Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,7,Mod(3,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.3");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.h (of order \(42\), degree \(12\), 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: | \(9.89232559565\) |
Analytic rank: | \(0\) |
Dimension: | \(252\) |
Relative dimension: | \(21\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 29.4 | ||
Character | \(\chi\) | \(=\) | 43.29 |
Dual form | 43.7.h.a.3.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{41}{42}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −4.58142 | − | 9.51343i | −0.572678 | − | 1.18918i | −0.963250 | − | 0.268606i | \(-0.913437\pi\) |
0.390572 | − | 0.920572i | \(-0.372277\pi\) | |||||||
\(3\) | −35.2682 | + | 2.64299i | −1.30623 | + | 0.0978884i | −0.709587 | − | 0.704618i | \(-0.751118\pi\) |
−0.596643 | + | 0.802506i | \(0.703499\pi\) | |||||||
\(4\) | −29.6125 | + | 37.1329i | −0.462695 | + | 0.580201i | ||||
\(5\) | 22.3499 | + | 72.4567i | 0.178800 | + | 0.579654i | 0.999960 | + | 0.00895630i | \(0.00285092\pi\) |
−0.821160 | + | 0.570698i | \(0.806673\pi\) | |||||||
\(6\) | 186.723 | + | 323.413i | 0.864456 | + | 1.49728i | ||||
\(7\) | 336.875 | + | 194.495i | 0.982144 | + | 0.567041i | 0.902917 | − | 0.429815i | \(-0.141421\pi\) |
0.0792272 | + | 0.996857i | \(0.474755\pi\) | |||||||
\(8\) | −169.911 | − | 38.7811i | −0.331858 | − | 0.0757444i | ||||
\(9\) | 516.004 | − | 77.7751i | 0.707825 | − | 0.106687i | ||||
\(10\) | 586.917 | − | 544.580i | 0.586917 | − | 0.544580i | ||||
\(11\) | −313.422 | − | 393.019i | −0.235479 | − | 0.295281i | 0.650025 | − | 0.759913i | \(-0.274758\pi\) |
−0.885504 | + | 0.464631i | \(0.846187\pi\) | |||||||
\(12\) | 946.238 | − | 1387.88i | 0.547591 | − | 0.803169i | ||||
\(13\) | −241.920 | − | 224.469i | −0.110114 | − | 0.102171i | 0.623195 | − | 0.782067i | \(-0.285834\pi\) |
−0.733309 | + | 0.679896i | \(0.762025\pi\) | |||||||
\(14\) | 306.946 | − | 4095.90i | 0.111861 | − | 1.49268i | ||||
\(15\) | −979.745 | − | 2496.35i | −0.290295 | − | 0.739659i | ||||
\(16\) | 1085.88 | + | 4757.56i | 0.265108 | + | 1.16151i | ||||
\(17\) | 1982.76 | + | 611.602i | 0.403575 | + | 0.124486i | 0.489896 | − | 0.871781i | \(-0.337035\pi\) |
−0.0863207 | + | 0.996267i | \(0.527511\pi\) | |||||||
\(18\) | −3103.94 | − | 4552.65i | −0.532226 | − | 0.780632i | ||||
\(19\) | 1101.49 | − | 7307.89i | 0.160590 | − | 1.06544i | −0.752768 | − | 0.658286i | \(-0.771282\pi\) |
0.913358 | − | 0.407158i | \(-0.133480\pi\) | |||||||
\(20\) | −3352.36 | − | 1315.71i | −0.419046 | − | 0.164463i | ||||
\(21\) | −12395.0 | − | 5969.14i | −1.33841 | − | 0.644546i | ||||
\(22\) | −2303.04 | + | 4782.31i | −0.216288 | + | 0.449127i | ||||
\(23\) | 2320.49 | − | 5912.50i | 0.190720 | − | 0.485946i | −0.803245 | − | 0.595649i | \(-0.796895\pi\) |
0.993964 | + | 0.109704i | \(0.0349901\pi\) | |||||||
\(24\) | 6094.97 | + | 918.668i | 0.440897 | + | 0.0664546i | ||||
\(25\) | 8159.52 | − | 5563.07i | 0.522210 | − | 0.356036i | ||||
\(26\) | −1027.13 | + | 3329.88i | −0.0584395 | + | 0.189456i | ||||
\(27\) | 7143.21 | − | 1630.39i | 0.362913 | − | 0.0828325i | ||||
\(28\) | −17197.9 | + | 6749.67i | −0.783431 | + | 0.307474i | ||||
\(29\) | 10814.3 | + | 810.421i | 0.443410 | + | 0.0332290i | 0.294565 | − | 0.955632i | \(-0.404825\pi\) |
0.148845 | + | 0.988861i | \(0.452444\pi\) | |||||||
\(30\) | −19260.2 | + | 20757.6i | −0.713341 | + | 0.768799i | ||||
\(31\) | 31001.5 | + | 21136.5i | 1.04063 | + | 0.709492i | 0.957907 | − | 0.287080i | \(-0.0926846\pi\) |
0.0827273 | + | 0.996572i | \(0.473637\pi\) | |||||||
\(32\) | 31565.3 | − | 25172.5i | 0.963297 | − | 0.768204i | ||||
\(33\) | 12092.6 | + | 13032.7i | 0.336494 | + | 0.362654i | ||||
\(34\) | −3265.46 | − | 21664.9i | −0.0830821 | − | 0.551214i | ||||
\(35\) | −6563.33 | + | 28755.8i | −0.153081 | + | 0.670690i | ||||
\(36\) | −12392.2 | + | 21463.8i | −0.265607 | + | 0.460044i | ||||
\(37\) | 34759.8 | − | 20068.6i | 0.686233 | − | 0.396197i | −0.115966 | − | 0.993253i | \(-0.536996\pi\) |
0.802199 | + | 0.597056i | \(0.203663\pi\) | |||||||
\(38\) | −74569.4 | + | 23001.6i | −1.35897 | + | 0.419187i | ||||
\(39\) | 9125.37 | + | 7277.24i | 0.153836 | + | 0.122680i | ||||
\(40\) | −987.552 | − | 13178.0i | −0.0154305 | − | 0.205906i | ||||
\(41\) | −56214.1 | + | 27071.3i | −0.815631 | + | 0.392787i | −0.794706 | − | 0.606994i | \(-0.792375\pi\) |
−0.0209244 | + | 0.999781i | \(0.506661\pi\) | |||||||
\(42\) | 145266.i | 1.96073i | ||||||||
\(43\) | 79469.1 | + | 2455.33i | 0.999523 | + | 0.0308819i | ||||
\(44\) | 23875.1 | 0.280277 | ||||||||
\(45\) | 17168.0 | + | 35649.7i | 0.188400 | + | 0.391218i | ||||
\(46\) | −66879.3 | + | 5011.91i | −0.687097 | + | 0.0514908i | ||||
\(47\) | −59508.1 | + | 74620.8i | −0.573169 | + | 0.718731i | −0.980931 | − | 0.194358i | \(-0.937738\pi\) |
0.407762 | + | 0.913088i | \(0.366309\pi\) | |||||||
\(48\) | −50871.3 | − | 164921.i | −0.459991 | − | 1.49125i | ||||
\(49\) | 16832.2 | + | 29154.2i | 0.143071 | + | 0.247807i | ||||
\(50\) | −90306.1 | − | 52138.2i | −0.722449 | − | 0.417106i | ||||
\(51\) | −71545.0 | − | 16329.7i | −0.539348 | − | 0.123103i | ||||
\(52\) | 15499.1 | − | 2336.11i | 0.110229 | − | 0.0166143i | ||||
\(53\) | 129180. | − | 119862.i | 0.867697 | − | 0.805105i | −0.114409 | − | 0.993434i | \(-0.536498\pi\) |
0.982106 | + | 0.188329i | \(0.0603071\pi\) | |||||||
\(54\) | −48236.7 | − | 60486.9i | −0.306335 | − | 0.384132i | ||||
\(55\) | 21471.9 | − | 31493.5i | 0.129057 | − | 0.189292i | ||||
\(56\) | −49696.2 | − | 46111.3i | −0.282982 | − | 0.262569i | ||||
\(57\) | −19532.8 | + | 260647.i | −0.105473 | + | 1.40744i | ||||
\(58\) | −41835.1 | − | 106594.i | −0.214416 | − | 0.546323i | ||||
\(59\) | −18735.5 | − | 82085.5i | −0.0912239 | − | 0.399678i | 0.908615 | − | 0.417635i | \(-0.137141\pi\) |
−0.999839 | + | 0.0179570i | \(0.994284\pi\) | |||||||
\(60\) | 121709. | + | 37542.3i | 0.563469 | + | 0.173807i | ||||
\(61\) | −26534.6 | − | 38919.2i | −0.116903 | − | 0.171464i | 0.763328 | − | 0.646012i | \(-0.223564\pi\) |
−0.880230 | + | 0.474547i | \(0.842612\pi\) | |||||||
\(62\) | 59049.2 | − | 391766.i | 0.247764 | − | 1.64381i | ||||
\(63\) | 188956. | + | 74159.8i | 0.755682 | + | 0.296583i | ||||
\(64\) | −102705. | − | 49460.2i | −0.391789 | − | 0.188676i | ||||
\(65\) | 10857.4 | − | 22545.6i | 0.0395354 | − | 0.0820961i | ||||
\(66\) | 68584.5 | − | 174750.i | 0.238558 | − | 0.607836i | ||||
\(67\) | 586444. | + | 88392.3i | 1.94986 | + | 0.293893i | 0.999833 | − | 0.0182884i | \(-0.00582169\pi\) |
0.950022 | + | 0.312182i | \(0.101060\pi\) | |||||||
\(68\) | −81425.1 | + | 55514.7i | −0.258959 | + | 0.176556i | ||||
\(69\) | −66212.7 | + | 214656.i | −0.201555 | + | 0.653426i | ||||
\(70\) | 303636. | − | 69302.9i | 0.885236 | − | 0.202049i | ||||
\(71\) | 374715. | − | 147065.i | 1.04695 | − | 0.410897i | 0.221374 | − | 0.975189i | \(-0.428946\pi\) |
0.825575 | + | 0.564292i | \(0.190851\pi\) | |||||||
\(72\) | −90691.1 | − | 6796.36i | −0.242978 | − | 0.0182087i | ||||
\(73\) | −207544. | + | 223679.i | −0.533508 | + | 0.574985i | −0.941078 | − | 0.338189i | \(-0.890186\pi\) |
0.407570 | + | 0.913174i | \(0.366376\pi\) | |||||||
\(74\) | −350170. | − | 238742.i | −0.864139 | − | 0.589160i | ||||
\(75\) | −273069. | + | 217765.i | −0.647274 | + | 0.516184i | ||||
\(76\) | 238745. | + | 257306.i | 0.543868 | + | 0.586151i | ||||
\(77\) | −29144.0 | − | 193358.i | −0.0638376 | − | 0.423535i | ||||
\(78\) | 27424.3 | − | 120154.i | 0.0577898 | − | 0.253194i | ||||
\(79\) | −142299. | + | 246469.i | −0.288616 | + | 0.499898i | −0.973480 | − | 0.228773i | \(-0.926529\pi\) |
0.684863 | + | 0.728672i | \(0.259862\pi\) | |||||||
\(80\) | −320448. | + | 185011.i | −0.625875 | + | 0.361349i | ||||
\(81\) | −611134. | + | 188510.i | −1.14996 | + | 0.354715i | ||||
\(82\) | 515081. | + | 410764.i | 0.934188 | + | 0.744990i | ||||
\(83\) | −32481.6 | − | 433436.i | −0.0568071 | − | 0.758038i | −0.950770 | − | 0.309897i | \(-0.899705\pi\) |
0.893963 | − | 0.448141i | \(-0.147914\pi\) | |||||||
\(84\) | 588699. | − | 283503.i | 0.993243 | − | 0.478321i | ||||
\(85\) | 157334.i | 0.256192i | ||||||||
\(86\) | −340723. | − | 767272.i | −0.535681 | − | 1.20630i | ||||
\(87\) | −383544. | −0.582448 | ||||||||
\(88\) | 38012.3 | + | 78933.3i | 0.0557796 | + | 0.115828i | ||||
\(89\) | −868879. | + | 65113.5i | −1.23251 | + | 0.0923636i | −0.675006 | − | 0.737812i | \(-0.735859\pi\) |
−0.557501 | + | 0.830176i | \(0.688240\pi\) | |||||||
\(90\) | 260497. | − | 326653.i | 0.357335 | − | 0.448083i | ||||
\(91\) | −37838.8 | − | 122671.i | −0.0502127 | − | 0.162786i | ||||
\(92\) | 150833. | + | 261250.i | 0.193701 | + | 0.335500i | ||||
\(93\) | −1.14923e6 | − | 663509.i | −1.42876 | − | 0.824894i | ||||
\(94\) | 982531. | + | 224256.i | 1.18294 | + | 0.269998i | ||||
\(95\) | 554124. | − | 83520.7i | 0.646303 | − | 0.0974144i | ||||
\(96\) | −1.04672e6 | + | 971216.i | −1.18309 | + | 1.09775i | ||||
\(97\) | 275920. | + | 345992.i | 0.302320 | + | 0.379098i | 0.909666 | − | 0.415340i | \(-0.136337\pi\) |
−0.607346 | + | 0.794437i | \(0.707766\pi\) | |||||||
\(98\) | 200241. | − | 293700.i | 0.212753 | − | 0.312051i | ||||
\(99\) | −192294. | − | 178423.i | −0.198180 | − | 0.183885i | ||||
\(100\) | −35051.0 | + | 467723.i | −0.0350510 | + | 0.467723i | ||||
\(101\) | −79192.0 | − | 201778.i | −0.0768630 | − | 0.195844i | 0.887278 | − | 0.461236i | \(-0.152594\pi\) |
−0.964141 | + | 0.265392i | \(0.914499\pi\) | |||||||
\(102\) | 172427. | + | 755452.i | 0.162482 | + | 0.711879i | ||||
\(103\) | 1.53293e6 | + | 472848.i | 1.40285 | + | 0.432723i | 0.901597 | − | 0.432577i | \(-0.142396\pi\) |
0.501255 | + | 0.865300i | \(0.332872\pi\) | |||||||
\(104\) | 32399.8 | + | 47521.8i | 0.0288033 | + | 0.0422467i | ||||
\(105\) | 155476. | − | 1.03151e6i | 0.134306 | − | 0.891061i | ||||
\(106\) | −1.73212e6 | − | 679808.i | −1.45432 | − | 0.570780i | ||||
\(107\) | 1.70514e6 | + | 821152.i | 1.39190 | + | 0.670305i | 0.971502 | − | 0.237033i | \(-0.0761750\pi\) |
0.420401 | + | 0.907338i | \(0.361889\pi\) | |||||||
\(108\) | −150987. | + | 313528.i | −0.119858 | + | 0.248889i | ||||
\(109\) | −918407. | + | 2.34006e6i | −0.709179 | + | 1.80696i | −0.130422 | + | 0.991459i | \(0.541633\pi\) |
−0.578757 | + | 0.815500i | \(0.696462\pi\) | |||||||
\(110\) | −397983. | − | 59986.3i | −0.299011 | − | 0.0450686i | ||||
\(111\) | −1.17287e6 | + | 799652.i | −0.857595 | + | 0.584698i | ||||
\(112\) | −559516. | + | 1.81390e6i | −0.398252 | + | 1.29110i | ||||
\(113\) | 940626. | − | 214692.i | 0.651901 | − | 0.148792i | 0.116235 | − | 0.993222i | \(-0.462918\pi\) |
0.535667 | + | 0.844430i | \(0.320060\pi\) | |||||||
\(114\) | 2.56914e6 | − | 1.00831e6i | 1.73409 | − | 0.680582i | ||||
