Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,7,Mod(7,69)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(69, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 19]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.7");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.f (of order \(22\), degree \(10\), 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: | \(15.8737317698\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 7.12 | ||
Character | \(\chi\) | \(=\) | 69.7 |
Dual form | 69.7.f.a.10.12 |
$q$-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 \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{19}{22}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0241383 | − | 0.0278571i | 0.00301729 | − | 0.00348213i | −0.754239 | − | 0.656600i | \(-0.771994\pi\) |
0.757256 | + | 0.653118i | \(0.226539\pi\) | |||||||
\(3\) | 13.1138 | − | 8.42776i | 0.485698 | − | 0.312139i | ||||
\(4\) | 9.10796 | + | 63.3472i | 0.142312 | + | 0.989800i | ||||
\(5\) | −89.8556 | + | 41.0357i | −0.718845 | + | 0.328286i | −0.741033 | − | 0.671468i | \(-0.765664\pi\) |
0.0221883 | + | 0.999754i | \(0.492937\pi\) | |||||||
\(6\) | 0.0817732 | − | 0.568745i | 0.000378579 | − | 0.00263308i | ||||
\(7\) | −160.665 | − | 547.174i | −0.468410 | − | 1.59526i | −0.767510 | − | 0.641037i | \(-0.778505\pi\) |
0.299100 | − | 0.954222i | \(-0.403314\pi\) | |||||||
\(8\) | 3.96908 | + | 2.55077i | 0.00775211 | + | 0.00498198i | ||||
\(9\) | 100.946 | − | 221.041i | 0.138472 | − | 0.303211i | ||||
\(10\) | −1.02583 | + | 3.49365i | −0.00102583 | + | 0.00349365i | ||||
\(11\) | 1314.41 | − | 1138.94i | 0.987537 | − | 0.855706i | −0.00199812 | − | 0.999998i | \(-0.500636\pi\) |
0.989535 | + | 0.144292i | \(0.0460906\pi\) | |||||||
\(12\) | 653.315 | + | 753.966i | 0.378076 | + | 0.436323i | ||||
\(13\) | 1524.28 | + | 447.568i | 0.693799 | + | 0.203718i | 0.609574 | − | 0.792729i | \(-0.291340\pi\) |
0.0842251 | + | 0.996447i | \(0.473159\pi\) | |||||||
\(14\) | −19.1208 | − | 8.73219i | −0.00696823 | − | 0.00318228i | ||||
\(15\) | −832.514 | + | 1295.42i | −0.246671 | + | 0.383827i | ||||
\(16\) | −3929.83 | + | 1153.90i | −0.959432 | + | 0.281715i | ||||
\(17\) | 7185.39 | + | 1033.10i | 1.46253 | + | 0.210279i | 0.827175 | − | 0.561945i | \(-0.189947\pi\) |
0.635350 | + | 0.772224i | \(0.280856\pi\) | |||||||
\(18\) | −3.72088 | − | 8.14759i | −0.000638011 | − | 0.00139705i | ||||
\(19\) | 10098.2 | − | 1451.91i | 1.47226 | − | 0.211679i | 0.640991 | − | 0.767548i | \(-0.278523\pi\) |
0.831270 | + | 0.555869i | \(0.187614\pi\) | |||||||
\(20\) | −3417.90 | − | 5318.35i | −0.427237 | − | 0.664794i | ||||
\(21\) | −6718.38 | − | 5821.51i | −0.725448 | − | 0.628605i | ||||
\(22\) | − | 64.1078i | − | 0.00602064i | ||||||
\(23\) | −8171.21 | − | 9014.84i | −0.671587 | − | 0.740925i | ||||
\(24\) | 73.5472 | 0.00532025 | ||||||||
\(25\) | −3842.09 | + | 4434.01i | −0.245894 | + | 0.283777i | ||||
\(26\) | 49.2614 | − | 31.6584i | 0.00280276 | − | 0.00180123i | ||||
\(27\) | −539.088 | − | 3749.44i | −0.0273885 | − | 0.190491i | ||||
\(28\) | 33198.6 | − | 15161.3i | 1.51233 | − | 0.690657i | ||||
\(29\) | 4730.11 | − | 32898.6i | 0.193944 | − | 1.34891i | −0.627496 | − | 0.778619i | \(-0.715920\pi\) |
0.821441 | − | 0.570294i | \(-0.193171\pi\) | |||||||
\(30\) | 15.9911 | + | 54.4605i | 0.000592261 | + | 0.00201706i | ||||
\(31\) | 34487.9 | + | 22164.0i | 1.15766 | + | 0.743983i | 0.971150 | − | 0.238470i | \(-0.0766458\pi\) |
0.186511 | + | 0.982453i | \(0.440282\pi\) | |||||||
\(32\) | −188.152 | + | 411.995i | −0.00574194 | + | 0.0125731i | ||||
\(33\) | 7638.25 | − | 26013.5i | 0.212545 | − | 0.723863i | ||||
\(34\) | 202.222 | − | 175.226i | 0.00514508 | − | 0.00445823i | ||||
\(35\) | 36890.3 | + | 42573.6i | 0.860415 | + | 0.992971i | ||||
\(36\) | 14921.7 | + | 4381.41i | 0.319824 | + | 0.0939089i | ||||
\(37\) | −18992.9 | − | 8673.77i | −0.374961 | − | 0.171239i | 0.219015 | − | 0.975721i | \(-0.429715\pi\) |
−0.593976 | + | 0.804482i | \(0.702443\pi\) | |||||||
\(38\) | 203.308 | − | 316.354i | 0.00370514 | − | 0.00576531i | ||||
\(39\) | 23761.1 | − | 6976.90i | 0.400565 | − | 0.117617i | ||||
\(40\) | −461.317 | − | 66.3273i | −0.00720807 | − | 0.00103636i | ||||
\(41\) | −21125.9 | − | 46259.2i | −0.306523 | − | 0.671192i | 0.692200 | − | 0.721705i | \(-0.256641\pi\) |
−0.998723 | + | 0.0505136i | \(0.983914\pi\) | |||||||
\(42\) | −324.340 | + | 46.6331i | −0.00437777 | + | 0.000629428i | ||||
\(43\) | −66394.5 | − | 103312.i | −0.835077 | − | 1.29941i | −0.951949 | − | 0.306258i | \(-0.900923\pi\) |
0.116872 | − | 0.993147i | \(-0.462713\pi\) | |||||||
\(44\) | 84120.6 | + | 72890.9i | 0.987516 | + | 0.855688i | ||||
\(45\) | 24004.1i | 0.263420i | ||||||||
\(46\) | −448.366 | + | 10.0231i | −0.00460637 | + | 0.000102974i | ||||
\(47\) | −11413.5 | −0.109933 | −0.0549664 | − | 0.998488i | \(-0.517505\pi\) | ||||
−0.0549664 | + | 0.998488i | \(0.517505\pi\) | |||||||
\(48\) | −41810.4 | + | 48251.8i | −0.378060 | + | 0.436304i | ||||
\(49\) | −174613. | + | 112217.i | −1.48419 | + | 0.953830i | ||||
\(50\) | 30.7770 | + | 214.059i | 0.000246216 | + | 0.00171247i | ||||
\(51\) | 102935. | − | 47008.7i | 0.775982 | − | 0.354379i | ||||
\(52\) | −14469.2 | + | 100635.i | −0.102904 | + | 0.715714i | ||||
\(53\) | −37971.9 | − | 129320.i | −0.255055 | − | 0.868639i | −0.983094 | − | 0.183103i | \(-0.941386\pi\) |
0.728038 | − | 0.685536i | \(-0.240432\pi\) | |||||||
\(54\) | −117.461 | − | 75.4876i | −0.000745955 | − | 0.000479396i | ||||
\(55\) | −71369.9 | + | 156278.i | −0.428970 | + | 0.939314i | ||||
\(56\) | 758.024 | − | 2581.59i | 0.00431637 | − | 0.0147002i | ||||
\(57\) | 120190. | − | 104146.i | 0.649001 | − | 0.562363i | ||||
\(58\) | −802.283 | − | 925.884i | −0.00411191 | − | 0.00474540i | ||||
\(59\) | −123696. | − | 36320.4i | −0.602282 | − | 0.176846i | −0.0336440 | − | 0.999434i | \(-0.510711\pi\) |
−0.568638 | + | 0.822588i | \(0.692529\pi\) | |||||||
\(60\) | −89643.6 | − | 40938.9i | −0.415017 | − | 0.189532i | ||||
\(61\) | −103388. | + | 160875.i | −0.455492 | + | 0.708759i | −0.990715 | − | 0.135952i | \(-0.956591\pi\) |
0.535224 | + | 0.844710i | \(0.320227\pi\) | |||||||
\(62\) | 1449.90 | − | 425.730i | 0.00608364 | − | 0.00178632i | ||||
\(63\) | −137166. | − | 19721.5i | −0.548561 | − | 0.0788711i | ||||
\(64\) | −108885. | − | 238424.i | −0.415362 | − | 0.909516i | ||||
\(65\) | −155331. | + | 22333.3i | −0.565612 | + | 0.0813227i | ||||
\(66\) | −540.285 | − | 840.700i | −0.00187928 | − | 0.00292421i | ||||
\(67\) | 326009. | + | 282489.i | 1.08394 | + | 0.939240i | 0.998369 | − | 0.0570922i | \(-0.0181829\pi\) |
0.0855717 | + | 0.996332i | \(0.472728\pi\) | |||||||
\(68\) | 464584.i | 1.47753i | ||||||||
\(69\) | −183131. | − | 49354.3i | −0.557460 | − | 0.150237i | ||||
\(70\) | 2076.44 | 0.00605377 | ||||||||
\(71\) | 323134. | − | 372917.i | 0.902834 | − | 1.04193i | −0.0960815 | − | 0.995373i | \(-0.530631\pi\) |
0.998916 | − | 0.0465529i | \(-0.0148236\pi\) | |||||||
\(72\) | 964.486 | − | 619.838i | 0.00258404 | − | 0.00166066i | ||||
\(73\) | 70952.4 | + | 493485.i | 0.182389 | + | 1.26854i | 0.851093 | + | 0.525014i | \(0.175940\pi\) |
−0.668705 | + | 0.743528i | \(0.733151\pi\) | |||||||
\(74\) | −700.082 | + | 319.717i | −0.00172764 | + | 0.000788987i | ||||
\(75\) | −13015.8 | + | 90527.2i | −0.0308524 | + | 0.214583i | ||||
\(76\) | 183949. | + | 626472.i | 0.419040 | + | 1.42712i | ||||
\(77\) | −834380. | − | 536223.i | −1.82764 | − | 1.17456i | ||||
\(78\) | 379.197 | − | 830.326i | 0.000799063 | − | 0.00174970i | ||||
\(79\) | −145534. | + | 495643.i | −0.295177 | + | 1.00528i | 0.669711 | + | 0.742622i | \(0.266418\pi\) |
−0.964889 | + | 0.262660i | \(0.915400\pi\) | |||||||
\(80\) | 305766. | − | 264948.i | 0.597200 | − | 0.517477i | ||||
\(81\) | −38668.9 | − | 44626.3i | −0.0727623 | − | 0.0839722i | ||||
\(82\) | −1798.59 | − | 528.113i | −0.00326205 | − | 0.000957823i | ||||
\(83\) | 793080. | + | 362188.i | 1.38702 | + | 0.633431i | 0.962324 | − | 0.271905i | \(-0.0876536\pi\) |
0.424696 | + | 0.905336i | \(0.360381\pi\) | |||||||
\(84\) | 307586. | − | 478613.i | 0.518953 | − | 0.807507i | ||||
\(85\) | −688042. | + | 202027.i | −1.12036 | + | 0.328968i | ||||
\(86\) | −4480.61 | − | 644.215i | −0.00704437 | − | 0.00101283i | ||||
\(87\) | −215232. | − | 471292.i | −0.326850 | − | 0.715702i | ||||
\(88\) | 8122.19 | − | 1167.79i | 0.0119186 | − | 0.00171364i | ||||
\(89\) | −306505. | − | 476930.i | −0.434777 | − | 0.676527i | 0.552861 | − | 0.833273i | \(-0.313536\pi\) |
−0.987639 | + | 0.156746i | \(0.949899\pi\) | |||||||
\(90\) | 668.684 | + | 579.418i | 0.000917263 | + | 0.000794812i | ||||
\(91\) | − | 905953.i | − | 1.20221i | ||||||
\(92\) | 496642. | − | 599730.i | 0.637793 | − | 0.770180i | ||||
\(93\) | 639061. | 0.794500 | ||||||||
\(94\) | −275.503 | + | 317.948i | −0.000331698 | + | 0.000382800i | ||||
\(95\) | −847804. | + | 544850.i | −0.988837 | + | 0.635487i | ||||
\(96\) | 1004.80 | + | 6988.54i | 0.00113571 | + | 0.00789901i | ||||
\(97\) | 898080. | − | 410139.i | 0.984011 | − | 0.449383i | 0.142601 | − | 0.989780i | \(-0.454453\pi\) |
0.841410 | + | 0.540397i | \(0.181726\pi\) | |||||||
\(98\) | −1088.82 | + | 7572.94i | −0.00115686 | + | 0.00804612i | ||||
\(99\) | −119068. | − | 405510.i | −0.122713 | − | 0.417923i | ||||
\(100\) | −315876. | − | 203001.i | −0.315876 | − | 0.203001i | ||||
\(101\) | −274360. | + | 600765.i | −0.266291 | + | 0.583096i | −0.994789 | − | 0.101951i | \(-0.967491\pi\) |
0.728498 | + | 0.685048i | \(0.240219\pi\) | |||||||
\(102\) | 1175.14 | − | 4002.17i | 0.00110736 | − | 0.00377133i | ||||
\(103\) | −145745. | + | 126289.i | −0.133378 | + | 0.115572i | −0.718995 | − | 0.695015i | \(-0.755398\pi\) |
0.585617 | + | 0.810588i | \(0.300852\pi\) | |||||||
\(104\) | 4908.33 | + | 5664.52i | 0.00436349 | + | 0.00503574i | ||||
\(105\) | 842574. | + | 247402.i | 0.727847 | + | 0.213715i | ||||
\(106\) | −4519.06 | − | 2063.79i | −0.00379429 | − | 0.00173280i | ||||
\(107\) | 537337. | − | 836113.i | 0.438627 | − | 0.682517i | −0.549614 | − | 0.835419i | \(-0.685225\pi\) |
0.988241 | + | 0.152901i | \(0.0488617\pi\) | |||||||
\(108\) | 232607. | − | 68299.4i | 0.184651 | − | 0.0542183i | ||||
\(109\) | −1.48507e6 | − | 213521.i | −1.14675 | − | 0.164878i | −0.457369 | − | 0.889277i | \(-0.651208\pi\) |
−0.689381 | + | 0.724399i | \(0.742117\pi\) | |||||||
\(110\) | 2630.71 | + | 5760.45i | 0.00197649 | + | 0.00432791i | ||||
\(111\) | −322170. | + | 46321.1i | −0.235568 | + | 0.0338696i | ||||
\(112\) | 1.26277e6 | + | 1.96491e6i | 0.898815 | + | 1.39858i | ||||
\(113\) | 1.59816e6 | + | 1.38482e6i | 1.10761 | + | 0.959747i | 0.999409 | − | 0.0343827i | \(-0.0109465\pi\) |
