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 | 7.20 | ||
Character | \(\chi\) | \(=\) | 69.7 |
Dual form | 69.7.f.a.10.20 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 6.34640 | − | 7.32413i | 0.793300 | − | 0.915517i | −0.204694 | − | 0.978826i | \(-0.565620\pi\) |
0.997994 | + | 0.0633094i | \(0.0201655\pi\) | |||||||
\(3\) | 13.1138 | − | 8.42776i | 0.485698 | − | 0.312139i | ||||
\(4\) | −4.25801 | − | 29.6151i | −0.0665315 | − | 0.462736i | ||||
\(5\) | 79.9255 | − | 36.5007i | 0.639404 | − | 0.292006i | −0.0692104 | − | 0.997602i | \(-0.522048\pi\) |
0.708614 | + | 0.705596i | \(0.249321\pi\) | |||||||
\(6\) | 21.4997 | − | 149.533i | 0.0995355 | − | 0.692284i | ||||
\(7\) | −34.3232 | − | 116.894i | −0.100068 | − | 0.340799i | 0.894207 | − | 0.447654i | \(-0.147740\pi\) |
−0.994275 | + | 0.106855i | \(0.965922\pi\) | |||||||
\(8\) | 277.849 | + | 178.563i | 0.542674 | + | 0.348755i | ||||
\(9\) | 100.946 | − | 221.041i | 0.138472 | − | 0.303211i | ||||
\(10\) | 239.903 | − | 817.033i | 0.239903 | − | 0.817033i | ||||
\(11\) | 1331.17 | − | 1153.47i | 1.00013 | − | 0.866618i | 0.00906057 | − | 0.999959i | \(-0.497116\pi\) |
0.991070 | + | 0.133341i | \(0.0425704\pi\) | |||||||
\(12\) | −305.428 | − | 352.483i | −0.176752 | − | 0.203983i | ||||
\(13\) | −2552.02 | − | 749.340i | −1.16159 | − | 0.341074i | −0.356541 | − | 0.934280i | \(-0.616044\pi\) |
−0.805051 | + | 0.593206i | \(0.797862\pi\) | |||||||
\(14\) | −1073.98 | − | 490.468i | −0.391390 | − | 0.178742i | ||||
\(15\) | 740.511 | − | 1152.26i | 0.219411 | − | 0.341410i | ||||
\(16\) | 4908.45 | − | 1441.25i | 1.19835 | − | 0.351868i | ||||
\(17\) | 2066.67 | + | 297.142i | 0.420653 | + | 0.0604808i | 0.349391 | − | 0.936977i | \(-0.386388\pi\) |
0.0712618 | + | 0.997458i | \(0.477297\pi\) | |||||||
\(18\) | −978.288 | − | 2142.15i | −0.167745 | − | 0.367310i | ||||
\(19\) | −2203.06 | + | 316.753i | −0.321193 | + | 0.0461806i | −0.301026 | − | 0.953616i | \(-0.597329\pi\) |
−0.0201674 | + | 0.999797i | \(0.506420\pi\) | |||||||
\(20\) | −1421.30 | − | 2211.58i | −0.177662 | − | 0.276448i | ||||
\(21\) | −1435.26 | − | 1243.66i | −0.154979 | − | 0.134290i | ||||
\(22\) | − | 17070.1i | − | 1.60312i | ||||||
\(23\) | 4268.24 | − | 11393.8i | 0.350804 | − | 0.936449i | ||||
\(24\) | 5148.55 | 0.372436 | ||||||||
\(25\) | −5176.42 | + | 5973.91i | −0.331291 | + | 0.382330i | ||||
\(26\) | −21684.4 | + | 13935.7i | −1.23375 | + | 0.792883i | ||||
\(27\) | −539.088 | − | 3749.44i | −0.0273885 | − | 0.190491i | ||||
\(28\) | −3315.68 | + | 1514.22i | −0.151042 | + | 0.0689787i | ||||
\(29\) | −5683.62 | + | 39530.4i | −0.233040 | + | 1.62083i | 0.451788 | + | 0.892126i | \(0.350787\pi\) |
−0.684828 | + | 0.728705i | \(0.740123\pi\) | |||||||
\(30\) | −3739.71 | − | 12736.3i | −0.138508 | − | 0.471714i | ||||
\(31\) | −20746.6 | − | 13333.0i | −0.696404 | − | 0.447552i | 0.143953 | − | 0.989585i | \(-0.454019\pi\) |
−0.840357 | + | 0.542033i | \(0.817655\pi\) | |||||||
\(32\) | 11814.1 | − | 25869.2i | 0.360537 | − | 0.789465i | ||||
\(33\) | 7735.66 | − | 26345.2i | 0.215256 | − | 0.733095i | ||||
\(34\) | 15292.2 | − | 13250.8i | 0.389075 | − | 0.337136i | ||||
\(35\) | −7010.01 | − | 8089.99i | −0.163499 | − | 0.188688i | ||||
\(36\) | −6975.97 | − | 2048.33i | −0.149519 | − | 0.0439028i | ||||
\(37\) | 8549.41 | + | 3904.38i | 0.168784 | + | 0.0770810i | 0.498015 | − | 0.867168i | \(-0.334062\pi\) |
−0.329231 | + | 0.944249i | \(0.606790\pi\) | |||||||
\(38\) | −11661.6 | + | 18145.8i | −0.212523 | + | 0.330693i | ||||
\(39\) | −39782.0 | + | 11681.1i | −0.670645 | + | 0.196919i | ||||
\(40\) | 28724.9 | + | 4130.02i | 0.448826 | + | 0.0645315i | ||||
\(41\) | −7153.06 | − | 15663.0i | −0.103786 | − | 0.227260i | 0.850614 | − | 0.525791i | \(-0.176231\pi\) |
−0.954400 | + | 0.298531i | \(0.903503\pi\) | |||||||
\(42\) | −18217.5 | + | 2619.28i | −0.245890 | + | 0.0353536i | ||||
\(43\) | 32938.7 | + | 51253.7i | 0.414287 | + | 0.644643i | 0.984200 | − | 0.177062i | \(-0.0566593\pi\) |
−0.569912 | + | 0.821705i | \(0.693023\pi\) | |||||||
\(44\) | −39828.3 | − | 34511.4i | −0.467556 | − | 0.405140i | ||||
\(45\) | − | 21351.4i | − | 0.234309i | ||||||
\(46\) | −56361.6 | − | 103571.i | −0.579041 | − | 1.06405i | ||||
\(47\) | −27056.0 | −0.260598 | −0.130299 | − | 0.991475i | \(-0.541594\pi\) | ||||
−0.130299 | + | 0.991475i | \(0.541594\pi\) | |||||||
\(48\) | 52222.2 | − | 60267.6i | 0.472206 | − | 0.544954i | ||||
\(49\) | 86486.5 | − | 55581.5i | 0.735123 | − | 0.472435i | ||||
\(50\) | 10902.1 | + | 75825.6i | 0.0872166 | + | 0.606605i | ||||
\(51\) | 29606.2 | − | 13520.7i | 0.223189 | − | 0.101927i | ||||
\(52\) | −11325.3 | + | 78769.0i | −0.0805450 | + | 0.560203i | ||||
\(53\) | 69929.4 | + | 238158.i | 0.469712 | + | 1.59969i | 0.764830 | + | 0.644233i | \(0.222823\pi\) |
−0.295117 | + | 0.955461i | \(0.595359\pi\) | |||||||
\(54\) | −30882.7 | − | 19847.1i | −0.196125 | − | 0.126042i | ||||
\(55\) | 64292.3 | − | 140780.i | 0.386430 | − | 0.846163i | ||||
\(56\) | 11336.3 | − | 38607.7i | 0.0645514 | − | 0.219842i | ||||
\(57\) | −26221.1 | + | 22720.7i | −0.141588 | + | 0.122687i | ||||
\(58\) | 253456. | + | 292503.i | 1.29903 | + | 1.49916i | ||||
\(59\) | 247140. | + | 72566.9i | 1.20334 | + | 0.353332i | 0.821128 | − | 0.570744i | \(-0.193345\pi\) |
0.382209 | + | 0.924076i | \(0.375163\pi\) | |||||||
\(60\) | −37277.4 | − | 17024.0i | −0.172580 | − | 0.0788148i | ||||
\(61\) | 8137.85 | − | 12662.7i | 0.0358525 | − | 0.0557876i | −0.822865 | − | 0.568237i | \(-0.807626\pi\) |
0.858717 | + | 0.512450i | \(0.171262\pi\) | |||||||
\(62\) | −229319. | + | 67334.1i | −0.962199 | + | 0.282527i | ||||
\(63\) | −29303.1 | − | 4213.15i | −0.117190 | − | 0.0168494i | ||||
\(64\) | 21515.5 | + | 47112.4i | 0.0820752 | + | 0.179720i | ||||
\(65\) | −231323. | + | 33259.2i | −0.842322 | + | 0.121108i | ||||
\(66\) | −143862. | − | 223854.i | −0.500398 | − | 0.778634i | ||||
\(67\) | 240994. | + | 208822.i | 0.801274 | + | 0.694308i | 0.955909 | − | 0.293663i | \(-0.0948745\pi\) |
−0.154634 | + | 0.987972i | \(0.549420\pi\) | |||||||
\(68\) | − | 62469.9i | − | 0.198675i | ||||||
\(69\) | −40050.9 | − | 185388.i | −0.121917 | − | 0.564331i | ||||
\(70\) | −103740. | −0.302450 | ||||||||
\(71\) | −38509.2 | + | 44442.0i | −0.107594 | + | 0.124171i | −0.806992 | − | 0.590562i | \(-0.798906\pi\) |
0.699398 | + | 0.714733i | \(0.253452\pi\) | |||||||
\(72\) | 67517.3 | − | 43390.8i | 0.180891 | − | 0.116252i | ||||
\(73\) | 70725.9 | + | 491909.i | 0.181807 | + | 1.26449i | 0.852488 | + | 0.522747i | \(0.175093\pi\) |
−0.670681 | + | 0.741746i | \(0.733998\pi\) | |||||||
\(74\) | 82854.2 | − | 37838.2i | 0.204465 | − | 0.0933761i | ||||
\(75\) | −17536.1 | + | 121967.i | −0.0415672 | + | 0.289106i | ||||
\(76\) | 18761.3 | + | 63895.3i | 0.0427389 | + | 0.145555i | ||||
\(77\) | −180524. | − | 116016.i | −0.395423 | − | 0.254123i | ||||
\(78\) | −166919. | + | 365501.i | −0.351740 | + | 0.770203i | ||||
\(79\) | −244482. | + | 832629.i | −0.495868 | + | 1.68877i | 0.207743 | + | 0.978184i | \(0.433388\pi\) |
−0.703610 | + | 0.710586i | \(0.748430\pi\) | |||||||
\(80\) | 339704. | − | 294355.i | 0.663484 | − | 0.574912i | ||||
\(81\) | −38668.9 | − | 44626.3i | −0.0727623 | − | 0.0839722i | ||||
\(82\) | −160114. | − | 47013.7i | −0.290394 | − | 0.0852674i | ||||
\(83\) | −660482. | − | 301632.i | −1.15512 | − | 0.527525i | −0.256625 | − | 0.966511i | \(-0.582611\pi\) |
−0.898494 | + | 0.438985i | \(0.855338\pi\) | |||||||
\(84\) | −30719.9 | + | 47801.0i | −0.0518300 | + | 0.0806491i | ||||
\(85\) | 176025. | − | 51685.7i | 0.286628 | − | 0.0841616i | ||||
\(86\) | 584431. | + | 84028.5i | 0.918836 | + | 0.132109i | ||||
\(87\) | 258619. | + | 566296.i | 0.392737 | + | 0.859975i | ||||
\(88\) | 575832. | − | 82792.2i | 0.844983 | − | 0.121490i | ||||
\(89\) | −301763. | − | 469553.i | −0.428052 | − | 0.666062i | 0.558501 | − | 0.829504i | \(-0.311377\pi\) |
−0.986553 | + | 0.163442i | \(0.947740\pi\) | |||||||
\(90\) | −156380. | − | 135504.i | −0.214513 | − | 0.185877i | ||||
\(91\) | 324035.i | 0.429999i | ||||||||
\(92\) | −355602. | − | 77889.6i | −0.456668 | − | 0.100027i | ||||
\(93\) | −384435. | −0.477941 | ||||||||
\(94\) | −171708. | + | 198162.i | −0.206732 | + | 0.238582i | ||||
\(95\) | −164519. | + | 105730.i | −0.191887 | + | 0.123318i | ||||
\(96\) | −63091.4 | − | 438810.i | −0.0713110 | − | 0.495979i | ||||
\(97\) | 234785. | − | 107223.i | 0.257249 | − | 0.117482i | −0.282616 | − | 0.959233i | \(-0.591202\pi\) |
0.539866 | + | 0.841751i | \(0.318475\pi\) | |||||||
\(98\) | 141791. | − | 986181.i | 0.150651 | − | 1.04780i | ||||
\(99\) | −120587. | − | 410681.i | −0.124278 | − | 0.423252i | ||||
\(100\) | 198959. | + | 127863.i | 0.198959 | + | 0.127863i | ||||
\(101\) | 372064. | − | 814707.i | 0.361122 | − | 0.790747i | −0.638652 | − | 0.769495i | \(-0.720508\pi\) |
0.999774 | − | 0.0212512i | \(-0.00676497\pi\) | |||||||
\(102\) | 88865.4 | − | 302648.i | 0.0837398 | − | 0.285192i | ||||
\(103\) | −307574. | + | 266514.i | −0.281473 | + | 0.243898i | −0.784142 | − | 0.620581i | \(-0.786897\pi\) |
0.502669 | + | 0.864479i | \(0.332351\pi\) | |||||||
\(104\) | −575271. | − | 663899.i | −0.511414 | − | 0.590203i | ||||
\(105\) | −160109. | − | 47012.1i | −0.138308 | − | 0.0406109i | ||||
\(106\) | 2.18810e6 | + | 999271.i | 1.83717 | + | 0.839007i | ||||
\(107\) | 506641. | − | 788349.i | 0.413570 | − | 0.643528i | −0.570502 | − | 0.821296i | \(-0.693251\pi\) |
0.984072 | + | 0.177768i | \(0.0568878\pi\) | |||||||
\(108\) | −108745. | + | 31930.3i | −0.0863250 | + | 0.0253473i | ||||
\(109\) | −583658. | − | 83917.4i | −0.450691 | − | 0.0647996i | −0.0867680 | − | 0.996229i | \(-0.527654\pi\) |
−0.363923 | + | 0.931429i | \(0.618563\pi\) | |||||||
\(110\) | −623070. | − | 1.36433e6i | −0.468122 | − | 1.02504i | ||||
\(111\) | 145021. | − | 20850.8i | 0.106038 | − | 0.0152460i | ||||
\(112\) | −336947. | − | 524300.i | −0.239832 | − | 0.373186i | ||||
\(113\) | −2.06372e6 | − | 1.78822e6i | −1.43026 | − | 1.23933i | −0.926931 | − | 0.375232i | \(-0.877563\pi\) |
−0.503328 | − | 0.864095i | \(-0.667891\pi\) | |||||||
\(114\) | 336242.i | 0.226954i | ||||||||
\(115\) | −74740.2 | − | 1.06645e6i | −0.0491429 | − | 0.701206i | ||||
\(116\) | 1.19490e6 | 0.765522 | ||||||||
\(117\) | −423250. | + | 488457.i | −0.264265 | + | 0.304978i | ||||
\(118\) | 2.09994e6 | − | 1.34955e6i | 1.27809 | − | 0.821377i | ||||
\(119\) | −36200.5 | − | 251780.i | −0.0214820 | − | 0.149410i | ||||
\(120\) | 411501. | − | 187926.i | 0.238137 | − | 0.108753i | ||||
\(121\) | 189415. | − | 1.31741e6i | 0.106920 | − | 0.743642i | ||||
