Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,6,Mod(9,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.9");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.g (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.89650425196\) |
Analytic rank: | \(0\) |
Dimension: | \(204\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 24.3 | ||
Character | \(\chi\) | \(=\) | 43.24 |
Dual form | 43.6.g.a.9.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{20}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −5.47096 | + | 6.86037i | −0.967138 | + | 1.21275i | 0.00995697 | + | 0.999950i | \(0.496831\pi\) |
−0.977095 | + | 0.212803i | \(0.931741\pi\) | |||||||
\(3\) | −18.4151 | + | 2.77564i | −1.18133 | + | 0.178057i | −0.710196 | − | 0.704004i | \(-0.751394\pi\) |
−0.471136 | + | 0.882061i | \(0.656156\pi\) | |||||||
\(4\) | −10.0126 | − | 43.8679i | −0.312893 | − | 1.37087i | ||||
\(5\) | 64.4216 | − | 43.9219i | 1.15241 | − | 0.785699i | 0.172474 | − | 0.985014i | \(-0.444824\pi\) |
0.979936 | + | 0.199315i | \(0.0638716\pi\) | |||||||
\(6\) | 81.7066 | − | 141.520i | 0.926572 | − | 1.60487i | ||||
\(7\) | 8.11387 | + | 14.0536i | 0.0625868 | + | 0.108404i | 0.895621 | − | 0.444818i | \(-0.146732\pi\) |
−0.833034 | + | 0.553222i | \(0.813398\pi\) | |||||||
\(8\) | 102.744 | + | 49.4787i | 0.567584 | + | 0.273334i | ||||
\(9\) | 99.2091 | − | 30.6020i | 0.408268 | − | 0.125934i | ||||
\(10\) | −51.1277 | + | 682.251i | −0.161680 | + | 2.15747i | ||||
\(11\) | 6.37310 | − | 27.9224i | 0.0158807 | − | 0.0695778i | −0.966367 | − | 0.257168i | \(-0.917211\pi\) |
0.982247 | + | 0.187590i | \(0.0600677\pi\) | |||||||
\(12\) | 306.144 | + | 780.042i | 0.613723 | + | 1.56374i | ||||
\(13\) | −2.03567 | − | 27.1642i | −0.00334079 | − | 0.0445798i | 0.995284 | − | 0.0970013i | \(-0.0309251\pi\) |
−0.998625 | + | 0.0524215i | \(0.983306\pi\) | |||||||
\(14\) | −140.804 | − | 21.2227i | −0.191997 | − | 0.0289389i | ||||
\(15\) | −1064.42 | + | 987.639i | −1.22148 | + | 1.13337i | ||||
\(16\) | 395.732 | − | 190.575i | 0.386457 | − | 0.186108i | ||||
\(17\) | −9.20043 | − | 6.27275i | −0.00772122 | − | 0.00526424i | 0.559453 | − | 0.828862i | \(-0.311011\pi\) |
−0.567175 | + | 0.823598i | \(0.691964\pi\) | |||||||
\(18\) | −332.828 | + | 848.033i | −0.242125 | + | 0.616924i | ||||
\(19\) | 2359.40 | + | 727.779i | 1.49940 | + | 0.462504i | 0.932466 | − | 0.361258i | \(-0.117653\pi\) |
0.566936 | + | 0.823762i | \(0.308129\pi\) | |||||||
\(20\) | −2571.79 | − | 2386.27i | −1.43767 | − | 1.33397i | ||||
\(21\) | −188.426 | − | 236.278i | −0.0932378 | − | 0.116917i | ||||
\(22\) | 156.691 | + | 196.484i | 0.0690219 | + | 0.0865507i | ||||
\(23\) | 3242.52 | + | 3008.62i | 1.27810 | + | 1.18590i | 0.972283 | + | 0.233809i | \(0.0751190\pi\) |
0.305814 | + | 0.952091i | \(0.401071\pi\) | |||||||
\(24\) | −2029.37 | − | 625.979i | −0.719174 | − | 0.221836i | ||||
\(25\) | 1079.32 | − | 2750.06i | 0.345383 | − | 0.880020i | ||||
\(26\) | 197.493 | + | 134.649i | 0.0572953 | + | 0.0390633i | ||||
\(27\) | 2335.26 | − | 1124.60i | 0.616489 | − | 0.296885i | ||||
\(28\) | 535.263 | − | 496.651i | 0.129024 | − | 0.119717i | ||||
\(29\) | −3109.96 | − | 468.751i | −0.686689 | − | 0.103502i | −0.203575 | − | 0.979059i | \(-0.565256\pi\) |
−0.483114 | + | 0.875558i | \(0.660494\pi\) | |||||||
\(30\) | −952.158 | − | 12705.7i | −0.193155 | − | 2.57747i | ||||
\(31\) | −1819.66 | − | 4636.42i | −0.340084 | − | 0.866520i | −0.993942 | − | 0.109903i | \(-0.964946\pi\) |
0.653858 | − | 0.756617i | \(-0.273149\pi\) | |||||||
\(32\) | −1669.64 | + | 7315.18i | −0.288236 | + | 1.26285i | ||||
\(33\) | −39.8592 | + | 531.884i | −0.00637153 | + | 0.0850222i | ||||
\(34\) | 93.3686 | − | 28.8004i | 0.0138517 | − | 0.00427269i | ||||
\(35\) | 1139.97 | + | 548.981i | 0.157298 | + | 0.0757508i | ||||
\(36\) | −2335.78 | − | 4045.69i | −0.300383 | − | 0.520279i | ||||
\(37\) | 3028.16 | − | 5244.92i | 0.363642 | − | 0.629847i | −0.624915 | − | 0.780693i | \(-0.714866\pi\) |
0.988557 | + | 0.150846i | \(0.0481998\pi\) | |||||||
\(38\) | −17901.0 | + | 12204.7i | −2.01103 | + | 1.37110i | ||||
\(39\) | 112.885 | + | 494.582i | 0.0118843 | + | 0.0520687i | ||||
\(40\) | 8792.12 | − | 1325.20i | 0.868847 | − | 0.130958i | ||||
\(41\) | 7226.30 | − | 9061.49i | 0.671361 | − | 0.841860i | −0.323166 | − | 0.946342i | \(-0.604747\pi\) |
0.994527 | + | 0.104482i | \(0.0333185\pi\) | |||||||
\(42\) | 2651.83 | 0.231965 | ||||||||
\(43\) | 10561.7 | + | 5954.77i | 0.871088 | + | 0.491127i | ||||
\(44\) | −1288.71 | −0.100351 | ||||||||
\(45\) | 5047.11 | − | 6328.88i | 0.371545 | − | 0.465903i | ||||
\(46\) | −38380.0 | + | 5784.85i | −2.67430 | + | 0.403086i | ||||
\(47\) | 5154.19 | + | 22582.0i | 0.340342 | + | 1.49114i | 0.798353 | + | 0.602189i | \(0.205705\pi\) |
−0.458011 | + | 0.888946i | \(0.651438\pi\) | |||||||
\(48\) | −6758.50 | + | 4607.87i | −0.423396 | + | 0.288667i | ||||
\(49\) | 8271.83 | − | 14327.2i | 0.492166 | − | 0.852456i | ||||
\(50\) | 12961.5 | + | 22450.0i | 0.733215 | + | 1.26997i | ||||
\(51\) | 186.838 | + | 89.9765i | 0.0100587 | + | 0.00484399i | ||||
\(52\) | −1171.25 | + | 361.284i | −0.0600679 | + | 0.0185285i | ||||
\(53\) | −857.384 | + | 11441.0i | −0.0419262 | + | 0.559467i | 0.936202 | + | 0.351463i | \(0.114316\pi\) |
−0.978128 | + | 0.208004i | \(0.933303\pi\) | |||||||
\(54\) | −5060.93 | + | 22173.4i | −0.236181 | + | 1.03478i | ||||
\(55\) | −815.839 | − | 2078.72i | −0.0363662 | − | 0.0926596i | ||||
\(56\) | 138.292 | + | 1845.38i | 0.00589289 | + | 0.0786352i | ||||
\(57\) | −45468.8 | − | 6853.32i | −1.85364 | − | 0.279392i | ||||
\(58\) | 20230.3 | − | 18771.0i | 0.789645 | − | 0.732683i | ||||
\(59\) | 44926.5 | − | 21635.5i | 1.68025 | − | 0.809163i | 0.683378 | − | 0.730064i | \(-0.260510\pi\) |
0.996867 | − | 0.0790989i | \(-0.0252043\pi\) | |||||||
\(60\) | 53983.3 | + | 36805.2i | 1.93589 | + | 1.31987i | ||||
\(61\) | 12112.3 | − | 30861.7i | 0.416776 | − | 1.06193i | −0.556205 | − | 0.831045i | \(-0.687743\pi\) |
0.972981 | − | 0.230884i | \(-0.0741617\pi\) | |||||||
\(62\) | 41762.9 | + | 12882.1i | 1.37978 | + | 0.425607i | ||||
\(63\) | 1235.04 | + | 1145.95i | 0.0392039 | + | 0.0363759i | ||||
\(64\) | −32286.9 | − | 40486.5i | −0.985318 | − | 1.23555i | ||||
\(65\) | −1324.24 | − | 1660.55i | −0.0388763 | − | 0.0487493i | ||||
\(66\) | −3430.85 | − | 3183.37i | −0.0969487 | − | 0.0899553i | ||||
\(67\) | 21033.9 | + | 6488.10i | 0.572444 | + | 0.176575i | 0.567444 | − | 0.823412i | \(-0.307932\pi\) |
0.00499963 | + | 0.999988i | \(0.498409\pi\) | |||||||
\(68\) | −183.052 | + | 466.410i | −0.00480068 | + | 0.0122319i | ||||
\(69\) | −68062.4 | − | 46404.1i | −1.72101 | − | 1.17337i | ||||
\(70\) | −10002.9 | + | 4817.17i | −0.243996 | + | 0.117502i | ||||
\(71\) | −50611.0 | + | 46960.2i | −1.19151 | + | 1.10556i | −0.199440 | + | 0.979910i | \(0.563912\pi\) |
−0.992074 | + | 0.125654i | \(0.959897\pi\) | |||||||
\(72\) | 11707.2 | + | 1764.58i | 0.266148 | + | 0.0401154i | ||||
\(73\) | −130.639 | − | 1743.25i | −0.00286923 | − | 0.0382872i | 0.995585 | − | 0.0938599i | \(-0.0299206\pi\) |
−0.998455 | + | 0.0555727i | \(0.982302\pi\) | |||||||
\(74\) | 19415.2 | + | 49469.0i | 0.412156 | + | 1.05016i | ||||
\(75\) | −12242.7 | + | 53638.6i | −0.251318 | + | 1.10109i | ||||
\(76\) | 8302.48 | − | 110789.i | 0.164882 | − | 2.20020i | ||||
\(77\) | 444.121 | − | 136.993i | 0.00853640 | − | 0.00263313i | ||||
\(78\) | −4010.60 | − | 1931.40i | −0.0746402 | − | 0.0359448i | ||||
\(79\) | −32234.8 | − | 55832.4i | −0.581109 | − | 1.00651i | −0.995348 | − | 0.0963426i | \(-0.969286\pi\) |
0.414239 | − | 0.910168i | \(-0.364048\pi\) | |||||||
\(80\) | 17123.3 | − | 29658.5i | 0.299132 | − | 0.518112i | ||||
\(81\) | −60727.5 | + | 41403.3i | −1.02843 | + | 0.701169i | ||||
\(82\) | 22630.4 | + | 99150.1i | 0.371670 | + | 1.62839i | ||||
\(83\) | −41947.4 | + | 6322.55i | −0.668358 | + | 0.100739i | −0.474452 | − | 0.880281i | \(-0.657354\pi\) |
−0.193906 | + | 0.981020i | \(0.562116\pi\) | |||||||
\(84\) | −8478.41 | + | 10631.6i | −0.131104 | + | 0.164399i | ||||
\(85\) | −868.218 | −0.0130341 | ||||||||
\(86\) | −98634.5 | + | 39878.7i | −1.43808 | + | 0.581426i | ||||
\(87\) | 58571.4 | 0.829636 | ||||||||
\(88\) | 2036.36 | − | 2553.51i | 0.0280316 | − | 0.0351505i | ||||
\(89\) | 26562.8 | − | 4003.70i | 0.355467 | − | 0.0535781i | 0.0311186 | − | 0.999516i | \(-0.490093\pi\) |
0.324349 | + | 0.945938i | \(0.394855\pi\) | |||||||
\(90\) | 15805.9 | + | 69250.1i | 0.205690 | + | 0.901186i | ||||
\(91\) | 365.238 | − | 249.015i | 0.00462352 | − | 0.00315226i | ||||
\(92\) | 99516.0 | − | 172367.i | 1.22581 | − | 2.12317i | ||||
\(93\) | 46378.4 | + | 80329.7i | 0.556042 | + | 0.963094i | ||||
\(94\) | −183119. | − | 88185.5i | −2.13754 | − | 1.02938i | ||||
\(95\) | 183962. | − | 56744.8i | 2.09131 | − | 0.645085i | ||||
\(96\) | 10442.4 | − | 139344.i | 0.115644 | − | 1.54316i | ||||
\(97\) | 16981.5 | − | 74400.7i | 0.183251 | − | 0.802875i | −0.796818 | − | 0.604219i | \(-0.793485\pi\) |
0.980069 | − | 0.198656i | \(-0.0636576\pi\) | |||||||
\(98\) | 53035.2 | + | 135131.i | 0.557826 | + | 1.42132i | ||||
\(99\) | −222.210 | − | 2965.18i | −0.00227864 | − | 0.0304063i | ||||
\(100\) | −131446. | − | 19812.3i | −1.31446 | − | 0.198123i | ||||
\(101\) | 44412.0 | − | 41208.3i | 0.433209 | − | 0.401959i | −0.433197 | − | 0.901299i | \(-0.642615\pi\) |
0.866406 | + | 0.499340i | \(0.166424\pi\) | |||||||
\(102\) | −1639.46 | + | 789.520i | −0.0156027 | + | 0.00751386i | ||||
\(103\) | 29251.3 | + | 19943.2i | 0.271677 | + | 0.185226i | 0.691493 | − | 0.722383i | \(-0.256953\pi\) |
−0.419817 | + | 0.907609i | \(0.637906\pi\) | |||||||
\(104\) | 1134.90 | − | 2891.67i | 0.0102890 | − | 0.0262159i | ||||
\(105\) | −22516.5 | − | 6945.42i | −0.199309 | − | 0.0614788i | ||||
\(106\) | −73798.7 | − | 68475.2i | −0.637946 | − | 0.591928i | ||||
\(107\) | −121409. | − | 152242.i | −1.02516 | − | 1.28551i | −0.957695 | − | 0.287786i | \(-0.907081\pi\) |
−0.0674637 | − | 0.997722i | \(-0.521491\pi\) | |||||||
\(108\) | −72715.8 | − | 91182.7i | −0.599887 | − | 0.752234i | ||||
\(109\) | 71867.2 | + | 66683.0i | 0.579381 | + | 0.537587i | 0.914499 | − | 0.404589i | \(-0.132585\pi\) |
−0.335117 | + | 0.942176i | \(0.608776\pi\) | |||||||
\(110\) | 18724.2 | + | 5775.66i | 0.147544 | + | 0.0455114i | ||||
\(111\) | −41205.9 | + | 104991.i | −0.317433 | + | 0.808807i | ||||
\(112\) | 5889.18 | + | 4015.18i | 0.0443619 | + | 0.0302454i | ||||
\(113\) | −166849. | + | 80350.3i | −1.22921 | + | 0.591958i | −0.931863 | − | 0.362810i | \(-0.881818\pi\) |
−0.297351 | + | 0.954768i | \(0.596103\pi\) | |||||||
