Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [165,4,Mod(7,165)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(165, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([0, 5, 14]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("165.7");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 165 = 3 \cdot 5 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 165.w (of order \(20\), degree \(8\), 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: | \(9.73531515095\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 7.18 | ||
Character | \(\chi\) | \(=\) | 165.7 |
Dual form | 165.4.w.a.118.18 |
$q$-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 \(\left(\mathbb{Z}/165\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) | \(67\) |
\(\chi(n)\) | \(e\left(\frac{7}{10}\right)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.623925 | + | 0.0988201i | −0.220591 | + | 0.0349382i | −0.265751 | − | 0.964042i | \(-0.585620\pi\) |
0.0451606 | + | 0.998980i | \(0.485620\pi\) | |||||||
\(3\) | −1.36197 | − | 2.67302i | −0.262112 | − | 0.514423i | ||||
\(4\) | −7.22893 | + | 2.34882i | −0.903617 | + | 0.293603i | ||||
\(5\) | 9.11856 | − | 6.46930i | 0.815589 | − | 0.578632i | ||||
\(6\) | 1.11392 | + | 1.53317i | 0.0757924 | + | 0.104319i | ||||
\(7\) | 19.1840 | + | 9.77474i | 1.03584 | + | 0.527786i | 0.887335 | − | 0.461125i | \(-0.152554\pi\) |
0.148504 | + | 0.988912i | \(0.452554\pi\) | |||||||
\(8\) | 8.78101 | − | 4.47415i | 0.388070 | − | 0.197731i | ||||
\(9\) | −5.29007 | + | 7.28115i | −0.195928 | + | 0.269672i | ||||
\(10\) | −5.05000 | + | 4.93746i | −0.159695 | + | 0.156136i | ||||
\(11\) | −36.4611 | − | 1.26076i | −0.999403 | − | 0.0345576i | ||||
\(12\) | 16.1241 | + | 16.1241i | 0.387884 | + | 0.387884i | ||||
\(13\) | 3.87521 | + | 24.4671i | 0.0826761 | + | 0.521996i | 0.993918 | + | 0.110124i | \(0.0351249\pi\) |
−0.911242 | + | 0.411872i | \(0.864875\pi\) | |||||||
\(14\) | −12.9353 | − | 4.20294i | −0.246937 | − | 0.0802346i | ||||
\(15\) | −29.7118 | − | 15.5631i | −0.511437 | − | 0.267891i | ||||
\(16\) | 44.1578 | − | 32.0825i | 0.689966 | − | 0.501290i | ||||
\(17\) | 15.1873 | − | 95.8888i | 0.216674 | − | 1.36803i | −0.604161 | − | 0.796862i | \(-0.706492\pi\) |
0.820835 | − | 0.571165i | \(-0.193508\pi\) | |||||||
\(18\) | 2.58108 | − | 5.06566i | 0.0337982 | − | 0.0663326i | ||||
\(19\) | 29.3757 | − | 90.4091i | 0.354697 | − | 1.09165i | −0.601487 | − | 0.798882i | \(-0.705425\pi\) |
0.956185 | − | 0.292764i | \(-0.0945750\pi\) | |||||||
\(20\) | −50.7222 | + | 68.1840i | −0.567092 | + | 0.762321i | ||||
\(21\) | − | 64.5921i | − | 0.671198i | ||||||
\(22\) | 22.8736 | − | 2.81647i | 0.221667 | − | 0.0272942i | ||||
\(23\) | 123.152 | − | 123.152i | 1.11648 | − | 1.11648i | 0.124226 | − | 0.992254i | \(-0.460355\pi\) |
0.992254 | − | 0.124226i | \(-0.0396449\pi\) | |||||||
\(24\) | −23.9190 | − | 17.3782i | −0.203435 | − | 0.147804i | ||||
\(25\) | 41.2963 | − | 117.981i | 0.330370 | − | 0.943851i | ||||
\(26\) | −4.83568 | − | 14.8827i | −0.0364752 | − | 0.112259i | ||||
\(27\) | 26.6676 | + | 4.22373i | 0.190081 | + | 0.0301058i | ||||
\(28\) | −161.639 | − | 25.6011i | −1.09096 | − | 0.172791i | ||||
\(29\) | −31.8296 | − | 97.9616i | −0.203814 | − | 0.627276i | −0.999760 | − | 0.0219080i | \(-0.993026\pi\) |
0.795946 | − | 0.605368i | \(-0.206974\pi\) | |||||||
\(30\) | 20.0759 | + | 6.77408i | 0.122178 | + | 0.0412258i | ||||
\(31\) | −6.98693 | − | 5.07630i | −0.0404803 | − | 0.0294106i | 0.567361 | − | 0.823469i | \(-0.307964\pi\) |
−0.607841 | + | 0.794058i | \(0.707964\pi\) | |||||||
\(32\) | −80.1300 | + | 80.1300i | −0.442660 | + | 0.442660i | ||||
\(33\) | 46.2889 | + | 99.1783i | 0.244178 | + | 0.523174i | ||||
\(34\) | 61.3283i | 0.309345i | ||||||||
\(35\) | 238.166 | − | 34.9756i | 1.15021 | − | 0.168913i | ||||
\(36\) | 21.1394 | − | 65.0604i | 0.0978676 | − | 0.301206i | ||||
\(37\) | −112.056 | + | 219.923i | −0.497891 | + | 0.977166i | 0.496158 | + | 0.868232i | \(0.334744\pi\) |
−0.994049 | + | 0.108934i | \(0.965256\pi\) | |||||||
\(38\) | −9.39401 | + | 59.3115i | −0.0401029 | + | 0.253200i | ||||
\(39\) | 60.1231 | − | 43.6820i | 0.246856 | − | 0.179352i | ||||
\(40\) | 51.1256 | − | 97.6048i | 0.202092 | − | 0.385817i | ||||
\(41\) | 143.602 | + | 46.6592i | 0.546997 | + | 0.177730i | 0.569462 | − | 0.822017i | \(-0.307151\pi\) |
−0.0224651 | + | 0.999748i | \(0.507151\pi\) | |||||||
\(42\) | 6.38300 | + | 40.3007i | 0.0234504 | + | 0.148060i | ||||
\(43\) | −343.719 | − | 343.719i | −1.21899 | − | 1.21899i | −0.967985 | − | 0.251008i | \(-0.919238\pi\) |
−0.251008 | − | 0.967985i | \(-0.580762\pi\) | |||||||
\(44\) | 266.536 | − | 76.5267i | 0.913223 | − | 0.262201i | ||||
\(45\) | −1.13383 | + | 100.617i | −0.00375602 | + | 0.333312i | ||||
\(46\) | −64.6680 | + | 89.0078i | −0.207278 | + | 0.285293i | ||||
\(47\) | −128.308 | + | 65.3762i | −0.398205 | + | 0.202896i | −0.641613 | − | 0.767028i | \(-0.721735\pi\) |
0.243408 | + | 0.969924i | \(0.421735\pi\) | |||||||
\(48\) | −145.899 | − | 74.3392i | −0.438723 | − | 0.223541i | ||||
\(49\) | 70.8703 | + | 97.5446i | 0.206619 | + | 0.284386i | ||||
\(50\) | −14.1069 | + | 77.6925i | −0.0399002 | + | 0.219748i | ||||
\(51\) | −276.997 | + | 90.0019i | −0.760537 | + | 0.247114i | ||||
\(52\) | −85.4825 | − | 167.769i | −0.227967 | − | 0.447411i | ||||
\(53\) | 390.809 | − | 61.8981i | 1.01286 | − | 0.160422i | 0.372126 | − | 0.928182i | \(-0.378629\pi\) |
0.640737 | + | 0.767760i | \(0.278629\pi\) | |||||||
\(54\) | −17.0560 | −0.0429819 | ||||||||
\(55\) | −340.629 | + | 224.381i | −0.835098 | + | 0.550101i | ||||
\(56\) | 212.189 | 0.506338 | ||||||||
\(57\) | −281.674 | + | 44.6128i | −0.654538 | + | 0.103669i | ||||
\(58\) | 29.5399 | + | 57.9753i | 0.0668755 | + | 0.131250i | ||||
\(59\) | 762.641 | − | 247.797i | 1.68284 | − | 0.546787i | 0.697379 | − | 0.716702i | \(-0.254349\pi\) |
0.985459 | + | 0.169915i | \(0.0543494\pi\) | |||||||
\(60\) | 251.340 | + | 42.7168i | 0.540797 | + | 0.0919119i | ||||
\(61\) | 63.3217 | + | 87.1549i | 0.132910 | + | 0.182935i | 0.870285 | − | 0.492549i | \(-0.163935\pi\) |
−0.737375 | + | 0.675484i | \(0.763935\pi\) | |||||||
\(62\) | 4.86096 | + | 2.47678i | 0.00995714 | + | 0.00507342i | ||||
\(63\) | −172.656 | + | 87.9727i | −0.345280 | + | 0.175929i | ||||
\(64\) | −214.584 | + | 295.349i | −0.419109 | + | 0.576854i | ||||
\(65\) | 193.621 | + | 198.035i | 0.369473 | + | 0.377895i | ||||
\(66\) | −38.6816 | − | 57.3056i | −0.0721421 | − | 0.106876i | ||||
\(67\) | 31.1291 | + | 31.1291i | 0.0567616 | + | 0.0567616i | 0.734918 | − | 0.678156i | \(-0.237221\pi\) |
−0.678156 | + | 0.734918i | \(0.737221\pi\) | |||||||
\(68\) | 115.438 | + | 728.846i | 0.205866 | + | 1.29979i | ||||
\(69\) | −496.919 | − | 161.459i | −0.866985 | − | 0.281701i | ||||
\(70\) | −145.142 | + | 45.3577i | −0.247825 | + | 0.0774470i | ||||
\(71\) | 13.8383 | − | 10.0541i | 0.0231311 | − | 0.0168057i | −0.576160 | − | 0.817337i | \(-0.695449\pi\) |
0.599291 | + | 0.800531i | \(0.295449\pi\) | |||||||
\(72\) | −13.8752 | + | 87.6045i | −0.0227112 | + | 0.143393i | ||||
\(73\) | −51.2601 | + | 100.604i | −0.0821855 | + | 0.161298i | −0.928442 | − | 0.371478i | \(-0.878851\pi\) |
0.846256 | + | 0.532776i | \(0.178851\pi\) | |||||||
\(74\) | 48.1820 | − | 148.289i | 0.0756898 | − | 0.232949i | ||||
\(75\) | −371.611 | + | 50.3016i | −0.572133 | + | 0.0774443i | ||||
\(76\) | 722.560i | 1.09057i | ||||||||
\(77\) | −687.146 | − | 380.584i | −1.01698 | − | 0.563267i | ||||
\(78\) | −33.1957 | + | 33.1957i | −0.0481881 | + | 0.0481881i | ||||
\(79\) | 489.389 | + | 355.562i | 0.696969 | + | 0.506377i | 0.878944 | − | 0.476926i | \(-0.158249\pi\) |
−0.181975 | + | 0.983303i | \(0.558249\pi\) | |||||||
\(80\) | 195.104 | − | 578.217i | 0.272666 | − | 0.808083i | ||||
\(81\) | −25.0304 | − | 77.0356i | −0.0343352 | − | 0.105673i | ||||
\(82\) | −94.2079 | − | 14.9211i | −0.126872 | − | 0.0200946i | ||||
\(83\) | 308.231 | + | 48.8190i | 0.407624 | + | 0.0645612i | 0.356879 | − | 0.934150i | \(-0.383841\pi\) |
0.0507441 | + | 0.998712i | \(0.483841\pi\) | |||||||
\(84\) | 151.716 | + | 466.932i | 0.197066 | + | 0.606506i | ||||
\(85\) | −481.847 | − | 972.619i | −0.614867 | − | 1.24112i | ||||
\(86\) | 248.422 | + | 180.489i | 0.311488 | + | 0.226309i | ||||
\(87\) | −218.502 | + | 218.502i | −0.269263 | + | 0.269263i | ||||
\(88\) | −325.806 | + | 152.062i | −0.394671 | + | 0.184202i | ||||
\(89\) | 462.648i | 0.551017i | 0.961299 | + | 0.275509i | \(0.0888463\pi\) | ||||
−0.961299 | + | 0.275509i | \(0.911154\pi\) | |||||||
\(90\) | −9.23552 | − | 62.8893i | −0.0108168 | − | 0.0736569i | ||||
\(91\) | −164.818 | + | 507.256i | −0.189863 | + | 0.584340i | ||||
\(92\) | −600.997 | + | 1179.52i | −0.681069 | + | 1.33667i | ||||
\(93\) | −4.05305 | + | 25.5900i | −0.00451916 | + | 0.0285329i | ||||
\(94\) | 73.5942 | − | 53.4693i | 0.0807517 | − | 0.0586695i | ||||
\(95\) | −317.020 | − | 1014.44i | −0.342374 | − | 1.09557i | ||||
\(96\) | 323.324 | + | 105.054i | 0.343741 | + | 0.111688i | ||||
\(97\) | 49.4461 | + | 312.190i | 0.0517576 | + | 0.326785i | 0.999958 | + | 0.00911329i | \(0.00290089\pi\) |
−0.948201 | + | 0.317671i | \(0.897099\pi\) | |||||||
\(98\) | −53.8571 | − | 53.8571i | −0.0555142 | − | 0.0555142i | ||||
\(99\) | 202.061 | − | 258.809i | 0.205131 | − | 0.262740i | ||||
\(100\) | −21.4106 | + | 949.878i | −0.0214106 | + | 0.949878i | ||||
\(101\) | −820.013 | + | 1128.65i | −0.807865 | + | 1.11193i | 0.183785 | + | 0.982967i | \(0.441165\pi\) |
−0.991649 | + | 0.128964i | \(0.958835\pi\) | |||||||
\(102\) | 163.932 | − | 83.5274i | 0.159134 | − | 0.0810828i | ||||
\(103\) | −1169.87 | − | 596.078i | −1.11913 | − | 0.570226i | −0.206270 | − | 0.978495i | \(-0.566132\pi\) |
−0.912862 | + | 0.408269i | \(0.866132\pi\) | |||||||
\(104\) | 143.498 | + | 197.508i | 0.135299 | + | 0.186223i | ||||
\(105\) | −417.866 | − | 588.987i | −0.388377 | − | 0.547422i | ||||
\(106\) | −237.719 | + | 77.2396i | −0.217824 | + | 0.0707752i | ||||
\(107\) | −30.6735 | − | 60.2001i | −0.0277132 | − | 0.0543903i | 0.876735 | − | 0.480974i | \(-0.159717\pi\) |
−0.904448 | + | 0.426584i | \(0.859717\pi\) | |||||||
\(108\) | −202.699 | + | 32.1044i | −0.180599 | + | 0.0286041i | ||||
\(109\) | 1863.29 | 1.63734 | 0.818672 | − | 0.574262i | \(-0.194711\pi\) | ||||
0.818672 | + | 0.574262i | \(0.194711\pi\) | |||||||