0.108198 | + | 0.994129i | \(0.465492\pi\) | |||||||
\(114\) | − | 5862.05i | − | 0.00395672i | ||||||
\(115\) | 1.10416e6 | + | 474723.i | 0.726002 | + | 0.312138i | ||||
\(116\) | 2.12712e6 | 1.36276 | ||||||||
\(117\) | 252800. | − | 291747.i | 0.157841 | − | 0.182158i | ||||
\(118\) | −3997.59 | + | 2569.10i | −0.00243306 | + | 0.00156363i | ||||
\(119\) | −589151. | − | 4.09764e6i | −0.349612 | − | 2.43160i | ||||
\(120\) | −6608.63 | + | 3018.06i | −0.00382444 | + | 0.00174656i | ||||
\(121\) | 178365. | − | 1.24055e6i | 0.100682 | − | 0.700261i | ||||
\(122\) | 1985.89 | + | 6763.32i | 0.00109364 | + | 0.00372461i | ||||
\(123\) | −666903. | − | 428592.i | −0.358383 | − | 0.230319i | ||||
\(124\) | −1.08991e6 | + | 2.38658e6i | −0.571646 | + | 1.25173i | ||||
\(125\) | 598128. | − | 2.03704e6i | 0.306242 | − | 1.04296i | ||||
\(126\) | −3860.33 | + | 3345.00i | −0.00192980 | + | 0.00167219i | ||||
\(127\) | 1.26168e6 | + | 1.45606e6i | 0.615942 | + | 0.710835i | 0.974931 | − | 0.222507i | \(-0.0714240\pi\) |
−0.358989 | + | 0.933342i | \(0.616879\pi\) | |||||||
\(128\) | −37083.1 | − | 10888.6i | −0.0176826 | − | 0.00519208i | ||||
\(129\) | −1.74137e6 | − | 795259.i | −0.811190 | − | 0.370458i | ||||
\(130\) | −3127.29 | + | 4866.16i | −0.00142344 | + | 0.00221491i | ||||
\(131\) | −1.01817e6 | + | 298961.i | −0.452903 | + | 0.132984i | −0.500225 | − | 0.865895i | \(-0.666749\pi\) |
0.0473223 | + | 0.998880i | \(0.484931\pi\) | |||||||
\(132\) | 1.71745e6 | + | 246932.i | 0.746728 | + | 0.107363i | ||||
\(133\) | −2.41688e6 | − | 5.29222e6i | −1.02731 | − | 2.24948i | ||||
\(134\) | 15738.6 | − | 2262.87i | 0.00654112 | − | 0.000940470i | ||||
\(135\) | 202301. | + | 314786.i | 0.0822236 | + | 0.127942i | ||||
\(136\) | 25884.2 | + | 22428.7i | 0.0102900 | + | 0.00891637i | ||||
\(137\) | 2.55809e6i | 0.994841i | 0.867510 | + | 0.497420i | \(0.165719\pi\) | ||||
−0.867510 | + | 0.497420i | \(0.834281\pi\) | |||||||
\(138\) | −5795.33 | + | 3910.16i | −0.00220516 | + | 0.00148784i | ||||
\(139\) | 98689.5 | 0.0367474 | 0.0183737 | − | 0.999831i | \(-0.494151\pi\) | ||||
0.0183737 | + | 0.999831i | \(0.494151\pi\) | |||||||
\(140\) | −2.36093e6 | + | 2.72466e6i | −0.860396 | + | 0.992950i | ||||
\(141\) | −149675. | + | 96190.6i | −0.0533941 | + | 0.0343143i | ||||
\(142\) | −2588.46 | − | 18003.1i | −0.000904017 | − | 0.00628758i | ||||
\(143\) | 2.51328e6 | − | 1.14778e6i | 0.859475 | − | 0.392509i | ||||
\(144\) | −141641. | + | 985134.i | −0.0474353 | + | 0.329919i | ||||
\(145\) | 924992. | + | 3.15023e6i | 0.303413 | + | 1.03333i | ||||
\(146\) | 15459.7 | + | 9935.35i | 0.00496755 | + | 0.00319245i | ||||
\(147\) | −1.34411e6 | + | 2.94320e6i | −0.423139 | + | 0.926546i | ||||
\(148\) | 376473. | − | 1.28215e6i | 0.116131 | − | 0.395506i | ||||
\(149\) | −3.55225e6 | + | 3.07805e6i | −1.07385 | + | 0.930500i | −0.997780 | − | 0.0666022i | \(-0.978784\pi\) |
−0.0760745 | + | 0.997102i | \(0.524239\pi\) | |||||||
\(150\) | 2207.64 | + | 2547.75i | 0.000654116 | + | 0.000754890i | ||||
\(151\) | −2.64844e6 | − | 777653.i | −0.769237 | − | 0.225868i | −0.126512 | − | 0.991965i | \(-0.540378\pi\) |
−0.642725 | + | 0.766097i | \(0.722196\pi\) | |||||||
\(152\) | 43784.2 | + | 19995.6i | 0.0124677 | + | 0.00569381i | ||||
\(153\) | 953693. | − | 1.48397e6i | 0.266277 | − | 0.414336i | ||||
\(154\) | −35078.1 | + | 10299.9i | −0.00960448 | + | 0.00282013i | ||||
\(155\) | −4.00844e6 | − | 576327.i | −1.07642 | − | 0.154765i | ||||
\(156\) | 658383. | + | 1.44166e6i | 0.173422 | + | 0.379741i | ||||
\(157\) | −1.74835e6 | + | 251375.i | −0.451784 | + | 0.0649567i | −0.364451 | − | 0.931223i | \(-0.618743\pi\) |
−0.0873325 | + | 0.996179i | \(0.527834\pi\) | |||||||
\(158\) | 10294.2 | + | 16018.1i | 0.00260989 | + | 0.00406107i | ||||
\(159\) | −1.58784e6 | − | 1.37587e6i | −0.395016 | − | 0.342283i | ||||
\(160\) | − | 44741.0i | − | 0.0109231i | ||||||
\(161\) | −3.61986e6 | + | 5.91943e6i | −0.867389 | + | 1.41841i | ||||
\(162\) | −2176.56 | −0.000511947 | ||||||||
\(163\) | −1.56127e6 | + | 1.80180e6i | −0.360508 | + | 0.416048i | −0.906810 | − | 0.421540i | \(-0.861490\pi\) |
0.546302 | + | 0.837588i | \(0.316035\pi\) | |||||||
\(164\) | 2.73798e6 | − | 1.75959e6i | 0.620724 | − | 0.398915i | ||||
\(165\) | 381142. | + | 2.65090e6i | 0.0848466 | + | 0.590121i | ||||
\(166\) | 29233.1 | − | 13350.3i | 0.00639073 | − | 0.00291855i | ||||
\(167\) | 663192. | − | 4.61260e6i | 0.142393 | − | 0.990369i | −0.785856 | − | 0.618410i | \(-0.787777\pi\) |
0.928249 | − | 0.371959i | \(-0.121314\pi\) | |||||||
\(168\) | −11816.4 | − | 40243.1i | −0.00249206 | − | 0.00848718i | ||||
\(169\) | −1.93747e6 | − | 1.24513e6i | −0.401397 | − | 0.257962i | ||||
\(170\) | −10980.3 | + | 24043.4i | −0.00223494 | + | 0.00489383i | ||||
\(171\) | 698445. | − | 2.37869e6i | 0.139683 | − | 0.475717i | ||||
\(172\) | 5.93980e6 | − | 5.14686e6i | 1.16731 | − | 1.01148i | ||||
\(173\) | 2.70114e6 | + | 3.11728e6i | 0.521685 | + | 0.602057i | 0.954052 | − | 0.299641i | \(-0.0968668\pi\) |
−0.432367 | + | 0.901698i | \(0.642321\pi\) | |||||||
\(174\) | −18324.1 | − | 5380.45i | −0.00347837 | − | 0.00102134i | ||||
\(175\) | 3.04346e6 | + | 1.38990e6i | 0.567876 | + | 0.259340i | ||||
\(176\) | −3.85119e6 | + | 5.99256e6i | −0.706410 | + | 1.09919i | ||||
\(177\) | −1.92823e6 | + | 566180.i | −0.347728 | + | 0.102102i | ||||
\(178\) | −20684.4 | − | 2973.96i | −0.00366760 | − | 0.000527322i | ||||
\(179\) | 1.27642e6 | + | 2.79498e6i | 0.222554 | + | 0.487326i | 0.987667 | − | 0.156571i | \(-0.0500440\pi\) |
−0.765113 | + | 0.643897i | \(0.777317\pi\) | |||||||
\(180\) | −1.52059e6 | + | 218629.i | −0.260733 | + | 0.0374877i | ||||
\(181\) | 1.73093e6 | + | 2.69339e6i | 0.291907 | + | 0.454216i | 0.955972 | − | 0.293459i | \(-0.0948064\pi\) |
−0.664065 | + | 0.747675i | \(0.731170\pi\) | |||||||
\(182\) | −25237.2 | − | 21868.1i | −0.00418627 | − | 0.00362742i | ||||
\(183\) | 2.98101e6i | 0.486419i | ||||||||
\(184\) | −9437.36 | − | 56623.5i | −0.00151495 | − | 0.00908956i | ||||
\(185\) | 2.06255e6 | 0.325754 | ||||||||
\(186\) | 15425.8 | − | 17802.4i | 0.00239723 | − | 0.00276655i | ||||
\(187\) | 1.06212e7 | − | 6.82583e6i | 1.62424 | − | 1.04383i | ||||
\(188\) | −103954. | − | 723016.i | −0.0156447 | − | 0.108811i | ||||
\(189\) | −1.96498e6 | + | 897377.i | −0.291054 | + | 0.132920i | ||||
\(190\) | −5286.60 | + | 36769.1i | −0.000770753 | + | 0.00536071i | ||||
\(191\) | −1.14668e6 | − | 3.90524e6i | −0.164567 | − | 0.560465i | −0.999942 | − | 0.0107835i | \(-0.996567\pi\) |
0.835375 | − | 0.549681i | \(-0.185251\pi\) | |||||||
\(192\) | −3.43728e6 | − | 2.20900e6i | −0.485636 | − | 0.312099i | ||||
\(193\) | 2.82900e6 | − | 6.19465e6i | 0.393515 | − | 0.861677i | −0.604372 | − | 0.796702i | \(-0.706576\pi\) |
0.997887 | − | 0.0649750i | \(-0.0206968\pi\) | |||||||
\(194\) | 10252.8 | − | 34917.9i | 0.00140423 | − | 0.00478237i | ||||
\(195\) | −1.84877e6 | + | 1.60197e6i | −0.249333 | + | 0.216048i | ||||
\(196\) | −8.69901e6 | − | 1.00392e7i | −1.15532 | − | 1.33331i | ||||
\(197\) | −2.19944e6 | − | 645812.i | −0.287682 | − | 0.0844710i | 0.134708 | − | 0.990885i | \(-0.456990\pi\) |
−0.422390 | + | 0.906414i | \(0.638809\pi\) | |||||||
\(198\) | −14170.4 | − | 6471.42i | −0.00182552 | − | 0.000833689i | ||||
\(199\) | −580676. | + | 903549.i | −0.0736842 | + | 0.114655i | −0.876140 | − | 0.482057i | \(-0.839890\pi\) |
0.802456 | + | 0.596712i | \(0.203526\pi\) | |||||||
\(200\) | −26559.7 | + | 7798.64i | −0.00331996 | + | 0.000974830i | ||||
\(201\) | 6.65598e6 | + | 956985.i | 0.819641 | + | 0.117847i | ||||
\(202\) | 10113.0 | + | 22144.3i | 0.00122694 | + | 0.00268663i | ||||
\(203\) | −1.87612e7 | + | 2.69746e6i | −2.24271 | + | 0.322453i | ||||
\(204\) | 3.91540e6 | + | 6.09248e6i | 0.461196 | + | 0.717635i | ||||
\(205\) | 3.79656e6 | + | 3.28974e6i | 0.440685 | + | 0.381856i | ||||
\(206\) | 7108.44i | 0.000813153i | ||||||||
\(207\) | −2.81749e6 | + | 896157.i | −0.317652 | + | 0.101035i | ||||
\(208\) | −6.50661e6 | −0.723044 | ||||||||
\(209\) | 1.16196e7 | − | 1.34097e7i | 1.27278 | − | 1.46886i | ||||
\(210\) | 27230.2 | − | 17499.8i | 0.00294031 | − | 0.00188962i | ||||
\(211\) | 1.23071e6 | + | 8.55974e6i | 0.131011 | + | 0.911199i | 0.944241 | + | 0.329257i | \(0.106798\pi\) |
−0.813230 | + | 0.581943i | \(0.802293\pi\) | |||||||
\(212\) | 7.84624e6 | − | 3.58326e6i | 0.823482 | − | 0.376072i | ||||
\(213\) | 1.09468e6 | − | 7.61367e6i | 0.113279 | − | 0.787871i | ||||
\(214\) | −10321.3 | − | 35151.0i | −0.00105315 | − | 0.00358671i | ||||
\(215\) | 1.02054e7 | + | 6.55860e6i | 1.02687 | + | 0.659927i | ||||
\(216\) | 7424.28 | − | 16256.9i | 0.000736704 | − | 0.00161316i | ||||
\(217\) | 6.58658e6 | − | 2.24318e7i | 0.644586 | − | 2.19526i | ||||
\(218\) | −41795.2 | + | 36215.8i | −0.00403420 | + | 0.00349565i | ||||
\(219\) | 5.08943e6 | + | 5.87351e6i | 0.484548 | + | 0.559198i | ||||
\(220\) | −1.05498e7 | − | 3.09771e6i | −0.990781 | − | 0.290919i | ||||
\(221\) | 1.04901e7 | + | 4.79069e6i | 0.971862 | + | 0.443834i | ||||
\(222\) | −6486.27 | + | 10092.8i | −0.000592838 | + | 0.000922474i | ||||
\(223\) | 4.44564e6 | − | 1.30536e6i | 0.400885 | − | 0.117710i | −0.0750739 | − | 0.997178i | \(-0.523919\pi\) |
0.475959 | + | 0.879468i | \(0.342101\pi\) | |||||||
\(224\) | 255662. | + | 36758.7i | 0.0227469 | + | 0.00327051i | ||||
\(225\) | 592253. | + | 1.29685e6i | 0.0519948 | + | 0.113853i | ||||
\(226\) | 77153.8 | − | 11093.0i | 0.00668393 | − | 0.000961004i | ||||
\(227\) | 1.09375e7 | + | 1.70191e7i | 0.935062 | + | 1.45498i | 0.889979 | + | 0.456001i | \(0.150719\pi\) |
0.0450827 | + | 0.998983i | \(0.485645\pi\) | |||||||
\(228\) | 7.69203e6 | + | 6.66518e6i | 0.648987 | + | 0.562351i | ||||
\(229\) | − | 5.10081e6i | − | 0.424750i | −0.977188 | − | 0.212375i | \(-0.931880\pi\) | ||
0.977188 | − | 0.212375i | \(-0.0681198\pi\) | |||||||
\(230\) | 39876.9 | − | 19299.6i | 0.00327746 | − | 0.00158623i | ||||
\(231\) | −1.54611e7 | −1.25431 | ||||||||
\(232\) | 102691. | − | 118512.i | 0.00822373 | − | 0.00949069i | ||||
\(233\) | −1.37716e7 | + | 8.85050e6i | −1.08872 | + | 0.699681i | −0.956557 | − | 0.291547i | \(-0.905830\pi\) |
−0.132168 | + | 0.991227i | \(0.542194\pi\) | |||||||
\(234\) | −2025.05 | − | 14084.5i | −0.000158048 | − | 0.00109925i | ||||
\(235\) | 1.02557e6 | − | 468363.i | 0.0790246 | − | 0.0360893i | ||||
\(236\) | 1.17418e6 | − | 8.16661e6i | 0.0893303 | − | 0.621306i | ||||
\(237\) | 2.26865e6 | + | 7.72631e6i | 0.170421 | + | 0.580399i | ||||
\(238\) | −128369. | − | 82497.9i | −0.00952204 | − | 0.00611944i | ||||
\(239\) | 4.24713e6 | − | 9.29991e6i | 0.311101 | − | 0.681217i | −0.687904 | − | 0.725801i | \(-0.741469\pi\) |
