Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [33,6,Mod(2,33)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(33, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 1]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("33.2");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 33 = 3 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 33.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: | \(5.29266605383\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 2.3 | ||
Character | \(\chi\) | \(=\) | 33.2 |
Dual form | 33.6.f.a.17.3 |
$q$-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 \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{1}{10}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.81967 | + | 8.67805i | −0.498452 | + | 1.53408i | 0.313056 | + | 0.949735i | \(0.398647\pi\) |
−0.811507 | + | 0.584342i | \(0.801353\pi\) | |||||||
\(3\) | 12.9564 | + | 8.66789i | 0.831152 | + | 0.556045i | ||||
\(4\) | −41.4695 | − | 30.1293i | −1.29592 | − | 0.941541i | ||||
\(5\) | −53.2208 | + | 17.2925i | −0.952043 | + | 0.309338i | −0.743546 | − | 0.668685i | \(-0.766857\pi\) |
−0.208498 | + | 0.978023i | \(0.566857\pi\) | |||||||
\(6\) | −111.753 | + | 87.9955i | −1.26731 | + | 0.997889i | ||||
\(7\) | −14.1075 | + | 19.4173i | −0.108819 | + | 0.149776i | −0.859953 | − | 0.510374i | \(-0.829507\pi\) |
0.751134 | + | 0.660150i | \(0.229507\pi\) | |||||||
\(8\) | 142.170 | − | 103.293i | 0.785387 | − | 0.570617i | ||||
\(9\) | 92.7354 | + | 224.609i | 0.381627 | + | 0.924316i | ||||
\(10\) | − | 510.612i | − | 1.61470i | ||||||
\(11\) | −240.584 | − | 321.202i | −0.599494 | − | 0.800379i | ||||
\(12\) | −276.136 | − | 749.820i | −0.553567 | − | 1.50315i | ||||
\(13\) | 323.676 | + | 105.169i | 0.531192 | + | 0.172595i | 0.562319 | − | 0.826921i | \(-0.309909\pi\) |
−0.0311266 | + | 0.999515i | \(0.509909\pi\) | |||||||
\(14\) | −128.725 | − | 177.175i | −0.175527 | − | 0.241592i | ||||
\(15\) | −839.439 | − | 237.264i | −0.963298 | − | 0.272273i | ||||
\(16\) | −11.3712 | − | 34.9969i | −0.0111047 | − | 0.0341767i | ||||
\(17\) | 463.558 | + | 1426.69i | 0.389029 | + | 1.19731i | 0.933515 | + | 0.358538i | \(0.116725\pi\) |
−0.544486 | + | 0.838770i | \(0.683275\pi\) | |||||||
\(18\) | −2210.65 | + | 171.440i | −1.60820 | + | 0.124718i | ||||
\(19\) | 167.174 | + | 230.095i | 0.106239 | + | 0.146226i | 0.858826 | − | 0.512267i | \(-0.171194\pi\) |
−0.752587 | + | 0.658493i | \(0.771194\pi\) | |||||||
\(20\) | 2728.05 | + | 886.397i | 1.52503 | + | 0.495511i | ||||
\(21\) | −351.088 | + | 129.295i | −0.173727 | + | 0.0639786i | ||||
\(22\) | 3465.77 | − | 1182.12i | 1.52666 | − | 0.520719i | ||||
\(23\) | 4346.85i | 1.71338i | 0.515828 | + | 0.856692i | \(0.327484\pi\) | ||||
−0.515828 | + | 0.856692i | \(0.672516\pi\) | |||||||
\(24\) | 2737.34 | − | 105.984i | 0.970065 | − | 0.0375587i | ||||
\(25\) | 5.24910 | − | 3.81369i | 0.00167971 | − | 0.00122038i | ||||
\(26\) | −1825.32 | + | 2512.33i | −0.529547 | + | 0.728859i | ||||
\(27\) | −745.370 | + | 3713.94i | −0.196772 | + | 0.980449i | ||||
\(28\) | 1170.06 | − | 380.175i | 0.282041 | − | 0.0916406i | ||||
\(29\) | −6126.66 | − | 4451.28i | −1.35278 | − | 0.982856i | −0.998867 | − | 0.0475790i | \(-0.984849\pi\) |
−0.353917 | − | 0.935277i | \(-0.615151\pi\) | |||||||
\(30\) | 4425.93 | − | 6615.68i | 0.897845 | − | 1.34206i | ||||
\(31\) | −937.995 | + | 2886.85i | −0.175306 | + | 0.539536i | −0.999647 | − | 0.0265569i | \(-0.991546\pi\) |
0.824341 | + | 0.566093i | \(0.191546\pi\) | |||||||
\(32\) | 5959.20 | 1.02876 | ||||||||
\(33\) | −332.955 | − | 6246.96i | −0.0532232 | − | 0.998583i | ||||
\(34\) | −13687.9 | −2.03067 | ||||||||
\(35\) | 415.038 | − | 1277.36i | 0.0572688 | − | 0.176255i | ||||
\(36\) | 2921.63 | − | 12108.5i | 0.375724 | − | 1.55716i | ||||
\(37\) | 10155.5 | + | 7378.41i | 1.21954 | + | 0.886050i | 0.996062 | − | 0.0886584i | \(-0.0282579\pi\) |
0.223481 | + | 0.974708i | \(0.428258\pi\) | |||||||
\(38\) | −2468.16 | + | 801.952i | −0.277277 | + | 0.0900927i | ||||
\(39\) | 3282.07 | + | 4168.19i | 0.345531 | + | 0.438819i | ||||
\(40\) | −5780.23 | + | 7955.81i | −0.571209 | + | 0.786202i | ||||
\(41\) | 7654.67 | − | 5561.45i | 0.711159 | − | 0.516688i | −0.172388 | − | 0.985029i | \(-0.555148\pi\) |
0.883548 | + | 0.468342i | \(0.155148\pi\) | |||||||
\(42\) | −132.079 | − | 3411.33i | −0.0115534 | − | 0.298401i | ||||
\(43\) | − | 8566.64i | − | 0.706545i | −0.935521 | − | 0.353272i | \(-0.885069\pi\) | ||
0.935521 | − | 0.353272i | \(-0.114931\pi\) | |||||||
\(44\) | 299.294 | + | 20568.7i | 0.0233059 | + | 1.60168i | ||||
\(45\) | −8819.50 | − | 10350.2i | −0.649251 | − | 0.761938i | ||||
\(46\) | −37722.2 | − | 12256.7i | −2.62846 | − | 0.854040i | ||||
\(47\) | 7903.45 | + | 10878.2i | 0.521882 | + | 0.718309i | 0.985866 | − | 0.167535i | \(-0.0535806\pi\) |
−0.463984 | + | 0.885843i | \(0.653581\pi\) | |||||||
\(48\) | 156.020 | − | 551.997i | 0.00977411 | − | 0.0345807i | ||||
\(49\) | 5015.64 | + | 15436.6i | 0.298426 | + | 0.918460i | ||||
\(50\) | 18.2947 | + | 56.3053i | 0.00103490 | + | 0.00318511i | ||||
\(51\) | −6360.32 | + | 22502.7i | −0.342415 | + | 1.21146i | ||||
\(52\) | −10254.0 | − | 14113.4i | −0.525877 | − | 0.723808i | ||||
\(53\) | −13026.0 | − | 4232.41i | −0.636975 | − | 0.206966i | −0.0273127 | − | 0.999627i | \(-0.508695\pi\) |
−0.609662 | + | 0.792661i | \(0.708695\pi\) | |||||||
\(54\) | −30128.0 | − | 16940.4i | −1.40600 | − | 0.790569i | ||||
\(55\) | 18358.4 | + | 12934.3i | 0.818332 | + | 0.576550i | ||||
\(56\) | 4217.75i | 0.179726i | ||||||||
\(57\) | 171.529 | + | 4430.25i | 0.00699280 | + | 0.180610i | ||||
\(58\) | 55903.6 | − | 40616.3i | 2.18207 | − | 1.58537i | ||||
\(59\) | 24197.6 | − | 33305.1i | 0.904985 | − | 1.24561i | −0.0638654 | − | 0.997959i | \(-0.520343\pi\) |
0.968850 | − | 0.247647i | \(-0.0796572\pi\) | |||||||
\(60\) | 27662.5 | + | 35130.9i | 0.992002 | + | 1.25983i | ||||
\(61\) | 43532.0 | − | 14144.4i | 1.49790 | − | 0.486699i | 0.558498 | − | 0.829506i | \(-0.311378\pi\) |
0.939406 | + | 0.342807i | \(0.111378\pi\) | |||||||
\(62\) | −22407.4 | − | 16279.9i | −0.740308 | − | 0.537865i | ||||
\(63\) | −5669.55 | − | 1367.99i | −0.179969 | − | 0.0434243i | ||||
\(64\) | −16439.1 | + | 50594.3i | −0.501681 | + | 1.54402i | ||||
\(65\) | −19044.9 | −0.559108 | ||||||||
\(66\) | 55150.3 | + | 14725.0i | 1.55843 | + | 0.416097i | ||||
\(67\) | 2238.85 | 0.0609308 | 0.0304654 | − | 0.999536i | \(-0.490301\pi\) | ||||
0.0304654 | + | 0.999536i | \(0.490301\pi\) | |||||||
\(68\) | 23761.6 | − | 73130.6i | 0.623164 | − | 1.91790i | ||||
\(69\) | −37678.0 | + | 56319.4i | −0.952719 | + | 1.42408i | ||||
\(70\) | 9914.69 | + | 7203.44i | 0.241843 | + | 0.175709i | ||||
\(71\) | −8804.09 | + | 2860.62i | −0.207271 | + | 0.0673464i | −0.410812 | − | 0.911720i | \(-0.634755\pi\) |
0.203541 | + | 0.979066i | \(0.434755\pi\) | |||||||
\(72\) | 36384.7 | + | 22353.8i | 0.827156 | + | 0.508183i | ||||
\(73\) | 20981.1 | − | 28878.0i | 0.460809 | − | 0.634250i | −0.513867 | − | 0.857870i | \(-0.671788\pi\) |
0.974676 | + | 0.223620i | \(0.0717875\pi\) | |||||||
\(74\) | −92665.3 | + | 67325.3i | −1.96715 | + | 1.42922i | ||||
\(75\) | 101.066 | − | 3.91305i | 0.00207468 | − | 8.03271e-5i | ||||
\(76\) | − | 14578.8i | − | 0.289526i | ||||||
\(77\) | 9630.88 | − | 140.139i | 0.185114 | − | 0.00269359i | ||||
\(78\) | −45426.1 | + | 16729.1i | −0.845413 | + | 0.311340i | ||||
\(79\) | −35085.2 | − | 11399.9i | −0.632493 | − | 0.205509i | −0.0248139 | − | 0.999692i | \(-0.507899\pi\) |
−0.607679 | + | 0.794183i | \(0.707899\pi\) | |||||||
\(80\) | 1210.37 | + | 1665.93i | 0.0211443 | + | 0.0291026i | ||||
\(81\) | −41849.3 | + | 41658.4i | −0.708721 | + | 0.705489i | ||||
\(82\) | 26678.9 | + | 82109.1i | 0.438160 | + | 1.34852i | ||||
\(83\) | 2008.17 | + | 6180.50i | 0.0319966 | + | 0.0984756i | 0.965779 | − | 0.259365i | \(-0.0835132\pi\) |
−0.933783 | + | 0.357840i | \(0.883513\pi\) | |||||||
\(84\) | 18455.0 | + | 5216.24i | 0.285375 | + | 0.0806602i | ||||
\(85\) | −49341.9 | − | 67913.3i | −0.740745 | − | 1.01955i | ||||
\(86\) | 74341.8 | + | 24155.1i | 1.08389 | + | 0.352178i | ||||
\(87\) | −40796.1 | − | 110778.i | −0.577857 | − | 1.56911i | ||||
\(88\) | −67381.6 | − | 20814.7i | −0.927545 | − | 0.286526i | ||||
\(89\) | − | 4564.54i | − | 0.0610833i | −0.999533 | − | 0.0305416i | \(-0.990277\pi\) | ||
0.999533 | − | 0.0305416i | \(-0.00972322\pi\) | |||||||
\(90\) | 114688. | − | 47351.8i | 1.49249 | − | 0.616212i | ||||
\(91\) | −6608.32 | + | 4801.23i | −0.0836542 | + | 0.0607783i | ||||
\(92\) | 130968. | − | 180261.i | 1.61322 | − | 2.22041i | ||||
\(93\) | −37175.9 | + | 29272.7i | −0.445712 | + | 0.350958i | ||||
\(94\) | −116686. | + | 37913.7i | −1.36207 | + | 0.442565i | ||||
\(95\) | −12876.1 | − | 9355.01i | −0.146378 | − | 0.106349i | ||||
\(96\) | 77209.6 | + | 51653.6i | 0.855053 | + | 0.572035i | ||||
\(97\) | −25591.8 | + | 78763.4i | −0.276167 | + | 0.849954i | 0.712742 | + | 0.701427i | \(0.247453\pi\) |
−0.988908 | + | 0.148527i | \(0.952547\pi\) | |||||||
\(98\) | −148102. | −1.55774 | ||||||||
\(99\) | 49834.1 | − | 83824.0i | 0.511021 | − | 0.859568i | ||||
\(100\) | −332.581 | −0.00332581 | ||||||||
\(101\) | −15786.9 | + | 48587.1i | −0.153990 | + | 0.473934i | −0.998057 | − | 0.0623042i | \(-0.980155\pi\) |
0.844067 | + | 0.536238i | \(0.180155\pi\) | |||||||
\(102\) | −177346. | − | 118645.i | −1.68780 | − | 1.12915i | ||||
\(103\) | −12235.5 | − | 8889.61i | −0.113639 | − | 0.0825638i | 0.529514 | − | 0.848301i | \(-0.322374\pi\) |
−0.643153 | + | 0.765737i | \(0.722374\pi\) | |||||||
\(104\) | 56880.2 | − | 18481.5i | 0.515677 | − | 0.167554i | ||||
\(105\) | 16449.4 | − | 12952.4i | 0.145605 | − | 0.114651i | ||||
\(106\) | 73458.2 | − | 101107.i | 0.635003 | − | 0.874006i | ||||
\(107\) | 115616. | − | 84000.2i | 0.976248 | − | 0.709286i | 0.0193809 | − | 0.999812i | \(-0.493830\pi\) |
0.956867 | + | 0.290527i | \(0.0938305\pi\) | |||||||
\(108\) | 142809. | − | 131557.i | 1.17813 | − | 1.08532i | ||||
\(109\) | 92825.3i | 0.748342i | 0.927360 | + | 0.374171i | \(0.122073\pi\) | ||||
−0.927360 | + | 0.374171i | \(0.877927\pi\) | |||||||
\(110\) | −164009. | + | 122845.i | −1.29237 | + | 0.968001i | ||||
\(111\) | 67623.3 | + | 183624.i | 0.520942 | + | 1.41456i | ||||
\(112\) | 839.962 | + | 272.920i | 0.00632725 | + | 0.00205585i | ||||
\(113\) | −82095.3 | − | 112995.i | −0.604815 | − | 0.832456i | 0.391324 | − | 0.920253i | \(-0.372017\pi\) |
