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 | 2.16 | ||
Character | \(\chi\) | \(=\) | 33.2 |
Dual form | 33.6.f.a.17.16 |
$q$-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 | \(-0.601353\pi\) |
0.811507 | − | 0.584342i | \(-0.198647\pi\) | |||||||
\(3\) | −4.23991 | − | 15.0008i | −0.271990 | − | 0.962300i | ||||
\(4\) | −41.4695 | − | 30.1293i | −1.29592 | − | 0.941541i | ||||
\(5\) | 53.2208 | − | 17.2925i | 0.952043 | − | 0.309338i | 0.208498 | − | 0.978023i | \(-0.433143\pi\) |
0.743546 | + | 0.668685i | \(0.233143\pi\) | |||||||
\(6\) | −142.133 | − | 5.50305i | −1.61182 | − | 0.0624059i | ||||
\(7\) | −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 | ||||
\(9\) | −207.046 | + | 127.204i | −0.852042 | + | 0.523473i | ||||
\(10\) | − | 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 | ||||
\(15\) | −485.052 | − | 725.035i | −0.556622 | − | 0.832014i | ||||
\(16\) | −11.3712 | − | 34.9969i | −0.0111047 | − | 0.0341767i | ||||
\(17\) | −463.558 | − | 1426.69i | −0.389029 | − | 1.19731i | −0.933515 | − | 0.358538i | \(-0.883275\pi\) |
0.544486 | − | 0.838770i | \(-0.316725\pi\) | |||||||
\(18\) | 520.080 | + | 2155.43i | 0.378345 | + | 1.56802i | ||||
\(19\) | 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 | \(-0.672516\pi\) | ||
0.515828 | − | 0.856692i | \(-0.327484\pi\) | |||||||
\(24\) | 2152.26 | + | 1694.71i | 0.762723 | + | 0.600576i | ||||
\(25\) | 5.24910 | − | 3.81369i | 0.00167971 | − | 0.00122038i | ||||
\(26\) | 1825.32 | − | 2512.33i | 0.529547 | − | 0.728859i | ||||
\(27\) | 2786.01 | + | 2566.52i | 0.735485 | + | 0.677541i | ||||
\(28\) | 1170.06 | − | 380.175i | 0.282041 | − | 0.0916406i | ||||
\(29\) | 6126.66 | + | 4451.28i | 1.35278 | + | 0.982856i | 0.998867 | + | 0.0475790i | \(0.0151506\pi\) |
0.353917 | + | 0.935277i | \(0.384849\pi\) | |||||||
\(30\) | −7659.58 | + | 2164.95i | −1.55382 | + | 0.439182i | ||||
\(31\) | −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 | ||||||||
\(33\) | 3798.22 | − | 4970.81i | 0.607149 | − | 0.794588i | ||||
\(34\) | −13687.9 | −2.03067 | ||||||||
\(35\) | −415.038 | + | 1277.36i | −0.0572688 | + | 0.176255i | ||||
\(36\) | 12418.7 | + | 963.089i | 1.59705 | + | 0.123854i | ||||
\(37\) | 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 | ||||
\(39\) | 205.254 | − | 5301.29i | 0.0216088 | − | 0.558110i | ||||
\(40\) | −5780.23 | + | 7955.81i | −0.571209 | + | 0.786202i | ||||
\(41\) | −7654.67 | + | 5561.45i | −0.711159 | + | 0.516688i | −0.883548 | − | 0.468342i | \(-0.844852\pi\) |
0.172388 | + | 0.985029i | \(0.444852\pi\) | |||||||
\(42\) | 2111.98 | − | 2682.19i | 0.184743 | − | 0.234621i | ||||
\(43\) | − | 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 | 0.463984 | − | 0.885843i | \(-0.346419\pi\) |
−0.985866 | + | 0.167535i | \(0.946419\pi\) | |||||||
\(48\) | −476.768 | + | 318.960i | −0.0298678 | + | 0.0199818i | ||||
\(49\) | 5015.64 | + | 15436.6i | 0.298426 | + | 0.918460i | ||||
\(50\) | −18.2947 | − | 56.3053i | −0.00103490 | − | 0.00318511i | ||||
\(51\) | −19435.9 | + | 13002.7i | −1.04636 | + | 0.700019i | ||||
\(52\) | −10254.0 | − | 14113.4i | −0.525877 | − | 0.723808i | ||||
\(53\) | 13026.0 | + | 4232.41i | 0.636975 | + | 0.206966i | 0.609662 | − | 0.792661i | \(-0.291305\pi\) |
0.0273127 | + | 0.999627i | \(0.491305\pi\) | |||||||
\(54\) | 30128.0 | − | 16940.4i | 1.40600 | − | 0.790569i | ||||
\(55\) | 18358.4 | + | 12934.3i | 0.818332 | + | 0.576550i | ||||
\(56\) | − | 4217.75i | − | 0.179726i | ||||||
\(57\) | 2742.81 | − | 3483.33i | 0.111817 | − | 0.142006i | ||||
\(58\) | 55903.6 | − | 40616.3i | 2.18207 | − | 1.58537i | ||||
\(59\) | −24197.6 | + | 33305.1i | −0.904985 | + | 1.24561i | 0.0638654 | + | 0.997959i | \(0.479657\pi\) |
−0.968850 | + | 0.247647i | \(0.920343\pi\) | |||||||
\(60\) | −1729.95 | + | 44681.1i | −0.0620377 | + | 1.60231i | ||||
\(61\) | 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 | ||||
\(63\) | 450.947 | − | 5814.79i | 0.0143144 | − | 0.184579i | ||||
\(64\) | −16439.1 | + | 50594.3i | −0.501681 | + | 1.54402i | ||||
\(65\) | 19044.9 | 0.559108 | ||||||||
\(66\) | −32427.2 | − | 46977.2i | −0.916325 | − | 1.32748i | ||||
\(67\) | 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 | ||||
\(69\) | −65206.1 | + | 18430.3i | −1.64879 | + | 0.466024i | ||||
\(70\) | 9914.69 | + | 7203.44i | 0.241843 | + | 0.175709i | ||||
\(71\) | 8804.09 | − | 2860.62i | 0.207271 | − | 0.0673464i | −0.203541 | − | 0.979066i | \(-0.565245\pi\) |
0.410812 | + | 0.911720i | \(0.365245\pi\) | |||||||
\(72\) | 16296.6 | − | 39471.0i | 0.370481 | − | 0.897319i | ||||
\(73\) | 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 | ||||
\(75\) | −79.4641 | − | 62.5708i | −0.00163124 | − | 0.00128445i | ||||
\(76\) | − | 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 | ||||
\(81\) | 26687.3 | − | 52674.2i | 0.451953 | − | 0.892042i | ||||
\(82\) | 26678.9 | + | 82109.1i | 0.438160 | + | 1.34852i | ||||
\(83\) | −2008.17 | − | 6180.50i | −0.0319966 | − | 0.0984756i | 0.933783 | − | 0.357840i | \(-0.116487\pi\) |
−0.965779 | + | 0.259365i | \(0.916487\pi\) | |||||||
\(84\) | −10663.9 | − | 15939.9i | −0.164898 | − | 0.246483i | ||||
\(85\) | −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 | \(0.00972322\pi\) | ||||
−0.999533 | + | 0.0305416i | \(0.990277\pi\) | |||||||
\(90\) | 64951.9 | + | 105720.i | 0.845250 | + | 1.37579i | ||||
\(91\) | −6608.32 | + | 4801.23i | −0.0836542 | + | 0.0607783i | ||||
\(92\) | −130968. | + | 180261.i | −1.61322 | + | 2.22041i | ||||
\(93\) | 47282.0 | + | 1830.65i | 0.566877 | + | 0.0219482i | ||||
\(94\) | −116686. | + | 37913.7i | −1.36207 | + | 0.442565i | ||||
\(95\) | 12876.1 | + | 9355.01i | 0.146378 | + | 0.106349i | ||||
\(96\) | 25266.5 | + | 89392.5i | 0.279812 | + | 0.989973i | ||||
\(97\) | −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 | ||||||||
\(99\) | −90670.1 | − | 35900.4i | −0.929771 | − | 0.368139i | ||||
\(100\) | −332.581 | −0.00332581 | ||||||||
\(101\) | 15786.9 | − | 48587.1i | 0.153990 | − | 0.473934i | −0.844067 | − | 0.536238i | \(-0.819845\pi\) |
0.998057 | + | 0.0623042i | \(0.0198449\pi\) | |||||||
\(102\) | 58035.6 | + | 205329.i | 0.552324 | + | 1.95412i | ||||
\(103\) | −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 | ||||
\(105\) | 20921.0 | + | 810.016i | 0.185187 | + | 0.00717002i | ||||
\(106\) | 73458.2 | − | 101107.i | 0.635003 | − | 0.874006i | ||||
\(107\) | −115616. | + | 84000.2i | −0.976248 | + | 0.709286i | −0.956867 | − | 0.290527i | \(-0.906170\pi\) |
−0.0193809 | + | 0.999812i | \(0.506170\pi\) | |||||||
\(108\) | −38207.0 | − | 190373.i | −0.315198 | − | 1.57053i | ||||
\(109\) | 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 | 0.996138 | − | 0.0877970i | \(-0.0279827\pi\) |
−0.391324 | + | 0.920253i | \(0.627983\pi\) | |||||||
\(114\) | −22494.7 | − | 33624.0i | −0.162113 | − | 0.242319i | ||||
\(115\) | −75167.9 | − | 231343.i | −0.530014 | − | 1.63122i | ||||
\(116\) | −119955. | − | 369184.i | −0.827702 | − | 2.54741i | ||||
\(117\) | −80393.7 | + | 19398.0i | −0.542947 | + | 0.131006i | ||||
\(118\) | 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 | ||||||
\(123\) | 115881. | + | 91246.0i | 0.690637 | + | 0.543815i | ||||
\(124\) | 125877. | − | 91455.1i | 0.735178 | − | 0.534138i | ||||
\(125\) | −102575. | + | 141182.i | −0.587173 | + | 0.808175i | ||||
