Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [33,6,Mod(4,33)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(33, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([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("33.4");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 33 = 3 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 33.e (of order \(5\), degree \(4\), 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: | \(5.29266605383\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - x^{19} + 78 x^{18} + 79 x^{17} + 10573 x^{16} - 33409 x^{15} + 1262953 x^{14} + \cdots + 25599187870096 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{4}\cdot 11^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 31.2 | ||
Root | \(-1.64776 - 5.07128i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 33.31 |
Dual form | 33.6.e.b.16.2 |
$q$-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 \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{3}{5}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.95678 | + | 6.02234i | −0.345913 | + | 1.06461i | 0.615181 | + | 0.788386i | \(0.289083\pi\) |
−0.961093 | + | 0.276223i | \(0.910917\pi\) | |||||||
\(3\) | 7.28115 | − | 5.29007i | 0.467086 | − | 0.339358i | ||||
\(4\) | −6.55106 | − | 4.75963i | −0.204721 | − | 0.148738i | ||||
\(5\) | 8.65323 | + | 26.6319i | 0.154794 | + | 0.476406i | 0.998140 | − | 0.0609647i | \(-0.0194177\pi\) |
−0.843346 | + | 0.537370i | \(0.819418\pi\) | |||||||
\(6\) | 17.6110 | + | 54.2011i | 0.199713 | + | 0.614653i | ||||
\(7\) | 121.539 | + | 88.3034i | 0.937500 | + | 0.681133i | 0.947817 | − | 0.318813i | \(-0.103284\pi\) |
−0.0103179 | + | 0.999947i | \(0.503284\pi\) | |||||||
\(8\) | −122.450 | + | 88.9651i | −0.676447 | + | 0.491468i | ||||
\(9\) | 25.0304 | − | 77.0356i | 0.103006 | − | 0.317019i | ||||
\(10\) | −177.319 | −0.560731 | ||||||||
\(11\) | −364.758 | + | 167.341i | −0.908914 | + | 0.416985i | ||||
\(12\) | −72.8780 | −0.146098 | ||||||||
\(13\) | −95.6452 | + | 294.366i | −0.156966 | + | 0.483091i | −0.998355 | − | 0.0573392i | \(-0.981738\pi\) |
0.841389 | + | 0.540430i | \(0.181738\pi\) | |||||||
\(14\) | −769.618 | + | 559.160i | −1.04943 | + | 0.762458i | ||||
\(15\) | 203.890 | + | 148.135i | 0.233974 | + | 0.169992i | ||||
\(16\) | −376.244 | − | 1157.96i | −0.367426 | − | 1.13082i | ||||
\(17\) | 279.891 | + | 861.416i | 0.234891 | + | 0.722921i | 0.997136 | + | 0.0756318i | \(0.0240974\pi\) |
−0.762245 | + | 0.647289i | \(0.775903\pi\) | |||||||
\(18\) | 414.956 | + | 301.483i | 0.301870 | + | 0.219322i | ||||
\(19\) | 1375.30 | − | 999.212i | 0.874003 | − | 0.635000i | −0.0576553 | − | 0.998337i | \(-0.518362\pi\) |
0.931658 | + | 0.363336i | \(0.118362\pi\) | |||||||
\(20\) | 70.0700 | − | 215.653i | 0.0391703 | − | 0.120554i | ||||
\(21\) | 1352.08 | 0.669041 | ||||||||
\(22\) | −294.034 | − | 2524.14i | −0.129521 | − | 1.11188i | ||||
\(23\) | 2873.63 | 1.13269 | 0.566344 | − | 0.824169i | \(-0.308357\pi\) | ||||
0.566344 | + | 0.824169i | \(0.308357\pi\) | |||||||
\(24\) | −420.946 | + | 1295.54i | −0.149176 | + | 0.459115i | ||||
\(25\) | 1893.80 | − | 1375.93i | 0.606016 | − | 0.440296i | ||||
\(26\) | −1585.61 | − | 1152.02i | −0.460006 | − | 0.334214i | ||||
\(27\) | −225.273 | − | 693.320i | −0.0594703 | − | 0.183031i | ||||
\(28\) | −375.920 | − | 1156.96i | −0.0906150 | − | 0.278884i | ||||
\(29\) | −2018.20 | − | 1466.31i | −0.445625 | − | 0.323765i | 0.342241 | − | 0.939612i | \(-0.388814\pi\) |
−0.787866 | + | 0.615847i | \(0.788814\pi\) | |||||||
\(30\) | −1291.08 | + | 938.028i | −0.261910 | + | 0.190289i | ||||
\(31\) | 372.821 | − | 1147.42i | 0.0696780 | − | 0.214447i | −0.910154 | − | 0.414270i | \(-0.864037\pi\) |
0.979832 | + | 0.199823i | \(0.0640368\pi\) | |||||||
\(32\) | 2866.45 | 0.494845 | ||||||||
\(33\) | −1770.61 | + | 3148.03i | −0.283034 | + | 0.503215i | ||||
\(34\) | −5735.43 | −0.850880 | ||||||||
\(35\) | −1299.98 | + | 4000.93i | −0.179377 | + | 0.552065i | ||||
\(36\) | −530.636 | + | 385.530i | −0.0682403 | + | 0.0495794i | ||||
\(37\) | −9827.30 | − | 7139.95i | −1.18013 | − | 0.857415i | −0.187944 | − | 0.982180i | \(-0.560182\pi\) |
−0.992186 | + | 0.124765i | \(0.960182\pi\) | |||||||
\(38\) | 3326.45 | + | 10237.7i | 0.373699 | + | 1.15013i | ||||
\(39\) | 860.806 | + | 2649.29i | 0.0906242 | + | 0.278912i | ||||
\(40\) | −3428.90 | − | 2491.24i | −0.338848 | − | 0.246187i | ||||
\(41\) | 13374.1 | − | 9716.82i | 1.24252 | − | 0.902744i | 0.244757 | − | 0.969584i | \(-0.421292\pi\) |
0.997764 | + | 0.0668402i | \(0.0212918\pi\) | |||||||
\(42\) | −2645.71 | + | 8142.66i | −0.231430 | + | 0.712267i | ||||
\(43\) | 13910.0 | 1.14724 | 0.573621 | − | 0.819121i | \(-0.305538\pi\) | ||||
0.573621 | + | 0.819121i | \(0.305538\pi\) | |||||||
\(44\) | 3186.03 | + | 639.850i | 0.248095 | + | 0.0498249i | ||||
\(45\) | 2268.20 | 0.166974 | ||||||||
\(46\) | −5623.05 | + | 17306.0i | −0.391811 | + | 1.20587i | ||||
\(47\) | −12079.5 | + | 8776.30i | −0.797638 | + | 0.579518i | −0.910220 | − | 0.414124i | \(-0.864088\pi\) |
0.112582 | + | 0.993642i | \(0.464088\pi\) | |||||||
\(48\) | −8865.18 | − | 6440.93i | −0.555373 | − | 0.403502i | ||||
\(49\) | 1780.63 | + | 5480.22i | 0.105946 | + | 0.326068i | ||||
\(50\) | 4580.55 | + | 14097.5i | 0.259115 | + | 0.797474i | ||||
\(51\) | 6594.88 | + | 4791.46i | 0.355043 | + | 0.257954i | ||||
\(52\) | 2027.65 | − | 1473.17i | 0.103988 | − | 0.0755519i | ||||
\(53\) | 5156.42 | − | 15869.8i | 0.252150 | − | 0.776038i | −0.742228 | − | 0.670148i | \(-0.766231\pi\) |
0.994378 | − | 0.105890i | \(-0.0337692\pi\) | |||||||
\(54\) | 4616.22 | 0.215428 | ||||||||
\(55\) | −7612.93 | − | 8266.14i | −0.339348 | − | 0.368465i | ||||
\(56\) | −22738.4 | −0.968924 | ||||||||
\(57\) | 4727.85 | − | 14550.8i | 0.192742 | − | 0.593200i | ||||
\(58\) | 12779.8 | − | 9285.05i | 0.498831 | − | 0.362422i | ||||
\(59\) | −30229.6 | − | 21963.1i | −1.13058 | − | 0.821418i | −0.144805 | − | 0.989460i | \(-0.546255\pi\) |
−0.985780 | + | 0.168043i | \(0.946255\pi\) | |||||||
\(60\) | −630.630 | − | 1940.88i | −0.0226150 | − | 0.0696018i | ||||
\(61\) | 6319.71 | + | 19450.1i | 0.217456 | + | 0.669262i | 0.998970 | + | 0.0453740i | \(0.0144480\pi\) |
−0.781514 | + | 0.623888i | \(0.785552\pi\) | |||||||
\(62\) | 6180.65 | + | 4490.50i | 0.204200 | + | 0.148360i | ||||
\(63\) | 9844.67 | − | 7152.57i | 0.312500 | − | 0.227044i | ||||
\(64\) | 6430.81 | − | 19792.0i | 0.196253 | − | 0.604004i | ||||
\(65\) | −8667.15 | −0.254444 | ||||||||
\(66\) | −15493.8 | − | 16823.2i | −0.437822 | − | 0.475389i | ||||
\(67\) | 10129.9 | 0.275689 | 0.137845 | − | 0.990454i | \(-0.455983\pi\) | ||||
0.137845 | + | 0.990454i | \(0.455983\pi\) | |||||||
\(68\) | 2266.44 | − | 6975.37i | 0.0594389 | − | 0.182934i | ||||
\(69\) | 20923.3 | − | 15201.7i | 0.529063 | − | 0.384387i | ||||
\(70\) | −21551.2 | − | 15657.8i | −0.525685 | − | 0.381933i | ||||
\(71\) | 5254.17 | + | 16170.7i | 0.123697 | + | 0.380699i | 0.993661 | − | 0.112415i | \(-0.0358585\pi\) |
−0.869965 | + | 0.493114i | \(0.835859\pi\) | |||||||
\(72\) | 3788.51 | + | 11659.8i | 0.0861266 | + | 0.265070i | ||||
\(73\) | 56559.7 | + | 41093.0i | 1.24222 | + | 0.902529i | 0.997745 | − | 0.0671255i | \(-0.0213828\pi\) |
0.244480 | + | 0.969654i | \(0.421383\pi\) | |||||||
\(74\) | 62229.1 | − | 45212.1i | 1.32103 | − | 0.959788i | ||||
\(75\) | 6510.30 | − | 20036.6i | 0.133644 | − | 0.411312i | ||||
\(76\) | −13765.5 | −0.273375 | ||||||||
\(77\) | −59109.1 | − | 11870.9i | −1.13613 | − | 0.228168i | ||||
\(78\) | −17639.3 | −0.328281 | ||||||||
\(79\) | −14674.8 | + | 45164.4i | −0.264548 | + | 0.814195i | 0.727249 | + | 0.686373i | \(0.240798\pi\) |
−0.991797 | + | 0.127821i | \(0.959202\pi\) | |||||||
\(80\) | 27582.9 | − | 20040.2i | 0.481854 | − | 0.350088i | ||||
\(81\) | −5307.96 | − | 3856.46i | −0.0898908 | − | 0.0653095i | ||||
\(82\) | 32348.0 | + | 99556.8i | 0.531266 | + | 1.63507i | ||||
\(83\) | −6981.10 | − | 21485.6i | −0.111232 | − | 0.342336i | 0.879911 | − | 0.475139i | \(-0.157602\pi\) |
−0.991142 | + | 0.132803i | \(0.957602\pi\) | |||||||
\(84\) | −8857.53 | − | 6435.38i | −0.136967 | − | 0.0995121i | ||||
\(85\) | −20519.2 | + | 14908.1i | −0.308044 | + | 0.223807i | ||||
\(86\) | −27218.7 | + | 83770.6i | −0.396846 | + | 1.22137i | ||||
\(87\) | −22451.7 | −0.318017 | ||||||||
\(88\) | 29777.1 | − | 52941.6i | 0.409898 | − | 0.728770i | ||||
\(89\) | 25397.8 | 0.339876 | 0.169938 | − | 0.985455i | \(-0.445643\pi\) | ||||
0.169938 | + | 0.985455i | \(0.445643\pi\) | |||||||
\(90\) | −4438.35 | + | 13659.9i | −0.0577585 | + | 0.177762i | ||||
\(91\) | −37618.1 | + | 27331.1i | −0.476204 | + | 0.345983i | ||||
\(92\) | −18825.3 | − | 13677.4i | −0.231885 | − | 0.168474i | ||||
\(93\) | −3355.39 | − | 10326.8i | −0.0402286 | − | 0.123811i | ||||
\(94\) | −29216.9 | − | 89920.4i | −0.341047 | − | 1.04964i | ||||
\(95\) | 38511.7 | + | 27980.4i | 0.437808 | + | 0.318086i | ||||
\(96\) | 20871.0 | − | 15163.7i | 0.231135 | − | 0.167930i | ||||
\(97\) | −52256.2 | + | 160828.i | −0.563908 | + | 1.73553i | 0.107266 | + | 0.994230i | \(0.465790\pi\) |
−0.671174 | + | 0.741300i | \(0.734210\pi\) | |||||||
\(98\) | −36488.1 | −0.383783 | ||||||||
\(99\) | 3761.18 | + | 32287.9i | 0.0385688 | + | 0.331094i | ||||
\(100\) | −18955.3 | −0.189553 | ||||||||
\(101\) | −8647.42 | + | 26614.0i | −0.0843496 | + | 0.259601i | −0.984332 | − | 0.176325i | \(-0.943579\pi\) |
0.899982 | + | 0.435926i | \(0.143579\pi\) | |||||||
\(102\) | −41760.5 | + | 30340.8i | −0.397434 | + | 0.288753i | ||||
\(103\) | −124418. | − | 90395.1i | −1.15556 | − | 0.839560i | −0.166346 | − | 0.986067i | \(-0.553197\pi\) |
−0.989210 | + | 0.146507i | \(0.953197\pi\) | |||||||
\(104\) | −14476.5 | − | 44554.2i | −0.131244 | − | 0.403929i | ||||
\(105\) | 11699.8 | + | 36008.3i | 0.103563 | + | 0.318735i | ||||
\(106\) | 85483.6 | + | 62107.5i | 0.738955 | + | 0.536882i | ||||
\(107\) | 68635.0 | − | 49866.2i | 0.579544 | − | 0.421063i | −0.259016 | − | 0.965873i | \(-0.583398\pi\) |
0.838559 | + | 0.544810i | \(0.183398\pi\) | |||||||
\(108\) | −1824.16 | + | 5614.20i | −0.0150489 | + | 0.0463157i | ||||
\(109\) | −119569. | −0.963945 | −0.481973 | − | 0.876186i | \(-0.660080\pi\) | ||||
−0.481973 | + | 0.876186i | \(0.660080\pi\) | |||||||
