Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [392,6,Mod(177,392)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(392, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("392.177");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 392 = 2^{3} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 392.i (of order \(3\), degree \(2\), not 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: | \(62.8704573667\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{6})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{9}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 56) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 361.1 | ||
Root | \(0.500000 + 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 392.361 |
Dual form | 392.6.i.f.177.1 |
$q$-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 \(\left(\mathbb{Z}/392\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(297\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 15.0000 | − | 25.9808i | 0.962250 | − | 1.66667i | 0.245423 | − | 0.969416i | \(-0.421073\pi\) |
0.716827 | − | 0.697251i | \(-0.245594\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 16.0000 | + | 27.7128i | 0.286217 | + | 0.495742i | 0.972904 | − | 0.231212i | \(-0.0742689\pi\) |
−0.686687 | + | 0.726953i | \(0.740936\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −328.500 | − | 568.979i | −1.35185 | − | 2.34148i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 312.000 | − | 540.400i | 0.777451 | − | 1.34658i | −0.155956 | − | 0.987764i | \(-0.549846\pi\) |
0.933407 | − | 0.358820i | \(-0.116821\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 708.000 | 1.16192 | 0.580958 | − | 0.813933i | \(-0.302678\pi\) | ||||
0.580958 | + | 0.813933i | \(0.302678\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 960.000 | 1.10165 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 467.000 | − | 808.868i | 0.391917 | − | 0.678821i | −0.600785 | − | 0.799411i | \(-0.705145\pi\) |
0.992702 | + | 0.120590i | \(0.0384786\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 929.000 | + | 1609.08i | 0.590380 | + | 1.02257i | 0.994181 | + | 0.107721i | \(0.0343555\pi\) |
−0.403801 | + | 0.914847i | \(0.632311\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 560.000 | + | 969.948i | 0.220734 | + | 0.382322i | 0.955031 | − | 0.296506i | \(-0.0958215\pi\) |
−0.734297 | + | 0.678828i | \(0.762488\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1050.50 | − | 1819.52i | 0.336160 | − | 0.582246i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −12420.0 | −3.27878 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1174.00 | −0.259223 | −0.129611 | − | 0.991565i | \(-0.541373\pi\) | ||||
−0.129611 | + | 0.991565i | \(0.541373\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1454.00 | − | 2518.40i | 0.271744 | − | 0.470675i | −0.697564 | − | 0.716522i | \(-0.745733\pi\) |
0.969309 | + | 0.245847i | \(0.0790662\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −9360.00 | − | 16212.0i | −1.49620 | − | 2.59150i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 6231.00 | + | 10792.4i | 0.748262 | + | 1.29603i | 0.948655 | + | 0.316312i | \(0.102445\pi\) |
−0.200394 | + | 0.979715i | \(0.564222\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 10620.0 | − | 18394.4i | 1.11805 | − | 1.93653i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −2662.00 | −0.247314 | −0.123657 | − | 0.992325i | \(-0.539462\pi\) | ||||
−0.123657 | + | 0.992325i | \(0.539462\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −7144.00 | −0.589210 | −0.294605 | − | 0.955619i | \(-0.595188\pi\) | ||||
−0.294605 | + | 0.955619i | \(0.595188\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 10512.0 | − | 18207.3i | 0.773845 | − | 1.34034i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −3734.00 | − | 6467.48i | −0.246564 | − | 0.427061i | 0.716006 | − | 0.698094i | \(-0.245968\pi\) |
−0.962570 | + | 0.271033i | \(0.912635\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −14010.0 | − | 24266.0i | −0.754245 | − | 1.30639i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 13637.0 | − | 23620.0i | 0.666852 | − | 1.15502i | −0.311928 | − | 0.950106i | \(-0.600975\pi\) |
0.978780 | − | 0.204915i | \(-0.0656918\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 19968.0 | 0.890078 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 55740.0 | 2.27237 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 1245.00 | − | 2156.40i | 0.0465628 | − | 0.0806492i | −0.841805 | − | 0.539782i | \(-0.818507\pi\) |
0.888367 | + | 0.459133i | \(0.151840\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −5548.00 | − | 9609.42i | −0.190903 | − | 0.330653i | 0.754647 | − | 0.656131i | \(-0.227808\pi\) |
−0.945550 | + | 0.325478i | \(0.894475\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 11328.0 | + | 19620.7i | 0.332560 | + | 0.576011i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −19878.0 | + | 34429.7i | −0.540986 | + | 0.937014i | 0.457862 | + | 0.889023i | \(0.348615\pi\) |
−0.998848 | + | 0.0479913i | \(0.984718\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 33600.0 | 0.849604 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −69888.0 | −1.64534 | −0.822672 | − | 0.568516i | \(-0.807518\pi\) | ||||
−0.822672 | + | 0.568516i | \(0.807518\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 8225.00 | − | 14246.1i | 0.180646 | − | 0.312888i | −0.761455 | − | 0.648218i | \(-0.775514\pi\) |
0.942101 | + | 0.335330i | \(0.108848\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −31515.0 | − | 54585.6i | −0.646940 | − | 1.12053i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −39188.0 | − | 67875.6i | −0.706456 | − | 1.22362i | −0.966163 | − | 0.257931i | \(-0.916959\pi\) |