\(126\) | −49189.5 | − | 20309.1i | −0.276024 | − | 0.113963i | ||||
\(127\) | −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 | ||||
\(129\) | −128506. | + | 36321.8i | −0.679908 | + | 0.192173i | ||||
\(130\) | 53700.3 | − | 165273.i | 0.278688 | − | 0.857714i | ||||
\(131\) | −78936.4 | −0.401883 | −0.200941 | − | 0.979603i | \(-0.564400\pi\) | ||||
−0.200941 | + | 0.979603i | \(0.564400\pi\) | |||||||
\(132\) | −307277. | + | 91699.0i | −1.53495 | + | 0.458068i | ||||
\(133\) | −6826.22 | −0.0334620 | ||||||||
\(134\) | 6312.80 | − | 19428.8i | 0.0303711 | − | 0.0934726i | ||||
\(135\) | 192656. | + | 88415.3i | 0.909803 | + | 0.417535i | ||||
\(136\) | 213270. | + | 154950.i | 0.988743 | + | 0.718364i | ||||
\(137\) | −240576. | + | 78167.8i | −1.09509 | + | 0.355817i | −0.800212 | − | 0.599718i | \(-0.795280\pi\) |
−0.294880 | + | 0.955534i | \(0.595280\pi\) | |||||||
\(138\) | −23920.9 | + | 617829.i | −0.106925 | + | 2.76166i | ||||
\(139\) | 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 | ||||
\(141\) | −129671. | + | 164680.i | −0.549282 | + | 0.697580i | ||||
\(142\) | − | 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 | ||||
\(147\) | 210294. | − | 140688.i | 0.802665 | − | 0.536987i | ||||
\(148\) | −198837. | − | 611957.i | −0.746178 | − | 2.29650i | ||||
\(149\) | −65989.8 | − | 203096.i | −0.243507 | − | 0.749437i | −0.995878 | − | 0.0906982i | \(-0.971090\pi\) |
0.752372 | − | 0.658739i | \(-0.228910\pi\) | |||||||
\(150\) | −767.055 | + | 513.164i | −0.00278355 | + | 0.00186221i | ||||
\(151\) | −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 | ||||||||
\(156\) | −168236. | + | 213657.i | −0.553487 | + | 0.702921i | ||||
\(157\) | −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 | ||||
\(159\) | 8260.26 | − | 213346.i | 0.0259120 | − | 0.669254i | ||||
\(160\) | −317153. | + | 103049.i | −0.979421 | + | 0.318233i | ||||
\(161\) | 84403.8 | + | 61323.0i | 0.256624 | + | 0.186448i | ||||
\(162\) | −381860. | − | 380118.i | −1.14318 | − | 1.13797i | ||||
\(163\) | −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 | ||||||||
\(165\) | 116187. | − | 330231.i | 0.332236 | − | 0.944296i | ||||
\(166\) | −59297.1 | −0.167018 | ||||||||
\(167\) | 68030.5 | − | 209376.i | 0.188761 | − | 0.580947i | −0.811232 | − | 0.584725i | \(-0.801203\pi\) |
0.999993 | + | 0.00377790i | \(0.00120254\pi\) | |||||||
\(168\) | −63269.6 | + | 17882.9i | −0.172950 | + | 0.0488838i | ||||
\(169\) | −206677. | − | 150160.i | −0.556641 | − | 0.404423i | ||||
\(170\) | −728483. | + | 236698.i | −1.93329 | + | 0.628164i | ||||
\(171\) | −63881.8 | − | 26375.2i | −0.167066 | − | 0.0689772i | ||||
\(172\) | −258107. | + | 355254.i | −0.665241 | + | 0.915626i | ||||
\(173\) | 617313. | − | 448504.i | 1.56816 | − | 1.13933i | 0.639265 | − | 0.768987i | \(-0.279239\pi\) |
0.928893 | − | 0.370347i | \(-0.120761\pi\) | |||||||
\(174\) | −846302. | − | 666387.i | −2.11910 | − | 1.66860i | ||||
\(175\) | 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 | 0.750948 | − | 0.660361i | \(-0.229597\pi\) |
−0.860097 | + | 0.510131i | \(0.829597\pi\) | |||||||
\(180\) | 677586. | − | 163493.i | 1.55877 | − | 0.376113i | ||||
\(181\) | 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 | ||||
\(183\) | −396749. | − | 593043.i | −0.875766 | − | 1.30906i | ||||
\(184\) | 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 | ||||||||
\(189\) | −89138.4 | + | 17889.7i | −0.181514 | + | 0.0364290i | ||||
\(190\) | 117490. | − | 85361.1i | 0.236110 | − | 0.171544i | ||||
\(191\) | −287345. | + | 395496.i | −0.569927 | + | 0.784438i | −0.992546 | − | 0.121870i | \(-0.961111\pi\) |
0.422619 | + | 0.906308i | \(0.361111\pi\) | |||||||
\(192\) | 828654. | + | 32083.6i | 1.62226 | + | 0.0628102i | ||||
\(193\) | −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 | ||||
\(195\) | −80748.7 | − | 285688.i | −0.152072 | − | 0.538029i | ||||
\(196\) | 257097. | − | 791263.i | 0.478032 | − | 1.47123i | ||||
\(197\) | −419078. | −0.769360 | −0.384680 | − | 0.923050i | \(-0.625688\pi\) | ||||
−0.384680 | + | 0.923050i | \(0.625688\pi\) | |||||||
\(198\) | −567205. | + | 685612.i | −1.02820 | + | 1.24284i | ||||
\(199\) | −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 | ||||
\(201\) | −9492.51 | − | 33584.4i | −0.0165726 | − | 0.0586338i | ||||
\(202\) | −377128. | − | 273999.i | −0.650294 | − | 0.472466i | ||||
\(203\) | −172863. | + | 56166.7i | −0.294417 | + | 0.0956618i | ||||
\(204\) | 1.19776e6 | + | 46374.6i | 2.01509 | + | 0.0780198i | ||||
\(205\) | −311217. | + | 428353.i | −0.517224 | + | 0.711897i | ||||
\(206\) | −111644. | + | 81114.5i | −0.183303 | + | 0.133177i | ||||
\(207\) | 552936. | + | 899999.i | 0.896910 | + | 1.45988i | ||||
\(208\) | − | 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 | ||||
\(213\) | −80240.1 | − | 119939.i | −0.121183 | − | 0.181139i | ||||
\(214\) | 402958. | + | 1.24018e6i | 0.601486 | + | 1.85118i | ||||
\(215\) | −148139. | − | 455924.i | −0.218561 | − | 0.672661i | ||||
\(216\) | −661191. | − | 77107.9i | −0.964257 | − | 0.112451i | ||||
\(217\) | −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 | ||||||
\(222\) | −1.40282e6 | − | 1.10460e6i | −1.91038 | − | 1.50426i | ||||
\(223\) | 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 | ||||
\(225\) | −601.690 | + | 1457.32i | −0.000792349 | + | 0.00191910i | ||||
\(226\) | 1.21205e6 | − | 393820.i | 1.57852 | − | 0.512893i | ||||
\(227\) | −88901.1 | − | 64590.4i | −0.114510 | − | 0.0831962i | 0.529057 | − | 0.848587i | \(-0.322546\pi\) |
−0.643566 | + | 0.765390i | \(0.722546\pi\) | |||||||
\(228\) | −218693. | + | 61812.7i | −0.278611 | + | 0.0787482i | ||||
\(229\) | −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 | ||||||||
\(231\) | 42936.3 | + | 143876.i | 0.0529413 | + | 0.177402i | ||||
\(232\) | −1.33081e6 | −1.62329 | ||||||||
\(233\) | 65613.6 | − | 201938.i | 0.0791779 | − | 0.243685i | −0.903630 | − | 0.428313i | \(-0.859108\pi\) |
0.982808 | + | 0.184628i | \(0.0591081\pi\) | |||||||
\(234\) | −58346.5 | + | 752356.i | −0.0696587 | + | 0.898222i | ||||
\(235\) | −608739. | − | 442275.i | −0.719054 | − | 0.522423i | ||||
\(236\) | 2.00692e6 | − | 652087.i | 2.34558 | − | 0.762124i | ||||
\(237\) | −22248.7 | + | 574639.i | −0.0257297 | + | 0.664545i | ||||
\(238\) | 193102. | − | 265782.i | 0.220975 | − | 0.304147i | ||||
\(239\) | −750547. | + | 545304.i | −0.849929 | + | 0.617510i | −0.925127 | − | 0.379659i | \(-0.876041\pi\) |
0.0751971 | + | 0.997169i | \(0.476041\pi\) | |||||||
\(240\) | −19858.4 | + | 25219.8i | −0.0222544 | + | 0.0282627i | ||||
\(241\) | − | 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 | ||||
\(246\) | 1.11858e6 | − | 748338.i | 1.17850 | − | 0.788425i | ||||
\(247\) | 29911.4 | + | 92057.7i | 0.0311956 | + | 0.0960103i | ||||
\(248\) | −164836. | − | 507313.i | −0.170186 | − | 0.523777i | ||||
\(249\) | −84197.8 | + | 56328.8i | −0.0860602 | + | 0.0575748i | ||||
\(250\) | 935960. | + | 1.28824e6i | 0.947125 | + | 1.30361i | ||||
\(251\) | −579288. | − | 188222.i | −0.580377 | − | 0.188576i | 0.00409257 | − | 0.999992i | \(-0.498697\pi\) |
−0.584469 | + | 0.811416i | \(0.698697\pi\) | |||||||
\(252\) | −193896. | + | 227550.i | −0.192339 | + | 0.225722i | ||||
\(253\) | 1.39621e6 | − | 1.04578e6i | 1.37136 | − | 1.02716i | ||||
\(254\) | 857217.i | 0.833694i | ||||||||
