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 | 18.3 | ||
Character | \(\chi\) | \(=\) | 43.18 |
Dual form | 43.7.h.a.12.3 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{29}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −6.07636 | + | 12.6177i | −0.759545 | + | 1.57721i | 0.0559413 | + | 0.998434i | \(0.482184\pi\) |
−0.815486 | + | 0.578777i | \(0.803530\pi\) | |||||||
\(3\) | 28.9804 | − | 42.5064i | 1.07335 | − | 1.57431i | 0.285562 | − | 0.958360i | \(-0.407820\pi\) |
0.787785 | − | 0.615951i | \(-0.211228\pi\) | |||||||
\(4\) | −82.3806 | − | 103.302i | −1.28720 | − | 1.61409i | ||||
\(5\) | 88.1711 | + | 95.0259i | 0.705369 | + | 0.760207i | 0.979491 | − | 0.201488i | \(-0.0645777\pi\) |
−0.274122 | + | 0.961695i | \(0.588387\pi\) | |||||||
\(6\) | 360.237 | + | 623.949i | 1.66777 | + | 2.88865i | ||||
\(7\) | −445.910 | − | 257.446i | −1.30003 | − | 0.750572i | −0.319620 | − | 0.947546i | \(-0.603555\pi\) |
−0.980409 | + | 0.196974i | \(0.936889\pi\) | |||||||
\(8\) | 930.184 | − | 212.309i | 1.81677 | − | 0.414665i | ||||
\(9\) | −700.598 | − | 1785.09i | −0.961040 | − | 2.44869i | ||||
\(10\) | −1734.77 | + | 535.104i | −1.73477 | + | 0.535104i | ||||
\(11\) | −442.766 | + | 555.211i | −0.332656 | + | 0.417138i | −0.919826 | − | 0.392326i | \(-0.871671\pi\) |
0.587170 | + | 0.809464i | \(0.300242\pi\) | |||||||
\(12\) | −6778.41 | + | 507.972i | −3.92269 | + | 0.293965i | ||||
\(13\) | −2677.75 | − | 825.978i | −1.21882 | − | 0.375957i | −0.382377 | − | 0.924006i | \(-0.624894\pi\) |
−0.836446 | + | 0.548049i | \(0.815371\pi\) | |||||||
\(14\) | 5957.88 | − | 4062.02i | 2.17124 | − | 1.48033i | ||||
\(15\) | 6594.44 | − | 993.952i | 1.95391 | − | 0.294504i | ||||
\(16\) | −1091.61 | + | 4782.65i | −0.266506 | + | 1.16764i | ||||
\(17\) | −1322.65 | − | 1227.24i | −0.269215 | − | 0.249795i | 0.533999 | − | 0.845485i | \(-0.320688\pi\) |
−0.803215 | + | 0.595689i | \(0.796879\pi\) | |||||||
\(18\) | 26780.8 | + | 2006.95i | 4.59205 | + | 0.344127i | ||||
\(19\) | −1750.74 | − | 687.114i | −0.255247 | − | 0.100177i | 0.234268 | − | 0.972172i | \(-0.424731\pi\) |
−0.489514 | + | 0.871995i | \(0.662826\pi\) | |||||||
\(20\) | 2552.77 | − | 16936.5i | 0.319096 | − | 2.11707i | ||||
\(21\) | −23865.7 | + | 11493.1i | −2.57702 | + | 1.24103i | ||||
\(22\) | −4315.07 | − | 8960.34i | −0.405247 | − | 0.841504i | ||||
\(23\) | 15963.4 | + | 2406.10i | 1.31203 | + | 0.197756i | 0.767533 | − | 0.641009i | \(-0.221484\pi\) |
0.544493 | + | 0.838765i | \(0.316722\pi\) | |||||||
\(24\) | 17932.6 | − | 45691.6i | 1.29721 | − | 3.30523i | ||||
\(25\) | −88.1112 | + | 1175.76i | −0.00563912 | + | 0.0752488i | ||||
\(26\) | 26692.9 | − | 28768.1i | 1.51871 | − | 1.63679i | ||||
\(27\) | −59617.9 | − | 13607.4i | −3.02891 | − | 0.691328i | ||||
\(28\) | 10139.6 | + | 67271.9i | 0.461899 | + | 3.06450i | ||||
\(29\) | −8812.34 | − | 12925.3i | −0.361325 | − | 0.529966i | 0.601933 | − | 0.798547i | \(-0.294398\pi\) |
−0.963257 | + | 0.268581i | \(0.913445\pi\) | |||||||
\(30\) | −27528.8 | + | 89246.2i | −1.01958 | + | 3.30541i | ||||
\(31\) | −1652.05 | − | 22045.1i | −0.0554548 | − | 0.739992i | −0.953750 | − | 0.300600i | \(-0.902813\pi\) |
0.898295 | − | 0.439392i | \(-0.144806\pi\) | |||||||
\(32\) | −5972.19 | − | 4762.66i | −0.182257 | − | 0.145345i | ||||
\(33\) | 10768.5 | + | 34910.6i | 0.299649 | + | 0.971438i | ||||
\(34\) | 23521.9 | − | 9231.67i | 0.598461 | − | 0.234879i | ||||
\(35\) | −14852.3 | − | 65072.3i | −0.346410 | − | 1.51772i | ||||
\(36\) | −126688. | + | 219430.i | −2.71537 | + | 4.70315i | ||||
\(37\) | 25271.7 | − | 14590.6i | 0.498917 | − | 0.288050i | −0.229349 | − | 0.973344i | \(-0.573660\pi\) |
0.728266 | + | 0.685294i | \(0.240326\pi\) | |||||||
\(38\) | 19307.9 | − | 17915.1i | 0.351871 | − | 0.326489i | ||||
\(39\) | −112712. | + | 89884.6i | −1.90009 | + | 1.51527i | ||||
\(40\) | 102190. | + | 69672.1i | 1.59672 | + | 1.08863i | ||||
\(41\) | −19275.5 | − | 9282.60i | −0.279676 | − | 0.134685i | 0.288788 | − | 0.957393i | \(-0.406748\pi\) |
−0.568464 | + | 0.822708i | \(0.692462\pi\) | |||||||
\(42\) | − | 370967.i | − | 5.00711i | ||||||
\(43\) | 2035.33 | − | 79480.9i | 0.0255994 | − | 0.999672i | ||||
\(44\) | 93829.6 | 1.10149 | ||||||||
\(45\) | 107858. | − | 223969.i | 1.18362 | − | 2.45782i | ||||
\(46\) | −127359. | + | 186801.i | −1.30845 | + | 1.91914i | ||||
\(47\) | 90257.9 | + | 113180.i | 0.869344 | + | 1.09012i | 0.995179 | + | 0.0980722i | \(0.0312676\pi\) |
−0.125835 | + | 0.992051i | \(0.540161\pi\) | |||||||
\(48\) | 171658. | + | 185003.i | 1.55217 | + | 1.67285i | ||||
\(49\) | 73732.6 | + | 127709.i | 0.626716 | + | 1.08550i | ||||
\(50\) | −14300.0 | − | 8256.11i | −0.114400 | − | 0.0660489i | ||||
\(51\) | −90496.8 | + | 20655.3i | −0.682217 | + | 0.155712i | ||||
\(52\) | 135270. | + | 344662.i | 0.962035 | + | 2.45122i | ||||
\(53\) | −117667. | + | 36295.4i | −0.790362 | + | 0.243794i | −0.663549 | − | 0.748132i | \(-0.730951\pi\) |
−0.126812 | + | 0.991927i | \(0.540475\pi\) | |||||||
\(54\) | 533954. | − | 669557.i | 3.39096 | − | 4.25213i | ||||
\(55\) | −91798.5 | + | 6879.35i | −0.551757 | + | 0.0413484i | ||||
\(56\) | −469436. | − | 144802.i | −2.67308 | − | 0.824537i | ||||
\(57\) | −79943.7 | + | 54504.7i | −0.431678 | + | 0.294313i | ||||
\(58\) | 216635. | − | 32652.4i | 1.11031 | − | 0.167352i | ||||
\(59\) | −25463.8 | + | 111564.i | −0.123985 | + | 0.543212i | 0.874338 | + | 0.485317i | \(0.161296\pi\) |
−0.998323 | + | 0.0578949i | \(0.981561\pi\) | |||||||
\(60\) | −645931. | − | 599336.i | −2.99042 | − | 2.77470i | ||||
\(61\) | 123278. | + | 9238.42i | 0.543121 | + | 0.0407013i | 0.343466 | − | 0.939165i | \(-0.388399\pi\) |
0.199655 | + | 0.979866i | \(0.436018\pi\) | |||||||
\(62\) | 288197. | + | 113109.i | 1.20924 | + | 0.474593i | ||||
\(63\) | −147162. | + | 976358.i | −0.588538 | + | 3.90470i | ||||
\(64\) | −186486. | + | 89807.2i | −0.711389 | + | 0.342587i | ||||
\(65\) | −157611. | − | 327283.i | −0.573915 | − | 1.19175i | ||||
\(66\) | −505924. | − | 76255.8i | −1.75976 | − | 0.265241i | ||||
\(67\) | −19257.8 | + | 49068.0i | −0.0640297 | + | 0.163145i | −0.959308 | − | 0.282363i | \(-0.908882\pi\) |
0.895278 | + | 0.445508i | \(0.146977\pi\) | |||||||
\(68\) | −17815.7 | + | 237734.i | −0.0566599 | + | 0.756074i | ||||
\(69\) | 564901. | − | 608818.i | 1.71959 | − | 1.85328i | ||||
\(70\) | 911310. | + | 208000.i | 2.65688 | + | 0.606415i | ||||
\(71\) | 64115.7 | + | 425380.i | 0.179139 | + | 1.18851i | 0.879917 | + | 0.475128i | \(0.157598\pi\) |
−0.700778 | + | 0.713380i | \(0.747164\pi\) | |||||||
\(72\) | −1.03068e6 | − | 1.51172e6i | −2.76137 | − | 4.05019i | ||||
\(73\) | 30832.3 | − | 99955.7i | 0.0792569 | − | 0.256944i | −0.907269 | − | 0.420551i | \(-0.861837\pi\) |
0.986526 | + | 0.163607i | \(0.0523129\pi\) | |||||||
\(74\) | 30540.0 | + | 407528.i | 0.0753657 | + | 1.00568i | ||||
\(75\) | 47423.9 | + | 37819.3i | 0.112412 | + | 0.0896458i | ||||
\(76\) | 73246.5 | + | 237459.i | 0.166858 | + | 0.540939i | ||||
\(77\) | 340370. | − | 133586.i | 0.745555 | − | 0.292609i | ||||
\(78\) | −449259. | − | 1.96833e6i | −0.946701 | − | 4.14777i | ||||
\(79\) | 288362. | − | 499458.i | 0.584867 | − | 1.01302i | −0.410025 | − | 0.912074i | \(-0.634480\pi\) |
0.994892 | − | 0.100945i | \(-0.0321866\pi\) | |||||||
\(80\) | −550724. | + | 317961.i | −1.07563 | + | 0.621017i | ||||
\(81\) | −1.28137e6 | + | 1.18893e6i | −2.41112 | + | 2.23719i | ||||
\(82\) | 234250. | − | 186808.i | 0.424852 | − | 0.338808i | ||||
\(83\) | −209542. | − | 142863.i | −0.366468 | − | 0.249854i | 0.366059 | − | 0.930592i | \(-0.380707\pi\) |
−0.732527 | + | 0.680738i | \(0.761659\pi\) | |||||||
\(84\) | 3.15334e6 | + | 1.51857e6i | 5.32025 | + | 2.56210i | ||||
\(85\) | − | 233894.i | − | 0.380857i | ||||||
\(86\) | 990498. | + | 508636.i | 1.55725 | + | 0.799671i | ||||
\(87\) | −804794. | −1.22216 | ||||||||
\(88\) | −293978. | + | 610451.i | −0.431386 | + | 0.895783i | ||||
\(89\) | 395478. | − | 580060.i | 0.560987 | − | 0.822816i | −0.436036 | − | 0.899929i | \(-0.643618\pi\) |
0.997022 | + | 0.0771130i | \(0.0245702\pi\) | |||||||
\(90\) | 2.17059e6 | + | 2.72183e6i | 2.97748 | + | 3.73365i | ||||
\(91\) | 981392. | + | 1.05769e6i | 1.30232 | + | 1.40357i | ||||
\(92\) | −1.06652e6 | − | 1.84727e6i | −1.36964 | − | 2.37228i | ||||
\(93\) | −984935. | − | 568653.i | −1.22450 | − | 0.706966i | ||||
\(94\) | −1.97651e6 | + | 451125.i | −2.37966 | + | 0.543142i | ||||
\(95\) | −89070.9 | − | 226949.i | −0.103888 | − | 0.264702i | ||||
\(96\) | −375520. | + | 115832.i | −0.424443 | + | 0.130923i | ||||
\(97\) | 898154. | − | 1.12625e6i | 0.984092 | − | 1.23401i | 0.0118755 | − | 0.999929i | \(-0.496220\pi\) |
0.972217 | − | 0.234083i | \(-0.0752088\pi\) | |||||||
\(98\) | −2.05941e6 | + | 154332.i | −2.18809 | + | 0.163975i | ||||
\(99\) | 1.30130e6 | + | 401399.i | 1.34114 | + | 0.413686i | ||||
\(100\) | 128717. | − | 87757.9i | 0.128717 | − | 0.0877579i | ||||
\(101\) | −872557. | + | 131517.i | −0.846895 | + | 0.127649i | −0.558133 | − | 0.829752i | \(-0.688482\pi\) |
−0.288763 | + | 0.957401i | \(0.593244\pi\) | |||||||
\(102\) | 289269. | − | 1.26737e6i | 0.272584 | − | 1.19427i | ||||
\(103\) | −100349. | − | 93110.1i | −0.0918334 | − | 0.0852089i | 0.632920 | − | 0.774217i | \(-0.281856\pi\) |
−0.724754 | + | 0.689008i | \(0.758047\pi\) | |||||||
\(104\) | −2.66617e6 | − | 199802.i | −2.37021 | − | 0.177623i | ||||
\(105\) | −3.19641e6 | − | 1.25450e6i | −2.76118 | − | 1.08368i | ||||
\(106\) | 257021. | − | 1.70522e6i | 0.215800 | − | 1.43174i | ||||
\(107\) | −937814. | + | 451627.i | −0.765536 | + | 0.368663i | −0.775549 | − | 0.631287i | \(-0.782527\pi\) |
0.0100134 | + | 0.999950i | \(0.496813\pi\) | |||||||
\(108\) | 3.50569e6 | + | 7.27963e6i | 2.78293 | + | 5.77881i | ||||
\(109\) | 1.18650e6 | + | 178836.i | 0.916195 | + | 0.138094i | 0.590181 | − | 0.807271i | \(-0.299056\pi\) |
0.326014 | + | 0.945365i | \(0.394294\pi\) | |||||||
\(110\) | 470999. | − | 1.20009e6i | 0.353869 | − | 0.901642i | ||||
\(111\) | 112188. | − | 1.49705e6i | 0.0820311 | − | 1.09463i | ||||
\(112\) | 1.71803e6 | − | 1.85160e6i | 1.22286 | − | 1.31793i | ||||
\(113\) | 179900. | + | 41061.0i | 0.124680 | + | 0.0284573i | 0.284405 | − | 0.958704i | \(-0.408204\pi\) |
−0.159726 | + | 0.987161i | \(0.551061\pi\) | |||||||
\(114\) | −201957. | − | 1.33989e6i | −0.136315 | − | 0.904391i | ||||
\(115\) | 1.17887e6 | + | 1.72909e6i | 0.775127 | + | 1.13690i | ||||
\(116\) | −609246. | + | 1.97513e6i | −0.390318 | + | 1.26538i | ||||
\(117\) | 401581. | + | 5.35872e6i | 0.250735 | + | 3.34583i | ||||
\(118\) | −1.25296e6 | − | 999200.i | −0.762588 | − | 0.608144i | ||||
