Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [287,2,Mod(64,287)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(287, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("287.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 287 = 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 287.n (of order \(10\), 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: | \(2.29170653801\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 64.11 | ||
Character | \(\chi\) | \(=\) | 287.64 |
Dual form | 287.2.n.a.148.11 |
$q$-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 \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).
\(n\) | \(206\) | \(211\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{9}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.172550 | − | 0.531055i | −0.122012 | − | 0.375513i | 0.871333 | − | 0.490692i | \(-0.163256\pi\) |
−0.993345 | + | 0.115179i | \(0.963256\pi\) | |||||||
\(3\) | − | 0.766888i | − | 0.442763i | −0.975187 | − | 0.221381i | \(-0.928943\pi\) | ||
0.975187 | − | 0.221381i | \(-0.0710566\pi\) | |||||||
\(4\) | 1.36579 | − | 0.992303i | 0.682894 | − | 0.496151i | ||||
\(5\) | −0.120197 | + | 0.0873281i | −0.0537537 | + | 0.0390543i | −0.614338 | − | 0.789043i | \(-0.710577\pi\) |
0.560584 | + | 0.828098i | \(0.310577\pi\) | |||||||
\(6\) | −0.407260 | + | 0.132327i | −0.166263 | + | 0.0540222i | ||||
\(7\) | −0.951057 | − | 0.309017i | −0.359466 | − | 0.116797i | ||||
\(8\) | −1.66612 | − | 1.21051i | −0.589063 | − | 0.427979i | ||||
\(9\) | 2.41188 | 0.803961 | ||||||||
\(10\) | 0.0671161 | + | 0.0487627i | 0.0212240 | + | 0.0154201i | ||||
\(11\) | 2.42915 | − | 3.34344i | 0.732416 | − | 1.00808i | −0.266603 | − | 0.963806i | \(-0.585901\pi\) |
0.999019 | − | 0.0442778i | \(-0.0140987\pi\) | |||||||
\(12\) | −0.760985 | − | 1.04741i | −0.219677 | − | 0.302360i | ||||
\(13\) | −3.09348 | + | 1.00513i | −0.857977 | + | 0.278774i | −0.704783 | − | 0.709423i | \(-0.748956\pi\) |
−0.153194 | + | 0.988196i | \(0.548956\pi\) | |||||||
\(14\) | 0.558385i | 0.149235i | ||||||||
\(15\) | 0.0669709 | + | 0.0921775i | 0.0172918 | + | 0.0238001i | ||||
\(16\) | 0.688012 | − | 2.11748i | 0.172003 | − | 0.529371i | ||||
\(17\) | −1.11980 | + | 1.54128i | −0.271592 | + | 0.373815i | −0.922927 | − | 0.384976i | \(-0.874210\pi\) |
0.651334 | + | 0.758791i | \(0.274210\pi\) | |||||||
\(18\) | −0.416171 | − | 1.28084i | −0.0980925 | − | 0.301898i | ||||
\(19\) | 1.12564 | + | 0.365743i | 0.258240 | + | 0.0839071i | 0.435276 | − | 0.900297i | \(-0.356651\pi\) |
−0.177036 | + | 0.984204i | \(0.556651\pi\) | |||||||
\(20\) | −0.0775074 | + | 0.238543i | −0.0173312 | + | 0.0533399i | ||||
\(21\) | −0.236981 | + | 0.729354i | −0.0517136 | + | 0.159158i | ||||
\(22\) | −2.19470 | − | 0.713102i | −0.467912 | − | 0.152034i | ||||
\(23\) | −1.30541 | − | 4.01763i | −0.272196 | − | 0.837734i | −0.989948 | − | 0.141435i | \(-0.954828\pi\) |
0.717751 | − | 0.696300i | \(-0.245172\pi\) | |||||||
\(24\) | −0.928323 | + | 1.27773i | −0.189493 | + | 0.260815i | ||||
\(25\) | −1.53826 | + | 4.73429i | −0.307653 | + | 0.946858i | ||||
\(26\) | 1.06756 | + | 1.46937i | 0.209366 | + | 0.288168i | ||||
\(27\) | − | 4.15031i | − | 0.798727i | ||||||
\(28\) | −1.60558 | + | 0.521685i | −0.303426 | + | 0.0985891i | ||||
\(29\) | −0.381840 | − | 0.525558i | −0.0709059 | − | 0.0975936i | 0.772091 | − | 0.635512i | \(-0.219211\pi\) |
−0.842997 | + | 0.537918i | \(0.819211\pi\) | |||||||
\(30\) | 0.0373955 | − | 0.0514705i | 0.00682745 | − | 0.00939719i | ||||
\(31\) | 4.94272 | + | 3.59110i | 0.887739 | + | 0.644980i | 0.935287 | − | 0.353889i | \(-0.115141\pi\) |
−0.0475488 | + | 0.998869i | \(0.515141\pi\) | |||||||
\(32\) | −5.36209 | −0.947893 | ||||||||
\(33\) | −2.56404 | − | 1.86288i | −0.446342 | − | 0.324287i | ||||
\(34\) | 1.01173 | + | 0.328730i | 0.173510 | + | 0.0563767i | ||||
\(35\) | 0.141300 | − | 0.0459111i | 0.0238840 | − | 0.00776039i | ||||
\(36\) | 3.29412 | − | 2.39332i | 0.549020 | − | 0.398886i | ||||
\(37\) | 1.40518 | − | 1.02092i | 0.231010 | − | 0.167839i | −0.466259 | − | 0.884648i | \(-0.654398\pi\) |
0.697269 | + | 0.716810i | \(0.254398\pi\) | |||||||
\(38\) | − | 0.660886i | − | 0.107210i | ||||||
\(39\) | 0.770824 | + | 2.37235i | 0.123431 | + | 0.379880i | ||||
\(40\) | 0.305974 | 0.0483787 | ||||||||
\(41\) | 1.59307 | − | 6.20178i | 0.248795 | − | 0.968556i | ||||
\(42\) | 0.428218 | 0.0660755 | ||||||||
\(43\) | 2.93877 | + | 9.04459i | 0.448158 | + | 1.37929i | 0.878983 | + | 0.476852i | \(0.158222\pi\) |
−0.430826 | + | 0.902435i | \(0.641778\pi\) | |||||||
\(44\) | − | 6.97688i | − | 1.05180i | ||||||
\(45\) | −0.289901 | + | 0.210625i | −0.0432159 | + | 0.0313982i | ||||
\(46\) | −1.90834 | + | 1.38649i | −0.281369 | + | 0.204427i | ||||
\(47\) | 2.27640 | − | 0.739648i | 0.332047 | − | 0.107889i | −0.138248 | − | 0.990398i | \(-0.544147\pi\) |
0.470296 | + | 0.882509i | \(0.344147\pi\) | |||||||
\(48\) | −1.62387 | − | 0.527628i | −0.234386 | − | 0.0761566i | ||||
\(49\) | 0.809017 | + | 0.587785i | 0.115574 | + | 0.0839693i | ||||
\(50\) | 2.77960 | 0.393095 | ||||||||
\(51\) | 1.18199 | + | 0.858764i | 0.165511 | + | 0.120251i | ||||
\(52\) | −3.22764 | + | 4.44247i | −0.447593 | + | 0.616059i | ||||
\(53\) | 0.968000 | + | 1.33234i | 0.132965 | + | 0.183011i | 0.870308 | − | 0.492508i | \(-0.163920\pi\) |
−0.737343 | + | 0.675519i | \(0.763920\pi\) | |||||||
\(54\) | −2.20404 | + | 0.716137i | −0.299932 | + | 0.0974539i | ||||
\(55\) | 0.614004i | 0.0827922i | ||||||||
\(56\) | 1.21051 | + | 1.66612i | 0.161761 | + | 0.222645i | ||||
\(57\) | 0.280484 | − | 0.863240i | 0.0371510 | − | 0.114339i | ||||
\(58\) | −0.213214 | + | 0.293463i | −0.0279963 | + | 0.0385336i | ||||
\(59\) | 4.65782 | + | 14.3353i | 0.606397 | + | 1.86630i | 0.486887 | + | 0.873465i | \(0.338132\pi\) |
0.119510 | + | 0.992833i | \(0.461868\pi\) | |||||||
\(60\) | 0.182936 | + | 0.0594395i | 0.0236169 | + | 0.00767361i | ||||
\(61\) | −4.45853 | + | 13.7220i | −0.570857 | + | 1.75692i | 0.0790168 | + | 0.996873i | \(0.474822\pi\) |
−0.649873 | + | 0.760043i | \(0.725178\pi\) | |||||||
\(62\) | 1.05420 | − | 3.24450i | 0.133884 | − | 0.412052i | ||||
\(63\) | −2.29384 | − | 0.745313i | −0.288996 | − | 0.0939006i | ||||
\(64\) | −0.450793 | − | 1.38740i | −0.0563491 | − | 0.173425i | ||||
\(65\) | 0.284050 | − | 0.390962i | 0.0352321 | − | 0.0484928i | ||||
\(66\) | −0.546869 | + | 1.68309i | −0.0673149 | + | 0.207174i | ||||
\(67\) | 7.52515 | + | 10.3575i | 0.919343 | + | 1.26537i | 0.963874 | + | 0.266359i | \(0.0858206\pi\) |
−0.0445311 | + | 0.999008i | \(0.514179\pi\) | |||||||
\(68\) | 3.21624i | 0.390027i | ||||||||
\(69\) | −3.08107 | + | 1.00110i | −0.370918 | + | 0.120518i | ||||
\(70\) | −0.0487627 | − | 0.0671161i | −0.00582826 | − | 0.00802191i | ||||
\(71\) | −2.43609 | + | 3.35299i | −0.289111 | + | 0.397927i | −0.928725 | − | 0.370769i | \(-0.879094\pi\) |
0.639614 | + | 0.768696i | \(0.279094\pi\) | |||||||
\(72\) | −4.01849 | − | 2.91960i | −0.473583 | − | 0.344078i | ||||
\(73\) | 3.14848 | 0.368502 | 0.184251 | − | 0.982879i | \(-0.441014\pi\) | ||||
0.184251 | + | 0.982879i | \(0.441014\pi\) | |||||||
\(74\) | −0.784630 | − | 0.570067i | −0.0912114 | − | 0.0662690i | ||||
\(75\) | 3.63067 | + | 1.17968i | 0.419233 | + | 0.136217i | ||||
\(76\) | 1.90031 | − | 0.617449i | 0.217981 | − | 0.0708263i | ||||
\(77\) | −3.34344 | + | 2.42915i | −0.381020 | + | 0.276827i | ||||
\(78\) | 1.12684 | − | 0.818700i | 0.127590 | − | 0.0926996i | ||||
\(79\) | − | 11.6038i | − | 1.30553i | −0.757562 | − | 0.652764i | \(-0.773609\pi\) | ||
0.757562 | − | 0.652764i | \(-0.226391\pi\) | |||||||
\(80\) | 0.102219 | + | 0.314598i | 0.0114284 | + | 0.0351731i | ||||
\(81\) | 4.05283 | 0.450315 | ||||||||
\(82\) | −3.56838 | + | 0.224113i | −0.394061 | + | 0.0247491i | ||||
\(83\) | 0.240092 | 0.0263536 | 0.0131768 | − | 0.999913i | \(-0.495806\pi\) | ||||
0.0131768 | + | 0.999913i | \(0.495806\pi\) | |||||||
\(84\) | 0.400073 | + | 1.23130i | 0.0436516 | + | 0.134346i | ||||
\(85\) | − | 0.283047i | − | 0.0307008i | ||||||
\(86\) | 4.29609 | − | 3.12130i | 0.463260 | − | 0.336578i | ||||
\(87\) | −0.403044 | + | 0.292828i | −0.0432108 | + | 0.0313945i | ||||
\(88\) | −8.09451 | + | 2.63007i | −0.862878 | + | 0.280366i | ||||
\(89\) | −1.72766 | − | 0.561352i | −0.183132 | − | 0.0595032i | 0.216015 | − | 0.976390i | \(-0.430694\pi\) |
−0.399147 | + | 0.916887i | \(0.630694\pi\) | |||||||
\(90\) | 0.161876 | + | 0.117610i | 0.0170632 | + | 0.0123972i | ||||
\(91\) | 3.25268 | 0.340973 | ||||||||
\(92\) | −5.76962 | − | 4.19187i | −0.601524 | − | 0.437033i | ||||
\(93\) | 2.75397 | − | 3.79051i | 0.285573 | − | 0.393058i | ||||
\(94\) | −0.785588 | − | 1.08127i | −0.0810272 | − | 0.111524i | ||||
\(95\) | −0.167238 | + | 0.0543389i | −0.0171583 | + | 0.00557506i | ||||
\(96\) | 4.11212i | 0.419692i | ||||||||
\(97\) | 0.987635 | + | 1.35936i | 0.100279 | + | 0.138022i | 0.856208 | − | 0.516632i | \(-0.172814\pi\) |
−0.755929 | + | 0.654654i | \(0.772814\pi\) | |||||||
\(98\) | 0.172550 | − | 0.531055i | 0.0174302 | − | 0.0536447i | ||||
\(99\) | 5.85882 | − | 8.06398i | 0.588834 | − | 0.810460i | ||||
\(100\) | 2.59691 | + | 7.99246i | 0.259691 | + | 0.799246i | ||||
\(101\) | −14.4264 | − | 4.68742i | −1.43548 | − | 0.466416i | −0.514996 | − | 0.857193i | \(-0.672206\pi\) |
−0.920485 | + | 0.390777i | \(0.872206\pi\) | |||||||
\(102\) | 0.252099 | − | 0.775881i | 0.0249615 | − | 0.0768237i | ||||
\(103\) | −0.0461975 | + | 0.142181i | −0.00455198 | + | 0.0140095i | −0.953307 | − | 0.302004i | \(-0.902344\pi\) |
0.948755 | + | 0.316013i | \(0.102344\pi\) | |||||||
\(104\) | 6.37083 | + | 2.07001i | 0.624711 | + | 0.202981i | ||||
\(105\) | −0.0352087 | − | 0.108361i | −0.00343601 | − | 0.0105750i | ||||
\(106\) | 0.540517 | − | 0.743957i | 0.0524996 | − | 0.0722595i | ||||
\(107\) | 2.36558 | − | 7.28051i | 0.228689 | − | 0.703833i | −0.769207 | − | 0.639000i | \(-0.779348\pi\) |
0.997896 | − | 0.0648334i | \(-0.0206516\pi\) | |||||||
\(108\) | −4.11836 | − | 5.66844i | −0.396290 | − | 0.545446i | ||||