\(115\) | 480263. | + | 35990.7i | 0.315781 | + | 0.0236645i | ||||
\(116\) | −350332. | + | 377568.i | −0.224443 | + | 0.241892i | ||||
\(117\) | −142290. | − | 97011.7i | −0.0888417 | − | 0.0605713i | ||||
\(118\) | −695079. | + | 554307.i | −0.423047 | + | 0.337368i | ||||
\(119\) | 548991. | + | 591672.i | 0.325780 | + | 0.351107i | ||||
\(120\) | 69658.4 | + | 462153.i | 0.0403116 | + | 0.267450i | ||||
\(121\) | 337979. | − | 1.48078e6i | 0.190780 | − | 0.835863i | ||||
\(122\) | −248688. | + | 430741.i | −0.136954 | + | 0.237212i | ||||
\(123\) | 1.91102e6 | − | 1.10333e6i | 1.02695 | − | 0.592911i | ||||
\(124\) | −1.70289e6 | + | 525272.i | −0.893144 | + | 0.275499i | ||||
\(125\) | 1.51174e6 | + | 1.20557e6i | 0.774010 | + | 0.617253i | ||||
\(126\) | −160174. | − | 2.13738e6i | −0.0800720 | − | 1.06849i | ||||
\(127\) | 591420. | − | 284813.i | 0.288725 | − | 0.139043i | −0.283915 | − | 0.958849i | \(-0.591633\pi\) |
0.572640 | + | 0.819807i | \(0.305919\pi\) | |||||||
\(128\) | − | 1.38023e6i | − | 0.658145i | ||||||
\(129\) | −2.80922e6 | + | 123441.i | −1.30863 | + | 0.0575028i | ||||
\(130\) | −264229. | −0.120268 | ||||||||
\(131\) | −428776. | − | 890363.i | −0.190729 | − | 0.396053i | 0.783573 | − | 0.621300i | \(-0.213395\pi\) |
−0.974302 | + | 0.225247i | \(0.927681\pi\) | |||||||
\(132\) | −842034. | + | 63101.7i | −0.366107 | + | 0.0274359i | ||||
\(133\) | 1.79241e6 | − | 2.24761e6i | 0.761874 | − | 0.955359i | ||||
\(134\) | −1.84584e6 | − | 5.98406e6i | −0.767148 | − | 2.48703i | ||||
\(135\) | 277783. | + | 481135.i | 0.112903 | + | 0.195553i | ||||
\(136\) | −313175. | − | 180812.i | −0.124500 | − | 0.0718804i | ||||
\(137\) | −2.77524e6 | − | 633431.i | −1.07929 | − | 0.246342i | −0.354324 | − | 0.935123i | \(-0.615289\pi\) |
−0.724969 | + | 0.688781i | \(0.758146\pi\) | |||||||
\(138\) | 2.34547e6 | − | 353522.i | 0.892466 | − | 0.134518i | ||||
\(139\) | 2.96279e6 | − | 2.74907e6i | 1.10321 | − | 1.02363i | 0.103626 | − | 0.994616i | \(-0.466955\pi\) |
0.999579 | − | 0.0290089i | \(-0.00923512\pi\) | |||||||
\(140\) | −873431. | − | 1.09525e6i | −0.318306 | − | 0.399143i | ||||
\(141\) | 1.90152e6 | − | 2.78902e6i | 0.678335 | − | 0.994934i | ||||
\(142\) | −3.11581e6 | − | 2.89105e6i | −1.08819 | − | 1.00970i | ||||
\(143\) | −12397.5 | + | 165433.i | −0.00423961 | + | 0.0565736i | ||||
\(144\) | 930340. | + | 2.37047e6i | 0.311569 | + | 0.793865i | ||||
\(145\) | 182979. | + | 801683.i | 0.0600202 | + | 0.262965i | ||||
\(146\) | 3.07880e6 | + | 949684.i | 0.989288 | + | 0.305155i | ||||
\(147\) | −670695. | − | 983729.i | −0.211141 | − | 0.309687i | ||||
\(148\) | −284119. | + | 1.88501e6i | −0.0876427 | + | 0.581471i | ||||
\(149\) | −3.37348e6 | − | 1.32399e6i | −1.01981 | − | 0.400246i | −0.204250 | − | 0.978919i | \(-0.565475\pi\) |
−0.815560 | + | 0.578673i | \(0.803571\pi\) | |||||||
\(150\) | 3.32274e6 | + | 1.60015e6i | 0.984514 | + | 0.474117i | ||||
\(151\) | −1.45762e6 | + | 3.02678e6i | −0.423364 | + | 0.879124i | 0.574785 | + | 0.818304i | \(0.305086\pi\) |
−0.998149 | + | 0.0608195i | \(0.980629\pi\) | |||||||
\(152\) | −470563. | + | 1.19898e6i | −0.133995 | + | 0.341413i | ||||
\(153\) | 1.07068e6 | + | 161379.i | 0.298942 | + | 0.0450582i | ||||
\(154\) | −1.70597e6 | + | 1.16311e6i | −0.467100 | + | 0.318463i | ||||
\(155\) | −838598. | + | 2.71867e6i | −0.225195 | + | 0.730064i | ||||
\(156\) | −540450. | + | 123354.i | −0.142358 | + | 0.0324923i | ||||
\(157\) | −4.93713e6 | + | 1.93768e6i | −1.27578 | + | 0.500706i | −0.903967 | − | 0.427602i | \(-0.859359\pi\) |
−0.371812 | + | 0.928308i | \(0.621263\pi\) | |||||||
\(158\) | 2.99670e6 | + | 224572.i | 0.759752 | + | 0.0569356i | ||||
\(159\) | −4.23916e6 | + | 4.56873e6i | −1.05460 | + | 1.13659i | ||||
\(160\) | 2.52940e6 | + | 1.72452e6i | 0.617529 | + | 0.421024i | ||||
\(161\) | 1.93167e6 | − | 1.54045e6i | 0.462865 | − | 0.369123i | ||||
\(162\) | 4.59324e6 | + | 4.95034e6i | 1.08037 | + | 1.16437i | ||||
\(163\) | −571735. | − | 3.79321e6i | −0.132018 | − | 0.875879i | −0.952572 | − | 0.304312i | \(-0.901574\pi\) |
0.820555 | − | 0.571568i | \(-0.193665\pi\) | |||||||
\(164\) | 659404. | − | 2.88904e6i | 0.149493 | − | 0.654971i | ||||
\(165\) | −674039. | + | 1.16747e6i | −0.150049 | + | 0.259893i | ||||
\(166\) | −3.97465e6 | + | 2.29477e6i | −0.868910 | + | 0.501666i | ||||
\(167\) | −3.32488e6 | + | 1.02559e6i | −0.713881 | + | 0.220203i | −0.630360 | − | 0.776303i | \(-0.717093\pi\) |
−0.0835211 | + | 0.996506i | \(0.526617\pi\) | |||||||
\(168\) | 1.87457e6 | + | 1.49492e6i | 0.395342 | + | 0.315275i | ||||
\(169\) | −352569. | − | 4.70470e6i | −0.0730439 | − | 0.974703i | ||||
\(170\) | 1.49678e6 | − | 720814.i | 0.304658 | − | 0.146716i | ||||
\(171\) | − | 3.85657e6i | − | 0.771281i | ||||||
\(172\) | −2.44445e6 | + | 2.87821e6i | −0.480392 | + | 0.565636i | ||||
\(173\) | 6.57606e6 | 1.27007 | 0.635034 | − | 0.772484i | \(-0.280986\pi\) | ||||
0.635034 | + | 0.772484i | \(0.280986\pi\) | |||||||
\(174\) | 1.75718e6 | + | 3.64882e6i | 0.333555 | + | 0.692635i | ||||
\(175\) | 3.83073e6 | − | 287074.i | 0.714772 | − | 0.0535648i | ||||
\(176\) | 1.52947e6 | − | 1.91790e6i | 0.280546 | − | 0.351793i | ||||
\(177\) | 877718. | + | 2.84549e6i | 0.158283 | + | 0.513142i | ||||
\(178\) | 4.60016e6 | + | 7.96771e6i | 0.815667 | + | 1.41278i | ||||
\(179\) | −7.19667e6 | − | 4.15500e6i | −1.25479 | − | 0.724456i | −0.282737 | − | 0.959198i | \(-0.591242\pi\) |
−0.972058 | + | 0.234742i | \(0.924576\pi\) | |||||||
\(180\) | −1.83216e6 | − | 418179.i | −0.314157 | − | 0.0717043i | ||||
\(181\) | 5.45027e6 | − | 821496.i | 0.919141 | − | 0.138538i | 0.327603 | − | 0.944815i | \(-0.393759\pi\) |
0.591538 | + | 0.806277i | \(0.298521\pi\) | |||||||
\(182\) | −993661. | + | 921983.i | −0.164825 | + | 0.152936i | ||||
\(183\) | 1.03869e6 | + | 1.30248e6i | 0.169486 | + | 0.212529i | ||||
\(184\) | −623570. | + | 914609.i | −0.100099 | + | 0.146819i | ||||
\(185\) | 2.23098e6 | + | 2.07005e6i | 0.352355 | + | 0.326938i | ||||
\(186\) | −1.04713e6 | + | 1.39730e7i | −0.162728 | + | 2.17145i | ||||
\(187\) | −381071. | − | 970954.i | −0.0582749 | − | 0.148482i | ||||
\(188\) | −1.00870e6 | − | 4.41941e6i | −0.151806 | − | 0.665106i | ||||
\(189\) | 2.72348e6 | + | 840081.i | 0.403402 | + | 0.124433i | ||||
\(190\) | −3.33324e6 | − | 4.88897e6i | −0.485966 | − | 0.712782i | ||||
\(191\) | 1.07787e6 | − | 7.15119e6i | 0.154691 | − | 1.02631i | −0.767911 | − | 0.640556i | \(-0.778704\pi\) |
0.922602 | − | 0.385753i | \(-0.126058\pi\) | |||||||
\(192\) | 3.75295e6 | + | 1.47293e6i | 0.530236 | + | 0.208102i | ||||
\(193\) | −6.55369e6 | − | 3.15609e6i | −0.911620 | − | 0.439013i | −0.0815484 | − | 0.996669i | \(-0.525987\pi\) |
−0.830072 | + | 0.557656i | \(0.811701\pi\) | |||||||
\(194\) | 2.02747e6 | − | 4.21008e6i | 0.277683 | − | 0.576614i | ||||
\(195\) | −323333. | + | 823840.i | −0.0436061 | + | 0.111106i | ||||
\(196\) | −1.58102e6 | − | 238301.i | −0.209976 | − | 0.0316488i | ||||
\(197\) | −1.25066e6 | + | 852682.i | −0.163583 | + | 0.111529i | −0.642345 | − | 0.766416i | \(-0.722038\pi\) |
0.478761 | + | 0.877945i | \(0.341086\pi\) | |||||||
\(198\) | −816433. | + | 2.64681e6i | −0.105178 | + | 0.340979i | ||||
\(199\) | −5.82859e6 | + | 1.33034e6i | −0.739612 | + | 0.168812i | −0.575698 | − | 0.817663i | \(-0.695269\pi\) |
−0.163915 | + | 0.986474i | \(0.552412\pi\) | |||||||
\(200\) | −1.60214e6 | + | 628792.i | −0.200267 | + | 0.0785991i | ||||
\(201\) | −2.09165e7 | − | 1.56747e6i | −2.57573 | − | 0.193024i | ||||
\(202\) | −1.55679e6 | + | 1.67782e6i | −0.188875 | + | 0.203559i | ||||
\(203\) | 3.48546e6 | + | 2.37634e6i | 0.416650 | + | 0.284067i | ||||
\(204\) | 2.72499e6 | − | 2.17311e6i | 0.320978 | − | 0.255971i | ||||
\(205\) | −3.21788e6 | − | 3.46805e6i | −0.373515 | − | 0.402553i | ||||
\(206\) | −2.52462e6 | − | 1.67498e7i | −0.288798 | − | 1.91605i | ||||
\(207\) | 737535. | − | 3.23135e6i | 0.0831518 | − | 0.364312i | ||||
\(208\) | 805230. | − | 1.39470e6i | 0.0894808 | − | 0.154985i | ||||
\(209\) | −3.21737e6 | + | 1.85755e6i | −0.352421 | + | 0.203471i | ||||
\(210\) | −1.05255e7 | + | 3.24670e6i | −1.13654 | + | 0.350577i | ||||
\(211\) | 4.49110e6 | + | 3.58153e6i | 0.478085 | + | 0.381260i | 0.832675 | − | 0.553762i | \(-0.186808\pi\) |
−0.354590 | + | 0.935022i | \(0.615380\pi\) | |||||||
\(212\) | 625463. | + | 8.34623e6i | 0.0656439 | + | 0.875957i | ||||
\(213\) | −1.28268e7 | + | 6.17707e6i | −1.32733 | + | 0.639211i | ||||
\(214\) | − | 1.99838e7i | − | 2.03909i | ||||||
\(215\) | 1.59822e6 | + | 5.81295e6i | 0.160813 | + | 0.584899i | ||||
\(216\) | −1.27694e6 | −0.126710 | ||||||||
\(217\) | 6.33271e6 | + | 1.31500e7i | 0.619741 | + | 1.28691i | ||||
\(218\) | 2.64696e7 | − | 1.98363e6i | 2.55493 | − | 0.191465i | ||||
\(219\) | 6.72852e6 | − | 8.43729e6i | 0.640600 | − | 0.803287i | ||||
\(220\) | 533608. | + | 1.72991e6i | 0.0501135 | + | 0.162464i | ||||
\(221\) | −342385. | − | 593029.i | −0.0317204 | − | 0.0549413i | ||||
\(222\) | 1.29809e7 | + | 7.49450e6i | 1.18644 | + | 0.684989i | ||||
\(223\) | 3.59577e6 | + | 820712.i | 0.324248 | + | 0.0740076i | 0.381547 | − | 0.924350i | \(-0.375391\pi\) |
−0.0572984 | + | 0.998357i | \(0.518249\pi\) | |||||||
\(224\) | 1.55295e7 | − | 2.34070e6i | 1.38170 | − | 0.208258i | ||||
\(225\) | 3.77768e6 | − | 3.50517e6i | 0.331648 | − | 0.307725i | ||||
\(226\) | −6.35186e6 | − | 7.96498e6i | −0.550270 | − | 0.690017i | ||||
\(227\) | 8.18056e6 | − | 1.19987e7i | 0.699368 | − | 1.02578i | −0.298091 | − | 0.954538i | \(-0.596350\pi\) |
0.997459 | − | 0.0712468i | \(-0.0226978\pi\) | |||||||
\(228\) | −9.10017e6 | − | 8.44373e6i | −0.767795 | − | 0.712409i | ||||
\(229\) | −1.11365e6 | + | 1.48606e7i | −0.0927344 | + | 1.23745i | 0.735676 | + | 0.677333i | \(0.236864\pi\) |
−0.828411 | + | 0.560121i | \(0.810755\pi\) | |||||||
\(230\) | −1.85789e6 | − | 4.73384e6i | −0.152699 | − | 0.389072i | ||||
\(231\) | 1.53890e6 | + | 6.74235e6i | 0.124846 | + | 0.546985i | ||||
\(232\) | −1.80605e6 | − | 557091.i | −0.144632 | − | 0.0446131i | ||||
\(233\) | 957691. | + | 1.40467e6i | 0.0757107 | + | 0.111047i | 0.862226 | − | 0.506523i | \(-0.169069\pi\) |
−0.786516 | + | 0.617570i | \(0.788117\pi\) | |||||||
\(234\) | −271023. | + | 1.79812e6i | −0.0211523 | + | 0.140336i | ||||
\(235\) | −6.73678e6 | − | 2.64399e6i | −0.519097 | − | 0.203731i | ||||
\(236\) | 3.60287e6 | + | 1.73505e6i | 0.274103 | + | 0.132001i | ||||
\(237\) | 4.36722e6 | − | 9.06863e6i | 0.328065 | − | 0.681234i | ||||
\(238\) | 3.11366e6 | − | 7.93349e6i | 0.230962 | − | 0.588482i | ||||
\(239\) | 3.06742e6 | + | 462339.i | 0.224688 | + | 0.0338662i | 0.260421 | − | 0.965495i | \(-0.416139\pi\) |
−0.0357333 | + | 0.999361i | \(0.511377\pi\) | |||||||
\(240\) | 1.08127e7 | − | 7.37194e6i | 0.782165 | − | 0.533271i | ||||