\(119\) | 273835. | + | 887753.i | 0.162498 | + | 0.526807i | ||||
\(120\) | 5.92302e6 | − | 2.32461e6i | 3.42767 | − | 1.34526i | ||||
\(121\) | 281992. | + | 1.23549e6i | 0.159177 | + | 0.697401i | ||||
\(122\) | −865649. | + | 1.49935e6i | −0.476719 | + | 0.825702i | ||||
\(123\) | −953182. | + | 550320.i | −0.512224 | + | 0.295733i | ||||
\(124\) | −2.14121e6 | + | 1.98675e6i | −1.12304 | + | 1.04202i | ||||
\(125\) | 1.46408e6 | − | 1.16757e6i | 0.749611 | − | 0.597795i | ||||
\(126\) | −1.14252e7 | − | 7.78954e6i | −5.71151 | − | 3.89404i | ||||
\(127\) | 2.31137e6 | + | 1.11310e6i | 1.12839 | + | 0.543403i | 0.902474 | − | 0.430744i | \(-0.141749\pi\) |
0.225914 | + | 0.974147i | \(0.427463\pi\) | |||||||
\(128\) | − | 3.38761e6i | − | 1.61534i | ||||||
\(129\) | −3.31946e6 | − | 2.38990e6i | −1.54632 | − | 1.11330i | ||||
\(130\) | 5.08726e6 | 2.31555 | ||||||||
\(131\) | 935115. | − | 1.94179e6i | 0.415960 | − | 0.863749i | −0.582735 | − | 0.812662i | \(-0.698017\pi\) |
0.998694 | − | 0.0510865i | \(-0.0162684\pi\) | |||||||
\(132\) | 2.71922e6 | − | 3.98836e6i | 1.18228 | − | 1.73409i | ||||
\(133\) | 603776. | + | 757111.i | 0.256638 | + | 0.321814i | ||||
\(134\) | −502107. | − | 541143.i | −0.208681 | − | 0.224904i | ||||
\(135\) | −3.96352e6 | − | 6.86503e6i | −1.61094 | − | 2.79024i | ||||
\(136\) | −1.49087e6 | − | 860753.i | −0.592683 | − | 0.342186i | ||||
\(137\) | 511659. | − | 116783.i | 0.198984 | − | 0.0454169i | −0.121867 | − | 0.992546i | \(-0.538888\pi\) |
0.320851 | + | 0.947130i | \(0.396031\pi\) | |||||||
\(138\) | 4.24934e6 | + | 1.08271e7i | 1.61690 | + | 4.11980i | ||||
\(139\) | −4.83476e6 | + | 1.49133e6i | −1.80024 | + | 0.555301i | −0.999069 | − | 0.0431323i | \(-0.986266\pi\) |
−0.801173 | + | 0.598433i | \(0.795790\pi\) | |||||||
\(140\) | −5.49855e6 | + | 6.89496e6i | −2.00384 | + | 2.51274i | ||||
\(141\) | 7.42658e6 | − | 556545.i | 2.64930 | − | 0.198538i | ||||
\(142\) | −5.75690e6 | − | 1.77577e6i | −2.01059 | − | 0.620185i | ||||
\(143\) | 1.64421e6 | − | 1.12100e6i | 0.562275 | − | 0.383353i | ||||
\(144\) | 9.30226e6 | − | 1.40209e6i | 3.11531 | − | 0.469557i | ||||
\(145\) | 451247. | − | 1.97704e6i | 0.148017 | − | 0.648503i | ||||
\(146\) | 1.07386e6 | + | 996399.i | 0.345056 | + | 0.320166i | ||||
\(147\) | 7.56523e6 | + | 566935.i | 2.38161 | + | 0.178477i | ||||
\(148\) | −3.58913e6 | − | 1.40863e6i | −1.10714 | − | 0.434522i | ||||
\(149\) | 725753. | − | 4.81506e6i | 0.219397 | − | 1.45560i | −0.559699 | − | 0.828696i | \(-0.689083\pi\) |
0.779095 | − | 0.626905i | \(-0.215679\pi\) | |||||||
\(150\) | −765357. | + | 368576.i | −0.226772 | + | 0.109208i | ||||
\(151\) | −1.77751e6 | − | 3.69103e6i | −0.516274 | − | 1.07205i | −0.982305 | − | 0.187286i | \(-0.940031\pi\) |
0.466031 | − | 0.884768i | \(-0.345683\pi\) | |||||||
\(152\) | −1.77439e6 | − | 267446.i | −0.505263 | − | 0.0761562i | ||||
\(153\) | −1.26410e6 | + | 3.22087e6i | −0.352945 | + | 0.899288i | ||||
\(154\) | −382672. | + | 5.10640e6i | −0.104777 | + | 1.39815i | ||||
\(155\) | 1.94919e6 | − | 2.10073e6i | 0.523431 | − | 0.564125i | ||||
\(156\) | 1.85705e7 | + | 4.23859e6i | 4.89159 | + | 1.11647i | ||||
\(157\) | −719088. | − | 4.77084e6i | −0.185816 | − | 1.23281i | −0.866104 | − | 0.499864i | \(-0.833383\pi\) |
0.680288 | − | 0.732945i | \(-0.261855\pi\) | |||||||
\(158\) | 4.54981e6 | + | 6.67335e6i | 1.15351 | + | 1.69189i | ||||
\(159\) | −1.86724e6 | + | 6.05344e6i | −0.464524 | + | 1.50595i | ||||
\(160\) | −73998.5 | − | 987441.i | −0.0180660 | − | 0.241074i | ||||
\(161\) | −6.49881e6 | − | 5.18263e6i | −1.55724 | − | 1.24186i | ||||
\(162\) | −7.21556e6 | − | 2.33923e7i | −1.69717 | − | 5.50209i | ||||
\(163\) | −2.36530e6 | + | 928313.i | −0.546165 | + | 0.214354i | −0.622349 | − | 0.782740i | \(-0.713822\pi\) |
0.0761840 | + | 0.997094i | \(0.475726\pi\) | |||||||
\(164\) | 629017. | + | 2.75590e6i | 0.142604 | + | 0.624788i | ||||
\(165\) | −2.36794e6 | + | 4.10139e6i | −0.527131 | + | 0.913018i | ||||
\(166\) | 3.07585e6 | − | 1.77584e6i | 0.672421 | − | 0.388223i | ||||
\(167\) | −5.40254e6 | + | 5.01283e6i | −1.15998 | + | 1.07630i | −0.164020 | + | 0.986457i | \(0.552446\pi\) |
−0.995956 | + | 0.0898428i | \(0.971364\pi\) | |||||||
\(168\) | −1.97594e7 | + | 1.57576e7i | −4.16722 | + | 3.32325i | ||||
\(169\) | 2.50004e6 | + | 1.70450e6i | 0.517948 | + | 0.353131i | ||||
\(170\) | 2.95120e6 | + | 1.42122e6i | 0.600692 | + | 0.289278i | ||||
\(171\) | 3.60662e6i | 0.721294i | ||||||||
\(172\) | −8.37821e6 | + | 6.33743e6i | −1.64652 | + | 1.24545i | ||||
\(173\) | 4.87240e6 | 0.941032 | 0.470516 | − | 0.882391i | \(-0.344068\pi\) | ||||
0.470516 | + | 0.882391i | \(0.344068\pi\) | |||||||
\(174\) | 4.89022e6 | − | 1.01546e7i | 0.928283 | − | 1.92760i | ||||
\(175\) | 341985. | − | 501600.i | 0.0638106 | − | 0.0935930i | ||||
\(176\) | −2.17205e6 | − | 2.72367e6i | −0.398412 | − | 0.499592i | ||||
\(177\) | 4.00425e6 | + | 4.31555e6i | 0.722106 | + | 0.778246i | ||||
\(178\) | 4.91595e6 | + | 8.51467e6i | 0.871660 | + | 1.50976i | ||||
\(179\) | −2.02372e6 | − | 1.16839e6i | −0.352850 | − | 0.203718i | 0.313090 | − | 0.949724i | \(-0.398636\pi\) |
−0.665940 | + | 0.746005i | \(0.731969\pi\) | |||||||
\(180\) | −3.20218e7 | + | 7.30876e6i | −5.49070 | + | 1.25322i | ||||
\(181\) | −2.72759e6 | − | 6.94978e6i | −0.459984 | − | 1.17202i | −0.953261 | − | 0.302148i | \(-0.902296\pi\) |
0.493277 | − | 0.869872i | \(-0.335799\pi\) | |||||||
\(182\) | −1.93089e7 | + | 5.95600e6i | −3.20290 | + | 0.987963i | ||||
\(183\) | 3.96534e6 | − | 4.97238e6i | 0.647034 | − | 0.811355i | ||||
\(184\) | 1.53598e7 | − | 1.15106e6i | 2.46565 | − | 0.184775i | ||||
\(185\) | 3.61471e6 | + | 1.11499e6i | 0.570898 | + | 0.176099i | ||||
\(186\) | 1.31599e7 | − | 8.97227e6i | 2.04510 | − | 1.39432i | ||||
\(187\) | 1.26701e6 | − | 190970.i | 0.193755 | − | 0.0292039i | ||||
\(188\) | 4.25620e6 | − | 1.86476e7i | 0.640544 | − | 2.80641i | ||||
\(189\) | 2.30811e7 | + | 2.14161e7i | 3.41877 | + | 3.17216i | ||||
\(190\) | 3.40480e6 | + | 255154.i | 0.496398 | + | 0.0371999i | ||||
\(191\) | 339663. | + | 133308.i | 0.0487471 | + | 0.0191318i | 0.389589 | − | 0.920989i | \(-0.372617\pi\) |
−0.340842 | + | 0.940121i | \(0.610712\pi\) | |||||||
\(192\) | −1.58707e6 | + | 1.05295e7i | −0.224229 | + | 1.48766i | ||||
\(193\) | 3.98902e6 | − | 1.92101e6i | 0.554874 | − | 0.267213i | −0.135364 | − | 0.990796i | \(-0.543220\pi\) |
0.690238 | + | 0.723583i | \(0.257506\pi\) | |||||||
\(194\) | 8.75316e6 | + | 1.81761e7i | 1.19884 | + | 2.48941i | ||||
\(195\) | −1.84793e7 | − | 2.78530e6i | −2.49219 | − | 0.375637i | ||||
\(196\) | 7.11841e6 | − | 1.81374e7i | 0.945398 | − | 2.40884i | ||||
\(197\) | −271846. | + | 3.62753e6i | −0.0355569 | + | 0.474474i | 0.950795 | + | 0.309822i | \(0.100269\pi\) |
−0.986352 | + | 0.164653i | \(0.947350\pi\) | |||||||
\(198\) | −1.29719e7 | + | 1.39804e7i | −1.67112 | + | 1.80104i | ||||
\(199\) | −1.28570e7 | − | 2.93452e6i | −1.63147 | − | 0.372372i | −0.693873 | − | 0.720097i | \(-0.744097\pi\) |
−0.937597 | + | 0.347725i | \(0.886954\pi\) | |||||||
\(200\) | 167665. | + | 1.11238e6i | 0.0209581 | + | 0.139048i | ||||
\(201\) | 1.52761e6 | + | 2.24059e6i | 0.188115 | + | 0.275914i | ||||
\(202\) | 3.64253e6 | − | 1.18088e7i | 0.441926 | − | 1.43269i | ||||
\(203\) | 601933. | + | 8.03224e6i | 0.0719548 | + | 0.960171i | ||||
\(204\) | 9.58890e6 | + | 7.64690e6i | 1.12948 | + | 0.900730i | ||||
\(205\) | −817457. | − | 2.65013e6i | −0.0948863 | − | 0.307614i | ||||
\(206\) | 1.78459e6 | − | 700400.i | 0.204144 | − | 0.0801206i | ||||
\(207\) | −6.88883e6 | − | 3.01819e7i | −0.776666 | − | 3.40280i | ||||
\(208\) | 6.87342e6 | − | 1.19051e7i | 0.763806 | − | 1.32295i | ||||
\(209\) | 1.15666e6 | − | 667797.i | 0.126697 | − | 0.0731486i | ||||
\(210\) | 3.52514e7 | − | 3.27086e7i | 3.80644 | − | 3.53186i | ||||
\(211\) | −674733. | + | 538081.i | −0.0718264 | + | 0.0572797i | −0.658745 | − | 0.752366i | \(-0.728912\pi\) |
0.586918 | + | 0.809646i | \(0.300341\pi\) | |||||||
\(212\) | 1.34428e7 | + | 9.16516e6i | 1.41086 | + | 0.961906i | ||||
\(213\) | 1.99395e7 | + | 9.60234e6i | 2.06336 | + | 0.993661i | ||||
\(214\) | − | 1.45773e7i | − | 1.48743i | ||||||
\(215\) | 7.73220e6 | − | 6.81451e6i | 0.778015 | − | 0.685677i | ||||
\(216\) | −5.83446e7 | −5.78948 | ||||||||
\(217\) | −4.93876e6 | + | 1.02554e7i | −0.483325 | + | 1.00363i | ||||
\(218\) | −9.46609e6 | + | 1.38842e7i | −0.913695 | + | 1.34014i | ||||
\(219\) | −3.35523e6 | − | 4.20732e6i | −0.319440 | − | 0.400565i | ||||
\(220\) | 8.27306e6 | + | 8.91624e6i | 0.776959 | + | 0.837363i | ||||
\(221\) | 2.52807e6 | + | 4.37874e6i | 0.234214 | + | 0.405670i | ||||
\(222\) | 1.82076e7 | + | 1.05122e7i | 1.66415 | + | 0.960800i | ||||
\(223\) | 1.59538e7 | − | 3.64136e6i | 1.43863 | − | 0.328359i | 0.569115 | − | 0.822258i | \(-0.307286\pi\) |
0.869519 | + | 0.493899i | \(0.164429\pi\) | |||||||
\(224\) | 1.43693e6 | + | 3.66123e6i | 0.127847 | + | 0.325749i | ||||
\(225\) | 2.16058e6 | − | 666450.i | 0.189680 | − | 0.0585086i | ||||
\(226\) | −1.61123e6 | + | 2.02042e6i | −0.139583 | + | 0.175032i | ||||
\(227\) | −2.67328e6 | + | 200335.i | −0.228542 | + | 0.0171269i | −0.188509 | − | 0.982071i | \(-0.560365\pi\) |
−0.0400334 | + | 0.999198i | \(0.512746\pi\) | |||||||
\(228\) | 1.22162e7 | + | 3.76821e6i | 1.03070 | + | 0.317930i | ||||
\(229\) | 1.36697e6 | − | 931986.i | 0.113829 | − | 0.0776073i | −0.505067 | − | 0.863080i | \(-0.668532\pi\) |
0.618897 | + | 0.785473i | \(0.287580\pi\) | |||||||
\(230\) | −2.89803e7 | + | 4.36808e6i | −2.38188 | + | 0.359011i | ||||
\(231\) | 4.18582e6 | − | 1.83393e7i | 0.339582 | − | 1.48781i | ||||
\(232\) | −1.09413e7 | − | 1.01520e7i | −0.876200 | − | 0.812995i | ||||
\(233\) | −1.31724e6 | − | 98713.5i | −0.104135 | − | 0.00780385i | 0.0225606 | − | 0.999745i | \(-0.492818\pi\) |
−0.126696 | + | 0.991942i | \(0.540437\pi\) | |||||||
\(234\) | −7.00549e7 | − | 2.74945e7i | −5.46752 | − | 2.14584i | ||||
\(235\) | −2.79687e6 | + | 1.85560e7i | −0.215511 | + | 1.42982i | ||||
\(236\) | 1.36225e7 | − | 6.56027e6i | 1.03639 | − | 0.499098i | ||||
\(237\) | −1.28733e7 | − | 2.67317e7i | −0.967042 | − | 2.00808i | ||||
\(238\) | −1.28653e7 | − | 1.93913e6i | −0.954310 | − | 0.143839i | ||||
\(239\) | 5.13551e6 | − | 1.30851e7i | 0.376175 | − | 0.958479i | −0.609945 | − | 0.792444i | \(-0.708808\pi\) |
0.986120 | − | 0.166035i | \(-0.0530964\pi\) | |||||||
\(240\) | −2.44482e6 | + | 3.26239e7i | −0.176854 | + | 2.35995i | ||||
\(241\) | −1.49237e7 | + | 1.60839e7i | −1.06617 | + | 1.14906i | −0.0778000 | + | 0.996969i | \(0.524790\pi\) |
−0.988367 | + | 0.152086i | \(0.951401\pi\) | |||||||
