Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [216,3,Mod(5,216)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(216, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 9, 5]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("216.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 216 = 2^{3} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 216.x (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: | \(5.88557371018\) |
Analytic rank: | \(0\) |
Dimension: | \(420\) |
Relative dimension: | \(70\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 101.25 | ||
Character | \(\chi\) | \(=\) | 216.101 |
Dual form | 216.3.x.a.77.25 |
$q$-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 \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).
\(n\) | \(55\) | \(109\) | \(137\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{7}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.896883 | + | 1.78762i | −0.448441 | + | 0.893812i | ||||
\(3\) | 2.22122 | + | 2.01648i | 0.740407 | + | 0.672158i | ||||
\(4\) | −2.39120 | − | 3.20658i | −0.597801 | − | 0.801645i | ||||
\(5\) | −1.17275 | − | 6.65098i | −0.234549 | − | 1.33020i | −0.843561 | − | 0.537034i | \(-0.819545\pi\) |
0.609012 | − | 0.793161i | \(-0.291566\pi\) | |||||||
\(6\) | −5.59688 | + | 2.16217i | −0.932813 | + | 0.360361i | ||||
\(7\) | −3.53673 | − | 2.96767i | −0.505247 | − | 0.423953i | 0.354206 | − | 0.935168i | \(-0.384751\pi\) |
−0.859453 | + | 0.511215i | \(0.829196\pi\) | |||||||
\(8\) | 7.87679 | − | 1.39864i | 0.984599 | − | 0.174831i | ||||
\(9\) | 0.867653 | + | 8.95808i | 0.0964059 | + | 0.995342i | ||||
\(10\) | 12.9413 | + | 3.86872i | 1.29413 | + | 0.386872i | ||||
\(11\) | 0.262671 | − | 1.48968i | 0.0238792 | − | 0.135426i | −0.970538 | − | 0.240950i | \(-0.922541\pi\) |
0.994417 | + | 0.105524i | \(0.0336521\pi\) | |||||||
\(12\) | 1.15460 | − | 11.9443i | 0.0962166 | − | 0.995360i | ||||
\(13\) | 7.29340 | − | 20.0384i | 0.561031 | − | 1.54142i | −0.257099 | − | 0.966385i | \(-0.582767\pi\) |
0.818130 | − | 0.575034i | \(-0.195011\pi\) | |||||||
\(14\) | 8.47712 | − | 3.66070i | 0.605508 | − | 0.261478i | ||||
\(15\) | 10.8066 | − | 17.1381i | 0.720440 | − | 1.14254i | ||||
\(16\) | −4.56431 | + | 15.3352i | −0.285269 | + | 0.958447i | ||||
\(17\) | 24.0282 | − | 13.8727i | 1.41342 | − | 0.816040i | 0.417713 | − | 0.908579i | \(-0.362832\pi\) |
0.995709 | + | 0.0925390i | \(0.0294983\pi\) | |||||||
\(18\) | −16.7919 | − | 6.48331i | −0.932881 | − | 0.360184i | ||||
\(19\) | −7.52360 | − | 4.34375i | −0.395979 | − | 0.228618i | 0.288769 | − | 0.957399i | \(-0.406754\pi\) |
−0.684747 | + | 0.728780i | \(0.740087\pi\) | |||||||
\(20\) | −18.5226 | + | 19.6643i | −0.926130 | + | 0.983216i | ||||
\(21\) | −1.87163 | − | 13.7236i | −0.0891253 | − | 0.653504i | ||||
\(22\) | 2.42741 | + | 1.80563i | 0.110337 | + | 0.0820741i | ||||
\(23\) | 0.193029 | + | 0.230043i | 0.00839257 | + | 0.0100019i | 0.770224 | − | 0.637773i | \(-0.220144\pi\) |
−0.761832 | + | 0.647775i | \(0.775700\pi\) | |||||||
\(24\) | 20.3164 | + | 12.7767i | 0.846518 | + | 0.532360i | ||||
\(25\) | −19.3678 | + | 7.04931i | −0.774713 | + | 0.281972i | ||||
\(26\) | 29.2799 | + | 31.0100i | 1.12615 | + | 1.19269i | ||||
\(27\) | −16.1365 | + | 21.6475i | −0.597648 | + | 0.801759i | ||||
\(28\) | −1.05903 | + | 18.4371i | −0.0378225 | + | 0.658468i | ||||
\(29\) | 34.3747 | − | 12.5114i | 1.18533 | − | 0.431426i | 0.327250 | − | 0.944938i | \(-0.393878\pi\) |
0.858083 | + | 0.513512i | \(0.171656\pi\) | |||||||
\(30\) | 20.9442 | + | 34.6890i | 0.698141 | + | 1.15630i | ||||
\(31\) | −15.7150 | + | 13.1865i | −0.506937 | + | 0.425370i | −0.860050 | − | 0.510210i | \(-0.829568\pi\) |
0.353113 | + | 0.935581i | \(0.385123\pi\) | |||||||
\(32\) | −23.3199 | − | 21.9131i | −0.728746 | − | 0.684785i | ||||
\(33\) | 3.58736 | − | 2.77925i | 0.108708 | − | 0.0842196i | ||||
\(34\) | 3.24867 | + | 55.3955i | 0.0955491 | + | 1.62928i | ||||
\(35\) | −15.5902 | + | 27.0030i | −0.445435 | + | 0.771515i | ||||
\(36\) | 26.6501 | − | 24.2028i | 0.740279 | − | 0.672299i | ||||
\(37\) | −51.2331 | + | 29.5794i | −1.38468 | + | 0.799444i | −0.992709 | − | 0.120534i | \(-0.961539\pi\) |
−0.391969 | + | 0.919979i | \(0.628206\pi\) | |||||||
\(38\) | 14.5128 | − | 9.55353i | 0.381915 | − | 0.251409i | ||||
\(39\) | 56.6073 | − | 29.8029i | 1.45147 | − | 0.764176i | ||||
\(40\) | −18.5398 | − | 50.7481i | −0.463496 | − | 1.26870i | ||||
\(41\) | 9.84988 | − | 27.0623i | 0.240241 | − | 0.660057i | −0.759711 | − | 0.650261i | \(-0.774660\pi\) |
0.999952 | − | 0.00979585i | \(-0.00311816\pi\) | |||||||
\(42\) | 26.2113 | + | 8.96268i | 0.624078 | + | 0.213397i | ||||
\(43\) | −11.8578 | − | 2.09086i | −0.275764 | − | 0.0486246i | 0.0340560 | − | 0.999420i | \(-0.489158\pi\) |
−0.309820 | + | 0.950795i | \(0.600269\pi\) | |||||||
\(44\) | −5.40489 | + | 2.71986i | −0.122838 | + | 0.0618149i | ||||
\(45\) | 58.5624 | − | 16.2763i | 1.30139 | − | 0.361695i | ||||
\(46\) | −0.584355 | + | 0.138742i | −0.0127034 | + | 0.00301613i | ||||
\(47\) | 24.8603 | − | 29.6273i | 0.528942 | − | 0.630368i | −0.433729 | − | 0.901043i | \(-0.642802\pi\) |
0.962671 | + | 0.270675i | \(0.0872469\pi\) | |||||||
\(48\) | −41.0613 | + | 24.8590i | −0.855444 | + | 0.517895i | ||||
\(49\) | −4.80736 | − | 27.2639i | −0.0981093 | − | 0.556405i | ||||
\(50\) | 4.76915 | − | 40.9448i | 0.0953830 | − | 0.818896i | ||||
\(51\) | 81.3458 | + | 17.6379i | 1.59502 | + | 0.345842i | ||||
\(52\) | −81.6949 | + | 24.5291i | −1.57105 | + | 0.471714i | ||||
\(53\) | 13.4919 | 0.254564 | 0.127282 | − | 0.991867i | \(-0.459375\pi\) | ||||
0.127282 | + | 0.991867i | \(0.459375\pi\) | |||||||
\(54\) | −24.2250 | − | 48.2613i | −0.448611 | − | 0.893727i | ||||
\(55\) | −10.2159 | −0.185744 | ||||||||
\(56\) | −32.0088 | − | 18.4291i | −0.571586 | − | 0.329091i | ||||
\(57\) | −7.95251 | − | 24.8196i | −0.139518 | − | 0.435431i | ||||
\(58\) | −8.46444 | + | 72.6702i | −0.145939 | + | 1.25293i | ||||
\(59\) | 16.1605 | + | 91.6506i | 0.273906 | + | 1.55340i | 0.742414 | + | 0.669941i | \(0.233681\pi\) |
−0.468508 | + | 0.883459i | \(0.655208\pi\) | |||||||
\(60\) | −80.7955 | + | 6.32846i | −1.34659 | + | 0.105474i | ||||
\(61\) | −48.6442 | + | 57.9719i | −0.797446 | + | 0.950359i | −0.999579 | − | 0.0289990i | \(-0.990768\pi\) |
0.202134 | + | 0.979358i | \(0.435212\pi\) | |||||||
\(62\) | −9.47793 | − | 39.9193i | −0.152870 | − | 0.643860i | ||||
\(63\) | 23.5160 | − | 34.2572i | 0.373269 | − | 0.543766i | ||||
\(64\) | 60.0876 | − | 22.0337i | 0.938869 | − | 0.344276i | ||||
\(65\) | −141.829 | − | 25.0082i | −2.18198 | − | 0.384741i | ||||
\(66\) | 1.75081 | + | 8.90551i | 0.0265274 | + | 0.134932i | ||||
\(67\) | 32.0270 | − | 87.9936i | 0.478015 | − | 1.31334i | −0.433160 | − | 0.901317i | \(-0.642601\pi\) |
0.911175 | − | 0.412019i | \(-0.135176\pi\) | |||||||
\(68\) | −101.940 | − | 43.8759i | −1.49912 | − | 0.645234i | ||||
\(69\) | −0.0351159 | + | 0.900216i | −0.000508926 | + | 0.0130466i | ||||
\(70\) | −34.2887 | − | 52.0880i | −0.489839 | − | 0.744114i | ||||
\(71\) | −5.14249 | + | 2.96902i | −0.0724294 | + | 0.0418171i | −0.535777 | − | 0.844359i | \(-0.679981\pi\) |
0.463348 | + | 0.886176i | \(0.346648\pi\) | |||||||
\(72\) | 19.3635 | + | 69.3474i | 0.268937 | + | 0.963158i | ||||
\(73\) | −13.7221 | + | 23.7675i | −0.187975 | + | 0.325582i | −0.944575 | − | 0.328296i | \(-0.893526\pi\) |
0.756600 | + | 0.653878i | \(0.226859\pi\) | |||||||
\(74\) | −6.92684 | − | 118.115i | −0.0936060 | − | 1.59615i | ||||
\(75\) | −57.2350 | − | 23.3967i | −0.763133 | − | 0.311955i | ||||
\(76\) | 4.06186 | + | 34.5118i | 0.0534455 | + | 0.454103i | ||||
\(77\) | −5.34989 | + | 4.48909i | −0.0694791 | + | 0.0582999i | ||||
\(78\) | 2.50624 | + | 127.922i | 0.0321313 | + | 1.64003i | ||||
\(79\) | 99.9884 | − | 36.3928i | 1.26568 | − | 0.460668i | 0.380006 | − | 0.924984i | \(-0.375922\pi\) |
0.885670 | + | 0.464316i | \(0.153700\pi\) | |||||||
\(80\) | 107.347 | + | 12.3728i | 1.34183 | + | 0.154660i | ||||
\(81\) | −79.4944 | + | 15.5450i | −0.981412 | + | 0.191914i | ||||
\(82\) | 39.5431 | + | 41.8796i | 0.482233 | + | 0.510727i | ||||
\(83\) | −80.7850 | + | 29.4033i | −0.973313 | + | 0.354257i | −0.779237 | − | 0.626729i | \(-0.784393\pi\) |
−0.194076 | + | 0.980986i | \(0.562171\pi\) | |||||||
\(84\) | −39.5303 | + | 38.8174i | −0.470599 | + | 0.462112i | ||||
\(85\) | −120.446 | − | 143.542i | −1.41701 | − | 1.68873i | ||||
\(86\) | 14.3728 | − | 19.3221i | 0.167125 | − | 0.224676i | ||||
\(87\) | 101.583 | + | 41.5252i | 1.16762 | + | 0.477301i | ||||
\(88\) | −0.0145308 | − | 12.1013i | −0.000165123 | − | 0.137515i | ||||
\(89\) | −15.4244 | − | 8.90528i | −0.173308 | − | 0.100059i | 0.410837 | − | 0.911709i | \(-0.365237\pi\) |
−0.584145 | + | 0.811650i | \(0.698570\pi\) | |||||||
\(90\) | −23.4277 | + | 119.286i | −0.260308 | + | 1.32539i | ||||
\(91\) | −85.2623 | + | 49.2262i | −0.936948 | + | 0.540947i | ||||
\(92\) | 0.276080 | − | 1.16904i | 0.00300087 | − | 0.0127070i | ||||
\(93\) | −61.4968 | − | 2.39889i | −0.661256 | − | 0.0257945i | ||||
\(94\) | 30.6658 | + | 71.0131i | 0.326232 | + | 0.755458i | ||||
\(95\) | −20.0669 | + | 55.1334i | −0.211231 | + | 0.580351i | ||||
\(96\) | −7.61133 | − | 95.6978i | −0.0792847 | − | 0.996852i | ||||
\(97\) | −3.49905 | + | 19.8441i | −0.0360727 | + | 0.204579i | −0.997517 | − | 0.0704197i | \(-0.977566\pi\) |
0.961445 | + | 0.274998i | \(0.0886773\pi\) | |||||||
\(98\) | 53.0492 | + | 15.8588i | 0.541318 | + | 0.161824i | ||||
\(99\) | 13.5726 | + | 1.06050i | 0.137097 | + | 0.0107121i | ||||
\(100\) | 68.9165 | + | 45.2481i | 0.689165 | + | 0.452481i | ||||
\(101\) | −34.9272 | − | 29.3074i | −0.345814 | − | 0.290172i | 0.453293 | − | 0.891362i | \(-0.350249\pi\) |
−0.799107 | + | 0.601189i | \(0.794694\pi\) | |||||||
\(102\) | −104.488 | + | 129.597i | −1.02439 | + | 1.27056i | ||||
\(103\) | 33.1318 | + | 187.900i | 0.321668 | + | 1.82427i | 0.532122 | + | 0.846668i | \(0.321395\pi\) |
−0.210454 | + | 0.977604i | \(0.567494\pi\) | |||||||
\(104\) | 29.4219 | − | 168.039i | 0.282903 | − | 1.61576i | ||||
\(105\) | −89.0803 | + | 28.5425i | −0.848384 | + | 0.271833i | ||||
\(106\) | −12.1007 | + | 24.1185i | −0.114157 | + | 0.227533i | ||||
\(107\) | 185.803 | 1.73647 | 0.868237 | − | 0.496150i | \(-0.165253\pi\) | ||||
0.868237 | + | 0.496150i | \(0.165253\pi\) | |||||||
\(108\) | 108.000 | − | 0.0205447i | 1.00000 | − | 0.000190229i | ||||