\(241\) | 2.59972e6 | − | 8.42809e6i | 0.185727 | − | 0.602113i | −0.814046 | − | 0.580801i | \(-0.802739\pi\) |
0.999773 | − | 0.0213122i | \(-0.00678439\pi\) | |||||||
\(242\) | −1.56357e7 | + | 3.56876e6i | −1.10325 | + | 0.251809i | ||||
\(243\) | 1.60833e7 | − | 6.31223e6i | 1.12087 | − | 0.439910i | ||||
\(244\) | 2.23094e6 | + | 167186.i | 0.153574 | + | 0.0115088i | ||||
\(245\) | −1.73622e6 | + | 1.87120e6i | −0.118061 | + | 0.127239i | ||||
\(246\) | −1.92516e7 | − | 1.31255e7i | −1.29319 | − | 0.881682i | ||||
\(247\) | −1.90687e6 | + | 1.52068e6i | −0.126541 | + | 0.100913i | ||||
\(248\) | −4.44781e6 | − | 4.79360e6i | −0.291603 | − | 0.314273i | ||||
\(249\) | 2.29113e6 | + | 1.52007e7i | 0.148406 | + | 0.984612i | ||||
\(250\) | 4.54320e6 | − | 1.99051e7i | 0.290765 | − | 1.27392i | ||||
\(251\) | −1.35544e7 | + | 2.34769e7i | −0.857153 | + | 1.48463i | 0.0174799 | + | 0.999847i | \(0.494436\pi\) |
−0.874633 | + | 0.484786i | \(0.838898\pi\) | |||||||
\(252\) | −8.34922e6 | + | 4.82043e6i | −0.521728 | + | 0.301220i | ||||
\(253\) | −3.05102e6 | + | 941114.i | −0.188401 | + | 0.0581140i | ||||
\(254\) | −5.41909e6 | − | 4.32158e6i | −0.330693 | − | 0.263719i | ||||
\(255\) | −415832. | − | 5.54889e6i | −0.0250782 | − | 0.334646i | ||||
\(256\) | −1.97039e7 | + | 9.48888e6i | −1.17444 | + | 0.565581i | ||||
\(257\) | − | 1.23135e7i | − | 0.725410i | −0.931904 | − | 0.362705i | \(-0.881853\pi\) | ||
0.931904 | − | 0.362705i | \(-0.118147\pi\) | |||||||
\(258\) | 1.40446e7 | + | 2.61598e7i | 0.817805 | + | 1.52326i | ||||
\(259\) | 1.56129e7 | 0.898639 | ||||||||
\(260\) | 515670. | + | 1.07080e6i | 0.0293394 | + | 0.0609239i | ||||
\(261\) | 5.64327e6 | − | 422904.i | 0.317401 | − | 0.0237860i | ||||
\(262\) | −6.50600e6 | + | 8.15827e6i | −0.361751 | + | 0.453622i | ||||
\(263\) | 8.19115e6 | + | 2.65550e7i | 0.450275 | + | 1.45975i | 0.841902 | + | 0.539631i | \(0.181436\pi\) |
−0.391627 | + | 0.920124i | \(0.628088\pi\) | |||||||
\(264\) | −1.54924e6 | − | 2.68337e6i | −0.0841992 | − | 0.145837i | ||||
\(265\) | 1.15719e7 | + | 6.68107e6i | 0.621826 | + | 0.359011i | ||||
\(266\) | −2.95943e7 | − | 6.75471e6i | −1.57240 | − | 0.358890i | ||||
\(267\) | 3.04717e7 | − | 4.59287e6i | 1.60090 | − | 0.241296i | ||||
\(268\) | −2.06483e7 | + | 1.91589e7i | −1.07271 | + | 0.995325i | ||||
\(269\) | 3.07315e6 | + | 3.85361e6i | 0.157880 | + | 0.197975i | 0.854480 | − | 0.519485i | \(-0.173876\pi\) |
−0.696600 | + | 0.717460i | \(0.745305\pi\) | |||||||
\(270\) | 3.30460e6 | − | 4.84695e6i | 0.167891 | − | 0.246251i | ||||
\(271\) | −1.63711e6 | − | 1.51901e6i | −0.0822563 | − | 0.0763227i | 0.637973 | − | 0.770059i | \(-0.279773\pi\) |
−0.720230 | + | 0.693736i | \(0.755964\pi\) | |||||||
\(272\) | −756685. | + | 1.00973e7i | −0.0376018 | + | 0.501761i | ||||
\(273\) | 1.65873e6 | + | 4.22636e6i | 0.0815242 | + | 0.207720i | ||||
\(274\) | 6.68847e6 | + | 2.93041e7i | 0.325143 | + | 1.42455i | ||||
\(275\) | −4.74377e6 | − | 1.46326e6i | −0.228100 | − | 0.0703596i | ||||
\(276\) | −6.01009e6 | − | 8.81518e6i | −0.285860 | − | 0.419280i | ||||
\(277\) | −2.07326e6 | + | 1.37552e7i | −0.0975472 | + | 0.647183i | 0.885611 | + | 0.464427i | \(0.153740\pi\) |
−0.983158 | + | 0.182756i | \(0.941498\pi\) | |||||||
\(278\) | −3.97268e7 | − | 1.55916e7i | −1.84905 | − | 0.725700i | ||||
\(279\) | 1.76408e7 | + | 8.49537e6i | 0.812280 | + | 0.391174i | ||||
\(280\) | 2.23037e6 | − | 4.63141e6i | 0.101602 | − | 0.210979i | ||||
\(281\) | 6.89227e6 | − | 1.75612e7i | 0.310630 | − | 0.791473i | −0.687252 | − | 0.726419i | \(-0.741183\pi\) |
0.997882 | − | 0.0650532i | \(-0.0207217\pi\) | |||||||
\(282\) | −3.52448e7 | − | 5.31230e6i | −1.57162 | − | 0.236884i | ||||
\(283\) | 2.69532e7 | − | 1.83764e7i | 1.18919 | − | 0.810776i | 0.203455 | − | 0.979084i | \(-0.434783\pi\) |
0.985734 | + | 0.168308i | \(0.0538305\pi\) | |||||||
\(284\) | −5.63530e6 | + | 1.82692e7i | −0.246015 | + | 0.797561i | ||||
\(285\) | −1.93222e7 | + | 4.41017e6i | −0.834684 | + | 0.190511i | ||||
\(286\) | 1.63063e6 | − | 639976.i | 0.0697041 | − | 0.0273568i | ||||
\(287\) | −2.42024e7 | − | 1.81372e6i | −1.02379 | − | 0.0767227i | ||||
\(288\) | 1.43300e7 | − | 1.54441e7i | 0.599888 | − | 0.646525i | ||||
\(289\) | −1.63861e7 | − | 1.11719e7i | −0.678863 | − | 0.462841i | ||||
\(290\) | 6.78845e6 | − | 5.41361e6i | 0.278341 | − | 0.221969i | ||||
\(291\) | −1.06456e7 | − | 1.14733e7i | −0.432009 | − | 0.465595i | ||||
\(292\) | −2.15996e6 | − | 1.43304e7i | −0.0867554 | − | 0.575585i | ||||
\(293\) | 4.21198e6 | − | 1.84539e7i | 0.167449 | − | 0.733644i | −0.819562 | − | 0.572991i | \(-0.805783\pi\) |
0.987011 | − | 0.160653i | \(-0.0513599\pi\) | |||||||
\(294\) | −6.28590e6 | + | 1.08875e7i | −0.247358 | + | 0.428436i | ||||
\(295\) | 5.52891e6 | − | 3.19212e6i | 0.215364 | − | 0.124341i | ||||
\(296\) | −6.68435e6 | + | 2.06185e6i | −0.257742 | + | 0.0795027i | ||||
\(297\) | −2.87962e6 | − | 2.29642e6i | −0.109917 | − | 0.0876560i | ||||
\(298\) | 2.85963e6 | + | 3.81591e7i | 0.108059 | + | 1.44195i | ||||
\(299\) | −1.88855e6 | + | 909476.i | −0.0706503 | + | 0.0340234i | ||||
\(300\) | − | 1.65884e7i | − | 0.614385i | ||||||
\(301\) | 2.62936e7 | + | 1.62835e7i | 0.964164 | + | 0.597101i | ||||
\(302\) | 3.54730e7 | 1.28789 | ||||||||
\(303\) | 3.32626e6 | + | 6.90705e6i | 0.119572 | + | 0.248293i | ||||
\(304\) | 3.59638e7 | − | 2.69512e6i | 1.28010 | − | 0.0959305i | ||||
\(305\) | 2.22691e6 | − | 2.79246e6i | 0.0784879 | − | 0.0984208i | ||||
\(306\) | −3.36998e6 | − | 1.09252e7i | −0.117615 | − | 0.381299i | ||||
\(307\) | 2.68446e7 | + | 4.64962e7i | 0.927774 | + | 1.60695i | 0.787039 | + | 0.616904i | \(0.211613\pi\) |
0.140735 | + | 0.990047i | \(0.455053\pi\) | |||||||
\(308\) | 8.04295e6 | + | 4.64360e6i | 0.275273 | + | 0.158929i | ||||
\(309\) | −5.53136e7 | − | 1.26250e7i | −1.87481 | − | 0.427912i | ||||
\(310\) | 2.97058e7 | − | 4.47743e6i | 0.997141 | − | 0.150295i | ||||
\(311\) | −3.28863e7 | + | 3.05140e7i | −1.09329 | + | 1.01442i | −0.0934619 | + | 0.995623i | \(0.529793\pi\) |
−0.999823 | + | 0.0187975i | \(0.994016\pi\) | |||||||
\(312\) | −1.26828e6 | − | 1.59038e6i | −0.0417592 | − | 0.0523644i | ||||
\(313\) | 1.01748e7 | − | 1.49236e7i | 0.331812 | − | 0.486678i | −0.623687 | − | 0.781674i | \(-0.714366\pi\) |
0.955498 | + | 0.294996i | \(0.0953183\pi\) | |||||||
\(314\) | 4.10531e7 | + | 3.80917e7i | 1.32604 | + | 1.23039i | ||||
\(315\) | −1.15022e6 | + | 1.53486e7i | −0.0368001 | + | 0.491063i | ||||
\(316\) | −4.93828e6 | − | 1.25825e7i | −0.156500 | − | 0.398756i | ||||
\(317\) | 7.80400e6 | + | 3.41915e7i | 0.244985 | + | 1.07335i | 0.936412 | + | 0.350903i | \(0.114125\pi\) |
−0.691427 | + | 0.722446i | \(0.743018\pi\) | |||||||
\(318\) | 6.28856e7 | + | 1.93976e7i | 1.95555 | + | 0.603209i | ||||
\(319\) | −3.07094e6 | − | 4.50424e6i | −0.0946017 | − | 0.138755i | ||||
\(320\) | 1.28827e6 | − | 8.54712e6i | 0.0393149 | − | 0.260837i | ||||
\(321\) | −6.23076e7 | − | 2.44539e7i | −1.88376 | − | 0.739322i | ||||
\(322\) | −2.35048e7 | − | 1.13193e7i | −0.704025 | − | 0.339041i | ||||
\(323\) | 6.65351e6 | − | 1.38161e7i | 0.197444 | − | 0.409996i | ||||
\(324\) | 1.10973e7 | − | 2.82754e7i | 0.326274 | − | 0.831331i | ||||
\(325\) | −3.22269e6 | − | 485743.i | −0.0938791 | − | 0.0141500i | ||||
\(326\) | −3.34671e7 | + | 2.28175e7i | −0.965973 | + | 0.658589i | ||||
\(327\) | 2.62058e7 | − | 8.49572e7i | 0.749471 | − | 2.42972i | ||||
\(328\) | 1.06013e7 | − | 2.41967e6i | 0.300425 | − | 0.0685700i | ||||
\(329\) | −3.45602e7 | + | 1.35639e7i | −0.970484 | + | 0.380887i | ||||
\(330\) | 1.41947e7 | + | 1.06375e6i | 0.394988 | + | 0.0296003i | ||||
\(331\) | 2.08439e7 | − | 2.24644e7i | 0.574771 | − | 0.619456i | −0.377019 | − | 0.926205i | \(-0.623051\pi\) |
0.951790 | + | 0.306750i | \(0.0992415\pi\) | |||||||
\(332\) | 1.70566e7 | + | 1.16290e7i | 0.466099 | + | 0.317781i | ||||
\(333\) | 1.63753e7 | − | 1.30589e7i | 0.443463 | − | 0.353650i | ||||
\(334\) | 2.49895e7 | + | 2.69323e7i | 0.670685 | + | 0.722827i | ||||
\(335\) | 6.70238e6 | + | 4.44674e7i | 0.178277 | + | 1.18279i | ||||
\(336\) | 1.49390e7 | − | 6.54520e7i | 0.393825 | − | 1.72546i | ||||
\(337\) | 7.97747e6 | − | 1.38174e7i | 0.208437 | − | 0.361024i | −0.742785 | − | 0.669530i | \(-0.766496\pi\) |
0.951222 | + | 0.308506i | \(0.0998289\pi\) | |||||||
\(338\) | −4.31426e7 | + | 2.49084e7i | −1.11726 | + | 0.645053i | ||||
\(339\) | −3.26068e7 | + | 1.00579e7i | −0.836968 | + | 0.258170i | ||||
\(340\) | −5.84226e6 | − | 4.65905e6i | −0.148643 | − | 0.118539i | ||||
\(341\) | −1.40953e6 | − | 1.88088e7i | −0.0355476 | − | 0.474350i | ||||
\(342\) | −3.66892e7 | + | 1.76686e7i | −0.917191 | + | 0.441696i | ||||
\(343\) | − | 3.26692e7i | − | 0.809573i | ||||||
\(344\) | −1.34075e7 | − | 3.49909e6i | −0.329361 | − | 0.0859567i | ||||
\(345\) | −1.70331e7 | −0.414799 | ||||||||
\(346\) | −3.01277e7 | − | 6.25608e7i | −0.727341 | − | 1.51034i | ||||
\(347\) | 1.35946e7 | − | 1.01877e6i | 0.325370 | − | 0.0243831i | 0.0889560 | − | 0.996036i | \(-0.471647\pi\) |
0.236414 | + | 0.971652i | \(0.424028\pi\) | |||||||
\(348\) | 1.13577e7 | − | 1.42421e7i | 0.269496 | − | 0.337937i | ||||
\(349\) | 3.19186e6 | + | 1.03478e7i | 0.0750875 | + | 0.243428i | 0.985333 | − | 0.170640i | \(-0.0545837\pi\) |
−0.910246 | + | 0.414068i | \(0.864107\pi\) | |||||||
\(350\) | −2.02813e7 | − | 3.51282e7i | −0.473032 | − | 0.819316i | ||||
\(351\) | −2.09406e6 | − | 1.20901e6i | −0.0484248 | − | 0.0279581i | ||||
\(352\) | −1.97865e7 | − | 4.51615e6i | −0.453672 | − | 0.103548i | ||||
\(353\) | 3.15712e6 | − | 475859.i | 0.0717739 | − | 0.0108182i | −0.113057 | − | 0.993588i | \(-0.536064\pi\) |
0.184831 | + | 0.982770i | \(0.440826\pi\) | |||||||
\(354\) | 2.30492e7 | − | 2.13865e7i | 0.519572 | − | 0.482092i | ||||
\(355\) | 1.90307e7 | + | 2.38637e7i | 0.425372 | + | 0.533400i | ||||
\(356\) | 2.33118e7 | − | 3.41922e7i | 0.516685 | − | 0.757838i | ||||
\(357\) | −2.09257e7 | − | 1.94162e7i | −0.459913 | − | 0.426737i | ||||
\(358\) | −6.55728e6 | + | 8.75008e7i | −0.142914 | + | 1.90705i | ||||
\(359\) | 3.01251e7 | + | 7.67575e7i | 0.651096 | + | 1.65897i | 0.748022 | + | 0.663674i | \(0.231004\pi\) |
−0.0969261 | + | 0.995292i | \(0.530901\pi\) | |||||||
\(360\) | −1.53450e6 | − | 6.72308e6i | −0.0328896 | − | 0.144099i | ||||
\(361\) | −7.23617e6 | − | 2.23206e6i | −0.153811 | − | 0.0474444i | ||||
\(362\) | −3.27852e7 | − | 4.80871e7i | −0.691119 | − | 1.01369i | ||||
\(363\) | −8.00622e6 | + | 5.31178e7i | −0.167382 | + | 1.11050i | ||||
\(364\) | 5.67561e6 | + | 2.22751e6i | 0.117682 | + | 0.0461866i | ||||
\(365\) | −2.08456e7 | − | 1.00387e7i | −0.428683 | − | 0.206443i | ||||
\(366\) | 7.63235e6 | − | 1.58487e7i | 0.155674 | − | 0.323260i | ||||