−0.996138 | + | 0.0877970i | \(0.972017\pi\) | |||||||
\(114\) | −38929.6 | − | 11003.3i | −0.280555 | − | 0.0792977i | ||||
\(115\) | −75167.9 | − | 231343.i | −0.530014 | − | 1.63122i | ||||
\(116\) | 119955. | + | 369184.i | 0.827702 | + | 2.54741i | ||||
\(117\) | 6394.39 | + | 82453.2i | 0.0431852 | + | 0.556856i | ||||
\(118\) | 220794. | + | 303897.i | 1.45976 | + | 2.00919i | ||||
\(119\) | −34241.9 | − | 11125.9i | −0.221662 | − | 0.0720223i | ||||
\(120\) | −143851. | + | 52976.0i | −0.911926 | + | 0.335835i | ||||
\(121\) | −45289.9 | + | 154552.i | −0.281214 | + | 0.959645i | ||||
\(122\) | 417655.i | 2.54050i | ||||||||
\(123\) | 147383. | − | 5706.33i | 0.878383 | − | 0.0340090i | ||||
\(124\) | 125877. | − | 91455.1i | 0.735178 | − | 0.534138i | ||||
\(125\) | 102575. | − | 141182.i | 0.587173 | − | 0.808175i | ||||
\(126\) | 27857.8 | − | 45343.3i | 0.156322 | − | 0.254441i | ||||
\(127\) | −89347.3 | + | 29030.7i | −0.491555 | + | 0.159716i | −0.544298 | − | 0.838892i | \(-0.683204\pi\) |
0.0527425 | + | 0.998608i | \(0.483204\pi\) | |||||||
\(128\) | −238432. | − | 173231.i | −1.28629 | − | 0.934546i | ||||
\(129\) | 74254.7 | − | 110993.i | 0.392871 | − | 0.587246i | ||||
\(130\) | 53700.3 | − | 165273.i | 0.278688 | − | 0.857714i | ||||
\(131\) | 78936.4 | 0.401883 | 0.200941 | − | 0.979603i | \(-0.435600\pi\) | ||||
0.200941 | + | 0.979603i | \(0.435600\pi\) | |||||||
\(132\) | −174409. | + | 269090.i | −0.871234 | + | 1.34420i | ||||
\(133\) | −6826.22 | −0.0334620 | ||||||||
\(134\) | −6312.80 | + | 19428.8i | −0.0303711 | + | 0.0934726i | ||||
\(135\) | −24554.1 | − | 210548.i | −0.115955 | − | 0.994299i | ||||
\(136\) | 213270. | + | 154950.i | 0.988743 | + | 0.718364i | ||||
\(137\) | 240576. | − | 78167.8i | 1.09509 | − | 0.355817i | 0.294880 | − | 0.955534i | \(-0.404720\pi\) |
0.800212 | + | 0.599718i | \(0.204720\pi\) | |||||||
\(138\) | −382503. | − | 485774.i | −1.70977 | − | 2.17138i | ||||
\(139\) | 164581. | − | 226526.i | 0.722507 | − | 0.994445i | −0.276930 | − | 0.960890i | \(-0.589317\pi\) |
0.999437 | − | 0.0335552i | \(-0.0106830\pi\) | |||||||
\(140\) | −55697.3 | + | 40466.4i | −0.240167 | + | 0.174492i | ||||
\(141\) | 8109.35 | + | 209448.i | 0.0343509 | + | 0.887214i | ||||
\(142\) | − | 84468.3i | − | 0.351538i | ||||||
\(143\) | −44090.8 | − | 129267.i | −0.180305 | − | 0.528625i | ||||
\(144\) | 6806.10 | − | 5799.52i | 0.0273522 | − | 0.0233070i | ||||
\(145\) | 403040. | + | 130956.i | 1.59194 | + | 0.517254i | ||||
\(146\) | 191445. | + | 263502.i | 0.743296 | + | 1.02306i | ||||
\(147\) | −68817.8 | + | 243477.i | −0.262668 | + | 0.929318i | ||||
\(148\) | −198837. | − | 611957.i | −0.746178 | − | 2.29650i | ||||
\(149\) | 65989.8 | + | 203096.i | 0.243507 | + | 0.749437i | 0.995878 | + | 0.0906982i | \(0.0289099\pi\) |
−0.752372 | + | 0.658739i | \(0.771090\pi\) | |||||||
\(150\) | −251.015 | + | 888.089i | −0.000910902 | + | 0.00322276i | ||||
\(151\) | −182823. | − | 251634.i | −0.652511 | − | 0.898105i | 0.346693 | − | 0.937979i | \(-0.387304\pi\) |
−0.999205 | + | 0.0398737i | \(0.987304\pi\) | |||||||
\(152\) | 47534.4 | + | 15444.9i | 0.166878 | + | 0.0542219i | ||||
\(153\) | −277458. | + | 236424.i | −0.958227 | + | 0.816511i | ||||
\(154\) | −25939.8 | + | 83972.4i | −0.0881382 | + | 0.285322i | ||||
\(155\) | − | 169861.i | − | 0.567890i | ||||||
\(156\) | −10521.1 | − | 271739.i | −0.0346139 | − | 0.894006i | ||||
\(157\) | −333242. | + | 242115.i | −1.07897 | + | 0.783920i | −0.977504 | − | 0.210918i | \(-0.932355\pi\) |
−0.101470 | + | 0.994839i | \(0.532355\pi\) | |||||||
\(158\) | 197857. | − | 272327.i | 0.630535 | − | 0.867856i | ||||
\(159\) | −132084. | − | 167745.i | −0.414341 | − | 0.526207i | ||||
\(160\) | −317153. | + | 103049.i | −0.979421 | + | 0.318233i | ||||
\(161\) | −84403.8 | − | 61323.0i | −0.256624 | − | 0.186448i | ||||
\(162\) | −243512. | − | 480633.i | −0.729010 | − | 1.43889i | ||||
\(163\) | −100275. | + | 308614.i | −0.295612 | + | 0.909801i | 0.687403 | + | 0.726277i | \(0.258751\pi\) |
−0.983015 | + | 0.183525i | \(0.941249\pi\) | |||||||
\(164\) | −484998. | −1.40809 | ||||||||
\(165\) | 125746. | + | 326711.i | 0.359570 | + | 0.934230i | ||||
\(166\) | −59297.1 | −0.167018 | ||||||||
\(167\) | −68030.5 | + | 209376.i | −0.188761 | + | 0.580947i | −0.999993 | − | 0.00377790i | \(-0.998797\pi\) |
0.811232 | + | 0.584725i | \(0.198797\pi\) | |||||||
\(168\) | −36559.0 | + | 54646.8i | −0.0999359 | + | 0.149380i | ||||
\(169\) | −206677. | − | 150160.i | −0.556641 | − | 0.404423i | ||||
\(170\) | 728483. | − | 236698.i | 1.93329 | − | 0.628164i | ||||
\(171\) | −36178.5 | + | 58886.8i | −0.0946151 | + | 0.154002i | ||||
\(172\) | −258107. | + | 355254.i | −0.665241 | + | 0.915626i | ||||
\(173\) | −617313. | + | 448504.i | −1.56816 | + | 1.13933i | −0.639265 | + | 0.768987i | \(0.720761\pi\) |
−0.928893 | + | 0.370347i | \(0.879239\pi\) | |||||||
\(174\) | 1.07637e6 | − | 41674.4i | 2.69517 | − | 0.104351i | ||||
\(175\) | 155.725i | 0.000384381i | ||||||||
\(176\) | −8505.34 | + | 12072.1i | −0.0206971 | + | 0.0293767i | ||||
\(177\) | 602197. | − | 221771.i | 1.44479 | − | 0.532074i | ||||
\(178\) | 39611.3 | + | 12870.5i | 0.0937065 | + | 0.0304471i | ||||
\(179\) | 46789.9 | + | 64400.7i | 0.109149 | + | 0.150231i | 0.860097 | − | 0.510131i | \(-0.170403\pi\) |
−0.750948 | + | 0.660361i | \(0.770403\pi\) | |||||||
\(180\) | 53894.2 | + | 694945.i | 0.123983 | + | 1.59871i | ||||
\(181\) | 148359. | + | 456602.i | 0.336602 | + | 1.03596i | 0.965927 | + | 0.258814i | \(0.0833315\pi\) |
−0.629325 | + | 0.777142i | \(0.716668\pi\) | |||||||
\(182\) | −23032.0 | − | 70885.2i | −0.0515411 | − | 0.158627i | ||||
\(183\) | 686619. | + | 194070.i | 1.51561 | + | 0.428382i | ||||
\(184\) | 448998. | + | 617993.i | 0.977687 | + | 1.34567i | ||||
\(185\) | −668075. | − | 217071.i | −1.43515 | − | 0.466307i | ||||
\(186\) | −149206. | − | 405154.i | −0.316231 | − | 0.858693i | ||||
\(187\) | 346729. | − | 492133.i | 0.725080 | − | 1.02915i | ||||
\(188\) | − | 689237.i | − | 1.42224i | ||||||
\(189\) | −61599.2 | − | 66867.3i | −0.125435 | − | 0.136163i | ||||
\(190\) | 117490. | − | 85361.1i | 0.236110 | − | 0.171544i | ||||
\(191\) | 287345. | − | 395496.i | 0.569927 | − | 0.784438i | −0.422619 | − | 0.906308i | \(-0.638889\pi\) |
0.992546 | + | 0.121870i | \(0.0388891\pi\) | |||||||
\(192\) | −651537. | + | 513027.i | −1.27552 | + | 1.00435i | ||||
\(193\) | −142925. | + | 46439.1i | −0.276194 | + | 0.0897409i | −0.443839 | − | 0.896107i | \(-0.646384\pi\) |
0.167645 | + | 0.985847i | \(0.446384\pi\) | |||||||
\(194\) | −611353. | − | 444174.i | −1.16624 | − | 0.847322i | ||||
\(195\) | −246753. | − | 165079.i | −0.464704 | − | 0.310889i | ||||
\(196\) | 257097. | − | 791263.i | 0.478032 | − | 1.47123i | ||||
\(197\) | 419078. | 0.769360 | 0.384680 | − | 0.923050i | \(-0.374312\pi\) | ||||
0.384680 | + | 0.923050i | \(0.374312\pi\) | |||||||
\(198\) | 586913. | + | 668819.i | 1.06392 | + | 1.21240i | ||||
\(199\) | −475363. | −0.850928 | −0.425464 | − | 0.904975i | \(-0.639889\pi\) | ||||
−0.425464 | + | 0.904975i | \(0.639889\pi\) | |||||||
\(200\) | 352.339 | − | 1084.39i | 0.000622853 | − | 0.00191694i | ||||
\(201\) | 29007.3 | + | 19406.1i | 0.0506428 | + | 0.0338803i | ||||
\(202\) | −377128. | − | 273999.i | −0.650294 | − | 0.472466i | ||||
\(203\) | 172863. | − | 56166.7i | 0.294417 | − | 0.0956618i | ||||
\(204\) | 941751. | − | 741545.i | 1.58439 | − | 1.24756i | ||||
\(205\) | −311217. | + | 428353.i | −0.517224 | + | 0.711897i | ||||
\(206\) | 111644. | − | 81114.5i | 0.183303 | − | 0.133177i | ||||
\(207\) | −976341. | + | 403107.i | −1.58371 | + | 0.653874i | ||||
\(208\) | − | 12523.5i | − | 0.0200710i | ||||||
\(209\) | 33687.6 | − | 109054.i | 0.0533463 | − | 0.172693i | ||||
\(210\) | 66019.8 | + | 179270.i | 0.103306 | + | 0.280517i | ||||
\(211\) | 929029. | + | 301860.i | 1.43656 | + | 0.466766i | 0.920822 | − | 0.389982i | \(-0.127519\pi\) |
0.515735 | + | 0.856748i | \(0.327519\pi\) | |||||||
\(212\) | 412663. | + | 567982.i | 0.630602 | + | 0.867950i | ||||
\(213\) | −138865. | − | 39249.6i | −0.209721 | − | 0.0592769i | ||||
\(214\) | 402958. | + | 1.24018e6i | 0.601486 | + | 1.85118i | ||||
\(215\) | 148139. | + | 455924.i | 0.218561 | + | 0.672661i | ||||
\(216\) | 277653. | + | 605003.i | 0.404919 | + | 0.882314i | ||||
\(217\) | −42822.0 | − | 58939.5i | −0.0617331 | − | 0.0849683i | ||||
\(218\) | −805542. | − | 261737.i | −1.14801 | − | 0.373012i | ||||
\(219\) | 522151. | − | 192293.i | 0.735674 | − | 0.270927i | ||||
\(220\) | −371613. | − | 1.08951e6i | −0.517647 | − | 1.51766i | ||||
\(221\) | 510535.i | 0.703145i | ||||||||
\(222\) | −1.78418e6 | + | 69079.2i | −2.42971 | + | 0.0940730i | ||||
\(223\) | 526712. | − | 382679.i | 0.709269 | − | 0.515314i | −0.173669 | − | 0.984804i | \(-0.555562\pi\) |
0.882938 | + | 0.469490i | \(0.155562\pi\) | |||||||
\(224\) | −84069.1 | + | 115711.i | −0.111948 | + | 0.154083i | ||||
\(225\) | 1343.37 | + | 825.330i | 0.00176904 | + | 0.00108685i | ||||
\(226\) | 1.21205e6 | − | 393820.i | 1.57852 | − | 0.512893i | ||||
\(227\) | 88901.1 | + | 64590.4i | 0.114510 | + | 0.0831962i | 0.643566 | − | 0.765390i | \(-0.277454\pi\) |
−0.529057 | + | 0.848587i | \(0.677454\pi\) | |||||||
\(228\) | 126367. | − | 188888.i | 0.160989 | − | 0.240640i | ||||
\(229\) | −156574. | + | 481884.i | −0.197301 | + | 0.607231i | 0.802641 | + | 0.596463i | \(0.203428\pi\) |
−0.999942 | + | 0.0107680i | \(0.996572\pi\) | |||||||
\(230\) | 2.21955e6 | 2.76660 | ||||||||
\(231\) | 125996. | + | 81663.7i | 0.155356 | + | 0.100693i | ||||
\(232\) | −1.33081e6 | −1.62329 | ||||||||
\(233\) | −65613.6 | + | 201938.i | −0.0791779 | + | 0.243685i | −0.982808 | − | 0.184628i | \(-0.940892\pi\) |
0.903630 | + | 0.428313i | \(0.140892\pi\) | |||||||
\(234\) | −733563. | − | 177000.i | −0.875786 | − | 0.211317i | ||||
\(235\) | −608739. | − | 442275.i | −0.719054 | − | 0.522423i | ||||
\(236\) | −2.00692e6 | + | 652087.i | −2.34558 | + | 0.762124i | ||||
\(237\) | −355764. | − | 451815.i | −0.411425 | − | 0.522504i | ||||
\(238\) | 193102. | − | 265782.i | 0.220975 | − | 0.304147i | ||||
\(239\) | 750547. | − | 545304.i | 0.849929 | − | 0.617510i | −0.0751971 | − | 0.997169i | \(-0.523959\pi\) |
0.925127 | + | 0.379659i | \(0.123959\pi\) | |||||||
\(240\) | 1241.90 | + | 32075.7i | 0.00139174 | + | 0.0359458i | ||||
