Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,5,Mod(23,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 2]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.23");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.l (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.85611719437\) |
Analytic rank: | \(0\) |
Dimension: | \(228\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 23.9 | ||
Character | \(\chi\) | \(=\) | 76.23 |
Dual form | 76.5.l.a.43.9 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.08499 | − | 2.54614i | −0.771247 | − | 0.636536i | ||||
\(3\) | 1.55169 | − | 0.273604i | 0.172410 | − | 0.0304005i | −0.0867768 | − | 0.996228i | \(-0.527657\pi\) |
0.259186 | + | 0.965827i | \(0.416546\pi\) | |||||||
\(4\) | 3.03431 | + | 15.7096i | 0.189644 | + | 0.981853i | ||||
\(5\) | 3.23088 | − | 2.71103i | 0.129235 | − | 0.108441i | −0.575879 | − | 0.817535i | \(-0.695340\pi\) |
0.705114 | + | 0.709094i | \(0.250896\pi\) | |||||||
\(6\) | −5.48357 | − | 3.10675i | −0.152321 | − | 0.0862987i | ||||
\(7\) | −4.97171 | − | 2.87042i | −0.101463 | − | 0.0585800i | 0.448410 | − | 0.893828i | \(-0.351991\pi\) |
−0.549873 | + | 0.835248i | \(0.685324\pi\) | |||||||
\(8\) | 30.6382 | − | 56.1899i | 0.478722 | − | 0.877966i | ||||
\(9\) | −73.7822 | + | 26.8545i | −0.910892 | + | 0.331537i | ||||
\(10\) | −16.8699 | + | 0.137212i | −0.168699 | + | 0.00137212i | ||||
\(11\) | −133.376 | + | 77.0048i | −1.10228 | + | 0.636404i | −0.936820 | − | 0.349812i | \(-0.886245\pi\) |
−0.165464 | + | 0.986216i | \(0.552912\pi\) | |||||||
\(12\) | 9.00652 | + | 23.5463i | 0.0625453 | + | 0.163516i | ||||
\(13\) | −4.87717 | + | 27.6598i | −0.0288590 | + | 0.163667i | −0.995831 | − | 0.0912139i | \(-0.970925\pi\) |
0.966972 | + | 0.254881i | \(0.0820364\pi\) | |||||||
\(14\) | 8.02917 | + | 21.5139i | 0.0409652 | + | 0.109765i | ||||
\(15\) | 4.27157 | − | 5.09066i | 0.0189847 | − | 0.0226251i | ||||
\(16\) | −237.586 | + | 95.3357i | −0.928070 | + | 0.372405i | ||||
\(17\) | 485.628 | + | 176.754i | 1.68037 | + | 0.611606i | 0.993361 | − | 0.115039i | \(-0.0366993\pi\) |
0.687013 | + | 0.726645i | \(0.258922\pi\) | |||||||
\(18\) | 295.993 | + | 105.014i | 0.913558 | + | 0.324118i | ||||
\(19\) | −250.586 | + | 259.861i | −0.694145 | + | 0.719836i | ||||
\(20\) | 52.3928 | + | 42.5299i | 0.130982 | + | 0.106325i | ||||
\(21\) | −8.49990 | − | 3.09371i | −0.0192742 | − | 0.00701522i | ||||
\(22\) | 607.530 | + | 102.036i | 1.25523 | + | 0.210819i | ||||
\(23\) | −509.778 | + | 607.530i | −0.963663 | + | 1.14845i | 0.0252089 | + | 0.999682i | \(0.491975\pi\) |
−0.988872 | + | 0.148767i | \(0.952470\pi\) | |||||||
\(24\) | 32.1672 | − | 95.5718i | 0.0558458 | − | 0.165923i | ||||
\(25\) | −105.441 | + | 597.987i | −0.168706 | + | 0.956779i | ||||
\(26\) | 85.4718 | − | 72.9121i | 0.126438 | − | 0.107858i | ||||
\(27\) | −217.666 | + | 125.670i | −0.298582 | + | 0.172387i | ||||
\(28\) | 30.0076 | − | 86.8136i | 0.0382750 | − | 0.110732i | ||||
\(29\) | 722.448 | − | 262.950i | 0.859035 | − | 0.312663i | 0.125316 | − | 0.992117i | \(-0.460005\pi\) |
0.733718 | + | 0.679454i | \(0.237783\pi\) | |||||||
\(30\) | −26.1393 | + | 4.82859i | −0.0290436 | + | 0.00536510i | ||||
\(31\) | −881.441 | − | 508.900i | −0.917212 | − | 0.529553i | −0.0344677 | − | 0.999406i | \(-0.510974\pi\) |
−0.882745 | + | 0.469853i | \(0.844307\pi\) | |||||||
\(32\) | 975.688 | + | 310.818i | 0.952821 | + | 0.303534i | ||||
\(33\) | −185.889 | + | 155.980i | −0.170697 | + | 0.143232i | ||||
\(34\) | −1048.12 | − | 1781.76i | −0.906674 | − | 1.54132i | ||||
\(35\) | −23.8448 | + | 4.20448i | −0.0194651 | + | 0.00343223i | ||||
\(36\) | −645.753 | − | 1077.61i | −0.498266 | − | 0.831488i | ||||
\(37\) | −1275.89 | −0.931987 | −0.465993 | − | 0.884788i | \(-0.654303\pi\) | ||||
−0.465993 | + | 0.884788i | \(0.654303\pi\) | |||||||
\(38\) | 1434.70 | − | 163.638i | 0.993558 | − | 0.113323i | ||||
\(39\) | 44.2538i | 0.0290952i | ||||||||
\(40\) | −53.3440 | − | 264.604i | −0.0333400 | − | 0.165377i | ||||
\(41\) | −91.5083 | − | 518.969i | −0.0544368 | − | 0.308727i | 0.945416 | − | 0.325865i | \(-0.105656\pi\) |
−0.999853 | + | 0.0171384i | \(0.994544\pi\) | |||||||
\(42\) | 18.3451 | + | 31.1860i | 0.0103997 | + | 0.0176792i | ||||
\(43\) | 658.218 | + | 784.433i | 0.355986 | + | 0.424247i | 0.914082 | − | 0.405529i | \(-0.132913\pi\) |
−0.558097 | + | 0.829776i | \(0.688468\pi\) | |||||||
\(44\) | −1614.42 | − | 1861.64i | −0.833896 | − | 0.961590i | ||||
\(45\) | −165.578 | + | 286.790i | −0.0817670 | + | 0.141625i | ||||
\(46\) | 3119.52 | − | 576.254i | 1.47425 | − | 0.272332i | ||||
\(47\) | −855.180 | − | 2349.59i | −0.387135 | − | 1.06364i | −0.968285 | − | 0.249848i | \(-0.919619\pi\) |
0.581151 | − | 0.813796i | \(-0.302603\pi\) | |||||||
\(48\) | −342.575 | + | 212.936i | −0.148687 | + | 0.0924201i | ||||
\(49\) | −1184.02 | − | 2050.79i | −0.493137 | − | 0.854138i | ||||
\(50\) | 1847.85 | − | 1576.31i | 0.739138 | − | 0.630526i | ||||
\(51\) | 801.904 | + | 141.397i | 0.308306 | + | 0.0543627i | ||||
\(52\) | −449.324 | + | 7.30966i | −0.166170 | + | 0.00270328i | ||||
\(53\) | 1569.71 | + | 1317.15i | 0.558816 | + | 0.468902i | 0.877913 | − | 0.478820i | \(-0.158935\pi\) |
−0.319098 | + | 0.947722i | \(0.603380\pi\) | |||||||
\(54\) | 991.472 | + | 166.520i | 0.340011 | + | 0.0571057i | ||||
\(55\) | −222.160 | + | 610.381i | −0.0734415 | + | 0.201779i | ||||
\(56\) | −313.613 | + | 191.415i | −0.100004 | + | 0.0610380i | ||||
\(57\) | −317.733 | + | 471.784i | −0.0977939 | + | 0.145209i | ||||
\(58\) | −2898.25 | − | 1028.26i | −0.861549 | − | 0.305666i | ||||
\(59\) | −938.411 | + | 2578.26i | −0.269581 | + | 0.740667i | 0.728850 | + | 0.684673i | \(0.240055\pi\) |
−0.998431 | + | 0.0559941i | \(0.982167\pi\) | |||||||
\(60\) | 92.9337 | + | 51.6582i | 0.0258149 | + | 0.0143495i | ||||
\(61\) | 719.569 | + | 603.790i | 0.193380 | + | 0.162265i | 0.734337 | − | 0.678785i | \(-0.237493\pi\) |
−0.540957 | + | 0.841051i | \(0.681938\pi\) | |||||||
\(62\) | 1423.50 | + | 3814.23i | 0.370318 | + | 0.992255i | ||||
\(63\) | 443.908 | + | 78.2729i | 0.111844 | + | 0.0197211i | ||||
\(64\) | −2218.60 | − | 3443.11i | −0.541650 | − | 0.840604i | ||||
\(65\) | 59.2290 | + | 102.588i | 0.0140187 | + | 0.0242811i | ||||
\(66\) | 970.614 | − | 7.89451i | 0.222822 | − | 0.00181233i | ||||
\(67\) | −2408.51 | − | 6617.32i | −0.536535 | − | 1.47412i | −0.851162 | − | 0.524903i | \(-0.824102\pi\) |
0.314627 | − | 0.949215i | \(-0.398121\pi\) | |||||||
\(68\) | −1303.20 | + | 8165.37i | −0.281834 | + | 1.76587i | ||||
\(69\) | −624.793 | + | 1082.17i | −0.131232 | + | 0.227300i | ||||
\(70\) | 84.2662 | + | 47.7415i | 0.0171972 | + | 0.00974317i | ||||
\(71\) | 5808.88 | + | 6922.75i | 1.15233 | + | 1.37329i | 0.915786 | + | 0.401668i | \(0.131569\pi\) |
0.236541 | + | 0.971622i | \(0.423986\pi\) | |||||||
\(72\) | −751.604 | + | 4968.59i | −0.144985 | + | 0.958447i | ||||
\(73\) | −76.9586 | − | 436.454i | −0.0144415 | − | 0.0819016i | 0.976735 | − | 0.214449i | \(-0.0687955\pi\) |
−0.991177 | + | 0.132547i | \(0.957684\pi\) | |||||||
\(74\) | 3936.10 | + | 3248.60i | 0.718792 | + | 0.593243i | ||||
\(75\) | 956.738i | 0.170087i | ||||||||
\(76\) | −4842.67 | − | 3148.12i | −0.838413 | − | 0.545035i | ||||
\(77\) | 884.144 | 0.149122 | ||||||||
\(78\) | 112.676 | − | 136.522i | 0.0185201 | − | 0.0224396i | ||||
\(79\) | 5312.80 | − | 936.791i | 0.851275 | − | 0.150103i | 0.269046 | − | 0.963127i | \(-0.413292\pi\) |
0.582229 | + | 0.813025i | \(0.302181\pi\) | |||||||
\(80\) | −509.154 | + | 952.121i | −0.0795553 | + | 0.148769i | ||||
\(81\) | 4568.61 | − | 3833.52i | 0.696328 | − | 0.584288i | ||||
\(82\) | −1039.07 | + | 1834.01i | −0.154531 | + | 0.272756i | ||||
\(83\) | −5680.57 | − | 3279.68i | −0.824585 | − | 0.476074i | 0.0274101 | − | 0.999624i | \(-0.491274\pi\) |
−0.851995 | + | 0.523550i | \(0.824607\pi\) | |||||||
\(84\) | 22.8098 | − | 142.918i | 0.00323268 | − | 0.0202548i | ||||
\(85\) | 2048.19 | − | 745.481i | 0.283487 | − | 0.103181i | ||||
\(86\) | −33.3140 | − | 4095.88i | −0.00450432 | − | 0.553797i | ||||
\(87\) | 1049.07 | − | 605.681i | 0.138601 | − | 0.0800212i | ||||
\(88\) | 240.478 | + | 9853.68i | 0.0310535 | + | 1.27243i | ||||
\(89\) | −1168.66 | + | 6627.77i | −0.147539 | + | 0.836734i | 0.817755 | + | 0.575567i | \(0.195219\pi\) |
−0.965294 | + | 0.261167i | \(0.915893\pi\) | |||||||
\(90\) | 1241.01 | − | 463.157i | 0.153212 | − | 0.0571799i | ||||
\(91\) | 103.643 | − | 123.517i | 0.0125158 | − | 0.0149157i | ||||
\(92\) | −11090.9 | − | 6165.00i | −1.31036 | − | 0.728379i | ||||
\(93\) | −1506.96 | − | 548.488i | −0.174235 | − | 0.0634164i | ||||
\(94\) | −3344.17 | + | 9425.87i | −0.378471 | + | 1.06676i | ||||
\(95\) | −105.124 | + | 1518.93i | −0.0116481 | + | 0.168302i | ||||
\(96\) | 1599.00 | + | 215.341i | 0.173503 | + | 0.0233659i | ||||
\(97\) | −8554.45 | − | 3113.57i | −0.909178 | − | 0.330914i | −0.155253 | − | 0.987875i | \(-0.549619\pi\) |
−0.753924 | + | 0.656961i | \(0.771842\pi\) | |||||||
\(98\) | −1568.90 | + | 9341.34i | −0.163359 | + | 0.972651i | ||||
\(99\) | 7772.87 | − | 9263.35i | 0.793069 | − | 0.945143i | ||||
\(100\) | −9714.10 | + | 158.030i | −0.971410 | + | 0.0158030i | ||||
\(101\) | 1952.07 | − | 11070.8i | 0.191361 | − | 1.08526i | −0.726145 | − | 0.687541i | \(-0.758690\pi\) |
0.917506 | − | 0.397721i | \(-0.130199\pi\) | |||||||
\(102\) | −2113.85 | − | 2477.97i | −0.203176 | − | 0.238175i | ||||
\(103\) | 7222.23 | − | 4169.75i | 0.680764 | − | 0.393039i | −0.119379 | − | 0.992849i | \(-0.538090\pi\) |
0.800143 | + | 0.599809i | \(0.204757\pi\) | |||||||
\(104\) | 1404.77 | + | 1121.49i | 0.129879 | + | 0.103688i | ||||
\(105\) | −35.8493 | + | 13.0481i | −0.00325164 | + | 0.00118350i | ||||
\(106\) | −1488.90 | − | 8060.09i | −0.132512 | − | 0.717345i | ||||
\(107\) | 7498.03 | + | 4328.99i | 0.654907 | + | 0.378111i | 0.790334 | − | 0.612677i | \(-0.209907\pi\) |
−0.135427 | + | 0.990787i | \(0.543241\pi\) | |||||||
\(108\) | −2634.69 | − | 3038.14i | −0.225883 | − | 0.260472i | ||||
\(109\) | −9159.53 | + | 7685.76i | −0.770939 | + | 0.646895i | −0.940949 | − | 0.338548i | \(-0.890064\pi\) |
0.170010 | + | 0.985442i | \(0.445620\pi\) | |||||||
\(110\) | 2239.48 | − | 1317.36i | 0.185081 | − | 0.108873i | ||||
\(111\) | −1979.78 | + | 349.089i | −0.160684 | + | 0.0283328i | ||||
\(112\) | 1454.86 | + | 207.990i | 0.115981 | + | 0.0165808i | ||||