\(114\) | 295774. | − | 274438.i | 2.13156 | − | 1.97780i | ||||
\(115\) | 341033. | + | 51402.5i | 2.40465 | + | 0.362443i | ||||
\(116\) | 10575.5 | + | 141121.i | 0.0729722 | + | 0.973747i | ||||
\(117\) | −1033.23 | − | 2632.64i | −0.00697805 | − | 0.0177798i | ||||
\(118\) | −97363.9 | + | 426579.i | −0.643714 | + | 2.82030i | ||||
\(119\) | 13.5038 | − | 180.196i | 8.74155e−5 | − | 0.00116648i | ||||
\(120\) | −158230. | + | 48807.4i | −1.00308 | + | 0.309409i | ||||
\(121\) | 144363. | + | 69521.5i | 0.896380 | + | 0.431674i | ||||
\(122\) | 145457. | + | 251938.i | 0.884777 | + | 1.53248i | ||||
\(123\) | −107922. | + | 186926.i | −0.643201 | + | 1.11406i | ||||
\(124\) | −185171. | + | 126247.i | −1.08148 | + | 0.737340i | ||||
\(125\) | 2961.93 | + | 12977.1i | 0.0169551 | + | 0.0742851i | ||||
\(126\) | −14618.5 | + | 2203.38i | −0.0820305 | + | 0.0123641i | ||||
\(127\) | 28940.6 | − | 36290.4i | 0.159220 | − | 0.199656i | −0.695822 | − | 0.718214i | \(-0.744960\pi\) |
0.855042 | + | 0.518559i | \(0.173531\pi\) | |||||||
\(128\) | 214287. | 1.15603 | ||||||||
\(129\) | −211023. | − | 80342.6i | −1.11649 | − | 0.425081i | ||||
\(130\) | 18636.9 | 0.0967196 | ||||||||
\(131\) | −214355. | + | 268793.i | −1.09133 | + | 1.36848i | −0.167414 | + | 0.985887i | \(0.553542\pi\) |
−0.923915 | + | 0.382597i | \(0.875030\pi\) | |||||||
\(132\) | 23731.7 | − | 3576.98i | 0.118548 | − | 0.0178682i | ||||
\(133\) | 8915.94 | + | 39063.3i | 0.0437057 | + | 0.191487i | ||||
\(134\) | −159586. | + | 108804.i | −0.767774 | + | 0.523460i | ||||
\(135\) | 101046. | − | 175018.i | 0.477185 | − | 0.826508i | ||||
\(136\) | −634.918 | − | 1099.71i | −0.00294354 | − | 0.00509837i | ||||
\(137\) | 64979.1 | + | 31292.3i | 0.295782 | + | 0.142441i | 0.575890 | − | 0.817527i | \(-0.304656\pi\) |
−0.280107 | + | 0.959969i | \(0.590370\pi\) | |||||||
\(138\) | 690716. | − | 213058.i | 3.08746 | − | 0.952356i | ||||
\(139\) | −6574.44 | + | 87729.8i | −0.0288617 | + | 0.385132i | 0.964003 | + | 0.265890i | \(0.0856657\pi\) |
−0.992865 | + | 0.119243i | \(0.961953\pi\) | |||||||
\(140\) | 12668.6 | − | 55504.8i | 0.0546272 | − | 0.239337i | ||||
\(141\) | −157594. | − | 401544.i | −0.667564 | − | 1.70093i | ||||
\(142\) | −45273.1 | − | 604127.i | −0.188417 | − | 2.51425i | ||||
\(143\) | −771.462 | − | 116.279i | −0.00315482 | − | 0.000475512i | ||||
\(144\) | 33428.3 | − | 31016.9i | 0.134341 | − | 0.124650i | ||||
\(145\) | −220937. | + | 106398.i | −0.872667 | + | 0.420255i | ||||
\(146\) | 12674.1 | + | 8641.03i | 0.0492078 | + | 0.0335493i | ||||
\(147\) | −112560. | + | 286798.i | −0.429625 | + | 1.09467i | ||||
\(148\) | −260403. | − | 80323.8i | −0.977220 | − | 0.301432i | ||||
\(149\) | −86482.7 | − | 80244.2i | −0.319127 | − | 0.296106i | 0.504300 | − | 0.863528i | \(-0.331750\pi\) |
−0.823427 | + | 0.567422i | \(0.807941\pi\) | |||||||
\(150\) | −301001. | − | 377444.i | −1.09230 | − | 1.36970i | ||||
\(151\) | −84009.0 | − | 105344.i | −0.299836 | − | 0.375982i | 0.608976 | − | 0.793189i | \(-0.291581\pi\) |
−0.908812 | + | 0.417206i | \(0.863009\pi\) | |||||||
\(152\) | 206404. | + | 191515.i | 0.724618 | + | 0.672347i | ||||
\(153\) | −1104.72 | − | 340.762i | −0.00381527 | − | 0.00117686i | ||||
\(154\) | −1489.95 | + | 3796.32i | −0.00506254 | + | 0.0128991i | ||||
\(155\) | −320866. | − | 218763.i | −1.07274 | − | 0.731382i | ||||
\(156\) | 20566.0 | − | 9904.06i | 0.0676610 | − | 0.0325838i | ||||
\(157\) | −122231. | + | 113414.i | −0.395761 | + | 0.367213i | −0.852803 | − | 0.522232i | \(-0.825099\pi\) |
0.457042 | + | 0.889445i | \(0.348909\pi\) | |||||||
\(158\) | 559386. | + | 84313.9i | 1.78266 | + | 0.268693i | ||||
\(159\) | −15967.2 | − | 213067.i | −0.0500882 | − | 0.668381i | ||||
\(160\) | 213736. | + | 544590.i | 0.660051 | + | 1.68178i | ||||
\(161\) | −15972.7 | + | 69980.8i | −0.0485638 | + | 0.212772i | ||||
\(162\) | 48195.8 | − | 643129.i | 0.144285 | − | 1.92535i | ||||
\(163\) | −11682.7 | + | 3603.65i | −0.0344410 | + | 0.0106236i | −0.311928 | − | 0.950106i | \(-0.600975\pi\) |
0.277487 | + | 0.960729i | \(0.410499\pi\) | |||||||
\(164\) | −469862. | − | 226274.i | −1.36415 | − | 0.656938i | ||||
\(165\) | 20793.6 | + | 36015.5i | 0.0594592 | + | 0.102986i | ||||
\(166\) | 186117. | − | 322365.i | 0.524224 | − | 0.907982i | ||||
\(167\) | 289500. | − | 197378.i | 0.803263 | − | 0.547655i | −0.0906570 | − | 0.995882i | \(-0.528897\pi\) |
0.893920 | + | 0.448227i | \(0.147944\pi\) | |||||||
\(168\) | −7668.79 | − | 33599.2i | −0.0209630 | − | 0.0918450i | ||||
\(169\) | 366412. | − | 55227.8i | 0.986855 | − | 0.148744i | ||||
\(170\) | 4749.99 | − | 5956.29i | 0.0126058 | − | 0.0158072i | ||||
\(171\) | 256346. | 0.670402 | ||||||||
\(172\) | 155474. | − | 522941.i | 0.400716 | − | 1.34782i | ||||
\(173\) | 579405. | 1.47186 | 0.735931 | − | 0.677056i | \(-0.236745\pi\) | ||||
0.735931 | + | 0.677056i | \(0.236745\pi\) | |||||||
\(174\) | −320442. | + | 401822.i | −0.802373 | + | 1.00614i | ||||
\(175\) | 47405.8 | − | 7145.28i | 0.117014 | − | 0.0176370i | ||||
\(176\) | −2799.26 | − | 12264.3i | −0.00681178 | − | 0.0298444i | ||||
\(177\) | −767276. | + | 523120.i | −1.84085 | + | 1.25507i | ||||
\(178\) | −117857. | + | 204135.i | −0.278809 | + | 0.482911i | ||||
\(179\) | 180975. | + | 313458.i | 0.422169 | + | 0.731218i | 0.996151 | − | 0.0876498i | \(-0.0279356\pi\) |
−0.573983 | + | 0.818867i | \(0.694602\pi\) | |||||||
\(180\) | −328169. | − | 158038.i | −0.754947 | − | 0.363563i | ||||
\(181\) | −360597. | + | 111229.i | −0.818136 | + | 0.252362i | −0.675449 | − | 0.737406i | \(-0.736050\pi\) |
−0.142687 | + | 0.989768i | \(0.545574\pi\) | |||||||
\(182\) | −289.868 | + | 3868.02i | −0.000648667 | + | 0.00865585i | ||||
\(183\) | −137389. | + | 601942.i | −0.303267 | + | 1.32870i | ||||
\(184\) | 184286. | + | 469553.i | 0.401280 | + | 1.02245i | ||||
\(185\) | −35288.2 | − | 470889.i | −0.0758055 | − | 1.01155i | ||||
\(186\) | −804825. | − | 121308.i | −1.70576 | − | 0.257103i | ||||
\(187\) | −233.785 | + | 216.921i | −0.000488892 | + | 0.000453626i | ||||
\(188\) | 939017. | − | 452207.i | 1.93767 | − | 0.933131i | ||||
\(189\) | 34752.7 | + | 23694.0i | 0.0707675 | + | 0.0482485i | ||||
\(190\) | −617159. | + | 1.57250e6i | −1.24026 | + | 3.16013i | ||||
\(191\) | −412155. | − | 127133.i | −0.817480 | − | 0.252159i | −0.142311 | − | 0.989822i | \(-0.545453\pi\) |
−0.675169 | + | 0.737663i | \(0.735929\pi\) | |||||||
\(192\) | 706944. | + | 655948.i | 1.38399 | + | 1.28415i | ||||
\(193\) | −405567. | − | 508565.i | −0.783736 | − | 0.982773i | −0.999979 | − | 0.00643389i | \(-0.997952\pi\) |
0.216244 | − | 0.976339i | \(-0.430619\pi\) | |||||||
\(194\) | 417511. | + | 523543.i | 0.796460 | + | 0.998729i | ||||
\(195\) | 28995.2 | + | 26903.6i | 0.0546059 | + | 0.0506669i | ||||
\(196\) | −711328. | − | 219416.i | −1.32260 | − | 0.407969i | ||||
\(197\) | −12340.5 | + | 31443.2i | −0.0226552 | + | 0.0577246i | −0.941754 | − | 0.336303i | \(-0.890823\pi\) |
0.919099 | + | 0.394028i | \(0.128919\pi\) | |||||||
\(198\) | 21557.9 | + | 14698.0i | 0.0390791 | + | 0.0266437i | ||||
\(199\) | 82872.2 | − | 39909.1i | 0.148346 | − | 0.0714397i | −0.358238 | − | 0.933630i | \(-0.616622\pi\) |
0.506584 | + | 0.862191i | \(0.330908\pi\) | |||||||
\(200\) | 246963. | − | 229148.i | 0.436573 | − | 0.405081i | ||||
\(201\) | −405351. | − | 61096.8i | −0.707686 | − | 0.106667i | ||||
\(202\) | 39727.9 | + | 530132.i | 0.0685042 | + | 0.914125i | ||||
\(203\) | −18646.1 | − | 47509.6i | −0.0317577 | − | 0.0809173i | ||||
\(204\) | 2076.35 | − | 9097.09i | 0.00349322 | − | 0.0153048i | ||||
\(205\) | 67531.8 | − | 901149.i | 0.112234 | − | 1.49766i | ||||
\(206\) | −296850. | + | 91566.2i | −0.487382 | + | 0.150337i | ||||
\(207\) | 413758. | + | 199255.i | 0.671151 | + | 0.323209i | ||||
\(208\) | −5982.38 | − | 10361.8i | −0.00958773 | − | 0.0166064i | ||||
\(209\) | 35358.0 | − | 61241.9i | 0.0559915 | − | 0.0969802i | ||||
\(210\) | 170835. | − | 116473.i | 0.267318 | − | 0.182254i | ||||
\(211\) | 86660.0 | + | 379682.i | 0.134002 | + | 0.587103i | 0.996685 | + | 0.0813573i | \(0.0259255\pi\) |
−0.862683 | + | 0.505746i | \(0.831217\pi\) | |||||||
\(212\) | 510477. | − | 76942.0i | 0.780075 | − | 0.117577i | ||||
\(213\) | 801665. | − | 1.00526e6i | 1.21072 | − | 1.51820i | ||||
\(214\) | 1.70866e6 | 2.55047 | ||||||||
\(215\) | 941946. | − | 80273.2i | 1.38973 | − | 0.118433i | ||||
\(216\) | 295577. | 0.431058 | ||||||||
\(217\) | 50394.1 | − | 63192.2i | 0.0726491 | − | 0.0910991i | ||||
\(218\) | −850652. | + | 128215.i | −1.21230 | + | 0.182725i | ||||
\(219\) | 7244.36 | + | 31739.6i | 0.0102068 | + | 0.0447189i | ||||
\(220\) | −83020.6 | + | 56602.5i | −0.115646 | + | 0.0788459i | ||||
\(221\) | −151.665 | + | 262.691i | −0.000208884 | + | 0.000361797i | ||||
\(222\) | −494841. | − | 857090.i | −0.673881 | − | 1.16720i | ||||
\(223\) | 517683. | + | 249303.i | 0.697111 | + | 0.335711i | 0.748655 | − | 0.662960i | \(-0.230700\pi\) |
−0.0515442 | + | 0.998671i | \(0.516414\pi\) | |||||||
\(224\) | −116352. | + | 35889.9i | −0.154937 | + | 0.0477916i | ||||
\(225\) | 22921.1 | − | 305861.i | 0.0301841 | − | 0.402779i | ||||
\(226\) | 361592. | − | 1.58424e6i | 0.470921 | − | 2.06324i | ||||
\(227\) | −365333. | − | 930854.i | −0.470571 | − | 1.19899i | −0.947415 | − | 0.320007i | \(-0.896315\pi\) |
0.476845 | − | 0.878988i | \(-0.341780\pi\) | |||||||
\(228\) | 154618. | + | 2.06324e6i | 0.196981 | + | 2.62853i | ||||
\(229\) | 37843.7 | + | 5704.01i | 0.0476875 | + | 0.00718773i | 0.172843 | − | 0.984949i | \(-0.444705\pi\) |
−0.125155 | + | 0.992137i | \(0.539943\pi\) | |||||||
\(230\) | −2.21842e6 | + | 2.05839e6i | −2.76518 | + | 2.56572i | ||||
\(231\) | −7798.31 | + | 3755.47i | −0.00961547 | + | 0.00463057i | ||||
\(232\) | −296335. | − | 202038.i | −0.361463 | − | 0.246441i | ||||
\(233\) | −460742. | + | 1.17395e6i | −0.555992 | + | 1.41664i | 0.325996 | + | 0.945371i | \(0.394300\pi\) |
−0.881988 | + | 0.471273i | \(0.843795\pi\) | |||||||
\(234\) | 23713.6 | + | 7314.69i | 0.0283112 | + | 0.00873285i | ||||
\(235\) | 1.32388e6 | + | 1.22839e6i | 1.56380 | + | 1.45099i | ||||
\(236\) | −1.39893e6 | − | 1.75420e6i | −1.63500 | − | 2.05022i | ||||
\(237\) | 748579. | + | 938689.i | 0.865699 | + | 1.08555i | ||||
\(238\) | 1162.33 | + | 1078.48i | 0.00133011 | + | 0.00123416i | ||||
\(239\) | 1.00821e6 | + | 310993.i | 1.14172 | + | 0.352173i | 0.807235 | − | 0.590230i | \(-0.200963\pi\) |
0.334481 | + | 0.942403i | \(0.391439\pi\) | |||||||
\(240\) | −233007. | + | 593693.i | −0.261121 | + | 0.665325i | ||||
