Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [32,6,Mod(5,32)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(32, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("32.5");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 32 = 2^{5} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 32.g (of order \(8\), 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: | \(5.13228223402\) |
Analytic rank: | \(0\) |
Dimension: | \(76\) |
Relative dimension: | \(19\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 5.17 | ||
Character | \(\chi\) | \(=\) | 32.5 |
Dual form | 32.6.g.a.13.17 |
$q$-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 \(\left(\mathbb{Z}/32\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(31\) |
\(\chi(n)\) | \(e\left(\frac{1}{8}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 4.94686 | + | 2.74382i | 0.874490 | + | 0.485044i | ||||
\(3\) | 6.19399 | + | 14.9536i | 0.397344 | + | 0.959274i | 0.988293 | + | 0.152565i | \(0.0487535\pi\) |
−0.590949 | + | 0.806709i | \(0.701247\pi\) | |||||||
\(4\) | 16.9429 | + | 27.1466i | 0.529464 | + | 0.848332i | ||||
\(5\) | −2.09949 | − | 0.869637i | −0.0375568 | − | 0.0155565i | 0.363826 | − | 0.931467i | \(-0.381470\pi\) |
−0.401383 | + | 0.915910i | \(0.631470\pi\) | |||||||
\(6\) | −10.3893 | + | 90.9686i | −0.117817 | + | 1.03161i | ||||
\(7\) | −63.4847 | − | 63.4847i | −0.489693 | − | 0.489693i | 0.418516 | − | 0.908209i | \(-0.362550\pi\) |
−0.908209 | + | 0.418516i | \(0.862550\pi\) | |||||||
\(8\) | 9.32842 | + | 180.779i | 0.0515327 | + | 0.998671i | ||||
\(9\) | −13.4180 | + | 13.4180i | −0.0552180 | + | 0.0552180i | ||||
\(10\) | −7.99975 | − | 10.0626i | −0.0252974 | − | 0.0318207i | ||||
\(11\) | −89.6819 | + | 216.511i | −0.223472 | + | 0.539509i | −0.995357 | − | 0.0962531i | \(-0.969314\pi\) |
0.771885 | + | 0.635762i | \(0.219314\pi\) | |||||||
\(12\) | −300.996 | + | 421.503i | −0.603404 | + | 0.844982i | ||||
\(13\) | 825.073 | − | 341.756i | 1.35405 | − | 0.560865i | 0.416631 | − | 0.909076i | \(-0.363211\pi\) |
0.937416 | + | 0.348211i | \(0.113211\pi\) | |||||||
\(14\) | −139.859 | − | 488.241i | −0.190709 | − | 0.665754i | ||||
\(15\) | − | 36.7815i | − | 0.0422086i | ||||||
\(16\) | −449.879 | + | 919.883i | −0.439335 | + | 0.898323i | ||||
\(17\) | − | 309.045i | − | 0.259358i | −0.991556 | − | 0.129679i | \(-0.958605\pi\) | ||
0.991556 | − | 0.129679i | \(-0.0413946\pi\) | |||||||
\(18\) | −103.193 | + | 29.5603i | −0.0750707 | + | 0.0215044i | ||||
\(19\) | 383.892 | − | 159.013i | 0.243964 | − | 0.101053i | −0.257351 | − | 0.966318i | \(-0.582850\pi\) |
0.501315 | + | 0.865265i | \(0.332850\pi\) | |||||||
\(20\) | −11.9636 | − | 71.7282i | −0.00668788 | − | 0.0400973i | ||||
\(21\) | 556.102 | − | 1342.55i | 0.275173 | − | 0.664327i | ||||
\(22\) | −1037.71 | + | 824.980i | −0.457110 | + | 0.363401i | ||||
\(23\) | 1577.64 | − | 1577.64i | 0.621853 | − | 0.621853i | −0.324152 | − | 0.946005i | \(-0.605079\pi\) |
0.946005 | + | 0.324152i | \(0.105079\pi\) | |||||||
\(24\) | −2645.52 | + | 1259.24i | −0.937524 | + | 0.446251i | ||||
\(25\) | −2206.06 | − | 2206.06i | −0.705938 | − | 0.705938i | ||||
\(26\) | 5019.24 | + | 573.233i | 1.45614 | + | 0.166302i | ||||
\(27\) | 3349.97 | + | 1387.60i | 0.884365 | + | 0.366316i | ||||
\(28\) | 647.783 | − | 2799.01i | 0.156147 | − | 0.674698i | ||||
\(29\) | −2629.22 | − | 6347.50i | −0.580540 | − | 1.40155i | −0.892324 | − | 0.451395i | \(-0.850927\pi\) |
0.311784 | − | 0.950153i | \(-0.399073\pi\) | |||||||
\(30\) | 100.922 | − | 181.953i | 0.0204730 | − | 0.0369110i | ||||
\(31\) | −1318.74 | −0.246465 | −0.123233 | − | 0.992378i | \(-0.539326\pi\) | ||||
−0.123233 | + | 0.992378i | \(0.539326\pi\) | |||||||
\(32\) | −4749.49 | + | 3316.15i | −0.819920 | + | 0.572478i | ||||
\(33\) | −3793.11 | −0.606333 | ||||||||
\(34\) | 847.964 | − | 1528.80i | 0.125800 | − | 0.226806i | ||||
\(35\) | 78.0768 | + | 188.494i | 0.0107734 | + | 0.0260092i | ||||
\(36\) | −591.591 | − | 136.914i | −0.0760791 | − | 0.0176072i | ||||
\(37\) | 4027.50 | + | 1668.25i | 0.483650 | + | 0.200335i | 0.611167 | − | 0.791502i | \(-0.290701\pi\) |
−0.127516 | + | 0.991836i | \(0.540701\pi\) | |||||||
\(38\) | 2335.37 | + | 266.716i | 0.262359 | + | 0.0299633i | ||||
\(39\) | 10221.0 | + | 10221.0i | 1.07605 | + | 1.07605i | ||||
\(40\) | 137.627 | − | 387.656i | 0.0136005 | − | 0.0383086i | ||||
\(41\) | −10736.0 | + | 10736.0i | −0.997427 | + | 0.997427i | −0.999997 | − | 0.00256976i | \(-0.999182\pi\) |
0.00256976 | + | 0.999997i | \(0.499182\pi\) | |||||||
\(42\) | 6434.68 | − | 5115.56i | 0.562864 | − | 0.447476i | ||||
\(43\) | −5996.71 | + | 14477.3i | −0.494586 | + | 1.19404i | 0.457776 | + | 0.889068i | \(0.348646\pi\) |
−0.952362 | + | 0.304969i | \(0.901354\pi\) | |||||||
\(44\) | −7397.02 | + | 1233.76i | −0.576003 | + | 0.0960725i | ||||
\(45\) | 39.8396 | − | 16.5021i | 0.00293281 | − | 0.00121481i | ||||
\(46\) | 12133.1 | − | 3475.60i | 0.845431 | − | 0.242178i | ||||
\(47\) | 19463.4i | 1.28521i | 0.766197 | + | 0.642605i | \(0.222147\pi\) | ||||
−0.766197 | + | 0.642605i | \(0.777853\pi\) | |||||||
\(48\) | −16542.1 | − | 1029.57i | −1.03631 | − | 0.0644987i | ||||
\(49\) | − | 8746.38i | − | 0.520401i | ||||||
\(50\) | −4860.03 | − | 16966.1i | −0.274925 | − | 0.959747i | ||||
\(51\) | 4621.33 | − | 1914.22i | 0.248795 | − | 0.103054i | ||||
\(52\) | 23256.6 | + | 16607.6i | 1.19272 | + | 0.851724i | ||||
\(53\) | 712.472 | − | 1720.06i | 0.0348400 | − | 0.0841111i | −0.905502 | − | 0.424342i | \(-0.860505\pi\) |
0.940342 | + | 0.340231i | \(0.110505\pi\) | |||||||
\(54\) | 12764.5 | + | 16056.0i | 0.595688 | + | 0.749295i | ||||
\(55\) | 376.572 | − | 376.572i | 0.0167858 | − | 0.0167858i | ||||
\(56\) | 10884.5 | − | 12068.9i | 0.463807 | − | 0.514278i | ||||
\(57\) | 4755.65 | + | 4755.65i | 0.193875 | + | 0.193875i | ||||
\(58\) | 4410.03 | − | 38614.3i | 0.172136 | − | 1.50723i | ||||
\(59\) | −37126.5 | − | 15378.3i | −1.38852 | − | 0.575145i | −0.441777 | − | 0.897125i | \(-0.645652\pi\) |
−0.946747 | + | 0.321979i | \(0.895652\pi\) | |||||||
\(60\) | 998.493 | − | 623.183i | 0.0358069 | − | 0.0223479i | ||||
\(61\) | −15872.5 | − | 38319.5i | −0.546160 | − | 1.31855i | −0.920314 | − | 0.391180i | \(-0.872067\pi\) |
0.374155 | − | 0.927366i | \(-0.377933\pi\) | |||||||
\(62\) | −6523.63 | − | 3618.40i | −0.215531 | − | 0.119547i | ||||
\(63\) | 1703.67 | 0.0540797 | ||||||||
\(64\) | −32594.0 | + | 3372.76i | −0.994689 | + | 0.102929i | ||||
\(65\) | −2029.43 | −0.0595788 | ||||||||
\(66\) | −18764.0 | − | 10407.6i | −0.530232 | − | 0.294098i | ||||
\(67\) | −18692.3 | − | 45127.3i | −0.508717 | − | 1.22815i | −0.944622 | − | 0.328159i | \(-0.893572\pi\) |
0.435905 | − | 0.899993i | \(-0.356428\pi\) | |||||||
\(68\) | 8389.52 | − | 5236.10i | 0.220021 | − | 0.137321i | ||||
\(69\) | 33363.3 | + | 13819.5i | 0.843618 | + | 0.349438i | ||||
\(70\) | −130.959 | + | 1146.68i | −0.00319442 | + | 0.0279704i | ||||
\(71\) | 42991.5 | + | 42991.5i | 1.01213 | + | 1.01213i | 0.999926 | + | 0.0122058i | \(0.00388531\pi\) |
0.0122058 | + | 0.999926i | \(0.496115\pi\) | |||||||
\(72\) | −2550.85 | − | 2300.52i | −0.0579901 | − | 0.0522991i | ||||
\(73\) | −3477.70 | + | 3477.70i | −0.0763809 | + | 0.0763809i | −0.744265 | − | 0.667884i | \(-0.767200\pi\) |
0.667884 | + | 0.744265i | \(0.267200\pi\) | |||||||
\(74\) | 15346.1 | + | 19303.3i | 0.325776 | + | 0.409782i | ||||
\(75\) | 19324.2 | − | 46652.8i | 0.396688 | − | 0.957689i | ||||
\(76\) | 10820.9 | + | 7727.24i | 0.214897 | + | 0.153458i | ||||
\(77\) | 19438.6 | − | 8051.73i | 0.373627 | − | 0.154761i | ||||
\(78\) | 22517.2 | + | 78606.3i | 0.419061 | + | 1.46292i | ||||
\(79\) | 33851.2i | 0.610248i | 0.952313 | + | 0.305124i | \(0.0986979\pi\) | ||||
−0.952313 | + | 0.305124i | \(0.901302\pi\) | |||||||
\(80\) | 1744.48 | − | 1540.05i | 0.0304748 | − | 0.0269036i | ||||
\(81\) | 63300.1i | 1.07199i | ||||||||
\(82\) | −82566.9 | + | 23651.7i | −1.35604 | + | 0.388444i | ||||
\(83\) | 7972.53 | − | 3302.33i | 0.127028 | − | 0.0526169i | −0.318264 | − | 0.948002i | \(-0.603100\pi\) |
0.445292 | + | 0.895385i | \(0.353100\pi\) | |||||||
\(84\) | 45867.6 | − | 7650.33i | 0.709264 | − | 0.118299i | ||||
\(85\) | −268.757 | + | 648.836i | −0.00403471 | + | 0.00974064i | ||||
\(86\) | −69388.2 | + | 55163.5i | −1.01167 | + | 0.804277i | ||||
\(87\) | 78632.7 | − | 78632.7i | 1.11379 | − | 1.11379i | ||||
\(88\) | −39977.2 | − | 14192.9i | −0.550308 | − | 0.195373i | ||||
\(89\) | 25746.4 | + | 25746.4i | 0.344542 | + | 0.344542i | 0.858072 | − | 0.513530i | \(-0.171662\pi\) |
−0.513530 | + | 0.858072i | \(0.671662\pi\) | |||||||
\(90\) | 242.360 | + | 27.6793i | 0.00315395 | + | 0.000360204i | ||||
\(91\) | −74075.8 | − | 30683.2i | −0.937719 | − | 0.388416i | ||||
\(92\) | 69557.3 | + | 16097.9i | 0.856787 | + | 0.198289i | ||||
\(93\) | −8168.27 | − | 19720.0i | −0.0979316 | − | 0.236428i | ||||
\(94\) | −53404.2 | + | 96282.8i | −0.623384 | + | 1.12390i | ||||
\(95\) | −944.262 | −0.0107345 | ||||||||
\(96\) | −79006.6 | − | 50481.8i | −0.874954 | − | 0.559058i | ||||
\(97\) | −123688. | −1.33475 | −0.667373 | − | 0.744724i | \(-0.732581\pi\) | ||||
−0.667373 | + | 0.744724i | \(0.732581\pi\) | |||||||
\(98\) | 23998.5 | − | 43267.1i | 0.252417 | − | 0.455085i | ||||
\(99\) | −1701.79 | − | 4108.49i | −0.0174509 | − | 0.0421303i | ||||
\(100\) | 22510.1 | − | 97263.9i | 0.225101 | − | 0.972639i | ||||
\(101\) | 81180.1 | + | 33625.9i | 0.791856 | + | 0.327997i | 0.741689 | − | 0.670744i | \(-0.234025\pi\) |
0.0501663 | + | 0.998741i | \(0.484025\pi\) | |||||||
\(102\) | 28113.4 | + | 3210.75i | 0.267555 | + | 0.0305567i | ||||
\(103\) | −121909. | − | 121909.i | −1.13225 | − | 1.13225i | −0.989802 | − | 0.142453i | \(-0.954501\pi\) |
−0.142453 | − | 0.989802i | \(-0.545499\pi\) | |||||||
\(104\) | 69478.9 | + | 145968.i | 0.629897 | + | 1.32334i | ||||
\(105\) | −2335.06 | + | 2335.06i | −0.0206693 | + | 0.0206693i | ||||
\(106\) | 8244.03 | − | 6553.99i | 0.0712648 | − | 0.0566554i | ||||
\(107\) | 3602.26 | − | 8696.61i | 0.0304169 | − | 0.0734329i | −0.907941 | − | 0.419098i | \(-0.862347\pi\) |
0.938358 | + | 0.345665i | \(0.112347\pi\) | |||||||
\(108\) | 19089.3 | + | 114450.i | 0.157482 | + | 0.944186i | ||||
\(109\) | 193505. | − | 80152.4i | 1.56000 | − | 0.646175i | 0.574914 | − | 0.818214i | \(-0.305035\pi\) |
0.985090 | + | 0.172039i | \(0.0550354\pi\) | |||||||
\(110\) | 2896.10 | − | 829.603i | 0.0228208 | − | 0.00653715i | ||||
