Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,7,Mod(7,76)]
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, 2]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.7");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.g (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: | \(17.4841103551\) |
Analytic rank: | \(0\) |
Dimension: | \(116\) |
Relative dimension: | \(58\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 7.14 | ||
Character | \(\chi\) | \(=\) | 76.7 |
Dual form | 76.7.g.a.11.14 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −5.97766 | + | 5.31672i | −0.747208 | + | 0.664591i | ||||
\(3\) | −4.45729 | + | 2.57342i | −0.165085 | + | 0.0953118i | −0.580266 | − | 0.814427i | \(-0.697051\pi\) |
0.415181 | + | 0.909739i | \(0.363718\pi\) | |||||||
\(4\) | 7.46487 | − | 63.5632i | 0.116639 | − | 0.993174i | ||||
\(5\) | 64.1001 | + | 111.025i | 0.512801 | + | 0.888198i | 0.999890 | + | 0.0148451i | \(0.00472551\pi\) |
−0.487089 | + | 0.873353i | \(0.661941\pi\) | |||||||
\(6\) | 12.9620 | − | 39.0812i | 0.0600094 | − | 0.180932i | ||||
\(7\) | − | 508.357i | − | 1.48209i | −0.671455 | − | 0.741045i | \(-0.734330\pi\) | ||
0.671455 | − | 0.741045i | \(-0.265670\pi\) | |||||||
\(8\) | 293.325 | + | 419.648i | 0.572901 | + | 0.819625i | ||||
\(9\) | −351.255 | + | 608.392i | −0.481831 | + | 0.834556i | ||||
\(10\) | −973.457 | − | 322.865i | −0.973457 | − | 0.322865i | ||||
\(11\) | − | 207.224i | − | 0.155691i | −0.996965 | − | 0.0778453i | \(-0.975196\pi\) | ||
0.996965 | − | 0.0778453i | \(-0.0248040\pi\) | |||||||
\(12\) | 130.301 | + | 302.530i | 0.0754059 | + | 0.175075i | ||||
\(13\) | −827.736 | + | 1433.68i | −0.376757 | + | 0.652563i | −0.990588 | − | 0.136875i | \(-0.956294\pi\) |
0.613831 | + | 0.789437i | \(0.289628\pi\) | |||||||
\(14\) | 2702.79 | + | 3038.79i | 0.984983 | + | 1.10743i | ||||
\(15\) | −571.426 | − | 329.913i | −0.169311 | − | 0.0977520i | ||||
\(16\) | −3984.55 | − | 948.982i | −0.972791 | − | 0.231685i | ||||
\(17\) | −1472.03 | − | 2549.63i | −0.299619 | − | 0.518955i | 0.676430 | − | 0.736507i | \(-0.263526\pi\) |
−0.976049 | + | 0.217552i | \(0.930193\pi\) | |||||||
\(18\) | −1134.97 | − | 5504.29i | −0.194610 | − | 0.943807i | ||||
\(19\) | −6586.99 | + | 1912.45i | −0.960342 | + | 0.278823i | ||||
\(20\) | 7535.58 | − | 3245.62i | 0.941948 | − | 0.405703i | ||||
\(21\) | 1308.21 | + | 2265.89i | 0.141261 | + | 0.244671i | ||||
\(22\) | 1101.75 | + | 1238.72i | 0.103470 | + | 0.116333i | ||||
\(23\) | −3173.03 | − | 1831.95i | −0.260790 | − | 0.150567i | 0.363905 | − | 0.931436i | \(-0.381443\pi\) |
−0.624695 | + | 0.780869i | \(0.714777\pi\) | |||||||
\(24\) | −2387.37 | − | 1115.64i | −0.172697 | − | 0.0807034i | ||||
\(25\) | −405.156 | + | 701.751i | −0.0259300 | + | 0.0449121i | ||||
\(26\) | −2674.56 | − | 12970.9i | −0.152171 | − | 0.737989i | ||||
\(27\) | − | 7367.75i | − | 0.374320i | ||||||
\(28\) | −32312.8 | − | 3794.82i | −1.47197 | − | 0.172869i | ||||
\(29\) | 18351.1 | − | 31785.1i | 0.752435 | − | 1.30326i | −0.194205 | − | 0.980961i | \(-0.562213\pi\) |
0.946639 | − | 0.322294i | \(-0.104454\pi\) | |||||||
\(30\) | 5169.85 | − | 1066.01i | 0.191476 | − | 0.0394817i | ||||
\(31\) | − | 34971.1i | − | 1.17388i | −0.809631 | − | 0.586940i | \(-0.800332\pi\) | ||
0.809631 | − | 0.586940i | \(-0.199668\pi\) | |||||||
\(32\) | 28863.8 | − | 15512.1i | 0.880853 | − | 0.473391i | ||||
\(33\) | 533.274 | + | 923.658i | 0.0148391 | + | 0.0257021i | ||||
\(34\) | 22355.0 | + | 7414.44i | 0.568771 | + | 0.188643i | ||||
\(35\) | 56440.2 | − | 32585.8i | 1.31639 | − | 0.760018i | ||||
\(36\) | 36049.2 | + | 26868.4i | 0.772660 | + | 0.575884i | ||||
\(37\) | 11397.6 | 0.225013 | 0.112507 | − | 0.993651i | \(-0.464112\pi\) | ||||
0.112507 | + | 0.993651i | \(0.464112\pi\) | |||||||
\(38\) | 29206.8 | − | 46453.2i | 0.532272 | − | 0.846574i | ||||
\(39\) | − | 8520.44i | − | 0.143638i | ||||||
\(40\) | −27789.1 | + | 59465.8i | −0.434204 | + | 0.929154i | ||||
\(41\) | −56264.0 | − | 97452.2i | −0.816355 | − | 1.41397i | −0.908351 | − | 0.418210i | \(-0.862658\pi\) |
0.0919951 | − | 0.995759i | \(-0.470676\pi\) | |||||||
\(42\) | −19867.2 | − | 6589.33i | −0.268157 | − | 0.0889393i | ||||
\(43\) | −69432.1 | + | 40086.6i | −0.873283 | + | 0.504190i | −0.868438 | − | 0.495798i | \(-0.834876\pi\) |
−0.00484489 | + | 0.999988i | \(0.501542\pi\) | |||||||
\(44\) | −13171.8 | − | 1546.90i | −0.154628 | − | 0.0181595i | ||||
\(45\) | −90062.0 | −0.988335 | ||||||||
\(46\) | 28707.3 | − | 5919.36i | 0.294930 | − | 0.0608137i | ||||
\(47\) | −74886.2 | − | 43235.6i | −0.721288 | − | 0.416436i | 0.0939388 | − | 0.995578i | \(-0.470054\pi\) |
−0.815226 | + | 0.579142i | \(0.803388\pi\) | |||||||
\(48\) | 20202.4 | − | 6024.03i | 0.182675 | − | 0.0544707i | ||||
\(49\) | −140778. | −1.19659 | ||||||||
\(50\) | −1309.13 | − | 6348.93i | −0.0104730 | − | 0.0507915i | ||||
\(51\) | 13122.5 | + | 7576.29i | 0.0989251 | + | 0.0571144i | ||||
\(52\) | 84950.3 | + | 63315.8i | 0.604164 | + | 0.450300i | ||||
\(53\) | −29201.4 | + | 50578.3i | −0.196145 | + | 0.339732i | −0.947275 | − | 0.320421i | \(-0.896176\pi\) |
0.751131 | + | 0.660154i | \(0.229509\pi\) | |||||||
\(54\) | 39172.3 | + | 44041.9i | 0.248770 | + | 0.279695i | ||||
\(55\) | 23007.0 | − | 13283.1i | 0.138284 | − | 0.0798383i | ||||
\(56\) | 213331. | − | 149114.i | 1.21476 | − | 0.849091i | ||||
\(57\) | 24438.6 | − | 25475.4i | 0.131963 | − | 0.137561i | ||||
\(58\) | 59295.7 | + | 287568.i | 0.303906 | + | 1.47386i | ||||
\(59\) | −48714.4 | + | 28125.3i | −0.237193 | + | 0.136943i | −0.613886 | − | 0.789395i | \(-0.710394\pi\) |
0.376693 | + | 0.926338i | \(0.377061\pi\) | |||||||
\(60\) | −25235.9 | + | 33858.9i | −0.116833 | + | 0.156754i | ||||
\(61\) | −17846.4 | + | 30910.9i | −0.0786251 | + | 0.136183i | −0.902657 | − | 0.430361i | \(-0.858386\pi\) |
0.824032 | + | 0.566543i | \(0.191720\pi\) | |||||||
\(62\) | 185931. | + | 209045.i | 0.780149 | + | 0.877132i | ||||
\(63\) | 309280. | + | 178563.i | 1.23689 | + | 0.714117i | ||||
\(64\) | −90064.5 | + | 246187.i | −0.343569 | + | 0.939128i | ||||
\(65\) | −212232. | −0.772806 | ||||||||
\(66\) | −8098.57 | − | 2686.04i | −0.0281693 | − | 0.00934289i | ||||
\(67\) | −61241.0 | − | 35357.5i | −0.203619 | − | 0.117559i | 0.394723 | − | 0.918800i | \(-0.370840\pi\) |
−0.598342 | + | 0.801241i | \(0.704174\pi\) | |||||||
\(68\) | −173051. | + | 74534.1i | −0.550360 | + | 0.237044i | ||||
\(69\) | 18857.5 | 0.0574034 | ||||||||
\(70\) | −164131. | + | 494863.i | −0.478515 | + | 1.44275i | ||||
\(71\) | 358000. | − | 206692.i | 1.00025 | − | 0.577495i | 0.0919277 | − | 0.995766i | \(-0.470697\pi\) |
0.908322 | + | 0.418271i | \(0.137364\pi\) | |||||||
\(72\) | −358342. | + | 31053.3i | −0.960065 | + | 0.0831974i | ||||
\(73\) | −305921. | − | 529870.i | −0.786394 | − | 1.36208i | −0.928163 | − | 0.372175i | \(-0.878612\pi\) |
0.141768 | − | 0.989900i | \(-0.454721\pi\) | |||||||
\(74\) | −68131.0 | + | 60597.9i | −0.168132 | + | 0.149542i | ||||
\(75\) | − | 4170.54i | − | 0.00988573i | ||||||
\(76\) | 72390.3 | + | 432966.i | 0.164907 | + | 0.986309i | ||||
\(77\) | −105344. | −0.230747 | ||||||||
\(78\) | 45300.8 | + | 50932.3i | 0.0954602 | + | 0.107327i | ||||
\(79\) | −304769. | + | 175959.i | −0.618144 | + | 0.356886i | −0.776146 | − | 0.630553i | \(-0.782828\pi\) |
0.158002 | + | 0.987439i | \(0.449495\pi\) | |||||||
\(80\) | −150050. | − | 503213.i | −0.293066 | − | 0.982839i | ||||
\(81\) | −237105. | − | 410677.i | −0.446154 | − | 0.772762i | ||||
\(82\) | 854454. | + | 283396.i | 1.54970 | + | 0.513986i | ||||
\(83\) | 675982.i | 1.18223i | 0.806589 | + | 0.591113i | \(0.201311\pi\) | ||||
−0.806589 | + | 0.591113i | \(0.798689\pi\) | |||||||
\(84\) | 153793. | − | 66239.7i | 0.259477 | − | 0.111758i | ||||
\(85\) | 188714. | − | 326863.i | 0.307290 | − | 0.532242i | ||||
\(86\) | 201912. | − | 608776.i | 0.317444 | − | 0.957110i | ||||
\(87\) | 188901.i | 0.286864i | ||||||||
\(88\) | 86961.1 | − | 60784.1i | 0.127608 | − | 0.0891953i | ||||
\(89\) | −569694. | + | 986739.i | −0.808112 | + | 1.39969i | 0.106058 | + | 0.994360i | \(0.466177\pi\) |
−0.914170 | + | 0.405331i | \(0.867156\pi\) | |||||||
\(90\) | 538360. | − | 478835.i | 0.738491 | − | 0.656838i | ||||
\(91\) | 728821. | + | 420785.i | 0.967157 | + | 0.558388i | ||||
\(92\) | −140131. | + | 188013.i | −0.179958 | + | 0.241448i | ||||
\(93\) | 89995.1 | + | 155876.i | 0.111885 | + | 0.193790i | ||||
\(94\) | 677516. | − | 139702.i | 0.815711 | − | 0.168197i | ||||
\(95\) | −634556. | − | 608730.i | −0.740115 | − | 0.709993i | ||||
\(96\) | −88735.2 | + | 143420.i | −0.100296 | + | 0.162105i | ||||
\(97\) | −325526. | − | 563827.i | −0.356673 | − | 0.617775i | 0.630730 | − | 0.776002i | \(-0.282756\pi\) |
−0.987403 | + | 0.158227i | \(0.949422\pi\) | |||||||
\(98\) | 841522. | − | 748477.i | 0.894102 | − | 0.795243i | ||||
\(99\) | 126073. | + | 72788.5i | 0.129933 | + | 0.0750166i | ||||
\(100\) | 41581.1 | + | 30991.5i | 0.0415811 | + | 0.0309915i | ||||
\(101\) | 238645. | − | 413346.i | 0.231627 | − | 0.401190i | −0.726660 | − | 0.686997i | \(-0.758928\pi\) |
0.958287 | + | 0.285808i | \(0.0922618\pi\) | |||||||
\(102\) | −118723. | + | 24480.3i | −0.111875 | + | 0.0230684i | ||||
\(103\) | − | 1.75153e6i | − | 1.60290i | −0.598065 | − | 0.801448i | \(-0.704063\pi\) | ||
0.598065 | − | 0.801448i | \(-0.295937\pi\) | |||||||
\(104\) | −844437. | + | 73177.3i | −0.750701 | + | 0.0650544i | ||||
\(105\) | −167714. | + | 290488.i | −0.144877 | + | 0.250935i | ||||
\(106\) | −94354.9 | − | 457596.i | −0.0792222 | − | 0.384206i | ||||
\(107\) | − | 693676.i | − | 0.566246i | −0.959084 | − | 0.283123i | \(-0.908630\pi\) | ||
0.959084 | − | 0.283123i | \(-0.0913705\pi\) | |||||||
\(108\) | −468317. | − | 54999.3i | −0.371765 | − | 0.0436602i | ||||
\(109\) | 768422. | + | 1.33095e6i | 0.593363 | + | 1.02773i | 0.993776 | + | 0.111400i | \(0.0355334\pi\) |
−0.400413 | + | 0.916335i | \(0.631133\pi\) | |||||||
\(110\) | −66905.5 | + | 201724.i | −0.0502671 | + | 0.151558i | ||||
\(111\) | −50802.4 | + | 29330.8i | −0.0371463 | + | 0.0214464i | ||||
\(112\) | −482422. | + | 2.02557e6i | −0.343378 | + | 1.44176i | ||||
\(113\) | 1.51427e6 | 1.04947 | 0.524734 | − | 0.851266i | \(-0.324165\pi\) | ||||
0.524734 | + | 0.851266i | \(0.324165\pi\) | |||||||
\(114\) | −10639.8 | + | 282217.i | −0.00718158 | + | 0.190488i | ||||
\(115\) | − | 469714.i | − | 0.308844i | ||||||
