Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,8,Mod(27,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.27");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.f (of order \(6\), degree \(2\), 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: | \(23.7412619368\) |
Analytic rank: | \(0\) |
Dimension: | \(136\) |
Relative dimension: | \(68\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 27.14 | ||
Character | \(\chi\) | \(=\) | 76.27 |
Dual form | 76.8.f.a.31.14 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −8.71169 | − | 7.21848i | −0.770012 | − | 0.638029i | ||||
\(3\) | −6.98587 | + | 12.0999i | −0.149381 | + | 0.258736i | −0.930999 | − | 0.365022i | \(-0.881061\pi\) |
0.781618 | + | 0.623758i | \(0.214395\pi\) | |||||||
\(4\) | 23.7871 | + | 125.770i | 0.185837 | + | 0.982581i | ||||
\(5\) | −138.667 | + | 240.178i | −0.496110 | + | 0.859287i | −0.999990 | − | 0.00448651i | \(-0.998572\pi\) |
0.503880 | + | 0.863773i | \(0.331905\pi\) | |||||||
\(6\) | 148.201 | − | 54.9831i | 0.280106 | − | 0.103920i | ||||
\(7\) | 1057.42i | 1.16521i | 0.812756 | + | 0.582605i | \(0.197966\pi\) | ||||
−0.812756 | + | 0.582605i | \(0.802034\pi\) | |||||||
\(8\) | 700.644 | − | 1267.38i | 0.483819 | − | 0.875168i | ||||
\(9\) | 995.895 | + | 1724.94i | 0.455371 | + | 0.788725i | ||||
\(10\) | 2941.74 | − | 1091.39i | 0.930261 | − | 0.345129i | ||||
\(11\) | 3569.75i | 0.808656i | 0.914614 | + | 0.404328i | \(0.132495\pi\) | ||||
−0.914614 | + | 0.404328i | \(0.867505\pi\) | |||||||
\(12\) | −1687.98 | − | 590.793i | −0.281989 | − | 0.0986963i | ||||
\(13\) | −2480.66 | + | 1432.21i | −0.313159 | + | 0.180802i | −0.648339 | − | 0.761352i | \(-0.724536\pi\) |
0.335180 | + | 0.942154i | \(0.391203\pi\) | |||||||
\(14\) | 7632.96 | − | 9211.91i | 0.743438 | − | 0.897225i | ||||
\(15\) | −1937.42 | − | 3355.70i | −0.148219 | − | 0.256723i | ||||
\(16\) | −15252.3 | + | 5983.43i | −0.930929 | + | 0.365200i | ||||
\(17\) | 1358.05 | − | 2352.20i | 0.0670414 | − | 0.116119i | −0.830556 | − | 0.556935i | \(-0.811977\pi\) |
0.897598 | + | 0.440816i | \(0.145311\pi\) | |||||||
\(18\) | 3775.52 | − | 22216.0i | 0.152589 | − | 0.897867i | ||||
\(19\) | 26696.1 | − | 13460.8i | 0.892914 | − | 0.450228i | ||||
\(20\) | −33505.7 | − | 11727.0i | −0.936514 | − | 0.327780i | ||||
\(21\) | −12794.6 | − | 7386.99i | −0.301481 | − | 0.174060i | ||||
\(22\) | 25768.2 | − | 31098.6i | 0.515946 | − | 0.622675i | ||||
\(23\) | 3376.21 | − | 1949.26i | 0.0578605 | − | 0.0334058i | −0.470791 | − | 0.882245i | \(-0.656031\pi\) |
0.528651 | + | 0.848839i | \(0.322698\pi\) | |||||||
\(24\) | 10440.5 | + | 17331.4i | 0.154164 | + | 0.255915i | ||||
\(25\) | 605.519 | + | 1048.79i | 0.00775065 | + | 0.0134245i | ||||
\(26\) | 31949.1 | + | 5429.61i | 0.356493 | + | 0.0605846i | ||||
\(27\) | −58384.9 | −0.570857 | ||||||||
\(28\) | −132992. | + | 25153.0i | −1.14491 | + | 0.216539i | ||||
\(29\) | 28090.1 | − | 16217.8i | 0.213875 | − | 0.123481i | −0.389236 | − | 0.921138i | \(-0.627261\pi\) |
0.603111 | + | 0.797657i | \(0.293928\pi\) | |||||||
\(30\) | −7344.90 | + | 43219.0i | −0.0496662 | + | 0.292247i | ||||
\(31\) | −194793. | −1.17438 | −0.587188 | − | 0.809451i | \(-0.699765\pi\) | ||||
−0.587188 | + | 0.809451i | \(0.699765\pi\) | |||||||
\(32\) | 176065. | + | 57972.9i | 0.949835 | + | 0.312752i | ||||
\(33\) | −43193.6 | − | 24937.8i | −0.209228 | − | 0.120798i | ||||
\(34\) | −28810.2 | + | 10688.7i | −0.125710 | + | 0.0466387i | ||||
\(35\) | −253969. | − | 146629.i | −1.00125 | − | 0.578071i | ||||
\(36\) | −193257. | + | 166285.i | −0.690361 | + | 0.594013i | ||||
\(37\) | 576988.i | 1.87267i | 0.351109 | + | 0.936335i | \(0.385805\pi\) | ||||
−0.351109 | + | 0.936335i | \(0.614195\pi\) | |||||||
\(38\) | −329734. | − | 75438.9i | −0.974813 | − | 0.223025i | ||||
\(39\) | − | 40020.8i | − | 0.108034i | ||||||
\(40\) | 207240. | + | 344023.i | 0.511994 | + | 0.849918i | ||||
\(41\) | 223725. | + | 129168.i | 0.506957 | + | 0.292692i | 0.731582 | − | 0.681754i | \(-0.238782\pi\) |
−0.224625 | + | 0.974445i | \(0.572116\pi\) | |||||||
\(42\) | 58140.1 | + | 156711.i | 0.121089 | + | 0.326382i | ||||
\(43\) | −555247. | − | 320572.i | −1.06499 | − | 0.614874i | −0.138184 | − | 0.990407i | \(-0.544127\pi\) |
−0.926809 | + | 0.375532i | \(0.877460\pi\) | |||||||
\(44\) | −448969. | + | 84914.2i | −0.794570 | + | 0.150278i | ||||
\(45\) | −552391. | −0.903655 | ||||||||
\(46\) | −43483.2 | − | 7389.79i | −0.0658672 | − | 0.0111939i | ||||
\(47\) | −795845. | + | 459481.i | −1.11811 | + | 0.645543i | −0.940919 | − | 0.338633i | \(-0.890036\pi\) |
−0.177195 | + | 0.984176i | \(0.556702\pi\) | |||||||
\(48\) | 34152.0 | − | 226351.i | 0.0445731 | − | 0.295419i | ||||
\(49\) | −294592. | −0.357713 | ||||||||
\(50\) | 2295.57 | − | 13507.7i | 0.00259714 | − | 0.0152822i | ||||
\(51\) | 18974.2 | + | 32864.4i | 0.0200294 | + | 0.0346920i | ||||
\(52\) | −239137. | − | 277925.i | −0.235849 | − | 0.274104i | ||||
\(53\) | 1.15364e6 | − | 666052.i | 1.06440 | − | 0.614529i | 0.137751 | − | 0.990467i | \(-0.456013\pi\) |
0.926645 | + | 0.375938i | \(0.122679\pi\) | |||||||
\(54\) | 508632. | + | 421450.i | 0.439567 | + | 0.364224i | ||||
\(55\) | −857376. | − | 495007.i | −0.694868 | − | 0.401182i | ||||
\(56\) | 1.34015e6 | + | 740874.i | 1.01975 | + | 0.563750i | ||||
\(57\) | −23621.5 | + | 417054.i | −0.0168945 | + | 0.298284i | ||||
\(58\) | −361781. | − | 61483.2i | −0.243471 | − | 0.0413769i | ||||
\(59\) | 182488. | − | 316079.i | 0.115679 | − | 0.200361i | −0.802372 | − | 0.596824i | \(-0.796429\pi\) |
0.918051 | + | 0.396463i | \(0.129762\pi\) | |||||||
\(60\) | 375962. | − | 323492.i | 0.224706 | − | 0.193346i | ||||
\(61\) | −273227. | − | 473244.i | −0.154124 | − | 0.266950i | 0.778616 | − | 0.627501i | \(-0.215922\pi\) |
−0.932740 | + | 0.360551i | \(0.882589\pi\) | |||||||
\(62\) | 1.69697e6 | + | 1.40611e6i | 0.904283 | + | 0.749286i | ||||
\(63\) | −1.82399e6 | + | 1.05308e6i | −0.919030 | + | 0.530602i | ||||
\(64\) | −1.11535e6 | − | 1.77596e6i | −0.531839 | − | 0.846845i | ||||
\(65\) | − | 794398.i | − | 0.358791i | ||||||
\(66\) | 196276. | + | 529043.i | 0.0840356 | + | 0.226510i | ||||
\(67\) | −917891. | − | 1.58983e6i | −0.372846 | − | 0.645788i | 0.617156 | − | 0.786841i | \(-0.288285\pi\) |
−0.990002 | + | 0.141053i | \(0.954951\pi\) | |||||||
\(68\) | 328141. | + | 114850.i | 0.126555 | + | 0.0442943i | ||||
\(69\) | 54469.0i | 0.0199608i | ||||||||
\(70\) | 1.15406e6 | + | 3.11065e6i | 0.402147 | + | 1.08395i | ||||
\(71\) | 1.42151e6 | − | 2.46213e6i | 0.471353 | − | 0.816407i | −0.528110 | − | 0.849176i | \(-0.677099\pi\) |
0.999463 | + | 0.0327686i | \(0.0104324\pi\) | |||||||
\(72\) | 2.88392e6 | − | 53607.1i | 0.910584 | − | 0.0169262i | ||||
\(73\) | 46991.7 | − | 81392.1i | 0.0141381 | − | 0.0244879i | −0.858870 | − | 0.512194i | \(-0.828833\pi\) |
0.873008 | + | 0.487706i | \(0.162166\pi\) | |||||||
\(74\) | 4.16498e6 | − | 5.02654e6i | 1.19482 | − | 1.44198i | ||||
\(75\) | −16920.3 | −0.00463120 | ||||||||
\(76\) | 2.32799e6 | + | 3.03738e6i | 0.608321 | + | 0.793691i | ||||
\(77\) | −3.77473e6 | −0.942254 | ||||||||
\(78\) | −288889. | + | 348649.i | −0.0689288 | + | 0.0831874i | ||||
\(79\) | 2.06459e6 | − | 3.57597e6i | 0.471127 | − | 0.816016i | −0.528327 | − | 0.849041i | \(-0.677181\pi\) |
0.999455 | + | 0.0330247i | \(0.0105140\pi\) | |||||||
\(80\) | 677905. | − | 4.49298e6i | 0.148032 | − | 0.981114i | ||||
\(81\) | −1.77015e6 | + | 3.06600e6i | −0.370095 | + | 0.641024i | ||||
\(82\) | −1.01663e6 | − | 2.74022e6i | −0.203617 | − | 0.548829i | ||||
\(83\) | − | 6.21446e6i | − | 1.19297i | −0.802624 | − | 0.596485i | \(-0.796563\pi\) | ||
0.802624 | − | 0.596485i | \(-0.203437\pi\) | |||||||
\(84\) | 624716. | − | 1.78490e6i | 0.115002 | − | 0.328577i | ||||
\(85\) | 376632. | + | 652345.i | 0.0665198 | + | 0.115216i | ||||
\(86\) | 2.52310e6 | + | 6.80077e6i | 0.427750 | + | 1.15296i | ||||
\(87\) | 453183.i | 0.0737830i | ||||||||
\(88\) | 4.52423e6 | + | 2.50113e6i | 0.707710 | + | 0.391243i | ||||
\(89\) | 858851. | − | 495858.i | 0.129138 | − | 0.0745577i | −0.434040 | − | 0.900894i | \(-0.642912\pi\) |
0.563177 | + | 0.826336i | \(0.309579\pi\) | |||||||
\(90\) | 4.81226e6 | + | 3.98742e6i | 0.695825 | + | 0.576558i | ||||
\(91\) | −1.51444e6 | − | 2.62309e6i | −0.210673 | − | 0.364896i | ||||
\(92\) | 325469. | + | 378260.i | 0.0435765 | + | 0.0506446i | ||||
\(93\) | 1.36080e6 | − | 2.35697e6i | 0.175430 | − | 0.303853i | ||||
\(94\) | 1.02499e7 | + | 1.74193e6i | 1.27284 | + | 0.216313i | ||||
\(95\) | −468879. | + | 8.27837e6i | −0.0561084 | + | 0.990631i | ||||
\(96\) | −1.93143e6 | + | 1.72537e6i | −0.222808 | + | 0.199037i | ||||
\(97\) | 8.59906e6 | + | 4.96467e6i | 0.956643 | + | 0.552318i | 0.895138 | − | 0.445789i | \(-0.147077\pi\) |
0.0615049 | + | 0.998107i | \(0.480410\pi\) | |||||||
\(98\) | 2.56639e6 | + | 2.12651e6i | 0.275443 | + | 0.228231i | ||||
\(99\) | −6.15762e6 | + | 3.55510e6i | −0.637807 | + | 0.368238i | ||||
\(100\) | −117503. | + | 101104.i | −0.0117503 | + | 0.0101104i | ||||
\(101\) | −2.28665e6 | − | 3.96060e6i | −0.220839 | − | 0.382504i | 0.734224 | − | 0.678907i | \(-0.237546\pi\) |
−0.955063 | + | 0.296403i | \(0.904213\pi\) | |||||||
\(102\) | 71932.9 | − | 423269.i | 0.00671161 | − | 0.0394926i | ||||
\(103\) | −2.13976e7 | −1.92945 | −0.964727 | − | 0.263254i | \(-0.915204\pi\) | ||||
−0.964727 | + | 0.263254i | \(0.915204\pi\) | |||||||
\(104\) | 77092.9 | + | 4.14740e6i | 0.00672044 | + | 0.361542i | ||||
\(105\) | 3.54838e6 | − | 2.04866e6i | 0.299136 | − | 0.172706i | ||||
\(106\) | −1.48580e7 | − | 2.52506e6i | −1.21168 | − | 0.205921i | ||||
\(107\) | 1.23080e7 | 0.971281 | 0.485641 | − | 0.874159i | \(-0.338586\pi\) | ||||
0.485641 | + | 0.874159i | \(0.338586\pi\) | |||||||
\(108\) | −1.38881e6 | − | 7.34309e6i | −0.106086 | − | 0.560913i | ||||
\(109\) | −5.43146e6 | − | 3.13586e6i | −0.401720 | − | 0.231933i | 0.285506 | − | 0.958377i | \(-0.407838\pi\) |
−0.687226 | + | 0.726444i | \(0.741172\pi\) | |||||||
\(110\) | 3.89601e6 | + | 1.05013e7i | 0.279091 | + | 0.752261i | ||||
\(111\) | −6.98149e6 | − | 4.03076e6i | −0.484526 | − | 0.279741i | ||||
\(112\) | −6.32699e6 | − | 1.61281e7i | −0.425534 | − | 1.08473i | ||||
\(113\) | 1.47960e7i | 0.964648i | 0.875993 | + | 0.482324i | \(0.160207\pi\) | ||||
−0.875993 | + | 0.482324i | \(0.839793\pi\) | |||||||
\(114\) | 3.21628e6 | − | 3.46273e6i | 0.203323 | − | 0.218903i | ||||
\(115\) | 1.08119e6i | 0.0662917i | ||||||||
