Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,9,Mod(2,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([9]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.2");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.f (of order \(14\), 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: | \(17.5172802326\) |
Analytic rank: | \(0\) |
Dimension: | \(174\) |
Relative dimension: | \(29\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 22.11 | ||
Character | \(\chi\) | \(=\) | 43.22 |
Dual form | 43.9.f.a.2.11 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{5}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −5.04009 | + | 10.4659i | −0.315006 | + | 0.654116i | −0.997013 | − | 0.0772290i | \(-0.975393\pi\) |
0.682008 | + | 0.731345i | \(0.261107\pi\) | |||||||
\(3\) | −24.0340 | − | 49.9071i | −0.296716 | − | 0.616136i | 0.698306 | − | 0.715800i | \(-0.253938\pi\) |
−0.995021 | + | 0.0996633i | \(0.968223\pi\) | |||||||
\(4\) | 75.4818 | + | 94.6511i | 0.294851 | + | 0.369731i | ||||
\(5\) | 11.0383 | − | 2.51943i | 0.0176613 | − | 0.00403109i | −0.213681 | − | 0.976903i | \(-0.568545\pi\) |
0.231342 | + | 0.972872i | \(0.425688\pi\) | |||||||
\(6\) | 643.453 | 0.496492 | ||||||||
\(7\) | 674.726i | 0.281019i | 0.990079 | + | 0.140509i | \(0.0448740\pi\) | ||||
−0.990079 | + | 0.140509i | \(0.955126\pi\) | |||||||
\(8\) | −4270.24 | + | 974.653i | −1.04254 | + | 0.237952i | ||||
\(9\) | 2177.63 | − | 2730.67i | 0.331906 | − | 0.416197i | ||||
\(10\) | −29.2663 | + | 128.224i | −0.00292663 | + | 0.0128224i | ||||
\(11\) | 11361.9 | − | 14247.3i | 0.776031 | − | 0.973112i | −0.223968 | − | 0.974596i | \(-0.571901\pi\) |
0.999999 | + | 0.00148488i | \(0.000472653\pi\) | |||||||
\(12\) | 2909.63 | − | 6041.92i | 0.140318 | − | 0.291373i | ||||
\(13\) | 7866.45 | + | 34465.2i | 0.275426 | + | 1.20672i | 0.903507 | + | 0.428574i | \(0.140984\pi\) |
−0.628080 | + | 0.778148i | \(0.716159\pi\) | |||||||
\(14\) | −7061.58 | − | 3400.68i | −0.183819 | − | 0.0885225i | ||||
\(15\) | −391.032 | − | 490.339i | −0.00772410 | − | 0.00968571i | ||||
\(16\) | 4425.37 | − | 19388.8i | 0.0675258 | − | 0.295850i | ||||
\(17\) | −28127.5 | + | 123235.i | −0.336772 | + | 1.47549i | 0.468963 | + | 0.883218i | \(0.344628\pi\) |
−0.805735 | + | 0.592276i | \(0.798230\pi\) | |||||||
\(18\) | 17603.3 | + | 36553.6i | 0.167689 | + | 0.348209i | ||||
\(19\) | 39450.9 | − | 31461.1i | 0.302721 | − | 0.241412i | −0.460333 | − | 0.887746i | \(-0.652270\pi\) |
0.763055 | + | 0.646334i | \(0.223699\pi\) | |||||||
\(20\) | 1071.66 | + | 854.621i | 0.00669788 | + | 0.00534138i | ||||
\(21\) | 33673.6 | − | 16216.3i | 0.173146 | − | 0.0833826i | ||||
\(22\) | 91845.6 | + | 190719.i | 0.392074 | + | 0.814150i | ||||
\(23\) | −113128. | + | 141859.i | −0.404259 | + | 0.506925i | −0.941736 | − | 0.336353i | \(-0.890806\pi\) |
0.537476 | + | 0.843279i | \(0.319378\pi\) | |||||||
\(24\) | 151273. | + | 189690.i | 0.455949 | + | 0.571741i | ||||
\(25\) | −351825. | + | 169430.i | −0.900673 | + | 0.433741i | ||||
\(26\) | −400355. | − | 91378.5i | −0.876097 | − | 0.199963i | ||||
\(27\) | −542936. | − | 123922.i | −1.02163 | − | 0.233180i | ||||
\(28\) | −63863.6 | + | 50929.5i | −0.103901 | + | 0.0828585i | ||||
\(29\) | −453185. | + | 941048.i | −0.640742 | + | 1.33051i | 0.287229 | + | 0.957862i | \(0.407266\pi\) |
−0.927971 | + | 0.372653i | \(0.878448\pi\) | |||||||
\(30\) | 7102.66 | − | 1621.14i | 0.00876871 | − | 0.00200140i | ||||
\(31\) | 1.19527e6 | + | 575614.i | 1.29426 | + | 0.623282i | 0.949015 | − | 0.315231i | \(-0.102082\pi\) |
0.345243 | + | 0.938513i | \(0.387796\pi\) | |||||||
\(32\) | −696046. | − | 555078.i | −0.663801 | − | 0.529364i | ||||
\(33\) | −984113. | − | 224617.i | −0.829830 | − | 0.189403i | ||||
\(34\) | −1.14799e6 | − | 915493.i | −0.859059 | − | 0.685077i | ||||
\(35\) | 1699.92 | + | 7447.85i | 0.00113281 | + | 0.00496317i | ||||
\(36\) | 422832. | 0.251743 | ||||||||
\(37\) | 2.38635e6i | 1.27329i | 0.771156 | + | 0.636646i | \(0.219679\pi\) | ||||
−0.771156 | + | 0.636646i | \(0.780321\pi\) | |||||||
\(38\) | 130431. | + | 571454.i | 0.0625526 | + | 0.274061i | ||||
\(39\) | 1.53099e6 | − | 1.22093e6i | 0.661782 | − | 0.527754i | ||||
\(40\) | −44680.7 | + | 21517.1i | −0.0174534 | + | 0.00840512i | ||||
\(41\) | 3.16692e6 | + | 1.52511e6i | 1.12073 | + | 0.539715i | 0.900118 | − | 0.435646i | \(-0.143480\pi\) |
0.220613 | + | 0.975361i | \(0.429194\pi\) | |||||||
\(42\) | 434155.i | 0.139523i | ||||||||
\(43\) | −326137. | + | 3.40321e6i | −0.0953950 | + | 0.995439i | ||||
\(44\) | 2.20614e6 | 0.588603 | ||||||||
\(45\) | 17157.7 | − | 35628.4i | 0.00418418 | − | 0.00868854i | ||||
\(46\) | −914493. | − | 1.89896e6i | −0.204244 | − | 0.424117i | ||||
\(47\) | −3.57668e6 | − | 4.48501e6i | −0.732973 | − | 0.919119i | 0.266021 | − | 0.963967i | \(-0.414291\pi\) |
−0.998994 | + | 0.0448481i | \(0.985720\pi\) | |||||||
\(48\) | −1.07400e6 | + | 245133.i | −0.202320 | + | 0.0461782i | ||||
\(49\) | 5.30955e6 | 0.921029 | ||||||||
\(50\) | − | 4.53610e6i | − | 0.725776i | ||||||
\(51\) | 6.82630e6 | − | 1.55806e6i | 1.00903 | − | 0.230305i | ||||
\(52\) | −2.66840e6 | + | 3.34606e6i | −0.364953 | + | 0.457636i | ||||
\(53\) | 1.78170e6 | − | 7.80614e6i | 0.225804 | − | 0.989311i | −0.727217 | − | 0.686407i | \(-0.759187\pi\) |
0.953021 | − | 0.302904i | \(-0.0979560\pi\) | |||||||
\(54\) | 4.03339e6 | − | 5.05771e6i | 0.474346 | − | 0.594811i | ||||
\(55\) | 89521.0 | − | 185892.i | 0.00978305 | − | 0.0203147i | ||||
\(56\) | −657624. | − | 2.88124e6i | −0.0668691 | − | 0.292973i | ||||
\(57\) | −2.51829e6 | − | 1.21275e6i | −0.238565 | − | 0.114887i | ||||
\(58\) | −7.56478e6 | − | 9.48593e6i | −0.668474 | − | 0.838239i | ||||
\(59\) | −1.78551e6 | + | 7.82283e6i | −0.147351 | + | 0.645589i | 0.846264 | + | 0.532765i | \(0.178847\pi\) |
−0.993615 | + | 0.112824i | \(0.964010\pi\) | |||||||
\(60\) | 16895.3 | − | 74023.3i | 0.00130365 | − | 0.00571168i | ||||
\(61\) | −8.28638e6 | − | 1.72069e7i | −0.598475 | − | 1.24275i | −0.951649 | − | 0.307188i | \(-0.900612\pi\) |
0.353174 | − | 0.935558i | \(-0.385102\pi\) | |||||||
\(62\) | −1.20486e7 | + | 9.60842e6i | −0.815397 | + | 0.650258i | ||||
\(63\) | 1.84245e6 | + | 1.46931e6i | 0.116959 | + | 0.0932717i | ||||
\(64\) | 1.39045e7 | − | 6.69606e6i | 0.828773 | − | 0.399116i | ||||
\(65\) | 173665. | + | 360620.i | 0.00972880 | + | 0.0202021i | ||||
\(66\) | 7.31083e6 | − | 9.16749e6i | 0.385293 | − | 0.483142i | ||||
\(67\) | 6.68407e6 | + | 8.38155e6i | 0.331697 | + | 0.415935i | 0.919513 | − | 0.393060i | \(-0.128583\pi\) |
−0.587816 | + | 0.808995i | \(0.700012\pi\) | |||||||
\(68\) | −1.37874e7 | + | 6.63967e6i | −0.644833 | + | 0.310535i | ||||
\(69\) | 9.79866e6 | + | 2.23648e6i | 0.432285 | + | 0.0986663i | ||||
\(70\) | −86515.9 | − | 19746.7i | −0.00360333 | − | 0.000822436i | ||||
\(71\) | −724001. | + | 577372.i | −0.0284909 | + | 0.0227207i | −0.637632 | − | 0.770341i | \(-0.720086\pi\) |
0.609141 | + | 0.793062i | \(0.291514\pi\) | |||||||
\(72\) | −6.63756e6 | + | 1.37830e7i | −0.246989 | + | 0.512879i | ||||
\(73\) | 3.06823e7 | − | 7.00305e6i | 1.08043 | − | 0.246601i | 0.354979 | − | 0.934874i | \(-0.384488\pi\) |
0.725452 | + | 0.688273i | \(0.241631\pi\) | |||||||
\(74\) | −2.49752e7 | − | 1.20274e7i | −0.832881 | − | 0.401094i | ||||
\(75\) | 1.69115e7 | + | 1.34865e7i | 0.534488 | + | 0.426240i | ||||
\(76\) | 5.95565e6 | + | 1.35934e6i | 0.178515 | + | 0.0407449i | ||||
\(77\) | 9.61304e6 | + | 7.66614e6i | 0.273462 | + | 0.218079i | ||||
\(78\) | 5.06170e6 | + | 2.21767e7i | 0.136747 | + | 0.599128i | ||||
\(79\) | −6.41156e7 | −1.64610 | −0.823049 | − | 0.567971i | \(-0.807729\pi\) | ||||
−0.823049 | + | 0.567971i | \(0.807729\pi\) | |||||||
\(80\) | − | 225170.i | − | 0.00549731i | ||||||
\(81\) | 1.76521e6 | + | 7.73389e6i | 0.0410069 | + | 0.179663i | ||||
\(82\) | −3.19231e7 | + | 2.54578e7i | −0.706073 | + | 0.563074i | ||||
\(83\) | 6.76139e7 | − | 3.25612e7i | 1.42470 | − | 0.686100i | 0.446697 | − | 0.894685i | \(-0.352600\pi\) |
0.978004 | + | 0.208585i | \(0.0668859\pi\) | |||||||
\(84\) | 4.07664e6 | + | 1.96320e6i | 0.0818813 | + | 0.0394320i | ||||
\(85\) | 1.43117e6i | 0.0274168i | ||||||||
\(86\) | −3.39737e7 | − | 2.05658e7i | −0.621083 | − | 0.375968i | ||||
\(87\) | 5.78568e7 | 1.00990 | ||||||||
\(88\) | −3.46316e7 | + | 7.19133e7i | −0.577487 | + | 1.19916i | ||||
\(89\) | 7.71418e6 | + | 1.60187e7i | 0.122950 | + | 0.255309i | 0.953355 | − | 0.301852i | \(-0.0976049\pi\) |
−0.830404 | + | 0.557161i | \(0.811891\pi\) | |||||||
\(90\) | 286405. | + | 359141.i | 0.00436527 | + | 0.00547388i | ||||
\(91\) | −2.32545e7 | + | 5.30770e6i | −0.339111 | + | 0.0774000i | ||||
\(92\) | −2.19662e7 | −0.306622 | ||||||||
\(93\) | − | 7.34869e7i | − | 0.982377i | ||||||
\(94\) | 6.49662e7 | − | 1.48281e7i | 0.832101 | − | 0.189922i | ||||
\(95\) | 356209. | − | 446672.i | 0.00437331 | − | 0.00548396i | ||||
\(96\) | −1.09736e7 | + | 4.80783e7i | −0.129200 | + | 0.566063i | ||||
\(97\) | −9.66526e7 | + | 1.21198e8i | −1.09176 | + | 1.36902i | −0.168115 | + | 0.985767i | \(0.553768\pi\) |
−0.923643 | + | 0.383254i | \(0.874803\pi\) | |||||||
\(98\) | −2.67606e7 | + | 5.55689e7i | −0.290129 | + | 0.602459i | ||||
\(99\) | −1.41627e7 | − | 6.20509e7i | −0.147437 | − | 0.645963i | ||||
\(100\) | −4.25932e7 | − | 2.05118e7i | −0.425932 | − | 0.205118i | ||||
\(101\) | 3.67074e7 | + | 4.60296e7i | 0.352751 | + | 0.442335i | 0.926272 | − | 0.376855i | \(-0.122995\pi\) |
−0.573522 | + | 0.819190i | \(0.694423\pi\) | |||||||
\(102\) | −1.80987e7 | + | 7.92958e7i | −0.167204 | + | 0.732571i | ||||
\(103\) | −2.78152e7 | + | 1.21866e8i | −0.247134 | + | 1.08277i | 0.687228 | + | 0.726442i | \(0.258827\pi\) |
−0.934362 | + | 0.356324i | \(0.884030\pi\) | |||||||
\(104\) | −6.71832e7 | − | 1.39507e8i | −0.574285 | − | 1.19251i | ||||
\(105\) | 330845. | − | 263840.i | 0.00272187 | − | 0.00217062i | ||||
\(106\) | 7.27180e7 | + | 5.79907e7i | 0.575995 | + | 0.459340i | ||||
\(107\) | 1.61315e8 | − | 7.76854e7i | 1.23067 | − | 0.592658i | 0.298404 | − | 0.954440i | \(-0.403546\pi\) |
0.932263 | + | 0.361782i | \(0.117831\pi\) | |||||||
\(108\) | −2.92524e7 | − | 6.07433e7i | −0.215014 | − | 0.446482i | ||||
\(109\) | 2.90827e7 | − | 3.64686e7i | 0.206029 | − | 0.258353i | −0.668071 | − | 0.744097i | \(-0.732880\pi\) |
0.874101 | + | 0.485744i | \(0.161451\pi\) | |||||||
\(110\) | 1.49433e6 | + | 1.87383e6i | 0.0102065 | + | 0.0127985i | ||||
\(111\) | 1.19096e8 | − | 5.73536e7i | 0.784522 | − | 0.377806i | ||||
\(112\) | 1.30821e7 | + | 2.98591e6i | 0.0831394 | + | 0.0189760i | ||||
\(113\) | −2.56644e8 | − | 5.85773e7i | −1.57404 | − | 0.359265i | −0.655692 | − | 0.755029i | \(-0.727623\pi\) |