\(110\) | 64678.3 | − | 29672.7i | 0.509656 | − | 0.233816i | ||||
\(111\) | −109325. | −0.842193 | ||||||||
\(112\) | 56523.4 | − | 173961.i | 0.425778 | − | 1.31041i | ||||
\(113\) | 128780. | − | 93564.1i | 0.948750 | − | 0.689307i | −0.00176076 | − | 0.999998i | \(-0.500560\pi\) |
0.950511 | + | 0.310691i | \(0.100560\pi\) | |||||||
\(114\) | 78378.7 | + | 56945.5i | 0.564854 | + | 0.410390i | ||||
\(115\) | 24866.1 | + | 76530.1i | 0.175333 | + | 0.539619i | ||||
\(116\) | 6242.28 | + | 19211.8i | 0.0430723 | + | 0.132563i | ||||
\(117\) | 20282.6 | + | 14736.2i | 0.136980 | + | 0.0995221i | ||||
\(118\) | 191422. | − | 139076.i | 1.26557 | − | 0.919492i | ||||
\(119\) | −42048.2 | + | 129411.i | −0.272195 | + | 0.837730i | ||||
\(120\) | −38145.2 | −0.241817 | ||||||||
\(121\) | 105045. | − | 122078.i | 0.652248 | − | 0.758006i | ||||
\(122\) | −129501. | −0.787724 | ||||||||
\(123\) | 45975.9 | − | 141499.i | 0.274011 | − | 0.843319i | ||||
\(124\) | −7903.68 | + | 5742.36i | −0.0461610 | + | 0.0335379i | ||||
\(125\) | 123826. | + | 89964.9i | 0.708822 | + | 0.514989i | ||||
\(126\) | 23811.4 | + | 73283.9i | 0.133616 | + | 0.411228i | ||||
\(127\) | −46475.2 | − | 143036.i | −0.255689 | − | 0.786929i | −0.993693 | − | 0.112133i | \(-0.964232\pi\) |
0.738004 | − | 0.674796i | \(-0.235768\pi\) | |||||||
\(128\) | 180819. | + | 131372.i | 0.975480 | + | 0.708728i | ||||
\(129\) | 101281. | − | 73584.7i | 0.535861 | − | 0.389326i | ||||
\(130\) | 16959.7 | − | 52196.5i | 0.0880155 | − | 0.270884i | ||||
\(131\) | −336852. | −1.71499 | −0.857494 | − | 0.514494i | \(-0.827980\pi\) | ||||
−0.857494 | + | 0.514494i | \(0.827980\pi\) | |||||||
\(132\) | 26582.8 | − | 12195.5i | 0.132790 | − | 0.0609205i | ||||
\(133\) | 255386. | 1.25190 | ||||||||
\(134\) | −19822.0 | + | 61005.9i | −0.0953644 | + | 0.293501i | ||||
\(135\) | 16515.1 | − | 11998.9i | 0.0779913 | − | 0.0566640i | ||||
\(136\) | −110909. | − | 80579.9i | −0.514184 | − | 0.373576i | ||||
\(137\) | −96654.5 | − | 297472.i | −0.439968 | − | 1.35408i | −0.887909 | − | 0.460019i | \(-0.847843\pi\) |
0.447941 | − | 0.894063i | \(-0.352157\pi\) | |||||||
\(138\) | 50607.4 | + | 155754.i | 0.226212 | + | 0.696210i | ||||
\(139\) | −224652. | − | 163219.i | −0.986219 | − | 0.716530i | −0.0271291 | − | 0.999632i | \(-0.508637\pi\) |
−0.959090 | + | 0.283102i | \(0.908637\pi\) | |||||||
\(140\) | 27559.2 | − | 20022.9i | 0.118835 | − | 0.0863390i | ||||
\(141\) | −41525.8 | + | 127803.i | −0.175902 | + | 0.541370i | ||||
\(142\) | −107666. | −0.448084 | ||||||||
\(143\) | −14372.1 | − | 123377.i | −0.0587732 | − | 0.504540i | ||||
\(144\) | −98621.7 | −0.396338 | ||||||||
\(145\) | 21586.6 | − | 66436.8i | 0.0852638 | − | 0.262415i | ||||
\(146\) | −358151. | + | 260212.i | −1.39054 | + | 1.01029i | ||||
\(147\) | 41955.8 | + | 30482.7i | 0.160140 | + | 0.116348i | ||||
\(148\) | 30395.8 | + | 93548.6i | 0.114067 | + | 0.351061i | ||||
\(149\) | 125849. | + | 387323.i | 0.464391 | + | 1.42925i | 0.859747 | + | 0.510720i | \(0.170621\pi\) |
−0.395356 | + | 0.918528i | \(0.629379\pi\) | |||||||
\(150\) | 107928. | + | 78414.5i | 0.391658 | + | 0.284556i | ||||
\(151\) | −446201. | + | 324184.i | −1.59253 | + | 1.15704i | −0.692320 | + | 0.721591i | \(0.743411\pi\) |
−0.900212 | + | 0.435451i | \(0.856589\pi\) | |||||||
\(152\) | −79510.2 | + | 244707.i | −0.279135 | + | 0.859088i | ||||
\(153\) | 73365.5 | 0.253375 | ||||||||
\(154\) | 187154. | − | 332746.i | 0.635911 | − | 1.13061i | ||||
\(155\) | 33784.2 | 0.112949 | ||||||||
\(156\) | 6970.43 | − | 21452.8i | 0.0229323 | − | 0.0705785i | ||||
\(157\) | 183038. | − | 132985.i | 0.592642 | − | 0.430580i | −0.250618 | − | 0.968086i | \(-0.580634\pi\) |
0.843260 | + | 0.537507i | \(0.180634\pi\) | |||||||
\(158\) | −243280. | − | 176753.i | −0.775289 | − | 0.563280i | ||||
\(159\) | −46407.8 | − | 142829.i | −0.145579 | − | 0.448046i | ||||
\(160\) | 24804.0 | + | 76338.9i | 0.0765988 | + | 0.235747i | ||||
\(161\) | 349258. | + | 253751.i | 1.06190 | + | 0.771512i | ||||
\(162\) | 33611.4 | − | 24420.1i | 0.100623 | − | 0.0731072i | ||||
\(163\) | −183643. | + | 565194.i | −0.541383 | + | 1.66621i | 0.188054 | + | 0.982159i | \(0.439782\pi\) |
−0.729437 | + | 0.684048i | \(0.760218\pi\) | |||||||
\(164\) | −133863. | −0.388642 | ||||||||
\(165\) | −99159.4 | − | 19914.2i | −0.283546 | − | 0.0569445i | ||||
\(166\) | 143054. | 0.402930 | ||||||||
\(167\) | 80477.4 | − | 247684.i | 0.223297 | − | 0.687237i | −0.775163 | − | 0.631761i | \(-0.782332\pi\) |
0.998460 | − | 0.0554760i | \(-0.0176676\pi\) | |||||||
\(168\) | −165562. | + | 120288.i | −0.452571 | + | 0.328812i | ||||
\(169\) | 222879. | + | 161931.i | 0.600279 | + | 0.436128i | ||||
\(170\) | −49629.9 | − | 152745.i | −0.131711 | − | 0.405364i | ||||
\(171\) | −42550.7 | − | 130958.i | −0.111280 | − | 0.342484i | ||||
\(172\) | −91125.1 | − | 66206.3i | −0.234864 | − | 0.170639i | ||||
\(173\) | 363003. | − | 263737.i | 0.922136 | − | 0.669971i | −0.0219186 | − | 0.999760i | \(-0.506977\pi\) |
0.944055 | + | 0.329789i | \(0.106977\pi\) | |||||||
\(174\) | 43932.9 | − | 135212.i | 0.110006 | − | 0.338564i | ||||
\(175\) | 351670. | 0.868040 | ||||||||
\(176\) | 331012. | + | 359414.i | 0.805493 | + | 0.874607i | ||||
\(177\) | −336293. | −0.806835 | ||||||||
\(178\) | −49697.8 | + | 152954.i | −0.117568 | + | 0.361836i | ||||
\(179\) | 398534. | − | 289552.i | 0.929679 | − | 0.675452i | −0.0162348 | − | 0.999868i | \(-0.505168\pi\) |
0.945914 | + | 0.324417i | \(0.105168\pi\) | |||||||
\(180\) | −14859.1 | − | 10795.8i | −0.0341831 | − | 0.0248355i | ||||
\(181\) | 171460. | + | 527701.i | 0.389016 | + | 1.19727i | 0.933525 | + | 0.358513i | \(0.116716\pi\) |
−0.544509 | + | 0.838755i | \(0.683284\pi\) | |||||||
\(182\) | −90987.2 | − | 280030.i | −0.203611 | − | 0.626651i | ||||
\(183\) | 148907. | + | 108187.i | 0.328690 | + | 0.238808i | ||||
\(184\) | −351876. | + | 255653.i | −0.766204 | + | 0.556680i | ||||
\(185\) | 105113. | − | 323503.i | 0.225801 | − | 0.694943i | ||||
\(186\) | 68757.3 | 0.145726 | ||||||||
\(187\) | −246242. | − | 267371.i | −0.514943 | − | 0.559127i | ||||
\(188\) | 120906. | 0.249490 | ||||||||
\(189\) | 33843.0 | − | 104158.i | 0.0689150 | − | 0.212099i | ||||
\(190\) | −243866. | + | 177179.i | −0.490080 | + | 0.356064i | ||||
\(191\) | −59841.4 | − | 43477.3i | −0.118691 | − | 0.0862342i | 0.526856 | − | 0.849954i | \(-0.323371\pi\) |
−0.645547 | + | 0.763720i | \(0.723371\pi\) | |||||||
\(192\) | −57877.3 | − | 178128.i | −0.113307 | − | 0.348722i | ||||
\(193\) | −241010. | − | 741753.i | −0.465738 | − | 1.43340i | −0.858051 | − | 0.513564i | \(-0.828325\pi\) |
0.392313 | − | 0.919832i | \(-0.371675\pi\) | |||||||
\(194\) | −866307. | − | 629409.i | −1.65260 | − | 1.20068i | ||||
\(195\) | −63106.8 | + | 45849.8i | −0.118847 | + | 0.0863477i | ||||
\(196\) | 14418.8 | − | 44376.4i | 0.0268095 | − | 0.0825110i | ||||
\(197\) | 197885. | 0.363285 | 0.181643 | − | 0.983365i | \(-0.441859\pi\) | ||||
0.181643 | + | 0.983365i | \(0.441859\pi\) | |||||||
\(198\) | −201809. | − | 40529.2i | −0.365828 | − | 0.0734691i | ||||
\(199\) | 75090.8 | 0.134417 | 0.0672084 | − | 0.997739i | \(-0.478591\pi\) | ||||
0.0672084 | + | 0.997739i | \(0.478591\pi\) | |||||||
\(200\) | −109486. | + | 336964.i | −0.193546 | + | 0.595674i | ||||
\(201\) | 73757.6 | − | 53588.1i | 0.128771 | − | 0.0935574i | ||||
\(202\) | −143358. | − | 104155.i | −0.247196 | − | 0.179599i | ||||
\(203\) | −115810. | − | 356428.i | −0.197246 | − | 0.607059i | ||||
\(204\) | −20397.9 | − | 62778.3i | −0.0343171 | − | 0.105617i | ||||
\(205\) | 374506. | + | 272095.i | 0.622407 | + | 0.452205i | ||||
\(206\) | 787849. | − | 572406.i | 1.29352 | − | 0.939801i | ||||
\(207\) | 71927.9 | − | 221371.i | 0.116673 | − | 0.359084i | ||||
\(208\) | 376850. | 0.603962 | ||||||||
\(209\) | −334441. | + | 594614.i | −0.529608 | + | 0.941606i | ||||
\(210\) | −239748. | −0.375152 | ||||||||
\(211\) | −196695. | + | 605364.i | −0.304149 | + | 0.936075i | 0.675844 | + | 0.737045i | \(0.263779\pi\) |
−0.979993 | + | 0.199030i | \(0.936221\pi\) | |||||||
\(212\) | −109315. | + | 79421.7i | −0.167047 | + | 0.121367i | ||||
\(213\) | 123800. | + | 89946.2i | 0.186970 | + | 0.135842i | ||||
\(214\) | 166008. | + | 510920.i | 0.247796 | + | 0.762638i | ||||
\(215\) | 120366. | + | 370449.i | 0.177586 | + | 0.546553i | ||||
\(216\) | 89266.1 | + | 64855.6i | 0.130182 | + | 0.0945830i | ||||
\(217\) | 146634. | − | 106536.i | 0.211390 | − | 0.153584i | ||||
\(218\) | 233970. | − | 720085.i | 0.333441 | − | 1.02623i | ||||
\(219\) | 629205. | 0.886506 | ||||||||
\(220\) | 10529.0 | + | 90386.8i | 0.0146667 | + | 0.125906i | ||||
\(221\) | −280342. | −0.386106 | ||||||||
\(222\) | 213925. | − | 658392.i | 0.291325 | − | 0.896607i | ||||
\(223\) | 377838. | − | 274515.i | 0.508795 | − | 0.369661i | −0.303571 | − | 0.952809i | \(-0.598179\pi\) |
0.812366 | + | 0.583147i | \(0.198179\pi\) | |||||||
\(224\) | 348386. | + | 253117.i | 0.463917 | + | 0.337055i | ||||
\(225\) | −58592.7 | − | 180330.i | −0.0771591 | − | 0.237471i | ||||
\(226\) | 311481. | + | 958640.i | 0.405658 | + | 1.24849i | ||||
\(227\) | −352187. | − | 255879.i | −0.453637 | − | 0.329586i | 0.337393 | − | 0.941364i | \(-0.390455\pi\) |
−0.791030 | + | 0.611777i | \(0.790455\pi\) | |||||||
\(228\) | −100229. | + | 72820.6i | −0.127690 | + | 0.0927721i | ||||
\(229\) | 196019. | − | 603285.i | 0.247007 | − | 0.760210i | −0.748293 | − | 0.663369i | \(-0.769126\pi\) |
0.995300 | − | 0.0968412i | \(-0.0308739\pi\) | |||||||
\(230\) | −509548. | −0.635134 | ||||||||
\(231\) | −493180. | + | 226257.i | −0.608100 | + | 0.278980i | ||||
\(232\) | 377579. | 0.460562 | ||||||||
\(233\) | −330548. | + | 1.01732e6i | −0.398883 | + | 1.22763i | 0.527014 | + | 0.849857i | \(0.323312\pi\) |
−0.925896 | + | 0.377778i | \(0.876688\pi\) | |||||||
\(234\) | −128435. | + | 93313.3i | −0.153335 | + | 0.111405i | ||||
\(235\) | −338257. | − | 245758.i | −0.399555 | − | 0.290294i | ||||
\(236\) | 93500.1 | + | 287764.i | 0.109278 | + | 0.336323i | ||||
\(237\) | 132073. | + | 406479.i | 0.152737 | + | 0.470075i | ||||
\(238\) | −697079. | − | 506457.i | −0.797700 | − | 0.579563i | ||||
\(239\) | −1.22620e6 | + | 890886.i | −1.38857 | + | 1.00885i | −0.392544 | + | 0.919733i | \(0.628405\pi\) |
