Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(208,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.208");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.n (of order \(12\), degree \(4\), 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: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(256\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 208.2 | ||
Character | \(\chi\) | \(=\) | 731.208 |
Dual form | 731.2.n.a.608.63 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 2.67881i | − | 1.89420i | −0.320937 | − | 0.947101i | \(-0.603998\pi\) | ||
0.320937 | − | 0.947101i | \(-0.396002\pi\) | |||||||
\(3\) | −0.393175 | − | 0.105351i | −0.226999 | − | 0.0608243i | 0.143526 | − | 0.989646i | \(-0.454156\pi\) |
−0.370526 | + | 0.928822i | \(0.620822\pi\) | |||||||
\(4\) | −5.17600 | −2.58800 | ||||||||
\(5\) | 3.35902 | + | 0.900047i | 1.50220 | + | 0.402513i | 0.913836 | − | 0.406084i | \(-0.133106\pi\) |
0.588363 | + | 0.808597i | \(0.299773\pi\) | |||||||
\(6\) | −0.282214 | + | 1.05324i | −0.115213 | + | 0.429983i | ||||
\(7\) | −1.82716 | + | 0.489587i | −0.690602 | + | 0.185046i | −0.587017 | − | 0.809574i | \(-0.699698\pi\) |
−0.103585 | + | 0.994621i | \(0.533031\pi\) | |||||||
\(8\) | 8.50788i | 3.00799i | ||||||||
\(9\) | −2.45459 | − | 1.41716i | −0.818196 | − | 0.472386i | ||||
\(10\) | 2.41105 | − | 8.99816i | 0.762441 | − | 2.84547i | ||||
\(11\) | −2.86515 | − | 2.86515i | −0.863875 | − | 0.863875i | 0.127911 | − | 0.991786i | \(-0.459173\pi\) |
−0.991786 | + | 0.127911i | \(0.959173\pi\) | |||||||
\(12\) | 2.03507 | + | 0.545295i | 0.587474 | + | 0.157413i | ||||
\(13\) | −2.42672 | + | 4.20320i | −0.673050 | + | 1.16576i | 0.303985 | + | 0.952677i | \(0.401683\pi\) |
−0.977035 | + | 0.213080i | \(0.931651\pi\) | |||||||
\(14\) | 1.31151 | + | 4.89461i | 0.350515 | + | 1.30814i | ||||
\(15\) | −1.22586 | − | 0.707751i | −0.316516 | − | 0.182740i | ||||
\(16\) | 12.4389 | 3.10974 | ||||||||
\(17\) | −0.418714 | − | 4.10179i | −0.101553 | − | 0.994830i | ||||
\(18\) | −3.79629 | + | 6.57536i | −0.894794 | + | 1.54983i | ||||
\(19\) | −5.21121 | + | 3.00869i | −1.19553 | + | 0.690241i | −0.959556 | − | 0.281518i | \(-0.909162\pi\) |
−0.235977 | + | 0.971759i | \(0.575829\pi\) | |||||||
\(20\) | −17.3863 | − | 4.65864i | −3.88769 | − | 1.04170i | ||||
\(21\) | 0.769972 | 0.168022 | ||||||||
\(22\) | −7.67518 | + | 7.67518i | −1.63635 | + | 1.63635i | ||||
\(23\) | −0.191642 | + | 0.715219i | −0.0399602 | + | 0.149133i | −0.983023 | − | 0.183480i | \(-0.941264\pi\) |
0.943063 | + | 0.332613i | \(0.107930\pi\) | |||||||
\(24\) | 0.896312 | − | 3.34508i | 0.182959 | − | 0.682812i | ||||
\(25\) | 6.14280 | + | 3.54655i | 1.22856 | + | 0.709309i | ||||
\(26\) | 11.2595 | + | 6.50070i | 2.20818 | + | 1.27489i | ||||
\(27\) | 1.67925 | + | 1.67925i | 0.323173 | + | 0.323173i | ||||
\(28\) | 9.45739 | − | 2.53410i | 1.78728 | − | 0.478900i | ||||
\(29\) | 2.53130 | + | 9.44693i | 0.470050 | + | 1.75425i | 0.639578 | + | 0.768726i | \(0.279109\pi\) |
−0.169528 | + | 0.985525i | \(0.554224\pi\) | |||||||
\(30\) | −1.89593 | + | 3.28384i | −0.346147 | + | 0.599545i | ||||
\(31\) | −6.00571 | − | 1.60922i | −1.07866 | − | 0.289025i | −0.324611 | − | 0.945848i | \(-0.605233\pi\) |
−0.754045 | + | 0.656822i | \(0.771900\pi\) | |||||||
\(32\) | − | 16.3058i | − | 2.88248i | ||||||
\(33\) | 0.824658 | + | 1.42835i | 0.143555 | + | 0.248644i | ||||
\(34\) | −10.9879 | + | 1.12165i | −1.88441 | + | 0.192362i | ||||
\(35\) | −6.57812 | −1.11191 | ||||||||
\(36\) | 12.7049 | + | 7.33520i | 2.11749 | + | 1.22253i | ||||
\(37\) | −9.45652 | − | 2.53387i | −1.55464 | − | 0.416565i | −0.623679 | − | 0.781680i | \(-0.714363\pi\) |
−0.930962 | + | 0.365115i | \(0.881030\pi\) | |||||||
\(38\) | 8.05970 | + | 13.9598i | 1.30746 | + | 2.26458i | ||||
\(39\) | 1.39693 | − | 1.39693i | 0.223688 | − | 0.223688i | ||||
\(40\) | −7.65748 | + | 28.5781i | −1.21075 | + | 4.51860i | ||||
\(41\) | 4.08647 | + | 4.08647i | 0.638199 | + | 0.638199i | 0.950111 | − | 0.311912i | \(-0.100969\pi\) |
−0.311912 | + | 0.950111i | \(0.600969\pi\) | |||||||
\(42\) | − | 2.06261i | − | 0.318267i | ||||||
\(43\) | 0.144398 | − | 6.55585i | 0.0220205 | − | 0.999758i | ||||
\(44\) | 14.8300 | + | 14.8300i | 2.23571 | + | 2.23571i | ||||
\(45\) | −6.96950 | − | 6.96950i | −1.03895 | − | 1.03895i | ||||
\(46\) | 1.91593 | + | 0.513373i | 0.282489 | + | 0.0756927i | ||||
\(47\) | 1.64427 | 0.239841 | 0.119921 | − | 0.992783i | \(-0.461736\pi\) | ||||
0.119921 | + | 0.992783i | \(0.461736\pi\) | |||||||
\(48\) | −4.89068 | − | 1.31045i | −0.705908 | − | 0.189148i | ||||
\(49\) | −2.96335 | + | 1.71089i | −0.423336 | + | 0.244413i | ||||
\(50\) | 9.50051 | − | 16.4554i | 1.34357 | − | 2.32714i | ||||
\(51\) | −0.267499 | + | 1.65683i | −0.0374574 | + | 0.232003i | ||||
\(52\) | 12.5607 | − | 21.7557i | 1.74185 | − | 3.01698i | ||||
\(53\) | 8.63079 | − | 4.98299i | 1.18553 | − | 0.684466i | 0.228243 | − | 0.973604i | \(-0.426702\pi\) |
0.957287 | + | 0.289138i | \(0.0933687\pi\) | |||||||
\(54\) | 4.49840 | − | 4.49840i | 0.612154 | − | 0.612154i | ||||
\(55\) | −7.04532 | − | 12.2029i | −0.949991 | − | 1.64543i | ||||
\(56\) | −4.16534 | − | 15.5453i | −0.556617 | − | 2.07732i | ||||
\(57\) | 2.36588 | − | 0.633936i | 0.313369 | − | 0.0839669i | ||||
\(58\) | 25.3065 | − | 6.78085i | 3.32291 | − | 0.890370i | ||||
\(59\) | − | 12.8412i | − | 1.67179i | −0.548892 | − | 0.835893i | \(-0.684950\pi\) | ||
0.548892 | − | 0.835893i | \(-0.315050\pi\) | |||||||
\(60\) | 6.34505 | + | 3.66332i | 0.819142 | + | 0.472932i | ||||
\(61\) | −4.75453 | + | 1.27397i | −0.608756 | + | 0.163116i | −0.550011 | − | 0.835157i | \(-0.685376\pi\) |
−0.0587448 | + | 0.998273i | \(0.518710\pi\) | |||||||
\(62\) | −4.31080 | + | 16.0881i | −0.547472 | + | 2.04319i | ||||
\(63\) | 5.17875 | + | 1.38764i | 0.652462 | + | 0.174827i | ||||
\(64\) | −18.8021 | −2.35026 | ||||||||
\(65\) | −11.9345 | + | 11.9345i | −1.48029 | + | 1.48029i | ||||
\(66\) | 3.82627 | − | 2.20910i | 0.470981 | − | 0.271921i | ||||
\(67\) | 1.04200 | + | 1.80479i | 0.127300 | + | 0.220490i | 0.922630 | − | 0.385687i | \(-0.126036\pi\) |
−0.795330 | + | 0.606177i | \(0.792702\pi\) | |||||||
\(68\) | 2.16726 | + | 21.2308i | 0.262819 | + | 2.57462i | ||||
\(69\) | 0.150698 | − | 0.261016i | 0.0181419 | − | 0.0314227i | ||||
\(70\) | 17.6215i | 2.10617i | ||||||||
\(71\) | −0.951110 | − | 3.54959i | −0.112876 | − | 0.421259i | 0.886243 | − | 0.463220i | \(-0.153306\pi\) |
−0.999119 | + | 0.0419612i | \(0.986639\pi\) | |||||||
\(72\) | 12.0570 | − | 20.8833i | 1.42093 | − | 2.46112i | ||||
\(73\) | −1.53965 | − | 5.74605i | −0.180202 | − | 0.672524i | −0.995607 | − | 0.0936324i | \(-0.970152\pi\) |
0.815405 | − | 0.578891i | \(-0.196515\pi\) | |||||||
\(74\) | −6.78773 | + | 25.3322i | −0.789058 | + | 2.94480i | ||||
\(75\) | −2.04156 | − | 2.04156i | −0.235739 | − | 0.235739i | ||||
\(76\) | 26.9732 | − | 15.5730i | 3.09404 | − | 1.78634i | ||||
\(77\) | 6.63783 | + | 3.83235i | 0.756451 | + | 0.436737i | ||||
\(78\) | −3.74211 | − | 3.74211i | −0.423711 | − | 0.423711i | ||||
\(79\) | −1.86596 | + | 0.499981i | −0.209936 | + | 0.0562523i | −0.362254 | − | 0.932079i | \(-0.617993\pi\) |
0.152318 | + | 0.988332i | \(0.451326\pi\) | |||||||
\(80\) | 41.7827 | + | 11.1956i | 4.67144 | + | 1.25171i | ||||
\(81\) | 3.76814 | + | 6.52662i | 0.418683 | + | 0.725179i | ||||
\(82\) | 10.9469 | − | 10.9469i | 1.20888 | − | 1.20888i | ||||
\(83\) | −4.88834 | + | 2.82229i | −0.536566 | + | 0.309786i | −0.743686 | − | 0.668529i | \(-0.766924\pi\) |
0.207120 | + | 0.978315i | \(0.433591\pi\) | |||||||
\(84\) | −3.98537 | −0.434840 | ||||||||
\(85\) | 2.28533 | − | 14.1549i | 0.247879 | − | 1.53531i | ||||
\(86\) | −17.5618 | − | 0.386814i | −1.89374 | − | 0.0417113i | ||||
\(87\) | − | 3.98097i | − | 0.426805i | ||||||
\(88\) | 24.3763 | − | 24.3763i | 2.59853 | − | 2.59853i | ||||
\(89\) | −0.557799 | − | 0.966137i | −0.0591266 | − | 0.102410i | 0.834947 | − | 0.550330i | \(-0.185498\pi\) |
−0.894074 | + | 0.447920i | \(0.852165\pi\) | |||||||
\(90\) | −18.6699 | + | 18.6699i | −1.96798 | + | 1.96798i | ||||
\(91\) | 2.37618 | − | 8.86801i | 0.249091 | − | 0.929620i | ||||
\(92\) | 0.991940 | − | 3.70197i | 0.103417 | − | 0.385957i | ||||
\(93\) | 2.19176 | + | 1.26541i | 0.227275 | + | 0.131217i | ||||
\(94\) | − | 4.40467i | − | 0.454307i | ||||||
\(95\) | −20.2125 | + | 5.41592i | −2.07376 | + | 0.555662i | ||||
\(96\) | −1.71783 | + | 6.41101i | −0.175325 | + | 0.654321i | ||||
\(97\) | −6.87086 | + | 6.87086i | −0.697630 | + | 0.697630i | −0.963899 | − | 0.266269i | \(-0.914209\pi\) |
0.266269 | + | 0.963899i | \(0.414209\pi\) | |||||||
\(98\) | 4.58314 | + | 7.93824i | 0.462968 | + | 0.801883i | ||||
\(99\) | 2.97240 | + | 11.0931i | 0.298737 | + | 1.11490i | ||||
\(100\) | −31.7951 | − | 18.3569i | −3.17951 | − | 1.83569i | ||||
\(101\) | 2.68638 | − | 4.65294i | 0.267304 | − | 0.462985i | −0.700860 | − | 0.713299i | \(-0.747200\pi\) |
0.968165 | + | 0.250314i | \(0.0805337\pi\) | |||||||
\(102\) | 4.43833 | + | 0.716578i | 0.439460 | + | 0.0709518i | ||||
\(103\) | −4.65590 | + | 8.06426i | −0.458760 | + | 0.794595i | −0.998896 | − | 0.0469826i | \(-0.985039\pi\) |
0.540136 | + | 0.841578i | \(0.318373\pi\) | |||||||
\(104\) | −35.7603 | − | 20.6462i | −3.50658 | − | 2.02453i | ||||
\(105\) | 2.58635 | + | 0.693011i | 0.252402 | + | 0.0676309i | ||||
\(106\) | −13.3485 | − | 23.1202i | −1.29652 | − | 2.24563i | ||||
\(107\) | 6.14901 | − | 6.14901i | 0.594447 | − | 0.594447i | −0.344382 | − | 0.938829i | \(-0.611912\pi\) |
0.938829 | + | 0.344382i | \(0.111912\pi\) | |||||||
\(108\) | −8.69182 | − | 8.69182i | −0.836370 | − | 0.836370i | ||||
\(109\) | 2.70603 | − | 10.0990i | 0.259190 | − | 0.967311i | −0.706521 | − | 0.707692i | \(-0.749736\pi\) |
0.965711 | − | 0.259619i | \(-0.0835970\pi\) | |||||||
\(110\) | −32.6891 | + | 18.8730i | −3.11678 | + | 1.79947i | ||||
\(111\) | 3.45112 | + | 1.99250i | 0.327566 | + | 0.189120i | ||||
