Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,7,Mod(2,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("27.2");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.f (of order \(18\), degree \(6\), 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: | \(6.21146025774\) |
Analytic rank: | \(0\) |
Dimension: | \(102\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 2.5 | ||
Character | \(\chi\) | \(=\) | 27.2 |
Dual form | 27.7.f.a.14.5 |
$q$-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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −9.42516 | − | 1.66191i | −1.17814 | − | 0.207739i | −0.449915 | − | 0.893071i | \(-0.648546\pi\) |
−0.728230 | + | 0.685333i | \(0.759657\pi\) | |||||||
\(3\) | −26.9402 | − | 1.79573i | −0.997786 | − | 0.0665087i | ||||
\(4\) | 25.9314 | + | 9.43824i | 0.405178 | + | 0.147473i | ||||
\(5\) | −132.788 | − | 158.250i | −1.06230 | − | 1.26600i | −0.962583 | − | 0.270987i | \(-0.912650\pi\) |
−0.0997193 | − | 0.995016i | \(-0.531794\pi\) | |||||||
\(6\) | 250.932 | + | 61.6973i | 1.16172 | + | 0.285636i | ||||
\(7\) | −462.855 | + | 168.465i | −1.34943 | + | 0.491153i | −0.912770 | − | 0.408473i | \(-0.866061\pi\) |
−0.436661 | + | 0.899626i | \(0.643839\pi\) | |||||||
\(8\) | 301.732 | + | 174.205i | 0.589321 | + | 0.340245i | ||||
\(9\) | 722.551 | + | 96.7550i | 0.991153 | + | 0.132723i | ||||
\(10\) | 988.548 | + | 1712.22i | 0.988548 | + | 1.71222i | ||||
\(11\) | 867.186 | − | 1033.47i | 0.651530 | − | 0.776463i | −0.334614 | − | 0.942355i | \(-0.608606\pi\) |
0.986144 | + | 0.165892i | \(0.0530503\pi\) | |||||||
\(12\) | −681.648 | − | 300.834i | −0.394472 | − | 0.174094i | ||||
\(13\) | 162.872 | + | 923.694i | 0.0741339 | + | 0.420434i | 0.999177 | + | 0.0405711i | \(0.0129177\pi\) |
−0.925043 | + | 0.379863i | \(0.875971\pi\) | |||||||
\(14\) | 4642.46 | − | 818.590i | 1.69186 | − | 0.298320i | ||||
\(15\) | 3293.16 | + | 4501.75i | 0.975750 | + | 1.33385i | ||||
\(16\) | −3907.29 | − | 3278.60i | −0.953928 | − | 0.800440i | ||||
\(17\) | −5293.41 | + | 3056.15i | −1.07743 | + | 0.622054i | −0.930202 | − | 0.367049i | \(-0.880368\pi\) |
−0.147227 | + | 0.989103i | \(0.547035\pi\) | |||||||
\(18\) | −6649.36 | − | 2112.75i | −1.14015 | − | 0.362268i | ||||
\(19\) | 59.2073 | − | 102.550i | 0.00863206 | − | 0.0149512i | −0.861677 | − | 0.507457i | \(-0.830586\pi\) |
0.870309 | + | 0.492506i | \(0.163919\pi\) | |||||||
\(20\) | −1949.76 | − | 5356.93i | −0.243720 | − | 0.669616i | ||||
\(21\) | 12771.9 | − | 3707.33i | 1.37911 | − | 0.400316i | ||||
\(22\) | −9890.91 | + | 8299.46i | −0.928898 | + | 0.779438i | ||||
\(23\) | 7053.70 | − | 19379.9i | 0.579741 | − | 1.59282i | −0.208878 | − | 0.977942i | \(-0.566981\pi\) |
0.788619 | − | 0.614883i | \(-0.210797\pi\) | |||||||
\(24\) | −7815.91 | − | 5234.96i | −0.565387 | − | 0.378686i | ||||
\(25\) | −4697.32 | + | 26639.8i | −0.300628 | + | 1.70495i | ||||
\(26\) | − | 8976.64i | − | 0.510733i | ||||||
\(27\) | −19291.9 | − | 3904.11i | −0.980131 | − | 0.198349i | ||||
\(28\) | −13592.5 | −0.619191 | ||||||||
\(29\) | 1904.97 | + | 335.898i | 0.0781078 | + | 0.0137725i | 0.212566 | − | 0.977147i | \(-0.431818\pi\) |
−0.134458 | + | 0.990919i | \(0.542929\pi\) | |||||||
\(30\) | −23557.0 | − | 47902.6i | −0.872482 | − | 1.77417i | ||||
\(31\) | 9740.86 | + | 3545.38i | 0.326973 | + | 0.119008i | 0.500291 | − | 0.865858i | \(-0.333226\pi\) |
−0.173318 | + | 0.984866i | \(0.555449\pi\) | |||||||
\(32\) | 17045.0 | + | 20313.4i | 0.520172 | + | 0.619917i | ||||
\(33\) | −25218.0 | + | 26284.7i | −0.701729 | + | 0.731412i | ||||
\(34\) | 54970.3 | − | 20007.5i | 1.39859 | − | 0.509046i | ||||
\(35\) | 88121.2 | + | 50876.8i | 2.05531 | + | 1.18663i | ||||
\(36\) | 17823.5 | + | 9328.60i | 0.382020 | + | 0.199944i | ||||
\(37\) | 25963.3 | + | 44969.7i | 0.512571 | + | 0.887799i | 0.999894 | + | 0.0145772i | \(0.00464023\pi\) |
−0.487323 | + | 0.873222i | \(0.662026\pi\) | |||||||
\(38\) | −728.467 | + | 868.153i | −0.0132758 | + | 0.0158214i | ||||
\(39\) | −2729.10 | − | 25177.0i | −0.0460072 | − | 0.424434i | ||||
\(40\) | −12498.3 | − | 70881.6i | −0.195287 | − | 1.10752i | ||||
\(41\) | −56718.7 | + | 10001.0i | −0.822952 | + | 0.145109i | −0.569240 | − | 0.822171i | \(-0.692763\pi\) |
−0.253712 | + | 0.967280i | \(0.581651\pi\) | |||||||
\(42\) | −126539. | + | 13716.4i | −1.70795 | + | 0.185136i | ||||
\(43\) | 40875.2 | + | 34298.4i | 0.514108 | + | 0.431388i | 0.862572 | − | 0.505934i | \(-0.168852\pi\) |
−0.348464 | + | 0.937322i | \(0.613297\pi\) | |||||||
\(44\) | 32241.5 | − | 18614.6i | 0.378492 | − | 0.218523i | ||||
\(45\) | −80634.4 | − | 127192.i | −0.884877 | − | 1.39579i | ||||
\(46\) | −98689.9 | + | 170936.i | −1.01391 | + | 1.75614i | ||||
\(47\) | 24295.3 | + | 66750.9i | 0.234007 | + | 0.642929i | 1.00000 | 8.02683e-5i | \(2.55502e-5\pi\) | |
−0.765993 | + | 0.642849i | \(0.777752\pi\) | |||||||
\(48\) | 99375.7 | + | 95342.7i | 0.898579 | + | 0.862112i | ||||
\(49\) | 95729.8 | − | 80326.8i | 0.813690 | − | 0.682767i | ||||
\(50\) | 88545.9 | − | 243278.i | 0.708367 | − | 1.94622i | ||||
\(51\) | 148094. | − | 72827.8i | 1.11642 | − | 0.549018i | ||||
\(52\) | −4494.55 | + | 25489.9i | −0.0319651 | + | 0.181283i | ||||
\(53\) | 210667.i | 1.41504i | 0.706692 | + | 0.707521i | \(0.250187\pi\) | ||||
−0.706692 | + | 0.707521i | \(0.749813\pi\) | |||||||
\(54\) | 175341. | + | 68858.3i | 1.11353 | + | 0.437295i | ||||
\(55\) | −278699. | −1.67513 | ||||||||
\(56\) | −169006. | − | 29800.3i | −0.962361 | − | 0.169690i | ||||
\(57\) | −1779.21 | + | 2656.40i | −0.00960733 | + | 0.0143440i | ||||
\(58\) | −17396.4 | − | 6331.78i | −0.0891613 | − | 0.0324520i | ||||
\(59\) | −132806. | − | 158271.i | −0.646636 | − | 0.770631i | 0.338766 | − | 0.940870i | \(-0.389990\pi\) |
−0.985403 | + | 0.170239i | \(0.945546\pi\) | |||||||
\(60\) | 42907.4 | + | 147818.i | 0.198645 | + | 0.684343i | ||||
\(61\) | 279772. | − | 101829.i | 1.23258 | − | 0.448622i | 0.358100 | − | 0.933683i | \(-0.383425\pi\) |
0.874480 | + | 0.485061i | \(0.161203\pi\) | |||||||
\(62\) | −85917.0 | − | 49604.2i | −0.360499 | − | 0.208134i | ||||
\(63\) | −350736. | + | 76941.3i | −1.40268 | + | 0.307707i | ||||
\(64\) | 36326.5 | + | 62919.3i | 0.138574 | + | 0.240018i | ||||
\(65\) | 124547. | − | 148430.i | 0.453518 | − | 0.540482i | ||||
\(66\) | 281367. | − | 205828.i | 0.978681 | − | 0.715933i | ||||
\(67\) | −11379.9 | − | 64538.6i | −0.0378368 | − | 0.214583i | 0.960027 | − | 0.279906i | \(-0.0903033\pi\) |
−0.997864 | + | 0.0653230i | \(0.979192\pi\) | |||||||
\(68\) | −166110. | + | 29289.7i | −0.528286 | + | 0.0931511i | ||||
\(69\) | −224829. | + | 509432.i | −0.684394 | + | 1.55074i | ||||
\(70\) | −746004. | − | 625971.i | −2.17494 | − | 1.82499i | ||||
\(71\) | 19112.3 | − | 11034.5i | 0.0533995 | − | 0.0308302i | −0.473063 | − | 0.881029i | \(-0.656852\pi\) |
0.526462 | + | 0.850199i | \(0.323518\pi\) | |||||||
\(72\) | 201162. | + | 155066.i | 0.538949 | + | 0.415451i | ||||
\(73\) | 2485.07 | − | 4304.27i | 0.00638807 | − | 0.0110645i | −0.862814 | − | 0.505522i | \(-0.831300\pi\) |
0.869202 | + | 0.494458i | \(0.164633\pi\) | |||||||
\(74\) | −169972. | − | 466995.i | −0.419453 | − | 1.15244i | ||||
\(75\) | 174385. | − | 709247.i | 0.413356 | − | 1.68118i | ||||
\(76\) | 2503.22 | − | 2100.45i | 0.00570240 | − | 0.00478488i | ||||
\(77\) | −227277. | + | 624439.i | −0.497833 | + | 1.36778i | ||||
\(78\) | −16119.7 | + | 241833.i | −0.0339682 | + | 0.509602i | ||||
\(79\) | −14021.5 | + | 79519.8i | −0.0284389 | + | 0.161285i | −0.995720 | − | 0.0924225i | \(-0.970539\pi\) |
0.967281 | + | 0.253708i | \(0.0816501\pi\) | |||||||
\(80\) | 1.05369e6i | 2.05798i | ||||||||
\(81\) | 512718. | + | 139821.i | 0.964769 | + | 0.263097i | ||||
\(82\) | 551204. | 0.999702 | ||||||||
\(83\) | 72010.5 | + | 12697.4i | 0.125939 | + | 0.0222065i | 0.236263 | − | 0.971689i | \(-0.424077\pi\) |
−0.110323 | + | 0.993896i | \(0.535189\pi\) | |||||||
\(84\) | 366184. | + | 24408.5i | 0.617820 | + | 0.0411816i | ||||
\(85\) | 1.18654e6 | + | 431864.i | 1.93208 | + | 0.703219i | ||||
\(86\) | −328254. | − | 391198.i | −0.516078 | − | 0.615038i | ||||
\(87\) | −50717.2 | − | 12470.0i | −0.0770189 | − | 0.0189369i | ||||
\(88\) | 441695. | − | 160764.i | 0.648148 | − | 0.235907i | ||||
\(89\) | 118458. | + | 68392.0i | 0.168034 | + | 0.0970142i | 0.581658 | − | 0.813433i | \(-0.302404\pi\) |
−0.413625 | + | 0.910447i | \(0.635737\pi\) | |||||||
\(90\) | 548611. | + | 1.33281e6i | 0.752553 | + | 1.82827i | ||||
\(91\) | −230997. | − | 400098.i | −0.306536 | − | 0.530936i | ||||
\(92\) | 365824. | − | 435972.i | 0.469796 | − | 0.559881i | ||||
\(93\) | −256054. | − | 113005.i | −0.318334 | − | 0.140492i | ||||
\(94\) | −118053. | − | 669514.i | −0.142133 | − | 0.806076i | ||||
\(95\) | −24090.6 | + | 4247.82i | −0.0280981 | + | 0.00495445i | ||||
\(96\) | −422719. | − | 577857.i | −0.477791 | − | 0.653141i | ||||
\(97\) | −148727. | − | 124797.i | −0.162958 | − | 0.136738i | 0.557663 | − | 0.830068i | \(-0.311698\pi\) |
−0.720620 | + | 0.693330i | \(0.756143\pi\) | |||||||
\(98\) | −1.03576e6 | + | 597999.i | −1.10048 | + | 0.635363i | ||||
\(99\) | 726580. | − | 662832.i | 0.748821 | − | 0.683121i | ||||
\(100\) | −373241. | + | 646472.i | −0.373241 | + | 0.646472i | ||||
\(101\) | 562443. | + | 1.54530e6i | 0.545901 | + | 1.49985i | 0.839196 | + | 0.543829i | \(0.183026\pi\) |
−0.293295 | + | 0.956022i | \(0.594752\pi\) | |||||||
\(102\) | −1.51684e6 | + | 440296.i | −1.42935 | + | 0.414900i | ||||
\(103\) | −433960. | + | 364136.i | −0.397135 | + | 0.333236i | −0.819385 | − | 0.573244i | \(-0.805685\pi\) |
0.422250 | + | 0.906479i | \(0.361240\pi\) | |||||||
\(104\) | −111769. | + | 307082.i | −0.0993618 | + | 0.272994i | ||||
\(105\) | −2.28264e6 | − | 1.52887e6i | −1.97183 | − | 1.32070i | ||||
\(106\) | 350110. | − | 1.98557e6i | 0.293959 | − | 1.66713i | ||||
\(107\) | − | 1.40996e6i | − | 1.15095i | −0.817819 | − | 0.575475i | \(-0.804817\pi\) | ||
0.817819 | − | 0.575475i | \(-0.195183\pi\) | |||||||
\(108\) | −463418. | − | 283321.i | −0.367876 | − | 0.224909i | ||||
\(109\) | −635387. | −0.490635 | −0.245318 | − | 0.969443i | \(-0.578892\pi\) | ||||
−0.245318 | + | 0.969443i | \(0.578892\pi\) | |||||||
\(110\) | 2.62678e6 | + | 463173.i | 1.97354 | + | 0.347989i | ||||
\(111\) | −618702. | − | 1.25812e6i | −0.452390 | − | 0.919924i | ||||
\(112\) | 2.36084e6 | + | 859275.i | 1.68040 | + | 0.611615i | ||||
\(113\) | −1.15293e6 | − | 1.37401e6i | −0.799037 | − | 0.952255i | 0.200587 | − | 0.979676i | \(-0.435715\pi\) |
−0.999624 | + | 0.0274205i | \(0.991271\pi\) | |||||||
\(114\) | 21184.0 | − | 22080.1i | 0.0142986 | − | 0.0149034i | ||||
