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 | 19.17 | ||
Character | \(\chi\) | \(=\) | 43.19 |
Dual form | 43.7.h.a.34.17 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{19}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 7.29137 | + | 5.81467i | 0.911421 | + | 0.726834i | 0.962334 | − | 0.271869i | \(-0.0876417\pi\) |
−0.0509131 | + | 0.998703i | \(0.516213\pi\) | |||||||
\(3\) | −0.941423 | − | 6.24594i | −0.0348675 | − | 0.231331i | 0.964609 | − | 0.263685i | \(-0.0849378\pi\) |
−0.999476 | + | 0.0323536i | \(0.989700\pi\) | |||||||
\(4\) | 5.11231 | + | 22.3985i | 0.0798798 | + | 0.349976i | ||||
\(5\) | −69.5150 | − | 101.960i | −0.556120 | − | 0.815678i | 0.440507 | − | 0.897749i | \(-0.354799\pi\) |
−0.996626 | + | 0.0820715i | \(0.973846\pi\) | |||||||
\(6\) | 29.4538 | − | 51.0155i | 0.136360 | − | 0.236183i | ||||
\(7\) | 217.445 | − | 125.542i | 0.633952 | − | 0.366012i | −0.148329 | − | 0.988938i | \(-0.547389\pi\) |
0.782281 | + | 0.622926i | \(0.214056\pi\) | |||||||
\(8\) | 166.006 | − | 344.715i | 0.324230 | − | 0.673271i | ||||
\(9\) | 658.487 | − | 203.116i | 0.903275 | − | 0.278623i | ||||
\(10\) | 86.0032 | − | 1147.63i | 0.0860032 | − | 1.14763i | ||||
\(11\) | −25.7972 | + | 113.025i | −0.0193819 | + | 0.0849174i | −0.983694 | − | 0.179851i | \(-0.942438\pi\) |
0.964312 | + | 0.264769i | \(0.0852956\pi\) | |||||||
\(12\) | 135.087 | − | 53.0176i | 0.0781751 | − | 0.0306815i | ||||
\(13\) | −12.5106 | − | 166.942i | −0.00569439 | − | 0.0759864i | 0.993633 | − | 0.112669i | \(-0.0359400\pi\) |
−0.999327 | + | 0.0366826i | \(0.988321\pi\) | |||||||
\(14\) | 2315.46 | + | 349.000i | 0.843827 | + | 0.127187i | ||||
\(15\) | −571.391 | + | 530.173i | −0.169301 | + | 0.157088i | ||||
\(16\) | 4539.57 | − | 2186.14i | 1.10829 | − | 0.533726i | ||||
\(17\) | −5416.15 | − | 3692.67i | −1.10241 | − | 0.751612i | −0.131564 | − | 0.991308i | \(-0.542000\pi\) |
−0.970848 | + | 0.239696i | \(0.922952\pi\) | |||||||
\(18\) | 5982.33 | + | 2347.89i | 1.02578 | + | 0.402588i | ||||
\(19\) | −760.111 | + | 2464.22i | −0.110820 | + | 0.359268i | −0.993946 | − | 0.109866i | \(-0.964958\pi\) |
0.883127 | + | 0.469134i | \(0.155434\pi\) | |||||||
\(20\) | 1928.36 | − | 2078.28i | 0.241045 | − | 0.259785i | ||||
\(21\) | −988.837 | − | 1239.96i | −0.106774 | − | 0.133891i | ||||
\(22\) | −845.301 | + | 674.105i | −0.0793859 | + | 0.0633082i | ||||
\(23\) | 12161.5 | + | 11284.2i | 0.999548 | + | 0.927445i | 0.997365 | − | 0.0725524i | \(-0.0231145\pi\) |
0.00218357 | + | 0.999998i | \(0.499305\pi\) | |||||||
\(24\) | −2309.35 | − | 712.339i | −0.167053 | − | 0.0515292i | ||||
\(25\) | 144.998 | − | 369.448i | 0.00927985 | − | 0.0236447i | ||||
\(26\) | 879.494 | − | 1289.98i | 0.0500395 | − | 0.0733945i | ||||
\(27\) | −3886.48 | − | 8070.36i | −0.197454 | − | 0.410017i | ||||
\(28\) | 3923.60 | + | 4228.64i | 0.178736 | + | 0.192631i | ||||
\(29\) | −2233.98 | + | 14821.5i | −0.0915977 | + | 0.607711i | 0.895189 | + | 0.445687i | \(0.147040\pi\) |
−0.986787 | + | 0.162024i | \(0.948198\pi\) | |||||||
\(30\) | −7249.01 | + | 543.238i | −0.268482 | + | 0.0201199i | ||||
\(31\) | −12012.1 | − | 30606.3i | −0.403212 | − | 1.02737i | −0.977915 | − | 0.209005i | \(-0.932978\pi\) |
0.574703 | − | 0.818362i | \(-0.305118\pi\) | |||||||
\(32\) | 21938.6 | + | 5007.35i | 0.669513 | + | 0.152812i | ||||
\(33\) | 730.234 | + | 54.7235i | 0.0203198 | + | 0.00152276i | ||||
\(34\) | −18019.5 | − | 58417.8i | −0.458465 | − | 1.48631i | ||||
\(35\) | −27916.0 | − | 13443.6i | −0.651101 | − | 0.313554i | ||||
\(36\) | 7915.89 | + | 13710.7i | 0.169665 | + | 0.293868i | ||||
\(37\) | 22040.2 | + | 12724.9i | 0.435122 | + | 0.251218i | 0.701526 | − | 0.712643i | \(-0.252502\pi\) |
−0.266404 | + | 0.963861i | \(0.585836\pi\) | |||||||
\(38\) | −19870.9 | + | 13547.7i | −0.362132 | + | 0.246897i | ||||
\(39\) | −1030.93 | + | 235.303i | −0.0173795 | + | 0.00396675i | ||||
\(40\) | −46686.9 | + | 7036.92i | −0.729483 | + | 0.109952i | ||||
\(41\) | −24928.8 | + | 31259.7i | −0.361701 | + | 0.453559i | −0.929069 | − | 0.369905i | \(-0.879390\pi\) |
0.567369 | + | 0.823464i | \(0.307962\pi\) | |||||||
\(42\) | − | 14790.8i | − | 0.199638i | ||||||
\(43\) | −17546.4 | + | 77546.7i | −0.220690 | + | 0.975344i | ||||
\(44\) | −2663.47 | −0.0312673 | ||||||||
\(45\) | −66484.4 | − | 53019.5i | −0.729596 | − | 0.581833i | ||||
\(46\) | 23059.9 | + | 152993.i | 0.236911 | + | 1.57180i | ||||
\(47\) | 37323.8 | + | 163526.i | 0.359494 | + | 1.57505i | 0.754456 | + | 0.656350i | \(0.227901\pi\) |
−0.394962 | + | 0.918698i | \(0.629242\pi\) | |||||||
\(48\) | −17928.2 | − | 26295.8i | −0.162111 | − | 0.237773i | ||||
\(49\) | −27302.8 | + | 47289.8i | −0.232070 | + | 0.401957i | ||||
\(50\) | 3205.45 | − | 1850.67i | 0.0256436 | − | 0.0148054i | ||||
\(51\) | −17965.3 | + | 37305.3i | −0.135433 | + | 0.281229i | ||||
\(52\) | 3675.29 | − | 1133.68i | 0.0261386 | − | 0.00806268i | ||||
\(53\) | 16034.0 | − | 213959.i | 0.107700 | − | 1.43715i | −0.637571 | − | 0.770391i | \(-0.720061\pi\) |
0.745271 | − | 0.666761i | \(-0.232320\pi\) | |||||||
\(54\) | 18588.7 | − | 81442.6i | 0.118051 | − | 0.517214i | ||||
\(55\) | 13317.3 | − | 5226.66i | 0.0800439 | − | 0.0314149i | ||||
\(56\) | −7179.02 | − | 95797.4i | −0.0408791 | − | 0.545493i | ||||
\(57\) | 16106.9 | + | 2427.73i | 0.0869739 | + | 0.0131092i | ||||
\(58\) | −102471. | + | 95078.9i | −0.525189 | + | 0.487304i | ||||
\(59\) | −20404.6 | + | 9826.32i | −0.0993508 | + | 0.0478448i | −0.482899 | − | 0.875676i | \(-0.660416\pi\) |
0.383548 | + | 0.923521i | \(0.374702\pi\) | |||||||
\(60\) | −14796.2 | − | 10087.9i | −0.0685009 | − | 0.0467031i | ||||
\(61\) | 313567. | + | 123066.i | 1.38147 | + | 0.542187i | 0.935648 | − | 0.352935i | \(-0.114816\pi\) |
0.445821 | + | 0.895122i | \(0.352912\pi\) | |||||||
\(62\) | 90381.0 | − | 293008.i | 0.379230 | − | 1.22943i | ||||
\(63\) | 117685. | − | 126835.i | 0.470653 | − | 0.507243i | ||||
\(64\) | −70208.1 | − | 88038.2i | −0.267823 | − | 0.335839i | ||||
\(65\) | −16151.7 | + | 12880.5i | −0.0588136 | + | 0.0469023i | ||||
\(66\) | 5006.21 | + | 4645.08i | 0.0174131 | + | 0.0161570i | ||||
\(67\) | 306550. | + | 94558.3i | 1.01924 | + | 0.314395i | 0.758960 | − | 0.651138i | \(-0.225708\pi\) |
0.260283 | + | 0.965532i | \(0.416184\pi\) | |||||||
\(68\) | 55021.1 | − | 140192.i | 0.174986 | − | 0.445857i | ||||
\(69\) | 59031.4 | − | 86583.2i | 0.179695 | − | 0.263564i | ||||
\(70\) | −125375. | − | 260345.i | −0.365526 | − | 0.759022i | ||||
\(71\) | 54311.6 | + | 58534.0i | 0.151746 | + | 0.163543i | 0.804350 | − | 0.594156i | \(-0.202514\pi\) |
−0.652604 | + | 0.757699i | \(0.726323\pi\) | |||||||
\(72\) | 39295.5 | − | 260709.i | 0.105280 | − | 0.698486i | ||||
\(73\) | 260902. | − | 19551.9i | 0.670671 | − | 0.0502598i | 0.264957 | − | 0.964260i | \(-0.414642\pi\) |
0.405714 | + | 0.914000i | \(0.367023\pi\) | |||||||
\(74\) | 86712.2 | + | 220939.i | 0.213986 | + | 0.545227i | ||||
\(75\) | −2444.05 | − | 557.839i | −0.00579331 | − | 0.00132229i | ||||
\(76\) | −59080.7 | − | 4427.49i | −0.134588 | − | 0.0100859i | ||||
\(77\) | 8579.93 | + | 27815.4i | 0.0187937 | + | 0.0609276i | ||||
\(78\) | −8885.12 | − | 4278.85i | −0.0187232 | − | 0.00901660i | ||||
\(79\) | 184095. | + | 318862.i | 0.373388 | + | 0.646727i | 0.990084 | − | 0.140474i | \(-0.0448626\pi\) |
−0.616696 | + | 0.787201i | \(0.711529\pi\) | |||||||
\(80\) | −538466. | − | 310884.i | −1.05169 | − | 0.607195i | ||||
\(81\) | 368317. | − | 251115.i | 0.693054 | − | 0.472516i | ||||
\(82\) | −363530. | + | 82973.3i | −0.659324 | + | 0.150486i | ||||
\(83\) | 49411.7 | − | 7447.62i | 0.0864163 | − | 0.0130252i | −0.105692 | − | 0.994399i | \(-0.533706\pi\) |
0.192108 | + | 0.981374i | \(0.438468\pi\) | |||||||
\(84\) | 22718.0 | − | 28487.5i | 0.0383295 | − | 0.0480636i | ||||
\(85\) | 808925.i | 1.31720i | ||||||||
\(86\) | −578846. | + | 463395.i | −0.910055 | + | 0.728544i | ||||
\(87\) | 94677.0 | 0.143776 | ||||||||
\(88\) | 34678.9 | + | 27655.5i | 0.0508882 | + | 0.0405820i | ||||
\(89\) | −25657.2 | − | 170225.i | −0.0363948 | − | 0.241464i | 0.963235 | − | 0.268659i | \(-0.0865805\pi\) |
−0.999630 | + | 0.0271953i | \(0.991342\pi\) | |||||||
\(90\) | −176471. | − | 773170.i | −0.242073 | − | 1.06059i | ||||
\(91\) | −23678.6 | − | 34730.2i | −0.0314219 | − | 0.0460875i | ||||
\(92\) | −190576. | + | 330088.i | −0.244740 | + | 0.423902i | ||||
\(93\) | −179856. | + | 103840.i | −0.223603 | + | 0.129097i | ||||
\(94\) | −678710. | + | 1.40936e6i | −0.817148 | + | 1.69682i | ||||
\(95\) | 304090. | − | 93799.4i | 0.354676 | − | 0.109403i | ||||
\(96\) | 10622.0 | − | 141741.i | 0.0120059 | − | 0.160207i | ||||
\(97\) | −276235. | + | 1.21027e6i | −0.302666 | + | 1.32607i | 0.563419 | + | 0.826171i | \(0.309486\pi\) |
−0.866085 | + | 0.499896i | \(0.833371\pi\) | |||||||
\(98\) | −474050. | + | 186051.i | −0.503670 | + | 0.197676i | ||||
\(99\) | 5970.10 | + | 79665.4i | 0.00615284 | + | 0.0821040i | ||||
\(100\) | 9016.35 | + | 1359.00i | 0.00901635 | + | 0.00135900i | ||||
\(101\) | −394739. | + | 366264.i | −0.383129 | + | 0.355492i | −0.848102 | − | 0.529833i | \(-0.822255\pi\) |
0.464973 | + | 0.885325i | \(0.346064\pi\) | |||||||
\(102\) | −347910. | + | 167544.i | −0.327843 | + | 0.157881i | ||||
\(103\) | −161692. | − | 110239.i | −0.147971 | − | 0.100885i | 0.487072 | − | 0.873362i | \(-0.338065\pi\) |
−0.635042 | + | 0.772477i | \(0.719017\pi\) | |||||||
\(104\) | −59624.2 | − | 23400.8i | −0.0530057 | − | 0.0208032i | ||||
\(105\) | −57687.3 | + | 187017.i | −0.0498324 | + | 0.161553i | ||||
\(106\) | 1.36101e6 | − | 1.46682e6i | 1.14273 | − | 1.23157i | ||||
\(107\) | −158275. | − | 198471.i | −0.129200 | − | 0.162011i | 0.713024 | − | 0.701140i | \(-0.247325\pi\) |
−0.842224 | + | 0.539129i | \(0.818754\pi\) | |||||||
\(108\) | 160895. | − | 128309.i | 0.127724 | − | 0.101856i | ||||
\(109\) | −880905. | − | 817360.i | −0.680220 | − | 0.631152i | 0.262424 | − | 0.964953i | \(-0.415478\pi\) |
−0.942644 | + | 0.333801i | \(0.891669\pi\) | |||||||
\(110\) | 127493. | + | 39326.3i | 0.0957872 | + | 0.0295464i | ||||
\(111\) | 58730.0 | − | 149642.i | 0.0429428 | − | 0.109417i | ||||
\(112\) | 712656. | − | 1.04527e6i | 0.507254 | − | 0.744005i | ||||
\(113\) | 34357.3 | + | 71343.6i | 0.0238113 | + | 0.0494447i | 0.912535 | − | 0.408998i | \(-0.134122\pi\) |
−0.888724 | + | 0.458443i | \(0.848407\pi\) | |||||||
\(114\) | 103325. | + | 111358.i | 0.0697416 | + | 0.0751636i | ||||
\(115\) | 305130. | − | 2.02441e6i | 0.200628 | − | 1.33108i | ||||
\(116\) | −343399. | + | 25734.2i | −0.220001 | + | 0.0164868i | ||||
\(117\) | −42146.7 | − | 107388.i | −0.0263152 | − | 0.0670500i | ||||
\(118\) | −205914. | − | 46998.5i | −0.125326 | − | 0.0286048i | ||||