\(116\) | 2.70791e6 | + | 3.14713e6i | 0.161076 | + | 0.187202i | ||||
\(117\) | −4.94095e6 | − | 2.85266e6i | −0.285207 | − | 0.164664i | ||||
\(118\) | −3.87139e6 | + | 1.43630e6i | −0.216910 | + | 0.0804742i | ||||
\(119\) | 2.48726e6 | + | 1.43602e6i | 0.135303 | + | 0.0781173i | ||||
\(120\) | −5.61039e6 | + | 104287.i | −0.296386 | + | 0.00550931i | ||||
\(121\) | 6.74402e6 | 0.346075 | ||||||||
\(122\) | −1.03583e6 | + | 6.09504e6i | −0.0516449 | + | 0.303890i | ||||
\(123\) | −3.12582e6 | + | 1.80470e6i | −0.151460 | + | 0.0874452i | ||||
\(124\) | −4.63356e6 | − | 2.44992e7i | −0.218242 | − | 1.15392i | ||||
\(125\) | −2.20026e7 | −1.00760 | ||||||||
\(126\) | 2.34916e7 | + | 3.99231e6i | 1.04620 | + | 0.177798i | ||||
\(127\) | −7.45497e6 | − | 1.29124e7i | −0.322948 | − | 0.559363i | 0.658147 | − | 0.752890i | \(-0.271341\pi\) |
−0.981095 | + | 0.193527i | \(0.938007\pi\) | |||||||
\(128\) | −3.10319e6 | + | 2.35228e7i | −0.130790 | + | 0.991410i | ||||
\(129\) | 7.75777e6 | − | 4.47895e6i | 0.318180 | − | 0.183701i | ||||
\(130\) | −5.73435e6 | + | 6.92055e6i | −0.228919 | + | 0.276273i | ||||
\(131\) | 2.46184e7 | + | 1.42134e7i | 0.956775 | + | 0.552394i | 0.895179 | − | 0.445707i | \(-0.147048\pi\) |
0.0615957 | + | 0.998101i | \(0.480381\pi\) | |||||||
\(132\) | 2.10899e6 | − | 6.02567e6i | 0.0798114 | − | 0.228032i | ||||
\(133\) | 1.42337e7 | + | 2.82289e7i | 0.524609 | + | 1.04043i | ||||
\(134\) | −3.47980e6 | + | 2.04759e7i | −0.124936 | + | 0.735151i | ||||
\(135\) | 8.09605e6 | − | 1.40228e7i | 0.283208 | − | 0.490530i | ||||
\(136\) | −2.02963e6 | − | 3.36922e6i | −0.0691879 | − | 0.114853i | ||||
\(137\) | −1.88041e7 | − | 3.25696e7i | −0.624783 | − | 1.08216i | −0.988583 | − | 0.150679i | \(-0.951854\pi\) |
0.363799 | − | 0.931477i | \(-0.381479\pi\) | |||||||
\(138\) | 393183. | − | 474517.i | 0.0127356 | − | 0.0153700i | ||||
\(139\) | −2.73538e6 | + | 1.57927e6i | −0.0863904 | + | 0.0498775i | −0.542573 | − | 0.840009i | \(-0.682550\pi\) |
0.456182 | + | 0.889886i | \(0.349216\pi\) | |||||||
\(140\) | 1.24004e7 | − | 3.54296e7i | 0.381933 | − | 1.09124i | ||||
\(141\) | − | 1.28395e7i | − | 0.385728i | ||||||
\(142\) | −3.01566e7 | + | 1.11882e7i | −0.883839 | + | 0.327906i | ||||
\(143\) | −5.11263e6 | − | 8.85533e6i | −0.146207 | − | 0.253238i | ||||
\(144\) | −2.55108e7 | − | 2.03505e7i | −0.711960 | − | 0.567946i | ||||
\(145\) | 8.99551e6i | 0.245040i | ||||||||
\(146\) | −996904. | + | 369854.i | −0.0265105 | + | 0.00983547i | ||||
\(147\) | 2.05798e6 | − | 3.56452e6i | 0.0534356 | − | 0.0925531i | ||||
\(148\) | −7.25680e7 | + | 1.37249e7i | −1.84005 | + | 0.348011i | ||||
\(149\) | 1.11123e7 | − | 1.92471e7i | 0.275202 | − | 0.476664i | −0.694984 | − | 0.719025i | \(-0.744589\pi\) |
0.970186 | + | 0.242361i | \(0.0779219\pi\) | |||||||
\(150\) | 147405. | + | 122139.i | 0.00356608 | + | 0.00295484i | ||||
\(151\) | −4.39960e7 | −1.03990 | −0.519952 | − | 0.854195i | \(-0.674050\pi\) | ||||
−0.519952 | + | 0.854195i | \(0.674050\pi\) | |||||||
\(152\) | 1.64454e6 | − | 4.32652e7i | 0.0379833 | − | 0.999278i | ||||
\(153\) | 5.40988e6 | 0.122115 | ||||||||
\(154\) | 3.28842e7 | + | 2.72478e7i | 0.725547 | + | 0.601186i | ||||
\(155\) | 2.70113e7 | − | 4.67849e7i | 0.582619 | − | 1.00913i | ||||
\(156\) | 5.03343e6 | − | 951981.i | 0.106152 | − | 0.0200767i | ||||
\(157\) | 2.03542e6 | − | 3.52545e6i | 0.0419764 | − | 0.0727053i | −0.844274 | − | 0.535912i | \(-0.819968\pi\) |
0.886250 | + | 0.463207i | \(0.153301\pi\) | |||||||
\(158\) | −4.37991e7 | + | 1.62496e7i | −0.883416 | + | 0.327749i | ||||
\(159\) | 1.86118e7i | 0.367196i | ||||||||
\(160\) | −3.83382e7 | + | 3.42480e7i | −0.739966 | + | 0.661021i | ||||
\(161\) | 2.06118e6 | + | 3.57007e6i | 0.0389247 | + | 0.0674196i | ||||
\(162\) | 3.75529e7 | − | 1.39322e7i | 0.693970 | − | 0.257464i | ||||
\(163\) | 9.97018e7i | 1.80321i | 0.432560 | + | 0.901605i | \(0.357610\pi\) | ||||
−0.432560 | + | 0.901605i | \(0.642390\pi\) | |||||||
\(164\) | −1.09237e7 | + | 3.12105e7i | −0.193382 | + | 0.552519i | ||||
\(165\) | 1.19790e7 | − | 6.91610e6i | 0.207600 | − | 0.119858i | ||||
\(166\) | −4.48589e7 | + | 5.41384e7i | −0.761150 | + | 0.918602i | ||||
\(167\) | 4.43200e7 | + | 7.67645e7i | 0.736364 | + | 1.27542i | 0.954122 | + | 0.299417i | \(0.0967921\pi\) |
−0.217759 | + | 0.976003i | \(0.569875\pi\) | |||||||
\(168\) | −1.83266e7 | + | 1.10400e7i | −0.298194 | + | 0.179633i | ||||
\(169\) | −2.72718e7 | + | 4.72362e7i | −0.434621 | + | 0.752786i | ||||
\(170\) | 1.42784e6 | − | 8.40174e6i | 0.0222899 | − | 0.131159i | ||||
\(171\) | 4.98055e7 | + | 3.26436e7i | 0.761712 | + | 0.499243i | ||||
\(172\) | 2.71107e7 | − | 7.74591e7i | 0.406248 | − | 1.16071i | ||||
\(173\) | 1.14685e8 | + | 6.62135e7i | 1.68402 | + | 0.972267i | 0.958945 | + | 0.283592i | \(0.0915260\pi\) |
0.725070 | + | 0.688675i | \(0.241807\pi\) | |||||||
\(174\) | 3.27129e6 | − | 3.94799e6i | 0.0470757 | − | 0.0568138i | ||||
\(175\) | −1.10901e6 | + | 640288.i | −0.0156424 | + | 0.00903113i | ||||
\(176\) | −2.13594e7 | − | 5.44471e7i | −0.295321 | − | 0.752802i | ||||
\(177\) | 2.54968e6 | + | 4.41617e6i | 0.0345604 | + | 0.0598604i | ||||
\(178\) | −1.10614e7 | − | 1.87984e6i | −0.147008 | − | 0.0249833i | ||||
\(179\) | 9.47297e7 | 1.23453 | 0.617263 | − | 0.786757i | \(-0.288241\pi\) | ||||
0.617263 | + | 0.786757i | \(0.288241\pi\) | |||||||
\(180\) | −1.31398e7 | − | 6.94743e7i | −0.167933 | − | 0.887914i | ||||
\(181\) | −1.14741e7 | + | 6.62460e6i | −0.143829 | + | 0.0830395i | −0.570187 | − | 0.821515i | \(-0.693129\pi\) |
0.426359 | + | 0.904554i | \(0.359796\pi\) | |||||||
\(182\) | −5.74137e6 | + | 3.37835e7i | −0.0705937 | + | 0.415389i | ||||
\(183\) | 7.63492e6 | 0.0920928 | ||||||||
\(184\) | −104925. | − | 5.64468e6i | −0.00124170 | − | 0.0668000i | ||||
\(185\) | −1.38580e8 | − | 8.00092e7i | −1.60916 | − | 0.929049i | ||||
\(186\) | −2.88686e7 | + | 1.07103e7i | −0.328950 | + | 0.122041i | ||||
\(187\) | 8.39679e6 | + | 4.84789e6i | 0.0939004 | + | 0.0542134i | ||||
\(188\) | −7.67200e7 | − | 8.91639e7i | −0.842085 | − | 0.978671i | ||||
\(189\) | − | 6.17373e7i | − | 0.665168i | ||||||
\(190\) | 6.38419e7 | − | 6.87340e7i | 0.675256 | − | 0.726999i | ||||
\(191\) | 4.25968e7i | 0.442344i | 0.975235 | + | 0.221172i | \(0.0709882\pi\) | ||||
−0.975235 | + | 0.221172i | \(0.929012\pi\) | |||||||
\(192\) | 2.92806e7 | − | 1.08893e6i | 0.298556 | − | 0.0111031i | ||||
\(193\) | −7.44295e7 | − | 4.29719e7i | −0.745237 | − | 0.430263i | 0.0787334 | − | 0.996896i | \(-0.474912\pi\) |
−0.823970 | + | 0.566633i | \(0.808246\pi\) | |||||||
\(194\) | −3.90750e7 | − | 1.05323e8i | −0.384232 | − | 1.03566i | ||||
\(195\) | 9.61212e6 | + | 5.54956e6i | 0.0928321 | + | 0.0535966i | ||||
\(196\) | −7.00750e6 | − | 3.70509e7i | −0.0664763 | − | 0.351482i | ||||
\(197\) | 1.36073e8 | 1.26806 | 0.634028 | − | 0.773310i | \(-0.281400\pi\) | ||||
0.634028 | + | 0.773310i | \(0.281400\pi\) | |||||||
\(198\) | 7.93057e7 | + | 1.34777e7i | 0.726066 | + | 0.123392i | ||||
\(199\) | 8.60175e7 | − | 4.96623e7i | 0.773751 | − | 0.446725i | −0.0604600 | − | 0.998171i | \(-0.519257\pi\) |
0.834211 | + | 0.551445i | \(0.185923\pi\) | |||||||
\(200\) | 1.75347e6 | − | 32593.9i | 0.0154986 | − | 0.000288092i | ||||
\(201\) | 2.56491e7 | 0.222785 | ||||||||
\(202\) | −8.66888e6 | + | 5.10097e7i | −0.0740003 | + | 0.435434i | ||||
\(203\) | 1.71491e7 | + | 2.97030e7i | 0.143881 | + | 0.249210i | ||||
\(204\) | −3.68202e6 | + | 3.16815e6i | −0.0303655 | + | 0.0261276i | ||||
\(205\) | −6.20464e7 | + | 3.58225e7i | −0.503012 | + | 0.290414i | ||||
\(206\) | 1.86409e8 | + | 1.54458e8i | 1.48570 | + | 1.23105i | ||||
\(207\) | 6.72471e6 | + | 3.88251e6i | 0.0526959 | + | 0.0304240i | ||||
\(208\) | 2.92663e7 | − | 3.66873e7i | 0.225500 | − | 0.282680i | ||||
\(209\) | 4.80516e7 | + | 9.52984e7i | 0.364079 | + | 0.722060i | ||||
\(210\) | −4.57006e7 | − | 7.76663e6i | −0.340529 | − | 0.0578716i | ||||
\(211\) | 6.77482e7 | − | 1.17343e8i | 0.496489 | − | 0.859944i | −0.503503 | − | 0.863993i | \(-0.667956\pi\) |
0.999992 | + | 0.00404978i | \(0.00128909\pi\) | |||||||
\(212\) | 1.11211e8 | + | 1.29250e8i | 0.801628 | + | 0.931652i | ||||
\(213\) | 1.98610e7 | + | 3.44002e7i | 0.140823 | + | 0.243912i | ||||
\(214\) | −1.07224e8 | − | 8.88452e7i | −0.747898 | − | 0.619706i | ||||
\(215\) | 1.53989e8 | − | 8.89055e7i | 1.05671 | − | 0.610090i | ||||
\(216\) | −4.09071e7 | + | 7.39959e7i | −0.276191 | + | 0.499596i | ||||
\(217\) | − | 2.05978e8i | − | 1.36839i | ||||||
\(218\) | 2.46811e7 | + | 6.65255e7i | 0.161349 | + | 0.434901i | ||||
\(219\) | 656556. | + | 1.13719e6i | 0.00422394 | + | 0.00731607i | ||||
\(220\) | 4.18626e7 | − | 1.19607e8i | 0.265062 | − | 0.757318i | ||||
\(221\) | 7.78001e6i | 0.0484850i | ||||||||
\(222\) | 3.17246e7 | + | 8.55105e7i | 0.194608 | + | 0.524546i | ||||
\(223\) | −1.57773e7 | + | 2.73272e7i | −0.0952723 | + | 0.165016i | −0.909722 | − | 0.415217i | \(-0.863706\pi\) |
0.814450 | + | 0.580234i | \(0.197039\pi\) | |||||||
\(224\) | −6.13016e7 | + | 1.86174e8i | −0.364422 | + | 1.10676i | ||||
\(225\) | −1.20607e6 | + | 2.08897e6i | −0.00705883 | + | 0.0122263i | ||||
\(226\) | 1.06804e8 | − | 1.28898e8i | 0.615474 | − | 0.742791i | ||||
\(227\) | −1.17388e8 | −0.666089 | −0.333045 | − | 0.942911i | \(-0.608076\pi\) | ||||
−0.333045 | + | 0.942911i | \(0.608076\pi\) | |||||||
\(228\) | −5.30149e7 | + | 6.94963e6i | −0.296228 | + | 0.0388320i | ||||
\(229\) | −1.19473e8 | −0.657422 | −0.328711 | − | 0.944431i | \(-0.606614\pi\) | ||||
−0.328711 | + | 0.944431i | \(0.606614\pi\) | |||||||
\(230\) | 7.80454e6 | − | 9.41899e6i | 0.0422961 | − | 0.0510454i | ||||
\(231\) | 2.63697e7 | − | 4.56737e7i | 0.140755 | − | 0.243795i | ||||
\(232\) | −872975. | − | 4.69638e7i | −0.00458980 | − | 0.246919i | ||||
\(233\) | 1.21693e8 | − | 2.10779e8i | 0.630263 | − | 1.09165i | −0.357235 | − | 0.934015i | \(-0.616280\pi\) |
0.987498 | − | 0.157633i | \(-0.0503862\pi\) | |||||||
\(234\) | 2.24522e7 | + | 6.05176e7i | 0.114552 | + | 0.308764i | ||||
\(235\) | − | 2.54859e8i | − | 1.28104i | ||||||
\(236\) | 4.40942e7 | + | 1.54330e7i | 0.218368 | + | 0.0764290i | ||||
\(237\) | 2.88458e7 | + | 4.99624e7i | 0.140755 | + | 0.243795i | ||||
\(238\) | −1.13024e7 | − | 3.04645e7i | −0.0543439 | − | 0.146479i | ||||
\(239\) | 3.42898e8i | 1.62470i | 0.583172 | + | 0.812349i | \(0.301811\pi\) | ||||
−0.583172 | + | 0.812349i | \(0.698189\pi\) | |||||||
\(240\) | 4.96287e7 | + | 3.95899e7i | 0.231736 | + | 0.184861i | ||||
