Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [260,2,Mod(19,260)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(260, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 6, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("260.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 260 = 2^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 260.bc (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: | \(2.07611045255\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 19.13 | ||
Character | \(\chi\) | \(=\) | 260.19 |
Dual form | 260.2.bc.c.219.13 |
$q$-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 \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).
\(n\) | \(41\) | \(131\) | \(157\) |
\(\chi(n)\) | \(e\left(\frac{5}{12}\right)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.691873 | − | 1.23341i | −0.489228 | − | 0.872156i | ||||
\(3\) | −0.267386 | + | 0.463127i | −0.154376 | + | 0.267386i | −0.932832 | − | 0.360313i | \(-0.882670\pi\) |
0.778456 | + | 0.627699i | \(0.216003\pi\) | |||||||
\(4\) | −1.04262 | + | 1.70673i | −0.521312 | + | 0.853366i | ||||
\(5\) | −1.00857 | − | 1.99569i | −0.451046 | − | 0.892501i | ||||
\(6\) | 0.756225 | + | 0.00937347i | 0.308728 | + | 0.00382670i | ||||
\(7\) | −1.03041 | + | 3.84553i | −0.389457 | + | 1.45347i | 0.441562 | + | 0.897231i | \(0.354425\pi\) |
−0.831019 | + | 0.556244i | \(0.812242\pi\) | |||||||
\(8\) | 2.82647 | + | 0.105146i | 0.999309 | + | 0.0371748i | ||||
\(9\) | 1.35701 | + | 2.35041i | 0.452336 | + | 0.783470i | ||||
\(10\) | −1.76371 | + | 2.62475i | −0.557735 | + | 0.830019i | ||||
\(11\) | 0.531930 | + | 1.98519i | 0.160383 | + | 0.598557i | 0.998584 | + | 0.0531958i | \(0.0169407\pi\) |
−0.838201 | + | 0.545361i | \(0.816393\pi\) | |||||||
\(12\) | −0.511650 | − | 0.939224i | −0.147701 | − | 0.271131i | ||||
\(13\) | −0.592397 | − | 3.55655i | −0.164301 | − | 0.986410i | ||||
\(14\) | 5.45605 | − | 1.38970i | 1.45819 | − | 0.371413i | ||||
\(15\) | 1.19394 | + | 0.0665249i | 0.308273 | + | 0.0171767i | ||||
\(16\) | −1.82587 | − | 3.55896i | −0.456468 | − | 0.889740i | ||||
\(17\) | 3.30468 | + | 5.72388i | 0.801504 | + | 1.38824i | 0.918626 | + | 0.395127i | \(0.129300\pi\) |
−0.117123 | + | 0.993117i | \(0.537367\pi\) | |||||||
\(18\) | 1.96015 | − | 3.29994i | 0.462012 | − | 0.777803i | ||||
\(19\) | −0.655404 | + | 2.44600i | −0.150360 | + | 0.561151i | 0.849098 | + | 0.528235i | \(0.177146\pi\) |
−0.999458 | + | 0.0329162i | \(0.989521\pi\) | |||||||
\(20\) | 4.45767 | + | 0.359397i | 0.996766 | + | 0.0803636i | ||||
\(21\) | −1.50545 | − | 1.50545i | −0.328517 | − | 0.328517i | ||||
\(22\) | 2.08053 | − | 2.02959i | 0.443571 | − | 0.432710i | ||||
\(23\) | 5.46431 | + | 3.15482i | 1.13939 | + | 0.657825i | 0.946279 | − | 0.323352i | \(-0.104810\pi\) |
0.193108 | + | 0.981178i | \(0.438143\pi\) | |||||||
\(24\) | −0.804456 | + | 1.28090i | −0.164209 | + | 0.261463i | ||||
\(25\) | −2.96557 | + | 4.02559i | −0.593114 | + | 0.805118i | ||||
\(26\) | −3.97684 | + | 3.19135i | −0.779923 | + | 0.625876i | ||||
\(27\) | −3.05570 | −0.588070 | ||||||||
\(28\) | −5.48897 | − | 5.76807i | −1.03732 | − | 1.09006i | ||||
\(29\) | 1.10679 | − | 1.91702i | 0.205526 | − | 0.355982i | −0.744774 | − | 0.667317i | \(-0.767443\pi\) |
0.950300 | + | 0.311335i | \(0.100776\pi\) | |||||||
\(30\) | −0.743999 | − | 1.51865i | −0.135835 | − | 0.277266i | ||||
\(31\) | −1.45593 | − | 1.45593i | −0.261493 | − | 0.261493i | 0.564168 | − | 0.825660i | \(-0.309197\pi\) |
−0.825660 | + | 0.564168i | \(0.809197\pi\) | |||||||
\(32\) | −3.12640 | + | 4.71440i | −0.552675 | + | 0.833397i | ||||
\(33\) | −1.06162 | − | 0.284462i | −0.184805 | − | 0.0495184i | ||||
\(34\) | 4.77350 | − | 8.03624i | 0.818648 | − | 1.37820i | ||||
\(35\) | 8.71374 | − | 1.82211i | 1.47289 | − | 0.307994i | ||||
\(36\) | −5.42637 | − | 0.134541i | −0.904395 | − | 0.0224235i | ||||
\(37\) | 0.462192 | + | 1.72492i | 0.0759839 | + | 0.283576i | 0.993455 | − | 0.114228i | \(-0.0364393\pi\) |
−0.917471 | + | 0.397803i | \(0.869773\pi\) | |||||||
\(38\) | 3.47039 | − | 0.883937i | 0.562972 | − | 0.143394i | ||||
\(39\) | 1.80553 | + | 0.676619i | 0.289117 | + | 0.108346i | ||||
\(40\) | −2.64086 | − | 5.74681i | −0.417556 | − | 0.908651i | ||||
\(41\) | −0.606961 | − | 2.26521i | −0.0947913 | − | 0.353766i | 0.902196 | − | 0.431325i | \(-0.141954\pi\) |
−0.996988 | + | 0.0775594i | \(0.975287\pi\) | |||||||
\(42\) | −0.815266 | + | 2.89843i | −0.125798 | + | 0.447237i | ||||
\(43\) | −3.33357 | + | 1.92464i | −0.508365 | + | 0.293504i | −0.732161 | − | 0.681131i | \(-0.761488\pi\) |
0.223797 | + | 0.974636i | \(0.428155\pi\) | |||||||
\(44\) | −3.94279 | − | 1.16194i | −0.594398 | − | 0.175170i | ||||
\(45\) | 3.32205 | − | 5.07872i | 0.495222 | − | 0.757091i | ||||
\(46\) | 0.110595 | − | 8.92249i | 0.0163063 | − | 1.31555i | ||||
\(47\) | −1.84265 | − | 1.84265i | −0.268778 | − | 0.268778i | 0.559829 | − | 0.828608i | \(-0.310867\pi\) |
−0.828608 | + | 0.559829i | \(0.810867\pi\) | |||||||
\(48\) | 2.13646 | + | 0.106008i | 0.308372 | + | 0.0153009i | ||||
\(49\) | −7.66421 | − | 4.42493i | −1.09489 | − | 0.632133i | ||||
\(50\) | 7.01702 | + | 0.872584i | 0.992357 | + | 0.123402i | ||||
\(51\) | −3.53451 | −0.494931 | ||||||||
\(52\) | 6.68773 | + | 2.69708i | 0.927421 | + | 0.374018i | ||||
\(53\) | 7.09984i | 0.975238i | 0.873057 | + | 0.487619i | \(0.162134\pi\) | ||||
−0.873057 | + | 0.487619i | \(0.837866\pi\) | |||||||
\(54\) | 2.11416 | + | 3.76895i | 0.287700 | + | 0.512889i | ||||
\(55\) | 3.42534 | − | 3.06377i | 0.461872 | − | 0.413119i | ||||
\(56\) | −3.31676 | + | 10.7609i | −0.443221 | + | 1.43799i | ||||
\(57\) | −0.957563 | − | 0.957563i | −0.126832 | − | 0.126832i | ||||
\(58\) | −3.13024 | − | 0.0387996i | −0.411021 | − | 0.00509463i | ||||
\(59\) | −11.3182 | − | 3.03269i | −1.47350 | − | 0.394823i | −0.569369 | − | 0.822082i | \(-0.692813\pi\) |
−0.904129 | + | 0.427259i | \(0.859479\pi\) | |||||||
\(60\) | −1.35837 | + | 1.96837i | −0.175364 | + | 0.254115i | ||||
\(61\) | −1.29491 | − | 2.24285i | −0.165796 | − | 0.287167i | 0.771142 | − | 0.636664i | \(-0.219686\pi\) |
−0.936938 | + | 0.349496i | \(0.886353\pi\) | |||||||
\(62\) | −0.788447 | + | 2.80308i | −0.100133 | + | 0.355992i | ||||
\(63\) | −10.4368 | + | 2.79654i | −1.31492 | + | 0.352331i | ||||
\(64\) | 7.97789 | + | 0.594385i | 0.997236 | + | 0.0742982i | ||||
\(65\) | −6.50031 | + | 4.76928i | −0.806264 | + | 0.591556i | ||||
\(66\) | 0.383650 | + | 1.50623i | 0.0472241 | + | 0.185405i | ||||
\(67\) | 1.14361 | + | 4.26801i | 0.139714 | + | 0.521421i | 0.999934 | + | 0.0114972i | \(0.00365975\pi\) |
−0.860220 | + | 0.509924i | \(0.829674\pi\) | |||||||
\(68\) | −13.2147 | − | 0.327644i | −1.60251 | − | 0.0397327i | ||||
\(69\) | −2.92216 | + | 1.68711i | −0.351787 | + | 0.203104i | ||||
\(70\) | −8.27622 | − | 9.48698i | −0.989198 | − | 1.13391i | ||||
\(71\) | 3.53903 | − | 13.2078i | 0.420006 | − | 1.56748i | −0.354587 | − | 0.935023i | \(-0.615378\pi\) |
0.774593 | − | 0.632460i | \(-0.217955\pi\) | |||||||
\(72\) | 3.58841 | + | 6.78605i | 0.422898 | + | 0.799743i | ||||
\(73\) | 2.37496 | − | 2.37496i | 0.277968 | − | 0.277968i | −0.554329 | − | 0.832297i | \(-0.687025\pi\) |
0.832297 | + | 0.554329i | \(0.187025\pi\) | |||||||
\(74\) | 1.80777 | − | 1.76350i | 0.210149 | − | 0.205003i | ||||
\(75\) | −1.07141 | − | 2.44982i | −0.123715 | − | 0.282881i | ||||
\(76\) | −3.49133 | − | 3.66886i | −0.400483 | − | 0.420847i | ||||