\(241\) | − | 238904.i | − | 0.264961i | −0.991186 | − | 0.132480i | \(-0.957706\pi\) | ||
0.991186 | − | 0.132480i | \(-0.0422941\pi\) | |||||||
\(242\) | −1.21351e6 | − | 828813.i | −1.33200 | − | 0.909741i | ||||
\(243\) | −903305. | + | 176997.i | −0.981339 | + | 0.192287i | ||||
\(244\) | −2.23141e6 | − | 725029.i | −2.39941 | − | 0.779616i | ||||
\(245\) | −533873. | − | 734813.i | −0.568228 | − | 0.782099i | ||||
\(246\) | −366051. | + | 1.29509e6i | −0.385659 | + | 1.36446i | ||||
\(247\) | 29911.4 | + | 92057.7i | 0.0311956 | + | 0.0960103i | ||||
\(248\) | 164836. | + | 507313.i | 0.170186 | + | 0.523777i | ||||
\(249\) | −27553.3 | + | 97483.5i | −0.0281628 | + | 0.0996397i | ||||
\(250\) | 935960. | + | 1.28824e6i | 0.947125 | + | 1.30361i | ||||
\(251\) | 579288. | + | 188222.i | 0.580377 | + | 0.188576i | 0.584469 | − | 0.811416i | \(-0.301303\pi\) |
−0.00409257 | + | 0.999992i | \(0.501303\pi\) | |||||||
\(252\) | 193896. | + | 227550.i | 0.192339 | + | 0.225722i | ||||
\(253\) | 1.39621e6 | − | 1.04578e6i | 1.37136 | − | 1.02716i | ||||
\(254\) | − | 857217.i | − | 0.833694i | ||||||
\(255\) | −50627.3 | − | 1.30760e6i | −0.0487567 | − | 1.25929i | ||||
\(256\) | 798389. | − | 580063.i | 0.761403 | − | 0.553191i | ||||
\(257\) | 554448. | − | 763132.i | 0.523634 | − | 0.720721i | −0.462509 | − | 0.886614i | \(-0.653051\pi\) |
0.986144 | + | 0.165894i | \(0.0530509\pi\) | |||||||
\(258\) | 753826. | + | 957349.i | 0.705053 | + | 0.895408i | ||||
\(259\) | −286537. | + | 93101.4i | −0.265418 | + | 0.0862396i | ||||
\(260\) | 789782. | + | 573810.i | 0.724559 | + | 0.526423i | ||||
\(261\) | 431638. | − | 1.78889e6i | 0.392210 | − | 1.62549i | ||||
\(262\) | −222575. | + | 685014.i | −0.200319 | + | 0.616519i | ||||
\(263\) | −378307. | −0.337252 | −0.168626 | − | 0.985680i | \(-0.553933\pi\) | ||||
−0.168626 | + | 0.985680i | \(0.553933\pi\) | |||||||
\(264\) | −692602. | − | 853740.i | −0.611609 | − | 0.753904i | ||||
\(265\) | 766445. | 0.670450 | ||||||||
\(266\) | 19247.7 | − | 59238.3i | 0.0166792 | − | 0.0513332i | ||||
\(267\) | 39565.0 | − | 59140.0i | 0.0339651 | − | 0.0507695i | ||||
\(268\) | −92843.7 | − | 67454.9i | −0.0789615 | − | 0.0573689i | ||||
\(269\) | −1.70238e6 | + | 553138.i | −1.43442 | + | 0.466072i | −0.920153 | − | 0.391558i | \(-0.871936\pi\) |
−0.514268 | + | 0.857630i | \(0.671936\pi\) | |||||||
\(270\) | 1.89638e6 | + | 380595.i | 1.58313 | + | 0.317727i | ||||
\(271\) | 730950. | − | 1.00607e6i | 0.604595 | − | 0.832154i | −0.391524 | − | 0.920168i | \(-0.628052\pi\) |
0.996119 | + | 0.0880139i | \(0.0280520\pi\) | |||||||
\(272\) | 44658.4 | − | 32446.2i | 0.0366000 | − | 0.0265914i | ||||
\(273\) | −127236. | + | 4926.31i | −0.103325 | + | 0.00400051i | ||||
\(274\) | 2.30813e6i | 1.85731i | ||||||||
\(275\) | −2487.81 | − | 768.506i | −0.00198375 | − | 0.000612795i | ||||
\(276\) | 3.25935e6 | − | 1.20032e6i | 2.57548 | − | 0.948474i | ||||
\(277\) | −594283. | − | 193094.i | −0.465365 | − | 0.151206i | 0.0669432 | − | 0.997757i | \(-0.478675\pi\) |
−0.532309 | + | 0.846550i | \(0.678675\pi\) | |||||||
\(278\) | 1.50174e6 | + | 2.06697e6i | 1.16542 | + | 1.60406i | ||||
\(279\) | −735398. | + | 57031.4i | −0.565603 | + | 0.0438635i | ||||
\(280\) | −72935.5 | − | 224472.i | −0.0555960 | − | 0.171107i | ||||
\(281\) | −638.379 | − | 1964.73i | −0.000482295 | − | 0.00148435i | 0.950815 | − | 0.309759i | \(-0.100248\pi\) |
−0.951297 | + | 0.308275i | \(0.900248\pi\) | |||||||
\(282\) | −1.84046e6 | − | 520200.i | −1.37818 | − | 0.389536i | ||||
\(283\) | −32468.7 | − | 44689.3i | −0.0240990 | − | 0.0331694i | 0.796798 | − | 0.604246i | \(-0.206526\pi\) |
−0.820896 | + | 0.571077i | \(0.806526\pi\) | |||||||
\(284\) | 451289. | + | 146633.i | 0.332016 | + | 0.107879i | ||||
\(285\) | −85739.0 | − | 232815.i | −0.0625268 | − | 0.169785i | ||||
\(286\) | 1.24611e6 | − | 18132.1i | 0.900824 | − | 0.0131079i | ||||
\(287\) | 227091.i | 0.162740i | ||||||||
\(288\) | 552628. | + | 1.33849e6i | 0.392602 | + | 0.950897i | ||||
\(289\) | −671856. | + | 488132.i | −0.473186 | + | 0.343790i | ||||
\(290\) | −2.27288e6 | + | 3.12835e6i | −1.58701 | + | 2.18434i | ||||
\(291\) | −1.01429e6 | + | 798662.i | −0.702149 | + | 0.552880i | ||||
\(292\) | −1.74015e6 | + | 565409.i | −1.19434 | + | 0.388066i | ||||
\(293\) | 1.85154e6 | + | 1.34522e6i | 1.25998 | + | 0.915428i | 0.998757 | − | 0.0498505i | \(-0.0158745\pi\) |
0.261222 | + | 0.965279i | \(0.415874\pi\) | |||||||
\(294\) | −1.91886e6 | − | 1.28373e6i | −1.29472 | − | 0.866173i | ||||
\(295\) | −711886. | + | 2.19096e6i | −0.476272 | + | 1.46582i | ||||
\(296\) | 2.20595e6 | 1.46341 | ||||||||
\(297\) | 1.37225e6 | − | 654099.i | 0.902695 | − | 0.430281i | ||||
\(298\) | −1.94854e6 | −1.27107 | ||||||||
\(299\) | −457152. | + | 1.40697e6i | −0.295721 | + | 0.910136i | ||||
\(300\) | −4309.05 | − | 2882.78i | −0.00276426 | − | 0.00184930i | ||||
\(301\) | 166341. | + | 120854.i | 0.105824 | + | 0.0768853i | ||||
\(302\) | 2.69919e6 | − | 877021.i | 1.70301 | − | 0.553341i | ||||
\(303\) | −625689. | + | 492674.i | −0.391518 | + | 0.308285i | ||||
\(304\) | 6151.66 | − | 8467.04i | 0.00381776 | − | 0.00525469i | ||||
\(305\) | −2.07222e6 | + | 1.50555e6i | −1.27552 | + | 0.926716i | ||||
\(306\) | −1.26936e6 | − | 3.07443e6i | −0.774961 | − | 1.87699i | ||||
\(307\) | − | 2.28597e6i | − | 1.38428i | −0.721762 | − | 0.692142i | \(-0.756667\pi\) | ||
0.721762 | − | 0.692142i | \(-0.243333\pi\) | |||||||
\(308\) | −403610. | − | 284360.i | −0.242429 | − | 0.170802i | ||||
\(309\) | −81473.6 | − | 221233.i | −0.0485423 | − | 0.131812i | ||||
\(310\) | 1.47406e6 | + | 478952.i | 0.871187 | + | 0.283066i | ||||
\(311\) | 48412.4 | + | 66634.0i | 0.0283829 | + | 0.0390656i | 0.822973 | − | 0.568081i | \(-0.192314\pi\) |
−0.794590 | + | 0.607147i | \(0.792314\pi\) | |||||||
\(312\) | 897157. | + | 253578.i | 0.521773 | + | 0.147477i | ||||
\(313\) | −743857. | − | 2.28936e6i | −0.429169 | − | 1.32085i | −0.898945 | − | 0.438062i | \(-0.855665\pi\) |
0.469776 | − | 0.882786i | \(-0.344335\pi\) | |||||||
\(314\) | −1.16145e6 | − | 3.57457e6i | −0.664777 | − | 2.04597i | ||||
\(315\) | 325394. | − | 25234.9i | 0.184771 | − | 0.0143293i | ||||
\(316\) | 1.11149e6 | + | 1.52984e6i | 0.626165 | + | 0.861842i | ||||
\(317\) | 465887. | + | 151376.i | 0.260395 | + | 0.0846074i | 0.436305 | − | 0.899799i | \(-0.356287\pi\) |
−0.175910 | + | 0.984406i | \(0.556287\pi\) | |||||||
\(318\) | 1.82813e6 | − | 673247.i | 1.01377 | − | 0.373342i | ||||
\(319\) | 44217.5 | + | 3.03880e6i | 0.0243286 | + | 1.67196i | ||||
\(320\) | − | 2.97694e6i | − | 1.62516i | ||||||
\(321\) | 2.22607e6 | − | 86188.6i | 1.20581 | − | 0.0466861i | ||||
\(322\) | 770155. | − | 559550.i | 0.413941 | − | 0.300746i | ||||
\(323\) | −250779. | + | 345167.i | −0.133747 | + | 0.184087i | ||||
\(324\) | 2.99061e6 | − | 466660.i | 1.58269 | − | 0.246967i | ||||
\(325\) | 2100.09 | − | 682.359i | 0.00110288 | − | 0.000358348i | ||||
\(326\) | −2.39543e6 | − | 1.74038e6i | −1.24836 | − | 0.906984i | ||||
\(327\) | −804599. | + | 1.20268e6i | −0.416112 | + | 0.621986i | ||||
\(328\) | 513810. | − | 1.58134e6i | 0.263705 | − | 0.811600i | ||||
\(329\) | −322722. | −0.164376 | ||||||||
\(330\) | −3.18977e6 | + | 170011.i | −1.61241 | + | 0.0859394i | ||||
\(331\) | 1.26625e6 | 0.635257 | 0.317628 | − | 0.948215i | \(-0.397114\pi\) | ||||
0.317628 | + | 0.948215i | \(0.397114\pi\) | |||||||
\(332\) | 102937. | − | 316807.i | 0.0512537 | − | 0.157743i | ||||
\(333\) | −715480. | + | 2.96526e6i | −0.353580 | + | 1.46538i | ||||
\(334\) | −1.62515e6 | − | 1.18074e6i | −0.797129 | − | 0.579148i | ||||
\(335\) | −119153. | + | 38715.2i | −0.0580088 | + | 0.0188482i | ||||
\(336\) | 8517.23 | + | 10816.8i | 0.00411576 | + | 0.00522696i | ||||
\(337\) | −784954. | + | 1.08040e6i | −0.376504 | + | 0.518213i | −0.954654 | − | 0.297717i | \(-0.903775\pi\) |
0.578150 | + | 0.815930i | \(0.303775\pi\) | |||||||
\(338\) | 1.88585e6 | − | 1.37015e6i | 0.897875 | − | 0.652345i | ||||
\(339\) | −84234.1 | − | 2.17559e6i | −0.0398097 | − | 1.02820i | ||||
\(340\) | 4.30297e6i | 2.01869i | ||||||||
\(341\) | 1.15293e6 | − | 393245.i | 0.536928 | − | 0.183137i | ||||
\(342\) | −409011. | − | 480000.i | −0.189090 | − | 0.221910i | ||||
\(343\) | −754136. | − | 245034.i | −0.346110 | − | 0.112458i | ||||
\(344\) | −884872. | − | 1.21792e6i | −0.403166 | − | 0.554911i | ||||
\(345\) | 1.03135e6 | − | 3.64891e6i | 0.466508 | − | 1.65050i | ||||
\(346\) | −2.15152e6 | − | 6.62170e6i | −0.966174 | − | 2.97358i | ||||
\(347\) | −1.31920e6 | − | 4.06008e6i | −0.588149 | − | 1.81014i | −0.586239 | − | 0.810138i | \(-0.699392\pi\) |
−0.00190977 | − | 0.999998i | \(-0.500608\pi\) | |||||||
\(348\) | −1.64586e6 | + | 5.82305e6i | −0.728527 | + | 2.57752i | ||||
\(349\) | −360605. | − | 496330.i | −0.158478 | − | 0.218126i | 0.722393 | − | 0.691483i | \(-0.243042\pi\) |
−0.880871 | + | 0.473357i | \(0.843042\pi\) | |||||||
\(350\) | −1351.39 | − | 439.092i | −0.000589670 | − | 0.000191596i | ||||
\(351\) | −631847. | + | 1.12372e6i | −0.273744 | + | 0.486845i | ||||
\(352\) | −1.43369e6 | − | 1.91410e6i | −0.616733 | − | 0.823396i | ||||
\(353\) | 2.69449e6i | 1.15091i | 0.817835 | + | 0.575453i | \(0.195174\pi\) | ||||
−0.817835 | + | 0.575453i | \(0.804826\pi\) | |||||||
\(354\) | 226546. | + | 5.85122e6i | 0.0960834 | + | 2.48164i | ||||
\(355\) | 419094. | − | 304489.i | 0.176498 | − | 0.128233i | ||||
\(356\) | −137527. | + | 189289.i | −0.0575125 | + | 0.0791591i | ||||
\(357\) | −347214. | − | 440956.i | −0.144187 | − | 0.183115i | ||||
\(358\) | −690805. | + | 224456.i | −0.284871 | + | 0.0925601i | ||||
\(359\) | 1.69085e6 | + | 1.22847e6i | 0.692417 | + | 0.503071i | 0.877454 | − | 0.479661i | \(-0.159240\pi\) |
−0.185037 | + | 0.982732i | \(0.559240\pi\) | |||||||
\(360\) | −2.32298e6 | − | 560506.i | −0.944688 | − | 0.227942i | ||||
\(361\) | 740160. | − | 2.27798e6i | 0.298922 | − | 0.919987i | ||||
\(362\) | −4.38074e6 | −1.75702 | ||||||||
\(363\) | −1.92643e6 | + | 1.60986e6i | −0.767338 | + | 0.641243i | ||||
\(364\) | 418701. | 0.165635 | ||||||||
\(365\) | −617259. | + | 1.89973e6i | −0.242513 | + | 0.746379i | ||||
\(366\) | −3.62019e6 | + | 5.41130e6i | −1.41263 | + | 2.11154i | ||||
\(367\) | 3.45119e6 | + | 2.50744e6i | 1.33753 | + | 0.971774i | 0.999531 | + | 0.0306280i | \(0.00975071\pi\) |
0.338001 | + | 0.941146i | \(0.390249\pi\) | |||||||
\(368\) | 152126. | − | 49428.8i | 0.0585578 | − | 0.0190266i | ||||