0.259707 | − | 0.965687i | \(-0.416374\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −106474. | + | 184419.i | −1.80316 | + | 3.12316i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −109818. | −1.74976 | −0.874880 | − | 0.484340i | \(-0.839060\pi\) | ||||
−0.874880 | + | 0.484340i | \(0.839060\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 29888.0 | 0.448693 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −17610.0 | + | 30501.4i | −0.249437 | + | 0.432038i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −28483.0 | − | 49334.0i | −0.381163 | − | 0.660194i | 0.610066 | − | 0.792351i | \(-0.291143\pi\) |
−0.991229 | + | 0.132157i | \(0.957810\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −43620.0 | − | 75552.1i | −0.522972 | − | 0.905814i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −29728.0 | + | 51490.4i | −0.337953 | + | 0.585352i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 115946. | 1.25120 | 0.625600 | − | 0.780144i | \(-0.284854\pi\) | ||||
0.625600 | + | 0.780144i | \(0.284854\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −409968. | −4.20399 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 4176.00 | − | 7233.04i | 0.0407340 | − | 0.0705534i | −0.844940 | − | 0.534862i | \(-0.820364\pi\) |
0.885674 | + | 0.464308i | \(0.153697\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 89742.0 | + | 155438.i | 0.833494 | + | 1.44365i | 0.895250 | + | 0.445563i | \(0.146997\pi\) |
−0.0617560 | + | 0.998091i | \(0.519670\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 26946.0 | + | 46671.8i | 0.227528 | + | 0.394090i | 0.957075 | − | 0.289841i | \(-0.0936023\pi\) |
−0.729547 | + | 0.683931i | \(0.760269\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −52985.0 | + | 91772.7i | −0.427156 | + | 0.739856i | −0.996619 | − | 0.0821608i | \(-0.973818\pi\) |
0.569463 | + | 0.822017i | \(0.307151\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 373860. | 2.88006 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 2502.00 | 0.0184328 | 0.00921640 | − | 0.999958i | \(-0.497066\pi\) | ||||
0.00921640 | + | 0.999958i | \(0.497066\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −17920.0 | + | 31038.4i | −0.126355 | + | 0.218854i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −232578. | − | 402837.i | −1.57074 | − | 2.72060i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −114162. | − | 197735.i | −0.708859 | − | 1.22778i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −39930.0 | + | 69160.8i | −0.237978 | + | 0.412190i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 167232. | 0.957292 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 287792. | 1.58332 | 0.791661 | − | 0.610960i | \(-0.209216\pi\) | ||||
0.791661 | + | 0.610960i | \(0.209216\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −107160. | + | 185607.i | −0.566968 | + | 0.982017i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −23831.0 | − | 41276.5i | −0.121329 | − | 0.210148i | 0.798963 | − | 0.601380i | \(-0.205382\pi\) |
−0.920292 | + | 0.391232i | \(0.872049\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −198720. | − | 344193.i | −0.938441 | − | 1.62543i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −111577. | + | 193257.i | −0.507894 | + | 0.879699i | 0.492064 | + | 0.870559i | \(0.336243\pi\) |
−0.999958 | + | 0.00913956i | \(0.997091\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −250542. | −1.09988 | −0.549938 | − | 0.835206i | \(-0.685349\pi\) | ||||
−0.549938 | + | 0.835206i | \(0.685349\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −224040. | −0.949025 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 220896. | − | 382603.i | 0.903333 | − | 1.56462i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −18784.0 | − | 32534.8i | −0.0741939 | − | 0.128508i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 243697. | + | 422096.i | 0.899258 | + | 1.55756i | 0.828444 | + | 0.560072i | \(0.189226\pi\) |
0.0708143 | + | 0.997490i | \(0.477440\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 27340.0 | − | 47354.3i | 0.0975790 | − | 0.169012i | −0.813103 | − | 0.582120i | \(-0.802223\pi\) |
0.910682 | + | 0.413108i | \(0.135557\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −613638. | −2.11926 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 93056.0 | 0.311111 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 105534. | − | 182790.i | 0.341699 | − | 0.591839i | −0.643050 | − | 0.765825i | \(-0.722331\pi\) |
0.984748 | + | 0.173985i | \(0.0556644\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −409110. | − | 708599.i | −1.28336 | − | 2.22284i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 10096.0 | + | 17486.8i | 0.0297632 | + | 0.0515515i | 0.880523 | − | 0.474003i | \(-0.157191\pi\) |
−0.850760 | + | 0.525554i | \(0.823858\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 299520. | − | 518784.i | 0.856478 | − | 1.48346i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 4524.00 | 0.0125525 | 0.00627627 | − | 0.999980i | \(-0.498002\pi\) | ||||
0.00627627 | + | 0.999980i | \(0.498002\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 129971. | 0.350050 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 610353. | − | 1.05716e6i | 1.59621 | − | 2.76472i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −52166.0 | − | 90354.2i | −0.132517 | − | 0.229527i | 0.792129 | − | 0.610354i | \(-0.208973\pi\) |