\(255\) | −809547. | + | 1.02811e6i | −0.779635 | + | 0.990126i | ||||
\(256\) | 798389. | − | 580063.i | 0.761403 | − | 0.553191i | ||||
\(257\) | −554448. | + | 763132.i | −0.523634 | + | 0.720721i | −0.986144 | − | 0.165894i | \(-0.946949\pi\) |
0.462509 | + | 0.886614i | \(0.346949\pi\) | |||||||
\(258\) | −47142.7 | + | 1.21760e6i | −0.0440925 | + | 1.13882i | ||||
\(259\) | −286537. | + | 93101.4i | −0.265418 | + | 0.0862396i | ||||
\(260\) | −789782. | − | 573810.i | −0.724559 | − | 0.526423i | ||||
\(261\) | −1.83472e6 | − | 142286.i | −1.66713 | − | 0.129289i | ||||
\(262\) | −222575. | + | 685014.i | −0.200319 | + | 0.616519i | ||||
\(263\) | 378307. | 0.337252 | 0.168626 | − | 0.985680i | \(-0.446067\pi\) | ||||
0.168626 | + | 0.985680i | \(0.446067\pi\) | |||||||
\(264\) | −26545.0 | + | 1.09903e6i | −0.0234409 | + | 0.970509i | ||||
\(265\) | 766445. | 0.670450 | ||||||||
\(266\) | −19247.7 | + | 59238.3i | −0.0166792 | + | 0.0513332i | ||||
\(267\) | 68471.7 | − | 19353.3i | 0.0587804 | − | 0.0166141i | ||||
\(268\) | −92843.7 | − | 67454.9i | −0.0789615 | − | 0.0573689i | ||||
\(269\) | 1.70238e6 | − | 553138.i | 1.43442 | − | 0.466072i | 0.514268 | − | 0.857630i | \(-0.328064\pi\) |
0.920153 | + | 0.391558i | \(0.128064\pi\) | |||||||
\(270\) | 1.31050e6 | − | 1.42257e6i | 1.09402 | − | 1.18759i | ||||
\(271\) | 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 | ||||
\(273\) | 100041. | + | 78773.2i | 0.0812401 | + | 0.0639693i | ||||
\(274\) | 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 | ||||
\(279\) | −173010. | − | 717029.i | −0.133064 | − | 0.551475i | ||||
\(280\) | −72935.5 | − | 224472.i | −0.0555960 | − | 0.171107i | ||||
\(281\) | 638.379 | + | 1964.73i | 0.000482295 | + | 0.00148435i | 0.951297 | − | 0.308275i | \(-0.0997516\pi\) |
−0.950815 | + | 0.309759i | \(0.899752\pi\) | |||||||
\(282\) | 1.06347e6 | + | 1.58964e6i | 0.796351 | + | 1.19035i | ||||
\(283\) | −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 | ||||||
\(288\) | 1.23383e6 | − | 758033.i | 0.876544 | − | 0.538526i | ||||
\(289\) | −671856. | + | 488132.i | −0.473186 | + | 0.343790i | ||||
\(290\) | 2.27288e6 | − | 3.12835e6i | 1.58701 | − | 2.18434i | ||||
\(291\) | 1.29002e6 | + | 49946.6i | 0.893025 | + | 0.0345759i | ||||
\(292\) | −1.74015e6 | + | 565409.i | −1.19434 | + | 0.388066i | ||||
\(293\) | −1.85154e6 | − | 1.34522e6i | −1.25998 | − | 0.915428i | −0.261222 | − | 0.965279i | \(-0.584126\pi\) |
−0.998757 | + | 0.0498505i | \(0.984126\pi\) | |||||||
\(294\) | −627938. | − | 2.22164e6i | −0.423690 | − | 1.49901i | ||||
\(295\) | −711886. | + | 2.19096e6i | −0.476272 | + | 1.46582i | ||||
\(296\) | −2.20595e6 | −1.46341 | ||||||||
\(297\) | −154101. | + | 1.51234e6i | −0.101371 | + | 0.994849i | ||||
\(298\) | −1.94854e6 | −1.27107 | ||||||||
\(299\) | 457152. | − | 1.40697e6i | 0.295721 | − | 0.910136i | ||||
\(300\) | 1410.12 | + | 4988.98i | 0.000904590 | + | 0.00320043i | ||||
\(301\) | 166341. | + | 120854.i | 0.105824 | + | 0.0768853i | ||||
\(302\) | −2.69919e6 | + | 877021.i | −1.70301 | + | 0.553341i | ||||
\(303\) | −795780. | − | 30810.8i | −0.497951 | − | 0.0192795i | ||||
\(304\) | 6151.66 | − | 8467.04i | 0.00381776 | − | 0.00525469i | ||||
\(305\) | 2.07222e6 | − | 1.50555e6i | 1.27552 | − | 0.926716i | ||||
\(306\) | 2.83403e6 | − | 1.74116e6i | 1.73022 | − | 1.06300i | ||||
\(307\) | − | 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 | 0.794590 | − | 0.607147i | \(-0.207686\pi\) |
−0.822973 | + | 0.568081i | \(0.807686\pi\) | |||||||
\(312\) | 518404. | + | 774887.i | 0.301496 | + | 0.450663i | ||||
\(313\) | −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 | ||||
\(315\) | −76552.5 | − | 317266.i | −0.0434693 | − | 0.180155i | ||||
\(316\) | 1.11149e6 | + | 1.52984e6i | 0.626165 | + | 0.861842i | ||||
\(317\) | −465887. | − | 151376.i | −0.260395 | − | 0.0846074i | 0.175910 | − | 0.984406i | \(-0.443713\pi\) |
−0.436305 | + | 0.899799i | \(0.643713\pi\) | |||||||
\(318\) | −1.82813e6 | − | 673247.i | −1.01377 | − | 0.373342i | ||||
\(319\) | 44217.5 | + | 3.03880e6i | 0.0243286 | + | 1.67196i | ||||
\(320\) | 2.97694e6i | 1.62516i | ||||||||
\(321\) | 1.75027e6 | + | 1.37818e6i | 0.948075 | + | 0.746524i | ||||
\(322\) | 770155. | − | 559550.i | 0.413941 | − | 0.300746i | ||||
\(323\) | 250779. | − | 345167.i | 0.133747 | − | 0.184087i | ||||
\(324\) | −2.69375e6 | + | 1.38030e6i | −1.42559 | + | 0.730484i | ||||
\(325\) | 2100.09 | − | 682.359i | 0.00110288 | − | 0.000358348i | ||||
\(326\) | 2.39543e6 | + | 1.74038e6i | 1.24836 | + | 0.906984i | ||||
\(327\) | 1.39245e6 | − | 393571.i | 0.720129 | − | 0.203542i | ||||
\(328\) | 513810. | − | 1.58134e6i | 0.263705 | − | 0.811600i | ||||
\(329\) | 322722. | 0.164376 | ||||||||
\(330\) | −2.53816e6 | − | 1.93942e6i | −1.28302 | − | 0.980361i | ||||
\(331\) | 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 | ||||
\(333\) | −3.04122e6 | − | 235852.i | −1.50293 | − | 0.116554i | ||||
\(334\) | −1.62515e6 | − | 1.18074e6i | −0.797129 | − | 0.579148i | ||||
\(335\) | 119153. | − | 38715.2i | 0.0580088 | − | 0.0188482i | ||||
\(336\) | 532.649 | − | 13757.2i | 0.000257391 | − | 0.00664788i | ||||
\(337\) | −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 | ||||
\(339\) | 1.34693e6 | − | 1.71058e6i | 0.636569 | − | 0.808433i | ||||
\(340\) | 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 | ||||
\(345\) | −3.15162e6 | + | 2.10845e6i | −1.42556 | + | 0.953708i | ||||
\(346\) | −2.15152e6 | − | 6.62170e6i | −0.966174 | − | 2.97358i | ||||
\(347\) | 1.31920e6 | + | 4.06008e6i | 0.588149 | + | 1.81014i | 0.586239 | + | 0.810138i | \(0.300608\pi\) |
0.00190977 | + | 0.999998i | \(0.499392\pi\) | |||||||
\(348\) | −5.02945e6 | + | 3.36473e6i | −2.22624 | + | 1.48937i | ||||
\(349\) | −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 | \(-0.804826\pi\) | ||
0.817835 | − | 0.575453i | \(-0.195174\pi\) | |||||||
\(354\) | 3.62254e6 | − | 4.60058e6i | 1.53640 | − | 1.95121i | ||||
\(355\) | 419094. | − | 304489.i | 0.176498 | − | 0.128233i | ||||
\(356\) | 137527. | − | 189289.i | 0.0575125 | − | 0.0791591i | ||||
\(357\) | 21714.0 | − | 560828.i | 0.00901715 | − | 0.232895i | ||||
\(358\) | −690805. | + | 224456.i | −0.284871 | + | 0.0925601i | ||||
\(359\) | −1.69085e6 | − | 1.22847e6i | −0.692417 | − | 0.503071i | 0.185037 | − | 0.982732i | \(-0.440760\pi\) |
−0.877454 | + | 0.479661i | \(0.840760\pi\) | |||||||
\(360\) | 184766. | − | 2.38249e6i | 0.0751391 | − | 0.968890i | ||||
\(361\) | 740160. | − | 2.27798e6i | 0.298922 | − | 0.919987i | ||||
\(362\) | 4.38074e6 | 1.75702 | ||||||||
\(363\) | 2.51042e6 | + | 24097.1i | 0.999954 | + | 0.00959838i | ||||
\(364\) | 418701. | 0.165635 | ||||||||
\(365\) | 617259. | − | 1.89973e6i | 0.242513 | − | 0.746379i | ||||
\(366\) | −6.26515e6 | + | 1.77082e6i | −2.44472 | + | 0.690991i | ||||
\(367\) | 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 | ||||
\(369\) | 877434. | − | 2.12518e6i | 0.335466 | − | 0.812512i | ||||
\(370\) | 3.76750e6 | − | 5.18552e6i | 1.43070 | − | 1.96919i | ||||
\(371\) | −265946. | + | 193221.i | −0.100313 | + | 0.0728819i | ||||
\(372\) | −1.90560e6 | − | 1.50049e6i | −0.713962 | − | 0.562181i | ||||
\(373\) | 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 | ||||
\(378\) | −96093.4 | + | 823990.i | −0.0345911 | + | 0.296615i | ||||
\(379\) | 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 | ||||