−0.996021 | + | 0.0891186i | \(0.971595\pi\) | |||||||
\(240\) | 94821.7 | − | 291831.i | 0.106262 | − | 0.327042i | ||||
\(241\) | 245818. | 0.272628 | 0.136314 | − | 0.990666i | \(-0.456474\pi\) | ||||
0.136314 | + | 0.990666i | \(0.456474\pi\) | |||||||
\(242\) | 529643. | + | 871496.i | 0.581360 | + | 0.956593i | ||||
\(243\) | −59049.0 | −0.0641500 | ||||||||
\(244\) | 51174.2 | − | 157498.i | 0.0550271 | − | 0.169356i | ||||
\(245\) | −130540. | + | 94843.2i | −0.138941 | + | 0.100946i | ||||
\(246\) | 762193. | + | 553765.i | 0.803021 | + | 0.583429i | ||||
\(247\) | 162593. | + | 500410.i | 0.169574 | + | 0.521896i | ||||
\(248\) | 56428.8 | + | 173670.i | 0.0582602 | + | 0.179306i | ||||
\(249\) | −164491. | − | 119509.i | −0.168129 | − | 0.122153i | ||||
\(250\) | −784099. | + | 569682.i | −0.793453 | + | 0.576477i | ||||
\(251\) | 213164. | − | 656050.i | 0.213564 | − | 0.657283i | −0.785688 | − | 0.618623i | \(-0.787691\pi\) |
0.999252 | − | 0.0386605i | \(-0.0123091\pi\) | |||||||
\(252\) | −98536.6 | −0.0977454 | ||||||||
\(253\) | −1.04818e6 | + | 480875.i | −1.02952 | + | 0.472314i | ||||
\(254\) | 952352. | 0.926218 | ||||||||
\(255\) | −70538.7 | + | 217096.i | −0.0679324 | + | 0.209074i | ||||
\(256\) | −606237. | + | 440457.i | −0.578152 | + | 0.420052i | ||||
\(257\) | −991734. | − | 720537.i | −0.936618 | − | 0.680493i | 0.0109863 | − | 0.999940i | \(-0.496503\pi\) |
−0.947604 | + | 0.319447i | \(0.896503\pi\) | |||||||
\(258\) | 244968. | + | 753935.i | 0.229119 | + | 0.705155i | ||||
\(259\) | −563920. | − | 1.73557e6i | −0.522358 | − | 1.60765i | ||||
\(260\) | 56779.1 | + | 41252.4i | 0.0520900 | + | 0.0378456i | ||||
\(261\) | −163474. | + | 118771.i | −0.148542 | + | 0.107922i | ||||
\(262\) | 659145. | − | 2.02864e6i | 0.593236 | − | 1.82579i | ||||
\(263\) | −941210. | −0.839068 | −0.419534 | − | 0.907740i | \(-0.637807\pi\) | ||||
−0.419534 | + | 0.907740i | \(0.637807\pi\) | |||||||
\(264\) | −63253.2 | − | 542999.i | −0.0558563 | − | 0.479500i | ||||
\(265\) | 467263. | 0.408740 | ||||||||
\(266\) | −499734. | + | 1.53802e6i | −0.433047 | + | 1.33278i | ||||
\(267\) | 184925. | − | 134356.i | 0.158752 | − | 0.115340i | ||||
\(268\) | −66361.9 | − | 48214.7i | −0.0564393 | − | 0.0410056i | ||||
\(269\) | −331386. | − | 1.01990e6i | −0.279225 | − | 0.859365i | −0.988071 | − | 0.154002i | \(-0.950784\pi\) |
0.708846 | − | 0.705363i | \(-0.249216\pi\) | |||||||
\(270\) | 39945.2 | + | 122939.i | 0.0333469 | + | 0.102631i | ||||
\(271\) | 275315. | + | 200028.i | 0.227723 | + | 0.165451i | 0.695796 | − | 0.718239i | \(-0.255052\pi\) |
−0.468073 | + | 0.883690i | \(0.655052\pi\) | |||||||
\(272\) | 892179. | − | 648206.i | 0.731189 | − | 0.531240i | ||||
\(273\) | −129320. | + | 398005.i | −0.105016 | + | 0.323207i | ||||
\(274\) | 1.98061e6 | 1.59376 | ||||||||
\(275\) | −460529. | + | 818789.i | −0.367219 | + | 0.652890i | ||||
\(276\) | −209424. | −0.165483 | ||||||||
\(277\) | 521981. | − | 1.60649e6i | 0.408748 | − | 1.25800i | −0.508977 | − | 0.860780i | \(-0.669976\pi\) |
0.917725 | − | 0.397216i | \(-0.130024\pi\) | |||||||
\(278\) | 1.42256e6 | − | 1.03355e6i | 1.10397 | − | 0.802081i | ||||
\(279\) | −79060.6 | − | 57440.9i | −0.0608064 | − | 0.0441785i | ||||
\(280\) | −196760. | − | 605566.i | −0.149983 | − | 0.461601i | ||||
\(281\) | −54846.3 | − | 168799.i | −0.0414363 | − | 0.127528i | 0.928198 | − | 0.372086i | \(-0.121357\pi\) |
−0.969635 | + | 0.244558i | \(0.921357\pi\) | |||||||
\(282\) | −688418. | − | 500165.i | −0.515501 | − | 0.374533i | ||||
\(283\) | −1.64475e6 | + | 1.19498e6i | −1.22077 | + | 0.886944i | −0.996164 | − | 0.0875050i | \(-0.972111\pi\) |
−0.224609 | + | 0.974449i | \(0.572111\pi\) | |||||||
\(284\) | 42545.9 | − | 130943.i | 0.0313013 | − | 0.0963355i | ||||
\(285\) | 428427. | 0.312439 | ||||||||
\(286\) | 771144. | + | 154869.i | 0.557468 | + | 0.111956i | ||||
\(287\) | 2.48350e6 | 1.77975 | ||||||||
\(288\) | 71748.3 | − | 220818.i | 0.0509718 | − | 0.156875i | ||||
\(289\) | 484989. | − | 352365.i | 0.341576 | − | 0.248170i | ||||
\(290\) | 357865. | + | 260004.i | 0.249876 | + | 0.181545i | ||||
\(291\) | 470306. | + | 1.44745e6i | 0.325572 | + | 1.00201i | ||||
\(292\) | −174939. | − | 538406.i | −0.120068 | − | 0.369533i | ||||
\(293\) | 595077. | + | 432349.i | 0.404953 | + | 0.294215i | 0.771555 | − | 0.636162i | \(-0.219479\pi\) |
−0.366603 | + | 0.930378i | \(0.619479\pi\) | |||||||
\(294\) | −265675. | + | 193024.i | −0.179260 | + | 0.130240i | ||||
\(295\) | 323336. | − | 995124.i | 0.216321 | − | 0.665767i | ||||
\(296\) | 1.83856e6 | 1.21969 | ||||||||
\(297\) | 198191. | + | 215196.i | 0.130374 | + | 0.141561i | ||||
\(298\) | −2.57885e6 | −1.68223 | ||||||||
\(299\) | −274848. | + | 845896.i | −0.177793 | + | 0.547191i | ||||
\(300\) | −138016. | + | 100275.i | −0.0885375 | + | 0.0643263i | ||||
\(301\) | 1.69061e6 | + | 1.22830e6i | 1.07554 | + | 0.781425i | ||||
\(302\) | −1.07923e6 | − | 3.32153e6i | −0.680921 | − | 2.09566i | ||||
\(303\) | 77826.7 | + | 239526.i | 0.0486992 | + | 0.149881i | ||||
\(304\) | −1.67450e6 | − | 1.21659e6i | −1.03920 | − | 0.755025i | ||||
\(305\) | −463306. | + | 336611.i | −0.285179 | + | 0.207195i | ||||
\(306\) | −143560. | + | 441832.i | −0.0876455 | + | 0.269745i | ||||
\(307\) | 272950. | 0.165286 | 0.0826431 | − | 0.996579i | \(-0.473664\pi\) | ||||
0.0826431 | + | 0.996579i | \(0.473664\pi\) | |||||||
\(308\) | 330726. | + | 359104.i | 0.198652 | + | 0.215697i | ||||
\(309\) | −1.38410e6 | −0.824655 | ||||||||
\(310\) | −66108.1 | + | 203460.i | −0.0390706 | + | 0.120247i | ||||
\(311\) | 772254. | − | 561075.i | 0.452751 | − | 0.328943i | −0.337930 | − | 0.941171i | \(-0.609727\pi\) |
0.790681 | + | 0.612228i | \(0.209727\pi\) | |||||||
\(312\) | −341100. | − | 247824.i | −0.198379 | − | 0.144131i | ||||
\(313\) | −584705. | − | 1.79954e6i | −0.337346 | − | 1.03825i | −0.965555 | − | 0.260200i | \(-0.916211\pi\) |
0.628208 | − | 0.778045i | \(-0.283789\pi\) | |||||||
\(314\) | 442716. | + | 1.36254e6i | 0.253397 | + | 0.779875i | ||||
\(315\) | 275675. | + | 200289.i | 0.156538 | + | 0.113732i | ||||
\(316\) | 311101. | − | 226028.i | 0.175260 | − | 0.127334i | ||||
\(317\) | −390811. | + | 1.20279e6i | −0.218433 | + | 0.672267i | 0.780459 | + | 0.625207i | \(0.214985\pi\) |
−0.998892 | + | 0.0470606i | \(0.985015\pi\) | |||||||
\(318\) | 950972. | 0.527351 | ||||||||
\(319\) | 981527. | + | 197120.i | 0.540039 | + | 0.108456i | ||||
\(320\) | 582746. | 0.318130 | ||||||||
\(321\) | 235946. | − | 726167.i | 0.127806 | − | 0.393345i | ||||
\(322\) | −2.21159e6 | + | 1.60682e6i | −1.18868 | + | 0.863628i | ||||
\(323\) | 1.24567e6 | + | 905033.i | 0.664350 | + | 0.482679i | ||||
\(324\) | 16417.5 | + | 50527.8i | 0.00868849 | + | 0.0267404i | ||||
\(325\) | 223892. | + | 689070.i | 0.117579 | + | 0.361872i | ||||
\(326\) | −3.04444e6 | − | 2.21192e6i | −1.58659 | − | 1.15272i | ||||
\(327\) | −870600. | + | 632528.i | −0.450246 | + | 0.327123i | ||||
\(328\) | −773195. | + | 2.37965e6i | −0.396830 | + | 1.22132i | ||||
\(329\) | −2.24311e6 | −1.14251 | ||||||||
\(330\) | 313963. | − | 558204.i | 0.158706 | − | 0.282168i | ||||
\(331\) | −1.29373e6 | −0.649042 | −0.324521 | − | 0.945878i | \(-0.605203\pi\) | ||||
−0.324521 | + | 0.945878i | \(0.605203\pi\) | |||||||
\(332\) | −56529.8 | + | 173981.i | −0.0281470 | + | 0.0866277i | ||||
\(333\) | −796012. | + | 578336.i | −0.393377 | + | 0.285805i | ||||
\(334\) | 1.33416e6 | + | 969324.i | 0.654398 | + | 0.475448i | ||||
\(335\) | 87656.7 | + | 269779.i | 0.0426749 | + | 0.131340i | ||||
\(336\) | −508711. | − | 1.56565e6i | −0.245823 | − | 0.756565i | ||||
\(337\) | 1.15898e6 | + | 842046.i | 0.555904 | + | 0.403888i | 0.829958 | − | 0.557826i | \(-0.188365\pi\) |
−0.274053 | + | 0.961714i | \(0.588365\pi\) | |||||||
\(338\) | −1.41133e6 | + | 1.02539e6i | −0.671950 | + | 0.488200i | ||||
\(339\) | 442706. | − | 1.36251e6i | 0.209226 | − | 0.643932i | ||||
\(340\) | 205379. | 0.0963517 | ||||||||
\(341\) | 56021.7 | + | 480920.i | 0.0260898 | + | 0.223968i | ||||
\(342\) | 871933. | 0.403105 | ||||||||
\(343\) | 512740. | − | 1.57805e6i | 0.235322 | − | 0.724245i | ||||
\(344\) | −1.70328e6 | + | 1.23750e6i | −0.776049 | + | 0.563832i | ||||
\(345\) | 585903. | + | 425684.i | 0.265020 | + | 0.192548i | ||||
\(346\) | 877999. | + | 2.70220e6i | 0.394279 | + | 1.21347i | ||||
\(347\) | −787144. | − | 2.42258e6i | −0.350938 | − | 1.08008i | −0.958327 | − | 0.285672i | \(-0.907783\pi\) |
0.607389 | − | 0.794404i | \(-0.292217\pi\) | |||||||
\(348\) | 147082. | + | 106862.i | 0.0651048 | + | 0.0473014i | ||||
\(349\) | 1.21385e6 | − | 881910.i | 0.533458 | − | 0.387580i | −0.288192 | − | 0.957573i | \(-0.593054\pi\) |
0.821650 | + | 0.569993i | \(0.193054\pi\) | |||||||
\(350\) | −688139. | + | 2.11787e6i | −0.300266 | + | 0.924123i | ||||
\(351\) | 225636. | 0.0977553 | ||||||||
\(352\) | −1.04556e6 | + | 479674.i | −0.449771 | + | 0.206343i | ||||
\(353\) | 1.30139e6 | 0.555868 | 0.277934 | − | 0.960600i | \(-0.410350\pi\) | ||||
0.277934 | + | 0.960600i | \(0.410350\pi\) | |||||||
\(354\) | 658051. | − | 2.02527e6i | 0.279094 | − | 0.858964i | ||||
\(355\) | −385190. | + | 279857.i | −0.162220 | + | 0.117860i | ||||
\(356\) | −166383. | − | 120884.i | −0.0695798 | − | 0.0505527i | ||||
\(357\) | 378434. | + | 1.16470e6i | 0.157152 | + | 0.483664i | ||||
\(358\) | 963939. | + | 2.96670e6i | 0.397504 | + | 1.22339i | ||||
\(359\) | 1.16326e6 | + | 845155.i | 0.476364 | + | 0.346099i | 0.799916 | − | 0.600111i | \(-0.204877\pi\) |
−0.323552 | + | 0.946210i | \(0.604877\pi\) | |||||||
\(360\) | −277741. | + | 201790.i | −0.112949 | + | 0.0820624i | ||||
\(361\) | 127862. | − | 393519.i | 0.0516386 | − | 0.158927i | ||||
\(362\) | −3.51350e6 | −1.40919 | ||||||||
\(363\) | 119051. | − | 1.44456e6i | 0.0474205 | − | 0.575400i | ||||
\(364\) | 376525. | 0.148950 | ||||||||
\(365\) | −604961. | + | 1.86188e6i | −0.237682 | + | 0.731508i | ||||
\(366\) | −942918. | + | 685070.i | −0.367935 | + | 0.267320i | ||||
\(367\) | 3.13489e6 | + | 2.27763e6i | 1.21495 | + | 0.882711i | 0.995671 | − | 0.0929523i | \(-0.0296304\pi\) |
0.219276 | + | 0.975663i | \(0.429630\pi\) | |||||||
\(368\) | −1.08118e6 | − | 3.32754e6i | −0.416179 | − | 1.28087i | ||||
