Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [35,4,Mod(29,35)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(35, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("35.29");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 35 = 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 35.b (of order \(2\), degree \(1\), 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: | \(2.06506685020\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{10} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} + 55x^{8} + 983x^{6} + 6409x^{4} + 13560x^{2} + 3600 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{2}\cdot 7^{4} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 29.4 | ||
Root | \(-2.67516i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 35.29 |
Dual form | 35.4.b.a.29.7 |
$q$-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 \(\left(\mathbb{Z}/35\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) |
\(\chi(n)\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.67516i | − | 0.592259i | −0.955148 | − | 0.296130i | \(-0.904304\pi\) | ||
0.955148 | − | 0.296130i | \(-0.0956960\pi\) | |||||||
\(3\) | 2.49396i | 0.479963i | 0.970777 | + | 0.239982i | \(0.0771414\pi\) | ||||
−0.970777 | + | 0.239982i | \(0.922859\pi\) | |||||||
\(4\) | 5.19383 | 0.649229 | ||||||||
\(5\) | 6.35505 | − | 9.19855i | 0.568413 | − | 0.822744i | ||||
\(6\) | 4.17779 | 0.284263 | ||||||||
\(7\) | 7.00000i | 0.377964i | ||||||||
\(8\) | − | 22.1018i | − | 0.976771i | ||||||
\(9\) | 20.7802 | 0.769635 | ||||||||
\(10\) | −15.4091 | − | 10.6457i | −0.487278 | − | 0.336648i | ||||
\(11\) | −57.5880 | −1.57849 | −0.789247 | − | 0.614076i | \(-0.789529\pi\) | ||||
−0.789247 | + | 0.614076i | \(0.789529\pi\) | |||||||
\(12\) | 12.9532i | 0.311606i | ||||||||
\(13\) | 45.5159i | 0.971066i | 0.874218 | + | 0.485533i | \(0.161374\pi\) | ||||
−0.874218 | + | 0.485533i | \(0.838626\pi\) | |||||||
\(14\) | 11.7261 | 0.223853 | ||||||||
\(15\) | 22.9408 | + | 15.8492i | 0.394887 | + | 0.272817i | ||||
\(16\) | 4.52655 | 0.0707273 | ||||||||
\(17\) | 92.0051i | 1.31262i | 0.754492 | + | 0.656309i | \(0.227883\pi\) | ||||
−0.754492 | + | 0.656309i | \(0.772117\pi\) | |||||||
\(18\) | − | 34.8101i | − | 0.455824i | ||||||
\(19\) | −125.177 | −1.51145 | −0.755726 | − | 0.654888i | \(-0.772716\pi\) | ||||
−0.755726 | + | 0.654888i | \(0.772716\pi\) | |||||||
\(20\) | 33.0070 | − | 47.7757i | 0.369030 | − | 0.534149i | ||||
\(21\) | −17.4577 | −0.181409 | ||||||||
\(22\) | 96.4692i | 0.934878i | ||||||||
\(23\) | − | 158.496i | − | 1.43690i | −0.695578 | − | 0.718451i | \(-0.744851\pi\) | ||
0.695578 | − | 0.718451i | \(-0.255149\pi\) | |||||||
\(24\) | 55.1211 | 0.468814 | ||||||||
\(25\) | −44.2268 | − | 116.914i | −0.353814 | − | 0.935316i | ||||
\(26\) | 76.2466 | 0.575123 | ||||||||
\(27\) | 119.162i | 0.849360i | ||||||||
\(28\) | 36.3568i | 0.245386i | ||||||||
\(29\) | 40.1708 | 0.257225 | 0.128613 | − | 0.991695i | \(-0.458948\pi\) | ||||
0.128613 | + | 0.991695i | \(0.458948\pi\) | |||||||
\(30\) | 26.5500 | − | 38.4296i | 0.161578 | − | 0.233875i | ||||
\(31\) | 49.5590 | 0.287131 | 0.143566 | − | 0.989641i | \(-0.454143\pi\) | ||||
0.143566 | + | 0.989641i | \(0.454143\pi\) | |||||||
\(32\) | − | 184.397i | − | 1.01866i | ||||||
\(33\) | − | 143.622i | − | 0.757619i | ||||||
\(34\) | 154.123 | 0.777410 | ||||||||
\(35\) | 64.3899 | + | 44.4853i | 0.310968 | + | 0.214840i | ||||
\(36\) | 107.929 | 0.499670 | ||||||||
\(37\) | 231.307i | 1.02775i | 0.857866 | + | 0.513874i | \(0.171790\pi\) | ||||
−0.857866 | + | 0.513874i | \(0.828210\pi\) | |||||||
\(38\) | 209.692i | 0.895171i | ||||||||
\(39\) | −113.515 | −0.466076 | ||||||||
\(40\) | −203.305 | − | 140.458i | −0.803632 | − | 0.555209i | ||||
\(41\) | 169.556 | 0.645859 | 0.322929 | − | 0.946423i | \(-0.395332\pi\) | ||||
0.322929 | + | 0.946423i | \(0.395332\pi\) | |||||||
\(42\) | 29.2445i | 0.107441i | ||||||||
\(43\) | 147.428i | 0.522849i | 0.965224 | + | 0.261425i | \(0.0841923\pi\) | ||||
−0.965224 | + | 0.261425i | \(0.915808\pi\) | |||||||
\(44\) | −299.102 | −1.02480 | ||||||||
\(45\) | 132.059 | − | 191.147i | 0.437470 | − | 0.633213i | ||||
\(46\) | −265.507 | −0.851018 | ||||||||
\(47\) | − | 67.0327i | − | 0.208037i | −0.994575 | − | 0.104018i | \(-0.966830\pi\) | ||
0.994575 | − | 0.104018i | \(-0.0331701\pi\) | |||||||
\(48\) | 11.2890i | 0.0339465i | ||||||||
\(49\) | −49.0000 | −0.142857 | ||||||||
\(50\) | −195.851 | + | 74.0870i | −0.553949 | + | 0.209550i | ||||
\(51\) | −229.457 | −0.630008 | ||||||||
\(52\) | 236.402i | 0.630444i | ||||||||
\(53\) | − | 268.647i | − | 0.696254i | −0.937447 | − | 0.348127i | \(-0.886818\pi\) | ||
0.937447 | − | 0.348127i | \(-0.113182\pi\) | |||||||
\(54\) | 199.615 | 0.503041 | ||||||||
\(55\) | −365.974 | + | 529.726i | −0.897236 | + | 1.29870i | ||||
\(56\) | 154.713 | 0.369185 | ||||||||
\(57\) | − | 312.187i | − | 0.725441i | ||||||
\(58\) | − | 67.2926i | − | 0.152344i | ||||||
\(59\) | 240.843 | 0.531442 | 0.265721 | − | 0.964050i | \(-0.414390\pi\) | ||||
0.265721 | + | 0.964050i | \(0.414390\pi\) | |||||||
\(60\) | 119.151 | + | 82.3183i | 0.256372 | + | 0.177121i | ||||
\(61\) | 90.4579 | 0.189868 | 0.0949340 | − | 0.995484i | \(-0.469736\pi\) | ||||
0.0949340 | + | 0.995484i | \(0.469736\pi\) | |||||||
\(62\) | − | 83.0194i | − | 0.170056i | ||||||
\(63\) | 145.461i | 0.290895i | ||||||||
\(64\) | −272.683 | −0.532583 | ||||||||
\(65\) | 418.681 | + | 289.256i | 0.798938 | + | 0.551966i | ||||
\(66\) | −240.591 | −0.448707 | ||||||||
\(67\) | − | 406.498i | − | 0.741218i | −0.928789 | − | 0.370609i | \(-0.879149\pi\) | ||
0.928789 | − | 0.370609i | \(-0.120851\pi\) | |||||||
\(68\) | 477.859i | 0.852190i | ||||||||
\(69\) | 395.283 | 0.689660 | ||||||||
\(70\) | 74.5201 | − | 107.863i | 0.127241 | − | 0.184174i | ||||
\(71\) | 330.782 | 0.552910 | 0.276455 | − | 0.961027i | \(-0.410840\pi\) | ||||
0.276455 | + | 0.961027i | \(0.410840\pi\) | |||||||
\(72\) | − | 459.279i | − | 0.751758i | ||||||
\(73\) | − | 546.255i | − | 0.875812i | −0.899021 | − | 0.437906i | \(-0.855720\pi\) | ||
0.899021 | − | 0.437906i | \(-0.144280\pi\) | |||||||
\(74\) | 387.477 | 0.608693 | ||||||||
\(75\) | 291.580 | − | 110.300i | 0.448917 | − | 0.169818i | ||||
\(76\) | −650.149 | −0.981279 | ||||||||
\(77\) | − | 403.116i | − | 0.596615i | ||||||
\(78\) | 190.156i | 0.276038i | ||||||||