\(111\) | 70558.8i | 0.543555i | ||||||||
\(112\) | 86959.0 | − | 29838.1i | 0.655042 | − | 0.224764i | ||||
\(113\) | 163787.i | 1.20665i | 0.797495 | + | 0.603326i | \(0.206158\pi\) | ||||
−0.797495 | + | 0.603326i | \(0.793842\pi\) | |||||||
\(114\) | 10476.9 | + | 36574.2i | 0.0755039 | + | 0.263580i | ||||
\(115\) | −4684.21 | + | 1940.26i | −0.0330287 | + | 0.0136809i | ||||
\(116\) | 127767. | − | 178919.i | 0.881603 | − | 1.23456i | ||||
\(117\) | −6485.12 | + | 15656.5i | −0.0437979 | + | 0.105738i | ||||
\(118\) | −141464. | − | 177943.i | −0.935279 | − | 1.17645i | ||||
\(119\) | −19619.6 | + | 19619.6i | −0.127006 | + | 0.127006i | ||||
\(120\) | 6649.31 | − | 343.113i | 0.0421525 | − | 0.00217512i | ||||
\(121\) | 75046.0 | + | 75046.0i | 0.465976 | + | 0.465976i | ||||
\(122\) | 26623.1 | − | 233112.i | 0.161942 | − | 1.41797i | ||||
\(123\) | −227040. | − | 94042.9i | −1.35313 | − | 0.560484i | ||||
\(124\) | −22343.3 | − | 35799.4i | −0.130495 | − | 0.209084i | ||||
\(125\) | 5430.74 | + | 13111.0i | 0.0310874 | + | 0.0750515i | ||||
\(126\) | 8427.82 | + | 4674.57i | 0.0472922 | + | 0.0262310i | ||||
\(127\) | −4644.48 | −0.0255522 | −0.0127761 | − | 0.999918i | \(-0.504067\pi\) | ||||
−0.0127761 | + | 0.999918i | \(0.504067\pi\) | |||||||
\(128\) | −170492. | − | 72747.5i | −0.919770 | − | 0.392458i | ||||
\(129\) | −253632. | −1.34193 | ||||||||
\(130\) | −10039.3 | − | 5568.41i | −0.0521010 | − | 0.0288983i | ||||
\(131\) | 148058. | + | 357445.i | 0.753798 | + | 1.81983i | 0.536928 | + | 0.843628i | \(0.319585\pi\) |
0.216869 | + | 0.976201i | \(0.430415\pi\) | |||||||
\(132\) | −64266.2 | − | 102970.i | −0.321032 | − | 0.514372i | ||||
\(133\) | −34466.2 | − | 14276.4i | −0.168952 | − | 0.0699824i | ||||
\(134\) | 31352.9 | − | 274527.i | 0.150840 | − | 1.32076i | ||||
\(135\) | −5826.51 | − | 5826.51i | −0.0275153 | − | 0.0275153i | ||||
\(136\) | 55868.7 | − | 2882.90i | 0.259013 | − | 0.0133654i | ||||
\(137\) | 273192. | − | 273192.i | 1.24356 | − | 1.24356i | 0.285048 | − | 0.958513i | \(-0.407990\pi\) |
0.958513 | − | 0.285048i | \(-0.0920095\pi\) | |||||||
\(138\) | 127125. | + | 159906.i | 0.568242 | + | 0.714772i | ||||
\(139\) | 43113.0 | − | 104084.i | 0.189265 | − | 0.456927i | −0.800553 | − | 0.599262i | \(-0.795461\pi\) |
0.989819 | + | 0.142335i | \(0.0454610\pi\) | |||||||
\(140\) | −3794.13 | + | 5313.15i | −0.0163604 | + | 0.0229104i | ||||
\(141\) | −291048. | + | 120556.i | −1.23287 | + | 0.510671i | ||||
\(142\) | 94711.9 | + | 330634.i | 0.394170 | + | 1.37603i | ||||
\(143\) | 209287.i | 0.855858i | ||||||||
\(144\) | −6306.50 | − | 18379.4i | −0.0253444 | − | 0.0738628i | ||||
\(145\) | 15613.0i | 0.0616688i | ||||||||
\(146\) | −26745.9 | + | 7661.50i | −0.103842 | + | 0.0297462i | ||||
\(147\) | 130790. | − | 54175.0i | 0.499207 | − | 0.206778i | ||||
\(148\) | 22950.2 | + | 137598.i | 0.0861255 | + | 0.516366i | ||||
\(149\) | −100614. | + | 242903.i | −0.371272 | + | 0.896329i | 0.622264 | + | 0.782807i | \(0.286213\pi\) |
−0.993536 | + | 0.113521i | \(0.963787\pi\) | |||||||
\(150\) | 223601. | − | 177763.i | 0.811421 | − | 0.645078i | ||||
\(151\) | 58568.5 | − | 58568.5i | 0.209036 | − | 0.209036i | −0.594822 | − | 0.803858i | \(-0.702777\pi\) |
0.803858 | + | 0.594822i | \(0.202777\pi\) | |||||||
\(152\) | 32327.4 | + | 67916.3i | 0.113491 | + | 0.238432i | ||||
\(153\) | 4146.75 | + | 4146.75i | 0.0143212 | + | 0.0143212i | ||||
\(154\) | 118253. | + | 13505.3i | 0.401799 | + | 0.0458883i | ||||
\(155\) | 2768.68 | + | 1146.83i | 0.00925645 | + | 0.00383415i | ||||
\(156\) | −104292. | + | 450638.i | −0.343116 | + | 1.48257i | ||||
\(157\) | −160884. | − | 388409.i | −0.520912 | − | 1.25759i | −0.937337 | − | 0.348423i | \(-0.886717\pi\) |
0.416425 | − | 0.909170i | \(-0.363283\pi\) | |||||||
\(158\) | −92881.7 | + | 167457.i | −0.295997 | + | 0.533655i | ||||
\(159\) | 30134.1 | 0.0945291 | ||||||||
\(160\) | 12855.3 | − | 2831.88i | 0.0396994 | − | 0.00874532i | ||||
\(161\) | −200312. | −0.609035 | ||||||||
\(162\) | −173684. | + | 313137.i | −0.519963 | + | 0.937446i | ||||
\(163\) | 137299. | + | 331469.i | 0.404761 | + | 0.977180i | 0.986494 | + | 0.163800i | \(0.0523751\pi\) |
−0.581732 | + | 0.813380i | \(0.697625\pi\) | |||||||
\(164\) | −473343. | − | 109547.i | −1.37425 | − | 0.318047i | ||||
\(165\) | 7963.60 | + | 3298.63i | 0.0227719 | + | 0.00943244i | ||||
\(166\) | 48500.0 | + | 5539.05i | 0.136607 | + | 0.0156015i | ||||
\(167\) | 27962.6 | + | 27962.6i | 0.0775866 | + | 0.0775866i | 0.744835 | − | 0.667249i | \(-0.232528\pi\) |
−0.667249 | + | 0.744835i | \(0.732528\pi\) | |||||||
\(168\) | 247892. | + | 88007.6i | 0.677625 | + | 0.240573i | ||||
\(169\) | 301404. | − | 301404.i | 0.811767 | − | 0.811767i | ||||
\(170\) | −3109.79 | + | 2472.28i | −0.00825295 | + | 0.00656108i | ||||
\(171\) | −3017.42 | + | 7284.69i | −0.00789124 | + | 0.0190511i | ||||
\(172\) | −494613. | + | 82497.1i | −1.27481 | + | 0.212627i | ||||
\(173\) | −98041.0 | + | 40609.9i | −0.249053 | + | 0.103161i | −0.503718 | − | 0.863868i | \(-0.668035\pi\) |
0.254665 | + | 0.967029i | \(0.418035\pi\) | |||||||
\(174\) | 604739. | − | 173231.i | 1.51424 | − | 0.433762i | ||||
\(175\) | 280102.i | 0.691386i | ||||||||
\(176\) | −158819. | − | 179901.i | −0.386475 | − | 0.437775i | ||||
\(177\) | − | 650427.i | − | 1.56051i | ||||||
\(178\) | 56720.4 | + | 198008.i | 0.134180 | + | 0.468417i | ||||
\(179\) | 530697. | − | 219822.i | 1.23798 | − | 0.512788i | 0.334898 | − | 0.942254i | \(-0.391298\pi\) |
0.903083 | + | 0.429466i | \(0.141298\pi\) | |||||||
\(180\) | 1122.97 | + | 801.918i | 0.00258338 | + | 0.00184480i | ||||
\(181\) | −91277.3 | + | 220363.i | −0.207094 | + | 0.499968i | −0.992963 | − | 0.118424i | \(-0.962216\pi\) |
0.785870 | + | 0.618392i | \(0.212216\pi\) | |||||||
\(182\) | −282253. | − | 355036.i | −0.631627 | − | 0.794501i | ||||
\(183\) | 474701. | − | 474701.i | 1.04783 | − | 1.04783i | ||||
\(184\) | 299921. | + | 270487.i | 0.653073 | + | 0.588981i | ||||
\(185\) | −7004.93 | − | 7004.93i | −0.0150479 | − | 0.0150479i | ||||
\(186\) | 13700.8 | − | 119964.i | 0.0290377 | − | 0.254255i | ||||
\(187\) | 66911.7 | + | 27715.7i | 0.139926 | + | 0.0579592i | ||||
\(188\) | −528366. | + | 329766.i | −1.09029 | + | 0.680473i | ||||
\(189\) | −124580. | − | 300763.i | −0.253685 | − | 0.612450i | ||||
\(190\) | −4671.13 | − | 2590.89i | −0.00938724 | − | 0.00520672i | ||||
\(191\) | −497895. | −0.987539 | −0.493770 | − | 0.869593i | \(-0.664381\pi\) | ||||
−0.493770 | + | 0.869593i | \(0.664381\pi\) | |||||||
\(192\) | −252322. | − | 466506.i | −0.493971 | − | 0.913281i | ||||
\(193\) | 369971. | 0.714949 | 0.357474 | − | 0.933923i | \(-0.383638\pi\) | ||||
0.357474 | + | 0.933923i | \(0.383638\pi\) | |||||||
\(194\) | −611868. | − | 339378.i | −1.16722 | − | 0.647411i | ||||
\(195\) | −12570.3 | − | 30347.4i | −0.0236733 | − | 0.0571524i | ||||
\(196\) | 237435. | − | 148189.i | 0.441473 | − | 0.275534i | ||||
\(197\) | −66408.2 | − | 27507.2i | −0.121915 | − | 0.0504987i | 0.320892 | − | 0.947116i | \(-0.396017\pi\) |
−0.442807 | + | 0.896617i | \(0.646017\pi\) | |||||||
\(198\) | 2854.44 | − | 24993.5i | 0.00517438 | − | 0.0453070i | ||||
\(199\) | −455988. | − | 455988.i | −0.816245 | − | 0.816245i | 0.169317 | − | 0.985562i | \(-0.445844\pi\) |
−0.985562 | + | 0.169317i | \(0.945844\pi\) | |||||||
\(200\) | 378229. | − | 419387.i | 0.668621 | − | 0.741379i | ||||
\(201\) | 559035. | − | 559035.i | 0.975999 | − | 0.975999i | ||||
\(202\) | 309323. | + | 389086.i | 0.533376 | + | 0.670915i | ||||
\(203\) | −236054. | + | 569885.i | −0.402042 | + | 0.970615i | ||||
\(204\) | 130263. | + | 93021.3i | 0.219152 | + | 0.156497i | ||||
\(205\) | 31876.4 | − | 13203.6i | 0.0529767 | − | 0.0219437i | ||||
\(206\) | −268571. | − | 937567.i | −0.440952 | − | 1.53934i | ||||
\(207\) | 42337.4i | 0.0686749i | ||||||||
\(208\) | −56806.8 | + | 912719.i | −0.0910421 | + | 1.46278i | ||||
\(209\) | 97377.7i | 0.154203i | ||||||||
\(210\) | −17958.2 | + | 5144.22i | −0.0281006 | + | 0.00804955i | ||||
\(211\) | 43305.2 | − | 17937.6i | 0.0669628 | − | 0.0277369i | −0.348951 | − | 0.937141i | \(-0.613462\pi\) |
0.415913 | + | 0.909404i | \(0.363462\pi\) | |||||||
\(212\) | 58765.1 | − | 9801.51i | 0.0898007 | − | 0.0149780i | ||||
\(213\) | −376589. | + | 909167.i | −0.568747 | + | 1.37308i | ||||
\(214\) | 41681.8 | − | 33137.0i | 0.0622175 | − | 0.0494628i | ||||
\(215\) | 25180.1 | − | 25180.1i | 0.0371502 | − | 0.0371502i | ||||
\(216\) | −219599. | + | 618548.i | −0.320255 | + | 0.902067i | ||||
\(217\) | 83720.0 | + | 83720.0i | 0.120692 | + | 0.120692i | ||||
\(218\) | 1.17717e6 | + | 134441.i | 1.67763 | + | 0.191598i | ||||
\(219\) | −73545.0 | − | 30463.3i | −0.103620 | − | 0.0429207i | ||||
\(220\) | 16602.9 | + | 3842.46i | 0.0231274 | + | 0.00535245i | ||||
\(221\) | −105618. | − | 254984.i | −0.145465 | − | 0.351182i | ||||
\(222\) | −193601. | + | 349045.i | −0.263648 | + | 0.475334i | ||||
\(223\) | −1.13612e6 | −1.52989 | −0.764945 | − | 0.644096i | \(-0.777234\pi\) | ||||
−0.764945 | + | 0.644096i | \(0.777234\pi\) | |||||||
\(224\) | 512044. | + | 90995.1i | 0.681848 | + | 0.121171i | ||||
\(225\) | 59201.6 | 0.0779609 | ||||||||
\(226\) | −449401. | + | 810229.i | −0.585279 | + | 1.05520i | ||||
\(227\) | 202769. | + | 489528.i | 0.261179 | + | 0.630541i | 0.999012 | − | 0.0444421i | \(-0.0141510\pi\) |
−0.737833 | + | 0.674983i | \(0.764151\pi\) | |||||||
\(228\) | −48525.5 | + | 209674.i | −0.0618206 | + | 0.267121i | ||||
\(229\) | 1.12919e6 | + | 467728.i | 1.42292 | + | 0.589392i | 0.955592 | − | 0.294693i | \(-0.0952172\pi\) |
0.467327 | + | 0.884085i | \(0.345217\pi\) | |||||||
\(230\) | −28495.9 | − | 3254.43i | −0.0355191 | − | 0.00405654i | ||||
\(231\) | 240805. | + | 240805.i | 0.296917 | + | 0.296917i | ||||
\(232\) | 1.12297e6 | − | 534520.i | 1.36977 | − | 0.651994i | ||||
\(233\) | −969887. | + | 969887.i | −1.17039 | + | 1.17039i | −0.188276 | + | 0.982116i | \(0.560290\pi\) |
−0.982116 | + | 0.188276i | \(0.939710\pi\) | |||||||
\(234\) | −75039.6 | + | 59656.3i | −0.0895882 | + | 0.0712224i | ||||
\(235\) | 16926.1 | − | 40863.2i | 0.0199934 | − | 0.0482684i | ||||
\(236\) | −211560. | − | 1.26841e6i | −0.247260 | − | 1.48245i | ||||
\(237\) | −506197. | + | 209674.i | −0.585395 | + | 0.242479i | ||||
\(238\) | −150888. | + | 43222.7i | −0.172668 | + | 0.0494618i | ||||