−0.918353 | + | 0.395763i | \(0.870480\pi\) | |||||||
\(114\) | 2.53848e7 | − | 2.02437e7i | 0.150299 | − | 0.119859i | ||||
\(115\) | −891347. | + | 1.85090e6i | −0.00509631 | + | 0.0105826i | ||||
\(116\) | −1.23278e8 | + | 2.81375e7i | −0.680856 | + | 0.155401i | ||||
\(117\) | 1.11243e8 | + | 5.35719e7i | 0.593649 | + | 0.285886i | ||||
\(118\) | −7.28735e7 | − | 5.81147e7i | −0.375873 | − | 0.299749i | ||||
\(119\) | −8.31496e7 | − | 1.89784e7i | −0.414641 | − | 0.0946392i | ||||
\(120\) | 2.14771e6 | + | 1.71274e6i | 0.0103574 | + | 0.00825975i | ||||
\(121\) | −2.61950e7 | − | 1.14768e8i | −0.122202 | − | 0.535401i | ||||
\(122\) | 2.21849e8 | 1.00142 | ||||||||
\(123\) | − | 1.94706e8i | − | 0.850665i | ||||||
\(124\) | 3.57389e7 | + | 1.56582e8i | 0.151166 | + | 0.662302i | ||||
\(125\) | −6.91454e6 | + | 5.51416e6i | −0.0283220 | + | 0.0225860i | ||||
\(126\) | −2.46637e7 | + | 1.18774e7i | −0.0978533 | + | 0.0471237i | ||||
\(127\) | 7.34245e7 | + | 3.53594e7i | 0.282245 | + | 0.135922i | 0.569651 | − | 0.821887i | \(-0.307079\pi\) |
−0.287406 | + | 0.957809i | \(0.592793\pi\) | |||||||
\(128\) | − | 4.86395e7i | − | 0.181196i | ||||||
\(129\) | 1.77683e8 | − | 6.55161e7i | 0.641632 | − | 0.236586i | ||||
\(130\) | −4.64948e6 | −0.0162791 | ||||||||
\(131\) | 1.97250e8 | − | 4.09593e8i | 0.669779 | − | 1.39081i | −0.237961 | − | 0.971275i | \(-0.576479\pi\) |
0.907739 | − | 0.419535i | \(-0.137807\pi\) | |||||||
\(132\) | −5.30223e7 | − | 1.10102e8i | −0.174648 | − | 0.362660i | ||||
\(133\) | 2.12276e7 | + | 2.66186e7i | 0.0678413 | + | 0.0850703i | ||||
\(134\) | −1.21408e8 | + | 2.77107e7i | −0.376556 | + | 0.0859465i | ||||
\(135\) | −6.30532e6 | −0.0189833 | ||||||||
\(136\) | − | 5.53656e8i | − | 1.61839i | ||||||
\(137\) | 5.51852e8 | − | 1.25957e8i | 1.56654 | − | 0.357552i | 0.650774 | − | 0.759271i | \(-0.274444\pi\) |
0.915763 | + | 0.401720i | \(0.131587\pi\) | |||||||
\(138\) | −7.27928e7 | + | 9.12793e7i | −0.200712 | + | 0.251684i | ||||
\(139\) | −1.83142e7 | + | 8.02399e7i | −0.0490602 | + | 0.214947i | −0.993516 | − | 0.113691i | \(-0.963733\pi\) |
0.944456 | + | 0.328638i | \(0.106590\pi\) | |||||||
\(140\) | −576635. | + | 723077.i | −0.00150103 | + | 0.00188223i | ||||
\(141\) | −1.37872e8 | + | 2.86294e8i | −0.348818 | + | 0.724329i | ||||
\(142\) | −2.39366e6 | − | 1.04873e7i | −0.00588720 | − | 0.0257935i | ||||
\(143\) | 5.80414e8 | + | 2.79513e8i | 1.38801 | + | 0.668433i | ||||
\(144\) | −4.33076e7 | − | 5.43060e7i | −0.100720 | − | 0.126298i | ||||
\(145\) | −2.63150e6 | + | 1.15294e7i | −0.00595295 | + | 0.0260816i | ||||
\(146\) | −8.13489e7 | + | 3.56413e8i | −0.179036 | + | 0.784408i | ||||
\(147\) | −1.27609e8 | − | 2.64984e8i | −0.273284 | − | 0.567479i | ||||
\(148\) | −2.25871e8 | + | 1.80126e8i | −0.470776 | + | 0.375431i | ||||
\(149\) | −3.95385e8 | − | 3.15309e8i | −0.802186 | − | 0.639722i | 0.134097 | − | 0.990968i | \(-0.457187\pi\) |
−0.936283 | + | 0.351246i | \(0.885758\pi\) | |||||||
\(150\) | −2.26383e8 | + | 1.09020e8i | −0.447177 | + | 0.215349i | ||||
\(151\) | 4.37758e7 | + | 9.09013e7i | 0.0842027 | + | 0.174849i | 0.938819 | − | 0.344412i | \(-0.111922\pi\) |
−0.854616 | + | 0.519261i | \(0.826207\pi\) | |||||||
\(152\) | −1.37801e8 | + | 1.72797e8i | −0.258154 | + | 0.323715i | ||||
\(153\) | 2.75261e8 | + | 3.45167e8i | 0.502319 | + | 0.629888i | ||||
\(154\) | −1.28683e8 | + | 6.19706e7i | −0.228791 | + | 0.110180i | ||||
\(155\) | 1.46441e7 | + | 3.34241e6i | 0.0253708 | + | 0.00579073i | ||||
\(156\) | 2.31124e8 | + | 5.27526e7i | 0.390254 | + | 0.0890729i | ||||
\(157\) | −4.36843e8 | + | 3.48371e8i | −0.718997 | + | 0.573381i | −0.913166 | − | 0.407587i | \(-0.866370\pi\) |
0.194169 | + | 0.980968i | \(0.437799\pi\) | |||||||
\(158\) | 3.23148e8 | − | 6.71025e8i | 0.518530 | − | 1.07674i | ||||
\(159\) | −4.32403e8 | + | 9.86931e7i | −0.676550 | + | 0.154418i | ||||
\(160\) | −9.08167e6 | − | 4.37350e6i | −0.0138575 | − | 0.00667344i | ||||
\(161\) | −9.57156e7 | − | 7.63306e7i | −0.142455 | − | 0.113604i | ||||
\(162\) | −8.98387e7 | − | 2.05051e7i | −0.130438 | − | 0.0297716i | ||||
\(163\) | 7.60352e8 | + | 6.06361e8i | 1.07712 | + | 0.858975i | 0.990534 | − | 0.137269i | \(-0.0438326\pi\) |
0.0865868 | + | 0.996244i | \(0.472404\pi\) | |||||||
\(164\) | 9.46914e7 | + | 4.14870e8i | 0.130899 | + | 0.573504i | ||||
\(165\) | −1.14289e7 | −0.0154194 | ||||||||
\(166\) | 8.71749e8i | 1.14805i | ||||||||
\(167\) | −2.21563e8 | − | 9.70732e8i | −0.284860 | − | 1.24805i | −0.891479 | − | 0.453061i | \(-0.850332\pi\) |
0.606619 | − | 0.794993i | \(-0.292525\pi\) | |||||||
\(168\) | −1.27989e8 | + | 1.02068e8i | −0.160670 | + | 0.128130i | ||||
\(169\) | −3.91020e8 | + | 1.88305e8i | −0.479349 | + | 0.230842i | ||||
\(170\) | −1.49784e7 | − | 7.21324e6i | −0.0179337 | − | 0.00863643i | ||||
\(171\) | − | 1.76238e8i | − | 0.206118i | ||||||
\(172\) | −3.46735e8 | + | 2.26011e8i | −0.396172 | + | 0.258235i | ||||
\(173\) | −1.41396e9 | −1.57853 | −0.789264 | − | 0.614055i | \(-0.789537\pi\) | ||||
−0.789264 | + | 0.614055i | \(0.789537\pi\) | |||||||
\(174\) | −2.91603e8 | + | 6.05521e8i | −0.318123 | + | 0.660590i | ||||
\(175\) | −1.14319e8 | − | 2.37386e8i | −0.121889 | − | 0.253106i | ||||
\(176\) | −2.25958e8 | − | 2.83343e8i | −0.235493 | − | 0.295299i | ||||
\(177\) | 4.33328e8 | − | 9.89042e7i | 0.441492 | − | 0.100768i | ||||
\(178\) | −2.06529e8 | −0.205732 | ||||||||
\(179\) | 1.04127e9i | 1.01427i | 0.861867 | + | 0.507134i | \(0.169295\pi\) | ||||
−0.861867 | + | 0.507134i | \(0.830705\pi\) | |||||||
\(180\) | 4.66737e6 | − | 1.06530e6i | 0.00444613 | − | 0.00101480i | ||||
\(181\) | −5.73190e7 | + | 7.18757e7i | −0.0534052 | + | 0.0669681i | −0.807817 | − | 0.589434i | \(-0.799351\pi\) |
0.754412 | + | 0.656402i | \(0.227922\pi\) | |||||||
\(182\) | 6.16554e7 | − | 2.70130e8i | 0.0561935 | − | 0.246200i | ||||
\(183\) | −6.59589e8 | + | 8.27098e8i | −0.588124 | + | 0.737484i | ||||
\(184\) | 3.44822e8 | − | 7.16030e8i | 0.300832 | − | 0.624683i | ||||
\(185\) | 6.01225e6 | + | 2.63414e7i | 0.00513275 | + | 0.0224881i | ||||
\(186\) | 7.69103e8 | + | 3.70381e8i | 0.642589 | + | 0.309454i | ||||
\(187\) | 1.43618e9 | + | 1.80092e9i | 1.17447 | + | 1.47274i | ||||
\(188\) | 1.54537e8 | − | 6.77073e8i | 0.123709 | − | 0.542006i | ||||
\(189\) | 8.36131e7 | − | 3.66333e8i | 0.0655280 | − | 0.287097i | ||||
\(190\) | 2.87948e6 | + | 5.97930e6i | 0.00220953 | + | 0.00458813i | ||||
\(191\) | −3.63053e8 | + | 2.89525e8i | −0.272795 | + | 0.217547i | −0.750326 | − | 0.661068i | \(-0.770103\pi\) |
0.477531 | + | 0.878615i | \(0.341532\pi\) | |||||||
\(192\) | −6.68361e8 | − | 5.33000e8i | −0.491820 | − | 0.392213i | ||||
\(193\) | 1.20085e9 | − | 5.78300e8i | 0.865487 | − | 0.416796i | 0.0521841 | − | 0.998637i | \(-0.483382\pi\) |
0.813302 | + | 0.581841i | \(0.197667\pi\) | |||||||
\(194\) | −7.81308e8 | − | 1.62240e9i | −0.551589 | − | 1.14539i | ||||
\(195\) | 1.38236e7 | − | 1.73342e7i | 0.00956054 | − | 0.0119885i | ||||
\(196\) | 4.00774e8 | + | 5.02555e8i | 0.271566 | + | 0.340533i | ||||
\(197\) | 3.62541e8 | − | 1.74591e8i | 0.240709 | − | 0.115919i | −0.309641 | − | 0.950854i | \(-0.600209\pi\) |
0.550350 | + | 0.834934i | \(0.314494\pi\) | |||||||
\(198\) | 7.20797e8 | + | 1.64517e8i | 0.468978 | + | 0.107041i | ||||
\(199\) | −2.54109e8 | − | 5.79987e7i | −0.162035 | − | 0.0369833i | 0.140734 | − | 0.990047i | \(-0.455054\pi\) |
−0.302769 | + | 0.953064i | \(0.597911\pi\) | |||||||
\(200\) | 1.33724e9 | − | 1.06641e9i | 0.835776 | − | 0.666509i | ||||
\(201\) | 2.57654e8 | − | 5.35024e8i | 0.157853 | − | 0.327785i | ||||
\(202\) | −6.66748e8 | + | 1.52181e8i | −0.400457 | + | 0.0914017i | ||||
\(203\) | −6.34949e8 | − | 3.05775e8i | −0.373899 | − | 0.180061i | ||||
\(204\) | 6.62733e8 | + | 5.28512e8i | 0.382664 | + | 0.305165i | ||||
\(205\) | 3.87999e7 | + | 8.85583e6i | 0.0219693 | + | 0.00501434i | ||||
\(206\) | −1.13524e9 | − | 9.05326e8i | −0.630406 | − | 0.502732i | ||||
\(207\) | 1.41016e8 | + | 6.17832e8i | 0.0768046 | + | 0.336503i | ||||
\(208\) | 7.03052e8 | 0.375607 | ||||||||
\(209\) | − | 9.19527e8i | − | 0.481925i | ||||||
\(210\) | 1.09382e6 | + | 4.79235e6i | 0.000562431 | + | 0.00246417i | ||||
\(211\) | 2.10408e9 | − | 1.67795e9i | 1.06153 | − | 0.846541i | 0.0729635 | − | 0.997335i | \(-0.476754\pi\) |
0.988565 | + | 0.150794i | \(0.0481829\pi\) | |||||||
\(212\) | 8.73346e8 | − | 4.20581e8i | 0.432357 | − | 0.208212i | ||||
\(213\) | 4.62156e7 | + | 2.22562e7i | 0.0224528 | + | 0.0108127i | ||||
\(214\) | 2.07984e9i | 0.991689i | ||||||||
\(215\) | 4.97414e6 | + | 3.83875e7i | 0.00232790 | + | 0.0179653i | ||||
\(216\) | 2.43924e9 | 1.12057 | ||||||||
\(217\) | −3.88381e8 | + | 8.06482e8i | −0.175154 | + | 0.363711i | ||||
\(218\) | 2.35095e8 | + | 4.88181e8i | 0.104092 | + | 0.216150i | ||||
\(219\) | −1.08692e9 | − | 1.36295e9i | −0.472521 | − | 0.592523i | ||||
\(220\) | 2.43521e7 | − | 5.55821e6i | 0.0103955 | − | 0.00237271i | ||||
\(221\) | −4.46857e9 | −1.87327 | ||||||||
\(222\) | 1.53551e9i | 0.632179i | ||||||||
\(223\) | −1.17555e9 | + | 2.68311e8i | −0.475358 | + | 0.108497i | −0.453486 | − | 0.891263i | \(-0.649820\pi\) |
−0.0218719 | + | 0.999761i | \(0.506963\pi\) | |||||||
\(224\) | 3.74526e8 | − | 4.69640e8i | 0.148761 | − | 0.186541i | ||||
\(225\) | −3.03490e8 | + | 1.32968e9i | −0.118417 | + | 0.518819i | ||||
\(226\) | 1.90657e9 | − | 2.39076e9i | 0.730834 | − | 0.916437i | ||||
\(227\) | 1.31836e9 | − | 2.73759e9i | 0.496511 | − | 1.03102i | −0.490660 | − | 0.871351i | \(-0.663244\pi\) |
0.987171 | − | 0.159665i | \(-0.0510414\pi\) | |||||||
\(228\) | −7.52974e7 | − | 3.29899e8i | −0.0278638 | − | 0.122079i | ||||
\(229\) | −2.50331e9 | − | 1.20553e9i | −0.910274 | − | 0.438365i | −0.0806854 | − | 0.996740i | \(-0.525711\pi\) |
−0.829589 | + | 0.558375i | \(0.811425\pi\) | |||||||
\(230\) | −1.48788e7 | − | 1.86574e7i | −0.00531688 | − | 0.00666715i | ||||
\(231\) | 1.51555e8 | − | 6.64006e8i | 0.0532259 | − | 0.233198i | ||||
\(232\) | 1.01801e9 | − | 4.46019e9i | 0.351399 | − | 1.53958i | ||||
\(233\) | −5.52291e7 | − | 1.14684e8i | −0.0187389 | − | 0.0389117i | 0.891389 | − | 0.453238i | \(-0.149731\pi\) |
−0.910128 | + | 0.414327i | \(0.864017\pi\) | |||||||
\(234\) | −1.12135e9 | + | 8.94248e8i | −0.374006 | + | 0.298260i | ||||
\(235\) | −5.07802e7 | − | 4.04959e7i | −0.0166503 | − | 0.0132782i | ||||
\(236\) | −8.75214e8 | + | 4.21481e8i | −0.282141 | + | 0.135872i | ||||
\(237\) | 1.54095e9 | + | 3.19982e9i | 0.488423 | + | 1.01422i | ||||
\(238\) | 6.17706e8 | − | 7.74579e8i | 0.192519 | − | 0.241412i | ||||
\(239\) | −4.41643e8 | − | 5.53803e8i | −0.135357 | − | 0.169732i | 0.709533 | − | 0.704672i | \(-0.248906\pi\) |