\(77\) | −8.18221 | −0.932449 | ||||||||
\(78\) | −0.414648 | − | 2.69511i | −0.0469497 | − | 0.305161i | ||||
\(79\) | 15.1372i | 1.70307i | 0.524299 | + | 0.851534i | \(0.324328\pi\) | ||||
−0.524299 | + | 0.851534i | \(0.675672\pi\) | |||||||
\(80\) | −5.26107 | + | 7.23334i | −0.588205 | + | 0.808712i | ||||
\(81\) | −3.25397 | + | 5.63605i | −0.361553 | + | 0.626228i | ||||
\(82\) | −2.37400 | + | 2.31587i | −0.262165 | + | 0.255745i | ||||
\(83\) | 9.02147 | − | 9.02147i | 0.990235 | − | 0.990235i | −0.00971824 | − | 0.999953i | \(-0.503093\pi\) |
0.999953 | + | 0.00971824i | \(0.00309346\pi\) | |||||||
\(84\) | 4.13903 | − | 0.999784i | 0.451605 | − | 0.109085i | ||||
\(85\) | 8.09010 | − | 12.3681i | 0.877494 | − | 1.34151i | ||||
\(86\) | 4.68028 | + | 2.78007i | 0.504688 | + | 0.299783i | ||||
\(87\) | 0.591882 | + | 1.02517i | 0.0634564 | + | 0.109910i | ||||
\(88\) | 1.29475 | + | 5.66701i | 0.138021 | + | 0.604105i | ||||
\(89\) | −0.227842 | + | 0.0610500i | −0.0241512 | + | 0.00647129i | −0.270874 | − | 0.962615i | \(-0.587313\pi\) |
0.246723 | + | 0.969086i | \(0.420646\pi\) | |||||||
\(90\) | −8.56261 | − | 0.583637i | −0.902578 | − | 0.0615208i | ||||
\(91\) | 14.2873 | + | 1.38662i | 1.49771 | + | 0.145357i | ||||
\(92\) | −11.0816 | + | 6.03682i | −1.15534 | + | 0.629382i | ||||
\(93\) | 1.06358 | − | 0.284984i | 0.110288 | − | 0.0295515i | ||||
\(94\) | −0.997873 | + | 3.54763i | −0.102923 | + | 0.365911i | ||||
\(95\) | 5.54249 | − | 1.15898i | 0.568647 | − | 0.118909i | ||||
\(96\) | −1.34741 | − | 2.70849i | −0.137519 | − | 0.276434i | ||||
\(97\) | −1.56859 | + | 5.85405i | −0.159266 | + | 0.594389i | 0.839436 | + | 0.543458i | \(0.182885\pi\) |
−0.998702 | + | 0.0509306i | \(0.983781\pi\) | |||||||
\(98\) | −0.155120 | + | 12.5146i | −0.0156695 | + | 1.26417i | ||||
\(99\) | −3.94417 | + | 3.94417i | −0.396404 | + | 0.396404i | ||||
\(100\) | −3.77863 | − | 9.25862i | −0.377863 | − | 0.925862i | ||||
\(101\) | 12.3939 | + | 7.15561i | 1.23324 | + | 0.712010i | 0.967704 | − | 0.252091i | \(-0.0811182\pi\) |
0.265535 | + | 0.964101i | \(0.414452\pi\) | |||||||
\(102\) | 2.44543 | + | 4.35952i | 0.242134 | + | 0.431657i | ||||
\(103\) | − | 15.5323i | − | 1.53045i | −0.643765 | − | 0.765223i | \(-0.722629\pi\) | ||
0.643765 | − | 0.765223i | \(-0.277371\pi\) | |||||||
\(104\) | −1.30044 | − | 10.1148i | −0.127518 | − | 0.991836i | ||||
\(105\) | −1.48607 | + | 4.52277i | −0.145025 | + | 0.441378i | ||||
\(106\) | 8.75704 | − | 4.91218i | 0.850559 | − | 0.477114i | ||||
\(107\) | 6.63031 | − | 11.4840i | 0.640976 | − | 1.11020i | −0.344239 | − | 0.938882i | \(-0.611863\pi\) |
0.985215 | − | 0.171321i | \(-0.0548036\pi\) | |||||||
\(108\) | 3.18595 | − | 5.21527i | 0.306568 | − | 0.501839i | ||||
\(109\) | 6.03794 | − | 6.03794i | 0.578330 | − | 0.578330i | −0.356113 | − | 0.934443i | \(-0.615898\pi\) |
0.934443 | + | 0.356113i | \(0.115898\pi\) | |||||||
\(110\) | −6.14879 | − | 2.10512i | −0.586265 | − | 0.200715i | ||||
\(111\) | −0.922443 | − | 0.247168i | −0.0875544 | − | 0.0234601i | ||||
\(112\) | 15.5675 | − | 3.35427i | 1.47099 | − | 0.316948i | ||||
\(113\) | 11.6841 | − | 6.74580i | 1.09915 | − | 0.634592i | 0.163149 | − | 0.986601i | \(-0.447835\pi\) |
0.935996 | + | 0.352010i | \(0.114502\pi\) | |||||||
\(114\) | −0.518561 | + | 1.84358i | −0.0485677 | + | 0.172668i | ||||
\(115\) | 0.784909 | − | 14.0869i | 0.0731932 | − | 1.31361i | ||||
\(116\) | 2.11787 | + | 3.88773i | 0.196639 | + | 0.360966i | ||||
\(117\) | 7.55546 | − | 6.21865i | 0.698503 | − | 0.574914i | ||||
\(118\) | 4.09016 | + | 16.0582i | 0.376530 | + | 1.47828i | ||||
\(119\) | −25.4165 | + | 6.81034i | −2.32993 | + | 0.624303i | ||||
\(120\) | 3.36763 | + | 0.313569i | 0.307421 | + | 0.0286248i | ||||
\(121\) | 5.86826 | − | 3.38804i | 0.533478 | − | 0.308004i | ||||
\(122\) | −1.87045 | + | 3.14893i | −0.169343 | + | 0.285090i | ||||
\(123\) | 1.21137 | + | 0.324586i | 0.109226 | + | 0.0292669i | ||||
\(124\) | 4.00287 | − | 0.966895i | 0.359468 | − | 0.0868298i | ||||
\(125\) | 11.0248 | + | 1.85828i | 0.986090 | + | 0.166209i | ||||
\(126\) | 10.6703 | + | 10.9381i | 0.950583 | + | 0.974444i | ||||
\(127\) | −14.1862 | − | 8.19042i | −1.25882 | − | 0.726782i | −0.285977 | − | 0.958236i | \(-0.592318\pi\) |
−0.972846 | + | 0.231454i | \(0.925652\pi\) | |||||||
\(128\) | −4.78656 | − | 10.2513i | −0.423076 | − | 0.906094i | ||||
\(129\) | − | 2.05849i | − | 0.181240i | ||||||
\(130\) | 10.3799 | + | 4.71785i | 0.910376 | + | 0.413782i | ||||
\(131\) | 9.17870i | 0.801947i | 0.916090 | + | 0.400973i | \(0.131328\pi\) | ||||
−0.916090 | + | 0.400973i | \(0.868672\pi\) | |||||||
\(132\) | 1.59238 | − | 1.51532i | 0.138598 | − | 0.131892i | ||||
\(133\) | −8.73085 | − | 5.04076i | −0.757061 | − | 0.437089i | ||||
\(134\) | 4.47300 | − | 4.36347i | 0.386408 | − | 0.376946i | ||||
\(135\) | 3.08189 | + | 6.09824i | 0.265247 | + | 0.524853i | ||||
\(136\) | 8.73875 | + | 16.5259i | 0.749342 | + | 1.41708i | ||||
\(137\) | 13.6051 | + | 3.64546i | 1.16236 | + | 0.311453i | 0.787907 | − | 0.615794i | \(-0.211165\pi\) |
0.374451 | + | 0.927247i | \(0.377831\pi\) | |||||||
\(138\) | 4.10267 | + | 2.43697i | 0.349243 | + | 0.207449i | ||||
\(139\) | −2.32177 | + | 1.34047i | −0.196930 | + | 0.113697i | −0.595223 | − | 0.803561i | \(-0.702936\pi\) |
0.398293 | + | 0.917258i | \(0.369603\pi\) | |||||||
\(140\) | −5.97529 | + | 16.7718i | −0.505004 | + | 1.41748i | ||||
\(141\) | 1.34608 | − | 0.360681i | 0.113361 | − | 0.0303749i | ||||
\(142\) | −18.7393 | + | 4.77306i | −1.57257 | + | 0.400546i | ||||
\(143\) | 6.74531 | − | 3.06786i | 0.564071 | − | 0.256547i | ||||
\(144\) | 5.88729 | − | 9.12108i | 0.490607 | − | 0.760090i | ||||
\(145\) | −4.94206 | − | 0.275366i | −0.410416 | − | 0.0228679i | ||||
\(146\) | −4.57248 | − | 1.28614i | −0.378421 | − | 0.106442i | ||||
\(147\) | 4.09861 | − | 2.36633i | 0.338048 | − | 0.195172i | ||||
\(148\) | −3.42588 | − | 1.00961i | −0.281605 | − | 0.0829894i | ||||
\(149\) | 8.92438 | + | 2.39128i | 0.731114 | + | 0.195901i | 0.605125 | − | 0.796130i | \(-0.293123\pi\) |
0.125989 | + | 0.992032i | \(0.459790\pi\) | |||||||
\(150\) | −2.28037 | + | 3.01645i | −0.186192 | + | 0.246292i | ||||
\(151\) | 5.10169 | − | 5.10169i | 0.415170 | − | 0.415170i | −0.468365 | − | 0.883535i | \(-0.655157\pi\) |
0.883535 | + | 0.468365i | \(0.155157\pi\) | |||||||
\(152\) | −2.10967 | + | 6.84464i | −0.171117 | + | 0.555174i | ||||
\(153\) | −8.96897 | + | 15.5347i | −0.725098 | + | 1.25591i | ||||
\(154\) | 5.66105 | + | 10.0921i | 0.456180 | + | 0.813241i | ||||
\(155\) | −1.43718 | + | 4.37400i | −0.115437 | + | 0.351328i | ||||
\(156\) | −3.03730 | + | 2.37610i | −0.243179 | + | 0.190241i | ||||
\(157\) | 2.68276i | 0.214107i | 0.994253 | + | 0.107054i | \(0.0341416\pi\) | ||||
−0.994253 | + | 0.107054i | \(0.965858\pi\) | |||||||
\(158\) | 18.6705 | − | 10.4730i | 1.48534 | − | 0.833189i | ||||
\(159\) | −3.28813 | − | 1.89840i | −0.260765 | − | 0.150553i | ||||
\(160\) | 12.5617 | + | 1.48453i | 0.993089 | + | 0.117363i | ||||
\(161\) | −17.7624 | + | 17.7624i | −1.39987 | + | 1.39987i | ||||
\(162\) | 9.20292 | + | 0.114071i | 0.723050 | + | 0.00896226i | ||||
\(163\) | −3.64088 | + | 13.5879i | −0.285175 | + | 1.06429i | 0.663536 | + | 0.748145i | \(0.269055\pi\) |
−0.948711 | + | 0.316144i | \(0.897612\pi\) | |||||||
\(164\) | 4.49894 | + | 1.32584i | 0.351308 | + | 0.103531i | ||||
\(165\) | 0.503026 | + | 2.40558i | 0.0391605 | + | 0.187274i | ||||
