6i | 0.194602 | + | 0.0632299i | ||||
\(809\) | 1.80957e7 | − | 5.87964e6i | 0.972083 | − | 0.315849i | 0.220426 | − | 0.975404i | \(-0.429255\pi\) |
0.751657 | + | 0.659555i | \(0.229255\pi\) | |||||||
\(810\) | 981935. | + | 3.02208e6i | 0.0525860 | + | 0.161843i | ||||
\(811\) | 1.11092e7 | 0.593102 | 0.296551 | − | 0.955017i | \(-0.404164\pi\) | ||||
0.296551 | + | 0.955017i | \(0.404164\pi\) | |||||||
\(812\) | 1.74811e6 | + | 5.38013e6i | 0.0930420 | + | 0.286354i | ||||
\(813\) | 7.75307e6 | − | 1.06712e7i | 0.411384 | − | 0.566221i | ||||
\(814\) | −2.06868e6 | − | 2.84729e6i | −0.109429 | − | 0.150616i | ||||
\(815\) | −1.81102e6 | + | 5.57376e6i | −0.0955059 | + | 0.293937i | ||||
\(816\) | 2.34265e6 | − | 7.20994e6i | 0.123164 | − | 0.379058i | ||||
\(817\) | − | 2.95834e7i | − | 1.55058i | ||||||
\(818\) | −932308. | + | 677361.i | −0.0487165 | + | 0.0353946i | ||||
\(819\) | −94136.2 | −0.00490396 | ||||||||
\(820\) | −1.17163e7 | − | 1.37930e7i | −0.608494 | − | 0.716350i | ||||
\(821\) | 8.27926e6 | 0.428680 | 0.214340 | − | 0.976759i | \(-0.431240\pi\) | ||||
0.214340 | + | 0.976759i | \(0.431240\pi\) | |||||||
\(822\) | 2.97957e6 | − | 2.16479e6i | 0.153806 | − | 0.111747i | ||||
\(823\) | 2.55800e7i | 1.31644i | 0.752825 | + | 0.658221i | \(0.228691\pi\) | ||||
−0.752825 | + | 0.658221i | \(0.771309\pi\) | |||||||
\(824\) | 975322. | − | 3.00173e6i | 0.0500415 | − | 0.154012i | ||||
\(825\) | −1.71500e6 | + | 5.27823e6i | −0.0877263 | + | 0.269994i | ||||
\(826\) | 504821. | + | 694826.i | 0.0257447 | + | 0.0354345i | ||||
\(827\) | −5.47307e6 | + | 7.53303e6i | −0.278270 | + | 0.383006i | −0.925160 | − | 0.379577i | \(-0.876069\pi\) |
0.646890 | + | 0.762584i | \(0.276069\pi\) | |||||||
\(828\) | −791003. | − | 2.43446e6i | −0.0400961 | − | 0.123403i | ||||
\(829\) | −9.91867e6 | −0.501265 | −0.250632 | − | 0.968082i | \(-0.580639\pi\) | ||||
−0.250632 | + | 0.968082i | \(0.580639\pi\) | |||||||
\(830\) | −93903.0 | − | 289004.i | −0.00473134 | − | 0.0145616i | ||||
\(831\) | −4.62302e7 | + | 1.50211e7i | −2.32233 | + | 0.754570i | ||||
\(832\) | 108647. | + | 35301.5i | 0.00544138 | + | 0.00176801i | ||||
\(833\) | −2.27987e6 | − | 3.13797e6i | −0.113841 | − | 0.156688i | ||||
\(834\) | 839724.i | 0.0418044i | ||||||||
\(835\) | −1.25139e7 | − | 4.06600e6i | −0.621120 | − | 0.201814i | ||||
\(836\) | −4.38253e7 | − | 3.18410e7i | −2.16875 | − | 1.57569i | ||||
\(837\) | 5.17522e7 | − | 1.68153e7i | 2.55338 | − | 0.829643i | ||||
\(838\) | −1.43872e6 | + | 1.04529e6i | −0.0707729 | + | 0.0514195i | ||||