\(369\) | −413783. | − | 1.27349e6i | −0.158200 | − | 0.486890i | ||||
\(370\) | 1.74257e6 | + | 1.26605e6i | 0.661736 | + | 0.480779i | ||||
\(371\) | 2.02807e6 | − | 1.47348e6i | 0.764976 | − | 0.555787i | ||||
\(372\) | −27170.4 | + | 83622.0i | −0.0101798 | + | 0.0313302i | ||||
\(373\) | −2.44643e6 | −0.910459 | −0.455229 | − | 0.890374i | \(-0.650443\pi\) | ||||
−0.455229 | + | 0.890374i | \(0.650443\pi\) | |||||||
\(374\) | 2.09204e6 | − | 959771.i | 0.773377 | − | 0.354804i | ||||
\(375\) | 1.37752e6 | 0.505847 | ||||||||
\(376\) | 698355. | − | 2.14932e6i | 0.254746 | − | 0.784027i | ||||
\(377\) | 624662. | − | 453843.i | 0.226356 | − | 0.164457i | ||||
\(378\) | 561051. | + | 407628.i | 0.201964 | + | 0.146735i | ||||
\(379\) | −831534. | − | 2.55920e6i | −0.297360 | − | 0.915179i | −0.982419 | − | 0.186691i | \(-0.940224\pi\) |
0.685059 | − | 0.728488i | \(-0.259776\pi\) | |||||||
\(380\) | −119116. | − | 366602.i | −0.0423168 | − | 0.130238i | ||||
\(381\) | −1.09506e6 | − | 795609.i | −0.386479 | − | 0.280794i | ||||
\(382\) | 378932. | − | 275310.i | 0.132862 | − | 0.0965303i | ||||
\(383\) | 548276. | − | 1.68742e6i | 0.190986 | − | 0.587795i | −0.809014 | − | 0.587790i | \(-0.799998\pi\) |
1.00000 | 5.63705e-6i | \(-1.79433e-6\pi\) | ||||||||
\(384\) | 2.01154e6 | 0.696146 | ||||||||
\(385\) | −195341. | − | 1.67691e6i | −0.0671647 | − | 0.576577i | ||||
\(386\) | 4.93869e6 | 1.68711 | ||||||||
\(387\) | 348172. | − | 1.07156e6i | 0.118172 | − | 0.363697i | ||||
\(388\) | 1.10781e6 | − | 804874.i | 0.373584 | − | 0.271424i | ||||
\(389\) | −2.09377e6 | − | 1.52122e6i | −0.701545 | − | 0.509703i | 0.178890 | − | 0.983869i | \(-0.442749\pi\) |
−0.880435 | + | 0.474167i | \(0.842749\pi\) | |||||||
\(390\) | −152637. | − | 469769.i | −0.0508158 | − | 0.156395i | ||||
\(391\) | 804302. | + | 2.47539e6i | 0.266059 | + | 0.818845i | ||||
\(392\) | −705587. | − | 512639.i | −0.231919 | − | 0.168499i | ||||
\(393\) | −2.45267e6 | + | 1.78197e6i | −0.801047 | + | 0.581995i | ||||
\(394\) | −387217. | + | 1.19173e6i | −0.125665 | + | 0.386757i | ||||
\(395\) | −1.32980e6 | −0.428837 | ||||||||
\(396\) | 129039. | − | 229422.i | 0.0413506 | − | 0.0735186i | ||||
\(397\) | −4.92643e6 | −1.56876 | −0.784378 | − | 0.620283i | \(-0.787018\pi\) | ||||
−0.784378 | + | 0.620283i | \(0.787018\pi\) | |||||||
\(398\) | −146936. | + | 452222.i | −0.0464965 | + | 0.143101i | ||||
\(399\) | 1.85951e6 | − | 1.35101e6i | 0.584744 | − | 0.424841i | ||||
\(400\) | −2.30580e6 | − | 1.67526e6i | −0.720562 | − | 0.523519i | ||||
\(401\) | 516517. | + | 1.58968e6i | 0.160407 | + | 0.493683i | 0.998669 | − | 0.0515859i | \(-0.0164276\pi\) |
−0.838261 | + | 0.545269i | \(0.816428\pi\) | |||||||
\(402\) | 178398. | + | 549054.i | 0.0550587 | + | 0.169453i | ||||
\(403\) | 302104. | + | 219491.i | 0.0926602 | + | 0.0673216i | ||||
\(404\) | 183323. | − | 133192.i | 0.0558808 | − | 0.0405998i | ||||
\(405\) | 56773.8 | − | 174732.i | 0.0171993 | − | 0.0529340i | ||||
\(406\) | 2.37314e6 | 0.714511 | ||||||||
\(407\) | 4.77939e6 | + | 959843.i | 1.43017 | + | 0.287220i | ||||
\(408\) | −1.23382e6 | −0.366944 | ||||||||
\(409\) | 383159. | − | 1.17924e6i | 0.113258 | − | 0.348574i | −0.878321 | − | 0.478071i | \(-0.841336\pi\) |
0.991580 | + | 0.129497i | \(0.0413363\pi\) | |||||||
\(410\) | −2.37147e6 | + | 1.72297e6i | −0.696720 | + | 0.506197i | ||||
\(411\) | −2.27740e6 | − | 1.65463e6i | −0.665021 | − | 0.483166i | ||||
\(412\) | 384825. | + | 1.18437e6i | 0.111691 | + | 0.343751i | ||||
\(413\) | −1.73467e6 | − | 5.33876e6i | −0.500428 | − | 1.54016i | ||||
\(414\) | 1.19243e6 | + | 866349.i | 0.341925 | + | 0.248423i | ||||
\(415\) | 511793. | − | 371840.i | 0.145873 | − | 0.105983i | ||||
\(416\) | −274162. | + | 843783.i | −0.0776736 | + | 0.239055i | ||||
\(417\) | −2.49917e6 | −0.703809 | ||||||||
\(418\) | −2.92654e6 | − | 3.17765e6i | −0.819245 | − | 0.889539i | ||||
\(419\) | 191033. | 0.0531586 | 0.0265793 | − | 0.999647i | \(-0.491539\pi\) | ||||
0.0265793 | + | 0.999647i | \(0.491539\pi\) | |||||||
\(420\) | 94740.0 | − | 291580.i | 0.0262066 | − | 0.0806555i | ||||
\(421\) | 1.78615e6 | − | 1.29772e6i | 0.491149 | − | 0.356841i | −0.314477 | − | 0.949265i | \(-0.601829\pi\) |
0.805626 | + | 0.592424i | \(0.201829\pi\) | |||||||
\(422\) | −3.26082e6 | − | 2.36913e6i | −0.891345 | − | 0.647600i | ||||
\(423\) | 373732. | + | 1.15023e6i | 0.101557 | + | 0.312560i | ||||
\(424\) | 780458. | + | 2.40200e6i | 0.210831 | + | 0.648872i | ||||
\(425\) | 1.71530e6 | + | 1.24624e6i | 0.460647 | + | 0.334680i | ||||
\(426\) | −783936. | + | 569563.i | −0.209294 | + | 0.152061i | ||||
\(427\) | −949414. | + | 2.92199e6i | −0.251991 | + | 0.775550i | ||||
\(428\) | −686977. | −0.181273 | ||||||||
\(429\) | −757320. | − | 822300.i | −0.198672 | − | 0.215718i | ||||
\(430\) | −2.46650e6 | −0.643294 | ||||||||
\(431\) | −915536. | + | 2.81773e6i | −0.237401 | + | 0.730645i | 0.759393 | + | 0.650632i | \(0.225496\pi\) |
−0.996794 | + | 0.0800127i | \(0.974504\pi\) | |||||||
\(432\) | −718079. | + | 521715.i | −0.185124 | + | 0.134501i | ||||
\(433\) | 4.22810e6 | + | 3.07190e6i | 1.08374 | + | 0.787384i | 0.978332 | − | 0.207045i | \(-0.0663845\pi\) |
0.105410 | + | 0.994429i | \(0.466385\pi\) | |||||||
\(434\) | 354664. | + | 1.09154e6i | 0.0903843 | + | 0.278174i | ||||
\(435\) | −194280. | − | 597931.i | −0.0492271 | − | 0.151505i | ||||
\(436\) | 783304. | + | 569104.i | 0.197340 | + | 0.143376i | ||||
\(437\) | 3.95209e6 | − | 2.87136e6i | 0.989973 | − | 0.719258i | ||||
\(438\) | −1.23121e6 | + | 3.78929e6i | −0.306654 | + | 0.943783i | ||||
\(439\) | −5.62144e6 | −1.39215 | −0.696075 | − | 0.717969i | \(-0.745072\pi\) | ||||
−0.696075 | + | 0.717969i | \(0.745072\pi\) | |||||||
\(440\) | 1.66760e6 | + | 334904.i | 0.410640 | + | 0.0824686i | ||||
\(441\) | 466742. | 0.114283 | ||||||||
\(442\) | 548566. | − | 1.68831e6i | 0.133559 | − | 0.411052i | ||||
\(443\) | 5.18608e6 | − | 3.76791e6i | 1.25554 | − | 0.912202i | 0.257008 | − | 0.966409i | \(-0.417263\pi\) |
0.998530 | + | 0.0542077i | \(0.0172633\pi\) | |||||||
\(444\) | 716195. | + | 520346.i | 0.172414 | + | 0.125266i | ||||
\(445\) | 219773. | + | 676391.i | 0.0526107 | + | 0.161919i | ||||
\(446\) | 913879. | + | 2.81263e6i | 0.217546 | + | 0.669539i | ||||
\(447\) | 2.96529e6 | + | 2.15441e6i | 0.701937 | + | 0.509987i | ||||
\(448\) | 2.52930e6 | − | 1.83764e6i | 0.595394 | − | 0.432579i | ||||
\(449\) | −884100. | + | 2.72098e6i | −0.206960 | + | 0.636956i | 0.792668 | + | 0.609654i | \(0.208692\pi\) |
−0.999627 | + | 0.0273020i | \(0.991308\pi\) | |||||||
\(450\) | 1.20066e6 | 0.279505 | ||||||||
\(451\) | −3.25227e6 | + | 5.78231e6i | −0.752913 | + | 1.33863i | ||||
\(452\) | −1.28898e6 | −0.296755 | ||||||||
\(453\) | −1.53390e6 | + | 4.72087e6i | −0.351198 | + | 1.08088i | ||||
\(454\) | 2.23014e6 | − | 1.62029e6i | 0.507800 | − | 0.368938i | ||||
\(455\) | −1.05340e6 | − | 765338.i | −0.238542 | − | 0.173311i | ||||
\(456\) | 715592. | + | 2.20236e6i | 0.161158 | + | 0.495995i | ||||
\(457\) | −978169. | − | 3.01049e6i | −0.219090 | − | 0.674291i | −0.998838 | − | 0.0481967i | \(-0.984653\pi\) |
0.779748 | − | 0.626094i | \(-0.215347\pi\) | |||||||
\(458\) | 3.24962e6 | + | 2.36099e6i | 0.723884 | + | 0.525932i | ||||
\(459\) | 534185. | − | 388108.i | 0.118348 | − | 0.0859847i | ||||
\(460\) | 201355. | − | 619707.i | 0.0443678 | − | 0.136550i | ||||
\(461\) | −3.58110e6 | −0.784810 | −0.392405 | − | 0.919792i | \(-0.628357\pi\) | ||||
−0.392405 | + | 0.919792i | \(0.628357\pi\) | |||||||
\(462\) | −397556. | − | 3.41283e6i | −0.0866550 | − | 0.743892i | ||||
\(463\) | −1.60994e6 | −0.349025 | −0.174513 | − | 0.984655i | \(-0.555835\pi\) | ||||
−0.174513 | + | 0.984655i | \(0.555835\pi\) | |||||||
\(464\) | −938591. | + | 2.88868e6i | −0.202386 | + | 0.622881i | ||||
\(465\) | 245988. | − | 178720.i | 0.0527571 | − | 0.0383303i | ||||
\(466\) | −5.47986e6 | − | 3.98135e6i | −1.16897 | − | 0.849308i | ||||
\(467\) | 2.18073e6 | + | 6.71161e6i | 0.462712 | + | 1.42408i | 0.861838 | + | 0.507184i | \(0.169314\pi\) |
−0.399126 | + | 0.916896i | \(0.630686\pi\) | |||||||
\(468\) | −62733.9 | − | 193075.i | −0.0132400 | − | 0.0407485i | ||||
\(469\) | 1.23118e6 | + | 894508.i | 0.258459 | + | 0.187781i | ||||
\(470\) | 2.14193e6 | − | 1.55620e6i | 0.447261 | − | 0.324954i | ||||
\(471\) | 629229. | − | 1.93657e6i | 0.130694 | − | 0.402236i | ||||
\(472\) | 5.65557e6 | 1.16848 | ||||||||
\(473\) | −5.07377e6 | + | 2.32771e6i | −1.04274 | + | 0.478382i | ||||
\(474\) | −2.70639e6 | −0.553280 | ||||||||
\(475\) | 1.22970e6 | − | 3.78461e6i | 0.250071 | − | 0.769640i | ||||
\(476\) | 891409. | − | 647647.i | 0.180327 | − | 0.131015i | ||||
\(477\) | −1.09347e6 | − | 794456.i | −0.220046 | − | 0.159873i | ||||
\(478\) | −2.96582e6 | − | 9.12785e6i | −0.593711 | − | 1.82725i | ||||
\(479\) | 1.85220e6 | + | 5.70050e6i | 0.368850 | + | 1.13520i | 0.947535 | + | 0.319653i | \(0.103566\pi\) |
−0.578685 | + | 0.815551i | \(0.696434\pi\) | |||||||
\(480\) | 584440. | + | 424620.i | 0.115781 | + | 0.0841197i | ||||
\(481\) | 3.04169e6 | − | 2.20992e6i | 0.599449 | − | 0.435525i | ||||
\(482\) | −481011. | + | 1.48040e6i | −0.0943055 | + | 0.290242i | ||||
\(483\) | 3.88536e6 | 0.757815 | ||||||||
\(484\) | −1.26920e6 | + | 299763.i | −0.246273 | + | 0.0581653i | ||||
\(485\) | −4.73534e6 | −0.914106 | ||||||||
\(486\) | 115546. | − | 355613.i | 0.0221903 | − | 0.0682947i | ||||
\(487\) | −3.69276e6 | + | 2.68295e6i | −0.705552 | + | 0.512614i | −0.881736 | − | 0.471744i | \(-0.843625\pi\) |
0.176184 | + | 0.984357i | \(0.443625\pi\) | |||||||
\(488\) | −2.50423e6 | − | 1.81943e6i | −0.476019 | − | 0.345848i | ||||
\(489\) | 1.65279e6 | + | 5.08675e6i | 0.312568 | + | 0.961985i | ||||
\(490\) | −315739. | − | 971746.i | −0.0594071 | − | 0.182836i | ||||
\(491\) | −4.34031e6 | − | 3.15342e6i | −0.812487 | − | 0.590307i | 0.102063 | − | 0.994778i | \(-0.467456\pi\) |
−0.914551 | + | 0.404471i | \(0.867456\pi\) | |||||||
\(492\) | −974675. | + | 708143.i | −0.181530 | + | 0.131889i | ||||
\(493\) | 698225. | − | 2.14892e6i | 0.129383 | − | 0.398201i | ||||
\(494\) | −3.33180e6 | −0.614273 | ||||||||
\(495\) | −827342. | + | 379562.i | −0.151765 | + | 0.0696257i | ||||