\(166\) | −17.3689 | − | 4.88550i | −1.34809 | − | 0.379189i | ||||
\(167\) | 11.3095 | − | 3.03037i | 0.875154 | − | 0.234497i | 0.206839 | − | 0.978375i | \(-0.433682\pi\) |
0.668315 | + | 0.743878i | \(0.267016\pi\) | |||||||
\(168\) | −4.09683 | − | 4.41341i | −0.316077 | − | 0.340502i | ||||
\(169\) | −12.2981 | + | 4.21378i | −0.946010 | + | 0.324137i | ||||
\(170\) | −20.8523 | − | 1.42131i | −1.59930 | − | 0.109010i | ||||
\(171\) | −6.63850 | + | 1.77878i | −0.507658 | + | 0.136027i | ||||
\(172\) | 0.190819 | − | 7.69618i | 0.0145498 | − | 0.586829i | ||||
\(173\) | −2.54719 | − | 4.41187i | −0.193660 | − | 0.335428i | 0.752801 | − | 0.658249i | \(-0.228702\pi\) |
−0.946460 | + | 0.322820i | \(0.895369\pi\) | |||||||
\(174\) | 0.854953 | − | 1.43932i | 0.0648138 | − | 0.109115i | ||||
\(175\) | −12.4248 | − | 15.5522i | −0.939226 | − | 1.17564i | ||||
\(176\) | 6.09397 | − | 5.51781i | 0.459350 | − | 0.415921i | ||||
\(177\) | 4.43084 | − | 4.43084i | 0.333043 | − | 0.333043i | ||||
\(178\) | 0.232937 | + | 0.238784i | 0.0174594 | + | 0.0178977i | ||||
\(179\) | 3.82813 | − | 6.63052i | 0.286128 | − | 0.495588i | −0.686754 | − | 0.726890i | \(-0.740965\pi\) |
0.972882 | + | 0.231302i | \(0.0742984\pi\) | |||||||
\(180\) | 5.20437 | + | 10.9651i | 0.387911 | + | 0.817287i | ||||
\(181\) | − | 6.48742i | − | 0.482206i | −0.970500 | − | 0.241103i | \(-0.922491\pi\) | ||
0.970500 | − | 0.241103i | \(-0.0775091\pi\) | |||||||
\(182\) | −8.17469 | − | 18.5815i | −0.605948 | − | 1.37735i | ||||
\(183\) | 1.38496 | 0.102380 | ||||||||
\(184\) | 15.1130 | + | 9.49156i | 1.11414 | + | 0.699727i | ||||
\(185\) | 2.97626 | − | 2.66210i | 0.218819 | − | 0.195722i | ||||
\(186\) | −1.08736 | − | 1.11466i | −0.0797294 | − | 0.0817307i | ||||
\(187\) | −9.60512 | + | 9.60512i | −0.702396 | + | 0.702396i | ||||
\(188\) | 5.06611 | − | 1.22372i | 0.369484 | − | 0.0892490i | ||||
\(189\) | 3.14862 | − | 11.7508i | 0.229028 | − | 0.854745i | ||||
\(190\) | −5.26420 | − | 6.03432i | −0.381905 | − | 0.437776i | ||||
\(191\) | −1.24269 | + | 0.717465i | −0.0899176 | + | 0.0519139i | −0.544285 | − | 0.838901i | \(-0.683199\pi\) |
0.454367 | + | 0.890815i | \(0.349865\pi\) | |||||||
\(192\) | −2.40846 | + | 3.53584i | −0.173815 | + | 0.255178i | ||||
\(193\) | −4.98909 | − | 18.6195i | −0.359122 | − | 1.34026i | −0.875217 | − | 0.483731i | \(-0.839281\pi\) |
0.516094 | − | 0.856532i | \(-0.327385\pi\) | |||||||
\(194\) | 8.30574 | − | 2.11554i | 0.596317 | − | 0.151887i | ||||
\(195\) | −0.470685 | − | 4.28571i | −0.0337065 | − | 0.306906i | ||||
\(196\) | 15.5431 | − | 8.46721i | 1.11022 | − | 0.604801i | ||||
\(197\) | −15.4280 | + | 4.13391i | −1.09920 | + | 0.294529i | −0.762438 | − | 0.647061i | \(-0.775998\pi\) |
−0.336760 | + | 0.941591i | \(0.609331\pi\) | |||||||
\(198\) | 7.59366 | + | 2.13593i | 0.539658 | + | 0.151794i | ||||
\(199\) | 0.0658303 | + | 0.114021i | 0.00466658 | + | 0.00808276i | 0.868349 | − | 0.495953i | \(-0.165181\pi\) |
−0.863683 | + | 0.504036i | \(0.831848\pi\) | |||||||
\(200\) | −8.80538 | + | 11.0664i | −0.622635 | + | 0.782513i | ||||
\(201\) | −2.28242 | − | 0.611572i | −0.160989 | − | 0.0431370i | ||||
\(202\) | 0.250846 | − | 20.2376i | 0.0176495 | − | 1.42391i | ||||
\(203\) | 6.23152 | + | 6.23152i | 0.437367 | + | 0.437367i | ||||
\(204\) | 3.68517 | − | 6.03246i | 0.258013 | − | 0.422357i | ||||
\(205\) | −3.90849 | + | 3.49593i | −0.272981 | + | 0.244166i | ||||
\(206\) | −19.1578 | + | 10.7464i | −1.33479 | + | 0.748737i | ||||
\(207\) | 17.1245i | 1.19023i | ||||||||
\(208\) | −11.5760 | + | 8.60212i | −0.802650 | + | 0.596450i | ||||
\(209\) | −5.20440 | −0.359996 | ||||||||
\(210\) | 6.60663 | − | 1.29625i | 0.455900 | − | 0.0894498i | ||||
\(211\) | 18.1446 | + | 10.4758i | 1.24913 | + | 0.721184i | 0.970935 | − | 0.239341i | \(-0.0769315\pi\) |
0.278192 | + | 0.960525i | \(0.410265\pi\) | |||||||
\(212\) | −12.1175 | − | 7.40246i | −0.832235 | − | 0.508403i | ||||
\(213\) | 5.17062 | + | 5.17062i | 0.354285 | + | 0.354285i | ||||
\(214\) | −18.7519 | − | 0.232431i | −1.28185 | − | 0.0158887i | ||||
\(215\) | 7.20312 | + | 4.71165i | 0.491249 | + | 0.321332i | ||||
\(216\) | −8.63686 | − | 0.321295i | −0.587664 | − | 0.0218614i | ||||
\(217\) | 7.09903 | − | 4.09863i | 0.481914 | − | 0.278233i | ||||
\(218\) | −11.6248 | − | 3.26980i | −0.787329 | − | 0.221459i | ||||
\(219\) | 0.464876 | + | 1.73494i | 0.0314134 | + | 0.117236i | ||||
\(220\) | 1.65770 | + | 9.04049i | 0.111762 | + | 0.609510i | ||||
\(221\) | 18.3996 | − | 15.1441i | 1.23769 | − | 1.01870i | ||||
\(222\) | 0.333353 | + | 1.30876i | 0.0223732 | + | 0.0878384i | ||||
\(223\) | 2.12605 | + | 7.93453i | 0.142371 | + | 0.531336i | 0.999858 | + | 0.0168307i | \(0.00535763\pi\) |
−0.857487 | + | 0.514505i | \(0.827976\pi\) | |||||||
\(224\) | −14.9079 | − | 16.8804i | −0.996078 | − | 1.12787i | ||||
\(225\) | −13.4861 | − | 1.50754i | −0.899073 | − | 0.100503i | ||||
\(226\) | −16.4043 | − | 9.74407i | −1.09120 | − | 0.648166i | ||||
\(227\) | −2.28173 | − | 0.611387i | −0.151443 | − | 0.0405792i | 0.182301 | − | 0.983243i | \(-0.441646\pi\) |
−0.333744 | + | 0.942664i | \(0.608312\pi\) | |||||||
\(228\) | 2.63268 | − | 0.635926i | 0.174354 | − | 0.0421152i | ||||
\(229\) | −1.77739 | − | 1.77739i | −0.117453 | − | 0.117453i | 0.645937 | − | 0.763390i | \(-0.276467\pi\) |
−0.763390 | + | 0.645937i | \(0.776467\pi\) | |||||||
\(230\) | −17.9181 | + | 8.77824i | −1.18148 | + | 0.578820i | ||||
\(231\) | 2.18781 | − | 3.78940i | 0.143947 | − | 0.249324i | ||||
\(232\) | 3.32988 | − | 5.30203i | 0.218618 | − | 0.348095i | ||||
\(233\) | 0.999265 | 0.0654641 | 0.0327320 | − | 0.999464i | \(-0.489579\pi\) | ||||
0.0327320 | + | 0.999464i | \(0.489579\pi\) | |||||||
\(234\) | −12.8976 | − | 5.01651i | −0.843142 | − | 0.327939i | ||||
\(235\) | −1.81892 | + | 5.53581i | −0.118653 | + | 0.361116i | ||||
\(236\) | 16.9766 | − | 16.1551i | 1.10508 | − | 1.05161i | ||||
\(237\) | −7.01045 | − | 4.04748i | −0.455378 | − | 0.262912i | ||||
\(238\) | 25.9850 | + | 26.6372i | 1.68436 | + | 1.72664i | ||||
\(239\) | 16.9929 | + | 16.9929i | 1.09918 | + | 1.09918i | 0.994507 | + | 0.104670i | \(0.0333787\pi\) |
0.104670 | + | 0.994507i | \(0.466621\pi\) | |||||||
\(240\) | −1.94321 | − | 4.37064i | −0.125434 | − | 0.282124i | ||||
\(241\) | −5.73852 | + | 21.4164i | −0.369651 | + | 1.37955i | 0.491355 | + | 0.870959i | \(0.336502\pi\) |
−0.861006 | + | 0.508595i | \(0.830165\pi\) | |||||||
\(242\) | −8.23894 | − | 4.89390i | −0.529619 | − | 0.314592i | ||||
\(243\) | −6.32369 | − | 10.9530i | −0.405665 | − | 0.702632i | ||||
\(244\) | 5.17805 | + | 0.128384i | 0.331490 | + | 0.00821897i | ||||
\(245\) | −1.10091 | + | 19.7583i | −0.0703346 | + | 1.26231i | ||||
\(246\) | −0.437766 | − | 1.71870i | −0.0279109 | − | 0.109580i | ||||
\(247\) | 9.08760 | + | 0.881975i | 0.578230 | + | 0.0561188i | ||||
\(248\) | −3.96206 | − | 4.26823i | −0.251591 | − | 0.271033i | ||||
\(249\) | 1.76587 | + | 6.59030i | 0.111907 | + | 0.417643i | ||||
\(250\) | −5.33575 | − | 14.8839i | −0.337463 | − | 0.941339i | ||||
\(251\) | −5.03880 | − | 8.72746i | −0.318046 | − | 0.550873i | 0.662034 | − | 0.749474i | \(-0.269693\pi\) |
−0.980080 | + | 0.198601i | \(0.936360\pi\) | |||||||
\(252\) | 6.10875 | − | 20.7286i | 0.384815 | − | 1.30578i | ||||
\(253\) | −3.35628 | + | 12.5258i | −0.211008 | + | 0.787491i | ||||
\(254\) | −0.287122 | + | 23.1642i | −0.0180157 | + | 1.45345i | ||||
\(255\) | 3.56480 | + | 7.05379i | 0.223237 | + | 0.441726i | ||||