\(79\) | 25.3087 | 0.0360436 | 0.0180218 | − | 0.999838i | \(-0.494263\pi\) | ||||
0.0180218 | + | 0.999838i | \(0.494263\pi\) | |||||||
\(80\) | 28.7664 | − | 41.6377i | 0.0402023 | − | 0.0581905i | ||||
\(81\) | 263.879 | 0.361974 | ||||||||
\(82\) | − | 284.034i | − | 0.382516i | ||||||
\(83\) | − | 376.255i | − | 0.497582i | −0.968557 | − | 0.248791i | \(-0.919967\pi\) | ||
0.968557 | − | 0.248791i | \(-0.0800333\pi\) | |||||||
\(84\) | −90.6725 | −0.117776 | ||||||||
\(85\) | 846.314 | + | 584.697i | 1.07995 | + | 0.746109i | ||||
\(86\) | 246.965 | 0.309662 | ||||||||
\(87\) | 100.184i | 0.123459i | ||||||||
\(88\) | 1272.80i | 1.54183i | ||||||||
\(89\) | −1026.44 | −1.22250 | −0.611248 | − | 0.791439i | \(-0.709332\pi\) | ||||
−0.611248 | + | 0.791439i | \(0.709332\pi\) | |||||||
\(90\) | −320.203 | − | 221.220i | −0.375026 | − | 0.259096i | ||||
\(91\) | −318.612 | −0.367028 | ||||||||
\(92\) | − | 823.203i | − | 0.932878i | ||||||
\(93\) | 123.598i | 0.137812i | ||||||||
\(94\) | −112.291 | −0.123212 | ||||||||
\(95\) | −795.506 | + | 1151.45i | −0.859128 | + | 1.24354i | ||||
\(96\) | 459.879 | 0.488919 | ||||||||
\(97\) | − | 942.660i | − | 0.986728i | −0.869823 | − | 0.493364i | \(-0.835767\pi\) | ||
0.869823 | − | 0.493364i | \(-0.164233\pi\) | |||||||
\(98\) | 82.0829i | 0.0846085i | ||||||||
\(99\) | −1196.69 | −1.21487 | ||||||||
\(100\) | −229.706 | − | 607.234i | −0.229706 | − | 0.607234i | ||||
\(101\) | −604.617 | −0.595659 | −0.297830 | − | 0.954619i | \(-0.596263\pi\) | ||||
−0.297830 | + | 0.954619i | \(0.596263\pi\) | |||||||
\(102\) | 384.378i | 0.373128i | ||||||||
\(103\) | 300.967i | 0.287914i | 0.989584 | + | 0.143957i | \(0.0459828\pi\) | ||||
−0.989584 | + | 0.143957i | \(0.954017\pi\) | |||||||
\(104\) | 1005.98 | 0.948509 | ||||||||
\(105\) | −110.945 | + | 160.586i | −0.103115 | + | 0.149253i | ||||
\(106\) | −450.027 | −0.412363 | ||||||||
\(107\) | 1511.66i | 1.36577i | 0.730525 | + | 0.682886i | \(0.239276\pi\) | ||||
−0.730525 | + | 0.682886i | \(0.760724\pi\) | |||||||
\(108\) | 618.907i | 0.551429i | ||||||||
\(109\) | 1767.09 | 1.55281 | 0.776406 | − | 0.630233i | \(-0.217041\pi\) | ||||
0.776406 | + | 0.630233i | \(0.217041\pi\) | |||||||
\(110\) | 887.377 | + | 613.066i | 0.769165 | + | 0.531396i | ||||
\(111\) | −576.871 | −0.493281 | ||||||||
\(112\) | 31.6858i | 0.0267324i | ||||||||
\(113\) | − | 1045.27i | − | 0.870182i | −0.900387 | − | 0.435091i | \(-0.856716\pi\) | ||
0.900387 | − | 0.435091i | \(-0.143284\pi\) | |||||||
\(114\) | −522.963 | −0.429649 | ||||||||
\(115\) | −1457.94 | − | 1007.25i | −1.18220 | − | 0.816753i | ||||
\(116\) | 208.640 | 0.166998 | ||||||||
\(117\) | 945.828i | 0.747366i | ||||||||
\(118\) | − | 403.451i | − | 0.314751i | ||||||
\(119\) | −644.036 | −0.496123 | ||||||||
\(120\) | 350.297 | − | 507.034i | 0.266480 | − | 0.385714i | ||||
\(121\) | 1985.38 | 1.49164 | ||||||||
\(122\) | − | 151.532i | − | 0.112451i | ||||||
\(123\) | 422.866i | 0.309988i | ||||||||
\(124\) | 257.401 | 0.186414 | ||||||||
\(125\) | −1356.51 | − | 336.174i | −0.970638 | − | 0.240547i | ||||
\(126\) | 243.671 | 0.172285 | ||||||||
\(127\) | 260.727i | 0.182171i | 0.995843 | + | 0.0910857i | \(0.0290337\pi\) | ||||
−0.995843 | + | 0.0910857i | \(0.970966\pi\) | |||||||
\(128\) | − | 1018.39i | − | 0.703233i | ||||||
\(129\) | −367.679 | −0.250948 | ||||||||
\(130\) | 484.551 | − | 701.358i | 0.326907 | − | 0.473178i | ||||
\(131\) | −723.522 | −0.482553 | −0.241276 | − | 0.970456i | \(-0.577566\pi\) | ||||
−0.241276 | + | 0.970456i | \(0.577566\pi\) | |||||||
\(132\) | − | 745.950i | − | 0.491868i | ||||||
\(133\) | − | 876.240i | − | 0.571275i | ||||||
\(134\) | −680.950 | −0.438993 | ||||||||
\(135\) | 1096.12 | + | 757.279i | 0.698805 | + | 0.482787i | ||||
\(136\) | 2033.48 | 1.28213 | ||||||||
\(137\) | 773.693i | 0.482490i | 0.970464 | + | 0.241245i | \(0.0775557\pi\) | ||||
−0.970464 | + | 0.241245i | \(0.922444\pi\) | |||||||
\(138\) | − | 662.164i | − | 0.408457i | ||||||
\(139\) | 2952.97 | 1.80192 | 0.900961 | − | 0.433899i | \(-0.142863\pi\) | ||||
0.900961 | + | 0.433899i | \(0.142863\pi\) | |||||||
\(140\) | 334.430 | + | 231.049i | 0.201889 | + | 0.139480i | ||||
\(141\) | 167.177 | 0.0998499 | ||||||||
\(142\) | − | 554.114i | − | 0.327466i | ||||||
\(143\) | − | 2621.17i | − | 1.53282i | ||||||
\(144\) | 94.0624 | 0.0544343 | ||||||||
\(145\) | 255.287 | − | 369.513i | 0.146210 | − | 0.211630i | ||||
\(146\) | −915.066 | −0.518708 | ||||||||
\(147\) | − | 122.204i | − | 0.0685662i | ||||||
\(148\) | 1201.37i | 0.667244i | ||||||||
\(149\) | −2514.00 | −1.38225 | −0.691124 | − | 0.722736i | \(-0.742884\pi\) | ||||
−0.691124 | + | 0.722736i | \(0.742884\pi\) | |||||||
\(150\) | −184.770 | − | 488.444i | −0.100576 | − | 0.265875i | ||||
\(151\) | 101.052 | 0.0544605 | 0.0272302 | − | 0.999629i | \(-0.491331\pi\) | ||||
0.0272302 | + | 0.999629i | \(0.491331\pi\) | |||||||
\(152\) | 2766.64i | 1.47634i | ||||||||
\(153\) | 1911.88i | 1.01024i | ||||||||
\(154\) | −675.285 | −0.353351 | ||||||||
\(155\) | 314.950 | − | 455.872i | 0.163209 | − | 0.236235i | ||||
\(156\) | −589.578 | −0.302590 | ||||||||
\(157\) | 2338.35i | 1.18867i | 0.804219 | + | 0.594333i | \(0.202584\pi\) | ||||
−0.804219 | + | 0.594333i | \(0.797416\pi\) | |||||||
\(158\) | − | 42.3961i | − | 0.0213472i | ||||||
\(159\) | 669.995 | 0.334176 | ||||||||
\(160\) | −1696.19 | − | 1171.85i | −0.838096 | − | 0.579019i | ||||
\(161\) | 1109.47 | 0.543098 | ||||||||
\(162\) | − | 442.040i | − | 0.214383i | ||||||
\(163\) | 1325.20i | 0.636798i | 0.947957 | + | 0.318399i | \(0.103145\pi\) | ||||
−0.947957 | + | 0.318399i | \(0.896855\pi\) | |||||||
\(164\) | 880.646 | 0.419310 | ||||||||
\(165\) | −1321.12 | − | 912.726i | −0.623326 | − | 0.430640i | ||||
\(166\) | −630.288 | −0.294698 | ||||||||
\(167\) | 2086.20i | 0.966675i | 0.875434 | + | 0.483338i | \(0.160576\pi\) | ||||
−0.875434 | + | 0.483338i | \(0.839424\pi\) | |||||||
\(168\) | 385.847i | 0.177195i | ||||||||
\(169\) | 125.299 | 0.0570317 | ||||||||
\(170\) | 979.462 | − | 1417.71i | 0.441890 | − | 0.639609i | ||||
\(171\) | −2601.20 | −1.16327 | ||||||||
\(172\) | 765.715i | 0.339449i | ||||||||
\(173\) | − | 1918.19i | − | 0.842990i | −0.906831 | − | 0.421495i | \(-0.861505\pi\) | ||
0.906831 | − | 0.421495i | \(-0.138495\pi\) | |||||||
\(174\) | 167.825 | 0.0731195 | ||||||||