\(496\) | −1.46894e6 | −0.268102 | ||||||||
\(497\) | −789337. | + | 2.42933e6i | −0.143341 | + | 0.441159i | ||||
\(498\) | 1.04160e6 | − | 756766.i | 0.188203 | − | 0.136738i | ||||
\(499\) | −5.82416e6 | − | 4.23150e6i | −1.04709 | − | 0.760752i | −0.0754296 | − | 0.997151i | \(-0.524033\pi\) |
−0.971656 | + | 0.236399i | \(0.924033\pi\) | |||||||
\(500\) | −382993. | − | 1.17873e6i | −0.0685119 | − | 0.210858i | ||||
\(501\) | −724296. | − | 2.22915e6i | −0.128920 | − | 0.396776i | ||||
\(502\) | 3.53384e6 | + | 2.56749e6i | 0.625876 | + | 0.454725i | ||||
\(503\) | 3.88163e6 | − | 2.82017e6i | 0.684060 | − | 0.496999i | −0.190642 | − | 0.981660i | \(-0.561057\pi\) |
0.874702 | + | 0.484661i | \(0.161057\pi\) | |||||||
\(504\) | −569150. | + | 1.75167e6i | −0.0998046 | + | 0.307167i | ||||
\(505\) | −783609. | −0.136732 | ||||||||
\(506\) | −844944. | − | 7.25344e6i | −0.146707 | − | 1.25941i | ||||
\(507\) | 2.47945e6 | 0.428385 | ||||||||
\(508\) | −376336. | + | 1.15824e6i | −0.0647017 | + | 0.199132i | ||||
\(509\) | −1.99220e6 | + | 1.44742e6i | −0.340831 | + | 0.247628i | −0.745012 | − | 0.667051i | \(-0.767557\pi\) |
0.404181 | + | 0.914679i | \(0.367557\pi\) | |||||||
\(510\) | −1.16940e6 | − | 849616.i | −0.199084 | − | 0.144643i | ||||
\(511\) | 3.24557e6 | + | 9.98882e6i | 0.549842 | + | 1.69224i | ||||
\(512\) | 743820. | + | 2.28924e6i | 0.125399 | + | 0.385938i | ||||
\(513\) | −1.00259e6 | − | 728426.i | −0.168202 | − | 0.122206i | ||||
\(514\) | 6.27992e6 | − | 4.56263e6i | 1.04845 | − | 0.761741i | ||||
\(515\) | 1.33077e6 | − | 4.09570e6i | 0.221099 | − | 0.680472i | ||||
\(516\) | −1.01373e6 | −0.167610 | ||||||||
\(517\) | 2.93747e6 | − | 5.22262e6i | 0.483334 | − | 0.859335i | ||||
\(518\) | 1.15556e7 | 1.89221 | ||||||||
\(519\) | 1.24789e6 | − | 3.84062e6i | 0.203357 | − | 0.625869i | ||||
\(520\) | 1.06129e6 | − | 771074.i | 0.172118 | − | 0.125051i | ||||
\(521\) | −8.21678e6 | − | 5.96984e6i | −1.32619 | − | 0.963537i | −0.999833 | − | 0.0182917i | \(-0.994177\pi\) |
−0.326362 | − | 0.945245i | \(-0.605823\pi\) | |||||||
\(522\) | −395397. | − | 1.21691e6i | −0.0635121 | − | 0.195470i | ||||
\(523\) | 691516. | + | 2.12827e6i | 0.110547 | + | 0.340229i | 0.990992 | − | 0.133919i | \(-0.0427561\pi\) |
−0.880445 | + | 0.474148i | \(0.842756\pi\) | |||||||
\(524\) | 2.20674e6 | + | 1.60329e6i | 0.351094 | + | 0.255084i | ||||
\(525\) | 2.56056e6 | − | 1.86036e6i | 0.405449 | − | 0.294576i | ||||
\(526\) | 1.84174e6 | − | 5.66829e6i | 0.290244 | − | 0.893280i | ||||
\(527\) | 1.09276e6 | 0.171395 | ||||||||
\(528\) | 4.31147e6 | + | 865872.i | 0.673040 | + | 0.135166i | ||||
\(529\) | 1.82138e6 | 0.282984 | ||||||||
\(530\) | −914330. | + | 2.81402e6i | −0.141388 | + | 0.435148i | ||||
\(531\) | −2.44860e6 | + | 1.77901e6i | −0.376862 | + | 0.273806i | ||||
\(532\) | −1.67305e6 | − | 1.21554e6i | −0.256289 | − | 0.186205i | ||||
\(533\) | 1.58113e6 | + | 4.86623e6i | 0.241074 | + | 0.741950i | ||||
\(534\) | 447280. | + | 1.37659e6i | 0.0678776 | + | 0.208906i | ||||
\(535\) | 1.92195e6 | + | 1.39638e6i | 0.290306 | + | 0.210920i | ||||
\(536\) | −1.24041e6 | + | 901212.i | −0.186489 | + | 0.135492i | ||||
\(537\) | 1.37004e6 | − | 4.21655e6i | 0.205021 | − | 0.630988i | ||||
\(538\) | 6.79065e6 | 1.01148 | ||||||||
\(539\) | −1.56656e6 | − | 1.70098e6i | −0.232261 | − | 0.252190i | ||||
\(540\) | −165302. | −0.0243946 | ||||||||
\(541\) | 448295. | − | 1.37971e6i | 0.0658523 | − | 0.202673i | −0.912716 | − | 0.408594i | \(-0.866019\pi\) |
0.978569 | + | 0.205922i | \(0.0660192\pi\) | |||||||
\(542\) | −1.74337e6 | + | 1.26663e6i | −0.254912 | + | 0.185205i | ||||
\(543\) | 4.04000e6 | + | 2.93523e6i | 0.588007 | + | 0.427212i | ||||
\(544\) | 802293. | + | 2.46920e6i | 0.116235 | + | 0.357734i | ||||
\(545\) | −1.03466e6 | − | 3.18435e6i | −0.149213 | − | 0.459229i | ||||
\(546\) | −2.14387e6 | − | 1.55761e6i | −0.307763 | − | 0.223603i | ||||
\(547\) | −866951. | + | 629877.i | −0.123887 | + | 0.0900093i | −0.648003 | − | 0.761637i | \(-0.724396\pi\) |
0.524116 | + | 0.851647i | \(0.324396\pi\) | |||||||
\(548\) | −782666. | + | 2.40880e6i | −0.111333 | + | 0.342649i | ||||
\(549\) | 1.65653e6 | 0.234568 | ||||||||
\(550\) | −4.02987e6 | − | 4.37565e6i | −0.568048 | − | 0.616788i | ||||
\(551\) | −4.24078e6 | −0.595068 | ||||||||
\(552\) | −1.20964e6 | + | 3.72289e6i | −0.168970 | + | 0.520035i | ||||
\(553\) | −5.77173e6 | + | 4.19340e6i | −0.802588 | + | 0.583115i | ||||
\(554\) | 8.65345e6 | + | 6.28710e6i | 1.19788 | + | 0.870313i | ||||
\(555\) | −946013. | − | 2.91153e6i | −0.130366 | − | 0.401226i | ||||
\(556\) | 694847. | + | 2.13852e6i | 0.0953240 | + | 0.293377i | ||||
\(557\) | 768386. | + | 558265.i | 0.104940 | + | 0.0762434i | 0.639018 | − | 0.769192i | \(-0.279341\pi\) |
−0.534078 | + | 0.845435i | \(0.679341\pi\) | |||||||
\(558\) | 500633. | − | 363731.i | 0.0680665 | − | 0.0494532i | ||||
\(559\) | −1.33042e6 | + | 4.09462e6i | −0.180078 | + | 0.554222i | ||||
\(560\) | 5.12202e6 | 0.690194 | ||||||||
\(561\) | −3.20734e6 | − | 644129.i | −0.430267 | − | 0.0864104i | ||||
\(562\) | 1.12389e6 | 0.150101 | ||||||||
\(563\) | 1.06534e6 | − | 3.27877e6i | 0.141650 | − | 0.435953i | −0.854915 | − | 0.518768i | \(-0.826391\pi\) |
0.996565 | + | 0.0828145i | \(0.0263909\pi\) | |||||||
\(564\) | 880334. | − | 639600.i | 0.116533 | − | 0.0846663i | ||||
\(565\) | 3.60615e6 | + | 2.62002e6i | 0.475250 | + | 0.345290i | ||||
\(566\) | −3.97818e6 | − | 1.22436e7i | −0.521968 | − | 1.60645i | ||||
\(567\) | −304587. | − | 937421.i | −0.0397881 | − | 0.122455i | ||||
\(568\) | −2.08200e6 | − | 1.51266e6i | −0.270776 | − | 0.196730i | ||||
\(569\) | −2.06773e6 | + | 1.50229e6i | −0.267740 | + | 0.194524i | −0.713552 | − | 0.700602i | \(-0.752915\pi\) |
0.445812 | + | 0.895126i | \(0.352915\pi\) | |||||||
\(570\) | −838337. | + | 2.58014e6i | −0.108077 | + | 0.332625i | ||||
\(571\) | −9.29638e6 | −1.19323 | −0.596614 | − | 0.802528i | \(-0.703488\pi\) | ||||
−0.596614 | + | 0.802528i | \(0.703488\pi\) | |||||||
\(572\) | −493078. | + | 876659.i | −0.0630123 | + | 0.112032i | ||||
\(573\) | −665712. | −0.0847033 | ||||||||
\(574\) | −4.85966e6 | + | 1.49565e7i | −0.615639 | + | 1.89474i | ||||
\(575\) | 5.44207e6 | − | 3.95390e6i | 0.686427 | − | 0.498719i | ||||
\(576\) | −1.36372e6 | − | 990803.i | −0.171266 | − | 0.124432i | ||||
\(577\) | 3.47832e6 | + | 1.07052e7i | 0.434941 | + | 1.33861i | 0.893147 | + | 0.449765i | \(0.148492\pi\) |
−0.458206 | + | 0.888846i | \(0.651508\pi\) | |||||||
\(578\) | 1.17305e6 | + | 3.61027e6i | 0.146048 | + | 0.449490i | ||||
\(579\) | −5.67876e6 | − | 4.12586e6i | −0.703974 | − | 0.511467i | ||||
\(580\) | −457629. | + | 332487.i | −0.0564864 | + | 0.0410398i | ||||
\(581\) | 1.04877e6 | − | 3.22780e6i | 0.128897 | − | 0.396703i | ||||
\(582\) | −9.63733e6 | −1.17937 | ||||||||
\(583\) | 774827. | + | 6.65152e6i | 0.0944133 | + | 0.810494i | ||||
\(584\) | −1.05816e7 | −1.28386 | ||||||||
\(585\) | −216942. | + | 667679.i | −0.0262092 | + | 0.0806637i | ||||
\(586\) | −3.76819e6 | + | 2.73775e6i | −0.453303 | + | 0.329344i | ||||
\(587\) | −5.08801e6 | − | 3.69666e6i | −0.609470 | − | 0.442806i | 0.239757 | − | 0.970833i | \(-0.422932\pi\) |
−0.849228 | + | 0.528027i | \(0.822932\pi\) | |||||||
\(588\) | −129769. | − | 399388.i | −0.0154785 | − | 0.0476378i | ||||
\(589\) | −633781. | − | 1.95058e6i | −0.0752750 | − | 0.231673i | ||||
\(590\) | 5.36028e6 | + | 3.89447e6i | 0.633954 | + | 0.460594i | ||||
\(591\) | 1.44083e6 | − | 1.04683e6i | 0.169685 | − | 0.123284i | ||||
\(592\) | −4.57032e6 | + | 1.40660e7i | −0.535972 | + | 1.64955i | ||||
\(593\) | 4.49257e6 | 0.524636 | 0.262318 | − | 0.964982i | \(-0.415513\pi\) | ||||
0.262318 | + | 0.964982i | \(0.415513\pi\) | |||||||
\(594\) | −1.68380e6 | + | 772482.i | −0.195805 | + | 0.0898302i | ||||
\(595\) | −3.81032e6 | −0.441234 | ||||||||
\(596\) | 1.01907e6 | − | 3.13637e6i | 0.117514 | − | 0.361670i | ||||
\(597\) | 546747. | − | 397235.i | 0.0627843 | − | 0.0456154i | ||||
\(598\) | −4.55646e6 | − | 3.31046e6i | −0.521044 | − | 0.378561i | ||||
\(599\) | −973092. | − | 2.99487e6i | −0.110812 | − | 0.341044i | 0.880239 | − | 0.474532i | \(-0.157383\pi\) |
−0.991051 | + | 0.133487i | \(0.957383\pi\) | |||||||
\(600\) | 985377. | + | 3.03268e6i | 0.111744 | + | 0.343913i | ||||
\(601\) | 829502. | + | 602669.i | 0.0936766 | + | 0.0680601i | 0.633638 | − | 0.773630i | \(-0.281561\pi\) |
−0.539961 | + | 0.841690i | \(0.681561\pi\) | |||||||
\(602\) | −1.07054e7 | + | 7.77790e6i | −1.20395 | + | 0.874724i | ||||
\(603\) | 253556. | − | 780366.i | 0.0283976 | − | 0.0873987i | ||||
\(604\) | 4.46609e6 | 0.498121 | ||||||||
\(605\) | 4.16014e6 | + | 1.74118e6i | 0.462082 | + | 0.193400i | ||||
\(606\) | −1.59480e6 | −0.176410 | ||||||||
\(607\) | 1.29514e6 | − | 3.98603e6i | 0.142674 | − | 0.439106i | −0.854031 | − | 0.520223i | \(-0.825849\pi\) |
0.996705 | + | 0.0811174i | \(0.0258489\pi\) | |||||||
\(608\) | 3.94222e6 | − | 2.86419e6i | 0.432496 | − | 0.314227i | ||||
\(609\) | −2.72876e6 | − | 1.98256e6i | −0.298141 | − | 0.216612i | ||||
\(610\) | −1.12060e6 | − | 3.44886e6i | −0.121935 | − | 0.375276i | ||||
\(611\) | −1.42809e6 | − | 4.39521e6i | −0.154758 | − | 0.476296i | ||||
\(612\) | −480622. | − | 349192.i | −0.0518711 | − | 0.0376865i | ||||
\(613\) | −2.81915e6 | + | 2.04823e6i | −0.303017 | + | 0.220155i | −0.728894 | − | 0.684626i | \(-0.759965\pi\) |
0.425877 | + | 0.904781i | \(0.359965\pi\) | |||||||
\(614\) | −534102. | + | 1.64380e6i | −0.0571746 | + | 0.175965i | ||||
\(615\) | 4.16624e6 | 0.444177 | ||||||||
\(616\) | 8.29400e6 | − | 3.80506e6i | 0.880668 | − | 0.404026i | ||||
\(617\) | 9.64129e6 | 1.01958 | 0.509791 | − | 0.860298i | \(-0.329723\pi\) | ||||
0.509791 | + | 0.860298i | \(0.329723\pi\) | |||||||
\(618\) | 2.70838e6 | − | 8.33555e6i | 0.285259 | − | 0.877936i | ||||
\(619\) | 6.46901e6 | − | 4.70001e6i | 0.678596 | − | 0.493029i | −0.194296 | − | 0.980943i | \(-0.562242\pi\) |
0.872891 | + | 0.487914i | \(0.162242\pi\) | |||||||
\(620\) | −221322. | − | 160800.i | −0.0231231 | − | 0.0167999i | ||||
\(621\) | −647351. | − | 1.99234e6i | −0.0673614 | − | 0.207317i | ||||
\(622\) | 1.86786e6 | + | 5.74868e6i | 0.193583 | + | 0.595788i | ||||
\(623\) | 3.08683e6 | + | 2.24271e6i | 0.318634 | + | 0.231501i | ||||