\(242\) | −1.73025e7 | − | 3.94918e6i | −1.22085 | − | 0.278651i | ||||
\(243\) | 6.75866e6 | + | 4.48408e7i | 0.471023 | + | 3.12503i | ||||
\(244\) | −9.20137e6 | − | 1.34959e7i | −0.633407 | − | 0.929038i | ||||
\(245\) | −5.63453e6 | + | 1.82667e7i | −0.383142 | + | 1.24212i | ||||
\(246\) | −1.15189e6 | − | 1.53709e7i | −0.0773758 | − | 1.03251i | ||||
\(247\) | 4.12050e6 | + | 3.28599e6i | 0.273438 | + | 0.218060i | ||||
\(248\) | −6.21708e6 | − | 2.01553e7i | −0.407597 | − | 1.32140i | ||||
\(249\) | −1.21452e7 | + | 4.76664e6i | −0.786695 | + | 0.308755i | ||||
\(250\) | 5.83571e6 | + | 2.55679e7i | 0.373485 | + | 1.63635i | ||||
\(251\) | 1.12888e7 | − | 1.95527e7i | 0.713881 | − | 1.23648i | −0.249508 | − | 0.968373i | \(-0.580269\pi\) |
0.963389 | − | 0.268106i | \(-0.0863977\pi\) | |||||||
\(252\) | 1.12983e8 | − | 6.52307e7i | 7.06011 | − | 4.07615i | ||||
\(253\) | −8.40395e6 | + | 7.79773e6i | −0.518946 | + | 0.481511i | ||||
\(254\) | −2.80894e7 | + | 2.24006e7i | −1.71412 | + | 1.36697i | ||||
\(255\) | −9.94199e6 | − | 6.77833e6i | −0.599588 | − | 0.408792i | ||||
\(256\) | 3.08086e7 | + | 1.48366e7i | 1.83634 | + | 0.884333i | ||||
\(257\) | 1.16683e7i | 0.687397i | 0.939080 | + | 0.343699i | \(0.111680\pi\) | ||||
−0.939080 | + | 0.343699i | \(0.888320\pi\) | |||||||
\(258\) | 5.03253e7 | − | 2.73621e7i | 2.93040 | − | 1.59327i | ||||
\(259\) | −1.50252e7 | −0.864809 | ||||||||
\(260\) | −2.08249e7 | + | 4.32433e7i | −1.18485 | + | 2.46036i | ||||
\(261\) | −1.68990e7 | + | 2.47863e7i | −0.950474 | + | 1.39409i | ||||
\(262\) | 1.88188e7 | + | 2.35980e7i | 1.04637 | + | 1.31211i | ||||
\(263\) | −1.78064e6 | − | 1.91908e6i | −0.0978835 | − | 0.105493i | 0.682210 | − | 0.731156i | \(-0.261019\pi\) |
−0.780093 | + | 0.625663i | \(0.784829\pi\) | |||||||
\(264\) | 1.74285e7 | + | 3.01870e7i | 0.947214 | + | 1.64062i | ||||
\(265\) | −1.38238e7 | − | 7.98117e6i | −0.742831 | − | 0.428873i | ||||
\(266\) | −1.32218e7 | + | 3.01778e6i | −0.702496 | + | 0.160340i | ||||
\(267\) | −1.31952e7 | − | 3.36207e7i | −0.693235 | − | 1.76633i | ||||
\(268\) | 6.65528e6 | − | 2.05288e6i | 0.345750 | − | 0.106650i | ||||
\(269\) | 1.94031e6 | − | 2.43307e6i | 0.0996813 | − | 0.124996i | −0.729489 | − | 0.683993i | \(-0.760242\pi\) |
0.829170 | + | 0.558996i | \(0.188813\pi\) | |||||||
\(270\) | 1.10705e8 | − | 8.29616e6i | 5.62437 | − | 0.421489i | ||||
\(271\) | −7.13930e6 | − | 2.20218e6i | −0.358714 | − | 0.110649i | 0.110160 | − | 0.993914i | \(-0.464864\pi\) |
−0.468873 | + | 0.883265i | \(0.655340\pi\) | |||||||
\(272\) | 7.31330e6 | − | 4.98613e6i | 0.363418 | − | 0.247774i | ||||
\(273\) | 7.33997e7 | − | 1.10632e7i | 3.60750 | − | 0.543743i | ||||
\(274\) | −1.63549e6 | + | 7.16557e6i | −0.0795055 | + | 0.348337i | ||||
\(275\) | −613783. | − | 569507.i | −0.0295132 | − | 0.0273843i | ||||
\(276\) | −1.09429e8 | − | 8.20056e6i | −5.20481 | − | 0.390047i | ||||
\(277\) | 7.83026e6 | + | 3.07315e6i | 0.368415 | + | 0.144592i | 0.542324 | − | 0.840170i | \(-0.317545\pi\) |
−0.173909 | + | 0.984762i | \(0.555640\pi\) | |||||||
\(278\) | 1.05607e7 | − | 7.00654e7i | 0.491537 | − | 3.26114i | ||||
\(279\) | −3.81952e7 | + | 1.83938e7i | −1.75872 | + | 0.846954i | ||||
\(280\) | −2.76308e7 | − | 5.73759e7i | −1.25869 | − | 2.61370i | ||||
\(281\) | −1.02017e6 | − | 153766.i | −0.0459784 | − | 0.00693013i | 0.126013 | − | 0.992029i | \(-0.459782\pi\) |
−0.171991 | + | 0.985098i | \(0.555020\pi\) | |||||||
\(282\) | −3.81042e7 | + | 9.70880e7i | −1.69913 | + | 4.32930i | ||||
\(283\) | −2.54149e6 | + | 3.39139e7i | −0.112132 | + | 1.49630i | 0.603243 | + | 0.797558i | \(0.293875\pi\) |
−0.715375 | + | 0.698741i | \(0.753744\pi\) | |||||||
\(284\) | 3.86607e7 | − | 4.16663e7i | 1.68778 | − | 1.81899i | ||||
\(285\) | −1.22281e7 | − | 2.79098e6i | −0.528231 | − | 0.120565i | ||||
\(286\) | 4.15366e6 | + | 2.75577e7i | 0.177555 | + | 1.17800i | ||||
\(287\) | 6.20537e6 | + | 9.10161e6i | 0.262496 | + | 0.385011i | ||||
\(288\) | −4.31770e6 | + | 1.39976e7i | −0.180748 | + | 0.585972i | ||||
\(289\) | −1.56052e6 | − | 2.08236e7i | −0.0646509 | − | 0.862706i | ||||
\(290\) | 2.22038e7 | + | 1.77069e7i | 0.910400 | + | 0.726020i | ||||
\(291\) | −2.18440e7 | − | 7.08164e7i | −0.886447 | − | 2.87379i | ||||
\(292\) | −1.28656e7 | + | 5.04938e6i | −0.516751 | + | 0.202810i | ||||
\(293\) | −3.94428e6 | − | 1.72810e7i | −0.156807 | − | 0.687015i | −0.990811 | − | 0.135257i | \(-0.956814\pi\) |
0.834004 | − | 0.551759i | \(-0.186043\pi\) | |||||||
\(294\) | −5.31224e7 | + | 9.20107e7i | −2.09043 | + | 3.62073i | ||||
\(295\) | −1.28467e7 | + | 7.41703e6i | −0.500409 | + | 0.288911i | ||||
\(296\) | 2.04096e7 | − | 1.89373e7i | 0.786972 | − | 0.730203i | ||||
\(297\) | 3.39518e7 | − | 2.70756e7i | 1.29596 | − | 1.03350i | ||||
\(298\) | 5.63449e7 | + | 3.84153e7i | 2.12915 | + | 1.45163i | ||||
\(299\) | −4.07588e7 | − | 1.96284e7i | −1.52478 | − | 0.734296i | ||||
\(300\) | − | 8.01456e6i | − | 0.296835i | ||||||
\(301\) | −2.13696e7 | + | 3.49173e7i | −0.783606 | + | 1.28039i | ||||
\(302\) | 5.73731e7 | 2.08299 | ||||||||
\(303\) | −1.96967e7 | + | 4.09007e7i | −0.708053 | + | 1.47029i | ||||
\(304\) | 5.19734e6 | − | 7.62310e6i | 0.184995 | − | 0.271338i | ||||
\(305\) | 9.99168e6 | + | 1.25292e7i | 0.352159 | + | 0.441594i | ||||
\(306\) | −3.29588e7 | − | 3.55211e7i | −1.15029 | − | 1.23972i | ||||
\(307\) | −3.09798e6 | − | 5.36585e6i | −0.107069 | − | 0.185449i | 0.807513 | − | 0.589850i | \(-0.200813\pi\) |
−0.914582 | + | 0.404402i | \(0.867480\pi\) | |||||||
\(308\) | −4.18395e7 | − | 2.41561e7i | −1.43197 | − | 0.826750i | ||||
\(309\) | −6.86592e6 | + | 1.56710e6i | −0.232714 | + | 0.0531156i | ||||
\(310\) | 1.46624e7 | + | 3.73591e7i | 0.492174 | + | 1.25404i | ||||
\(311\) | 2.87549e7 | − | 8.86970e6i | 0.955939 | − | 0.294868i | 0.222737 | − | 0.974879i | \(-0.428501\pi\) |
0.733202 | + | 0.680010i | \(0.238025\pi\) | |||||||
\(312\) | −8.57594e7 | + | 1.07539e8i | −2.82370 | + | 3.54080i | ||||
\(313\) | 3.80122e7 | − | 2.84862e6i | 1.23962 | − | 0.0928969i | 0.561270 | − | 0.827633i | \(-0.310313\pi\) |
0.678353 | + | 0.734736i | \(0.262694\pi\) | |||||||
\(314\) | 6.45664e7 | + | 1.99161e7i | 2.08554 | + | 0.643303i | ||||
\(315\) | −1.05755e8 | + | 7.21023e7i | −3.38351 | + | 2.30684i | ||||
\(316\) | −7.53504e7 | + | 1.13572e7i | −2.38795 | + | 0.359925i | ||||
\(317\) | 1.12125e7 | − | 4.91252e7i | 0.351986 | − | 1.54215i | −0.420603 | − | 0.907245i | \(-0.638182\pi\) |
0.772589 | − | 0.634906i | \(-0.218961\pi\) | |||||||
\(318\) | −6.50344e7 | − | 6.03431e7i | −2.02237 | − | 1.87649i | ||||
\(319\) | 1.10781e7 | + | 830188.i | 0.341266 | + | 0.0255743i | ||||
\(320\) | −2.49767e7 | − | 9.80264e6i | −0.762229 | − | 0.299153i | ||||
\(321\) | −7.98114e6 | + | 5.29514e7i | −0.241296 | + | 1.60089i | ||||
\(322\) | 1.04882e8 | − | 5.05084e7i | 3.14147 | − | 1.51285i | ||||
\(323\) | 1.47236e6 | + | 3.05740e6i | 0.0436926 | + | 0.0907286i | ||||
\(324\) | 2.28379e8 | + | 3.44226e7i | 6.71461 | + | 1.01207i | ||||
\(325\) | 1.20709e6 | − | 3.07563e6i | 0.0351634 | − | 0.0895949i | ||||
\(326\) | 2.65926e6 | − | 3.54854e7i | 0.0767554 | − | 1.02423i | ||||
\(327\) | 4.19868e7 | − | 4.52511e7i | 1.20080 | − | 1.29415i | ||||
\(328\) | −1.99006e7 | − | 4.54217e6i | −0.563954 | − | 0.128719i | ||||
\(329\) | −1.11092e7 | − | 7.37046e7i | −0.311957 | − | 2.06970i | ||||
\(330\) | −3.73616e7 | − | 5.47994e7i | −1.03964 | − | 1.52487i | ||||
\(331\) | 7.51853e6 | − | 2.43745e7i | 0.207324 | − | 0.672127i | −0.790866 | − | 0.611989i | \(-0.790370\pi\) |
0.998190 | − | 0.0601383i | \(-0.0191542\pi\) | |||||||
\(332\) | 2.50412e6 | + | 3.34152e7i | 0.0684292 | + | 0.913125i | ||||
\(333\) | −4.37509e7 | − | 3.48902e7i | −1.18482 | − | 0.944866i | ||||
\(334\) | −3.04225e7 | − | 9.86273e7i | −0.816499 | − | 2.64702i | ||||
\(335\) | −6.36070e6 | + | 2.49639e6i | −0.169188 | + | 0.0664016i | ||||
\(336\) | −2.89156e7 | − | 1.26687e8i | −0.762280 | − | 3.33976i | ||||
\(337\) | −1.68090e7 | + | 2.91141e7i | −0.439191 | + | 0.760701i | −0.997627 | − | 0.0688466i | \(-0.978068\pi\) |
0.558437 | + | 0.829547i | \(0.311401\pi\) | |||||||
\(338\) | −3.66979e7 | + | 2.11875e7i | −0.950366 | + | 0.548694i | ||||
\(339\) | 6.95892e6 | − | 6.45693e6i | 0.178625 | − | 0.165740i | ||||
\(340\) | −2.41617e7 | + | 1.92683e7i | −0.614739 | + | 0.490238i | ||||
\(341\) | 1.29712e7 | + | 8.84358e6i | 0.327126 | + | 0.223031i | ||||
\(342\) | −4.55072e7 | − | 2.19151e7i | −1.13763 | − | 0.547855i | ||||
\(343\) | − | 1.53521e7i | − | 0.380439i | ||||||
\(344\) | −1.49812e7 | − | 7.43640e7i | −0.368021 | − | 1.82679i | ||||
\(345\) | 1.07661e8 | 2.62182 | ||||||||
\(346\) | −2.96064e7 | + | 6.14784e7i | −0.714756 | + | 1.48421i | ||||
\(347\) | −2.67873e7 | + | 3.92897e7i | −0.641121 | + | 0.940352i | 0.358855 | + | 0.933393i | \(0.383167\pi\) |
−0.999976 | + | 0.00695854i | \(0.997785\pi\) | |||||||
\(348\) | 6.62994e7 | + | 8.31368e7i | 1.57316 | + | 1.97268i | ||||
\(349\) | 1.48501e7 | + | 1.60046e7i | 0.349343 | + | 0.376502i | 0.883139 | − | 0.469111i | \(-0.155426\pi\) |
−0.533796 | + | 0.845613i | \(0.679235\pi\) | |||||||
\(350\) | 4.25101e6 | + | 7.36296e6i | 0.0991489 | + | 0.171731i | ||||
\(351\) | 1.48403e8 | + | 8.56804e7i | 3.43179 | + | 1.98135i | ||||
\(352\) | 5.28856e6 | − | 1.20708e6i | 0.121258 | − | 0.0276763i | ||||
\(353\) | −1.26793e7 | − | 3.23064e7i | −0.288252 | − | 0.734454i | −0.999503 | − | 0.0315164i | \(-0.989966\pi\) |
0.711251 | − | 0.702938i | \(-0.248129\pi\) | |||||||
\(354\) | −7.87836e7 | + | 2.43015e7i | −1.77593 | + | 0.547802i | ||||
\(355\) | −3.47689e7 | + | 4.35989e7i | −0.777153 | + | 0.974519i | ||||
\(356\) | −9.25010e7 | + | 6.93200e6i | −2.05020 | + | 0.153641i | ||||
\(357\) | 4.56710e7 | + | 1.40876e7i | 1.00377 | + | 0.309623i | ||||
\(358\) | 2.70393e7 | − | 1.84351e7i | 0.589312 | − | 0.401786i | ||||
\(359\) | −1.20896e7 | + | 1.82222e6i | −0.261294 | + | 0.0393837i | −0.278383 | − | 0.960470i | \(-0.589798\pi\) |
0.0170887 | + | 0.999854i | \(0.494560\pi\) | |||||||
\(360\) | 5.27770e7 | − | 2.31231e8i | 1.13119 | − | 4.95609i | ||||
\(361\) | −3.18941e7 | − | 2.95934e7i | −0.677936 | − | 0.629033i | ||||
\(362\) | 1.04264e8 | + | 7.81350e6i | 2.19790 | + | 0.164710i | ||||
\(363\) | 6.06884e7 | + | 2.38184e7i | 1.26878 | + | 0.497959i | ||||
\(364\) | 2.84137e7 | − | 1.88513e8i | 0.589148 | − | 3.90874i | ||||
\(365\) | 1.22169e7 | − | 5.88335e6i | 0.251236 | − | 0.120989i | ||||
\(366\) | 3.86451e7 | + | 8.02473e7i | 0.788226 | + | 1.63677i | ||||
\(367\) | 7.52903e7 | + | 1.13482e7i | 1.52314 | + | 0.229577i | 0.856636 | − | 0.515922i | \(-0.172550\pi\) |
0.666507 | + | 0.745499i | \(0.267789\pi\) | |||||||