\(175\) | 818.401 | − | 309.587i | 0.353516 | − | 0.133729i | ||||
\(176\) | −260.675 | −0.111643 | ||||||||
\(177\) | 600.652i | 0.255072i | ||||||||
\(178\) | 1719.45i | 0.724035i | ||||||||
\(179\) | −629.046 | −0.262665 | −0.131333 | − | 0.991338i | \(-0.541926\pi\) | ||||
−0.131333 | + | 0.991338i | \(0.541926\pi\) | |||||||
\(180\) | 685.891 | − | 992.787i | 0.284019 | − | 0.411100i | ||||
\(181\) | −2800.85 | −1.15020 | −0.575099 | − | 0.818084i | \(-0.695036\pi\) | ||||
−0.575099 | + | 0.818084i | \(0.695036\pi\) | |||||||
\(182\) | 533.726i | 0.217376i | ||||||||
\(183\) | 225.599i | 0.0911296i | ||||||||
\(184\) | −3503.05 | −1.40352 | ||||||||
\(185\) | 2127.69 | + | 1469.97i | 0.845573 | + | 0.584185i | ||||
\(186\) | 207.047 | 0.0816207 | ||||||||
\(187\) | − | 5298.39i | − | 2.07196i | ||||||
\(188\) | − | 348.157i | − | 0.135063i | ||||||
\(189\) | −834.133 | −0.321028 | ||||||||
\(190\) | 1928.86 | + | 1332.60i | 0.736497 | + | 0.508827i | ||||
\(191\) | 740.255 | 0.280434 | 0.140217 | − | 0.990121i | \(-0.455220\pi\) | ||||
0.140217 | + | 0.990121i | \(0.455220\pi\) | |||||||
\(192\) | − | 680.060i | − | 0.255620i | ||||||
\(193\) | − | 4082.57i | − | 1.52264i | −0.648375 | − | 0.761321i | \(-0.724551\pi\) | ||
0.648375 | − | 0.761321i | \(-0.275449\pi\) | |||||||
\(194\) | −1579.11 | −0.584399 | ||||||||
\(195\) | −721.393 | + | 1044.17i | −0.264923 | + | 0.383461i | ||||
\(196\) | −254.498 | −0.0927470 | ||||||||
\(197\) | 3414.89i | 1.23503i | 0.786559 | + | 0.617515i | \(0.211860\pi\) | ||||
−0.786559 | + | 0.617515i | \(0.788140\pi\) | |||||||
\(198\) | 2004.65i | 0.719515i | ||||||||
\(199\) | 3392.44 | 1.20846 | 0.604231 | − | 0.796809i | \(-0.293480\pi\) | ||||
0.604231 | + | 0.796809i | \(0.293480\pi\) | |||||||
\(200\) | −2584.02 | + | 977.492i | −0.913589 | + | 0.345596i | ||||
\(201\) | 1013.79 | 0.355757 | ||||||||
\(202\) | 1012.83i | 0.352785i | ||||||||
\(203\) | 281.196i | 0.0972220i | ||||||||
\(204\) | −1191.76 | −0.409020 | ||||||||
\(205\) | 1077.54 | − | 1559.67i | 0.367114 | − | 0.531376i | ||||
\(206\) | 504.169 | 0.170520 | ||||||||
\(207\) | − | 3293.58i | − | 1.10589i | ||||||
\(208\) | 206.030i | 0.0686809i | ||||||||
\(209\) | 7208.70 | 2.38582 | ||||||||
\(210\) | 269.007 | + | 185.850i | 0.0883965 | + | 0.0610709i | ||||
\(211\) | 3398.04 | 1.10867 | 0.554337 | − | 0.832292i | \(-0.312972\pi\) | ||||
0.554337 | + | 0.832292i | \(0.312972\pi\) | |||||||
\(212\) | − | 1395.31i | − | 0.452029i | ||||||
\(213\) | 824.958i | 0.265376i | ||||||||
\(214\) | 2532.28 | 0.808892 | ||||||||
\(215\) | 1356.12 | + | 936.910i | 0.430171 | + | 0.297194i | ||||
\(216\) | 2633.69 | 0.829630 | ||||||||
\(217\) | 346.913i | 0.108525i | ||||||||
\(218\) | − | 2960.16i | − | 0.919667i | ||||||
\(219\) | 1362.34 | 0.420358 | ||||||||
\(220\) | −1900.81 | + | 2751.31i | −0.582512 | + | 0.843151i | ||||
\(221\) | −4187.70 | −1.27464 | ||||||||
\(222\) | 966.353i | 0.292150i | ||||||||
\(223\) | − | 182.611i | − | 0.0548365i | −0.999624 | − | 0.0274183i | \(-0.991271\pi\) | ||
0.999624 | − | 0.0274183i | \(-0.00872860\pi\) | |||||||
\(224\) | 1290.78 | 0.385017 | ||||||||
\(225\) | −919.040 | − | 2429.50i | −0.272308 | − | 0.719852i | ||||
\(226\) | −1750.99 | −0.515373 | ||||||||
\(227\) | − | 3152.33i | − | 0.921707i | −0.887476 | − | 0.460854i | \(-0.847543\pi\) | ||
0.887476 | − | 0.460854i | \(-0.152457\pi\) | |||||||
\(228\) | − | 1621.45i | − | 0.470977i | ||||||
\(229\) | −6012.35 | −1.73497 | −0.867483 | − | 0.497466i | \(-0.834264\pi\) | ||||
−0.867483 | + | 0.497466i | \(0.834264\pi\) | |||||||
\(230\) | −1687.31 | + | 2442.28i | −0.483730 | + | 0.700170i | ||||
\(231\) | 1005.36 | 0.286353 | ||||||||
\(232\) | − | 887.848i | − | 0.251250i | ||||||
\(233\) | 940.660i | 0.264484i | 0.991217 | + | 0.132242i | \(0.0422175\pi\) | ||||
−0.991217 | + | 0.132242i | \(0.957782\pi\) | |||||||
\(234\) | 1584.42 | 0.442635 | ||||||||
\(235\) | −616.604 | − | 425.996i | −0.171161 | − | 0.118251i | ||||
\(236\) | 1250.90 | 0.345027 | ||||||||
\(237\) | 63.1188i | 0.0172996i | ||||||||
\(238\) | 1078.86i | 0.293833i | ||||||||
\(239\) | −5158.82 | −1.39622 | −0.698109 | − | 0.715991i | \(-0.745975\pi\) | ||||
−0.698109 | + | 0.715991i | \(0.745975\pi\) | |||||||
\(240\) | 103.843 | + | 71.7423i | 0.0279293 | + | 0.0192956i | ||||
\(241\) | −463.836 | −0.123976 | −0.0619882 | − | 0.998077i | \(-0.519744\pi\) | ||||
−0.0619882 | + | 0.998077i | \(0.519744\pi\) | |||||||
\(242\) | − | 3325.83i | − | 0.883440i | ||||||
\(243\) | 3875.47i | 1.02309i | ||||||||
\(244\) | 469.823 | 0.123268 | ||||||||
\(245\) | −311.397 | + | 450.729i | −0.0812018 | + | 0.117535i | ||||
\(246\) | 708.370 | 0.183594 | ||||||||
\(247\) | − | 5697.55i | − | 1.46772i | ||||||
\(248\) | − | 1095.34i | − | 0.280461i | ||||||
\(249\) | 938.365 | 0.238821 | ||||||||
\(250\) | −563.146 | + | 2272.37i | −0.142466 | + | 0.574869i | ||||
\(251\) | 2290.25 | 0.575934 | 0.287967 | − | 0.957640i | \(-0.407021\pi\) | ||||
0.287967 | + | 0.957640i | \(0.407021\pi\) | |||||||
\(252\) | 755.501i | 0.188857i | ||||||||
\(253\) | 9127.48i | 2.26814i | ||||||||
\(254\) | 436.760 | 0.107893 | ||||||||
\(255\) | −1458.21 | + | 2110.67i | −0.358105 | + | 0.518335i | ||||
\(256\) | −3887.43 | −0.949079 | ||||||||
\(257\) | − | 802.202i | − | 0.194708i | −0.995250 | − | 0.0973541i | \(-0.968962\pi\) | ||
0.995250 | − | 0.0973541i | \(-0.0310379\pi\) | |||||||
\(258\) | 615.922i | 0.148627i | ||||||||
\(259\) | −1619.15 | −0.388452 | ||||||||
\(260\) | 2174.56 | + | 1502.35i | 0.518694 | + | 0.358352i | ||||
\(261\) | 834.756 | 0.197970 | ||||||||
\(262\) | 1212.02i | 0.285796i | ||||||||
\(263\) | 286.978i | 0.0672845i | 0.999434 | + | 0.0336423i | \(0.0107107\pi\) | ||||
−0.999434 | + | 0.0336423i | \(0.989289\pi\) | |||||||
\(264\) | −3174.31 | −0.740020 | ||||||||
\(265\) | −2471.16 | − | 1707.26i | −0.572839 | − | 0.395760i | ||||
\(266\) | −1467.84 | −0.338343 | ||||||||
\(267\) | − | 2559.90i | − | 0.586753i | ||||||
\(268\) | − | 2111.28i | − | 0.481221i | ||||||
\(269\) | −3561.22 | −0.807180 | −0.403590 | − | 0.914940i | \(-0.632238\pi\) | ||||
−0.403590 | + | 0.914940i | \(0.632238\pi\) | |||||||
\(270\) | 1268.57 | − | 1836.17i | 0.285935 | − | 0.413874i | ||||
\(271\) | 1928.81 | 0.432349 | 0.216175 | − | 0.976355i | \(-0.430642\pi\) | ||||
0.216175 | + | 0.976355i | \(0.430642\pi\) | |||||||