\(122\) | −41097.6 | − | 139965.i | −0.0226327 | − | 0.0770799i | ||||
\(123\) | −225808. | − | 145118.i | −0.121346 | − | 0.0779841i | ||||
\(124\) | −306520. | + | 671185.i | −0.160766 | + | 0.352028i | ||||
\(125\) | −582467. | + | 1.98370e6i | −0.298223 | + | 1.01565i | ||||
\(126\) | −216827. | + | 187881.i | −0.108393 | + | 0.0939231i | ||||
\(127\) | −1.45659e6 | − | 1.68100e6i | −0.711093 | − | 0.820645i | 0.279113 | − | 0.960258i | \(-0.409960\pi\) |
−0.990206 | + | 0.139613i | \(0.955414\pi\) | |||||||
\(128\) | 2.22798e6 | + | 654195.i | 1.06239 | + | 0.311944i | ||||
\(129\) | 863907. | + | 394533.i | 0.402437 | + | 0.183787i | ||||
\(130\) | −1.22447e6 | + | 1.90531e6i | −0.557338 | + | 0.867234i | ||||
\(131\) | −1.53309e6 | + | 450155.i | −0.681950 | + | 0.200239i | −0.604318 | − | 0.796743i | \(-0.706554\pi\) |
−0.0776323 | + | 0.996982i | \(0.524736\pi\) | |||||||
\(132\) | −813156. | − | 116914.i | −0.353551 | − | 0.0508329i | ||||
\(133\) | 112643. | + | 246653.i | 0.0478793 | + | 0.104841i | ||||
\(134\) | 3.05888e6 | − | 439801.i | 1.27130 | − | 0.182786i | ||||
\(135\) | −179944. | − | 279999.i | −0.0731369 | − | 0.113803i | ||||
\(136\) | 521164. | + | 451591.i | 0.207185 | + | 0.179526i | ||||
\(137\) | 4.63498e6i | 1.80255i | 0.433251 | + | 0.901273i | \(0.357366\pi\) | ||||
−0.433251 | + | 0.901273i | \(0.642634\pi\) | |||||||
\(138\) | −1.61198e6 | − | 883206.i | −0.613371 | − | 0.336066i | ||||
\(139\) | −103335. | −0.0384773 | −0.0192386 | − | 0.999815i | \(-0.506124\pi\) | ||||
−0.0192386 | + | 0.999815i | \(0.506124\pi\) | |||||||
\(140\) | −209737. | + | 242050.i | −0.0764349 | + | 0.0882105i | ||||
\(141\) | −354809. | + | 228022.i | −0.126572 | + | 0.0813428i | ||||
\(142\) | 81104.3 | + | 564093.i | 0.0283256 | + | 0.197009i | ||||
\(143\) | −4.26152e6 | + | 1.94617e6i | −1.45732 | + | 0.665538i | ||||
\(144\) | 176913. | − | 1.23046e6i | 0.0592477 | − | 0.412077i | ||||
\(145\) | 988624. | + | 3.36695e6i | 0.324285 | + | 1.10441i | ||||
\(146\) | 4.05166e6 | + | 2.60385e6i | 1.30189 | + | 0.836675i | ||||
\(147\) | 665743. | − | 1.45777e6i | 0.209582 | − | 0.458921i | ||||
\(148\) | 79225.3 | − | 269817.i | 0.0244387 | − | 0.0832307i | ||||
\(149\) | −2.16399e6 | + | 1.87511e6i | −0.654179 | + | 0.566849i | −0.917439 | − | 0.397876i | \(-0.869748\pi\) |
0.263261 | + | 0.964725i | \(0.415202\pi\) | |||||||
\(150\) | 782008. | + | 902485.i | 0.231706 | + | 0.267403i | ||||
\(151\) | −1.04975e6 | − | 308234.i | −0.304898 | − | 0.0895260i | 0.125705 | − | 0.992068i | \(-0.459881\pi\) |
−0.430603 | + | 0.902542i | \(0.641699\pi\) | |||||||
\(152\) | −668679. | − | 305376.i | −0.190409 | − | 0.0869568i | ||||
\(153\) | 274302. | − | 426823.i | 0.0765870 | − | 0.119172i | ||||
\(154\) | −1.99539e6 | + | 585899.i | −0.546343 | + | 0.160421i | ||||
\(155\) | −2.14485e6 | − | 308382.i | −0.575971 | − | 0.0828122i | ||||
\(156\) | 515328. | + | 1.12841e6i | 0.135741 | + | 0.297231i | ||||
\(157\) | −2.99973e6 | + | 431296.i | −0.775146 | + | 0.111449i | −0.518524 | − | 0.855063i | \(-0.673518\pi\) |
−0.256621 | + | 0.966512i | \(0.582609\pi\) | |||||||
\(158\) | 4.54671e6 | + | 7.07482e6i | 1.15273 | + | 1.79368i | ||||
\(159\) | 2.92418e6 | + | 2.53381e6i | 0.727465 | + | 0.630352i | ||||
\(160\) | − | 2.49883e6i | − | 0.610066i | ||||||
\(161\) | −1.47836e6 | − | 107861.i | −0.354245 | − | 0.0258456i | ||||
\(162\) | −572257. | −0.134600 | ||||||||
\(163\) | 3.14968e6 | − | 3.63492e6i | 0.727283 | − | 0.839329i | −0.264880 | − | 0.964281i | \(-0.585332\pi\) |
0.992163 | + | 0.124952i | \(0.0398777\pi\) | |||||||
\(164\) | −433404. | + | 278532.i | −0.0982566 | + | 0.0631457i | ||||
\(165\) | −343344. | − | 2.38801e6i | −0.0764325 | − | 0.531600i | ||||
\(166\) | −6.40088e6 | + | 2.92318e6i | −1.39931 | + | 0.639045i | ||||
\(167\) | −103111. | + | 717153.i | −0.0221389 | + | 0.153979i | −0.997892 | − | 0.0648940i | \(-0.979329\pi\) |
0.975753 | + | 0.218873i | \(0.0702381\pi\) | |||||||
\(168\) | −176715. | − | 601835.i | −0.0372687 | − | 0.126926i | ||||
\(169\) | 1.89071e6 | + | 1.21509e6i | 0.391710 | + | 0.251737i | ||||
\(170\) | 738574. | − | 1.61725e6i | 0.150331 | − | 0.329178i | ||||
\(171\) | −152375. | + | 518941.i | −0.0304737 | + | 0.103784i | ||||
\(172\) | 1.37763e6 | − | 1.19372e6i | 0.270737 | − | 0.234595i | ||||
\(173\) | 1.89219e6 | + | 2.18370e6i | 0.365448 | + | 0.421750i | 0.908458 | − | 0.417977i | \(-0.137261\pi\) |
−0.543009 | + | 0.839727i | \(0.682715\pi\) | |||||||
\(174\) | 5.78893e6 | + | 1.69978e6i | 1.09888 | + | 0.322660i | ||||
\(175\) | 875985. | + | 400049.i | 0.163449 | + | 0.0746447i | ||||
\(176\) | 4.87157e6 | − | 7.58030e6i | 0.893574 | − | 1.39043i | ||||
\(177\) | 3.85253e6 | − | 1.13121e6i | 0.694747 | − | 0.203996i | ||||
\(178\) | −5.35418e6 | − | 769815.i | −0.949364 | − | 0.136498i | ||||
\(179\) | 217144. | + | 475479.i | 0.0378607 | + | 0.0829035i | 0.927617 | − | 0.373532i | \(-0.121853\pi\) |
−0.889757 | + | 0.456435i | \(0.849126\pi\) | |||||||
\(180\) | −632324. | + | 90914.4i | −0.108423 | + | 0.0155889i | ||||
\(181\) | −2.24627e6 | − | 3.49526e6i | −0.378813 | − | 0.589445i | 0.598531 | − | 0.801100i | \(-0.295751\pi\) |
−0.977345 | + | 0.211654i | \(0.932115\pi\) | |||||||
\(182\) | 2.37328e6 | + | 2.05646e6i | 0.393672 | + | 0.341118i | ||||
\(183\) | − | 234641.i | − | 0.0382869i | ||||||
\(184\) | 3.22043e6 | − | 2.40360e6i | 0.516964 | − | 0.385841i | ||||
\(185\) | 825828. | 0.130429 | ||||||||
\(186\) | −2.43978e6 | + | 2.81565e6i | −0.379150 | + | 0.437563i | ||||
\(187\) | 3.09384e6 | − | 1.98829e6i | 0.473122 | − | 0.304057i | ||||
\(188\) | 115205. | + | 801268.i | 0.0173380 | + | 0.120588i | ||||
\(189\) | −419784. | + | 191709.i | −0.0621785 | + | 0.0283960i | ||||
\(190\) | −269723. | + | 1.87597e6i | −0.0393240 | + | 0.273504i | ||||
\(191\) | 84455.1 | + | 287628.i | 0.0121206 | + | 0.0412791i | 0.965331 | − | 0.261028i | \(-0.0840614\pi\) |
−0.953211 | + | 0.302307i | \(0.902243\pi\) | |||||||
\(192\) | 679203. | + | 436497.i | 0.0959613 | + | 0.0616706i | ||||
\(193\) | 4.71202e6 | − | 1.03179e7i | 0.655444 | − | 1.43522i | −0.231264 | − | 0.972891i | \(-0.574286\pi\) |
0.886708 | − | 0.462330i | \(-0.152987\pi\) | |||||||
\(194\) | 704724. | − | 2.40007e6i | 0.0965193 | − | 0.328714i | ||||
\(195\) | −2.75323e6 | + | 2.38569e6i | −0.371312 | + | 0.321743i | ||||
\(196\) | −2.01431e6 | − | 2.32464e6i | −0.267522 | − | 0.308737i | ||||
\(197\) | −5.43399e6 | − | 1.59556e6i | −0.710755 | − | 0.208697i | −0.0936819 | − | 0.995602i | \(-0.529864\pi\) |
−0.617073 | + | 0.786906i | \(0.711682\pi\) | |||||||
\(198\) | −3.77318e6 | − | 1.72315e6i | −0.486084 | − | 0.221987i | ||||
\(199\) | 2.41966e6 | − | 3.76506e6i | 0.307040 | − | 0.477763i | −0.653105 | − | 0.757268i | \(-0.726534\pi\) |
0.960144 | + | 0.279504i | \(0.0901701\pi\) | |||||||
\(200\) | −2.50498e6 | + | 735529.i | −0.313123 | + | 0.0919411i | ||||
\(201\) | 4.92026e6 | + | 707426.i | 0.605898 | + | 0.0871150i | ||||
\(202\) | −3.60575e6 | − | 7.89550e6i | −0.437464 | − | 0.957912i | ||||
\(203\) | 4.81595e6 | − | 692429.i | 0.575697 | − | 0.0827727i | ||||
\(204\) | −526481. | − | 819221.i | −0.0620144 | − | 0.0964963i | ||||
\(205\) | −1.14342e6 | − | 990781.i | −0.132723 | − | 0.115005i | ||||
\(206\) | 3.94411e6i | 0.451178i | ||||||||
\(207\) | −2.08762e6 | − | 2.09361e6i | −0.235365 | − | 0.236039i | ||||
\(208\) | −1.36064e7 | −1.51201 | ||||||||
\(209\) | −2.56730e6 | + | 2.96282e6i | −0.281214 | + | 0.324538i | ||||
\(210\) | −1.36044e6 | + | 874299.i | −0.146899 | + | 0.0944066i | ||||
\(211\) | 951540. | + | 6.61811e6i | 0.101293 | + | 0.704509i | 0.975667 | + | 0.219257i | \(0.0703632\pi\) |
−0.874374 | + | 0.485252i | \(0.838728\pi\) | |||||||
\(212\) | 6.75531e6 | − | 3.08505e6i | 0.708986 | − | 0.323783i | ||||
\(213\) | −130457. | + | 907352.i | −0.0134999 | + | 0.0938938i | ||||
\(214\) | −2.55863e6 | − | 8.71389e6i | −0.261075 | − | 0.889141i | ||||
\(215\) | 4.50344e6 | + | 2.89419e6i | 0.453137 | + | 0.291213i | ||||
\(216\) | 519725. | − | 1.13804e6i | 0.0515718 | − | 0.112927i | ||||
\(217\) | −846461. | + | 2.88278e6i | −0.0828377 | + | 0.282119i | ||||
\(218\) | −4.31875e6 | + | 3.74222e6i | −0.416858 | + | 0.361210i | ||||
\(219\) | 5.07318e6 | + | 5.85476e6i | 0.483001 | + | 0.557413i | ||||
\(220\) | −4.44299e6 | − | 1.30458e6i | −0.417260 | − | 0.122519i | ||||
\(221\) | −5.05152e6 | − | 2.30695e6i | −0.467999 | − | 0.213728i | ||||
\(222\) | 767645. | − | 1.19448e6i | 0.0701619 | − | 0.109174i | ||||
\(223\) | 1.58647e7 | − | 4.65831e6i | 1.43060 | − | 0.420062i | 0.527523 | − | 0.849541i | \(-0.323121\pi\) |
0.903077 | + | 0.429479i | \(0.141303\pi\) | |||||||
\(224\) | −3.42945e6 | − | 493080.i | −0.305127 | − | 0.0438706i | ||||
\(225\) | 797938. | + | 1.74724e6i | 0.0700522 | + | 0.153393i | ||||
\(226\) | −2.61943e7 | + | 3.76618e6i | −2.26925 | + | 0.326269i | ||||
\(227\) | −173617. | − | 270154.i | −0.0148428 | − | 0.0230958i | 0.833753 | − | 0.552138i | \(-0.186188\pi\) |
−0.848596 | + | 0.529042i | \(0.822551\pi\) | |||||||
\(228\) | 784527. | + | 679797.i | 0.0661917 | + | 0.0573554i | ||||
\(229\) | 1.47003e7i | 1.22411i | 0.790817 | + | 0.612053i | \(0.209656\pi\) | ||||
−0.790817 | + | 0.612053i | \(0.790344\pi\) | |||||||
\(230\) | −8.28513e6 | − | 6.22069e6i | −0.680951 | − | 0.511275i | ||||
\(231\) | −3.34511e6 | −0.271378 | ||||||||
\(232\) | −8.63785e6 | + | 9.96861e6i | −0.691738 | + | 0.798309i | ||||
\(233\) | 1.14793e7 | − | 7.37733e6i | 0.907506 | − | 0.583219i | −0.00150145 | − | 0.999999i | \(-0.500478\pi\) |
0.909007 | + | 0.416780i | \(0.136842\pi\) | |||||||
\(234\) | 891408. | + | 6.19988e6i | 0.0695711 | + | 0.483878i | ||||
\(235\) | −2.16247e6 | + | 987566.i | −0.166627 | + | 0.0760961i | ||||
\(236\) | 1.09675e6 | − | 7.62808e6i | 0.0834397 | − | 0.580336i | ||||
\(237\) | 3.81110e6 | + | 1.29794e7i | 0.286289 | + | 0.975012i | ||||
\(238\) | −2.07381e6 | − | 1.33276e6i | −0.153829 | − | 0.0988600i | ||||
\(239\) | 944182. | − | 2.06747e6i | 0.0691611 | − | 0.151442i | −0.871894 | − | 0.489694i | \(-0.837108\pi\) |
0.941055 | + | 0.338252i | \(0.109836\pi\) | |||||||
\(240\) | 1.97407e6 | − | 6.72306e6i | 0.142800 | − | 0.486333i | ||||
\(241\) | 1.01306e7 | − | 8.77824e6i | 0.723745 | − | 0.627129i | −0.213036 | − | 0.977044i | \(-0.568335\pi\) |
0.936781 | + | 0.349916i | \(0.113790\pi\) | |||||||
\(242\) | −8.44676e6 | − | 9.74809e6i | −0.595997 | − | 0.687817i | ||||
\(243\) | −883197. | − | 259330.i | −0.0615515 | − | 0.0180732i | ||||
\(244\) | −409660. | − | 187085.i | −0.0282003 | − | 0.0128786i | ||||