−0.844890 | + | 0.534940i | \(0.820334\pi\) | |||||||
\(240\) | −1.12376e7 | + | 5.41173e6i | −0.00338709 | + | 0.00163114i | ||||
\(241\) | −1.82765e9 | − | 4.17149e8i | −0.541782 | − | 0.123658i | −0.0571324 | − | 0.998367i | \(-0.518196\pi\) |
−0.484650 | + | 0.874708i | \(0.661053\pi\) | |||||||
\(242\) | 1.33317e9 | + | 3.04287e8i | 0.388708 | + | 0.0887201i | ||||
\(243\) | −2.51311e9 | + | 2.00414e9i | −0.720754 | + | 0.574782i | ||||
\(244\) | 1.00318e9 | − | 2.08312e9i | 0.283021 | − | 0.587699i | ||||
\(245\) | 5.86086e7 | − | 1.33770e7i | 0.0162666 | − | 0.00371275i | ||||
\(246\) | 2.03776e9 | + | 9.81335e8i | 0.556434 | + | 0.267964i | ||||
\(247\) | 1.39465e9 | + | 1.11220e9i | 0.374695 | + | 0.298809i | ||||
\(248\) | −5.66513e9 | − | 1.29303e9i | −1.49762 | − | 0.341823i | ||||
\(249\) | −3.25006e9 | − | 2.59184e9i | −0.845463 | − | 0.674234i | ||||
\(250\) | −2.28605e7 | − | 1.00158e8i | −0.00585229 | − | 0.0256406i | ||||
\(251\) | 5.60453e8 | 0.141203 | 0.0706016 | − | 0.997505i | \(-0.477508\pi\) | ||||
0.0706016 | + | 0.997505i | \(0.477508\pi\) | |||||||
\(252\) | 2.85296e8i | 0.0707446i | ||||||||
\(253\) | 7.35755e8 | + | 3.22355e9i | 0.179577 | + | 0.786779i | ||||
\(254\) | −7.40132e8 | + | 5.90236e8i | −0.177817 | + | 0.141805i | ||||
\(255\) | 7.14256e7 | − | 3.43967e7i | 0.0168925 | − | 0.00813498i | ||||
\(256\) | 4.06861e9 | + | 1.95934e9i | 0.947296 | + | 0.456194i | ||||
\(257\) | 3.17588e8i | 0.0728001i | 0.999337 | + | 0.0364001i | \(0.0115891\pi\) | ||||
−0.999337 | + | 0.0364001i | \(0.988411\pi\) | |||||||
\(258\) | −2.09854e8 | + | 2.18981e9i | −0.0473628 | + | 0.494228i | ||||
\(259\) | −1.61013e9 | −0.357819 | ||||||||
\(260\) | −2.10245e7 | + | 4.36578e7i | −0.00460079 | + | 0.00955363i | ||||
\(261\) | 1.58282e9 | + | 3.28675e9i | 0.341090 | + | 0.708280i | ||||
\(262\) | 3.29259e9 | + | 4.12878e9i | 0.698767 | + | 0.876226i | ||||
\(263\) | −5.62497e9 | + | 1.28386e9i | −1.17570 | + | 0.268346i | −0.765370 | − | 0.643590i | \(-0.777444\pi\) |
−0.410331 | + | 0.911936i | \(0.634587\pi\) | |||||||
\(264\) | 4.42132e9 | 0.910198 | ||||||||
\(265\) | − | 9.06557e7i | − | 0.0183828i | ||||||
\(266\) | −3.85575e8 | + | 8.80050e7i | −0.0770162 | + | 0.0175785i | ||||
\(267\) | 6.14042e8 | − | 7.69984e8i | 0.120824 | − | 0.151508i | ||||
\(268\) | −2.88798e8 | + | 1.26531e9i | −0.0559829 | + | 0.245277i | ||||
\(269\) | 3.80521e9 | − | 4.77158e9i | 0.726724 | − | 0.911284i | −0.271973 | − | 0.962305i | \(-0.587676\pi\) |
0.998698 | + | 0.0510213i | \(0.0162476\pi\) | |||||||
\(270\) | 3.17794e7 | − | 6.59906e7i | 0.00597986 | − | 0.0124173i | ||||
\(271\) | 3.80577e8 | + | 1.66742e9i | 0.0705611 | + | 0.309148i | 0.997877 | − | 0.0651321i | \(-0.0207469\pi\) |
−0.927316 | + | 0.374280i | \(0.877890\pi\) | |||||||
\(272\) | 2.26490e9 | + | 1.09072e9i | 0.413784 | + | 0.199268i | ||||
\(273\) | 8.23791e8 | + | 1.03300e9i | 0.148309 | + | 0.185973i | ||||
\(274\) | −1.46314e9 | + | 6.41044e9i | −0.259588 | + | 1.13733i | ||||
\(275\) | −1.58347e9 | + | 6.93762e9i | −0.276871 | + | 1.21305i | ||||
\(276\) | 5.27935e8 | + | 1.09627e9i | 0.0909796 | + | 0.188921i | ||||
\(277\) | 3.03731e9 | − | 2.42218e9i | 0.515906 | − | 0.411421i | −0.330624 | − | 0.943763i | \(-0.607259\pi\) |
0.846530 | + | 0.532341i | \(0.178688\pi\) | |||||||
\(278\) | −7.47474e8 | − | 5.96090e8i | −0.125146 | − | 0.0998005i | ||||
\(279\) | 4.17468e9 | − | 2.01042e9i | 0.688980 | − | 0.331795i | ||||
\(280\) | −1.45181e7 | − | 3.01472e7i | −0.00236200 | − | 0.00490474i | ||||
\(281\) | 1.75622e9 | − | 2.20223e9i | 0.281678 | − | 0.353213i | −0.620785 | − | 0.783981i | \(-0.713186\pi\) |
0.902463 | + | 0.430768i | \(0.141757\pi\) | |||||||
\(282\) | −2.30142e9 | − | 2.88589e9i | −0.363915 | − | 0.456335i | ||||
\(283\) | −7.20006e9 | + | 3.46737e9i | −1.12251 | + | 0.540573i | −0.900667 | − | 0.434509i | \(-0.856922\pi\) |
−0.221844 | + | 0.975082i | \(0.571208\pi\) | |||||||
\(284\) | −1.09298e8 | − | 2.49465e7i | −0.0168011 | − | 0.00383475i | ||||
\(285\) | −3.08532e7 | − | 7.04204e6i | −0.00467650 | − | 0.00106738i | ||||
\(286\) | −5.85068e9 | + | 4.66576e9i | −0.874465 | + | 0.697362i | ||||
\(287\) | −1.02903e9 | + | 2.13680e9i | −0.151670 | + | 0.314946i | ||||
\(288\) | −3.03147e9 | + | 6.91913e8i | −0.440639 | + | 0.100573i | ||||
\(289\) | −8.11069e9 | − | 3.90590e9i | −1.16270 | − | 0.559925i | ||||
\(290\) | −1.07402e8 | − | 8.56500e7i | −0.0151852 | − | 0.0121098i | ||||
\(291\) | 8.37160e9 | + | 1.91076e9i | 1.16745 | + | 0.266462i | ||||
\(292\) | 2.97880e9 | + | 2.37552e9i | 0.409742 | + | 0.326758i | ||||
\(293\) | −1.83514e9 | − | 8.04025e9i | −0.248999 | − | 1.09094i | −0.932552 | − | 0.361035i | \(-0.882423\pi\) |
0.683553 | − | 0.729901i | \(-0.260434\pi\) | |||||||
\(294\) | 3.41645e9 | 0.457283 | ||||||||
\(295\) | 9.08496e7i | 0.0119960i | ||||||||
\(296\) | −2.32587e9 | − | 1.01903e10i | −0.302983 | − | 1.32746i | ||||
\(297\) | −7.93432e9 | + | 6.32741e9i | −1.01973 | + | 0.813205i | ||||
\(298\) | 5.29275e9 | − | 2.54886e9i | 0.671145 | − | 0.323207i | ||||
\(299\) | −5.77910e9 | − | 2.78307e9i | −0.723062 | − | 0.348208i | ||||
\(300\) | 2.61868e9i | 0.323294i | ||||||||
\(301\) | −2.29623e9 | − | 2.20053e8i | −0.279737 | − | 0.0268078i | ||||
\(302\) | −1.17199e9 | −0.140896 | ||||||||
\(303\) | 1.41498e9 | − | 2.93823e9i | 0.167872 | − | 0.348590i | ||||
\(304\) | −4.35408e8 | − | 9.04134e8i | −0.0509803 | − | 0.105862i | ||||
\(305\) | −1.34819e8 | − | 1.69058e8i | −0.0155795 | − | 0.0195361i | ||||
\(306\) | −4.99981e9 | + | 1.14117e9i | −0.570253 | + | 0.130157i | ||||
\(307\) | 9.46261e9 | 1.06526 | 0.532632 | − | 0.846347i | \(-0.321203\pi\) | ||||
0.532632 | + | 0.846347i | \(0.321203\pi\) | |||||||
\(308\) | 1.48854e9i | 0.165408i | ||||||||
\(309\) | 6.75049e9 | − | 1.54076e9i | 0.740460 | − | 0.169005i | ||||
\(310\) | −1.08789e8 | + | 1.36417e8i | −0.0117798 | + | 0.0147714i | ||||
\(311\) | 8.52209e8 | − | 3.73377e9i | 0.0910971 | − | 0.399123i | −0.908736 | − | 0.417371i | \(-0.862952\pi\) |
0.999833 | + | 0.0182480i | \(0.00580884\pi\) | |||||||
\(312\) | −5.34772e9 | + | 6.70583e9i | −0.564353 | + | 0.707676i | ||||
\(313\) | 4.70244e9 | − | 9.76472e9i | 0.489944 | − | 1.01738i | −0.498655 | − | 0.866801i | \(-0.666172\pi\) |
0.988598 | − | 0.150578i | \(-0.0481133\pi\) | |||||||
\(314\) | −1.44427e9 | − | 6.32776e9i | −0.148570 | − | 0.650926i | ||||
\(315\) | 2.40394e7 | + | 1.15768e7i | 0.00244164 | + | 0.00117583i | ||||
\(316\) | −4.83956e9 | − | 6.06862e9i | −0.485353 | − | 0.608613i | ||||
\(317\) | 1.35022e8 | − | 5.91569e8i | 0.0133711 | − | 0.0585826i | −0.967802 | − | 0.251712i | \(-0.919007\pi\) |
0.981173 | + | 0.193129i | \(0.0618636\pi\) | |||||||
\(318\) | 1.14644e9 | − | 5.02289e9i | 0.112110 | − | 0.491185i | ||||
\(319\) | 8.25839e9 | + | 1.71487e10i | 0.797504 | + | 1.65603i | ||||
\(320\) | 1.36612e8 | − | 1.08945e8i | 0.0130284 | − | 0.0103898i | ||||
\(321\) | −7.75410e9 | − | 6.18368e9i | −0.730316 | − | 0.582408i | ||||
\(322\) | 1.28128e9 | − | 6.17032e8i | 0.119185 | − | 0.0573964i | ||||
\(323\) | 2.76744e9 | + | 5.74664e9i | 0.254254 | + | 0.527964i | ||||
\(324\) | −5.98781e8 | + | 7.50847e8i | −0.0543360 | + | 0.0681352i | ||||
\(325\) | −8.60706e9 | − | 1.07929e10i | −0.771474 | − | 0.967398i | ||||
\(326\) | −1.01783e10 | + | 4.90162e9i | −0.901168 | + | 0.433980i | ||||
\(327\) | −2.51901e9 | − | 5.74948e8i | −0.220313 | − | 0.0502849i | ||||
\(328\) | −1.50099e10 | − | 3.42592e9i | −1.29683 | − | 0.295993i | ||||
\(329\) | 3.02615e9 | − | 2.41327e9i | 0.258290 | − | 0.205979i | ||||
\(330\) | 5.76026e7 | − | 1.19613e8i | 0.00485720 | − | 0.0100861i | ||||
\(331\) | 1.81992e10 | − | 4.15386e9i | 1.51615 | − | 0.346051i | 0.618153 | − | 0.786058i | \(-0.287881\pi\) |
0.897994 | + | 0.440007i | \(0.145024\pi\) | |||||||
\(332\) | 8.18557e9 | + | 3.94196e9i | 0.673747 | + | 0.324459i | ||||
\(333\) | 6.51634e9 | + | 5.19661e9i | 0.529940 | + | 0.422613i | ||||
\(334\) | 1.12762e10 | + | 2.57373e9i | 0.906105 | + | 0.206812i | ||||
\(335\) | 9.48977e7 | + | 7.56784e7i | 0.00753488 | + | 0.00600887i | ||||
\(336\) | −1.65398e8 | − | 7.24655e8i | −0.0129769 | − | 0.0568557i | ||||
\(337\) | 1.49717e10 | 1.16078 | 0.580392 | − | 0.814337i | \(-0.302899\pi\) | ||||
0.580392 | + | 0.814337i | \(0.302899\pi\) | |||||||
\(338\) | − | 5.04143e9i | − | 0.386267i | ||||||
\(339\) | 3.24475e9 | + | 1.42162e10i | 0.245687 | + | 1.07643i | ||||
\(340\) | −1.35462e8 | + | 1.08027e8i | −0.0101368 | + | 0.00808385i | ||||
\(341\) | 2.17815e10 | − | 1.04894e10i | 1.61091 | − | 0.775772i | ||||
\(342\) | 1.84448e9 | + | 8.88256e8i | 0.134825 | + | 0.0649282i | ||||
\(343\) | 7.47215e9i | 0.539845i | ||||||||
\(344\) | −1.92427e9 | − | 1.48504e10i | −0.137414 | − | 1.06048i | ||||
\(345\) | 1.13796e8 | 0.00803247 | ||||||||
\(346\) | 7.12648e9 | − | 1.47983e10i | 0.497245 | − | 1.03254i | ||||
\(347\) | −6.05515e9 | − | 1.25736e10i | −0.417645 | − | 0.867248i | −0.998579 | − | 0.0532976i | \(-0.983027\pi\) |
0.580934 | − | 0.813951i | \(-0.302687\pi\) | |||||||
\(348\) | 4.36713e9 | + | 5.47621e9i | 0.297769 | + | 0.373390i | ||||
\(349\) | −1.06492e10 | + | 2.43062e9i | −0.717822 | + | 0.163838i | −0.565804 | − | 0.824540i | \(-0.691434\pi\) |
−0.152018 | + | 0.988378i | \(0.548577\pi\) | |||||||
\(350\) | 3.06062e9 | 0.203957 | ||||||||
\(351\) | − | 1.96872e10i | − | 1.29705i | ||||||
\(352\) | −1.58168e10 | + | 3.61007e9i | −1.03026 | + | 0.235150i | ||||
\(353\) | −4.49689e9 | + | 5.63893e9i | −0.289610 | + | 0.363160i | −0.905258 | − | 0.424861i | \(-0.860323\pi\) |
0.615648 | + | 0.788021i | \(0.288894\pi\) | |||||||
\(354\) | −1.14889e9 | + | 5.03363e9i | −0.0731588 | + | 0.320530i | ||||
\(355\) | −6.53713e6 | + | 8.19730e6i | −0.000411598 | + | 0.000516128i | ||||
\(356\) | −9.33905e8 | + | 1.93927e9i | −0.0581437 | + | 0.120737i | ||||
\(357\) | 1.05126e9 | + | 4.60588e9i | 0.0647199 | + | 0.283557i | ||||
\(358\) | −1.08978e10 | − | 5.24811e9i | −0.663449 | − | 0.319500i | ||||
\(359\) | 7.21817e9 | + | 9.05129e9i | 0.434559 | + | 0.544920i | 0.950100 | − | 0.311945i | \(-0.100980\pi\) |
−0.515541 | + | 0.856865i | \(0.672409\pi\) | |||||||
\(360\) | −3.85422e7 | + | 1.68865e8i | −0.00229471 | + | 0.0100538i | ||||
\(361\) | −3.21262e9 | + | 1.40754e10i | −0.189161 | + | 0.828767i | ||||
\(362\) | −4.63348e8 | − | 9.62152e8i | −0.0269819 | − | 0.0560285i | ||||
\(363\) | −5.09816e9 | + | 4.06564e9i | −0.293621 | + | 0.234155i | ||||
\(364\) | −2.25767e9 | − | 1.80044e9i | −0.128604 | − | 0.102559i | ||||
\(365\) | 3.21039e8 | − | 1.54604e8i | 0.0180878 | − | 0.00871062i | ||||
\(366\) | −5.33190e9 | − | 1.10718e10i | −0.297138 | − | 0.617013i | ||||