\(368\) | −2.89334e7 | + | 7.37210e7i | −0.580571 | + | 1.47927i | ||||
\(369\) | −3.06593e6 | + | 4.09120e7i | −0.0610216 | + | 0.814276i | ||||
\(370\) | −3.60329e7 | + | 3.88343e7i | −0.711368 | + | 0.766672i | ||||
\(371\) | 6.18128e7 | + | 1.41084e7i | 1.21048 | + | 0.276284i | ||||
\(372\) | 2.23966e7 | + | 1.48592e8i | 0.435064 | + | 2.88646i | ||||
\(373\) | 3.33869e6 | + | 4.89696e6i | 0.0643353 | + | 0.0943626i | 0.857058 | − | 0.515220i | \(-0.172290\pi\) |
−0.792723 | + | 0.609582i | \(0.791337\pi\) | |||||||
\(374\) | −5.28917e6 | + | 1.71471e7i | −0.101105 | + | 0.327775i | ||||
\(375\) | −7.19941e6 | − | 9.60695e7i | −0.136522 | − | 1.82176i | ||||
\(376\) | 1.07986e8 | + | 8.61156e7i | 2.03143 | + | 1.62001i | ||||
\(377\) | 1.29213e7 | + | 4.18897e7i | 0.241146 | + | 0.781777i | ||||
\(378\) | −4.10470e8 | + | 1.61098e8i | −7.59987 | + | 2.98273i | ||||
\(379\) | 9.42369e6 | + | 4.12879e7i | 0.173103 | + | 0.758412i | 0.984709 | + | 0.174207i | \(0.0557362\pi\) |
−0.811607 | + | 0.584204i | \(0.801407\pi\) | |||||||
\(380\) | −1.61065e7 | + | 2.78974e7i | −0.293529 | + | 0.508408i | ||||
\(381\) | 1.14298e8 | − | 6.59901e7i | 2.06664 | − | 1.19317i | ||||
\(382\) | −3.74596e6 | + | 3.47574e6i | −0.0672005 | + | 0.0623530i | ||||
\(383\) | −5.07624e7 | + | 4.04816e7i | −0.903536 | + | 0.720546i | −0.960632 | − | 0.277823i | \(-0.910387\pi\) |
0.0570963 | + | 0.998369i | \(0.481816\pi\) | |||||||
\(384\) | −1.43995e8 | − | 9.81741e7i | −2.54304 | − | 1.73382i | ||||
\(385\) | 4.27049e7 | + | 2.05656e7i | 0.748334 | + | 0.360379i | ||||
\(386\) | 6.20050e7i | 1.07811i | ||||||||
\(387\) | −1.43307e8 | + | 5.20509e7i | −2.47249 | + | 0.898040i | ||||
\(388\) | −1.90334e8 | −3.25853 | ||||||||
\(389\) | −3.13355e6 | + | 6.50688e6i | −0.0532338 | + | 0.110541i | −0.925889 | − | 0.377796i | \(-0.876682\pi\) |
0.872655 | + | 0.488337i | \(0.162396\pi\) | |||||||
\(390\) | 1.47431e8 | − | 2.16241e8i | 2.48539 | − | 3.64539i | ||||
\(391\) | −1.81612e7 | − | 2.27735e7i | −0.303819 | − | 0.380977i | ||||
\(392\) | 9.56985e7 | + | 1.03138e8i | 1.58872 | + | 1.71223i | ||||
\(393\) | −5.54384e7 | − | 9.60220e7i | −0.913340 | − | 1.58195i | ||||
\(394\) | −4.41192e7 | − | 2.54723e7i | −0.721339 | − | 0.416465i | ||||
\(395\) | 7.28866e7 | − | 1.66359e7i | 1.18265 | − | 0.269932i | ||||
\(396\) | −6.57368e7 | − | 1.67495e8i | −1.05858 | − | 2.69722i | ||||
\(397\) | 1.59376e7 | − | 4.91611e6i | 0.254714 | − | 0.0785688i | −0.164769 | − | 0.986332i | \(-0.552688\pi\) |
0.419482 | + | 0.907763i | \(0.362212\pi\) | |||||||
\(398\) | 1.15150e8 | − | 1.44394e8i | 1.82648 | − | 2.29034i | ||||
\(399\) | 4.96797e7 | − | 3.72298e6i | 0.782097 | − | 0.0586100i | ||||
\(400\) | −5.52708e6 | − | 1.70488e6i | −0.0863606 | − | 0.0266387i | ||||
\(401\) | −6.04243e7 | + | 4.11966e7i | −0.937084 | + | 0.638893i | −0.932528 | − | 0.361097i | \(-0.882402\pi\) |
−0.00455532 | + | 0.999990i | \(0.501450\pi\) | |||||||
\(402\) | −3.75533e7 | + | 5.66025e6i | −0.578056 | + | 0.0871279i | ||||
\(403\) | −1.37850e7 | + | 6.03960e7i | −0.210616 | + | 0.922769i | ||||
\(404\) | 8.54677e7 | + | 7.93024e7i | 1.29616 | + | 1.20266i | ||||
\(405\) | −2.25959e8 | − | 1.69333e7i | −3.40145 | − | 0.254904i | ||||
\(406\) | −1.05006e8 | − | 4.12117e7i | −1.56904 | − | 0.615805i | ||||
\(407\) | −3.08857e6 | + | 2.04913e7i | −0.0458114 | + | 0.303939i | ||||
\(408\) | −7.97934e7 | + | 3.84265e7i | −1.17486 | + | 0.565783i | ||||
\(409\) | 1.61231e7 | + | 3.34800e7i | 0.235656 | + | 0.489345i | 0.984938 | − | 0.172906i | \(-0.0553156\pi\) |
−0.749282 | + | 0.662251i | \(0.769601\pi\) | |||||||
\(410\) | 3.84057e7 | + | 5.78872e6i | 0.557242 | + | 0.0839907i | ||||
\(411\) | 9.86405e6 | − | 2.51332e7i | 0.142079 | − | 0.362011i | ||||
\(412\) | −1.35166e6 | + | 1.80367e7i | −0.0193276 | + | 0.257908i | ||||
\(413\) | 4.00764e7 | − | 4.31921e7i | 0.568904 | − | 0.613132i | ||||
\(414\) | 4.22685e8 | + | 9.64752e7i | 5.95684 | + | 1.35961i | ||||
\(415\) | −4.89984e6 | − | 3.25083e7i | −0.0685547 | − | 0.454831i | ||||
\(416\) | 1.20582e7 | + | 1.76861e7i | 0.167495 | + | 0.245670i | ||||
\(417\) | −7.67223e7 | + | 2.48728e8i | −1.05807 | + | 3.43017i | ||||
\(418\) | 1.39778e6 | + | 1.86521e7i | 0.0191386 | + | 0.255388i | ||||
\(419\) | −2.31539e7 | − | 1.84647e7i | −0.314762 | − | 0.251015i | 0.453346 | − | 0.891335i | \(-0.350230\pi\) |
−0.768108 | + | 0.640320i | \(0.778802\pi\) | |||||||
\(420\) | 1.33730e8 | + | 4.33542e8i | 1.80502 | + | 5.85172i | ||||
\(421\) | 1.07340e8 | − | 4.21280e7i | 1.43852 | − | 0.564579i | 0.487342 | − | 0.873211i | \(-0.337966\pi\) |
0.951182 | + | 0.308632i | \(0.0998712\pi\) | |||||||
\(422\) | −2.68942e6 | − | 1.17831e7i | −0.0357867 | − | 0.156792i | ||||
\(423\) | 1.38802e8 | − | 2.40413e8i | 1.83390 | − | 3.17641i | ||||
\(424\) | −1.01746e8 | + | 5.87430e7i | −1.33481 | + | 0.770653i | ||||
\(425\) | 1.55949e6 | − | 1.44699e6i | 0.0203149 | − | 0.0188495i | ||||
\(426\) | −2.42319e8 | + | 1.93243e8i | −3.13443 | + | 2.49962i | ||||
\(427\) | −5.25925e7 | − | 3.58570e7i | −0.675524 | − | 0.460564i | ||||
\(428\) | 1.23912e8 | + | 5.96727e7i | 1.58045 | + | 0.761105i | ||||
\(429\) | − | 1.02376e8i | − | 1.29667i | ||||||
\(430\) | 3.89998e7 | + | 1.38970e8i | 0.490520 | + | 1.74790i | ||||
\(431\) | 9.43935e7 | 1.17899 | 0.589495 | − | 0.807772i | \(-0.299327\pi\) | ||||
0.589495 | + | 0.807772i | \(0.299327\pi\) | |||||||
\(432\) | 1.30159e8 | − | 2.70278e8i | 1.61444 | − | 3.35243i | ||||
\(433\) | −7.74209e7 | + | 1.13556e8i | −0.953662 | + | 1.39877i | −0.0369060 | + | 0.999319i | \(0.511750\pi\) |
−0.916756 | + | 0.399447i | \(0.869202\pi\) | |||||||
\(434\) | −9.93903e7 | − | 1.24632e8i | −1.21584 | − | 1.52461i | ||||
\(435\) | −7.09596e7 | − | 7.64763e7i | −0.862072 | − | 0.929092i | ||||
\(436\) | −7.92703e7 | − | 1.37300e8i | −0.956426 | − | 1.65658i | ||||
\(437\) | −2.62945e7 | − | 1.51811e7i | −0.315080 | − | 0.181911i | ||||
\(438\) | 7.34742e7 | − | 1.67700e7i | 0.874405 | − | 0.199577i | ||||
\(439\) | −5.28316e7 | − | 1.34613e8i | −0.624454 | − | 1.59108i | −0.795591 | − | 0.605834i | \(-0.792839\pi\) |
0.171137 | − | 0.985247i | \(-0.445256\pi\) | |||||||
\(440\) | −8.39290e7 | + | 2.58887e7i | −0.985267 | + | 0.303915i | ||||
\(441\) | 1.76315e8 | − | 2.21092e8i | 2.05576 | − | 2.57785i | ||||
\(442\) | −7.06111e7 | + | 5.29157e6i | −0.817723 | + | 0.0612798i | ||||
\(443\) | 1.58811e8 | + | 4.89867e7i | 1.82671 | + | 0.563465i | 1.00000 | 0.000834650i | \(0.000265677\pi\) | |
0.826709 | + | 0.562630i | \(0.190211\pi\) | |||||||
\(444\) | −1.63890e8 | + | 1.11738e8i | −1.87242 | + | 1.27660i | ||||
\(445\) | 8.99905e7 | − | 1.35639e7i | 1.02121 | − | 0.153923i | ||||
\(446\) | −5.09957e7 | + | 2.23427e8i | −0.574816 | + | 2.51843i | ||||
\(447\) | −1.83638e8 | − | 1.70391e8i | −2.05608 | − | 1.90776i | ||||
\(448\) | 1.06277e8 | + | 7.96433e6i | 1.18196 | + | 0.0885759i | ||||
\(449\) | 330025. | + | 129525.i | 0.00364592 | + | 0.00143092i | 0.367163 | − | 0.930157i | \(-0.380329\pi\) |
−0.363517 | + | 0.931587i | \(0.618424\pi\) | |||||||
\(450\) | −4.71939e6 | + | 3.13111e7i | −0.0517902 | + | 0.343606i | ||||
\(451\) | 1.36883e7 | − | 6.59196e6i | 0.149218 | − | 0.0718596i | ||||
\(452\) | −1.05786e7 | − | 2.19666e7i | −0.114554 | − | 0.237875i | ||||
\(453\) | −2.08405e8 | − | 3.14120e7i | −2.24189 | − | 0.337910i | ||||
\(454\) | 1.37160e7 | − | 3.49479e7i | 0.146575 | − | 0.373468i | ||||
\(455\) | −1.39774e7 | + | 1.86515e8i | −0.148386 | + | 1.98007i | ||||
\(456\) | −6.27906e7 | + | 6.76721e7i | −0.662216 | + | 0.713700i | ||||
\(457\) | −1.04998e8 | − | 2.39652e7i | −1.10010 | − | 0.251091i | −0.366329 | − | 0.930485i | \(-0.619386\pi\) |
−0.733774 | + | 0.679394i | \(0.762243\pi\) | |||||||
\(458\) | 3.45329e6 | + | 2.29111e7i | 0.0359449 | + | 0.238479i | ||||
\(459\) | 6.21543e7 | + | 9.11637e7i | 0.642737 | + | 0.942722i | ||||
\(460\) | 8.15020e7 | − | 2.64223e8i | 0.837326 | − | 2.71454i | ||||
\(461\) | −4.16118e6 | − | 5.55271e7i | −0.0424731 | − | 0.566764i | −0.977328 | − | 0.211733i | \(-0.932089\pi\) |
0.934854 | − | 0.355031i | \(-0.115530\pi\) | |||||||
\(462\) | 2.05965e8 | + | 1.64251e8i | 2.08866 | + | 1.66565i | ||||
\(463\) | 2.94114e7 | + | 9.53494e7i | 0.296328 | + | 0.960672i | 0.974237 | + | 0.225526i | \(0.0724101\pi\) |
−0.677909 | + | 0.735146i | \(0.737114\pi\) | |||||||
\(464\) | 7.14370e7 | − | 2.80370e7i | 0.715104 | − | 0.280658i | ||||
\(465\) | −3.28061e7 | − | 1.43733e8i | −0.326284 | − | 1.42954i | ||||
\(466\) | 9.24956e6 | − | 1.60207e7i | 0.0914036 | − | 0.158316i | ||||
\(467\) | −1.42711e8 | + | 8.23943e7i | −1.40122 | + | 0.808996i | −0.994518 | − | 0.104564i | \(-0.966655\pi\) |
−0.406704 | + | 0.913560i | \(0.633322\pi\) | |||||||
\(468\) | 5.20484e8 | − | 4.82939e8i | 5.07773 | − | 4.71145i | ||||
\(469\) | 2.12196e7 | − | 1.69221e7i | 0.205692 | − | 0.164034i | ||||
\(470\) | −2.17139e8 | − | 1.48043e8i | −2.09144 | − | 1.42592i | ||||
\(471\) | −2.23631e8 | − | 1.07695e8i | −2.14027 | − | 1.03070i | ||||
\(472\) | 1.09182e8i | 1.03830i | ||||||||
\(473\) | 4.32275e7 | + | 3.63215e7i | 0.408485 | + | 0.343226i | ||||
\(474\) | 4.15515e8 | 3.90168 | ||||||||
\(475\) | 962142. | − | 1.99791e6i | 0.00897756 | − | 0.0186421i | ||||
\(476\) | 6.91479e7 | − | 1.01421e8i | 0.641148 | − | 0.940391i | ||||
\(477\) | 1.47228e8 | + | 1.84618e8i | 1.35655 | + | 1.70105i | ||||
\(478\) | 1.33898e8 | + | 1.44308e8i | 1.22600 | + | 1.32131i | ||||
\(479\) | 8.71669e7 | + | 1.50977e8i | 0.793131 | + | 1.37374i | 0.924019 | + | 0.382346i | \(0.124884\pi\) |
−0.130888 | + | 0.991397i | \(0.541783\pi\) | |||||||
\(480\) | −4.41171e7 | − | 2.54710e7i | −0.398917 | − | 0.230315i | ||||
\(481\) | −7.97228e7 | + | 1.81962e7i | −0.716387 | + | 0.163511i | ||||
\(482\) | −1.12260e8 | − | 2.86034e8i | −1.00250 | − | 2.55433i | ||||
\(483\) | −4.08633e8 | + | 1.26046e8i | −3.62653 | + | 1.11864i | ||||
\(484\) | 1.04398e8 | − | 1.30911e8i | 0.920777 | − | 1.15462i | ||||
\(485\) | 1.86214e8 | − | 1.39548e7i | 1.63225 | − | 0.122320i | ||||
\(486\) | −6.06855e8 | − | 1.87190e8i | −5.28659 | − | 1.63070i | ||||
\(487\) | 3.43884e7 | − | 2.34456e7i | 0.297732 | − | 0.202990i | −0.405236 | − | 0.914212i | \(-0.632810\pi\) |
0.702967 | + | 0.711222i | \(0.251858\pi\) | |||||||
\(488\) | 1.16633e8 | − | 1.75796e7i | 1.00360 | − | 0.151269i | ||||
\(489\) | −2.90881e7 | + | 1.27443e8i | −0.248765 | + | 1.08991i | ||||
\(490\) | −1.96246e8 | − | 1.82090e8i | −1.66806 | − | 1.54774i | ||||
\(491\) | −1.28335e8 | − | 9.61742e6i | −1.08418 | − | 0.0812482i | −0.479367 | − | 0.877614i | \(-0.659134\pi\) |
−0.604815 | + | 0.796366i | \(0.706753\pi\) | |||||||
\(492\) | 1.35373e8 | + | 5.31299e7i | 1.13667 | + | 0.446112i | ||||