\(109\) | 5.77161i | 0.552820i | 0.961040 | + | 0.276410i | \(0.0891448\pi\) | ||||
−0.961040 | + | 0.276410i | \(0.910855\pi\) | |||||||
\(110\) | 0.326070 | − | 0.105947i | 0.0310896 | − | 0.0101016i | ||||
\(111\) | −0.782932 | − | 1.07761i | −0.0743127 | − | 0.102283i | ||||
\(112\) | −1.30868 | + | 1.80124i | −0.123658 | + | 0.170201i | ||||
\(113\) | 2.58816 | + | 1.88041i | 0.243474 | + | 0.176894i | 0.702830 | − | 0.711358i | \(-0.251920\pi\) |
−0.459356 | + | 0.888252i | \(0.651920\pi\) | |||||||
\(114\) | −0.506826 | −0.0474686 | ||||||||
\(115\) | 0.507758 | + | 0.368908i | 0.0473487 | + | 0.0344008i | ||||
\(116\) | −1.04302 | − | 0.338899i | −0.0968424 | − | 0.0314660i | ||||
\(117\) | −7.46111 | + | 2.42426i | −0.689780 | + | 0.224123i | ||||
\(118\) | 6.80913 | − | 4.94712i | 0.626832 | − | 0.455420i | ||||
\(119\) | 1.54128 | − | 1.11980i | 0.141289 | − | 0.102652i | ||||
\(120\) | − | 0.234648i | − | 0.0214203i | ||||||
\(121\) | −1.87862 | − | 5.78179i | −0.170784 | − | 0.525618i | ||||
\(122\) | 8.05644 | 0.729396 | ||||||||
\(123\) | −4.75607 | − | 1.22170i | −0.428841 | − | 0.110157i | ||||
\(124\) | 10.3142 | 0.926239 | ||||||||
\(125\) | −0.458098 | − | 1.40988i | −0.0409735 | − | 0.126103i | ||||
\(126\) | 1.34676i | 0.119979i | ||||||||
\(127\) | 2.73670 | − | 1.98833i | 0.242843 | − | 0.176436i | −0.459706 | − | 0.888071i | \(-0.652045\pi\) |
0.702549 | + | 0.711635i | \(0.252045\pi\) | |||||||
\(128\) | −9.33505 | + | 6.78231i | −0.825110 | + | 0.599477i | ||||
\(129\) | 6.93619 | − | 2.25370i | 0.610697 | − | 0.198428i | ||||
\(130\) | −0.256635 | − | 0.0833858i | −0.0225084 | − | 0.00731342i | ||||
\(131\) | −8.68122 | − | 6.30728i | −0.758482 | − | 0.551069i | 0.139962 | − | 0.990157i | \(-0.455302\pi\) |
−0.898444 | + | 0.439087i | \(0.855302\pi\) | |||||||
\(132\) | −5.35048 | −0.465700 | ||||||||
\(133\) | −0.957527 | − | 0.695684i | −0.0830281 | − | 0.0603235i | ||||
\(134\) | 4.20193 | − | 5.78346i | 0.362991 | − | 0.499614i | ||||
\(135\) | 0.362439 | + | 0.498854i | 0.0311937 | + | 0.0429345i | ||||
\(136\) | 3.73146 | − | 1.21242i | 0.319970 | − | 0.103965i | ||||
\(137\) | − | 10.0608i | − | 0.859552i | −0.902936 | − | 0.429776i | \(-0.858593\pi\) | ||
0.902936 | − | 0.429776i | \(-0.141407\pi\) | |||||||
\(138\) | 1.06328 | + | 1.46348i | 0.0905125 | + | 0.124580i | ||||
\(139\) | 5.98578 | − | 18.4223i | 0.507707 | − | 1.56256i | −0.288464 | − | 0.957491i | \(-0.593145\pi\) |
0.796171 | − | 0.605071i | \(-0.206855\pi\) | |||||||
\(140\) | 0.147428 | − | 0.202917i | 0.0124599 | − | 0.0171496i | ||||
\(141\) | −0.567227 | − | 1.74574i | −0.0477691 | − | 0.147018i | ||||
\(142\) | 2.20097 | + | 0.715140i | 0.184702 | + | 0.0600132i | ||||
\(143\) | −4.15393 | + | 12.7845i | −0.347369 | + | 1.06909i | ||||
\(144\) | 1.65941 | − | 5.10712i | 0.138284 | − | 0.425594i | ||||
\(145\) | 0.0917920 | + | 0.0298250i | 0.00762291 | + | 0.00247683i | ||||
\(146\) | −0.543272 | − | 1.67202i | −0.0449615 | − | 0.138377i | ||||
\(147\) | 0.450765 | − | 0.620425i | 0.0371785 | − | 0.0511718i | ||||
\(148\) | 0.906112 | − | 2.78872i | 0.0744819 | − | 0.229232i | ||||
\(149\) | −5.29128 | − | 7.28282i | −0.433479 | − | 0.596632i | 0.535269 | − | 0.844682i | \(-0.320210\pi\) |
−0.968747 | + | 0.248050i | \(0.920210\pi\) | |||||||
\(150\) | − | 2.13164i | − | 0.174048i | ||||||
\(151\) | −15.7960 | + | 5.13243i | −1.28546 | + | 0.417671i | −0.870500 | − | 0.492169i | \(-0.836204\pi\) |
−0.414959 | + | 0.909840i | \(0.636204\pi\) | |||||||
\(152\) | −1.43272 | − | 1.97197i | −0.116209 | − | 0.159948i | ||||
\(153\) | −2.70084 | + | 3.71738i | −0.218350 | + | 0.300533i | ||||
\(154\) | 1.86692 | + | 1.35640i | 0.150441 | + | 0.109302i | ||||
\(155\) | −0.907703 | −0.0729085 | ||||||||
\(156\) | 3.40687 | + | 2.47524i | 0.272768 | + | 0.198178i | ||||
\(157\) | −18.0597 | − | 5.86796i | −1.44132 | − | 0.468314i | −0.519013 | − | 0.854766i | \(-0.673700\pi\) |
−0.922309 | + | 0.386452i | \(0.873700\pi\) | |||||||
\(158\) | −6.16225 | + | 2.00224i | −0.490242 | + | 0.159289i | ||||
\(159\) | 1.02175 | − | 0.742348i | 0.0810303 | − | 0.0588720i | ||||
\(160\) | 0.644507 | − | 0.468262i | 0.0509527 | − | 0.0370193i | ||||
\(161\) | 4.22439i | 0.332929i | ||||||||
\(162\) | −0.699317 | − | 2.15228i | −0.0549436 | − | 0.169099i | ||||
\(163\) | 3.66915 | 0.287390 | 0.143695 | − | 0.989622i | \(-0.454102\pi\) | ||||
0.143695 | + | 0.989622i | \(0.454102\pi\) | |||||||
\(164\) | −3.97826 | − | 10.0511i | −0.310650 | − | 0.784861i | ||||
\(165\) | 0.470872 | 0.0366573 | ||||||||
\(166\) | −0.0414280 | − | 0.127502i | −0.00321544 | − | 0.00989610i | ||||
\(167\) | 12.8577i | 0.994957i | 0.867476 | + | 0.497478i | \(0.165741\pi\) | ||||
−0.867476 | + | 0.497478i | \(0.834259\pi\) | |||||||
\(168\) | 1.27773 | − | 0.928323i | 0.0985788 | − | 0.0716217i | ||||
\(169\) | −1.95789 | + | 1.42249i | −0.150607 | + | 0.109423i | ||||
\(170\) | −0.150314 | + | 0.0488399i | −0.0115285 | + | 0.00374585i | ||||
\(171\) | 2.71491 | + | 0.882129i | 0.207615 | + | 0.0674581i | ||||
\(172\) | 12.9887 | + | 9.43685i | 0.990380 | + | 0.719553i | ||||
\(173\) | −8.09906 | −0.615760 | −0.307880 | − | 0.951425i | \(-0.599620\pi\) | ||||
−0.307880 | + | 0.951425i | \(0.599620\pi\) | |||||||
\(174\) | 0.225053 | + | 0.163511i | 0.0170613 | + | 0.0123957i | ||||
\(175\) | 2.92595 | − | 4.02723i | 0.221181 | − | 0.304430i | ||||
\(176\) | −5.40839 | − | 7.44401i | −0.407673 | − | 0.561113i | ||||
\(177\) | 10.9936 | − | 3.57203i | 0.826327 | − | 0.268490i | ||||
\(178\) | 1.01435i | 0.0760285i | ||||||||
\(179\) | 6.00010 | + | 8.25843i | 0.448468 | + | 0.617264i | 0.972068 | − | 0.234701i | \(-0.0754111\pi\) |
−0.523599 | + | 0.851965i | \(0.675411\pi\) | |||||||
\(180\) | −0.186939 | + | 0.575339i | −0.0139336 | + | 0.0428832i | ||||
\(181\) | 9.68023 | − | 13.3237i | 0.719526 | − | 0.990342i | −0.280014 | − | 0.959996i | \(-0.590339\pi\) |
0.999539 | − | 0.0303463i | \(-0.00966101\pi\) | |||||||
\(182\) | −0.561251 | − | 1.72735i | −0.0416027 | − | 0.128040i | ||||
\(183\) | 10.5232 | + | 3.41919i | 0.777897 | + | 0.252754i | ||||
\(184\) | −2.68841 | + | 8.27407i | −0.198192 | + | 0.609972i | ||||
\(185\) | −0.0797428 | + | 0.245423i | −0.00586281 | + | 0.0180439i | ||||
\(186\) | −2.48817 | − | 0.808455i | −0.182441 | − | 0.0592788i | ||||
\(187\) | 2.43300 | + | 7.48799i | 0.177918 | + | 0.547576i | ||||
\(188\) | 2.37513 | − | 3.26908i | 0.173224 | − | 0.238422i | ||||
\(189\) | −1.28252 | + | 3.94718i | −0.0932893 | + | 0.287115i | ||||
\(190\) | 0.0577140 | + | 0.0794365i | 0.00418701 | + | 0.00576293i | ||||
\(191\) | − | 19.6080i | − | 1.41878i | −0.704814 | − | 0.709392i | \(-0.748970\pi\) | ||
0.704814 | − | 0.709392i | \(-0.251030\pi\) | |||||||
\(192\) | −1.06398 | + | 0.345708i | −0.0767860 | + | 0.0249493i | ||||
\(193\) | 1.78577 | + | 2.45790i | 0.128543 | + | 0.176924i | 0.868437 | − | 0.495799i | \(-0.165125\pi\) |
−0.739895 | + | 0.672723i | \(0.765125\pi\) | |||||||
\(194\) | 0.551480 | − | 0.759047i | 0.0395940 | − | 0.0544964i | ||||
\(195\) | −0.299824 | − | 0.217835i | −0.0214708 | − | 0.0155995i | ||||
\(196\) | 1.68821 | 0.120586 | ||||||||
\(197\) | −3.29607 | − | 2.39473i | −0.234835 | − | 0.170618i | 0.464144 | − | 0.885760i | \(-0.346362\pi\) |
−0.698979 | + | 0.715142i | \(0.746362\pi\) | |||||||
\(198\) | −5.29336 | − | 1.71992i | −0.376183 | − | 0.122229i | ||||
\(199\) | −3.12322 | + | 1.01479i | −0.221399 | + | 0.0719369i | −0.417616 | − | 0.908624i | \(-0.637134\pi\) |
0.196217 | + | 0.980560i | \(0.437134\pi\) | |||||||
\(200\) | 8.29383 | − | 6.02582i | 0.586462 | − | 0.426090i | ||||
\(201\) | 7.94302 | − | 5.77094i | 0.560257 | − | 0.407051i | ||||
\(202\) | 8.47004i | 0.595950i | ||||||||
\(203\) | 0.200745 | + | 0.617830i | 0.0140896 | + | 0.0433632i | ||||
\(204\) | 2.46650 | 0.172689 | ||||||||
\(205\) | 0.350108 | + | 0.884555i | 0.0244526 | + | 0.0617800i | ||||
\(206\) | 0.0834776 | 0.00581616 | ||||||||
\(207\) | −3.14849 | − | 9.69006i | −0.218835 | − | 0.673506i | ||||
\(208\) | 7.24194i | 0.502138i | ||||||||
\(209\) | 3.95719 | − | 2.87506i | 0.273724 | − | 0.198872i | ||||
\(210\) | −0.0514705 | + | 0.0373955i | −0.00355180 | + | 0.00258054i | ||||
\(211\) | −26.2649 | + | 8.53400i | −1.80815 | + | 0.587505i | −0.999999 | − | 0.00146635i | \(-0.999533\pi\) |
−0.808154 | + | 0.588971i | \(0.799533\pi\) | |||||||
\(212\) | 2.64417 | + | 0.859142i | 0.181602 | + | 0.0590061i | ||||
\(213\) | 2.57137 | + | 1.86821i | 0.176187 | + | 0.128008i | ||||
\(214\) | −4.27454 | −0.292201 | ||||||||
\(215\) | −1.14308 | − | 0.830495i | −0.0779573 | − | 0.0566393i | ||||
\(216\) | −5.02398 | + | 6.91491i | −0.341838 | + | 0.470500i | ||||
\(217\) | −3.59110 | − | 4.94272i | −0.243779 | − | 0.335534i | ||||
\(218\) | 3.06505 | − | 0.995894i | 0.207591 | − | 0.0674505i | ||||
\(219\) | − | 2.41453i | − | 0.163159i | ||||||
\(220\) | 0.609278 | + | 0.838599i | 0.0410775 | + | 0.0565383i | ||||
\(221\) | 1.91490 | − | 5.89347i | 0.128810 | − | 0.396437i | ||||
\(222\) | −0.437177 | + | 0.601723i | −0.0293414 | + | 0.0403850i | ||||
\(223\) | −3.07815 | − | 9.47356i | −0.206128 | − | 0.634396i | −0.999665 | − | 0.0258747i | \(-0.991763\pi\) |
0.793537 | − | 0.608522i | \(-0.208237\pi\) | |||||||
\(224\) | 5.09965 | + | 1.65698i | 0.340735 | + | 0.110712i | ||||
\(225\) | −3.71011 | + | 11.4186i | −0.247341 | + | 0.761237i | ||||
\(226\) | 0.552014 | − | 1.69892i | 0.0367194 | − | 0.113011i | ||||
\(227\) | 17.4800 | + | 5.67959i | 1.16019 | + | 0.376967i | 0.824972 | − | 0.565174i | \(-0.191191\pi\) |
0.335215 | + | 0.942142i | \(0.391191\pi\) | |||||||
\(228\) | −0.473514 | − | 1.45733i | −0.0313592 | − | 0.0965138i | ||||
\(229\) | −2.09016 | + | 2.87685i | −0.138121 | + | 0.190108i | −0.872474 | − | 0.488660i | \(-0.837486\pi\) |
0.734353 | + | 0.678768i | \(0.237486\pi\) | |||||||
\(230\) | 0.108297 | − | 0.333303i | 0.00714087 | − | 0.0219774i | ||||
\(231\) | 1.86288 | + | 2.56404i | 0.122569 | + | 0.168702i | ||||
\(232\) | 1.33786i | 0.0878350i | ||||||||
\(233\) | −9.68240 | + | 3.14600i | −0.634315 | + | 0.206102i | −0.608486 | − | 0.793565i | \(-0.708223\pi\) |