\(241\) | −6.33832e7 | + | 3.65943e7i | −0.291685 | + | 0.168404i | −0.638702 | − | 0.769455i | \(-0.720528\pi\) |
0.347016 | + | 0.937859i | \(0.387195\pi\) | |||||||
\(242\) | −5.87519e7 | − | 4.86816e7i | −0.266482 | − | 0.220806i | ||||
\(243\) | −8.85760e7 | − | 1.53418e8i | −0.395999 | − | 0.685891i | ||||
\(244\) | 5.30207e7 | − | 4.56210e7i | 0.233658 | − | 0.201048i | ||||
\(245\) | 4.08501e7 | − | 7.07545e7i | 0.177465 | − | 0.307378i | ||||
\(246\) | 4.02584e7 | + | 6.84174e6i | 0.172418 | + | 0.0293018i | ||||
\(247\) | −4.69451e7 | + | 7.16258e7i | −0.198222 | + | 0.302434i | ||||
\(248\) | −1.36480e8 | + | 2.46876e8i | −0.568185 | + | 1.02778i | ||||
\(249\) | 7.51941e7 | + | 4.34134e7i | 0.308664 | + | 0.178207i | ||||
\(250\) | 1.91679e8 | + | 1.58825e8i | 0.775864 | + | 0.642878i | ||||
\(251\) | −2.45481e8 | + | 1.41729e8i | −0.979852 | + | 0.565718i | −0.902225 | − | 0.431265i | \(-0.858067\pi\) |
−0.0776263 | + | 0.996983i | \(0.524734\pi\) | |||||||
\(252\) | −1.75833e8 | − | 2.04354e8i | −0.692149 | − | 0.804415i | ||||
\(253\) | 6.95837e6 | + | 1.20522e7i | 0.0270138 | + | 0.0467893i | ||||
\(254\) | −2.82624e7 | + | 1.66302e8i | −0.108216 | + | 0.636766i | ||||
\(255\) | −1.05244e7 | −0.0397472 | ||||||||
\(256\) | 1.96833e8 | − | 1.82523e8i | 0.733258 | − | 0.679950i | ||||
\(257\) | −4.60299e8 | + | 2.65754e8i | −1.69151 | + | 0.976593i | −0.738208 | + | 0.674573i | \(0.764328\pi\) |
−0.953302 | + | 0.302020i | \(0.902339\pi\) | |||||||
\(258\) | −9.99145e7 | − | 1.69801e7i | −0.362209 | − | 0.0615560i | ||||
\(259\) | −6.10118e8 | −2.18205 | ||||||||
\(260\) | 9.99117e7 | − | 1.88965e7i | 0.352541 | − | 0.0666767i | ||||
\(261\) | 5.59497e7 | + | 3.23026e7i | 0.194785 | + | 0.112459i | ||||
\(262\) | −1.11868e8 | − | 3.01530e8i | −0.384284 | − | 1.03580i | ||||
\(263\) | −2.63534e8 | − | 1.52151e8i | −0.893287 | − | 0.515739i | −0.0182707 | − | 0.999833i | \(-0.505816\pi\) |
−0.875016 | + | 0.484094i | \(0.839149\pi\) | |||||||
\(264\) | −6.18690e7 | + | 3.72701e7i | −0.206947 | + | 0.124666i | ||||
\(265\) | 3.69437e8i | 1.21949i | ||||||||
\(266\) | 7.97705e7 | − | 3.48667e8i | 0.259870 | − | 1.13586i | ||||
\(267\) | 1.38560e7i | 0.0445500i | ||||||||
\(268\) | 1.78120e8 | − | 1.53261e8i | 0.565250 | − | 0.486362i | ||||
\(269\) | 3.39735e8 | + | 1.96146e8i | 1.06416 | + | 0.614393i | 0.926580 | − | 0.376098i | \(-0.122734\pi\) |
0.137580 | + | 0.990491i | \(0.456068\pi\) | |||||||
\(270\) | −1.71753e8 | + | 6.37209e7i | −0.531046 | + | 0.197019i | ||||
\(271\) | −1.77235e8 | − | 1.02327e8i | −0.540951 | − | 0.312318i | 0.204513 | − | 0.978864i | \(-0.434439\pi\) |
−0.745464 | + | 0.666546i | \(0.767772\pi\) | |||||||
\(272\) | −6.63912e6 | + | 4.40024e7i | −0.0200041 | + | 0.132582i | ||||
\(273\) | 4.23188e7 | 0.125882 | ||||||||
\(274\) | −7.12877e7 | + | 4.19473e8i | −0.209357 | + | 1.23190i | ||||
\(275\) | −3.74392e6 | + | 2.16156e6i | −0.0108558 | + | 0.00626761i | ||||
\(276\) | −6.85058e6 | + | 1.29566e6i | −0.0196131 | + | 0.00370945i | ||||
\(277\) | −5.32536e8 | −1.50546 | −0.752730 | − | 0.658329i | \(-0.771264\pi\) | ||||
−0.752730 | + | 0.658329i | \(0.771264\pi\) | |||||||
\(278\) | 3.52297e7 | + | 5.98714e6i | 0.0983450 | + | 0.0167133i | ||||
\(279\) | −1.93993e8 | − | 3.36006e8i | −0.534776 | − | 0.926259i | ||||
\(280\) | −3.63776e8 | + | 2.19140e8i | −0.990333 | + | 0.596580i | ||||
\(281\) | 2.58279e8 | − | 1.49117e8i | 0.694412 | − | 0.400919i | −0.110851 | − | 0.993837i | \(-0.535358\pi\) |
0.805263 | + | 0.592918i | \(0.202024\pi\) | |||||||
\(282\) | −9.26816e7 | + | 1.11854e8i | −0.246106 | + | 0.297015i | ||||
\(283\) | −2.32123e8 | − | 1.34016e8i | −0.608787 | − | 0.351483i | 0.163703 | − | 0.986510i | \(-0.447656\pi\) |
−0.772491 | + | 0.635026i | \(0.780989\pi\) | |||||||
\(284\) | 3.43477e8 | + | 1.20217e8i | 0.889781 | + | 0.311424i | ||||
\(285\) | −9.68917e7 | − | 6.35049e7i | −0.247930 | − | 0.162499i | ||||
\(286\) | −1.93824e7 | + | 1.14050e8i | −0.0489921 | + | 0.288281i | ||||
\(287\) | −1.36584e8 | + | 2.36571e8i | −0.341047 | + | 0.590711i | ||||
\(288\) | 7.53425e7 | + | 3.61437e8i | 0.185852 | + | 0.891576i | ||||
\(289\) | 2.01481e8 | + | 3.48975e8i | 0.491011 | + | 0.850456i | ||||
\(290\) | 6.49339e7 | − | 7.83661e7i | 0.156343 | − | 0.188684i | ||||
\(291\) | −1.20144e8 | + | 6.93650e7i | −0.285809 | + | 0.165012i | ||||
\(292\) | 1.13545e7 | + | 3.97408e6i | 0.0266888 | + | 0.00934107i | ||||
\(293\) | − | 4.65498e7i | − | 0.108114i | −0.998538 | − | 0.0540569i | \(-0.982785\pi\) | ||
0.998538 | − | 0.0540569i | \(-0.0172152\pi\) | |||||||
\(294\) | −4.36589e7 | + | 1.61976e7i | −0.100198 | + | 0.0371735i | ||||
\(295\) | 5.06102e7 | + | 8.76594e7i | 0.114779 | + | 0.198802i | ||||
\(296\) | 7.31263e8 | + | 4.04263e8i | 1.63890 | + | 0.906032i | ||||
\(297\) | − | 2.08420e8i | − | 0.461627i | ||||||
\(298\) | −2.35741e8 | + | 8.74606e7i | −0.516034 | + | 0.191450i | ||||
\(299\) | −5.58348e6 | + | 9.67087e6i | −0.0120797 | + | 0.0209226i | ||||
\(300\) | −402486. | − | 2.12807e6i | −0.000860649 | − | 0.00455053i | ||||
\(301\) | 3.38979e8 | − | 5.87129e8i | 0.716457 | − | 1.24094i | ||||
\(302\) | 3.83279e8 | + | 3.17584e8i | 0.800739 | + | 0.663490i | ||||
\(303\) | 6.38970e7 | 0.131957 | ||||||||
\(304\) | −3.26636e8 | + | 3.65042e8i | −0.666817 | + | 0.745222i | ||||
\(305\) | 1.51550e8 | 0.305849 | ||||||||
\(306\) | −4.71292e7 | − | 3.90511e7i | −0.0940298 | − | 0.0779128i | ||||
\(307\) | 2.39812e8 | − | 4.15367e8i | 0.473028 | − | 0.819309i | −0.526495 | − | 0.850178i | \(-0.676494\pi\) |
0.999523 | + | 0.0308691i | \(0.00982750\pi\) | |||||||
\(308\) | −8.97899e7 | − | 4.74748e8i | −0.175106 | − | 0.925840i | ||||
\(309\) | 1.49481e8 | − | 2.58908e8i | 0.288224 | − | 0.499219i | ||||
\(310\) | −5.73030e8 | + | 2.12596e8i | −1.09248 | + | 0.405311i | ||||
\(311\) | − | 2.02843e8i | − | 0.382384i | −0.981553 | − | 0.191192i | \(-0.938765\pi\) | ||
0.981553 | − | 0.191192i | \(-0.0612353\pi\) | |||||||
\(312\) | −5.07216e7 | − | 2.80404e7i | −0.0945478 | − | 0.0522688i | ||||
\(313\) | 3.16069e8 | + | 5.47448e8i | 0.582609 | + | 1.00911i | 0.995169 | + | 0.0981775i | \(0.0313013\pi\) |
−0.412560 | + | 0.910930i | \(0.635365\pi\) | |||||||
\(314\) | −4.31803e7 | + | 1.60200e7i | −0.0787104 | + | 0.0292017i | ||||
\(315\) | − | 5.84108e8i | − | 1.05295i | ||||||
\(316\) | 4.98861e8 | + | 1.74602e8i | 0.889354 | + | 0.311274i | ||||
\(317\) | −7.70000e8 | + | 4.44560e8i | −1.35764 | + | 0.783832i | −0.989305 | − | 0.145863i | \(-0.953404\pi\) |
−0.368332 | + | 0.929694i | \(0.620071\pi\) | |||||||
\(318\) | 1.34349e8 | − | 1.62140e8i | 0.234282 | − | 0.282746i | ||||
\(319\) | 5.78937e7 | + | 1.00275e8i | 0.0998537 | + | 0.172952i | ||||
\(320\) | 5.81209e8 | − | 2.16148e7i | 0.991534 | − | 0.0368745i | ||||
\(321\) | −8.59822e7 | + | 1.48926e8i | −0.145091 | + | 0.251305i | ||||
\(322\) | 7.81410e6 | − | 4.59799e7i | 0.0130432 | − | 0.0767490i | ||||
\(323\) | 4.59200e6 | − | 8.10749e7i | 0.00758217 | − | 0.133868i | ||||
\(324\) | −4.27718e8 | − | 1.49702e8i | −0.698635 | − | 0.244522i | ||||
\(325\) | −3.00417e6 | − | 1.73446e6i | −0.00485437 | − | 0.00280267i | ||||
\(326\) | 7.19695e8 | − | 8.68571e8i | 1.15050 | − | 1.38849i | ||||
\(327\) | 7.58869e7 | − | 4.38133e7i | 0.120019 | − | 0.0692930i | ||||
\(328\) | 3.20456e8 | − | 1.93044e8i | 0.501429 | − | 0.302063i | ||||
\(329\) | −4.85864e8 | − | 8.41541e8i | −0.752193 | − | 1.30284i | ||||
\(330\) | −1.54281e8 | − | 2.62195e7i | −0.236328 | − | 0.0401629i | ||||
\(331\) | 8.07975e8 | 1.22462 | 0.612308 | − | 0.790619i | \(-0.290241\pi\) | ||||
0.612308 | + | 0.790619i | \(0.290241\pi\) | |||||||
\(332\) | 7.81594e8 | − | 1.47824e8i | 1.17219 | − | 0.221698i | ||||
\(333\) | −9.95271e8 | + | 5.74620e8i | −1.47702 | + | 0.852758i | ||||
\(334\) | 1.68021e8 | − | 9.88672e8i | 0.246746 | − | 1.45191i | ||||
\(335\) | 5.09124e8 | 0.739890 | ||||||||
\(336\) | 2.39348e8 | + | 3.61130e7i | 0.344225 | + | 0.0519369i | ||||
\(337\) | −2.44796e7 | − | 1.41333e7i | −0.0348417 | − | 0.0201159i | 0.482478 | − | 0.875908i | \(-0.339737\pi\) |
−0.517320 | + | 0.855792i | \(0.673070\pi\) | |||||||
\(338\) | 5.78557e8 | − | 2.14646e8i | 0.814963 | − | 0.302353i | ||||
\(339\) | −1.79029e8 | − | 1.03363e8i | −0.249589 | − | 0.144100i | ||||
\(340\) | −7.30867e7 | + | 6.28865e7i | −0.100847 | + | 0.0867723i | ||||
\(341\) | − | 6.95362e8i | − | 0.949666i | ||||||
\(342\) | −1.98253e8 | − | 6.43901e8i | −0.267996 | − | 0.870418i | ||||
\(343\) | 5.59323e8i | 0.748399i | ||||||||
\(344\) | −7.95317e8 | + | 4.79102e8i | −1.05338 | + | 0.634561i | ||||
\(345\) | −1.30823e7 | − | 7.55304e6i | −0.0171520 | − | 0.00990273i | ||||
\(346\) | −5.21141e8 | − | 1.40468e9i | −0.676377 | − | 1.82311i | ||||
\(347\) | 2.67827e8 | + | 1.54630e8i | 0.344113 | + | 0.198674i | 0.662089 | − | 0.749425i | \(-0.269670\pi\) |
−0.317976 | + | 0.948099i | \(0.603003\pi\) | |||||||
\(348\) | −5.69969e7 | + | 1.07799e7i | −0.0724977 | + | 0.0137116i | ||||
\(349\) | 8.97764e8 | 1.13051 | 0.565254 | − | 0.824917i | \(-0.308778\pi\) | ||||
0.565254 | + | 0.824917i | \(0.308778\pi\) | |||||||
\(350\) | 1.42833e7 | + | 2.42738e6i | 0.0178069 | + | 0.00302622i | ||||
\(351\) | 1.44833e8 | − | 8.36193e7i | 0.178769 | − | 0.103212i | ||||
\(352\) | −2.06949e8 | + | 6.28509e8i | −0.252909 | + | 0.768090i | ||||
\(353\) | 5.22979e8 | 0.632810 | 0.316405 | − | 0.948624i | \(-0.397524\pi\) | ||||
0.316405 | + | 0.948624i | \(0.397524\pi\) | |||||||
\(354\) | 9.66603e6 | − | 5.68771e7i | 0.0115808 | − | 0.0681438i | ||||
\(355\) | 3.94233e8 | + | 6.82832e8i | 0.467686 | + | 0.810055i | ||||
\(356\) | 8.27938e7 | + | 9.62229e7i | 0.0972575 | + | 0.113033i | ||||
\(357\) | −3.47514e7 | + | 2.00637e7i | −0.0404235 | + | 0.0233385i | ||||
\(358\) | −8.25256e8 | − | 6.83804e8i | −0.950600 | − | 0.787664i | ||||
\(359\) | 8.01172e8 | + | 4.62557e8i | 0.913892 | + | 0.527636i | 0.881681 | − | 0.471845i | \(-0.156412\pi\) |
0.0322107 | + | 0.999481i | \(0.489745\pi\) | |||||||
\(360\) | −3.87029e8 | + | 7.00088e8i | −0.437205 | + | 0.790850i | ||||
\(361\) | 5.31487e8 | − | 7.18699e8i | 0.594590 | − | 0.804029i | ||||
\(362\) | 1.47779e8 | + | 2.51144e7i | 0.163731 | + | 0.0278255i | ||||
\(363\) | −4.71128e7 | + | 8.16018e7i | −0.0516971 | + | 0.0895420i | ||||
\(364\) | 2.93883e8 | − | 2.52868e8i | 0.319389 | − | 0.274814i | ||||
\(365\) | 1.30324e7 | + | 2.25728e7i | 0.0140281 | + | 0.0242974i | ||||
\(366\) | −6.65130e7 | − | 5.51125e7i | −0.0709125 | − | 0.0587579i | ||||
\(367\) | −1.03908e9 | + | 5.99916e8i | −1.09729 | + | 0.633518i | −0.935507 | − | 0.353309i | \(-0.885057\pi\) |