\(493\) | −4.20685e6 | + | 2.79107e7i | −0.0351089 | + | 0.232932i | ||||
\(494\) | −6.64993e7 | + | 3.20244e7i | −0.551615 | + | 0.265644i | ||||
\(495\) | 7.65941e7 | + | 1.59049e8i | 0.631510 | + | 1.31134i | ||||
\(496\) | 1.07237e8 | + | 1.61634e7i | 0.878823 | + | 0.132461i | ||||
\(497\) | 8.09226e7 | − | 2.06187e8i | 0.659175 | − | 1.67955i | ||||
\(498\) | 1.36546e7 | − | 1.82208e8i | 0.110558 | − | 1.47530i | ||||
\(499\) | −2.81791e7 | + | 3.03698e7i | −0.226791 | + | 0.244422i | −0.836188 | − | 0.548443i | \(-0.815221\pi\) |
0.609398 | + | 0.792865i | \(0.291411\pi\) | |||||||
\(500\) | −2.41224e8 | − | 5.50578e7i | −1.92979 | − | 0.440463i | ||||
\(501\) | 5.65095e7 | + | 3.74916e8i | 0.449375 | + | 2.98141i | ||||
\(502\) | 1.78116e8 | + | 2.61248e8i | 1.40796 | + | 2.06510i | ||||
\(503\) | 5.70992e7 | − | 1.85111e8i | 0.448669 | − | 1.45455i | −0.395496 | − | 0.918468i | \(-0.629427\pi\) |
0.844166 | − | 0.536082i | \(-0.180096\pi\) | |||||||
\(504\) | 7.04010e7 | + | 9.39436e8i | 0.549905 | + | 7.33797i | ||||
\(505\) | −8.94318e7 | − | 7.13195e7i | −0.694413 | − | 0.553776i | ||||
\(506\) | −4.73239e7 | − | 1.53420e8i | −0.365282 | − | 1.18422i | ||||
\(507\) | 1.44904e8 | − | 5.68706e7i | 1.11188 | − | 0.436379i | ||||
\(508\) | −7.54269e7 | − | 3.30467e8i | −0.575354 | − | 2.52079i | ||||
\(509\) | −4.22743e7 | + | 7.32212e7i | −0.320570 | + | 0.555244i | −0.980606 | − | 0.195991i | \(-0.937208\pi\) |
0.660036 | + | 0.751234i | \(0.270541\pi\) | |||||||
\(510\) | 1.45938e8 | − | 8.42573e7i | 1.10016 | − | 0.635180i | ||||
\(511\) | −3.94816e7 | + | 3.66336e7i | −0.295891 | + | 0.274547i | ||||
\(512\) | −2.04902e8 | + | 1.63404e8i | −1.52664 | + | 1.21745i | ||||
\(513\) | 9.50255e7 | + | 6.47873e7i | 0.703863 | + | 0.479886i | ||||
\(514\) | −1.47227e8 | − | 7.09007e7i | −1.08417 | − | 0.522109i | ||||
\(515\) | − | 1.77454e7i | − | 0.129916i | ||||||
\(516\) | 2.65778e7 | + | 5.39788e8i | 0.193450 | + | 3.92893i | ||||
\(517\) | −1.02802e8 | −0.743925 | ||||||||
\(518\) | 9.12983e7 | − | 1.89583e8i | 0.656861 | − | 1.36399i | ||||
\(519\) | 1.41204e8 | − | 2.07108e8i | 1.01005 | − | 1.48148i | ||||
\(520\) | −2.16093e8 | − | 2.70972e8i | −1.53684 | − | 1.92714i | ||||
\(521\) | 3.49673e7 | + | 3.76857e7i | 0.247257 | + | 0.266480i | 0.844470 | − | 0.535603i | \(-0.179916\pi\) |
−0.597213 | + | 0.802083i | \(0.703725\pi\) | |||||||
\(522\) | −2.10062e8 | − | 3.63837e8i | −1.47685 | − | 2.55797i | ||||
\(523\) | 1.28424e8 | + | 7.41457e7i | 0.897722 | + | 0.518300i | 0.876460 | − | 0.481474i | \(-0.159898\pi\) |
0.0212613 | + | 0.999774i | \(0.493232\pi\) | |||||||
\(524\) | −2.77626e8 | + | 6.33662e7i | −1.92959 | + | 0.440417i | ||||
\(525\) | −1.14104e7 | − | 2.90731e7i | −0.0788535 | − | 0.200916i | ||||
\(526\) | 3.50341e7 | − | 1.08066e7i | 0.240732 | − | 0.0742560i | ||||
\(527\) | −2.48696e7 | + | 3.11856e7i | −0.169917 | + | 0.213070i | ||||
\(528\) | −1.78720e8 | + | 1.33932e7i | −1.21415 | + | 0.0909878i | ||||
\(529\) | 1.07583e8 | + | 3.31849e7i | 0.726734 | + | 0.224168i | ||||
\(530\) | 1.84702e8 | − | 1.25928e8i | 1.24064 | − | 0.845852i | ||||
\(531\) | 2.16993e8 | − | 3.27064e7i | 1.44931 | − | 0.218449i | ||||
\(532\) | 2.84717e7 | − | 1.24742e8i | 0.189094 | − | 0.828475i | ||||
\(533\) | 4.39479e7 | + | 4.07777e7i | 0.290239 | + | 0.269303i | ||||
\(534\) | 5.04394e8 | + | 3.77991e7i | 3.31243 | + | 0.248232i | ||||
\(535\) | −1.25604e8 | − | 4.92961e7i | −0.820245 | − | 0.321922i | ||||
\(536\) | −7.49572e6 | + | 4.97308e7i | −0.0486765 | + | 0.322947i | ||||
\(537\) | −1.08312e8 | + | 5.21604e7i | −0.699447 | + | 0.336836i | ||||
\(538\) | 1.89097e7 | + | 3.92664e7i | 0.121433 | + | 0.252159i | ||||
\(539\) | −1.03551e8 | − | 1.56079e7i | −0.661286 | − | 0.0996729i | ||||
\(540\) | −3.82653e8 | + | 9.74984e8i | −2.43010 | + | 6.19179i | ||||
\(541\) | 1.86484e7 | − | 2.48846e8i | 0.117774 | − | 1.57159i | −0.555068 | − | 0.831805i | \(-0.687308\pi\) |
0.672843 | − | 0.739785i | \(-0.265073\pi\) | |||||||
\(542\) | 7.11674e7 | − | 7.67002e7i | 0.446975 | − | 0.481725i | ||||
\(543\) | −3.74456e8 | − | 8.54672e7i | −2.33885 | − | 0.533827i | ||||
\(544\) | 2.05419e6 | + | 1.36287e7i | 0.0127598 | + | 0.0846559i | ||||
\(545\) | 8.76209e7 | + | 1.28516e8i | 0.541275 | + | 0.793905i | ||||
\(546\) | −3.06410e8 | + | 9.93358e8i | −1.88246 | + | 6.10278i | ||||
\(547\) | −8.48025e6 | − | 1.13161e8i | −0.0518139 | − | 0.691409i | −0.961270 | − | 0.275609i | \(-0.911121\pi\) |
0.909456 | − | 0.415800i | \(-0.136498\pi\) | |||||||
\(548\) | −5.42147e7 | − | 4.32348e7i | −0.329439 | − | 0.262719i | ||||
\(549\) | −6.98770e7 | − | 2.26536e8i | −0.422296 | − | 1.36905i | ||||
\(550\) | 1.09154e7 | − | 4.28399e6i | 0.0656074 | − | 0.0257490i | ||||
\(551\) | 6.54692e6 | + | 2.86839e7i | 0.0391365 | + | 0.171468i | ||||
\(552\) | 3.96205e8 | − | 6.86246e8i | 2.35560 | − | 4.08003i | ||||
\(553\) | −2.57167e8 | + | 1.48475e8i | −1.52069 | + | 0.877969i | ||||
\(554\) | −8.63555e7 | + | 8.01262e7i | −0.507880 | + | 0.471244i | ||||
\(555\) | 1.52150e8 | − | 1.21336e8i | 0.890006 | − | 0.709756i | ||||
\(556\) | 5.52348e8 | + | 3.76584e8i | 3.21357 | + | 2.19098i | ||||
\(557\) | 1.55764e8 | + | 7.50121e7i | 0.901368 | + | 0.434076i | 0.826383 | − | 0.563109i | \(-0.190395\pi\) |
0.0749849 | + | 0.997185i | \(0.476109\pi\) | |||||||
\(558\) | − | 5.93702e8i | − | 3.41717i | ||||||
\(559\) | −7.10996e7 | + | 2.11149e8i | −0.407035 | + | 1.20880i | ||||
\(560\) | 3.27431e8 | 1.86447 | ||||||||
\(561\) | 2.86008e7 | − | 5.93902e7i | 0.161991 | − | 0.336377i | ||||
\(562\) | 8.13910e6 | − | 1.19379e7i | 0.0458529 | − | 0.0672539i | ||||
\(563\) | 1.12748e8 | + | 1.41382e8i | 0.631808 | + | 0.792262i | 0.989952 | − | 0.141404i | \(-0.0451618\pi\) |
−0.358144 | + | 0.933666i | \(0.616590\pi\) | |||||||
\(564\) | −6.69298e8 | − | 7.21331e8i | −3.73063 | − | 4.02066i | ||||
\(565\) | 1.19601e7 | + | 2.07155e7i | 0.0663117 | + | 0.114855i | ||||
\(566\) | −4.12472e8 | − | 2.38141e8i | −2.27481 | − | 1.31336i | ||||
\(567\) | 8.77461e8 | − | 2.00275e8i | 4.81369 | − | 1.09869i | ||||
\(568\) | 1.49951e8 | + | 3.82070e8i | 0.818286 | + | 2.08496i | ||||
\(569\) | 9.90139e7 | − | 3.05417e7i | 0.537476 | − | 0.165789i | −0.0141206 | − | 0.999900i | \(-0.504495\pi\) |
0.551597 | + | 0.834111i | \(0.314019\pi\) | |||||||
\(570\) | 1.09518e8 | − | 1.37331e8i | 0.591372 | − | 0.741557i | ||||
\(571\) | 9.59388e7 | − | 7.18962e6i | 0.515331 | − | 0.0386187i | 0.185473 | − | 0.982649i | \(-0.440618\pi\) |
0.329858 | + | 0.944031i | \(0.392999\pi\) | |||||||
\(572\) | −2.51253e8 | − | 7.75012e7i | −1.34253 | − | 0.414114i | ||||
\(573\) | 1.55100e7 | − | 1.05745e7i | 0.0824420 | − | 0.0562080i | ||||
\(574\) | −1.52547e8 | + | 2.29928e7i | −0.806620 | + | 0.121578i | ||||
\(575\) | −4.23556e6 | + | 1.85572e7i | −0.0222796 | + | 0.0976133i | ||||
\(576\) | 2.90966e8 | + | 2.69977e8i | 1.52256 | + | 1.41273i | ||||
\(577\) | 2.85702e7 | + | 2.14104e6i | 0.148726 | + | 0.0111455i | 0.148885 | − | 0.988855i | \(-0.452432\pi\) |
−0.000159142 | 1.00000i | \(0.500051\pi\) | ||||||||
\(578\) | 2.72228e8 | + | 1.06842e8i | 1.40978 | + | 0.553296i | ||||
\(579\) | 3.39480e7 | − | 2.25231e8i | 0.174896 | − | 1.16036i | ||||
\(580\) | −2.41406e8 | + | 1.16255e8i | −1.23727 | + | 0.595838i | ||||
\(581\) | 5.66572e7 | + | 1.17650e8i | 0.288886 | + | 0.599878i | ||||
\(582\) | 1.02627e9 | + | 1.54686e8i | 5.20587 | + | 0.784659i | ||||
\(583\) | 3.19472e7 | − | 8.14001e7i | 0.161223 | − | 0.410790i | ||||
\(584\) | 7.45823e6 | − | 9.95232e7i | 0.0374453 | − | 0.499673i | ||||
\(585\) | −4.73810e8 | + | 5.10645e8i | −2.36666 | + | 2.55066i | ||||
\(586\) | 2.42013e8 | + | 5.52380e7i | 1.20267 | + | 0.274502i | ||||
\(587\) | 4.43258e7 | + | 2.94083e8i | 0.219151 | + | 1.45397i | 0.779859 | + | 0.625956i | \(0.215291\pi\) |
−0.560708 | + | 0.828014i | \(0.689471\pi\) | |||||||
\(588\) | −5.64662e8 | − | 8.28207e8i | −2.77752 | − | 4.07387i | ||||
\(589\) | −1.22552e7 | + | 3.97303e7i | −0.0599755 | + | 0.194436i | ||||
\(590\) | −1.55248e7 | − | 2.07164e8i | −0.0755909 | − | 1.00869i | ||||
\(591\) | 1.46315e8 | + | 1.16682e8i | 0.708805 | + | 0.565253i | ||||
\(592\) | 4.21950e7 | + | 1.36793e8i | 0.203374 | + | 0.659323i | ||||
\(593\) | −5.98275e7 | + | 2.34806e7i | −0.286904 | + | 0.112602i | −0.504429 | − | 0.863453i | \(-0.668297\pi\) |
0.217525 | + | 0.976055i | \(0.430202\pi\) | |||||||
\(594\) | 1.35329e8 | + | 5.92914e8i | 0.645700 | + | 2.82899i | ||||
\(595\) | −6.02151e7 | + | 1.04296e8i | −0.285861 | + | 0.495125i | ||||
\(596\) | −5.57193e8 | + | 3.21695e8i | −2.63188 | + | 1.51952i | ||||
\(597\) | −4.97335e8 | + | 4.61460e8i | −2.33736 | + | 2.16876i | ||||
\(598\) | 4.95330e8 | − | 3.95012e8i | 2.31628 | − | 1.84717i | ||||
\(599\) | −2.84231e8 | − | 1.93786e8i | −1.32249 | − | 0.901656i | −0.323480 | − | 0.946235i | \(-0.604853\pi\) |
−0.999006 | + | 0.0445790i | \(0.985805\pi\) | |||||||
\(600\) | 5.21423e7 | + | 2.51104e7i | 0.241400 | + | 0.116252i | ||||
\(601\) | − | 3.06672e8i | − | 1.41270i | −0.707861 | − | 0.706352i | \(-0.750340\pi\) | ||
0.707861 | − | 0.706352i | \(-0.249660\pi\) | |||||||
\(602\) | −3.10727e8 | − | 4.81806e8i | −1.42426 | − | 2.20842i | ||||
\(603\) | 1.01083e8 | 0.461026 | ||||||||
\(604\) | −2.34859e8 | + | 4.87689e8i | −1.06585 | + | 2.21326i | ||||
\(605\) | −9.25398e7 | + | 1.35731e8i | −0.417890 | + | 0.612932i | ||||
\(606\) | −3.96387e8 | − | 4.97054e8i | −1.78116 | − | 2.23350i | ||||
\(607\) | 2.32153e8 | + | 2.50201e8i | 1.03802 | + | 1.11872i | 0.992804 | + | 0.119747i | \(0.0382084\pi\) |
0.0452200 | + | 0.998977i | \(0.485601\pi\) | |||||||
\(608\) | 7.18324e6 | + | 1.24417e7i | 0.0319602 | + | 0.0553567i | ||||
\(609\) | 3.58866e8 | + | 2.07191e8i | 1.58884 | + | 0.917317i | ||||
\(610\) | −2.18802e8 | + | 4.99402e7i | −0.963967 | + | 0.220019i | ||||
\(611\) | −1.48205e8 | − | 3.77619e8i | −0.649737 | − | 1.65550i | ||||
\(612\) | 4.36859e8 | − | 1.34753e8i | 1.90584 | − | 0.587875i | ||||
\(613\) | −7.37894e7 | + | 9.25290e7i | −0.320341 | + | 0.401695i | −0.915763 | − | 0.401718i | \(-0.868413\pi\) |
0.595423 | + | 0.803413i | \(0.296985\pi\) | |||||||
\(614\) | 8.65290e7 | − | 6.48445e6i | 0.373815 | − | 0.0280136i | ||||
\(615\) | −1.36338e8 | − | 4.20546e7i | −0.586125 | − | 0.180796i | ||||
\(616\) | 2.88246e8 | − | 1.96523e8i | 1.23316 | − | 0.840757i | ||||
\(617\) | −1.98169e8 | + | 2.98691e7i | −0.843683 | + | 0.127165i | −0.556641 | − | 0.830753i | \(-0.687910\pi\) |
−0.287042 | + | 0.957918i | \(0.592672\pi\) | |||||||
\(618\) | 2.19466e7 | − | 9.61543e7i | 0.0929826 | − | 0.407383i | ||||