\(119\) | −1.64130e6 | − | 122999.i | −0.973975 | − | 0.0729894i | ||||
\(120\) | 87904.3 | + | 284979.i | 0.0508705 | + | 0.164918i | ||||
\(121\) | 1.58401e6 | + | 762820.i | 0.894134 | + | 0.430592i | ||||
\(122\) | 1.57075e6 | + | 2.72061e6i | 0.865020 | + | 1.49826i | ||||
\(123\) | 218715. | + | 126275.i | 0.117534 | + | 0.0678582i | ||||
\(124\) | 624125. | − | 425521.i | 0.327346 | − | 0.223180i | ||||
\(125\) | −1.92757e6 | + | 439954.i | −0.986914 | + | 0.225257i | ||||
\(126\) | 1.59559e6 | − | 240496.i | 0.797645 | − | 0.120226i | ||||
\(127\) | 864416. | − | 1.08394e6i | 0.421999 | − | 0.529170i | −0.524701 | − | 0.851287i | \(-0.675823\pi\) |
0.946700 | + | 0.322116i | \(0.104394\pi\) | |||||||
\(128\) | − | 2.49034e6i | − | 1.18748i | ||||||
\(129\) | 500870. | + | 36589.4i | 0.233322 | + | 0.0170446i | ||||
\(130\) | −192664. | −0.0876942 | ||||||||
\(131\) | −762399. | − | 607993.i | −0.339132 | − | 0.270449i | 0.439083 | − | 0.898446i | \(-0.355303\pi\) |
−0.778215 | + | 0.627998i | \(0.783875\pi\) | |||||||
\(132\) | 2507.46 | + | 16635.9i | 0.00109021 | + | 0.00723310i | ||||
\(133\) | 144081. | + | 631260.i | 0.0612423 | + | 0.268320i | ||||
\(134\) | 1.68535e6 | + | 2.47195e6i | 0.700447 | + | 1.02737i | ||||
\(135\) | −552683. | + | 957275.i | −0.224634 | + | 0.389077i | ||||
\(136\) | −2.17203e6 | + | 1.25402e6i | −0.863473 | + | 0.498527i | ||||
\(137\) | −303464. | + | 630150.i | −0.118017 | + | 0.245065i | −0.951606 | − | 0.307320i | \(-0.900568\pi\) |
0.833589 | + | 0.552385i | \(0.186282\pi\) | |||||||
\(138\) | 933873. | − | 288062.i | 0.355345 | − | 0.109610i | ||||
\(139\) | 236359. | − | 3.15400e6i | 0.0880093 | − | 1.17440i | −0.761979 | − | 0.647601i | \(-0.775772\pi\) |
0.849989 | − | 0.526801i | \(-0.176609\pi\) | |||||||
\(140\) | 158402. | − | 694003.i | 0.0577266 | − | 0.252917i | ||||
\(141\) | 986237. | − | 387069.i | 0.351823 | − | 0.138080i | ||||
\(142\) | 55650.0 | + | 742597.i | 0.0194357 | + | 0.259351i | ||||
\(143\) | 19191.4 | + | 2892.64i | 0.00656294 | + | 0.000989204i | ||||
\(144\) | 2.54521e6 | − | 2.36161e6i | 0.852384 | − | 0.790897i | ||||
\(145\) | 1.66649e6 | − | 802538.i | 0.546636 | − | 0.263246i | ||||
\(146\) | 2.01602e6 | + | 1.37450e6i | 0.647794 | + | 0.441659i | ||||
\(147\) | 321073. | + | 126012.i | 0.101077 | + | 0.0396697i | ||||
\(148\) | −172343. | + | 558722.i | −0.0531628 | + | 0.172350i | ||||
\(149\) | −1.55362e6 | + | 1.67440e6i | −0.469661 | + | 0.506174i | −0.922807 | − | 0.385262i | \(-0.874111\pi\) |
0.453146 | + | 0.891436i | \(0.350302\pi\) | |||||||
\(150\) | −14576.8 | − | 18278.8i | −0.00431907 | − | 0.00541594i | ||||
\(151\) | −147238. | + | 117418.i | −0.0427650 | + | 0.0341039i | −0.644639 | − | 0.764487i | \(-0.722992\pi\) |
0.601874 | + | 0.798591i | \(0.294421\pi\) | |||||||
\(152\) | 723270. | + | 671096.i | 0.205954 | + | 0.191097i | ||||
\(153\) | −4.31651e6 | − | 1.33147e6i | −1.20520 | − | 0.371754i | ||||
\(154\) | −99178.3 | + | 252702.i | −0.0271553 | + | 0.0691906i | ||||
\(155\) | −2.28559e6 | + | 3.35234e6i | −0.613766 | + | 0.900230i | ||||
\(156\) | −10540.9 | − | 21888.4i | −0.00277653 | − | 0.00576553i | ||||
\(157\) | −1.71619e6 | − | 1.84962e6i | −0.443473 | − | 0.477950i | 0.471268 | − | 0.881990i | \(-0.343796\pi\) |
−0.914742 | + | 0.404039i | \(0.867606\pi\) | |||||||
\(158\) | −511773. | + | 3.39539e6i | −0.129750 | + | 0.860832i | ||||
\(159\) | −1.35147e6 | + | 101279.i | −0.336213 | + | 0.0251957i | ||||
\(160\) | −1.01451e6 | − | 2.58494e6i | −0.247684 | − | 0.631089i | ||||
\(161\) | 4.06111e6 | + | 926922.i | 0.973122 | + | 0.222109i | ||||
\(162\) | 4.14569e6 | + | 310676.i | 0.975105 | + | 0.0730740i | ||||
\(163\) | −2.23016e6 | − | 7.23001e6i | −0.514960 | − | 1.66946i | −0.722609 | − | 0.691257i | \(-0.757057\pi\) |
0.207648 | − | 0.978204i | \(-0.433419\pi\) | |||||||
\(164\) | −827614. | − | 398558.i | −0.187627 | − | 0.0903565i | ||||
\(165\) | −45182.6 | − | 78258.5i | −0.0100582 | − | 0.0174213i | ||||
\(166\) | 403585. | + | 233010.i | 0.0882288 | + | 0.0509389i | ||||
\(167\) | 5.09298e6 | − | 3.47233e6i | 1.09351 | − | 0.745542i | 0.124414 | − | 0.992230i | \(-0.460295\pi\) |
0.969095 | + | 0.246689i | \(0.0793426\pi\) | |||||||
\(168\) | −591586. | + | 135026.i | −0.124764 | + | 0.0284766i | ||||
\(169\) | 4.74518e6 | − | 715221.i | 0.983089 | − | 0.148177i | ||||
\(170\) | −4.70363e6 | + | 5.89817e6i | −0.957386 | + | 1.20052i | ||||
\(171\) | 1.77705e6i | 0.355395i | ||||||||
\(172\) | −1.82663e6 | + | 3429.94i | −0.358976 | + | 0.000674063i | ||||
\(173\) | −8.96224e6 | −1.73092 | −0.865462 | − | 0.500974i | \(-0.832975\pi\) | ||||
−0.865462 | + | 0.500974i | \(0.832975\pi\) | |||||||
\(174\) | 690325. | + | 550516.i | 0.131041 | + | 0.104501i | ||||
\(175\) | −14852.2 | − | 98538.2i | −0.00277126 | − | 0.0183861i | ||||
\(176\) | 129980. | + | 569482.i | 0.0238419 | + | 0.104458i | ||||
\(177\) | 80583.9 | + | 118195.i | 0.0145321 | + | 0.0213147i | ||||
\(178\) | 802724. | − | 1.39036e6i | 0.142333 | − | 0.246528i | ||||
\(179\) | −6.55550e6 | + | 3.78482e6i | −1.14300 | + | 0.659912i | −0.947172 | − | 0.320726i | \(-0.896073\pi\) |
−0.195829 | + | 0.980638i | \(0.562740\pi\) | |||||||
\(180\) | 847668. | − | 1.76020e6i | 0.145348 | − | 0.301818i | ||||
\(181\) | −1.89370e6 | + | 584130.i | −0.319357 | + | 0.0985085i | −0.450289 | − | 0.892883i | \(-0.648679\pi\) |
0.130933 | + | 0.991391i | \(0.458203\pi\) | |||||||
\(182\) | 29295.0 | − | 390914.i | 0.00485936 | − | 0.0648436i | ||||
\(183\) | 473463. | − | 2.07438e6i | 0.0772561 | − | 0.338481i | ||||
\(184\) | 5.90872e6 | − | 2.31900e6i | 0.948505 | − | 0.372261i | ||||
\(185\) | −234695. | − | 3.13179e6i | −0.0370672 | − | 0.494627i | ||||
\(186\) | −1.91520e6 | − | 288669.i | −0.297629 | − | 0.0448603i | ||||
\(187\) | 557086. | − | 516900.i | 0.0851918 | − | 0.0790464i | ||||
\(188\) | −3.47193e6 | + | 1.67199e6i | −0.522513 | + | 0.251629i | ||||
\(189\) | −1.85827e6 | − | 1.26695e6i | −0.275247 | − | 0.187660i | ||||
\(190\) | 2.76265e6 | + | 1.08426e6i | 0.402777 | + | 0.158078i | ||||
\(191\) | 149578. | − | 484921.i | 0.0214669 | − | 0.0695939i | −0.944206 | − | 0.329357i | \(-0.893168\pi\) |
0.965672 | + | 0.259763i | \(0.0836444\pi\) | |||||||
\(192\) | −483786. | + | 521397.i | −0.0683517 | + | 0.0736656i | ||||
\(193\) | 3.64764e6 | + | 4.57400e6i | 0.507388 | + | 0.636245i | 0.967878 | − | 0.251420i | \(-0.0808976\pi\) |
−0.460490 | + | 0.887665i | \(0.652326\pi\) | |||||||
\(194\) | −9.05144e6 | + | 7.21828e6i | −1.23969 | + | 0.988618i | ||||
\(195\) | 95656.7 | + | 88756.4i | 0.0129006 | + | 0.0119701i | ||||
\(196\) | −1.19880e6 | − | 369781.i | −0.159213 | − | 0.0491107i | ||||
\(197\) | −5.09619e6 | + | 1.29849e7i | −0.666572 | + | 1.69840i | 0.0480103 | + | 0.998847i | \(0.484712\pi\) |
−0.714582 | + | 0.699551i | \(0.753383\pi\) | |||||||
\(198\) | −419698. | + | 615584.i | −0.0540682 | + | 0.0793034i | ||||
\(199\) | 372288. | + | 773064.i | 0.0472411 | + | 0.0980972i | 0.923253 | − | 0.384192i | \(-0.125520\pi\) |
−0.876012 | + | 0.482289i | \(0.839806\pi\) | |||||||
\(200\) | −103284. | − | 111313.i | −0.0129105 | − | 0.0139142i | ||||
\(201\) | 302011. | − | 2.00371e6i | 0.0371908 | − | 0.246745i | ||||
\(202\) | −5.00789e6 | + | 375289.i | −0.607576 | + | 0.0455315i | ||||
\(203\) | 1.37495e6 | + | 3.50332e6i | 0.164361 | + | 0.418785i | ||||
\(204\) | −927426. | − | 211679.i | −0.109242 | − | 0.0249337i | ||||
\(205\) | 4.92016e6 | + | 368715.i | 0.571107 | + | 0.0427985i | ||||
\(206\) | −537947. | − | 1.74398e6i | −0.0615372 | − | 0.199499i | ||||
\(207\) | 1.03002e7 | + | 4.96032e6i | 1.16127 | + | 0.559240i | ||||
\(208\) | −421752. | − | 730495.i | −0.0468669 | − | 0.0811759i | ||||
\(209\) | −258910. | − | 149482.i | −0.0283602 | − | 0.0163738i | ||||
\(210\) | −1.50806e6 | + | 1.02818e6i | −0.162840 | + | 0.111023i | ||||
\(211\) | 9.44415e6 | − | 2.15557e6i | 1.00535 | − | 0.229464i | 0.312011 | − | 0.950079i | \(-0.398998\pi\) |
0.693335 | + | 0.720615i | \(0.256140\pi\) | |||||||
\(212\) | 4.87433e6 | − | 734687.i | 0.511572 | − | 0.0771071i | ||||
\(213\) | 314469. | − | 394332.i | 0.0325416 | − | 0.0408059i | ||||
\(214\) | − | 2.36744e6i | − | 0.241567i | ||||||
\(215\) | 9.12637e6 | − | 3.60163e6i | 0.918296 | − | 0.362396i | ||||
\(216\) | −3.42715e6 | −0.340073 | ||||||||
\(217\) | −6.45435e6 | − | 5.14718e6i | −0.631646 | − | 0.503721i | ||||
\(218\) | −1.67032e6 | − | 1.10818e7i | −0.161224 | − | 1.06965i | ||||
\(219\) | −367740. | − | 1.61117e6i | −0.0350113 | − | 0.153395i | ||||
\(220\) | 185151. | + | 271567.i | 0.0173884 | + | 0.0255040i | ||||
\(221\) | −548703. | + | 950381.i | −0.0508347 | + | 0.0880483i | ||||
\(222\) | 1.29834e6 | − | 749596.i | 0.118667 | − | 0.0685123i | ||||
\(223\) | 11035.6 | − | 22915.8i | 0.000995138 | − | 0.00206643i | −0.900471 | − | 0.434917i | \(-0.856778\pi\) |
0.901466 | + | 0.432850i | \(0.142492\pi\) | |||||||
\(224\) | 5.39909e6 | − | 1.66540e6i | 0.480370 | − | 0.148175i | ||||
\(225\) | 20438.2 | − | 272728.i | 0.00179430 | − | 0.0239432i | ||||
\(226\) | −164328. | + | 719969.i | −0.0142360 | + | 0.0623718i | ||||
\(227\) | 6.08487e6 | − | 2.38814e6i | 0.520204 | − | 0.204165i | −0.0906874 | − | 0.995879i | \(-0.528906\pi\) |
0.610891 | + | 0.791714i | \(0.290811\pi\) | |||||||
\(228\) | 27966.2 | + | 373182.i | 0.00235955 | + | 0.0314859i | ||||
\(229\) | −1.48305e6 | − | 223535.i | −0.123495 | − | 0.0186139i | 0.0870037 | − | 0.996208i | \(-0.472271\pi\) |
−0.210499 | + | 0.977594i | \(0.567509\pi\) | |||||||
\(230\) | 1.39961e7 | − | 1.29865e7i | 1.15033 | − | 1.06735i | ||||
\(231\) | 165656. | − | 79775.8i | 0.0134391 | − | 0.00647195i | ||||
\(232\) | 4.73832e6 | + | 3.23053e6i | 0.379455 | + | 0.258708i | ||||
\(233\) | −1.26857e7 | − | 4.97876e6i | −1.00287 | − | 0.393598i | −0.193631 | − | 0.981074i | \(-0.562026\pi\) |
−0.809242 | + | 0.587476i | \(0.800122\pi\) | |||||||
\(234\) | 317119. | − | 1.02808e6i | 0.0247500 | − | 0.0802375i | ||||
\(235\) | 1.40785e7 | − | 1.51730e7i | 1.08481 | − | 1.16915i | ||||
\(236\) | −324409. | − | 406796.i | −0.0246807 | − | 0.0309486i | ||||
\(237\) | 1.81828e6 | − | 1.45003e6i | 0.136589 | − | 0.108926i | ||||
\(238\) | −1.12522e7 | − | 1.04405e7i | −0.834651 | − | 0.774443i | ||||
\(239\) | 8.39387e6 | + | 2.58917e6i | 0.614849 | + | 0.189656i | 0.586509 | − | 0.809943i | \(-0.300502\pi\) |
0.0283398 | + | 0.999598i | \(0.490978\pi\) | |||||||
\(240\) | −1.43483e6 | + | 3.65590e6i | −0.103793 | + | 0.264460i | ||||
\(241\) | 2.47075e6 | − | 3.62393e6i | 0.176514 | − | 0.258898i | −0.727778 | − | 0.685812i | \(-0.759447\pi\) |
0.904292 | + | 0.426914i | \(0.140399\pi\) | |||||||
\(242\) | 7.11407e6 | + | 1.47725e7i | 0.501963 | + | 1.04234i | ||||
\(243\) | −6.35669e6 | − | 6.85088e6i | −0.443009 | − | 0.477450i | ||||