\(369\) | 1.95901e6 | + | 1.20356e6i | 0.748981 | + | 0.460154i | ||||
\(370\) | 3.76750e6 | − | 5.18552e6i | 1.43070 | − | 1.96919i | ||||
\(371\) | 265946. | − | 193221.i | 0.100313 | − | 0.0728819i | ||||
\(372\) | 2.42363e6 | − | 93837.6i | 0.908050 | − | 0.0351576i | ||||
\(373\) | 2.09404e6i | 0.779316i | 0.920960 | + | 0.389658i | \(0.127407\pi\) | ||||
−0.920960 | + | 0.389658i | \(0.872593\pi\) | |||||||
\(374\) | 3.29309e6 | + | 4.39658e6i | 1.21738 | + | 1.62531i | ||||
\(375\) | 2.55275e6 | − | 940103.i | 0.937412 | − | 0.345221i | ||||
\(376\) | 2.24727e6 | + | 730183.i | 0.819758 | + | 0.266356i | ||||
\(377\) | −1.51492e6 | − | 2.08510e6i | −0.548953 | − | 0.755569i | ||||
\(378\) | 753967. | − | 346017.i | 0.271408 | − | 0.124557i | ||||
\(379\) | 213658. | + | 657572.i | 0.0764049 | + | 0.235150i | 0.981963 | − | 0.189071i | \(-0.0605478\pi\) |
−0.905558 | + | 0.424222i | \(0.860548\pi\) | |||||||
\(380\) | 252103. | + | 775895.i | 0.0895612 | + | 0.275641i | ||||
\(381\) | −1.40925e6 | − | 398320.i | −0.497366 | − | 0.140579i | ||||
\(382\) | 2.62192e6 | + | 3.60876e6i | 0.919306 | + | 1.26532i | ||||
\(383\) | −1.58703e6 | − | 515657.i | −0.552825 | − | 0.179624i | 0.0192653 | − | 0.999814i | \(-0.493867\pi\) |
−0.572090 | + | 0.820191i | \(0.693867\pi\) | |||||||
\(384\) | −1.58767e6 | − | 4.31115e6i | −0.549454 | − | 1.49199i | ||||
\(385\) | −510140. | + | 174000.i | −0.175403 | + | 0.0598271i | ||||
\(386\) | − | 1.37125e6i | − | 0.468435i | ||||||
\(387\) | 1.92414e6 | − | 794431.i | 0.653071 | − | 0.269637i | ||||
\(388\) | 3.43437e6 | − | 2.49521e6i | 1.15816 | − | 0.841450i | ||||
\(389\) | 395860. | − | 544854.i | 0.132638 | − | 0.182560i | −0.737532 | − | 0.675312i | \(-0.764009\pi\) |
0.870170 | + | 0.492752i | \(0.164009\pi\) | |||||||
\(390\) | 2.12833e6 | − | 1.67587e6i | 0.708560 | − | 0.557928i | ||||
\(391\) | −6.20158e6 | + | 2.01502e6i | −2.05145 | + | 0.666556i | ||||
\(392\) | 2.30756e6 | + | 1.67654e6i | 0.758468 | + | 0.551060i | ||||
\(393\) | 1.02273e6 | + | 684212.i | 0.334025 | + | 0.223465i | ||||
\(394\) | −1.18166e6 | + | 3.63678e6i | −0.383489 | + | 1.18026i | ||||
\(395\) | 2.06439e6 | 0.665733 | ||||||||
\(396\) | −4.59215e6 | + | 1.97467e6i | −1.47156 | + | 0.632785i | ||||
\(397\) | 1.53971e6 | 0.490301 | 0.245150 | − | 0.969485i | \(-0.421163\pi\) | ||||
0.245150 | + | 0.969485i | \(0.421163\pi\) | |||||||
\(398\) | 1.34037e6 | − | 4.12522e6i | 0.424147 | − | 1.30539i | ||||
\(399\) | −88443.1 | − | 59168.9i | −0.0278120 | − | 0.0186064i | ||||
\(400\) | −193.156 | − | 140.336i | −6.03613e−5 | − | 4.38550e-5i | ||||
\(401\) | −1.23476e6 | + | 401199.i | −0.383462 | + | 0.124594i | −0.494404 | − | 0.869232i | \(-0.664613\pi\) |
0.110941 | + | 0.993827i | \(0.464613\pi\) | |||||||
\(402\) | −250198. | + | 197008.i | −0.0772180 | + | 0.0608022i | ||||
\(403\) | −607212. | + | 835756.i | −0.186242 | + | 0.256340i | ||||
\(404\) | 2.11857e6 | − | 1.53923e6i | 0.645788 | − | 0.469192i | ||||
\(405\) | 1.50688e6 | − | 2.94077e6i | 0.456499 | − | 0.890890i | ||||
\(406\) | 1.65849e6i | 0.499341i | ||||||||
\(407\) | −73294.5 | − | 5.03709e6i | −0.0219324 | − | 1.50728i | ||||
\(408\) | 1.42012e6 | + | 3.85620e6i | 0.422353 | + | 1.14686i | ||||
\(409\) | −370646. | − | 120430.i | −0.109560 | − | 0.0355981i | 0.253724 | − | 0.967277i | \(-0.418344\pi\) |
−0.363284 | + | 0.931679i | \(0.618344\pi\) | |||||||
\(410\) | −2.83974e6 | − | 3.90857e6i | −0.834294 | − | 1.14831i | ||||
\(411\) | 3.79454e6 | + | 1.07251e6i | 1.10804 | + | 0.313183i | ||||
\(412\) | 239561. | + | 737294.i | 0.0695303 | + | 0.213992i | ||||
\(413\) | 305327. | + | 939700.i | 0.0880826 | + | 0.271090i | ||||
\(414\) | −745223. | − | 9.60936e6i | −0.213690 | − | 2.75546i | ||||
\(415\) | −213753. | − | 294205.i | −0.0609244 | − | 0.0838552i | ||||
\(416\) | 1.92885e6 | + | 626720.i | 0.546467 | + | 0.177558i | ||||
\(417\) | 4.09587e6 | − | 1.50839e6i | 1.15347 | − | 0.424789i | ||||
\(418\) | 851386. | + | 599839.i | 0.238334 | + | 0.167917i | ||||
\(419\) | 4.68106e6i | 1.30259i | 0.758823 | + | 0.651297i | \(0.225775\pi\) | ||||
−0.758823 | + | 0.651297i | \(0.774225\pi\) | |||||||
\(420\) | −1.07239e6 | + | 41520.7i | −0.296641 | + | 0.0114853i | ||||
\(421\) | 2.04422e6 | − | 1.48521e6i | 0.562110 | − | 0.408397i | −0.270120 | − | 0.962827i | \(-0.587063\pi\) |
0.832231 | + | 0.554429i | \(0.187063\pi\) | |||||||
\(422\) | −5.23911e6 | + | 7.21101e6i | −1.43211 | + | 1.97113i | ||||
\(423\) | −1.71040e6 | + | 2.78398e6i | −0.464780 | + | 0.756510i | ||||
\(424\) | −2.28909e6 | + | 743771.i | −0.618370 | + | 0.200921i | ||||
\(425\) | 7874.20 | + | 5720.94i | 0.00211463 | + | 0.00153637i | ||||
\(426\) | 732162. | − | 1.09440e6i | 0.195471 | − | 0.292182i | ||||
\(427\) | −339480. | + | 1.04481e6i | −0.0901042 | + | 0.277312i | ||||
\(428\) | −7.32542e6 | −1.93296 | ||||||||
\(429\) | 549214. | − | 2.05701e6i | 0.144078 | − | 0.539625i | ||||
\(430\) | −4.37423e6 | −1.14086 | ||||||||
\(431\) | 1.74469e6 | − | 5.36960e6i | 0.452402 | − | 1.39235i | −0.421756 | − | 0.906710i | \(-0.638586\pi\) |
0.874158 | − | 0.485642i | \(-0.161414\pi\) | |||||||
\(432\) | 138452. | − | 16146.2i | 0.0356936 | − | 0.00416257i | ||||
\(433\) | −4.27162e6 | − | 3.10351e6i | −1.09490 | − | 0.795489i | −0.114677 | − | 0.993403i | \(-0.536583\pi\) |
−0.980219 | + | 0.197914i | \(0.936583\pi\) | |||||||
\(434\) | 632223. | − | 205422.i | 0.161119 | − | 0.0523507i | ||||
\(435\) | 4.08683e6 | + | 5.19021e6i | 1.03553 | + | 1.31511i | ||||
\(436\) | 2.79676e6 | − | 3.84941e6i | 0.704595 | − | 0.969791i | ||||
\(437\) | −1.00019e6 | + | 726681.i | −0.250541 | + | 0.182029i | ||||
\(438\) | 196433. | + | 5.07345e6i | 0.0489247 | + | 1.26362i | ||||
\(439\) | 579243.i | 0.143450i | 0.997424 | + | 0.0717248i | \(0.0228503\pi\) | ||||
−0.997424 | + | 0.0717248i | \(0.977150\pi\) | |||||||
\(440\) | 3.94605e6 | − | 57418.8i | 0.971696 | − | 0.0141391i | ||||
\(441\) | −3.00206e6 | + | 2.55807e6i | −0.735060 | + | 0.626349i | ||||
\(442\) | −4.43045e6 | − | 1.43954e6i | −1.07868 | − | 0.350484i | ||||
\(443\) | −1.29735e6 | − | 1.78565e6i | −0.314085 | − | 0.432302i | 0.622564 | − | 0.782569i | \(-0.286091\pi\) |
−0.936650 | + | 0.350267i | \(0.886091\pi\) | |||||||
\(444\) | 2.72817e6 | − | 9.65224e6i | 0.656771 | − | 2.32365i | ||||
\(445\) | 78932.4 | + | 242929.i | 0.0188954 | + | 0.0581539i | ||||
\(446\) | 1.83575e6 | + | 5.64986e6i | 0.436995 | + | 1.34493i | ||||
\(447\) | −905423. | + | 3.20338e6i | −0.214330 | + | 0.758297i | ||||
\(448\) | −750488. | − | 1.03296e6i | −0.176664 | − | 0.243158i | ||||
\(449\) | 6.51034e6 | + | 2.11534e6i | 1.52401 | + | 0.495181i | 0.946912 | − | 0.321493i | \(-0.104185\pi\) |
0.577099 | + | 0.816674i | \(0.304185\pi\) | |||||||
\(450\) | −10950.1 | + | 9330.65i | −0.00254910 | + | 0.00217210i | ||||
\(451\) | −3.62793e6 | − | 1.12070e6i | −0.839882 | − | 0.259446i | ||||
\(452\) | 7.15930e6i | 1.64826i | ||||||||
\(453\) | −187586. | − | 4.84495e6i | −0.0429491 | − | 1.10929i | ||||
\(454\) | −811190. | + | 589364.i | −0.184707 | + | 0.134197i | ||||
\(455\) | 268675. | − | 369800.i | 0.0608414 | − | 0.0837410i | ||||
\(456\) | 481999. | + | 612132.i | 0.108551 | + | 0.137858i | ||||
\(457\) | 2.11495e6 | − | 687188.i | 0.473706 | − | 0.153917i | −0.0624275 | − | 0.998050i | \(-0.519884\pi\) |
0.536134 | + | 0.844133i | \(0.319884\pi\) | |||||||
\(458\) | −3.74033e6 | − | 2.71751e6i | −0.833193 | − | 0.605350i | ||||
\(459\) | −5.64414e6 | + | 658218.i | −1.25045 | + | 0.145827i | ||||
\(460\) | −3.85303e6 | + | 1.18584e7i | −0.849001 | + | 2.61296i | ||||
\(461\) | −4.71411e6 | −1.03311 | −0.516557 | − | 0.856253i | \(-0.672786\pi\) | ||||
−0.516557 | + | 0.856253i | \(0.672786\pi\) | |||||||
\(462\) | −1.06395e6 | + | 863135.i | −0.231908 | + | 0.188137i | ||||
\(463\) | −4.84139e6 | −1.04959 | −0.524793 | − | 0.851230i | \(-0.675857\pi\) | ||||
−0.524793 | + | 0.851230i | \(0.675857\pi\) | |||||||
\(464\) | −86113.6 | + | 265030.i | −0.0185685 | + | 0.0571480i | ||||
\(465\) | 1.47234e6 | − | 2.20078e6i | 0.315773 | − | 0.472003i | ||||
\(466\) | −1.56742e6 | − | 1.13880e6i | −0.334365 | − | 0.242930i | ||||
\(467\) | 1.46286e6 | − | 475311.i | 0.310391 | − | 0.100852i | −0.149679 | − | 0.988735i | \(-0.547824\pi\) |
0.460070 | + | 0.887882i | \(0.347824\pi\) | |||||||
\(468\) | 2.21909e6 | − | 3.61195e6i | 0.468339 | − | 0.762302i | ||||
\(469\) | −31584.4 | + | 43472.2i | −0.00663042 | + | 0.00912599i | ||||
\(470\) | 5.55452e6 | − | 4.03560e6i | 1.15985 | − | 0.842681i | ||||
\(471\) | −6.41623e6 | + | 248422.i | −1.33269 | + | 0.0515986i | ||||
\(472\) | − | 7.23442e6i | − | 1.49468i | ||||||
\(473\) | −2.75162e6 | + | 2.06100e6i | −0.565504 | + | 0.423569i | ||||
\(474\) | 4.92401e6 | − | 1.81337e6i | 1.00664 | − | 0.370715i | ||||
\(475\) | 1755.03 | + | 570.243i | 0.000356903 | + | 0.000115965i | ||||
\(476\) | 1.08478e6 | + | 1.49307e6i | 0.219444 | + | 0.302039i | ||||
\(477\) | −257337. | − | 3.31826e6i | −0.0517852 | − | 0.667750i | ||||
\(478\) | 2.61588e6 | + | 8.05086e6i | 0.523659 | + | 1.61166i | ||||
\(479\) | 822748. | + | 2.53216e6i | 0.163843 | + | 0.504257i | 0.998949 | − | 0.0458317i | \(-0.0145938\pi\) |
−0.835106 | + | 0.550089i | \(0.814594\pi\) | |||||||
\(480\) | −5.00238e6 | − | 1.41390e6i | −0.991000 | − | 0.280102i | ||||
\(481\) | 2.51111e6 | + | 3.45625e6i | 0.494884 | + | 0.681149i | ||||
\(482\) | 2.07322e6 | + | 673631.i | 0.406470 | + | 0.132070i | ||||
\(483\) | −562027. | − | 1.52613e6i | −0.109620 | − | 0.297662i | ||||
\(484\) | 6.53469e6 | − | 5.04463e6i | 1.26798 | − | 0.978849i | ||||
\(485\) | − | 4.63440e6i | − | 0.894622i | ||||||
\(486\) | 1.01104e6 | − | 8.33800e6i | 0.194167 | − | 1.60129i | ||||
\(487\) | 1.99995e6 | − | 1.45305e6i | 0.382118 | − | 0.277625i | −0.380100 | − | 0.924945i | \(-0.624110\pi\) |
0.762218 | + | 0.647320i | \(0.224110\pi\) | |||||||
\(488\) | 4.72794e6 | − | 6.50745e6i | 0.898716 | − | 1.23698i | ||||
\(489\) | −3.97423e6 | + | 3.12935e6i | −0.751590 | + | 0.591809i | ||||
\(490\) | 7.88209e6 | − | 2.56105e6i | 1.48303 | − | 0.481867i | ||||
\(491\) | 8.38797e6 | + | 6.09421e6i | 1.57019 | + | 1.14081i | 0.926972 | + | 0.375131i | \(0.122402\pi\) |
0.643221 | + | 0.765680i | \(0.277598\pi\) | |||||||
\(492\) | −6.28381e6 | − | 4.20391e6i | −1.17034 | − | 0.782961i | ||||
\(493\) | 3.51051e6 | − | 1.08042e7i | 0.650509 | − | 2.00206i | ||||
\(494\) | −883222. | −0.162837 | ||||||||