\(245\) | 4.88371e6 | − | 7.59920e6i | 0.332087 | − | 0.516737i | ||||
\(246\) | −2.49593e6 | + | 732872.i | −0.167659 | + | 0.0492292i | ||||
\(247\) | 5.85961e6 | + | 842485.i | 0.388846 | + | 0.0559077i | ||||
\(248\) | −3.38364e6 | − | 7.40913e6i | −0.221834 | − | 0.485750i | ||||
\(249\) | −1.12035e7 | + | 1.61083e6i | −0.725701 | + | 0.104340i | ||||
\(250\) | 1.08323e7 | + | 1.68554e7i | 0.693268 | + | 1.07875i | ||||
\(251\) | 1.45158e7 | + | 1.25780e7i | 0.917951 | + | 0.795409i | 0.979239 | − | 0.202711i | \(-0.0649752\pi\) |
−0.0612875 | + | 0.998120i | \(0.519521\pi\) | |||||||
\(252\) | 885755.i | 0.0553493i | ||||||||
\(253\) | −7.46059e6 | − | 2.00904e7i | −0.460693 | − | 1.24058i | ||||
\(254\) | −2.15559e7 | −1.31542 | ||||||||
\(255\) | 1.87278e6 | − | 2.16130e6i | 0.112945 | − | 0.130345i | ||||
\(256\) | 1.61425e7 | − | 1.03742e7i | 0.962170 | − | 0.618349i | ||||
\(257\) | −3.69408e6 | − | 2.56929e7i | −0.217624 | − | 1.51361i | −0.746772 | − | 0.665080i | \(-0.768397\pi\) |
0.529148 | − | 0.848530i | \(-0.322512\pi\) | |||||||
\(258\) | 8.37231e6 | − | 3.82351e6i | 0.487513 | − | 0.222640i | ||||
\(259\) | 162956. | − | 1.13338e6i | 0.00937932 | − | 0.0652346i | ||||
\(260\) | 1.96995e6 | + | 6.70903e6i | 0.112082 | + | 0.381716i | ||||
\(261\) | 8.16409e6 | + | 5.24674e6i | 0.459184 | + | 0.295099i | ||||
\(262\) | −6.43258e6 | + | 1.40854e7i | −0.357669 | + | 0.783186i | ||||
\(263\) | 676282. | − | 2.30320e6i | 0.0371758 | − | 0.126609i | −0.938814 | − | 0.344423i | \(-0.888074\pi\) |
0.975990 | + | 0.217814i | \(0.0698926\pi\) | |||||||
\(264\) | 6.85362e6 | − | 5.93870e6i | 0.372485 | − | 0.322760i | ||||
\(265\) | 1.42821e7 | + | 1.64824e7i | 0.767456 | + | 0.885691i | ||||
\(266\) | 2.52139e6 | + | 740348.i | 0.133966 | + | 0.0393361i | ||||
\(267\) | −7.91456e6 | − | 3.61446e6i | −0.415808 | − | 0.189893i | ||||
\(268\) | 5.15814e6 | − | 8.02623e6i | 0.267972 | − | 0.416972i | ||||
\(269\) | 2.88708e7 | − | 8.47723e6i | 1.48321 | − | 0.435509i | 0.562840 | − | 0.826566i | \(-0.309709\pi\) |
0.920367 | + | 0.391057i | \(0.127890\pi\) | |||||||
\(270\) | −3.19274e6 | − | 459047.i | −0.162208 | − | 0.0233220i | ||||
\(271\) | −1.17377e7 | − | 2.57020e7i | −0.589760 | − | 1.29139i | −0.935587 | − | 0.353096i | \(-0.885129\pi\) |
0.345827 | − | 0.938298i | \(-0.387599\pi\) | |||||||
\(272\) | 1.05724e7 | − | 1.52008e6i | 0.525372 | − | 0.0755371i | ||||
\(273\) | 2.73089e6 | + | 4.24935e6i | 0.134220 | + | 0.208850i | ||||
\(274\) | 3.39472e7 | + | 2.94154e7i | 1.65026 | + | 1.42996i | ||||
\(275\) | 1.39232e7i | 0.669483i | ||||||||
\(276\) | −5.31975e6 | + | 1.97550e6i | −0.253025 | + | 0.0939613i | ||||
\(277\) | −6.72173e6 | −0.316258 | −0.158129 | − | 0.987418i | \(-0.550546\pi\) | ||||
−0.158129 | + | 0.987418i | \(0.550546\pi\) | |||||||
\(278\) | −655807. | + | 756841.i | −0.0305240 | + | 0.0352266i | ||||
\(279\) | −5.04142e6 | + | 3.23992e6i | −0.232135 | + | 0.149184i | ||||
\(280\) | −503155. | − | 3.49952e6i | −0.0229207 | − | 0.159417i | ||||
\(281\) | −2.41113e7 | + | 1.10113e7i | −1.08668 | + | 0.496270i | −0.876505 | − | 0.481393i | \(-0.840131\pi\) |
−0.210176 | + | 0.977664i | \(0.567404\pi\) | |||||||
\(282\) | −581696. | + | 4.04578e6i | −0.0259387 | + | 0.180408i | ||||
\(283\) | 2.42094e6 | + | 8.24497e6i | 0.106813 | + | 0.363773i | 0.995502 | − | 0.0947380i | \(-0.0302013\pi\) |
−0.888689 | + | 0.458510i | \(0.848383\pi\) | |||||||
\(284\) | 1.48013e6 | + | 951221.i | 0.0646166 | + | 0.0415266i | ||||
\(285\) | −1.26641e6 | + | 2.77306e6i | −0.0547067 | + | 0.119791i | ||||
\(286\) | −1.27913e7 | + | 4.35631e7i | −0.546784 | + | 1.86218i | ||||
\(287\) | −1.58540e6 | + | 1.37375e6i | −0.0670644 | + | 0.0581116i | ||||
\(288\) | −4.52556e6 | − | 5.22277e6i | −0.189450 | − | 0.218637i | ||||
\(289\) | −1.89770e7 | − | 5.57215e6i | −0.786202 | − | 0.230850i | ||||
\(290\) | 3.09342e7 | + | 1.41272e7i | 1.26836 | + | 0.579243i | ||||
\(291\) | 2.17528e6 | − | 3.38481e6i | 0.0882748 | − | 0.137358i | ||||
\(292\) | 1.42668e7 | − | 4.18911e6i | 0.573031 | − | 0.168257i | ||||
\(293\) | −2.67614e7 | − | 3.84770e6i | −1.06391 | − | 0.152967i | −0.411940 | − | 0.911211i | \(-0.635149\pi\) |
−0.651971 | + | 0.758244i | \(0.726058\pi\) | |||||||
\(294\) | −6.45186e6 | − | 1.41276e7i | −0.253889 | − | 0.555938i | ||||
\(295\) | 2.24015e7 | − | 3.22086e6i | 0.872593 | − | 0.125460i | ||||
\(296\) | 1.67827e6 | + | 2.61144e6i | 0.0647122 | + | 0.100694i | ||||
\(297\) | −5.04248e6 | − | 4.36933e6i | −0.192475 | − | 0.166781i | ||||
\(298\) | 2.77495e7i | 1.04859i | ||||||||
\(299\) | −1.94304e7 | + | 2.58787e7i | −0.726890 | + | 0.968121i | ||||
\(300\) | 3.68672e6 | 0.136545 | ||||||||
\(301\) | 4.86068e6 | − | 5.60953e6i | 0.178237 | − | 0.205696i | ||||
\(302\) | −8.91966e6 | + | 5.73232e6i | −0.323838 | + | 0.208118i | ||||
\(303\) | −1.98696e6 | − | 1.38196e7i | −0.0714268 | − | 0.496784i | ||||
\(304\) | −1.03571e7 | + | 4.72993e6i | −0.368653 | + | 0.168358i | ||||
\(305\) | 188222. | − | 1.30911e6i | 0.00663393 | − | 0.0461400i | ||||
\(306\) | −1.38527e6 | − | 4.71781e6i | −0.0483472 | − | 0.164656i | ||||
\(307\) | −9.91119e6 | − | 6.36953e6i | −0.342539 | − | 0.220137i | 0.358048 | − | 0.933703i | \(-0.383442\pi\) |
−0.700588 | + | 0.713566i | \(0.747079\pi\) | |||||||
\(308\) | −2.66714e6 | + | 5.84023e6i | −0.0912839 | + | 0.199884i | ||||
\(309\) | −1.78736e6 | + | 6.08718e6i | −0.0605809 | + | 0.206320i | ||||
\(310\) | −1.58707e7 | + | 1.37520e7i | −0.532734 | + | 0.461616i | ||||
\(311\) | 2.45610e7 | + | 2.83449e7i | 0.816515 | + | 0.942309i | 0.999165 | − | 0.0408692i | \(-0.0130127\pi\) |
−0.182649 | + | 0.983178i | \(0.558467\pi\) | |||||||
\(312\) | −1.31392e7 | − | 3.85802e6i | −0.432618 | − | 0.127028i | ||||
\(313\) | −1.31356e7 | − | 5.99881e6i | −0.428367 | − | 0.195629i | 0.189552 | − | 0.981871i | \(-0.439297\pi\) |
−0.617918 | + | 0.786242i | \(0.712024\pi\) | |||||||
\(314\) | −1.58786e7 | + | 2.47076e7i | −0.512889 | + | 0.798071i | ||||
\(315\) | −2.49585e6 | + | 732847.i | −0.0798521 | + | 0.0234467i | ||||
\(316\) | 2.56994e7 | + | 3.69502e6i | 0.814446 | + | 0.117100i | ||||
\(317\) | −1.32376e7 | − | 2.89864e7i | −0.415559 | − | 0.909947i | −0.995453 | − | 0.0952552i | \(-0.969633\pi\) |
0.579894 | − | 0.814692i | \(-0.303094\pi\) | |||||||
\(318\) | 3.71160e7 | − | 5.33647e6i | 1.15420 | − | 0.165948i | ||||
\(319\) | 3.80312e7 | + | 5.91778e7i | 1.17157 | + | 1.82300i | ||||
\(320\) | 3.43928e6 | + | 2.98015e6i | 0.104958 | + | 0.0909469i | ||||
\(321\) | − | 1.46081e7i | − | 0.441652i | ||||||
\(322\) | −1.01723e7 | + | 1.01432e7i | −0.304684 | + | 0.303814i | ||||
\(323\) | −4.64713e6 | −0.137904 | ||||||||
\(324\) | −1.15696e6 | + | 1.33520e6i | −0.0340160 | + | 0.0392566i | ||||
\(325\) | 1.76868e7 | − | 1.13666e7i | 0.515228 | − | 0.331117i | ||||
\(326\) | −6.63355e6 | − | 4.61373e7i | −0.191467 | − | 1.33168i | ||||
\(327\) | −8.36124e6 | + | 3.81845e6i | −0.239126 | + | 0.109205i | ||||
\(328\) | 809360. | − | 5.62922e6i | 0.0229361 | − | 0.159524i | ||||
\(329\) | 928649. | + | 3.16269e6i | 0.0260774 | + | 0.0888114i | ||||
\(330\) | −1.96691e7 | − | 1.26406e7i | −0.547322 | − | 0.351743i | ||||
\(331\) | 1.62597e7 | − | 3.56038e7i | 0.448362 | − | 0.981776i | −0.541625 | − | 0.840620i | \(-0.682191\pi\) |
0.989987 | − | 0.141156i | \(-0.0450819\pi\) | |||||||
\(332\) | −6.12053e6 | + | 2.08446e7i | −0.167253 | + | 0.569613i | ||||
\(333\) | 1.72605e6 | − | 1.49563e6i | 0.0467436 | − | 0.0405035i | ||||
\(334\) | 4.59814e6 | + | 5.30653e6i | 0.123408 | + | 0.142420i | ||||
\(335\) | 2.68837e7 | + | 7.89377e6i | 0.715080 | + | 0.209966i | ||||
\(336\) | −8.83735e6 | − | 4.03588e6i | −0.232972 | − | 0.106395i | ||||
\(337\) | 3.20187e7 | − | 4.98220e7i | 0.836592 | − | 1.30176i | −0.114678 | − | 0.993403i | \(-0.536584\pi\) |
0.951270 | − | 0.308360i | \(-0.0997801\pi\) | |||||||
\(338\) | 2.08987e7 | − | 6.13640e6i | 0.541213 | − | 0.158914i | ||||
\(339\) | −4.21340e7 | − | 6.05795e6i | −1.08152 | − | 0.155499i | ||||
\(340\) | −2.28020e6 | − | 4.99294e6i | −0.0580144 | − | 0.127034i | ||||
\(341\) | −4.29965e7 | + | 6.18197e6i | −1.08435 | + | 0.155906i | ||||
\(342\) | 2.83376e6 | + | 4.40942e6i | 0.0708411 | + | 0.110231i | ||||
\(343\) | −2.02978e7 | − | 1.75882e7i | −0.502999 | − | 0.435851i | ||||
\(344\) | 2.01224e7i | 0.494316i | ||||||||
\(345\) | −9.96788e6 | − | 1.33553e7i | −0.242742 | − | 0.325235i | ||||
\(346\) | 2.80023e7 | 0.676029 | ||||||||
\(347\) | −5.23332e7 | + | 6.03958e7i | −1.25253 | + | 1.44550i | −0.405383 | + | 0.914147i | \(0.632862\pi\) |
−0.847150 | + | 0.531353i | \(0.821684\pi\) | |||||||
\(348\) | 1.56697e7 | − | 1.00703e7i | 0.371812 | − | 0.238949i | ||||
\(349\) | −3.32773e6 | − | 2.31449e7i | −0.0782837 | − | 0.544475i | −0.990789 | − | 0.135411i | \(-0.956764\pi\) |
0.912506 | − | 0.409064i | \(-0.134145\pi\) | |||||||
\(350\) | 8.48936e6 | − | 3.87696e6i | 0.198003 | − | 0.0904248i | ||||
\(351\) | −1.43384e6 | + | 9.97259e6i | −0.0331574 | + | 0.230615i | ||||
\(352\) | −1.41127e7 | − | 4.80635e7i | −0.323581 | − | 1.10202i | ||||
\(353\) | −5.47643e7 | − | 3.51949e7i | −1.24501 | − | 0.800121i | −0.258852 | − | 0.965917i | \(-0.583344\pi\) |
−0.986160 | + | 0.165796i | \(0.946981\pi\) | |||||||
\(354\) | 1.61646e7 | − | 3.53956e7i | 0.364381 | − | 0.797883i | ||||
\(355\) | −1.45570e6 | + | 4.95766e6i | −0.0325377 | + | 0.110813i | ||||
\(356\) | −1.26210e7 | + | 1.09361e7i | −0.279732 | + | 0.242389i | ||||
\(357\) | −2.59667e6 | − | 2.99672e6i | −0.0570705 | − | 0.0658629i | ||||
\(358\) | 4.86056e6 | + | 1.42719e6i | 0.105934 | + | 0.0311051i | ||||
\(359\) | 4.43930e7 | + | 2.02736e7i | 0.959469 | + | 0.438175i | 0.832680 | − | 0.553755i | \(-0.186805\pi\) |
0.126790 | + | 0.991930i | \(0.459533\pi\) | |||||||
\(360\) | 3.81256e6 | − | 5.93246e6i | 0.0817164 | − | 0.127153i | ||||
\(361\) | −4.03870e7 | + | 1.18587e7i | −0.858461 | + | 0.252067i | ||||
\(362\) | −3.98554e7 | − | 5.73035e6i | −0.840160 | − | 0.120797i | ||||
\(363\) | −8.61883e6 | − | 1.88726e7i | −0.180189 | − | 0.394559i | ||||
\(364\) | 9.59634e6 | − | 1.37975e6i | 0.198976 | − | 0.0286085i | ||||
\(365\) | 2.36079e7 | + | 3.67345e7i | 0.485487 | + | 0.755433i | ||||
\(366\) | −1.71854e6 | − | 1.48912e6i | −0.0350523 | − | 0.0303730i | ||||
\(367\) | 6.16261e7i | 1.24671i | 0.781937 | + | 0.623357i | \(0.214232\pi\) | ||||
−0.781937 | + | 0.623357i | \(0.785768\pi\) | |||||||
\(368\) | 4.52915e6 | − | 6.20774e7i | 0.0908810 | − | 1.24563i | ||||
\(369\) | −4.18423e6 | −0.0832792 | ||||||||
\(370\) | 5.24103e6 | − | 6.04848e6i | 0.103469 | − | 0.119410i | ||||
\(371\) | 2.54390e7 | − | 1.63486e7i | 0.498171 | − | 0.320155i | ||||