\(839\) | 1.72777e7 | − | 2.37807e7i | 0.847385 | − | 1.16632i | −0.137048 | − | 0.990564i | \(-0.543762\pi\) |
0.984433 | − | 0.175760i | \(-0.0562384\pi\) | |||||||
\(840\) | 1.49370e6 | + | 1.08524e6i | 0.0730408 | + | 0.0530673i | ||||
\(841\) | −3.73529e6 | − | 2.71385e6i | −0.182110 | − | 0.132311i | ||||
\(842\) | 163147. | − | 224553.i | 0.00793048 | − | 0.0109154i | ||||
\(843\) | 1.32559e7 | − | 9.63097e6i | 0.642451 | − | 0.466768i | ||||
\(844\) | −6.50261e6 | + | 2.11283e6i | −0.314218 | + | 0.102096i | ||||
\(845\) | −1.58725e7 | − | 1.15321e7i | −0.764723 | − | 0.555604i | ||||
\(846\) | 102018. | + | 33147.7i | 0.00490062 | + | 0.00159231i | ||||
\(847\) | − | 7.81353e6i | − | 0.374230i | ||||||
\(848\) | 1.33458e7 | + | 1.83689e7i | 0.637315 | + | 0.877189i | ||||
\(849\) | −8.14352e6 | − | 2.64599e6i | −0.387742 | − | 0.125985i | ||||
\(850\) | 35330.1 | − | 11479.4i | 0.00167725 | − | 0.000544971i | ||||
\(851\) | −604598. | − | 1.86076e6i | −0.0286182 | − | 0.0880778i | ||||
\(852\) | −1.08389e7 | −0.511546 | ||||||||
\(853\) | 1.04421e7 | + | 3.21376e7i | 0.491380 | + | 1.51231i | 0.822524 | + | 0.568731i | \(0.192565\pi\) |
−0.331144 | + | 0.943580i | \(0.607435\pi\) | |||||||
\(854\) | 9704.74 | − | 13357.4i | 0.000455344 | − | 0.000626727i | ||||
\(855\) | 5.33400e7 | + | 7.34162e7i | 2.49539 | + | 3.43461i | ||||
\(856\) | 914267. | − | 2.81382e6i | 0.0426470 | − | 0.131254i | ||||
\(857\) | −1.09931e7 | + | 3.38333e7i | −0.511290 | + | 1.57359i | 0.278641 | + | 0.960395i | \(0.410116\pi\) |
−0.789932 | + | 0.613195i | \(0.789884\pi\) | |||||||
\(858\) | − | 25691.4i | − | 0.00119143i | ||||||
\(859\) | −2.66223e7 | + | 1.93422e7i | −1.23101 | + | 0.894382i | −0.996966 | − | 0.0778433i | \(-0.975197\pi\) |
−0.234046 | + | 0.972226i | \(0.575197\pi\) | |||||||
\(860\) | 1.69414e7 | 0.781092 | ||||||||
\(861\) | 8.94170e6 | + | 1.05266e7i | 0.411066 | + | 0.483929i | ||||
\(862\) | 1.19148e6 | 0.0546159 | ||||||||
\(863\) | 6.58293e6 | − | 4.78278e6i | 0.300879 | − | 0.218601i | −0.427094 | − | 0.904207i | \(-0.640463\pi\) |
0.727973 | + | 0.685606i | \(0.240463\pi\) | |||||||
\(864\) | 1.27971e7i | 0.583211i | ||||||||
\(865\) | 6.96536e6 | − | 2.14372e7i | 0.316522 | − | 0.974153i | ||||
\(866\) | 288972. | − | 889363.i | 0.0130936 | − | 0.0402981i | ||||
\(867\) | 2.28547e7 | + | 3.14568e7i | 1.03259 | + | 1.42124i | ||||
\(868\) | 4.61326e6 | − | 6.34961e6i | 0.207830 | − | 0.286054i | ||||
\(869\) | −6.17630e6 | − | 1.90087e7i | −0.277446 | − | 0.853892i | ||||
\(870\) | 2.58633e6 | 0.115847 | ||||||||
\(871\) | 41204.0 | + | 126813.i | 0.00184032 | + | 0.00566394i | ||||