\(256\) | −9.33239 | + | 12.9964i | −0.583275 | + | 0.812275i | ||||
\(257\) | 1.22169 | − | 2.11602i | 0.0762067 | − | 0.131994i | −0.825404 | − | 0.564543i | \(-0.809052\pi\) |
0.901610 | + | 0.432549i | \(0.142386\pi\) | |||||||
\(258\) | −2.53897 | + | 1.42421i | −0.158069 | + | 0.0886676i | ||||
\(259\) | −7.10950 | −0.441763 | ||||||||
\(260\) | −1.36250 | − | 16.0668i | −0.0844985 | − | 0.996424i | ||||
\(261\) | 6.00771 | 0.371868 | ||||||||
\(262\) | 11.3211 | − | 6.35049i | 0.699422 | − | 0.392335i | ||||
\(263\) | −8.94128 | + | 15.4867i | −0.551343 | + | 0.954954i | 0.446835 | + | 0.894616i | \(0.352551\pi\) |
−0.998178 | + | 0.0603375i | \(0.980782\pi\) | |||||||
\(264\) | −2.97074 | − | 0.915648i | −0.182837 | − | 0.0563543i | ||||
\(265\) | 14.1691 | − | 7.16068i | 0.870400 | − | 0.439877i | ||||
\(266\) | −0.176708 | + | 14.2563i | −0.0108347 | + | 0.874111i | ||||
\(267\) | 0.0326479 | − | 0.121844i | 0.00199802 | − | 0.00745670i | ||||
\(268\) | −8.47672 | − | 2.49810i | −0.517798 | − | 0.152596i | ||||
\(269\) | −7.99967 | − | 13.8558i | −0.487749 | − | 0.844805i | 0.512152 | − | 0.858895i | \(-0.328848\pi\) |
−0.999901 | + | 0.0140894i | \(0.995515\pi\) | |||||||
\(270\) | 5.38938 | − | 8.02045i | 0.327987 | − | 0.488109i | ||||
\(271\) | −7.54222 | − | 28.1480i | −0.458157 | − | 1.70987i | −0.678636 | − | 0.734475i | \(-0.737429\pi\) |
0.220478 | − | 0.975392i | \(-0.429238\pi\) | |||||||
\(272\) | 14.3371 | − | 22.2123i | 0.869317 | − | 1.34682i | ||||
\(273\) | −4.46240 | + | 6.24605i | −0.270077 | + | 0.378028i | ||||
\(274\) | −4.91660 | − | 19.3029i | −0.297023 | − | 1.16613i | ||||
\(275\) | −9.56903 | − | 3.74589i | −0.577034 | − | 0.225886i | ||||
\(276\) | 0.167269 | − | 6.74637i | 0.0100684 | − | 0.406084i | ||||
\(277\) | −6.93503 | − | 12.0118i | −0.416685 | − | 0.721720i | 0.578918 | − | 0.815386i | \(-0.303475\pi\) |
−0.995604 | + | 0.0936653i | \(0.970142\pi\) | |||||||
\(278\) | 3.25973 | + | 1.93627i | 0.195505 | + | 0.116129i | ||||
\(279\) | 1.44632 | − | 5.39774i | 0.0865889 | − | 0.323154i | ||||
\(280\) | 24.8207 | − | 4.23394i | 1.48332 | − | 0.253026i | ||||
\(281\) | −20.2958 | − | 20.2958i | −1.21075 | − | 1.21075i | −0.970781 | − | 0.239967i | \(-0.922864\pi\) |
−0.239967 | − | 0.970781i | \(-0.577136\pi\) | |||||||
\(282\) | −1.37619 | − | 1.41073i | −0.0819507 | − | 0.0840078i | ||||
\(283\) | −9.54081 | − | 5.50839i | −0.567143 | − | 0.327440i | 0.188865 | − | 0.982003i | \(-0.439519\pi\) |
−0.756007 | + | 0.654563i | \(0.772853\pi\) | |||||||
\(284\) | 18.8524 | + | 19.8110i | 1.11868 | + | 1.17557i | ||||
\(285\) | −0.945232 | + | 2.87677i | −0.0559907 | + | 0.170405i | ||||
\(286\) | −8.45084 | − | 6.19720i | −0.499708 | − | 0.366448i | ||||
\(287\) | 9.33635 | 0.551107 | ||||||||
\(288\) | −15.3233 | − | 0.950839i | −0.902936 | − | 0.0560287i | ||||
\(289\) | −13.3419 | + | 23.1088i | −0.784816 | + | 1.35934i | ||||
\(290\) | 3.07963 | + | 6.28613i | 0.180842 | + | 0.369134i | ||||
\(291\) | −2.29175 | − | 2.29175i | −0.134345 | − | 0.134345i | ||||
\(292\) | 1.57723 | + | 6.52961i | 0.0923004 | + | 0.382117i | ||||
\(293\) | 13.7685 | + | 3.68926i | 0.804366 | + | 0.215529i | 0.637500 | − | 0.770451i | \(-0.279969\pi\) |
0.166866 | + | 0.985980i | \(0.446635\pi\) | |||||||
\(294\) | −5.75439 | − | 3.41808i | −0.335603 | − | 0.199347i | ||||
\(295\) | 5.36284 | + | 25.6462i | 0.312237 | + | 1.49318i | ||||
\(296\) | 1.12500 | + | 4.92405i | 0.0653895 | + | 0.286205i | ||||
\(297\) | −1.62542 | − | 6.06614i | −0.0943163 | − | 0.351993i | ||||
\(298\) | −3.22510 | − | 12.6619i | −0.186825 | − | 0.733486i | ||||
\(299\) | 7.98324 | − | 21.3030i | 0.461683 | − | 1.23198i | ||||
\(300\) | 5.29827 | + | 0.725643i | 0.305896 | + | 0.0418950i | ||||
\(301\) | −3.96632 | − | 14.8025i | −0.228615 | − | 0.853203i | ||||
\(302\) | −9.82222 | − | 2.76278i | −0.565205 | − | 0.158980i | ||||
\(303\) | −6.62792 | + | 3.82663i | −0.380764 | + | 0.219834i | ||||
\(304\) | 9.90191 | − | 2.13353i | 0.567913 | − | 0.122366i | ||||
\(305\) | −3.17003 | + | 4.84631i | −0.181515 | + | 0.277499i | ||||
\(306\) | 25.3661 | + | 0.314415i | 1.45009 | + | 0.0179739i | ||||
\(307\) | 10.8442 | + | 10.8442i | 0.618911 | + | 0.618911i | 0.945252 | − | 0.326341i | \(-0.105816\pi\) |
−0.326341 | + | 0.945252i | \(0.605816\pi\) | |||||||
\(308\) | 8.53097 | − | 13.9648i | 0.486097 | − | 0.795721i | ||||
\(309\) | 7.19344 | + | 4.15314i | 0.409221 | + | 0.236264i | ||||
\(310\) | 6.38930 | − | 1.25361i | 0.362888 | − | 0.0712002i | ||||
\(311\) | 3.42661 | 0.194305 | 0.0971526 | − | 0.995270i | \(-0.469027\pi\) | ||||
0.0971526 | + | 0.995270i | \(0.469027\pi\) | |||||||
\(312\) | 5.03215 | + | 2.10229i | 0.284889 | + | 0.119019i | ||||
\(313\) | 13.5465i | 0.765693i | 0.923812 | + | 0.382846i | \(0.125056\pi\) | ||||
−0.923812 | + | 0.382846i | \(0.874944\pi\) | |||||||
\(314\) | 3.30895 | − | 1.85613i | 0.186735 | − | 0.104747i | ||||
\(315\) | 16.1073 | + | 18.0082i | 0.907545 | + | 1.01465i | ||||
\(316\) | −25.8352 | − | 15.7824i | −1.45334 | − | 0.887830i | ||||
\(317\) | −18.7046 | − | 18.7046i | −1.05056 | − | 1.05056i | −0.998652 | − | 0.0519047i | \(-0.983471\pi\) |
−0.0519047 | − | 0.998652i | \(-0.516529\pi\) | |||||||
\(318\) | −0.0665501 | + | 5.36907i | −0.00373195 | + | 0.301083i | ||||
\(319\) | 4.39438 | + | 1.17747i | 0.246038 | + | 0.0659257i | ||||
\(320\) | −6.86005 | − | 16.5209i | −0.383489 | − | 0.923546i | ||||
\(321\) | 3.54571 | + | 6.14135i | 0.197902 | + | 0.342777i | ||||
\(322\) | 34.1978 | + | 9.61910i | 1.90577 | + | 0.536051i | ||||
\(323\) | −16.1665 | + | 4.33181i | −0.899530 | + | 0.241028i | ||||
\(324\) | −6.22655 | − | 11.4299i | −0.345920 | − | 0.634997i | ||||
\(325\) | 16.0740 | + | 8.16246i | 0.891626 | + | 0.452772i | ||||
\(326\) | 19.2786 | − | 4.91041i | 1.06774 | − | 0.271963i | ||||
\(327\) | 1.18187 | + | 4.41080i | 0.0653575 | + | 0.243918i | ||||
\(328\) | −1.47738 | − | 6.46637i | −0.0815746 | − | 0.357045i | ||||
\(329\) | 8.98466 | − | 5.18730i | 0.495340 | − | 0.285985i | ||||
\(330\) | 2.61904 | − | 2.28479i | 0.144174 | − | 0.125774i | ||||
\(331\) | −4.24664 | + | 15.8487i | −0.233416 | + | 0.871122i | 0.745440 | + | 0.666573i | \(0.232240\pi\) |
−0.978856 | + | 0.204549i | \(0.934427\pi\) | |||||||
\(332\) | 5.99123 | + | 24.8032i | 0.328811 | + | 1.36125i | ||||
\(333\) | −3.42708 | + | 3.42708i | −0.187803 | + | 0.187803i | ||||
\(334\) | −11.5624 | − | 11.8527i | −0.632667 | − | 0.648548i | ||||
\(335\) | 7.36423 | − | 6.58689i | 0.402351 | − | 0.359880i | ||||
\(336\) | −2.60908 | + | 8.10661i | −0.142337 | + | 0.442252i | ||||
\(337\) | 1.73129 | 0.0943096 | 0.0471548 | − | 0.998888i | \(-0.484985\pi\) | ||||
0.0471548 | + | 0.998888i | \(0.484985\pi\) | |||||||
\(338\) | 13.7061 | + | 12.2533i | 0.745513 | + | 0.666491i | ||||
\(339\) | 7.21495i | 0.391862i | ||||||||
\(340\) | 12.6741 | + | 26.7029i | 0.687347 | + | 1.44817i | ||||
\(341\) | 2.11584 | − | 3.66475i | 0.114579 | − | 0.198457i | ||||
\(342\) | 6.78697 | + | 6.95733i | 0.366997 | + | 0.376209i | ||||
\(343\) | 5.20760 | − | 5.20760i | 0.281184 | − | 0.281184i | ||||
\(344\) | −9.62461 | + | 5.08942i | −0.518924 | + | 0.274403i | ||||
\(345\) | 6.31416 | + | 4.13017i | 0.339943 | + | 0.222361i | ||||
\(346\) | −3.67933 | + | 6.19420i | −0.197802 | + | 0.333002i | ||||
\(347\) | −5.63496 | − | 9.76005i | −0.302501 | − | 0.523947i | 0.674201 | − | 0.738548i | \(-0.264488\pi\) |