\(115\) | −4.00352e6 | + | 1.45716e6i | −2.63238 | + | 0.958108i | ||||
\(116\) | 46228.2 | + | 26689.9i | 0.0296165 | + | 0.0170991i | ||||
\(117\) | 28311.4 | + | 683174.i | 0.0176768 | + | 0.426554i | ||||
\(118\) | 988680. | + | 1.71244e6i | 0.601741 | + | 1.04225i | ||||
\(119\) | 1.93523e6 | − | 2.30631e6i | 1.14839 | − | 1.36860i | ||||
\(120\) | 209423. | + | 1.93201e6i | 0.121194 | + | 1.11806i | ||||
\(121\) | −8424.90 | − | 47780.0i | −0.00475564 | − | 0.0269706i | ||||
\(122\) | −2.80613e6 | + | 494796.i | −1.54535 | + | 0.272488i | ||||
\(123\) | 1.54597e6 | − | 167578.i | 0.830781 | − | 0.0900539i | ||||
\(124\) | 219132. | + | 183873.i | 0.114932 | + | 0.0964391i | ||||
\(125\) | 2.04412e6 | − | 1.18017e6i | 1.04659 | − | 0.604249i | ||||
\(126\) | 3.43361e6 | − | 142292.i | 1.71648 | − | 0.0711328i | ||||
\(127\) | −886641. | + | 1.53571e6i | −0.432849 | + | 0.749717i | −0.997117 | − | 0.0758748i | \(-0.975825\pi\) |
0.564268 | + | 0.825592i | \(0.309158\pi\) | |||||||
\(128\) | −818262. | − | 2.24816e6i | −0.390178 | − | 1.07200i | ||||
\(129\) | −1.03960e6 | − | 997406.i | −0.484279 | − | 0.464625i | ||||
\(130\) | −1.42056e6 | + | 1.19199e6i | −0.646589 | + | 0.542553i | ||||
\(131\) | −87440.9 | + | 240242.i | −0.0388956 | + | 0.106865i | −0.957620 | − | 0.288034i | \(-0.906998\pi\) |
0.918724 | + | 0.394899i | \(0.129220\pi\) | |||||||
\(132\) | −902020. | + | 443585.i | −0.392188 | + | 0.192866i | ||||
\(133\) | −10128.3 | + | 57440.2i | −0.00430506 | + | 0.0244152i | ||||
\(134\) | 627199.i | 0.260670i | ||||||||
\(135\) | 1.94391e6 | + | 3.57137e6i | 0.790085 | + | 1.45156i | ||||
\(136\) | −2.12959e6 | −0.846602 | ||||||||
\(137\) | 95387.6 | + | 16819.4i | 0.0370963 | + | 0.00654108i | 0.192166 | − | 0.981363i | \(-0.438449\pi\) |
−0.155069 | + | 0.987904i | \(0.549560\pi\) | |||||||
\(138\) | 2.96568e6 | − | 4.42783e6i | 1.12846 | − | 1.68482i | ||||
\(139\) | 3.32992e6 | + | 1.21199e6i | 1.23991 | + | 0.451289i | 0.876980 | − | 0.480528i | \(-0.159555\pi\) |
0.362928 | + | 0.931817i | \(0.381777\pi\) | |||||||
\(140\) | 1.80492e6 | + | 2.15101e6i | 0.657768 | + | 0.783897i | ||||
\(141\) | −534655. | − | 1.84191e6i | −0.190729 | − | 0.657069i | ||||
\(142\) | −198474. | + | 72238.8i | −0.0693169 | + | 0.0252293i | ||||
\(143\) | 1.09585e6 | + | 632691.i | 0.374752 | + | 0.216363i | ||||
\(144\) | −2.50599e6 | − | 2.74701e6i | −0.839252 | − | 0.919967i | ||||
\(145\) | −199801. | − | 346066.i | −0.0655381 | − | 0.113515i | ||||
\(146\) | −30575.5 | + | 36438.4i | −0.00982460 | + | 0.0117085i | ||||
\(147\) | −2.72323e6 | + | 1.99212e6i | −0.857298 | + | 0.627138i | ||||
\(148\) | 248828. | + | 1.41117e6i | 0.0767563 | + | 0.435306i | ||||
\(149\) | 4.50565e6 | − | 794468.i | 1.36207 | − | 0.240169i | 0.555601 | − | 0.831449i | \(-0.312488\pi\) |
0.806467 | + | 0.591280i | \(0.201377\pi\) | |||||||
\(150\) | −2.82231e6 | + | 6.39495e6i | −0.836240 | + | 1.89480i | ||||
\(151\) | 1.24649e6 | + | 1.04593e6i | 0.362041 | + | 0.303789i | 0.805604 | − | 0.592455i | \(-0.201841\pi\) |
−0.443562 | + | 0.896244i | \(0.646286\pi\) | |||||||
\(152\) | 35729.5 | − | 20628.4i | 0.0101741 | − | 0.00587403i | ||||
\(153\) | −4.12045e6 | + | 1.69606e6i | −1.15046 | + | 0.473551i | ||||
\(154\) | 3.17988e6 | − | 5.50772e6i | 0.870661 | − | 1.50803i | ||||
\(155\) | −732409. | − | 2.01228e6i | −0.196679 | − | 0.540372i | ||||
\(156\) | 166857. | − | 678631.i | 0.0439512 | − | 0.178756i | ||||
\(157\) | −4.02841e6 | + | 3.38024e6i | −1.04096 | + | 0.873470i | −0.992114 | − | 0.125336i | \(-0.959999\pi\) |
−0.0488467 | + | 0.998806i | \(0.515555\pi\) | |||||||
\(158\) | 264309. | − | 726184.i | 0.0670103 | − | 0.184109i | ||||
\(159\) | 378303. | − | 5.67542e6i | 0.0941126 | − | 1.41191i | ||||
\(160\) | 951241. | − | 5.39475e6i | 0.232237 | − | 1.31708i | ||||
\(161\) | 1.01584e7i | 2.43415i | ||||||||
\(162\) | −4.60008e6 | − | 2.16992e6i | −1.08198 | − | 0.510387i | ||||
\(163\) | 3.25383e6 | 0.751333 | 0.375666 | − | 0.926755i | \(-0.377414\pi\) | ||||
0.375666 | + | 0.926755i | \(0.377414\pi\) | |||||||
\(164\) | −1.56519e6 | − | 275984.i | −0.354841 | − | 0.0625681i | ||||
\(165\) | 7.50822e6 | + | 500470.i | 1.67142 | + | 0.111410i | ||||
\(166\) | −657609. | − | 239350.i | −0.143762 | − | 0.0523250i | ||||
\(167\) | 622389. | + | 741735.i | 0.133633 | + | 0.159257i | 0.828711 | − | 0.559677i | \(-0.189075\pi\) |
−0.695078 | + | 0.718934i | \(0.744630\pi\) | |||||||
\(168\) | 4.49954e6 | + | 1.10632e6i | 0.948944 | + | 0.233320i | ||||
\(169\) | 3.70903e6 | − | 1.34998e6i | 0.768424 | − | 0.279683i | ||||
\(170\) | −1.04656e7 | − | 6.04231e6i | −2.13018 | − | 1.22986i | ||||
\(171\) | 52702.5 | − | 68369.0i | 0.0105401 | − | 0.0136732i | ||||
\(172\) | 736233. | + | 1.27519e6i | 0.144687 | + | 0.250606i | ||||
\(173\) | −5.39396e6 | + | 6.42827e6i | −1.04176 | + | 1.24153i | −0.0720193 | + | 0.997403i | \(0.522944\pi\) |
−0.969744 | + | 0.244122i | \(0.921500\pi\) | |||||||
\(174\) | 457294. | + | 201819.i | 0.0868055 | + | 0.0383102i | ||||
\(175\) | −2.31371e6 | − | 1.31217e7i | −0.431713 | − | 2.44836i | ||||
\(176\) | −6.77669e6 | + | 1.19491e6i | −1.24302 | + | 0.219179i | ||||
\(177\) | 3.29360e6 | + | 4.50235e6i | 0.593951 | + | 0.811932i | ||||
\(178\) | −1.00283e6 | − | 841473.i | −0.177814 | − | 0.149204i | ||||
\(179\) | 5.25825e6 | − | 3.03585e6i | 0.916815 | − | 0.529324i | 0.0341976 | − | 0.999415i | \(-0.489112\pi\) |
0.882618 | + | 0.470092i | \(0.155779\pi\) | |||||||
\(180\) | −890493. | − | 4.05930e6i | −0.152691 | − | 0.696040i | ||||
\(181\) | −4.75293e6 | + | 8.23232e6i | −0.801541 | + | 1.38831i | 0.117061 | + | 0.993125i | \(0.462653\pi\) |
−0.918602 | + | 0.395185i | \(0.870680\pi\) | |||||||
\(182\) | 1.51225e6 | + | 4.15488e6i | 0.250848 | + | 0.689199i | ||||
\(183\) | −7.71998e6 | + | 2.24089e6i | −1.25969 | + | 0.365652i | ||||
\(184\) | 5.50441e6 | − | 4.61875e6i | 0.883604 | − | 0.741431i | ||||
\(185\) | 3.66886e6 | − | 1.00801e7i | 0.579451 | − | 1.59203i | ||||
\(186\) | 2.22555e6 | + | 1.49063e6i | 0.345858 | + | 0.231650i | ||||
\(187\) | −1.43192e6 | + | 8.12085e6i | −0.218975 | + | 1.24187i | ||||
\(188\) | 1.96025e6i | 0.295010i | ||||||||
\(189\) | 9.58707e6 | − | 1.44299e6i | 1.42004 | − | 0.213736i | ||||
\(190\) | 234117. | 0.0341328 | ||||||||
\(191\) | −8.02752e6 | − | 1.41547e6i | −1.15208 | − | 0.203142i | −0.435194 | − | 0.900337i | \(-0.643320\pi\) |
−0.716882 | + | 0.697195i | \(0.754431\pi\) | |||||||
\(192\) | −865657. | − | 1.76029e6i | −0.122304 | − | 0.248703i | ||||
\(193\) | −1.14809e6 | − | 417869.i | −0.159699 | − | 0.0581257i | 0.260934 | − | 0.965357i | \(-0.415970\pi\) |
−0.420633 | + | 0.907231i | \(0.638192\pi\) | |||||||
\(194\) | 1.19437e6 | + | 1.42340e6i | 0.163582 | + | 0.194949i | ||||
\(195\) | −3.62187e6 | + | 3.77508e6i | −0.488461 | + | 0.509122i | ||||
\(196\) | 3.24055e6 | − | 1.17946e6i | 0.430378 | − | 0.156645i | ||||
\(197\) | 4.78394e6 | + | 2.76201e6i | 0.625730 | + | 0.361265i | 0.779096 | − | 0.626904i | \(-0.215678\pi\) |
−0.153367 | + | 0.988169i | \(0.549012\pi\) | |||||||
\(198\) | −7.94970e6 | + | 5.03978e6i | −1.02413 | + | 0.649257i | ||||
\(199\) | −6.74102e6 | − | 1.16758e7i | −0.855394 | − | 1.48159i | −0.876279 | − | 0.481804i | \(-0.839982\pi\) |
0.0208852 | − | 0.999782i | \(-0.493352\pi\) | |||||||
\(200\) | −6.05813e6 | + | 7.21980e6i | −0.757266 | + | 0.902474i | ||||
\(201\) | 190683. | + | 1.75912e6i | 0.0234814 | + | 0.216624i | ||||
\(202\) | −2.73296e6 | − | 1.54994e7i | −0.331574 | − | 1.88045i | ||||
\(203\) | −938313. | + | 165450.i | −0.112166 | + | 0.0197778i | ||||
\(204\) | 4.52764e6 | − | 490781.i | 0.533312 | − | 0.0578092i | ||||
\(205\) | 9.11422e6 | + | 7.64774e6i | 1.05793 | + | 0.887710i | ||||
\(206\) | 4.69530e6 | − | 2.71083e6i | 0.537108 | − | 0.310100i | ||||
\(207\) | 6.97176e6 | − | 1.33205e7i | 0.786016 | − | 1.50179i | ||||
\(208\) | 2.39204e6 | − | 4.14313e6i | 0.265814 | − | 0.460403i | ||||
\(209\) | −54638.9 | − | 150119.i | −0.00598498 | − | 0.0164436i | ||||
\(210\) | 1.89734e7 | + | 1.82034e7i | 2.04874 | + | 1.96560i | ||||
\(211\) | −1.01063e7 | + | 8.48019e6i | −1.07583 | + | 0.902731i | −0.995568 | − | 0.0940424i | \(-0.970021\pi\) |
−0.0802649 | + | 0.996774i | \(0.525577\pi\) | |||||||
\(212\) | −1.98833e6 | + | 5.46289e6i | −0.208680 | + | 0.573343i | ||||
\(213\) | −534703. | + | 262950.i | −0.0553317 | + | 0.0272104i | ||||
\(214\) | −2.34323e6 | + | 1.32891e7i | −0.239097 | + | 1.35599i | ||||
\(215\) | − | 1.10229e7i | − | 1.10913i | ||||||
\(216\) | −5.14088e6 | − | 4.53875e6i | −0.510125 | − | 0.450376i | ||||
\(217\) | −5.10588e6 | −0.499679 | ||||||||
\(218\) | 5.98863e6 | + | 1.05596e6i | 0.578040 | + | 0.101924i | ||||
\(219\) | −74677.6 | + | 111495.i | −0.00710981 | + | 0.0106151i | ||||
\(220\) | −7.22705e6 | − | 2.63043e6i | −0.678724 | − | 0.247035i | ||||
\(221\) | −3.68510e6 | − | 4.39173e6i | −0.341407 | − | 0.406873i | ||||
\(222\) | 3.74049e6 | + | 1.28862e7i | 0.341877 | + | 1.17778i | ||||
\(223\) | 1.68061e7 | − | 6.11692e6i | 1.51549 | − | 0.551592i | 0.555471 | − | 0.831536i | \(-0.312538\pi\) |
0.960016 | + | 0.279944i | \(0.0903158\pi\) | |||||||
\(224\) | −1.13115e7 | − | 6.53069e6i | −1.00641 | − | 0.581052i | ||||
\(225\) | −5.97158e6 | + | 1.87941e7i | −0.524254 | + | 1.64996i | ||||
\(226\) | 8.58306e6 | + | 1.48663e7i | 0.743561 | + | 1.28789i | ||||
\(227\) | −1.98248e6 | + | 2.36263e6i | −0.169485 | + | 0.201985i | −0.844101 | − | 0.536185i | \(-0.819865\pi\) |
0.674615 | + | 0.738169i | \(0.264309\pi\) | |||||||
\(228\) | −71209.1 | + | 52091.4i | −0.00600801 | + | 0.00439503i | ||||
\(229\) | 2.42442e6 | + | 1.37496e7i | 0.201884 | + | 1.14494i | 0.902268 | + | 0.431175i | \(0.141901\pi\) |
−0.700385 | + | 0.713766i | \(0.746988\pi\) | |||||||
\(230\) | 4.01555e7 | − | 7.08050e6i | 3.30036 | − | 0.581943i | ||||
\(231\) | 7.24422e6 | − | 1.64144e7i | 0.587700 | − | 1.33165i | ||||
\(232\) | 516277. | + | 433208.i | 0.0413446 | + | 0.0346922i | ||||
\(233\) | 1.01782e7 | − | 5.87637e6i | 0.804641 | − | 0.464560i | −0.0404506 | − | 0.999182i | \(-0.512879\pi\) |
0.845091 | + | 0.534622i | \(0.179546\pi\) | |||||||
\(234\) | 868534. | − | 6.48608e6i | 0.0677859 | − | 0.506214i | ||||
\(235\) | 7.33722e6 | − | 1.27084e7i | 0.565364 | − | 0.979239i | ||||
\(236\) | −1.95002e6 | − | 5.35765e6i | −0.148356 | − | 0.407604i | ||||
\(237\) | 520538. | − | 2.11710e6i | 0.0391028 | − | 0.159036i | ||||
\(238\) | −2.20727e7 | + | 1.85212e7i | −1.63729 | + | 1.37385i | ||||
\(239\) | −6.77238e6 | + | 1.86070e7i | −0.496075 | + | 1.36296i | 0.398963 | + | 0.916967i | \(0.369370\pi\) |
−0.895038 | + | 0.445989i | \(0.852852\pi\) | |||||||
\(240\) | 1.89214e6 | − | 2.83866e7i | 0.136874 | − | 2.05343i | ||||