\(381\) | 814308. | + | 1.21719e6i | 0.287393 | + | 0.429582i | ||||
\(382\) | 2.62192e6 | + | 3.60876e6i | 0.919306 | + | 1.26532i | ||||
\(383\) | 1.58703e6 | + | 515657.i | 0.552825 | + | 0.179624i | 0.572090 | − | 0.820191i | \(-0.306133\pi\) |
−0.0192653 | + | 0.999814i | \(0.506133\pi\) | |||||||
\(384\) | 1.58767e6 | − | 4.31115e6i | 0.549454 | − | 1.49199i | ||||
\(385\) | −510140. | + | 174000.i | −0.175403 | + | 0.0598271i | ||||
\(386\) | 1.37125e6i | 0.468435i | ||||||||
\(387\) | 1.08971e6 | + | 1.77369e6i | 0.369857 | + | 0.602006i | ||||
\(388\) | 3.43437e6 | − | 2.49521e6i | 1.15816 | − | 0.841450i | ||||
\(389\) | −395860. | + | 544854.i | −0.132638 | + | 0.182560i | −0.870170 | − | 0.492752i | \(-0.835991\pi\) |
0.737532 | + | 0.675312i | \(0.235991\pi\) | |||||||
\(390\) | −2.70690e6 | − | 104805.i | −0.901179 | − | 0.0348916i | ||||
\(391\) | −6.20158e6 | + | 2.01502e6i | −2.05145 | + | 0.666556i | ||||
\(392\) | −2.30756e6 | − | 1.67654e6i | −0.758468 | − | 0.551060i | ||||
\(393\) | 334683. | + | 1.18411e6i | 0.109308 | + | 0.386732i | ||||
\(394\) | −1.18166e6 | + | 3.63678e6i | −0.383489 | + | 1.18026i | ||||
\(395\) | −2.06439e6 | −0.665733 | ||||||||
\(396\) | 2.67838e6 | + | 4.22060e6i | 0.858292 | + | 1.35250i | ||||
\(397\) | 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 | ||||
\(399\) | 28942.6 | + | 102399.i | 0.00910133 | + | 0.0322004i | ||||
\(400\) | −193.156 | − | 140.336i | −6.03613e−5 | − | 4.38550e-5i | ||||
\(401\) | 1.23476e6 | − | 401199.i | 0.383462 | − | 0.124594i | −0.110941 | − | 0.993827i | \(-0.535387\pi\) |
0.494404 | + | 0.869232i | \(0.335387\pi\) | |||||||
\(402\) | −318213. | − | 12320.5i | −0.0982093 | − | 0.00380244i | ||||
\(403\) | −607212. | + | 835756.i | −0.186242 | + | 0.256340i | ||||
\(404\) | −2.11857e6 | + | 1.53923e6i | −0.645788 | + | 0.469192i | ||||
\(405\) | 509454. | − | 3.26486e6i | 0.154336 | − | 0.989069i | ||||
\(406\) | 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 | ||||
\(411\) | 2.19260e6 | + | 3.27740e6i | 0.640257 | + | 0.957027i | ||||
\(412\) | 239561. | + | 737294.i | 0.0695303 | + | 0.213992i | ||||
\(413\) | −305327. | − | 939700.i | −0.0880826 | − | 0.271090i | ||||
\(414\) | 9.36933e6 | − | 2.26071e6i | 2.68663 | − | 0.648251i | ||||
\(415\) | −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 | \(-0.774225\pi\) | ||
0.758823 | − | 0.651297i | \(-0.225775\pi\) | |||||||
\(420\) | −843179. | − | 663928.i | −0.233237 | − | 0.183653i | ||||
\(421\) | 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 | ||||
\(423\) | 3.02013e6 | + | 1.24693e6i | 0.820680 | + | 0.338839i | ||||
\(424\) | −2.28909e6 | + | 743771.i | −0.618370 | + | 0.200921i | ||||
\(425\) | −7874.20 | − | 5720.94i | −0.00211463 | − | 0.00153637i | ||||
\(426\) | −1.26709e6 | + | 358138.i | −0.338285 | + | 0.0956151i | ||||
\(427\) | −339480. | + | 1.04481e6i | −0.0901042 | + | 0.277312i | ||||
\(428\) | 7.32542e6 | 1.93296 | ||||||||
\(429\) | 1.75216e6 | − | 1.20948e6i | 0.459654 | − | 0.317288i | ||||
\(430\) | −4.37423e6 | −1.14086 | ||||||||
\(431\) | −1.74469e6 | + | 5.36960e6i | −0.452402 | + | 1.39235i | 0.421756 | + | 0.906710i | \(0.361414\pi\) |
−0.874158 | + | 0.485642i | \(0.838586\pi\) | |||||||
\(432\) | 58140.0 | − | 126686.i | 0.0149888 | − | 0.0326603i | ||||
\(433\) | −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 | ||||
\(435\) | 255581. | − | 6.60115e6i | 0.0647599 | − | 1.67262i | ||||
\(436\) | 2.79676e6 | − | 3.84941e6i | 0.704595 | − | 0.969791i | ||||
\(437\) | 1.00019e6 | − | 726681.i | 0.250541 | − | 0.182029i | ||||
\(438\) | −3.14102e6 | + | 3.98905e6i | −0.782321 | + | 0.993537i | ||||
\(439\) | 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 | 0.936650 | − | 0.350267i | \(-0.113909\pi\) |
−0.622564 | + | 0.782569i | \(0.713909\pi\) | |||||||
\(444\) | −8.33678e6 | + | 5.57735e6i | −2.00697 | + | 1.34267i | ||||
\(445\) | 78932.4 | + | 242929.i | 0.0188954 | + | 0.0581539i | ||||
\(446\) | −1.83575e6 | − | 5.64986e6i | −0.436995 | − | 1.34493i | ||||
\(447\) | −2.76680e6 | + | 1.85101e6i | −0.654952 | + | 0.438166i | ||||
\(448\) | −750488. | − | 1.03296e6i | −0.176664 | − | 0.243158i | ||||
\(449\) | −6.51034e6 | − | 2.11534e6i | −1.52401 | − | 0.495181i | −0.577099 | − | 0.816674i | \(-0.695815\pi\) |
−0.946912 | + | 0.321493i | \(0.895815\pi\) | |||||||
\(450\) | 10950.1 | + | 9330.65i | 0.00254910 | + | 0.00217210i | ||||
\(451\) | −3.62793e6 | − | 1.12070e6i | −0.839882 | − | 0.259446i | ||||
\(452\) | − | 7.15930e6i | − | 1.64826i | ||||||
\(453\) | −2.99955e6 | + | 3.80939e6i | −0.686769 | + | 0.872188i | ||||
\(454\) | −811190. | + | 589364.i | −0.184707 | + | 0.134197i | ||||
\(455\) | −268675. | + | 369800.i | −0.0608414 | + | 0.0837410i | ||||
\(456\) | −30143.2 | + | 778537.i | −0.00678855 | + | 0.175334i | ||||
\(457\) | 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 | ||||
\(459\) | 2.37014e6 | − | 5.16450e6i | 0.525100 | − | 1.14419i | ||||
\(460\) | −3.85303e6 | + | 1.18584e7i | −0.849001 | + | 2.61296i | ||||
\(461\) | 4.71411e6 | 1.03311 | 0.516557 | − | 0.856253i | \(-0.327214\pi\) | ||||
0.516557 | + | 0.856253i | \(0.327214\pi\) | |||||||
\(462\) | 1.36963e6 | + | 33081.0i | 0.298538 | + | 0.00721063i | ||||
\(463\) | −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 | ||||
\(465\) | 2.54805e6 | − | 720196.i | 0.546481 | − | 0.154461i | ||||
\(466\) | −1.56742e6 | − | 1.13880e6i | −0.334365 | − | 0.242930i | ||||
\(467\) | −1.46286e6 | + | 475311.i | −0.310391 | + | 0.100852i | −0.460070 | − | 0.887882i | \(-0.652176\pi\) |
0.149679 | + | 0.988735i | \(0.452176\pi\) | |||||||
\(468\) | 3.91833e6 | + | 1.61778e6i | 0.826964 | + | 0.341433i | ||||
\(469\) | −31584.4 | + | 43472.2i | −0.00663042 | + | 0.00912599i | ||||
\(470\) | −5.55452e6 | + | 4.03560e6i | −1.15985 | + | 0.842681i | ||||
\(471\) | 5.04482e6 | + | 3.97234e6i | 1.04784 | + | 0.825077i | ||||
\(472\) | − | 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 | ||||
\(477\) | −3.23537e6 | + | 780656.i | −0.651071 | + | 0.157096i | ||||
\(478\) | 2.61588e6 | + | 8.05086e6i | 0.523659 | + | 1.61166i | ||||
\(479\) | −822748. | − | 2.53216e6i | −0.163843 | − | 0.504257i | 0.835106 | − | 0.550089i | \(-0.185406\pi\) |
−0.998949 | + | 0.0458317i | \(0.985406\pi\) | |||||||
\(480\) | 2.89052e6 | + | 4.32063e6i | 0.572629 | + | 0.855940i | ||||
\(481\) | 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 | ||||||||
\(486\) | −4.08301e6 | + | 7.33986e6i | −0.784133 | + | 1.40960i | ||||
\(487\) | 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 | ||||
\(489\) | 5.05460e6 | + | 195703.i | 0.955906 | + | 0.0370105i | ||||
\(490\) | 7.88209e6 | − | 2.56105e6i | 1.48303 | − | 0.481867i | ||||
\(491\) | −8.38797e6 | − | 6.09421e6i | −1.57019 | − | 1.14081i | −0.926972 | − | 0.375131i | \(-0.877598\pi\) |
−0.643221 | − | 0.765680i | \(-0.722402\pi\) | |||||||
\(492\) | −2.05635e6 | − | 7.27534e6i | −0.382987 | − | 1.35500i | ||||
\(493\) | 3.51051e6 | − | 1.08042e7i | 0.650509 | − | 2.00206i | ||||
\(494\) | 883222. | 0.162837 | ||||||||
\(495\) | −5.44634e6 | − | 342737.i | −0.999061 | − | 0.0628707i | ||||
\(496\) | 111697. | 0.0203863 | ||||||||
\(497\) | −68657.9 | + | 211307.i | −0.0124681 | + | 0.0383728i | ||||
\(498\) | 251414. | + | 889502.i | 0.0454273 | + | 0.160721i | ||||
\(499\) | 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 | ||||