\(372\) | 1.63693e6 | + | 1.13851e7i | 0.0317981 | + | 0.221161i | ||||
\(373\) | 5.41095e7 | − | 2.47110e7i | 1.04267 | − | 0.476171i | 0.180916 | − | 0.983498i | \(-0.442094\pi\) |
0.861754 | + | 0.507327i | \(0.169366\pi\) | |||||||
\(374\) | 5.07224e6 | − | 3.52782e7i | 0.0969583 | − | 0.674359i | ||||
\(375\) | 9.07976e6 | + | 3.09228e7i | 0.172179 | + | 0.586388i | ||||
\(376\) | −7.51750e6 | − | 4.83120e6i | −0.141420 | − | 0.0908849i | ||||
\(377\) | 4.41264e7 | − | 9.66234e7i | 0.823521 | − | 1.80326i | ||||
\(378\) | −1.26001e6 | + | 4.29121e6i | −0.0233292 | + | 0.0794519i | ||||
\(379\) | −2.18345e7 | + | 1.89197e7i | −0.401076 | + | 0.347534i | −0.831923 | − | 0.554891i | \(-0.812760\pi\) |
0.430847 | + | 0.902425i | \(0.358215\pi\) | |||||||
\(380\) | 3.83173e6 | + | 4.42206e6i | 0.0698304 | + | 0.0805886i | ||||
\(381\) | −3.32685e7 | − | 9.76852e6i | −0.601532 | − | 0.176626i | ||||
\(382\) | 2.64261e6 | + | 1.20684e6i | 0.0474070 | + | 0.0216501i | ||||
\(383\) | 4.08128e7 | − | 6.35060e7i | 0.726441 | − | 1.13036i | −0.259898 | − | 0.965636i | \(-0.583689\pi\) |
0.986339 | − | 0.164729i | \(-0.0526748\pi\) | |||||||
\(384\) | 3.47308e7 | − | 1.01979e7i | 0.613368 | − | 0.180101i | ||||
\(385\) | −1.86631e7 | − | 2.68335e6i | −0.327040 | − | 0.0470213i | ||||
\(386\) | −4.56652e7 | − | 9.99929e7i | −0.794006 | − | 1.73863i | ||||
\(387\) | 1.46542e7 | − | 2.10695e6i | 0.252830 | − | 0.0363514i | ||||
\(388\) | −4.17513e6 | − | 6.49662e6i | −0.0714783 | − | 0.111222i | ||||
\(389\) | 1.59812e7 | + | 1.38478e7i | 0.271494 | + | 0.235251i | 0.779957 | − | 0.625833i | \(-0.215241\pi\) |
−0.508463 | + | 0.861084i | \(0.669786\pi\) | |||||||
\(390\) | 3.53055e7i | 0.595181i | ||||||||
\(391\) | 1.22066e7 | − | 2.22789e7i | 0.204204 | − | 0.372703i | ||||
\(392\) | 3.39550e7 | 0.563697 | ||||||||
\(393\) | −1.63109e7 | + | 1.88237e7i | −0.268719 | + | 0.310119i | ||||
\(394\) | −4.61724e7 | + | 2.96732e7i | −0.754907 | + | 0.485149i | ||||
\(395\) | 1.08512e7 | + | 7.54721e7i | 0.176071 | + | 1.22460i | ||||
\(396\) | −1.16489e7 | + | 5.31988e6i | −0.187586 | + | 0.0856676i | ||||
\(397\) | 1.29963e7 | − | 9.03910e7i | 0.207705 | − | 1.44462i | −0.572915 | − | 0.819614i | \(-0.694188\pi\) |
0.780620 | − | 0.625005i | \(-0.214903\pi\) | |||||||
\(398\) | −1.22197e7 | − | 4.16165e7i | −0.193826 | − | 0.660110i | ||||
\(399\) | 3.55591e6 | + | 2.28524e6i | 0.0559799 | + | 0.0359761i | ||||
\(400\) | −1.67983e7 | + | 3.67832e7i | −0.262474 | + | 0.574737i | ||||
\(401\) | 713969. | − | 2.43155e6i | 0.0110725 | − | 0.0377095i | −0.953771 | − | 0.300533i | \(-0.902835\pi\) |
0.964844 | + | 0.262823i | \(0.0846537\pi\) | |||||||
\(402\) | 3.64072e7 | − | 3.15470e7i | 0.560414 | − | 0.485601i | ||||
\(403\) | 4.29547e7 | + | 4.95723e7i | 0.656289 | + | 0.757398i | ||||
\(404\) | −2.57119e7 | − | 7.54970e6i | −0.389933 | − | 0.114495i | ||||
\(405\) | −4.71952e6 | − | 2.15533e6i | −0.0710449 | − | 0.0324451i | ||||
\(406\) | 2.54925e7 | − | 3.96671e7i | 0.380920 | − | 0.592724i | ||||
\(407\) | 1.58843e7 | − | 4.66406e6i | 0.235606 | − | 0.0691801i | ||||
\(408\) | 1.06404e7 | + | 1.52985e6i | 0.156666 | + | 0.0225252i | ||||
\(409\) | 2.58150e7 | + | 5.65269e7i | 0.377313 | + | 0.826201i | 0.999075 | + | 0.0429944i | \(0.0136898\pi\) |
−0.621762 | + | 0.783206i | \(0.713583\pi\) | |||||||
\(410\) | −1.45132e7 | + | 2.08669e6i | −0.210578 | + | 0.0302765i | ||||
\(411\) | 3.90625e7 | + | 6.07824e7i | 0.562645 | + | 0.875493i | ||||
\(412\) | 9.20250e6 | + | 7.97401e6i | 0.131587 | + | 0.114021i | ||||
\(413\) | − | 3.13799e7i | − | 0.445453i | ||||||
\(414\) | −2.85828e7 | + | 2.00318e6i | −0.402813 | + | 0.0282305i | ||||
\(415\) | −6.37992e7 | −0.892628 | ||||||||
\(416\) | −4.95345e7 | + | 5.71659e7i | −0.688062 | + | 0.794066i | ||||
\(417\) | −1.35512e6 | + | 870885.i | −0.0186883 | + | 0.0120103i | ||||
\(418\) | 5.40699e6 | + | 3.76064e7i | 0.0740332 | + | 0.514913i | ||||
\(419\) | −1.32467e7 | + | 6.04955e6i | −0.180080 | + | 0.0822397i | −0.503415 | − | 0.864045i | \(-0.667923\pi\) |
0.323335 | + | 0.946285i | \(0.395196\pi\) | |||||||
\(420\) | −710526. | + | 4.94182e6i | −0.00959030 | + | 0.0667020i | ||||
\(421\) | −1.13368e7 | − | 3.86098e7i | −0.151931 | − | 0.517429i | 0.847990 | − | 0.530012i | \(-0.177813\pi\) |
−0.999921 | + | 0.0125833i | \(0.995995\pi\) | |||||||
\(422\) | 5.45107e7 | + | 3.50319e7i | 0.725345 | + | 0.466151i | ||||
\(423\) | −2.73120e6 | + | 5.98048e6i | −0.0360854 | + | 0.0790160i | ||||
\(424\) | −2.30963e7 | + | 7.86587e7i | −0.303001 | + | 1.03193i | ||||
\(425\) | −1.24731e7 | + | 1.08080e7i | −0.162482 | + | 0.140792i | ||||
\(426\) | 5.81763e6 | + | 6.71390e6i | 0.0752519 | + | 0.0868453i | ||||
\(427\) | −1.75951e6 | − | 516640.i | −0.0226000 | − | 0.00663597i | ||||
\(428\) | −2.55044e7 | − | 1.16474e7i | −0.325299 | − | 0.148559i | ||||
\(429\) | −3.94831e7 | + | 6.14368e7i | −0.500079 | + | 0.778139i | ||||
\(430\) | 4.97780e7 | − | 1.46161e7i | 0.626084 | − | 0.183835i | ||||
\(431\) | −4.22386e7 | − | 6.07300e6i | −0.527568 | − | 0.0758528i | −0.126616 | − | 0.991952i | \(-0.540411\pi\) |
−0.400952 | + | 0.916099i | \(0.631321\pi\) | |||||||
\(432\) | −8.04997e6 | − | 1.76270e7i | −0.0998489 | − | 0.218638i | ||||
\(433\) | −6.45818e7 | + | 9.28546e6i | −0.795511 | + | 0.114377i | −0.528074 | − | 0.849198i | \(-0.677086\pi\) |
−0.267437 | + | 0.963575i | \(0.586177\pi\) | |||||||
\(434\) | 1.57419e7 | + | 2.44949e7i | 0.192570 | + | 0.299644i | ||||
\(435\) | 4.13405e7 | + | 3.58217e7i | 0.502236 | + | 0.435190i | ||||
\(436\) | 1.76424e7i | 0.212862i | ||||||||
\(437\) | −5.79419e6 | + | 2.64532e7i | −0.0694302 | + | 0.316981i | ||||
\(438\) | 7.50775e7 | 0.893485 | ||||||||
\(439\) | −8.53076e7 | + | 9.84502e7i | −1.00831 | + | 1.16365i | −0.0218310 | + | 0.999762i | \(0.506950\pi\) |
−0.986479 | + | 0.163890i | \(0.947596\pi\) | |||||||
\(440\) | 4.30017e7 | − | 2.76355e7i | 0.504809 | − | 0.324421i | ||||
\(441\) | −3.55531e6 | − | 2.47278e7i | −0.0414536 | − | 0.288316i | ||||
\(442\) | −4.89553e7 | + | 2.23571e7i | −0.566935 | + | 0.258910i | ||||
\(443\) | −1.79956e7 | + | 1.25162e8i | −0.206992 | + | 1.43966i | 0.575908 | + | 0.817515i | \(0.304649\pi\) |
−0.782900 | + | 0.622148i | \(0.786260\pi\) | |||||||
\(444\) | −1.23500e6 | − | 4.20603e6i | −0.0141097 | − | 0.0480533i | ||||
\(445\) | −4.12576e7 | − | 2.65147e7i | −0.468192 | − | 0.300889i | ||||
\(446\) | 6.65658e7 | − | 1.45759e8i | 0.750321 | − | 1.64297i | ||||
\(447\) | −1.25753e7 | + | 4.28274e7i | −0.140797 | + | 0.479512i | ||||
\(448\) | 4.76868e6 | − | 4.13208e6i | 0.0530352 | − | 0.0459552i | ||||
\(449\) | 6.34026e7 | + | 7.31705e7i | 0.700435 | + | 0.808345i | 0.988811 | − | 0.149172i | \(-0.0476607\pi\) |
−0.288376 | + | 0.957517i | \(0.593115\pi\) | |||||||
\(450\) | 1.78611e7 | + | 5.24448e6i | 0.196006 | + | 0.0575526i | ||||
\(451\) | −2.75888e7 | − | 1.25994e7i | −0.300748 | − | 0.137347i | ||||
\(452\) | −4.41711e7 | + | 6.87315e7i | −0.478324 | + | 0.744287i | ||||
\(453\) | −1.63639e7 | + | 4.80489e6i | −0.176033 | + | 0.0516879i | ||||
\(454\) | −3.08049e6 | − | 442907.i | −0.0329194 | − | 0.00473309i | ||||
\(455\) | 1.18275e7 | + | 2.58987e7i | 0.125562 | + | 0.274943i | ||||
\(456\) | −1.13426e7 | + | 1.63082e6i | −0.119624 | + | 0.0171993i | ||||
\(457\) | −1.42499e7 | − | 2.21733e7i | −0.149301 | − | 0.232318i | 0.758545 | − | 0.651621i | \(-0.225911\pi\) |
−0.907846 | + | 0.419303i | \(0.862274\pi\) | |||||||
\(458\) | 1.07667e8 | + | 9.32938e7i | 1.12069 | + | 0.971083i | ||||
\(459\) | − | 7.90904e6i | − | 0.0817872i | ||||||
\(460\) | −3.12647e7 | + | 6.75438e6i | −0.321204 | + | 0.0693924i | ||||
\(461\) | −1.10666e8 | −1.12956 | −0.564782 | − | 0.825240i | \(-0.691040\pi\) | ||||
−0.564782 | + | 0.825240i | \(0.691040\pi\) | |||||||
\(462\) | −2.12294e7 | + | 2.45000e7i | −0.215284 | + | 0.248451i | ||||
\(463\) | 1.48647e7 | − | 9.55298e6i | 0.149766 | − | 0.0962490i | −0.463612 | − | 0.886039i | \(-0.653447\pi\) |
0.613378 | + | 0.789790i | \(0.289810\pi\) | |||||||
\(464\) | 2.90755e7 | + | 2.02225e8i | 0.291054 | + | 2.02433i | ||||
\(465\) | −3.07261e7 | + | 1.40322e7i | −0.305597 | + | 0.139561i | ||||
\(466\) | 1.88200e7 | − | 1.30896e8i | 0.185978 | − | 1.29350i | ||||
\(467\) | −5.37019e7 | − | 1.82892e8i | −0.527277 | − | 1.79574i | −0.601952 | − | 0.798532i | \(-0.705610\pi\) |
0.0746754 | − | 0.997208i | \(-0.476208\pi\) | |||||||
\(468\) | 1.62679e7 | + | 1.04548e7i | 0.158706 | + | 0.101994i | ||||
\(469\) | 1.61384e7 | − | 3.53382e7i | 0.156438 | − | 0.342551i | ||||
\(470\) | −6.49081e6 | + | 2.21057e7i | −0.0625181 | + | 0.212917i | ||||
\(471\) | −3.57032e7 | + | 3.09370e7i | −0.341699 | + | 0.296084i | ||||
\(472\) | 5.57099e7 | + | 6.42927e7i | 0.529794 | + | 0.611414i | ||||
\(473\) | 1.02967e8 | + | 3.02338e7i | 0.973001 | + | 0.285699i | ||||
\(474\) | 1.19250e8 | + | 5.44595e7i | 1.11975 | + | 0.511374i | ||||
\(475\) | 9.51174e6 | − | 1.48005e7i | 0.0887522 | − | 0.138101i | ||||
\(476\) | −7.30236e6 | + | 2.14417e6i | −0.0677084 | + | 0.0198810i | ||||
\(477\) | 5.97016e7 | + | 8.58379e6i | 0.550086 | + | 0.0790904i | ||||
\(478\) | −9.15027e6 | − | 2.00363e7i | −0.0837819 | − | 0.183457i | ||||
\(479\) | 9.70494e7 | − | 1.39536e7i | 0.883052 | − | 0.126964i | 0.314154 | − | 0.949372i | \(-0.398279\pi\) |
0.568898 | + | 0.822408i | \(0.307370\pi\) | |||||||
\(480\) | −2.10595e7 | − | 3.27693e7i | −0.190425 | − | 0.296308i | ||||
\(481\) | −1.88925e7 | − | 1.63705e7i | −0.169768 | − | 0.147104i | ||||
\(482\) | − | 1.29908e8i | − | 1.16010i | ||||||
\(483\) | −2.02960e7 | + | 1.10448e7i | −0.180123 | + | 0.0980205i | ||||
\(484\) | −3.98217e7 | −0.351224 | ||||||||
\(485\) | 1.48516e7 | − | 1.71396e7i | 0.130181 | − | 0.150237i | ||||
\(486\) | −7.50448e6 | + | 4.82284e6i | −0.0653751 | + | 0.0420140i | ||||
\(487\) | 5.58802e6 | + | 3.88655e7i | 0.0483806 | + | 0.336494i | 0.999608 | + | 0.0280032i | \(0.00891486\pi\) |
−0.951227 | + | 0.308491i | \(0.900176\pi\) | |||||||
\(488\) | 4.52219e6 | − | 2.06521e6i | 0.0389125 | − | 0.0177707i | ||||
\(489\) | 1.06702e7 | − | 7.42125e7i | 0.0912523 | − | 0.634674i | ||||
\(490\) | −2.46636e7 | − | 8.39965e7i | −0.209637 | − | 0.713958i | ||||
\(491\) | −4.17787e7 | − | 2.68496e7i | −0.352948 | − | 0.226826i | 0.352137 | − | 0.935948i | \(-0.385455\pi\) |
−0.705085 | + | 0.709122i | \(0.749091\pi\) | |||||||
\(492\) | −3.33620e6 | + | 7.30525e6i | −0.0280128 | + | 0.0613394i | ||||
\(493\) | −2.34923e7 | + | 8.00075e7i | −0.196058 | + | 0.667713i | ||||
\(494\) | 4.33579e7 | − | 3.75698e7i | 0.359656 | − | 0.311644i | ||||
