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 | 23.1 | ||
Character | \(\chi\) | \(=\) | 76.23 |
Dual form | 76.5.l.a.43.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.99987 | − | 0.0325330i | −0.999967 | − | 0.00813326i | ||||
\(3\) | −1.55169 | + | 0.273604i | −0.172410 | + | 0.0304005i | −0.259186 | − | 0.965827i | \(-0.583454\pi\) |
0.0867768 | + | 0.996228i | \(0.472343\pi\) | |||||||
\(4\) | 15.9979 | + | 0.260256i | 0.999868 | + | 0.0162660i | ||||
\(5\) | 3.23088 | − | 2.71103i | 0.129235 | − | 0.108441i | −0.575879 | − | 0.817535i | \(-0.695340\pi\) |
0.705114 | + | 0.709094i | \(0.250896\pi\) | |||||||
\(6\) | 6.21545 | − | 1.04390i | 0.172651 | − | 0.0289972i | ||||
\(7\) | 4.97171 | + | 2.87042i | 0.101463 | + | 0.0585800i | 0.549873 | − | 0.835248i | \(-0.314676\pi\) |
−0.448410 | + | 0.893828i | \(0.648009\pi\) | |||||||
\(8\) | −63.9809 | − | 1.56145i | −0.999702 | − | 0.0243976i | ||||
\(9\) | −73.7822 | + | 26.8545i | −0.910892 | + | 0.331537i | ||||
\(10\) | −13.0113 | + | 10.7387i | −0.130113 | + | 0.107387i | ||||
\(11\) | 133.376 | − | 77.0048i | 1.10228 | − | 0.636404i | 0.165464 | − | 0.986216i | \(-0.447088\pi\) |
0.936820 | + | 0.349812i | \(0.113755\pi\) | |||||||
\(12\) | −24.8949 | + | 3.97326i | −0.172881 | + | 0.0275921i | ||||
\(13\) | −4.87717 | + | 27.6598i | −0.0288590 | + | 0.163667i | −0.995831 | − | 0.0912139i | \(-0.970925\pi\) |
0.966972 | + | 0.254881i | \(0.0820364\pi\) | |||||||
\(14\) | −19.7928 | − | 11.6430i | −0.100984 | − | 0.0594033i | ||||
\(15\) | −4.27157 | + | 5.09066i | −0.0189847 | + | 0.0226251i | ||||
\(16\) | 255.865 | + | 8.32708i | 0.999471 | + | 0.0325276i | ||||
\(17\) | 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 | ||||
\(22\) | −535.993 | + | 303.670i | −1.10742 | + | 0.627417i | ||||
\(23\) | 509.778 | − | 607.530i | 0.963663 | − | 1.14845i | −0.0252089 | − | 0.999682i | \(-0.508025\pi\) |
0.988872 | − | 0.148767i | \(-0.0475305\pi\) | |||||||
\(24\) | 99.7057 | − | 15.0826i | 0.173100 | − | 0.0261851i | ||||
\(25\) | −105.441 | + | 597.987i | −0.168706 | + | 0.956779i | ||||
\(26\) | 20.4079 | − | 110.477i | 0.0301892 | − | 0.163427i | ||||
\(27\) | 217.666 | − | 125.670i | 0.298582 | − | 0.172387i | ||||
\(28\) | 78.7898 | + | 47.2145i | 0.100497 | + | 0.0602226i | ||||
\(29\) | 722.448 | − | 262.950i | 0.859035 | − | 0.312663i | 0.125316 | − | 0.992117i | \(-0.460005\pi\) |
0.733718 | + | 0.679454i | \(0.237783\pi\) | |||||||
\(30\) | 17.2513 | − | 20.2230i | 0.0191681 | − | 0.0224700i | ||||
\(31\) | 881.441 | + | 508.900i | 0.917212 | + | 0.529553i | 0.882745 | − | 0.469853i | \(-0.155693\pi\) |
0.0344677 | + | 0.999406i | \(0.489026\pi\) | |||||||
\(32\) | −1023.15 | − | 41.6313i | −0.999173 | − | 0.0406555i | ||||
\(33\) | −185.889 | + | 155.980i | −0.170697 | + | 0.143232i | ||||
\(34\) | −1936.70 | − | 722.792i | −1.67534 | − | 0.625253i | ||||
\(35\) | 23.8448 | − | 4.20448i | 0.0194651 | − | 0.00343223i | ||||
\(36\) | −1187.35 | + | 410.413i | −0.916164 | + | 0.316677i | ||||
\(37\) | −1275.89 | −0.931987 | −0.465993 | − | 0.884788i | \(-0.654303\pi\) | ||||
−0.465993 | + | 0.884788i | \(0.654303\pi\) | |||||||
\(38\) | −1010.77 | + | 1031.26i | −0.699976 | + | 0.714166i | ||||
\(39\) | − | 44.2538i | − | 0.0290952i | ||||||
\(40\) | −210.948 | + | 168.409i | −0.131842 | + | 0.105256i | ||||
\(41\) | −91.5083 | − | 518.969i | −0.0544368 | − | 0.308727i | 0.945416 | − | 0.325865i | \(-0.105656\pi\) |
−0.999853 | + | 0.0171384i | \(0.994544\pi\) | |||||||
\(42\) | 33.8978 | + | 12.6510i | 0.0192165 | + | 0.00717175i | ||||
\(43\) | −658.218 | − | 784.433i | −0.355986 | − | 0.424247i | 0.558097 | − | 0.829776i | \(-0.311532\pi\) |
−0.914082 | + | 0.405529i | \(0.867087\pi\) | |||||||
\(44\) | 2153.78 | − | 1197.20i | 1.11249 | − | 0.618390i | ||||
\(45\) | −165.578 | + | 286.790i | −0.0817670 | + | 0.141625i | ||||
\(46\) | −2058.81 | + | 2413.45i | −0.972972 | + | 1.14057i | ||||
\(47\) | 855.180 | + | 2349.59i | 0.387135 | + | 1.06364i | 0.968285 | + | 0.249848i | \(0.0803805\pi\) |
−0.581151 | + | 0.813796i | \(0.697397\pi\) | |||||||
\(48\) | −399.300 | + | 57.0846i | −0.173307 | + | 0.0247763i | ||||
\(49\) | −1184.02 | − | 2050.79i | −0.493137 | − | 0.854138i | ||||
\(50\) | 441.205 | − | 2388.44i | 0.176482 | − | 0.955375i | ||||
\(51\) | −801.904 | − | 141.397i | −0.308306 | − | 0.0543627i | ||||
\(52\) | −85.2230 | + | 441.229i | −0.0315174 | + | 0.163176i | ||||
\(53\) | 1569.71 | + | 1317.15i | 0.558816 | + | 0.468902i | 0.877913 | − | 0.478820i | \(-0.158935\pi\) |
−0.319098 | + | 0.947722i | \(0.603380\pi\) | |||||||
\(54\) | −874.725 | + | 495.581i | −0.299974 | + | 0.169952i | ||||
\(55\) | 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 | \(-0.759945\pi\) |
0.998431 | − | 0.0559941i | \(-0.0178328\pi\) | |||||||
\(60\) | −69.6609 | + | 80.3280i | −0.0193503 | + | 0.0223133i | ||||
\(61\) | 719.569 | + | 603.790i | 0.193380 | + | 0.162265i | 0.734337 | − | 0.678785i | \(-0.237493\pi\) |
−0.540957 | + | 0.841051i | \(0.681938\pi\) | |||||||
\(62\) | −3509.09 | − | 2064.21i | −0.912875 | − | 0.536995i | ||||
\(63\) | −443.908 | − | 78.2729i | −0.111844 | − | 0.0197211i | ||||
\(64\) | 4091.12 | + | 199.806i | 0.998810 | + | 0.0487807i | ||||
\(65\) | 59.2290 | + | 102.588i | 0.0140187 | + | 0.0242811i | ||||
\(66\) | 748.608 | − | 617.851i | 0.171857 | − | 0.141839i | ||||
\(67\) | 2408.51 | + | 6617.32i | 0.536535 | + | 1.47412i | 0.851162 | + | 0.524903i | \(0.175898\pi\) |
−0.314627 | + | 0.949215i | \(0.601879\pi\) | |||||||
\(68\) | 7723.02 | + | 2954.08i | 1.67020 | + | 0.638858i | ||||
\(69\) | −624.793 | + | 1082.17i | −0.131232 | + | 0.227300i | ||||
\(70\) | −95.5128 | + | 16.0416i | −0.0194924 | + | 0.00327380i | ||||
\(71\) | −5808.88 | − | 6922.75i | −1.15233 | − | 1.37329i | −0.915786 | − | 0.401668i | \(-0.868431\pi\) |
−0.236541 | − | 0.971622i | \(-0.576014\pi\) | |||||||
\(72\) | 4762.59 | − | 1602.97i | 0.918709 | − | 0.309215i | ||||
\(73\) | −76.9586 | − | 436.454i | −0.0144415 | − | 0.0819016i | 0.976735 | − | 0.214449i | \(-0.0687955\pi\) |
−0.991177 | + | 0.132547i | \(0.957684\pi\) | |||||||
\(74\) | 5103.39 | + | 41.5086i | 0.931956 | + | 0.00758009i | ||||
\(75\) | − | 956.738i | − | 0.170087i | ||||||
\(76\) | 4076.48 | − | 4092.00i | 0.705762 | − | 0.708449i | ||||
\(77\) | 884.144 | 0.149122 | ||||||||
\(78\) | −1.43971 | + | 177.009i | −0.000236639 | + | 0.0290942i | ||||
\(79\) | −5312.80 | + | 936.791i | −0.851275 | + | 0.150103i | −0.582229 | − | 0.813025i | \(-0.697819\pi\) |
−0.269046 | + | 0.963127i | \(0.586708\pi\) | |||||||
\(80\) | 849.243 | − | 666.753i | 0.132694 | − | 0.104180i | ||||
\(81\) | 4568.61 | − | 3833.52i | 0.696328 | − | 0.584288i | ||||
\(82\) | 349.138 | + | 2078.79i | 0.0519241 | + | 0.309159i | ||||
\(83\) | 5680.57 | + | 3279.68i | 0.824585 | + | 0.476074i | 0.851995 | − | 0.523550i | \(-0.175393\pi\) |
−0.0274101 | + | 0.999624i | \(0.508726\pi\) | |||||||
\(84\) | −135.175 | − | 51.7050i | −0.0191575 | − | 0.00732780i | ||||
\(85\) | 2048.19 | − | 745.481i | 0.283487 | − | 0.103181i | ||||
\(86\) | 2607.26 | + | 3159.04i | 0.352523 | + | 0.427129i | ||||
\(87\) | −1049.07 | + | 605.681i | −0.138601 | + | 0.0800212i | ||||
\(88\) | −8653.78 | + | 4718.58i | −1.11748 | + | 0.609321i | ||||
\(89\) | −1168.66 | + | 6627.77i | −0.147539 | + | 0.836734i | 0.817755 | + | 0.575567i | \(0.195219\pi\) |
−0.965294 | + | 0.261167i | \(0.915893\pi\) | |||||||
\(90\) | 671.621 | − | 1141.73i | 0.0829161 | − | 0.140955i | ||||
\(91\) | −103.643 | + | 123.517i | −0.0125158 | + | 0.0149157i | ||||
\(92\) | 8313.48 | − | 9586.52i | 0.982217 | − | 1.13262i | ||||
\(93\) | −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 | \(0.771842\pi\) | |||||||
\(98\) | 4669.21 | + | 8241.39i | 0.486174 | + | 0.858121i | ||||
\(99\) | −7772.87 | + | 9263.35i | −0.793069 | + | 0.945143i | ||||
\(100\) | −1842.47 | + | 9539.08i | −0.184247 | + | 0.953908i | ||||
\(101\) | 1952.07 | − | 11070.8i | 0.191361 | − | 1.08526i | −0.726145 | − | 0.687541i | \(-0.758690\pi\) |
0.917506 | − | 0.397721i | \(-0.130199\pi\) | |||||||
\(102\) | 3202.91 | + | 591.659i | 0.307854 | + | 0.0568684i | ||||
\(103\) | −7222.23 | + | 4169.75i | −0.680764 | + | 0.393039i | −0.800143 | − | 0.599809i | \(-0.795243\pi\) |
0.119379 | + | 0.992849i | \(0.461910\pi\) | |||||||
\(104\) | 355.235 | − | 1762.08i | 0.0328435 | − | 0.162915i | ||||
\(105\) | −35.8493 | + | 13.0481i | −0.00325164 | + | 0.00118350i | ||||
\(106\) | −6235.79 | − | 5319.48i | −0.554983 | − | 0.473431i | ||||
\(107\) | −7498.03 | − | 4328.99i | −0.654907 | − | 0.378111i | 0.135427 | − | 0.990787i | \(-0.456759\pi\) |
−0.790334 | + | 0.612677i | \(0.790093\pi\) | |||||||
\(108\) | 3514.91 | − | 1953.80i | 0.301347 | − | 0.167507i | ||||
\(109\) | −9159.53 | + | 7685.76i | −0.770939 | + | 0.646895i | −0.940949 | − | 0.338548i | \(-0.890064\pi\) |
0.170010 | + | 0.985442i | \(0.445620\pi\) | |||||||
\(110\) | −908.470 | + | 2434.21i | −0.0750801 | + | 0.201175i | ||||
\(111\) | 1979.78 | − | 349.089i | 0.160684 | − | 0.0283328i | ||||
\(112\) | 1248.18 | + | 775.838i | 0.0995043 | + | 0.0618493i | ||||
\(113\) | 1309.87 | 0.102582 | 0.0512911 | − | 0.998684i | \(-0.483666\pi\) | ||||
0.0512911 | + | 0.998684i | \(0.483666\pi\) | |||||||
\(114\) | 1286.24 | − | 1876.74i | 0.0989717 | − | 0.144409i | ||||
\(115\) | − | 3344.88i | − | 0.252921i | ||||||
\(116\) | 11626.1 | − | 4018.62i | 0.864007 | − | 0.298649i | ||||