\(272\) | 416.466i | 0.0928380i | ||||||||
\(273\) | − | 794.605i | − | 0.176160i | ||||||
\(274\) | 1296.06 | 0.285759 | ||||||||
\(275\) | 2546.93 | + | 6732.87i | 0.558494 | + | 1.47639i | ||||
\(276\) | 2053.04 | 0.447747 | ||||||||
\(277\) | 6588.69i | 1.42916i | 0.699556 | + | 0.714578i | \(0.253381\pi\) | ||||
−0.699556 | + | 0.714578i | \(0.746619\pi\) | |||||||
\(278\) | − | 4946.70i | − | 1.06721i | ||||||
\(279\) | 1029.84 | 0.220986 | ||||||||
\(280\) | 983.206 | − | 1423.13i | 0.209849 | − | 0.303744i | ||||
\(281\) | 815.552 | 0.173138 | 0.0865689 | − | 0.996246i | \(-0.472410\pi\) | ||||
0.0865689 | + | 0.996246i | \(0.472410\pi\) | |||||||
\(282\) | − | 280.049i | − | 0.0591371i | ||||||
\(283\) | 6513.49i | 1.36815i | 0.729411 | + | 0.684076i | \(0.239794\pi\) | ||||
−0.729411 | + | 0.684076i | \(0.760206\pi\) | |||||||
\(284\) | 1718.03 | 0.358965 | ||||||||
\(285\) | −2871.67 | − | 1983.96i | −0.596852 | − | 0.412350i | ||||
\(286\) | −4390.89 | −0.907828 | ||||||||
\(287\) | 1186.89i | 0.244112i | ||||||||
\(288\) | − | 3831.80i | − | 0.783997i | ||||||
\(289\) | −3551.94 | −0.722967 | ||||||||
\(290\) | −618.995 | − | 427.648i | −0.125340 | − | 0.0865943i | ||||
\(291\) | 2350.96 | 0.473593 | ||||||||
\(292\) | − | 2837.16i | − | 0.568603i | ||||||
\(293\) | − | 435.520i | − | 0.0868373i | −0.999057 | − | 0.0434186i | \(-0.986175\pi\) | ||
0.999057 | − | 0.0434186i | \(-0.0138249\pi\) | |||||||
\(294\) | −204.712 | −0.0406089 | ||||||||
\(295\) | 1530.57 | − | 2215.40i | 0.302078 | − | 0.437240i | ||||
\(296\) | 5112.31 | 1.00387 | ||||||||
\(297\) | − | 6862.29i | − | 1.34071i | ||||||
\(298\) | 4211.36i | 0.818650i | ||||||||
\(299\) | 7214.10 | 1.39533 | ||||||||
\(300\) | 1514.42 | − | 572.879i | 0.291450 | − | 0.110251i | ||||
\(301\) | −1031.99 | −0.197618 | ||||||||
\(302\) | − | 169.279i | − | 0.0322547i | ||||||
\(303\) | − | 1507.89i | − | 0.285895i | ||||||
\(304\) | −566.620 | −0.106901 | ||||||||
\(305\) | 574.864 | − | 832.082i | 0.107923 | − | 0.156213i | ||||
\(306\) | 3202.71 | 0.598323 | ||||||||
\(307\) | − | 4915.99i | − | 0.913910i | −0.889490 | − | 0.456955i | \(-0.848940\pi\) | ||
0.889490 | − | 0.456955i | \(-0.151060\pi\) | |||||||
\(308\) | − | 2093.72i | − | 0.387340i | ||||||
\(309\) | −750.601 | −0.138188 | ||||||||
\(310\) | −763.659 | − | 527.592i | −0.139913 | − | 0.0966620i | ||||
\(311\) | −1831.11 | −0.333868 | −0.166934 | − | 0.985968i | \(-0.553387\pi\) | ||||
−0.166934 | + | 0.985968i | \(0.553387\pi\) | |||||||
\(312\) | 2508.89i | 0.455249i | ||||||||
\(313\) | 2442.96i | 0.441163i | 0.975369 | + | 0.220582i | \(0.0707955\pi\) | ||||
−0.975369 | + | 0.220582i | \(0.929204\pi\) | |||||||
\(314\) | 3917.11 | 0.703998 | ||||||||
\(315\) | 1338.03 | + | 924.412i | 0.239332 | + | 0.165348i | ||||
\(316\) | 131.449 | 0.0234006 | ||||||||
\(317\) | 1666.19i | 0.295214i | 0.989046 | + | 0.147607i | \(0.0471570\pi\) | ||||
−0.989046 | + | 0.147607i | \(0.952843\pi\) | |||||||
\(318\) | − | 1122.35i | − | 0.197919i | ||||||
\(319\) | −2313.36 | −0.406029 | ||||||||
\(320\) | −1732.91 | + | 2508.29i | −0.302727 | + | 0.438180i | ||||
\(321\) | −3770.02 | −0.655521 | ||||||||
\(322\) | − | 1858.55i | − | 0.321655i | ||||||
\(323\) | − | 11516.9i | − | 1.98396i | ||||||
\(324\) | 1370.54 | 0.235004 | ||||||||
\(325\) | 5321.47 | − | 2013.02i | 0.908253 | − | 0.343577i | ||||
\(326\) | 2219.93 | 0.377149 | ||||||||
\(327\) | 4407.05i | 0.745292i | ||||||||
\(328\) | − | 3747.50i | − | 0.630856i | ||||||
\(329\) | 469.229 | 0.0786305 | ||||||||
\(330\) | −1528.96 | + | 2213.09i | −0.255051 | + | 0.369171i | ||||
\(331\) | −5466.38 | −0.907732 | −0.453866 | − | 0.891070i | \(-0.649956\pi\) | ||||
−0.453866 | + | 0.891070i | \(0.649956\pi\) | |||||||
\(332\) | − | 1954.20i | − | 0.323045i | ||||||
\(333\) | 4806.60i | 0.790991i | ||||||||
\(334\) | 3494.72 | 0.572522 | ||||||||
\(335\) | −3739.19 | − | 2583.31i | −0.609833 | − | 0.421318i | ||||
\(336\) | −79.0233 | −0.0128306 | ||||||||
\(337\) | 10650.5i | 1.72157i | 0.508970 | + | 0.860784i | \(0.330027\pi\) | ||||
−0.508970 | + | 0.860784i | \(0.669973\pi\) | |||||||
\(338\) | − | 209.896i | − | 0.0337776i | ||||||
\(339\) | 2606.86 | 0.417655 | ||||||||
\(340\) | 4395.61 | + | 3036.82i | 0.701134 | + | 0.484395i | ||||
\(341\) | −2854.01 | −0.453235 | ||||||||
\(342\) | 4357.43i | 0.688956i | ||||||||
\(343\) | − | 343.000i | − | 0.0539949i | ||||||
\(344\) | 3258.42 | 0.510704 | ||||||||
\(345\) | 2512.04 | − | 3636.04i | 0.392011 | − | 0.567413i | ||||
\(346\) | −3213.28 | −0.499269 | ||||||||
\(347\) | 4019.13i | 0.621782i | 0.950446 | + | 0.310891i | \(0.100627\pi\) | ||||
−0.950446 | + | 0.310891i | \(0.899373\pi\) | |||||||
\(348\) | 520.341i | 0.0801529i | ||||||||
\(349\) | −10544.9 | −1.61735 | −0.808674 | − | 0.588256i | \(-0.799815\pi\) | ||||
−0.808674 | + | 0.588256i | \(0.799815\pi\) | |||||||
\(350\) | −518.609 | − | 1370.95i | −0.0792024 | − | 0.209373i | ||||
\(351\) | −5423.76 | −0.824784 | ||||||||
\(352\) | 10619.1i | 1.60795i | ||||||||
\(353\) | − | 2959.98i | − | 0.446300i | −0.974784 | − | 0.223150i | \(-0.928366\pi\) | ||
0.974784 | − | 0.223150i | \(-0.0716340\pi\) | |||||||
\(354\) | 1006.19 | 0.151069 | ||||||||
\(355\) | 2102.14 | − | 3042.72i | 0.314281 | − | 0.454903i | ||||
\(356\) | −5331.14 | −0.793680 | ||||||||
\(357\) | − | 1606.20i | − | 0.238121i | ||||||
\(358\) | 1053.75i | 0.155566i | ||||||||
\(359\) | −2170.17 | −0.319045 | −0.159523 | − | 0.987194i | \(-0.550995\pi\) | ||||
−0.159523 | + | 0.987194i | \(0.550995\pi\) | |||||||
\(360\) | −4224.70 | − | 2918.74i | −0.618504 | − | 0.427309i | ||||
\(361\) | 8810.30 | 1.28449 | ||||||||
\(362\) | 4691.88i | 0.681215i | ||||||||
\(363\) | 4951.46i | 0.715934i | ||||||||
\(364\) | −1654.82 | −0.238285 | ||||||||
\(365\) | −5024.76 | − | 3471.48i | −0.720569 | − | 0.497823i | ||||
\(366\) | 377.914 | 0.0539724 | ||||||||
\(367\) | − | 1252.20i | − | 0.178105i | −0.996027 | − | 0.0890523i | \(-0.971616\pi\) | ||
0.996027 | − | 0.0890523i | \(-0.0283838\pi\) | |||||||
\(368\) | − | 717.441i | − | 0.101628i | ||||||
\(369\) | 3523.40 | 0.497076 | ||||||||
\(370\) | 2462.43 | − | 3564.23i | 0.345989 | − | 0.500798i | ||||
\(371\) | 1880.53 | 0.263159 | ||||||||
\(372\) | 641.949i | 0.0894718i | ||||||||
\(373\) | − | 4646.02i | − | 0.644938i | −0.946580 | − | 0.322469i | \(-0.895487\pi\) | ||