\(239\) | − | 529355.i | − | 0.599449i | −0.954026 | − | 0.299724i | \(-0.903105\pi\) | ||
0.954026 | − | 0.299724i | \(-0.0968947\pi\) | |||||||
\(240\) | 33834.6 | + | 16547.2i | 0.0379170 | + | 0.0185437i | ||||
\(241\) | 1.07740e6i | 1.19491i | 0.801904 | + | 0.597453i | \(0.203820\pi\) | ||||
−0.801904 | + | 0.597453i | \(0.796180\pi\) | |||||||
\(242\) | 165329. | + | 577155.i | 0.181472 | + | 0.633511i | ||||
\(243\) | −132522. | + | 54892.3i | −0.143970 | + | 0.0596342i | ||||
\(244\) | 771320. | − | 1.08013e6i | 0.829393 | − | 1.16145i | ||||
\(245\) | −7606.18 | + | 18362.9i | −0.00809564 | + | 0.0195446i | ||||
\(246\) | −865096. | − | 1.08817e6i | −0.911437 | − | 1.14646i | ||||
\(247\) | 262395. | − | 262395.i | 0.273661 | − | 0.273661i | ||||
\(248\) | −12301.8 | − | 238401.i | −0.0127010 | − | 0.246138i | ||||
\(249\) | 98763.5 | + | 98763.5i | 0.100948 | + | 0.100948i | ||||
\(250\) | −9109.06 | + | 79759.1i | −0.00921773 | + | 0.0807105i | ||||
\(251\) | 522122. | + | 216270.i | 0.523104 | + | 0.216677i | 0.628580 | − | 0.777745i | \(-0.283637\pi\) |
−0.105476 | + | 0.994422i | \(0.533637\pi\) | |||||||
\(252\) | 28865.1 | + | 46248.9i | 0.0286333 | + | 0.0458776i | ||||
\(253\) | 200091. | + | 483062.i | 0.196529 | + | 0.474462i | ||||
\(254\) | −22975.6 | − | 12743.6i | −0.0223451 | − | 0.0123939i | ||||
\(255\) | −11367.1 | −0.0109471 | ||||||||
\(256\) | −643794. | − | 827672.i | −0.613970 | − | 0.789329i | ||||
\(257\) | −747289. | −0.705758 | −0.352879 | − | 0.935669i | \(-0.614797\pi\) | ||||
−0.352879 | + | 0.935669i | \(0.614797\pi\) | |||||||
\(258\) | −1.25468e6 | − | 695922.i | −1.17350 | − | 0.650895i | ||||
\(259\) | −149777. | − | 361593.i | −0.138738 | − | 0.334943i | ||||
\(260\) | −34384.4 | − | 55092.3i | −0.0315449 | − | 0.0505426i | ||||
\(261\) | 120449. | + | 49891.8i | 0.109447 | + | 0.0453344i | ||||
\(262\) | −248341. | + | 2.17447e6i | −0.223509 | + | 1.95705i | ||||
\(263\) | −444344. | − | 444344.i | −0.396123 | − | 0.396123i | 0.480740 | − | 0.876863i | \(-0.340368\pi\) |
−0.876863 | + | 0.480740i | \(0.840368\pi\) | |||||||
\(264\) | −35383.8 | − | 685715.i | −0.0312460 | − | 0.605527i | ||||
\(265\) | −2991.65 | + | 2991.65i | −0.00261696 | + | 0.00261696i | ||||
\(266\) | −131328. | − | 165192.i | −0.113803 | − | 0.143148i | ||||
\(267\) | −225529. | + | 544475.i | −0.193608 | + | 0.467412i | ||||
\(268\) | 908352. | − | 1.27202e6i | 0.772533 | − | 1.08182i | ||||
\(269\) | 243603. | − | 100904.i | 0.205259 | − | 0.0850212i | −0.277685 | − | 0.960672i | \(-0.589567\pi\) |
0.482945 | + | 0.875651i | \(0.339567\pi\) | |||||||
\(270\) | −12836.0 | − | 44809.9i | −0.0107157 | − | 0.0374080i | ||||
\(271\) | − | 882745.i | − | 0.730150i | −0.930978 | − | 0.365075i | \(-0.881043\pi\) | ||
0.930978 | − | 0.365075i | \(-0.118957\pi\) | |||||||
\(272\) | 284285. | + | 139033.i | 0.232987 | + | 0.113945i | ||||
\(273\) | − | 1.29775e6i | − | 1.05387i | ||||||
\(274\) | 2.10104e6 | − | 601853.i | 1.69066 | − | 0.484299i | ||||
\(275\) | 675480. | − | 279793.i | 0.538618 | − | 0.223103i | ||||
\(276\) | 190116. | + | 1.13984e6i | 0.150226 | + | 0.900683i | ||||
\(277\) | 114671. | − | 276841.i | 0.0897957 | − | 0.216786i | −0.872601 | − | 0.488433i | \(-0.837569\pi\) |
0.962397 | + | 0.271648i | \(0.0875685\pi\) | |||||||
\(278\) | 498862. | − | 396594.i | 0.387140 | − | 0.307776i | ||||
\(279\) | 17694.8 | − | 17694.8i | 0.0136093 | − | 0.0136093i | ||||
\(280\) | −33347.4 | + | 15873.0i | −0.0254195 | + | 0.0120994i | ||||
\(281\) | 736095. | + | 736095.i | 0.556119 | + | 0.556119i | 0.928200 | − | 0.372081i | \(-0.121356\pi\) |
−0.372081 | + | 0.928200i | \(0.621356\pi\) | |||||||
\(282\) | −1.77056e6 | − | 202211.i | −1.32583 | − | 0.151419i | ||||
\(283\) | −1.62792e6 | − | 674307.i | −1.20828 | − | 0.500485i | −0.314614 | − | 0.949220i | \(-0.601875\pi\) |
−0.893665 | + | 0.448734i | \(0.851875\pi\) | |||||||
\(284\) | −438675. | + | 1.89547e6i | −0.322736 | + | 1.39451i | ||||
\(285\) | −5848.74 | − | 14120.1i | −0.00426531 | − | 0.0102974i | ||||
\(286\) | −574246. | + | 1.03531e6i | −0.415129 | + | 0.748439i | ||||
\(287\) | 1.36314e6 | 0.976866 | ||||||||
\(288\) | 19232.5 | − | 108224.i | 0.0136633 | − | 0.0768854i | ||||
\(289\) | 1.32435e6 | 0.932734 | ||||||||
\(290\) | −42839.3 | + | 77235.2i | −0.0299121 | + | 0.0539288i | ||||
\(291\) | −766123. | − | 1.84958e6i | −0.530354 | − | 1.28039i | ||||
\(292\) | −153330. | − | 35485.6i | −0.105237 | − | 0.0243554i | ||||
\(293\) | −301964. | − | 125078.i | −0.205488 | − | 0.0851160i | 0.277566 | − | 0.960707i | \(-0.410472\pi\) |
−0.483054 | + | 0.875591i | \(0.660472\pi\) | |||||||
\(294\) | 795646. | + | 90868.5i | 0.536848 | + | 0.0613120i | ||||
\(295\) | 64573.1 | + | 64573.1i | 0.0432013 | + | 0.0432013i | ||||
\(296\) | −264013. | + | 743649.i | −0.175145 | + | 0.493332i | ||||
\(297\) | −600863. | + | 600863.i | −0.395262 | + | 0.395262i | ||||
\(298\) | −1.16421e6 | + | 925541.i | −0.759432 | + | 0.603747i | ||||
\(299\) | 762498. | − | 1.84083e6i | 0.493243 | − | 1.19079i | ||||
\(300\) | 1.59387e6 | − | 265845.i | 1.02247 | − | 0.170539i | ||||
\(301\) | 1.29979e6 | − | 538391.i | 0.826907 | − | 0.342516i | ||||
\(302\) | 450432. | − | 129029.i | 0.284192 | − | 0.0814083i | ||||
\(303\) | 1.42221e6i | 0.889935i | ||||||||
\(304\) | −26431.3 | + | 424673.i | −0.0164034 | + | 0.263555i | ||||
\(305\) | 94254.6i | 0.0580167i | ||||||||
\(306\) | 9135.45 | + | 31891.4i | 0.00557733 | + | 0.0194702i | ||||
\(307\) | −1.42227e6 | + | 589122.i | −0.861262 | + | 0.356746i | −0.769201 | − | 0.639007i | \(-0.779346\pi\) |
−0.0920611 | + | 0.995753i | \(0.529346\pi\) | |||||||
\(308\) | 547923. | + | 391273.i | 0.329111 | + | 0.235019i | ||||
\(309\) | 1.06788e6 | − | 2.57809e6i | 0.636248 | − | 1.53604i | ||||
\(310\) | 10549.6 | + | 13270.0i | 0.00623494 | + | 0.00784271i | ||||
\(311\) | −1.31601e6 | + | 1.31601e6i | −0.771541 | + | 0.771541i | −0.978376 | − | 0.206835i | \(-0.933684\pi\) |
0.206835 | + | 0.978376i | \(0.433684\pi\) | |||||||
\(312\) | −1.75239e6 | + | 1.94308e6i | −1.01916 | + | 1.13007i | ||||
\(313\) | −1.06193e6 | − | 1.06193e6i | −0.612681 | − | 0.612681i | 0.330963 | − | 0.943644i | \(-0.392626\pi\) |
−0.943644 | + | 0.330963i | \(0.892626\pi\) | |||||||
\(314\) | 269854. | − | 2.36284e6i | 0.154456 | − | 1.35242i | ||||
\(315\) | −3576.84 | − | 1481.58i | −0.00203106 | − | 0.000841293i | ||||
\(316\) | −918946. | + | 573536.i | −0.517693 | + | 0.323105i | ||||
\(317\) | 424579. | + | 1.02502e6i | 0.237307 | + | 0.572909i | 0.997002 | − | 0.0773696i | \(-0.0246522\pi\) |
−0.759696 | + | 0.650279i | \(0.774652\pi\) | |||||||
\(318\) | 149069. | + | 82682.7i | 0.0826648 | + | 0.0458508i | ||||
\(319\) | 1.61010e6 | 0.885882 | ||||||||
\(320\) | 71363.7 | + | 21263.8i | 0.0389585 | + | 0.0116082i | ||||
\(321\) | 152358. | 0.0825283 | ||||||||
\(322\) | −990915. | − | 549620.i | −0.532595 | − | 0.295409i | ||||
\(323\) | −49142.2 | − | 118640.i | −0.0262089 | − | 0.0632739i | ||||
\(324\) | −1.71838e6 | + | 1.07248e6i | −0.909405 | + | 0.567582i | ||||
\(325\) | −2.57409e6 | − | 1.06622e6i | −1.35181 | − | 0.559938i | ||||
\(326\) | −230294. | + | 2.01646e6i | −0.120016 | + | 1.05086i | ||||
\(327\) | 2.39713e6 | + | 2.39713e6i | 1.23972 | + | 1.23972i | ||||
\(328\) | −2.04098e6 | − | 1.84068e6i | −1.04750 | − | 0.944702i | ||||
\(329\) | 1.23563e6 | − | 1.23563e6i | 0.629359 | − | 0.629359i | ||||
\(330\) | 30344.0 | + | 38168.6i | 0.0153387 | + | 0.0192940i | ||||
\(331\) | 550897. | − | 1.32998e6i | 0.276376 | − | 0.667231i | −0.723354 | − | 0.690478i | \(-0.757400\pi\) |
0.999730 | + | 0.0232470i | \(0.00740041\pi\) | |||||||
\(332\) | 224725. | + | 160476.i | 0.111894 | + | 0.0799035i | ||||
\(333\) | −76425.4 | + | 31656.4i | −0.0377683 | + | 0.0156441i | ||||
\(334\) | 61602.7 | + | 215052.i | 0.0302158 | + | 0.105482i | ||||
\(335\) | 111000.i | 0.0540393i | ||||||||
\(336\) | 984810. | + | 1.11553e6i | 0.475887 | + | 0.539057i | ||||
\(337\) | 2.57502e6i | 1.23511i | 0.786528 | + | 0.617554i | \(0.211876\pi\) | ||||
−0.786528 | + | 0.617554i | \(0.788124\pi\) | |||||||
\(338\) | 2.31800e6 | − | 664003.i | 1.10363 | − | 0.316139i | ||||
\(339\) | −2.44920e6 | + | 1.01449e6i | −1.15751 | + | 0.479457i | ||||
\(340\) | −22167.2 | + | 3697.30i | −0.0103995 | + | 0.00173455i | ||||
\(341\) | 118267. | − | 285523.i | 0.0550781 | − | 0.132970i | ||||
\(342\) | −34914.6 | + | 27757.1i | −0.0161414 | + | 0.0128324i | ||||
\(343\) | −1.62225e6 | + | 1.62225e6i | −0.744530 | + | 0.744530i | ||||
\(344\) | −2.67314e6 | − | 949028.i | −1.21794 | − | 0.432397i | ||||
\(345\) | −58027.8 | − | 58027.8i | −0.0262475 | − | 0.0262475i | ||||
\(346\) | −596421. | − | 68115.6i | −0.267832 | − | 0.0305884i | ||||
\(347\) | 2.97957e6 | + | 1.23418e6i | 1.32840 | + | 0.550243i | 0.930200 | − | 0.367054i | \(-0.119634\pi\) |
0.398204 | + | 0.917297i | \(0.369634\pi\) | |||||||
\(348\) | 3.46688e6 | + | 802350.i | 1.53458 | + | 0.355153i | ||||
\(349\) | 503983. | + | 1.21672e6i | 0.221489 | + | 0.534722i | 0.995093 | − | 0.0989482i | \(-0.0315478\pi\) |
−0.773604 | + | 0.633670i | \(0.781548\pi\) | |||||||
\(350\) | −768550. | + | 1.38562e6i | −0.335353 | + | 0.604610i | ||||
\(351\) | 3.23819e6 | 1.40292 | ||||||||
\(352\) | −292040. | − | 1.32572e6i | −0.125628 | − | 0.570287i | ||||
\(353\) | −1.55824e6 | −0.665574 | −0.332787 | − | 0.943002i | \(-0.607989\pi\) | ||||
−0.332787 | + | 0.943002i | \(0.607989\pi\) | |||||||
\(354\) | 1.78466e6 | − | 3.21757e6i | 0.756914 | − | 1.36465i | ||||
\(355\) | −52873.2 | − | 127647.i | −0.0222672 | − | 0.0537577i | ||||
\(356\) | −262711. | + | 1.13515e6i | −0.109863 | + | 0.474709i | ||||
\(357\) | −414908. | − | 171860.i | −0.172298 | − | 0.0713683i | ||||
\(358\) | 3.22844e6 | + | 368711.i | 1.33133 | + | 0.152047i | ||||
\(359\) | 390154. | + | 390154.i | 0.159772 | + | 0.159772i | 0.782466 | − | 0.622694i | \(-0.213962\pi\) |
−0.622694 | + | 0.782466i | \(0.713962\pi\) | |||||||
\(360\) | 3354.87 | + | 7048.22i | 0.00136433 | + | 0.00286631i | ||||
\(361\) | −1.62878e6 | + | 1.62878e6i | −0.657800 | + | 0.657800i | ||||
\(362\) | −1.05617e6 | + | 839656.i | −0.423608 | + | 0.336767i | ||||
\(363\) | −657374. | + | 1.58704e6i | −0.261846 | + | 0.632152i | ||||
\(364\) | −422111. | − | 2.53077e6i | −0.166983 | − | 1.00115i | ||||
\(365\) | 10325.7 | − | 4277.06i | 0.00405685 | − | 0.00168040i | ||||
\(366\) | 3.65078e6 | − | 1.04578e6i | 1.42457 | − | 0.408074i | ||||