\(495\) | −2.46281e7 | − | 2.84224e7i | −0.203056 | − | 0.234339i | ||||
\(496\) | −1.21050e8 | − | 3.55434e7i | −0.992017 | − | 0.291282i | ||||
\(497\) | 6.51676e6 | + | 2.97610e6i | 0.0530839 | + | 0.0242426i | ||||
\(498\) | −5.93042e7 | + | 9.22792e7i | −0.480173 | + | 0.747164i | ||||
\(499\) | 1.70431e8 | − | 5.00430e7i | 1.37166 | − | 0.402756i | 0.488802 | − | 0.872395i | \(-0.337434\pi\) |
0.882859 | + | 0.469639i | \(0.155616\pi\) | |||||||
\(500\) | 6.12277e7 | + | 8.80321e6i | 0.489822 | + | 0.0704257i | ||||
\(501\) | 4.69181e6 | + | 1.02736e7i | 0.0373101 | + | 0.0816978i | ||||
\(502\) | 1.84246e8 | − | 2.64906e7i | 1.45642 | − | 0.209402i | ||||
\(503\) | 7.55858e7 | + | 1.17614e8i | 0.593931 | + | 0.924175i | 0.999947 | + | 0.0103089i | \(0.00328148\pi\) |
−0.406016 | + | 0.913866i | \(0.633082\pi\) | |||||||
\(504\) | −7.38953e6 | − | 6.40306e6i | −0.0577198 | − | 0.0500145i | ||||
\(505\) | − | 7.86965e7i | − | 0.611056i | ||||||
\(506\) | −1.94492e8 | − | 7.28591e7i | −1.50124 | − | 0.562383i | ||||
\(507\) | 3.50349e7 | 0.268830 | ||||||||
\(508\) | −4.35807e7 | + | 5.02948e7i | −0.332432 | + | 0.383647i | ||||
\(509\) | −6.64985e7 | + | 4.27360e7i | −0.504265 | + | 0.324071i | −0.767920 | − | 0.640546i | \(-0.778708\pi\) |
0.263655 | + | 0.964617i | \(0.415072\pi\) | |||||||
\(510\) | −3.94426e6 | − | 2.74329e7i | −0.0297341 | − | 0.206805i | ||||
\(511\) | 5.50737e7 | − | 2.51513e7i | 0.412745 | − | 0.188494i | ||||
\(512\) | 5.31558e6 | − | 3.69707e7i | 0.0396042 | − | 0.275453i | ||||
\(513\) | 2.37529e6 | + | 8.08950e6i | 0.0175940 | + | 0.0599197i | ||||
\(514\) | −2.11622e8 | − | 1.36001e8i | −1.55838 | − | 1.00151i | ||||
\(515\) | −1.48550e7 | + | 3.25279e7i | −0.108755 | + | 0.238141i | ||||
\(516\) | 8.00562e6 | − | 2.72646e7i | 0.0582701 | − | 0.198450i | ||||
\(517\) | −3.60163e7 | + | 3.12083e7i | −0.260632 | + | 0.225839i | ||||
\(518\) | −7.26688e6 | − | 8.38642e6i | −0.0522828 | − | 0.0603375i | ||||
\(519\) | 4.32176e7 | + | 1.26898e7i | 0.309142 | + | 0.0907723i | ||||
\(520\) | −7.02116e7 | − | 3.20646e7i | −0.499343 | − | 0.228042i | ||||
\(521\) | −2.40324e7 | + | 3.73951e7i | −0.169935 | + | 0.264425i | −0.915767 | − | 0.401710i | \(-0.868416\pi\) |
0.745832 | + | 0.666135i | \(0.232052\pi\) | |||||||
\(522\) | 9.02404e7 | − | 2.64970e7i | 0.634439 | − | 0.186288i | ||||
\(523\) | 1.44397e8 | + | 2.07612e7i | 1.00938 | + | 0.145126i | 0.627114 | − | 0.778927i | \(-0.284236\pi\) |
0.382262 | + | 0.924054i | \(0.375145\pi\) | |||||||
\(524\) | 1.98593e7 | + | 4.34858e7i | 0.138029 | + | 0.302241i | ||||
\(525\) | 1.48591e7 | − | 2.13641e6i | 0.102686 | − | 0.0147641i | ||||
\(526\) | −1.25770e7 | − | 1.95702e7i | −0.0864213 | − | 0.134474i | ||||
\(527\) | −3.89145e7 | − | 3.37196e7i | −0.265876 | − | 0.230383i | ||||
\(528\) | − | 1.40463e8i | − | 0.954248i | ||||||
\(529\) | −1.11600e8 | − | 9.72627e7i | −0.753872 | − | 0.657021i | ||||
\(530\) | 2.11359e8 | 1.41969 | ||||||||
\(531\) | 4.09880e7 | − | 4.73027e7i | 0.273762 | − | 0.315938i | ||||
\(532\) | 6.82502e6 | − | 4.38618e6i | 0.0453283 | − | 0.0291307i | ||||
\(533\) | 6.51781e6 | + | 4.53323e7i | 0.0430447 | + | 0.299383i | ||||
\(534\) | −7.67017e7 | + | 3.50285e7i | −0.503711 | + | 0.230037i | ||||
\(535\) | 1.17182e7 | − | 8.15020e7i | 0.0765244 | − | 0.532239i | ||||
\(536\) | 2.96720e7 | + | 1.01054e8i | 0.192687 | + | 0.656232i | ||||
\(537\) | 6.85482e6 | + | 4.40533e6i | 0.0442663 | + | 0.0284482i | ||||
\(538\) | 1.21137e8 | − | 2.65253e8i | 0.777912 | − | 1.70339i | ||||
\(539\) | 5.10171e7 | − | 1.73748e8i | 0.325799 | − | 1.10957i | ||||
\(540\) | −7.52599e6 | + | 6.52131e6i | −0.0477950 | + | 0.0414146i | ||||
\(541\) | −1.88511e8 | − | 2.17554e8i | −1.19055 | − | 1.37396i | −0.910256 | − | 0.414047i | \(-0.864115\pi\) |
−0.280289 | − | 0.959916i | \(-0.590430\pi\) | |||||||
\(542\) | −2.62737e8 | − | 7.71465e7i | −1.65015 | − | 0.484528i | ||||
\(543\) | −5.89144e7 | − | 2.69053e7i | −0.367978 | − | 0.168050i | ||||
\(544\) | 3.21026e7 | − | 4.99526e7i | 0.199408 | − | 0.310285i | ||||
\(545\) | −4.97122e7 | + | 1.45968e7i | −0.307096 | + | 0.0901714i | ||||
\(546\) | 4.84541e7 | + | 6.96665e6i | 0.297682 | + | 0.0428002i | ||||
\(547\) | 3.28184e7 | + | 7.18622e7i | 0.200519 | + | 0.439075i | 0.983002 | − | 0.183597i | \(-0.0587743\pi\) |
−0.782483 | + | 0.622672i | \(0.786047\pi\) | |||||||
\(548\) | 1.37266e8 | − | 1.97358e7i | 0.834104 | − | 0.119926i | ||||
\(549\) | −1.97750e6 | − | 3.07704e6i | −0.0119508 | − | 0.0185959i | ||||
\(550\) | 1.01975e8 | + | 8.83619e7i | 0.612923 | + | 0.531101i | ||||
\(551\) | − | 8.88884e7i | − | 0.531362i | ||||||
\(552\) | 2.19752e7 | − | 5.86614e7i | 0.130652 | − | 0.348767i | ||||
\(553\) | 1.05721e8 | 0.625151 | ||||||||
\(554\) | −4.26588e7 | + | 4.92309e7i | −0.250888 | + | 0.289540i | ||||
\(555\) | 1.08298e7 | − | 6.95988e6i | 0.0633492 | − | 0.0407120i | ||||
\(556\) | 440003. | + | 3.06029e6i | 0.00255995 | + | 0.0178048i | ||||
\(557\) | −1.84590e8 | + | 8.42993e7i | −1.06817 | + | 0.487819i | −0.870357 | − | 0.492421i | \(-0.836112\pi\) |
−0.197816 | + | 0.980239i | \(0.563385\pi\) | |||||||
\(558\) | −8.26522e6 | + | 5.74859e7i | −0.0475720 | + | 0.330871i | ||||
\(559\) | −4.56538e7 | − | 1.55483e8i | −0.261361 | − | 0.890115i | ||||
\(560\) | −4.60680e7 | − | 2.96061e7i | −0.262322 | − | 0.168584i | ||||
\(561\) | 2.38153e7 | − | 5.21483e7i | 0.134886 | − | 0.295360i | ||||
\(562\) | −7.23720e7 | + | 2.46476e8i | −0.407720 | + | 1.38857i | ||||
\(563\) | −1.19736e8 | + | 1.03752e8i | −0.670965 | + | 0.581395i | −0.922286 | − | 0.386509i | \(-0.873681\pi\) |
0.251320 | + | 0.967904i | \(0.419135\pi\) | |||||||
\(564\) | 8.26368e6 | + | 9.53679e6i | 0.0460613 | + | 0.0531575i | ||||
\(565\) | −2.30215e8 | − | 6.75972e7i | −1.27640 | − | 0.374786i | ||||
\(566\) | 7.57515e7 | + | 3.45946e7i | 0.417775 | + | 0.190791i | ||||
\(567\) | −3.88930e6 | + | 6.05187e6i | −0.0213365 | + | 0.0332002i | ||||
\(568\) | −1.86354e7 | + | 5.47186e6i | −0.101694 | + | 0.0298600i | ||||
\(569\) | 2.09264e8 | + | 3.00877e7i | 1.13595 | + | 0.163325i | 0.684528 | − | 0.728987i | \(-0.260008\pi\) |
0.451420 | + | 0.892311i | \(0.350918\pi\) | |||||||
\(570\) | 1.22731e7 | + | 2.68743e7i | 0.0662718 | + | 0.145115i | ||||
\(571\) | −2.48380e8 | + | 3.57116e7i | −1.33416 | + | 0.191823i | −0.772220 | − | 0.635355i | \(-0.780854\pi\) |
−0.561939 | + | 0.827178i | \(0.689945\pi\) | |||||||
\(572\) | 7.57817e7 | + | 1.17919e8i | 0.404927 | + | 0.630078i | ||||
\(573\) | 3.53159e6 | + | 3.06014e6i | 0.0187718 | + | 0.0162659i | ||||
\(574\) | 2.03300e7i | 0.107498i | ||||||||
\(575\) | 4.59712e7 | + | 8.44770e7i | 0.241814 | + | 0.444360i | ||||
\(576\) | 1.25857e7 | 0.0658580 | ||||||||
\(577\) | −2.43805e8 | + | 2.81366e8i | −1.26916 | + | 1.46469i | −0.447947 | + | 0.894060i | \(0.647845\pi\) |
−0.821211 | + | 0.570625i | \(0.806701\pi\) | |||||||
\(578\) | −1.61247e8 | + | 1.03627e8i | −0.835040 | + | 0.536648i | ||||
\(579\) | −2.51639e7 | − | 1.75019e8i | −0.129641 | − | 0.901674i | ||||
\(580\) | 9.55029e7 | − | 4.36147e7i | 0.489478 | − | 0.223537i | ||||
\(581\) | −1.25891e7 | + | 8.75594e7i | −0.0641900 | + | 0.446452i | ||||
\(582\) | −1.09856e7 | − | 3.74134e7i | −0.0557254 | − | 0.189783i | ||||
\(583\) | 3.67796e8 | + | 2.36368e8i | 1.85610 | + | 1.19284i | ||||
\(584\) | −6.81856e7 | + | 1.49306e8i | −0.342337 | + | 0.749614i | ||||
\(585\) | −1.59994e7 | + | 5.44891e7i | −0.0799166 | + | 0.272171i | ||||
\(586\) | −1.98019e8 | + | 1.71585e8i | −0.984045 | + | 0.852679i | ||||
\(587\) | −1.50475e8 | − | 1.73658e8i | −0.743962 | − | 0.858578i | 0.250007 | − | 0.968244i | \(-0.419567\pi\) |
−0.993968 | + | 0.109667i | \(0.965022\pi\) | |||||||
\(588\) | −4.60069e7 | − | 1.35089e7i | −0.226303 | − | 0.0664487i | ||||
\(589\) | 4.99293e7 | + | 2.28020e7i | 0.244349 | + | 0.111590i | ||||
\(590\) | 1.18579e8 | − | 1.84513e8i | 0.577367 | − | 0.898401i | ||||
\(591\) | −8.47075e7 | + | 2.48724e7i | −0.410355 | + | 0.120491i | ||||
\(592\) | 4.75915e7 | + | 6.84263e6i | 0.229385 | + | 0.0329806i | ||||
\(593\) | −6.59779e7 | − | 1.44472e8i | −0.316399 | − | 0.692816i | 0.682890 | − | 0.730521i | \(-0.260723\pi\) |
−0.999289 | + | 0.0377046i | \(0.987995\pi\) | |||||||
\(594\) | −6.40032e7 | + | 9.20227e6i | −0.305381 | + | 0.0439072i | ||||
\(595\) | −1.20835e7 | − | 1.88023e7i | −0.0573643 | − | 0.0892606i | ||||
\(596\) | 6.47458e7 | + | 5.61026e7i | 0.305825 | + | 0.264999i | ||||
\(597\) | − | 6.97667e7i | − | 0.327888i | ||||||
\(598\) | 6.62261e7 | + | 3.06548e8i | 0.309689 | + | 1.43349i | ||||
\(599\) | 7.44894e7 | 0.346588 | 0.173294 | − | 0.984870i | \(-0.444559\pi\) | ||||
0.173294 | + | 0.984870i | \(0.444559\pi\) | |||||||
\(600\) | −2.66511e7 | + | 3.07570e7i | −0.123385 | + | 0.142393i | ||||
\(601\) | 2.87485e8 | − | 1.84756e8i | 1.32432 | − | 0.851088i | 0.328686 | − | 0.944439i | \(-0.393394\pi\) |
0.995633 | + | 0.0933514i | \(0.0297580\pi\) | |||||||
\(602\) | −1.02371e7 | − | 7.12006e7i | −0.0469232 | − | 0.326358i | ||||
\(603\) | 7.04855e7 | − | 3.21897e7i | 0.321475 | − | 0.146813i | ||||
\(604\) | −4.65854e6 | + | 3.24009e7i | −0.0211417 | + | 0.147043i | ||||
\(605\) | −3.29473e7 | − | 1.12208e8i | −0.148783 | − | 0.506709i | ||||
\(606\) | −1.13827e8 | − | 7.31520e7i | −0.511477 | − | 0.328706i | ||||
\(607\) | 9.50577e6 | − | 2.08147e7i | 0.0425032 | − | 0.0930689i | −0.887189 | − | 0.461406i | \(-0.847345\pi\) |
0.929692 | + | 0.368337i | \(0.120073\pi\) | |||||||
\(608\) | −1.78330e7 | + | 6.07336e7i | −0.0793439 | + | 0.270220i | ||||
\(609\) | 5.73200e7 | − | 4.96681e7i | 0.253778 | − | 0.219900i | ||||
\(610\) | −8.39358e6 | − | 9.68671e6i | −0.0369792 | − | 0.0426763i | ||||
\(611\) | 6.90475e7 | + | 2.02742e7i | 0.302708 | + | 0.0888832i | ||||
\(612\) | −1.38084e7 | − | 6.30608e6i | −0.0602405 | − | 0.0275109i | ||||
\(613\) | 1.31805e8 | − | 2.05093e8i | 0.572205 | − | 0.890368i | −0.427704 | − | 0.903919i | \(-0.640677\pi\) |
0.999908 | + | 0.0135513i | \(0.00431363\pi\) | |||||||
\(614\) | −1.09552e8 | + | 3.21673e7i | −0.473275 | + | 0.138966i | ||||
\(615\) | −2.33447e7 | − | 3.35647e6i | −0.100361 | − | 0.0144297i | ||||
\(616\) | −2.94423e7 | − | 6.44696e7i | −0.125959 | − | 0.275812i | ||||
\(617\) | 2.65119e8 | − | 3.81183e7i | 1.12872 | − | 0.162285i | 0.447442 | − | 0.894313i | \(-0.352335\pi\) |
0.681274 | + | 0.732028i | \(0.261426\pi\) | |||||||
\(618\) | 3.32400e7 | + | 5.17225e7i | 0.140830 | + | 0.219136i | ||||
\(619\) | 2.72501e8 | + | 2.36124e8i | 1.14894 | + | 0.995561i | 0.999977 | + | 0.00671739i | \(0.00213823\pi\) |
0.148961 | + | 0.988843i | \(0.452407\pi\) | |||||||