\(110\) | 190.354 | − | 173.658i | 0.164995 | − | 0.150524i | ||||
\(111\) | 740.476 | 0.633179 | ||||||||
\(112\) | 1160.72 | − | 183.840i | 0.979268 | − | 0.155101i | ||||
\(113\) | −125.393 | − | 246.098i | −0.104390 | − | 0.204876i | 0.832904 | − | 0.553418i | \(-0.186677\pi\) |
−0.937293 | + | 0.348542i | \(0.886677\pi\) | |||||||
\(114\) | 171.335 | − | 55.6701i | 0.140763 | − | 0.0457367i | ||||
\(115\) | 326.263 | − | 1919.68i | 0.264558 | − | 1.55662i | ||||
\(116\) | 460.189 | + | 633.396i | 0.368340 | + | 0.506977i | ||||
\(117\) | −198.649 | − | 101.217i | −0.156967 | − | 0.0799785i | ||||
\(118\) | −451.344 | + | 229.971i | −0.352115 | + | 0.179412i | ||||
\(119\) | 1228.64 | − | 1691.08i | 0.946466 | − | 1.30270i | ||||
\(120\) | −330.531 | − | 3.72468i | −0.251444 | − | 0.00283346i | ||||
\(121\) | 1327.82 | + | 91.9374i | 0.997612 | + | 0.0690740i | ||||
\(122\) | −48.1207 | − | 48.1207i | −0.0357102 | − | 0.0357102i | ||||
\(123\) | −70.8611 | − | 447.400i | −0.0519458 | − | 0.327973i | ||||
\(124\) | 62.4314 | + | 20.2852i | 0.0452137 | + | 0.0146908i | ||||
\(125\) | −386.695 | − | 1342.98i | −0.276696 | − | 0.960957i | ||||
\(126\) | 99.0310 | − | 71.9503i | 0.0700189 | − | 0.0508717i | ||||
\(127\) | −212.276 | + | 1340.26i | −0.148319 | + | 0.936448i | 0.795493 | + | 0.605963i | \(0.207212\pi\) |
−0.943811 | + | 0.330485i | \(0.892788\pi\) | |||||||
\(128\) | 516.271 | − | 1013.24i | 0.356503 | − | 0.699676i | ||||
\(129\) | −450.633 | + | 1386.90i | −0.307566 | + | 0.946590i | ||||
\(130\) | −140.375 | − | 104.425i | −0.0947055 | − | 0.0704516i | ||||
\(131\) | − | 239.202i | − | 0.159535i | −0.996813 | − | 0.0797677i | \(-0.974582\pi\) | ||
0.996813 | − | 0.0797677i | \(-0.0254179\pi\) | |||||||
\(132\) | −567.572 | − | 608.229i | −0.374248 | − | 0.401057i | ||||
\(133\) | 1447.27 | − | 1447.27i | 0.943565 | − | 0.943565i | ||||
\(134\) | −22.4984 | − | 16.3461i | −0.0145042 | − | 0.0105379i | ||||
\(135\) | 270.495 | − | 134.006i | 0.172448 | − | 0.0854328i | ||||
\(136\) | −295.661 | − | 909.952i | −0.186417 | − | 0.573733i | ||||
\(137\) | 2215.05 | + | 350.830i | 1.38135 | + | 0.218784i | 0.802501 | − | 0.596651i | \(-0.203502\pi\) |
0.578849 | + | 0.815435i | \(0.303502\pi\) | |||||||
\(138\) | 325.996 | + | 51.6326i | 0.201091 | + | 0.0318497i | ||||
\(139\) | −84.3593 | − | 259.631i | −0.0514767 | − | 0.158429i | 0.922014 | − | 0.387158i | \(-0.126543\pi\) |
−0.973490 | + | 0.228729i | \(0.926543\pi\) | |||||||
\(140\) | −1639.54 | + | 812.247i | −0.989758 | + | 0.490338i | ||||
\(141\) | 349.504 | + | 253.929i | 0.208748 | + | 0.151665i | ||||
\(142\) | −7.64053 | + | 7.64053i | −0.00451535 | + | 0.00451535i | ||||
\(143\) | −110.447 | − | 896.983i | −0.0645878 | − | 0.524542i | ||||
\(144\) | 491.239i | 0.284282i | ||||||||
\(145\) | −923.983 | − | 687.353i | −0.529191 | − | 0.393666i | ||||
\(146\) | 22.0408 | − | 67.8346i | 0.0124939 | − | 0.0384523i | ||||
\(147\) | 164.215 | − | 322.291i | 0.0921377 | − | 0.180830i | ||||
\(148\) | 293.488 | − | 1853.01i | 0.163004 | − | 1.02917i | ||||
\(149\) | −356.123 | + | 258.739i | −0.195804 | + | 0.142260i | −0.681367 | − | 0.731942i | \(-0.738614\pi\) |
0.485564 | + | 0.874201i | \(0.338614\pi\) | |||||||
\(150\) | 226.887 | − | 68.1070i | 0.123501 | − | 0.0370728i | ||||
\(151\) | −3196.18 | − | 1038.50i | −1.72252 | − | 0.559682i | −0.730188 | − | 0.683247i | \(-0.760567\pi\) |
−0.992337 | + | 0.123565i | \(0.960567\pi\) | |||||||
\(152\) | −146.556 | − | 925.315i | −0.0782054 | − | 0.493770i | ||||
\(153\) | 617.839 | + | 617.839i | 0.326466 | + | 0.326466i | ||||
\(154\) | 466.337 | + | 169.552i | 0.244016 | + | 0.0887202i | ||||
\(155\) | −96.5508 | − | 1.08801i | −0.0500332 | − | 0.000563813i | ||||
\(156\) | −332.025 | + | 456.993i | −0.170405 | + | 0.234543i | ||||
\(157\) | −1708.55 | + | 870.547i | −0.868515 | + | 0.442530i | −0.830678 | − | 0.556754i | \(-0.812047\pi\) |
−0.0378369 | + | 0.999284i | \(0.512047\pi\) | |||||||
\(158\) | −340.479 | − | 173.483i | −0.171437 | − | 0.0873515i | ||||
\(159\) | −697.726 | − | 960.337i | −0.348008 | − | 0.478992i | ||||
\(160\) | −212.285 | + | 1249.06i | −0.104891 | + | 0.617166i | ||||
\(161\) | 3566.34 | − | 1158.77i | 1.74576 | − | 0.567231i | ||||
\(162\) | 23.2297 | + | 45.5909i | 0.0112661 | + | 0.0221109i | ||||
\(163\) | −3886.74 | + | 615.599i | −1.86769 | + | 0.295813i | −0.984790 | − | 0.173752i | \(-0.944411\pi\) |
−0.882898 | + | 0.469564i | \(0.844411\pi\) | |||||||
\(164\) | −1147.68 | −0.546458 | ||||||||
\(165\) | 1063.70 | + | 604.906i | 0.501874 | + | 0.285405i | ||||
\(166\) | −197.137 | −0.0921737 | ||||||||
\(167\) | −1347.15 | + | 213.367i | −0.624224 | + | 0.0988673i | −0.460530 | − | 0.887644i | \(-0.652341\pi\) |
−0.163693 | + | 0.986511i | \(0.552341\pi\) | |||||||
\(168\) | −288.995 | − | 567.185i | −0.132717 | − | 0.260472i | ||||
\(169\) | 1505.85 | − | 489.280i | 0.685412 | − | 0.222704i | ||||
\(170\) | 396.751 | + | 559.226i | 0.178997 | + | 0.252298i | ||||
\(171\) | 502.883 | + | 692.159i | 0.224891 | + | 0.309537i | ||||
\(172\) | 3292.06 | + | 1677.39i | 1.45940 | + | 0.743603i | ||||
\(173\) | −2789.60 | + | 1421.37i | −1.22595 | + | 0.624653i | −0.942459 | − | 0.334322i | \(-0.891493\pi\) |
−0.283491 | + | 0.958975i | \(0.591493\pi\) | |||||||
\(174\) | 114.737 | − | 157.921i | 0.0499894 | − | 0.0688045i | ||||
\(175\) | 1945.47 | − | 1859.70i | 0.840362 | − | 0.803313i | ||||
\(176\) | −1650.49 | + | 1114.09i | −0.706877 | + | 0.477147i | ||||
\(177\) | −1701.06 | − | 1701.06i | −0.722371 | − | 0.722371i | ||||
\(178\) | −45.7189 | − | 288.658i | −0.0192515 | − | 0.121549i | ||||
\(179\) | 3342.20 | + | 1085.95i | 1.39557 | + | 0.453449i | 0.907757 | − | 0.419497i | \(-0.137793\pi\) |
0.487817 | + | 0.872946i | \(0.337793\pi\) | |||||||
\(180\) | −228.134 | − | 730.015i | −0.0944674 | − | 0.302289i | ||||
\(181\) | −2225.87 | + | 1617.19i | −0.914075 | + | 0.664115i | −0.942042 | − | 0.335494i | \(-0.891097\pi\) |
0.0279668 | + | 0.999609i | \(0.491097\pi\) | |||||||
\(182\) | 52.7067 | − | 332.777i | 0.0214664 | − | 0.135533i | ||||
\(183\) | 146.724 | − | 287.963i | 0.0592687 | − | 0.116321i | ||||
\(184\) | 530.401 | − | 1632.41i | 0.212509 | − | 0.654035i | ||||
\(185\) | 400.956 | + | 2730.31i | 0.159345 | + | 1.08506i | ||||
\(186\) | − | 16.3667i | − | 0.00645198i | ||||||
\(187\) | −674.638 | + | 3477.06i | −0.263821 | + | 1.35972i | ||||
\(188\) | 773.973 | − | 773.973i | 0.300254 | − | 0.300254i | ||||
\(189\) | 470.305 | + | 341.697i | 0.181004 | + | 0.131507i | ||||
\(190\) | 298.044 | + | 601.608i | 0.113802 | + | 0.229712i | ||||
\(191\) | −1105.64 | − | 3402.82i | −0.418856 | − | 1.28911i | −0.908756 | − | 0.417329i | \(-0.862966\pi\) |
0.489899 | − | 0.871779i | \(-0.337034\pi\) | |||||||
\(192\) | 1081.73 | + | 171.329i | 0.406600 | + | 0.0643991i | ||||
\(193\) | 4658.37 | + | 737.813i | 1.73739 | + | 0.275176i | 0.943136 | − | 0.332407i | \(-0.107861\pi\) |
0.794256 | + | 0.607583i | \(0.207861\pi\) | |||||||
\(194\) | −61.7013 | − | 189.897i | −0.0228345 | − | 0.0702774i | ||||
\(195\) | 265.644 | − | 787.271i | 0.0975548 | − | 0.289116i | ||||
\(196\) | −741.431 | − | 538.681i | −0.270201 | − | 0.196312i | ||||
\(197\) | −1190.27 | + | 1190.27i | −0.430474 | + | 0.430474i | −0.888790 | − | 0.458316i | \(-0.848453\pi\) |
0.458316 | + | 0.888790i | \(0.348453\pi\) | |||||||
\(198\) | −100.496 | + | 181.445i | −0.0360703 | + | 0.0651250i | ||||
\(199\) | − | 4177.99i | − | 1.48829i | −0.668018 | − | 0.744145i | \(-0.732857\pi\) | ||
0.668018 | − | 0.744145i | \(-0.267143\pi\) | |||||||
\(200\) | −165.243 | − | 1220.76i | −0.0584223 | − | 0.431605i | ||||
\(201\) | 40.8117 | − | 125.606i | 0.0143216 | − | 0.0440773i | ||||
\(202\) | 400.093 | − | 785.228i | 0.139359 | − | 0.273507i | ||||
\(203\) | 346.929 | − | 2190.42i | 0.119949 | − | 0.757327i | ||||
\(204\) | 1791.00 | − | 1301.24i | 0.614681 | − | 0.446592i | ||||
\(205\) | 1611.30 | − | 503.541i | 0.548965 | − | 0.171555i | ||||
\(206\) | 788.815 | + | 256.301i | 0.266793 | + | 0.0866863i | ||||
\(207\) | 245.207 | + | 1548.18i | 0.0823336 | + | 0.519834i | ||||
\(208\) | 956.088 | + | 956.088i | 0.318715 | + | 0.318715i | ||||
\(209\) | −1185.05 | + | 3259.38i | −0.392210 | + | 1.07874i | ||||
\(210\) | 318.921 | + | 326.191i | 0.104798 | + | 0.107187i | ||||
\(211\) | −501.248 | + | 689.908i | −0.163542 | + | 0.225096i | −0.882921 | − | 0.469522i | \(-0.844426\pi\) |
0.719379 | + | 0.694618i | \(0.244426\pi\) | |||||||
\(212\) | −2679.75 | + | 1365.40i | −0.868140 | + | 0.442340i | ||||
\(213\) | −45.7223 | − | 23.2967i | −0.0147082 | − | 0.00749419i | ||||
\(214\) | 25.0869 | + | 34.5292i | 0.00801359 | + | 0.0110298i | ||||
\(215\) | −5357.85 | − | 910.602i | −1.69955 | − | 0.288849i | ||||
\(216\) | 253.066 | − | 82.2261i | 0.0797174 | − | 0.0259018i | ||||
\(217\) | −84.4177 | − | 165.679i | −0.0264085 | − | 0.0518296i | ||||
\(218\) | −1162.55 | + | 184.130i | −0.361183 | + | 0.0572058i | ||||
\(219\) | 338.730 | 0.104517 | ||||||||
\(220\) | 1935.35 | − | 2422.12i | 0.593097 | − | 0.742268i | ||||
\(221\) | 2404.98 | 0.732019 | ||||||||
\(222\) | −462.002 | + | 73.1739i | −0.139674 | + | 0.0221221i | ||||
\(223\) | 2083.44 | + | 4088.99i | 0.625640 | + | 1.22789i | 0.958549 | + | 0.284929i | \(0.0919701\pi\) |
−0.332908 | + | 0.942959i | \(0.608030\pi\) | |||||||
\(224\) | −2320.46 | + | 753.965i | −0.692154 | + | 0.224895i | ||||
\(225\) | 640.581 | + | 924.814i | 0.189802 | + | 0.274019i | ||||
\(226\) | 102.556 | + | 141.156i | 0.0301854 | + | 0.0415466i | ||||
\(227\) | −787.953 | − | 401.482i | −0.230389 | − | 0.117389i | 0.334986 | − | 0.942223i | \(-0.391268\pi\) |
−0.565375 | + | 0.824834i | \(0.691268\pi\) | |||||||
\(228\) | 1931.42 | − | 984.106i | 0.561014 | − | 0.285851i | ||||
\(229\) | 1052.83 | − | 1449.10i | 0.303812 | − | 0.418162i | −0.629627 | − | 0.776898i | \(-0.716792\pi\) |
0.933439 | + | 0.358736i | \(0.116792\pi\) | |||||||
\(230\) | −13.8604 | + | 1229.98i | −0.00397359 | + | 0.352619i | ||||
\(231\) | −81.4353 | + | 2355.10i | −0.0231950 | + | 0.670797i | ||||
\(232\) | −717.791 | − | 717.791i | −0.203126 | − | 0.203126i | ||||
\(233\) | 832.384 | + | 5255.46i | 0.234040 | + | 1.47767i | 0.772498 | + | 0.635017i | \(0.219007\pi\) |
−0.538458 | + | 0.842652i | \(0.680993\pi\) | |||||||
\(234\) | 133.944 | + | 43.5211i | 0.0374197 | + | 0.0121584i | ||||