\(619\) | −1.81907e8 | − | 1.68785e8i | −0.766967 | − | 0.711642i | 0.196194 | − | 0.980565i | \(-0.437142\pi\) |
−0.963162 | + | 0.268923i | \(0.913332\pi\) | |||||||
\(620\) | −3.77585e8 | − | 2.82961e7i | −1.58431 | − | 0.118727i | ||||
\(621\) | −9.18966e8 | − | 3.60668e8i | −3.83729 | − | 1.50603i | ||||
\(622\) | −6.28098e7 | + | 4.16716e8i | −0.261009 | + | 1.73168i | ||||
\(623\) | −3.25682e8 | + | 1.56840e8i | −1.34688 | + | 0.648624i | ||||
\(624\) | −3.06849e8 | − | 6.37179e8i | −1.26291 | − | 2.62245i | ||||
\(625\) | 2.58256e8 | + | 3.89259e7i | 1.05782 | + | 0.159440i | ||||
\(626\) | −1.95033e8 | + | 4.96935e8i | −0.795031 | + | 2.02571i | ||||
\(627\) | 5.13474e6 | − | 6.85184e7i | 0.0208313 | − | 0.277974i | ||||
\(628\) | −4.33598e8 | + | 4.67308e8i | −1.75069 | + | 1.88679i | ||||
\(629\) | −5.13319e7 | − | 1.17162e7i | −0.206270 | − | 0.0470797i | ||||
\(630\) | −2.67161e8 | − | 1.77250e9i | −1.06844 | − | 7.08866i | ||||
\(631\) | 9.53949e6 | + | 1.39919e7i | 0.0379697 | + | 0.0556913i | 0.844754 | − | 0.535154i | \(-0.179747\pi\) |
−0.806785 | + | 0.590846i | \(0.798794\pi\) | |||||||
\(632\) | 1.62191e8 | − | 5.25810e8i | 0.642503 | − | 2.08294i | ||||
\(633\) | 3.31790e6 | + | 4.42742e7i | 0.0130813 | + | 0.174558i | ||||
\(634\) | 5.51716e8 | + | 4.39979e8i | 2.16495 | + | 1.72649i | ||||
\(635\) | 9.80231e7 | + | 3.17783e8i | 0.382831 | + | 1.24111i | ||||
\(636\) | 7.79156e8 | − | 3.05796e8i | 3.02868 | − | 1.18867i | ||||
\(637\) | −9.19533e7 | − | 4.02874e8i | −0.355753 | − | 1.55866i | ||||
\(638\) | −7.77895e7 | + | 1.34735e8i | −0.299543 | + | 0.518823i | ||||
\(639\) | 7.14424e8 | − | 4.12473e8i | 2.73813 | − | 1.58086i | ||||
\(640\) | 3.21910e8 | − | 2.98689e8i | 1.22799 | − | 1.13941i | ||||
\(641\) | 2.20236e8 | − | 1.75633e8i | 0.836210 | − | 0.666855i | −0.108740 | − | 0.994070i | \(-0.534682\pi\) |
0.944950 | + | 0.327215i | \(0.106110\pi\) | |||||||
\(642\) | −6.19628e8 | − | 4.22455e8i | −2.34167 | − | 1.59652i | ||||
\(643\) | 1.37488e8 | + | 6.62108e7i | 0.517168 | + | 0.249055i | 0.674214 | − | 0.738536i | \(-0.264483\pi\) |
−0.157045 | + | 0.987591i | \(0.550197\pi\) | |||||||
\(644\) | 1.09829e9i | 4.11205i | ||||||||
\(645\) | −6.55784e7 | − | 5.26155e8i | −0.244389 | − | 1.96081i | ||||
\(646\) | −4.75239e7 | −0.176285 | ||||||||
\(647\) | −2.10237e8 | + | 4.36561e8i | −0.776240 | + | 1.61188i | 0.0146291 | + | 0.999893i | \(0.495343\pi\) |
−0.790869 | + | 0.611986i | \(0.790371\pi\) | |||||||
\(648\) | −9.39486e8 | + | 1.37797e9i | −3.45275 | + | 5.06426i | ||||
\(649\) | −5.06672e7 | − | 6.35347e7i | −0.185350 | − | 0.232422i | ||||
\(650\) | 3.14725e7 | + | 3.39193e7i | 0.114602 | + | 0.123511i | ||||
\(651\) | 2.92795e8 | + | 5.07136e8i | 1.06126 | + | 1.83815i | ||||
\(652\) | 2.90752e8 | + | 1.67865e8i | 1.04901 | + | 0.605646i | ||||
\(653\) | −4.85828e8 | + | 1.10887e8i | −1.74479 | + | 0.398237i | −0.971730 | − | 0.236096i | \(-0.924132\pi\) |
−0.773060 | + | 0.634333i | \(0.781275\pi\) | |||||||
\(654\) | 3.15837e8 | + | 8.04739e8i | 1.12909 | + | 2.87688i | ||||
\(655\) | 2.66970e8 | − | 8.23493e7i | 0.950033 | − | 0.293046i | ||||
\(656\) | 6.54368e7 | − | 8.20551e7i | 0.231798 | − | 0.290666i | ||||
\(657\) | −2.00031e8 | + | 1.49903e7i | −0.705346 | + | 0.0528584i | ||||
\(658\) | 9.97485e8 | + | 3.07683e8i | 3.50129 | + | 1.08001i | ||||
\(659\) | 3.10300e8 | − | 2.11559e8i | 1.08424 | − | 0.739223i | 0.117013 | − | 0.993130i | \(-0.462668\pi\) |
0.967229 | + | 0.253907i | \(0.0817157\pi\) | |||||||
\(660\) | 6.18753e8 | − | 9.32621e7i | 2.15222 | − | 0.324394i | ||||
\(661\) | 5.86863e7 | − | 2.57121e8i | 0.203204 | − | 0.890295i | −0.765767 | − | 0.643119i | \(-0.777640\pi\) |
0.968971 | − | 0.247176i | \(-0.0795026\pi\) | |||||||
\(662\) | 2.61864e8 | + | 2.42975e8i | 0.902615 | + | 0.837504i | ||||
\(663\) | 2.59389e8 | + | 1.94385e7i | 0.890043 | + | 0.0666995i | ||||
\(664\) | −2.25244e8 | − | 8.84016e7i | −0.769393 | − | 0.301964i | ||||
\(665\) | −1.87095e7 | + | 1.24130e8i | −0.0636207 | + | 0.422095i | ||||
\(666\) | 7.06079e8 | − | 3.40030e8i | 2.39018 | − | 1.15105i | ||||
\(667\) | −1.09576e8 | − | 2.27536e8i | −0.369263 | − | 0.766783i | ||||
\(668\) | 9.62899e8 | + | 1.45134e8i | 3.23036 | + | 0.486899i | ||||
\(669\) | 3.07567e8 | − | 7.83668e8i | 1.02721 | − | 2.61730i | ||||
\(670\) | 7.15122e6 | − | 9.54264e7i | 0.0237769 | − | 0.317281i | ||||
\(671\) | −5.97126e7 | + | 6.43549e7i | −0.197651 | + | 0.213017i | ||||
\(672\) | 1.97269e8 | + | 4.50253e7i | 0.650055 | + | 0.148371i | ||||
\(673\) | −3.05744e7 | − | 2.02848e8i | −0.100303 | − | 0.665466i | −0.981320 | − | 0.192382i | \(-0.938379\pi\) |
0.881017 | − | 0.473084i | \(-0.156859\pi\) | |||||||
\(674\) | −2.65215e8 | − | 3.88999e8i | −0.866200 | − | 1.27048i | ||||
\(675\) | 2.12521e7 | − | 6.88976e7i | 0.0691019 | − | 0.224023i | ||||
\(676\) | −2.98766e7 | − | 3.98676e8i | −0.0967144 | − | 1.29056i | ||||
\(677\) | −8.41803e7 | − | 6.71315e7i | −0.271297 | − | 0.216352i | 0.478385 | − | 0.878150i | \(-0.341222\pi\) |
−0.749682 | + | 0.661798i | \(0.769794\pi\) | |||||||
\(678\) | 3.91867e7 | + | 1.27040e8i | 0.125733 | + | 0.407617i | ||||
\(679\) | −6.90445e8 | + | 2.70980e8i | −2.20556 | + | 0.865620i | ||||
\(680\) | −4.96577e7 | − | 2.17564e8i | −0.157928 | − | 0.691929i | ||||
\(681\) | −6.89571e7 | + | 1.19437e8i | −0.218342 | + | 0.378180i | ||||
\(682\) | −1.90403e8 | + | 1.09929e8i | −0.600234 | + | 0.346545i | ||||
\(683\) | 3.67057e8 | − | 3.40579e8i | 1.15205 | − | 1.06895i | 0.155342 | − | 0.987861i | \(-0.450352\pi\) |
0.996707 | − | 0.0810844i | \(-0.0258383\pi\) | |||||||
\(684\) | 3.72571e8 | − | 2.97115e8i | 1.16424 | − | 0.928447i | ||||
\(685\) | 5.62110e7 | + | 3.83240e7i | 0.174884 | + | 0.119234i | ||||
\(686\) | 1.93708e8 | + | 9.32848e7i | 0.600033 | + | 0.288960i | ||||
\(687\) | − | 8.51143e7i | − | 0.262502i | ||||||
\(688\) | 3.77908e8 | + | 9.64964e7i | 1.16043 | + | 0.296310i | ||||
\(689\) | 3.45062e8 | 1.05497 | ||||||||
\(690\) | −6.54189e8 | + | 1.35844e9i | −1.99139 | + | 4.13516i | ||||
\(691\) | −6.87563e7 | + | 1.00847e8i | −0.208391 | + | 0.305653i | −0.916177 | − | 0.400773i | \(-0.868741\pi\) |
0.707787 | + | 0.706426i | \(0.249694\pi\) | |||||||
\(692\) | −4.01391e8 | − | 5.03328e8i | −1.21129 | − | 1.51891i | ||||
\(693\) | −4.76926e8 | − | 5.14004e8i | −1.43302 | − | 1.54442i | ||||
\(694\) | −3.32976e8 | − | 5.76732e8i | −0.996173 | − | 1.72542i | ||||
\(695\) | −5.68001e8 | − | 3.27936e8i | −1.69198 | − | 0.976864i | ||||
\(696\) | −7.48607e8 | + | 1.70865e8i | −2.22037 | + | 0.506786i | ||||
\(697\) | 1.41028e7 | + | 3.59335e7i | 0.0416494 | + | 0.106121i | ||||
\(698\) | −2.92175e8 | + | 9.01240e7i | −0.859165 | + | 0.265017i | ||||
\(699\) | −4.23701e7 | + | 5.31304e7i | −0.124059 | + | 0.155565i | ||||
\(700\) | −7.99892e7 | + | 5.99436e6i | −0.233205 | + | 0.0174763i | ||||
\(701\) | 3.13009e8 | + | 9.65504e7i | 0.908662 | + | 0.280285i | 0.713639 | − | 0.700513i | \(-0.247046\pi\) |
0.195023 | + | 0.980799i | \(0.437522\pi\) | |||||||
\(702\) | −1.98284e9 | + | 1.35188e9i | −5.73160 | + | 3.90774i | ||||
\(703\) | −5.42694e7 | + | 8.17980e6i | −0.156203 | + | 0.0235438i | ||||
\(704\) | 3.27079e7 | − | 1.43303e8i | 0.0937422 | − | 0.410711i | ||||
\(705\) | 7.07696e8 | + | 6.56646e8i | 2.01966 | + | 1.87397i | ||||
\(706\) | 4.84677e8 | + | 3.63215e7i | 1.37733 | + | 0.103217i | ||||
\(707\) | 4.22940e8 | + | 1.65992e8i | 1.19680 | + | 0.469709i | ||||
\(708\) | 1.15933e8 | − | 7.69164e8i | 0.326668 | − | 2.16730i | ||||
\(709\) | −1.54836e8 | + | 7.45651e7i | −0.434443 | + | 0.209217i | −0.638306 | − | 0.769783i | \(-0.720365\pi\) |
0.203863 | + | 0.978999i | \(0.434650\pi\) | |||||||
\(710\) | −3.38848e8 | − | 7.03626e8i | −0.946739 | − | 1.96592i | ||||
\(711\) | −1.09361e9 | − | 1.64835e8i | −3.04265 | − | 0.458606i | ||||
\(712\) | 2.44716e8 | − | 6.23526e8i | 0.677989 | − | 1.72749i | ||||
\(713\) | 2.66703e7 | − | 3.55891e8i | 0.0735800 | − | 0.981856i | ||||
\(714\) | −4.55267e8 | + | 4.90661e8i | −1.25075 | + | 1.34799i | ||||
\(715\) | 2.51496e8 | + | 5.74023e7i | 0.688039 | + | 0.157040i | ||||
\(716\) | 4.60176e7 | + | 3.05307e8i | 0.125367 | + | 0.831759i | ||||
\(717\) | −4.07370e8 | − | 5.97502e8i | −1.10518 | − | 1.62100i | ||||
\(718\) | 5.04687e7 | − | 1.63616e8i | 0.136348 | − | 0.442029i | ||||
\(719\) | 1.62953e7 | + | 2.17446e8i | 0.0438406 | + | 0.585012i | 0.975260 | + | 0.221063i | \(0.0709526\pi\) |
−0.931419 | + | 0.363949i | \(0.881428\pi\) | |||||||
\(720\) | 9.53426e8 | + | 7.60332e8i | 2.55440 | + | 2.03707i | ||||
\(721\) | 2.07757e7 | + | 6.73531e7i | 0.0554306 | + | 0.179702i | ||||
\(722\) | 5.67201e8 | − | 2.22610e8i | 1.50704 | − | 0.591470i | ||||
\(723\) | 2.51175e8 | + | 1.10047e9i | 0.664602 | + | 2.91181i | ||||
\(724\) | −4.93225e8 | + | 8.54291e8i | −1.29966 | + | 2.25108i | ||||
\(725\) | 1.59736e7 | − | 9.22235e6i | 0.0419168 | − | 0.0242007i | ||||
\(726\) | −6.69298e8 | + | 6.21018e8i | −1.74908 | + | 1.62291i | ||||
\(727\) | −6.81841e7 | + | 5.43750e7i | −0.177452 | + | 0.141513i | −0.708188 | − | 0.706024i | \(-0.750487\pi\) |
0.530736 | + | 0.847537i | \(0.321916\pi\) | |||||||
\(728\) | 1.13743e9 | + | 7.75488e8i | 2.94803 | + | 2.00993i | ||||
\(729\) | 9.53798e8 | + | 4.59325e8i | 2.46192 | + | 1.18560i | ||||
\(730\) | 1.89898e8i | 0.488149i | ||||||||
\(731\) | −1.00235e8 | + | 1.02628e8i | −0.256605 | + | 0.262732i | ||||
\(732\) | −8.40323e8 | −2.14246 | ||||||||
\(733\) | 1.22271e8 | − | 2.53898e8i | 0.310464 | − | 0.644686i | −0.686100 | − | 0.727507i | \(-0.740679\pi\) |
0.996564 | + | 0.0828214i | \(0.0263931\pi\) | |||||||
\(734\) | −6.00678e8 | + | 8.81033e8i | −1.51899 | + | 2.22794i | ||||
\(735\) | 6.13161e8 | + | 7.68879e8i | 1.54423 | + | 1.93641i | ||||
\(736\) | −8.38771e7 | − | 9.03981e7i | −0.210383 | − | 0.226739i | ||||
\(737\) | −1.87164e7 | − | 3.24177e7i | −0.0467541 | − | 0.0809804i | ||||
\(738\) | −4.97585e8 | − | 2.87281e8i | −1.23794 | − | 0.714723i | ||||
\(739\) | 1.82032e8 | − | 4.15476e7i | 0.451039 | − | 0.102947i | 0.00903368 | − | 0.999959i | \(-0.497124\pi\) |
0.442005 | + | 0.897013i | \(0.354267\pi\) | |||||||
\(740\) | −1.82601e8 | − | 4.65261e8i | −0.450618 | − | 1.14816i | ||||
\(741\) | 2.59089e8 | − | 7.99185e7i | 0.636788 | − | 0.196423i | ||||
\(742\) | −5.53612e8 | + | 6.94207e8i | −1.35517 | + | 1.69933i | ||||
\(743\) | 5.97166e7 | − | 4.47514e6i | 0.145589 | − | 0.0109104i | −0.00173616 | − | 0.999998i | \(-0.500553\pi\) |
0.147325 | + | 0.989088i | \(0.452934\pi\) | |||||||
\(744\) | −1.03690e9 | − | 3.19842e8i | −2.51778 | − | 0.776634i | ||||
\(745\) | 5.21545e8 | − | 3.55584e8i | 1.26131 | − | 0.859949i | ||||
\(746\) | −8.20754e7 | + | 1.23709e7i | −0.197695 | + | 0.0297978i | ||||