\(244\) | −1.15344e6 | + | 7.65258e6i | −0.0794010 | + | 0.526791i | ||||
\(245\) | 6.71961e6 | − | 503565.i | 0.456926 | − | 0.0342419i | ||||
\(246\) | 860482. | + | 2.19247e6i | 0.0578011 | + | 0.147275i | ||||
\(247\) | 420891. | + | 96065.7i | 0.0279305 | + | 0.00637496i | ||||
\(248\) | −1.25445e7 | − | 940081.i | −0.822429 | − | 0.0616326i | ||||
\(249\) | −93034.7 | − | 301611.i | −0.00602625 | − | 0.0195366i | ||||
\(250\) | −1.66128e7 | − | 8.00029e6i | −1.06322 | − | 0.512019i | ||||
\(251\) | 1.03492e6 | + | 1.79253e6i | 0.0654463 | + | 0.113356i | 0.896892 | − | 0.442250i | \(-0.145820\pi\) |
−0.831446 | + | 0.555606i | \(0.812486\pi\) | |||||||
\(252\) | 3.44255e6 | + | 1.98756e6i | 0.215119 | + | 0.124199i | ||||
\(253\) | −1.58913e6 | + | 1.08345e6i | −0.0981294 | + | 0.0669035i | ||||
\(254\) | 1.26056e7 | − | 2.87714e6i | 0.769238 | − | 0.175574i | ||||
\(255\) | 5.05249e6 | − | 761541.i | 0.304709 | − | 0.0459275i | ||||
\(256\) | 9.98717e6 | − | 1.25235e7i | 0.595282 | − | 0.746460i | ||||
\(257\) | 2.91706e7i | 1.71849i | 0.511566 | + | 0.859244i | \(0.329066\pi\) | ||||
−0.511566 | + | 0.859244i | \(0.670934\pi\) | |||||||
\(258\) | 3.43927e6 | + | 3.17918e6i | 0.200266 | + | 0.185121i | ||||
\(259\) | 6.39007e6 | 0.367795 | ||||||||
\(260\) | −371077. | − | 295924.i | −0.0211127 | − | 0.0168368i | ||||
\(261\) | 1.53944e6 | + | 1.02135e7i | 0.0865846 | + | 0.574451i | ||||
\(262\) | −2.02365e6 | − | 8.86621e6i | −0.112521 | − | 0.492985i | ||||
\(263\) | −1.90672e7 | − | 2.79665e7i | −1.04814 | − | 1.53734i | −0.827080 | − | 0.562084i | \(-0.810000\pi\) |
−0.221063 | − | 0.975260i | \(-0.570953\pi\) | |||||||
\(264\) | 140087. | − | 242638.i | 0.00761353 | − | 0.0131870i | ||||
\(265\) | −2.29298e7 | + | 1.32385e7i | −1.23215 | + | 0.711381i | ||||
\(266\) | −2.62002e6 | + | 5.44053e6i | −0.139207 | + | 0.289066i | ||||
\(267\) | −1.03906e6 | + | 320507.i | −0.0545891 | + | 0.0168385i | ||||
\(268\) | −550782. | + | 7.34968e6i | −0.0286138 | + | 0.381824i | ||||
\(269\) | −7.21737e6 | + | 3.16214e7i | −0.370785 | + | 1.62452i | 0.353793 | + | 0.935324i | \(0.384892\pi\) |
−0.724579 | + | 0.689192i | \(0.757966\pi\) | |||||||
\(270\) | −9.59606e6 | + | 3.76618e6i | −0.487530 | + | 0.191342i | ||||
\(271\) | 1.62969e6 | + | 2.17467e7i | 0.0818836 | + | 1.09266i | 0.875171 | + | 0.483813i | \(0.160749\pi\) |
−0.793288 | + | 0.608847i | \(0.791632\pi\) | |||||||
\(272\) | −3.26597e7 | − | 4.92265e6i | −1.62295 | − | 0.244620i | ||||
\(273\) | −194631. | + | 180591.i | −0.00956586 | + | 0.00887582i | ||||
\(274\) | −5.87678e6 | + | 2.83011e6i | −0.285685 | + | 0.137579i | ||||
\(275\) | 38016.4 | + | 25919.1i | 0.00182799 | + | 0.00124630i | ||||
\(276\) | 2.24112e6 | + | 879574.i | 0.106595 | + | 0.0418355i | ||||
\(277\) | −6.47077e6 | + | 2.09777e7i | −0.304450 | + | 0.987004i | 0.666051 | + | 0.745907i | \(0.267983\pi\) |
−0.970501 | + | 0.241097i | \(0.922493\pi\) | |||||||
\(278\) | 2.00629e7 | − | 2.16226e7i | 0.933810 | − | 1.00641i | ||||
\(279\) | −1.41264e7 | − | 1.77140e7i | −0.650459 | − | 0.815650i | ||||
\(280\) | −9.26842e6 | + | 7.39132e6i | −0.422213 | + | 0.336704i | ||||
\(281\) | −173848. | − | 161308.i | −0.00783522 | − | 0.00727002i | 0.676245 | − | 0.736676i | \(-0.263606\pi\) |
−0.684081 | + | 0.729406i | \(0.739796\pi\) | |||||||
\(282\) | 9.44170e6 | + | 2.91238e6i | 0.421020 | + | 0.129867i | ||||
\(283\) | −8.40900e6 | + | 2.14258e7i | −0.371010 | + | 0.945317i | 0.616443 | + | 0.787400i | \(0.288573\pi\) |
−0.987452 | + | 0.157917i | \(0.949522\pi\) | |||||||
\(284\) | −1.03341e6 | + | 1.51574e6i | −0.0451149 | + | 0.0661713i | ||||
\(285\) | −872143. | − | 1.81102e6i | −0.0376750 | − | 0.0782329i | ||||
\(286\) | 123112. | + | 132683.i | 0.00526261 | + | 0.00567175i | ||||
\(287\) | −1.49624e6 | + | 9.92690e6i | −0.0632929 | + | 0.419921i | ||||
\(288\) | 1.54634e7 | − | 1.15882e6i | 0.647331 | − | 0.0485108i | ||||
\(289\) | 6.88044e6 | + | 1.75311e7i | 0.285051 | + | 0.726298i | ||||
\(290\) | 1.68175e7 | + | 3.83848e6i | 0.689551 | + | 0.157386i | ||||
\(291\) | 7.81930e6 | + | 585976.i | 0.317314 | + | 0.0237794i | ||||
\(292\) | 1.77175e6 | + | 5.74386e6i | 0.0711628 | + | 0.230704i | ||||
\(293\) | −2.32895e7 | − | 1.12156e7i | −0.925885 | − | 0.445883i | −0.0907166 | − | 0.995877i | \(-0.528916\pi\) |
−0.835169 | + | 0.549994i | \(0.814630\pi\) | |||||||
\(294\) | 1.60834e6 | + | 2.78573e6i | 0.0632903 | + | 0.109622i | ||||
\(295\) | 2.42031e6 | + | 1.39737e6i | 0.0942769 | + | 0.0544308i | ||||
\(296\) | 8.04528e6 | − | 5.48518e6i | 0.310217 | − | 0.211503i | ||||
\(297\) | 1.01241e6 | − | 231077.i | 0.0386446 | − | 0.00882038i | ||||
\(298\) | −2.10641e7 | + | 3.17490e6i | −0.795964 | + | 0.119972i | ||||
\(299\) | 1.73166e6 | − | 2.17144e6i | 0.0647814 | − | 0.0812333i | ||||
\(300\) | − | 57594.9i | − | 0.00213315i | ||||||
\(301\) | 5.92000e6 | + | 1.90650e7i | 0.217081 | + | 0.699096i | ||||
\(302\) | −1.75631e6 | −0.0637648 | ||||||||
\(303\) | 2.65928e6 | + | 2.12070e6i | 0.0955951 | + | 0.0762346i | ||||
\(304\) | 1.93656e6 | + | 1.28482e7i | 0.0689301 | + | 0.457322i | ||||
\(305\) | −9.24983e6 | − | 4.05262e7i | −0.326013 | − | 1.42835i | ||||
\(306\) | −2.37312e7 | − | 3.48073e7i | −0.828239 | − | 1.21480i | ||||
\(307\) | 1.11755e7 | − | 1.93566e7i | 0.386236 | − | 0.668980i | −0.605704 | − | 0.795690i | \(-0.707108\pi\) |
0.991940 | + | 0.126710i | \(0.0404417\pi\) | |||||||
\(308\) | −579160. | + | 334378.i | −0.0198220 | + | 0.0114442i | ||||
\(309\) | −536328. | + | 1.11370e6i | −0.0181784 | + | 0.0377478i | ||||
\(310\) | −3.61579e7 | + | 1.11532e7i | −1.21372 | + | 0.374382i | ||||
\(311\) | 4.36542e6 | − | 5.82525e7i | 0.145126 | − | 1.93657i | −0.165849 | − | 0.986151i | \(-0.553036\pi\) |
0.310975 | − | 0.950418i | \(-0.399345\pi\) | |||||||
\(312\) | −90028.1 | + | 394439.i | −0.00296425 | + | 0.0129872i | ||||
\(313\) | 5.16278e7 | − | 2.02624e7i | 1.68365 | − | 0.660782i | 0.685888 | − | 0.727707i | \(-0.259414\pi\) |
0.997758 | + | 0.0669252i | \(0.0213189\pi\) | |||||||
\(314\) | −1.75848e6 | − | 2.34653e7i | −0.0568002 | − | 0.757946i | ||||
\(315\) | −2.11129e7 | − | 3.18226e6i | −0.675487 | − | 0.101813i | ||||
\(316\) | −6.20087e6 | + | 5.75357e6i | −0.196513 | + | 0.182337i | ||||
\(317\) | 1.74596e7 | − | 8.40809e6i | 0.548095 | − | 0.263949i | −0.139278 | − | 0.990253i | \(-0.544478\pi\) |
0.687373 | + | 0.726305i | \(0.258764\pi\) | |||||||
\(318\) | −1.04430e7 | − | 7.11989e6i | −0.324745 | − | 0.221407i | ||||
\(319\) | −1.61757e6 | − | 634848.i | −0.0498299 | − | 0.0195568i | ||||
\(320\) | −4.09584e6 | + | 1.32784e7i | −0.124995 | + | 0.405224i | ||||
\(321\) | −1.09063e6 | + | 1.17542e6i | −0.0329734 | + | 0.0355368i | ||||
\(322\) | 2.42213e7 | + | 3.03726e7i | 0.725488 | + | 0.909733i | ||||
\(323\) | 1.32164e7 | − | 1.05397e7i | 0.392199 | − | 0.312768i | ||||
\(324\) | 7.50753e6 | + | 6.96597e6i | 0.220730 | + | 0.204808i | ||||
\(325\) | −63490.5 | − | 19584.2i | −0.00184952 | − | 0.000570501i | ||||
\(326\) | 2.57792e7 | − | 6.56844e7i | 0.744075 | − | 1.89587i | ||||
\(327\) | −4.27588e6 | + | 6.27156e6i | −0.122287 | + | 0.179363i | ||||
\(328\) | 6.63735e6 | + | 1.37826e7i | 0.188093 | + | 0.390580i | ||||
\(329\) | 2.86453e7 | + | 3.08723e7i | 0.804389 | + | 0.866925i | ||||
\(330\) | 125605. | − | 833334.i | 0.00349514 | − | 0.0231887i | ||||
\(331\) | 1.97691e7 | − | 1.48149e6i | 0.545134 | − | 0.0408521i | 0.200683 | − | 0.979656i | \(-0.435684\pi\) |
0.344451 | + | 0.938804i | \(0.388065\pi\) | |||||||
\(332\) | 419423. | + | 1.06867e6i | 0.0114614 | + | 0.0292032i | ||||
\(333\) | 1.70979e7 | + | 3.90248e6i | 0.463030 | + | 0.105684i | ||||
\(334\) | 5.73252e7 | + | 4.29593e6i | 1.53853 | + | 0.115297i | ||||
\(335\) | −1.16687e7 | − | 3.78290e7i | −0.310376 | − | 1.00621i | ||||
\(336\) | −7.19962e6 | − | 3.46716e6i | −0.189798 | − | 0.0914020i | ||||
\(337\) | 1.11899e6 | + | 1.93815e6i | 0.0292374 | + | 0.0506406i | 0.880274 | − | 0.474466i | \(-0.157359\pi\) |
−0.851036 | + | 0.525107i | \(0.824025\pi\) | |||||||
\(338\) | 3.87577e7 | + | 2.23768e7i | 1.00371 | + | 0.579491i | ||||
\(339\) | 413263. | − | 281758.i | 0.0106078 | − | 0.00723231i | ||||
\(340\) | −1.81187e7 | + | 4.13547e6i | −0.460988 | + | 0.105218i | ||||
\(341\) | 3.76916e6 | − | 568109.i | 0.0950564 | − | 0.0143274i | ||||
\(342\) | −1.03330e7 | + | 1.29571e7i | −0.258313 | + | 0.323914i | ||||
\(343\) | 4.32505e7i | 1.07179i | ||||||||
\(344\) | 2.38187e7 | + | 1.89217e7i | 0.585116 | + | 0.464820i | ||||
\(345\) | −1.29316e7 | −0.314915 | ||||||||
\(346\) | −6.53470e7 | − | 5.21125e7i | −1.57760 | − | 1.25809i | ||||
\(347\) | 9.45448e6 | + | 6.27264e7i | 0.226282 | + | 1.50128i | 0.756822 | + | 0.653621i | \(0.226751\pi\) |
−0.530540 | + | 0.847660i | \(0.678011\pi\) | |||||||
\(348\) | 484018. | + | 2.12062e6i | 0.0114848 | + | 0.0503182i | ||||
\(349\) | 1.01213e6 | + | 1.48452e6i | 0.0238101 | + | 0.0349229i | 0.837959 | − | 0.545733i | \(-0.183749\pi\) |
−0.814149 | + | 0.580656i | \(0.802796\pi\) | |||||||
\(350\) | 464674. | − | 804839.i | 0.0108379 | − | 0.0187718i | ||||
\(351\) | −1.29866e6 | + | 749782.i | −0.0300313 | + | 0.0173386i | ||||
\(352\) | −1.13191e6 | + | 2.35044e6i | −0.0259528 | + | 0.0538916i | ||||
\(353\) | −5.18665e7 | + | 1.59987e7i | −1.17913 | + | 0.363714i | −0.821533 | − | 0.570161i | \(-0.806881\pi\) |
−0.357600 | + | 0.933875i | \(0.616405\pi\) | |||||||
\(354\) | −99697.6 | + | 1.33037e6i | −0.00224737 | + | 0.0299891i | ||||
\(355\) | 2.19264e6 | − | 9.60658e6i | 0.0490097 | − | 0.214726i | ||||
\(356\) | 3.68160e6 | − | 1.44492e6i | 0.0815994 | − | 0.0320254i | ||||
\(357\) | 776920. | + | 1.03673e7i | 0.0170754 | + | 0.227856i | ||||
\(358\) | −6.98061e7 | − | 1.05216e7i | −1.52140 | − | 0.229315i | ||||
\(359\) | 5.75396e7 | − | 5.33890e7i | 1.24361 | − | 1.15390i | 0.261577 | − | 0.965183i | \(-0.415758\pi\) |
0.982031 | − | 0.188717i | \(-0.0604329\pi\) | |||||||
\(360\) | −2.93134e7 | + | 1.41166e7i | −0.628288 | + | 0.302568i | ||||
\(361\) | 3.33765e7 | + | 2.27557e7i | 0.709446 | + | 0.483692i | ||||
\(362\) | −1.72042e7 | − | 6.75215e6i | −0.362668 | − | 0.142337i | ||||
\(363\) | 3.27330e6 | − | 1.06118e7i | 0.0684330 | − | 0.221854i | ||||
\(364\) | 656851. | − | 707917.i | 0.0136196 | − | 0.0146784i | ||||
\(365\) | −2.01301e7 | − | 2.52424e7i | −0.413969 | − | 0.519101i | ||||
\(366\) | 1.55140e7 | − | 1.23720e7i | 0.316433 | − | 0.252347i | ||||
\(367\) | −2.52232e7 | − | 2.34037e7i | −0.510272 | − | 0.473464i | 0.382510 | − | 0.923951i | \(-0.375060\pi\) |
−0.892783 | + | 0.450488i | \(0.851250\pi\) | |||||||
\(368\) | 7.98769e7 | + | 2.46388e7i | 1.60279 | + | 0.494396i | ||||
\(369\) | −1.00659e7 | + | 2.56476e7i | −0.200343 | + | 0.510466i | ||||
\(370\) | 1.64991e7 | − | 2.41997e7i | 0.325728 | − | 0.477755i | ||||