−0.924646 | + | 0.380827i | \(0.875639\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −37350.0 | − | 64692.1i | −0.0896102 | − | 0.155209i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 100862. | − | 174698.i | 0.235285 | − | 0.407526i | −0.724070 | − | 0.689726i | \(-0.757731\pi\) |
0.959356 | + | 0.282200i | \(0.0910642\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −655700. | −1.48768 | −0.743839 | − | 0.668359i | \(-0.766997\pi\) | ||||
−0.743839 | + | 0.668359i | \(0.766997\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −332880. | −0.734784 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −199392. | + | 345357.i | −0.428330 | + | 0.741889i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −291408. | − | 504733.i | −0.609393 | − | 1.05550i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 75748.0 | + | 131199.i | 0.150241 | + | 0.260225i | 0.931316 | − | 0.364212i | \(-0.118662\pi\) |
−0.781075 | + | 0.624437i | \(0.785328\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −114663. | + | 198602.i | −0.221580 | + | 0.383787i | −0.955288 | − | 0.295677i | \(-0.904455\pi\) |
0.733708 | + | 0.679465i | \(0.237788\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 679680. | 1.28002 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 421086. | 0.773046 | 0.386523 | − | 0.922280i | \(-0.373676\pi\) | ||||
0.386523 | + | 0.922280i | \(0.373676\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 98650.0 | − | 170867.i | 0.176589 | − | 0.305862i | −0.764121 | − | 0.645073i | \(-0.776827\pi\) |
0.940710 | + | 0.339211i | \(0.110160\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 596340. | + | 1.03289e6i | 1.04113 | + | 1.80329i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −42592.0 | − | 73771.5i | −0.0707853 | − | 0.122604i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 367920. | − | 637256.i | 0.596798 | − | 1.03368i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 1.15939e6 | 1.83597 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 679052. | 1.05002 | 0.525009 | − | 0.851097i | \(-0.324062\pi\) | ||||
0.525009 | + | 0.851097i | \(0.324062\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −1.04832e6 | + | 1.81574e6i | −1.58323 | + | 2.74224i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −114304. | − | 197980.i | −0.168642 | − | 0.292096i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −246750. | − | 427384.i | −0.347654 | − | 0.602154i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 330636. | − | 572678.i | 0.455375 | − | 0.788733i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 184440. | 0.248366 | 0.124183 | − | 0.992259i | \(-0.460369\pi\) | ||||
0.124183 | + | 0.992259i | \(0.460369\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −1.38036e6 | −1.81775 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −434039. | + | 751778.i | −0.559067 | + | 0.968333i | 0.438507 | + | 0.898728i | \(0.355507\pi\) |
−0.997575 | + | 0.0696054i | \(0.977826\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −296930. | − | 514298.i | −0.374167 | − | 0.648076i | 0.616035 | − | 0.787719i | \(-0.288738\pi\) |
−0.990202 | + | 0.139643i | \(0.955405\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −24109.0 | − | 41758.0i | −0.0290931 | − | 0.0503907i | 0.851112 | − | 0.524984i | \(-0.175929\pi\) |
−0.880205 | + | 0.474593i | \(0.842595\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 119488. | − | 206959.i | 0.141141 | − | 0.244464i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −2.35128e6 | −2.71915 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 241688. | 0.273691 | 0.136845 | − | 0.990592i | \(-0.456304\pi\) | ||||
0.136845 | + | 0.990592i | \(0.456304\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 282635. | − | 489538.i | 0.313461 | − | 0.542930i | −0.665648 | − | 0.746266i | \(-0.731845\pi\) |
0.979109 | + | 0.203335i | \(0.0651782\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 1.68520e6 | + | 2.91886e6i | 1.83078 | + | 3.17101i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 657732. | + | 1.13923e6i | 0.685972 | + | 1.18814i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −1.64727e6 | + | 2.85316e6i | −1.68371 | + | 2.91627i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 1.43775e6 | 1.44045 | 0.720224 | − | 0.693741i | \(-0.244039\pi\) | ||||
0.720224 | + | 0.693741i | \(0.244039\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 698880. | 0.686438 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 448320. | − | 776513.i | 0.431755 | − | 0.747822i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 247401. | + | 428511.i | 0.233652 | + | 0.404696i | 0.958880 | − | 0.283812i | \(-0.0915992\pi\) |
−0.725228 | + | 0.688508i | \(0.758266\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 385659. | + | 667981.i | 0.350431 | + | 0.606964i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −778272. | + | 1.34801e6i | −0.693812 | + | 1.20172i | 0.276767 | + | 0.960937i | \(0.410737\pi\) |
−0.970579 | + | 0.240781i | \(0.922596\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 872768. | 0.763456 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −1.70898e6 | −1.46710 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 681018. | − | 1.17956e6i | 0.573823 | − | 0.993890i | −0.422346 | − | 0.906435i | \(-0.638793\pi\) |
0.996168 | − | 0.0874555i | \(-0.0278736\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 279160. | + | 483519.i | 0.230903 | + | 0.399936i | 0.958074 | − | 0.286520i | \(-0.0924986\pi\) |