\(367\) | 1.66714e7 | − | 4.24780e7i | 0.337267 | − | 0.859341i | −0.657145 | − | 0.753765i | \(-0.728236\pi\) |
0.994411 | − | 0.105577i | \(-0.0336688\pi\) | |||||||
\(368\) | 3.06489e7 | + | 4.61957e6i | 0.614994 | + | 0.0926955i | ||||
\(369\) | −2.69012e7 | + | 1.83410e7i | −0.535418 | + | 0.365042i | ||||
\(370\) | 9.47217e6 | − | 3.07080e7i | 0.187001 | − | 0.606243i | ||||
\(371\) | 6.68301e7 | − | 1.52535e7i | 1.30873 | − | 0.298709i | ||||
\(372\) | 5.86696e7 | − | 2.30261e7i | 1.13968 | − | 0.447293i | ||||
\(373\) | −8.05710e7 | − | 6.03796e6i | −1.55257 | − | 0.116349i | −0.729380 | − | 0.684109i | \(-0.760191\pi\) |
−0.823195 | + | 0.567759i | \(0.807810\pi\) | |||||||
\(374\) | −7.49125e6 | + | 8.07365e6i | −0.143199 | + | 0.154332i | ||||
\(375\) | −5.65027e7 | − | 3.85229e7i | −1.07146 | − | 0.730507i | ||||
\(376\) | 1.30050e7 | − | 1.03711e7i | 0.244650 | − | 0.195102i | ||||
\(377\) | −2.43429e6 | − | 2.62354e6i | −0.0454306 | − | 0.0489625i | ||||
\(378\) | −4.48535e6 | − | 2.97583e7i | −0.0830464 | − | 0.550977i | ||||
\(379\) | 2.18857e7 | − | 9.58876e7i | 0.402016 | − | 1.76135i | −0.217202 | − | 0.976127i | \(-0.569693\pi\) |
0.619218 | − | 0.785219i | \(-0.287450\pi\) | |||||||
\(380\) | −1.33076e7 | + | 2.30495e7i | −0.242521 | + | 0.420059i | ||||
\(381\) | −2.01056e7 | + | 1.16080e7i | −0.363531 | + | 0.209885i | ||||
\(382\) | −7.29705e7 | + | 2.25084e7i | −1.30905 | + | 0.403789i | ||||
\(383\) | 2.57145e7 | + | 2.05066e7i | 0.457701 | + | 0.365004i | 0.825032 | − | 0.565086i | \(-0.191157\pi\) |
−0.367331 | + | 0.930090i | \(0.619728\pi\) | |||||||
\(384\) | 3.64793e6 | + | 4.86783e7i | 0.0644248 | + | 0.859689i | ||||
\(385\) | 1.33587e7 | − | 6.43321e6i | 0.234089 | − | 0.112732i | ||||
\(386\) | 7.68075e7i | 1.33549i | ||||||||
\(387\) | 4.11973e7 | − | 4.91376e6i | 0.710782 | − | 0.0847775i | ||||
\(388\) | −2.10184e7 | −0.359835 | ||||||||
\(389\) | 2.21238e7 | + | 4.59406e7i | 0.375847 | + | 0.780454i | 1.00000 | 0.000848024i | \(-0.000269934\pi\) | |
−0.624153 | + | 0.781302i | \(0.714556\pi\) | |||||||
\(390\) | 9.31887e6 | − | 698353.i | 0.157098 | − | 0.0117728i | ||||
\(391\) | 8.21707e6 | − | 1.03039e7i | 0.137463 | − | 0.172374i | ||||
\(392\) | −1.72934e6 | − | 5.60640e6i | −0.0287094 | − | 0.0930734i | ||||
\(393\) | 1.74754e7 | + | 3.02683e7i | 0.287905 | + | 0.498666i | ||||
\(394\) | 1.38417e7 | + | 7.99152e6i | 0.226309 | + | 0.130659i | ||||
\(395\) | −2.10387e7 | − | 4.80195e6i | −0.341372 | − | 0.0779160i | ||||
\(396\) | 1.23197e7 | − | 1.85689e6i | 0.198387 | − | 0.0299021i | ||||
\(397\) | −1.94540e7 | + | 1.80506e7i | −0.310911 | + | 0.288484i | −0.820158 | − | 0.572137i | \(-0.806115\pi\) |
0.509247 | + | 0.860621i | \(0.329924\pi\) | |||||||
\(398\) | 3.93593e7 | + | 4.93550e7i | 0.624307 | + | 0.782856i | ||||
\(399\) | −5.72748e7 | + | 8.40066e7i | −0.901664 | + | 1.32250i | ||||
\(400\) | 3.53269e7 | + | 3.27786e7i | 0.551983 | + | 0.512166i | ||||
\(401\) | −747229. | + | 9.97107e6i | −0.0115883 | + | 0.154635i | 0.988408 | + | 0.151823i | \(0.0485143\pi\) |
−0.999996 | + | 0.00281253i | \(0.999105\pi\) | |||||||
\(402\) | 8.09152e7 | + | 2.06169e8i | 1.24552 | + | 3.17354i | ||||
\(403\) | −2.75541e6 | − | 1.20722e7i | −0.0420989 | − | 0.184447i | ||||
\(404\) | 9.83767e6 | + | 3.03452e6i | 0.149193 | + | 0.0460199i | ||||
\(405\) | −2.73176e7 | − | 4.00676e7i | −0.411224 | − | 0.603154i | ||||
\(406\) | 6.63882e6 | − | 4.40457e7i | 0.0992002 | − | 0.658150i | ||||
\(407\) | −1.87818e7 | − | 7.37132e6i | −0.278583 | − | 0.109336i | ||||
\(408\) | 1.15230e7 | + | 5.54920e6i | 0.169663 | + | 0.0817052i | ||||
\(409\) | −2.09632e7 | + | 4.35305e7i | −0.306399 | + | 0.636244i | −0.996137 | − | 0.0878151i | \(-0.972012\pi\) |
0.689738 | + | 0.724059i | \(0.257726\pi\) | |||||||
\(410\) | −1.82506e7 | + | 4.65016e7i | −0.264804 | + | 0.674709i | ||||
\(411\) | 9.95520e7 | + | 1.50051e7i | 1.43392 | + | 0.216128i | ||||
\(412\) | −6.29522e7 | + | 4.29201e7i | −0.900159 | + | 0.613718i | ||||
\(413\) | 9.65370e6 | − | 3.12965e7i | 0.137039 | − | 0.444269i | ||||
\(414\) | −3.41202e7 | + | 7.78771e6i | −0.480851 | + | 0.109751i | ||||
\(415\) | 3.06794e7 | − | 1.20408e7i | 0.429243 | − | 0.168465i | ||||
\(416\) | −1.32867e7 | − | 995704.i | −0.184560 | − | 0.0138309i | ||||
\(417\) | −9.72266e7 | + | 1.04785e8i | −1.34084 | + | 1.44508i | ||||
\(418\) | 3.24118e7 | + | 2.20980e7i | 0.443787 | + | 0.302569i | ||||
\(419\) | 7.76650e7 | − | 6.19358e7i | 1.05580 | − | 0.841975i | 0.0680008 | − | 0.997685i | \(-0.478338\pi\) |
0.987803 | + | 0.155710i | \(0.0497665\pi\) | |||||||
\(420\) | 3.36991e7 | + | 3.63190e7i | 0.454852 | + | 0.490214i | ||||
\(421\) | −1.83454e7 | − | 1.21714e8i | −0.245856 | − | 1.63115i | −0.682059 | − | 0.731298i | \(-0.738915\pi\) |
0.436203 | − | 0.899848i | \(-0.356323\pi\) | |||||||
\(422\) | 1.34970e7 | − | 5.91343e7i | 0.179598 | − | 0.786868i | ||||
\(423\) | −2.49028e7 | + | 4.31329e7i | −0.329023 | + | 0.569885i | ||||
\(424\) | −2.65975e7 | + | 1.53561e7i | −0.348934 | + | 0.201457i | ||||
\(425\) | 1.95808e7 | − | 6.03988e6i | 0.255073 | − | 0.0786795i | ||||
\(426\) | 1.17530e8 | + | 9.37273e7i | 1.52027 | + | 1.21238i | ||||
\(427\) | −1.36928e6 | − | 1.82718e7i | −0.0175877 | − | 0.234691i | ||||
\(428\) | −8.09852e7 | + | 3.90004e7i | −1.03294 | + | 0.497437i | ||||
\(429\) | − | 5.86729e6i | − | 0.0743132i | ||||||
\(430\) | 4.79789e7 | − | 4.18362e7i | 0.603455 | − | 0.526195i | ||||
\(431\) | 1.95710e7 | 0.244445 | 0.122222 | − | 0.992503i | \(-0.460998\pi\) | ||||
0.122222 | + | 0.992503i | \(0.460998\pi\) | |||||||
\(432\) | 1.55134e7 | + | 3.22139e7i | 0.192422 | + | 0.399569i | ||||
\(433\) | −1.20055e8 | + | 8.99688e6i | −1.47882 | + | 0.110823i | −0.789554 | − | 0.613681i | \(-0.789688\pi\) |
−0.689271 | + | 0.724504i | \(0.742069\pi\) | |||||||
\(434\) | 9.60888e7 | − | 1.20492e8i | 1.17545 | − | 1.47397i | ||||
\(435\) | −8.57218e6 | − | 2.77903e7i | −0.104141 | − | 0.337618i | ||||
\(436\) | −5.96970e7 | − | 1.03398e8i | −0.720266 | − | 1.24754i | ||||
\(437\) | −4.06519e7 | − | 2.34704e7i | −0.487121 | − | 0.281239i | ||||
\(438\) | −1.11094e8 | − | 2.53564e7i | −1.32211 | − | 0.301763i | ||||
\(439\) | −1.09810e8 | + | 1.65512e7i | −1.29792 | + | 0.195630i | −0.761413 | − | 0.648267i | \(-0.775494\pi\) |
−0.536505 | + | 0.843897i | \(0.680256\pi\) | |||||||
\(440\) | −4.86967e6 | + | 4.51840e6i | −0.0571665 | + | 0.0530428i | ||||
\(441\) | 1.09529e7 | + | 1.37346e7i | 0.127707 | + | 0.160140i | ||||
\(442\) | −4.07312e6 | + | 5.97417e6i | −0.0471694 | + | 0.0691849i | ||||
\(443\) | −1.17043e8 | − | 1.08600e8i | −1.34628 | − | 1.24916i | −0.942457 | − | 0.334327i | \(-0.891491\pi\) |
−0.403822 | − | 0.914838i | \(-0.632318\pi\) | |||||||
\(444\) | 5.03833e6 | − | 6.72318e7i | 0.0575622 | − | 0.768115i | ||||
\(445\) | −2.41373e7 | − | 6.15009e7i | −0.273911 | − | 0.697913i | ||||
\(446\) | −8.66599e6 | − | 3.79682e7i | −0.0976818 | − | 0.427972i | ||||
\(447\) | 1.22476e8 | + | 3.77788e7i | 1.37129 | + | 0.422985i | ||||
\(448\) | −2.49791e7 | − | 3.66376e7i | −0.277807 | − | 0.407467i | ||||
\(449\) | −3.51146e6 | + | 2.32970e7i | −0.0387926 | + | 0.257372i | −0.999818 | − | 0.0190887i | \(-0.993924\pi\) |
0.961025 | + | 0.276461i | \(0.0891616\pi\) | |||||||
\(450\) | −5.06534e7 | − | 1.98800e7i | −0.555867 | − | 0.218162i | ||||
\(451\) | 2.82583e7 | + | 1.36085e7i | 0.308046 | + | 0.148347i | ||||
\(452\) | −1.98822e7 | + | 4.12857e7i | −0.215302 | + | 0.447079i | ||||
\(453\) | 4.34079e7 | − | 1.10602e8i | 0.466955 | − | 1.18978i | ||||
\(454\) | −1.51627e8 | − | 2.28541e7i | −1.62035 | − | 0.244229i | ||||
\(455\) | 8.04261e6 | − | 5.48336e6i | 0.0853813 | − | 0.0582120i | ||||
\(456\) | 1.34270e7 | − | 4.35294e7i | 0.141607 | − | 0.459080i | ||||
\(457\) | 1.20633e8 | − | 2.75337e7i | 1.26392 | − | 0.288480i | 0.462517 | − | 0.886611i | \(-0.346947\pi\) |
0.801399 | + | 0.598130i | \(0.204089\pi\) | |||||||
\(458\) | 1.46477e8 | − | 5.74880e7i | 1.52466 | − | 0.598385i | ||||
\(459\) | 1.51605e7 | + | 1.13612e6i | 0.156774 | + | 0.0117486i | ||||
\(460\) | −1.55582e7 | + | 1.67678e7i | −0.159840 | + | 0.172267i | ||||
\(461\) | 1.23727e8 | + | 8.43557e7i | 1.26288 | + | 0.861017i | 0.994747 | − | 0.102365i | \(-0.0326410\pi\) |
0.268133 | + | 0.963382i | \(0.413593\pi\) | |||||||
\(462\) | 5.70925e7 | − | 4.55298e7i | 0.578966 | − | 0.461710i | ||||
\(463\) | −1.14977e8 | − | 1.23916e8i | −1.15842 | − | 1.24848i | −0.963512 | − | 0.267664i | \(-0.913748\pi\) |
−0.194912 | − | 0.980821i | \(-0.562442\pi\) | |||||||
\(464\) | 7.88745e6 | + | 5.23298e7i | 0.0789556 | + | 0.523836i | ||||
\(465\) | 2.23905e7 | − | 9.80990e7i | 0.222692 | − | 0.975676i | ||||
\(466\) | 8.97568e6 | − | 1.55463e7i | 0.0886971 | − | 0.153628i | ||||
\(467\) | −8.66691e7 | + | 5.00384e7i | −0.850968 | + | 0.491307i | −0.860978 | − | 0.508643i | \(-0.830147\pi\) |
0.0100090 | + | 0.999950i | \(0.496814\pi\) | |||||||
\(468\) | 7.81589e6 | − | 2.41088e6i | 0.0762501 | − | 0.0235201i | ||||
\(469\) | 1.80367e8 | + | 1.43838e8i | 1.74839 | + | 1.39429i | ||||
\(470\) | 5.71063e6 | + | 7.62031e7i | 0.0550035 | + | 0.733971i | ||||
\(471\) | 1.69002e8 | − | 8.13873e7i | 1.61745 | − | 0.778922i | ||||
\(472\) | 1.46738e7i | 0.139546i | ||||||||
\(473\) | −2.39424e7 | − | 3.20024e7i | −0.226248 | − | 0.302412i | ||||
\(474\) | −1.06282e8 | −0.997985 | ||||||||
\(475\) | −3.16667e7 | − | 6.57565e7i | −0.295476 | − | 0.613561i | ||||
\(476\) | −3.82275e7 | + | 2.86475e6i | −0.354450 | + | 0.0265623i | ||||
\(477\) | 5.73352e7 | − | 7.18961e7i | 0.528282 | − | 0.662445i | ||||
\(478\) | −9.65472e6 | − | 3.12998e7i | −0.0884008 | − | 0.286588i | ||||
\(479\) | 5.78075e7 | + | 1.00125e8i | 0.525990 | + | 0.911041i | 0.999542 | + | 0.0302750i | \(0.00963832\pi\) |
−0.473552 | + | 0.880766i | \(0.657028\pi\) | |||||||
\(480\) | −9.37653e7 | − | 5.41354e7i | −0.847849 | − | 0.489506i | ||||
\(481\) | −1.29139e7 | − | 2.94751e6i | −0.116044 | − | 0.0264862i | ||||
\(482\) | −9.20905e7 | + | 1.38804e7i | −0.822382 | + | 0.123954i | ||||
\(483\) | −6.40550e7 | + | 5.94344e7i | −0.568476 | + | 0.527468i | ||||
\(484\) | 4.49773e7 | + | 5.63998e7i | 0.396696 | + | 0.497441i | ||||
\(485\) | −1.89027e7 | + | 2.77251e7i | −0.165691 | + | 0.243024i | ||||
\(486\) | −1.33735e8 | − | 1.24088e8i | −1.16503 | − | 1.08099i | ||||
\(487\) | −9.63708e6 | + | 1.28598e8i | −0.0834370 | + | 1.11339i | 0.785631 | + | 0.618696i | \(0.212339\pi\) |
−0.869068 | + | 0.494693i | \(0.835280\pi\) | |||||||
\(488\) | 2.99921e6 | + | 7.64185e6i | 0.0258075 | + | 0.0657566i | ||||
\(489\) | 3.01895e7 | + | 1.32269e8i | 0.258184 | + | 1.13118i | ||||
\(490\) | 2.57559e7 | + | 7.94464e6i | 0.218921 | + | 0.0675283i | ||||
\(491\) | −1.04835e8 | − | 1.53765e8i | −0.885648 | − | 1.29901i | −0.953525 | − | 0.301314i | \(-0.902575\pi\) |