\(109\) | − | 134.904i | − | 1.23765i | −0.785529 | − | 0.618825i | \(-0.787609\pi\) | ||
0.785529 | − | 0.618825i | \(-0.212391\pi\) | |||||||
\(110\) | 9.16246 | − | 18.2622i | 0.0832951 | − | 0.166020i | ||||
\(111\) | −173.446 | − | 37.6078i | −1.56258 | − | 0.338809i | ||||
\(112\) | 61.6524 | − | 40.6910i | 0.550468 | − | 0.363312i | ||||
\(113\) | 97.6617 | − | 17.2204i | 0.864262 | − | 0.152393i | 0.276093 | − | 0.961131i | \(-0.410960\pi\) |
0.588169 | + | 0.808738i | \(0.299849\pi\) | |||||||
\(114\) | 51.5006 | + | 8.04416i | 0.451759 | + | 0.0705628i | ||||
\(115\) | 1.30364 | − | 1.55361i | 0.0113360 | − | 0.0135097i | ||||
\(116\) | −122.315 | − | 80.3079i | −1.05444 | − | 0.692310i | ||||
\(117\) | 185.834 | + | 47.9484i | 1.58833 | + | 0.409815i | ||||
\(118\) | −178.331 | − | 53.3110i | −1.51128 | − | 0.451788i | ||||
\(119\) | −126.151 | − | 22.2438i | −1.06009 | − | 0.186923i | ||||
\(120\) | 61.1512 | − | 150.108i | 0.509593 | − | 1.25090i | ||||
\(121\) | 111.553 | + | 40.6018i | 0.921923 | + | 0.335552i | ||||
\(122\) | −60.0038 | − | 138.952i | −0.491835 | − | 1.13895i | ||||
\(123\) | 76.4493 | − | 40.2494i | 0.621539 | − | 0.327231i | ||||
\(124\) | 79.8613 | + | 18.8600i | 0.644043 | + | 0.152097i | ||||
\(125\) | −14.8214 | − | 25.6714i | −0.118571 | − | 0.205371i | ||||
\(126\) | 40.1480 | + | 72.7625i | 0.318635 | + | 0.577480i | ||||
\(127\) | 24.6917 | − | 42.7672i | 0.194423 | − | 0.336750i | −0.752288 | − | 0.658834i | \(-0.771050\pi\) |
0.946711 | + | 0.322084i | \(0.104383\pi\) | |||||||
\(128\) | −14.5036 | + | 127.176i | −0.113310 | + | 0.993560i | ||||
\(129\) | −22.1227 | − | 28.5553i | −0.171494 | − | 0.221359i | ||||
\(130\) | 171.909 | − | 231.107i | 1.32238 | − | 1.77774i | ||||
\(131\) | −169.319 | + | 142.076i | −1.29251 | + | 1.08455i | −0.301127 | + | 0.953584i | \(0.597363\pi\) |
−0.991387 | + | 0.130964i | \(0.958193\pi\) | |||||||
\(132\) | −17.4900 | − | 4.85742i | −0.132500 | − | 0.0367986i | ||||
\(133\) | 13.7181 | + | 37.6902i | 0.103144 | + | 0.283385i | ||||
\(134\) | 128.575 | + | 136.172i | 0.959514 | + | 1.01621i | ||||
\(135\) | 162.901 | + | 81.9364i | 1.20667 | + | 0.606937i | ||||
\(136\) | 169.862 | − | 142.879i | 1.24898 | − | 1.05058i | ||||
\(137\) | 73.0046 | + | 200.579i | 0.532881 | + | 1.46408i | 0.855627 | + | 0.517592i | \(0.173172\pi\) |
−0.322747 | + | 0.946485i | \(0.604606\pi\) | |||||||
\(138\) | −1.57775 | − | 0.870162i | −0.0114330 | − | 0.00630552i | ||||
\(139\) | 38.1115 | + | 45.4195i | 0.274183 | + | 0.326759i | 0.885511 | − | 0.464619i | \(-0.153809\pi\) |
−0.611328 | + | 0.791378i | \(0.709364\pi\) | |||||||
\(140\) | 123.867 | − | 14.5785i | 0.884763 | − | 0.104132i | ||||
\(141\) | 114.963 | − | 15.6787i | 0.815340 | − | 0.111197i | ||||
\(142\) | −0.695277 | − | 11.8557i | −0.00489632 | − | 0.0834908i | ||||
\(143\) | −27.9352 | − | 16.1284i | −0.195351 | − | 0.112786i | ||||
\(144\) | −141.334 | − | 27.5818i | −0.981485 | − | 0.191540i | ||||
\(145\) | −123.525 | − | 213.952i | −0.851900 | − | 1.47553i | ||||
\(146\) | −30.1801 | − | 45.8467i | −0.206713 | − | 0.314018i | ||||
\(147\) | 44.2987 | − | 70.2530i | 0.301352 | − | 0.477912i | ||||
\(148\) | 217.357 | + | 93.5526i | 1.46863 | + | 0.632112i | ||||
\(149\) | 92.2544 | + | 33.5779i | 0.619157 | + | 0.225355i | 0.632505 | − | 0.774556i | \(-0.282027\pi\) |
−0.0133481 | + | 0.999911i | \(0.504249\pi\) | |||||||
\(150\) | 93.1575 | − | 81.3306i | 0.621050 | − | 0.542204i | ||||
\(151\) | −30.3340 | + | 172.033i | −0.200888 | + | 1.13929i | 0.702893 | + | 0.711295i | \(0.251891\pi\) |
−0.903781 | + | 0.427995i | \(0.859220\pi\) | |||||||
\(152\) | −65.3371 | − | 23.6920i | −0.429850 | − | 0.155868i | ||||
\(153\) | 145.121 | + | 203.210i | 0.948501 | + | 1.32817i | ||||
\(154\) | −3.22658 | − | 13.5898i | −0.0209518 | − | 0.0882453i | ||||
\(155\) | 106.133 | + | 89.0559i | 0.684727 | + | 0.574554i | ||||
\(156\) | −230.925 | − | 110.251i | −1.48029 | − | 0.706738i | ||||
\(157\) | 19.9968 | − | 3.52597i | 0.127368 | − | 0.0224584i | −0.109601 | − | 0.993976i | \(-0.534957\pi\) |
0.236969 | + | 0.971517i | \(0.423846\pi\) | |||||||
\(158\) | −24.6212 | + | 211.382i | −0.155831 | + | 1.33786i | ||||
\(159\) | 29.9685 | + | 27.2061i | 0.188481 | + | 0.171108i | ||||
\(160\) | −118.395 | + | 180.798i | −0.739970 | + | 1.12999i | ||||
\(161\) | − | 1.38645i | − | 0.00861148i | ||||||
\(162\) | 43.5085 | − | 156.048i | 0.268571 | − | 0.963260i | ||||
\(163\) | 25.6271i | 0.157221i | 0.996905 | + | 0.0786106i | \(0.0250484\pi\) | ||||
−0.996905 | + | 0.0786106i | \(0.974952\pi\) | |||||||
\(164\) | −110.331 | + | 33.1271i | −0.672747 | + | 0.201994i | ||||
\(165\) | −22.6918 | − | 20.6001i | −0.137526 | − | 0.124849i | ||||
\(166\) | 19.8926 | − | 170.785i | 0.119835 | − | 1.02882i | ||||
\(167\) | 85.9494 | − | 15.1552i | 0.514667 | − | 0.0907497i | 0.0897186 | − | 0.995967i | \(-0.471403\pi\) |
0.424949 | + | 0.905217i | \(0.360292\pi\) | |||||||
\(168\) | −33.9369 | − | 105.480i | −0.202005 | − | 0.627857i | ||||
\(169\) | −218.884 | − | 183.666i | −1.29517 | − | 1.08678i | ||||
\(170\) | 364.624 | − | 86.5717i | 2.14485 | − | 0.509245i | ||||
\(171\) | 32.3838 | − | 71.1658i | 0.189379 | − | 0.416174i | ||||
\(172\) | 21.6500 | + | 43.0228i | 0.125872 | + | 0.250132i | ||||
\(173\) | −29.4634 | + | 167.095i | −0.170308 | + | 0.965867i | 0.773112 | + | 0.634269i | \(0.218699\pi\) |
−0.943421 | + | 0.331598i | \(0.892412\pi\) | |||||||
\(174\) | −165.339 | + | 144.348i | −0.950225 | + | 0.829588i | ||||
\(175\) | 89.4188 | + | 32.5458i | 0.510965 | + | 0.185976i | ||||
\(176\) | 21.6456 | + | 10.8275i | 0.122986 | + | 0.0615198i | ||||
\(177\) | −148.915 | + | 236.164i | −0.841329 | + | 1.33426i | ||||
\(178\) | 29.7532 | − | 19.5860i | 0.167153 | − | 0.110034i | ||||
\(179\) | 22.6142 | + | 39.1690i | 0.126336 | + | 0.218821i | 0.922255 | − | 0.386583i | \(-0.126345\pi\) |
−0.795918 | + | 0.605404i | \(0.793011\pi\) | |||||||
\(180\) | −192.226 | − | 148.865i | −1.06792 | − | 0.827029i | ||||
\(181\) | 6.62060 | + | 3.82241i | 0.0365779 | + | 0.0211183i | 0.518177 | − | 0.855273i | \(-0.326611\pi\) |
−0.481600 | + | 0.876391i | \(0.659944\pi\) | |||||||
\(182\) | −11.5277 | − | 196.567i | −0.0633389 | − | 1.08004i | ||||
\(183\) | −224.948 | + | 30.6786i | −1.22923 | + | 0.167643i | ||||
\(184\) | 1.84220 | + | 1.54202i | 0.0100120 | + | 0.00838056i | ||||
\(185\) | 256.815 | + | 306.061i | 1.38819 | + | 1.65438i | ||||
\(186\) | 59.4437 | − | 107.782i | 0.319590 | − | 0.579471i | ||||
\(187\) | −14.3544 | − | 39.4383i | −0.0767614 | − | 0.210900i | ||||
\(188\) | −154.448 | − | 8.87154i | −0.821533 | − | 0.0471890i | ||||
\(189\) | 121.313 | − | 28.6735i | 0.641868 | − | 0.151712i | ||||
\(190\) | −80.5601 | − | 85.3203i | −0.424000 | − | 0.449054i | ||||
\(191\) | −66.6588 | − | 183.144i | −0.348999 | − | 0.958867i | −0.982686 | − | 0.185278i | \(-0.940682\pi\) |
0.633687 | − | 0.773590i | \(-0.281541\pi\) | |||||||
\(192\) | 177.898 | + | 72.2235i | 0.926553 | + | 0.376164i | ||||
\(193\) | −177.211 | + | 148.697i | −0.918190 | + | 0.770453i | −0.973659 | − | 0.228007i | \(-0.926779\pi\) |
0.0554691 | + | 0.998460i | \(0.482335\pi\) | |||||||
\(194\) | −32.3356 | − | 24.0528i | −0.166678 | − | 0.123984i | ||||
\(195\) | −264.604 | − | 341.542i | −1.35694 | − | 1.75150i | ||||
\(196\) | −75.9284 | + | 80.6086i | −0.387390 | + | 0.411268i | ||||
\(197\) | −98.1177 | + | 169.945i | −0.498059 | + | 0.862664i | −0.999997 | − | 0.00223957i | \(-0.999287\pi\) |
0.501938 | + | 0.864903i | \(0.332620\pi\) | |||||||
\(198\) | −14.0688 | + | 23.3116i | −0.0710546 | + | 0.117735i | ||||
\(199\) | −93.8065 | − | 162.478i | −0.471389 | − | 0.816470i | 0.528075 | − | 0.849198i | \(-0.322914\pi\) |
−0.999464 | + | 0.0327275i | \(0.989581\pi\) | |||||||
\(200\) | −142.697 | + | 82.6146i | −0.713484 | + | 0.413073i | ||||
\(201\) | 248.576 | − | 130.871i | 1.23670 | − | 0.651102i | ||||
\(202\) | 83.7162 | − | 36.1514i | 0.414437 | − | 0.178967i | ||||
\(203\) | −158.704 | − | 57.7634i | −0.781791 | − | 0.284549i | ||||
\(204\) | −137.957 | − | 303.018i | −0.676259 | − | 1.48538i | ||||
\(205\) | −191.542 | − | 33.7741i | −0.934352 | − | 0.164752i | ||||
\(206\) | −365.610 | − | 109.297i | −1.77481 | − | 0.530568i | ||||
\(207\) | −1.89326 | + | 1.92877i | −0.00914620 | + | 0.00931772i | ||||
\(208\) | 274.003 | + | 203.307i | 1.31732 | + | 0.977438i | ||||
\(209\) | −8.44704 | + | 10.0668i | −0.0404165 | + | 0.0481665i | ||||
\(210\) | 28.8714 | − | 184.841i | 0.137483 | − | 0.880197i | ||||
\(211\) | 340.134 | − | 59.9747i | 1.61201 | − | 0.284240i | 0.706226 | − | 0.707986i | \(-0.250396\pi\) |
0.905781 | + | 0.423746i | \(0.139285\pi\) | |||||||
\(212\) | −32.2619 | − | 43.2629i | −0.152179 | − | 0.204070i | ||||
\(213\) | −17.4095 | − | 3.77485i | −0.0817350 | − | 0.0177223i | ||||
\(214\) | −166.643 | + | 332.145i | −0.778707 | + | 1.55208i | ||||
\(215\) | 81.3182i | 0.378224i | ||||||||
\(216\) | −96.8266 | + | 193.082i | −0.448271 | + | 0.893897i | ||||
\(217\) | 94.7130 | 0.436466 | ||||||||
\(218\) | 241.157 | + | 120.993i | 1.10623 | + | 0.555014i | ||||
\(219\) | −78.4064 | + | 25.1224i | −0.358020 | + | 0.114714i | ||||
\(220\) | 24.4283 | + | 32.7581i | 0.111038 | + | 0.148900i | ||||
\(221\) | −102.740 | − | 582.666i | −0.464886 | − | 2.63650i | ||||
\(222\) | 222.790 | − | 276.327i | 1.00356 | − | 1.24472i | ||||
\(223\) | 60.5699 | + | 50.8242i | 0.271614 | + | 0.227911i | 0.768413 | − | 0.639955i | \(-0.221047\pi\) |
−0.496799 | + | 0.867866i | \(0.665491\pi\) | |||||||
\(224\) | 17.4452 | + | 146.706i | 0.0778804 | + | 0.654939i | ||||
\(225\) | −79.9528 | − | 167.382i | −0.355346 | − | 0.743920i | ||||
\(226\) | −56.8075 | + | 190.027i | −0.251361 | + | 0.840828i | ||||
\(227\) | −55.5632 | + | 315.115i | −0.244772 | + | 1.38817i | 0.576250 | + | 0.817274i | \(0.304516\pi\) |
−0.821022 | + | 0.570897i | \(0.806595\pi\) | |||||||
\(228\) | −60.5699 | + | 84.8490i | −0.265657 | + | 0.372145i | ||||
\(229\) | −144.032 | + | 395.724i | −0.628959 | + | 1.72805i | 0.0549550 | + | 0.998489i | \(0.482498\pi\) |
−0.683914 | + | 0.729562i | \(0.739724\pi\) | |||||||
\(230\) | 1.60807 | + | 3.72382i | 0.00699161 | + | 0.0161905i | ||||
\(231\) | −20.9354 | − | 0.816655i | −0.0906295 | − | 0.00353530i | ||||
\(232\) | 253.263 | − | 146.627i | 1.09165 | − | 0.632014i | ||||
\(233\) | 309.337 | − | 178.596i | 1.32763 | − | 0.766505i | 0.342693 | − | 0.939447i | \(-0.388661\pi\) |
0.984932 | + | 0.172943i | \(0.0553275\pi\) | |||||||