0.999006 | + | 0.0445847i | \(0.0141965\pi\) | |||||||
\(240\) | 1.77686e6 | − | 6.05141e6i | 0.128534 | − | 0.437747i | ||||
\(241\) | −939625. | + | 814190.i | −0.0671280 | + | 0.0581667i | −0.687779 | − | 0.725921i | \(-0.741414\pi\) |
0.620651 | + | 0.784087i | \(0.286869\pi\) | |||||||
\(242\) | −30252.8 | − | 34913.6i | −0.00213461 | − | 0.00246347i | ||||
\(243\) | −883197. | − | 259330.i | −0.0615515 | − | 0.0180732i | ||||
\(244\) | −1.11326e7 | − | 5.08410e6i | −0.766352 | − | 0.349981i | ||||
\(245\) | 1.10851e7 | − | 1.72487e7i | 0.753773 | − | 1.17289i | ||||
\(246\) | −28037.2 | + | 8232.47i | −0.00188334 | + | 0.000553000i | ||||
\(247\) | 1.60424e7 | + | 2.30654e6i | 1.06458 | + | 0.153063i | ||||
\(248\) | 80349.7 | + | 175941.i | 0.00526780 | + | 0.0115349i | ||||
\(249\) | 1.34528e7 | − | 1.93422e6i | 0.871392 | − | 0.125287i | ||||
\(250\) | −42308.1 | − | 65832.7i | −0.00270772 | − | 0.00421329i | ||||
\(251\) | −1.01477e7 | − | 8.79307e6i | −0.641724 | − | 0.556057i | 0.272049 | − | 0.962284i | \(-0.412299\pi\) |
−0.913772 | + | 0.406227i | \(0.866844\pi\) | |||||||
\(252\) | − | 8.86871e6i | − | 0.554190i | ||||||
\(253\) | −2.10077e7 | − | 2.54266e6i | −1.29723 | − | 0.157010i | ||||
\(254\) | 71016.5 | 0.00433369 | ||||||||
\(255\) | −7.32023e6 | + | 8.44800e6i | −0.441473 | + | 0.509487i | ||||
\(256\) | 1.41109e7 | − | 9.06852e6i | 0.841075 | − | 0.540526i | ||||
\(257\) | −1.14271e6 | − | 7.94770e6i | −0.0673187 | − | 0.468212i | −0.995398 | − | 0.0958286i | \(-0.969450\pi\) |
0.928079 | − | 0.372383i | \(-0.121459\pi\) | |||||||
\(258\) | −64187.3 | + | 29313.4i | −0.00373758 | + | 0.00170689i | ||||
\(259\) | −1.69457e6 | + | 1.17860e7i | −0.0975348 | + | 0.678370i | ||||
\(260\) | −2.82950e6 | − | 9.63639e6i | −0.160987 | − | 0.548270i | ||||
\(261\) | −6.79445e6 | − | 4.36653e6i | −0.382149 | − | 0.245592i | ||||
\(262\) | −16248.6 | + | 35579.5i | −0.000903468 | + | 0.00197832i | ||||
\(263\) | −8.83695e6 | + | 3.00959e7i | −0.485775 | + | 1.65440i | 0.243290 | + | 0.969954i | \(0.421773\pi\) |
−0.729065 | + | 0.684444i | \(0.760045\pi\) | |||||||
\(264\) | 96671.3 | − | 83766.1i | 0.00525395 | − | 0.00455257i | ||||
\(265\) | 8.71874e6 | + | 1.00620e7i | 0.468507 | + | 0.540686i | ||||
\(266\) | −205765. | − | 60418.1i | −0.0109327 | − | 0.00321012i | ||||
\(267\) | −8.03891e6 | − | 3.67125e6i | −0.422341 | − | 0.192877i | ||||
\(268\) | −1.49256e7 | + | 2.32247e7i | −0.775402 | + | 1.20655i | ||||
\(269\) | −1.99929e7 | + | 5.87043e6i | −1.02711 | + | 0.301587i | −0.751536 | − | 0.659692i | \(-0.770687\pi\) |
−0.275576 | + | 0.961279i | \(0.588869\pi\) | |||||||
\(270\) | 13652.2 | + | 1962.89i | 0.000693605 | + | 9.97253e-5i | ||||
\(271\) | 6.38498e6 | + | 1.39812e7i | 0.320813 | + | 0.702482i | 0.999489 | − | 0.0319553i | \(-0.0101734\pi\) |
−0.678676 | + | 0.734437i | \(0.737446\pi\) | |||||||
\(272\) | −2.94295e7 | + | 4.23132e6i | −1.46243 | + | 0.210266i | ||||
\(273\) | −7.63515e6 | − | 1.18805e7i | −0.375258 | − | 0.583912i | ||||
\(274\) | 71260.8 | + | 61747.8i | 0.00346417 | + | 0.00300172i | ||||
\(275\) | 1.02040e7i | 0.490653i | ||||||||
\(276\) | 1.45851e6 | − | 1.20503e7i | 0.0693716 | − | 0.573155i | ||||
\(277\) | 3.45698e7 | 1.62652 | 0.813258 | − | 0.581904i | \(-0.197692\pi\) | ||||
0.813258 | + | 0.581904i | \(0.197692\pi\) | |||||||
\(278\) | 2382.20 | − | 2749.20i | 0.000110877 | − | 0.000127959i | ||||
\(279\) | 8.38055e6 | − | 5.38585e6i | 0.385887 | − | 0.247994i | ||||
\(280\) | 37824.7 | + | 263077.i | 0.00172307 | + | 0.0119842i | ||||
\(281\) | 1.04163e6 | − | 475699.i | 0.0469458 | − | 0.0214394i | −0.391804 | − | 0.920049i | \(-0.628149\pi\) |
0.438750 | + | 0.898609i | \(0.355422\pi\) | |||||||
\(282\) | −933.321 | + | 6491.39i | −4.16183e−5 | + | 0.000289461i | ||||
\(283\) | 2.60118e6 | + | 8.85881e6i | 0.114766 | + | 0.390855i | 0.996763 | − | 0.0803992i | \(-0.0256195\pi\) |
−0.881997 | + | 0.471255i | \(0.843801\pi\) | |||||||
\(284\) | 2.65663e7 | + | 1.70732e7i | 1.15978 | + | 0.745347i | ||||
\(285\) | −6.52610e6 | + | 1.42902e7i | −0.281916 | + | 0.617309i | ||||
\(286\) | 28692.6 | − | 97718.1i | 0.00122651 | − | 0.00417712i | ||||
\(287\) | −2.19176e7 | + | 1.89917e7i | −0.927146 | + | 0.803376i | ||||
\(288\) | 72074.5 | + | 83178.4i | 0.00301720 | + | 0.00348203i | ||||
\(289\) | 2.74026e7 | + | 8.04614e6i | 1.13527 | + | 0.333345i | ||||
\(290\) | 110084. | + | 50273.6i | 0.00451367 | + | 0.00206132i | ||||
\(291\) | 8.32073e6 | − | 1.29473e7i | 0.337662 | − | 0.525413i | ||||
\(292\) | −3.06147e7 | + | 8.98927e6i | −1.22965 | + | 0.361057i | ||||
\(293\) | −7.24799e6 | − | 1.04210e6i | −0.288147 | − | 0.0414293i | −0.00327448 | − | 0.999995i | \(-0.501042\pi\) |
−0.284873 | + | 0.958565i | \(0.591951\pi\) | |||||||
\(294\) | 49544.2 | + | 108487.i | 0.00194962 | + | 0.00426908i | ||||
\(295\) | 1.26052e7 | − | 1.81236e6i | 0.491003 | − | 0.0705956i | ||||
\(296\) | −53259.5 | − | 82873.4i | −0.00205363 | − | 0.00319551i | ||||
\(297\) | −4.97899e6 | − | 4.31432e6i | −0.190052 | − | 0.164681i | ||||
\(298\) | 173254.i | 0.00654689i | ||||||||
\(299\) | −8.42043e6 | − | 1.73983e7i | −0.315007 | − | 0.650868i | ||||
\(300\) | −5.85319e6 | −0.216785 | ||||||||
\(301\) | −4.58622e7 | + | 5.29279e7i | −1.68173 | + | 1.94082i | ||||
\(302\) | −85592.0 | + | 55006.7i | −0.00310751 | + | 0.00199708i | ||||
\(303\) | 1.46518e6 | + | 1.01906e7i | 0.0526701 | + | 0.366328i | ||||
\(304\) | −3.80090e7 | + | 1.73581e7i | −1.35290 | + | 0.617849i | ||||
\(305\) | 2.68838e6 | − | 1.86981e7i | 0.0947526 | − | 0.659019i | ||||
\(306\) | −18318.7 | − | 62387.7i | −0.000639337 | − | 0.00217738i | ||||
\(307\) | 5.97600e6 | + | 3.84054e6i | 0.206536 | + | 0.132732i | 0.639820 | − | 0.768525i | \(-0.279009\pi\) |
−0.433284 | + | 0.901257i | \(0.642645\pi\) | |||||||
\(308\) | 2.63688e7 | − | 5.77395e7i | 0.902480 | − | 1.97616i | ||||
\(309\) | −846948. | + | 2.88444e6i | −0.0287066 | + | 0.0977656i | ||||
\(310\) | −112812. | + | 97751.9i | −0.00378677 | + | 0.00328126i | ||||
\(311\) | −1.85942e7 | − | 2.14588e7i | −0.618152 | − | 0.713386i | 0.357203 | − | 0.934027i | \(-0.383730\pi\) |
−0.975355 | + | 0.220641i | \(0.929185\pi\) | |||||||
\(312\) | 112106. | + | 32917.4i | 0.00369119 | + | 0.00108383i | ||||
\(313\) | 4.72730e6 | + | 2.15889e6i | 0.154163 | + | 0.0704039i | 0.491002 | − | 0.871158i | \(-0.336631\pi\) |
−0.336839 | + | 0.941562i | \(0.609358\pi\) | |||||||
\(314\) | −35199.7 | + | 54771.8i | −0.00113697 | + | 0.00176916i | ||||
\(315\) | 1.31344e7 | − | 3.85661e6i | 0.420223 | − | 0.123388i | ||||
\(316\) | −3.27231e7 | − | 4.70487e6i | −1.03704 | − | 0.149103i | ||||
\(317\) | −2.80267e6 | − | 6.13699e6i | −0.0879821 | − | 0.192654i | 0.860526 | − | 0.509406i | \(-0.170135\pi\) |
−0.948508 | + | 0.316752i | \(0.897408\pi\) | |||||||
\(318\) | −76655.4 | + | 11021.4i | −0.00238375 | + | 0.000342732i | ||||
\(319\) | −3.12524e7 | − | 4.86297e7i | −0.962745 | − | 1.49806i | ||||
\(320\) | 1.95678e7 | + | 1.69556e7i | 0.597162 | + | 0.517444i | ||||
\(321\) | − | 1.54932e7i | − | 0.468410i | ||||||
\(322\) | 77520.9 | + | 243724.i | 0.00232194 | + | 0.00730012i | ||||
\(323\) | 7.40597e7 | 2.19773 | ||||||||
\(324\) | 2.47476e6 | − | 2.85602e6i | 0.0727608 | − | 0.0839704i | ||||
\(325\) | −7.84094e6 | + | 5.03906e6i | −0.228411 | + | 0.146791i | ||||
\(326\) | 12506.5 | + | 86984.6i | 0.000360980 | + | 0.00251067i | ||||
\(327\) | −2.12745e7 | + | 9.71575e6i | −0.608439 | + | 0.277865i | ||||
\(328\) | 34146.4 | − | 237494.i | 0.000967663 | − | 0.00673024i | ||||
\(329\) | 1.83375e6 | + | 6.24519e6i | 0.0514936 | + | 0.175371i | ||||
\(330\) | 83046.3 | + | 53370.6i | 0.00231089 | + | 0.00148512i | ||||
\(331\) | −2.20328e7 | + | 4.82451e7i | −0.607555 | + | 1.33036i | 0.316679 | + | 0.948533i | \(0.397432\pi\) |
−0.924234 | + | 0.381827i | \(0.875295\pi\) | |||||||
\(332\) | −1.57202e7 | + | 5.35382e7i | −0.429581 | + | 1.46302i | ||||
\(333\) | −3.83451e6 | + | 3.32262e6i | −0.103843 | + | 0.0899804i | ||||
\(334\) | −112485. | − | 129815.i | −0.00301895 | − | 0.00348406i | ||||
\(335\) | −4.08859e7 | − | 1.20052e7i | −1.08752 | − | 0.319326i | ||||
\(336\) | 3.31196e7 | + | 1.51252e7i | 0.873105 | + | 0.398734i | ||||
\(337\) | 3.04691e7 | − | 4.74109e7i | 0.796105 | − | 1.23876i | −0.171222 | − | 0.985232i | \(-0.554772\pi\) |
0.967327 | − | 0.253531i | \(-0.0815920\pi\) | |||||||
\(338\) | −81452.9 | + | 23916.7i | −0.00210939 | + | 0.000619372i | ||||
\(339\) | 3.26289e7 | + | 4.69133e6i | 0.837537 | + | 0.120420i | ||||
\(340\) | −1.90645e7 | − | 4.17455e7i | −0.485053 | − | 1.06212i | ||||
\(341\) | 7.05748e7 | − | 1.01471e7i | 1.77986 | − | 0.255906i | ||||
\(342\) | −49403.9 | − | 76874.0i | −0.00123505 | − | 0.00192177i | ||||
\(343\) | 3.87516e7 | + | 3.35784e7i | 0.960300 | + | 0.832104i | ||||
\(344\) | − | 579410.i | − | 0.0142335i | ||||||
\(345\) | 1.84806e7 | − | 3.08014e6i | 0.450048 | − | 0.0750090i | ||||
\(346\) | 152039. | 0.00367052 | ||||||||
\(347\) | 2.20587e7 | − | 2.54571e7i | 0.527948 | − | 0.609284i | −0.427655 | − | 0.903942i | \(-0.640660\pi\) |
0.955603 | + | 0.294658i | \(0.0952057\pi\) | |||||||
\(348\) | 2.78947e7 | − | 1.79268e7i | 0.661888 | − | 0.425369i | ||||
\(349\) | 1.90543e6 | + | 1.32525e7i | 0.0448245 | + | 0.311761i | 0.999882 | + | 0.0153418i | \(0.00488363\pi\) |
−0.955058 | + | 0.296420i | \(0.904207\pi\) | |||||||
\(350\) | 112183. | − | 51232.1i | 0.00261650 | − | 0.00119492i | ||||
\(351\) | 856410. | − | 5.95646e6i | 0.0198043 | − | 0.137742i | ||||
\(352\) | 221930. | + | 755826.i | 0.00508849 | + | 0.0173298i | ||||
\(353\) | −1.59594e7 | − | 1.02565e7i | −0.362821 | − | 0.233171i | 0.346510 | − | 0.938046i | \(-0.387367\pi\) |
−0.709331 | + | 0.704875i | \(0.751003\pi\) | |||||||
\(354\) | −30772.1 | + | 67381.5i | −0.000693661 | + | 0.00151890i | ||||
\(355\) | −1.37325e7 | + | 4.67687e7i | −0.306949 | + | 1.04537i | ||||
\(356\) | 2.74206e7 | − | 2.37601e7i | 0.607753 | − | 0.526621i | ||||
\(357\) | −4.22599e7 | − | 4.87706e7i | −0.928804 | − | 1.07190i | ||||
\(358\) | 108671. | + | 31908.6i | 0.00236844 | + | 0.000695437i | ||||
\(359\) | −1.09891e7 | − | 5.01853e6i | −0.237507 | − | 0.108466i | 0.293106 | − | 0.956080i | \(-0.405311\pi\) |
−0.530613 | + | 0.847614i | \(0.678038\pi\) | |||||||
\(360\) | −61229.0 | + | 95274.2i | −0.00131235 | + | 0.00204206i | ||||
\(361\) | 5.47263e7 | − | 1.60691e7i | 1.16325 | − | 0.341562i | ||||
\(362\) | 116812. | + | 16795.0i | 0.00246241 | + | 0.000354041i | ||||
\(363\) | −8.11604e6 | − | 1.77717e7i | −0.169678 | − | 0.371542i | ||||
\(364\) | 5.73896e7 | − | 8.25138e6i | 1.18995 | − | 0.171089i | ||||
\(365\) | −2.66260e7 | − | 4.14308e7i | −0.547553 | − | 0.852010i | ||||