\(112\) | −22.7280 | + | 6.08994i | −2.14759 | + | 0.575445i | ||||
\(113\) | −5.98269 | − | 5.98269i | −0.562804 | − | 0.562804i | 0.367299 | − | 0.930103i | \(-0.380283\pi\) |
−0.930103 | + | 0.367299i | \(0.880283\pi\) | |||||||
\(114\) | −1.69819 | − | 6.33774i | −0.159050 | − | 0.593583i | ||||
\(115\) | −1.28746 | + | 2.22995i | −0.120056 | + | 0.207944i | ||||
\(116\) | −13.1020 | − | 48.8973i | −1.21649 | − | 4.54000i | ||||
\(117\) | 11.9132 | − | 6.87808i | 1.10137 | − | 0.635878i | ||||
\(118\) | −34.3992 | −3.16670 | ||||||||
\(119\) | 2.77324 | + | 7.28964i | 0.254222 | + | 0.668240i | ||||
\(120\) | 6.02146 | − | 10.4295i | 0.549681 | − | 0.952076i | ||||
\(121\) | 5.41816i | 0.492560i | ||||||||
\(122\) | 3.41273 | + | 12.7365i | 0.308974 | + | 1.15311i | ||||
\(123\) | −1.17618 | − | 2.03721i | −0.106053 | − | 0.183689i | ||||
\(124\) | 31.0855 | + | 8.32934i | 2.79156 | + | 0.747997i | ||||
\(125\) | 5.14686 | + | 5.14686i | 0.460349 | + | 0.460349i | ||||
\(126\) | 3.71722 | − | 13.8729i | 0.331157 | − | 1.23589i | ||||
\(127\) | 7.71681i | 0.684757i | 0.939562 | + | 0.342378i | \(0.111232\pi\) | ||||
−0.939562 | + | 0.342378i | \(0.888768\pi\) | |||||||
\(128\) | 17.7555i | 1.56938i | ||||||||
\(129\) | −0.747438 | + | 2.56238i | −0.0658082 | + | 0.225605i | ||||
\(130\) | 31.9701 | + | 31.9701i | 2.80396 | + | 2.80396i | ||||
\(131\) | −4.00544 | + | 4.00544i | −0.349957 | + | 0.349957i | −0.860093 | − | 0.510137i | \(-0.829595\pi\) |
0.510137 | + | 0.860093i | \(0.329595\pi\) | |||||||
\(132\) | −4.26843 | − | 7.39313i | −0.371519 | − | 0.643490i | ||||
\(133\) | 8.04870 | − | 8.04870i | 0.697911 | − | 0.697911i | ||||
\(134\) | 4.83468 | − | 2.79130i | 0.417653 | − | 0.241132i | ||||
\(135\) | 4.12924 | + | 7.15206i | 0.355388 | + | 0.615551i | ||||
\(136\) | 34.8975 | − | 3.56236i | 2.99244 | − | 0.305470i | ||||
\(137\) | −5.25790 | −0.449213 | −0.224606 | − | 0.974450i | \(-0.572110\pi\) | ||||
−0.224606 | + | 0.974450i | \(0.572110\pi\) | |||||||
\(138\) | −0.699212 | − | 0.403690i | −0.0595209 | − | 0.0343644i | ||||
\(139\) | −10.4619 | − | 2.80325i | −0.887366 | − | 0.237769i | −0.213783 | − | 0.976881i | \(-0.568579\pi\) |
−0.673582 | + | 0.739112i | \(0.735245\pi\) | |||||||
\(140\) | 34.0483 | 2.87761 | ||||||||
\(141\) | −0.646484 | − | 0.173225i | −0.0544438 | − | 0.0145882i | ||||
\(142\) | −9.50866 | + | 2.54784i | −0.797949 | + | 0.213810i | ||||
\(143\) | 18.9957 | − | 5.08988i | 1.58850 | − | 0.425637i | ||||
\(144\) | −30.5325 | − | 17.6279i | −2.54437 | − | 1.46900i | ||||
\(145\) | 34.0107i | 2.82444i | ||||||||
\(146\) | −15.3925 | + | 4.12442i | −1.27390 | + | 0.341339i | ||||
\(147\) | 1.34536 | − | 0.360488i | 0.110963 | − | 0.0297325i | ||||
\(148\) | 48.9469 | + | 13.1153i | 4.02341 | + | 1.07807i | ||||
\(149\) | 10.3217 | + | 17.8777i | 0.845586 | + | 1.46460i | 0.885112 | + | 0.465379i | \(0.154082\pi\) |
−0.0395261 | + | 0.999219i | \(0.512585\pi\) | |||||||
\(150\) | −5.46894 | + | 5.46894i | −0.446537 | + | 0.446537i | ||||
\(151\) | − | 7.84938i | − | 0.638774i | −0.947624 | − | 0.319387i | \(-0.896523\pi\) | ||
0.947624 | − | 0.319387i | \(-0.103477\pi\) | |||||||
\(152\) | −25.5976 | − | 44.3363i | −2.07624 | − | 3.59615i | ||||
\(153\) | −4.78511 | + | 10.6616i | −0.386853 | + | 0.861938i | ||||
\(154\) | 10.2661 | − | 17.7815i | 0.827268 | − | 1.43287i | ||||
\(155\) | −18.7249 | − | 10.8108i | −1.50402 | − | 0.868347i | ||||
\(156\) | −7.23052 | + | 7.23052i | −0.578905 | + | 0.578905i | ||||
\(157\) | −5.91967 | + | 10.2532i | −0.472441 | + | 0.818291i | −0.999503 | − | 0.0315355i | \(-0.989960\pi\) |
0.527062 | + | 0.849827i | \(0.323294\pi\) | |||||||
\(158\) | 1.33935 | + | 4.99853i | 0.106553 | + | 0.397662i | ||||
\(159\) | −3.91837 | + | 1.04992i | −0.310747 | + | 0.0832644i | ||||
\(160\) | 14.6759 | − | 54.7714i | 1.16024 | − | 4.33006i | ||||
\(161\) | − | 1.40065i | − | 0.110386i | ||||||
\(162\) | 17.4835 | − | 10.0941i | 1.37364 | − | 0.793069i | ||||
\(163\) | −4.75975 | + | 1.27537i | −0.372812 | + | 0.0998948i | −0.440360 | − | 0.897821i | \(-0.645149\pi\) |
0.0675476 | + | 0.997716i | \(0.478483\pi\) | |||||||
\(164\) | −21.1515 | − | 21.1515i | −1.65166 | − | 1.65166i | ||||
\(165\) | 1.48446 | + | 5.54008i | 0.115565 | + | 0.431295i | ||||
\(166\) | 7.56036 | + | 13.0949i | 0.586797 | + | 1.01636i | ||||
\(167\) | 20.5945 | + | 5.51828i | 1.59365 | + | 0.427017i | 0.943117 | − | 0.332460i | \(-0.107879\pi\) |
0.650533 | + | 0.759478i | \(0.274545\pi\) | |||||||
\(168\) | 6.55083i | 0.505407i | ||||||||
\(169\) | −5.27790 | − | 9.14159i | −0.405992 | − | 0.703199i | ||||
\(170\) | −37.9181 | − | 6.12197i | −2.90818 | − | 0.469533i | ||||
\(171\) | 17.0552 | 1.30424 | ||||||||
\(172\) | −0.747404 | + | 33.9330i | −0.0569890 | + | 2.58737i | ||||
\(173\) | −10.7782 | + | 10.7782i | −0.819451 | + | 0.819451i | −0.986028 | − | 0.166577i | \(-0.946728\pi\) |
0.166577 | + | 0.986028i | \(0.446728\pi\) | |||||||
\(174\) | −10.6642 | −0.808454 | ||||||||
\(175\) | −12.9602 | − | 3.47268i | −0.979702 | − | 0.262510i | ||||
\(176\) | −35.6394 | − | 35.6394i | −2.68642 | − | 2.68642i | ||||
\(177\) | −1.35283 | + | 5.04885i | −0.101685 | + | 0.379495i | ||||
\(178\) | −2.58809 | + | 1.49424i | −0.193986 | + | 0.111998i | ||||
\(179\) | −21.2242 | − | 12.2538i | −1.58637 | − | 0.915891i | −0.993898 | − | 0.110300i | \(-0.964819\pi\) |
−0.592472 | − | 0.805591i | \(-0.701848\pi\) | |||||||
\(180\) | 36.0741 | + | 36.0741i | 2.68881 | + | 2.68881i | ||||
\(181\) | 20.3671 | − | 5.45734i | 1.51387 | − | 0.405641i | 0.596153 | − | 0.802871i | \(-0.296695\pi\) |
0.917719 | + | 0.397231i | \(0.130029\pi\) | |||||||
\(182\) | −23.7557 | − | 6.36531i | −1.76089 | − | 0.471828i | ||||
\(183\) | 2.00358 | 0.148109 | ||||||||
\(184\) | −6.08500 | − | 1.63047i | −0.448592 | − | 0.120200i | ||||
\(185\) | −29.4840 | − | 17.0226i | −2.16771 | − | 1.25153i | ||||
\(186\) | 3.38979 | − | 5.87129i | 0.248552 | − | 0.430504i | ||||
\(187\) | −10.5526 | + | 12.9519i | −0.771680 | + | 0.947138i | ||||
\(188\) | −8.51072 | −0.620708 | ||||||||
\(189\) | −3.89041 | − | 2.24613i | −0.282986 | − | 0.163382i | ||||
\(190\) | 14.5082 | + | 54.1454i | 1.05254 | + | 3.92812i | ||||
\(191\) | −8.71969 | − | 15.1029i | −0.630934 | − | 1.09281i | −0.987361 | − | 0.158487i | \(-0.949338\pi\) |
0.356427 | − | 0.934323i | \(-0.383995\pi\) | |||||||
\(192\) | 7.39249 | + | 1.98081i | 0.533507 | + | 0.142953i | ||||
\(193\) | −5.25388 | − | 5.25388i | −0.378182 | − | 0.378182i | 0.492264 | − | 0.870446i | \(-0.336170\pi\) |
−0.870446 | + | 0.492264i | \(0.836170\pi\) | |||||||
\(194\) | 18.4057 | + | 18.4057i | 1.32145 | + | 1.32145i | ||||
\(195\) | 5.94963 | − | 3.43502i | 0.426062 | − | 0.245987i | ||||
\(196\) | 15.3383 | − | 8.85557i | 1.09559 | − | 0.632541i | ||||
\(197\) | 10.0608 | − | 2.69580i | 0.716806 | − | 0.192068i | 0.118060 | − | 0.993006i | \(-0.462333\pi\) |
0.598746 | + | 0.800939i | \(0.295666\pi\) | |||||||
\(198\) | 29.7163 | − | 7.96247i | 2.11185 | − | 0.565868i | ||||
\(199\) | −2.99100 | + | 2.99100i | −0.212027 | + | 0.212027i | −0.805128 | − | 0.593101i | \(-0.797903\pi\) |
0.593101 | + | 0.805128i | \(0.297903\pi\) | |||||||
\(200\) | −30.1736 | + | 52.2622i | −2.13359 | + | 3.69549i | ||||
\(201\) | −0.219550 | − | 0.819373i | −0.0154859 | − | 0.0577941i | ||||
\(202\) | −12.4643 | − | 7.19628i | −0.876987 | − | 0.506328i | ||||
\(203\) | −9.25018 | − | 16.0218i | −0.649236 | − | 1.12451i | ||||
\(204\) | 1.38458 | − | 8.57575i | 0.0969397 | − | 0.600423i | ||||
\(205\) | 10.0485 | + | 17.4045i | 0.701819 | + | 1.21559i | ||||
\(206\) | 21.6026 | + | 12.4723i | 1.50512 | + | 0.868983i | ||||
\(207\) | 1.48398 | − | 1.48398i | 0.103144 | − | 0.103144i | ||||
\(208\) | −30.1858 | + | 52.2833i | −2.09301 | + | 3.62520i | ||||
\(209\) | 23.5512 | + | 6.31053i | 1.62907 | + | 0.436509i | ||||
\(210\) | 1.85644 | − | 6.92833i | 0.128107 | − | 0.478100i | ||||
\(211\) | 7.78782 | + | 7.78782i | 0.536135 | + | 0.536135i | 0.922392 | − | 0.386256i | \(-0.126232\pi\) |
−0.386256 | + | 0.922392i | \(0.626232\pi\) | |||||||
\(212\) | −44.6729 | + | 25.7919i | −3.06815 | + | 1.77140i | ||||
\(213\) | 1.49581i | 0.102491i | ||||||||
\(214\) | −16.4720 | − | 16.4720i | −1.12600 | − | 1.12600i | ||||
\(215\) | 6.38560 | − | 21.8913i | 0.435495 | − | 1.49297i | ||||
\(216\) | −14.2869 | + | 14.2869i | −0.972100 | + | 0.972100i | ||||
\(217\) | 11.7613 | 0.798406 | ||||||||
\(218\) | −27.0533 | − | 7.24892i | −1.83228 | − | 0.490959i | ||||
\(219\) | 2.42140i | 0.163623i | ||||||||
\(220\) | 36.4666 | + | 63.1620i | 2.45858 | + | 4.25838i | ||||
\(221\) | 18.2567 | + | 8.19394i | 1.22808 | + | 0.551184i | ||||
\(222\) | 5.33753 | − | 9.24487i | 0.358231 | − | 0.620475i | ||||
\(223\) | 0.797662i | 0.0534154i | 0.999643 | + | 0.0267077i | \(0.00850234\pi\) | ||||
−0.999643 | + | 0.0267077i | \(0.991498\pi\) | |||||||
\(224\) | 7.98308 | + | 29.7933i | 0.533392 | + | 1.99065i | ||||
\(225\) | −10.0520 | − | 17.4106i | −0.670135 | − | 1.16071i | ||||
\(226\) | −16.0265 | + | 16.0265i | −1.06606 | + | 1.06606i | ||||
\(227\) | −1.08469 | + | 4.04811i | −0.0719932 | + | 0.268682i | −0.992535 | − | 0.121962i | \(-0.961081\pi\) |
0.920542 | + | 0.390645i | \(0.127748\pi\) | |||||||
\(228\) | −12.2458 | + | 3.28125i | −0.810998 | + | 0.217306i | ||||
\(229\) | 8.50479 | + | 4.91025i | 0.562013 | + | 0.324478i | 0.753953 | − | 0.656928i | \(-0.228145\pi\) |
−0.191940 | + | 0.981407i | \(0.561478\pi\) | |||||||
\(230\) | 5.97360 | + | 3.44886i | 0.393887 | + | 0.227411i | ||||
\(231\) | −2.20608 | − | 2.20608i | −0.145150 | − | 0.145150i | ||||
\(232\) | −80.3733 | + | 21.5360i | −5.27677 | + | 1.41391i | ||||
\(233\) | −2.00419 | − | 7.47972i | −0.131299 | − | 0.490013i | 0.868687 | − | 0.495361i | \(-0.164964\pi\) |
−0.999986 | + | 0.00534829i | \(0.998298\pi\) | |||||||
\(234\) | −18.4250 | − | 31.9131i | −1.20448 | − | 2.08622i | ||||
\(235\) | 5.52313 | + | 1.47992i | 0.360289 | + | 0.0965391i | ||||
\(236\) | 66.4662i | 4.32658i | ||||||||