\(241\) | −591536. | − | 403303.i | −0.656053 | − | 0.447289i | 0.188996 | − | 0.981978i | \(-0.439477\pi\) |
−0.845049 | + | 0.534688i | \(0.820429\pi\) | |||||||
\(242\) | −1.26675e6 | + | 610033.i | −1.39044 | + | 0.669599i | ||||
\(243\) | 541678. | − | 502604.i | 0.588472 | − | 0.546022i | ||||
\(244\) | −1.47511e6 | − | 222338.i | −1.58617 | − | 0.239077i | ||||
\(245\) | −96394.7 | − | 1.28630e6i | −0.102598 | − | 1.36907i | ||||
\(246\) | −691946. | − | 1.76305e6i | −0.729012 | − | 1.85749i | ||||
\(247\) | 14966.5 | − | 65572.7i | 0.0156091 | − | 0.0683881i | ||||
\(248\) | 42445.6 | − | 566398.i | 0.0438232 | − | 0.584780i | ||||
\(249\) | 754917. | − | 232861.i | 0.771616 | − | 0.238012i | ||||
\(250\) | −105232. | − | 50677.1i | −0.106487 | − | 0.0512817i | ||||
\(251\) | −78191.7 | − | 135432.i | −0.0783387 | − | 0.135687i | 0.824195 | − | 0.566307i | \(-0.191628\pi\) |
−0.902533 | + | 0.430620i | \(0.858295\pi\) | |||||||
\(252\) | 37904.4 | − | 65652.4i | 0.0376001 | − | 0.0651252i | ||||
\(253\) | 104673. | − | 71364.7i | 0.102809 | − | 0.0700943i | ||||
\(254\) | 90632.3 | + | 397086.i | 0.0881452 | + | 0.386189i | ||||
\(255\) | 15988.4 | − | 2409.86i | 0.0153976 | − | 0.00232082i | ||||
\(256\) | −139174. | + | 174519.i | −0.132727 | + | 0.166434i | ||||
\(257\) | 150007. | 0.141671 | 0.0708354 | − | 0.997488i | \(-0.477434\pi\) | ||||
0.0708354 | + | 0.997488i | \(0.477434\pi\) | |||||||
\(258\) | 1.70568e6 | − | 1.00815e6i | 1.59532 | − | 0.942918i | ||||
\(259\) | 98280.2 | 0.0910368 | ||||||||
\(260\) | −59585.7 | + | 74718.1i | −0.0546649 | + | 0.0685477i | ||||
\(261\) | −322881. | + | 48666.5i | −0.293387 | + | 0.0442210i | ||||
\(262\) | −671289. | − | 2.94111e6i | −0.604166 | − | 2.64703i | ||||
\(263\) | −612461. | + | 417569.i | −0.545996 | + | 0.372254i | −0.804680 | − | 0.593708i | \(-0.797663\pi\) |
0.258685 | + | 0.965962i | \(0.416711\pi\) | |||||||
\(264\) | −30412.2 | + | 52675.5i | −0.0268558 | + | 0.0465156i | ||||
\(265\) | 447277. | + | 774706.i | 0.391256 | + | 0.677676i | ||||
\(266\) | −316767. | − | 152547.i | −0.274496 | − | 0.132190i | ||||
\(267\) | −478046. | + | 147458.i | −0.410385 | + | 0.126587i | ||||
\(268\) | 74016.0 | − | 987675.i | 0.0629490 | − | 0.839996i | ||||
\(269\) | −237484. | + | 1.04049e6i | −0.200103 | + | 0.876709i | 0.770770 | + | 0.637114i | \(0.219872\pi\) |
−0.970873 | + | 0.239595i | \(0.922985\pi\) | |||||||
\(270\) | 647864. | + | 1.65073e6i | 0.540847 | + | 1.37806i | ||||
\(271\) | −124676. | − | 1.66368e6i | −0.103124 | − | 1.37609i | −0.773372 | − | 0.633953i | \(-0.781431\pi\) |
0.670248 | − | 0.742137i | \(-0.266188\pi\) | |||||||
\(272\) | −4836.33 | − | 728.960i | −0.00396364 | − | 0.000597422i | ||||
\(273\) | −6034.73 | + | 5599.41i | −0.00490062 | + | 0.00454712i | ||||
\(274\) | −570174. | + | 274581.i | −0.458808 | + | 0.220950i | ||||
\(275\) | −69909.7 | − | 47663.6i | −0.0557450 | − | 0.0380063i | ||||
\(276\) | −1.35417e6 | + | 3.45038e6i | −1.07004 | + | 2.72643i | ||||
\(277\) | 1.38855e6 | + | 428311.i | 1.08733 | + | 0.335398i | 0.786066 | − | 0.618142i | \(-0.212114\pi\) |
0.301267 | + | 0.953540i | \(0.402591\pi\) | |||||||
\(278\) | −565890. | − | 525069.i | −0.439157 | − | 0.407478i | ||||
\(279\) | −322411. | − | 404290.i | −0.247970 | − | 0.310944i | ||||
\(280\) | 89961.9 | + | 112809.i | 0.0685746 | + | 0.0859899i | ||||
\(281\) | −515690. | − | 478490.i | −0.389603 | − | 0.361499i | 0.460915 | − | 0.887444i | \(-0.347521\pi\) |
−0.850518 | + | 0.525945i | \(0.823712\pi\) | |||||||
\(282\) | 3.61693e6 | + | 1.11568e6i | 2.70843 | + | 0.835440i | ||||
\(283\) | −416667. | + | 1.06165e6i | −0.309260 | + | 0.787980i | 0.688755 | + | 0.724994i | \(0.258158\pi\) |
−0.998014 | + | 0.0629861i | \(0.979938\pi\) | |||||||
\(284\) | 2.56679e6 | + | 1.75001e6i | 1.88840 | + | 1.28749i | ||||
\(285\) | −3.23018e6 | + | 1.55557e6i | −2.35567 | + | 1.13443i | ||||
\(286\) | 5018.35 | − | 4656.35i | 0.00362782 | − | 0.00336613i | ||||
\(287\) | 185980. | + | 28032.0i | 0.133279 | + | 0.0200886i | ||||
\(288\) | 58215.1 | + | 776827.i | 0.0413575 | + | 0.551878i | ||||
\(289\) | −518687. | − | 1.32159e6i | −0.365309 | − | 0.930792i | ||||
\(290\) | 478811. | − | 2.09781e6i | 0.334325 | − | 1.46477i | ||||
\(291\) | −106207. | + | 1.41723e6i | −0.0735226 | + | 0.981091i | ||||
\(292\) | −75164.8 | + | 23185.3i | −0.0515890 | + | 0.0159131i | ||||
\(293\) | −2.17055e6 | − | 1.04528e6i | −1.47707 | − | 0.711320i | −0.490017 | − | 0.871713i | \(-0.663009\pi\) |
−0.987053 | + | 0.160393i | \(0.948724\pi\) | |||||||
\(294\) | −1.35173e6 | − | 2.34126e6i | −0.912054 | − | 1.57972i | ||||
\(295\) | 1.94397e6 | − | 3.36705e6i | 1.30057 | − | 2.25265i | ||||
\(296\) | 570636. | − | 389053.i | 0.378556 | − | 0.258095i | ||||
\(297\) | −16518.7 | − | 72373.1i | −0.0108664 | − | 0.0476087i | ||||
\(298\) | 1.02365e6 | − | 154290.i | 0.667744 | − | 0.100646i | ||||
\(299\) | 75126.0 | − | 94205.0i | 0.0485973 | − | 0.0609391i | ||||
\(300\) | 2.47559e6 | 1.58809 | ||||||||
\(301\) | 2009.91 | + | 196746.i | 0.00127867 | + | 0.125167i | ||||
\(302\) | 1.18231e6 | 0.745956 | ||||||||
\(303\) | −703475. | + | 882129.i | −0.440192 | + | 0.551983i | ||||
\(304\) | 1.07239e6 | − | 161636.i | 0.665530 | − | 0.100313i | ||||
\(305\) | −575210. | − | 2.52016e6i | −0.354060 | − | 1.55124i | ||||
\(306\) | 8381.66 | − | 5714.52i | 0.00511713 | − | 0.00348880i | ||||
\(307\) | −1.40386e6 | + | 2.43156e6i | −0.850117 | + | 1.47245i | 0.0309845 | + | 0.999520i | \(0.490136\pi\) |
−0.881102 | + | 0.472927i | \(0.843198\pi\) | |||||||
\(308\) | −10456.4 | − | 18111.0i | −0.00628066 | − | 0.0108784i | ||||
\(309\) | −594022. | − | 286066.i | −0.353921 | − | 0.170439i | ||||
\(310\) | 3.25624e6 | − | 1.00442e6i | 1.92447 | − | 0.593622i | ||||
\(311\) | −167380. | + | 2.23353e6i | −0.0981303 | + | 1.30946i | 0.703096 | + | 0.711095i | \(0.251801\pi\) |
−0.801226 | + | 0.598362i | \(0.795818\pi\) | |||||||
\(312\) | −12873.1 | + | 56400.5i | −0.00748678 | + | 0.0328017i | ||||
\(313\) | −36380.5 | − | 92696.0i | −0.0209898 | − | 0.0534811i | 0.919995 | − | 0.391931i | \(-0.128193\pi\) |
−0.940984 | + | 0.338450i | \(0.890097\pi\) | |||||||
\(314\) | −109340. | − | 1.45904e6i | −0.0625826 | − | 0.835106i | ||||
\(315\) | 129895. | + | 19578.6i | 0.0737594 | + | 0.0111174i | ||||
\(316\) | −2.12650e6 | + | 1.97310e6i | −1.19797 | + | 1.11156i | ||||
\(317\) | −861893. | + | 415066.i | −0.481732 | + | 0.231990i | −0.658957 | − | 0.752181i | \(-0.729002\pi\) |
0.177225 | + | 0.984170i | \(0.443288\pi\) | |||||||
\(318\) | 1.54908e6 | + | 1.05614e6i | 0.859023 | + | 0.585672i | ||||
\(319\) | −32908.7 | + | 83850.1i | −0.0181065 | + | 0.0461346i | ||||
\(320\) | −3.85822e6 | − | 1.19010e6i | −2.10626 | − | 0.649695i | ||||
\(321\) | 2.65833e6 | + | 2.46657e6i | 1.43995 | + | 1.33607i | ||||
\(322\) | −392708. | − | 492440.i | −0.211072 | − | 0.264676i | ||||
\(323\) | −17142.3 | − | 21495.8i | −0.00914248 | − | 0.0114643i | ||||
\(324\) | 2.42431e6 | + | 2.24943e6i | 1.28300 | + | 1.19045i | ||||
\(325\) | −76900.3 | − | 23720.6i | −0.0403850 | − | 0.0124571i | ||||
\(326\) | 39193.5 | − | 99863.3i | 0.0204254 | − | 0.0520429i | ||||
\(327\) | −1.50853e6 | − | 1.02850e6i | −0.780163 | − | 0.531906i | ||||
\(328\) | 1.19081e6 | − | 573463.i | 0.611163 | − | 0.294320i | ||||
\(329\) | −275538. | + | 255662.i | −0.140343 | + | 0.130220i | ||||
\(330\) | −360841. | − | 54388.0i | −0.182402 | − | 0.0274927i | ||||
\(331\) | 197778. | + | 2.63916e6i | 0.0992220 | + | 1.32403i | 0.795369 | + | 0.606126i | \(0.207277\pi\) |
−0.696147 | + | 0.717899i | \(0.745104\pi\) | |||||||
\(332\) | 697357. | + | 1.77684e6i | 0.347224 | + | 0.884713i | ||||
\(333\) | 139916. | − | 613011.i | 0.0691443 | − | 0.302941i | ||||
\(334\) | −229759. | + | 3.06592e6i | −0.112696 | + | 1.50382i | ||||
\(335\) | 1.64001e6 | − | 505875.i | 0.798424 | − | 0.246281i | ||||
\(336\) | −119595. | − | 57593.8i | −0.0577915 | − | 0.0278309i | ||||
\(337\) | −1.30044e6 | − | 2.25243e6i | −0.623757 | − | 1.08038i | −0.988780 | − | 0.149380i | \(-0.952272\pi\) |
0.365023 | − | 0.930998i | \(-0.381061\pi\) | |||||||
\(338\) | −1.62574e6 | + | 2.81587e6i | −0.774035 | + | 1.34067i | ||||
\(339\) | 2.84953e6 | − | 1.94277e6i | 1.34671 | − | 0.918170i | ||||
\(340\) | 8693.09 | + | 38086.9i | 0.00407828 | + | 0.0178681i | ||||
\(341\) | −141057. | + | 21260.9i | −0.0656914 | + | 0.00990138i | ||||
\(342\) | −1.40246e6 | + | 1.75862e6i | −0.648372 | + | 0.813033i | ||||
\(343\) | 541206. | 0.248386 | ||||||||
\(344\) | 790511. | + | 1.13439e6i | 0.360174 | + | 0.516854i | ||||
\(345\) | −6.42285e6 | −2.90523 | ||||||||
\(346\) | −3.16990e6 | + | 3.97493e6i | −1.42349 | + | 1.78501i | ||||
\(347\) | −1.57890e6 | + | 237981.i | −0.703932 | + | 0.106101i | −0.491247 | − | 0.871020i | \(-0.663459\pi\) |
−0.212685 | + | 0.977121i | \(0.568221\pi\) | |||||||
\(348\) | −586450. | − | 2.56941e6i | −0.259587 | − | 1.13733i | ||||
\(349\) | 1.49754e6 | − | 1.02101e6i | 0.658135 | − | 0.448709i | −0.187648 | − | 0.982236i | \(-0.560086\pi\) |
0.845783 | + | 0.533528i | \(0.179134\pi\) | |||||||
\(350\) | −210336. | + | 364313.i | −0.0917791 | + | 0.158966i | ||||
\(351\) | −35302.7 | − | 61146.0i | −0.0152947 | − | 0.0264911i | ||||
\(352\) | 193616. | + | 93240.8i | 0.0832886 | + | 0.0401097i | ||||
\(353\) | 3.53882e6 | − | 1.09158e6i | 1.51155 | − | 0.466251i | 0.575405 | − | 0.817869i | \(-0.304845\pi\) |
0.936144 | + | 0.351618i | \(0.114368\pi\) | |||||||
\(354\) | 608942. | − | 8.12576e6i | 0.258266 | − | 3.44632i | ||||
\(355\) | −1.19786e6 | + | 5.24818e6i | −0.504471 | + | 2.21023i | ||||
\(356\) | −441596. | − | 1.12517e6i | −0.184672 | − | 0.470536i | ||||
\(357\) | 251.483 | + | 3355.81i | 0.000104433 | + | 0.00139356i | ||||
\(358\) | −3.14054e6 | − | 473361.i | −1.29508 | − | 0.195202i | ||||
\(359\) | 2.17078e6 | − | 2.01419e6i | 0.888954 | − | 0.824829i | −0.0964014 | − | 0.995343i | \(-0.530733\pi\) |
0.985355 | + | 0.170514i | \(0.0545428\pi\) | |||||||
\(360\) | 831704. | − | 400528.i | 0.338230 | − | 0.162883i | ||||
\(361\) | 2.99127e6 | + | 2.03941e6i | 1.20806 | + | 0.823639i | ||||
\(362\) | 1.20974e6 | − | 3.08236e6i | 0.485199 | − | 1.23627i | ||||
\(363\) | −2.85143e6 | − | 879550.i | −1.13578 | − | 0.350343i | ||||
\(364\) | −14580.7 | − | 13528.9i | −0.00576801 | − | 0.00535193i | ||||
\(365\) | −84982.9 | − | 106565.i | −0.0333887 | − | 0.0418681i | ||||
\(366\) | −3.37789e6 | − | 4.23574e6i | −1.31808 | − | 1.65283i | ||||
\(367\) | 3.37231e6 | + | 3.12904e6i | 1.30696 | + | 1.21268i | 0.961678 | + | 0.274180i | \(0.0884065\pi\) |
0.345280 | + | 0.938500i | \(0.387784\pi\) | |||||||
