Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,6,Mod(5,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.5");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.e (of order \(9\), degree \(6\), 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: | \(6.09458515289\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 23.1 | ||
Character | \(\chi\) | \(=\) | 38.23 |
Dual form | 38.6.e.b.5.1 |
$q$-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 \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.75877 | − | 1.36808i | −0.664463 | − | 0.241845i | ||||
\(3\) | −5.14875 | − | 29.2000i | −0.330292 | − | 1.87318i | −0.469523 | − | 0.882920i | \(-0.655574\pi\) |
0.139231 | − | 0.990260i | \(-0.455537\pi\) | |||||||
\(4\) | 12.2567 | + | 10.2846i | 0.383022 | + | 0.321394i | ||||
\(5\) | 68.5412 | − | 57.5129i | 1.22610 | − | 1.02882i | 0.227620 | − | 0.973750i | \(-0.426906\pi\) |
0.998482 | − | 0.0550720i | \(-0.0175388\pi\) | |||||||
\(6\) | −20.5950 | + | 116.800i | −0.233552 | + | 1.32454i | ||||
\(7\) | 68.7063 | − | 119.003i | 0.529970 | − | 0.917935i | −0.469419 | − | 0.882976i | \(-0.655536\pi\) |
0.999389 | − | 0.0349593i | \(-0.0111302\pi\) | |||||||
\(8\) | −32.0000 | − | 55.4256i | −0.176777 | − | 0.306186i | ||||
\(9\) | −597.784 | + | 217.576i | −2.46002 | + | 0.895373i | ||||
\(10\) | −336.313 | + | 122.408i | −1.06351 | + | 0.387088i | ||||
\(11\) | 152.529 | + | 264.188i | 0.380077 | + | 0.658312i | 0.991073 | − | 0.133321i | \(-0.0425642\pi\) |
−0.610996 | + | 0.791634i | \(0.709231\pi\) | |||||||
\(12\) | 237.204 | − | 410.849i | 0.475519 | − | 0.823623i | ||||
\(13\) | 15.9575 | − | 90.4993i | 0.0261882 | − | 0.148521i | −0.968910 | − | 0.247414i | \(-0.920419\pi\) |
0.995098 | + | 0.0988935i | \(0.0315303\pi\) | |||||||
\(14\) | −421.056 | + | 353.308i | −0.574143 | + | 0.481763i | ||||
\(15\) | −2032.28 | − | 1705.28i | −2.33214 | − | 1.95690i | ||||
\(16\) | 44.4539 | + | 252.111i | 0.0434120 | + | 0.246202i | ||||
\(17\) | 54.3140 | + | 19.7687i | 0.0455816 | + | 0.0165903i | 0.364710 | − | 0.931121i | \(-0.381168\pi\) |
−0.319129 | + | 0.947711i | \(0.603390\pi\) | |||||||
\(18\) | 2544.60 | 1.85113 | ||||||||
\(19\) | 920.562 | + | 1276.19i | 0.585018 | + | 0.811021i | ||||
\(20\) | 1431.59 | 0.800281 | ||||||||
\(21\) | −3828.63 | − | 1393.51i | −1.89450 | − | 0.689543i | ||||
\(22\) | −211.891 | − | 1201.70i | −0.0933376 | − | 0.529344i | ||||
\(23\) | 2223.62 | + | 1865.84i | 0.876479 | + | 0.735453i | 0.965452 | − | 0.260581i | \(-0.0839141\pi\) |
−0.0889731 | + | 0.996034i | \(0.528359\pi\) | |||||||
\(24\) | −1453.67 | + | 1219.77i | −0.515154 | + | 0.432266i | ||||
\(25\) | 847.513 | − | 4806.48i | 0.271204 | − | 1.53807i | ||||
\(26\) | −183.791 | + | 318.335i | −0.0533200 | + | 0.0923530i | ||||
\(27\) | 5828.52 | + | 10095.3i | 1.53868 | + | 2.66508i | ||||
\(28\) | 2066.01 | − | 751.966i | 0.498009 | − | 0.181260i | ||||
\(29\) | −5079.71 | + | 1848.86i | −1.12161 | + | 0.408234i | −0.835241 | − | 0.549884i | \(-0.814672\pi\) |
−0.286374 | + | 0.958118i | \(0.592450\pi\) | |||||||
\(30\) | 5305.90 | + | 9190.09i | 1.07636 | + | 1.86430i | ||||
\(31\) | 2969.66 | − | 5143.60i | 0.555012 | − | 0.961310i | −0.442890 | − | 0.896576i | \(-0.646047\pi\) |
0.997903 | − | 0.0647339i | \(-0.0206199\pi\) | |||||||
\(32\) | 177.816 | − | 1008.44i | 0.0306970 | − | 0.174091i | ||||
\(33\) | 6928.96 | − | 5814.09i | 1.10760 | − | 0.929388i | ||||
\(34\) | −177.109 | − | 148.612i | −0.0262750 | − | 0.0220473i | ||||
\(35\) | −2134.98 | − | 12108.1i | −0.294594 | − | 1.67073i | ||||
\(36\) | −9564.55 | − | 3481.21i | −1.23001 | − | 0.447687i | ||||
\(37\) | −287.050 | −0.0344710 | −0.0172355 | − | 0.999851i | \(-0.505486\pi\) | ||||
−0.0172355 | + | 0.999851i | \(0.505486\pi\) | |||||||
\(38\) | −1714.25 | − | 6056.31i | −0.192581 | − | 0.680377i | ||||
\(39\) | −2724.74 | −0.286856 | ||||||||
\(40\) | −5381.01 | − | 1958.53i | −0.531757 | − | 0.193544i | ||||
\(41\) | −240.363 | − | 1363.17i | −0.0223310 | − | 0.126645i | 0.971604 | − | 0.236611i | \(-0.0760368\pi\) |
−0.993935 | + | 0.109966i | \(0.964926\pi\) | |||||||
\(42\) | 12484.5 | + | 10475.8i | 1.09206 | + | 0.916351i | ||||
\(43\) | 6184.72 | − | 5189.60i | 0.510093 | − | 0.428018i | −0.351069 | − | 0.936350i | \(-0.614182\pi\) |
0.861162 | + | 0.508331i | \(0.169737\pi\) | |||||||
\(44\) | −847.565 | + | 4806.78i | −0.0659996 | + | 0.374303i | ||||
\(45\) | −28459.5 | + | 49293.2i | −2.09505 | + | 3.62874i | ||||
\(46\) | −5805.47 | − | 10055.4i | −0.404522 | − | 0.700653i | ||||
\(47\) | −1477.74 | + | 537.854i | −0.0975784 | + | 0.0355156i | −0.390348 | − | 0.920667i | \(-0.627645\pi\) |
0.292770 | + | 0.956183i | \(0.405423\pi\) | |||||||
\(48\) | 7132.75 | − | 2596.11i | 0.446842 | − | 0.162637i | ||||
\(49\) | −1037.61 | − | 1797.18i | −0.0617365 | − | 0.106931i | ||||
\(50\) | −9761.26 | + | 16907.0i | −0.552180 | + | 0.956404i | ||||
\(51\) | 297.596 | − | 1687.75i | 0.0160214 | − | 0.0908622i | ||||
\(52\) | 1126.34 | − | 945.107i | 0.0577643 | − | 0.0484700i | ||||
\(53\) | −29674.8 | − | 24900.1i | −1.45110 | − | 1.21762i | −0.931772 | − | 0.363045i | \(-0.881737\pi\) |
−0.519330 | − | 0.854574i | \(-0.673818\pi\) | |||||||
\(54\) | −8096.90 | − | 45919.8i | −0.377863 | − | 2.14297i | ||||
\(55\) | 25648.8 | + | 9335.39i | 1.14330 | + | 0.416127i | ||||
\(56\) | −8794.40 | −0.374745 | ||||||||
\(57\) | 32525.0 | − | 33451.2i | 1.32596 | − | 1.36372i | ||||
\(58\) | 21622.8 | 0.844001 | ||||||||
\(59\) | −1902.67 | − | 692.517i | −0.0711597 | − | 0.0259000i | 0.306195 | − | 0.951969i | \(-0.400944\pi\) |
−0.377355 | + | 0.926069i | \(0.623166\pi\) | |||||||
\(60\) | −7370.88 | − | 41802.3i | −0.264327 | − | 1.49907i | ||||
\(61\) | 16685.4 | + | 14000.7i | 0.574131 | + | 0.481753i | 0.883014 | − | 0.469347i | \(-0.155511\pi\) |
−0.308883 | + | 0.951100i | \(0.599955\pi\) | |||||||
\(62\) | −18199.1 | + | 15270.9i | −0.601273 | + | 0.504528i | ||||
\(63\) | −15179.4 | + | 86086.8i | −0.481841 | + | 2.73266i | ||||
\(64\) | −2048.00 | + | 3547.24i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −4111.13 | − | 7120.69i | −0.120692 | − | 0.209044i | ||||
\(66\) | −33998.5 | + | 12374.5i | −0.960728 | + | 0.349676i | ||||
\(67\) | 59312.6 | − | 21588.0i | 1.61421 | − | 0.587525i | 0.631944 | − | 0.775014i | \(-0.282257\pi\) |
0.982267 | + | 0.187490i | \(0.0600351\pi\) | |||||||
\(68\) | 462.398 | + | 800.897i | 0.0121267 | + | 0.0210041i | ||||
\(69\) | 43033.7 | − | 74536.5i | 1.08814 | − | 1.88472i | ||||
\(70\) | −8539.93 | + | 48432.4i | −0.208310 | + | 1.18138i | ||||
\(71\) | −19296.9 | + | 16192.0i | −0.454299 | + | 0.381202i | −0.841028 | − | 0.540991i | \(-0.818049\pi\) |
0.386730 | + | 0.922193i | \(0.373605\pi\) | |||||||
\(72\) | 31188.4 | + | 26170.2i | 0.709025 | + | 0.594943i | ||||
\(73\) | 5900.50 | + | 33463.4i | 0.129593 | + | 0.734958i | 0.978473 | + | 0.206373i | \(0.0661661\pi\) |
−0.848880 | + | 0.528585i | \(0.822723\pi\) | |||||||
\(74\) | 1078.96 | + | 392.708i | 0.0229047 | + | 0.00833663i | ||||
\(75\) | −144713. | −2.97067 | ||||||||
\(76\) | −1842.06 | + | 25109.5i | −0.0365823 | + | 0.498660i | ||||
\(77\) | 41918.9 | 0.805717 | ||||||||
\(78\) | 10241.7 | + | 3727.66i | 0.190605 | + | 0.0693745i | ||||
\(79\) | −2420.67 | − | 13728.3i | −0.0436382 | − | 0.247485i | 0.955184 | − | 0.296014i | \(-0.0956576\pi\) |
−0.998822 | + | 0.0485295i | \(0.984547\pi\) | |||||||
\(80\) | 17546.5 | + | 14723.3i | 0.306526 | + | 0.257206i | ||||
\(81\) | 146355. | − | 122806.i | 2.47853 | − | 2.07973i | ||||
\(82\) | −961.451 | + | 5452.66i | −0.0157904 | + | 0.0895517i | ||||
\(83\) | −40109.9 | + | 69472.5i | −0.639082 | + | 1.10692i | 0.346552 | + | 0.938031i | \(0.387352\pi\) |
−0.985634 | + | 0.168892i | \(0.945981\pi\) | |||||||
\(84\) | −32594.7 | − | 56455.8i | −0.504022 | − | 0.872992i | ||||
\(85\) | 4859.70 | − | 1768.79i | 0.0729562 | − | 0.0265539i | ||||
\(86\) | −30346.7 | + | 11045.3i | −0.442452 | + | 0.161039i | ||||
\(87\) | 80140.9 | + | 138808.i | 1.13516 | + | 1.96615i | ||||
\(88\) | 9761.87 | − | 16908.1i | 0.134377 | − | 0.232749i | ||||
\(89\) | −8648.18 | + | 49046.2i | −0.115731 | + | 0.656343i | 0.870655 | + | 0.491895i | \(0.163695\pi\) |
−0.986386 | + | 0.164448i | \(0.947416\pi\) | |||||||
\(90\) | 174410. | − | 146347.i | 2.26968 | − | 1.90449i | ||||
\(91\) | −9673.29 | − | 8116.85i | −0.122453 | − | 0.102751i | ||||
\(92\) | 8064.87 | + | 45738.1i | 0.0993408 | + | 0.563390i | ||||
\(93\) | −165483. | − | 60231.0i | −1.98402 | − | 0.722125i | ||||
\(94\) | 6290.32 | 0.0734265 | ||||||||
\(95\) | 136494. | + | 34527.5i | 1.55169 | + | 0.392515i | ||||
\(96\) | −30362.1 | −0.336243 | ||||||||
\(97\) | −38298.0 | − | 13939.3i | −0.413282 | − | 0.150423i | 0.127007 | − | 0.991902i | \(-0.459463\pi\) |
−0.540289 | + | 0.841479i | \(0.681685\pi\) | |||||||
\(98\) | 1441.43 | + | 8174.73i | 0.0151610 | + | 0.0859822i | ||||
\(99\) | −148661. | − | 124741.i | −1.52443 | − | 1.27915i | ||||
\(100\) | 59820.5 | − | 50195.3i | 0.598205 | − | 0.501953i | ||||
\(101\) | 22627.5 | − | 128327.i | 0.220716 | − | 1.25174i | −0.649992 | − | 0.759941i | \(-0.725228\pi\) |
0.870708 | − | 0.491800i | \(-0.163661\pi\) | |||||||
\(102\) | −3427.58 | + | 5936.73i | −0.0326202 | + | 0.0564998i | ||||
\(103\) | −85564.0 | − | 148201.i | −0.794691 | − | 1.37644i | −0.923035 | − | 0.384715i | \(-0.874300\pi\) |
0.128345 | − | 0.991730i | \(-0.459034\pi\) | |||||||
\(104\) | −5526.62 | + | 2011.52i | −0.0501044 | + | 0.0182365i | ||||
\(105\) | −342564. | + | 124683.i | −3.03227 | + | 1.10366i | ||||
\(106\) | 77475.3 | + | 134191.i | 0.669729 | + | 1.16000i | ||||
\(107\) | −74229.7 | + | 128570.i | −0.626784 | + | 1.08562i | 0.361409 | + | 0.932408i | \(0.382296\pi\) |
−0.988193 | + | 0.153215i | \(0.951037\pi\) | |||||||
\(108\) | −32387.6 | + | 183679.i | −0.267189 | + | 1.51531i | ||||
\(109\) | −16788.0 | + | 14086.8i | −0.135342 | + | 0.113566i | −0.707946 | − | 0.706267i | \(-0.750378\pi\) |
0.572603 | + | 0.819832i | \(0.305933\pi\) | |||||||
\(110\) | −83636.3 | − | 70179.2i | −0.659042 | − | 0.553002i | ||||
\(111\) | 1477.95 | + | 8381.87i | 0.0113855 | + | 0.0645704i | ||||
\(112\) | 33056.1 | + | 12031.5i | 0.249004 | + | 0.0906302i | ||||
\(113\) | 96750.2 | 0.712780 | 0.356390 | − | 0.934337i | \(-0.384007\pi\) | ||||
0.356390 | + | 0.934337i | \(0.384007\pi\) | |||||||
\(114\) | −168018. | + | 81238.4i | −1.21086 | + | 0.585463i | ||||