\(113\) | 1309.87 | 0.102582 | 0.0512911 | − | 0.998684i | \(-0.483666\pi\) | ||||
0.0512911 | + | 0.998684i | \(0.483666\pi\) | |||||||
\(114\) | 2181.43 | − | 646.455i | 0.167854 | − | 0.0497426i | ||||
\(115\) | 3344.88i | 0.252921i | ||||||||
\(116\) | 6322.98 | + | 10551.5i | 0.469900 | + | 0.784151i | ||||
\(117\) | −382.942 | − | 2171.77i | −0.0279745 | − | 0.158651i | ||||
\(118\) | 9459.61 | − | 5564.58i | 0.679375 | − | 0.399640i | ||||
\(119\) | −1907.04 | − | 2272.73i | −0.134669 | − | 0.160492i | ||||
\(120\) | −155.170 | − | 395.987i | −0.0107757 | − | 0.0274991i | ||||
\(121\) | 4538.99 | − | 7861.76i | 0.310019 | − | 0.536969i | ||||
\(122\) | −682.525 | − | 3694.81i | −0.0458563 | − | 0.248240i | ||||
\(123\) | −283.985 | − | 780.241i | −0.0187709 | − | 0.0515726i | ||||
\(124\) | 5320.08 | − | 15391.3i | 0.345999 | − | 1.00099i | ||||
\(125\) | 2598.50 | + | 4500.73i | 0.166304 | + | 0.288047i | ||||
\(126\) | −1170.16 | − | 1371.72i | −0.0737060 | − | 0.0864024i | ||||
\(127\) | 4656.05 | + | 820.988i | 0.288676 | + | 0.0509013i | 0.316111 | − | 0.948722i | \(-0.397623\pi\) |
−0.0274351 | + | 0.999624i | \(0.508734\pi\) | |||||||
\(128\) | −1922.31 | + | 16270.8i | −0.117329 | + | 0.993093i | ||||
\(129\) | 1235.97 | + | 1037.10i | 0.0742727 | + | 0.0623222i | ||||
\(130\) | 78.4821 | − | 467.287i | 0.00464391 | − | 0.0276501i | ||||
\(131\) | 1431.14 | − | 3932.01i | 0.0833946 | − | 0.229125i | −0.890986 | − | 0.454031i | \(-0.849985\pi\) |
0.974380 | + | 0.224906i | \(0.0722076\pi\) | |||||||
\(132\) | −3014.43 | − | 2446.97i | −0.173005 | − | 0.140437i | ||||
\(133\) | 1991.75 | − | 572.665i | 0.112598 | − | 0.0323741i | ||||
\(134\) | −9418.43 | + | 26546.7i | −0.524528 | + | 1.47843i | ||||
\(135\) | −362.560 | + | 996.125i | −0.0198935 | + | 0.0546570i | ||||
\(136\) | 24810.6 | − | 21871.9i | 1.34140 | − | 1.18252i | ||||
\(137\) | 13624.7 | + | 11432.5i | 0.725914 | + | 0.609114i | 0.929014 | − | 0.370044i | \(-0.120657\pi\) |
−0.203100 | + | 0.979158i | \(0.565102\pi\) | |||||||
\(138\) | 4682.85 | − | 1747.68i | 0.245896 | − | 0.0917706i | ||||
\(139\) | −23495.8 | − | 4142.95i | −1.21608 | − | 0.214427i | −0.471441 | − | 0.881898i | \(-0.656266\pi\) |
−0.744636 | + | 0.667471i | \(0.767377\pi\) | |||||||
\(140\) | −138.403 | − | 361.836i | −0.00706139 | − | 0.0184610i | ||||
\(141\) | −1969.83 | − | 3411.85i | −0.0990811 | − | 0.171613i | ||||
\(142\) | −294.001 | − | 36146.8i | −0.0145805 | − | 1.79264i | ||||
\(143\) | −1479.44 | − | 4064.72i | −0.0723477 | − | 0.198774i | ||||
\(144\) | 14969.4 | − | 13414.3i | 0.721905 | − | 0.646911i | ||||
\(145\) | 1621.28 | − | 2808.14i | 0.0771120 | − | 0.133562i | ||||
\(146\) | −873.857 | + | 1542.40i | −0.0409954 | + | 0.0723589i | ||||
\(147\) | −2398.34 | − | 2858.22i | −0.110988 | − | 0.132270i | ||||
\(148\) | −3871.44 | − | 20043.8i | −0.176746 | − | 0.915074i | ||||
\(149\) | −2226.67 | − | 12628.1i | −0.100296 | − | 0.568806i | −0.992995 | − | 0.118154i | \(-0.962303\pi\) |
0.892700 | − | 0.450652i | \(-0.148809\pi\) | |||||||
\(150\) | 2435.99 | − | 2951.53i | 0.108266 | − | 0.131179i | ||||
\(151\) | 22662.1i | 0.993906i | 0.867777 | + | 0.496953i | \(0.165548\pi\) | ||||
−0.867777 | + | 0.496953i | \(0.834452\pi\) | |||||||
\(152\) | 6924.01 | + | 22042.1i | 0.299689 | + | 0.954037i | ||||
\(153\) | −40577.4 | −1.73341 | ||||||||
\(154\) | −2727.58 | − | 2251.16i | −0.115010 | − | 0.0949215i | ||||
\(155\) | −4227.48 | + | 745.418i | −0.175962 | + | 0.0310268i | ||||
\(156\) | −695.211 | + | 134.279i | −0.0285672 | + | 0.00551773i | ||||
\(157\) | −16700.6 | + | 14013.4i | −0.677536 | + | 0.568520i | −0.915285 | − | 0.402807i | \(-0.868035\pi\) |
0.237750 | + | 0.971326i | \(0.423590\pi\) | |||||||
\(158\) | −18775.1 | − | 10637.2i | −0.752089 | − | 0.426101i | ||||
\(159\) | 2796.08 | + | 1614.32i | 0.110600 | + | 0.0638550i | ||||
\(160\) | 3994.97 | − | 1640.90i | 0.156054 | − | 0.0640978i | ||||
\(161\) | 4278.33 | − | 1557.19i | 0.165053 | − | 0.0600743i | ||||
\(162\) | −23854.8 | + | 194.023i | −0.908961 | + | 0.00739306i | ||||
\(163\) | −22117.5 | + | 12769.6i | −0.832456 | + | 0.480618i | −0.854693 | − | 0.519134i | \(-0.826254\pi\) |
0.0222371 | + | 0.999753i | \(0.492921\pi\) | |||||||
\(164\) | 7875.16 | − | 3012.27i | 0.292801 | − | 0.111997i | ||||
\(165\) | −177.721 | + | 1007.90i | −0.00652785 | + | 0.0370213i | ||||
\(166\) | 9173.95 | + | 24581.3i | 0.332920 | + | 0.892049i | ||||
\(167\) | −4082.77 | + | 4865.66i | −0.146394 | + | 0.174465i | −0.834258 | − | 0.551374i | \(-0.814104\pi\) |
0.687865 | + | 0.725839i | \(0.258548\pi\) | |||||||
\(168\) | −434.257 | + | 382.822i | −0.0153861 | + | 0.0135637i | ||||
\(169\) | 26097.3 | + | 9498.63i | 0.913738 | + | 0.332574i | ||||
\(170\) | −8216.75 | − | 2915.19i | −0.284317 | − | 0.100872i | ||||
\(171\) | 11510.4 | − | 25902.5i | 0.393638 | − | 0.885827i | ||||
\(172\) | −10325.9 | + | 12720.6i | −0.349038 | + | 0.429982i | ||||
\(173\) | 30183.9 | + | 10986.0i | 1.00852 | + | 0.367070i | 0.792863 | − | 0.609399i | \(-0.208589\pi\) |
0.215654 | + | 0.976470i | \(0.430812\pi\) | |||||||
\(174\) | −4778.52 | − | 802.565i | −0.157832 | − | 0.0265083i | ||||
\(175\) | 2240.70 | − | 2670.36i | 0.0731656 | − | 0.0871953i | ||||
\(176\) | 24347.0 | − | 31010.8i | 0.785996 | − | 1.00112i | ||||
\(177\) | −750.697 | + | 4257.41i | −0.0239617 | + | 0.135894i | ||||
\(178\) | 20480.6 | − | 17471.0i | 0.646400 | − | 0.551415i | ||||
\(179\) | −27520.8 | + | 15889.1i | −0.858924 | + | 0.495900i | −0.863652 | − | 0.504089i | \(-0.831829\pi\) |
0.00472755 | + | 0.999989i | \(0.498495\pi\) | |||||||
\(180\) | −5007.78 | − | 1730.97i | −0.154561 | − | 0.0534249i | ||||
\(181\) | 37449.1 | − | 13630.4i | 1.14310 | − | 0.416055i | 0.300069 | − | 0.953918i | \(-0.402990\pi\) |
0.843032 | + | 0.537863i | \(0.180768\pi\) | |||||||
\(182\) | −634.230 | + | 117.158i | −0.0191471 | + | 0.00353696i | ||||
\(183\) | 1281.74 | + | 740.016i | 0.0382736 | + | 0.0220973i | ||||
\(184\) | 18518.3 | + | 47258.0i | 0.546973 | + | 1.39585i | ||||
\(185\) | −4122.25 | + | 3458.98i | −0.120446 | + | 0.101066i | ||||
\(186\) | 3252.42 | + | 5529.01i | 0.0940114 | + | 0.159817i | ||||
\(187\) | −78382.2 | + | 13820.9i | −2.24148 | + | 0.395233i | ||||
\(188\) | 34316.3 | − | 20564.0i | 0.970924 | − | 0.581823i | ||||
\(189\) | 1442.90 | 0.0403936 | ||||||||
\(190\) | 4191.71 | − | 4418.21i | 0.116114 | − | 0.122388i | ||||
\(191\) | 69700.9i | 1.91061i | 0.295624 | + | 0.955304i | \(0.404472\pi\) | ||||
−0.295624 | + | 0.955304i | \(0.595528\pi\) | |||||||
\(192\) | −4384.62 | − | 4735.62i | −0.118941 | − | 0.128462i | ||||
\(193\) | 6188.82 | + | 35098.6i | 0.166147 | + | 0.942268i | 0.947874 | + | 0.318647i | \(0.103228\pi\) |
−0.781726 | + | 0.623622i | \(0.785661\pi\) | |||||||
\(194\) | 18462.8 | + | 31386.2i | 0.490562 | + | 0.833940i | ||||
\(195\) | 119.973 | + | 142.979i | 0.00315512 | + | 0.00376012i | ||||
\(196\) | 28624.4 | − | 24823.3i | 0.745117 | − | 0.646170i | ||||
\(197\) | −25000.2 | + | 43301.6i | −0.644186 | + | 1.11576i | 0.340303 | + | 0.940316i | \(0.389470\pi\) |
−0.984489 | + | 0.175446i | \(0.943863\pi\) | |||||||
\(198\) | −47565.0 | + | 8786.47i | −1.21327 | + | 0.224122i | ||||
\(199\) | 6138.95 | + | 16866.6i | 0.155020 | + | 0.425914i | 0.992754 | − | 0.120165i | \(-0.0383422\pi\) |
−0.837734 | + | 0.546079i | \(0.816120\pi\) | |||||||
\(200\) | 30370.3 | + | 24246.0i | 0.759256 | + | 0.606149i | ||||
\(201\) | −5547.78 | − | 9609.03i | −0.137318 | − | 0.237841i | ||||
\(202\) | −34209.9 | + | 29182.9i | −0.838396 | + | 0.715198i | ||||
\(203\) | −4346.58 | − | 766.419i | −0.105476 | − | 0.0185983i | ||||
\(204\) | 211.919 | + | 13026.7i | 0.00509226 | + | 0.313021i | ||||
\(205\) | −1702.59 | − | 1428.65i | −0.0405139 | − | 0.0339952i | ||||
\(206\) | −32897.3 | − | 5525.18i | −0.775221 | − | 0.130200i | ||||
\(207\) | 21297.6 | − | 58514.7i | 0.497039 | − | 1.36560i | ||||
\(208\) | −1478.22 | − | 7036.55i | −0.0341674 | − | 0.162642i | ||||
\(209\) | 13411.7 | − | 53955.6i | 0.307038 | − | 1.23522i | ||||
\(210\) | 143.817 | + | 51.0243i | 0.00326116 | + | 0.00115701i | ||||
\(211\) | 11464.2 | − | 31497.5i | 0.257500 | − | 0.707475i | −0.741820 | − | 0.670599i | \(-0.766037\pi\) |
0.999320 | − | 0.0368761i | \(-0.0117407\pi\) | |||||||
\(212\) | −15928.9 | + | 28656.3i | −0.354417 | + | 0.637599i | ||||
\(213\) | 10907.7 | + | 9152.61i | 0.240421 | + | 0.201737i | ||||
\(214\) | −12109.1 | − | 32445.9i | −0.264414 | − | 0.708488i | ||||
\(215\) | 4253.25 | + | 749.962i | 0.0920118 | + | 0.0162242i | ||||
\(216\) | 392.454 | + | 16080.9i | 0.00841164 | + | 0.344670i | ||||
\(217\) | 2921.51 | + | 5060.21i | 0.0620424 | + | 0.107461i | ||||
\(218\) | 47826.1 | − | 388.995i | 1.00636 | − | 0.00818523i | ||||
\(219\) | −238.831 | − | 656.183i | −0.00497970 | − | 0.0136816i | ||||
\(220\) | −10263.0 | − | 1637.98i | −0.212045 | − | 0.0338426i | ||||
\(221\) | −7257.47 | + | 12570.3i | −0.148594 | + | 0.257372i | ||||
\(222\) | 6996.44 | + | 3963.87i | 0.141962 | + | 0.0804292i | ||||
\(223\) | 61746.1 | + | 73586.1i | 1.24165 | + | 1.47974i | 0.819356 | + | 0.573284i | \(0.194331\pi\) |
0.422295 | + | 0.906458i | \(0.361225\pi\) | |||||||
\(224\) | −3958.66 | − | 4345.93i | −0.0788955 | − | 0.0866138i | ||||
\(225\) | −8278.97 | − | 46952.4i | −0.163535 | − | 0.927454i | ||||
\(226\) | −4040.94 | − | 3335.12i | −0.0791162 | − | 0.0652972i | ||||
\(227\) | − | 51545.0i | − | 1.00031i | −0.865935 | − | 0.500156i | \(-0.833276\pi\) | ||
0.865935 | − | 0.500156i | \(-0.166724\pi\) | |||||||
\(228\) | −8375.66 | − | 3559.93i | −0.161120 | − | 0.0684812i | ||||
\(229\) | −41174.4 | −0.785157 | −0.392579 | − | 0.919718i | \(-0.628417\pi\) | ||||
−0.392579 | + | 0.919718i | \(0.628417\pi\) | |||||||
\(230\) | 8516.55 | − | 10318.9i | 0.160993 | − | 0.195065i | ||||
\(231\) | 1371.92 | − | 241.906i | 0.0257101 | − | 0.00453338i | ||||
\(232\) | 7359.43 | − | 48650.6i | 0.136731 | − | 0.903883i | ||||
\(233\) | 13306.9 | − | 11165.8i | 0.245112 | − | 0.205673i | −0.511952 | − | 0.859014i | \(-0.671077\pi\) |
0.757064 | + | 0.653341i | \(0.226633\pi\) | |||||||
\(234\) | −4348.28 | + | 7674.93i | −0.0794119 | + | 0.140166i | ||||
\(235\) | −9132.79 | − | 5272.82i | −0.165374 | − | 0.0954789i | ||||
\(236\) | −43351.0 | − | 6918.87i | −0.778351 | − | 0.124226i | ||||
\(237\) | 7987.50 | − | 2907.21i | 0.142205 | − | 0.0517583i | ||||
\(238\) | 96.5201 | + | 11866.9i | 0.00170398 | + | 0.209500i | ||||