\(495\) | −1.20268e6 | + | 5.32294e6i | −0.220617 | + | 0.976424i | ||||
\(496\) | 111697. | 0.0203863 | ||||||||
\(497\) | 68657.9 | − | 211307.i | 0.0124681 | − | 0.0383728i | ||||
\(498\) | −768275. | − | 513980.i | −0.138817 | − | 0.0928695i | ||||
\(499\) | 4.08787e6 | + | 2.97001e6i | 0.734929 | + | 0.533957i | 0.891119 | − | 0.453770i | \(-0.149921\pi\) |
−0.156190 | + | 0.987727i | \(0.549921\pi\) | |||||||
\(500\) | −8.50746e6 | + | 2.76424e6i | −1.52186 | + | 0.494482i | ||||
\(501\) | −2.69628e6 | + | 2.12308e6i | −0.479922 | + | 0.377895i | ||||
\(502\) | −3.26680e6 | + | 4.49636e6i | −0.578580 | + | 0.796347i | ||||
\(503\) | −2.03741e6 | + | 1.48027e6i | −0.359053 | + | 0.260867i | −0.752657 | − | 0.658413i | \(-0.771228\pi\) |
0.393604 | + | 0.919280i | \(0.371228\pi\) | |||||||
\(504\) | −947345. | + | 391135.i | −0.166124 | + | 0.0685884i | ||||
\(505\) | − | 2.85884e6i | − | 0.498841i | ||||||
\(506\) | 5.13848e6 | + | 1.50652e7i | 0.892192 | + | 2.61576i | ||||
\(507\) | −1.37622e6 | − | 3.73698e6i | −0.237776 | − | 0.645655i | ||||
\(508\) | 4.57986e6 | + | 1.48809e6i | 0.787396 | + | 0.255840i | ||||
\(509\) | −4.74818e6 | − | 6.53531e6i | −0.812330 | − | 1.11808i | −0.990960 | − | 0.134160i | \(-0.957166\pi\) |
0.178629 | − | 0.983916i | \(-0.442834\pi\) | |||||||
\(510\) | 1.14902e7 | + | 3.24765e6i | 1.95615 | + | 0.552897i | ||||
\(511\) | 264742. | + | 814791.i | 0.0448508 | + | 0.138036i | ||||
\(512\) | −131708. | − | 405356.i | −0.0222043 | − | 0.0683379i | ||||
\(513\) | −979167. | + | 449368.i | −0.164272 | + | 0.0753891i | ||||
\(514\) | 5.05914e6 | + | 6.96331e6i | 0.844634 | + | 1.16254i | ||||
\(515\) | 804907. | + | 261530.i | 0.133730 | + | 0.0434514i | ||||
\(516\) | −6.42344e6 | + | 2.36556e6i | −1.06205 | + | 0.391120i | ||||
\(517\) | 1.59264e6 | − | 5.15571e6i | 0.262055 | − | 0.848325i | ||||
\(518\) | − | 2.74909e6i | − | 0.450158i | ||||||
\(519\) | −1.18857e7 | + | 460188.i | −1.93690 | + | 0.0749924i | ||||
\(520\) | −2.70762e6 | + | 1.96720e6i | −0.439116 | + | 0.319036i | ||||
\(521\) | −942849. | + | 1.29772e6i | −0.152177 | + | 0.209453i | −0.878298 | − | 0.478113i | \(-0.841321\pi\) |
0.726122 | + | 0.687566i | \(0.241321\pi\) | |||||||
\(522\) | 1.43070e7 | + | 8.78987e6i | 2.29812 | + | 1.41191i | ||||
\(523\) | 1.00363e7 | − | 3.26098e6i | 1.60442 | − | 0.521308i | 0.636225 | − | 0.771504i | \(-0.280495\pi\) |
0.968195 | + | 0.250196i | \(0.0804950\pi\) | |||||||
\(524\) | −3.27345e6 | − | 2.37830e6i | −0.520808 | − | 0.378389i | ||||
\(525\) | −1349.80 | + | 2017.63i | −0.000213733 | + | 0.000319479i | ||||
\(526\) | 1.06670e6 | − | 3.28297e6i | 0.168104 | − | 0.517371i | ||||
\(527\) | −4.55345e6 | −0.714190 | ||||||||
\(528\) | −214838. | + | 82687.8i | −0.0335372 | + | 0.0129079i | ||||
\(529\) | −1.24587e7 | −1.93569 | ||||||||
\(530\) | −2.16112e6 | + | 6.65125e6i | −0.334187 | + | 1.02852i | ||||
\(531\) | 9.72458e6 | + | 2.34643e6i | 1.49670 | + | 0.361136i | ||||
\(532\) | 283080. | + | 205670.i | 0.0433640 | + | 0.0315058i | ||||
\(533\) | 3.06252e6 | − | 995073.i | 0.466940 | − | 0.151718i | ||||
\(534\) | 401659. | + | 510102.i | 0.0609544 | + | 0.0774112i | ||||
\(535\) | −4.70063e6 | + | 6.46986e6i | −0.710021 | + | 0.977261i | ||||
\(536\) | 318297. | − | 231257.i | 0.0478543 | − | 0.0347682i | ||||
\(537\) | 48008.8 | + | 1.23997e6i | 0.00718431 | + | 0.185556i | ||||
\(538\) | − | 1.63330e7i | − | 2.43283i | ||||||
\(539\) | 3.75156e6 | − | 5.32482e6i | 0.556212 | − | 0.789465i | ||||
\(540\) | −5.32543e6 | + | 9.47112e6i | −0.785906 | + | 1.39771i | ||||
\(541\) | 3.94948e6 | + | 1.28326e6i | 0.580158 | + | 0.188505i | 0.584371 | − | 0.811486i | \(-0.301341\pi\) |
−0.00421320 | + | 0.999991i | \(0.501341\pi\) | |||||||
\(542\) | 6.66966e6 | + | 9.18000e6i | 0.975227 | + | 1.34228i | ||||
\(543\) | −2.03558e6 | + | 7.20187e6i | −0.296271 | + | 1.04820i | ||||
\(544\) | 2.76243e6 | + | 8.50190e6i | 0.400216 | + | 1.23174i | ||||
\(545\) | −1.60518e6 | − | 4.94024e6i | −0.231490 | − | 0.712454i | ||||
\(546\) | 316014. | − | 1.11805e6i | 0.0453654 | − | 0.160502i | ||||
\(547\) | −1.95335e6 | − | 2.68856e6i | −0.279134 | − | 0.384194i | 0.646313 | − | 0.763072i | \(-0.276310\pi\) |
−0.925447 | + | 0.378878i | \(0.876310\pi\) | |||||||
\(548\) | −1.23317e7 | − | 4.00681e6i | −1.75417 | − | 0.569963i | ||||
\(549\) | 7.21392e6 | + | 8.46599e6i | 1.02150 | + | 1.19880i | ||||
\(550\) | 13683.9 | − | 19422.4i | 0.00192888 | − | 0.00273777i | ||||
\(551\) | − | 2.15385e6i | − | 0.302230i | ||||||
\(552\) | 460695. | + | 1.18988e7i | 0.0643526 | + | 1.66209i | ||||
\(553\) | 716316. | − | 520434.i | 0.0996075 | − | 0.0723691i | ||||
\(554\) | 3.35136e6 | − | 4.61276e6i | 0.463924 | − | 0.638537i | ||||
\(555\) | −6.77429e6 | − | 8.60326e6i | −0.933537 | − | 1.18558i | ||||
\(556\) | −1.36501e7 | + | 4.43520e6i | −1.87262 | + | 0.608452i | ||||
\(557\) | 2.44526e6 | + | 1.77659e6i | 0.333954 | + | 0.242632i | 0.742107 | − | 0.670282i | \(-0.233827\pi\) |
−0.408152 | + | 0.912914i | \(0.633827\pi\) | |||||||
\(558\) | 1.57866e6 | − | 6.54263e6i | 0.214636 | − | 0.889543i | ||||
\(559\) | 900942. | − | 2.77281e6i | 0.121946 | − | 0.375311i | ||||
\(560\) | −49423.0 | −0.00665976 | ||||||||
\(561\) | 8.75810e6 | − | 3.37085e6i | 1.17491 | − | 0.452202i | ||||
\(562\) | 18850.0 | 0.00251751 | ||||||||
\(563\) | 4.10093e6 | − | 1.26214e7i | 0.545270 | − | 1.67817i | −0.175077 | − | 0.984555i | \(-0.556017\pi\) |
0.720347 | − | 0.693614i | \(-0.243983\pi\) | |||||||
\(564\) | 5.97423e6 | − | 8.93002e6i | 0.790832 | − | 1.18210i | ||||
\(565\) | 6.32314e6 | + | 4.59403e6i | 0.833320 | + | 0.605442i | ||||
\(566\) | 479367. | − | 155756.i | 0.0628966 | − | 0.0204363i | ||||
\(567\) | −218504. | − | 1.40029e6i | −0.0285432 | − | 0.182920i | ||||
\(568\) | −956198. | + | 1.31609e6i | −0.124359 | + | 0.171165i | ||||
\(569\) | −8.85568e6 | + | 6.43403e6i | −1.14668 | + | 0.833110i | −0.988036 | − | 0.154226i | \(-0.950711\pi\) |
−0.158642 | + | 0.987336i | \(0.550711\pi\) | |||||||
\(570\) | 2.26214e6 | − | 87584.9i | 0.291630 | − | 0.0112913i | ||||
\(571\) | 3.15547e6i | 0.405017i | 0.979280 | + | 0.202509i | \(0.0649094\pi\) | ||||
−0.979280 | + | 0.202509i | \(0.935091\pi\) | |||||||
\(572\) | −2.06630e6 | + | 6.68906e6i | −0.264061 | + | 0.854820i | ||||
\(573\) | 7.15106e6 | − | 2.63352e6i | 0.909879 | − | 0.335082i | ||||
\(574\) | −1.97070e6 | − | 640320.i | −0.249656 | − | 0.0811180i | ||||
\(575\) | 16577.5 | + | 22817.0i | 0.00209098 | + | 0.00287799i | ||||
\(576\) | −1.28884e7 | + | 999519.i | −1.61861 | + | 0.125526i | ||||
\(577\) | 2.00362e6 | + | 6.16650e6i | 0.250539 | + | 0.771080i | 0.994676 | + | 0.103053i | \(0.0328611\pi\) |
−0.744137 | + | 0.668027i | \(0.767139\pi\) | |||||||
\(578\) | −2.34162e6 | − | 7.20677e6i | −0.291539 | − | 0.897266i | ||||
\(579\) | −2.25432e6 | − | 637174.i | −0.279459 | − | 0.0789881i | ||||
\(580\) | −1.27682e7 | − | 1.75740e7i | −1.57602 | − | 2.16920i | ||||
\(581\) | −148338. | − | 48198.1i | −0.0182311 | − | 0.00592365i | ||||
\(582\) | −4.07087e6 | − | 1.10540e7i | −0.498172 | − | 1.35274i | ||||
\(583\) | 1.77439e6 | + | 5.20223e6i | 0.216211 | + | 0.633896i | ||||
\(584\) | − | 6.27279e6i | − | 0.761077i | ||||||
\(585\) | −1.76614e6 | − | 4.27766e6i | −0.213371 | − | 0.516792i | ||||
\(586\) | −1.68946e7 | + | 1.22747e7i | −2.03238 | + | 1.47661i | ||||
\(587\) | 4.56743e6 | − | 6.28653e6i | 0.547113 | − | 0.753036i | −0.442504 | − | 0.896767i | \(-0.645910\pi\) |
0.989617 | + | 0.143730i | \(0.0459097\pi\) | |||||||
\(588\) | 1.01896e7 | − | 8.02342e6i | 1.21539 | − | 0.957009i | ||||
\(589\) | −821060. | + | 266779.i | −0.0975185 | + | 0.0316857i | ||||
\(590\) | −1.70060e7 | − | 1.23556e7i | −2.01128 | − | 1.46128i | ||||
\(591\) | 5.42974e6 | + | 3.63252e6i | 0.639455 | + | 0.427799i | ||||
\(592\) | 142741. | − | 439312.i | 0.0167396 | − | 0.0515192i | ||||
\(593\) | −881524. | −0.102943 | −0.0514716 | − | 0.998674i | \(-0.516391\pi\) | ||||
−0.0514716 | + | 0.998674i | \(0.516391\pi\) | |||||||
\(594\) | 1.80703e6 | + | 1.37528e7i | 0.210135 | + | 1.59928i | ||||
\(595\) | 2.01478e6 | 0.233311 | ||||||||
\(596\) | 3.38258e6 | − | 1.04105e7i | 0.390061 | − | 1.20048i | ||||
\(597\) | −6.15898e6 | − | 4.12039e6i | −0.707250 | − | 0.473155i | ||||
\(598\) | −1.09207e7 | − | 7.93437e6i | −1.24882 | − | 0.907318i | ||||
\(599\) | 1.00761e7 | − | 3.27392e6i | 1.14743 | − | 0.372822i | 0.327254 | − | 0.944936i | \(-0.393877\pi\) |
0.820174 | + | 0.572114i | \(0.193877\pi\) | |||||||
\(600\) | 13964.4 | − | 10995.7i | 0.00158359 | − | 0.00124694i | ||||
\(601\) | −2.91652e6 | + | 4.01424e6i | −0.329366 | + | 0.453333i | −0.941298 | − | 0.337577i | \(-0.890393\pi\) |
0.611932 | + | 0.790910i | \(0.290393\pi\) | |||||||
\(602\) | −1.51780e6 | + | 1.10275e6i | −0.170696 | + | 0.124018i | ||||
\(603\) | 207620. | + | 502865.i | 0.0232529 | + | 0.0563194i | ||||
\(604\) | 1.59435e7i | 1.77824i | ||||||||
\(605\) | −262222. | − | 9.00855e6i | −0.0291260 | − | 1.00061i | ||||
\(606\) | −2.51121e6 | − | 6.81894e6i | −0.277781 | − | 0.754285i | ||||
\(607\) | −856259. | − | 278216.i | −0.0943265 | − | 0.0306485i | 0.261474 | − | 0.965211i | \(-0.415792\pi\) |
−0.355800 | + | 0.934562i | \(0.615792\pi\) | |||||||
\(608\) | 996223. | + | 1.37118e6i | 0.109294 | + | 0.150431i | ||||
\(609\) | 2.72653e6 | + | 770643.i | 0.297897 | + | 0.0841995i | ||||
\(610\) | −7.22231e6 | − | 2.22280e7i | −0.785871 | − | 2.41866i | ||||
\(611\) | 1.41411e6 | + | 4.35219e6i | 0.153243 | + | 0.471634i | ||||
\(612\) | 1.86293e7 | − | 1.44474e6i | 2.01057 | − | 0.155923i | ||||
\(613\) | 7.96322e6 | + | 1.09604e7i | 0.855929 | + | 1.17808i | 0.982525 | + | 0.186131i | \(0.0595947\pi\) |
−0.126596 | + | 0.991954i | \(0.540405\pi\) | |||||||
\(614\) | 1.98378e7 | + | 6.44569e6i | 2.12360 | + | 0.689999i | ||||
\(615\) | −7.74516e6 | + | 2.85231e6i | −0.825739 | + | 0.304095i | ||||
\(616\) | 1.35475e6 | − | 1.01472e6i | 0.143849 | − | 0.107745i | ||||
\(617\) | 9.33490e6i | 0.987181i | 0.869694 | + | 0.493590i | \(0.164316\pi\) | ||||
−0.869694 | + | 0.493590i | \(0.835684\pi\) | |||||||
\(618\) | 2.14960e6 | − | 83227.6i | 0.226405 | − | 0.00876590i | ||||
\(619\) | 9.73044e6 | − | 7.06958e6i | 1.02072 | − | 0.741595i | 0.0542882 | − | 0.998525i | \(-0.482711\pi\) |
0.966430 | + | 0.256930i | \(0.0827110\pi\) | |||||||
\(620\) | −5.11780e6 | + | 7.04405e6i | −0.534692 | + | 0.735941i | ||||