\(116\) | −1.88337e6 | − | 1.40373e6i | −1.20660 | − | 0.899309i | ||||
\(117\) | −581493. | − | 1.00717e6i | −0.363067 | − | 0.628850i | ||||
\(118\) | 141664. | − | 427125.i | 0.0862210 | − | 0.259961i | ||||
\(119\) | −1.29612e6 | + | 748316.i | −0.769139 | + | 0.444062i | ||||
\(120\) | −29166.5 | − | 336569.i | −0.0168788 | − | 0.194774i | ||||
\(121\) | 1.72862e6 | 0.975760 | ||||||||
\(122\) | −57664.9 | − | 279659.i | −0.0317564 | − | 0.154010i | ||||
\(123\) | 501570. | + | 289582.i | 0.269536 | + | 0.155617i | ||||
\(124\) | −2.22287e6 | − | 261055.i | −1.16587 | − | 0.136920i | ||||
\(125\) | 1.89925e6 | 0.972415 | ||||||||
\(126\) | −2.79814e6 | + | 576968.i | −1.39881 | + | 0.288430i | ||||
\(127\) | −2.44932e6 | − | 1.41411e6i | −1.19573 | − | 0.690357i | −0.236132 | − | 0.971721i | \(-0.575880\pi\) |
−0.959601 | + | 0.281364i | \(0.909213\pi\) | |||||||
\(128\) | −770532. | − | 1.95047e6i | −0.367418 | − | 0.930056i | ||||
\(129\) | 206319. | − | 357356.i | 0.0961105 | − | 0.166468i | ||||
\(130\) | 1.26865e6 | − | 1.12838e6i | 0.577447 | − | 0.513600i | ||||
\(131\) | −1.70880e6 | + | 986577.i | −0.760112 | + | 0.438851i | −0.829336 | − | 0.558750i | \(-0.811281\pi\) |
0.0692240 | + | 0.997601i | \(0.477948\pi\) | |||||||
\(132\) | 62691.5 | − | 27001.6i | 0.0272575 | − | 0.0117400i | ||||
\(133\) | 972207. | + | 3.34854e6i | 0.413241 | + | 1.42331i | ||||
\(134\) | 554064. | − | 114246.i | 0.230274 | − | 0.0474819i | ||||
\(135\) | 818002. | − | 472274.i | 0.332470 | − | 0.191952i | ||||
\(136\) | 638162. | − | 1.36560e6i | 0.253696 | − | 0.542885i | ||||
\(137\) | −1.94374e6 | + | 3.36666e6i | −0.755923 | + | 1.30930i | 0.188992 | + | 0.981979i | \(0.439478\pi\) |
−0.944914 | + | 0.327318i | \(0.893855\pi\) | |||||||
\(138\) | −112724. | + | 100260.i | −0.0428922 | + | 0.0381497i | ||||
\(139\) | 1.03636e6 | + | 598340.i | 0.385891 | + | 0.222794i | 0.680378 | − | 0.732861i | \(-0.261816\pi\) |
−0.294487 | + | 0.955655i | \(0.595149\pi\) | |||||||
\(140\) | −1.64993e6 | − | 3.83076e6i | −0.601288 | − | 1.39605i | ||||
\(141\) | 445053. | 0.158765 | ||||||||
\(142\) | −1.04108e6 | + | 3.13892e6i | −0.363597 | + | 1.09627i | ||||
\(143\) | 297093. | + | 171527.i | 0.101598 | + | 0.0586575i | ||||
\(144\) | 1.97695e6 | − | 2.09083e6i | 0.662075 | − | 0.700216i | ||||
\(145\) | 4.70524e6 | 1.54340 | ||||||||
\(146\) | 4.64587e6 | + | 1.54089e6i | 1.49282 | + | 0.495123i | ||||
\(147\) | 627487. | − | 362280.i | 0.197539 | − | 0.114049i | ||||
\(148\) | 85081.7 | − | 724468.i | 0.0262453 | − | 0.223478i | ||||
\(149\) | −2.31815e6 | − | 4.01516e6i | −0.700782 | − | 1.21379i | −0.968192 | − | 0.250208i | \(-0.919501\pi\) |
0.267410 | − | 0.963583i | \(-0.413832\pi\) | |||||||
\(150\) | 22173.6 | + | 24930.1i | 0.00656997 | + | 0.00738670i | ||||
\(151\) | 4.85458e6i | 1.41001i | 0.709204 | + | 0.705003i | \(0.249054\pi\) | ||||
−0.709204 | + | 0.705003i | \(0.750946\pi\) | |||||||
\(152\) | −2.73469e6 | − | 2.20324e6i | −0.778712 | − | 0.627382i | ||||
\(153\) | 2.06823e6 | 0.577463 | ||||||||
\(154\) | 629710. | − | 560084.i | 0.172416 | − | 0.153353i | ||||
\(155\) | 3.88265e6 | − | 2.24165e6i | 1.04264 | − | 0.601967i | ||||
\(156\) | −541586. | − | 63604.0i | −0.142657 | − | 0.0167537i | ||||
\(157\) | −408757. | − | 707987.i | −0.105625 | − | 0.182948i | 0.808369 | − | 0.588677i | \(-0.200351\pi\) |
−0.913993 | + | 0.405729i | \(0.867018\pi\) | |||||||
\(158\) | 886284. | − | 2.67219e6i | 0.224699 | − | 0.677480i | ||||
\(159\) | − | 300590.i | − | 0.0747795i | ||||||
\(160\) | 3.57239e6 | + | 2.21027e6i | 0.872167 | + | 0.539616i | ||||
\(161\) | −931286. | + | 1.61303e6i | −0.223154 | + | 0.386515i | ||||
\(162\) | 3.60079e6 | + | 1.19427e6i | 0.846940 | + | 0.280904i | ||||
\(163\) | 5.88436e6i | 1.35874i | 0.733796 | + | 0.679370i | \(0.237747\pi\) | ||||
−0.733796 | + | 0.679370i | \(0.762253\pi\) | |||||||
\(164\) | −6.61437e6 | + | 2.84885e6i | −1.49954 | + | 0.645860i | ||||
\(165\) | −68365.9 | + | 118413.i | −0.0152191 | + | 0.0263602i | ||||
\(166\) | −3.59401e6 | − | 4.04079e6i | −0.785696 | − | 0.883368i | ||||
\(167\) | −1.04863e6 | − | 605429.i | −0.225151 | − | 0.129991i | 0.383182 | − | 0.923673i | \(-0.374828\pi\) |
−0.608333 | + | 0.793682i | \(0.708162\pi\) | |||||||
\(168\) | −567145. | + | 1.21363e6i | −0.119610 | + | 0.255953i | ||||
\(169\) | 1.04311e6 | + | 1.80672e6i | 0.216108 | + | 0.374310i | ||||
\(170\) | 609770. | + | 2.95722e6i | 0.124113 | + | 0.601917i | ||||
\(171\) | 1.15019e6 | − | 4.67923e6i | 0.230029 | − | 0.935806i | ||||
\(172\) | 2.02973e6 | + | 4.71256e6i | 0.398890 | + | 0.926130i | ||||
\(173\) | −1.73353e6 | − | 3.00257e6i | −0.334806 | − | 0.579902i | 0.648641 | − | 0.761094i | \(-0.275338\pi\) |
−0.983448 | + | 0.181193i | \(0.942004\pi\) | |||||||
\(174\) | −1.00433e6 | − | 1.12918e6i | −0.190647 | − | 0.214347i | ||||
\(175\) | 356740. | + | 205964.i | 0.0665637 | + | 0.0384306i | ||||
\(176\) | −196652. | + | 825695.i | −0.0360712 | + | 0.151454i | ||||
\(177\) | 144756. | − | 250725.i | 0.0261046 | − | 0.0452145i | ||||
\(178\) | −1.84078e6 | − | 8.92730e6i | −0.326394 | − | 1.58292i | ||||
\(179\) | 2.14219e6i | 0.373507i | 0.982407 | + | 0.186753i | \(0.0597965\pi\) | ||||
−0.982407 | + | 0.186753i | \(0.940204\pi\) | |||||||
\(180\) | −672301. | + | 5.72462e6i | −0.115278 | + | 0.981589i | ||||
\(181\) | −4.43673e6 | + | 7.68465e6i | −0.748217 | + | 1.29595i | 0.200459 | + | 0.979702i | \(0.435757\pi\) |
−0.948677 | + | 0.316248i | \(0.897577\pi\) | |||||||
\(182\) | −6.59385e6 | + | 1.35963e6i | −1.09377 | + | 0.225531i | ||||
\(183\) | − | 183705.i | − | 0.0299756i | ||||||
\(184\) | −161957. | − | 1.86892e6i | −0.0259983 | − | 0.300010i | ||||
\(185\) | 730588. | + | 1.26542e6i | 0.115387 | + | 0.199856i | ||||
\(186\) | −1.36671e6 | − | 453295.i | −0.212392 | − | 0.0704438i | ||||
\(187\) | −528344. | + | 305040.i | −0.0807964 | + | 0.0466478i | ||||
\(188\) | −3.30721e6 | + | 4.43726e6i | −0.497723 | + | 0.667792i | ||||
\(189\) | −3.74545e6 | −0.554777 | ||||||||
\(190\) | 7.02961e6 | + | 265023.i | 1.02487 | + | 0.0386387i | ||||
\(191\) | 9.08149e6i | 1.30334i | 0.758503 | + | 0.651669i | \(0.225931\pi\) | ||||
−0.758503 | + | 0.651669i | \(0.774069\pi\) | |||||||
\(192\) | −232098. | − | 1.32910e6i | −0.0327919 | − | 0.187782i | ||||
\(193\) | −145690. | − | 252343.i | −0.0202655 | − | 0.0351009i | 0.855715 | − | 0.517448i | \(-0.173118\pi\) |
−0.875980 | + | 0.482347i | \(0.839784\pi\) | |||||||
\(194\) | 4.94359e6 | + | 1.63964e6i | 0.677076 | + | 0.224565i | ||||
\(195\) | 945979. | − | 546161.i | 0.127579 | − | 0.0736575i | ||||
\(196\) | −1.05089e6 | + | 8.94828e6i | −0.139569 | + | 1.18842i | ||||
\(197\) | 5.22291e6 | 0.683147 | 0.341573 | − | 0.939855i | \(-0.389040\pi\) | ||||
0.341573 | + | 0.939855i | \(0.389040\pi\) | |||||||
\(198\) | −1.14062e6 | + | 235192.i | −0.146942 | + | 0.0302990i | ||||
\(199\) | 1.13617e7 | + | 6.55970e6i | 1.44174 | + | 0.832387i | 0.997966 | − | 0.0637541i | \(-0.0203073\pi\) |
0.443770 | + | 0.896141i | \(0.353641\pi\) | |||||||
\(200\) | −413331. | + | 35818.5i | −0.0516663 | + | 0.00447731i | ||||
\(201\) | 363959. | 0.0448192 | ||||||||
\(202\) | 771105. | + | 3.73965e6i | 0.0935534 | + | 0.453709i | ||||
\(203\) | −1.61582e7 | − | 9.32893e6i | −1.93154 | − | 1.11518i | ||||
\(204\) | 579531. | − | 777553.i | 0.0682631 | − | 0.0915882i | ||||
\(205\) | 7.21306e6 | − | 1.24934e7i | 0.837256 | − | 1.45017i | ||||
\(206\) | 9.31239e6 | + | 1.04700e7i | 1.06527 | + | 1.19770i | ||||
\(207\) | 2.22909e6 | − | 1.28697e6i | 0.251314 | − | 0.145096i | ||||
\(208\) | 4.65869e6 | − | 4.92707e6i | 0.517695 | − | 0.547518i | ||||
\(209\) | 396306. | + | 1.36498e6i | 0.0434102 | + | 0.149516i | ||||
\(210\) | −541912. | − | 2.62813e6i | −0.0585155 | − | 0.283784i | ||||
\(211\) | −3.98023e6 | + | 2.29799e6i | −0.423702 | + | 0.244624i | −0.696660 | − | 0.717401i | \(-0.745331\pi\) |
0.272958 | + | 0.962026i | \(0.411998\pi\) | |||||||
\(212\) | 2.99693e6 | + | 2.23369e6i | 0.314535 | + | 0.234432i | ||||
\(213\) | −1.06381e6 | + | 1.84257e6i | −0.110084 | + | 0.190671i | ||||
\(214\) | 3.68808e6 | + | 4.14656e6i | 0.376322 | + | 0.423103i | ||||
\(215\) | −8.90121e6 | − | 5.13912e6i | −0.895641 | − | 0.517098i | ||||
\(216\) | 3.09186e6 | − | 2.16115e6i | 0.306802 | − | 0.214449i | ||||
\(217\) | −1.77778e7 | −1.73980 | ||||||||
\(218\) | −1.16696e7 | − | 3.87046e6i | −1.12639 | − | 0.373588i | ||||
\(219\) | 2.72716e6 | + | 1.57452e6i | 0.259644 | + | 0.149905i | ||||
\(220\) | −672571. | − | 1.56155e6i | −0.0631641 | − | 0.146652i | ||||
\(221\) | 4.87380e6 | 0.451535 | ||||||||
\(222\) | 147736. | − | 445432.i | 0.0135029 | − | 0.0407120i | ||||
\(223\) | 5.78619e6 | − | 3.34066e6i | 0.521768 | − | 0.301243i | −0.215889 | − | 0.976418i | \(-0.569265\pi\) |
0.737658 | + | 0.675175i | \(0.235932\pi\) | |||||||
\(224\) | −7.88567e6 | − | 1.46731e7i | −0.701608 | − | 1.30550i | ||||
\(225\) | −284626. | − | 492987.i | −0.0249878 | − | 0.0432801i | ||||
\(226\) | −9.05182e6 | + | 8.05098e6i | −0.784171 | + | 0.697467i | ||||
\(227\) | − | 2.12022e7i | − | 1.81261i | −0.422626 | − | 0.906304i | \(-0.638892\pi\) | ||
0.422626 | − | 0.906304i | \(-0.361108\pi\) | |||||||
\(228\) | −1.43687e6 | − | 1.74356e6i | −0.121231 | − | 0.147107i | ||||
\(229\) | −1.06404e7 | −0.886033 | −0.443016 | − | 0.896513i | \(-0.646092\pi\) | ||||
−0.443016 | + | 0.896513i | \(0.646092\pi\) | |||||||
\(230\) | 2.49734e6 | + | 2.80779e6i | 0.205255 | + | 0.230771i | ||||
\(231\) | 469548. | − | 271094.i | 0.0380929 | − | 0.0219929i | ||||
\(232\) | 1.87214e7 | − | 1.62236e6i | 1.49925 | − | 0.129922i | ||||
\(233\) | −9.68338e6 | − | 1.67721e7i | −0.765525 | − | 1.32593i | −0.939969 | − | 0.341260i | \(-0.889146\pi\) |
0.174444 | − | 0.984667i | \(-0.444187\pi\) | |||||||
\(234\) | 8.83084e6 | + | 2.92891e6i | 0.689214 | + | 0.228591i | ||||
\(235\) | − | 1.10856e7i | − | 0.854195i | ||||||
\(236\) | 1.42408e6 | + | 3.30639e6i | 0.108343 | + | 0.251547i | ||||
\(237\) | 905630. | − | 1.56860e6i | 0.0680308 | − | 0.117833i | ||||
\(238\) | 3.76918e6 | − | 1.13643e7i | 0.279587 | − | 0.842969i | ||||
\(239\) | 1.05286e7i | 0.771216i | 0.922663 | + | 0.385608i | \(0.126008\pi\) | ||||
−0.922663 | + | 0.385608i | \(0.873992\pi\) | |||||||
\(240\) | 1.96379e6 | + | 1.85683e6i | 0.142057 | + | 0.134319i | ||||
\(241\) | −4.41990e6 | + | 7.65550e6i | −0.315763 | + | 0.546918i | −0.979599 | − | 0.200960i | \(-0.935594\pi\) |