\(872\) | −4.61449e6 | + | 1.49934e6i | −0.205510 | + | 0.0667741i | ||||
\(873\) | −5.17403e7 | − | 1.68114e7i | −2.29770 | − | 0.746567i | ||||
\(874\) | 101275. | + | 139393.i | 0.00448458 | + | 0.00617250i | ||||
\(875\) | − | 8.14820e6i | − | 0.359784i | ||||||
\(876\) | −4.38603e7 | − | 1.42511e7i | −1.93113 | − | 0.627461i | ||||
\(877\) | 1.57853e7 | + | 1.14687e7i | 0.693031 | + | 0.503517i | 0.877655 | − | 0.479293i | \(-0.159107\pi\) |
−0.184624 | + | 0.982809i | \(0.559107\pi\) | |||||||
\(878\) | −572308. | + | 185954.i | −0.0250549 | + | 0.00814085i | ||||
\(879\) | 2.26265e7 | − | 1.64391e7i | 0.987748 | − | 0.717641i | ||||
\(880\) | 1.81293e7 | − | 2.49528e7i | 0.789175 | − | 1.08621i | ||||
\(881\) | −1.12030e7 | − | 8.13942e6i | −0.486287 | − | 0.353308i | 0.317467 | − | 0.948269i | \(-0.397168\pi\) |
−0.803755 | + | 0.594961i | \(0.797168\pi\) | |||||||
\(882\) | 2.99178e6 | + | 2.17366e6i | 0.129497 | + | 0.0940847i | ||||
\(883\) | −1.86613e7 | + | 2.56851e7i | −0.805454 | + | 1.10861i | 0.186555 | + | 0.982444i | \(0.440268\pi\) |
−0.992009 | + | 0.126167i | \(0.959732\pi\) | |||||||
\(884\) | 24316.3 | − | 17666.8i | 0.00104656 | − | 0.000760374i | ||||
\(885\) | −6.52707e7 | + | 2.12077e7i | −2.80130 | + | 0.910198i | ||||
\(886\) | 1.13744e6 | + | 826397.i | 0.0486792 | + | 0.0353675i | ||||
\(887\) | −1.46740e7 | − | 4.76788e6i | −0.626239 | − | 0.203477i | −0.0213307 | − | 0.999772i | \(-0.506790\pi\) |
−0.604908 | + | 0.796295i | \(0.706790\pi\) | |||||||
\(888\) | 1.11448e7i | 0.474285i | ||||||||
\(889\) | 3.56247e6 | + | 4.90332e6i | 0.151181 | + | 0.208083i | ||||
\(890\) | −995427. | − | 323434.i | −0.0421245 | − | 0.0136871i | ||||
\(891\) | −7.77262e7 | + | 2.52548e7i | −3.28000 | + | 1.06574i | ||||
\(892\) | 4.44265e6 | + | 1.36731e7i | 0.186952 | + | 0.575379i | ||||
\(893\) | 1.26198e6 | 0.0529571 | ||||||||
\(894\) | −1.84825e6 | − | 5.68832e6i | −0.0773422 | − | 0.238035i | ||||
\(895\) | 7.09293e6 | − | 9.76258e6i | 0.295984 | − | 0.407387i | ||||
\(896\) | 1.44515e6 | + | 1.98908e6i | 0.0601373 | + | 0.0827719i | ||||
\(897\) | 4413.46 | − | 13583.2i | 0.000183146 | − | 0.000563667i | ||||
\(898\) | 542002. | − | 1.66811e6i | 0.0224290 | − | 0.0690294i | ||||
\(899\) | − | 2.20515e7i | − | 0.909994i | ||||||
\(900\) | 5.00810e6 | − | 3.63860e6i | 0.206095 | − | 0.149737i | ||||
\(901\) | 5.90449e6 | 0.242309 | ||||||||
\(902\) | −2.02967e6 | + | 1.72407e6i | −0.0830632 | + | 0.0705569i | ||||
\(903\) | −1.29294e7 | −0.527664 | ||||||||
\(904\) | 2.82074e6 | − | 2.04939e6i | 0.114800 | − | 0.0834072i | ||||
\(905\) | − | 3.12061e7i | − | 1.26654i | ||||||