0.946580 | − | 0.322469i | \(-0.104513\pi\) | |||||||
\(374\) | −8875.66 | −1.22714 | ||||||||
\(375\) | 838.406 | − | 3383.08i | 0.115454 | − | 0.465870i | ||||
\(376\) | −1481.54 | −0.203204 | ||||||||
\(377\) | 1828.41i | 0.249783i | ||||||||
\(378\) | 1397.31i | 0.190132i | ||||||||
\(379\) | −1434.84 | −0.194466 | −0.0972331 | − | 0.995262i | \(-0.530999\pi\) | ||||
−0.0972331 | + | 0.995262i | \(0.530999\pi\) | |||||||
\(380\) | −4131.72 | + | 5980.43i | −0.557771 | + | 0.807341i | ||||
\(381\) | −650.242 | −0.0874355 | ||||||||
\(382\) | − | 1240.05i | − | 0.166090i | ||||||
\(383\) | 13216.7i | 1.76330i | 0.471905 | + | 0.881649i | \(0.343566\pi\) | ||||
−0.471905 | + | 0.881649i | \(0.656434\pi\) | |||||||
\(384\) | 2539.82 | 0.337526 | ||||||||
\(385\) | −3708.08 | − | 2561.82i | −0.490861 | − | 0.339123i | ||||
\(386\) | −6838.97 | −0.901799 | ||||||||
\(387\) | 3063.57i | 0.402403i | ||||||||
\(388\) | − | 4896.02i | − | 0.640612i | ||||||
\(389\) | 7755.01 | 1.01078 | 0.505391 | − | 0.862890i | \(-0.331348\pi\) | ||||
0.505391 | + | 0.862890i | \(0.331348\pi\) | |||||||
\(390\) | 1749.16 | + | 1208.45i | 0.227108 | + | 0.156903i | ||||
\(391\) | 14582.5 | 1.88610 | ||||||||
\(392\) | 1082.99i | 0.139539i | ||||||||
\(393\) | − | 1804.44i | − | 0.231607i | ||||||
\(394\) | 5720.49 | 0.731457 | ||||||||
\(395\) | 160.838 | − | 232.803i | 0.0204876 | − | 0.0296547i | ||||
\(396\) | −6215.40 | −0.788726 | ||||||||
\(397\) | − | 3560.83i | − | 0.450158i | −0.974341 | − | 0.225079i | \(-0.927736\pi\) | ||
0.974341 | − | 0.225079i | \(-0.0722640\pi\) | |||||||
\(398\) | − | 5682.89i | − | 0.715723i | ||||||
\(399\) | 2185.31 | 0.274191 | ||||||||
\(400\) | −200.195 | − | 529.219i | −0.0250243 | − | 0.0661524i | ||||
\(401\) | −5430.61 | −0.676288 | −0.338144 | − | 0.941094i | \(-0.609799\pi\) | ||||
−0.338144 | + | 0.941094i | \(0.609799\pi\) | |||||||
\(402\) | − | 1698.26i | − | 0.210701i | ||||||
\(403\) | 2255.73i | 0.278823i | ||||||||
\(404\) | −3140.28 | −0.386719 | ||||||||
\(405\) | 1676.96 | − | 2427.31i | 0.205751 | − | 0.297812i | ||||
\(406\) | 471.048 | 0.0575806 | ||||||||
\(407\) | − | 13320.5i | − | 1.62229i | ||||||
\(408\) | 5071.42i | 0.615374i | ||||||||
\(409\) | 9698.79 | 1.17255 | 0.586277 | − | 0.810111i | \(-0.300593\pi\) | ||||
0.586277 | + | 0.810111i | \(0.300593\pi\) | |||||||
\(410\) | −2612.70 | − | 1805.05i | −0.314713 | − | 0.217427i | ||||
\(411\) | −1929.56 | −0.231577 | ||||||||
\(412\) | 1563.17i | 0.186922i | ||||||||
\(413\) | 1685.90i | 0.200866i | ||||||||
\(414\) | −5517.27 | −0.654974 | ||||||||
\(415\) | −3461.00 | − | 2391.12i | −0.409383 | − | 0.282832i | ||||
\(416\) | 8393.01 | 0.989186 | ||||||||
\(417\) | 7364.58i | 0.864856i | ||||||||
\(418\) | − | 12075.7i | − | 1.41302i | ||||||
\(419\) | −13830.9 | −1.61261 | −0.806307 | − | 0.591498i | \(-0.798537\pi\) | ||||
−0.806307 | + | 0.591498i | \(0.798537\pi\) | |||||||
\(420\) | −576.228 | + | 834.056i | −0.0669453 | + | 0.0968994i | ||||
\(421\) | 16703.0 | 1.93362 | 0.966810 | − | 0.255498i | \(-0.0822393\pi\) | ||||
0.966810 | + | 0.255498i | \(0.0822393\pi\) | |||||||
\(422\) | − | 5692.26i | − | 0.656623i | ||||||
\(423\) | − | 1392.95i | − | 0.160112i | ||||||
\(424\) | −5937.58 | −0.680081 | ||||||||
\(425\) | 10756.7 | − | 4069.09i | 1.22771 | − | 0.464423i | ||||
\(426\) | 1381.94 | 0.157172 | ||||||||
\(427\) | 633.205i | 0.0717634i | ||||||||
\(428\) | 7851.31i | 0.886699i | ||||||||
\(429\) | 6537.10 | 0.735698 | ||||||||
\(430\) | 1569.48 | − | 2271.72i | 0.176016 | − | 0.254773i | ||||
\(431\) | 8174.07 | 0.913530 | 0.456765 | − | 0.889588i | \(-0.349008\pi\) | ||||
0.456765 | + | 0.889588i | \(0.349008\pi\) | |||||||
\(432\) | 539.392i | 0.0600729i | ||||||||
\(433\) | − | 14222.8i | − | 1.57853i | −0.614051 | − | 0.789267i | \(-0.710461\pi\) | ||
0.614051 | − | 0.789267i | \(-0.289539\pi\) | |||||||
\(434\) | 581.136 | 0.0642752 | ||||||||
\(435\) | 921.552 | + | 636.677i | 0.101575 | + | 0.0701755i | ||||
\(436\) | 9177.96 | 1.00813 | ||||||||
\(437\) | 19840.1i | 2.17181i | ||||||||
\(438\) | − | 2282.14i | − | 0.248961i | ||||||
\(439\) | −5537.38 | −0.602016 | −0.301008 | − | 0.953622i | \(-0.597323\pi\) | ||||
−0.301008 | + | 0.953622i | \(0.597323\pi\) | |||||||
\(440\) | 11707.9 | + | 8088.70i | 1.26853 | + | 0.876394i | ||||
\(441\) | −1018.23 | −0.109948 | ||||||||
\(442\) | 7015.07i | 0.754916i | ||||||||
\(443\) | − | 3974.09i | − | 0.426218i | −0.977028 | − | 0.213109i | \(-0.931641\pi\) | ||
0.977028 | − | 0.213109i | \(-0.0683589\pi\) | |||||||
\(444\) | −2996.17 | −0.320252 | ||||||||
\(445\) | −6523.06 | + | 9441.74i | −0.694882 | + | 1.00580i | ||||
\(446\) | −305.903 | −0.0324774 | ||||||||
\(447\) | − | 6269.82i | − | 0.663428i | ||||||
\(448\) | − | 1908.78i | − | 0.201298i | ||||||
\(449\) | 15243.1 | 1.60216 | 0.801078 | − | 0.598559i | \(-0.204260\pi\) | ||||
0.801078 | + | 0.598559i | \(0.204260\pi\) | |||||||
\(450\) | −4069.81 | + | 1539.54i | −0.426339 | + | 0.161277i | ||||
\(451\) | −9764.40 | −1.01948 | ||||||||
\(452\) | − | 5428.95i | − | 0.564947i | ||||||
\(453\) | 252.021i | 0.0261390i | ||||||||
\(454\) | −5280.67 | −0.545890 | ||||||||
\(455\) | −2024.79 | + | 2930.77i | −0.208623 | + | 0.301970i | ||||
\(456\) | −6899.89 | −0.708590 | ||||||||
\(457\) | − | 10768.9i | − | 1.10229i | −0.834410 | − | 0.551145i | \(-0.814191\pi\) | ||
0.834410 | − | 0.551145i | \(-0.185809\pi\) | |||||||
\(458\) | 10071.7i | 1.02755i | ||||||||
\(459\) | −10963.5 | −1.11489 | ||||||||
\(460\) | −7572.27 | − | 5231.49i | −0.767520 | − | 0.530260i | ||||
\(461\) | −332.605 | −0.0336029 | −0.0168015 | − | 0.999859i | \(-0.505348\pi\) | ||||
−0.0168015 | + | 0.999859i | \(0.505348\pi\) | |||||||
\(462\) | − | 1684.13i | − | 0.169595i | ||||||
\(463\) | 8205.35i | 0.823618i | 0.911270 | + | 0.411809i | \(0.135103\pi\) | ||||
−0.911270 | + | 0.411809i | \(0.864897\pi\) | |||||||
\(464\) | 181.835 | 0.0181929 | ||||||||
\(465\) | 1136.93 | + | 785.473i | 0.113384 | + | 0.0783343i | ||||
\(466\) | 1575.76 | 0.156643 | ||||||||
\(467\) | − | 167.628i | − | 0.0166100i | −0.999966 | − | 0.00830501i | \(-0.997356\pi\) | ||
0.999966 | − | 0.00830501i | \(-0.00264360\pi\) | |||||||
\(468\) | 4912.47i | 0.485212i | ||||||||
\(469\) | 2845.49 | 0.280154 | ||||||||
\(470\) | −713.612 | + | 1032.91i | −0.0700351 | + | 0.101372i | ||||
\(471\) | −5831.75 | −0.570515 | ||||||||