0.663836 | + | 0.747878i | \(0.268927\pi\) | |||||||
\(242\) | −1.03331e7 | + | 9.19059e6i | −0.729096 | + | 0.648481i | ||||
\(243\) | 6.76519e6 | + | 3.90588e6i | 0.471478 | + | 0.272208i | ||||
\(244\) | 1.83157e6 | + | 1.36512e6i | 0.126082 | + | 0.0939726i | ||||
\(245\) | −9.02387e6 | − | 1.56298e7i | −0.613613 | − | 1.06281i | ||||
\(246\) | −4.53784e6 | + | 935690.i | −0.304821 | + | 0.0628531i | ||||
\(247\) | 2.71044e6 | − | 1.10266e7i | 0.179866 | − | 0.731732i | ||||
\(248\) | 1.46755e7 | − | 1.02579e7i | 0.962141 | − | 0.672517i | ||||
\(249\) | −1.73958e6 | − | 3.01305e6i | −0.112680 | − | 0.195168i | ||||
\(250\) | −1.13531e7 | + | 1.00978e7i | −0.726596 | + | 0.646258i | ||||
\(251\) | 1.91100e6 | + | 1.10332e6i | 0.120848 | + | 0.0697717i | 0.559206 | − | 0.829029i | \(-0.311106\pi\) |
−0.438357 | + | 0.898801i | \(0.644440\pi\) | |||||||
\(252\) | 1.36588e7 | − | 1.83259e7i | 0.853512 | − | 1.14515i | ||||
\(253\) | −379625. | + | 657529.i | −0.0234419 | + | 0.0406026i | ||||
\(254\) | 2.21597e7 | − | 4.56925e6i | 1.35227 | − | 0.278833i | ||||
\(255\) | 1.94256e6i | 0.117153i | ||||||||
\(256\) | 1.49761e7 | + | 7.56254e6i | 0.892644 | + | 0.450762i | ||||
\(257\) | 1.34137e7 | − | 2.32332e7i | 0.790223 | − | 1.36871i | −0.135605 | − | 0.990763i | \(-0.543298\pi\) |
0.925829 | − | 0.377944i | \(-0.123369\pi\) | |||||||
\(258\) | 666654. | + | 3.23309e6i | 0.0388187 | + | 0.188260i | ||||
\(259\) | − | 5.79405e6i | − | 0.333490i | ||||||
\(260\) | −1.58428e6 | + | 1.34901e7i | −0.0901391 | + | 0.767531i | ||||
\(261\) | 1.28919e7 | + | 2.23294e7i | 0.725093 | + | 1.25590i | ||||
\(262\) | 4.96928e6 | − | 1.49826e7i | 0.276305 | − | 0.833076i | ||||
\(263\) | 8.82729e6 | − | 5.09644e6i | 0.485244 | − | 0.280156i | −0.237355 | − | 0.971423i | \(-0.576281\pi\) |
0.722599 | + | 0.691267i | \(0.242947\pi\) | |||||||
\(264\) | −231188. | + | 494720.i | −0.0125648 | + | 0.0268873i | ||||
\(265\) | −7.48726e6 | −0.402333 | ||||||||
\(266\) | −2.36148e7 | − | 1.48475e7i | −1.25470 | − | 0.788875i | ||||
\(267\) | − | 5.86424e6i | − | 0.308090i | ||||||
\(268\) | −2.70459e6 | + | 3.62873e6i | −0.140507 | + | 0.188517i | ||||
\(269\) | 1.03195e6 | + | 1.78739e6i | 0.0530153 | + | 0.0918251i | 0.891315 | − | 0.453384i | \(-0.149783\pi\) |
−0.838300 | + | 0.545209i | \(0.816450\pi\) | |||||||
\(270\) | −2.37879e6 | + | 7.17218e6i | −0.120855 | + | 0.364385i | ||||
\(271\) | −2.58828e7 | + | 1.49434e7i | −1.30048 | + | 0.750831i | −0.980486 | − | 0.196589i | \(-0.937014\pi\) |
−0.319992 | + | 0.947420i | \(0.603680\pi\) | |||||||
\(272\) | 3.44582e6 | + | 1.15561e7i | 0.171232 | + | 0.574252i | ||||
\(273\) | −4.33143e6 | −0.212884 | ||||||||
\(274\) | −6.28058e6 | − | 3.04591e7i | −0.305315 | − | 1.48070i | ||||
\(275\) | 145420. | + | 83958.1i | 0.00699238 | + | 0.00403705i | ||||
\(276\) | 140769. | − | 1.19864e6i | 0.00669545 | − | 0.0570115i | ||||
\(277\) | −2.91365e7 | −1.37087 | −0.685437 | − | 0.728132i | \(-0.740389\pi\) | ||||
−0.685437 | + | 0.728132i | \(0.740389\pi\) | |||||||
\(278\) | −9.37620e6 | + | 1.93334e6i | −0.436408 | + | 0.0899859i | ||||
\(279\) | 2.12761e7 | + | 1.22838e7i | 0.979669 | + | 0.565612i | ||||
\(280\) | 3.02299e7 | + | 1.41268e7i | 1.37709 | + | 0.643530i | ||||
\(281\) | 2.52895e6 | − | 4.38027e6i | 0.113978 | − | 0.197416i | −0.803393 | − | 0.595450i | \(-0.796974\pi\) |
0.917371 | + | 0.398034i | \(0.130307\pi\) | |||||||
\(282\) | −2.66038e6 | + | 2.36622e6i | −0.118630 | + | 0.105514i | ||||
\(283\) | 1.01828e7 | − | 5.87907e6i | 0.449273 | − | 0.259388i | −0.258250 | − | 0.966078i | \(-0.583146\pi\) |
0.707523 | + | 0.706690i | \(0.249813\pi\) | |||||||
\(284\) | −1.04655e7 | − | 2.42986e7i | −0.456885 | − | 1.06078i | ||||
\(285\) | 4.39492e6 | + | 1.08031e6i | 0.189852 | + | 0.0466674i | ||||
\(286\) | −2.68788e6 | + | 554233.i | −0.114898 | + | 0.0236916i | ||||
\(287\) | −4.95405e7 | + | 2.86022e7i | −2.09563 | + | 1.20991i | ||||
\(288\) | −701135. | + | 2.30092e7i | −0.0293511 | + | 0.963216i | ||||
\(289\) | 7.73505e6 | − | 1.33975e7i | 0.320457 | − | 0.555048i | ||||
\(290\) | −2.81263e7 | + | 2.50165e7i | −1.15324 | + | 1.02573i | ||||
\(291\) | 2.90193e6 | + | 1.67543e6i | 0.117763 | + | 0.0679902i | ||||
\(292\) | −3.59639e7 | + | 1.54899e7i | −1.44450 | + | 0.622156i | ||||
\(293\) | 2.72690e7 | 1.08409 | 0.542046 | − | 0.840349i | \(-0.317650\pi\) | ||||
0.542046 | + | 0.840349i | \(0.317650\pi\) | |||||||
\(294\) | −1.82476e6 | + | 5.50177e6i | −0.0718067 | + | 0.216501i | ||||
\(295\) | −6.24520e6 | − | 3.60567e6i | −0.243265 | − | 0.140449i | ||||
\(296\) | 3.34321e6 | + | 4.78298e6i | 0.128910 | + | 0.184426i | ||||
\(297\) | −1.52678e6 | −0.0582781 | ||||||||
\(298\) | 3.52046e7 | + | 1.16763e7i | 1.33030 | + | 0.441220i | ||||
\(299\) | 5.25287e6 | − | 3.03275e6i | 0.196509 | − | 0.113455i | ||||
\(300\) | −265093. | − | 31132.6i | −0.00981826 | − | 0.00115306i | ||||
\(301\) | 2.03783e7 | + | 3.52963e7i | 0.747255 | + | 1.29428i | ||||
\(302\) | −2.58105e7 | − | 2.90190e7i | −0.937077 | − | 1.05357i | ||||
\(303\) | 2.45654e6i | 0.0883071i | ||||||||
\(304\) | 2.80611e7 | − | 1.36932e6i | 0.998812 | − | 0.0487399i | ||||
\(305\) | −4.57583e6 | −0.161276 | ||||||||
\(306\) | −1.23632e7 | + | 1.09962e7i | −0.431485 | + | 0.383777i | ||||
\(307\) | 4.59065e7 | − | 2.65041e7i | 1.58657 | − | 0.916005i | 0.592701 | − | 0.805422i | \(-0.298062\pi\) |
0.993867 | − | 0.110583i | \(-0.0352718\pi\) | |||||||
\(308\) | −786378. | + | 6.69599e6i | −0.0269141 | + | 0.229172i | ||||
\(309\) | 4.50741e6 | + | 7.80707e6i | 0.152775 | + | 0.264614i | ||||
\(310\) | −1.12909e7 | + | 3.40428e7i | −0.379005 | + | 1.14272i | ||||
\(311\) | 1.64753e7i | 0.547711i | 0.961771 | + | 0.273856i | \(0.0882991\pi\) | ||||
−0.961771 | + | 0.273856i | \(0.911701\pi\) | |||||||
\(312\) | 3.57558e6 | − | 2.49926e6i | 0.117729 | − | 0.0822902i | ||||
\(313\) | −2.29003e7 | + | 3.96644e7i | −0.746806 | + | 1.29351i | 0.202541 | + | 0.979274i | \(0.435080\pi\) |
−0.949346 | + | 0.314232i | \(0.898253\pi\) | |||||||
\(314\) | 6.20758e6 | + | 2.05886e6i | 0.200509 | + | 0.0665025i | ||||
\(315\) | 4.57836e7i | 1.46480i | ||||||||
\(316\) | 8.90942e6 | + | 2.06856e7i | 0.282350 | + | 0.655552i | ||||
\(317\) | 1.08379e7 | − | 1.87717e7i | 0.340224 | − | 0.589286i | −0.644250 | − | 0.764815i | \(-0.722830\pi\) |
0.984474 | + | 0.175529i | \(0.0561636\pi\) | |||||||
\(318\) | 1.59815e6 | + | 1.79682e6i | 0.0496978 | + | 0.0558758i | ||||
\(319\) | −6.58664e6 | − | 3.80280e6i | −0.202905 | − | 0.117147i | ||||
\(320\) | −3.31059e7 | + | 5.78122e6i | −1.01031 | + | 0.176429i | ||||
\(321\) | 1.78512e6 | + | 3.09191e6i | 0.0539699 | + | 0.0934786i | ||||
\(322\) | −3.00915e6 | − | 1.45936e7i | −0.0901314 | − | 0.437113i | ||||
\(323\) | 1.45723e7 | + | 1.39792e7i | 0.432434 | + | 0.414834i | ||||
\(324\) | −2.78739e7 | + | 1.20055e7i | −0.819526 | + | 0.352975i | ||||
\(325\) | −670724. | − | 1.16173e6i | −0.0195386 | − | 0.0338419i | ||||
\(326\) | −3.12855e7 | − | 3.51747e7i | −0.903006 | − | 1.01526i | ||||
\(327\) | −6.85016e6 | − | 3.95494e6i | −0.195910 | − | 0.113109i | ||||
\(328\) | 2.43919e7 | − | 5.21963e7i | 0.691233 | − | 1.47917i | ||||
\(329\) | −2.19791e7 | + | 3.80689e7i | −0.617195 | + | 1.06901i | ||||
\(330\) | −220902. | − | 1.07132e6i | −0.00614693 | − | 0.0298110i | ||||
\(331\) | − | 4.55446e7i | − | 1.25589i | −0.778256 | − | 0.627947i | \(-0.783895\pi\) | ||
0.778256 | − | 0.627947i | \(-0.216105\pi\) | |||||||
\(332\) | 4.29675e7 | + | 5.04612e6i | 1.17416 | + | 0.137893i | ||||
\(333\) | −4.00347e6 | + | 6.93421e6i | −0.108418 | + | 0.187786i | ||||
\(334\) | 9.48727e6 | − | 1.95625e6i | 0.254626 | − | 0.0525030i | ||||
\(335\) | − | 9.06569e6i | − | 0.241138i | ||||||
\(336\) | −3.06236e6 | − | 1.02700e7i | −0.0807305 | − | 0.270741i | ||||
\(337\) | −378346. | − | 655314.i | −0.00988551 | − | 0.0171222i | 0.861040 | − | 0.508537i | \(-0.169813\pi\) |
−0.870926 | + | 0.491414i | \(0.836480\pi\) | |||||||
\(338\) | −1.58412e7 | − | 5.25404e6i | −0.410240 | − | 0.136064i | ||||
\(339\) | −6.74956e6 | + | 3.89686e6i | −0.173251 | + | 0.100027i | ||||
\(340\) | −1.93677e7 | − | 1.44353e7i | −0.492767 | − | 0.367272i | ||||
\(341\) | −7.24684e6 | −0.182762 | ||||||||
\(342\) | 1.80027e7 | + | 3.40861e7i | 0.450048 | + | 0.852116i | ||||
\(343\) | 1.17577e7i | 0.291366i | ||||||||
\(344\) | −3.71885e7 | − | 1.73786e7i | −0.913551 | − | 0.426913i | ||||
\(345\) | 1.20877e6 | + | 2.09365e6i | 0.0294365 | + | 0.0509855i | ||||
\(346\) | 2.63263e7 | + | 8.73161e6i | 0.635567 | + | 0.210798i | ||||
\(347\) | −3.24362e7 | + | 1.87271e7i | −0.776322 | + | 0.448210i | −0.835125 | − | 0.550060i | \(-0.814605\pi\) |
0.0588031 | + | 0.998270i | \(0.481272\pi\) | |||||||
\(348\) | 1.20071e7 | + | 1.41012e6i | 0.284906 | + | 0.0334594i | ||||
\(349\) | 3.69240e6 | 0.0868625 | 0.0434313 | − | 0.999056i | \(-0.486171\pi\) | ||||
0.0434313 | + | 0.999056i | \(0.486171\pi\) | |||||||
\(350\) | −3.22752e6 | + | 665506.i | −0.0752775 | + | 0.0155220i | ||||
\(351\) | 1.05630e7 | + | 6.09855e6i | 0.244268 | + | 0.141028i | ||||
\(352\) | −3.21447e6 | − | 5.98127e6i | −0.0737025 | − | 0.137140i | ||||
\(353\) | 6.63283e7 | 1.50791 | 0.753954 | − | 0.656927i | \(-0.228144\pi\) | ||||
0.753954 | + | 0.656927i | \(0.228144\pi\) | |||||||
\(354\) | 467733. | + | 2.26838e6i | 0.0105436 | + | 0.0511335i | ||||
\(355\) | 4.58958e7 | + | 2.64979e7i | 1.02586 | + | 0.592280i | ||||
\(356\) | 5.84675e7 | + | 4.35774e7i | 1.29588 | + | 0.965854i | ||||
\(357\) | 3.85146e6 | − | 6.67092e6i | 0.0846488 | − | 0.146616i | ||||
\(358\) | −1.13894e7 | − | 1.28053e7i | −0.248229 | − | 0.279087i | ||||
\(359\) | −2.68967e7 | + | 1.55288e7i | −0.581320 | + | 0.335625i | −0.761658 | − | 0.647980i | \(-0.775614\pi\) |
0.180338 | + | 0.983605i | \(0.442281\pi\) | |||||||
\(360\) | −2.64175e7 | − | 3.77943e7i | −0.566218 | − | 0.810063i | ||||
\(361\) | 3.97310e7 | − | 2.51946e7i | 0.844515 | − | 0.535532i | ||||
\(362\) | −1.43359e7 | − | 6.95251e7i | −0.302203 | − | 1.46560i | ||||
\(363\) | −7.70496e6 | + | 4.44846e6i | −0.161083 | + | 0.0930015i | ||||
\(364\) | 3.21870e7 | − | 4.31851e7i | 0.667385 | − | 0.895426i | ||||
\(365\) | 3.92191e7 | − | 6.79295e7i | 0.806528 | − | 1.39695i | ||||
\(366\) | 976709. | + | 1.09813e6i | 0.0199215 | + | 0.0223980i | ||||
\(367\) | −1.98345e7 | − | 1.14515e7i | −0.401258 | − | 0.231666i | 0.285769 | − | 0.958299i | \(-0.407751\pi\) |
−0.687027 | + | 0.726632i | \(0.741084\pi\) | |||||||