\(237\) | 0.786320 | 0.0510769 | ||||||||
\(238\) | 19.5275 | − | 7.42897i | 1.26578 | − | 0.481548i | ||||
\(239\) | −8.88955 | − | 15.3971i | −0.575017 | − | 0.995959i | −0.996040 | − | 0.0889087i | \(-0.971662\pi\) |
0.421023 | − | 0.907050i | \(-0.361671\pi\) | |||||||
\(240\) | −15.2484 | − | 8.80367i | −0.984281 | − | 0.568275i | ||||
\(241\) | 2.21266 | + | 8.25776i | 0.142530 | + | 0.531929i | 0.999853 | + | 0.0171500i | \(0.00545929\pi\) |
−0.857323 | + | 0.514779i | \(0.827874\pi\) | |||||||
\(242\) | 14.5142 | 0.933007 | ||||||||
\(243\) | −2.63790 | − | 9.84479i | −0.169222 | − | 0.631544i | ||||
\(244\) | 24.6095 | − | 6.59408i | 1.57546 | − | 0.422143i | ||||
\(245\) | −11.4938 | + | 3.07976i | −0.734314 | + | 0.196759i | ||||
\(246\) | −5.45728 | + | 3.15076i | −0.347944 | + | 0.200885i | ||||
\(247\) | − | 29.2050i | − | 1.85827i | ||||||
\(248\) | 13.6911 | − | 51.0958i | 0.869384 | − | 3.24459i | ||||
\(249\) | 2.21930 | − | 0.594660i | 0.140643 | − | 0.0376851i | ||||
\(250\) | 13.7874 | − | 13.7874i | 0.871995 | − | 0.871995i | ||||
\(251\) | 0.458682 | − | 0.794460i | 0.0289517 | − | 0.0501459i | −0.851187 | − | 0.524863i | \(-0.824116\pi\) |
0.880138 | + | 0.474717i | \(0.157450\pi\) | |||||||
\(252\) | −26.8052 | − | 7.18243i | −1.68857 | − | 0.452451i | ||||
\(253\) | 2.59829 | − | 1.50013i | 0.163353 | − | 0.0943121i | ||||
\(254\) | 20.6718 | 1.29707 | ||||||||
\(255\) | −2.38976 | + | 5.32457i | −0.149653 | + | 0.333437i | ||||
\(256\) | 9.95950 | 0.622469 | ||||||||
\(257\) | − | 24.8188i | − | 1.54816i | −0.633091 | − | 0.774078i | \(-0.718214\pi\) | ||
0.633091 | − | 0.774078i | \(-0.281786\pi\) | |||||||
\(258\) | 6.86412 | + | 2.00224i | 0.427341 | + | 0.124654i | ||||
\(259\) | 18.5191 | 1.15072 | ||||||||
\(260\) | 61.7727 | − | 61.7727i | 3.83098 | − | 3.83098i | ||||
\(261\) | 7.17450 | − | 26.7756i | 0.444090 | − | 1.65737i | ||||
\(262\) | 10.7298 | + | 10.7298i | 0.662889 | + | 0.662889i | ||||
\(263\) | −21.7530 | + | 12.5591i | −1.34135 | + | 0.774426i | −0.987005 | − | 0.160690i | \(-0.948628\pi\) |
−0.354341 | + | 0.935116i | \(0.615295\pi\) | |||||||
\(264\) | −12.1522 | + | 7.01609i | −0.747917 | + | 0.431810i | ||||
\(265\) | 33.4759 | − | 8.96984i | 2.05641 | − | 0.551013i | ||||
\(266\) | −21.5609 | − | 21.5609i | −1.32198 | − | 1.32198i | ||||
\(267\) | 0.117529 | + | 0.438625i | 0.00719267 | + | 0.0268434i | ||||
\(268\) | −5.39337 | − | 9.34159i | −0.329452 | − | 0.570628i | ||||
\(269\) | 3.21341 | − | 3.21341i | 0.195925 | − | 0.195925i | −0.602326 | − | 0.798250i | \(-0.705759\pi\) |
0.798250 | + | 0.602326i | \(0.205759\pi\) | |||||||
\(270\) | 19.1590 | − | 11.0614i | 1.16598 | − | 0.673177i | ||||
\(271\) | −1.35659 | + | 2.34969i | −0.0824071 | + | 0.142733i | −0.904283 | − | 0.426933i | \(-0.859594\pi\) |
0.821876 | + | 0.569666i | \(0.192927\pi\) | |||||||
\(272\) | −5.20836 | − | 51.0219i | −0.315803 | − | 3.09366i | ||||
\(273\) | −1.86850 | + | 3.23634i | −0.113087 | + | 0.195872i | ||||
\(274\) | 14.0849i | 0.850900i | ||||||||
\(275\) | −7.43865 | − | 27.7614i | −0.448568 | − | 1.67408i | ||||
\(276\) | −0.780011 | + | 1.35102i | −0.0469512 | + | 0.0813218i | ||||
\(277\) | −10.4029 | − | 2.78745i | −0.625049 | − | 0.167481i | −0.0676272 | − | 0.997711i | \(-0.521543\pi\) |
−0.557422 | + | 0.830229i | \(0.688210\pi\) | |||||||
\(278\) | −7.50937 | + | 28.0254i | −0.450382 | + | 1.68085i | ||||
\(279\) | 12.4610 | + | 12.4610i | 0.746021 | + | 0.746021i | ||||
\(280\) | − | 55.9659i | − | 3.34460i | ||||||
\(281\) | −13.4141 | + | 7.74466i | −0.800221 | + | 0.462008i | −0.843548 | − | 0.537053i | \(-0.819537\pi\) |
0.0433274 | + | 0.999061i | \(0.486204\pi\) | |||||||
\(282\) | −0.464036 | + | 1.73180i | −0.0276329 | + | 0.103127i | ||||
\(283\) | −11.1494 | + | 2.98748i | −0.662765 | + | 0.177587i | −0.574494 | − | 0.818509i | \(-0.694801\pi\) |
−0.0882715 | + | 0.996096i | \(0.528134\pi\) | |||||||
\(284\) | 4.92294 | + | 18.3727i | 0.292123 | + | 1.09022i | ||||
\(285\) | 8.51761 | 0.504540 | ||||||||
\(286\) | −13.6348 | − | 50.8857i | −0.806242 | − | 3.00894i | ||||
\(287\) | −9.46732 | − | 5.46596i | −0.558838 | − | 0.322646i | ||||
\(288\) | −23.1078 | + | 40.0239i | −1.36164 | + | 2.35843i | ||||
\(289\) | −16.6494 | + | 3.43495i | −0.979374 | + | 0.202056i | ||||
\(290\) | 91.1081 | 5.35005 | ||||||||
\(291\) | 3.42530 | − | 1.97760i | 0.200794 | − | 0.115929i | ||||
\(292\) | 7.96922 | + | 29.7415i | 0.466363 | + | 1.74049i | ||||
\(293\) | 12.5328 | 0.732174 | 0.366087 | − | 0.930581i | \(-0.380697\pi\) | ||||
0.366087 | + | 0.930581i | \(0.380697\pi\) | |||||||
\(294\) | −0.965676 | − | 3.60395i | −0.0563194 | − | 0.210187i | ||||
\(295\) | 11.5577 | − | 43.1340i | 0.672916 | − | 2.51136i | ||||
\(296\) | 21.5578 | − | 80.4549i | 1.25302 | − | 4.67634i | ||||
\(297\) | − | 9.62263i | − | 0.558362i | ||||||
\(298\) | 47.8908 | − | 27.6498i | 2.77424 | − | 1.60171i | ||||
\(299\) | −2.54114 | − | 2.54114i | −0.146958 | − | 0.146958i | ||||
\(300\) | 10.5671 | + | 10.5671i | 0.610093 | + | 0.610093i | ||||
\(301\) | 2.94582 | + | 12.0493i | 0.169794 | + | 0.694510i | ||||
\(302\) | −21.0270 | −1.20997 | ||||||||
\(303\) | −1.54641 | + | 1.54641i | −0.0888387 | + | 0.0888387i | ||||
\(304\) | −64.8219 | + | 37.4249i | −3.71779 | + | 2.14647i | ||||
\(305\) | −17.1172 | −0.980129 | ||||||||
\(306\) | 28.5603 | + | 12.8184i | 1.63268 | + | 0.732778i | ||||
\(307\) | 2.97141 | + | 5.14664i | 0.169587 | + | 0.293734i | 0.938275 | − | 0.345891i | \(-0.112423\pi\) |
−0.768687 | + | 0.639625i | \(0.779090\pi\) | |||||||
\(308\) | −34.3574 | − | 19.8362i | −1.95769 | − | 1.13028i | ||||
\(309\) | 2.68016 | − | 2.68016i | 0.152469 | − | 0.152469i | ||||
\(310\) | −28.9601 | + | 50.1604i | −1.64482 | + | 2.84892i | ||||
\(311\) | 9.48084 | + | 2.54038i | 0.537609 | + | 0.144052i | 0.517400 | − | 0.855744i | \(-0.326900\pi\) |
0.0202093 | + | 0.999796i | \(0.493567\pi\) | |||||||
\(312\) | 11.8849 | + | 11.8849i | 0.672852 | + | 0.672852i | ||||
\(313\) | −5.78173 | + | 21.5777i | −0.326803 | + | 1.21964i | 0.585684 | + | 0.810539i | \(0.300826\pi\) |
−0.912487 | + | 0.409105i | \(0.865841\pi\) | |||||||
\(314\) | 27.4662 | + | 15.8576i | 1.55001 | + | 0.894898i | ||||
\(315\) | 16.1466 | + | 9.32224i | 0.909757 | + | 0.525249i | ||||
\(316\) | 9.65818 | − | 2.58790i | 0.543315 | − | 0.145581i | ||||
\(317\) | −7.97063 | − | 7.97063i | −0.447675 | − | 0.447675i | 0.446906 | − | 0.894581i | \(-0.352526\pi\) |
−0.894581 | + | 0.446906i | \(0.852526\pi\) | |||||||
\(318\) | 2.81254 | + | 10.4965i | 0.157719 | + | 0.588617i | ||||
\(319\) | 19.8143 | − | 34.3194i | 1.10939 | − | 1.92152i | ||||
\(320\) | −63.1565 | − | 16.9227i | −3.53056 | − | 0.946010i | ||||
\(321\) | −3.06544 | + | 1.76983i | −0.171096 | + | 0.0987823i | ||||
\(322\) | −3.75206 | −0.209094 | ||||||||
\(323\) | 14.5230 | + | 20.1155i | 0.808082 | + | 1.11926i | ||||
\(324\) | −19.5039 | − | 33.7817i | −1.08355 | − | 1.87676i | ||||
\(325\) | −29.8137 | + | 17.2129i | −1.65376 | + | 0.954801i | ||||
\(326\) | 3.41647 | + | 12.7504i | 0.189221 | + | 0.706182i | ||||
\(327\) | −2.12788 | + | 3.68560i | −0.117672 | + | 0.203814i | ||||
\(328\) | −34.7672 | + | 34.7672i | −1.91970 | + | 1.91970i | ||||
\(329\) | −3.00434 | + | 0.805011i | −0.165635 | + | 0.0443817i | ||||
\(330\) | 14.8408 | − | 3.97658i | 0.816959 | − | 0.218904i | ||||
\(331\) | −4.19929 | − | 2.42446i | −0.230814 | − | 0.133261i | 0.380133 | − | 0.924932i | \(-0.375878\pi\) |
−0.610948 | + | 0.791671i | \(0.709211\pi\) | |||||||
\(332\) | 25.3021 | − | 14.6081i | 1.38863 | − | 0.801726i | ||||
\(333\) | 19.6210 | + | 19.6210i | 1.07522 | + | 1.07522i | ||||
\(334\) | 14.7824 | − | 55.1687i | 0.808857 | − | 3.01869i | ||||
\(335\) | 1.87569 | + | 7.00017i | 0.102480 | + | 0.382460i | ||||
\(336\) | 9.57764 | 0.522503 | ||||||||
\(337\) | −4.19476 | − | 15.6551i | −0.228503 | − | 0.852786i | −0.980971 | − | 0.194156i | \(-0.937803\pi\) |
0.752467 | − | 0.658630i | \(-0.228864\pi\) | |||||||
\(338\) | −24.4885 | + | 14.1385i | −1.33200 | + | 0.769031i | ||||
\(339\) | 1.72196 | + | 2.98252i | 0.0935240 | + | 0.161988i | ||||
\(340\) | −11.8289 | + | 73.2655i | −0.641511 | + | 3.97338i | ||||
\(341\) | 12.5966 | + | 21.8179i | 0.682143 | + | 1.18151i | ||||
\(342\) | − | 45.6874i | − | 2.47049i | ||||||
\(343\) | 13.9399 | − | 13.9399i | 0.752685 | − | 0.752685i | ||||
\(344\) | 55.7763 | + | 1.22852i | 3.00726 | + | 0.0662374i | ||||
\(345\) | 0.741124 | − | 0.741124i | 0.0399008 | − | 0.0399008i | ||||
\(346\) | 28.8727 | + | 28.8727i | 1.55221 | + | 1.55221i | ||||
\(347\) | 2.44287 | − | 9.11690i | 0.131140 | − | 0.489421i | −0.868844 | − | 0.495086i | \(-0.835137\pi\) |
0.999984 | + | 0.00566493i | \(0.00180321\pi\) | |||||||
\(348\) | 20.6055i | 1.10457i | ||||||||
\(349\) | 19.1352 | − | 11.0477i | 1.02428 | − | 0.591370i | 0.108941 | − | 0.994048i | \(-0.465254\pi\) |
0.915342 | + | 0.402678i | \(0.131921\pi\) | |||||||
\(350\) | −9.30264 | + | 34.7179i | −0.497247 | + | 1.85575i | ||||
\(351\) | −11.1333 | + | 2.98316i | −0.594252 | + | 0.159229i | ||||
\(352\) | −46.7184 | + | 46.7184i | −2.49010 | + | 2.49010i | ||||
\(353\) | −3.75456 | + | 6.50309i | −0.199835 | + | 0.346125i | −0.948475 | − | 0.316853i | \(-0.897374\pi\) |
0.748640 | + | 0.662977i | \(0.230707\pi\) | |||||||
\(354\) | 13.5249 | + | 3.62398i | 0.718839 | + | 0.192612i | ||||
\(355\) | − | 12.7792i | − | 0.678249i | ||||||
\(356\) | 2.88717 | + | 5.00072i | 0.153020 | + | 0.265038i | ||||
\(357\) | −0.322398 | − | 3.15826i | −0.0170631 | − | 0.167153i | ||||
\(358\) | −32.8255 | + | 56.8555i | −1.73488 | + | 3.00490i | ||||
\(359\) | −0.614303 | − | 0.354668i | −0.0324217 | − | 0.0187187i | 0.483702 | − | 0.875233i | \(-0.339292\pi\) |
−0.516123 | + | 0.856514i | \(0.672625\pi\) | |||||||
\(360\) | 59.2957 | − | 59.2957i | 3.12516 | − | 3.12516i | ||||
\(361\) | 8.60444 | − | 14.9033i | 0.452865 | − | 0.784386i | ||||
\(362\) | −14.6191 | − | 54.5594i | −0.768365 | − | 2.86758i | ||||
\(363\) | 0.570807 | − | 2.13028i | 0.0299596 | − | 0.111811i | ||||