−0.161779 | + | 0.986827i | \(0.551723\pi\) | |||||||
\(368\) | −3.98319e7 | + | 4.99321e7i | −0.0416643 | + | 0.0522291i | ||||
\(369\) | 5.14550e8i | 0.533132i | ||||||||
\(370\) | 6.29721e8 | + | 1.69735e9i | 0.646312 | + | 1.74207i | ||||
\(371\) | 7.04296e8 | + | 1.21988e9i | 0.716055 | + | 1.24024i | ||||
\(372\) | 3.28806e8 | + | 1.15082e8i | 0.331161 | + | 0.115907i | ||||
\(373\) | − | 1.03623e9i | − | 1.03390i | −0.856017 | − | 0.516948i | \(-0.827068\pi\) | ||
0.856017 | − | 0.516948i | \(-0.172932\pi\) | |||||||
\(374\) | −3.81559e7 | − | 1.02845e8i | −0.0377147 | − | 0.101656i | ||||
\(375\) | 1.53707e8 | − | 2.66228e8i | 0.150516 | − | 0.260702i | ||||
\(376\) | 2.47330e7 | + | 1.33057e9i | 0.0239949 | + | 1.29086i | ||||
\(377\) | −4.64546e7 | + | 8.04618e7i | −0.0446513 | + | 0.0773384i | ||||
\(378\) | −4.45650e8 | + | 5.37837e8i | −0.424397 | + | 0.512188i | ||||
\(379\) | 1.20980e9 | 1.14150 | 0.570752 | − | 0.821122i | \(-0.306652\pi\) | ||||
0.570752 | + | 0.821122i | \(0.306652\pi\) | |||||||
\(380\) | −1.05233e9 | + | 1.37948e8i | −0.983802 | + | 0.128965i | ||||
\(381\) | 2.08318e8 | 0.192969 | ||||||||
\(382\) | 3.07484e8 | − | 3.71090e8i | 0.282229 | − | 0.340610i | ||||
\(383\) | −2.15562e8 | + | 3.73364e8i | −0.196054 | + | 0.339576i | −0.947246 | − | 0.320509i | \(-0.896146\pi\) |
0.751191 | + | 0.660084i | \(0.229480\pi\) | |||||||
\(384\) | −2.62944e8 | − | 2.01875e8i | −0.236976 | − | 0.181938i | ||||
\(385\) | 5.23429e8 | − | 9.06606e8i | 0.467461 | − | 0.809666i | ||||
\(386\) | 3.38215e8 | + | 9.11625e8i | 0.299321 | + | 0.806790i | ||||
\(387\) | − | 1.27703e9i | − | 1.11998i | ||||||
\(388\) | −4.19861e8 | + | 1.19960e9i | −0.364917 | + | 1.04262i | ||||
\(389\) | 6.15720e8 | + | 1.06646e9i | 0.530347 | + | 0.918588i | 0.999373 | + | 0.0354035i | \(0.0112716\pi\) |
−0.469026 | + | 0.883184i | \(0.655395\pi\) | |||||||
\(390\) | −4.36784e7 | − | 1.17731e8i | −0.0372856 | − | 0.100500i | ||||
\(391\) | − | 1.05887e7i | − | 0.00895828i | ||||||
\(392\) | −2.06404e8 | + | 3.73360e8i | −0.173068 | + | 0.313059i | ||||
\(393\) | −3.43961e8 | + | 1.98586e8i | −0.285848 | + | 0.165035i | ||||
\(394\) | −1.18542e9 | − | 9.82236e8i | −0.976419 | − | 0.809057i | ||||
\(395\) | 5.72579e8 | + | 9.91736e8i | 0.467461 | + | 0.809667i | ||||
\(396\) | −5.93598e8 | − | 6.89880e8i | −0.480352 | − | 0.558265i | ||||
\(397\) | −4.29262e8 | + | 7.43503e8i | −0.344315 | + | 0.596370i | −0.985229 | − | 0.171242i | \(-0.945222\pi\) |
0.640914 | + | 0.767612i | \(0.278555\pi\) | |||||||
\(398\) | −1.10784e9 | − | 1.88274e8i | −0.880822 | − | 0.149692i | ||||
\(399\) | −4.41001e8 | − | 2.49779e7i | −0.347564 | − | 0.0196857i | ||||
\(400\) | −1.55110e7 | − | 1.23734e7i | −0.0121179 | − | 0.00966674i | ||||
\(401\) | 3.24613e8 | + | 1.87415e8i | 0.251397 | + | 0.145144i | 0.620404 | − | 0.784283i | \(-0.286969\pi\) |
−0.369007 | + | 0.929427i | \(0.620302\pi\) | |||||||
\(402\) | −2.23447e8 | − | 1.85147e8i | −0.171547 | − | 0.142143i | ||||
\(403\) | 4.83214e8 | − | 2.78984e8i | 0.367766 | − | 0.212330i | ||||
\(404\) | 4.43733e8 | − | 3.81804e8i | 0.334801 | − | 0.288075i | ||||
\(405\) | −4.90923e8 | − | 8.50304e8i | −0.367216 | − | 0.636036i | ||||
\(406\) | 6.50135e7 | − | 3.82554e8i | 0.0482128 | − | 0.283695i | ||||
\(407\) | −2.05971e9 | −1.51435 | ||||||||
\(408\) | 5.49458e7 | − | 1.02135e6i | 0.0400520 | − | 0.000744496i | ||||
\(409\) | −1.42214e9 | + | 8.21071e8i | −1.02780 | + | 0.593403i | −0.916355 | − | 0.400368i | \(-0.868882\pi\) |
−0.111449 | + | 0.993770i | \(0.535549\pi\) | |||||||
\(410\) | 7.99114e8 | + | 1.35806e8i | 0.572618 | + | 0.0973141i | ||||
\(411\) | 5.25450e8 | 0.373324 | ||||||||
\(412\) | −5.08987e8 | − | 2.69118e9i | −0.358564 | − | 1.89584i | ||||
\(413\) | 3.34228e8 | + | 1.92967e8i | 0.233463 | + | 0.134790i | ||||
\(414\) | −3.05577e7 | − | 8.23654e7i | −0.0211651 | − | 0.0570484i | ||||
\(415\) | 1.49258e9 | + | 8.61739e8i | 1.02510 | + | 0.591844i | ||||
\(416\) | −5.19786e8 | + | 1.08351e8i | −0.353995 | + | 0.0737913i | ||||
\(417\) | − | 4.41303e7i | − | 0.0298031i | ||||||
\(418\) | 2.69298e8 | − | 1.17707e9i | 0.180350 | − | 0.788288i | ||||
\(419\) | − | 1.87415e9i | − | 1.24467i | −0.782751 | − | 0.622335i | \(-0.786184\pi\) | ||
0.782751 | − | 0.622335i | \(-0.213816\pi\) | |||||||
\(420\) | 3.42067e8 | + | 3.97550e8i | 0.225288 | + | 0.261830i | ||||
\(421\) | 6.74147e8 | + | 3.89219e8i | 0.440319 | + | 0.254218i | 0.703733 | − | 0.710465i | \(-0.251515\pi\) |
−0.263414 | + | 0.964683i | \(0.584849\pi\) | |||||||
\(422\) | −1.43724e9 | + | 5.33220e8i | −0.930972 | + | 0.345393i | ||||
\(423\) | −1.58516e9 | − | 9.15190e8i | −1.01831 | − | 0.587923i | ||||
\(424\) | −3.58523e7 | − | 1.92876e9i | −0.0228421 | − | 1.22885i | ||||
\(425\) | 3.28929e6 | 0.00207846 | ||||||||
\(426\) | 7.52946e7 | − | 4.43050e8i | 0.0471878 | − | 0.277664i | ||||
\(427\) | 5.00417e8 | − | 2.88916e8i | 0.311053 | − | 0.179586i | ||||
\(428\) | 2.92773e8 | + | 1.54798e9i | 0.180500 | + | 0.954362i | ||||
\(429\) | 1.42865e8 | 0.0873622 | ||||||||
\(430\) | −1.98327e9 | − | 3.37048e8i | −1.20293 | − | 0.204433i | ||||
\(431\) | 9.26500e8 | + | 1.60475e9i | 0.557410 | + | 0.965463i | 0.997712 | + | 0.0676129i | \(0.0215383\pi\) |
−0.440301 | + | 0.897850i | \(0.645128\pi\) | |||||||
\(432\) | 8.90507e8 | − | 3.49342e8i | 0.531428 | − | 0.208477i | ||||
\(433\) | −1.43233e9 | + | 8.26958e8i | −0.847884 | + | 0.489526i | −0.859936 | − | 0.510401i | \(-0.829497\pi\) |
0.0120524 | + | 0.999927i | \(0.496164\pi\) | |||||||
\(434\) | −1.48684e9 | + | 1.79441e9i | −0.873075 | + | 1.05368i | ||||
\(435\) | −1.08845e8 | − | 6.28414e7i | −0.0634007 | − | 0.0366044i | ||||
\(436\) | 2.65199e8 | − | 7.57710e8i | 0.153239 | − | 0.437825i | ||||
\(437\) | 6.38931e7 | − | 9.74839e7i | 0.0366242 | − | 0.0558789i | ||||
\(438\) | 2.48906e6 | − | 1.46462e7i | 0.00141539 | − | 0.00832846i | ||||
\(439\) | −6.34530e7 | + | 1.09904e8i | −0.0357953 | + | 0.0619993i | −0.883368 | − | 0.468680i | \(-0.844730\pi\) |
0.847573 | + | 0.530679i | \(0.178063\pi\) | |||||||
\(440\) | −1.22808e9 | + | 7.39798e8i | −0.687292 | + | 0.414027i | ||||
\(441\) | −2.93383e8 | − | 5.08154e8i | −0.162892 | − | 0.282137i | ||||
\(442\) | 5.61598e7 | − | 6.77770e7i | 0.0309348 | − | 0.0373340i | ||||
\(443\) | 5.83458e8 | − | 3.36859e8i | 0.318857 | − | 0.184092i | −0.332026 | − | 0.943270i | \(-0.607732\pi\) |
0.650883 | + | 0.759178i | \(0.274399\pi\) | |||||||
\(444\) | 3.40881e8 | − | 9.73944e8i | 0.184826 | − | 0.528073i | ||||
\(445\) | 2.75036e8i | 0.147955i | ||||||||
\(446\) | 3.34708e8 | − | 1.24177e8i | 0.178646 | − | 0.0662781i | ||||
\(447\) | 1.55258e8 | + | 2.68915e8i | 0.0822200 | + | 0.142409i | ||||
\(448\) | 1.87794e9 | − | 1.17939e9i | 0.986752 | − | 0.619704i | ||||
\(449\) | − | 1.18770e9i | − | 0.619218i | −0.950864 | − | 0.309609i | \(-0.899802\pi\) | ||
0.950864 | − | 0.309609i | \(-0.100198\pi\) | |||||||
\(450\) | 2.55861e7 | − | 9.49250e6i | 0.0132361 | − | 0.00491062i | ||||
\(451\) | −4.61097e8 | + | 7.98643e8i | −0.236687 | + | 0.409954i | ||||
\(452\) | −1.86089e9 | + | 3.51954e8i | −0.947845 | + | 0.179267i | ||||
\(453\) | 3.07350e8 | − | 5.32345e8i | 0.155342 | − | 0.269060i | ||||
\(454\) | 1.02265e9 | + | 8.47361e8i | 0.512897 | + | 0.424984i | ||||
\(455\) | 8.40012e8 | 0.418067 | ||||||||
\(456\) | 5.12015e8 | + | 3.22144e8i | 0.252875 | + | 0.159101i | ||||
\(457\) | 3.18100e8 | 0.155904 | 0.0779520 | − | 0.996957i | \(-0.475162\pi\) | ||||
0.0779520 | + | 0.996957i | \(0.475162\pi\) | |||||||
\(458\) | 1.04081e9 | + | 8.62410e8i | 0.506223 | + | 0.419454i | ||||
\(459\) | −7.92894e7 | + | 1.37333e8i | −0.0382711 | + | 0.0662875i | ||||
\(460\) | −1.35981e8 | + | 2.57184e7i | −0.0651369 | + | 0.0123195i | ||||
\(461\) | −9.37783e8 | + | 1.62429e9i | −0.445809 | + | 0.772164i | −0.998108 | − | 0.0614821i | \(-0.980417\pi\) |
0.552299 | + | 0.833646i | \(0.313751\pi\) | |||||||
\(462\) | −5.59420e8 | + | 2.07546e8i | −0.263931 | + | 0.0979191i | ||||
\(463\) | 3.43315e9i | 1.60753i | 0.594947 | + | 0.803765i | \(0.297173\pi\) | ||||
−0.594947 | + | 0.803765i | \(0.702827\pi\) | |||||||
\(464\) | −3.31402e8 | + | 4.15436e8i | −0.154008 | + | 0.193059i | ||||
\(465\) | 3.77395e8 | + | 6.53667e8i | 0.174065 | + | 0.301489i | ||||
\(466\) | −2.58166e9 | + | 9.57803e8i | −1.18181 | + | 0.438455i | ||||
\(467\) | − | 3.67666e9i | − | 1.67049i | −0.549875 | − | 0.835247i | \(-0.685325\pi\) | ||
0.549875 | − | 0.835247i | \(-0.314675\pi\) | |||||||
\(468\) | 2.41249e8 | − | 6.89281e8i | 0.108794 | − | 0.310839i | ||||
\(469\) | 1.68112e9 | − | 9.70596e8i | 0.752478 | − | 0.434444i | ||||
\(470\) | −1.83970e9 | + | 2.22025e9i | −0.817341 | + | 0.986416i | ||||
\(471\) | 2.84383e7 | + | 4.92566e7i | 0.0125410 | + | 0.0217216i | ||||
\(472\) | −2.72733e8 | − | 4.52741e8i | −0.119382 | − | 0.198177i | ||||
\(473\) | 1.14436e9 | − | 1.98210e9i | 0.497222 | − | 0.861214i | ||||
\(474\) | 1.09357e8 | − | 6.43480e8i | 0.0471652 | − | 0.277531i | ||||
\(475\) | 3.02825e7 | + | 1.98478e7i | 0.0129648 | + | 0.00849738i | ||||
\(476\) | −1.21444e8 | + | 3.46983e8i | −0.0516122 | + | 0.147463i | ||||
\(477\) | 2.29780e9 | + | 1.32664e9i | 0.969389 | + | 0.559677i | ||||
\(478\) | 2.47520e9 | − | 2.98722e9i | 1.03660 | − | 1.25104i | ||||
\(479\) | −3.49501e9 | + | 2.01785e9i | −1.45303 | + | 0.838907i | −0.998652 | − | 0.0519015i | \(-0.983472\pi\) |
−0.454378 | + | 0.890809i | \(0.650138\pi\) | |||||||
\(480\) | −1.46571e8 | − | 7.03139e8i | −0.0604929 | − | 0.290200i | ||||
\(481\) | −8.26367e8 | − | 1.43131e9i | −0.338583 | − | 0.586443i | ||||
\(482\) | 8.16330e8 | + | 1.38732e8i | 0.332048 | + | 0.0564302i | ||||
\(483\) | −5.75965e7 | −0.0232585 | ||||||||
\(484\) | 1.60421e8 | + | 8.48198e8i | 0.0643136 | + | 0.340047i | ||||
\(485\) | −2.38481e9 | + | 1.37687e9i | −0.949200 | + | 0.548021i | ||||
\(486\) | −3.35799e8 | + | 1.97592e9i | −0.132694 | + | 0.780803i | ||||
\(487\) | −4.08612e9 | −1.60310 | −0.801549 | − | 0.597929i | \(-0.795991\pi\) | ||||
−0.801549 | + | 0.597929i | \(0.795991\pi\) | |||||||
\(488\) | −7.91214e8 | + | 1.47073e7i | −0.308194 | + | 0.00572879i | ||||
\(489\) | −1.20638e9 | − | 6.96503e8i | −0.466555 | − | 0.269366i | ||||
\(490\) | −8.66613e8 | + | 3.21516e8i | −0.332766 | + | 0.123457i | ||||
\(491\) | 1.63188e9 | + | 9.42169e8i | 0.622163 | + | 0.359206i | 0.777711 | − | 0.628622i | \(-0.216381\pi\) |
−0.155548 | + | 0.987828i | \(0.549714\pi\) | |||||||