\(501\) | −3.42925e6 | − | 132773.i | −0.610386 | − | 0.0236328i | ||||
\(502\) | −3.26680e6 | + | 4.49636e6i | −0.578580 | + | 0.796347i | ||||
\(503\) | 2.03741e6 | − | 1.48027e6i | 0.359053 | − | 0.260867i | −0.393604 | − | 0.919280i | \(-0.628772\pi\) |
0.752657 | + | 0.658413i | \(0.228772\pi\) | |||||||
\(504\) | 536515. | + | 873270.i | 0.0940817 | + | 0.153134i | ||||
\(505\) | − | 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 | \(0.0428337\pi\) |
−0.178629 | + | 0.983916i | \(0.557166\pi\) | |||||||
\(510\) | 6.63936e6 | + | 9.92423e6i | 1.13032 | + | 1.68955i | ||||
\(511\) | 264742. | + | 814791.i | 0.0448508 | + | 0.138036i | ||||
\(512\) | 131708. | + | 405356.i | 0.0222043 | + | 0.0683379i | ||||
\(513\) | −124795. | + | 1.07011e6i | −0.0209365 | + | 0.179528i | ||||
\(514\) | 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 | ||||||||
\(519\) | −9.34526e6 | − | 7.35855e6i | −1.52290 | − | 1.19915i | ||||
\(520\) | −2.70762e6 | + | 1.96720e6i | −0.439116 | + | 0.319036i | ||||
\(521\) | 942849. | − | 1.29772e6i | 0.152177 | − | 0.209453i | −0.726122 | − | 0.687566i | \(-0.758679\pi\) |
0.878298 | + | 0.478113i | \(0.158679\pi\) | |||||||
\(522\) | −6.40807e6 | + | 1.55206e7i | −1.02932 | + | 2.49306i | ||||
\(523\) | 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 | ||||
\(525\) | 2335.99 | − | 660.259i | 0.000369890 | − | 0.000104548i | ||||
\(526\) | 1.06670e6 | − | 3.28297e6i | 0.168104 | − | 0.517371i | ||||
\(527\) | 4.55345e6 | 0.714190 | ||||||||
\(528\) | −217153. | − | 76401.9i | −0.0338986 | − | 0.0119267i | ||||
\(529\) | −1.24587e7 | −1.93569 | ||||||||
\(530\) | 2.16112e6 | − | 6.65125e6i | 0.334187 | − | 1.02852i | ||||
\(531\) | 773479. | − | 9.97372e6i | 0.119045 | − | 1.53504i | ||||
\(532\) | 283080. | + | 205670.i | 0.0433640 | + | 0.0315058i | ||||
\(533\) | −3.06252e6 | + | 995073.i | −0.466940 | + | 0.151718i | ||||
\(534\) | 25118.9 | − | 648771.i | 0.00381196 | − | 0.0984550i | ||||
\(535\) | −4.70063e6 | + | 6.46986e6i | −0.710021 | + | 0.977261i | ||||
\(536\) | −318297. | + | 231257.i | −0.0478543 | + | 0.0347682i | ||||
\(537\) | −767676. | + | 974938.i | −0.114879 | + | 0.145895i | ||||
\(538\) | − | 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 | ||||
\(543\) | 6.22035e6 | − | 4.16145e6i | 0.905348 | − | 0.605683i | ||||
\(544\) | 2.76243e6 | + | 8.50190e6i | 0.400216 | + | 1.23174i | ||||
\(545\) | 1.60518e6 | + | 4.94024e6i | 0.231490 | + | 0.712454i | ||||
\(546\) | 965679. | − | 646045.i | 0.138628 | − | 0.0927430i | ||||
\(547\) | −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 | ||||||||
\(552\) | 7.36665e6 | − | 9.35555e6i | 1.02902 | − | 1.30684i | ||||
\(553\) | 716316. | − | 520434.i | 0.0996075 | − | 0.0723691i | ||||
\(554\) | −3.35136e6 | + | 4.61276e6i | −0.463924 | + | 0.638537i | ||||
\(555\) | 423650. | − | 1.09420e7i | 0.0583814 | − | 1.50787i | ||||
\(556\) | −1.36501e7 | + | 4.43520e6i | −1.87262 | + | 0.608452i | ||||
\(557\) | −2.44526e6 | − | 1.77659e6i | −0.333954 | − | 0.242632i | 0.408152 | − | 0.912914i | \(-0.366173\pi\) |
−0.742107 | + | 0.670282i | \(0.766173\pi\) | |||||||
\(558\) | −6.71024e6 | − | 520391.i | −0.912332 | − | 0.0707529i | ||||
\(559\) | 900942. | − | 2.77281e6i | 0.121946 | − | 0.375311i | ||||
\(560\) | 49423.0 | 0.00665976 | ||||||||
\(561\) | −8.85247e6 | − | 3.11460e6i | −1.18757 | − | 0.417826i | ||||
\(562\) | 18850.0 | 0.00251751 | ||||||||
\(563\) | −4.10093e6 | + | 1.26214e7i | −0.545270 | + | 1.67817i | 0.175077 | + | 0.984555i | \(0.443983\pi\) |
−0.720347 | + | 0.693614i | \(0.756017\pi\) | |||||||
\(564\) | 1.03391e7 | − | 2.92231e6i | 1.36863 | − | 0.386837i | ||||
\(565\) | 6.32314e6 | + | 4.59403e6i | 0.833320 | + | 0.605442i | ||||
\(566\) | −479367. | + | 155756.i | −0.0628966 | + | 0.0204363i | ||||
\(567\) | 646297. | + | 1.26129e6i | 0.0844257 | + | 0.164763i | ||||
\(568\) | −956198. | + | 1.31609e6i | −0.124359 | + | 0.171165i | ||||
\(569\) | 8.85568e6 | − | 6.43403e6i | 1.14668 | − | 0.833110i | 0.158642 | − | 0.987336i | \(-0.449289\pi\) |
0.988036 | + | 0.154226i | \(0.0492885\pi\) | |||||||
\(570\) | −1.77863e6 | − | 1.40051e6i | −0.229297 | − | 0.180551i | ||||
\(571\) | 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 | ||||
\(576\) | −3.03214e6 | − | 1.25665e7i | −0.380796 | − | 1.57818i | ||||
\(577\) | 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 | ||||
\(579\) | 1.30261e6 | + | 1.94709e6i | 0.161480 | + | 0.241373i | ||||
\(580\) | −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 | ||||||||
\(585\) | −3.94318e6 | + | 2.42259e6i | −0.476384 | + | 0.292678i | ||||
\(586\) | −1.68946e7 | + | 1.22747e7i | −2.03238 | + | 1.47661i | ||||
\(587\) | −4.56743e6 | + | 6.28653e6i | −0.547113 | + | 0.753036i | −0.989617 | − | 0.143730i | \(-0.954090\pi\) |
0.442504 | + | 0.896767i | \(0.354090\pi\) | |||||||
\(588\) | −1.29596e7 | − | 501768.i | −1.54579 | − | 0.0598493i | ||||
\(589\) | −821060. | + | 266779.i | −0.0975185 | + | 0.0316857i | ||||
\(590\) | 1.70060e7 | + | 1.23556e7i | 2.01128 | + | 1.46128i | ||||
\(591\) | 1.77685e6 | + | 6.28650e6i | 0.209259 | + | 0.740355i | ||||
\(592\) | 142741. | − | 439312.i | 0.0167396 | − | 0.0515192i | ||||
\(593\) | 881524. | 0.102943 | 0.0514716 | − | 0.998674i | \(-0.483609\pi\) | ||||
0.0514716 | + | 0.998674i | \(0.483609\pi\) | |||||||
\(594\) | 1.26896e7 | + | 5.60158e6i | 1.47565 | + | 0.651395i | ||||
\(595\) | 2.01478e6 | 0.233311 | ||||||||
\(596\) | −3.38258e6 | + | 1.04105e7i | −0.390061 | + | 1.20048i | ||||
\(597\) | 2.01550e6 | + | 7.13081e6i | 0.231444 | + | 0.818848i | ||||
\(598\) | −1.09207e7 | − | 7.93437e6i | −1.24882 | − | 0.907318i | ||||
\(599\) | −1.00761e7 | + | 3.27392e6i | −1.14743 | + | 0.372822i | −0.820174 | − | 0.572114i | \(-0.806123\pi\) |
−0.327254 | + | 0.944936i | \(0.606123\pi\) | |||||||
\(600\) | 17760.5 | + | 687.648i | 0.00201409 | + | 7.79809e-5i | ||||
\(601\) | −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 | ||||
\(603\) | −463545. | + | 284790.i | −0.0519157 | + | 0.0318956i | ||||
\(604\) | 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 | ||||
\(609\) | 1.57547e6 | + | 2.35494e6i | 0.172134 | + | 0.257298i | ||||
\(610\) | −7.22231e6 | − | 2.22280e7i | −0.785871 | − | 2.41866i | ||||
\(611\) | −1.41411e6 | − | 4.35219e6i | −0.153243 | − | 0.471634i | ||||
\(612\) | −4.38275e6 | − | 1.81640e7i | −0.473007 | − | 1.96034i | ||||
\(613\) | 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 | \(-0.835684\pi\) | ||
0.869694 | − | 0.493590i | \(-0.164316\pi\) | |||||||
\(618\) | 1.69014e6 | + | 1.33084e6i | 0.178013 | + | 0.140169i | ||||
\(619\) | 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 | ||||
\(621\) | 1.11563e7 | − | 1.21104e7i | 1.16089 | − | 1.26017i | ||||
\(622\) | −714760. | + | 232240.i | −0.0740772 | + | 0.0240691i | ||||
\(623\) | −88630.9 | − | 64394.1i | −0.00914882 | − | 0.00664701i | ||||
\(624\) | −187863. | + | 53098.7i | −0.0193143 | + | 0.00545911i | ||||
\(625\) | −3.02400e6 | + | 9.30690e6i | −0.309657 | + | 0.953027i | ||||
\(626\) | −2.19646e7 | −2.24020 | ||||||||
\(627\) | 1.77872e6 | + | 42961.8i | 0.180692 | + | 0.00436429i | ||||
\(628\) | 2.11141e7 | 2.13636 | ||||||||
\(629\) | 5.81900e6 | − | 1.79090e7i | 0.586437 | − | 1.80487i | ||||
\(630\) | −2.96910e6 | − | 230259.i | −0.298040 | − | 0.0231135i | ||||