\(239\) | 51535.6 | − | 29754.1i | 0.902217 | − | 0.520895i | 0.0242984 | − | 0.999705i | \(-0.492265\pi\) |
0.877919 | + | 0.478809i | \(0.158931\pi\) | |||||||
\(240\) | −529.543 | + | 1616.70i | −0.00919346 | + | 0.0280677i | ||||
\(241\) | −5007.68 | + | 28400.0i | −0.0862190 | + | 0.488972i | 0.910868 | + | 0.412698i | \(0.135414\pi\) |
−0.997087 | + | 0.0762741i | \(0.975698\pi\) | |||||||
\(242\) | −34019.9 | + | 12696.5i | −0.580901 | + | 0.216797i | ||||
\(243\) | 19126.4 | − | 22793.9i | 0.323907 | − | 0.386017i | ||||
\(244\) | −7301.93 | + | 13136.2i | −0.122647 | + | 0.220644i | ||||
\(245\) | −9385.17 | − | 3415.92i | −0.156354 | − | 0.0569084i | ||||
\(246\) | −1110.52 | + | 3130.10i | −0.0183508 | + | 0.0517235i | ||||
\(247\) | −5965.54 | − | 8198.54i | −0.0977813 | − | 0.134383i | ||||
\(248\) | −55600.8 | + | 33936.2i | −0.904020 | + | 0.551773i | ||||
\(249\) | −9711.80 | − | 3534.80i | −0.156639 | − | 0.0570121i | ||||
\(250\) | 3443.17 | − | 20500.8i | 0.0550907 | − | 0.328014i | ||||
\(251\) | 65199.0 | − | 77701.2i | 1.03489 | − | 1.23333i | 0.0629703 | − | 0.998015i | \(-0.479943\pi\) |
0.971919 | − | 0.235317i | \(-0.0756129\pi\) | |||||||
\(252\) | 117.312 | + | 7211.14i | 0.00184731 | + | 0.113554i | ||||
\(253\) | 21209.6 | − | 120285.i | 0.331353 | − | 1.87920i | ||||
\(254\) | −12273.5 | − | 14387.7i | −0.190240 | − | 0.223010i | ||||
\(255\) | 2974.19 | − | 1717.15i | 0.0457391 | − | 0.0264075i | ||||
\(256\) | 47358.2 | − | 45300.9i | 0.722629 | − | 0.691236i | ||||
\(257\) | −92756.7 | + | 33760.7i | −1.40436 | + | 0.511146i | −0.929470 | − | 0.368899i | \(-0.879735\pi\) |
−0.474892 | + | 0.880044i | \(0.657513\pi\) | |||||||
\(258\) | −1172.34 | − | 6346.42i | −0.0176123 | − | 0.0953431i | ||||
\(259\) | 6343.36 | + | 3662.34i | 0.0945626 | + | 0.0545958i | ||||
\(260\) | −1431.90 | + | 1241.75i | −0.0211819 | + | 0.0183691i | ||||
\(261\) | −46242.5 | + | 38802.0i | −0.678828 | + | 0.569604i | ||||
\(262\) | −14426.5 | + | 8486.34i | −0.210164 | + | 0.123628i | ||||
\(263\) | 90070.4 | − | 15881.8i | 1.30218 | − | 0.229609i | 0.520806 | − | 0.853675i | \(-0.325631\pi\) |
0.781372 | + | 0.624066i | \(0.214520\pi\) | |||||||
\(264\) | 3069.16 | + | 15224.0i | 0.0440364 | + | 0.218435i | ||||
\(265\) | 8642.38 | 0.123067 | ||||||||
\(266\) | −7602.62 | − | 3304.62i | −0.107448 | − | 0.0467045i | ||||
\(267\) | 10604.0i | 0.148746i | ||||||||
\(268\) | 96647.6 | − | 57915.7i | 1.34562 | − | 0.806356i | ||||
\(269\) | −21020.4 | − | 119213.i | −0.290494 | − | 1.64747i | −0.684972 | − | 0.728569i | \(-0.740186\pi\) |
0.394478 | − | 0.918905i | \(-0.370925\pi\) | |||||||
\(270\) | 3654.77 | − | 2149.90i | 0.0501340 | − | 0.0294911i | ||||
\(271\) | −7598.49 | − | 9055.53i | −0.103464 | − | 0.123303i | 0.711828 | − | 0.702354i | \(-0.247868\pi\) |
−0.815291 | + | 0.579051i | \(0.803423\pi\) | |||||||
\(272\) | −132229. | + | 4303.39i | −1.78727 | + | 0.0581665i | ||||
\(273\) | 127.027 | − | 220.017i | 0.00170439 | − | 0.00295210i | ||||
\(274\) | −12923.3 | − | 69959.4i | −0.172136 | − | 0.931848i | ||||
\(275\) | −31984.5 | − | 87876.7i | −0.422936 | − | 1.16201i | ||||
\(276\) | −18896.4 | − | 6531.64i | −0.248062 | − | 0.0857440i | ||||
\(277\) | −7983.08 | − | 13827.1i | −0.104042 | − | 0.180207i | 0.809304 | − | 0.587390i | \(-0.199844\pi\) |
−0.913347 | + | 0.407183i | \(0.866511\pi\) | |||||||
\(278\) | 61935.8 | + | 72604.7i | 0.801405 | + | 0.939453i | ||||
\(279\) | 78701.0 | + | 13877.1i | 1.01105 | + | 0.178275i | ||||
\(280\) | −494.313 | + | 1468.65i | −0.00630501 | + | 0.0187328i | ||||
\(281\) | −4098.94 | − | 3439.42i | −0.0519109 | − | 0.0435584i | 0.616463 | − | 0.787384i | \(-0.288565\pi\) |
−0.668374 | + | 0.743825i | \(0.733009\pi\) | |||||||
\(282\) | −2610.15 | + | 15541.0i | −0.0328221 | + | 0.195425i | ||||
\(283\) | −21648.3 | + | 59478.2i | −0.270303 | + | 0.742651i | 0.728063 | + | 0.685510i | \(0.240421\pi\) |
−0.998366 | + | 0.0571412i | \(0.981801\pi\) | |||||||
\(284\) | −91128.1 | + | 112261.i | −1.12984 | + | 1.39185i | ||||
\(285\) | 252.465 | + | 2385.66i | 0.00310822 | + | 0.0293710i | ||||
\(286\) | −5785.32 | + | 16306.5i | −0.0707287 | + | 0.199356i | ||||
\(287\) | −1034.71 | + | 2842.83i | −0.0125618 | + | 0.0345134i | ||||
\(288\) | −80335.3 | + | 3268.78i | −0.968549 | + | 0.0394095i | ||||
\(289\) | 140612. | + | 117987.i | 1.68355 | + | 1.41267i | ||||
\(290\) | −12151.6 | + | 4535.06i | −0.144489 | + | 0.0539247i | ||||
\(291\) | −14125.7 | − | 2490.75i | −0.166811 | − | 0.0294133i | ||||
\(292\) | 6623.02 | − | 2533.33i | 0.0776766 | − | 0.0297115i | ||||
\(293\) | 11190.5 | + | 19382.6i | 0.130352 | + | 0.225775i | 0.923812 | − | 0.382846i | \(-0.125056\pi\) |
−0.793461 | + | 0.608622i | \(0.791723\pi\) | |||||||
\(294\) | 121.386 | + | 14924.1i | 0.00140434 | + | 0.172661i | ||||
\(295\) | 3957.86 | + | 10874.1i | 0.0454795 | + | 0.124954i | ||||
\(296\) | −39091.0 | + | 71692.0i | −0.446163 | + | 0.818253i | ||||
\(297\) | 19354.4 | − | 33522.7i | 0.219415 | − | 0.380038i | ||||
\(298\) | −25283.6 | + | 44626.8i | −0.284713 | + | 0.502532i | ||||
\(299\) | −14317.9 | − | 17063.4i | −0.160153 | − | 0.190863i | ||||
\(300\) | −15030.0 | + | 2903.03i | −0.167000 | + | 0.0322559i | ||||
\(301\) | −1020.82 | − | 5789.34i | −0.0112672 | − | 0.0638993i | ||||
\(302\) | 57700.9 | − | 69912.2i | 0.632657 | − | 0.766547i | ||||
\(303\) | − | 17712.5i | − | 0.192927i | ||||||
\(304\) | 34761.8 | − | 85629.1i | 0.376145 | − | 0.926561i | ||||
\(305\) | 3961.73 | 0.0425878 | ||||||||
\(306\) | 125181. | + | 103316.i | 1.33689 | + | 1.10338i | ||||
\(307\) | −91968.0 | + | 16216.4i | −0.975798 | + | 0.172059i | −0.638739 | − | 0.769424i | \(-0.720543\pi\) |
−0.337059 | + | 0.941483i | \(0.609432\pi\) | |||||||
\(308\) | 2682.76 | + | 13889.6i | 0.0282801 | + | 0.146416i | ||||
\(309\) | 10065.8 | − | 8446.19i | 0.105422 | − | 0.0884594i | ||||
\(310\) | 14939.7 | + | 8464.15i | 0.155459 | + | 0.0880765i | ||||
\(311\) | 113446. | + | 65498.4i | 1.17293 | + | 0.677189i | 0.954367 | − | 0.298635i | \(-0.0965315\pi\) |
0.218558 | + | 0.975824i | \(0.429865\pi\) | |||||||
\(312\) | 2486.61 | + | 1355.86i | 0.0255446 | + | 0.0139285i | ||||
\(313\) | 42856.2 | − | 15598.4i | 0.437447 | − | 0.159218i | −0.113903 | − | 0.993492i | \(-0.536335\pi\) |
0.551350 | + | 0.834274i | \(0.314113\pi\) | |||||||
\(314\) | 87201.3 | − | 709.254i | 0.884431 | − | 0.00719354i | ||||
\(315\) | 1646.41 | − | 950.557i | 0.0165927 | − | 0.00957982i | ||||
\(316\) | 30837.3 | + | 80619.8i | 0.308818 | + | 0.807360i | ||||
\(317\) | −25088.5 | + | 142284.i | −0.249664 | + | 1.41592i | 0.559742 | + | 0.828667i | \(0.310900\pi\) |
−0.809406 | + | 0.587249i | \(0.800211\pi\) | |||||||
\(318\) | −4515.59 | − | 12099.4i | −0.0446540 | − | 0.119649i | ||||
\(319\) | −76109.1 | + | 90703.3i | −0.747920 | + | 0.891336i | ||||
\(320\) | −16502.4 | − | 5109.60i | −0.161156 | − | 0.0498985i | ||||
\(321\) | 12819.0 | + | 4665.74i | 0.124407 | + | 0.0452805i | ||||
\(322\) | −17163.4 | − | 6089.35i | −0.165536 | − | 0.0587299i | ||||
\(323\) | −167623. | + | 81903.5i | −1.60668 | + | 0.785050i | ||||
\(324\) | 74085.7 | + | 60139.1i | 0.705740 | + | 0.572885i | ||||
\(325\) | −16025.9 | − | 5832.96i | −0.151725 | − | 0.0552233i | ||||
\(326\) | 100745. | + | 16920.4i | 0.947960 | + | 0.159212i | ||||
\(327\) | −12109.9 | + | 14432.0i | −0.113251 | + | 0.134968i | ||||
\(328\) | −31964.5 | − | 10758.5i | −0.297112 | − | 0.100001i | ||||
\(329\) | −2492.59 | + | 14136.2i | −0.0230282 | + | 0.130599i | ||||
\(330\) | 3114.54 | − | 2656.87i | 0.0286000 | − | 0.0243973i | ||||
\(331\) | −53250.5 | + | 30744.2i | −0.486035 | + | 0.280613i | −0.722928 | − | 0.690923i | \(-0.757204\pi\) |
0.236893 | + | 0.971536i | \(0.423871\pi\) | |||||||
\(332\) | 34286.0 | − | 99191.2i | 0.311057 | − | 0.899906i | ||||
\(333\) | 94138.0 | − | 34263.4i | 0.848939 | − | 0.308988i | ||||
\(334\) | 24984.0 | − | 4615.17i | 0.223959 | − | 0.0413709i | ||||
\(335\) | −25721.3 | − | 14850.2i | −0.229194 | − | 0.132325i | ||||
\(336\) | 2314.40 | − | 75.3218i | 0.0205003 | − | 0.000667179i | ||||
\(337\) | −87499.2 | + | 73420.5i | −0.770449 | + | 0.646484i | −0.940824 | − | 0.338895i | \(-0.889947\pi\) |
0.170375 | + | 0.985379i | \(0.445502\pi\) | |||||||
\(338\) | −56324.9 | − | 95750.6i | −0.493023 | − | 0.838124i | ||||
\(339\) | 2032.51 | − | 358.387i | 0.0176862 | − | 0.00311855i | ||||
\(340\) | 17926.1 | + | 29914.4i | 0.155070 | + | 0.258775i | ||||
\(341\) | 156751. | 1.34804 | ||||||||
\(342\) | −101461. | + | 50601.8i | −0.867453 | + | 0.432627i | ||||
\(343\) | 27378.3i | 0.232712i | ||||||||
\(344\) | 64243.8 | − | 12951.5i | 0.542893 | − | 0.109447i | ||||
\(345\) | 915.174 | + | 5190.21i | 0.00768892 | + | 0.0436060i | ||||
\(346\) | −65145.0 | − | 110744.i | −0.544163 | − | 0.925060i | ||||
\(347\) | −24050.9 | − | 28662.8i | −0.199744 | − | 0.238045i | 0.656870 | − | 0.754004i | \(-0.271880\pi\) |
−0.856613 | + | 0.515959i | \(0.827436\pi\) | |||||||
\(348\) | 12698.2 | + | 14642.7i | 0.104854 | + | 0.120910i | ||||
\(349\) | −116402. | + | 201613.i | −0.955670 | + | 1.65527i | −0.222842 | + | 0.974855i | \(0.571533\pi\) |
−0.732828 | + | 0.680414i | \(0.761800\pi\) | |||||||
\(350\) | −13711.6 | + | 2532.89i | −0.111932 | + | 0.0206766i | ||||
\(351\) | −2414.40 | − | 6633.52i | −0.0195973 | − | 0.0538431i | ||||
\(352\) | −154068. | + | 33676.9i | −1.24345 | + | 0.271798i | ||||
\(353\) | −121818. | − | 210995.i | −0.977602 | − | 1.69326i | −0.671065 | − | 0.741398i | \(-0.734163\pi\) |
−0.306537 | − | 0.951859i | \(-0.599170\pi\) | |||||||
\(354\) | 13155.9 | − | 11222.7i | 0.104982 | − | 0.0895551i | ||||
\(355\) | 37535.6 | + | 6618.54i | 0.297842 | + | 0.0525176i | ||||
\(356\) | −107666. | + | 1751.52i | −0.849530 | + | 0.0138203i | ||||
\(357\) | −3580.96 | − | 3004.79i | −0.0280972 | − | 0.0235764i | ||||
\(358\) | 125357. | + | 21054.1i | 0.978101 | + | 0.164275i | ||||
\(359\) | 17951.3 | − | 49320.8i | 0.139286 | − | 0.382685i | −0.850363 | − | 0.526197i | \(-0.823617\pi\) |
0.989649 | + | 0.143512i | \(0.0458397\pi\) | |||||||
\(360\) | 11041.7 | + | 18090.5i | 0.0851979 | + | 0.139587i | ||||
\(361\) | −4734.09 | − | 130235.i | −0.0363264 | − | 0.999340i | ||||
\(362\) | −150235. | − | 53301.4i | −1.14645 | − | 0.406744i | ||||
\(363\) | 4892.08 | − | 13440.9i | 0.0371262 | − | 0.102003i | ||||
\(364\) | 2254.89 | + | 1253.41i | 0.0170186 | + | 0.00945996i | ||||