\(368\) | 1.09046e7 | + | 1.03107e7i | 0.218810 | + | 0.206892i | ||||
\(369\) | 7.90521e7 | 1.57338 | ||||||||
\(370\) | −1.10951e7 | − | 3.67989e6i | −0.219041 | − | 0.0726490i | ||||
\(371\) | 2.57118e7 | + | 1.48447e7i | 0.503514 | + | 0.290704i | ||||
\(372\) | 1.05798e7 | − | 4.55678e6i | 0.205517 | − | 0.0885175i | ||||
\(373\) | −8.57133e7 | −1.65166 | −0.825832 | − | 0.563916i | \(-0.809294\pi\) | ||||
−0.825832 | + | 0.563916i | \(0.809294\pi\) | |||||||
\(374\) | 1.53645e6 | − | 4.63249e6i | 0.0293700 | − | 0.0885522i | ||||
\(375\) | −8.46550e6 | + | 4.88756e6i | −0.160531 | + | 0.0926826i | ||||
\(376\) | −3.82231e6 | − | 4.41079e7i | −0.0719056 | − | 0.829761i | ||||
\(377\) | 3.03798e7 | + | 5.26193e7i | 0.566971 | + | 0.982022i | ||||
\(378\) | 2.23890e7 | − | 1.99135e7i | 0.414533 | − | 0.368699i | ||||
\(379\) | − | 5.17618e7i | − | 0.950806i | −0.879768 | − | 0.475403i | \(-0.842302\pi\) | ||
0.879768 | − | 0.475403i | \(-0.157698\pi\) | |||||||
\(380\) | −4.34297e7 | + | 3.57903e7i | −0.791473 | + | 0.652251i | ||||
\(381\) | 1.45564e7 | 0.263196 | ||||||||
\(382\) | −4.82838e7 | − | 5.42861e7i | −0.866186 | − | 0.973864i | ||||
\(383\) | −6.78918e6 | + | 3.91973e6i | −0.120843 | + | 0.0697686i | −0.559203 | − | 0.829031i | \(-0.688893\pi\) |
0.438360 | + | 0.898799i | \(0.355559\pi\) | |||||||
\(384\) | 8.45385e6 | + | 6.71091e6i | 0.149300 | + | 0.118519i | ||||
\(385\) | −6.75255e6 | − | 1.16958e7i | −0.118328 | − | 0.204949i | ||||
\(386\) | 2.21252e6 | + | 733824.i | 0.0384703 | + | 0.0127594i | ||||
\(387\) | − | 5.63225e7i | − | 0.971738i | ||||||
\(388\) | −3.82686e7 | + | 1.64825e7i | −0.655161 | + | 0.282182i | ||||
\(389\) | −4.60315e7 | + | 7.97288e7i | −0.781999 | + | 1.35446i | 0.148777 | + | 0.988871i | \(0.452466\pi\) |
−0.930776 | + | 0.365591i | \(0.880867\pi\) | |||||||
\(390\) | −2.75095e6 | + | 8.29428e6i | −0.0463756 | + | 0.139825i | ||||
\(391\) | 1.07867e7i | 0.180451i | ||||||||
\(392\) | −4.12937e7 | − | 5.90771e7i | −0.685528 | − | 0.980756i | ||||
\(393\) | 5.07775e6 | − | 8.79492e6i | 0.0836553 | − | 0.144895i | ||||
\(394\) | −3.12208e7 | + | 2.77688e7i | −0.510453 | + | 0.454013i | ||||
\(395\) | −3.90715e7 | − | 2.25579e7i | −0.633970 | − | 0.366023i | ||||
\(396\) | 5.56779e6 | − | 7.47027e6i | 0.0896597 | − | 0.120296i | ||||
\(397\) | 2.78417e7 | + | 4.82233e7i | 0.444964 | + | 0.770699i | 0.998050 | − | 0.0624246i | \(-0.0198833\pi\) |
−0.553086 | + | 0.833124i | \(0.686550\pi\) | |||||||
\(398\) | −1.02793e8 | + | 2.11956e7i | −1.63047 | + | 0.336198i | ||||
\(399\) | −1.29506e7 | − | 1.24235e7i | −0.203879 | − | 0.195581i | ||||
\(400\) | 2.28031e6 | − | 2.41168e6i | 0.0356299 | − | 0.0376824i | ||||
\(401\) | 927984. | + | 1.60732e6i | 0.0143915 | + | 0.0249269i | 0.873131 | − | 0.487485i | \(-0.162086\pi\) |
−0.858740 | + | 0.512412i | \(0.828752\pi\) | |||||||
\(402\) | −2.17562e6 | + | 1.93507e6i | −0.0334892 | + | 0.0297864i | ||||
\(403\) | 5.01373e7 | + | 2.89468e7i | 0.766030 | + | 0.442268i | ||||
\(404\) | −2.44921e7 | − | 1.82546e7i | −0.371435 | − | 0.276840i | ||||
\(405\) | 3.03969e7 | − | 5.26489e7i | 0.457577 | − | 0.792546i | ||||
\(406\) | 1.46187e8 | − | 3.01434e7i | 2.18440 | − | 0.450416i | ||||
\(407\) | − | 2.36186e6i | − | 0.0350325i | ||||||
\(408\) | 669794. | + | 7.72915e6i | 0.00986191 | + | 0.113802i | ||||
\(409\) | −6.81411e6 | + | 1.18024e7i | −0.0995954 | + | 0.172504i | −0.911517 | − | 0.411262i | \(-0.865088\pi\) |
0.811922 | + | 0.583766i | \(0.198422\pi\) | |||||||
\(410\) | 2.33067e7 | + | 1.13031e8i | 0.338165 | + | 1.64001i | ||||
\(411\) | − | 2.00083e7i | − | 0.288193i | ||||||
\(412\) | −1.11333e8 | − | 1.30749e7i | −1.59195 | − | 0.186960i | ||||
\(413\) | 1.42977e7 | + | 2.47643e7i | 0.202962 | + | 0.351541i | ||||
\(414\) | −6.48230e6 | + | 1.95445e7i | −0.0913541 | + | 0.275438i | ||||
\(415\) | −7.50506e7 | + | 4.33305e7i | −1.05005 | + | 0.606247i | ||||
\(416\) | −1.65223e6 | + | 5.42213e7i | −0.0229504 | + | 0.753165i | ||||
\(417\) | −6.15912e6 | −0.0849397 | ||||||||
\(418\) | −9.62622e6 | − | 6.05236e6i | −0.131803 | − | 0.0828697i | ||||
\(419\) | − | 9.78093e7i | − | 1.32965i | −0.746998 | − | 0.664826i | \(-0.768506\pi\) | ||
0.746998 | − | 0.664826i | \(-0.231494\pi\) | |||||||
\(420\) | 1.72124e7 | + | 1.28289e7i | 0.232324 | + | 0.173157i | ||||
\(421\) | −3.74276e7 | − | 6.48265e7i | −0.501586 | − | 0.868773i | −0.999998 | − | 0.00183275i | \(-0.999417\pi\) |
0.498412 | − | 0.866940i | \(-0.333917\pi\) | |||||||
\(422\) | 1.15747e7 | − | 3.48984e7i | 0.154018 | − | 0.464374i | ||||
\(423\) | 5.26083e7 | − | 3.03734e7i | 0.695078 | − | 0.401303i | ||||
\(424\) | −2.97906e7 | + | 2.58160e6i | −0.390824 | + | 0.0338681i | ||||
\(425\) | 2.38560e6 | 0.0310765 | ||||||||
\(426\) | −3.43735e6 | − | 1.66702e7i | −0.0444626 | − | 0.215632i | ||||
\(427\) | 1.57138e7 | + | 9.07234e6i | 0.201835 | + | 0.116529i | ||||
\(428\) | −4.40922e7 | − | 5.17820e6i | −0.562381 | − | 0.0660462i | ||||
\(429\) | −1.76564e6 | −0.0223630 | ||||||||
\(430\) | 8.05317e7 | − | 1.66054e7i | 1.01289 | − | 0.208854i | ||||
\(431\) | −6.79149e7 | − | 3.92107e7i | −0.848268 | − | 0.489748i | 0.0117982 | − | 0.999930i | \(-0.496244\pi\) |
−0.860066 | + | 0.510183i | \(0.829578\pi\) | |||||||
\(432\) | −6.99186e6 | + | 2.93572e7i | −0.0867244 | + | 0.364135i | ||||
\(433\) | −8.57089e6 | + | 1.48452e7i | −0.105575 | + | 0.182862i | −0.913973 | − | 0.405775i | \(-0.867002\pi\) |
0.808398 | + | 0.588637i | \(0.200335\pi\) | |||||||
\(434\) | 1.06270e8 | − | 9.45195e7i | 1.29999 | − | 1.15625i | ||||
\(435\) | −2.09726e7 | + | 1.21086e7i | −0.254792 | + | 0.147104i | ||||
\(436\) | 9.03353e7 | − | 3.89080e7i | 1.08993 | − | 0.469439i | ||||
\(437\) | 2.44043e7 | + | 5.99878e6i | 0.292430 | + | 0.0718817i | ||||
\(438\) | −2.46733e7 | + | 5.08756e6i | −0.293633 | + | 0.0605463i | ||||
\(439\) | 9.94623e6 | − | 5.74246e6i | 0.117561 | − | 0.0678741i | −0.440066 | − | 0.897965i | \(-0.645045\pi\) |
0.557628 | + | 0.830091i | \(0.311712\pi\) | |||||||
\(440\) | 1.23228e7 | + | 5.75857e6i | 0.144660 | + | 0.0676015i | ||||
\(441\) | 4.94489e7 | − | 8.56480e7i | 0.576555 | − | 0.998623i | ||||
\(442\) | −2.91339e7 | + | 2.59127e7i | −0.337390 | + | 0.300086i | ||||
\(443\) | 1.65198e7 | + | 9.53774e6i | 0.190018 | + | 0.109707i | 0.591991 | − | 0.805945i | \(-0.298342\pi\) |
−0.401973 | + | 0.915652i | \(0.631675\pi\) | |||||||
\(444\) | 1.48512e6 | + | 3.44811e6i | 0.0169673 | + | 0.0393942i | ||||
\(445\) | −1.46070e8 | −1.65760 | ||||||||
\(446\) | −1.68265e7 | + | 5.07329e7i | −0.189666 | + | 0.571854i | ||||
\(447\) | 2.06654e7 | + | 1.19312e7i | 0.231377 | + | 0.133586i | ||||
\(448\) | 1.25151e8 | + | 4.57849e7i | 1.39187 | + | 0.509200i | ||||
\(449\) | −8.89050e7 | −0.982171 | −0.491085 | − | 0.871111i | \(-0.663400\pi\) | ||||
−0.491085 | + | 0.871111i | \(0.663400\pi\) | |||||||
\(450\) | 4.32248e6 | + | 1.43363e6i | 0.0474346 | + | 0.0157326i | ||||
\(451\) | −2.01944e7 | + | 1.16593e7i | −0.220142 | + | 0.127099i | ||||
\(452\) | 1.13039e7 | − | 9.62521e7i | 0.122409 | − | 1.04231i | ||||
\(453\) | −1.24929e7 | − | 2.16383e7i | −0.134390 | − | 0.232771i | ||||
\(454\) | 1.12726e8 | + | 1.26740e8i | 1.20464 | + | 1.35439i | ||||
\(455\) | 1.07890e8i | 1.14537i | ||||||||
\(456\) | 1.78592e7 | + | 2.78301e6i | 0.188350 | + | 0.0293509i | ||||
\(457\) | −1.05563e8 | −1.10602 | −0.553009 | − | 0.833175i | \(-0.686521\pi\) | ||||
−0.553009 | + | 0.833175i | \(0.686521\pi\) | |||||||
\(458\) | 6.36045e7 | − | 5.65719e7i | 0.662051 | − | 0.588849i | ||||
\(459\) | −1.87850e7 | + | 1.08455e7i | −0.194256 | + | 0.112154i | ||||
\(460\) | −2.98565e7 | − | 3.50635e6i | −0.306736 | − | 0.0360232i | ||||
\(461\) | 2.09161e6 | + | 3.62278e6i | 0.0213490 | + | 0.0369776i | 0.876503 | − | 0.481397i | \(-0.159871\pi\) |
−0.855154 | + | 0.518375i | \(0.826537\pi\) | |||||||
\(462\) | −1.36547e6 | + | 4.11696e6i | −0.0138470 | + | 0.0417495i | ||||
\(463\) | 4.33656e6i | 0.0436921i | 0.999761 | + | 0.0218460i | \(0.00695436\pi\) | ||||
−0.999761 | + | 0.0218460i | \(0.993046\pi\) | |||||||
\(464\) | −1.03285e8 | + | 1.09234e8i | −1.03391 | + | 1.09347i | ||||
\(465\) | −1.15374e7 | + | 1.99834e7i | −0.114749 | + | 0.198751i | ||||
\(466\) | 1.47057e8 | + | 4.87741e7i | 1.45320 | + | 0.481983i | ||||
\(467\) | − | 7.24859e7i | − | 0.711710i | −0.934541 | − | 0.355855i | \(-0.884190\pi\) | ||
0.934541 | − | 0.355855i | \(-0.115810\pi\) | |||||||
\(468\) | −6.83600e7 | + | 2.94431e7i | −0.666906 | + | 0.287241i | ||||
\(469\) | −1.79742e7 | + | 3.11323e7i | −0.174234 | + | 0.301782i | ||||
\(470\) | 5.89392e7 | + | 6.62661e7i | 0.567690 | + | 0.638261i | ||||
\(471\) | 3.64389e6 | + | 2.10380e6i | 0.0348741 | + | 0.0201346i | ||||
\(472\) | −2.60919e7 | − | 1.21930e7i | −0.248130 | − | 0.115954i | ||||
\(473\) | 8.30692e6 | + | 1.43880e7i | 0.0784976 | + | 0.135962i | ||||
\(474\) | 2.92625e6 | + | 1.41915e7i | 0.0274774 | + | 0.133258i | ||||
\(475\) | 1.32669e6 | − | 5.39727e6i | 0.0123791 | − | 0.0503608i | ||||
\(476\) | 3.78899e7 | + | 8.79716e7i | 0.351320 | + | 0.815684i | ||||
\(477\) | −2.05143e7 | − | 3.55318e7i | −0.189017 | − | 0.327387i | ||||
\(478\) | −5.59775e7 | − | 6.29362e7i | −0.512543 | − | 0.576258i | ||||
\(479\) | 1.43484e8 | + | 8.28406e7i | 1.30556 | + | 0.753767i | 0.981352 | − | 0.192219i | \(-0.0615683\pi\) |
0.324210 | + | 0.945985i | \(0.394902\pi\) | |||||||
\(480\) | −2.16111e7 | − | 658534.i | −0.195413 | − | 0.00595463i | ||||
\(481\) | −9.43420e6 | + | 1.63405e7i | −0.0847754 | + | 0.146835i | ||||
\(482\) | −1.42815e7 | − | 6.92614e7i | −0.127536 | − | 0.618515i | ||||
\(483\) | − | 9.58635e6i | − | 0.0850770i | ||||||
\(484\) | 1.29039e7 | − | 1.09877e8i | 0.113811 | − | 0.969100i | ||||
\(485\) | 4.17325e7 | − | 7.22828e7i | 0.365804 | − | 0.633592i | ||||
\(486\) | −6.12065e7 | + | 1.26206e7i | −0.533198 | + | 0.109944i | ||||
\(487\) | 1.56874e8i | 1.35820i | 0.734044 | + | 0.679102i | \(0.237630\pi\) | ||||
−0.734044 | + | 0.679102i | \(0.762370\pi\) | |||||||
\(488\) | −1.82065e7 | + | 1.57774e6i | −0.156663 | + | 0.0135761i | ||||
\(489\) | −1.51429e7 | − | 2.62283e7i | −0.129504 | − | 0.224308i | ||||
\(490\) | 1.37041e8 | + | 4.54523e7i | 1.16483 | + | 0.386338i | ||||
\(491\) | 1.32967e8 | − | 7.67683e7i | 1.12331 | − | 0.648541i | 0.181063 | − | 0.983472i | \(-0.442046\pi\) |
0.942243 | + | 0.334931i | \(0.108713\pi\) | |||||||
\(492\) | 2.21509e7 | − | 2.97197e7i | 0.185993 | − | 0.249545i | ||||