−0.0258295 | + | 0.999666i | \(0.508223\pi\) | |||||||
\(234\) | 2.57484 | + | 3.54396i | 0.168322 | + | 0.231676i | ||||
\(235\) | −0.209024 | + | 0.287697i | −0.0136352 | + | 0.0187673i | ||||
\(236\) | 20.5866 | + | 14.9570i | 1.34007 | + | 0.973619i | ||||
\(237\) | −8.89880 | −0.578039 | ||||||||
\(238\) | −0.860626 | − | 0.625282i | −0.0557861 | − | 0.0405310i | ||||
\(239\) | 25.1463 | + | 8.17053i | 1.62658 | + | 0.528508i | 0.973481 | − | 0.228766i | \(-0.0734691\pi\) |
0.653098 | + | 0.757274i | \(0.273469\pi\) | |||||||
\(240\) | 0.241261 | − | 0.0783905i | 0.0155733 | − | 0.00506008i | ||||
\(241\) | −15.9861 | + | 11.6146i | −1.02976 | + | 0.748162i | −0.968260 | − | 0.249945i | \(-0.919587\pi\) |
−0.0614966 | + | 0.998107i | \(0.519587\pi\) | |||||||
\(242\) | −2.74630 | + | 1.99530i | −0.176539 | + | 0.128263i | ||||
\(243\) | − | 15.5590i | − | 0.998109i | ||||||
\(244\) | 7.52692 | + | 23.1655i | 0.481862 | + | 1.48302i | ||||
\(245\) | −0.148571 | −0.00949188 | ||||||||
\(246\) | 0.171869 | + | 2.73654i | 0.0109580 | + | 0.174476i | ||||
\(247\) | −3.84977 | −0.244955 | ||||||||
\(248\) | −3.88812 | − | 11.9664i | −0.246896 | − | 0.759867i | ||||
\(249\) | − | 0.184124i | − | 0.0116684i | ||||||
\(250\) | −0.669679 | + | 0.486551i | −0.0423542 | + | 0.0307722i | ||||
\(251\) | −16.4179 | + | 11.9283i | −1.03629 | + | 0.752908i | −0.969558 | − | 0.244863i | \(-0.921257\pi\) |
−0.0667308 | + | 0.997771i | \(0.521257\pi\) | |||||||
\(252\) | −3.87247 | + | 1.25824i | −0.243943 | + | 0.0792618i | ||||
\(253\) | −16.6037 | − | 5.39488i | −1.04387 | − | 0.339173i | ||||
\(254\) | −1.52813 | − | 1.11025i | −0.0958836 | − | 0.0696635i | ||||
\(255\) | −0.217065 | −0.0135932 | ||||||||
\(256\) | 2.85217 | + | 2.07222i | 0.178260 | + | 0.129514i | ||||
\(257\) | 7.77699 | − | 10.7041i | 0.485115 | − | 0.667704i | −0.494362 | − | 0.869256i | \(-0.664598\pi\) |
0.979478 | + | 0.201552i | \(0.0645984\pi\) | |||||||
\(258\) | −2.39368 | − | 3.29462i | −0.149024 | − | 0.205114i | ||||
\(259\) | −1.65189 | + | 0.536730i | −0.102643 | + | 0.0333508i | ||||
\(260\) | − | 0.815834i | − | 0.0505959i | ||||||
\(261\) | −0.920954 | − | 1.26758i | −0.0570056 | − | 0.0784615i | ||||
\(262\) | −1.85157 | + | 5.69853i | −0.114390 | + | 0.352057i | ||||
\(263\) | 18.1430 | − | 24.9716i | 1.11874 | − | 1.53982i | 0.310877 | − | 0.950450i | \(-0.399377\pi\) |
0.807866 | − | 0.589366i | \(-0.200623\pi\) | |||||||
\(264\) | 2.01697 | + | 6.20758i | 0.124136 | + | 0.382050i | ||||
\(265\) | −0.232701 | − | 0.0756092i | −0.0142947 | − | 0.00464464i | ||||
\(266\) | −0.204225 | + | 0.628540i | −0.0125218 | + | 0.0385383i | ||||
\(267\) | −0.430494 | + | 1.32492i | −0.0263458 | + | 0.0810840i | ||||
\(268\) | 20.5555 | + | 6.67889i | 1.25563 | + | 0.407978i | ||||
\(269\) | 5.97052 | + | 18.3754i | 0.364029 | + | 1.12037i | 0.950587 | + | 0.310459i | \(0.100483\pi\) |
−0.586558 | + | 0.809908i | \(0.699517\pi\) | |||||||
\(270\) | 0.202380 | − | 0.278552i | 0.0123165 | − | 0.0169522i | ||||
\(271\) | 0.563425 | − | 1.73404i | 0.0342256 | − | 0.105336i | −0.932484 | − | 0.361211i | \(-0.882364\pi\) |
0.966710 | + | 0.255875i | \(0.0823636\pi\) | |||||||
\(272\) | 2.49319 | + | 3.43159i | 0.151172 | + | 0.208070i | ||||
\(273\) | − | 2.49444i | − | 0.150970i | ||||||
\(274\) | −5.34284 | + | 1.73599i | −0.322773 | + | 0.104875i | ||||
\(275\) | 12.0921 | + | 16.6434i | 0.729183 | + | 1.00363i | ||||
\(276\) | −3.21470 | + | 4.42465i | −0.193502 | + | 0.266333i | ||||
\(277\) | 15.4938 | + | 11.2569i | 0.930931 | + | 0.676361i | 0.946221 | − | 0.323522i | \(-0.104867\pi\) |
−0.0152897 | + | 0.999883i | \(0.504867\pi\) | |||||||
\(278\) | −10.8161 | −0.648708 | ||||||||
\(279\) | 11.9213 | + | 8.66130i | 0.713707 | + | 0.518539i | ||||
\(280\) | −0.290998 | − | 0.0945511i | −0.0173905 | − | 0.00565051i | ||||
\(281\) | −16.6482 | + | 5.40934i | −0.993151 | + | 0.322694i | −0.760125 | − | 0.649777i | \(-0.774862\pi\) |
−0.233025 | + | 0.972471i | \(0.574862\pi\) | |||||||
\(282\) | −0.829212 | + | 0.602458i | −0.0493789 | + | 0.0358758i | ||||
\(283\) | 6.09215 | − | 4.42621i | 0.362141 | − | 0.263111i | −0.391804 | − | 0.920049i | \(-0.628149\pi\) |
0.753944 | + | 0.656938i | \(0.228149\pi\) | |||||||
\(284\) | 6.99682i | 0.415185i | ||||||||
\(285\) | 0.0416719 | + | 0.128253i | 0.00246843 | + | 0.00759704i | ||||
\(286\) | 7.50603 | 0.443841 | ||||||||
\(287\) | −3.43155 | + | 5.40596i | −0.202558 | + | 0.319104i | ||||
\(288\) | −12.9327 | −0.762069 | ||||||||
\(289\) | 4.13171 | + | 12.7161i | 0.243042 | + | 0.748006i | ||||
\(290\) | − | 0.0538929i | − | 0.00316470i | ||||||
\(291\) | 1.04248 | − | 0.757405i | 0.0611112 | − | 0.0443999i | ||||
\(292\) | 4.30016 | − | 3.12425i | 0.251648 | − | 0.182833i | ||||
\(293\) | −26.1483 | + | 8.49609i | −1.52760 | + | 0.496347i | −0.947923 | − | 0.318501i | \(-0.896821\pi\) |
−0.579676 | + | 0.814847i | \(0.696821\pi\) | |||||||
\(294\) | −0.407260 | − | 0.132327i | −0.0237519 | − | 0.00771745i | ||||
\(295\) | −1.81173 | − | 1.31630i | −0.105483 | − | 0.0766379i | ||||
\(296\) | −3.57703 | −0.207911 | ||||||||
\(297\) | −13.8763 | − | 10.0817i | −0.805184 | − | 0.585000i | ||||
\(298\) | −2.95457 | + | 4.06662i | −0.171154 | + | 0.235573i | ||||
\(299\) | 8.07651 | + | 11.1164i | 0.467076 | + | 0.642876i | ||||
\(300\) | 6.12932 | − | 1.99154i | 0.353876 | − | 0.114981i | ||||
\(301\) | − | 9.51005i | − | 0.548150i | ||||||
\(302\) | 5.45121 | + | 7.50294i | 0.313682 | + | 0.431746i | ||||
\(303\) | −3.59473 | + | 11.0634i | −0.206512 | + | 0.635578i | ||||
\(304\) | 1.54891 | − | 2.13189i | 0.0888360 | − | 0.122272i | ||||
\(305\) | −0.662411 | − | 2.03869i | −0.0379295 | − | 0.116735i | ||||
\(306\) | 2.44017 | + | 0.792858i | 0.139495 | + | 0.0453247i | ||||
\(307\) | −1.45342 | + | 4.47318i | −0.0829512 | + | 0.255298i | −0.983927 | − | 0.178572i | \(-0.942852\pi\) |
0.900976 | + | 0.433870i | \(0.142852\pi\) | |||||||
\(308\) | −2.15597 | + | 6.63540i | −0.122848 | + | 0.378087i | ||||
\(309\) | 0.109037 | + | 0.0354283i | 0.00620291 | + | 0.00201545i | ||||
\(310\) | 0.156624 | + | 0.482041i | 0.00889567 | + | 0.0273781i | ||||
\(311\) | 5.32058 | − | 7.32315i | 0.301702 | − | 0.415258i | −0.631069 | − | 0.775727i | \(-0.717383\pi\) |
0.932771 | + | 0.360469i | \(0.117383\pi\) | |||||||
\(312\) | 1.58746 | − | 4.88571i | 0.0898724 | − | 0.276599i | ||||
\(313\) | −15.3024 | − | 21.0620i | −0.864945 | − | 1.19050i | −0.980368 | − | 0.197179i | \(-0.936822\pi\) |
0.115422 | − | 0.993317i | \(-0.463178\pi\) | |||||||
\(314\) | 10.6032i | 0.598375i | ||||||||
\(315\) | 0.340799 | − | 0.110732i | 0.0192018 | − | 0.00623906i | ||||
\(316\) | −11.5145 | − | 15.8483i | −0.647739 | − | 0.891537i | ||||
\(317\) | −18.5831 | + | 25.5775i | −1.04373 | + | 1.43657i | −0.149613 | + | 0.988745i | \(0.547803\pi\) |
−0.894119 | + | 0.447829i | \(0.852197\pi\) | |||||||
\(318\) | −0.570532 | − | 0.414516i | −0.0319938 | − | 0.0232449i | ||||
\(319\) | −2.68472 | −0.150315 | ||||||||
\(320\) | 0.175343 | + | 0.127394i | 0.00980196 | + | 0.00712154i | ||||
\(321\) | −5.58333 | − | 1.81413i | −0.311631 | − | 0.101255i | ||||
\(322\) | 2.24338 | − | 0.728920i | 0.125019 | − | 0.0406211i | ||||
\(323\) | −1.82421 | + | 1.32536i | −0.101502 | + | 0.0737453i | ||||
\(324\) | 5.53531 | − | 4.02164i | 0.307517 | − | 0.223424i | ||||
\(325\) | − | 16.1916i | − | 0.898148i | ||||||
\(326\) | −0.633114 | − | 1.94852i | −0.0350649 | − | 0.107919i | ||||
\(327\) | 4.42618 | 0.244768 | ||||||||
\(328\) | −10.1615 | + | 8.40450i | −0.561078 | + | 0.464061i | ||||
\(329\) | −2.39355 | −0.131961 | ||||||||
\(330\) | −0.0812491 | − | 0.250059i | −0.00447262 | − | 0.0137653i | ||||
\(331\) | − | 5.22380i | − | 0.287126i | −0.989641 | − | 0.143563i | \(-0.954144\pi\) | ||
0.989641 | − | 0.143563i | \(-0.0458560\pi\) | |||||||
\(332\) | 0.327915 | − | 0.238244i | 0.0179967 | − | 0.0130754i | ||||
\(333\) | 3.38913 | − | 2.46234i | 0.185723 | − | 0.134936i | ||||
\(334\) | 6.82814 | − | 2.21860i | 0.373619 | − | 0.121396i | ||||
\(335\) | −1.80900 | − | 0.587779i | −0.0988361 | − | 0.0321138i | ||||
\(336\) | 1.38135 | + | 1.00361i | 0.0753587 | + | 0.0547513i | ||||
\(337\) | 18.5765 | 1.01193 | 0.505963 | − | 0.862555i | \(-0.331137\pi\) | ||||
0.505963 | + | 0.862555i | \(0.331137\pi\) | |||||||
\(338\) | 1.09326 | + | 0.794299i | 0.0594654 | + | 0.0432041i | ||||
\(339\) | 1.44206 | − | 1.98483i | 0.0783222 | − | 0.107801i | ||||
\(340\) | −0.280869 | − | 0.386582i | −0.0152322 | − | 0.0209654i | ||||
\(341\) | 24.0132 | − | 7.80236i | 1.30039 | − | 0.422522i | ||||
\(342\) | − | 1.59398i | − | 0.0861926i | ||||||
\(343\) | −0.587785 | − | 0.809017i | −0.0317374 | − | 0.0436828i | ||||
\(344\) | 6.05221 | − | 18.6268i | 0.326313 | − | 1.00429i | ||||
\(345\) | 0.282911 | − | 0.389394i | 0.0152314 | − | 0.0209642i | ||||
\(346\) | 1.39750 | + | 4.30105i | 0.0751298 | + | 0.231226i | ||||
\(347\) | 2.59216 | + | 0.842245i | 0.139155 | + | 0.0452141i | 0.377766 | − | 0.925901i | \(-0.376692\pi\) |
−0.238612 | + | 0.971115i | \(0.576692\pi\) | |||||||
\(348\) | −0.259898 | + | 0.799883i | −0.0139320 | + | 0.0428782i | ||||
\(349\) | 8.60378 | − | 26.4797i | 0.460550 | − | 1.41743i | −0.403944 | − | 0.914784i | \(-0.632361\pi\) |
0.864494 | − | 0.502643i | \(-0.167639\pi\) | |||||||
\(350\) | −2.64355 | − | 0.858943i | −0.141304 | − | 0.0459124i | ||||
\(351\) | 4.17161 | + | 12.8389i | 0.222664 | + | 0.685289i | ||||
\(352\) | −13.0253 | + | 17.9278i | −0.694252 | + | 0.955556i | ||||
\(353\) | 7.77588 | − | 23.9317i | 0.413869 | − | 1.27376i | −0.499390 | − | 0.866377i | \(-0.666443\pi\) |
0.913259 | − | 0.407379i | \(-0.133557\pi\) | |||||||
\(354\) | −3.79389 | − | 5.22184i | −0.201643 | − | 0.277538i | ||||
\(355\) | − | 0.615758i | − | 0.0326811i | ||||||
\(356\) | −2.91665 | + | 0.947678i | −0.154582 | + | 0.0502268i | ||||
\(357\) | −0.858764 | − | 1.18199i | −0.0454506 | − | 0.0625574i | ||||
\(358\) | 3.35036 | − | 4.61138i | 0.177072 | − | 0.243719i | ||||
\(359\) | 8.91113 | + | 6.47431i | 0.470311 | + | 0.341701i | 0.797563 | − | 0.603236i | \(-0.206122\pi\) |