\(492\) | −3.01331e8 | − | 3.50207e8i | −0.114069 | − | 0.132571i | ||||
\(493\) | − | 8.80983e7i | − | 0.0331134i | ||||||
\(494\) | 9.26001e8 | − | 2.85110e8i | 0.345595 | − | 0.106406i | ||||
\(495\) | − | 1.97190e9i | − | 0.730746i | ||||||
\(496\) | 2.97105e9 | − | 1.16553e9i | 1.09326 | − | 0.428882i | ||||
\(497\) | 2.60350e9 | + | 1.50313e9i | 0.951286 | + | 0.549225i | ||||
\(498\) | −3.41690e8 | − | 9.20991e8i | −0.123974 | − | 0.334159i | ||||
\(499\) | −1.73810e9 | − | 1.00349e9i | −0.626213 | − | 0.361544i | 0.153071 | − | 0.988215i | \(-0.451084\pi\) |
−0.779284 | + | 0.626671i | \(0.784417\pi\) | |||||||
\(500\) | −5.23378e8 | − | 2.76727e9i | −0.187249 | − | 0.990048i | ||||
\(501\) | −1.23846e9 | −0.439995 | ||||||||
\(502\) | 3.16162e9 | + | 5.37305e8i | 1.11544 | + | 0.189565i | ||||
\(503\) | 6.26421e8 | − | 3.61664e8i | 0.219472 | − | 0.126712i | −0.386234 | − | 0.922401i | \(-0.626224\pi\) |
0.605706 | + | 0.795689i | \(0.292891\pi\) | |||||||
\(504\) | 5.66851e7 | + | 3.04951e9i | 0.0197225 | + | 1.06102i | ||||
\(505\) | 1.26833e9 | 0.438241 | ||||||||
\(506\) | 2.63797e7 | − | 1.55224e8i | 0.00905198 | − | 0.0532639i | ||||
\(507\) | −3.81035e8 | − | 6.59971e8i | −0.129848 | − | 0.224904i | ||||
\(508\) | 1.44666e9 | − | 1.24476e9i | 0.489603 | − | 0.421273i | ||||
\(509\) | 1.81599e8 | − | 1.04846e8i | 0.0610380 | − | 0.0352403i | −0.469170 | − | 0.883108i | \(-0.655447\pi\) |
0.530208 | + | 0.847867i | \(0.322114\pi\) | |||||||
\(510\) | 9.16853e7 | + | 7.59701e7i | 0.0306058 | + | 0.0253599i | ||||
\(511\) | 8.60655e7 | + | 4.96900e7i | 0.0285336 | + | 0.0164739i | ||||
\(512\) | −3.03228e9 | + | 1.69250e8i | −0.998446 | + | 0.0557294i | ||||
\(513\) | −1.55865e9 | + | 7.85906e8i | −0.509727 | + | 0.257016i | ||||
\(514\) | 5.92832e9 | + | 1.00749e9i | 1.92558 | + | 0.327244i | ||||
\(515\) | 2.96713e9 | − | 5.13923e9i | 0.957220 | − | 1.65795i | ||||
\(516\) | 7.47854e8 | + | 8.69155e8i | 0.239631 | + | 0.278499i | ||||
\(517\) | −1.64023e9 | − | 2.84097e9i | −0.522022 | − | 0.904169i | ||||
\(518\) | 5.31516e9 | + | 4.40413e9i | 1.68021 | + | 1.39221i | ||||
\(519\) | −1.60235e9 | + | 9.25118e8i | −0.503120 | + | 0.290477i | ||||
\(520\) | −1.00680e9 | − | 5.56591e8i | −0.314003 | − | 0.173590i | ||||
\(521\) | 2.36897e8i | 0.0733883i | 0.999327 | + | 0.0366942i | \(0.0116827\pi\) | ||||
−0.999327 | + | 0.0366942i | \(0.988317\pi\) | |||||||
\(522\) | −2.54241e8 | − | 6.85281e8i | −0.0782346 | − | 0.210874i | ||||
\(523\) | −4.93614e8 | − | 8.54964e8i | −0.150880 | − | 0.261332i | 0.780671 | − | 0.624942i | \(-0.214877\pi\) |
−0.931551 | + | 0.363610i | \(0.881544\pi\) | |||||||
\(524\) | −1.20203e9 | + | 3.43436e9i | −0.364968 | + | 1.04276i | ||||
\(525\) | − | 1.78919e7i | − | 0.00539632i | ||||||
\(526\) | 1.19752e9 | + | 3.22781e9i | 0.358785 | + | 0.967069i | ||||
\(527\) | −2.64537e8 | + | 4.58192e8i | −0.0787318 | + | 0.136367i | ||||
\(528\) | 8.08017e8 | + | 1.21914e8i | 0.238892 | + | 0.0360443i | ||||
\(529\) | −1.69481e9 | + | 2.93550e9i | −0.497768 | + | 0.862160i | ||||
\(530\) | 2.66677e9 | − | 3.21842e9i | 0.778074 | − | 0.939026i | ||||
\(531\) | 7.26957e8 | 0.210707 | ||||||||
\(532\) | −3.21178e9 | + | 2.46166e9i | −0.924816 | + | 0.708822i | ||||
\(533\) | −7.39979e8 | −0.211677 | ||||||||
\(534\) | 1.00019e8 | − | 1.20709e8i | 0.0284242 | − | 0.0343041i | ||||
\(535\) | −1.70671e9 | + | 2.95612e9i | −0.481862 | + | 0.834609i | ||||
\(536\) | −2.65804e9 | + | 4.94083e7i | −0.745563 | + | 0.0138587i | ||||
\(537\) | −6.61769e8 | + | 1.14622e9i | −0.184415 | + | 0.319416i | ||||
\(538\) | −1.54379e9 | − | 4.16113e9i | −0.427415 | − | 1.15206i | ||||
\(539\) | − | 1.05162e9i | − | 0.289267i | ||||||
\(540\) | 1.95623e9 | + | 6.84682e8i | 0.534616 | + | 0.187116i | ||||
\(541\) | −1.27272e7 | − | 2.20441e7i | −0.00345574 | − | 0.00598552i | 0.864292 | − | 0.502990i | \(-0.167767\pi\) |
−0.867748 | + | 0.497004i | \(0.834433\pi\) | |||||||
\(542\) | 8.05376e8 | + | 2.17081e9i | 0.217271 | + | 0.585631i | ||||
\(543\) | − | 1.85114e8i | − | 0.0496181i | ||||||
\(544\) | 3.75468e8 | − | 3.35411e8i | 0.0999947 | − | 0.0893266i | ||||
\(545\) | 1.50633e9 | − | 8.69678e8i | 0.398595 | − | 0.230129i | ||||
\(546\) | −3.68668e8 | − | 3.05477e8i | −0.0969307 | − | 0.0803164i | ||||
\(547\) | −2.05459e9 | − | 3.55866e9i | −0.536747 | − | 0.929674i | −0.999077 | − | 0.0429653i | \(-0.986320\pi\) |
0.462329 | − | 0.886708i | \(-0.347014\pi\) | |||||||
\(548\) | 3.64899e9 | − | 3.13973e9i | 0.947198 | − | 0.815005i | ||||
\(549\) | 5.44212e8 | − | 9.42602e8i | 0.140367 | − | 0.243123i | ||||
\(550\) | 4.82191e7 | + | 8.19463e6i | 0.0123580 | + | 0.00210020i | ||||
\(551\) | 5.31591e8 | − | 8.11067e8i | 0.135378 | − | 0.206551i | ||||
\(552\) | 6.90328e7 | + | 3.81634e7i | 0.0174690 | + | 0.00965739i | ||||
\(553\) | 3.78130e9 | + | 2.18313e9i | 0.950829 | + | 0.548962i | ||||
\(554\) | 4.63929e9 | + | 3.84410e9i | 1.15922 | + | 0.960528i | ||||
\(555\) | 1.93620e9 | − | 1.11787e9i | 0.480756 | − | 0.277565i | ||||
\(556\) | −2.63692e8 | − | 3.06463e8i | −0.0650632 | − | 0.0756165i | ||||
\(557\) | −9.88546e8 | − | 1.71221e9i | −0.242384 | − | 0.419821i | 0.719009 | − | 0.695001i | \(-0.244596\pi\) |
−0.961393 | + | 0.275180i | \(0.911263\pi\) | |||||||
\(558\) | −7.35444e8 | + | 4.32752e9i | −0.179197 | + | 1.05443i | ||||
\(559\) | 1.83650e9 | 0.444683 | ||||||||
\(560\) | 4.75096e9 | + | 7.16830e8i | 1.14320 | + | 0.172488i | ||||
\(561\) | −1.17318e8 | + | 6.77334e7i | −0.0280539 | + | 0.0161969i | ||||
\(562\) | −3.32645e9 | − | 5.65316e8i | −0.790503 | − | 0.134343i | ||||
\(563\) | 2.76487e9 | 0.652974 | 0.326487 | − | 0.945202i | \(-0.394135\pi\) | ||||
0.326487 | + | 0.945202i | \(0.394135\pi\) | |||||||
\(564\) | 1.61483e9 | − | 3.05415e8i | 0.379009 | − | 0.0716825i | ||||
\(565\) | −3.55367e9 | − | 2.05171e9i | −0.828910 | − | 0.478571i | ||||
\(566\) | 1.05479e9 | + | 2.84308e9i | 0.244517 | + | 0.659071i | ||||
\(567\) | −3.24204e9 | − | 1.87179e9i | −0.746927 | − | 0.431238i | ||||
\(568\) | −2.12448e9 | − | 3.52667e9i | −0.486445 | − | 0.807506i | ||||
\(569\) | − | 2.23529e9i | − | 0.508675i | −0.967115 | − | 0.254338i | \(-0.918143\pi\) | ||
0.967115 | − | 0.254338i | \(-0.0818574\pi\) | |||||||
\(570\) | 3.85681e8 | + | 1.25265e9i | 0.0872302 | + | 0.283313i | ||||
\(571\) | 2.76685e9i | 0.621955i | 0.950417 | + | 0.310978i | \(0.100656\pi\) | ||||
−0.950417 | + | 0.310978i | \(0.899344\pi\) | |||||||
\(572\) | 9.92123e8 | − | 8.53660e8i | 0.221656 | − | 0.190721i | ||||
\(573\) | −5.15416e8 | − | 2.97576e8i | −0.114450 | − | 0.0660779i | ||||
\(574\) | 2.89756e9 | − | 1.07500e9i | 0.639501 | − | 0.237256i | ||||
\(575\) | 4.08872e6 | + | 2.36063e6i | 0.000896913 | + | 0.000517833i | ||||
\(576\) | 1.95266e9 | − | 3.69258e9i | 0.425744 | − | 0.805103i | ||||
\(577\) | 1.93597e9 | 0.419550 | 0.209775 | − | 0.977750i | \(-0.432727\pi\) | ||||
0.209775 | + | 0.977750i | \(0.432727\pi\) | |||||||
\(578\) | 7.63830e8 | − | 4.49455e9i | 0.164532 | − | 0.968141i | ||||
\(579\) | 1.03991e9 | − | 6.00391e8i | 0.222649 | − | 0.128546i | ||||
\(580\) | −1.13137e9 | + | 2.13977e8i | −0.240772 | + | 0.0455376i | ||||
\(581\) | 6.57128e9 | 1.39006 | ||||||||
\(582\) | 1.54737e9 | + | 2.62968e8i | 0.325359 | + | 0.0552934i | ||||
\(583\) | 2.37764e9 | + | 4.11820e9i | 0.496943 | + | 0.860730i | ||||
\(584\) | −7.02301e7 | − | 1.16583e8i | −0.0145908 | − | 0.0242209i | ||||
\(585\) | 1.37029e9 | − | 7.91138e8i | 0.282987 | − | 0.163383i | ||||
\(586\) | −3.36019e8 | + | 4.05527e8i | −0.0689798 | + | 0.0832489i | ||||
\(587\) | −7.14967e9 | − | 4.12786e9i | −1.45899 | − | 0.842349i | −0.460030 | − | 0.887904i | \(-0.652161\pi\) |
−0.998962 | + | 0.0455545i | \(0.985495\pi\) | |||||||
\(588\) | 4.97265e8 | + | 1.74043e8i | 0.100871 | + | 0.0353049i | ||||
\(589\) | −5.20020e9 | + | 2.62206e9i | −1.04862 | + | 0.528736i | ||||
\(590\) | 1.91867e8 | − | 1.12899e9i | 0.0384608 | − | 0.226312i | ||||
\(591\) | −9.50584e8 | + | 1.64646e9i | −0.189424 | + | 0.328092i | ||||
\(592\) | −3.45237e9 | − | 8.80043e9i | −0.683898 | − | 1.74332i | ||||
\(593\) | −4.26582e9 | − | 7.38861e9i | −0.840061 | − | 1.45503i | −0.889842 | − | 0.456268i | \(-0.849186\pi\) |
0.0497811 | − | 0.998760i | \(-0.484148\pi\) | |||||||
\(594\) | −1.50447e9 | + | 1.81569e9i | −0.294532 | + | 0.355459i | ||||
\(595\) | −6.89802e8 | + | 3.98258e8i | −0.134250 | + | 0.0775094i | ||||
\(596\) | 2.68504e9 | + | 9.39764e8i | 0.519503 | + | 0.181826i | ||||
\(597\) | 1.38774e9i | 0.266929i | ||||||||
\(598\) | 1.18450e8 | − | 4.39454e7i | 0.0226508 | − | 0.00840348i | ||||
\(599\) | 1.69974e8 | + | 2.94404e8i | 0.0323139 | + | 0.0559694i | 0.881730 | − | 0.471754i | \(-0.156379\pi\) |
−0.849416 | + | 0.527724i | \(0.823046\pi\) | |||||||
\(600\) | −1.18551e7 | + | 2.14444e7i | −0.00224066 | + | 0.00405308i | ||||
\(601\) | 7.90667e9i | 1.48571i | 0.669454 | + | 0.742854i | \(0.266528\pi\) | ||||
−0.669454 | + | 0.742854i | \(0.733472\pi\) | |||||||
\(602\) | −7.19126e9 | + | 2.66797e9i | −1.34344 | + | 0.498418i | ||||
\(603\) | 1.82825e9 | − | 3.16662e9i | 0.339566 | − | 0.588146i | ||||
\(604\) | −1.04654e9 | − | 5.53338e9i | −0.193253 | − | 1.02179i | ||||
\(605\) | −9.35173e8 | + | 1.61977e9i | −0.171691 | + | 0.297378i | ||||
\(606\) | −5.56651e8 | − | 4.61239e8i | −0.101608 | − | 0.0841922i | ||||
\(607\) | −2.04911e9 | −0.371881 | −0.185941 | − | 0.982561i | \(-0.559533\pi\) | ||||
−0.185941 | + | 0.982561i | \(0.559533\pi\) | |||||||
\(608\) | 5.48060e9 | − | 8.22321e8i | 0.988930 | − | 0.148381i | ||||
\(609\) | −4.79204e8 | −0.0859726 | ||||||||
\(610\) | −1.32026e9 | − | 1.09396e9i | −0.235508 | − | 0.195141i | ||||
\(611\) | 1.31614e9 | − | 2.27963e9i | 0.233431 | − | 0.404315i | ||||
\(612\) | 1.28686e8 | + | 6.80403e8i | 0.0226934 | + | 0.119988i | ||||
\(613\) | −3.93752e8 | + | 6.81999e8i | −0.0690417 | + | 0.119584i | −0.898480 | − | 0.439015i | \(-0.855327\pi\) |
0.829438 | + | 0.558599i | \(0.188661\pi\) | |||||||
\(614\) | −5.08749e9 | + | 1.88747e9i | −0.886981 | + | 0.329072i | ||||
\(615\) | − | 1.00101e9i | − | 0.173530i | ||||||
\(616\) | −2.64474e9 | + | 4.78401e9i | −0.455880 | + | 0.824631i | ||||
\(617\) | 1.54693e9 | + | 2.67935e9i | 0.265138 | + | 0.459232i | 0.967600 | − | 0.252489i | \(-0.0812493\pi\) |
−0.702462 | + | 0.711721i | \(0.747916\pi\) | |||||||
\(618\) | −3.17115e9 | + | 1.17650e9i | −0.540452 | + | 0.200509i | ||||
\(619\) | 5.23564e9i | 0.887264i | 0.896209 | + | 0.443632i | \(0.146310\pi\) | ||||
−0.896209 | + | 0.443632i | \(0.853690\pi\) | |||||||