\(906\) | 173857. | − | 535076.i | 0.00703673 | − | 0.0216568i | ||||
\(907\) | 5.88983e6 | − | 1.81270e7i | 0.237730 | − | 0.731658i | −0.759017 | − | 0.651070i | \(-0.774320\pi\) |
0.996748 | − | 0.0805878i | \(-0.0256797\pi\) | |||||||
\(908\) | −2.63941e7 | − | 3.63283e7i | −1.06241 | − | 1.46228i | ||||
\(909\) | 4.79451e7 | − | 6.59908e7i | 1.92458 | − | 2.64895i | ||||
\(910\) | 1121.31 | + | 3451.04i | 4.48872e−5 | + | 0.000138148i | ||||
\(911\) | 4.46974e7 | 1.78438 | 0.892188 | − | 0.451664i | \(-0.149169\pi\) | ||||
0.892188 | + | 0.451664i | \(0.149169\pi\) | |||||||
\(912\) | 2.62767e7 | + | 8.08714e7i | 1.04613 | + | 3.21964i | ||||
\(913\) | 7.43300e6 | − | 2.41513e6i | 0.295112 | − | 0.0958878i | ||||
\(914\) | −1.84556e6 | − | 599660.i | −0.0730741 | − | 0.0237432i | ||||
\(915\) | 775492. | + | 1.06737e6i | 0.0306214 | + | 0.0421467i | ||||
\(916\) | − | 3.00031e7i | − | 1.18148i | ||||||
\(917\) | −4.55377e6 | − | 1.47961e6i | −0.178833 | − | 0.0581064i | ||||
\(918\) | 888882. | + | 645810.i | 0.0348127 | + | 0.0252929i | ||||
\(919\) | 2.01437e7 | − | 6.54508e6i | 0.786774 | − | 0.255638i | 0.112044 | − | 0.993703i | \(-0.464260\pi\) |
0.674730 | + | 0.738065i | \(0.264260\pi\) | |||||||
\(920\) | −160107. | + | 116325.i | −0.00623650 | + | 0.00453108i | ||||
\(921\) | −2.11501e7 | + | 2.91106e7i | −0.821606 | + | 1.13084i | ||||
\(922\) | −176971. | − | 128577.i | −0.00685606 | − | 0.00498122i | ||||
\(923\) | −34566.0 | − | 25113.6i | −0.00133550 | − | 0.000970299i | ||||
\(924\) | −1.39160e7 | + | 1.91538e7i | −0.536211 | + | 0.738031i | ||||
\(925\) | 3.82791e6 | − | 2.78114e6i | 0.147098 | − | 0.106873i | ||||
\(926\) | 638219. | − | 207370.i | 0.0244592 | − | 0.00794728i | ||||
\(927\) | −5.48505e7 | − | 3.98512e7i | −2.09643 | − | 1.52315i | ||||
\(928\) | 4.93210e6 | + | 1.60253e6i | 0.188002 | + | 0.0610854i | ||||
\(929\) | 3.53509e7i | 1.34388i | 0.740604 | + | 0.671942i | \(0.234540\pi\) | ||||
−0.740604 | + | 0.671942i | \(0.765460\pi\) | |||||||
\(930\) | −2.10914e6 | − | 2.90298e6i | −0.0799647 | − | 0.110062i | ||||
\(931\) | 4.13771e7 | + | 1.34442e7i | 1.56454 | + | 0.508349i | ||||
\(932\) | 2.68095e7 | − | 8.71092e6i | 1.01099 | − | 0.328492i | ||||
\(933\) | −2.03111e7 | − | 6.25112e7i | −0.763888 | − | 2.35101i | ||||
\(934\) | 697725. | 0.0261708 | ||||||||
\(935\) | −2.47857e6 | − | 7.62825e6i | −0.0927197 | − | 0.285362i | ||||
\(936\) | −33783.9 | + | 46499.5i | −0.00126043 | + | 0.00173484i | ||||
\(937\) | −2.21713e7 | − | 3.05162e7i | −0.824978 | − | 1.13549i | −0.988837 | − | 0.149002i | \(-0.952394\pi\) |