\(241\) | −954656. | + | 5.41412e6i | −0.0682018 | + | 0.386791i | 0.931531 | + | 0.363663i | \(0.118474\pi\) |
−0.999732 | + | 0.0231288i | \(0.992637\pi\) | |||||||
\(242\) | 464335.i | 0.0327632i | ||||||||
\(243\) | −1.35617e7 | − | 4.68751e6i | −0.945135 | − | 0.326680i | ||||
\(244\) | 8.21596e6 | 0.565573 | ||||||||
\(245\) | −2.54235e7 | − | 4.48285e6i | −1.72877 | − | 0.304829i | ||||
\(246\) | −1.48495e7 | − | 989815.i | −0.997488 | − | 0.0664888i | ||||
\(247\) | 104368. | + | 37986.9i | 0.00692591 | + | 0.00252082i | ||||
\(248\) | 2.32151e6 | + | 2.76667e6i | 0.152200 | + | 0.181385i | ||||
\(249\) | −1.91718e6 | − | 471382.i | −0.124184 | − | 0.0305334i | ||||
\(250\) | −2.12275e7 | + | 7.72618e6i | −1.35856 | + | 0.494476i | ||||
\(251\) | −5.54881e6 | − | 3.20361e6i | −0.350896 | − | 0.202590i | 0.314184 | − | 0.949362i | \(-0.398269\pi\) |
−0.665080 | + | 0.746772i | \(0.731603\pi\) | |||||||
\(252\) | −9.82125e6 | − | 1.31514e6i | −0.613713 | − | 0.0821808i | ||||
\(253\) | −1.39117e7 | − | 2.40958e7i | −0.859051 | − | 1.48792i | ||||
\(254\) | 1.09089e7 | − | 1.30008e7i | 0.665704 | − | 0.793355i | ||||
\(255\) | −3.11901e7 | − | 1.37652e7i | −1.88103 | − | 0.830162i | ||||
\(256\) | 3.16859e6 | + | 1.79700e7i | 0.188863 | + | 1.07109i | ||||
\(257\) | −1.25273e7 | + | 2.20890e6i | −0.738004 | + | 0.130130i | −0.530000 | − | 0.847998i | \(-0.677808\pi\) |
−0.208004 | + | 0.978128i | \(0.566697\pi\) | |||||||
\(258\) | 8.14076e6 | + | 1.11284e7i | 0.474030 | + | 0.648000i | ||||
\(259\) | −1.95931e7 | − | 1.64405e7i | −1.12772 | − | 0.946273i | ||||
\(260\) | 4.63060e6 | − | 2.67348e6i | 0.263462 | − | 0.152110i | ||||
\(261\) | 1.34394e6 | + | 427019.i | 0.0755889 | + | 0.0240174i | ||||
\(262\) | 1.22341e6 | − | 2.11900e6i | 0.0680247 | − | 0.117822i | ||||
\(263\) | 5.73899e6 | + | 1.57677e7i | 0.315477 | + | 0.866767i | 0.991526 | + | 0.129910i | \(0.0414687\pi\) |
−0.676049 | + | 0.736857i | \(0.736309\pi\) | |||||||
\(264\) | −1.21880e7 | + | 3.53784e6i | −0.662403 | + | 0.192277i | ||||
\(265\) | 3.33382e7 | − | 2.79740e7i | 1.79145 | − | 1.50320i | ||||
\(266\) | 190921. | − | 524551.i | 0.0101440 | − | 0.0278704i | ||||
\(267\) | −3.06848e6 | − | 2.05522e6i | −0.161209 | − | 0.107975i | ||||
\(268\) | 314035. | − | 1.78098e6i | 0.0163145 | − | 0.0925241i | ||||
\(269\) | 2.12720e7i | 1.09283i | 0.837515 | + | 0.546414i | \(0.184007\pi\) | ||||
−0.837515 | + | 0.546414i | \(0.815993\pi\) | |||||||
\(270\) | −1.23863e7 | − | 3.68913e7i | −0.629290 | − | 1.87427i | ||||
\(271\) | 3.86080e7 | 1.93986 | 0.969928 | − | 0.243390i | \(-0.0782595\pi\) | ||||
0.969928 | + | 0.243390i | \(0.0782595\pi\) | |||||||
\(272\) | 3.07028e7 | + | 5.41373e6i | 1.52571 | + | 0.269023i | ||||
\(273\) | 5.50463e6 | + | 1.11935e7i | 0.270545 | + | 0.550148i | ||||
\(274\) | −871091. | − | 317051.i | −0.0423460 | − | 0.0154127i | ||||
\(275\) | 2.34581e7 | + | 2.79562e7i | 1.12796 | + | 1.34425i | ||||
\(276\) | −1.06383e7 | + | 1.10883e7i | −0.505993 | + | 0.527396i | ||||
\(277\) | 5.10597e6 | − | 1.85842e6i | 0.240237 | − | 0.0874390i | −0.219096 | − | 0.975703i | \(-0.570311\pi\) |
0.459333 | + | 0.888264i | \(0.348089\pi\) | |||||||
\(278\) | −2.93708e7 | − | 1.69572e7i | −1.36704 | − | 0.789261i | ||||
\(279\) | 6.69523e6 | + | 3.50419e6i | 0.308285 | + | 0.161352i | ||||
\(280\) | 1.77260e7 | + | 3.07024e7i | 0.807490 | + | 1.39861i | ||||
\(281\) | 9.09776e6 | − | 1.08423e7i | 0.410030 | − | 0.488655i | −0.521021 | − | 0.853544i | \(-0.674449\pi\) |
0.931051 | + | 0.364889i | \(0.118893\pi\) | |||||||
\(282\) | 1.97811e6 | + | 1.82488e7i | 0.0882072 | + | 0.813745i | ||||
\(283\) | 5.04812e6 | + | 2.86293e7i | 0.222726 | + | 1.26314i | 0.866986 | + | 0.498333i | \(0.166054\pi\) |
−0.644260 | + | 0.764807i | \(0.722834\pi\) | |||||||
\(284\) | 599753. | − | 105753.i | 0.0261829 | − | 0.00461675i | ||||
\(285\) | 656633. | − | 71176.9i | 0.0283654 | − | 0.00307471i | ||||
\(286\) | −9.27711e6 | − | 7.78442e6i | −0.396565 | − | 0.332758i | ||||
\(287\) | 2.45677e7 | − | 1.41842e7i | 1.03925 | − | 0.600010i | ||||
\(288\) | 1.03505e7 | + | 1.63267e7i | 0.433293 | + | 0.683472i | ||||
\(289\) | 6.61134e6 | − | 1.14512e7i | 0.273902 | − | 0.474413i | ||||
\(290\) | 1.30803e6 | + | 3.59377e6i | 0.0536318 | + | 0.147352i | ||||
\(291\) | 3.78264e6 | + | 3.62913e6i | 0.153503 | + | 0.147273i | ||||
\(292\) | 105066. | − | 88160.8i | 0.00422001 | − | 0.00354101i | ||||
\(293\) | 2.00959e6 | − | 5.52130e6i | 0.0798922 | − | 0.219502i | −0.893315 | − | 0.449430i | \(-0.851627\pi\) |
0.973208 | + | 0.229928i | \(0.0738492\pi\) | |||||||
\(294\) | 2.89776e7 | − | 1.42503e7i | 1.14030 | − | 0.560765i | ||||
\(295\) | −7.41156e6 | + | 4.20330e7i | −0.288698 | + | 1.63729i | ||||
\(296\) | 1.80918e7i | 0.697598i | ||||||||
\(297\) | −2.07645e7 | + | 1.65521e7i | −0.792596 | + | 0.631806i | ||||
\(298\) | −4.37868e7 | −1.65461 | ||||||||
\(299\) | 1.90499e7 | + | 3.35902e6i | 0.712656 | + | 0.125660i | ||||
\(300\) | 1.12161e7 | − | 1.67459e7i | 0.415410 | − | 0.620217i | ||||
\(301\) | −2.46974e7 | − | 8.98911e6i | −0.905631 | − | 0.329623i | ||||
\(302\) | −1.00101e7 | − | 1.19296e7i | −0.363429 | − | 0.433117i | ||||
\(303\) | −1.23774e7 | − | 4.26407e7i | −0.444939 | − | 1.53284i | ||||
\(304\) | −567561. | + | 206575.i | −0.0202019 | + | 0.00735288i | ||||
\(305\) | −5.32648e7 | − | 3.07524e7i | −1.87733 | − | 1.08388i | ||||
\(306\) | 4.16546e7 | − | 9.13782e6i | 1.45378 | − | 0.318917i | ||||
\(307\) | −1.24038e7 | − | 2.14841e7i | −0.428687 | − | 0.742508i | 0.568070 | − | 0.822980i | \(-0.307690\pi\) |
−0.996757 | + | 0.0804725i | \(0.974357\pi\) | |||||||
\(308\) | −1.17872e7 | + | 1.40475e7i | −0.403421 | + | 0.480779i | ||||
\(309\) | 1.23449e7 | − | 9.03062e6i | 0.418419 | − | 0.306085i | ||||
\(310\) | 3.55885e6 | + | 2.01832e7i | 0.119461 | + | 0.677494i | ||||
\(311\) | −4.37561e7 | + | 7.71538e6i | −1.45465 | + | 0.256493i | −0.844397 | − | 0.535717i | \(-0.820041\pi\) |
−0.610248 | + | 0.792210i | \(0.708930\pi\) | |||||||
\(312\) | 3.56251e6 | − | 8.07214e6i | 0.117298 | − | 0.265782i | ||||
\(313\) | 3.75231e7 | + | 3.14856e7i | 1.22367 | + | 1.02678i | 0.998624 | + | 0.0524373i | \(0.0166990\pi\) |
0.225050 | + | 0.974347i | \(0.427745\pi\) | |||||||
\(314\) | 4.35860e7 | − | 2.51644e7i | 1.40786 | − | 0.812826i | ||||
\(315\) | 5.87495e7 | + | 4.52872e7i | 1.87963 | + | 1.44892i | ||||
\(316\) | −1.11412e6 | + | 1.92972e6i | −0.0353079 | + | 0.0611551i | ||||
\(317\) | −1.53658e6 | − | 4.22173e6i | −0.0482368 | − | 0.132530i | 0.913235 | − | 0.407433i | \(-0.133576\pi\) |
−0.961472 | + | 0.274904i | \(0.911354\pi\) | |||||||
\(318\) | −1.29976e7 | + | 5.28631e7i | −0.404187 | + | 1.64388i | ||||
\(319\) | 1.99911e6 | − | 1.67745e6i | 0.0615835 | − | 0.0516747i | ||||
\(320\) | 5.13329e6 | − | 1.41036e7i | 0.156655 | − | 0.430407i | ||||
\(321\) | −2.53192e6 | + | 3.79847e7i | −0.0765482 | + | 1.14840i | ||||
\(322\) | 1.68823e7 | − | 9.57444e7i | 0.505667 | − | 2.86778i | ||||
\(323\) | 723786.i | 0.0214784i | ||||||||
\(324\) | 1.19758e7 | + | 8.46490e6i | 0.352103 | + | 0.248878i | ||||
\(325\) | −2.53721e7 | −0.739105 | ||||||||
\(326\) | −3.06679e7 | − | 5.40758e6i | −0.885179 | − | 0.156081i | ||||
\(327\) | 1.71175e7 | + | 1.14099e6i | 0.489549 | + | 0.0326315i | ||||
\(328\) | −1.88561e7 | − | 6.86306e6i | −0.534356 | − | 0.194490i | ||||
\(329\) | −2.24904e7 | − | 2.68030e7i | −0.631553 | − | 0.752656i | ||||
\(330\) | −6.99344e7 | − | 1.71950e7i | −1.94603 | − | 0.478476i | ||||
\(331\) | −4.32899e7 | + | 1.57562e7i | −1.19372 | + | 0.434479i | −0.861028 | − | 0.508557i | \(-0.830179\pi\) |
−0.332692 | + | 0.943036i | \(0.607957\pi\) | |||||||
\(332\) | 1.74749e6 | + | 1.00891e6i | 0.0477530 | + | 0.0275702i | ||||
\(333\) | 1.44087e7 | + | 3.50050e7i | 0.390205 | + | 0.947975i | ||||
\(334\) | −4.63342e6 | − | 8.02532e6i | −0.124355 | − | 0.215389i | ||||
\(335\) | −8.70215e6 | + | 1.03708e7i | −0.231469 | + | 0.275854i | ||||
\(336\) | −6.20585e7 | − | 2.73885e7i | −1.63600 | − | 0.722022i | ||||
\(337\) | −7.46362e6 | − | 4.23283e7i | −0.195011 | − | 1.10596i | −0.912402 | − | 0.409294i | \(-0.865775\pi\) |
0.717391 | − | 0.696671i | \(-0.245336\pi\) | |||||||
\(338\) | −3.72018e7 | + | 6.55968e6i | −0.963415 | + | 0.169876i | ||||
\(339\) | 2.85928e7 | + | 3.90864e7i | 0.733935 | + | 1.00329i | ||||
\(340\) | 2.66925e7 | + | 2.23977e7i | 0.679129 | + | 0.569857i | ||||
\(341\) | 1.21112e7 | − | 6.99240e6i | 0.305439 | − | 0.176345i | ||||
\(342\) | −610353. | + | 556802.i | −0.0152582 | + | 0.0139195i | ||||
\(343\) | −1.80212e6 | + | 3.12136e6i | −0.0446581 | + | 0.0773502i | ||||
\(344\) | 6.35842e6 | + | 1.74696e7i | 0.156197 | + | 0.429149i | ||||
\(345\) | 1.10472e8 | − | 3.20670e7i | 2.69027 | − | 0.780910i | ||||
\(346\) | 6.15221e7 | − | 5.16232e7i | 1.48526 | − | 1.24628i | ||||
\(347\) | −6.38668e6 | + | 1.75473e7i | −0.152857 | + | 0.419972i | −0.992359 | − | 0.123385i | \(-0.960625\pi\) |
0.839501 | + | 0.543357i | \(0.182847\pi\) | |||||||
\(348\) | −1.19747e6 | − | 802045.i | −0.0284137 | − | 0.0190310i | ||||
\(349\) | 1.31282e7 | − | 7.44540e7i | 0.308838 | − | 1.75151i | −0.296028 | − | 0.955179i | \(-0.595662\pi\) |
0.604866 | − | 0.796327i | \(-0.293227\pi\) | |||||||
\(350\) | 1.27519e8i | 2.97421i | ||||||||
\(351\) | 464084. | − | 1.84557e7i | 0.0107319 | − | 0.426785i | ||||
\(352\) | 3.57746e7 | 0.820251 | ||||||||
\(353\) | −1.45221e7 | − | 2.56063e6i | −0.330145 | − | 0.0582135i | 0.00611887 | − | 0.999981i | \(-0.498052\pi\) |
−0.336264 | + | 0.941768i | \(0.609163\pi\) | |||||||
\(354\) | −2.35602e7 | − | 4.79090e7i | −0.531091 | − | 1.07996i | ||||
\(355\) | −4.28408e6 | − | 1.55928e6i | −0.0957575 | − | 0.0348529i | ||||
\(356\) | 2.42629e6 | + | 2.89154e6i | 0.0537765 | + | 0.0640883i | ||||
\(357\) | −5.62769e7 | + | 5.86574e7i | −1.23687 | + | 1.28919i | ||||
\(358\) | −5.46051e7 | + | 1.98746e7i | −1.19010 | + | 0.433162i | ||||
\(359\) | 3.78992e7 | + | 2.18811e7i | 0.819119 | + | 0.472919i | 0.850113 | − | 0.526601i | \(-0.176534\pi\) |
−0.0309935 | + | 0.999520i | \(0.509867\pi\) | |||||||
\(360\) | −2.17254e6 | − | 5.24248e7i | −0.0465650 | − | 1.12365i | ||||
\(361\) | 2.35159e7 | + | 4.07308e7i | 0.499851 | + | 0.865767i | ||||
\(362\) | 5.84785e7 | − | 6.96920e7i | 1.23274 | − | 1.46912i | ||||
\(363\) | 141168. | + | 1.30233e6i | 0.00295133 | + | 0.0272271i | ||||
\(364\) | −2.21384e6 | − | 1.25553e7i | −0.0459030 | − | 0.260329i | ||||
\(365\) | −1.01114e6 | + | 178291.i | −0.0207937 | + | 0.00366649i | ||||
\(366\) | 7.64862e7 | − | 8.29085e6i | 1.56006 | − | 0.169105i | ||||
\(367\) | −3.60397e7 | − | 3.02409e7i | −0.729093 | − | 0.611782i | 0.200791 | − | 0.979634i | \(-0.435649\pi\) |