\(367\) | − | 387740.i | − | 0.150271i | −0.997173 | − | 0.0751356i | \(-0.976061\pi\) | ||
0.997173 | − | 0.0751356i | \(-0.0239390\pi\) | |||||||
\(368\) | 741497. | + | 2.16099e6i | 0.285424 | + | 0.831827i | ||||
\(369\) | − | 288109.i | − | 0.110152i | ||||||
\(370\) | −15432.1 | − | 53872.7i | −0.00586032 | − | 0.0204581i | ||||
\(371\) | −154428. | + | 63966.4i | −0.0582496 | + | 0.0241278i | ||||
\(372\) | 396936. | − | 555854.i | 0.148718 | − | 0.208259i | ||||
\(373\) | 1.53471e6 | − | 3.70512e6i | 0.571156 | − | 1.37889i | −0.329415 | − | 0.944185i | \(-0.606851\pi\) |
0.900571 | − | 0.434708i | \(-0.143149\pi\) | |||||||
\(374\) | 254956. | + | 320700.i | 0.0942509 | + | 0.118555i | ||||
\(375\) | −162418. | + | 162418.i | −0.0596426 | + | 0.0596426i | ||||
\(376\) | −3.51857e6 | + | 181563.i | −1.28350 | + | 0.0662304i | ||||
\(377\) | −4.33860e6 | − | 4.33860e6i | −1.57216 | − | 1.57216i | ||||
\(378\) | 208960. | − | 1.82966e6i | 0.0752202 | − | 0.658629i | ||||
\(379\) | −1.47772e6 | − | 612093.i | −0.528439 | − | 0.218887i | 0.102480 | − | 0.994735i | \(-0.467322\pi\) |
−0.630919 | + | 0.775848i | \(0.717322\pi\) | |||||||
\(380\) | −15998.5 | − | 25633.5i | −0.00568356 | − | 0.00910645i | ||||
\(381\) | −28767.9 | − | 69451.7i | −0.0101530 | − | 0.0245115i | ||||
\(382\) | −2.46302e6 | − | 1.36614e6i | −0.863593 | − | 0.479000i | ||||
\(383\) | 142494. | 0.0496362 | 0.0248181 | − | 0.999692i | \(-0.492099\pi\) | ||||
0.0248181 | + | 0.999692i | \(0.492099\pi\) | |||||||
\(384\) | 31812.0 | − | 3.00007e6i | 0.0110094 | − | 1.03825i | ||||
\(385\) | −47813.2 | −0.0164398 | ||||||||
\(386\) | 1.83020e6 | + | 1.01514e6i | 0.625215 | + | 0.346782i | ||||
\(387\) | −113793. | − | 274720.i | −0.0386222 | − | 0.0932423i | ||||
\(388\) | −2.09563e6 | − | 3.35771e6i | −0.706701 | − | 1.13231i | ||||
\(389\) | −3.77507e6 | − | 1.56369e6i | −1.26489 | − | 0.523933i | −0.353480 | − | 0.935442i | \(-0.615002\pi\) |
−0.911406 | + | 0.411509i | \(0.865002\pi\) | |||||||
\(390\) | 21084.3 | − | 184615.i | 0.00701938 | − | 0.0614618i | ||||
\(391\) | −487561. | − | 487561.i | −0.161282 | − | 0.161282i | ||||
\(392\) | 1.58116e6 | − | 81589.9i | 0.519710 | − | 0.0268177i | ||||
\(393\) | −4.42801e6 | + | 4.42801e6i | −1.44620 | + | 1.44620i | ||||
\(394\) | −253037. | − | 318287.i | −0.0821191 | − | 0.103295i | ||||
\(395\) | 29438.2 | − | 71070.2i | 0.00949334 | − | 0.0229190i | ||||
\(396\) | 82698.4 | − | 115807.i | 0.0265008 | − | 0.0371107i | ||||
\(397\) | 2.76926e6 | − | 1.14706e6i | 0.881834 | − | 0.365268i | 0.104626 | − | 0.994512i | \(-0.466635\pi\) |
0.777208 | + | 0.629244i | \(0.216635\pi\) | |||||||
\(398\) | −1.00456e6 | − | 3.50686e6i | −0.317883 | − | 1.10971i | ||||
\(399\) | − | 603822.i | − | 0.189879i | ||||||
\(400\) | 3.02177e6 | − | 1.03686e6i | 0.944304 | − | 0.324018i | ||||
\(401\) | − | 2.58223e6i | − | 0.801925i | −0.916095 | − | 0.400962i | \(-0.868676\pi\) | ||
0.916095 | − | 0.400962i | \(-0.131324\pi\) | |||||||
\(402\) | 4.29936e6 | − | 1.23158e6i | 1.32690 | − | 0.380098i | ||||
\(403\) | −1.08806e6 | + | 450688.i | −0.333725 | + | 0.138234i | ||||
\(404\) | 462593. | + | 2.77348e6i | 0.141009 | + | 0.845419i | ||||
\(405\) | 55048.1 | − | 132898.i | 0.0166765 | − | 0.0402606i | ||||
\(406\) | −2.73139e6 | + | 2.17145e6i | −0.822373 | + | 0.653785i | ||||
\(407\) | −722388. | + | 722388.i | −0.216165 | + | 0.216165i | ||||
\(408\) | 389160. | + | 817583.i | 0.115738 | + | 0.243154i | ||||
\(409\) | 4.19686e6 | + | 4.19686e6i | 1.24056 | + | 1.24056i | 0.959771 | + | 0.280785i | \(0.0905947\pi\) |
0.280785 | + | 0.959771i | \(0.409405\pi\) | |||||||
\(410\) | 193917. | + | 22146.7i | 0.0569712 | + | 0.00650652i | ||||
\(411\) | 5.77736e6 | + | 2.39306e6i | 1.68704 | + | 0.698794i | ||||
\(412\) | 1.24394e6 | − | 5.37492e6i | 0.361039 | − | 1.56002i | ||||
\(413\) | 1.38068e6 | + | 3.33325e6i | 0.398306 | + | 0.961596i | ||||
\(414\) | −116166. | + | 209437.i | −0.0333104 | + | 0.0600555i | ||||
\(415\) | −19610.1 | −0.00558932 | ||||||||
\(416\) | −2.78536e6 | + | 4.35923e6i | −0.789128 | + | 1.23503i | ||||
\(417\) | 1.82347e6 | 0.513522 | ||||||||
\(418\) | −267187. | + | 481714.i | −0.0747954 | + | 0.134849i | ||||
\(419\) | −162163. | − | 391497.i | −0.0451250 | − | 0.108941i | 0.899710 | − | 0.436488i | \(-0.143778\pi\) |
−0.944835 | + | 0.327547i | \(0.893778\pi\) | |||||||
\(420\) | −102952. | − | 23826.4i | −0.0284780 | − | 0.00659076i | ||||
\(421\) | 4.56770e6 | + | 1.89200e6i | 1.25601 | + | 0.520255i | 0.908682 | − | 0.417489i | \(-0.137090\pi\) |
0.347326 | + | 0.937745i | \(0.387090\pi\) | |||||||
\(422\) | 263442. | + | 30087.0i | 0.0720119 | + | 0.00822428i | ||||
\(423\) | −261159. | − | 261159.i | −0.0709667 | − | 0.0709667i | ||||
\(424\) | 317596. | + | 112754.i | 0.0857948 | + | 0.0304592i | ||||
\(425\) | −681770. | + | 681770.i | −0.183090 | + | 0.183090i | ||||
\(426\) | −4.35753e6 | + | 3.46423e6i | −1.16337 | + | 0.924874i | ||||
\(427\) | −1.42504e6 | + | 3.44036e6i | −0.378232 | + | 0.913134i | ||||
\(428\) | 297116. | − | 49556.5i | 0.0784002 | − | 0.0130765i | ||||
\(429\) | −3.12959e6 | + | 1.29632e6i | −0.821003 | + | 0.340071i | ||||
\(430\) | 193652. | − | 55472.6i | 0.0505069 | − | 0.0144680i | ||||
\(431\) | − | 4.31266e6i | − | 1.11829i | −0.829072 | − | 0.559143i | \(-0.811130\pi\) | ||
0.829072 | − | 0.559143i | \(-0.188870\pi\) | |||||||
\(432\) | −2.78351e6 | + | 2.45733e6i | −0.717602 | + | 0.633510i | ||||
\(433\) | − | 754344.i | − | 0.193352i | −0.995316 | − | 0.0966762i | \(-0.969179\pi\) | ||
0.995316 | − | 0.0966762i | \(-0.0308211\pi\) | |||||||
\(434\) | 184438. | + | 643864.i | 0.0470031 | + | 0.164085i | ||||
\(435\) | −233470. | + | 96706.6i | −0.0591573 | + | 0.0245038i | ||||
\(436\) | 5.45439e6 | + | 3.89500e6i | 1.37414 | + | 0.981275i | ||||
\(437\) | 354778. | − | 856509.i | 0.0888695 | − | 0.214550i | ||||
\(438\) | −280231. | − | 352492.i | −0.0697960 | − | 0.0877939i | ||||
\(439\) | −3.32741e6 | + | 3.32741e6i | −0.824034 | + | 0.824034i | −0.986684 | − | 0.162650i | \(-0.947996\pi\) |
0.162650 | + | 0.986684i | \(0.447996\pi\) | |||||||
\(440\) | 71589.1 | + | 64563.5i | 0.0176285 | + | 0.0158985i | ||||
\(441\) | 117359. | + | 117359.i | 0.0287355 | + | 0.0287355i | ||||
\(442\) | 177155. | − | 1.55117e6i | 0.0431317 | − | 0.377662i | ||||
\(443\) | −1.40682e6 | − | 582722.i | −0.340587 | − | 0.141076i | 0.205833 | − | 0.978587i | \(-0.434010\pi\) |
−0.546420 | + | 0.837511i | \(0.684010\pi\) | |||||||
\(444\) | −1.91543e6 | + | 1.19547e6i | −0.461115 | + | 0.287793i | ||||
\(445\) | −31664.3 | − | 76444.4i | −0.00758002 | − | 0.0182998i | ||||
\(446\) | −5.62020e6 | − | 3.11730e6i | −1.33787 | − | 0.742064i | ||||
\(447\) | −4.25548e6 | −1.00735 | ||||||||
\(448\) | 2.28334e6 | + | 1.85510e6i | 0.537496 | + | 0.436689i | ||||
\(449\) | 7.02116e6 | 1.64359 | 0.821794 | − | 0.569784i | \(-0.192973\pi\) | ||||
0.821794 | + | 0.569784i | \(0.192973\pi\) | |||||||
\(450\) | 292862. | + | 162439.i | 0.0681760 | + | 0.0378145i | ||||
\(451\) | −1.36163e6 | − | 3.28728e6i | −0.315224 | − | 0.761018i | ||||
\(452\) | −4.44625e6 | + | 2.77501e6i | −1.02364 | + | 0.638879i | ||||
\(453\) | 1.23858e6 | + | 513038.i | 0.283583 | + | 0.117464i | ||||
\(454\) | −340108. | + | 2.97799e6i | −0.0774421 | + | 0.678085i | ||||
\(455\) | 128838. | + | 128838.i | 0.0291753 | + | 0.0291753i | ||||
\(456\) | −815358. | + | 904083.i | −0.183627 | + | 0.203609i | ||||
\(457\) | 4.15830e6 | − | 4.15830e6i | 0.931377 | − | 0.931377i | −0.0664154 | − | 0.997792i | \(-0.521156\pi\) |
0.997792 | + | 0.0664154i | \(0.0211562\pi\) | |||||||
\(458\) | 4.30261e6 | + | 5.41209e6i | 0.958447 | + | 1.20560i | ||||
\(459\) | 428831. | − | 1.03529e6i | 0.0950068 | − | 0.229367i | ||||
\(460\) | −132035. | − | 94286.8i | −0.0290935 | − | 0.0207757i | ||||
\(461\) | −1.58159e6 | + | 655116.i | −0.346610 | + | 0.143571i | −0.549195 | − | 0.835694i | \(-0.685066\pi\) |
0.202585 | + | 0.979265i | \(0.435066\pi\) | |||||||
\(462\) | 530502. | + | 1.85195e6i | 0.115633 | + | 0.403669i | ||||
\(463\) | − | 6.44663e6i | − | 1.39759i | −0.715321 | − | 0.698796i | \(-0.753720\pi\) | ||
0.715321 | − | 0.698796i | \(-0.246280\pi\) | |||||||
\(464\) | 7.02179e6 | + | 437030.i | 1.51409 | + | 0.0942359i | ||||
\(465\) | 48505.3i | 0.0104029i | ||||||||
\(466\) | −7.45910e6 | + | 2.13670e6i | −1.59119 | + | 0.455804i | ||||
\(467\) | 2.11968e6 | − | 878001.i | 0.449758 | − | 0.186296i | −0.146295 | − | 0.989241i | \(-0.546735\pi\) |
0.596053 | + | 0.802945i | \(0.296735\pi\) | |||||||
\(468\) | −534897. | + | 89216.2i | −0.112890 | + | 0.0188291i | ||||
\(469\) | −1.67821e6 | + | 4.05157e6i | −0.352302 | + | 0.850533i | ||||
\(470\) | 195853. | − | 155702.i | 0.0408964 | − | 0.0325125i | ||||
\(471\) | 4.81160e6 | − | 4.81160e6i | 0.999395 | − | 0.999395i | ||||
\(472\) | 2.43374e6 | − | 6.85513e6i | 0.502827 | − | 1.41632i | ||||
\(473\) | −2.59671e6 | − | 2.59671e6i | −0.533668 | − | 0.533668i | ||||
\(474\) | −3.07940e6 | − | 351689.i | −0.629535 | − | 0.0718974i | ||||
\(475\) | −1.19768e6 | − | 496096.i | −0.243561 | − | 0.100886i | ||||
\(476\) | −865019. | − | 200194.i | −0.174988 | − | 0.0404980i | ||||
\(477\) | 13519.8 | + | 32639.6i | 0.00272065 | + | 0.00656824i | ||||
\(478\) | 1.45246e6 | − | 2.61864e6i | 0.290759 | − | 0.524212i | ||||
\(479\) | −2.32912e6 | −0.463823 | −0.231912 | − | 0.972737i | \(-0.574498\pi\) | ||||
−0.231912 | + | 0.972737i | \(0.574498\pi\) | |||||||
\(480\) | 121973. | + | 174693.i | 0.0241635 | + | 0.0346077i | ||||
\(481\) | 3.89312e6 | 0.767246 | ||||||||
\(482\) | −2.95619e6 | + | 5.32974e6i | −0.579582 | + | 1.04493i | ||||
\(483\) | −1.24073e6 | − | 2.99539e6i | −0.241997 | − | 0.584231i | ||||
\(484\) | −765751. | + | 3.30874e6i | −0.148585 | + | 0.642021i | ||||
\(485\) | 259682. | + | 107564.i | 0.0501288 | + | 0.0207640i | ||||
\(486\) | −806181. | − | 92071.7i | −0.154825 | − | 0.0176822i | ||||
\(487\) | −1.19139e6 | − | 1.19139e6i | −0.227631 | − | 0.227631i | 0.584071 | − | 0.811702i | \(-0.301459\pi\) |
−0.811702 | + | 0.584071i | \(0.801459\pi\) | |||||||
\(488\) | 6.77929e6 | − | 3.22686e6i | 1.28865 | − | 0.613382i | ||||
\(489\) | −4.10623e6 | + | 4.10623e6i | −0.776554 | + | 0.776554i | ||||
\(490\) | −88011.3 | + | 69968.9i | −0.0165595 | + | 0.0131648i | ||||
\(491\) | 2.41981e6 | − | 5.84194e6i | 0.452979 | − | 1.09359i | −0.518205 | − | 0.855256i | \(-0.673400\pi\) |
0.971184 | − | 0.238331i | \(-0.0766003\pi\) | |||||||