−0.727171 | + | 0.686456i | \(0.759165\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −655512. | − | 1.13538e6i | −0.522696 | − | 0.905335i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −293171. | + | 507787.i | −0.229573 | + | 0.397633i | −0.957682 | − | 0.287829i | \(-0.907066\pi\) |
0.728108 | + | 0.685462i | \(0.240400\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −1.91056e6 | −1.46943 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 606234. | 0.458010 | 0.229005 | − | 0.973425i | \(-0.426453\pi\) | ||||
0.229005 | + | 0.973425i | \(0.426453\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −432587. | + | 749263.i | −0.321076 | + | 0.556119i | −0.980710 | − | 0.195467i | \(-0.937378\pi\) |
0.659635 | + | 0.751586i | \(0.270711\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 891840. | + | 1.54471e6i | 0.650391 | + | 1.12651i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 273750. | + | 474150.i | 0.192801 | + | 0.333942i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 1.73919e6 | − | 3.01237e6i | 1.20397 | − | 2.08533i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 353352. | 0.240458 | 0.120229 | − | 0.992746i | \(-0.461637\pi\) | ||||
0.120229 | + | 0.992746i | \(0.461637\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 79680.0 | 0.0533082 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −3.87504e6 | + | 6.71177e6i | −2.54909 | + | 4.41515i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 396480. | + | 686724.i | 0.256474 | + | 0.444226i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −125280. | − | 216991.i | −0.0783926 | − | 0.135780i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 177536. | − | 307501.i | 0.109279 | − | 0.189277i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 1.95904e6 | 1.18631 | 0.593153 | − | 0.805090i | \(-0.297883\pi\) | ||||
0.593153 | + | 0.805090i | \(0.297883\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 5.38452e6 | 3.20812 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 1.53128e6 | − | 2.65226e6i | 0.897749 | − | 1.55495i | 0.0673832 | − | 0.997727i | \(-0.478535\pi\) |
0.830365 | − | 0.557219i | \(-0.188132\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −291317. | − | 504576.i | −0.168076 | − | 0.291116i | 0.769668 | − | 0.638445i | \(-0.220422\pi\) |
−0.937743 | + | 0.347329i | \(0.887089\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 1.54793e6 | + | 2.68108e6i | 0.865171 | + | 1.49852i | 0.866878 | + | 0.498521i | \(0.166123\pi\) |
−0.00170706 | + | 0.999999i | \(0.500543\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −366288. | + | 634429.i | −0.201533 | + | 0.349065i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 1.61676e6 | 0.875756 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 1.73537e6 | 0.925521 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 743754. | − | 1.28822e6i | 0.390590 | − | 0.676521i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 1.58955e6 | + | 2.75318e6i | 0.822062 | + | 1.42385i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −312748. | − | 541695.i | −0.156901 | − | 0.271760i | 0.776849 | − | 0.629687i | \(-0.216817\pi\) |
−0.933749 | + | 0.357927i | \(0.883484\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 4.09377e6 | − | 7.09061e6i | 2.02308 | − | 3.50407i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −1.27219e6 | −0.619356 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 2.32494e6 | 1.11516 | 0.557580 | − | 0.830123i | \(-0.311730\pi\) | ||||
0.557580 | + | 0.830123i | \(0.311730\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 37530.0 | − | 65003.9i | 0.0177370 | − | 0.0307213i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −907296. | − | 1.57148e6i | −0.422535 | − | 0.731853i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 537600. | + | 931151.i | 0.243171 | + | 0.421184i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 390564. | − | 676477.i | 0.174128 | − | 0.301598i | −0.765731 | − | 0.643161i | \(-0.777623\pi\) |
0.939859 | + | 0.341562i | \(0.110956\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −1.48586e6 | −0.653002 | −0.326501 | − | 0.945197i | \(-0.605870\pi\) | ||||
−0.326501 | + | 0.945197i | \(0.605870\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −8.79336e6 | −3.80967 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 722313. | − | 1.25108e6i | 0.308524 | − | 0.534379i | −0.669516 | − | 0.742798i | \(-0.733498\pi\) |
0.978040 | + | 0.208419i | \(0.0668317\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −1.11821e6 | − | 1.93679e6i | −0.470925 | − | 0.815666i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −202020. | − | 349909.i | −0.0827291 | − | 0.143291i | 0.821692 | − | 0.569932i | \(-0.193030\pi\) |
−0.904421 | + | 0.426641i | \(0.859697\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −488032. | + | 845297.i | −0.197097 | + | 0.341383i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −6.84975e6 | −2.72840 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 526400. | 0.206816 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −1.35849e6 | + | 2.35298e6i | −0.526492 | + | 0.911911i | 0.473031 | + | 0.881046i | \(0.343160\pi\) |
−0.999524 | + | 0.0308656i | \(0.990174\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 874467. | + | 1.51462e6i | 0.334332 | + | 0.579079i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 896993. | + | 1.55364e6i | 0.333824 | + | 0.578199i | 0.983258 | − | 0.182218i | \(-0.0583277\pi\) |
−0.649435 | + | 0.760417i | \(0.724994\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 2.50848e6 | − | 4.34481e6i | 0.921154 | − | 1.59549i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −831192. | −0.301195 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −18624.0 | −0.00666001 | −0.00333001 | − | 0.999994i | \(-0.501060\pi\) | ||||