\(747\) | −1.08220e8 | + | 4.74142e8i | −0.259624 | + | 1.13749i | ||||
\(748\) | −1.24104e8 | − | 1.15152e8i | −0.296539 | − | 0.275148i | ||||
\(749\) | 5.34450e8 | + | 4.00515e7i | 1.27193 | + | 0.0953177i | ||||
\(750\) | 1.25592e9 | + | 4.92913e8i | 2.97700 | + | 1.16839i | ||||
\(751\) | −1.62777e7 | + | 1.07996e8i | −0.0384303 | + | 0.254968i | −0.999794 | − | 0.0203142i | \(-0.993533\pi\) |
0.961363 | + | 0.275283i | \(0.0887714\pi\) | |||||||
\(752\) | −6.39826e8 | + | 3.08124e8i | −1.50456 | + | 0.724556i | ||||
\(753\) | −5.03964e8 | − | 1.04649e9i | −1.18036 | − | 2.45104i | ||||
\(754\) | −6.07065e8 | − | 9.15003e7i | −1.41619 | − | 0.213456i | ||||
\(755\) | 1.94019e8 | − | 4.94352e8i | 0.450819 | − | 1.14867i | ||||
\(756\) | 3.10894e8 | − | 4.14859e9i | 0.719526 | − | 9.60140i | ||||
\(757\) | 5.61185e8 | − | 6.04813e8i | 1.29365 | − | 1.39423i | 0.420118 | − | 0.907470i | \(-0.361989\pi\) |
0.873537 | − | 0.486758i | \(-0.161821\pi\) | |||||||
\(758\) | −5.78219e8 | − | 1.31975e8i | −1.32765 | − | 0.303028i | ||||
\(759\) | 8.79036e7 | + | 5.83203e8i | 0.201040 | + | 1.33381i | ||||
\(760\) | −1.31035e8 | − | 1.92194e8i | −0.298503 | − | 0.437823i | ||||
\(761\) | −6.30995e7 | + | 2.04563e8i | −0.143176 | + | 0.464167i | −0.998549 | − | 0.0538462i | \(-0.982852\pi\) |
0.855373 | + | 0.518013i | \(0.173328\pi\) | |||||||
\(762\) | 1.38126e8 | + | 1.84316e9i | 0.312183 | + | 4.16579i | ||||
\(763\) | −4.83031e8 | − | 3.85204e8i | −1.08743 | − | 0.867197i | ||||
\(764\) | −1.42107e7 | − | 4.60699e7i | −0.0318665 | − | 0.103309i | ||||
\(765\) | −4.17523e8 | + | 1.63866e8i | −0.932601 | + | 0.366019i | ||||
\(766\) | −2.02334e8 | − | 8.86484e8i | −0.450177 | − | 1.97235i | ||||
\(767\) | 1.60336e8 | − | 2.77710e8i | 0.355340 | − | 0.615467i | ||||
\(768\) | 1.52350e9 | − | 8.79592e8i | 3.36324 | − | 1.94177i | ||||
\(769\) | −2.20131e8 | + | 2.04252e8i | −0.484063 | + | 0.449145i | −0.884061 | − | 0.467371i | \(-0.845201\pi\) |
0.399998 | + | 0.916516i | \(0.369011\pi\) | |||||||
\(770\) | −5.18981e8 | + | 4.13873e8i | −1.13679 | + | 0.906557i | ||||
\(771\) | 4.95977e8 | + | 3.38151e8i | 1.08218 | + | 0.737816i | ||||
\(772\) | −5.27062e8 | − | 2.53820e8i | −1.14554 | − | 0.551662i | ||||
\(773\) | 4.81812e8i | 1.04313i | 0.853211 | + | 0.521566i | \(0.174652\pi\) | ||||
−0.853211 | + | 0.521566i | \(0.825348\pi\) | |||||||
\(774\) | 2.14022e8 | − | 2.12448e9i | 0.461568 | − | 4.58174i | ||||
\(775\) | 2.60654e7 | 0.0559962 | ||||||||
\(776\) | 5.96337e8 | − | 1.23831e9i | 1.27616 | − | 2.64998i | ||||
\(777\) | −4.35435e8 | + | 6.38666e8i | −0.928240 | + | 1.36148i | ||||
\(778\) | −6.30612e7 | − | 7.90762e7i | −0.133913 | − | 0.167922i | ||||
\(779\) | 2.73682e7 | + | 2.94959e7i | 0.0578940 | + | 0.0623949i | ||||
\(780\) | 1.23461e9 | + | 2.13840e9i | 2.60162 | + | 4.50614i | ||||
\(781\) | −2.64564e8 | − | 1.52746e8i | −0.555363 | − | 0.320639i | ||||
\(782\) | 3.97703e8 | − | 9.07730e7i | 0.831646 | − | 0.189818i | ||||
\(783\) | 3.49494e8 | + | 8.90495e8i | 0.728038 | + | 1.85501i | ||||
\(784\) | −6.91272e8 | + | 2.13229e8i | −1.43450 | + | 0.442485i | ||||
\(785\) | 3.89950e8 | − | 4.88982e8i | 0.806121 | − | 1.01084i | ||||
\(786\) | 1.54844e9 | − | 1.16039e8i | 3.18879 | − | 0.238967i | ||||
\(787\) | 6.10716e7 | + | 1.88381e7i | 0.125290 | + | 0.0386467i | 0.356766 | − | 0.934194i | \(-0.383879\pi\) |
−0.231476 | + | 0.972841i | \(0.574356\pi\) | |||||||
\(788\) | 3.97126e8 | − | 2.70756e8i | 0.811614 | − | 0.553349i | ||||
\(789\) | −1.33177e8 | + | 2.00732e7i | −0.271142 | + | 0.0408681i | ||||
\(790\) | −2.32979e8 | + | 1.02075e9i | −0.472536 | + | 2.07032i | ||||
\(791\) | −6.96482e7 | − | 6.46240e7i | −0.140728 | − | 0.130576i | ||||
\(792\) | 1.29567e9 | + | 9.70973e7i | 2.60807 | + | 0.195448i | ||||
\(793\) | −3.22478e8 | − | 1.26563e8i | −0.646667 | − | 0.253798i | ||||
\(794\) | −3.48129e7 | + | 2.30968e8i | −0.0695470 | + | 0.461414i | ||||
\(795\) | −7.39870e8 | + | 3.56302e8i | −1.47250 | + | 0.709116i | ||||
\(796\) | 7.56022e8 | + | 1.56990e9i | 1.49898 | + | 3.11266i | ||||
\(797\) | 4.67825e8 | + | 7.05133e7i | 0.924077 | + | 0.139282i | 0.593810 | − | 0.804605i | \(-0.297623\pi\) |
0.330267 | + | 0.943887i | \(0.392861\pi\) | |||||||
\(798\) | −2.54896e8 | + | 6.49465e8i | −0.501597 | + | 1.27805i | ||||
\(799\) | 1.95193e7 | − | 2.60466e8i | 0.0382669 | − | 0.510636i | ||||
\(800\) | 6.12597e6 | − | 6.60223e6i | 0.0119648 | − | 0.0128950i | ||||
\(801\) | −1.31253e9 | − | 2.99577e8i | −2.55395 | − | 0.582923i | ||||
\(802\) | −1.52646e8 | − | 1.01274e9i | −0.295912 | − | 1.96325i | ||||
\(803\) | 4.18450e7 | + | 6.13754e7i | 0.0808160 | + | 0.118535i | ||||
\(804\) | 1.05612e8 | − | 3.42385e8i | 0.203210 | − | 0.658790i | ||||
\(805\) | −8.05236e7 | − | 1.07451e9i | −0.154360 | − | 2.05980i | ||||
\(806\) | −6.78295e8 | − | 5.40922e8i | −1.29543 | − | 1.03307i | ||||
\(807\) | −4.71901e7 | − | 1.52987e8i | −0.0897905 | − | 0.291094i | ||||
\(808\) | −7.83717e8 | + | 3.07586e8i | −1.48568 | + | 0.583086i | ||||
\(809\) | 1.60500e8 | + | 7.03197e8i | 0.303131 | + | 1.32810i | 0.865373 | + | 0.501129i | \(0.167082\pi\) |
−0.562242 | + | 0.826973i | \(0.690061\pi\) | |||||||
\(810\) | 1.58667e9 | − | 2.74819e9i | 2.98559 | − | 5.17120i | ||||
\(811\) | 2.28837e8 | − | 1.32119e8i | 0.429006 | − | 0.247687i | −0.269917 | − | 0.962884i | \(-0.586996\pi\) |
0.698923 | + | 0.715197i | \(0.253663\pi\) | |||||||
\(812\) | 7.80158e8 | − | 7.23881e8i | 1.45718 | − | 1.35207i | ||||
\(813\) | −3.00506e8 | + | 2.39646e8i | −0.559219 | + | 0.445963i | ||||
\(814\) | −2.39786e8 | − | 1.63483e8i | −0.444580 | − | 0.303110i | ||||
\(815\) | −2.96765e8 | − | 1.42915e8i | −0.548201 | − | 0.264000i | ||||
\(816\) | − | 4.55362e8i | − | 0.838081i | ||||||
\(817\) | −5.81758e7 | + | 1.37752e8i | −0.106678 | + | 0.252599i | ||||
\(818\) | −5.20410e8 | −0.950792 | ||||||||
\(819\) | 1.20051e9 | − | 2.49289e9i | 2.18532 | − | 4.53787i | ||||
\(820\) | −2.06421e8 | + | 3.02764e8i | −0.374380 | + | 0.549114i | ||||
\(821\) | 2.88127e8 | + | 3.61300e8i | 0.520661 | + | 0.652888i | 0.970749 | − | 0.240096i | \(-0.0771788\pi\) |
−0.450088 | + | 0.892984i | \(0.648607\pi\) | |||||||
\(822\) | 2.57185e8 | + | 2.77180e8i | 0.463053 | + | 0.499052i | ||||
\(823\) | 3.17554e8 | + | 5.50019e8i | 0.569662 | + | 0.986684i | 0.996599 | + | 0.0824025i | \(0.0262593\pi\) |
−0.426937 | + | 0.904281i | \(0.640407\pi\) | |||||||
\(824\) | −1.13111e8 | − | 6.53047e7i | −0.202173 | − | 0.116725i | ||||
\(825\) | −4.19954e7 | + | 9.58517e6i | −0.0747893 | + | 0.0170702i | ||||
\(826\) | 3.01466e8 | + | 7.68122e8i | 0.534931 | + | 1.36298i | ||||
\(827\) | 5.83256e7 | − | 1.79911e7i | 0.103120 | − | 0.0318083i | −0.242766 | − | 0.970085i | \(-0.578055\pi\) |
0.345886 | + | 0.938277i | \(0.387578\pi\) | |||||||
\(828\) | −2.55035e9 | + | 3.19803e9i | −4.49271 | + | 5.63368i | ||||
\(829\) | −2.37074e8 | + | 1.77662e7i | −0.416121 | + | 0.0311840i | −0.281146 | − | 0.959665i | \(-0.590714\pi\) |
−0.134975 | + | 0.990849i | \(0.543095\pi\) | |||||||
\(830\) | 4.39953e8 | + | 1.35707e8i | 0.769434 | + | 0.237339i | ||||
\(831\) | 3.57552e8 | − | 2.43775e8i | 0.623070 | − | 0.424802i | ||||
\(832\) | 5.73544e8 | − | 8.64478e7i | 0.995856 | − | 0.150101i | ||||
\(833\) | 5.92069e7 | − | 2.59402e8i | 0.102432 | − | 0.448785i | ||||
\(834\) | −2.67217e9 | − | 2.47942e9i | −4.60645 | − | 4.27416i | ||||
\(835\) | −9.52696e8 | − | 7.13947e7i | −1.63642 | − | 0.122633i | ||||
\(836\) | −1.64271e8 | − | 6.44716e7i | −0.281152 | − | 0.110344i | ||||
\(837\) | −2.01485e8 | + | 1.33676e9i | −0.343610 | + | 2.27970i | ||||
\(838\) | 3.73673e8 | − | 1.79951e8i | 0.634979 | − | 0.305790i | ||||
\(839\) | 2.50964e8 | + | 5.21132e8i | 0.424938 | + | 0.882392i | 0.998020 | + | 0.0628944i | \(0.0200331\pi\) |
−0.573083 | + | 0.819498i | \(0.694253\pi\) | |||||||
\(840\) | −3.23959e9 | − | 4.88290e8i | −5.46579 | − | 0.823835i | ||||
\(841\) | 1.27906e8 | − | 3.25900e8i | 0.215033 | − | 0.547895i | ||||
\(842\) | −1.20681e8 | + | 1.61037e9i | −0.202163 | + | 2.69768i | ||||
\(843\) | −3.61010e7 | + | 3.89076e7i | −0.0602610 | + | 0.0649459i | ||||
\(844\) | 1.11170e8 | + | 2.53738e7i | 0.184909 | + | 0.0422044i | ||||
\(845\) | 5.84598e7 | + | 3.87855e8i | 0.0968918 | + | 0.642835i | ||||
\(846\) | 2.19004e9 | + | 3.21220e9i | 3.61693 | + | 5.30507i | ||||
\(847\) | 1.92329e8 | − | 6.23514e8i | 0.316515 | − | 1.02611i | ||||
\(848\) | −4.51421e7 | − | 6.02379e8i | −0.0740276 | − | 0.987830i | ||||
\(849\) | 1.36790e9 | + | 1.09087e9i | 2.23528 | + | 1.78258i | ||||
\(850\) | 8.78170e6 | + | 2.84696e7i | 0.0142995 | + | 0.0463580i | ||||
\(851\) | 4.38529e8 | − | 1.72110e8i | 0.711557 | − | 0.279265i | ||||
\(852\) | −6.50684e8 | − | 2.85083e9i | −1.05209 | − | 4.60949i | ||||
\(853\) | −4.27166e7 | + | 7.39873e7i | −0.0688255 | + | 0.119209i | −0.898385 | − | 0.439210i | \(-0.855258\pi\) |
0.829559 | + | 0.558419i | \(0.188592\pi\) | |||||||
\(854\) | 7.72003e8 | − | 4.45716e8i | 1.23950 | − | 0.715624i | ||||
\(855\) | −3.42722e8 | + | 3.18000e8i | −0.548333 | + | 0.508778i | ||||
\(856\) | −7.76456e8 | + | 6.19203e8i | −1.23793 | + | 0.987215i | ||||
\(857\) | 9.61546e7 | + | 6.55571e7i | 0.152766 | + | 0.104154i | 0.637291 | − | 0.770623i | \(-0.280055\pi\) |
−0.484525 | + | 0.874778i | \(0.661007\pi\) | |||||||
\(858\) | 1.29175e9 | + | 6.22076e8i | 2.04512 | + | 0.984876i | ||||
\(859\) | − | 5.87245e8i | − | 0.926488i | −0.886231 | − | 0.463244i | \(-0.846685\pi\) | ||
0.886231 | − | 0.463244i | \(-0.153315\pi\) | |||||||
\(860\) | −1.34094e9 | − | 2.37368e8i | −2.10820 | − | 0.373187i | ||||
\(861\) | 5.66711e8 | 0.887875 | ||||||||
\(862\) | −5.73569e8 | + | 1.19103e9i | −0.895496 | + | 1.85952i | ||||
\(863\) | −5.58940e8 | + | 8.19815e8i | −0.869627 | + | 1.27551i | 0.0904866 | + | 0.995898i | \(0.471158\pi\) |
−0.960113 | + | 0.279611i | \(0.909795\pi\) | |||||||
\(864\) | 2.91242e8 | + | 3.65206e8i | 0.451557 | + | 0.566235i | ||||
\(865\) | 4.29605e8 | + | 4.63004e8i | 0.663775 | + | 0.715379i | ||||
\(866\) | −9.62372e8 | − | 1.66688e9i | −1.48180 | − | 2.56655i | ||||
\(867\) | −9.30362e8 | − | 5.37145e8i | −1.42756 | − | 0.824203i | ||||
\(868\) | 1.46627e9 | − | 3.34666e8i | 2.24209 | − | 0.511743i | ||||
\(869\) | 1.49627e8 | + | 3.81245e8i | 0.228009 | + | 0.580958i | ||||
\(870\) | 1.39613e9 | − | 4.30649e8i | 2.12016 | − | 0.653982i | ||||
\(871\) | 9.20966e7 | − | 1.15486e8i | 0.139376 | − | 0.174772i | ||||
\(872\) | 1.14163e9 | − | 8.55534e7i | 1.72177 | − | 0.129029i | ||||
\(873\) | −2.63971e9 | − | 8.14242e8i | −3.96747 | − | 1.22380i | ||||
\(874\) | 3.51326e8 | − | 2.39530e8i | 0.526230 | − | 0.358777i | ||||