\(365\) | −1431.88 | − | 1201.49i | −0.0107479 | − | 0.00901852i | ||||
\(366\) | −2069.98 | − | 5546.45i | −0.0154527 | − | 0.0414050i | ||||
\(367\) | −39593.6 | − | 6981.42i | −0.293963 | − | 0.0518337i | 0.0247216 | − | 0.999694i | \(-0.492130\pi\) |
−0.318685 | + | 0.947861i | \(0.603241\pi\) | |||||||
\(368\) | 63196.8 | − | 192941.i | 0.466659 | − | 1.42471i | ||||
\(369\) | 20688.4 | + | 35833.3i | 0.151941 | + | 0.263169i | ||||
\(370\) | 21524.1 | − | 175.067i | 0.157225 | − | 0.00127880i | ||||
\(371\) | −4023.40 | − | 11054.2i | −0.0292311 | − | 0.0803118i | ||||
\(372\) | 4043.98 | − | 25338.1i | 0.0292229 | − | 0.183100i | ||||
\(373\) | −37266.6 | + | 64547.6i | −0.267856 | + | 0.463941i | −0.968308 | − | 0.249759i | \(-0.919649\pi\) |
0.700452 | + | 0.713700i | \(0.252982\pi\) | |||||||
\(374\) | 276998. | + | 156935.i | 1.98031 | + | 1.12196i | ||||
\(375\) | 5263.48 | + | 6272.77i | 0.0374292 | + | 0.0446063i | ||||
\(376\) | −158224. | − | 23934.8i | −1.11917 | − | 0.169299i | ||||
\(377\) | 3749.63 | + | 21265.2i | 0.0263819 | + | 0.149619i | ||||
\(378\) | −4451.33 | − | 3673.83i | −0.0311534 | − | 0.0257120i | ||||
\(379\) | 10968.1i | 0.0763574i | 0.999271 | + | 0.0381787i | \(0.0121556\pi\) | ||||
−0.999271 | + | 0.0381787i | \(0.987844\pi\) | |||||||
\(380\) | −24180.8 | + | 2957.42i | −0.167457 | + | 0.0204808i | ||||
\(381\) | 7449.36 | 0.0513179 | ||||||||
\(382\) | 177469. | − | 215026.i | 1.21617 | − | 1.47355i | ||||
\(383\) | −15887.5 | + | 2801.39i | −0.108307 | + | 0.0190975i | −0.227539 | − | 0.973769i | \(-0.573068\pi\) |
0.119232 | + | 0.992866i | \(0.461957\pi\) | |||||||
\(384\) | 1468.94 | + | 25773.2i | 0.00996192 | + | 0.174786i | ||||
\(385\) | 2856.57 | − | 2396.94i | 0.0192718 | − | 0.0161710i | ||||
\(386\) | 70273.5 | − | 124036.i | 0.471647 | − | 0.832480i | ||||
\(387\) | −69630.4 | − | 40201.1i | −0.464918 | − | 0.268421i | ||||
\(388\) | 22956.2 | − | 143835.i | 0.152488 | − | 0.955434i | ||||
\(389\) | −15108.0 | + | 5498.88i | −0.0998410 | + | 0.0363392i | −0.391458 | − | 0.920196i | \(-0.628029\pi\) |
0.291617 | + | 0.956535i | \(0.405807\pi\) | |||||||
\(390\) | −6.07214 | − | 746.557i | −3.99220e−5 | − | 0.00490833i | ||||
\(391\) | −354946. | + | 204928.i | −2.32171 | + | 1.34044i | ||||
\(392\) | −151510. | + | 3697.57i | −0.985980 | + | 0.0240627i | ||||
\(393\) | 1144.86 | − | 6492.82i | 0.00741254 | − | 0.0420386i | ||||
\(394\) | 187377. | − | 69930.9i | 1.20705 | − | 0.450481i | ||||
\(395\) | 14625.4 | − | 17429.8i | 0.0937374 | − | 0.111712i | ||||
\(396\) | 169109. | + | 94001.2i | 1.07839 | + | 0.599436i | ||||
\(397\) | 125705. | + | 45753.0i | 0.797578 | + | 0.290295i | 0.708482 | − | 0.705729i | \(-0.249380\pi\) |
0.0890954 | + | 0.996023i | \(0.471602\pi\) | |||||||
\(398\) | 24006.3 | − | 67664.0i | 0.151551 | − | 0.427161i | ||||
\(399\) | 2933.89 | − | 1433.55i | 0.0184289 | − | 0.00900464i | ||||
\(400\) | −31958.1 | − | 152126.i | −0.199738 | − | 0.950785i | ||||
\(401\) | 40027.4 | + | 14568.8i | 0.248925 | + | 0.0906012i | 0.463469 | − | 0.886113i | \(-0.346604\pi\) |
−0.214544 | + | 0.976714i | \(0.568827\pi\) | |||||||
\(402\) | −7351.15 | + | 43769.2i | −0.0454886 | + | 0.270842i | ||||
\(403\) | 18375.0 | − | 21898.5i | 0.113140 | − | 0.134835i | ||||
\(404\) | 179841. | − | 2925.68i | 1.10186 | − | 0.0179252i | ||||
\(405\) | 4367.84 | − | 24771.3i | 0.0266291 | − | 0.151021i | ||||
\(406\) | 11457.7 | + | 13431.4i | 0.0695099 | + | 0.0814835i | ||||
\(407\) | 170173. | − | 98249.7i | 1.02731 | − | 0.593120i | ||||
\(408\) | 32514.0 | − | 40726.7i | 0.195321 | − | 0.244658i | ||||
\(409\) | 6658.92 | − | 2423.65i | 0.0398068 | − | 0.0144885i | −0.322040 | − | 0.946726i | \(-0.604369\pi\) |
0.361847 | + | 0.932238i | \(0.382146\pi\) | |||||||
\(410\) | 1614.95 | + | 8742.41i | 0.00960705 | + | 0.0520072i | ||||
\(411\) | 24269.2 | + | 14011.8i | 0.143672 | + | 0.0829491i | ||||
\(412\) | 87419.8 | + | 100806.i | 0.515010 | + | 0.593873i | ||||
\(413\) | 12066.2 | − | 10124.7i | 0.0707409 | − | 0.0593587i | ||||
\(414\) | −214690. | + | 126290.i | −1.25260 | + | 0.736834i | ||||
\(415\) | −27244.5 | + | 4803.95i | −0.158192 | + | 0.0278934i | ||||
\(416\) | −13355.8 | + | 25471.4i | −0.0771760 | + | 0.147186i | ||||
\(417\) | −37591.7 | −0.216182 | ||||||||
\(418\) | −178754. | + | 132304.i | −1.02306 | + | 0.757218i | ||||
\(419\) | − | 177140.i | − | 1.00899i | −0.863414 | − | 0.504496i | \(-0.831678\pi\) | ||
0.863414 | − | 0.504496i | \(-0.168322\pi\) | |||||||
\(420\) | −313.759 | − | 523.588i | −0.00177868 | − | 0.00296819i | ||||
\(421\) | −42942.1 | − | 243537.i | −0.242281 | − | 1.37404i | −0.826724 | − | 0.562608i | \(-0.809798\pi\) |
0.584443 | − | 0.811434i | \(-0.301313\pi\) | |||||||
\(422\) | −115564. | + | 67980.0i | −0.648929 | + | 0.381730i | ||||
\(423\) | 126194. | + | 150392.i | 0.705275 | + | 0.840515i | ||||
\(424\) | 122103. | − | 47846.9i | 0.679198 | − | 0.266148i | ||||
\(425\) | −156902. | + | 271762.i | −0.868661 | + | 1.50456i | ||||
\(426\) | −10346.1 | − | 56008.2i | −0.0570110 | − | 0.308626i | ||||
\(427\) | −1844.36 | − | 5067.33i | −0.0101155 | − | 0.0277922i | ||||
\(428\) | −45255.6 | + | 130927.i | −0.247050 | + | 0.714728i | ||||
\(429\) | −3407.75 | − | 5902.40i | −0.0185163 | − | 0.0320711i | ||||
\(430\) | −11211.7 | − | 13143.0i | −0.0606366 | − | 0.0710817i | ||||
\(431\) | 223796. | + | 39461.3i | 1.20475 | + | 0.212430i | 0.739752 | − | 0.672880i | \(-0.234943\pi\) |
0.465001 | + | 0.885310i | \(0.346054\pi\) | |||||||
\(432\) | 39733.7 | − | 50608.8i | 0.212908 | − | 0.271180i | ||||
\(433\) | 113018. | + | 94833.3i | 0.602798 | + | 0.505807i | 0.892344 | − | 0.451357i | \(-0.149060\pi\) |
−0.289546 | + | 0.957164i | \(0.593504\pi\) | |||||||
\(434\) | 3871.19 | − | 23049.3i | 0.0205525 | − | 0.122371i | ||||
\(435\) | 1747.40 | − | 4800.94i | 0.00923451 | − | 0.0253716i | ||||
\(436\) | −148533. | − | 120572.i | −0.781360 | − | 0.634269i | ||||
\(437\) | −30129.7 | − | 284710.i | −0.157773 | − | 1.49087i | ||||
\(438\) | −933.946 | + | 2632.42i | −0.00486826 | + | 0.0137217i | ||||
\(439\) | 53157.9 | − | 146050.i | 0.275829 | − | 0.757833i | −0.721995 | − | 0.691898i | \(-0.756775\pi\) |
0.997824 | − | 0.0659348i | \(-0.0210029\pi\) | |||||||
\(440\) | 27490.6 | + | 31184.1i | 0.141997 | + | 0.161075i | ||||
\(441\) | 142433. | + | 119515.i | 0.732373 | + | 0.614534i | ||||
\(442\) | 54395.0 | − | 20300.7i | 0.278429 | − | 0.103912i | ||||
\(443\) | −131544. | − | 23194.8i | −0.670291 | − | 0.118190i | −0.171862 | − | 0.985121i | \(-0.554978\pi\) |
−0.498429 | + | 0.866931i | \(0.666090\pi\) | |||||||
\(444\) | −11491.3 | − | 30042.4i | −0.0582914 | − | 0.152394i | ||||
\(445\) | 14192.3 | + | 24581.8i | 0.0716693 | + | 0.124135i | ||||
\(446\) | −3125.12 | − | 384227.i | −0.0157107 | − | 1.93160i | ||||
\(447\) | −6910.18 | − | 18985.6i | −0.0345840 | − | 0.0950186i | ||||
\(448\) | 1147.05 | + | 23486.5i | 0.00571515 | + | 0.117020i | ||||
\(449\) | 161167. | − | 279149.i | 0.799433 | − | 1.38466i | −0.120552 | − | 0.992707i | \(-0.538466\pi\) |
0.919986 | − | 0.391952i | \(-0.128200\pi\) | |||||||
\(450\) | −94007.0 | + | 165927.i | −0.464232 | + | 0.819392i | ||||
\(451\) | 52168.2 | + | 62171.6i | 0.256480 | + | 0.305660i | ||||
\(452\) | 3974.55 | + | 20577.6i | 0.0194541 | + | 0.100721i | ||||
\(453\) | 6200.44 | + | 35164.4i | 0.0302152 | + | 0.171359i | ||||
\(454\) | −131241. | + | 159016.i | −0.636734 | + | 0.771487i | ||||
\(455\) | − | 680.048i | − | 0.00328486i | ||||||
\(456\) | 16774.7 | + | 32308.0i | 0.0806725 | + | 0.155375i | ||||
\(457\) | −148549. | −0.711275 | −0.355637 | − | 0.934624i | \(-0.615736\pi\) | ||||
−0.355637 | + | 0.934624i | \(0.615736\pi\) | |||||||
\(458\) | 127023. | + | 104836.i | 0.605550 | + | 0.499781i | ||||
\(459\) | −127918. | + | 22555.3i | −0.607162 | + | 0.107059i | ||||
\(460\) | −52546.9 | + | 10149.4i | −0.248331 | + | 0.0479650i | ||||
\(461\) | −207797. | + | 174362.i | −0.977771 | + | 0.820447i | −0.983752 | − | 0.179535i | \(-0.942541\pi\) |
0.00598061 | + | 0.999982i | \(0.498096\pi\) | |||||||
\(462\) | −4848.27 | − | 2746.82i | −0.0227145 | − | 0.0128690i | ||||
\(463\) | 217643. | + | 125656.i | 1.01527 | + | 0.586167i | 0.912731 | − | 0.408562i | \(-0.133969\pi\) |
0.102541 | + | 0.994729i | \(0.467303\pi\) | |||||||
\(464\) | −146575. | + | 131348.i | −0.680807 | + | 0.610082i | ||||
\(465\) | −6355.77 | + | 2313.31i | −0.0293943 | + | 0.0106986i | ||||
\(466\) | −69481.4 | + | 565.128i | −0.319961 | + | 0.00260241i | ||||
\(467\) | 77403.5 | − | 44689.0i | 0.354917 | − | 0.204912i | −0.311932 | − | 0.950105i | \(-0.600976\pi\) |
0.666849 | + | 0.745193i | \(0.267643\pi\) | |||||||
\(468\) | 32955.8 | − | 12605.7i | 0.150467 | − | 0.0575540i | ||||
\(469\) | −7020.07 | + | 39812.8i | −0.0319151 | + | 0.180999i | ||||
\(470\) | 14749.2 | + | 39520.0i | 0.0667687 | + | 0.178904i | ||||
\(471\) | −22079.9 | + | 26313.8i | −0.0995304 | + | 0.118616i | ||||
\(472\) | 116121. | + | 131723.i | 0.521227 | + | 0.591257i | ||||
\(473\) | −148196. | − | 53938.9i | −0.662390 | − | 0.241090i | ||||
\(474\) | −32043.5 | − | 11368.6i | −0.142621 | − | 0.0506000i | ||||
\(475\) | −128971. | − | 177247.i | −0.571617 | − | 0.785583i | ||||
\(476\) | 29917.2 | − | 36855.1i | 0.132040 | − | 0.162661i | ||||
\(477\) | −151188. | − | 55028.0i | −0.664479 | − | 0.241851i | ||||
\(478\) | −234745. | − | 39426.0i | −1.02740 | − | 0.172555i | ||||
\(479\) | 104854. | − | 124960.i | 0.456999 | − | 0.544630i | −0.487510 | − | 0.873118i | \(-0.662095\pi\) |
0.944508 | + | 0.328488i | \(0.106539\pi\) | |||||||
\(480\) | 5749.99 | − | 3639.21i | 0.0249566 | − | 0.0157952i | ||||
\(481\) | 6222.73 | − | 35290.8i | 0.0268962 | − | 0.152536i | ||||
\(482\) | 87759.1 | − | 74863.3i | 0.377744 | − | 0.322237i | ||||
\(483\) | 6212.58 | − | 3586.84i | 0.0266304 | − | 0.0153751i | ||||
\(484\) | 137278. | + | 47450.9i | 0.586017 | + | 0.202560i | ||||
\(485\) | −36079.4 | + | 13131.8i | −0.153382 | + | 0.0558267i | ||||
\(486\) | −117041. | + | 21620.5i | −0.495526 | + | 0.0915363i | ||||
\(487\) | −56553.1 | − | 32651.0i | −0.238451 | − | 0.137670i | 0.376014 | − | 0.926614i | \(-0.377295\pi\) |
−0.614464 | + | 0.788944i | \(0.710628\pi\) | |||||||
\(488\) | 55973.2 | − | 21933.4i | 0.235039 | − | 0.0921014i | ||||
\(489\) | −30825.7 | + | 25865.8i | −0.128912 | + | 0.108170i | ||||
\(490\) | 20255.7 | + | 34434.1i | 0.0843637 | + | 0.143416i | ||||