\(367\) | 1.16276e10 | − | 1.45806e10i | 0.640954 | − | 0.803731i | −0.350168 | − | 0.936687i | \(-0.613875\pi\) |
0.991122 | + | 0.132956i | \(0.0424469\pi\) | |||||||
\(368\) | 2.24983e9 | + | 2.82120e9i | 0.122676 | + | 0.153831i | ||||
\(369\) | 1.10609e10 | − | 5.32667e9i | 0.596605 | − | 0.287310i | ||||
\(370\) | −3.05988e8 | − | 6.98397e7i | −0.0163266 | − | 0.00372645i | ||||
\(371\) | 5.26700e9 | + | 1.20216e9i | 0.278015 | + | 0.0634551i | ||||
\(372\) | 6.95562e9 | − | 5.54692e9i | 0.363215 | − | 0.289655i | ||||
\(373\) | −6.16100e9 | + | 1.27934e10i | −0.318285 | + | 0.660925i | −0.997319 | − | 0.0731820i | \(-0.976685\pi\) |
0.679034 | + | 0.734107i | \(0.262399\pi\) | |||||||
\(374\) | −2.60866e10 | + | 5.95411e9i | −1.33331 | + | 0.304320i | ||||
\(375\) | 4.41379e8 | + | 2.12557e8i | 0.0223196 | + | 0.0107486i | ||||
\(376\) | 1.96446e10 | + | 1.56660e10i | 0.982859 | + | 0.783804i | ||||
\(377\) | −3.59983e10 | − | 8.21639e9i | −1.78204 | − | 0.406739i | ||||
\(378\) | 3.41257e9 | + | 2.72143e9i | 0.167153 | + | 0.133300i | ||||
\(379\) | 6.06210e9 | + | 2.65598e10i | 0.293810 | + | 1.28727i | 0.879176 | + | 0.476496i | \(0.158093\pi\) |
−0.585366 | + | 0.810769i | \(0.699049\pi\) | |||||||
\(380\) | 6.91653e7 | 0.00331706 | ||||||||
\(381\) | − | 4.51423e9i | − | 0.214232i | ||||||
\(382\) | −1.20031e9 | − | 5.25890e9i | −0.0563689 | − | 0.246968i | ||||
\(383\) | 1.06925e10 | − | 8.52699e9i | 0.496917 | − | 0.396278i | −0.342710 | − | 0.939441i | \(-0.611345\pi\) |
0.839627 | + | 0.543163i | \(0.182773\pi\) | |||||||
\(384\) | −2.42745e9 | + | 1.16900e9i | −0.111642 | + | 0.0537637i | ||||
\(385\) | 1.25426e8 | + | 6.04021e7i | 0.00570881 | + | 0.00274922i | ||||
\(386\) | 1.54826e10i | 0.697422i | ||||||||
\(387\) | 8.58283e9 | + | 8.30152e9i | 0.382637 | + | 0.370095i | ||||
\(388\) | −1.87671e10 | −0.828075 | ||||||||
\(389\) | −2.97605e9 | + | 6.17983e9i | −0.129970 | + | 0.269885i | −0.955791 | − | 0.294047i | \(-0.904998\pi\) |
0.825821 | + | 0.563932i | \(0.190712\pi\) | |||||||
\(390\) | 1.11745e8 | + | 2.32042e8i | 0.00483027 | + | 0.0100302i | ||||
\(391\) | −1.42999e10 | − | 1.79315e10i | −0.611822 | − | 0.767200i | ||||
\(392\) | −2.26730e10 | + | 5.17497e9i | −0.960207 | + | 0.219161i | ||||
\(393\) | −2.51823e10 | −1.05566 | ||||||||
\(394\) | 4.67425e9i | 0.193967i | ||||||||
\(395\) | −7.07730e8 | + | 1.61535e8i | −0.0290723 | + | 0.00663556i | ||||
\(396\) | 4.80416e9 | − | 6.02423e9i | 0.195361 | − | 0.244974i | ||||
\(397\) | −1.61925e9 | + | 7.09438e9i | −0.0651855 | + | 0.285596i | −0.997006 | − | 0.0773229i | \(-0.975363\pi\) |
0.931821 | + | 0.362919i | \(0.118220\pi\) | |||||||
\(398\) | 1.88774e9 | − | 2.36715e9i | 0.0752332 | − | 0.0943394i | ||||
\(399\) | 8.18271e8 | − | 1.69916e9i | 0.0322853 | − | 0.0670412i | ||||
\(400\) | 1.72809e9 | + | 7.57128e9i | 0.0675037 | + | 0.295753i | ||||
\(401\) | 3.90779e10 | + | 1.88189e10i | 1.51131 | + | 0.727809i | 0.991936 | − | 0.126738i | \(-0.0404508\pi\) |
0.519374 | + | 0.854547i | \(0.326165\pi\) | |||||||
\(402\) | 4.30089e9 | + | 5.39314e9i | 0.164685 | + | 0.206508i | ||||
\(403\) | −1.04361e10 | + | 4.57234e10i | −0.395655 | + | 1.73348i | ||||
\(404\) | −1.58602e9 | + | 6.94879e9i | −0.0595363 | + | 0.260846i | ||||
\(405\) | 3.89700e7 | + | 8.09220e7i | 0.00144847 | + | 0.00300778i | ||||
\(406\) | 6.40040e9 | − | 5.10415e9i | 0.235561 | − | 0.187854i | ||||
\(407\) | 3.39992e10 | + | 2.71134e10i | 1.23906 | + | 0.988114i | ||||
\(408\) | −2.76313e10 | + | 1.33065e10i | −0.997151 | + | 0.480203i | ||||
\(409\) | 4.02390e8 | + | 8.35572e8i | 0.0143799 | + | 0.0298601i | 0.908035 | − | 0.418894i | \(-0.137582\pi\) |
−0.893655 | + | 0.448754i | \(0.851868\pi\) | |||||||
\(410\) | −2.88239e8 | + | 3.61440e8i | −0.0102004 | + | 0.0127909i | ||||
\(411\) | −1.95493e10 | − | 2.45141e10i | −0.685117 | − | 0.859109i | ||||
\(412\) | −1.36343e10 | + | 6.56594e9i | −0.473200 | + | 0.227881i | ||||
\(413\) | −5.27827e9 | − | 1.20473e9i | −0.181423 | − | 0.0414085i | ||||
\(414\) | −7.17687e9 | − | 1.63807e9i | −0.244306 | − | 0.0557612i | ||||
\(415\) | 6.64310e8 | − | 5.29770e8i | 0.0223964 | − | 0.0178605i | ||||
\(416\) | 1.36555e10 | − | 2.83559e10i | 0.455967 | − | 0.946824i | ||||
\(417\) | 4.44470e9 | − | 1.01447e9i | 0.146994 | − | 0.0335503i | ||||
\(418\) | 9.62363e9 | + | 4.63450e9i | 0.315235 | + | 0.151809i | ||||
\(419\) | 2.56887e10 | + | 2.04861e10i | 0.833464 | + | 0.664665i | 0.944268 | − | 0.329177i | \(-0.106771\pi\) |
−0.110804 | + | 0.993842i | \(0.535343\pi\) | |||||||
\(420\) | 4.99455e7 | + | 1.13997e7i | 0.00160509 | + | 0.000366351i | ||||
\(421\) | −4.37729e10 | − | 3.49077e10i | −1.39340 | − | 1.11120i | −0.979628 | − | 0.200822i | \(-0.935639\pi\) |
−0.413775 | − | 0.910379i | \(-0.635790\pi\) | |||||||
\(422\) | 6.95640e9 | + | 3.04780e10i | 0.219348 | + | 0.961028i | ||||
\(423\) | −2.00358e10 | −0.625812 | ||||||||
\(424\) | 3.50706e10i | 1.08512i | ||||||||
\(425\) | −1.09837e10 | − | 4.81228e10i | −0.336661 | − | 1.47501i | ||||
\(426\) | −4.65861e8 | + | 3.71512e8i | −0.0141455 | + | 0.0112807i | ||||
\(427\) | 1.16099e10 | − | 5.59104e9i | 0.349235 | − | 0.168183i | ||||
\(428\) | 1.95294e10 | + | 9.40485e9i | 0.581987 | + | 0.280270i | ||||
\(429\) | − | 3.56846e10i | − | 1.05354i | ||||||
\(430\) | −4.26828e8 | − | 1.41418e8i | −0.0124847 | − | 0.00413647i | ||||
\(431\) | 8.14089e9 | 0.235919 | 0.117959 | − | 0.993018i | \(-0.462365\pi\) | ||||
0.117959 | + | 0.993018i | \(0.462365\pi\) | |||||||
\(432\) | −4.80539e9 | + | 9.97849e9i | −0.137973 | + | 0.286504i | ||||
\(433\) | −1.27302e10 | − | 2.64346e10i | −0.362147 | − | 0.752006i | 0.637686 | − | 0.770297i | \(-0.279892\pi\) |
−0.999833 | + | 0.0182907i | \(0.994178\pi\) | |||||||
\(434\) | −6.48305e9 | − | 8.12949e9i | −0.182734 | − | 0.229142i | ||||
\(435\) | 6.38643e8 | − | 1.45766e8i | 0.0178361 | − | 0.00407098i | ||||
\(436\) | 5.64701e9 | 0.156269 | ||||||||
\(437\) | 9.15559e9i | 0.251050i | ||||||||
\(438\) | 1.97427e10 | − | 4.50613e9i | 0.536425 | − | 0.122436i | ||||
\(439\) | 3.38187e9 | − | 4.24074e9i | 0.0910541 | − | 0.114178i | −0.734217 | − | 0.678914i | \(-0.762451\pi\) |
0.825271 | + | 0.564736i | \(0.191022\pi\) | |||||||
\(440\) | −2.01095e8 | + | 8.81056e8i | −0.00536526 | + | 0.0235068i | ||||
\(441\) | 1.15622e10 | − | 1.44986e10i | 0.305695 | − | 0.383329i | ||||
\(442\) | 2.25220e10 | − | 4.67674e10i | 0.590090 | − | 1.22533i | ||||
\(443\) | −6.11964e9 | − | 2.68119e10i | −0.158895 | − | 0.696166i | −0.990119 | − | 0.140228i | \(-0.955216\pi\) |
0.831224 | − | 0.555938i | \(-0.187641\pi\) | |||||||
\(444\) | 1.44182e10 | + | 6.94342e9i | 0.371003 | + | 0.178666i | ||||
\(445\) | 1.25510e8 | + | 1.57384e8i | 0.00320064 | + | 0.00401348i | ||||
\(446\) | 3.11676e9 | − | 1.36554e10i | 0.0787706 | − | 0.345116i | ||||
\(447\) | −6.23347e9 | + | 2.73106e10i | −0.156135 | + | 0.684072i | ||||
\(448\) | 4.51800e9 | + | 9.38173e9i | 0.112159 | + | 0.232901i | ||||
\(449\) | −2.61058e10 | + | 2.08187e10i | −0.642320 | + | 0.512233i | −0.889617 | − | 0.456707i | \(-0.849029\pi\) |
0.247298 | + | 0.968940i | \(0.420457\pi\) | |||||||
\(450\) | −1.23866e10 | − | 9.87796e9i | −0.302065 | − | 0.240889i | ||||
\(451\) | 5.77108e10 | − | 2.77920e10i | 1.39492 | − | 0.671760i | ||||
\(452\) | −1.38275e10 | − | 2.87131e10i | −0.331276 | − | 0.687903i | ||||
\(453\) | 3.48451e9 | − | 4.36944e9i | 0.0827464 | − | 0.103761i | ||||
\(454\) | 2.20066e10 | + | 2.75954e10i | 0.518000 | + | 0.649552i | ||||
\(455\) | −2.43319e8 | + | 1.17176e8i | −0.00567716 | + | 0.00273397i | ||||
\(456\) | 1.19357e10 | + | 2.72425e9i | 0.276051 | + | 0.0630067i | ||||
\(457\) | 1.03360e10 | + | 2.35913e9i | 0.236968 | + | 0.0540863i | 0.339355 | − | 0.940658i | \(-0.389791\pi\) |
−0.102388 | + | 0.994745i | \(0.532648\pi\) | |||||||
\(458\) | 2.52338e10 | − | 2.01233e10i | 0.573483 | − | 0.457338i | ||||
\(459\) | 3.05429e10 | − | 6.34229e10i | 0.688112 | − | 1.42888i | ||||
\(460\) | −2.42470e8 | + | 5.53423e7i | −0.00541536 | + | 0.00123602i | ||||
\(461\) | −2.68975e10 | − | 1.29532e10i | −0.595537 | − | 0.286795i | 0.111734 | − | 0.993738i | \(-0.464360\pi\) |
−0.707271 | + | 0.706943i | \(0.750074\pi\) | |||||||
\(462\) | 6.18554e9 | + | 4.93281e9i | 0.135772 | + | 0.108274i | ||||
\(463\) | −3.32407e10 | − | 7.58698e9i | −0.723347 | − | 0.165099i | −0.155031 | − | 0.987910i | \(-0.549548\pi\) |
−0.568316 | + | 0.822810i | \(0.692405\pi\) | |||||||
\(464\) | 1.62403e10 | + | 1.29512e10i | 0.350366 | + | 0.279408i | ||||
\(465\) | −1.85145e8 | − | 8.11174e8i | −0.00396005 | − | 0.0173501i | ||||
\(466\) | 1.47863e9 | 0.0313557 | ||||||||
\(467\) | 4.55224e10i | 0.957101i | 0.878060 | + | 0.478550i | \(0.158838\pi\) | ||||
−0.878060 | + | 0.478550i | \(0.841162\pi\) | |||||||
\(468\) | 3.32619e9 | + | 1.45730e10i | 0.0693368 | + | 0.303784i | ||||
\(469\) | −5.65525e9 | + | 4.50991e9i | −0.116885 | + | 0.0932130i | ||||
\(470\) | 6.79761e8 | − | 3.27356e8i | 0.0139304 | − | 0.00670855i | ||||
\(471\) | 2.78853e10 | + | 1.34288e10i | 0.566619 | + | 0.272869i | ||||
\(472\) | − | 3.51456e10i | − | 0.708114i | ||||||
\(473\) | 4.47811e10 | + | 4.33134e10i | 0.894644 | + | 0.865321i | ||||
\(474\) | −4.12554e10 | −0.817274 | ||||||||
\(475\) | −8.54939e9 | + | 1.77530e10i | −0.167942 | + | 0.348736i | ||||
\(476\) | −4.47996e9 | − | 9.30273e9i | −0.0872662 | − | 0.181210i | ||||
\(477\) | −1.74361e10 | − | 2.18641e10i | −0.336802 | − | 0.422337i | ||||
\(478\) | 8.02195e9 | − | 1.83096e9i | 0.153663 | − | 0.0350725i | ||||
\(479\) | 7.95082e9 | 0.151032 | 0.0755162 | − | 0.997145i | \(-0.475940\pi\) | ||||
0.0755162 | + | 0.997145i | \(0.475940\pi\) | |||||||
\(480\) | 5.58352e8i | 0.0105182i | ||||||||
\(481\) | −8.22461e10 | + | 1.87721e10i | −1.53651 | + | 0.350698i | ||||
\(482\) | 1.35773e10 | − | 1.70254e10i | 0.251551 | − | 0.315435i | ||||
\(483\) | −1.50901e9 | + | 6.61141e9i | −0.0277271 | + | 0.121480i | ||||
\(484\) | 8.88566e9 | − | 1.11423e10i | 0.161923 | − | 0.203045i | ||||
\(485\) | −7.61533e8 | + | 1.58134e9i | −0.0137633 | + | 0.0285797i | ||||
\(486\) | −8.30873e9 | − | 3.64029e10i | −0.148933 | − | 0.652516i | ||||
\(487\) | −3.73753e10 | − | 1.79990e10i | −0.664460 | − | 0.319987i | 0.0710777 | − | 0.997471i | \(-0.477356\pi\) |
−0.735538 | + | 0.677484i | \(0.763070\pi\) | |||||||
\(488\) | 5.21555e10 | + | 6.54010e10i | 0.919647 | + | 1.15320i | ||||
\(489\) | 1.19874e10 | − | 5.25202e10i | 0.209647 | − | 0.918525i | ||||
\(490\) | −1.55391e8 | + | 6.80810e8i | −0.00269551 | + | 0.0118098i | ||||
\(491\) | 2.03654e10 | + | 4.22892e10i | 0.350402 | + | 0.727618i | 0.999451 | − | 0.0331288i | \(-0.0105472\pi\) |
−0.649049 | + | 0.760747i | \(0.724833\pi\) | |||||||