\(621\) | −1.61439e7 | − | 3.24001e6i | −1.67989 | − | 0.337145i | ||||
\(622\) | −714760. | + | 232240.i | −0.0740772 | + | 0.0240691i | ||||
\(623\) | 88630.9 | + | 64394.1i | 0.00914882 | + | 0.00664701i | ||||
\(624\) | 108553. | − | 162260.i | 0.0111604 | − | 0.0166820i | ||||
\(625\) | −3.02400e6 | + | 9.30690e6i | −0.309657 | + | 0.953027i | ||||
\(626\) | 2.19646e7 | 2.24020 | ||||||||
\(627\) | 1.38174e6 | − | 1.12094e6i | 0.140364 | − | 0.113871i | ||||
\(628\) | 2.11141e7 | 2.13636 | ||||||||
\(629\) | −5.81900e6 | + | 1.79090e7i | −0.586437 | + | 1.80487i | ||||
\(630\) | −698514. | + | 2.89494e6i | −0.0701171 | + | 0.290595i | ||||
\(631\) | −968375. | − | 703566.i | −0.0968212 | − | 0.0703447i | 0.538321 | − | 0.842740i | \(-0.319059\pi\) |
−0.635143 | + | 0.772395i | \(0.719059\pi\) | |||||||
\(632\) | −6.16559e6 | + | 2.00332e6i | −0.614019 | + | 0.199507i | ||||
\(633\) | 9.42036e6 | + | 1.19637e7i | 0.934455 | + | 1.18674i | ||||
\(634\) | −2.62729e6 | + | 3.61616e6i | −0.259589 | + | 0.357293i | ||||
\(635\) | 4.25313e6 | − | 3.09008e6i | 0.418576 | − | 0.304113i | ||||
\(636\) | 423413. | + | 1.09359e7i | 0.0415070 | + | 1.07204i | ||||
\(637\) | 5.52392e6i | 0.539385i | ||||||||
\(638\) | −2.64955e7 | − | 8.18468e6i | −2.57704 | − | 0.796068i | ||||
\(639\) | −1.45897e6 | − | 1.71219e6i | −0.141350 | − | 0.165883i | ||||
\(640\) | 1.56852e7 | + | 5.09641e6i | 1.51370 | + | 0.491830i | ||||
\(641\) | 6.11846e6 | + | 8.42134e6i | 0.588163 | + | 0.809536i | 0.994561 | − | 0.104160i | \(-0.0332154\pi\) |
−0.406398 | + | 0.913696i | \(0.633215\pi\) | |||||||
\(642\) | −5.52884e6 | + | 1.95610e7i | −0.529416 | + | 1.87307i | ||||
\(643\) | −3.10815e6 | − | 9.56589e6i | −0.296466 | − | 0.912427i | −0.982725 | − | 0.185071i | \(-0.940749\pi\) |
0.686260 | − | 0.727357i | \(-0.259251\pi\) | |||||||
\(644\) | 1.65256e6 | + | 5.08606e6i | 0.157016 | + | 0.483245i | ||||
\(645\) | −2.03256e6 | + | 7.19117e6i | −0.192373 | + | 0.680613i | ||||
\(646\) | −2.28827e6 | − | 3.14953e6i | −0.215737 | − | 0.296937i | ||||
\(647\) | −4.92500e6 | − | 1.60023e6i | −0.462536 | − | 0.150287i | 0.0684733 | − | 0.997653i | \(-0.478187\pi\) |
−0.531010 | + | 0.847366i | \(0.678187\pi\) | |||||||
\(648\) | −1.64671e6 | + | 1.02453e7i | −0.154057 | + | 0.958490i | ||||
\(649\) | −1.65192e7 | + | 240370.i | −1.53949 | + | 0.0224011i | ||||
\(650\) | 20148.7i | 0.00187052i | ||||||||
\(651\) | −43937.6 | − | 1.13482e6i | −0.00406335 | − | 0.104948i | ||||
\(652\) | 1.34567e7 | − | 9.77684e6i | 1.23971 | − | 0.900699i | ||||
\(653\) | −1.65998e6 | + | 2.28476e6i | −0.152342 | + | 0.209680i | −0.878366 | − | 0.477989i | \(-0.841366\pi\) |
0.726024 | + | 0.687669i | \(0.241366\pi\) | |||||||
\(654\) | −8.16821e6 | − | 1.03735e7i | −0.746762 | − | 0.948378i | ||||
\(655\) | −4.20106e6 | + | 1.36501e6i | −0.382610 | + | 0.124317i | ||||
\(656\) | −281676. | − | 204650.i | −0.0255559 | − | 0.0185674i | ||||
\(657\) | 8.43195e6 | + | 2.03453e6i | 0.762105 | + | 0.183887i | ||||
\(658\) | 909969. | − | 2.80060e6i | 0.0819335 | − | 0.252165i | ||||
\(659\) | −4.36667e6 | −0.391685 | −0.195842 | − | 0.980635i | \(-0.562744\pi\) | ||||
−0.195842 | + | 0.980635i | \(0.562744\pi\) | |||||||
\(660\) | 4.62897e6 | − | 1.73372e7i | 0.413642 | − | 1.54924i | ||||
\(661\) | −6.18315e6 | −0.550435 | −0.275218 | − | 0.961382i | \(-0.588750\pi\) | ||||
−0.275218 | + | 0.961382i | \(0.588750\pi\) | |||||||
\(662\) | −3.57041e6 | + | 1.09886e7i | −0.316645 | + | 0.974533i | ||||
\(663\) | −4.42526e6 | + | 6.61468e6i | −0.390980 | + | 0.584420i | ||||
\(664\) | 923902. | + | 671254.i | 0.0813216 | + | 0.0590836i | ||||
\(665\) | 363297. | − | 118042.i | 0.0318572 | − | 0.0103510i | ||||
\(666\) | −2.37152e7 | − | 1.45700e7i | −2.07177 | − | 1.27284i | ||||
\(667\) | 1.93490e7 | − | 2.66317e7i | 1.68401 | − | 2.31784i | ||||
\(668\) | 9.12955e6 | − | 6.63301e6i | 0.791605 | − | 0.575135i | ||||
\(669\) | 1.01413e7 | − | 392648.i | 0.876048 | − | 0.0339186i | ||||
\(670\) | − | 1.14318e6i | − | 0.0983849i | ||||||
\(671\) | −1.50163e7 | − | 1.05796e7i | −1.28753 | − | 0.907119i | ||||
\(672\) | −2.09220e6 | + | 770496.i | −0.178723 | + | 0.0658184i | ||||
\(673\) | 1.12533e7 | + | 3.65641e6i | 0.957725 | + | 0.311184i | 0.745851 | − | 0.666113i | \(-0.232043\pi\) |
0.211875 | + | 0.977297i | \(0.432043\pi\) | |||||||
\(674\) | −7.16243e6 | − | 9.85824e6i | −0.607310 | − | 0.835891i | ||||
\(675\) | 10251.3 | + | 22337.4i | 0.000866003 | + | 0.00188701i | ||||
\(676\) | 4.04657e6 | + | 1.24541e7i | 0.340581 | + | 1.04820i | ||||
\(677\) | −2.22597e6 | − | 6.85082e6i | −0.186658 | − | 0.574475i | 0.813315 | − | 0.581824i | \(-0.197661\pi\) |
−0.999973 | + | 0.00734920i | \(0.997661\pi\) | |||||||
\(678\) | 1.91174e7 | + | 5.40347e6i | 1.59718 | + | 0.451438i | ||||
\(679\) | −1.16833e6 | − | 1.60807e6i | −0.0972507 | − | 0.133854i | ||||
\(680\) | −1.40299e7 | − | 4.55859e6i | −1.16354 | − | 0.378058i | ||||
\(681\) | 591973. | + | 1.60744e6i | 0.0489141 | + | 0.132821i | ||||
\(682\) | 161719. | + | 1.11140e7i | 0.0133138 | + | 0.914974i | ||||
\(683\) | 1.43408e7i | 1.17631i | 0.808748 | + | 0.588155i | \(0.200146\pi\) | ||||
−0.808748 | + | 0.588155i | \(0.799854\pi\) | |||||||
\(684\) | 3.27452e6 | − | 1.35197e6i | 0.267613 | − | 0.110491i | ||||
\(685\) | −1.14519e7 | + | 8.32031e6i | −0.932507 | + | 0.677506i | ||||
\(686\) | 4.25283e6 | − | 5.85351e6i | 0.345038 | − | 0.474905i | ||||
\(687\) | −6.20554e6 | + | 4.88631e6i | −0.501635 | + | 0.394993i | ||||
\(688\) | −299806. | + | 97412.9i | −0.0241473 | + | 0.00784595i | ||||
\(689\) | −3.77109e6 | − | 2.73986e6i | −0.302635 | − | 0.219877i | ||||
\(690\) | 2.87574e7 | + | 1.92388e7i | 2.29946 | + | 1.53835i | ||||
\(691\) | 4.96449e6 | − | 1.52791e7i | 0.395530 | − | 1.21732i | −0.533017 | − | 0.846104i | \(-0.678942\pi\) |
0.928548 | − | 0.371213i | \(-0.121058\pi\) | |||||||
\(692\) | 3.91127e7 | 3.10494 | ||||||||
\(693\) | 924600. | + | 2.15018e6i | 0.0731342 | + | 0.170076i | ||||
\(694\) | 3.89533e7 | 3.07005 | ||||||||
\(695\) | −4.84192e6 | + | 1.49019e7i | −0.380238 | + | 1.17025i | ||||
\(696\) | −1.72425e7 | − | 1.15353e7i | −1.34920 | − | 0.902625i | ||||
\(697\) | 1.14828e7 | + | 8.34276e6i | 0.895296 | + | 0.650470i | ||||
\(698\) | 5.32396e6 | − | 1.72986e6i | 0.413615 | − | 0.134392i | ||||
\(699\) | −2.60049e6 | + | 2.04765e6i | −0.201309 | + | 0.158512i | ||||
\(700\) | 4691.88 | − | 6457.82i | 0.000361911 | − | 0.000498128i | ||||
\(701\) | −5.44570e6 | + | 3.95653e6i | −0.418561 | + | 0.304102i | −0.777059 | − | 0.629428i | \(-0.783289\pi\) |
0.358498 | + | 0.933531i | \(0.383289\pi\) | |||||||
\(702\) | −7.97011e6 | − | 8.65172e6i | −0.610410 | − | 0.662613i | ||||
\(703\) | 3.57021e6i | 0.272462i | ||||||||
\(704\) | 2.02059e7 | − | 6.89191e6i | 1.53655 | − | 0.524092i | ||||
\(705\) | −4.05346e6 | − | 1.10068e7i | −0.307152 | − | 0.834040i | ||||
\(706\) | −2.33829e7 | − | 7.59757e6i | −1.76558 | − | 0.573671i | ||||
\(707\) | −720715. | − | 991980.i | −0.0542270 | − | 0.0746370i | ||||
\(708\) | −3.16546e7 | − | 8.94706e6i | −2.37331 | − | 0.670806i | ||||
\(709\) | −4.72223e6 | − | 1.45335e7i | −0.352802 | − | 1.08581i | −0.957273 | − | 0.289186i | \(-0.906615\pi\) |
0.604471 | − | 0.796627i | \(-0.293385\pi\) | |||||||
\(710\) | 1.46067e6 | + | 4.49547e6i | 0.108744 | + | 0.334680i | ||||
\(711\) | −693127. | − | 8.93761e6i | −0.0514208 | − | 0.663052i | ||||
\(712\) | −471484. | − | 648942.i | −0.0348552 | − | 0.0479740i | ||||
\(713\) | −1.25487e7 | − | 4.07732e6i | −0.924433 | − | 0.300366i | ||||
\(714\) | 4.80567e6 | − | 1.76979e6i | 0.352783 | − | 0.129920i | ||||
\(715\) | 4.58190e6 | + | 6.11725e6i | 0.335182 | + | 0.447498i | ||||
\(716\) | − | 4.08041e6i | − | 0.297455i | ||||||
\(717\) | 1.44510e7 | − | 559510.i | 1.04978 | − | 0.0406453i | ||||
\(718\) | −1.54284e7 | + | 1.12094e7i | −1.11689 | + | 0.811465i | ||||
\(719\) | 4.31233e6 | − | 5.93542e6i | 0.311093 | − | 0.428183i | −0.624629 | − | 0.780922i | \(-0.714750\pi\) |
0.935722 | + | 0.352739i | \(0.114750\pi\) | |||||||
\(720\) | −261938. | + | 426350.i | −0.0188308 | + | 0.0306503i | ||||
\(721\) | 345223. | − | 112170.i | 0.0247322 | − | 0.00803597i | ||||
\(722\) | 1.76814e7 | + | 1.28463e7i | 1.26233 | + | 0.917138i | ||||
\(723\) | 2.07080e6 | − | 3.09533e6i | 0.147330 | − | 0.220223i | ||||
\(724\) | 7.60474e6 | − | 2.34050e7i | 0.539185 | − | 1.65944i | ||||
\(725\) | −49135.3 | −0.00347175 | ||||||||
\(726\) | −8.53858e6 | − | 2.12569e7i | −0.601235 | − | 1.49678i | ||||
\(727\) | −7.01576e6 | −0.492310 | −0.246155 | − | 0.969230i | \(-0.579167\pi\) | ||||
−0.246155 | + | 0.969230i | \(0.579167\pi\) | |||||||
\(728\) | −443575. | + | 1.36518e6i | −0.0310198 | + | 0.0954691i | ||||
\(729\) | −1.32378e7 | − | 5.53651e6i | −0.922562 | − | 0.385849i | ||||
\(730\) | −1.47455e7 | − | 1.07132e7i | −1.02412 | − | 0.744068i | ||||
\(731\) | 1.22219e7 | − | 3.97114e6i | 0.845952 | − | 0.274866i | ||||
\(732\) | −2.26265e7 | − | 2.87354e7i | −1.56077 | − | 1.98216i | ||||
\(733\) | −1.33135e7 | + | 1.83245e7i | −0.915235 | + | 1.25971i | 0.0501127 | + | 0.998744i | \(0.484042\pi\) |
−0.965347 | + | 0.260969i | \(0.915958\pi\) | |||||||
\(734\) | −3.14909e7 | + | 2.28795e7i | −2.15747 | + | 1.56749i | ||||
\(735\) | −547781. | − | 1.41481e7i | −0.0374015 | − | 0.966004i | ||||
\(736\) | 2.59037e7i | 1.76266i | ||||||||
\(737\) | −538630. | − | 719121.i | −0.0365277 | − | 0.0487678i | ||||
\(738\) | −1.59683e7 | + | 1.36067e7i | −1.07924 | + | 0.919629i | ||||
\(739\) | −2.75815e7 | − | 8.96177e6i | −1.85783 | − | 0.603647i | −0.995205 | − | 0.0978080i | \(-0.968817\pi\) |
−0.862628 | − | 0.505839i | \(-0.831183\pi\) | |||||||
\(740\) | 2.11645e7 | + | 2.91305e7i | 1.42079 | + | 1.95555i | ||||
\(741\) | −410403. | + | 1.45200e6i | −0.0274578 | + | 0.0971453i | ||||
\(742\) | 926903. | + | 2.85271e6i | 0.0618051 | + | 0.190217i | ||||
\(743\) | 4.94285e6 | + | 1.52125e7i | 0.328477 | + | 1.01095i | 0.969846 | + | 0.243717i | \(0.0783667\pi\) |
−0.641369 | + | 0.767232i | \(0.721633\pi\) | |||||||
\(744\) | −2.26165e6 | + | 8.00171e6i | −0.149794 | + | 0.529969i | ||||
\(745\) | −7.02407e6 | − | 9.66780e6i | −0.463658 | − | 0.638171i | ||||
\(746\) | −1.81722e7 | − | 5.90451e6i | −1.19553 | − | 0.388452i | ||||
\(747\) | −1.20197e6 | + | 1.02420e6i | −0.0788118 | + | 0.0671560i | ||||
\(748\) | −2.92063e7 | + | 9.96178e6i | −1.90863 | + | 0.651003i | ||||
\(749\) | 3.42998e6i | 0.223402i | ||||||||