\(472\) | − | 5323.06i | − | 0.519097i | ||||||
\(473\) | − | 8490.07i | − | 0.825315i | ||||||
\(474\) | 105.734 | 0.0102459 | ||||||||
\(475\) | 5536.18 | + | 14635.0i | 0.534773 | + | 1.41368i | ||||
\(476\) | −3345.01 | −0.322098 | ||||||||
\(477\) | − | 5582.52i | − | 0.535862i | ||||||
\(478\) | 8641.86i | 0.826924i | ||||||||
\(479\) | −6628.58 | −0.632292 | −0.316146 | − | 0.948711i | \(-0.602389\pi\) | ||||
−0.316146 | + | 0.948711i | \(0.602389\pi\) | |||||||
\(480\) | 2922.55 | − | 4230.23i | 0.277908 | − | 0.402255i | ||||
\(481\) | −10528.2 | −0.998010 | ||||||||
\(482\) | 777.001i | 0.0734262i | ||||||||
\(483\) | 2766.98i | 0.260667i | ||||||||
\(484\) | 10311.7 | 0.968419 | ||||||||
\(485\) | −8671.11 | − | 5990.65i | −0.811824 | − | 0.560868i | ||||
\(486\) | 6492.05 | 0.605937 | ||||||||
\(487\) | − | 20641.6i | − | 1.92065i | −0.278875 | − | 0.960327i | \(-0.589961\pi\) | ||
0.278875 | − | 0.960327i | \(-0.410039\pi\) | |||||||
\(488\) | − | 1999.28i | − | 0.185458i | ||||||
\(489\) | −3305.01 | −0.305640 | ||||||||
\(490\) | 755.044 | + | 521.641i | 0.0696111 | + | 0.0480925i | ||||
\(491\) | −16710.8 | −1.53594 | −0.767972 | − | 0.640484i | \(-0.778734\pi\) | ||||
−0.767972 | + | 0.640484i | \(0.778734\pi\) | |||||||
\(492\) | 2196.30i | 0.201253i | ||||||||
\(493\) | 3695.92i | 0.337639i | ||||||||
\(494\) | −9544.32 | −0.869270 | ||||||||
\(495\) | −7605.01 | + | 11007.8i | −0.690545 | + | 0.999523i | ||||
\(496\) | 224.331 | 0.0203080 | ||||||||
\(497\) | 2315.47i | 0.208980i | ||||||||
\(498\) | − | 1571.91i | − | 0.141444i | ||||||
\(499\) | 13728.7 | 1.23162 | 0.615812 | − | 0.787893i | \(-0.288828\pi\) | ||||
0.615812 | + | 0.787893i | \(0.288828\pi\) | |||||||
\(500\) | −7045.47 | − | 1746.03i | −0.630166 | − | 0.156170i | ||||
\(501\) | −5202.90 | −0.463969 | ||||||||
\(502\) | − | 3836.54i | − | 0.341102i | ||||||
\(503\) | 19523.7i | 1.73065i | 0.501209 | + | 0.865326i | \(0.332889\pi\) | ||||
−0.501209 | + | 0.865326i | \(0.667111\pi\) | |||||||
\(504\) | 3214.95 | 0.284138 | ||||||||
\(505\) | −3842.37 | + | 5561.60i | −0.338580 | + | 0.490075i | ||||
\(506\) | 15290.0 | 1.34333 | ||||||||
\(507\) | 312.490i | 0.0273731i | ||||||||
\(508\) | 1354.17i | 0.118271i | ||||||||
\(509\) | 8688.17 | 0.756574 | 0.378287 | − | 0.925688i | \(-0.376513\pi\) | ||||
0.378287 | + | 0.925688i | \(0.376513\pi\) | |||||||
\(510\) | 3535.72 | + | 2442.74i | 0.306989 | + | 0.212091i | ||||
\(511\) | 3823.78 | 0.331026 | ||||||||
\(512\) | − | 1635.04i | − | 0.141131i | ||||||
\(513\) | − | 14916.3i | − | 1.28377i | ||||||
\(514\) | −1343.82 | −0.115318 | ||||||||
\(515\) | 2768.46 | + | 1912.66i | 0.236880 | + | 0.163654i | ||||
\(516\) | −1909.66 | −0.162923 | ||||||||
\(517\) | 3860.28i | 0.328385i | ||||||||
\(518\) | 2712.34i | 0.230064i | ||||||||
\(519\) | 4783.89 | 0.404604 | ||||||||
\(520\) | 6393.08 | − | 9253.60i | 0.539144 | − | 0.780380i | ||||
\(521\) | 6771.36 | 0.569402 | 0.284701 | − | 0.958616i | \(-0.408106\pi\) | ||||
0.284701 | + | 0.958616i | \(0.408106\pi\) | |||||||
\(522\) | − | 1398.35i | − | 0.117249i | ||||||
\(523\) | 1365.89i | 0.114200i | 0.998368 | + | 0.0570998i | \(0.0181853\pi\) | ||||
−0.998368 | + | 0.0570998i | \(0.981815\pi\) | |||||||
\(524\) | −3757.85 | −0.313287 | ||||||||
\(525\) | 772.099 | + | 2041.06i | 0.0641851 | + | 0.169675i | ||||
\(526\) | 480.735 | 0.0398499 | ||||||||
\(527\) | 4559.68i | 0.376894i | ||||||||
\(528\) | − | 650.113i | − | 0.0535844i | ||||||
\(529\) | −12954.0 | −1.06469 | ||||||||
\(530\) | −2859.94 | + | 4139.60i | −0.234392 | + | 0.339269i | ||||
\(531\) | 5004.75 | 0.409016 | ||||||||
\(532\) | − | 4551.04i | − | 0.370888i | ||||||
\(533\) | 7717.51i | 0.627171i | ||||||||
\(534\) | −4288.24 | −0.347510 | ||||||||
\(535\) | 13905.1 | + | 9606.67i | 1.12368 | + | 0.776322i | ||||
\(536\) | −8984.34 | −0.724001 | ||||||||
\(537\) | − | 1568.82i | − | 0.126070i | ||||||
\(538\) | 5965.62i | 0.478060i | ||||||||
\(539\) | 2821.81 | 0.225499 | ||||||||
\(540\) | 5693.05 | + | 3933.18i | 0.453685 | + | 0.313439i | ||||
\(541\) | −23250.1 | −1.84769 | −0.923844 | − | 0.382770i | \(-0.874970\pi\) | ||||
−0.923844 | + | 0.382770i | \(0.874970\pi\) | |||||||
\(542\) | − | 3231.06i | − | 0.256063i | ||||||
\(543\) | − | 6985.22i | − | 0.552052i | ||||||
\(544\) | 16965.5 | 1.33711 | ||||||||
\(545\) | 11229.9 | − | 16254.7i | 0.882638 | − | 1.27757i | ||||
\(546\) | −1331.09 | −0.104332 | ||||||||
\(547\) | − | 11552.7i | − | 0.903033i | −0.892263 | − | 0.451516i | \(-0.850883\pi\) | ||
0.892263 | − | 0.451516i | \(-0.149117\pi\) | |||||||
\(548\) | 4018.43i | 0.313246i | ||||||||
\(549\) | 1879.73 | 0.146129 | ||||||||
\(550\) | 11278.6 | − | 4266.52i | 0.874406 | − | 0.330773i | ||||
\(551\) | −5028.47 | −0.388784 | ||||||||
\(552\) | − | 8736.48i | − | 0.673640i | ||||||
\(553\) | 177.161i | 0.0136232i | ||||||||
\(554\) | 11037.1 | 0.846430 | ||||||||
\(555\) | −3666.04 | + | 5306.38i | −0.280387 | + | 0.405844i | ||||
\(556\) | 15337.2 | 1.16986 | ||||||||
\(557\) | − | 16406.2i | − | 1.24803i | −0.781413 | − | 0.624014i | \(-0.785501\pi\) | ||
0.781413 | − | 0.624014i | \(-0.214499\pi\) | |||||||
\(558\) | − | 1725.16i | − | 0.130881i | ||||||
\(559\) | −6710.31 | −0.507721 | ||||||||
\(560\) | 291.464 | + | 201.365i | 0.0219939 | + | 0.0151950i | ||||
\(561\) | 13214.0 | 0.994465 | ||||||||
\(562\) | − | 1366.18i | − | 0.102542i | ||||||
\(563\) | − | 13631.9i | − | 1.02045i | −0.860040 | − | 0.510227i | \(-0.829561\pi\) | ||
0.860040 | − | 0.510227i | \(-0.170439\pi\) | |||||||
\(564\) | 868.289 | 0.0648255 | ||||||||
\(565\) | −9614.95 | − | 6642.72i | −0.715936 | − | 0.494622i | ||||
\(566\) | 10911.2 | 0.810300 | ||||||||
\(567\) | 1847.15i | 0.136813i | ||||||||
\(568\) | − | 7310.88i | − | 0.540067i | ||||||
\(569\) | 3086.83 | 0.227428 | 0.113714 | − | 0.993514i | \(-0.463725\pi\) | ||||
0.113714 | + | 0.993514i | \(0.463725\pi\) | |||||||
\(570\) | −3323.46 | + | 4810.51i | −0.244218 | + | 0.353491i | ||||
\(571\) | −3258.06 | −0.238784 | −0.119392 | − | 0.992847i | \(-0.538095\pi\) | ||||
−0.119392 | + | 0.992847i | \(0.538095\pi\) | |||||||
\(572\) | − | 13613.9i | − | 0.995152i | ||||||
\(573\) | 1846.17i | 0.134598i | ||||||||
\(574\) | 1988.24 | 0.144577 | ||||||||
\(575\) | −18530.5 | + | 7009.78i | −1.34396 | + | 0.508396i | ||||
\(576\) | −5666.39 | −0.409895 | ||||||||