\(364\) | −12.2991 | + | 45.9008i | −0.644647 | + | 2.40585i | ||||
\(365\) | − | 20.6868i | − | 1.08280i | ||||||
\(366\) | − | 5.36719i | − | 0.280548i | ||||||
\(367\) | −5.59851 | + | 20.8939i | −0.292240 | + | 1.09065i | 0.651145 | + | 0.758953i | \(0.274289\pi\) |
−0.943385 | + | 0.331700i | \(0.892378\pi\) | |||||||
\(368\) | −2.38383 | + | 8.89657i | −0.124266 | + | 0.463766i | ||||
\(369\) | −4.23943 | − | 15.8218i | −0.220696 | − | 0.823649i | ||||
\(370\) | −45.6002 | + | 78.9819i | −2.37064 | + | 4.10608i | ||||
\(371\) | −13.3302 | + | 13.3302i | −0.692072 | + | 0.692072i | ||||
\(372\) | −11.3445 | − | 6.54977i | −0.588187 | − | 0.339590i | ||||
\(373\) | 4.17104 | − | 7.22445i | 0.215968 | − | 0.374068i | −0.737603 | − | 0.675234i | \(-0.764043\pi\) |
0.953572 | + | 0.301166i | \(0.0973759\pi\) | |||||||
\(374\) | 34.6957 | + | 28.2683i | 1.79407 | + | 1.46172i | ||||
\(375\) | −1.48139 | − | 2.56584i | −0.0764986 | − | 0.132500i | ||||
\(376\) | 13.9892i | 0.721439i | ||||||||
\(377\) | −45.8500 | − | 12.2855i | −2.36140 | − | 0.632735i | ||||
\(378\) | −6.01694 | + | 10.4217i | −0.309478 | + | 0.536032i | ||||
\(379\) | 1.23823 | − | 1.23823i | 0.0636038 | − | 0.0636038i | −0.674589 | − | 0.738193i | \(-0.735679\pi\) |
0.738193 | + | 0.674589i | \(0.235679\pi\) | |||||||
\(380\) | 104.620 | − | 28.0328i | 5.36688 | − | 1.43805i | ||||
\(381\) | 0.812973 | − | 3.03406i | 0.0416498 | − | 0.155439i | ||||
\(382\) | −40.4578 | + | 23.3583i | −2.07000 | + | 1.19512i | ||||
\(383\) | 2.26025i | 0.115493i | 0.998331 | + | 0.0577467i | \(0.0183916\pi\) | ||||
−0.998331 | + | 0.0577467i | \(0.981608\pi\) | |||||||
\(384\) | 1.87056 | − | 6.98103i | 0.0954566 | − | 0.356249i | ||||
\(385\) | 18.8473 | + | 18.8473i | 0.960548 | + | 0.960548i | ||||
\(386\) | −14.0741 | + | 14.0741i | −0.716354 | + | 0.716354i | ||||
\(387\) | −9.64511 | + | 15.8873i | −0.490288 | + | 0.807596i | ||||
\(388\) | 35.5635 | − | 35.5635i | 1.80546 | − | 1.80546i | ||||
\(389\) | 19.5662i | 0.992047i | 0.868309 | + | 0.496023i | \(0.165207\pi\) | ||||
−0.868309 | + | 0.496023i | \(0.834793\pi\) | |||||||
\(390\) | −9.20175 | − | 15.9379i | −0.465949 | − | 0.807047i | ||||
\(391\) | 3.01392 | + | 0.486605i | 0.152421 | + | 0.0246087i | ||||
\(392\) | −14.5561 | − | 25.2118i | −0.735192 | − | 1.27339i | ||||
\(393\) | 1.99681 | − | 1.15286i | 0.100726 | − | 0.0581541i | ||||
\(394\) | −7.22151 | − | 26.9511i | −0.363815 | − | 1.35777i | ||||
\(395\) | −6.71779 | −0.338008 | ||||||||
\(396\) | −15.3851 | − | 57.4180i | −0.773131 | − | 2.88536i | ||||
\(397\) | 1.76896 | − | 6.60185i | 0.0887815 | − | 0.331337i | −0.907222 | − | 0.420652i | \(-0.861801\pi\) |
0.996003 | + | 0.0893152i | \(0.0284679\pi\) | |||||||
\(398\) | 8.01231 | + | 8.01231i | 0.401621 | + | 0.401621i | ||||
\(399\) | −4.01248 | + | 2.31661i | −0.200875 | + | 0.115975i | ||||
\(400\) | 76.4100 | + | 44.1153i | 3.82050 | + | 2.20577i | ||||
\(401\) | 21.0891 | − | 5.65081i | 1.05314 | − | 0.282188i | 0.309591 | − | 0.950870i | \(-0.399808\pi\) |
0.743548 | + | 0.668682i | \(0.233141\pi\) | |||||||
\(402\) | −2.19494 | + | 0.588132i | −0.109474 | + | 0.0293334i | ||||
\(403\) | 21.3380 | − | 21.3380i | 1.06292 | − | 1.06292i | ||||
\(404\) | −13.9047 | + | 24.0836i | −0.691784 | + | 1.19820i | ||||
\(405\) | 6.78301 | + | 25.3145i | 0.337050 | + | 1.25789i | ||||
\(406\) | −42.9192 | + | 24.7794i | −2.13005 | + | 1.22978i | ||||
\(407\) | 19.8344 | + | 34.3542i | 0.983156 | + | 1.70288i | ||||
\(408\) | −14.0961 | − | 2.27585i | −0.697862 | − | 0.112671i | ||||
\(409\) | −8.19464 | −0.405199 | −0.202600 | − | 0.979262i | \(-0.564939\pi\) | ||||
−0.202600 | + | 0.979262i | \(0.564939\pi\) | |||||||
\(410\) | 46.6234 | − | 26.9180i | 2.30256 | − | 1.32939i | ||||
\(411\) | 2.06727 | + | 0.553924i | 0.101971 | + | 0.0273231i | ||||
\(412\) | 24.0989 | − | 41.7406i | 1.18727 | − | 2.05641i | ||||
\(413\) | 6.28690 | + | 23.4630i | 0.309358 | + | 1.15454i | ||||
\(414\) | −3.97530 | − | 3.97530i | −0.195375 | − | 0.195375i | ||||
\(415\) | −18.9602 | + | 5.08038i | −0.930721 | + | 0.249386i | ||||
\(416\) | 68.5363 | + | 39.5695i | 3.36027 | + | 1.94005i | ||||
\(417\) | 3.81802 | + | 2.20434i | 0.186969 | + | 0.107947i | ||||
\(418\) | 16.9047 | − | 63.0891i | 0.826835 | − | 3.08579i | ||||
\(419\) | 5.98302 | + | 5.98302i | 0.292290 | + | 0.292290i | 0.837984 | − | 0.545694i | \(-0.183734\pi\) |
−0.545694 | + | 0.837984i | \(0.683734\pi\) | |||||||
\(420\) | −13.3869 | − | 3.58702i | −0.653216 | − | 0.175029i | ||||
\(421\) | 8.64064 | − | 14.9660i | 0.421119 | − | 0.729400i | −0.574930 | − | 0.818202i | \(-0.694971\pi\) |
0.996049 | + | 0.0888029i | \(0.0283041\pi\) | |||||||
\(422\) | 20.8620 | − | 20.8620i | 1.01555 | − | 1.01555i | ||||
\(423\) | −4.03600 | − | 2.33019i | −0.196237 | − | 0.113298i | ||||
\(424\) | 42.3946 | + | 73.4297i | 2.05887 | + | 3.56606i | ||||
\(425\) | 11.9751 | − | 26.6815i | 0.580879 | − | 1.29424i | ||||
\(426\) | 4.00698 | 0.194139 | ||||||||
\(427\) | 8.06359 | − | 4.65551i | 0.390224 | − | 0.225296i | ||||
\(428\) | −31.8272 | + | 31.8272i | −1.53843 | + | 1.53843i | ||||
\(429\) | −8.00484 | −0.386477 | ||||||||
\(430\) | −58.6424 | − | 17.1058i | −2.82799 | − | 0.824914i | ||||
\(431\) | −12.5309 | − | 12.5309i | −0.603593 | − | 0.603593i | 0.337671 | − | 0.941264i | \(-0.390361\pi\) |
−0.941264 | + | 0.337671i | \(0.890361\pi\) | |||||||
\(432\) | 20.8882 | + | 20.8882i | 1.00498 | + | 1.00498i | ||||
\(433\) | −21.3451 | + | 12.3236i | −1.02578 | + | 0.592234i | −0.915773 | − | 0.401696i | \(-0.868421\pi\) |
−0.110007 | + | 0.993931i | \(0.535087\pi\) | |||||||
\(434\) | − | 31.5061i | − | 1.51234i | ||||||
\(435\) | 3.58306 | − | 13.3721i | 0.171794 | − | 0.641145i | ||||
\(436\) | −14.0064 | + | 52.2725i | −0.670784 | + | 2.50340i | ||||
\(437\) | −1.15319 | − | 4.30375i | −0.0551643 | − | 0.205876i | ||||
\(438\) | 6.48647 | 0.309935 | ||||||||
\(439\) | 5.09111 | + | 19.0003i | 0.242985 | + | 0.906833i | 0.974385 | + | 0.224885i | \(0.0722005\pi\) |
−0.731400 | + | 0.681949i | \(0.761133\pi\) | |||||||
\(440\) | 103.820 | − | 59.9407i | 4.94944 | − | 2.85756i | ||||
\(441\) | 9.69841 | 0.461829 | ||||||||
\(442\) | 21.9500 | − | 48.9062i | 1.04405 | − | 2.32623i | ||||
\(443\) | −8.23190 | + | 14.2581i | −0.391110 | + | 0.677422i | −0.992596 | − | 0.121461i | \(-0.961242\pi\) |
0.601487 | + | 0.798883i | \(0.294575\pi\) | |||||||
\(444\) | −17.8630 | − | 10.3132i | −0.847739 | − | 0.489442i | ||||
\(445\) | −1.00409 | − | 3.74732i | −0.0475985 | − | 0.177640i | ||||
\(446\) | 2.13678 | 0.101180 | ||||||||
\(447\) | −2.17480 | − | 8.11645i | −0.102864 | − | 0.383895i | ||||
\(448\) | 34.3544 | − | 9.20524i | 1.62309 | − | 0.434907i | ||||
\(449\) | −1.27121 | + | 4.74424i | −0.0599923 | + | 0.223894i | −0.989413 | − | 0.145128i | \(-0.953641\pi\) |
0.929421 | + | 0.369022i | \(0.120307\pi\) | |||||||
\(450\) | −46.6397 | + | 26.9274i | −2.19862 | + | 1.26937i | ||||
\(451\) | − | 23.4167i | − | 1.10265i | ||||||
\(452\) | 30.9664 | + | 30.9664i | 1.45654 | + | 1.45654i | ||||
\(453\) | −0.826939 | + | 3.08618i | −0.0388530 | + | 0.145001i | ||||
\(454\) | 10.8441 | + | 2.90566i | 0.508938 | + | 0.136370i | ||||
\(455\) | 15.9632 | − | 27.6491i | 0.748368 | − | 1.29621i | ||||
\(456\) | 5.39345 | + | 20.1286i | 0.252571 | + | 0.942609i | ||||
\(457\) | 2.77422i | 0.129773i | 0.997893 | + | 0.0648863i | \(0.0206685\pi\) | ||||
−0.997893 | + | 0.0648863i | \(0.979332\pi\) | |||||||
\(458\) | 13.1536 | − | 22.7827i | 0.614627 | − | 1.06457i | ||||
\(459\) | 6.18482 | − | 7.59108i | 0.288683 | − | 0.354321i | ||||
\(460\) | 6.66389 | − | 11.5422i | 0.310706 | − | 0.538158i | ||||
\(461\) | −27.4412 | + | 15.8432i | −1.27806 | + | 0.737889i | −0.976492 | − | 0.215555i | \(-0.930844\pi\) |
−0.301570 | + | 0.953444i | \(0.597511\pi\) | |||||||
\(462\) | −5.90967 | + | 5.90967i | −0.274943 | + | 0.274943i | ||||
\(463\) | 20.6613 | + | 35.7864i | 0.960212 | + | 1.66314i | 0.721962 | + | 0.691932i | \(0.243240\pi\) |
0.238250 | + | 0.971204i | \(0.423426\pi\) | |||||||
\(464\) | 31.4867 | + | 117.510i | 1.46173 | + | 5.45526i | ||||
\(465\) | 6.22323 | + | 6.22323i | 0.288595 | + | 0.288595i | ||||
\(466\) | −20.0367 | + | 5.36882i | −0.928183 | + | 0.248706i | ||||
\(467\) | −4.15207 | + | 2.39720i | −0.192135 | + | 0.110929i | −0.592982 | − | 0.805216i | \(-0.702049\pi\) |
0.400847 | + | 0.916145i | \(0.368716\pi\) | |||||||
\(468\) | −61.6626 | + | 35.6009i | −2.85035 | + | 1.64565i | ||||
\(469\) | −2.78750 | − | 2.78750i | −0.128715 | − | 0.128715i | ||||
\(470\) | 3.96441 | − | 14.7954i | 0.182865 | − | 0.682460i | ||||
\(471\) | 3.40764 | − | 3.40764i | 0.157016 | − | 0.157016i | ||||
\(472\) | 109.252 | 5.02871 | ||||||||
\(473\) | −19.1972 | + | 18.3698i | −0.882688 | + | 0.844642i | ||||
\(474\) | − | 2.10640i | − | 0.0967500i | ||||||
\(475\) | −42.6819 | −1.95838 | ||||||||
\(476\) | −14.3543 | − | 37.7311i | −0.657927 | − | 1.72940i | ||||
\(477\) | −28.2467 | −1.29333 | ||||||||
\(478\) | −41.2460 | + | 23.8134i | −1.88655 | + | 1.08920i | ||||
\(479\) | 38.8732 | + | 10.4160i | 1.77616 | + | 0.475921i | 0.989875 | − | 0.141943i | \(-0.0453350\pi\) |
0.786285 | + | 0.617864i | \(0.212002\pi\) | |||||||
\(480\) | −11.5404 | + | 19.9886i | −0.526746 | + | 0.912350i | ||||
\(481\) | 33.5986 | − | 33.5986i | 1.53196 | − | 1.53196i | ||||
\(482\) | 22.1209 | − | 5.92728i | 1.00758 | − | 0.269980i | ||||
\(483\) | −0.147559 | + | 0.550699i | −0.00671418 | + | 0.0250577i | ||||
\(484\) | − | 28.0444i | − | 1.27474i | ||||||
\(485\) | −29.2634 | + | 16.8952i | −1.32878 | + | 0.767174i | ||||
\(486\) | −26.3723 | + | 7.06643i | −1.19627 | + | 0.320540i | ||||
\(487\) | 28.4218 | − | 7.61560i | 1.28792 | − | 0.345096i | 0.451047 | − | 0.892500i | \(-0.351051\pi\) |
0.836868 | + | 0.547404i | \(0.184384\pi\) | |||||||
\(488\) | −10.8388 | − | 40.4510i | −0.490650 | − | 1.83113i | ||||
\(489\) | 2.00577 | 0.0907043 | ||||||||
\(490\) | 8.25009 | + | 30.7897i | 0.372701 | + | 1.39094i | ||||