−0.00333001 | + | 0.999994i | \(0.501060\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 4.31688e6 | − | 7.47706e6i | 1.52355 | − | 2.63887i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −665022. | − | 1.15185e6i | −0.231654 | − | 0.401236i | 0.726641 | − | 0.687017i | \(-0.241080\pi\) |
−0.958295 | + | 0.285781i | \(0.907747\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 2.34680e6 | + | 4.06478e6i | 0.796525 | + | 1.37962i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −1.13253e6 | + | 1.96160e6i | −0.379468 | + | 0.657258i | −0.990985 | − | 0.133973i | \(-0.957226\pi\) |
0.611517 | + | 0.791231i | \(0.290560\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.04608e6 | 0.346037 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −1.42986e6 | −0.466995 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 1.25402e6 | − | 2.17202e6i | 0.404399 | − | 0.700440i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −2.24450e6 | − | 3.88759e6i | −0.714733 | − | 1.23795i | −0.963062 | − | 0.269278i | \(-0.913215\pi\) |
0.248330 | − | 0.968676i | \(-0.420118\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 47721.0 | + | 82655.2i | 0.0148200 | + | 0.0256690i | 0.873340 | − | 0.487111i | \(-0.161949\pi\) |
−0.858520 | + | 0.512780i | \(0.828616\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.02943e6 | − | 1.78303e6i | 0.315744 | − | 0.546885i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −6.81437e6 | −2.06437 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 7.77629e6 | 2.32695 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −1.49502e6 | + | 2.58945e6i | −0.441914 | + | 0.765418i | −0.997832 | − | 0.0658198i | \(-0.979034\pi\) |
0.555917 | + | 0.831238i | \(0.312367\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 3.34731e6 | + | 5.79771e6i | 0.977443 | + | 1.69298i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −1.75709e6 | − | 3.04337e6i | −0.500810 | − | 0.867429i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −3.75813e6 | + | 6.50927e6i | −1.05836 | + | 1.83313i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −3.39037e6 | −0.943436 | −0.471718 | − | 0.881749i | \(-0.656366\pi\) | ||||
−0.471718 | + | 0.881749i | \(0.656366\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3.38397e6 | 0.930512 | 0.465256 | − | 0.885176i | \(-0.345962\pi\) | ||||
0.465256 | + | 0.885176i | \(0.345962\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −2.45324e6 | + | 4.24913e6i | −0.666636 | + | 1.15465i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −981167. | − | 1.69943e6i | −0.263494 | − | 0.456385i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −6.62688e6 | − | 1.14781e7i | −1.73846 | − | 3.01111i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 991764. | − | 1.71779e6i | 0.257167 | − | 0.445426i | −0.708315 | − | 0.705897i | \(-0.750544\pi\) |
0.965482 | + | 0.260470i | \(0.0838776\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 7.17581e6 | 1.83929 | 0.919647 | − | 0.392746i | \(-0.128475\pi\) | ||||
0.919647 | + | 0.392746i | \(0.128475\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −1.12704e6 | −0.285572 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −1.04048e6 | + | 1.80216e6i | −0.260633 | + | 0.451430i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −1.22195e6 | − | 2.11648e6i | −0.302616 | − | 0.524146i | 0.674112 | − | 0.738629i | \(-0.264527\pi\) |
−0.976728 | + | 0.214483i | \(0.931193\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −115858. | − | 200672.i | −0.0280490 | − | 0.0485822i | 0.851660 | − | 0.524094i | \(-0.175596\pi\) |
−0.879709 | + | 0.475512i | \(0.842263\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 911456. | − | 1.57869e6i | 0.218190 | − | 0.377917i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 1.46218e7 | 3.46125 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −4.73637e6 | −1.10874 | −0.554370 | − | 0.832271i | \(-0.687041\pi\) | ||||
−0.554370 | + | 0.832271i | \(0.687041\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −830544. | + | 1.43854e6i | −0.192274 | + | 0.333029i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −820200. | − | 1.42063e6i | −0.187791 | − | 0.325263i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 3.93743e6 | + | 6.81983e6i | 0.881906 | + | 1.52751i | 0.849219 | + | 0.528040i | \(0.177073\pi\) |
0.0326865 | + | 0.999466i | \(0.489594\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −5.80014e6 | + | 1.00461e7i | −1.28501 | + | 2.22570i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 8.23218e6 | 1.80411 | 0.902054 | − | 0.431623i | \(-0.142059\pi\) | ||||
0.902054 | + | 0.431623i | \(0.142059\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 2.36038e6 | 0.511717 | 0.255859 | − | 0.966714i | \(-0.417642\pi\) | ||||
0.255859 | + | 0.966714i | \(0.417642\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 1.39584e6 | − | 2.41767e6i | 0.299367 | − | 0.518518i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −3.15850e6 | − | 5.47068e6i | −0.670175 | − | 1.16078i | −0.977854 | − | 0.209288i | \(-0.932885\pi\) |
0.307679 | − | 0.951490i | \(-0.400448\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −3.16602e6 | − | 5.48371e6i | −0.657599 | − | 1.13900i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −2.22893e6 | + | 3.86062e6i | −0.458082 | + | 0.793421i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 3.90366e6 | 0.793849 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −1.79190e7 | −3.60594 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 729278. | − | 1.26315e6i | 0.145229 | − | 0.251545i | −0.784229 | − | 0.620471i | \(-0.786941\pi\) |