\(115\) | 259720. | 1.83130 | ||||||||
\(116\) | −81275.3 | − | 29581.8i | −0.560807 | − | 0.204117i | ||||
\(117\) | 10151.3 | + | 57571.0i | 0.0685580 | + | 0.388812i | ||||
\(118\) | 6204.29 | + | 5206.02i | 0.0410192 | + | 0.0344192i | ||||
\(119\) | 6084.24 | − | 5105.28i | 0.0393857 | − | 0.0330485i | ||||
\(120\) | −29483.5 | + | 167209.i | −0.186907 | + | 1.06000i | ||||
\(121\) | 33995.2 | − | 58881.4i | 0.211083 | − | 0.365607i | ||||
\(122\) | −43562.4 | − | 75452.3i | −0.264980 | − | 0.458958i | ||||
\(123\) | −38566.8 | + | 14037.2i | −0.229854 | + | 0.0836599i | ||||
\(124\) | 89298.2 | − | 32501.9i | 0.521541 | − | 0.189825i | ||||
\(125\) | −78541.8 | − | 136038.i | −0.449600 | − | 0.778729i | ||||
\(126\) | 174830. | − | 302814.i | 0.981045 | − | 1.69922i | ||||
\(127\) | 28613.4 | − | 162275.i | 0.157420 | − | 0.892774i | −0.799120 | − | 0.601172i | \(-0.794701\pi\) |
0.956540 | − | 0.291602i | \(-0.0941883\pi\) | |||||||
\(128\) | 12550.9 | − | 10531.4i | 0.0677094 | − | 0.0568149i | ||||
\(129\) | −183380. | − | 153874.i | −0.970235 | − | 0.814124i | ||||
\(130\) | 5711.13 | + | 32389.4i | 0.0296390 | + | 0.168091i | ||||
\(131\) | −120080. | − | 43705.6i | −0.611354 | − | 0.222515i | 0.0177417 | − | 0.999843i | \(-0.494352\pi\) |
−0.629096 | + | 0.777328i | \(0.716575\pi\) | |||||||
\(132\) | 144722. | 0.722935 | ||||||||
\(133\) | 215119. | − | 21867.0i | 1.05451 | − | 0.107191i | ||||
\(134\) | −252477. | −1.21467 | ||||||||
\(135\) | 980103. | + | 356728.i | 4.62847 | + | 1.68463i | ||||
\(136\) | −642.356 | − | 3642.98i | −0.00297803 | − | 0.0168892i | ||||
\(137\) | −10307.4 | − | 8648.94i | −0.0469189 | − | 0.0393696i | 0.619027 | − | 0.785370i | \(-0.287527\pi\) |
−0.665946 | + | 0.746000i | \(0.731972\pi\) | |||||||
\(138\) | −263726. | + | 221292.i | −1.17884 | + | 0.989163i | ||||
\(139\) | −19213.9 | + | 108968.i | −0.0843488 | + | 0.478366i | 0.913146 | + | 0.407632i | \(0.133645\pi\) |
−0.997495 | + | 0.0707342i | \(0.977466\pi\) | |||||||
\(140\) | 98359.0 | − | 170363.i | 0.424125 | − | 0.734606i | ||||
\(141\) | 23313.8 | + | 40380.8i | 0.0987566 | + | 0.171051i | ||||
\(142\) | 94684.5 | − | 34462.3i | 0.394056 | − | 0.143425i | ||||
\(143\) | 26342.8 | − | 9588.01i | 0.107726 | − | 0.0392092i | ||||
\(144\) | −81427.1 | − | 141036.i | −0.327237 | − | 0.566791i | ||||
\(145\) | −241836. | + | 418872.i | −0.955214 | + | 1.65448i | ||||
\(146\) | 23602.0 | − | 133854.i | 0.0916361 | − | 0.519694i | ||||
\(147\) | −47135.4 | + | 39551.3i | −0.179909 | + | 0.150962i | ||||
\(148\) | −3518.29 | − | 2952.20i | −0.0132032 | − | 0.0110788i | ||||
\(149\) | 44149.2 | + | 250383.i | 0.162914 | + | 0.923930i | 0.951189 | + | 0.308607i | \(0.0998629\pi\) |
−0.788276 | + | 0.615322i | \(0.789026\pi\) | |||||||
\(150\) | 543942. | + | 197979.i | 1.97390 | + | 0.718440i | ||||
\(151\) | 312599. | 1.11569 | 0.557847 | − | 0.829944i | \(-0.311627\pi\) | ||||
0.557847 | + | 0.829944i | \(0.311627\pi\) | |||||||
\(152\) | 41275.7 | − | 91860.8i | 0.144906 | − | 0.322494i | ||||
\(153\) | −36769.2 | −0.126986 | ||||||||
\(154\) | −157563. | − | 57348.4i | −0.535369 | − | 0.194858i | ||||
\(155\) | −92279.4 | − | 523343.i | −0.308515 | − | 1.74967i | ||||
\(156\) | −33396.3 | − | 28022.9i | −0.109872 | − | 0.0921936i | ||||
\(157\) | −189761. | + | 159228.i | −0.614409 | + | 0.515550i | −0.896041 | − | 0.443972i | \(-0.853569\pi\) |
0.281632 | + | 0.959523i | \(0.409124\pi\) | |||||||
\(158\) | −9682.67 | + | 54913.1i | −0.0308569 | + | 0.174998i | ||||
\(159\) | −574295. | + | 994708.i | −1.80153 | + | 3.12034i | ||||
\(160\) | −45810.8 | − | 79346.6i | −0.141471 | − | 0.245035i | ||||
\(161\) | 374817. | − | 136422.i | 1.13961 | − | 0.414783i | ||||
\(162\) | −718122. | + | 261375.i | −2.14986 | + | 0.782486i | ||||
\(163\) | −187055. | − | 323988.i | −0.551441 | − | 0.955124i | −0.998171 | − | 0.0604553i | \(-0.980745\pi\) |
0.446730 | − | 0.894669i | \(-0.352589\pi\) | |||||||
\(164\) | 11073.6 | − | 19180.0i | 0.0321497 | − | 0.0556850i | ||||
\(165\) | 140534. | − | 797009.i | 0.401858 | − | 2.27905i | ||||
\(166\) | 245808. | − | 206257.i | 0.692350 | − | 0.580951i | ||||
\(167\) | 475581. | + | 399060.i | 1.31957 | + | 1.10725i | 0.986395 | + | 0.164390i | \(0.0525656\pi\) |
0.333179 | + | 0.942864i | \(0.391879\pi\) | |||||||
\(168\) | 45280.1 | + | 256796.i | 0.123775 | + | 0.701966i | ||||
\(169\) | 340966. | + | 124101.i | 0.918320 | + | 0.334241i | ||||
\(170\) | −20686.3 | −0.0548986 | ||||||||
\(171\) | −827966. | − | 562596.i | −2.16532 | − | 1.47132i | ||||
\(172\) | 129177. | 0.332939 | ||||||||
\(173\) | −209477. | − | 76243.5i | −0.532135 | − | 0.193681i | 0.0619566 | − | 0.998079i | \(-0.480266\pi\) |
−0.594091 | + | 0.804398i | \(0.702488\pi\) | |||||||
\(174\) | −111331. | − | 631387.i | −0.278767 | − | 1.58097i | ||||
\(175\) | −513755. | − | 431092.i | −1.26812 | − | 1.06408i | ||||
\(176\) | −59824.2 | + | 50198.5i | −0.145578 | + | 0.122154i | ||||
\(177\) | −10425.1 | + | 59123.6i | −0.0250119 | + | 0.141850i | ||||
\(178\) | 99605.7 | − | 172522.i | 0.235632 | − | 0.408127i | ||||
\(179\) | 214754. | + | 371965.i | 0.500967 | + | 0.867700i | 0.999999 | + | 0.00111653i | \(0.000355401\pi\) |
−0.499033 | + | 0.866583i | \(0.666311\pi\) | |||||||
\(180\) | −855780. | + | 311479.i | −1.96871 | + | 0.716551i | ||||
\(181\) | −421285. | + | 153335.i | −0.955828 | + | 0.347893i | −0.772397 | − | 0.635140i | \(-0.780943\pi\) |
−0.183431 | + | 0.983033i | \(0.558720\pi\) | |||||||
\(182\) | 25255.2 | + | 43743.2i | 0.0565160 | + | 0.0978886i | ||||
\(183\) | 322911. | − | 559299.i | 0.712780 | − | 1.23457i | ||||
\(184\) | 32259.5 | − | 182953.i | 0.0702446 | − | 0.398377i | ||||
\(185\) | −19674.8 | + | 16509.1i | −0.0422650 | + | 0.0354645i | ||||
\(186\) | 539613. | + | 452789.i | 1.14367 | + | 0.959651i | ||||
\(187\) | 3061.82 | + | 17364.4i | 0.00640288 | + | 0.0363125i | ||||
\(188\) | −23643.9 | − | 8605.66i | −0.0487892 | − | 0.0177578i | ||||
\(189\) | 1.60182e6 | 3.26182 | ||||||||
\(190\) | −465813. | − | 316516.i | −0.936111 | − | 0.636079i | ||||
\(191\) | −154108. | −0.305663 | −0.152832 | − | 0.988252i | \(-0.548839\pi\) | ||||
−0.152832 | + | 0.988252i | \(0.548839\pi\) | |||||||
\(192\) | 114124. | + | 41537.7i | 0.223421 | + | 0.0813186i | ||||
\(193\) | 162839. | + | 923503.i | 0.314676 | + | 1.78462i | 0.574029 | + | 0.818835i | \(0.305380\pi\) |
−0.259353 | + | 0.965783i | \(0.583509\pi\) | |||||||
\(194\) | 124883. | + | 104790.i | 0.238232 | + | 0.199900i | ||||
\(195\) | −186757. | + | 156708.i | −0.351714 | + | 0.295123i | ||||
\(196\) | 5765.70 | − | 32698.9i | 0.0107204 | − | 0.0607986i | ||||
\(197\) | −3836.98 | + | 6645.84i | −0.00704407 | + | 0.0122007i | −0.869526 | − | 0.493887i | \(-0.835576\pi\) |
0.862482 | + | 0.506088i | \(0.168909\pi\) | |||||||
\(198\) | 388125. | + | 672253.i | 0.703573 | + | 1.21862i | ||||
\(199\) | −211297. | + | 76906.0i | −0.378235 | + | 0.137666i | −0.524139 | − | 0.851632i | \(-0.675613\pi\) |
0.145905 | + | 0.989299i | \(0.453391\pi\) | |||||||
\(200\) | −293523. | + | 106834.i | −0.518880 | + | 0.188857i | ||||
\(201\) | −935756. | − | 1.62078e6i | −1.63370 | − | 2.82965i | ||||
\(202\) | −260613. | + | 451395.i | −0.449385 | + | 0.778357i | ||||
\(203\) | −128988. | + | 731528.i | −0.219690 | + | 1.24592i | ||||
\(204\) | 21005.4 | − | 17625.6i | 0.0353391 | − | 0.0296530i | ||||
\(205\) | −94874.4 | − | 79609.0i | −0.157675 | − | 0.132305i | ||||
\(206\) | 118864. | + | 674113.i | 0.195157 | + | 1.10679i | ||||
\(207\) | −1.73521e6 | − | 631564.i | −2.81466 | − | 1.02445i | ||||
\(208\) | 23525.2 | 0.0377029 | ||||||||
\(209\) | −196742. | + | 437858.i | −0.311553 | + | 0.693374i | ||||
\(210\) | 1.45819e6 | 2.28175 | ||||||||
\(211\) | 113006. | + | 41130.8i | 0.174741 | + | 0.0636005i | 0.427909 | − | 0.903822i | \(-0.359250\pi\) |
−0.253168 | + | 0.967422i | \(0.581473\pi\) | |||||||
\(212\) | −107628. | − | 610387.i | −0.164469 | − | 0.932750i | ||||
\(213\) | 572161. | + | 480100.i | 0.864111 | + | 0.725075i | ||||
\(214\) | 454906. | − | 381711.i | 0.679027 | − | 0.569771i | ||||
\(215\) | 125439. | − | 711403.i | 0.185071 | − | 1.04959i | ||||
\(216\) | 373025. | − | 646099.i | 0.544006 | − | 0.942247i | ||||
\(217\) | −408069. | − | 706796.i | −0.588280 | − | 1.01893i | ||||
\(218\) | 82374.3 | − | 29981.8i | 0.117395 | − | 0.0427284i | ||||
\(219\) | 946750. | − | 344589.i | 1.33391 | − | 0.485502i | ||||
\(220\) | 218359. | + | 378209.i | 0.304168 | + | 0.526835i | ||||
\(221\) | 2655.76 | − | 4599.92i | 0.00365771 | − | 0.00633533i | ||||
\(222\) | 5911.80 | − | 33527.5i | 0.00805076 | − | 0.0456581i | ||||
\(223\) | 16886.0 | − | 14169.0i | 0.0227386 | − | 0.0190800i | −0.631347 | − | 0.775500i | \(-0.717498\pi\) |
0.654086 | + | 0.756420i | \(0.273053\pi\) | |||||||
\(224\) | −107790. | − | 90446.9i | −0.143536 | − | 0.120441i | ||||
\(225\) | 539144. | + | 3.05764e6i | 0.709984 | + | 4.02652i | ||||
\(226\) | −363662. | − | 132362.i | −0.473616 | − | 0.172382i | ||||
\(227\) | 1.27626e6 | 1.64390 | 0.821949 | − | 0.569561i | \(-0.192887\pi\) | ||||
0.821949 | + | 0.569561i | \(0.192887\pi\) | |||||||
\(228\) | 742682. | − | 75494.3i | 0.946163 | − | 0.0961783i | ||||
\(229\) | 77951.9 | 0.0982286 | 0.0491143 | − | 0.998793i | \(-0.484360\pi\) | ||||
0.0491143 | + | 0.998793i | \(0.484360\pi\) | |||||||
\(230\) | −976227. | − | 355317.i | −1.21683 | − | 0.442891i | ||||
\(231\) | −215830. | − | 1.22403e6i | −0.266122 | − | 1.50925i | ||||
\(232\) | 265025. | + | 222382.i | 0.323271 | + | 0.271257i | ||||
\(233\) | 186016. | − | 156086.i | 0.224472 | − | 0.188354i | −0.523615 | − | 0.851955i | \(-0.675417\pi\) |
0.748087 | + | 0.663601i | \(0.230973\pi\) | |||||||
\(234\) | 40605.3 | − | 230284.i | 0.0484778 | − | 0.274931i | ||||
\(235\) | −70352.6 | + | 121854.i | −0.0831018 | + | 0.143937i | ||||
\(236\) | −16198.3 | − | 28056.2i | −0.0189316 | − | 0.0327906i | ||||
\(237\) | −388402. | + | 141367.i | −0.449170 | + | 0.163485i | ||||
\(238\) | −29853.7 | + | 10865.9i | −0.0341630 | + | 0.0124343i | ||||
\(239\) | 69523.4 | + | 120418.i | 0.0787293 | + | 0.136363i | 0.902702 | − | 0.430266i | \(-0.141580\pi\) |
−0.823973 | + | 0.566630i | \(0.808247\pi\) | |||||||
\(240\) | 339578. | − | 588166.i | 0.380549 | − | 0.659131i | ||||
\(241\) | −107689. | + | 610732.i | −0.119434 | + | 0.677342i | 0.865025 | + | 0.501728i | \(0.167302\pi\) |
−0.984459 | + | 0.175614i | \(0.943809\pi\) | |||||||