\(234\) | −252.385 | + | 289.197i | −1.07857 | + | 1.23589i | ||||
\(235\) | −226.205 | − | 130.600i | −0.962576 | − | 0.555743i | ||||
\(236\) | 255.242 | − | 270.975i | 1.08153 | − | 1.14820i | ||||
\(237\) | 295.482 | + | 120.788i | 1.24676 | + | 0.509652i | ||||
\(238\) | 152.906 | − | 205.560i | 0.642462 | − | 0.863698i | ||||
\(239\) | −42.6736 | − | 50.8564i | −0.178551 | − | 0.212788i | 0.669345 | − | 0.742952i | \(-0.266575\pi\) |
−0.847895 | + | 0.530164i | \(0.822130\pi\) | |||||||
\(240\) | 213.491 | + | 243.944i | 0.889546 | + | 1.01644i | ||||
\(241\) | 211.125 | − | 76.8430i | 0.876035 | − | 0.318851i | 0.135427 | − | 0.990787i | \(-0.456759\pi\) |
0.740609 | + | 0.671937i | \(0.234537\pi\) | |||||||
\(242\) | −172.631 | + | 162.999i | −0.713349 | + | 0.673550i | ||||
\(243\) | −207.921 | − | 125.769i | −0.855641 | − | 0.517570i | ||||
\(244\) | 302.210 | + | 17.3590i | 1.23856 | + | 0.0711433i | ||||
\(245\) | −175.693 | + | 63.9472i | −0.717116 | + | 0.261009i | ||||
\(246\) | 3.38472 | + | 172.762i | 0.0137590 | + | 0.702283i | ||||
\(247\) | −141.915 | + | 119.080i | −0.574553 | + | 0.482107i | ||||
\(248\) | −105.341 | + | 125.847i | −0.424761 | + | 0.507447i | ||||
\(249\) | −238.733 | − | 97.5897i | −0.958765 | − | 0.391926i | ||||
\(250\) | 59.1839 | − | 3.47084i | 0.236735 | − | 0.0138833i | ||||
\(251\) | 15.5259 | − | 26.8916i | 0.0618560 | − | 0.107138i | −0.833439 | − | 0.552611i | \(-0.813631\pi\) |
0.895295 | + | 0.445474i | \(0.146965\pi\) | |||||||
\(252\) | −166.080 | + | 6.51014i | −0.659048 | + | 0.0258339i | ||||
\(253\) | 0.393395 | − | 0.227127i | 0.00155492 | − | 0.000897734i | ||||
\(254\) | 54.3062 | + | 82.4967i | 0.213804 | + | 0.324790i | ||||
\(255\) | 21.9115 | − | 561.714i | 0.0859275 | − | 2.20280i | ||||
\(256\) | −214.334 | − | 139.989i | −0.837243 | − | 0.546831i | ||||
\(257\) | 69.7447 | − | 191.622i | 0.271380 | − | 0.745611i | −0.726886 | − | 0.686758i | \(-0.759033\pi\) |
0.998267 | − | 0.0588532i | \(-0.0187444\pi\) | |||||||
\(258\) | 70.8876 | − | 13.9364i | 0.274758 | − | 0.0540169i | ||||
\(259\) | 268.980 | + | 47.4284i | 1.03853 | + | 0.183121i | ||||
\(260\) | 258.950 | + | 514.584i | 0.995961 | + | 1.97917i | ||||
\(261\) | 141.903 | + | 297.075i | 0.543690 | + | 1.13822i | ||||
\(262\) | −102.119 | − | 430.105i | −0.389765 | − | 1.64162i | ||||
\(263\) | −71.1094 | + | 84.7449i | −0.270378 | + | 0.322224i | −0.884100 | − | 0.467299i | \(-0.845227\pi\) |
0.613722 | + | 0.789522i | \(0.289672\pi\) | |||||||
\(264\) | 24.3697 | − | 26.9090i | 0.0923095 | − | 0.101928i | ||||
\(265\) | −15.8226 | − | 89.7344i | −0.0597079 | − | 0.338620i | ||||
\(266\) | −79.6795 | − | 9.28088i | −0.299547 | − | 0.0348905i | ||||
\(267\) | −16.3037 | − | 50.8835i | −0.0610626 | − | 0.190575i | ||||
\(268\) | −358.741 | + | 107.713i | −1.33859 | + | 0.401915i | ||||
\(269\) | 272.800 | 1.01413 | 0.507064 | − | 0.861909i | \(-0.330731\pi\) | ||||
0.507064 | + | 0.861909i | \(0.330731\pi\) | |||||||
\(270\) | −292.575 | + | 217.718i | −1.08361 | + | 0.806364i | ||||
\(271\) | −379.900 | −1.40185 | −0.700923 | − | 0.713237i | \(-0.747228\pi\) | ||||
−0.700923 | + | 0.713237i | \(0.747228\pi\) | |||||||
\(272\) | 103.068 | + | 431.795i | 0.378926 | + | 1.58748i | ||||
\(273\) | −288.650 | − | 62.5870i | −1.05733 | − | 0.229256i | ||||
\(274\) | −424.036 | − | 49.3906i | −1.54758 | − | 0.180258i | ||||
\(275\) | 5.41387 | + | 30.7036i | 0.0196868 | + | 0.111649i | ||||
\(276\) | 2.97058 | − | 2.04000i | 0.0107630 | − | 0.00739129i | ||||
\(277\) | 45.8845 | − | 54.6830i | 0.165648 | − | 0.197412i | −0.676835 | − | 0.736135i | \(-0.736649\pi\) |
0.842483 | + | 0.538723i | \(0.181093\pi\) | |||||||
\(278\) | −115.374 | + | 27.3930i | −0.415016 | + | 0.0985361i | ||||
\(279\) | −131.761 | − | 129.335i | −0.472261 | − | 0.463567i | ||||
\(280\) | −85.0332 | + | 234.502i | −0.303690 | + | 0.837509i | ||||
\(281\) | −124.554 | − | 21.9623i | −0.443254 | − | 0.0781577i | −0.0524334 | − | 0.998624i | \(-0.516698\pi\) |
−0.390821 | + | 0.920467i | \(0.627809\pi\) | |||||||
\(282\) | −75.0806 | + | 219.573i | −0.266243 | + | 0.778626i | ||||
\(283\) | 25.1636 | − | 69.1363i | 0.0889172 | − | 0.244298i | −0.887261 | − | 0.461267i | \(-0.847395\pi\) |
0.976178 | + | 0.216969i | \(0.0696172\pi\) | |||||||
\(284\) | 21.8171 | + | 9.39027i | 0.0768208 | + | 0.0330643i | ||||
\(285\) | −155.748 | + | 81.9990i | −0.546485 | + | 0.287716i | ||||
\(286\) | 53.8861 | − | 35.4723i | 0.188413 | − | 0.124029i | ||||
\(287\) | −115.148 | + | 66.4810i | −0.401214 | + | 0.231641i | ||||
\(288\) | 176.066 | − | 227.914i | 0.611340 | − | 0.791368i | ||||
\(289\) | 240.402 | − | 416.389i | 0.831842 | − | 1.44079i | ||||
\(290\) | 493.254 | − | 28.9269i | 1.70088 | − | 0.0997479i | ||||
\(291\) | −47.7874 | + | 37.0224i | −0.164218 | + | 0.127225i | ||||
\(292\) | 109.025 | − | 12.8316i | 0.373372 | − | 0.0439439i | ||||
\(293\) | 96.2867 | − | 80.7942i | 0.328624 | − | 0.275748i | −0.463515 | − | 0.886089i | \(-0.653412\pi\) |
0.792139 | + | 0.610341i | \(0.208968\pi\) | |||||||
\(294\) | 85.8552 | + | 142.198i | 0.292025 | + | 0.483667i | ||||
\(295\) | 590.614 | − | 214.966i | 2.00208 | − | 0.728698i | ||||
\(296\) | −362.181 | + | 304.648i | −1.22358 | + | 1.02922i | ||||
\(297\) | 28.0093 | + | 29.7244i | 0.0943074 | + | 0.100082i | ||||
\(298\) | −142.766 | + | 134.801i | −0.479080 | + | 0.452352i | ||||
\(299\) | 6.01755 | − | 2.19021i | 0.0201256 | − | 0.00732511i | ||||
\(300\) | 61.8372 | + | 239.475i | 0.206124 | + | 0.798249i | ||||
\(301\) | 35.7330 | + | 42.5850i | 0.118714 | + | 0.141478i | ||||
\(302\) | −280.324 | − | 208.519i | −0.928225 | − | 0.690461i | ||||
\(303\) | −18.4834 | − | 135.528i | −0.0610013 | − | 0.447287i | ||||
\(304\) | 100.952 | − | 95.5493i | 0.332079 | − | 0.314307i | ||||
\(305\) | 442.617 | + | 255.545i | 1.45120 | + | 0.837852i | ||||
\(306\) | −493.419 | + | 77.1660i | −1.61248 | + | 0.252176i | ||||
\(307\) | 363.521 | − | 209.879i | 1.18411 | − | 0.683646i | 0.227147 | − | 0.973860i | \(-0.427060\pi\) |
0.956962 | + | 0.290215i | \(0.0937268\pi\) | |||||||
\(308\) | 27.1873 | + | 6.42052i | 0.0882704 | + | 0.0208459i | ||||
\(309\) | −305.302 | + | 484.177i | −0.988034 | + | 1.56692i | ||||
\(310\) | −254.387 | + | 109.853i | −0.820604 | + | 0.354364i | ||||
\(311\) | −137.760 | + | 378.491i | −0.442957 | + | 1.21701i | 0.494582 | + | 0.869131i | \(0.335321\pi\) |
−0.937538 | + | 0.347882i | \(0.886901\pi\) | |||||||
\(312\) | 404.200 | − | 313.924i | 1.29551 | − | 1.00617i | ||||
\(313\) | 21.6919 | − | 123.021i | 0.0693033 | − | 0.393038i | −0.930349 | − | 0.366675i | \(-0.880496\pi\) |
0.999652 | − | 0.0263635i | \(-0.00839274\pi\) | |||||||
\(314\) | −11.6316 | + | 38.9091i | −0.0370435 | + | 0.123914i | ||||
\(315\) | −255.422 | − | 116.229i | −0.810864 | − | 0.368981i | ||||
\(316\) | −355.789 | − | 233.598i | −1.12591 | − | 0.739235i | ||||
\(317\) | −4.40653 | − | 3.69751i | −0.0139007 | − | 0.0116641i | 0.635811 | − | 0.771845i | \(-0.280666\pi\) |
−0.649712 | + | 0.760181i | \(0.725110\pi\) | |||||||
\(318\) | −75.5126 | + | 29.1718i | −0.237461 | + | 0.0917352i | ||||
\(319\) | −9.60871 | − | 54.4937i | −0.0301214 | − | 0.170827i | ||||
\(320\) | −217.013 | − | 373.801i | −0.678165 | − | 1.16813i | ||||
\(321\) | 412.709 | + | 374.667i | 1.28570 | + | 1.16719i | ||||
\(322\) | 2.47845 | + | 1.24348i | 0.00769705 | + | 0.00386174i | ||||
\(323\) | −241.038 | −0.746247 | ||||||||
\(324\) | 239.933 | + | 217.734i | 0.740535 | + | 0.672018i | ||||
\(325\) | 439.514i | 1.35235i | ||||||||
\(326\) | −45.8115 | − | 22.9845i | −0.140526 | − | 0.0705045i | ||||
\(327\) | 272.030 | − | 299.651i | 0.831897 | − | 0.916365i | ||||
\(328\) | 39.7348 | − | 226.941i | 0.121143 | − | 0.691892i | ||||
\(329\) | −175.848 | + | 31.0068i | −0.534493 | + | 0.0942456i | ||||
\(330\) | 57.1771 | − | 22.0885i | 0.173264 | − | 0.0669348i | ||||
\(331\) | −34.1666 | + | 40.7182i | −0.103222 | + | 0.123016i | −0.815182 | − | 0.579204i | \(-0.803363\pi\) |
0.711960 | + | 0.702220i | \(0.247808\pi\) | |||||||
\(332\) | 287.457 | + | 188.734i | 0.865836 | + | 0.568477i | ||||
\(333\) | −309.427 | − | 433.285i | −0.929212 | − | 1.30116i | ||||
\(334\) | −49.9948 | + | 167.238i | −0.149685 | + | 0.500712i | ||||
\(335\) | −622.803 | − | 109.817i | −1.85911 | − | 0.327812i | ||||
\(336\) | 218.996 | + | 33.9369i | 0.651774 | + | 0.101003i | ||||
\(337\) | 578.615 | + | 210.599i | 1.71696 | + | 0.624922i | 0.997569 | − | 0.0696839i | \(-0.0221991\pi\) |
0.719390 | + | 0.694606i | \(0.244421\pi\) | |||||||
\(338\) | 524.639 | − | 226.556i | 1.55218 | − | 0.670284i | ||||
\(339\) | 251.653 | + | 158.682i | 0.742338 | + | 0.468089i | ||||
\(340\) | −172.268 | + | 729.456i | −0.506670 | + | 2.14546i | ||||
\(341\) | 15.5158 | + | 26.8741i | 0.0455009 | + | 0.0788098i | ||||
\(342\) | 98.1733 | + | 121.717i | 0.287056 | + | 0.355899i | ||||
\(343\) | −177.021 | + | 306.610i | −0.516097 | + | 0.893906i | ||||
\(344\) | −96.3260 | + | 0.115665i | −0.280018 | + | 0.000336236i | ||||
\(345\) | 6.02849 | − | 0.822170i | 0.0174739 | − | 0.00238310i | ||||
\(346\) | −272.278 | − | 202.534i | −0.786931 | − | 0.585359i | ||||
\(347\) | 469.614 | − | 394.053i | 1.35336 | − | 1.13560i | 0.375382 | − | 0.926870i | \(-0.377512\pi\) |
0.977973 | − | 0.208729i | \(-0.0669328\pi\) | |||||||
\(348\) | −109.751 | − | 425.028i | −0.315376 | − | 1.22134i | ||||
\(349\) | −3.09870 | − | 8.51362i | −0.00887880 | − | 0.0243943i | 0.935174 | − | 0.354188i | \(-0.115243\pi\) |
−0.944053 | + | 0.329794i | \(0.893021\pi\) | |||||||
\(350\) | −138.378 | + | 130.658i | −0.395365 | + | 0.373307i | ||||
\(351\) | 316.092 | + | 481.234i | 0.900547 | + | 1.37104i | ||||
\(352\) | −38.7690 | + | 28.9833i | −0.110139 | + | 0.0823388i | ||||
\(353\) | −48.5823 | − | 133.479i | −0.137627 | − | 0.378127i | 0.851663 | − | 0.524090i | \(-0.175594\pi\) |
−0.989290 | + | 0.145963i | \(0.953372\pi\) | |||||||
\(354\) | −288.612 | − | 478.016i | −0.815289 | − | 1.35033i | ||||
\(355\) | 25.7777 | + | 30.7206i | 0.0726132 | + | 0.0865370i | ||||
\(356\) | 8.32736 | + | 70.7538i | 0.0233915 | + | 0.198747i | ||||
\(357\) | −235.355 | − | 303.788i | −0.659257 | − | 0.850948i | ||||
\(358\) | −90.3017 | + | 5.29575i | −0.252240 | + | 0.0147926i | ||||
\(359\) | −283.244 | − | 163.531i | −0.788980 | − | 0.455518i | 0.0506232 | − | 0.998718i | \(-0.483879\pi\) |
−0.839603 | + | 0.543200i | \(0.817213\pi\) | |||||||
\(360\) | 438.519 | − | 210.113i | 1.21811 | − | 0.583647i | ||||