\(492\) | 1.84291e10 | − | 1.46967e10i | 0.314517 | − | 0.250819i | ||||
\(493\) | −1.03223e11 | − | 8.23174e10i | −1.74738 | − | 1.39349i | ||||
\(494\) | −1.86693e10 | + | 8.99064e9i | −0.313487 | + | 0.150967i | ||||
\(495\) | −3.12666e8 | − | 6.49257e8i | −0.00520786 | − | 0.0108142i | ||||
\(496\) | 1.64500e10 | − | 2.06277e10i | 0.271794 | − | 0.340819i | ||||
\(497\) | −3.89568e8 | − | 4.88502e8i | −0.00638495 | − | 0.00800647i | ||||
\(498\) | 4.35064e10 | − | 2.09516e10i | 0.707353 | − | 0.340643i | ||||
\(499\) | 5.74617e10 | + | 1.31153e10i | 0.926780 | + | 0.211531i | 0.659168 | − | 0.751996i | \(-0.270909\pi\) |
0.267611 | + | 0.963527i | \(0.413766\pi\) | |||||||
\(500\) | −1.04384e9 | − | 2.38250e8i | −0.0167015 | − | 0.00381201i | ||||
\(501\) | −4.31213e10 | + | 3.43881e10i | −0.684449 | + | 0.545830i | ||||
\(502\) | −2.82473e9 | + | 5.86562e9i | −0.0444798 | + | 0.0923632i | ||||
\(503\) | 4.72720e10 | − | 1.07895e10i | 0.738468 | − | 0.168550i | 0.163289 | − | 0.986578i | \(-0.447790\pi\) |
0.575179 | + | 0.818028i | \(0.304933\pi\) | |||||||
\(504\) | −9.29976e9 | − | 4.47853e9i | −0.144128 | − | 0.0694086i | ||||
\(505\) | 5.21157e8 | + | 4.15609e8i | 0.00801314 | + | 0.00639027i | ||||
\(506\) | −3.74455e10 | − | 8.54670e9i | −0.571213 | − | 0.130376i | ||||
\(507\) | 1.87955e10 | + | 1.49889e10i | 0.284461 | + | 0.226850i | ||||
\(508\) | 2.19541e9 | + | 9.61870e9i | 0.0329655 | + | 0.144431i | ||||
\(509\) | 1.63212e10 | 0.243154 | 0.121577 | − | 0.992582i | \(-0.461205\pi\) | ||||
0.121577 | + | 0.992582i | \(0.461205\pi\) | |||||||
\(510\) | 9.20893e8i | 0.0136122i | ||||||||
\(511\) | 4.72514e9 | + | 2.07022e10i | 0.0692996 | + | 0.303621i | ||||
\(512\) | −3.12772e10 | + | 2.49427e10i | −0.455143 | + | 0.362964i | ||||
\(513\) | −2.53180e10 | + | 1.21925e10i | −0.365562 | + | 0.176045i | ||||
\(514\) | −3.32384e9 | − | 1.60067e9i | −0.0476197 | − | 0.0229325i | ||||
\(515\) | 1.41528e9i | 0.0201193i | ||||||||
\(516\) | 1.96130e10 | + | 1.18726e10i | 0.276659 | + | 0.167474i | ||||
\(517\) | −1.04537e11 | −1.46322 | ||||||||
\(518\) | 8.11522e9 | − | 1.68514e10i | 0.112715 | − | 0.234055i | ||||
\(519\) | 3.39830e10 | + | 7.05665e10i | 0.468374 | + | 0.972588i | ||||
\(520\) | −1.09307e9 | − | 1.37067e9i | −0.0149498 | − | 0.0187464i | ||||
\(521\) | −1.18096e11 | + | 2.69547e10i | −1.60282 | + | 0.365834i | −0.928127 | − | 0.372263i | \(-0.878582\pi\) |
−0.674695 | + | 0.738097i | \(0.735725\pi\) | |||||||
\(522\) | −4.23762e10 | −0.570743 | ||||||||
\(523\) | − | 6.05205e10i | − | 0.808901i | −0.914560 | − | 0.404451i | \(-0.867463\pi\) | ||
0.914560 | − | 0.404451i | \(-0.132537\pi\) | |||||||
\(524\) | 5.36572e10 | − | 1.22469e10i | 0.711710 | − | 0.162443i | ||||
\(525\) | −9.09968e9 | + | 1.14106e10i | −0.119781 | + | 0.150201i | ||||
\(526\) | 1.49136e10 | − | 6.53409e10i | 0.194823 | − | 0.853576i | ||||
\(527\) | −1.04556e11 | + | 1.31109e11i | −1.35552 | + | 1.69977i | ||||
\(528\) | −8.71013e9 | + | 1.80868e10i | −0.112070 | + | 0.232716i | ||||
\(529\) | 1.01000e10 | + | 4.42511e10i | 0.128973 | + | 0.565069i | ||||
\(530\) | 9.48789e8 | + | 4.56913e8i | 0.0120245 | + | 0.00579068i | ||||
\(531\) | 1.74734e10 | + | 2.19109e10i | 0.219785 | + | 0.275602i | ||||
\(532\) | −9.17181e8 | + | 4.01843e9i | −0.0114501 | + | 0.0501661i | ||||
\(533\) | −2.76507e10 | + | 1.21146e11i | −0.342608 | + | 1.50106i | ||||
\(534\) | 4.96372e9 | + | 1.03073e10i | 0.0610438 | + | 0.126759i | ||||
\(535\) | 1.58493e9 | − | 1.26394e9i | 0.0193462 | − | 0.0154281i | ||||
\(536\) | −3.67116e10 | − | 2.92766e10i | −0.444779 | − | 0.354700i | ||||
\(537\) | 5.19669e10 | − | 2.50259e10i | 0.624928 | − | 0.300949i | ||||
\(538\) | 3.07601e10 | + | 6.38740e10i | 0.367163 | + | 0.762422i | ||||
\(539\) | 6.03263e10 | − | 7.56468e10i | 0.714746 | − | 0.896263i | ||||
\(540\) | −4.75937e8 | − | 5.96806e8i | −0.00559725 | − | 0.00701872i | ||||
\(541\) | 5.95592e10 | − | 2.86822e10i | 0.695280 | − | 0.334829i | −0.0526442 | − | 0.998613i | \(-0.516765\pi\) |
0.747924 | + | 0.663784i | \(0.231051\pi\) | |||||||
\(542\) | −1.93691e10 | − | 4.42087e9i | −0.224446 | − | 0.0512284i | ||||
\(543\) | 4.96471e9 | + | 1.13316e9i | 0.0571076 | + | 0.0130344i | ||||
\(544\) | 8.79829e10 | − | 7.01641e10i | 1.00462 | − | 0.801160i | ||||
\(545\) | 2.29145e8 | − | 4.75825e8i | 0.00259731 | − | 0.00539338i | ||||
\(546\) | −1.49632e10 | + | 3.41526e9i | −0.168366 | + | 0.0384284i | ||||
\(547\) | 5.34401e10 | + | 2.57354e10i | 0.596923 | + | 0.287463i | 0.707847 | − | 0.706366i | \(-0.249667\pi\) |
−0.110924 | + | 0.993829i | \(0.535381\pi\) | |||||||
\(548\) | 5.35767e10 | + | 4.27260e10i | 0.594092 | + | 0.473773i | ||||
\(549\) | −6.50309e10 | − | 1.48429e10i | −0.715864 | − | 0.163391i | ||||
\(550\) | −6.46273e10 | − | 5.15385e10i | −0.706261 | − | 0.563224i | ||||
\(551\) | 1.17278e10 | + | 5.13829e10i | 0.127236 | + | 0.557458i | ||||
\(552\) | −4.40224e10 | −0.474152 | ||||||||
\(553\) | − | 4.32605e10i | − | 0.462584i | ||||||
\(554\) | 1.00418e10 | + | 4.39961e10i | 0.106604 | + | 0.467062i | ||||
\(555\) | 1.17012e9 | − | 9.33142e8i | 0.0123327 | − | 0.00983503i | ||||
\(556\) | −8.97719e9 | + | 4.32318e9i | −0.0939379 | + | 0.0452381i | ||||
\(557\) | 1.39087e11 | + | 6.69807e10i | 1.44499 | + | 0.695871i | 0.981717 | − | 0.190345i | \(-0.0609605\pi\) |
0.463273 | + | 0.886215i | \(0.346675\pi\) | |||||||
\(558\) | 5.38243e10i | 0.555190i | ||||||||
\(559\) | −1.19858e11 | + | 1.55308e10i | −1.22749 | + | 0.159055i | ||||
\(560\) | 1.51928e8 | 0.00154485 | ||||||||
\(561\) | 5.53613e10 | − | 1.14959e11i | 0.558927 | − | 1.16062i | ||||
\(562\) | 1.41967e10 | + | 2.94797e10i | 0.142312 | + | 0.295514i | ||||
\(563\) | 7.05288e10 | + | 8.84404e10i | 0.701994 | + | 0.880272i | 0.997171 | − | 0.0751704i | \(-0.0239501\pi\) |
−0.295177 | + | 0.955443i | \(0.595379\pi\) | |||||||
\(564\) | −3.75049e10 | + | 8.56024e9i | −0.370656 | + | 0.0845998i | ||||
\(565\) | −2.98050e9 | −0.0292480 | ||||||||
\(566\) | − | 9.28307e10i | − | 0.904536i | ||||||
\(567\) | −5.21826e9 | + | 1.19103e9i | −0.0504886 | + | 0.0115237i | ||||
\(568\) | 2.52892e9 | − | 3.17116e9i | 0.0242964 | − | 0.0304667i | ||||
\(569\) | −2.40896e10 | + | 1.05543e11i | −0.229816 | + | 1.00689i | 0.719974 | + | 0.694001i | \(0.244154\pi\) |
−0.949790 | + | 0.312889i | \(0.898703\pi\) | |||||||
\(570\) | 2.29204e8 | − | 2.87413e8i | 0.00217131 | − | 0.00272274i | ||||
\(571\) | −1.21562e10 | + | 2.52426e10i | −0.114355 | + | 0.237460i | −0.950289 | − | 0.311370i | \(-0.899212\pi\) |
0.835934 | + | 0.548830i | \(0.184926\pi\) | |||||||
\(572\) | 1.73545e10 | + | 7.60350e10i | 0.162117 | + | 0.710280i | ||||
\(573\) | 2.31750e10 | + | 1.11605e10i | 0.214981 | + | 0.103530i | ||||
\(574\) | −1.71770e10 | − | 2.15393e10i | −0.158234 | − | 0.198420i | ||||
\(575\) | 1.57663e10 | − | 6.90768e10i | 0.144231 | − | 0.631918i | ||||
\(576\) | 1.19942e10 | − | 5.25501e10i | 0.108964 | − | 0.477402i | ||||
\(577\) | 2.38504e10 | + | 4.95258e10i | 0.215175 | + | 0.446815i | 0.980418 | − | 0.196926i | \(-0.0630957\pi\) |
−0.765244 | + | 0.643741i | \(0.777381\pi\) | |||||||
\(578\) | 8.17573e10 | − | 6.51992e10i | 0.732512 | − | 0.584159i | ||||
\(579\) | −5.77225e10 | − | 4.60322e10i | −0.513607 | − | 0.409588i | ||||
\(580\) | −1.28990e9 | + | 6.21183e8i | −0.0113984 | + | 0.00548918i | ||||
\(581\) | 2.19699e10 | + | 4.56209e10i | 0.192807 | + | 0.400368i | ||||
\(582\) | −6.21914e10 | + | 7.79856e10i | −0.542049 | + | 0.679708i | ||||
\(583\) | −9.09732e10 | − | 1.14077e11i | −0.787479 | − | 0.987468i | ||||
\(584\) | −1.24195e11 | + | 5.98093e10i | −1.06771 | + | 0.514183i | ||||
\(585\) | 1.36291e9 | + | 3.11076e8i | 0.0116371 | + | 0.00265609i | ||||
\(586\) | 9.33974e10 | + | 2.13173e10i | 0.792035 | + | 0.180777i | ||||
\(587\) | −1.28999e11 | + | 1.02873e11i | −1.08651 | + | 0.866463i | −0.991641 | − | 0.129026i | \(-0.958815\pi\) |
−0.0948695 | + | 0.995490i | \(0.530243\pi\) | |||||||
\(588\) | 1.54488e10 | − | 3.20798e10i | 0.129237 | − | 0.268363i | ||||
\(589\) | 6.52641e10 | − | 1.48961e10i | 0.542267 | − | 0.123769i | ||||
\(590\) | −9.50819e8 | − | 4.57890e8i | −0.00784675 | − | 0.00377879i | ||||
\(591\) | −1.74266e10 | − | 1.38972e10i | −0.142844 | − | 0.113914i | ||||
\(592\) | 4.62686e10 | + | 1.05605e10i | 0.376703 | + | 0.0859801i | ||||
\(593\) | −8.47394e10 | − | 6.75774e10i | −0.685278 | − | 0.546491i | 0.217787 | − | 0.975996i | \(-0.430116\pi\) |
−0.903064 | + | 0.429506i | \(0.858688\pi\) | |||||||
\(594\) | −2.62320e10 | − | 1.14930e11i | −0.210711 | − | 0.923183i | ||||
\(595\) | −9.65649e8 | −0.00770462 | ||||||||
\(596\) | − | 6.12237e10i | − | 0.485215i | ||||||
\(597\) | 3.21270e9 | + | 1.40758e10i | 0.0252914 | + | 0.110809i | ||||
\(598\) | 5.82544e10 | − | 4.64563e10i | 0.455537 | − | 0.363279i | ||||
\(599\) | 1.35745e11 | − | 6.53713e10i | 1.05443 | − | 0.507785i | 0.175370 | − | 0.984503i | \(-0.443888\pi\) |
0.879057 | + | 0.476717i | \(0.158173\pi\) | |||||||
\(600\) | −8.53608e10 | − | 4.11076e10i | −0.658649 | − | 0.317188i | ||||
\(601\) | − | 1.03542e11i | − | 0.793628i | −0.917899 | − | 0.396814i | \(-0.870116\pi\) | ||
0.917899 | − | 0.396814i | \(-0.129884\pi\) | |||||||
\(602\) | 1.38763e10 | − | 2.29230e10i | 0.105654 | − | 0.174536i | ||||
\(603\) | 3.74427e10 | 0.283203 | ||||||||
\(604\) | −5.29964e9 | + | 1.10048e10i | −0.0398198 | + | 0.0826866i | ||||
\(605\) | −5.78299e8 | − | 1.20085e9i | −0.00431649 | − | 0.00896329i | ||||
\(606\) | 2.36195e10 | + | 2.96179e10i | 0.175138 | + | 0.219616i | ||||
\(607\) | 8.40041e9 | − | 1.91734e9i | 0.0618793 | − | 0.0141236i | −0.191469 | − | 0.981499i | \(-0.561325\pi\) |
0.253349 | + | 0.967375i | \(0.418468\pi\) | |||||||
\(608\) | −4.49230e10 | −0.328742 | ||||||||
\(609\) | 3.90374e10i | 0.283800i | ||||||||
\(610\) | 2.44884e9 | − | 5.58932e8i | 0.0176865 | − | 0.00403682i | ||||
\(611\) | 1.26441e11 | − | 1.58552e11i | 0.907241 | − | 1.13764i | ||||
\(612\) | −1.18932e10 | + | 5.21076e10i | −0.0847801 | + | 0.371446i | ||||
\(613\) | 7.41980e10 | − | 9.30413e10i | 0.525473 | − | 0.658922i | −0.446288 | − | 0.894889i | \(-0.647254\pi\) |
0.971761 | + | 0.235967i | \(0.0758259\pi\) | |||||||
\(614\) | −4.76924e10 | + | 9.90344e10i | −0.335565 | + | 0.696807i | ||||
\(615\) | −4.90548e8 | − | 2.14923e9i | −0.00342911 | − | 0.0150239i | ||||
\(616\) | −4.85218e10 | − | 2.33668e10i | −0.336987 | − | 0.162285i | ||||
\(617\) | −1.52631e11 | − | 1.91393e11i | −1.05318 | − | 1.32064i | −0.945201 | − | 0.326490i | \(-0.894134\pi\) |
−0.107977 | − | 0.994153i | \(-0.534437\pi\) | |||||||
\(618\) | −1.78978e10 | + | 7.84152e10i | −0.122700 | + | 0.537584i | ||||
\(619\) | −4.92106e10 | + | 2.15606e11i | −0.335194 | + | 1.46858i | 0.473732 | + | 0.880669i | \(0.342907\pi\) |