\(371\) | −2.33744e7 | − | 4.85374e7i | −0.457739 | − | 0.950505i | ||||
\(372\) | −3.24534e6 | − | 3.49765e6i | −0.0630423 | − | 0.0679434i | ||||
\(373\) | −1.44059e7 | + | 9.55768e7i | −0.277596 | + | 1.84173i | 0.221470 | + | 0.975167i | \(0.428915\pi\) |
−0.499066 | + | 0.866564i | \(0.666324\pi\) | |||||||
\(374\) | 7.06753e6 | − | 529638.i | 0.135099 | − | 0.0101243i | ||||
\(375\) | 4.56258e6 | + | 1.16253e7i | 0.0865201 | + | 0.220450i | ||||
\(376\) | 6.25658e7 | + | 1.42802e7i | 1.17699 | + | 0.268641i | ||||
\(377\) | 2.50227e6 | + | 187520.i | 0.0466993 | + | 0.00349963i | ||||
\(378\) | −6.18244e6 | − | 2.00430e7i | −0.114468 | − | 0.371097i | ||||
\(379\) | −4.50981e7 | − | 2.17181e7i | −0.828401 | − | 0.398937i | −0.0288855 | − | 0.999583i | \(-0.509196\pi\) |
−0.799515 | + | 0.600646i | \(0.794910\pi\) | |||||||
\(380\) | 3.65557e6 | + | 6.33163e6i | 0.0666199 | + | 0.115389i | ||||
\(381\) | −7.58403e6 | − | 4.37864e6i | −0.137128 | − | 0.0791707i | ||||
\(382\) | 3.91029e6 | − | 2.66599e6i | 0.0701486 | − | 0.0478265i | ||||
\(383\) | 6.65017e7 | − | 1.51786e7i | 1.18369 | − | 0.270168i | 0.415016 | − | 0.909814i | \(-0.363776\pi\) |
0.768670 | + | 0.639646i | \(0.220919\pi\) | |||||||
\(384\) | −1.55545e7 | + | 2.34446e6i | −0.274702 | + | 0.0414047i | ||||
\(385\) | 2.23962e6 | − | 2.80840e6i | 0.0392457 | − | 0.0492126i | ||||
\(386\) | 5.45606e7i | 0.948674i | ||||||||
\(387\) | 4.19693e6 | + | 5.46274e7i | 0.0724100 | + | 0.942493i | ||||
\(388\) | −2.85203e7 | −0.488269 | ||||||||
\(389\) | −6.27305e7 | − | 5.00259e7i | −1.06569 | − | 0.849858i | −0.0765822 | − | 0.997063i | \(-0.524401\pi\) |
−0.989106 | + | 0.147205i | \(0.952972\pi\) | |||||||
\(390\) | 181379. | + | 1.20337e6i | 0.00305768 | + | 0.0202864i | ||||
\(391\) | −2.41996e7 | − | 1.06025e8i | −0.404835 | − | 1.77370i | ||||
\(392\) | 1.17691e7 | + | 1.72621e7i | 0.195382 | + | 0.286573i | ||||
\(393\) | −3.07975e6 | + | 5.33428e6i | −0.0507385 | + | 0.0878816i | ||||
\(394\) | −1.12661e8 | + | 6.50449e7i | −1.84198 | + | 1.06347i | ||||
\(395\) | 1.97137e7 | − | 4.09359e7i | 0.319873 | − | 0.664222i | ||||
\(396\) | −1.75386e6 | + | 540995.i | −0.0282430 | + | 0.00871180i | ||||
\(397\) | −3.01134e6 | + | 4.01836e7i | −0.0481270 | + | 0.642210i | 0.920027 | + | 0.391855i | \(0.128166\pi\) |
−0.968154 | + | 0.250355i | \(0.919453\pi\) | |||||||
\(398\) | −1.78063e6 | + | 7.80143e6i | −0.0282438 | + | 0.123744i | ||||
\(399\) | 3.80717e6 | − | 1.49420e6i | 0.0599354 | − | 0.0235229i | ||||
\(400\) | −149439. | − | 1.99412e6i | −0.00233498 | − | 0.0311581i | ||||
\(401\) | −4.49460e7 | − | 6.77453e6i | −0.697041 | − | 0.105062i | −0.209043 | − | 0.977907i | \(-0.567035\pi\) |
−0.487998 | + | 0.872845i | \(0.662273\pi\) | |||||||
\(402\) | 1.38530e7 | − | 1.28537e7i | 0.213239 | − | 0.197857i | ||||
\(403\) | −4.95920e6 | + | 2.38822e6i | −0.0757699 | + | 0.0364888i | ||||
\(404\) | −1.02218e7 | − | 6.96909e6i | −0.155018 | − | 0.105690i | ||||
\(405\) | −5.12071e7 | − | 2.00973e7i | −0.770842 | − | 0.302533i | ||||
\(406\) | −1.03454e7 | + | 3.35389e7i | −0.154585 | + | 0.501153i | ||||
\(407\) | −2.00682e6 | + | 2.16283e6i | −0.0297663 | + | 0.0320804i | ||||
\(408\) | 9.87734e6 | + | 1.23858e7i | 0.145432 | + | 0.182366i | ||||
\(409\) | 5.37279e7 | − | 4.28466e7i | 0.785290 | − | 0.626247i | −0.146515 | − | 0.989208i | \(-0.546806\pi\) |
0.931804 | + | 0.362961i | \(0.118234\pi\) | |||||||
\(410\) | 3.37307e7 | + | 3.12975e7i | 0.489411 | + | 0.454107i | ||||
\(411\) | 4.22156e6 | + | 1.30218e6i | 0.0608062 | + | 0.0187562i | ||||
\(412\) | 1.64258e6 | − | 4.18522e6i | 0.0234874 | − | 0.0598449i | ||||
\(413\) | −3.20326e6 | + | 4.69832e6i | −0.0454718 | + | 0.0666949i | ||||
\(414\) | 4.62600e7 | + | 9.60598e7i | 0.651935 | + | 1.35376i | ||||
\(415\) | −4.19421e6 | − | 4.52029e6i | −0.0586822 | − | 0.0632443i | ||||
\(416\) | 561472. | − | 3.72512e6i | 0.00779917 | − | 0.0517441i | ||||
\(417\) | −1.99222e7 | + | 1.49296e6i | −0.274744 | + | 0.0205892i | ||||
\(418\) | −1.01862e6 | − | 2.59540e6i | −0.0139471 | − | 0.0355366i | ||||
\(419\) | −5.17660e7 | − | 1.18153e7i | −0.703725 | − | 0.160621i | −0.144339 | − | 0.989528i | \(-0.546106\pi\) |
−0.559385 | + | 0.828908i | \(0.688963\pi\) | |||||||
\(420\) | −4.48382e6 | − | 336016.i | −0.0605202 | − | 0.00453536i | ||||
\(421\) | −2.65808e7 | − | 8.61729e7i | −0.356223 | − | 1.15485i | −0.939493 | − | 0.342568i | \(-0.888703\pi\) |
0.583270 | − | 0.812278i | \(-0.301773\pi\) | |||||||
\(422\) | 8.13947e7 | + | 3.91976e7i | 1.08308 | + | 0.521582i | ||||
\(423\) | 5.77921e7 | + | 1.00099e8i | 0.763567 | + | 1.32254i | ||||
\(424\) | −7.10930e7 | − | 4.10456e7i | −0.932673 | − | 0.538479i | ||||
\(425\) | −2.14958e6 | + | 1.46556e6i | −0.0280019 | + | 0.0190913i | ||||
\(426\) | 4.58582e6 | − | 1.04668e6i | 0.0593183 | − | 0.0135390i | ||||
\(427\) | 8.36338e7 | − | 1.26058e7i | 1.07423 | − | 0.161914i | ||||
\(428\) | 3.63629e6 | − | 4.55977e6i | 0.0463797 | − | 0.0581583i | ||||
\(429\) | − | 122591.i | − | 0.00155270i | ||||||
\(430\) | 8.74861e7 | + | 2.68061e7i | 1.10036 | + | 0.337154i | ||||
\(431\) | −1.44817e8 | −1.80879 | −0.904393 | − | 0.426701i | \(-0.859676\pi\) | ||||
−0.904393 | + | 0.426701i | \(0.859676\pi\) | |||||||
\(432\) | −3.52859e7 | − | 2.81395e7i | −0.437673 | − | 0.349033i | ||||
\(433\) | −1.90309e7 | − | 1.26262e8i | −0.234420 | − | 1.55528i | −0.728001 | − | 0.685576i | \(-0.759550\pi\) |
0.493581 | − | 0.869700i | \(-0.335688\pi\) | |||||||
\(434\) | −1.71319e7 | − | 7.50599e7i | −0.209574 | − | 0.918204i | ||||
\(435\) | −6.58147e6 | − | 9.65324e6i | −0.0799568 | − | 0.117275i | ||||
\(436\) | 1.38042e7 | − | 2.39095e7i | 0.166552 | − | 0.288477i | ||||
\(437\) | −3.70509e7 | + | 2.13914e7i | −0.443971 | + | 0.256327i | ||||
\(438\) | 6.68712e6 | − | 1.38859e7i | 0.0795824 | − | 0.165254i | ||||
\(439\) | 1.25437e7 | − | 3.86921e6i | 0.148263 | − | 0.0457329i | −0.219736 | − | 0.975559i | \(-0.570519\pi\) |
0.367998 | + | 0.929827i | \(0.380043\pi\) | |||||||
\(440\) | 409045. | − | 5.45832e6i | 0.00480190 | − | 0.0640769i | ||||
\(441\) | −8.37320e6 | + | 3.66854e7i | −0.0976283 | + | 0.427738i | ||||
\(442\) | −9.52695e6 | + | 3.73905e6i | −0.110328 | + | 0.0433007i | ||||
\(443\) | 8.86051e6 | + | 1.18235e8i | 0.101917 | + | 1.35999i | 0.780357 | + | 0.625334i | \(0.215037\pi\) |
−0.678440 | + | 0.734656i | \(0.737344\pi\) | |||||||
\(444\) | 3.65199e6 | + | 550449.i | 0.0417235 | + | 0.00628880i | ||||
\(445\) | −1.55725e7 | + | 1.44492e7i | −0.176717 | + | 0.163969i | ||||
\(446\) | 213713. | − | 102919.i | 0.00240894 | − | 0.00116008i | ||||
\(447\) | 1.19208e7 | + | 8.12746e6i | 0.133470 | + | 0.0909981i | ||||
\(448\) | −2.63190e7 | − | 1.03294e7i | −0.292708 | − | 0.114879i | ||||
\(449\) | −3.08397e7 | + | 9.99799e7i | −0.340699 | + | 1.10452i | 0.609476 | + | 0.792804i | \(0.291380\pi\) |
−0.950175 | + | 0.311716i | \(0.899096\pi\) | |||||||
\(450\) | 1.73485e6 | − | 1.86972e6i | 0.0190381 | − | 0.0205182i | ||||
\(451\) | −2.89004e6 | − | 3.62399e6i | −0.0315046 | − | 0.0395055i | ||||
\(452\) | −1.42234e6 | + | 1.13428e6i | −0.0154024 | + | 0.0122830i | ||||
\(453\) | 871999. | + | 809097.i | 0.00938041 | + | 0.00870374i | ||||
\(454\) | 5.82533e7 | + | 1.79688e7i | 0.622519 | + | 0.192022i | ||||
\(455\) | −1.89506e6 | + | 4.82854e6i | −0.0201182 | + | 0.0512603i | ||||
\(456\) | 3.51072e6 | − | 5.14928e6i | 0.0370256 | − | 0.0543066i | ||||
\(457\) | 3.95726e7 | + | 8.21734e7i | 0.414616 | + | 0.860959i | 0.998783 | + | 0.0493256i | \(0.0157072\pi\) |
−0.584167 | + | 0.811634i | \(0.698579\pi\) | |||||||
\(458\) | −9.51372e6 | − | 1.02534e7i | −0.0990271 | − | 0.106726i | ||||
\(459\) | −8.75140e6 | + | 5.80618e7i | −0.0904981 | + | 0.600416i | ||||
\(460\) | 4.69035e7 | − | 3.51493e6i | 0.481872 | − | 0.0361113i | ||||
\(461\) | −3.31805e7 | − | 8.45425e7i | −0.338672 | − | 0.862923i | −0.994180 | − | 0.107734i | \(-0.965640\pi\) |
0.655507 | − | 0.755189i | \(-0.272455\pi\) | |||||||
\(462\) | 1.67173e6 | + | 381562.i | 0.0169528 | + | 0.00386936i | ||||
\(463\) | 9.57788e7 | + | 7.17763e6i | 0.964998 | + | 0.0723166i | 0.547899 | − | 0.836544i | \(-0.315428\pi\) |
0.417099 | + | 0.908861i | \(0.363047\pi\) | |||||||
\(464\) | 2.22605e7 | + | 7.21668e7i | 0.222834 | + | 0.722410i | ||||
\(465\) | 2.30902e7 | + | 1.11197e7i | 0.229652 | + | 0.110594i | ||||
\(466\) | −6.35461e7 | − | 1.10065e8i | −0.627958 | − | 1.08766i | ||||
\(467\) | 1.70985e7 | + | 9.87181e6i | 0.167883 | + | 0.0969273i | 0.581587 | − | 0.813484i | \(-0.302432\pi\) |
−0.413704 | + | 0.910411i | \(0.635765\pi\) | |||||||
\(468\) | 2.18986e6 | − | 1.49302e6i | 0.0213638 | − | 0.0145656i | ||||
\(469\) | 7.85291e7 | − | 1.79237e7i | 0.761223 | − | 0.173744i | ||||
\(470\) | 1.90878e8 | − | 2.87702e7i | 1.83849 | − | 0.277108i | ||||
\(471\) | −9.93692e6 | + | 1.24605e7i | −0.0951019 | + | 0.119254i | ||||
\(472\) | 8.66498e6i | 0.0824027i | ||||||||
\(473\) | −8.31207e6 | − | 3.98367e6i | −0.0785463 | − | 0.0376444i | ||||
\(474\) | 2.16892e7 | 0.203661 | ||||||||
\(475\) | 800187. | + | 638128.i | 0.00746639 | + | 0.00595425i | ||||
\(476\) | −5.63586e6 | − | 3.73915e7i | −0.0522564 | − | 0.346699i | ||||
\(477\) | −3.29004e7 | − | 1.44146e8i | −0.303142 | − | 1.32815i | ||||
\(478\) | 4.61476e7 | + | 6.76862e7i | 0.422538 | + | 0.619750i | ||||
\(479\) | −5.54156e7 | + | 9.59826e7i | −0.504226 | + | 0.873345i | 0.495762 | + | 0.868458i | \(0.334889\pi\) |
−0.999988 | + | 0.00488677i | \(0.998444\pi\) | |||||||
\(480\) | −1.51903e7 | + | 8.77012e6i | −0.137354 | + | 0.0793016i | ||||
\(481\) | 1.84859e6 | − | 3.83864e6i | 0.0166114 | − | 0.0344939i | ||||
\(482\) | 3.90871e7 | − | 1.20568e7i | 0.349054 | − | 0.107669i | ||||
\(483\) | 1.96627e6 | − | 2.62381e7i | 0.0174503 | − | 0.232858i | ||||
\(484\) | −8.98805e6 | + | 3.93792e7i | −0.0792738 | + | 0.347321i | ||||
\(485\) | 1.42601e8 | − | 5.59667e7i | 1.24996 | − | 0.490574i | ||||
\(486\) | −6.51333e6 | − | 8.69144e7i | −0.0567407 | − | 0.757152i | ||||
\(487\) | −2.17988e8 | − | 3.28564e7i | −1.88732 | − | 0.284468i | −0.899127 | − | 0.437688i | \(-0.855798\pi\) |
−0.988192 | + | 0.153220i | \(0.951036\pi\) | |||||||
\(488\) | 9.44766e7 | − | 8.76615e7i | 0.812952 | − | 0.754309i | ||||
\(489\) | −4.30587e7 | + | 2.07360e7i | −0.368243 | + | 0.177336i | ||||
\(490\) | 5.19233e7 | + | 3.54007e7i | 0.441340 | + | 0.300901i | ||||
\(491\) | −7.45124e7 | − | 2.92440e7i | −0.629483 | − | 0.247054i | 0.0290826 | − | 0.999577i | \(-0.490741\pi\) |
−0.658566 | + | 0.752523i | \(0.728837\pi\) | |||||||
\(492\) | −1.71023e6 | + | 5.54443e6i | −0.0143602 | + | 0.0465545i | ||||
\(493\) | 6.68303e7 | − | 7.20259e7i | 0.557741 | − | 0.601102i | ||||
\(494\) | 2.51028e6 | + | 3.14780e6i | 0.0208229 | + | 0.0261111i | ||||