\(366\) | 83042.3 | + | 71956.6i | 0.00169378 | + | 0.00146767i | ||||
\(367\) | − | 2.69869e7i | − | 0.545953i | −0.962021 | − | 0.272976i | \(-0.911992\pi\) | ||
0.962021 | − | 0.272976i | \(-0.0880081\pi\) | |||||||
\(368\) | 4.25137e7 | + | 2.59980e7i | 0.853072 | + | 0.521671i | ||||
\(369\) | −1.23577e7 | −0.245957 | ||||||||
\(370\) | 49786.5 | − | 57456.7i | 0.000982893 | − | 0.00113432i | ||||
\(371\) | −6.46600e7 | + | 4.15544e7i | −1.26623 | + | 0.813759i | ||||
\(372\) | 5.82054e6 | + | 4.04828e7i | 0.113067 | + | 0.786396i | ||||
\(373\) | 4.36519e6 | − | 1.99352e6i | 0.0841157 | − | 0.0384143i | −0.372913 | − | 0.927866i | \(-0.621641\pi\) |
0.457029 | + | 0.889452i | \(0.348914\pi\) | |||||||
\(374\) | 66229.9 | − | 460639.i | 0.00126602 | − | 0.00880534i | ||||
\(375\) | −9.32389e6 | − | 3.17543e7i | −0.176809 | − | 0.602155i | ||||
\(376\) | −45301.3 | − | 29113.3i | −0.000852210 | − | 0.000547682i | ||||
\(377\) | 2.19344e7 | − | 4.80296e7i | 0.409356 | − | 0.896365i | ||||
\(378\) | −22433.0 | + | 76399.8i | −0.000415348 | + | 0.00141454i | ||||
\(379\) | −7.04929e7 | + | 6.10824e7i | −1.29487 | + | 1.12202i | −0.309631 | + | 0.950857i | \(0.600205\pi\) |
−0.985244 | + | 0.171158i | \(0.945249\pi\) | |||||||
\(380\) | −4.22365e7 | − | 4.87435e7i | −0.769728 | − | 0.888314i | ||||
\(381\) | 2.88169e7 | + | 8.46140e6i | 0.521041 | + | 0.152991i | ||||
\(382\) | −136468. | − | 62322.7i | −0.00244816 | − | 0.00111804i | ||||
\(383\) | −8.75347e6 | + | 1.36207e7i | −0.155806 | + | 0.242439i | −0.910377 | − | 0.413779i | \(-0.864209\pi\) |
0.754571 | + | 0.656218i | \(0.227845\pi\) | |||||||
\(384\) | −578068. | + | 169736.i | −0.0102091 | + | 0.00299765i | ||||
\(385\) | 9.69780e7 | + | 1.39433e7i | 1.69938 | + | 0.244334i | ||||
\(386\) | −104277. | − | 228336.i | −0.00181313 | − | 0.00397020i | ||||
\(387\) | −2.95383e7 | + | 4.24697e6i | −0.509628 | + | 0.0732734i | ||||
\(388\) | 3.41609e7 | + | 5.31554e7i | 0.584836 | + | 0.910022i | ||||
\(389\) | 5.42241e7 | + | 4.69855e7i | 0.921179 | + | 0.798206i | 0.979780 | − | 0.200076i | \(-0.0641188\pi\) |
−0.0586018 | + | 0.998281i | \(0.518664\pi\) | |||||||
\(390\) | 90170.1i | 0.00152009i | ||||||||
\(391\) | −4.94000e7 | − | 7.32168e7i | −0.826412 | − | 1.22484i | ||||
\(392\) | −979294. | −0.0162575 | ||||||||
\(393\) | −1.08325e7 | + | 1.25014e7i | −0.178464 | + | 0.205959i | ||||
\(394\) | −71081.0 | + | 45681.0i | −0.00116216 | + | 0.000746873i | ||||
\(395\) | −7.26201e6 | − | 5.05084e7i | −0.117833 | − | 0.819544i | ||||
\(396\) | 2.46035e7 | − | 1.12360e7i | 0.396197 | − | 0.180937i | ||||
\(397\) | 894719. | − | 6.22291e6i | 0.0142993 | − | 0.0994539i | −0.981422 | − | 0.191862i | \(-0.938547\pi\) |
0.995721 | + | 0.0924082i | \(0.0294565\pi\) | |||||||
\(398\) | 11153.7 | + | 37986.1i | 0.000176917 | + | 0.000602525i | ||||
\(399\) | −7.62961e7 | − | 4.90325e7i | −1.20111 | − | 0.771908i | ||||
\(400\) | 9.98236e6 | − | 2.18583e7i | 0.155974 | − | 0.341536i | ||||
\(401\) | −1.16771e7 | + | 3.97684e7i | −0.181092 | + | 0.616744i | 0.818042 | + | 0.575158i | \(0.195059\pi\) |
−0.999135 | + | 0.0415865i | \(0.986759\pi\) | |||||||
\(402\) | 187323. | − | 162316.i | 0.00288345 | − | 0.00249852i | ||||
\(403\) | 4.26492e7 | + | 4.92198e7i | 0.651622 | + | 0.752011i | ||||
\(404\) | −4.05556e7 | − | 1.19082e7i | −0.615045 | − | 0.180594i | ||||
\(405\) | 5.30589e6 | + | 2.42312e6i | 0.0798717 | + | 0.0364762i | ||||
\(406\) | −377721. | + | 587745.i | −0.00564407 | + | 0.00878235i | ||||
\(407\) | −3.48434e7 | + | 1.02310e7i | −0.516818 | + | 0.151751i | ||||
\(408\) | 528465. | + | 75981.8i | 0.00778100 | + | 0.00111874i | ||||
\(409\) | −3.05900e7 | − | 6.69827e7i | −0.447105 | − | 0.979023i | −0.990239 | − | 0.139377i | \(-0.955490\pi\) |
0.543135 | − | 0.839646i | \(-0.317237\pi\) | |||||||
\(410\) | 183285. | − | 26352.4i | 0.00265935 | − | 0.000382356i | ||||
\(411\) | 2.15589e7 | + | 3.35463e7i | 0.310529 | + | 0.483192i | ||||
\(412\) | −9.32750e6 | − | 8.08233e6i | −0.133375 | − | 0.115570i | ||||
\(413\) | 7.35186e7i | 1.04363i | ||||||||
\(414\) | −43045.2 | + | 100119.i | −0.000606629 | + | 0.00141096i | ||||
\(415\) | −8.61254e7 | −1.20500 | ||||||||
\(416\) | −471192. | + | 543784.i | −0.00654512 | + | 0.00755347i | ||||
\(417\) | 1.29420e6 | − | 831731.i | 0.0178481 | − | 0.0114703i | ||||
\(418\) | −93078.6 | − | 647376.i | −0.00127445 | − | 0.00886396i | ||||
\(419\) | 1.44512e7 | − | 6.59965e6i | 0.196455 | − | 0.0897178i | −0.314759 | − | 0.949172i | \(-0.601924\pi\) |
0.511213 | + | 0.859454i | \(0.329196\pi\) | |||||||
\(420\) | −7.99810e6 | + | 5.56280e7i | −0.107954 | + | 0.750837i | ||||
\(421\) | −2.91556e7 | − | 9.92949e7i | −0.390729 | − | 1.33070i | −0.886693 | − | 0.462358i | \(-0.847003\pi\) |
0.495964 | − | 0.868343i | \(-0.334815\pi\) | |||||||
\(422\) | 268156. | + | 172334.i | 0.00356821 | + | 0.00229315i | ||||
\(423\) | −1.15215e6 | + | 2.52286e6i | −0.0152226 | + | 0.0333328i | ||||
\(424\) | 179153. | − | 610140.i | 0.00235032 | − | 0.00800446i | ||||
\(425\) | −3.21877e7 | + | 2.78908e7i | −0.419298 | + | 0.363324i | ||||
\(426\) | −185671. | − | 214276.i | −0.00240168 | − | 0.00277168i | ||||
\(427\) | 1.04637e8 | + | 3.07243e7i | 1.34401 | + | 0.394637i | ||||
\(428\) | 5.78595e7 | + | 2.64235e7i | 0.737978 | + | 0.337023i | ||||
\(429\) | 2.32856e7 | − | 3.62331e7i | 0.294928 | − | 0.458917i | ||||
\(430\) | 429044. | − | 125979.i | 0.00539630 | − | 0.00158450i | ||||
\(431\) | 3.23184e7 | + | 4.64668e6i | 0.403662 | + | 0.0580378i | 0.341156 | − | 0.940007i | \(-0.389182\pi\) |
0.0625059 | + | 0.998045i | \(0.480091\pi\) | |||||||
\(432\) | 6.44501e6 | + | 1.41126e7i | 0.0799416 | + | 0.175048i | ||||
\(433\) | 7.84418e7 | − | 1.12782e7i | 0.966238 | − | 0.138924i | 0.358907 | − | 0.933373i | \(-0.383149\pi\) |
0.607330 | + | 0.794449i | \(0.292240\pi\) | |||||||
\(434\) | −465896. | − | 724948.i | −0.00569928 | − | 0.00886825i | ||||
\(435\) | 3.86796e7 | + | 3.35160e7i | 0.469909 | + | 0.407179i | ||||
\(436\) | − | 9.60201e7i | − | 1.15852i | ||||||
\(437\) | −9.56035e7 | − | 7.91702e7i | −1.14559 | − | 0.948675i | ||||
\(438\) | 286469. | 0.00340922 | ||||||||
\(439\) | −2.77640e7 | + | 3.20413e7i | −0.328162 | + | 0.378719i | −0.895723 | − | 0.444612i | \(-0.853341\pi\) |
0.567561 | + | 0.823331i | \(0.307887\pi\) | |||||||
\(440\) | −681903. | + | 438233.i | −0.00800506 | + | 0.00514454i | ||||
\(441\) | 7.17805e6 | + | 4.99245e7i | 0.0836933 | + | 0.582100i | ||||
\(442\) | 386668. | − | 176586.i | 0.00447787 | − | 0.00204498i | ||||
\(443\) | −2.31251e6 | + | 1.60838e7i | −0.0265994 | + | 0.185003i | −0.998789 | − | 0.0491906i | \(-0.984336\pi\) |
0.972190 | + | 0.234193i | \(0.0752449\pi\) | |||||||
\(444\) | −5.86863e6 | − | 1.99867e7i | −0.0670483 | − | 0.228345i | ||||
\(445\) | 4.71123e7 | + | 3.02773e7i | 0.534632 | + | 0.343587i | ||||
\(446\) | 70946.7 | − | 155352.i | 0.000799701 | − | 0.00175110i | ||||
\(447\) | −2.06427e7 | + | 7.03026e7i | −0.231123 | + | 0.787134i | ||||
\(448\) | −1.12966e8 | + | 9.78852e7i | −1.25635 | + | 1.08864i | ||||
\(449\) | 4.48212e7 | + | 5.17264e7i | 0.495159 | + | 0.571443i | 0.947237 | − | 0.320535i | \(-0.103863\pi\) |
−0.452078 | + | 0.891978i | \(0.649317\pi\) | |||||||
\(450\) | 50422.5 | + | 14805.4i | 0.000553333 | + | 0.000162473i | ||||
\(451\) | −8.04548e7 | − | 3.67425e7i | −0.877045 | − | 0.400533i | ||||
\(452\) | −7.31682e7 | + | 1.13852e8i | −0.792332 | + | 1.23289i | ||||
\(453\) | −4.12852e7 | + | 1.21224e7i | −0.444119 | + | 0.130405i | ||||
\(454\) | 738114. | + | 106125.i | 0.00788780 | + | 0.00113409i | ||||
\(455\) | 3.71764e7 | + | 8.14050e7i | 0.394669 | + | 0.864205i | ||||
\(456\) | 742697. | − | 106784.i | 0.00783280 | − | 0.00112619i | ||||
\(457\) | −1.16300e7 | − | 1.80966e7i | −0.121851 | − | 0.189604i | 0.774969 | − | 0.631999i | \(-0.217765\pi\) |
−0.896820 | + | 0.442395i | \(0.854129\pi\) | |||||||
\(458\) | −142094. | − | 123125.i | −0.00147903 | − | 0.00128159i | ||||
\(459\) | − | 2.74981e7i | − | 0.284357i | ||||||
\(460\) | −2.00157e7 | + | 7.42692e7i | −0.205636 | + | 0.763018i | ||||
\(461\) | 7.71970e7 | 0.787948 | 0.393974 | − | 0.919122i | \(-0.371100\pi\) | ||||
0.393974 | + | 0.919122i | \(0.371100\pi\) | |||||||
\(462\) | −373204. | + | 430700.i | −0.00378460 | + | 0.00436767i | ||||
\(463\) | −1.37576e8 | + | 8.84145e7i | −1.38611 | + | 0.890801i | −0.999506 | − | 0.0314435i | \(-0.989990\pi\) |
−0.386608 | + | 0.922244i | \(0.626353\pi\) | |||||||
\(464\) | 1.93733e7 | + | 1.34744e8i | 0.193932 | + | 1.34883i | ||||
\(465\) | −5.74233e7 | + | 2.62243e7i | −0.571122 | + | 0.260823i | ||||
\(466\) | −85874.9 | + | 597273.i | −0.000848611 | + | 0.00590222i | ||||
\(467\) | −3.24099e7 | − | 1.10378e8i | −0.318220 | − | 1.08376i | −0.950940 | − | 0.309377i | \(-0.899880\pi\) |
0.632720 | − | 0.774381i | \(-0.281939\pi\) | |||||||
\(468\) | 2.07839e7 | + | 1.33570e7i | 0.202763 | + | 0.130308i | ||||
\(469\) | 1.02192e8 | − | 2.23770e8i | 0.990602 | − | 2.16911i | ||||
\(470\) | 11708.3 | − | 39874.9i | 0.000112772 | − | 0.000384066i | ||||
\(471\) | −2.08091e7 | + | 1.80312e7i | −0.199155 | + | 0.172569i | ||||
\(472\) | −398314. | − | 459679.i | −0.00378791 | − | 0.00437148i | ||||
\(473\) | −2.04936e8 | − | 6.01747e7i | −1.93658 | − | 0.568631i | ||||
\(474\) | 269994. | + | 123302.i | 0.00253524 | + | 0.00115780i | ||||
\(475\) | −3.23606e7 | + | 5.03541e7i | −0.301951 | + | 0.469844i | ||||
\(476\) | 2.54208e8 | − | 7.46422e7i | 2.35705 | − | 0.692092i | ||||
\(477\) | −3.24182e7 | − | 4.66103e6i | −0.298699 | − | 0.0429464i | ||||
\(478\) | −156550. | − | 342796.i | −0.00143341 | − | 0.00313872i | ||||
\(479\) | −1.05130e8 | + | 1.51155e7i | −0.956581 | + | 0.137536i | −0.602888 | − | 0.797826i | \(-0.705983\pi\) |
−0.353693 | + | 0.935361i | \(0.615074\pi\) | |||||||
\(480\) | −377066. | − | 586727.i | −0.00340953 | − | 0.00530533i | ||||
\(481\) | −2.50683e7 | − | 2.17218e7i | −0.225263 | − | 0.195192i | ||||
\(482\) | 45828.3i | 0.000409254i | ||||||||
\(483\) | 2.41730e6 | + | 1.08134e8i | 0.0214530 | + | 0.959666i | ||||
\(484\) | 8.02102e7 | 0.707446 | ||||||||
\(485\) | −6.38672e7 | + | 7.37067e7i | −0.559826 | + | 0.646073i | ||||
\(486\) | −28543.0 | + | 18343.5i | −0.000248652 | + | 0.000159799i | ||||
\(487\) | −1.79173e6 | − | 1.24617e7i | −0.0155126 | − | 0.107893i | 0.980594 | − | 0.196050i | \(-0.0628114\pi\) |
−0.996107 | + | 0.0881570i | \(0.971902\pi\) | |||||||
\(488\) | −820710. | + | 374806.i | −0.00706204 | + | 0.00322512i | ||||
\(489\) | −5.28910e6 | + | 3.67865e7i | −0.0452330 | + | 0.314602i | ||||
\(490\) | −212924. | − | 725152.i | −0.00180982 | − | 0.00616369i | ||||
\(491\) | −9.99711e7 | − | 6.42475e7i | −0.844559 | − | 0.542765i | 0.0453141 | − | 0.998973i | \(-0.485571\pi\) |