\(117\) | −382.942 | − | 2171.77i | −0.0279745 | − | 0.158651i | ||||
\(118\) | −3837.40 | + | 10282.2i | −0.275596 | + | 0.738450i | ||||
\(119\) | 1907.04 | + | 2272.73i | 0.134669 | + | 0.160492i | ||||
\(120\) | 281.248 | − | 319.035i | 0.0195311 | − | 0.0221552i | ||||
\(121\) | 4538.99 | − | 7861.76i | 0.310019 | − | 0.536969i | ||||
\(122\) | −2858.54 | − | 2438.49i | −0.192054 | − | 0.163833i | ||||
\(123\) | 283.985 | + | 780.241i | 0.0187709 | + | 0.0515726i | ||||
\(124\) | 13968.7 | + | 8370.73i | 0.908477 | + | 0.544402i | ||||
\(125\) | 2598.50 | + | 4500.73i | 0.166304 | + | 0.288047i | ||||
\(126\) | 1773.03 | + | 327.523i | 0.111680 | + | 0.0206301i | ||||
\(127\) | −4656.05 | − | 820.988i | −0.288676 | − | 0.0509013i | 0.0274351 | − | 0.999624i | \(-0.491266\pi\) |
−0.316111 | + | 0.948722i | \(0.602377\pi\) | |||||||
\(128\) | −16357.5 | − | 932.293i | −0.998380 | − | 0.0569027i | ||||
\(129\) | 1235.97 | + | 1037.10i | 0.0742727 | + | 0.0623222i | ||||
\(130\) | −233.571 | − | 412.264i | −0.0138207 | − | 0.0243943i | ||||
\(131\) | −1431.14 | + | 3932.01i | −0.0833946 | + | 0.229125i | −0.974380 | − | 0.224906i | \(-0.927792\pi\) |
0.890986 | + | 0.454031i | \(0.150015\pi\) | |||||||
\(132\) | −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 | ||||
\(136\) | −30795.0 | − | 12067.2i | −1.66495 | − | 0.652421i | ||||
\(137\) | 13624.7 | + | 11432.5i | 0.725914 | + | 0.609114i | 0.929014 | − | 0.370044i | \(-0.120657\pi\) |
−0.203100 | + | 0.979158i | \(0.565102\pi\) | |||||||
\(138\) | 2534.30 | − | 4308.23i | 0.133076 | − | 0.226225i | ||||
\(139\) | 23495.8 | + | 4142.95i | 1.21608 | + | 0.214427i | 0.744636 | − | 0.667471i | \(-0.232623\pi\) |
0.471441 | + | 0.881898i | \(0.343734\pi\) | |||||||
\(140\) | 382.561 | − | 61.0571i | 0.0195184 | − | 0.00311516i | ||||
\(141\) | −1969.83 | − | 3411.85i | −0.0990811 | − | 0.171613i | ||||
\(142\) | 23009.5 | + | 27879.1i | 1.14112 | + | 1.38262i | ||||
\(143\) | 1479.44 | + | 4064.72i | 0.0723477 | + | 0.198774i | ||||
\(144\) | −19101.9 | + | 6256.73i | −0.921194 | + | 0.301733i | ||||
\(145\) | 1621.28 | − | 2808.14i | 0.0771120 | − | 0.133562i | ||||
\(146\) | 293.625 | + | 1748.26i | 0.0137749 | + | 0.0820163i | ||||
\(147\) | 2398.34 | + | 2858.22i | 0.110988 | + | 0.132270i | ||||
\(148\) | −20411.5 | − | 332.057i | −0.931863 | − | 0.0151597i | ||||
\(149\) | −2226.67 | − | 12628.1i | −0.100296 | − | 0.568806i | −0.992995 | − | 0.118154i | \(-0.962303\pi\) |
0.892700 | − | 0.450652i | \(-0.148809\pi\) | |||||||
\(150\) | −31.1256 | + | 3826.82i | −0.00138336 | + | 0.170081i | ||||
\(151\) | − | 22662.1i | − | 0.993906i | −0.867777 | − | 0.496953i | \(-0.834452\pi\) | ||
0.867777 | − | 0.496953i | \(-0.165548\pi\) | |||||||
\(152\) | −16438.5 | + | 16234.9i | −0.711500 | + | 0.702686i | ||||
\(153\) | −40577.4 | −1.73341 | ||||||||
\(154\) | −3536.46 | − | 28.7639i | −0.149117 | − | 0.00121285i | ||||
\(155\) | 4227.48 | − | 745.418i | 0.175962 | − | 0.0310268i | ||||
\(156\) | 11.5173 | − | 707.966i | 0.000473261 | − | 0.0290913i | ||||
\(157\) | −16700.6 | + | 14013.4i | −0.677536 | + | 0.568520i | −0.915285 | − | 0.402807i | \(-0.868035\pi\) |
0.237750 | + | 0.971326i | \(0.423590\pi\) | |||||||
\(158\) | 21281.0 | − | 3574.20i | 0.852467 | − | 0.143174i | ||||
\(159\) | −2796.08 | − | 1614.32i | −0.110600 | − | 0.0638550i | ||||
\(160\) | −3418.55 | + | 2639.30i | −0.133537 | + | 0.103097i | ||||
\(161\) | 4278.33 | − | 1557.19i | 0.165053 | − | 0.0600743i | ||||
\(162\) | −18398.5 | + | 15184.9i | −0.701057 | + | 0.578606i | ||||
\(163\) | 22117.5 | − | 12769.6i | 0.832456 | − | 0.480618i | −0.0222371 | − | 0.999753i | \(-0.507079\pi\) |
0.854693 | + | 0.519134i | \(0.173746\pi\) | |||||||
\(164\) | −1328.87 | − | 8326.23i | −0.0494079 | − | 0.309571i | ||||
\(165\) | −177.721 | + | 1007.90i | −0.00652785 | + | 0.0370213i | ||||
\(166\) | −22614.8 | − | 13303.1i | −0.820686 | − | 0.482765i | ||||
\(167\) | 4082.77 | − | 4865.66i | 0.146394 | − | 0.174465i | −0.687865 | − | 0.725839i | \(-0.741452\pi\) |
0.834258 | + | 0.551374i | \(0.185896\pi\) | |||||||
\(168\) | 539.001 | + | 211.211i | 0.0190973 | + | 0.00748337i | ||||
\(169\) | 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 | \(0.430812\pi\) | |||||||
\(174\) | 4215.85 | − | 2388.51i | 0.139247 | − | 0.0788913i | ||||
\(175\) | −2240.70 | + | 2670.36i | −0.0731656 | + | 0.0871953i | ||||
\(176\) | 34767.5 | − | 18592.2i | 1.12240 | − | 0.600212i | ||||
\(177\) | −750.697 | + | 4257.41i | −0.0239617 | + | 0.135894i | ||||
\(178\) | 4890.09 | − | 26472.2i | 0.154339 | − | 0.835507i | ||||
\(179\) | 27520.8 | − | 15889.1i | 0.858924 | − | 0.495900i | −0.00472755 | − | 0.999989i | \(-0.501505\pi\) |
0.863652 | + | 0.504089i | \(0.168171\pi\) | |||||||
\(180\) | −2723.54 | + | 4544.94i | −0.0840598 | + | 0.140276i | ||||
\(181\) | 37449.1 | − | 13630.4i | 1.14310 | − | 0.416055i | 0.300069 | − | 0.953918i | \(-0.402990\pi\) |
0.843032 | + | 0.537863i | \(0.180768\pi\) | |||||||
\(182\) | 418.577 | − | 490.680i | 0.0126367 | − | 0.0148134i | ||||
\(183\) | −1281.74 | − | 740.016i | −0.0382736 | − | 0.0220973i | ||||
\(184\) | −33564.7 | + | 38074.3i | −0.991396 | + | 1.12460i | ||||
\(185\) | −4122.25 | + | 3458.98i | −0.120446 | + | 0.101066i | ||||
\(186\) | 6009.79 | + | 2242.91i | 0.173713 | + | 0.0648314i | ||||
\(187\) | 78382.2 | − | 13820.9i | 2.24148 | − | 0.395233i | ||||
\(188\) | 13069.6 | + | 37811.0i | 0.369782 | + | 1.06980i | ||||
\(189\) | 1442.90 | 0.0403936 | ||||||||
\(190\) | −469.897 | + | 6072.08i | −0.0130165 | + | 0.168202i | ||||
\(191\) | − | 69700.9i | − | 1.91061i | −0.295624 | − | 0.955304i | \(-0.595528\pi\) | ||
0.295624 | − | 0.955304i | \(-0.404472\pi\) | |||||||
\(192\) | −6402.81 | + | 809.313i | −0.173687 | + | 0.0219540i | ||||
\(193\) | 6188.82 | + | 35098.6i | 0.166147 | + | 0.942268i | 0.947874 | + | 0.318647i | \(0.103228\pi\) |
−0.781726 | + | 0.623622i | \(0.785661\pi\) | |||||||
\(194\) | 34115.4 | + | 12732.2i | 0.906456 | + | 0.338297i | ||||
\(195\) | −119.973 | − | 142.979i | −0.00315512 | − | 0.00376012i | ||||
\(196\) | −18408.1 | − | 33116.4i | −0.479178 | − | 0.862046i | ||||
\(197\) | −25000.2 | + | 43301.6i | −0.644186 | + | 1.11576i | 0.340303 | + | 0.940316i | \(0.389470\pi\) |
−0.984489 | + | 0.175446i | \(0.943863\pi\) | |||||||
\(198\) | 31391.8 | − | 36799.3i | 0.800730 | − | 0.938661i | ||||
\(199\) | −6138.95 | − | 16866.6i | −0.155020 | − | 0.425914i | 0.837734 | − | 0.546079i | \(-0.183880\pi\) |
−0.992754 | + | 0.120165i | \(0.961658\pi\) | |||||||
\(200\) | 7679.95 | − | 38095.1i | 0.191999 | − | 0.952378i | ||||
\(201\) | −5547.78 | − | 9609.03i | −0.137318 | − | 0.237841i | ||||
\(202\) | −8168.21 | + | 44218.1i | −0.200182 | + | 1.08367i | ||||
\(203\) | 4346.58 | + | 766.419i | 0.105476 | + | 0.0185983i | ||||
\(204\) | −12792.0 | − | 2470.76i | −0.307381 | − | 0.0593704i | ||||
\(205\) | −1702.59 | − | 1428.65i | −0.0405139 | − | 0.0339952i | ||||
\(206\) | 29023.6 | − | 16443.5i | 0.683938 | − | 0.387490i | ||||
\(207\) | −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 | \(0.233963\pi\) |
−0.999320 | + | 0.0368761i | \(0.988259\pi\) | |||||||
\(212\) | 24769.3 | + | 21480.1i | 0.551114 | + | 0.477930i | ||||
\(213\) | 10907.7 | + | 9152.61i | 0.240421 | + | 0.201737i | ||||
\(214\) | 29850.3 | + | 17559.3i | 0.651810 | + | 0.383425i | ||||
\(215\) | −4253.25 | − | 749.962i | −0.0920118 | − | 0.0162242i | ||||
\(216\) | −14122.7 | + | 7700.60i | −0.302699 | + | 0.165051i | ||||
\(217\) | 2921.51 | + | 5060.21i | 0.0620424 | + | 0.107461i | ||||
\(218\) | 36886.9 | − | 30444.0i | 0.776175 | − | 0.640603i | ||||
\(219\) | 238.831 | + | 656.183i | 0.00497970 | + | 0.0136816i | ||||
\(220\) | 3712.95 | − | 9706.98i | 0.0767139 | − | 0.200557i | ||||
\(221\) | −7257.47 | + | 12570.3i | −0.148594 | + | 0.257372i | ||||
\(222\) | −7930.22 | + | 1331.90i | −0.160909 | + | 0.0270250i | ||||
\(223\) | −61746.1 | − | 73586.1i | −1.24165 | − | 1.47974i | −0.819356 | − | 0.573284i | \(-0.805669\pi\) |
−0.422295 | − | 0.906458i | \(-0.638775\pi\) | |||||||
\(224\) | −4967.32 | − | 3143.86i | −0.0989980 | − | 0.0626566i | ||||
\(225\) | −8278.97 | − | 46952.4i | −0.163535 | − | 0.927454i | ||||
\(226\) | −5239.31 | − | 42.6141i | −0.102579 | − | 0.000834327i | ||||
\(227\) | 51545.0i | 1.00031i | 0.865935 | + | 0.500156i | \(0.166724\pi\) | ||||
−0.865935 | + | 0.500156i | \(0.833276\pi\) | |||||||
\(228\) | −5205.83 | + | 7464.85i | −0.100143 | + | 0.143599i | ||||
\(229\) | −41174.4 | −0.785157 | −0.392579 | − | 0.919718i | \(-0.628417\pi\) | ||||
−0.392579 | + | 0.919718i | \(0.628417\pi\) | |||||||
\(230\) | −108.819 | + | 13379.1i | −0.00205707 | + | 0.252913i | ||||
\(231\) | −1371.92 | + | 241.906i | −0.0257101 | + | 0.00453338i | ||||
\(232\) | −46633.5 | + | 15695.7i | −0.866407 | + | 0.291612i | ||||
\(233\) | 13306.9 | − | 11165.8i | 0.245112 | − | 0.205673i | −0.511952 | − | 0.859014i | \(-0.671077\pi\) |
0.757064 | + | 0.653341i | \(0.226633\pi\) | |||||||
\(234\) | 1461.06 | + | 8699.27i | 0.0266832 | + | 0.158873i | ||||
\(235\) | 9132.79 | + | 5272.82i | 0.165374 | + | 0.0954789i | ||||
\(236\) | 15683.6 | − | 41002.5i | 0.281593 | − | 0.736184i | ||||
\(237\) | 7987.50 | − | 2907.21i | 0.142205 | − | 0.0517583i | ||||
\(238\) | −7553.99 | − | 9152.65i | −0.133359 | − | 0.161582i | ||||
\(239\) | −51535.6 | + | 29754.1i | −0.902217 | + | 0.520895i | −0.877919 | − | 0.478809i | \(-0.841069\pi\) |
−0.0242984 | + | 0.999705i | \(0.507735\pi\) | |||||||