\(750\) | 960343. | + | 2.48037e7i | 0.0623409 | + | 1.61014i | ||||
\(751\) | −8.68288e6 | + | 6.30848e6i | −0.561777 | + | 0.408155i | −0.832109 | − | 0.554612i | \(-0.812867\pi\) |
0.270332 | + | 0.962767i | \(0.412867\pi\) | |||||||
\(752\) | 290831. | − | 400294.i | 0.0187541 | − | 0.0258128i | ||||
\(753\) | 5.87398e6 | + | 7.45988e6i | 0.377525 | + | 0.479451i | ||||
\(754\) | 2.23662e7 | − | 7.26721e6i | 1.43273 | − | 0.465521i | ||||
\(755\) | 1.40814e7 | + | 1.02307e7i | 0.899037 | + | 0.653188i | ||||
\(756\) | 539820. | + | 4.62889e6i | 0.0343514 | + | 0.294559i | ||||
\(757\) | −4.36431e6 | + | 1.34320e7i | −0.276806 | + | 0.851921i | 0.711930 | + | 0.702250i | \(0.247821\pi\) |
−0.988736 | + | 0.149671i | \(0.952179\pi\) | |||||||
\(758\) | −6.30889e6 | −0.398822 | ||||||||
\(759\) | 2.71546e7 | − | 1.44731e6i | 1.71096 | − | 0.0911918i | ||||
\(760\) | −2.79690e6 | −0.175648 | ||||||||
\(761\) | 153717. | − | 473093.i | 0.00962191 | − | 0.0296132i | −0.946130 | − | 0.323786i | \(-0.895044\pi\) |
0.955752 | + | 0.294173i | \(0.0950442\pi\) | |||||||
\(762\) | 7.43027e6 | − | 1.11064e7i | 0.463572 | − | 0.692926i | ||||
\(763\) | −1.80241e6 | − | 1.30953e6i | −0.112084 | − | 0.0814336i | ||||
\(764\) | −2.38320e7 | + | 7.74350e6i | −1.47716 | + | 0.479959i | ||||
\(765\) | 1.06782e7 | − | 1.73806e7i | 0.659696 | − | 1.07377i | ||||
\(766\) | 8.94979e6 | − | 1.23183e7i | 0.551113 | − | 0.758542i | ||||
\(767\) | 1.13348e7 | − | 8.23522e6i | 0.695706 | − | 0.505460i | ||||
\(768\) | 1.53721e7 | − | 595175.i | 0.940441 | − | 0.0364118i | ||||
\(769\) | − | 2.59824e7i | − | 1.58440i | −0.610264 | − | 0.792198i | \(-0.708937\pi\) | ||
0.610264 | − | 0.792198i | \(-0.291063\pi\) | |||||||
\(770\) | −71556.5 | − | 4.91764e6i | −0.00434933 | − | 0.298903i | ||||
\(771\) | 1.37984e7 | − | 5.08153e6i | 0.835973 | − | 0.307864i | ||||
\(772\) | 7.32620e6 | + | 2.38043e6i | 0.442421 | + | 0.143751i | ||||
\(773\) | 1.01390e7 | + | 1.39551e7i | 0.610304 | + | 0.840011i | 0.996602 | − | 0.0823627i | \(-0.0262466\pi\) |
−0.386299 | + | 0.922374i | \(0.626247\pi\) | |||||||
\(774\) | 1.46866e6 | + | 1.89379e7i | 0.0881191 | + | 1.13626i | ||||
\(775\) | 6085.94 | + | 18730.6i | 0.000363977 | + | 0.00112021i | ||||
\(776\) | 4.49730e6 | + | 1.38413e7i | 0.268100 | + | 0.825128i | ||||
\(777\) | −4.51947e6 | − | 1.27741e6i | −0.268556 | − | 0.0759064i | ||||
\(778\) | 3.61208e6 | + | 4.97160e6i | 0.213948 | + | 0.294474i | ||||
\(779\) | 2.55933e6 | + | 831576.i | 0.151106 | + | 0.0490974i | ||||
\(780\) | 5.25899e6 | + | 1.42802e7i | 0.309504 | + | 0.840425i | ||||
\(781\) | 3.03696e6 | + | 2.13967e6i | 0.178160 | + | 0.125522i | ||||
\(782\) | − | 5.94993e7i | − | 3.47933i | ||||||
\(783\) | 2.10984e7 | − | 1.94362e7i | 1.22983 | − | 1.13294i | ||||
\(784\) | 483198. | − | 351064.i | 0.0280760 | − | 0.0203984i | ||||
\(785\) | 1.35487e7 | − | 1.86481e7i | 0.784734 | − | 1.08009i | ||||
\(786\) | −8.82139e6 | + | 6.94605e6i | −0.509308 | + | 0.401034i | ||||
\(787\) | 2.86204e6 | − | 929933.i | 0.164717 | − | 0.0535199i | −0.225498 | − | 0.974244i | \(-0.572401\pi\) |
0.390215 | + | 0.920724i | \(0.372401\pi\) | |||||||
\(788\) | −1.73789e7 | − | 1.26265e7i | −0.997029 | − | 0.724384i | ||||
\(789\) | −4.90149e6 | − | 3.27912e6i | −0.280308 | − | 0.187528i | ||||
\(790\) | −5.82091e6 | + | 1.79149e7i | −0.331836 | + | 1.02128i | ||||
\(791\) | 3.35220e6 | 0.190497 | ||||||||
\(792\) | −1.57349e6 | − | 1.70648e7i | −0.0891355 | − | 0.966691i | ||||
\(793\) | 1.55778e7 | 0.879676 | ||||||||
\(794\) | −4.34147e6 | + | 1.33617e7i | −0.244391 | + | 0.752159i | ||||
\(795\) | 9.93036e6 | + | 6.64346e6i | 0.557246 | + | 0.372801i | ||||
\(796\) | 1.97131e7 | + | 1.43224e7i | 1.10274 | + | 0.801184i | ||||
\(797\) | 6.65625e6 | − | 2.16275e6i | 0.371179 | − | 0.120603i | −0.117487 | − | 0.993074i | \(-0.537484\pi\) |
0.488666 | + | 0.872471i | \(0.337484\pi\) | |||||||
\(798\) | 762851. | − | 600677.i | 0.0424065 | − | 0.0333913i | ||||
\(799\) | −1.18560e7 | + | 1.63184e7i | −0.657010 | + | 0.904296i | ||||
\(800\) | 31280.4 | − | 22726.5i | 0.00172801 | − | 0.00125548i | ||||
\(801\) | 1.02524e6 | − | 423295.i | 0.0564603 | − | 0.0233110i | ||||
\(802\) | − | 1.18466e7i | − | 0.650365i | ||||||
\(803\) | −1.43234e7 | + | 208419.i | −0.783893 | + | 0.0114064i | ||||
\(804\) | −618227. | − | 1.67873e6i | −0.0337293 | − | 0.0915885i | ||||
\(805\) | 5.55247e6 | + | 1.80411e6i | 0.301993 | + | 0.0981234i | ||||
\(806\) | −5.54059e6 | − | 7.62597e6i | −0.300413 | − | 0.413483i | ||||
\(807\) | −2.68513e7 | − | 7.58941e6i | −1.45138 | − | 0.410227i | ||||
\(808\) | 2.77427e6 | + | 8.53832e6i | 0.149493 | + | 0.460091i | ||||
\(809\) | −6.45301e6 | − | 1.98603e7i | −0.346650 | − | 1.06688i | −0.960695 | − | 0.277607i | \(-0.910459\pi\) |
0.614045 | − | 0.789271i | \(-0.289541\pi\) | |||||||
\(810\) | 2.12713e7 | + | 2.13688e7i | 1.13915 | + | 1.14437i | ||||
\(811\) | −9.55091e6 | − | 1.31457e7i | −0.509909 | − | 0.701829i | 0.473995 | − | 0.880527i | \(-0.342811\pi\) |
−0.983904 | + | 0.178698i | \(0.942811\pi\) | |||||||
\(812\) | −8.86081e6 | − | 2.87905e6i | −0.471610 | − | 0.153235i | ||||
\(813\) | 1.81909e7 | − | 6.69919e6i | 0.965226 | − | 0.355464i | ||||
\(814\) | 4.39188e7 | + | 1.35669e7i | 2.32321 | + | 0.717660i | ||||
\(815\) | − | 1.81587e7i | − | 0.957614i | ||||||
\(816\) | 859851. | − | 33291.5i | 0.0452062 | − | 0.00175028i | ||||
\(817\) | 1.97115e6 | − | 1.43212e6i | 0.103315 | − | 0.0750628i | ||||
\(818\) | 2.09020e6 | − | 2.87691e6i | 0.109220 | − | 0.150329i | ||||
\(819\) | −1.69122e6 | − | 1.03904e6i | −0.0881031 | − | 0.0541283i | ||||
\(820\) | 2.58120e7 | − | 8.38682e6i | 1.34056 | − | 0.435575i | ||||
\(821\) | −4.03083e6 | − | 2.92857e6i | −0.208707 | − | 0.151634i | 0.478522 | − | 0.878076i | \(-0.341173\pi\) |
−0.687228 | + | 0.726442i | \(0.741173\pi\) | |||||||
\(822\) | −2.00067e7 | + | 2.99051e7i | −1.03275 | + | 1.54371i | ||||
\(823\) | −9.68284e6 | + | 2.98007e7i | −0.498314 | + | 1.53365i | 0.313413 | + | 0.949617i | \(0.398528\pi\) |
−0.811727 | + | 0.584037i | \(0.801472\pi\) | |||||||
\(824\) | −2.65776e6 | −0.136363 | ||||||||
\(825\) | −25571.7 | − | 31521.1i | −0.00130805 | − | 0.00161238i | ||||
\(826\) | −9.01568e6 | −0.459778 | ||||||||
\(827\) | −1.99362e6 | + | 6.13574e6i | −0.101363 | + | 0.311963i | −0.988860 | − | 0.148851i | \(-0.952443\pi\) |
0.887497 | + | 0.460814i | \(0.152443\pi\) | |||||||
\(828\) | 5.26337e7 | + | 1.26999e7i | 2.66801 | + | 0.643759i | ||||
\(829\) | −7.36616e6 | − | 5.35183e6i | −0.372267 | − | 0.270468i | 0.385883 | − | 0.922548i | \(-0.373897\pi\) |
−0.758150 | + | 0.652080i | \(0.773897\pi\) | |||||||
\(830\) | 3.15584e6 | − | 1.02539e6i | 0.159008 | − | 0.0516649i | ||||
\(831\) | −6.02604e6 | − | 7.65298e6i | −0.302712 | − | 0.384440i | ||||
\(832\) | −1.06419e7 | + | 1.46473e7i | −0.532978 | + | 0.733581i | ||||
\(833\) | −1.96981e7 | + | 1.43115e7i | −0.983583 | + | 0.714615i | ||||
\(834\) | 1.54086e6 | + | 3.97973e7i | 0.0767094 | + | 1.98125i | ||||
\(835\) | − | 1.23196e7i | − | 0.611477i | ||||||
\(836\) | −4.68273e6 | + | 3.50742e6i | −0.231730 | + | 0.173569i | ||||
\(837\) | −1.00224e7 | − | 5.63543e6i | −0.494493 | − | 0.278044i | ||||
\(838\) | −4.06225e7 | − | 1.31990e7i | −1.99828 | − | 0.649280i | ||||
\(839\) | −7.21250e6 | − | 9.92715e6i | −0.353737 | − | 0.486877i | 0.594653 | − | 0.803982i | \(-0.297289\pi\) |
−0.948391 | + | 0.317105i | \(0.897289\pi\) | |||||||
\(840\) | 1.00072e6 | − | 3.54055e6i | 0.0489345 | − | 0.173130i | ||||
\(841\) | 1.13838e7 | + | 3.50357e7i | 0.555004 | + | 1.70813i | ||||
\(842\) | 7.12471e6 | + | 2.19276e7i | 0.346328 | + | 1.06589i | ||||
\(843\) | 8758.96 | − | 30989.1i | 0.000424506 | − | 0.00150190i | ||||
\(844\) | −2.94315e7 | − | 4.05090e7i | −1.42219 | − | 1.95747i | ||||
\(845\) | 1.35962e7 | + | 4.41766e6i | 0.655050 | + | 0.212839i | ||||
\(846\) | −1.93367e7 | − | 2.26929e7i | −0.928874 | − | 1.09009i | ||||
\(847\) | −2.36205e6 | − | 3.05974e6i | −0.113131 | − | 0.146547i | ||||
\(848\) | 503998.i | 0.0240680i | ||||||||
\(849\) | −33314.5 | − | 860446.i | −0.00158622 | − | 0.0409689i | ||||
\(850\) | −71849.3 | + | 52201.6i | −0.00341095 | + | 0.00247820i | ||||
\(851\) | −3.20728e7 | + | 4.41444e7i | −1.51814 | + | 2.08955i | ||||
\(852\) | 4.57608e6 | + | 5.81155e6i | 0.215970 | + | 0.274279i | ||||
\(853\) | −1.00409e6 | + | 326247.i | −0.0472496 | + | 0.0153523i | −0.332546 | − | 0.943087i | \(-0.607908\pi\) |
0.285297 | + | 0.958439i | \(0.407908\pi\) | |||||||
\(854\) | −8.10972e6 | − | 5.89206e6i | −0.380506 | − | 0.276454i | ||||
\(855\) | 907151. | − | 3.75962e6i | 0.0424389 | − | 0.175885i | ||||
\(856\) | 7.76060e6 | − | 2.38847e7i | 0.362002 | − | 1.11413i | ||||
\(857\) | −7.65403e6 | −0.355990 | −0.177995 | − | 0.984031i | \(-0.556961\pi\) | ||||
−0.177995 | + | 0.984031i | \(0.556961\pi\) | |||||||
\(858\) | 1.63022e7 | + | 1.05662e7i | 0.756010 | + | 0.490004i | ||||
\(859\) | 2.36019e7 | 1.09135 | 0.545676 | − | 0.837996i | \(-0.316273\pi\) | ||||
0.545676 | + | 0.837996i | \(0.316273\pi\) | |||||||
\(860\) | 7.59345e6 | − | 2.33702e7i | 0.350101 | − | 1.07750i | ||||
\(861\) | −1.96840e6 | + | 2.94227e6i | −0.0904908 | + | 0.135262i | ||||
\(862\) | 4.16782e7 | + | 3.02810e7i | 1.91047 | + | 1.38804i | ||||
\(863\) | 2.28828e7 | − | 7.43507e6i | 1.04588 | − | 0.339827i | 0.264830 | − | 0.964295i | \(-0.414684\pi\) |
0.781050 | + | 0.624468i | \(0.214684\pi\) | |||||||
\(864\) | −4.44180e6 | + | 2.21321e7i | −0.202430 | + | 1.00864i | ||||
\(865\) | 2.50981e7 | − | 3.45446e7i | 1.14052 | − | 1.56979i | ||||
\(866\) | 3.89770e7 | − | 2.83184e7i | 1.76609 | − | 1.28314i | ||||
\(867\) | −1.29359e7 | + | 500849.i | −0.584452 | + | 0.0226287i | ||||
\(868\) | 3.73439e6i | 0.168236i | ||||||||
\(869\) | 4.77927e6 | + | 1.40120e7i | 0.214690 | + | 0.629436i | ||||
\(870\) | −5.65644e7 | + | 2.08310e7i | −2.53364 | + | 0.933065i | ||||
\(871\) | 724660. | + | 235456.i | 0.0323660 | + | 0.0105163i | ||||
\(872\) | 9.58818e6 | + | 1.31970e7i | 0.427017 | + | 0.587738i | ||||
\(873\) | −2.00642e7 | + | 1.55602e6i | −0.891019 | + | 0.0691001i | ||||
\(874\) | −3.48596e6 | − | 1.07287e7i | −0.154363 | − | 0.475082i | ||||
\(875\) | 1.29430e6 | + | 3.98345e6i | 0.0571499 | + | 0.175889i | ||||
\(876\) | −2.74469e7 | − | 7.75778e6i | −1.20846 | − | 0.341568i | ||||
\(877\) | −2.15471e7 | − | 2.96570e7i | −0.945996 | − | 1.30205i | −0.953283 | − | 0.302078i | \(-0.902320\pi\) |