\(235\) | −747.046 | + | 1426.20i | −0.207370 | + | 0.395894i | ||||
\(236\) | −4931.05 | + | 3582.62i | −1.36010 | + | 0.988172i | ||||
\(237\) | 283.890 | − | 1792.41i | 0.0778086 | − | 0.491264i | ||||
\(238\) | −599.468 | + | 1176.52i | −0.163268 | + | 0.320431i | ||||
\(239\) | −1228.28 | + | 3780.25i | −0.332429 | + | 1.02311i | 0.635545 | + | 0.772064i | \(0.280775\pi\) |
−0.967975 | + | 0.251048i | \(0.919225\pi\) | |||||||
\(240\) | −1811.31 | + | 265.998i | −0.487165 | + | 0.0715419i | ||||
\(241\) | 6668.49i | 1.78239i | 0.453622 | + | 0.891194i | \(0.350132\pi\) | ||||
−0.453622 | + | 0.891194i | \(0.649868\pi\) | |||||||
\(242\) | −837.546 | + | 73.8533i | −0.222477 | + | 0.0196176i | ||||
\(243\) | −171.827 | + | 171.827i | −0.0453609 | + | 0.0453609i | ||||
\(244\) | −662.460 | − | 481.306i | −0.173810 | − | 0.126280i | ||||
\(245\) | 1277.28 | + | 430.985i | 0.333071 | + | 0.112386i | ||||
\(246\) | 88.4241 | + | 272.141i | 0.0229175 | + | 0.0705330i | ||||
\(247\) | 2325.89 | + | 368.384i | 0.599160 | + | 0.0948977i | ||||
\(248\) | −84.0644 | − | 13.3145i | −0.0215246 | − | 0.00340916i | ||||
\(249\) | −289.308 | − | 890.398i | −0.0736311 | − | 0.226613i | ||||
\(250\) | 373.982 | + | 799.705i | 0.0946108 | + | 0.202311i | ||||
\(251\) | −1709.80 | − | 1242.24i | −0.429967 | − | 0.312390i | 0.351668 | − | 0.936125i | \(-0.385614\pi\) |
−0.781636 | + | 0.623735i | \(0.785614\pi\) | |||||||
\(252\) | 1041.49 | − | 1041.49i | 0.260347 | − | 0.260347i | ||||
\(253\) | −4645.54 | + | 4335.00i | −1.15440 | + | 1.07723i | ||||
\(254\) | − | 857.200i | − | 0.211754i | ||||||
\(255\) | −1943.57 | + | 2612.67i | −0.477298 | + | 0.641614i | ||||
\(256\) | 680.520 | − | 2094.43i | 0.166143 | − | 0.511334i | ||||
\(257\) | 3223.00 | − | 6325.48i | 0.782276 | − | 1.53530i | −0.0611935 | − | 0.998126i | \(-0.519491\pi\) |
0.843469 | − | 0.537177i | \(-0.180509\pi\) | |||||||
\(258\) | 144.107 | − | 909.856i | 0.0347741 | − | 0.219555i | ||||
\(259\) | −4299.38 | + | 3123.68i | −1.03147 | + | 0.749406i | ||||
\(260\) | −1864.82 | − | 976.799i | −0.444814 | − | 0.232994i | ||||
\(261\) | 881.654 | + | 286.467i | 0.209092 | + | 0.0679381i | ||||
\(262\) | 23.6379 | + | 149.244i | 0.00557388 | + | 0.0351921i | ||||
\(263\) | −765.995 | − | 765.995i | −0.179594 | − | 0.179594i | 0.611585 | − | 0.791179i | \(-0.290532\pi\) |
−0.791179 | + | 0.611585i | \(0.790532\pi\) | |||||||
\(264\) | 850.202 | + | 663.783i | 0.198206 | + | 0.154746i | ||||
\(265\) | 3163.18 | − | 3092.68i | 0.733255 | − | 0.716913i | ||||
\(266\) | −759.969 | + | 1046.01i | −0.175175 | + | 0.241108i | ||||
\(267\) | 1236.67 | − | 630.113i | 0.283456 | − | 0.144428i | ||||
\(268\) | −298.147 | − | 151.913i | −0.0679561 | − | 0.0346253i | ||||
\(269\) | −2735.47 | − | 3765.05i | −0.620016 | − | 0.853379i | 0.377338 | − | 0.926076i | \(-0.376839\pi\) |
−0.997354 | + | 0.0726967i | \(0.976839\pi\) | |||||||
\(270\) | −155.526 | + | 110.340i | −0.0350556 | + | 0.0248707i | ||||
\(271\) | 5827.23 | − | 1893.38i | 1.30620 | − | 0.424409i | 0.428463 | − | 0.903559i | \(-0.359055\pi\) |
0.877733 | + | 0.479151i | \(0.159055\pi\) | |||||||
\(272\) | −2405.72 | − | 4721.49i | −0.536280 | − | 1.05251i | ||||
\(273\) | 1580.38 | − | 250.308i | 0.350363 | − | 0.0554920i | ||||
\(274\) | −1416.70 | −0.312357 | ||||||||
\(275\) | −1654.45 | + | 4249.67i | −0.362790 | + | 0.931871i | ||||
\(276\) | 3971.43 | 0.866131 | ||||||||
\(277\) | −2228.40 | + | 352.944i | −0.483364 | + | 0.0765573i | −0.393361 | − | 0.919384i | \(-0.628688\pi\) |
−0.0900029 | + | 0.995942i | \(0.528688\pi\) | |||||||
\(278\) | 78.2906 | + | 153.654i | 0.0168905 | + | 0.0331495i | ||||
\(279\) | 73.9226 | − | 24.0189i | 0.0158625 | − | 0.00515403i | ||||
\(280\) | 1934.86 | − | 1372.71i | 0.412963 | − | 0.292983i | ||||
\(281\) | 568.300 | + | 782.198i | 0.120648 | + | 0.166057i | 0.865069 | − | 0.501653i | \(-0.167275\pi\) |
−0.744421 | + | 0.667710i | \(0.767275\pi\) | |||||||
\(282\) | −243.158 | − | 123.895i | −0.0513469 | − | 0.0261625i | ||||
\(283\) | −6045.37 | + | 3080.27i | −1.26982 | + | 0.647007i | −0.953428 | − | 0.301620i | \(-0.902473\pi\) |
−0.316395 | + | 0.948628i | \(0.602473\pi\) | |||||||
\(284\) | −76.4210 | + | 105.184i | −0.0159674 | + | 0.0219773i | ||||
\(285\) | −2279.85 | + | 2229.04i | −0.473848 | + | 0.463288i | ||||
\(286\) | 157.551 | + | 548.736i | 0.0325740 | + | 0.113453i | ||||
\(287\) | 2298.78 | + | 2298.78i | 0.472797 | + | 0.472797i | ||||
\(288\) | −159.546 | − | 1007.33i | −0.0326435 | − | 0.206103i | ||||
\(289\) | −4291.47 | − | 1394.38i | −0.873494 | − | 0.283815i | ||||
\(290\) | 644.421 | + | 337.549i | 0.130489 | + | 0.0683502i | ||||
\(291\) | 767.146 | − | 557.365i | 0.154539 | − | 0.112279i | ||||
\(292\) | 134.256 | − | 847.657i | 0.0269066 | − | 0.169882i | ||||
\(293\) | 1368.01 | − | 2684.87i | 0.272764 | − | 0.535329i | −0.713470 | − | 0.700686i | \(-0.752877\pi\) |
0.986234 | + | 0.165357i | \(0.0528775\pi\) | |||||||
\(294\) | −70.6093 | + | 217.313i | −0.0140069 | + | 0.0431087i | ||||
\(295\) | 5351.12 | − | 7193.31i | 1.05612 | − | 1.41970i | ||||
\(296\) | 2432.50i | 0.477657i | ||||||||
\(297\) | −967.004 | − | 187.623i | −0.188927 | − | 0.0366566i | ||||
\(298\) | 196.626 | − | 196.626i | 0.0382222 | − | 0.0382222i | ||||
\(299\) | 3490.42 | + | 2535.94i | 0.675105 | + | 0.490492i | ||||
\(300\) | 2568.20 | − | 1236.48i | 0.494251 | − | 0.237960i | ||||
\(301\) | −3234.15 | − | 9953.68i | −0.619313 | − | 1.90605i | ||||
\(302\) | 2096.80 | + | 332.100i | 0.399527 | + | 0.0632789i | ||||
\(303\) | 4133.74 | + | 654.720i | 0.783753 | + | 0.124134i | ||||
\(304\) | −1603.39 | − | 4934.72i | −0.302502 | − | 0.931005i | ||||
\(305\) | 1141.23 | + | 385.080i | 0.214252 | + | 0.0722938i | ||||
\(306\) | −446.541 | − | 324.431i | −0.0834217 | − | 0.0606094i | ||||
\(307\) | 289.879 | − | 289.879i | 0.0538901 | − | 0.0538901i | −0.679648 | − | 0.733538i | \(-0.737868\pi\) |
0.733538 | + | 0.679648i | \(0.237868\pi\) | |||||||
\(308\) | 5861.26 | + | 1137.23i | 1.08434 | + | 0.210389i | ||||
\(309\) | 3938.92i | 0.725170i | ||||||||
\(310\) | 60.3480 | − | 8.86232i | 0.0110566 | − | 0.00162370i | ||||
\(311\) | 3180.44 | − | 9788.39i | 0.579892 | − | 1.78472i | −0.0389916 | − | 0.999240i | \(-0.512415\pi\) |
0.618883 | − | 0.785483i | \(-0.287585\pi\) | |||||||
\(312\) | 332.502 | − | 652.572i | 0.0603341 | − | 0.118412i | ||||
\(313\) | −724.923 | + | 4576.99i | −0.130911 | + | 0.826539i | 0.831616 | + | 0.555351i | \(0.187416\pi\) |
−0.962527 | + | 0.271187i | \(0.912584\pi\) | |||||||
\(314\) | 979.977 | − | 711.995i | 0.176125 | − | 0.127962i | ||||
\(315\) | −1005.25 | + | 1919.15i | −0.179808 | + | 0.343275i | ||||
\(316\) | −4372.91 | − | 1420.84i | −0.778467 | − | 0.252939i | ||||
\(317\) | 763.386 | + | 4819.83i | 0.135256 | + | 0.853970i | 0.958252 | + | 0.285924i | \(0.0923005\pi\) |
−0.822997 | + | 0.568046i | \(0.807699\pi\) | |||||||
\(318\) | 530.229 | + | 530.229i | 0.0935025 | + | 0.0935025i | ||||
\(319\) | 1037.04 | + | 3611.91i | 0.182015 | + | 0.633945i | ||||
\(320\) | −45.9920 | + | 4081.36i | −0.00803447 | + | 0.712985i | ||||
\(321\) | −119.140 | + | 163.982i | −0.0207156 | + | 0.0285126i | ||||
\(322\) | −2110.62 | + | 1075.41i | −0.365280 | + | 0.186120i | ||||
\(323\) | −8223.09 | − | 4189.87i | −1.41655 | − | 0.721767i | ||||
\(324\) | 361.886 | + | 498.093i | 0.0620518 | + | 0.0854069i | ||||
\(325\) | 3046.70 | + | 553.198i | 0.520001 | + | 0.0944181i | ||||
\(326\) | 2364.20 | − | 768.176i | 0.401660 | − | 0.130507i | ||||
\(327\) | −2537.74 | − | 4980.60i | −0.429167 | − | 0.842287i | ||||
\(328\) | 1469.73 | − | 232.783i | 0.247416 | − | 0.0391868i | ||||
\(329\) | −3100.50 | −0.519562 | ||||||||
\(330\) | −723.448 | − | 272.301i | −0.120680 | − | 0.0454233i | ||||
\(331\) | 6623.41 | 1.09987 | 0.549933 | − | 0.835209i | \(-0.314653\pi\) | ||||
0.549933 | + | 0.835209i | \(0.314653\pi\) | |||||||
\(332\) | −2342.85 | + | 371.071i | −0.387291 | + | 0.0613408i | ||||
\(333\) | −1008.51 | − | 1979.31i | −0.165964 | − | 0.325722i | ||||
\(334\) | 819.434 | − | 266.250i | 0.134244 | − | 0.0436185i | ||||
\(335\) | 485.236 | + | 82.4691i | 0.0791382 | + | 0.0134500i | ||||
\(336\) | −2072.28 | − | 2852.25i | −0.336465 | − | 0.463104i | ||||
\(337\) | 7402.04 | + | 3771.53i | 1.19648 | + | 0.609638i | 0.934682 | − | 0.355484i | \(-0.115684\pi\) |
0.261800 | + | 0.965122i | \(0.415684\pi\) | |||||||
\(338\) | −891.187 | + | 454.082i | −0.143415 | + | 0.0730735i | ||||
\(339\) | −487.043 | + | 670.358i | −0.0780312 | + | 0.107401i | ||||
\(340\) | 5767.75 | + | 5899.23i | 0.920001 | + | 0.940972i | ||||
\(341\) | 248.351 | + | 193.896i | 0.0394397 | + | 0.0307920i | ||||
\(342\) | −382.161 | − | 382.161i | −0.0604237 | − | 0.0604237i | ||||
\(343\) | −749.171 | − | 4730.08i | −0.117934 | − | 0.744607i | ||||
\(344\) | −4556.06 | − | 1480.35i | −0.714088 | − | 0.232021i | ||||
\(345\) | −5575.71 | + | 1742.45i | −0.870105 | + | 0.271913i | ||||
\(346\) | 1600.04 | − | 1162.50i | 0.248609 | − | 0.180625i | ||||
\(347\) | 668.842 | − | 4222.90i | 0.103474 | − | 0.653307i | −0.880371 | − | 0.474285i | \(-0.842707\pi\) |
0.983845 | − | 0.179022i | \(-0.0572933\pi\) | |||||||
\(348\) | 1066.31 | − | 2092.76i | 0.164254 | − | 0.322367i | ||||
\(349\) | −2655.83 | + | 8173.81i | −0.407345 | + | 1.25368i | 0.511576 | + | 0.859238i | \(0.329062\pi\) |
−0.918921 | + | 0.394441i | \(0.870938\pi\) | |||||||
\(350\) | −1030.05 | + | 1352.56i | −0.157310 | + | 0.206564i | ||||
\(351\) | 668.846i | 0.101710i | ||||||||
\(352\) | 3022.65 | − | 2820.60i | 0.457693 | − | 0.427098i | ||||
\(353\) | 1489.08 | − | 1489.08i | 0.224521 | − | 0.224521i | −0.585878 | − | 0.810399i | \(-0.699250\pi\) |
0.810399 | + | 0.585878i | \(0.199250\pi\) | |||||||
\(354\) | 1229.43 | + | 893.237i | 0.184587 | + | 0.134110i | ||||
\(355\) | 61.1424 | − | 181.203i | 0.00914113 | − | 0.0270909i | ||||
\(356\) | −1086.68 | − | 3344.45i | −0.161780 | − | 0.497909i | ||||
\(357\) | −6193.67 | − | 980.980i | −0.918217 | − | 0.145431i | ||||
\(358\) | −2192.60 | − | 347.273i | −0.323694 | − | 0.0512680i | ||||
\(359\) | 1710.18 | + | 5263.40i | 0.251421 | + | 0.773793i | 0.994514 | + | 0.104605i | \(0.0333579\pi\) |
−0.743093 | + | 0.669188i | \(0.766642\pi\) | |||||||
\(360\) | 440.218 | + | 888.589i | 0.0644487 | + | 0.130091i | ||||
\(361\) | −1761.83 | − | 1280.04i | −0.256864 | − | 0.186623i | ||||