−0.327251 | + | 0.944937i | \(0.606122\pi\) | |||||||
\(360\) | 0.737973 | 0.0388946 | ||||||||
\(361\) | −14.2380 | − | 10.3445i | −0.749370 | − | 0.544449i | ||||
\(362\) | −8.74595 | − | 2.84173i | −0.459677 | − | 0.149358i | ||||
\(363\) | −4.43399 | + | 1.44069i | −0.232724 | + | 0.0756166i | ||||
\(364\) | 4.44247 | − | 3.22764i | 0.232849 | − | 0.169174i | ||||
\(365\) | −0.378438 | + | 0.274951i | −0.0198083 | + | 0.0143916i | ||||
\(366\) | − | 6.17838i | − | 0.322949i | ||||||
\(367\) | −2.18347 | − | 6.72002i | −0.113976 | − | 0.350782i | 0.877756 | − | 0.479108i | \(-0.159040\pi\) |
−0.991732 | + | 0.128326i | \(0.959040\pi\) | |||||||
\(368\) | −9.40541 | −0.490291 | ||||||||
\(369\) | 3.84230 | − | 14.9580i | 0.200022 | − | 0.778681i | ||||
\(370\) | 0.144093 | 0.00749104 | ||||||||
\(371\) | −0.508908 | − | 1.56626i | −0.0264212 | − | 0.0813160i | ||||
\(372\) | − | 7.90980i | − | 0.410104i | ||||||
\(373\) | −21.9039 | + | 15.9141i | −1.13414 | + | 0.824003i | −0.986292 | − | 0.165007i | \(-0.947235\pi\) |
−0.147850 | + | 0.989010i | \(0.547235\pi\) | |||||||
\(374\) | 3.55672 | − | 2.58411i | 0.183914 | − | 0.133621i | ||||
\(375\) | −1.08122 | + | 0.351310i | −0.0558339 | + | 0.0181415i | ||||
\(376\) | −4.68811 | − | 1.52326i | −0.241771 | − | 0.0785561i | ||||
\(377\) | 1.70947 | + | 1.24200i | 0.0880422 | + | 0.0639664i | ||||
\(378\) | 2.31747 | 0.119198 | ||||||||
\(379\) | 12.0353 | + | 8.74416i | 0.618212 | + | 0.449157i | 0.852296 | − | 0.523059i | \(-0.175209\pi\) |
−0.234085 | + | 0.972216i | \(0.575209\pi\) | |||||||
\(380\) | −0.174491 | + | 0.240166i | −0.00895120 | + | 0.0123203i | ||||
\(381\) | −1.52483 | − | 2.09874i | −0.0781193 | − | 0.107522i | ||||
\(382\) | −10.4129 | + | 3.38336i | −0.532772 | + | 0.173108i | ||||
\(383\) | − | 2.87177i | − | 0.146741i | −0.997305 | − | 0.0733703i | \(-0.976625\pi\) | ||
0.997305 | − | 0.0733703i | \(-0.0233755\pi\) | |||||||
\(384\) | 5.20127 | + | 7.15894i | 0.265426 | + | 0.365328i | ||||
\(385\) | 0.189738 | − | 0.583952i | 0.00966992 | − | 0.0297610i | ||||
\(386\) | 0.997147 | − | 1.37245i | 0.0507534 | − | 0.0698561i | ||||
\(387\) | 7.08796 | + | 21.8145i | 0.360301 | + | 1.10889i | ||||
\(388\) | 2.69780 | + | 0.876568i | 0.136960 | + | 0.0445010i | ||||
\(389\) | 0.789333 | − | 2.42932i | 0.0400208 | − | 0.123171i | −0.929050 | − | 0.369954i | \(-0.879373\pi\) |
0.969071 | + | 0.246783i | \(0.0793734\pi\) | |||||||
\(390\) | −0.0639476 | + | 0.196810i | −0.00323811 | + | 0.00996588i | ||||
\(391\) | 7.65409 | + | 2.48697i | 0.387084 | + | 0.125771i | ||||
\(392\) | −0.636401 | − | 1.95864i | −0.0321431 | − | 0.0989264i | ||||
\(393\) | −4.83697 | + | 6.65752i | −0.243993 | + | 0.335828i | ||||
\(394\) | −0.702999 | + | 2.16361i | −0.0354166 | + | 0.109001i | ||||
\(395\) | 1.01334 | + | 1.39474i | 0.0509865 | + | 0.0701769i | ||||
\(396\) | − | 16.8274i | − | 0.845609i | ||||||
\(397\) | 4.55938 | − | 1.48143i | 0.228829 | − | 0.0743510i | −0.192358 | − | 0.981325i | \(-0.561614\pi\) |
0.421187 | + | 0.906974i | \(0.361614\pi\) | |||||||
\(398\) | 1.07782 | + | 1.48350i | 0.0540265 | + | 0.0743611i | ||||
\(399\) | −0.533512 | + | 0.734316i | −0.0267090 | + | 0.0367618i | ||||
\(400\) | 8.96644 | + | 6.51450i | 0.448322 | + | 0.325725i | ||||
\(401\) | −3.76257 | −0.187894 | −0.0939469 | − | 0.995577i | \(-0.529948\pi\) | ||||
−0.0939469 | + | 0.995577i | \(0.529948\pi\) | |||||||
\(402\) | −4.43526 | − | 3.22241i | −0.221211 | − | 0.160719i | ||||
\(403\) | −18.8997 | − | 6.14090i | −0.941463 | − | 0.305900i | ||||
\(404\) | −24.3548 | + | 7.91334i | −1.21169 | + | 0.393703i | ||||
\(405\) | −0.487138 | + | 0.353926i | −0.0242061 | + | 0.0175867i | ||||
\(406\) | 0.293463 | − | 0.213214i | 0.0145643 | − | 0.0105816i | ||||
\(407\) | − | 7.17810i | − | 0.355805i | ||||||
\(408\) | −0.929793 | − | 2.86161i | −0.0460316 | − | 0.141671i | ||||
\(409\) | 35.5858 | 1.75961 | 0.879803 | − | 0.475338i | \(-0.157674\pi\) | ||||
0.879803 | + | 0.475338i | \(0.157674\pi\) | |||||||
\(410\) | 0.409336 | − | 0.338557i | 0.0202157 | − | 0.0167201i | ||||
\(411\) | −7.71550 | −0.380578 | ||||||||
\(412\) | 0.0779910 | + | 0.240032i | 0.00384234 | + | 0.0118255i | ||||
\(413\) | − | 15.0730i | − | 0.741695i | ||||||
\(414\) | −4.60269 | + | 3.34405i | −0.226210 | + | 0.164351i | ||||
\(415\) | −0.0288583 | + | 0.0209668i | −0.00141660 | + | 0.00102922i | ||||
\(416\) | 16.5875 | − | 5.38962i | 0.813271 | − | 0.264248i | ||||
\(417\) | −14.1279 | − | 4.59042i | −0.691844 | − | 0.224794i | ||||
\(418\) | −2.20963 | − | 1.60539i | −0.108077 | − | 0.0785223i | ||||
\(419\) | 19.1170 | 0.933924 | 0.466962 | − | 0.884277i | \(-0.345348\pi\) | ||||
0.466962 | + | 0.884277i | \(0.345348\pi\) | |||||||
\(420\) | −0.155615 | − | 0.113061i | −0.00759322 | − | 0.00551680i | ||||
\(421\) | 2.36814 | − | 3.25946i | 0.115416 | − | 0.158856i | −0.747401 | − | 0.664374i | \(-0.768698\pi\) |
0.862816 | + | 0.505517i | \(0.168698\pi\) | |||||||
\(422\) | 9.06405 | + | 12.4756i | 0.441231 | + | 0.607302i | ||||
\(423\) | 5.49042 | − | 1.78394i | 0.266953 | − | 0.0867383i | ||||
\(424\) | − | 3.39161i | − | 0.164711i | ||||||
\(425\) | −5.57430 | − | 7.67237i | −0.270393 | − | 0.372165i | ||||
\(426\) | 0.548432 | − | 1.68790i | 0.0265716 | − | 0.0817790i | ||||
\(427\) | 8.48063 | − | 11.6726i | 0.410407 | − | 0.564876i | ||||
\(428\) | −3.99359 | − | 12.2910i | −0.193037 | − | 0.594108i | ||||
\(429\) | 9.80426 | + | 3.18560i | 0.473354 | + | 0.153802i | ||||
\(430\) | −0.243800 | + | 0.750340i | −0.0117571 | + | 0.0361846i | ||||
\(431\) | −2.68139 | + | 8.25247i | −0.129158 | + | 0.397508i | −0.994636 | − | 0.103440i | \(-0.967015\pi\) |
0.865478 | + | 0.500948i | \(0.167015\pi\) | |||||||
\(432\) | −8.78821 | − | 2.85546i | −0.422823 | − | 0.137383i | ||||
\(433\) | −1.91806 | − | 5.90317i | −0.0921759 | − | 0.283688i | 0.894332 | − | 0.447405i | \(-0.147652\pi\) |
−0.986507 | + | 0.163717i | \(0.947652\pi\) | |||||||
\(434\) | −2.00521 | + | 2.75994i | −0.0962533 | + | 0.132481i | ||||
\(435\) | 0.0228724 | − | 0.0703941i | 0.00109665 | − | 0.00337514i | ||||
\(436\) | 5.72719 | + | 7.88280i | 0.274283 | + | 0.377518i | ||||
\(437\) | − | 4.99985i | − | 0.239175i | ||||||
\(438\) | −1.28225 | + | 0.416628i | −0.0612683 | + | 0.0199073i | ||||
\(439\) | −15.5256 | − | 21.3692i | −0.740998 | − | 1.01990i | −0.998561 | − | 0.0536345i | \(-0.982919\pi\) |
0.257563 | − | 0.966262i | \(-0.417081\pi\) | |||||||
\(440\) | 0.743256 | − | 1.02300i | 0.0354333 | − | 0.0487698i | ||||
\(441\) | 1.95125 | + | 1.41767i | 0.0929169 | + | 0.0675081i | ||||
\(442\) | −3.46017 | −0.164584 | ||||||||
\(443\) | −27.6324 | − | 20.0761i | −1.31286 | − | 0.953845i | −0.999992 | − | 0.00404692i | \(-0.998712\pi\) |
−0.312863 | − | 0.949798i | \(-0.601288\pi\) | |||||||
\(444\) | −2.13864 | − | 0.694886i | −0.101495 | − | 0.0329778i | ||||
\(445\) | 0.256682 | − | 0.0834009i | 0.0121679 | − | 0.00395358i | ||||
\(446\) | −4.49985 | + | 3.26933i | −0.213074 | + | 0.154807i | ||||
\(447\) | −5.58511 | + | 4.05782i | −0.264167 | + | 0.191928i | ||||
\(448\) | 1.45880i | 0.0689217i | ||||||||
\(449\) | 5.12731 | + | 15.7802i | 0.241973 | + | 0.744716i | 0.996120 | + | 0.0880098i | \(0.0280507\pi\) |
−0.754147 | + | 0.656706i | \(0.771949\pi\) | |||||||
\(450\) | 6.70407 | 0.316033 | ||||||||
\(451\) | −16.8655 | − | 20.3914i | −0.794164 | − | 0.960193i | ||||
\(452\) | 5.40082 | 0.254033 | ||||||||
\(453\) | 3.93599 | + | 12.1137i | 0.184929 | + | 0.569153i | ||||
\(454\) | − | 10.2629i | − | 0.481659i | ||||||
\(455\) | −0.390962 | + | 0.284050i | −0.0183286 | + | 0.0133165i | ||||
\(456\) | −1.51228 | + | 1.09873i | −0.0708189 | + | 0.0514529i | ||||
\(457\) | 6.13632 | − | 1.99381i | 0.287045 | − | 0.0932666i | −0.161955 | − | 0.986798i | \(-0.551780\pi\) |
0.449001 | + | 0.893531i | \(0.351780\pi\) | |||||||
\(458\) | 1.88843 | + | 0.613587i | 0.0882404 | + | 0.0286710i | ||||
\(459\) | 6.39678 | + | 4.64753i | 0.298576 | + | 0.216928i | ||||
\(460\) | 1.05956 | 0.0494022 | ||||||||
\(461\) | −15.4789 | − | 11.2461i | −0.720925 | − | 0.523783i | 0.165754 | − | 0.986167i | \(-0.446994\pi\) |
−0.886680 | + | 0.462384i | \(0.846994\pi\) | |||||||
\(462\) | 1.04021 | − | 1.43172i | 0.0483948 | − | 0.0666097i | ||||
\(463\) | 19.6868 | + | 27.0966i | 0.914924 | + | 1.25929i | 0.965457 | + | 0.260563i | \(0.0839082\pi\) |
−0.0505325 | + | 0.998722i | \(0.516092\pi\) | |||||||
\(464\) | −1.37557 | + | 0.446950i | −0.0638593 | + | 0.0207491i | ||||
\(465\) | 0.696106i | 0.0322812i | ||||||||
\(466\) | 3.34140 | + | 4.59905i | 0.154788 | + | 0.213047i | ||||
\(467\) | 9.31355 | − | 28.6642i | 0.430980 | − | 1.32642i | −0.466171 | − | 0.884695i | \(-0.654367\pi\) |
0.897151 | − | 0.441725i | \(-0.145633\pi\) | |||||||
\(468\) | −7.78469 | + | 10.7147i | −0.359848 | + | 0.495288i | ||||
\(469\) | −3.95620 | − | 12.1759i | −0.182680 | − | 0.562233i | ||||
\(470\) | 0.188850 | + | 0.0613612i | 0.00871102 | + | 0.00283038i | ||||
\(471\) | −4.50007 | + | 13.8498i | −0.207352 | + | 0.638164i | ||||
\(472\) | 9.59250 | − | 29.5227i | 0.441531 | − | 1.35889i | ||||
\(473\) | 37.3787 | + | 12.1451i | 1.71868 | + | 0.558432i | ||||
\(474\) | 1.53549 | + | 4.72575i | 0.0705274 | + | 0.217061i | ||||
\(475\) | −3.46306 | + | 4.76650i | −0.158896 | + | 0.218702i | ||||
\(476\) | 0.993874 | − | 3.05883i | 0.0455541 | − | 0.140201i | ||||
\(477\) | 2.33470 | + | 3.21344i | 0.106899 | + | 0.147134i | ||||
\(478\) | − | 14.7639i | − | 0.675285i | ||||||
\(479\) | 22.2327 | − | 7.22384i | 1.01584 | − | 0.330065i | 0.246661 | − | 0.969102i | \(-0.420667\pi\) |
0.769176 | + | 0.639036i | \(0.220667\pi\) | |||||||
\(480\) | −0.359104 | − | 0.494264i | −0.0163908 | − | 0.0225600i | ||||
\(481\) | −3.32073 | + | 4.57059i | −0.151412 | + | 0.208401i | ||||
\(482\) | 8.92641 | + | 6.48541i | 0.406587 | + | 0.295402i | ||||
\(483\) | 3.23963 | 0.147408 | ||||||||
\(484\) | −8.30309 | − | 6.03254i | −0.377413 | − | 0.274207i | ||||
\(485\) | −0.237421 | − | 0.0771428i | −0.0107807 | − | 0.00350287i | ||||