−0.889873 | + | 0.456207i | \(0.849207\pi\) | |||||||
\(492\) | 2.10760e7 | − | 4.61500e7i | 0.176967 | − | 0.387505i | ||||
\(493\) | 6.79754e7 | − | 2.31503e8i | 0.567297 | − | 1.93204i | ||||
\(494\) | 451488. | − | 391217.i | 0.00374512 | − | 0.00324516i | ||||
\(495\) | 2.73394e7 | + | 3.15513e7i | 0.225410 | + | 0.260137i | ||||
\(496\) | −1.61107e8 | − | 4.73052e7i | −1.32029 | − | 0.387671i | ||||
\(497\) | −2.55967e8 | − | 1.16896e8i | −2.08504 | − | 0.952205i | ||||
\(498\) | 270845. | − | 421443.i | 0.00219297 | − | 0.00341233i | ||||
\(499\) | 5.74635e7 | − | 1.68728e7i | 0.462477 | − | 0.135796i | −0.0421899 | − | 0.999110i | \(-0.513433\pi\) |
0.504667 | + | 0.863314i | \(0.331615\pi\) | |||||||
\(500\) | 1.34488e8 | + | 1.93365e7i | 1.07591 | + | 0.154692i | ||||
\(501\) | −3.01769e7 | − | 6.60782e7i | −0.239973 | − | 0.525467i | ||||
\(502\) | −489898. | + | 70436.7i | −0.00387253 | + | 0.000556785i | ||||
\(503\) | 1.32682e8 | + | 2.06457e8i | 1.04258 | + | 1.62228i | 0.744353 | + | 0.667787i | \(0.232758\pi\) |
0.298225 | + | 0.954496i | \(0.403605\pi\) | |||||||
\(504\) | −494118. | − | 428155.i | −0.00385957 | − | 0.00334433i | ||||
\(505\) | − | 6.52406e7i | − | 0.506575i | ||||||
\(506\) | −577921. | + | 523838.i | −0.00446085 | + | 0.00404339i | ||||
\(507\) | −3.59013e7 | −0.275478 | ||||||||
\(508\) | −8.07461e7 | + | 9.31860e7i | −0.615929 | + | 0.710820i | ||||
\(509\) | 1.48311e8 | − | 9.53139e7i | 1.12466 | − | 0.722774i | 0.160220 | − | 0.987081i | \(-0.448780\pi\) |
0.964439 | + | 0.264307i | \(0.0851432\pi\) | |||||||
\(510\) | 58638.6 | + | 407840.i | 0.000442052 | + | 0.00307454i | ||||
\(511\) | 2.58622e8 | − | 1.18109e8i | 1.93822 | − | 0.885156i | ||||
\(512\) | 440008. | − | 3.06032e6i | 0.00327832 | − | 0.0228012i | ||||
\(513\) | −1.08877e7 | − | 3.70800e7i | −0.0806461 | − | 0.274655i | ||||
\(514\) | −248983. | − | 160011.i | −0.00183349 | − | 0.00117832i | ||||
\(515\) | 7.91368e6 | − | 1.73285e7i | 0.0579371 | − | 0.126865i | ||||
\(516\) | 3.45171e7 | − | 1.17554e8i | 0.251238 | − | 0.855637i | ||||
\(517\) | −1.50021e7 | + | 1.29994e7i | −0.108563 | + | 0.0940700i | ||||
\(518\) | 287419. | + | 331699.i | 0.00206788 | + | 0.00238646i | ||||
\(519\) | 6.16940e7 | + | 1.81150e7i | 0.441307 | + | 0.129579i | ||||
\(520\) | −673489. | − | 307572.i | −0.00478983 | − | 0.00218744i | ||||
\(521\) | −1.16973e7 | + | 1.82014e7i | −0.0827130 | + | 0.128704i | −0.880145 | − | 0.474705i | \(-0.842555\pi\) |
0.797432 | + | 0.603409i | \(0.206191\pi\) | |||||||
\(522\) | −285645. | + | 83872.9i | −0.00200824 | + | 0.000589672i | ||||
\(523\) | 7.71237e6 | + | 1.10887e6i | 0.0539117 | + | 0.00775133i | 0.169218 | − | 0.985579i | \(-0.445876\pi\) |
−0.115306 | + | 0.993330i | \(0.536785\pi\) | |||||||
\(524\) | −2.82117e7 | − | 6.17751e7i | −0.196081 | − | 0.429358i | ||||
\(525\) | 5.16253e7 | − | 7.42259e6i | 0.356767 | − | 0.0512953i | ||||
\(526\) | 625074. | + | 972635.i | 0.00429511 | + | 0.00668332i | ||||
\(527\) | 2.24911e8 | + | 1.94886e8i | 1.53666 | + | 1.33153i | ||||
\(528\) | 1.11042e8i | 0.754375i | ||||||||
\(529\) | −1.44987e7 | + | 1.47324e8i | −0.0979405 | + | 0.995192i | ||||
\(530\) | 490752. | 0.00329636 | ||||||||
\(531\) | −2.05149e7 | + | 2.36755e7i | −0.137021 | + | 0.158130i | ||||
\(532\) | 3.13235e8 | − | 2.01304e8i | 2.08034 | − | 1.33696i | ||||
\(533\) | −1.14975e7 | − | 7.99671e7i | −0.0759317 | − | 0.528117i | ||||
\(534\) | −296316. | + | 135323.i | −0.00194595 | + | 0.000888684i | ||||
\(535\) | −1.39723e7 | + | 9.71795e7i | −0.0912445 | + | 0.634619i | ||||
\(536\) | 573392. | + | 1.95279e6i | 0.00372355 | + | 0.0126813i | ||||
\(537\) | 4.02942e7 | + | 2.58955e7i | 0.260208 | + | 0.167225i | ||||
\(538\) | −319060. | + | 698645.i | −0.00204892 | + | 0.00448652i | ||||
\(539\) | −1.01705e8 | + | 3.46374e8i | −0.649493 | + | 2.21197i | ||||
\(540\) | −1.80983e7 | + | 1.56823e7i | −0.114936 | + | 0.0995927i | ||||
\(541\) | 3.27478e7 | + | 3.77929e7i | 0.206819 | + | 0.238682i | 0.849677 | − | 0.527304i | \(-0.176797\pi\) |
−0.642858 | + | 0.765985i | \(0.722252\pi\) | |||||||
\(542\) | 543596. | + | 159614.i | 0.00341412 | + | 0.00100248i | ||||
\(543\) | 4.53984e7 | + | 2.07328e7i | 0.283557 | + | 0.129496i | ||||
\(544\) | −1.77758e6 | + | 2.76596e6i | −0.0110416 | + | 0.0171811i | ||||
\(545\) | 1.42204e8 | − | 4.17549e7i | 0.878462 | − | 0.257940i | ||||
\(546\) | −515256. | − | 74082.6i | −0.00316552 | − | 0.000455133i | ||||
\(547\) | −7.23923e7 | − | 1.58517e8i | −0.442314 | − | 0.968532i | −0.991168 | − | 0.132614i | \(-0.957663\pi\) |
0.548854 | − | 0.835918i | \(-0.315064\pi\) | |||||||
\(548\) | −1.62048e8 | + | 2.32989e7i | −0.984694 | + | 0.141578i | ||||
\(549\) | 2.51233e7 | + | 3.90926e7i | 0.151831 | + | 0.236253i | ||||
\(550\) | 284255. | + | 246308.i | 0.00170852 | + | 0.00148044i | ||||
\(551\) | − | 3.39086e8i | − | 2.02701i | ||||||
\(552\) | −600969. | − | 663016.i | −0.00357301 | − | 0.00394191i | ||||
\(553\) | 2.94585e8 | 1.74195 | ||||||||
\(554\) | 834457. | − | 963014.i | 0.00490766 | − | 0.00566374i | ||||
\(555\) | 2.70480e7 | − | 1.73827e7i | 0.158218 | − | 0.101681i | ||||
\(556\) | 898860. | + | 6.25171e6i | 0.00522959 | + | 0.0363726i | ||||
\(557\) | 7.13880e7 | − | 3.26018e7i | 0.413104 | − | 0.188658i | −0.198011 | − | 0.980200i | \(-0.563448\pi\) |
0.611116 | + | 0.791541i | \(0.290721\pi\) | |||||||
\(558\) | 52258.1 | − | 363463.i | 0.000300781 | − | 0.00209198i | ||||
\(559\) | −5.49645e7 | − | 1.87192e8i | −0.314664 | − | 1.07165i | ||||
\(560\) | −1.94098e8 | − | 1.24740e8i | −1.10524 | − | 0.710297i | ||||
\(561\) | 8.17583e7 | − | 1.79026e8i | 0.463067 | − | 1.01397i | ||||
\(562\) | 11891.7 | − | 40499.4i | 6.69939e−5 | − | 0.000228160i | ||||
\(563\) | −4.00547e7 | + | 3.47076e7i | −0.224455 | + | 0.194491i | −0.759827 | − | 0.650125i | \(-0.774717\pi\) |
0.535373 | + | 0.844616i | \(0.320171\pi\) | |||||||
\(564\) | −7.45664e6 | − | 8.60542e6i | −0.0415629 | − | 0.0479662i | ||||
\(565\) | −2.00431e8 | − | 5.88518e7i | −1.11127 | − | 0.326298i | ||||
\(566\) | 309569. | + | 141375.i | 0.00170729 | + | 0.000779694i | ||||
\(567\) | −1.82056e7 | + | 2.83284e7i | −0.0998747 | + | 0.155408i | ||||
\(568\) | 2.23377e6 | − | 655894.i | 0.0121897 | − | 0.00357922i | ||||
\(569\) | 1.11832e8 | + | 1.60791e7i | 0.607059 | + | 0.0872820i | 0.438988 | − | 0.898493i | \(-0.355337\pi\) |
0.168071 | + | 0.985775i | \(0.446246\pi\) | |||||||
\(570\) | 240553. | + | 526738.i | 0.00129893 | + | 0.00284427i | ||||
\(571\) | −4.46443e7 | + | 6.41888e6i | −0.239804 | + | 0.0344787i | −0.261169 | − | 0.965293i | \(-0.584108\pi\) |
0.0213646 | + | 0.999772i | \(0.493199\pi\) | |||||||
\(572\) | 9.55994e7 | + | 1.48756e8i | 0.510819 | + | 0.794850i | ||||
\(573\) | −4.79499e7 | − | 4.15488e7i | −0.254873 | − | 0.220849i | ||||
\(574\) | 1.06899e6i | 0.00565246i | ||||||||
\(575\) | 7.13664e7 | − | 1.59537e6i | 0.375397 | − | 0.00839188i | ||||
\(576\) | −6.36929e7 | −0.333291 | ||||||||
\(577\) | −1.84545e8 | + | 2.12977e8i | −0.960673 | + | 1.10868i | 0.0333434 | + | 0.999444i | \(0.489385\pi\) |
−0.994016 | + | 0.109232i | \(0.965161\pi\) | |||||||
\(578\) | 885595. | − | 569137.i | 0.00458618 | − | 0.00294736i | ||||
\(579\) | −1.51079e7 | − | 1.05078e8i | −0.0778338 | − | 0.541346i | ||||
\(580\) | −1.91134e8 | + | 8.72878e7i | −0.979610 | + | 0.447373i | ||||
\(581\) | 7.07595e7 | − | 4.92143e8i | 0.360792 | − | 2.50936i | ||||
\(582\) | −159826. | − | 544317.i | −0.000810733 | − | 0.00276110i | ||||
\(583\) | −1.97199e8 | − | 1.26732e8i | −0.995176 | − | 0.639561i | ||||
\(584\) | −977151. | + | 2.13966e6i | −0.00490595 | + | 0.0107425i | ||||
\(585\) | −1.07435e7 | + | 3.65889e7i | −0.0536633 | + | 0.182760i | ||||
\(586\) | −203984. | + | 176753.i | −0.00101369 | + | 0.000878363i | ||||
\(587\) | −3.87312e7 | − | 4.46982e7i | −0.191490 | − | 0.220991i | 0.651883 | − | 0.758319i | \(-0.273979\pi\) |
−0.843373 | + | 0.537328i | \(0.819434\pi\) | |||||||
\(588\) | −1.98685e8 | − | 5.83393e7i | −0.977314 | − | 0.286965i | ||||
\(589\) | 3.80447e8 | + | 1.73744e8i | 1.86187 | + | 0.850285i | ||||
\(590\) | 253781. | − | 394892.i | 0.00123567 | − | 0.00192275i | ||||
\(591\) | −3.42858e7 | + | 1.00672e7i | −0.166093 | + | 0.0487694i | ||||
\(592\) | 8.46476e7 | + | 1.21705e7i | 0.407990 | + | 0.0586601i | ||||
\(593\) | 1.12117e8 | + | 2.45503e8i | 0.537662 | + | 1.17732i | 0.962310 | + | 0.271956i | \(0.0876706\pi\) |
−0.424648 | + | 0.905359i | \(0.639602\pi\) | |||||||
\(594\) | −240368. | + | 34559.7i | −0.00114688 | + | 0.000164896i | ||||
\(595\) | 2.21088e8 | + | 3.44020e8i | 1.04958 | + | 1.63317i | ||||
\(596\) | −2.27339e8 | − | 1.96991e8i | −1.07383 | − | 0.930480i | ||||
\(597\) | 1.67428e7i | 0.0786874i | ||||||||
\(598\) | −687920. | − | 185396.i | −0.00321688 | − | 0.000866957i | ||||
\(599\) | 6.16735e7 | 0.286958 | 0.143479 | − | 0.989653i | \(-0.454171\pi\) | ||||
0.143479 | + | 0.989653i | \(0.454171\pi\) | |||||||
\(600\) | −282575. | + | 326109.i | −0.00130822 | + | 0.00150976i | ||||
\(601\) | −2.33068e8 | + | 1.49784e8i | −1.07364 | + | 0.689988i | −0.953080 | − | 0.302717i | \(-0.902106\pi\) |
−0.120563 | + | 0.992706i | \(0.538470\pi\) | |||||||
\(602\) | 367379. | + | 2.55518e6i | 0.00168393 | + | 0.0117120i | ||||
\(603\) | 9.53507e7 | − | 4.35452e7i | 0.434883 | − | 0.198604i | ||||
\(604\) | 2.51403e7 | − | 1.74854e8i | 0.114093 | − | 0.793535i | ||||
\(605\) | 3.48799e7 | + | 1.18790e8i | 0.157510 | + | 0.536431i | ||||
\(606\) | 319246. | + | 205167.i | 0.00143453 | + | 0.000921913i | ||||
\(607\) | 3.78166e7 | − | 8.28068e7i | 0.169089 | − | 0.370254i | −0.806050 | − | 0.591848i | \(-0.798399\pi\) |
0.975139 | + | 0.221594i | \(0.0711259\pi\) | |||||||
\(608\) | −1.30182e6 | + | 4.43361e6i | −0.00579217 | + | 0.0197263i | ||||
\(609\) | −2.23298e8 | + | 1.93489e8i | −0.988630 | + | 0.856653i | ||||
\(610\) | −455981. | − | 526230.i | −0.00200890 | − | 0.00231839i | ||||
\(611\) | −1.73974e7 | − | 5.10834e6i | −0.0762713 | − | 0.0223953i | ||||
\(612\) | 1.02692e8 | + | 4.68978e7i | 0.448004 | + | 0.204597i | ||||
\(613\) | −5.65805e7 | + | 8.80410e7i | −0.245632 | + | 0.382211i | −0.942076 | − | 0.335401i | \(-0.891128\pi\) |
0.696443 | + | 0.717612i | \(0.254765\pi\) | |||||||
\(614\) | 251237. | − | 73769.7i | 0.00108537 | − | 0.000318693i | ||||
\(615\) | 7.75126e7 | + | 1.11446e7i | 0.333232 | + | 0.0479115i | ||||
\(616\) | −1.94394e6 | − | 4.25662e6i | −0.00831648 | − | 0.0182106i | ||||
\(617\) | 1.96601e8 | − | 2.82670e7i | 0.837010 | − | 0.120344i | 0.289537 | − | 0.957167i | \(-0.406499\pi\) |
0.547473 | + | 0.836823i | \(0.315590\pi\) | |||||||
\(618\) | 59908.2 | + | 93218.9i | 0.000253817 | + | 0.000394947i | ||||