\(495\) | 7.70765e6 | − | 6.14665e6i | 0.0635487 | − | 0.0506784i | ||||
\(496\) | −1.21439e8 | − | 1.12679e8i | −0.995209 | − | 0.923419i | ||||
\(497\) | 1.91583e7 | + | 5.90955e6i | 0.156059 | + | 0.0481377i | ||||
\(498\) | 1.07542e6 | − | 2.74013e6i | 0.00870743 | − | 0.0221862i | ||||
\(499\) | 1.04696e8 | − | 1.53560e8i | 0.842611 | − | 1.23588i | −0.127163 | − | 0.991882i | \(-0.540587\pi\) |
0.969775 | − | 0.244002i | \(-0.0784604\pi\) | |||||||
\(500\) | −1.97086e7 | − | 4.09254e7i | −0.157669 | − | 0.327403i | ||||
\(501\) | −2.64826e7 | − | 2.85415e7i | −0.210595 | − | 0.226967i | ||||
\(502\) | −2.87701e6 | + | 1.90877e7i | −0.0227421 | + | 0.150884i | ||||
\(503\) | 9.37641e7 | − | 7.02664e6i | 0.736771 | − | 0.0552133i | 0.298941 | − | 0.954271i | \(-0.403366\pi\) |
0.437829 | + | 0.899058i | \(0.355747\pi\) | |||||||
\(504\) | −2.41853e7 | − | 6.16232e7i | −0.188912 | − | 0.481340i | ||||
\(505\) | 6.47844e7 | + | 1.47866e7i | 0.503033 | + | 0.114814i | ||||
\(506\) | −1.78869e7 | − | 1.34044e6i | −0.138065 | − | 0.0103465i | ||||
\(507\) | −8.93446e6 | − | 2.89648e7i | −0.0685558 | − | 0.222252i | ||||
\(508\) | 2.86979e7 | + | 1.38202e7i | 0.218906 | + | 0.105420i | ||||
\(509\) | 1.20859e7 | + | 2.09333e7i | 0.0916482 | + | 0.158739i | 0.908205 | − | 0.418526i | \(-0.137453\pi\) |
−0.816557 | + | 0.577265i | \(0.804120\pi\) | |||||||
\(510\) | 4.12677e7 | + | 2.38259e7i | 0.311100 | + | 0.179614i | ||||
\(511\) | 5.42775e7 | − | 3.70057e7i | 0.406777 | − | 0.277336i | ||||
\(512\) | −9.74518e6 | + | 2.22427e6i | −0.0726072 | + | 0.0165721i | ||||
\(513\) | 2.28413e7 | − | 3.44277e6i | 0.169188 | − | 0.0255009i | ||||
\(514\) | −1.69618e8 | + | 2.12694e8i | −1.24906 | + | 1.56627i | ||||
\(515\) | 2.41493e7i | 0.176800i | ||||||||
\(516\) | 1.74106e6 | + | 1.14058e7i | 0.0126725 | + | 0.0830187i | ||||
\(517\) | −1.94454e7 | −0.140717 | ||||||||
\(518\) | 4.65924e7 | + | 3.71562e7i | 0.335216 | + | 0.267326i | ||||
\(519\) | 8.43726e6 | + | 5.59776e7i | 0.0603531 | + | 0.400416i | ||||
\(520\) | 1.75884e6 | + | 7.70597e6i | 0.0125088 | + | 0.0548046i | ||||
\(521\) | −2.49381e7 | − | 3.65775e7i | −0.176340 | − | 0.258643i | 0.727885 | − | 0.685699i | \(-0.240503\pi\) |
−0.904225 | + | 0.427056i | \(0.859551\pi\) | |||||||
\(522\) | −4.81636e7 | + | 8.34217e7i | −0.338616 | + | 0.586499i | ||||
\(523\) | −4.51127e7 | + | 2.60459e7i | −0.315351 | + | 0.182068i | −0.649318 | − | 0.760517i | \(-0.724946\pi\) |
0.333967 | + | 0.942585i | \(0.391612\pi\) | |||||||
\(524\) | 9.72050e6 | − | 2.01848e7i | 0.0675608 | − | 0.140292i | ||||
\(525\) | −601481. | + | 185532.i | −0.00415666 | + | 0.00128216i | ||||
\(526\) | 2.35898e7 | − | 3.14784e8i | 0.162094 | − | 2.16299i | ||||
\(527\) | −4.79596e7 | + | 2.10125e8i | −0.327676 | + | 1.43564i | ||||
\(528\) | 3.43458e6 | − | 1.34797e6i | 0.0233331 | − | 0.00915755i | ||||
\(529\) | 9.50567e6 | + | 1.26844e8i | 0.0642119 | + | 0.856848i | ||||
\(530\) | −2.44167e8 | − | 3.68023e7i | −1.64006 | − | 0.247199i | ||||
\(531\) | −1.14403e7 | + | 1.06150e7i | −0.0764103 | + | 0.0708984i | ||||
\(532\) | −1.34027e7 | + | 6.45439e6i | −0.0890136 | + | 0.0428667i | ||||
\(533\) | 5.53043e6 | + | 3.77059e6i | 0.0365239 | + | 0.0249016i | ||||
\(534\) | −9.43979e6 | − | 3.70485e6i | −0.0619924 | − | 0.0243302i | ||||
\(535\) | −9.23354e6 | + | 2.99344e7i | −0.0602985 | + | 0.195483i | ||||
\(536\) | 8.34848e7 | − | 8.99752e7i | 0.542142 | − | 0.584290i | ||||
\(537\) | 2.98113e7 | + | 3.73821e7i | 0.192512 | + | 0.241402i | ||||
\(538\) | −2.36493e8 | + | 1.88596e8i | −1.51869 | + | 1.21112i | ||||
\(539\) | −4.64060e6 | − | 4.30585e6i | −0.0296352 | − | 0.0274975i | ||||
\(540\) | −2.42670e7 | − | 7.48538e6i | −0.154111 | − | 0.0475371i | ||||
\(541\) | −7.68502e6 | + | 1.95811e7i | −0.0485348 | + | 0.123665i | −0.953085 | − | 0.302702i | \(-0.902111\pi\) |
0.904550 | + | 0.426367i | \(0.140207\pi\) | |||||||
\(542\) | −1.14567e8 | + | 1.68039e8i | −0.719553 | + | 1.05539i | ||||
\(543\) | 5.43121e6 | + | 1.12780e7i | 0.0339232 | + | 0.0704423i | ||||
\(544\) | −1.00332e8 | − | 1.08133e8i | −0.623224 | − | 0.671676i | ||||
\(545\) | −2.21018e7 | + | 1.46636e8i | −0.136533 | + | 0.905837i | ||||
\(546\) | −2.46921e6 | + | 185041.i | −0.0151698 | + | 0.00113682i | ||||
\(547\) | 8.08832e7 | + | 2.06087e8i | 0.494193 | + | 1.25918i | 0.932764 | + | 0.360486i | \(0.117389\pi\) |
−0.438572 | + | 0.898696i | \(0.644515\pi\) | |||||||
\(548\) | −1.56658e7 | − | 3.57561e6i | −0.0951942 | − | 0.0217275i | ||||
\(549\) | 2.31477e8 | + | 1.73468e7i | 1.39891 | + | 0.104834i | ||||
\(550\) | 126480. | + | 410039.i | 0.000760212 | + | 0.00246455i | ||||
\(551\) | −3.48253e7 | − | 1.67710e7i | −0.208180 | − | 0.100254i | ||||
\(552\) | −2.00469e7 | − | 3.47223e7i | −0.119188 | − | 0.206439i | ||||
\(553\) | 8.00612e7 | + | 4.62234e7i | 0.473420 | + | 0.273329i | ||||
\(554\) | −1.69159e8 | + | 1.15331e8i | −0.994870 | + | 0.678291i | ||||
\(555\) | −1.93400e7 | + | 4.41423e6i | −0.113130 | + | 0.0258212i | ||||
\(556\) | 7.18531e7 | − | 1.08301e7i | 0.418043 | − | 0.0630099i | ||||
\(557\) | −2.38928e7 | + | 2.99606e7i | −0.138261 | + | 0.173374i | −0.846141 | − | 0.532958i | \(-0.821080\pi\) |
0.707880 | + | 0.706333i | \(0.249652\pi\) | |||||||
\(558\) | − | 2.11300e8i | − | 1.21618i | ||||||
\(559\) | 1.31653e7 | + | 1.95908e6i | 0.0753696 | + | 0.0112154i | ||||
\(560\) | −1.56116e8 | −0.888963 | ||||||||
\(561\) | −3.75298e6 | − | 2.99290e6i | −0.0212563 | − | 0.0169513i | ||||
\(562\) | −329641. | − | 2.18702e6i | −0.00185709 | − | 0.0123210i | ||||
\(563\) | 5.51809e7 | + | 2.41763e8i | 0.309217 | + | 1.35477i | 0.855775 | + | 0.517348i | \(0.173081\pi\) |
−0.546558 | + | 0.837421i | \(0.684062\pi\) | |||||||
\(564\) | 1.37117e7 | + | 2.01114e7i | 0.0764283 | + | 0.112100i | ||||
\(565\) | 4.88583e6 | − | 8.46251e6i | 0.0270890 | − | 0.0469195i | ||||
\(566\) | −1.85897e8 | + | 1.07328e8i | −1.02523 | + | 0.591919i | ||||
\(567\) | 4.85635e7 | − | 1.00843e8i | 0.266416 | − | 0.553219i | ||||
\(568\) | 2.91936e7 | − | 9.00502e6i | 0.159310 | − | 0.0491405i | ||||
\(569\) | 2.23153e7 | − | 2.97777e8i | 0.121134 | − | 1.61642i | −0.523568 | − | 0.851984i | \(-0.675399\pi\) |
0.644702 | − | 0.764434i | \(-0.276981\pi\) | |||||||
\(570\) | 4.17139e6 | − | 1.82761e7i | 0.0225246 | − | 0.0986866i | ||||
\(571\) | −1.86624e8 | + | 7.32446e7i | −1.00244 | + | 0.393430i | −0.809081 | − | 0.587697i | \(-0.800035\pi\) |
−0.193363 | + | 0.981127i | \(0.561939\pi\) | |||||||
\(572\) | 33321.6 | + | 444646.i | 0.000178048 | + | 0.00237589i | ||||
\(573\) | −3.16960e6 | − | 477741.i | −0.0168477 | − | 0.00253939i | ||||
\(574\) | −6.86313e7 | + | 6.36805e7i | −0.362900 | + | 0.336722i | ||||
\(575\) | 5.93233e6 | − | 2.85686e6i | 0.0312048 | − | 0.0150274i | ||||
\(576\) | −6.41132e7 | − | 4.37116e7i | −0.335490 | − | 0.228733i | ||||
\(577\) | 2.28611e8 | + | 8.97233e7i | 1.19006 | + | 0.467066i | 0.875988 | − | 0.482332i | \(-0.160210\pi\) |
0.314076 | + | 0.949398i | \(0.398305\pi\) | |||||||
\(578\) | −5.17697e7 | + | 1.67833e8i | −0.268097 | + | 0.869149i | ||||
\(579\) | 2.51349e7 | − | 2.70890e7i | 0.129492 | − | 0.139559i | ||||
\(580\) | 2.64952e7 | + | 3.32240e7i | 0.135795 | + | 0.170281i | ||||
\(581\) | 9.80937e6 | − | 7.82271e6i | 0.0500164 | − | 0.0398868i | ||||
\(582\) | 5.36062e7 | + | 4.97392e7i | 0.271923 | + | 0.252308i | ||||
\(583\) | 2.37691e7 | + | 7.33180e6i | 0.119952 | + | 0.0370003i | ||||
\(584\) | 3.65715e7 | − | 9.31826e7i | 0.183613 | − | 0.467839i | ||||
\(585\) | −8.01943e6 | + | 1.17624e7i | −0.0400568 | + | 0.0587525i | ||||
\(586\) | −1.04597e8 | − | 2.17198e8i | −0.519789 | − | 1.07935i | ||||
\(587\) | −1.84545e8 | − | 1.98892e8i | −0.912405 | − | 0.983338i | 0.0875131 | − | 0.996163i | \(-0.472108\pi\) |
−0.999918 | + | 0.0128250i | \(0.995918\pi\) | |||||||
\(588\) | −1.18105e6 | + | 7.83576e6i | −0.00580947 | + | 0.0385433i | ||||
\(589\) | 8.45512e7 | − | 6.33623e6i | 0.413784 | − | 0.0310088i | ||||
\(590\) | 9.52215e6 | + | 2.42620e7i | 0.0463638 | + | 0.118133i | ||||
\(591\) | 8.59005e7 | + | 1.96062e7i | 0.416134 | + | 0.0949798i | ||||
\(592\) | 1.27872e8 | + | 9.58266e6i | 0.616324 | + | 0.0461871i | ||||
\(593\) | −4.03849e7 | − | 1.30925e8i | −0.193667 | − | 0.627853i | −0.999369 | − | 0.0355312i | \(-0.988688\pi\) |
0.805702 | − | 0.592322i | \(-0.201788\pi\) | |||||||
\(594\) | 8.72552e6 | + | 4.20199e6i | 0.0416324 | + | 0.0200491i | ||||
\(595\) | 1.01554e8 | + | 1.75897e8i | 0.482111 | + | 0.835041i | ||||
\(596\) | −4.54465e7 | − | 2.62386e7i | −0.214665 | − | 0.123937i | ||||
\(597\) | 4.47803e6 | − | 3.05307e6i | 0.0210457 | − | 0.0143487i | ||||
\(598\) | 2.52524e7 | − | 5.76370e6i | 0.118086 | − | 0.0269524i | ||||
\(599\) | 2.19301e8 | − | 3.30543e7i | 1.02038 | − | 0.153797i | 0.382516 | − | 0.923949i | \(-0.375058\pi\) |
0.637860 | + | 0.770152i | \(0.279820\pi\) | |||||||
\(600\) | −598023. | + | 749897.i | −0.00276862 | + | 0.00347174i | ||||
\(601\) | − | 1.30280e8i | − | 0.600143i | −0.953917 | − | 0.300071i | \(-0.902989\pi\) | ||
0.953917 | − | 0.300071i | \(-0.0970105\pi\) | |||||||
\(602\) | −6.76918e7 | + | 1.73433e8i | −0.310275 | + | 0.794953i | ||||
\(603\) | 2.21066e8 | 1.00825 | ||||||||
\(604\) | −3.38271e6 | − | 2.69762e6i | −0.0153516 | − | 0.0122425i | ||||
\(605\) | −3.23356e7 | − | 2.14533e8i | −0.146021 | − | 0.968786i | ||||
\(606\) | 7.05858e6 | + | 3.09257e7i | 0.0317175 | + | 0.138964i | ||||
\(607\) | 5.95504e7 | + | 8.73444e7i | 0.266268 | + | 0.390543i | 0.935966 | − | 0.352090i | \(-0.114529\pi\) |
−0.669698 | + | 0.742633i | \(0.733577\pi\) | |||||||
\(608\) | −2.90150e7 | + | 5.02554e7i | −0.129096 | + | 0.223600i | ||||
\(609\) | 2.05871e7 | − | 1.18860e7i | 0.0911472 | − | 0.0526238i | ||||
\(610\) | 1.68202e8 | − | 3.49276e8i | 0.741042 | − | 1.53879i | ||||
\(611\) | 2.68325e7 | − | 8.27672e6i | 0.117635 | − | 0.0362856i | ||||
\(612\) | 7.75551e6 | − | 1.03490e8i | 0.0338342 | − | 0.451486i | ||||
\(613\) | −2.64746e7 | + | 1.15993e8i | −0.114934 | + | 0.503558i | 0.884389 | + | 0.466751i | \(0.154576\pi\) |
−0.999322 | + | 0.0368065i | \(0.988281\pi\) | |||||||
\(614\) | 1.94037e8 | − | 7.61539e7i | 0.838261 | − | 0.328993i | ||||
\(615\) | −2.32898e6 | − | 3.10781e7i | −0.0100125 | − | 0.133607i | ||||
\(616\) | 1.10127e7 | + | 1.65990e6i | 0.0471142 | + | 0.00710133i | ||||
\(617\) | −2.50828e8 | + | 2.32734e8i | −1.06788 | + | 0.990844i | −0.999977 | − | 0.00684821i | \(-0.997820\pi\) |
−0.0678993 | + | 0.997692i | \(0.521630\pi\) | |||||||
\(618\) | −1.03864e7 | + | 5.00181e6i | −0.0440046 | + | 0.0211915i | ||||
\(619\) | −3.50838e8 | − | 2.39198e8i | −1.47923 | − | 1.00852i | −0.990714 | − | 0.135964i | \(-0.956587\pi\) |
−0.488514 | − | 0.872556i | \(-0.662461\pi\) | |||||||