\(486\) | −8.26268 | + | 2.68471i | −0.374803 | + | 0.121781i | ||||
\(487\) | −13.8269 | + | 10.0458i | −0.626555 | + | 0.455219i | −0.855205 | − | 0.518290i | \(-0.826569\pi\) |
0.228650 | + | 0.973509i | \(0.426569\pi\) | |||||||
\(488\) | 24.0390 | − | 17.4653i | 1.08819 | − | 0.790619i | ||||
\(489\) | − | 2.81383i | − | 0.127246i | ||||||
\(490\) | 0.0256361 | + | 0.0788997i | 0.00115812 | + | 0.00356432i | ||||
\(491\) | −16.3783 | −0.739141 | −0.369571 | − | 0.929203i | \(-0.620495\pi\) | ||||
−0.369571 | + | 0.929203i | \(0.620495\pi\) | |||||||
\(492\) | −7.70809 | + | 3.05088i | −0.347507 | + | 0.137544i | ||||
\(493\) | 1.23762 | 0.0557395 | ||||||||
\(494\) | 0.664279 | + | 2.04444i | 0.0298873 | + | 0.0919837i | ||||
\(495\) | 1.48091i | 0.0665617i | ||||||||
\(496\) | 11.0047 | − | 7.99541i | 0.494127 | − | 0.359005i | ||||
\(497\) | 3.35299 | − | 2.43609i | 0.150402 | − | 0.109274i | ||||
\(498\) | −0.0977800 | + | 0.0317706i | −0.00438163 | + | 0.00142368i | ||||
\(499\) | −16.4134 | − | 5.33304i | −0.734765 | − | 0.238740i | −0.0823521 | − | 0.996603i | \(-0.526243\pi\) |
−0.652413 | + | 0.757864i | \(0.726243\pi\) | |||||||
\(500\) | −2.02469 | − | 1.47102i | −0.0905470 | − | 0.0657862i | ||||
\(501\) | 9.86039 | 0.440530 | ||||||||
\(502\) | 9.16750 | + | 6.66058i | 0.409166 | + | 0.297276i | ||||
\(503\) | −3.53426 | + | 4.86449i | −0.157585 | + | 0.216897i | −0.880508 | − | 0.474032i | \(-0.842798\pi\) |
0.722923 | + | 0.690929i | \(0.242798\pi\) | |||||||
\(504\) | 2.91960 | + | 4.01849i | 0.130049 | + | 0.178998i | ||||
\(505\) | 2.14335 | − | 0.696418i | 0.0953779 | − | 0.0309902i | ||||
\(506\) | 9.74839i | 0.433369i | ||||||||
\(507\) | 1.09089 | + | 1.50148i | 0.0484482 | + | 0.0666833i | ||||
\(508\) | 1.76473 | − | 5.43128i | 0.0782972 | − | 0.240974i | ||||
\(509\) | −16.9152 | + | 23.2818i | −0.749754 | + | 1.03195i | 0.248244 | + | 0.968698i | \(0.420147\pi\) |
−0.997998 | + | 0.0632503i | \(0.979853\pi\) | |||||||
\(510\) | 0.0374547 | + | 0.115274i | 0.00165852 | + | 0.00510441i | ||||
\(511\) | −2.99438 | − | 0.972934i | −0.132464 | − | 0.0430401i | ||||
\(512\) | −6.52302 | + | 20.0758i | −0.288280 | + | 0.887233i | ||||
\(513\) | 1.51794 | − | 4.67175i | 0.0670189 | − | 0.206263i | ||||
\(514\) | −7.02640 | − | 2.28302i | −0.309921 | − | 0.100699i | ||||
\(515\) | −0.00686364 | − | 0.0211241i | −0.000302448 | − | 0.000930839i | ||||
\(516\) | 7.23700 | − | 9.96088i | 0.318591 | − | 0.438503i | ||||
\(517\) | 3.05675 | − | 9.40772i | 0.134436 | − | 0.413751i | ||||
\(518\) | 0.570067 | + | 0.784630i | 0.0250473 | + | 0.0344747i | ||||
\(519\) | 6.21107i | 0.272636i | ||||||||
\(520\) | −0.946524 | + | 0.307544i | −0.0415078 | + | 0.0134867i | ||||
\(521\) | 8.43736 | + | 11.6130i | 0.369648 | + | 0.508776i | 0.952805 | − | 0.303583i | \(-0.0981829\pi\) |
−0.583157 | + | 0.812359i | \(0.698183\pi\) | |||||||
\(522\) | −0.514246 | + | 0.707800i | −0.0225080 | + | 0.0309795i | ||||
\(523\) | −2.67294 | − | 1.94201i | −0.116880 | − | 0.0849180i | 0.527810 | − | 0.849363i | \(-0.323013\pi\) |
−0.644690 | + | 0.764445i | \(0.723013\pi\) | |||||||
\(524\) | −18.1154 | −0.791377 | ||||||||
\(525\) | −3.08843 | − | 2.24388i | −0.134790 | − | 0.0979308i | ||||
\(526\) | −16.3919 | − | 5.32605i | −0.714721 | − | 0.232227i | ||||
\(527\) | −11.0698 | + | 3.59678i | −0.482206 | + | 0.156678i | ||||
\(528\) | −5.70872 | + | 4.14763i | −0.248440 | + | 0.180502i | ||||
\(529\) | 4.17011 | − | 3.02976i | 0.181309 | − | 0.131729i | ||||
\(530\) | 0.136624i | 0.00593455i | ||||||||
\(531\) | 11.2341 | + | 34.5751i | 0.487520 | + | 1.50043i | ||||
\(532\) | −1.99811 | −0.0866290 | ||||||||
\(533\) | 1.30549 | + | 20.7863i | 0.0565471 | + | 0.900356i | ||||
\(534\) | 0.777890 | 0.0336626 | ||||||||
\(535\) | 0.351458 | + | 1.08168i | 0.0151948 | + | 0.0467649i | ||||
\(536\) | − | 26.3660i | − | 1.13884i | ||||||
\(537\) | 6.33329 | − | 4.60140i | 0.273301 | − | 0.198565i | ||||
\(538\) | 8.72813 | − | 6.34136i | 0.376296 | − | 0.273395i | ||||
\(539\) | 3.93045 | − | 1.27708i | 0.169296 | − | 0.0550077i | ||||
\(540\) | 0.990028 | + | 0.321680i | 0.0426040 | + | 0.0138429i | ||||
\(541\) | 19.7436 | + | 14.3446i | 0.848843 | + | 0.616721i | 0.924827 | − | 0.380388i | \(-0.124210\pi\) |
−0.0759837 | + | 0.997109i | \(0.524210\pi\) | |||||||
\(542\) | −1.01809 | −0.0437308 | ||||||||
\(543\) | −10.2178 | − | 7.42365i | −0.438487 | − | 0.318579i | ||||
\(544\) | 6.00450 | − | 8.26448i | 0.257441 | − | 0.354337i | ||||
\(545\) | −0.504024 | − | 0.693730i | −0.0215900 | − | 0.0297161i | ||||
\(546\) | −1.32468 | + | 0.430416i | −0.0566913 | + | 0.0184201i | ||||
\(547\) | − | 33.3426i | − | 1.42563i | −0.701353 | − | 0.712814i | \(-0.747420\pi\) | ||
0.701353 | − | 0.712814i | \(-0.252580\pi\) | |||||||
\(548\) | −9.98336 | − | 13.7409i | −0.426468 | − | 0.586983i | ||||
\(549\) | −10.7535 | + | 33.0957i | −0.458946 | + | 1.41249i | ||||
\(550\) | 6.75206 | − | 9.29341i | 0.287909 | − | 0.396272i | ||||
\(551\) | −0.237596 | − | 0.731244i | −0.0101219 | − | 0.0311521i | ||||
\(552\) | 6.34528 | + | 2.06171i | 0.270073 | + | 0.0877521i | ||||
\(553\) | −3.58577 | + | 11.0359i | −0.152482 | + | 0.469292i | ||||
\(554\) | 3.30457 | − | 10.1704i | 0.140398 | − | 0.432100i | ||||
\(555\) | 0.188212 | + | 0.0611538i | 0.00798916 | + | 0.00259583i | ||||
\(556\) | −10.1052 | − | 31.1007i | −0.428557 | − | 1.31896i | ||||
\(557\) | −5.99278 | + | 8.24835i | −0.253922 | + | 0.349494i | −0.916880 | − | 0.399163i | \(-0.869301\pi\) |
0.662958 | + | 0.748657i | \(0.269301\pi\) | |||||||
\(558\) | 2.54261 | − | 7.82536i | 0.107637 | − | 0.331274i | ||||
\(559\) | −18.1820 | − | 25.0254i | −0.769018 | − | 1.05846i | ||||
\(560\) | − | 0.330788i | − | 0.0139783i | ||||||
\(561\) | 5.74245 | − | 1.86583i | 0.242446 | − | 0.0787756i | ||||
\(562\) | 5.74532 | + | 7.90775i | 0.242352 | + | 0.333568i | ||||
\(563\) | −25.4023 | + | 34.9633i | −1.07058 | + | 1.47353i | −0.201092 | + | 0.979572i | \(0.564449\pi\) |
−0.869488 | + | 0.493954i | \(0.835551\pi\) | |||||||
\(564\) | −2.50702 | − | 1.82146i | −0.105565 | − | 0.0766971i | ||||
\(565\) | −0.475302 | −0.0199961 | ||||||||
\(566\) | −3.40176 | − | 2.47153i | −0.142987 | − | 0.103886i | ||||
\(567\) | −3.85447 | − | 1.25239i | −0.161873 | − | 0.0525956i | ||||
\(568\) | 8.11764 | − | 2.63758i | 0.340609 | − | 0.110670i | ||||
\(569\) | −2.12942 | + | 1.54711i | −0.0892700 | + | 0.0648584i | −0.631525 | − | 0.775356i | \(-0.717571\pi\) |
0.542255 | + | 0.840214i | \(0.317571\pi\) | |||||||
\(570\) | 0.0609189 | − | 0.0442601i | 0.00255161 | − | 0.00185385i | ||||
\(571\) | 2.10068i | 0.0879106i | 0.999033 | + | 0.0439553i | \(0.0139959\pi\) | ||||
−0.999033 | + | 0.0439553i | \(0.986004\pi\) | |||||||
\(572\) | 7.01269 | + | 21.5828i | 0.293215 | + | 0.902423i | ||||
\(573\) | −15.0371 | −0.628185 | ||||||||
\(574\) | 3.46298 | + | 0.889545i | 0.144542 | + | 0.0371289i | ||||
\(575\) | 21.0287 | 0.876957 | ||||||||
\(576\) | −1.08726 | − | 3.34624i | −0.0453025 | − | 0.139427i | ||||
\(577\) | − | 10.7672i | − | 0.448244i | −0.974561 | − | 0.224122i | \(-0.928049\pi\) | ||
0.974561 | − | 0.224122i | \(-0.0719513\pi\) | |||||||
\(578\) | 6.04003 | − | 4.38834i | 0.251232 | − | 0.182531i | ||||
\(579\) | 1.88493 | − | 1.36948i | 0.0783352 | − | 0.0569139i | ||||
\(580\) | 0.154964 | − | 0.0503508i | 0.00643452 | − | 0.00209070i | ||||
\(581\) | −0.228341 | − | 0.0741926i | −0.00947320 | − | 0.00307803i | ||||
\(582\) | −0.582104 | − | 0.422923i | −0.0241290 | − | 0.0175307i | ||||
\(583\) | 6.80601 | 0.281876 | ||||||||
\(584\) | −5.24575 | − | 3.81126i | −0.217071 | − | 0.157711i | ||||
\(585\) | 0.685096 | − | 0.942954i | 0.0283252 | − | 0.0389863i | ||||
\(586\) | 9.02379 | + | 12.4202i | 0.372769 | + | 0.513073i | ||||
\(587\) | 8.91161 | − | 2.89556i | 0.367822 | − | 0.119512i | −0.119274 | − | 0.992861i | \(-0.538057\pi\) |
0.487095 | + | 0.873349i | \(0.338057\pi\) | |||||||
\(588\) | − | 1.29466i | − | 0.0533911i | ||||||
\(589\) | 4.25031 | + | 5.85005i | 0.175131 | + | 0.241047i | ||||
\(590\) | −0.386413 | + | 1.18926i | −0.0159084 | + | 0.0489610i | ||||
\(591\) | −1.83649 | + | 2.52771i | −0.0755432 | + | 0.103976i | ||||
\(592\) | −1.19501 | − | 3.67785i | −0.0491144 | − | 0.151159i | ||||
\(593\) | −14.9873 | − | 4.86968i | −0.615457 | − | 0.199974i | −0.0153346 | − | 0.999882i | \(-0.504881\pi\) |
−0.600122 | + | 0.799908i | \(0.704881\pi\) | |||||||
\(594\) | −2.95959 | + | 9.10868i | −0.121433 | + | 0.373734i | ||||
\(595\) | −0.0874664 | + | 0.269194i | −0.00358577 | + | 0.0110359i | ||||
\(596\) | −14.4535 | − | 4.69624i | −0.592040 | − | 0.192365i | ||||
\(597\) | 0.778234 | + | 2.39516i | 0.0318510 | + | 0.0980273i | ||||
\(598\) | 4.50980 | − | 6.20720i | 0.184419 | − | 0.253831i | ||||
\(599\) | −9.30999 | + | 28.6532i | −0.380396 | + | 1.17074i | 0.559369 | + | 0.828919i | \(0.311043\pi\) |
−0.939765 | + | 0.341820i | \(0.888957\pi\) | |||||||
\(600\) | −4.62112 | − | 6.36043i | −0.188657 | − | 0.259664i | ||||
\(601\) | 21.4057i | 0.873158i | 0.899666 | + | 0.436579i | \(0.143810\pi\) | ||||
−0.899666 | + | 0.436579i | \(0.856190\pi\) | |||||||
\(602\) | −5.05036 | + | 1.64096i | −0.205837 | + | 0.0668806i | ||||
\(603\) | 18.1498 | + | 24.9810i | 0.739116 | + | 1.01731i | ||||
\(604\) | −16.4810 | + | 22.6842i | −0.670604 | + | 0.923007i | ||||
\(605\) | 0.730717 | + | 0.530897i | 0.0297079 | + | 0.0215840i | ||||
\(606\) | 6.49557 | 0.263864 | ||||||||
\(607\) | −17.6755 | − | 12.8420i | −0.717425 | − | 0.521240i | 0.168135 | − | 0.985764i | \(-0.446225\pi\) |
−0.885560 | + | 0.464524i | \(0.846225\pi\) | |||||||
\(608\) | −6.03579 | − | 1.96115i | −0.244784 | − | 0.0795350i | ||||
\(609\) | 0.473806 | − | 0.153949i | 0.0191996 | − | 0.00623833i | ||||
\(610\) | −0.968359 | + | 0.703554i | −0.0392077 | + | 0.0284861i | ||||
\(611\) | −6.29856 | + | 4.57617i | −0.254812 | + | 0.185132i | ||||
\(612\) | 7.75721i | 0.313566i | ||||||||
\(613\) | 12.8075 | + | 39.4176i | 0.517292 | + | 1.59206i | 0.779073 | + | 0.626933i | \(0.215690\pi\) |
−0.261781 | + | 0.965127i | \(0.584310\pi\) | |||||||