−0.929884 | + | 0.367852i | \(0.880093\pi\) | |||||||
\(368\) | −9.10998e7 | + | 5.25965e7i | −1.82799 | + | 1.05539i | ||||
\(369\) | −4.19498e7 | + | 1.73844e6i | −0.834931 | + | 0.0346004i | ||||
\(370\) | −5.13319e7 | + | 8.89094e7i | −1.01340 | + | 1.75526i | ||||
\(371\) | −3.54902e7 | − | 9.75084e7i | −0.695002 | − | 1.90950i | ||||
\(372\) | −5.57326e6 | − | 5.34709e6i | −0.108263 | − | 0.103870i | ||||
\(373\) | 6.04115e6 | − | 5.06913e6i | 0.116411 | − | 0.0976803i | −0.582724 | − | 0.812670i | \(-0.698013\pi\) |
0.699135 | + | 0.714990i | \(0.253569\pi\) | |||||||
\(374\) | 2.69922e7 | − | 7.41605e7i | 0.515969 | − | 1.41761i | ||||
\(375\) | −5.71883e7 | + | 2.81234e7i | −1.08446 | + | 0.533304i | ||||
\(376\) | −4.29767e6 | + | 2.43733e7i | −0.0808480 | + | 0.458512i | ||||
\(377\) | 1.81432e6i | 0.0338602i | ||||||||
\(378\) | −9.27578e7 | − | 2.33247e6i | −1.71741 | − | 0.0431858i | ||||
\(379\) | −3.61708e7 | −0.664417 | −0.332208 | − | 0.943206i | \(-0.607794\pi\) | ||||
−0.332208 | + | 0.943206i | \(0.607794\pi\) | |||||||
\(380\) | −664794. | − | 117221.i | −0.0121154 | − | 0.00213626i | ||||
\(381\) | 2.66440e7 | − | 3.97801e7i | 0.481753 | − | 0.719269i | ||||
\(382\) | 7.33082e7 | + | 2.66820e7i | 1.31511 | + | 0.478662i | ||||
\(383\) | 6.88915e6 | + | 8.21017e6i | 0.122622 | + | 0.146135i | 0.823863 | − | 0.566789i | \(-0.191815\pi\) |
−0.701241 | + | 0.712925i | \(0.747370\pi\) | |||||||
\(384\) | 1.80071e7 | + | 6.20352e7i | 0.318016 | + | 1.09558i | ||||
\(385\) | 1.28997e8 | − | 4.69512e7i | 2.26047 | − | 0.822743i | ||||
\(386\) | 1.01264e7 | + | 5.84650e6i | 0.176074 | + | 0.101656i | ||||
\(387\) | 2.62159e7 | + | 2.87372e7i | 0.452305 | + | 0.495805i | ||||
\(388\) | −2.67883e6 | − | 4.63987e6i | −0.0458617 | − | 0.0794348i | ||||
\(389\) | −4.48292e7 | + | 5.34253e7i | −0.761574 | + | 0.907608i | −0.997946 | − | 0.0640544i | \(-0.979597\pi\) |
0.236373 | + | 0.971662i | \(0.424041\pi\) | |||||||
\(390\) | 4.04106e7 | − | 2.95615e7i | 0.681242 | − | 0.498348i | ||||
\(391\) | 2.18897e7 | + | 1.24143e8i | 0.366193 | + | 2.07679i | ||||
\(392\) | 4.28781e7 | − | 7.56057e6i | 0.711832 | − | 0.125515i | ||||
\(393\) | 2.78709e6 | − | 6.31515e6i | 0.0459170 | − | 0.104041i | ||||
\(394\) | −4.04992e7 | − | 3.39828e7i | −0.662152 | − | 0.555611i | ||||
\(395\) | 1.44459e7 | − | 8.34035e6i | 0.234398 | − | 0.135330i | ||||
\(396\) | 2.50972e7 | − | 1.03305e7i | 0.404147 | − | 0.166355i | ||||
\(397\) | −574096. | + | 994363.i | −0.00917514 | + | 0.0158918i | −0.870577 | − | 0.492033i | \(-0.836254\pi\) |
0.861401 | + | 0.507925i | \(0.169587\pi\) | |||||||
\(398\) | 4.41311e7 | + | 1.21249e8i | 0.699995 | + | 1.92322i | ||||
\(399\) | 376005. | − | 1.52926e6i | 0.00591936 | − | 0.0240748i | ||||
\(400\) | 1.05695e8 | − | 8.86887e7i | 1.65149 | − | 1.38576i | ||||
\(401\) | −1.79655e7 | + | 4.93597e7i | −0.278615 | + | 0.765489i | 0.718905 | + | 0.695108i | \(0.244644\pi\) |
−0.997520 | + | 0.0703808i | \(0.977579\pi\) | |||||||
\(402\) | 1.12628e6 | − | 1.68969e7i | 0.0173368 | − | 0.260093i | ||||
\(403\) | −1.68833e6 | + | 9.57501e6i | −0.0257954 | + | 0.146293i | ||||
\(404\) | 4.53802e7i | 0.688211i | ||||||||
\(405\) | −4.59560e7 | − | 9.97043e7i | −0.691795 | − | 1.50089i | ||||
\(406\) | 9.11871e6 | 0.136256 | ||||||||
\(407\) | 6.89899e7 | + | 1.21648e7i | 1.02330 | + | 0.180435i | ||||
\(408\) | 5.73716e7 | + | 3.82418e6i | 0.844728 | + | 0.0563064i | ||||
\(409\) | −7.36691e7 | − | 2.68134e7i | −1.07675 | − | 0.391906i | −0.258054 | − | 0.966130i | \(-0.583081\pi\) |
−0.818698 | + | 0.574225i | \(0.805304\pi\) | |||||||
\(410\) | −7.31931e7 | − | 8.72281e7i | −1.06199 | − | 1.26562i | ||||
\(411\) | −2.53956e6 | − | 624410.i | −0.0365791 | − | 0.00899382i | ||||
\(412\) | −1.46900e7 | + | 5.34671e6i | −0.210053 | + | 0.0764531i | ||||
\(413\) | 8.81330e7 | + | 5.08836e7i | 1.25109 | + | 0.722317i | ||||
\(414\) | −8.78474e7 | + | 1.13961e8i | −1.23802 | + | 1.60604i | ||||
\(415\) | −7.55275e6 | − | 1.30817e7i | −0.105672 | − | 0.183030i | ||||
\(416\) | −1.59872e7 | + | 1.90529e7i | −0.222072 | + | 0.264655i | ||||
\(417\) | −8.75323e7 | − | 3.86310e7i | −1.20715 | − | 0.532755i | ||||
\(418\) | 265496. | + | 1.50570e6i | 0.00363520 | + | 0.0206163i | ||||
\(419\) | 1.03973e8 | − | 1.83332e7i | 1.41344 | − | 0.249228i | 0.585786 | − | 0.810466i | \(-0.300786\pi\) |
0.827654 | + | 0.561238i | \(0.189675\pi\) | |||||||
\(420\) | −4.47622e7 | − | 6.11899e7i | −0.604176 | − | 0.825909i | ||||
\(421\) | −3.14656e6 | − | 2.64028e6i | −0.0421687 | − | 0.0353837i | 0.621460 | − | 0.783446i | \(-0.286540\pi\) |
−0.663628 | + | 0.748062i | \(0.730984\pi\) | |||||||
\(422\) | 1.09347e8 | − | 6.31314e7i | 1.45502 | − | 0.840056i | ||||
\(423\) | 1.10961e7 | + | 5.05816e7i | 0.146606 | + | 0.668300i | ||||
\(424\) | −3.66994e7 | + | 6.35652e7i | −0.481461 | + | 0.833915i | ||||
\(425\) | −5.65504e7 | − | 1.55371e8i | −0.736664 | − | 2.02397i | ||||
\(426\) | 5.47666e6 | − | 1.58972e6i | 0.0708414 | − | 0.0205633i | ||||
\(427\) | −1.12339e8 | + | 9.42639e7i | −1.44294 | + | 1.21077i | ||||
\(428\) | 1.33076e7 | − | 3.65623e7i | 0.169734 | − | 0.466339i | ||||
\(429\) | −2.83864e7 | − | 1.90127e7i | −0.359532 | − | 0.240808i | ||||
\(430\) | −1.83191e7 | + | 1.03893e8i | −0.230409 | + | 1.30671i | ||||
\(431\) | 5.35958e7i | 0.669420i | 0.942321 | + | 0.334710i | \(0.108638\pi\) | ||||
−0.942321 | + | 0.334710i | \(0.891362\pi\) | |||||||
\(432\) | 6.25791e7 | + | 7.85050e7i | 0.776208 | + | 0.973747i | ||||
\(433\) | −3.01190e7 | −0.371003 | −0.185501 | − | 0.982644i | \(-0.559391\pi\) | ||||
−0.185501 | + | 0.982644i | \(0.559391\pi\) | |||||||
\(434\) | 4.81237e7 | + | 8.48551e6i | 0.588695 | + | 0.103803i | ||||
\(435\) | 4.76124e6 | + | 9.68187e6i | 0.0578432 | + | 0.117623i | ||||
\(436\) | −1.64765e7 | − | 5.99694e6i | −0.198794 | − | 0.0723553i | ||||
\(437\) | −1.56978e6 | − | 1.87079e6i | −0.0188102 | − | 0.0224171i | ||||
\(438\) | 889144. | − | 926754.i | 0.0105816 | − | 0.0110292i | ||||
\(439\) | 8.84886e7 | − | 3.22072e7i | 1.04591 | − | 0.380680i | 0.238792 | − | 0.971071i | \(-0.423249\pi\) |
0.807117 | + | 0.590391i | \(0.201026\pi\) | |||||||
\(440\) | −8.40926e7 | − | 4.85509e7i | −0.987187 | − | 0.569953i | ||||
\(441\) | 7.69416e7 | − | 4.87779e7i | 0.897110 | − | 0.568731i | ||||
\(442\) | 2.74340e7 | + | 4.75170e7i | 0.317703 | + | 0.550278i | ||||
\(443\) | 1.05943e8 | − | 1.26258e8i | 1.21860 | − | 1.45227i | 0.365266 | − | 0.930903i | \(-0.380978\pi\) |
0.853333 | − | 0.521367i | \(-0.174578\pi\) | |||||||
\(444\) | −4.16939e6 | − | 3.84641e7i | −0.0476347 | − | 0.439448i | ||||
\(445\) | −4.90678e6 | − | 2.78277e7i | −0.0556822 | − | 0.315789i | ||||
\(446\) | −1.68566e8 | + | 2.97227e7i | −1.90005 | + | 0.335030i | ||||
\(447\) | −1.22810e8 | + | 1.33122e7i | −1.37503 | + | 0.149048i | ||||
\(448\) | −2.74136e7 | − | 2.30028e7i | −0.304882 | − | 0.255827i | ||||
\(449\) | 3.52133e7 | − | 2.03304e7i | 0.389016 | − | 0.224598i | −0.292718 | − | 0.956199i | \(-0.594560\pi\) |
0.681734 | + | 0.731600i | \(0.261226\pi\) | |||||||
\(450\) | 8.75172e7 | − | 1.67213e8i | 0.960409 | − | 1.83499i | ||||
\(451\) | −3.88499e7 | + | 6.72900e7i | −0.423507 | + | 0.733535i | ||||
\(452\) | −1.69288e7 | − | 4.65115e7i | −0.183320 | − | 0.503669i | ||||
\(453\) | −3.17025e7 | − | 3.04159e7i | −0.341035 | − | 0.327195i | ||||
\(454\) | 2.26117e7 | − | 1.89735e7i | 0.241638 | − | 0.202758i | ||||
\(455\) | −3.26421e7 | + | 8.96834e7i | −0.346532 | + | 0.952090i | ||||
\(456\) | −999604. | + | 491574.i | −0.0105423 | + | 0.00518435i | ||||
\(457\) | −1.04389e7 | + | 5.92022e7i | −0.109372 | + | 0.620282i | 0.880011 | + | 0.474953i | \(0.157535\pi\) |
−0.989383 | + | 0.145329i | \(0.953576\pi\) | |||||||
\(458\) | − | 1.33621e8i | − | 1.39084i | ||||||
\(459\) | 1.14052e8 | − | 3.82930e7i | 1.17941 | − | 0.395987i | ||||
\(460\) | −1.17570e8 | −1.20788 | ||||||||
\(461\) | −8.15152e7 | − | 1.43733e7i | −0.832024 | − | 0.146708i | −0.258618 | − | 0.965980i | \(-0.583267\pi\) |
−0.573406 | + | 0.819271i | \(0.694378\pi\) | |||||||
\(462\) | −9.55572e7 | + | 1.42669e8i | −0.969031 | + | 1.44678i | ||||
\(463\) | −5.78267e7 | − | 2.10472e7i | −0.582620 | − | 0.212056i | 0.0338605 | − | 0.999427i | \(-0.489220\pi\) |
−0.616480 | + | 0.787370i | \(0.711442\pi\) | |||||||
\(464\) | −6.34200e6 | − | 7.55810e6i | −0.0634851 | − | 0.0756586i | ||||
\(465\) | 1.61177e7 | + | 5.55264e7i | 0.160304 | + | 0.552256i | ||||
\(466\) | −1.05697e8 | + | 3.84705e7i | −1.04449 | + | 0.380163i | ||||
\(467\) | −9.75841e7 | − | 5.63402e7i | −0.958139 | − | 0.553182i | −0.0625394 | − | 0.998042i | \(-0.519920\pi\) |
−0.895600 | + | 0.444861i | \(0.853253\pi\) | |||||||
\(468\) | −5.71381e6 | + | 1.79828e7i | −0.0557427 | + | 0.175437i | ||||
\(469\) | 1.61398e7 | + | 2.79549e7i | 0.156451 | + | 0.270981i | ||||
\(470\) | −9.02748e7 | + | 1.07585e8i | −0.869507 | + | 1.03624i | ||||
\(471\) | 1.14596e8 | − | 8.38303e7i | 1.09675 | − | 0.802303i | ||||
\(472\) | −1.25000e7 | − | 7.08911e7i | −0.118873 | − | 0.674164i | ||||
\(473\) | 7.08928e7 | − | 1.25003e7i | 0.669914 | − | 0.118124i | ||||
\(474\) | −8.42459e6 | + | 1.90889e7i | −0.0791068 | + | 0.179245i | ||||
\(475\) | 2.45380e6 | + | 2.05898e6i | 0.0228959 | + | 0.0192119i | ||||
\(476\) | 7.19506e7 | − | 4.15407e7i | 0.667134 | − | 0.385170i | ||||
\(477\) | −2.03831e7 | + | 1.52218e8i | −0.187808 | + | 1.40252i | ||||
\(478\) | 9.47539e7 | − | 1.64119e8i | 0.867588 | − | 1.50271i | ||||
\(479\) | 4.68718e7 | + | 1.28779e8i | 0.426487 | + | 1.17176i | 0.947931 | + | 0.318477i | \(0.103171\pi\) |
−0.521444 | + | 0.853285i | \(0.674607\pi\) | |||||||
\(480\) | −3.53142e7 | + | 1.43628e8i | −0.319320 | + | 1.29872i | ||||
\(481\) | −3.73095e7 | + | 3.13064e7i | −0.335262 | + | 0.281318i | ||||
\(482\) | 1.79956e7 | − | 4.94424e7i | 0.160703 | − | 0.441528i | ||||
\(483\) | 1.82418e7 | − | 2.73669e8i | 0.161892 | − | 2.42876i | ||||
\(484\) | 232490. | − | 1.31852e6i | 0.00205054 | − | 0.0116292i | ||||
\(485\) | 4.01076e7i | 0.351561i | ||||||||
\(486\) | 1.20031e8 | + | 6.67187e7i | 1.04564 | + | 0.581218i | ||||
\(487\) | 9.83197e7 | 0.851243 | 0.425622 | − | 0.904901i | \(-0.360055\pi\) | ||||
0.425622 | + | 0.904901i | \(0.360055\pi\) | |||||||
\(488\) | 1.02155e8 | + | 1.80128e7i | 0.879027 | + | 0.154996i | ||||
\(489\) | −8.76590e7 | − | 5.84302e6i | −0.749669 | − | 0.0499702i | ||||
\(490\) | 2.32170e8 | + | 8.45031e7i | 1.97342 | + | 0.718265i | ||||
\(491\) | 4.01777e6 | + | 4.78819e6i | 0.0339422 | + | 0.0404508i | 0.782749 | − | 0.622338i | \(-0.213817\pi\) |
−0.748806 | + | 0.662789i | \(0.769373\pi\) | |||||||
\(492\) | 4.16708e7 | + | 1.02457e7i | 0.349894 | + | 0.0860296i | ||||