\(492\) | −1.29375e6 | − | 7.75672e6i | −0.240957 | − | 1.44466i | ||||
\(493\) | −1.96166e6 | + | 812547.i | −0.363502 | + | 0.150567i | ||||
\(494\) | 2.01800e6 | − | 578066.i | 0.372052 | − | 0.106576i | ||||
\(495\) | 10105.7i | 0.00185375i | ||||||||
\(496\) | 593274. | − | 1.21309e6i | 0.108281 | − | 0.221405i | ||||
\(497\) | − | 5.45861e6i | − | 0.991268i | ||||||
\(498\) | 217580. | + | 759559.i | 0.0393138 | + | 0.137242i | ||||
\(499\) | 1.65121e6 | − | 683953.i | 0.296859 | − | 0.122963i | −0.229283 | − | 0.973360i | \(-0.573638\pi\) |
0.526142 | + | 0.850397i | \(0.323638\pi\) | |||||||
\(500\) | −263906. | + | 369564.i | −0.0472090 | + | 0.0661095i | ||||
\(501\) | −244942. | + | 591342.i | −0.0435983 | + | 0.105255i | ||||
\(502\) | 1.98946e6 | + | 2.50247e6i | 0.352351 | + | 0.443210i | ||||
\(503\) | −296902. | + | 296902.i | −0.0523231 | + | 0.0523231i | −0.732784 | − | 0.680461i | \(-0.761780\pi\) |
0.680461 | + | 0.732784i | \(0.261780\pi\) | |||||||
\(504\) | 15892.6 | + | 307988.i | 0.00278688 | + | 0.0540079i | ||||
\(505\) | −141194. | − | 141194.i | −0.0246371 | − | 0.0246371i | ||||
\(506\) | −335616. | + | 2.93866e6i | −0.0582728 | + | 0.510238i | ||||
\(507\) | 6.37396e6 | + | 2.64018e6i | 1.10126 | + | 0.456156i | ||||
\(508\) | −78690.8 | − | 126082.i | −0.0135290 | − | 0.0216767i | ||||
\(509\) | −9842.30 | − | 23761.4i | −0.00168384 | − | 0.00406516i | 0.923035 | − | 0.384715i | \(-0.125700\pi\) |
−0.924719 | + | 0.380650i | \(0.875700\pi\) | |||||||
\(510\) | −56231.5 | − | 31189.4i | −0.00957314 | − | 0.00530983i | ||||
\(511\) | 441561. | 0.0748064 | ||||||||
\(512\) | −913774. | − | 5.86084e6i | −0.154051 | − | 0.988063i | ||||
\(513\) | 1.50667e6 | 0.252770 | ||||||||
\(514\) | −3.69673e6 | − | 2.05043e6i | −0.617178 | − | 0.342324i | ||||
\(515\) | 149931. | + | 361964.i | 0.0249099 | + | 0.0601378i | ||||
\(516\) | −4.29725e6 | − | 6.88526e6i | −0.710504 | − | 1.13840i | ||||
\(517\) | −4.21405e6 | − | 1.74552e6i | −0.693383 | − | 0.287209i | ||||
\(518\) | 251223. | − | 2.19971e6i | 0.0411372 | − | 0.360198i | ||||
\(519\) | −1.21453e6 | − | 1.21453e6i | −0.197920 | − | 0.197920i | ||||
\(520\) | −18931.4 | − | 366879.i | −0.00307026 | − | 0.0594996i | ||||
\(521\) | 4.68273e6 | − | 4.68273e6i | 0.755797 | − | 0.755797i | −0.219758 | − | 0.975554i | \(-0.570527\pi\) |
0.975554 | + | 0.219758i | \(0.0705267\pi\) | |||||||
\(522\) | 458952. | + | 577299.i | 0.0737210 | + | 0.0927310i | ||||
\(523\) | −4.15033e6 | + | 1.00198e7i | −0.663480 | + | 1.60178i | 0.128831 | + | 0.991667i | \(0.458877\pi\) |
−0.792312 | + | 0.610117i | \(0.791123\pi\) | |||||||
\(524\) | −7.19488e6 | + | 1.00754e7i | −1.14471 | + | 1.60301i | ||||
\(525\) | −4.18853e6 | + | 1.73495e6i | −0.663229 | + | 0.274719i | ||||
\(526\) | −978907. | − | 3.41731e6i | −0.154268 | − | 0.538543i | ||||
\(527\) | 407550.i | 0.0639226i | ||||||||
\(528\) | 1.70644e6 | − | 3.48922e6i | 0.266383 | − | 0.544683i | ||||
\(529\) | 1.45846e6i | 0.226597i | ||||||||
\(530\) | −23007.9 | + | 6590.72i | −0.00355784 | + | 0.00101916i | ||||
\(531\) | 704507. | − | 291816.i | 0.108430 | − | 0.0449131i | ||||
\(532\) | −196401. | − | 1.17752e6i | −0.0300860 | − | 0.180381i | ||||
\(533\) | −5.18886e6 | + | 1.25270e7i | −0.791141 | + | 1.90998i | ||||
\(534\) | −2.60961e6 | + | 2.07463e6i | −0.396024 | + | 0.314839i | ||||
\(535\) | −15125.8 | + | 15125.8i | −0.00228472 | + | 0.00228472i | ||||
\(536\) | 7.98368e6 | − | 3.80014e6i | 1.20030 | − | 0.571331i | ||||
\(537\) | 6.57426e6 | + | 6.57426e6i | 0.983810 | + | 0.983810i | ||||
\(538\) | 1.48193e6 | + | 169248.i | 0.220736 | + | 0.0252097i | ||||
\(539\) | 1.89369e6 | + | 784392.i | 0.280761 | + | 0.116295i | ||||
\(540\) | 59452.4 | − | 256888.i | 0.00877374 | − | 0.0379105i | ||||
\(541\) | 1.43835e6 | + | 3.47249e6i | 0.211287 | + | 0.510091i | 0.993621 | − | 0.112767i | \(-0.0359714\pi\) |
−0.782335 | + | 0.622858i | \(0.785971\pi\) | |||||||
\(542\) | 2.42210e6 | − | 4.36682e6i | 0.354155 | − | 0.638509i | ||||
\(543\) | −3.86059e6 | −0.561894 | ||||||||
\(544\) | 1.02484e6 | + | 1.46780e6i | 0.148476 | + | 0.212653i | ||||
\(545\) | −475965. | −0.0686410 | ||||||||
\(546\) | 3.56080e6 | − | 6.41980e6i | 0.511171 | − | 0.921594i | ||||
\(547\) | 1.62541e6 | + | 3.92408e6i | 0.232270 | + | 0.560750i | 0.996444 | − | 0.0842605i | \(-0.0268528\pi\) |
−0.764173 | + | 0.645011i | \(0.776853\pi\) | |||||||
\(548\) | 1.20449e7 | + | 2.78759e6i | 1.71337 | + | 0.396531i | ||||
\(549\) | 727146. | + | 301194.i | 0.102965 | + | 0.0426496i | ||||
\(550\) | 4.10921e6 | + | 469301.i | 0.579230 | + | 0.0661523i | ||||
\(551\) | −2.01868e6 | − | 2.01868e6i | −0.283262 | − | 0.283262i | ||||
\(552\) | −2.18705e6 | + | 6.16029e6i | −0.305500 | + | 0.860504i | ||||
\(553\) | 2.14903e6 | − | 2.14903e6i | 0.298834 | − | 0.298834i | ||||
\(554\) | 1.32687e6 | − | 1.05486e6i | 0.183676 | − | 0.146022i | ||||
\(555\) | 61360.5 | − | 148137.i | 0.00845584 | − | 0.0204142i | ||||
\(556\) | 3.55598e6 | − | 593108.i | 0.487835 | − | 0.0813667i | ||||
\(557\) | 616764. | − | 255472.i | 0.0842328 | − | 0.0348904i | −0.340169 | − | 0.940364i | \(-0.610484\pi\) |
0.424402 | + | 0.905474i | \(0.360484\pi\) | |||||||
\(558\) | 136085. | − | 38982.4i | 0.0185023 | − | 0.00530008i | ||||
\(559\) | 1.39943e7i | 1.89418i | ||||||||
\(560\) | −208518. | − | 12978.0i | −0.0280978 | − | 0.00174878i | ||||
\(561\) | 1.17224e6i | 0.157257i | ||||||||
\(562\) | 1.62164e6 | + | 5.66107e6i | 0.216578 | + | 0.756063i | ||||
\(563\) | 66963.1 | − | 27737.0i | 0.00890358 | − | 0.00368798i | −0.378227 | − | 0.925713i | \(-0.623466\pi\) |
0.387131 | + | 0.922025i | \(0.373466\pi\) | |||||||
\(564\) | −8.20388e6 | − | 5.85841e6i | −1.08598 | − | 0.775501i | ||||
\(565\) | 142435. | − | 343868.i | 0.0187713 | − | 0.0453180i | ||||
\(566\) | −6.20292e6 | − | 7.80243e6i | −0.813870 | − | 1.02374i | ||||
\(567\) | 4.01859e6 | − | 4.01859e6i | 0.524947 | − | 0.524947i | ||||
\(568\) | −7.37091e6 | + | 8.17300e6i | −0.958629 | + | 1.06294i | ||||
\(569\) | −5.05653e6 | − | 5.05653e6i | −0.654745 | − | 0.654745i | 0.299387 | − | 0.954132i | \(-0.403218\pi\) |
−0.954132 | + | 0.299387i | \(0.903218\pi\) | |||||||
\(570\) | 9810.19 | − | 85898.2i | 0.00126471 | − | 0.0110738i | ||||
\(571\) | −8.89824e6 | − | 3.68577e6i | −1.14213 | − | 0.473084i | −0.270240 | − | 0.962793i | \(-0.587103\pi\) |
−0.871886 | + | 0.489709i | \(0.837103\pi\) | |||||||
\(572\) | −5.68143e6 | + | 3.54592e6i | −0.726052 | + | 0.453147i | ||||
\(573\) | −3.08396e6 | − | 7.44533e6i | −0.392393 | − | 0.947321i | ||||
\(574\) | 6.74326e6 | + | 3.74021e6i | 0.854260 | + | 0.473823i | ||||
\(575\) | −6.96072e6 | −0.877980 | ||||||||
\(576\) | 392089. | − | 482600.i | 0.0492412 | − | 0.0606082i | ||||
\(577\) | −6.35911e6 | −0.795164 | −0.397582 | − | 0.917567i | \(-0.630151\pi\) | ||||
−0.397582 | + | 0.917567i | \(0.630151\pi\) | |||||||
\(578\) | 6.55137e6 | + | 3.63378e6i | 0.815666 | + | 0.452417i | ||||
\(579\) | 2.29160e6 | + | 5.53241e6i | 0.284081 | + | 0.685832i | ||||
\(580\) | −423840. | + | 264529.i | −0.0523157 | + | 0.0326515i | ||||
\(581\) | −715781. | − | 296486.i | −0.0879711 | − | 0.0364388i | ||||
\(582\) | 1.28503e6 | − | 1.12517e7i | 0.157255 | − | 1.37693i | ||||
\(583\) | 308516. | + | 308516.i | 0.0375930 | + | 0.0375930i | ||||
\(584\) | −661136. | − | 596253.i | −0.0802155 | − | 0.0723433i | ||||
\(585\) | 27230.9 | − | 27230.9i | 0.00328982 | − | 0.00328982i | ||||
\(586\) | −1.15058e6 | − | 1.44728e6i | −0.138412 | − | 0.174104i | ||||
\(587\) | −835435. | + | 2.01692e6i | −0.100073 | + | 0.241598i | −0.965985 | − | 0.258599i | \(-0.916739\pi\) |
0.865912 | + | 0.500197i | \(0.166739\pi\) | |||||||
\(588\) | 3.68662e6 | + | 2.63263e6i | 0.439729 | + | 0.314012i | ||||
\(589\) | −506255. | + | 209698.i | −0.0601286 | + | 0.0249061i | ||||
\(590\) | 142257. | + | 496611.i | 0.0168245 | + | 0.0587336i | ||||
\(591\) | − | 1.16342e6i | − | 0.137015i | ||||||
\(592\) | −3.34648e6 | + | 2.95432e6i | −0.392450 | + | 0.346461i | ||||
\(593\) | − | 2.07838e6i | − | 0.242710i | −0.992609 | − | 0.121355i | \(-0.961276\pi\) | ||
0.992609 | − | 0.121355i | \(-0.0387239\pi\) | |||||||
\(594\) | −4.62105e6 | + | 1.32372e6i | −0.537371 | + | 0.153933i | ||||
\(595\) | 58253.1 | − | 24129.2i | 0.00674570 | − | 0.00279416i | ||||
\(596\) | −8.29869e6 | + | 1.38415e6i | −0.956960 | + | 0.159613i | ||||
\(597\) | 3.99428e6 | − | 9.64304e6i | 0.458672 | − | 1.10733i | ||||
\(598\) | 8.82290e6 | − | 7.01419e6i | 1.00892 | − | 0.802093i | ||||
\(599\) | −9.69064e6 | + | 9.69064e6i | −1.10353 | + | 1.10353i | −0.109553 | + | 0.993981i | \(0.534942\pi\) |
−0.993981 | + | 0.109553i | \(0.965058\pi\) | |||||||
\(600\) | 8.61410e6 | + | 3.05821e6i | 0.976859 | + | 0.346808i | ||||
\(601\) | −358495. | − | 358495.i | −0.0404852 | − | 0.0404852i | 0.686574 | − | 0.727060i | \(-0.259114\pi\) |
−0.727060 | + | 0.686574i | \(0.759114\pi\) | |||||||
\(602\) | 7.90713e6 | + | 903051.i | 0.889258 | + | 0.101560i | ||||
\(603\) | 856329. | + | 354703.i | 0.0959063 | + | 0.0397257i | ||||
\(604\) | 2.58225e6 | + | 597619.i | 0.288009 | + | 0.0666549i | ||||
\(605\) | −92295.4 | − | 222821.i | −0.0102516 | − | 0.0247496i | ||||
\(606\) | −3.90230e6 | + | 7.03549e6i | −0.431658 | + | 0.778239i | ||||
\(607\) | 1.31076e7 | 1.44394 | 0.721972 | − | 0.691923i | \(-0.243236\pi\) | ||||
0.721972 | + | 0.691923i | \(0.243236\pi\) | |||||||
\(608\) | −1.29598e6 | + | 2.02827e6i | −0.142180 | + | 0.222519i | ||||
\(609\) | −9.98395e6 | −1.09084 | ||||||||
\(610\) | −258618. | + | 466265.i | −0.0281407 | + | 0.0507350i | ||||
\(611\) | 6.65174e6 | + | 1.60587e7i | 0.720829 | + | 1.74024i | ||||
\(612\) | −42312.5 | + | 182828.i | −0.00456657 | + | 0.0197317i | ||||
\(613\) | 4.88906e6 | + | 2.02511e6i | 0.525501 | + | 0.217670i | 0.629632 | − | 0.776894i | \(-0.283206\pi\) |
−0.104130 | + | 0.994564i | \(0.533206\pi\) | |||||||
\(614\) | −8.65221e6 | − | 988144.i | −0.926203 | − | 0.105779i | ||||
\(615\) | 394884. | + | 394884.i | 0.0421000 | + | 0.0421000i | ||||
\(616\) | 1.63691e6 | + | 3.43898e6i | 0.173810 | + | 0.365155i | ||||
\(617\) | 7.98865e6 | − | 7.98865e6i | 0.844812 | − | 0.844812i | −0.144668 | − | 0.989480i | \(-0.546211\pi\) |
0.989480 | + | 0.144668i | \(0.0462114\pi\) | |||||||
\(618\) | 1.23565e7 | − | 9.82338e6i | 1.30144 | − | 1.03464i | ||||
\(619\) | 4.92433e6 | − | 1.18884e7i | 0.516559 | − | 1.24708i | −0.423445 | − | 0.905922i | \(-0.639179\pi\) |
0.940004 | − | 0.341162i | \(-0.110821\pi\) | |||||||