\(614\) | 2.62629 | 0.105989 | ||||||||
\(615\) | 0.678354 | − | 0.268494i | 0.0273539 | − | 0.0108267i | ||||
\(616\) | 8.51107 | 0.342921 | ||||||||
\(617\) | 10.1576 | + | 31.2620i | 0.408931 | + | 1.25856i | 0.917568 | + | 0.397579i | \(0.130150\pi\) |
−0.508637 | + | 0.860981i | \(0.669850\pi\) | |||||||
\(618\) | − | 0.0640179i | − | 0.00257518i | ||||||
\(619\) | 24.5995 | − | 17.8726i | 0.988738 | − | 0.718360i | 0.0290939 | − | 0.999577i | \(-0.490738\pi\) |
0.959644 | + | 0.281216i | \(0.0907378\pi\) | |||||||
\(620\) | −1.23973 | + | 0.900716i | −0.0497887 | + | 0.0361736i | ||||
\(621\) | −16.6744 | + | 5.41784i | −0.669121 | + | 0.217411i | ||||
\(622\) | −4.80707 | − | 1.56191i | −0.192746 | − | 0.0626269i | ||||
\(623\) | 1.46964 | + | 1.06776i | 0.0588798 | + | 0.0427787i | ||||
\(624\) | 5.55375 | 0.222328 | ||||||||
\(625\) | −19.9580 | − | 14.5003i | −0.798318 | − | 0.580012i | ||||
\(626\) | −8.54465 | + | 11.7607i | −0.341513 | + | 0.470052i | ||||
\(627\) | −2.20485 | − | 3.03472i | −0.0880533 | − | 0.121195i | ||||
\(628\) | −30.4885 | + | 9.90633i | −1.21663 | + | 0.395305i | ||||
\(629\) | 3.30900i | 0.131939i | ||||||||
\(630\) | −0.117610 | − | 0.161876i | −0.00468569 | − | 0.00644930i | ||||
\(631\) | 9.67705 | − | 29.7829i | 0.385237 | − | 1.18564i | −0.551071 | − | 0.834458i | \(-0.685781\pi\) |
0.936308 | − | 0.351180i | \(-0.114219\pi\) | |||||||
\(632\) | −14.0465 | + | 19.3333i | −0.558738 | + | 0.769037i | ||||
\(633\) | 6.54462 | + | 20.1423i | 0.260125 | + | 0.800583i | ||||
\(634\) | 16.7896 | + | 5.45526i | 0.666799 | + | 0.216656i | ||||
\(635\) | −0.155306 | + | 0.477983i | −0.00616313 | + | 0.0189682i | ||||
\(636\) | 0.658865 | − | 2.02778i | 0.0261257 | − | 0.0804066i | ||||
\(637\) | −3.09348 | − | 1.00513i | −0.122568 | − | 0.0398248i | ||||
\(638\) | 0.463249 | + | 1.42573i | 0.0183402 | + | 0.0564453i | ||||
\(639\) | −5.87557 | + | 8.08703i | −0.232434 | + | 0.319918i | ||||
\(640\) | 0.529757 | − | 1.63043i | 0.0209405 | − | 0.0644482i | ||||
\(641\) | 9.99752 | + | 13.7604i | 0.394878 | + | 0.543503i | 0.959449 | − | 0.281881i | \(-0.0909584\pi\) |
−0.564571 | + | 0.825384i | \(0.690958\pi\) | |||||||
\(642\) | 3.27809i | 0.129376i | ||||||||
\(643\) | −12.9716 | + | 4.21472i | −0.511549 | + | 0.166212i | −0.553407 | − | 0.832911i | \(-0.686672\pi\) |
0.0418575 | + | 0.999124i | \(0.486672\pi\) | |||||||
\(644\) | 4.19187 | + | 5.76962i | 0.165183 | + | 0.227355i | ||||
\(645\) | −0.636896 | + | 0.876612i | −0.0250778 | + | 0.0345166i | ||||
\(646\) | 1.01861 | + | 0.740063i | 0.0400767 | + | 0.0291174i | ||||
\(647\) | −29.4421 | −1.15749 | −0.578744 | − | 0.815509i | \(-0.696457\pi\) | ||||
−0.578744 | + | 0.815509i | \(0.696457\pi\) | |||||||
\(648\) | −6.75250 | − | 4.90598i | −0.265263 | − | 0.192725i | ||||
\(649\) | 59.2437 | + | 19.2495i | 2.32552 | + | 0.755607i | ||||
\(650\) | −8.59863 | + | 2.79386i | −0.337266 | + | 0.109584i | ||||
\(651\) | −3.79051 | + | 2.75397i | −0.148562 | + | 0.107936i | ||||
\(652\) | 5.01128 | − | 3.64091i | 0.196257 | − | 0.142589i | ||||
\(653\) | 20.0842i | 0.785955i | 0.919548 | + | 0.392977i | \(0.128555\pi\) | ||||
−0.919548 | + | 0.392977i | \(0.871445\pi\) | |||||||
\(654\) | −0.763739 | − | 2.35055i | −0.0298646 | − | 0.0919137i | ||||
\(655\) | 1.59426 | 0.0622928 | ||||||||
\(656\) | −12.0361 | − | 7.64020i | −0.469932 | − | 0.298300i | ||||
\(657\) | 7.59377 | 0.296261 | ||||||||
\(658\) | 0.413008 | + | 1.27111i | 0.0161007 | + | 0.0495529i | ||||
\(659\) | 14.5001i | 0.564843i | 0.959290 | + | 0.282422i | \(0.0911377\pi\) | ||||
−0.959290 | + | 0.282422i | \(0.908862\pi\) | |||||||
\(660\) | 0.643111 | − | 0.467248i | 0.0250331 | − | 0.0181876i | ||||
\(661\) | 4.72043 | − | 3.42959i | 0.183603 | − | 0.133396i | −0.492187 | − | 0.870489i | \(-0.663802\pi\) |
0.675790 | + | 0.737094i | \(0.263802\pi\) | |||||||
\(662\) | −2.77413 | + | 0.901368i | −0.107819 | + | 0.0350327i | ||||
\(663\) | −4.51963 | − | 1.46852i | −0.175528 | − | 0.0570324i | ||||
\(664\) | −0.400023 | − | 0.290634i | −0.0155239 | − | 0.0112788i | ||||
\(665\) | 0.175845 | 0.00681896 | ||||||||
\(666\) | −1.89244 | − | 1.37494i | −0.0733304 | − | 0.0532777i | ||||
\(667\) | −1.61304 | + | 2.22016i | −0.0624572 | + | 0.0859650i | ||||
\(668\) | 12.7587 | + | 17.5609i | 0.493649 | + | 0.679450i | ||||
\(669\) | −7.26515 | + | 2.36059i | −0.280887 | + | 0.0912658i | ||||
\(670\) | 1.06210i | 0.0410325i | ||||||||
\(671\) | 35.0480 | + | 48.2395i | 1.35301 | + | 1.86226i | ||||
\(672\) | 1.27072 | − | 3.91086i | 0.0490189 | − | 0.150865i | ||||
\(673\) | 8.58556 | − | 11.8170i | 0.330949 | − | 0.455512i | −0.610822 | − | 0.791768i | \(-0.709161\pi\) |
0.941771 | + | 0.336256i | \(0.109161\pi\) | |||||||
\(674\) | −3.20538 | − | 9.86515i | −0.123467 | − | 0.379991i | ||||
\(675\) | 19.6488 | + | 6.38427i | 0.756281 | + | 0.245731i | ||||
\(676\) | −1.26252 | + | 3.88565i | −0.0485586 | + | 0.149448i | ||||
\(677\) | 9.68856 | − | 29.8183i | 0.372362 | − | 1.14601i | −0.572880 | − | 0.819639i | \(-0.694174\pi\) |
0.945241 | − | 0.326372i | \(-0.105826\pi\) | |||||||
\(678\) | −1.30288 | − | 0.423333i | −0.0500370 | − | 0.0162580i | ||||
\(679\) | −0.519230 | − | 1.59803i | −0.0199262 | − | 0.0613266i | ||||
\(680\) | −0.342631 | + | 0.471591i | −0.0131393 | + | 0.0180847i | ||||
\(681\) | 4.35561 | − | 13.4052i | 0.166907 | − | 0.513688i | ||||
\(682\) | −8.28698 | − | 11.4060i | −0.317325 | − | 0.436760i | ||||
\(683\) | − | 34.3011i | − | 1.31249i | −0.754546 | − | 0.656247i | \(-0.772143\pi\) | ||
0.754546 | − | 0.656247i | \(-0.227857\pi\) | |||||||
\(684\) | 4.58333 | − | 1.48922i | 0.175248 | − | 0.0569416i | ||||
\(685\) | 0.878591 | + | 1.20928i | 0.0335692 | + | 0.0462041i | ||||
\(686\) | −0.328210 | + | 0.451743i | −0.0125311 | + | 0.0172476i | ||||
\(687\) | 2.20622 | + | 1.60292i | 0.0841727 | + | 0.0611551i | ||||
\(688\) | 21.1737 | 0.807239 | ||||||||
\(689\) | −4.33367 | − | 3.14859i | −0.165100 | − | 0.119952i | ||||
\(690\) | −0.255606 | − | 0.0830514i | −0.00973075 | − | 0.00316171i | ||||
\(691\) | −32.8406 | + | 10.6706i | −1.24932 | + | 0.405928i | −0.857676 | − | 0.514190i | \(-0.828092\pi\) |
−0.391641 | + | 0.920118i | \(0.628092\pi\) | |||||||
\(692\) | −11.0616 | + | 8.03672i | −0.420499 | + | 0.305510i | ||||
\(693\) | −8.06398 | + | 5.85882i | −0.306325 | + | 0.222558i | ||||
\(694\) | − | 1.52191i | − | 0.0577710i | ||||||
\(695\) | 0.889316 | + | 2.73703i | 0.0337337 | + | 0.103822i | ||||
\(696\) | 1.02599 | 0.0388901 | ||||||||
\(697\) | 7.77475 | + | 9.40015i | 0.294490 | + | 0.356056i | ||||
\(698\) | −15.5468 | −0.588454 | ||||||||
\(699\) | 2.41263 | + | 7.42531i | 0.0912541 | + | 0.280851i | ||||
\(700\) | − | 8.40377i | − | 0.317633i | ||||||
\(701\) | −11.0376 | + | 8.01925i | −0.416883 | + | 0.302883i | −0.776382 | − | 0.630262i | \(-0.782947\pi\) |
0.359500 | + | 0.933145i | \(0.382947\pi\) | |||||||
\(702\) | 6.09835 | − | 4.43071i | 0.230167 | − | 0.167226i | ||||
\(703\) | 1.95512 | − | 0.635257i | 0.0737388 | − | 0.0239592i | ||||
\(704\) | −5.73372 | − | 1.86300i | −0.216098 | − | 0.0702144i | ||||
\(705\) | 0.220631 | + | 0.160298i | 0.00830946 | + | 0.00603718i | ||||
\(706\) | −14.0508 | −0.528809 | ||||||||
\(707\) | 12.2718 | + | 8.91601i | 0.461530 | + | 0.335321i | ||||
\(708\) | 11.4704 | − | 15.7876i | 0.431082 | − | 0.593334i | ||||
\(709\) | −11.1599 | − | 15.3603i | −0.419119 | − | 0.576868i | 0.546294 | − | 0.837594i | \(-0.316038\pi\) |
−0.965413 | + | 0.260726i | \(0.916038\pi\) | |||||||
\(710\) | −0.327002 | + | 0.106249i | −0.0122722 | + | 0.00398747i | ||||
\(711\) | − | 27.9870i | − | 1.04959i | ||||||
\(712\) | 2.19898 | + | 3.02663i | 0.0824101 | + | 0.113428i | ||||
\(713\) | 7.97544 | − | 24.5459i | 0.298683 | − | 0.919250i | ||||
\(714\) | −0.479521 | + | 0.660004i | −0.0179456 | + | 0.0247000i | ||||
\(715\) | −0.617155 | − | 1.89941i | −0.0230803 | − | 0.0710338i | ||||
\(716\) | 16.3897 | + | 5.32534i | 0.612513 | + | 0.199017i | ||||
\(717\) | 6.26588 | − | 19.2844i | 0.234004 | − | 0.720189i | ||||
\(718\) | 1.90060 | − | 5.84945i | 0.0709298 | − | 0.218299i | ||||
\(719\) | 27.7929 | + | 9.03046i | 1.03650 | + | 0.336779i | 0.777357 | − | 0.629059i | \(-0.216560\pi\) |
0.259143 | + | 0.965839i | \(0.416560\pi\) | |||||||
\(720\) | 0.246540 | + | 0.758773i | 0.00918801 | + | 0.0282778i | ||||
\(721\) | 0.0878729 | − | 0.120947i | 0.00327256 | − | 0.00450429i | ||||
\(722\) | −3.03674 | + | 9.34613i | −0.113016 | + | 0.347827i | ||||
\(723\) | 8.90709 | + | 12.2596i | 0.331258 | + | 0.455938i | ||||
\(724\) | − | 27.8031i | − | 1.03329i | ||||||
\(725\) | 3.07551 | − | 0.999295i | 0.114222 | − | 0.0371129i | ||||
\(726\) | 1.53017 | + | 2.10610i | 0.0567900 | + | 0.0781647i | ||||
\(727\) | 21.8689 | − | 30.1000i | 0.811074 | − | 1.11635i | −0.180083 | − | 0.983651i | \(-0.557637\pi\) |
0.991157 | − | 0.132696i | \(-0.0423635\pi\) | |||||||
\(728\) | −5.41935 | − | 3.93739i | −0.200855 | − | 0.145929i | ||||
\(729\) | 0.226497 | 0.00838876 | ||||||||
\(730\) | 0.211314 | + | 0.153528i | 0.00782107 | + | 0.00568234i | ||||
\(731\) | −17.2311 | − | 5.59872i | −0.637314 | − | 0.207076i | ||||
\(732\) | 17.7653 | − | 5.77230i | 0.656625 | − | 0.213351i | ||||
\(733\) | 30.8461 | − | 22.4110i | 1.13933 | − | 0.827769i | 0.152302 | − | 0.988334i | \(-0.451332\pi\) |
0.987025 | + | 0.160565i | \(0.0513315\pi\) | |||||||
\(734\) | −3.19195 | + | 2.31908i | −0.117817 | + | 0.0855990i | ||||
\(735\) | 0.113938i | 0.00420265i | ||||||||
\(736\) | 6.99972 | + | 21.5429i | 0.258013 | + | 0.794083i | ||||
\(737\) | 52.9093 | 1.94894 | ||||||||
\(738\) | −8.60651 | + | 0.540533i | −0.316810 | + | 0.0198973i | ||||
\(739\) | −27.6304 | −1.01640 | −0.508200 | − | 0.861239i | \(-0.669689\pi\) | ||||
−0.508200 | + | 0.861239i | \(0.669689\pi\) | |||||||
\(740\) | 0.134622 | + | 0.414325i | 0.00494882 | + | 0.0152309i | ||||
\(741\) | 2.95234i | 0.108457i | ||||||||
\(742\) | −0.743957 | + | 0.540517i | −0.0273115 | + | 0.0198430i | ||||
\(743\) | 6.68657 | − | 4.85808i | 0.245306 | − | 0.178226i | −0.458338 | − | 0.888778i | \(-0.651555\pi\) |