\(240\) | −1135.33 | + | 1266.95i | −0.0197106 | + | 0.0219956i | ||||
\(241\) | −5007.68 | + | 28400.0i | −0.0862190 | + | 0.488972i | 0.910868 | + | 0.412698i | \(0.135414\pi\) |
−0.997087 | + | 0.0762741i | \(0.975698\pi\) | |||||||
\(242\) | −18411.1 | + | 31298.3i | −0.314376 | + | 0.534429i | ||||
\(243\) | −19126.4 | + | 22793.9i | −0.323907 | + | 0.386017i | ||||
\(244\) | 11354.4 | + | 9846.63i | 0.190715 | + | 0.165389i | ||||
\(245\) | −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 | ||||
\(250\) | −10247.2 | − | 18086.9i | −0.163956 | − | 0.289390i | ||||
\(251\) | −65199.0 | + | 77701.2i | −1.03489 | + | 1.23333i | −0.0629703 | + | 0.998015i | \(0.520057\pi\) |
−0.971919 | + | 0.235317i | \(0.924387\pi\) | |||||||
\(252\) | −7081.21 | − | 1367.73i | −0.111508 | − | 0.0215377i | ||||
\(253\) | 21209.6 | − | 120285.i | 0.331353 | − | 1.87920i | ||||
\(254\) | 18596.9 | + | 3435.32i | 0.288252 | + | 0.0532475i | ||||
\(255\) | −2974.19 | + | 1717.15i | −0.0457391 | + | 0.0264075i | ||||
\(256\) | 65397.3 | + | 4261.21i | 0.997884 | + | 0.0650209i | ||||
\(257\) | −92756.7 | + | 33760.7i | −1.40436 | + | 0.511146i | −0.929470 | − | 0.368899i | \(-0.879735\pi\) |
−0.474892 | + | 0.880044i | \(0.657513\pi\) | |||||||
\(258\) | −4909.99 | − | 4188.49i | −0.0737634 | − | 0.0629242i | ||||
\(259\) | −6343.36 | − | 3662.34i | −0.0945626 | − | 0.0545958i | ||||
\(260\) | 920.840 | + | 1656.60i | 0.0136219 | + | 0.0245059i | ||||
\(261\) | −46242.5 | + | 38802.0i | −0.678828 | + | 0.569604i | ||||
\(262\) | 5852.27 | − | 15681.0i | 0.0852554 | − | 0.228439i | ||||
\(263\) | −90070.4 | + | 15881.8i | −1.30218 | + | 0.229609i | −0.781372 | − | 0.624066i | \(-0.785480\pi\) |
−0.520806 | + | 0.853675i | \(0.674369\pi\) | |||||||
\(264\) | 12136.9 | − | 9689.48i | 0.174141 | − | 0.139025i | ||||
\(265\) | 8642.38 | 0.123067 | ||||||||
\(266\) | −7985.37 | + | 2225.79i | −0.112858 | + | 0.0314572i | ||||
\(267\) | − | 10604.0i | − | 0.148746i | ||||||
\(268\) | 36808.8 | + | 106490.i | 0.512486 | + | 1.48265i | ||||
\(269\) | −21020.4 | − | 119213.i | −0.290494 | − | 1.64747i | −0.684972 | − | 0.728569i | \(-0.740186\pi\) |
0.394478 | − | 0.918905i | \(-0.370925\pi\) | |||||||
\(270\) | −1482.60 | + | 3972.57i | −0.0203374 | + | 0.0544934i | ||||
\(271\) | 7598.49 | + | 9055.53i | 0.103464 | + | 0.123303i | 0.815291 | − | 0.579051i | \(-0.196577\pi\) |
−0.711828 | + | 0.702354i | \(0.752132\pi\) | |||||||
\(272\) | 122783. | + | 49269.0i | 1.65959 | + | 0.665941i | ||||
\(273\) | 127.027 | − | 220.017i | 0.00170439 | − | 0.00295210i | ||||
\(274\) | −54125.0 | − | 46171.6i | −0.720936 | − | 0.614998i | ||||
\(275\) | 31984.5 | + | 87876.7i | 0.422936 | + | 1.16201i | ||||
\(276\) | −10277.0 | + | 17149.9i | −0.134911 | + | 0.225135i | ||||
\(277\) | −7983.08 | − | 13827.1i | −0.104042 | − | 0.180207i | 0.809304 | − | 0.587390i | \(-0.199844\pi\) |
−0.913347 | + | 0.407183i | \(0.866511\pi\) | |||||||
\(278\) | −93845.4 | − | 17335.6i | −1.21429 | − | 0.224311i | ||||
\(279\) | −78701.0 | − | 13877.1i | −1.01105 | − | 0.178275i | ||||
\(280\) | −1532.18 | + | 231.774i | −0.0195431 | + | 0.00295631i | ||||
\(281\) | −4098.94 | − | 3439.42i | −0.0519109 | − | 0.0435584i | 0.616463 | − | 0.787384i | \(-0.288565\pi\) |
−0.668374 | + | 0.743825i | \(0.733009\pi\) | |||||||
\(282\) | 7768.06 | + | 13711.0i | 0.0976820 | + | 0.172414i | ||||
\(283\) | 21648.3 | − | 59478.2i | 0.270303 | − | 0.742651i | −0.728063 | − | 0.685510i | \(-0.759579\pi\) |
0.998366 | − | 0.0571412i | \(-0.0181985\pi\) | |||||||
\(284\) | −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 | ||||
\(288\) | 76608.5 | − | 24404.7i | 0.923617 | − | 0.294231i | ||||
\(289\) | 140612. | + | 117987.i | 1.68355 | + | 1.41267i | ||||
\(290\) | −6576.26 | + | 11179.4i | −0.0781957 | + | 0.132930i | ||||
\(291\) | 14125.7 | + | 2490.75i | 0.166811 | + | 0.0294133i | ||||
\(292\) | −1117.58 | − | 7002.36i | −0.0131073 | − | 0.0821257i | ||||
\(293\) | 11190.5 | + | 19382.6i | 0.130352 | + | 0.225775i | 0.923812 | − | 0.382846i | \(-0.125056\pi\) |
−0.793461 | + | 0.608622i | \(0.791723\pi\) | |||||||
\(294\) | −9500.04 | − | 11510.5i | −0.109908 | − | 0.133168i | ||||
\(295\) | −3957.86 | − | 10874.1i | −0.0454795 | − | 0.124954i | ||||
\(296\) | 81632.6 | + | 1992.23i | 0.931709 | + | 0.0227383i | ||||
\(297\) | 19354.4 | − | 33522.7i | 0.219415 | − | 0.380038i | ||||
\(298\) | 8495.55 | + | 50583.0i | 0.0956663 | + | 0.569603i | ||||
\(299\) | 14317.9 | + | 17063.4i | 0.160153 | + | 0.190863i | ||||
\(300\) | 248.996 | − | 15305.8i | 0.00276663 | − | 0.170064i | ||||
\(301\) | −1020.82 | − | 5789.34i | −0.0112672 | − | 0.0638993i | ||||
\(302\) | −737.265 | + | 90645.2i | −0.00808369 | + | 0.993873i | ||||
\(303\) | 17712.5i | 0.192927i | ||||||||
\(304\) | 66280.0 | − | 64402.5i | 0.717192 | − | 0.696876i | ||||
\(305\) | 3961.73 | 0.0425878 | ||||||||
\(306\) | 162304. | + | 1320.10i | 1.73335 | + | 0.0140983i | ||||
\(307\) | 91968.0 | − | 16216.4i | 0.975798 | − | 0.172059i | 0.337059 | − | 0.941483i | \(-0.390568\pi\) |
0.638739 | + | 0.769424i | \(0.279457\pi\) | |||||||
\(308\) | 14144.4 | + | 230.104i | 0.149102 | + | 0.00242562i | ||||
\(309\) | 10065.8 | − | 8446.19i | 0.105422 | − | 0.0884594i | ||||
\(310\) | −16933.6 | + | 2844.04i | −0.176208 | + | 0.0295946i | ||||
\(311\) | −113446. | − | 65498.4i | −1.17293 | − | 0.677189i | −0.218558 | − | 0.975824i | \(-0.570135\pi\) |
−0.954367 | + | 0.298635i | \(0.903469\pi\) | |||||||
\(312\) | −69.0999 | + | 2831.40i | −0.000709853 | + | 0.0290865i | ||||
\(313\) | 42856.2 | − | 15598.4i | 0.437447 | − | 0.159218i | −0.113903 | − | 0.993492i | \(-0.536335\pi\) |
0.551350 | + | 0.834274i | \(0.314113\pi\) | |||||||
\(314\) | 67256.0 | − | 55508.6i | 0.682137 | − | 0.562990i | ||||
\(315\) | −1646.41 | + | 950.557i | −0.0165927 | + | 0.00957982i | ||||
\(316\) | −85237.4 | + | 13604.0i | −0.853604 | + | 0.136236i | ||||
\(317\) | −25088.5 | + | 142284.i | −0.249664 | + | 1.41592i | 0.559742 | + | 0.828667i | \(0.310900\pi\) |
−0.809406 | + | 0.587249i | \(0.800211\pi\) | |||||||
\(318\) | 11131.4 | + | 6548.02i | 0.110077 | + | 0.0647524i | ||||
\(319\) | 76109.1 | − | 90703.3i | 0.747920 | − | 0.891336i | ||||
\(320\) | 13759.6 | − | 10445.6i | 0.134371 | − | 0.102008i | ||||
\(321\) | 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 | ||||
\(326\) | −88882.6 | + | 50357.0i | −0.836337 | + | 0.473832i | ||||
\(327\) | 12109.9 | − | 14432.0i | 0.113251 | − | 0.134968i | ||||
\(328\) | 5044.45 | + | 33347.0i | 0.0468884 | + | 0.309963i | ||||
\(329\) | −2492.59 | + | 14136.2i | −0.0230282 | + | 0.130599i | ||||
\(330\) | 743.649 | − | 4025.70i | 0.00682874 | − | 0.0369670i | ||||
\(331\) | 53250.5 | − | 30744.2i | 0.486035 | − | 0.280613i | −0.236893 | − | 0.971536i | \(-0.576129\pi\) |
0.722928 | + | 0.690923i | \(0.242796\pi\) | |||||||
\(332\) | 90023.5 | + | 53946.3i | 0.816732 | + | 0.489424i | ||||
\(333\) | 94138.0 | − | 34263.4i | 0.848939 | − | 0.308988i | ||||
\(334\) | −16488.8 | + | 19329.2i | −0.147808 | + | 0.173269i | ||||
\(335\) | 25721.3 | + | 14850.2i | 0.229194 | + | 0.132325i | ||||
\(336\) | −2149.06 | − | 862.350i | −0.0190358 | − | 0.00763845i | ||||
\(337\) | −87499.2 | + | 73420.5i | −0.770449 | + | 0.646484i | −0.940824 | − | 0.338895i | \(-0.889947\pi\) |
0.170375 | + | 0.985379i | \(0.445502\pi\) | |||||||
\(338\) | −104077. | − | 38842.3i | −0.911003 | − | 0.339994i | ||||
\(339\) | −2032.51 | + | 358.387i | −0.0176862 | + | 0.00311855i | ||||
\(340\) | 32960.8 | − | 11393.1i | 0.285128 | − | 0.0985559i | ||||
\(341\) | 156751. | 1.34804 | ||||||||
\(342\) | 46882.7 | − | 103232.i | 0.400830 | − | 0.882596i | ||||
\(343\) | − | 27378.3i | − | 0.232712i | ||||||
\(344\) | 40888.5 | + | 51216.6i | 0.345529 | + | 0.432806i | ||||
\(345\) | 915.174 | + | 5190.21i | 0.00768892 | + | 0.0436060i | ||||
\(346\) | −120374. | − | 44924.7i | −1.00550 | − | 0.375261i | ||||
\(347\) | 24050.9 | + | 28662.8i | 0.199744 | + | 0.238045i | 0.856613 | − | 0.515959i | \(-0.172564\pi\) |
−0.656870 | + | 0.754004i | \(0.728120\pi\) | |||||||
\(348\) | −16940.5 | + | 9416.58i | −0.139884 | + | 0.0777562i | ||||
\(349\) | −116402. | + | 201613.i | −0.955670 | + | 1.65527i | −0.222842 | + | 0.974855i | \(0.571533\pi\) |
−0.732828 | + | 0.680414i | \(0.761800\pi\) | |||||||
\(350\) | 9049.36 | − | 10608.2i | 0.0738723 | − | 0.0865974i | ||||
\(351\) | 2414.40 | + | 6633.52i | 0.0195973 | + | 0.0538431i | ||||
\(352\) | −139670. | + | 73235.1i | −1.12725 | + | 0.591063i | ||||
\(353\) | −121818. | − | 210995.i | −0.977602 | − | 1.69326i | −0.671065 | − | 0.741398i | \(-0.734163\pi\) |
−0.306537 | − | 0.951859i | \(-0.599170\pi\) | |||||||
\(354\) | 3141.19 | − | 17004.7i | 0.0250662 | − | 0.135694i | ||||
\(355\) | −37535.6 | − | 6618.54i | −0.297842 | − | 0.0525176i | ||||
\(356\) | −20420.9 | + | 105726.i | −0.161130 | + | 0.834224i | ||||
\(357\) | −3580.96 | − | 3004.79i | −0.0280972 | − | 0.0235764i | ||||
\(358\) | −110596. | + | 62659.1i | −0.862929 | + | 0.488898i | ||||
\(359\) | −17951.3 | + | 49320.8i | −0.139286 | + | 0.382685i | −0.989649 | − | 0.143512i | \(-0.954160\pi\) |
0.850363 | + | 0.526197i | \(0.176383\pi\) | |||||||
\(360\) | 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 | ||||
\(364\) | −1690.22 | + | 1949.04i | −0.0127567 | + | 0.0147102i | ||||
\(365\) | −1431.88 | − | 1201.49i | −0.0107479 | − | 0.00901852i | ||||