\(242\) | −208335. | + | 174813.i | −0.228677 | + | 0.191883i | ||||
\(243\) | −2.16953e6 | − | 1.82045e6i | −2.35695 | − | 1.97772i | ||||
\(244\) | 60516.3 | + | 343205.i | 0.0650725 | + | 0.369045i | ||||
\(245\) | −174480. | − | 63505.5i | −0.185708 | − | 0.0675922i | ||||
\(246\) | 164168. | 0.172962 | ||||||||
\(247\) | 130184. | − | 62945.4i | 0.135774 | − | 0.0656480i | ||||
\(248\) | −380117. | −0.392453 | ||||||||
\(249\) | 2.23511e6 | + | 813514.i | 2.28455 | + | 0.831508i | ||||
\(250\) | 109109. | + | 618789.i | 0.110411 | + | 0.626170i | ||||
\(251\) | 676721. | + | 567837.i | 0.677993 | + | 0.568904i | 0.915419 | − | 0.402502i | \(-0.131859\pi\) |
−0.237426 | + | 0.971406i | \(0.576304\pi\) | |||||||
\(252\) | −1.07142e6 | + | 899027.i | −1.06282 | + | 0.891808i | ||||
\(253\) | −153766. | + | 872050.i | −0.151029 | + | 0.856525i | ||||
\(254\) | −329556. | + | 570808.i | −0.320513 | + | 0.555144i | ||||
\(255\) | −76669.9 | − | 132796.i | −0.0738371 | − | 0.127890i | ||||
\(256\) | −61583.7 | + | 22414.6i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | −1.52060e6 | + | 553453.i | −1.43609 | + | 0.522695i | −0.938671 | − | 0.344815i | \(-0.887942\pi\) |
−0.497421 | + | 0.867509i | \(0.665720\pi\) | |||||||
\(258\) | 478771. | + | 829255.i | 0.447794 | + | 0.775602i | ||||
\(259\) | −19722.2 | + | 34159.8i | −0.0182686 | + | 0.0316421i | ||||
\(260\) | 22844.5 | − | 129558.i | 0.0209579 | − | 0.118858i | ||||
\(261\) | 2.63430e6 | − | 2.21044e6i | 2.39367 | − | 2.00853i | ||||
\(262\) | 391561. | + | 328558.i | 0.352408 | + | 0.295705i | ||||
\(263\) | −89497.2 | − | 507564.i | −0.0797848 | − | 0.452482i | −0.998361 | − | 0.0572373i | \(-0.981771\pi\) |
0.918576 | − | 0.395245i | \(-0.129340\pi\) | |||||||
\(264\) | −543976. | − | 197991.i | −0.480364 | − | 0.174838i | ||||
\(265\) | −3.46602e6 | −3.03191 | ||||||||
\(266\) | −838498. | − | 212107.i | −0.726604 | − | 0.183802i | ||||
\(267\) | 1.47668e6 | 1.26767 | ||||||||
\(268\) | 949002. | + | 345409.i | 0.807105 | + | 0.293762i | ||||
\(269\) | 107698. | + | 610787.i | 0.0907461 | + | 0.514647i | 0.995968 | + | 0.0897078i | \(0.0285933\pi\) |
−0.905222 | + | 0.424939i | \(0.860296\pi\) | |||||||
\(270\) | −3.19595e6 | − | 2.68172e6i | −2.66803 | − | 2.23874i | ||||
\(271\) | 860317. | − | 721892.i | 0.711599 | − | 0.597103i | −0.213448 | − | 0.976954i | \(-0.568469\pi\) |
0.925047 | + | 0.379852i | \(0.124025\pi\) | |||||||
\(272\) | −2569.43 | + | 14571.9i | −0.00210578 | + | 0.0119425i | ||||
\(273\) | −187207. | + | 324251.i | −0.152025 | + | 0.263315i | ||||
\(274\) | 26910.7 | + | 46610.7i | 0.0216545 | + | 0.0375067i | ||||
\(275\) | 1.39909e6 | − | 509226.i | 1.11561 | − | 0.406049i | ||||
\(276\) | 1.29403e6 | − | 470988.i | 1.02252 | − | 0.372166i | ||||
\(277\) | −966368. | − | 1.67380e6i | −0.756734 | − | 1.31070i | −0.944508 | − | 0.328489i | \(-0.893460\pi\) |
0.187774 | − | 0.982212i | \(-0.439873\pi\) | |||||||
\(278\) | 221297. | − | 383298.i | 0.171737 | − | 0.297457i | ||||
\(279\) | −656094. | + | 3.72089e6i | −0.504610 | + | 2.86178i | ||||
\(280\) | −602779. | + | 505792.i | −0.459476 | + | 0.385546i | ||||
\(281\) | 718458. | + | 602858.i | 0.542795 | + | 0.455459i | 0.872492 | − | 0.488628i | \(-0.162502\pi\) |
−0.329698 | + | 0.944087i | \(0.606947\pi\) | |||||||
\(282\) | −32387.2 | − | 183677.i | −0.0242522 | − | 0.137541i | ||||
\(283\) | 442657. | + | 161114.i | 0.328550 | + | 0.119582i | 0.501028 | − | 0.865431i | \(-0.332955\pi\) |
−0.172478 | + | 0.985013i | \(0.555178\pi\) | |||||||
\(284\) | −403045. | −0.296522 | ||||||||
\(285\) | 305431. | − | 4.16339e6i | 0.222742 | − | 3.03623i | ||||
\(286\) | −112134. | −0.0810628 | ||||||||
\(287\) | −178735. | − | 65054.2i | −0.128087 | − | 0.0466198i | ||||
\(288\) | 113117. | + | 641520.i | 0.0803615 | + | 0.455752i | ||||
\(289\) | −1.08511e6 | − | 910519.i | −0.764242 | − | 0.641275i | ||||
\(290\) | 1.48206e6 | − | 1.24359e6i | 1.03483 | − | 0.868327i | ||||
\(291\) | −209842. | + | 1.19007e6i | −0.145265 | + | 0.823836i | ||||
\(292\) | −271837. | + | 470835.i | −0.186574 | + | 0.323156i | ||||
\(293\) | 225114. | + | 389910.i | 0.153191 | + | 0.265335i | 0.932399 | − | 0.361431i | \(-0.117712\pi\) |
−0.779208 | + | 0.626766i | \(0.784378\pi\) | |||||||
\(294\) | 231281. | − | 84179.2i | 0.156053 | − | 0.0567985i | ||||
\(295\) | −170240. | + | 61962.4i | −0.113896 | + | 0.0414546i | ||||
\(296\) | 9185.61 | + | 15909.9i | 0.00609367 | + | 0.0105545i | ||||
\(297\) | −1.77804e6 | + | 3.07965e6i | −1.16963 | + | 2.02587i | ||||
\(298\) | 176597. | − | 1.00153e6i | 0.115197 | − | 0.653317i | ||||
\(299\) | 204341. | − | 171462.i | 0.132183 | − | 0.110915i | ||||
\(300\) | −1.77370e6 | − | 1.48831e6i | −1.13783 | − | 0.954754i | ||||
\(301\) | −192647. | − | 1.09256e6i | −0.122559 | − | 0.695069i | ||||
\(302\) | −1.17499e6 | − | 427661.i | −0.741338 | − | 0.269825i | ||||
\(303\) | −3.86365e6 | −2.41764 | ||||||||
\(304\) | −280819. | + | 288815.i | −0.174278 | + | 0.179241i | ||||
\(305\) | 1.94886e6 | 1.19958 | ||||||||
\(306\) | 138207. | + | 50303.3i | 0.0843775 | + | 0.0307109i | ||||
\(307\) | −35345.3 | − | 200453.i | −0.0214035 | − | 0.121385i | 0.972234 | − | 0.234011i | \(-0.0751851\pi\) |
−0.993638 | + | 0.112625i | \(0.964074\pi\) | |||||||
\(308\) | 513787. | + | 431119.i | 0.308608 | + | 0.258953i | ||||
\(309\) | −3.88693e6 | + | 3.26152e6i | −2.31585 | + | 1.94323i | ||||
\(310\) | −369118. | + | 2.09337e6i | −0.218153 | + | 1.23721i | ||||
\(311\) | 1.17180e6 | − | 2.02961e6i | 0.686991 | − | 1.18990i | −0.285816 | − | 0.958284i | \(-0.592265\pi\) |
0.972807 | − | 0.231618i | \(-0.0744020\pi\) | |||||||
\(312\) | 87191.6 | + | 151020.i | 0.0507094 | + | 0.0878312i | ||||
\(313\) | 2.00887e6 | − | 731169.i | 1.15902 | − | 0.421849i | 0.310274 | − | 0.950647i | \(-0.399579\pi\) |
0.848748 | + | 0.528798i | \(0.177357\pi\) | |||||||
\(314\) | 931105. | − | 338894.i | 0.532935 | − | 0.193973i | ||||
\(315\) | 3.91069e6 | + | 6.77351e6i | 2.22063 | + | 3.84625i | ||||
\(316\) | 111521. | − | 193159.i | 0.0628257 | − | 0.108817i | ||||
\(317\) | −120470. | + | 683220.i | −0.0673335 | + | 0.381867i | 0.932455 | + | 0.361287i | \(0.117662\pi\) |
−0.999788 | + | 0.0205802i | \(0.993449\pi\) | |||||||
\(318\) | 3.51948e6 | − | 2.95320e6i | 1.95169 | − | 1.63766i | ||||
\(319\) | −1.26325e6 | − | 1.05999e6i | −0.695045 | − | 0.583212i | ||||
\(320\) | 63639.7 | + | 360919.i | 0.0347419 | + | 0.197031i | ||||
\(321\) | 4.13642e6 | + | 1.50553e6i | 2.24059 | + | 0.815507i | ||||
\(322\) | −1.59549e6 | −0.857539 | ||||||||
\(323\) | 24770.8 | + | 87513.3i | 0.0132109 | + | 0.0466732i | ||||
\(324\) | 3.05684e6 | 1.61774 | ||||||||
\(325\) | −421459. | − | 153399.i | −0.221333 | − | 0.0805588i | ||||
\(326\) | 259853. | + | 1.47370e6i | 0.135421 | + | 0.768008i | ||||
\(327\) | 497773. | + | 417681.i | 0.257432 | + | 0.216011i | ||||
\(328\) | −67862.7 | + | 56943.6i | −0.0348294 | + | 0.0292254i | ||||
\(329\) | −37524.0 | + | 212809.i | −0.0191126 | + | 0.108393i | ||||
\(330\) | −1.61861e6 | + | 2.80351e6i | −0.818196 | + | 1.41716i | ||||
\(331\) | −724122. | − | 1.25422e6i | −0.363280 | − | 0.629219i | 0.625219 | − | 0.780450i | \(-0.285010\pi\) |
−0.988499 | + | 0.151230i | \(0.951677\pi\) | |||||||
\(332\) | −1.20611e6 | + | 438989.i | −0.600541 | + | 0.218579i | ||||
\(333\) | 171594. | − | 62455.2i | 0.0847993 | − | 0.0308644i | ||||
\(334\) | −1.24166e6 | − | 2.15061e6i | −0.609025 | − | 1.05486i | ||||
\(335\) | 2.82377e6 | − | 4.89091e6i | 1.37473 | − | 2.38110i | ||||
\(336\) | 181121. | − | 1.02719e6i | 0.0875225 | − | 0.496365i | ||||
\(337\) | −1.02994e6 | + | 864226.i | −0.494014 | + | 0.414527i | −0.855462 | − | 0.517865i | \(-0.826727\pi\) |
0.361448 | + | 0.932392i | \(0.382282\pi\) | |||||||
\(338\) | −1.11183e6 | − | 932937.i | −0.529355 | − | 0.444182i | ||||
\(339\) | −498142. | − | 2.82510e6i | −0.235426 | − | 1.33517i | ||||
\(340\) | 77755.2 | + | 28300.6i | 0.0364781 | + | 0.0132769i | ||||
\(341\) | 1.81184e6 | 0.843789 | ||||||||
\(342\) | 2.34246e6 | + | 3.24739e6i | 1.08295 | + | 1.50131i | ||||
\(343\) | 2.02433e6 | 0.929066 | ||||||||
\(344\) | −485548. | − | 176725.i | −0.221226 | − | 0.0805196i | ||||
\(345\) | −1.33723e6 | − | 7.58381e6i | −0.604865 | − | 3.43036i | ||||
\(346\) | 683070. | + | 573163.i | 0.306743 | + | 0.257388i | ||||
\(347\) | 2.33731e6 | − | 1.96124e6i | 1.04206 | − | 0.874394i | 0.0498251 | − | 0.998758i | \(-0.484134\pi\) |
0.992237 | + | 0.124364i | \(0.0396892\pi\) | |||||||
\(348\) | −445322. | + | 2.52555e6i | −0.197118 | + | 1.11791i | ||||
\(349\) | 60414.7 | − | 104641.i | 0.0265509 | − | 0.0459875i | −0.852445 | − | 0.522817i | \(-0.824881\pi\) |
0.878996 | + | 0.476830i | \(0.158214\pi\) | |||||||
\(350\) | 1.34132e6 | + | 2.32323e6i | 0.585278 | + | 1.01373i | ||||
\(351\) | 1.00663e6 | − | 366382.i | 0.436114 | − | 0.158733i | ||||
\(352\) | 293541. | − | 106840.i | 0.126273 | − | 0.0459598i | ||||
\(353\) | −827804. | − | 1.43380e6i | −0.353582 | − | 0.612423i | 0.633292 | − | 0.773913i | \(-0.281703\pi\) |
−0.986874 | + | 0.161490i | \(0.948370\pi\) | |||||||
\(354\) | 120071. | − | 207970.i | 0.0509251 | − | 0.0882048i | ||||
\(355\) | −391382. | + | 2.21964e6i | −0.164828 | + | 0.934785i | ||||
\(356\) | −610419. | + | 512203.i | −0.255272 | + | 0.214199i | ||||
\(357\) | −180400. | − | 151374.i | −0.0749147 | − | 0.0628609i | ||||
\(358\) | −298333. | − | 1.69193e6i | −0.123025 | − | 0.697710i | ||||
\(359\) | −4.38925e6 | − | 1.59756e6i | −1.79744 | − | 0.654214i | −0.998613 | − | 0.0526518i | \(-0.983233\pi\) |
−0.798826 | − | 0.601562i | \(-0.794545\pi\) | |||||||
\(360\) | 3.64281e6 | 1.48143 | ||||||||
\(361\) | −781231. | + | 2.34963e6i | −0.315509 | + | 0.948923i | ||||
\(362\) | 1.79329e6 | 0.719249 | ||||||||
\(363\) | −1.89437e6 | − | 689494.i | −0.754567 | − | 0.274640i | ||||
\(364\) | −35084.1 | − | 198972.i | −0.0138790 | − | 0.0787115i | ||||
\(365\) | 2.32900e6 | + | 1.95427e6i | 0.915036 | + | 0.767806i | ||||
\(366\) | −1.97891e6 | + | 1.66051e6i | −0.772190 | + | 0.647945i | ||||
\(367\) | −696706. | + | 3.95122e6i | −0.270013 | + | 1.53132i | 0.484358 | + | 0.874870i | \(0.339053\pi\) |
−0.754371 | + | 0.656449i | \(0.772058\pi\) | |||||||
\(368\) | −371550. | + | 643543.i | −0.143020 | + | 0.247718i | ||||
\(369\) | 440277. | + | 762582.i | 0.168329 | + | 0.291555i | ||||
\(370\) | 96538.7 | − | 35137.2i | 0.0366604 | − | 0.0133433i | ||||