0.703644 | + | 0.710553i | \(0.251555\pi\) | |||||||
\(744\) | −9.17688 | + | 2.98175i | −0.336441 | + | 0.109316i | ||||
\(745\) | 1.27199 | + | 0.413295i | 0.0466021 | + | 0.0151420i | ||||
\(746\) | 12.2308 | + | 8.88621i | 0.447802 | + | 0.325347i | ||||
\(747\) | 0.579075 | 0.0211872 | ||||||||
\(748\) | 10.7533 | + | 7.81274i | 0.393180 | + | 0.285662i | ||||
\(749\) | −4.49960 | + | 6.19317i | −0.164412 | + | 0.226294i | ||||
\(750\) | 0.373130 | + | 0.513569i | 0.0136248 | + | 0.0187529i | ||||
\(751\) | −10.4660 | + | 3.40062i | −0.381911 | + | 0.124090i | −0.493679 | − | 0.869644i | \(-0.664348\pi\) |
0.111769 | + | 0.993734i | \(0.464348\pi\) | |||||||
\(752\) | − | 5.32913i | − | 0.194333i | ||||||
\(753\) | 9.14767 | + | 12.5907i | 0.333359 | + | 0.458830i | ||||
\(754\) | 0.364603 | − | 1.12213i | 0.0132780 | − | 0.0408656i | ||||
\(755\) | 1.45042 | − | 1.99634i | 0.0527863 | − | 0.0726541i | ||||
\(756\) | 2.16515 | + | 6.66365i | 0.0787458 | + | 0.242355i | ||||
\(757\) | −27.1689 | − | 8.82770i | −0.987469 | − | 0.320848i | −0.229622 | − | 0.973280i | \(-0.573749\pi\) |
−0.757847 | + | 0.652432i | \(0.773749\pi\) | |||||||
\(758\) | 2.56694 | − | 7.90022i | 0.0932353 | − | 0.286949i | ||||
\(759\) | −4.13727 | + | 12.7332i | −0.150173 | + | 0.462186i | ||||
\(760\) | 0.344416 | + | 0.111908i | 0.0124933 | + | 0.00405932i | ||||
\(761\) | 11.8167 | + | 36.3682i | 0.428356 | + | 1.31834i | 0.899744 | + | 0.436419i | \(0.143753\pi\) |
−0.471387 | + | 0.881926i | \(0.656247\pi\) | |||||||
\(762\) | −0.851440 | + | 1.17191i | −0.0308444 | + | 0.0424537i | ||||
\(763\) | 1.78353 | − | 5.48913i | 0.0645680 | − | 0.198720i | ||||
\(764\) | −19.4571 | − | 26.7803i | −0.703932 | − | 0.968879i | ||||
\(765\) | − | 0.682677i | − | 0.0246822i | ||||||
\(766\) | −1.52507 | + | 0.495525i | −0.0551030 | + | 0.0179040i | ||||
\(767\) | −28.8178 | − | 39.6643i | −1.04055 | − | 1.43219i | ||||
\(768\) | 1.58916 | − | 2.18729i | 0.0573439 | − | 0.0789271i | ||||
\(769\) | −7.12783 | − | 5.17867i | −0.257036 | − | 0.186748i | 0.451803 | − | 0.892118i | \(-0.350781\pi\) |
−0.708839 | + | 0.705370i | \(0.750781\pi\) | |||||||
\(770\) | −0.342850 | −0.0123555 | ||||||||
\(771\) | −8.20885 | − | 5.96408i | −0.295635 | − | 0.214791i | ||||
\(772\) | 4.87797 | + | 1.58495i | 0.175562 | + | 0.0570435i | ||||
\(773\) | −34.8576 | + | 11.3259i | −1.25374 | + | 0.407365i | −0.859260 | − | 0.511539i | \(-0.829076\pi\) |
−0.394481 | + | 0.918904i | \(0.629076\pi\) | |||||||
\(774\) | 10.3617 | − | 7.52820i | 0.372443 | − | 0.270596i | ||||
\(775\) | −24.6045 | + | 17.8762i | −0.883820 | + | 0.642132i | ||||
\(776\) | − | 3.46040i | − | 0.124221i | ||||||
\(777\) | 0.411612 | + | 1.26681i | 0.0147665 | + | 0.0454466i | ||||
\(778\) | −1.42630 | −0.0511354 | ||||||||
\(779\) | 4.06148 | − | 6.39833i | 0.145518 | − | 0.229244i | ||||
\(780\) | −0.625653 | −0.0224020 | ||||||||
\(781\) | 5.29289 | + | 16.2898i | 0.189394 | + | 0.582896i | ||||
\(782\) | − | 4.49387i | − | 0.160701i | ||||||
\(783\) | −2.18123 | + | 1.58475i | −0.0779507 | + | 0.0566345i | ||||
\(784\) | 1.80124 | − | 1.30868i | 0.0643300 | − | 0.0467385i | ||||
\(785\) | 2.68316 | − | 0.871811i | 0.0957661 | − | 0.0311163i | ||||
\(786\) | 4.37014 | + | 1.41994i | 0.155878 | + | 0.0506477i | ||||
\(787\) | 18.9825 | + | 13.7916i | 0.676654 | + | 0.491618i | 0.872246 | − | 0.489068i | \(-0.162663\pi\) |
−0.195592 | + | 0.980685i | \(0.562663\pi\) | |||||||
\(788\) | −6.87803 | −0.245020 | ||||||||
\(789\) | −19.1504 | − | 13.9136i | −0.681774 | − | 0.495338i | ||||
\(790\) | 0.565832 | − | 0.778800i | 0.0201314 | − | 0.0277085i | ||||
\(791\) | −1.88041 | − | 2.58816i | −0.0668597 | − | 0.0920245i | ||||
\(792\) | −19.5230 | + | 6.34341i | −0.693720 | + | 0.225403i | ||||
\(793\) | − | 46.9300i | − | 1.66653i | ||||||
\(794\) | −1.57345 | − | 2.16566i | −0.0558395 | − | 0.0768565i | ||||
\(795\) | −0.0579838 | + | 0.178456i | −0.00205647 | + | 0.00632917i | ||||
\(796\) | −3.25867 | + | 4.48517i | −0.115500 | + | 0.158973i | ||||
\(797\) | 7.37455 | + | 22.6965i | 0.261220 | + | 0.803953i | 0.992540 | + | 0.121918i | \(0.0389046\pi\) |
−0.731320 | + | 0.682034i | \(0.761095\pi\) | |||||||
\(798\) | 0.482020 | + | 0.156618i | 0.0170633 | + | 0.00554421i | ||||
\(799\) | −1.40912 | + | 4.33683i | −0.0498511 | + | 0.153426i | ||||
\(800\) | 8.24832 | − | 25.3857i | 0.291622 | − | 0.897520i | ||||
\(801\) | −4.16692 | − | 1.35392i | −0.147231 | − | 0.0478383i | ||||
\(802\) | 0.649233 | + | 1.99813i | 0.0229252 | + | 0.0705565i | ||||
\(803\) | 7.64813 | − | 10.5267i | 0.269897 | − | 0.371481i | ||||
\(804\) | 5.12196 | − | 15.7638i | 0.180637 | − | 0.555945i | ||||
\(805\) | −0.368908 | − | 0.507758i | −0.0130023 | − | 0.0178961i | ||||
\(806\) | 11.0964i | 0.390855i | ||||||||
\(807\) | 14.0919 | − | 4.57872i | 0.496057 | − | 0.161179i | ||||
\(808\) | 18.3620 | + | 25.2731i | 0.645972 | + | 0.889104i | ||||
\(809\) | 17.9053 | − | 24.6445i | 0.629515 | − | 0.866454i | −0.368487 | − | 0.929633i | \(-0.620124\pi\) |
0.998002 | + | 0.0631794i | \(0.0201240\pi\) | |||||||
\(810\) | 0.272010 | + | 0.197627i | 0.00955746 | + | 0.00694390i | ||||
\(811\) | −0.223920 | −0.00786289 | −0.00393145 | − | 0.999992i | \(-0.501251\pi\) | ||||
−0.00393145 | + | 0.999992i | \(0.501251\pi\) | |||||||
\(812\) | 0.887250 | + | 0.644625i | 0.0311364 | + | 0.0226219i | ||||
\(813\) | −1.32982 | − | 0.432083i | −0.0466387 | − | 0.0151538i | ||||
\(814\) | −3.81197 | + | 1.23858i | −0.133609 | + | 0.0434123i | ||||
\(815\) | −0.441021 | + | 0.320420i | −0.0154483 | + | 0.0112238i | ||||
\(816\) | 2.63164 | − | 1.91200i | 0.0921259 | − | 0.0669334i | ||||
\(817\) | 11.2558i | 0.393790i | ||||||||
\(818\) | −6.14035 | − | 18.8980i | −0.214692 | − | 0.660755i | ||||
\(819\) | 7.84508 | 0.274129 | ||||||||
\(820\) | 1.35592 | + | 0.860700i | 0.0473508 | + | 0.0300570i | ||||
\(821\) | −12.2193 | −0.426457 | −0.213228 | − | 0.977002i | \(-0.568398\pi\) | ||||
−0.213228 | + | 0.977002i | \(0.568398\pi\) | |||||||
\(822\) | 1.33131 | + | 4.09736i | 0.0464349 | + | 0.142912i | ||||
\(823\) | 2.58591i | 0.0901392i | 0.998984 | + | 0.0450696i | \(0.0143510\pi\) | ||||
−0.998984 | + | 0.0450696i | \(0.985649\pi\) | |||||||
\(824\) | 0.249082 | − | 0.180969i | 0.00867719 | − | 0.00630435i | ||||
\(825\) | 12.7636 | − | 9.27330i | 0.444372 | − | 0.322855i | ||||
\(826\) | −8.00462 | + | 2.60086i | −0.278516 | + | 0.0904954i | ||||
\(827\) | −14.7313 | − | 4.78649i | −0.512258 | − | 0.166443i | 0.0414711 | − | 0.999140i | \(-0.486796\pi\) |
−0.553729 | + | 0.832697i | \(0.686796\pi\) | |||||||
\(828\) | −13.9156 | − | 10.1103i | −0.483602 | − | 0.351358i | ||||
\(829\) | 3.35792 | 0.116625 | 0.0583127 | − | 0.998298i | \(-0.481428\pi\) | ||||
0.0583127 | + | 0.998298i | \(0.481428\pi\) | |||||||
\(830\) | 0.0161141 | + | 0.0117075i | 0.000559327 | + | 0.000406375i | ||||
\(831\) | 8.63277 | − | 11.8820i | 0.299467 | − | 0.412182i | ||||
\(832\) | 2.78904 | + | 3.83878i | 0.0966925 | + | 0.133086i | ||||
\(833\) | −1.81188 | + | 0.588716i | −0.0627780 | + | 0.0203978i | ||||
\(834\) | 8.29476i | 0.287224i | ||||||||
\(835\) | −1.12284 | − | 1.54545i | −0.0388574 | − | 0.0534826i | ||||
\(836\) | 2.55174 | − | 7.85345i | 0.0882538 | − | 0.271617i | ||||
\(837\) | 14.9041 | − | 20.5138i | 0.515163 | − | 0.709061i | ||||
\(838\) | −3.29864 | − | 10.1522i | −0.113950 | − | 0.350701i | ||||
\(839\) | −12.0021 | − | 3.89972i | −0.414359 | − | 0.134633i | 0.0944163 | − | 0.995533i | \(-0.469902\pi\) |
−0.508775 | + | 0.860899i | \(0.669902\pi\) | |||||||
\(840\) | −0.0725101 | + | 0.223163i | −0.00250184 | + | 0.00769986i | ||||
\(841\) | 8.83108 | − | 27.1793i | 0.304520 | − | 0.937217i | ||||
\(842\) | −2.13958 | − | 0.695190i | −0.0737347 | − | 0.0239578i | ||||
\(843\) | 4.14836 | + | 12.7673i | 0.142877 | + | 0.439730i | ||||
\(844\) | −27.4040 | + | 37.7184i | −0.943285 | + | 1.29832i | ||||
\(845\) | 0.111109 | − | 0.341958i | 0.00382227 | − | 0.0117637i | ||||
\(846\) | −1.89475 | − | 2.60789i | −0.0651427 | − | 0.0896613i | ||||
\(847\) | 6.07934i | 0.208889i | ||||||||
\(848\) | 3.48720 | − | 1.13306i | 0.119751 | − | 0.0389094i | ||||
\(849\) | −3.39440 | − | 4.67199i | −0.116496 | − | 0.160342i | ||||
\(850\) | −3.11261 | + | 4.28413i | −0.106761 | + | 0.146945i | ||||
\(851\) | −5.93602 | − | 4.31277i | −0.203484 | − | 0.147840i | ||||
\(852\) | 5.36577 | 0.183828 | ||||||||
\(853\) | −23.9983 | − | 17.4358i | −0.821686 | − | 0.596990i | 0.0955090 | − | 0.995429i | \(-0.469552\pi\) |
−0.917195 | + | 0.398439i | \(0.869552\pi\) | |||||||
\(854\) | −7.66213 | − | 2.48958i | −0.262193 | − | 0.0851915i | ||||
\(855\) | −0.403359 | + | 0.131059i | −0.0137946 | + | 0.00448213i | ||||
\(856\) | −12.7545 | + | 9.26665i | −0.435938 | + | 0.316728i | ||||
\(857\) | −17.2767 | + | 12.5523i | −0.590161 | + | 0.428777i | −0.842373 | − | 0.538895i | \(-0.818842\pi\) |
0.252212 | + | 0.967672i | \(0.418842\pi\) | |||||||
\(858\) | − | 5.75628i | − | 0.196516i | ||||||
\(859\) | 2.32326 | + | 7.15024i | 0.0792684 | + | 0.243963i | 0.982836 | − | 0.184483i | \(-0.0590611\pi\) |
−0.903567 | + | 0.428446i | \(0.859061\pi\) | |||||||
\(860\) | −2.38530 | −0.0813382 | ||||||||
\(861\) | 4.14577 | + | 2.63162i | 0.141287 | + | 0.0896853i | ||||
\(862\) | 4.84520 | 0.165028 | ||||||||
\(863\) | −13.8338 | − | 42.5762i | −0.470909 | − | 1.44931i | −0.851396 | − | 0.524523i | \(-0.824244\pi\) |
0.380487 | − | 0.924786i | \(-0.375756\pi\) | |||||||
\(864\) | 22.2543i | 0.757108i | ||||||||
\(865\) | 0.973482 | − | 0.707276i | 0.0330994 | − | 0.0240481i | ||||
\(866\) | −2.80395 | + | 2.03719i | −0.0952821 | + | 0.0692265i | ||||
\(867\) | 9.75182 | − | 3.16856i | 0.331189 | − | 0.107610i | ||||
\(868\) | −9.80935 | − | 3.18725i | −0.332951 | − | 0.108182i | ||||
\(869\) | −38.7965 | − | 28.1873i | −1.31608 | − | 0.956189i | ||||
\(870\) | −0.0413298 | −0.00140121 | ||||||||
\(871\) | −33.6895 | − | 24.4769i | −1.14153 | − | 0.829367i | ||||
\(872\) | 6.98658 | − | 9.61620i | 0.236596 | − | 0.325646i | ||||