\(366\) | 5102.74 | + | 3001.66i | 0.0380926 | + | 0.0224078i | ||||
\(367\) | 39593.6 | + | 6981.42i | 0.293963 | + | 0.0518337i | 0.318685 | − | 0.947861i | \(-0.396759\pi\) |
−0.0247216 | + | 0.999694i | \(0.507870\pi\) | |||||||
\(368\) | 135493. | − | 151200.i | 1.00051 | − | 1.11650i | ||||
\(369\) | 20688.4 | + | 35833.3i | 0.151941 | + | 0.263169i | ||||
\(370\) | 16601.0 | − | 13701.3i | 0.121264 | − | 0.100083i | ||||
\(371\) | 4023.40 | + | 11054.2i | 0.0292311 | + | 0.0803118i | ||||
\(372\) | −23965.4 | − | 9166.84i | −0.173180 | − | 0.0662421i | ||||
\(373\) | −37266.6 | + | 64547.6i | −0.267856 | + | 0.463941i | −0.968308 | − | 0.249759i | \(-0.919649\pi\) |
0.700452 | + | 0.713700i | \(0.252982\pi\) | |||||||
\(374\) | −313968. | + | 52731.7i | −2.24462 | + | 0.376989i | ||||
\(375\) | −5263.48 | − | 6272.77i | −0.0374292 | − | 0.0446063i | ||||
\(376\) | −51046.5 | − | 151664.i | −0.361069 | − | 1.07277i | ||||
\(377\) | 3749.63 | + | 21265.2i | 0.0263819 | + | 0.149619i | ||||
\(378\) | −5771.41 | − | 46.9419i | −0.0403923 | − | 0.000328532i | ||||
\(379\) | − | 10968.1i | − | 0.0763574i | −0.999271 | − | 0.0381787i | \(-0.987844\pi\) | ||
0.999271 | − | 0.0381787i | \(-0.0121556\pi\) | |||||||
\(380\) | 2077.07 | − | 24272.2i | 0.0143841 | − | 0.168090i | ||||
\(381\) | 7449.36 | 0.0513179 | ||||||||
\(382\) | −2267.58 | + | 278794.i | −0.0155395 | + | 1.91055i | ||||
\(383\) | 15887.5 | − | 2801.39i | 0.108307 | − | 0.0190975i | −0.119232 | − | 0.992866i | \(-0.538043\pi\) |
0.227539 | + | 0.973769i | \(0.426932\pi\) | |||||||
\(384\) | 25636.7 | − | 3028.84i | 0.173860 | − | 0.0205407i | ||||
\(385\) | 2856.57 | − | 2396.94i | 0.0192718 | − | 0.0161710i | ||||
\(386\) | −23612.6 | − | 140591.i | −0.158478 | − | 0.943588i | ||||
\(387\) | 69630.4 | + | 40201.1i | 0.464918 | + | 0.268421i | ||||
\(388\) | −136043. | − | 52036.8i | −0.903675 | − | 0.345658i | ||||
\(389\) | −15108.0 | + | 5498.88i | −0.0998410 | + | 0.0363392i | −0.391458 | − | 0.920196i | \(-0.628029\pi\) |
0.291617 | + | 0.956535i | \(0.405807\pi\) | |||||||
\(390\) | 475.226 | + | 575.799i | 0.00312443 | + | 0.00378566i | ||||
\(391\) | 354946. | − | 204928.i | 2.32171 | − | 1.34044i | ||||
\(392\) | 72552.6 | + | 133060.i | 0.472151 | + | 0.865915i | ||||
\(393\) | 1144.86 | − | 6492.82i | 0.00741254 | − | 0.0420386i | ||||
\(394\) | 101406. | − | 172387.i | 0.653239 | − | 1.11049i | ||||
\(395\) | −14625.4 | + | 17429.8i | −0.0937374 | + | 0.111712i | ||||
\(396\) | −126760. | + | 146171.i | −0.808338 | + | 0.932118i | ||||
\(397\) | 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 | \(0.568827\pi\) | |||||||
\(402\) | 21877.8 | + | 38615.3i | 0.135379 | + | 0.238950i | ||||
\(403\) | −18375.0 | + | 21898.5i | −0.113140 | + | 0.134835i | ||||
\(404\) | 34110.3 | − | 176601.i | 0.208989 | − | 1.08201i | ||||
\(405\) | 4367.84 | − | 24771.3i | 0.0266291 | − | 0.151021i | ||||
\(406\) | −17360.8 | − | 3206.98i | −0.105322 | − | 0.0194556i | ||||
\(407\) | −170173. | + | 98249.7i | −1.02731 | + | 0.593120i | ||||
\(408\) | 51085.8 | + | 10298.9i | 0.306888 | + | 0.0618684i | ||||
\(409\) | 6658.92 | − | 2423.65i | 0.0398068 | − | 0.0144885i | −0.322040 | − | 0.946726i | \(-0.604369\pi\) |
0.361847 | + | 0.932238i | \(0.382146\pi\) | |||||||
\(410\) | 6763.68 | + | 5769.79i | 0.0402360 | + | 0.0343235i | ||||
\(411\) | −24269.2 | − | 14011.8i | −0.143672 | − | 0.0829491i | ||||
\(412\) | −116626. | + | 64827.6i | −0.687067 | + | 0.381914i | ||||
\(413\) | 12066.2 | − | 10124.7i | 0.0707409 | − | 0.0593587i | ||||
\(414\) | 87091.3 | − | 233358.i | 0.508129 | − | 1.36152i | ||||
\(415\) | 27244.5 | − | 4803.95i | 0.158192 | − | 0.0278934i | ||||
\(416\) | 6141.60 | − | 28097.2i | 0.0354891 | − | 0.162359i | ||||
\(417\) | −37591.7 | −0.216182 | ||||||||
\(418\) | −55400.5 | + | 215379.i | −0.317074 | + | 1.23268i | ||||
\(419\) | 177140.i | 1.00899i | 0.863414 | + | 0.504496i | \(0.168322\pi\) | ||||
−0.863414 | + | 0.504496i | \(0.831678\pi\) | |||||||
\(420\) | −576.909 | + | 199.412i | −0.00327046 | + | 0.00113045i | ||||
\(421\) | −42942.1 | − | 243537.i | −0.242281 | − | 1.37404i | −0.826724 | − | 0.562608i | \(-0.809798\pi\) |
0.584443 | − | 0.811434i | \(-0.301313\pi\) | |||||||
\(422\) | 46879.8 | − | 125613.i | 0.263245 | − | 0.705358i | ||||
\(423\) | −126194. | − | 150392.i | −0.705275 | − | 0.840515i | ||||
\(424\) | −98375.1 | − | 86723.2i | −0.547209 | − | 0.482396i | ||||
\(425\) | −156902. | + | 271762.i | −0.868661 | + | 1.50456i | ||||
\(426\) | −43331.4 | − | 36964.1i | −0.238772 | − | 0.203686i | ||||
\(427\) | 1844.36 | + | 5067.33i | 0.0101155 | + | 0.0277922i | ||||
\(428\) | −118826. | − | 71206.0i | −0.648670 | − | 0.388713i | ||||
\(429\) | −3407.75 | − | 5902.40i | −0.0185163 | − | 0.0320711i | ||||
\(430\) | 16988.0 | + | 3138.12i | 0.0918768 | + | 0.0169720i | ||||
\(431\) | −223796. | − | 39461.3i | −1.20475 | − | 0.212430i | −0.465001 | − | 0.885310i | \(-0.653946\pi\) |
−0.739752 | + | 0.672880i | \(0.765057\pi\) | |||||||
\(432\) | 56739.6 | − | 30341.9i | 0.304032 | − | 0.162583i | ||||
\(433\) | 113018. | + | 94833.3i | 0.602798 | + | 0.505807i | 0.892344 | − | 0.451357i | \(-0.149060\pi\) |
−0.289546 | + | 0.957164i | \(0.593504\pi\) | |||||||
\(434\) | −11521.0 | − | 20335.2i | −0.0611663 | − | 0.107962i | ||||
\(435\) | −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 | \(0.243225\pi\) |
−0.997824 | + | 0.0659348i | \(0.978997\pi\) | |||||||
\(440\) | −15167.1 | + | 38705.8i | −0.0783425 | + | 0.199927i | ||||
\(441\) | 142433. | + | 119515.i | 0.732373 | + | 0.614534i | ||||
\(442\) | 29437.9 | − | 50043.5i | 0.150682 | − | 0.256155i | ||||
\(443\) | 131544. | + | 23194.8i | 0.670291 | + | 0.118190i | 0.498429 | − | 0.866931i | \(-0.333910\pi\) |
0.171862 | + | 0.985121i | \(0.445022\pi\) | |||||||
\(444\) | 31763.2 | − | 5069.44i | 0.161123 | − | 0.0257154i | ||||
\(445\) | 14192.3 | + | 24581.8i | 0.0716693 | + | 0.124135i | ||||
\(446\) | 244582. | + | 296344.i | 1.22958 | + | 1.48979i | ||||
\(447\) | 6910.18 | + | 18985.6i | 0.0345840 | + | 0.0950186i | ||||
\(448\) | 19766.4 | + | 12736.6i | 0.0984851 | + | 0.0634597i | ||||
\(449\) | 161167. | − | 279149.i | 0.799433 | − | 1.38466i | −0.120552 | − | 0.992707i | \(-0.538466\pi\) |
0.919986 | − | 0.391952i | \(-0.128200\pi\) | |||||||
\(450\) | 31587.3 | + | 188073.i | 0.155987 | + | 0.928754i | ||||
\(451\) | −52168.2 | − | 62171.6i | −0.256480 | − | 0.305660i | ||||
\(452\) | 20955.2 | + | 340.901i | 0.102569 | + | 0.00166860i | ||||
\(453\) | 6200.44 | + | 35164.4i | 0.0302152 | + | 0.171359i | ||||
\(454\) | 1676.92 | − | 206173.i | 0.00813579 | − | 1.00028i | ||||
\(455\) | 680.048i | 0.00328486i | ||||||||
\(456\) | 21065.5 | − | 29689.1i | 0.101308 | − | 0.142780i | ||||
\(457\) | −148549. | −0.711275 | −0.355637 | − | 0.934624i | \(-0.615736\pi\) | ||||
−0.355637 | + | 0.934624i | \(0.615736\pi\) | |||||||
\(458\) | 164692. | + | 1339.53i | 0.785131 | + | 0.00638588i | ||||
\(459\) | 127918. | − | 22555.3i | 0.607162 | − | 0.107059i | ||||
\(460\) | 870.524 | − | 53511.0i | 0.00411401 | − | 0.252888i | ||||
\(461\) | −207797. | + | 174362.i | −0.977771 | + | 0.820447i | −0.983752 | − | 0.179535i | \(-0.942541\pi\) |
0.00598061 | + | 0.999982i | \(0.498096\pi\) | |||||||
\(462\) | 5495.35 | − | 922.959i | 0.0257461 | − | 0.00432413i | ||||
\(463\) | −217643. | − | 125656.i | −1.01527 | − | 0.586167i | −0.102541 | − | 0.994729i | \(-0.532697\pi\) |
−0.912731 | + | 0.408562i | \(0.866031\pi\) | |||||||
\(464\) | 187039. | − | 61263.6i | 0.868750 | − | 0.284555i | ||||
\(465\) | −6355.77 | + | 2313.31i | −0.0293943 | + | 0.0106986i | ||||
\(466\) | −53589.1 | + | 44228.8i | −0.246777 | + | 0.203673i | ||||
\(467\) | −77403.5 | + | 44689.0i | −0.354917 | + | 0.204912i | −0.666849 | − | 0.745193i | \(-0.732357\pi\) |
0.311932 | + | 0.950105i | \(0.399024\pi\) | |||||||
\(468\) | −5561.05 | − | 34843.5i | −0.0253902 | − | 0.159085i | ||||
\(469\) | −7020.07 | + | 39812.8i | −0.0319151 | + | 0.180999i | ||||
\(470\) | −36358.4 | − | 21387.7i | −0.164592 | − | 0.0968208i | ||||
\(471\) | 22079.9 | − | 26313.8i | 0.0995304 | − | 0.118616i | ||||
\(472\) | −64066.2 | + | 163494.i | −0.287571 | + | 0.733870i | ||||
\(473\) | −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 | ||||
\(478\) | 207103. | − | 117336.i | 0.906424 | − | 0.513540i | ||||
\(479\) | −104854. | + | 124960.i | −0.456999 | + | 0.544630i | −0.944508 | − | 0.328488i | \(-0.893461\pi\) |
0.487510 | + | 0.873118i | \(0.337905\pi\) | |||||||
\(480\) | 4582.40 | − | 5030.69i | 0.0198889 | − | 0.0218346i | ||||
\(481\) | 6222.73 | − | 35290.8i | 0.0268962 | − | 0.152536i | ||||
\(482\) | 20954.0 | − | 113433.i | 0.0901931 | − | 0.488255i | ||||
\(483\) | −6212.58 | + | 3586.84i | −0.0266304 | + | 0.0153751i | ||||
\(484\) | 74660.3 | − | 124590.i | 0.318712 | − | 0.531855i | ||||
\(485\) | −36079.4 | + | 13131.8i | −0.153382 | + | 0.0558267i | ||||
\(486\) | 77244.5 | − | 90550.5i | 0.327036 | − | 0.383370i | ||||
\(487\) | 56553.1 | + | 32651.0i | 0.238451 | + | 0.137670i | 0.614464 | − | 0.788944i | \(-0.289372\pi\) |
−0.376014 | + | 0.926614i | \(0.622705\pi\) | |||||||
\(488\) | −45095.9 | − | 39754.6i | −0.189364 | − | 0.166935i | ||||
\(489\) | −30825.7 | + | 25865.8i | −0.128912 | + | 0.108170i | ||||
\(490\) | 37428.3 | + | 13968.6i | 0.155886 | + | 0.0581781i | ||||
\(491\) | −120513. | + | 21249.6i | −0.499885 | + | 0.0881432i | −0.417905 | − | 0.908491i | \(-0.637235\pi\) |