\(371\) | −5.00202e6 | + | 1.82059e6i | −1.88674 | + | 0.686716i | ||||
\(372\) | −1.40883e6 | − | 2.44016e6i | −0.527838 | − | 0.914243i | ||||
\(373\) | 586251. | − | 1.01542e6i | 0.218178 | − | 0.377896i | −0.736073 | − | 0.676902i | \(-0.763322\pi\) |
0.954251 | + | 0.299006i | \(0.0966552\pi\) | |||||||
\(374\) | 12247.3 | − | 69457.7i | 0.00452752 | − | 0.0256768i | ||||
\(375\) | −3.56793e6 | + | 2.99385e6i | −1.31020 | + | 1.09939i | ||||
\(376\) | 77098.6 | + | 64693.4i | 0.0281240 | + | 0.0235988i | ||||
\(377\) | 86261.5 | + | 489213.i | 0.0312582 | + | 0.177274i | ||||
\(378\) | −6.02089e6 | − | 2.19142e6i | −2.16736 | − | 0.788855i | ||||
\(379\) | 1.22032e6 | 0.436391 | 0.218196 | − | 0.975905i | \(-0.429983\pi\) | ||||
0.218196 | + | 0.975905i | \(0.429983\pi\) | |||||||
\(380\) | 1.31786e6 | + | 1.82698e6i | 0.468179 | + | 0.649045i | ||||
\(381\) | −4.88574e6 | −1.72432 | ||||||||
\(382\) | 579258. | + | 210833.i | 0.203102 | + | 0.0739230i | ||||
\(383\) | 436551. | + | 2.47580e6i | 0.152068 | + | 0.862421i | 0.961417 | + | 0.275094i | \(0.0887089\pi\) |
−0.809349 | + | 0.587328i | \(0.800180\pi\) | |||||||
\(384\) | −372139. | − | 312262.i | −0.128788 | − | 0.108066i | ||||
\(385\) | 2.87317e6 | − | 2.41088e6i | 0.987892 | − | 0.828940i | ||||
\(386\) | 651354. | − | 3.69401e6i | 0.222510 | − | 1.26192i | ||||
\(387\) | −2.56800e6 | + | 4.44791e6i | −0.871601 | + | 1.50966i | ||||
\(388\) | −326047. | − | 564730.i | −0.109952 | − | 0.190442i | ||||
\(389\) | −2.82772e6 | + | 1.02921e6i | −0.947464 | + | 0.344849i | −0.769109 | − | 0.639117i | \(-0.779300\pi\) |
−0.178355 | + | 0.983966i | \(0.557078\pi\) | |||||||
\(390\) | 916365. | − | 333530.i | 0.305075 | − | 0.111038i | ||||
\(391\) | 83888.6 | + | 145299.i | 0.0277499 | + | 0.0480642i | ||||
\(392\) | −66406.7 | + | 115020.i | −0.0218271 | + | 0.0378057i | ||||
\(393\) | −657940. | + | 3.73137e6i | −0.214885 | + | 1.21867i | ||||
\(394\) | 23514.4 | − | 19730.9i | 0.00763120 | − | 0.00640334i | ||||
\(395\) | −955469. | − | 801734.i | −0.308123 | − | 0.258546i | ||||
\(396\) | −539178. | − | 3.05783e6i | −0.172780 | − | 0.979885i | ||||
\(397\) | 3.11142e6 | + | 1.13246e6i | 0.990791 | + | 0.360618i | 0.786026 | − | 0.618193i | \(-0.212135\pi\) |
0.204764 | + | 0.978811i | \(0.434357\pi\) | |||||||
\(398\) | 899432. | 0.284617 | ||||||||
\(399\) | −1.74611e6 | − | 6.16888e6i | −0.549084 | − | 1.93988i | ||||
\(400\) | 1.24944e6 | 0.390450 | ||||||||
\(401\) | −4.45114e6 | − | 1.62008e6i | −1.38232 | − | 0.503125i | −0.459442 | − | 0.888208i | \(-0.651951\pi\) |
−0.922882 | + | 0.385083i | \(0.874173\pi\) | |||||||
\(402\) | 1.29994e6 | + | 7.37232e6i | 0.401197 | + | 2.27530i | ||||
\(403\) | −418104. | − | 350831.i | −0.128240 | − | 0.107606i | ||||
\(404\) | 1.59713e6 | − | 1.34015e6i | 0.486841 | − | 0.408508i | ||||
\(405\) | 2.96839e6 | − | 1.68345e7i | 0.899255 | − | 5.09993i | ||||
\(406\) | 1.48563e6 | − | 2.57318e6i | 0.447295 | − | 0.774738i | ||||
\(407\) | −43783.6 | − | 75835.3i | −0.0131016 | − | 0.0226927i | ||||
\(408\) | −103068. | + | 37513.6i | −0.0306530 | + | 0.0111568i | ||||
\(409\) | 1.70521e6 | − | 620644.i | 0.504044 | − | 0.183457i | −0.0774680 | − | 0.996995i | \(-0.524684\pi\) |
0.581512 | + | 0.813538i | \(0.302461\pi\) | |||||||
\(410\) | 247699. | + | 429028.i | 0.0727722 | + | 0.126045i | ||||
\(411\) | −199479. | + | 345507.i | −0.0582494 | + | 0.100891i | ||||
\(412\) | 475457. | − | 2.69645e6i | 0.137997 | − | 0.782618i | ||||
\(413\) | −213137. | + | 178843.i | −0.0614871 | + | 0.0515938i | ||||
\(414\) | 5.65822e6 | + | 4.74781e6i | 1.62248 | + | 1.36142i | ||||
\(415\) | 1.24638e6 | + | 7.06857e6i | 0.355247 | + | 2.01470i | ||||
\(416\) | −88425.9 | − | 32184.4i | −0.0250522 | − | 0.00911826i | ||||
\(417\) | 3.28078e6 | 0.923925 | ||||||||
\(418\) | 1.33853e6 | − | 1.37665e6i | 0.374705 | − | 0.385374i | ||||
\(419\) | −4.58004e6 | −1.27448 | −0.637242 | − | 0.770664i | \(-0.719925\pi\) | ||||
−0.637242 | + | 0.770664i | \(0.719925\pi\) | |||||||
\(420\) | −5.48102e6 | − | 1.99493e6i | −1.51614 | − | 0.551828i | ||||
\(421\) | −568605. | − | 3.22472e6i | −0.156353 | − | 0.886720i | −0.957539 | − | 0.288305i | \(-0.906908\pi\) |
0.801186 | − | 0.598415i | \(-0.204203\pi\) | |||||||
\(422\) | −368493. | − | 309202.i | −0.100727 | − | 0.0845204i | ||||
\(423\) | 766347. | − | 643041.i | 0.208245 | − | 0.174738i | ||||
\(424\) | −430511. | + | 2.44155e6i | −0.116297 | + | 0.659554i | ||||
\(425\) | 141050. | − | 244305.i | 0.0378791 | − | 0.0656085i | ||||
\(426\) | −1.49381e6 | − | 2.58735e6i | −0.398814 | − | 0.690766i | ||||
\(427\) | 2.81251e6 | − | 1.02367e6i | 0.746491 | − | 0.271700i | ||||
\(428\) | −2.23210e6 | + | 812417.i | −0.588985 | + | 0.214373i | ||||
\(429\) | −415602. | − | 719844.i | −0.109027 | − | 0.188841i | ||||
\(430\) | −1.44475e6 | + | 2.50239e6i | −0.376810 | + | 0.652655i | ||||
\(431\) | −582299. | + | 3.30238e6i | −0.150992 | + | 0.856315i | 0.811368 | + | 0.584536i | \(0.198723\pi\) |
−0.962359 | + | 0.271780i | \(0.912388\pi\) | |||||||
\(432\) | −2.28603e6 | + | 1.91821e6i | −0.589349 | + | 0.494523i | ||||
\(433\) | 5.11023e6 | + | 4.28799e6i | 1.30985 | + | 1.09909i | 0.988353 | + | 0.152180i | \(0.0486295\pi\) |
0.321494 | + | 0.946912i | \(0.395815\pi\) | |||||||
\(434\) | 566883. | + | 3.21495e6i | 0.144467 | + | 0.819314i | ||||
\(435\) | 1.34762e7 | + | 4.90494e6i | 3.41464 | + | 1.24283i | ||||
\(436\) | −350644. | −0.0883384 | ||||||||
\(437\) | −334189. | + | 4.55539e6i | −0.0837121 | + | 1.14110i | ||||
\(438\) | −4.03004e6 | −1.00375 | ||||||||
\(439\) | 2.94187e6 | + | 1.07075e6i | 0.728555 | + | 0.265172i | 0.679553 | − | 0.733627i | \(-0.262174\pi\) |
0.0490017 | + | 0.998799i | \(0.484396\pi\) | |||||||
\(440\) | −303341. | − | 1.72033e6i | −0.0746963 | − | 0.423624i | ||||
\(441\) | 1.01129e6 | + | 848571.i | 0.247616 | + | 0.207774i | ||||
\(442\) | −16275.5 | + | 13656.7i | −0.00396258 | + | 0.00332500i | ||||
\(443\) | −291485. | + | 1.65310e6i | −0.0705679 | + | 0.400211i | 0.928980 | + | 0.370131i | \(0.120687\pi\) |
−0.999548 | + | 0.0300797i | \(0.990424\pi\) | |||||||
\(444\) | −68089.4 | + | 117934.i | −0.0163916 | + | 0.0283911i | ||||
\(445\) | 2.22804e6 | + | 3.85907e6i | 0.533362 | + | 0.923810i | ||||
\(446\) | −82855.0 | + | 30156.7i | −0.0197234 | + | 0.00717872i | ||||
\(447\) | 7.08386e6 | − | 2.57832e6i | 1.67688 | − | 0.610333i | ||||
\(448\) | 281421. | + | 487435.i | 0.0662463 | + | 0.114742i | ||||
\(449\) | −1.31514e6 | + | 2.27789e6i | −0.307862 | + | 0.533233i | −0.977895 | − | 0.209099i | \(-0.932947\pi\) |
0.670032 | + | 0.742332i | \(0.266280\pi\) | |||||||
\(450\) | 2.15658e6 | − | 1.22306e7i | 0.502035 | − | 2.84718i | ||||
\(451\) | 323470. | − | 271424.i | 0.0748846 | − | 0.0628357i | ||||
\(452\) | 1.18584e6 | + | 995037.i | 0.273011 | + | 0.229083i | ||||
\(453\) | −1.60949e6 | − | 9.12789e6i | −0.368505 | − | 2.08990i | ||||
\(454\) | −4.79717e6 | − | 1.74603e6i | −1.09231 | − | 0.397568i | ||||
\(455\) | −1.12984e6 | −0.255852 | ||||||||
\(456\) | −2.89485e6 | − | 732283.i | −0.651950 | − | 0.164918i | ||||
\(457\) | −8.76096e6 | −1.96228 | −0.981141 | − | 0.193296i | \(-0.938082\pi\) | ||||
−0.981141 | + | 0.193296i | \(0.938082\pi\) | |||||||
\(458\) | −293003. | − | 106644.i | −0.0652693 | − | 0.0237561i | ||||
\(459\) | 117000. | + | 663538.i | 0.0259211 | + | 0.147006i | ||||
\(460\) | 3.18331e6 | + | 2.67111e6i | 0.701430 | + | 0.588569i | ||||
\(461\) | −2.37088e6 | + | 1.98941e6i | −0.519587 | + | 0.435985i | −0.864488 | − | 0.502654i | \(-0.832357\pi\) |
0.344901 | + | 0.938639i | \(0.387912\pi\) | |||||||
\(462\) | −863318. | + | 4.89612e6i | −0.188177 | + | 1.06720i | ||||
\(463\) | 652858. | − | 1.13078e6i | 0.141536 | − | 0.245147i | −0.786539 | − | 0.617540i | \(-0.788129\pi\) |
0.928075 | + | 0.372393i | \(0.121463\pi\) | |||||||
\(464\) | −691931. | − | 1.19846e6i | −0.149200 | − | 0.258421i | ||||
\(465\) | −1.48065e7 | + | 5.38912e6i | −3.17555 | + | 1.15581i | ||||
\(466\) | −912732. | + | 332207.i | −0.194706 | + | 0.0708670i | ||||
\(467\) | −2.08329e6 | − | 3.60836e6i | −0.442036 | − | 0.765629i | 0.555805 | − | 0.831313i | \(-0.312410\pi\) |
−0.997840 | + | 0.0656843i | \(0.979077\pi\) | |||||||
\(468\) | −467673. | + | 810034.i | −0.0987024 | + | 0.170958i | ||||
\(469\) | 1.50611e6 | − | 8.54160e6i | 0.316174 | − | 1.79311i | ||||
\(470\) | 431146. | − | 361774.i | 0.0900284 | − | 0.0755428i | ||||
\(471\) | 5.62650e6 | + | 4.72119e6i | 1.16865 | + | 0.980617i | ||||
\(472\) | 22502.4 | + | 127617.i | 0.00464915 | + | 0.0263666i | ||||
\(473\) | 2.31438e6 | + | 842366.i | 0.475644 | + | 0.173120i | ||||
\(474\) | 1.65332e6 | 0.337995 | ||||||||
\(475\) | 6.91418e6 | − | 3.34308e6i | 1.40607 | − | 0.679849i | ||||
\(476\) | 127079. | 0.0257072 | ||||||||
\(477\) | 2.31568e7 | + | 8.42838e6i | 4.65996 | + | 1.69609i | ||||
\(478\) | −96580.9 | − | 547738.i | −0.0193340 | − | 0.109649i | ||||
\(479\) | 3.87663e6 | + | 3.25288e6i | 0.771997 | + | 0.647783i | 0.941220 | − | 0.337795i | \(-0.109681\pi\) |
−0.169222 | + | 0.985578i | \(0.554126\pi\) | |||||||
\(480\) | −2.08105e6 | + | 1.74621e6i | −0.412268 | + | 0.345934i | ||||
\(481\) | −4580.60 | + | 25977.8i | −0.000902733 | + | 0.00511965i | ||||
\(482\) | 1.24031e6 | − | 2.14828e6i | 0.243171 | − | 0.421184i | ||||
\(483\) | −5.91337e6 | − | 1.02422e7i | −1.15337 | − | 1.99769i | ||||
\(484\) | 1.02224e6 | − | 372065.i | 0.198353 | − | 0.0721947i | ||||
\(485\) | −3.42668e6 | + | 1.24721e6i | −0.661485 | + | 0.240761i | ||||
\(486\) | 5.66425e6 | + | 9.81077e6i | 1.08781 | + | 1.88414i | ||||
\(487\) | 1.44573e6 | − | 2.50408e6i | 0.276226 | − | 0.478438i | −0.694218 | − | 0.719765i | \(-0.744249\pi\) |
0.970444 | + | 0.241328i | \(0.0775828\pi\) | |||||||
\(488\) | 242065. | − | 1.37282e6i | 0.0460132 | − | 0.260954i | ||||
\(489\) | −8.49735e6 | + | 7.13012e6i | −1.60698 | + | 1.34842i | ||||
\(490\) | 568950. | + | 477405.i | 0.107049 | + | 0.0898250i | ||||
\(491\) | 759487. | + | 4.30726e6i | 0.142173 | + | 0.806302i | 0.969594 | + | 0.244720i | \(0.0786960\pi\) |
−0.827421 | + | 0.561582i | \(0.810193\pi\) | |||||||
\(492\) | −617070. | − | 224595.i | −0.114927 | − | 0.0418299i | ||||
\(493\) | −312449. | −0.0578977 | ||||||||
\(494\) | −575447. | + | 58494.7i | −0.106093 | + | 0.0107845i | ||||
\(495\) | −1.73636e7 | −3.18513 | ||||||||
\(496\) | 1.42877e6 | + | 520030.i | 0.260771 | + | 0.0949127i | ||||