\(493\) | −1.08054e8 | −0.901775 | ||||||||
\(494\) | 4.24235e7 | + | 8.03242e7i | 0.351905 | + | 0.666294i | ||||
\(495\) | 1.86630e7i | 0.153874i | ||||||||
\(496\) | −3.31869e7 | + | 1.39344e8i | −0.271970 | + | 1.14194i | ||||
\(497\) | −1.05073e8 | − | 1.81992e8i | −0.855899 | − | 1.48246i | ||||
\(498\) | 2.64182e7 | + | 8.76209e6i | 0.213902 | + | 0.0709446i | ||||
\(499\) | 1.39918e8 | − | 8.07816e7i | 1.12609 | − | 0.650146i | 0.183138 | − | 0.983087i | \(-0.441374\pi\) |
0.942948 | + | 0.332941i | \(0.108041\pi\) | |||||||
\(500\) | 1.41776e7 | − | 1.20722e8i | 0.113421 | − | 0.965777i | ||||
\(501\) | 6.23209e6 | 0.0495587 | ||||||||
\(502\) | −1.72893e7 | + | 3.56501e6i | −0.136668 | + | 0.0281806i | ||||
\(503\) | −3.37348e7 | − | 1.94768e7i | −0.265078 | − | 0.153043i | 0.361571 | − | 0.932345i | \(-0.382241\pi\) |
−0.626649 | + | 0.779302i | \(0.715574\pi\) | |||||||
\(504\) | 1.57862e7 | + | 1.82166e8i | 0.123306 | + | 1.42290i | ||||
\(505\) | 6.11888e7 | 0.475114 | ||||||||
\(506\) | −1.22663e6 | − | 5.94885e6i | −0.00946812 | − | 0.0459178i | ||||
\(507\) | −9.29890e6 | − | 5.36872e6i | −0.0713523 | − | 0.0411953i | ||||
\(508\) | −1.08169e8 | + | 1.45130e8i | −0.825113 | + | 1.10705i | ||||
\(509\) | 7.76221e7 | − | 1.34445e8i | 0.588616 | − | 1.01951i | −0.405798 | − | 0.913963i | \(-0.633006\pi\) |
0.994414 | − | 0.105550i | \(-0.0336604\pi\) | |||||||
\(510\) | −1.03281e7 | − | 1.16120e7i | −0.0778591 | − | 0.0875379i | ||||
\(511\) | −2.69363e8 | + | 1.55517e8i | −2.01872 | + | 1.16551i | ||||
\(512\) | −1.29730e8 | + | 3.44174e7i | −0.966563 | + | 0.256430i | ||||
\(513\) | 1.40904e7 | + | 4.85313e7i | 0.104369 | + | 0.359476i | ||||
\(514\) | 4.33421e7 | + | 2.10197e8i | 0.319169 | + | 1.54788i | ||||
\(515\) | 1.94463e8 | − | 1.12273e8i | 1.42369 | − | 0.821967i | ||||
\(516\) | −2.11745e7 | − | 1.57819e7i | −0.154122 | − | 0.114871i | ||||
\(517\) | −8.95946e6 | + | 1.55182e7i | −0.0648351 | + | 0.112298i | ||||
\(518\) | 3.08054e7 | + | 3.46349e7i | 0.221634 | + | 0.249186i | ||||
\(519\) | 1.54537e7 | + | 8.92221e6i | 0.110543 | + | 0.0638220i | ||||
\(520\) | −6.22530e7 | − | 8.90627e7i | −0.442742 | − | 0.633411i | ||||
\(521\) | −4.01950e7 | −0.284223 | −0.142111 | − | 0.989851i | \(-0.545389\pi\) | ||||
−0.142111 | + | 0.989851i | \(0.545389\pi\) | |||||||
\(522\) | −1.95782e8 | − | 6.49348e7i | −1.37645 | − | 0.456527i | ||||
\(523\) | −6.74418e7 | − | 3.89375e7i | −0.471437 | − | 0.272184i | 0.245404 | − | 0.969421i | \(-0.421079\pi\) |
−0.716841 | + | 0.697237i | \(0.754413\pi\) | |||||||
\(524\) | 4.99539e7 | + | 1.15981e8i | 0.347197 | + | 0.806111i | ||||
\(525\) | −2.12012e6 | −0.0146515 | ||||||||
\(526\) | −2.56702e7 | + | 7.73970e7i | −0.176389 | + | 0.531823i | ||||
\(527\) | −8.91632e7 | + | 5.14784e7i | −0.609191 | + | 0.351717i | ||||
\(528\) | −1.24832e6 | − | 4.18643e6i | −0.00848058 | − | 0.0284408i | ||||
\(529\) | −6.73058e7 | − | 1.16577e8i | −0.454659 | − | 0.787492i | ||||
\(530\) | 4.47563e7 | − | 3.98077e7i | 0.300626 | − | 0.267386i | ||||
\(531\) | − | 3.95166e7i | − | 0.263934i | ||||||
\(532\) | 2.20101e8 | − | 3.68001e7i | 1.46180 | − | 0.244407i | ||||
\(533\) | 1.86287e8 | 1.23027 | ||||||||
\(534\) | 3.11786e7 | + | 3.50545e7i | 0.204754 | + | 0.230207i | ||||
\(535\) | 7.70151e7 | − | 4.44647e7i | 0.502938 | − | 0.290372i | ||||
\(536\) | −3.12584e6 | − | 3.60709e7i | −0.0202989 | − | 0.234241i | ||||
\(537\) | −5.51274e6 | − | 9.54835e6i | −0.0355996 | − | 0.0616603i | ||||
\(538\) | −1.56717e7 | − | 5.19781e6i | −0.100640 | − | 0.0333790i | ||||
\(539\) | 2.91725e7i | 0.186298i | ||||||||
\(540\) | −2.39129e7 | − | 5.55203e7i | −0.151863 | − | 0.352590i | ||||
\(541\) | −1.20395e8 | + | 2.08530e8i | −0.760353 | + | 1.31697i | 0.182316 | + | 0.983240i | \(0.441641\pi\) |
−0.942669 | + | 0.333730i | \(0.891693\pi\) | |||||||
\(542\) | 7.52684e7 | − | 2.26938e8i | 0.472732 | − | 1.42531i | ||||
\(543\) | − | 4.56703e7i | − | 0.285256i | ||||||
\(544\) | −8.20383e7 | − | 5.07577e7i | −0.509589 | − | 0.315286i | ||||
\(545\) | −9.85119e7 | + | 1.70628e8i | −0.608554 | + | 1.05405i | ||||
\(546\) | 2.58918e7 | − | 2.30290e7i | 0.159069 | − | 0.141481i | ||||
\(547\) | 6.26460e7 | + | 3.61687e7i | 0.382764 | + | 0.220989i | 0.679020 | − | 0.734120i | \(-0.262405\pi\) |
−0.296256 | + | 0.955109i | \(0.595738\pi\) | |||||||
\(548\) | 1.99486e8 | + | 1.48682e8i | 1.21219 | + | 0.903478i | ||||
\(549\) | −1.25373e7 | − | 2.17152e7i | −0.0757681 | − | 0.131234i | ||||
\(550\) | −1.31565e6 | + | 271283.i | −0.00790775 | + | 0.00163055i | ||||
\(551\) | −6.00913e7 | + | 2.44464e8i | −0.359217 | + | 1.46137i | ||||
\(552\) | 5.53139e6 | + | 7.91352e6i | 0.0328864 | + | 0.0470492i | ||||
\(553\) | 8.94497e7 | + | 1.54931e8i | 0.528937 | + | 0.916145i | ||||
\(554\) | 1.74168e8 | − | 1.54911e8i | 1.02433 | − | 0.911070i | ||||
\(555\) | −6.51289e6 | − | 3.76022e6i | −0.0380973 | − | 0.0219955i | ||||
\(556\) | 4.57687e7 | − | 6.14075e7i | 0.266283 | − | 0.357271i | ||||
\(557\) | 1.80867e7 | − | 3.13270e7i | 0.104663 | − | 0.181282i | −0.808937 | − | 0.587895i | \(-0.799957\pi\) |
0.913600 | + | 0.406613i | \(0.133290\pi\) | |||||||
\(558\) | −1.92491e8 | + | 3.96910e7i | −1.10792 | + | 0.228449i | ||||
\(559\) | − | 1.32725e8i | − | 0.759829i | ||||||
\(560\) | −2.55812e8 | + | 7.62789e7i | −1.45666 | + | 0.434350i | ||||
\(561\) | 1.56999e6 | − | 2.71930e6i | 0.00889218 | − | 0.0154017i | ||||
\(562\) | 8.17148e6 | + | 3.96295e7i | 0.0460354 | + | 0.223259i | ||||
\(563\) | − | 1.24196e8i | − | 0.695955i | −0.937503 | − | 0.347978i | \(-0.886869\pi\) | ||
0.937503 | − | 0.347978i | \(-0.113131\pi\) | |||||||
\(564\) | 3.32226e6 | − | 2.82890e7i | 0.0185181 | − | 0.157681i | ||||
\(565\) | 9.70652e7 | + | 1.68122e8i | 0.538169 | + | 0.932135i | ||||
\(566\) | −2.96122e7 | + | 8.92825e7i | −0.163313 | + | 0.492399i | ||||
\(567\) | −2.08771e8 | + | 1.20534e8i | −1.14530 | + | 0.661241i | ||||
\(568\) | 1.91748e8 | + | 8.96062e7i | 1.04637 | + | 0.488982i | ||||
\(569\) | −2.11517e8 | −1.14817 | −0.574087 | − | 0.818794i | \(-0.694643\pi\) | ||||
−0.574087 | + | 0.818794i | \(0.694643\pi\) | |||||||
\(570\) | −3.20150e7 | + | 1.69088e7i | −0.172874 | + | 0.0913039i | ||||
\(571\) | − | 8.23768e7i | − | 0.442483i | −0.975219 | − | 0.221242i | \(-0.928989\pi\) | ||
0.975219 | − | 0.221242i | \(-0.0710109\pi\) | |||||||
\(572\) | 1.31206e7 | − | 1.76038e7i | 0.0701074 | − | 0.0940627i | ||||
\(573\) | −2.33705e7 | − | 4.04789e7i | −0.124224 | − | 0.215161i | ||||
\(574\) | 1.44066e8 | − | 4.34367e8i | 0.761774 | − | 2.29679i | ||||
\(575\) | 2.57115e6 | − | 1.48445e6i | 0.0135246 | − | 0.00780842i | ||||
\(576\) | −1.18142e8 | − | 1.41269e8i | −0.618213 | − | 0.739229i | ||||
\(577\) | −2.58888e8 | −1.34767 | −0.673836 | − | 0.738881i | \(-0.735355\pi\) | ||||
−0.673836 | + | 0.738881i | \(0.735355\pi\) | |||||||
\(578\) | 2.49933e7 | + | 1.21211e8i | 0.129432 | + | 0.627708i | ||||
\(579\) | 1.29877e6 | + | 749843.i | 0.00669106 | + | 0.00386309i | ||||
\(580\) | 3.51240e7 | − | 2.99080e8i | 0.180020 | − | 1.53286i | ||||
\(581\) | 3.43640e8 | 1.75217 | ||||||||
\(582\) | −2.62545e7 | + | 5.41360e6i | −0.133179 | + | 0.0274611i | ||||
\(583\) | 1.04810e7 | + | 6.05124e6i | 0.0528931 | + | 0.0305378i | ||||
\(584\) | 1.32625e8 | − | 2.83803e8i | 0.665864 | − | 1.42488i | ||||
\(585\) | 7.45475e7 | − | 1.29120e8i | 0.372362 | − | 0.644950i | ||||
\(586\) | −1.63005e8 | + | 1.44982e8i | −0.810042 | + | 0.720477i | ||||
\(587\) | −1.13023e8 | + | 6.52538e7i | −0.558794 | + | 0.322620i | −0.752661 | − | 0.658408i | \(-0.771230\pi\) |
0.193867 | + | 0.981028i | \(0.437897\pi\) | |||||||
\(588\) | −1.83436e7 | − | 4.25895e7i | −0.0902301 | − | 0.209493i | ||||
\(589\) | 6.68804e7 | + | 2.30354e8i | 0.327305 | + | 1.12733i | ||||
\(590\) | 5.65021e7 | − | 1.16506e7i | 0.275111 | − | 0.0567271i | ||||
\(591\) | −2.32800e7 | + | 1.34407e7i | −0.112777 | + | 0.0651119i | ||||
\(592\) | −4.54143e7 | − | 1.08161e7i | −0.218891 | − | 0.0521322i | ||||
\(593\) | 7.04042e7 | − | 1.21944e8i | 0.337625 | − | 0.584783i | −0.646361 | − | 0.763032i | \(-0.723710\pi\) |
0.983985 | + | 0.178249i | \(0.0570432\pi\) | |||||||
\(594\) | 9.12654e6 | − | 8.11744e6i | 0.0435459 | − | 0.0387311i | ||||
\(595\) | −1.66163e8 | − | 9.59343e7i | −0.788830 | − | 0.455431i | ||||
\(596\) | −2.72521e8 | + | 1.17376e8i | −1.28724 | + | 0.554424i | ||||
\(597\) | −6.75235e7 | −0.317345 | ||||||||
\(598\) | −1.52756e7 | + | 4.60568e7i | −0.0714323 | + | 0.215372i | ||||
\(599\) | −1.28755e8 | − | 7.43366e7i | −0.599077 | − | 0.345877i | 0.169601 | − | 0.985513i | \(-0.445752\pi\) |
−0.768679 | + | 0.639635i | \(0.779085\pi\) | |||||||
\(600\) | 1.75016e6 | − | 1.22333e6i | 0.00810259 | − | 0.00566355i | ||||
\(601\) | 2.73158e8 | 1.25832 | 0.629158 | − | 0.777277i | \(-0.283400\pi\) | ||||
0.629158 | + | 0.777277i | \(0.283400\pi\) | |||||||
\(602\) | −3.09475e8 | − | 1.02643e8i | −1.41852 | − | 0.470480i | ||||
\(603\) | 4.30224e7 | − | 2.48390e7i | 0.196220 | − | 0.113288i | ||||
\(604\) | 3.08573e8 | + | 3.62388e7i | 1.40038 | + | 0.164461i | ||||
\(605\) | 1.10805e8 | + | 1.91919e8i | 0.500371 | + | 0.866668i | ||||
\(606\) | −1.30607e7 | − | 1.46844e7i | −0.0586881 | − | 0.0659837i | ||||
\(607\) | − | 9.41396e7i | − | 0.420926i | −0.977602 | − | 0.210463i | \(-0.932503\pi\) | ||
0.977602 | − | 0.210463i | \(-0.0674972\pi\) | |||||||
\(608\) | −1.60459e8 | + | 1.57378e8i | −0.713928 | + | 0.700220i | ||||
\(609\) | 9.60289e7 | 0.425158 | ||||||||
\(610\) | 2.73527e7 | − | 2.43284e7i | 0.120507 | − | 0.107183i | ||||
\(611\) | 1.23972e8 | − | 7.15753e7i | 0.543501 | − | 0.313790i | ||||
\(612\) | 1.54391e7 | − | 1.31463e8i | 0.0673546 | − | 0.573522i | ||||
\(613\) | −1.17549e8 | − | 2.03601e8i | −0.510314 | − | 0.883889i | −0.999929 | − | 0.0119503i | \(-0.996196\pi\) |
0.489615 | − | 0.871939i | \(-0.337137\pi\) | |||||||
\(614\) | −1.33498e8 | + | 4.02505e8i | −0.576727 | + | 1.73886i | ||||
\(615\) | 7.42489e7i | 0.319201i | ||||||||
\(616\) | −3.09000e7 | − | 4.42073e7i | −0.132195 | − | 0.189126i | ||||
\(617\) | 2.12425e8 | − | 3.67931e8i | 0.904380 | − | 1.56643i | 0.0826320 | − | 0.996580i | \(-0.473667\pi\) |
0.821748 | − | 0.569851i | \(-0.192999\pi\) | |||||||
\(618\) | −6.84518e7 | − | 2.27033e7i | −0.290014 | − | 0.0961887i | ||||
\(619\) | − | 4.53433e8i | − | 1.91179i | −0.293702 | − | 0.955897i | \(-0.594887\pi\) | ||
0.293702 | − | 0.955897i | \(-0.405113\pi\) | |||||||