\(362\) | 1228.97 | − | 1228.97i | 0.178434 | − | 0.178434i | ||||
\(363\) | −1562.70 | − | 3674.51i | −0.225952 | − | 0.531299i | ||||
\(364\) | − | 4054.05i | − | 0.583763i | ||||||
\(365\) | 183.417 | + | 1248.98i | 0.0263026 | + | 0.179108i | ||||
\(366\) | −63.0885 | + | 194.167i | −0.00901008 | + | 0.0277302i | ||||
\(367\) | −1428.68 | + | 2803.95i | −0.203206 | + | 0.398815i | −0.970009 | − | 0.243068i | \(-0.921846\pi\) |
0.766803 | + | 0.641882i | \(0.221846\pi\) | |||||||
\(368\) | 1487.10 | − | 9389.18i | 0.210653 | − | 1.33001i | ||||
\(369\) | −1099.40 | + | 798.759i | −0.155101 | + | 0.112688i | ||||
\(370\) | −519.976 | − | 1663.89i | −0.0730601 | − | 0.233787i | ||||
\(371\) | 8102.32 | + | 2632.60i | 1.13383 | + | 0.368404i | ||||
\(372\) | −30.8071 | − | 194.508i | −0.00429374 | − | 0.0271096i | ||||
\(373\) | 537.846 | + | 537.846i | 0.0746612 | + | 0.0746612i | 0.743451 | − | 0.668790i | \(-0.233188\pi\) |
−0.668790 | + | 0.743451i | \(0.733188\pi\) | |||||||
\(374\) | 77.3203 | − | 2236.10i | 0.0106902 | − | 0.309160i | ||||
\(375\) | −3063.14 | + | 2862.74i | −0.421813 | + | 0.394217i | ||||
\(376\) | −834.172 | + | 1148.14i | −0.114413 | + | 0.157475i | ||||
\(377\) | 2273.49 | − | 1158.40i | 0.310585 | − | 0.158251i | ||||
\(378\) | −327.202 | − | 166.718i | −0.0445224 | − | 0.0226853i | ||||
\(379\) | −3429.08 | − | 4719.73i | −0.464750 | − | 0.639673i | 0.510736 | − | 0.859738i | \(-0.329373\pi\) |
−0.975485 | + | 0.220065i | \(0.929373\pi\) | |||||||
\(380\) | 4674.46 | + | 6588.71i | 0.631039 | + | 0.889457i | ||||
\(381\) | 3871.66 | − | 1257.98i | 0.520606 | − | 0.169155i | ||||
\(382\) | 1026.11 | + | 2013.85i | 0.137435 | + | 0.269731i | ||||
\(383\) | 7454.19 | − | 1180.63i | 0.994495 | − | 0.157512i | 0.362084 | − | 0.932146i | \(-0.382065\pi\) |
0.632411 | + | 0.774633i | \(0.282065\pi\) | |||||||
\(384\) | −3411.55 | −0.453373 | ||||||||
\(385\) | −8727.90 | + | 974.976i | −1.15536 | + | 0.129063i | ||||
\(386\) | −2979.38 | −0.392867 | ||||||||
\(387\) | 4320.97 | − | 684.375i | 0.567564 | − | 0.0898933i | ||||
\(388\) | −1090.72 | − | 2140.66i | −0.142714 | − | 0.280092i | ||||
\(389\) | −5697.91 | + | 1851.36i | −0.742661 | + | 0.241305i | −0.655820 | − | 0.754917i | \(-0.727677\pi\) |
−0.0868409 | + | 0.996222i | \(0.527677\pi\) | |||||||
\(390\) | −87.9440 | + | 517.450i | −0.0114185 | + | 0.0671848i | ||||
\(391\) | −9938.59 | − | 13679.3i | −1.28546 | − | 1.76929i | ||||
\(392\) | 1058.74 | + | 539.456i | 0.136415 | + | 0.0695067i | ||||
\(393\) | −639.391 | + | 325.786i | −0.0820687 | + | 0.0418161i | ||||
\(394\) | 625.018 | − | 860.264i | 0.0799187 | − | 0.109999i | ||||
\(395\) | 6762.76 | + | 76.2080i | 0.861446 | + | 0.00970744i | ||||
\(396\) | −852.791 | + | 2345.52i | −0.108218 | + | 0.297644i | ||||
\(397\) | 1853.12 | + | 1853.12i | 0.234271 | + | 0.234271i | 0.814473 | − | 0.580202i | \(-0.197026\pi\) |
−0.580202 | + | 0.814473i | \(0.697026\pi\) | |||||||
\(398\) | 412.869 | + | 2606.75i | 0.0519981 | + | 0.328303i | ||||
\(399\) | −5839.72 | − | 1897.44i | −0.732711 | − | 0.238072i | ||||
\(400\) | −1961.59 | − | 6534.69i | −0.245199 | − | 0.816837i | ||||
\(401\) | 3103.05 | − | 2254.50i | 0.386432 | − | 0.280759i | −0.377560 | − | 0.925985i | \(-0.623237\pi\) |
0.763992 | + | 0.645226i | \(0.223237\pi\) | |||||||
\(402\) | −13.0511 | + | 82.4016i | −0.00161923 | + | 0.0102234i | ||||
\(403\) | 97.1265 | − | 190.622i | 0.0120055 | − | 0.0235621i | ||||
\(404\) | 3276.82 | − | 10085.0i | 0.403534 | − | 1.24195i | ||||
\(405\) | −726.607 | − | 540.525i | −0.0891492 | − | 0.0663182i | ||||
\(406\) | 1400.94i | 0.171250i | ||||||||
\(407\) | 4362.97 | − | 7877.36i | 0.531362 | − | 0.959376i | ||||
\(408\) | −2029.64 | + | 2029.64i | −0.246279 | + | 0.246279i | ||||
\(409\) | 3463.11 | + | 2516.09i | 0.418679 | + | 0.304188i | 0.777106 | − | 0.629370i | \(-0.216687\pi\) |
−0.358427 | + | 0.933558i | \(0.616687\pi\) | |||||||
\(410\) | −955.569 | + | 473.400i | −0.115103 | + | 0.0570234i | ||||
\(411\) | −2079.07 | − | 6398.70i | −0.249520 | − | 0.767944i | ||||
\(412\) | 9856.98 | + | 1561.19i | 1.17869 | + | 0.186686i | ||||
\(413\) | 17052.7 | + | 2700.88i | 2.03174 | + | 0.321795i | ||||
\(414\) | −305.982 | − | 941.715i | −0.0363241 | − | 0.111794i | ||||
\(415\) | 3126.45 | − | 1548.88i | 0.369810 | − | 0.183209i | ||||
\(416\) | −2271.07 | − | 1650.03i | −0.267664 | − | 0.194469i | ||||
\(417\) | −579.104 | + | 579.104i | −0.0680068 | + | 0.0680068i | ||||
\(418\) | 417.293 | − | 2150.72i | 0.0488289 | − | 0.251663i | ||||
\(419\) | 12719.9i | 1.48307i | 0.670914 | + | 0.741535i | \(0.265902\pi\) | ||||
−0.670914 | + | 0.741535i | \(0.734098\pi\) | |||||||
\(420\) | 4404.15 | + | 3276.26i | 0.511668 | + | 0.380631i | ||||
\(421\) | −3331.03 | + | 10251.9i | −0.385616 | + | 1.18681i | 0.550416 | + | 0.834891i | \(0.314469\pi\) |
−0.936032 | + | 0.351914i | \(0.885531\pi\) | |||||||
\(422\) | 244.564 | − | 479.985i | 0.0282114 | − | 0.0553680i | ||||
\(423\) | 202.744 | − | 1280.08i | 0.0233044 | − | 0.147138i | ||||
\(424\) | 3154.76 | − | 2292.07i | 0.361341 | − | 0.262530i | ||||
\(425\) | −10685.9 | − | 5751.67i | −1.21963 | − | 0.656464i | ||||
\(426\) | 30.8295 | + | 10.0171i | 0.00350632 | + | 0.00113927i | ||||
\(427\) | 362.848 | + | 2290.93i | 0.0411229 | + | 0.259639i | ||||
\(428\) | 363.136 | + | 363.136i | 0.0410113 | + | 0.0410113i | ||||
\(429\) | −2247.23 | + | 1516.89i | −0.252907 | + | 0.170714i | ||||
\(430\) | 3432.88 | + | 38.6844i | 0.384996 | + | 0.00433844i | ||||
\(431\) | 1230.84 | − | 1694.10i | 0.137558 | − | 0.189332i | −0.734680 | − | 0.678413i | \(-0.762668\pi\) |
0.872238 | + | 0.489081i | \(0.162668\pi\) | |||||||
\(432\) | 1313.09 | − | 669.053i | 0.146241 | − | 0.0745135i | ||||
\(433\) | 8922.66 | + | 4546.32i | 0.990291 | + | 0.504578i | 0.872581 | − | 0.488470i | \(-0.162445\pi\) |
0.117710 | + | 0.993048i | \(0.462445\pi\) | |||||||
\(434\) | 69.0428 | + | 95.0292i | 0.00763631 | + | 0.0105105i | ||||
\(435\) | −578.869 | + | 3405.98i | −0.0638037 | + | 0.375412i | ||||
\(436\) | −13469.6 | + | 4376.53i | −1.47953 | + | 0.480729i | ||||
\(437\) | −7516.41 | − | 14751.8i | −0.822789 | − | 1.61481i | ||||
\(438\) | −211.342 | + | 33.4733i | −0.0230555 | + | 0.00365164i | ||||
\(439\) | −10145.4 | −1.10299 | −0.551494 | − | 0.834179i | \(-0.685942\pi\) | ||||
−0.551494 | + | 0.834179i | \(0.685942\pi\) | |||||||
\(440\) | −1987.15 | + | 3494.32i | −0.215304 | + | 0.378603i | ||||
\(441\) | −1085.15 | −0.117174 | ||||||||
\(442\) | −1500.53 | + | 237.660i | −0.161477 | + | 0.0255754i | ||||
\(443\) | 2344.36 | + | 4601.07i | 0.251431 | + | 0.493462i | 0.981879 | − | 0.189506i | \(-0.0606888\pi\) |
−0.730448 | + | 0.682968i | \(0.760689\pi\) | |||||||
\(444\) | −5352.86 | + | 1739.25i | −0.572152 | + | 0.185903i | ||||
\(445\) | 2993.01 | + | 4218.68i | 0.318836 | + | 0.449404i | ||||
\(446\) | −1703.99 | − | 2345.34i | −0.180911 | − | 0.249002i | ||||
\(447\) | 1176.64 | + | 599.530i | 0.124504 | + | 0.0634380i | ||||
\(448\) | −7003.53 | + | 3568.48i | −0.738585 | + | 0.376328i | ||||
\(449\) | 6308.18 | − | 8682.46i | 0.663032 | − | 0.912585i | −0.336545 | − | 0.941667i | \(-0.609259\pi\) |
0.999577 | + | 0.0290825i | \(0.00925855\pi\) | |||||||
\(450\) | −491.065 | − | 513.713i | −0.0514422 | − | 0.0538148i | ||||
\(451\) | −5177.06 | − | 1882.29i | −0.540528 | − | 0.196527i | ||||
\(452\) | 1484.50 | + | 1484.50i | 0.154480 | + | 0.154480i | ||||
\(453\) | 1577.17 | + | 9957.85i | 0.163580 | + | 1.03280i | ||||
\(454\) | 531.298 | + | 172.629i | 0.0549230 | + | 0.0178456i | ||||
\(455\) | 1778.69 | + | 5691.70i | 0.183267 | + | 0.586442i | ||||
\(456\) | −2273.78 | + | 1652.00i | −0.233508 | + | 0.169653i | ||||
\(457\) | −1955.08 | + | 12343.9i | −0.200120 | + | 1.26351i | 0.659159 | + | 0.752003i | \(0.270912\pi\) |
−0.859280 | + | 0.511506i | \(0.829088\pi\) | |||||||
\(458\) | −513.688 | + | 1008.17i | −0.0524085 | + | 0.102857i | ||||
\(459\) | 810.017 | − | 2492.98i | 0.0823712 | − | 0.253512i | ||||
\(460\) | 2150.46 | + | 14643.6i | 0.217969 | + | 1.48426i | ||||
\(461\) | 8538.31i | 0.862622i | 0.902203 | + | 0.431311i | \(0.141949\pi\) | ||||
−0.902203 | + | 0.431311i | \(0.858051\pi\) | |||||||
\(462\) | −181.922 | − | 1477.45i | −0.0183198 | − | 0.148782i | ||||
\(463\) | −1982.98 | + | 1982.98i | −0.199043 | + | 0.199043i | −0.799590 | − | 0.600547i | \(-0.794950\pi\) |
0.600547 | + | 0.799590i | \(0.294950\pi\) | |||||||
\(464\) | −4548.38 | − | 3304.59i | −0.455072 | − | 0.330629i | ||||
\(465\) | 128.591 | + | 259.564i | 0.0128242 | + | 0.0258860i | ||||
\(466\) | −1038.69 | − | 3196.76i | −0.103254 | − | 0.317783i | ||||
\(467\) | −8960.43 | − | 1419.19i | −0.887878 | − | 0.140626i | −0.304197 | − | 0.952609i | \(-0.598388\pi\) |
−0.583681 | + | 0.811983i | \(0.698388\pi\) | |||||||
\(468\) | 1673.76 | + | 265.097i | 0.165320 | + | 0.0261840i | ||||
\(469\) | 292.902 | + | 901.460i | 0.0288379 | + | 0.0887538i | ||||
\(470\) | 325.164 | − | 963.666i | 0.0319121 | − | 0.0945757i | ||||
\(471\) | 4653.98 | + | 3381.32i | 0.455295 | + | 0.330791i | ||||
\(472\) | 5588.08 | − | 5588.08i | 0.544941 | − | 0.544941i | ||||
\(473\) | 12099.0 | + | 12965.7i | 1.17614 | + | 1.26039i | ||||
\(474\) | 1146.38i | 0.111087i | ||||||||
\(475\) | −9453.49 | − | 7199.35i | −0.913170 | − | 0.695429i | ||||
\(476\) | −4909.72 | + | 15110.6i | −0.472766 | + | 1.45503i | ||||
\(477\) | −1616.72 | + | 3172.99i | −0.155187 | + | 0.304572i | ||||
\(478\) | 392.789 | − | 2479.97i | 0.0375852 | − | 0.237304i | ||||
\(479\) | −2625.86 | + | 1907.80i | −0.250477 | + | 0.181982i | −0.705938 | − | 0.708273i | \(-0.749474\pi\) |
0.455461 | + | 0.890256i | \(0.349474\pi\) | |||||||
\(480\) | 3627.88 | − | 1133.74i | 0.344977 | − | 0.107808i | ||||
\(481\) | −5815.12 | − | 1889.45i | −0.551241 | − | 0.179109i | ||||
\(482\) | −658.981 | − | 4160.64i | −0.0622734 | − | 0.393179i | ||||
\(483\) | −7954.68 | − | 7954.68i | −0.749380 | − | 0.749380i | ||||
\(484\) | −9814.68 | + | 2454.21i | −0.921739 | + | 0.230485i | ||||
\(485\) | 2470.53 | + | 2526.84i | 0.231301 | + | 0.236573i | ||||
\(486\) | 90.2272 | − | 124.187i | 0.00842138 | − | 0.0115910i | ||||
\(487\) | 9045.37 | − | 4608.85i | 0.841653 | − | 0.428844i | 0.0206631 | − | 0.999786i | \(-0.493422\pi\) |
0.820990 | + | 0.570943i | \(0.193422\pi\) | |||||||
\(488\) | 945.973 | + | 481.997i | 0.0877504 | + | 0.0447111i | ||||