\(620\) | 6.52668e9 | + | 2.28434e9i | 1.09982 | + | 0.384937i | ||||
\(621\) | −1.97120e8 | + | 1.13807e8i | −0.0330301 | + | 0.0190699i | ||||
\(622\) | −1.46422e9 | + | 1.76711e9i | −0.243972 | + | 0.294440i | ||||
\(623\) | 5.24330e8 | + | 9.08166e8i | 0.0868753 | + | 0.150472i | ||||
\(624\) | 2.39462e8 | + | 6.10411e8i | 0.0394539 | + | 0.100572i | ||||
\(625\) | 3.00372e9 | − | 5.20259e9i | 0.492129 | − | 0.852393i | ||||
\(626\) | 1.19824e9 | − | 7.05074e9i | 0.195225 | − | 1.14875i | ||||
\(627\) | −1.48878e9 | − | 8.43231e7i | −0.241209 | − | 0.0136619i | ||||
\(628\) | 4.91814e8 | + | 1.72135e8i | 0.0792396 | + | 0.0277339i | ||||
\(629\) | 1.35719e9 | + | 7.83576e8i | 0.217453 | + | 0.125546i | ||||
\(630\) | −4.21637e9 | + | 5.08857e9i | −0.671811 | + | 0.810782i | ||||
\(631\) | −6.66216e9 | + | 3.84640e9i | −1.05563 | + | 0.609469i | −0.924221 | − | 0.381858i | \(-0.875284\pi\) |
−0.131411 | + | 0.991328i | \(0.541951\pi\) | |||||||
\(632\) | −3.08557e9 | − | 5.12209e9i | −0.486211 | − | 0.807119i | ||||
\(633\) | 9.46560e8 | + | 1.63949e9i | 0.148332 | + | 0.256919i | ||||
\(634\) | 9.91705e9 | + | 1.68536e9i | 1.54550 | + | 0.262652i | ||||
\(635\) | 4.13503e9 | 0.640871 | ||||||||
\(636\) | −2.34081e9 | + | 4.42721e8i | −0.360800 | + | 0.0682387i | ||||
\(637\) | 7.30781e8 | − | 4.21917e8i | 0.112021 | − | 0.0646753i | ||||
\(638\) | 2.19480e8 | − | 1.29147e9i | 0.0334597 | − | 0.196884i | ||||
\(639\) | 5.66271e9 | 0.858561 | ||||||||
\(640\) | −5.21934e9 | − | 4.00714e9i | −0.787020 | − | 0.604234i | ||||
\(641\) | −2.70817e9 | − | 1.56357e9i | −0.406138 | − | 0.234484i | 0.282991 | − | 0.959123i | \(-0.408673\pi\) |
−0.689129 | + | 0.724639i | \(0.742007\pi\) | |||||||
\(642\) | 1.82407e9 | − | 6.76733e8i | 0.272062 | − | 0.100936i | ||||
\(643\) | 1.77146e9 | + | 1.02275e9i | 0.262781 | + | 0.151717i | 0.625602 | − | 0.780142i | \(-0.284853\pi\) |
−0.362822 | + | 0.931859i | \(0.618187\pi\) | |||||||
\(644\) | −3.99979e8 | + | 3.44157e8i | −0.0590115 | + | 0.0507757i | ||||
\(645\) | 2.48433e9i | 0.364544i | ||||||||
\(646\) | −6.25242e8 | + | 6.73152e8i | −0.0912502 | + | 0.0982425i | ||||
\(647\) | − | 1.23744e9i | − | 0.179622i | −0.995959 | − | 0.0898110i | \(-0.971374\pi\) | ||
0.995959 | − | 0.0898110i | \(-0.0286263\pi\) | |||||||
\(648\) | 2.64553e9 | + | 4.39163e9i | 0.381945 | + | 0.634035i | ||||
\(649\) | 1.12832e9 | + | 6.51439e8i | 0.162023 | + | 0.0935442i | ||||
\(650\) | 1.36513e7 | + | 3.67956e7i | 0.00194974 | + | 0.00525532i | ||||
\(651\) | 2.49230e9 | + | 1.43893e9i | 0.354052 | + | 0.204412i | ||||
\(652\) | −1.25395e10 | + | 2.37162e9i | −1.77180 | + | 0.335103i | ||||
\(653\) | −5.37149e9 | −0.754916 | −0.377458 | − | 0.926027i | \(-0.623202\pi\) | ||||
−0.377458 | + | 0.926027i | \(0.623202\pi\) | |||||||
\(654\) | −9.77369e8 | − | 1.66100e8i | −0.136627 | − | 0.0232192i | ||||
\(655\) | −6.82750e9 | + | 3.94186e9i | −0.949330 | + | 0.548096i | ||||
\(656\) | −4.18519e9 | − | 6.31466e8i | −0.578832 | − | 0.0873347i | ||||
\(657\) | 1.87195e8 | 0.0257523 | ||||||||
\(658\) | −1.84195e9 | + | 1.08384e10i | −0.252050 | + | 1.48312i | ||||
\(659\) | −2.59930e9 | − | 4.50213e9i | −0.353800 | − | 0.612800i | 0.633112 | − | 0.774060i | \(-0.281777\pi\) |
−0.986912 | + | 0.161261i | \(0.948444\pi\) | |||||||
\(660\) | 1.15479e9 | + | 1.34209e9i | 0.156350 | + | 0.181710i | ||||
\(661\) | 8.15932e9 | − | 4.71079e9i | 1.09888 | − | 0.634437i | 0.162951 | − | 0.986634i | \(-0.447899\pi\) |
0.935926 | + | 0.352197i | \(0.114565\pi\) | |||||||
\(662\) | −7.03883e9 | − | 5.83235e9i | −0.942969 | − | 0.781341i | ||||
\(663\) | −9.41371e7 | − | 5.43501e7i | −0.0125448 | − | 0.00724274i | ||||
\(664\) | −7.87607e9 | − | 4.35412e9i | −1.04405 | − | 0.577181i | ||||
\(665\) | −8.75370e9 | − | 4.95801e8i | −1.15429 | − | 0.0653780i | ||||
\(666\) | 1.28184e10 | + | 2.17843e9i | 1.68141 | + | 0.285748i | ||||
\(667\) | 6.32255e7 | − | 1.09510e8i | 0.00824996 | − | 0.0142894i | ||||
\(668\) | −8.60045e9 | + | 7.40015e9i | −1.11636 | + | 0.960557i | ||||
\(669\) | −2.20437e8 | − | 3.81808e8i | −0.0284638 | − | 0.0493007i | ||||
\(670\) | −4.43533e9 | − | 3.67510e9i | −0.569724 | − | 0.472071i | ||||
\(671\) | 1.68936e9 | − | 9.75354e8i | 0.215871 | − | 0.124633i | ||||
\(672\) | −1.82444e9 | − | 2.04233e9i | −0.231920 | − | 0.259617i | ||||
\(673\) | 1.28640e10i | 1.62676i | 0.581734 | + | 0.813379i | \(0.302374\pi\) | ||||
−0.581734 | + | 0.813379i | \(0.697626\pi\) | |||||||
\(674\) | 1.11238e8 | + | 2.99831e8i | 0.0139940 | + | 0.0377195i | ||||
\(675\) | −3.53532e7 | − | 6.12336e7i | −0.00442452 | − | 0.00766349i | ||||
\(676\) | −6.58963e9 | − | 2.30637e9i | −0.820441 | − | 0.287155i | ||||
\(677\) | 9.36328e9i | 1.15976i | 0.814703 | + | 0.579879i | \(0.196900\pi\) | ||||
−0.814703 | + | 0.579879i | \(0.803100\pi\) | |||||||
\(678\) | 8.13528e8 | + | 2.19278e9i | 0.100246 | + | 0.270204i | ||||
\(679\) | −5.24974e9 | + | 9.09281e9i | −0.643566 | + | 1.11469i | ||||
\(680\) | 1.09065e9 | − | 2.02733e7i | 0.133017 | − | 0.00247254i | ||||
\(681\) | 8.20055e8 | − | 1.42038e9i | 0.0995012 | − | 0.172341i | ||||
\(682\) | −5.01946e9 | + | 6.05778e9i | −0.605915 | + | 0.731254i | ||||
\(683\) | −5.72858e9 | −0.687978 | −0.343989 | − | 0.938974i | \(-0.611778\pi\) | ||||
−0.343989 | + | 0.938974i | \(0.611778\pi\) | |||||||
\(684\) | −2.92087e9 | + | 7.04055e9i | −0.348992 | + | 0.841222i | ||||
\(685\) | 1.04300e10 | 1.23984 | ||||||||
\(686\) | 4.03746e9 | − | 4.87265e9i | 0.477501 | − | 0.576276i | ||||
\(687\) | 8.34620e8 | − | 1.44560e9i | 0.0982064 | − | 0.170099i | ||||
\(688\) | 1.03869e10 | + | 1.56719e9i | 1.21599 | + | 0.183469i | ||||
\(689\) | −1.90785e9 | + | 3.30449e9i | −0.222217 | + | 0.384890i | ||||
\(690\) | 5.94471e7 | + | 1.60234e8i | 0.00688904 | + | 0.0185687i | ||||
\(691\) | − | 9.69474e9i | − | 1.11780i | −0.829236 | − | 0.558899i | \(-0.811224\pi\) | ||
0.829236 | − | 0.558899i | \(-0.188776\pi\) | |||||||
\(692\) | −5.59966e9 | + | 1.59990e10i | −0.642378 | + | 1.83536i | ||||
\(693\) | −3.75923e9 | − | 6.51118e9i | −0.429075 | − | 0.743179i | ||||
\(694\) | −1.21703e9 | − | 3.28039e9i | −0.138211 | − | 0.372535i | ||||
\(695\) | − | 8.75970e8i | − | 0.0989789i | ||||||
\(696\) | 5.74354e8 | + | 3.17520e8i | 0.0645725 | + | 0.0356976i | ||||
\(697\) | 6.07657e8 | − | 3.50831e8i | 0.0679742 | − | 0.0392449i | ||||
\(698\) | −7.82105e9 | − | 6.48049e9i | −0.870504 | − | 0.721297i | ||||
\(699\) | 1.70027e9 | + | 2.94495e9i | 0.188299 | + | 0.326143i | ||||
\(700\) | −1.06909e8 | − | 1.24250e8i | −0.0117807 | − | 0.0136916i | ||||
\(701\) | 5.98965e9 | − | 1.03744e10i | 0.656732 | − | 1.13749i | −0.324725 | − | 0.945809i | \(-0.605272\pi\) |
0.981457 | − | 0.191684i | \(-0.0613950\pi\) | |||||||
\(702\) | −1.86534e9 | − | 3.17007e8i | −0.203507 | − | 0.0345851i | ||||
\(703\) | 7.76670e9 | + | 1.54033e10i | 0.843127 | + | 1.67213i | ||||
\(704\) | 6.33975e9 | − | 3.98152e9i | 0.684807 | − | 0.430075i | ||||
\(705\) | 3.08376e9 | + | 1.78041e9i | 0.331451 | + | 0.191363i | ||||
\(706\) | −4.55604e9 | − | 3.77512e9i | −0.487271 | − | 0.403751i | ||||
\(707\) | 4.18801e9 | − | 2.41795e9i | 0.445697 | − | 0.257323i | ||||
\(708\) | −4.94774e8 | + | 4.25722e8i | −0.0523950 | + | 0.0450827i | ||||
\(709\) | −6.59222e9 | − | 1.14181e10i | −0.694656 | − | 1.20318i | −0.970297 | − | 0.241918i | \(-0.922223\pi\) |
0.275641 | − | 0.961261i | \(-0.411110\pi\) | |||||||
\(710\) | 1.49457e9 | − | 8.79438e9i | 0.156715 | − | 0.922149i | ||||
\(711\) | 8.22444e9 | 0.858150 | ||||||||
\(712\) | −2.66911e7 | − | 1.43591e9i | −0.00277131 | − | 0.149090i | ||||
\(713\) | −6.57662e8 | + | 3.79701e8i | −0.0679500 | + | 0.0392309i | ||||
\(714\) | 4.47573e8 | + | 7.60632e7i | 0.0460172 | + | 0.00782043i | ||||
\(715\) | 2.83581e9 | 0.290139 | ||||||||
\(716\) | 2.25335e9 | + | 1.19142e10i | 0.229421 | + | 1.21302i | ||||
\(717\) | −4.14903e9 | − | 2.39544e9i | −0.420367 | − | 0.242699i | ||||
\(718\) | −3.64060e9 | − | 9.81289e9i | −0.367061 | − | 0.989376i | ||||
\(719\) | −3.44067e9 | − | 1.98647e9i | −0.345217 | − | 0.199311i | 0.317360 | − | 0.948305i | \(-0.397204\pi\) |
−0.662577 | + | 0.748994i | \(0.730537\pi\) | |||||||
\(720\) | 8.42525e9 | − | 3.30519e9i | 0.841239 | − | 0.330014i | ||||
\(721\) | − | 2.26262e10i | − | 2.24822i | ||||||
\(722\) | −9.81807e9 | + | 2.42455e9i | −0.970836 | + | 0.239746i | ||||
\(723\) | − | 1.02257e9i | − | 0.100626i | ||||||
\(724\) | −1.10611e9 | − | 1.28553e9i | −0.108322 | − | 0.125891i | ||||
\(725\) | 3.40183e7 | + | 1.96404e7i | 0.00331535 | + | 0.00191412i | ||||
\(726\) | 9.99474e8 | − | 3.70807e8i | 0.0969378 | − | 0.0359642i | ||||
\(727\) | 1.35288e10 | + | 7.81087e9i | 1.30584 | + | 0.753926i | 0.981399 | − | 0.191980i | \(-0.0614909\pi\) |
0.324440 | + | 0.945906i | \(0.394824\pi\) | |||||||
\(728\) | −4.38554e9 | + | 8.15195e7i | −0.421272 | + | 0.00783072i | ||||
\(729\) | −5.26753e9 | −0.503571 | ||||||||
\(730\) | 4.94068e7 | − | 2.90721e8i | 0.00470064 | − | 0.0276596i | ||||
\(731\) | −1.50810e9 | + | 8.70703e8i | −0.142797 | + | 0.0824441i | ||||
\(732\) | 1.81613e8 | + | 9.60246e8i | 0.0171142 | + | 0.0904886i | ||||
\(733\) | 1.56429e10 | 1.46708 | 0.733538 | − | 0.679648i | \(-0.237867\pi\) | ||||
0.733538 | + | 0.679648i | \(0.237867\pi\) | |||||||
\(734\) | 1.33827e10 | + | 2.27433e9i | 1.24913 | + | 0.212284i | ||||
\(735\) | 5.70747e8 | + | 9.88563e8i | 0.0530198 | + | 0.0918329i | ||||
\(736\) | 7.07437e8 | − | 1.47467e8i | 0.0654056 | − | 0.0136340i | ||||
\(737\) | 5.67532e9 | − | 3.27665e9i | 0.522221 | − | 0.301504i | ||||
\(738\) | 3.71427e9 | − | 4.48260e9i | 0.340154 | − | 0.410518i | ||||
\(739\) | 1.66473e10 | + | 9.61134e9i | 1.51736 | + | 0.876049i | 0.999792 | + | 0.0204077i | \(0.00649642\pi\) |
0.517569 | + | 0.855641i | \(0.326837\pi\) | |||||||
\(740\) | 6.76636e9 | − | 1.93324e10i | 0.613824 | − | 1.75378i | ||||
\(741\) | −5.38711e8 | − | 1.06840e9i | −0.0486398 | − | 0.0964649i | ||||
\(742\) | 2.67004e9 | − | 1.57111e10i | 0.239941 | − | 1.41187i | ||||
\(743\) | −7.27660e8 | + | 1.26034e9i | −0.0650830 | + | 0.112727i | −0.896731 | − | 0.442576i | \(-0.854065\pi\) |
0.831648 | + | 0.555303i | \(0.187398\pi\) | |||||||
\(744\) | −2.03374e9 | − | 3.37604e9i | −0.181046 | − | 0.300540i | ||||
\(745\) | 3.08181e9 | + | 5.33786e9i | 0.273061 | + | 0.472955i | ||||
\(746\) | −7.48003e9 | + | 9.02735e9i | −0.659656 | + | 0.796112i | ||||
\(747\) | 1.07196e10 | − | 6.18895e9i | 0.940926 | − | 0.543244i | ||||
\(748\) | −4.09985e8 | + | 1.17138e9i | −0.0358189 | + | 0.102340i | ||||