−0.0819799 | + | 0.996634i | \(0.526124\pi\) | |||||||
\(492\) | 4340.09 | + | 12556.1i | 0.0179295 | + | 0.0518711i | ||||
\(493\) | 397319. | 1.63473 | ||||||||
\(494\) | −23594.6 | − | 32987.2i | −0.0966851 | − | 0.135173i | ||||
\(495\) | 51001.3i | 0.208147i | ||||||||
\(496\) | 221292. | + | 137549.i | 0.899502 | + | 0.559107i | ||||
\(497\) | −9008.87 | − | 51091.8i | −0.0364718 | − | 0.206842i | ||||
\(498\) | 38730.9 | + | 14454.7i | 0.156170 | + | 0.0582842i | ||||
\(499\) | −81368.0 | − | 96970.6i | −0.326778 | − | 0.389439i | 0.577495 | − | 0.816394i | \(-0.304030\pi\) |
−0.904272 | + | 0.426956i | \(0.859586\pi\) | |||||||
\(500\) | 40399.1 | + | 72678.4i | 0.161596 | + | 0.290714i | ||||
\(501\) | −5003.92 | + | 8667.05i | −0.0199359 | + | 0.0345299i | ||||
\(502\) | 263315. | − | 308673.i | 1.04489 | − | 1.22487i | ||||
\(503\) | −46235.0 | − | 127030.i | −0.182740 | − | 0.502075i | 0.814170 | − | 0.580627i | \(-0.197193\pi\) |
−0.996910 | + | 0.0785520i | \(0.974970\pi\) | |||||||
\(504\) | 28279.4 | + | 5701.11i | 0.111329 | + | 0.0224439i | ||||
\(505\) | −23706.3 | − | 41060.5i | −0.0929567 | − | 0.161006i | ||||
\(506\) | −88748.7 | + | 480436.i | −0.346626 | + | 1.87644i | ||||
\(507\) | −43093.7 | − | 7598.58i | −0.167648 | − | 0.0295608i | ||||
\(508\) | −74273.3 | − | 14345.8i | −0.287810 | − | 0.0555902i | ||||
\(509\) | −71871.1 | − | 60307.0i | −0.277408 | − | 0.232773i | 0.493459 | − | 0.869769i | \(-0.335732\pi\) |
−0.770867 | + | 0.636996i | \(0.780177\pi\) | |||||||
\(510\) | 11952.2 | − | 6771.61i | 0.0459524 | − | 0.0260346i | ||||
\(511\) | 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 | ||||
\(516\) | 19503.0 | + | 16913.1i | 0.0732492 | + | 0.0635221i | ||||
\(517\) | 294990. | + | 247526.i | 1.10364 | + | 0.926063i | ||||
\(518\) | 25253.4 | + | 14855.2i | 0.0941155 | + | 0.0553631i | ||||
\(519\) | −49841.8 | − | 8788.46i | −0.185037 | − | 0.0326271i | ||||
\(520\) | −3629.34 | − | 6656.14i | −0.0134221 | − | 0.0246159i | ||||
\(521\) | 144668. | + | 250572.i | 0.532962 | + | 0.923118i | 0.999259 | + | 0.0384893i | \(0.0122546\pi\) |
−0.466297 | + | 0.884628i | \(0.654412\pi\) | |||||||
\(522\) | 186226. | − | 153699.i | 0.683438 | − | 0.564065i | ||||
\(523\) | −143550. | − | 394400.i | −0.524807 | − | 1.44190i | −0.865111 | − | 0.501580i | \(-0.832752\pi\) |
0.340304 | − | 0.940315i | \(-0.389470\pi\) | |||||||
\(524\) | −23918.5 | + | 62531.4i | −0.0871105 | + | 0.227738i | ||||
\(525\) | 2746.24 | − | 4756.62i | 0.00996368 | − | 0.0172576i | ||||
\(526\) | 360786. | − | 60595.0i | 1.30400 | − | 0.219011i | ||||
\(527\) | 338102. | + | 402935.i | 1.21738 | + | 1.45082i | ||||
\(528\) | −48861.4 | + | 38361.8i | −0.175266 | + | 0.137604i | ||||
\(529\) | −60624.9 | − | 343821.i | −0.216641 | − | 1.22863i | ||||
\(530\) | −34568.4 | − | 281.163i | −0.123063 | − | 0.00100094i | ||||
\(531\) | 215431.i | 0.764044i | ||||||||
\(532\) | 32012.8 | − | 8643.06i | 0.113110 | − | 0.0305382i | ||||
\(533\) | 14800.9 | 0.0520995 | ||||||||
\(534\) | −344.980 | + | 42414.5i | −0.00120979 | + | 0.148741i | ||||
\(535\) | −35961.3 | + | 6340.94i | −0.125640 | + | 0.0221537i | ||||
\(536\) | −143766. | − | 427143.i | −0.500410 | − | 1.48677i | ||||
\(537\) | −38356.3 | + | 32184.8i | −0.133011 | + | 0.111610i | ||||
\(538\) | 80200.7 | + | 477520.i | 0.277085 | + | 1.64978i | ||||
\(539\) | −315841. | − | 182351.i | −1.08715 | − | 0.627668i | ||||
\(540\) | 6059.44 | − | 15841.5i | 0.0207800 | − | 0.0543262i | ||||
\(541\) | −402895. | + | 146642.i | −1.37657 | + | 0.501029i | −0.921135 | − | 0.389242i | \(-0.872737\pi\) |
−0.455430 | + | 0.890271i | \(0.650515\pi\) | |||||||
\(542\) | −30098.4 | − | 36468.1i | −0.102458 | − | 0.124141i | ||||
\(543\) | −54380.0 | + | 31396.3i | −0.184434 | + | 0.106483i | ||||
\(544\) | −489513. | − | 201064.i | −1.65412 | − | 0.679417i | ||||
\(545\) | −8757.02 | + | 49663.5i | −0.0294824 | + | 0.167203i | ||||
\(546\) | −515.248 | + | 875.906i | −0.00172835 | + | 0.00293814i | ||||
\(547\) | −139632. | + | 166406.i | −0.466669 | + | 0.556154i | −0.947125 | − | 0.320864i | \(-0.896027\pi\) |
0.480456 | + | 0.877019i | \(0.340471\pi\) | |||||||
\(548\) | 214991. | + | 186441.i | 0.715910 | + | 0.620841i | ||||
\(549\) | −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 | ||||
\(554\) | 31481.4 | + | 55566.3i | 0.102573 | + | 0.181047i | ||||
\(555\) | 5450.05 | − | 6495.12i | 0.0176935 | − | 0.0210863i | ||||
\(556\) | 374805. | + | 72393.3i | 1.21243 | + | 0.234179i | ||||
\(557\) | 61531.4 | − | 348962.i | 0.198329 | − | 1.12478i | −0.709268 | − | 0.704939i | \(-0.750975\pi\) |
0.907597 | − | 0.419842i | \(-0.137914\pi\) | |||||||
\(558\) | 314342. | + | 58067.0i | 1.00956 | + | 0.186492i | ||||
\(559\) | 24907.5 | − | 14380.3i | 0.0797088 | − | 0.0460199i | ||||
\(560\) | 6136.05 | − | 877.220i | 0.0195665 | − | 0.00279726i | ||||
\(561\) | −117843. | + | 42891.4i | −0.374437 | + | 0.136284i | ||||
\(562\) | 16283.3 | + | 13890.6i | 0.0515549 | + | 0.0439792i | ||||
\(563\) | −159662. | − | 92180.6i | −0.503713 | − | 0.290819i | 0.226532 | − | 0.974004i | \(-0.427261\pi\) |
−0.730246 | + | 0.683185i | \(0.760594\pi\) | |||||||
\(564\) | −30625.2 | − | 55095.0i | −0.0962765 | − | 0.173202i | ||||
\(565\) | 4232.04 | − | 3551.10i | 0.0132572 | − | 0.0111241i | ||||
\(566\) | −88525.3 | + | 237201.i | −0.276334 | + | 0.740428i | ||||
\(567\) | 33717.6 | − | 5945.32i | 0.104879 | − | 0.0184931i | ||||
\(568\) | 360848. | + | 451994.i | 1.11848 | + | 1.40099i | ||||
\(569\) | 417016. | 1.28804 | 0.644018 | − | 0.765010i | \(-0.277266\pi\) | ||||
0.644018 | + | 0.765010i | \(0.277266\pi\) | |||||||
\(570\) | −932.214 | − | 9550.54i | −0.00286923 | − | 0.0293953i | ||||
\(571\) | − | 36299.2i | − | 0.111333i | −0.998449 | − | 0.0556666i | \(-0.982272\pi\) | ||
0.998449 | − | 0.0556666i | \(-0.0177284\pi\) | |||||||
\(572\) | 22610.0 | + | 65412.0i | 0.0691049 | + | 0.199924i | ||||
\(573\) | 19070.5 | + | 108154.i | 0.0580834 | + | 0.329407i | ||||
\(574\) | −4231.18 | + | 11337.3i | −0.0128421 | + | 0.0344101i | ||||
\(575\) | 309543. | + | 368899.i | 0.936236 | + | 1.11576i | ||||
\(576\) | −307218. | + | 95123.1i | −0.925980 | + | 0.286709i | ||||
\(577\) | −82919.6 | + | 143621.i | −0.249061 | + | 0.431386i | −0.963266 | − | 0.268551i | \(-0.913455\pi\) |
0.714205 | + | 0.699937i | \(0.246789\pi\) | |||||||
\(578\) | −558590. | − | 476508.i | −1.67200 | − | 1.42631i | ||||
\(579\) | −19206.2 | − | 52768.7i | −0.0572908 | − | 0.157405i | ||||
\(580\) | 26667.9 | − | 44502.3i | 0.0792743 | − | 0.132290i | ||||
\(581\) | 18828.1 | + | 32611.2i | 0.0557768 | + | 0.0966083i | ||||
\(582\) | −56420.0 | − | 10422.2i | −0.166566 | − | 0.0307690i | ||||
\(583\) | 310789. | + | 54800.5i | 0.914384 | + | 0.161231i | ||||
\(584\) | 4242.38 | + | 28044.9i | 0.0124390 | + | 0.0822296i | ||||
\(585\) | −7124.99 | − | 5978.58i | −0.0208196 | − | 0.0174697i | ||||
\(586\) | −44130.1 | − | 77891.9i | −0.128511 | − | 0.226828i | ||||
\(587\) | 100608. | − | 276418.i | 0.291982 | − | 0.802215i | −0.703794 | − | 0.710404i | \(-0.748512\pi\) |
0.995776 | − | 0.0918108i | \(-0.0292655\pi\) | |||||||
\(588\) | 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 | ||||
\(592\) | −326455. | − | 10624.4i | −0.931493 | − | 0.0303153i | ||||
\(593\) | 178497. | + | 149777.i | 0.507599 | + | 0.425926i | 0.860283 | − | 0.509816i | \(-0.170287\pi\) |
−0.352684 | + | 0.935742i | \(0.614731\pi\) | |||||||
\(594\) | −78505.5 | + | 133457.i | −0.222499 | + | 0.378240i | ||||
\(595\) | 12322.9 | + | 2172.85i | 0.0348079 | + | 0.00613757i | ||||
\(596\) | −32335.4 | − | 202602.i | −0.0910304 | − | 0.570362i | ||||
\(597\) | 14140.5 | + | 24492.1i | 0.0396749 | + | 0.0687190i | ||||
\(598\) | −56714.5 | − | 68717.0i | −0.158596 | − | 0.192160i | ||||
\(599\) | 85734.3 | + | 235553.i | 0.238947 | + | 0.656500i | 0.999970 | + | 0.00777574i | \(0.00247512\pi\) |
−0.761023 | + | 0.648725i | \(0.775303\pi\) | |||||||
\(600\) | −1493.90 | + | 61213.0i | −0.00414971 | + | 0.170036i | ||||
\(601\) | 153194. | − | 265339.i | 0.424123 | − | 0.734603i | −0.572215 | − | 0.820104i | \(-0.693916\pi\) |
0.996338 | + | 0.0855010i | \(0.0272491\pi\) | |||||||
\(602\) | 3894.79 | + | 23189.8i | 0.0107471 | + | 0.0639888i | ||||
\(603\) | −355410. | − | 423561.i | −0.977451 | − | 1.16488i | ||||
\(604\) | 5897.93 | − | 362545.i | 0.0161669 | − | 0.993775i | ||||
\(605\) | −6648.54 | − | 37705.7i | −0.0181642 | − | 0.103014i | ||||
\(606\) | 576.240 | − | 70847.5i | 0.00156913 | − | 0.192921i | ||||
\(607\) | 414698.i | 1.12552i | 0.826619 | + | 0.562762i | \(0.190261\pi\) | ||||
−0.826619 | + | 0.562762i | \(0.809739\pi\) | |||||||
\(608\) | −267206. | + | 255445.i | −0.722836 | + | 0.691020i | ||||
\(609\) | −6954.23 | −0.0187506 | ||||||||
\(610\) | −15846.4 | − | 128.887i | −0.0425864 | − | 0.000346378i | ||||
\(611\) | −69160.0 | + | 12194.8i | −0.185256 | + | 0.0326656i | ||||
\(612\) | −649152. | − | 10560.5i | −1.73318 | − | 0.0281956i | ||||
\(613\) | −140365. | + | 117781.i | −0.373542 | + | 0.313439i | −0.810161 | − | 0.586208i | \(-0.800620\pi\) |
0.436619 | + | 0.899646i | \(0.356176\pi\) | |||||||
\(614\) | −368387. | + | 61871.6i | −0.977165 | + | 0.164117i | ||||
\(615\) | 3032.78 | + | 1750.98i | 0.00801845 | + | 0.00462946i | ||||
\(616\) | −56568.4 | − | 1380.55i | −0.149078 | − | 0.00363822i | ||||
\(617\) | −446204. | + | 162405.i | −1.17210 | + | 0.426608i | −0.853404 | − | 0.521250i | \(-0.825466\pi\) |