0.929458 | + | 0.368927i | \(0.120275\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 4.41155e6 | + | 7.64103e6i | 0.869417 | + | 1.50588i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 1.85514e6 | + | 3.21319e6i | 0.358114 | + | 0.620272i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −4.64391e6 | + | 8.04349e6i | −0.887282 | + | 1.53682i | −0.0442060 | + | 0.999022i | \(0.514076\pi\) |
−0.843076 | + | 0.537795i | \(0.819258\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 605760. | 0.114559 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −234972. | −0.0439858 | −0.0219929 | − | 0.999758i | \(-0.507001\pi\) | ||||
−0.0219929 | + | 0.999758i | \(0.507001\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −548258. | + | 949611.i | −0.101594 | + | 0.175966i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −6.55949e6 | − | 1.13614e7i | −1.20325 | − | 2.08410i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 3.50396e6 | + | 6.06904e6i | 0.629953 | + | 1.09111i | 0.987561 | + | 0.157238i | \(0.0502591\pi\) |
−0.357608 | + | 0.933872i | \(0.616408\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 67860.0 | − | 117537.i | 0.0120787 | − | 0.0209209i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −4.94752e6 | −0.871902 | −0.435951 | − | 0.899970i | \(-0.643588\pi\) | ||||
−0.435951 | + | 0.899970i | \(0.643588\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 267264. | 0.0466350 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 1.94956e6 | − | 3.37675e6i | 0.336835 | − | 0.583416i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 2.75320e6 | + | 4.76869e6i | 0.471025 | + | 0.815839i | 0.999451 | − | 0.0331407i | \(-0.0105510\pi\) |
−0.528426 | + | 0.848979i | \(0.677218\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −1.15382e7 | − | 1.99847e7i | −1.93573 | − | 3.35278i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −2.87174e6 | + | 4.97401e6i | −0.477120 | + | 0.826396i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −4.66003e6 | −0.766765 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −3.12996e6 | −0.510059 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 815379. | − | 1.41228e6i | 0.131603 | − | 0.227943i | −0.792692 | − | 0.609623i | \(-0.791321\pi\) |
0.924295 | + | 0.381680i | \(0.124654\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −5.03827e6 | − | 8.72654e6i | −0.805429 | − | 1.39504i | −0.916001 | − | 0.401176i | \(-0.868602\pi\) |
0.110572 | − | 0.993868i | \(-0.464732\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −1.35804e6 | − | 2.35219e6i | −0.213003 | − | 0.368931i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 2.59097e6 | − | 4.48769e6i | 0.402553 | − | 0.697243i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −1.63593e6 | −0.251784 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −1.88470e6 | −0.287358 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −862272. | + | 1.49350e6i | −0.130245 | + | 0.225590i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −3.02586e6 | − | 5.24094e6i | −0.452807 | − | 0.784285i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 6.26125e6 | + | 1.08448e7i | 0.919746 | + | 1.59305i | 0.799800 | + | 0.600267i | \(0.204939\pi\) |
0.119947 | + | 0.992780i | \(0.461728\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −9.83550e6 | + | 1.70356e7i | −1.43152 | + | 2.47946i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −3.39104e6 | −0.489037 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 6.67430e6 | 0.953756 | 0.476878 | − | 0.878970i | \(-0.341768\pi\) | ||||
0.476878 | + | 0.878970i | \(0.341768\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −3.64504e6 | + | 6.31339e6i | −0.516144 | + | 0.893988i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −1.09065e6 | − | 1.88905e6i | −0.153040 | − | 0.265073i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 5.98176e6 | + | 1.03607e7i | 0.824321 | + | 1.42777i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 2.30821e6 | − | 3.99794e6i | 0.315238 | − | 0.546007i | −0.664250 | − | 0.747510i | \(-0.731249\pi\) |
0.979488 | + | 0.201503i | \(0.0645825\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −5.05795e6 | −0.684613 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −1.74845e7 | −2.34555 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −4.42109e6 | + | 7.65755e6i | −0.587839 | + | 1.01817i | 0.406676 | + | 0.913572i | \(0.366688\pi\) |
−0.994515 | + | 0.104594i | \(0.966646\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 40032.0 | + | 69337.5i | 0.00527577 | + | 0.00913791i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −5.78856e6 | − | 1.00261e7i | −0.749532 | − | 1.29823i | −0.948047 | − | 0.318129i | \(-0.896945\pi\) |
0.198515 | − | 0.980098i | \(-0.436388\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −2.24034e6 | + | 3.88039e6i | −0.287557 | + | 0.498064i | −0.973226 | − | 0.229850i | \(-0.926177\pi\) |
0.685669 | + | 0.727914i | \(0.259510\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 4.54488e6 | 0.578277 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 2.35312e6 | 0.296807 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 6.63939e6 | − | 1.14998e7i | 0.830212 | − | 1.43797i | −0.0676585 | − | 0.997709i | \(-0.521553\pi\) |