\(620\) | −1.13503e8 | − | 2.63527e8i | −0.476246 | − | 1.10573i | ||||
\(621\) | −1.34974e7 | + | 2.33781e7i | −0.0563604 | + | 0.0976191i | ||||
\(622\) | −8.75946e7 | − | 9.84837e7i | −0.364004 | − | 0.409254i | ||||
\(623\) | 5.01615e8 | + | 2.89608e8i | 2.07447 | + | 1.19769i | ||||
\(624\) | −8.08575e6 | + | 3.39501e7i | −0.0332787 | + | 0.139729i | ||||
\(625\) | 1.28073e8 | + | 2.21828e8i | 0.524585 | + | 0.908608i | ||||
\(626\) | −7.39948e7 | − | 3.58855e8i | −0.301633 | − | 1.46284i | ||||
\(627\) | −5.27912e6 | − | 5.06427e6i | −0.0214170 | − | 0.0205454i | ||||
\(628\) | −4.80532e7 | + | 2.06968e7i | −0.194019 | + | 0.0835651i | ||||
\(629\) | −1.67776e7 | − | 2.90596e7i | −0.0674183 | − | 0.116772i | ||||
\(630\) | −2.43419e8 | − | 2.73679e8i | −0.973493 | − | 1.09451i | ||||
\(631\) | −3.08007e7 | − | 1.77828e7i | −0.122595 | − | 0.0707802i | 0.437449 | − | 0.899243i | \(-0.355882\pi\) |
−0.560043 | + | 0.828463i | \(0.689216\pi\) | |||||||
\(632\) | −1.63237e8 | − | 7.62826e7i | −0.646648 | − | 0.302186i | ||||
\(633\) | 1.18274e7 | − | 2.04856e7i | 0.0466312 | − | 0.0807676i | ||||
\(634\) | 3.50190e7 | + | 1.69833e8i | 0.137416 | + | 0.666429i | ||||
\(635\) | − | 3.62580e8i | − | 1.41606i | ||||||
\(636\) | −1.91064e7 | − | 2.24386e6i | −0.0742691 | − | 0.00872219i | ||||
\(637\) | 1.16527e8 | − | 2.01830e8i | 0.450825 | − | 0.780851i | ||||
\(638\) | 5.95911e7 | − | 1.22875e7i | 0.229467 | − | 0.0473153i | ||||
\(639\) | 2.90406e8i | 1.11302i | ||||||||
\(640\) | 1.67159e8 | − | 2.10573e8i | 0.637661 | − | 0.803274i | ||||
\(641\) | 1.76252e8 | + | 3.05278e8i | 0.669207 | + | 1.15910i | 0.978126 | + | 0.208012i | \(0.0666994\pi\) |
−0.308919 | + | 0.951088i | \(0.599967\pi\) | |||||||
\(642\) | −2.71097e7 | − | 8.99144e6i | −0.102452 | − | 0.0339801i | ||||
\(643\) | −2.32741e8 | + | 1.34373e8i | −0.875468 | + | 0.505452i | −0.869161 | − | 0.494528i | \(-0.835341\pi\) |
−0.00630653 | + | 0.999980i | \(0.502007\pi\) | |||||||
\(644\) | 9.55776e7 | + | 7.12366e7i | 0.357848 | + | 0.266714i | ||||
\(645\) | 5.29004e7 | 0.197142 | ||||||||
\(646\) | −1.61432e8 | − | 6.08611e6i | −0.598813 | − | 0.0225758i | ||||
\(647\) | − | 2.34494e7i | − | 0.0865803i | −0.999063 | − | 0.0432902i | \(-0.986216\pi\) | ||
0.999063 | − | 0.0432902i | \(-0.0137840\pi\) | |||||||
\(648\) | 1.02791e8 | − | 2.19962e8i | 0.377772 | − | 0.808395i | ||||
\(649\) | 5.82824e6 | + | 1.00948e7i | 0.0213208 | + | 0.0369287i | ||||
\(650\) | 1.01860e7 | + | 3.37836e6i | 0.0370904 | + | 0.0123017i | ||||
\(651\) | 7.92407e7 | − | 4.57497e7i | 0.287214 | − | 0.165823i | ||||
\(652\) | 3.74029e8 | + | 4.39260e7i | 1.34947 | + | 0.158482i | ||||
\(653\) | 9.44270e7 | 0.339123 | 0.169561 | − | 0.985520i | \(-0.445765\pi\) | ||||
0.169561 | + | 0.985520i | \(0.445765\pi\) | |||||||
\(654\) | 6.19753e7 | − | 1.27791e7i | 0.221557 | − | 0.0456844i | ||||
\(655\) | −2.19069e8 | − | 1.26479e8i | −0.779573 | − | 0.450086i | ||||
\(656\) | 1.31707e8 | + | 4.41697e8i | 0.466548 | + | 1.56463i | ||||
\(657\) | 4.29825e8 | 1.51564 | ||||||||
\(658\) | −7.10184e7 | − | 3.44420e8i | −0.249283 | − | 1.20896i | ||||
\(659\) | 4.17367e8 | + | 2.40967e8i | 1.45835 | + | 0.841978i | 0.998930 | − | 0.0462420i | \(-0.0147245\pi\) |
0.459418 | + | 0.888220i | \(0.348058\pi\) | |||||||
\(660\) | 7.01638e6 | + | 5.22949e6i | 0.0244051 | + | 0.0181898i | ||||
\(661\) | 4.64417e7 | − | 8.04393e7i | 0.160806 | − | 0.278525i | −0.774352 | − | 0.632755i | \(-0.781924\pi\) |
0.935158 | + | 0.354231i | \(0.115257\pi\) | |||||||
\(662\) | 2.42148e8 | + | 2.72250e8i | 0.834656 | + | 0.938414i | ||||
\(663\) | −2.17240e7 | + | 1.25423e7i | −0.0745415 | + | 0.0430366i | ||||
\(664\) | −2.83674e8 | + | 1.98283e8i | −0.968982 | + | 0.677299i | ||||
\(665\) | −3.09452e8 | + | 3.22581e8i | −1.05227 | + | 1.09692i | ||||
\(666\) | −1.29359e7 | − | 6.27357e7i | −0.0437899 | − | 0.212369i | ||||
\(667\) | −1.16458e8 | + | 6.72368e7i | −0.392455 | + | 0.226584i | ||||
\(668\) | −4.63109e7 | + | 6.21350e7i | −0.155365 | + | 0.208452i | ||||
\(669\) | −1.71938e7 | + | 2.97806e7i | −0.0574240 | + | 0.0994614i | ||||
\(670\) | 4.81998e7 | + | 5.41916e7i | 0.160258 | + | 0.180180i | ||||
\(671\) | 6.40548e6 | + | 3.69820e6i | 0.0212023 | + | 0.0122412i | ||||
\(672\) | 7.29087e7 | + | 4.51092e7i | 0.240255 | + | 0.148647i | ||||
\(673\) | −5.08497e7 | −0.166818 | −0.0834090 | − | 0.996515i | \(-0.526581\pi\) | ||||
−0.0834090 | + | 0.996515i | \(0.526581\pi\) | |||||||
\(674\) | 5.74574e6 | + | 1.90568e6i | 0.0187658 | + | 0.00622402i | ||||
\(675\) | 5.17032e6 | + | 2.98509e6i | 0.0168115 | + | 0.00970612i | ||||
\(676\) | 1.22628e8 | − | 5.28165e7i | 0.396961 | − | 0.170974i | ||||
\(677\) | 1.60871e8 | 0.518456 | 0.259228 | − | 0.965816i | \(-0.416532\pi\) | ||||
0.259228 | + | 0.965816i | \(0.416532\pi\) | |||||||
\(678\) | 1.96281e7 | − | 5.91797e7i | 0.0629779 | − | 0.189882i | ||||
\(679\) | −2.86625e8 | + | 1.65483e8i | −0.915599 | + | 0.528621i | ||||
\(680\) | 1.92522e8 | − | 1.66836e7i | 0.612285 | − | 0.0530595i | ||||
\(681\) | 5.45622e7 | + | 9.45045e7i | 0.172763 | + | 0.299234i | ||||
\(682\) | 4.33192e7 | − | 3.85295e7i | 0.136561 | − | 0.121462i | ||||
\(683\) | 3.60547e8i | 1.13162i | 0.824536 | + | 0.565809i | \(0.191436\pi\) | ||||
−0.824536 | + | 0.565809i | \(0.808564\pi\) | |||||||
\(684\) | −2.88840e8 | − | 1.08040e8i | −0.902588 | − | 0.337610i | ||||
\(685\) | −4.98377e8 | −1.55055 | ||||||||
\(686\) | −6.25123e7 | − | 7.02834e7i | −0.193639 | − | 0.217711i | ||||
\(687\) | 4.74272e7 | − | 2.73821e7i | 0.146271 | − | 0.0844494i | ||||
\(688\) | 3.14697e8 | − | 9.38374e7i | 0.966335 | − | 0.288145i | ||||
\(689\) | −4.83421e7 | − | 8.37310e7i | −0.147798 | − | 0.255993i | ||||
\(690\) | −1.83570e7 | − | 6.08844e6i | −0.0558797 | − | 0.0185336i | ||||
\(691\) | 2.71689e8i | 0.823451i | 0.911308 | + | 0.411725i | \(0.135074\pi\) | ||||
−0.911308 | + | 0.411725i | \(0.864926\pi\) | |||||||
\(692\) | −2.03793e8 | + | 8.77751e7i | −0.614995 | + | 0.264882i | ||||
\(693\) | 3.70025e7 | − | 6.40903e7i | 0.111181 | − | 0.192572i | ||||
\(694\) | 9.43262e7 | − | 2.84399e8i | 0.282198 | − | 0.850842i | ||||
\(695\) | 1.53415e8i | 0.456997i | ||||||||
\(696\) | −7.92717e7 | + | 5.54093e7i | −0.235120 | + | 0.164344i | ||||
\(697\) | −1.65644e8 | + | 2.86905e8i | −0.489191 | + | 0.847304i | ||||
\(698\) | −2.20719e7 | + | 1.96315e7i | −0.0649043 | + | 0.0577280i | ||||
\(699\) | 8.63233e7 | + | 4.98388e7i | 0.252753 | + | 0.145927i | ||||
\(700\) | 1.57547e7 | − | 2.11380e7i | 0.0459322 | − | 0.0616269i | ||||
\(701\) | −5.26491e7 | − | 9.11909e7i | −0.152840 | − | 0.264727i | 0.779430 | − | 0.626489i | \(-0.215509\pi\) |
−0.932270 | + | 0.361762i | \(0.882175\pi\) | |||||||
\(702\) | −9.55663e7 | + | 1.97055e7i | −0.276244 | + | 0.0569608i | ||||
\(703\) | −7.50759e7 | + | 2.17973e7i | −0.216090 | + | 0.0627390i | ||||
\(704\) | 5.10158e7 | + | 1.86635e7i | 0.146213 | + | 0.0534904i | ||||
\(705\) | 2.85280e7 | + | 4.94119e7i | 0.0814148 | + | 0.141015i | ||||
\(706\) | −3.96488e8 | + | 3.52649e8i | −1.12672 | + | 1.00214i | ||||
\(707\) | −2.10127e8 | − | 1.21317e8i | −0.594599 | − | 0.343292i | ||||
\(708\) | −1.48563e7 | − | 1.10728e7i | −0.0418611 | − | 0.0312002i | ||||
\(709\) | −2.26536e8 | + | 3.92371e8i | −0.635621 | + | 1.10093i | 0.350762 | + | 0.936464i | \(0.385922\pi\) |
−0.986383 | + | 0.164463i | \(0.947411\pi\) | |||||||
\(710\) | −4.15231e8 | + | 8.56195e7i | −1.16015 | + | 0.239220i | ||||
\(711\) | − | 2.47225e8i | − | 0.687835i | ||||||
\(712\) | −5.81188e8 | + | 5.03647e7i | −1.61019 | + | 0.139536i | ||||
\(713\) | −6.40653e7 | + | 1.10964e8i | −0.176748 | + | 0.306136i | ||||
\(714\) | 1.24447e7 | + | 6.03537e7i | 0.0341894 | + | 0.165809i | ||||
\(715\) | 4.39796e7i | 0.120319i | ||||||||
\(716\) | 1.36164e8 | + | 1.59912e7i | 0.370957 | + | 0.0435653i | ||||
\(717\) | −2.70944e7 | − | 4.69289e7i | −0.0735059 | − | 0.127316i | ||||
\(718\) | 7.82168e7 | − | 2.35828e8i | 0.211313 | − | 0.637122i | ||||
\(719\) | 4.09575e7 | − | 2.36468e7i | 0.110191 | − | 0.0636189i | −0.443892 | − | 0.896081i | \(-0.646402\pi\) |
0.554083 | + | 0.832462i | \(0.313069\pi\) | |||||||
\(720\) | 3.58857e8 | + | 8.54672e7i | 0.961443 | + | 0.228982i | ||||
\(721\) | −8.90401e8 | −2.37564 | ||||||||
\(722\) | −1.03546e8 | + | 3.61843e8i | −0.275119 | + | 0.961410i | ||||
\(723\) | − | 4.54970e7i | − | 0.120384i | ||||||
\(724\) | 4.55341e8 | + | 3.39378e8i | 1.19983 | + | 0.894268i | ||||
\(725\) | 1.48701e7 | + | 2.57558e7i | 0.0390213 | + | 0.0675868i | ||||
\(726\) | 2.24064e7 | − | 6.75565e7i | 0.0585548 | − | 0.176546i | ||||
\(727\) | −3.59271e8 | + | 2.07425e8i | −0.935017 | + | 0.539832i | −0.888395 | − | 0.459080i | \(-0.848179\pi\) |
−0.0466221 | + | 0.998913i | \(0.514846\pi\) | |||||||
\(728\) | 3.72002e7 | + | 4.29275e8i | 0.0964165 | + | 1.11261i | ||||
\(729\) | 3.05493e8 | 0.788530 | ||||||||
\(730\) | 1.26724e8 | + | 6.14577e8i | 0.325754 | + | 1.57982i | ||||
\(731\) | 2.04412e8 | + | 1.18017e8i | 0.523304 | + | 0.302130i | ||||
\(732\) | −1.16769e7 | − | 1.37133e6i | −0.0297710 | − | 0.00349631i | ||||
\(733\) | 1.85084e8 | 0.469956 | 0.234978 | − | 0.972001i | \(-0.424498\pi\) | ||||
0.234978 | + | 0.972001i | \(0.424498\pi\) | |||||||
\(734\) | 1.79448e8 | − | 3.70017e7i | 0.453786 | − | 0.0935693i | ||||
\(735\) | 8.04441e7 | + | 4.64444e7i | 0.202597 | + | 0.116969i | ||||
\(736\) | −1.20003e8 | − | 3.65673e6i | −0.300995 | − | 0.00917191i | ||||
\(737\) | −7.32693e6 | + | 1.26906e7i | −0.0183029 | + | 0.0317015i | ||||
\(738\) | −4.72547e8 | + | 4.20298e8i | −1.17564 | + | 1.04566i | ||||
\(739\) | 4.93518e8 | − | 2.84933e8i | 1.22284 | − | 0.706007i | 0.257318 | − | 0.966327i | \(-0.417161\pi\) |
0.965523 | + | 0.260319i | \(0.0838278\pi\) | |||||||
\(740\) | 8.58875e7 | − | 3.69923e7i | 0.211951 | − | 0.0912885i | ||||
\(741\) | 1.62949e7 | + | 5.61240e7i | 0.0400495 | + | 0.137941i | ||||
\(742\) | −2.32622e8 | + | 4.79660e7i | −0.569428 | + | 0.117414i | ||||
\(743\) | 4.82920e8 | − | 2.78814e8i | 1.17736 | − | 0.679748i | 0.221956 | − | 0.975057i | \(-0.428756\pi\) |
0.955402 | + | 0.295309i | \(0.0954225\pi\) | |||||||
\(744\) | −3.90152e7 | + | 8.34887e7i | −0.0947360 | + | 0.202726i | ||||
\(745\) | 2.97188e8 | − | 5.14744e8i | 0.718724 | − | 1.24487i | ||||
\(746\) | 5.12365e8 | − | 4.55714e8i | 1.23414 | − | 1.09768i | ||||
\(747\) | −4.11261e8 | − | 2.37442e8i | −0.986634 | − | 0.569634i | ||||