−0.318692 | + | 0.947858i | \(0.603244\pi\) | |||||||
\(618\) | −40536.6 | + | 33456.2i | −0.106138 | + | 0.0875990i | ||||
\(619\) | −344606. | + | 198958.i | −0.899377 | + | 0.519256i | −0.876998 | − | 0.480494i | \(-0.840457\pi\) |
−0.0223790 | + | 0.999750i | \(0.507124\pi\) | |||||||
\(620\) | 67824.7 | − | 10824.9i | 0.176443 | − | 0.0281605i | ||||
\(621\) | 34613.4 | − | 196303.i | 0.0897556 | − | 0.509029i | ||||
\(622\) | 451640. | + | 265676.i | 1.16738 | + | 0.686706i | ||||
\(623\) | −24834.7 | + | 29596.8i | −0.0639857 | + | 0.0762552i | ||||
\(624\) | 368.504 | − | 11323.0i | 0.000946398 | − | 0.0290798i | ||||
\(625\) | −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 | ||||
\(630\) | 6616.36 | − | 3748.54i | 0.0166701 | − | 0.00944455i | ||||
\(631\) | −48853.6 | + | 58221.5i | −0.122698 | + | 0.146226i | −0.823897 | − | 0.566740i | \(-0.808204\pi\) |
0.701198 | + | 0.712966i | \(0.252649\pi\) | |||||||
\(632\) | 341381. | − | 51641.1i | 0.854683 | − | 0.129289i | ||||
\(633\) | 9170.93 | − | 52010.9i | 0.0228879 | − | 0.129804i | ||||
\(634\) | 104980. | − | 568301.i | 0.261172 | − | 1.41384i | ||||
\(635\) | −17268.9 | + | 9970.19i | −0.0428269 | + | 0.0247261i | ||||
\(636\) | −44311.2 | − | 26553.4i | −0.109547 | − | 0.0656456i | ||||
\(637\) | 62499.0 | − | 22747.8i | 0.154026 | − | 0.0560609i | ||||
\(638\) | −307377. | + | 360325.i | −0.755145 | + | 0.885224i | ||||
\(639\) | 614499. | + | 354781.i | 1.50494 | + | 0.868878i | ||||
\(640\) | −55376.5 | + | 41333.4i | −0.135196 | + | 0.100912i | ||||
\(641\) | −131293. | + | 110168.i | −0.319541 | + | 0.268127i | −0.788422 | − | 0.615134i | \(-0.789102\pi\) |
0.468881 | + | 0.883261i | \(0.344657\pi\) | |||||||
\(642\) | −51122.6 | − | 19079.4i | −0.124035 | − | 0.0462908i | ||||
\(643\) | 116227. | − | 20494.0i | 0.281116 | − | 0.0495684i | −0.0313123 | − | 0.999510i | \(-0.509969\pi\) |
0.312428 | + | 0.949941i | \(0.398858\pi\) | |||||||
\(644\) | 68849.5 | − | 23798.2i | 0.166008 | − | 0.0573816i | ||||
\(645\) | 6804.90 | 0.0163570 | ||||||||
\(646\) | −673135. | + | 322150.i | −1.61301 | + | 0.771956i | ||||
\(647\) | − | 778705.i | − | 1.86022i | −0.367280 | − | 0.930110i | \(-0.619711\pi\) | ||
0.367280 | − | 0.930110i | \(-0.380289\pi\) | |||||||
\(648\) | −298290. | + | 238138.i | −0.710376 | + | 0.567126i | ||||
\(649\) | −73376.9 | − | 416141.i | −0.174209 | − | 0.987987i | ||||
\(650\) | 63911.8 | + | 23852.5i | 0.151271 | + | 0.0564555i | ||||
\(651\) | −5917.77 | − | 7052.53i | −0.0139636 | − | 0.0166411i | ||||
\(652\) | 357157. | − | 198530.i | 0.840163 | − | 0.467014i | ||||
\(653\) | −318195. | + | 551130.i | −0.746220 | + | 1.29249i | 0.203403 | + | 0.979095i | \(0.434800\pi\) |
−0.949623 | + | 0.313396i | \(0.898533\pi\) | |||||||
\(654\) | −48907.4 | + | 57332.0i | −0.114345 | + | 0.134042i | ||||
\(655\) | 6035.98 | + | 16583.7i | 0.0140691 | + | 0.0386544i | ||||
\(656\) | −19092.2 | − | 133548.i | −0.0443659 | − | 0.310334i | ||||
\(657\) | 17398.9 | + | 30135.8i | 0.0403081 | + | 0.0698156i | ||||
\(658\) | 10429.9 | − | 56461.9i | 0.0240896 | − | 0.130408i | ||||
\(659\) | 637953. | + | 112488.i | 1.46899 | + | 0.259022i | 0.850168 | − | 0.526511i | \(-0.176500\pi\) |
0.618819 | + | 0.785533i | \(0.287611\pi\) | |||||||
\(660\) | −3105.47 | + | 16078.1i | −0.00712917 | + | 0.0369102i | ||||
\(661\) | 333913. | + | 280186.i | 0.764241 | + | 0.641275i | 0.939227 | − | 0.343296i | \(-0.111544\pi\) |
−0.174986 | + | 0.984571i | \(0.555988\pi\) | |||||||
\(662\) | −213995. | + | 121240.i | −0.488302 | + | 0.276650i | ||||
\(663\) | 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 | ||||
\(668\) | 66582.0 | − | 76777.7i | 0.149212 | − | 0.172061i | ||||
\(669\) | 115944. | + | 97288.7i | 0.259058 | + | 0.217375i | ||||
\(670\) | −102399. | − | 60235.7i | −0.228111 | − | 0.134185i | ||||
\(671\) | 142468. | + | 25121.0i | 0.316426 | + | 0.0557945i | ||||
\(672\) | 8567.91 | + | 3519.20i | 0.0189730 | + | 0.00779302i | ||||
\(673\) | 400060. | + | 692924.i | 0.883272 | + | 1.52987i | 0.847681 | + | 0.530506i | \(0.177998\pi\) |
0.0355912 | + | 0.999366i | \(0.488669\pi\) | |||||||
\(674\) | 352374. | − | 290826.i | 0.775682 | − | 0.640196i | ||||
\(675\) | 52197.9 | + | 143412.i | 0.114563 | + | 0.314760i | ||||
\(676\) | 415029. | + | 158750.i | 0.908208 | + | 0.347392i | ||||
\(677\) | 193016. | − | 334314.i | 0.421130 | − | 0.729419i | −0.574920 | − | 0.818209i | \(-0.694967\pi\) |
0.996050 | + | 0.0887907i | \(0.0283002\pi\) | |||||||
\(678\) | 8141.44 | − | 1367.38i | 0.0177109 | − | 0.00297460i | ||||
\(679\) | −33593.0 | − | 40034.6i | −0.0728634 | − | 0.0868353i | ||||
\(680\) | −132209. | + | 44498.4i | −0.285920 | + | 0.0962337i | ||||
\(681\) | −14103.0 | − | 79981.8i | −0.0304100 | − | 0.172463i | ||||
\(682\) | −626984. | − | 5099.59i | −1.34799 | − | 0.0109639i | ||||
\(683\) | − | 415120.i | − | 0.889882i | −0.895560 | − | 0.444941i | \(-0.853225\pi\) | ||
0.895560 | − | 0.444941i | \(-0.146775\pi\) | |||||||
\(684\) | −190883. | + | 411389.i | −0.407995 | + | 0.879307i | ||||
\(685\) | 75013.5 | 0.159867 | ||||||||
\(686\) | −890.699 | + | 109510.i | −0.00189270 | + | 0.232704i | ||||
\(687\) | 63889.8 | − | 11265.5i | 0.135369 | − | 0.0238692i | ||||
\(688\) | −161883. | − | 206190.i | −0.341998 | − | 0.435602i | ||||
\(689\) | −44087.7 | + | 36994.0i | −0.0928708 | + | 0.0779278i | ||||
\(690\) | −3491.72 | − | 20789.9i | −0.00733401 | − | 0.0436671i | ||||
\(691\) | 88934.9 | + | 51346.6i | 0.186258 | + | 0.107536i | 0.590230 | − | 0.807235i | \(-0.299037\pi\) |
−0.403971 | + | 0.914772i | \(0.632370\pi\) | |||||||
\(692\) | 480020. | + | 183609.i | 1.00241 | + | 0.383426i | ||||
\(693\) | −65234.2 | + | 23743.3i | −0.135834 | + | 0.0494395i | ||||
\(694\) | −95268.0 | − | 115430.i | −0.197801 | − | 0.239662i | ||||
\(695\) | 87143.9 | − | 50312.5i | 0.180413 | − | 0.104161i | ||||
\(696\) | 68066.2 | − | 37114.0i | 0.140512 | − | 0.0766159i | ||||
\(697\) | 47291.0 | − | 268201.i | 0.0973448 | − | 0.552070i | ||||
\(698\) | 472150. | − | 802640.i | 0.969101 | − | 1.64744i | ||||
\(699\) | −17593.1 | + | 20966.7i | −0.0360071 | + | 0.0429116i | ||||
\(700\) | −36541.4 | + | 42136.9i | −0.0745742 | + | 0.0859937i | ||||
\(701\) | 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 | ||||
\(706\) | 480392. | + | 847915.i | 0.963798 | + | 1.70115i | ||||
\(707\) | 41482.9 | − | 49437.4i | 0.0829908 | − | 0.0989046i | ||||
\(708\) | −13117.6 | + | 67914.2i | −0.0261690 | + | 0.135486i | ||||
\(709\) | −56907.0 | + | 322735.i | −0.113207 | + | 0.642028i | 0.874416 | + | 0.485178i | \(0.161245\pi\) |
−0.987622 | + | 0.156850i | \(0.949866\pi\) | |||||||
\(710\) | 149922. | + | 27694.4i | 0.297405 | + | 0.0549383i | ||||
\(711\) | 366833. | − | 211791.i | 0.725654 | − | 0.418957i | ||||
\(712\) | 85120.6 | − | 422226.i | 0.167909 | − | 0.832886i | ||||
\(713\) | 758511. | − | 276076.i | 1.49205 | − | 0.543061i | ||||
\(714\) | 14225.6 | + | 12135.2i | 0.0279046 | + | 0.0238041i | ||||
\(715\) | 15799.5 | + | 9121.84i | 0.0309052 | + | 0.0178431i | ||||
\(716\) | 444410. | − | 247030.i | 0.866877 | − | 0.481863i | ||||
\(717\) | 71826.2 | − | 60269.4i | 0.139716 | − | 0.117235i | ||||
\(718\) | 73407.3 | − | 196693.i | 0.142394 | − | 0.381539i | ||||
\(719\) | 659794. | − | 116340.i | 1.27629 | − | 0.225045i | 0.505888 | − | 0.862599i | \(-0.331165\pi\) |
0.770406 | + | 0.637554i | \(0.220054\pi\) | |||||||
\(720\) | −44753.7 | + | 72000.5i | −0.0863304 | + | 0.138890i | ||||
\(721\) | −47875.8 | −0.0920970 | ||||||||
\(722\) | 14698.8 | + | 521077.i | 0.0281973 | + | 0.999602i | ||||
\(723\) | − | 45438.0i | − | 0.0869246i | ||||||
\(724\) | 602654. | − | 208311.i | 1.14972 | − | 0.397406i | ||||
\(725\) | 81064.6 | + | 459740.i | 0.154225 | + | 0.874655i | ||||
\(726\) | 20004.9 | − | 53602.6i | 0.0379546 | − | 0.101698i | ||||
\(727\) | −350700. | − | 417949.i | −0.663541 | − | 0.790777i | 0.324349 | − | 0.945938i | \(-0.394855\pi\) |
−0.987889 | + | 0.155161i | \(0.950410\pi\) | |||||||
\(728\) | 6824.05 | − | 7740.90i | 0.0128759 | − | 0.0146059i | ||||
\(729\) | −218096. | + | 377753.i | −0.410386 | + | 0.710810i | ||||
\(730\) | 5688.26 | + | 4852.40i | 0.0106742 | + | 0.00910564i | ||||
\(731\) | −180997. | − | 497286.i | −0.338717 | − | 0.930617i | ||||
\(732\) | −20312.6 | − | 12172.3i | −0.0379091 | − | 0.0227169i | ||||
\(733\) | −494155. | − | 855902.i | −0.919720 | − | 1.59300i | −0.799841 | − | 0.600213i | \(-0.795083\pi\) |
−0.119879 | − | 0.992788i | \(-0.538251\pi\) | |||||||
\(734\) | −158142. | − | 29212.9i | −0.293532 | − | 0.0542228i | ||||
\(735\) | 15497.5 | + | 2732.62i | 0.0286871 | + | 0.00505830i | ||||
\(736\) | −546873. | + | 600373.i | −1.00956 | + | 1.10832i | ||||
\(737\) | 830803. | + | 697126.i | 1.52955 | + | 1.28344i | ||||
\(738\) | −81585.0 | − | 144002.i | −0.149795 | − | 0.264396i | ||||
\(739\) | −213102. | + | 585492.i | −0.390210 | + | 1.07209i | 0.576696 | + | 0.816959i | \(0.304342\pi\) |
−0.966906 | + | 0.255134i | \(0.917880\pi\) | |||||||
\(740\) | −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 | \(-0.635527\pi\) |
0.901794 | − | 0.432166i | \(-0.142250\pi\) | |||||||
\(744\) | 95560.2 | + | 37445.8i | 0.172636 | + | 0.0676484i | ||||
\(745\) | −41429.2 | − | 34763.2i | −0.0746438 | − | 0.0626336i | ||||
\(746\) | 151161. | − | 256969.i | 0.271621 | − | 0.461747i | ||||
\(747\) | −507199. | − | 89432.9i | −0.908944 | − | 0.160271i | ||||