\(577\) | 23758.4i | 1.71417i | 0.515178 | + | 0.857083i | \(0.327726\pi\) | ||||
−0.515178 | + | 0.857083i | \(0.672274\pi\) | |||||||
\(578\) | 5950.07i | 0.428184i | ||||||||
\(579\) | 10181.8 | 0.730812 | ||||||||
\(580\) | 1325.92 | − | 1919.19i | 0.0949238 | − | 0.137397i | ||||
\(581\) | 2633.78 | 0.188068 | ||||||||
\(582\) | − | 3938.23i | − | 0.280490i | ||||||
\(583\) | 15470.8i | 1.09903i | ||||||||
\(584\) | −12073.2 | −0.855468 | ||||||||
\(585\) | 8700.25 | + | 6010.78i | 0.614891 | + | 0.424812i | ||||
\(586\) | −729.566 | −0.0514302 | ||||||||
\(587\) | 596.893i | 0.0419701i | 0.999780 | + | 0.0209850i | \(0.00668023\pi\) | ||||
−0.999780 | + | 0.0209850i | \(0.993320\pi\) | |||||||
\(588\) | − | 634.708i | − | 0.0445151i | ||||||
\(589\) | −6203.66 | −0.433985 | ||||||||
\(590\) | −3711.16 | − | 2563.95i | −0.258960 | − | 0.178909i | ||||
\(591\) | −8516.60 | −0.592768 | ||||||||
\(592\) | 1047.02i | 0.0726898i | ||||||||
\(593\) | − | 19496.3i | − | 1.35012i | −0.737765 | − | 0.675058i | \(-0.764119\pi\) | ||
0.737765 | − | 0.675058i | \(-0.235881\pi\) | |||||||
\(594\) | −11495.5 | −0.794047 | ||||||||
\(595\) | −4092.88 | + | 5924.20i | −0.282003 | + | 0.408182i | ||||
\(596\) | −13057.3 | −0.897396 | ||||||||
\(597\) | 8460.62i | 0.580017i | ||||||||
\(598\) | − | 12084.8i | − | 0.826395i | ||||||
\(599\) | −3797.02 | −0.259001 | −0.129501 | − | 0.991579i | \(-0.541337\pi\) | ||||
−0.129501 | + | 0.991579i | \(0.541337\pi\) | |||||||
\(600\) | −2437.83 | − | 6444.45i | −0.165873 | − | 0.438489i | ||||
\(601\) | 5789.33 | 0.392931 | 0.196466 | − | 0.980511i | \(-0.437054\pi\) | ||||
0.196466 | + | 0.980511i | \(0.437054\pi\) | |||||||
\(602\) | 1728.76i | 0.117041i | ||||||||
\(603\) | − | 8447.09i | − | 0.570468i | ||||||
\(604\) | 524.850 | 0.0353573 | ||||||||
\(605\) | 12617.2 | − | 18262.6i | 0.847869 | − | 1.22724i | ||||
\(606\) | −2525.96 | −0.169324 | ||||||||
\(607\) | 18536.4i | 1.23949i | 0.784803 | + | 0.619745i | \(0.212764\pi\) | ||||
−0.784803 | + | 0.619745i | \(0.787236\pi\) | |||||||
\(608\) | 23082.3i | 1.53966i | ||||||||
\(609\) | −701.291 | −0.0466630 | ||||||||
\(610\) | −1393.87 | − | 962.991i | −0.0925184 | − | 0.0639186i | ||||
\(611\) | 3051.06 | 0.202017 | ||||||||
\(612\) | 9929.98i | 0.655876i | ||||||||
\(613\) | − | 2163.47i | − | 0.142548i | −0.997457 | − | 0.0712738i | \(-0.977294\pi\) | ||
0.997457 | − | 0.0712738i | \(-0.0227064\pi\) | |||||||
\(614\) | −8235.08 | −0.541272 | ||||||||
\(615\) | 3889.76 | + | 2687.34i | 0.255041 | + | 0.176201i | ||||
\(616\) | −8909.59 | −0.582756 | ||||||||
\(617\) | 22964.9i | 1.49843i | 0.662327 | + | 0.749215i | \(0.269569\pi\) | ||||
−0.662327 | + | 0.749215i | \(0.730431\pi\) | |||||||
\(618\) | 1257.38i | 0.0818433i | ||||||||
\(619\) | 1386.67 | 0.0900401 | 0.0450200 | − | 0.998986i | \(-0.485665\pi\) | ||||
0.0450200 | + | 0.998986i | \(0.485665\pi\) | |||||||
\(620\) | 1635.80 | − | 2367.72i | 0.105960 | − | 0.153371i | ||||
\(621\) | 18886.7 | 1.22045 | ||||||||
\(622\) | 3067.41i | 0.197736i | ||||||||
\(623\) | − | 7185.06i | − | 0.462060i | ||||||
\(624\) | −513.831 | −0.0329643 | ||||||||
\(625\) | −11713.0 | + | 10341.5i | −0.749631 | + | 0.661856i | ||||
\(626\) | 4092.35 | 0.261283 | ||||||||
\(627\) | 17978.2i | 1.14510i | ||||||||
\(628\) | 12145.0i | 0.771716i | ||||||||
\(629\) | −21281.4 | −1.34904 | ||||||||
\(630\) | 1548.54 | − | 2241.42i | 0.0979291 | − | 0.141747i | ||||
\(631\) | 5969.39 | 0.376605 | 0.188303 | − | 0.982111i | \(-0.439701\pi\) | ||||
0.188303 | + | 0.982111i | \(0.439701\pi\) | |||||||
\(632\) | − | 559.367i | − | 0.0352064i | ||||||
\(633\) | 8474.57i | 0.532123i | ||||||||
\(634\) | 2791.14 | 0.174843 | ||||||||
\(635\) | 2398.31 | + | 1656.93i | 0.149880 | + | 0.103548i | ||||
\(636\) | 3479.84 | 0.216957 | ||||||||
\(637\) | − | 2230.28i | − | 0.138724i | ||||||
\(638\) | 3875.25i | 0.240474i | ||||||||
\(639\) | 6873.70 | 0.425539 | ||||||||
\(640\) | −9367.71 | − | 6471.91i | −0.578580 | − | 0.399726i | ||||
\(641\) | 30367.1 | 1.87118 | 0.935592 | − | 0.353084i | \(-0.114867\pi\) | ||||
0.935592 | + | 0.353084i | \(0.114867\pi\) | |||||||
\(642\) | 6315.40i | 0.388238i | ||||||||
\(643\) | − | 28592.2i | − | 1.75360i | −0.480851 | − | 0.876802i | \(-0.659672\pi\) | ||
0.480851 | − | 0.876802i | \(-0.340328\pi\) | |||||||
\(644\) | 5762.42 | 0.352595 | ||||||||
\(645\) | −2336.62 | + | 3382.12i | −0.142642 | + | 0.206466i | ||||
\(646\) | −19292.7 | −1.17502 | ||||||||
\(647\) | − | 14507.9i | − | 0.881555i | −0.897616 | − | 0.440778i | \(-0.854703\pi\) | ||
0.897616 | − | 0.440778i | \(-0.145297\pi\) | |||||||
\(648\) | − | 5832.21i | − | 0.353566i | ||||||
\(649\) | −13869.7 | −0.838877 | ||||||||
\(650\) | −3372.14 | − | 8914.33i | −0.203487 | − | 0.537921i | ||||
\(651\) | −865.188 | −0.0520882 | ||||||||
\(652\) | 6882.89i | 0.413428i | ||||||||
\(653\) | − | 6999.85i | − | 0.419488i | −0.977756 | − | 0.209744i | \(-0.932737\pi\) | ||
0.977756 | − | 0.209744i | \(-0.0672630\pi\) | |||||||
\(654\) | 7382.53 | 0.441406 | ||||||||
\(655\) | −4598.01 | + | 6655.35i | −0.274289 | + | 0.397017i | ||||
\(656\) | 767.504 | 0.0456799 | ||||||||
\(657\) | − | 11351.3i | − | 0.674056i | ||||||
\(658\) | − | 786.035i | − | 0.0465696i | ||||||
\(659\) | −7308.92 | −0.432041 | −0.216020 | − | 0.976389i | \(-0.569308\pi\) | ||||
−0.216020 | + | 0.976389i | \(0.569308\pi\) | |||||||
\(660\) | −6861.66 | − | 4740.55i | −0.404681 | − | 0.279584i | ||||
\(661\) | −30097.2 | −1.77102 | −0.885512 | − | 0.464617i | \(-0.846192\pi\) | ||||
−0.885512 | + | 0.464617i | \(0.846192\pi\) | |||||||
\(662\) | 9157.07i | 0.537613i | ||||||||
\(663\) | − | 10444.0i | − | 0.611779i | ||||||
\(664\) | −8315.91 | −0.486024 | ||||||||
\(665\) | −8060.14 | − | 5568.54i | −0.470013 | − | 0.324720i | ||||
\(666\) | 8051.83 | 0.468472 | ||||||||
\(667\) | − | 6366.92i | − | 0.369608i | ||||||
\(668\) | 10835.4i | 0.627594i | ||||||||
\(669\) | 455.425 | 0.0263195 | ||||||||
\(670\) | −4327.47 | + | 6263.76i | −0.249529 | + | 0.361179i | ||||
\(671\) | −5209.29 | −0.299706 | ||||||||
\(672\) | 3219.16i | 0.184794i | ||||||||
\(673\) | 5400.26i | 0.309309i | 0.987969 | + | 0.154654i | \(0.0494264\pi\) | ||||
−0.987969 | + | 0.154654i | \(0.950574\pi\) | |||||||
\(674\) | 17841.3 | 1.01962 | ||||||||
\(675\) | 13931.7 | − | 5270.15i | 0.794419 | − | 0.300516i | ||||