\(619\) | 2.13703e8 | + | 1.85174e8i | 0.901027 | + | 0.780745i | 0.976301 | − | 0.216418i | \(-0.0694375\pi\) |
−0.0752734 | + | 0.997163i | \(0.523983\pi\) | |||||||
\(620\) | − | 2.59173e8i | − | 1.08746i | ||||||
\(621\) | −2.93956e7 | + | 3.54972e7i | −0.122746 | + | 0.148224i | ||||
\(622\) | −1.04661e6 | −0.00434925 | ||||||||
\(623\) | −2.11719e8 | + | 2.44337e8i | −0.875581 | + | 1.01047i | ||||
\(624\) | −8.53266e7 | + | 5.48361e7i | −0.351181 | + | 0.225690i | ||||
\(625\) | 1.67997e7 | + | 1.16844e8i | 0.0688116 | + | 0.478595i | ||||
\(626\) | 174249. | − | 79576.9i | 0.000710310 | − | 0.000324388i | ||||
\(627\) | 3.93637e7 | − | 2.73780e8i | 0.159696 | − | 1.11071i | ||||
\(628\) | −3.18479e7 | − | 1.08464e8i | −0.128588 | − | 0.437931i | ||||
\(629\) | −1.27510e8 | − | 8.19460e7i | −0.512382 | − | 0.329288i | ||||
\(630\) | 209608. | − | 458979.i | 0.000838276 | − | 0.00183557i | ||||
\(631\) | −1.14584e8 | + | 3.90236e8i | −0.456073 | + | 1.55324i | 0.335424 | + | 0.942067i | \(0.391121\pi\) |
−0.791496 | + | 0.611174i | \(0.790698\pi\) | |||||||
\(632\) | −1.84191e6 | + | 1.59602e6i | −0.00729653 | + | 0.00632248i | ||||
\(633\) | 8.82787e7 | + | 1.01879e8i | 0.348052 | + | 0.401674i | ||||
\(634\) | −238610. | − | 70062.3i | −0.000936313 | − | 0.000274926i | ||||
\(635\) | −1.73120e8 | − | 7.90613e7i | −0.676124 | − | 0.308775i | ||||
\(636\) | 7.26956e7 | − | 1.13117e8i | 0.282577 | − | 0.439698i | ||||
\(637\) | −3.16384e8 | + | 9.28987e7i | −1.22404 | + | 0.359411i | ||||
\(638\) | −2.10906e6 | − | 303237.i | −0.00812133 | − | 0.00116767i | ||||
\(639\) | −4.98107e7 | − | 1.09070e8i | −0.190906 | − | 0.418026i | ||||
\(640\) | 3.77895e6 | − | 543330.i | 0.0144155 | − | 0.00207264i | ||||
\(641\) | 7.74487e7 | + | 1.20513e8i | 0.294063 | + | 0.457571i | 0.956577 | − | 0.291478i | \(-0.0941471\pi\) |
−0.662515 | + | 0.749049i | \(0.730511\pi\) | |||||||
\(642\) | −431595. | − | 373979.i | −0.00163107 | − | 0.00141333i | ||||
\(643\) | 3.94027e8i | 1.48215i | 0.671421 | + | 0.741076i | \(0.265684\pi\) | ||||
−0.671421 | + | 0.741076i | \(0.734316\pi\) | |||||||
\(644\) | −4.07949e8 | − | 1.75394e8i | −1.52738 | − | 0.656685i | ||||
\(645\) | 1.89106e8 | 0.704736 | ||||||||
\(646\) | 1.78767e6 | − | 2.06309e6i | 0.00663118 | − | 0.00765279i | ||||
\(647\) | −1.39975e8 | + | 8.99568e7i | −0.516820 | + | 0.332140i | −0.772913 | − | 0.634512i | \(-0.781201\pi\) |
0.256093 | + | 0.966652i | \(0.417565\pi\) | |||||||
\(648\) | −39648.4 | − | 275761.i | −0.000145714 | − | 0.00101346i | ||||
\(649\) | −2.03955e8 | + | 9.31429e7i | −0.746104 | + | 0.340734i | ||||
\(650\) | −48893.2 | + | 340060.i | −0.000178036 | + | 0.00123827i | ||||
\(651\) | −1.02675e8 | − | 3.49678e8i | −0.372152 | − | 1.26743i | ||||
\(652\) | −1.28359e8 | − | 8.24913e7i | −0.463109 | − | 0.297622i | ||||
\(653\) | −1.27411e8 | + | 2.78992e8i | −0.457582 | + | 1.00197i | 0.530450 | + | 0.847716i | \(0.322023\pi\) |
−0.988032 | + | 0.154249i | \(0.950704\pi\) | |||||||
\(654\) | −242878. | + | 827168.i | −0.000868272 | + | 0.00295706i | ||||
\(655\) | 7.92199e7 | − | 6.86445e7i | 0.281910 | − | 0.244276i | ||||
\(656\) | 1.36400e8 | + | 1.57414e8i | 0.483173 | + | 0.557611i | ||||
\(657\) | 1.16242e8 | + | 3.41319e7i | 0.409891 | + | 0.120355i | ||||
\(658\) | 218236. | + | 99665.2i | 0.000766036 | + | 0.000349837i | ||||
\(659\) | 1.80048e8 | − | 2.80160e8i | 0.629117 | − | 0.978925i | −0.369645 | − | 0.929173i | \(-0.620521\pi\) |
0.998762 | − | 0.0497517i | \(-0.0158430\pi\) | |||||||
\(660\) | −1.64456e8 | + | 4.82885e7i | −0.572028 | + | 0.167962i | ||||
\(661\) | −1.18949e8 | − | 1.71023e7i | −0.411866 | − | 0.0592173i | −0.0667321 | − | 0.997771i | \(-0.521257\pi\) |
−0.345134 | + | 0.938554i | \(0.612166\pi\) | |||||||
\(662\) | 812133. | + | 1.77832e6i | 0.00279932 | + | 0.00612966i | ||||
\(663\) | 1.77941e8 | − | 2.55840e7i | 0.610569 | − | 0.0877866i | ||||
\(664\) | 2.22394e6 | + | 3.46052e6i | 0.00759659 | + | 0.0118205i | ||||
\(665\) | 4.34340e8 | + | 3.76358e8i | 1.47695 | + | 1.27978i | ||||
\(666\) | 187021.i | 0.000633092i | ||||||||
\(667\) | −3.35227e8 | + | 2.26180e8i | −1.12969 | + | 0.762215i | ||||
\(668\) | 2.98236e8 | 1.00053 | ||||||||
\(669\) | 4.72982e7 | − | 5.45850e7i | 0.157967 | − | 0.182304i | ||||
\(670\) | −1.32134e6 | + | 849176.i | −0.00439331 | + | 0.00282341i | ||||
\(671\) | 4.73331e7 | + | 3.29209e8i | 0.156674 | + | 1.08969i | ||||
\(672\) | 3.66251e6 | − | 1.67261e6i | 0.0120690 | − | 0.00551172i | ||||
\(673\) | −1.52900e7 | + | 1.06344e8i | −0.0501606 | + | 0.348875i | 0.949249 | + | 0.314525i | \(0.101845\pi\) |
−0.999410 | + | 0.0343500i | \(0.989064\pi\) | |||||||
\(674\) | −585256. | − | 1.99320e6i | −0.00191146 | − | 0.00650985i | ||||
\(675\) | 1.86963e7 | + | 1.20154e7i | 0.0607916 | + | 0.0390684i | ||||
\(676\) | 6.12294e7 | − | 1.34074e8i | 0.198207 | − | 0.434014i | ||||
\(677\) | 1.28782e8 | − | 4.38591e8i | 0.415039 | − | 1.41349i | −0.441430 | − | 0.897296i | \(-0.645529\pi\) |
0.856469 | − | 0.516198i | \(-0.172653\pi\) | |||||||
\(678\) | 918293. | − | 795706.i | 0.00294640 | − | 0.00255307i | ||||
\(679\) | −3.68707e8 | − | 4.25511e8i | −1.17780 | − | 1.35926i | ||||
\(680\) | −3.24622e6 | − | 953175.i | −0.0103241 | − | 0.00303142i | ||||
\(681\) | 2.86865e8 | + | 1.31007e8i | 0.908315 | + | 0.414814i | ||||
\(682\) | 1.42089e6 | − | 2.21094e6i | 0.00447926 | − | 0.00696986i | ||||
\(683\) | −1.94548e8 | + | 5.71245e7i | −0.610611 | + | 0.179292i | −0.572395 | − | 0.819978i | \(-0.693986\pi\) |
−0.0382159 | + | 0.999270i | \(0.512167\pi\) | |||||||
\(684\) | 1.57045e8 | + | 2.25796e7i | 0.490743 | + | 0.0705583i | ||||
\(685\) | −1.04973e8 | − | 2.29858e8i | −0.326592 | − | 0.715136i | ||||
\(686\) | 1.87079e6 | − | 268979.i | 0.00579500 | − | 0.000833195i | ||||
\(687\) | −4.29884e7 | − | 6.68913e7i | −0.132581 | − | 0.206300i | ||||
\(688\) | 3.80131e8 | + | 3.29385e8i | 1.16726 | + | 1.01144i | ||||
\(689\) | − | 2.14115e8i | − | 0.654621i | ||||||
\(690\) | 360287. | − | 589165.i | 0.00109673 | − | 0.00179345i | ||||
\(691\) | 1.48086e8 | 0.448828 | 0.224414 | − | 0.974494i | \(-0.427953\pi\) | ||||
0.224414 | + | 0.974494i | \(0.427953\pi\) | |||||||
\(692\) | −1.72869e8 | + | 1.99502e8i | −0.521674 | + | 0.602044i | ||||
\(693\) | −2.02754e8 | + | 1.30302e8i | −0.609215 | + | 0.391518i | ||||
\(694\) | −176701. | − | 1.22898e6i | −0.000528639 | − | 0.00367677i | ||||
\(695\) | −8.86781e6 | + | 4.04979e6i | −0.0264157 | + | 0.0120636i | ||||
\(696\) | 347886. | − | 2.41960e6i | 0.00103183 | − | 0.00717656i | ||||
\(697\) | −1.04007e8 | − | 3.54216e8i | −0.307160 | − | 1.04609i | ||||
\(698\) | 415170. | + | 266814.i | 0.00122084 | + | 0.000784588i | ||||
\(699\) | −1.06009e8 | + | 2.32128e8i | −0.310393 | + | 0.679667i | ||||
\(700\) | −6.03268e7 | + | 2.05454e8i | −0.175880 | + | 0.598992i | ||||
\(701\) | 9.08598e7 | − | 7.87304e7i | 0.263765 | − | 0.228554i | −0.512930 | − | 0.858430i | \(-0.671440\pi\) |
0.776695 | + | 0.629877i | \(0.216895\pi\) | |||||||
\(702\) | −145257. | − | 167636.i | −0.000419881 | − | 0.000484569i | ||||
\(703\) | −2.04388e8 | − | 6.00138e7i | −0.588288 | − | 0.172737i | ||||
\(704\) | −4.14671e8 | − | 1.89374e8i | −1.18846 | − | 0.542753i | ||||
\(705\) | 9.50193e6 | − | 1.47853e7i | 0.0271172 | − | 0.0421952i | ||||
\(706\) | −670949. | + | 197008.i | −0.00190667 | + | 0.000559848i | ||||
\(707\) | 3.72802e8 | + | 5.36009e7i | 1.05492 | + | 0.151675i | ||||
\(708\) | −5.34282e7 | − | 1.16991e8i | −0.150546 | − | 0.329651i | ||||
\(709\) | −5.21109e7 | + | 7.49241e6i | −0.146214 | + | 0.0210224i | −0.215033 | − | 0.976607i | \(-0.568986\pi\) |
0.0688190 | + | 0.997629i | \(0.478077\pi\) | |||||||
\(710\) | 971359. | + | 1.51146e6i | 0.00271397 | + | 0.00422302i | ||||
\(711\) | 9.48662e7 | + | 8.22020e7i | 0.263938 | + | 0.228704i | ||||
\(712\) | − | 2.67480e6i | − | 0.00741056i | ||||||
\(713\) | −8.20025e7 | − | 4.92009e8i | −0.226234 | − | 1.35739i | ||||
\(714\) | −2.37869e6 | −0.00653495 | ||||||||
\(715\) | −1.78733e8 | + | 2.06269e8i | −0.488974 | + | 0.564307i | ||||
\(716\) | −1.65429e8 | + | 1.06314e8i | −0.450683 | + | 0.289636i | ||||
\(717\) | −2.26812e7 | − | 1.57751e8i | −0.0615331 | − | 0.427972i | ||||
\(718\) | −405058. | + | 184984.i | −0.00109432 | + | 0.000499759i | ||||
\(719\) | −8.85119e6 | + | 6.15614e7i | −0.0238130 | + | 0.165623i | −0.998258 | − | 0.0590042i | \(-0.981207\pi\) |
0.974445 | + | 0.224628i | \(0.0721165\pi\) | |||||||
\(720\) | −2.76984e7 | − | 9.43322e7i | −0.0742092 | − | 0.252733i | ||||
\(721\) | 9.25181e7 | + | 5.94578e7i | 0.246843 | + | 0.158636i | ||||
\(722\) | 873361. | − | 1.91239e6i | 0.00232050 | − | 0.00508119i | ||||
\(723\) | −5.46030e6 | + | 1.85961e7i | −0.0144478 | + | 0.0492047i | ||||
\(724\) | −1.54853e8 | + | 1.34181e8i | −0.408042 | + | 0.353570i | ||||
\(725\) | 1.27699e8 | + | 1.47373e8i | 0.335100 | + | 0.386727i | ||||
\(726\) | −690973. | − | 202888.i | −0.00180572 | − | 0.000530208i | ||||
\(727\) | 5.22053e8 | + | 2.38414e8i | 1.35866 | + | 0.620480i | 0.955593 | − | 0.294689i | \(-0.0952162\pi\) |
0.403069 | + | 0.915170i | \(0.367943\pi\) | |||||||
\(728\) | 2.31088e6 | − | 3.59580e6i | 0.00598940 | − | 0.00931968i | ||||
\(729\) | −1.37677e7 | + | 4.04255e6i | −0.0355368 | + | 0.0104345i | ||||
\(730\) | −1.79684e6 | − | 258347.i | −0.00461894 | − | 0.000664103i | ||||
\(731\) | −3.70338e8 | − | 8.10927e8i | −0.948083 | − | 2.07601i | ||||
\(732\) | −1.88839e8 | + | 2.71510e7i | −0.481458 | + | 0.0692232i | ||||
\(733\) | −1.83901e8 | − | 2.86156e8i | −0.466952 | − | 0.726591i | 0.525289 | − | 0.850924i | \(-0.323957\pi\) |
−0.992241 | + | 0.124333i | \(0.960321\pi\) | |||||||
\(734\) | −751777. | − | 651418.i | −0.00190108 | − | 0.00164730i | ||||
\(735\) | − | 3.19619e8i | − | 0.804954i | ||||||
\(736\) | 5.25150e6 | − | 1.67034e6i | 0.0131719 | − | 0.00418958i | ||||
\(737\) | 7.50249e8 | 1.87414 | ||||||||
\(738\) | −298294. | + | 344250.i | −0.000742123 | + | 0.000856456i | ||||
\(739\) | 5.10744e8 | − | 3.28235e8i | 1.26552 | − | 0.813303i | 0.276493 | − | 0.961016i | \(-0.410828\pi\) |
0.989030 | + | 0.147713i | \(0.0471913\pi\) | |||||||
\(740\) | 1.87856e7 | + | 1.30657e8i | 0.0463587 | + | 0.322432i | ||||
\(741\) | 2.29816e8 | − | 1.04953e8i | 0.564840 | − | 0.257954i | ||||
\(742\) | −403196. | + | 2.80429e6i | −0.000986971 | + | 0.00686454i | ||||
\(743\) | 1.42299e8 | + | 4.84627e8i | 0.346926 | + | 1.18152i | 0.929525 | + | 0.368760i | \(0.120218\pi\) |
−0.582599 | + | 0.812760i | \(0.697964\pi\) | |||||||
\(744\) | 2.53648e6 | + | 1.63010e6i | 0.00615905 | + | 0.00395818i | ||||
\(745\) | 1.92880e8 | − | 4.22349e8i | 0.466465 | − | 1.02142i | ||||
\(746\) | 49834.7 | − | 169721.i | 0.000120037 | − | 0.000408809i | ||||