\(748\) | 1.25755e6 | − | 200706.i | 2.24761 | − | 0.358721i | ||||
\(749\) | −24852.0 | − | 43045.0i | −0.0442994 | − | 0.0767288i | ||||
\(750\) | 20849.1 | + | 25261.5i | 0.0370651 | + | 0.0449093i | ||||
\(751\) | 260386. | + | 715404.i | 0.461676 | + | 1.26845i | 0.924224 | + | 0.381851i | \(0.124713\pi\) |
−0.462548 | + | 0.886594i | \(0.653065\pi\) | |||||||
\(752\) | 199245. | + | 608298.i | 0.352332 | + | 1.07567i | ||||
\(753\) | 79909.2 | − | 138407.i | 0.140931 | − | 0.244100i | ||||
\(754\) | −14306.2 | − | 85180.0i | −0.0251641 | − | 0.149829i | ||||
\(755\) | −61437.5 | − | 73218.4i | −0.107780 | − | 0.128448i | ||||
\(756\) | 23083.3 | + | 375.523i | 0.0403883 | + | 0.000657041i | ||||
\(757\) | −10086.4 | − | 57203.0i | −0.0176014 | − | 0.0998222i | 0.974741 | − | 0.223336i | \(-0.0716948\pi\) |
−0.992343 | + | 0.123514i | \(0.960584\pi\) | |||||||
\(758\) | −356.824 | + | 43870.8i | −0.000621035 | + | 0.0763549i | ||||
\(759\) | 192448.i | 0.334065i | ||||||||
\(760\) | −9097.66 | + | 97018.2i | −0.0157508 | + | 0.167968i | ||||
\(761\) | −50336.3 | −0.0869185 | −0.0434592 | − | 0.999055i | \(-0.513838\pi\) | ||||
−0.0434592 | + | 0.999055i | \(0.513838\pi\) | |||||||
\(762\) | −29796.5 | − | 242.350i | −0.0513162 | − | 0.000417382i | ||||
\(763\) | −67599.9 | + | 11919.7i | −0.116117 | + | 0.0204746i | ||||
\(764\) | 18140.1 | − | 1.11507e6i | 0.0310779 | − | 1.91036i | ||||
\(765\) | −131101. | + | 110007.i | −0.224018 | + | 0.187973i | ||||
\(766\) | −63639.0 | + | 10688.3i | −0.108459 | + | 0.0182160i | ||||
\(767\) | 66737.4 | + | 38530.9i | 0.113443 | + | 0.0654965i | ||||
\(768\) | −102642. | + | 11280.9i | −0.174022 | + | 0.0191259i | ||||
\(769\) | −890447. | + | 324096.i | −1.50576 | + | 0.548051i | −0.957544 | − | 0.288287i | \(-0.906914\pi\) |
−0.548214 | + | 0.836338i | \(0.684692\pi\) | |||||||
\(770\) | −11503.9 | + | 9494.52i | −0.0194027 | + | 0.0160137i | ||||
\(771\) | 134692. | − | 77764.6i | 0.226586 | − | 0.130820i | ||||
\(772\) | 89873.5 | + | 563113.i | 0.150798 | + | 0.944846i | ||||
\(773\) | 137109. | − | 777582.i | 0.229460 | − | 1.30133i | −0.624514 | − | 0.781013i | \(-0.714703\pi\) |
0.853974 | − | 0.520316i | \(-0.174186\pi\) | |||||||
\(774\) | −277204. | − | 163064.i | −0.462720 | − | 0.272193i | ||||
\(775\) | −397256. | + | 473431.i | −0.661404 | + | 0.788231i | ||||
\(776\) | 542460. | + | 212566.i | 0.900833 | + | 0.352997i | ||||
\(777\) | 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 | ||||
\(782\) | −1.42640e6 | + | 808138.i | −2.33254 | + | 1.32151i | ||||
\(783\) | 124208. | − | 148025.i | 0.202594 | − | 0.241442i | ||||
\(784\) | −285872. | − | 534583.i | −0.465093 | − | 0.869727i | ||||
\(785\) | −15966.7 | + | 90551.5i | −0.0259105 | + | 0.146946i | ||||
\(786\) | −4790.52 | + | 25933.2i | −0.00775420 | + | 0.0419769i | ||||
\(787\) | −972794. | + | 561643.i | −1.57062 | + | 0.906798i | −0.574528 | + | 0.818485i | \(0.694814\pi\) |
−0.996093 | + | 0.0883138i | \(0.971852\pi\) | |||||||
\(788\) | −411220. | + | 686228.i | −0.662249 | + | 1.10514i | ||||
\(789\) | 135416. | − | 49287.3i | 0.217528 | − | 0.0791737i | ||||
\(790\) | 59066.6 | − | 69241.2i | 0.0946428 | − | 0.110946i | ||||
\(791\) | 6512.30 | + | 3759.88i | 0.0104083 | + | 0.00600926i | ||||
\(792\) | 511780. | − | 580541.i | 0.815892 | − | 0.925513i | ||||
\(793\) | −20210.1 | + | 16958.3i | −0.0321383 | + | 0.0269673i | ||||
\(794\) | −501317. | − | 187096.i | −0.795190 | − | 0.296772i | ||||
\(795\) | −13410.3 | + | 2364.59i | −0.0212179 | + | 0.00374130i | ||||
\(796\) | −93820.5 | − | 271428.i | −0.148072 | − | 0.428379i | ||||
\(797\) | 491125. | 0.773171 | 0.386585 | − | 0.922254i | \(-0.373654\pi\) | ||||
0.386585 | + | 0.922254i | \(0.373654\pi\) | |||||||
\(798\) | 11781.8 | − | 5638.56i | 0.0185015 | − | 0.00885446i | ||||
\(799\) | 1.29218e6i | 2.02409i | ||||||||
\(800\) | 132777. | − | 607443.i | 0.207465 | − | 0.949129i | ||||
\(801\) | −91759.8 | − | 520396.i | −0.143017 | − | 0.811089i | ||||
\(802\) | −159630. | − | 59575.4i | −0.248180 | − | 0.0926228i | ||||
\(803\) | −43873.5 | − | 52286.4i | −0.0680411 | − | 0.0810882i | ||||
\(804\) | −86251.9 | − | 155168.i | −0.133431 | − | 0.240044i | ||||
\(805\) | 9601.21 | − | 16629.8i | 0.0148161 | − | 0.0256622i | ||||
\(806\) | 74210.0 | − | 86993.2i | 0.114233 | − | 0.133911i | ||||
\(807\) | 65234.3 | + | 179230.i | 0.100168 | + | 0.275209i | ||||
\(808\) | −142182. | + | 705270.i | −0.217782 | + | 1.08027i | ||||
\(809\) | 326255. | + | 565090.i | 0.498494 | + | 0.863417i | 0.999998 | − | 0.00173796i | \(-0.000553212\pi\) |
−0.501504 | + | 0.865155i | \(0.667220\pi\) | |||||||
\(810\) | −18276.7 | + | 98939.7i | −0.0278565 | + | 0.150800i | ||||
\(811\) | −820253. | − | 144633.i | −1.24711 | − | 0.219900i | −0.489152 | − | 0.872199i | \(-0.662694\pi\) |
−0.757962 | + | 0.652299i | \(0.773805\pi\) | |||||||
\(812\) | 69336.6 | + | 13392.3i | 0.105160 | + | 0.0203116i | ||||
\(813\) | −14268.1 | − | 11972.4i | −0.0215867 | − | 0.0181134i | ||||
\(814\) | 683867. | − | 387449.i | 1.03210 | − | 0.584745i | ||||
\(815\) | 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 | ||||
\(820\) | −26866.1 | − | 23298.4i | −0.0399555 | − | 0.0346497i | ||||
\(821\) | 470031. | + | 394403.i | 0.697333 | + | 0.585132i | 0.921014 | − | 0.389531i | \(-0.127363\pi\) |
−0.223680 | + | 0.974663i | \(0.571807\pi\) | |||||||
\(822\) | 96617.8 | + | 56835.1i | 0.142993 | + | 0.0841149i | ||||
\(823\) | 63683.1 | + | 11229.0i | 0.0940209 | + | 0.0165784i | 0.220461 | − | 0.975396i | \(-0.429244\pi\) |
−0.126440 | + | 0.991974i | \(0.540355\pi\) | |||||||
\(824\) | 468596. | − | 255508.i | 0.690151 | − | 0.376313i | ||||
\(825\) | −73673.4 | − | 127606.i | −0.108244 | − | 0.187484i | ||||
\(826\) | −48592.6 | + | 40105.1i | −0.0712213 | + | 0.0587813i | ||||
\(827\) | −157495. | − | 432713.i | −0.230279 | − | 0.632687i | 0.769704 | − | 0.638400i | \(-0.220404\pi\) |
−0.999984 | + | 0.00571346i | \(0.998181\pi\) | |||||||
\(828\) | −355946. | + | 930569.i | −0.519186 | + | 1.35734i | ||||
\(829\) | 140853. | − | 243964.i | 0.204954 | − | 0.354991i | −0.745164 | − | 0.666881i | \(-0.767629\pi\) |
0.950118 | + | 0.311890i | \(0.100962\pi\) | |||||||
\(830\) | −109131. | + | 18328.8i | −0.158413 | + | 0.0266059i | ||||
\(831\) | 16170.4 | + | 19271.1i | 0.0234163 | + | 0.0279065i | ||||
\(832\) | −25479.7 | + | 112185.i | −0.0368084 | + | 0.162065i | ||||
\(833\) | −212509. | − | 1.20520e6i | −0.306258 | − | 1.73688i | ||||
\(834\) | 150362. | + | 1222.97i | 0.216175 | + | 0.00175827i | ||||
\(835\) | − | 26788.9i | − | 0.0384222i | ||||||
\(836\) | 228602. | − | 859685.i | 0.327090 | − | 1.23006i | ||||
\(837\) | 255814. | 0.365151 | ||||||||
\(838\) | 5762.89 | − | 708536.i | 0.00820640 | − | 1.00896i | ||||
\(839\) | −670758. | + | 118273.i | −0.952888 | + | 0.168020i | −0.628418 | − | 0.777876i | \(-0.716297\pi\) |
−0.324470 | + | 0.945896i | \(0.605186\pi\) | |||||||
\(840\) | 2314.05 | − | 778.852i | 0.00327955 | − | 0.00110382i | ||||
\(841\) | −89019.6 | + | 74696.3i | −0.125862 | + | 0.105611i | ||||
\(842\) | 163840. | + | 975511.i | 0.231097 | + | 1.37597i | ||||
\(843\) | 7301.31 | + | 4215.41i | 0.0102741 | + | 0.00593178i | ||||
\(844\) | −191600. | + | 500910.i | −0.268974 | + | 0.703193i | ||||
\(845\) | 110068. | − | 40061.6i | 0.154152 | − | 0.0561067i | ||||
\(846\) | 499867. | + | 605655.i | 0.698416 | + | 0.846223i | ||||
\(847\) | 45133.1 | − | 26057.6i | 0.0629112 | − | 0.0363218i | ||||
\(848\) | 390666. | + | 350082.i | 0.543268 | + | 0.486831i | ||||
\(849\) | −17317.9 | + | 98214.6i | −0.0240259 | + | 0.136258i | ||||
\(850\) | 636428. | − | 1.08191e6i | 0.880869 | − | 1.49745i | ||||
\(851\) | −650420. | + | 775141.i | −0.898121 | + | 1.07034i | ||||
\(852\) | 172117. | + | 149261.i | 0.237108 | + | 0.205621i | ||||
\(853\) | −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 | \(-0.780088\pi\) | |||||||
\(858\) | 13438.5 | + | 23719.7i | 0.0182548 | + | 0.0322207i | ||||
\(859\) | −530239. | + | 631914.i | −0.718597 | + | 0.856390i | −0.994494 | − | 0.104797i | \(-0.966581\pi\) |
0.275897 | + | 0.961187i | \(0.411025\pi\) | |||||||
\(860\) | −67847.8 | − | 13104.7i | −0.0917357 | − | 0.0177187i | ||||
\(861\) | −827.730 | + | 4694.29i | −0.00111656 | + | 0.00633233i | ||||
\(862\) | 893871. | + | 165121.i | 1.20299 | + | 0.222222i | ||||
\(863\) | −786839. | + | 454282.i | −1.05649 | + | 0.609963i | −0.924459 | − | 0.381282i | \(-0.875483\pi\) |
−0.132029 | + | 0.991246i | \(0.542149\pi\) | |||||||
\(864\) | −227938. | + | 119518.i | −0.305344 | + | 0.160105i | ||||
\(865\) | 127304. | − | 46334.9i | 0.170142 | − | 0.0619265i | ||||
\(866\) | −448971. | − | 382997.i | −0.598664 | − | 0.510693i | ||||
\(867\) | −250467. | − | 144607.i | −0.333206 | − | 0.192377i | ||||
\(868\) | 45421.1 | + | 81713.0i | 0.0602862 | + | 0.108456i | ||||
\(869\) | −636465. | + | 534057.i | −0.842820 | + | 0.707210i | ||||
\(870\) | 7145.56 | − | 19146.3i | 0.00944056 | − | 0.0252957i | ||||
\(871\) | −194780. | + | 34345.0i | −0.256749 | + | 0.0452718i | ||||
\(872\) | 598036. | − | 477440.i | 0.786492 | − | 0.627893i | ||||
\(873\) | 714780. | 0.937873 | ||||||||
\(874\) | 111252. | + | 1.13978e6i | 0.145642 | + | 1.49210i | ||||
\(875\) | 29835.1i | 0.0389683i | ||||||||
\(876\) | 3650.02 | + | 10559.7i | 0.00475649 | + | 0.0137608i | ||||
\(877\) | 2065.22 | + | 11712.4i | 0.00268514 | + | 0.0152282i | 0.986121 | − | 0.166029i | \(-0.0530945\pi\) |