\(749\) | 1.30147e10i | 1.13175i | ||||||||
\(750\) | −3.26081e9 | + | 1.20977e9i | −0.282235 | + | 0.104710i | ||||
\(751\) | 8.19552e9 | + | 1.41951e10i | 0.706052 | + | 1.22292i | 0.966310 | + | 0.257379i | \(0.0828590\pi\) |
−0.260258 | + | 0.965539i | \(0.583808\pi\) | |||||||
\(752\) | 9.38922e9 | − | 1.17700e10i | 0.805132 | − | 1.00929i | ||||
\(753\) | − | 3.96039e9i | − | 0.338030i | ||||||
\(754\) | 9.85510e8 | − | 3.65626e8i | 0.0837262 | − | 0.0310626i | ||||
\(755\) | 6.10078e9 | − | 1.05669e10i | 0.515906 | − | 0.893576i | ||||
\(756\) | 7.76473e9 | − | 1.46855e9i | 0.653582 | − | 0.123613i | ||||
\(757\) | −1.14355e10 | + | 1.98069e10i | −0.958121 | + | 1.65951i | −0.231064 | + | 0.972939i | \(0.574221\pi\) |
−0.727058 | + | 0.686576i | \(0.759113\pi\) | |||||||
\(758\) | −1.05394e10 | − | 8.73294e9i | −0.878972 | − | 0.728313i | ||||
\(759\) | −1.94441e8 | −0.0161414 | ||||||||
\(760\) | 1.01633e10 | + | 6.39444e9i | 0.839823 | + | 0.528390i | ||||
\(761\) | −9.08358e9 | −0.747155 | −0.373577 | − | 0.927599i | \(-0.621869\pi\) | ||||
−0.373577 | + | 0.927599i | \(0.621869\pi\) | |||||||
\(762\) | −1.81480e9 | − | 1.50374e9i | −0.148589 | − | 0.123120i | ||||
\(763\) | 3.31591e9 | − | 5.74333e9i | 0.270251 | − | 0.468088i | ||||
\(764\) | −5.35741e9 | + | 1.01326e9i | −0.434639 | + | 0.0822039i | ||||
\(765\) | −7.50172e8 | + | 1.29934e9i | −0.0605823 | + | 0.104932i | ||||
\(766\) | 4.57303e9 | − | 1.69660e9i | 0.367624 | − | 0.136389i | ||||
\(767\) | 1.04544e9i | 0.0836599i | ||||||||
\(768\) | 8.33456e8 | + | 3.65673e9i | 0.0663924 | + | 0.291292i | ||||
\(769\) | −1.18131e9 | − | 2.04610e9i | −0.0936749 | − | 0.162250i | 0.815380 | − | 0.578926i | \(-0.196528\pi\) |
−0.909055 | + | 0.416677i | \(0.863195\pi\) | |||||||
\(770\) | −1.11043e10 | + | 4.11971e9i | −0.876542 | + | 0.325199i | ||||
\(771\) | − | 7.42609e9i | − | 0.583539i | ||||||
\(772\) | 3.63412e9 | − | 1.03832e10i | 0.284275 | − | 0.812214i | ||||
\(773\) | −1.84651e10 | + | 1.06608e10i | −1.43788 | + | 0.830163i | −0.997703 | − | 0.0677460i | \(-0.978419\pi\) |
−0.440182 | + | 0.897909i | \(0.645086\pi\) | |||||||
\(774\) | −9.21818e9 | + | 1.11251e10i | −0.714582 | + | 0.862400i | ||||
\(775\) | −1.17951e8 | − | 2.04297e8i | −0.00910217 | − | 0.0157654i | ||||
\(776\) | 1.23170e10 | − | 7.41980e9i | 0.946213 | − | 0.570002i | ||||
\(777\) | 4.26221e9 | − | 7.38236e9i | 0.325957 | − | 0.564575i | ||||
\(778\) | 2.33425e9 | − | 1.37352e10i | 0.177712 | − | 1.04570i | ||||
\(779\) | 7.71127e9 | + | 4.36759e8i | 0.584446 | + | 0.0331025i | ||||
\(780\) | −4.69325e8 | + | 1.34093e9i | −0.0354114 | + | 0.101175i | ||||
\(781\) | 8.78920e9 | + | 5.07445e9i | 0.660193 | + | 0.381163i | ||||
\(782\) | −7.64344e7 | + | 9.22456e7i | −0.00571565 | + | 0.00689798i | ||||
\(783\) | −1.64004e9 | + | 9.46878e8i | −0.122092 | + | 0.0704901i | ||||
\(784\) | 4.49322e9 | − | 1.76267e9i | 0.333005 | − | 0.130637i | ||||
\(785\) | 5.64490e8 | + | 9.77726e8i | 0.0416498 | + | 0.0721395i | ||||
\(786\) | 4.42997e9 | + | 7.52856e8i | 0.325403 | + | 0.0553010i | ||||
\(787\) | 8.22701e9 | 0.601631 | 0.300816 | − | 0.953682i | \(-0.402741\pi\) | ||||
0.300816 | + | 0.953682i | \(0.402741\pi\) | |||||||
\(788\) | 3.23678e9 | + | 1.71139e10i | 0.235652 | + | 1.24597i | ||||
\(789\) | 3.68202e9 | − | 2.12582e9i | 0.266880 | − | 0.154084i | ||||
\(790\) | 2.17069e9 | − | 1.27728e10i | 0.156640 | − | 0.921707i | ||||
\(791\) | −1.56455e10 | −1.12402 | ||||||||
\(792\) | 1.91364e8 | + | 1.02949e10i | 0.0136874 | + | 0.736349i | ||||
\(793\) | 1.35557e9 | + | 7.82636e8i | 0.0965305 | + | 0.0557319i | ||||
\(794\) | 9.10656e9 | − | 3.37855e9i | 0.645628 | − | 0.239530i | ||||
\(795\) | −4.47014e9 | − | 2.58084e9i | −0.315527 | − | 0.182170i | ||||
\(796\) | 8.29215e9 | + | 9.63713e9i | 0.582735 | + | 0.677255i | ||||
\(797\) | − | 1.99775e10i | − | 1.39778i | −0.715231 | − | 0.698888i | \(-0.753679\pi\) | ||
0.715231 | − | 0.698888i | \(-0.246321\pi\) | |||||||
\(798\) | 3.66156e9 | + | 3.40095e9i | 0.255068 | + | 0.236914i | ||||
\(799\) | 2.49598e9i | 0.173112i | ||||||||
\(800\) | 4.58094e7 | + | 2.19759e8i | 0.00316329 | + | 0.0151751i | ||||
\(801\) | 1.71065e9 | + | 9.87645e8i | 0.117611 | + | 0.0679027i | ||||
\(802\) | −1.47507e9 | − | 3.97591e9i | −0.100972 | − | 0.272161i | ||||
\(803\) | 2.90550e8 | + | 1.67749e8i | 0.0198023 | + | 0.0114329i | ||||
\(804\) | 6.10118e8 | + | 3.22589e9i | 0.0414016 | + | 0.218904i | ||||
\(805\) | −1.14327e9 | −0.0772437 | ||||||||
\(806\) | −6.22345e9 | − | 1.05765e9i | −0.418657 | − | 0.0711490i | ||||
\(807\) | −4.74668e9 | + | 2.74050e9i | −0.317931 | + | 0.183557i | ||||
\(808\) | −6.62171e9 | + | 1.23086e8i | −0.441601 | + | 0.00820860i | ||||
\(809\) | 1.47748e10 | 0.981075 | 0.490538 | − | 0.871420i | \(-0.336800\pi\) | ||||
0.490538 | + | 0.871420i | \(0.336800\pi\) | |||||||
\(810\) | −1.86113e9 | + | 1.09513e10i | −0.123049 | + | 0.724050i | ||||
\(811\) | 4.20637e9 | + | 7.28565e9i | 0.276907 | + | 0.479618i | 0.970615 | − | 0.240639i | \(-0.0773571\pi\) |
−0.693707 | + | 0.720257i | \(0.744024\pi\) | |||||||
\(812\) | −3.32783e9 | + | 2.86339e9i | −0.218130 | + | 0.187687i | ||||
\(813\) | 2.47629e9 | − | 1.42968e9i | 0.161616 | − | 0.0933089i | ||||
\(814\) | 1.79435e10 | + | 1.48679e10i | 1.16606 | + | 0.966197i | ||||
\(815\) | −2.39462e10 | − | 1.38253e10i | −1.54947 | − | 0.894590i | ||||
\(816\) | −4.86043e8 | − | 3.87727e8i | −0.0313155 | − | 0.0249811i | ||||
\(817\) | −1.91381e10 | − | 1.08396e9i | −1.22778 | − | 0.0695403i | ||||
\(818\) | 1.83161e10 | + | 3.11275e9i | 1.17003 | + | 0.198842i | ||||
\(819\) | 3.01645e9 | − | 5.22465e9i | 0.191868 | − | 0.332325i | ||||
\(820\) | −5.98132e9 | − | 6.95148e9i | −0.378834 | − | 0.440280i | ||||
\(821\) | 1.39516e10 | + | 2.41648e10i | 0.879878 | + | 1.52399i | 0.851474 | + | 0.524397i | \(0.175709\pi\) |
0.0284038 | + | 0.999597i | \(0.490958\pi\) | |||||||
\(822\) | −4.57756e9 | − | 3.79295e9i | −0.287464 | − | 0.238191i | ||||
\(823\) | −1.52618e10 | + | 8.81138e9i | −0.954344 | + | 0.550991i | −0.894428 | − | 0.447212i | \(-0.852417\pi\) |
−0.0599165 | + | 0.998203i | \(0.519083\pi\) | |||||||
\(824\) | −1.49921e10 | + | 2.71188e10i | −0.933505 | + | 1.68860i | ||||
\(825\) | − | 6.04014e7i | − | 0.00374505i | ||||||
\(826\) | −1.51877e9 | − | 4.09368e9i | −0.0937693 | − | 0.252746i | ||||
\(827\) | −1.26750e10 | − | 2.19538e10i | −0.779254 | − | 1.34971i | −0.932372 | − | 0.361499i | \(-0.882265\pi\) |
0.153119 | − | 0.988208i | \(-0.451068\pi\) | |||||||
\(828\) | −3.28343e8 | + | 9.38122e8i | −0.0201012 | + | 0.0574319i | ||||
\(829\) | − | 2.22344e10i | − | 1.35545i | −0.735314 | − | 0.677726i | \(-0.762966\pi\) | ||
0.735314 | − | 0.677726i | \(-0.237034\pi\) | |||||||
\(830\) | −6.78241e9 | − | 1.82813e10i | −0.411729 | − | 1.10977i | ||||
\(831\) | 3.72022e9 | − | 6.44361e9i | 0.224887 | − | 0.389516i | ||||
\(832\) | 5.31034e9 | + | 2.80814e9i | 0.319662 | + | 0.169039i | ||||
\(833\) | −4.00069e8 | + | 6.92940e8i | −0.0239816 | + | 0.0415373i | ||||
\(834\) | −3.18554e8 | + | 3.84450e8i | −0.0190152 | + | 0.0229487i | ||||
\(835\) | −2.45829e10 | −1.46127 | ||||||||
\(836\) | −1.08427e10 | + | 8.31034e9i | −0.641823 | + | 0.491923i | ||||
\(837\) | 1.13730e10 | 0.670401 | ||||||||
\(838\) | −1.35285e10 | + | 1.63270e10i | −0.794136 | + | 0.958411i | ||||
\(839\) | 2.05500e9 | − | 3.55937e9i | 0.120128 | − | 0.208068i | −0.799690 | − | 0.600413i | \(-0.795003\pi\) |
0.919818 | + | 0.392345i | \(0.128336\pi\) | |||||||
\(840\) | −1.10275e8 | − | 5.93253e9i | −0.00641950 | − | 0.345352i | ||||
\(841\) | −8.09890e9 | + | 1.40277e10i | −0.469505 | + | 0.813206i | ||||
\(842\) | −3.06339e9 | − | 8.25707e9i | −0.176852 | − | 0.476687i | ||||
\(843\) | 4.16686e9i | 0.239559i | ||||||||
\(844\) | 1.63698e10 | + | 5.72945e9i | 0.937230 | + | 0.328031i | ||||
\(845\) | −7.56340e9 | − | 1.31002e10i | −0.431239 | − | 0.746928i | ||||
\(846\) | 7.20311e9 | + | 1.94153e10i | 0.409000 | + | 1.10242i | ||||
\(847\) | 7.13126e9i | 0.403250i | ||||||||
\(848\) | −1.36104e10 | + | 1.70615e10i | −0.766451 | + | 0.960800i | ||||
\(849\) | 3.24316e9 | − | 1.87244e9i | 0.181883 | − | 0.105010i | ||||
\(850\) | −2.86553e7 | − | 2.37437e7i | −0.00160044 | − | 0.00132612i | ||||
\(851\) | 1.12470e9 | + | 1.94803e9i | 0.0625580 | + | 0.108354i | ||||
\(852\) | −3.85409e9 | + | 3.31621e9i | −0.213493 | + | 0.183697i | ||||
\(853\) | 8.50582e9 | − | 1.47325e10i | 0.469239 | − | 0.812746i | −0.530142 | − | 0.847909i | \(-0.677862\pi\) |
0.999382 | + | 0.0351624i | \(0.0111948\pi\) | |||||||
\(854\) | −6.44501e9 | − | 1.09530e9i | −0.354096 | − | 0.0601771i | ||||
\(855\) | −1.47467e10 | + | 7.43560e9i | −0.806886 | + | 0.406850i | ||||
\(856\) | 8.62354e9 | − | 1.55989e10i | 0.469924 | − | 0.850035i | ||||
\(857\) | 7.82162e8 | + | 4.51581e8i | 0.0424486 | + | 0.0245077i | 0.521074 | − | 0.853511i | \(-0.325532\pi\) |
−0.478626 | + | 0.878019i | \(0.658865\pi\) | |||||||
\(858\) | −1.24459e9 | − | 1.03126e9i | −0.0672700 | − | 0.0557397i | ||||
\(859\) | 1.22074e10 | − | 7.04796e9i | 0.657125 | − | 0.379392i | −0.134055 | − | 0.990974i | \(-0.542800\pi\) |
0.791181 | + | 0.611582i | \(0.209467\pi\) | |||||||
\(860\) | 1.48446e10 | + | 1.72524e10i | 0.795838 | + | 0.924922i | ||||
\(861\) | −1.90832e9 | − | 3.30531e9i | −0.101892 | − | 0.176482i | ||||
\(862\) | 3.51244e9 | − | 2.06680e10i | 0.186781 | − | 1.09906i | ||||
\(863\) | −1.54117e10 | −0.816229 | −0.408115 | − | 0.912931i | \(-0.633814\pi\) | ||||
−0.408115 | + | 0.912931i | \(0.633814\pi\) | |||||||
\(864\) | −1.02795e10 | − | 3.38474e9i | −0.542220 | − | 0.178537i | ||||
\(865\) | −3.18061e10 | + | 1.83632e10i | −1.67091 | + | 0.964702i | ||||
\(866\) | 1.84474e10 | + | 3.13506e9i | 0.965213 | + | 0.164034i | ||||
\(867\) | −5.63007e9 | −0.293391 | ||||||||
\(868\) | 2.59059e10 | − | 4.89962e9i | 1.34456 | − | 0.254298i | ||||
\(869\) | 1.27653e10 | + | 7.37006e9i | 0.659876 | + | 0.380980i | ||||
\(870\) | 4.94601e8 | + | 1.33315e9i | 0.0254646 | + | 0.0686374i | ||||
\(871\) | 4.55394e9 | + | 2.62922e9i | 0.233520 | + | 0.134823i | ||||
\(872\) | −7.77984e9 | + | 4.68660e9i | −0.397341 | + | 0.239359i | ||||
\(873\) | 1.97772e10i | 1.00604i | ||||||||
\(874\) | −1.26030e9 | + | 3.88039e8i | −0.0638535 | + | 0.0196601i | ||||
\(875\) | − | 2.32659e10i | − | 1.17406i | ||||||
\(876\) | −1.27407e8 | + | 1.09626e8i | −0.00640367 | + | 0.00550995i | ||||
\(877\) | 8.32634e9 | + | 4.80721e9i | 0.416827 | + | 0.240655i | 0.693719 | − | 0.720246i | \(-0.255971\pi\) |