\(368\) | 1.85654e6 | + | 572666.i | 0.714635 | + | 0.220436i | ||||
\(369\) | 439615. | − | 1.12012e6i | 0.168076 | − | 0.428252i | ||||
\(370\) | 3.42353e6 | + | 2.33412e6i | 1.30008 | + | 0.886379i | ||||
\(371\) | −167744. | + | 80781.4i | −0.0632722 | + | 0.0304703i | ||||
\(372\) | 3.05953e6 | − | 2.83883e6i | 1.14630 | − | 1.06361i | ||||
\(373\) | −3.67691e6 | − | 554205.i | −1.36839 | − | 0.206252i | −0.576593 | − | 0.817032i | \(-0.695618\pi\) |
−0.791801 | + | 0.610780i | \(0.790856\pi\) | |||||||
\(374\) | −209.128 | − | 2790.62i | −7.73096e−5 | − | 0.00103162i | ||||
\(375\) | −90564.1 | − | 230754.i | −0.0332566 | − | 0.0847364i | ||||
\(376\) | −587767. | + | 2.57518e6i | −0.214405 | + | 0.939372i | ||||
\(377\) | −6402.37 | + | 85433.7i | −0.00232000 | + | 0.0309582i | ||||
\(378\) | −352680. | + | 108787.i | −0.126955 | + | 0.0391606i | ||||
\(379\) | −692232. | − | 333361.i | −0.247545 | − | 0.119211i | 0.305998 | − | 0.952032i | \(-0.401010\pi\) |
−0.553542 | + | 0.832821i | \(0.686724\pi\) | |||||||
\(380\) | −4.33120e6 | − | 7.50187e6i | −1.53868 | − | 2.66508i | ||||
\(381\) | −432216. | + | 748620.i | −0.152542 | + | 0.264210i | ||||
\(382\) | 3.12706e6 | − | 2.13199e6i | 1.09642 | − | 0.747528i | ||||
\(383\) | −651693. | − | 2.85525e6i | −0.227011 | − | 0.994598i | −0.952062 | − | 0.305904i | \(-0.901041\pi\) |
0.725052 | − | 0.688694i | \(-0.241816\pi\) | |||||||
\(384\) | −3.94613e6 | + | 594783.i | −1.36566 | + | 0.205840i | ||||
\(385\) | 22594.0 | − | 28332.0i | 0.00776858 | − | 0.00974149i | ||||
\(386\) | 5.70779e6 | 1.94984 | ||||||||
\(387\) | 1.23004e6 | + | 267560.i | 0.417487 | + | 0.0908120i | ||||
\(388\) | −3.43383e6 | −1.15798 | ||||||||
\(389\) | −230714. | + | 289306.i | −0.0773036 | + | 0.0969357i | −0.818980 | − | 0.573823i | \(-0.805460\pi\) |
0.741676 | + | 0.670758i | \(0.234031\pi\) | |||||||
\(390\) | −343200. | + | 51729.1i | −0.114258 | + | 0.0172216i | ||||
\(391\) | −10960.3 | − | 48020.2i | −0.00362560 | − | 0.0158848i | ||||
\(392\) | 1.55877e6 | − | 1.06275e6i | 0.512351 | − | 0.349315i | ||||
\(393\) | 3.20131e6 | − | 5.54483e6i | 1.04555 | − | 1.81095i | ||||
\(394\) | −148197. | − | 256685.i | −0.0480949 | − | 0.0833029i | ||||
\(395\) | −4.52889e6 | − | 2.18100e6i | −1.46049 | − | 0.703335i | ||||
\(396\) | −127851. | + | 39437.0i | −0.0409702 | + | 0.0126376i | ||||
\(397\) | −251074. | + | 3.35035e6i | −0.0799513 | + | 1.06688i | 0.802556 | + | 0.596577i | \(0.203473\pi\) |
−0.882507 | + | 0.470299i | \(0.844146\pi\) | |||||||
\(398\) | −179599. | + | 786875.i | −0.0568324 | + | 0.248999i | ||||
\(399\) | −272614. | − | 694608.i | −0.0857265 | − | 0.218428i | ||||
\(400\) | −96970.4 | − | 1.29398e6i | −0.0303033 | − | 0.404369i | ||||
\(401\) | 5.21982e6 | + | 786761.i | 1.62104 | + | 0.244333i | 0.895896 | − | 0.444263i | \(-0.146534\pi\) |
0.725145 | + | 0.688596i | \(0.241773\pi\) | |||||||
\(402\) | 2.63680e6 | − | 2.44660e6i | 0.813791 | − | 0.755087i | ||||
\(403\) | −122240. | + | 58867.8i | −0.0374931 | + | 0.0180557i | ||||
\(404\) | −2.25240e6 | − | 1.53566e6i | −0.686582 | − | 0.468104i | ||||
\(405\) | −2.09365e6 | + | 5.33454e6i | −0.634259 | + | 1.61607i | ||||
\(406\) | 427946. | + | 132004.i | 0.128847 | + | 0.0397440i | ||||
\(407\) | −127152. | − | 117980.i | −0.0380485 | − | 0.0353038i | ||||
\(408\) | 14744.5 | + | 18489.0i | 0.00438510 | + | 0.00549875i | ||||
\(409\) | −144964. | − | 181780.i | −0.0428502 | − | 0.0537325i | 0.759945 | − | 0.649988i | \(-0.225226\pi\) |
−0.802795 | + | 0.596255i | \(0.796655\pi\) | |||||||
\(410\) | 5.81275e6 | + | 5.39344e6i | 1.70774 | + | 1.58455i | ||||
\(411\) | −1.28345e6 | − | 395893.i | −0.374780 | − | 0.115604i | ||||
\(412\) | 581986. | − | 1.48288e6i | 0.168915 | − | 0.430389i | ||||
\(413\) | 668584. | + | 455833.i | 0.192877 | + | 0.131502i | ||||
\(414\) | −3.63061e6 | + | 1.74841e6i | −1.04107 | + | 0.501352i | ||||
\(415\) | −2.42462e6 | + | 2.24972e6i | −0.691072 | + | 0.641221i | ||||
\(416\) | 202110. | + | 30463.1i | 0.0572603 | + | 0.00863060i | ||||
\(417\) | −122437. | − | 1.63380e6i | −0.0344803 | − | 0.460108i | ||||
\(418\) | 226700. | + | 577621.i | 0.0634615 | + | 0.161697i | ||||
\(419\) | −223786. | + | 980468.i | −0.0622726 | + | 0.272834i | −0.996473 | − | 0.0839148i | \(-0.973258\pi\) |
0.934200 | + | 0.356749i | \(0.116115\pi\) | |||||||
\(420\) | −79233.1 | + | 1.05729e6i | −0.0219171 | + | 0.292464i | ||||
\(421\) | −1.74004e6 | + | 536730.i | −0.478468 | + | 0.147588i | −0.524602 | − | 0.851347i | \(-0.675786\pi\) |
0.0461342 | + | 0.998935i | \(0.485310\pi\) | |||||||
\(422\) | −3.07887e6 | − | 1.48271e6i | −0.841610 | − | 0.405298i | ||||
\(423\) | 1.20239e6 | + | 2.08261e6i | 0.326735 | + | 0.565922i | ||||
\(424\) | −654177. | + | 1.13307e6i | −0.176718 | + | 0.306084i | ||||
\(425\) | −27180.7 | + | 18531.5i | −0.00729941 | + | 0.00497666i | ||||
\(426\) | 2.51055e6 | + | 1.09994e7i | 0.670262 | + | 2.93661i | ||||
\(427\) | 531997. | − | 80185.6i | 0.141202 | − | 0.0212827i | ||||
\(428\) | −5.46292e6 | + | 6.85028e6i | −1.44150 | + | 1.80759i | ||||
\(429\) | 14529.3 | 0.00381156 | ||||||||
\(430\) | −4.60264e6 | + | 6.90127e6i | −1.20043 | + | 1.79994i | ||||
\(431\) | −2.68994e6 | −0.697509 | −0.348754 | − | 0.937214i | \(-0.613395\pi\) | ||||
−0.348754 | + | 0.937214i | \(0.613395\pi\) | |||||||
\(432\) | 709816. | − | 890082.i | 0.182994 | − | 0.229467i | ||||
\(433\) | −4.58059e6 | + | 690413.i | −1.17409 | + | 0.176966i | −0.706981 | − | 0.707233i | \(-0.749943\pi\) |
−0.467111 | + | 0.884199i | \(0.654705\pi\) | |||||||
\(434\) | 157818. | + | 691444.i | 0.0402190 | + | 0.176211i | ||||
\(435\) | 3.77327e6 | − | 2.57257e6i | 0.956081 | − | 0.651845i | ||||
\(436\) | 2.20567e6 | − | 3.82033e6i | 0.555679 | − | 0.962464i | ||||
\(437\) | 5.46081e6 | + | 9.45839e6i | 1.36790 | + | 2.36927i | ||||
\(438\) | −257379. | − | 123947.i | −0.0641044 | − | 0.0308711i | ||||
\(439\) | −1.39299e6 | + | 429681.i | −0.344975 | + | 0.106411i | −0.462401 | − | 0.886671i | \(-0.653012\pi\) |
0.117426 | + | 0.993082i | \(0.462536\pi\) | |||||||
\(440\) | 19030.4 | − | 253942.i | 0.00468614 | − | 0.0625322i | ||||
\(441\) | 382200. | − | 1.67453e6i | 0.0935823 | − | 0.410011i | ||||
\(442\) | −972.406 | − | 2477.65i | −0.000236751 | − | 0.000603232i | ||||
\(443\) | −523764. | − | 6.98915e6i | −0.126802 | − | 1.69206i | −0.591276 | − | 0.806470i | \(-0.701375\pi\) |
0.464474 | − | 0.885587i | \(-0.346244\pi\) | |||||||
\(444\) | 5.01831e6 | + | 756389.i | 1.20809 | + | 0.182091i | ||||
\(445\) | 1.53537e6 | − | 1.42462e6i | 0.367547 | − | 0.341034i | ||||
\(446\) | −4.54253e6 | + | 2.18757e6i | −1.08134 | + | 0.520744i | ||||
\(447\) | 1.81532e6 | + | 1.23766e6i | 0.429719 | + | 0.292977i | ||||
\(448\) | 307011. | − | 782250.i | 0.0722701 | − | 0.184141i | ||||
\(449\) | 7.07883e6 | + | 2.18353e6i | 1.65709 | + | 0.511144i | 0.975389 | − | 0.220490i | \(-0.0707655\pi\) |
0.681698 | + | 0.731633i | \(0.261242\pi\) | |||||||
\(450\) | 1.97292e6 | + | 1.83060e6i | 0.459280 | + | 0.426149i | ||||
\(451\) | −206964. | − | 259525.i | −0.0479131 | − | 0.0600812i | ||||
\(452\) | 5.19538e6 | + | 6.51481e6i | 1.19611 | + | 1.49988i | ||||
\(453\) | 1.83943e6 | + | 1.70675e6i | 0.421152 | + | 0.390772i | ||||
\(454\) | 8.38473e6 | + | 2.58635e6i | 1.90919 | + | 0.588907i | ||||
\(455\) | 12592.0 | − | 32083.9i | 0.00285145 | − | 0.00726539i | ||||
\(456\) | −4.33253e6 | − | 2.95387e6i | −0.975731 | − | 0.665242i | ||||
\(457\) | 4.90018e6 | − | 2.35980e6i | 1.09754 | − | 0.528549i | 0.204658 | − | 0.978834i | \(-0.434392\pi\) |
0.892885 | + | 0.450285i | \(0.148677\pi\) | |||||||
\(458\) | −246173. | + | 228415.i | −0.0548373 | + | 0.0508816i | ||||
\(459\) | −28539.7 | − | 4301.67i | −0.00632292 | − | 0.000953027i | ||||
\(460\) | −1.15970e6 | − | 1.54751e7i | −0.255535 | − | 3.40987i | ||||
\(461\) | −1.15629e6 | − | 2.94619e6i | −0.253406 | − | 0.645667i | 0.746398 | − | 0.665500i | \(-0.231782\pi\) |
−0.999803 | + | 0.0198332i | \(0.993686\pi\) | |||||||
\(462\) | 16900.4 | − | 74045.3i | 0.00368376 | − | 0.0161396i | ||||
\(463\) | 476134. | − | 6.35356e6i | 0.103223 | − | 1.37742i | −0.669566 | − | 0.742752i | \(-0.733520\pi\) |
0.772789 | − | 0.634663i | \(-0.218861\pi\) | |||||||
\(464\) | −1.32004e6 | + | 407180.i | −0.284638 | + | 0.0877993i | ||||
\(465\) | 6.51600e6 | + | 3.13794e6i | 1.39749 | + | 0.672996i | ||||
\(466\) | −5.53304e6 | − | 9.58351e6i | −1.18032 | − | 2.04437i | ||||
\(467\) | −1.92781e6 | + | 3.33907e6i | −0.409046 | + | 0.708489i | −0.994783 | − | 0.102013i | \(-0.967472\pi\) |
0.585737 | + | 0.810501i | \(0.300805\pi\) | |||||||
\(468\) | −105143. | + | 71685.2i | −0.0221904 | + | 0.0151292i | ||||
\(469\) | 79484.9 | + | 348246.i | 0.0166860 | + | 0.0731062i | ||||
\(470\) | −1.56701e7 | + | 2.36189e6i | −3.27210 | + | 0.493190i | ||||
\(471\) | 1.93611e6 | − | 2.42781e6i | 0.402141 | − | 0.504268i | ||||
\(472\) | 5.68641e6 | 1.17485 | ||||||||
\(473\) | 233582. | − | 256957.i | 0.0480050 | − | 0.0528089i | ||||
\(474\) | −1.05352e7 | −2.15376 | ||||||||
\(475\) | 4.54799e6 | − | 5.70300e6i | 0.924880 | − | 1.15976i | ||||
\(476\) | −8040.01 | + | 1211.84i | −0.00162645 | + | 0.000245147i | ||||
\(477\) | 265057. | + | 1.16129e6i | 0.0533387 | + | 0.233692i | ||||
\(478\) | −7.64942e6 | + | 5.21529e6i | −1.53130 | + | 1.04402i | ||||
\(479\) | −3.52747e6 | + | 6.10977e6i | −0.702466 | + | 1.21671i | 0.265133 | + | 0.964212i | \(0.414584\pi\) |
−0.967598 | + | 0.252494i | \(0.918749\pi\) | |||||||
\(480\) | −5.44756e6 | − | 9.43545e6i | −1.07919 | − | 1.86922i | ||||
\(481\) | −148638. | − | 71580.4i | −0.0292933 | − | 0.0141069i | ||||
\(482\) | 6.00308e6 | − | 1.85170e6i | 1.17695 | − | 0.363040i | ||||
\(483\) | 99897.6 | − | 1.33304e6i | 0.0194844 | − | 0.260001i | ||||
\(484\) | 1.60432e6 | − | 7.02898e6i | 0.311299 | − | 1.36389i | ||||
\(485\) | −2.17385e6 | − | 5.53888e6i | −0.419638 | − | 1.06922i | ||||
\(486\) | 484548. | + | 6.46584e6i | 0.0930563 | + | 1.24175i | ||||
\(487\) | −3.22080e6 | − | 485458.i | −0.615378 | − | 0.0927533i | −0.166046 | − | 0.986118i | \(-0.553100\pi\) |
−0.449332 | + | 0.893365i | \(0.648338\pi\) | |||||||
\(488\) | 2.77146e6 | − | 2.57154e6i | 0.526817 | − | 0.488815i | ||||
\(489\) | 205137. | − | 98788.7i | 0.0387946 | − | 0.0186825i | ||||
\(490\) | 9.35185e6 | + | 6.37598e6i | 1.75957 | + | 1.19966i | ||||
\(491\) | 1.95786e6 | − | 4.98855e6i | 0.366504 | − | 0.933837i | −0.622051 | − | 0.782977i | \(-0.713700\pi\) |
0.988555 | − | 0.150860i | \(-0.0482043\pi\) | |||||||
\(492\) | 9.28063e6 | + | 2.86270e6i | 1.72848 | + | 0.533166i | ||||
\(493\) | 25672.6 | + | 23820.7i | 0.00475722 | + | 0.00441405i | ||||