−0.808925 | + | 0.587911i | \(0.799950\pi\) | |||||||
\(620\) | 7.88997e8 | + | 1.63837e9i | 0.00533960 | + | 0.0110878i | ||||
\(621\) | 7.90008e10 | − | 6.30010e10i | 0.531209 | − | 0.423625i | ||||
\(622\) | 3.47819e10 | + | 2.77377e10i | 0.232376 | + | 0.185314i | ||||
\(623\) | −1.08082e10 | + | 5.20496e9i | −0.0717466 | + | 0.0345513i | ||||
\(624\) | −1.68971e10 | − | 3.50872e10i | −0.111449 | − | 0.231425i | ||||
\(625\) | 9.50433e10 | − | 1.19181e11i | 0.622876 | − | 0.781062i | ||||
\(626\) | 7.84954e10 | + | 9.84302e10i | 0.511148 | + | 0.640960i | ||||
\(627\) | −4.58909e10 | + | 2.20999e10i | −0.296931 | + | 0.142995i | ||||
\(628\) | −6.59474e10 | − | 1.50521e10i | −0.423994 | − | 0.0967738i | ||||
\(629\) | −2.94082e11 | − | 6.71222e10i | −1.87873 | − | 0.428809i | ||||
\(630\) | −2.42322e8 | + | 1.93245e8i | −0.00153826 | + | 0.00122672i | ||||
\(631\) | 1.27001e11 | − | 2.63720e11i | 0.801105 | − | 1.66351i | 0.0542481 | − | 0.998527i | \(-0.482724\pi\) |
0.746857 | − | 0.664985i | \(-0.231562\pi\) | |||||||
\(632\) | 2.73789e11 | − | 6.24905e10i | 1.71612 | − | 0.391693i | ||||
\(633\) | −1.34311e11 | − | 6.46806e10i | −0.836557 | − | 0.402865i | ||||
\(634\) | 5.51076e9 | + | 4.39468e9i | 0.0341078 | + | 0.0272001i | ||||
\(635\) | 8.99570e8 | + | 2.05321e8i | 0.00553274 | + | 0.00126281i | ||||
\(636\) | −4.19799e10 | − | 3.34779e10i | −0.256574 | − | 0.204611i | ||||
\(637\) | 4.17673e10 | + | 1.82994e11i | 0.253676 | + | 1.11143i | ||||
\(638\) | −2.21099e11 | −1.33446 | ||||||||
\(639\) | 3.23431e9i | 0.0193990i | ||||||||
\(640\) | −1.22544e8 | − | 5.36899e8i | −0.000730417 | − | 0.00320017i | ||||
\(641\) | −4.31430e10 | + | 3.44054e10i | −0.255551 | + | 0.203796i | −0.742883 | − | 0.669422i | \(-0.766542\pi\) |
0.487331 | + | 0.873217i | \(0.337970\pi\) | |||||||
\(642\) | 1.03799e11 | − | 4.99869e10i | 0.611016 | − | 0.294250i | ||||
\(643\) | 1.07158e11 | + | 5.16044e10i | 0.626873 | + | 0.301886i | 0.720218 | − | 0.693748i | \(-0.244042\pi\) |
−0.0933452 | + | 0.995634i | \(0.529756\pi\) | |||||||
\(644\) | − | 1.48212e10i | − | 0.0861666i | ||||||
\(645\) | 1.79626e9 | − | 1.17085e9i | 0.0103784 | − | 0.00676490i | ||||
\(646\) | −7.40917e10 | −0.425441 | ||||||||
\(647\) | 2.33851e10 | − | 4.85596e10i | 0.133451 | − | 0.277114i | −0.823526 | − | 0.567279i | \(-0.807996\pi\) |
0.956976 | + | 0.290166i | \(0.0937104\pi\) | |||||||
\(648\) | −1.50757e10 | − | 3.13051e10i | −0.0855024 | − | 0.177548i | ||||
\(649\) | 9.11677e10 | + | 1.14321e11i | 0.513881 | + | 0.644386i | ||||
\(650\) | 1.56337e11 | − | 3.56830e10i | 0.875810 | − | 0.199898i | ||||
\(651\) | 4.95835e10 | 0.276066 | ||||||||
\(652\) | 1.17737e11i | 0.651514i | ||||||||
\(653\) | 2.23496e11 | − | 5.10114e10i | 1.22918 | − | 0.280553i | 0.441855 | − | 0.897087i | \(-0.354321\pi\) |
0.787329 | + | 0.616534i | \(0.211464\pi\) | |||||||
\(654\) | 1.87134e10 | − | 2.34658e10i | 0.102292 | − | 0.128270i | ||||
\(655\) | 1.14537e9 | − | 5.01819e9i | 0.00622272 | − | 0.0272635i | ||||
\(656\) | 4.35848e10 | − | 5.46536e10i | 0.235353 | − | 0.295123i | ||||
\(657\) | 4.76919e10 | − | 9.90333e10i | 0.255967 | − | 0.531520i | ||||
\(658\) | 1.00049e10 | + | 4.38344e10i | 0.0533715 | + | 0.233836i | ||||
\(659\) | 6.89964e10 | + | 3.32269e10i | 0.365834 | + | 0.176177i | 0.607765 | − | 0.794117i | \(-0.292066\pi\) |
−0.241930 | + | 0.970294i | \(0.577781\pi\) | |||||||
\(660\) | −8.62672e8 | − | 1.08176e9i | −0.00454642 | − | 0.00570104i | ||||
\(661\) | 4.96246e10 | − | 2.17420e11i | 0.259951 | − | 1.13892i | −0.661352 | − | 0.750075i | \(-0.730017\pi\) |
0.921303 | − | 0.388845i | \(-0.127126\pi\) | |||||||
\(662\) | −4.82522e10 | + | 2.11407e11i | −0.251238 | + | 1.10074i | ||||
\(663\) | 1.07398e11 | + | 2.23013e11i | 0.555828 | + | 1.15419i | ||||
\(664\) | −2.56992e11 | + | 2.04944e11i | −1.32205 | + | 1.05430i | ||||
\(665\) | 3.01381e8 | + | 2.40343e8i | 0.00154109 | + | 0.00122898i | ||||
\(666\) | −8.72299e10 | + | 4.20077e10i | −0.443372 | + | 0.213517i | ||||
\(667\) | −8.22276e10 | − | 1.70747e11i | −0.415446 | − | 0.862682i | ||||
\(668\) | 7.51569e10 | − | 9.42438e10i | 0.377453 | − | 0.473311i | ||||
\(669\) | 4.16437e10 | + | 5.22195e10i | 0.207895 | + | 0.260692i | ||||
\(670\) | −1.27033e9 | + | 6.11760e8i | −0.00630403 | + | 0.00303586i | ||||
\(671\) | −3.39300e11 | − | 7.74431e10i | −1.67376 | − | 0.382026i | ||||
\(672\) | −3.24397e10 | − | 7.40415e9i | −0.159074 | − | 0.0363076i | ||||
\(673\) | 2.26918e11 | − | 1.80961e11i | 1.10614 | − | 0.882116i | 0.112380 | − | 0.993665i | \(-0.464153\pi\) |
0.993759 | + | 0.111549i | \(0.0355812\pi\) | |||||||
\(674\) | −7.54587e10 | + | 1.56692e11i | −0.365653 | + | 0.759287i | ||||
\(675\) | 2.12015e11 | − | 4.83910e10i | 1.02129 | − | 0.233104i | ||||
\(676\) | −4.73382e10 | − | 2.27969e10i | −0.226686 | − | 0.109166i | ||||
\(677\) | 2.47053e11 | + | 1.97018e11i | 1.17608 | + | 0.937890i | 0.998928 | − | 0.0462943i | \(-0.0147412\pi\) |
0.177149 | + | 0.984184i | \(0.443313\pi\) | |||||||
\(678\) | −1.65138e11 | − | 3.76917e10i | −0.781500 | − | 0.178372i | ||||
\(679\) | −8.17757e10 | − | 6.52140e10i | −0.384721 | − | 0.306804i | ||||
\(680\) | −1.39490e9 | − | 6.11144e9i | −0.00652389 | − | 0.0285830i | ||||
\(681\) | −1.68310e11 | −0.782569 | ||||||||
\(682\) | 2.80830e11i | 1.29809i | ||||||||
\(683\) | 7.10956e10 | + | 3.11490e11i | 0.326708 | + | 1.43140i | 0.825364 | + | 0.564601i | \(0.190970\pi\) |
−0.498656 | + | 0.866800i | \(0.666173\pi\) | |||||||
\(684\) | 1.66811e10 | − | 1.33028e10i | 0.0762081 | − | 0.0607739i | ||||
\(685\) | 5.77420e9 | − | 2.78071e9i | 0.0262258 | − | 0.0126297i | ||||
\(686\) | −7.82024e10 | − | 3.76603e10i | −0.353121 | − | 0.170054i | ||||
\(687\) | 1.53906e11i | 0.690923i | ||||||||
\(688\) | 6.45410e10 | + | 2.13839e10i | 0.288059 | + | 0.0954405i | ||||
\(689\) | 2.83056e11 | 1.25602 | ||||||||
\(690\) | −5.73540e8 | + | 1.19097e9i | −0.00253027 | + | 0.00525417i | ||||
\(691\) | −3.68704e10 | − | 7.65622e10i | −0.161721 | − | 0.335816i | 0.804324 | − | 0.594191i | \(-0.202528\pi\) |
−0.966045 | + | 0.258374i | \(0.916813\pi\) | |||||||
\(692\) | −1.06728e11 | − | 1.33833e11i | −0.465430 | − | 0.583630i | ||||
\(693\) | 4.18674e10 | − | 9.55595e9i | 0.181528 | − | 0.0414325i | ||||
\(694\) | 1.62113e11 | 0.698841 | ||||||||
\(695\) | 9.31856e8i | 0.00399402i | ||||||||
\(696\) | −2.47062e11 | + | 5.63903e10i | −1.05286 | + | 0.240307i | ||||
\(697\) | −2.77024e11 | + | 3.47377e11i | −1.17378 | + | 1.47187i | ||||
\(698\) | 2.82346e10 | − | 1.23704e11i | 0.118949 | − | 0.521149i | ||||
\(699\) | −4.39619e9 | + | 5.51264e9i | −0.0184148 | + | 0.0230914i | ||||
\(700\) | 1.38398e10 | − | 2.87387e10i | 0.0576420 | − | 0.119695i | ||||
\(701\) | 1.73855e10 | + | 7.61706e10i | 0.0719969 | + | 0.315439i | 0.998084 | − | 0.0618702i | \(-0.0197065\pi\) |
−0.926087 | + | 0.377309i | \(0.876849\pi\) | |||||||
\(702\) | 2.06044e11 | + | 9.92253e10i | 0.848419 | + | 0.408577i | ||||
\(703\) | 7.50772e10 | + | 9.41439e10i | 0.307388 | + | 0.385452i | ||||
\(704\) | 6.25802e10 | − | 2.74182e11i | 0.254769 | − | 1.11621i | ||||
\(705\) | −8.00580e8 | + | 3.50757e9i | −0.00324077 | + | 0.0141987i | ||||
\(706\) | −3.63514e10 | − | 7.54845e10i | −0.146320 | − | 0.303836i | ||||
\(707\) | −3.10574e10 | + | 2.47674e10i | −0.124304 | + | 0.0991295i | ||||
\(708\) | 4.20697e10 | + | 3.35495e10i | 0.167431 | + | 0.133522i | ||||
\(709\) | −3.38270e11 | + | 1.62902e11i | −1.33869 | + | 0.644677i | −0.959779 | − | 0.280758i | \(-0.909414\pi\) |
−0.378907 | + | 0.925435i | \(0.623700\pi\) | |||||||
\(710\) | −5.28440e7 | − | 1.09732e8i | −0.000207952 | − | 0.000431816i | ||||
\(711\) | −1.39620e11 | + | 1.75078e11i | −0.546349 | + | 0.685100i | ||||
\(712\) | −4.85540e10 | − | 6.08848e10i | −0.188932 | − | 0.236913i | ||||
\(713\) | −2.16875e11 | + | 1.04442e11i | −0.839173 | + | 0.404125i | ||||
\(714\) | −5.35029e10 | − | 1.22117e10i | −0.205866 | − | 0.0469876i | ||||
\(715\) | 7.11102e9 | + | 1.62304e9i | 0.0272087 | + | 0.00621021i | ||||
\(716\) | −9.85577e10 | + | 7.85972e10i | −0.375006 | + | 0.299058i | ||||
\(717\) | −1.70242e10 | + | 3.53512e10i | −0.0644156 | + | 0.133760i | ||||
\(718\) | −1.31110e11 | + | 2.99249e10i | −0.493330 | + | 0.112599i | ||||
\(719\) | −1.91084e10 | − | 9.20211e9i | −0.0715004 | − | 0.0344328i | 0.397792 | − | 0.917476i | \(-0.369777\pi\) |
−0.469292 | + | 0.883043i | \(0.655491\pi\) | |||||||
\(720\) | −6.14864e8 | − | 4.90338e8i | −0.00228796 | − | 0.00182459i | ||||
\(721\) | −8.22263e10 | − | 1.87676e10i | −0.304277 | − | 0.0694493i | ||||
\(722\) | −1.31119e11 | − | 1.04564e11i | −0.482523 | − | 0.384799i | ||||
\(723\) | 2.31070e10 | + | 1.01238e11i | 0.0845649 | + | 0.370503i | ||||
\(724\) | −1.11297e10 | −0.0405067 | ||||||||
\(725\) | − | 4.07868e11i | − | 1.47628i | ||||||
\(726\) | −1.68553e10 | − | 7.38478e10i | −0.0606722 | − | 0.265822i | ||||
\(727\) | 4.77490e10 | − | 3.80785e10i | 0.170933 | − | 0.136315i | −0.534287 | − | 0.845303i | \(-0.679420\pi\) |
0.705220 | + | 0.708989i | \(0.250848\pi\) | |||||||
\(728\) | 9.41292e10 | − | 4.53302e10i | 0.335119 | − | 0.161385i | ||||
\(729\) | 2.07314e11 | + | 9.98370e10i | 0.734037 | + | 0.353493i | ||||
\(730\) | 4.13916e9i | 0.0145754i | ||||||||
\(731\) | −4.10220e11 | − | 1.35915e11i | −1.43664 | − | 0.475991i | ||||
\(732\) | −1.28073e11 | −0.446079 | ||||||||
\(733\) | 4.95604e10 | − | 1.02913e11i | 0.171680 | − | 0.356497i | −0.797321 | − | 0.603556i | \(-0.793750\pi\) |
0.969000 | + | 0.247059i | \(0.0794642\pi\) | |||||||
\(734\) | 9.39940e10 | + | 1.95181e11i | 0.323829 | + | 0.672438i | ||||
\(735\) | −2.07620e9 | − | 2.60348e9i | −0.00711411 | − | 0.00892082i | ||||
\(736\) | 1.57485e11 | − | 3.59450e10i | 0.536696 | − | 0.122497i | ||||
\(737\) | 1.95358e11 | 0.662158 | ||||||||
\(738\) | 1.42609e11i | 0.480753i | ||||||||
\(739\) | −4.22585e11 | + | 9.64523e10i | −1.41689 | + | 0.323396i | −0.861316 | − | 0.508070i | \(-0.830359\pi\) |
−0.555575 | + | 0.831466i | \(0.687502\pi\) | |||||||
\(740\) | −2.03943e9 | + | 2.55736e9i | −0.00680113 | + | 0.00852835i | ||||
\(741\) | 2.19875e10 | − | 9.63334e10i | 0.0729294 | − | 0.319524i | ||||
\(742\) | −3.91278e10 | + | 4.90647e10i | −0.129083 | + | 0.161865i | ||||
\(743\) | 2.87613e10 | − | 5.97234e10i | 0.0943741 | − | 0.195970i | −0.848438 | − | 0.529295i | \(-0.822456\pi\) |
0.942812 | + | 0.333325i | \(0.108171\pi\) | |||||||
\(744\) | 7.16243e10 | + | 3.13806e11i | 0.233759 | + | 1.02417i | ||||
\(745\) | −5.15879e9 | − | 2.48434e9i | −0.0167465 | − | 0.00806467i | ||||
\(746\) | −1.02842e11 | − | 1.28960e11i | −0.332060 | − | 0.416390i | ||||
\(747\) | 5.83247e10 | − | 2.55537e11i | 0.187314 | − | 0.820677i | ||||