\(624\) | 2.74390e6 | − | 1.99356e6i | 0.282102 | − | 0.204959i | ||||
\(625\) | 936081. | − | 2.88096e6i | 0.0958547 | − | 0.295010i | ||||
\(626\) | 1.19816e7 | 1.22202 | ||||||||
\(627\) | 710428. | + | 6.09869e6i | 0.0721691 | + | 0.619538i | ||||
\(628\) | −1.83205e6 | −0.185370 | ||||||||
\(629\) | 3.39990e6 | − | 1.04638e7i | 0.342641 | − | 1.05454i | ||||
\(630\) | −1.74564e6 | + | 1.26828e6i | −0.175228 | + | 0.127311i | ||||
\(631\) | 9.40979e6 | + | 6.83661e6i | 0.940820 | + | 0.683545i | 0.948618 | − | 0.316424i | \(-0.102482\pi\) |
−0.00779821 | + | 0.999970i | \(0.502482\pi\) | |||||||
\(632\) | −2.22113e6 | − | 6.83592e6i | −0.221198 | − | 0.680776i | ||||
\(633\) | 1.77025e6 | + | 5.44828e6i | 0.175601 | + | 0.540443i | ||||
\(634\) | −6.47889e6 | − | 4.70719e6i | −0.640144 | − | 0.465091i | ||||
\(635\) | 3.40716e6 | − | 2.47544e6i | 0.335319 | − | 0.243623i | ||||
\(636\) | −375790. | + | 1.15656e6i | −0.0368385 | + | 0.113377i | ||||
\(637\) | −1.78350e6 | −0.174150 | ||||||||
\(638\) | −3.10775e6 | + | 5.52537e6i | −0.302270 | + | 0.537415i | ||||
\(639\) | 1.37723e6 | 0.133430 | ||||||||
\(640\) | −1.93403e6 | + | 5.95234e6i | −0.186644 | + | 0.574431i | ||||
\(641\) | −4.58812e6 | + | 3.33346e6i | −0.441052 | + | 0.320443i | −0.786053 | − | 0.618159i | \(-0.787879\pi\) |
0.345001 | + | 0.938602i | \(0.387879\pi\) | |||||||
\(642\) | 3.91153e6 | + | 2.84189e6i | 0.374550 | + | 0.272126i | ||||
\(643\) | −5.26772e6 | − | 1.62124e7i | −0.502453 | − | 1.54639i | −0.805010 | − | 0.593261i | \(-0.797840\pi\) |
0.302557 | − | 0.953131i | \(-0.402160\pi\) | |||||||
\(644\) | −1.08025e6 | − | 3.32468e6i | −0.102639 | − | 0.315889i | ||||
\(645\) | 2.83610e6 | + | 2.06055e6i | 0.268425 | + | 0.195022i | ||||
\(646\) | −7.88792e6 | + | 5.73091e6i | −0.743672 | + | 0.540309i | ||||
\(647\) | −3.30066e6 | + | 1.01584e7i | −0.309985 | + | 0.954035i | 0.667785 | + | 0.744354i | \(0.267243\pi\) |
−0.977770 | + | 0.209681i | \(0.932757\pi\) | |||||||
\(648\) | 993050. | 0.0929039 | ||||||||
\(649\) | 1.47018e7 | + | 2.95256e6i | 1.37012 | + | 0.275161i | ||||
\(650\) | −4.58792e6 | −0.425924 | ||||||||
\(651\) | 504082. | − | 1.55140e6i | 0.0466174 | − | 0.143474i | ||||
\(652\) | 3.89317e6 | − | 2.82855e6i | 0.358661 | − | 0.260583i | ||||
\(653\) | 1.34623e7 | + | 9.78096e6i | 1.23549 | + | 0.897633i | 0.997289 | − | 0.0735842i | \(-0.0234438\pi\) |
0.238197 | + | 0.971217i | \(0.423444\pi\) | |||||||
\(654\) | −2.10573e6 | − | 6.48077e6i | −0.192512 | − | 0.592491i | ||||
\(655\) | −2.91486e6 | − | 8.97101e6i | −0.265469 | − | 0.817030i | ||||
\(656\) | −1.62836e7 | − | 1.18307e7i | −1.47738 | − | 1.07338i | ||||
\(657\) | 4.58134e6 | − | 3.32854e6i | 0.414075 | − | 0.300843i | ||||
\(658\) | 4.38928e6 | − | 1.35088e7i | 0.395210 | − | 1.21633i | ||||
\(659\) | −8.20448e6 | −0.735932 | −0.367966 | − | 0.929839i | \(-0.619946\pi\) | ||||
−0.367966 | + | 0.929839i | \(0.619946\pi\) | |||||||
\(660\) | 554815. | + | 602420.i | 0.0495780 | + | 0.0538319i | ||||
\(661\) | 2.23539e7 | 1.98998 | 0.994991 | − | 0.0999688i | \(-0.0318743\pi\) | ||||
0.994991 | + | 0.0999688i | \(0.0318743\pi\) | |||||||
\(662\) | 2.53154e6 | − | 7.79127e6i | 0.224512 | − | 0.690977i | ||||
\(663\) | −2.04121e6 | + | 1.48303e6i | −0.180345 | + | 0.131028i | ||||
\(664\) | 2.76631e6 | + | 2.00984e6i | 0.243489 | + | 0.176905i | ||||
\(665\) | 2.20992e6 | + | 6.80142e6i | 0.193786 | + | 0.596411i | ||||
\(666\) | −1.92532e6 | − | 5.92553e6i | −0.168197 | − | 0.517656i | ||||
\(667\) | −5.79955e6 | − | 4.21362e6i | −0.504754 | − | 0.366725i | ||||
\(668\) | −1.70610e6 | + | 1.23955e6i | −0.147932 | + | 0.107479i | ||||
\(669\) | 1.29889e6 | − | 3.99757e6i | 0.112204 | − | 0.345327i | ||||
\(670\) | −1.79623e6 | −0.154588 | ||||||||
\(671\) | −5.55995e6 | − | 6.03701e6i | −0.476721 | − | 0.517625i | ||||
\(672\) | 3.87565e6 | 0.331071 | ||||||||
\(673\) | 1.25557e6 | − | 3.86426e6i | 0.106857 | − | 0.328873i | −0.883304 | − | 0.468800i | \(-0.844687\pi\) |
0.990162 | + | 0.139926i | \(0.0446866\pi\) | |||||||
\(674\) | −7.33895e6 | + | 5.33206e6i | −0.622277 | + | 0.452111i | ||||
\(675\) | −1.38058e6 | − | 1.00305e6i | −0.116628 | − | 0.0847350i | ||||
\(676\) | −689364. | − | 2.12164e6i | −0.0580206 | − | 0.178569i | ||||
\(677\) | 951919. | + | 2.92971e6i | 0.0798231 | + | 0.245670i | 0.983002 | − | 0.183594i | \(-0.0587731\pi\) |
−0.903179 | + | 0.429264i | \(0.858773\pi\) | |||||||
\(678\) | 7.33921e6 | + | 5.33225e6i | 0.613162 | + | 0.445488i | ||||
\(679\) | −2.05528e7 | + | 1.49325e7i | −1.71079 | + | 1.24296i | ||||
\(680\) | 1.18628e6 | − | 3.65098e6i | 0.0983816 | − | 0.302787i | ||||
\(681\) | −3.91794e6 | −0.323735 | ||||||||
\(682\) | −3.00588e6 | − | 603671.i | −0.247463 | − | 0.0496980i | ||||
\(683\) | −1.98040e7 | −1.62443 | −0.812215 | − | 0.583358i | \(-0.801738\pi\) | ||||
−0.812215 | + | 0.583358i | \(0.801738\pi\) | |||||||
\(684\) | −344557. | + | 1.06044e6i | −0.0281592 | + | 0.0866651i | ||||
\(685\) | 7.08587e6 | − | 5.14819e6i | 0.576988 | − | 0.419206i | ||||
\(686\) | 8.50024e6 | + | 6.17579e6i | 0.689638 | + | 0.501051i | ||||
\(687\) | −1.76417e6 | − | 5.42956e6i | −0.142610 | − | 0.438907i | ||||
\(688\) | −5.23355e6 | − | 1.61072e7i | −0.421527 | − | 1.29733i | ||||
\(689\) | 4.17835e6 | + | 3.03575e6i | 0.335318 | + | 0.243623i | ||||
\(690\) | −3.71009e6 | + | 2.69554e6i | −0.296662 | + | 0.215538i | ||||
\(691\) | 2.14688e6 | − | 6.60742e6i | 0.171046 | − | 0.526425i | −0.828385 | − | 0.560159i | \(-0.810740\pi\) |
0.999431 | + | 0.0337340i | \(0.0107399\pi\) | |||||||
\(692\) | −3.63335e6 | −0.288431 | ||||||||
\(693\) | −2.39400e6 | + | 4.25637e6i | −0.189361 | + | 0.336671i | ||||
\(694\) | 1.61299e7 | 1.27125 | ||||||||
\(695\) | 2.40287e6 | − | 7.39528e6i | 0.188699 | − | 0.580755i | ||||
\(696\) | 2.74921e6 | − | 1.99742e6i | 0.215122 | − | 0.156295i | ||||
\(697\) | 1.21135e7 | + | 8.80098e6i | 0.944470 | + | 0.686198i | ||||
\(698\) | 2.93594e6 | + | 9.03589e6i | 0.228091 | + | 0.701993i | ||||
\(699\) | 2.97493e6 | + | 9.15591e6i | 0.230295 | + | 0.708775i | ||||
\(700\) | −2.30381e6 | − | 1.67382e6i | −0.177706 | − | 0.129111i | ||||
\(701\) | 129661. | − | 94204.5i | 0.00996587 | − | 0.00724063i | −0.582791 | − | 0.812622i | \(-0.698039\pi\) |
0.592757 | + | 0.805381i | \(0.298039\pi\) | |||||||
\(702\) | −441519. | + | 1.35886e6i | −0.0338148 | + | 0.104071i | ||||
\(703\) | −2.06498e7 | −1.57590 | ||||||||
\(704\) | 966322. | + | 8.29542e6i | 0.0734836 | + | 0.630822i | ||||
\(705\) | −3.76297e6 | −0.285140 | ||||||||
\(706\) | −2.54654e6 | + | 7.83744e6i | −0.192282 | + | 0.591783i | ||||
\(707\) | −3.40111e6 | + | 2.47105e6i | −0.255901 | + | 0.185923i | ||||
\(708\) | 2.20308e6 | + | 1.60063e6i | 0.165176 | + | 0.120007i | ||||
\(709\) | −993823. | − | 3.05867e6i | −0.0742495 | − | 0.228516i | 0.907043 | − | 0.421037i | \(-0.138334\pi\) |
−0.981293 | + | 0.192521i | \(0.938334\pi\) | |||||||
\(710\) | −931662. | − | 2.86736e6i | −0.0693606 | − | 0.213470i | ||||
\(711\) | 3.11195e6 | + | 2.26096e6i | 0.230865 | + | 0.167733i | ||||
\(712\) | −3.10996e6 | + | 2.25952e6i | −0.229908 | + | 0.167038i | ||||
\(713\) | 1.07135e6 | − | 3.29727e6i | 0.0789235 | − | 0.242902i | ||||
\(714\) | −7.75473e6 | −0.569274 | ||||||||
\(715\) | 3.16141e6 | − | 1.45037e6i | 0.231268 | − | 0.106099i | ||||
\(716\) | −3.98898e6 | −0.290790 | ||||||||
\(717\) | −4.21530e6 | + | 1.29734e7i | −0.306218 | + | 0.942441i | ||||
\(718\) | −7.36604e6 | + | 5.35174e6i | −0.533241 | + | 0.387422i | ||||
\(719\) | 1.60053e7 | + | 1.16285e7i | 1.15463 | + | 0.838886i | 0.989089 | − | 0.147318i | \(-0.0470640\pi\) |
0.165538 | + | 0.986203i | \(0.447064\pi\) | |||||||
\(720\) | −853396. | − | 2.62648e6i | −0.0613506 | − | 0.188818i | ||||
\(721\) | −7.13949e6 | − | 2.19731e7i | −0.511480 | − | 1.57417i | ||||
\(722\) | 2.11971e6 | + | 1.54006e6i | 0.151333 | + | 0.109950i | ||||
\(723\) | 1.78984e6 | − | 1.30039e6i | 0.127341 | − | 0.0925185i | ||||
\(724\) | 1.38841e6 | − | 4.27309e6i | 0.0984400 | − | 0.302967i | ||||
\(725\) | −5.83959e6 | −0.412608 | ||||||||
\(726\) | 8.46669e6 | + | 3.54365e6i | 0.596172 | + | 0.249522i | ||||
\(727\) | 1.50612e7 | 1.05687 | 0.528437 | − | 0.848973i | \(-0.322778\pi\) | ||||
0.528437 | + | 0.848973i | \(0.322778\pi\) | |||||||
\(728\) | 2.17482e6 | − | 6.69340e6i | 0.152088 | − | 0.468078i | ||||
\(729\) | −429945. | + | 312373.i | −0.0299636 | + | 0.0217698i | ||||
\(730\) | −1.00291e7 | − | 7.28657e6i | −0.696554 | − | 0.506076i | ||||
\(731\) | 3.89328e6 | + | 1.19823e7i | 0.269477 | + | 0.829366i | ||||
\(732\) | −460568. | − | 1.41748e6i | −0.0317699 | − | 0.0977777i | ||||
\(733\) | −1.57604e7 | − | 1.14506e7i | −1.08345 | − | 0.787172i | −0.105168 | − | 0.994454i | \(-0.533538\pi\) |
−0.978281 | + | 0.207283i | \(0.933538\pi\) | |||||||
\(734\) | −1.98510e7 | + | 1.44226e7i | −1.36001 | + | 0.988103i | ||||
\(735\) | −448758. | + | 1.38114e6i | −0.0306404 | + | 0.0943013i | ||||
\(736\) | 8.23710e6 | 0.560505 | ||||||||
\(737\) | −3.69497e6 | + | 1.69515e6i | −0.250578 | + | 0.114958i | ||||
\(738\) | 8.47910e6 | 0.573071 | ||||||||
\(739\) | 774808. | − | 2.38461e6i | 0.0521895 | − | 0.160623i | −0.921565 | − | 0.388225i | \(-0.873088\pi\) |
0.973754 | + | 0.227602i | \(0.0730885\pi\) | |||||||
\(740\) | −2.22835e6 | + | 1.61899e6i | −0.149591 | + | 0.108684i | ||||
\(741\) | 3.83107e6 | + | 2.78343e6i | 0.256315 | + | 0.186224i | ||||
\(742\) | 4.90531e6 | + | 1.50970e7i | 0.327082 | + | 1.00665i | ||||
\(743\) | 8.22437e6 | + | 2.53120e7i | 0.546551 | + | 1.68211i | 0.717273 | + | 0.696792i | \(0.245390\pi\) |
−0.170722 | + | 0.985319i | \(0.554610\pi\) | |||||||
\(744\) | 1.32959e6 | + | 966006.i | 0.0880616 | + | 0.0639805i | ||||
\(745\) | −9.22615e6 | + | 6.70319e6i | −0.609017 | + | 0.442477i | ||||
\(746\) | 4.78711e6 | − | 1.47332e7i | 0.314939 | − | 0.969283i | ||||
\(747\) | −1.82990e6 | −0.119984 | ||||||||
\(748\) | 340565. | + | 2.92359e6i | 0.0222559 | + | 0.191057i | ||||
\(749\) | 1.27452e7 | 0.830122 | ||||||||
\(750\) | −2.69549e6 | + | 8.29588e6i | −0.174979 | + | 0.538529i | ||||
\(751\) | 28986.6 | − | 21060.0i | 0.00187542 | − | 0.00136257i | −0.586847 | − | 0.809698i | \(-0.699631\pi\) |
0.588723 | + | 0.808335i | \(0.299631\pi\) | |||||||