\(676\) | 650.781 | 0.0370267 | ||||||||
\(677\) | 6431.09i | 0.365091i | 0.983197 | + | 0.182546i | \(0.0584338\pi\) | ||||
−0.983197 | + | 0.182546i | \(0.941566\pi\) | |||||||
\(678\) | − | 4366.91i | − | 0.247360i | ||||||
\(679\) | 6598.62 | 0.372948 | ||||||||
\(680\) | 12922.9 | − | 18705.1i | 0.728778 | − | 1.05486i | ||||
\(681\) | 7861.79 | 0.442385 | ||||||||
\(682\) | 4780.92i | 0.268433i | ||||||||
\(683\) | 20865.8i | 1.16897i | 0.811404 | + | 0.584486i | \(0.198704\pi\) | ||||
−0.811404 | + | 0.584486i | \(0.801296\pi\) | |||||||
\(684\) | −13510.2 | −0.755227 | ||||||||
\(685\) | 7116.86 | + | 4916.86i | 0.396965 | + | 0.274253i | ||||
\(686\) | −574.581 | −0.0319790 | ||||||||
\(687\) | − | 14994.6i | − | 0.832720i | ||||||
\(688\) | 667.339i | 0.0369797i | ||||||||
\(689\) | 12227.7 | 0.676109 | ||||||||
\(690\) | −6090.95 | − | 4208.08i | −0.336056 | − | 0.232172i | ||||
\(691\) | 18450.3 | 1.01575 | 0.507873 | − | 0.861432i | \(-0.330432\pi\) | ||||
0.507873 | + | 0.861432i | \(0.330432\pi\) | |||||||
\(692\) | − | 9962.76i | − | 0.547294i | ||||||
\(693\) | − | 8376.81i | − | 0.459176i | ||||||
\(694\) | 6732.70 | 0.368256 | ||||||||
\(695\) | 18766.2 | − | 27163.0i | 1.02424 | − | 1.48252i | ||||
\(696\) | 2214.26 | 0.120591 | ||||||||
\(697\) | 15600.0i | 0.847766i | ||||||||
\(698\) | 17664.4i | 0.957890i | ||||||||
\(699\) | −2345.97 | −0.126942 | ||||||||
\(700\) | 4250.64 | − | 1607.95i | 0.229513 | − | 0.0868209i | ||||
\(701\) | 12639.3 | 0.680996 | 0.340498 | − | 0.940245i | \(-0.389404\pi\) | ||||
0.340498 | + | 0.940245i | \(0.389404\pi\) | |||||||
\(702\) | 9085.69i | 0.488486i | ||||||||
\(703\) | − | 28954.4i | − | 1.55339i | ||||||
\(704\) | 15703.3 | 0.840680 | ||||||||
\(705\) | 1062.42 | − | 1537.79i | 0.0567560 | − | 0.0821509i | ||||
\(706\) | −4958.45 | −0.264325 | ||||||||
\(707\) | − | 4232.32i | − | 0.225138i | ||||||
\(708\) | 3119.69i | 0.165600i | ||||||||
\(709\) | 23126.8 | 1.22503 | 0.612514 | − | 0.790460i | \(-0.290158\pi\) | ||||
0.612514 | + | 0.790460i | \(0.290158\pi\) | |||||||
\(710\) | −5097.04 | − | 3521.42i | −0.269421 | − | 0.186136i | ||||
\(711\) | 525.918 | 0.0277404 | ||||||||
\(712\) | 22686.1i | 1.19410i | ||||||||
\(713\) | − | 7854.92i | − | 0.412579i | ||||||
\(714\) | −2690.65 | −0.141029 | ||||||||
\(715\) | −24111.0 | − | 16657.7i | −1.26112 | − | 0.871275i | ||||
\(716\) | −3267.16 | −0.170530 | ||||||||
\(717\) | − | 12865.9i | − | 0.670134i | ||||||
\(718\) | 3635.39i | 0.188957i | ||||||||
\(719\) | 24093.1 | 1.24968 | 0.624841 | − | 0.780752i | \(-0.285164\pi\) | ||||
0.624841 | + | 0.780752i | \(0.285164\pi\) | |||||||
\(720\) | 597.771 | − | 865.238i | 0.0309411 | − | 0.0447854i | ||||
\(721\) | −2106.77 | −0.108821 | ||||||||
\(722\) | − | 14758.7i | − | 0.760750i | ||||||
\(723\) | − | 1156.79i | − | 0.0595041i | ||||||
\(724\) | −14547.2 | −0.746741 | ||||||||
\(725\) | −1776.63 | − | 4696.55i | −0.0910100 | − | 0.240587i | ||||
\(726\) | 8294.49 | 0.424019 | ||||||||
\(727\) | 35983.4i | 1.83570i | 0.396931 | + | 0.917849i | \(0.370075\pi\) | ||||
−0.396931 | + | 0.917849i | \(0.629925\pi\) | |||||||
\(728\) | 7041.89i | 0.358503i | ||||||||
\(729\) | −2540.55 | −0.129073 | ||||||||
\(730\) | −5815.28 | + | 8417.28i | −0.294840 | + | 0.426764i | ||||
\(731\) | −13564.1 | −0.686302 | ||||||||
\(732\) | 1171.72i | 0.0591640i | ||||||||
\(733\) | 1451.50i | 0.0731413i | 0.999331 | + | 0.0365706i | \(0.0116434\pi\) | ||||
−0.999331 | + | 0.0365706i | \(0.988357\pi\) | |||||||
\(734\) | −2097.64 | −0.105484 | ||||||||
\(735\) | −1124.10 | − | 776.613i | −0.0564124 | − | 0.0389739i | ||||
\(736\) | −29226.3 | −1.46371 | ||||||||
\(737\) | 23409.4i | 1.17001i | ||||||||
\(738\) | − | 5902.27i | − | 0.294398i | ||||||
\(739\) | 5891.67 | 0.293273 | 0.146636 | − | 0.989190i | \(-0.453155\pi\) | ||||
0.146636 | + | 0.989190i | \(0.453155\pi\) | |||||||
\(740\) | 11050.9 | + | 7634.77i | 0.548970 | + | 0.379270i | ||||
\(741\) | 14209.5 | 0.704451 | ||||||||
\(742\) | − | 3150.19i | − | 0.155859i | ||||||
\(743\) | − | 7438.65i | − | 0.367292i | −0.982992 | − | 0.183646i | \(-0.941210\pi\) | ||
0.982992 | − | 0.183646i | \(-0.0587900\pi\) | |||||||
\(744\) | 2731.75 | 0.134611 | ||||||||
\(745\) | −15976.6 | + | 23125.2i | −0.785688 | + | 1.13724i | ||||
\(746\) | −7782.84 | −0.381970 | ||||||||
\(747\) | − | 7818.64i | − | 0.382957i | ||||||
\(748\) | − | 27518.9i | − | 1.34518i | ||||||
\(749\) | −10581.6 | −0.516214 | ||||||||
\(750\) | −5667.20 | − | 1404.47i | −0.275916 | − | 0.0683784i | ||||
\(751\) | 20272.4 | 0.985018 | 0.492509 | − | 0.870307i | \(-0.336080\pi\) | ||||
0.492509 | + | 0.870307i | \(0.336080\pi\) | |||||||
\(752\) | − | 303.427i | − | 0.0147139i | ||||||
\(753\) | 5711.80i | 0.276427i | ||||||||
\(754\) | 3062.89 | 0.147936 | ||||||||
\(755\) | 642.193 | − | 929.537i | 0.0309560 | − | 0.0448070i | ||||
\(756\) | −4332.35 | −0.208421 | ||||||||
\(757\) | − | 10193.8i | − | 0.489432i | −0.969595 | − | 0.244716i | \(-0.921305\pi\) | ||
0.969595 | − | 0.244716i | \(-0.0786947\pi\) | |||||||
\(758\) | 2403.59i | 0.115174i | ||||||||
\(759\) | −22763.6 | −1.08862 | ||||||||
\(760\) | 25449.1 | + | 17582.1i | 1.21465 | + | 0.839172i | ||||
\(761\) | −41117.6 | −1.95862 | −0.979311 | − | 0.202362i | \(-0.935138\pi\) | ||||
−0.979311 | + | 0.202362i | \(0.935138\pi\) | |||||||
\(762\) | 1089.26i | 0.0517845i | ||||||||
\(763\) | 12369.6i | 0.586908i | ||||||||
\(764\) | 3844.76 | 0.182066 | ||||||||
\(765\) | 17586.5 | + | 12150.1i | 0.831167 | + | 0.574232i | ||||
\(766\) | 22140.2 | 1.04433 | ||||||||
\(767\) | 10962.2i | 0.516065i | ||||||||
\(768\) | − | 9695.10i | − | 0.455523i | ||||||
\(769\) | −11486.6 | −0.538642 | −0.269321 | − | 0.963050i | \(-0.586799\pi\) | ||||
−0.269321 | + | 0.963050i | \(0.586799\pi\) | |||||||
\(770\) | −4291.47 | + | 6211.64i | −0.200849 | + | 0.290717i | ||||
\(771\) | 2000.66 | 0.0934527 | ||||||||
\(772\) | − | 21204.2i | − | 0.988544i | ||||||
\(773\) | 21799.2i | 1.01431i | 0.861854 | + | 0.507156i | \(0.169303\pi\) | ||||
−0.861854 | + | 0.507156i | \(0.830697\pi\) | |||||||
\(774\) | 5131.98 | 0.238327 | ||||||||
\(775\) | −2191.84 | − | 5794.17i | −0.101591 | − | 0.268558i | ||||
\(776\) | −20834.5 | −0.963807 | ||||||||
\(777\) | − | 4038.10i | − | 0.186443i | ||||||
\(778\) | − | 12990.9i | − | 0.598645i | ||||||
\(779\) | −21224.5 | −0.976185 |