\(620\) | 6.48330e7i | 0.272033i | ||||||||
\(621\) | −4.50212e7 | − | 9.86125e6i | −0.187993 | − | 0.0411772i | ||||
\(622\) | 3.63475e8 | 1.51044 | ||||||||
\(623\) | −4.45304e7 | + | 5.13909e7i | −0.184159 | + | 0.212531i | ||||
\(624\) | −1.78433e8 | + | 1.14672e8i | −0.734380 | + | 0.471957i | ||||
\(625\) | 8.27533e6 | + | 5.75562e7i | 0.0338958 | + | 0.235750i | ||||
\(626\) | −1.27300e8 | + | 5.81358e7i | −0.518924 | + | 0.236985i | ||||
\(627\) | −8.69722e6 | + | 6.04905e7i | −0.0352840 | + | 0.245406i | ||||
\(628\) | 2.55458e7 | + | 8.70010e7i | 0.103143 | + | 0.351273i | ||||
\(629\) | 1.65086e7 | + | 1.06095e7i | 0.0663375 | + | 0.0426326i | ||||
\(630\) | −1.04722e7 | + | 2.29308e7i | −0.0418808 | + | 0.0917061i | ||||
\(631\) | −7.20782e7 | + | 2.45476e8i | −0.286890 | + | 0.977059i | 0.682367 | + | 0.731010i | \(0.260951\pi\) |
−0.969257 | + | 0.246049i | \(0.920868\pi\) | |||||||
\(632\) | −2.16606e8 | + | 1.87690e8i | −0.858062 | + | 0.743515i | ||||
\(633\) | 6.82541e7 | + | 7.87695e7i | 0.269103 | + | 0.310561i | ||||
\(634\) | −2.96311e8 | − | 8.70049e7i | −1.16273 | − | 0.341410i | ||||
\(635\) | −1.77776e8 | − | 8.11877e7i | −0.694309 | − | 0.317080i | ||||
\(636\) | 6.25880e7 | − | 9.73889e7i | 0.243288 | − | 0.378563i | ||||
\(637\) | −2.62365e8 | + | 7.70372e7i | −1.01505 | + | 0.298045i | ||||
\(638\) | 6.74787e8 | + | 9.70198e7i | 2.59839 | + | 0.373592i | ||||
\(639\) | 5.93614e6 | + | 1.29983e7i | 0.0227511 | + | 0.0498179i | ||||
\(640\) | 2.01951e8 | − | 2.90362e7i | 0.770383 | − | 0.110764i | ||||
\(641\) | −7.57453e7 | − | 1.17862e8i | −0.287595 | − | 0.447507i | 0.667154 | − | 0.744920i | \(-0.267512\pi\) |
−0.954749 | + | 0.297413i | \(0.903876\pi\) | |||||||
\(642\) | −1.06992e8 | − | 9.27090e7i | −0.404339 | − | 0.350362i | ||||
\(643\) | − | 2.63018e8i | − | 0.989357i | −0.869076 | − | 0.494679i | \(-0.835286\pi\) | ||
0.869076 | − | 0.494679i | \(-0.164714\pi\) | |||||||
\(644\) | 3.10057e6 | + | 4.42412e7i | 0.0116087 | + | 0.165641i | ||||
\(645\) | 8.34489e7 | 0.310987 | ||||||||
\(646\) | −2.94925e7 | + | 3.40362e7i | −0.109399 | + | 0.126253i | ||||
\(647\) | −1.07603e8 | + | 6.91520e7i | −0.397292 | + | 0.255324i | −0.723998 | − | 0.689802i | \(-0.757698\pi\) |
0.326706 | + | 0.945126i | \(0.394061\pi\) | |||||||
\(648\) | −2.77552e6 | − | 1.93042e7i | −0.0102005 | − | 0.0709458i | ||||
\(649\) | 4.12690e8 | − | 1.88469e8i | 1.50970 | − | 0.689456i | ||||
\(650\) | 2.89969e7 | − | 2.01678e8i | 0.105587 | − | 0.734374i | ||||
\(651\) | 1.31950e7 | + | 4.49381e7i | 0.0478263 | + | 0.162882i | ||||
\(652\) | −1.21060e8 | − | 7.78006e7i | −0.436775 | − | 0.280699i | ||||
\(653\) | 2.20421e8 | − | 4.82656e8i | 0.791615 | − | 1.73340i | 0.119646 | − | 0.992817i | \(-0.461824\pi\) |
0.671969 | − | 0.740579i | \(-0.265449\pi\) | |||||||
\(654\) | −2.50969e7 | + | 8.54722e7i | −0.0897195 | + | 0.305557i | ||||
\(655\) | −1.06102e8 | + | 9.19376e7i | −0.377571 | + | 0.327167i | ||||
\(656\) | −5.76848e7 | − | 6.65718e7i | −0.204338 | − | 0.235819i | ||||
\(657\) | 1.15871e8 | + | 3.40229e7i | 0.408583 | + | 0.119971i | ||||
\(658\) | 2.90575e7 | + | 1.32701e7i | 0.101996 | + | 0.0465798i | ||||
\(659\) | −2.37506e8 | + | 3.69567e8i | −0.829888 | + | 1.29133i | 0.124337 | + | 0.992240i | \(0.460320\pi\) |
−0.954225 | + | 0.299090i | \(0.903317\pi\) | |||||||
\(660\) | −6.92593e7 | + | 2.03364e7i | −0.240905 | + | 0.0707362i | ||||
\(661\) | 1.39729e8 | + | 2.00900e7i | 0.483818 | + | 0.0695625i | 0.379908 | − | 0.925024i | \(-0.375956\pi\) |
0.103910 | + | 0.994587i | \(0.466865\pi\) | |||||||
\(662\) | −1.57576e8 | − | 3.45044e8i | −0.543147 | − | 1.18933i | ||||
\(663\) | −8.56872e7 | + | 1.23200e7i | −0.294019 | + | 0.0422735i | ||||
\(664\) | −1.29654e8 | − | 2.01746e8i | −0.442876 | − | 0.689129i | ||||
\(665\) | 1.80060e7 | + | 1.56023e7i | 0.0612284 | + | 0.0530547i | ||||
\(666\) | − | 2.21337e7i | − | 0.0749259i | ||||||
\(667\) | 4.26142e8 | + | 2.33483e8i | 1.43607 | + | 0.786825i | ||||
\(668\) | 2.16776e7 | 0.0727248 | ||||||||
\(669\) | 1.68789e8 | − | 1.94792e8i | 0.563722 | − | 0.650569i | ||||
\(670\) | 2.28430e8 | − | 1.46803e8i | 0.759500 | − | 0.488101i | ||||
\(671\) | −3.77318e6 | − | 2.62431e7i | −0.0124894 | − | 0.0868654i | ||||
\(672\) | −4.91288e7 | + | 2.24364e7i | −0.161893 | + | 0.0739341i | ||||
\(673\) | −8.04689e7 | + | 5.59673e8i | −0.263987 | + | 1.83607i | 0.238085 | + | 0.971244i | \(0.423480\pi\) |
−0.502072 | + | 0.864826i | \(0.667429\pi\) | |||||||
\(674\) | −1.61700e8 | − | 5.50700e8i | −0.528117 | − | 1.79860i | ||||
\(675\) | 2.51894e7 | + | 1.61882e7i | 0.0819041 | + | 0.0526366i | ||||
\(676\) | 2.79343e7 | − | 6.11675e7i | 0.0904268 | − | 0.198007i | ||||
\(677\) | −6.06142e7 | + | 2.06433e8i | −0.195348 | + | 0.665293i | 0.802311 | + | 0.596906i | \(0.203603\pi\) |
−0.997659 | + | 0.0683869i | \(0.978215\pi\) | |||||||
\(678\) | −3.11768e8 | + | 2.70149e8i | −1.00033 | + | 0.866789i | ||||
\(679\) | −2.05922e7 | − | 2.37647e7i | −0.0657800 | − | 0.0759142i | ||||
\(680\) | 5.81377e7 | + | 1.70708e7i | 0.184897 | + | 0.0542908i | ||||
\(681\) | −4.55358e6 | − | 2.07955e6i | −0.0144182 | − | 0.00658458i | ||||
\(682\) | −2.27596e8 | + | 3.54146e8i | −0.717481 | + | 1.11642i | ||||
\(683\) | 4.02450e8 | − | 1.18170e8i | 1.26314 | − | 0.370890i | 0.419475 | − | 0.907767i | \(-0.362214\pi\) |
0.843661 | + | 0.536877i | \(0.180396\pi\) | |||||||
\(684\) | 1.60173e7 | + | 2.30294e6i | 0.0500520 | + | 0.00719640i | ||||
\(685\) | 1.69180e8 | + | 3.70453e8i | 0.526354 | + | 1.15255i | ||||
\(686\) | −2.57636e8 | + | 3.70425e7i | −0.798058 | + | 0.114743i | ||||
\(687\) | 1.23890e8 | + | 1.92777e8i | 0.382092 | + | 0.594546i | ||||
\(688\) | 2.35548e8 | + | 2.04103e8i | 0.723292 | + | 0.626736i | ||||
\(689\) | − | 6.60183e8i | − | 2.01840i | ||||||
\(690\) | −1.61076e8 | − | 1.17521e7i | −0.490325 | − | 0.0357740i | ||||
\(691\) | 5.67214e8 | 1.71915 | 0.859573 | − | 0.511013i | \(-0.170729\pi\) | ||||
0.859573 | + | 0.511013i | \(0.170729\pi\) | |||||||
\(692\) | 5.66136e7 | − | 6.53356e7i | 0.170845 | − | 0.197166i | ||||
\(693\) | −4.38673e7 | + | 2.81918e7i | −0.131808 | + | 0.0847077i | ||||
\(694\) | 1.10219e8 | + | 7.66591e8i | 0.329745 | + | 2.29343i | ||||
\(695\) | −8.25912e6 | + | 3.77182e6i | −0.0246025 | + | 0.0112356i | ||||
\(696\) | −2.92624e7 | + | 2.03525e8i | −0.0867925 | + | 0.603655i | ||||
\(697\) | −1.01289e7 | − | 3.44957e7i | −0.0299132 | − | 0.101875i | ||||
\(698\) | −1.90635e8 | − | 1.22514e8i | −0.560579 | − | 0.360262i | ||||
\(699\) | 8.83640e7 | − | 1.93490e8i | 0.258728 | − | 0.566536i | ||||
\(700\) | 8.11755e6 | − | 2.76458e7i | 0.0236663 | − | 0.0806001i | ||||
\(701\) | −3.71993e8 | + | 3.22334e8i | −1.07989 | + | 0.935733i | −0.998143 | − | 0.0609196i | \(-0.980597\pi\) |
−0.0817510 | + | 0.996653i | \(0.526051\pi\) | |||||||
\(702\) | 6.39409e7 | + | 7.37917e7i | 0.184828 | + | 0.213303i | ||||
\(703\) | −2.00716e7 | − | 5.89356e6i | −0.0577719 | − | 0.0169633i | ||||
\(704\) | 8.29836e7 | + | 3.78973e7i | 0.237834 | + | 0.108615i | ||||
\(705\) | −2.00353e7 | + | 3.11755e7i | −0.0571779 | + | 0.0889706i | ||||
\(706\) | −6.05328e8 | + | 1.77740e8i | −1.72019 | + | 0.505094i | ||||
\(707\) | −1.08005e8 | − | 1.55287e7i | −0.305622 | − | 0.0439418i | ||||
\(708\) | −4.99050e7 | − | 1.09277e8i | −0.140619 | − | 0.307913i | ||||
\(709\) | −2.57988e8 | + | 3.70931e7i | −0.723870 | + | 0.104077i | −0.494395 | − | 0.869238i | \(-0.664610\pi\) |
−0.229476 | + | 0.973314i | \(0.573701\pi\) | |||||||
\(710\) | 2.70721e7 | + | 4.21250e7i | 0.0756392 | + | 0.117697i | ||||
\(711\) | 1.59365e8 | + | 1.38091e8i | 0.443389 | + | 0.384199i | ||||
\(712\) | − | 1.84349e8i | − | 0.510740i | ||||||
\(713\) | −2.40465e8 | + | 1.79473e8i | −0.663411 | + | 0.495144i | ||||
\(714\) | −3.84278e7 | −0.105573 | ||||||||
\(715\) | −2.69567e8 | + | 3.11097e8i | −0.737478 | + | 0.851095i | ||||
\(716\) | 1.31568e7 | − | 8.45535e6i | 0.0358435 | − | 0.0230352i | ||||
\(717\) | −5.04228e6 | − | 3.50698e7i | −0.0136795 | − | 0.0951428i | ||||
\(718\) | 4.30222e8 | − | 1.96476e8i | 1.16230 | − | 0.530806i | ||||
\(719\) | 9.55636e7 | − | 6.64659e8i | 0.257102 | − | 1.78818i | −0.296120 | − | 0.955151i | \(-0.595693\pi\) |
0.553222 | − | 0.833034i | \(-0.313398\pi\) | |||||||
\(720\) | −3.07727e7 | − | 1.04802e8i | −0.0824457 | − | 0.280784i | ||||
\(721\) | 4.17108e7 | + | 2.68059e7i | 0.111287 | + | 0.0715195i | ||||
\(722\) | −1.69457e8 | + | 3.71060e8i | −0.450245 | + | 0.985899i | ||||
\(723\) | 5.88707e7 | − | 2.00495e8i | 0.155770 | − | 0.530504i | ||||
\(724\) | −9.39479e7 | + | 8.14063e7i | −0.247555 | + | 0.214507i | ||||
\(725\) | −2.06730e8 | − | 2.38580e8i | −0.542488 | − | 0.626065i | ||||
\(726\) | −1.92924e8 | − | 5.66476e7i | −0.504169 | − | 0.148037i | ||||
\(727\) | −5.20709e8 | − | 2.37800e8i | −1.35516 | − | 0.618882i | −0.400425 | − | 0.916330i | \(-0.631137\pi\) |
−0.954738 | + | 0.297448i | \(0.903865\pi\) | |||||||
\(728\) | −5.78606e7 | + | 9.00329e7i | −0.149965 | + | 0.233350i | ||||
\(729\) | −1.37677e7 | + | 4.04255e6i | −0.0355368 | + | 0.0104345i | ||||
\(730\) | 4.18873e8 | + | 6.02249e7i | 1.07675 | + | 0.154813i | ||||
\(731\) | 5.28438e7 | + | 1.15712e8i | 0.135283 | + | 0.296228i | ||||
\(732\) | −6.94892e6 | + | 999104.i | −0.0177168 | + | 0.00254728i | ||||
\(733\) | −2.89650e8 | − | 4.50704e8i | −0.735464 | − | 1.14440i | −0.984410 | − | 0.175887i | \(-0.943721\pi\) |
0.248946 | − | 0.968517i | \(-0.419916\pi\) | |||||||
\(734\) | 4.51358e8 | + | 3.91104e8i | 1.14139 | + | 0.989018i | ||||
\(735\) | − | 1.40813e8i | − | 0.354635i | ||||||
\(736\) | −2.44322e8 | − | 2.45023e8i | −0.612816 | − | 0.614572i | ||||
\(737\) | 5.61675e8 | 1.40308 | ||||||||
\(738\) | −2.65548e7 | + | 3.06459e7i | −0.0660654 | + | 0.0762435i | ||||
\(739\) | −1.00847e8 | + | 6.48101e7i | −0.249878 | + | 0.160587i | −0.659584 | − | 0.751631i | \(-0.729268\pi\) |
0.409706 | + | 0.912217i | \(0.365631\pi\) | |||||||
\(740\) | −3.51639e6 | − | 2.44570e7i | −0.00867764 | − | 0.0603543i | ||||
\(741\) | 8.39423e7 | − | 3.83352e7i | 0.206313 | − | 0.0942199i | ||||
\(742\) | 4.17063e7 | − | 2.90074e8i | 0.102092 | − | 0.710062i | ||||
\(743\) | 1.66958e8 | + | 5.68606e8i | 0.407043 | + | 1.38626i | 0.866995 | + | 0.498317i | \(0.166048\pi\) |
−0.459952 | + | 0.887944i | \(0.652133\pi\) | |||||||
\(744\) | −1.06815e8 | − | 6.86458e7i | −0.259366 | − | 0.166684i | ||||
\(745\) | −1.04515e8 | + | 2.28856e8i | −0.252761 | + | 0.553469i | ||||
\(746\) | 1.62414e8 | − | 5.53131e8i | 0.391207 | − | 1.33233i | ||||
\(747\) | −1.33346e8 | + | 1.15545e8i | −0.319903 | + | 0.277197i | ||||