−0.976702 | + | 0.214601i | \(0.931155\pi\) | |||||||
\(348\) | −2.36680 | − | 0.0586824i | −0.126874 | − | 0.00314571i | ||||
\(349\) | 18.5126 | − | 4.96044i | 0.990957 | − | 0.265526i | 0.273305 | − | 0.961928i | \(-0.411883\pi\) |
0.717653 | + | 0.696401i | \(0.245217\pi\) | |||||||
\(350\) | −10.5859 | + | 26.0851i | −0.565842 | + | 1.39431i | ||||
\(351\) | 1.81019 | + | 10.8678i | 0.0966207 | + | 0.580078i | ||||
\(352\) | −11.0220 | − | 3.69877i | −0.587475 | − | 0.197145i | ||||
\(353\) | −6.91381 | + | 1.85255i | −0.367985 | + | 0.0986012i | −0.438073 | − | 0.898940i | \(-0.644339\pi\) |
0.0700878 | + | 0.997541i | \(0.477672\pi\) | |||||||
\(354\) | −8.53065 | − | 2.39949i | −0.453399 | − | 0.127531i | ||||
\(355\) | −29.9282 | + | 6.25823i | −1.58842 | + | 0.332152i | ||||
\(356\) | 0.133357 | − | 0.452517i | 0.00706792 | − | 0.0239834i | ||||
\(357\) | 3.64199 | − | 13.5921i | 0.192754 | − | 0.719369i | ||||
\(358\) | −10.8268 | − | 0.134199i | −0.572212 | − | 0.00709262i | ||||
\(359\) | 5.91629 | − | 5.91629i | 0.312250 | − | 0.312250i | −0.533531 | − | 0.845781i | \(-0.679135\pi\) |
0.845781 | + | 0.533531i | \(0.179135\pi\) | |||||||
\(360\) | 9.92370 | − | 14.0056i | 0.523025 | − | 0.738158i | ||||
\(361\) | 10.9011 | + | 6.29376i | 0.573743 | + | 0.331250i | ||||
\(362\) | −8.00167 | + | 4.48847i | −0.420559 | + | 0.235909i | ||||
\(363\) | 3.62366i | 0.190193i | ||||||||
\(364\) | −17.2628 | + | 22.9388i | −0.904817 | + | 1.20232i | ||||
\(365\) | −7.13500 | − | 2.34437i | −0.373463 | − | 0.122710i | ||||
\(366\) | −0.958220 | − | 1.70824i | −0.0500869 | − | 0.0892909i | ||||
\(367\) | 11.4033 | − | 19.7511i | 0.595246 | − | 1.03100i | −0.398266 | − | 0.917270i | \(-0.630388\pi\) |
0.993512 | − | 0.113727i | \(-0.0362788\pi\) | |||||||
\(368\) | 1.25076 | − | 25.2075i | 0.0652003 | − | 1.31403i | ||||
\(369\) | 4.50051 | − | 4.50051i | 0.234287 | − | 0.234287i | ||||
\(370\) | −5.34267 | − | 1.82913i | −0.277752 | − | 0.0950921i | ||||
\(371\) | −27.3027 | − | 7.31573i | −1.41748 | − | 0.379814i | ||||
\(372\) | −0.622518 | + | 2.11237i | −0.0322761 | + | 0.109521i | ||||
\(373\) | 3.53828 | − | 2.04283i | 0.183205 | − | 0.105774i | −0.405593 | − | 0.914054i | \(-0.632935\pi\) |
0.588798 | + | 0.808280i | \(0.299601\pi\) | |||||||
\(374\) | 18.4926 | + | 5.20158i | 0.956231 | + | 0.268967i | ||||
\(375\) | −3.80851 | + | 4.60902i | −0.196670 | + | 0.238009i | ||||
\(376\) | −5.01446 | − | 5.40195i | −0.258601 | − | 0.278584i | ||||
\(377\) | −7.47364 | − | 2.80073i | −0.384912 | − | 0.144245i | ||||
\(378\) | −16.6721 | + | 4.24651i | −0.857518 | + | 0.218417i | ||||
\(379\) | −8.58361 | + | 2.29997i | −0.440911 | + | 0.118142i | −0.472443 | − | 0.881361i | \(-0.656628\pi\) |
0.0315327 | + | 0.999503i | \(0.489961\pi\) | |||||||
\(380\) | −3.80066 | + | 10.6679i | −0.194970 | + | 0.547253i | ||||
\(381\) | 7.58640 | − | 4.38001i | 0.388663 | − | 0.224395i | ||||
\(382\) | 1.74471 | + | 1.03635i | 0.0892672 | + | 0.0530244i | ||||
\(383\) | 15.7677 | + | 4.22494i | 0.805692 | + | 0.215884i | 0.638081 | − | 0.769969i | \(-0.279728\pi\) |
0.167610 | + | 0.985853i | \(0.446395\pi\) | |||||||
\(384\) | 6.02751 | + | 0.524269i | 0.307590 | + | 0.0267540i | ||||
\(385\) | 8.25233 | + | 16.3292i | 0.420578 | + | 0.832212i | ||||
\(386\) | −19.5138 | + | 19.0360i | −0.993226 | + | 0.968905i | ||||
\(387\) | −9.04737 | − | 5.22350i | −0.459904 | − | 0.265525i | ||||
\(388\) | −8.35585 | − | 8.78073i | −0.424204 | − | 0.445774i | ||||
\(389\) | 26.9878i | 1.36833i | 0.729325 | + | 0.684167i | \(0.239834\pi\) | ||||
−0.729325 | + | 0.684167i | \(0.760166\pi\) | |||||||
\(390\) | −4.96040 | + | 3.54571i | −0.251180 | + | 0.179544i | ||||
\(391\) | 41.7027i | 2.10900i | ||||||||
\(392\) | −21.1974 | − | 13.3128i | −1.07063 | − | 0.672398i | ||||
\(393\) | −4.25090 | − | 2.45426i | −0.214430 | − | 0.123801i | ||||
\(394\) | 15.7730 | + | 16.1690i | 0.794634 | + | 0.814580i | ||||
\(395\) | 30.2092 | − | 15.2669i | 1.51999 | − | 0.768163i | ||||
\(396\) | −2.61936 | − | 10.8439i | −0.131628 | − | 0.544928i | ||||
\(397\) | −16.1349 | − | 4.32334i | −0.809789 | − | 0.216982i | −0.169911 | − | 0.985459i | \(-0.554348\pi\) |
−0.639877 | + | 0.768477i | \(0.721015\pi\) | |||||||
\(398\) | 0.0950894 | − | 0.160084i | 0.00476640 | − | 0.00802430i | ||||
\(399\) | 4.66902 | − | 2.69566i | 0.233743 | − | 0.134952i | ||||
\(400\) | 19.7417 | + | 3.20415i | 0.987083 | + | 0.160207i | ||||
\(401\) | 10.8354 | − | 2.90335i | 0.541096 | − | 0.144986i | 0.0220888 | − | 0.999756i | \(-0.492968\pi\) |
0.519007 | + | 0.854770i | \(0.326302\pi\) | |||||||
\(402\) | 0.824821 | + | 3.23830i | 0.0411383 | + | 0.161512i | ||||
\(403\) | −4.31560 | + | 6.04058i | −0.214976 | + | 0.300903i | ||||
\(404\) | −25.1349 | + | 13.6924i | −1.25051 | + | 0.681224i | ||||
\(405\) | 14.5297 | + | 0.809579i | 0.721985 | + | 0.0402283i | ||||
\(406\) | 3.37463 | − | 11.9975i | 0.167480 | − | 0.595424i | ||||
\(407\) | −3.17845 | + | 1.83508i | −0.157550 | + | 0.0909614i | ||||
\(408\) | −9.99020 | − | 0.371640i | −0.494588 | − | 0.0183989i | ||||
\(409\) | 10.3350 | + | 2.76924i | 0.511031 | + | 0.136930i | 0.505115 | − | 0.863052i | \(-0.331450\pi\) |
0.00591606 | + | 0.999982i | \(0.498117\pi\) | |||||||
\(410\) | 7.01611 | + | 2.40206i | 0.346501 | + | 0.118629i | ||||
\(411\) | −5.32612 | + | 5.32612i | −0.262718 | + | 0.262718i | ||||
\(412\) | 26.5095 | + | 16.1944i | 1.30603 | + | 0.797840i | ||||
\(413\) | 23.3246 | − | 40.3994i | 1.14773 | − | 1.98793i | ||||
\(414\) | 21.1216 | − | 11.8480i | 1.03807 | − | 0.582295i | ||||
\(415\) | −27.1028 | − | 8.90528i | −1.33043 | − | 0.437143i | ||||
\(416\) | 18.6191 | + | 8.32642i | 0.912876 | + | 0.408236i | ||||
\(417\) | − | 1.43370i | − | 0.0702085i | ||||||
\(418\) | 3.60079 | + | 6.41919i | 0.176120 | + | 0.313973i | ||||
\(419\) | 32.0299 | + | 18.4925i | 1.56476 | + | 0.903416i | 0.996764 | + | 0.0803859i | \(0.0256153\pi\) |
0.567998 | + | 0.823030i | \(0.307718\pi\) | |||||||
\(420\) | −6.16976 | − | 7.25187i | −0.301053 | − | 0.353855i | ||||
\(421\) | −22.3647 | + | 22.3647i | −1.08999 | + | 1.08999i | −0.0944602 | + | 0.995529i | \(0.530113\pi\) |
−0.995529 | + | 0.0944602i | \(0.969887\pi\) | |||||||
\(422\) | 0.367239 | − | 29.6278i | 0.0178769 | − | 1.44226i | ||||
\(423\) | 1.83049 | − | 6.83148i | 0.0890014 | − | 0.332158i | ||||
\(424\) | −0.746521 | + | 20.0675i | −0.0362542 | + | 0.974564i | ||||
\(425\) | −32.8423 | − | 3.67128i | −1.59308 | − | 0.178083i | ||||
\(426\) | 2.80011 | − | 9.95493i | 0.135666 | − | 0.482318i | ||||
\(427\) | 9.95923 | − | 2.66857i | 0.481961 | − | 0.129141i | ||||
\(428\) | 12.6872 | + | 23.2897i | 0.613261 | + | 1.12575i | ||||
\(429\) | −0.382799 | + | 3.94424i | −0.0184817 | + | 0.190430i | ||||
\(430\) | 0.827769 | − | 12.1443i | 0.0399186 | − | 0.585650i | ||||
\(431\) | −23.6235 | + | 6.32990i | −1.13790 | + | 0.304900i | −0.778108 | − | 0.628131i | \(-0.783820\pi\) |
−0.359796 | + | 0.933031i | \(0.617154\pi\) | |||||||
\(432\) | 5.57932 | + | 10.8751i | 0.268435 | + | 0.523230i | ||||
\(433\) | 19.6299 | + | 34.0000i | 0.943354 | + | 1.63394i | 0.759014 | + | 0.651075i | \(0.225682\pi\) |
0.184341 | + | 0.982862i | \(0.440985\pi\) | |||||||
\(434\) | −9.96693 | − | 5.92032i | −0.478428 | − | 0.284184i | ||||
\(435\) | 1.44897 | − | 2.21517i | 0.0694727 | − | 0.106209i | ||||
\(436\) | 4.00985 | + | 16.6004i | 0.192037 | + | 0.795017i | ||||
\(437\) | −11.2980 | + | 11.2980i | −0.540458 | + | 0.540458i | ||||