\(491\) | 13.4690 | + | 7.77630i | 0.607845 | + | 0.350940i | 0.772122 | − | 0.635475i | \(-0.219196\pi\) |
−0.164276 | + | 0.986414i | \(0.552529\pi\) | |||||||
\(492\) | 6.08792 | + | 10.5446i | 0.274465 | + | 0.475387i | ||||
\(493\) | 37.6894 | − | 14.3384i | 1.69745 | − | 0.645770i | ||||
\(494\) | −78.2344 | −3.51993 | ||||||||
\(495\) | 39.9373i | 1.79505i | ||||||||
\(496\) | −74.7047 | − | 20.0171i | −3.35434 | − | 0.898792i | ||||
\(497\) | 3.47566 | + | 6.02003i | 0.155905 | + | 0.270035i | ||||
\(498\) | −1.59298 | − | 5.94508i | −0.0713831 | − | 0.266405i | ||||
\(499\) | −1.64081 | + | 0.439655i | −0.0734530 | + | 0.0196817i | −0.295358 | − | 0.955387i | \(-0.595439\pi\) |
0.221905 | + | 0.975068i | \(0.428772\pi\) | |||||||
\(500\) | −26.6401 | − | 26.6401i | −1.19138 | − | 1.19138i | ||||
\(501\) | −7.51588 | − | 4.33930i | −0.335785 | − | 0.193865i | ||||
\(502\) | −2.12820 | − | 1.22872i | −0.0949864 | − | 0.0548404i | ||||
\(503\) | −28.2847 | + | 7.57887i | −1.26115 | + | 0.337925i | −0.826636 | − | 0.562737i | \(-0.809748\pi\) |
−0.434519 | + | 0.900663i | \(0.643082\pi\) | |||||||
\(504\) | −11.8059 | + | 44.0602i | −0.525876 | + | 1.96260i | ||||
\(505\) | 13.2115 | − | 13.2115i | 0.587902 | − | 0.587902i | ||||
\(506\) | −4.01854 | − | 6.96032i | −0.178646 | − | 0.309424i | ||||
\(507\) | 1.11206 | + | 4.15027i | 0.0493884 | + | 0.184320i | ||||
\(508\) | − | 39.9422i | − | 1.77215i | ||||||
\(509\) | 5.49550 | − | 9.51848i | 0.243584 | − | 0.421899i | −0.718149 | − | 0.695889i | \(-0.755010\pi\) |
0.961732 | + | 0.273990i | \(0.0883437\pi\) | |||||||
\(510\) | 14.2635 | + | 6.40170i | 0.631597 | + | 0.283472i | ||||
\(511\) | 5.62638 | + | 9.74517i | 0.248896 | + | 0.431101i | ||||
\(512\) | 8.83151i | 0.390301i | ||||||||
\(513\) | −13.8033 | − | 3.69858i | −0.609430 | − | 0.163296i | ||||
\(514\) | −66.4848 | −2.93252 | ||||||||
\(515\) | −22.8975 | + | 22.8975i | −1.00898 | + | 1.00898i | ||||
\(516\) | 3.86873 | − | 13.2629i | 0.170312 | − | 0.583865i | ||||
\(517\) | −4.71107 | − | 4.71107i | −0.207193 | − | 0.207193i | ||||
\(518\) | − | 49.6092i | − | 2.17970i | ||||||
\(519\) | 5.37320 | − | 3.10222i | 0.235857 | − | 0.136172i | ||||
\(520\) | −101.537 | − | 101.537i | −4.45269 | − | 4.45269i | ||||
\(521\) | −1.87510 | + | 6.99799i | −0.0821498 | + | 0.306587i | −0.994759 | − | 0.102245i | \(-0.967397\pi\) |
0.912609 | + | 0.408833i | \(0.134064\pi\) | |||||||
\(522\) | −71.7266 | − | 19.2191i | −3.13939 | − | 0.841196i | ||||
\(523\) | −11.5277 | + | 19.9665i | −0.504069 | + | 0.873074i | 0.495920 | + | 0.868368i | \(0.334831\pi\) |
−0.999989 | + | 0.00470531i | \(0.998502\pi\) | |||||||
\(524\) | 20.7321 | − | 20.7321i | 0.905688 | − | 0.905688i | ||||
\(525\) | 4.72978 | + | 2.73074i | 0.206425 | + | 0.119179i | ||||
\(526\) | 33.6433 | + | 58.2720i | 1.46692 | + | 2.54078i | ||||
\(527\) | −4.08603 | + | 25.3079i | −0.177990 | + | 1.10243i | ||||
\(528\) | 10.2579 | + | 17.7672i | 0.446417 | + | 0.773217i | ||||
\(529\) | 19.4438 | + | 11.2259i | 0.845381 | + | 0.488081i | ||||
\(530\) | −24.0285 | − | 89.6754i | −1.04373 | − | 3.89525i | ||||
\(531\) | −18.1981 | + | 31.5200i | −0.789728 | + | 1.36785i | ||||
\(532\) | −41.6601 | + | 41.6601i | −1.80619 | + | 1.80619i | ||||
\(533\) | −27.0929 | + | 7.25953i | −1.17352 | + | 0.314445i | ||||
\(534\) | 1.17499 | − | 0.314838i | 0.0508468 | − | 0.0136244i | ||||
\(535\) | 26.1890 | − | 15.1202i | 1.13225 | − | 0.653705i | ||||
\(536\) | −15.3549 | + | 8.86517i | −0.663232 | + | 0.382917i | ||||
\(537\) | 7.05386 | + | 7.05386i | 0.304397 | + | 0.304397i | ||||
\(538\) | −8.60809 | − | 8.60809i | −0.371121 | − | 0.371121i | ||||
\(539\) | 13.3924 | + | 3.58848i | 0.576852 | + | 0.154567i | ||||
\(540\) | −21.3729 | − | 37.0190i | −0.919745 | − | 1.59304i | ||||
\(541\) | 3.11154 | + | 11.6124i | 0.133776 | + | 0.499257i | 1.00000 | 0.000397941i | \(-0.000126669\pi\) | |
−0.866224 | + | 0.499655i | \(0.833460\pi\) | |||||||
\(542\) | 6.29435 | + | 3.63405i | 0.270366 | + | 0.156096i | ||||
\(543\) | −8.58274 | −0.368321 | ||||||||
\(544\) | −66.8828 | + | 6.82745i | −2.86758 | + | 0.292724i | ||||
\(545\) | 18.1792 | − | 31.4873i | 0.778711 | − | 1.34877i | ||||
\(546\) | 8.66953 | + | 5.00536i | 0.371022 | + | 0.214209i | ||||
\(547\) | 15.9856 | + | 4.28332i | 0.683494 | + | 0.183142i | 0.583826 | − | 0.811879i | \(-0.301555\pi\) |
0.0996685 | + | 0.995021i | \(0.468222\pi\) | |||||||
\(548\) | 27.2149 | 1.16256 | ||||||||
\(549\) | 13.4758 | + | 3.61084i | 0.575135 | + | 0.154107i | ||||
\(550\) | −74.3674 | + | 19.9267i | −3.17104 | + | 0.849677i | ||||
\(551\) | −41.6140 | − | 41.6140i | −1.77282 | − | 1.77282i | ||||
\(552\) | 2.22069 | + | 1.28212i | 0.0945190 | + | 0.0545706i | ||||
\(553\) | 3.16462 | − | 1.82709i | 0.134573 | − | 0.0776959i | ||||
\(554\) | −7.46703 | + | 27.8673i | −0.317244 | + | 1.18397i | ||||
\(555\) | 9.79902 | + | 9.79902i | 0.415945 | + | 0.415945i | ||||
\(556\) | 54.1507 | + | 14.5096i | 2.29650 | + | 0.615346i | ||||
\(557\) | −11.5188 | −0.488069 | −0.244034 | − | 0.969767i | \(-0.578471\pi\) | ||||
−0.244034 | + | 0.969767i | \(0.578471\pi\) | |||||||
\(558\) | 33.3806 | − | 33.3806i | 1.41311 | − | 1.41311i | ||||
\(559\) | 27.2051 | + | 16.5161i | 1.15065 | + | 0.698557i | ||||
\(560\) | −81.8249 | −3.45773 | ||||||||
\(561\) | 5.51349 | − | 3.98064i | 0.232780 | − | 0.168063i | ||||
\(562\) | 20.7464 | + | 35.9339i | 0.875136 | + | 1.51578i | ||||
\(563\) | − | 1.57633i | − | 0.0664344i | −0.999448 | − | 0.0332172i | \(-0.989425\pi\) | ||
0.999448 | − | 0.0332172i | \(-0.0105753\pi\) | |||||||
\(564\) | 3.34620 | + | 0.896611i | 0.140900 | + | 0.0377542i | ||||
\(565\) | −14.7113 | − | 25.4807i | −0.618908 | − | 1.07198i | ||||
\(566\) | 8.00288 | + | 29.8672i | 0.336386 | + | 1.25541i | ||||
\(567\) | −10.0804 | − | 10.0804i | −0.423335 | − | 0.423335i | ||||
\(568\) | 30.1995 | − | 8.09193i | 1.26714 | − | 0.339530i | ||||
\(569\) | 31.7979 | − | 18.3585i | 1.33304 | − | 0.769630i | 0.347274 | − | 0.937764i | \(-0.387107\pi\) |
0.985764 | + | 0.168134i | \(0.0537742\pi\) | |||||||
\(570\) | − | 22.8170i | − | 0.955700i | ||||||
\(571\) | −5.84447 | + | 21.8119i | −0.244583 | + | 0.912798i | 0.729009 | + | 0.684504i | \(0.239981\pi\) |
−0.973592 | + | 0.228294i | \(0.926685\pi\) | |||||||
\(572\) | −98.3216 | + | 26.3452i | −4.11103 | + | 1.10155i | ||||
\(573\) | 1.83725 | + | 6.85672i | 0.0767523 | + | 0.286444i | ||||
\(574\) | −14.6422 | + | 25.3611i | −0.611156 | + | 1.05855i | ||||
\(575\) | −3.71378 | + | 3.71378i | −0.154875 | + | 0.154875i | ||||
\(576\) | 46.1513 | + | 26.6455i | 1.92297 | + | 1.11023i | ||||
\(577\) | −8.05926 | + | 13.9591i | −0.335512 | + | 0.581123i | −0.983583 | − | 0.180457i | \(-0.942242\pi\) |
0.648071 | + | 0.761580i | \(0.275576\pi\) | |||||||
\(578\) | 9.20156 | + | 44.6004i | 0.382735 | + | 1.85513i | ||||
\(579\) | 1.51219 | + | 2.61919i | 0.0628445 | + | 0.108850i | ||||
\(580\) | − | 176.039i | − | 7.30964i | ||||||
\(581\) | 7.55004 | − | 7.55004i | 0.313229 | − | 0.313229i | ||||
\(582\) | −5.29759 | − | 9.17570i | −0.219592 | − | 0.380345i | ||||
\(583\) | −39.0055 | − | 10.4515i | −1.61544 | − | 0.432857i | ||||
\(584\) | 48.8866 | − | 13.0991i | 2.02294 | − | 0.542046i | ||||
\(585\) | 46.2072 | − | 12.3812i | 1.91043 | − | 0.511899i | ||||
\(586\) | − | 33.5729i | − | 1.38688i | ||||||
\(587\) | −21.4501 | − | 12.3842i | −0.885341 | − | 0.511152i | −0.0129255 | − | 0.999916i | \(-0.504114\pi\) |
−0.872416 | + | 0.488764i | \(0.837448\pi\) | |||||||
\(588\) | −6.96357 | + | 1.86588i | −0.287173 | + | 0.0769477i | ||||
\(589\) | 36.1386 | − | 9.68332i | 1.48907 | − | 0.398994i | ||||
\(590\) | −115.547 | − | 30.9609i | −4.75701 | − | 1.27464i | ||||
\(591\) | −4.23967 | −0.174397 | ||||||||
\(592\) | −117.629 | − | 31.5186i | −4.83453 | − | 1.29541i | ||||
\(593\) | −5.04495 | − | 2.91270i | −0.207171 | − | 0.119610i | 0.392825 | − | 0.919613i | \(-0.371498\pi\) |
−0.599996 | + | 0.800003i | \(0.704831\pi\) | |||||||
\(594\) | −25.7771 | −1.05765 | ||||||||
\(595\) | 2.75435 | + | 26.9821i | 0.112917 | + | 1.10616i | ||||
\(596\) | −53.4250 | − | 92.5348i | −2.18837 | − | 3.79037i | ||||
\(597\) | 1.49109 | − | 0.860881i | 0.0610263 | − | 0.0352335i | ||||
\(598\) | −6.80723 | + | 6.80723i | −0.278368 | + | 0.278368i | ||||
\(599\) | −0.553525 | − | 0.958733i | −0.0226164 | − | 0.0391728i | 0.854496 | − | 0.519458i | \(-0.173866\pi\) |
−0.877112 | + | 0.480286i | \(0.840533\pi\) | |||||||
\(600\) | 17.3693 | − | 17.3693i | 0.709101 | − | 0.709101i | ||||
\(601\) | 29.6040 | + | 29.6040i | 1.20757 | + | 1.20757i | 0.971811 | + | 0.235763i | \(0.0757589\pi\) |
0.235763 | + | 0.971811i | \(0.424241\pi\) | |||||||
\(602\) | 32.2777 | − | 7.89127i | 1.31554 | − | 0.321624i | ||||
\(603\) | − | 5.90669i | − | 0.240539i | ||||||
\(604\) | 40.6284i | 1.65315i | ||||||||
\(605\) | −4.87659 | + | 18.1997i | −0.198262 | + | 0.739923i | ||||
\(606\) | 4.14252 | + | 4.14252i | 0.168278 | + | 0.168278i | ||||
\(607\) | −18.2387 | − | 4.88705i | −0.740287 | − | 0.198359i | −0.131082 | − | 0.991372i | \(-0.541845\pi\) |
−0.609206 | + | 0.793012i | \(0.708512\pi\) | |||||||
\(608\) | 49.0590 | + | 84.9727i | 1.98961 | + | 3.44610i | ||||
\(609\) | 1.94903 | + | 7.27387i | 0.0789786 | + | 0.294752i | ||||
\(610\) | 45.8537i | 1.85656i | ||||||||
\(611\) | −3.99017 | + | 6.91118i | −0.161425 | + | 0.279596i | ||||
\(612\) | 24.7677 | − | 55.1844i | 1.00118 | − | 2.23070i | ||||
\(613\) | −3.37853 | −0.136457 | −0.0682287 | − | 0.997670i | \(-0.521735\pi\) | ||||
−0.0682287 | + | 0.997670i | \(0.521735\pi\) | |||||||
\(614\) | 13.7868 | − | 7.95983i | 0.556391 | − | 0.321233i | ||||
\(615\) | −2.11724 | − | 7.90164i | −0.0853753 | − | 0.318625i | ||||
\(616\) | −32.6052 | + | 56.4738i | −1.31370 | + | 2.27540i | ||||
\(617\) | 5.02017 | + | 18.7355i | 0.202104 | + | 0.754264i | 0.990313 | + | 0.138855i | \(0.0443423\pi\) |
−0.788208 | + | 0.615409i | \(0.788991\pi\) | |||||||