\(491\) | 120513. | − | 21249.6i | 0.499885 | − | 0.0881432i | 0.0819799 | − | 0.996634i | \(-0.473876\pi\) |
0.417905 | + | 0.908491i | \(0.362765\pi\) | |||||||
\(492\) | 11395.6 | − | 6828.79i | 0.0470769 | − | 0.0282107i | ||||
\(493\) | 397319. | 1.63473 | ||||||||
\(494\) | −2471.06 | + | 40481.5i | −0.0101258 | + | 0.165883i | ||||
\(495\) | − | 51001.3i | − | 0.208147i | ||||||
\(496\) | 257934. | + | 36874.7i | 1.04845 | + | 0.149888i | ||||
\(497\) | −9008.87 | − | 51091.8i | −0.0364718 | − | 0.206842i | ||||
\(498\) | 20960.7 | + | 35632.5i | 0.0845174 | + | 0.143677i | ||||
\(499\) | 81368.0 | + | 96970.6i | 0.326778 | + | 0.389439i | 0.904272 | − | 0.426956i | \(-0.140414\pi\) |
−0.577495 | + | 0.816394i | \(0.695970\pi\) | |||||||
\(500\) | −62820.2 | + | 54478.1i | −0.251281 | + | 0.217912i | ||||
\(501\) | −5003.92 | + | 8667.05i | −0.0199359 | + | 0.0345299i | ||||
\(502\) | −398977. | + | 73701.1i | −1.58322 | + | 0.292460i | ||||
\(503\) | 46235.0 | + | 127030.i | 0.182740 | + | 0.502075i | 0.996910 | − | 0.0785520i | \(-0.0250297\pi\) |
−0.814170 | + | 0.580627i | \(0.802807\pi\) | |||||||
\(504\) | 17998.7 | − | 22545.0i | 0.0708565 | − | 0.0887541i | ||||
\(505\) | −23706.3 | − | 41060.5i | −0.0929567 | − | 0.161006i | ||||
\(506\) | −371695. | + | 317076.i | −1.45173 | + | 1.23841i | ||||
\(507\) | 43093.7 | + | 7598.58i | 0.167648 | + | 0.0295608i | ||||
\(508\) | 1230.46 | + | 75636.1i | 0.00476803 | + | 0.293090i | ||||
\(509\) | −71871.1 | − | 60307.0i | −0.277408 | − | 0.232773i | 0.493459 | − | 0.869769i | \(-0.335732\pi\) |
−0.770867 | + | 0.636996i | \(0.780177\pi\) | |||||||
\(510\) | −13547.4 | − | 2275.33i | −0.0520855 | − | 0.00874790i | ||||
\(511\) | −870.189 | + | 2390.82i | −0.00333251 | + | 0.00915600i | ||||
\(512\) | −261442. | + | 19171.8i | −0.997322 | + | 0.0731348i | ||||
\(513\) | 21887.6 | − | 88054.1i | 0.0831693 | − | 0.334591i | ||||
\(514\) | 372113. | + | 132021.i | 1.40847 | + | 0.499707i | ||||
\(515\) | 12029.8 | − | 33051.7i | 0.0453570 | − | 0.124617i | ||||
\(516\) | −12542.2 | + | 22563.6i | −0.0471059 | + | 0.0847439i | ||||
\(517\) | 294990. | + | 247526.i | 1.10364 | + | 0.926063i | ||||
\(518\) | −10244.3 | − | 27449.4i | −0.0381790 | − | 0.102299i | ||||
\(519\) | 49841.8 | + | 8788.46i | 0.185037 | + | 0.0326271i | ||||
\(520\) | 7579.05 | − | 184.966i | 0.0280290 | − | 0.000684046i | ||||
\(521\) | 144668. | + | 250572.i | 0.532962 | + | 0.923118i | 0.999259 | + | 0.0384893i | \(0.0122546\pi\) |
−0.466297 | + | 0.884628i | \(0.654412\pi\) | |||||||
\(522\) | 241453. | − | 1963.86i | 0.886118 | − | 0.00720726i | ||||
\(523\) | 143550. | + | 394400.i | 0.524807 | + | 1.44190i | 0.865111 | + | 0.501580i | \(0.167248\pi\) |
−0.340304 | + | 0.940315i | \(0.610530\pi\) | |||||||
\(524\) | 66113.0 | + | 10551.7i | 0.240782 | + | 0.0384291i | ||||
\(525\) | 2746.24 | − | 4756.62i | 0.00996368 | − | 0.0172576i | ||||
\(526\) | −318304. | − | 180337.i | −1.15046 | − | 0.651798i | ||||
\(527\) | −338102. | − | 402935.i | −1.21738 | − | 1.45082i | ||||
\(528\) | 29294.3 | − | 54780.5i | 0.105079 | − | 0.196498i | ||||
\(529\) | −60624.9 | − | 343821.i | −0.216641 | − | 1.22863i | ||||
\(530\) | −26661.6 | − | 22004.7i | −0.0949150 | − | 0.0783365i | ||||
\(531\) | − | 215431.i | − | 0.764044i | ||||||
\(532\) | 15039.9 | + | 29552.1i | 0.0531402 | + | 0.104415i | ||||
\(533\) | 14800.9 | 0.0520995 | ||||||||
\(534\) | 26999.3 | − | 32713.2i | 0.0946824 | − | 0.114720i | ||||
\(535\) | 35961.3 | − | 6340.94i | 0.125640 | − | 0.0221537i | ||||
\(536\) | −445618. | − | 67409.2i | −1.55108 | − | 0.234633i | ||||
\(537\) | −38356.3 | + | 32184.8i | −0.133011 | + | 0.111610i | ||||
\(538\) | −238685. | + | 421291.i | −0.824634 | + | 1.45552i | ||||
\(539\) | 315841. | + | 182351.i | 1.08715 | + | 0.627668i | ||||
\(540\) | −16748.9 | − | 2673.14i | −0.0574379 | − | 0.00916714i | ||||
\(541\) | −402895. | + | 146642.i | −1.37657 | + | 0.501029i | −0.921135 | − | 0.389242i | \(-0.872737\pi\) |
−0.455430 | + | 0.890271i | \(0.650515\pi\) | |||||||
\(542\) | 384.578 | + | 47283.1i | 0.00130914 | + | 0.160956i | ||||
\(543\) | 54380.0 | − | 31396.3i | 0.184434 | − | 0.106483i | ||||
\(544\) | 418883. | + | 323399.i | 1.41545 | + | 1.09280i | ||||
\(545\) | −8757.02 | + | 49663.5i | −0.0294824 | + | 0.167203i | ||||
\(546\) | −952.071 | + | 355.321i | −0.00319363 | + | 0.00119189i | ||||
\(547\) | 139632. | − | 166406.i | 0.466669 | − | 0.556154i | −0.480456 | − | 0.877019i | \(-0.659529\pi\) |
0.947125 | + | 0.320864i | \(0.103973\pi\) | |||||||
\(548\) | −138259. | + | 248729.i | −0.460395 | + | 0.828256i | ||||
\(549\) | −69305.9 | − | 25225.3i | −0.229946 | − | 0.0836934i | ||||
\(550\) | −125075. | + | 352536.i | −0.413471 | + | 1.16541i | ||||
\(551\) | −112705. | + | 253627.i | −0.371228 | + | 0.835397i | ||||
\(552\) | 41664.6 | + | 68262.9i | 0.136738 | + | 0.224030i | ||||
\(553\) | −29102.7 | − | 10592.5i | −0.0951663 | − | 0.0346377i | ||||
\(554\) | −10578.1 | + | 62982.5i | −0.0344657 | + | 0.205211i | ||||
\(555\) | −5450.05 | + | 6495.12i | −0.0176935 | + | 0.0210863i | ||||
\(556\) | −6209.25 | − | 381682.i | −0.0200858 | − | 1.23467i | ||||
\(557\) | 61531.4 | − | 348962.i | 0.198329 | − | 1.12478i | −0.709268 | − | 0.704939i | \(-0.750975\pi\) |
0.907597 | − | 0.419842i | \(-0.137914\pi\) | |||||||
\(558\) | −207458. | − | 243195.i | −0.666289 | − | 0.781062i | ||||
\(559\) | −24907.5 | + | 14380.3i | −0.0797088 | + | 0.0460199i | ||||
\(560\) | 5264.35 | − | 3272.19i | 0.0167868 | − | 0.0104343i | ||||
\(561\) | −117843. | + | 42891.4i | −0.374437 | + | 0.136284i | ||||
\(562\) | 3887.92 | + | 21047.0i | 0.0123096 | + | 0.0666374i | ||||
\(563\) | 159662. | + | 92180.6i | 0.503713 | + | 0.290819i | 0.730246 | − | 0.683185i | \(-0.239406\pi\) |
−0.226532 | + | 0.974004i | \(0.572739\pi\) | |||||||
\(564\) | 47621.8 | − | 41297.9i | 0.149709 | − | 0.129828i | ||||
\(565\) | 4232.04 | − | 3551.10i | 0.0132572 | − | 0.0111241i | ||||
\(566\) | 218225. | − | 128370.i | 0.681195 | − | 0.400710i | ||||
\(567\) | −33717.6 | + | 5945.32i | −0.104879 | + | 0.0184931i | ||||
\(568\) | 566962. | − | 114299.i | 1.75735 | − | 0.354280i | ||||
\(569\) | 417016. | 1.28804 | 0.644018 | − | 0.765010i | \(-0.277266\pi\) | ||||
0.644018 | + | 0.765010i | \(0.277266\pi\) | |||||||
\(570\) | 5295.38 | − | 8002.55i | 0.0162985 | − | 0.0246308i | ||||
\(571\) | 36299.2i | 0.111333i | 0.998449 | + | 0.0556666i | \(0.0177284\pi\) | ||||
−0.998449 | + | 0.0556666i | \(0.982272\pi\) | |||||||
\(572\) | 59366.3 | − | 35575.1i | 0.181446 | − | 0.108731i | ||||
\(573\) | 19070.5 | + | 108154.i | 0.0580834 | + | 0.329407i | ||||
\(574\) | 10430.3 | − | 6135.60i | 0.0316573 | − | 0.0186223i | ||||
\(575\) | −309543. | − | 368899.i | −0.936236 | − | 1.11576i | ||||
\(576\) | 256156. | + | 194461.i | 0.772076 | + | 0.586122i | ||||
\(577\) | −82919.6 | + | 143621.i | −0.249061 | + | 0.431386i | −0.963266 | − | 0.268551i | \(-0.913455\pi\) |
0.714205 | + | 0.699937i | \(0.246789\pi\) | |||||||
\(578\) | −133373. | − | 722007.i | −0.399220 | − | 2.16115i | ||||
\(579\) | 19206.2 | + | 52768.7i | 0.0572908 | + | 0.157405i | ||||
\(580\) | 49034.3 | + | 16949.0i | 0.145762 | + | 0.0503834i | ||||
\(581\) | 18828.1 | + | 32611.2i | 0.0557768 | + | 0.0966083i | ||||
\(582\) | 37235.9 | + | 43650.0i | 0.109930 | + | 0.128866i | ||||
\(583\) | −310789. | − | 54800.5i | −0.914384 | − | 0.161231i | ||||
\(584\) | −26882.1 | − | 9047.87i | −0.0788203 | − | 0.0265290i | ||||
\(585\) | −7124.99 | − | 5978.58i | −0.0208196 | − | 0.0174697i | ||||
\(586\) | 14828.2 | − | 88287.8i | 0.0431810 | − | 0.257102i | ||||
\(587\) | −100608. | + | 276418.i | −0.291982 | + | 0.802215i | 0.703794 | + | 0.710404i | \(0.251488\pi\) |
−0.995776 | + | 0.0918108i | \(0.970734\pi\) | |||||||
\(588\) | 37624.4 | − | 46349.7i | 0.108822 | − | 0.134058i | ||||
\(589\) | 353120. | − | 101528.i | 1.01787 | − | 0.292656i | ||||
\(590\) | 15477.1 | − | 43623.8i | 0.0444617 | − | 0.125320i | ||||
\(591\) | −26945.0 | + | 74030.7i | −0.0771441 | + | 0.211952i | ||||
\(592\) | 303133. | − | 121638.i | 0.864949 | − | 0.347077i | ||||
\(593\) | 178497. | + | 149777.i | 0.507599 | + | 0.425926i | 0.860283 | − | 0.509816i | \(-0.170287\pi\) |
−0.352684 | + | 0.935742i | \(0.614731\pi\) | |||||||
\(594\) | −145062. | + | 54138.3i | −0.411131 | + | 0.153437i | ||||
\(595\) | −12322.9 | − | 2172.85i | −0.0348079 | − | 0.00613757i | ||||
\(596\) | 191626. | − | 73297.5i | 0.539463 | − | 0.206346i | ||||
\(597\) | 14140.5 | + | 24492.1i | 0.0396749 | + | 0.0687190i | ||||
\(598\) | 724.662 | + | 89095.7i | 0.00202644 | + | 0.249146i | ||||
\(599\) | −85734.3 | − | 235553.i | −0.238947 | − | 0.656500i | −0.999970 | − | 0.00777574i | \(-0.997525\pi\) |
0.761023 | − | 0.648725i | \(-0.224697\pi\) | |||||||
\(600\) | 53759.0 | + | 29312.7i | 0.149330 | + | 0.0814243i | ||||
\(601\) | 153194. | − | 265339.i | 0.424123 | − | 0.734603i | −0.572215 | − | 0.820104i | \(-0.693916\pi\) |
0.996338 | + | 0.0855010i | \(0.0272491\pi\) | |||||||
\(602\) | −11591.3 | + | 20459.2i | −0.0319844 | + | 0.0564541i | ||||
\(603\) | 355410. | + | 423561.i | 0.977451 | + | 1.16488i | ||||
\(604\) | −356013. | + | 68763.6i | −0.975870 | + | 0.188488i | ||||
\(605\) | −6648.54 | − | 37705.7i | −0.0181642 | − | 0.103014i | ||||
\(606\) | −45098.5 | + | 54642.8i | −0.122805 | + | 0.148795i | ||||
\(607\) | − | 414698.i | − | 1.12552i | −0.826619 | − | 0.562762i | \(-0.809739\pi\) | ||
0.826619 | − | 0.562762i | \(-0.190261\pi\) | |||||||
\(608\) | −325264. | + | 175656.i | −0.879890 | + | 0.475178i | ||||
\(609\) | −6954.23 | −0.0187506 | ||||||||
\(610\) | −12221.9 | − | 10087.1i | −0.0328457 | − | 0.0271087i | ||||
\(611\) | 69160.0 | − | 12194.8i | 0.185256 | − | 0.0326656i | ||||
\(612\) | −123124. | − | 637456.i | −0.328731 | − | 1.70195i | ||||
\(613\) | −140365. | + | 117781.i | −0.373542 | + | 0.313439i | −0.810161 | − | 0.586208i | \(-0.800620\pi\) |
0.436619 | + | 0.899646i | \(0.356176\pi\) | |||||||
\(614\) | 325010. | + | 184136.i | 0.862103 | + | 0.488430i | ||||
\(615\) | −3032.78 | − | 1750.98i | −0.00801845 | − | 0.00462946i | ||||
\(616\) | 27088.6 | − | 49679.9i | 0.0713880 | − | 0.130924i | ||||
\(617\) | −446204. | + | 162405.i | −1.17210 | + | 0.426608i | −0.853404 | − | 0.521250i | \(-0.825466\pi\) |
−0.318692 | + | 0.947858i | \(0.603244\pi\) | |||||||
\(618\) | −52558.0 | + | 427.482i | −0.137614 | + | 0.00111929i | ||||