\(497\) | 601077. | + | 3.40888e6i | 0.109154 | + | 0.619042i | ||||
\(498\) | −7.28832e6 | − | 6.11562e6i | −1.31690 | − | 1.10501i | ||||
\(499\) | −6.77754e6 | + | 5.68703e6i | −1.21849 | + | 1.02243i | −0.219583 | + | 0.975594i | \(0.570470\pi\) |
−0.998903 | + | 0.0468372i | \(0.985086\pi\) | |||||||
\(500\) | 436437. | − | 2.47516e6i | 0.0780722 | − | 0.442769i | ||||
\(501\) | 9.20391e6 | − | 1.59416e7i | 1.63824 | − | 2.83752i | ||||
\(502\) | −1.76679e6 | − | 3.06018e6i | −0.312915 | − | 0.541985i | ||||
\(503\) | 9.49612e6 | − | 3.45631e6i | 1.67350 | − | 0.609105i | 0.681105 | − | 0.732185i | \(-0.261500\pi\) |
0.992397 | + | 0.123081i | \(0.0392773\pi\) | |||||||
\(504\) | 5.25716e6 | − | 1.91345e6i | 0.921881 | − | 0.335537i | ||||
\(505\) | −5.82954e6 | − | 1.00971e7i | −1.01720 | − | 1.76184i | ||||
\(506\) | 1.77101e6 | − | 3.06747e6i | 0.307499 | − | 0.532604i | ||||
\(507\) | 1.86821e6 | − | 1.05952e7i | 0.322780 | − | 1.83058i | ||||
\(508\) | 2.01964e6 | − | 1.69468e6i | 0.347227 | − | 0.291358i | ||||
\(509\) | −4.66555e6 | − | 3.91486e6i | −0.798194 | − | 0.669765i | 0.149565 | − | 0.988752i | \(-0.452213\pi\) |
−0.947759 | + | 0.318987i | \(0.896657\pi\) | |||||||
\(510\) | 106509. | + | 604041.i | 0.0181326 | + | 0.102835i | ||||
\(511\) | 4.38764e6 | + | 1.59697e6i | 0.743325 | + | 0.270548i | ||||
\(512\) | 262144. | 0.0441942 | ||||||||
\(513\) | −7.51802e6 | + | 1.67317e7i | −1.26128 | + | 2.80702i | ||||
\(514\) | 6.47276e6 | 1.08064 | ||||||||
\(515\) | −1.43881e7 | − | 5.23686e6i | −2.39049 | − | 0.870067i | ||||
\(516\) | −665101. | − | 3.77198e6i | −0.109967 | − | 0.623655i | ||||
\(517\) | −367493. | − | 308364.i | −0.0604677 | − | 0.0507384i | ||||
\(518\) | 120864. | − | 101417.i | 0.0197913 | − | 0.0166069i | ||||
\(519\) | −1.14776e6 | + | 6.50929e6i | −0.187040 | + | 1.06076i | ||||
\(520\) | −263112. | + | 455724.i | −0.0426710 | + | 0.0739084i | ||||
\(521\) | −2.16135e6 | − | 3.74356e6i | −0.348843 | − | 0.604214i | 0.637201 | − | 0.770698i | \(-0.280092\pi\) |
−0.986044 | + | 0.166484i | \(0.946759\pi\) | |||||||
\(522\) | −1.29258e7 | + | 4.70461e6i | −2.07626 | + | 0.755696i | ||||
\(523\) | 5.13671e6 | − | 1.86961e6i | 0.821166 | − | 0.298880i | 0.102938 | − | 0.994688i | \(-0.467176\pi\) |
0.718228 | + | 0.695808i | \(0.244954\pi\) | |||||||
\(524\) | −1.02229e6 | − | 1.77066e6i | −0.162647 | − | 0.281713i | ||||
\(525\) | −9.94268e6 | + | 1.72212e7i | −1.57436 | + | 2.72688i | ||||
\(526\) | −357989. | + | 2.03026e6i | −0.0564164 | + | 0.319953i | ||||
\(527\) | 262976. | − | 220663.i | 0.0412468 | − | 0.0346102i | ||||
\(528\) | 1.77381e6 | + | 1.48841e6i | 0.276900 | + | 0.232347i | ||||
\(529\) | 345476. | + | 1.95929e6i | 0.0536758 | + | 0.304410i | ||||
\(530\) | 1.30280e7 | + | 4.74180e6i | 2.01459 | + | 0.733252i | ||||
\(531\) | 1.28806e6 | 0.198244 | ||||||||
\(532\) | 2.86154e6 | + | 1.94439e6i | 0.438350 | + | 0.297855i | ||||
\(533\) | −127201. | −0.0193942 | ||||||||
\(534\) | −5.55049e6 | − | 2.02021e6i | −0.842322 | − | 0.306580i | ||||
\(535\) | 2.30662e6 | + | 1.30815e7i | 0.348410 | + | 1.97593i | ||||
\(536\) | −3.09453e6 | − | 2.59662e6i | −0.465247 | − | 0.390388i | ||||
\(537\) | 9.75566e6 | − | 8.18597e6i | 1.45989 | − | 1.22500i | ||||
\(538\) | 430793. | − | 2.44315e6i | 0.0641672 | − | 0.363910i | ||||
\(539\) | 316530. | − | 548246.i | 0.0469292 | − | 0.0812838i | ||||
\(540\) | 8.34403e6 | + | 1.44523e7i | 1.23138 | + | 2.13281i | ||||
\(541\) | 5.55355e6 | − | 2.02133e6i | 0.815789 | − | 0.296923i | 0.0997758 | − | 0.995010i | \(-0.468187\pi\) |
0.716013 | + | 0.698087i | \(0.245965\pi\) | |||||||
\(542\) | −4.22134e6 | + | 1.53644e6i | −0.617237 | + | 0.224656i | ||||
\(543\) | 6.64648e6 | + | 1.15120e7i | 0.967369 | + | 1.67553i | ||||
\(544\) | 29593.5 | − | 51257.4i | 0.00428744 | − | 0.00742607i | ||||
\(545\) | −340497. | + | 1.93106e6i | −0.0491047 | + | 0.278486i | ||||
\(546\) | 1.14727e6 | − | 962673.i | 0.164696 | − | 0.138197i | ||||
\(547\) | −7.89559e6 | − | 6.62518e6i | −1.12828 | − | 0.946738i | −0.129285 | − | 0.991607i | \(-0.541268\pi\) |
−0.998993 | + | 0.0448700i | \(0.985713\pi\) | |||||||
\(548\) | −37384.0 | − | 212015.i | −0.00531782 | − | 0.0301589i | ||||
\(549\) | −1.30205e7 | − | 4.73906e6i | −1.84372 | − | 0.671060i | ||||
\(550\) | −5.95551e6 | −0.839484 | ||||||||
\(551\) | −7.03569e6 | − | 4.78069e6i | −0.987251 | − | 0.670828i | ||||
\(552\) | −5.50831e6 | −0.769433 | ||||||||
\(553\) | −1.80002e6 | − | 655153.i | −0.250302 | − | 0.0911025i | ||||
\(554\) | 1.34246e6 | + | 7.61350e6i | 0.185835 | + | 1.05393i | ||||
\(555\) | 583366. | + | 489502.i | 0.0803912 | + | 0.0674562i | ||||
\(556\) | −1.35619e6 | + | 1.13798e6i | −0.186051 | + | 0.156116i | ||||
\(557\) | 1.94188e6 | − | 1.10129e7i | 0.265206 | − | 1.50406i | −0.503240 | − | 0.864146i | \(-0.667859\pi\) |
0.768447 | − | 0.639914i | \(-0.221030\pi\) | |||||||
\(558\) | 7.55659e6 | − | 1.30884e7i | 1.02740 | − | 1.77951i | ||||
\(559\) | −370962. | − | 642526.i | −0.0502112 | − | 0.0869683i | ||||
\(560\) | 2.95767e6 | − | 1.07650e6i | 0.398547 | − | 0.145059i | ||||
\(561\) | 491276. | − | 178810.i | 0.0659051 | − | 0.0239875i | ||||
\(562\) | −1.87576e6 | − | 3.24891e6i | −0.250517 | − | 0.433908i | ||||
\(563\) | −2.12649e6 | + | 3.68319e6i | −0.282744 | + | 0.489726i | −0.972060 | − | 0.234735i | \(-0.924578\pi\) |
0.689316 | + | 0.724461i | \(0.257911\pi\) | |||||||
\(564\) | −129549. | + | 734709.i | −0.0171489 | + | 0.0972562i | ||||
\(565\) | 6.63137e6 | − | 5.56438e6i | 0.873941 | − | 0.733324i | ||||
\(566\) | −1.44343e6 | − | 1.21118e6i | −0.189389 | − | 0.158916i | ||||
\(567\) | −4.55878e6 | − | 2.58541e7i | −0.595513 | − | 3.37732i | ||||
\(568\) | 1.51495e6 | + | 551398.i | 0.197028 | + | 0.0717124i | ||||
\(569\) | 2.55215e6 | 0.330465 | 0.165233 | − | 0.986255i | \(-0.447163\pi\) | ||||
0.165233 | + | 0.986255i | \(0.447163\pi\) | |||||||
\(570\) | −6.84390e6 | + | 1.52314e7i | −0.882301 | + | 1.96360i | ||||
\(571\) | −5.71384e6 | −0.733395 | −0.366698 | − | 0.930340i | \(-0.619512\pi\) | ||||
−0.366698 | + | 0.930340i | \(0.619512\pi\) | |||||||
\(572\) | 421485. | + | 153408.i | 0.0538632 | + | 0.0196046i | ||||
\(573\) | 793465. | + | 4.49996e6i | 0.100958 | + | 0.572562i | ||||
\(574\) | 582824. | + | 489047.i | 0.0738342 | + | 0.0619543i | ||||
\(575\) | 1.08527e7 | − | 9.10648e6i | 1.36889 | − | 1.14863i | ||||
\(576\) | 452469. | − | 2.56608e6i | 0.0568241 | − | 0.322266i | ||||
\(577\) | −7.76723e6 | + | 1.34532e7i | −0.971240 | + | 1.68224i | −0.279415 | + | 0.960170i | \(0.590141\pi\) |
−0.691824 | + | 0.722066i | \(0.743193\pi\) | |||||||
\(578\) | 2.83303e6 | + | 4.90696e6i | 0.352722 | + | 0.610932i | ||||
\(579\) | 2.61279e7 | − | 9.50977e6i | 3.23898 | − | 1.17889i | ||||
\(580\) | −7.27204e6 | + | 2.64681e6i | −0.897608 | + | 0.326702i | ||||
\(581\) | 5.51161e6 | + | 9.54639e6i | 0.677389 | + | 1.17327i | ||||
\(582\) | 2.41686e6 | − | 4.18613e6i | 0.295763 | − | 0.512277i | ||||
\(583\) | 2.05204e6 | − | 1.16377e7i | 0.250043 | − | 1.41807i | ||||
\(584\) | 1.66591e6 | − | 1.39787e6i | 0.202125 | − | 0.169603i | ||||
\(585\) | 4.00686e6 | + | 3.36216e6i | 0.484077 | + | 0.406189i | ||||
\(586\) | −312726. | − | 1.77356e6i | −0.0376201 | − | 0.213354i | ||||
\(587\) | −1.51226e7 | − | 5.50419e6i | −1.81147 | − | 0.659322i | −0.996848 | − | 0.0793349i | \(-0.974720\pi\) |
−0.814625 | − | 0.579987i | \(-0.803057\pi\) | |||||||
\(588\) | −984495. | −0.117428 | ||||||||
\(589\) | 9.29798e6 | − | 945148.i | 1.10433 | − | 0.112257i | ||||
\(590\) | 724663. | 0.0857050 | ||||||||
\(591\) | 213814. | + | 77822.0i | 0.0251807 | + | 0.00916502i | ||||
\(592\) | −12760.5 | − | 72368.5i | −0.00149646 | − | 0.00848682i | ||||
\(593\) | 8.40984e6 | + | 7.05669e6i | 0.982089 | + | 0.824071i | 0.984403 | − | 0.175926i | \(-0.0562921\pi\) |
−0.00231383 | + | 0.999997i | \(0.500737\pi\) | |||||||
\(594\) | 1.08965e7 | − | 9.14321e6i | 1.26712 | − | 1.06324i | ||||
\(595\) | 123401. | − | 699844.i | 0.0142899 | − | 0.0810418i | ||||
\(596\) | −2.03396e6 | + | 3.52293e6i | −0.234546 | + | 0.406245i | ||||
\(597\) | 3.33357e6 | + | 5.77391e6i | 0.382802 | + | 0.663032i | ||||
\(598\) | −1.00264e6 | + | 364932.i | −0.114655 | + | 0.0417311i | ||||
\(599\) | −1.35227e7 | + | 4.92188e6i | −1.53992 | + | 0.560485i | −0.966026 | − | 0.258445i | \(-0.916790\pi\) |
−0.573893 | + | 0.818930i | \(0.694568\pi\) | |||||||
\(600\) | 4.63081e6 | + | 8.02080e6i | 0.525145 | + | 0.909577i | ||||
\(601\) | −830649. | + | 1.43873e6i | −0.0938062 | + | 0.162477i | −0.909110 | − | 0.416557i | \(-0.863237\pi\) |
0.815304 | + | 0.579034i | \(0.196570\pi\) | |||||||
\(602\) | −770589. | + | 4.37023e6i | −0.0866626 | + | 0.491488i | ||||
\(603\) | −3.07591e7 | + | 2.58100e7i | −3.44493 | + | 2.89064i | ||||
\(604\) | 3.83144e6 | + | 3.21496e6i | 0.427336 | + | 0.358577i | ||||
\(605\) | −1.05637e6 | − | 5.99096e6i | −0.117335 | − | 0.665439i | ||||
\(606\) | 1.45226e7 | + | 5.28578e6i | 1.60643 | + | 0.584693i | ||||
\(607\) | −2.67042e6 | −0.294177 | −0.147088 | − | 0.989123i | \(-0.546990\pi\) | ||||
−0.147088 | + | 0.989123i | \(0.546990\pi\) | |||||||
\(608\) | 1.45066e6 | − | 701407.i | 0.159150 | − | 0.0769505i | ||||
\(609\) | 2.20247e7 | 2.40640 | ||||||||
\(610\) | −7.32530e6 | − | 2.66619e6i | −0.797078 | − | 0.290113i | ||||
\(611\) | 25094.4 | + | 142317.i | 0.00271940 | + | 0.0154225i | ||||
\(612\) | −450670. | − | 378157.i | −0.0486385 | − | 0.0408125i | ||||
\(613\) | 672954. | − | 564676.i | 0.0723326 | − | 0.0606943i | −0.605905 | − | 0.795537i | \(-0.707189\pi\) |
0.678237 | + | 0.734843i | \(0.262744\pi\) | |||||||
\(614\) | −141381. | + | 801812.i | −0.0151346 | + | 0.0858325i | ||||
\(615\) | −1.83610e6 | + | 3.18022e6i | −0.195753 | + | 0.339054i | ||||
\(616\) | −1.34140e6 | − | 2.32338e6i | −0.142432 | − | 0.246700i | ||||
\(617\) | 1.29954e7 | − | 4.72996e6i | 1.37429 | − | 0.500201i | 0.453848 | − | 0.891079i | \(-0.350051\pi\) |
0.920442 | + | 0.390879i | \(0.127829\pi\) | |||||||
\(618\) | 1.90721e7 | − | 6.94167e6i | 2.00876 | − | 0.731127i | ||||
\(619\) | −3.33999e6 | − | 5.78502e6i | −0.350363 | − | 0.606846i | 0.635950 | − | 0.771730i | \(-0.280608\pi\) |
−0.986313 | + | 0.164884i | \(0.947275\pi\) | |||||||
\(620\) | 4.25133e6 | − | 7.36352e6i | 0.444166 | − | 0.769318i | ||||
\(621\) | −5.87578e6 | + | 3.33232e7i | −0.611416 | + | 3.46751i | ||||
\(622\) | −7.18118e6 | + | 6.02572e6i | −0.744251 | + | 0.624501i | ||||