\(631\) | −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 | ||||
\(633\) | 589129. | − | 1.52160e7i | 0.0584388 | − | 1.50936i | ||||
\(634\) | −2.62729e6 | + | 3.61616e6i | −0.259589 | + | 0.357293i | ||||
\(635\) | −4.25313e6 | + | 3.09008e6i | −0.418576 | + | 0.304113i | ||||
\(636\) | −6.77051e6 | + | 8.59845e6i | −0.663710 | + | 0.842903i | ||||
\(637\) | 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 | 0.406398 | − | 0.913696i | \(-0.366785\pi\) |
−0.994561 | + | 0.104160i | \(0.966785\pi\) | |||||||
\(642\) | 1.68951e7 | − | 1.13029e7i | 1.61780 | − | 1.08231i | ||||
\(643\) | −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 | ||||
\(645\) | −6.21112e6 | + | 4.15527e6i | −0.587855 | + | 0.393278i | ||||
\(646\) | −2.28827e6 | − | 3.14953e6i | −0.215737 | − | 0.296937i | ||||
\(647\) | 4.92500e6 | + | 1.60023e6i | 0.462536 | + | 0.150287i | 0.531010 | − | 0.847366i | \(-0.321813\pi\) |
−0.0684733 | + | 0.997653i | \(0.521813\pi\) | |||||||
\(648\) | 1.64671e6 | + | 1.02453e7i | 0.154057 | + | 0.958490i | ||||
\(649\) | −1.65192e7 | + | 240370.i | −1.53949 | + | 0.0224011i | ||||
\(650\) | − | 20148.7i | − | 0.00187052i | ||||||
\(651\) | −702576. | + | 892261.i | −0.0649742 | + | 0.0825163i | ||||
\(652\) | 1.34567e7 | − | 9.77684e6i | 1.23971 | − | 0.900699i | ||||
\(653\) | 1.65998e6 | − | 2.28476e6i | 0.152342 | − | 0.209680i | −0.726024 | − | 0.687669i | \(-0.758634\pi\) |
0.878366 | + | 0.477989i | \(0.158634\pi\) | |||||||
\(654\) | 510822. | − | 1.31935e7i | 0.0467009 | − | 1.20619i | ||||
\(655\) | −4.20106e6 | + | 1.36501e6i | −0.382610 | + | 0.124317i | ||||
\(656\) | 281676. | + | 204650.i | 0.0255559 | + | 0.0185674i | ||||
\(657\) | −670665. | + | 8.64797e6i | −0.0606167 | + | 0.781629i | ||||
\(658\) | 909969. | − | 2.80060e6i | 0.0819335 | − | 0.252165i | ||||
\(659\) | 4.36667e6 | 0.391685 | 0.195842 | − | 0.980635i | \(-0.437256\pi\) | ||||
0.195842 | + | 0.980635i | \(0.437256\pi\) | |||||||
\(660\) | −1.47678e7 | + | 1.01939e7i | −1.31965 | + | 0.910920i | ||||
\(661\) | −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 | ||||
\(663\) | −7.65842e6 | + | 2.16462e6i | −0.676636 | + | 0.191249i | ||||
\(664\) | 923902. | + | 671254.i | 0.0813216 | + | 0.0590836i | ||||
\(665\) | −363297. | + | 118042.i | −0.0318572 | + | 0.0103510i | ||||
\(666\) | −1.06220e7 | + | 2.57268e7i | −0.927939 | + | 2.24751i | ||||
\(667\) | 1.93490e7 | − | 2.66317e7i | 1.68401 | − | 2.31784i | ||||
\(668\) | −9.12955e6 | + | 6.63301e6i | −0.791605 | + | 0.575135i | ||||
\(669\) | −7.97369e6 | − | 6.27856e6i | −0.688801 | − | 0.542369i | ||||
\(670\) | − | 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 | ||||
\(675\) | 24412.0 | + | 2846.92i | 0.00206226 | + | 0.000240500i | ||||
\(676\) | 4.04657e6 | + | 1.24541e7i | 0.340581 | + | 1.04820i | ||||
\(677\) | 2.22597e6 | + | 6.85082e6i | 0.186658 | + | 0.574475i | 0.999973 | − | 0.00734920i | \(-0.00233934\pi\) |
−0.813315 | + | 0.581824i | \(0.802339\pi\) | |||||||
\(678\) | −1.10466e7 | − | 1.65120e7i | −0.922900 | − | 1.37951i | ||||
\(679\) | −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 | \(-0.799854\pi\) | ||
0.808748 | − | 0.588155i | \(-0.200146\pi\) | |||||||
\(684\) | 1.85448e6 | + | 3.01848e6i | 0.151559 | + | 0.246688i | ||||
\(685\) | −1.14519e7 | + | 8.32031e6i | −0.932507 | + | 0.677506i | ||||
\(686\) | −4.25283e6 | + | 5.85351e6i | −0.345038 | + | 0.474905i | ||||
\(687\) | 7.89249e6 | + | 305579.i | 0.638002 | + | 0.0247020i | ||||
\(688\) | −299806. | + | 97412.9i | −0.0241473 | + | 0.00784595i | ||||
\(689\) | 3.77109e6 | + | 2.73986e6i | 0.302635 | + | 0.219877i | ||||
\(690\) | 9.41071e6 | + | 3.32950e7i | 0.752488 | + | 2.66230i | ||||
\(691\) | 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 | ||||||||
\(693\) | 1.97621e6 | − | 1.25410e6i | 0.156315 | − | 0.0991971i | ||||
\(694\) | 3.89533e7 | 3.07005 | ||||||||
\(695\) | 4.84192e6 | − | 1.49019e7i | 0.380238 | − | 1.17025i | ||||
\(696\) | 5.64253e6 | + | 1.99632e7i | 0.441520 | + | 1.56210i | ||||
\(697\) | 1.14828e7 | + | 8.34276e6i | 0.895296 | + | 0.650470i | ||||
\(698\) | −5.32396e6 | + | 1.72986e6i | −0.413615 | + | 0.134392i | ||||
\(699\) | −3.30742e6 | − | 128056.i | −0.256033 | − | 0.00991303i | ||||
\(700\) | 4691.88 | − | 6457.82i | 0.000361911 | − | 0.000498128i | ||||
\(701\) | 5.44570e6 | − | 3.95653e6i | 0.418561 | − | 0.304102i | −0.358498 | − | 0.933531i | \(-0.616711\pi\) |
0.777059 | + | 0.629428i | \(0.216711\pi\) | |||||||
\(702\) | 1.15333e7 | − | 2.31468e6i | 0.883306 | − | 0.177275i | ||||
\(703\) | 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 | ||||
\(708\) | −1.82910e7 | − | 2.73405e7i | −1.37137 | − | 2.04986i | ||||
\(709\) | −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 | ||||
\(711\) | 8.71436e6 | − | 2.10267e6i | 0.646489 | − | 0.155990i | ||||
\(712\) | −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 | ||||||||
\(717\) | 1.13622e7 | + | 8.94674e6i | 0.825402 | + | 0.649930i | ||||
\(718\) | −1.54284e7 | + | 1.12094e7i | −1.11689 | + | 0.811465i | ||||
\(719\) | −4.31233e6 | + | 5.93542e6i | −0.311093 | + | 0.428183i | −0.935722 | − | 0.352739i | \(-0.885250\pi\) |
0.624629 | + | 0.780922i | \(0.285250\pi\) | |||||||
\(720\) | 462515. | + | 190961.i | 0.0332502 | + | 0.0137282i | ||||
\(721\) | 345223. | − | 112170.i | 0.0247322 | − | 0.00803597i | ||||
\(722\) | −1.76814e7 | − | 1.28463e7i | −1.26233 | − | 0.917138i | ||||
\(723\) | −3.58375e6 | + | 1.01293e6i | −0.254972 | + | 0.0720668i | ||||
\(724\) | 7.60474e6 | − | 2.34050e7i | 0.539185 | − | 1.65944i | ||||
\(725\) | 49135.3 | 0.00347175 | ||||||||
\(726\) | 7.28767e6 | − | 2.17176e7i | 0.513153 | − | 1.52922i | ||||
\(727\) | −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 | ||||
\(729\) | 1.17485e6 | + | 1.43007e7i | 0.0818770 | + | 0.996642i | ||||
\(730\) | −1.47455e7 | − | 1.07132e7i | −1.02412 | − | 0.744068i | ||||
\(731\) | −1.22219e7 | + | 3.97114e6i | −0.845952 | + | 0.274866i | ||||
\(732\) | −1.41501e6 | + | 3.65469e7i | −0.0976075 | + | 2.52100i | ||||
\(733\) | −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 | ||||
\(735\) | 8.75919e6 | − | 1.11241e7i | 0.598061 | − | 0.759529i | ||||
\(736\) | 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 | ||||
\(741\) | 1.25412e6 | − | 839010.i | 0.0839058 | − | 0.0561334i | ||||
\(742\) | 926903. | + | 2.85271e6i | 0.0618051 | + | 0.190217i | ||||
\(743\) | −4.94285e6 | − | 1.52125e7i | −0.328477 | − | 1.01095i | −0.969846 | − | 0.243717i | \(-0.921633\pi\) |
0.641369 | − | 0.767232i | \(-0.278367\pi\) | |||||||
\(744\) | −6.91119e6 | + | 4.62363e6i | −0.457742 | + | 0.306232i | ||||
\(745\) | −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 | ||||||
\(750\) | 1.53562e7 | − | 1.95021e7i | 0.996851 | − | 1.26599i | ||||
\(751\) | −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 | ||||
\(753\) | −367347. | + | 9.48781e6i | −0.0236096 | + | 0.609787i | ||||
\(754\) | 2.23662e7 | − | 7.26721e6i | 1.43273 | − | 0.465521i | ||||
\(755\) | −1.40814e7 | − | 1.02307e7i | −0.899037 | − | 0.653188i | ||||
\(756\) | 4.23552e6 | + | 1.94380e6i | 0.269527 | + | 0.123694i | ||||
\(757\) | −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 | ||||||||
\(759\) | −2.16074e7 | − | 1.65103e7i | −1.36144 | − | 1.04028i | ||||
\(760\) | −2.79690e6 | −0.175648 | ||||||||
\(761\) | −153717. | + | 473093.i | −0.00962191 | + | 0.0296132i | −0.955752 | − | 0.294173i | \(-0.904956\pi\) |