\(620\) | −8.67720e7 | − | 3.40555e7i | −0.364087 | − | 0.142893i | ||||
\(621\) | 4.38023e7 | − | 1.42004e8i | 0.182904 | − | 0.592959i | ||||
\(622\) | 3.70549e8 | − | 3.99357e8i | 1.53984 | − | 1.65955i | ||||
\(623\) | −2.69494e7 | − | 3.37935e7i | −0.111451 | − | 0.139756i | ||||
\(624\) | −4.16558e6 | + | 3.32194e6i | −0.0171444 | + | 0.0136722i | ||||
\(625\) | 1.74306e8 | + | 1.61733e8i | 0.713959 | + | 0.662457i | ||||
\(626\) | 4.94257e8 | + | 1.52458e8i | 2.01479 | + | 0.621480i | ||||
\(627\) | −689910. | + | 1.75786e6i | −0.00279891 | + | 0.00713152i | ||||
\(628\) | 3.26549e7 | − | 4.78959e7i | 0.131847 | − | 0.193384i | ||||
\(629\) | −7.23843e7 | − | 1.50308e8i | −0.290866 | − | 0.603989i | ||||
\(630\) | −1.35438e8 | − | 1.45968e8i | −0.541651 | − | 0.583761i | ||||
\(631\) | 1.43174e7 | − | 9.49895e7i | 0.0569869 | − | 0.378083i | −0.942099 | − | 0.335335i | \(-0.891151\pi\) |
0.999086 | − | 0.0427484i | \(-0.0136114\pi\) | |||||||
\(632\) | 1.40477e8 | − | 1.05273e7i | 0.556486 | − | 0.0417029i | ||||
\(633\) | −2.23545e7 | − | 5.69583e7i | −0.0881360 | − | 0.224567i | ||||
\(634\) | 1.76194e8 | + | 4.02152e7i | 0.691392 | + | 0.157806i | ||||
\(635\) | −1.70608e8 | − | 1.27853e7i | −0.666315 | − | 0.0499334i | ||||
\(636\) | −9.17761e6 | − | 2.97531e7i | −0.0356745 | − | 0.115654i | ||||
\(637\) | 8.23624e6 | + | 3.96636e6i | 0.0318648 | + | 0.0153453i | ||||
\(638\) | −8.10284e6 | − | 1.40345e7i | −0.0312015 | − | 0.0540426i | ||||
\(639\) | 4.76527e7 | + | 2.75123e7i | 0.182635 | + | 0.105445i | ||||
\(640\) | −2.53914e8 | + | 1.73116e8i | −0.968605 | + | 0.660384i | ||||
\(641\) | 2.34290e8 | − | 5.34751e7i | 0.889568 | − | 0.203038i | 0.246770 | − | 0.969074i | \(-0.420631\pi\) |
0.642798 | + | 0.766036i | \(0.277774\pi\) | |||||||
\(642\) | −1.47869e7 | + | 2.22877e6i | −0.0558820 | + | 0.00842286i | ||||
\(643\) | −4.67258e7 | + | 5.85923e7i | −0.175762 | + | 0.220398i | −0.861907 | − | 0.507066i | \(-0.830730\pi\) |
0.686145 | + | 0.727464i | \(0.259301\pi\) | |||||||
\(644\) | 9.57014e7i | 0.358311i | ||||||||
\(645\) | −3.10873e7 | − | 5.36121e7i | −0.115852 | − | 0.199795i | ||||
\(646\) | 1.57651e8 | 0.584789 | ||||||||
\(647\) | −2.47367e8 | − | 1.97268e8i | −0.913332 | − | 0.728358i | 0.0494106 | − | 0.998779i | \(-0.484266\pi\) |
−0.962742 | + | 0.270421i | \(0.912837\pi\) | |||||||
\(648\) | −2.54200e7 | − | 1.68651e8i | −0.0934224 | − | 0.619817i | ||||
\(649\) | −584239. | − | 2.55972e6i | −0.00213726 | − | 0.00936393i | ||||
\(650\) | −349057. | − | 511972.i | −0.00127103 | − | 0.00186426i | ||||
\(651\) | −2.60727e7 | + | 4.51592e7i | −0.0945023 | + | 0.163683i | ||||
\(652\) | 1.50540e8 | − | 8.69143e7i | 0.543137 | − | 0.313580i | ||||
\(653\) | −1.07493e8 | + | 2.23211e8i | −0.386046 | + | 0.801633i | 0.613879 | + | 0.789400i | \(0.289608\pi\) |
−0.999925 | + | 0.0122328i | \(0.996106\pi\) | |||||||
\(654\) | −6.76441e7 | + | 2.08654e7i | −0.241822 | + | 0.0745923i | ||||
\(655\) | −8.99266e6 | + | 1.19999e8i | −0.0320010 | + | 0.427024i | ||||
\(656\) | −4.48278e7 | + | 1.96403e8i | −0.158795 | + | 0.695725i | ||||
\(657\) | 1.67830e8 | − | 6.58683e7i | 0.591797 | − | 0.232263i | ||||
\(658\) | 2.93512e7 | + | 3.91665e8i | 0.103026 | + | 1.37479i | ||||
\(659\) | 1.13872e8 | + | 1.71634e7i | 0.397888 | + | 0.0599720i | 0.344939 | − | 0.938625i | \(-0.387900\pi\) |
0.0529493 | + | 0.998597i | \(0.483138\pi\) | |||||||
\(660\) | 1.52189e6 | − | 1.41210e6i | 0.00529359 | − | 0.00491173i | ||||
\(661\) | −4.18296e8 | + | 2.01441e8i | −1.44837 | + | 0.697497i | −0.982311 | − | 0.187257i | \(-0.940040\pi\) |
−0.466058 | + | 0.884754i | \(0.654326\pi\) | |||||||
\(662\) | 1.52758e8 | + | 1.04149e8i | 0.526539 | + | 0.358988i | ||||
\(663\) | 6.45258e6 | + | 2.53245e6i | 0.0221408 | + | 0.00868962i | ||||
\(664\) | 5.63533e6 | − | 1.82693e7i | 0.0192493 | − | 0.0624047i | ||||
\(665\) | 5.43473e7 | − | 5.85724e7i | 0.184805 | − | 0.199172i | ||||
\(666\) | 1.01975e8 | + | 1.27873e8i | 0.345201 | + | 0.432868i | ||||
\(667\) | −1.94417e8 | + | 1.55043e8i | −0.655175 | + | 0.522484i | ||||
\(668\) | 1.03812e8 | + | 9.63233e7i | 0.348271 | + | 0.323148i | ||||
\(669\) | −153520. | − | 47354.5i | −0.000512726 | − | 0.000158155i | ||||
\(670\) | 1.34883e8 | − | 3.43675e8i | 0.448468 | − | 1.14268i | ||||
\(671\) | −2.19987e7 | + | 3.22662e7i | −0.0728165 | + | 0.106802i | ||||
\(672\) | −1.54848e7 | − | 3.21545e7i | −0.0510267 | − | 0.105958i | ||||
\(673\) | −2.05196e8 | − | 2.21148e8i | −0.673168 | − | 0.725502i | 0.300422 | − | 0.953806i | \(-0.402872\pi\) |
−0.973590 | + | 0.228304i | \(0.926682\pi\) | |||||||
\(674\) | −3.11074e6 | + | 2.06384e7i | −0.0101598 | + | 0.0674056i | ||||
\(675\) | −3.54511e6 | + | 265669.i | −0.0115271 | + | 0.000863833i | ||||
\(676\) | 4.02787e7 | + | 1.02628e8i | 0.130387 | + | 0.332222i | ||||
\(677\) | −3.31221e8 | − | 7.55991e7i | −1.06746 | − | 0.243641i | −0.347517 | − | 0.937674i | \(-0.612975\pi\) |
−0.719944 | + | 0.694032i | \(0.755832\pi\) | |||||||
\(678\) | 4.65158e6 | + | 348588.i | 0.0149249 | + | 0.00111847i | ||||
\(679\) | 9.18734e7 | + | 2.97846e8i | 0.293481 | + | 0.951443i | ||||
\(680\) | 2.78848e8 | + | 1.34286e8i | 0.886832 | + | 0.427076i | ||||
\(681\) | −2.06446e7 | − | 3.57575e7i | −0.0653679 | − | 0.113221i | ||||
\(682\) | 3.07857e7 | + | 1.77741e7i | 0.0970501 | + | 0.0560319i | ||||
\(683\) | −2.40530e8 | + | 1.63991e8i | −0.754932 | + | 0.514704i | −0.878564 | − | 0.477624i | \(-0.841498\pi\) |
0.123632 | + | 0.992328i | \(0.460546\pi\) | |||||||
\(684\) | −3.98032e7 | + | 9.08482e6i | −0.124380 | + | 0.0283889i | ||||
\(685\) | 8.53452e7 | − | 1.28637e7i | 0.265526 | − | 0.0400216i | ||||
\(686\) | −2.51487e8 | + | 3.15355e8i | −0.779011 | + | 0.976849i | ||||
\(687\) | 9.47351e6i | 0.0292173i | ||||||||
\(688\) | 8.98749e7 | + | 3.90387e8i | 0.275977 | + | 1.19875i | ||||
\(689\) | −3.59194e7 | −0.109817 | ||||||||
\(690\) | −9.42888e7 | − | 7.51928e7i | −0.287021 | − | 0.228891i | ||||
\(691\) | −4.32218e7 | − | 2.86758e8i | −0.130999 | − | 0.869123i | −0.953724 | − | 0.300683i | \(-0.902785\pi\) |
0.822725 | − | 0.568440i | \(-0.192453\pi\) | |||||||
\(692\) | −4.58177e7 | − | 2.00740e8i | −0.138266 | − | 0.605782i | ||||
\(693\) | 1.12995e7 | + | 1.65734e7i | 0.0339517 | + | 0.0497980i | ||||
\(694\) | −2.95797e8 | + | 5.12336e8i | −0.884944 | + | 1.53277i | ||||
\(695\) | −3.38011e8 | + | 1.95151e8i | −1.00688 | + | 0.581321i | ||||
\(696\) | 1.57169e7 | − | 3.26366e7i | 0.0466166 | − | 0.0968003i | ||||
\(697\) | 2.50450e8 | − | 7.72535e7i | 0.739643 | − | 0.228150i | ||||
\(698\) | −1.25220e6 | + | 1.67094e7i | −0.00368219 | + | 0.0491355i | ||||
\(699\) | −1.91544e7 | + | 8.39210e7i | −0.0560838 | + | 0.245719i | ||||
\(700\) | 2.13118e6 | − | 836425.i | 0.00621334 | − | 0.00243856i | ||||
\(701\) | −4.23354e7 | − | 5.64926e8i | −0.122899 | − | 1.63998i | −0.628930 | − | 0.777462i | \(-0.716507\pi\) |
0.506031 | − | 0.862515i | \(-0.331112\pi\) | |||||||
\(702\) | −1.38288e7 | − | 2.08435e6i | −0.0399734 | − | 0.00602503i | ||||
\(703\) | −4.81101e7 | + | 4.46396e7i | −0.138475 | + | 0.128486i | ||||
\(704\) | 1.17617e7 | − | 5.66414e6i | 0.0337095 | − | 0.0162336i | ||||
\(705\) | −1.08024e8 | − | 7.36493e7i | −0.308285 | − | 0.210185i | ||||
\(706\) | −4.71205e8 | − | 1.84934e8i | −1.33905 | − | 0.525537i | ||||
\(707\) | −3.98525e7 | + | 1.29199e8i | −0.112771 | + | 0.365595i | ||||
\(708\) | −2.23542e6 | + | 2.40921e6i | −0.00629881 | + | 0.00678850i | ||||
\(709\) | 1.34847e8 | + | 1.69093e8i | 0.378358 | + | 0.474446i | 0.934153 | − | 0.356873i | \(-0.116157\pi\) |
−0.555794 | + | 0.831320i | \(0.687586\pi\) | |||||||
\(710\) | 7.18465e7 | − | 5.72957e7i | 0.200738 | − | 0.160084i | ||||
\(711\) | 1.85990e8 | + | 1.72574e8i | 0.517465 | + | 0.480138i | ||||
\(712\) | −6.29381e7 | − | 1.94138e7i | −0.174371 | − | 0.0537863i | ||||
\(713\) | 1.99283e8 | − | 5.07766e8i | 0.549797 | − | 1.40086i | ||||
\(714\) | −5.46175e7 | + | 8.01091e7i | −0.150050 | + | 0.220083i | ||||
\(715\) | −1.03916e6 | − | 2.15783e6i | −0.00284291 | − | 0.00590336i | ||||
\(716\) | −1.18288e8 | − | 1.27484e8i | −0.322256 | − | 0.347310i | ||||
\(717\) | 8.26958e6 | − | 5.48651e7i | 0.0224350 | − | 0.148846i | ||||
\(718\) | 7.29982e8 | − | 5.47046e7i | 1.97214 | − | 0.147792i | ||||
\(719\) | 7.29973e7 | + | 1.85994e8i | 0.196390 | + | 0.500394i | 0.994815 | − | 0.101700i | \(-0.0324283\pi\) |
−0.798425 | + | 0.602095i | \(0.794333\pi\) | |||||||
\(720\) | −4.17719e8 | − | 9.53416e7i | −1.11914 | − | 0.255438i | ||||
\(721\) | −4.89988e7 | − | 3.67195e6i | −0.130731 | − | 0.00979696i | ||||
\(722\) | 1.11043e8 | + | 3.59994e8i | 0.295040 | + | 0.956497i | ||||
\(723\) | −2.49608e7 | − | 1.20205e7i | −0.0660457 | − | 0.0318059i | ||||
\(724\) | −2.27648e7 | − | 3.94298e7i | −0.0599858 | − | 0.103898i | ||||
\(725\) | 5.15184e6 | + | 2.97442e6i | 0.0135191 | + | 0.00780527i | ||||
\(726\) | 8.55708e7 | − | 5.83412e7i | 0.223623 | − | 0.152463i | ||||
\(727\) | −4.81333e8 | + | 1.09861e8i | −1.25269 | + | 0.285918i | −0.796867 | − | 0.604154i | \(-0.793511\pi\) |
−0.455820 | + | 0.890072i | \(0.650654\pi\) | |||||||
\(728\) | −1.59028e7 | + | 2.39696e6i | −0.0412173 | + | 0.00621251i | ||||
\(729\) | 1.65810e8 | − | 2.07919e8i | 0.427985 | − | 0.536676i | ||||
\(730\) | − | 3.01102e8i | − | 0.774007i | ||||||
\(731\) | 3.81388e8 | − | 3.55212e8i | 0.976371 | − | 0.909358i | ||||
\(732\) | 4.88834e7 | 0.124632 | ||||||||
\(733\) | −5.82851e8 | − | 4.64808e8i | −1.47994 | − | 1.18022i | −0.941248 | − | 0.337716i | \(-0.890346\pi\) |
−0.538696 | − | 0.842500i | \(-0.681083\pi\) | |||||||
\(734\) | −4.78268e7 | − | 3.17310e8i | −0.120944 | − | 0.802408i | ||||
\(735\) | −9.47124e6 | − | 4.14962e7i | −0.0238531 | − | 0.104507i | ||||
\(736\) | 2.10303e8 | + | 3.08457e8i | 0.527486 | + | 0.773680i | ||||
\(737\) | −1.85956e7 | + | 3.22086e7i | −0.0464524 | + | 0.0804579i | ||||
\(738\) | −2.22527e8 | + | 1.28476e8i | −0.553621 | + | 0.319633i | ||||
\(739\) | 1.69067e8 | − | 3.51071e8i | 0.418915 | − | 0.869885i | −0.579574 | − | 0.814920i | \(-0.696781\pi\) |
0.998488 | − | 0.0549652i | \(-0.0175048\pi\) | |||||||
\(740\) | 6.89475e7 | − | 2.12675e7i | 0.170147 | − | 0.0524833i | ||||
\(741\) | 203783. | − | 2.71930e6i | 0.000500857 | − | 0.00668348i | ||||
\(742\) | 1.11798e8 | − | 4.89818e8i | 0.273666 | − | 1.19901i | ||||
\(743\) | −4.17583e8 | + | 1.63889e8i | −1.01807 | + | 0.399562i | −0.814912 | − | 0.579585i | \(-0.803215\pi\) |
−0.203155 | + | 0.979147i | \(0.565119\pi\) | |||||||
\(744\) | 5.93801e6 | + | 7.92372e7i | 0.0144186 | + | 0.192402i | ||||
\(745\) | 2.78721e8 | + | 4.20104e7i | 0.674063 | + | 0.101599i | ||||
\(746\) | −6.60787e8 | + | 6.13121e8i | −1.59164 | + | 1.47683i | ||||
\(747\) | 3.10243e7 | − | 1.49405e7i | 0.0744286 | − | 0.0358429i | ||||