0.897870 | − | 0.440260i | \(-0.145114\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 3.43989e6 | + | 5.95806e6i | 0.426430 | + | 0.738599i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −8.50949e6 | − | 1.47389e7i | −1.03689 | − | 1.79594i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 7.44250e6 | − | 1.28908e7i | 0.899143 | − | 1.55736i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 1.11188e7 | 1.33187 | 0.665936 | − | 0.746009i | \(-0.268032\pi\) | ||||
0.665936 | + | 0.746009i | \(0.268032\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 5.40306e6 | 0.641729 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 6.31629e6 | − | 1.09401e7i | 0.743864 | − | 1.28841i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −1.96368e6 | − | 3.40120e6i | −0.229316 | − | 0.397187i | 0.728289 | − | 0.685270i | \(-0.240316\pi\) |
−0.957606 | + | 0.288082i | \(0.906982\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −2.95950e6 | − | 5.12600e6i | −0.339846 | − | 0.588631i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 8.70497e6 | − | 1.50775e7i | 0.991289 | − | 1.71696i | 0.381585 | − | 0.924334i | \(-0.375378\pi\) |
0.609704 | − | 0.792630i | \(-0.291288\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −7.46243e6 | −0.842740 | −0.421370 | − | 0.906889i | \(-0.638451\pi\) | ||||
−0.421370 | + | 0.906889i | \(0.638451\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 2.61197e7 | 2.92533 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 3.65320e6 | − | 6.32753e6i | 0.405775 | − | 0.702822i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 350576. | + | 607215.i | 0.0386198 | + | 0.0668915i | 0.884689 | − | 0.466181i | \(-0.154371\pi\) |
−0.846069 | + | 0.533073i | \(0.821037\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −2.64367e6 | − | 4.57897e6i | −0.286487 | − | 0.496210i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −5.47876e6 | + | 9.48949e6i | −0.588886 | + | 1.01998i | 0.405493 | + | 0.914098i | \(0.367100\pi\) |
−0.994379 | + | 0.105882i | \(0.966233\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −2.55552e6 | −0.272453 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 1.90666e6 | 0.201633 | 0.100816 | − | 0.994905i | \(-0.467855\pi\) | ||||
0.100816 | + | 0.994905i | \(0.467855\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −1.11173e6 | + | 1.92557e6i | −0.116620 | + | 0.201992i | −0.918426 | − | 0.395592i | \(-0.870539\pi\) |
0.801806 | + | 0.597584i | \(0.203873\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −6.95520e6 | − | 1.20468e7i | −0.723737 | − | 1.25355i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −607100. | − | 1.05153e6i | −0.0621671 | − | 0.107677i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 1.73909e7 | − | 3.01219e7i | 1.76666 | − | 3.05994i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 1.16395e7 | 1.17303 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 752624. | 0.0752497 | 0.0376248 | − | 0.999292i | \(-0.488021\pi\) | ||||
0.0376248 | + | 0.999292i | \(0.488021\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 1.01858e7 | − | 1.76423e7i | 1.01038 | − | 1.75003i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 4.60467e6 | + | 7.97553e6i | 0.453173 | + | 0.784919i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 2.29582e7 | + | 3.97648e7i | 2.22426 | + | 3.85253i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 1.22714e6 | − | 2.12548e6i | 0.117964 | − | 0.204320i | −0.800996 | − | 0.598669i | \(-0.795696\pi\) |
0.918961 | + | 0.394349i | \(0.129030\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −1.58237e7 | −1.50932 | −0.754660 | − | 0.656116i | \(-0.772198\pi\) | ||||
−0.754660 | + | 0.656116i | \(0.772198\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −6.85824e6 | −0.649103 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −1.32745e6 | + | 2.29920e6i | −0.124668 | + | 0.215932i | −0.921603 | − | 0.388133i | \(-0.873120\pi\) |
0.796935 | + | 0.604065i | \(0.206453\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −776880. | − | 1.34560e6i | −0.0724006 | − | 0.125402i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −4.63450e6 | − | 8.02718e6i | −0.425324 | − | 0.736682i | 0.571127 | − | 0.820862i | \(-0.306506\pi\) |
−0.996451 | + | 0.0841794i | \(0.973173\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 762592. | − | 1.32085e6i | 0.0694527 | − | 0.120296i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −1.08076e7 | −0.976827 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −1.68242e7 | −1.50911 | −0.754556 | − | 0.656235i | \(-0.772148\pi\) | ||||
−0.754556 | + | 0.656235i | \(0.772148\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −3.38608e6 | + | 5.86487e6i | −0.301435 | + | 0.522101i | −0.976461 | − | 0.215693i | \(-0.930799\pi\) |
0.675026 | + | 0.737794i | \(0.264132\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −9.91908e6 | − | 1.71804e7i | −0.876370 | − | 1.51792i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −657440. | − | 1.13872e6i | −0.0572192 | − | 0.0991065i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 2.76660e6 | − | 4.79189e6i | 0.238991 | − | 0.413944i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −6.92390e6 | −0.593669 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 7.61315e6 | 0.647928 | 0.323964 | − | 0.946069i | \(-0.394984\pi\) | ||||
0.323964 | + | 0.946069i | \(0.394984\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −1.30472e7 | + | 2.25984e7i | −1.10219 | + | 1.90906i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 3.05836e6 | + | 5.29724e6i | 0.256459 | + | 0.444199i | 0.965291 | − | 0.261178i | \(-0.0841109\pi\) |