\(489\) | 6939.14 | + | 9550.91i | 0.641715 | + | 0.883245i | ||||
\(490\) | −839.517 | − | 142.681i | −0.0773990 | − | 0.0131545i | ||||
\(491\) | 16471.6 | − | 5351.95i | 1.51396 | − | 0.491915i | 0.569906 | − | 0.821710i | \(-0.306980\pi\) |
0.944053 | + | 0.329795i | \(0.106980\pi\) | |||||||
\(492\) | 1563.11 | + | 3067.78i | 0.143233 | + | 0.281110i | ||||
\(493\) | −9876.83 | + | 1564.34i | −0.902292 | + | 0.142909i | ||||
\(494\) | −1487.58 | −0.135485 | ||||||||
\(495\) | 168.194 | − | 3667.16i | 0.0152723 | − | 0.332983i | ||||
\(496\) | −471.388 | −0.0426733 | ||||||||
\(497\) | 363.751 | − | 57.6125i | 0.0328299 | − | 0.00519975i | ||||
\(498\) | 268.496 | + | 526.952i | 0.0241598 | + | 0.0474163i | ||||
\(499\) | 7746.44 | − | 2516.97i | 0.694946 | − | 0.225802i | 0.0598189 | − | 0.998209i | \(-0.480948\pi\) |
0.635127 | + | 0.772408i | \(0.280948\pi\) | |||||||
\(500\) | 5949.81 | + | 8800.03i | 0.532167 | + | 0.787099i | ||||
\(501\) | 2405.11 | + | 3310.35i | 0.214476 | + | 0.295201i | ||||
\(502\) | 1189.55 | + | 606.105i | 0.105761 | + | 0.0538880i | ||||
\(503\) | −5886.78 | + | 2999.46i | −0.521826 | + | 0.265884i | −0.695003 | − | 0.719007i | \(-0.744597\pi\) |
0.173177 | + | 0.984891i | \(0.444597\pi\) | |||||||
\(504\) | −1122.49 | + | 1544.98i | −0.0992059 | + | 0.136545i | ||||
\(505\) | −175.754 | + | 15596.6i | −0.0154871 | + | 1.37433i | ||||
\(506\) | 2470.08 | − | 3163.79i | 0.217013 | − | 0.277960i | ||||
\(507\) | −3358.78 | − | 3358.78i | −0.294218 | − | 0.294218i | ||||
\(508\) | −1613.50 | − | 10187.3i | −0.140920 | − | 0.889737i | ||||
\(509\) | 804.194 | + | 261.299i | 0.0700300 | + | 0.0227541i | 0.343823 | − | 0.939035i | \(-0.388278\pi\) |
−0.273792 | + | 0.961789i | \(0.588278\pi\) | |||||||
\(510\) | 954.457 | − | 1822.17i | 0.0828708 | − | 0.158210i | ||||
\(511\) | −1966.75 | + | 1428.93i | −0.170262 | + | 0.123702i | ||||
\(512\) | −1640.78 | + | 10359.5i | −0.141627 | + | 0.894197i | ||||
\(513\) | 1165.24 | − | 2286.92i | 0.100286 | − | 0.196822i | ||||
\(514\) | −1385.82 | + | 4265.13i | −0.118922 | + | 0.366005i | ||||
\(515\) | −14523.7 | + | 2132.86i | −1.24270 | + | 0.182495i | ||||
\(516\) | − | 11084.3i | − | 0.945657i | ||||||
\(517\) | 4760.67 | − | 2221.92i | 0.404979 | − | 0.189014i | ||||
\(518\) | 2373.81 | − | 2373.81i | 0.201350 | − | 0.201350i | ||||
\(519\) | 7598.71 | + | 5520.79i | 0.642671 | + | 0.466928i | ||||
\(520\) | 2586.23 | + | 872.656i | 0.218103 | + | 0.0735932i | ||||
\(521\) | 5428.17 | + | 16706.2i | 0.456454 | + | 1.40482i | 0.869419 | + | 0.494075i | \(0.164493\pi\) |
−0.412965 | + | 0.910747i | \(0.635507\pi\) | |||||||
\(522\) | −578.395 | − | 91.6088i | −0.0484974 | − | 0.00768124i | ||||
\(523\) | −2314.96 | − | 366.654i | −0.193549 | − | 0.0306552i | 0.0589071 | − | 0.998263i | \(-0.481238\pi\) |
−0.252456 | + | 0.967608i | \(0.581238\pi\) | |||||||
\(524\) | 561.842 | + | 1729.17i | 0.0468401 | + | 0.144159i | ||||
\(525\) | −7620.67 | − | 2667.42i | −0.633511 | − | 0.221744i | ||||
\(526\) | 553.619 | + | 402.228i | 0.0458915 | + | 0.0333422i | ||||
\(527\) | −592.873 | + | 592.873i | −0.0490056 | + | 0.0490056i | ||||
\(528\) | 5225.91 | + | 2894.43i | 0.430736 | + | 0.238568i | ||||
\(529\) | − | 18166.0i | − | 1.49306i | ||||||
\(530\) | −1667.97 | + | 2242.19i | −0.136702 | + | 0.183763i | ||||
\(531\) | −2230.17 | + | 6863.77i | −0.182262 | + | 0.560946i | ||||
\(532\) | −7062.84 | + | 13861.6i | −0.575588 | + | 1.12965i | ||||
\(533\) | −585.126 | + | 3694.34i | −0.0475509 | + | 0.300225i | ||||
\(534\) | −709.320 | + | 515.351i | −0.0574818 | + | 0.0417629i | ||||
\(535\) | −669.150 | − | 350.502i | −0.0540746 | − | 0.0283243i | ||||
\(536\) | 412.621 | + | 134.069i | 0.0332510 | + | 0.0108039i | ||||
\(537\) | −1649.22 | − | 10412.8i | −0.132531 | − | 0.836769i | ||||
\(538\) | 2078.79 | + | 2078.79i | 0.166585 | + | 0.166585i | ||||
\(539\) | −2461.03 | − | 3645.93i | −0.196668 | − | 0.291357i | ||||
\(540\) | −1640.63 | + | 1604.07i | −0.130744 | + | 0.127830i | ||||
\(541\) | −1100.21 | + | 1514.31i | −0.0874341 | + | 0.120343i | −0.850493 | − | 0.525986i | \(-0.823696\pi\) |
0.763059 | + | 0.646329i | \(0.223696\pi\) | |||||||
\(542\) | −3448.65 | + | 1757.18i | −0.273307 | + | 0.139257i | ||||
\(543\) | 7354.35 | + | 3747.23i | 0.581225 | + | 0.296149i | ||||
\(544\) | 6466.62 | + | 8900.53i | 0.509658 | + | 0.701484i | ||||
\(545\) | 16990.5 | − | 12054.2i | 1.33540 | − | 0.947419i | ||||
\(546\) | −961.305 | + | 312.347i | −0.0753481 | + | 0.0244821i | ||||
\(547\) | 51.6979 | + | 101.463i | 0.00404103 | + | 0.00793097i | 0.893018 | − | 0.450021i | \(-0.148583\pi\) |
−0.888977 | + | 0.457951i | \(0.848583\pi\) | |||||||
\(548\) | −16836.5 | + | 2666.64i | −1.31245 | + | 0.207871i | ||||
\(549\) | −969.564 | −0.0753734 | ||||||||
\(550\) | 612.303 | − | 2814.97i | 0.0474704 | − | 0.218237i | ||||
\(551\) | −9791.64 | −0.757056 | ||||||||
\(552\) | −5085.84 | + | 805.518i | −0.392152 | + | 0.0621107i | ||||
\(553\) | 5912.91 | + | 11604.7i | 0.454688 | + | 0.892376i | ||||
\(554\) | 1355.48 | − | 440.422i | 0.103951 | − | 0.0337757i | ||||
\(555\) | 6752.08 | − | 4790.36i | 0.516414 | − | 0.366378i | ||||
\(556\) | 1219.66 | + | 1678.71i | 0.0930304 | + | 0.128045i | ||||
\(557\) | −4514.35 | − | 2300.18i | −0.343409 | − | 0.174976i | 0.273776 | − | 0.961793i | \(-0.411727\pi\) |
−0.617186 | + | 0.786818i | \(0.711727\pi\) | |||||||
\(558\) | −43.7486 | + | 22.2910i | −0.00331905 | + | 0.00169114i | ||||
\(559\) | 7077.83 | − | 9741.80i | 0.535528 | − | 0.737092i | ||||
\(560\) | 9394.80 | − | 9185.42i | 0.708934 | − | 0.693134i | ||||
\(561\) | 10213.1 | − | 2932.34i | 0.768623 | − | 0.220684i | ||||
\(562\) | −431.874 | − | 431.874i | −0.0324155 | − | 0.0324155i | ||||
\(563\) | −3133.79 | − | 19786.0i | −0.234589 | − | 1.48114i | −0.770814 | − | 0.637060i | \(-0.780150\pi\) |
0.536225 | − | 0.844075i | \(-0.319850\pi\) | |||||||
\(564\) | −3122.98 | − | 1014.72i | −0.233158 | − | 0.0757576i | ||||
\(565\) | −2735.49 | − | 1432.86i | −0.203687 | − | 0.106691i | ||||
\(566\) | 3467.47 | − | 2519.26i | 0.257506 | − | 0.187089i | ||||
\(567\) | 272.820 | − | 1722.52i | 0.0202070 | − | 0.127582i | ||||
\(568\) | 76.5308 | − | 150.200i | 0.00565345 | − | 0.0110955i | ||||
\(569\) | 1691.60 | − | 5206.22i | 0.124632 | − | 0.383579i | −0.869202 | − | 0.494458i | \(-0.835367\pi\) |
0.993834 | + | 0.110879i | \(0.0353667\pi\) | |||||||
\(570\) | 1202.18 | − | 1616.05i | 0.0883401 | − | 0.118752i | ||||
\(571\) | − | 26321.9i | − | 1.92913i | −0.263839 | − | 0.964567i | \(-0.584989\pi\) | ||
0.263839 | − | 0.964567i | \(-0.415011\pi\) | |||||||
\(572\) | 2905.27 | + | 6224.81i | 0.212370 | + | 0.455022i | ||||
\(573\) | −7589.95 | + | 7589.95i | −0.553359 | + | 0.553359i | ||||
\(574\) | −1661.43 | − | 1207.10i | −0.120813 | − | 0.0877761i | ||||
\(575\) | −9443.96 | − | 19615.4i | −0.684940 | − | 1.42264i | ||||
\(576\) | −1015.32 | − | 3124.83i | −0.0734462 | − | 0.226044i | ||||
\(577\) | −11524.4 | − | 1825.28i | −0.831484 | − | 0.131694i | −0.273841 | − | 0.961775i | \(-0.588294\pi\) |
−0.557643 | + | 0.830081i | \(0.688294\pi\) | |||||||
\(578\) | 2815.35 | + | 445.908i | 0.202601 | + | 0.0320888i | ||||
\(579\) | −4372.38 | − | 13456.8i | −0.313834 | − | 0.965881i | ||||
\(580\) | 8293.89 | + | 2798.56i | 0.593767 | + | 0.200351i | ||||
\(581\) | 5435.91 | + | 3949.42i | 0.388158 | + | 0.282013i | ||||
\(582\) | −423.563 | + | 423.563i | −0.0301671 | + | 0.0301671i | ||||
\(583\) | −14327.4 | + | 1764.15i | −1.01780 | + | 0.125324i | ||||
\(584\) | 1112.75i | 0.0788455i | ||||||||
\(585\) | −2466.19 | + | 362.169i | −0.174298 | + | 0.0255963i | ||||
\(586\) | −588.216 | + | 1810.34i | −0.0414658 | + | 0.127619i | ||||
\(587\) | 6856.18 | − | 13456.0i | 0.482087 | − | 0.946148i | −0.514002 | − | 0.857789i | \(-0.671838\pi\) |
0.996089 | − | 0.0883592i | \(-0.0281623\pi\) | |||||||
\(588\) | −430.098 | + | 2715.53i | −0.0301648 | + | 0.190453i | ||||
\(589\) | −664.190 | + | 482.562i | −0.0464643 | + | 0.0337583i | ||||
\(590\) | −2627.85 | + | 5016.89i | −0.183368 | + | 0.350071i | ||||
\(591\) | 4802.74 | + | 1560.50i | 0.334278 | + | 0.108613i | ||||
\(592\) | 2107.52 | + | 13306.4i | 0.146315 | + | 0.923799i | ||||
\(593\) | −14221.9 | − | 14221.9i | −0.984861 | − | 0.984861i | 0.0150259 | − | 0.999887i | \(-0.495217\pi\) |
−0.999887 | + | 0.0150259i | \(0.995217\pi\) | |||||||
\(594\) | 621.879 | + | 21.5035i | 0.0429562 | + | 0.00148535i | ||||
\(595\) | 263.336 | − | 23368.7i | 0.0181441 | − | 1.61012i | ||||
\(596\) | 1966.66 | − | 2706.88i | 0.135164 | − | 0.186037i | ||||
\(597\) | −11167.8 | + | 5690.30i | −0.765610 | + | 0.390098i | ||||
\(598\) | −2428.37 | − | 1237.31i | −0.166059 | − | 0.0846112i | ||||
\(599\) | −393.180 | − | 541.166i | −0.0268196 | − | 0.0369139i | 0.795397 | − | 0.606089i | \(-0.207263\pi\) |
−0.822216 | + | 0.569175i | \(0.807263\pi\) | |||||||
\(600\) | −3038.06 | + | 2104.34i | −0.206714 | + | 0.143182i | ||||
\(601\) | −512.425 | + | 166.497i | −0.0347791 | + | 0.0113004i | −0.326355 | − | 0.945247i | \(-0.605820\pi\) |
0.291576 | + | 0.956548i | \(0.405820\pi\) | |||||||
\(602\) | 3001.49 | + | 5890.76i | 0.203209 | + | 0.398819i | ||||
\(603\) | −391.331 | + | 61.9807i | −0.0264282 | + | 0.00418582i | ||||
\(604\) | 25544.2 | 1.72083 | ||||||||
\(605\) | 12702.6 | − | 7751.74i | 0.853609 | − | 0.520914i | ||||
\(606\) | −2643.84 | −0.177226 | ||||||||
\(607\) | −1675.07 | + | 265.305i | −0.112008 | + | 0.0177404i | −0.212187 | − | 0.977229i | \(-0.568059\pi\) |
0.100179 | + | 0.994969i | \(0.468059\pi\) | |||||||
\(608\) | 4890.61 | + | 9598.36i | 0.326218 | + | 0.640238i | ||||
\(609\) | −6327.55 | + | 2055.94i | −0.421027 | + | 0.136800i | ||||
\(610\) | −750.099 | − | 127.484i | −0.0497879 | − | 0.00846178i | ||||
\(611\) | −2096.79 | − | 2885.98i | −0.138833 | − | 0.191087i | ||||
\(612\) | −5917.52 | − | 3015.13i | −0.390852 | − | 0.199149i | ||||
\(613\) | 4421.36 | − | 2252.80i | 0.291317 | − | 0.148433i | −0.302225 | − | 0.953237i | \(-0.597729\pi\) |
0.593541 | + | 0.804803i | \(0.297729\pi\) | |||||||
\(614\) | −152.217 | + | 209.509i | −0.0100048 | + | 0.0137705i | ||||
\(615\) | −3540.51 | − | 3621.22i | −0.232142 | − | 0.237434i | ||||
\(616\) | −7736.63 | − | 267.519i | −0.506035 | − | 0.0174978i | ||||
\(617\) | −9384.18 | − | 9384.18i | −0.612306 | − | 0.612306i | 0.331240 | − | 0.943546i | \(-0.392533\pi\) |