\(747\) | 1.60116e8 | − | 1.38742e8i | 0.384126 | − | 0.332847i | ||||
\(748\) | 5.29135e8 | + | 6.10654e8i | 1.26433 | + | 1.45912i | ||||
\(749\) | −5.43830e8 | − | 1.59683e8i | −1.29425 | − | 0.380026i | ||||
\(750\) | −1.10964e6 | − | 506757.i | −0.00263027 | − | 0.00120120i | ||||
\(751\) | 2.38361e8 | − | 3.70896e8i | 0.562749 | − | 0.875655i | −0.436967 | − | 0.899477i | \(-0.643947\pi\) |
0.999716 | + | 0.0238229i | \(0.00758378\pi\) | |||||||
\(752\) | 4.48533e7 | − | 1.31701e7i | 0.105473 | − | 0.0309697i | ||||
\(753\) | −2.07182e8 | − | 2.97882e7i | −0.485251 | − | 0.0697686i | ||||
\(754\) | −808506. | − | 1.77038e6i | −0.00188612 | − | 0.00413002i | ||||
\(755\) | 2.69889e8 | − | 3.88042e7i | 0.627111 | − | 0.0901650i | ||||
\(756\) | −7.47433e7 | − | 1.16303e8i | −0.172984 | − | 0.269169i | ||||
\(757\) | 1.97639e8 | + | 1.71255e8i | 0.455601 | + | 0.394780i | 0.852204 | − | 0.523210i | \(-0.175266\pi\) |
−0.396603 | + | 0.917990i | \(0.629811\pi\) | |||||||
\(758\) | 3.43815e6i | 0.00789436i | ||||||||
\(759\) | −2.96921e8 | + | 1.43704e8i | −0.679072 | + | 0.328657i | ||||
\(760\) | −4.75479e6 | −0.0108315 | ||||||||
\(761\) | −5.17370e8 | + | 5.97077e8i | −1.17394 | + | 1.35480i | −0.251883 | + | 0.967758i | \(0.581050\pi\) |
−0.922060 | + | 0.387046i | \(0.873496\pi\) | |||||||
\(762\) | 931300. | − | 598510.i | 0.00210487 | − | 0.00135272i | ||||
\(763\) | 1.21766e8 | + | 8.46899e8i | 0.274127 | + | 1.90659i | ||||
\(764\) | 2.36942e8 | − | 1.08208e8i | 0.531328 | − | 0.242649i | ||||
\(765\) | −2.47987e7 | + | 1.72479e8i | −0.0553917 | + | 0.385258i | ||||
\(766\) | 168138. | + | 572626.i | 0.000374093 | + | 0.00127404i | ||||
\(767\) | −1.72291e8 | − | 1.10725e8i | −0.381836 | − | 0.245391i | ||||
\(768\) | 1.08621e8 | − | 2.37846e8i | 0.239789 | − | 0.525065i | ||||
\(769\) | −1.61165e8 | + | 5.48879e8i | −0.354399 | + | 1.20697i | 0.568744 | + | 0.822515i | \(0.307430\pi\) |
−0.923143 | + | 0.384457i | \(0.874389\pi\) | |||||||
\(770\) | 2.72930e6 | − | 2.36495e6i | 0.00597833 | − | 0.00518025i | ||||
\(771\) | −8.19666e7 | − | 9.45945e7i | −0.178844 | − | 0.206397i | ||||
\(772\) | 4.18180e8 | + | 1.22789e8i | 0.908890 | + | 0.266874i | ||||
\(773\) | 3.81470e8 | + | 1.74212e8i | 0.825890 | + | 0.377171i | 0.783087 | − | 0.621912i | \(-0.213644\pi\) |
0.0428029 | + | 0.999084i | \(0.486371\pi\) | |||||||
\(774\) | −594697. | + | 925366.i | −0.00128255 | + | 0.00199568i | ||||
\(775\) | −2.30781e8 | + | 6.77634e7i | −0.495787 | + | 0.145576i | ||||
\(776\) | 4.61072e6 | + | 662922.i | 0.00986697 | + | 0.00141866i | ||||
\(777\) | 7.71071e7 | + | 1.68841e8i | 0.164373 | + | 0.359927i | ||||
\(778\) | 2.61776e6 | − | 376376.i | 0.00555892 | − | 0.000799252i | ||||
\(779\) | −2.80498e8 | − | 4.36464e8i | −0.593359 | − | 0.923285i | ||||
\(780\) | −1.18319e8 | − | 1.02524e8i | −0.249327 | − | 0.216043i | ||||
\(781\) | − | 8.58198e8i | − | 1.80150i | ||||||
\(782\) | −3.23204e6 | − | 391188.i | −0.00675859 | − | 0.000818023i | ||||
\(783\) | −1.25901e8 | −0.262268 | ||||||||
\(784\) | 5.56713e8 | − | 6.42481e8i | 1.15527 | − | 1.33325i | ||||
\(785\) | 1.46784e8 | − | 9.43324e7i | 0.303438 | − | 0.195008i | ||||
\(786\) | 86773.6 | + | 603524.i | 0.000178698 | + | 0.00124287i | ||||
\(787\) | 5.28803e8 | − | 2.41496e8i | 1.08485 | − | 0.495434i | 0.208950 | − | 0.977926i | \(-0.432995\pi\) |
0.875900 | + | 0.482492i | \(0.160268\pi\) | |||||||
\(788\) | 2.08781e7 | − | 1.45210e8i | 0.0426689 | − | 0.296769i | ||||
\(789\) | 1.37754e8 | + | 4.69149e8i | 0.280462 | + | 0.955167i | ||||
\(790\) | −1.58231e6 | − | 1.01689e6i | −0.00320930 | − | 0.00206249i | ||||
\(791\) | 5.00966e8 | − | 1.09696e9i | 1.01223 | − | 2.21647i | ||||
\(792\) | 561771. | − | 1.91322e6i | 0.00113080 | − | 0.00385114i | ||||
\(793\) | −2.29594e8 | + | 1.98945e8i | −0.460407 | + | 0.398945i | ||||
\(794\) | −151755. | − | 175135.i | −0.000303167 | − | 0.000349873i | ||||
\(795\) | 1.99136e8 | + | 5.84716e7i | 0.396322 | + | 0.116371i | ||||
\(796\) | −6.25261e7 | − | 2.85547e7i | −0.123972 | − | 0.0566159i | ||||
\(797\) | −1.79171e7 | + | 2.78795e7i | −0.0353909 | + | 0.0550694i | −0.858498 | − | 0.512816i | \(-0.828602\pi\) |
0.823107 | + | 0.567886i | \(0.192238\pi\) | |||||||
\(798\) | −3.20756e6 | + | 941824.i | −0.00631199 | + | 0.00185337i | ||||
\(799\) | −8.20107e7 | − | 1.17914e7i | −0.160779 | − | 0.0231166i | ||||
\(800\) | −1.10389e6 | − | 2.41719e6i | −0.00215604 | − | 0.00472108i | ||||
\(801\) | −1.36361e8 | + | 1.96058e7i | −0.265335 | + | 0.0381493i | ||||
\(802\) | 825967. | + | 1.28523e6i | 0.00160118 | + | 0.00249148i | ||||
\(803\) | 6.55312e8 | + | 5.67831e8i | 1.26561 | + | 1.09666i | ||||
\(804\) | 4.30354e8i | 0.828052i | ||||||||
\(805\) | 8.23565e7 | − | 6.80438e8i | 0.157874 | − | 1.30437i | ||||
\(806\) | 2.40060e6 | 0.00458473 | ||||||||
\(807\) | −2.12709e8 | + | 2.45479e8i | −0.404729 | + | 0.467082i | ||||
\(808\) | −2.62137e6 | + | 1.68465e6i | −0.00496929 | + | 0.00319357i | ||||
\(809\) | 9.85214e7 | + | 6.85231e8i | 0.186074 | + | 1.29417i | 0.842054 | + | 0.539393i | \(0.181346\pi\) |
−0.655980 | + | 0.754778i | \(0.727745\pi\) | |||||||
\(810\) | 195576. | − | 89316.5i | 0.000368010 | − | 0.000168065i | ||||
\(811\) | 8.24920e7 | − | 5.73745e8i | 0.154650 | − | 1.07561i | −0.753645 | − | 0.657282i | \(-0.771706\pi\) |
0.908295 | − | 0.418331i | \(-0.137385\pi\) | |||||||
\(812\) | −3.41753e8 | − | 1.16390e9i | −0.638328 | − | 2.17395i | ||||
\(813\) | 2.01561e8 | + | 1.29536e8i | 0.375090 | + | 0.241056i | ||||
\(814\) | −556056. | + | 1.21759e6i | −0.00103097 | + | 0.00225751i | ||||
\(815\) | 6.63506e7 | − | 2.25969e8i | 0.122567 | − | 0.417423i | ||||
\(816\) | −3.50273e8 | + | 3.03513e8i | −0.644668 | + | 0.558608i | ||||
\(817\) | −8.20467e8 | − | 9.46869e8i | −1.50451 | − | 1.73630i | ||||
\(818\) | −2.60433e6 | − | 764700.i | −0.00475813 | − | 0.00139711i | ||||
\(819\) | −2.00252e8 | − | 9.14522e7i | −0.364524 | − | 0.166472i | ||||
\(820\) | −1.73817e8 | + | 2.70464e8i | −0.315246 | + | 0.490533i | ||||
\(821\) | −3.53756e8 | + | 1.03872e8i | −0.639254 | + | 0.187702i | −0.585268 | − | 0.810840i | \(-0.699011\pi\) |
−0.0539861 | + | 0.998542i | \(0.517193\pi\) | |||||||
\(822\) | 1.45490e6 | + | 209183.i | 0.00261949 | + | 0.000376626i | ||||
\(823\) | −1.17547e8 | − | 2.57391e8i | −0.210868 | − | 0.461736i | 0.774413 | − | 0.632681i | \(-0.218045\pi\) |
−0.985281 | + | 0.170945i | \(0.945318\pi\) | |||||||
\(824\) | −900609. | + | 129488.i | −0.00160974 | + | 0.000231445i | ||||
\(825\) | 8.59972e7 | + | 1.33814e8i | 0.153152 | + | 0.238309i | ||||
\(826\) | 2.04801e6 | + | 1.77461e6i | 0.00363406 | + | 0.00314893i | ||||
\(827\) | 7.64274e8i | 1.35124i | 0.737250 | + | 0.675620i | \(0.236124\pi\) | ||||
−0.737250 | + | 0.675620i | \(0.763876\pi\) | |||||||
\(828\) | −8.24307e7 | − | 1.70318e8i | −0.145210 | − | 0.300034i | ||||
\(829\) | −1.95694e8 | −0.343490 | −0.171745 | − | 0.985141i | \(-0.554941\pi\) | ||||
−0.171745 | + | 0.985141i | \(0.554941\pi\) | |||||||
\(830\) | −2.07892e6 | + | 2.39920e6i | −0.00363583 | + | 0.00419597i | ||||
\(831\) | 4.53344e8 | − | 2.91346e8i | 0.789995 | − | 0.507699i | ||||
\(832\) | −5.92594e7 | − | 4.12158e8i | −0.102893 | − | 0.715639i | ||||
\(833\) | −1.37060e9 | + | 6.25930e8i | −2.37123 | + | 1.08291i | ||||
\(834\) | 8070.15 | − | 56129.1i | 1.39118e−5 | − | 9.67587e-5i | ||||
\(835\) | 1.29690e8 | + | 4.41683e8i | 0.222765 | + | 0.758667i | ||||
\(836\) | 9.55301e8 | + | 6.13934e8i | 1.63501 | + | 1.05076i | ||||
\(837\) | 6.45106e7 | − | 1.41258e8i | 0.110016 | − | 0.240901i | ||||
\(838\) | 164981. | − | 561872.i | 0.000280350 | − | 0.000954785i | ||||
\(839\) | −4.72885e8 | + | 4.09757e8i | −0.800699 | + | 0.693810i | −0.955777 | − | 0.294092i | \(-0.904983\pi\) |
0.155078 | + | 0.987902i | \(0.450437\pi\) | |||||||
\(840\) | 2.71317e6 | + | 3.13117e6i | 0.00457762 | + | 0.00528286i | ||||
\(841\) | −4.89218e8 | − | 1.43647e8i | −0.822460 | − | 0.241496i | ||||
\(842\) | −3.46983e6 | − | 1.58462e6i | −0.00581262 | − | 0.00265453i | ||||
\(843\) | 9.65077e6 | − | 1.50169e7i | 0.0161094 | − | 0.0250667i | ||||
\(844\) | −5.31027e8 | + | 1.55924e8i | −0.883261 | + | 0.259349i | ||||
\(845\) | 2.25187e8 | + | 3.23770e7i | 0.373227 | + | 0.0536620i | ||||
\(846\) | 42468.4 | + | 92992.9i | 7.01383e−5 | + | 0.000153581i | ||||
\(847\) | −7.07456e8 | + | 1.01717e8i | −1.16426 | + | 0.167395i | ||||
\(848\) | 2.98446e8 | + | 4.64392e8i | 0.489417 | + | 0.761547i | ||||
\(849\) | 1.08771e8 | + | 9.42509e7i | 0.177743 | + | 0.154015i | ||||
\(850\) | 1.56989e6i | 0.00255631i | ||||||||
\(851\) | 7.70023e7 | + | 2.42093e8i | 0.124944 | + | 0.392820i | ||||
\(852\) | 4.92275e8 | 0.795956 | ||||||||
\(853\) | −5.69410e8 | + | 6.57134e8i | −0.917441 | + | 1.05878i | 0.0806327 | + | 0.996744i | \(0.474306\pi\) |
−0.998074 | + | 0.0620395i | \(0.980240\pi\) | |||||||
\(854\) | 3.38165e6 | − | 2.17325e6i | 0.00542944 | − | 0.00348929i | ||||
\(855\) | 3.48518e7 | + | 2.42399e8i | 0.0557605 | + | 0.387823i | ||||
\(856\) | 4.26547e6 | − | 1.94797e6i | 0.00680057 | − | 0.00310572i | ||||
\(857\) | 3.60958e7 | − | 2.51052e8i | 0.0573475 | − | 0.398860i | −0.940849 | − | 0.338826i | \(-0.889970\pi\) |
0.998196 | − | 0.0600339i | \(-0.0191209\pi\) | |||||||
\(858\) | −447274. | − | 1.52327e6i | −0.000708128 | − | 0.00241166i | ||||
\(859\) | −3.18760e8 | − | 2.04855e8i | −0.502903 | − | 0.323196i | 0.264473 | − | 0.964393i | \(-0.414802\pi\) |
−0.767377 | + | 0.641197i | \(0.778438\pi\) | |||||||
\(860\) | −3.22519e8 | + | 7.06218e8i | −0.507061 | + | 1.11031i | ||||
\(861\) | −1.27367e8 | + | 4.33771e8i | −0.199548 | + | 0.679597i | ||||
\(862\) | 909552. | − | 788132.i | 0.00142006 | − | 0.00123049i | ||||
\(863\) | −2.96963e8 | − | 3.42714e8i | −0.462030 | − | 0.533211i | 0.476147 | − | 0.879366i | \(-0.342033\pi\) |
−0.938178 | + | 0.346154i | \(0.887487\pi\) | |||||||
\(864\) | 1.64618e6 | + | 483362.i | 0.00255233 | + | 0.000749431i | ||||
\(865\) | −3.70632e8 | − | 1.69262e8i | −0.572658 | − | 0.261524i | ||||
\(866\) | 1.57927e6 | − | 2.45740e6i | 0.00243166 | − | 0.00378374i | ||||
\(867\) | 4.27165e8 | − | 1.25427e8i | 0.655448 | − | 0.192457i | ||||
\(868\) | 1.48098e9 | + | 2.12933e8i | 2.26460 | + | 0.325600i | ||||
\(869\) | 3.73218e8 | + | 8.17234e8i | 0.568727 | + | 1.24534i | ||||
\(870\) | 1.86732e6 | − | 268480.i | 0.00283570 | − | 0.000407712i | ||||
\(871\) | 3.70496e8 | + | 5.76502e8i | 0.560697 | + | 0.872462i | ||||
\(872\) | −5.34973e6 | − | 4.63557e6i | −0.00806831 | − | 0.00699123i | ||||
\(873\) | − | 2.39914e8i | − | 0.360589i | ||||||
\(874\) | −4.51315e6 | + | 752201.i | −0.00675999 | + | 0.00112668i | ||||
\(875\) | −1.21071e9 | −1.80724 | ||||||||