\(494\) | 367972. | + | 461422.i | 0.0678417 | + | 0.0850708i | ||||
\(495\) | −144552. | − | 181262.i | −0.0265161 | − | 0.0332502i | ||||
\(496\) | −1.60368e6 | − | 1.48800e6i | −0.292694 | − | 0.271581i | ||||
\(497\) | −1.07061e6 | − | 330240.i | −0.194420 | − | 0.0599706i | ||||
\(498\) | −2.53261e6 | + | 6.45298e6i | −0.457609 | + | 1.16597i | ||||
\(499\) | −6.58496e6 | − | 4.48955e6i | −1.18386 | − | 0.807144i | −0.198919 | − | 0.980016i | \(-0.563743\pi\) |
−0.984944 | + | 0.172872i | \(0.944695\pi\) | |||||||
\(500\) | 539621. | − | 259868.i | 0.0965303 | − | 0.0464865i | ||||
\(501\) | −4.78334e6 | + | 4.43829e6i | −0.851406 | + | 0.789989i | ||||
\(502\) | 1.35690e6 | + | 204519.i | 0.240319 | + | 0.0362222i | ||||
\(503\) | −761588. | − | 1.01627e7i | −0.134215 | − | 1.79097i | −0.505880 | − | 0.862604i | \(-0.668832\pi\) |
0.371665 | − | 0.928367i | \(-0.378787\pi\) | |||||||
\(504\) | 70192.3 | + | 178847.i | 0.0123087 | + | 0.0313621i | ||||
\(505\) | 1.05115e6 | − | 4.60537e6i | 0.183415 | − | 0.803593i | ||||
\(506\) | −83072.7 | + | 1.10853e6i | −0.0144239 | + | 0.192473i | ||||
\(507\) | −6.59424e6 | + | 2.03405e6i | −1.13932 | + | 0.351433i | ||||
\(508\) | −1.88175e6 | − | 906203.i | −0.323521 | − | 0.155800i | ||||
\(509\) | 4.98587e6 | + | 8.63577e6i | 0.852994 | + | 1.47743i | 0.878493 | + | 0.477755i | \(0.158549\pi\) |
−0.0254990 | + | 0.999675i | \(0.508117\pi\) | |||||||
\(510\) | −70939.2 | + | 122870.i | −0.0120770 | + | 0.0209181i | ||||
\(511\) | 23439.0 | − | 15980.5i | 0.00397089 | − | 0.00270730i | ||||
\(512\) | 1.09002e6 | + | 4.77569e6i | 0.183764 | + | 0.805121i | ||||
\(513\) | 6.32827e6 | − | 953834.i | 1.06168 | − | 0.160022i | ||||
\(514\) | −820685. | + | 1.02911e6i | −0.137015 | + | 0.171812i | ||||
\(515\) | 2.76036e6 | 0.458614 | ||||||||
\(516\) | −1.41158e6 | + | 1.00616e7i | −0.233389 | + | 1.66357i | ||||
\(517\) | 663391. | 0.109155 | ||||||||
\(518\) | −537687. | + | 674239.i | −0.0880451 | + | 0.110405i | ||||
\(519\) | −1.06698e7 | + | 1.60822e6i | −1.73876 | + | 0.262076i | ||||
\(520\) | −53895.8 | − | 236133.i | −0.00874070 | − | 0.0382955i | ||||
\(521\) | 1.41843e6 | − | 967070.i | 0.228936 | − | 0.156086i | −0.443420 | − | 0.896314i | \(-0.646235\pi\) |
0.672356 | + | 0.740228i | \(0.265283\pi\) | |||||||
\(522\) | 1.43260e6 | − | 2.48133e6i | 0.230117 | − | 0.398574i | ||||
\(523\) | −2.95985e6 | − | 5.12660e6i | −0.473167 | − | 0.819550i | 0.526361 | − | 0.850261i | \(-0.323556\pi\) |
−0.999528 | + | 0.0307112i | \(0.990223\pi\) | |||||||
\(524\) | 1.39376e7 | + | 6.71201e6i | 2.21748 | + | 1.06788i | ||||
\(525\) | −853153. | + | 263163.i | −0.135092 | + | 0.0416702i | ||||
\(526\) | 486074. | − | 6.48621e6i | 0.0766017 | − | 1.02218i | ||||
\(527\) | −12341.4 | + | 54071.4i | −0.00193571 | + | 0.00848088i | ||||
\(528\) | 85590.0 | + | 218080.i | 0.0133610 | + | 0.0340432i | ||||
\(529\) | 981164. | + | 1.30927e7i | 0.152441 | + | 2.03419i | ||||
\(530\) | −7.76180e6 | − | 1.16990e6i | −1.20025 | − | 0.180909i | ||||
\(531\) | 3.79503e6 | − | 3.52127e6i | 0.584089 | − | 0.541955i | ||||
\(532\) | 1.62435e6 | − | 782247.i | 0.248829 | − | 0.119830i | ||||
\(533\) | −260858. | − | 177850.i | −0.0397728 | − | 0.0271167i | ||||
\(534\) | 1.60376e6 | − | 4.08630e6i | 0.243380 | − | 0.620122i | ||||
\(535\) | −1.45081e7 | − | 4.47516e6i | −2.19142 | − | 0.675965i | ||||
\(536\) | 1.84008e6 | + | 1.70734e6i | 0.276646 | + | 0.256690i | ||||
\(537\) | −4.20273e6 | − | 5.27005e6i | −0.628920 | − | 0.788641i | ||||
\(538\) | −5.83885e6 | − | 7.32168e6i | −0.869704 | − | 1.09057i | ||||
\(539\) | −347333. | − | 322278.i | −0.0514961 | − | 0.0477814i | ||||
\(540\) | −8.68939e6 | − | 2.68032e6i | −1.28234 | − | 0.395551i | ||||
\(541\) | −1.90330e6 | + | 4.84953e6i | −0.279585 | + | 0.712372i | 0.720241 | + | 0.693724i | \(0.244031\pi\) |
−0.999826 | + | 0.0186476i | \(0.994064\pi\) | |||||||
\(542\) | 1.20956e7 | + | 8.24661e6i | 1.76859 | + | 1.20581i | ||||
\(543\) | 6.33171e6 | − | 3.04919e6i | 0.921556 | − | 0.443798i | ||||
\(544\) | 61247.7 | − | 56829.6i | 0.00887345 | − | 0.00823336i | ||||
\(545\) | 7.55865e6 | + | 1.13928e6i | 1.09007 | + | 0.164301i | ||||
\(546\) | −5398.25 | − | 72034.7i | −0.000774946 | − | 0.0103409i | ||||
\(547\) | 1.06175e6 | + | 2.70530e6i | 0.151724 | + | 0.386587i | 0.986446 | − | 0.164085i | \(-0.0524670\pi\) |
−0.834722 | + | 0.550671i | \(0.814372\pi\) | |||||||
\(548\) | 722119. | − | 3.16381e6i | 0.102721 | − | 0.450048i | ||||
\(549\) | 257225. | − | 3.43242e6i | 0.0364235 | − | 0.486038i | ||||
\(550\) | 709463. | − | 218840.i | 0.100005 | − | 0.0308476i | ||||
\(551\) | −6.99650e6 | − | 3.36934e6i | −0.981752 | − | 0.472787i | ||||
\(552\) | −4.69696e6 | − | 8.13537e6i | −0.656099 | − | 1.13640i | ||||
\(553\) | 523098. | − | 906033.i | 0.0727395 | − | 0.125989i | ||||
\(554\) | −1.05351e7 | + | 7.18270e6i | −1.45836 | + | 0.994290i | ||||
\(555\) | 1.95685e6 | + | 8.57354e6i | 0.269666 | + | 1.18148i | ||||
\(556\) | 3.91435e6 | − | 589993.i | 0.536998 | − | 0.0809394i | ||||
\(557\) | −4.64000e6 | + | 5.81837e6i | −0.633694 | + | 0.794627i | −0.990199 | − | 0.139666i | \(-0.955397\pi\) |
0.356505 | + | 0.934294i | \(0.383968\pi\) | |||||||
\(558\) | 4.53747e6 | 0.616920 | ||||||||
\(559\) | 140256. | − | 299021.i | 0.0189842 | − | 0.0404737i | ||||
\(560\) | 555745. | 0.0748869 | ||||||||
\(561\) | 3703.10 | − | 4643.54i | 0.000496773 | − | 0.000622934i | ||||
\(562\) | 6.10393e6 | − | 920020.i | 0.815209 | − | 0.122873i | ||||
\(563\) | −543805. | − | 2.38256e6i | −0.0723056 | − | 0.316792i | 0.925822 | − | 0.377960i | \(-0.123374\pi\) |
−0.998127 | + | 0.0611687i | \(0.980517\pi\) | |||||||
\(564\) | −1.60370e7 | + | 1.09338e7i | −2.12288 | + | 1.44735i | ||||
\(565\) | −7.21955e6 | + | 1.25046e7i | −0.951457 | + | 1.64797i | ||||
\(566\) | −5.00374e6 | − | 8.66674e6i | −0.656529 | − | 1.13714i | ||||
\(567\) | −1.07460e6 | − | 517501.i | −0.140375 | − | 0.0676010i | ||||
\(568\) | −7.52349e6 | + | 2.32069e6i | −0.978472 | + | 0.301819i | ||||
\(569\) | 373114. | − | 4.97886e6i | 0.0483126 | − | 0.644687i | −0.919512 | − | 0.393062i | \(-0.871416\pi\) |
0.967825 | − | 0.251625i | \(-0.0809651\pi\) | |||||||
\(570\) | 7.00039e6 | − | 3.06707e7i | 0.902475 | − | 3.95400i | ||||
\(571\) | 4.34469e6 | + | 1.10701e7i | 0.557658 | + | 1.42089i | 0.880322 | + | 0.474376i | \(0.157326\pi\) |
−0.322664 | + | 0.946514i | \(0.604578\pi\) | |||||||
\(572\) | 2623.39 | + | 35006.7i | 0.000335253 | + | 0.00447364i | ||||
\(573\) | 7.94276e6 | + | 1.19718e6i | 1.01061 | + | 0.152325i | ||||
\(574\) | −1.20980e6 | + | 1.12253e6i | −0.153262 | + | 0.142206i | ||||
\(575\) | 1.17736e7 | − | 5.66988e6i | 1.48505 | − | 0.715162i | ||||
\(576\) | −4.44212e6 | − | 3.02859e6i | −0.557872 | − | 0.380350i | ||||
\(577\) | 1.38326e6 | − | 3.52449e6i | 0.172968 | − | 0.440714i | −0.817932 | − | 0.575314i | \(-0.804880\pi\) |
0.990900 | + | 0.134600i | \(0.0429750\pi\) | |||||||
\(578\) | 1.19043e7 | + | 3.67200e6i | 1.48213 | + | 0.457175i | ||||
\(579\) | 8.88017e6 | + | 8.23959e6i | 1.10084 | + | 1.02143i | ||||
\(580\) | 6.87959e6 | + | 8.62673e6i | 0.849166 | + | 1.06482i | ||||
\(581\) | −429210. | − | 538212.i | −0.0527508 | − | 0.0661475i | ||||
\(582\) | −9.14169e6 | − | 8.48225e6i | −1.11871 | − | 1.03802i | ||||
\(583\) | 313996. | + | 96854.8i | 0.0382606 | + | 0.0118018i | ||||
\(584\) | 72831.6 | − | 185572.i | 0.00883665 | − | 0.0225154i | ||||
\(585\) | −182193. | − | 124217.i | −0.0220111 | − | 0.0150069i | ||||
\(586\) | 1.90460e7 | − | 9.17208e6i | 2.29119 | − | 1.10338i | ||||
\(587\) | 1.18446e6 | − | 1.09901e6i | 0.141881 | − | 0.131646i | −0.606040 | − | 0.795434i | \(-0.707243\pi\) |
0.747921 | + | 0.663788i | \(0.231052\pi\) | |||||||
\(588\) | 1.37082e7 | + | 2.06618e6i | 1.63507 | + | 0.246448i | ||||
\(589\) | −919022. | − | 1.22635e7i | −0.109154 | − | 1.45655i | ||||
\(590\) | 1.24638e7 | + | 3.17573e7i | 1.47408 | + | 3.75590i | ||||
\(591\) | 139978. | − | 613283.i | 0.0164851 | − | 0.0722258i | ||||
\(592\) | 198791. | − | 2.65267e6i | 0.0233126 | − | 0.311085i | ||||
\(593\) | −7.82412e6 | + | 2.41342e6i | −0.913689 | + | 0.281836i | −0.715732 | − | 0.698375i | \(-0.753907\pi\) |
−0.197957 | + | 0.980211i | \(0.563431\pi\) | |||||||
\(594\) | 586879. | + | 282626.i | 0.0682469 | + | 0.0328660i | ||||
\(595\) | −7044.61 | − | 12201.6i | −0.000815763 | − | 0.00141294i | ||||
\(596\) | −2.65423e6 | + | 4.59726e6i | −0.306072 | + | 0.530131i | ||||
\(597\) | −1.41533e6 | + | 964955.i | −0.162526 | + | 0.110808i | ||||
\(598\) | 235270. | + | 1.03078e6i | 0.0269038 | + | 0.117873i | ||||
\(599\) | 7.70865e6 | − | 1.16189e6i | 0.877832 | − | 0.132312i | 0.305361 | − | 0.952237i | \(-0.401223\pi\) |
0.572471 | + | 0.819925i | \(0.305985\pi\) | |||||||
\(600\) | −3.91183e6 | + | 4.90528e6i | −0.443610 | + | 0.556270i | ||||
\(601\) | −1.68652e7 | −1.90461 | −0.952305 | − | 0.305146i | \(-0.901295\pi\) | ||||
−0.952305 | + | 0.305146i | \(0.901295\pi\) | |||||||
\(602\) | −1.36075e6 | − | 1.06260e6i | −0.153033 | − | 0.119503i | ||||
\(603\) | 2.28530e6 | 0.255947 | ||||||||
\(604\) | −3.78007e6 | + | 4.74006e6i | −0.421607 | + | 0.528678i | ||||
\(605\) | 1.23536e7 | − | 1.86201e6i | 1.37216 | − | 0.206820i | ||||
\(606\) | −2.20305e6 | − | 9.65219e6i | −0.243693 | − | 1.06769i | ||||
\(607\) | −1.00491e7 | + | 6.85135e6i | −1.10702 | + | 0.754752i | −0.971740 | − | 0.236056i | \(-0.924145\pi\) |
−0.135278 | + | 0.990808i | \(0.543193\pi\) | |||||||
\(608\) | −9.26320e6 | + | 1.60443e7i | −1.01625 | + | 1.76020i | ||||
\(609\) | 475241. | + | 823141.i | 0.0519243 | + | 0.0899355i | ||||
\(610\) | 2.04362e7 | + | 9.84154e6i | 2.22369 | + | 1.07087i | ||||
\(611\) | 602928. | − | 185979.i | 0.0653375 | − | 0.0201540i | ||||
\(612\) | −3887.41 | + | 51873.9i | −0.000419548 | + | 0.00559848i | ||||
\(613\) | 475967. | − | 2.08535e6i | 0.0511594 | − | 0.224144i | −0.942885 | − | 0.333118i | \(-0.891899\pi\) |
0.994045 | + | 0.108974i | \(0.0347565\pi\) | |||||||
\(614\) | −9.00093e6 | − | 2.29340e7i | −0.963533 | − | 2.45504i | ||||
\(615\) | 1.25765e6 | + | 1.67822e7i | 0.134083 | + | 1.78921i | ||||
\(616\) | 52408.9 | + | 7899.37i | 0.00556485 | + | 0.000838766i | ||||
\(617\) | −78781.9 | + | 73098.9i | −0.00833131 | + | 0.00773033i | −0.684327 | − | 0.729175i | \(-0.739904\pi\) |
0.675996 | + | 0.736905i | \(0.263714\pi\) | |||||||
\(618\) | 5.21239e6 | − | 2.51015e6i | 0.548991 | − | 0.264380i | ||||
\(619\) | −1.39506e7 | − | 9.51137e6i | −1.46341 | − | 0.997738i | −0.993353 | − | 0.115104i | \(-0.963280\pi\) |
−0.470060 | − | 0.882635i | \(-0.655768\pi\) | |||||||