0.0678766 | − | 0.997694i | \(-0.478378\pi\) | |||||||
\(492\) | −1.56203e7 | + | 1.03634e8i | −0.131158 | + | 0.870176i | ||||
\(493\) | 2.09466e7 | + | 8.22093e6i | 0.174813 | + | 0.0686089i | ||||
\(494\) | 2.32030e7 | + | 1.11740e7i | 0.192470 | + | 0.0926888i | ||||
\(495\) | 8.63018e6 | − | 1.79208e7i | 0.0711548 | − | 0.147755i | ||||
\(496\) | −6.68941e7 | + | 1.70443e8i | −0.548205 | + | 1.39680i | ||||
\(497\) | 1.54835e8 | + | 2.33377e7i | 1.26125 | + | 0.190103i | ||||
\(498\) | 1.34114e8 | − | 9.14373e7i | 1.08589 | − | 0.740347i | ||||
\(499\) | 5.33281e7 | − | 1.72885e8i | 0.429195 | − | 1.39142i | −0.440468 | − | 0.897769i | \(-0.645187\pi\) |
0.869662 | − | 0.493647i | \(-0.164336\pi\) | |||||||
\(500\) | −8.95327e7 | + | 2.04353e7i | −0.716262 | + | 0.163482i | ||||
\(501\) | 1.14552e8 | − | 4.49583e7i | 0.910938 | − | 0.357517i | ||||
\(502\) | 2.85444e8 | + | 2.13911e7i | 2.25637 | + | 0.169091i | ||||
\(503\) | −6.70451e7 | + | 7.22574e7i | −0.526821 | + | 0.567778i | −0.939260 | − | 0.343207i | \(-0.888487\pi\) |
0.412439 | + | 0.910985i | \(0.364677\pi\) | |||||||
\(504\) | −2.92297e7 | − | 1.99285e7i | −0.228314 | − | 0.155662i | ||||
\(505\) | 1.28502e7 | − | 1.02477e7i | 0.0997785 | − | 0.0795707i | ||||
\(506\) | 2.29312e7 | + | 2.47140e7i | 0.177001 | + | 0.190762i | ||||
\(507\) | 2.48690e7 | + | 1.64995e8i | 0.190824 | + | 1.26604i | ||||
\(508\) | −6.93749e6 | + | 3.03951e7i | −0.0529190 | + | 0.231853i | ||||
\(509\) | 2.71482e7 | − | 4.70221e7i | 0.205868 | − | 0.356573i | −0.744541 | − | 0.667577i | \(-0.767332\pi\) |
0.950409 | + | 0.311003i | \(0.100665\pi\) | |||||||
\(510\) | −5.08838e7 | + | 2.93778e7i | −0.383592 | + | 0.221467i | ||||
\(511\) | −1.13421e8 | + | 3.49857e7i | −0.850022 | + | 0.262197i | ||||
\(512\) | 1.11481e8 | + | 8.89028e7i | 0.830595 | + | 0.662377i | ||||
\(513\) | −4.04656e6 | − | 5.39976e7i | −0.0299733 | − | 0.399966i | ||||
\(514\) | −1.17144e8 | + | 5.64135e7i | −0.862642 | + | 0.415426i | ||||
\(515\) | 1.21640e8i | 0.890539i | ||||||||
\(516\) | 7.86043e7 | − | 1.07970e8i | 0.572134 | − | 0.785875i | ||||
\(517\) | 4.79786e7 | 0.347197 | ||||||||
\(518\) | −7.15295e7 | − | 1.48533e8i | −0.514631 | − | 1.06864i | ||||
\(519\) | −2.31926e8 | + | 1.73804e7i | −1.65900 | + | 0.124325i | ||||
\(520\) | −2.71914e6 | + | 3.40969e6i | −0.0193384 | + | 0.0242496i | ||||
\(521\) | 4.24943e7 | + | 1.37763e8i | 0.300481 | + | 0.974136i | 0.972362 | + | 0.233477i | \(0.0750103\pi\) |
−0.671881 | + | 0.740659i | \(0.734513\pi\) | |||||||
\(522\) | −2.98775e7 | − | 5.17493e7i | −0.210055 | − | 0.363825i | ||||
\(523\) | −3.49516e7 | − | 2.01793e7i | −0.244322 | − | 0.141059i | 0.372840 | − | 0.927896i | \(-0.378384\pi\) |
−0.617161 | + | 0.786837i | \(0.711717\pi\) | |||||||
\(524\) | 4.57589e7 | + | 1.04442e7i | 0.318040 | + | 0.0725905i | ||||
\(525\) | −1.34344e8 | + | 2.02492e7i | −0.928414 | + | 0.139936i | ||||
\(526\) | 2.15102e8 | − | 1.99586e8i | 1.47805 | − | 1.37143i | ||||
\(527\) | 4.85416e7 | + | 6.08693e7i | 0.331652 | + | 0.415878i | ||||
\(528\) | −4.88728e7 | + | 7.16833e7i | −0.332021 | + | 0.486986i | ||||
\(529\) | 7.89450e7 | + | 7.32502e7i | 0.533283 | + | 0.494814i | ||||
\(530\) | 1.05438e7 | − | 1.40698e8i | 0.0708224 | − | 0.945060i | ||||
\(531\) | −1.60518e7 | − | 4.08993e7i | −0.107211 | − | 0.273170i | ||||
\(532\) | 3.03826e7 | + | 1.33115e8i | 0.201785 | + | 0.884080i | ||||
\(533\) | 1.96760e7 | + | 6.06924e6i | 0.129944 | + | 0.0400823i | ||||
\(534\) | −1.83298e8 | − | 2.68849e8i | −1.20374 | − | 1.76557i | ||||
\(535\) | −2.13882e7 | + | 1.41902e8i | −0.139673 | + | 0.926672i | ||||
\(536\) | −9.62155e7 | − | 3.77618e7i | −0.624814 | − | 0.245221i | ||||
\(537\) | 2.64795e8 | + | 1.27519e8i | 1.70997 | + | 0.823477i | ||||
\(538\) | 2.25816e7 | − | 4.68912e7i | 0.145013 | − | 0.301123i | ||||
\(539\) | 6.18258e6 | − | 1.57529e7i | 0.0394824 | − | 0.100599i | ||||
\(540\) | −2.60918e7 | − | 3.93270e6i | −0.165700 | − | 0.0249752i | ||||
\(541\) | −1.71595e7 | + | 1.16992e7i | −0.108371 | + | 0.0738862i | −0.616293 | − | 0.787517i | \(-0.711366\pi\) |
0.507922 | + | 0.861403i | \(0.330414\pi\) | |||||||
\(542\) | −6.95074e6 | + | 2.25337e7i | −0.0436549 | + | 0.141526i | ||||
\(543\) | −1.90050e8 | + | 4.33777e7i | −1.18705 | + | 0.270936i | ||||
\(544\) | 7.79821e7 | − | 3.06057e7i | 0.484394 | − | 0.190111i | ||||
\(545\) | −1.90080e8 | − | 1.42445e7i | −1.17421 | − | 0.0879950i | ||||
\(546\) | 3.26079e7 | − | 3.51429e7i | 0.200329 | − | 0.215904i | ||||
\(547\) | 6.69371e7 | + | 4.56370e7i | 0.408983 | + | 0.278840i | 0.750286 | − | 0.661114i | \(-0.229916\pi\) |
−0.341303 | + | 0.939953i | \(0.610868\pi\) | |||||||
\(548\) | 1.05703e8 | − | 8.42953e7i | 0.642311 | − | 0.512226i | ||||
\(549\) | −1.67189e7 | − | 1.80187e7i | −0.101040 | − | 0.108895i | ||||
\(550\) | 7.81261e6 | + | 5.18333e7i | 0.0469579 | + | 0.311545i | ||||
\(551\) | 1.78343e7 | − | 7.81372e7i | 0.106611 | − | 0.467092i | ||||
\(552\) | 1.95749e7 | − | 3.39047e7i | 0.116381 | − | 0.201578i | ||||
\(553\) | −9.58741e7 | + | 5.53530e7i | −0.566926 | + | 0.327315i | ||||
\(554\) | 1.40357e8 | − | 4.32945e7i | 0.825479 | − | 0.254627i | ||||
\(555\) | −8.41538e7 | − | 6.71104e7i | −0.492260 | − | 0.392564i | ||||
\(556\) | 1.43452e7 | + | 1.91424e8i | 0.0834608 | + | 1.11371i | ||||
\(557\) | 1.04274e7 | − | 5.02157e6i | 0.0603407 | − | 0.0290586i | −0.403470 | − | 0.914993i | \(-0.632196\pi\) |
0.463811 | + | 0.885934i | \(0.346482\pi\) | |||||||
\(558\) | − | 2.06745e8i | − | 1.18996i | ||||||
\(559\) | −1.86740e7 | − | 1.84324e7i | −0.106906 | − | 0.105523i | ||||
\(560\) | −1.43935e8 | −0.819599 | ||||||||
\(561\) | 1.60059e7 | + | 3.32367e7i | 0.0906551 | + | 0.188247i | ||||
\(562\) | −1.98644e8 | + | 1.48863e7i | −1.11909 | + | 0.0838644i | ||||
\(563\) | −1.71945e8 | + | 2.15612e8i | −0.963526 | + | 1.20822i | 0.0145331 | + | 0.999894i | \(0.495374\pi\) |
−0.978059 | + | 0.208329i | \(0.933198\pi\) | |||||||
\(564\) | 4.72556e7 | + | 1.53199e8i | 0.263400 | + | 0.853922i | ||||
\(565\) | 3.65788e7 | + | 6.33563e7i | 0.202808 | + | 0.351273i | ||||
\(566\) | −2.98306e8 | − | 1.72227e8i | −1.64518 | − | 0.949845i | ||||
\(567\) | −2.42540e8 | − | 5.53583e7i | −1.33056 | − | 0.303692i | ||||
\(568\) | −6.93716e7 | + | 1.04561e7i | −0.378561 | + | 0.0570590i | ||||
\(569\) | 2.06557e8 | − | 1.91657e8i | 1.12125 | − | 1.04037i | 0.122399 | − | 0.992481i | \(-0.460941\pi\) |
0.998853 | − | 0.0478889i | \(-0.0152493\pi\) | |||||||
\(570\) | 1.30479e8 | + | 1.63616e8i | 0.704557 | + | 0.883487i | ||||
\(571\) | −7.81994e7 | + | 1.14697e8i | −0.420044 | + | 0.616092i | −0.976689 | − | 0.214659i | \(-0.931136\pi\) |
0.556645 | + | 0.830751i | \(0.312088\pi\) | |||||||
\(572\) | −5.77588e6 | − | 5.35924e6i | −0.0308624 | − | 0.0286362i | ||||
\(573\) | −1.91140e7 | + | 2.55058e8i | −0.101599 | + | 1.35574i | ||||
\(574\) | 9.36267e7 | + | 2.38557e8i | 0.495067 | + | 1.26141i | ||||
\(575\) | −1.39576e7 | − | 6.11522e7i | −0.0734187 | − | 0.321669i | ||||
\(576\) | −5.68431e7 | − | 1.75338e7i | −0.297447 | − | 0.0917504i | ||||
\(577\) | −7.49112e6 | − | 1.09875e7i | −0.0389959 | − | 0.0571965i | 0.806246 | − | 0.591581i | \(-0.201496\pi\) |
−0.845242 | + | 0.534384i | \(0.820544\pi\) | |||||||
\(578\) | −3.12109e7 | + | 2.07071e8i | −0.161630 | + | 1.07235i | ||||
\(579\) | 2.39479e8 | + | 9.39884e7i | 1.23376 | + | 0.484215i | ||||
\(580\) | −3.51873e7 | − | 1.69453e7i | −0.180344 | − | 0.0868491i | ||||
\(581\) | 7.33590e7 | − | 1.52332e8i | 0.374046 | − | 0.776715i | ||||
\(582\) | −6.03780e7 | + | 1.53841e8i | −0.306274 | + | 0.780372i | ||||
\(583\) | −8.75958e7 | − | 1.32029e7i | −0.442056 | − | 0.0666293i | ||||
\(584\) | 4.39385e7 | − | 2.99568e7i | 0.220601 | − | 0.150403i | ||||
\(585\) | 3.84898e6 | − | 1.24781e7i | 0.0192255 | − | 0.0623275i | ||||
\(586\) | −1.94857e8 | + | 4.44748e7i | −0.968328 | + | 0.221015i | ||||
\(587\) | −6.70739e7 | + | 2.63245e7i | −0.331619 | + | 0.130151i | −0.525308 | − | 0.850912i | \(-0.676050\pi\) |
0.193689 | + | 0.981063i | \(0.437955\pi\) | |||||||
\(588\) | 5.63897e7 | + | 4.22582e6i | 0.277375 | + | 0.0207864i | ||||
\(589\) | 1.88611e8 | − | 2.03274e8i | 0.923040 | − | 0.994801i | ||||
\(590\) | −5.56983e7 | − | 3.79744e7i | −0.271197 | − | 0.184899i | ||||
\(591\) | 4.18548e7 | − | 3.33781e7i | 0.202760 | − | 0.161696i | ||||
\(592\) | 1.33222e8 | + | 1.43580e8i | 0.642114 | + | 0.692034i | ||||
\(593\) | 2.96292e7 | + | 1.96577e8i | 0.142087 | + | 0.942688i | 0.940308 | + | 0.340324i | \(0.110537\pi\) |
−0.798221 | + | 0.602365i | \(0.794225\pi\) | |||||||
\(594\) | −8.65405e6 | + | 3.79159e7i | −0.0412915 | + | 0.180910i | ||||
\(595\) | −3.06007e7 | + | 5.30019e7i | −0.145271 | + | 0.251617i | ||||
\(596\) | 1.49061e8 | − | 8.60602e7i | 0.704084 | − | 0.406503i | ||||
\(597\) | 2.02048e8 | − | 6.23235e7i | 0.949580 | − | 0.292906i | ||||
\(598\) | 1.73045e7 | + | 1.37999e7i | 0.0809198 | + | 0.0645314i | ||||
\(599\) | −7.18616e6 | − | 9.58926e7i | −0.0334361 | − | 0.446174i | −0.988648 | − | 0.150251i | \(-0.951992\pi\) |
0.955212 | − | 0.295923i | \(-0.0956273\pi\) | |||||||
\(600\) | 5.48426e7 | − | 2.64108e7i | 0.253901 | − | 0.122272i | ||||
\(601\) | − | 3.30356e7i | − | 0.152181i | −0.997101 | − | 0.0760903i | \(-0.975756\pi\) | ||
0.997101 | − | 0.0760903i | \(-0.0242437\pi\) | |||||||
\(602\) | 3.44495e7 | − | 3.24744e8i | 0.157904 | − | 1.48851i | ||||
\(603\) | 3.09482e8 | 1.41151 | ||||||||
\(604\) | −6.92293e7 | − | 1.43756e8i | −0.314181 | − | 0.652403i | ||||
\(605\) | 1.14846e8 | − | 8.60655e6i | 0.518623 | − | 0.0388654i | ||||
\(606\) | 5.04707e7 | − | 6.32882e7i | 0.226789 | − | 0.284384i | ||||
\(607\) | 6.21920e7 | + | 2.01621e8i | 0.278079 | + | 0.901510i | 0.981618 | + | 0.190854i | \(0.0611257\pi\) |
−0.703539 | + | 0.710656i | \(0.748398\pi\) | |||||||
\(608\) | −1.49189e8 | − | 2.58403e8i | −0.663783 | − | 1.14971i | ||||
\(609\) | −1.29206e8 | − | 7.45974e7i | −0.572048 | − | 0.330272i | ||||
\(610\) | −3.67682e7 | − | 8.39211e6i | −0.161988 | − | 0.0369727i | ||||
\(611\) | 3.11463e7 | − | 4.69455e6i | 0.136547 | − | 0.0205812i | ||||
\(612\) | −3.76980e7 | + | 3.49787e7i | −0.164462 | + | 0.152598i | ||||
\(613\) | −7.11063e7 | − | 8.91645e7i | −0.308693 | − | 0.387089i | 0.603150 | − | 0.797628i | \(-0.293912\pi\) |
−0.911843 | + | 0.410539i | \(0.865341\pi\) | |||||||
\(614\) | 3.19352e8 | − | 4.68403e8i | 1.37964 | − | 2.02355i | ||||
\(615\) | 1.22655e8 | + | 1.13807e8i | 0.527302 | + | 0.489265i | ||||
\(616\) | −2.54674e6 | + | 3.39839e7i | −0.0108954 | + | 0.145389i | ||||
\(617\) | −8.15016e7 | − | 2.07663e8i | −0.346985 | − | 0.884104i | −0.992709 | − | 0.120533i | \(-0.961540\pi\) |
0.645724 | − | 0.763571i | \(-0.276556\pi\) | |||||||