−0.708832 | + | 0.705377i | \(0.750778\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 1.30212e7 | + | 2.25533e7i | 1.07593 | + | 1.86356i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 5.62942e6 | − | 9.75044e6i | 0.461755 | − | 0.799784i | −0.537293 | − | 0.843396i | \(-0.680553\pi\) |
0.999049 | + | 0.0436117i | \(0.0138864\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −7.14093e6 | −0.581471 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −1.78158e7 | −1.44017 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 9.65500e6 | − | 1.67229e7i | 0.774826 | − | 1.34204i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 4.75476e6 | + | 8.23549e6i | 0.378821 | + | 0.656137i | 0.990891 | − | 0.134667i | \(-0.0429964\pi\) |
−0.612070 | + | 0.790803i | \(0.709663\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −4.00867e6 | − | 6.94322e6i | −0.314803 | − | 0.545254i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1.24315e6 | + | 2.15321e6i | −0.0969266 | + | 0.167882i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −1.44654e6 | −0.111979 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 1.53868e7 | 1.18264 | 0.591322 | − | 0.806436i | \(-0.298606\pi\) | ||||
0.591322 | + | 0.806436i | \(0.298606\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −1.15772e7 | + | 2.00523e7i | −0.883517 | + | 1.53030i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −3.58464e6 | − | 6.20878e6i | −0.271627 | − | 0.470472i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 606895. | + | 1.05117e6i | 0.0453417 | + | 0.0785342i | 0.887806 | − | 0.460219i | \(-0.152229\pi\) |
−0.842464 | + | 0.538753i | \(0.818896\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −2.57465e7 | + | 4.45943e7i | −1.91005 | + | 3.30830i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 3.25696e6 | 0.239932 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1.41373e7 | 1.03420 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 3.62532e6 | − | 6.27924e6i | 0.263359 | − | 0.456151i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −5.00011e6 | − | 8.66044e6i | −0.360709 | − | 0.624766i | 0.627369 | − | 0.778722i | \(-0.284132\pi\) |
−0.988078 | + | 0.153956i | \(0.950799\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −8.47905e6 | − | 1.46861e7i | −0.603256 | − | 1.04487i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −1.23329e6 | + | 2.13612e6i | −0.0871403 | + | 0.150931i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −1.33745e7 | −0.938514 | −0.469257 | − | 0.883062i | \(-0.655478\pi\) | ||||
−0.469257 | + | 0.883062i | \(0.655478\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 4.93657e7 | 3.44038 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −3.33625e6 | + | 5.77855e6i | −0.230922 | + | 0.399968i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 8.06899e6 | + | 1.39759e7i | 0.554701 | + | 0.960771i | 0.997927 | + | 0.0643606i | \(0.0205008\pi\) |
−0.443225 | + | 0.896410i | \(0.646166\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 1.24039e7 | + | 2.14841e7i | 0.841179 | + | 1.45697i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −4.30530e6 | + | 7.45699e6i | −0.289996 | + | 0.502288i | −0.973808 | − | 0.227370i | \(-0.926987\pi\) |
0.683812 | + | 0.729658i | \(0.260321\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 3.94639e7 | 2.64031 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −2.85027e7 | −1.89415 | −0.947075 | − | 0.321012i | \(-0.895977\pi\) | ||||
−0.947075 | + | 0.321012i | \(0.895977\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −7.79830e6 | + | 1.35071e7i | −0.514766 | + | 0.891600i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 3.60752e7 | + | 6.24841e7i | 2.36542 | + | 4.09702i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 3.64360e6 | + | 6.31091e6i | 0.235739 | + | 0.408312i | 0.959487 | − | 0.281752i | \(-0.0909156\pi\) |
−0.723748 | + | 0.690064i | \(0.757582\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 2.15662e7 | − | 3.73537e7i | 1.38607 | − | 2.40075i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 1.74976e6 | 0.111715 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −2.77165e7 | −1.75792 | −0.878958 | − | 0.476899i | \(-0.841761\pi\) | ||||
−0.878958 | + | 0.476899i | \(0.841761\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 1.04832e7 | − | 1.81574e7i | 0.660525 | − | 1.14406i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 1.53813e7 | + | 2.66411e7i | 0.962787 | + | 1.66760i | 0.715447 | + | 0.698667i | \(0.246223\pi\) |
0.247340 | + | 0.968929i | \(0.420444\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −9.81821e6 | − | 1.70056e7i | −0.606567 | − | 1.05060i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 881460. | − | 1.52673e6i | 0.0541021 | − | 0.0937076i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 1.83665e7 | 1.11998 | 0.559990 | − | 0.828499i | \(-0.310805\pi\) | ||||
0.559990 | + | 0.828499i | \(0.310805\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 1.48441e7 | 0.899325 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −5.06986e6 | + | 8.78126e6i | −0.305174 | + | 0.528577i | −0.977300 | − | 0.211860i | \(-0.932048\pi\) |
0.672126 | + | 0.740437i | \(0.265381\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −3.05485e6 | − | 5.29116e6i | −0.182699 | − | 0.316444i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −2.47300e6 | − | 4.28336e6i | −0.146009 | − | 0.252895i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −2.18051e7 | + | 3.77675e7i | −1.27917 | + | 2.21559i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 1.45811e7 | 0.849934 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) |