\(748\) | −6.20532e10 | + | 2.71873e11i | −0.198225 | + | 0.868479i | ||||
\(749\) | 5.24163e10 | + | 1.08844e11i | 0.166548 | + | 0.345840i | ||||
\(750\) | −4.44918e9 | + | 3.54811e9i | −0.0140616 | + | 0.0112138i | ||||
\(751\) | 1.55779e11 | + | 1.24230e11i | 0.489723 | + | 0.390541i | 0.836984 | − | 0.547228i | \(-0.184317\pi\) |
−0.347261 | + | 0.937769i | \(0.612888\pi\) | |||||||
\(752\) | −1.02787e11 | + | 4.94997e10i | −0.321416 | + | 0.154786i | ||||
\(753\) | −1.34699e10 | − | 2.79706e10i | −0.0418972 | − | 0.0870004i | ||||
\(754\) | 2.67426e11 | − | 3.35342e11i | 0.827407 | − | 1.03754i | ||||
\(755\) | 7.12232e8 | + | 8.93110e8i | 0.00219196 | + | 0.00274864i | ||||
\(756\) | 4.09851e10 | − | 1.97374e10i | 0.125470 | − | 0.0604230i | ||||
\(757\) | 3.97262e11 | + | 9.06724e10i | 1.20974 | + | 0.276116i | 0.779387 | − | 0.626543i | \(-0.215531\pi\) |
0.430356 | + | 0.902659i | \(0.358388\pi\) | |||||||
\(758\) | −3.08525e11 | − | 7.04187e10i | −0.934573 | − | 0.213310i | ||||
\(759\) | 1.43195e11 | − | 1.14194e11i | 0.431480 | − | 0.344094i | ||||
\(760\) | −1.08575e9 | + | 2.25457e9i | −0.00325442 | + | 0.00675787i | ||||
\(761\) | 2.43781e11 | − | 5.56415e10i | 0.726878 | − | 0.165905i | 0.156958 | − | 0.987605i | \(-0.449831\pi\) |
0.569920 | + | 0.821700i | \(0.306974\pi\) | |||||||
\(762\) | 4.72452e10 | + | 2.27521e10i | 0.140132 | + | 0.0674842i | ||||
\(763\) | 2.46063e10 | + | 1.96229e10i | 0.0726019 | + | 0.0578981i | ||||
\(764\) | −5.48078e10 | − | 1.25095e10i | −0.160868 | − | 0.0367170i | ||||
\(765\) | 3.90805e9 | + | 3.11657e9i | 0.0114108 | + | 0.00909978i | ||||
\(766\) | 3.53510e10 | + | 1.54883e11i | 0.102680 | + | 0.449872i | ||||
\(767\) | −2.83661e11 | −0.819631 | ||||||||
\(768\) | − | 2.50143e11i | − | 0.719024i | ||||||
\(769\) | 2.56317e10 | + | 1.12300e11i | 0.0732946 | + | 0.321125i | 0.998263 | − | 0.0589201i | \(-0.0187657\pi\) |
−0.924968 | + | 0.380045i | \(0.875909\pi\) | |||||||
\(770\) | −1.26432e9 | + | 1.00826e9i | −0.00359662 | + | 0.00286821i | ||||
\(771\) | 1.58499e10 | − | 7.63291e9i | 0.0448548 | − | 0.0216009i | ||||
\(772\) | 1.45379e11 | + | 7.00109e10i | 0.409292 | + | 0.197105i | ||||
\(773\) | − | 5.61852e10i | − | 0.157364i | −0.996900 | − | 0.0786818i | \(-0.974929\pi\) | ||
0.996900 | − | 0.0786818i | \(-0.0250711\pi\) | |||||||
\(774\) | −1.30141e11 | + | 4.79862e10i | −0.362618 | + | 0.133707i | ||||
\(775\) | −5.18054e11 | −1.43605 | ||||||||
\(776\) | 2.94603e11 | − | 6.11749e11i | 0.812437 | − | 1.68704i | ||||
\(777\) | 3.86979e10 | + | 8.03571e10i | 0.106170 | + | 0.220465i | ||||
\(778\) | −4.96777e10 | − | 6.22938e10i | −0.135595 | − | 0.170030i | ||||
\(779\) | 1.72919e11 | − | 3.94677e10i | 0.469563 | − | 0.107175i | ||||
\(780\) | 2.68413e9 | 0.00725147 | ||||||||
\(781\) | 1.68751e10i | 0.0453568i | ||||||||
\(782\) | 2.59741e11 | − | 5.92841e10i | 0.694565 | − | 0.158530i | ||||
\(783\) | 3.62666e11 | − | 4.54769e11i | 0.964851 | − | 1.20989i | ||||
\(784\) | 2.34967e10 | − | 1.02946e11i | 0.0621932 | − | 0.272486i | ||||
\(785\) | −3.94433e9 | + | 4.94603e9i | −0.0103871 | + | 0.0130250i | ||||
\(786\) | 1.26921e11 | − | 2.63554e11i | 0.332540 | − | 0.690526i | ||||
\(787\) | 1.36937e11 | + | 5.99961e11i | 0.356963 | + | 1.56396i | 0.760714 | + | 0.649087i | \(0.224849\pi\) |
−0.403752 | + | 0.914869i | \(0.632294\pi\) | |||||||
\(788\) | 4.38904e10 | + | 2.11365e10i | 0.113832 | + | 0.0548187i | ||||
\(789\) | 1.99264e11 | + | 2.49869e11i | 0.514187 | + | 0.644770i | ||||
\(790\) | 1.87642e9 | − | 8.22115e9i | 0.00481751 | − | 0.0211069i | ||||
\(791\) | 3.95236e10 | − | 1.73164e11i | 0.100960 | − | 0.442336i | ||||
\(792\) | 1.20956e11 | + | 2.51168e11i | 0.307417 | + | 0.638358i | ||||
\(793\) | 5.27853e11 | − | 4.20949e11i | 1.33481 | − | 1.06448i | ||||
\(794\) | −6.60876e10 | − | 5.27031e10i | −0.166279 | − | 0.132603i | ||||
\(795\) | −4.52436e9 | + | 2.17882e9i | −0.0113263 | + | 0.00545446i | ||||
\(796\) | −1.36909e10 | − | 2.84295e10i | −0.0341021 | − | 0.0708137i | ||||
\(797\) | −3.16456e11 | + | 3.96823e11i | −0.784296 | + | 0.983476i | 0.215680 | + | 0.976464i | \(0.430803\pi\) |
−0.999975 | + | 0.00701142i | \(0.997768\pi\) | |||||||
\(798\) | 1.36590e10 | + | 1.71278e10i | 0.0336827 | + | 0.0422367i | ||||
\(799\) | 6.53312e11 | − | 3.14618e11i | 1.60300 | − | 0.771964i | ||||
\(800\) | 3.38934e11 | + | 7.73594e10i | 0.827475 | + | 0.188866i | ||||
\(801\) | 6.05403e10 | + | 1.38179e10i | 0.147067 | + | 0.0335670i | ||||
\(802\) | −3.93912e11 | + | 3.14135e11i | −0.952143 | + | 0.759308i | ||||
\(803\) | 2.48834e11 | − | 5.16709e11i | 0.598477 | − | 1.24275i | ||||
\(804\) | 7.00888e10 | − | 1.59973e10i | 0.167735 | − | 0.0382845i | ||||
\(805\) | −1.24885e9 | − | 6.01415e8i | −0.00297390 | − | 0.00143216i | ||||
\(806\) | −4.25936e11 | − | 3.39672e11i | −1.00926 | − | 0.804860i | ||||
\(807\) | −3.29590e11 | − | 7.52268e10i | −0.777106 | − | 0.177369i | ||||
\(808\) | −2.01612e11 | − | 1.60780e11i | −0.473011 | − | 0.377214i | ||||
\(809\) | −4.83012e10 | − | 2.11621e11i | −0.112762 | − | 0.494043i | −0.999495 | − | 0.0317620i | \(-0.989888\pi\) |
0.886733 | − | 0.462281i | \(-0.152969\pi\) | |||||||
\(810\) | −1.04333e9 | −0.00242372 | ||||||||
\(811\) | 3.89159e11i | 0.899588i | 0.893132 | + | 0.449794i | \(0.148503\pi\) | ||||
−0.893132 | + | 0.449794i | \(0.851497\pi\) | |||||||
\(812\) | −1.89851e10 | − | 8.31791e10i | −0.0436706 | − | 0.191333i | ||||
\(813\) | 7.40691e10 | − | 5.90681e10i | 0.169541 | − | 0.135204i | ||||
\(814\) | −4.55124e11 | + | 2.19176e11i | −1.03665 | + | 0.499224i | ||||
\(815\) | 9.92071e9 | + | 4.77756e9i | 0.0224860 | + | 0.0108287i | ||||
\(816\) | − | 1.39249e11i | − | 0.314073i | ||||||
\(817\) | 9.42022e10 | + | 1.44520e11i | 0.211433 | + | 0.324370i | ||||
\(818\) | −1.07731e10 | −0.0240617 | ||||||||
\(819\) | −3.61463e10 | + | 7.50587e10i | −0.0803394 | + | 0.166827i | ||||
\(820\) | 2.09047e9 | + | 4.34091e9i | 0.00462369 | + | 0.00960120i | ||||
\(821\) | −7.85604e10 | − | 9.85117e10i | −0.172914 | − | 0.216828i | 0.687821 | − | 0.725880i | \(-0.258567\pi\) |
−0.860736 | + | 0.509052i | \(0.829996\pi\) | |||||||
\(822\) | 3.55091e11 | − | 8.10473e10i | 0.777773 | − | 0.177522i | ||||
\(823\) | −4.79706e11 | −1.04562 | −0.522812 | − | 0.852448i | \(-0.675117\pi\) | ||||
−0.522812 | + | 0.852448i | \(0.675117\pi\) | |||||||
\(824\) | − | 5.47508e11i | − | 1.18763i | ||||||
\(825\) | 3.84293e11 | − | 8.77123e10i | 0.829558 | − | 0.189341i | ||||
\(826\) | 3.92115e10 | − | 4.91696e10i | 0.0842351 | − | 0.105627i | ||||
\(827\) | 7.31893e10 | − | 3.20663e11i | 0.156468 | − | 0.685532i | −0.834452 | − | 0.551080i | \(-0.814216\pi\) |
0.990920 | − | 0.134451i | \(-0.0429271\pi\) | |||||||
\(828\) | −4.78343e10 | + | 5.99824e10i | −0.101770 | + | 0.127615i | ||||
\(829\) | −3.05447e11 | + | 6.34268e11i | −0.646723 | + | 1.34293i | 0.277369 | + | 0.960763i | \(0.410537\pi\) |
−0.924092 | + | 0.382170i | \(0.875177\pi\) | |||||||
\(830\) | 2.19631e9 | + | 9.62266e9i | 0.00462787 | + | 0.0202760i | ||||
\(831\) | −1.93882e11 | − | 9.33688e10i | −0.406569 | − | 0.195793i | ||||
\(832\) | 3.40160e11 | + | 4.26547e11i | 0.709888 | + | 0.890172i | ||||
\(833\) | −1.49344e11 | + | 6.54320e11i | −0.310176 | + | 1.35897i | ||||
\(834\) | −1.17844e10 | + | 5.16306e10i | −0.0243580 | + | 0.106719i | ||||
\(835\) | −4.89138e9 | − | 1.01571e10i | −0.0100620 | − | 0.0208940i | ||||
\(836\) | 8.70342e10 | − | 6.94075e10i | 0.178182 | − | 0.142096i | ||||
\(837\) | −5.77626e11 | − | 4.60642e11i | −1.17692 | − | 0.938559i | ||||
\(838\) | −3.43878e11 | + | 1.65603e11i | −0.697314 | + | 0.335809i | ||||
\(839\) | −3.56618e11 | − | 7.40524e11i | −0.719706 | − | 1.49448i | −0.863216 | − | 0.504835i | \(-0.831553\pi\) |
0.143510 | − | 0.989649i | \(-0.454161\pi\) | |||||||
\(840\) | −1.15563e9 | + | 1.44912e9i | −0.00232114 | + | 0.00291062i | ||||
\(841\) | −3.68296e11 | − | 4.61829e11i | −0.736230 | − | 0.923203i | ||||
\(842\) | 5.85958e11 | − | 2.82183e11i | 1.16578 | − | 0.561412i | ||||
\(843\) | −1.52116e11 | − | 3.47194e10i | −0.301206 | − | 0.0687483i | ||||
\(844\) | 3.17639e11 | + | 7.24990e10i | 0.625985 | + | 0.142877i | ||||
\(845\) | −3.84179e9 | + | 3.06373e9i | −0.00753541 | + | 0.00600929i | ||||
\(846\) | 1.00982e11 | − | 2.09691e11i | 0.197134 | − | 0.409354i | ||||
\(847\) | 7.74369e10 | − | 1.76745e10i | 0.150458 | − | 0.0343410i | ||||
\(848\) | −1.43467e11 | − | 6.90902e10i | −0.277440 | − | 0.133608i | ||||
\(849\) | 3.46092e11 | + | 2.75999e11i | 0.666133 | + | 0.531224i | ||||
\(850\) | 5.59005e11 | + | 1.27589e11i | 1.07088 | + | 0.244421i | ||||
\(851\) | −3.38525e11 | − | 2.69964e11i | −0.645464 | − | 0.514740i | ||||
\(852\) | 1.38185e9 | + | 6.05430e9i | 0.00262243 | + | 0.0114896i | ||||
\(853\) | −2.19861e11 | −0.415291 | −0.207646 | − | 0.978204i | \(-0.566580\pi\) | ||||
−0.207646 | + | 0.978204i | \(0.566580\pi\) | |||||||
\(854\) | 1.49687e11i | 0.281418i | ||||||||
\(855\) | −4.44019e8 | − | 1.94538e9i | −0.000830878 | − | 0.00364032i | ||||
\(856\) | −6.13138e11 | + | 4.88961e11i | −1.14199 | + | 0.910709i | ||||
\(857\) | −1.29403e11 | + | 6.23174e10i | −0.239896 | + | 0.115528i | −0.549969 | − | 0.835185i | \(-0.685361\pi\) |
0.310074 | + | 0.950713i | \(0.399646\pi\) | |||||||
\(858\) | 3.73470e11 | + | 1.79853e11i | 0.689138 | + | 0.331871i | ||||
\(859\) | − | 1.01778e12i | − | 1.86931i | −0.355561 | − | 0.934653i | \(-0.615710\pi\) | ||
0.355561 | − | 0.934653i | \(-0.384290\pi\) | |||||||
\(860\) | −3.25796e9 | + | 3.36836e9i | −0.00595596 | + | 0.00615779i | ||||
\(861\) | 1.31373e11 | 0.239053 | ||||||||
\(862\) | −4.10308e10 | + | 8.52013e10i | −0.0743158 | + | 0.154318i | ||||
\(863\) | 2.26905e11 | + | 4.71173e11i | 0.409073 | + | 0.849449i | 0.999114 | + | 0.0420757i | \(0.0133971\pi\) |
−0.590042 | + | 0.807373i | \(0.700889\pi\) | |||||||
\(864\) | 3.09122e11 | + | 3.87627e11i | 0.554722 | + | 0.695599i | ||||
\(865\) | −1.56077e10 | + | 3.56237e9i | −0.0278789 | + | 0.00636318i | ||||
\(866\) | 3.40822e11 | 0.605977 | ||||||||
\(867\) | 4.98655e11i | 0.882519i | ||||||||
\(868\) | −1.05650e11 | + | 2.41140e10i | −0.186119 | + | 0.0424805i | ||||
\(869\) | −7.28473e11 | + | 9.13476e11i | −1.27742 | + | 1.60184i | ||||
\(870\) | −1.69325e9 | + | 7.41862e9i | −0.00295559 | + | 0.0129493i | ||||
\(871\) | −2.36292e11 | + | 2.96301e11i | −0.410560 | + | 0.514825i | ||||
\(872\) | −8.86459e10 | + | 1.84075e11i | −0.153318 | + | 0.318368i | ||||
\(873\) | 1.20479e11 | + | 5.27852e11i | 0.207421 | + | 0.908772i | ||||
\(874\) | −9.58211e10 | − | 4.61450e10i | −0.164216 | − | 0.0790822i | ||||
\(875\) | −3.72055e9 | − | 4.66542e9i | −0.00634709 | − | 0.00795900i | ||||