\(361\) | −142.764 | − | 247.274i | −0.395467 | − | 0.684969i | ||||
\(362\) | −12.7709 | + | 8.40690i | −0.0352788 | + | 0.0232235i | ||||
\(363\) | 165.911 | + | 315.129i | 0.457054 | + | 0.868124i | ||||
\(364\) | 361.727 | + | 155.691i | 0.993756 | + | 0.427721i | ||||
\(365\) | 174.169 | + | 63.3925i | 0.477176 | + | 0.173678i | ||||
\(366\) | 146.911 | − | 429.638i | 0.401395 | − | 1.17388i | ||||
\(367\) | 12.6456 | − | 71.7170i | 0.0344568 | − | 0.195414i | −0.962720 | − | 0.270499i | \(-0.912811\pi\) |
0.997177 | + | 0.0750843i | \(0.0239226\pi\) | |||||||
\(368\) | −4.40879 | + | 1.91015i | −0.0119804 | + | 0.00519061i | ||||
\(369\) | 250.973 | + | 64.7553i | 0.680143 | + | 0.175489i | ||||
\(370\) | −777.455 | + | 184.589i | −2.10123 | + | 0.498889i | ||||
\(371\) | −47.7173 | − | 40.0396i | −0.128618 | − | 0.107923i | ||||
\(372\) | 139.359 | + | 202.931i | 0.374621 | + | 0.545512i | ||||
\(373\) | −223.960 | + | 39.4902i | −0.600429 | + | 0.105872i | −0.465597 | − | 0.884997i | \(-0.654160\pi\) |
−0.134832 | + | 0.990869i | \(0.543049\pi\) | |||||||
\(374\) | 83.3751 | + | 9.71133i | 0.222928 | + | 0.0259661i | ||||
\(375\) | 18.8441 | − | 86.9088i | 0.0502511 | − | 0.231757i | ||||
\(376\) | 154.381 | − | 268.139i | 0.410588 | − | 0.713135i | ||||
\(377\) | − | 780.065i | − | 2.06914i | ||||||
\(378\) | −57.5461 | + | 242.579i | −0.152238 | + | 0.641743i | ||||
\(379\) | − | 429.196i | − | 1.13244i | −0.824253 | − | 0.566222i | \(-0.808405\pi\) | ||
0.824253 | − | 0.566222i | \(-0.191595\pi\) | |||||||
\(380\) | 224.774 | − | 67.4889i | 0.591509 | − | 0.177602i | ||||
\(381\) | 141.085 | − | 45.2054i | 0.370301 | − | 0.118649i | ||||
\(382\) | 387.177 | + | 45.0974i | 1.01355 | + | 0.118056i | ||||
\(383\) | 524.816 | − | 92.5392i | 1.37028 | − | 0.241617i | 0.560403 | − | 0.828220i | \(-0.310646\pi\) |
0.809874 | + | 0.586604i | \(0.199535\pi\) | |||||||
\(384\) | −288.662 | + | 253.239i | −0.751725 | + | 0.659477i | ||||
\(385\) | 36.1309 | + | 30.3174i | 0.0938464 | + | 0.0787465i | ||||
\(386\) | −106.878 | − | 450.150i | −0.276886 | − | 1.16619i | ||||
\(387\) | 8.44157 | − | 108.038i | 0.0218128 | − | 0.279167i | ||||
\(388\) | 71.9987 | − | 36.2313i | 0.185564 | − | 0.0933797i | ||||
\(389\) | 70.0590 | − | 397.324i | 0.180100 | − | 1.02140i | −0.751991 | − | 0.659174i | \(-0.770906\pi\) |
0.932091 | − | 0.362225i | \(-0.117983\pi\) | |||||||
\(390\) | 847.869 | − | 166.689i | 2.17402 | − | 0.427408i | ||||
\(391\) | 7.82946 | + | 2.84969i | 0.0200242 | + | 0.00728821i | ||||
\(392\) | −75.9990 | − | 208.028i | −0.193875 | − | 0.530684i | ||||
\(393\) | −662.588 | − | 25.8464i | −1.68598 | − | 0.0657670i | ||||
\(394\) | −215.797 | − | 327.818i | −0.547709 | − | 0.832026i | ||||
\(395\) | −359.309 | − | 622.341i | −0.909642 | − | 1.57555i | ||||
\(396\) | −29.0543 | − | 46.0575i | −0.0733694 | − | 0.116307i | ||||
\(397\) | 194.922 | + | 112.538i | 0.490987 | + | 0.283472i | 0.724984 | − | 0.688766i | \(-0.241847\pi\) |
−0.233997 | + | 0.972237i | \(0.575180\pi\) | |||||||
\(398\) | 374.582 | − | 21.9674i | 0.941162 | − | 0.0551944i | ||||
\(399\) | −45.5304 | + | 111.381i | −0.114111 | + | 0.279149i | ||||
\(400\) | −19.7016 | − | 329.184i | −0.0492541 | − | 0.822960i | ||||
\(401\) | −85.0091 | − | 101.310i | −0.211993 | − | 0.252643i | 0.649561 | − | 0.760310i | \(-0.274953\pi\) |
−0.861554 | + | 0.507666i | \(0.830508\pi\) | |||||||
\(402\) | 11.0055 | + | 561.737i | 0.0273768 | + | 1.39736i | ||||
\(403\) | 149.621 | + | 411.079i | 0.371267 | + | 1.02005i | ||||
\(404\) | −10.4585 | + | 182.077i | −0.0258874 | + | 0.450685i | ||||
\(405\) | 196.616 | + | 510.485i | 0.485472 | + | 1.26046i | ||||
\(406\) | 245.598 | − | 231.895i | 0.604920 | − | 0.571171i | ||||
\(407\) | 30.6065 | + | 84.0907i | 0.0752003 | + | 0.206611i | ||||
\(408\) | 665.413 | + | 25.1564i | 1.63091 | + | 0.0616580i | ||||
\(409\) | −240.749 | + | 202.012i | −0.588628 | + | 0.493917i | −0.887768 | − | 0.460292i | \(-0.847745\pi\) |
0.299140 | + | 0.954209i | \(0.403300\pi\) | |||||||
\(410\) | 232.166 | − | 312.114i | 0.566259 | − | 0.761254i | ||||
\(411\) | −242.302 | + | 592.742i | −0.589543 | + | 1.44219i | ||||
\(412\) | 523.291 | − | 555.547i | 1.27012 | − | 1.34841i | ||||
\(413\) | 214.834 | − | 372.103i | 0.520178 | − | 0.900975i | ||||
\(414\) | −1.74988 | − | 5.11432i | −0.00422676 | − | 0.0123534i | ||||
\(415\) | 290.301 | + | 502.816i | 0.699521 | + | 1.21161i | ||||
\(416\) | −609.186 | + | 307.473i | −1.46439 | + | 0.739117i | ||||
\(417\) | −6.93324 | + | 177.738i | −0.0166265 | + | 0.426229i | ||||
\(418\) | −10.4196 | − | 24.1289i | −0.0249274 | − | 0.0577246i | ||||
\(419\) | −288.570 | − | 105.031i | −0.688711 | − | 0.250670i | −0.0261278 | − | 0.999659i | \(-0.508318\pi\) |
−0.662583 | + | 0.748988i | \(0.730540\pi\) | |||||||
\(420\) | 304.533 | + | 217.392i | 0.725078 | + | 0.517601i | ||||
\(421\) | 229.897 | + | 40.5370i | 0.546073 | + | 0.0962874i | 0.439877 | − | 0.898058i | \(-0.355022\pi\) |
0.106196 | + | 0.994345i | \(0.466133\pi\) | |||||||
\(422\) | −197.848 | + | 661.821i | −0.468833 | + | 1.56830i | ||||
\(423\) | 286.974 | + | 196.994i | 0.678425 | + | 0.465707i | ||||
\(424\) | 106.273 | − | 18.8704i | 0.250644 | − | 0.0445056i | ||||
\(425\) | −367.581 | + | 438.066i | −0.864896 | + | 1.03074i | ||||
\(426\) | 22.3623 | − | 27.7361i | 0.0524938 | − | 0.0651083i | ||||
\(427\) | 344.083 | − | 60.6711i | 0.805815 | − | 0.142087i | ||||
\(428\) | −444.292 | − | 595.791i | −1.03806 | − | 1.39204i | ||||
\(429\) | −29.5277 | − | 92.1553i | −0.0688292 | − | 0.214814i | ||||
\(430\) | −145.366 | − | 72.9329i | −0.338061 | − | 0.169611i | ||||
\(431\) | − | 829.976i | − | 1.92570i | −0.270038 | − | 0.962850i | \(-0.587036\pi\) | ||
0.270038 | − | 0.962850i | \(-0.412964\pi\) | |||||||
\(432\) | −258.316 | − | 346.261i | −0.597953 | − | 0.801531i | ||||
\(433\) | −402.629 | −0.929860 | −0.464930 | − | 0.885348i | \(-0.653920\pi\) | ||||
−0.464930 | + | 0.885348i | \(0.653920\pi\) | |||||||
\(434\) | −84.9465 | + | 169.311i | −0.195729 | + | 0.390118i | ||||
\(435\) | 157.052 | − | 724.322i | 0.361040 | − | 1.66511i | ||||
\(436\) | −432.580 | + | 322.582i | −0.992156 | + | 0.739868i | ||||
\(437\) | −0.453023 | − | 2.56922i | −0.00103667 | − | 0.00587923i | ||||
\(438\) | 25.4119 | − | 162.693i | 0.0580181 | − | 0.371445i | ||||
\(439\) | −76.5436 | − | 64.2277i | −0.174359 | − | 0.146305i | 0.551432 | − | 0.834220i | \(-0.314082\pi\) |
−0.725791 | + | 0.687915i | \(0.758526\pi\) | |||||||
\(440\) | −80.4684 | + | 14.2884i | −0.182883 | + | 0.0324736i | ||||
\(441\) | 240.061 | − | 66.7203i | 0.544355 | − | 0.151293i | ||||
\(442\) | 1133.73 | + | 338.923i | 2.56501 | + | 0.766795i | ||||
\(443\) | 59.7205 | − | 338.692i | 0.134809 | − | 0.764542i | −0.840183 | − | 0.542303i | \(-0.817553\pi\) |
0.974992 | − | 0.222239i | \(-0.0713364\pi\) | |||||||
\(444\) | 294.153 | + | 646.097i | 0.662506 | + | 1.45517i | ||||
\(445\) | −41.1399 | + | 113.031i | −0.0924491 | + | 0.254002i | ||||
\(446\) | −145.179 | + | 62.6929i | −0.325513 | + | 0.140567i | ||||
\(447\) | 137.209 | + | 260.613i | 0.306954 | + | 0.583026i | ||||
\(448\) | −277.902 | − | 100.393i | −0.620318 | − | 0.224092i | ||||
\(449\) | 185.905 | − | 107.332i | 0.414042 | − | 0.239048i | −0.278483 | − | 0.960441i | \(-0.589831\pi\) |
0.692525 | + | 0.721394i | \(0.256498\pi\) | |||||||
\(450\) | 370.925 | + | 7.19652i | 0.824277 | + | 0.0159923i | ||||
\(451\) | −37.7270 | − | 21.7817i | −0.0836519 | − | 0.0482964i | ||||
\(452\) | −288.747 | − | 271.982i | −0.638821 | − | 0.601731i | ||||
\(453\) | −414.279 | + | 320.955i | −0.914523 | + | 0.708511i | ||||
\(454\) | −513.473 | − | 381.947i | −1.13100 | − | 0.841294i | ||||
\(455\) | 427.393 | + | 509.348i | 0.939326 | + | 1.11945i | ||||
\(456\) | −97.3540 | − | 184.376i | −0.213496 | − | 0.404333i | ||||
\(457\) | −123.857 | + | 45.0802i | −0.271022 | + | 0.0986438i | −0.473956 | − | 0.880549i | \(-0.657174\pi\) |
0.202934 | + | 0.979192i | \(0.434952\pi\) | |||||||
\(458\) | −578.226 | − | 612.392i | −1.26250 | − | 1.33710i | ||||
\(459\) | −87.4221 | + | 744.006i | −0.190462 | + | 1.62093i | ||||
\(460\) | −8.09905 | − | 0.465211i | −0.0176066 | − | 0.00101133i | ||||
\(461\) | −12.6968 | + | 4.62125i | −0.0275418 | + | 0.0100244i | −0.355754 | − | 0.934580i | \(-0.615776\pi\) |
0.328213 | + | 0.944604i | \(0.393554\pi\) | |||||||
\(462\) | 20.2365 | − | 36.6922i | 0.0438019 | − | 0.0794204i | ||||
\(463\) | −393.676 | + | 330.333i | −0.850271 | + | 0.713462i | −0.959849 | − | 0.280516i | \(-0.909494\pi\) |
0.109578 | + | 0.993978i | \(0.465050\pi\) | |||||||
\(464\) | 34.9671 | + | 584.246i | 0.0753602 | + | 1.25915i | ||||
\(465\) | 56.1652 | + | 411.827i | 0.120785 | + | 0.885649i | ||||
\(466\) | 41.8231 | + | 713.157i | 0.0897491 | + | 1.53038i | ||||
\(467\) | −194.018 | + | 336.049i | −0.415456 | + | 0.719591i | −0.995476 | − | 0.0950112i | \(-0.969711\pi\) |
0.580020 | + | 0.814602i | \(0.303045\pi\) | |||||||
\(468\) | −290.617 | − | 710.546i | −0.620975 | − | 1.51826i | ||||
\(469\) | −374.407 | + | 216.164i | −0.798309 | + | 0.460904i | ||||
\(470\) | 436.343 | − | 287.238i | 0.928389 | − | 0.611144i | ||||
\(471\) | 51.5273 | + | 32.4910i | 0.109400 | + | 0.0689831i | ||||
\(472\) | 255.479 | + | 699.310i | 0.541270 | + | 1.48159i | ||||
\(473\) | −6.22943 | + | 17.1152i | −0.0131700 | + | 0.0361844i | ||||
\(474\) | −480.935 | + | 419.878i | −1.01463 | + | 0.885818i | ||||
\(475\) | 176.336 | + | 31.0928i | 0.371234 | + | 0.0654585i | ||||
\(476\) | 230.326 | + | 457.702i | 0.483877 | + | 0.961559i | ||||
\(477\) | 11.7063 | + | 120.862i | 0.0245415 | + | 0.253379i | ||||
\(478\) | 129.185 | − | 30.6721i | 0.270262 | − | 0.0641676i | ||||
\(479\) | 295.351 | − | 351.985i | 0.616599 | − | 0.734834i | −0.363883 | − | 0.931445i | \(-0.618549\pi\) |
0.980482 | + | 0.196611i | \(0.0629935\pi\) | |||||||
\(480\) | −627.557 | + | 162.852i | −1.30741 | + | 0.339275i | ||||
\(481\) | 219.063 | + | 1242.37i | 0.455432 | + | 2.58288i | ||||
\(482\) | −51.9875 | + | 446.331i | −0.107858 | + | 0.925997i | ||||
\(483\) | 2.79574 | − | 3.07961i | 0.00578828 | − | 0.00637600i | ||||
\(484\) | −136.552 | − | 454.790i | −0.282132 | − | 0.939648i | ||||
\(485\) | 136.086 | 0.280590 | ||||||||
\(486\) | 411.309 | − | 258.884i | 0.846315 | − | 0.532682i | ||||
\(487\) | −426.550 | −0.875874 | −0.437937 | − | 0.899006i | \(-0.644291\pi\) | ||||
−0.437937 | + | 0.899006i | \(0.644291\pi\) | |||||||