\(619\) | 344606. | − | 198958.i | 0.899377 | − | 0.519256i | 0.0223790 | − | 0.999750i | \(-0.492876\pi\) |
0.876998 | + | 0.480494i | \(0.159543\pi\) | |||||||
\(620\) | −24537.7 | − | 64150.3i | −0.0638338 | − | 0.166884i | ||||
\(621\) | 34613.4 | − | 196303.i | 0.0897556 | − | 0.509029i | ||||
\(622\) | −183213. | − | 490913.i | −0.473560 | − | 1.26889i | ||||
\(623\) | 24834.7 | − | 29596.8i | 0.0639857 | − | 0.0762552i | ||||
\(624\) | −4218.96 | − | 10514.1i | −0.0108352 | − | 0.0270024i | ||||
\(625\) | −336023. | − | 122302.i | −0.860219 | − | 0.313094i | ||||
\(626\) | −171927. | − | 60997.3i | −0.438727 | − | 0.155655i | ||||
\(627\) | 6048.33 | − | 87391.7i | 0.0153851 | − | 0.222298i | ||||
\(628\) | −270821. | − | 219839.i | −0.686693 | − | 0.557424i | ||||
\(629\) | −619608. | − | 225519.i | −1.56609 | − | 0.570009i | ||||
\(630\) | −7499.42 | − | 1259.55i | −0.0188950 | − | 0.00317346i | ||||
\(631\) | 48853.6 | − | 58221.5i | 0.122698 | − | 0.146226i | −0.701198 | − | 0.712966i | \(-0.747351\pi\) |
0.823897 | + | 0.566740i | \(0.191796\pi\) | |||||||
\(632\) | 110137. | − | 327227.i | 0.275739 | − | 0.819248i | ||||
\(633\) | 9170.93 | − | 52010.9i | 0.0228879 | − | 0.129804i | ||||
\(634\) | 439673. | − | 375065.i | 1.09383 | − | 0.933100i | ||||
\(635\) | 17268.9 | − | 9970.19i | 0.0428269 | − | 0.0247261i | ||||
\(636\) | −16876.2 | + | 48823.8i | −0.0417216 | + | 0.120703i | ||||
\(637\) | 62499.0 | − | 22747.8i | 0.154026 | − | 0.0560609i | ||||
\(638\) | 465739. | − | 86033.9i | 1.14420 | − | 0.211363i | ||||
\(639\) | −614499. | − | 354781.i | −1.50494 | − | 0.868878i | ||||
\(640\) | 37900.0 | + | 57780.6i | 0.0925293 | + | 0.141066i | ||||
\(641\) | −131293. | + | 110168.i | −0.319541 | + | 0.268127i | −0.788422 | − | 0.615134i | \(-0.789102\pi\) |
0.468881 | + | 0.883261i | \(0.344657\pi\) | |||||||
\(642\) | −27666.9 | − | 47032.8i | −0.0671259 | − | 0.114112i | ||||
\(643\) | −116227. | + | 20494.0i | −0.281116 | + | 0.0495684i | −0.312428 | − | 0.949941i | \(-0.601142\pi\) |
0.0313123 | + | 0.999510i | \(0.490031\pi\) | |||||||
\(644\) | 37444.6 | + | 62486.1i | 0.0902854 | + | 0.150665i | ||||
\(645\) | 6804.90 | 0.0163570 | ||||||||
\(646\) | 725653. | + | 174121.i | 1.73886 | + | 0.417241i | ||||
\(647\) | 778705.i | 1.86022i | 0.367280 | + | 0.930110i | \(0.380289\pi\) | ||||
−0.367280 | + | 0.930110i | \(0.619711\pi\) | |||||||
\(648\) | −75430.7 | − | 374161.i | −0.179638 | − | 0.891064i | ||||
\(649\) | −73376.9 | − | 416141.i | −0.174209 | − | 0.987987i | ||||
\(650\) | 34588.3 | + | 58798.9i | 0.0818657 | + | 0.139169i | ||||
\(651\) | 5917.77 | + | 7052.53i | 0.0139636 | + | 0.0166411i | ||||
\(652\) | −267716. | − | 308712.i | −0.629767 | − | 0.726202i | ||||
\(653\) | −318195. | + | 551130.i | −0.746220 | + | 1.29249i | 0.203403 | + | 0.979095i | \(0.434800\pi\) |
−0.949623 | + | 0.313396i | \(0.898533\pi\) | |||||||
\(654\) | 74104.7 | − | 13689.0i | 0.173257 | − | 0.0320049i | ||||
\(655\) | −6035.98 | − | 16583.7i | −0.0140691 | − | 0.0386544i | ||||
\(656\) | 71217.4 | + | 114576.i | 0.165493 | + | 0.266247i | ||||
\(657\) | 17398.9 | + | 30135.8i | 0.0403081 | + | 0.0698156i | ||||
\(658\) | 43682.4 | − | 37263.5i | 0.100892 | − | 0.0860661i | ||||
\(659\) | −637953. | − | 112488.i | −1.46899 | − | 0.259022i | −0.618819 | − | 0.785533i | \(-0.712389\pi\) |
−0.850168 | + | 0.526511i | \(0.823500\pi\) | |||||||
\(660\) | −16373.1 | + | 266.359i | −0.0375874 | + | 0.000611477i | ||||
\(661\) | 333913. | + | 280186.i | 0.764241 | + | 0.641275i | 0.939227 | − | 0.343296i | \(-0.111544\pi\) |
−0.174986 | + | 0.984571i | \(0.555988\pi\) | |||||||
\(662\) | 242556. | + | 40738.0i | 0.553473 | + | 0.0929573i | ||||
\(663\) | −7822.04 | + | 21490.9i | −0.0177948 | + | 0.0488908i | ||||
\(664\) | −358327. | + | 218707.i | −0.812724 | + | 0.496050i | ||||
\(665\) | 4882.60 | − | 7249.91i | 0.0110410 | − | 0.0163942i | ||||
\(666\) | −377654. | − | 133987.i | −0.851424 | − | 0.302074i | ||||
\(667\) | −208538. | + | 572955.i | −0.468743 | + | 1.28786i | ||||
\(668\) | −88826.2 | − | 49375.0i | −0.199062 | − | 0.110651i | ||||
\(669\) | 115944. | + | 97288.7i | 0.259058 | + | 0.217375i | ||||
\(670\) | 41539.2 | + | 111303.i | 0.0925356 | + | 0.247946i | ||||
\(671\) | −142468. | − | 25121.0i | −0.316426 | − | 0.0557945i | ||||
\(672\) | −7331.67 | − | 5660.42i | −0.0162355 | − | 0.0125346i | ||||
\(673\) | 400060. | + | 692924.i | 0.883272 | + | 1.52987i | 0.847681 | + | 0.530506i | \(0.177998\pi\) |
0.0355912 | + | 0.999366i | \(0.488669\pi\) | |||||||
\(674\) | 456873. | − | 3715.99i | 1.00572 | − | 0.00818003i | ||||
\(675\) | −52197.9 | − | 143412.i | −0.114563 | − | 0.314760i | ||||
\(676\) | −70033.1 | + | 438801.i | −0.153253 | + | 0.960227i | ||||
\(677\) | 193016. | − | 334314.i | 0.421130 | − | 0.729419i | −0.574920 | − | 0.818209i | \(-0.694967\pi\) |
0.996050 | + | 0.0887907i | \(0.0283002\pi\) | |||||||
\(678\) | −7182.78 | − | 4069.45i | −0.0156255 | − | 0.00885271i | ||||
\(679\) | 33593.0 | + | 40034.6i | 0.0728634 | + | 0.0868353i | ||||
\(680\) | 20864.5 | − | 137928.i | 0.0451222 | − | 0.298287i | ||||
\(681\) | −14103.0 | − | 79981.8i | −0.0304100 | − | 0.172463i | ||||
\(682\) | −483575. | − | 399111.i | −1.03967 | − | 0.858074i | ||||
\(683\) | 415120.i | 0.889882i | 0.895560 | + | 0.444941i | \(0.146775\pi\) | ||||
−0.895560 | + | 0.444941i | \(0.853225\pi\) | |||||||
\(684\) | 441845. | + | 102228.i | 0.944403 | + | 0.218503i | ||||
\(685\) | 75013.5 | 0.159867 | ||||||||
\(686\) | 69709.1 | − | 84461.7i | 0.148129 | − | 0.179478i | ||||
\(687\) | −63889.8 | + | 11265.5i | −0.135369 | + | 0.0238692i | ||||
\(688\) | −231168. | − | 123619.i | −0.488372 | − | 0.261160i | ||||
\(689\) | −44087.7 | + | 36994.0i | −0.0928708 | + | 0.0779278i | ||||
\(690\) | 10391.7 | − | 18341.9i | 0.0218268 | − | 0.0385253i | ||||
\(691\) | −88934.9 | − | 51346.6i | −0.186258 | − | 0.107536i | 0.403971 | − | 0.914772i | \(-0.367630\pi\) |
−0.590230 | + | 0.807235i | \(0.700963\pi\) | |||||||
\(692\) | −80999.7 | + | 507514.i | −0.169150 | + | 1.05983i | ||||
\(693\) | −65234.2 | + | 23743.3i | −0.135834 | + | 0.0494395i | ||||
\(694\) | 1217.28 | + | 149661.i | 0.00252738 | + | 0.310736i | ||||
\(695\) | −87143.9 | + | 50312.5i | −0.180413 | + | 0.104161i | ||||
\(696\) | −1891.48 | − | 77504.1i | −0.00390466 | − | 0.159995i | ||||
\(697\) | 47291.0 | − | 268201.i | 0.0973448 | − | 0.552070i | ||||
\(698\) | 872434. | − | 325600.i | 1.79070 | − | 0.668303i | ||||
\(699\) | 17593.1 | − | 20966.7i | 0.0360071 | − | 0.0429116i | ||||
\(700\) | 48749.3 | + | 27097.9i | 0.0994884 | + | 0.0553018i | ||||
\(701\) | 624617. | + | 227342.i | 1.27109 | + | 0.462641i | 0.887477 | − | 0.460851i | \(-0.152456\pi\) |
0.383618 | + | 0.923492i | \(0.374678\pi\) | |||||||
\(702\) | −9441.49 | + | 26611.8i | −0.0191587 | + | 0.0540007i | ||||
\(703\) | 319720. | − | 331553.i | 0.646934 | − | 0.670877i | ||||
\(704\) | 561045. | + | 288387.i | 1.13202 | + | 0.581876i | ||||
\(705\) | −15613.9 | − | 5683.00i | −0.0314147 | − | 0.0114340i | ||||
\(706\) | −161416. | + | 961084.i | −0.323846 | + | 1.92820i | ||||
\(707\) | −41482.9 | + | 49437.4i | −0.0829908 | + | 0.0989046i | ||||
\(708\) | −69160.3 | + | 1125.11i | −0.137972 | + | 0.00224454i | ||||
\(709\) | −56907.0 | + | 322735.i | −0.113207 | + | 0.642028i | 0.874416 | + | 0.485178i | \(0.161245\pi\) |
−0.987622 | + | 0.156850i | \(0.949866\pi\) | |||||||
\(710\) | −98945.1 | − | 115989.i | −0.196281 | − | 0.230091i | ||||
\(711\) | −366833. | + | 211791.i | −0.725654 | + | 0.418957i | ||||
\(712\) | 336608. | + | 268730.i | 0.663995 | + | 0.530098i | ||||
\(713\) | 758511. | − | 276076.i | 1.49205 | − | 0.543061i | ||||
\(714\) | 3396.62 | + | 18387.4i | 0.00666270 | + | 0.0360681i | ||||
\(715\) | −15799.5 | − | 9121.84i | −0.0309052 | − | 0.0178431i | ||||
\(716\) | −333119. | − | 384129.i | −0.649791 | − | 0.749293i | ||||
\(717\) | 71826.2 | − | 60269.4i | 0.139716 | − | 0.117235i | ||||
\(718\) | −180957. | + | 106447.i | −0.351016 | + | 0.206484i | ||||
\(719\) | −659794. | + | 116340.i | −1.27629 | + | 0.225045i | −0.770406 | − | 0.637554i | \(-0.779946\pi\) |
−0.505888 | + | 0.862599i | \(0.668835\pi\) | |||||||
\(720\) | 11997.7 | − | 83922.7i | 0.0231438 | − | 0.161888i | ||||
\(721\) | −47875.8 | −0.0920970 | ||||||||
\(722\) | −316992. | + | 413827.i | −0.608099 | + | 0.793861i | ||||
\(723\) | 45438.0i | 0.0869246i | ||||||||
\(724\) | 327760. | + | 546954.i | 0.625287 | + | 1.04346i | ||||
\(725\) | 81064.6 | + | 459740.i | 0.154225 | + | 0.874655i | ||||
\(726\) | −49314.4 | + | 29009.0i | −0.0935622 | + | 0.0550376i | ||||
\(727\) | 350700. | + | 417949.i | 0.663541 | + | 0.790777i | 0.987889 | − | 0.155161i | \(-0.0495895\pi\) |
−0.324349 | + | 0.945938i | \(0.605145\pi\) | |||||||
\(728\) | −3764.96 | − | 9608.03i | −0.00710392 | − | 0.0181289i | ||||
\(729\) | −218096. | + | 377753.i | −0.410386 | + | 0.710810i | ||||
\(730\) | 1358.17 | + | 7352.37i | 0.00254864 | + | 0.0137969i | ||||
\(731\) | 180997. | + | 497286.i | 0.338717 | + | 0.930617i | ||||
\(732\) | −7736.18 | + | 22381.2i | −0.0144379 | + | 0.0417697i | ||||
\(733\) | −494155. | − | 855902.i | −0.919720 | − | 1.59300i | −0.799841 | − | 0.600213i | \(-0.795083\pi\) |
−0.119879 | − | 0.992788i | \(-0.538251\pi\) | |||||||
\(734\) | 104370. | + | 122349.i | 0.193724 | + | 0.227095i | ||||
\(735\) | −15497.5 | − | 2732.62i | −0.0286871 | − | 0.00505830i | ||||
\(736\) | −686216. | + | 434311.i | −1.26679 | + | 0.801762i | ||||
\(737\) | 830803. | + | 697126.i | 1.52955 | + | 1.28344i | ||||
\(738\) | 27413.4 | − | 163221.i | 0.0503326 | − | 0.299684i | ||||
\(739\) | 213102. | − | 585492.i | 0.390210 | − | 1.07209i | −0.576696 | − | 0.816959i | \(-0.695658\pi\) |
0.966906 | − | 0.255134i | \(-0.0821195\pi\) | |||||||
\(740\) | −66847.5 | − | 54263.5i | −0.122074 | − | 0.0990933i | ||||
\(741\) | −11499.8 | − | 11089.4i | −0.0209437 | − | 0.0201963i | ||||
\(742\) | −15733.4 | + | 44346.2i | −0.0285770 | + | 0.0805469i | ||||
\(743\) | −269825. | + | 741339.i | −0.488771 | + | 1.34289i | 0.413024 | + | 0.910720i | \(0.364473\pi\) |
−0.901794 | + | 0.432166i | \(0.857750\pi\) | |||||||
\(744\) | −76990.0 | + | 67871.1i | −0.139088 | + | 0.122614i | ||||
\(745\) | −41429.2 | − | 34763.2i | −0.0746438 | − | 0.0626336i | ||||
\(746\) | 279314. | − | 104243.i | 0.501898 | − | 0.187313i | ||||
\(747\) | 507199. | + | 89432.9i | 0.908944 | + | 0.160271i | ||||