\(493\) | −1.11104e7 | + | 4.04384e6i | −0.0927229 | + | 0.0337484i | ||||
\(494\) | −920555. | − | 531482.i | −0.00763605 | − | 0.00440868i | ||||
\(495\) | −2.01374e8 | − | 2.69655e7i | −1.66031 | − | 0.222328i | ||||
\(496\) | −2.64364e7 | − | 4.57892e7i | −0.216649 | − | 0.375248i | ||||
\(497\) | −6.98728e6 | + | 8.32711e6i | −0.0569166 | + | 0.0678305i | ||||
\(498\) | 1.72863e7 | + | 7.62903e6i | 0.139963 | + | 0.0617705i | ||||
\(499\) | 6.39969e6 | + | 3.62944e7i | 0.0515059 | + | 0.292105i | 0.999670 | − | 0.0256756i | \(-0.00817369\pi\) |
−0.948164 | + | 0.317780i | \(0.897063\pi\) | |||||||
\(500\) | 6.41456e7 | − | 1.13106e7i | 0.513165 | − | 0.0904848i | ||||
\(501\) | −1.54353e7 | − | 2.11001e7i | −0.122745 | − | 0.167792i | ||||
\(502\) | 4.69743e7 | + | 3.94161e7i | 0.371321 | + | 0.311575i | ||||
\(503\) | −7.30091e7 | + | 4.21518e7i | −0.573684 | + | 0.331217i | −0.758620 | − | 0.651534i | \(-0.774126\pi\) |
0.184935 | + | 0.982751i | \(0.440793\pi\) | |||||||
\(504\) | −1.19232e8 | − | 3.78844e7i | −0.931325 | − | 0.295916i | ||||
\(505\) | 1.69858e8 | − | 2.94203e8i | 1.31890 | − | 2.28441i | ||||
\(506\) | 9.10751e7 | + | 2.50227e8i | 0.702988 | + | 1.93144i | ||||
\(507\) | −1.02346e8 | + | 2.97083e7i | −0.785324 | + | 0.227957i | ||||
\(508\) | −3.74862e7 | + | 3.14546e7i | −0.285943 | + | 0.239935i | ||||
\(509\) | −5.39214e7 | + | 1.48148e8i | −0.408891 | + | 1.12342i | 0.548884 | + | 0.835899i | \(0.315053\pi\) |
−0.957775 | + | 0.287520i | \(0.907169\pi\) | |||||||
\(510\) | 2.71095e8 | + | 1.81574e8i | 2.04367 | + | 1.36881i | ||||
\(511\) | −425107. | + | 2.41090e6i | −0.00318592 | + | 0.0180683i | ||||
\(512\) | − | 2.15196e7i | − | 0.160334i | ||||||
\(513\) | −1.54259e6 | + | 1.74724e6i | −0.0114261 | + | 0.0129419i | ||||
\(514\) | 1.21743e8 | 0.896509 | ||||||||
\(515\) | 1.15249e8 | + | 2.03215e7i | 0.843755 | + | 0.148777i | ||||
\(516\) | −1.75444e7 | − | 3.56761e7i | −0.127699 | − | 0.259674i | ||||
\(517\) | 9.00538e7 | + | 3.27769e7i | 0.651674 | + | 0.237190i | ||||
\(518\) | 1.57345e8 | + | 1.87517e8i | 1.13205 | + | 1.34912i | ||||
\(519\) | 1.56858e8 | − | 1.63493e8i | 1.12203 | − | 1.16949i | ||||
\(520\) | 6.34373e7 | − | 2.30893e7i | 0.451164 | − | 0.164210i | ||||
\(521\) | −1.80546e8 | − | 1.04238e8i | −1.27666 | − | 0.737079i | −0.300426 | − | 0.953805i | \(-0.597129\pi\) |
−0.976233 | + | 0.216726i | \(0.930462\pi\) | |||||||
\(522\) | −1.19572e7 | − | 6.25823e6i | −0.0840653 | − | 0.0439987i | ||||
\(523\) | −2.89704e6 | − | 5.01782e6i | −0.0202511 | − | 0.0350760i | 0.855722 | − | 0.517435i | \(-0.173113\pi\) |
−0.875973 | + | 0.482359i | \(0.839780\pi\) | |||||||
\(524\) | −4.53492e6 | + | 5.40451e6i | −0.0315193 | + | 0.0375632i | ||||
\(525\) | 3.87688e7 | + | 3.57656e8i | 0.267919 | + | 2.47166i | ||||
\(526\) | −2.78863e7 | − | 1.58151e8i | −0.191617 | − | 1.08671i | ||||
\(527\) | −6.23976e7 | + | 1.10024e7i | −0.426320 | + | 0.0751717i | ||||
\(528\) | 1.84711e8 | − | 2.00221e7i | 1.25485 | − | 0.136022i | ||||
\(529\) | −2.12423e8 | − | 1.78244e8i | −1.43495 | − | 1.20406i | ||||
\(530\) | −3.60708e8 | + | 2.08255e8i | −2.42286 | + | 1.39884i | ||||
\(531\) | −8.06452e7 | − | 1.27209e8i | −0.538635 | − | 0.849637i | ||||
\(532\) | −804774. | + | 1.39391e6i | −0.00534489 | + | 0.00925762i | ||||
\(533\) | −1.84758e7 | − | 5.07618e7i | −0.122017 | − | 0.335240i | ||||
\(534\) | 2.55053e7 | + | 2.44703e7i | 0.167497 | + | 0.160700i | ||||
\(535\) | −2.23127e8 | + | 1.87226e8i | −1.45711 | + | 1.22266i | ||||
\(536\) | 7.80929e6 | − | 2.14558e7i | 0.0507127 | − | 0.139332i | ||||
\(537\) | −1.47110e8 | + | 7.23440e7i | −0.949990 | + | 0.467175i | ||||
\(538\) | 3.53522e7 | − | 2.00492e8i | 0.227023 | − | 1.28751i | ||||
\(539\) | − | 1.68592e8i | − | 1.07664i | ||||||
\(540\) | 1.67006e7 | + | 1.10958e8i | 0.106060 | + | 0.704654i | ||||
\(541\) | 2.99767e8 | 1.89318 | 0.946589 | − | 0.322443i | \(-0.104504\pi\) | ||||
0.946589 | + | 0.322443i | \(0.104504\pi\) | |||||||
\(542\) | −3.63887e8 | − | 6.41631e7i | −2.28543 | − | 0.402983i | ||||
\(543\) | 1.42828e8 | − | 2.13245e8i | 0.892101 | − | 1.33193i | ||||
\(544\) | −1.52307e8 | − | 5.54353e7i | −0.946071 | − | 0.344342i | ||||
\(545\) | 8.43717e7 | + | 1.00550e8i | 0.521203 | + | 0.621146i | ||||
\(546\) | −3.32794e7 | − | 1.14649e8i | −0.204455 | − | 0.704356i | ||||
\(547\) | 3.66493e7 | − | 1.33392e7i | 0.223925 | − | 0.0815021i | −0.227621 | − | 0.973750i | \(-0.573095\pi\) |
0.451546 | + | 0.892248i | \(0.350873\pi\) | |||||||
\(548\) | 2.31479e6 | + | 1.33644e6i | 0.0140660 | + | 0.00812098i | ||||
\(549\) | 2.12002e8 | − | 4.65071e7i | 1.28122 | − | 0.281062i | ||||
\(550\) | −1.74635e8 | − | 3.02477e8i | −1.04965 | − | 1.81804i | ||||
\(551\) | 147235. | − | 175467.i | 0.000880147 | − | 0.00104892i | ||||
\(552\) | −1.56584e8 | + | 1.14546e8i | −0.930959 | + | 0.681022i | ||||
\(553\) | −6.90642e6 | − | 3.91683e7i | −0.0408393 | − | 0.231611i | ||||
\(554\) | −5.12131e7 | + | 9.03026e6i | −0.301198 | + | 0.0531093i | ||||
\(555\) | −1.16941e8 | + | 2.64972e8i | −0.684051 | + | 1.54996i | ||||
\(556\) | 7.49103e7 | + | 6.28572e7i | 0.435830 | + | 0.365705i | ||||
\(557\) | 1.22491e8 | − | 7.07204e7i | 0.708826 | − | 0.409241i | −0.101800 | − | 0.994805i | \(-0.532460\pi\) |
0.810626 | + | 0.585564i | \(0.199127\pi\) | |||||||
\(558\) | −5.72799e7 | − | 4.41545e7i | −0.329686 | − | 0.254139i | ||||
\(559\) | −2.50237e7 | + | 4.33424e7i | −0.143257 | + | 0.248129i | ||||
\(560\) | −1.77510e8 | − | 4.87705e8i | −1.01078 | − | 2.77711i | ||||
\(561\) | 5.31592e7 | − | 2.16206e8i | 0.301086 | − | 1.22456i | ||||
\(562\) | −1.03767e8 | + | 8.70707e7i | −0.584587 | + | 0.490527i | ||||
\(563\) | −1.78446e7 | + | 4.90275e7i | −0.0999955 | + | 0.274735i | −0.979596 | − | 0.200978i | \(-0.935588\pi\) |
0.879600 | + | 0.475714i | \(0.157810\pi\) | |||||||
\(564\) | 3.52008e6 | − | 5.28095e7i | 0.0196207 | − | 0.294357i | ||||
\(565\) | −6.43422e7 | + | 3.64903e8i | −0.356739 | + | 2.02317i | ||||
\(566\) | − | 2.78225e8i | − | 1.53443i | ||||||
\(567\) | −2.60869e8 | + | 2.16585e7i | −1.43111 | + | 0.118817i | ||||
\(568\) | 7.68905e6 | 0.0419593 | ||||||||
\(569\) | −1.96431e8 | − | 3.46362e7i | −1.06629 | − | 0.188015i | −0.387143 | − | 0.922020i | \(-0.626538\pi\) |
−0.679145 | + | 0.734004i | \(0.737649\pi\) | |||||||
\(570\) | −6.30716e6 | − | 420412.i | −0.0340573 | − | 0.00227013i | ||||
\(571\) | 1.54906e8 | + | 5.63813e7i | 0.832071 | + | 0.302849i | 0.722709 | − | 0.691153i | \(-0.242897\pi\) |
0.109363 | + | 0.994002i | \(0.465119\pi\) | |||||||
\(572\) | 2.24455e7 | + | 2.67495e7i | 0.119933 | + | 0.142931i | ||||
\(573\) | 2.13721e8 | + | 5.25483e7i | 1.13601 | + | 0.279315i | ||||
\(574\) | −2.55127e8 | + | 9.28587e7i | −1.34903 | + | 0.491006i | ||||
\(575\) | 4.83143e8 | + | 2.78943e8i | 2.54140 | + | 1.46728i | ||||
\(576\) | 2.01600e7 | + | 4.89771e7i | 0.105493 | + | 0.256287i | ||||
\(577\) | 6.71573e7 | + | 1.16320e8i | 0.349596 | + | 0.605517i | 0.986178 | − | 0.165692i | \(-0.0529857\pi\) |
−0.636582 | + | 0.771209i | \(0.719652\pi\) | |||||||
\(578\) | −8.13437e7 | + | 9.69417e7i | −0.421251 | + | 0.502027i | ||||
\(579\) | 3.01793e7 | + | 1.33191e7i | 0.155480 | + | 0.0686184i | ||||
\(580\) | −1.91486e6 | − | 1.08597e7i | −0.00981417 | − | 0.0556589i | ||||
\(581\) | −3.54695e7 | + | 6.25423e6i | −0.180853 | + | 0.0318893i | ||||
\(582\) | −2.96207e7 | − | 4.04915e7i | −0.150254 | − | 0.205397i | ||||
\(583\) | 2.17719e8 | + | 1.82688e8i | 1.09873 | + | 0.921943i | ||||
\(584\) | 1.49965e6 | − | 865824.i | 0.00752925 | − | 0.00434702i | ||||
\(585\) | 1.04353e8 | − | 9.51975e7i | 0.521240 | − | 0.475508i | ||||
\(586\) | −2.81166e7 | + | 4.86994e7i | −0.139724 | + | 0.242008i | ||||
\(587\) | 1.07746e8 | + | 2.96031e8i | 0.532707 | + | 1.46360i | 0.855837 | + | 0.517246i | \(0.173043\pi\) |
−0.323130 | + | 0.946355i | \(0.604735\pi\) | |||||||
\(588\) | −8.94191e7 | + | 2.59558e7i | −0.439843 | + | 0.127674i | ||||
\(589\) | 940309. | − | 789013.i | 0.00460177 | − | 0.00386134i | ||||
\(590\) | 1.39710e8 | − | 3.83851e8i | 0.680256 | − | 1.86899i | ||||
\(591\) | −1.23920e8 | − | 8.29998e7i | −0.600317 | − | 0.402082i | ||||
\(592\) | 4.59918e7 | − | 2.60833e8i | 0.221675 | − | 1.25718i | ||||
\(593\) | − | 3.36778e8i | − | 1.61503i | −0.589850 | − | 0.807513i | \(-0.700813\pi\) | ||
0.589850 | − | 0.807513i | \(-0.299187\pi\) | |||||||
\(594\) | 2.23217e8 | − | 1.21497e8i | 1.06504 | − | 0.579706i | ||||
\(595\) | −6.21949e8 | −2.95259 | ||||||||
\(596\) | 1.24336e8 | + | 2.19238e7i | 0.587298 | + | 0.103556i | ||||
\(597\) | 1.60638e8 | + | 3.26653e8i | 0.754962 | + | 1.53520i | ||||
\(598\) | −1.73966e8 | − | 6.33186e7i | −0.813508 | − | 0.296093i | ||||
\(599\) | 1.70304e8 | + | 2.02961e8i | 0.792401 | + | 0.944347i | 0.999422 | − | 0.0339894i | \(-0.0108213\pi\) |
−0.207021 | + | 0.978337i | \(0.566377\pi\) | |||||||
\(600\) | 1.76172e8 | − | 1.83624e8i | 0.815612 | − | 0.850111i | ||||
\(601\) | 1.75894e8 | − | 6.40201e7i | 0.810265 | − | 0.294912i | 0.0965319 | − | 0.995330i | \(-0.469225\pi\) |
0.713733 | + | 0.700417i | \(0.247003\pi\) | |||||||
\(602\) | 2.17838e8 | + | 1.25769e8i | 0.998489 | + | 0.576478i | ||||
\(603\) | −1.97812e6 | − | 4.77335e7i | −0.00902197 | − | 0.217706i | ||||
\(604\) | 2.24515e7 | + | 3.88871e7i | 0.101891 | + | 0.176480i | ||||
\(605\) | −6.44247e6 | + | 7.67784e6i | −0.0290929 | + | 0.0346715i | ||||
\(606\) | 4.57938e7 | + | 4.22465e8i | 0.205773 | + | 1.89834i | ||||
\(607\) | −7.37813e7 | − | 4.18434e8i | −0.329898 | − | 1.87095i | −0.472742 | − | 0.881201i | \(-0.656736\pi\) |
0.142844 | − | 0.989745i | \(-0.454375\pi\) | |||||||
\(608\) | 3.09233e6 | − | 545262.i | 0.0137586 | − | 0.00242602i | ||||
\(609\) | 2.55755e7 | − | 2.77230e6i | 0.113233 | − | 0.0122740i | ||||
\(610\) | 4.50921e8 | + | 3.78368e8i | 1.98660 | + | 1.66696i | ||||
\(611\) | −5.77003e7 | + | 3.33133e7i | −0.252962 | + | 0.146047i | ||||
\(612\) | −1.22857e8 | + | 5.09131e6i | −0.535976 | + | 0.0222114i | ||||
\(613\) | 9.21125e6 | − | 1.59544e7i | 0.0399887 | − | 0.0692625i | −0.845338 | − | 0.534231i | \(-0.820601\pi\) |
0.885327 | + | 0.464969i | \(0.153934\pi\) | |||||||
\(614\) | 8.12035e7 | + | 2.23105e8i | 0.350808 | + | 0.963837i | ||||
\(615\) | −2.31806e8 | − | 2.22398e8i | −0.996549 | − | 0.956106i | ||||
\(616\) | −1.77357e8 | + | 1.48821e8i | −0.758765 | + | 0.636680i | ||||
\(617\) | 2.29579e7 | − | 6.30763e7i | 0.0977410 | − | 0.268541i | −0.881180 | − | 0.472781i | \(-0.843250\pi\) |
0.978921 | + | 0.204240i | \(0.0654723\pi\) | |||||||
\(618\) | −1.31360e8 | + | 6.45990e7i | −0.556544 | + | 0.273691i | ||||
\(619\) | −1.26311e7 | + | 7.16343e7i | −0.0532559 | + | 0.302029i | −0.999788 | − | 0.0205797i | \(-0.993449\pi\) |