\(748\) | −7.20571e7 | − | 8.31583e7i | −0.172176 | − | 0.198701i | ||||
\(749\) | −1.09543e8 | − | 3.21647e7i | −0.260698 | − | 0.0765480i | ||||
\(750\) | 2.84107e8 | + | 1.29747e8i | 0.673438 | + | 0.307549i | ||||
\(751\) | −1.72085e8 | + | 2.67770e8i | −0.406279 | + | 0.632182i | −0.982751 | − | 0.184935i | \(-0.940793\pi\) |
0.576472 | + | 0.817117i | \(0.304429\pi\) | |||||||
\(752\) | −1.32803e8 | + | 3.89946e7i | −0.312288 | + | 0.0916960i | ||||
\(753\) | 2.96362e8 | + | 4.26105e7i | 0.694125 | + | 0.0998002i | ||||
\(754\) | −4.27639e8 | − | 9.36398e8i | −0.997615 | − | 2.18447i | ||||
\(755\) | −9.51523e7 | + | 1.36808e7i | −0.221095 | + | 0.0317886i | ||||
\(756\) | 7.46492e6 | + | 1.16156e7i | 0.0172767 | + | 0.0268830i | ||||
\(757\) | 7.71696e7 | + | 6.68678e7i | 0.177893 | + | 0.154145i | 0.739256 | − | 0.673425i | \(-0.235177\pi\) |
−0.561363 | + | 0.827570i | \(0.689723\pi\) | |||||||
\(758\) | 2.79991e8i | 0.642890i | ||||||||
\(759\) | −2.67154e8 | − | 2.00586e8i | −0.610993 | − | 0.458749i | ||||
\(760\) | −6.45910e7 | −0.147140 | ||||||||
\(761\) | −4.11853e7 | + | 4.75304e7i | −0.0934519 | + | 0.107849i | −0.800549 | − | 0.599267i | \(-0.795459\pi\) |
0.707097 | + | 0.707116i | \(0.250004\pi\) | |||||||
\(762\) | −2.82681e8 | + | 1.81668e8i | −0.638899 | + | 0.410595i | ||||
\(763\) | 1.02236e7 | + | 7.11065e7i | 0.0230159 | + | 0.160079i | ||||
\(764\) | 8.15852e6 | − | 3.72587e6i | 0.0182949 | − | 0.00835502i | ||||
\(765\) | 6.34439e6 | − | 4.41262e7i | 0.0141712 | − | 0.0985627i | ||||
\(766\) | −2.06112e8 | − | 7.01953e8i | −0.458582 | − | 1.56179i | ||||
\(767\) | −5.76329e8 | − | 3.70384e8i | −1.27727 | − | 0.820854i | ||||
\(768\) | 1.24260e8 | − | 2.72091e8i | 0.274313 | − | 0.600662i | ||||
\(769\) | 1.58737e8 | − | 5.40607e8i | 0.349058 | − | 1.18878i | −0.578681 | − | 0.815554i | \(-0.696432\pi\) |
0.927739 | − | 0.373229i | \(-0.121749\pi\) | |||||||
\(770\) | −1.38097e8 | + | 1.19661e8i | −0.302490 | + | 0.262109i | ||||
\(771\) | −2.64977e8 | − | 3.05800e8i | −0.578156 | − | 0.667228i | ||||
\(772\) | −3.25629e8 | − | 9.56134e7i | −0.707737 | − | 0.207810i | ||||
\(773\) | 6.26313e8 | + | 2.86028e8i | 1.35598 | + | 0.619255i | 0.954938 | − | 0.296805i | \(-0.0959212\pi\) |
0.401041 | + | 0.916060i | \(0.368648\pi\) | |||||||
\(774\) | 7.75696e7 | − | 1.20701e8i | 0.167289 | − | 0.260307i | ||||
\(775\) | 1.87043e8 | − | 5.49209e7i | 0.401825 | − | 0.117987i | ||||
\(776\) | 8.43806e7 | + | 1.21321e7i | 0.180575 | + | 0.0259628i | ||||
\(777\) | −7.41491e6 | − | 1.62364e7i | −0.0158068 | − | 0.0346120i | ||||
\(778\) | 2.02846e8 | − | 2.91648e7i | 0.430752 | − | 0.0619328i | ||||
\(779\) | 2.07199e7 | + | 3.22409e7i | 0.0438305 | + | 0.0682015i | ||||
\(780\) | 8.23757e7 | + | 7.13790e7i | 0.173586 | + | 0.150413i | ||||
\(781\) | 1.03579e8i | 0.217430i | ||||||||
\(782\) | −8.57055e7 | − | 2.30793e8i | −0.179221 | − | 0.482618i | ||||
\(783\) | 1.51281e8 | 0.315137 | ||||||||
\(784\) | 3.44408e8 | − | 3.97468e8i | 0.714702 | − | 0.824810i | ||||
\(785\) | −2.24012e8 | + | 1.43964e8i | −0.463087 | + | 0.297608i | ||||
\(786\) | 3.43523e7 | + | 2.38926e8i | 0.0707438 | + | 0.492034i | ||||
\(787\) | 4.74399e8 | − | 2.16651e8i | 0.973240 | − | 0.444464i | 0.135646 | − | 0.990757i | \(-0.456689\pi\) |
0.837594 | + | 0.546293i | \(0.183962\pi\) | |||||||
\(788\) | −2.41148e7 | + | 1.67722e8i | −0.0492839 | + | 0.342777i | ||||
\(789\) | −1.05422e7 | − | 3.59034e7i | −0.0214635 | − | 0.0730979i | ||||
\(790\) | 6.21634e8 | + | 3.99500e8i | 1.26082 | + | 0.810280i | ||||
\(791\) | −1.38199e8 | + | 3.02614e8i | −0.279239 | + | 0.611447i | ||||
\(792\) | 3.98274e7 | − | 1.35640e8i | 0.0801691 | − | 0.273031i | ||||
\(793\) | −3.02566e7 | + | 2.62175e7i | −0.0606737 | + | 0.0525741i | ||||
\(794\) | −5.79556e8 | − | 6.68843e8i | −1.15780 | − | 1.33617i | ||||
\(795\) | 3.26202e8 | + | 9.57816e7i | 0.649211 | + | 0.190625i | ||||
\(796\) | −1.21806e8 | − | 5.56268e7i | −0.241506 | − | 0.110292i | ||||
\(797\) | 1.46595e8 | − | 2.28107e8i | 0.289564 | − | 0.450571i | −0.665745 | − | 0.746179i | \(-0.731886\pi\) |
0.955309 | + | 0.295609i | \(0.0955225\pi\) | |||||||
\(798\) | 3.93046e7 | − | 1.15409e7i | 0.0773455 | − | 0.0227107i | ||||
\(799\) | −5.59159e7 | − | 8.03949e6i | −0.109621 | − | 0.0157612i | ||||
\(800\) | 9.33856e7 | + | 2.04486e8i | 0.182394 | + | 0.399387i | ||||
\(801\) | −1.34252e8 | + | 1.93025e7i | −0.261230 | + | 0.0375592i | ||||
\(802\) | −1.32779e7 | − | 2.06608e7i | −0.0257399 | − | 0.0400520i | ||||
\(803\) | 6.61551e8 | + | 5.73237e8i | 1.27766 | + | 1.10710i | ||||
\(804\) | − | 1.48726e8i | − | 0.286167i | ||||||
\(805\) | −1.22096e8 | + | 4.53405e7i | −0.234052 | + | 0.0869158i | ||||
\(806\) | 6.35682e8 | 1.21404 | ||||||||
\(807\) | 3.07163e8 | − | 3.54485e8i | 0.584451 | − | 0.674493i | ||||
\(808\) | 2.48854e8 | − | 1.59929e8i | 0.471749 | − | 0.303174i | ||||
\(809\) | 3.42558e7 | + | 2.38254e8i | 0.0646976 | + | 0.449982i | 0.996260 | + | 0.0864013i | \(0.0275367\pi\) |
−0.931563 | + | 0.363580i | \(0.881554\pi\) | |||||||
\(810\) | −4.57379e7 | + | 2.08878e7i | −0.0860639 | + | 0.0393041i | ||||
\(811\) | 3.83844e7 | − | 2.66969e8i | 0.0719601 | − | 0.500494i | −0.921685 | − | 0.387938i | \(-0.873187\pi\) |
0.993645 | − | 0.112555i | \(-0.0359035\pi\) | |||||||
\(812\) | −4.10128e7 | − | 1.39677e8i | −0.0766039 | − | 0.260889i | ||||
\(813\) | −3.70537e8 | − | 2.38129e8i | −0.689540 | − | 0.443141i | ||||
\(814\) | 6.66481e7 | − | 1.45939e8i | 0.123570 | − | 0.270581i | ||||
\(815\) | 1.19062e8 | − | 4.05489e8i | 0.219938 | − | 0.749041i | ||||
\(816\) | 1.25834e8 | − | 1.09036e8i | 0.231594 | − | 0.200677i | ||||
\(817\) | −8.88009e7 | − | 1.02482e8i | −0.162836 | − | 0.187923i | ||||
\(818\) | 5.77843e8 | + | 1.69670e8i | 1.05572 | + | 0.309988i | ||||
\(819\) | 7.16249e7 | + | 3.27100e7i | 0.130380 | + | 0.0595427i | ||||
\(820\) | −2.44734e7 | + | 3.80814e7i | −0.0443867 | + | 0.0690671i | ||||
\(821\) | −2.49988e8 | + | 7.34031e7i | −0.451741 | + | 0.132643i | −0.499686 | − | 0.866207i | \(-0.666551\pi\) |
0.0479446 | + | 0.998850i | \(0.484733\pi\) | |||||||
\(822\) | 6.93085e8 | + | 9.96505e7i | 1.24787 | + | 0.179417i | ||||
\(823\) | 6.06401e7 | + | 1.32783e8i | 0.108783 | + | 0.238201i | 0.956193 | − | 0.292738i | \(-0.0945664\pi\) |
−0.847410 | + | 0.530939i | \(0.821839\pi\) | |||||||
\(824\) | −1.33049e8 | + | 1.91295e7i | −0.237809 | + | 0.0341918i | ||||
\(825\) | 1.17341e8 | + | 1.82586e8i | 0.208972 | + | 0.325167i | ||||
\(826\) | −2.29831e8 | − | 1.99149e8i | −0.407820 | − | 0.353378i | ||||
\(827\) | − | 8.29335e8i | − | 1.46627i | −0.680084 | − | 0.733134i | \(-0.738057\pi\) | ||
0.680084 | − | 0.733134i | \(-0.261943\pi\) | |||||||
\(828\) | −5.31133e7 | + | 7.07399e7i | −0.0935648 | + | 0.124616i | ||||
\(829\) | −5.18280e8 | −0.909705 | −0.454853 | − | 0.890567i | \(-0.650308\pi\) | ||||
−0.454853 | + | 0.890567i | \(0.650308\pi\) | |||||||
\(830\) | −4.04895e8 | + | 4.67274e8i | −0.708122 | + | 0.817216i | ||||
\(831\) | −8.81478e7 | + | 5.66491e7i | −0.153606 | + | 0.0987166i | ||||
\(832\) | −1.96048e7 | − | 1.36354e8i | −0.0340402 | − | 0.236755i | ||||
\(833\) | 1.95255e8 | − | 8.91698e7i | 0.337805 | − | 0.154270i | ||||
\(834\) | −2.22167e6 | + | 1.54521e7i | −0.00382985 | + | 0.0266372i | ||||
\(835\) | 1.79354e7 | + | 6.10824e7i | 0.0308072 | + | 0.104920i | ||||
\(836\) | 9.86758e7 | + | 6.34151e7i | 0.168885 | + | 0.108536i | ||||
\(837\) | −3.88071e7 | + | 8.49757e7i | −0.0661812 | + | 0.144917i | ||||
\(838\) | −3.97609e7 | + | 1.35413e8i | −0.0675654 | + | 0.230107i | ||||
\(839\) | −7.22763e8 | + | 6.26278e8i | −1.22380 | + | 1.06043i | −0.227561 | + | 0.973764i | \(0.573075\pi\) |
−0.996238 | + | 0.0866640i | \(0.972379\pi\) | |||||||
\(840\) | −3.60914e7 | − | 4.16517e7i | −0.0608928 | − | 0.0702741i | ||||
\(841\) | −9.59623e8 | − | 2.81771e8i | −1.61329 | − | 0.473705i | ||||
\(842\) | −3.54731e8 | − | 1.62000e8i | −0.594242 | − | 0.271381i | ||||
\(843\) | −2.23392e8 | + | 3.47604e8i | −0.372893 | + | 0.580233i | ||||
\(844\) | 1.91944e8 | − | 5.63600e7i | 0.319263 | − | 0.0937440i | ||||
\(845\) | 1.95468e8 | + | 2.81040e7i | 0.323970 | + | 0.0465798i | ||||
\(846\) | 2.64686e7 | + | 5.79582e7i | 0.0437139 | + | 0.0957202i | ||||
\(847\) | −1.60498e8 | + | 2.30762e7i | −0.264131 | + | 0.0379764i | ||||
\(848\) | 6.86490e8 | + | 1.06820e9i | 1.12576 | + | 1.75172i | ||||
\(849\) | 1.01234e8 | + | 8.77202e7i | 0.165427 | + | 0.143343i | ||||
\(850\) | 1.59946e8i | 0.260445i | ||||||||
\(851\) | 8.09766e7 | − | 8.07452e7i | 0.131393 | − | 0.131017i | ||||
\(852\) | 2.74268e7 | 0.0443462 | ||||||||
\(853\) | −7.83148e8 | + | 9.03801e8i | −1.26182 | + | 1.45622i | −0.428383 | + | 0.903597i | \(0.640916\pi\) |
−0.833435 | + | 0.552618i | \(0.813629\pi\) | |||||||
\(854\) | −1.49505e7 | + | 9.60811e6i | −0.0240039 | + | 0.0154264i | ||||
\(855\) | 6.76311e6 | + | 4.70384e7i | 0.0108205 | + | 0.0752583i | ||||
\(856\) | 2.81540e8 | − | 1.28575e8i | 0.448868 | − | 0.204991i | ||||
\(857\) | −9.52592e6 | + | 6.62543e7i | −0.0151344 | + | 0.105262i | −0.995988 | − | 0.0894825i | \(-0.971479\pi\) |
0.980854 | + | 0.194744i | \(0.0623878\pi\) | |||||||
\(858\) | 1.99396e8 | + | 6.79082e8i | 0.315686 | + | 1.07513i | ||||
\(859\) | −6.92903e8 | − | 4.45302e8i | −1.09318 | − | 0.702546i | −0.135617 | − | 0.990761i | \(-0.543302\pi\) |
−0.957566 | + | 0.288215i | \(0.906938\pi\) | |||||||
\(860\) | 6.65360e7 | − | 1.45693e8i | 0.104607 | − | 0.229058i | ||||
\(861\) | −9.21298e6 | + | 3.13765e7i | −0.0144341 | + | 0.0491581i | ||||
\(862\) | −3.12543e8 | + | 2.70820e8i | −0.487964 | + | 0.422823i | ||||
\(863\) | 1.88050e8 | + | 2.17021e8i | 0.292577 | + | 0.337652i | 0.882940 | − | 0.469486i | \(-0.155561\pi\) |
−0.590363 | + | 0.807138i | \(0.701015\pi\) | |||||||
\(864\) | −1.03364e8 | − | 3.03503e7i | −0.160261 | − | 0.0470568i | ||||
\(865\) | 2.30941e8 | + | 1.05467e8i | 0.356822 | + | 0.162955i | ||||
\(866\) | −3.41854e8 | + | 5.31935e8i | −0.526364 | + | 0.819039i | ||||
\(867\) | −2.95822e8 | + | 8.68612e7i | −0.453914 | + | 0.133281i | ||||
\(868\) | 8.89782e7 | + | 1.27931e7i | 0.136058 | + | 0.0195622i | ||||
\(869\) | 6.34964e8 | + | 1.39038e9i | 0.967586 | + | 2.11872i | ||||
\(870\) | 5.24726e8 | − | 7.54442e7i | 0.796847 | − | 0.114569i | ||||
\(871\) | −4.58541e8 | − | 7.13504e8i | −0.693943 | − | 1.07980i | ||||
\(872\) | −1.47184e8 | − | 1.27536e8i | −0.221979 | − | 0.192346i | ||||
\(873\) | − | 6.27206e7i | − | 0.0942687i | ||||||
\(874\) | 1.56974e8 | + | 2.10320e8i | 0.235123 | + | 0.315026i | ||||
\(875\) | 2.51875e8 | 0.375976 | ||||||||