\(620\) | 15777.0 | + | 94591.0i | 0.00164833 | + | 0.00988258i | ||||
\(621\) | 7.47418e6 | − | 3.09590e6i | 0.777740 | − | 0.322150i | ||||
\(622\) | −1.01210e7 | + | 2.89922e6i | −1.04894 | + | 0.300473i | ||||
\(623\) | − | 3.26901e6i | − | 0.337440i | ||||||
\(624\) | −1.40003e7 | + | 4.80390e6i | −1.43938 | + | 0.493893i | ||||
\(625\) | 9.71724e6i | 0.995045i | ||||||||
\(626\) | −2.33947e6 | − | 8.16695e6i | −0.238606 | − | 0.832960i | ||||
\(627\) | −1.45615e6 | + | 603156.i | −0.147923 | + | 0.0612718i | ||||
\(628\) | 7.81815e6 | − | 1.09482e7i | 0.791052 | − | 1.10776i | ||||
\(629\) | 515563. | − | 1.24468e6i | 0.0519583 | − | 0.125438i | ||||
\(630\) | −13628.9 | − | 17143.4i | −0.00136808 | − | 0.00172086i | ||||
\(631\) | 1.20522e7 | − | 1.20522e7i | 1.20501 | − | 1.20501i | 0.232389 | − | 0.972623i | \(-0.425346\pi\) |
0.972623 | − | 0.232389i | \(-0.0746544\pi\) | |||||||
\(632\) | −6.11958e6 | + | 315778.i | −0.609437 | + | 0.0314477i | ||||
\(633\) | 536464. | + | 536464.i | 0.0532146 | + | 0.0532146i | ||||
\(634\) | −712152. | + | 6.23562e6i | −0.0703639 | + | 0.616107i | ||||
\(635\) | 9751.04 | + | 4039.01i | 0.000959658 | + | 0.000397503i | ||||
\(636\) | 510558. | + | 818040.i | 0.0500498 | + | 0.0801921i | ||||
\(637\) | −2.98913e6 | − | 7.21640e6i | −0.291875 | − | 0.704648i | ||||
\(638\) | 7.96494e6 | + | 4.41783e6i | 0.774695 | + | 0.429692i | ||||
\(639\) | −1.15372e6 | −0.111776 | ||||||||
\(640\) | 294682. | + | 300999.i | 0.0284383 | + | 0.0290479i | ||||
\(641\) | −1.53916e7 | −1.47958 | −0.739788 | − | 0.672840i | \(-0.765074\pi\) | ||||
−0.739788 | + | 0.672840i | \(0.765074\pi\) | |||||||
\(642\) | 753694. | + | 418044.i | 0.0721702 | + | 0.0400299i | ||||
\(643\) | 4.37786e6 | + | 1.05691e7i | 0.417575 | + | 1.00811i | 0.983048 | + | 0.183348i | \(0.0586934\pi\) |
−0.565474 | + | 0.824766i | \(0.691307\pi\) | |||||||
\(644\) | −3.39386e6 | − | 5.43779e6i | −0.322462 | − | 0.516664i | ||||
\(645\) | 532498. | + | 220568.i | 0.0503986 | + | 0.0208758i | ||||
\(646\) | 82427.1 | − | 721733.i | 0.00777121 | − | 0.0680448i | ||||
\(647\) | −6.52550e6 | − | 6.52550e6i | −0.612849 | − | 0.612849i | 0.330839 | − | 0.943687i | \(-0.392668\pi\) |
−0.943687 | + | 0.330839i | \(0.892668\pi\) | |||||||
\(648\) | −1.14433e7 | + | 590490.i | −1.07057 | + | 0.0552427i | ||||
\(649\) | 6.65914e6 | − | 6.65914e6i | 0.620593 | − | 0.620593i | ||||
\(650\) | −9.80814e6 | − | 1.23373e7i | −0.910549 | − | 1.14535i | ||||
\(651\) | −733355. | + | 1.77048e6i | −0.0678206 | + | 0.163734i | ||||
\(652\) | −6.67204e6 | + | 9.34325e6i | −0.614666 | + | 0.860754i | ||||
\(653\) | 6.41840e6 | − | 2.65859e6i | 0.589039 | − | 0.243988i | −0.0681982 | − | 0.997672i | \(-0.521725\pi\) |
0.657237 | + | 0.753684i | \(0.271725\pi\) | |||||||
\(654\) | 5.28098e6 | + | 1.84356e7i | 0.482803 | + | 1.68544i | ||||
\(655\) | − | 879208.i | − | 0.0800734i | ||||||
\(656\) | −5.04595e6 | − | 1.47057e7i | −0.457808 | − | 1.33422i | ||||
\(657\) | − | 93327.3i | − | 0.00843520i | ||||||
\(658\) | 9.50284e6 | − | 2.72214e6i | 0.855635 | − | 0.245101i | ||||
\(659\) | 1.22358e7 | − | 5.06822e6i | 1.09753 | − | 0.454613i | 0.240906 | − | 0.970549i | \(-0.422556\pi\) |
0.856627 | + | 0.515935i | \(0.172556\pi\) | |||||||
\(660\) | 45379.5 | + | 272073.i | 0.00405508 | + | 0.0243123i | ||||
\(661\) | 2.22223e6 | − | 5.36495e6i | 0.197827 | − | 0.477597i | −0.793571 | − | 0.608478i | \(-0.791780\pi\) |
0.991398 | + | 0.130881i | \(0.0417805\pi\) | |||||||
\(662\) | 6.37445e6 | − | 5.06767e6i | 0.565324 | − | 0.449432i | ||||
\(663\) | 3.15874e6 | − | 3.15874e6i | 0.279081 | − | 0.279081i | ||||
\(664\) | 671363. | + | 1.41046e6i | 0.0590931 | + | 0.124148i | ||||
\(665\) | 59946.2 | + | 59946.2i | 0.00525663 | + | 0.00525663i | ||||
\(666\) | −464925. | − | 53097.8i | −0.0406160 | − | 0.00463864i | ||||
\(667\) | −1.41620e7 | − | 5.86610e6i | −1.23257 | − | 0.510546i | ||||
\(668\) | −285324. | + | 1.23286e6i | −0.0247399 | + | 0.106899i | ||||
\(669\) | −7.03708e6 | − | 1.69890e7i | −0.607893 | − | 1.46758i | ||||
\(670\) | −304564. | + | 549100.i | −0.0262115 | + | 0.0472568i | ||||
\(671\) | 9.72008e6 | 0.833419 | ||||||||
\(672\) | 1.81089e6 | + | 8.22053e6i | 0.154692 | + | 0.702226i | ||||
\(673\) | −1.23747e7 | −1.05317 | −0.526583 | − | 0.850124i | \(-0.676527\pi\) | ||||
−0.526583 | + | 0.850124i | \(0.676527\pi\) | |||||||
\(674\) | −7.06539e6 | + | 1.27382e7i | −0.599082 | + | 1.08009i | ||||
\(675\) | −4.32909e6 | − | 1.04514e7i | −0.365710 | − | 0.882903i | ||||
\(676\) | 1.32887e7 | + | 3.07545e6i | 1.11845 | + | 0.258846i | ||||
\(677\) | −281503. | − | 116602.i | −0.0236054 | − | 0.00977768i | 0.370850 | − | 0.928693i | \(-0.379067\pi\) |
−0.394455 | + | 0.918915i | \(0.629067\pi\) | |||||||
\(678\) | −1.48994e7 | − | 1.70162e6i | −1.24479 | − | 0.142164i | ||||
\(679\) | 7.85230e6 | + | 7.85230e6i | 0.653616 | + | 0.653616i | ||||
\(680\) | −119803. | − | 42532.9i | −0.00993562 | − | 0.00352738i | ||||
\(681\) | −6.06426e6 | + | 6.06426e6i | −0.501084 | + | 0.501084i | ||||
\(682\) | 1.36848e6 | − | 1.08794e6i | 0.112662 | − | 0.0895658i | ||||
\(683\) | 3.15725e6 | − | 7.62228e6i | 0.258975 | − | 0.625220i | −0.739896 | − | 0.672721i | \(-0.765126\pi\) |
0.998871 | + | 0.0475004i | \(0.0151255\pi\) | |||||||
\(684\) | −248878. | + | 41510.8i | −0.0203398 | + | 0.00339251i | ||||
\(685\) | −811143. | + | 335986.i | −0.0660497 | + | 0.0273587i | ||||
\(686\) | −1.24762e7 | + | 3.57388e6i | −1.01221 | + | 0.289954i | ||||
\(687\) | 1.97826e7i | 1.59916i | ||||||||
\(688\) | −1.06197e7 | − | 1.20293e7i | −0.855342 | − | 0.968880i | ||||
\(689\) | − | 1.66266e6i | − | 0.133431i | ||||||
\(690\) | −127837. | − | 446274.i | −0.0102220 | − | 0.0356844i | ||||
\(691\) | 5.83716e6 | − | 2.41783e6i | 0.465058 | − | 0.192633i | −0.137836 | − | 0.990455i | \(-0.544015\pi\) |
0.602893 | + | 0.797822i | \(0.294015\pi\) | |||||||
\(692\) | −2.76352e6 | − | 1.97343e6i | −0.219380 | − | 0.156660i | ||||
\(693\) | −152789. | + | 368864.i | −0.0120853 | + | 0.0291765i | ||||
\(694\) | 1.13532e7 | + | 1.42807e7i | 0.894783 | + | 1.12552i | ||||
\(695\) | −181030. | + | 181030.i | −0.0142164 | + | 0.0142164i | ||||
\(696\) | 1.49486e7 | + | 1.34816e7i | 1.16971 | + | 1.05492i | ||||
\(697\) | 3.31789e6 | + | 3.31789e6i | 0.258690 | + | 0.258690i | ||||
\(698\) | −845338. | + | 7.40179e6i | −0.0656738 | + | 0.575040i | ||||
\(699\) | −2.05108e7 | − | 8.49585e6i | −1.58778 | − | 0.657679i | ||||
\(700\) | −7.60382e6 | + | 4.74573e6i | −0.586525 | + | 0.366065i | ||||
\(701\) | 9.43551e6 | + | 2.27793e7i | 0.725221 | + | 1.75084i | 0.657897 | + | 0.753108i | \(0.271446\pi\) |
0.0673239 | + | 0.997731i | \(0.478554\pi\) | |||||||
\(702\) | 1.60189e7 | + | 8.88502e6i | 1.22684 | + | 0.680480i | ||||
\(703\) | 1.81140e6 | 0.138238 | ||||||||
\(704\) | 2.19285e6 | − | 7.35944e6i | 0.166754 | − | 0.559645i | ||||
\(705\) | 715893. | 0.0542469 | ||||||||
\(706\) | −7.70838e6 | − | 4.27553e6i | −0.582038 | − | 0.322833i | ||||
\(707\) | −3.01896e6 | − | 7.28842e6i | −0.227148 | − | 0.548384i | ||||
\(708\) | 1.76569e7 | − | 1.10201e7i | 1.32383 | − | 0.826233i | ||||
\(709\) | 1.92972e6 | + | 799317.i | 0.144171 | + | 0.0597178i | 0.453603 | − | 0.891204i | \(-0.350139\pi\) |
−0.309431 | + | 0.950922i | \(0.600139\pi\) | |||||||
\(710\) | 88685.1 | − | 776528.i | 0.00660244 | − | 0.0578111i | ||||
\(711\) | −454214. | − | 454214.i | −0.0336966 | − | 0.0336966i | ||||
\(712\) | −4.41424e6 | + | 4.89458e6i | −0.326329 | + | 0.361839i | ||||
\(713\) | −2.08050e6 | + | 2.08050e6i | −0.153265 | + | 0.153265i | ||||
\(714\) | −1.58094e6 | − | 1.98860e6i | −0.116056 | − | 0.145983i | ||||
\(715\) | 182004. | − | 439396.i | 0.0133142 | − | 0.0321433i | ||||
\(716\) | 1.49589e7 | + | 1.06822e7i | 1.09048 | + | 0.778716i | ||||
\(717\) | 7.91576e6 | − | 3.27882e6i | 0.575036 | − | 0.238188i | ||||
\(718\) | 859524. | + | 3.00055e6i | 0.0622224 | + | 0.217215i | ||||
\(719\) | 1.73078e7i | 1.24859i | 0.781190 | + | 0.624293i | \(0.214613\pi\) | ||||
−0.781190 | + | 0.624293i | \(0.785387\pi\) | |||||||
\(720\) | −2742.99 | + | 44071.8i | −0.000197193 | + | 0.00316832i | ||||
\(721\) | 1.54788e7i | 1.10892i | ||||||||
\(722\) | −1.25264e7 | + | 3.58826e6i | −0.894302 | + | 0.256177i | ||||
\(723\) | −1.61110e7 | + | 6.67339e6i | −1.14624 | + | 0.474789i | ||||
\(724\) | −7.52861e6 | + | 1.25571e6i | −0.533788 | + | 0.0890312i | ||||
\(725\) | −8.20274e6 | + | 1.98032e7i | −0.579581 | + | 1.39923i | ||||
\(726\) | −7.60650e6 | + | 6.04715e6i | −0.535603 | + | 0.425804i | ||||
\(727\) | 8.01518e6 | − | 8.01518e6i | 0.562442 | − | 0.562442i | −0.367559 | − | 0.930000i | \(-0.619806\pi\) |
0.930000 | + | 0.367559i | \(0.119806\pi\) | |||||||
\(728\) | 4.85586e6 | − | 1.36776e7i | 0.339577 | − | 0.956489i | ||||
\(729\) | 9.23498e6 | + | 9.23498e6i | 0.643602 | + | 0.643602i | ||||
\(730\) | 62815.4 | + | 7173.97i | 0.00436274 | + | 0.000498256i | ||||
\(731\) | 4.47415e6 | + | 1.85325e6i | 0.309683 | + | 0.128275i | ||||
\(732\) | 2.09293e7 | + | 4.84374e6i | 1.44370 | + | 0.334120i | ||||
\(733\) | −9.51812e6 | − | 2.29788e7i | −0.654321 | − | 1.57967i | −0.806444 | − | 0.591310i | \(-0.798611\pi\) |
0.152123 | − | 0.988362i | \(-0.451389\pi\) | |||||||
\(734\) | 1.06389e6 | − | 1.91810e6i | 0.0728882 | − | 0.131411i | ||||
\(735\) | −321705. | −0.0219654 | ||||||||
\(736\) | −2.26129e6 | + | 1.27247e7i | −0.153873 | + | 0.865867i | ||||
\(737\) | 1.14469e7 | 0.776283 | ||||||||
\(738\) | 790521. | − | 1.42524e6i | 0.0534285 | − | 0.0963266i | ||||
\(739\) | −4.57465e6 | − | 1.10442e7i | −0.308139 | − | 0.743914i | −0.999765 | − | 0.0216584i | \(-0.993105\pi\) |
0.691626 | − | 0.722256i | \(-0.256895\pi\) | |||||||
\(740\) | 71476.7 | − | 308844.i | 0.00479827 | − | 0.0207329i | ||||
\(741\) | 5.54903e6 | + | 2.29848e6i | 0.371254 | + | 0.153779i | ||||
\(742\) | −939449. | − | 107292.i | −0.0626417 | − | 0.00715413i | ||||
\(743\) | 2.29256e6 | + | 2.29256e6i | 0.152352 | + | 0.152352i | 0.779168 | − | 0.626816i | \(-0.215642\pi\) |
−0.626816 | + | 0.779168i | \(0.715642\pi\) | |||||||
\(744\) | 3.48875e6 | − | 1.66061e6i | 0.231067 | − | 0.109985i | ||||
\(745\) | 422475. | − | 422475.i | 0.0278875 | − | 0.0278875i | ||||
\(746\) | 1.77582e7 | − | 1.41178e7i | 1.16829 | − | 0.928792i | ||||
\(747\) | −62664.6 | + | 151286.i | −0.00410885 | + | 0.00991965i | ||||
\(748\) | 381287. | + | 2.28601e6i | 0.0249171 | + | 0.149391i | ||||