\(623\) | 5.24246e6 | + | 4.39894e6i | 0.541146 | + | 0.454076i | ||||
\(624\) | −121125. | − | 686936.i | −0.0124530 | − | 0.0706244i | ||||
\(625\) | 1.12485e6 | + | 409412.i | 0.115185 | + | 0.0419237i | ||||
\(626\) | −8.55119e6 | −0.872149 | ||||||||
\(627\) | 1.37984e7 | + | 3.49046e6i | 1.40172 | + | 0.354579i | ||||
\(628\) | −3.96344e6 | −0.401027 | ||||||||
\(629\) | −15590.8 | − | 5674.60i | −0.00157124 | − | 0.000571885i | ||||
\(630\) | −5.43267e6 | − | 3.08102e7i | −0.545333 | − | 3.09274i | ||||
\(631\) | 8.82660e6 | + | 7.40640e6i | 0.882511 | + | 0.740515i | 0.966694 | − | 0.255936i | \(-0.0823836\pi\) |
−0.0841830 | + | 0.996450i | \(0.526828\pi\) | |||||||
\(632\) | −683437. | + | 573472.i | −0.0680622 | + | 0.0571110i | ||||
\(633\) | 619179. | − | 3.51154e6i | 0.0614196 | − | 0.348328i | ||||
\(634\) | 1.38752e6 | − | 2.40325e6i | 0.137093 | − | 0.237452i | ||||
\(635\) | −7.37169e6 | − | 1.27681e7i | −0.725492 | − | 1.25659i | ||||
\(636\) | −1.72691e7 | + | 6.28545e6i | −1.69289 | + | 0.616160i | ||||
\(637\) | −179201. | + | 65224.0i | −0.0174982 | + | 0.00636882i | ||||
\(638\) | 3.29812e6 | + | 5.71250e6i | 0.320785 | + | 0.555616i | ||||
\(639\) | 8.01239e6 | − | 1.38779e7i | 0.776265 | − | 1.34453i | ||||
\(640\) | 254559. | − | 1.44367e6i | 0.0245662 | − | 0.139322i | ||||
\(641\) | 1.18820e7 | − | 9.97017e6i | 1.14220 | − | 0.958423i | 0.142696 | − | 0.989767i | \(-0.454423\pi\) |
0.999509 | + | 0.0313431i | \(0.00997845\pi\) | |||||||
\(642\) | −1.34882e7 | − | 1.13179e7i | −1.29156 | − | 1.08375i | ||||
\(643\) | 1.90688e6 | + | 1.08145e7i | 0.181885 | + | 1.03152i | 0.929893 | + | 0.367831i | \(0.119899\pi\) |
−0.748008 | + | 0.663690i | \(0.768989\pi\) | |||||||
\(644\) | 5.99707e6 | + | 2.18276e6i | 0.569803 | + | 0.207391i | ||||
\(645\) | −2.14188e7 | −2.02720 | ||||||||
\(646\) | 26617.7 | − | 362831.i | 0.00250951 | − | 0.0342076i | ||||
\(647\) | 670576. | 0.0629778 | 0.0314889 | − | 0.999504i | \(-0.489975\pi\) | ||||
0.0314889 | + | 0.999504i | \(0.489975\pi\) | |||||||
\(648\) | −1.14899e7 | − | 4.18200e6i | −1.07493 | − | 0.391243i | ||||
\(649\) | −107259. | − | 608293.i | −0.00999586 | − | 0.0566893i | ||||
\(650\) | 1.37431e6 | + | 1.15318e6i | 0.127585 | + | 0.107057i | ||||
\(651\) | −1.85374e7 | + | 1.55547e7i | −1.71434 | + | 1.43850i | ||||
\(652\) | 1.03941e6 | − | 5.89481e6i | 0.0957568 | − | 0.543064i | ||||
\(653\) | 972476. | − | 1.68438e6i | 0.0892475 | − | 0.154581i | −0.817946 | − | 0.575295i | \(-0.804887\pi\) |
0.907193 | + | 0.420714i | \(0.138220\pi\) | |||||||
\(654\) | −1.29959e6 | − | 2.25096e6i | −0.118813 | − | 0.205790i | ||||
\(655\) | −1.07441e7 | + | 3.91052e6i | −0.978510 | + | 0.356149i | ||||
\(656\) | 332984. | − | 121196.i | 0.0302109 | − | 0.0109959i | ||||
\(657\) | −1.08080e7 | − | 1.87201e7i | −0.976863 | − | 1.69198i | ||||
\(658\) | 432184. | − | 748565.i | 0.0389139 | − | 0.0674008i | ||||
\(659\) | −498145. | + | 2.82512e6i | −0.0446830 | + | 0.253410i | −0.998964 | − | 0.0455001i | \(-0.985512\pi\) |
0.954281 | + | 0.298910i | \(0.0966230\pi\) | |||||||
\(660\) | 9.91941e6 | − | 8.32338e6i | 0.886393 | − | 0.743772i | ||||
\(661\) | −4.39101e6 | − | 3.68450e6i | −0.390896 | − | 0.328001i | 0.426066 | − | 0.904692i | \(-0.359899\pi\) |
−0.816962 | + | 0.576691i | \(0.804344\pi\) | |||||||
\(662\) | 1.00594e6 | + | 5.70496e6i | 0.0892127 | + | 0.505950i | ||||
\(663\) | −147991. | − | 53864.5i | −0.0130753 | − | 0.00475903i | ||||
\(664\) | 5.13407e6 | 0.451899 | ||||||||
\(665\) | 1.34869e7 | − | 1.38709e7i | 1.18265 | − | 1.21633i | ||||
\(666\) | −730427. | −0.0638104 | ||||||||
\(667\) | −1.47450e7 | − | 5.36675e6i | −1.28331 | − | 0.467086i | ||||
\(668\) | 1.72489e6 | + | 9.78233e6i | 0.149562 | + | 0.848206i | ||||
\(669\) | −500677. | − | 420118.i | −0.0432506 | − | 0.0362916i | ||||
\(670\) | −1.73051e7 | + | 1.45207e7i | −1.48931 | + | 1.24968i | ||||
\(671\) | −1.15381e6 | + | 6.54359e6i | −0.0989302 | + | 0.561061i | ||||
\(672\) | −2.08606e6 | + | 3.61317e6i | −0.178199 | + | 0.308649i | ||||
\(673\) | 7.14930e6 | + | 1.23830e7i | 0.608452 | + | 1.05387i | 0.991496 | + | 0.130139i | \(0.0415423\pi\) |
−0.383044 | + | 0.923730i | \(0.625124\pi\) | |||||||
\(674\) | 5.05366e6 | − | 1.83938e6i | 0.428505 | − | 0.155963i | ||||
\(675\) | 5.34626e7 | − | 1.94588e7i | 4.51638 | − | 1.64383i | ||||
\(676\) | 2.90279e6 | + | 5.02777e6i | 0.244314 | + | 0.423164i | ||||
\(677\) | −8.02151e6 | + | 1.38937e7i | −0.672643 | + | 1.16505i | 0.304509 | + | 0.952509i | \(0.401508\pi\) |
−0.977152 | + | 0.212542i | \(0.931826\pi\) | |||||||
\(678\) | −1.99257e6 | + | 1.13004e7i | −0.166471 | + | 0.944105i | ||||
\(679\) | −4.29013e6 | + | 3.59985e6i | −0.357105 | + | 0.299647i | ||||
\(680\) | −253546. | − | 212751.i | −0.0210274 | − | 0.0176441i | ||||
\(681\) | −6.57114e6 | − | 3.72668e7i | −0.542967 | − | 3.07932i | ||||
\(682\) | −6.81029e6 | − | 2.47874e6i | −0.560667 | − | 0.204066i | ||||
\(683\) | −2.01746e6 | −0.165483 | −0.0827416 | − | 0.996571i | \(-0.526368\pi\) | ||||
−0.0827416 | + | 0.996571i | \(0.526368\pi\) | |||||||
\(684\) | −4.36207e6 | − | 1.54109e7i | −0.356494 | − | 1.25947i | ||||
\(685\) | −1.20391e6 | −0.0980317 | ||||||||
\(686\) | −7.60900e6 | − | 2.76945e6i | −0.617330 | − | 0.224690i | ||||
\(687\) | −401354. | − | 2.27619e6i | −0.0324441 | − | 0.184000i | ||||
\(688\) | 1.58329e6 | + | 1.32854e6i | 0.127523 | + | 0.107005i | ||||
\(689\) | −2.72698e6 | + | 2.28820e6i | −0.218843 | + | 0.183631i | ||||
\(690\) | −5.34892e6 | + | 3.03352e7i | −0.427704 | + | 2.42563i | ||||
\(691\) | −1.72264e6 | + | 2.98370e6i | −0.137246 | + | 0.237717i | −0.926453 | − | 0.376410i | \(-0.877158\pi\) |
0.789207 | + | 0.614127i | \(0.210492\pi\) | |||||||
\(692\) | −1.78337e6 | − | 3.08888e6i | −0.141571 | − | 0.245209i | ||||
\(693\) | −2.50584e7 | + | 9.12053e6i | −1.98208 | + | 0.721418i | ||||
\(694\) | −1.14686e7 | + | 4.17422e6i | −0.903879 | + | 0.328985i | ||||
\(695\) | 4.95010e6 | + | 8.57382e6i | 0.388733 | + | 0.673306i | ||||
\(696\) | 5.12902e6 | − | 8.88372e6i | 0.401339 | − | 0.695139i | ||||
\(697\) | 13892.9 | − | 78790.6i | 0.00108321 | − | 0.00614317i | ||||
\(698\) | −370243. | + | 310670.i | −0.0287639 | + | 0.0241358i | ||||
\(699\) | −5.51547e6 | − | 4.62803e6i | −0.426962 | − | 0.358264i | ||||
\(700\) | −1.86334e6 | − | 1.05675e7i | −0.143730 | − | 0.815133i | ||||
\(701\) | 9.34576e6 | + | 3.40158e6i | 0.718323 | + | 0.261448i | 0.675214 | − | 0.737622i | \(-0.264051\pi\) |
0.0431092 | + | 0.999070i | \(0.486274\pi\) | |||||||
\(702\) | −4.28491e6 | −0.328170 | ||||||||
\(703\) | −264248. | − | 366331.i | −0.0201661 | − | 0.0279567i | ||||
\(704\) | −1.24952e6 | −0.0950192 | ||||||||
\(705\) | 3.92037e6 | + | 1.42690e6i | 0.297067 | + | 0.108124i | ||||
\(706\) | 1.14997e6 | + | 6.52182e6i | 0.0868312 | + | 0.492444i | ||||
\(707\) | −1.37166e7 | − | 1.15096e7i | −1.03204 | − | 0.865988i | ||||
\(708\) | −735840. | + | 617443.i | −0.0551697 | + | 0.0462929i | ||||
\(709\) | −3.57390e6 | + | 2.02686e7i | −0.267010 | + | 1.51429i | 0.496240 | + | 0.868185i | \(0.334714\pi\) |
−0.763250 | + | 0.646103i | \(0.776398\pi\) | |||||||
\(710\) | 4.50776e6 | − | 7.80767e6i | 0.335595 | − | 0.581267i | ||||
\(711\) | 4.43398e6 | + | 7.67988e6i | 0.328942 | + | 0.569745i | ||||
\(712\) | 2.99516e6 | − | 1.09015e6i | 0.221422 | − | 0.0805909i | ||||
\(713\) | 1.62006e7 | − | 5.89652e6i | 1.19345 | − | 0.434382i | ||||
\(714\) | 470992. | + | 815782.i | 0.0345755 | + | 0.0598864i | ||||
\(715\) | 1.25414e6 | − | 2.17223e6i | 0.0917444 | − | 0.158906i | ||||
\(716\) | −1.19333e6 | + | 6.76773e6i | −0.0869919 | + | 0.493356i | ||||
\(717\) | 3.15825e6 | − | 2.65008e6i | 0.229429 | − | 0.192514i | ||||
\(718\) | 1.43126e7 | + | 1.20097e7i | 1.03611 | + | 0.869402i | ||||
\(719\) | 608105. | + | 3.44874e6i | 0.0438689 | + | 0.248793i | 0.998854 | − | 0.0478609i | \(-0.0152404\pi\) |
−0.954985 | + | 0.296654i | \(0.904129\pi\) | |||||||
\(720\) | −1.36925e7 | − | 4.98366e6i | −0.984354 | − | 0.358275i | ||||
\(721\) | −2.35151e7 | −1.68465 | ||||||||
\(722\) | 6.15095e6 | − | 7.76292e6i | 0.439136 | − | 0.554220i | ||||
\(723\) | 1.83878e7 | 1.30823 | ||||||||
\(724\) | −6.74056e6 | − | 2.45336e6i | −0.477914 | − | 0.173946i | ||||
\(725\) | 4.58141e6 | + | 2.59825e7i | 0.323708 | + | 1.83584i | ||||
\(726\) | 6.17721e6 | + | 5.18330e6i | 0.434962 | + | 0.364976i | ||||
\(727\) | 1.62731e7 | − | 1.36548e7i | 1.14192 | − | 0.958183i | 0.142418 | − | 0.989807i | \(-0.454512\pi\) |
0.999500 | + | 0.0316233i | \(0.0100677\pi\) | |||||||
\(728\) | −140336. | + | 795887.i | −0.00981390 | + | 0.0556574i | ||||
\(729\) | −1.87740e7 | + | 3.25176e7i | −1.30839 | + | 2.26620i | ||||
\(730\) | −6.08060e6 | − | 1.05319e7i | −0.422318 | − | 0.731475i | ||||
\(731\) | 438508. | − | 159604.i | 0.0303518 | − | 0.0110471i | ||||
\(732\) | 9.70999e6 | − | 3.53415e6i | 0.669794 | − | 0.243785i | ||||
\(733\) | −1.23297e7 | − | 2.13557e7i | −0.847603 | − | 1.46809i | −0.883342 | − | 0.468730i | \(-0.844712\pi\) |
0.0357389 | − | 0.999361i | \(-0.488622\pi\) | |||||||
\(734\) | 8.02434e6 | − | 1.38986e7i | 0.549755 | − | 0.952204i | ||||
\(735\) | −956008. | + | 5.42179e6i | −0.0652744 | + | 0.370190i | ||||
\(736\) | 2.27699e6 | − | 1.91062e6i | 0.154941 | − | 0.130011i | ||||
\(737\) | 1.47502e7 | + | 1.23769e7i | 1.00030 | + | 0.839350i | ||||
\(738\) | −611626. | − | 3.46871e6i | −0.0413376 | − | 0.234437i | ||||
\(739\) | −9.29858e6 | − | 3.38441e6i | −0.626333 | − | 0.227967i | 0.00930138 | − | 0.999957i | \(-0.497039\pi\) |
−0.635635 | + | 0.771990i | \(0.719261\pi\) | |||||||
\(740\) | −410937. | −0.0275865 | ||||||||
\(741\) | −2.50829e6 | − | 3.47729e6i | −0.167816 | − | 0.232646i | ||||
\(742\) | 2.12922e7 | 1.41974 | ||||||||
\(743\) | 1.24700e7 | + | 4.53872e6i | 0.828696 | + | 0.301621i | 0.721324 | − | 0.692598i | \(-0.243534\pi\) |
0.107372 | + | 0.994219i | \(0.465756\pi\) | |||||||
\(744\) | 1.95712e6 | + | 1.10994e7i | 0.129624 | + | 0.735135i | ||||
\(745\) | 1.74263e7 | + | 1.46224e7i | 1.15031 | + | 0.965223i | ||||
\(746\) | −3.59276e6 | + | 3.01468e6i | −0.236364 | + | 0.198333i | ||||
\(747\) | 8.86158e6 | − | 5.02565e7i | 0.581045 | − | 3.29527i | ||||
\(748\) | −141058. | + | 244320.i | −0.00921817 | + | 0.0159663i | ||||
\(749\) | 1.02001e7 | + | 1.76671e7i | 0.664354 | + | 1.15069i | ||||
\(750\) | 1.75068e7 | − | 6.37197e6i | 1.13646 | − | 0.413638i | ||||