\(876\) | 1.51788e8 | − | 1.75173e8i | 0.225800 | − | 0.260588i | ||||
\(877\) | 6.83001e8 | − | 4.38938e8i | 1.01256 | − | 0.650736i | 0.0745091 | − | 0.997220i | \(-0.476261\pi\) |
0.938056 | + | 0.346484i | \(0.112625\pi\) | |||||||
\(878\) | 1.79666e8 | + | 1.24961e9i | 0.265450 | + | 1.84625i | ||||
\(879\) | −3.83372e8 | + | 1.75080e8i | −0.564487 | + | 0.257792i | ||||
\(880\) | 1.12675e8 | − | 7.83675e8i | 0.165341 | − | 1.14997i | ||||
\(881\) | 1.08215e8 | + | 3.68547e8i | 0.158256 | + | 0.538971i | 1.00000 | 0.000906760i | \(-0.000288631\pi\) | |
−0.841743 | + | 0.539878i | \(0.818470\pi\) | |||||||
\(882\) | −2.03673e8 | − | 1.30893e8i | −0.296843 | − | 0.190770i | ||||
\(883\) | −2.57326e8 | + | 5.63466e8i | −0.373768 | + | 0.818437i | 0.625502 | + | 0.780223i | \(0.284894\pi\) |
−0.999270 | + | 0.0382145i | \(0.987833\pi\) | |||||||
\(884\) | −4.68112e7 | + | 1.59424e8i | −0.0677631 | + | 0.230780i | ||||
\(885\) | 2.66626e8 | − | 2.31033e8i | 0.384656 | − | 0.333306i | ||||
\(886\) | 8.02495e8 | + | 9.26129e8i | 1.15383 | + | 1.33159i | ||||
\(887\) | −6.23127e8 | − | 1.82967e8i | −0.892906 | − | 0.262181i | −0.197077 | − | 0.980388i | \(-0.563145\pi\) |
−0.695829 | + | 0.718207i | \(0.744963\pi\) | |||||||
\(888\) | 4.40171e7 | + | 2.01019e7i | 0.0628611 | + | 0.0287077i | ||||
\(889\) | −1.46503e8 | + | 2.27964e8i | −0.208518 | + | 0.324460i | ||||
\(890\) | −4.56034e8 | + | 1.33904e8i | −0.646885 | + | 0.189943i | ||||
\(891\) | −1.02950e8 | − | 1.48020e7i | −0.145544 | − | 0.0209260i | ||||
\(892\) | −2.05509e8 | − | 4.50001e8i | −0.289558 | − | 0.634043i | ||||
\(893\) | 5.96062e7 | − | 8.57008e6i | 0.0837022 | − | 0.0120346i | ||||
\(894\) | 2.33866e8 | + | 3.63903e8i | 0.327307 | + | 0.509299i | ||||
\(895\) | 3.47107e7 | + | 3.00770e7i | 0.0484166 | + | 0.0419532i | ||||
\(896\) | − | 2.82892e8i | − | 0.393275i | ||||||
\(897\) | −3.67078e7 | + | 5.03125e8i | −0.0508606 | + | 0.697105i | ||||
\(898\) | 9.38288e8 | 1.29571 | ||||||||
\(899\) | 6.44976e8 | − | 7.44342e8i | 0.887696 | − | 1.02446i | ||||
\(900\) | 4.83471e7 | − | 3.10708e7i | 0.0663198 | − | 0.0426211i | ||||
\(901\) | 7.37542e7 | + | 5.12972e8i | 0.100835 | + | 0.701325i | ||||
\(902\) | −2.67369e8 | + | 1.22103e8i | −0.364327 | + | 0.166382i | ||||
\(903\) | 1.64665e7 | − | 1.14527e8i | 0.0223634 | − | 0.155541i | ||||
\(904\) | −2.54092e8 | − | 8.65359e8i | −0.343943 | − | 1.17136i | ||||
\(905\) | −3.07113e8 | − | 1.97370e8i | −0.414336 | − | 0.266278i | ||||
\(906\) | −6.86604e7 | + | 1.50345e8i | −0.0923256 | + | 0.202165i | ||||
\(907\) | −1.25685e8 | + | 4.28042e8i | −0.168446 | + | 0.573674i | 0.831392 | + | 0.555686i | \(0.187544\pi\) |
−0.999838 | + | 0.0179880i | \(0.994274\pi\) | |||||||
\(908\) | −7.26138e6 | + | 6.29202e6i | −0.00969977 | + | 0.00840490i | ||||
\(909\) | −1.42525e8 | − | 1.64483e8i | −0.189758 | − | 0.218992i | ||||
\(910\) | 2.64747e8 | + | 7.77368e7i | 0.351324 | + | 0.103158i | ||||
\(911\) | −3.09376e8 | − | 1.41288e8i | −0.409197 | − | 0.186874i | 0.200172 | − | 0.979761i | \(-0.435850\pi\) |
−0.609369 | + | 0.792887i | \(0.708577\pi\) | |||||||
\(912\) | −9.59588e7 | + | 1.49315e8i | −0.126503 | + | 0.196842i | ||||
\(913\) | −1.22714e9 | + | 3.60321e8i | −1.61243 | + | 0.473453i | ||||
\(914\) | −2.52836e8 | − | 3.63523e7i | −0.331131 | − | 0.0476095i | ||||
\(915\) | −8.56457e6 | − | 1.87538e7i | −0.0111800 | − | 0.0244808i | ||||
\(916\) | 4.35351e8 | − | 6.25940e7i | 0.566439 | − | 0.0814416i | ||||
\(917\) | 1.05241e8 | + | 1.63758e8i | 0.136482 | + | 0.212370i | ||||
\(918\) | −5.79268e7 | − | 5.01939e7i | −0.0748776 | − | 0.0648818i | ||||
\(919\) | 9.28925e8i | 1.19683i | 0.801185 | + | 0.598417i | \(0.204203\pi\) | ||||
−0.801185 | + | 0.598417i | \(0.795797\pi\) | |||||||
\(920\) | 1.69661e8 | − | 3.09657e8i | 0.217881 | − | 0.397665i | ||||
\(921\) | −1.83655e8 | −0.235084 | ||||||||
\(922\) | −7.02330e8 | + | 8.10532e8i | −0.896083 | + | 1.03414i | ||||
\(923\) | 1.31578e8 | − | 8.45603e7i | 0.167332 | − | 0.107538i | ||||
\(924\) | 1.42435e7 | + | 9.90659e7i | 0.0180552 | + | 0.125576i | ||||
\(925\) | −6.75798e7 | + | 3.08626e7i | −0.0853870 | + | 0.0389949i | ||||
\(926\) | 2.43702e7 | − | 1.69498e8i | 0.0306920 | − | 0.213468i | ||||
\(927\) | 2.78621e7 | + | 9.48897e7i | 0.0349764 | + | 0.119119i | ||||
\(928\) | 9.55474e8 | + | 6.14046e8i | 1.19557 | + | 0.768346i | ||||
\(929\) | 2.42910e8 | − | 5.31898e8i | 0.302969 | − | 0.663409i | −0.695512 | − | 0.718515i | \(-0.744822\pi\) |
0.998481 | + | 0.0551058i | \(0.0175496\pi\) | |||||||
\(930\) | −9.22269e7 | + | 3.14096e8i | −0.114659 | + | 0.390493i | ||||
\(931\) | −1.72930e8 | + | 1.49844e8i | −0.214299 | + | 0.185691i | ||||
\(932\) | −2.67360e8 | − | 3.08550e8i | −0.330254 | − | 0.381134i | ||||
\(933\) | 5.60972e8 | + | 1.64716e8i | 0.690711 | + | 0.202811i | ||||
\(934\) | −1.68034e9 | − | 7.67384e8i | −2.06232 | − | 0.941829i | ||||
\(935\) | 1.74703e8 | − | 2.71843e8i | 0.213730 | − | 0.332570i | ||||
\(936\) | −2.04820e8 | + | 6.01405e7i | −0.249772 | + | 0.0733398i | ||||
\(937\) | 5.81767e8 | + | 8.36454e7i | 0.707180 | + | 0.101677i | 0.486515 | − | 0.873672i | \(-0.338268\pi\) |
0.220666 | + | 0.975350i | \(0.429177\pi\) | |||||||
\(938\) | −1.56401e8 | − | 3.42470e8i | −0.189509 | − | 0.414967i | ||||
\(939\) | −2.22814e8 | + | 3.20359e7i | −0.269120 | + | 0.0386936i | ||||
\(940\) | 3.84547e7 | + | 5.98367e7i | 0.0462984 | + | 0.0720417i | ||||
\(941\) | −1.42220e7 | − | 1.23234e7i | −0.0170683 | − | 0.0147898i | 0.646285 | − | 0.763096i | \(-0.276322\pi\) |
−0.663353 | + | 0.748306i | \(0.730867\pi\) | |||||||
\(942\) | 4.57833e8i | 0.547715i | ||||||||
\(943\) | −2.08992e8 | + | 1.46468e7i | −0.249226 | + | 0.0174666i | ||||
\(944\) | 1.31766e9 | 1.56635 | ||||||||
\(945\) | −2.65539e7 | + | 3.06448e7i | −0.0314654 | + | 0.0363130i | ||||
\(946\) | 8.74904e8 | − | 5.62266e8i | 1.03344 | − | 0.664154i | ||||
\(947\) | −1.73159e8 | − | 1.20434e9i | −0.203889 | − | 1.41808i | −0.792603 | − | 0.609739i | \(-0.791274\pi\) |
0.588713 | − | 0.808342i | \(-0.299635\pi\) | |||||||
\(948\) | 3.68159e8 | − | 1.68133e8i | 0.432126 | − | 0.197345i | ||||
\(949\) | 1.88114e8 | − | 1.30836e9i | 0.220101 | − | 1.53083i | ||||
\(950\) | −4.80359e7 | − | 1.63595e8i | −0.0560267 | − | 0.190810i | ||||
\(951\) | −4.17886e8 | − | 2.68559e8i | −0.485866 | − | 0.312247i | ||||
\(952\) | 3.49003e7 | − | 7.64209e7i | 0.0404499 | − | 0.0885730i | ||||
\(953\) | −1.33447e8 | + | 4.54477e8i | −0.154180 | + | 0.525089i | −0.999964 | − | 0.00843563i | \(-0.997315\pi\) |
0.845784 | + | 0.533525i | \(0.179133\pi\) | |||||||
\(954\) | 4.41759e8 | − | 3.82786e8i | 0.508792 | − | 0.440870i | ||||
\(955\) | 1.72487e7 | + | 1.99061e7i | 0.0198037 | + | 0.0228547i | ||||
\(956\) | −6.52487e7 | − | 1.91588e7i | −0.0746790 | − | 0.0219277i | ||||
\(957\) | 9.97472e8 | + | 4.55530e8i | 1.13806 | + | 0.519734i | ||||
\(958\) | 5.13716e8 | − | 7.99358e8i | 0.584288 | − | 0.909169i | ||||
\(959\) | 5.41802e8 | − | 1.59087e8i | 0.614306 | − | 0.180376i | ||||
\(960\) | 7.02181e7 | + | 1.00958e7i | 0.0793662 | + | 0.0114111i | ||||
\(961\) | −1.16031e8 | − | 2.54073e8i | −0.130739 | − | 0.286278i | ||||
\(962\) | −2.39799e8 | + | 3.44779e7i | −0.269353 | + | 0.0387271i | ||||
\(963\) | −1.23114e8 | − | 1.91569e8i | −0.137857 | − | 0.214509i | ||||
\(964\) | −3.03105e8 | − | 2.62642e8i | −0.338347 | − | 0.293179i | ||||
\(965\) | − | 9.96654e8i | − | 1.10908i | ||||||
\(966\) | −4.79131e7 | + | 2.18746e8i | −0.0531524 | + | 0.242666i | ||||
\(967\) | 6.25260e8 | 0.691483 | 0.345741 | − | 0.938330i | \(-0.387627\pi\) | ||||
0.345741 | + | 0.938330i | \(0.387627\pi\) | |||||||
\(968\) | 2.87868e8 | − | 3.32218e8i | 0.317372 | − | 0.366266i | ||||
\(969\) | −6.09417e7 | + | 3.91648e7i | −0.0669797 | + | 0.0430452i | ||||
\(970\) | −3.12789e7 | − | 2.17550e8i | −0.0342718 | − | 0.238365i | ||||
\(971\) | −4.54993e8 | + | 2.07789e8i | −0.496990 | + | 0.226968i | −0.648109 | − | 0.761548i | \(-0.724440\pi\) |
0.151119 | + | 0.988516i | \(0.451712\pi\) | |||||||
\(972\) | −3.91943e6 | + | 2.72602e7i | −0.00426799 | + | 0.0296846i | ||||
\(973\) | 3.54680e6 | + | 1.20793e7i | 0.00385033 | + | 0.0131130i | ||||
\(974\) | 3.20120e8 | + | 2.05729e8i | 0.346446 | + | 0.222647i | ||||
\(975\) | 1.36147e8 | − | 2.98120e8i | 0.146891 | − | 0.321646i | ||||
\(976\) | 2.16940e7 | − | 7.38831e7i | 0.0233341 | − | 0.0794686i | ||||
\(977\) | 7.12372e8 | − | 6.17274e8i | 0.763876 | − | 0.661903i | −0.183140 | − | 0.983087i | \(-0.558626\pi\) |
0.947017 | + | 0.321184i | \(0.104081\pi\) | |||||||
\(978\) | −4.75825e8 | − | 5.49132e8i | −0.508664 | − | 0.587030i | ||||
\(979\) | −9.43314e8 | − | 2.76982e8i | −1.00533 | − | 0.295191i | ||||
\(980\) | −2.45846e8 | − | 1.12274e8i | −0.261207 | − | 0.119289i | ||||
\(981\) | −7.74670e7 | + | 1.20541e8i | −0.0820559 | + | 0.127681i | ||||
\(982\) | −4.61794e8 | + | 1.35595e8i | −0.487657 | + | 0.143189i | ||||
\(983\) | −1.57124e9 | − | 2.25910e8i | −1.65417 | − | 0.237834i | −0.748905 | − | 0.662677i | \(-0.769420\pi\) |
−0.905267 | + | 0.424843i | \(0.860329\pi\) | |||||||
\(984\) | −3.68279e7 | − | 8.06418e7i | −0.0386537 | − | 0.0846399i | ||||
\(985\) | −4.92553e8 | + | 7.08185e7i | −0.515400 | + | 0.0741034i | ||||
\(986\) | 4.36894e8 | + | 6.79820e8i | 0.455770 | + | 0.709191i | ||||
\(987\) | 3.88325e7 | + | 3.36486e7i | 0.0403872 | + | 0.0349958i | ||||
\(988\) | − | 1.77120e8i | − | 0.183653i | ||||||
\(989\) | 7.24563e8 | − | 1.56534e8i | 0.749009 | − | 0.161815i | ||||
\(990\) | −3.64469e8 | −0.375626 | ||||||||
\(991\) | −1.03394e9 | + | 1.19323e9i | −1.06237 | + | 1.22604i | −0.0891809 | + | 0.996015i | \(0.528425\pi\) |
−0.973186 | + | 0.230021i | \(0.926121\pi\) | |||||||
\(992\) | −5.90016e8 | + | 3.79180e8i | −0.604406 | + | 0.388428i | ||||
\(993\) | −8.68328e7 | − | 6.03936e8i | −0.0886822 | − | 0.616798i | ||||
\(994\) | 6.31553e7 | − | 2.88421e7i | 0.0643059 | − | 0.0293675i | ||||
\(995\) | 5.59648e7 | − | 3.89244e8i | 0.0568127 | − | 0.395141i | ||||
\(996\) | 9.54097e7 | + | 3.24936e8i | 0.0965638 | + | 0.328866i | ||||
\(997\) | 9.31942e8 | + | 5.98923e8i | 0.940380 | + | 0.604345i | 0.918502 | − | 0.395415i | \(-0.129399\pi\) |
0.0218772 | + | 0.999761i | \(0.493036\pi\) | |||||||
\(998\) | 7.15100e8 | − | 1.56585e9i | 0.719408 | − | 1.57528i | ||||
\(999\) | 1.00304e7 | − | 3.41603e7i | 0.0100605 | − | 0.0342630i |
(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.7.20 | ✓ | 240 | |
23.10 | odd | 22 | inner | 69.7.f.a.10.20 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.7.f.a.7.20 | ✓ | 240 | 1.1 | even | 1 | trivial | |
69.7.f.a.10.20 | yes | 240 | 23.10 | odd | 22 | inner |