−0.943546 | + | 0.331240i | \(0.892533\pi\) | |||||||
\(618\) | −389.244 | − | 2457.59i | −0.0253361 | − | 0.159966i | ||||
\(619\) | 22135.6 | + | 7192.30i | 1.43733 | + | 0.467016i | 0.921064 | − | 0.389412i | \(-0.127322\pi\) |
0.516265 | + | 0.856429i | \(0.327322\pi\) | |||||||
\(620\) | 700.515 | − | 218.916i | 0.0453764 | − | 0.0141804i | ||||
\(621\) | 3804.34 | − | 2764.01i | 0.245834 | − | 0.178609i | ||||
\(622\) | −1017.07 | + | 6421.52i | −0.0655639 | + | 0.413954i | ||||
\(623\) | −4522.26 | + | 8875.44i | −0.290819 | + | 0.570765i | ||||
\(624\) | 1253.48 | − | 3857.80i | 0.0804154 | − | 0.247493i | ||||
\(625\) | −12214.2 | − | 9744.39i | −0.781711 | − | 0.623641i | ||||
\(626\) | − | 2927.33i | − | 0.186901i | ||||||
\(627\) | 10326.4 | − | 1271.51i | 0.657730 | − | 0.0809874i | ||||
\(628\) | 10306.2 | − | 10306.2i | 0.654876 | − | 0.654876i | ||||
\(629\) | 19386.3 | + | 14085.0i | 1.22891 | + | 0.892855i | ||||
\(630\) | 437.553 | − | 1296.74i | 0.0276707 | − | 0.0820056i | ||||
\(631\) | 8107.68 | + | 24952.9i | 0.511508 | + | 1.57426i | 0.789547 | + | 0.613690i | \(0.210316\pi\) |
−0.278039 | + | 0.960570i | \(0.589684\pi\) | |||||||
\(632\) | 5888.17 | + | 932.594i | 0.370599 | + | 0.0586971i | ||||
\(633\) | 2526.82 | + | 400.210i | 0.158661 | + | 0.0251294i | ||||
\(634\) | −952.592 | − | 2931.78i | −0.0596723 | − | 0.183653i | ||||
\(635\) | 6734.89 | + | 13594.5i | 0.420891 | + | 0.849578i | ||||
\(636\) | 7299.48 | + | 5303.38i | 0.455099 | + | 0.330649i | ||||
\(637\) | −2112.00 | + | 2112.00i | −0.131366 | + | 0.131366i | ||||
\(638\) | −1003.96 | − | 2151.08i | −0.0622998 | − | 0.133483i | ||||
\(639\) | 153.946i | 0.00953053i | ||||||||
\(640\) | −1847.30 | − | 12579.2i | −0.114095 | − | 0.776931i | ||||
\(641\) | 6923.12 | − | 21307.2i | 0.426594 | − | 1.31292i | −0.474866 | − | 0.880058i | \(-0.657503\pi\) |
0.901460 | − | 0.432863i | \(-0.142497\pi\) | |||||||
\(642\) | 58.1295 | − | 114.086i | 0.00357350 | − | 0.00701340i | ||||
\(643\) | 1632.66 | − | 10308.2i | 0.100133 | − | 0.632218i | −0.885670 | − | 0.464315i | \(-0.846301\pi\) |
0.985804 | − | 0.167903i | \(-0.0536995\pi\) | |||||||
\(644\) | −23059.1 | + | 16753.4i | −1.41095 | + | 1.02512i | ||||
\(645\) | 4863.18 | + | 15561.9i | 0.296880 | + | 0.949996i | ||||
\(646\) | 5544.64 | + | 1801.56i | 0.337695 | + | 0.109724i | ||||
\(647\) | 1970.95 | + | 12444.1i | 0.119762 | + | 0.756148i | 0.972344 | + | 0.233554i | \(0.0750356\pi\) |
−0.852582 | + | 0.522594i | \(0.824964\pi\) | |||||||
\(648\) | −564.461 | − | 564.461i | −0.0342193 | − | 0.0342193i | ||||
\(649\) | −28119.1 | + | 8073.44i | −1.70073 | + | 0.488306i | ||||
\(650\) | −1955.58 | − | 44.0795i | −0.118006 | − | 0.00265991i | ||||
\(651\) | −327.889 | + | 451.301i | −0.0197404 | + | 0.0271703i | ||||
\(652\) | 26651.1 | − | 13579.4i | 1.60082 | − | 0.815660i | ||||
\(653\) | −9164.26 | − | 4669.42i | −0.549196 | − | 0.279830i | 0.157294 | − | 0.987552i | \(-0.449723\pi\) |
−0.706491 | + | 0.707722i | \(0.749723\pi\) | |||||||
\(654\) | 2075.55 | + | 2856.74i | 0.124098 | + | 0.170807i | ||||
\(655\) | −1547.47 | − | 2181.17i | −0.0923123 | − | 0.130115i | ||||
\(656\) | 7838.10 | − | 2546.75i | 0.466504 | − | 0.151576i | ||||
\(657\) | −461.341 | − | 905.432i | −0.0273952 | − | 0.0537660i | ||||
\(658\) | 1934.48 | − | 306.391i | 0.114611 | − | 0.0181526i | ||||
\(659\) | −19399.2 | −1.14672 | −0.573359 | − | 0.819304i | \(-0.694360\pi\) | ||||
−0.573359 | + | 0.819304i | \(0.694360\pi\) | |||||||
\(660\) | −9110.25 | − | 1874.38i | −0.537297 | − | 0.110546i | ||||
\(661\) | 25614.9 | 1.50727 | 0.753634 | − | 0.657294i | \(-0.228299\pi\) | ||||
0.753634 | + | 0.657294i | \(0.228299\pi\) | |||||||
\(662\) | −4132.51 | + | 654.526i | −0.242620 | + | 0.0384273i | ||||
\(663\) | −3275.51 | − | 6428.55i | −0.191871 | − | 0.376567i | ||||
\(664\) | 2925.00 | − | 950.392i | 0.170952 | − | 0.0555457i | ||||
\(665\) | 3834.19 | − | 22559.8i | 0.223584 | − | 1.31554i | ||||
\(666\) | 824.829 | + | 1135.28i | 0.0479902 | + | 0.0660528i | ||||
\(667\) | −15984.1 | − | 8144.30i | −0.927896 | − | 0.472787i | ||||
\(668\) | 9237.27 | − | 4706.63i | 0.535031 | − | 0.272612i | ||||
\(669\) | 8092.36 | − | 11138.2i | 0.467666 | − | 0.643687i | ||||
\(670\) | −310.901 | − | 3.50347i | −0.0179271 | − | 0.000202016i | ||||
\(671\) | −2198.90 | − | 3257.60i | −0.126509 | − | 0.187419i | ||||
\(672\) | 5175.77 | + | 5175.77i | 0.297113 | + | 0.297113i | ||||
\(673\) | −2222.52 | − | 14032.4i | −0.127298 | − | 0.803731i | −0.965887 | − | 0.258965i | \(-0.916619\pi\) |
0.838588 | − | 0.544766i | \(-0.183381\pi\) | |||||||
\(674\) | −4991.02 | − | 1621.68i | −0.285233 | − | 0.0926778i | ||||
\(675\) | 1599.59 | − | 2971.86i | 0.0912124 | − | 0.169462i | ||||
\(676\) | −9736.45 | + | 7073.95i | −0.553963 | + | 0.402478i | ||||
\(677\) | −2496.96 | + | 15765.2i | −0.141752 | + | 0.894985i | 0.809623 | + | 0.586950i | \(0.199671\pi\) |
−0.951375 | + | 0.308035i | \(0.900329\pi\) | |||||||
\(678\) | 237.634 | − | 466.383i | 0.0134606 | − | 0.0264179i | ||||
\(679\) | −2103.00 | + | 6472.38i | −0.118860 | + | 0.365813i | ||||
\(680\) | −8582.75 | − | 6384.73i | −0.484020 | − | 0.360063i | ||||
\(681\) | 2653.02i | 0.149286i | ||||||||
\(682\) | −174.113 | − | 96.4347i | −0.00977587 | − | 0.00541448i | ||||
\(683\) | −18898.0 | + | 18898.0i | −1.05873 | + | 1.05873i | −0.0605662 | + | 0.998164i | \(0.519291\pi\) |
−0.998164 | + | 0.0605662i | \(0.980709\pi\) | |||||||
\(684\) | −5261.07 | − | 3822.39i | −0.294097 | − | 0.213674i | ||||
\(685\) | 22467.7 | − | 11130.8i | 1.25321 | − | 0.620855i | ||||
\(686\) | 934.853 | + | 2877.18i | 0.0520304 | + | 0.160133i | ||||
\(687\) | −5307.39 | − | 840.609i | −0.294745 | − | 0.0466830i | ||||
\(688\) | −26205.3 | − | 4150.51i | −1.45213 | − | 0.229995i | ||||
\(689\) | 3028.93 | + | 9322.10i | 0.167479 | + | 0.515448i | ||||
\(690\) | 3306.64 | − | 1638.15i | 0.182437 | − | 0.0903815i | ||||
\(691\) | 24655.7 | + | 17913.4i | 1.35738 | + | 0.986191i | 0.998607 | + | 0.0527647i | \(0.0168033\pi\) |
0.358769 | + | 0.933426i | \(0.383197\pi\) | |||||||
\(692\) | 16827.3 | − | 16827.3i | 0.924389 | − | 0.924389i | ||||
\(693\) | 6406.14 | − | 2989.90i | 0.351153 | − | 0.163892i | ||||
\(694\) | 2700.87i | 0.147729i | ||||||||
\(695\) | −2448.87 | − | 1821.72i | −0.133656 | − | 0.0994268i | ||||
\(696\) | −941.059 | + | 2896.28i | −0.0512511 | + | 0.157735i | ||||
\(697\) | 6655.02 | − | 13061.2i | 0.361660 | − | 0.709797i | ||||
\(698\) | 849.305 | − | 5362.30i | 0.0460554 | − | 0.290782i | ||||
\(699\) | 12914.3 | − | 9382.77i | 0.698802 | − | 0.507710i | ||||
\(700\) | −9695.55 | + | 18013.2i | −0.523510 | + | 0.972620i | ||||
\(701\) | 5123.25 | + | 1664.64i | 0.276038 | + | 0.0896900i | 0.443764 | − | 0.896143i | \(-0.353643\pi\) |
−0.167727 | + | 0.985833i | \(0.553643\pi\) | |||||||
\(702\) | −66.0954 | − | 417.310i | −0.00355358 | − | 0.0224364i | ||||
\(703\) | 16591.3 | + | 16591.3i | 0.890119 | + | 0.890119i | ||||
\(704\) | 8196.32 | − | 10498.2i | 0.438793 | − | 0.562026i | ||||
\(705\) | 4829.72 | + | 54.4250i | 0.258011 | + | 0.00290747i | ||||
\(706\) | −781.924 | + | 1076.23i | −0.0416829 | + | 0.0573715i | ||||
\(707\) | −26763.4 | + | 13636.6i | −1.42368 | + | 0.725401i | ||||
\(708\) | 16292.4 | + | 8301.37i | 0.864837 | + | 0.440656i | ||||
\(709\) | −11476.6 | − | 15796.2i | −0.607916 | − | 0.836725i | 0.388488 | − | 0.921454i | \(-0.372997\pi\) |
−0.996404 | + | 0.0847292i | \(0.972997\pi\) | |||||||
\(710\) | −20.2417 | + | 119.100i | −0.00106994 | + | 0.00629539i | ||||
\(711\) | −5177.80 | + | 1682.37i | −0.273112 | + | 0.0887395i | ||||
\(712\) | 2069.96 | + | 4062.52i | 0.108953 | + | 0.213833i | ||||
\(713\) | −1485.61 | + | 235.298i | −0.0780319 | + | 0.0123590i | ||||
\(714\) | 3961.33 | 0.207631 | ||||||||
\(715\) | −6809.97 | − | 7464.67i | −0.356194 | − | 0.390438i | ||||
\(716\) | −26711.2 | −1.39420 | ||||||||
\(717\) | 11777.5 | − | 1865.38i | 0.613446 | − | 0.0971603i | ||||
\(718\) | −1587.16 | − | 3114.97i | −0.0824960 | − | 0.161908i | ||||
\(719\) | 21421.9 | − | 6960.41i | 1.11113 | − | 0.361028i | 0.304754 | − | 0.952431i | \(-0.401426\pi\) |
0.806376 | + | 0.591403i | \(0.201426\pi\) | |||||||
\(720\) | 3177.97 | + | 4479.39i | 0.164494 | + | 0.231857i | ||||
\(721\) | −16616.3 | − | 22870.3i | −0.858283 | − | 1.18132i | ||||
\(722\) | 1225.74 | + | 624.548i | 0.0631821 | + | 0.0321929i | ||||
\(723\) | 17825.0 | − | 9082.30i | 0.916901 | − | 0.467184i | ||||
\(724\) | 12292.2 | − | 16918.7i | 0.630988 | − | 0.868480i | ||||
\(725\) | −12872.1 | − | 290.142i | −0.659390 | − | 0.0148629i | ||||
\(726\) | 1338.13 | + | 2138.19i | 0.0684056 | + | 0.109305i | ||||
\(727\) | 8075.60 | + | 8075.60i | 0.411977 | + | 0.411977i | 0.882427 | − | 0.470450i | \(-0.155908\pi\) |
−0.470450 | + | 0.882427i | \(0.655908\pi\) | |||||||
\(728\) | 822.275 | + | 5191.64i | 0.0418620 | + | 0.264306i | ||||
\(729\) | 693.320 | + | 225.273i | 0.0352243 | + | 0.0114451i | ||||
\(730\) | −237.862 | − | 761.143i | −0.0120598 | − | 0.0385906i | ||||
\(731\) | −38179.0 | + | 27738.7i | −1.93174 | + | 1.40349i | ||||
\(732\) | −384.287 | + | 2426.29i | −0.0194039 | + | 0.122511i | ||||
\(733\) | −9497.49 | + | 18639.9i | −0.478578 | + | 0.939263i | 0.517902 | + | 0.855440i | \(0.326713\pi\) |
−0.996481 | + | 0.0838232i | \(0.973287\pi\) | |||||||
\(734\) | 614.305 | − | 1890.64i | 0.0308916 | − | 0.0950745i | ||||
\(735\) | −587.588 | − | 4001.18i | −0.0294878 | − | 0.200797i | ||||
\(736\) | 19736.4i | 0.988442i | ||||||||
\(737\) | −1095.75 | − | 1174.25i | −0.0547661 | − | 0.0586892i | ||||
\(738\) | 607.008 | − | 607.008i | 0.0302768 | − | 0.0302768i | ||||
\(739\) | 7358.57 | + | 5346.31i | 0.366291 | + | 0.266126i | 0.755671 | − | 0.654951i | \(-0.227311\pi\) |
−0.389380 | + | 0.921077i | \(0.627311\pi\) | |||||||
\(740\) | −9311.49 | − | 18795.4i | −0.462564 | − | 0.933695i | ||||
\(741\) | −2183.09 | − | 6718.87i | −0.108229 | − | 0.333096i | ||||
\(742\) | −5315.40 | − | 841.877i | −0.262984 | − | 0.0416526i | ||||
\(743\) | −28464.0 | − | 4508.25i | −1.40544 | − | 0.222600i | −0.592792 | − | 0.805355i | \(-0.701975\pi\) |
−0.812648 | + | 0.582755i | \(0.801975\pi\) | |||||||
\(744\) | 78.9034 | + | 242.840i | 0.00388809 | + | 0.0119663i | ||||
\(745\) | −1573.47 | + | 4663.19i | −0.0773793 | + | 0.229324i | ||||