\(752\) | 1.47075e7 | + | 1.06856e7i | 0.948404 | + | 0.689056i | ||||
\(753\) | −1.91847e6 | − | 5.90445e6i | −0.123301 | − | 0.379483i | ||||
\(754\) | 1.51087e6 | + | 4.64999e6i | 0.0967832 | + | 0.297868i | ||||
\(755\) | −1.24947e7 | − | 9.07794e6i | −0.797735 | − | 0.579589i | ||||
\(756\) | −717460. | + | 521265.i | −0.0456555 | + | 0.0331707i | ||||
\(757\) | −3.77488e6 | + | 1.16179e7i | −0.239422 | + | 0.736864i | 0.757082 | + | 0.653320i | \(0.226624\pi\) |
−0.996504 | + | 0.0835449i | \(0.973376\pi\) | |||||||
\(758\) | 1.70395e7 | 1.07717 | ||||||||
\(759\) | −5.08808e6 | + | 9.04625e6i | −0.320589 | + | 0.569986i | ||||
\(760\) | −7.20503e6 | −0.452483 | ||||||||
\(761\) | 27516.8 | − | 84687.9i | 0.00172241 | − | 0.00530102i | −0.950192 | − | 0.311666i | \(-0.899113\pi\) |
0.951914 | + | 0.306365i | \(0.0991129\pi\) | |||||||
\(762\) | 6.93422e6 | − | 5.03801e6i | 0.432624 | − | 0.314320i | ||||
\(763\) | −1.45323e7 | − | 1.05583e7i | −0.903698 | − | 0.656575i | ||||
\(764\) | 185089. | + | 569646.i | 0.0114722 | + | 0.0353079i | ||||
\(765\) | 634848. | + | 1.95386e6i | 0.0392208 | + | 0.120709i | ||||
\(766\) | 9.08936e6 | + | 6.60381e6i | 0.559708 | + | 0.406652i | ||||
\(767\) | 9.35651e6 | − | 6.79790e6i | 0.574282 | − | 0.417240i | ||||
\(768\) | −2.08406e6 | + | 6.41407e6i | −0.127499 | + | 0.392401i | ||||
\(769\) | 2.03342e7 | 1.23997 | 0.619985 | − | 0.784613i | \(-0.287139\pi\) | ||||
0.619985 | + | 0.784613i | \(0.287139\pi\) | |||||||
\(770\) | 1.04811e7 | + | 2.10493e6i | 0.637062 | + | 0.127941i | ||||
\(771\) | −1.10327e7 | −0.668412 | ||||||||
\(772\) | −1.95159e6 | + | 6.00639e6i | −0.117855 | + | 0.362719i | ||||
\(773\) | −1.86967e7 | + | 1.35839e7i | −1.12542 | + | 0.817668i | −0.985022 | − | 0.172427i | \(-0.944839\pi\) |
−0.140401 | + | 0.990095i | \(0.544839\pi\) | |||||||
\(774\) | 5.77202e6 | + | 4.19362e6i | 0.346318 | + | 0.251615i | ||||
\(775\) | −872722. | − | 2.68596e6i | −0.0521941 | − | 0.160637i | ||||
\(776\) | −7.90931e6 | − | 2.43424e7i | −0.471503 | − | 1.45114i | ||||
\(777\) | −1.32873e7 | − | 9.65376e6i | −0.789556 | − | 0.573646i | ||||
\(778\) | 1.32583e7 | − | 9.63274e6i | 0.785308 | − | 0.570559i | ||||
\(779\) | 8.68415e6 | − | 2.67271e7i | 0.512724 | − | 1.57800i | ||||
\(780\) | 631645. | 0.0371738 | ||||||||
\(781\) | −4.62251e6 | − | 5.01914e6i | −0.271175 | − | 0.294443i | ||||
\(782\) | −1.64815e7 | −0.963783 | ||||||||
\(783\) | −561974. | + | 1.72958e6i | −0.0327576 | + | 0.100818i | ||||
\(784\) | 5.67593e6 | − | 4.12380e6i | 0.329797 | − | 0.239611i | ||||
\(785\) | 5.12551e6 | + | 3.72390e6i | 0.296868 | + | 0.215687i | ||||
\(786\) | −5.93230e6 | − | 1.82577e7i | −0.342505 | − | 1.05412i | ||||
\(787\) | 3.05947e6 | + | 9.41609e6i | 0.176080 | + | 0.541918i | 0.999681 | − | 0.0252511i | \(-0.00803854\pi\) |
−0.823601 | + | 0.567169i | \(0.808039\pi\) | |||||||
\(788\) | −1.29636e6 | − | 941859.i | −0.0743720 | − | 0.0540344i | ||||
\(789\) | −6.85310e6 | + | 4.97907e6i | −0.391917 | + | 0.284744i | ||||
\(790\) | 2.60212e6 | − | 8.00849e6i | 0.148340 | − | 0.456544i | ||||
\(791\) | 2.39138e7 | 1.35896 | ||||||||
\(792\) | −3.33305e6 | − | 3.61904e6i | −0.188812 | − | 0.205013i | ||||
\(793\) | −6.32988e6 | −0.357447 | ||||||||
\(794\) | 9.63992e6 | − | 2.96686e7i | 0.542653 | − | 1.67011i | ||||
\(795\) | 3.40222e6 | − | 2.47186e6i | 0.190917 | − | 0.138709i | ||||
\(796\) | −491924. | − | 357404.i | −0.0275179 | − | 0.0199929i | ||||
\(797\) | −3.11868e6 | − | 9.59830e6i | −0.173910 | − | 0.535240i | 0.825672 | − | 0.564150i | \(-0.190796\pi\) |
−0.999582 | + | 0.0289106i | \(0.990796\pi\) | |||||||
\(798\) | 4.49761e6 | + | 1.38422e7i | 0.250020 | + | 0.769482i | ||||
\(799\) | −1.09410e7 | − | 7.94911e6i | −0.606304 | − | 0.440506i | ||||
\(800\) | 5.42847e6 | − | 3.94402e6i | 0.299884 | − | 0.217878i | ||||
\(801\) | 635716. | − | 1.95653e6i | 0.0350092 | − | 0.107747i | ||||
\(802\) | −1.05843e7 | −0.581066 | ||||||||
\(803\) | −2.75071e7 | − | 5.52425e6i | −1.50542 | − | 0.302332i | ||||
\(804\) | −738250. | −0.0402776 | ||||||||
\(805\) | −3.73566e6 | + | 1.14972e7i | −0.203178 | + | 0.625318i | ||||
\(806\) | −1.91300e6 | + | 1.38988e6i | −0.103723 | + | 0.0753595i | ||||
\(807\) | −7.80822e6 | − | 5.67301e6i | −0.422054 | − | 0.306640i | ||||
\(808\) | −1.30884e6 | − | 4.02820e6i | −0.0705276 | − | 0.217062i | ||||
\(809\) | −6.45089e6 | − | 1.98538e7i | −0.346536 | − | 1.06653i | −0.960756 | − | 0.277394i | \(-0.910529\pi\) |
0.614220 | − | 0.789135i | \(-0.289471\pi\) | |||||||
\(810\) | 941201. | + | 683822.i | 0.0504046 | + | 0.0366211i | ||||
\(811\) | −5.54886e6 | + | 4.03148e6i | −0.296245 | + | 0.215235i | −0.725972 | − | 0.687724i | \(-0.758610\pi\) |
0.429727 | + | 0.902959i | \(0.358610\pi\) | |||||||
\(812\) | −937781. | + | 2.88619e6i | −0.0499128 | + | 0.153616i | ||||
\(813\) | 3.06278e6 | 0.162513 | ||||||||
\(814\) | −1.51327e7 | + | 2.69049e7i | −0.800489 | + | 1.42321i | ||||
\(815\) | −1.66413e7 | −0.877593 | ||||||||
\(816\) | 3.06704e6 | − | 9.43937e6i | 0.161248 | − | 0.496269i | ||||
\(817\) | 1.91304e7 | − | 1.38990e7i | 1.00269 | − | 0.728499i | ||||
\(818\) | 6.35204e6 | + | 4.61502e6i | 0.331917 | + | 0.241152i | ||||
\(819\) | 1.16388e6 | + | 3.58204e6i | 0.0606313 | + | 0.186604i | ||||
\(820\) | −1.15834e6 | − | 3.56502e6i | −0.0601594 | − | 0.185151i | ||||
\(821\) | 2.22188e7 | + | 1.61429e7i | 1.15044 | + | 0.835842i | 0.988539 | − | 0.150966i | \(-0.0482384\pi\) |
0.161898 | + | 0.986807i | \(0.448238\pi\) | |||||||
\(822\) | 1.44211e7 | − | 1.04776e7i | 0.744423 | − | 0.540855i | ||||
\(823\) | −6.86523e6 | + | 2.11290e7i | −0.353310 | + | 1.08737i | 0.603674 | + | 0.797232i | \(0.293703\pi\) |
−0.956983 | + | 0.290143i | \(0.906297\pi\) | |||||||
\(824\) | 2.32770e7 | 1.19429 | ||||||||
\(825\) | 978267. | + | 8.39796e6i | 0.0500406 | + | 0.429575i | ||||
\(826\) | 3.55462e7 | 1.81277 | ||||||||
\(827\) | −4.78793e6 | + | 1.47357e7i | −0.243435 | + | 0.749217i | 0.752454 | + | 0.658644i | \(0.228870\pi\) |
−0.995890 | + | 0.0905729i | \(0.971130\pi\) | |||||||
\(828\) | −1.52485e6 | + | 1.10787e6i | −0.0772950 | + | 0.0561581i | ||||
\(829\) | −1.35112e7 | − | 9.81643e6i | −0.682820 | − | 0.496098i | 0.191472 | − | 0.981498i | \(-0.438674\pi\) |
−0.874292 | + | 0.485400i | \(0.838674\pi\) | |||||||
\(830\) | 1.23788e6 | + | 3.80980e6i | 0.0623710 | + | 0.191958i | ||||
\(831\) | −4.69783e6 | − | 1.44584e7i | −0.235991 | − | 0.726305i | ||||
\(832\) | 5.21101e6 | + | 3.78602e6i | 0.260984 | + | 0.189616i | ||||
\(833\) | −4.22237e6 | + | 3.06773e6i | −0.210835 | + | 0.153181i | ||||
\(834\) | 4.89031e6 | − | 1.50508e7i | 0.243457 | − | 0.749282i | ||||
\(835\) | 7.29268e6 | 0.361969 | ||||||||
\(836\) | 5.02109e6 | − | 2.30354e6i | 0.248475 | − | 0.113993i | ||||
\(837\) | −879519. | −0.0433942 | ||||||||
\(838\) | −373809. | + | 1.15047e6i | −0.0183882 | + | 0.0565931i | ||||
\(839\) | 1.11806e7 | − | 8.12317e6i | 0.548352 | − | 0.398401i | −0.278825 | − | 0.960342i | \(-0.589945\pi\) |
0.827178 | + | 0.561940i | \(0.189945\pi\) | |||||||
\(840\) | −4.63613e6 | − | 3.36834e6i | −0.226703 | − | 0.164709i | ||||
\(841\) | −4.41522e6 | − | 1.35887e7i | −0.215260 | − | 0.662501i | ||||
\(842\) | 4.32018e6 | + | 1.32962e7i | 0.210001 | + | 0.646317i | ||||
\(843\) | −1.29230e6 | − | 938914.i | −0.0626319 | − | 0.0455048i | ||||
\(844\) | 4.16987e6 | − | 3.02959e6i | 0.201496 | − | 0.146395i | ||||
\(845\) | −2.38391e6 | + | 7.33692e6i | −0.114855 | + | 0.353486i | ||||
\(846\) | −7.65838e6 | −0.367884 | ||||||||
\(847\) | 2.35470e7 | − | 5.56137e6i | 1.12778 | − | 0.266363i | ||||
\(848\) | −2.03167e7 | −0.970206 | ||||||||
\(849\) | −5.65416e6 | + | 1.74017e7i | −0.269215 | + | 0.828558i | ||||
\(850\) | −1.08617e7 | + | 7.89152e6i | −0.515647 | + | 0.374639i | ||||
\(851\) | −2.82400e7 | − | 2.05176e7i | −1.33672 | − | 0.971185i | ||||
\(852\) | −382913. | − | 1.17849e6i | −0.0180718 | − | 0.0556193i | ||||
\(853\) | 2.02747e6 | + | 6.23991e6i | 0.0954073 | + | 0.293634i | 0.987360 | − | 0.158496i | \(-0.0506645\pi\) |
−0.891952 | + | 0.452129i | \(0.850664\pi\) | |||||||
\(854\) | −1.57395e7 | − | 1.14354e7i | −0.738491 | − | 0.536545i | ||||
\(855\) | 3.11945e6 | − | 2.26641e6i | 0.145936 | − | 0.106029i | ||||
\(856\) | −3.96800e6 | + | 1.22122e7i | −0.185092 | + | 0.569654i | ||||
\(857\) | 1.36240e7 | 0.633655 | 0.316827 | − | 0.948483i | \(-0.397382\pi\) | ||||
0.316827 | + | 0.948483i | \(0.397382\pi\) | |||||||
\(858\) | 6.43408e6 | − | 2.95178e6i | 0.298379 | − | 0.136888i | ||||
\(859\) | 1.77958e7 | 0.822875 | 0.411437 | − | 0.911438i | \(-0.365027\pi\) | ||||
0.411437 | + | 0.911438i | \(0.365027\pi\) | |||||||
\(860\) | 974672. | − | 2.99973e6i | 0.0449379 | − | 0.138305i | ||||
\(861\) | 1.80827e7 | − | 1.31379e7i | 0.831297 | − | 0.603973i | ||||
\(862\) | −1.51778e7 | − | 1.10273e7i | −0.695732 | − | 0.505479i | ||||
\(863\) | 6.33321e6 | + | 1.94916e7i | 0.289466 | + | 0.890884i | 0.985024 | + | 0.172415i | \(0.0551569\pi\) |
−0.695559 | + | 0.718469i | \(0.744843\pi\) | |||||||
\(864\) | −645734. | − | 1.98737e6i | −0.0294286 | − | 0.0905719i | ||||
\(865\) | 1.01650e7 | + | 7.38528e6i | 0.461919 | + | 0.335604i | ||||
\(866\) | −2.67735e7 | + | 1.94521e7i | −1.21314 | + | 0.881395i | ||||
\(867\) | 1.66725e6 | − | 5.13125e6i | 0.0753272 | − | 0.231833i | ||||
\(868\) | −1.46768e6 | −0.0661197 | ||||||||
\(869\) | −2.20510e6 | − | 1.89297e7i | −0.0990555 | − | 0.850345i | ||||
\(870\) | 3.98110e6 | 0.178322 | ||||||||
\(871\) | −968880. | + | 2.98191e6i | −0.0432737 | + | 0.133183i | ||||
\(872\) | 1.46412e7 | − | 1.06375e7i | 0.652058 | − | 0.473748i | ||||
\(873\) | 1.10815e7 | + | 8.05117e6i | 0.492110 | + | 0.357539i | ||||
\(874\) | 9.55896e6 | + | 2.94195e7i | 0.423284 | + | 1.30274i | ||||
\(875\) | 7.10551e6 | + | 2.18685e7i | 0.313744 | + | 0.965604i | ||||
\(876\) | −4.12196e6 | − | 2.99478e6i | −0.181486 | − | 0.131857i | ||||
\(877\) | −499927. | + | 363218.i | −0.0219486 | + | 0.0159466i | −0.598705 | − | 0.800969i | \(-0.704318\pi\) |
0.576757 | + | 0.816916i | \(0.304318\pi\) | |||||||
\(878\) | 1.09999e7 | − | 3.38542e7i | 0.481563 | − | 1.48210i | ||||
\(879\) | 6.62000e6 | 0.288992 | ||||||||
\(880\) | −6.70755e6 | + | 1.19256e7i | −0.291983 | + | 0.519125i | ||||