\(748\) | 1.54453e7 | + | 3.58603e7i | 0.0369055 | + | 0.0856859i | ||||
\(749\) | −3.52635e8 | −0.839228 | ||||||||
\(750\) | 2.46181e7 | − | 7.42249e7i | 0.0583540 | − | 0.175940i | ||||
\(751\) | 3.17598e8 | + | 1.83365e8i | 0.749821 | + | 0.432909i | 0.825629 | − | 0.564213i | \(-0.190820\pi\) |
−0.0758081 | + | 0.997122i | \(0.524154\pi\) | |||||||
\(752\) | 2.57358e8 | + | 2.43340e8i | 0.605180 | + | 0.572216i | ||||
\(753\) | −1.13572e7 | −0.0266002 | ||||||||
\(754\) | −4.61363e8 | − | 1.53020e8i | −1.07629 | − | 0.356971i | ||||
\(755\) | −5.38978e8 | + | 3.11179e8i | −1.25236 | + | 0.723053i | ||||
\(756\) | −2.79593e7 | + | 2.38072e8i | −0.0647084 | + | 0.550990i | ||||
\(757\) | −3.52587e8 | − | 6.10698e8i | −0.812790 | − | 1.40779i | −0.910904 | − | 0.412618i | \(-0.864614\pi\) |
0.0981143 | − | 0.995175i | \(-0.468719\pi\) | |||||||
\(758\) | 2.75203e8 | + | 3.09415e8i | 0.631897 | + | 0.710449i | ||||
\(759\) | − | 3.90773e6i | − | 0.00893716i | ||||||
\(760\) | 6.93208e7 | − | 4.44846e8i | 0.157915 | − | 1.01337i | ||||
\(761\) | 3.91113e8 | 0.887458 | 0.443729 | − | 0.896161i | \(-0.353655\pi\) | ||||
0.443729 | + | 0.896161i | \(0.353655\pi\) | |||||||
\(762\) | −8.70134e7 | + | 7.73926e7i | −0.196662 | + | 0.174918i | ||||
\(763\) | 6.76596e8 | − | 3.90633e8i | 1.52320 | − | 0.879417i | ||||
\(764\) | 5.77248e8 | + | 6.77922e7i | 1.29444 | + | 0.152020i | ||||
\(765\) | 1.32574e8 | + | 2.29625e8i | 0.296124 | + | 0.512902i | ||||
\(766\) | 1.97433e7 | − | 5.95270e7i | 0.0439271 | − | 0.132443i | ||||
\(767\) | − | 9.31212e7i | − | 0.206378i | ||||||
\(768\) | −8.62143e7 | + | 4.83130e6i | −0.190325 | + | 0.0106655i | ||||
\(769\) | −1.60875e8 | + | 2.78644e8i | −0.353761 | + | 0.612733i | −0.986905 | − | 0.161301i | \(-0.948431\pi\) |
0.633144 | + | 0.774034i | \(0.281764\pi\) | |||||||
\(770\) | 1.02548e8 | + | 3.40119e7i | 0.224623 | + | 0.0745003i | ||||
\(771\) | 1.38076e8i | 0.301270i | ||||||||
\(772\) | −1.71272e7 | + | 7.37681e6i | −0.0372251 | + | 0.0160331i | ||||
\(773\) | 3.33246e8 | − | 5.77199e8i | 0.721484 | − | 1.24965i | −0.238921 | − | 0.971039i | \(-0.576794\pi\) |
0.960405 | − | 0.278608i | \(-0.0898730\pi\) | |||||||
\(774\) | 2.99451e8 | + | 3.36677e8i | 0.645808 | + | 0.726090i | ||||
\(775\) | 2.45410e7 | + | 1.41687e7i | 0.0527214 | + | 0.0304387i | ||||
\(776\) | 1.41124e8 | − | 3.01991e8i | 0.302006 | − | 0.646262i | ||||
\(777\) | 1.49105e7 | + | 2.58258e7i | 0.0317855 | + | 0.0550542i | ||||
\(778\) | −1.48736e8 | − | 7.21329e8i | −0.315847 | − | 1.53177i | ||||
\(779\) | 5.56983e8 | + | 5.34314e8i | 1.17823 | + | 1.13028i | ||||
\(780\) | −2.76541e7 | − | 6.42065e7i | −0.0582742 | − | 0.135299i | ||||
\(781\) | −4.28315e7 | − | 7.41863e7i | −0.0899104 | − | 0.155729i | ||||
\(782\) | −5.73501e7 | − | 6.44795e7i | −0.119926 | − | 0.134835i | ||||
\(783\) | −2.34185e8 | − | 1.35207e8i | −0.487835 | − | 0.281652i | ||||
\(784\) | 5.60936e8 | + | 1.33596e8i | 1.16403 | + | 0.277232i | ||||
\(785\) | 5.24027e7 | − | 9.07642e7i | 0.108329 | − | 0.187631i | ||||
\(786\) | 1.64071e7 | + | 7.95700e7i | 0.0337881 | + | 0.163863i | ||||
\(787\) | 4.33947e7i | 0.0890251i | 0.999009 | + | 0.0445126i | \(0.0141735\pi\) | ||||
−0.999009 | + | 0.0445126i | \(0.985827\pi\) | |||||||
\(788\) | 3.89884e7 | − | 3.31985e8i | 0.0796813 | − | 0.678484i | ||||
\(789\) | −2.62305e7 | + | 4.54326e7i | −0.0534043 | + | 0.0924989i | ||||
\(790\) | 3.53490e8 | − | 7.28887e7i | 0.716962 | − | 0.147835i | ||||
\(791\) | − | 7.69792e8i | − | 1.55541i | ||||||
\(792\) | 6.43499e6 | + | 7.42571e7i | 0.0129531 | + | 0.149473i | ||||
\(793\) | −2.95442e7 | − | 5.11721e7i | −0.0592451 | − | 0.102616i | ||||
\(794\) | −4.22818e8 | − | 1.40236e8i | −0.844680 | − | 0.280154i | ||||
\(795\) | 3.33729e7 | − | 1.92678e7i | 0.0664190 | − | 0.0383470i | ||||
\(796\) | 5.01770e8 | − | 6.73221e8i | 0.994867 | − | 1.33481i | ||||
\(797\) | −4.74346e8 | −0.936959 | −0.468480 | − | 0.883474i | \(-0.655198\pi\) | ||||
−0.468480 | + | 0.883474i | \(0.655198\pi\) | |||||||
\(798\) | 1.43467e8 | + | 5.40883e6i | 0.282321 | + | 0.0106437i | ||||
\(799\) | 2.54576e8i | 0.499088i | ||||||||
\(800\) | −808726. | + | 2.65400e7i | −0.00157954 | + | 0.0518359i | ||||
\(801\) | −4.00216e8 | − | 6.93194e8i | −0.778747 | − | 1.34883i | ||||
\(802\) | −1.40928e7 | − | 4.67415e6i | −0.0273196 | − | 0.00906108i | ||||
\(803\) | −1.09802e8 | + | 6.33942e7i | −0.212062 | + | 0.122434i | ||||
\(804\) | 2.71691e6 | − | 2.31344e7i | 0.00522765 | − | 0.0445133i | ||||
\(805\) | −2.38782e8 | −0.457735 | ||||||||
\(806\) | −4.53606e8 | + | 9.35322e7i | −0.866311 | + | 0.178631i | ||||
\(807\) | −9.19938e6 | − | 5.31127e6i | −0.0175040 | − | 0.0101060i | ||||
\(808\) | 2.43460e8 | − | 2.10978e7i | 0.461524 | − | 0.0399948i | ||||
\(809\) | −1.46868e8 | −0.277385 | −0.138692 | − | 0.990336i | \(-0.544290\pi\) | ||||
−0.138692 | + | 0.990336i | \(0.544290\pi\) | |||||||
\(810\) | 9.82177e7 | + | 4.76329e8i | 0.184814 | + | 0.896298i | ||||
\(811\) | −9.89525e7 | − | 5.71303e7i | −0.185509 | − | 0.107104i | 0.404370 | − | 0.914596i | \(-0.367491\pi\) |
−0.589878 | + | 0.807492i | \(0.700824\pi\) | |||||||
\(812\) | −7.13595e8 | + | 9.57425e8i | −1.33286 | + | 1.78829i | ||||
\(813\) | 7.69114e7 | − | 1.33214e8i | 0.143126 | − | 0.247902i | ||||
\(814\) | 1.25573e7 | + | 1.41184e7i | 0.0232822 | + | 0.0261765i | ||||
\(815\) | −6.53310e8 | + | 3.77188e8i | −1.20683 | + | 0.696764i | ||||
\(816\) | −4.50976e7 | − | 4.26411e7i | −0.0830009 | − | 0.0784799i | ||||
\(817\) | 3.80685e8 | − | 3.96836e8i | 0.698070 | − | 0.727687i | ||||
\(818\) | −2.20176e7 | − | 1.06779e8i | −0.0402263 | − | 0.195087i | ||||
\(819\) | −5.12004e8 | + | 2.95606e8i | −0.932013 | + | 0.538098i | ||||
\(820\) | −7.40275e8 | − | 5.51747e8i | −1.34262 | − | 1.00069i | ||||
\(821\) | 1.31524e8 | − | 2.27806e8i | 0.237670 | − | 0.411657i | −0.722375 | − | 0.691502i | \(-0.756950\pi\) |
0.960045 | + | 0.279844i | \(0.0902829\pi\) | |||||||
\(822\) | 1.06378e8 | + | 1.19603e8i | 0.191531 | + | 0.215340i | ||||
\(823\) | −6.81538e8 | − | 3.93486e8i | −1.22262 | − | 0.705879i | −0.257142 | − | 0.966374i | \(-0.582781\pi\) |
−0.965475 | + | 0.260495i | \(0.916114\pi\) | |||||||
\(824\) | 7.35024e8 | − | 5.13767e8i | 1.31377 | − | 0.918301i | ||||
\(825\) | −864237. | −0.00153912 | ||||||||
\(826\) | −2.17132e8 | − | 7.20158e7i | −0.385286 | − | 0.127787i | ||||
\(827\) | −5.14130e8 | − | 2.96833e8i | −0.908984 | − | 0.524802i | −0.0288800 | − | 0.999583i | \(-0.509194\pi\) |
−0.880104 | + | 0.474781i | \(0.842527\pi\) | |||||||
\(828\) | −6.51637e7 | − | 1.51295e8i | −0.114793 | − | 0.266522i | ||||
\(829\) | −6.56933e8 | −1.15307 | −0.576537 | − | 0.817071i | \(-0.695596\pi\) | ||||
−0.576537 | + | 0.817071i | \(0.695596\pi\) | |||||||
\(830\) | 2.18251e8 | − | 6.58039e8i | 0.381700 | − | 1.15085i | ||||
\(831\) | 1.29870e8 | − | 7.49803e7i | 0.226311 | − | 0.130660i | ||||
\(832\) | −2.78403e8 | − | 3.32901e8i | −0.483398 | − | 0.578023i | ||||
\(833\) | 2.07229e8 | + | 3.58931e8i | 0.358522 | + | 0.620978i | ||||
\(834\) | 3.68171e7 | − | 3.27463e7i | 0.0634676 | − | 0.0564501i | ||||
\(835\) | − | 1.55232e8i | − | 0.266638i | ||||||
\(836\) | 8.97210e7 | − | 1.50010e7i | 0.153559 | − | 0.0256745i | ||||
\(837\) | −2.57658e8 | −0.439407 | ||||||||
\(838\) | 5.20025e8 | + | 5.84671e8i | 0.883674 | + | 0.993526i | ||||
\(839\) | 6.63925e8 | − | 3.83317e8i | 1.12417 | − | 0.649042i | 0.181710 | − | 0.983352i | \(-0.441837\pi\) |
0.942463 | + | 0.334310i | \(0.108503\pi\) | |||||||
\(840\) | −1.71097e8 | + | 1.48270e7i | −0.288673 | + | 0.0250158i | ||||
\(841\) | −3.76117e8 | − | 6.51453e8i | −0.632317 | − | 1.09520i | ||||
\(842\) | 5.68394e8 | + | 1.88519e8i | 0.952168 | + | 0.315804i | ||||
\(843\) | 2.60322e7i | 0.0434538i | ||||||||
\(844\) | 1.16355e8 | + | 2.70150e8i | 0.193535 | + | 0.449343i | ||||
\(845\) | −1.33727e8 | + | 2.31622e8i | −0.221641 | + | 0.383893i | ||||
\(846\) | −1.52988e8 | + | 4.61266e8i | −0.252665 | + | 0.761799i | ||||
\(847\) | − | 8.78756e8i | − | 1.44616i | ||||||
\(848\) | 1.64352e8 | − | 1.73820e8i | 0.269518 | − | 0.285045i | ||||
\(849\) | −3.02586e7 | + | 5.24094e7i | −0.0494454 | + | 0.0856419i | ||||
\(850\) | −1.42603e7 | + | 1.26836e7i | −0.0232206 | + | 0.0206531i | ||||
\(851\) | −3.61650e7 | − | 2.08799e7i | −0.0586813 | − | 0.0338797i | ||||
\(852\) | 1.09178e8 | + | 8.13736e7i | 0.176530 | + | 0.131572i | ||||
\(853\) | −552301. | − | 956613.i | −0.000889874 | − | 0.00154131i | 0.865580 | − | 0.500770i | \(-0.166950\pi\) |
−0.866470 | + | 0.499229i | \(0.833617\pi\) | |||||||
\(854\) | −1.42167e8 | + | 2.93143e7i | −0.228257 | + | 0.0470659i | ||||
\(855\) | 5.93237e8 | − | 1.72239e8i | 0.949140 | − | 0.275571i | ||||
\(856\) | 2.91099e8 | − | 2.03473e8i | 0.464109 | − | 0.324403i | ||||
\(857\) | 1.38697e8 | + | 2.40230e8i | 0.220356 | + | 0.381667i | 0.954916 | − | 0.296876i | \(-0.0959449\pi\) |
−0.734560 | + | 0.678543i | \(0.762612\pi\) | |||||||
\(858\) | 1.05544e7 | − | 9.38743e6i | 0.0167098 | − | 0.0148623i | ||||
\(859\) | 8.89123e8 | + | 5.13335e8i | 1.40276 | + | 0.809882i | 0.994675 | − | 0.103064i | \(-0.0328645\pi\) |
0.408082 | + | 0.912945i | \(0.366198\pi\) | |||||||
\(860\) | −3.93105e8 | + | 5.27426e8i | −0.618035 | + | 0.829214i | ||||
\(861\) | 1.47211e8 | − | 2.54977e8i | 0.230638 | − | 0.399476i | ||||
\(862\) | 6.14444e8 | − | 1.26697e8i | 0.959314 | − | 0.197808i | ||||
\(863\) | − | 1.96458e8i | − | 0.305659i | −0.988253 | − | 0.152830i | \(-0.951161\pi\) | ||
0.988253 | − | 0.152830i | \(-0.0488386\pi\) | |||||||
\(864\) | −1.14289e8 | − | 2.12661e8i | −0.177200 | − | 0.329721i | ||||
\(865\) | 2.22239e8 | − | 3.84930e8i | 0.343378 | − | 0.594749i | ||||
\(866\) | −2.76941e7 | − | 1.34309e8i | −0.0426416 | − | 0.206800i | ||||
\(867\) | 7.96221e7i | 0.122173i | ||||||||
\(868\) | −1.32709e8 | + | 1.13001e9i | −0.202927 | + | 1.72792i | ||||
\(869\) | 3.64629e7 | + | 6.31555e7i | 0.0555637 | + | 0.0962392i | ||||
\(870\) | 6.09894e7 | − | 1.83887e8i | 0.0926183 | − | 0.279249i | ||||
\(871\) | 1.01383e8 | − | 5.85334e7i | 0.153430 | − | 0.0885827i | ||||
\(872\) | −3.33131e8 | + | 7.12867e8i | −0.502418 | + | 1.07512i | ||||
\(873\) | 4.57370e8 | 0.687425 | ||||||||
\(874\) | −1.77774e8 | + | 9.38921e7i | −0.266278 | + | 0.140635i | ||||
\(875\) | − | 9.65495e8i | − | 1.44121i | ||||||
\(876\) | 1.20440e8 | − | 1.61593e8i | 0.179167 | − | 0.240387i | ||||