−0.983436 | + | 0.181257i | \(0.941983\pi\) | |||||||
\(878\) | 217376. | − | 582452.i | 0.281983 | − | 0.755564i | ||||
\(879\) | −22667.4 | − | 27014.0i | −0.0293376 | − | 0.0349631i | ||||
\(880\) | 61925.7 | − | 154325.i | 0.0799660 | − | 0.199283i | ||||
\(881\) | 186534. | − | 323086.i | 0.240329 | − | 0.416261i | −0.720479 | − | 0.693476i | \(-0.756078\pi\) |
0.960808 | + | 0.277215i | \(0.0894115\pi\) | |||||||
\(882\) | −565823. | − | 482679.i | −0.727351 | − | 0.620470i | ||||
\(883\) | −370500. | − | 1.01794e6i | −0.475189 | − | 1.30557i | −0.913533 | − | 0.406764i | \(-0.866657\pi\) |
0.438345 | − | 0.898807i | \(-0.355565\pi\) | |||||||
\(884\) | −119376. | + | 199210.i | −0.152761 | + | 0.254921i | ||||
\(885\) | 9116.56 | + | 15790.4i | 0.0116398 | + | 0.0201607i | ||||
\(886\) | −525404. | − | 97055.5i | −0.669308 | − | 0.123638i | ||||
\(887\) | 864787. | + | 152485.i | 1.09916 | + | 0.193812i | 0.693675 | − | 0.720289i | \(-0.255991\pi\) |
0.405488 | + | 0.914101i | \(0.367102\pi\) | |||||||
\(888\) | −127213. | + | 19243.7i | −0.161327 | + | 0.0244041i | ||||
\(889\) | −20792.0 | − | 17446.5i | −0.0263083 | − | 0.0220753i | ||||
\(890\) | −55967.7 | − | 98785.7i | −0.0706573 | − | 0.124714i | ||||
\(891\) | 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 | ||||
\(896\) | −78648.5 | − | 51587.8i | −0.0979657 | − | 0.0642586i | ||||
\(897\) | −26885.5 | − | 22559.6i | −0.0334143 | − | 0.0280380i | ||||
\(898\) | −653727. | + | 1.11131e6i | −0.810669 | + | 1.37811i | ||||
\(899\) | 770611. | + | 135879.i | 0.953489 | + | 0.168126i | ||||
\(900\) | −120226. | − | 753293.i | −0.148428 | − | 0.929992i | ||||
\(901\) | 529486. | + | 917096.i | 0.652236 | + | 1.12971i | ||||
\(902\) | 206643. | + | 250375.i | 0.253985 | + | 0.307736i | ||||
\(903\) | 3167.98 | + | 8703.94i | 0.00388514 | + | 0.0106743i | ||||
\(904\) | −83806.8 | − | 2045.30i | −0.102552 | − | 0.00250276i | ||||
\(905\) | 84041.4 | − | 145564.i | 0.102611 | − | 0.177728i | ||||
\(906\) | −23656.9 | − | 140855.i | −0.0288205 | − | 0.171599i | ||||
\(907\) | 580246. | + | 691511.i | 0.705339 | + | 0.840590i | 0.993119 | − | 0.117106i | \(-0.0373618\pi\) |
−0.287781 | + | 0.957696i | \(0.592917\pi\) | |||||||
\(908\) | −13414.9 | + | 824612.i | −0.0162710 | + | 1.00018i | ||||
\(909\) | 153272. | + | 869248.i | 0.185496 | + | 1.05200i | ||||
\(910\) | 22.1240 | − | 2720.10i | 2.67166e−5 | − | 0.00328475i | ||||
\(911\) | − | 249955.i | − | 0.301179i | −0.988596 | − | 0.150590i | \(-0.951883\pi\) | ||
0.988596 | − | 0.150590i | \(-0.0481172\pi\) | |||||||
\(912\) | −85225.1 | + | 118067.i | −0.102465 | + | 0.141951i | ||||
\(913\) | 1.01020e6 | 1.21190 | ||||||||
\(914\) | 594176. | + | 4832.75i | 0.711251 | + | 0.00578498i | ||||
\(915\) | −6147.37 | + | 1083.95i | −0.00734256 | + | 0.00129469i | ||||
\(916\) | −658704. | − | 10715.9i | −0.785053 | − | 0.0127713i | ||||
\(917\) | −18401.7 | + | 15440.9i | −0.0218836 | + | 0.0183626i | ||||
\(918\) | −512387. | + | 86056.8i | −0.608013 | + | 0.102117i | ||||
\(919\) | 852869. | + | 492404.i | 1.00984 | + | 0.583030i | 0.911144 | − | 0.412088i | \(-0.135201\pi\) |
0.0986929 | + | 0.995118i | \(0.468534\pi\) | |||||||
\(920\) | −5222.85 | + | 214009.i | −0.00617067 | + | 0.252846i | ||||
\(921\) | −138269. | + | 50325.7i | −0.163006 | + | 0.0593295i | ||||
\(922\) | 836833. | − | 690666.i | 0.984412 | − | 0.812468i | ||||
\(923\) | 219813. | − | 126909.i | 0.258018 | − | 0.148967i | ||||
\(924\) | −22010.7 | + | 3512.93i | −0.0257804 | + | 0.00411458i | ||||
\(925\) | 134531. | − | 762965.i | 0.157232 | − | 0.891705i | ||||
\(926\) | 866454. | + | 509688.i | 1.01047 | + | 0.594405i | ||||
\(927\) | 420895. | − | 501603.i | 0.489795 | − | 0.583715i | ||||
\(928\) | −750122. | + | 238961.i | −0.871036 | + | 0.277480i | ||||
\(929\) | −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 | ||||
\(934\) | 311058. | − | 176232.i | 0.356572 | − | 0.202018i | ||||
\(935\) | 215775. | − | 257150.i | 0.246818 | − | 0.294146i | ||||
\(936\) | 21109.9 | + | 139550.i | 0.0240954 | + | 0.159286i | ||||
\(937\) | 94995.1 | − | 538744.i | 0.108199 | − | 0.613625i | −0.881696 | − | 0.471818i | \(-0.843598\pi\) |
0.989894 | − | 0.141807i | \(-0.0452911\pi\) | |||||||
\(938\) | 29374.6 | − | 159018.i | 0.0333861 | − | 0.180734i | ||||
\(939\) | −62231.7 | + | 35929.5i | −0.0705798 | + | 0.0407493i | ||||
\(940\) | 144733. | + | 86730.8i | 0.163799 | + | 0.0981562i | ||||
\(941\) | −356467. | + | 129743.i | −0.402568 | + | 0.146523i | −0.535366 | − | 0.844620i | \(-0.679826\pi\) |
0.132797 | + | 0.991143i | \(0.457604\pi\) | |||||||
\(942\) | −89172.9 | + | 104534.i | −0.100492 | + | 0.117802i | ||||
\(943\) | −361938. | − | 208965.i | −0.407016 | − | 0.234991i | ||||
\(944\) | 261575. | − | 651872.i | 0.293530 | − | 0.731507i | ||||
\(945\) | 4661.84 | − | 3911.75i | 0.00522028 | − | 0.00438033i | ||||
\(946\) | 591009. | + | 220570.i | 0.660407 | + | 0.246470i | ||||
\(947\) | 569475. | − | 100414.i | 0.635001 | − | 0.111968i | 0.153124 | − | 0.988207i | \(-0.451066\pi\) |
0.481877 | + | 0.876239i | \(0.339955\pi\) | |||||||
\(948\) | 128540. | − | 44430.5i | 0.143028 | − | 0.0494384i | ||||
\(949\) | 12447.6 | 0.0138214 | ||||||||
\(950\) | −510101. | − | 713161.i | −0.565209 | − | 0.790207i | ||||
\(951\) | − | 227645.i | − | 0.251708i | ||||||
\(952\) | −118466. | − | 148389.i | −0.130713 | − | 0.163730i | ||||
\(953\) | 128189. | + | 726994.i | 0.141145 | + | 0.800470i | 0.970382 | + | 0.241574i | \(0.0776638\pi\) |
−0.829238 | + | 0.558896i | \(0.811225\pi\) | |||||||
\(954\) | 602943. | + | 225023.i | 0.662490 | + | 0.247247i | ||||
\(955\) | −188961. | − | 225195.i | −0.207189 | − | 0.246918i | ||||
\(956\) | −832203. | + | 462590.i | −0.910571 | + | 0.506151i | ||||
\(957\) | −93280.7 | + | 161567.i | −0.101852 | + | 0.176412i | ||||
\(958\) | 423468. | − | 496414.i | 0.461413 | − | 0.540895i | ||||
\(959\) | 34922.0 | + | 95947.5i | 0.0379719 | + | 0.104327i | ||||
\(960\) | −18492.7 | + | 19973.0i | −0.0200658 | + | 0.0216721i | ||||
\(961\) | 56198.4 | + | 97338.5i | 0.0608524 | + | 0.105399i | ||||
\(962\) | −26038.2 | + | 140956.i | −0.0281359 | + | 0.152312i | ||||
\(963\) | 669474. | + | 118046.i | 0.721907 | + | 0.127292i | ||||
\(964\) | −87503.6 | + | 453036.i | −0.0941612 | + | 0.487505i | ||||
\(965\) | 115149. | + | 96621.2i | 0.123653 | + | 0.103757i | ||||
\(966\) | 24966.2 | − | 14144.8i | 0.0267546 | − | 0.0151580i | ||||
\(967\) | −57641.4 | + | 158369.i | −0.0616427 | + | 0.169362i | −0.966691 | − | 0.255948i | \(-0.917613\pi\) |
0.905048 | + | 0.425310i | \(0.139835\pi\) | |||||||
\(968\) | −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 | \(-0.662307\pi\) |
0.934920 | − | 0.354857i | \(-0.115471\pi\) | |||||||
\(972\) | −311914. | + | 359677.i | −0.330143 | + | 0.380697i | ||||
\(973\) | 104922. | + | 88040.4i | 0.110826 | + | 0.0929943i | ||||
\(974\) | −225143. | − | 132439.i | −0.237323 | − | 0.139604i | ||||
\(975\) | 26463.2 | + | 4666.17i | 0.0278376 | + | 0.00490853i | ||||
\(976\) | 179084. | + | 160480.i | 0.188000 | + | 0.168470i | ||||
\(977\) | 492080. | + | 852308.i | 0.515522 | + | 0.892909i | 0.999838 | + | 0.0180164i | \(0.00573511\pi\) |
−0.484316 | + | 0.874893i | \(0.660932\pi\) | |||||||
\(978\) | 124140. | − | 102457.i | 0.129788 | − | 0.107118i | ||||
\(979\) | 354500. | + | 973980.i | 0.369871 | + | 1.01621i | ||||
\(980\) | −149254. | − | 57090.1i | −0.155408 | − | 0.0594441i | ||||
\(981\) | 469413. | − | 813047.i | 0.487772 | − | 0.844846i | ||||
\(982\) | 482726. | − | 81075.1i | 0.500585 | − | 0.0840746i | ||||
\(983\) | −531444. | − | 633351.i | −0.549985 | − | 0.655447i | 0.417410 | − | 0.908718i | \(-0.362938\pi\) |
−0.967395 | + | 0.253272i | \(0.918493\pi\) | |||||||
\(984\) | −16951.3 | − | 50364.0i | −0.0175070 | − | 0.0520152i | ||||
\(985\) | 36619.4 | + | 207679.i | 0.0377432 | + | 0.214052i | ||||
\(986\) | −1.58922e6 | − | 12926.0i | −1.63467 | − | 0.0132956i | ||||
\(987\) | − | 22617.0i | − | 0.0232167i | ||||||
\(988\) | 93302.3 | + | 132712.i | 0.0955825 | + | 0.135955i | ||||
\(989\) | −812111. | −0.830277 | ||||||||
\(990\) | 1659.23 | − | 203998.i | 0.00169291 | − | 0.208140i | ||||
\(991\) | 1.18120e6 | − | 208278.i | 1.20275 | − | 0.212078i | 0.463866 | − | 0.885906i | \(-0.346462\pi\) |
0.738889 | + | 0.673828i | \(0.235351\pi\) | |||||||
\(992\) | −880663. | − | 557379.i | −0.894925 | − | 0.566405i | ||||
\(993\) | −74216.4 | + | 62275.0i | −0.0752665 | + | 0.0631561i | ||||
\(994\) | 34372.1 | + | 204654.i | 0.0347883 | + | 0.207132i | ||||
\(995\) | −65560.1 | − | 37851.2i | −0.0662207 | − | 0.0382325i | ||||
\(996\) | −154448. | − | 59076.9i | −0.155691 | − | 0.0595524i | ||||
\(997\) | −379101. | + | 137982.i | −0.381386 | + | 0.138813i | −0.525597 | − | 0.850734i | \(-0.676158\pi\) |
0.144211 | + | 0.989547i | \(0.453936\pi\) | |||||||
\(998\) | 322306. | + | 390517.i | 0.323600 | + | 0.392083i | ||||
\(999\) | −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.23.1 | ✓ | 228 | |
4.3 | odd | 2 | inner | 76.5.l.a.23.9 | yes | 228 | |
19.5 | even | 9 | inner | 76.5.l.a.43.9 | yes | 228 | |
76.43 | odd | 18 | inner | 76.5.l.a.43.1 | yes | 228 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.5.l.a.23.1 | ✓ | 228 | 1.1 | even | 1 | trivial | |
76.5.l.a.23.9 | yes | 228 | 4.3 | odd | 2 | inner | |
76.5.l.a.43.1 | yes | 228 | 76.43 | odd | 18 | inner | |
76.5.l.a.43.9 | yes | 228 | 19.5 | even | 9 | inner |