\(620\) | −6.38397e6 | + | 1.62661e7i | −0.666979 | + | 1.69943i | ||||
\(621\) | 1.09556e7 | + | 3.37936e6i | 1.14001 | + | 0.351646i | ||||
\(622\) | −1.44071e7 | − | 1.33679e7i | −1.49314 | − | 1.38543i | ||||
\(623\) | 271794. | + | 340819.i | 0.0280556 | + | 0.0351806i | ||||
\(624\) | 138927. | + | 174209.i | 0.0142832 | + | 0.0179105i | ||||
\(625\) | 7.52842e6 | + | 6.98536e6i | 0.770911 | + | 0.715300i | ||||
\(626\) | 834965. | + | 257552.i | 0.0851593 | + | 0.0262682i | ||||
\(627\) | −481138. | + | 1.22592e6i | −0.0488766 | + | 0.124535i | ||||
\(628\) | 6.19909e6 | + | 4.22647e6i | 0.627233 | + | 0.427640i | ||||
\(629\) | −60760.4 | + | 29260.7i | −0.00612342 | + | 0.00294889i | ||||
\(630\) | −844969. | + | 784016.i | −0.0848182 | + | 0.0786998i | ||||
\(631\) | 9.89476e6 | + | 1.49140e6i | 0.989309 | + | 0.149114i | 0.623708 | − | 0.781657i | \(-0.285625\pi\) |
0.365601 | + | 0.930772i | \(0.380863\pi\) | |||||||
\(632\) | −549410. | − | 7.33136e6i | −0.0547146 | − | 0.730116i | ||||
\(633\) | −2.64972e6 | − | 6.75137e6i | −0.262839 | − | 0.669703i | ||||
\(634\) | 1.86788e6 | − | 8.18371e6i | 0.184555 | − | 0.808588i | ||||
\(635\) | 270458. | − | 3.60901e6i | 0.0266174 | − | 0.355184i | ||||
\(636\) | −9.18694e6 | + | 2.83380e6i | −0.900592 | + | 0.277796i | ||||
\(637\) | −406026. | − | 195532.i | −0.0396465 | − | 0.0190928i | ||||
\(638\) | −395200. | − | 684507.i | −0.0384384 | − | 0.0665773i | ||||
\(639\) | −3.58400e6 | + | 6.20767e6i | −0.347229 | + | 0.601418i | ||||
\(640\) | 1.38047e7 | − | 9.41190e6i | 1.33223 | − | 0.908296i | ||||
\(641\) | −4.56732e6 | − | 2.00107e7i | −0.439052 | − | 1.92361i | −0.378940 | − | 0.925421i | \(-0.623711\pi\) |
−0.0601119 | − | 0.998192i | \(-0.519146\pi\) | |||||||
\(642\) | −3.14652e7 | + | 4.74261e6i | −3.01296 | + | 0.454130i | ||||
\(643\) | −3.48594e6 | + | 4.37123e6i | −0.332501 | + | 0.416943i | −0.919775 | − | 0.392445i | \(-0.871629\pi\) |
0.587275 | + | 0.809388i | \(0.300201\pi\) | |||||||
\(644\) | 3.22984e6 | 0.306878 | ||||||||
\(645\) | −1.71233e7 | + | 4.09274e6i | −1.62064 | + | 0.387360i | ||||
\(646\) | 241254. | 0.0227454 | ||||||||
\(647\) | −5.43664e6 | + | 6.81733e6i | −0.510587 | + | 0.640256i | −0.968581 | − | 0.248699i | \(-0.919997\pi\) |
0.457994 | + | 0.888956i | \(0.348568\pi\) | |||||||
\(648\) | −8.28795e6 | + | 1.24921e6i | −0.775371 | + | 0.116868i | ||||
\(649\) | −317793. | − | 1.39234e6i | −0.0296164 | − | 0.129758i | ||||
\(650\) | 583451. | − | 397790.i | 0.0541653 | − | 0.0369292i | ||||
\(651\) | −752616. | + | 1.30357e6i | −0.0696018 | + | 0.120554i | ||||
\(652\) | 275059. | + | 476415.i | 0.0253400 | + | 0.0438901i | ||||
\(653\) | −277558. | − | 133665.i | −0.0254725 | − | 0.0122669i | 0.421104 | − | 0.907012i | \(-0.361643\pi\) |
−0.446577 | + | 0.894745i | \(0.647357\pi\) | |||||||
\(654\) | 1.53090e7 | − | 4.72220e6i | 1.39960 | − | 0.431718i | ||||
\(655\) | −2.00321e6 | + | 2.67310e7i | −0.182441 | + | 2.43451i | ||||
\(656\) | 1.13279e6 | − | 4.96307e6i | 0.102775 | − | 0.450289i | ||||
\(657\) | −66307.5 | − | 168949.i | −0.00599306 | − | 0.0152701i | ||||
\(658\) | −246477. | − | 3.28901e6i | −0.0221928 | − | 0.296142i | ||||
\(659\) | 1.28112e7 | + | 1.93098e6i | 1.14915 | + | 0.173207i | 0.695875 | − | 0.718163i | \(-0.255017\pi\) |
0.453277 | + | 0.891370i | \(0.350255\pi\) | |||||||
\(660\) | 1.37173e6 | − | 1.27278e6i | 0.122577 | − | 0.113735i | ||||
\(661\) | 1.51586e7 | − | 7.30000e6i | 1.34945 | − | 0.649859i | 0.387189 | − | 0.922000i | \(-0.373446\pi\) |
0.962257 | + | 0.272141i | \(0.0877318\pi\) | |||||||
\(662\) | −1.91877e7 | − | 1.30819e7i | −1.70168 | − | 1.16018i | ||||
\(663\) | 2063.80 | − | 5258.46i | 0.000182340 | − | 0.000464596i | ||||
\(664\) | −4.62266e6 | − | 1.42590e6i | −0.406885 | − | 0.125507i | ||||
\(665\) | 2.29011e6 | + | 2.12491e6i | 0.200818 | + | 0.186332i | ||||
\(666\) | 3.44001e6 | + | 4.31364e6i | 0.300520 | + | 0.376841i | ||||
\(667\) | −8.67383e6 | − | 1.08766e7i | −0.754912 | − | 0.946629i | ||||
\(668\) | −1.15572e7 | − | 1.07235e7i | −1.00210 | − | 0.929813i | ||||
\(669\) | −1.02252e7 | − | 3.15405e6i | −0.883295 | − | 0.272460i | ||||
\(670\) | −5.50193e6 | + | 1.40187e7i | −0.473508 | + | 1.20648i | ||||
\(671\) | −784539. | − | 534890.i | −0.0672680 | − | 0.0458625i | ||||
\(672\) | 2.04302e6 | − | 983868.i | 0.174522 | − | 0.0840454i | ||||
\(673\) | −109288. | + | 101405.i | −0.00930112 | + | 0.00863018i | −0.684810 | − | 0.728722i | \(-0.740115\pi\) |
0.675508 | + | 0.737352i | \(0.263924\pi\) | |||||||
\(674\) | 2.25671e7 | + | 3.40145e6i | 1.91349 | + | 0.288412i | ||||
\(675\) | −572232. | − | 7.63591e6i | −0.0483407 | − | 0.645062i | ||||
\(676\) | −6.09145e6 | − | 1.55208e7i | −0.512689 | − | 1.30631i | ||||
\(677\) | −854322. | + | 3.74303e6i | −0.0716390 | + | 0.313871i | −0.998033 | − | 0.0626835i | \(-0.980034\pi\) |
0.926394 | + | 0.376555i | \(0.122891\pi\) | |||||||
\(678\) | −2.26150e6 | + | 3.01776e7i | −0.188939 | + | 2.52122i | ||||
\(679\) | 1.18339e6 | − | 365026.i | 0.0985035 | − | 0.0303843i | ||||
\(680\) | −89203.9 | − | 42958.3i | −0.00739795 | − | 0.00356267i | ||||
\(681\) | 9.31138e6 | + | 1.61278e7i | 0.769389 | + | 1.33262i | ||||
\(682\) | 625859. | − | 1.08402e6i | 0.0515247 | − | 0.0892434i | ||||
\(683\) | 1.61379e6 | − | 1.10027e6i | 0.132372 | − | 0.0902497i | −0.495324 | − | 0.868708i | \(-0.664951\pi\) |
0.627696 | + | 0.778459i | \(0.283998\pi\) | |||||||
\(684\) | −2.56668e6 | − | 1.12453e7i | −0.209764 | − | 0.919036i | ||||
\(685\) | 5.56047e6 | − | 838107.i | 0.452778 | − | 0.0682453i | ||||
\(686\) | −2.96091e6 | + | 3.71287e6i | −0.240224 | + | 0.301231i | ||||
\(687\) | −712729. | −0.0576146 | ||||||||
\(688\) | 5.31443e6 | + | 343707.i | 0.428041 | + | 0.0276833i | ||||
\(689\) | 312530. | 0.0250810 | ||||||||
\(690\) | 3.51392e7 | − | 4.40631e7i | 2.80976 | − | 3.52332i | ||||
\(691\) | −2.47616e6 | + | 373221.i | −0.197280 | + | 0.0297352i | −0.246939 | − | 0.969031i | \(-0.579425\pi\) |
0.0496587 | + | 0.998766i | \(0.484187\pi\) | |||||||
\(692\) | −5.80133e6 | − | 2.54173e7i | −0.460535 | − | 2.01773i | ||||
\(693\) | 39868.6 | − | 27182.0i | 0.00315354 | − | 0.00215005i | ||||
\(694\) | 7.00546e6 | − | 1.21338e7i | 0.552126 | − | 0.956310i | ||||
\(695\) | 3.42972e6 | + | 5.94046e6i | 0.269338 | + | 0.466507i | ||||
\(696\) | 6.01784e6 | + | 2.89804e6i | 0.470888 | + | 0.226768i | ||||
\(697\) | −123326. | + | 38040.9i | −0.00961548 | + | 0.00296598i | ||||
\(698\) | −1.18851e6 | + | 1.58596e7i | −0.0923345 | + | 1.23212i | ||||
\(699\) | 5.22617e6 | − | 2.28974e7i | 0.404567 | − | 1.77252i | ||||
\(700\) | −788102. | − | 2.00805e6i | −0.0607907 | − | 0.154892i | ||||
\(701\) | 201669. | + | 2.69109e6i | 0.0155005 | + | 0.206839i | 0.999577 | + | 0.0290925i | \(0.00926175\pi\) |
−0.984076 | + | 0.177747i | \(0.943119\pi\) | |||||||
\(702\) | 612623. | + | 92338.1i | 0.0469192 | + | 0.00707193i | ||||
\(703\) | 1.09618e7 | − | 1.01711e7i | 0.836552 | − | 0.776207i | ||||
\(704\) | −1.33625e6 | + | 643503.i | −0.101614 | + | 0.0489349i | ||||
\(705\) | −2.77891e7 | − | 1.89463e7i | −2.10572 | − | 1.43566i | ||||
\(706\) | −1.18721e7 | + | 3.02496e7i | −0.896429 | + | 2.28406i | ||||
\(707\) | 939480. | + | 289791.i | 0.0706869 | + | 0.0218040i | ||||
\(708\) | 3.06306e7 | + | 2.84210e7i | 2.29653 | + | 2.13087i | ||||
\(709\) | 4.52733e6 | + | 5.67710e6i | 0.338241 | + | 0.424141i | 0.921641 | − | 0.388044i | \(-0.126849\pi\) |
−0.583399 | + | 0.812185i | \(0.698278\pi\) | |||||||
\(710\) | −2.94510e7 | − | 3.69304e7i | −2.19257 | − | 2.74940i | ||||
\(711\) | −4.90657e6 | − | 4.55263e6i | −0.364002 | − | 0.337745i | ||||
\(712\) | 2.92726e6 | + | 902941.i | 0.216402 | + | 0.0667512i | ||||
\(713\) | 8.04895e6 | − | 2.05084e7i | 0.592946 | − | 1.51080i | ||||
\(714\) | −24397.9 | − | 16634.2i | −0.00179105 | − | 0.00122112i | ||||
\(715\) | −54806.0 | + | 26393.2i | −0.00400925 | + | 0.00193075i | ||||
\(716\) | 1.19387e7 | − | 1.10775e7i | 0.870312 | − | 0.807532i | ||||
\(717\) | −1.94296e7 | − | 2.92854e6i | −1.41145 | − | 0.212742i | ||||
\(718\) | 1.94183e6 | + | 2.59119e7i | 0.140572 | + | 1.87580i | ||||
\(719\) | 4.13663e6 | + | 1.05400e7i | 0.298418 | + | 0.760355i | 0.998909 | + | 0.0466948i | \(0.0148688\pi\) |
−0.700492 | + | 0.713661i | \(0.747036\pi\) | |||||||
\(720\) | 791182. | − | 3.46639e6i | 0.0568781 | − | 0.249199i | ||||
\(721\) | −42933.2 | + | 572903.i | −0.00307578 | + | 0.0410434i | ||||
\(722\) | −3.03562e7 | + | 9.36365e6i | −2.16723 | + | 0.668501i | ||||
\(723\) | 1.20126e7 | + | 5.78499e6i | 0.854659 | + | 0.411582i | ||||
\(724\) | 8.48990e6 | + | 1.47049e7i | 0.601944 | + | 1.04260i | ||||
\(725\) | −4.64574e6 | + | 8.04666e6i | −0.328254 | + | 0.568552i | ||||
\(726\) | 2.16341e7 | − | 1.47499e7i | 1.52334 | − | 1.03860i | ||||
\(727\) | −2.09621e6 | − | 9.18412e6i | −0.147096 | − | 0.644468i | −0.993683 | − | 0.112219i | \(-0.964204\pi\) |
0.846588 | − | 0.532249i | \(-0.178653\pi\) | |||||||
\(728\) | 49846.8 | − | 7513.20i | 0.00348585 | − | 0.000525408i | ||||
\(729\) | 2.55561e6 | − | 3.20463e6i | 0.178105 | − | 0.223336i | ||||
\(730\) | 1.19602e6 | 0.0830672 | ||||||||
\(731\) | −59819.2 | − | 121037.i | −0.00414045 | − | 0.00837772i | ||||
\(732\) | 2.77816e7 | 1.91637 | ||||||||
\(733\) | −9.38006e6 | + | 1.17622e7i | −0.644831 | + | 0.808592i | −0.991598 | − | 0.129359i | \(-0.958708\pi\) |
0.346767 | + | 0.937951i | \(0.387279\pi\) | |||||||
\(734\) | −3.99161e7 | + | 6.01639e6i | −2.73469 | + | 0.412188i | ||||
\(735\) | 5.34542e6 | + | 2.34198e7i | 0.364975 | + | 1.59906i | ||||
\(736\) | −2.74225e7 | + | 1.86963e7i | −1.86600 | + | 1.27222i | ||||
\(737\) | 315214. | − | 545967.i | 0.0213765 | − | 0.0370252i | ||||
\(738\) | 5.27932e6 | + | 9.14406e6i | 0.356810 | + | 0.618014i | ||||
\(739\) | −3.30530e6 | − | 1.59175e6i | −0.222638 | − | 0.107217i | 0.319240 | − | 0.947674i | \(-0.396572\pi\) |
−0.541878 | + | 0.840457i | \(0.682287\pi\) | |||||||
\(740\) | −2.03036e7 | + | 6.26283e6i | −1.36299 | + | 0.420427i | ||||
\(741\) | −93605.0 | + | 1.24907e6i | −0.00626259 | + | 0.0835684i | ||||
\(742\) | 363532. | − | 1.59274e6i | 0.0242400 | − | 0.106202i | ||||
\(743\) | 3.66281e6 | + | 9.33269e6i | 0.243412 | + | 0.620204i | 0.999409 | − | 0.0343709i | \(-0.0109428\pi\) |
−0.755997 | + | 0.654575i | \(0.772848\pi\) | |||||||
\(744\) | 790471. | + | 1.05481e7i | 0.0523545 | + | 0.698622i | ||||
\(745\) | −9.09583e6 | − | 1.37098e6i | −0.600415 | − | 0.0904980i | ||||
\(746\) | 2.39183e7 | − | 2.21929e7i | 1.57356 | − | 1.46005i | ||||
\(747\) | −3.96808e6 | + | 1.91092e6i | −0.260183 | + | 0.125297i | ||||