\(751\) | −1.82592e7 | + | 6.64582e6i | −1.18136 | + | 0.429981i | −0.856683 | − | 0.515844i | \(-0.827479\pi\) |
−0.324679 | + | 0.945824i | \(0.605256\pi\) | |||||||
\(752\) | −201290. | − | 348645.i | −0.0129801 | − | 0.0224822i | ||||
\(753\) | 1.30966e7 | − | 2.26839e7i | 0.841724 | − | 1.45791i | ||||
\(754\) | 345046. | − | 1.95685e6i | 0.0221029 | − | 0.125352i | ||||
\(755\) | 2.14259e7 | − | 1.79785e7i | 1.36796 | − | 1.14785i | ||||
\(756\) | 1.96331e7 | + | 1.64741e7i | 1.24935 | + | 1.04833i | ||||
\(757\) | −3.11786e6 | − | 1.76823e7i | −0.197750 | − | 1.12150i | −0.908447 | − | 0.417999i | \(-0.862732\pi\) |
0.710697 | − | 0.703498i | \(-0.248380\pi\) | |||||||
\(758\) | −4.58691e6 | − | 1.66950e6i | −0.289966 | − | 0.105539i | ||||
\(759\) | 2.62556e7 | 1.65431 | ||||||||
\(760\) | −2.45409e6 | − | 8.67014e6i | −0.154119 | − | 0.544493i | ||||
\(761\) | −3.11076e7 | −1.94717 | −0.973587 | − | 0.228315i | \(-0.926678\pi\) | ||||
−0.973587 | + | 0.228315i | \(0.926678\pi\) | |||||||
\(762\) | 1.83644e7 | + | 6.68409e6i | 1.14575 | + | 0.417018i | ||||
\(763\) | 522929. | + | 2.96568e6i | 0.0325186 | + | 0.184422i | ||||
\(764\) | −1.88886e6 | − | 1.58494e6i | −0.117076 | − | 0.0982382i | ||||
\(765\) | −2.52021e6 | + | 2.11471e6i | −0.155698 | + | 0.130646i | ||||
\(766\) | 1.74620e6 | − | 9.90322e6i | 0.107528 | − | 0.609824i | ||||
\(767\) | −93034.1 | + | 161140.i | −0.00571023 | + | 0.00989041i | ||||
\(768\) | 971586. | + | 1.68284e6i | 0.0594399 | + | 0.102953i | ||||
\(769\) | −1.91615e7 | + | 6.97421e6i | −1.16846 | + | 0.425284i | −0.852112 | − | 0.523360i | \(-0.824678\pi\) |
−0.316347 | + | 0.948644i | \(0.602456\pi\) | |||||||
\(770\) | −1.40979e7 | + | 5.13120e6i | −0.856892 | + | 0.311883i | ||||
\(771\) | 2.39900e7 | + | 4.15519e7i | 1.45343 | + | 2.51742i | ||||
\(772\) | −7.50200e6 | + | 1.29938e7i | −0.453037 | + | 0.784683i | ||||
\(773\) | 3.24962e6 | − | 1.84295e7i | 0.195607 | − | 1.10934i | −0.715945 | − | 0.698157i | \(-0.754004\pi\) |
0.911552 | − | 0.411185i | \(-0.134885\pi\) | |||||||
\(774\) | 1.57376e7 | − | 1.32054e7i | 0.944249 | − | 0.792319i | ||||
\(775\) | −2.22058e7 | − | 1.86329e7i | −1.32804 | − | 1.11436i | ||||
\(776\) | 452940. | + | 2.56875e6i | 0.0270014 | + | 0.153133i | ||||
\(777\) | 1.09901e6 | + | 400007.i | 0.0653054 | + | 0.0237692i | ||||
\(778\) | 1.20368e7 | 0.712955 | ||||||||
\(779\) | 1.51839e6 | − | 1.56163e6i | 0.0896479 | − | 0.0922006i | ||||
\(780\) | −3.90070e6 | −0.229565 | ||||||||
\(781\) | −7.22108e6 | − | 2.62826e6i | −0.423618 | − | 0.154184i | ||||
\(782\) | −116537. | − | 660913.i | −0.00681469 | − | 0.0386480i | ||||
\(783\) | −4.82720e7 | − | 4.05050e7i | −2.81378 | − | 2.36105i | ||||
\(784\) | 406964. | − | 341483.i | 0.0236464 | − | 0.0198417i | ||||
\(785\) | −3.84876e6 | + | 2.18274e7i | −0.222919 | + | 1.26424i | ||||
\(786\) | 7.57785e6 | − | 1.31252e7i | 0.437512 | − | 0.757793i | ||||
\(787\) | 1.09395e7 | + | 1.89477e7i | 0.629591 | + | 1.09048i | 0.987634 | + | 0.156779i | \(0.0501110\pi\) |
−0.358042 | + | 0.933705i | \(0.616556\pi\) | |||||||
\(788\) | −115379. | + | 41994.4i | −0.00661926 | + | 0.00240921i | ||||
\(789\) | −1.43601e7 | + | 5.22664e6i | −0.821228 | + | 0.298903i | ||||
\(790\) | 2.49455e6 | + | 4.32069e6i | 0.142208 | + | 0.246312i | ||||
\(791\) | 6.64734e6 | − | 1.15135e7i | 0.377752 | − | 0.654286i | ||||
\(792\) | −2.15671e6 | + | 1.22313e7i | −0.122174 | + | 0.692884i | ||||
\(793\) | 1.53331e6 | − | 1.28660e6i | 0.0865858 | − | 0.0726541i | ||||
\(794\) | −1.01458e7 | − | 8.51334e6i | −0.571130 | − | 0.479235i | ||||
\(795\) | 1.78457e7 | + | 1.01208e8i | 1.00142 | + | 5.67932i | ||||
\(796\) | −3.38076e6 | − | 1.23050e6i | −0.189117 | − | 0.0688331i | ||||
\(797\) | −2.57470e7 | −1.43576 | −0.717879 | − | 0.696168i | \(-0.754887\pi\) | ||||
−0.717879 | + | 0.696168i | \(0.754887\pi\) | |||||||
\(798\) | −1.87630e6 | + | 2.55762e7i | −0.104303 | + | 1.42177i | ||||
\(799\) | −90894.7 | −0.00503699 | ||||||||
\(800\) | −4.69636e6 | − | 1.70934e6i | −0.259440 | − | 0.0944284i | ||||
\(801\) | −5.50153e6 | − | 3.12007e7i | −0.302972 | − | 1.71824i | ||||
\(802\) | 1.45144e7 | + | 1.21790e7i | 0.796825 | + | 0.668616i | ||||
\(803\) | −7.94064e6 | + | 6.66299e6i | −0.434577 | + | 0.364653i | ||||
\(804\) | 5.19975e6 | − | 2.94893e7i | 0.283689 | − | 1.60888i | ||||
\(805\) | 1.78444e7 | − | 3.09074e7i | 0.970536 | − | 1.68102i | ||||
\(806\) | 1.09159e6 | + | 1.89069e6i | 0.0591866 | + | 0.102514i | ||||
\(807\) | 1.72805e7 | − | 6.28958e6i | 0.934053 | − | 0.339968i | ||||
\(808\) | −7.83668e6 | + | 2.85232e6i | −0.422283 | + | 0.153699i | ||||
\(809\) | −7.77456e6 | − | 1.34659e7i | −0.417642 | − | 0.723378i | 0.578059 | − | 0.815995i | \(-0.303810\pi\) |
−0.995702 | + | 0.0926168i | \(0.970477\pi\) | |||||||
\(810\) | −3.41885e7 | + | 5.92162e7i | −1.83091 | + | 3.17123i | ||||
\(811\) | −4.01246e6 | + | 2.27558e7i | −0.214219 | + | 1.21490i | 0.668037 | + | 0.744128i | \(0.267135\pi\) |
−0.882256 | + | 0.470770i | \(0.843976\pi\) | |||||||
\(812\) | −9.10444e6 | + | 7.63953e6i | −0.484577 | + | 0.406609i | ||||
\(813\) | −2.55088e7 | − | 2.14044e7i | −1.35352 | − | 1.13573i | ||||
\(814\) | 60823.5 | + | 344947.i | 0.00321744 | + | 0.0182470i | ||||
\(815\) | −3.14544e7 | − | 1.14485e7i | −1.65878 | − | 0.603745i | ||||
\(816\) | 438730. | 0.0230660 | ||||||||
\(817\) | 1.23163e7 | + | 3.11555e6i | 0.645545 | + | 0.163297i | ||||
\(818\) | −7.25857e6 | −0.379287 | ||||||||
\(819\) | 7.54857e6 | + | 2.74745e6i | 0.393238 | + | 0.143127i | ||||
\(820\) | −344100. | − | 1.95149e6i | −0.0178711 | − | 0.101352i | ||||
\(821\) | 4.75734e6 | + | 3.99189e6i | 0.246324 | + | 0.206690i | 0.757587 | − | 0.652734i | \(-0.226378\pi\) |
−0.511263 | + | 0.859424i | \(0.670822\pi\) | |||||||
\(822\) | 1.22248e6 | − | 1.02578e6i | 0.0631046 | − | 0.0529510i | ||||
\(823\) | −127380. | + | 722407.i | −0.00655543 | + | 0.0371777i | −0.987910 | − | 0.155028i | \(-0.950453\pi\) |
0.981355 | + | 0.192206i | \(0.0615642\pi\) | |||||||
\(824\) | −5.47610e6 | + | 9.48488e6i | −0.280966 | + | 0.486647i | ||||
\(825\) | −2.20729e7 | − | 3.82315e7i | −1.12908 | − | 1.95563i | ||||
\(826\) | 1.04580e6 | − | 380642.i | 0.0533336 | − | 0.0194118i | ||||
\(827\) | −1.75108e7 | + | 6.37342e6i | −0.890313 | + | 0.324048i | −0.746364 | − | 0.665538i | \(-0.768202\pi\) |
−0.143949 | + | 0.989585i | \(0.545980\pi\) | |||||||
\(828\) | −1.47726e7 | − | 2.55868e7i | −0.748824 | − | 1.29700i | ||||
\(829\) | 8.76747e6 | − | 1.51857e7i | 0.443086 | − | 0.767447i | −0.554831 | − | 0.831963i | \(-0.687217\pi\) |
0.997917 | + | 0.0645159i | \(0.0205503\pi\) | |||||||
\(830\) | 4.98552e6 | − | 2.82743e7i | 0.251197 | − | 1.42461i | ||||
\(831\) | −4.38993e7 | + | 3.68359e7i | −2.20524 | + | 1.85041i | ||||
\(832\) | 288342. | + | 241947.i | 0.0144411 | + | 0.0121175i | ||||
\(833\) | −20828.5 | − | 118124.i | −0.00104003 | − | 0.00589830i | ||||
\(834\) | −1.23317e7 | − | 4.48837e6i | −0.613914 | − | 0.223447i | ||||
\(835\) | 5.55480e7 | 2.75710 | ||||||||
\(836\) | −6.91461e6 | + | 3.34328e6i | −0.342178 | + | 0.165446i | ||||
\(837\) | 6.92349e7 | 3.41595 | ||||||||
\(838\) | 1.72153e7 | + | 6.26587e6i | 0.846847 | + | 0.308227i | ||||
\(839\) | −3.91080e6 | − | 2.21793e7i | −0.191805 | − | 1.08778i | −0.916895 | − | 0.399128i | \(-0.869313\pi\) |
0.725090 | − | 0.688654i | \(-0.241798\pi\) | |||||||
\(840\) | 1.78727e7 | + | 1.49969e7i | 0.873959 | + | 0.733339i | ||||
\(841\) | 6.67269e6 | − | 5.59905e6i | 0.325320 | − | 0.272976i | ||||
\(842\) | −2.27442e6 | + | 1.28989e7i | −0.110558 | + | 0.627006i | ||||
\(843\) | 1.39043e7 | − | 2.40829e7i | 0.673876 | − | 1.16719i | ||||
\(844\) | 962066. | + | 1.66635e6i | 0.0464889 | + | 0.0805211i | ||||
\(845\) | 3.05076e7 | − | 1.11039e7i | 1.46983 | − | 0.534974i | ||||
\(846\) | −3.76025e6 | + | 1.36862e6i | −0.180631 | + | 0.0657441i | ||||
\(847\) | −4.67136e6 | − | 8.09104e6i | −0.223736 | − | 0.387522i | ||||
\(848\) | 4.95842e6 | − | 8.58824e6i | 0.236785 | − | 0.410123i | ||||
\(849\) | 2.42540e6 | − | 1.37551e7i | 0.115482 | − | 0.654930i | ||||
\(850\) | −864402. | + | 725319.i | −0.0410363 | + | 0.0344336i | ||||
\(851\) | −638291. | − | 535590.i | −0.0302131 | − | 0.0253518i | ||||
\(852\) | 2.07517e6 | + | 1.17689e7i | 0.0979390 | + | 0.555440i | ||||
\(853\) | 1.87373e7 | + | 6.81983e6i | 0.881729 | + | 0.320923i | 0.742907 | − | 0.669394i | \(-0.233446\pi\) |
0.138822 | + | 0.990317i | \(0.455669\pi\) | |||||||
\(854\) | −1.19720e7 | −0.561725 | ||||||||
\(855\) | −8.91063e7 | + | 9.05773e6i | −4.16863 | + | 0.423745i | ||||
\(856\) | 9.50140e6 | 0.443203 | ||||||||
\(857\) | 1.10961e7 | + | 4.03865e6i | 0.516082 | + | 0.187839i | 0.586913 | − | 0.809650i | \(-0.300343\pi\) |
−0.0708312 | + | 0.997488i | \(0.522565\pi\) | |||||||
\(858\) | 577349. | + | 3.27431e6i | 0.0267744 | + | 0.151845i | ||||
\(859\) | −7.02070e6 | − | 5.89107e6i | −0.324637 | − | 0.272403i | 0.465874 | − | 0.884851i | \(-0.345740\pi\) |
−0.790510 | + | 0.612449i | \(0.790185\pi\) | |||||||
\(860\) | 8.85397e6 | − | 7.42936e6i | 0.408218 | − | 0.342535i | ||||
\(861\) | −979321. | + | 5.55400e6i | −0.0450212 | + | 0.255328i | ||||
\(862\) | 6.70665e6 | − | 1.16163e7i | 0.307424 | − | 0.532473i | ||||
\(863\) | 1.85760e7 | + | 3.21745e7i | 0.849033 | + | 1.47057i | 0.882072 | + | 0.471114i | \(0.156148\pi\) |
−0.0330392 | + | 0.999454i | \(0.510519\pi\) | |||||||
\(864\) | 1.12169e7 | − | 4.08263e6i | 0.511199 | − | 0.186061i | ||||
\(865\) | −1.87428e7 | + | 6.82182e6i | −0.851715 | + | 0.309999i | ||||
\(866\) | −1.33419e7 | − | 2.31088e7i | −0.604535 | − | 1.04709i | ||||
\(867\) | −2.10002e7 | + | 3.63734e7i | −0.948801 | + | 1.64337i | ||||
\(868\) | 2.26753e6 | − | 1.28598e7i | 0.102154 | − | 0.579343i | ||||
\(869\) | 3.25763e6 | − | 2.73348e6i | 0.146336 | − | 0.122791i | ||||
\(870\) | −4.39436e7 | − | 3.68731e7i | −1.96833 | − | 1.65162i | ||||
\(871\) | −1.00722e6 | − | 5.71224e6i | −0.0449863 | − | 0.255130i | ||||
\(872\) | 1.31799e6 | + | 479709.i | 0.0586976 | + | 0.0213642i | ||||
\(873\) | 2.59268e7 | 1.15137 | ||||||||
\(874\) | 7.48828e6 | − | 1.66655e7i | 0.331592 | − | 0.737970i | ||||
\(875\) | −2.15853e7 | −0.953097 | ||||||||
\(876\) | 1.51480e7 | + | 5.51342e6i | 0.666953 | + | 0.242751i | ||||
\(877\) | 804137. | + | 4.56049e6i | 0.0353046 | + | 0.200222i | 0.997358 | − | 0.0726375i | \(-0.0231416\pi\) |
−0.962054 | + | 0.272860i | \(0.912030\pi\) | |||||||