\(876\) | −3.25716e8 | + | 3.75897e8i | −0.484537 | + | 0.559186i | ||||
\(877\) | −4.51925e8 | + | 2.90434e8i | −0.669989 | + | 0.430576i | −0.830921 | − | 0.556390i | \(-0.812186\pi\) |
0.160933 | + | 0.986965i | \(0.448550\pi\) | |||||||
\(878\) | 222403. | + | 1.54685e6i | 0.000328592 | + | 0.00228541i | ||||
\(879\) | −1.03832e8 | + | 4.74183e7i | −0.152884 | + | 0.0698199i | ||||
\(880\) | 1.00142e8 | − | 6.96502e8i | 0.146949 | − | 1.02205i | ||||
\(881\) | −8.19986e6 | − | 2.79262e7i | −0.0119916 | − | 0.0408398i | 0.953280 | − | 0.302089i | \(-0.0976839\pi\) |
−0.965271 | + | 0.261249i | \(0.915866\pi\) | |||||||
\(882\) | 1.56401e6 | + | 1.00513e6i | 0.00227948 | + | 0.00146493i | ||||
\(883\) | 3.72362e7 | − | 8.15359e7i | 0.0540858 | − | 0.118431i | −0.880660 | − | 0.473750i | \(-0.842900\pi\) |
0.934745 | + | 0.355318i | \(0.115627\pi\) | |||||||
\(884\) | −2.07933e8 | + | 7.08155e8i | −0.301000 | + | 1.02511i | ||||
\(885\) | 1.50029e8 | − | 1.30001e8i | 0.216444 | − | 0.187550i | ||||
\(886\) | 392228. | + | 452656.i | 0.000563946 | + | 0.000650829i | ||||
\(887\) | 1.00862e8 | + | 2.96159e7i | 0.144530 | + | 0.0424379i | 0.353197 | − | 0.935549i | \(-0.385094\pi\) |
−0.208667 | + | 0.977987i | \(0.566913\pi\) | |||||||
\(888\) | −1.39687e6 | − | 637931.i | −0.00199489 | − | 0.000911034i | ||||
\(889\) | 5.94011e8 | − | 9.24298e8i | 0.845452 | − | 1.31555i | ||||
\(890\) | 1.98065e6 | − | 581570.i | 0.00280955 | − | 0.000824959i | ||||
\(891\) | −1.01654e8 | − | 1.46156e7i | −0.143711 | − | 0.0206625i | ||||
\(892\) | 1.23182e8 | + | 2.69730e8i | 0.173561 | + | 0.380045i | ||||
\(893\) | −1.15257e8 | + | 1.65714e7i | −0.161850 | + | 0.0232705i | ||||
\(894\) | 1.46014e6 | + | 2.27203e6i | 0.00204354 | + | 0.00317981i | ||||
\(895\) | −2.29388e8 | − | 1.98766e8i | −0.319964 | − | 0.277250i | ||||
\(896\) | 2.20403e7i | 0.0306403i | ||||||||
\(897\) | −2.57053e8 | − | 1.57193e8i | −0.356160 | − | 0.217799i | ||||
\(898\) | 2.52285e6 | 0.00348388 | ||||||||
\(899\) | 8.92297e8 | − | 1.02977e9i | 1.22809 | − | 1.41729i | ||||
\(900\) | −7.67579e7 | + | 4.93293e7i | −0.105292 | + | 0.0676670i | ||||
\(901\) | −1.39242e8 | − | 9.68446e8i | −0.190368 | − | 1.32404i | ||||
\(902\) | −2.96558e6 | + | 1.35433e6i | −0.00404101 | + | 0.00184547i | ||||
\(903\) | −1.55367e8 | + | 1.08060e9i | −0.211007 | + | 1.46758i | ||||
\(904\) | 2.81088e6 | + | 9.57299e6i | 0.00380485 | + | 0.0129581i | ||||
\(905\) | −2.66059e8 | − | 1.70986e8i | −0.358949 | − | 0.230682i | ||||
\(906\) | −658858. | + | 1.44270e6i | −0.000885946 | + | 0.00193995i | ||||
\(907\) | −2.56864e7 | + | 8.74800e7i | −0.0344256 | + | 0.117243i | −0.974913 | − | 0.222585i | \(-0.928551\pi\) |
0.940488 | + | 0.339828i | \(0.110369\pi\) | |||||||
\(908\) | −9.78493e8 | + | 8.47869e8i | −1.30707 | + | 1.13259i | ||||
\(909\) | 1.05098e8 | + | 1.21289e8i | 0.139927 | + | 0.161485i | ||||
\(910\) | 3.16508e6 | + | 929351.i | 0.00420011 | + | 0.00123326i | ||||
\(911\) | −7.09532e8 | − | 3.24032e8i | −0.938462 | − | 0.428581i | −0.113353 | − | 0.993555i | \(-0.536159\pi\) |
−0.825109 | + | 0.564974i | \(0.808886\pi\) | |||||||
\(912\) | −3.52154e8 | + | 5.47963e8i | −0.464247 | + | 0.722382i | ||||
\(913\) | 1.45495e9 | − | 4.27211e8i | 1.91176 | − | 0.561345i | ||||
\(914\) | −784845. | − | 112844.i | −0.00102789 | − | 0.000147788i | ||||
\(915\) | −1.22328e8 | − | 2.67861e8i | −0.159684 | − | 0.349660i | ||||
\(916\) | 3.23122e8 | − | 4.64580e7i | 0.420417 | − | 0.0604469i | ||||
\(917\) | 3.27167e8 | + | 5.09081e8i | 0.424288 | + | 0.660206i | ||||
\(918\) | −766016. | − | 663757.i | −0.000990170 | − | 0.000857988i | ||||
\(919\) | − | 6.78222e8i | − | 0.873826i | −0.899504 | − | 0.436913i | \(-0.856072\pi\) | ||
0.899504 | − | 0.436913i | \(-0.143928\pi\) | |||||||
\(920\) | 3.17158e6 | + | 4.70067e6i | 0.00407298 | + | 0.00603665i | ||||
\(921\) | 1.10735e8 | 0.141745 | ||||||||
\(922\) | 1.86340e6 | − | 2.15048e6i | 0.00237747 | − | 0.00274374i | ||||
\(923\) | 6.59452e8 | − | 4.23804e8i | 0.838645 | − | 0.538964i | ||||
\(924\) | −1.40819e8 | − | 9.79417e8i | −0.178503 | − | 1.24151i | ||||
\(925\) | 1.11432e8 | − | 5.08893e7i | 0.140794 | − | 0.0642986i | ||||
\(926\) | −857872. | + | 5.96663e6i | −0.00108041 | + | 0.00751443i | ||||
\(927\) | 1.32026e7 | + | 4.49640e7i | 0.0165737 | + | 0.0564450i | ||||
\(928\) | 1.26641e7 | + | 8.13872e6i | 0.0158464 | + | 0.0101839i | ||||
\(929\) | 3.39166e8 | − | 7.42670e8i | 0.423024 | − | 0.926294i | −0.571383 | − | 0.820683i | \(-0.693593\pi\) |
0.994408 | − | 0.105611i | \(-0.0336798\pi\) | |||||||
\(930\) | −655566. | + | 2.23265e6i | −0.000815019 | + | 0.00277570i | ||||
\(931\) | −1.60036e9 | + | 1.38672e9i | −1.98321 | + | 1.71846i | ||||
\(932\) | −6.86086e8 | − | 7.91785e8i | −0.847482 | − | 0.978047i | ||||
\(933\) | −4.24691e8 | − | 1.24700e8i | −0.522911 | − | 0.153540i | ||||
\(934\) | −3.85713e6 | − | 1.76149e6i | −0.00473395 | − | 0.00216192i | ||||
\(935\) | −6.74272e8 | + | 1.04919e9i | −0.824898 | + | 1.28357i | ||||
\(936\) | 1.74756e6 | − | 513131.i | 0.00213111 | − | 0.000625750i | ||||
\(937\) | 1.06152e9 | + | 1.52624e8i | 1.29036 | + | 0.185525i | 0.753107 | − | 0.657898i | \(-0.228554\pi\) |
0.537249 | + | 0.843424i | \(0.319463\pi\) | |||||||
\(938\) | −3.76682e6 | − | 8.24819e6i | −0.00456422 | − | 0.00999424i | ||||
\(939\) | 8.01877e7 | − | 1.15292e7i | 0.0968525 | − | 0.0139253i | ||||
\(940\) | 3.90103e7 | + | 6.07013e7i | 0.0469674 | + | 0.0730826i | ||||
\(941\) | 3.91459e7 | + | 3.39201e7i | 0.0469804 | + | 0.0407088i | 0.678035 | − | 0.735030i | \(-0.262832\pi\) |
−0.631054 | + | 0.775739i | \(0.717377\pi\) | |||||||
\(942\) | 1.01492e6i | 0.00121417i | ||||||||
\(943\) | −2.44395e8 | + | 5.68440e8i | −0.291446 | + | 0.677875i | ||||
\(944\) | 5.28015e8 | 0.627669 | ||||||||
\(945\) | 1.39740e8 | − | 1.61269e8i | 0.165587 | − | 0.191097i | ||||
\(946\) | −6.62309e6 | + | 4.25640e6i | −0.00782325 | + | 0.00502770i | ||||
\(947\) | −1.16963e8 | − | 8.13497e8i | −0.137721 | − | 0.957869i | −0.935098 | − | 0.354388i | \(-0.884689\pi\) |
0.797377 | − | 0.603481i | \(-0.206220\pi\) | |||||||
\(948\) | −4.68777e8 | + | 2.14083e8i | −0.550227 | + | 0.251280i | ||||
\(949\) | −1.12717e8 | + | 7.83963e8i | −0.131884 | + | 0.917270i | ||||
\(950\) | 621587. | + | 2.11693e6i | 0.000724989 | + | 0.00246909i | ||||
\(951\) | −8.84748e7 | − | 5.68593e7i | −0.102868 | − | 0.0661089i | ||||
\(952\) | 8.11375e6 | − | 1.77666e7i | 0.00940396 | − | 0.0205918i | ||||
\(953\) | 3.67354e8 | − | 1.25109e9i | 0.424430 | − | 1.44548i | −0.418877 | − | 0.908043i | \(-0.637576\pi\) |
0.843307 | − | 0.537432i | \(-0.180606\pi\) | |||||||
\(954\) | −912361. | + | 790566.i | −0.00105080 | + | 0.000910527i | ||||
\(955\) | 2.63290e8 | + | 3.03853e8i | 0.302291 | + | 0.348862i | ||||
\(956\) | 6.27806e8 | + | 1.84341e8i | 0.718542 | + | 0.210983i | ||||
\(957\) | −8.19678e8 | − | 3.74335e8i | −0.935207 | − | 0.427095i | ||||
\(958\) | −2.11660e6 | + | 3.29349e6i | −0.00240736 | + | 0.00374593i | ||||
\(959\) | 1.39972e9 | − | 4.10994e8i | 1.58703 | − | 0.465993i | ||||
\(960\) | 3.99507e8 | + | 5.74404e7i | 0.451555 | + | 0.0649238i | ||||
\(961\) | 3.29487e8 | + | 7.21477e8i | 0.371252 | + | 0.812928i | ||||
\(962\) | −1.21021e6 | + | 174002.i | −0.00135937 | + | 0.000195448i | ||||
\(963\) | −1.30573e8 | − | 2.03175e8i | −0.146209 | − | 0.227506i | ||||
\(964\) | −6.01347e7 | − | 5.21070e7i | −0.0671265 | − | 0.0581655i | ||||
\(965\) | 6.72714e8i | 0.748598i | ||||||||
\(966\) | 3.07064e6 | + | 2.54283e6i | 0.00340641 | + | 0.00282088i | ||||
\(967\) | 1.74729e8 | 0.193235 | 0.0966175 | − | 0.995322i | \(-0.469198\pi\) | ||||
0.0966175 | + | 0.995322i | \(0.469198\pi\) | |||||||
\(968\) | 3.87231e6 | − | 4.46889e6i | 0.00426918 | − | 0.00492690i | ||||
\(969\) | 9.71208e8 | − | 6.24157e8i | 1.06743 | − | 0.685998i | ||||
\(970\) | 511607. | + | 3.55831e6i | 0.000560559 | + | 0.00389877i | ||||
\(971\) | 3.82383e8 | − | 1.74629e8i | 0.417678 | − | 0.190747i | −0.195480 | − | 0.980708i | \(-0.562626\pi\) |
0.613157 | + | 0.789961i | \(0.289899\pi\) | |||||||
\(972\) | 8.38372e6 | − | 5.83100e7i | 0.00912931 | − | 0.0634957i | ||||
\(973\) | −1.58559e7 | − | 5.40003e7i | −0.0172129 | − | 0.0586216i | ||||
\(974\) | −390396. | − | 250893.i | −0.000422502 | − | 0.000271526i | ||||
\(975\) | −6.03568e7 | + | 1.32163e8i | −0.0651197 | + | 0.142592i | ||||
\(976\) | 2.20663e8 | − | 7.51511e8i | 0.237345 | − | 0.808324i | ||||
\(977\) | −1.67187e8 | + | 1.44868e8i | −0.179274 | + | 0.155342i | −0.739875 | − | 0.672744i | \(-0.765116\pi\) |
0.560601 | + | 0.828086i | \(0.310570\pi\) | |||||||
\(978\) | 897094. | + | 1.03530e6i | 0.000959006 | + | 0.00110675i | ||||
\(979\) | −9.46070e8 | − | 2.77791e8i | −1.00827 | − | 0.296054i | ||||
\(980\) | 1.19362e9 | + | 5.45108e8i | 1.26820 | + | 0.579168i | ||||
\(981\) | −1.97109e8 | + | 3.06707e8i | −0.208785 | + | 0.324876i | ||||
\(982\) | −4.20288e6 | + | 1.23408e6i | −0.00443826 | + | 0.00130319i | ||||
\(983\) | −1.58774e9 | − | 2.28283e8i | −1.67155 | − | 0.240333i | −0.759529 | − | 0.650473i | \(-0.774571\pi\) |
−0.912023 | + | 0.410140i | \(0.865480\pi\) | |||||||
\(984\) | −1.55375e6 | − | 3.40223e6i | −0.00163078 | − | 0.00357091i | ||||
\(985\) | 2.24133e8 | − | 3.22255e7i | 0.234529 | − | 0.0337202i | ||||
\(986\) | −4.80818e6 | − | 7.48167e6i | −0.00501591 | − | 0.00780491i | ||||
\(987\) | 7.66805e7 | + | 6.64440e7i | 0.0797505 | + | 0.0691042i | ||||
\(988\) | 1.03725e9i | 1.07550i | ||||||||
\(989\) | −3.88816e8 | + | 1.44272e9i | −0.401935 | + | 1.49139i | ||||
\(990\) | 1.53885e6 | 0.00158596 | ||||||||
\(991\) | 9.57910e8 | − | 1.10549e9i | 0.984247 | − | 1.13588i | −0.00647574 | − | 0.999979i | \(-0.502061\pi\) |
0.990722 | − | 0.135902i | \(-0.0433932\pi\) | |||||||
\(992\) | −1.56204e7 | + | 1.00386e7i | −0.0160014 | + | 0.0102835i | ||||
\(993\) | 1.17663e8 | + | 8.18366e8i | 0.120169 | + | 0.835795i | ||||
\(994\) | −9.43497e6 | + | 4.30881e6i | −0.00960686 | + | 0.00438731i | ||||
\(995\) | 1.50992e7 | − | 1.05017e8i | 0.0153280 | − | 0.106609i | ||||
\(996\) | 2.45054e8 | + | 8.34578e8i | 0.248019 | + | 0.844674i | ||||
\(997\) | 3.43958e7 | + | 2.21048e7i | 0.0347072 | + | 0.0223050i | 0.557879 | − | 0.829922i | \(-0.311615\pi\) |
−0.523172 | + | 0.852227i | \(0.675252\pi\) | |||||||
\(998\) | 917043. | − | 2.00804e6i | 0.000922567 | − | 0.00202014i | ||||
\(999\) | −2.22829e7 | + | 7.58886e7i | −0.0223499 | + | 0.0761168i |
(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 | 69.7.f.a.7.12 | ✓ | 240 | |
23.10 | odd | 22 | inner | 69.7.f.a.10.12 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.7.f.a.7.12 | ✓ | 240 | 1.1 | even | 1 | trivial | |
69.7.f.a.10.12 | yes | 240 | 23.10 | odd | 22 | inner |