\(438\) | 1.81827 | − | 1.77374i | 0.0868801 | − | 0.0847527i | ||||
\(439\) | 14.5313 | − | 25.1689i | 0.693540 | − | 1.20125i | −0.277130 | − | 0.960832i | \(-0.589383\pi\) |
0.970670 | − | 0.240415i | \(-0.0772834\pi\) | |||||||
\(440\) | 10.0038 | − | 8.29950i | 0.476910 | − | 0.395663i | ||||
\(441\) | − | 24.0187i | − | 1.14375i | ||||||
\(442\) | −31.4091 | − | 12.2165i | −1.49398 | − | 0.581082i | ||||
\(443\) | 27.2284 | 1.29366 | 0.646829 | − | 0.762635i | \(-0.276095\pi\) | ||||
0.646829 | + | 0.762635i | \(0.276095\pi\) | |||||||
\(444\) | 1.38361 | − | 1.31666i | 0.0656632 | − | 0.0624859i | ||||
\(445\) | 0.351631 | + | 0.393129i | 0.0166689 | + | 0.0186361i | ||||
\(446\) | 8.31561 | − | 8.11199i | 0.393756 | − | 0.384114i | ||||
\(447\) | −3.49373 | + | 3.49373i | −0.165248 | + | 0.165248i | ||||
\(448\) | −10.5062 | + | 30.0668i | −0.496371 | + | 1.42052i | ||||
\(449\) | 0.0977341 | − | 0.364749i | 0.00461236 | − | 0.0172136i | −0.963581 | − | 0.267416i | \(-0.913830\pi\) |
0.968194 | + | 0.250202i | \(0.0804970\pi\) | |||||||
\(450\) | 7.47123 | + | 17.6770i | 0.352197 | + | 0.833300i | ||||
\(451\) | 4.17400 | − | 2.40986i | 0.196546 | − | 0.113476i | ||||
\(452\) | −0.668816 | + | 26.9749i | −0.0314584 | + | 1.26879i | ||||
\(453\) | 0.998608 | + | 3.72685i | 0.0469187 | + | 0.175103i | ||||
\(454\) | 0.824571 | + | 3.23732i | 0.0386990 | + | 0.151935i | ||||
\(455\) | −11.6424 | − | 29.9114i | −0.545806 | − | 1.40227i | ||||
\(456\) | −2.60584 | − | 2.80721i | −0.122030 | − | 0.131460i | ||||
\(457\) | 25.3740 | − | 6.79893i | 1.18694 | − | 0.318041i | 0.389266 | − | 0.921125i | \(-0.372729\pi\) |
0.797677 | + | 0.603085i | \(0.206062\pi\) | |||||||
\(458\) | −0.962531 | + | 3.42198i | −0.0449761 | + | 0.159899i | ||||
\(459\) | −10.0981 | − | 17.4905i | −0.471340 | − | 0.816385i | ||||
\(460\) | 23.2242 | + | 16.0270i | 1.08284 | + | 0.747263i | ||||
\(461\) | −14.7716 | − | 3.95803i | −0.687981 | − | 0.184344i | −0.102140 | − | 0.994770i | \(-0.532569\pi\) |
−0.585841 | + | 0.810426i | \(0.699236\pi\) | |||||||
\(462\) | −6.18759 | − | 0.0766957i | −0.287873 | − | 0.00356821i | ||||
\(463\) | −1.07668 | − | 1.07668i | −0.0500377 | − | 0.0500377i | 0.681645 | − | 0.731683i | \(-0.261265\pi\) |
−0.731683 | + | 0.681645i | \(0.761265\pi\) | |||||||
\(464\) | −8.84345 | − | 0.438798i | −0.410547 | − | 0.0203707i | ||||
\(465\) | −1.64143 | − | 1.83514i | −0.0761196 | − | 0.0851028i | ||||
\(466\) | −0.691365 | − | 1.23251i | −0.0320268 | − | 0.0570949i | ||||
\(467\) | − | 4.38743i | − | 0.203026i | −0.994834 | − | 0.101513i | \(-0.967632\pi\) | ||
0.994834 | − | 0.101513i | \(-0.0323683\pi\) | |||||||
\(468\) | 2.73606 | + | 19.3789i | 0.126475 | + | 0.895788i | ||||
\(469\) | −17.5912 | −0.812285 | ||||||||
\(470\) | 8.08641 | − | 1.58659i | 0.372998 | − | 0.0731840i | ||||
\(471\) | −1.24246 | − | 0.717332i | −0.0572494 | − | 0.0330529i | ||||
\(472\) | −31.6716 | − | 9.76188i | −1.45780 | − | 0.449327i | ||||
\(473\) | −5.59399 | − | 5.59399i | −0.257212 | − | 0.257212i | ||||
\(474\) | −0.141888 | + | 11.4471i | −0.00651714 | + | 0.525784i | ||||
\(475\) | −7.90296 | − | 9.89219i | −0.362613 | − | 0.453885i | ||||
\(476\) | 14.8765 | − | 50.4799i | 0.681862 | − | 2.31374i | ||||
\(477\) | −16.6875 | + | 9.63454i | −0.764069 | + | 0.441135i | ||||
\(478\) | 9.20235 | − | 32.7162i | 0.420906 | − | 1.49640i | ||||
\(479\) | −4.12518 | − | 15.3954i | −0.188484 | − | 0.703433i | −0.993858 | − | 0.110665i | \(-0.964702\pi\) |
0.805373 | − | 0.592768i | \(-0.201965\pi\) | |||||||
\(480\) | −4.04635 | + | 5.42071i | −0.184690 | + | 0.247421i | ||||
\(481\) | 5.86098 | − | 2.66565i | 0.267238 | − | 0.121543i | ||||
\(482\) | 30.3857 | − | 7.73948i | 1.38403 | − | 0.352524i | ||||
\(483\) | −3.47682 | − | 12.9757i | −0.158201 | − | 0.590414i | ||||
\(484\) | −0.335909 | + | 13.5480i | −0.0152686 | + | 0.615818i | ||||
\(485\) | 13.2649 | − | 2.77380i | 0.602329 | − | 0.125952i | ||||
\(486\) | −9.13434 | + | 15.3778i | −0.414342 | + | 0.697550i | ||||
\(487\) | −9.28834 | − | 2.48880i | −0.420895 | − | 0.112778i | 0.0421541 | − | 0.999111i | \(-0.486578\pi\) |
−0.463049 | + | 0.886333i | \(0.653245\pi\) | |||||||
\(488\) | −3.42420 | − | 6.47551i | −0.155006 | − | 0.293132i | ||||
\(489\) | −5.31942 | − | 5.31942i | −0.240552 | − | 0.240552i | ||||
\(490\) | 25.1318 | − | 12.3123i | 1.13534 | − | 0.556214i | ||||
\(491\) | 10.0929 | − | 17.4813i | 0.455484 | − | 0.788922i | −0.543232 | − | 0.839583i | \(-0.682799\pi\) |
0.998716 | + | 0.0506608i | \(0.0161327\pi\) | |||||||
\(492\) | −1.81699 | + | 1.72907i | −0.0819161 | + | 0.0779523i | ||||
\(493\) | 14.6304 | 0.658920 | ||||||||
\(494\) | −5.19962 | − | 11.8190i | −0.233942 | − | 0.531762i | ||||
\(495\) | 11.8493 | + | 3.89338i | 0.532587 | + | 0.174994i | ||||
\(496\) | −2.52326 | + | 7.83994i | −0.113298 | + | 0.352024i | ||||
\(497\) | 47.1446 | + | 27.2189i | 2.11472 | + | 1.22094i | ||||
\(498\) | 6.90682 | − | 6.73770i | 0.309502 | − | 0.301923i | ||||
\(499\) | −2.37772 | − | 2.37772i | −0.106441 | − | 0.106441i | 0.651880 | − | 0.758322i | \(-0.273980\pi\) |
−0.758322 | + | 0.651880i | \(0.773980\pi\) | |||||||
\(500\) | −14.6663 | + | 16.8789i | −0.655898 | + | 0.754849i | ||||
\(501\) | −1.62056 | + | 6.04800i | −0.0724012 | + | 0.270205i | ||||
\(502\) | −7.27837 | + | 12.2532i | −0.324850 | + | 0.546888i | ||||
\(503\) | −11.2864 | − | 19.5486i | −0.503235 | − | 0.871628i | −0.999993 | − | 0.00373916i | \(-0.998810\pi\) |
0.496758 | − | 0.867889i | \(-0.334524\pi\) | |||||||
\(504\) | −29.7935 | + | 6.80696i | −1.32711 | + | 0.303206i | ||||
\(505\) | 1.78030 | − | 31.9513i | 0.0792221 | − | 1.42182i | ||||
\(506\) | 17.7716 | − | 4.52658i | 0.790046 | − | 0.201231i | ||||
\(507\) | 1.33684 | − | 6.82230i | 0.0593710 | − | 0.302989i | ||||
\(508\) | 28.7697 | − | 15.6726i | 1.27645 | − | 0.695357i | ||||
\(509\) | −6.77162 | − | 25.2720i | −0.300147 | − | 1.12016i | −0.937043 | − | 0.349213i | \(-0.886449\pi\) |
0.636897 | − | 0.770949i | \(-0.280218\pi\) | |||||||
\(510\) | 6.23386 | − | 9.27721i | 0.276040 | − | 0.410802i | ||||
\(511\) | 6.68581 | + | 11.5802i | 0.295763 | + | 0.512276i | ||||
\(512\) | 22.4868 | + | 2.51886i | 0.993785 | + | 0.111319i | ||||
\(513\) | 2.00272 | − | 7.47425i | 0.0884223 | − | 0.329996i | ||||
\(514\) | −3.45518 | − | 0.0428273i | −0.152402 | − | 0.00188903i | ||||
\(515\) | −30.9977 | + | 15.6654i | −1.36592 | + | 0.690302i | ||||
\(516\) | 3.51329 | + | 2.14623i | 0.154664 | + | 0.0944825i | ||||
\(517\) | 2.67785 | − | 4.63817i | 0.117772 | − | 0.203987i | ||||
\(518\) | 4.91887 | + | 8.76896i | 0.216123 | + | 0.385286i | ||||
\(519\) | 2.72434 | 0.119585 | ||||||||
\(520\) | −18.8744 | + | 12.7967i | −0.827698 | + | 0.561174i | ||||
\(521\) | 6.76217 | 0.296256 | 0.148128 | − | 0.988968i | \(-0.452675\pi\) | ||||
0.148128 | + | 0.988968i | \(0.452675\pi\) | |||||||
\(522\) | −4.15657 | − | 7.40999i | −0.181928 | − | 0.324327i | ||||
\(523\) | 8.25002 | − | 14.2895i | 0.360748 | − | 0.624834i | −0.627336 | − | 0.778749i | \(-0.715855\pi\) |
0.988084 | + | 0.153915i | \(0.0491881\pi\) | |||||||
\(524\) | −15.6656 | − | 9.56993i | −0.684354 | − | 0.418064i | ||||
\(525\) | 10.5249 | − | 1.59581i | 0.459343 | − | 0.0696468i | ||||
\(526\) | 25.2878 | + | 0.313444i | 1.10260 | + | 0.0136668i | ||||
\(527\) | 3.52218 | − | 13.1450i | 0.153429 | − | 0.572603i | ||||
\(528\) | 0.926002 | + | 4.29767i | 0.0402991 | + | 0.187032i | ||||
\(529\) | 8.40576 | + | 14.5592i | 0.365468 | + | 0.633009i | ||||