\(748\) | 11856.7 | + | 8083.74i | 0.000774834 | + | 0.000528273i | ||||
\(749\) | 1.15446e6 | − | 2.94151e6i | 0.0751922 | − | 0.191587i | ||||
\(750\) | 2.07853e6 | + | 641140.i | 0.134928 | + | 0.0416198i | ||||
\(751\) | −5.88194e6 | − | 5.45765e6i | −0.380558 | − | 0.353106i | 0.466580 | − | 0.884479i | \(-0.345486\pi\) |
−0.847138 | + | 0.531373i | \(0.821676\pi\) | |||||||
\(752\) | 6.34323e6 | + | 7.95416e6i | 0.409040 | + | 0.512920i | ||||
\(753\) | 1.81582e6 | + | 2.27697e6i | 0.116704 | + | 0.146342i | ||||
\(754\) | −551079. | − | 511327.i | −0.0353009 | − | 0.0327545i | ||||
\(755\) | −1.00389e7 | − | 3.09659e6i | −0.640943 | − | 0.197705i | ||||
\(756\) | 691442. | − | 1.76176e6i | 0.0439998 | − | 0.112110i | ||||
\(757\) | 9.08097e6 | + | 6.19130e6i | 0.575960 | + | 0.392683i | 0.815976 | − | 0.578086i | \(-0.196200\pi\) |
−0.240016 | + | 0.970769i | \(0.577153\pi\) | |||||||
\(758\) | 6.07415e6 | − | 2.92516e6i | 0.383984 | − | 0.184917i | ||||
\(759\) | −1.72948e6 | + | 1.60473e6i | −0.108971 | + | 0.101111i | ||||
\(760\) | 2.17086e7 | + | 3.27204e6i | 1.36332 | + | 0.205487i | ||||
\(761\) | −480307. | − | 6.40926e6i | −0.0300647 | − | 0.401186i | −0.991853 | − | 0.127391i | \(-0.959340\pi\) |
0.961788 | − | 0.273796i | \(-0.0882792\pi\) | |||||||
\(762\) | −2.77117e6 | − | 7.06083e6i | −0.172893 | − | 0.440523i | ||||
\(763\) | −354017. | + | 1.55105e6i | −0.0220147 | + | 0.0964528i | ||||
\(764\) | −1.45033e6 | + | 1.93533e7i | −0.0898945 | + | 1.19956i | ||||
\(765\) | −86135.1 | + | 26569.2i | −0.00532141 | + | 0.00164144i | ||||
\(766\) | 2.31535e7 | + | 1.11501e7i | 1.42575 | + | 0.686606i | ||||
\(767\) | −679165. | − | 1.17635e6i | −0.0416857 | − | 0.0722017i | ||||
\(768\) | 2.07851e6 | − | 3.60009e6i | 0.127160 | − | 0.220247i | ||||
\(769\) | 7.35343e6 | − | 5.01348e6i | 0.448409 | − | 0.305720i | −0.317979 | − | 0.948098i | \(-0.603004\pi\) |
0.766388 | + | 0.642378i | \(0.222052\pi\) | |||||||
\(770\) | 70756.9 | + | 310006.i | 0.00430073 | + | 0.0188427i | ||||
\(771\) | −2.76241e6 | + | 416366.i | −0.167360 | + | 0.0252255i | ||||
\(772\) | −1.82489e7 | + | 2.28834e7i | −1.10203 | + | 1.38190i | ||||
\(773\) | −4.18078e6 | −0.251657 | −0.125828 | − | 0.992052i | \(-0.540159\pi\) | ||||
−0.125828 | + | 0.992052i | \(0.540159\pi\) | |||||||
\(774\) | −8.56507e6 | + | 6.97474e6i | −0.513900 | + | 0.418481i | ||||
\(775\) | −1.47145e7 | −0.880015 | ||||||||
\(776\) | 5.42599e6 | − | 6.80398e6i | 0.323463 | − | 0.405610i | ||||
\(777\) | −1.80984e6 | + | 272790.i | −0.107545 | + | 0.0162097i | ||||
\(778\) | −722520. | − | 3.16557e6i | −0.0427958 | − | 0.187500i | ||||
\(779\) | 2.36445e7 | − | 1.61206e7i | 1.39600 | − | 0.951779i | ||||
\(780\) | 889889. | − | 1.54133e6i | 0.0523720 | − | 0.0907110i | ||||
\(781\) | 988691. | + | 1.71246e6i | 0.0580006 | + | 0.100460i | ||||
\(782\) | 389399. | + | 187525.i | 0.0227708 | + | 0.0109658i | ||||
\(783\) | −7.78971e6 | + | 2.40281e6i | −0.454064 | + | 0.140060i | ||||
\(784\) | 543024. | − | 7.24615e6i | 0.0315521 | − | 0.421034i | ||||
\(785\) | −2.89298e6 | + | 1.26750e7i | −0.167560 | + | 0.734129i | ||||
\(786\) | 2.05253e7 | + | 5.22977e7i | 1.18504 | + | 3.01944i | ||||
\(787\) | 1.31497e6 | + | 1.75471e7i | 0.0756798 | + | 1.00988i | 0.897754 | + | 0.440497i | \(0.145198\pi\) |
−0.822074 | + | 0.569380i | \(0.807183\pi\) | |||||||
\(788\) | 1.50291e6 | + | 226527.i | 0.0862217 | + | 0.0129958i | ||||
\(789\) | 1.01195e7 | − | 9.38956e6i | 0.578720 | − | 0.536973i | ||||
\(790\) | 3.97398e7 | − | 1.91377e7i | 2.26547 | − | 1.09099i | ||||
\(791\) | −2.48300e6 | − | 1.69288e6i | −0.141103 | − | 0.0962024i | ||||
\(792\) | 123883. | − | 315648.i | 0.00701776 | − | 0.0178810i | ||||
\(793\) | −862989. | − | 266197.i | −0.0487329 | − | 0.0150321i | ||||
\(794\) | −2.16110e7 | − | 2.00521e7i | −1.21653 | − | 1.12878i | ||||
\(795\) | −1.03870e7 | − | 1.30248e7i | −0.582869 | − | 0.730894i | ||||
\(796\) | −2.58049e6 | − | 3.23583e6i | −0.144351 | − | 0.181010i | ||||
\(797\) | −7.62681e6 | − | 7.07665e6i | −0.425302 | − | 0.394623i | 0.438274 | − | 0.898841i | \(-0.355590\pi\) |
−0.863576 | + | 0.504219i | \(0.831780\pi\) | |||||||
\(798\) | 6.25673e6 | + | 1.92994e6i | 0.347808 | + | 0.107285i | ||||
\(799\) | 94230.3 | − | 240095.i | 0.00522184 | − | 0.0133050i | ||||
\(800\) | 1.83151e7 | + | 1.24870e7i | 1.01178 | + | 0.689819i | ||||
\(801\) | 2.51275e6 | − | 1.21008e6i | 0.138379 | − | 0.0666396i | ||||
\(802\) | −3.39549e7 | + | 3.15055e7i | −1.86409 | + | 1.72962i | ||||
\(803\) | −49508.3 | − | 7462.18i | −0.00270950 | − | 0.000408392i | ||||
\(804\) | 1.37841e6 | + | 1.83936e7i | 0.0752036 | + | 1.00352i | ||||
\(805\) | 2.04471e6 | + | 5.20983e6i | 0.111209 | + | 0.283357i | ||||
\(806\) | 264917. | − | 1.16068e6i | 0.0143639 | − | 0.0629323i | ||||
\(807\) | 1.48529e6 | − | 1.98199e7i | 0.0802839 | − | 1.07131i | ||||
\(808\) | 6.60199e6 | − | 2.03644e6i | 0.355751 | − | 0.109735i | ||||
\(809\) | −7.27637e6 | − | 3.50412e6i | −0.390880 | − | 0.188238i | 0.228112 | − | 0.973635i | \(-0.426745\pi\) |
−0.618993 | + | 0.785397i | \(0.712459\pi\) | |||||||
\(810\) | −2.51426e7 | − | 4.35483e7i | −1.34647 | − | 2.33216i | ||||
\(811\) | 4.50692e6 | − | 7.80621e6i | 0.240618 | − | 0.416762i | −0.720273 | − | 0.693691i | \(-0.755983\pi\) |
0.960890 | + | 0.276929i | \(0.0893166\pi\) | |||||||
\(812\) | −1.89745e6 | + | 1.29366e6i | −0.100990 | + | 0.0688542i | ||||
\(813\) | 6.91369e6 | + | 3.02909e7i | 0.366846 | + | 1.60726i | ||||
\(814\) | 1.50503e6 | − | 226846.i | 0.0796129 | − | 0.0119997i | ||||
\(815\) | −594342. | + | 745281.i | −0.0313431 | + | 0.0393030i | ||||
\(816\) | 91085.1 | 0.00478875 | ||||||||
\(817\) | 2.05855e7 | + | 2.17363e7i | 1.07896 | + | 1.13928i | ||||
\(818\) | 2.04017e6 | 0.106606 | ||||||||
\(819\) | 28614.6 | − | 35881.5i | 0.00149066 | − | 0.00186922i | ||||
\(820\) | −4.02077e7 | + | 6.06033e6i | −2.08821 | + | 0.314747i | ||||
\(821\) | −4.43722e6 | − | 1.94407e7i | −0.229748 | − | 1.00659i | −0.949845 | − | 0.312720i | \(-0.898760\pi\) |
0.720097 | − | 0.693874i | \(-0.244097\pi\) | |||||||
\(822\) | 9.73770e6 | − | 6.63905e6i | 0.502663 | − | 0.342710i | ||||
\(823\) | 1.75861e6 | − | 3.04599e6i | 0.0905042 | − | 0.156758i | −0.817219 | − | 0.576327i | \(-0.804485\pi\) |
0.907723 | + | 0.419569i | \(0.137819\pi\) | |||||||
\(824\) | 2.01862e6 | + | 3.49635e6i | 0.103571 | + | 0.179390i | ||||
\(825\) | 1.41969e6 | + | 683689.i | 0.0726206 | + | 0.0349722i | ||||
\(826\) | −6.78498e6 | + | 2.09289e6i | −0.346018 | + | 0.106732i | ||||
\(827\) | −2.11514e6 | + | 2.82245e7i | −0.107541 | + | 1.43504i | 0.638748 | + | 0.769416i | \(0.279452\pi\) |
−0.746290 | + | 0.665621i | \(0.768167\pi\) | |||||||
\(828\) | 4.59813e6 | − | 2.01457e7i | 0.233080 | − | 1.02119i | ||||
\(829\) | 5.56557e6 | + | 1.41808e7i | 0.281270 | + | 0.716664i | 0.999776 | + | 0.0211439i | \(0.00673083\pi\) |
−0.718506 | + | 0.695520i | \(0.755174\pi\) | |||||||
\(830\) | −2.16889e6 | − | 2.89419e7i | −0.109281 | − | 1.45825i | ||||
\(831\) | −2.67592e7 | − | 4.03330e6i | −1.34422 | − | 0.202609i | ||||
\(832\) | −1.03406e6 | + | 959464.i | −0.0517888 | + | 0.0480530i | ||||
\(833\) | −165976. | + | 79929.6i | −0.00828765 | + | 0.00399112i | ||||
\(834\) | 1.18783e7 | + | 8.09852e6i | 0.591345 | + | 0.403172i | ||||
\(835\) | 9.98086e6 | − | 2.54308e7i | 0.495395 | − | 1.26225i | ||||
\(836\) | −3.04058e6 | − | 937894.i | −0.150467 | − | 0.0464128i | ||||
\(837\) | −9.46350e6 | − | 8.78085e6i | −0.466915 | − | 0.433234i | ||||
\(838\) | −5.50205e6 | − | 6.89935e6i | −0.270654 | − | 0.339390i | ||||
\(839\) | −2.00112e7 | − | 2.50933e7i | −0.981450 | − | 1.23070i | −0.973017 | − | 0.230736i | \(-0.925887\pi\) |
−0.00843395 | − | 0.999964i | \(-0.502685\pi\) | |||||||
\(840\) | −1.96978e6 | − | 1.82769e6i | −0.0963205 | − | 0.0893724i | ||||
\(841\) | −1.01478e7 | − | 3.13017e6i | −0.494744 | − | 0.152608i | ||||
\(842\) | 5.83750e6 | − | 1.48737e7i | 0.283757 | − | 0.723002i | ||||
\(843\) | 1.08246e7 | + | 7.38010e6i | 0.524618 | + | 0.357679i | ||||
\(844\) | 1.57882e7 | − | 7.60319e6i | 0.762915 | − | 0.367400i | ||||
\(845\) | 2.11792e7 | − | 1.96514e7i | 1.02039 | − | 0.946785i | ||||
\(846\) | −2.08657e7 | − | 3.14500e6i | −1.00232 | − | 0.151076i | ||||
\(847\) | 194312. | + | 2.59291e6i | 0.00930659 | + | 0.124188i | ||||
\(848\) | 1.84107e6 | + | 4.69097e6i | 0.0879185 | + | 0.224013i | ||||
\(849\) | 4.72623e6 | − | 2.07070e7i | 0.225033 | − | 0.985932i | ||||
\(850\) | 21571.7 | − | 287854.i | 0.00102409 | − | 0.0136655i | ||||
\(851\) | 2.55989e7 | − | 7.89620e6i | 1.21170 | − | 0.373761i | ||||
\(852\) | −5.21252e7 | − | 2.51022e7i | −2.46008 | − | 1.18471i | ||||
\(853\) | −7.65502e6 | − | 1.32589e7i | −0.360225 | − | 0.623928i | 0.627773 | − | 0.778397i | \(-0.283967\pi\) |
−0.987998 | + | 0.154469i | \(0.950633\pi\) | |||||||
\(854\) | −2.36043e6 | + | 4.08839e6i | −0.110751 | + | 0.191826i | ||||
\(855\) | 1.65142e7 | − | 1.12592e7i | 0.772578 | − | 0.526735i | ||||
\(856\) | −4.94125e6 | − | 2.16490e7i | −0.230490 | − | 1.00984i | ||||
\(857\) | 1.76090e6 | − | 265412.i | 0.0818996 | − | 0.0123444i | −0.107965 | − | 0.994155i | \(-0.534433\pi\) |
0.189864 | + | 0.981810i | \(0.439195\pi\) | |||||||
\(858\) | −79489.4 | + | 99676.5i | −0.00368630 | + | 0.00462248i | ||||
\(859\) | 2.73099e7 | 1.26281 | 0.631404 | − | 0.775454i | \(-0.282479\pi\) | ||||
0.631404 | + | 0.775454i | \(0.282479\pi\) | |||||||
\(860\) | −1.29527e7 | − | 4.05174e7i | −0.597193 | − | 1.86808i | ||||
\(861\) | −3.50266e6 | −0.161024 | ||||||||
\(862\) | 1.47166e7 | − | 1.84540e7i | 0.674587 | − | 0.845906i | ||||
\(863\) | 1.47416e7 | − | 2.22194e6i | 0.673781 | − | 0.101556i | 0.196765 | − | 0.980451i | \(-0.436956\pi\) |
0.477016 | + | 0.878895i | \(0.341718\pi\) | |||||||
\(864\) | 4.32761e6 | + | 1.89605e7i | 0.197226 | + | 0.864103i | ||||
\(865\) | 3.73262e7 | − | 2.54486e7i | 1.69619 | − | 1.15644i | ||||
\(866\) | 2.03238e7 | − | 3.52018e7i | 0.920893 | − | 1.59503i | ||||
\(867\) | 1.32199e7 | + | 2.28976e7i | 0.597286 | + | 1.03453i | ||||
\(868\) | −3.27668e6 | − | 1.57797e6i | −0.147616 | − | 0.0710884i | ||||
\(869\) | −1.76441e6 | + | 544248.i | −0.0792592 | + | 0.0244482i | ||||
\(870\) | −2.99462e6 | + | 3.99604e7i | −0.134135 | + | 1.78991i | ||||
\(871\) | 133426. | − | 584576.i | 0.00595928 | − | 0.0261093i | ||||
\(872\) | 4.08451e6 | + | 1.04072e7i | 0.181907 | + | 0.463490i | ||||
\(873\) | −592090. | − | 7.90089e6i | −0.0262937 | − | 0.350866i | ||||
\(874\) | −9.47639e7 | − | 1.42834e7i | −4.19628 | − | 0.632487i | ||||
\(875\) | −158342. | + | 146920.i | −0.00699161 | + | 0.00648726i | ||||