0.946130 | + | 0.323786i | \(0.104956\pi\) | |||||||
\(762\) | 1.28589e7 | − | 3.63453e6i | 0.802264 | − | 0.226757i | ||||
\(763\) | −1.80241e6 | − | 1.30953e6i | −0.112084 | − | 0.0814336i | ||||
\(764\) | 2.38320e7 | − | 7.74350e6i | 1.47716 | − | 0.479959i | ||||
\(765\) | 1.88549e7 | + | 7.78472e6i | 1.16485 | + | 0.480938i | ||||
\(766\) | 8.94979e6 | − | 1.23183e7i | 0.551113 | − | 0.758542i | ||||
\(767\) | −1.13348e7 | + | 8.23522e6i | −0.695706 | + | 0.505460i | ||||
\(768\) | −1.20865e7 | − | 9.51703e6i | −0.739430 | − | 0.582235i | ||||
\(769\) | − | 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 | 0.386299 | − | 0.922374i | \(-0.373753\pi\) |
−0.996602 | + | 0.0823627i | \(0.973753\pi\) | |||||||
\(774\) | 1.84648e7 | − | 4.45534e6i | 1.10788 | − | 0.267318i | ||||
\(775\) | 6085.94 | + | 18730.6i | 0.000363977 | + | 0.00112021i | ||||
\(776\) | −4.49730e6 | − | 1.38413e7i | −0.268100 | − | 0.825128i | ||||
\(777\) | 2.61148e6 | + | 3.90353e6i | 0.155180 | + | 0.231956i | ||||
\(778\) | 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 | ||||||||
\(783\) | 5.64466e6 | + | 2.81255e7i | 0.329028 | + | 1.63944i | ||||
\(784\) | 483198. | − | 351064.i | 0.0280760 | − | 0.0203984i | ||||
\(785\) | −1.35487e7 | + | 1.86481e7i | −0.784734 | + | 1.08009i | ||||
\(786\) | 1.12194e7 | + | 434391.i | 0.647761 | + | 0.0250798i | ||||
\(787\) | 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 | ||||
\(789\) | −1.60399e6 | − | 5.67489e6i | −0.0917294 | − | 0.324538i | ||||
\(790\) | −5.82091e6 | + | 1.79149e7i | −0.331836 | + | 1.02128i | ||||
\(791\) | −3.35220e6 | −0.190497 | ||||||||
\(792\) | 1.65988e7 | − | 4.26159e6i | 0.940296 | − | 0.241412i | ||||
\(793\) | 1.55778e7 | 0.879676 | ||||||||
\(794\) | 4.34147e6 | − | 1.33617e7i | 0.244391 | − | 0.752159i | ||||
\(795\) | −3.24966e6 | − | 1.14973e7i | −0.182356 | − | 0.645174i | ||||
\(796\) | 1.97131e7 | + | 1.43224e7i | 1.10274 | + | 0.801184i | ||||
\(797\) | −6.65625e6 | + | 2.16275e6i | −0.371179 | + | 0.120603i | −0.488666 | − | 0.872471i | \(-0.662516\pi\) |
0.117487 | + | 0.993074i | \(0.462516\pi\) | |||||||
\(798\) | 970229. | + | 37565.1i | 0.0539345 | + | 0.00208822i | ||||
\(799\) | −1.18560e7 | + | 1.63184e7i | −0.657010 | + | 0.904296i | ||||
\(800\) | −31280.4 | + | 22726.5i | −0.00172801 | + | 0.00125548i | ||||
\(801\) | −580628. | − | 945072.i | −0.0319754 | − | 0.0520456i | ||||
\(802\) | − | 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 | ||||
\(807\) | −1.55155e7 | − | 2.31918e7i | −0.838650 | − | 1.25358i | ||||
\(808\) | 2.77427e6 | + | 8.53832e6i | 0.149493 | + | 0.460091i | ||||
\(809\) | 6.45301e6 | + | 1.98603e7i | 0.346650 | + | 1.06688i | 0.960695 | + | 0.277607i | \(0.0895414\pi\) |
−0.614045 | + | 0.789271i | \(0.710459\pi\) | |||||||
\(810\) | −2.68961e7 | − | 1.36269e7i | −1.44038 | − | 0.729767i | ||||
\(811\) | −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 | ||||||||
\(816\) | 676066. | + | 532341.i | 0.0355438 | + | 0.0279875i | ||||
\(817\) | 1.97115e6 | − | 1.43212e6i | 0.103315 | − | 0.0750628i | ||||
\(818\) | −2.09020e6 | + | 2.87691e6i | −0.109220 | + | 0.150329i | ||||
\(819\) | 757494. | − | 1.83468e6i | 0.0394611 | − | 0.0955764i | ||||
\(820\) | 2.58120e7 | − | 8.38682e6i | 1.34056 | − | 0.435575i | ||||
\(821\) | 4.03083e6 | + | 2.92857e6i | 0.208707 | + | 0.151634i | 0.687228 | − | 0.726442i | \(-0.258827\pi\) |
−0.478522 | + | 0.878076i | \(0.658827\pi\) | |||||||
\(822\) | 3.46238e7 | − | 9.78629e6i | 1.78729 | − | 0.505171i | ||||
\(823\) | −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 | ||||||||
\(825\) | 980.075 | − | 40577.5i | 5.01331e−5 | − | 0.00207563i | ||||
\(826\) | −9.01568e6 | −0.459778 | ||||||||
\(827\) | 1.99362e6 | − | 6.13574e6i | 0.101363 | − | 0.311963i | −0.887497 | − | 0.460814i | \(-0.847557\pi\) |
0.988860 | + | 0.148851i | \(0.0475575\pi\) | |||||||
\(828\) | 4.18640e6 | − | 5.39821e7i | 0.212210 | − | 2.73636i | ||||
\(829\) | −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 | ||||
\(831\) | −376856. | + | 9.73341e6i | −0.0189310 | + | 0.488948i | ||||
\(832\) | −1.06419e7 | + | 1.46473e7i | −0.532978 | + | 0.733581i | ||||
\(833\) | 1.96981e7 | − | 1.43115e7i | 0.983583 | − | 0.714615i | ||||
\(834\) | −2.46389e7 | + | 3.12910e7i | −1.22661 | + | 1.55777i | ||||
\(835\) | − | 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 | 0.948391 | − | 0.317105i | \(-0.102711\pi\) |
−0.594653 | + | 0.803982i | \(0.702711\pi\) | |||||||
\(840\) | −3.05802e6 | + | 2.04583e6i | −0.149535 | + | 0.100040i | ||||
\(841\) | 1.13838e7 | + | 3.50357e7i | 0.555004 | + | 1.70813i | ||||
\(842\) | −7.12471e6 | − | 2.19276e7i | −0.346328 | − | 1.06589i | ||||
\(843\) | 26765.8 | − | 17906.4i | 0.00129721 | − | 0.000867841i | ||||
\(844\) | −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 | ||||||
\(849\) | −532710. | + | 676534.i | −0.0253642 | + | 0.0322122i | ||||
\(850\) | −71849.3 | + | 52201.6i | −0.00341095 | + | 0.00247820i | ||||
\(851\) | 3.20728e7 | − | 4.41444e7i | 1.51814 | − | 2.08955i | ||||
\(852\) | −286178. | + | 7.39140e6i | −0.0135063 | + | 0.348841i | ||||
\(853\) | −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 | ||||
\(855\) | −3.85594e6 | − | 299035.i | −0.180391 | − | 0.0139896i | ||||
\(856\) | 7.76060e6 | − | 2.38847e7i | 0.362002 | − | 1.11413i | ||||
\(857\) | 7.65403e6 | 0.355990 | 0.177995 | − | 0.984031i | \(-0.443039\pi\) | ||||
0.177995 | + | 0.984031i | \(0.443039\pi\) | |||||||
\(858\) | −5.55537e6 | − | 1.86157e7i | −0.257629 | − | 0.863298i | ||||
\(859\) | 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 | ||||
\(861\) | −3.40653e6 | + | 962844.i | −0.156605 | + | 0.0442637i | ||||
\(862\) | 4.16782e7 | + | 3.02810e7i | 1.91047 | + | 1.38804i | ||||
\(863\) | −2.28828e7 | + | 7.43507e6i | −1.04588 | + | 0.339827i | −0.781050 | − | 0.624468i | \(-0.785316\pi\) |
−0.264830 | + | 0.964295i | \(0.585316\pi\) | |||||||
\(864\) | −1.66024e7 | − | 1.52944e7i | −0.756635 | − | 0.697025i | ||||
\(865\) | 2.50981e7 | − | 3.45446e7i | 1.14052 | − | 1.56979i | ||||
\(866\) | −3.89770e7 | + | 2.83184e7i | −1.76609 | + | 1.28314i | ||||
\(867\) | 1.01710e7 | + | 8.00873e6i | 0.459531 | + | 0.361839i | ||||
\(868\) | 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 | ||||
\(873\) | −4.72033e6 | − | 1.95631e7i | −0.209622 | − | 0.868763i | ||||
\(874\) | −3.48596e6 | − | 1.07287e7i | −0.154363 | − | 0.475082i | ||||
\(875\) | −1.29430e6 | − | 3.98345e6i | −0.0571499 | − | 0.175889i | ||||
\(876\) | 1.58597e7 | + | 2.37063e7i | 0.698286 | + | 1.04377i | ||||
\(877\) | −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 | \(-0.876931\pi\) | ||
0.926184 | − | 0.377071i | \(-0.123069\pi\) | |||||||
\(882\) | −3.06639e7 | + | 1.88391e7i | −1.32726 | + | 0.815434i | ||||
\(883\) | 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 | ||||
\(885\) | 3.58844e7 | + | 1.38936e6i | 1.54010 | + | 0.0596291i | ||||
\(886\) | 1.91540e7 | − | 6.22353e6i | 0.819740 | − | 0.266350i | ||||
\(887\) | 1.54032e7 | + | 1.11911e7i | 0.657357 | + | 0.477598i | 0.865769 | − | 0.500443i | \(-0.166830\pi\) |
−0.208412 | + | 0.978041i | \(0.566830\pi\) | |||||||
\(888\) | 9.35302e6 | + | 3.30909e7i | 0.398033 | + | 1.40824i | ||||
\(889\) | 696767. | − | 2.14443e6i | 0.0295688 | − | 0.0910033i | ||||
\(890\) | 2.33071e6 | 0.0986310 | ||||||||