\(618\) | −7.17962 | − | 7.17962i | −0.288807 | − | 0.288807i | ||||
\(619\) | 41.8628 | − | 11.2171i | 1.68261 | − | 0.450853i | 0.714142 | − | 0.700001i | \(-0.246817\pi\) |
0.968465 | + | 0.249148i | \(0.0801505\pi\) | |||||||
\(620\) | 96.9200 | + | 55.9568i | 3.89240 | + | 2.24728i | ||||
\(621\) | −1.52285 | + | 0.879219i | −0.0611099 | + | 0.0352818i | ||||
\(622\) | 6.80519 | − | 25.3973i | 0.272863 | − | 1.01834i | ||||
\(623\) | 1.49220 | + | 1.49220i | 0.0597836 | + | 0.0597836i | ||||
\(624\) | 17.3764 | − | 17.3764i | 0.695612 | − | 0.695612i | ||||
\(625\) | −5.07674 | − | 8.79317i | −0.203070 | − | 0.351727i | ||||
\(626\) | 57.8025 | + | 15.4881i | 2.31025 | + | 0.619030i | ||||
\(627\) | −8.59492 | − | 4.96228i | −0.343248 | − | 0.198174i | ||||
\(628\) | 30.6402 | − | 53.0703i | 1.22268 | − | 2.11774i | ||||
\(629\) | −6.43381 | + | 39.8496i | −0.256533 | + | 1.58891i | ||||
\(630\) | 24.9725 | − | 43.2536i | 0.994927 | − | 1.72326i | ||||
\(631\) | −4.73917 | − | 2.73616i | −0.188663 | − | 0.108925i | 0.402693 | − | 0.915335i | \(-0.368074\pi\) |
−0.591357 | + | 0.806410i | \(0.701407\pi\) | |||||||
\(632\) | −4.25378 | − | 15.8753i | −0.169206 | − | 0.631486i | ||||
\(633\) | −2.24152 | − | 3.88242i | −0.0890924 | − | 0.154312i | ||||
\(634\) | −21.3518 | + | 21.3518i | −0.847987 | + | 0.847987i | ||||
\(635\) | −6.94549 | + | 25.9209i | −0.275623 | + | 1.02864i | ||||
\(636\) | 20.2815 | − | 5.43440i | 0.804212 | − | 0.215488i | ||||
\(637\) | − | 16.6074i | − | 0.658009i | ||||||
\(638\) | −91.9350 | − | 53.0787i | −3.63974 | − | 2.10141i | ||||
\(639\) | −2.69575 | + | 10.0607i | −0.106642 | + | 0.397994i | ||||
\(640\) | −15.9808 | + | 59.6412i | −0.631697 | + | 2.35753i | ||||
\(641\) | −8.47202 | + | 8.47202i | −0.334625 | + | 0.334625i | −0.854340 | − | 0.519715i | \(-0.826038\pi\) |
0.519715 | + | 0.854340i | \(0.326038\pi\) | |||||||
\(642\) | 4.74103 | + | 8.21171i | 0.187114 | + | 0.324090i | ||||
\(643\) | −5.65742 | + | 5.65742i | −0.223107 | + | 0.223107i | −0.809805 | − | 0.586699i | \(-0.800427\pi\) |
0.586699 | + | 0.809805i | \(0.300427\pi\) | |||||||
\(644\) | 7.24974i | 0.285680i | ||||||||
\(645\) | −4.81692 | + | 7.93436i | −0.189666 | + | 0.312415i | ||||
\(646\) | 53.8855 | − | 38.9043i | 2.12010 | − | 1.53067i | ||||
\(647\) | −7.77129 | −0.305521 | −0.152761 | − | 0.988263i | \(-0.548816\pi\) | ||||
−0.152761 | + | 0.988263i | \(0.548816\pi\) | |||||||
\(648\) | −55.5276 | + | 32.0589i | −2.18133 | + | 1.25939i | ||||
\(649\) | −36.7921 | + | 36.7921i | −1.44421 | + | 1.44421i | ||||
\(650\) | 46.1101 | + | 79.8650i | 1.80859 | + | 3.13256i | ||||
\(651\) | −4.62423 | − | 1.23906i | −0.181238 | − | 0.0485625i | ||||
\(652\) | 24.6365 | − | 6.60132i | 0.964838 | − | 0.258528i | ||||
\(653\) | 11.4540 | + | 11.4540i | 0.448231 | + | 0.448231i | 0.894766 | − | 0.446535i | \(-0.147342\pi\) |
−0.446535 | + | 0.894766i | \(0.647342\pi\) | |||||||
\(654\) | 9.87300 | + | 5.70018i | 0.386065 | + | 0.222895i | ||||
\(655\) | −17.0594 | + | 9.84926i | −0.666567 | + | 0.384843i | ||||
\(656\) | 50.8314 | + | 50.8314i | 1.98463 | + | 1.98463i | ||||
\(657\) | −4.36385 | + | 16.2861i | −0.170250 | + | 0.635381i | ||||
\(658\) | 2.15647 | + | 8.04805i | 0.0840679 | + | 0.313746i | ||||
\(659\) | 18.0199 | − | 31.2114i | 0.701957 | − | 1.21583i | −0.265821 | − | 0.964022i | \(-0.585643\pi\) |
0.967778 | − | 0.251803i | \(-0.0810235\pi\) | |||||||
\(660\) | −7.68357 | − | 28.6755i | −0.299082 | − | 1.11619i | ||||
\(661\) | − | 7.31010i | − | 0.284330i | −0.989843 | − | 0.142165i | \(-0.954594\pi\) | ||
0.989843 | − | 0.142165i | \(-0.0454064\pi\) | |||||||
\(662\) | −6.49467 | + | 11.2491i | −0.252422 | + | 0.437208i | ||||
\(663\) | −6.31484 | − | 5.14501i | −0.245248 | − | 0.199816i | ||||
\(664\) | −24.0117 | − | 41.5894i | −0.931833 | − | 1.61398i | ||||
\(665\) | 34.2800 | − | 19.7915i | 1.32932 | − | 0.767483i | ||||
\(666\) | 52.5608 | − | 52.5608i | 2.03669 | − | 2.03669i | ||||
\(667\) | −7.24173 | −0.280401 | ||||||||
\(668\) | −106.597 | − | 28.5626i | −4.12436 | − | 1.10512i | ||||
\(669\) | 0.0840344 | − | 0.313621i | 0.00324896 | − | 0.0121253i | ||||
\(670\) | 18.7521 | − | 5.02461i | 0.724456 | − | 0.194118i | ||||
\(671\) | 17.2726 | + | 9.97233i | 0.666800 | + | 0.384977i | ||||
\(672\) | − | 12.5550i | − | 0.484319i | ||||||
\(673\) | −26.1058 | + | 6.99502i | −1.00630 | + | 0.269638i | −0.724084 | − | 0.689712i | \(-0.757737\pi\) |
−0.282220 | + | 0.959350i | \(0.591071\pi\) | |||||||
\(674\) | −41.9369 | + | 11.2370i | −1.61535 | + | 0.432831i | ||||
\(675\) | 4.35977 | + | 16.2709i | 0.167808 | + | 0.626266i | ||||
\(676\) | 27.3184 | + | 47.3169i | 1.05071 | + | 1.81988i | ||||
\(677\) | 8.99828 | − | 8.99828i | 0.345832 | − | 0.345832i | −0.512723 | − | 0.858554i | \(-0.671363\pi\) |
0.858554 | + | 0.512723i | \(0.171363\pi\) | |||||||
\(678\) | 7.98959 | − | 4.61279i | 0.306839 | − | 0.177153i | ||||
\(679\) | 9.19029 | − | 15.9180i | 0.352691 | − | 0.610879i | ||||
\(680\) | 120.428 | + | 19.4433i | 4.61819 | + | 0.745618i | ||||
\(681\) | 0.852943 | − | 1.47734i | 0.0326848 | − | 0.0566118i | ||||
\(682\) | 58.4459 | − | 33.7438i | 2.23801 | − | 1.29212i | ||||
\(683\) | −9.81257 | − | 2.62927i | −0.375467 | − | 0.100606i | 0.0661499 | − | 0.997810i | \(-0.478928\pi\) |
−0.441617 | + | 0.897204i | \(0.645595\pi\) | |||||||
\(684\) | −88.2774 | −3.37537 | ||||||||
\(685\) | −17.6614 | − | 4.73236i | −0.674807 | − | 0.180814i | ||||
\(686\) | −37.3423 | − | 37.3423i | −1.42574 | − | 1.42574i | ||||
\(687\) | −2.82657 | − | 2.82657i | −0.107840 | − | 0.107840i | ||||
\(688\) | 1.79616 | − | 81.5478i | 0.0684780 | − | 3.10898i | ||||
\(689\) | 48.3692i | 1.84272i | ||||||||
\(690\) | −1.98533 | − | 1.98533i | −0.0755801 | − | 0.0755801i | ||||
\(691\) | 6.31409 | − | 23.5645i | 0.240199 | − | 0.896436i | −0.735536 | − | 0.677485i | \(-0.763070\pi\) |
0.975736 | − | 0.218951i | \(-0.0702635\pi\) | |||||||
\(692\) | 55.7879 | − | 55.7879i | 2.12074 | − | 2.12074i | ||||
\(693\) | −10.8621 | − | 18.8137i | −0.412617 | − | 0.714673i | ||||
\(694\) | −24.4224 | − | 6.54396i | −0.927062 | − | 0.248406i | ||||
\(695\) | −32.6186 | − | 18.8324i | −1.23729 | − | 0.714352i | ||||
\(696\) | 33.8696 | 1.28382 | ||||||||
\(697\) | 15.0508 | − | 18.4729i | 0.570089 | − | 0.699711i | ||||
\(698\) | −29.5946 | − | 51.2594i | −1.12017 | − | 1.94020i | ||||
\(699\) | 3.15198i | 0.119219i | ||||||||
\(700\) | 67.0821 | + | 17.9746i | 2.53547 | + | 0.679376i | ||||
\(701\) | 23.3117 | − | 40.3770i | 0.880470 | − | 1.52502i | 0.0296506 | − | 0.999560i | \(-0.490561\pi\) |
0.850819 | − | 0.525458i | \(-0.176106\pi\) | |||||||
\(702\) | 7.99131 | + | 29.8240i | 0.301612 | + | 1.12563i | ||||
\(703\) | 56.9035 | − | 15.2472i | 2.14615 | − | 0.575060i | ||||
\(704\) | 53.8707 | + | 53.8707i | 2.03033 | + | 2.03033i | ||||
\(705\) | −2.01564 | − | 1.16373i | −0.0759135 | − | 0.0438287i | ||||
\(706\) | 17.4205 | + | 10.0577i | 0.655630 | + | 0.378528i | ||||
\(707\) | −2.63043 | + | 9.81689i | −0.0989274 | + | 0.369202i | ||||
\(708\) | 7.00227 | − | 26.1328i | 0.263161 | − | 0.982131i | ||||
\(709\) | 4.58875 | − | 4.58875i | 0.172334 | − | 0.172334i | −0.615670 | − | 0.788004i | \(-0.711115\pi\) |
0.788004 | + | 0.615670i | \(0.211115\pi\) | |||||||
\(710\) | −34.2330 | −1.28474 | ||||||||
\(711\) | 5.28870 | + | 1.41710i | 0.198342 | + | 0.0531456i | ||||
\(712\) | 8.21977 | − | 4.74569i | 0.308049 | − | 0.177852i | ||||
\(713\) | 2.30190 | − | 3.98700i | 0.0862067 | − | 0.149314i | ||||
\(714\) | −8.46037 | + | 0.863641i | −0.316621 | + | 0.0323209i | ||||
\(715\) | 68.3880 | 2.55757 | ||||||||
\(716\) | 109.856 | + | 63.4256i | 4.10552 | + | 2.37033i | ||||
\(717\) | 1.87304 | + | 6.99029i | 0.0699500 | + | 0.261057i | ||||
\(718\) | −0.950087 | + | 1.64560i | −0.0354569 | + | 0.0614132i | ||||
\(719\) | 24.6763 | + | 6.61200i | 0.920272 | + | 0.246586i | 0.687702 | − | 0.725993i | \(-0.258620\pi\) |
0.232570 | + | 0.972580i | \(0.425286\pi\) | |||||||
\(720\) | −86.6933 | − | 86.6933i | −3.23087 | − | 3.23087i | ||||
\(721\) | 4.55894 | − | 17.0142i | 0.169784 | − | 0.633641i | ||||
\(722\) | −39.9231 | − | 23.0496i | −1.48578 | − | 0.857818i | ||||
\(723\) | − | 3.47985i | − | 0.129417i | ||||||
\(724\) | −105.420 | + | 28.2472i | −3.91790 | + | 1.04980i | ||||
\(725\) | −17.9547 | + | 67.0080i | −0.666822 | + | 2.48861i | ||||
\(726\) | −5.70661 | − | 1.52908i | −0.211792 | − | 0.0567495i | ||||
\(727\) | −37.5445 | −1.39245 | −0.696224 | − | 0.717825i | \(-0.745138\pi\) | ||||
−0.696224 | + | 0.717825i | \(0.745138\pi\) | |||||||
\(728\) | 75.4479 | + | 20.2162i | 2.79629 | + | 0.749262i | ||||
\(729\) | − | 18.4602i | − | 0.683712i | ||||||
\(730\) | −55.4160 | −2.05104 | ||||||||
\(731\) | −26.9512 | + | 2.15273i | −0.996825 | + | 0.0796217i | ||||
\(732\) | −10.3705 | −0.383305 | ||||||||
\(733\) | − | 3.19842i | − | 0.118136i | −0.998254 | − | 0.0590681i | \(-0.981187\pi\) | ||
0.998254 | − | 0.0590681i | \(-0.0188129\pi\) | |||||||
\(734\) | 55.9707 | + | 14.9973i | 2.06592 | + | 0.553561i | ||||
\(735\) | 4.84354 | 0.178657 | ||||||||
\(736\) | 11.6622 | + | 3.12488i | 0.429874 | + | 0.115184i | ||||
\(737\) | 2.18552 | − | 8.15647i | 0.0805046 | − | 0.300447i | ||||
\(738\) | −42.3834 | + | 11.3566i | −1.56016 | + | 0.418043i | ||||
\(739\) | − | 33.3263i | − | 1.22593i | −0.790111 | − | 0.612964i | \(-0.789977\pi\) | ||
0.790111 | − | 0.612964i | \(-0.210023\pi\) | |||||||
\(740\) | 152.609 | + | 88.1090i | 5.61003 | + | 3.23895i | ||||
\(741\) | −3.07677 | + | 11.4826i | −0.113028 | + | 0.421825i | ||||
\(742\) | 35.7091 | + | 35.7091i | 1.31092 | + | 1.31092i | ||||
\(743\) | −32.5534 | − | 8.72266i | −1.19427 | − | 0.320003i | −0.393697 | − | 0.919240i | \(-0.628804\pi\) |
−0.800572 | + | 0.599237i | \(0.795471\pi\) | |||||||
\(744\) | −10.7660 | + | 18.6472i | −0.394700 | + | 0.683640i | ||||
\(745\) | 18.5800 | + | 69.3415i | 0.680718 | + | 2.54048i | ||||
\(746\) | −19.3529 | − | 11.1734i | −0.708560 | − | 0.409087i | ||||
\(747\) | 15.9985 | 0.585355 | ||||||||