0.946532 | + | 0.322609i | \(0.104560\pi\) | |||||||
\(620\) | − | 5.90937e7i | − | 0.247951i | ||||||
\(621\) | −2.11741e8 | + | 3.46337e8i | −0.884158 | + | 1.44619i | ||||
\(622\) | 4.25230e8 | 1.76707 | ||||||||
\(623\) | −6.63508e7 | − | 1.16994e7i | −0.274399 | − | 0.0483839i | ||||
\(624\) | −7.18820e7 | + | 1.07321e8i | −0.295846 | + | 0.441705i | ||||
\(625\) | −6.10189e7 | − | 2.22091e7i | −0.249934 | − | 0.0909684i | ||||
\(626\) | −3.01335e8 | − | 3.59117e8i | −1.22836 | − | 1.46391i | ||||
\(627\) | 1.20241e6 | + | 4.14236e6i | 0.00487809 | + | 0.0168053i | ||||
\(628\) | −1.36366e8 | + | 4.96330e7i | −0.550587 | + | 0.200397i | ||||
\(629\) | −2.74868e8 | − | 1.58695e8i | −1.10452 | − | 0.637694i | ||||
\(630\) | −4.78460e8 | − | 5.24476e8i | −1.91348 | − | 2.09751i | ||||
\(631\) | −476315. | − | 825002.i | −0.00189586 | − | 0.00328373i | 0.865076 | − | 0.501641i | \(-0.167270\pi\) |
−0.866972 | + | 0.498357i | \(0.833937\pi\) | |||||||
\(632\) | −1.80835e7 | + | 2.15511e7i | −0.0716360 | + | 0.0853725i | ||||
\(633\) | 2.87494e8 | − | 2.10310e8i | 1.13349 | − | 0.829180i | ||||
\(634\) | 7.46642e6 | + | 4.23441e7i | 0.0292984 | + | 0.166160i | ||||
\(635\) | 3.60761e8 | − | 6.36119e7i | 1.40896 | − | 0.248438i | ||||
\(636\) | 6.33759e7 | − | 1.43601e8i | 0.246350 | − | 0.558195i | ||||
\(637\) | 8.97891e7 | + | 7.53420e7i | 0.347380 | + | 0.291487i | ||||
\(638\) | −2.16297e7 | + | 1.24879e7i | −0.0832891 | + | 0.0480870i | ||||
\(639\) | 1.48772e7 | − | 6.12376e6i | 0.0570189 | − | 0.0234701i | ||||
\(640\) | −2.47116e8 | + | 4.28018e8i | −0.942674 | + | 1.63276i | ||||
\(641\) | 6.85669e7 | + | 1.88386e8i | 0.260340 | + | 0.715278i | 0.999144 | + | 0.0413579i | \(0.0131684\pi\) |
−0.738805 | + | 0.673920i | \(0.764609\pi\) | |||||||
\(642\) | 8.69909e7 | − | 3.53804e8i | 0.328752 | − | 1.33708i | ||||
\(643\) | 1.49120e8 | − | 1.25126e8i | 0.560921 | − | 0.470669i | −0.317698 | − | 0.948192i | \(-0.602910\pi\) |
0.878619 | + | 0.477523i | \(0.158465\pi\) | |||||||
\(644\) | −9.58773e7 | + | 2.63421e8i | −0.358970 | + | 0.986262i | ||||
\(645\) | −1.97942e7 | + | 2.96960e8i | −0.0737666 | + | 1.10667i | ||||
\(646\) | 1.20287e6 | − | 6.82180e6i | 0.00446190 | − | 0.0253047i | ||||
\(647\) | − | 3.61439e7i | − | 0.133451i | −0.997771 | − | 0.0667255i | \(-0.978745\pi\) | ||
0.997771 | − | 0.0667255i | \(-0.0212552\pi\) | |||||||
\(648\) | 1.30346e8 | + | 1.31507e8i | 0.479041 | + | 0.483307i | ||||
\(649\) | −2.78736e8 | −1.01967 | ||||||||
\(650\) | 2.39136e8 | + | 4.21661e7i | 0.870772 | + | 0.153541i | ||||
\(651\) | 1.37553e8 | + | 9.16880e6i | 0.498573 | + | 0.0332330i | ||||
\(652\) | 8.43763e7 | + | 3.07105e7i | 0.304423 | + | 0.110801i | ||||
\(653\) | −2.30639e8 | − | 2.74865e8i | −0.828311 | − | 0.987142i | −0.999998 | − | 0.00199079i | \(-0.999366\pi\) |
0.171687 | − | 0.985151i | \(-0.445078\pi\) | |||||||
\(654\) | −1.59439e8 | − | 3.92017e7i | −0.569981 | − | 0.140143i | ||||
\(655\) | 4.96295e7 | − | 1.80636e7i | 0.176610 | − | 0.0642808i | ||||
\(656\) | 2.54406e8 | + | 1.46881e8i | 0.901188 | + | 0.520301i | ||||
\(657\) | 2.21205e6 | − | 2.86961e6i | 0.00780007 | − | 0.0101187i | ||||
\(658\) | 1.67432e8 | + | 2.90000e8i | 0.587705 | + | 1.01794i | ||||
\(659\) | −8.27062e7 | + | 9.85655e7i | −0.288989 | + | 0.344404i | −0.890933 | − | 0.454134i | \(-0.849949\pi\) |
0.601944 | + | 0.798538i | \(0.294393\pi\) | |||||||
\(660\) | 1.89975e8 | + | 8.38422e7i | 0.660791 | + | 0.291629i | ||||
\(661\) | 3.71995e7 | + | 2.10969e8i | 0.128805 | + | 0.730490i | 0.978975 | + | 0.203981i | \(0.0653881\pi\) |
−0.850170 | + | 0.526509i | \(0.823501\pi\) | |||||||
\(662\) | 4.34200e8 | − | 7.65611e7i | 1.49663 | − | 0.263897i | ||||
\(663\) | 9.13909e7 | + | 1.24932e8i | 0.313590 | + | 0.428678i | ||||
\(664\) | 1.95160e7 | + | 1.63758e7i | 0.0666631 | + | 0.0559370i | ||||
\(665\) | 1.04348e7 | − | 6.02455e6i | 0.0354830 | − | 0.0204861i | ||||
\(666\) | −7.76295e7 | − | 3.53873e8i | −0.262787 | − | 1.19791i | ||||
\(667\) | 1.99468e7 | − | 3.45488e7i | 0.0672195 | − | 0.116428i | ||||
\(668\) | 9.13873e6 | + | 2.51085e7i | 0.0306589 | + | 0.0842346i | ||||
\(669\) | −4.63744e8 | + | 1.34612e8i | −1.54882 | + | 0.449578i | ||||
\(670\) | 9.92545e7 | − | 8.32844e7i | 0.330009 | − | 0.276910i | ||||
\(671\) | 1.37377e8 | − | 3.77441e8i | 0.454724 | − | 1.24934i | ||||
\(672\) | 2.93006e8 | + | 1.96250e8i | 0.965538 | + | 0.646700i | ||||
\(673\) | −391195. | + | 2.21858e6i | −0.00128336 | + | 0.00727828i | −0.985443 | − | 0.170008i | \(-0.945621\pi\) |
0.984159 | + | 0.177286i | \(0.0567318\pi\) | |||||||
\(674\) | 4.11355e8i | 1.34350i | ||||||||
\(675\) | 1.94625e8 | − | 4.95594e8i | 0.632830 | − | 1.61144i | ||||
\(676\) | 1.08922e8 | 0.352594 | ||||||||
\(677\) | −1.63935e8 | − | 2.89061e7i | −0.528330 | − | 0.0931588i | −0.0968807 | − | 0.995296i | \(-0.530887\pi\) |
−0.431449 | + | 0.902137i | \(0.641998\pi\) | |||||||
\(678\) | −2.04534e8 | − | 4.15914e8i | −0.656259 | − | 1.33449i | ||||
\(679\) | 8.98630e7 | + | 3.27074e7i | 0.287059 | + | 0.104481i | ||||
\(680\) | 2.82784e8 | + | 3.37008e8i | 0.899348 | + | 1.07180i | ||||
\(681\) | 5.76511e7 | − | 6.00898e7i | 0.182544 | − | 0.190265i | ||||
\(682\) | −1.25771e8 | + | 4.57768e7i | −0.396485 | + | 0.144309i | ||||
\(683\) | 3.63059e8 | + | 2.09612e8i | 1.13950 | + | 0.657892i | 0.946307 | − | 0.323269i | \(-0.104782\pi\) |
0.193195 | + | 0.981160i | \(0.438115\pi\) | |||||||
\(684\) | 2.01193e6 | − | 1.27548e6i | 0.00628702 | − | 0.00398571i | ||||
\(685\) | −1.00046e7 | − | 1.73285e7i | −0.0311264 | − | 0.0539126i | ||||
\(686\) | 2.21727e7 | − | 2.64243e7i | 0.0686824 | − | 0.0818525i | ||||
\(687\) | −4.06238e7 | − | 3.74770e8i | −0.125288 | − | 1.15583i | ||||
\(688\) | −4.72604e7 | − | 2.68027e8i | −0.145122 | − | 0.823026i | ||||
\(689\) | −1.94592e8 | + | 3.43118e7i | −0.594932 | + | 0.104903i | ||||
\(690\) | −1.09451e9 | + | 1.18642e8i | −3.33176 | + | 0.361151i | ||||
\(691\) | −2.27571e8 | − | 1.90955e8i | −0.689736 | − | 0.578757i | 0.229097 | − | 0.973404i | \(-0.426423\pi\) |
−0.918833 | + | 0.394646i | \(0.870867\pi\) | |||||||
\(692\) | −2.00544e8 | + | 1.15784e8i | −0.605190 | + | 0.349407i | ||||
\(693\) | −2.24637e8 | + | 4.29199e8i | −0.674965 | + | 1.28961i | ||||
\(694\) | 8.93574e7 | − | 1.54772e8i | 0.267333 | − | 0.463034i | ||||
\(695\) | −2.50375e8 | − | 6.87899e8i | −0.745823 | − | 2.04913i | ||||
\(696\) | −1.31307e7 | − | 1.25978e7i | −0.0389457 | − | 0.0373652i | ||||
\(697\) | 2.69671e8 | − | 2.26280e8i | 0.796407 | − | 0.668265i | ||||
\(698\) | −2.47472e8 | + | 6.79923e8i | −0.727712 | + | 1.99937i | ||||
\(699\) | −2.84755e8 | + | 1.40033e8i | −0.833756 | + | 0.410015i | ||||
\(700\) | 6.38482e7 | − | 3.62101e8i | 0.186146 | − | 1.05569i | ||||
\(701\) | 2.55553e8i | 0.741868i | 0.928659 | + | 0.370934i | \(0.120962\pi\) | ||||
−0.928659 | + | 0.370934i | \(0.879038\pi\) | |||||||
\(702\) | −3.50458e7 | + | 1.73177e8i | −0.101303 | + | 0.500585i | ||||
\(703\) | 6.14886e6 | 0.0176982 | ||||||||
\(704\) | 9.65272e7 | + | 1.70203e7i | 0.276651 | + | 0.0487810i | ||||
\(705\) | −2.20487e8 | + | 3.29192e8i | −0.629240 | + | 0.939469i | ||||
\(706\) | 1.32617e8 | + | 4.82688e7i | 0.376865 | + | 0.137168i | ||||
\(707\) | −5.20659e8 | − | 6.20497e8i | −1.47331 | − | 1.75583i | ||||
\(708\) | 4.29131e7 | + | 1.47838e8i | 0.120918 | + | 0.416568i | ||||
\(709\) | −7.92755e7 | + | 2.88539e7i | −0.222433 | + | 0.0809592i | −0.450833 | − | 0.892608i | \(-0.648873\pi\) |
0.228400 | + | 0.973567i | \(0.426651\pi\) | |||||||
\(710\) | 3.77868e7 | + | 2.18162e7i | 0.105576 | + | 0.0609543i | ||||
\(711\) | −1.78252e7 | + | 5.61004e7i | −0.0495935 | + | 0.156084i | ||||
\(712\) | 2.38285e7 | + | 4.12722e7i | 0.0660171 | + | 0.114345i | ||||
\(713\) | 1.37418e8 | − | 1.63769e8i | 0.379119 | − | 0.451817i | ||||
\(714\) | 6.27902e8 | − | 4.59328e8i | 1.72503 | − | 1.26191i | ||||
\(715\) | −4.53923e7 | − | 2.57433e8i | −0.124184 | − | 0.704280i | ||||
\(716\) | 1.65007e8 | − | 2.90951e7i | 0.449534 | − | 0.0792649i | ||||
\(717\) | 2.15863e8 | − | 4.89114e8i | 0.585626 | − | 1.32695i | ||||
\(718\) | −3.20842e8 | − | 2.69218e8i | −0.866798 | − | 0.727330i | ||||
\(719\) | −4.61555e8 | + | 2.66479e8i | −1.24176 | + | 0.716928i | −0.969452 | − | 0.245283i | \(-0.921119\pi\) |
−0.272305 | + | 0.962211i | \(0.587786\pi\) | |||||||
\(720\) | −1.01950e8 | + | 7.61343e8i | −0.273142 | + | 2.03978i | ||||
\(721\) | 1.39516e8 | − | 2.41649e8i | 0.372237 | − | 0.644733i | ||||
\(722\) | −1.53950e8 | − | 4.22976e8i | −0.409043 | − | 1.12384i | ||||
\(723\) | 3.54410e7 | − | 1.44143e8i | 0.0937758 | − | 0.381399i | ||||
\(724\) | −2.00949e8 | + | 1.68616e8i | −0.529504 | + | 0.444307i | ||||
\(725\) | −1.78965e7 | + | 4.91703e7i | −0.0469628 | + | 0.129029i | ||||
\(726\) | 833823. | − | 1.25093e7i | 0.00217903 | − | 0.0326906i | ||||
\(727\) | −3.87788e7 | + | 2.19925e8i | −0.100923 | + | 0.572364i | 0.891847 | + | 0.452336i | \(0.149409\pi\) |
−0.992771 | + | 0.120027i | \(0.961702\pi\) | |||||||
\(728\) | − | 1.60963e8i | − | 0.417189i | ||||||
\(729\) | 3.56936e8 | + | 1.50636e8i | 0.921315 | + | 0.388817i | ||||
\(730\) | 9.82644e6 | 0.0252597 | ||||||||
\(731\) | −3.21190e8 | − | 5.66345e7i | −0.822262 | − | 0.144987i | ||||
\(732\) | −2.21340e8 | − | 1.47537e7i | −0.564321 | − | 0.0376155i | ||||
\(733\) | −9.66757e7 | − | 3.51871e7i | −0.245474 | − | 0.0893452i | 0.216353 | − | 0.976315i | \(-0.430584\pi\) |
−0.461827 | + | 0.886970i | \(0.652806\pi\) | |||||||
\(734\) | 2.89422e8 | + | 3.44920e8i | 0.731886 | + | 0.872228i | ||||
\(735\) | 6.76864e8 | + | 1.66423e8i | 1.70467 | + | 0.419132i | ||||
\(736\) | 5.13903e8 | − | 1.87045e8i | 1.28898 | − | 0.469152i | ||||
\(737\) | −7.65674e7 | − | 4.42062e7i | −0.191268 | − | 0.110428i | ||||
\(738\) | 3.98272e8 | + | 5.33317e7i | 0.990858 | + | 0.132683i | ||||
\(739\) | −1.61111e8 | − | 2.79053e8i | −0.399201 | − | 0.691437i | 0.594426 | − | 0.804150i | \(-0.297379\pi\) |
−0.993628 | + | 0.112713i | \(0.964046\pi\) | |||||||
\(740\) | 1.90277e8 | − | 2.26764e8i | 0.469561 | − | 0.559601i | ||||
\(741\) | −2.74348e6 | − | 1.21079e6i | −0.00674292 | − | 0.00297588i | ||||
\(742\) | 1.72450e8 | + | 9.78014e8i | 0.422136 | + | 2.39405i | ||||
\(743\) | −4.50982e8 | + | 7.95203e7i | −1.09949 | + | 0.193870i | −0.693821 | − | 0.720148i | \(-0.744074\pi\) |
−0.405673 | + | 0.914018i | \(0.632963\pi\) | |||||||
\(744\) | −5.75737e7 | − | 7.87034e7i | −0.139799 | − | 0.191106i | ||||
\(745\) | −7.24020e8 | − | 6.07525e8i | −1.75098 | − | 1.46925i | ||||
\(746\) | −6.53633e7 | + | 3.77375e7i | −0.157441 | + | 0.0908985i | ||||
\(747\) | 5.08027e7 | + | 1.61419e7i | 0.121878 | + | 0.0387251i | ||||
\(748\) | −1.13778e8 | + | 1.97070e8i | −0.271866 | + | 0.470885i | ||||