\(618\) | 1.33308e8 | + | 5.84062e8i | 0.564797 | + | 2.47454i | ||||
\(619\) | −2.42085e8 | − | 7.46734e7i | −1.02070 | − | 0.314843i | −0.261151 | − | 0.965298i | \(-0.584102\pi\) |
−0.759545 | + | 0.650455i | \(0.774578\pi\) | |||||||
\(620\) | −7.61190e7 | − | 1.11646e8i | −0.319388 | − | 0.468456i | ||||
\(621\) | 6.93603e6 | − | 4.60175e7i | 0.0289625 | − | 0.192154i | ||||
\(622\) | 4.40959e8 | + | 1.73064e8i | 1.83243 | + | 0.719175i | ||||
\(623\) | −3.05368e8 | − | 1.47058e8i | −1.26287 | − | 0.608168i | ||||
\(624\) | −2.47128e7 | + | 5.13168e7i | −0.101711 | + | 0.211206i | ||||
\(625\) | 2.80935e6 | − | 7.15812e6i | 0.0115071 | − | 0.0293197i | ||||
\(626\) | −1.88590e8 | − | 2.84254e7i | −0.768768 | − | 0.115873i | ||||
\(627\) | 1.08561e8 | − | 7.40159e7i | 0.440426 | − | 0.300277i | ||||
\(628\) | 7.42490e7 | − | 2.40709e8i | 0.299786 | − | 0.971883i | ||||
\(629\) | 8.11944e7 | − | 1.85321e7i | 0.326268 | − | 0.0744685i | ||||
\(630\) | 1.51287e8 | − | 5.93759e7i | 0.605036 | − | 0.237459i | ||||
\(631\) | −1.18316e8 | − | 8.86653e6i | −0.470928 | − | 0.0352911i | −0.162847 | − | 0.986651i | \(-0.552068\pi\) |
−0.308081 | + | 0.951360i | \(0.599687\pi\) | |||||||
\(632\) | 3.37366e7 | − | 3.63594e7i | 0.133644 | − | 0.144034i | ||||
\(633\) | −1.67859e8 | − | 1.14444e8i | −0.661810 | − | 0.451215i | ||||
\(634\) | 2.89525e8 | − | 2.30889e8i | 1.13611 | − | 0.906014i | ||||
\(635\) | 3.38548e7 | + | 3.64868e7i | 0.132221 | + | 0.142500i | ||||
\(636\) | −4.41179e7 | − | 2.92703e8i | −0.171492 | − | 1.13778i | ||||
\(637\) | 2.47217e6 | − | 1.08313e7i | 0.00956447 | − | 0.0419047i | ||||
\(638\) | −2.87815e7 | + | 4.98510e7i | −0.110828 | + | 0.191960i | ||||
\(639\) | 1.81916e8 | − | 1.05029e8i | 0.697219 | − | 0.402539i | ||||
\(640\) | 1.00007e8 | − | 3.08481e7i | 0.381496 | − | 0.117676i | ||||
\(641\) | 2.66935e8 | + | 2.12874e8i | 1.01352 | + | 0.808255i | 0.981544 | − | 0.191234i | \(-0.0612490\pi\) |
0.0319747 | + | 0.999489i | \(0.489820\pi\) | |||||||
\(642\) | 5.28169e7 | + | 7.04792e8i | 0.199603 | + | 2.66352i | ||||
\(643\) | 9.16495e6 | − | 4.41361e6i | 0.0344744 | − | 0.0166020i | −0.416567 | − | 0.909105i | \(-0.636767\pi\) |
0.451042 | + | 0.892503i | \(0.351053\pi\) | |||||||
\(644\) | 1.17345e8i | 0.439346i | ||||||||
\(645\) | −7.17301e7 | − | 2.00788e8i | −0.267314 | − | 0.748271i | ||||
\(646\) | −1.61921e8 | −0.600630 | ||||||||
\(647\) | 5.42323e6 | + | 1.12615e7i | 0.0200238 | + | 0.0415797i | 0.910741 | − | 0.412978i | \(-0.135511\pi\) |
−0.890717 | + | 0.454558i | \(0.849797\pi\) | |||||||
\(648\) | 1.11149e8 | − | 8.32948e6i | 0.408490 | − | 0.0306121i | ||||
\(649\) | −2.63891e7 | + | 3.30908e7i | −0.0965361 | + | 0.121052i | ||||
\(650\) | 1.01434e7 | + | 3.28842e7i | 0.0369356 | + | 0.119742i | ||||
\(651\) | −2.58099e8 | − | 4.47040e8i | −0.935498 | − | 1.62033i | ||||
\(652\) | 1.57783e8 | + | 9.10963e7i | 0.569270 | + | 0.328668i | ||||
\(653\) | −1.25852e8 | − | 2.87249e7i | −0.451982 | − | 0.103162i | −0.00953090 | − | 0.999955i | \(-0.503034\pi\) |
−0.442451 | + | 0.896793i | \(0.645891\pi\) | |||||||
\(654\) | −9.28294e8 | + | 1.39918e8i | −3.31858 | + | 0.500196i | ||||
\(655\) | 5.49297e7 | − | 5.09673e7i | 0.195471 | − | 0.181371i | ||||
\(656\) | −1.89835e8 | − | 2.38046e8i | −0.672458 | − | 0.843236i | ||||
\(657\) | −8.96968e7 | + | 1.31561e8i | −0.316286 | + | 0.463907i | ||||
\(658\) | 2.87374e8 | + | 2.66644e8i | 1.00872 | + | 0.935953i | ||||
\(659\) | 9.17915e6 | − | 1.22487e8i | 0.0320735 | − | 0.427991i | −0.957935 | − | 0.286985i | \(-0.907347\pi\) |
0.990009 | − | 0.141006i | \(-0.0450338\pi\) | |||||||
\(660\) | −2.33915e7 | − | 5.96007e7i | −0.0813630 | − | 0.207310i | ||||
\(661\) | 2.32859e7 | + | 1.02022e8i | 0.0806285 | + | 0.353256i | 0.999109 | − | 0.0422104i | \(-0.0134400\pi\) |
−0.918480 | + | 0.395467i | \(0.870583\pi\) | |||||||
\(662\) | −3.09208e8 | − | 9.53780e7i | −1.06580 | − | 0.328756i | ||||
\(663\) | 1.36427e7 | + | 2.00101e7i | 0.0468122 | + | 0.0686609i | ||||
\(664\) | −1.12902e7 | + | 7.49054e7i | −0.0385653 | + | 0.255864i | ||||
\(665\) | 2.02915e8 | + | 7.96383e7i | 0.690000 | + | 0.270805i | ||||
\(666\) | −1.99257e8 | − | 9.59573e7i | −0.674515 | − | 0.324829i | ||||
\(667\) | 2.98861e7 | − | 6.20591e7i | 0.100714 | − | 0.209136i | ||||
\(668\) | 6.03748e7 | − | 1.53832e8i | 0.202547 | − | 0.516082i | ||||
\(669\) | −1.28986e8 | − | 1.94415e7i | −0.430788 | − | 0.0649308i | ||||
\(670\) | 3.92331e8 | − | 2.67487e8i | 1.30445 | − | 0.889360i | ||||
\(671\) | −6.97943e6 | + | 2.26268e7i | −0.0231022 | + | 0.0748954i | ||||
\(672\) | −5.41512e8 | + | 1.23596e8i | −1.78443 | + | 0.407285i | ||||
\(673\) | −3.35021e8 | + | 1.31486e8i | −1.09907 | + | 0.431355i | −0.844422 | − | 0.535678i | \(-0.820056\pi\) |
−0.254652 | + | 0.967033i | \(0.581961\pi\) | |||||||
\(674\) | −1.67999e8 | − | 1.25898e7i | −0.548689 | − | 0.0411186i | ||||
\(675\) | 4.92152e7 | − | 5.30414e7i | 0.160025 | − | 0.172466i | ||||
\(676\) | 1.85140e8 | + | 1.26226e8i | 0.599321 | + | 0.408610i | ||||
\(677\) | 2.01523e8 | − | 1.60709e8i | 0.649470 | − | 0.517935i | −0.242429 | − | 0.970169i | \(-0.577944\pi\) |
0.891899 | + | 0.452234i | \(0.149373\pi\) | |||||||
\(678\) | 2.45070e8 | + | 2.64123e8i | 0.786324 | + | 0.847456i | ||||
\(679\) | 2.56567e7 | + | 1.70221e8i | 0.0819581 | + | 0.543757i | ||||
\(680\) | 6.10159e6 | − | 2.67328e7i | 0.0194051 | − | 0.0850194i | ||||
\(681\) | −2.56802e8 | + | 4.44793e8i | −0.813123 | + | 1.40837i | ||||
\(682\) | −1.72479e8 | + | 9.95807e7i | −0.543729 | + | 0.313922i | ||||
\(683\) | 1.67972e8 | − | 5.18124e7i | 0.527198 | − | 0.162619i | −0.0197196 | − | 0.999806i | \(-0.506277\pi\) |
0.546917 | + | 0.837187i | \(0.315801\pi\) | |||||||
\(684\) | 1.43205e8 | + | 1.14203e8i | 0.447498 | + | 0.356868i | ||||
\(685\) | −1.61302e7 | − | 2.15242e8i | −0.0501842 | − | 0.669662i | ||||
\(686\) | −3.10796e8 | + | 1.49671e8i | −0.962727 | + | 0.463625i | ||||
\(687\) | − | 5.27049e8i | − | 1.62548i | ||||||
\(688\) | 7.46127e7 | + | 3.80745e8i | 0.229112 | + | 1.16915i | ||||
\(689\) | −5.81565e7 | −0.177804 | ||||||||
\(690\) | 7.80361e7 | + | 1.62044e8i | 0.237546 | + | 0.493270i | ||||
\(691\) | −1.76846e8 | + | 1.32528e7i | −0.535995 | + | 0.0401673i | −0.339978 | − | 0.940433i | \(-0.610420\pi\) |
−0.196017 | + | 0.980601i | \(0.562801\pi\) | |||||||
\(692\) | −1.94733e8 | + | 2.44188e8i | −0.587654 | + | 0.736895i | ||||
\(693\) | −3.00768e7 | − | 9.75066e7i | −0.0903716 | − | 0.292978i | ||||
\(694\) | −7.19745e7 | − | 1.24664e8i | −0.215328 | − | 0.372959i | ||||
\(695\) | 2.65407e8 | + | 1.53233e8i | 0.790601 | + | 0.456454i | ||||
\(696\) | 6.51684e7 | + | 1.48743e7i | 0.193290 | + | 0.0441172i | ||||
\(697\) | −1.28016e8 | + | 1.92953e7i | −0.378065 | + | 0.0569841i | ||||
\(698\) | 8.38194e7 | − | 7.77730e7i | 0.246478 | − | 0.228698i | ||||
\(699\) | −3.74886e7 | − | 4.70092e7i | −0.109766 | − | 0.137642i | ||||
\(700\) | −1.02778e8 | + | 1.50747e8i | −0.299643 | + | 0.439496i | ||||
\(701\) | 2.70389e8 | + | 2.50885e8i | 0.784938 | + | 0.728316i | 0.966946 | − | 0.254981i | \(-0.0820692\pi\) |
−0.182008 | + | 0.983297i | \(0.558260\pi\) | |||||||
\(702\) | −1.90801e6 | + | 2.54607e7i | −0.00551531 | + | 0.0735967i | ||||
\(703\) | −1.08371e8 | − | 2.76126e8i | −0.311924 | − | 0.794769i | ||||
\(704\) | 1.27513e7 | + | 5.58671e7i | 0.0365457 | + | 0.160117i | ||||
\(705\) | 2.44582e8 | + | 7.54436e7i | 0.698003 | + | 0.215306i | ||||
\(706\) | −1.89911e7 | − | 2.78549e7i | −0.0539680 | − | 0.0791566i | ||||
\(707\) | 1.25670e7 | − | 8.33765e7i | 0.0355609 | − | 0.235931i | ||||
\(708\) | −1.31653e8 | − | 5.16699e7i | −0.370962 | − | 0.145592i | ||||
\(709\) | −4.41567e8 | − | 2.12647e8i | −1.23896 | − | 0.596652i | −0.304430 | − | 0.952535i | \(-0.598466\pi\) |
−0.934531 | + | 0.355882i | \(0.884180\pi\) | |||||||
\(710\) | 1.39838e8 | − | 2.90377e8i | 0.390706 | − | 0.811310i | ||||
\(711\) | −5.42578e7 | + | 1.38247e8i | −0.150957 | + | 0.384632i | ||||
\(712\) | 1.50158e8 | + | 2.26326e7i | 0.416013 | + | 0.0627039i | ||||
\(713\) | 1.96908e8 | − | 1.34250e8i | 0.543244 | − | 0.370377i | ||||
\(714\) | −8.88453e7 | + | 2.88029e8i | −0.244084 | + | 0.791302i | ||||
\(715\) | −1.22638e7 | + | 2.79914e6i | −0.0335512 | + | 0.00765783i | ||||
\(716\) | 3.67398e8 | − | 1.44193e8i | 1.00092 | − | 0.392831i | ||||
\(717\) | −1.09404e8 | − | 8.19872e6i | −0.296809 | − | 0.0222428i | ||||
\(718\) | 5.92211e8 | − | 6.38251e8i | 1.59994 | − | 1.72432i | ||||
\(719\) | 5.04857e8 | + | 3.44206e8i | 1.35826 | + | 0.926044i | 0.999971 | − | 0.00756748i | \(-0.00240883\pi\) |
0.358286 | + | 0.933612i | \(0.383361\pi\) | |||||||
\(720\) | −1.50963e8 | + | 1.20389e8i | −0.404458 | + | 0.322545i | ||||
\(721\) | 4.24441e8 | + | 4.57439e8i | 1.13243 | + | 1.22047i | ||||
\(722\) | 1.19174e7 | + | 7.90668e7i | 0.0316643 | + | 0.210079i | ||||
\(723\) | −6.94122e7 | + | 3.04115e8i | −0.183663 | + | 0.804679i | ||||
\(724\) | −1.30892e8 | + | 2.26711e8i | −0.344902 | + | 0.597388i | ||||
\(725\) | 9.27481e7 | − | 5.35482e7i | 0.243384 | − | 0.140518i | ||||
\(726\) | 5.42012e8 | − | 1.67189e8i | 1.41644 | − | 0.436915i | ||||
\(727\) | −1.12478e7 | − | 8.96984e6i | −0.0292729 | − | 0.0233443i | 0.608744 | − | 0.793367i | \(-0.291674\pi\) |
−0.638017 | + | 0.770022i | \(0.720245\pi\) | |||||||
\(728\) | 1.67194e6 | + | 2.23105e7i | 0.00433339 | + | 0.0578250i | ||||
\(729\) | −1.30487e8 | + | 6.28393e7i | −0.336810 | + | 0.162199i | ||||
\(730\) | 2.44305e8i | 0.628006i | ||||||||
\(731\) | 1.56067e8 | + | 5.34718e7i | 0.399538 | + | 0.136890i | ||||
\(732\) | −7.91231e7 | −0.201730 | ||||||||
\(733\) | 2.78648e8 | + | 5.78619e8i | 0.707529 | + | 1.46920i | 0.875405 | + | 0.483390i | \(0.160595\pi\) |
−0.167876 | + | 0.985808i | \(0.553691\pi\) | |||||||
\(734\) | −4.80490e8 | + | 3.60077e7i | −1.21506 | + | 0.0910558i | ||||
\(735\) | 5.62878e7 | − | 7.05827e7i | 0.141760 | − | 0.177761i | ||||
\(736\) | −7.55855e7 | − | 2.45042e8i | −0.189586 | − | 0.614621i | ||||
\(737\) | −1.49065e8 | − | 2.58188e8i | −0.372368 | − | 0.644961i | ||||
\(738\) | 2.97731e8 | + | 1.71895e8i | 0.740722 | + | 0.427656i | ||||
\(739\) | −3.15397e8 | − | 7.19872e7i | −0.781491 | − | 0.178370i | −0.186879 | − | 0.982383i | \(-0.559837\pi\) |
−0.594612 | + | 0.804013i | \(0.702694\pi\) | |||||||
\(740\) | −1.42932e8 | + | 2.15435e7i | −0.352723 | + | 0.0531644i | ||||
\(741\) | 6.32327e7 | − | 5.86714e7i | 0.155413 | − | 0.144202i | ||||
\(742\) | −4.51290e8 | − | 5.65900e8i | −1.10470 | − | 1.38525i | ||||
\(743\) | −1.34819e8 | + | 1.97744e8i | −0.328690 | + | 0.482099i | −0.954639 | − | 0.297764i | \(-0.903759\pi\) |
0.625950 | + | 0.779863i | \(0.284711\pi\) | |||||||
\(744\) | 1.69536e8 | + | 1.57306e8i | 0.411664 | + | 0.381968i | ||||
\(745\) | 2.05351e7 | − | 2.74022e8i | 0.0496625 | − | 0.662700i | ||||