0.00728724 | − | 0.999973i | \(-0.497680\pi\) | |||||||
\(878\) | −5.02670e6 | − | 1.63327e6i | −0.220063 | − | 0.0715027i | ||||
\(879\) | 1.23290e7 | + | 3.34781e7i | 0.538214 | + | 1.46147i | ||||
\(880\) | 243904. | − | 789568.i | 0.0106173 | − | 0.0343702i | ||||
\(881\) | 1.73737e7i | 0.754143i | 0.926184 | + | 0.377071i | \(0.123069\pi\) | ||||
−0.926184 | + | 0.377071i | \(0.876931\pi\) | |||||||
\(882\) | −1.37343e7 | − | 3.32649e7i | −0.594475 | − | 1.43984i | ||||
\(883\) | 1.72270e7 | − | 1.25162e7i | 0.743547 | − | 0.540219i | −0.150273 | − | 0.988645i | \(-0.548015\pi\) |
0.893820 | + | 0.448426i | \(0.148015\pi\) | |||||||
\(884\) | 1.53821e7 | − | 2.11716e7i | 0.662040 | − | 0.911220i | ||||
\(885\) | −2.82145e7 | + | 2.22164e7i | −1.21091 | + | 0.953487i | ||||
\(886\) | 1.91540e7 | − | 6.22353e6i | 0.819740 | − | 0.266350i | ||||
\(887\) | −1.54032e7 | − | 1.11911e7i | −0.657357 | − | 0.477598i | 0.208412 | − | 0.978041i | \(-0.433170\pi\) |
−0.865769 | + | 0.500443i | \(0.833170\pi\) | |||||||
\(888\) | 2.85811e7 | + | 1.91209e7i | 1.21632 | + | 0.813722i | ||||
\(889\) | 696767. | − | 2.14443e6i | 0.0295688 | − | 0.0910033i | ||||
\(890\) | −2.33071e6 | −0.0986310 | ||||||||
\(891\) | 2.34490e7 | + | 3.41972e6i | 0.989533 | + | 0.144310i | ||||
\(892\) | −3.33723e7 | −1.40435 | ||||||||
\(893\) | −1.18176e6 | + | 3.63710e6i | −0.0495909 | + | 0.152625i | ||||
\(894\) | −2.52461e7 | − | 1.68898e7i | −1.05645 | − | 0.706773i | ||||
\(895\) | −3.60385e6 | − | 2.61835e6i | −0.150386 | − | 0.109262i | ||||
\(896\) | 6.72734e6 | − | 2.18585e6i | 0.279945 | − | 0.0909598i | ||||
\(897\) | −1.81185e7 | + | 1.42667e7i | −0.751866 | + | 0.592027i | ||||
\(898\) | −3.67140e7 | + | 5.05325e7i | −1.51929 | + | 2.09113i | ||||
\(899\) | 1.85970e7 | − | 1.35115e7i | 0.767437 | − | 0.557576i | ||||
\(900\) | −30842.1 | − | 74700.7i | −0.00126922 | − | 0.00307410i | ||||
\(901\) | − | 2.05460e7i | − | 0.843171i | ||||||
\(902\) | 1.99551e7 | − | 2.83234e7i | 0.816651 | − | 1.15912i | ||||
\(903\) | 1.10763e6 | + | 3.00765e6i | 0.0452037 | + | 0.122746i | ||||
\(904\) | −2.33430e7 | − | 7.58461e6i | −0.950028 | − | 0.308683i | ||||
\(905\) | −1.57916e7 | − | 2.17352e7i | −0.640920 | − | 0.882151i | ||||
\(906\) | 4.25737e7 | + | 1.20333e7i | 1.72314 | + | 0.487039i | ||||
\(907\) | 5.60606e6 | + | 1.72537e7i | 0.226276 | + | 0.696407i | 0.998160 | + | 0.0606427i | \(0.0193150\pi\) |
−0.771883 | + | 0.635764i | \(0.780685\pi\) | |||||||
\(908\) | −1.74061e6 | − | 5.35706e6i | −0.0700629 | − | 0.215631i | ||||
\(909\) | −1.23771e7 | + | 959866.i | −0.496832 | + | 0.0385302i | ||||
\(910\) | 2.45157e6 | + | 3.37429e6i | 0.0981386 | + | 0.135076i | ||||
\(911\) | 2.51576e6 | + | 817421.i | 0.100432 | + | 0.0326324i | 0.358802 | − | 0.933414i | \(-0.383185\pi\) |
−0.258370 | + | 0.966046i | \(0.583185\pi\) | |||||||
\(912\) | 153095. | − | 56380.2i | 0.00609499 | − | 0.00224460i | ||||
\(913\) | 1.50205e6 | − | 2.13195e6i | 0.0596360 | − | 0.0846449i | ||||
\(914\) | 2.02913e7i | 0.803422i | ||||||||
\(915\) | −3.98984e7 | + | 1.54478e6i | −1.57544 | + | 0.0609976i | ||||
\(916\) | 2.10119e7 | − | 1.52660e7i | 0.827419 | − | 0.601155i | ||||
\(917\) | −1.11359e6 | + | 1.53273e6i | −0.0437324 | + | 0.0601924i | ||||
\(918\) | 1.02026e7 | − | 5.08361e7i | 0.399579 | − | 1.99097i | ||||
\(919\) | −1.87247e7 | + | 6.08404e6i | −0.731353 | + | 0.237631i | −0.650938 | − | 0.759130i | \(-0.725624\pi\) |
−0.0804146 | + | 0.996762i | \(0.525624\pi\) | |||||||
\(920\) | −3.45827e7 | − | 2.51258e7i | −1.34707 | − | 0.978701i | ||||
\(921\) | 1.98146e7 | − | 2.96179e7i | 0.769724 | − | 1.15055i | ||||
\(922\) | 1.32922e7 | − | 4.09093e7i | 0.514957 | − | 1.58487i | ||||
\(923\) | −3.15051e6 | −0.121724 | ||||||||
\(924\) | −2.76451e6 | − | 7.18272e6i | −0.106522 | − | 0.276764i | ||||
\(925\) | 81446.2 | 0.00312980 | ||||||||
\(926\) | 1.36511e7 | − | 4.20138e7i | 0.523168 | − | 1.61014i | ||||
\(927\) | 862021. | − | 3.57258e6i | 0.0329472 | − | 0.136547i | ||||
\(928\) | −3.65100e7 | − | 2.65260e7i | −1.39169 | − | 1.01112i | ||||
\(929\) | −2.79786e7 | + | 9.09080e6i | −1.06362 | + | 0.345591i | −0.788000 | − | 0.615675i | \(-0.788883\pi\) |
−0.275621 | + | 0.961266i | \(0.588883\pi\) | |||||||
\(930\) | 1.49470e7 | + | 1.89825e7i | 0.566692 | + | 0.719691i | ||||
\(931\) | −2.71339e6 | + | 3.73467e6i | −0.102598 | + | 0.141214i | ||||
\(932\) | 8.80521e6 | − | 6.39736e6i | 0.332047 | − | 0.241247i | ||||
\(933\) | 49673.7 | + | 1.28297e6i | 0.00186819 | + | 0.0482516i | ||||
\(934\) | 1.40350e7i | 0.526434i | ||||||||
\(935\) | −9.94300e6 | + | 3.21875e7i | −0.371953 | + | 1.20409i | ||||
\(936\) | 9.42591e6 | + | 1.10619e7i | 0.351669 | + | 0.412706i | ||||
\(937\) | 3.51405e7 | + | 1.14178e7i | 1.30755 | + | 0.424849i | 0.878202 | − | 0.478290i | \(-0.158743\pi\) |
0.429349 | + | 0.903139i | \(0.358743\pi\) | |||||||
\(938\) | −288197. | − | 396669.i | −0.0106950 | − | 0.0147204i | ||||
\(939\) | 1.02062e7 | − | 3.61094e7i | 0.377746 | − | 1.33646i | ||||
\(940\) | 1.19186e7 | + | 3.66818e7i | 0.439954 | + | 1.35404i | ||||
\(941\) | −6.47031e6 | − | 1.99136e7i | −0.238205 | − | 0.733120i | −0.996680 | − | 0.0814179i | \(-0.974055\pi\) |
0.758475 | − | 0.651702i | \(-0.225945\pi\) | |||||||
\(942\) | 1.59358e7 | − | 5.63809e7i | 0.585124 | − | 2.07016i | ||||
\(943\) | 2.41748e7 | + | 3.32737e7i | 0.885285 | + | 1.21849i | ||||
\(944\) | −1.44073e6 | − | 468121.i | −0.0526202 | − | 0.0170973i | ||||
\(945\) | 4.43466e6 | + | 2.49353e6i | 0.161540 | + | 0.0908311i | ||||
\(946\) | −1.01268e7 | − | 2.96900e7i | −0.367911 | − | 1.07866i | ||||
\(947\) | 3.23931e7i | 1.17375i | 0.809676 | + | 0.586877i | \(0.199643\pi\) | ||||
−0.809676 | + | 0.586877i | \(0.800357\pi\) | |||||||
\(948\) | 1.14045e6 | + | 2.94555e7i | 0.0412150 | + | 1.06450i | ||||
\(949\) | 9.82813e6 | − | 7.14055e6i | 0.354246 | − | 0.257375i | ||||
\(950\) | −9897.19 | + | 13622.3i | −0.000355798 | + | 0.000489713i | ||||
\(951\) | 4.72410e6 | + | 5.99954e6i | 0.169382 | + | 0.215113i | ||||
\(952\) | −6.01741e6 | + | 1.95517e6i | −0.215187 | + | 0.0699187i | ||||
\(953\) | 1.88267e7 | + | 1.36784e7i | 0.671494 | + | 0.487869i | 0.870525 | − | 0.492124i | \(-0.163779\pi\) |
−0.199031 | + | 0.979993i | \(0.563779\pi\) | |||||||
\(954\) | 2.95216e7 | + | 7.12321e6i | 1.05019 | + | 0.253399i | ||||
\(955\) | −8.45361e6 | + | 2.60175e7i | −0.299939 | + | 0.923119i | ||||
\(956\) | −4.75544e7 | −1.68285 | ||||||||
\(957\) | −2.57671e7 | + | 3.97551e7i | −0.909463 | + | 1.40318i | ||||
\(958\) | −2.42941e7 | −0.855237 | ||||||||
\(959\) | −1.87611e6 | + | 5.77407e6i | −0.0658736 | + | 0.202738i | ||||
\(960\) | 2.58038e7 | − | 3.85704e7i | 0.903662 | − | 1.35075i | ||||
\(961\) | 1.57074e7 | + | 1.14121e7i | 0.548650 | + | 0.398618i | ||||
\(962\) | −3.70740e7 | + | 1.20461e7i | −1.29161 | + | 0.419670i | ||||
\(963\) | 2.95889e7 | + | 1.81787e7i | 1.02817 | + | 0.631679i | ||||
\(964\) | −7.19803e6 | + | 9.90723e6i | −0.249471 | + | 0.343368i | ||||
\(965\) | 6.80353e6 | − | 4.94306e6i | 0.235189 | − | 0.170875i | ||||
\(966\) | 1.48285e7 | − | 574127.i | 0.511276 | − | 0.0197955i | ||||
\(967\) | − | 3.29109e6i | − | 0.113181i | −0.998397 | − | 0.0565905i | \(-0.981977\pi\) | ||
0.998397 | − | 0.0565905i | \(-0.0180230\pi\) | |||||||
\(968\) | 9.52520e6 | + | 2.66508e7i | 0.326728 | + | 0.914159i | ||||
\(969\) | −6.24106e6 | + | 2.29840e6i | −0.213525 | + | 0.0786349i | ||||
\(970\) | 4.02176e7 | + | 1.30675e7i | 1.37242 | + | 0.445926i | ||||
\(971\) | −2.48754e7 | − | 3.42381e7i | −0.846687 | − | 1.16536i | −0.984583 | − | 0.174918i | \(-0.944034\pi\) |
0.137896 | − | 0.990447i | \(-0.455966\pi\) | |||||||
\(972\) | 4.27924e7 | + | 1.98760e7i | 1.45278 | + | 0.674782i | ||||
\(973\) | 2.07670e6 | + | 6.39141e6i | 0.0703219 | + | 0.216429i | ||||
\(974\) | 6.97045e6 | + | 2.14528e7i | 0.235431 | + | 0.724581i | ||||
\(975\) | 33124.1 | + | 9362.41i | 0.00111592 | + | 0.000315410i | ||||
\(976\) | −990021. | − | 1.36265e6i | −0.0332675 | − | 0.0457888i | ||||
\(977\) | 3.43194e7 | + | 1.11510e7i | 1.15028 | + | 0.373748i | 0.821248 | − | 0.570571i | \(-0.193278\pi\) |
0.329031 | + | 0.944319i | \(0.393278\pi\) | |||||||
\(978\) | −1.59506e7 | − | 4.33123e7i | −0.533250 | − | 1.44798i | ||||
\(979\) | −1.46614e6 | + | 1.09816e6i | −0.0488898 | + | 0.0366191i | ||||
\(980\) | 4.65575e7i | 1.54855i | ||||||||
\(981\) | −2.08494e7 | + | 8.60819e6i | −0.691704 | + | 0.285588i | ||||
\(982\) | −7.65372e7 | + | 5.56075e7i | −2.53276 | + | 1.84016i | ||||
\(983\) | 7.89253e6 | − | 1.08631e7i | 0.260515 | − | 0.358568i | −0.658644 | − | 0.752454i | \(-0.728870\pi\) |
0.919159 | + | 0.393887i | \(0.128870\pi\) | |||||||
\(984\) | 2.03640e7 | − | 1.60348e7i | 0.670465 | − | 0.527931i | ||||
\(985\) | −2.23037e7 | + | 7.24691e6i | −0.732464 | + | 0.237992i | ||||
\(986\) | 8.38613e7 | + | 6.09288e7i | 2.74707 | + | 1.99586i | ||||
\(987\) | −4.18130e6 | − | 2.79732e6i | −0.136621 | − | 0.0914005i | ||||
\(988\) | 1.53323e6 | − | 4.71879e6i | 0.0499706 | − | 0.153794i | ||||
\(989\) | 3.72379e7 | 1.21058 | ||||||||
\(990\) | −4.28016e7 | − | 2.54459e7i | −1.38794 | − | 0.825144i | ||||
\(991\) | 8.85519e6 | 0.286427 | 0.143213 | − | 0.989692i | \(-0.454256\pi\) | ||||
0.143213 | + | 0.989692i | \(0.454256\pi\) | |||||||
\(992\) | −5.58970e6 | + | 1.72033e7i | −0.180347 | + | 0.555051i | ||||
\(993\) | 1.64060e7 | + | 1.09757e7i | 0.527995 | + | 0.353232i | ||||
\(994\) | 1.64014e6 | + | 1.19163e6i | 0.0526521 | + | 0.0382540i | ||||
\(995\) | 2.52992e7 | − | 8.22022e6i | 0.810120 | − | 0.263224i | ||||
\(996\) | 4.07973e6 | − | 3.21242e6i | 0.130312 | − | 0.102609i | ||||
\(997\) | −288603. | + | 397228.i | −0.00919525 | + | 0.0126562i | −0.813590 | − | 0.581439i | \(-0.802490\pi\) |
0.804395 | + | 0.594095i | \(0.202490\pi\) | |||||||
\(998\) | −3.73003e7 | + | 2.71003e7i | −1.18546 | + | 0.861286i | ||||
\(999\) | −3.49725e7 | + | 3.22173e7i | −1.10870 | + | 1.02135i |
(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 | 33.6.f.a.2.3 | ✓ | 72 | |
3.2 | odd | 2 | inner | 33.6.f.a.2.16 | yes | 72 | |
11.6 | odd | 10 | inner | 33.6.f.a.17.16 | yes | 72 | |
33.17 | even | 10 | inner | 33.6.f.a.17.3 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
33.6.f.a.2.3 | ✓ | 72 | 1.1 | even | 1 | trivial | |
33.6.f.a.2.16 | yes | 72 | 3.2 | odd | 2 | inner | |
33.6.f.a.17.3 | yes | 72 | 33.17 | even | 10 | inner | |
33.6.f.a.17.16 | yes | 72 | 11.6 | odd | 10 | inner |