−0.276892 | + | 0.960901i | \(0.589304\pi\) | |||||||
\(878\) | 1.34612e9 | − | 4.99414e8i | 0.0671202 | − | 0.0249018i | ||||
\(879\) | 5.63246e8 | + | 3.25191e8i | 0.0279729 | + | 0.0161502i | ||||
\(880\) | 1.60388e10 | + | 2.41996e9i | 0.793384 | + | 0.119707i | ||||
\(881\) | −1.92413e10 | −0.948021 | −0.474010 | − | 0.880519i | \(-0.657194\pi\) | ||||
−0.474010 | + | 0.880519i | \(0.657194\pi\) | |||||||
\(882\) | −1.11224e9 | + | 6.54466e9i | −0.0545830 | + | 0.321179i | ||||
\(883\) | 5.03497e9 | − | 2.90694e9i | 0.246113 | − | 0.142093i | −0.371870 | − | 0.928285i | \(-0.621283\pi\) |
0.617983 | + | 0.786191i | \(0.287950\pi\) | |||||||
\(884\) | −9.78494e8 | + | 1.85064e8i | −0.0476404 | + | 0.00901030i | ||||
\(885\) | −1.41422e9 | −0.0685830 | ||||||||
\(886\) | −7.51452e9 | − | 1.27706e9i | −0.362980 | − | 0.0616870i | ||||
\(887\) | −2.03629e10 | − | 3.52695e10i | −0.979730 | − | 1.69694i | −0.663350 | − | 0.748309i | \(-0.730866\pi\) |
−0.316380 | − | 0.948633i | \(-0.602467\pi\) | |||||||
\(888\) | −1.00000e10 | + | 6.02406e9i | −0.479244 | + | 0.288698i | ||||
\(889\) | 1.36538e10 | − | 7.88303e9i | 0.651775 | − | 0.376302i | ||||
\(890\) | 1.98534e9 | − | 2.39603e9i | 0.0943997 | − | 0.113927i | ||||
\(891\) | −1.09449e10 | − | 6.31901e9i | −0.518368 | − | 0.299280i | ||||
\(892\) | −3.81224e9 | − | 1.33429e9i | −0.179847 | − | 0.0629466i | ||||
\(893\) | −1.50609e10 | + | 2.29790e10i | −0.707738 | + | 1.07982i | ||||
\(894\) | 5.88595e8 | − | 3.46343e9i | 0.0275509 | − | 0.162116i | ||||
\(895\) | −1.31359e10 | + | 2.27520e10i | −0.612460 | + | 1.06081i | ||||
\(896\) | −2.48734e10 | − | 3.28137e9i | −1.15520 | − | 0.152397i | ||||
\(897\) | −7.80109e7 | − | 1.35119e8i | −0.00360896 | − | 0.00625089i | ||||
\(898\) | −8.57337e9 | + | 1.03469e10i | −0.395079 | + | 0.476805i | ||||
\(899\) | −5.47176e9 | + | 3.15912e9i | −0.251170 | + | 0.145013i | ||||
\(900\) | −2.91419e8 | − | 1.01997e8i | −0.0133251 | − | 0.00466378i | ||||
\(901\) | − | 3.61811e9i | − | 0.164796i | ||||||
\(902\) | 9.78192e9 | − | 3.62911e9i | 0.443814 | − | 0.164656i | ||||
\(903\) | 4.73613e9 | + | 8.20321e9i | 0.214050 | + | 0.370746i | ||||
\(904\) | 1.87521e10 | + | 1.03667e10i | 0.844230 | + | 0.466715i | ||||
\(905\) | − | 3.67445e9i | − | 0.164787i | ||||||
\(906\) | −6.52026e9 | + | 2.41903e9i | −0.291284 | + | 0.108067i | ||||
\(907\) | −6.41186e9 | + | 1.11057e10i | −0.285337 | + | 0.494219i | −0.972691 | − | 0.232104i | \(-0.925439\pi\) |
0.687354 | + | 0.726323i | \(0.258772\pi\) | |||||||
\(908\) | −2.79232e9 | − | 1.47639e10i | −0.123784 | − | 0.654486i | ||||
\(909\) | 4.55453e9 | − | 7.88868e9i | 0.201127 | − | 0.348362i | ||||
\(910\) | −7.31793e9 | − | 6.06361e9i | −0.321916 | − | 0.266739i | ||||
\(911\) | −1.57590e10 | −0.690579 | −0.345289 | − | 0.938496i | \(-0.612219\pi\) | ||||
−0.345289 | + | 0.938496i | \(0.612219\pi\) | |||||||
\(912\) | −2.13513e9 | − | 6.50239e9i | −0.0932057 | − | 0.283851i | ||||
\(913\) | 2.21841e10 | 0.964703 | ||||||||
\(914\) | −2.77119e9 | − | 2.29620e9i | −0.120048 | − | 0.0994713i | ||||
\(915\) | −1.05871e9 | + | 1.83374e9i | −0.0456881 | + | 0.0791341i | ||||
\(916\) | −2.84191e9 | − | 1.50261e10i | −0.122173 | − | 0.645970i | ||||
\(917\) | −1.50295e10 | + | 2.60319e10i | −0.643655 | + | 1.11484i | ||||
\(918\) | 1.68208e9 | − | 6.24056e8i | 0.0717625 | − | 0.0266241i | ||||
\(919\) | 2.07622e10i | 0.882407i | 0.897407 | + | 0.441204i | \(0.145448\pi\) | ||||
−0.897407 | + | 0.441204i | \(0.854552\pi\) | |||||||
\(920\) | 1.37028e9 | + | 7.57529e8i | 0.0580164 | + | 0.0320732i | ||||
\(921\) | 3.35059e9 | + | 5.80340e9i | 0.141323 | + | 0.244779i | ||||
\(922\) | 1.98946e10 | − | 7.38092e9i | 0.835942 | − | 0.310136i | ||||
\(923\) | 8.14360e9i | 0.340887i | ||||||||
\(924\) | 6.37166e9 | + | 2.23008e9i | 0.265705 | + | 0.0929970i | ||||
\(925\) | −6.05140e8 | + | 3.49378e8i | −0.0251397 | + | 0.0145144i | ||||
\(926\) | 2.47821e10 | − | 2.99085e10i | 1.02565 | − | 1.23782i | ||||
\(927\) | −2.13097e10 | − | 3.69096e10i | −0.878616 | − | 1.52181i | ||||
\(928\) | 5.88589e9 | − | 1.22693e9i | 0.241765 | − | 0.0503966i | ||||
\(929\) | 2.07241e10 | − | 3.58952e10i | 0.848049 | − | 1.46886i | −0.0348982 | − | 0.999391i | \(-0.511111\pi\) |
0.882947 | − | 0.469473i | \(-0.155556\pi\) | |||||||
\(930\) | 1.43073e9 | − | 8.41876e9i | 0.0583268 | − | 0.343208i | ||||
\(931\) | −7.86444e9 | + | 3.96543e9i | −0.319407 | + | 0.161052i | ||||
\(932\) | 2.94045e10 | + | 1.02916e10i | 1.18976 | + | 0.416415i | ||||
\(933\) | 2.45438e9 | + | 1.41704e9i | 0.0989364 | + | 0.0571209i | ||||
\(934\) | −2.65399e10 | + | 3.20300e10i | −1.06582 | + | 1.28630i | ||||
\(935\) | −2.32871e9 | + | 1.34448e9i | −0.0931698 | + | 0.0537916i | ||||
\(936\) | −7.07724e9 | + | 4.26336e9i | −0.282097 | + | 0.169936i | ||||
\(937\) | −1.50990e10 | − | 2.61522e10i | −0.599596 | − | 1.03853i | −0.992881 | − | 0.119114i | \(-0.961995\pi\) |
0.393285 | − | 0.919417i | \(-0.371339\pi\) | |||||||
\(938\) | −2.16516e10 | − | 3.67961e9i | −0.856605 | − | 0.145577i | ||||
\(939\) | −8.83207e9 | −0.348123 | ||||||||
\(940\) | 3.20537e10 | − | 6.06237e9i | 1.25873 | − | 0.238065i | ||||
\(941\) | −3.02003e10 | + | 1.74361e10i | −1.18154 | + | 0.682160i | −0.956369 | − | 0.292160i | \(-0.905626\pi\) |
−0.225167 | + | 0.974320i | \(0.572293\pi\) | |||||||
\(942\) | 1.07812e8 | − | 6.34390e8i | 0.00420232 | − | 0.0247274i | ||||
\(943\) | 1.00712e9 | 0.0391104 | ||||||||
\(944\) | −8.92137e8 | + | 5.91285e9i | −0.0345167 | + | 0.228768i | ||||
\(945\) | 1.48280e10 | + | 8.56092e9i | 0.571571 | + | 0.329996i | ||||
\(946\) | −2.42771e10 | + | 9.00685e9i | −0.932346 | + | 0.345903i | ||||
\(947\) | 2.21996e10 | + | 1.28170e10i | 0.849416 | + | 0.490411i | 0.860454 | − | 0.509528i | \(-0.170180\pi\) |
−0.0110374 | + | 0.999939i | \(0.503513\pi\) | |||||||
\(948\) | −5.59763e9 | + | 4.81641e9i | −0.213391 | + | 0.183609i | ||||
\(949\) | 2.69208e8i | 0.0102248i | ||||||||
\(950\) | −1.20541e8 | − | 3.91502e8i | −0.00456143 | − | 0.0148150i | ||||
\(951\) | − | 1.24225e10i | − | 0.468359i | ||||||
\(952\) | 3.56267e9 | − | 2.14617e9i | 0.133828 | − | 0.0806184i | ||||
\(953\) | −1.26157e10 | − | 7.28368e9i | −0.472157 | − | 0.272600i | 0.244985 | − | 0.969527i | \(-0.421217\pi\) |
−0.717142 | + | 0.696927i | \(0.754550\pi\) | |||||||
\(954\) | −1.04414e10 | − | 2.81439e10i | −0.389351 | − | 1.04946i | ||||
\(955\) | −1.02308e10 | − | 5.90676e9i | −0.380101 | − | 0.219451i | ||||
\(956\) | −4.31264e10 | + | 8.15657e9i | −1.59640 | + | 0.301929i | ||||
\(957\) | −1.61775e9 | −0.0596650 | ||||||||
\(958\) | 4.50133e10 | + | 7.64982e9i | 1.65410 | + | 0.281107i | ||||
\(959\) | 3.44397e10 | − | 1.98838e10i | 1.26094 | − | 0.728004i | ||||
\(960\) | −3.79871e9 | + | 7.18355e9i | −0.138576 | + | 0.262054i | ||||
\(961\) | 1.04316e10 | 0.379158 | ||||||||
\(962\) | −3.13282e9 | + | 1.84342e10i | −0.113455 | + | 0.667594i | ||||
\(963\) | 1.22575e10 | + | 2.12306e10i | 0.442293 | + | 0.766074i | ||||
\(964\) | −6.11018e9 | − | 7.10125e9i | −0.219677 | − | 0.255308i | ||||
\(965\) | 2.06418e10 | − | 1.19175e10i | 0.739438 | − | 0.426915i | ||||
\(966\) | 5.01763e8 | + | 4.15759e8i | 0.0179093 | + | 0.0148396i | ||||
\(967\) | 9.71662e9 | + | 5.60989e9i | 0.345559 | + | 0.199509i | 0.662728 | − | 0.748861i | \(-0.269399\pi\) |
−0.317168 | + | 0.948369i | \(0.602732\pi\) | |||||||
\(968\) | 4.72516e9 | − | 8.54724e9i | 0.167438 | − | 0.302874i | ||||
\(969\) | 9.48917e8 | + | 6.21941e8i | 0.0335039 | + | 0.0219592i | ||||
\(970\) | 3.07146e10 | + | 5.21982e9i | 1.08055 | + | 0.183635i | ||||
\(971\) | 2.46620e10 | − | 4.27158e10i | 0.864492 | − | 1.49734i | −0.00305936 | − | 0.999995i | \(-0.500974\pi\) |
0.867551 | − | 0.497348i | \(-0.165693\pi\) | |||||||
\(972\) | 1.71885e10 | − | 1.47896e10i | 0.600352 | − | 0.516565i | ||||
\(973\) | −1.66995e9 | − | 2.89244e9i | −0.0581178 | − | 0.100663i | ||||
\(974\) | 3.55971e10 | + | 2.94956e10i | 1.23441 | + | 1.02282i | ||||
\(975\) | 4.19735e7 | − | 2.42334e7i | 0.00145030 | − | 0.000837333i | ||||
\(976\) | 6.99898e9 | + | 5.58324e9i | 0.240968 | + | 0.192226i | ||||
\(977\) | − | 2.39217e10i | − | 0.820656i | −0.911938 | − | 0.410328i | \(-0.865414\pi\) | ||
0.911938 | − | 0.410328i | \(-0.134586\pi\) | |||||||
\(978\) | 5.48191e9 | + | 1.47759e10i | 0.187390 | + | 0.505090i | ||||
\(979\) | 1.77009e9 | + | 3.06589e9i | 0.0602915 | + | 0.104428i | ||||
\(980\) | 9.87052e9 | + | 3.45469e9i | 0.335003 | + | 0.117251i | ||||
\(981\) | − | 1.24919e10i | − | 0.422463i | ||||||
\(982\) | −7.41545e9 | − | 1.99876e10i | −0.249889 | − | 0.673551i | ||||
\(983\) | −6.47446e8 | + | 1.12141e9i | −0.0217403 | + | 0.0376554i | −0.876691 | − | 0.481054i | \(-0.840254\pi\) |
0.854951 | + | 0.518710i | \(0.173587\pi\) | |||||||
\(984\) | 9.71432e7 | + | 5.22605e9i | 0.00325035 | + | 0.174860i | ||||
\(985\) | −1.88687e10 | + | 3.26816e10i | −0.629095 | + | 1.08962i | ||||
\(986\) | −6.35936e8 | + | 7.67485e8i | −0.0211273 | + | 0.0254977i | ||||
\(987\) | 1.35767e10 | 0.449454 | ||||||||
\(988\) | −1.01251e10 | − | 4.20053e9i | −0.334002 | − | 0.138565i | ||||
\(989\) | −2.49951e9 | −0.0821614 | ||||||||
\(990\) | −1.42341e10 | + | 1.71786e10i | −0.466237 | + | 0.562683i | ||||
\(991\) | −1.27325e10 | + | 2.20534e10i | −0.415581 | + | 0.719808i | −0.995489 | − | 0.0948739i | \(-0.969755\pi\) |
0.579908 | + | 0.814682i | \(0.303089\pi\) | |||||||
\(992\) | −3.42962e10 | − | 1.12927e10i | −1.11546 | − | 0.367288i | ||||
\(993\) | −5.64440e9 | + | 9.77639e9i | −0.182935 | + | 0.316852i | ||||
\(994\) | −1.18306e10 | − | 3.18882e10i | −0.382080 | − | 1.02986i | ||||
\(995\) | 2.75460e10i | 0.886499i | ||||||||
\(996\) | −3.67146e9 | + | 1.04899e10i | −0.117742 | + | 0.336405i | ||||
\(997\) | −1.75107e9 | − | 3.03294e9i | −0.0559590 | − | 0.0969238i | 0.836689 | − | 0.547678i | \(-0.184488\pi\) |
−0.892648 | + | 0.450755i | \(0.851155\pi\) | |||||||
\(998\) | 7.89809e9 | + | 2.12885e10i | 0.251516 | + | 0.677936i | ||||
\(999\) | − | 3.36874e10i | − | 1.06903i |
(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 | 76.8.f.a.27.14 | yes | 136 | |
4.3 | odd | 2 | inner | 76.8.f.a.27.9 | ✓ | 136 | |
19.12 | odd | 6 | inner | 76.8.f.a.31.9 | yes | 136 | |
76.31 | even | 6 | inner | 76.8.f.a.31.14 | yes | 136 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.8.f.a.27.9 | ✓ | 136 | 4.3 | odd | 2 | inner | |
76.8.f.a.27.14 | yes | 136 | 1.1 | even | 1 | trivial | |
76.8.f.a.31.9 | yes | 136 | 19.12 | odd | 6 | inner | |
76.8.f.a.31.14 | yes | 136 | 76.31 | even | 6 | inner |