\(746\) | −388.726 | − | 282.426i | −0.0190781 | − | 0.0138611i | ||||
\(747\) | −1986.02 | + | 1986.02i | −0.0972754 | + | 0.0972754i | ||||
\(748\) | −3290.09 | − | 26720.1i | −0.160826 | − | 1.30613i | ||||
\(749\) | − | 1454.70i | − | 0.0709663i | ||||||
\(750\) | 1628.28 | − | 2088.84i | 0.0792749 | − | 0.101698i | ||||
\(751\) | −424.067 | + | 1305.14i | −0.0206051 | + | 0.0634160i | −0.960830 | − | 0.277137i | \(-0.910614\pi\) |
0.940225 | + | 0.340553i | \(0.110614\pi\) | |||||||
\(752\) | −3568.37 | + | 7003.32i | −0.173039 | + | 0.339607i | ||||
\(753\) | −991.841 | + | 6262.24i | −0.0480009 | + | 0.303066i | ||||
\(754\) | −1304.01 | + | 947.422i | −0.0629833 | + | 0.0457600i | ||||
\(755\) | −35862.9 | + | 11207.4i | −1.72872 | + | 0.540237i | ||||
\(756\) | −4202.39 | − | 1365.44i | −0.202169 | − | 0.0656886i | ||||
\(757\) | 2172.95 | + | 13719.5i | 0.104329 | + | 0.658709i | 0.983322 | + | 0.181873i | \(0.0582161\pi\) |
−0.878993 | + | 0.476835i | \(0.841784\pi\) | |||||||
\(758\) | 2605.89 | + | 2605.89i | 0.124869 | + | 0.124869i | ||||
\(759\) | 17914.6 | + | 6513.45i | 0.856733 | + | 0.311493i | ||||
\(760\) | −7322.52 | − | 7489.43i | −0.349494 | − | 0.357461i | ||||
\(761\) | −7438.56 | + | 10238.3i | −0.354333 | + | 0.487698i | −0.948559 | − | 0.316600i | \(-0.897459\pi\) |
0.594226 | + | 0.804298i | \(0.297459\pi\) | |||||||
\(762\) | −2291.31 | + | 1167.48i | −0.108931 | + | 0.0555031i | ||||
\(763\) | 35745.3 | + | 18213.1i | 1.69602 | + | 0.864168i | ||||
\(764\) | 15985.3 | + | 22001.8i | 0.756971 | + | 1.04188i | ||||
\(765\) | 9630.80 | + | 1636.82i | 0.455166 | + | 0.0773585i | ||||
\(766\) | −4534.19 | + | 1473.25i | −0.213873 | + | 0.0694916i | ||||
\(767\) | 9018.27 | + | 17699.4i | 0.424551 | + | 0.833229i | ||||
\(768\) | −6525.29 | + | 1033.50i | −0.306590 | + | 0.0485591i | ||||
\(769\) | 38988.4 | 1.82829 | 0.914147 | − | 0.405382i | \(-0.132861\pi\) | ||||
0.914147 | + | 0.405382i | \(0.132861\pi\) | |||||||
\(770\) | 5349.21 | − | 1470.80i | 0.250353 | − | 0.0688365i | ||||
\(771\) | −21297.8 | −0.994839 | ||||||||
\(772\) | −35408.0 | + | 5608.08i | −1.65073 | + | 0.261450i | ||||
\(773\) | −7606.70 | − | 14929.0i | −0.353938 | − | 0.694642i | 0.643556 | − | 0.765399i | \(-0.277459\pi\) |
−0.997494 | + | 0.0707569i | \(0.977459\pi\) | |||||||
\(774\) | −2628.33 | + | 853.997i | −0.122059 | + | 0.0396593i | ||||
\(775\) | −887.443 | + | 614.695i | −0.0411328 | + | 0.0284910i | ||||
\(776\) | 1830.97 | + | 2520.12i | 0.0847011 | + | 0.116581i | ||||
\(777\) | 14205.3 | + | 7237.96i | 0.655872 | + | 0.334183i | ||||
\(778\) | 3372.12 | − | 1718.18i | 0.155394 | − | 0.0791770i | ||||
\(779\) | 8436.83 | − | 11612.3i | 0.388037 | − | 0.534087i | ||||
\(780\) | −71.1633 | + | 6315.09i | −0.00326674 | + | 0.289893i | ||||
\(781\) | −517.236 | + | 349.138i | −0.0236980 | + | 0.0159963i | ||||
\(782\) | 7552.72 | + | 7552.72i | 0.345377 | + | 0.345377i | ||||
\(783\) | −435.056 | − | 2746.84i | −0.0198565 | − | 0.125369i | ||||
\(784\) | 6258.95 | + | 2033.66i | 0.285120 | + | 0.0926411i | ||||
\(785\) | −9947.64 | + | 18991.2i | −0.452289 | + | 0.863473i | ||||
\(786\) | 366.738 | − | 266.451i | 0.0166426 | − | 0.0120916i | ||||
\(787\) | 6356.20 | − | 40131.5i | 0.287896 | − | 1.81770i | −0.242726 | − | 0.970095i | \(-0.578042\pi\) |
0.530622 | − | 0.847609i | \(-0.321958\pi\) | |||||||
\(788\) | 5808.66 | − | 11400.1i | 0.262595 | − | 0.515372i | ||||
\(789\) | −1004.26 | + | 3090.78i | −0.0453136 | + | 0.139461i | ||||
\(790\) | −4226.99 | + | 620.748i | −0.190366 | + | 0.0279560i | ||||
\(791\) | − | 5946.84i | − | 0.267314i | ||||||
\(792\) | 616.353 | − | 3176.66i | 0.0276529 | − | 0.142522i | ||||
\(793\) | −1887.04 | + | 1887.04i | −0.0845030 | + | 0.0845030i | ||||
\(794\) | −1339.33 | − | 973.083i | −0.0598630 | − | 0.0434930i | ||||
\(795\) | −12575.0 | − | 4243.09i | −0.560991 | − | 0.189292i | ||||
\(796\) | 9813.35 | + | 30202.4i | 0.436966 | + | 1.34484i | ||||
\(797\) | −14358.3 | − | 2274.12i | −0.638137 | − | 0.101071i | −0.171022 | − | 0.985267i | \(-0.554707\pi\) |
−0.467116 | + | 0.884196i | \(0.654707\pi\) | |||||||
\(798\) | 3831.05 | + | 606.779i | 0.169947 | + | 0.0269170i | ||||
\(799\) | 4320.20 | + | 13296.2i | 0.191286 | + | 0.588718i | ||||
\(800\) | 6144.78 | + | 12762.9i | 0.271564 | + | 0.564047i | ||||
\(801\) | −3368.61 | − | 2447.44i | −0.148594 | − | 0.107960i | ||||
\(802\) | −1713.28 | + | 1713.28i | −0.0754341 | + | 0.0754341i | ||||
\(803\) | 1995.83 | − | 3603.49i | 0.0877104 | − | 0.158362i | ||||
\(804\) | 1003.85i | 0.0440339i | ||||||||
\(805\) | 25023.4 | − | 33638.1i | 1.09560 | − | 1.47278i | ||||
\(806\) | −41.7625 | + | 128.532i | −0.00182509 | + | 0.00561704i | ||||
\(807\) | −6338.42 | + | 12439.8i | −0.276484 | + | 0.542631i | ||||
\(808\) | −2150.79 | + | 13579.6i | −0.0936443 | + | 0.591247i | ||||
\(809\) | 19604.3 | − | 14243.4i | 0.851979 | − | 0.618999i | −0.0737117 | − | 0.997280i | \(-0.523484\pi\) |
0.925691 | + | 0.378280i | \(0.123484\pi\) | |||||||
\(810\) | 506.763 | + | 265.444i | 0.0219825 | + | 0.0115145i | ||||
\(811\) | 19460.9 | + | 6323.23i | 0.842619 | + | 0.273784i | 0.698351 | − | 0.715755i | \(-0.253917\pi\) |
0.144268 | + | 0.989539i | \(0.453917\pi\) | |||||||
\(812\) | 2636.99 | + | 16649.3i | 0.113966 | + | 0.719551i | ||||
\(813\) | −12997.6 | − | 12997.6i | −0.560694 | − | 0.560694i | ||||
\(814\) | −1943.73 | + | 5346.03i | −0.0836948 | + | 0.230194i | ||||
\(815\) | −31459.0 | + | 30757.9i | −1.35210 | + | 1.32197i | ||||
\(816\) | −9344.12 | + | 12861.1i | −0.400869 | + | 0.551749i | ||||
\(817\) | −41172.4 | + | 20978.4i | −1.76308 | + | 0.898336i | ||||
\(818\) | −2409.36 | − | 1227.63i | −0.102984 | − | 0.0524732i | ||||
\(819\) | −2821.51 | − | 3883.48i | −0.120381 | − | 0.165690i | ||||
\(820\) | −10465.2 | + | 7424.72i | −0.445685 | + | 0.316198i | ||||
\(821\) | −17253.0 | + | 5605.83i | −0.733414 | + | 0.238301i | −0.651829 | − | 0.758366i | \(-0.725998\pi\) |
−0.0815850 | + | 0.996666i | \(0.525998\pi\) | |||||||
\(822\) | 1929.50 | + | 3786.86i | 0.0818724 | + | 0.160684i | ||||
\(823\) | −1089.59 | + | 172.574i | −0.0461491 | + | 0.00730930i | −0.179466 | − | 0.983764i | \(-0.557437\pi\) |
0.133317 | + | 0.991073i | \(0.457437\pi\) | |||||||
\(824\) | −12939.6 | −0.547053 | ||||||||
\(825\) | 13612.8 | − | 1365.54i | 0.574467 | − | 0.0576265i | ||||
\(826\) | −10906.5 | −0.459425 | ||||||||
\(827\) | −12434.7 | + | 1969.47i | −0.522851 | + | 0.0828114i | −0.412281 | − | 0.911057i | \(-0.635268\pi\) |
−0.110570 | + | 0.993868i | \(0.535268\pi\) | |||||||
\(828\) | −5408.98 | − | 10615.7i | −0.227023 | − | 0.445557i | ||||
\(829\) | −9943.75 | + | 3230.92i | −0.416599 | + | 0.135361i | −0.509814 | − | 0.860285i | \(-0.670286\pi\) |
0.0932146 | + | 0.995646i | \(0.470286\pi\) | |||||||
\(830\) | −1797.61 | + | 1275.34i | −0.0751758 | + | 0.0533346i | ||||
\(831\) | 3978.45 | + | 5475.86i | 0.166078 | + | 0.228587i | ||||
\(832\) | −8057.89 | − | 4105.70i | −0.335766 | − | 0.171081i | ||||
\(833\) | 10429.8 | − | 5314.23i | 0.433817 | − | 0.221041i | ||||
\(834\) | 304.091 | − | 418.545i | 0.0126257 | − | 0.0173777i | ||||
\(835\) | −10903.7 | + | 10660.7i | −0.451902 | + | 0.441831i | ||||
\(836\) | 910.976 | − | 26345.3i | 0.0376875 | − | 1.08992i | ||||
\(837\) | −164.884 | − | 164.884i | −0.00680909 | − | 0.00680909i | ||||
\(838\) | −1256.98 | − | 7936.25i | −0.0518157 | − | 0.327152i | ||||
\(839\) | 15674.5 | + | 5092.96i | 0.644988 | + | 0.209569i | 0.613203 | − | 0.789926i | \(-0.289881\pi\) |
0.0317848 | + | 0.999495i | \(0.489881\pi\) | |||||||
\(840\) | −6304.51 | − | 3302.31i | −0.258960 | − | 0.135644i | ||||
\(841\) | 11147.8 | − | 8099.33i | 0.457082 | − | 0.332090i | ||||
\(842\) | 1065.23 | − | 6725.57i | 0.0435987 | − | 0.275271i | ||||
\(843\) | 1316.82 | − | 2584.41i | 0.0538005 | − | 0.105589i | ||||
\(844\) | 2003.01 | − | 6164.64i | 0.0816903 | − | 0.251417i | ||||
\(845\) | 10565.9 | − | 14203.3i | 0.430151 | − | 0.578236i | ||||
\(846\) | 818.706i | 0.0332715i | ||||||||
\(847\) | 24574.3 | + | 14742.8i | 0.996909 | + | 0.598075i | ||||
\(848\) | 15271.4 | − | 15271.4i | 0.618424 | − | 0.618424i | ||||
\(849\) | 16467.2 | + | 11964.2i | 0.665671 | + | 0.483638i | ||||
\(850\) | 7235.60 | + | 2532.63i | 0.291975 | + | 0.102198i | ||||
\(851\) | 13284.0 | + | 40884.1i | 0.535101 | + | 1.64687i | ||||
\(852\) | 385.243 | + | 61.0165i | 0.0154909 | + | 0.00245351i | ||||
\(853\) | 8214.15 | + | 1300.99i | 0.329715 | + | 0.0522218i | 0.319098 | − | 0.947722i | \(-0.396620\pi\) |
0.0106177 | + | 0.999944i | \(0.496620\pi\) | |||||||
\(854\) | −452.780 | − | 1393.51i | −0.0181427 | − | 0.0558374i | ||||
\(855\) | 9063.36 | + | 3058.19i | 0.362527 | + | 0.122325i | ||||
\(856\) | −538.688 | − | 391.380i | −0.0215093 | − | 0.0156274i | ||||
\(857\) | −7152.94 | + | 7152.94i | −0.285111 | + | 0.285111i | −0.835143 | − | 0.550033i | \(-0.814615\pi\) |
0.550033 | + | 0.835143i | \(0.314615\pi\) | |||||||
\(858\) | 1252.20 | − | 1168.50i | 0.0498246 | − | 0.0464940i | ||||
\(859\) | − | 21908.9i | − | 0.870223i | −0.900376 | − | 0.435112i | \(-0.856709\pi\) | ||
0.900376 | − | 0.435112i | \(-0.143291\pi\) | |||||||
\(860\) | 40870.4 | − | 6001.96i | 1.62055 | − | 0.237983i | ||||
\(861\) | 3013.81 | − | 9275.57i | 0.119292 | − | 0.367143i | ||||
\(862\) | −600.539 | + | 1178.62i | −0.0237291 | + | 0.0465709i | ||||
\(863\) | −560.723 | + | 3540.27i | −0.0221173 | + | 0.139643i | −0.996276 | − | 0.0862215i | \(-0.972521\pi\) |
0.974159 | + | 0.225865i | \(0.0725207\pi\) | |||||||
\(864\) | −2475.32 | + | 1798.43i | −0.0974678 | + | 0.0708145i | ||||
\(865\) | −16241.8 | + | 31007.6i | −0.638427 | + | 1.21883i | ||||
\(866\) | −6016.34 | − | 1954.83i | −0.236078 | − | 0.0767064i | ||||
\(867\) | 2117.65 | + | 13370.3i | 0.0829517 | + | 0.523736i | ||||
\(868\) | 999.401 | + | 999.401i | 0.0390805 | + | 0.0390805i | ||||
\(869\) | −17395.4 | − | 13581.2i | −0.679053 | − | 0.530161i | ||||
\(870\) | 24.5916 | − | 2182.28i | 0.000958316 | − | 0.0850417i | ||||
\(871\) | −641.007 | + | 882.271i | −0.0249365 | + | 0.0343222i | ||||
\(872\) | 16361.5 | − | 8336.62i | 0.635403 | − | 0.323754i | ||||
\(873\) | −2534.68 | − | 1291.48i | −0.0982656 | − | 0.0500688i | ||||
\(874\) | 6147.45 | + | 8461.24i | 0.237918 | + | 0.327467i | ||||
\(875\) | 5708.92 | − | 29543.6i | 0.220568 | − | 1.14143i | ||||
\(876\) | −2448.66 | + | 795.617i | −0.0944435 | + | 0.0306865i | ||||