\(488\) | −302.078 | + | 524.668i | −0.619012 | + | 1.07514i | ||||
\(489\) | −51.6763 | + | 56.9234i | −0.105678 | + | 0.116408i | ||||
\(490\) | 43.2629 | − | 371.427i | 0.0882917 | − | 0.758015i | ||||
\(491\) | 136.796 | + | 775.806i | 0.278606 | + | 1.58005i | 0.727269 | + | 0.686352i | \(0.240789\pi\) |
−0.448663 | + | 0.893701i | \(0.648100\pi\) | |||||||
\(492\) | −311.869 | − | 148.896i | −0.633879 | − | 0.302635i | ||||
\(493\) | 652.395 | − | 777.494i | 1.32332 | − | 1.57707i | ||||
\(494\) | −85.5904 | − | 360.491i | −0.173260 | − | 0.729739i | ||||
\(495\) | −8.86385 | − | 91.5148i | −0.0179068 | − | 0.184878i | ||||
\(496\) | −130.489 | − | 301.180i | −0.263082 | − | 0.607217i | ||||
\(497\) | 26.9987 | + | 4.76059i | 0.0543232 | + | 0.00957865i | ||||
\(498\) | 388.569 | − | 339.238i | 0.780259 | − | 0.681200i | ||||
\(499\) | −133.879 | + | 367.831i | −0.268295 | + | 0.737135i | 0.730248 | + | 0.683182i | \(0.239404\pi\) |
−0.998543 | + | 0.0539534i | \(0.982818\pi\) | |||||||
\(500\) | −46.8764 | + | 108.911i | −0.0937529 | + | 0.217823i | ||||
\(501\) | 221.473 | + | 139.652i | 0.442062 | + | 0.278746i | ||||
\(502\) | 34.1472 | + | 51.8730i | 0.0680223 | + | 0.103333i | ||||
\(503\) | −152.172 | + | 87.8566i | −0.302529 | + | 0.174665i | −0.643578 | − | 0.765380i | \(-0.722551\pi\) |
0.341049 | + | 0.940045i | \(0.389218\pi\) | |||||||
\(504\) | 137.317 | − | 302.727i | 0.272454 | − | 0.600650i | ||||
\(505\) | −153.962 | + | 266.670i | −0.304875 | + | 0.528060i | ||||
\(506\) | 0.0531880 | + | 0.906948i | 0.000105115 | + | 0.00179239i | ||||
\(507\) | −115.833 | − | 849.336i | −0.228468 | − | 1.67522i | ||||
\(508\) | −196.179 | + | 23.0893i | −0.386180 | + | 0.0454513i | ||||
\(509\) | 129.577 | − | 108.728i | 0.254572 | − | 0.213611i | −0.506566 | − | 0.862201i | \(-0.669085\pi\) |
0.761138 | + | 0.648590i | \(0.224641\pi\) | |||||||
\(510\) | 984.482 | + | 542.961i | 1.93036 | + | 1.06463i | ||||
\(511\) | 119.066 | − | 43.3363i | 0.233005 | − | 0.0848069i | ||||
\(512\) | 442.480 | − | 257.596i | 0.864219 | − | 0.503116i | ||||
\(513\) | 215.436 | − | 92.7740i | 0.419953 | − | 0.180846i | ||||
\(514\) | 279.995 | + | 296.540i | 0.544738 | + | 0.576926i | ||||
\(515\) | 1210.86 | − | 440.718i | 2.35119 | − | 0.855763i | ||||
\(516\) | −38.6649 | + | 139.220i | −0.0749320 | + | 0.269806i | ||||
\(517\) | −37.6052 | − | 44.8162i | −0.0727374 | − | 0.0866851i | ||||
\(518\) | −326.027 | + | 438.297i | −0.629397 | + | 0.846133i | ||||
\(519\) | −402.388 | + | 311.743i | −0.775314 | + | 0.600661i | ||||
\(520\) | −1152.13 | + | 1.38344i | −2.21564 | + | 0.00266046i | ||||
\(521\) | −210.954 | − | 121.794i | −0.404901 | − | 0.233770i | 0.283695 | − | 0.958914i | \(-0.408440\pi\) |
−0.688597 | + | 0.725145i | \(0.741773\pi\) | |||||||
\(522\) | −658.330 | − | 12.7726i | −1.26117 | − | 0.0244686i | ||||
\(523\) | −328.518 | + | 189.670i | −0.628142 | + | 0.362658i | −0.780032 | − | 0.625740i | \(-0.784797\pi\) |
0.151890 | + | 0.988397i | \(0.451464\pi\) | |||||||
\(524\) | 860.454 | + | 203.204i | 1.64209 | + | 0.387794i | ||||
\(525\) | 132.991 | + | 252.602i | 0.253317 | + | 0.481147i | ||||
\(526\) | −87.7152 | − | 203.123i | −0.166759 | − | 0.386166i | ||||
\(527\) | −194.672 | + | 534.857i | −0.369397 | + | 1.01491i | ||||
\(528\) | 26.2464 | + | 67.6981i | 0.0497091 | + | 0.128216i | ||||
\(529\) | 91.8442 | − | 520.874i | 0.173619 | − | 0.984640i | ||||
\(530\) | 174.602 | + | 52.1964i | 0.329438 | + | 0.0984837i | ||||
\(531\) | −806.992 | + | 224.288i | −1.51976 | + | 0.422388i | ||||
\(532\) | 88.0539 | − | 134.113i | 0.165515 | − | 0.252093i | ||||
\(533\) | −470.448 | − | 394.753i | −0.882641 | − | 0.740624i | ||||
\(534\) | 105.583 | + | 16.4916i | 0.197721 | + | 0.0308832i | ||||
\(535\) | −217.899 | − | 1235.77i | −0.407289 | − | 2.30985i | ||||
\(536\) | 129.198 | − | 737.901i | 0.241042 | − | 1.37668i | ||||
\(537\) | −28.7521 | + | 132.604i | −0.0535421 | + | 0.246935i | ||||
\(538\) | −244.670 | + | 487.664i | −0.454777 | + | 0.906439i | ||||
\(539\) | −41.8773 | −0.0776944 | ||||||||
\(540\) | −126.793 | − | 718.281i | −0.234802 | − | 1.33015i | ||||
\(541\) | − | 78.5874i | − | 0.145263i | −0.997359 | − | 0.0726316i | \(-0.976860\pi\) | ||
0.997359 | − | 0.0726316i | \(-0.0231397\pi\) | |||||||
\(542\) | 340.726 | − | 679.119i | 0.628646 | − | 1.25299i | ||||
\(543\) | 6.99804 | + | 21.8407i | 0.0128877 | + | 0.0402223i | ||||
\(544\) | −864.327 | − | 203.023i | −1.58884 | − | 0.373205i | ||||
\(545\) | −897.242 | + | 158.208i | −1.64632 | + | 0.290290i | ||||
\(546\) | 370.767 | − | 459.864i | 0.679061 | − | 0.842243i | ||||
\(547\) | −610.299 | + | 727.326i | −1.11572 | + | 1.32966i | −0.177303 | + | 0.984156i | \(0.556737\pi\) |
−0.938416 | + | 0.345506i | \(0.887707\pi\) | |||||||
\(548\) | 468.602 | − | 713.719i | 0.855114 | − | 1.30241i | ||||
\(549\) | −561.523 | − | 385.459i | −1.02281 | − | 0.702111i | ||||
\(550\) | −59.7421 | − | 17.8595i | −0.108622 | − | 0.0324719i | ||||
\(551\) | −312.967 | − | 55.1846i | −0.567999 | − | 0.100153i | ||||
\(552\) | 0.982482 | + | 7.13992i | 0.00177986 | + | 0.0129346i | ||||
\(553\) | −461.634 | − | 168.021i | −0.834781 | − | 0.303835i | ||||
\(554\) | 56.5997 | + | 131.069i | 0.102165 | + | 0.236586i | ||||
\(555\) | −46.7199 | + | 1197.69i | −0.0841800 | + | 2.15800i | ||||
\(556\) | 54.5090 | − | 230.815i | 0.0980377 | − | 0.415134i | ||||
\(557\) | −282.367 | − | 489.074i | −0.506943 | − | 0.878050i | −0.999968 | − | 0.00803517i | \(-0.997442\pi\) |
0.493025 | − | 0.870015i | \(-0.335891\pi\) | |||||||
\(558\) | 349.377 | − | 119.540i | 0.626123 | − | 0.214230i | ||||
\(559\) | −128.381 | + | 222.363i | −0.229663 | + | 0.397787i | ||||
\(560\) | −342.937 | − | 362.329i | −0.612388 | − | 0.647015i | ||||
\(561\) | 47.6422 | − | 116.547i | 0.0849237 | − | 0.207748i | ||||
\(562\) | 150.971 | − | 202.959i | 0.268632 | − | 0.361137i | ||||
\(563\) | −256.406 | + | 215.150i | −0.455428 | + | 0.382149i | −0.841445 | − | 0.540342i | \(-0.818295\pi\) |
0.386018 | + | 0.922491i | \(0.373850\pi\) | |||||||
\(564\) | −325.175 | − | 331.147i | −0.576551 | − | 0.587140i | ||||
\(565\) | −229.065 | − | 629.350i | −0.405424 | − | 1.11389i | ||||
\(566\) | 101.021 | + | 106.990i | 0.178482 | + | 0.189029i | ||||
\(567\) | 327.283 | + | 180.935i | 0.577218 | + | 0.319108i | ||||
\(568\) | −36.3537 | + | 30.5788i | −0.0640029 | + | 0.0538359i | ||||
\(569\) | 199.326 | + | 547.645i | 0.350310 | + | 0.962469i | 0.982271 | + | 0.187468i | \(0.0600282\pi\) |
−0.631961 | + | 0.775000i | \(0.717750\pi\) | |||||||
\(570\) | −6.89561 | − | 351.963i | −0.0120976 | − | 0.617478i | ||||
\(571\) | −359.610 | − | 428.567i | −0.629790 | − | 0.750555i | 0.352930 | − | 0.935650i | \(-0.385185\pi\) |
−0.982721 | + | 0.185095i | \(0.940741\pi\) | |||||||
\(572\) | 15.0817 | + | 128.143i | 0.0263666 | + | 0.224025i | ||||
\(573\) | 221.241 | − | 541.219i | 0.386109 | − | 0.944535i | ||||
\(574\) | −15.5684 | − | 265.468i | −0.0271226 | − | 0.462488i | ||||
\(575\) | −5.36020 | − | 3.09471i | −0.00932209 | − | 0.00538211i | ||||
\(576\) | 249.514 | + | 519.152i | 0.433185 | + | 0.901305i | ||||
\(577\) | −378.530 | − | 655.633i | −0.656031 | − | 1.13628i | −0.981634 | − | 0.190773i | \(-0.938901\pi\) |
0.325603 | − | 0.945507i | \(-0.394433\pi\) | |||||||
\(578\) | 528.735 | + | 803.201i | 0.914766 | + | 1.38962i | ||||
\(579\) | −693.469 | − | 27.0510i | −1.19770 | − | 0.0467203i | ||||
\(580\) | −390.681 | + | 907.697i | −0.673588 | + | 1.56500i | ||||
\(581\) | 372.974 | + | 135.752i | 0.641952 | + | 0.233652i | ||||
\(582\) | −23.3226 | − | 118.631i | −0.0400731 | − | 0.203833i | ||||
\(583\) | 3.54394 | − | 20.0987i | 0.00607880 | − | 0.0344746i | ||||
\(584\) | −74.8442 | + | 206.404i | −0.128158 | + | 0.353431i | ||||
\(585\) | 100.967 | − | 1292.21i | 0.172594 | − | 2.20890i | ||||
\(586\) | 58.0717 | + | 244.587i | 0.0990984 | + | 0.417385i | ||||
\(587\) | 474.276 | + | 397.965i | 0.807967 | + | 0.677964i | 0.950122 | − | 0.311880i | \(-0.100959\pi\) |
−0.142155 | + | 0.989844i | \(0.545403\pi\) | |||||||
\(588\) | −331.199 | + | 25.9418i | −0.563264 | + | 0.0441187i | ||||
\(589\) | 175.512 | − | 30.9476i | 0.297984 | − | 0.0525426i | ||||
\(590\) | −145.433 | + | 1248.60i | −0.246497 | + | 2.11626i | ||||
\(591\) | −560.631 | + | 179.633i | −0.948614 | + | 0.303948i | ||||
\(592\) | −219.762 | − | 920.677i | −0.371219 | − | 1.55520i | ||||
\(593\) | 959.784i | 1.61852i | 0.587448 | + | 0.809262i | \(0.300133\pi\) | ||||
−0.587448 | + | 0.809262i | \(0.699867\pi\) | |||||||
\(594\) | −78.2572 | + | 23.4108i | −0.131746 | + | 0.0394121i | ||||
\(595\) | 865.112i | 1.45397i | ||||||||
\(596\) | −112.929 | − | 376.112i | −0.189478 | − | 0.631061i | ||||
\(597\) | 119.267 | − | 550.057i | 0.199777 | − | 0.921369i | ||||
\(598\) | −1.48177 | + | 12.7215i | −0.00247787 | + | 0.0212734i | ||||
\(599\) | 654.900 | − | 115.477i | 1.09332 | − | 0.192782i | 0.402223 | − | 0.915542i | \(-0.368238\pi\) |
0.691100 | + | 0.722760i | \(0.257127\pi\) | |||||||
\(600\) | −483.551 | − | 104.239i | −0.805919 | − | 0.173732i | ||||
\(601\) | 636.219 | + | 533.851i | 1.05860 | + | 0.888271i | 0.993972 | − | 0.109638i | \(-0.0349692\pi\) |
0.0646290 | + | 0.997909i | \(0.479414\pi\) | |||||||
\(602\) | −108.174 | + | 25.6835i | −0.179691 | + | 0.0426636i | ||||
\(603\) | 816.042 | + | 210.553i | 1.35330 | + | 0.349175i | ||||
\(604\) | 624.172 | − | 314.097i | 1.03340 | − | 0.520028i | ||||
\(605\) | 139.219 | − | 789.550i | 0.230114 | − | 1.30504i | ||||
\(606\) | 258.851 | + | 88.5114i | 0.427147 | + | 0.146058i | ||||
\(607\) | 643.962 | + | 234.383i | 1.06089 | + | 0.386133i | 0.812764 | − | 0.582594i | \(-0.197962\pi\) |
0.248129 | + | 0.968727i | \(0.420184\pi\) | |||||||
\(608\) | 80.2641 | + | 266.161i | 0.132013 | + | 0.437765i | ||||
\(609\) | −236.037 | − | 448.327i | −0.387582 | − | 0.736169i | ||||
\(610\) | −853.794 | + | 562.039i | −1.39966 | + | 0.921375i | ||||
\(611\) | −412.370 | − | 714.245i | −0.674909 | − | 1.16898i | ||||
\(612\) | 304.595 | − | 951.256i | 0.497705 | − | 1.55434i | ||||
\(613\) | 798.026 | + | 460.740i | 1.30184 | + | 0.751616i | 0.980719 | − | 0.195423i | \(-0.0626081\pi\) |
0.321118 | + | 0.947039i | \(0.395941\pi\) | |||||||
\(614\) | 49.1490 | + | 838.077i | 0.0800472 | + | 1.36495i | ||||
\(615\) | −357.353 | − | 461.260i | −0.581062 | − | 0.750016i | ||||
\(616\) | −35.8613 | + | 42.8422i | −0.0582164 | + | 0.0695490i | ||||