\(881\) | −2.54436e7 | −1.10443 | −0.552215 | − | 0.833702i | \(-0.686217\pi\) | ||||
−0.552215 | + | 0.833702i | \(0.686217\pi\) | |||||||
\(882\) | −913310. | + | 2.81088e6i | −0.0395318 | + | 0.121666i | ||||
\(883\) | −1.41673e7 | + | 1.02931e7i | −0.611483 | + | 0.444269i | −0.849936 | − | 0.526885i | \(-0.823360\pi\) |
0.238453 | + | 0.971154i | \(0.423360\pi\) | |||||||
\(884\) | 1.83654e6 | + | 1.33432e6i | 0.0790439 | + | 0.0574288i | ||||
\(885\) | −2.91002e6 | − | 8.95612e6i | −0.124893 | − | 0.384381i | ||||
\(886\) | 1.25436e7 | + | 3.86053e7i | 0.536832 | + | 1.65220i | ||||
\(887\) | 9.27426e6 | + | 6.73814e6i | 0.395795 | + | 0.287562i | 0.767826 | − | 0.640658i | \(-0.221339\pi\) |
−0.372031 | + | 0.928220i | \(0.621339\pi\) | |||||||
\(888\) | 1.33868e7 | − | 9.72611e6i | 0.569699 | − | 0.413911i | ||||
\(889\) | 6.98200e6 | − | 2.14884e7i | 0.296296 | − | 0.911904i | ||||
\(890\) | −4.50351e6 | −0.190579 | ||||||||
\(891\) | 2.58146e6 | + | 518434.i | 0.108936 | + | 0.0218776i | ||||
\(892\) | −3.78183e6 | −0.159144 | ||||||||
\(893\) | −7.84358e6 | + | 2.41401e7i | −0.329144 | + | 1.01300i | ||||
\(894\) | −1.87770e7 | + | 1.36423e7i | −0.785746 | + | 0.570878i | ||||
\(895\) | 1.11599e7 | + | 8.10816e6i | 0.465697 | + | 0.338349i | ||||
\(896\) | 1.03759e7 | + | 3.19338e7i | 0.431774 | + | 1.32886i | ||||
\(897\) | 2.47364e6 | + | 7.61307e6i | 0.102649 | + | 0.315921i | ||||
\(898\) | −1.46567e7 | − | 1.06487e7i | −0.606519 | − | 0.440662i | ||||
\(899\) | −2.43490e6 | + | 1.76906e6i | −0.100481 | + | 0.0730035i | ||||
\(900\) | −474458. | + | 1.46023e6i | −0.0195250 | + | 0.0600918i | ||||
\(901\) | 1.51138e7 | 0.620242 | ||||||||
\(902\) | −2.84591e7 | − | 3.09010e7i | −1.16467 | − | 1.26461i | ||||
\(903\) | 1.88073e7 | 0.767552 | ||||||||
\(904\) | −7.44516e6 | + | 2.29138e7i | −0.303007 | + | 0.932560i | ||||
\(905\) | −1.25700e7 | + | 9.13263e6i | −0.510168 | + | 0.370659i | ||||
\(906\) | −2.54292e7 | − | 1.84754e7i | −1.02923 | − | 0.747778i | ||||
\(907\) | −2.10432e6 | − | 6.47643e6i | −0.0849363 | − | 0.261407i | 0.899564 | − | 0.436788i | \(-0.143884\pi\) |
−0.984501 | + | 0.175381i | \(0.943884\pi\) | |||||||
\(908\) | 1.08931e6 | + | 3.35255e6i | 0.0438467 | + | 0.134946i | ||||
\(909\) | 1.83378e6 | + | 1.33232e6i | 0.0736100 | + | 0.0534808i | ||||
\(910\) | 6.67039e6 | − | 4.84632e6i | 0.267023 | − | 0.194003i | ||||
\(911\) | −1.20648e7 | + | 3.71315e7i | −0.481640 | + | 1.48234i | 0.355149 | + | 0.934810i | \(0.384430\pi\) |
−0.836789 | + | 0.547526i | \(0.815570\pi\) | |||||||
\(912\) | −1.86281e7 | −0.741621 | ||||||||
\(913\) | 6.14182e6 | + | 6.66881e6i | 0.243849 | + | 0.264772i | ||||
\(914\) | 2.00443e7 | 0.793642 | ||||||||
\(915\) | −1.59270e6 | + | 4.90184e6i | −0.0628901 | + | 0.193556i | ||||
\(916\) | −4.15554e6 | + | 3.01918e6i | −0.163640 | + | 0.118891i | ||||
\(917\) | −4.09407e7 | − | 2.97452e7i | −1.60780 | − | 1.16814i | ||||
\(918\) | 1.29204e6 | + | 3.97649e6i | 0.0506021 | + | 0.155737i | ||||
\(919\) | 1.42616e6 | + | 4.38926e6i | 0.0557030 | + | 0.171436i | 0.975037 | − | 0.222041i | \(-0.0712720\pi\) |
−0.919334 | + | 0.393477i | \(0.871272\pi\) | |||||||
\(920\) | −9.85337e6 | − | 7.15889e6i | −0.383809 | − | 0.278854i | ||||
\(921\) | 1.98739e6 | − | 1.44392e6i | 0.0772029 | − | 0.0560912i | ||||
\(922\) | 7.00742e6 | − | 2.15666e7i | 0.271476 | − | 0.835516i | ||||
\(923\) | −5.26262e6 | −0.203328 | ||||||||
\(924\) | 4.30775e6 | + | 865125.i | 0.165986 | + | 0.0333349i | ||||
\(925\) | −2.84350e7 | −1.09269 | ||||||||
\(926\) | 3.15029e6 | − | 9.69560e6i | 0.120732 | − | 0.371576i | ||||
\(927\) | −1.00779e7 | + | 7.32200e6i | −0.385185 | + | 0.279853i | ||||
\(928\) | −5.78506e6 | − | 4.20309e6i | −0.220515 | − | 0.160214i | ||||
\(929\) | −9.56499e6 | − | 2.94380e7i | −0.363618 | − | 1.11910i | −0.950842 | − | 0.309677i | \(-0.899779\pi\) |
0.587224 | − | 0.809425i | \(-0.300221\pi\) | |||||||
\(930\) | 594973. | + | 1.83114e6i | 0.0225574 | + | 0.0694246i | ||||
\(931\) | 7.92480e6 | + | 5.75771e6i | 0.299650 | + | 0.217708i | ||||
\(932\) | 7.00752e6 | − | 5.09126e6i | 0.264256 | − | 0.191993i | ||||
\(933\) | 2.65477e6 | − | 8.17055e6i | 0.0998443 | − | 0.307289i | ||||
\(934\) | −4.46868e7 | −1.67615 | ||||||||
\(935\) | 4.98980e6 | − | 8.87152e6i | 0.186661 | − | 0.331871i | ||||
\(936\) | −3.79461e6 | −0.141572 | ||||||||
\(937\) | −8.67714e6 | + | 2.67055e7i | −0.322870 | + | 0.993692i | 0.649523 | + | 0.760342i | \(0.274969\pi\) |
−0.972393 | + | 0.233350i | \(0.925031\pi\) | |||||||
\(938\) | −7.79618e6 | + | 5.66426e6i | −0.289318 | + | 0.210202i | ||||
\(939\) | −1.37770e7 | − | 1.00096e7i | −0.509907 | − | 0.370469i | ||||
\(940\) | 1.04623e6 | + | 3.21995e6i | 0.0386194 | + | 0.118858i | ||||
\(941\) | 2.33704e6 | + | 7.19266e6i | 0.0860382 | + | 0.264798i | 0.984815 | − | 0.173609i | \(-0.0555428\pi\) |
−0.898776 | + | 0.438407i | \(0.855543\pi\) | |||||||
\(942\) | 1.04314e7 | + | 7.57886e6i | 0.383015 | + | 0.278277i | ||||
\(943\) | 3.84320e7 | − | 2.79225e7i | 1.40739 | − | 1.02253i | ||||
\(944\) | −1.40587e7 | + | 4.32682e7i | −0.513470 | + | 1.58030i | ||||
\(945\) | 3.06677e6 | 0.111713 | ||||||||
\(946\) | −4.09000e6 | − | 3.51108e7i | −0.148592 | − | 1.27559i | ||||
\(947\) | 2.89705e7 | 1.04974 | 0.524870 | − | 0.851183i | \(-0.324114\pi\) | ||||
0.524870 | + | 0.851183i | \(0.324114\pi\) | |||||||
\(948\) | 1.06947e6 | − | 3.29149e6i | 0.0386499 | − | 0.118952i | ||||
\(949\) | −1.75060e7 | + | 1.27189e7i | −0.630990 | + | 0.458441i | ||||
\(950\) | 2.03860e7 | + | 1.48113e7i | 0.732863 | + | 0.532456i | ||||
\(951\) | 3.51729e6 | + | 1.08251e7i | 0.126112 | + | 0.388134i | ||||
\(952\) | −6.36427e6 | − | 1.95872e7i | −0.227592 | − | 0.700455i | ||||
\(953\) | 2.77765e7 | + | 2.01808e7i | 0.990708 | + | 0.719791i | 0.960076 | − | 0.279739i | \(-0.0902480\pi\) |
0.0306319 | + | 0.999531i | \(0.490248\pi\) | |||||||
\(954\) | 6.92417e6 | − | 5.03070e6i | 0.246318 | − | 0.178961i | ||||
\(955\) | 640062. | − | 1.96991e6i | 0.0227098 | − | 0.0698937i | ||||
\(956\) | 1.22732e7 | 0.434323 | ||||||||
\(957\) | 8.18942e6 | − | 3.75708e6i | 0.289050 | − | 0.132608i | ||||
\(958\) | −3.79547e7 | −1.33614 | ||||||||
\(959\) | 1.45205e7 | − | 4.46894e7i | 0.509840 | − | 1.56913i | ||||
\(960\) | 4.24306e6 | − | 3.08276e6i | 0.148594 | − | 0.107960i | ||||
\(961\) | 2.19839e7 | + | 1.59722e7i | 0.767885 | + | 0.557901i | ||||
\(962\) | 7.35697e6 | + | 2.26424e7i | 0.256307 | + | 0.788833i | ||||
\(963\) | −2.12351e6 | − | 6.53551e6i | −0.0737886 | − | 0.227098i | ||||
\(964\) | −1.61037e6 | − | 1.17000e6i | −0.0558126 | − | 0.0405503i | ||||
\(965\) | 1.76688e7 | − | 1.28371e7i | 0.610785 | − | 0.443761i | ||||
\(966\) | −7.60278e6 | + | 2.33990e7i | −0.262138 | + | 0.806777i | ||||
\(967\) | 1.24449e7 | 0.427980 | 0.213990 | − | 0.976836i | \(-0.431354\pi\) | ||||
0.213990 | + | 0.976836i | \(0.431354\pi\) | |||||||
\(968\) | −2.00212e6 | + | 2.42938e7i | −0.0686756 | + | 0.833310i | ||||
\(969\) | 1.38576e7 | 0.474110 | ||||||||
\(970\) | 9.26600e6 | − | 2.85178e7i | 0.316201 | − | 0.973166i | ||||
\(971\) | 3.16202e7 | − | 2.29734e7i | 1.07626 | − | 0.781947i | 0.0992317 | − | 0.995064i | \(-0.468362\pi\) |
0.977027 | + | 0.213117i | \(0.0683615\pi\) | |||||||
\(972\) | 386834. | + | 281051.i | 0.0131328 | + | 0.00954157i | ||||
\(973\) | −1.28912e7 | − | 3.96751e7i | −0.436527 | − | 1.34349i | ||||
\(974\) | −8.93172e6 | − | 2.74890e7i | −0.301674 | − | 0.928457i | ||||
\(975\) | 5.27542e6 | + | 3.83282e6i | 0.177724 | + | 0.129124i | ||||
\(976\) | 2.01446e7 | − | 1.46359e7i | 0.676916 | − | 0.491809i | ||||
\(977\) | 3.40982e6 | − | 1.04944e7i | 0.114287 | − | 0.351738i | −0.877511 | − | 0.479557i | \(-0.840798\pi\) |
0.991798 | + | 0.127819i | \(0.0407975\pi\) | |||||||
\(978\) | −3.38683e7 | −1.13226 | ||||||||
\(979\) | −9.26404e6 | + | 4.25009e6i | −0.308918 | + | 0.141723i | ||||
\(980\) | 1.30660e6 | 0.0434587 | ||||||||
\(981\) | −2.99286e6 | + | 9.21107e6i | −0.0992918 | + | 0.305589i | ||||
\(982\) | 2.74840e7 | − | 1.99683e7i | 0.909496 | − | 0.660787i | ||||
\(983\) | −1.53291e6 | − | 1.11372e6i | −0.0505980 | − | 0.0367616i | 0.562199 | − | 0.827002i | \(-0.309956\pi\) |
−0.612797 | + | 0.790241i | \(0.709956\pi\) | |||||||
\(984\) | 6.95876e6 | + | 2.14169e7i | 0.229110 | + | 0.705128i | ||||
\(985\) | 1.71234e6 | + | 5.27005e6i | 0.0562342 | + | 0.173071i | ||||
\(986\) | 1.15752e7 | + | 8.40990e6i | 0.379173 | + | 0.275485i | ||||
\(987\) | −1.63325e7 | + | 1.18662e7i | −0.533653 | + | 0.387721i | ||||
\(988\) | 1.31661e6 | − | 4.05210e6i | 0.0429105 | − | 0.132065i | ||||
\(989\) | 3.99721e7 | 1.29947 | ||||||||
\(990\) | −666927. | − | 5.72525e6i | −0.0216267 | − | 0.185655i | ||||
\(991\) | 3.70987e7 | 1.19998 | 0.599990 | − | 0.800007i | \(-0.295171\pi\) | ||||
0.599990 | + | 0.800007i | \(0.295171\pi\) | |||||||
\(992\) | 1.06867e6 | − | 3.28903e6i | 0.0344798 | − | 0.106118i | ||||
\(993\) | −9.41983e6 | + | 6.84391e6i | −0.303159 | + | 0.220258i | ||||
\(994\) | −1.30857e7 | − | 9.50731e6i | −0.420079 | − | 0.305205i | ||||
\(995\) | 649777. | + | 1.99981e6i | 0.0208069 | + | 0.0640370i | ||||
\(996\) | 508769. | + | 1.56583e6i | 0.0162507 | + | 0.0500145i | ||||
\(997\) | 4.77180e6 | + | 3.46692e6i | 0.152035 | + | 0.110460i | 0.661202 | − | 0.750208i | \(-0.270046\pi\) |
−0.509167 | + | 0.860668i | \(0.670046\pi\) | |||||||
\(998\) | 3.68801e7 | − | 2.67950e7i | 1.17210 | − | 0.851584i | ||||
\(999\) | −2.73644e6 | + | 8.42191e6i | −0.0867507 | + | 0.266991i |
(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 | 33.6.e.b.31.2 | yes | 20 | |
3.2 | odd | 2 | 99.6.f.b.64.4 | 20 | |||
11.4 | even | 5 | 363.6.a.r.1.4 | 10 | |||
11.5 | even | 5 | inner | 33.6.e.b.16.2 | ✓ | 20 | |
11.7 | odd | 10 | 363.6.a.t.1.7 | 10 | |||
33.5 | odd | 10 | 99.6.f.b.82.4 | 20 | |||
33.26 | odd | 10 | 1089.6.a.bk.1.7 | 10 | |||
33.29 | even | 10 | 1089.6.a.bi.1.4 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
33.6.e.b.16.2 | ✓ | 20 | 11.5 | even | 5 | inner | |
33.6.e.b.31.2 | yes | 20 | 1.1 | even | 1 | trivial | |
99.6.f.b.64.4 | 20 | 3.2 | odd | 2 | |||
99.6.f.b.82.4 | 20 | 33.5 | odd | 10 | |||
363.6.a.r.1.4 | 10 | 11.4 | even | 5 | |||
363.6.a.t.1.7 | 10 | 11.7 | odd | 10 | |||
1089.6.a.bi.1.4 | 10 | 33.29 | even | 10 | |||
1089.6.a.bk.1.7 | 10 | 33.26 | odd | 10 |