\(748\) | −454957. | − | 1.18942e6i | −0.813143 | − | 2.12585i | ||||
\(749\) | −24852.0 | − | 43045.0i | −0.0442994 | − | 0.0767288i | ||||
\(750\) | −266.397 | − | 32753.0i | −0.000473595 | − | 0.0582275i | ||||
\(751\) | −260386. | − | 715404.i | −0.461676 | − | 1.26845i | −0.924224 | − | 0.381851i | \(-0.875287\pi\) |
0.462548 | − | 0.886594i | \(-0.346935\pi\) | |||||||
\(752\) | 427179. | + | 476700.i | 0.755394 | + | 0.842965i | ||||
\(753\) | 79909.2 | − | 138407.i | 0.140931 | − | 0.244100i | ||||
\(754\) | 42576.7 | − | 75150.0i | 0.0748910 | − | 0.132186i | ||||
\(755\) | 61437.5 | + | 73218.4i | 0.107780 | + | 0.128448i | ||||
\(756\) | 4378.20 | + | 22667.4i | 0.00766041 | + | 0.0396606i | ||||
\(757\) | −10086.4 | − | 57203.0i | −0.0176014 | − | 0.0998222i | 0.974741 | − | 0.223336i | \(-0.0716948\pi\) |
−0.992343 | + | 0.123514i | \(0.960584\pi\) | |||||||
\(758\) | 27926.3 | − | 33836.3i | 0.0486042 | − | 0.0588904i | ||||
\(759\) | − | 192448.i | − | 0.334065i | ||||||
\(760\) | 82127.4 | + | 52444.1i | 0.142187 | + | 0.0907966i | ||||
\(761\) | −50336.3 | −0.0869185 | −0.0434592 | − | 0.999055i | \(-0.513838\pi\) | ||||
−0.0434592 | + | 0.999055i | \(0.513838\pi\) | |||||||
\(762\) | −22981.2 | − | 18967.2i | −0.0395788 | − | 0.0326657i | ||||
\(763\) | 67599.9 | − | 11919.7i | 0.116117 | − | 0.0204746i | ||||
\(764\) | −1.09498e6 | + | 211494.i | −1.87594 | + | 0.362336i | ||||
\(765\) | −131101. | + | 110007.i | −0.224018 | + | 0.187973i | ||||
\(766\) | 56145.5 | + | 31809.6i | 0.0956880 | + | 0.0542126i | ||||
\(767\) | −66737.4 | − | 38530.9i | −0.113443 | − | 0.0654965i | ||||
\(768\) | 61090.6 | − | 83250.2i | 0.103574 | − | 0.141144i | ||||
\(769\) | −890447. | + | 324096.i | −1.50576 | + | 0.548051i | −0.957544 | − | 0.288287i | \(-0.906914\pi\) |
−0.548214 | + | 0.836338i | \(0.684692\pi\) | |||||||
\(770\) | −14915.4 | + | 121.315i | −0.0251567 | + | 0.000204613i | ||||
\(771\) | −134692. | + | 77764.6i | −0.226586 | + | 0.130820i | ||||
\(772\) | −532607. | + | 203724.i | −0.893660 | + | 0.341828i | ||||
\(773\) | 137109. | − | 777582.i | 0.229460 | − | 1.30133i | −0.624514 | − | 0.781013i | \(-0.714703\pi\) |
0.853974 | − | 0.520316i | \(-0.174186\pi\) | |||||||
\(774\) | 112451. | + | 301309.i | 0.187707 | + | 0.502956i | ||||
\(775\) | 397256. | − | 473431.i | 0.661404 | − | 0.788231i | ||||
\(776\) | −437044. | + | 385279.i | −0.725775 | + | 0.639812i | ||||
\(777\) | 10844.9 | + | 3947.23i | 0.0179633 | + | 0.00653809i | ||||
\(778\) | 60609.1 | + | 21503.3i | 0.100133 | + | 0.0355259i | ||||
\(779\) | 157790. | + | 106267.i | 0.260019 | + | 0.175115i | ||||
\(780\) | −1882.11 | + | 2318.58i | −0.00309354 | + | 0.00381095i | ||||
\(781\) | −1.30785e6 | − | 476019.i | −2.14416 | − | 0.780409i | ||||
\(782\) | 1.61678e6 | + | 271542.i | 2.64385 | + | 0.444042i | ||||
\(783\) | −124208. | + | 148025.i | −0.202594 | + | 0.241442i | ||||
\(784\) | 476820. | + | 374358.i | 0.775751 | + | 0.609053i | ||||
\(785\) | −15966.7 | + | 90551.5i | −0.0259105 | + | 0.146946i | ||||
\(786\) | −20063.5 | + | 17115.3i | −0.0324760 | + | 0.0277038i | ||||
\(787\) | 972794. | − | 561643.i | 1.57062 | − | 0.906798i | 0.574528 | − | 0.818485i | \(-0.305186\pi\) |
0.996093 | − | 0.0883138i | \(-0.0281478\pi\) | |||||||
\(788\) | −756111. | − | 261354.i | −1.21768 | − | 0.420898i | ||||
\(789\) | 135416. | − | 49287.3i | 0.217528 | − | 0.0791737i | ||||
\(790\) | −89498.0 | + | 16532.6i | −0.143403 | + | 0.0264902i | ||||
\(791\) | −6512.30 | − | 3759.88i | −0.0104083 | − | 0.00600926i | ||||
\(792\) | −282359. | − | 720569.i | −0.450144 | − | 1.14875i | ||||
\(793\) | −20210.1 | + | 16958.3i | −0.0321383 | + | 0.0269673i | ||||
\(794\) | −271306. | − | 461212.i | −0.430347 | − | 0.731576i | ||||
\(795\) | 13410.3 | − | 2364.59i | 0.0212179 | − | 0.00374130i | ||||
\(796\) | −246341. | + | 147619.i | −0.388786 | + | 0.232979i | ||||
\(797\) | 491125. | 0.773171 | 0.386585 | − | 0.922254i | \(-0.373654\pi\) | ||||
0.386585 | + | 0.922254i | \(0.373654\pi\) | |||||||
\(798\) | −12701.0 | − | 3047.63i | −0.0199450 | − | 0.00478582i | ||||
\(799\) | − | 1.29218e6i | − | 2.02409i | ||||||
\(800\) | −288743. | + | 550676.i | −0.451161 | + | 0.860431i | ||||
\(801\) | −91759.8 | − | 520396.i | −0.143017 | − | 0.811089i | ||||
\(802\) | −86389.8 | − | 146860.i | −0.134312 | − | 0.228326i | ||||
\(803\) | 43873.5 | + | 52286.4i | 0.0680411 | + | 0.0810882i | ||||
\(804\) | 134121. | − | 116310.i | 0.207484 | − | 0.179931i | ||||
\(805\) | 9601.21 | − | 16629.8i | 0.0148161 | − | 0.0256622i | ||||
\(806\) | −112443. | + | 20771.1i | −0.173087 | + | 0.0319735i | ||||
\(807\) | −65234.3 | − | 179230.i | −0.100168 | − | 0.275209i | ||||
\(808\) | −562257. | − | 448875.i | −0.861216 | − | 0.687548i | ||||
\(809\) | 326255. | + | 565090.i | 0.498494 | + | 0.863417i | 0.999998 | − | 0.00173796i | \(-0.000553212\pi\) |
−0.501504 | + | 0.865155i | \(0.667220\pi\) | |||||||
\(810\) | −76546.0 | + | 65297.9i | −0.116668 | + | 0.0995244i | ||||
\(811\) | 820253. | + | 144633.i | 1.24711 | + | 0.219900i | 0.757962 | − | 0.652299i | \(-0.226195\pi\) |
0.489152 | + | 0.872199i | \(0.337306\pi\) | |||||||
\(812\) | −1148.67 | − | 70608.8i | −0.00174214 | − | 0.107089i | ||||
\(813\) | −14268.1 | − | 11972.4i | −0.0215867 | − | 0.0181134i | ||||
\(814\) | −775141. | − | 130187.i | −1.16985 | − | 0.196480i | ||||
\(815\) | −36840.4 | + | 101218.i | −0.0554637 | + | 0.152385i | ||||
\(816\) | −204001. | + | 42856.1i | −0.306374 | + | 0.0643624i | ||||
\(817\) | −368784. | − | 25523.3i | −0.552494 | − | 0.0382378i | ||||
\(818\) | −26713.6 | − | 9477.64i | −0.0399233 | − | 0.0141643i | ||||
\(819\) | −4330.02 | + | 11896.6i | −0.00645539 | + | 0.0177360i | ||||
\(820\) | 17277.3 | − | 31082.1i | 0.0256950 | − | 0.0462256i | ||||
\(821\) | 470031. | + | 394403.i | 0.697333 | + | 0.585132i | 0.921014 | − | 0.389531i | \(-0.127363\pi\) |
−0.223680 | + | 0.974663i | \(0.571807\pi\) | |||||||
\(822\) | −39194.1 | − | 105019.i | −0.0580066 | − | 0.155427i | ||||
\(823\) | −63683.1 | − | 11229.0i | −0.0940209 | − | 0.0165784i | 0.126440 | − | 0.991974i | \(-0.459645\pi\) |
−0.220461 | + | 0.975396i | \(0.570756\pi\) | |||||||
\(824\) | −13021.7 | − | 533570.i | −0.0191785 | − | 0.785845i | ||||
\(825\) | −73673.4 | − | 127606.i | −0.108244 | − | 0.187484i | ||||
\(826\) | −63003.2 | + | 512.438i | −0.0923426 | + | 0.000751071i | ||||
\(827\) | 157495. | + | 432713.i | 0.230279 | + | 0.632687i | 0.999984 | − | 0.00571346i | \(-0.00181866\pi\) |
−0.769704 | + | 0.638400i | \(0.779596\pi\) | |||||||
\(828\) | 983869. | + | 157027.i | 1.43508 | + | 0.229041i | ||||
\(829\) | 140853. | − | 243964.i | 0.204954 | − | 0.354991i | −0.745164 | − | 0.666881i | \(-0.767629\pi\) |
0.950118 | + | 0.311890i | \(0.100962\pi\) | |||||||
\(830\) | 96280.6 | + | 54548.4i | 0.139760 | + | 0.0791819i | ||||
\(831\) | −16170.4 | − | 19271.1i | −0.0234163 | − | 0.0279065i | ||||
\(832\) | 106056. | − | 44573.3i | 0.153211 | − | 0.0643915i | ||||
\(833\) | −212509. | − | 1.20520e6i | −0.306258 | − | 1.73688i | ||||
\(834\) | 115970. | + | 95713.9i | 0.166730 | + | 0.137608i | ||||
\(835\) | 26788.9i | 0.0384222i | ||||||||
\(836\) | 888319. | + | 46975.9i | 1.27103 | + | 0.0672144i | ||||
\(837\) | 255814. | 0.365151 | ||||||||
\(838\) | −451023. | + | 546474.i | −0.642260 | + | 0.778183i | ||||
\(839\) | 670758. | − | 118273.i | 0.952888 | − | 0.168020i | 0.324470 | − | 0.945896i | \(-0.394814\pi\) |
0.628418 | + | 0.777876i | \(0.283703\pi\) | |||||||
\(840\) | −365.189 | + | 2414.14i | −0.000517559 | + | 0.00342140i | ||||
\(841\) | −89019.6 | + | 74696.3i | −0.125862 | + | 0.105611i | ||||
\(842\) | −487603. | + | 860644.i | −0.687769 | + | 1.21395i | ||||
\(843\) | −7301.31 | − | 4215.41i | −0.0102741 | − | 0.00593178i | ||||
\(844\) | 529600. | + | 84524.8i | 0.743470 | + | 0.118659i | ||||
\(845\) | 110068. | − | 40061.6i | 0.154152 | − | 0.0561067i | ||||
\(846\) | −6386.99 | − | 785267.i | −0.00892392 | − | 1.09718i | ||||
\(847\) | −45133.1 | + | 26057.6i | −0.0629112 | + | 0.0363218i | ||||
\(848\) | −498513. | − | 163286.i | −0.693242 | − | 0.227068i | ||||
\(849\) | −17317.9 | + | 98214.6i | −0.0240259 | + | 0.136258i | ||||
\(850\) | 1.17599e6 | − | 438888.i | 1.62766 | − | 0.607457i | ||||
\(851\) | 650420. | − | 775141.i | 0.898121 | − | 1.07034i | ||||
\(852\) | −110687. | + | 199127.i | −0.152482 | + | 0.274316i | ||||
\(853\) | −992042. | − | 361074.i | −1.36343 | − | 0.496247i | −0.446315 | − | 0.894876i | \(-0.647264\pi\) |
−0.917112 | + | 0.398629i | \(0.869486\pi\) | |||||||
\(854\) | −7212.33 | + | 20328.7i | −0.00988917 | + | 0.0278736i | ||||
\(855\) | −33033.8 | − | 114893.i | −0.0451883 | − | 0.157167i | ||||
\(856\) | 472971. | − | 288681.i | 0.645487 | − | 0.393976i | ||||
\(857\) | −1.30046e6 | − | 473329.i | −1.77066 | − | 0.644468i | −0.999974 | − | 0.00725649i | \(-0.997690\pi\) |
−0.770689 | − | 0.637212i | \(-0.780088\pi\) | |||||||
\(858\) | −4515.48 | + | 26885.5i | −0.00613380 | + | 0.0365210i | ||||
\(859\) | 530239. | − | 631914.i | 0.718597 | − | 0.856390i | −0.275897 | − | 0.961187i | \(-0.588975\pi\) |
0.994494 | + | 0.104797i | \(0.0334193\pi\) | |||||||
\(860\) | 1124.01 | + | 69092.6i | 0.00151975 | + | 0.0934189i | ||||
\(861\) | −827.730 | + | 4694.29i | −0.00111656 | + | 0.00633233i | ||||
\(862\) | −589934. | − | 691554.i | −0.793942 | − | 0.930705i | ||||
\(863\) | 786839. | − | 454282.i | 1.05649 | − | 0.609963i | 0.132029 | − | 0.991246i | \(-0.457851\pi\) |
0.924459 | + | 0.381282i | \(0.124517\pi\) | |||||||
\(864\) | −251435. | + | 54959.8i | −0.336820 | + | 0.0736237i | ||||
\(865\) | 127304. | − | 46334.9i | 0.170142 | − | 0.0619265i | ||||
\(866\) | −107200. | − | 580319.i | −0.142941 | − | 0.773805i | ||||
\(867\) | 250467. | + | 144607.i | 0.333206 | + | 0.192377i | ||||
\(868\) | −70629.4 | + | 61250.2i | −0.0937445 | + | 0.0812958i | ||||
\(869\) | −636465. | + | 534057.i | −0.842820 | + | 0.707210i | ||||
\(870\) | −17614.6 | + | 10361.7i | −0.0232720 | + | 0.0136897i | ||||
\(871\) | 194780. | − | 34345.0i | 0.256749 | − | 0.0452718i | ||||
\(872\) | 151230. | + | 750150.i | 0.198886 | + | 0.986542i | ||||
\(873\) | 714780. | 0.937873 | ||||||||
\(874\) | −631962. | + | 955041.i | −0.827310 | + | 1.25026i | ||||
\(875\) | − | 29835.1i | − | 0.0389683i | ||||||
\(876\) | 9583.72 | − | 5743.02i | 0.0124890 | − | 0.00748397i | ||||