\(617\) | −35.9791 | − | 42.8782i | −0.0583130 | − | 0.0694947i | 0.736099 | − | 0.676873i | \(-0.236666\pi\) |
−0.794412 | + | 0.607379i | \(0.792221\pi\) | |||||||
\(618\) | −591.706 | − | 980.016i | −0.957453 | − | 1.58579i | ||||
\(619\) | −34.2041 | − | 93.9751i | −0.0552571 | − | 0.151818i | 0.908993 | − | 0.416811i | \(-0.136852\pi\) |
−0.964250 | + | 0.264994i | \(0.914630\pi\) | |||||||
\(620\) | 31.7801 | − | 553.274i | 0.0512583 | − | 0.892377i | ||||
\(621\) | −8.09467 | + | 0.466504i | −0.0130349 | + | 0.000751215i | ||||
\(622\) | −553.046 | − | 585.725i | −0.889141 | − | 0.941679i | ||||
\(623\) | 28.1240 | + | 77.2701i | 0.0451429 | + | 0.124029i | ||||
\(624\) | 198.659 | + | 1004.11i | 0.318364 | + | 1.60915i | ||||
\(625\) | −548.078 | + | 459.892i | −0.876925 | + | 0.735827i | ||||
\(626\) | 200.460 | + | 149.112i | 0.320224 | + | 0.238199i | ||||
\(627\) | −39.0622 | + | 5.32733i | −0.0623002 | + | 0.00849654i | ||||
\(628\) | −59.1226 | − | 55.6899i | −0.0941443 | − | 0.0886782i | ||||
\(629\) | −820.692 | + | 1421.48i | −1.30476 | + | 2.25990i | ||||
\(630\) | 436.858 | − | 352.355i | 0.693425 | − | 0.559294i | ||||
\(631\) | 4.39162 | + | 7.60651i | 0.00695978 | + | 0.0120547i | 0.869484 | − | 0.493961i | \(-0.164451\pi\) |
−0.862525 | + | 0.506015i | \(0.831118\pi\) | |||||||
\(632\) | 736.687 | − | 426.507i | 1.16564 | − | 0.674852i | ||||
\(633\) | 876.450 | + | 552.654i | 1.38460 | + | 0.873071i | ||||
\(634\) | 10.5619 | − | 4.56097i | 0.0166592 | − | 0.00719397i | ||||
\(635\) | −313.401 | − | 114.069i | −0.493545 | − | 0.179636i | ||||
\(636\) | 15.5777 | − | 161.152i | 0.0244933 | − | 0.253383i | ||||
\(637\) | −581.387 | − | 102.514i | −0.912696 | − | 0.160933i | ||||
\(638\) | 106.032 | + | 31.6977i | 0.166195 | + | 0.0496829i | ||||
\(639\) | −31.0586 | − | 43.4907i | −0.0486050 | − | 0.0680606i | ||||
\(640\) | 862.851 | − | 52.6815i | 1.34820 | − | 0.0823148i | ||||
\(641\) | 101.090 | − | 120.475i | 0.157707 | − | 0.187948i | −0.681405 | − | 0.731907i | \(-0.738631\pi\) |
0.839112 | + | 0.543959i | \(0.183075\pi\) | |||||||
\(642\) | −1039.91 | + | 401.737i | −1.61980 | + | 0.625758i | ||||
\(643\) | 560.102 | − | 98.7611i | 0.871076 | − | 0.153594i | 0.279795 | − | 0.960060i | \(-0.409734\pi\) |
0.591281 | + | 0.806466i | \(0.298622\pi\) | |||||||
\(644\) | −4.44576 | + | 3.31528i | −0.00690335 | + | 0.00514795i | ||||
\(645\) | −163.976 | + | 180.626i | −0.254227 | + | 0.280040i | ||||
\(646\) | 216.183 | − | 430.885i | 0.334648 | − | 0.667005i | ||||
\(647\) | 155.463i | 0.240283i | 0.992757 | + | 0.120142i | \(0.0383348\pi\) | ||||
−0.992757 | + | 0.120142i | \(0.961665\pi\) | |||||||
\(648\) | −604.418 | + | 233.629i | −0.932744 | + | 0.360539i | ||||
\(649\) | 140.775 | 0.216911 | ||||||||
\(650\) | −785.687 | − | 394.193i | −1.20875 | − | 0.606451i | ||||
\(651\) | 210.379 | + | 190.986i | 0.323162 | + | 0.293374i | ||||
\(652\) | 82.1752 | − | 61.2795i | 0.126036 | − | 0.0939869i | ||||
\(653\) | 104.601 | + | 593.221i | 0.160185 | + | 0.908455i | 0.953891 | + | 0.300153i | \(0.0970378\pi\) |
−0.793706 | + | 0.608302i | \(0.791851\pi\) | |||||||
\(654\) | 291.685 | + | 755.040i | 0.446001 | + | 1.15450i | ||||
\(655\) | 1143.51 | + | 959.520i | 1.74582 | + | 1.46492i | ||||
\(656\) | 370.047 | + | 274.570i | 0.564096 | + | 0.418552i | ||||
\(657\) | −224.817 | − | 102.302i | −0.342187 | − | 0.155711i | ||||
\(658\) | 102.287 | − | 342.160i | 0.155451 | − | 0.520000i | ||||
\(659\) | 6.80449 | − | 38.5902i | 0.0103255 | − | 0.0585587i | −0.979210 | − | 0.202851i | \(-0.934979\pi\) |
0.989535 | + | 0.144292i | \(0.0460905\pi\) | |||||||
\(660\) | −11.7953 | + | 122.022i | −0.0178716 | + | 0.184882i | ||||
\(661\) | −15.9939 | + | 43.9429i | −0.0241966 | + | 0.0664795i | −0.951203 | − | 0.308566i | \(-0.900151\pi\) |
0.927006 | + | 0.375046i | \(0.122373\pi\) | |||||||
\(662\) | −42.1454 | − | 97.5966i | −0.0636637 | − | 0.147427i | ||||
\(663\) | 946.725 | − | 1501.40i | 1.42794 | − | 2.26456i | ||||
\(664\) | −595.202 | + | 344.593i | −0.896388 | + | 0.518966i | ||||
\(665\) | 234.589 | − | 135.440i | 0.352765 | − | 0.203669i | ||||
\(666\) | 1052.07 | − | 164.534i | 1.57969 | − | 0.247048i | ||||
\(667\) | 9.51346 | + | 5.49260i | 0.0142631 | + | 0.00823478i | ||||
\(668\) | −254.119 | − | 239.365i | −0.380417 | − | 0.358330i | ||||
\(669\) | 32.0535 | + | 235.030i | 0.0479125 | + | 0.351315i | ||||
\(670\) | 754.892 | − | 1014.84i | 1.12671 | − | 1.51469i | ||||
\(671\) | 73.5823 | + | 87.6920i | 0.109661 | + | 0.130689i | ||||
\(672\) | −257.080 | + | 361.045i | −0.382560 | + | 0.537270i | ||||
\(673\) | −994.980 | + | 362.143i | −1.47843 | + | 0.538103i | −0.950374 | − | 0.311110i | \(-0.899299\pi\) |
−0.528051 | + | 0.849212i | \(0.677077\pi\) | |||||||
\(674\) | −895.422 | + | 845.464i | −1.32852 | + | 1.25440i | ||||
\(675\) | 159.929 | − | 533.016i | 0.236932 | − | 0.789653i | ||||
\(676\) | −65.5422 | + | 1141.05i | −0.0969559 | + | 1.68795i | ||||
\(677\) | −527.675 | + | 192.058i | −0.779432 | + | 0.283690i | −0.700936 | − | 0.713224i | \(-0.747234\pi\) |
−0.0784962 | + | 0.996914i | \(0.525012\pi\) | |||||||
\(678\) | −509.367 | + | 307.541i | −0.751279 | + | 0.453601i | ||||
\(679\) | 71.2660 | − | 59.7993i | 0.104957 | − | 0.0880697i | ||||
\(680\) | −1149.49 | − | 962.187i | −1.69043 | − | 1.41498i | ||||
\(681\) | −758.840 | + | 587.898i | −1.11430 | + | 0.863286i | ||||
\(682\) | −61.9567 | + | 3.63345i | −0.0908456 | + | 0.00532764i | ||||
\(683\) | 13.1552 | − | 22.7854i | 0.0192608 | − | 0.0333608i | −0.856234 | − | 0.516588i | \(-0.827202\pi\) |
0.875495 | + | 0.483227i | \(0.160535\pi\) | |||||||
\(684\) | −305.635 | + | 66.3307i | −0.446835 | + | 0.0969747i | ||||
\(685\) | 1248.43 | − | 720.780i | 1.82252 | − | 1.05223i | ||||
\(686\) | −389.336 | − | 591.441i | −0.567545 | − | 0.862159i | ||||
\(687\) | −1117.89 | + | 588.554i | −1.62721 | + | 0.856701i | ||||
\(688\) | 86.1864 | − | 172.299i | 0.125271 | − | 0.250434i | ||||
\(689\) | 98.4019 | − | 270.357i | 0.142818 | − | 0.392390i | ||||
\(690\) | −3.93712 | + | 11.5141i | −0.00570597 | + | 0.0166871i | ||||
\(691\) | 136.748 | + | 24.1123i | 0.197899 | + | 0.0348949i | 0.271719 | − | 0.962377i | \(-0.412408\pi\) |
−0.0738201 | + | 0.997272i | \(0.523519\pi\) | |||||||
\(692\) | 606.256 | − | 305.081i | 0.876093 | − | 0.440869i | ||||
\(693\) | −44.8555 | − | 44.0297i | −0.0647265 | − | 0.0635350i | ||||
\(694\) | 283.230 | + | 1192.91i | 0.408112 | + | 1.71890i | ||||
\(695\) | 257.389 | − | 306.744i | 0.370344 | − | 0.441358i | ||||
\(696\) | 858.223 | + | 185.007i | 1.23308 | + | 0.265815i | ||||
\(697\) | −138.752 | − | 786.903i | −0.199071 | − | 1.12899i | ||||
\(698\) | 17.9983 | + | 2.09640i | 0.0257856 | + | 0.00300344i | ||||
\(699\) | 1047.24 | + | 227.069i | 1.49820 | + | 0.324849i | ||||
\(700\) | −109.458 | − | 364.552i | −0.156368 | − | 0.520789i | ||||
\(701\) | 662.723 | 0.945397 | 0.472698 | − | 0.881224i | \(-0.343280\pi\) | ||||
0.472698 | + | 0.881224i | \(0.343280\pi\) | |||||||
\(702\) | −1143.76 | + | 133.443i | −1.62929 | + | 0.190090i | ||||
\(703\) | 513.943 | 0.731071 | ||||||||
\(704\) | −17.0399 | − | 95.2991i | −0.0242044 | − | 0.135368i | ||||
\(705\) | −239.101 | − | 746.229i | −0.339151 | − | 1.05848i | ||||
\(706\) | 282.183 | + | 32.8679i | 0.399692 | + | 0.0465552i | ||||
\(707\) | 36.5534 | + | 207.305i | 0.0517022 | + | 0.293218i | ||||
\(708\) | 1113.36 | − | 87.2063i | 1.57255 | − | 0.123173i | ||||
\(709\) | 83.5220 | − | 99.5377i | 0.117803 | − | 0.140392i | −0.703920 | − | 0.710279i | \(-0.748569\pi\) |
0.821723 | + | 0.569887i | \(0.193013\pi\) | |||||||
\(710\) | −78.0365 | + | 18.5280i | −0.109911 | + | 0.0260958i | ||||
\(711\) | 412.765 | + | 864.127i | 0.580541 | + | 1.21537i | ||||
\(712\) | −133.950 | − | 48.5717i | −0.188132 | − | 0.0682187i | ||||
\(713\) | −6.06692 | − | 1.06976i | −0.00850901 | − | 0.00150037i | ||||
\(714\) | 754.145 | − | 148.263i | 1.05623 | − | 0.207652i | ||||
\(715\) | −74.5086 | + | 204.711i | −0.104208 | + | 0.286309i | ||||
\(716\) | 71.5233 | − | 166.175i | 0.0998929 | − | 0.232088i | ||||
\(717\) | 7.76318 | − | 199.014i | 0.0108273 | − | 0.277564i | ||||
\(718\) | 546.368 | − | 359.666i | 0.760959 | − | 0.500927i | ||||
\(719\) | 290.621 | − | 167.790i | 0.404202 | − | 0.233366i | −0.284093 | − | 0.958797i | \(-0.591693\pi\) |
0.688295 | + | 0.725430i | \(0.258359\pi\) | |||||||
\(720\) | −17.6972 | + | 972.354i | −0.0245795 | + | 1.35049i | ||||
\(721\) | 440.447 | − | 762.876i | 0.610883 | − | 1.05808i | ||||
\(722\) | 570.075 | − | 33.4321i | 0.789578 | − | 0.0463048i | ||||
\(723\) | 623.907 | + | 255.042i | 0.862941 | + | 0.352755i | ||||
\(724\) | −3.57435 | − | 30.3696i | −0.00493694 | − | 0.0419470i | ||||
\(725\) | −577.566 | + | 484.635i | −0.796642 | + | 0.668462i | ||||
\(726\) | −712.134 | + | 13.9521i | −0.980901 | + | 0.0192177i | ||||
\(727\) | 531.818 | − | 193.566i | 0.731524 | − | 0.266253i | 0.0507142 | − | 0.998713i | \(-0.483850\pi\) |
0.680810 | + | 0.732460i | \(0.261628\pi\) | |||||||
\(728\) | −602.743 | + | 506.996i | −0.827944 | + | 0.696423i | ||||
\(729\) | −208.227 | − | 698.629i | −0.285634 | − | 0.958339i | ||||
\(730\) | −269.531 | + | 254.494i | −0.369221 | + | 0.348622i | ||||
\(731\) | −313.928 | + | 114.260i | −0.429450 | + | 0.156307i | ||||
\(732\) | 636.271 | + | 647.956i | 0.869222 | + | 0.885186i | ||||
\(733\) | −184.057 | − | 219.351i | −0.251101 | − | 0.299251i | 0.625739 | − | 0.780032i | \(-0.284797\pi\) |
−0.876840 | + | 0.480782i | \(0.840353\pi\) | |||||||
\(734\) | 116.861 | + | 86.9275i | 0.159212 | + | 0.118430i | ||||
\(735\) | −519.202 | − | 212.241i | −0.706398 | − | 0.288763i | ||||
\(736\) | 0.539549 | − | 9.59444i | 0.000733082 | − | 0.0130359i | ||||
\(737\) | −122.670 | − | 70.8235i | −0.166445 | − | 0.0960971i | ||||
\(738\) | −340.851 | + | 390.567i | −0.461858 | + | 0.529224i | ||||
\(739\) | 329.157 | − | 190.039i | 0.445409 | − | 0.257157i | −0.260480 | − | 0.965479i | \(-0.583881\pi\) |
0.705889 | + | 0.708322i | \(0.250548\pi\) | |||||||
\(740\) | 367.311 | − | 1555.35i | 0.496366 | − | 2.10183i | ||||
\(741\) | −555.347 | − | 21.6631i | −0.749456 | − | 0.0292350i | ||||
\(742\) | 114.373 | − | 49.3898i | 0.154141 | − | 0.0665631i | ||||
\(743\) | −107.259 | + | 294.691i | −0.144359 | + | 0.396624i | −0.990708 | − | 0.136005i | \(-0.956574\pi\) |
0.846349 | + | 0.532629i | \(0.178796\pi\) | |||||||
\(744\) | −487.753 | + | 67.1167i | −0.655581 | + | 0.0902106i | ||||
\(745\) | 115.134 | − | 652.960i | 0.154543 | − | 0.876456i | ||||