\(530\) | −18.6353 | − | 12.5221i | −0.809466 | − | 0.543924i | ||||
\(531\) | −8.23078 | − | 30.7177i | −0.357185 | − | 1.33303i | ||||
\(532\) | 17.7062 | − | 9.64561i | 0.767662 | − | 0.418190i | ||||
\(533\) | −7.69677 | + | 3.50059i | −0.333384 | + | 0.151627i | ||||
\(534\) | −0.172872 | + | 0.0440319i | −0.00748090 | + | 0.00190545i | ||||
\(535\) | −29.6057 | − | 1.64960i | −1.27997 | − | 0.0713185i | ||||
\(536\) | 2.78362 | + | 12.1837i | 0.120234 | + | 0.526254i | ||||
\(537\) | 2.04718 | + | 3.54582i | 0.0883424 | + | 0.153014i | ||||
\(538\) | −11.5552 | + | 19.4534i | −0.498182 | + | 0.838695i | ||||
\(539\) | 4.70750 | − | 17.5686i | 0.202767 | − | 0.756735i | ||||
\(540\) | −13.6213 | − | 1.09821i | −0.586168 | − | 0.0472594i | ||||
\(541\) | −0.486822 | − | 0.486822i | −0.0209301 | − | 0.0209301i | 0.696564 | − | 0.717494i | \(-0.254711\pi\) |
−0.717494 | + | 0.696564i | \(0.754711\pi\) | |||||||
\(542\) | −29.4998 | + | 28.7775i | −1.26713 | + | 1.23610i | ||||
\(543\) | 3.00450 | + | 1.73465i | 0.128935 | + | 0.0744408i | ||||
\(544\) | −37.3165 | − | 2.31555i | −1.59993 | − | 0.0992784i | ||||
\(545\) | −18.1396 | − | 5.96018i | −0.777013 | − | 0.255306i | ||||
\(546\) | 10.7914 | + | 1.18251i | 0.461828 | + | 0.0506070i | ||||
\(547\) | −17.2028 | −0.735537 | −0.367768 | − | 0.929917i | \(-0.619878\pi\) | ||||
−0.367768 | + | 0.929917i | \(0.619878\pi\) | |||||||
\(548\) | −20.4068 | + | 19.4193i | −0.871735 | + | 0.829553i | ||||
\(549\) | 3.51441 | − | 6.08713i | 0.149991 | − | 0.259792i | ||||
\(550\) | 2.00032 | + | 14.3943i | 0.0852939 | + | 0.613773i | ||||
\(551\) | 3.96364 | + | 3.96364i | 0.168857 | + | 0.168857i | ||||
\(552\) | −8.43680 | + | 4.46132i | −0.359094 | + | 0.189886i | ||||
\(553\) | −58.2106 | − | 15.5975i | −2.47537 | − | 0.663273i | ||||
\(554\) | −10.0174 | + | 16.8644i | −0.425598 | + | 0.716500i | ||||
\(555\) | 0.437078 | + | 2.09020i | 0.0185529 | + | 0.0887240i | ||||
\(556\) | 0.132902 | − | 5.36025i | 0.00563629 | − | 0.227325i | ||||
\(557\) | 9.54286 | + | 35.6144i | 0.404344 | + | 1.50903i | 0.805263 | + | 0.592918i | \(0.202024\pi\) |
−0.400919 | + | 0.916113i | \(0.631309\pi\) | |||||||
\(558\) | −7.65832 | + | 1.95064i | −0.324203 | + | 0.0825771i | ||||
\(559\) | 8.81987 | + | 10.7159i | 0.373041 | + | 0.453233i | ||||
\(560\) | −22.3950 | − | 27.6849i | −0.946361 | − | 1.16990i | ||||
\(561\) | −1.88011 | − | 7.01667i | −0.0793783 | − | 0.296244i | ||||
\(562\) | −10.9910 | + | 39.0753i | −0.463629 | + | 1.64829i | ||||
\(563\) | 32.3433 | − | 18.6734i | 1.36311 | − | 0.786992i | 0.373073 | − | 0.927802i | \(-0.378304\pi\) |
0.990037 | + | 0.140810i | \(0.0449708\pi\) | |||||||
\(564\) | −0.787870 | + | 2.67346i | −0.0331753 | + | 0.112573i | ||||
\(565\) | −25.2468 | − | 16.5142i | −1.06214 | − | 0.694757i | ||||
\(566\) | −0.193102 | + | 15.5789i | −0.00811667 | + | 0.654830i | ||||
\(567\) | −18.3207 | − | 18.3207i | −0.769397 | − | 0.769397i | ||||
\(568\) | 11.3917 | − | 36.9595i | 0.477986 | − | 1.55079i | ||||
\(569\) | 2.58732 | + | 1.49379i | 0.108466 | + | 0.0626230i | 0.553252 | − | 0.833014i | \(-0.313387\pi\) |
−0.444785 | + | 0.895637i | \(0.646720\pi\) | |||||||
\(570\) | 4.20223 | − | 0.824497i | 0.176012 | − | 0.0345344i | ||||
\(571\) | 15.6042 | 0.653015 | 0.326508 | − | 0.945195i | \(-0.394128\pi\) | ||||
0.326508 | + | 0.945195i | \(0.394128\pi\) | |||||||
\(572\) | −1.79682 | + | 14.7111i | −0.0751287 | + | 0.615100i | ||||
\(573\) | − | 0.767361i | − | 0.0320570i | ||||||
\(574\) | −6.45957 | − | 11.5156i | −0.269617 | − | 0.480652i | ||||
\(575\) | −28.9048 | + | 12.6412i | −1.20541 | + | 0.527175i | ||||
\(576\) | 9.42902 | + | 19.5579i | 0.392876 | + | 0.814912i | ||||
\(577\) | 18.7109 | + | 18.7109i | 0.778943 | + | 0.778943i | 0.979651 | − | 0.200708i | \(-0.0643243\pi\) |
−0.200708 | + | 0.979651i | \(0.564324\pi\) | |||||||
\(578\) | 37.7336 | + | 0.467711i | 1.56951 | + | 0.0194542i | ||||
\(579\) | 9.95722 | + | 2.66803i | 0.413808 | + | 0.110880i | ||||
\(580\) | 5.62268 | − | 8.14767i | 0.233469 | − | 0.338313i | ||||
\(581\) | 25.3966 | + | 43.9881i | 1.05363 | + | 1.82494i | ||||
\(582\) | −1.24108 | + | 4.41228i | −0.0514444 | + | 0.182895i | ||||
\(583\) | −14.0945 | + | 3.77661i | −0.583735 | + | 0.156411i | ||||
\(584\) | 6.96247 | − | 6.46304i | 0.288109 | − | 0.267442i | ||||
\(585\) | −20.0307 | − | 8.80643i | −0.828168 | − | 0.364101i | ||||
\(586\) | −4.97567 | − | 19.5348i | −0.205543 | − | 0.806975i | ||||
\(587\) | 11.7989 | + | 44.0340i | 0.486991 | + | 1.81748i | 0.570922 | + | 0.821004i | \(0.306586\pi\) |
−0.0839311 | + | 0.996472i | \(0.526748\pi\) | |||||||
\(588\) | −0.234611 | + | 9.46243i | −0.00967520 | + | 0.390224i | ||||
\(589\) | 4.51543 | − | 2.60699i | 0.186055 | − | 0.107419i | ||||
\(590\) | 27.9220 | − | 24.3585i | 1.14953 | − | 1.00283i | ||||
\(591\) | 2.21071 | − | 8.25046i | 0.0909363 | − | 0.339379i | ||||
\(592\) | 5.29503 | − | 4.79441i | 0.217625 | − | 0.197049i | ||||
\(593\) | 9.11249 | − | 9.11249i | 0.374205 | − | 0.374205i | −0.494801 | − | 0.869006i | \(-0.664759\pi\) |
0.869006 | + | 0.494801i | \(0.164759\pi\) | |||||||
\(594\) | −6.35749 | + | 6.20181i | −0.260851 | + | 0.254464i | ||||
\(595\) | 39.2257 | + | 43.8549i | 1.60810 | + | 1.79787i | ||||
\(596\) | −13.3861 | + | 12.7383i | −0.548314 | + | 0.521782i | ||||
\(597\) | −0.0704085 | −0.00288163 | ||||||||
\(598\) | −31.7988 | + | 4.89232i | −1.30035 | + | 0.200062i | ||||
\(599\) | − | 16.7004i | − | 0.682358i | −0.939998 | − | 0.341179i | \(-0.889174\pi\) | ||
0.939998 | − | 0.341179i | \(-0.110826\pi\) | |||||||
\(600\) | −2.77071 | − | 7.03702i | −0.113114 | − | 0.287285i | ||||
\(601\) | 7.83276 | − | 13.5667i | 0.319505 | − | 0.553399i | −0.660880 | − | 0.750492i | \(-0.729817\pi\) |
0.980385 | + | 0.197093i | \(0.0631500\pi\) | |||||||
\(602\) | −15.5134 | + | 15.1336i | −0.632281 | + | 0.616799i | ||||
\(603\) | −8.47969 | + | 8.47969i | −0.345320 | + | 0.345320i | ||||
\(604\) | 3.38808 | + | 14.0264i | 0.137859 | + | 0.570725i | ||||
\(605\) | −12.6800 | − | 8.29416i | −0.515517 | − | 0.337205i | ||||
\(606\) | 9.30550 | + | 5.52743i | 0.378010 | + | 0.224536i | ||||
\(607\) | −3.98035 | − | 6.89417i | −0.161558 | − | 0.279826i | 0.773870 | − | 0.633345i | \(-0.218318\pi\) |
−0.935427 | + | 0.353519i | \(0.884985\pi\) | |||||||
\(608\) | −9.48238 | − | 10.7370i | −0.384561 | − | 0.435444i | ||||
\(609\) | −4.55221 | + | 1.21976i | −0.184465 | + | 0.0494272i | ||||
\(610\) | 8.17077 | + | 0.556929i | 0.330825 | + | 0.0225494i | ||||
\(611\) | −5.46191 | + | 7.64507i | −0.220965 | + | 0.309286i | ||||
\(612\) | −17.1623 | − | 31.5045i | −0.693746 | − | 1.27349i | ||||
\(613\) | 22.2660 | − | 5.96616i | 0.899316 | − | 0.240971i | 0.220594 | − | 0.975366i | \(-0.429201\pi\) |
0.678723 | + | 0.734395i | \(0.262534\pi\) | |||||||
\(614\) | 5.87258 | − | 20.8782i | 0.236998 | − | 0.842575i | ||||
\(615\) | −0.573980 | − | 2.74489i | −0.0231451 | − | 0.110685i | ||||
\(616\) | −23.1268 | − | 0.860328i | −0.931805 | − | 0.0346636i | ||||
\(617\) | 2.48012 | − | 9.25594i | 0.0998459 | − | 0.372630i | −0.897864 | − | 0.440274i | \(-0.854881\pi\) |
0.997710 | + | 0.0676436i | \(0.0215481\pi\) | |||||||
\(618\) | 0.145592 | − | 11.7459i | 0.00585656 | − | 0.472491i | ||||
\(619\) | −0.472178 | + | 0.472178i | −0.0189784 | + | 0.0189784i | −0.716532 | − | 0.697554i | \(-0.754272\pi\) |
0.697554 | + | 0.716532i | \(0.254272\pi\) | |||||||