\(748\) | 54.6200 | − | 67.0391i | 1.99711 | − | 2.45119i | ||||
\(749\) | −8.22476 | + | 14.2457i | −0.300526 | + | 0.520527i | ||||
\(750\) | −6.87339 | + | 3.96835i | −0.250981 | + | 0.144904i | ||||
\(751\) | −28.5061 | − | 7.63820i | −1.04020 | − | 0.278722i | −0.302006 | − | 0.953306i | \(-0.597656\pi\) |
−0.738198 | + | 0.674584i | \(0.764323\pi\) | |||||||
\(752\) | 20.4530 | 0.745842 | ||||||||
\(753\) | −0.264039 | + | 0.264039i | −0.00962212 | + | 0.00962212i | ||||
\(754\) | −32.9104 | + | 122.823i | −1.19853 | + | 4.47296i | ||||
\(755\) | 7.06481 | − | 26.3662i | 0.257115 | − | 0.959565i | ||||
\(756\) | 20.1368 | + | 11.6260i | 0.732367 | + | 0.422832i | ||||
\(757\) | −45.6597 | − | 26.3616i | −1.65953 | − | 0.958129i | −0.972932 | − | 0.231090i | \(-0.925771\pi\) |
−0.686596 | − | 0.727039i | \(-0.740896\pi\) | |||||||
\(758\) | −3.31699 | − | 3.31699i | −0.120478 | − | 0.120478i | ||||
\(759\) | −1.17962 | + | 0.316079i | −0.0428176 | + | 0.0114729i | ||||
\(760\) | −46.0780 | − | 171.965i | −1.67142 | − | 6.23784i | ||||
\(761\) | −3.85209 | + | 6.67202i | −0.139638 | + | 0.241861i | −0.927360 | − | 0.374171i | \(-0.877927\pi\) |
0.787721 | + | 0.616032i | \(0.211261\pi\) | |||||||
\(762\) | −8.12764 | − | 2.17780i | −0.294433 | − | 0.0788932i | ||||
\(763\) | 19.7774i | 0.715990i | ||||||||
\(764\) | 45.1331 | + | 78.1728i | 1.63286 | + | 2.82819i | ||||
\(765\) | −25.6692 | + | 31.5057i | −0.928072 | + | 1.13909i | ||||
\(766\) | 6.05477 | 0.218768 | ||||||||
\(767\) | 53.9742 | + | 31.1620i | 1.94890 | + | 1.12520i | ||||
\(768\) | −3.91582 | − | 1.04924i | −0.141300 | − | 0.0378613i | ||||
\(769\) | −0.0101246 | − | 0.0175363i | −0.000365102 | − | 0.000632374i | 0.865843 | − | 0.500316i | \(-0.166783\pi\) |
−0.866208 | + | 0.499684i | \(0.833450\pi\) | |||||||
\(770\) | 50.4883 | − | 50.4883i | 1.81947 | − | 1.81947i | ||||
\(771\) | −2.61468 | + | 9.75813i | −0.0941655 | + | 0.351430i | ||||
\(772\) | 27.1941 | + | 27.1941i | 0.978735 | + | 0.978735i | ||||
\(773\) | 37.6001i | 1.35238i | 0.736727 | + | 0.676190i | \(0.236370\pi\) | ||||
−0.736727 | + | 0.676190i | \(0.763630\pi\) | |||||||
\(774\) | 42.5589 | + | 25.8374i | 1.52975 | + | 0.928705i | ||||
\(775\) | −31.1847 | − | 31.1847i | −1.12019 | − | 1.12019i | ||||
\(776\) | −58.4564 | − | 58.4564i | −2.09846 | − | 2.09846i | ||||
\(777\) | −7.28125 | − | 1.95101i | −0.261214 | − | 0.0699919i | ||||
\(778\) | 52.4141 | 1.87914 | ||||||||
\(779\) | −33.5904 | − | 9.00051i | −1.20350 | − | 0.322477i | ||||
\(780\) | −30.7953 | + | 17.7797i | −1.10265 | + | 0.636614i | ||||
\(781\) | −7.44504 | + | 12.8952i | −0.266404 | + | 0.461426i | ||||
\(782\) | 1.30352 | − | 8.07371i | 0.0466138 | − | 0.288715i | ||||
\(783\) | −11.6131 | + | 20.1145i | −0.415019 | + | 0.718833i | ||||
\(784\) | −36.8610 | + | 21.2817i | −1.31646 | + | 0.760060i | ||||
\(785\) | −29.1126 | + | 29.1126i | −1.03907 | + | 1.03907i | ||||
\(786\) | −3.08829 | − | 5.34907i | −0.110156 | − | 0.190795i | ||||
\(787\) | 2.14402 | + | 8.00161i | 0.0764262 | + | 0.285227i | 0.993553 | − | 0.113369i | \(-0.0361643\pi\) |
−0.917127 | + | 0.398596i | \(0.869498\pi\) | |||||||
\(788\) | −52.0749 | + | 13.9534i | −1.85509 | + | 0.497070i | ||||
\(789\) | 9.87582 | − | 2.64622i | 0.351589 | − | 0.0942079i | ||||
\(790\) | 17.9956i | 0.640256i | ||||||||
\(791\) | 13.8604 | + | 8.00230i | 0.492819 | + | 0.284529i | ||||
\(792\) | −94.3790 | + | 25.2888i | −3.35361 | + | 0.898597i | ||||
\(793\) | 6.18315 | − | 23.0758i | 0.219570 | − | 0.819446i | ||||
\(794\) | −17.6851 | − | 4.73870i | −0.627619 | − | 0.168170i | ||||
\(795\) | −14.1069 | −0.500319 | ||||||||
\(796\) | 15.4814 | − | 15.4814i | 0.548724 | − | 0.548724i | ||||
\(797\) | −8.73038 | + | 5.04049i | −0.309246 | + | 0.178543i | −0.646589 | − | 0.762839i | \(-0.723805\pi\) |
0.337343 | + | 0.941382i | \(0.390472\pi\) | |||||||
\(798\) | 6.20574 | + | 10.7487i | 0.219681 | + | 0.380498i | ||||
\(799\) | −0.688477 | − | 6.74444i | −0.0243566 | − | 0.238601i | ||||
\(800\) | 57.8292 | − | 100.163i | 2.04457 | − | 3.54130i | ||||
\(801\) | 3.16196i | 0.111722i | ||||||||
\(802\) | −15.1374 | − | 56.4936i | −0.534520 | − | 1.99486i | ||||
\(803\) | −12.0520 | + | 20.8746i | −0.425304 | + | 0.736649i | ||||
\(804\) | 1.13639 | + | 4.24107i | 0.0400774 | + | 0.149571i | ||||
\(805\) | 1.26065 | − | 4.70480i | 0.0444320 | − | 0.165822i | ||||
\(806\) | −57.1604 | − | 57.1604i | −2.01339 | − | 2.01339i | ||||
\(807\) | −1.60196 | + | 0.924895i | −0.0563918 | + | 0.0325578i | ||||
\(808\) | 39.5866 | + | 22.8554i | 1.39265 | + | 0.804049i | ||||
\(809\) | −26.6660 | − | 26.6660i | −0.937528 | − | 0.937528i | 0.0606320 | − | 0.998160i | \(-0.480688\pi\) |
−0.998160 | + | 0.0606320i | \(0.980688\pi\) | |||||||
\(810\) | 67.8127 | − | 18.1704i | 2.38270 | − | 0.638441i | ||||
\(811\) | 18.0732 | + | 4.84271i | 0.634638 | + | 0.170051i | 0.561773 | − | 0.827291i | \(-0.310119\pi\) |
0.0728643 | + | 0.997342i | \(0.476786\pi\) | |||||||
\(812\) | 47.8789 | + | 82.9287i | 1.68022 | + | 2.91023i | ||||
\(813\) | 0.780919 | − | 0.780919i | 0.0273880 | − | 0.0273880i | ||||
\(814\) | 92.0283 | − | 53.1326i | 3.22559 | − | 1.86230i | ||||
\(815\) | −17.1360 | −0.600248 | ||||||||
\(816\) | −3.32741 | + | 20.6092i | −0.116483 | + | 0.721468i | ||||
\(817\) | 18.9720 | + | 34.5983i | 0.663747 | + | 1.21044i | ||||
\(818\) | 21.9519i | 0.767529i | ||||||||
\(819\) | −18.3999 | + | 18.3999i | −0.642944 | + | 0.642944i | ||||
\(820\) | −52.0111 | − | 90.0858i | −1.81631 | − | 3.14593i | ||||
\(821\) | 1.29276 | − | 1.29276i | 0.0451175 | − | 0.0451175i | −0.684188 | − | 0.729306i | \(-0.739843\pi\) |
0.729306 | + | 0.684188i | \(0.239843\pi\) | |||||||
\(822\) | 1.48386 | − | 5.53782i | 0.0517554 | − | 0.193154i | ||||
\(823\) | −6.83676 | + | 25.5151i | −0.238314 | + | 0.889401i | 0.738312 | + | 0.674459i | \(0.235623\pi\) |
−0.976627 | + | 0.214942i | \(0.931044\pi\) | |||||||
\(824\) | −68.6097 | − | 39.6118i | −2.39013 | − | 1.37994i | ||||
\(825\) | 11.6988i | 0.407298i | ||||||||
\(826\) | 62.8529 | − | 16.8414i | 2.18693 | − | 0.585986i | ||||
\(827\) | −4.92934 | + | 18.3966i | −0.171410 | + | 0.639711i | 0.825725 | + | 0.564072i | \(0.190766\pi\) |
−0.997135 | + | 0.0756384i | \(0.975901\pi\) | |||||||
\(828\) | −7.68108 | + | 7.68108i | −0.266936 | + | 0.266936i | ||||
\(829\) | −17.2943 | − | 29.9545i | −0.600655 | − | 1.04036i | −0.992722 | − | 0.120428i | \(-0.961573\pi\) |
0.392068 | − | 0.919936i | \(-0.371760\pi\) | |||||||
\(830\) | 13.6093 | + | 50.7908i | 0.472387 | + | 1.76297i | ||||
\(831\) | 3.79649 | + | 2.19191i | 0.131699 | + | 0.0760364i | ||||
\(832\) | 45.6273 | − | 79.0287i | 1.58184 | − | 2.73983i | ||||
\(833\) | 8.25851 | + | 11.4387i | 0.286141 | + | 0.396326i | ||||
\(834\) | 5.90499 | − | 10.2277i | 0.204473 | − | 0.354158i | ||||
\(835\) | 64.2106 | + | 37.0720i | 2.22210 | + | 1.28293i | ||||
\(836\) | −121.901 | − | 32.6633i | −4.21604 | − | 1.12968i | ||||
\(837\) | −7.38281 | − | 12.7874i | −0.255187 | − | 0.441997i | ||||
\(838\) | 16.0274 | − | 16.0274i | 0.553656 | − | 0.553656i | ||||
\(839\) | −15.8602 | − | 15.8602i | −0.547554 | − | 0.547554i | 0.378179 | − | 0.925733i | \(-0.376550\pi\) |
−0.925733 | + | 0.378179i | \(0.876550\pi\) | |||||||
\(840\) | −5.89605 | + | 22.0044i | −0.203433 | + | 0.759222i | ||||
\(841\) | −57.7223 | + | 33.3260i | −1.99043 | + | 1.14917i | ||||
\(842\) | −40.0911 | − | 23.1466i | −1.38163 | − | 0.797684i | ||||
\(843\) | 6.09001 | − | 1.63181i | 0.209751 | − | 0.0562026i | ||||
\(844\) | −40.3097 | − | 40.3097i | −1.38752 | − | 1.38752i | ||||
\(845\) | −9.50071 | − | 35.4571i | −0.326834 | − | 1.21976i | ||||
\(846\) | −6.24211 | + | 10.8117i | −0.214608 | + | 0.371712i | ||||
\(847\) | −2.65266 | − | 9.89985i | −0.0911464 | − | 0.340163i | ||||
\(848\) | 107.358 | − | 61.9831i | 3.68669 | − | 2.12851i | ||||
\(849\) | 4.69841 | 0.161249 | ||||||||
\(850\) | −71.4744 | − | 32.0790i | −2.45155 | − | 1.10030i | ||||
\(851\) | 3.62454 | − | 6.27788i | 0.124248 | − | 0.215203i | ||||
\(852\) | − | 7.74230i | − | 0.265247i | ||||||
\(853\) | −4.03491 | − | 15.0585i | −0.138153 | − | 0.515593i | −0.999965 | − | 0.00836557i | \(-0.997337\pi\) |
0.861812 | − | 0.507227i | \(-0.169330\pi\) | |||||||
\(854\) | −12.4712 | − | 21.6008i | −0.426756 | − | 0.739163i | ||||
\(855\) | 57.2886 | + | 15.3504i | 1.95923 | + | 0.524974i | ||||
\(856\) | 52.3150 | + | 52.3150i | 1.78809 | + | 1.78809i | ||||
\(857\) | −1.65039 | + | 6.15933i | −0.0563761 | + | 0.210399i | −0.988368 | − | 0.152080i | \(-0.951403\pi\) |
0.931992 | + | 0.362479i | \(0.118069\pi\) | |||||||
\(858\) | 21.4434i | 0.732066i | ||||||||
\(859\) | − | 3.41648i | − | 0.116569i | −0.998300 | − | 0.0582843i | \(-0.981437\pi\) | ||
0.998300 | − | 0.0582843i | \(-0.0185630\pi\) | |||||||
\(860\) | −33.0519 | + | 113.309i | −1.12706 | + | 3.86381i | ||||
\(861\) | 3.14647 | + | 3.14647i | 0.107231 | + | 0.107231i | ||||
\(862\) | −33.5679 | + | 33.5679i | −1.14333 | + | 1.14333i | ||||
\(863\) | 19.5269 | + | 33.8216i | 0.664703 | + | 1.15130i | 0.979366 | + | 0.202096i | \(0.0647753\pi\) |
−0.314663 | + | 0.949204i | \(0.601891\pi\) | |||||||
\(864\) | 27.3815 | − | 27.3815i | 0.931538 | − | 0.931538i | ||||
\(865\) | −45.9050 | + | 26.5033i | −1.56082 | + | 0.901139i | ||||
\(866\) | 33.0125 | + | 57.1794i | 1.12181 | + | 1.94303i | ||||
\(867\) | 6.90798 | + | 0.403488i | 0.234607 | + | 0.0137032i | ||||
\(868\) | −60.8762 | −2.06627 | ||||||||
\(869\) | 6.77876 | + | 3.91372i | 0.229954 | + | 0.132764i | ||||
\(870\) | −35.8214 | − | 9.59831i | −1.21446 | − | 0.325413i | ||||
\(871\) | −10.1145 | −0.342717 | ||||||||
\(872\) | 85.9213 | + | 23.0225i | 2.90966 | + | 0.779641i | ||||
\(873\) | 26.6022 | − | 7.12804i | 0.900348 | − | 0.241248i | ||||
\(874\) | −11.5289 | + | 3.08916i | −0.389971 | + | 0.104492i | ||||
\(875\) | −11.9240 | − | 6.88432i | −0.403104 | − | 0.232732i | ||||
\(876\) | − | 12.5332i | − | 0.423457i | ||||||