\(749\) | −780790. | + | 323414.i | −0.0508546 | + | 0.0210646i | ||||
\(750\) | −1.24911e6 | + | 357814.i | −0.0810862 | + | 0.0232276i | ||||
\(751\) | 1.28174e7i | 0.829276i | 0.909987 | + | 0.414638i | \(0.136092\pi\) | ||||
−0.909987 | + | 0.414638i | \(0.863908\pi\) | |||||||
\(752\) | −1.79041e7 | − | 8.75618e6i | −1.15453 | − | 0.564638i | ||||
\(753\) | 9.14719e6i | 0.587896i | ||||||||
\(754\) | −9.55809e6 | − | 3.33668e7i | −0.612270 | − | 2.13740i | ||||
\(755\) | −173897. | + | 72030.6i | −0.0111026 | + | 0.00459885i | ||||
\(756\) | 6.05397e6 | − | 8.47773e6i | 0.385244 | − | 0.539480i | ||||
\(757\) | −2.29625e6 | + | 5.54365e6i | −0.145640 | + | 0.351606i | −0.979819 | − | 0.199888i | \(-0.935942\pi\) |
0.834179 | + | 0.551494i | \(0.185942\pi\) | |||||||
\(758\) | −5.63062e6 | − | 7.08255e6i | −0.355945 | − | 0.447731i | ||||
\(759\) | −5.98416e6 | + | 5.98416e6i | −0.377050 | + | 0.377050i | ||||
\(760\) | −8808.47 | − | 170703.i | −0.000553180 | − | 0.0107203i | ||||
\(761\) | 1.56002e7 | + | 1.56002e7i | 0.976492 | + | 0.976492i | 0.999730 | − | 0.0232379i | \(-0.00739751\pi\) |
−0.0232379 | + | 0.999730i | \(0.507398\pi\) | |||||||
\(762\) | 48252.8 | − | 422502.i | 0.00301047 | − | 0.0263598i | ||||
\(763\) | −1.73731e7 | − | 7.19616e6i | −1.08035 | − | 0.447496i | ||||
\(764\) | −8.43577e6 | − | 1.35162e7i | −0.522867 | − | 0.837761i | ||||
\(765\) | −5099.89 | − | 12312.2i | −0.000315070 | − | 0.000760647i | ||||
\(766\) | 704896. | + | 390978.i | 0.0434064 | + | 0.0240758i | ||||
\(767\) | −3.58876e7 | −2.20271 | ||||||||
\(768\) | 8.38903e6 | − | 1.47536e7i | 0.513226 | − | 0.902601i | ||||
\(769\) | −902297. | −0.0550216 | −0.0275108 | − | 0.999622i | \(-0.508758\pi\) | ||||
−0.0275108 | + | 0.999622i | \(0.508758\pi\) | |||||||
\(770\) | −236525. | − | 131191.i | −0.0143764 | − | 0.00797402i | ||||
\(771\) | −4.62870e6 | − | 1.11747e7i | −0.280429 | − | 0.677015i | ||||
\(772\) | 6.26837e6 | + | 1.00435e7i | 0.378540 | + | 0.606514i | ||||
\(773\) | 2.40926e7 | + | 9.97950e6i | 1.45023 | + | 0.600703i | 0.962253 | − | 0.272156i | \(-0.0877367\pi\) |
0.487972 | + | 0.872859i | \(0.337737\pi\) | |||||||
\(774\) | 190866. | − | 1.67123e6i | 0.0114519 | − | 0.100273i | ||||
\(775\) | 2.90922e6 | + | 2.90922e6i | 0.173989 | + | 0.173989i | ||||
\(776\) | −1.15381e6 | − | 2.23602e7i | −0.0687831 | − | 1.33297i | ||||
\(777\) | 4.47941e6 | − | 4.47941e6i | 0.266175 | − | 0.266175i | ||||
\(778\) | −1.43843e7 | − | 1.80935e7i | −0.851999 | − | 1.07170i | ||||
\(779\) | −2.41429e6 | + | 5.82861e6i | −0.142543 | + | 0.344129i | ||||
\(780\) | 610852. | − | 855412.i | 0.0359500 | − | 0.0503430i | ||||
\(781\) | −1.31637e7 | + | 5.45259e6i | −0.772237 | + | 0.319871i | ||||
\(782\) | −1.07411e6 | − | 3.74968e6i | −0.0628107 | − | 0.219269i | ||||
\(783\) | − | 2.49123e7i | − | 1.45214i | ||||||
\(784\) | 8.04565e6 | + | 3.93481e6i | 0.467488 | + | 0.228630i | ||||
\(785\) | 955371.i | 0.0553348i | ||||||||
\(786\) | −3.40545e7 | + | 9.75508e6i | −1.96615 | + | 0.563215i | ||||
\(787\) | 1.98015e6 | − | 820205.i | 0.113962 | − | 0.0472047i | −0.324974 | − | 0.945723i | \(-0.605355\pi\) |
0.438936 | + | 0.898518i | \(0.355355\pi\) | |||||||
\(788\) | −378418. | − | 2.26881e6i | −0.0217098 | − | 0.130161i | ||||
\(789\) | 3.89229e6 | − | 9.39682e6i | 0.222594 | − | 0.537388i | ||||
\(790\) | 340631. | − | 270801.i | 0.0194185 | − | 0.0154377i | ||||
\(791\) | 1.03979e7 | − | 1.03979e7i | 0.590889 | − | 0.590889i | ||||
\(792\) | 726853. | − | 345974.i | 0.0411750 | − | 0.0195988i | ||||
\(793\) | −2.61919e7 | − | 2.61919e7i | −1.47905 | − | 1.47905i | ||||
\(794\) | 1.68465e7 | + | 1.92399e6i | 0.948326 | + | 0.108306i | ||||
\(795\) | −63266.3 | − | 26205.7i | −0.00355021 | − | 0.00147055i | ||||
\(796\) | 4.65279e6 | − | 2.01043e7i | 0.260274 | − | 1.12462i | ||||
\(797\) | 3.63608e6 | + | 8.77827e6i | 0.202762 | + | 0.489512i | 0.992250 | − | 0.124254i | \(-0.0396538\pi\) |
−0.789488 | + | 0.613766i | \(0.789654\pi\) | |||||||
\(798\) | 1.65678e6 | − | 2.98702e6i | 0.0920996 | − | 0.166047i | ||||
\(799\) | 6.01506e6 | 0.333329 | ||||||||
\(800\) | 1.77932e7 | + | 3.16203e6i | 0.982947 | + | 0.174679i | ||||
\(801\) | −690930. | −0.0380498 | ||||||||
\(802\) | 7.08518e6 | − | 1.27739e7i | 0.388969 | − | 0.701275i | ||||
\(803\) | −441074. | − | 1.06485e6i | −0.0241392 | − | 0.0582772i | ||||
\(804\) | 2.46476e7 | + | 5.70427e6i | 1.34473 | + | 0.311214i | ||||
\(805\) | 420553. | + | 174199.i | 0.0228734 | + | 0.00947447i | ||||
\(806\) | −6.61908e6 | − | 755947.i | −0.358889 | − | 0.0409877i | ||||
\(807\) | 3.01775e6 | + | 3.01775e6i | 0.163117 | + | 0.163117i | ||||
\(808\) | −5.32157e6 | + | 1.49893e7i | −0.286755 | + | 0.807706i | ||||
\(809\) | −7.81387e6 | + | 7.81387e6i | −0.419754 | + | 0.419754i | −0.885119 | − | 0.465365i | \(-0.845923\pi\) |
0.465365 | + | 0.885119i | \(0.345923\pi\) | |||||||
\(810\) | 636963. | − | 506385.i | 0.0341116 | − | 0.0271186i | ||||
\(811\) | 2.72035e6 | − | 6.56751e6i | 0.145235 | − | 0.350629i | −0.834475 | − | 0.551045i | \(-0.814229\pi\) |
0.979711 | + | 0.200416i | \(0.0642292\pi\) | |||||||
\(812\) | −1.94699e7 | + | 3.24741e6i | −1.03627 | + | 0.172841i | ||||
\(813\) | 1.32002e7 | − | 5.46771e6i | 0.700414 | − | 0.290121i | ||||
\(814\) | −5.55566e6 | + | 1.59145e6i | −0.293883 | + | 0.0841844i | ||||
\(815\) | − | 815317.i | − | 0.0429964i | ||||||
\(816\) | −318182. | + | 5.11225e6i | −0.0167282 | + | 0.268774i | ||||
\(817\) | 6.51130e6i | 0.341281i | ||||||||
\(818\) | 9.24584e6 | + | 3.22767e7i | 0.483129 | + | 1.68658i | ||||
\(819\) | 1.40565e6 | − | 582240.i | 0.0732265 | − | 0.0303314i | ||||
\(820\) | 898512. | + | 641629.i | 0.0466648 | + | 0.0333234i | ||||
\(821\) | −4.33547e6 | + | 1.04667e7i | −0.224480 | + | 0.541943i | −0.995489 | − | 0.0948818i | \(-0.969753\pi\) |
0.771008 | + | 0.636825i | \(0.219753\pi\) | |||||||
\(822\) | 2.20137e7 | + | 2.76902e7i | 1.13635 | + | 1.42938i | ||||
\(823\) | 4.64730e6 | − | 4.64730e6i | 0.239167 | − | 0.239167i | −0.577338 | − | 0.816505i | \(-0.695909\pi\) |
0.816505 | + | 0.577338i | \(0.195909\pi\) | |||||||
\(824\) | 2.09014e7 | − | 2.31759e7i | 1.07240 | − | 1.18910i | ||||
\(825\) | 8.36783e6 | + | 8.36783e6i | 0.428033 | + | 0.428033i | ||||
\(826\) | −2.31583e6 | + | 2.02774e7i | −0.118102 | + | 1.03410i | ||||
\(827\) | 3.07509e6 | + | 1.27374e6i | 0.156349 | + | 0.0647618i | 0.459485 | − | 0.888185i | \(-0.348034\pi\) |
−0.303137 | + | 0.952947i | \(0.598034\pi\) | |||||||
\(828\) | −1.14932e6 | + | 717317.i | −0.0582592 | + | 0.0363609i | ||||
\(829\) | −1.12391e7 | − | 2.71337e7i | −0.567998 | − | 1.37127i | −0.903240 | − | 0.429136i | \(-0.858818\pi\) |
0.335242 | − | 0.942132i | \(-0.391182\pi\) | |||||||
\(830\) | −97008.3 | − | 53806.6i | −0.00488780 | − | 0.00271107i | ||||
\(831\) | 4.85004e6 | 0.243637 | ||||||||
\(832\) | −2.57397e7 | + | 1.39220e7i | −1.28913 | + | 0.697256i | ||||
\(833\) | −2.70302e6 | −0.134970 | ||||||||
\(834\) | 9.02046e6 | + | 5.00328e6i | 0.449069 | + | 0.249081i | ||||
\(835\) | −34389.9 | − | 83024.6i | −0.00170693 | − | 0.00412089i | ||||
\(836\) | −2.64347e6 | + | 1.64986e6i | −0.130816 | + | 0.0816452i | ||||
\(837\) | −4.41775e6 | − | 1.82989e6i | −0.217965 | − | 0.0902841i | ||||
\(838\) | 271999. | − | 2.38163e6i | 0.0133800 | − | 0.117156i | ||||
\(839\) | 9.64715e6 | + | 9.64715e6i | 0.473145 | + | 0.473145i | 0.902931 | − | 0.429786i | \(-0.141411\pi\) |
−0.429786 | + | 0.902931i | \(0.641411\pi\) | |||||||
\(840\) | −443912. | − | 400347.i | −0.0217069 | − | 0.0195767i | ||||
\(841\) | −1.88744e7 | + | 1.88744e7i | −0.920202 | + | 0.920202i | ||||
\(842\) | 1.74044e7 | + | 2.18924e7i | 0.846019 | + | 1.06418i | ||||
\(843\) | −6.44791e6 | + | 1.55666e7i | −0.312500 | + | 0.754442i | ||||
\(844\) | 1.22066e6 | + | 871676.i | 0.0589846 | + | 0.0421210i | ||||
\(845\) | −894905. | + | 370682.i | −0.0431157 | + | 0.0178591i | ||||
\(846\) | −575344. | − | 2.00849e6i | −0.0276377 | − | 0.0964817i | ||||
\(847\) | − | 9.52854e6i | − | 0.456371i | ||||||
\(848\) | 1.26173e6 | + | 1.42921e6i | 0.0602526 | + | 0.0682505i | ||||
\(849\) | − | 2.85199e7i | − | 1.35794i | ||||||
\(850\) | −5.24328e6 | + | 1.50197e6i | −0.248918 | + | 0.0713038i | ||||
\(851\) | 8.98583e6 | − | 3.72205e6i | 0.425338 | − | 0.176181i | ||||
\(852\) | −3.10613e7 | + | 5.18076e6i | −1.46596 | + | 0.244509i | ||||
\(853\) | 3.33293e6 | − | 8.04640e6i | 0.156839 | − | 0.378642i | −0.825854 | − | 0.563884i | \(-0.809307\pi\) |
0.982693 | + | 0.185241i | \(0.0593067\pi\) | |||||||
\(854\) | −1.64892e7 | + | 1.31089e7i | −0.773670 | + | 0.615067i | ||||
\(855\) | 12670.1 | − | 12670.1i | 0.000592739 | − | 0.000592739i | ||||
\(856\) | 1.60577e6 | + | 570086.i | 0.0749028 | + | 0.0265923i | ||||
\(857\) | 128369. | + | 128369.i | 0.00597046 | + | 0.00597046i | 0.710086 | − | 0.704115i | \(-0.248656\pi\) |
−0.704115 | + | 0.710086i | \(0.748656\pi\) | |||||||
\(858\) | −1.90385e7 | − | 2.17434e6i | −0.882908 | − | 0.100834i | ||||
\(859\) | 3.82676e7 | + | 1.58510e7i | 1.76949 | + | 0.732947i | 0.994944 | + | 0.100431i | \(0.0320221\pi\) |
0.774547 | + | 0.632516i | \(0.217978\pi\) | |||||||
\(860\) | 1.11018e6 | + | 256931.i | 0.0511854 | + | 0.0118460i | ||||
\(861\) | 8.44326e6 | + | 2.03838e7i | 0.388152 | + | 0.937083i | ||||
\(862\) | 1.18332e7 | − | 2.13342e7i | 0.542418 | − | 0.977929i | ||||
\(863\) | 6.35352e6 | 0.290394 | 0.145197 | − | 0.989403i | \(-0.453618\pi\) | ||||
0.145197 | + | 0.989403i | \(0.453618\pi\) | |||||||
\(864\) | −2.05121e7 | + | 4.51859e6i | −0.934816 | + | 0.205929i | ||||
\(865\) | 241152. | 0.0109585 | ||||||||
\(866\) | 2.06979e6 | − | 3.73163e6i | 0.0937844 | − | 0.169085i | ||||
\(867\) | 8.20300e6 | + | 1.98038e7i | 0.370617 | + | 0.894747i | ||||
\(868\) | −854259. | + | 3.69117e6i | −0.0384849 | + | 0.166290i | ||||
\(869\) | −7.32916e6 | − | 3.03584e6i | −0.329234 | − | 0.136373i | ||||
\(870\) | −1.42029e6 | − | 162207.i | −0.0636179 | − | 0.00726562i | ||||
\(871\) | −3.08450e7 | − | 3.08450e7i | −1.37765 | − | 1.37765i | ||||
\(872\) | 1.62949e7 | + | 3.42339e7i | 0.725708 | + | 1.52463i | ||||
\(873\) | 1.65964e6 | − | 1.65964e6i | 0.0737019 | − | 0.0737019i | ||||
\(874\) | 4.10515e6 | − | 3.26358e6i | 0.181782 | − | 0.144516i | ||||
\(875\) | 487577. | − | 1.17711e6i | 0.0215290 | − | 0.0519755i | ||||
\(876\) | −419086. | − | 2.51263e6i | −0.0184520 | − | 0.110629i | ||||
\(877\) | −9.38709e6 | + | 3.88826e6i | −0.412128 | + | 0.170709i | −0.579107 | − | 0.815251i | \(-0.696599\pi\) |