\(749\) | 2.37530e8 | + | 6.52609e8i | 0.565293 | + | 1.55313i | ||||
\(750\) | 5.85748e8 | − | 1.70026e8i | 1.38844 | − | 0.403025i | ||||
\(751\) | −4.81122e8 | + | 4.03709e8i | −1.13589 | + | 0.953123i | −0.999296 | − | 0.0375046i | \(-0.988059\pi\) |
−0.136591 | + | 0.990628i | \(0.543615\pi\) | |||||||
\(752\) | 1.23921e8 | − | 3.40469e8i | 0.291401 | − | 0.800617i | ||||
\(753\) | 1.43733e8 | + | 9.62700e7i | 0.336645 | + | 0.225479i | ||||
\(754\) | 3.01524e6 | − | 1.71002e7i | 0.00703408 | − | 0.0398922i | ||||
\(755\) | − | 3.36144e8i | − | 0.781061i | ||||||
\(756\) | 2.62225e8 | + | 5.30665e7i | 0.606888 | + | 0.122816i | ||||
\(757\) | 3.68074e7 | 0.0848493 | 0.0424246 | − | 0.999100i | \(-0.486492\pi\) | ||||
0.0424246 | + | 0.999100i | \(0.486492\pi\) | |||||||
\(758\) | 3.40916e8 | + | 6.01126e7i | 0.782779 | + | 0.138025i | ||||
\(759\) | 3.31515e8 | + | 6.74128e8i | 0.758189 | + | 1.54176i | ||||
\(760\) | −8.00890e6 | − | 2.91500e6i | −0.0182445 | − | 0.00664046i | ||||
\(761\) | 5.73398e7 | + | 6.83349e7i | 0.130107 | + | 0.155056i | 0.827165 | − | 0.561959i | \(-0.189952\pi\) |
−0.697057 | + | 0.717015i | \(0.745508\pi\) | |||||||
\(762\) | −3.17235e8 | + | 3.30654e8i | −0.716995 | + | 0.747324i | ||||
\(763\) | 2.94092e8 | − | 1.07041e8i | 0.662079 | − | 0.240977i | ||||
\(764\) | −1.94805e8 | − | 1.12471e8i | −0.436837 | − | 0.252208i | ||||
\(765\) | 8.15548e8 | + | 4.26847e8i | 1.82165 | + | 0.953428i | ||||
\(766\) | −5.12868e7 | − | 8.88313e7i | −0.114109 | − | 0.197642i | ||||
\(767\) | 1.24564e8 | − | 1.48450e8i | 0.276062 | − | 0.328998i | ||||
\(768\) | −5.30932e7 | − | 4.89805e8i | −0.117207 | − | 1.08128i | ||||
\(769\) | 1.01552e8 | + | 5.75932e8i | 0.223312 | + | 1.26646i | 0.865887 | + | 0.500240i | \(0.166755\pi\) |
−0.642575 | + | 0.766223i | \(0.722134\pi\) | |||||||
\(770\) | −1.29385e9 | + | 2.28140e8i | −2.83407 | + | 0.499724i | ||||
\(771\) | 3.41455e8 | − | 3.70126e7i | 0.745025 | − | 0.0807582i | ||||
\(772\) | −2.58275e7 | − | 2.16718e7i | −0.0561345 | − | 0.0471025i | ||||
\(773\) | −1.70479e8 | + | 9.84259e7i | −0.369089 | + | 0.213094i | −0.673060 | − | 0.739587i | \(-0.735021\pi\) |
0.303971 | + | 0.952681i | \(0.401687\pi\) | |||||||
\(774\) | −1.99330e8 | − | 3.14421e8i | −0.429883 | − | 0.678092i | ||||
\(775\) | −1.40204e8 | + | 2.42841e8i | −0.301201 | + | 0.521695i | ||||
\(776\) | −2.31355e7 | − | 6.35643e7i | −0.0495101 | − | 0.136028i | ||||
\(777\) | 4.98319e8 | + | 4.78096e8i | 1.06229 | + | 1.01918i | ||||
\(778\) | 5.11310e8 | − | 4.29040e8i | 1.08579 | − | 0.911086i | ||||
\(779\) | −2.33255e6 | + | 6.40864e6i | −0.00493423 | + | 0.0135567i | ||||
\(780\) | −1.29550e8 | + | 6.37088e7i | −0.272995 | + | 0.134250i | ||||
\(781\) | 5.17007e6 | − | 2.93209e7i | 0.0108528 | − | 0.0615495i | ||||
\(782\) | − | 1.20645e9i | − | 2.52283i | ||||||
\(783\) | −3.54392e7 | − | 1.39173e7i | −0.0738242 | − | 0.0289915i | ||||
\(784\) | −6.37404e8 | −1.32271 | ||||||||
\(785\) | 1.06985e9 | + | 1.88643e8i | 2.21163 | + | 0.389970i | ||||
\(786\) | −3.67640e7 | + | 5.48894e7i | −0.0757102 | + | 0.113037i | ||||
\(787\) | 8.34997e8 | + | 3.03914e8i | 1.71301 | + | 0.623486i | 0.997198 | − | 0.0748033i | \(-0.0238329\pi\) |
0.715816 | + | 0.698289i | \(0.246055\pi\) | |||||||
\(788\) | 9.79855e7 | + | 1.16775e8i | 0.200255 | + | 0.238655i | ||||
\(789\) | −1.26295e8 | − | 4.35092e8i | −0.257131 | − | 0.885829i | ||||
\(790\) | −1.50016e8 | + | 5.46014e7i | −0.304268 | + | 0.110744i | ||||
\(791\) | 7.65111e8 | + | 4.41737e8i | 1.54595 | + | 0.892554i | ||||
\(792\) | 3.34702e8 | − | 7.34238e7i | 0.673724 | − | 0.147796i | ||||
\(793\) | 1.39626e8 | + | 2.41839e8i | 0.279992 | + | 0.484961i | ||||
\(794\) | 7.06348e6 | − | 8.41793e6i | 0.0141110 | − | 0.0168168i | ||||
\(795\) | −9.48371e8 | + | 6.93760e8i | −1.88746 | + | 1.38073i | ||||
\(796\) | −6.46049e7 | − | 3.66392e8i | −0.128093 | − | 0.726452i | ||||
\(797\) | −3.14104e8 | + | 5.53851e7i | −0.620439 | + | 0.109400i | −0.475027 | − | 0.879971i | \(-0.657562\pi\) |
−0.145412 | + | 0.989371i | \(0.546451\pi\) | |||||||
\(798\) | −6.08540e6 | + | 1.37887e7i | −0.0119751 | + | 0.0271340i | ||||
\(799\) | −3.32606e8 | − | 2.79089e8i | −0.652063 | − | 0.547146i | ||||
\(800\) | −6.21212e8 | + | 3.58657e8i | −1.21330 | + | 0.700502i | ||||
\(801\) | 7.89749e7 | + | 6.08781e7i | 0.153671 | + | 0.118458i | ||||
\(802\) | 2.51359e8 | − | 4.35366e8i | 0.487271 | − | 0.843978i | ||||
\(803\) | −2.29332e6 | − | 6.30085e6i | −0.00442913 | − | 0.0121689i | ||||
\(804\) | −1.16583e7 | + | 4.74161e7i | −0.0224320 | + | 0.0912342i | ||||
\(805\) | 1.60757e9 | − | 1.34891e9i | 3.08164 | − | 2.58580i | ||||
\(806\) | 3.18256e7 | − | 8.74402e7i | 0.0607815 | − | 0.166996i | ||||
\(807\) | 3.81989e7 | − | 5.73073e8i | 0.0726825 | − | 1.09041i | ||||
\(808\) | −9.94920e7 | + | 5.64247e8i | −0.188605 | + | 1.06963i | ||||
\(809\) | 5.93505e8i | 1.12093i | 0.828178 | + | 0.560465i | \(0.189378\pi\) | ||||
−0.828178 | + | 0.560465i | \(0.810622\pi\) | |||||||
\(810\) | 2.67443e8 | + | 1.01610e9i | 0.503242 | + | 1.91198i | ||||
\(811\) | 4.10582e8 | 0.769728 | 0.384864 | − | 0.922973i | \(-0.374248\pi\) | ||||
0.384864 | + | 0.922973i | \(0.374248\pi\) | |||||||
\(812\) | −2.58933e7 | − | 4.56569e6i | −0.0483637 | − | 0.00852782i | ||||
\(813\) | −1.04011e9 | − | 6.93298e7i | −1.93556 | − | 0.129017i | ||||
\(814\) | −6.30024e8 | − | 2.29310e8i | −1.16811 | − | 0.425158i | ||||
\(815\) | −4.32069e8 | − | 5.14920e8i | −0.798143 | − | 0.951189i | ||||
\(816\) | −8.17418e8 | − | 2.00981e8i | −1.50444 | − | 0.369900i | ||||
\(817\) | 5.93741e6 | − | 2.16104e6i | 0.0108876 | − | 0.00396275i | ||||
\(818\) | 6.49782e8 | + | 3.75152e8i | 1.18716 | + | 0.685405i | ||||
\(819\) | −1.28195e8 | − | 3.11441e8i | −0.233357 | − | 0.566923i | ||||
\(820\) | 1.64163e8 | + | 2.84338e8i | 0.297737 | + | 0.515696i | ||||
\(821\) | −2.17404e8 | + | 2.59092e8i | −0.392860 | + | 0.468192i | −0.925829 | − | 0.377942i | \(-0.876632\pi\) |
0.532969 | + | 0.846135i | \(0.321076\pi\) | |||||||
\(822\) | 2.28981e7 | + | 1.01057e7i | 0.0412271 | + | 0.0181949i | ||||
\(823\) | −9.58192e7 | − | 5.43418e8i | −0.171891 | − | 0.974842i | −0.941672 | − | 0.336533i | \(-0.890746\pi\) |
0.769781 | − | 0.638309i | \(-0.220366\pi\) | |||||||
\(824\) | −1.94374e8 | + | 3.42734e7i | −0.347422 | + | 0.0612598i | ||||
\(825\) | −5.81763e8 | − | 7.95271e8i | −1.03606 | − | 1.41629i | ||||
\(826\) | −7.46103e8 | − | 6.26055e8i | −1.32391 | − | 1.11089i | ||||
\(827\) | −4.57220e8 | + | 2.63976e8i | −0.808367 | + | 0.466711i | −0.846389 | − | 0.532566i | \(-0.821228\pi\) |
0.0380214 | + | 0.999277i | \(0.487894\pi\) | |||||||
\(828\) | 3.06509e8 | − | 2.79617e8i | 0.539949 | − | 0.492575i | ||||
\(829\) | −4.33550e8 | + | 7.50931e8i | −0.760984 | + | 1.31806i | 0.181359 | + | 0.983417i | \(0.441950\pi\) |
−0.942344 | + | 0.334647i | \(0.891383\pi\) | |||||||
\(830\) | 4.94452e7 | + | 1.35850e8i | 0.0864748 | + | 0.237588i | ||||
\(831\) | −1.40893e8 | + | 4.08973e7i | −0.245520 | + | 0.0712675i | ||||
\(832\) | −5.22016e7 | + | 4.38023e7i | −0.0906387 | + | 0.0760549i | ||||
\(833\) | −2.61246e8 | + | 7.17767e8i | −0.451975 | + | 1.24179i | ||||
\(834\) | 7.60805e8 | + | 5.09574e8i | 1.31152 | + | 0.878434i | ||||
\(835\) | 3.47341e7 | − | 1.96987e8i | 0.0596618 | − | 0.338359i | ||||
\(836\) | − | 4.40849e6i | − | 0.00754520i | ||||||
\(837\) | −1.74078e8 | − | 1.06427e8i | −0.296871 | − | 0.181499i | ||||
\(838\) | −1.01043e9 | −1.71701 | ||||||||
\(839\) | −6.23986e7 | − | 1.10026e7i | −0.105655 | − | 0.0186298i | 0.120571 | − | 0.992705i | \(-0.461528\pi\) |
−0.226226 | + | 0.974075i | \(0.572639\pi\) | |||||||
\(840\) | −4.22409e8 | − | 8.58960e8i | −0.712682 | − | 1.44922i | ||||
\(841\) | −5.55435e8 | − | 2.02162e8i | −0.933781 | − | 0.339869i | ||||
\(842\) | 2.52689e7 | + | 3.01143e7i | 0.0423302 | + | 0.0504472i | ||||
\(843\) | −2.64566e8 | + | 2.75757e8i | −0.441622 | + | 0.460302i | ||||
\(844\) | −3.42108e8 | + | 1.24517e8i | −0.569031 | + | 0.207111i | ||||
\(845\) | −7.06149e8 | − | 4.07695e8i | −1.17038 | − | 0.675718i | ||||
\(846\) | −2.05208e7 | − | 4.95180e8i | −0.0338908 | − | 0.817809i | ||||
\(847\) | 1.19488e7 | + | 2.06959e7i | 0.0196641 | + | 0.0340592i | ||||
\(848\) | 6.90694e8 | − | 8.23138e8i | 1.13266 | − | 1.34985i | ||||
\(849\) | −8.45868e7 | − | 7.80345e8i | −0.138223 | − | 1.27516i | ||||
\(850\) | 2.74784e8 | + | 1.55838e9i | 0.447440 | + | 2.53756i | ||||
\(851\) | 1.05465e9 | − | 1.85962e8i | 1.71127 | − | 0.301742i | ||||
\(852\) | −1.63474e7 | + | 1.77200e6i | −0.0264320 | + | 0.00286514i | ||||
\(853\) | 5.24127e8 | + | 4.39795e8i | 0.844480 | + | 0.708603i | 0.958567 | − | 0.284868i | \(-0.0919498\pi\) |
−0.114087 | + | 0.993471i | \(0.536394\pi\) | |||||||
\(854\) | 1.21547e9 | − | 7.01754e8i | 1.95152 | − | 1.12671i | ||||
\(855\) | −1.78177e7 | + | 738382.i | −0.0285071 | + | 0.00118136i | ||||
\(856\) | 2.45623e8 | − | 4.25432e8i | 0.391605 | − | 0.678279i | ||||
\(857\) | −1.10120e8 | − | 3.02552e8i | −0.174954 | − | 0.480681i | 0.820961 | − | 0.570985i | \(-0.193438\pi\) |
−0.995914 | + | 0.0903037i | \(0.971216\pi\) | |||||||
\(858\) | 2.35949e8 | + | 2.26373e8i | 0.373556 | + | 0.358396i | ||||
\(859\) | 1.71618e8 | − | 1.44005e8i | 0.270760 | − | 0.227195i | −0.497290 | − | 0.867584i | \(-0.665672\pi\) |
0.768050 | + | 0.640390i | \(0.221227\pi\) | |||||||
\(860\) | 1.04037e8 | − | 2.85839e8i | 0.163566 | − | 0.449393i | ||||
\(861\) | −6.87330e8 | + | 3.38008e8i | −1.07685 | + | 0.529562i | ||||
\(862\) | 8.90714e7 | − | 5.05149e8i | 0.139064 | − | 0.788674i | ||||
\(863\) | 1.89355e8i | 0.294608i | 0.989091 | + | 0.147304i | \(0.0470596\pi\) | ||||
−0.989091 | + | 0.147304i | \(0.952940\pi\) | |||||||
\(864\) | −2.49525e8 | − | 4.58431e8i | −0.386877 | − | 0.710776i | ||||
\(865\) | 1.73353e9 | 2.67844 | ||||||||
\(866\) | 2.83877e8 | + | 5.00551e7i | 0.437095 | + | 0.0770717i | ||||
\(867\) | −1.98674e8 | + | 2.96625e8i | −0.304848 | + | 0.455145i | ||||
\(868\) | −1.32402e8 | − | 4.81905e7i | −0.202459 | − | 0.0736890i | ||||
\(869\) | 7.00223e7 | + | 8.34493e7i | 0.106703 | + | 0.127164i | ||||
\(870\) | −2.87851e7 | − | 9.91659e7i | −0.0437129 | − | 0.150593i | ||||
\(871\) | 5.77605e7 | − | 2.10231e7i | 0.0874130 | − | 0.0318157i | ||||
\(872\) | −1.91717e8 | − | 1.10688e8i | −0.289142 | − | 0.166936i | ||||
\(873\) | −9.53881e7 | − | 1.04562e8i | −0.143368 | − | 0.157156i | ||||
\(874\) | 1.16863e7 | + | 2.02413e7i | 0.0175043 | + | 0.0303183i | ||||
\(875\) | −7.47313e8 | + | 8.90613e8i | −1.11552 | + | 1.32943i | ||||
\(876\) | −2.98881e6 | + | 2.18640e6i | −0.00444617 | + | 0.00325250i | ||||