\(746\) | 3.11688e8 | + | 7.94169e8i | 0.750765 | + | 1.91292i | ||||
\(747\) | −5.04712e7 | − | 2.21129e8i | −0.121083 | − | 0.530498i | ||||
\(748\) | 4.73388e7 | + | 1.46021e7i | 0.113113 | + | 0.0348907i | ||||
\(749\) | 4.14710e8 | + | 6.08268e8i | 0.986958 | + | 1.44760i | ||||
\(750\) | −1.07622e8 | + | 7.14023e8i | −0.255103 | + | 1.69250i | ||||
\(751\) | −1.42863e8 | − | 5.60697e7i | −0.337288 | − | 0.132376i | 0.190651 | − | 0.981658i | \(-0.438940\pi\) |
−0.527939 | + | 0.849282i | \(0.677035\pi\) | |||||||
\(752\) | −4.19632e8 | − | 2.02084e8i | −0.986768 | − | 0.475202i | ||||
\(753\) | 4.15990e8 | − | 8.63811e8i | 0.974311 | − | 2.02318i | ||||
\(754\) | −1.38063e7 | + | 3.51780e7i | −0.0322081 | + | 0.0820648i | ||||
\(755\) | −2.51888e8 | − | 3.79661e7i | −0.585285 | − | 0.0882175i | ||||
\(756\) | −1.11843e8 | + | 7.62536e7i | −0.258848 | + | 0.176480i | ||||
\(757\) | 812278. | − | 2.63334e6i | 0.00187248 | − | 0.00607043i | −0.954632 | − | 0.297789i | \(-0.903751\pi\) |
0.956504 | + | 0.291718i | \(0.0942270\pi\) | |||||||
\(758\) | −1.01249e9 | + | 2.31094e8i | −2.32478 | + | 0.530616i | ||||
\(759\) | 1.05117e8 | − | 4.12552e7i | 0.240406 | − | 0.0943525i | ||||
\(760\) | −9.73909e7 | − | 7.29844e6i | −0.221859 | − | 0.0166261i | ||||
\(761\) | −1.59949e8 | + | 1.72384e8i | −0.362934 | + | 0.391150i | −0.887948 | − | 0.459944i | \(-0.847870\pi\) |
0.525014 | + | 0.851094i | \(0.324060\pi\) | |||||||
\(762\) | 2.02544e8 | + | 1.38092e8i | 0.457777 | + | 0.312107i | ||||
\(763\) | −7.64520e8 | + | 6.09684e8i | −1.72114 | + | 1.37256i | ||||
\(764\) | 2.33626e8 | + | 2.51789e8i | 0.523891 | + | 0.564620i | ||||
\(765\) | 1.22367e7 | + | 8.11850e7i | 0.0273325 | + | 0.181339i | ||||
\(766\) | 7.72793e7 | − | 3.38583e8i | 0.171940 | − | 0.753318i | ||||
\(767\) | −1.38932e7 | + | 2.40637e7i | −0.0307904 | + | 0.0533306i | ||||
\(768\) | 6.69841e8 | − | 3.86733e8i | 1.47873 | − | 0.853743i | ||||
\(769\) | 1.21431e8 | − | 3.74565e7i | 0.267024 | − | 0.0823660i | −0.158352 | − | 0.987383i | \(-0.550618\pi\) |
0.425376 | + | 0.905017i | \(0.360142\pi\) | |||||||
\(770\) | −1.22404e8 | − | 9.76137e7i | −0.268116 | − | 0.213815i | ||||
\(771\) | 3.25445e7 | + | 4.34277e8i | 0.0710092 | + | 0.947552i | ||||
\(772\) | 3.11266e8 | − | 1.49898e8i | 0.676518 | − | 0.325794i | ||||
\(773\) | − | 9.13795e8i | − | 1.97838i | −0.146629 | − | 0.989192i | \(-0.546842\pi\) | ||
0.146629 | − | 0.989192i | \(-0.453158\pi\) | |||||||
\(774\) | −2.35489e8 | − | 3.69416e8i | −0.507865 | − | 0.796696i | ||||
\(775\) | 3.70541e8 | 0.796034 | ||||||||
\(776\) | −3.34639e7 | − | 6.94885e7i | −0.0716129 | − | 0.148706i | ||||
\(777\) | −5.50641e8 | + | 4.12648e7i | −1.17383 | + | 0.0879664i | ||||
\(778\) | 3.35694e8 | − | 4.20947e8i | 0.712860 | − | 0.893898i | ||||
\(779\) | 1.35915e8 | + | 4.40625e8i | 0.287511 | + | 0.932087i | ||||
\(780\) | −2.10169e7 | − | 3.64023e7i | −0.0442878 | − | 0.0767087i | ||||
\(781\) | −1.75243e8 | − | 1.01177e8i | −0.367864 | − | 0.212387i | ||||
\(782\) | −1.35671e8 | − | 3.09661e7i | −0.283705 | − | 0.0647539i | ||||
\(783\) | 7.85703e7 | − | 1.18426e7i | 0.163671 | − | 0.0246695i | ||||
\(784\) | −1.20425e8 | + | 1.11738e8i | −0.249902 | + | 0.231875i | ||||
\(785\) | −2.50742e8 | − | 3.14421e8i | −0.518345 | − | 0.649984i | ||||
\(786\) | 2.07893e8 | − | 3.04923e8i | 0.428126 | − | 0.627946i | ||||
\(787\) | −6.64871e8 | − | 6.16910e8i | −1.36400 | − | 1.26560i | −0.931391 | − | 0.364021i | \(-0.881404\pi\) |
−0.432606 | − | 0.901583i | \(-0.642406\pi\) | |||||||
\(788\) | 5.37246e6 | − | 7.16905e7i | 0.0109798 | − | 0.146515i | ||||
\(789\) | −3.59072e8 | − | 9.14900e8i | −0.731056 | − | 1.86270i | ||||
\(790\) | 5.07043e7 | + | 2.22150e8i | 0.102840 | + | 0.450573i | ||||
\(791\) | 3.58630e8 | + | 1.10623e8i | 0.724632 | + | 0.223519i | ||||
\(792\) | 2.57535e7 | + | 3.77735e7i | 0.0518395 | + | 0.0760346i | ||||
\(793\) | −2.31689e6 | + | 1.53716e7i | −0.00464607 | + | 0.0308247i | ||||
\(794\) | 2.60850e8 | + | 1.02376e8i | 0.521111 | + | 0.204521i | ||||
\(795\) | −4.25780e8 | − | 2.05045e8i | −0.847391 | − | 0.408082i | ||||
\(796\) | 1.23200e8 | − | 2.55827e8i | 0.244270 | − | 0.507232i | ||||
\(797\) | 1.70838e7 | − | 4.35287e7i | 0.0337450 | − | 0.0859807i | −0.913008 | − | 0.407942i | \(-0.866247\pi\) |
0.946753 | + | 0.321961i | \(0.104342\pi\) | |||||||
\(798\) | 1.06159e9 | + | 1.60009e8i | 2.08905 | + | 0.314873i | ||||
\(799\) | −1.63629e8 | + | 1.11560e8i | −0.320789 | + | 0.218710i | ||||
\(800\) | 1.17522e8 | − | 3.80996e8i | 0.229534 | − | 0.744132i | ||||
\(801\) | −4.43281e8 | + | 1.01176e8i | −0.862545 | + | 0.196870i | ||||
\(802\) | 9.82824e7 | − | 3.85730e7i | 0.190525 | − | 0.0747757i | ||||
\(803\) | 1.52959e8 | + | 1.14627e7i | 0.295412 | + | 0.0221381i | ||||
\(804\) | 6.77593e8 | − | 7.30272e8i | 1.30377 | − | 1.40513i | ||||
\(805\) | 1.54789e8 | + | 1.05533e8i | 0.296723 | + | 0.202303i | ||||
\(806\) | −1.02225e8 | + | 8.15214e7i | −0.195232 | + | 0.155692i | ||||
\(807\) | −1.18569e8 | − | 1.27788e8i | −0.225607 | − | 0.243146i | ||||
\(808\) | 5.63044e6 | + | 3.73555e7i | 0.0106735 | + | 0.0708142i | ||||
\(809\) | −1.69312e8 | + | 7.41803e8i | −0.319773 | + | 1.40102i | 0.518180 | + | 0.855272i | \(0.326610\pi\) |
−0.837952 | + | 0.545743i | \(0.816247\pi\) | |||||||
\(810\) | −2.56027e8 | + | 4.43451e8i | −0.481759 | + | 0.834431i | ||||
\(811\) | −2.77048e7 | + | 1.59954e7i | −0.0519388 | + | 0.0299869i | −0.525745 | − | 0.850642i | \(-0.676213\pi\) |
0.473806 | + | 0.880629i | \(0.342880\pi\) | |||||||
\(812\) | −1.91453e8 | + | 5.90556e7i | −0.357598 | + | 0.110304i | ||||
\(813\) | 6.17526e7 | + | 4.92460e7i | 0.114917 | + | 0.0916431i | ||||
\(814\) | 1.59210e7 | + | 2.12450e8i | 0.0295186 | + | 0.393899i | ||||
\(815\) | 2.62066e8 | − | 1.26204e8i | 0.484102 | − | 0.233131i | ||||
\(816\) | − | 3.58112e8i | − | 0.659096i | ||||||
\(817\) | 1.05477e8 | − | 5.78046e8i | 0.193416 | − | 1.05998i | ||||
\(818\) | 5.10166e8 | 0.932076 | ||||||||
\(819\) | −2.90657e7 | − | 6.03556e7i | −0.0529090 | − | 0.109867i | ||||
\(820\) | 2.24068e8 | − | 1.67916e7i | 0.406386 | − | 0.0304544i | ||||
\(821\) | −5.56747e8 | + | 6.98139e8i | −1.00607 | + | 1.26157i | −0.0411165 | + | 0.999154i | \(0.513091\pi\) |
−0.964954 | + | 0.262418i | \(0.915480\pi\) | |||||||
\(822\) | −3.13341e8 | − | 1.01583e9i | −0.564159 | − | 1.82896i | ||||
\(823\) | −2.22880e8 | − | 3.86039e8i | −0.399826 | − | 0.692518i | 0.593878 | − | 0.804555i | \(-0.297596\pi\) |
−0.993704 | + | 0.112036i | \(0.964263\pi\) | |||||||
\(824\) | −2.42125e8 | − | 1.39791e8i | −0.432771 | − | 0.249861i | ||||
\(825\) | 1.71172e8 | + | 3.90688e7i | 0.304839 | + | 0.0695774i | ||||
\(826\) | −3.41965e8 | + | 5.15429e7i | −0.606794 | + | 0.0914595i | ||||
\(827\) | 2.45209e8 | − | 2.27521e8i | 0.433531 | − | 0.402258i | −0.432990 | − | 0.901399i | \(-0.642541\pi\) |
0.866521 | + | 0.499141i | \(0.166351\pi\) | |||||||
\(828\) | 9.81491e7 | + | 1.23075e8i | 0.172900 | + | 0.216810i | ||||
\(829\) | 1.34690e8 | − | 1.97554e8i | 0.236414 | − | 0.346755i | −0.689637 | − | 0.724156i | \(-0.742230\pi\) |
0.926050 | + | 0.377401i | \(0.123182\pi\) | |||||||
\(830\) | −2.55105e8 | − | 2.36702e8i | −0.446153 | − | 0.413970i | ||||
\(831\) | 3.67654e7 | − | 4.90601e8i | 0.0640673 | − | 0.854919i | ||||
\(832\) | 1.37442e7 | + | 3.50196e7i | 0.0238643 | + | 0.0608053i | ||||
\(833\) | 1.55435e7 | + | 6.81005e7i | 0.0268914 | + | 0.117819i | ||||
\(834\) | 1.44230e9 | + | 4.44892e8i | 2.48633 | + | 0.766931i | ||||
\(835\) | −1.48622e8 | − | 2.17988e8i | −0.255283 | − | 0.374432i | ||||
\(836\) | 2.62982e7 | − | 1.74477e8i | 0.0450097 | − | 0.298620i | ||||
\(837\) | 2.55911e8 | + | 1.00438e8i | 0.436428 | + | 0.171285i | ||||
\(838\) | −9.45037e8 | − | 4.55106e8i | −1.60589 | − | 0.773358i | ||||
\(839\) | 1.15998e8 | − | 2.40872e8i | 0.196410 | − | 0.407850i | −0.779382 | − | 0.626549i | \(-0.784467\pi\) |
0.975792 | + | 0.218699i | \(0.0701812\pi\) | |||||||
\(840\) | −6.64204e7 | + | 1.69236e8i | −0.112063 | + | 0.285533i | ||||
\(841\) | −4.71887e8 | − | 7.11255e7i | −0.793323 | − | 0.119574i | ||||
\(842\) | −1.07387e9 | + | 7.32149e8i | −1.79893 | + | 1.22649i | ||||
\(843\) | −1.96664e8 | + | 6.37569e8i | −0.328278 | + | 1.06425i | ||||
\(844\) | −2.65985e8 | + | 6.07094e7i | −0.442415 | + | 0.100978i | ||||
\(845\) | 3.33008e8 | − | 1.30696e8i | 0.551930 | − | 0.216617i | ||||
\(846\) | 5.24432e8 | + | 3.93007e7i | 0.866120 | + | 0.0649067i | ||||
\(847\) | 4.01862e8 | − | 4.33104e8i | 0.661342 | − | 0.712758i | ||||
\(848\) | 7.10523e8 | + | 4.84427e8i | 1.16517 | + | 0.794402i | ||||
\(849\) | −9.02023e8 | + | 7.19339e8i | −1.47399 | + | 1.17547i | ||||
\(850\) | −1.47168e8 | − | 1.58609e8i | −0.239638 | − | 0.258269i | ||||
\(851\) | −3.79958e7 | − | 2.52086e8i | −0.0616520 | − | 0.409034i | ||||
\(852\) | 1.50462e8 | − | 6.59215e8i | 0.243280 | − | 1.06588i | ||||
\(853\) | 1.85633e7 | − | 3.21526e7i | 0.0299095 | − | 0.0518048i | −0.850683 | − | 0.525679i | \(-0.823811\pi\) |
0.880593 | + | 0.473874i | \(0.157145\pi\) | |||||||
\(854\) | −1.67554e8 | + | 9.67373e7i | −0.269018 | + | 0.155317i | ||||
\(855\) | 2.79434e8 | − | 8.61941e7i | 0.447076 | − | 0.137905i | ||||
\(856\) | −2.57877e8 | − | 2.05650e8i | −0.411142 | − | 0.327875i | ||||
\(857\) | 1.81328e7 | + | 2.41965e8i | 0.0288086 | + | 0.384423i | 0.992908 | + | 0.118883i | \(0.0379313\pi\) |
−0.964100 | + | 0.265540i | \(0.914450\pi\) | |||||||
\(858\) | −5.58181e7 | + | 2.68806e7i | −0.0883716 | + | 0.0425575i | ||||
\(859\) | 3.70494e8i | 0.584523i | 0.956338 | + | 0.292261i | \(0.0944078\pi\) | ||||
−0.956338 | + | 0.292261i | \(0.905592\pi\) | |||||||
\(860\) | −2.63179e8 | − | 1.12789e8i | −0.413767 | − | 0.177326i | ||||
\(861\) | 8.58368e8 | 1.34482 | ||||||||
\(862\) | −8.96630e7 | − | 1.86187e8i | −0.139988 | − | 0.290689i | ||||
\(863\) | −2.26789e8 | + | 1.69955e7i | −0.352849 | + | 0.0264424i | −0.249976 | − | 0.968252i | \(-0.580423\pi\) |
−0.102873 | + | 0.994694i | \(0.532804\pi\) | |||||||
\(864\) | 1.84437e8 | − | 2.31276e8i | 0.285961 | − | 0.358583i | ||||
\(865\) | 1.46974e8 | + | 4.76479e8i | 0.227088 | + | 0.736200i | ||||
\(866\) | 6.35614e8 | + | 1.10092e9i | 0.978678 | + | 1.69512i | ||||
\(867\) | 6.07435e8 | + | 3.50703e8i | 0.932058 | + | 0.538124i | ||||
\(868\) | −6.75825e8 | − | 1.54253e8i | −1.03342 | − | 0.235870i | ||||
\(869\) | 1.41467e8 | − | 2.13227e7i | 0.215574 | − | 0.0324925i | ||||
\(870\) | −2.25108e8 | + | 2.08870e8i | −0.341849 | + | 0.317189i | ||||
\(871\) | −1.22031e8 | − | 1.53023e8i | −0.184679 | − | 0.231580i | ||||
\(872\) | 2.46798e8 | − | 3.61986e8i | 0.372214 | − | 0.545937i | ||||
\(873\) | 1.69285e8 | + | 1.57074e8i | 0.254435 | + | 0.236081i | ||||
\(874\) | −3.70402e7 | + | 4.94267e8i | −0.0554803 | + | 0.740333i | ||||