\(877\) | 24.2733 | − | 6.50401i | 0.819650 | − | 0.219625i | 0.175457 | − | 0.984487i | \(-0.443860\pi\) |
0.644194 | + | 0.764862i | \(0.277193\pi\) | |||||||
\(878\) | 50.8980 | − | 13.6381i | 1.71772 | − | 0.460263i | ||||
\(879\) | −4.92758 | − | 1.32034i | −0.166203 | − | 0.0445340i | ||||
\(880\) | −87.6364 | − | 151.791i | −2.95422 | − | 5.11686i | ||||
\(881\) | 18.3464 | − | 18.3464i | 0.618104 | − | 0.618104i | −0.326940 | − | 0.945045i | \(-0.606018\pi\) |
0.945045 | + | 0.326940i | \(0.106018\pi\) | |||||||
\(882\) | − | 25.9802i | − | 0.874797i | ||||||
\(883\) | −7.01872 | − | 12.1568i | −0.236199 | − | 0.409108i | 0.723422 | − | 0.690407i | \(-0.242568\pi\) |
−0.959620 | + | 0.281298i | \(0.909235\pi\) | |||||||
\(884\) | −94.4967 | − | 42.4118i | −3.17827 | − | 1.42646i | ||||
\(885\) | −9.08840 | + | 15.7416i | −0.305503 | + | 0.529147i | ||||
\(886\) | 38.1946 | + | 22.0517i | 1.28317 | + | 0.740840i | ||||
\(887\) | 34.7953 | − | 34.7953i | 1.16831 | − | 1.16831i | 0.185706 | − | 0.982605i | \(-0.440543\pi\) |
0.982605 | − | 0.185706i | \(-0.0594574\pi\) | |||||||
\(888\) | −16.9520 | + | 29.3617i | −0.568871 | + | 0.985313i | ||||
\(889\) | −3.77805 | − | 14.0999i | −0.126712 | − | 0.472895i | ||||
\(890\) | −10.0383 | + | 2.68976i | −0.336486 | + | 0.0901611i | ||||
\(891\) | 7.90343 | − | 29.4960i | 0.264775 | − | 0.988154i | ||||
\(892\) | − | 4.12870i | − | 0.138239i | ||||||
\(893\) | −8.56861 | + | 4.94709i | −0.286738 | + | 0.165548i | ||||
\(894\) | −21.7424 | + | 5.82586i | −0.727174 | + | 0.194846i | ||||
\(895\) | −60.2635 | − | 60.2635i | −2.01439 | − | 2.01439i | ||||
\(896\) | −8.69288 | − | 32.4423i | −0.290409 | − | 1.08382i | ||||
\(897\) | 0.731402 | + | 1.26682i | 0.0244208 | + | 0.0422980i | ||||
\(898\) | 12.7089 | + | 3.40534i | 0.424101 | + | 0.113638i | ||||
\(899\) | − | 60.8089i | − | 2.02809i | ||||||
\(900\) | 52.0293 | + | 90.1174i | 1.73431 | + | 3.00391i | ||||
\(901\) | −24.0530 | − | 33.3152i | −0.801322 | − | 1.10989i | ||||
\(902\) | −62.7287 | −2.08864 | ||||||||
\(903\) | 0.111183 | − | 5.04782i | 0.00369992 | − | 0.167981i | ||||
\(904\) | 50.9000 | − | 50.9000i | 1.69291 | − | 1.69291i | ||||
\(905\) | 73.3252 | 2.43741 | ||||||||
\(906\) | 8.26727 | + | 2.21521i | 0.274662 | + | 0.0735954i | ||||
\(907\) | 4.44058 | + | 4.44058i | 0.147447 | + | 0.147447i | 0.776977 | − | 0.629530i | \(-0.216752\pi\) |
−0.629530 | + | 0.776977i | \(0.716752\pi\) | |||||||
\(908\) | 5.61434 | − | 20.9530i | 0.186318 | − | 0.695349i | ||||
\(909\) | −13.1879 | + | 7.61404i | −0.437415 | + | 0.252542i | ||||
\(910\) | −74.0667 | − | 42.7624i | −2.45529 | − | 1.41756i | ||||
\(911\) | −27.0626 | − | 27.0626i | −0.896625 | − | 0.896625i | 0.0985106 | − | 0.995136i | \(-0.468592\pi\) |
−0.995136 | + | 0.0985106i | \(0.968592\pi\) | |||||||
\(912\) | 29.4291 | − | 7.88550i | 0.974494 | − | 0.261115i | ||||
\(913\) | 22.0921 | + | 5.91956i | 0.731142 | + | 0.195909i | ||||
\(914\) | 7.43160 | 0.245816 | ||||||||
\(915\) | 6.73005 | + | 1.80331i | 0.222489 | + | 0.0596157i | ||||
\(916\) | −44.0208 | − | 25.4154i | −1.45449 | − | 0.839749i | ||||
\(917\) | 5.35758 | − | 9.27960i | 0.176923 | − | 0.306439i | ||||
\(918\) | −20.3350 | − | 16.5679i | −0.671155 | − | 0.546823i | ||||
\(919\) | 53.9640 | 1.78011 | 0.890054 | − | 0.455856i | \(-0.150667\pi\) | ||||
0.890054 | + | 0.455856i | \(0.150667\pi\) | |||||||
\(920\) | −18.9721 | − | 10.9536i | −0.625492 | − | 0.361128i | ||||
\(921\) | −0.626081 | − | 2.33657i | −0.0206301 | − | 0.0769925i | ||||
\(922\) | 42.4407 | + | 73.5095i | 1.39771 | + | 2.42091i | ||||
\(923\) | 17.2277 | + | 4.61615i | 0.567057 | + | 0.151942i | ||||
\(924\) | 11.4187 | + | 11.4187i | 0.375647 | + | 0.375647i | ||||
\(925\) | −49.1030 | − | 49.1030i | −1.61450 | − | 1.61450i | ||||
\(926\) | 95.8649 | − | 55.3476i | 3.15031 | − | 1.81884i | ||||
\(927\) | 22.8567 | − | 13.1963i | 0.750711 | − | 0.433423i | ||||
\(928\) | 154.039 | − | 41.2747i | 5.05659 | − | 1.35491i | ||||
\(929\) | −33.9849 | + | 9.10622i | −1.11501 | + | 0.298766i | −0.768862 | − | 0.639415i | \(-0.779177\pi\) |
−0.346146 | + | 0.938181i | \(0.612510\pi\) | |||||||
\(930\) | 16.6708 | − | 16.6708i | 0.546657 | − | 0.546657i | ||||
\(931\) | 10.2951 | − | 17.8316i | 0.337408 | − | 0.584408i | ||||
\(932\) | 10.3737 | + | 38.7150i | 0.339800 | + | 1.26815i | ||||
\(933\) | −3.45999 | − | 1.99763i | −0.113275 | − | 0.0653994i | ||||
\(934\) | 6.42163 | + | 11.1226i | 0.210122 | + | 0.363942i | ||||
\(935\) | −47.1036 | + | 34.0079i | −1.54045 | + | 1.11218i | ||||
\(936\) | 58.5178 | + | 101.356i | 1.91271 | + | 3.31292i | ||||
\(937\) | −15.3319 | − | 8.85185i | −0.500870 | − | 0.289177i | 0.228203 | − | 0.973614i | \(-0.426715\pi\) |
−0.729073 | + | 0.684436i | \(0.760048\pi\) | |||||||
\(938\) | −7.46716 | + | 7.46716i | −0.243811 | + | 0.243811i | ||||
\(939\) | 4.54646 | − | 7.87470i | 0.148368 | − | 0.256981i | ||||
\(940\) | −28.5877 | − | 7.66005i | −0.932427 | − | 0.249843i | ||||
\(941\) | −8.75955 | + | 32.6911i | −0.285553 | + | 1.06570i | 0.662881 | + | 0.748725i | \(0.269333\pi\) |
−0.948434 | + | 0.316974i | \(0.897333\pi\) | |||||||
\(942\) | −9.12841 | − | 9.12841i | −0.297420 | − | 0.297420i | ||||
\(943\) | −3.70586 | + | 2.13958i | −0.120679 | + | 0.0696743i | ||||
\(944\) | − | 159.731i | − | 5.19882i | ||||||
\(945\) | −11.0463 | − | 11.0463i | −0.359338 | − | 0.359338i | ||||
\(946\) | 49.2090 | + | 51.4256i | 1.59992 | + | 1.67199i | ||||
\(947\) | 5.50710 | − | 5.50710i | 0.178957 | − | 0.178957i | −0.611944 | − | 0.790901i | \(-0.709612\pi\) |
0.790901 | + | 0.611944i | \(0.209612\pi\) | |||||||
\(948\) | −4.06999 | −0.132187 | ||||||||
\(949\) | 27.8880 | + | 7.47258i | 0.905284 | + | 0.242570i | ||||
\(950\) | 114.336i | 3.70956i | ||||||||
\(951\) | 2.29414 | + | 3.97356i | 0.0743925 | + | 0.128852i | ||||
\(952\) | −62.0193 | + | 23.5944i | −2.01006 | + | 0.764698i | ||||
\(953\) | −6.25701 | + | 10.8375i | −0.202684 | + | 0.351060i | −0.949392 | − | 0.314092i | \(-0.898300\pi\) |
0.746708 | + | 0.665152i | \(0.231633\pi\) | |||||||
\(954\) | 75.6675i | 2.44982i | ||||||||
\(955\) | −15.6962 | − | 58.5792i | −0.507919 | − | 1.89558i | ||||
\(956\) | 46.0123 | + | 79.6956i | 1.48814 | + | 2.57754i | ||||
\(957\) | −11.4061 | + | 11.4061i | −0.368706 | + | 0.368706i | ||||
\(958\) | 27.9025 | − | 104.134i | 0.901489 | − | 3.36440i | ||||
\(959\) | 9.60704 | − | 2.57420i | 0.310228 | − | 0.0831252i | ||||
\(960\) | 23.0487 | + | 13.3072i | 0.743894 | + | 0.429487i | ||||
\(961\) | 6.63212 | + | 3.82905i | 0.213939 | + | 0.123518i | ||||
\(962\) | −90.0041 | − | 90.0041i | −2.90185 | − | 2.90185i | ||||
\(963\) | −23.8074 | + | 6.37917i | −0.767183 | + | 0.205566i | ||||
\(964\) | −11.4527 | − | 42.7421i | −0.368867 | − | 1.37663i | ||||
\(965\) | −12.9191 | − | 22.3766i | −0.415882 | − | 0.720329i | ||||
\(966\) | 1.47521 | + | 0.395283i | 0.0474643 | + | 0.0127180i | ||||
\(967\) | 35.3781i | 1.13768i | 0.822447 | + | 0.568842i | \(0.192608\pi\) | ||||
−0.822447 | + | 0.568842i | \(0.807392\pi\) | |||||||
\(968\) | −46.0970 | −1.48161 | ||||||||
\(969\) | −3.59090 | − | 9.43891i | −0.115356 | − | 0.303221i | ||||
\(970\) | 45.2591 | + | 78.3910i | 1.45318 | + | 2.51698i | ||||
\(971\) | −27.8412 | − | 16.0741i | −0.893467 | − | 0.515843i | −0.0183918 | − | 0.999831i | \(-0.505855\pi\) |
−0.875075 | + | 0.483988i | \(0.839188\pi\) | |||||||
\(972\) | 13.6538 | + | 50.9566i | 0.437945 | + | 1.63443i | ||||
\(973\) | 20.4880 | 0.656815 | ||||||||
\(974\) | −20.4007 | − | 76.1365i | −0.653681 | − | 2.43957i | ||||
\(975\) | 13.5354 | − | 3.62679i | 0.433479 | − | 0.116150i | ||||
\(976\) | −59.1414 | + | 15.8469i | −1.89307 | + | 0.507247i | ||||
\(977\) | −33.1215 | + | 19.1227i | −1.05965 | + | 0.611789i | −0.925335 | − | 0.379150i | \(-0.876216\pi\) |
−0.134314 | + | 0.990939i | \(0.542883\pi\) | |||||||
\(978\) | − | 5.37308i | − | 0.171812i | ||||||
\(979\) | −1.16995 | + | 4.36630i | −0.0373917 | + | 0.139548i | ||||
\(980\) | 59.4921 | − | 15.9408i | 1.90040 | − | 0.509212i | ||||
\(981\) | −20.9541 | + | 20.9541i | −0.669013 | + | 0.669013i | ||||
\(982\) | 20.8312 | − | 36.0807i | 0.664750 | − | 1.15138i | ||||
\(983\) | 8.77944 | + | 2.35244i | 0.280021 | + | 0.0750313i | 0.396096 | − | 0.918209i | \(-0.370365\pi\) |
−0.116075 | + | 0.993240i | \(0.537031\pi\) | |||||||
\(984\) | 17.3323 | − | 10.0068i | 0.552534 | − | 0.319006i | ||||
\(985\) | 36.2209 | 1.15409 | ||||||||
\(986\) | −38.4098 | − | 100.963i | −1.22322 | − | 3.21531i | ||||
\(987\) | 1.26604 | 0.0402985 | ||||||||
\(988\) | 151.165i | 4.80919i | ||||||||
\(989\) | 4.66120 | + | 1.35965i | 0.148217 | + | 0.0432345i | ||||
\(990\) | 106.984 | 3.40019 | ||||||||
\(991\) | −22.2717 | + | 22.2717i | −0.707483 | + | 0.707483i | −0.966005 | − | 0.258522i | \(-0.916765\pi\) |
0.258522 | + | 0.966005i | \(0.416765\pi\) | |||||||
\(992\) | −26.2396 | + | 97.9276i | −0.833109 | + | 3.10920i | ||||
\(993\) | 1.39564 | + | 1.39564i | 0.0442892 | + | 0.0442892i | ||||
\(994\) | 16.1265 | − | 9.31063i | 0.511501 | − | 0.295315i | ||||
\(995\) | −12.7389 | + | 7.35479i | −0.403849 | + | 0.233163i | ||||
\(996\) | −11.4871 | + | 3.07796i | −0.363983 | + | 0.0975289i | ||||
\(997\) | 25.9501 | + | 25.9501i | 0.821848 | + | 0.821848i | 0.986373 | − | 0.164525i | \(-0.0526092\pi\) |
−0.164525 | + | 0.986373i | \(0.552609\pi\) | |||||||
\(998\) | 1.17775 | + | 4.39542i | 0.0372810 | + | 0.139135i | ||||
\(999\) | −11.6249 | − | 20.1349i | −0.367795 | − | 0.637040i |
(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 | 731.2.n.a.208.2 | ✓ | 256 | |
17.13 | even | 4 | inner | 731.2.n.a.251.63 | yes | 256 | |
43.6 | even | 3 | inner | 731.2.n.a.565.2 | yes | 256 | |
731.608 | even | 12 | inner | 731.2.n.a.608.63 | yes | 256 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.n.a.208.2 | ✓ | 256 | 1.1 | even | 1 | trivial | |
731.2.n.a.251.63 | yes | 256 | 17.13 | even | 4 | inner | |
731.2.n.a.565.2 | yes | 256 | 43.6 | even | 3 | inner | |
731.2.n.a.608.63 | yes | 256 | 731.608 | even | 12 | inner |