\(877\) | 2065.22 | + | 11712.4i | 0.00268514 | + | 0.0152282i | 0.986121 | − | 0.166029i | \(-0.0530945\pi\) |
−0.983436 | + | 0.181257i | \(0.941983\pi\) | |||||||
\(878\) | −535857. | + | 315216.i | −0.695120 | + | 0.408901i | ||||
\(879\) | 22667.4 | + | 27014.0i | 0.0293376 | + | 0.0349631i | ||||
\(880\) | −5408.88 | − | 166198.i | −0.00698461 | − | 0.214615i | ||||
\(881\) | 186534. | − | 323086.i | 0.240329 | − | 0.416261i | −0.720479 | − | 0.693476i | \(-0.756078\pi\) |
0.960808 | + | 0.277215i | \(0.0894115\pi\) | |||||||
\(882\) | −135100. | − | 731357.i | −0.173668 | − | 0.940139i | ||||
\(883\) | 370500. | + | 1.01794e6i | 0.475189 | + | 1.30557i | 0.913533 | + | 0.406764i | \(0.133343\pi\) |
−0.438345 | + | 0.898807i | \(0.644435\pi\) | |||||||
\(884\) | −219496. | − | 75870.2i | −0.280881 | − | 0.0970882i | ||||
\(885\) | 9116.56 | + | 15790.4i | 0.0116398 | + | 0.0201607i | ||||
\(886\) | 346755. | + | 406485.i | 0.441728 | + | 0.517819i | ||||
\(887\) | −864787. | − | 152485.i | −1.09916 | − | 0.193812i | −0.405488 | − | 0.914101i | \(-0.632898\pi\) |
−0.693675 | + | 0.720289i | \(0.744009\pi\) | |||||||
\(888\) | −41041.7 | + | 121939.i | −0.0520475 | + | 0.154638i | ||||
\(889\) | −20792.0 | − | 17446.5i | −0.0263083 | − | 0.0220753i | ||||
\(890\) | 18805.7 | − | 111970.i | 0.0237416 | − | 0.141359i | ||||
\(891\) | −314145. | + | 863105.i | −0.395707 | + | 1.08720i | ||||
\(892\) | −968656. | + | 1.19329e6i | −1.21742 | + | 1.49974i | ||||
\(893\) | 824862. | + | 366547.i | 1.03438 | + | 0.459649i | ||||
\(894\) | −27022.2 | + | 76164.6i | −0.0338100 | + | 0.0952968i | ||||
\(895\) | −45840.5 | + | 125946.i | −0.0572273 | + | 0.157231i | ||||
\(896\) | 56261.3 | − | 75376.1i | 0.0700799 | − | 0.0938896i | ||||
\(897\) | −26885.5 | − | 22559.6i | −0.0334143 | − | 0.0280380i | ||||
\(898\) | −1.20795e6 | + | 450817.i | −1.49795 | + | 0.559046i | ||||
\(899\) | −770611. | − | 135879.i | −0.953489 | − | 0.168126i | ||||
\(900\) | 712484. | − | 272528.i | 0.879610 | − | 0.336454i | ||||
\(901\) | 529486. | + | 917096.i | 0.652236 | + | 1.12971i | ||||
\(902\) | −2640.36 | − | 324626.i | −0.00324526 | − | 0.398998i | ||||
\(903\) | −3167.98 | − | 8703.94i | −0.00388514 | − | 0.0106743i | ||||
\(904\) | 40132.1 | − | 73601.5i | 0.0491084 | − | 0.0900637i | ||||
\(905\) | 84041.4 | − | 145564.i | 0.102611 | − | 0.177728i | ||||
\(906\) | 70405.4 | − | 124269.i | 0.0857728 | − | 0.151393i | ||||
\(907\) | −580246. | − | 691511.i | −0.705339 | − | 0.840590i | 0.287781 | − | 0.957696i | \(-0.407083\pi\) |
−0.993119 | + | 0.117106i | \(0.962638\pi\) | |||||||
\(908\) | 809755. | − | 156403.i | 0.982159 | − | 0.189703i | ||||
\(909\) | 153272. | + | 869248.i | 0.185496 | + | 1.05200i | ||||
\(910\) | −1731.50 | + | 2097.94i | −0.00209093 | + | 0.00253344i | ||||
\(911\) | 249955.i | 0.301179i | 0.988596 | + | 0.150590i | \(0.0481172\pi\) | ||||
−0.988596 | + | 0.150590i | \(0.951883\pi\) | |||||||
\(912\) | 30510.9 | − | 142381.i | 0.0366831 | − | 0.171183i | ||||
\(913\) | 1.01020e6 | 1.21190 | ||||||||
\(914\) | 458272. | + | 378227.i | 0.548568 | + | 0.452752i | ||||
\(915\) | 6147.37 | − | 1083.95i | 0.00734256 | − | 0.00129469i | ||||
\(916\) | −124936. | − | 646836.i | −0.148900 | − | 0.770909i | ||||
\(917\) | −18401.7 | + | 15440.9i | −0.0218836 | + | 0.0183626i | ||||
\(918\) | 452053. | + | 256114.i | 0.536419 | + | 0.303912i | ||||
\(919\) | −852869. | − | 492404.i | −1.00984 | − | 0.583030i | −0.0986929 | − | 0.995118i | \(-0.531466\pi\) |
−0.911144 | + | 0.412088i | \(0.864799\pi\) | |||||||
\(920\) | 187948. | + | 102481.i | 0.222056 | + | 0.121079i | ||||
\(921\) | −138269. | + | 50325.7i | −0.163006 | + | 0.0593295i | ||||
\(922\) | 1.08500e6 | − | 8824.89i | 1.27635 | − | 0.0103812i | ||||
\(923\) | −219813. | + | 126909.i | −0.258018 | + | 0.148967i | ||||
\(924\) | 7963.07 | + | 20818.3i | 0.00932688 | + | 0.0243838i | ||||
\(925\) | 134531. | − | 762965.i | 0.157232 | − | 0.891705i | ||||
\(926\) | −351487. | − | 941797.i | −0.409909 | − | 1.09834i | ||||
\(927\) | −420895. | + | 501603.i | −0.489795 | + | 0.583715i | ||||
\(928\) | 786614. | − | 32006.7i | 0.913410 | − | 0.0371659i | ||||
\(929\) | −703340. | − | 255995.i | −0.814956 | − | 0.296620i | −0.0992864 | − | 0.995059i | \(-0.531656\pi\) |
−0.715669 | + | 0.698439i | \(0.753878\pi\) | |||||||
\(930\) | 25497.5 | + | 9046.17i | 0.0294803 | + | 0.0104592i | ||||
\(931\) | 829618. | + | 206218.i | 0.957147 | + | 0.237918i | ||||
\(932\) | 215788. | + | 175166.i | 0.248425 | + | 0.201659i | ||||
\(933\) | 193954. | + | 70593.5i | 0.222811 | + | 0.0810964i | ||||
\(934\) | −352574. | − | 59215.6i | −0.404162 | − | 0.0678801i | ||||
\(935\) | −215775. | + | 257150.i | −0.246818 | + | 0.294146i | ||||
\(936\) | −133764. | − | 45021.8i | −0.152682 | − | 0.0513892i | ||||
\(937\) | 94995.1 | − | 538744.i | 0.108199 | − | 0.613625i | −0.881696 | − | 0.471818i | \(-0.843598\pi\) |
0.989894 | − | 0.141807i | \(-0.0452911\pi\) | |||||||
\(938\) | 123026. | − | 104948.i | 0.139827 | − | 0.119280i | ||||
\(939\) | 62231.7 | − | 35929.5i | 0.0705798 | − | 0.0407493i | ||||
\(940\) | 55122.5 | − | 159472.i | 0.0623840 | − | 0.180480i | ||||
\(941\) | −356467. | + | 129743.i | −0.402568 | + | 0.146523i | −0.535366 | − | 0.844620i | \(-0.679826\pi\) |
0.132797 | + | 0.991143i | \(0.457604\pi\) | |||||||
\(942\) | 135115. | − | 24959.2i | 0.152266 | − | 0.0281274i | ||||
\(943\) | 361938. | + | 208965.i | 0.407016 | + | 0.234991i | ||||
\(944\) | −22847.3 | − | 702023.i | −0.0256383 | − | 0.787785i | ||||
\(945\) | 4661.84 | − | 3911.75i | 0.00522028 | − | 0.00438033i | ||||
\(946\) | 319846. | + | 543728.i | 0.357404 | + | 0.607575i | ||||
\(947\) | −569475. | + | 100414.i | −0.635001 | + | 0.111968i | −0.481877 | − | 0.876239i | \(-0.660045\pi\) |
−0.153124 | + | 0.988207i | \(0.548934\pi\) | |||||||
\(948\) | 69907.8 | + | 116659.i | 0.0777874 | + | 0.129809i | ||||
\(949\) | 12447.6 | 0.0138214 | ||||||||
\(950\) | −53422.6 | + | 875185.i | −0.0591941 | + | 0.969734i | ||||
\(951\) | 227645.i | 0.251708i | ||||||||
\(952\) | −186133. | + | 37524.2i | −0.205375 | + | 0.0414036i | ||||
\(953\) | 128189. | + | 726994.i | 0.141145 | + | 0.800470i | 0.970382 | + | 0.241574i | \(0.0776638\pi\) |
−0.829238 | + | 0.558896i | \(0.811225\pi\) | |||||||
\(954\) | 326305. | + | 554708.i | 0.358531 | + | 0.609491i | ||||
\(955\) | 188961. | + | 225195.i | 0.207189 | + | 0.246918i | ||||
\(956\) | 623800. | + | 719322.i | 0.682543 | + | 0.787060i | ||||
\(957\) | −93280.7 | + | 161567.i | −0.101852 | + | 0.176412i | ||||
\(958\) | −641641. | + | 118527.i | −0.699135 | + | 0.129148i | ||||
\(959\) | −34922.0 | − | 95947.5i | −0.0379719 | − | 0.104327i | ||||
\(960\) | −27004.6 | − | 3413.37i | −0.0293019 | − | 0.00370375i | ||||
\(961\) | 56198.4 | + | 97338.5i | 0.0608524 | + | 0.105399i | ||||
\(962\) | −109053. | + | 93027.9i | −0.117838 | + | 0.100522i | ||||
\(963\) | −669474. | − | 118046.i | −0.721907 | − | 0.127292i | ||||
\(964\) | −461349. | + | 7505.28i | −0.496450 | + | 0.00807630i | ||||
\(965\) | 115149. | + | 96621.2i | 0.123653 | + | 0.103757i | ||||
\(966\) | −28298.4 | − | 4752.78i | −0.0303254 | − | 0.00509323i | ||||
\(967\) | 57641.4 | − | 158369.i | 0.0616427 | − | 0.169362i | −0.905048 | − | 0.425310i | \(-0.860165\pi\) |
0.966691 | + | 0.255948i | \(0.0823875\pi\) | |||||||
\(968\) | −302684. | − | 495915.i | −0.323027 | − | 0.529245i | ||||
\(969\) | −237690. | + | 172951.i | −0.253141 | + | 0.184194i | ||||
\(970\) | 144740. | + | 51351.8i | 0.153831 | + | 0.0545773i | ||||
\(971\) | −421288. | + | 1.15748e6i | −0.446828 | + | 1.22765i | 0.488093 | + | 0.872792i | \(0.337693\pi\) |
−0.934920 | + | 0.354857i | \(0.884529\pi\) | |||||||
\(972\) | 416120. | + | 231305.i | 0.440439 | + | 0.244823i | ||||
\(973\) | 104922. | + | 88040.4i | 0.110826 | + | 0.0929943i | ||||
\(974\) | 91331.7 | + | 244720.i | 0.0962728 | + | 0.257960i | ||||
\(975\) | −26463.2 | − | 4666.17i | −0.0278376 | − | 0.00490853i | ||||
\(976\) | −228522. | − | 74851.4i | −0.239899 | − | 0.0785779i | ||||
\(977\) | 492080. | + | 852308.i | 0.515522 | + | 0.892909i | 0.999838 | + | 0.0180164i | \(0.00573511\pi\) |
−0.484316 | + | 0.874893i | \(0.660932\pi\) | |||||||
\(978\) | 160955. | − | 1309.13i | 0.168278 | − | 0.00136869i | ||||
\(979\) | −354500. | − | 973980.i | −0.369871 | − | 1.01621i | ||||
\(980\) | 25185.5 | − | 157803.i | 0.0262239 | − | 0.164309i | ||||
\(981\) | 469413. | − | 813047.i | 0.487772 | − | 0.844846i | ||||
\(982\) | −425885. | − | 241288.i | −0.441641 | − | 0.250214i | ||||
\(983\) | 531444. | + | 633351.i | 0.549985 | + | 0.655447i | 0.967395 | − | 0.253272i | \(-0.0815066\pi\) |
−0.417410 | + | 0.908718i | \(0.637062\pi\) | |||||||
\(984\) | −52542.4 | − | 7948.15i | −0.0542650 | − | 0.00820873i | ||||
\(985\) | 36619.4 | + | 207679.i | 0.0377432 | + | 0.214052i | ||||
\(986\) | −1.22572e6 | − | 1.01163e6i | −1.26078 | − | 1.04056i | ||||
\(987\) | 22617.0i | 0.0232167i | ||||||||
\(988\) | 110695. | − | 118593.i | 0.113400 | − | 0.121492i | ||||
\(989\) | −812111. | −0.830277 | ||||||||
\(990\) | −129857. | + | 157338.i | −0.132493 | + | 0.160533i | ||||
\(991\) | −1.18120e6 | + | 208278.i | −1.20275 | + | 0.212078i | −0.738889 | − | 0.673828i | \(-0.764649\pi\) |
−0.463866 | + | 0.885906i | \(0.653538\pi\) | |||||||
\(992\) | −701836. | − | 770496.i | −0.713202 | − | 0.782974i | ||||
\(993\) | −74216.4 | + | 62275.0i | −0.0752665 | + | 0.0631561i | ||||
\(994\) | −102295. | + | 180556.i | −0.103534 | + | 0.182742i | ||||
\(995\) | 65560.1 | + | 37851.2i | 0.0662207 | + | 0.0382325i | ||||
\(996\) | 26062.0 | − | 163295.i | 0.0262717 | − | 0.164609i | ||||
\(997\) | −379101. | + | 137982.i | −0.381386 | + | 0.138813i | −0.525597 | − | 0.850734i | \(-0.676158\pi\) |
0.144211 | + | 0.989547i | \(0.453936\pi\) | |||||||
\(998\) | −4118.23 | − | 506328.i | −0.00413475 | − | 0.508359i | ||||
\(999\) | 277718. | − | 160341.i | 0.278275 | − | 0.160662i |
(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 | 76.5.l.a.23.9 | yes | 228 | |
4.3 | odd | 2 | inner | 76.5.l.a.23.1 | ✓ | 228 | |
19.5 | even | 9 | inner | 76.5.l.a.43.1 | yes | 228 | |
76.43 | odd | 18 | inner | 76.5.l.a.43.9 | yes | 228 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.5.l.a.23.1 | ✓ | 228 | 4.3 | odd | 2 | inner | |
76.5.l.a.23.9 | yes | 228 | 1.1 | even | 1 | trivial | |
76.5.l.a.43.1 | yes | 228 | 19.5 | even | 9 | inner | |
76.5.l.a.43.9 | yes | 228 | 76.43 | odd | 18 | inner |