\(877\) | 5.71631e8 | + | 9.90093e8i | 0.847455 | + | 1.46784i | 0.883472 | + | 0.468484i | \(0.155200\pi\) |
−0.0360167 | + | 0.999351i | \(0.511467\pi\) | |||||||
\(878\) | −2.89241e7 | + | 8.72078e7i | −0.0427343 | + | 0.128846i | ||||
\(879\) | −1.21546e8 | + | 7.01745e7i | −0.178967 | + | 0.103327i | ||||
\(880\) | −1.04278e8 | + | 3.10939e7i | −0.153019 | + | 0.0456276i | ||||
\(881\) | −5.53156e8 | −0.808947 | −0.404474 | − | 0.914550i | \(-0.632545\pi\) | ||||
−0.404474 | + | 0.914550i | \(0.632545\pi\) | |||||||
\(882\) | 1.59778e8 | + | 7.74881e8i | 0.232869 | + | 1.12935i | ||||
\(883\) | 7.50721e8 | + | 4.33429e8i | 1.09043 | + | 0.629558i | 0.933690 | − | 0.358082i | \(-0.116569\pi\) |
0.156737 | + | 0.987640i | \(0.449903\pi\) | |||||||
\(884\) | 3.63823e7 | − | 3.09794e8i | 0.0526664 | − | 0.448453i | ||||
\(885\) | 3.71156e7 | 0.0535459 | ||||||||
\(886\) | −1.49460e8 | + | 3.08181e7i | −0.214893 | + | 0.0443103i | ||||
\(887\) | −8.70971e8 | − | 5.02855e8i | −1.24805 | − | 0.720564i | −0.277332 | − | 0.960774i | \(-0.589450\pi\) |
−0.970721 | + | 0.240211i | \(0.922783\pi\) | |||||||
\(888\) | −2.72102e7 | − | 1.27157e7i | −0.0388592 | − | 0.0181593i | ||||
\(889\) | −7.18875e8 | + | 1.24513e9i | −1.02317 | + | 1.77218i | ||||
\(890\) | 8.73156e8 | − | 7.76613e8i | 1.23857 | − | 1.10163i | ||||
\(891\) | −8.51022e7 | + | 4.91338e7i | −0.120312 | + | 0.0694620i | ||||
\(892\) | −1.69150e8 | − | 3.92726e8i | −0.238329 | − | 0.553344i | ||||
\(893\) | 5.75961e8 | + | 1.41576e8i | 0.808795 | + | 0.198809i | ||||
\(894\) | −1.86965e8 | + | 3.85516e7i | −0.261667 | + | 0.0539548i | ||||
\(895\) | −2.37836e8 | + | 1.37314e8i | −0.331748 | + | 0.191535i | ||||
\(896\) | −9.91534e8 | + | 3.91705e8i | −1.37843 | + | 0.544547i | ||||
\(897\) | −1.56090e7 | + | 2.70357e7i | −0.0216271 | + | 0.0374593i | ||||
\(898\) | 5.31444e8 | − | 4.72683e8i | 0.733886 | − | 0.652742i | ||||
\(899\) | −1.11156e9 | − | 6.41758e8i | −1.52987 | − | 0.883268i | ||||
\(900\) | −3.34605e7 | + | 1.44117e7i | −0.0458992 | + | 0.0197691i | ||||
\(901\) | 1.71941e8 | 0.235075 | ||||||||
\(902\) | 5.87264e7 | − | 1.77063e8i | 0.0800228 | − | 0.241273i | ||||
\(903\) | −1.81664e8 | − | 1.04884e8i | −0.246721 | − | 0.142444i | ||||
\(904\) | 4.44175e8 | + | 6.35462e8i | 0.601242 | + | 0.860170i | ||||
\(905\) | −1.13758e9 | −1.53475 | ||||||||
\(906\) | 1.89723e8 | + | 6.29252e7i | 0.255115 | + | 0.0846135i | ||||
\(907\) | −3.46279e8 | + | 1.99924e8i | −0.464092 | + | 0.267944i | −0.713763 | − | 0.700387i | \(-0.753011\pi\) |
0.249671 | + | 0.968331i | \(0.419677\pi\) | |||||||
\(908\) | −1.34768e9 | − | 1.58272e8i | −1.80024 | − | 0.211420i | ||||
\(909\) | 1.67651e8 | + | 2.90380e8i | 0.223210 | + | 0.386611i | ||||
\(910\) | −5.73619e8 | − | 6.44927e8i | −0.761201 | − | 0.855828i | ||||
\(911\) | 1.07845e9i | 1.42642i | 0.700951 | + | 0.713209i | \(0.252759\pi\) | ||||
−0.700951 | + | 0.713209i | \(0.747241\pi\) | |||||||
\(912\) | −1.21553e8 | + | 7.83163e7i | −0.160243 | + | 0.103245i | ||||
\(913\) | 1.40080e8 | 0.184061 | ||||||||
\(914\) | 6.31019e8 | − | 5.61248e8i | 0.826425 | − | 0.735049i | ||||
\(915\) | 2.03958e7 | − | 1.17755e7i | 0.0266242 | − | 0.0153715i | ||||
\(916\) | −7.94290e7 | + | 6.76335e8i | −0.103346 | + | 0.879985i | ||||
\(917\) | 5.01533e8 | + | 8.68681e8i | 0.650417 | + | 1.12655i | ||||
\(918\) | 5.46277e7 | − | 1.64706e8i | 0.0706131 | − | 0.212902i | ||||
\(919\) | 2.91285e8i | 0.375293i | 0.982237 | + | 0.187647i | \(0.0600860\pi\) | ||||
−0.982237 | + | 0.187647i | \(0.939914\pi\) | |||||||
\(920\) | 1.97114e8 | − | 1.37779e8i | 0.253136 | − | 0.176937i | ||||
\(921\) | −1.36412e8 | + | 2.36273e8i | −0.174612 | + | 0.302437i | ||||
\(922\) | −3.17642e7 | − | 1.05352e7i | −0.0405271 | − | 0.0134416i | ||||
\(923\) | 6.84344e8i | 0.870301i | ||||||||
\(924\) | −1.37265e7 | − | 3.18696e7i | −0.0173997 | − | 0.0403981i | ||||
\(925\) | −4.61781e6 | + | 7.99828e6i | −0.00583459 | + | 0.0101058i | ||||
\(926\) | −2.30563e7 | − | 2.59225e7i | −0.0290373 | − | 0.0326470i | ||||
\(927\) | 1.06561e9 | + | 6.15233e8i | 1.33771 | + | 0.772325i | ||||
\(928\) | 3.66304e7 | − | 1.20210e9i | 0.0458351 | − | 1.50417i | ||||
\(929\) | 2.32249e7 | + | 4.02267e7i | 0.0289672 | + | 0.0501727i | 0.880146 | − | 0.474704i | \(-0.157445\pi\) |
−0.851178 | + | 0.524877i | \(0.824111\pi\) | |||||||
\(930\) | −3.72794e7 | − | 1.80795e8i | −0.0463468 | − | 0.224770i | ||||
\(931\) | 9.27302e8 | − | 2.69230e8i | 1.14914 | − | 0.333638i | ||||
\(932\) | −1.13837e9 | + | 4.90304e8i | −1.40617 | + | 0.605645i | ||||
\(933\) | −4.23978e7 | − | 7.34351e7i | −0.0522033 | − | 0.0904189i | ||||
\(934\) | 3.85388e8 | + | 4.33296e8i | 0.472996 | + | 0.531795i | ||||
\(935\) | −6.77339e7 | − | 3.91062e7i | −0.0828650 | − | 0.0478421i | ||||
\(936\) | 2.52092e8 | − | 5.39452e8i | 0.307420 | − | 0.657848i | ||||
\(937\) | 7.97410e8 | − | 1.38115e9i | 0.969311 | − | 1.67890i | 0.271752 | − | 0.962367i | \(-0.412397\pi\) |
0.697558 | − | 0.716528i | \(-0.254270\pi\) | |||||||
\(938\) | −5.80779e7 | − | 2.81662e8i | −0.0703724 | − | 0.341288i | ||||
\(939\) | − | 2.35728e8i | − | 0.284718i | ||||||
\(940\) | −7.04638e8 | − | 8.27528e7i | −0.848364 | − | 0.0996321i | ||||
\(941\) | 4.89377e8 | − | 8.47626e8i | 0.587320 | − | 1.01727i | −0.407262 | − | 0.913311i | \(-0.633516\pi\) |
0.994582 | − | 0.103957i | \(-0.0331503\pi\) | |||||||
\(942\) | −3.29673e7 | + | 6.79776e6i | −0.0394395 | + | 0.00813229i | ||||
\(943\) | 4.12292e8i | 0.491666i | ||||||||
\(944\) | 2.20795e8 | − | 6.58375e7i | 0.262467 | − | 0.0782632i | ||||
\(945\) | −2.40084e8 | − | 4.15837e8i | −0.284490 | − | 0.492751i | ||||
\(946\) | −1.26153e8 | − | 4.18410e7i | −0.149013 | − | 0.0494230i | ||||
\(947\) | −1.38377e9 | + | 7.98920e8i | −1.62935 | + | 0.940705i | −0.645062 | + | 0.764130i | \(0.723168\pi\) |
−0.984287 | + | 0.176575i | \(0.943498\pi\) | |||||||
\(948\) | −9.29446e7 | − | 6.92741e7i | −0.109094 | − | 0.0813103i | ||||
\(949\) | 1.01289e9 | 1.18512 | ||||||||
\(950\) | 2.07652e7 | + | 3.93167e7i | 0.0242196 | + | 0.0458571i | ||||
\(951\) | 1.11561e8i | 0.129710i | ||||||||
\(952\) | −6.94214e8 | − | 3.24414e8i | −0.804605 | − | 0.376001i | ||||
\(953\) | 1.28036e8 | + | 2.21764e8i | 0.147929 | + | 0.256220i | 0.930462 | − | 0.366389i | \(-0.119406\pi\) |
−0.782533 | + | 0.622609i | \(0.786073\pi\) | |||||||
\(954\) | 3.11540e8 | + | 1.03328e8i | 0.358814 | + | 0.119007i | ||||
\(955\) | −1.00827e9 | + | 5.82125e8i | −1.15762 | + | 0.668353i | ||||
\(956\) | 6.69229e8 | + | 7.85945e7i | 0.765952 | + | 0.0899536i | ||||
\(957\) | 3.91448e7 | 0.0446620 | ||||||||
\(958\) | −1.29814e9 | + | 2.67673e8i | −1.47647 | + | 0.304444i | ||||
\(959\) | 1.71147e9 | + | 9.88116e8i | 1.94050 | + | 1.12035i | ||||
\(960\) | 1.32685e8 | − | 1.10964e8i | 0.149972 | − | 0.125420i | ||||
\(961\) | −3.35471e8 | −0.377994 | ||||||||
\(962\) | −3.04836e7 | − | 1.47837e8i | −0.0342405 | − | 0.166057i | ||||
\(963\) | 4.22026e8 | + | 2.43657e8i | 0.472564 | + | 0.272835i | ||||
\(964\) | 4.53614e8 | + | 3.38090e8i | 0.506355 | + | 0.377400i | ||||
\(965\) | 1.86775e7 | − | 3.23504e7i | 0.0207844 | − | 0.0359996i | ||||
\(966\) | 5.09680e7 | + | 5.73040e7i | 0.0565413 | + | 0.0635702i | ||||
\(967\) | −1.04930e9 | + | 6.05815e8i | −1.16044 | + | 0.669978i | −0.951408 | − | 0.307932i | \(-0.900363\pi\) |
−0.209027 | + | 0.977910i | \(0.567030\pi\) | |||||||
\(968\) | 5.07048e8 | + | 7.25411e8i | 0.559014 | + | 0.799757i | ||||
\(969\) | −1.00927e8 | − | 2.48088e7i | −0.110927 | − | 0.0272668i | ||||
\(970\) | 1.34845e8 | + | 6.53962e8i | 0.147747 | + | 0.716535i | ||||
\(971\) | 1.02434e8 | − | 5.91404e7i | 0.111889 | − | 0.0645992i | −0.443011 | − | 0.896516i | \(-0.646090\pi\) |
0.554900 | + | 0.831917i | \(0.312756\pi\) | |||||||
\(972\) | 2.98772e8 | − | 4.00860e8i | 0.325342 | − | 0.436509i | ||||
\(973\) | 3.04171e8 | − | 5.26839e8i | 0.330201 | − | 0.571925i | ||||
\(974\) | −8.34057e8 | − | 9.37741e8i | −0.902649 | − | 1.01486i | ||||
\(975\) | 5.97923e6 | + | 3.45211e6i | 0.00645106 | + | 0.00372452i | ||||
\(976\) | 1.00444e8 | − | 1.06230e8i | 0.108037 | − | 0.114261i | ||||
\(977\) | 1.53178e9 | 1.64253 | 0.821266 | − | 0.570546i | \(-0.193268\pi\) | ||||
0.821266 | + | 0.570546i | \(0.193268\pi\) | |||||||
\(978\) | 2.29968e8 | + | 7.62732e7i | 0.245839 | + | 0.0815372i | ||||
\(979\) | 2.04476e8 | + | 1.18054e8i | 0.217919 | + | 0.125815i | ||||
\(980\) | −1.06084e9 | + | 4.56911e8i | −1.12713 | + | 0.485460i | ||||
\(981\) | −1.07965e9 | −1.14360 | ||||||||
\(982\) | −3.86673e8 | + | 1.16584e9i | −0.408328 | + | 1.23113i | ||||
\(983\) | 1.52906e9 | − | 8.82801e8i | 1.60977 | − | 0.929399i | 0.620346 | − | 0.784329i | \(-0.286992\pi\) |
0.989421 | − | 0.145071i | \(-0.0463410\pi\) | |||||||
\(984\) | 2.56010e7 | + | 2.95425e8i | 0.0268702 | + | 0.310071i | ||||
\(985\) | 3.34789e8 | + | 5.79872e8i | 0.350318 | + | 0.606769i | ||||
\(986\) | 6.45908e8 | − | 5.74491e8i | 0.673813 | − | 0.599311i | ||||
\(987\) | − | 2.26246e8i | − | 0.235304i | ||||||
\(988\) | −6.80655e8 | − | 2.54597e8i | −0.705759 | − | 0.263987i | ||||
\(989\) | 2.93747e8 | 0.303658 | ||||||||
\(990\) | −9.92261e7 | − | 1.11561e8i | −0.102263 | − | 0.114976i | ||||
\(991\) | 7.85228e8 | − | 4.53352e8i | 0.806817 | − | 0.465816i | −0.0390326 | − | 0.999238i | \(-0.512428\pi\) |
0.845849 | + | 0.533422i | \(0.179094\pi\) | |||||||
\(992\) | −5.42473e8 | − | 1.00940e9i | −0.555704 | − | 1.03401i | ||||
\(993\) | 1.17205e8 | + | 2.03006e8i | 0.119702 | + | 0.207329i | ||||
\(994\) | 1.59569e9 | + | 5.29242e8i | 1.62476 | + | 0.538884i | ||||
\(995\) | 1.68191e9i | 1.70740i | ||||||||
\(996\) | −2.04505e8 | + | 8.80814e7i | −0.206978 | + | 0.0891469i | ||||
\(997\) | −5.05028e8 | + | 8.74734e8i | −0.509600 | + | 0.882654i | 0.490338 | + | 0.871532i | \(0.336873\pi\) |
−0.999938 | + | 0.0111212i | \(0.996460\pi\) | |||||||
\(998\) | −4.06888e8 | + | 1.22679e9i | −0.409339 | + | 1.23418i | ||||
\(999\) | − | 8.39747e7i | − | 0.0842271i |
(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 | 76.7.g.a.7.14 | ✓ | 116 | |
4.3 | odd | 2 | inner | 76.7.g.a.7.52 | yes | 116 | |
19.11 | even | 3 | inner | 76.7.g.a.11.52 | yes | 116 | |
76.11 | odd | 6 | inner | 76.7.g.a.11.14 | yes | 116 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.7.g.a.7.14 | ✓ | 116 | 1.1 | even | 1 | trivial | |
76.7.g.a.7.52 | yes | 116 | 4.3 | odd | 2 | inner | |
76.7.g.a.11.14 | yes | 116 | 76.11 | odd | 6 | inner | |
76.7.g.a.11.52 | yes | 116 | 19.11 | even | 3 | inner |