\(746\) | 130.272 | − | 435.774i | 0.174628 | − | 0.584148i | ||||
\(747\) | −333.491 | − | 698.167i | −0.446440 | − | 0.934627i | ||||
\(748\) | −92.1379 | + | 140.333i | −0.123179 | + | 0.187612i | ||||
\(749\) | −657.134 | − | 551.401i | −0.877349 | − | 0.736183i | ||||
\(750\) | 138.459 | + | 111.633i | 0.184612 | + | 0.148844i | ||||
\(751\) | −152.092 | − | 862.554i | −0.202519 | − | 1.14854i | −0.901297 | − | 0.433202i | \(-0.857384\pi\) |
0.698778 | − | 0.715338i | \(-0.253727\pi\) | |||||||
\(752\) | 340.870 | + | 516.464i | 0.453284 | + | 0.686788i | ||||
\(753\) | 88.7126 | − | 28.4247i | 0.117812 | − | 0.0377486i | ||||
\(754\) | 1394.46 | + | 699.627i | 1.84942 | + | 0.927887i | ||||
\(755\) | 1179.76 | 1.56260 | ||||||||
\(756\) | −382.028 | − | 320.436i | −0.505328 | − | 0.423857i | ||||
\(757\) | 554.865i | 0.732979i | 0.930422 | + | 0.366489i | \(0.119440\pi\) | ||||
−0.930422 | + | 0.366489i | \(0.880560\pi\) | |||||||
\(758\) | 767.242 | + | 384.939i | 1.01219 | + | 0.507835i | ||||
\(759\) | 1.33181 | + | 0.288772i | 0.00175469 | + | 0.000380464i | ||||
\(760\) | −80.9508 | + | 462.340i | −0.106514 | + | 0.608343i | ||||
\(761\) | −842.183 | + | 148.500i | −1.10668 | + | 0.195137i | −0.696985 | − | 0.717086i | \(-0.745476\pi\) |
−0.409694 | + | 0.912223i | \(0.634365\pi\) | |||||||
\(762\) | −45.7263 | + | 292.751i | −0.0600083 | + | 0.384187i | ||||
\(763\) | −400.350 | + | 477.119i | −0.524705 | + | 0.625319i | ||||
\(764\) | −427.870 | + | 651.680i | −0.560039 | + | 0.852985i | ||||
\(765\) | 1181.35 | − | 1203.51i | 1.54425 | − | 1.57321i | ||||
\(766\) | −305.273 | + | 1021.17i | −0.398529 | + | 1.33312i | ||||
\(767\) | 1954.40 | + | 344.614i | 2.54811 | + | 0.449301i | ||||
\(768\) | −193.800 | − | 743.146i | −0.252344 | − | 0.967638i | ||||
\(769\) | 434.350 | + | 158.091i | 0.564825 | + | 0.205580i | 0.608621 | − | 0.793461i | \(-0.291723\pi\) |
−0.0437961 | + | 0.999040i | \(0.513945\pi\) | |||||||
\(770\) | −86.6013 | + | 37.3973i | −0.112469 | + | 0.0485679i | ||||
\(771\) | 541.320 | − | 284.996i | 0.702101 | − | 0.369645i | ||||
\(772\) | 900.557 | + | 212.675i | 1.16652 | + | 0.275485i | ||||
\(773\) | 299.847 | + | 519.350i | 0.387900 | + | 0.671862i | 0.992167 | − | 0.124920i | \(-0.0398673\pi\) |
−0.604267 | + | 0.796782i | \(0.706534\pi\) | |||||||
\(774\) | 185.560 | + | 111.987i | 0.239741 | + | 0.144687i | ||||
\(775\) | 211.410 | − | 366.174i | 0.272788 | − | 0.472482i | ||||
\(776\) | 0.193566 | + | 161.202i | 0.000249441 | + | 0.207734i | ||||
\(777\) | 501.825 | + | 647.740i | 0.645850 | + | 0.833642i | ||||
\(778\) | 647.432 | + | 481.592i | 0.832174 | + | 0.619013i | ||||
\(779\) | −191.658 | + | 160.821i | −0.246031 | + | 0.206445i | ||||
\(780\) | −462.461 | + | 1665.17i | −0.592899 | + | 2.13484i | ||||
\(781\) | 3.07211 | + | 8.44055i | 0.00393356 | + | 0.0108074i | ||||
\(782\) | −12.1163 | + | 11.4403i | −0.0154940 | + | 0.0146295i | ||||
\(783\) | −283.847 | + | 946.014i | −0.362512 | + | 1.20819i | ||||
\(784\) | 440.038 | + | 50.7191i | 0.561273 | + | 0.0646927i | ||||
\(785\) | −46.9023 | − | 128.863i | −0.0597481 | − | 0.164157i | ||||
\(786\) | 640.468 | − | 1161.28i | 0.814844 | − | 1.47745i | ||||
\(787\) | −943.074 | − | 1123.91i | −1.19831 | − | 1.42810i | −0.876574 | − | 0.481268i | \(-0.840176\pi\) |
−0.321741 | − | 0.946828i | \(-0.604268\pi\) | |||||||
\(788\) | 779.561 | − | 91.7502i | 0.989290 | − | 0.116434i | ||||
\(789\) | −328.836 | + | 44.8468i | −0.416775 | + | 0.0568401i | ||||
\(790\) | 1434.77 | − | 84.1420i | 1.81616 | − | 0.106509i | ||||
\(791\) | −396.508 | − | 228.924i | −0.501274 | − | 0.289411i | ||||
\(792\) | 108.392 | − | 10.6299i | 0.136858 | − | 0.0134216i | ||||
\(793\) | 806.885 | + | 1397.57i | 1.01751 | + | 1.76238i | ||||
\(794\) | −375.998 | + | 247.514i | −0.473549 | + | 0.311730i | ||||
\(795\) | 145.802 | − | 231.226i | 0.183398 | − | 0.290850i | ||||
\(796\) | −296.687 | + | 689.315i | −0.372722 | + | 0.865973i | ||||
\(797\) | 585.575 | + | 213.132i | 0.734724 | + | 0.267418i | 0.682163 | − | 0.731200i | \(-0.261039\pi\) |
0.0525610 | + | 0.998618i | \(0.483262\pi\) | |||||||
\(798\) | −158.271 | − | 181.287i | −0.198335 | − | 0.227176i | ||||
\(799\) | 186.337 | − | 1056.77i | 0.233213 | − | 1.32261i | ||||
\(800\) | 606.127 | + | 260.020i | 0.757659 | + | 0.325025i | ||||
\(801\) | 66.3911 | − | 145.900i | 0.0828853 | − | 0.182147i | ||||
\(802\) | 257.347 | − | 61.1012i | 0.320882 | − | 0.0761861i | ||||
\(803\) | 31.8016 | + | 26.6847i | 0.0396034 | + | 0.0332312i | ||||
\(804\) | −1014.05 | − | 484.139i | −1.26125 | − | 0.602162i | ||||
\(805\) | −9.22123 | + | 1.62595i | −0.0114549 | + | 0.00201982i | ||||
\(806\) | −869.047 | − | 101.224i | −1.07822 | − | 0.125589i | ||||
\(807\) | 605.950 | + | 550.095i | 0.750867 | + | 0.681654i | ||||
\(808\) | −316.105 | − | 181.997i | −0.391219 | − | 0.225244i | ||||
\(809\) | − | 1369.65i | − | 1.69301i | −0.532381 | − | 0.846505i | \(-0.678703\pi\) | ||
0.532381 | − | 0.846505i | \(-0.321297\pi\) | |||||||
\(810\) | −1088.90 | − | 106.369i | −1.34432 | − | 0.131320i | ||||
\(811\) | − | 320.745i | − | 0.395494i | −0.980253 | − | 0.197747i | \(-0.936638\pi\) | ||
0.980253 | − | 0.197747i | \(-0.0633624\pi\) | |||||||
\(812\) | 194.269 | + | 647.019i | 0.239248 | + | 0.796822i | ||||
\(813\) | −843.843 | − | 766.060i | −1.03794 | − | 0.942263i | ||||
\(814\) | −177.773 | − | 20.7066i | −0.218394 | − | 0.0254381i | ||||
\(815\) | 170.445 | − | 30.0540i | 0.209135 | − | 0.0368761i | ||||
\(816\) | −641.768 | + | 1166.95i | −0.786480 | + | 1.43008i | ||||
\(817\) | 80.1314 | + | 67.2382i | 0.0980801 | + | 0.0822989i | ||||
\(818\) | −145.198 | − | 611.550i | −0.177504 | − | 0.747616i | ||||
\(819\) | −514.950 | − | 721.075i | −0.628755 | − | 0.880434i | ||||
\(820\) | 349.717 | + | 694.956i | 0.426484 | + | 0.847507i | ||||
\(821\) | −180.910 | + | 1025.99i | −0.220353 | + | 1.24969i | 0.651018 | + | 0.759062i | \(0.274342\pi\) |
−0.871371 | + | 0.490624i | \(0.836769\pi\) | |||||||
\(822\) | −842.283 | − | 964.765i | −1.02467 | − | 1.17368i | ||||
\(823\) | −1071.75 | − | 390.085i | −1.30225 | − | 0.473980i | −0.404520 | − | 0.914529i | \(-0.632561\pi\) |
−0.897728 | + | 0.440550i | \(0.854784\pi\) | |||||||
\(824\) | 523.778 | + | 1433.71i | 0.635652 | + | 1.73994i | ||||
\(825\) | −49.8876 | + | 79.1164i | −0.0604698 | + | 0.0958986i | ||||
\(826\) | 472.499 | + | 717.774i | 0.572033 | + | 0.868976i | ||||
\(827\) | −582.080 | − | 1008.19i | −0.703845 | − | 1.21910i | −0.967107 | − | 0.254371i | \(-0.918132\pi\) |
0.263262 | − | 0.964724i | \(-0.415202\pi\) | |||||||
\(828\) | 10.7119 | + | 1.45882i | 0.0129371 | + | 0.00176186i | ||||
\(829\) | −122.099 | − | 70.4938i | −0.147284 | − | 0.0850347i | 0.424547 | − | 0.905406i | \(-0.360433\pi\) |
−0.571831 | + | 0.820371i | \(0.693767\pi\) | |||||||
\(830\) | −1159.21 | + | 67.9820i | −1.39664 | + | 0.0819061i | ||||
\(831\) | 212.187 | − | 28.9381i | 0.255339 | − | 0.0348233i | ||||
\(832\) | −3.27753 | − | 1364.76i | −0.00393934 | − | 1.64034i | ||||
\(833\) | −493.735 | − | 588.410i | −0.592719 | − | 0.706375i | ||||
\(834\) | −311.510 | − | 171.804i | −0.373513 | − | 0.206000i | ||||
\(835\) | −201.594 | − | 553.874i | −0.241430 | − | 0.663323i | ||||
\(836\) | 52.4786 | + | 3.01438i | 0.0627734 | + | 0.00360572i | ||||
\(837\) | −31.8685 | − | 552.975i | −0.0380747 | − | 0.660663i | ||||
\(838\) | 446.569 | − | 421.654i | 0.532899 | − | 0.503167i | ||||
\(839\) | −168.542 | − | 463.064i | −0.200884 | − | 0.551924i | 0.797816 | − | 0.602901i | \(-0.205989\pi\) |
−0.998700 | + | 0.0509772i | \(0.983766\pi\) | |||||||
\(840\) | −661.746 | + | 349.415i | −0.787793 | + | 0.415970i | ||||
\(841\) | 380.840 | − | 319.562i | 0.452842 | − | 0.379979i | ||||
\(842\) | −278.655 | + | 374.612i | −0.330945 | + | 0.444907i | ||||
\(843\) | −232.377 | − | 299.944i | −0.275654 | − | 0.355806i | ||||
\(844\) | −1005.64 | − | 947.254i | −1.19152 | − | 1.12234i | ||||
\(845\) | −964.860 | + | 1671.19i | −1.14185 | + | 1.97773i | ||||
\(846\) | −609.533 | + | 336.321i | −0.720489 | + | 0.397543i | ||||
\(847\) | −274.039 | − | 474.649i | −0.323541 | − | 0.560389i | ||||
\(848\) | −61.5812 | + | 206.901i | −0.0726194 | + | 0.243987i | ||||
\(849\) | 195.306 | − | 102.825i | 0.230042 | − | 0.121114i | ||||
\(850\) | −453.420 | − | 1049.99i | −0.533435 | − | 1.23528i | ||||
\(851\) | −16.6940 | − | 6.07613i | −0.0196170 | − | 0.00713999i | ||||
\(852\) | 29.5254 | + | 64.8515i | 0.0346542 | + | 0.0761168i | ||||
\(853\) | −1415.64 | − | 249.616i | −1.65960 | − | 0.292633i | −0.736286 | − | 0.676670i | \(-0.763422\pi\) |
−0.923318 | + | 0.384037i | \(0.874533\pi\) | |||||||
\(854\) | −200.145 | + | 669.506i | −0.234362 | + | 0.783965i | ||||
\(855\) | −511.300 | − | 131.924i | −0.598012 | − | 0.154297i | ||||
\(856\) | 1463.53 | − | 259.872i | 1.70973 | − | 0.303589i | ||||
\(857\) | −360.304 | + | 429.394i | −0.420425 | + | 0.501043i | −0.934135 | − | 0.356921i | \(-0.883827\pi\) |
0.513709 | + | 0.857964i | \(0.328271\pi\) | |||||||
\(858\) | 191.222 | + | 29.8680i | 0.222869 | + | 0.0348112i | ||||
\(859\) | −546.928 | + | 96.4382i | −0.636703 | + | 0.112268i | −0.482677 | − | 0.875799i | \(-0.660335\pi\) |
−0.154027 | + | 0.988067i | \(0.549224\pi\) | |||||||
\(860\) | 260.753 | − | 194.448i | 0.303202 | − | 0.226103i | ||||
\(861\) | −389.828 | − | 84.5250i | −0.452761 | − | 0.0981707i | ||||
\(862\) | 1483.69 | + | 744.392i | 1.72121 | + | 0.863563i | ||||
\(863\) | 854.303i | 0.989922i | 0.868915 | + | 0.494961i | \(0.164818\pi\) | ||||
−0.868915 | + | 0.494961i | \(0.835182\pi\) | |||||||
\(864\) | 850.664 | − | 151.215i | 0.984565 | − | 0.175018i | ||||
\(865\) | 1145.90 | 1.32474 | ||||||||
\(866\) | 361.111 | − | 719.750i | 0.416988 | − | 0.831120i | ||||
\(867\) | 1373.63 | − | 440.127i | 1.58434 | − | 0.507644i | ||||
\(868\) | −226.478 | − | 303.705i | −0.260919 | − | 0.349890i | ||||
\(869\) | −27.9497 | − | 158.510i | −0.0321630 | − | 0.182405i | ||||
\(870\) | 1153.96 | + | 930.382i | 1.32639 | + | 1.06940i | ||||
\(871\) | −1529.67 | − | 1283.54i | −1.75622 | − | 1.47364i | ||||
\(872\) | −188.683 | − | 1062.61i | −0.216379 | − | 1.21859i | ||||
\(873\) | −180.801 | − | 14.1270i | −0.207103 | − | 0.0161821i | ||||
\(874\) | 4.99911 | + | 1.49446i | 0.00571981 | + | 0.00170990i | ||||
\(875\) | −23.7650 | + | 134.778i | −0.0271600 | + | 0.154032i | ||||
\(876\) | 268.043 | + | 191.344i | 0.305985 | + | 0.218429i | ||||