\(877\) | 2.24289e8 | + | 1.27201e9i | 0.332514 | + | 1.88578i | 0.450518 | + | 0.892767i | \(0.351239\pi\) |
−0.118004 | + | 0.993013i | \(0.537650\pi\) | |||||||
\(878\) | −8.87545e8 | + | 1.56498e8i | −1.31131 | + | 0.231220i | ||||
\(879\) | −6.40535e7 | + | 1.45136e8i | −0.0943141 | + | 0.213702i | ||||
\(880\) | 1.08896e9 | + | 9.13744e8i | 1.59795 | + | 1.34084i | ||||
\(881\) | −4.35981e8 | + | 2.51714e8i | −0.637587 | + | 0.368111i | −0.783684 | − | 0.621159i | \(-0.786662\pi\) |
0.146097 | + | 0.989270i | \(0.453329\pi\) | |||||||
\(882\) | −8.06252e8 | + | 3.31869e8i | −1.17507 | + | 0.483683i | ||||
\(883\) | −3.76563e8 | + | 6.52227e8i | −0.546961 | + | 0.947363i | 0.451520 | + | 0.892261i | \(0.350882\pi\) |
−0.998481 | + | 0.0551025i | \(0.982451\pi\) | |||||||
\(884\) | −5.41094e7 | − | 1.48664e8i | −0.0783278 | − | 0.215204i | ||||
\(885\) | 2.75149e8 | − | 1.11907e9i | 0.396952 | − | 1.61446i | ||||
\(886\) | −1.20836e9 | + | 1.01393e9i | −1.73738 | + | 1.45783i | ||||
\(887\) | 1.11979e8 | − | 3.07661e8i | 0.160460 | − | 0.440860i | −0.833243 | − | 0.552907i | \(-0.813518\pi\) |
0.993703 | + | 0.112047i | \(0.0357406\pi\) | |||||||
\(888\) | 3.24880e7 | − | 4.87396e8i | 0.0463964 | − | 0.696054i | ||||
\(889\) | 1.51673e8 | − | 8.60178e8i | 0.215875 | − | 1.22429i | ||||
\(890\) | 2.70435e8i | 0.383613i | ||||||||
\(891\) | 5.89123e8 | − | 4.08629e8i | 0.832862 | − | 0.577692i | ||||
\(892\) | 4.93538e8 | 0.695386 | ||||||||
\(893\) | 8.28376e6 | + | 1.46065e6i | 0.0116325 | + | 0.00205112i | ||||
\(894\) | 1.17963e9 | + | 7.86295e7i | 1.65094 | + | 0.110046i | ||||
\(895\) | −1.17866e9 | − | 4.28995e8i | −1.64406 | − | 0.598389i | ||||
\(896\) | 7.57473e8 | + | 9.02721e8i | 1.05304 | + | 1.25496i | ||||
\(897\) | −5.07178e8 | − | 1.24701e8i | −0.702721 | − | 0.172780i | ||||
\(898\) | −3.65678e8 | + | 1.33096e8i | −0.504975 | + | 0.183796i | ||||
\(899\) | 1.73652e7 | + | 1.00258e7i | 0.0239001 | + | 0.0137987i | ||||
\(900\) | −3.32235e8 | + | 4.30996e8i | −0.455740 | + | 0.591215i | ||||
\(901\) | −6.43831e8 | − | 1.11515e9i | −0.880233 | − | 1.52461i | ||||
\(902\) | 4.77996e8 | − | 5.69654e8i | 0.651336 | − | 0.776232i | ||||
\(903\) | 6.49211e8 | + | 2.86518e8i | 0.881703 | + | 0.389125i | ||||
\(904\) | −1.08517e8 | − | 6.15429e8i | −0.146890 | − | 0.833053i | ||||
\(905\) | 1.93390e9 | − | 3.40998e8i | 2.60908 | − | 0.460052i | ||||
\(906\) | 2.48253e8 | + | 3.39362e8i | 0.333818 | + | 0.456329i | ||||
\(907\) | 5.63036e8 | + | 4.72443e8i | 0.754595 | + | 0.633181i | 0.936714 | − | 0.350096i | \(-0.113851\pi\) |
−0.182118 | + | 0.983277i | \(0.558295\pi\) | |||||||
\(908\) | −7.37075e7 | + | 4.25551e7i | −0.0984588 | + | 0.0568452i | ||||
\(909\) | 2.56878e8 | + | 1.17098e9i | 0.342007 | + | 1.55904i | ||||
\(910\) | 4.56703e8 | − | 7.91032e8i | 0.606051 | − | 1.04971i | ||||
\(911\) | 1.76524e8 | + | 4.84995e8i | 0.233479 | + | 0.641479i | 1.00000 | 0.000741119i | \(-0.000235906\pi\) | |
−0.766521 | + | 0.642220i | \(0.778014\pi\) | |||||||
\(912\) | 1.56612e7 | − | 4.54599e6i | 0.0206462 | − | 0.00599300i | ||||
\(913\) | 7.55690e7 | − | 6.34099e7i | 0.0992959 | − | 0.0833191i | ||||
\(914\) | 1.96777e8 | − | 5.40642e8i | 0.257713 | − | 0.708061i | ||||
\(915\) | 1.37974e9 | + | 9.24127e8i | 1.80109 | + | 1.20634i | ||||
\(916\) | −6.69033e7 | + | 3.79428e8i | −0.0870485 | + | 0.493676i | ||||
\(917\) | − | 1.25928e8i | − | 0.163311i | ||||||
\(918\) | −1.13859e9 | + | 1.71374e8i | −1.47177 | + | 0.221522i | ||||
\(919\) | −2.27188e8 | −0.292711 | −0.146355 | − | 0.989232i | \(-0.546754\pi\) | ||||
−0.146355 | + | 0.989232i | \(0.546754\pi\) | |||||||
\(920\) | −1.46184e9 | − | 2.57761e8i | −1.87731 | − | 0.331020i | ||||
\(921\) | 2.95582e8 | + | 6.01059e8i | 0.378355 | + | 0.769375i | ||||
\(922\) | 7.44406e8 | + | 2.70942e8i | 0.949768 | + | 0.345687i | ||||
\(923\) | 1.33053e7 | + | 1.58567e7i | 0.0169208 | + | 0.0201654i | ||||
\(924\) | 3.42776e8 | − | 3.57275e8i | 0.434504 | − | 0.452883i | ||||
\(925\) | −1.31994e9 | + | 4.80419e8i | −1.66774 | + | 0.607009i | ||||
\(926\) | 5.10047e8 | + | 2.94476e8i | 0.642358 | + | 0.370866i | ||||
\(927\) | −3.48790e8 | + | 2.21119e8i | −0.437850 | + | 0.277579i | ||||
\(928\) | 2.56470e7 | + | 4.44219e7i | 0.0320917 | + | 0.0555845i | ||||
\(929\) | −4.55586e7 | + | 5.42946e7i | −0.0568229 | + | 0.0677189i | −0.793707 | − | 0.608300i | \(-0.791852\pi\) |
0.736884 | + | 0.676019i | \(0.236296\pi\) | |||||||
\(930\) | −5.96324e7 | − | 5.50131e8i | −0.0741368 | − | 0.683939i | ||||
\(931\) | −2.56962e6 | − | 1.45730e7i | −0.00318434 | − | 0.0180593i | ||||
\(932\) | 3.19396e8 | − | 5.63182e7i | 0.394532 | − | 0.0695667i | ||||
\(933\) | 1.19265e9 | − | 1.29280e8i | 1.46848 | − | 0.159179i | ||||
\(934\) | 8.26114e8 | + | 6.93192e8i | 1.01391 | + | 0.850771i | ||||
\(935\) | 1.47527e9 | − | 8.51747e8i | 1.80483 | − | 1.04202i | ||||
\(936\) | −1.10470e8 | + | 2.11068e8i | −0.134715 | + | 0.257392i | ||||
\(937\) | −3.78328e8 | + | 6.55284e8i | −0.459886 | + | 0.796545i | −0.998954 | − | 0.0457164i | \(-0.985443\pi\) |
0.539069 | + | 0.842262i | \(0.318776\pi\) | |||||||
\(938\) | −1.05661e8 | − | 2.90302e8i | −0.128029 | − | 0.351756i | ||||
\(939\) | −9.54341e8 | − | 9.15611e8i | −1.15267 | − | 1.10590i | ||||
\(940\) | 3.10210e8 | − | 2.60297e8i | 0.373484 | − | 0.313390i | ||||
\(941\) | 3.68526e8 | − | 1.01252e9i | 0.442282 | − | 1.21516i | −0.495706 | − | 0.868490i | \(-0.665091\pi\) |
0.937988 | − | 0.346668i | \(-0.112687\pi\) | |||||||
\(942\) | −1.21941e9 | + | 5.99666e8i | −1.45880 | + | 0.717392i | ||||
\(943\) | −2.06258e8 | + | 1.16975e9i | −0.245966 | + | 1.39494i | ||||
\(944\) | 1.05383e9i | 1.25272i | ||||||||
\(945\) | −1.50140e9 | − | 1.32555e9i | −1.77910 | − | 1.57072i | ||||
\(946\) | −6.88951e8 | −0.813794 | ||||||||
\(947\) | −2.23337e8 | − | 3.93803e7i | −0.262973 | − | 0.0463692i | 0.0406071 | − | 0.999175i | \(-0.487071\pi\) |
−0.303580 | + | 0.952806i | \(0.598182\pi\) | |||||||
\(948\) | 3.34800e7 | − | 4.99864e7i | 0.0392971 | − | 0.0586714i | ||||
\(949\) | 4.38057e6 | + | 1.59440e6i | 0.00512545 | + | 0.00186551i | ||||
\(950\) | −1.97056e7 | − | 2.34842e7i | −0.0229836 | − | 0.0273908i | ||||
\(951\) | 3.38148e7 | + | 1.16494e8i | 0.0393156 | + | 0.135444i | ||||
\(952\) | 9.85692e8 | − | 3.58762e8i | 1.14243 | − | 0.415811i | ||||
\(953\) | −1.31937e9 | − | 7.61739e8i | −1.52436 | − | 0.880091i | −0.999584 | − | 0.0288519i | \(-0.990815\pi\) |
−0.524778 | − | 0.851239i | \(-0.675852\pi\) | |||||||
\(954\) | 4.45086e8 | − | 1.40080e9i | 0.512624 | − | 1.61336i | ||||
\(955\) | 8.41958e8 | + | 1.45831e9i | 0.966674 | + | 1.67433i | ||||
\(956\) | −3.51234e8 | + | 4.18585e8i | −0.401997 | + | 0.479082i | ||||
\(957\) | −5.68686e7 | + | 4.16010e7i | −0.0648839 | + | 0.0474644i | ||||
\(958\) | −2.27755e8 | − | 1.29166e9i | −0.259043 | − | 1.46910i | ||||
\(959\) | −4.69841e7 | + | 8.28457e6i | −0.0532716 | + | 0.00939321i | ||||
\(960\) | −1.63618e8 | + | 3.70736e8i | −0.184934 | + | 0.419035i | ||||
\(961\) | −5.97553e8 | − | 5.01406e8i | −0.673296 | − | 0.564962i | ||||
\(962\) | 4.03677e8 | − | 2.33063e8i | 0.453428 | − | 0.261787i | ||||
\(963\) | 1.36421e8 | − | 1.01877e9i | 0.152757 | − | 1.14077i | ||||
\(964\) | −7.58553e7 | + | 1.31385e8i | −0.0846750 | + | 0.146661i | ||||
\(965\) | 8.63239e7 | + | 2.37173e8i | 0.0960614 | + | 0.263927i | ||||
\(966\) | −6.26745e8 | + | 2.54906e9i | −0.695280 | + | 2.82780i | ||||
\(967\) | −2.53850e8 | + | 2.13005e8i | −0.280735 | + | 0.235565i | −0.772272 | − | 0.635292i | \(-0.780880\pi\) |
0.491537 | + | 0.870857i | \(0.336435\pi\) | |||||||
\(968\) | 5.78146e6 | − | 1.58844e7i | 0.00637399 | − | 0.0175124i | ||||
\(969\) | 1.29973e6 | − | 1.94989e7i | 0.00142850 | − | 0.0214309i | ||||
\(970\) | 6.66552e7 | − | 3.78020e8i | 0.0730329 | − | 0.414190i | ||||
\(971\) | 6.86482e8i | 0.749845i | 0.927056 | + | 0.374922i | \(0.122331\pi\) | ||||
−0.927056 | + | 0.374922i | \(0.877669\pi\) | |||||||
\(972\) | −3.07430e8 | − | 2.49552e8i | −0.334771 | − | 0.271745i | ||||
\(973\) | −1.74545e9 | −1.89482 | ||||||||
\(974\) | −9.26679e8 | − | 1.63399e8i | −1.00289 | − | 0.176836i | ||||
\(975\) | 6.83529e8 | + | 4.55615e7i | 0.737468 | + | 0.0491569i | ||||
\(976\) | −1.42701e9 | − | 5.19388e8i | −1.53489 | − | 0.558653i | ||||
\(977\) | −1.02868e9 | − | 1.22593e9i | −1.10305 | − | 1.31456i | −0.944978 | − | 0.327135i | \(-0.893917\pi\) |
−0.158071 | − | 0.987428i | \(-0.550528\pi\) | |||||||
\(978\) | 8.16489e8 | + | 2.00753e8i | 0.872838 | + | 0.214607i | ||||
\(979\) | 1.73407e8 | − | 6.31149e7i | 0.184807 | − | 0.0672642i | ||||
\(980\) | −6.16956e8 | − | 3.56199e8i | −0.655504 | − | 0.378456i | ||||
\(981\) | −4.59099e8 | − | 6.14769e7i | −0.486295 | − | 0.0651185i | ||||
\(982\) | −2.99106e7 | − | 5.18066e7i | −0.0315857 | − | 0.0547080i | ||||
\(983\) | 8.76617e8 | − | 1.04471e9i | 0.922889 | − | 1.09986i | −0.0718506 | − | 0.997415i | \(-0.522890\pi\) |
0.994739 | − | 0.102440i | \(-0.0326651\pi\) | |||||||
\(984\) | 4.95663e8 | + | 2.18753e8i | 0.520237 | + | 0.229598i | ||||
\(985\) | −1.98160e8 | − | 1.12382e9i | −0.207351 | − | 1.17595i | ||||
\(986\) | 1.11437e8 | − | 1.96494e7i | 0.116252 | − | 0.0204983i | ||||
\(987\) | 5.57766e8 | + | 7.62467e8i | 0.580097 | + | 0.792993i | ||||
\(988\) | 2.34788e6 | + | 1.97010e6i | 0.00243447 | + | 0.00204276i | ||||
\(989\) | 9.53020e8 | − | 5.50226e8i | 0.985175 | − | 0.568791i | ||||
\(990\) | 1.85317e9 | + | 5.88820e8i | 1.90990 | + | 0.606844i | ||||
\(991\) | 2.88959e8 | − | 5.00491e8i | 0.296903 | − | 0.514252i | −0.678523 | − | 0.734580i | \(-0.737379\pi\) |
0.975426 | + | 0.220328i | \(0.0707128\pi\) | |||||||
\(992\) | 9.40140e7 | + | 2.58301e8i | 0.0963069 | + | 0.264601i | ||||
\(993\) | 1.19453e9 | − | 3.46739e8i | 1.21997 | − | 0.354124i | ||||
\(994\) | 7.96951e7 | − | 6.68721e7i | 0.0811470 | − | 0.0680904i | ||||
\(995\) | −9.52572e8 | + | 2.61717e9i | −0.967004 | + | 2.65682i | ||||
\(996\) | −4.52660e7 | − | 3.03184e7i | −0.0458136 | − | 0.0306851i | ||||
\(997\) | −1.37662e8 | + | 7.80719e8i | −0.138908 | + | 0.787788i | 0.833150 | + | 0.553047i | \(0.186535\pi\) |
−0.972058 | + | 0.234741i | \(0.924576\pi\) | |||||||
\(998\) | − | 3.52717e8i | − | 0.354841i | ||||||
\(999\) | −3.25315e8 | − | 9.68915e8i | −0.326293 | − | 0.971828i |
(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 | 27.7.f.a.2.5 | ✓ | 102 | |
3.2 | odd | 2 | 81.7.f.a.8.13 | 102 | |||
27.13 | even | 9 | 81.7.f.a.71.13 | 102 | |||
27.14 | odd | 18 | inner | 27.7.f.a.14.5 | yes | 102 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.7.f.a.2.5 | ✓ | 102 | 1.1 | even | 1 | trivial | |
27.7.f.a.14.5 | yes | 102 | 27.14 | odd | 18 | inner | |
81.7.f.a.8.13 | 102 | 3.2 | odd | 2 | |||
81.7.f.a.71.13 | 102 | 27.13 | even | 9 |