\(748\) | 1.44258e7 | + | 9.83533e6i | 0.0344695 | + | 0.0235009i | ||||
\(749\) | −5.93327e7 | − | 2.32864e7i | −0.141205 | − | 0.0554187i | ||||
\(750\) | −3.43297e7 | + | 1.11294e8i | −0.0813740 | + | 0.263808i | ||||
\(751\) | −4.42328e8 | + | 4.76716e8i | −1.04430 | + | 1.12549i | −0.0523777 | + | 0.998627i | \(0.516680\pi\) |
−0.991921 | + | 0.126859i | \(0.959511\pi\) | |||||||
\(752\) | 5.26925e8 | + | 6.60743e8i | 1.23907 | + | 1.55374i | ||||
\(753\) | 1.02218e7 | − | 8.15157e6i | 0.0239409 | − | 0.0190922i | ||||
\(754\) | 1.71546e7 | + | 1.59172e7i | 0.0400191 | + | 0.0371323i | ||||
\(755\) | 2.22071e7 | + | 6.85000e6i | 0.0516003 | + | 0.0159166i | ||||
\(756\) | 1.88776e7 | − | 4.80994e7i | 0.0436900 | − | 0.111320i | ||||
\(757\) | 8.65855e6 | − | 1.26998e7i | 0.0199599 | − | 0.0292757i | −0.816129 | − | 0.577870i | \(-0.803884\pi\) |
0.836089 | + | 0.548594i | \(0.184837\pi\) | |||||||
\(758\) | −2.02543e8 | − | 4.20585e8i | −0.465061 | − | 0.965709i | ||||
\(759\) | 8.26323e6 | + | 8.90564e6i | 0.0188984 | + | 0.0203676i | ||||
\(760\) | 1.81467e7 | − | 1.20396e8i | 0.0413388 | − | 0.274265i | ||||
\(761\) | 8.32355e8 | − | 6.23764e7i | 1.88866 | − | 0.141536i | 0.920321 | − | 0.391164i | \(-0.127927\pi\) |
0.968342 | + | 0.249628i | \(0.0803083\pi\) | |||||||
\(762\) | −2.98376e7 | − | 7.60249e7i | −0.0674371 | − | 0.171827i | ||||
\(763\) | −2.94162e8 | − | 6.71406e7i | −0.662236 | − | 0.151151i | ||||
\(764\) | 1.16262e7 | + | 871262.i | 0.0260710 | + | 0.00195375i | ||||
\(765\) | 1.64306e8 | + | 5.32667e8i | 0.367002 | + | 1.18979i | ||||
\(766\) | 5.73147e8 | + | 2.76013e8i | 1.27520 | + | 0.614106i | ||||
\(767\) | 1.89570e6 | + | 3.28345e6i | 0.00420130 | + | 0.00727686i | ||||
\(768\) | −8.76233e7 | − | 5.05893e7i | −0.193435 | − | 0.111680i | ||||
\(769\) | −4.11980e7 | + | 2.80883e7i | −0.0905936 | + | 0.0617657i | −0.607770 | − | 0.794113i | \(-0.707936\pi\) |
0.517176 | + | 0.855879i | \(0.326983\pi\) | |||||||
\(770\) | 3.26598e7 | − | 7.45439e6i | 0.0715388 | − | 0.0163283i | ||||
\(771\) | 1.82198e8 | − | 2.74619e7i | 0.397540 | − | 0.0599195i | ||||
\(772\) | −8.38028e7 | + | 1.05085e8i | −0.182141 | + | 0.228397i | ||||
\(773\) | − | 6.27654e8i | − | 1.35888i | −0.733730 | − | 0.679441i | \(-0.762222\pi\) | ||
0.733730 | − | 0.679441i | \(-0.237778\pi\) | |||||||
\(774\) | −2.87039e8 | + | 4.22713e8i | −0.619040 | + | 0.911638i | ||||
\(775\) | −1.30492e7 | −0.0280335 | ||||||||
\(776\) | 3.71340e8 | + | 2.96134e8i | 0.794669 | + | 0.633727i | ||||
\(777\) | −6.01576e6 | − | 3.99120e7i | −0.0128241 | − | 0.0850825i | ||||
\(778\) | −1.66507e8 | − | 7.29515e8i | −0.353585 | − | 1.54916i | ||||
\(779\) | −5.80822e7 | − | 8.51909e7i | −0.122866 | − | 0.180211i | ||||
\(780\) | −1.49898e6 | + | 2.59631e6i | −0.00315873 | + | 0.00547108i | ||||
\(781\) | −8.01690e6 | + | 4.62856e6i | −0.0168288 | + | 0.00971612i | ||||
\(782\) | 4.40055e8 | − | 9.13784e8i | 0.920210 | − | 1.91084i | ||||
\(783\) | 1.28297e8 | − | 3.95743e7i | 0.267258 | − | 0.0824381i | ||||
\(784\) | −2.05607e7 | + | 2.74363e8i | −0.0426667 | + | 0.569348i | ||||
\(785\) | −6.92853e7 | + | 3.03559e8i | −0.143229 | + | 0.627529i | ||||
\(786\) | −5.34727e7 | + | 2.09865e7i | −0.110119 | + | 0.0432187i | ||||
\(787\) | 5.45925e7 | + | 7.28486e8i | 0.111998 | + | 1.49450i | 0.716325 | + | 0.697767i | \(0.245823\pi\) |
−0.604327 | + | 0.796736i | \(0.706558\pi\) | |||||||
\(788\) | −3.16895e8 | − | 4.77642e7i | −0.647645 | − | 0.0976167i | ||||
\(789\) | −1.56727e8 | + | 1.45421e8i | −0.319089 | + | 0.296071i | ||||
\(790\) | 3.81769e8 | − | 1.83850e8i | 0.774318 | − | 0.372892i | ||||
\(791\) | 1.64275e7 | + | 1.12001e7i | 0.0331926 | + | 0.0226303i | ||||
\(792\) | 2.84529e7 | + | 1.11669e7i | 0.0572732 | + | 0.0224781i | ||||
\(793\) | 1.66220e7 | − | 5.38872e7i | 0.0333322 | − | 0.108060i | ||||
\(794\) | −2.55611e8 | + | 2.75483e8i | −0.510644 | + | 0.550344i | ||||
\(795\) | 1.04274e8 | + | 1.30755e8i | 0.207526 | + | 0.260230i | ||||
\(796\) | −1.54122e7 | + | 1.22908e7i | −0.0305581 | + | 0.0243692i | ||||
\(797\) | 5.15642e8 | + | 4.78445e8i | 1.01853 | + | 0.945056i | 0.998500 | − | 0.0547437i | \(-0.0174342\pi\) |
0.0200274 | + | 0.999799i | \(0.493625\pi\) | |||||||
\(798\) | 3.64478e7 | + | 1.12426e7i | 0.0717236 | + | 0.0221238i | ||||
\(799\) | 4.01697e8 | − | 1.02351e9i | 0.787514 | − | 2.00655i | ||||
\(800\) | 5.03100e6 | − | 7.37913e6i | 0.00982618 | − | 0.0144124i | ||||
\(801\) | −5.14703e7 | − | 1.06879e8i | −0.100152 | − | 0.207968i | ||||
\(802\) | −2.88327e8 | − | 3.10742e8i | −0.558935 | − | 0.602389i | ||||
\(803\) | −4.52070e6 | + | 2.99929e7i | −0.00873091 | + | 0.0579258i | ||||
\(804\) | 4.64241e7 | − | 3.47901e6i | 0.0893255 | − | 0.00669402i | ||||
\(805\) | −1.87799e8 | − | 4.78505e8i | −0.360003 | − | 0.917273i | ||||
\(806\) | −5.00461e7 | − | 1.14227e7i | −0.0955796 | − | 0.0218154i | ||||
\(807\) | 2.04300e8 | + | 1.53101e7i | 0.388729 | + | 0.0291312i | ||||
\(808\) | 6.07276e7 | + | 1.96874e8i | 0.115120 | + | 0.373211i | ||||
\(809\) | −1.29402e8 | − | 6.23168e7i | −0.244397 | − | 0.117695i | 0.307676 | − | 0.951491i | \(-0.400449\pi\) |
−0.552073 | + | 0.833796i | \(0.686163\pi\) | |||||||
\(810\) | −2.56511e8 | − | 4.44290e8i | −0.482670 | − | 0.836010i | ||||
\(811\) | 6.43041e8 | + | 3.71260e8i | 1.20552 | + | 0.696010i | 0.961778 | − | 0.273829i | \(-0.0882902\pi\) |
0.243746 | + | 0.969839i | \(0.421624\pi\) | |||||||
\(812\) | −7.14398e7 | + | 4.87068e7i | −0.133436 | + | 0.0909750i | ||||
\(813\) | 1.34294e8 | − | 3.06518e7i | 0.249911 | − | 0.0570406i | ||||
\(814\) | −2.72086e7 | + | 4.10104e6i | −0.0504467 | + | 0.00760362i | ||||
\(815\) | −5.82140e8 | + | 7.29981e8i | −1.07536 | + | 1.34846i | ||||
\(816\) | 2.08625e8i | 0.383968i | ||||||||
\(817\) | −1.77755e8 | − | 1.02182e8i | −0.325953 | − | 0.187374i | ||||
\(818\) | 6.40889e8 | 1.17091 | ||||||||
\(819\) | −2.26464e7 | − | 1.80599e7i | −0.0412237 | − | 0.0328748i | ||||
\(820\) | 1.68947e7 | + | 1.12089e8i | 0.0306414 | + | 0.203292i | ||||
\(821\) | 1.49996e8 | + | 6.57176e8i | 0.271051 | + | 1.18755i | 0.908775 | + | 0.417286i | \(0.137019\pi\) |
−0.637725 | + | 0.770264i | \(0.720124\pi\) | |||||||
\(822\) | 2.32092e7 | + | 3.40417e7i | 0.0417874 | + | 0.0612908i | ||||
\(823\) | 2.40318e8 | − | 4.16243e8i | 0.431109 | − | 0.746702i | −0.565860 | − | 0.824501i | \(-0.691456\pi\) |
0.996969 | + | 0.0777990i | \(0.0247892\pi\) | |||||||
\(824\) | −6.48429e7 | + | 3.74371e7i | −0.115899 | + | 0.0669145i | ||||
\(825\) | 126100. | − | 261849.i | 0.000224570 | − | 0.000466325i | ||||
\(826\) | −5.06754e7 | + | 1.56313e7i | −0.0899201 | + | 0.0277367i | ||||
\(827\) | 7.88593e6 | − | 1.05230e8i | 0.0139424 | − | 0.186048i | −0.985884 | − | 0.167428i | \(-0.946454\pi\) |
0.999827 | − | 0.0186197i | \(-0.00592718\pi\) | |||||||
\(828\) | −5.84457e7 | + | 2.56068e8i | −0.102958 | + | 0.451090i | ||||
\(829\) | −6.11977e7 | + | 2.40183e7i | −0.107417 | + | 0.0421579i | −0.418441 | − | 0.908244i | \(-0.637423\pi\) |
0.311024 | + | 0.950402i | \(0.399328\pi\) | |||||||
\(830\) | −4.29757e6 | − | 5.73471e7i | −0.00751603 | − | 0.100294i | ||||
\(831\) | 1.37117e8 | + | 2.06671e7i | 0.238940 | + | 0.0360144i | ||||
\(832\) | −1.38189e7 | + | 1.28221e7i | −0.0239941 | + | 0.0222633i | ||||
\(833\) | 3.22502e8 | − | 1.55309e8i | 0.557953 | − | 0.268696i | ||||
\(834\) | −1.53941e8 | − | 1.04955e8i | −0.265373 | − | 0.180928i | ||||
\(835\) | −7.08076e8 | − | 2.77899e8i | −1.21624 | − | 0.477340i | ||||
\(836\) | 2.02454e6 | − | 6.56339e6i | 0.00346503 | − | 0.0112333i | ||||
\(837\) | −2.00319e8 | + | 2.15893e8i | −0.341622 | + | 0.368181i | ||||
\(838\) | −3.08743e8 | − | 3.87152e8i | −0.524645 | − | 0.657884i | ||||
\(839\) | 3.84222e8 | − | 3.06407e8i | 0.650573 | − | 0.518815i | −0.241677 | − | 0.970357i | \(-0.577697\pi\) |
0.892250 | + | 0.451542i | \(0.149126\pi\) | |||||||
\(840\) | 5.48912e7 | + | 5.09316e7i | 0.0926116 | + | 0.0859310i | ||||
\(841\) | 3.53712e8 | + | 1.09106e8i | 0.594650 | + | 0.183425i | ||||
\(842\) | 3.07257e8 | − | 7.82877e8i | 0.514713 | − | 1.31147i | ||||
\(843\) | −843852. | + | 1.23770e6i | −0.00140859 | + | 0.00206602i | ||||
\(844\) | 9.65628e7 | + | 2.00515e8i | 0.160614 | + | 0.333518i | ||||
\(845\) | −4.02785e8 | − | 4.34099e8i | −0.667580 | − | 0.719480i | ||||
\(846\) | −1.60659e8 | + | 1.06590e9i | −0.265334 | + | 1.76037i | ||||
\(847\) | 4.40202e8 | − | 3.29886e7i | 0.724440 | − | 0.0542892i | ||||
\(848\) | −3.94957e8 | − | 1.00633e9i | −0.647683 | − | 1.65027i | ||||
\(849\) | 1.41741e8 | + | 3.23513e7i | 0.231617 | + | 0.0528651i | ||||
\(850\) | −2.41951e7 | − | 1.81317e6i | −0.0393977 | − | 0.00295245i | ||||
\(851\) | 1.24451e8 | + | 4.03461e8i | 0.201935 | + | 0.654656i | ||||
\(852\) | 1.04401e7 | + | 5.02769e6i | 0.0168805 | + | 0.00812923i | ||||
\(853\) | −5.27180e7 | − | 9.13102e7i | −0.0849398 | − | 0.147120i | 0.820426 | − | 0.571753i | \(-0.193736\pi\) |
−0.905366 | + | 0.424633i | \(0.860403\pi\) | |||||||
\(854\) | 6.83103e8 | + | 3.94390e8i | 1.09676 | + | 0.633216i | ||||
\(855\) | 1.81187e8 | − | 1.23531e8i | 0.289888 | − | 0.197642i | ||||
\(856\) | −9.46904e7 | + | 2.16125e7i | −0.150968 | + | 0.0344574i | ||||
\(857\) | −4.48565e8 | + | 6.76103e7i | −0.712661 | + | 0.107416i | −0.495359 | − | 0.868688i | \(-0.664964\pi\) |
−0.217302 | + | 0.976104i | \(0.569726\pi\) | |||||||
\(858\) | 712829. | − | 893859.i | 0.00112856 | − | 0.00141517i | ||||
\(859\) | − | 1.18098e9i | − | 1.86322i | −0.363461 | − | 0.931609i | \(-0.618405\pi\) | ||
0.363461 | − | 0.931609i | \(-0.381595\pi\) | |||||||
\(860\) | 1.27328e8 | + | 1.86004e8i | 0.200183 | + | 0.292434i | ||||
\(861\) | 6.34114e7 | 0.0993477 | ||||||||
\(862\) | −1.05591e9 | − | 8.42062e8i | −1.64857 | − | 1.31469i | ||||
\(863\) | −3.37871e7 | − | 2.24163e8i | −0.0525677 | − | 0.348764i | −0.999617 | − | 0.0276754i | \(-0.991190\pi\) |
0.947049 | − | 0.321088i | \(-0.104049\pi\) | |||||||
\(864\) | −4.48529e7 | − | 1.96513e8i | −0.0695424 | − | 0.304685i | ||||
\(865\) | 6.23009e8 | + | 9.13787e8i | 0.962601 | + | 1.41188i | ||||
\(866\) | 5.95409e8 | − | 1.03128e9i | 0.916772 | − | 1.58790i | ||||
\(867\) | 1.03021e8 | − | 5.94790e7i | 0.158076 | − | 0.0912654i | ||||
\(868\) | 8.22923e7 | − | 1.70882e8i | 0.125835 | − | 0.261298i | ||||
\(869\) | −4.07885e7 | + | 1.25816e7i | −0.0621554 | + | 0.0191724i | ||||
\(870\) | 8.14253e6 | − | 1.08654e8i | 0.0123652 | − | 0.165002i | ||||
\(871\) | 1.19506e7 | − | 5.23592e7i | 0.0180858 | − | 0.0792389i | ||||
\(872\) | −4.27991e8 | + | 1.67974e8i | −0.645484 | + | 0.253334i | ||||
\(873\) | 6.39275e7 | + | 8.53053e8i | 0.0960826 | + | 1.28213i | ||||
\(874\) | −3.94536e8 | − | 5.94667e7i | −0.590952 | − | 0.0890716i | ||||
\(875\) | −3.63908e8 | + | 3.37657e8i | −0.543209 | + | 0.504024i | ||||