\(873\) | 2.38206 | + | 3.27862i | 0.0806205 | + | 0.110965i | ||||
\(874\) | −2.65520 | + | 0.862727i | −0.0898135 | + | 0.0291822i | ||||
\(875\) | 1.48244i | 0.0501155i | ||||||||
\(876\) | −2.39595 | − | 3.29774i | −0.0809515 | − | 0.111420i | ||||
\(877\) | −5.01339 | + | 15.4296i | −0.169290 | + | 0.521021i | −0.999327 | − | 0.0366875i | \(-0.988319\pi\) |
0.830037 | + | 0.557709i | \(0.188319\pi\) | |||||||
\(878\) | −8.66927 | + | 11.9322i | −0.292574 | + | 0.402693i | ||||
\(879\) | 6.51555 | + | 20.0528i | 0.219764 | + | 0.676364i | ||||
\(880\) | 1.30014 | + | 0.422442i | 0.0438278 | + | 0.0142405i | ||||
\(881\) | 9.74760 | − | 30.0000i | 0.328405 | − | 1.01073i | −0.641475 | − | 0.767144i | \(-0.721677\pi\) |
0.969880 | − | 0.243583i | \(-0.0783228\pi\) | |||||||
\(882\) | 0.416171 | − | 1.28084i | 0.0140132 | − | 0.0431283i | ||||
\(883\) | 30.2902 | + | 9.84188i | 1.01935 | + | 0.331206i | 0.770570 | − | 0.637356i | \(-0.219972\pi\) |
0.248776 | + | 0.968561i | \(0.419972\pi\) | |||||||
\(884\) | −3.23275 | − | 9.94939i | −0.108729 | − | 0.334634i | ||||
\(885\) | −1.00945 | + | 1.38939i | −0.0339324 | + | 0.0467040i | ||||
\(886\) | −5.89355 | + | 18.1385i | −0.197998 | + | 0.609374i | ||||
\(887\) | −14.3421 | − | 19.7402i | −0.481561 | − | 0.662811i | 0.497243 | − | 0.867611i | \(-0.334346\pi\) |
−0.978804 | + | 0.204800i | \(0.934346\pi\) | |||||||
\(888\) | 2.74318i | 0.0920551i | ||||||||
\(889\) | −3.21719 | + | 1.04533i | −0.107901 | + | 0.0350592i | ||||
\(890\) | −0.0885810 | − | 0.121921i | −0.00296924 | − | 0.00408681i | ||||
\(891\) | 9.84493 | − | 13.5504i | 0.329818 | − | 0.453955i | ||||
\(892\) | −13.6047 | − | 9.88442i | −0.455520 | − | 0.330955i | ||||
\(893\) | 2.83293 | 0.0948004 | ||||||||
\(894\) | 3.11864 | + | 2.26582i | 0.104303 | + | 0.0757805i | ||||
\(895\) | −1.44239 | − | 0.468660i | −0.0482136 | − | 0.0156656i | ||||
\(896\) | 10.9740 | − | 3.56567i | 0.366616 | − | 0.119121i | ||||
\(897\) | 8.52500 | − | 6.19377i | 0.284641 | − | 0.206804i | ||||
\(898\) | 7.49546 | − | 5.44577i | 0.250127 | − | 0.181728i | ||||
\(899\) | − | 3.96891i | − | 0.132371i | ||||||
\(900\) | 6.26344 | + | 19.2769i | 0.208781 | + | 0.642563i | ||||
\(901\) | −3.13747 | −0.104524 | ||||||||
\(902\) | −7.91881 | + | 12.4750i | −0.263668 | + | 0.415374i | ||||
\(903\) | −7.29314 | −0.242700 | ||||||||
\(904\) | −2.03594 | − | 6.26598i | −0.0677144 | − | 0.208404i | ||||
\(905\) | 2.44682i | 0.0813351i | ||||||||
\(906\) | 5.75391 | − | 4.18046i | 0.191161 | − | 0.138887i | ||||
\(907\) | −11.3907 | + | 8.27583i | −0.378222 | + | 0.274795i | −0.760612 | − | 0.649206i | \(-0.775101\pi\) |
0.382390 | + | 0.924001i | \(0.375101\pi\) | |||||||
\(908\) | 29.5098 | − | 9.58832i | 0.979317 | − | 0.318199i | ||||
\(909\) | −34.7948 | − | 11.3055i | −1.15407 | − | 0.374980i | ||||
\(910\) | 0.218307 | + | 0.158609i | 0.00723681 | + | 0.00525785i | ||||
\(911\) | −40.5720 | −1.34421 | −0.672104 | − | 0.740456i | \(-0.734609\pi\) | ||||
−0.672104 | + | 0.740456i | \(0.734609\pi\) | |||||||
\(912\) | −1.63492 | − | 1.18784i | −0.0541376 | − | 0.0393333i | ||||
\(913\) | 0.583220 | − | 0.802734i | 0.0193018 | − | 0.0265666i | ||||
\(914\) | −2.11765 | − | 2.91470i | −0.0700456 | − | 0.0964095i | ||||
\(915\) | −1.56345 | + | 0.507995i | −0.0516860 | + | 0.0167938i | ||||
\(916\) | 6.00324i | 0.198353i | ||||||||
\(917\) | 6.30728 | + | 8.68122i | 0.208285 | + | 0.286679i | ||||
\(918\) | 1.36433 | − | 4.19898i | 0.0450296 | − | 0.138587i | ||||
\(919\) | 27.4169 | − | 37.7361i | 0.904399 | − | 1.24480i | −0.0646441 | − | 0.997908i | \(-0.520591\pi\) |
0.969043 | − | 0.246890i | \(-0.0794088\pi\) | |||||||
\(920\) | −0.399421 | − | 1.22929i | −0.0131685 | − | 0.0405285i | ||||
\(921\) | 3.43042 | + | 1.11461i | 0.113036 | + | 0.0367277i | ||||
\(922\) | −3.30141 | + | 10.1607i | −0.108726 | + | 0.334624i | ||||
\(923\) | 4.16580 | − | 12.8210i | 0.137119 | − | 0.422009i | ||||
\(924\) | 5.08861 | + | 1.65339i | 0.167403 | + | 0.0543925i | ||||
\(925\) | 2.67180 | + | 8.22297i | 0.0878484 | + | 0.270370i | ||||
\(926\) | 10.9928 | − | 15.1303i | 0.361247 | − | 0.497213i | ||||
\(927\) | −0.111423 | + | 0.342925i | −0.00365961 | + | 0.0112631i | ||||
\(928\) | 2.04746 | + | 2.81809i | 0.0672112 | + | 0.0925083i | ||||
\(929\) | 3.71394i | 0.121850i | 0.998142 | + | 0.0609252i | \(0.0194051\pi\) | ||||
−0.998142 | + | 0.0609252i | \(0.980595\pi\) | |||||||
\(930\) | 0.369671 | − | 0.120113i | 0.0121220 | − | 0.00393867i | ||||
\(931\) | 0.695684 | + | 0.957527i | 0.0228001 | + | 0.0313817i | ||||
\(932\) | −10.1023 | + | 13.9046i | −0.330912 | + | 0.455462i | ||||
\(933\) | −5.61603 | − | 4.08029i | −0.183861 | − | 0.133583i | ||||
\(934\) | −16.8293 | −0.550672 | ||||||||
\(935\) | −0.946351 | − | 0.687564i | −0.0309490 | − | 0.0224857i | ||||
\(936\) | 15.3657 | + | 4.99262i | 0.502244 | + | 0.163189i | ||||
\(937\) | 6.29061 | − | 2.04394i | 0.205505 | − | 0.0667728i | −0.204455 | − | 0.978876i | \(-0.565542\pi\) |
0.409961 | + | 0.912103i | \(0.365542\pi\) | |||||||
\(938\) | −5.78346 | + | 4.20193i | −0.188837 | + | 0.137198i | ||||
\(939\) | −16.1522 | + | 11.7353i | −0.527107 | + | 0.382966i | ||||
\(940\) | 0.600349i | 0.0195812i | ||||||||
\(941\) | 7.18514 | + | 22.1136i | 0.234229 | + | 0.720883i | 0.997223 | + | 0.0744769i | \(0.0237287\pi\) |
−0.762994 | + | 0.646406i | \(0.776271\pi\) | |||||||
\(942\) | 8.13149 | 0.264938 | ||||||||
\(943\) | −26.9961 | + | 1.69550i | −0.879114 | + | 0.0552129i | ||||
\(944\) | 33.5594 | 1.09227 | ||||||||
\(945\) | −0.190545 | − | 0.586438i | −0.00619844 | − | 0.0190768i | ||||
\(946\) | − | 21.9458i | − | 0.713520i | ||||||
\(947\) | 20.4137 | − | 14.8314i | 0.663356 | − | 0.481957i | −0.204438 | − | 0.978879i | \(-0.565537\pi\) |
0.867795 | + | 0.496923i | \(0.165537\pi\) | |||||||
\(948\) | −12.1539 | + | 8.83030i | −0.394739 | + | 0.286795i | ||||
\(949\) | −9.73976 | + | 3.16464i | −0.316166 | + | 0.102729i | ||||
\(950\) | 3.12883 | + | 1.01662i | 0.101513 | + | 0.0329834i | ||||
\(951\) | 19.6150 | + | 14.2512i | 0.636061 | + | 0.462126i | ||||
\(952\) | −3.92349 | −0.127161 | ||||||||
\(953\) | 25.6460 | + | 18.6329i | 0.830754 | + | 0.603578i | 0.919773 | − | 0.392452i | \(-0.128373\pi\) |
−0.0890183 | + | 0.996030i | \(0.528373\pi\) | |||||||
\(954\) | 1.30366 | − | 1.79434i | 0.0422076 | − | 0.0580938i | ||||
\(955\) | 1.71233 | + | 2.35682i | 0.0554096 | + | 0.0762648i | ||||
\(956\) | 42.4522 | − | 13.7935i | 1.37300 | − | 0.446115i | ||||
\(957\) | 2.05888i | 0.0665540i | ||||||||
\(958\) | −7.67251 | − | 10.5603i | −0.247888 | − | 0.341188i | ||||
\(959\) | −3.10896 | + | 9.56839i | −0.100393 | + | 0.308979i | ||||
\(960\) | 0.0976969 | − | 0.134468i | 0.00315315 | − | 0.00433994i | ||||
\(961\) | 1.95498 | + | 6.01681i | 0.0630639 | + | 0.194091i | ||||
\(962\) | 3.00023 | + | 0.974834i | 0.0967313 | + | 0.0314299i | ||||
\(963\) | 5.70550 | − | 17.5597i | 0.183857 | − | 0.565855i | ||||
\(964\) | −10.3085 | + | 31.7261i | −0.332013 | + | 1.02183i | ||||
\(965\) | −0.429288 | − | 0.139484i | −0.0138193 | − | 0.00449015i | ||||
\(966\) | −0.559000 | − | 1.72042i | −0.0179855 | − | 0.0553537i | ||||
\(967\) | 20.8749 | − | 28.7318i | 0.671291 | − | 0.923953i | −0.328498 | − | 0.944505i | \(-0.606542\pi\) |
0.999789 | + | 0.0205521i | \(0.00654241\pi\) | |||||||
\(968\) | −3.86890 | + | 11.9072i | −0.124351 | + | 0.382713i | ||||
\(969\) | 1.01641 | + | 1.39896i | 0.0326517 | + | 0.0449412i | ||||
\(970\) | 0.139395i | 0.00447570i | ||||||||
\(971\) | 16.3202 | − | 5.30274i | 0.523739 | − | 0.170173i | −0.0352027 | − | 0.999380i | \(-0.511208\pi\) |
0.558941 | + | 0.829207i | \(0.311208\pi\) | |||||||
\(972\) | −15.4392 | − | 21.2503i | −0.495213 | − | 0.681603i | ||||
\(973\) | −11.3856 | + | 15.6710i | −0.365006 | + | 0.502388i | ||||
\(974\) | 7.72071 | + | 5.60943i | 0.247388 | + | 0.179738i | ||||
\(975\) | −12.4171 | −0.397666 | ||||||||
\(976\) | 25.9885 | + | 18.8817i | 0.831871 | + | 0.604390i | ||||
\(977\) | −36.0448 | − | 11.7117i | −1.15318 | − | 0.374690i | −0.330837 | − | 0.943688i | \(-0.607331\pi\) |
−0.822339 | + | 0.568998i | \(0.807331\pi\) | |||||||
\(978\) | −1.49430 | + | 0.485527i | −0.0477824 | + | 0.0155254i | ||||
\(979\) | −6.07360 | + | 4.41273i | −0.194113 | + | 0.141031i | ||||
\(980\) | −0.202917 | + | 0.147428i | −0.00648195 | + | 0.00470941i | ||||
\(981\) | 13.9205i | 0.444446i | ||||||||
\(982\) | 2.82608 | + | 8.69777i | 0.0901837 | + | 0.277557i | ||||
\(983\) | 40.9492 | 1.30608 | 0.653038 | − | 0.757325i | \(-0.273494\pi\) | ||||
0.653038 | + | 0.757325i | \(0.273494\pi\) | |||||||
\(984\) | 6.44531 | + | 7.79277i | 0.205469 | + | 0.248424i | ||||
\(985\) | 0.605305 | 0.0192866 | ||||||||
\(986\) | −0.213551 | − | 0.657243i | −0.00680086 | − | 0.0209309i | ||||
\(987\) | 1.83558i | 0.0584273i | ||||||||
\(988\) | −5.25796 | + | 3.82013i | −0.167278 | + | 0.121535i | ||||
\(989\) | 32.5016 | − | 23.6138i | 1.03349 | − | 0.750874i | ||||
\(990\) | 0.786443 | − | 0.255531i | 0.0249948 | − | 0.00812130i | ||||
\(991\) | −11.9463 | − | 3.88159i | −0.379487 | − | 0.123303i | 0.113061 | − | 0.993588i | \(-0.463934\pi\) |
−0.492548 | + | 0.870285i | \(0.663934\pi\) | |||||||
\(992\) | −26.5033 | − | 19.2558i | −0.841482 | − | 0.611372i | ||||
\(993\) | −4.00607 | −0.127129 | ||||||||
\(994\) | −1.87226 | − | 1.36028i | −0.0593845 | − | 0.0431453i | ||||
\(995\) | 0.286781 | − | 0.394720i | 0.00909156 | − | 0.0125135i | ||||
\(996\) | −0.182707 | − | 0.251474i | −0.00578928 | − | 0.00796826i | ||||
\(997\) | 29.0642 | − | 9.44352i | 0.920471 | − | 0.299079i | 0.189811 | − | 0.981821i | \(-0.439212\pi\) |
0.730660 | + | 0.682741i | \(0.239212\pi\) | |||||||
\(998\) | 9.63665i | 0.305043i | ||||||||
\(999\) | −4.23714 | − | 5.83192i | −0.134057 | − | 0.184514i |
(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 | 287.2.n.a.64.11 | ✓ | 88 | |
41.25 | even | 10 | inner | 287.2.n.a.148.11 | yes | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
287.2.n.a.64.11 | ✓ | 88 | 1.1 | even | 1 | trivial | |
287.2.n.a.148.11 | yes | 88 | 41.25 | even | 10 | inner |