0.163859 | − | 0.986484i | \(-0.447606\pi\) | |||||||
\(938\) | −217247. | + | 668617.i | −0.00806207 | + | 0.0248125i | ||||
\(939\) | 1.72555e7 | − | 5.31071e7i | 0.638652 | − | 1.96557i | ||||
\(940\) | 722692.i | 0.0266768i | ||||||||
\(941\) | 1.38601e7 | − | 1.00700e7i | 0.510262 | − | 0.370727i | −0.302661 | − | 0.953098i | \(-0.597875\pi\) |
0.812923 | + | 0.582371i | \(0.197875\pi\) | |||||||
\(942\) | −4.82853e6 | −0.177292 | ||||||||
\(943\) | −1.36928e6 | + | 562861.i | −0.0501433 | + | 0.0206121i | ||||
\(944\) | −4.54330e7 | −1.65936 | ||||||||
\(945\) | 1.87562e7 | − | 1.36271e7i | 0.683226 | − | 0.496393i | ||||
\(946\) | − | 2.49295e6i | − | 0.0905702i | ||||||
\(947\) | −1.02473e7 | + | 3.15380e7i | −0.371308 | + | 1.14277i | 0.574627 | + | 0.818415i | \(0.305147\pi\) |
−0.945936 | + | 0.324354i | \(0.894853\pi\) | |||||||
\(948\) | −9.75115e6 | + | 3.00110e7i | −0.352399 | + | 1.08457i | ||||
\(949\) | −106854. | − | 147072.i | −0.00385146 | − | 0.00530108i | ||||
\(950\) | −244918. | + | 337101.i | −0.00880464 | + | 0.0121186i | ||||
\(951\) | 358941. | + | 1.10471e6i | 0.0128698 | + | 0.0396091i | ||||
\(952\) | 317851. | 0.0113666 | ||||||||
\(953\) | −8.30201e6 | − | 2.55510e7i | −0.296109 | − | 0.911329i | −0.982847 | − | 0.184424i | \(-0.940958\pi\) |
0.686738 | − | 0.726905i | \(-0.259042\pi\) | |||||||
\(954\) | −5.35390e6 | + | 1.73959e6i | −0.190458 | + | 0.0618835i | ||||
\(955\) | −4.18512e6 | − | 1.35983e6i | −0.148491 | − | 0.0482476i | ||||
\(956\) | 2.01778e7 | + | 2.77723e7i | 0.714050 | + | 0.982806i | ||||
\(957\) | 6.65189e7i | 2.34782i | ||||||||
\(958\) | −3.09825e6 | − | 1.00668e6i | −0.109069 | − | 0.0354387i | ||||
\(959\) | −1.08236e7 | − | 7.86380e6i | −0.380036 | − | 0.276112i | ||||
\(960\) | −4.57746e7 | + | 1.48731e7i | −1.60305 | + | 0.520862i | ||||
\(961\) | −1.58983e6 | + | 1.15508e6i | −0.0555319 | + | 0.0403463i | ||||
\(962\) | −12874.4 | + | 17720.1i | −0.000448528 | + | 0.000617346i | ||||
\(963\) | −5.14169e7 | − | 3.73566e7i | −1.78665 | − | 1.29808i | ||||
\(964\) | 2.05945e7 | + | 1.49628e7i | 0.713772 | + | 0.518585i | ||||
\(965\) | −1.18052e7 | + | 1.62485e7i | −0.408090 | + | 0.561688i | ||||
\(966\) | 60921.3 | − | 44261.9i | 0.00210052 | − | 0.00152611i | ||||
\(967\) | 1.15516e7 | − | 3.75336e6i | 0.397263 | − | 0.129078i | −0.103571 | − | 0.994622i | \(-0.533027\pi\) |
0.500834 | + | 0.865544i | \(0.333027\pi\) | |||||||
\(968\) | −3.85957e6 | − | 2.80415e6i | −0.132389 | − | 0.0961861i | ||||
\(969\) | 2.10306e7 | + | 6.83327e6i | 0.719520 | + | 0.233786i | ||||
\(970\) | 2.09705e6i | 0.0715615i | ||||||||