\(876\) | 1.31982e6 | − | 635590.i | 0.0581103 | − | 0.0279844i | ||||
\(877\) | 1.66022e7 | + | 1.13192e7i | 0.728898 | + | 0.496954i | 0.870007 | − | 0.493040i | \(-0.164114\pi\) |
−0.141109 | + | 0.989994i | \(0.545067\pi\) | |||||||
\(878\) | 4.67323e6 | − | 1.19072e7i | 0.204589 | − | 0.521283i | ||||
\(879\) | 4.28723e7 | + | 1.32244e7i | 1.87157 | + | 0.577302i | ||||
\(880\) | −719006. | − | 667140.i | −0.0312987 | − | 0.0290409i | ||||
\(881\) | −1.07646e7 | − | 1.34984e7i | −0.467260 | − | 0.585925i | 0.491238 | − | 0.871025i | \(-0.336545\pi\) |
−0.958498 | + | 0.285100i | \(0.907973\pi\) | |||||||
\(882\) | 9.39686e6 | + | 1.17833e7i | 0.406735 | + | 0.510029i | ||||
\(883\) | −2.55270e7 | − | 2.36856e7i | −1.10179 | − | 1.02231i | −0.999621 | − | 0.0275439i | \(-0.991231\pi\) |
−0.102169 | − | 0.994767i | \(-0.532578\pi\) | |||||||
\(884\) | 13042.3 | + | 4023.01i | 0.000561336 | + | 0.000173149i | ||||
\(885\) | −2.64527e7 | + | 6.74005e7i | −1.13530 | + | 2.89271i | ||||
\(886\) | 5.08136e7 | + | 3.46441e7i | 2.17468 | + | 1.48267i | ||||
\(887\) | −1.23180e7 | + | 5.93203e6i | −0.525691 | + | 0.253160i | −0.677855 | − | 0.735196i | \(-0.737090\pi\) |
0.152164 | + | 0.988355i | \(0.451376\pi\) | |||||||
\(888\) | −9.42847e6 | + | 8.74835e6i | −0.401244 | + | 0.372300i | ||||
\(889\) | 744831. | + | 112265.i | 0.0316085 | + | 0.00476421i | ||||
\(890\) | 1.37344e6 | + | 1.83272e7i | 0.0581210 | + | 0.775571i | ||||
\(891\) | 769056. | + | 1.95952e6i | 0.0324537 | + | 0.0826906i | ||||
\(892\) | 5.75307e6 | − | 2.52058e7i | 0.242096 | − | 1.06069i | ||||
\(893\) | −4.27389e6 | + | 5.70311e7i | −0.179347 | + | 2.39322i | ||||
\(894\) | −1.84224e7 | + | 5.68255e6i | −0.770906 | + | 0.237793i | ||||
\(895\) | 2.54264e7 | + | 1.22447e7i | 1.06103 | + | 0.510964i | ||||
\(896\) | 1.73870e6 | + | 3.01151e6i | 0.0723525 | + | 0.125318i | ||||
\(897\) | −1.12198e6 | + | 1.94332e6i | −0.0465589 | + | 0.0806424i | ||||
\(898\) | −5.37078e7 | + | 3.66174e7i | −2.22252 | + | 1.51529i | ||||
\(899\) | 3.48575e6 | + | 1.52721e7i | 0.143846 | + | 0.630229i | ||||
\(900\) | −1.36470e7 | + | 2.05695e6i | −0.561603 | + | 0.0846481i | ||||
\(901\) | 79654.8 | − | 99884.0i | 0.00326889 | − | 0.00409906i | ||||
\(902\) | 2.91273e6 | 0.119202 | ||||||||
\(903\) | −583108. | − | 3.61753e6i | −0.0237974 | − | 0.147636i | ||||
\(904\) | −2.11183e7 | −0.859485 | ||||||||
\(905\) | −1.83448e7 | + | 2.30037e7i | −0.744547 | + | 0.933633i | ||||
\(906\) | −2.17724e7 | + | 3.28166e6i | −0.881222 | + | 0.132823i | ||||
\(907\) | −6.69581e6 | − | 2.93362e7i | −0.270262 | − | 1.18409i | −0.909705 | − | 0.415256i | \(-0.863692\pi\) |
0.639443 | − | 0.768839i | \(-0.279165\pi\) | |||||||
\(908\) | −3.71767e7 | + | 2.53466e7i | −1.49643 | + | 1.02025i | ||||
\(909\) | 3.14502e6 | − | 5.44734e6i | 0.126245 | − | 0.218663i | ||||
\(910\) | 151217. | + | 261916.i | 0.00605337 | + | 0.0104847i | ||||
\(911\) | −1.38667e7 | − | 6.67787e6i | −0.553578 | − | 0.266589i | 0.136113 | − | 0.990693i | \(-0.456539\pi\) |
−0.689690 | + | 0.724104i | \(0.742253\pi\) | |||||||
\(912\) | −1.92995e7 | + | 5.95312e6i | −0.768351 | + | 0.237005i | ||||
\(913\) | −90794.2 | + | 1.21156e6i | −0.00360480 | + | 0.0481027i | ||||
\(914\) | −1.06196e7 | + | 4.65274e7i | −0.420477 | + | 1.84223i | ||||
\(915\) | 1.75876e7 | + | 4.48125e7i | 0.694471 | + | 1.76948i | ||||
\(916\) | −128689. | − | 1.71723e6i | −0.00506760 | − | 0.0676224i | ||||
\(917\) | −5.51677e6 | − | 831519.i | −0.216651 | − | 0.0326549i | ||||
\(918\) | 185651. | − | 172259.i | 0.00727093 | − | 0.00674643i | ||||
\(919\) | −2.99404e7 | + | 1.44185e7i | −1.16941 | + | 0.563160i | −0.914810 | − | 0.403885i | \(-0.867660\pi\) |
−0.254604 | + | 0.967045i | \(0.581945\pi\) | |||||||
\(920\) | 3.24957e7 | + | 2.21552e7i | 1.26577 | + | 0.862990i | ||||
\(921\) | 1.91032e7 | − | 4.86742e7i | 0.742091 | − | 1.89082i | ||||
\(922\) | 2.65380e7 | + | 8.18589e6i | 1.02811 | + | 0.317131i | ||||
\(923\) | 1.37866e6 | + | 1.27921e6i | 0.0532664 | + | 0.0494240i | ||||
\(924\) | 242826. | + | 304494.i | 0.00935653 | + | 0.0117327i | ||||
\(925\) | −1.11555e7 | − | 1.39886e7i | −0.428682 | − | 0.537550i | ||||
\(926\) | 4.09829e7 | + | 3.80265e7i | 1.57063 | + | 1.45733i | ||||
\(927\) | 3.51230e6 | + | 1.08340e6i | 0.134243 | + | 0.0414085i | ||||
\(928\) | 8.62152e6 | − | 2.19673e7i | 0.328635 | − | 0.837349i | ||||
\(929\) | 1.13949e7 | + | 7.76894e6i | 0.433185 | + | 0.295340i | 0.760213 | − | 0.649674i | \(-0.225095\pi\) |
−0.327028 | + | 0.945015i | \(0.606047\pi\) | |||||||
\(930\) | −5.71762e7 | + | 2.75346e7i | −2.16774 | + | 1.04393i | ||||
\(931\) | 2.99436e7 | − | 2.77836e7i | 1.13222 | − | 1.05055i | ||||
\(932\) | 5.61120e7 | + | 8.45753e6i | 2.11600 | + | 0.318936i | ||||
\(933\) | −3.11715e6 | − | 4.15954e7i | −0.117234 | − | 1.56438i | ||||
\(934\) | −1.23602e7 | − | 3.14934e7i | −0.463618 | − | 1.18128i | ||||
\(935\) | −5533.24 | + | 24242.7i | −0.000206991 | + | 0.000906885i | ||||
\(936\) | 24101.3 | − | 321610.i | 0.000899190 | − | 0.0119989i | ||||
\(937\) | 3.27375e7 | − | 1.00982e7i | 1.21814 | − | 0.375746i | 0.381947 | − | 0.924184i | \(-0.375254\pi\) |
0.836191 | + | 0.548438i | \(0.184777\pi\) | |||||||
\(938\) | −2.82395e6 | − | 1.35994e6i | −0.104797 | − | 0.0504678i | ||||
\(939\) | 927242. | + | 1.60603e6i | 0.0343186 | + | 0.0594415i | ||||
\(940\) | 4.06312e7 | − | 7.03753e7i | 1.49982 | − | 2.59777i | ||||
\(941\) | −1.40229e7 | + | 9.56064e6i | −0.516254 | + | 0.351976i | −0.793251 | − | 0.608895i | \(-0.791613\pi\) |
0.276997 | + | 0.960871i | \(0.410661\pi\) | |||||||
\(942\) | 6.06326e6 | + | 2.65649e7i | 0.222627 | + | 0.975395i | ||||
\(943\) | 5.06941e7 | − | 7.64090e6i | 1.85643 | − | 0.279811i | ||||
\(944\) | 1.36557e7 | − | 1.71237e7i | 0.498751 | − | 0.625414i | ||||
\(945\) | 3.27951e6 | 0.119462 | ||||||||
\(946\) | 484900. | + | 3.00826e6i | 0.0176167 | + | 0.109292i | ||||
\(947\) | −4.52362e7 | −1.63912 | −0.819561 | − | 0.572993i | \(-0.805782\pi\) | ||||
−0.819561 | + | 0.572993i | \(0.805782\pi\) | |||||||
\(948\) | 3.36831e7 | − | 4.22373e7i | 1.21728 | − | 1.52642i | ||||
\(949\) | −47088.1 | + | 7097.38i | −0.00169725 | + | 0.000255819i | ||||
\(950\) | 1.42428e7 | + | 6.24018e7i | 0.512019 | + | 2.24330i | ||||
\(951\) | 1.47198e7 | − | 1.00358e7i | 0.527778 | − | 0.359833i | ||||
\(952\) | 10303.3 | − | 17845.8i | 0.000368454 | − | 0.000638181i | ||||
\(953\) | −6.46517e6 | − | 1.11980e7i | −0.230594 | − | 0.399400i | 0.727389 | − | 0.686225i | \(-0.240733\pi\) |
−0.957983 | + | 0.286825i | \(0.907400\pi\) | |||||||
\(954\) | −9.41698e6 | − | 4.53498e6i | −0.334997 | − | 0.161326i | ||||
\(955\) | −3.21356e7 | + | 9.91252e6i | −1.14019 | + | 0.351703i | ||||
\(956\) | 3.54780e6 | − | 4.73421e7i | 0.125549 | − | 1.67534i | ||||
\(957\) | 373282. | − | 1.63545e6i | 0.0131752 | − | 0.0577243i | ||||
\(958\) | −2.26166e7 | − | 5.76261e7i | −0.796183 | − | 2.02864i | ||||
\(959\) | 87461.5 | + | 1.16709e6i | 0.00307093 | + | 0.0409788i | ||||
\(960\) | 7.43530e7 | + | 1.12069e7i | 2.60388 | + | 0.392471i | ||||
\(961\) | 2.80140e6 | − | 2.59932e6i | 0.0978515 | − | 0.0907929i | ||||
\(962\) | 1.30426e6 | − | 628099.i | 0.0454388 | − | 0.0218822i | ||||
\(963\) | −1.67038e7 | − | 1.13884e7i | −0.580428 | − | 0.395729i | ||||
\(964\) | −1.17692e7 | + | 2.99876e7i | −0.407902 | + | 1.03932i | ||||
\(965\) | −4.84645e7 | − | 1.49493e7i | −1.67535 | − | 0.516777i | ||||
\(966\) | 8.59861e6 | + | 7.97835e6i | 0.296473 | + | 0.275087i | ||||
\(967\) | 281003. | + | 352367.i | 0.00966374 | + | 0.0121179i | 0.786640 | − | 0.617412i | \(-0.211819\pi\) |
−0.776976 | + | 0.629530i | \(0.783247\pi\) | |||||||
\(968\) | 1.13925e7 | + | 1.42858e7i | 0.390780 | + | 0.490022i | ||||
\(969\) | 375343. | + | 348268.i | 0.0128416 | + | 0.0119153i | ||||
\(970\) | 4.98918e7 | + | 1.53896e7i | 1.70255 | + | 0.525167i | ||||
\(971\) | −1.56621e7 | + | 3.99064e7i | −0.533093 | + | 1.35830i | 0.370072 | + | 0.929003i | \(0.379333\pi\) |
−0.903165 | + | 0.429295i | \(0.858762\pi\) | |||||||
\(972\) | −2.74718e7 | − | 1.87299e7i | −0.932655 | − | 0.635874i | ||||
\(973\) | −1.28627e6 | + | 619433.i | −0.0435561 | + | 0.0209755i | ||||
\(974\) | 2.09513e7 | − | 1.94400e7i | 0.707642 | − | 0.656596i | ||||
\(975\) | 1.48197e6 | + | 223371.i | 0.0499261 | + | 0.00752515i | ||||
\(976\) | −1.08822e6 | − | 1.45213e7i | −0.0365672 | − | 0.487956i | ||||
\(977\) | −8.75011e6 | − | 2.22949e7i | −0.293276 | − | 0.747256i | −0.999239 | − | 0.0390068i | \(-0.987581\pi\) |
0.705963 | − | 0.708249i | \(-0.250515\pi\) | |||||||
\(978\) | −444569. | + | 1.94778e6i | −0.0148625 | + | 0.0651169i | ||||
\(979\) | 57494.7 | − | 767214.i | 0.00191722 | − | 0.0255835i | ||||
\(980\) | −5.54620e7 | + | 1.71078e7i | −1.84472 | + | 0.569021i | ||||
\(981\) | 9.17051e6 | + | 4.41628e6i | 0.304243 | + | 0.146516i | ||||
\(982\) | 2.35119e7 | + | 4.07238e7i | 0.778053 | + | 1.34763i | ||||
\(983\) | −1.50440e7 | + | 2.60570e7i | −0.496570 | + | 0.860084i | −0.999992 | − | 0.00395618i | \(-0.998741\pi\) |
0.503422 | + | 0.864041i | \(0.332074\pi\) | |||||||
\(984\) | −2.03372e7 | + | 1.38656e7i | −0.669580 | + | 0.456512i | ||||
\(985\) | 586047. | + | 2.56764e6i | 0.0192461 | + | 0.0843225i | ||||
\(986\) | −303873. | + | 45801.4i | −0.00995404 | + | 0.00150033i | ||||
\(987\) | 4.36445e6 | − | 5.47285e6i | 0.142606 | − | 0.178822i | ||||
\(988\) | −3.02639e6 | −0.0986353 | ||||||||
\(989\) | 1.63308e7 | + | 5.10846e7i | 0.530906 | + | 1.66073i | ||||
\(990\) | 2.03436e6 | 0.0659690 | ||||||||
\(991\) | −2.12340e7 | + | 2.66266e7i | −0.686828 | + | 0.861255i | −0.995963 | − | 0.0897631i | \(-0.971389\pi\) |
0.309135 | + | 0.951018i | \(0.399960\pi\) | |||||||
\(992\) | 3.69545e7 | − | 5.56999e6i | 1.19231 | − | 0.179711i | ||||
\(993\) | −1.09675e7 | − | 4.80516e7i | −0.352966 | − | 1.54645i | ||||
\(994\) | 8.12284e6 | − | 5.53806e6i | 0.260761 | − | 0.177784i | ||||
\(995\) | 3.58587e6 | − | 6.21092e6i | 0.114825 | − | 0.198883i | ||||
\(996\) | −1.77738e7 | − | 3.07851e7i | −0.567717 | − | 0.983314i | ||||
\(997\) | −1.35158e7 | − | 6.50886e6i | −0.430629 | − | 0.207380i | 0.205997 | − | 0.978553i | \(-0.433956\pi\) |
−0.636626 | + | 0.771172i | \(0.719671\pi\) | |||||||
\(998\) | 6.68260e7 | − | 2.06131e7i | 2.12383 | − | 0.655114i | ||||
\(999\) | 1.17308e6 | − | 1.56537e7i | 0.0371891 | − | 0.496253i |
(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 | 43.6.g.a.24.3 | yes | 204 | |
43.9 | even | 21 | inner | 43.6.g.a.9.3 | ✓ | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.6.g.a.9.3 | ✓ | 204 | 43.9 | even | 21 | inner | |
43.6.g.a.24.3 | yes | 204 | 1.1 | even | 1 | trivial |