0.166979 | + | 0.985960i | \(0.446599\pi\) | |||||||
\(878\) | −2.55901e7 | + | 7.33041e6i | −1.12030 | + | 0.320916i | ||||
\(879\) | − | 5.29019e6i | − | 0.230940i | ||||||
\(880\) | 176991. | + | 515815.i | 0.00770449 | + | 0.0224537i | ||||
\(881\) | − | 3.02284e7i | − | 1.31212i | −0.754707 | − | 0.656062i | \(-0.772221\pi\) | ||
0.754707 | − | 0.656062i | \(-0.227779\pi\) | |||||||
\(882\) | 258545. | + | 902568.i | 0.0111909 | + | 0.0390669i | ||||
\(883\) | 2.33973e7 | − | 9.69146e6i | 1.00986 | − | 0.418300i | 0.184459 | − | 0.982840i | \(-0.440947\pi\) |
0.825405 | + | 0.564541i | \(0.190947\pi\) | |||||||
\(884\) | 5.13249e6 | − | 7.18733e6i | 0.220901 | − | 0.309341i | ||||
\(885\) | −565636. | + | 1.36556e6i | −0.0242761 | + | 0.0586076i | ||||
\(886\) | −5.36044e6 | − | 6.74270e6i | −0.229412 | − | 0.288569i | ||||
\(887\) | −1.94775e7 | + | 1.94775e7i | −0.831235 | + | 0.831235i | −0.987686 | − | 0.156451i | \(-0.949995\pi\) |
0.156451 | + | 0.987686i | \(0.449995\pi\) | |||||||
\(888\) | −1.27555e7 | + | 658202.i | −0.542833 | + | 0.0280109i | ||||
\(889\) | 294854. | + | 294854.i | 0.0125127 | + | 0.0125127i | ||||
\(890\) | 53111.1 | − | 465041.i | 0.00224755 | − | 0.0196796i | ||||
\(891\) | −1.37052e7 | − | 5.67687e6i | −0.578350 | − | 0.239560i | ||||
\(892\) | −1.92490e7 | − | 3.08417e7i | −0.810022 | − | 1.29785i | ||||
\(893\) | 3.09494e6 | + | 7.47186e6i | 0.129875 | + | 0.313545i | ||||
\(894\) | −2.10513e7 | − | 1.16763e7i | −0.880916 | − | 0.488608i | ||||
\(895\) | −1.30536e6 | −0.0544718 | ||||||||
\(896\) | 6.20529e6 | + | 1.54420e7i | 0.258221 | + | 0.642589i | ||||
\(897\) | 3.22500e7 | 1.33829 | ||||||||
\(898\) | 3.47327e7 | + | 1.92648e7i | 1.43730 | + | 0.797213i | ||||
\(899\) | 3.46727e6 | + | 8.37072e6i | 0.143083 | + | 0.345433i | ||||
\(900\) | 1.00304e6 | + | 1.60712e6i | 0.0412775 | + | 0.0661368i | ||||
\(901\) | −531575. | − | 220186.i | −0.0218149 | − | 0.00903601i | ||||
\(902\) | 2.28389e6 | − | 1.99978e7i | 0.0934672 | − | 0.818400i | ||||
\(903\) | 1.61018e7 | + | 1.61018e7i | 0.657134 | + | 0.657134i | ||||
\(904\) | −2.96091e7 | + | 1.52787e6i | −1.20505 | + | 0.0621821i | ||||
\(905\) | 383272. | − | 383272.i | 0.0155555 | − | 0.0155555i | ||||
\(906\) | 4.71941e6 | + | 5.93638e6i | 0.191015 | + | 0.240271i | ||||
\(907\) | −1.50394e7 | + | 3.63084e7i | −0.607035 | + | 1.46551i | 0.259175 | + | 0.965830i | \(0.416549\pi\) |
−0.866210 | + | 0.499681i | \(0.833451\pi\) | |||||||
\(908\) | −9.85355e6 | + | 1.37985e7i | −0.396623 | + | 0.555415i | ||||
\(909\) | −1.54046e6 | + | 638080.i | −0.0618360 | + | 0.0256133i | ||||
\(910\) | 283835. | + | 990853.i | 0.0113622 | + | 0.0396648i | ||||
\(911\) | − | 3.45052e7i | − | 1.37749i | −0.725004 | − | 0.688745i | \(-0.758162\pi\) | ||
0.725004 | − | 0.688745i | \(-0.241838\pi\) | |||||||
\(912\) | −6.51411e6 | + | 2.23518e6i | −0.259339 | + | 0.0889866i | ||||
\(913\) | 2.02230e6i | 0.0802914i | ||||||||
\(914\) | 3.19802e7 | − | 9.16089e6i | 1.26624 | − | 0.362721i | ||||
\(915\) | −1.40945e6 | + | 583812.i | −0.0556539 | + | 0.0230526i | ||||
\(916\) | 6.43456e6 | + | 3.85785e7i | 0.253385 | + | 1.51917i | ||||
\(917\) | 1.32928e7 | − | 3.20917e7i | 0.522028 | − | 1.26029i | ||||
\(918\) | 4.96202e6 | − | 3.94480e6i | 0.194335 | − | 0.154496i | ||||
\(919\) | 9.14468e6 | − | 9.14468e6i | 0.357174 | − | 0.357174i | −0.505596 | − | 0.862770i | \(-0.668727\pi\) |
0.862770 | + | 0.505596i | \(0.168727\pi\) | |||||||
\(920\) | −394455. | − | 828706.i | −0.0153648 | − | 0.0322798i | ||||
\(921\) | −1.76190e7 | − | 1.76190e7i | −0.684435 | − | 0.684435i | ||||
\(922\) | −9.62143e6 | − | 1.09884e6i | −0.372745 | − | 0.0425702i | ||||
\(923\) | 5.01637e7 | + | 2.07785e7i | 1.93814 | + | 0.802805i | ||||
\(924\) | −2.45712e6 | + | 1.06170e7i | −0.0946772 | + | 0.409091i | ||||
\(925\) | −5.20465e6 | − | 1.25651e7i | −0.200004 | − | 0.482851i | ||||
\(926\) | 1.76884e7 | − | 3.18906e7i | 0.677894 | − | 1.22218i | ||||
\(927\) | 3.27155e6 | 0.125042 | ||||||||
\(928\) | 3.35367e7 | + | 2.14285e7i | 1.27835 | + | 0.816811i | ||||
\(929\) | 1.69632e7 | 0.644863 | 0.322431 | − | 0.946593i | \(-0.395500\pi\) | ||||
0.322431 | + | 0.946593i | \(0.395500\pi\) | |||||||
\(930\) | −133090. | + | 239949.i | −0.00504589 | + | 0.00909727i | ||||
\(931\) | −1.39079e6 | − | 3.35767e6i | −0.0525882 | − | 0.126959i | ||||
\(932\) | −4.27618e7 | − | 9.89650e6i | −1.61256 | − | 0.373200i | ||||
\(933\) | −2.78305e7 | − | 1.15278e7i | −1.04669 | − | 0.433552i | ||||
\(934\) | 1.28949e7 | + | 1.47268e6i | 0.483670 | + | 0.0552386i | ||||
\(935\) | −116378. | − | 116378.i | −0.00435352 | − | 0.00435352i | ||||
\(936\) | −2.89085e6 | − | 1.02632e6i | −0.107854 | − | 0.0382908i | ||||
\(937\) | 2.39347e7 | − | 2.39347e7i | 0.890594 | − | 0.890594i | −0.103985 | − | 0.994579i | \(-0.533159\pi\) |
0.994579 | + | 0.103985i | \(0.0331594\pi\) | |||||||
\(938\) | −1.94187e7 | + | 1.54378e7i | −0.720631 | + | 0.572900i | ||||
\(939\) | 9.30209e6 | − | 2.24572e7i | 0.344284 | − | 0.831174i | ||||
\(940\) | 1.39608e6 | − | 232853.i | 0.0515335 | − | 0.00859534i | ||||
\(941\) | −1.71763e7 | + | 7.11466e6i | −0.632348 | + | 0.261927i | −0.675750 | − | 0.737131i | \(-0.736180\pi\) |
0.0434026 | + | 0.999058i | \(0.486180\pi\) | |||||||
\(942\) | 3.70045e7 | − | 1.06001e7i | 1.35871 | − | 0.389210i | ||||
\(943\) | 3.38749e7i | 1.24051i | ||||||||
\(944\) | 3.08486e7 | − | 2.72336e7i | 1.12669 | − | 0.994662i | ||||
\(945\) | 739789.i | 0.0269481i | ||||||||
\(946\) | −5.72065e6 | − | 1.99705e7i | −0.207835 | − | 0.725539i | ||||
\(947\) | −4.37514e7 | + | 1.81224e7i | −1.58532 | + | 0.656661i | −0.989245 | − | 0.146269i | \(-0.953273\pi\) |
−0.596074 | + | 0.802930i | \(0.703273\pi\) | |||||||
\(948\) | −1.42684e7 | − | 1.01891e7i | −0.515648 | − | 0.368226i | ||||
\(949\) | −1.68083e6 | + | 4.05788e6i | −0.0605840 | + | 0.146263i | ||||
\(950\) | −4.56356e6 | − | 5.74034e6i | −0.164057 | − | 0.206362i | ||||
\(951\) | −1.26980e7 | + | 1.26980e7i | −0.455284 | + | 0.455284i | ||||
\(952\) | −3.72983e6 | − | 3.36379e6i | −0.133382 | − | 0.120292i | ||||
\(953\) | −1.10556e7 | − | 1.10556e7i | −0.394320 | − | 0.394320i | 0.481904 | − | 0.876224i | \(-0.339945\pi\) |
−0.876224 | + | 0.481904i | \(0.839945\pi\) | |||||||
\(954\) | −22676.9 | + | 198559.i | −0.000806702 | + | 0.00706349i | ||||
\(955\) | 1.04533e6 | + | 432988.i | 0.0370888 | + | 0.0153627i | ||||
\(956\) | 1.43702e7 | − | 8.96878e6i | 0.508532 | − | 0.317387i | ||||
\(957\) | 9.97294e6 | + | 2.40768e7i | 0.352000 | + | 0.849804i | ||||
\(958\) | −1.15218e7 | − | 6.39068e6i | −0.405609 | − | 0.224975i | ||||
\(959\) | −3.46871e7 | −1.21793 | ||||||||
\(960\) | 124055. | + | 1.19885e6i | 0.00434447 | + | 0.0419844i | ||||
\(961\) | −2.68901e7 | −0.939255 | ||||||||
\(962\) | 1.92587e7 | + | 1.06820e7i | 0.670949 | + | 0.372148i | ||||
\(963\) | 68355.9 | + | 165026.i | 0.00237526 | + | 0.00573438i | ||||
\(964\) | −2.92477e7 | + | 1.82542e7i | −1.01368 | + | 0.632660i | ||||
\(965\) | −776751. | − | 321741.i | −0.0268512 | − | 0.0111221i | ||||
\(966\) | 2.08109e6 | − | 1.82221e7i | 0.0717545 | − | 0.628283i | ||||
\(967\) | −7.90354e6 | − | 7.90354e6i | −0.271804 | − | 0.271804i | 0.558022 | − | 0.829826i | \(-0.311560\pi\) |
−0.829826 | + | 0.558022i | \(0.811560\pi\) | |||||||
\(968\) | −1.28667e7 | + | 1.42668e7i | −0.441344 | + | 0.489370i | ||||
\(969\) | 1.46971e6 | − | 1.46971e6i | 0.0502830 | − | 0.0502830i | ||||
\(970\) | 989474. | + | 1.24462e6i | 0.0337656 | + | 0.0424726i | ||||
\(971\) | 8.44568e6 | − | 2.03897e7i | 0.287466 | − | 0.694005i | −0.712504 | − | 0.701668i | \(-0.752439\pi\) |
0.999971 | + | 0.00766285i | \(0.00243919\pi\) | |||||||
\(972\) | −3.73544e6 | − | 2.66748e6i | −0.126816 | − | 0.0905600i | ||||
\(973\) | −9.34475e6 | + | 3.87072e6i | −0.316436 | + | 0.131072i | ||||
\(974\) | −2.62468e6 | − | 9.16261e6i | −0.0886500 | − | 0.309472i | ||||
\(975\) | − | 4.50961e7i | − | 1.51924i | ||||||
\(976\) | 4.23901e7 | + | 2.63832e6i | 1.42443 | + | 0.0886551i | ||||
\(977\) | − | 2.34272e7i | − | 0.785207i | −0.919708 | − | 0.392604i | \(-0.871574\pi\) | ||
0.919708 | − | 0.392604i | \(-0.128426\pi\) | |||||||
\(978\) | −3.15798e7 | + | 9.04619e6i | −1.05575 | + | 0.302426i | ||||
\(979\) | −7.88339e6 | + | 3.26541e6i | −0.262879 | + | 0.108888i | ||||
\(980\) | −627362. | + | 104639.i | −0.0208667 | + | 0.00348038i | ||||
\(981\) | −1.52096e6 | + | 3.67192e6i | −0.0504598 | + | 0.121821i | ||||
\(982\) | 2.79997e7 | − | 2.22597e7i | 0.926563 | − | 0.736616i | ||||
\(983\) | −3.98753e7 | + | 3.98753e7i | −1.31619 | + | 1.31619i | −0.399430 | + | 0.916764i | \(0.630792\pi\) |
−0.916764 | + | 0.399430i | \(0.869208\pi\) | |||||||
\(984\) | 1.48830e7 | − | 4.19212e7i | 0.490009 | − | 1.38021i | ||||
\(985\) | 115502. | + | 115502.i | 0.00379314 | + | 0.00379314i | ||||
\(986\) | −1.19336e7 | − | 1.36290e6i | −0.390911 | − | 0.0446448i | ||||
\(987\) | 2.61306e7 | + | 1.08236e7i | 0.853800 | + | 0.353656i | ||||
\(988\) | 1.15689e7 | + | 2.67742e6i | 0.377050 | + | 0.0872618i | ||||
\(989\) | 1.33794e7 | + | 3.23007e7i | 0.434956 | + | 1.05008i | ||||
\(990\) | −27728.2 | + | 49991.3i | −0.000899152 | + | 0.00162109i | ||||
\(991\) | 5.90335e7 | 1.90948 | 0.954739 | − | 0.297446i | \(-0.0961347\pi\) | ||||
0.954739 | + | 0.297446i | \(0.0961347\pi\) | |||||||
\(992\) | 6.26335e6 | − | 4.37314e6i | 0.202082 | − | 0.141096i | ||||
\(993\) | 2.33003e7 | 0.749874 | ||||||||
\(994\) | 1.49775e7 | − | 2.70030e7i | 0.480809 | − | 0.866853i | ||||
\(995\) | 560797. | + | 1.35388e6i | 0.0179576 | + | 0.0433535i | ||||
\(996\) | −1.00776e6 | + | 4.35443e6i | −0.0321891 | + | 0.139086i | ||||
\(997\) | −3.58931e7 | − | 1.48674e7i | −1.14360 | − | 0.473693i | −0.271215 | − | 0.962519i | \(-0.587425\pi\) |
−0.872381 | + | 0.488826i | \(0.837425\pi\) | |||||||
\(998\) | 1.00449e7 | + | 1.14720e6i | 0.319243 | + | 0.0364598i | ||||
\(999\) | 1.11771e7 | + | 1.11771e7i | 0.354338 | + | 0.354338i |
(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 | 32.6.g.a.5.17 | ✓ | 76 | |
4.3 | odd | 2 | 128.6.g.a.113.5 | 76 | |||
32.13 | even | 8 | inner | 32.6.g.a.13.17 | yes | 76 | |
32.19 | odd | 8 | 128.6.g.a.17.5 | 76 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
32.6.g.a.5.17 | ✓ | 76 | 1.1 | even | 1 | trivial | |
32.6.g.a.13.17 | yes | 76 | 32.13 | even | 8 | inner | |
128.6.g.a.17.5 | 76 | 32.19 | odd | 8 | |||
128.6.g.a.113.5 | 76 | 4.3 | odd | 2 |