\(971\) | 2.71084e7 | + | 3.73116e7i | 0.922691 | + | 1.26998i | 0.962643 | + | 0.270774i | \(0.0872796\pi\) |
−0.0399518 | + | 0.999202i | \(0.512720\pi\) | |||||||
\(972\) | 5.03728e7 | + | 1.63671e7i | 1.71014 | + | 0.555657i | ||||
\(973\) | 2.90108e6 | − | 942619.i | 0.0982377 | − | 0.0319194i | ||||
\(974\) | 1.05622e6 | + | 3.25070e6i | 0.0356743 | + | 0.109794i | ||||
\(975\) | 34539.6 | 0.00116361 | ||||||||
\(976\) | 269899. | + | 830663.i | 0.00906935 | + | 0.0279126i | ||||
\(977\) | −2.83182e6 | + | 3.89766e6i | −0.0949137 | + | 0.130637i | −0.853833 | − | 0.520548i | \(-0.825728\pi\) |
0.758919 | + | 0.651185i | \(0.225728\pi\) | |||||||
\(978\) | −800301. | − | 1.10152e6i | −0.0267551 | − | 0.0368252i | ||||
\(979\) | 8.31853e6 | − | 2.56018e7i | 0.277389 | − | 0.853717i | ||||
\(980\) | −7.69904e6 | + | 2.36952e7i | −0.256078 | + | 0.788126i | ||||
\(981\) | 1.04226e8i | 3.45782i | ||||||||
\(982\) | −18061.8 | + | 13122.6i | −0.000597698 | + | 0.000434253i | ||||
\(983\) | 2.96953e7 | 0.980176 | 0.490088 | − | 0.871673i | \(-0.336965\pi\) | ||||
0.490088 | + | 0.871673i | \(0.336965\pi\) | |||||||
\(984\) | 8.40876e6 | − | 639015.i | 0.276850 | − | 0.0210389i | ||||
\(985\) | 3.92664e7 | 1.28953 | ||||||||
\(986\) | 360213. | − | 261710.i | 0.0117996 | − | 0.00857290i | ||||
\(987\) | − | 551547.i | − | 0.0180214i | ||||||
\(988\) | −104180. | + | 320633.i | −0.00339541 | + | 0.0104500i | ||||
\(989\) | 428258. | − | 1.31804e6i | 0.0139224 | − | 0.0428489i | ||||
\(990\) | 4.49488e6 | + | 6.18668e6i | 0.145757 | + | 0.200618i | ||||
\(991\) | −2.02502e7 | + | 2.78720e7i | −0.655005 | + | 0.901537i | −0.999303 | − | 0.0373236i | \(-0.988117\pi\) |
0.344299 | + | 0.938860i | \(0.388117\pi\) | |||||||
\(992\) | −2.22336e6 | − | 6.84280e6i | −0.0717350 | − | 0.220777i | ||||
\(993\) | 1.58652e7 | 0.510589 | ||||||||
\(994\) | −69612.5 | − | 214245.i | −0.00223471 | − | 0.00687773i | ||||
\(995\) | 5.30483e6 | − | 1.72364e6i | 0.169869 | − | 0.0551937i | ||||
\(996\) | −1.17352e7 | − | 3.81301e6i | −0.374838 | − | 0.121792i | ||||
\(997\) | 1.91961e7 | + | 2.64211e7i | 0.611610 | + | 0.841809i | 0.996709 | − | 0.0810662i | \(-0.0258325\pi\) |
−0.385098 | + | 0.922875i | \(0.625833\pi\) | |||||||
\(998\) | 1.43145e6i | 0.0454936i | ||||||||
\(999\) | 1.33094e8 | + | 4.32448e7i | 4.21934 | + | 1.37095i |
(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 | 41.6.f.a.4.9 | ✓ | 64 | |
41.31 | even | 10 | inner | 41.6.f.a.31.9 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
41.6.f.a.4.9 | ✓ | 64 | 1.1 | even | 1 | trivial | |
41.6.f.a.31.9 | yes | 64 | 41.31 | even | 10 | inner |