\(877\) | −181.532 | + | 498.754i | −0.206992 | + | 0.568705i | −0.999133 | − | 0.0416327i | \(-0.986744\pi\) |
0.792141 | + | 0.610338i | \(0.208966\pi\) | |||||||
\(878\) | 183.466 | − | 79.2264i | 0.208959 | − | 0.0902351i | ||||
\(879\) | 376.794 | + | 14.6981i | 0.428662 | + | 0.0167214i | ||||
\(880\) | 46.6285 | − | 156.662i | 0.0529869 | − | 0.178025i | ||||
\(881\) | 377.339 | − | 217.857i | 0.428307 | − | 0.247283i | −0.270318 | − | 0.962771i | \(-0.587129\pi\) |
0.698625 | + | 0.715488i | \(0.253795\pi\) | |||||||
\(882\) | −96.0356 | + | 488.979i | −0.108884 | + | 0.554398i | ||||
\(883\) | −918.967 | − | 530.566i | −1.04073 | − | 0.600867i | −0.120692 | − | 0.992690i | \(-0.538511\pi\) |
−0.920041 | + | 0.391823i | \(0.871845\pi\) | |||||||
\(884\) | −1622.69 | + | 1722.72i | −1.83563 | + | 1.94877i | ||||
\(885\) | 1745.36 | + | 713.472i | 1.97216 | + | 0.806183i | ||||
\(886\) | 551.892 | + | 410.525i | 0.622902 | + | 0.463346i | ||||
\(887\) | 14.9599 | + | 17.8285i | 0.0168657 | + | 0.0200998i | 0.774411 | − | 0.632682i | \(-0.218046\pi\) |
−0.757546 | + | 0.652782i | \(0.773602\pi\) | |||||||
\(888\) | −1418.80 | − | 53.6388i | −1.59775 | − | 0.0604040i | ||||
\(889\) | −214.247 | + | 77.9795i | −0.240998 | + | 0.0877160i | ||||
\(890\) | −165.159 | − | 174.918i | −0.185572 | − | 0.196537i | ||||
\(891\) | 2.27626 | + | 122.505i | 0.00255472 | + | 0.137491i | ||||
\(892\) | 18.1369 | − | 315.753i | 0.0203329 | − | 0.353984i | ||||
\(893\) | −315.732 | + | 114.917i | −0.353564 | + | 0.128687i | ||||
\(894\) | −588.937 | + | 11.5384i | −0.658767 | + | 0.0129065i | ||||
\(895\) | 233.991 | − | 196.342i | 0.261443 | − | 0.219376i | ||||
\(896\) | 428.711 | − | 406.744i | 0.478472 | − | 0.453956i | ||||
\(897\) | 17.7828 | + | 7.26930i | 0.0198248 | + | 0.00810401i | ||||
\(898\) | 25.1348 | + | 428.593i | 0.0279898 | + | 0.477275i | ||||
\(899\) | −375.218 | + | 649.897i | −0.417373 | + | 0.722911i | ||||
\(900\) | −345.541 | + | 656.620i | −0.383934 | + | 0.729577i | ||||
\(901\) | 324.186 | − | 187.169i | 0.359807 | − | 0.207735i | ||||
\(902\) | 72.7742 | − | 47.9061i | 0.0806809 | − | 0.0531110i | ||||
\(903\) | −6.50055 | + | 166.645i | −0.00719884 | + | 0.184546i | ||||
\(904\) | 745.175 | − | 272.235i | 0.824309 | − | 0.301145i | ||||
\(905\) | 17.6584 | − | 48.5162i | 0.0195121 | − | 0.0536090i | ||||
\(906\) | −202.188 | − | 1028.43i | −0.223166 | − | 1.13514i | ||||
\(907\) | −409.870 | − | 72.2712i | −0.451897 | − | 0.0796816i | −0.0569324 | − | 0.998378i | \(-0.518132\pi\) |
−0.394964 | + | 0.918696i | \(0.629243\pi\) | |||||||
\(908\) | 1143.30 | − | 575.335i | 1.25915 | − | 0.633629i | ||||
\(909\) | 232.233 | − | 338.309i | 0.255482 | − | 0.372177i | ||||
\(910\) | −1293.84 | + | 307.194i | −1.42181 | + | 0.337575i | ||||
\(911\) | −367.170 | + | 437.577i | −0.403041 | + | 0.480326i | −0.928945 | − | 0.370219i | \(-0.879283\pi\) |
0.525904 | + | 0.850544i | \(0.323727\pi\) | |||||||
\(912\) | 416.910 | − | 8.66886i | 0.457138 | − | 0.00950533i | ||||
\(913\) | 22.5818 | + | 128.067i | 0.0247336 | + | 0.140271i | ||||
\(914\) | 30.4986 | − | 261.841i | 0.0333683 | − | 0.286478i | ||||
\(915\) | 467.850 | + | 1460.15i | 0.511312 | + | 1.59579i | ||||
\(916\) | 1613.33 | − | 484.406i | 1.76128 | − | 0.528828i | ||||
\(917\) | 1020.47 | 1.11284 | ||||||||
\(918\) | −1251.60 | − | 823.564i | −1.36339 | − | 0.897129i | ||||
\(919\) | −1268.54 | −1.38034 | −0.690172 | − | 0.723645i | \(-0.742465\pi\) | ||||
−0.690172 | + | 0.723645i | \(0.742465\pi\) | |||||||
\(920\) | 8.09552 | − | 14.0608i | 0.00879948 | − | 0.0152835i | ||||
\(921\) | 1230.68 | + | 266.844i | 1.33624 | + | 0.289733i | ||||
\(922\) | 3.12646 | − | 26.8418i | 0.00339096 | − | 0.0291125i | ||||
\(923\) | 21.9883 | + | 124.702i | 0.0238226 | + | 0.135105i | ||||
\(924\) | 47.4422 | + | 69.0839i | 0.0513443 | + | 0.0747661i | ||||
\(925\) | 783.759 | − | 934.047i | 0.847307 | − | 1.00978i | ||||
\(926\) | −237.430 | − | 1000.01i | −0.256404 | − | 1.07993i | ||||
\(927\) | −1654.48 | + | 459.830i | −1.78476 | + | 0.496041i | ||||
\(928\) | −1075.77 | − | 461.493i | −1.15924 | − | 0.497298i | ||||
\(929\) | −704.463 | − | 124.216i | −0.758303 | − | 0.133709i | −0.218889 | − | 0.975750i | \(-0.570243\pi\) |
−0.539414 | + | 0.842041i | \(0.681354\pi\) | |||||||
\(930\) | −786.566 | − | 268.958i | −0.845770 | − | 0.289202i | ||||
\(931\) | −82.2588 | + | 226.004i | −0.0883553 | + | 0.242754i | ||||
\(932\) | −1312.37 | − | 564.854i | −1.40812 | − | 0.606067i | ||||
\(933\) | −1069.21 | + | 562.924i | −1.14599 | + | 0.603349i | ||||
\(934\) | −426.718 | − | 648.228i | −0.456871 | − | 0.694034i | ||||
\(935\) | −245.469 | + | 141.722i | −0.262534 | + | 0.151574i | ||||
\(936\) | 1530.84 | + | 117.764i | 1.63551 | + | 0.125816i | ||||
\(937\) | −404.578 | + | 700.749i | −0.431780 | + | 0.747865i | −0.997027 | − | 0.0770572i | \(-0.975448\pi\) |
0.565247 | + | 0.824922i | \(0.308781\pi\) | |||||||
\(938\) | −50.6208 | − | 863.173i | −0.0539667 | − | 0.920227i | ||||
\(939\) | 296.251 | − | 229.516i | 0.315497 | − | 0.244426i | ||||
\(940\) | 122.124 | + | 1037.64i | 0.129919 | + | 1.10387i | ||||
\(941\) | 1000.74 | − | 839.722i | 1.06349 | − | 0.892372i | 0.0690412 | − | 0.997614i | \(-0.478006\pi\) |
0.994447 | + | 0.105242i | \(0.0335616\pi\) | |||||||
\(942\) | −104.296 | + | 62.9708i | −0.110717 | + | 0.0668479i | ||||
\(943\) | 8.12682 | − | 2.95792i | 0.00861805 | − | 0.00313671i | ||||
\(944\) | −1479.24 | − | 170.498i | −1.56699 | − | 0.180612i | ||||
\(945\) | −332.976 | − | 773.223i | −0.352356 | − | 0.818226i | ||||
\(946\) | −25.0085 | − | 26.4862i | −0.0264361 | − | 0.0279981i | ||||
\(947\) | −827.453 | + | 301.168i | −0.873762 | + | 0.318023i | −0.739690 | − | 0.672948i | \(-0.765028\pi\) |
−0.134072 | + | 0.990972i | \(0.542805\pi\) | |||||||
\(948\) | −319.241 | − | 1236.31i | −0.336752 | − | 1.30413i | ||||
\(949\) | 376.182 | + | 448.316i | 0.396398 | + | 0.472409i | ||||
\(950\) | −213.735 | + | 287.336i | −0.224984 | + | 0.302459i | ||||
\(951\) | −2.33192 | − | 17.0986i | −0.00245208 | − | 0.0179797i | ||||
\(952\) | −1024.77 | + | 1.23052i | −1.07644 | + | 0.00129256i | ||||
\(953\) | 735.694 | + | 424.753i | 0.771976 | + | 0.445701i | 0.833579 | − | 0.552400i | \(-0.186288\pi\) |
−0.0616028 | + | 0.998101i | \(0.519621\pi\) | |||||||
\(954\) | −226.554 | − | 87.4723i | −0.237478 | − | 0.0916900i | ||||
\(955\) | −1139.91 | + | 658.127i | −1.19362 | + | 0.689139i | ||||
\(956\) | −61.0339 | + | 258.444i | −0.0638430 | + | 0.270339i | ||||
\(957\) | 88.5422 | − | 140.418i | 0.0925206 | − | 0.146728i | ||||
\(958\) | 364.323 | + | 843.666i | 0.380295 | + | 0.880654i | ||||
\(959\) | 337.053 | − | 926.047i | 0.351463 | − | 0.965638i | ||||
\(960\) | 271.727 | − | 1267.90i | 0.283049 | − | 1.32073i | ||||
\(961\) | −93.7968 | + | 531.948i | −0.0976033 | + | 0.553536i | ||||
\(962\) | −2417.36 | − | 722.655i | −2.51285 | − | 0.751201i | ||||
\(963\) | 161.212 | + | 1664.44i | 0.167406 | + | 1.72839i | ||||
\(964\) | −751.245 | − | 493.240i | −0.779300 | − | 0.511660i | ||||
\(965\) | 1196.81 | + | 1004.24i | 1.24021 | + | 1.04066i | ||||
\(966\) | 2.99773 | + | 7.75978i | 0.00310324 | + | 0.00803290i | ||||
\(967\) | −62.4498 | − | 354.170i | −0.0645810 | − | 0.366257i | −0.999922 | − | 0.0125090i | \(-0.996018\pi\) |
0.935341 | − | 0.353748i | \(-0.115093\pi\) | |||||||
\(968\) | 935.464 | + | 163.790i | 0.966389 | + | 0.169204i | ||||
\(969\) | −535.398 | − | 486.047i | −0.552527 | − | 0.501596i | ||||
\(970\) | −122.053 | + | 243.271i | −0.125828 | + | 0.250795i | ||||
\(971\) | 854.823 | 0.880354 | 0.440177 | − | 0.897911i | \(-0.354916\pi\) | ||||
0.440177 | + | 0.897911i | \(0.354916\pi\) | |||||||
\(972\) | 93.8906 | + | 967.455i | 0.0965953 | + | 0.995324i | ||||
\(973\) | − | 273.739i | − | 0.281335i | ||||||
\(974\) | 382.566 | − | 762.512i | 0.392778 | − | 0.782867i | ||||
\(975\) | −886.270 | + | 976.259i | −0.908995 | + | 1.00129i | ||||
\(976\) | −666.981 | − | 1010.57i | −0.683382 | − | 1.03542i | ||||
\(977\) | 1622.79 | − | 286.141i | 1.66099 | − | 0.292878i | 0.737172 | − | 0.675706i | \(-0.236161\pi\) |
0.923820 | + | 0.382828i | \(0.125050\pi\) | |||||||
\(978\) | −55.4100 | − | 143.431i | −0.0566564 | − | 0.146658i | ||||
\(979\) | −17.3176 | + | 20.6383i | −0.0176891 | + | 0.0210810i | ||||
\(980\) | 625.170 | + | 410.465i | 0.637929 | + | 0.418841i | ||||
\(981\) | 1208.48 | − | 117.050i | 1.23189 | − | 0.119317i | ||||
\(982\) | −1509.54 | − | 451.268i | −1.53721 | − | 0.459540i | ||||
\(983\) | 1408.61 | + | 248.376i | 1.43297 | + | 0.252672i | 0.835621 | − | 0.549307i | \(-0.185108\pi\) |
0.597353 | + | 0.801979i | \(0.296219\pi\) | |||||||
\(984\) | 545.880 | − | 423.961i | 0.554756 | − | 0.430855i | ||||
\(985\) | 1245.37 | + | 453.276i | 1.26433 | + | 0.460179i | ||||
\(986\) | 804.745 | + | 1863.56i | 0.816171 | + | 1.89002i | ||||
\(987\) | −453.122 | − | 285.721i | −0.459091 | − | 0.289484i | ||||
\(988\) | 721.187 | + | 170.315i | 0.729947 | + | 0.172384i | ||||
\(989\) | −1.80792 | − | 3.13141i | −0.00182803 | − | 0.00316624i | ||||
\(990\) | 171.544 | + | 66.2328i | 0.173277 | + | 0.0669018i | ||||
\(991\) | −975.574 | + | 1689.74i | −0.984434 | + | 1.70509i | −0.340010 | + | 0.940422i | \(0.610431\pi\) |
−0.644424 | + | 0.764668i | \(0.722903\pi\) | |||||||
\(992\) | 655.429 | + | 36.8584i | 0.660715 | + | 0.0371557i | ||||
\(993\) | −157.999 | + | 21.5480i | −0.159113 | + | 0.0216999i | ||||
\(994\) | −32.7248 | + | 43.9938i | −0.0329223 | + | 0.0442593i | ||||
\(995\) | −970.623 | + | 814.449i | −0.975501 | + | 0.818542i | ||||
\(996\) | 257.929 | + | 998.872i | 0.258965 | + | 1.00288i | ||||
\(997\) | 280.247 | + | 769.974i | 0.281091 | + | 0.772290i | 0.997233 | + | 0.0743363i | \(0.0236838\pi\) |
−0.716143 | + | 0.697954i | \(0.754094\pi\) | |||||||
\(998\) | −537.469 | − | 569.227i | −0.538546 | − | 0.570368i | ||||
\(999\) | 186.402 | − | 1586.38i | 0.186589 | − | 1.58796i |
(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 | 216.3.x.a.101.25 | yes | 420 | |
8.5 | even | 2 | inner | 216.3.x.a.101.63 | yes | 420 | |
27.23 | odd | 18 | inner | 216.3.x.a.77.63 | yes | 420 | |
216.77 | odd | 18 | inner | 216.3.x.a.77.25 | ✓ | 420 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
216.3.x.a.77.25 | ✓ | 420 | 216.77 | odd | 18 | inner | |
216.3.x.a.77.63 | yes | 420 | 27.23 | odd | 18 | inner | |
216.3.x.a.101.25 | yes | 420 | 1.1 | even | 1 | trivial | |
216.3.x.a.101.63 | yes | 420 | 8.5 | even | 2 | inner |