\(875\) | 2.74790e8 | + | 7.00153e8i | 0.410182 | + | 1.04513i | ||||
\(876\) | 1.14053e8 | + | 4.99698e8i | 0.169666 | + | 0.743354i | ||||
\(877\) | 5.23003e8 | + | 1.61325e8i | 0.775363 | + | 0.239168i | 0.657089 | − | 0.753813i | \(-0.271788\pi\) |
0.118274 | + | 0.992981i | \(0.462264\pi\) | |||||||
\(878\) | 6.60543e8 | + | 9.68839e8i | 0.975928 | + | 1.43142i | ||||
\(879\) | −9.97757e7 | + | 6.61968e8i | −0.146912 | + | 0.974699i | ||||
\(880\) | 1.73148e8 | + | 6.79557e7i | 0.254080 | + | 0.0997190i | ||||
\(881\) | −3.15385e8 | − | 1.51881e8i | −0.461226 | − | 0.222114i | 0.188817 | − | 0.982012i | \(-0.439535\pi\) |
−0.650043 | + | 0.759898i | \(0.725249\pi\) | |||||||
\(882\) | 8.04827e7 | − | 1.67124e8i | 0.117300 | − | 0.243575i | ||||
\(883\) | −3.32742e8 | + | 8.47814e8i | −0.483310 | + | 1.23145i | 0.456490 | + | 0.889729i | \(0.349107\pi\) |
−0.939800 | + | 0.341726i | \(0.888989\pi\) | |||||||
\(884\) | 3.21597e7 | + | 4.84730e6i | 0.0465539 | + | 0.00701687i | ||||
\(885\) | −1.86558e8 | + | 1.27193e8i | −0.269144 | + | 0.183499i | ||||
\(886\) | −4.96936e8 | + | 1.61103e9i | −0.714495 | + | 2.31634i | ||||
\(887\) | 4.48449e8 | − | 1.02356e8i | 0.642603 | − | 0.146670i | 0.111212 | − | 0.993797i | \(-0.464527\pi\) |
0.531391 | + | 0.847127i | \(0.321670\pi\) | |||||||
\(888\) | 2.30296e8 | − | 9.03845e7i | 0.328887 | − | 0.129079i | ||||
\(889\) | 2.54629e8 | + | 1.90818e7i | 0.362413 | + | 0.0271591i | ||||
\(890\) | −4.74501e8 | + | 5.11390e8i | −0.673080 | + | 0.725408i | ||||
\(891\) | 2.65631e8 | + | 1.81104e8i | 0.375531 | + | 0.256033i | ||||
\(892\) | −1.36955e8 | + | 1.09218e8i | −0.192967 | + | 0.153886i | ||||
\(893\) | 4.79773e8 | + | 5.17072e8i | 0.673723 | + | 0.726100i | ||||
\(894\) | −2.01708e8 | − | 1.33825e9i | −0.282300 | − | 1.87294i | ||||
\(895\) | 1.40213e8 | − | 6.14311e8i | 0.195577 | − | 0.856879i | ||||
\(896\) | 2.68448e8 | − | 4.64966e8i | 0.373195 | − | 0.646393i | ||||
\(897\) | 6.42020e7 | − | 3.70670e7i | 0.0889551 | − | 0.0513583i | ||||
\(898\) | 2.37722e8 | − | 7.33276e7i | 0.328277 | − | 0.101260i | ||||
\(899\) | 3.18131e8 | + | 2.53701e8i | 0.437852 | + | 0.349175i | ||||
\(900\) | 1.82907e7 | + | 2.44073e8i | 0.0250902 | + | 0.334805i | ||||
\(901\) | 3.29441e8 | − | 1.58651e8i | 0.450405 | − | 0.216904i | ||||
\(902\) | − | 3.31179e8i | − | 0.451277i | ||||||
\(903\) | −9.70366e8 | − | 5.04796e8i | −1.31787 | − | 0.685571i | ||||
\(904\) | −1.68149e8 | −0.227609 | ||||||||
\(905\) | 1.81336e8 | + | 3.76548e8i | 0.244646 | + | 0.508013i | ||||
\(906\) | −1.25107e9 | + | 9.37548e7i | −1.68228 | + | 0.126069i | ||||
\(907\) | −4.83730e8 | + | 6.06579e8i | −0.648308 | + | 0.812953i | −0.992014 | − | 0.126125i | \(-0.959746\pi\) |
0.343706 | + | 0.939077i | \(0.388318\pi\) | |||||||
\(908\) | 2.03299e8 | + | 6.59079e8i | 0.271567 | + | 0.880399i | ||||
\(909\) | −5.65567e7 | − | 9.79591e7i | −0.0752996 | − | 0.130423i | ||||
\(910\) | −8.90121e7 | − | 5.13912e7i | −0.118120 | − | 0.0681968i | ||||
\(911\) | 8.41547e8 | + | 1.92078e8i | 1.11307 | + | 0.254051i | 0.739238 | − | 0.673444i | \(-0.235186\pi\) |
0.373834 | + | 0.927496i | \(0.378043\pi\) | |||||||
\(912\) | −1.26126e9 | + | 1.90104e8i | −1.66272 | + | 0.250615i | ||||
\(913\) | −1.60168e8 | + | 1.48615e8i | −0.210457 | + | 0.195276i | ||||
\(914\) | −8.14612e8 | − | 1.02149e9i | −1.06687 | − | 1.33781i | ||||
\(915\) | −7.11587e7 | + | 1.04371e8i | −0.0928891 | + | 0.136243i | ||||
\(916\) | −5.18838e8 | − | 4.81411e8i | −0.675065 | − | 0.626369i | ||||
\(917\) | 2.87271e7 | − | 3.83336e8i | 0.0372549 | − | 0.497132i | ||||
\(918\) | −5.86481e7 | − | 1.49433e8i | −0.0758099 | − | 0.193161i | ||||
\(919\) | −5.67101e7 | − | 2.48463e8i | −0.0730658 | − | 0.320122i | 0.925166 | − | 0.379563i | \(-0.123925\pi\) |
−0.998232 | + | 0.0594405i | \(0.981068\pi\) | |||||||
\(920\) | −8.02063e7 | − | 2.47404e7i | −0.103002 | − | 0.0317719i | ||||
\(921\) | −1.06965e9 | − | 1.56889e9i | −1.36919 | − | 2.00823i | ||||
\(922\) | 2.35665e8 | − | 1.56354e9i | 0.300679 | − | 1.99487i | ||||
\(923\) | −1.23663e8 | − | 4.85340e7i | −0.157265 | − | 0.0617221i | ||||
\(924\) | −2.95933e8 | − | 1.42514e8i | −0.375127 | − | 0.180652i | ||||
\(925\) | 1.71980e8 | − | 3.57121e8i | 0.217297 | − | 0.451222i | ||||
\(926\) | −6.52104e8 | + | 1.66154e9i | −0.821267 | + | 2.09255i | ||||
\(927\) | 8.27776e8 | + | 1.24767e8i | 1.03914 | + | 0.156625i | ||||
\(928\) | 3.61758e8 | − | 2.46642e8i | 0.452662 | − | 0.308620i | ||||
\(929\) | −3.58472e8 | + | 1.16214e9i | −0.447104 | + | 1.44947i | 0.399245 | + | 0.916844i | \(0.369272\pi\) |
−0.846348 | + | 0.532630i | \(0.821204\pi\) | |||||||
\(930\) | −1.03584e9 | + | 2.36423e8i | −1.28778 | + | 0.293928i | ||||
\(931\) | 2.31596e8 | − | 9.08947e7i | 0.287000 | − | 0.112639i | ||||
\(932\) | −8.05192e7 | − | 6.03408e6i | −0.0994607 | − | 0.00745355i | ||||
\(933\) | 1.07919e9 | − | 1.16309e9i | 1.32878 | − | 1.43209i | ||||
\(934\) | 8.73105e8 | + | 5.95273e8i | 1.07158 | + | 0.730593i | ||||
\(935\) | 6.18352e7 | − | 4.93120e7i | 0.0756487 | − | 0.0603278i | ||||
\(936\) | 2.04145e7 | + | 2.20016e7i | 0.0248949 | + | 0.0268303i | ||||
\(937\) | −4.21987e7 | − | 2.79970e8i | −0.0512957 | − | 0.340325i | −0.999728 | − | 0.0233434i | \(-0.992569\pi\) |
0.948432 | − | 0.316981i | \(-0.102669\pi\) | |||||||
\(938\) | 5.42053e8 | − | 2.37489e9i | 0.656800 | − | 2.87763i | ||||
\(939\) | −3.19403e8 | + | 5.53222e8i | −0.385782 | + | 0.668194i | ||||
\(940\) | 2.97672e8 | − | 1.71861e8i | 0.358388 | − | 0.206916i | ||||
\(941\) | −1.34762e9 | + | 4.15686e8i | −1.61733 | + | 0.498880i | −0.965701 | − | 0.259657i | \(-0.916390\pi\) |
−0.651629 | + | 0.758538i | \(0.725914\pi\) | |||||||
\(942\) | −1.54854e9 | − | 1.23492e9i | −1.85255 | − | 1.47736i | ||||
\(943\) | 2.96150e7 | + | 3.95184e8i | 0.0353164 | + | 0.471264i | ||||
\(944\) | 3.70182e8 | − | 1.78270e8i | 0.440048 | − | 0.211916i | ||||
\(945\) | 2.16110e8i | 0.256082i | ||||||||
\(946\) | −1.94762e8 | + | 3.74391e8i | −0.230055 | + | 0.442234i | ||||
\(947\) | 2.29422e8 | 0.270137 | 0.135069 | − | 0.990836i | \(-0.456874\pi\) | ||||
0.135069 | + | 0.990836i | \(0.456874\pi\) | |||||||
\(948\) | 2.07420e8 | + | 4.30712e8i | 0.243459 | + | 0.505548i | ||||
\(949\) | 1.00418e8 | − | 7.52530e6i | 0.117493 | − | 0.00880491i | ||||
\(950\) | −4.80491e8 | + | 6.02517e8i | −0.560421 | + | 0.702746i | ||||
\(951\) | −3.65601e8 | − | 1.18525e9i | −0.425075 | − | 1.37806i | ||||
\(952\) | −7.03341e7 | − | 1.21822e8i | −0.0815183 | − | 0.141194i | ||||
\(953\) | 9.32307e8 | + | 5.38267e8i | 1.07716 | + | 0.621898i | 0.930129 | − | 0.367234i | \(-0.119695\pi\) |
0.147031 | + | 0.989132i | \(0.453028\pi\) | |||||||
\(954\) | −9.46655e8 | − | 2.16068e8i | −1.09030 | − | 0.248854i | ||||
\(955\) | 5.42242e8 | − | 8.17298e7i | 0.622563 | − | 0.0938362i | ||||
\(956\) | −1.08002e8 | + | 1.00211e8i | −0.123611 | + | 0.114694i | ||||
\(957\) | 1.20211e8 | + | 1.50740e8i | 0.137154 | + | 0.171986i | ||||
\(958\) | 6.87696e8 | − | 1.00866e9i | 0.782167 | − | 1.14723i | ||||
\(959\) | −8.11712e8 | − | 7.53158e8i | −0.920335 | − | 0.853946i | ||||
\(960\) | −2.28451e7 | + | 3.04846e8i | −0.0258214 | + | 0.344562i | ||||
\(961\) | 1.90102e8 | + | 4.84373e8i | 0.214199 | + | 0.545770i | ||||
\(962\) | 3.11230e7 | + | 1.36359e8i | 0.0349588 | + | 0.153165i | ||||
\(963\) | 9.43725e8 | + | 2.91101e8i | 1.05674 | + | 0.325960i | ||||
\(964\) | 2.35975e8 | + | 3.46112e8i | 0.263412 | + | 0.386354i | ||||
\(965\) | 8.22054e7 | − | 5.45397e8i | 0.0914784 | − | 0.606920i | ||||
\(966\) | 8.58888e8 | + | 3.37089e8i | 0.952808 | + | 0.373949i | ||||
\(967\) | 5.70795e8 | + | 2.74880e8i | 0.631249 | + | 0.303993i | 0.722013 | − | 0.691879i | \(-0.243217\pi\) |
−0.0907647 | + | 0.995872i | \(0.528931\pi\) | |||||||
\(968\) | −1.14853e8 | + | 2.38494e8i | −0.126624 | + | 0.262937i | ||||
\(969\) | −1.98141e8 | + | 5.04856e8i | −0.217773 | + | 0.554876i | ||||
\(970\) | 3.50362e8 | + | 5.28086e7i | 0.383886 | + | 0.0578615i | ||||
\(971\) | −1.22484e9 | + | 8.35084e8i | −1.33790 | + | 0.912163i | −0.999583 | − | 0.0288699i | \(-0.990809\pi\) |
−0.338315 | + | 0.941033i | \(0.609857\pi\) | |||||||
\(972\) | −2.41875e8 | + | 7.84140e8i | −0.263386 | + | 0.853876i | ||||
\(973\) | 1.53277e9 | − | 3.49845e8i | 1.66394 | − | 0.379784i | ||||
\(974\) | 1.26756e9 | − | 4.97480e8i | 1.37180 | − | 0.538392i | ||||
\(975\) | 1.14942e8 | + | 8.61375e6i | 0.124013 | + | 0.00929348i | ||||
\(976\) | 1.56347e8 | − | 1.68502e8i | 0.168167 | − | 0.181241i | ||||
\(977\) | 1.44882e8 | + | 9.87790e7i | 0.155357 | + | 0.105921i | 0.638504 | − | 0.769619i | \(-0.279554\pi\) |
−0.483146 | + | 0.875540i | \(0.660506\pi\) | |||||||
\(978\) | 1.12002e9 | − | 8.93185e8i | 1.19732 | − | 0.954827i | ||||
\(979\) | 2.97917e8 | + | 3.21078e8i | 0.317503 | + | 0.342186i | ||||
\(980\) | −1.80693e7 | − | 1.19882e8i | −0.0191983 | − | 0.127372i | ||||
\(981\) | −2.91903e8 | + | 1.27891e9i | −0.309195 | + | 1.35467i | ||||
\(982\) | −9.82534e8 | + | 1.70180e9i | −1.03756 | + | 1.79711i | ||||
\(983\) | 3.72486e8 | − | 2.15055e8i | 0.392147 | − | 0.226406i | −0.290943 | − | 0.956740i | \(-0.593969\pi\) |
0.683090 | + | 0.730334i | \(0.260636\pi\) | |||||||
\(984\) | −3.67493e8 | + | 1.13356e8i | −0.385712 | + | 0.118976i | ||||
\(985\) | −8.97347e7 | − | 7.15610e7i | −0.0938970 | − | 0.0748803i | ||||
\(986\) | −1.77560e7 | − | 2.36938e8i | −0.0185231 | − | 0.247174i | ||||
\(987\) | 1.18303e9 | − | 5.69716e8i | 1.23039 | − | 0.592525i | ||||
\(988\) | − | 1.15839e8i | − | 0.120111i | ||||||
\(989\) | 1.98924e8 | − | 4.64163e8i | 0.205636 | − | 0.479824i | ||||
\(990\) | −2.10026e8 | −0.216455 | ||||||||
\(991\) | 5.05877e8 | + | 1.05046e9i | 0.519785 | + | 1.07934i | 0.981348 | + | 0.192237i | \(0.0615744\pi\) |
−0.461563 | + | 0.887107i | \(0.652711\pi\) | |||||||
\(992\) | 1.51063e9 | − | 1.13206e8i | 1.54747 | − | 0.115967i | ||||
\(993\) | −6.75754e8 | + | 8.47368e8i | −0.690145 | + | 0.865415i | ||||
\(994\) | −4.87346e8 | − | 1.57994e9i | −0.496224 | − | 1.60872i | ||||
\(995\) | −2.26661e8 | − | 3.92588e8i | −0.230095 | − | 0.398536i | ||||
\(996\) | −6.32291e8 | − | 3.65053e8i | −0.639940 | − | 0.369469i | ||||
\(997\) | 533004. | + | 121655.i | 0.000537830 | + | 0.000122756i | 0.222790 | − | 0.974866i | \(-0.428484\pi\) |
−0.222252 | + | 0.974989i | \(0.571341\pi\) | |||||||
\(998\) | −1.88905e9 | + | 2.84729e8i | −1.90043 | + | 0.286444i | ||||
\(999\) | 2.15577e8 | − | 2.00026e8i | 0.216225 | − | 0.200627i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 43.7.h.a.29.4 | yes | 252 | |
43.3 | odd | 42 | inner | 43.7.h.a.3.4 | ✓ | 252 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.7.h.a.3.4 | ✓ | 252 | 43.3 | odd | 42 | inner | |
43.7.h.a.29.4 | yes | 252 | 1.1 | even | 1 | trivial |