\(876\) | 3.42078e7 | − | 1.64736e7i | 0.0508878 | − | 0.0245063i | ||||
\(877\) | −5.50756e8 | − | 3.75499e8i | −0.816508 | − | 0.556685i | 0.0814959 | − | 0.996674i | \(-0.474030\pi\) |
−0.898004 | + | 0.439988i | \(0.854983\pi\) | |||||||
\(878\) | 1.13959e8 | + | 4.47255e7i | 0.168370 | + | 0.0660803i | ||||
\(879\) | −4.81268e7 | + | 1.56023e8i | −0.0708632 | + | 0.229733i | ||||
\(880\) | 4.90286e7 | − | 5.28403e7i | 0.0719451 | − | 0.0775384i | ||||
\(881\) | 6.36490e8 | + | 7.98133e8i | 0.930816 | + | 1.16721i | 0.985665 | + | 0.168712i | \(0.0539608\pi\) |
−0.0548492 | + | 0.998495i | \(0.517468\pi\) | |||||||
\(882\) | −2.74366e8 | + | 2.18799e8i | −0.399875 | + | 0.318890i | ||||
\(883\) | 3.26961e8 | + | 3.03375e8i | 0.474913 | + | 0.440655i | 0.880955 | − | 0.473200i | \(-0.156901\pi\) |
−0.406043 | + | 0.913854i | \(0.633092\pi\) | |||||||
\(884\) | −2.40922e7 | − | 7.43147e6i | −0.0348755 | − | 0.0107577i | ||||
\(885\) | 6.44933e6 | − | 1.64326e7i | 0.00930432 | − | 0.0237070i | ||||
\(886\) | −6.22894e8 | + | 9.13618e8i | −0.895598 | + | 1.31360i | ||||
\(887\) | −4.19907e8 | − | 8.71946e8i | −0.601703 | − | 1.24945i | −0.950054 | − | 0.312086i | \(-0.898972\pi\) |
0.348351 | − | 0.937364i | \(-0.386742\pi\) | |||||||
\(888\) | −4.18341e7 | − | 4.50864e7i | −0.0597436 | − | 0.0643883i | ||||
\(889\) | 5.18827e7 | − | 3.44219e8i | 0.0738444 | − | 0.489926i | ||||
\(890\) | −1.97562e8 | + | 1.48052e7i | −0.280242 | + | 0.0210012i | ||||
\(891\) | 1.88807e7 | + | 4.81072e7i | 0.0266922 | + | 0.0680106i | ||||
\(892\) | 569696. | + | 130029.i | 0.000802691 | + | 0.000183209i | ||||
\(893\) | −4.31335e8 | − | 3.23241e7i | −0.605703 | − | 0.0453912i | ||||
\(894\) | 3.96604e7 | + | 1.28576e8i | 0.0555066 | + | 0.179948i | ||||
\(895\) | 8.41605e8 | + | 4.05295e8i | 1.17392 | + | 0.565331i | ||||
\(896\) | −3.12642e8 | − | 5.41512e8i | −0.434634 | − | 0.752808i | ||||
\(897\) | −1.51929e7 | − | 8.77162e6i | −0.0210505 | − | 0.0121535i | ||||
\(898\) | −8.06214e8 | + | 5.49667e8i | −1.11332 | + | 0.759051i | ||||
\(899\) | 4.80465e8 | − | 1.09663e8i | 0.661275 | − | 0.150932i | ||||
\(900\) | 6.21319e6 | − | 936487.i | 0.00852289 | − | 0.00128462i | ||||
\(901\) | −8.76922e8 | + | 1.09963e9i | −1.19891 | + | 1.50339i | ||||
\(902\) | − | 4.32285e7i | − | 0.0589048i | ||||||
\(903\) | 1.13505e8 | − | 5.49242e7i | 0.154154 | − | 0.0745934i | ||||
\(904\) | 3.02967e7 | 0.0410100 | ||||||||
\(905\) | 1.91198e8 | + | 1.52476e8i | 0.257952 | + | 0.205710i | ||||
\(906\) | 1.65343e6 | + | 1.09698e7i | 0.00222332 | + | 0.0147508i | ||||
\(907\) | 1.47500e8 | + | 6.46238e8i | 0.197683 | + | 0.866105i | 0.972311 | + | 0.233689i | \(0.0750797\pi\) |
−0.774629 | + | 0.632416i | \(0.782063\pi\) | |||||||
\(908\) | 8.45983e7 | + | 1.24083e8i | 0.113007 | + | 0.165750i | ||||
\(909\) | −1.85536e8 | + | 3.21358e8i | −0.247023 | + | 0.427856i | ||||
\(910\) | −4.18940e7 | + | 2.41875e7i | −0.0555939 | + | 0.0320972i | ||||
\(911\) | 2.26864e8 | − | 4.71088e8i | 0.300062 | − | 0.623085i | −0.695360 | − | 0.718661i | \(-0.744755\pi\) |
0.995422 | + | 0.0955764i | \(0.0304694\pi\) | |||||||
\(912\) | 7.84260e7 | − | 2.41912e7i | 0.103389 | − | 0.0318914i | ||||
\(913\) | −432918. | + | 5.77690e6i | −0.000568845 | + | 0.00759071i | ||||
\(914\) | −1.89273e8 | + | 8.29259e8i | −0.247885 | + | 1.08605i | ||||
\(915\) | −2.44416e8 | + | 9.59261e7i | −0.319055 | + | 0.125220i | ||||
\(916\) | −2.57500e6 | − | 3.43609e7i | −0.00335035 | − | 0.0447073i | ||||
\(917\) | −2.42109e8 | − | 3.64921e7i | −0.313981 | − | 0.0473250i | ||||
\(918\) | −4.01420e8 | + | 3.72463e8i | −0.518885 | + | 0.481455i | ||||
\(919\) | −1.10179e9 | + | 5.30593e8i | −1.41955 | + | 0.683621i | −0.977023 | − | 0.213133i | \(-0.931633\pi\) |
−0.442530 | + | 0.896754i | \(0.645919\pi\) | |||||||
\(920\) | −6.47189e8 | − | 4.41246e8i | −0.831127 | − | 0.566653i | ||||
\(921\) | −1.31421e8 | − | 5.15789e7i | −0.168223 | − | 0.0660226i | ||||
\(922\) | 2.49656e8 | − | 8.09364e8i | 0.318529 | − | 1.03265i | ||||
\(923\) | 9.09232e6 | − | 9.79919e6i | 0.0115630 | − | 0.0124619i | ||||
\(924\) | 2.63374e6 | + | 3.30261e6i | 0.00333855 | + | 0.00418640i | ||||
\(925\) | 7.89699e6 | − | 6.29764e6i | 0.00997784 | − | 0.00795706i | ||||
\(926\) | 6.56623e8 | + | 6.09257e8i | 0.826958 | + | 0.767305i | ||||
\(927\) | −1.28863e8 | − | 3.97491e7i | −0.161767 | − | 0.0498985i | ||||
\(928\) | −1.23227e8 | + | 3.13976e8i | −0.154191 | + | 0.392873i | ||||
\(929\) | 8.31311e8 | − | 1.21931e9i | 1.03685 | − | 1.52078i | 0.195197 | − | 0.980764i | \(-0.437465\pi\) |
0.841654 | − | 0.540017i | \(-0.181582\pi\) | |||||||
\(930\) | 1.03702e8 | + | 2.15340e8i | 0.128926 | + | 0.267717i | ||||
\(931\) | −9.57794e7 | − | 1.03226e8i | −0.118692 | − | 0.127920i | ||||
\(932\) | 4.66636e7 | − | 3.09593e8i | 0.0576408 | − | 0.382422i | ||||
\(933\) | −3.67951e8 | + | 2.75741e7i | −0.453049 | + | 0.0339513i | ||||
\(934\) | 6.72700e7 | + | 1.71401e8i | 0.0825621 | + | 0.210365i | ||||
\(935\) | −9.14289e7 | − | 2.08680e7i | −0.111853 | − | 0.0255298i | ||||
\(936\) | −4.40149e7 | − | 3.29846e6i | −0.0536750 | − | 0.00402238i | ||||
\(937\) | 3.46177e8 | + | 1.12228e9i | 0.420803 | + | 1.36421i | 0.879619 | + | 0.475679i | \(0.157797\pi\) |
−0.458816 | + | 0.888531i | \(0.651726\pi\) | |||||||
\(938\) | 6.76805e8 | + | 3.25932e8i | 0.820078 | + | 0.394929i | ||||
\(939\) | −1.75161e8 | − | 3.03389e8i | −0.211564 | − | 0.366440i | ||||
\(940\) | 4.11827e8 | + | 2.37768e8i | 0.495828 | + | 0.286266i | ||||
\(941\) | −8.31628e8 | + | 5.66995e8i | −0.998069 | + | 0.680472i | −0.947999 | − | 0.318274i | \(-0.896897\pi\) |
−0.0500700 | + | 0.998746i | \(0.515944\pi\) | |||||||
\(942\) | −1.44908e8 | + | 3.30742e7i | −0.173356 | + | 0.0395673i | ||||
\(943\) | −6.55913e8 | + | 9.88630e7i | −0.782188 | + | 0.117896i | ||||
\(944\) | −7.11462e7 | + | 8.92145e7i | −0.0845737 | + | 0.106052i | ||||
\(945\) | 2.77540e8i | 0.328875i | ||||||||
\(946\) | −3.74426e7 | − | 7.73784e7i | −0.0442276 | − | 0.0914001i | ||||
\(947\) | 8.75103e8 | 1.03041 | 0.515204 | − | 0.857068i | \(-0.327716\pi\) | ||||
0.515204 | + | 0.857068i | \(0.327716\pi\) | |||||||
\(948\) | 4.17741e7 | + | 3.33137e7i | 0.0490322 | + | 0.0391019i | ||||
\(949\) | −6.52808e6 | − | 4.33110e7i | −0.00763813 | − | 0.0506757i | ||||
\(950\) | 2.12396e6 | + | 9.30566e6i | 0.00247728 | + | 0.0108537i | ||||
\(951\) | −6.89532e7 | − | 1.01136e8i | −0.0801702 | − | 0.117588i | ||||
\(952\) | −3.14865e8 | + | 5.45363e8i | −0.364934 | + | 0.632084i | ||||
\(953\) | 3.20514e8 | − | 1.85049e8i | 0.370312 | − | 0.213800i | −0.303283 | − | 0.952901i | \(-0.598083\pi\) |
0.673595 | + | 0.739101i | \(0.264749\pi\) | |||||||
\(954\) | 5.98273e8 | − | 1.24233e9i | 0.689056 | − | 1.43084i | ||||
\(955\) | −5.98404e7 | + | 1.84583e7i | −0.0687043 | + | 0.0211925i | ||||
\(956\) | −1.50813e7 | + | 2.01247e8i | −0.0172610 | + | 0.230332i | ||||
\(957\) | −2.44241e6 | + | 1.07009e7i | −0.00278665 | + | 0.0122091i | ||||
\(958\) | −9.62163e8 | + | 3.77621e8i | −1.09434 | + | 0.429497i | ||||
\(959\) | 1.31235e7 | + | 1.75121e8i | 0.0148797 | + | 0.198555i | ||||
\(960\) | 8.67918e7 | + | 1.30818e7i | 0.0980991 | + | 0.0147861i | ||||
\(961\) | −1.41869e8 | + | 1.31635e8i | −0.159851 | + | 0.148320i | ||||
\(962\) | 3.57992e7 | − | 1.72400e7i | 0.0402113 | − | 0.0193647i | ||||
\(963\) | −1.44535e8 | − | 9.85422e7i | −0.161843 | − | 0.110343i | ||||
\(964\) | 9.38017e7 | + | 3.68145e7i | 0.104708 | + | 0.0410948i | ||||
\(965\) | 2.12798e8 | − | 6.89874e8i | 0.236802 | − | 0.767694i | ||||
\(966\) | 1.66903e8 | − | 1.79878e8i | 0.185153 | − | 0.199548i | ||||
\(967\) | 6.28211e7 | + | 7.87752e7i | 0.0694746 | + | 0.0871184i | 0.815354 | − | 0.578962i | \(-0.196542\pi\) |
−0.745880 | + | 0.666081i | \(0.767971\pi\) | |||||||
\(968\) | 5.25910e8 | − | 4.19400e8i | 0.579810 | − | 0.462383i | ||||
\(969\) | −7.82729e7 | − | 7.26266e7i | −0.0860280 | − | 0.0798223i | ||||
\(970\) | 1.36518e9 | + | 4.21104e8i | 1.49581 | + | 0.461396i | ||||
\(971\) | 2.35016e8 | − | 5.98812e8i | 0.256709 | − | 0.654083i | −0.743179 | − | 0.669093i | \(-0.766683\pi\) |
0.999887 | + | 0.0150102i | \(0.00477808\pi\) | |||||||
\(972\) | 1.20952e8 | − | 1.77404e8i | 0.131709 | − | 0.193181i | ||||
\(973\) | −3.44565e8 | − | 7.15496e8i | −0.374052 | − | 0.776727i | ||||
\(974\) | −1.39838e9 | − | 1.50710e9i | −1.51338 | − | 1.63104i | ||||
\(975\) | −62550.3 | + | 414994.i | −6.74863e−5 | + | 0.000447743i | ||||
\(976\) | 1.69250e9 | − | 1.26835e8i | 1.82045 | − | 0.136424i | ||||
\(977\) | 4.31176e7 | + | 1.09862e8i | 0.0462350 | + | 0.117805i | 0.952126 | − | 0.305706i | \(-0.0988926\pi\) |
−0.905891 | + | 0.423511i | \(0.860797\pi\) | |||||||
\(978\) | −4.34530e8 | − | 9.91785e7i | −0.464518 | − | 0.106023i | ||||
\(979\) | 1.99015e7 | + | 1.49141e6i | 0.0212099 | + | 0.00158946i | ||||
\(980\) | 4.56318e7 | + | 1.47935e8i | 0.0484830 | + | 0.157178i | ||||
\(981\) | −7.46084e8 | − | 3.59295e8i | −0.790279 | − | 0.380578i | ||||
\(982\) | −3.73254e8 | − | 6.46494e8i | −0.394157 | − | 0.682700i | ||||
\(983\) | −7.85697e8 | − | 4.53622e8i | −0.827170 | − | 0.477567i | 0.0257130 | − | 0.999669i | \(-0.491814\pi\) |
−0.852883 | + | 0.522103i | \(0.825148\pi\) | |||||||
\(984\) | 7.98367e7 | − | 5.44318e7i | 0.0837949 | − | 0.0571304i | ||||
\(985\) | 1.67820e9 | − | 3.83038e8i | 1.75604 | − | 0.400805i | ||||
\(986\) | 9.06092e8 | − | 1.36571e8i | 0.945239 | − | 0.142472i | ||||
\(987\) | 1.65859e8 | − | 2.07981e8i | 0.172500 | − | 0.216308i | ||||
\(988\) | 9.91845e6i | 0.0102843i | ||||||||
\(989\) | −1.08844e9 | + | 7.45087e8i | −1.12517 | + | 0.770226i | ||||
\(990\) | 9.19401e7 | 0.0947544 | ||||||||
\(991\) | 9.77502e8 | + | 7.79532e8i | 1.00438 | + | 0.800964i | 0.980052 | − | 0.198740i | \(-0.0636849\pi\) |
0.0243250 | + | 0.999704i | \(0.492256\pi\) | |||||||
\(992\) | −1.10272e8 | − | 7.31608e8i | −0.112962 | − | 0.749452i | ||||
\(993\) | −2.78644e7 | − | 1.22082e8i | −0.0284578 | − | 0.124682i | ||||
\(994\) | 1.05328e8 | + | 1.54488e8i | 0.107247 | + | 0.157302i | ||||
\(995\) | 5.29418e7 | − | 9.16980e7i | 0.0537440 | − | 0.0930873i | ||||
\(996\) | 6.28001e6 | − | 3.62577e6i | 0.00635598 | − | 0.00366963i | ||||
\(997\) | −3.26378e8 | + | 6.77731e8i | −0.329333 | + | 0.683868i | −0.998229 | − | 0.0594886i | \(-0.981053\pi\) |
0.668896 | + | 0.743356i | \(0.266767\pi\) | |||||||
\(998\) | 1.65628e9 | − | 5.10894e8i | 1.66626 | − | 0.513972i | ||||
\(999\) | 1.70359e7 | − | 2.27328e8i | 0.0170871 | − | 0.228011i |
(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.19.17 | ✓ | 252 | |
43.34 | odd | 42 | inner | 43.7.h.a.34.17 | yes | 252 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.7.h.a.19.17 | ✓ | 252 | 1.1 | even | 1 | trivial | |
43.7.h.a.34.17 | yes | 252 | 43.34 | odd | 42 | inner |