\(891\) | 2.33396e7 | − | 4.10054e6i | 0.984915 | − | 0.173040i | ||||
\(892\) | −3.33723e7 | −1.40435 | ||||||||
\(893\) | 1.18176e6 | − | 3.63710e6i | 0.0495909 | − | 0.152625i | ||||
\(894\) | 8.26166e6 | + | 2.92297e7i | 0.345719 | + | 1.22315i | ||||
\(895\) | −3.60385e6 | − | 2.61835e6i | −0.150386 | − | 0.109262i | ||||
\(896\) | −6.72734e6 | + | 2.18585e6i | −0.279945 | + | 0.0909598i | ||||
\(897\) | −2.30439e7 | − | 892208.i | −0.956257 | − | 0.0370241i | ||||
\(898\) | −3.67140e7 | + | 5.05325e7i | −1.51929 | + | 2.09113i | ||||
\(899\) | −1.85970e7 | + | 1.35115e7i | −0.767437 | + | 0.557576i | ||||
\(900\) | 68859.7 | − | 42305.6i | 0.00283373 | − | 0.00174097i | ||||
\(901\) | − | 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 | ||||
\(906\) | 2.46003e7 | + | 3.67715e7i | 0.995681 | + | 1.48830i | ||||
\(907\) | 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 | ||||
\(909\) | 2.91185e6 | + | 1.20679e7i | 0.116885 | + | 0.484422i | ||||
\(910\) | 2.45157e6 | + | 3.37429e6i | 0.0981386 | + | 0.135076i | ||||
\(911\) | −2.51576e6 | − | 817421.i | −0.100432 | − | 0.0326324i | 0.258370 | − | 0.966046i | \(-0.416815\pi\) |
−0.358802 | + | 0.933414i | \(0.616815\pi\) | |||||||
\(912\) | −153095. | − | 56380.2i | −0.00609499 | − | 0.00224460i | ||||
\(913\) | 1.50205e6 | − | 2.13195e6i | 0.0596360 | − | 0.0846449i | ||||
\(914\) | − | 2.02913e7i | − | 0.803422i | ||||||
\(915\) | −3.13705e7 | − | 2.47014e7i | −1.23871 | − | 0.975371i | ||||
\(916\) | 2.10119e7 | − | 1.52660e7i | 0.827419 | − | 0.601155i | ||||
\(917\) | 1.11359e6 | − | 1.53273e6i | 0.0437324 | − | 0.0601924i | ||||
\(918\) | −3.81348e7 | − | 3.51304e7i | −1.49353 | − | 1.37586i | ||||
\(919\) | −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 | ||||
\(921\) | −3.42914e7 | + | 9.69232e6i | −1.33210 | + | 0.376512i | ||||
\(922\) | 1.32922e7 | − | 4.09093e7i | 0.514957 | − | 1.58487i | ||||
\(923\) | 3.15051e6 | 0.121724 | ||||||||
\(924\) | 2.55436e6 | − | 7.26012e6i | 0.0984241 | − | 0.279746i | ||||
\(925\) | 81446.2 | 0.00312980 | ||||||||
\(926\) | −1.36511e7 | + | 4.20138e7i | −0.523168 | + | 1.61014i | ||||
\(927\) | 3.66411e6 | + | 284158.i | 0.140045 | + | 0.0108608i | ||||
\(928\) | −3.65100e7 | − | 2.65260e7i | −1.39169 | − | 1.01112i | ||||
\(929\) | 2.79786e7 | − | 9.09080e6i | 1.06362 | − | 0.345591i | 0.275621 | − | 0.961266i | \(-0.411117\pi\) |
0.788000 | + | 0.615675i | \(0.211117\pi\) | |||||||
\(930\) | 934754. | − | 2.41428e7i | 0.0354397 | − | 0.915335i | ||||
\(931\) | −2.71339e6 | + | 3.73467e6i | −0.102598 | + | 0.141214i | ||||
\(932\) | −8.80521e6 | + | 6.39736e6i | −0.332047 | + | 0.241247i | ||||
\(933\) | −794297. | + | 1.00875e6i | −0.0298730 | + | 0.0379383i | ||||
\(934\) | 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 | ||||
\(939\) | −3.11882e7 | + | 2.08651e7i | −1.15432 | + | 0.772248i | ||||
\(940\) | 1.19186e7 | + | 3.66818e7i | 0.439954 | + | 1.35404i | ||||
\(941\) | 6.47031e6 | + | 1.99136e7i | 0.238205 | + | 0.733120i | 0.996680 | + | 0.0814179i | \(0.0259448\pi\) |
−0.758475 | + | 0.651702i | \(0.774055\pi\) | |||||||
\(942\) | 4.86969e7 | − | 3.25785e7i | 1.78803 | − | 1.19620i | ||||
\(943\) | 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 | \(-0.800357\pi\) | ||
0.809676 | − | 0.586877i | \(-0.199643\pi\) | |||||||
\(948\) | 1.82361e7 | − | 2.31596e7i | 0.659040 | − | 0.836971i | ||||
\(949\) | 9.82813e6 | − | 7.14055e6i | 0.354246 | − | 0.257375i | ||||
\(950\) | 9897.19 | − | 13622.3i | 0.000355798 | − | 0.000489713i | ||||
\(951\) | −295435. | + | 7.63048e6i | −0.0105928 | + | 0.273590i | ||||
\(952\) | −6.01741e6 | + | 1.95517e6i | −0.215187 | + | 0.0699187i | ||||
\(953\) | −1.88267e7 | − | 1.36784e7i | −0.671494 | − | 0.487869i | 0.199031 | − | 0.979993i | \(-0.436221\pi\) |
−0.870525 | + | 0.492124i | \(0.836221\pi\) | |||||||
\(954\) | −2.34810e6 | + | 3.02779e7i | −0.0835308 | + | 1.07710i | ||||
\(955\) | −8.45361e6 | + | 2.60175e7i | −0.299939 | + | 0.923119i | ||||
\(956\) | 4.75544e7 | 1.68285 | ||||||||
\(957\) | 4.53968e7 | − | 1.35475e7i | 1.60231 | − | 0.478168i | ||||
\(958\) | −2.42941e7 | −0.855237 | ||||||||
\(959\) | 1.87611e6 | − | 5.77407e6i | 0.0658736 | − | 0.202738i | ||||
\(960\) | 4.46564e7 | − | 1.26220e7i | 1.56389 | − | 0.442027i | ||||
\(961\) | 1.57074e7 | + | 1.14121e7i | 0.548650 | + | 0.398618i | ||||
\(962\) | 3.70740e7 | − | 1.20461e7i | 1.29161 | − | 0.419670i | ||||
\(963\) | 1.32528e7 | − | 3.20988e7i | 0.460513 | − | 1.11538i | ||||
\(964\) | −7.19803e6 | + | 9.90723e6i | −0.249471 | + | 0.343368i | ||||
\(965\) | −6.80353e6 | + | 4.94306e6i | −0.235189 | + | 0.170875i | ||||
\(966\) | −1.16591e7 | − | 9.18047e6i | −0.401995 | − | 0.316535i | ||||
\(967\) | − | 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 | \(0.0559660\pi\) |
−0.137896 | + | 0.990447i | \(0.544034\pi\) | |||||||
\(972\) | 3.21268e7 | + | 3.45559e7i | 1.09069 | + | 1.17316i | ||||
\(973\) | 2.07670e6 | + | 6.39141e6i | 0.0703219 | + | 0.216429i | ||||
\(974\) | −6.97045e6 | − | 2.14528e7i | −0.235431 | − | 0.724581i | ||||
\(975\) | −19140.1 | − | 28609.8i | −0.000644811 | − | 0.000963835i | ||||
\(976\) | −990021. | − | 1.36265e6i | −0.0332675 | − | 0.0457888i | ||||
\(977\) | −3.43194e7 | − | 1.11510e7i | −1.15028 | − | 0.373748i | −0.329031 | − | 0.944319i | \(-0.606722\pi\) |
−0.821248 | + | 0.570571i | \(0.806722\pi\) | |||||||
\(978\) | 1.59506e7 | − | 4.33123e7i | 0.533250 | − | 1.44798i | ||||
\(979\) | −1.46614e6 | + | 1.09816e6i | −0.0488898 | + | 0.0366191i | ||||
\(980\) | − | 4.65575e7i | − | 1.54855i | ||||||
\(981\) | −1.18077e7 | − | 1.92191e7i | −0.391737 | − | 0.637619i | ||||
\(982\) | −7.65372e7 | + | 5.56075e7i | −2.53276 | + | 1.84016i | ||||
\(983\) | −7.89253e6 | + | 1.08631e7i | −0.260515 | + | 0.358568i | −0.919159 | − | 0.393887i | \(-0.871130\pi\) |
0.658644 | + | 0.752454i | \(0.271130\pi\) | |||||||
\(984\) | −2.58999e7 | − | 1.00279e6i | −0.852727 | − | 0.0330157i | ||||
\(985\) | −2.23037e7 | + | 7.24691e6i | −0.732464 | + | 0.237992i | ||||
\(986\) | −8.38613e7 | − | 6.09288e7i | −2.74707 | − | 1.99586i | ||||
\(987\) | −1.36831e6 | − | 4.84108e6i | −0.0447087 | − | 0.158179i | ||||
\(988\) | 1.53323e6 | − | 4.71879e6i | 0.0499706 | − | 0.153794i | ||||
\(989\) | −3.72379e7 | −1.21058 | ||||||||
\(990\) | −1.83312e7 | + | 4.62972e7i | −0.594432 | + | 1.50130i | ||||
\(991\) | 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 | ||||
\(993\) | −5.36879e6 | − | 1.89947e7i | −0.172784 | − | 0.611308i | ||||
\(994\) | 1.64014e6 | + | 1.19163e6i | 0.0526521 | + | 0.0382540i | ||||
\(995\) | −2.52992e7 | + | 8.22022e6i | −0.810120 | + | 0.263224i | ||||
\(996\) | 5.18879e6 | + | 200898.i | 0.165736 | + | 0.00641694i | ||||
\(997\) | −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 | ||||
\(999\) | 9.35655e6 | + | 4.66207e7i | 0.296621 | + | 1.47797i |
(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.2.16 | yes | 72 | |
3.2 | odd | 2 | inner | 33.6.f.a.2.3 | ✓ | 72 | |
11.6 | odd | 10 | inner | 33.6.f.a.17.3 | yes | 72 | |
33.17 | even | 10 | inner | 33.6.f.a.17.16 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
33.6.f.a.2.3 | ✓ | 72 | 3.2 | odd | 2 | inner | |
33.6.f.a.2.16 | yes | 72 | 1.1 | even | 1 | trivial | |
33.6.f.a.17.3 | yes | 72 | 11.6 | odd | 10 | inner | |
33.6.f.a.17.16 | yes | 72 | 33.17 | even | 10 | inner |