\(875\) | −9.53436e8 | + | 1.43707e8i | −1.42320 | + | 0.214514i | ||||
\(876\) | −1.58219e8 | + | 6.93203e8i | −0.235368 | + | 1.03121i | ||||
\(877\) | −2.36693e8 | − | 2.19619e8i | −0.350902 | − | 0.325590i | 0.484953 | − | 0.874540i | \(-0.338837\pi\) |
−0.835855 | + | 0.548951i | \(0.815027\pi\) | |||||||
\(878\) | 2.01952e9 | + | 1.51342e8i | 2.98377 | + | 0.223603i | ||||
\(879\) | −8.48860e8 | − | 3.33153e8i | −1.24988 | − | 0.490543i | ||||
\(880\) | 6.73065e7 | − | 4.46550e8i | 0.0987664 | − | 0.655272i | ||||
\(881\) | 4.89665e8 | − | 2.35810e8i | 0.716096 | − | 0.344854i | −0.0401030 | − | 0.999196i | \(-0.512769\pi\) |
0.756199 | + | 0.654342i | \(0.227054\pi\) | |||||||
\(882\) | 1.71832e9 | + | 3.56812e9i | 2.50436 | + | 5.20036i | ||||
\(883\) | 5.17139e8 | + | 7.79462e7i | 0.751147 | + | 0.113217i | 0.513447 | − | 0.858121i | \(-0.328368\pi\) |
0.237700 | + | 0.971339i | \(0.423606\pi\) | |||||||
\(884\) | 2.44069e8 | − | 6.21878e8i | 0.353310 | − | 0.900219i | ||||
\(885\) | −5.70301e7 | + | 7.61014e8i | −0.0822763 | + | 1.09790i | ||||
\(886\) | −1.58309e9 | + | 1.70617e9i | −2.27617 | + | 2.45313i | ||||
\(887\) | 9.53750e8 | + | 2.17687e8i | 1.36667 | + | 0.311934i | 0.842048 | − | 0.539402i | \(-0.181350\pi\) |
0.524622 | + | 0.851335i | \(0.324207\pi\) | |||||||
\(888\) | −2.13480e8 | − | 1.41635e9i | −0.304873 | − | 2.02270i | ||||
\(889\) | −7.44100e8 | − | 1.09139e9i | −1.05907 | − | 1.55338i | ||||
\(890\) | −3.75669e8 | + | 1.21789e9i | −0.532888 | + | 1.72758i | ||||
\(891\) | −9.27639e7 | − | 1.23785e9i | −0.131143 | − | 1.74998i | ||||
\(892\) | −1.69044e9 | − | 1.34808e9i | −2.38181 | − | 1.89943i | ||||
\(893\) | −8.02505e7 | − | 2.60166e8i | −0.112692 | − | 0.365339i | ||||
\(894\) | 3.26579e9 | − | 1.28173e9i | 4.57063 | − | 1.79384i | ||||
\(895\) | −6.74058e7 | − | 2.95324e8i | −0.0940217 | − | 0.411936i | ||||
\(896\) | −8.72126e8 | + | 1.51057e9i | −1.21243 | + | 2.09998i | ||||
\(897\) | −2.01554e9 | + | 1.16367e9i | −2.79263 | + | 1.61233i | ||||
\(898\) | −3.63966e6 | + | 3.37711e6i | −0.00502611 | + | 0.00466354i | ||||
\(899\) | −2.70382e8 | + | 2.15622e8i | −0.372133 | + | 0.296767i | ||||
\(900\) | −2.46835e8 | − | 1.68289e8i | −0.338594 | − | 0.230850i | ||||
\(901\) | 2.00176e8 | + | 9.63995e7i | 0.273676 | + | 0.131795i | ||||
\(902\) | 2.12770e8i | 0.289929i | ||||||||
\(903\) | 8.64911e8 | + | 1.92026e9i | 1.17465 | + | 2.60794i | ||||
\(904\) | 1.76058e8 | 0.238314 | ||||||||
\(905\) | 4.19914e8 | − | 8.71961e8i | 0.566519 | − | 1.17639i | ||||
\(906\) | 1.66269e9 | − | 2.43872e9i | 2.23577 | − | 3.27927i | ||||
\(907\) | −1.14503e8 | − | 1.43582e8i | −0.153460 | − | 0.192433i | 0.699158 | − | 0.714967i | \(-0.253558\pi\) |
−0.852619 | + | 0.522534i | \(0.824987\pi\) | |||||||
\(908\) | 2.40921e8 | + | 2.59651e8i | 0.321823 | + | 0.346843i | ||||
\(909\) | 8.46082e8 | + | 1.46546e9i | 1.12647 | + | 1.95111i | ||||
\(910\) | −2.26846e9 | − | 1.30970e9i | −3.01028 | − | 1.73799i | ||||
\(911\) | −1.07677e9 | + | 2.45767e8i | −1.42419 | + | 0.325063i | −0.864081 | − | 0.503353i | \(-0.832100\pi\) |
−0.560113 | + | 0.828416i | \(0.689242\pi\) | |||||||
\(912\) | −1.73410e8 | − | 4.41841e8i | −0.228607 | − | 0.582480i | ||||
\(913\) | 1.72097e8 | − | 5.30849e7i | 0.226131 | − | 0.0697523i | ||||
\(914\) | 9.40392e8 | − | 1.17921e9i | 1.23160 | − | 1.54438i | ||||
\(915\) | 8.22132e8 | − | 6.16103e7i | 1.07319 | − | 0.0804248i | ||||
\(916\) | −2.08888e8 | − | 6.44334e7i | −0.271786 | − | 0.0838348i | ||||
\(917\) | −9.16882e8 | + | 6.25120e8i | −1.18907 | + | 0.810691i | ||||
\(918\) | −1.52795e9 | + | 2.30301e8i | −1.97506 | + | 0.297692i | ||||
\(919\) | −1.03587e8 | + | 4.53843e8i | −0.133462 | + | 0.584735i | 0.863326 | + | 0.504647i | \(0.168377\pi\) |
−0.996788 | + | 0.0800879i | \(0.974480\pi\) | |||||||
\(920\) | 1.46367e9 | + | 1.35809e9i | 1.87966 | + | 1.74407i | ||||
\(921\) | −3.17863e8 | − | 2.38206e7i | −0.406876 | − | 0.0304911i | ||||
\(922\) | 7.25909e8 | + | 2.84898e8i | 0.926167 | + | 0.363494i | ||||
\(923\) | 1.79668e8 | − | 1.19202e9i | 0.228490 | − | 1.51593i | ||||
\(924\) | −2.23931e9 | + | 1.07840e9i | −2.83857 | + | 1.36698i | ||||
\(925\) | 1.49284e7 | + | 3.09991e7i | 0.0188620 | + | 0.0391673i | ||||
\(926\) | −1.38180e9 | − | 2.08273e8i | −1.74026 | − | 0.262302i | ||||
\(927\) | −9.59062e7 | + | 2.44365e8i | −0.120395 | + | 0.306761i | ||||
\(928\) | −8.93001e6 | + | 1.19163e8i | −0.0111740 | + | 0.149106i | ||||
\(929\) | 5.13405e8 | − | 5.53319e8i | 0.640343 | − | 0.690126i | −0.326587 | − | 0.945167i | \(-0.605899\pi\) |
0.966930 | + | 0.255041i | \(0.0820891\pi\) | |||||||
\(930\) | 2.01292e9 | + | 4.59436e8i | 2.50252 | + | 0.571184i | ||||
\(931\) | −4.13360e7 | − | 2.74247e8i | −0.0512247 | − | 0.339854i | ||||
\(932\) | 9.83177e7 | + | 1.44206e8i | 0.121446 | + | 0.178129i | ||||
\(933\) | 4.56308e8 | − | 1.47931e9i | 0.561840 | − | 1.82144i | ||||
\(934\) | −1.72462e8 | − | 2.30134e9i | −0.211666 | − | 2.82449i | ||||
\(935\) | 1.29860e8 | + | 1.03560e8i | 0.158870 | + | 0.126695i | ||||
\(936\) | 1.51125e9 | + | 4.89934e9i | 1.84293 | + | 5.97462i | ||||
\(937\) | −2.08818e8 | + | 8.19549e7i | −0.253833 | + | 0.0996222i | −0.488846 | − | 0.872370i | \(-0.662582\pi\) |
0.235013 | + | 0.971992i | \(0.424487\pi\) | |||||||
\(938\) | 8.45794e7 | + | 3.70567e8i | 0.102484 | + | 0.449012i | ||||
\(939\) | 9.80522e8 | − | 1.69831e9i | 1.18430 | − | 2.05126i | ||||
\(940\) | 2.14728e9 | − | 1.23973e9i | 2.58527 | − | 1.49261i | ||||
\(941\) | −1.70905e8 | + | 1.58577e8i | −0.205110 | + | 0.190314i | −0.776038 | − | 0.630686i | \(-0.782774\pi\) |
0.570929 | + | 0.821000i | \(0.306583\pi\) | |||||||
\(942\) | 2.71772e9 | − | 2.16731e9i | 3.25126 | − | 2.59279i | ||||
\(943\) | −2.85369e8 | − | 1.94561e8i | −0.340307 | − | 0.232018i | ||||
\(944\) | −5.05777e8 | − | 2.43569e8i | −0.601233 | − | 0.289539i | ||||
\(945\) | 4.08158e9i | 4.83652i | ||||||||
\(946\) | −7.20959e8 | + | 3.24729e8i | −0.851602 | + | 0.383572i | ||||
\(947\) | −2.16468e8 | −0.254885 | −0.127442 | − | 0.991846i | \(-0.540677\pi\) | ||||
−0.127442 | + | 0.991846i | \(0.540677\pi\) | |||||||
\(948\) | −1.70093e9 | + | 3.53201e9i | −1.99646 | + | 4.14569i | ||||
\(949\) | −1.65122e8 | + | 2.42190e8i | −0.193200 | + | 0.283373i | ||||
\(950\) | 1.93627e7 | + | 2.42800e7i | 0.0225836 | + | 0.0283190i | ||||
\(951\) | −1.76319e9 | − | 1.90027e9i | −2.05002 | − | 2.20940i | ||||
\(952\) | 4.43195e8 | + | 7.67636e8i | 0.513670 | + | 0.889702i | ||||
\(953\) | 6.75509e8 | + | 3.90006e8i | 0.780464 | + | 0.450601i | 0.836595 | − | 0.547823i | \(-0.184543\pi\) |
−0.0561309 | + | 0.998423i | \(0.517876\pi\) | |||||||
\(954\) | −3.22406e9 | + | 7.35870e8i | −3.71328 | + | 0.847532i | ||||
\(955\) | 1.72808e7 | + | 4.40307e7i | 0.0198405 | + | 0.0505529i | ||||
\(956\) | −1.77478e9 | + | 5.47447e8i | −2.03128 | + | 0.626568i | ||||
\(957\) | 3.56335e8 | − | 4.46830e8i | 0.406558 | − | 0.509808i | ||||
\(958\) | −2.43464e9 | + | 1.82451e8i | −2.76910 | + | 0.207515i | ||||
\(959\) | −2.58219e8 | − | 7.96501e7i | −0.292774 | − | 0.0903089i | ||||
\(960\) | −1.14051e9 | + | 7.77586e8i | −1.28910 | + | 0.878891i | ||||
\(961\) | 3.94333e8 | − | 5.94362e7i | 0.444317 | − | 0.0669701i | ||||
\(962\) | 2.54830e8 | − | 1.11648e9i | 0.286237 | − | 1.25409i | ||||
\(963\) | 1.46323e9 | + | 1.35768e9i | 1.63845 | + | 1.52026i | ||||
\(964\) | 2.89092e9 | + | 2.16645e8i | 3.22705 | + | 0.241834i | ||||
\(965\) | 5.34262e8 | + | 2.09682e8i | 0.594528 | + | 0.233335i | ||||
\(966\) | 8.92583e8 | − | 5.92190e9i | 0.990187 | − | 6.56946i | ||||
\(967\) | 8.48266e8 | − | 4.08504e8i | 0.938108 | − | 0.451769i | 0.0986066 | − | 0.995126i | \(-0.468561\pi\) |
0.839501 | + | 0.543358i | \(0.182847\pi\) | |||||||
\(968\) | 5.24609e8 | + | 1.08936e9i | 0.578375 | + | 1.20101i | ||||
\(969\) | 1.72629e8 | + | 2.60196e7i | 0.189732 | + | 0.0285975i | ||||
\(970\) | −9.55426e8 | + | 2.43439e9i | −1.04684 | + | 2.66731i | ||||
\(971\) | −4.47704e7 | + | 5.97420e8i | −0.0489028 | + | 0.652562i | 0.917863 | + | 0.396898i | \(0.129913\pi\) |
−0.966766 | + | 0.255664i | \(0.917706\pi\) | |||||||
\(972\) | 4.07536e9 | − | 4.39219e9i | 4.43779 | − | 4.78280i | ||||
\(973\) | 2.53981e9 | + | 5.79694e8i | 2.75716 | + | 0.629304i | ||||
\(974\) | 8.68732e7 | + | 5.76366e8i | 0.0940175 | + | 0.623765i | ||||
\(975\) | −9.57517e7 | − | 1.40442e8i | −0.103308 | − | 0.151525i | ||||
\(976\) | −1.78756e8 | + | 5.79511e8i | −0.192269 | + | 0.623322i | ||||
\(977\) | 2.81411e7 | + | 3.75517e8i | 0.0301757 | + | 0.402667i | 0.991756 | + | 0.128142i | \(0.0409014\pi\) |
−0.961580 | + | 0.274524i | \(0.911480\pi\) | |||||||
\(978\) | −1.43129e9 | − | 1.14142e9i | −1.53007 | − | 1.22019i | ||||
\(979\) | 1.46951e8 | + | 4.76404e8i | 0.156612 | + | 0.507724i | ||||
\(980\) | 2.35116e9 | − | 9.22763e8i | 2.49807 | − | 0.980420i | ||||
\(981\) | −5.12020e8 | − | 2.24331e9i | −0.542350 | − | 2.37619i | ||||
\(982\) | 9.01162e8 | − | 1.56086e9i | 0.951630 | − | 1.64827i | ||||
\(983\) | −3.51216e8 | + | 2.02775e8i | −0.369755 | + | 0.213478i | −0.673351 | − | 0.739323i | \(-0.735146\pi\) |
0.303597 | + | 0.952801i | \(0.401812\pi\) | |||||||
\(984\) | −7.69797e8 | + | 7.14267e8i | −0.807962 | + | 0.749679i | ||||
\(985\) | −3.68678e8 | + | 2.94011e8i | −0.385779 | + | 0.307649i | ||||
\(986\) | −3.26606e8 | − | 2.22676e8i | −0.340716 | − | 0.232296i | ||||
\(987\) | −3.45486e9 | − | 1.66377e9i | −3.59318 | − | 1.73039i | ||||
\(988\) | − | 6.96358e8i | − | 0.722041i | ||||||
\(989\) | 2.23730e8 | − | 1.26389e9i | 0.231278 | − | 1.30653i | ||||
\(990\) | −2.47225e9 | −2.54792 | ||||||||
\(991\) | −4.45592e8 | + | 9.25280e8i | −0.457842 | + | 0.950719i | 0.536440 | + | 0.843938i | \(0.319769\pi\) |
−0.994283 | + | 0.106781i | \(0.965946\pi\) | |||||||
\(992\) | −9.51270e7 | + | 1.39526e8i | −0.0974471 | + | 0.142929i | ||||
\(993\) | −8.18182e8 | − | 1.02597e9i | −0.835607 | − | 1.04782i | ||||
\(994\) | 2.10989e9 | + | 2.27393e9i | 2.14833 | + | 2.31535i | ||||
\(995\) | −8.54757e8 | − | 1.48048e9i | −0.867708 | − | 1.50291i | ||||
\(996\) | 1.49293e9 | + | 8.61944e8i | 1.51099 | + | 0.872371i | ||||
\(997\) | 7.34351e8 | − | 1.67611e8i | 0.741000 | − | 0.169128i | 0.164674 | − | 0.986348i | \(-0.447343\pi\) |
0.576326 | + | 0.817220i | \(0.304486\pi\) | |||||||
\(998\) | −2.11971e8 | − | 5.40092e8i | −0.213248 | − | 0.543346i | ||||
\(999\) | −1.70518e9 | + | 5.25980e8i | −1.71031 | + | 0.527561i |
(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.18.3 | yes | 252 | |
43.12 | odd | 42 | inner | 43.7.h.a.12.3 | ✓ | 252 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.7.h.a.12.3 | ✓ | 252 | 43.12 | odd | 42 | inner | |
43.7.h.a.18.3 | yes | 252 | 1.1 | even | 1 | trivial |