\(877\) | 3208.27 | + | 6296.58i | 0.123530 | + | 0.242441i | 0.944487 | − | 0.328549i | \(-0.106560\pi\) |
−0.820957 | + | 0.570990i | \(0.806560\pi\) | |||||||
\(878\) | 6329.95 | − | 1002.57i | 0.243309 | − | 0.0385364i | ||||
\(879\) | −9039.88 | −0.346880 | ||||||||
\(880\) | −7842.70 | + | 20836.4i | −0.300429 | + | 0.798177i | ||||
\(881\) | 16331.1 | 0.624526 | 0.312263 | − | 0.949996i | \(-0.398913\pi\) | ||||
0.312263 | + | 0.949996i | \(0.398913\pi\) | |||||||
\(882\) | 677.050 | − | 107.234i | 0.0258474 | − | 0.00409383i | ||||
\(883\) | 5726.02 | + | 11237.9i | 0.218228 | + | 0.428298i | 0.974003 | − | 0.226534i | \(-0.0727395\pi\) |
−0.755775 | + | 0.654832i | \(0.772739\pi\) | |||||||
\(884\) | −17385.4 | + | 5648.86i | −0.661465 | + | 0.214923i | ||||
\(885\) | −26515.9 | − | 4506.55i | −1.00714 | − | 0.171171i | ||||
\(886\) | −1917.39 | − | 2639.05i | −0.0727041 | − | 0.100069i | ||||
\(887\) | 16207.0 | + | 8257.88i | 0.613504 | + | 0.312596i | 0.732989 | − | 0.680240i | \(-0.238124\pi\) |
−0.119485 | + | 0.992836i | \(0.538124\pi\) | |||||||
\(888\) | 6502.13 | − | 3313.00i | 0.245718 | − | 0.125199i | ||||
\(889\) | −17173.0 | + | 23636.6i | −0.647879 | + | 0.891729i | ||||
\(890\) | −2284.30 | − | 2336.37i | −0.0860337 | − | 0.0879948i | ||||
\(891\) | 815.511 | + | 2840.36i | 0.0306629 | + | 0.106796i | ||||
\(892\) | −24665.4 | − | 24665.4i | −0.925851 | − | 0.925851i | ||||
\(893\) | 2141.47 | + | 13520.7i | 0.0802480 | + | 0.506666i | ||||
\(894\) | −793.383 | − | 257.786i | −0.0296809 | − | 0.00964390i | ||||
\(895\) | 37501.4 | − | 11719.4i | 1.40059 | − | 0.437695i | ||||
\(896\) | 19808.3 | − | 14391.6i | 0.738559 | − | 0.536594i | ||||
\(897\) | 2024.76 | − | 12783.8i | 0.0753677 | − | 0.475853i | ||||
\(898\) | −3077.83 | + | 6040.58i | −0.114375 | + | 0.224473i | ||||
\(899\) | −274.891 | + | 846.027i | −0.0101981 | + | 0.0313866i | ||||
\(900\) | −6802.94 | − | 5180.81i | −0.251961 | − | 0.191882i | ||||
\(901\) | − | 38414.3i | − | 1.42038i | ||||||
\(902\) | 3416.11 | + | 662.812i | 0.126102 | + | 0.0244670i | ||||
\(903\) | −22201.6 | + | 22201.6i | −0.818186 | + | 0.818186i | ||||
\(904\) | −2202.16 | − | 1599.96i | −0.0810208 | − | 0.0588651i | ||||
\(905\) | −9834.65 | + | 29146.3i | −0.361232 | + | 1.07056i | ||||
\(906\) | −1968.07 | − | 6057.10i | −0.0721686 | − | 0.222112i | ||||
\(907\) | −41665.2 | − | 6599.11i | −1.52532 | − | 0.241588i | −0.663261 | − | 0.748388i | \(-0.730828\pi\) |
−0.862063 | + | 0.506800i | \(0.830828\pi\) | |||||||
\(908\) | 6639.07 | + | 1051.53i | 0.242649 | + | 0.0384318i | ||||
\(909\) | −3879.96 | − | 11941.3i | −0.141573 | − | 0.435718i | ||||
\(910\) | −1672.23 | − | 3375.43i | −0.0609162 | − | 0.122961i | ||||
\(911\) | 2217.11 | + | 1610.82i | 0.0806324 | + | 0.0585829i | 0.627371 | − | 0.778720i | \(-0.284131\pi\) |
−0.546739 | + | 0.837303i | \(0.684131\pi\) | |||||||
\(912\) | −11006.8 | + | 11006.8i | −0.399641 | + | 0.399641i | ||||
\(913\) | −11176.9 | − | 2168.60i | −0.405149 | − | 0.0786092i | ||||
\(914\) | − | 7894.88i | − | 0.285711i | ||||||
\(915\) | −525.003 | − | 3575.01i | −0.0189684 | − | 0.129165i | ||||
\(916\) | −4207.17 | + | 12948.3i | −0.151756 | + | 0.467058i | ||||
\(917\) | 2338.13 | − | 4588.85i | 0.0842006 | − | 0.165253i | ||||
\(918\) | −259.034 | + | 1635.48i | −0.00931307 | + | 0.0588004i | ||||
\(919\) | −37844.5 | + | 27495.6i | −1.35840 | + | 0.986938i | −0.359859 | + | 0.933007i | \(0.617175\pi\) |
−0.998545 | + | 0.0539318i | \(0.982825\pi\) | |||||||
\(920\) | −5724.03 | − | 18316.5i | −0.205126 | − | 0.656388i | ||||
\(921\) | −1169.66 | − | 380.045i | −0.0418475 | − | 0.0135971i | ||||
\(922\) | −843.756 | − | 5327.27i | −0.0301384 | − | 0.190286i | ||||
\(923\) | 299.622 | + | 299.622i | 0.0106849 | + | 0.0106849i | ||||
\(924\) | −4943.02 | − | 17216.1i | −0.175989 | − | 0.612954i | ||||
\(925\) | 21319.3 | + | 22302.6i | 0.757811 | + | 0.792761i | ||||
\(926\) | 1041.27 | − | 1433.19i | 0.0369529 | − | 0.0508613i | ||||
\(927\) | 10528.8 | − | 5364.70i | 0.373044 | − | 0.190075i | ||||
\(928\) | 10400.2 | + | 5299.15i | 0.367890 | + | 0.187450i | ||||
\(929\) | 23045.7 | + | 31719.7i | 0.813891 | + | 1.12022i | 0.990711 | + | 0.135982i | \(0.0434189\pi\) |
−0.176820 | + | 0.984243i | \(0.556581\pi\) | |||||||
\(930\) | −105.881 | − | 149.241i | −0.00373332 | − | 0.00526216i | ||||
\(931\) | 10900.8 | − | 3541.88i | 0.383737 | − | 0.124684i | ||||
\(932\) | −18361.4 | − | 36036.3i | −0.645330 | − | 1.26653i | ||||
\(933\) | −30496.2 | + | 4830.13i | −1.07010 | + | 0.169487i | ||||
\(934\) | 5730.88 | 0.200771 | ||||||||
\(935\) | 16342.4 | + | 36070.2i | 0.571610 | + | 1.26163i | ||||
\(936\) | −2197.20 | −0.0767282 | ||||||||
\(937\) | 24143.9 | − | 3824.01i | 0.841778 | − | 0.133325i | 0.279369 | − | 0.960184i | \(-0.409875\pi\) |
0.562409 | + | 0.826859i | \(0.309875\pi\) | |||||||
\(938\) | −271.831 | − | 533.499i | −0.00946227 | − | 0.0185707i | ||||
\(939\) | 13221.7 | − | 4295.99i | 0.459504 | − | 0.149302i | ||||
\(940\) | 2050.46 | − | 12064.6i | 0.0711473 | − | 0.418621i | ||||
\(941\) | −6772.89 | − | 9322.09i | −0.234633 | − | 0.322945i | 0.675422 | − | 0.737431i | \(-0.263961\pi\) |
−0.910056 | + | 0.414486i | \(0.863961\pi\) | |||||||
\(942\) | −3237.88 | − | 1649.78i | −0.111991 | − | 0.0570624i | ||||
\(943\) | 23431.1 | − | 11938.8i | 0.809144 | − | 0.412279i | ||||
\(944\) | 25726.6 | − | 35409.7i | 0.887002 | − | 1.22085i | ||||
\(945\) | 6499.05 | + | 73.2363i | 0.223719 | + | 0.00252103i | ||||
\(946\) | −8830.17 | − | 6894.02i | −0.303481 | − | 0.236939i | ||||
\(947\) | 23113.5 | + | 23113.5i | 0.793123 | + | 0.793123i | 0.982001 | − | 0.188877i | \(-0.0604849\pi\) |
−0.188877 | + | 0.982001i | \(0.560485\pi\) | |||||||
\(948\) | 2157.83 | + | 13624.0i | 0.0739274 | + | 0.466759i | ||||
\(949\) | −2660.12 | − | 864.326i | −0.0909918 | − | 0.0295650i | ||||
\(950\) | 6609.71 | + | 3557.66i | 0.225734 | + | 0.121501i | ||||
\(951\) | 11843.8 | − | 8605.02i | 0.403850 | − | 0.293414i | ||||
\(952\) | 3222.57 | − | 20346.5i | 0.109710 | − | 0.692684i | ||||
\(953\) | 5690.56 | − | 11168.3i | 0.193426 | − | 0.379620i | −0.773841 | − | 0.633380i | \(-0.781667\pi\) |
0.967267 | + | 0.253759i | \(0.0816672\pi\) | |||||||
\(954\) | 695.156 | − | 2139.47i | 0.0235917 | − | 0.0726079i | ||||
\(955\) | −32095.8 | − | 23876.1i | −1.08753 | − | 0.809018i | ||||
\(956\) | − | 30212.2i | − | 1.02210i | ||||||
\(957\) | 8242.30 | − | 7691.34i | 0.278407 | − | 0.259797i | ||||
\(958\) | 1449.81 | − | 1449.81i | 0.0488949 | − | 0.0488949i | ||||
\(959\) | 39064.4 | + | 28381.9i | 1.31538 | + | 0.955683i | ||||
\(960\) | 10972.2 | − | 5435.76i | 0.368882 | − | 0.182748i | ||||
\(961\) | −9182.88 | − | 28262.0i | −0.308243 | − | 0.948675i | ||||
\(962\) | 3814.92 | + | 604.224i | 0.127856 | + | 0.0202505i | ||||
\(963\) | 600.591 | + | 95.1242i | 0.0200974 | + | 0.00318311i | ||||
\(964\) | −15663.1 | − | 48206.1i | −0.523314 | − | 1.61060i | ||||
\(965\) | 47250.7 | − | 23408.6i | 1.57622 | − | 0.780880i | ||||
\(966\) | 5749.21 | + | 4177.04i | 0.191488 | + | 0.139124i | ||||
\(967\) | −20265.3 | + | 20265.3i | −0.673927 | + | 0.673927i | −0.958619 | − | 0.284692i | \(-0.908109\pi\) |
0.284692 | + | 0.958619i | \(0.408109\pi\) | |||||||
\(968\) | 12071.0 | − | 5133.57i | 0.400801 | − | 0.170454i | ||||
\(969\) | 27687.0i | 0.917888i | ||||||||
\(970\) | −1791.13 | − | 1332.42i | −0.0592883 | − | 0.0441047i | ||||
\(971\) | −4508.26 | + | 13875.0i | −0.148998 | + | 0.458568i | −0.997503 | − | 0.0706182i | \(-0.977503\pi\) |
0.848506 | + | 0.529186i | \(0.177503\pi\) | |||||||
\(972\) | 838.535 | − | 1645.72i | 0.0276708 | − | 0.0543070i | ||||
\(973\) | 919.478 | − | 5805.35i | 0.0302951 | − | 0.191276i | ||||
\(974\) | −5188.19 | + | 3769.44i | −0.170678 | + | 0.124005i | ||||
\(975\) | −2670.80 | − | 8897.32i | −0.0877273 | − | 0.292248i | ||||
\(976\) | 5592.30 | + | 1817.05i | 0.183407 | + | 0.0595925i | ||||
\(977\) | 2363.42 | + | 14922.1i | 0.0773926 | + | 0.488638i | 0.995690 | + | 0.0927461i | \(0.0295645\pi\) |
−0.918297 | + | 0.395892i | \(0.870436\pi\) | |||||||
\(978\) | −5273.33 | − | 5273.33i | −0.172416 | − | 0.172416i | ||||
\(979\) | 583.288 | − | 16868.6i | 0.0190419 | − | 0.550688i | ||||
\(980\) | −10245.7 | − | 115.456i | −0.333966 | − | 0.00376338i | ||||
\(981\) | −9856.91 | + | 13566.9i | −0.320802 | + | 0.441546i | ||||
\(982\) | −9748.18 | + | 4966.95i | −0.316779 | + | 0.161407i | ||||
\(983\) | −32884.4 | − | 16755.4i | −1.06699 | − | 0.543657i | −0.169878 | − | 0.985465i | \(-0.554337\pi\) |
−0.897110 | + | 0.441808i | \(0.854337\pi\) | |||||||
\(984\) | −2623.97 | − | 3611.58i | −0.0850091 | − | 0.117005i | ||||
\(985\) | −3153.34 | + | 18553.8i | −0.102004 | + | 0.600176i | ||||
\(986\) | 6007.81 | − | 1952.06i | 0.194044 | − | 0.0630489i | ||||
\(987\) | 4222.79 | + | 8287.69i | 0.136183 | + | 0.267275i | ||||
\(988\) | −17678.9 | + | 2800.07i | −0.569274 | + | 0.0901641i | ||||
\(989\) | −84659.7 | −2.72196 | ||||||||
\(990\) | 257.449 | + | 2304.66i | 0.00826491 | + | 0.0739867i | ||||
\(991\) | 23014.2 | 0.737709 | 0.368855 | − | 0.929487i | \(-0.379750\pi\) | ||||
0.368855 | + | 0.929487i | \(0.379750\pi\) | |||||||
\(992\) | 966.626 | − | 153.099i | 0.0309379 | − | 0.00490008i | ||||
\(993\) | −9020.90 | − | 17704.5i | −0.288287 | − | 0.565796i | ||||
\(994\) | −221.260 | + | 71.8918i | −0.00706031 | + | 0.00229403i | ||||
\(995\) | −27028.6 | − | 38097.2i | −0.861172 | − | 1.21383i | ||||
\(996\) | 4182.77 | + | 5757.09i | 0.133069 | + | 0.183153i | ||||
\(997\) | 42345.4 | + | 21576.1i | 1.34513 | + | 0.685377i | 0.970342 | − | 0.241734i | \(-0.0777163\pi\) |
0.374786 | + | 0.927111i | \(0.377716\pi\) | |||||||
\(998\) | −4584.47 | + | 2335.90i | −0.145410 | + | 0.0740899i | ||||
\(999\) | −3917.17 | + | 5391.52i | −0.124058 | + | 0.170751i |
(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 | 165.4.w.a.7.18 | ✓ | 288 | |
5.3 | odd | 4 | inner | 165.4.w.a.73.19 | yes | 288 | |
11.8 | odd | 10 | inner | 165.4.w.a.52.19 | yes | 288 | |
55.8 | even | 20 | inner | 165.4.w.a.118.18 | yes | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
165.4.w.a.7.18 | ✓ | 288 | 1.1 | even | 1 | trivial | |
165.4.w.a.52.19 | yes | 288 | 11.8 | odd | 10 | inner | |
165.4.w.a.73.19 | yes | 288 | 5.3 | odd | 4 | inner | |
165.4.w.a.118.18 | yes | 288 | 55.8 | even | 20 | inner |