\(878\) | −9.59294e6 | − | 8.04943e6i | −0.419967 | − | 0.352394i | ||||
\(879\) | 1.02263e7 | − | 8.58088e6i | 0.446423 | − | 0.374593i | ||||
\(880\) | −1.21336e6 | + | 6.88133e6i | −0.0528183 | + | 0.299547i | ||||
\(881\) | 1.39972e7 | − | 2.42438e7i | 0.607575 | − | 1.05235i | −0.384063 | − | 0.923307i | \(-0.625476\pi\) |
0.991639 | − | 0.129045i | \(-0.0411911\pi\) | |||||||
\(882\) | −2.64029e6 | − | 4.57311e6i | −0.114282 | − | 0.197943i | ||||
\(883\) | −2.34654e7 | + | 8.54069e6i | −1.01280 | + | 0.368631i | −0.794509 | − | 0.607252i | \(-0.792272\pi\) |
−0.218295 | + | 0.975883i | \(0.570050\pi\) | |||||||
\(884\) | 79859.3 | − | 29066.4i | 0.00343712 | − | 0.00125101i | ||||
\(885\) | 2.68582e6 | + | 4.65198e6i | 0.115271 | + | 0.199655i | ||||
\(886\) | 3.35719e6 | − | 5.81483e6i | 0.143679 | − | 0.248859i | ||||
\(887\) | 4.41712e6 | − | 2.50507e7i | 0.188508 | − | 1.06908i | −0.732857 | − | 0.680383i | \(-0.761813\pi\) |
0.921365 | − | 0.388699i | \(-0.127075\pi\) | |||||||
\(888\) | 417276. | − | 350136.i | 0.0177579 | − | 0.0149006i | ||||
\(889\) | −1.73452e7 | − | 1.45544e7i | −0.736081 | − | 0.617645i | ||||
\(890\) | −3.09515e6 | − | 1.75535e7i | −0.130981 | − | 0.742828i | ||||
\(891\) | 5.47673e7 | + | 1.99337e7i | 2.31114 | + | 0.841187i | ||||
\(892\) | 352690. | 0.0148416 | ||||||||
\(893\) | −2.04676e6 | − | 1.39075e6i | −0.0858890 | − | 0.0583608i | ||||
\(894\) | −3.01540e7 | −1.26183 | ||||||||
\(895\) | 3.61123e7 | + | 1.31438e7i | 1.50694 | + | 0.548483i | ||||
\(896\) | −390946. | − | 2.21716e6i | −0.0162685 | − | 0.0922630i | ||||
\(897\) | −6.05879e6 | − | 5.08393e6i | −0.251423 | − | 0.210969i | ||||
\(898\) | 8.05965e6 | − | 6.76285e6i | 0.333523 | − | 0.279859i | ||||
\(899\) | −5.57520e6 | + | 3.16185e7i | −0.230070 | + | 1.30479i | ||||
\(900\) | −2.48385e7 | + | 4.30215e7i | −1.02216 | + | 1.77043i | ||||
\(901\) | −1.11951e6 | − | 1.93905e6i | −0.0459428 | − | 0.0795752i | ||||
\(902\) | −1.58718e6 | + | 577686.i | −0.0649546 | + | 0.0236415i | ||||
\(903\) | −3.09108e7 | + | 1.12506e7i | −1.26151 | + | 0.459152i | ||||
\(904\) | −3.09601e6 | − | 5.36244e6i | −0.126003 | − | 0.218243i | ||||
\(905\) | −2.00566e7 | + | 3.47391e7i | −0.814023 | + | 1.40993i | ||||
\(906\) | −6.43797e6 | + | 3.65116e7i | −0.260573 | + | 1.47778i | ||||
\(907\) | 7.27454e6 | − | 6.10407e6i | 0.293621 | − | 0.246377i | −0.484062 | − | 0.875034i | \(-0.660839\pi\) |
0.777683 | + | 0.628656i | \(0.216395\pi\) | |||||||
\(908\) | 1.56428e7 | + | 1.31258e7i | 0.629649 | + | 0.528338i | ||||
\(909\) | 1.43945e7 | + | 8.16351e7i | 0.577811 | + | 3.27693i | ||||
\(910\) | 4.24682e6 | + | 1.54572e6i | 0.170004 | + | 0.0618765i | ||||
\(911\) | −6.43324e6 | −0.256823 | −0.128412 | − | 0.991721i | \(-0.540988\pi\) | ||||
−0.128412 | + | 0.991721i | \(0.540988\pi\) | |||||||
\(912\) | 9.87927e6 | + | 6.71288e6i | 0.393312 | + | 0.267252i | ||||
\(913\) | −2.44718e7 | −0.971601 | ||||||||
\(914\) | 3.29304e7 | + | 1.19857e7i | 1.30386 | + | 0.474567i | ||||
\(915\) | −1.00342e7 | − | 5.69066e7i | −0.396213 | − | 2.24703i | ||||
\(916\) | 955434. | + | 801704.i | 0.0376237 | + | 0.0315701i | ||||
\(917\) | −1.34513e7 | + | 1.12870e7i | −0.528253 | + | 0.443257i | ||||
\(918\) | 467998. | − | 2.65415e6i | 0.0183290 | − | 0.103949i | ||||
\(919\) | 3.88425e6 | − | 6.72772e6i | 0.151712 | − | 0.262772i | −0.780145 | − | 0.625598i | \(-0.784855\pi\) |
0.931857 | + | 0.362826i | \(0.118188\pi\) | |||||||
\(920\) | −8.31103e6 | − | 1.43951e7i | −0.323732 | − | 0.560720i | ||||
\(921\) | −5.67124e6 | + | 2.06416e6i | −0.220307 | + | 0.0801854i | ||||
\(922\) | 1.16333e7 | − | 4.23417e6i | 0.450687 | − | 0.164037i | ||||
\(923\) | 1.15744e6 | + | 2.00474e6i | 0.0447191 | + | 0.0774557i | ||||
\(924\) | 9.94330e6 | − | 1.72223e7i | 0.383134 | − | 0.663608i | ||||
\(925\) | −243279. | + | 1.37970e6i | −0.00934867 | + | 0.0530189i | ||||
\(926\) | −4.00094e6 | + | 3.35719e6i | −0.153333 | + | 0.128661i | ||||
\(927\) | 8.33938e7 | + | 6.99757e7i | 3.18739 | + | 2.67453i | ||||
\(928\) | 961221. | + | 5.45135e6i | 0.0366398 | + | 0.207795i | ||||
\(929\) | 3.25628e7 | + | 1.18519e7i | 1.23789 | + | 0.450556i | 0.876294 | − | 0.481778i | \(-0.160009\pi\) |
0.361599 | + | 0.932334i | \(0.382231\pi\) | |||||||
\(930\) | 6.30269e7 | 2.38956 | ||||||||
\(931\) | 1.33837e6 | − | 2.97860e6i | 0.0506061 | − | 0.112626i | ||||
\(932\) | 3.88523e6 | 0.146513 | ||||||||
\(933\) | −6.52978e7 | − | 2.37665e7i | −2.45581 | − | 0.893841i | ||||
\(934\) | 2.89408e6 | + | 1.64131e7i | 0.108553 | + | 0.615636i | ||||
\(935\) | 1.20854e6 | + | 1.01408e6i | 0.0452097 | + | 0.0379354i | ||||
\(936\) | 2.86607e6 | − | 2.40492e6i | 0.106929 | − | 0.0897244i | ||||
\(937\) | 316830. | − | 1.79683e6i | 0.0117890 | − | 0.0668589i | −0.978346 | − | 0.206978i | \(-0.933637\pi\) |
0.990135 | + | 0.140119i | \(0.0447484\pi\) | |||||||
\(938\) | −1.73467e7 | + | 3.00454e7i | −0.643740 | + | 1.11499i | ||||
\(939\) | −3.16933e7 | − | 5.48944e7i | −1.17302 | − | 2.03172i | ||||
\(940\) | −2.11551e6 | + | 769984.i | −0.0780902 | + | 0.0284225i | ||||
\(941\) | −1.87840e7 | + | 6.83683e6i | −0.691537 | + | 0.251699i | −0.663793 | − | 0.747916i | \(-0.731054\pi\) |
−0.0277436 | + | 0.999615i | \(0.508832\pi\) | |||||||
\(942\) | −1.46897e7 | − | 2.54434e7i | −0.539370 | − | 0.934216i | ||||
\(943\) | 2.00897e6 | − | 3.47964e6i | 0.0735690 | − | 0.127425i | ||||
\(944\) | 90009.6 | − | 510470.i | 0.00328745 | − | 0.0186440i | ||||
\(945\) | 1.09791e8 | − | 9.21255e7i | 3.99933 | − | 3.35583i | ||||
\(946\) | −7.54681e6 | − | 6.33252e6i | −0.274180 | − | 0.230064i | ||||
\(947\) | −2.50765e6 | − | 1.42216e7i | −0.0908640 | − | 0.515315i | −0.995937 | − | 0.0900580i | \(-0.971295\pi\) |
0.905073 | − | 0.425257i | \(-0.139816\pi\) | |||||||
\(948\) | −6.21444e6 | − | 2.26187e6i | −0.224585 | − | 0.0817423i | ||||
\(949\) | 3.12257e6 | 0.112550 | ||||||||
\(950\) | −3.05624e7 | + | 3.10670e6i | −1.09870 | + | 0.111684i | ||||
\(951\) | 2.05703e7 | 0.737545 | ||||||||
\(952\) | −477659. | − | 173854.i | −0.0170815 | − | 0.00621715i | ||||
\(953\) | 4.96892e6 | + | 2.81801e7i | 0.177227 | + | 1.00510i | 0.935542 | + | 0.353215i | \(0.114912\pi\) |
−0.758315 | + | 0.651888i | \(0.773977\pi\) | |||||||
\(954\) | −7.55103e7 | − | 6.33607e7i | −2.68618 | − | 2.25397i | ||||
\(955\) | −1.05628e7 | + | 8.86322e6i | −0.374774 | + | 0.314473i | ||||
\(956\) | −386324. | + | 2.19095e6i | −0.0136712 | + | 0.0775332i | ||||
\(957\) | −2.44477e7 | + | 4.23446e7i | −0.862894 | + | 1.49458i | ||||
\(958\) | −1.01212e7 | − | 1.75304e7i | −0.356301 | − | 0.617131i | ||||
\(959\) | −1.73743e6 | + | 632373.i | −0.0610044 | + | 0.0222038i | ||||
\(960\) | 1.02112e7 | − | 3.71656e6i | 0.357599 | − | 0.130156i | ||||
\(961\) | −3.32321e6 | − | 5.75596e6i | −0.116078 | − | 0.201052i | ||||
\(962\) | 52757.2 | − | 91378.1i | 0.00183799 | − | 0.00318350i | ||||
\(963\) | 1.63997e7 | − | 9.30075e7i | 0.569864 | − | 3.23186i | ||||
\(964\) | −7.60104e6 | + | 6.37803e6i | −0.263439 | + | 0.221052i | ||||
\(965\) | 6.42745e7 | + | 5.39327e7i | 2.22188 | + | 1.86438i | ||||
\(966\) | 8.21476e6 | + | 4.65882e7i | 0.283238 | + | 1.60632i | ||||
\(967\) | 2.40128e7 | + | 8.73996e6i | 0.825805 | + | 0.300568i | 0.720136 | − | 0.693833i | \(-0.244079\pi\) |
0.105669 | + | 0.994401i | \(0.466302\pi\) | |||||||
\(968\) | −4.35138e6 | −0.149258 | ||||||||
\(969\) | 2.42785e6 | − | 1.17389e6i | 0.0830639 | − | 0.0401622i | ||||
\(970\) | 1.45864e7 | 0.497759 | ||||||||
\(971\) | 5.57543e6 | + | 2.02929e6i | 0.189771 | + | 0.0690711i | 0.435158 | − | 0.900354i | \(-0.356693\pi\) |
−0.245386 | + | 0.969425i | \(0.578915\pi\) | |||||||
\(972\) | −7.86869e6 | − | 4.46256e7i | −0.267139 | − | 1.51502i | ||||
\(973\) | 1.16473e7 | + | 9.77327e6i | 0.394407 | + | 0.330946i | ||||
\(974\) | −8.85995e6 | + | 7.43438e6i | −0.299250 | + | 0.251100i | ||||
\(975\) | −2.30925e6 | + | 1.30964e7i | −0.0777964 | + | 0.441205i | ||||
\(976\) | −2.78799e6 | + | 4.82895e6i | −0.0936844 | + | 0.162266i | ||||
\(977\) | −1.28785e7 | − | 2.23063e7i | −0.431648 | − | 0.747637i | 0.565367 | − | 0.824839i | \(-0.308735\pi\) |
−0.997015 | + | 0.0772024i | \(0.975401\pi\) | |||||||
\(978\) | 4.16942e7 | − | 1.51754e7i | 1.39389 | − | 0.507334i | ||||
\(979\) | −1.42765e7 | + | 5.19624e6i | −0.476065 | + | 0.173274i | ||||
\(980\) | −1.48542e6 | − | 2.57283e6i | −0.0494066 | − | 0.0855747i | ||||
\(981\) | 6.97067e6 | − | 1.20736e7i | 0.231261 | − | 0.400556i | ||||
\(982\) | 3.03795e6 | − | 1.72291e7i | 0.100531 | − | 0.570142i | ||||
\(983\) | 1.96767e7 | − | 1.65108e7i | 0.649486 | − | 0.544983i | −0.257429 | − | 0.966297i | \(-0.582875\pi\) |
0.906915 | + | 0.421314i | \(0.138431\pi\) | |||||||
\(984\) | 2.01216e6 | + | 1.68840e6i | 0.0662483 | + | 0.0555889i | ||||
\(985\) | 119231. | + | 676190.i | 0.00391559 | + | 0.0222064i | ||||
\(986\) | 1.17442e6 | + | 427455.i | 0.0384709 | + | 0.0140023i | ||||
\(987\) | 6.40723e6 | 0.209352 | ||||||||
\(988\) | 2.24300e6 | + | 567390.i | 0.0731033 | + | 0.0184922i | ||||
\(989\) | 2.34354e7 | 0.761873 | ||||||||
\(990\) | 6.52658e7 | + | 2.37548e7i | 2.11640 | + | 0.770306i | ||||
\(991\) | 1.81416e6 | + | 1.02886e7i | 0.0586803 | + | 0.332792i | 0.999989 | − | 0.00475534i | \(-0.00151368\pi\) |
−0.941308 | + | 0.337548i | \(0.890403\pi\) | |||||||
\(992\) | −4.65898e6 | − | 3.90935e6i | −0.150318 | − | 0.126132i | ||||
\(993\) | −3.28948e7 | + | 2.76020e7i | −1.05865 | + | 0.888315i | ||||
\(994\) | 2.40431e6 | − | 1.36355e7i | 0.0771834 | − | 0.437729i | ||||
\(995\) | −1.00595e7 | + | 1.74236e7i | −0.322121 | + | 0.557929i | ||||
\(996\) | 1.90284e7 | + | 3.29582e7i | 0.607792 | + | 1.05273i | ||||
\(997\) | −1.86719e7 | + | 6.79602e6i | −0.594909 | + | 0.216529i | −0.621887 | − | 0.783107i | \(-0.713634\pi\) |
0.0269780 | + | 0.999636i | \(0.491412\pi\) | |||||||
\(998\) | 3.32555e7 | − | 1.21040e7i | 1.05691 | − | 0.384683i | ||||
\(999\) | −1.67308e6 | − | 2.89786e6i | −0.0530399 | − | 0.0918678i |
(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 | 38.6.e.b.23.1 | yes | 30 | |
19.5 | even | 9 | inner | 38.6.e.b.5.1 | ✓ | 30 | |
19.9 | even | 9 | 722.6.a.r.1.1 | 15 | |||
19.10 | odd | 18 | 722.6.a.q.1.15 | 15 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.6.e.b.5.1 | ✓ | 30 | 19.5 | even | 9 | inner | |
38.6.e.b.23.1 | yes | 30 | 1.1 | even | 1 | trivial | |
722.6.a.q.1.15 | 15 | 19.10 | odd | 18 | |||
722.6.a.r.1.1 | 15 | 19.9 | even | 9 |