\(876\) | 4.69626e10 | − | 2.05756e11i | 0.0797509 | − | 0.349411i | ||||
\(877\) | −1.74569e11 | + | 7.64838e11i | −0.295100 | + | 1.29292i | 0.582227 | + | 0.813026i | \(0.302182\pi\) |
−0.877327 | + | 0.479893i | \(0.840676\pi\) | |||||||
\(878\) | 2.73380e10 | + | 5.67679e10i | 0.0460032 | + | 0.0955267i | ||||
\(879\) | −3.57160e11 | + | 2.84825e11i | −0.598283 | + | 0.477115i | ||||
\(880\) | −3.20807e9 | − | 2.55835e9i | −0.00534950 | − | 0.00426608i | ||||
\(881\) | 5.40485e9 | − | 2.60284e9i | 0.00897181 | − | 0.00432059i | −0.429392 | − | 0.903118i | \(-0.641272\pi\) |
0.438364 | + | 0.898797i | \(0.355558\pi\) | |||||||
\(882\) | 9.34655e10 | + | 1.94083e11i | 0.154446 | + | 0.320711i | ||||
\(883\) | 3.80812e11 | − | 4.77524e11i | 0.626424 | − | 0.785510i | −0.362809 | − | 0.931864i | \(-0.618182\pi\) |
0.989232 | + | 0.146353i | \(0.0467536\pi\) | |||||||
\(884\) | −3.37296e11 | − | 4.22955e11i | −0.552334 | − | 0.692605i | ||||
\(885\) | 4.53403e9 | − | 2.18348e9i | 0.00739115 | − | 0.00355939i | ||||
\(886\) | 3.11453e11 | + | 7.10871e10i | 0.505426 | + | 0.115360i | ||||
\(887\) | −7.45906e11 | − | 1.70248e11i | −1.20501 | − | 0.275035i | −0.427562 | − | 0.903986i | \(-0.640628\pi\) |
−0.777445 | + | 0.628951i | \(0.783485\pi\) | |||||||
\(888\) | −4.52668e11 | + | 3.60990e11i | −0.727994 | + | 0.580556i | ||||
\(889\) | −2.38579e10 | + | 4.95414e10i | −0.0381966 | + | 0.0793161i | ||||
\(890\) | −2.27974e9 | + | 5.20336e8i | −0.00363350 | + | 0.000829323i | ||||
\(891\) | 1.30243e11 | + | 6.27219e10i | 0.206655 | + | 0.0995196i | ||||
\(892\) | −1.14128e11 | − | 9.10143e10i | −0.180274 | − | 0.143764i | ||||
\(893\) | −2.82206e11 | − | 6.44117e10i | −0.443773 | − | 0.101288i | ||||
\(894\) | −2.54412e11 | − | 2.02887e11i | −0.398279 | − | 0.317617i | ||||
\(895\) | 2.62342e9 | + | 1.14939e10i | 0.00408860 | + | 0.0179133i | ||||
\(896\) | 3.28183e10 | 0.0509195 | ||||||||
\(897\) | 3.55306e11i | 0.548824i | ||||||||
\(898\) | −8.63096e10 | − | 3.78147e11i | −0.132725 | − | 0.581508i | ||||
\(899\) | −1.08336e12 | + | 8.63951e11i | −1.65857 | + | 1.32267i | ||||
\(900\) | −1.48763e11 | + | 7.16406e10i | −0.226739 | + | 0.109192i | ||||
\(901\) | 9.11872e11 | + | 4.39135e11i | 1.38368 | + | 0.666344i | ||||
\(902\) | 7.44067e11i | 1.12405i | ||||||||
\(903\) | 4.42054e10 | + | 1.19887e11i | 0.0664851 | + | 0.180311i | ||||
\(904\) | 1.15302e12 | 1.72649 | ||||||||
\(905\) | −4.51620e8 | + | 9.37799e8i | −0.000673254 | + | 0.00139803i | ||||
\(906\) | 2.81677e10 | + | 5.84908e10i | 0.0418060 | + | 0.0868110i | ||||
\(907\) | 3.21973e11 | + | 4.03741e11i | 0.475762 | + | 0.596587i | 0.960572 | − | 0.278033i | \(-0.0896824\pi\) |
−0.484809 | + | 0.874620i | \(0.661111\pi\) | |||||||
\(908\) | 3.58628e11 | − | 8.18545e10i | 0.527595 | − | 0.120420i | ||||
\(909\) | 2.05627e11 | 0.301179 | ||||||||
\(910\) | − | 3.13712e9i | − | 0.00457474i | ||||||
\(911\) | 1.84451e11 | − | 4.20998e10i | 0.267799 | − | 0.0611233i | −0.0865130 | − | 0.996251i | \(-0.527572\pi\) |
0.354311 | + | 0.935127i | \(0.384715\pi\) | |||||||
\(912\) | −3.46581e10 | + | 4.34599e10i | −0.0500986 | + | 0.0628216i | ||||
\(913\) | 3.04311e11 | − | 1.33327e12i | 0.437960 | − | 1.91883i | ||||
\(914\) | −7.67849e10 | + | 9.62852e10i | −0.110025 | + | 0.137967i | ||||
\(915\) | −5.19695e9 | + | 1.07916e10i | −0.00741420 | + | 0.0153957i | ||||
\(916\) | −7.48493e10 | − | 3.27936e11i | −0.106318 | − | 0.465809i | ||||
\(917\) | 2.76363e11 | + | 1.33090e11i | 0.390843 | + | 0.188220i | ||||
\(918\) | 5.09836e11 | + | 6.39315e11i | 0.717894 | + | 0.900210i | ||||
\(919\) | 5.29582e10 | − | 2.32025e11i | 0.0742457 | − | 0.325292i | −0.924142 | − | 0.382048i | \(-0.875219\pi\) |
0.998388 | + | 0.0567567i | \(0.0180759\pi\) | |||||||
\(920\) | 2.00227e9 | − | 8.77254e9i | 0.00279494 | − | 0.0122454i | ||||
\(921\) | −2.27424e11 | − | 4.72251e11i | −0.316081 | − | 0.656349i | ||||
\(922\) | 2.71132e11 | − | 2.16220e11i | 0.375195 | − | 0.299208i | ||||
\(923\) | −2.55946e10 | − | 2.04110e10i | −0.0352647 | − | 0.0281227i | ||||
\(924\) | 7.42886e10 | − | 3.57755e10i | 0.101914 | − | 0.0490792i | ||||
\(925\) | −4.04321e11 | − | 8.39580e11i | −0.552279 | − | 1.14682i | ||||
\(926\) | 2.46941e11 | − | 3.09654e11i | 0.335852 | − | 0.421146i | ||||
\(927\) | 2.72205e11 | + | 3.41334e11i | 0.368618 | + | 0.462233i | ||||
\(928\) | 8.37793e11 | − | 4.03460e11i | 1.12965 | − | 0.544012i | ||||
\(929\) | −2.47489e11 | − | 5.64877e10i | −0.332271 | − | 0.0758387i | 0.0531307 | − | 0.998588i | \(-0.483080\pi\) |
−0.385402 | + | 0.922749i | \(0.625937\pi\) | |||||||
\(930\) | 9.42277e9 | + | 2.15069e9i | 0.0125964 | + | 0.00287505i | ||||
\(931\) | 2.09467e11 | − | 1.67044e11i | 0.278815 | − | 0.222347i | ||||
\(932\) | 6.68622e9 | − | 1.38841e10i | 0.00886170 | − | 0.0184015i | ||||
\(933\) | −2.06824e11 | + | 4.72061e10i | −0.272944 | + | 0.0622977i | ||||
\(934\) | −4.76431e11 | − | 2.29437e11i | −0.626055 | − | 0.301492i | ||||
\(935\) | 2.03904e10 | + | 1.62608e10i | 0.0266796 | + | 0.0212762i | ||||
\(936\) | −5.27249e11 | − | 1.20341e11i | −0.686929 | − | 0.156787i | ||||
\(937\) | −6.36327e11 | − | 5.07454e11i | −0.825510 | − | 0.658322i | 0.116766 | − | 0.993159i | \(-0.462747\pi\) |
−0.942276 | + | 0.334837i | \(0.891319\pi\) | |||||||
\(938\) | −1.86971e10 | − | 8.19174e10i | −0.0241526 | − | 0.105819i | ||||
\(939\) | −6.00347e11 | −0.772218 | ||||||||
\(940\) | − | 7.86311e9i | − | 0.0100712i | ||||||
\(941\) | −6.77705e10 | − | 2.96922e11i | −0.0864335 | − | 0.378690i | 0.913148 | − | 0.407629i | \(-0.133644\pi\) |
−0.999581 | + | 0.0289390i | \(0.990787\pi\) | |||||||
\(942\) | −2.81088e11 | + | 2.24161e11i | −0.356976 | + | 0.284679i | ||||
\(943\) | −5.74618e11 | + | 2.76721e11i | −0.726662 | + | 0.349942i | ||||
\(944\) | 1.43774e11 | + | 6.92379e10i | 0.181047 | + | 0.0871879i | ||||
\(945\) | − | 4.25436e9i | − | 0.00533467i | ||||||
\(946\) | −6.79012e11 | + | 2.50369e11i | −0.847839 | + | 0.312620i | ||||
\(947\) | −3.53081e11 | −0.439010 | −0.219505 | − | 0.975611i | \(-0.570444\pi\) | ||||
−0.219505 | + | 0.975611i | \(0.570444\pi\) | |||||||
\(948\) | −1.86553e11 | + | 3.87381e11i | −0.230977 | + | 0.479629i | ||||
\(949\) | 4.82723e11 | + | 1.00238e12i | 0.595159 | + | 1.23586i | ||||
\(950\) | −1.42710e11 | − | 1.78953e11i | −0.175211 | − | 0.219708i | ||||
\(951\) | −3.27686e10 | + | 7.47922e9i | −0.0400623 | + | 0.00914395i | ||||
\(952\) | 3.73566e11 | 0.454799 | ||||||||
\(953\) | − | 5.55268e10i | − | 0.0673179i | −0.999433 | − | 0.0336590i | \(-0.989284\pi\) | ||
0.999433 | − | 0.0336590i | \(-0.0107160\pi\) | |||||||
\(954\) | 3.16706e11 | − | 7.22862e10i | 0.382352 | − | 0.0872693i | ||||
\(955\) | −3.27807e9 | + | 4.11057e9i | −0.00394098 | + | 0.00494183i | ||||
\(956\) | 1.90821e10 | − | 8.36041e10i | 0.0228452 | − | 0.100091i | ||||
\(957\) | 6.57361e11 | − | 8.24304e11i | 0.783711 | − | 0.982742i | ||||
\(958\) | −4.00729e10 | + | 8.32122e10i | −0.0475760 | + | 0.0987927i | ||||
\(959\) | 8.49862e10 | + | 3.72349e11i | 0.100479 | + | 0.440226i | ||||
\(960\) | −8.72045e9 | − | 4.19955e9i | −0.0102672 | − | 0.00494445i | ||||
\(961\) | 5.65581e11 | + | 7.09216e11i | 0.663134 | + | 0.831543i | ||||
\(962\) | 2.18061e11 | − | 9.55390e11i | 0.254612 | − | 1.11553i | ||||
\(963\) | 1.39153e11 | − | 6.09669e11i | 0.161803 | − | 0.708906i | ||||
\(964\) | −9.84705e10 | − | 2.04476e11i | −0.114024 | − | 0.236774i | ||||
\(965\) | 1.17984e10 | − | 9.40894e9i | 0.0136055 | − | 0.0108500i | ||||
\(966\) | −6.15885e10 | − | 4.91152e10i | −0.0707280 | − | 0.0564037i | ||||
\(967\) | −7.29400e10 | + | 3.51261e10i | −0.0834180 | + | 0.0401720i | −0.475128 | − | 0.879917i | \(-0.657598\pi\) |
0.391710 | + | 0.920089i | \(0.371884\pi\) | |||||||
\(968\) | 2.23718e11 | + | 4.64555e11i | 0.254800 | + | 0.529097i | ||||
\(969\) | 2.20286e11 | − | 2.76229e11i | 0.249857 | − | 0.313310i | ||||
\(970\) | −1.27119e10 | − | 1.59402e10i | −0.0143589 | − | 0.0180056i | ||||
\(971\) | 3.95531e11 | − | 1.90478e11i | 0.444942 | − | 0.214273i | −0.197977 | − | 0.980207i | \(-0.563437\pi\) |
0.642919 | + | 0.765934i | \(0.277723\pi\) | |||||||
\(972\) | −3.79389e11 | − | 8.65930e10i | −0.425030 | − | 0.0970102i | ||||
\(973\) | −5.41399e10 | − | 1.23571e10i | −0.0604041 | − | 0.0137868i | ||||
\(974\) | 3.76750e11 | − | 3.00448e11i | 0.418617 | − | 0.333836i | ||||
\(975\) | −3.31781e11 | + | 6.88950e11i | −0.367141 | + | 0.762376i | ||||
\(976\) | −3.70291e11 | + | 8.45165e10i | −0.408079 | + | 0.0931413i | ||||
\(977\) | 9.16917e11 | + | 4.41564e11i | 1.00636 | + | 0.484636i | 0.863091 | − | 0.505049i | \(-0.168526\pi\) |
0.143265 | + | 0.989684i | \(0.454240\pi\) | |||||||
\(978\) | 4.89251e11 | + | 3.90165e11i | 0.534782 | + | 0.426474i | ||||
\(979\) | 3.15871e11 | + | 7.20954e10i | 0.343857 | + | 0.0784832i | ||||
\(980\) | 5.69003e9 | + | 4.53765e9i | 0.00616894 | + | 0.00491956i | ||||
\(981\) | −3.62520e10 | − | 1.58831e11i | −0.0391432 | − | 0.171498i | ||||
\(982\) | −5.45236e11 | −0.586325 | ||||||||
\(983\) | − | 6.18007e9i | − | 0.00661880i | −0.999995 | − | 0.00330940i | \(-0.998947\pi\) | ||
0.999995 | − | 0.00330940i | \(-0.00105342\pi\) | |||||||
\(984\) | 1.89771e11 | + | 8.31440e11i | 0.202418 | + | 0.886851i | ||||
\(985\) | 3.56198e9 | − | 2.84059e9i | 0.00378396 | − | 0.00301761i | ||||
\(986\) | 1.38177e12 | − | 6.65428e11i | 1.46194 | − | 0.704033i | ||||
\(987\) | −1.93170e11 | − | 9.30257e10i | −0.203550 | − | 0.0980244i | ||||
\(988\) | 2.15956e11i | 0.226640i | ||||||||
\(989\) | −4.45879e11 | − | 4.31265e11i | −0.466049 | − | 0.450774i | ||||
\(990\) | 8.37090e9 | 0.00871428 | ||||||||
\(991\) | 4.75138e11 | − | 9.86634e11i | 0.492635 | − | 1.02297i | −0.495390 | − | 0.868671i | \(-0.664975\pi\) |
0.988025 | − | 0.154296i | \(-0.0493109\pi\) | |||||||
\(992\) | −5.12455e11 | − | 1.06412e12i | −0.529187 | − | 1.09887i | ||||
\(993\) | −6.44707e11 | − | 8.08437e11i | −0.663079 | − | 0.831475i | ||||
\(994\) | 7.07605e9 | − | 1.61506e9i | 0.00724846 | − | 0.00165441i | ||||
\(995\) | −2.95106e9 | −0.00301083 | ||||||||
\(996\) | − | 5.03259e11i | − | 0.511392i | ||||||
\(997\) | 2.66213e11 | − | 6.07614e10i | 0.269432 | − | 0.0614961i | −0.0856703 | − | 0.996324i | \(-0.527303\pi\) |
0.355102 | + | 0.934827i | \(0.384446\pi\) | |||||||
\(998\) | −4.26875e11 | + | 5.35284e11i | −0.430307 | + | 0.539588i | ||||
\(999\) | 2.95721e11 | − | 1.29564e12i | 0.296907 | − | 1.30083i |
(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 | 43.9.f.a.22.11 | yes | 174 | |
43.2 | odd | 14 | inner | 43.9.f.a.2.11 | ✓ | 174 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.9.f.a.2.11 | ✓ | 174 | 43.2 | odd | 14 | inner | |
43.9.f.a.22.11 | yes | 174 | 1.1 | even | 1 | trivial |