\(620\) | −5.96680 | − | 7.01332i | −0.239633 | − | 0.281662i | ||||
\(621\) | −16.6973 | − | 9.64018i | −0.670039 | − | 0.386847i | ||||
\(622\) | −2.37078 | − | 4.22643i | −0.0950595 | − | 0.169464i | ||||
\(623\) | − | 0.939079i | − | 0.0376234i | ||||||
\(624\) | −0.888612 | − | 7.66124i | −0.0355729 | − | 0.306695i | ||||
\(625\) | −7.41076 | − | 23.8764i | −0.296431 | − | 0.955054i | ||||
\(626\) | 16.7084 | − | 9.37245i | 0.667804 | − | 0.374598i | ||||
\(627\) | 1.39159 | − | 2.41030i | 0.0555746 | − | 0.0962581i | ||||
\(628\) | −4.57875 | − | 2.79711i | −0.182712 | − | 0.111617i | ||||
\(629\) | −8.34586 | + | 8.34586i | −0.332771 | + | 0.332771i | ||||
\(630\) | 11.0674 | − | 32.3264i | 0.440935 | − | 1.28792i | ||||
\(631\) | 9.46627 | + | 2.53648i | 0.376846 | + | 0.100976i | 0.442270 | − | 0.896882i | \(-0.354173\pi\) |
−0.0654239 | + | 0.997858i | \(0.520840\pi\) | |||||||
\(632\) | −1.59162 | + | 42.7849i | −0.0633112 | + | 1.70189i | ||||
\(633\) | −9.70325 | + | 5.60218i | −0.385670 | + | 0.222666i | ||||
\(634\) | −10.1293 | + | 36.0118i | −0.402288 | + | 1.43021i | ||||
\(635\) | −2.03775 | + | 36.5719i | −0.0808657 | + | 1.45131i | ||||
\(636\) | 6.66834 | − | 3.63263i | 0.264417 | − | 0.144043i | ||||
\(637\) | −11.1972 | + | 29.8795i | −0.443651 | + | 1.18387i | ||||
\(638\) | −1.58804 | − | 6.23475i | −0.0628712 | − | 0.246836i | ||||
\(639\) | 35.8463 | − | 9.60500i | 1.41806 | − | 0.379968i | ||||
\(640\) | −15.6308 | + | 19.8916i | −0.617863 | + | 0.786286i | ||||
\(641\) | −24.3986 | + | 14.0865i | −0.963686 | + | 0.556384i | −0.897306 | − | 0.441410i | \(-0.854478\pi\) |
−0.0663806 | + | 0.997794i | \(0.521145\pi\) | |||||||
\(642\) | 5.12165 | − | 8.62236i | 0.202135 | − | 0.340297i | ||||
\(643\) | −22.6717 | − | 6.07486i | −0.894085 | − | 0.239569i | −0.217611 | − | 0.976036i | \(-0.569826\pi\) |
−0.676474 | + | 0.736466i | \(0.736493\pi\) | |||||||
\(644\) | −11.7962 | − | 48.8352i | −0.464834 | − | 1.92438i | ||||
\(645\) | −4.10811 | + | 2.07613i | −0.161757 | + | 0.0817475i | ||||
\(646\) | 16.5281 | + | 16.9430i | 0.650289 | + | 0.666613i | ||||
\(647\) | −16.3519 | − | 9.44077i | −0.642859 | − | 0.371155i | 0.142856 | − | 0.989743i | \(-0.454371\pi\) |
−0.785715 | + | 0.618589i | \(0.787705\pi\) | |||||||
\(648\) | −9.78987 | + | 15.5880i | −0.384583 | + | 0.612354i | ||||
\(649\) | − | 24.0818i | − | 0.945295i | ||||||
\(650\) | −1.05347 | − | 25.4733i | −0.0413206 | − | 0.999146i | ||||
\(651\) | 4.38367i | 0.171810i | ||||||||
\(652\) | −19.3949 | − | 20.3811i | −0.759563 | − | 0.798186i | ||||
\(653\) | 5.33912 | + | 3.08254i | 0.208936 | + | 0.120629i | 0.600817 | − | 0.799387i | \(-0.294842\pi\) |
−0.391881 | + | 0.920016i | \(0.628175\pi\) | |||||||
\(654\) | 4.62264 | − | 4.50944i | 0.180759 | − | 0.176333i | ||||
\(655\) | 18.3179 | − | 9.25736i | 0.715738 | − | 0.361715i | ||||
\(656\) | −6.95355 | + | 6.29613i | −0.271491 | + | 0.245822i | ||||
\(657\) | 8.80497 | + | 2.35928i | 0.343514 | + | 0.0920444i | ||||
\(658\) | −12.6143 | − | 7.49286i | −0.491758 | − | 0.292102i | ||||
\(659\) | 20.1255 | − | 11.6194i | 0.783976 | − | 0.452629i | −0.0538614 | − | 0.998548i | \(-0.517153\pi\) |
0.837838 | + | 0.545920i | \(0.183820\pi\) | |||||||
\(660\) | −4.63014 | − | 1.64958i | −0.180228 | − | 0.0642098i | ||||
\(661\) | −47.3048 | + | 12.6753i | −1.83994 | + | 0.493011i | −0.998853 | − | 0.0478833i | \(-0.984752\pi\) |
−0.841090 | + | 0.540895i | \(0.818086\pi\) | |||||||
\(662\) | 22.4861 | − | 5.72740i | 0.873948 | − | 0.222602i | ||||
\(663\) | 2.09383 | + | 12.5707i | 0.0813178 | + | 0.488204i | ||||
\(664\) | 26.4475 | − | 24.5503i | 1.02636 | − | 0.952738i | ||||
\(665\) | −1.25413 | + | 22.5080i | −0.0486329 | + | 0.872825i | ||||
\(666\) | 6.59811 | + | 1.85591i | 0.255672 | + | 0.0719149i | ||||
\(667\) | 12.0957 | − | 6.98345i | 0.468347 | − | 0.270400i | ||||
\(668\) | −6.61951 | + | 22.4618i | −0.256117 | + | 0.869073i | ||||
\(669\) | −4.24317 | − | 1.13695i | −0.164051 | − | 0.0439572i | ||||
\(670\) | −13.2195 | − | 4.52586i | −0.510713 | − | 0.174849i | ||||
\(671\) | 3.76368 | − | 3.76368i | 0.145295 | − | 0.145295i | ||||
\(672\) | 11.8040 | − | 2.39066i | 0.455348 | − | 0.0922216i | ||||
\(673\) | −9.43642 | + | 16.3444i | −0.363747 | + | 0.630029i | −0.988574 | − | 0.150734i | \(-0.951836\pi\) |
0.624827 | + | 0.780763i | \(0.285169\pi\) | |||||||
\(674\) | −1.19784 | − | 2.13540i | −0.0461389 | − | 0.0822527i | ||||
\(675\) | 9.06190 | − | 12.3010i | 0.348793 | − | 0.473466i | ||||
\(676\) | 5.63053 | − | 25.3830i | 0.216559 | − | 0.976270i | ||||
\(677\) | 1.24456i | 0.0478324i | 0.999714 | + | 0.0239162i | \(0.00761349\pi\) | ||||
−0.999714 | + | 0.0239162i | \(0.992387\pi\) | |||||||
\(678\) | 8.89902 | − | 4.99182i | 0.341765 | − | 0.191710i | ||||
\(679\) | −20.8957 | − | 12.0641i | −0.801902 | − | 0.462978i | ||||
\(680\) | 24.1669 | − | 34.1074i | 0.926758 | − | 1.30796i | ||||
\(681\) | 0.893252 | − | 0.893252i | 0.0342295 | − | 0.0342295i | ||||
\(682\) | −5.98405 | − | 0.0741728i | −0.229141 | − | 0.00284022i | ||||
\(683\) | −6.98855 | + | 26.0816i | −0.267409 | + | 0.997985i | 0.693350 | + | 0.720601i | \(0.256134\pi\) |
−0.960759 | + | 0.277384i | \(0.910533\pi\) | |||||||
\(684\) | 3.88555 | − | 13.1847i | 0.148568 | − | 0.504131i | ||||
\(685\) | −6.44643 | − | 30.8282i | −0.246305 | − | 1.17789i | ||||
\(686\) | −10.0261 | − | 2.82013i | −0.382799 | − | 0.107673i | ||||
\(687\) | 1.29841 | − | 0.347907i | 0.0495373 | − | 0.0132735i | ||||
\(688\) | 12.9364 | + | 8.34990i | 0.493195 | + | 0.318337i | ||||
\(689\) | 25.2509 | − | 4.20592i | 0.961984 | − | 0.160233i | ||||
\(690\) | 0.725611 | − | 10.6455i | 0.0276236 | − | 0.405268i | ||||
\(691\) | 27.8279 | − | 7.45647i | 1.05862 | − | 0.283657i | 0.312813 | − | 0.949815i | \(-0.398729\pi\) |
0.745811 | + | 0.666158i | \(0.232062\pi\) | |||||||
\(692\) | 10.1856 | + | 0.252543i | 0.387200 | + | 0.00960023i | ||||
\(693\) | −11.1033 | − | 19.2315i | −0.421781 | − | 0.730546i | ||||
\(694\) | −8.13950 | + | 13.7030i | −0.308971 | + | 0.520157i | ||||
\(695\) | 5.01684 | + | 3.28157i | 0.190299 | + | 0.124477i | ||||
\(696\) | 1.56515 | + | 2.95985i | 0.0593267 | + | 0.112193i | ||||
\(697\) | 10.9600 | − | 10.9600i | 0.415138 | − | 0.415138i | ||||
\(698\) | −18.9267 | − | 19.4017i | −0.716384 | − | 0.734366i | ||||
\(699\) | −0.267190 | + | 0.462787i | −0.0101061 | + | 0.0175042i | ||||
\(700\) | 39.4978 | − | 4.99070i | 1.49288 | − | 0.188631i | ||||
\(701\) | − | 6.05688i | − | 0.228765i | −0.993437 | − | 0.114383i | \(-0.963511\pi\) | ||
0.993437 | − | 0.114383i | \(-0.0364890\pi\) | |||||||
\(702\) | 12.1520 | − | 9.75182i | 0.458649 | − | 0.368059i | ||||
\(703\) | −4.52209 | −0.170554 | ||||||||
\(704\) | 3.06371 | + | 16.1538i | 0.115468 | + | 0.608819i | ||||
\(705\) | −2.07743 | − | 2.32259i | −0.0782404 | − | 0.0874739i | ||||
\(706\) | 7.06844 | + | 7.24586i | 0.266024 | + | 0.272702i | ||||
\(707\) | −40.2879 | + | 40.2879i | −1.51518 | + | 1.51518i | ||||
\(708\) | 2.94256 | + | 12.1820i | 0.110588 | + | 0.457826i | ||||
\(709\) | −8.62369 | + | 32.1840i | −0.323869 | + | 1.20870i | 0.591574 | + | 0.806250i | \(0.298507\pi\) |
−0.915444 | + | 0.402446i | \(0.868160\pi\) | |||||||
\(710\) | 28.4255 | + | 32.5839i | 1.06679 | + | 1.22285i | ||||
\(711\) | −35.5786 | + | 20.5413i | −1.33430 | + | 0.770360i | ||||
\(712\) | −0.650407 | + | 0.148599i | −0.0243750 | + | 0.00556900i | ||||
\(713\) | −3.36245 | − | 12.5488i | −0.125925 | − | 0.469958i | ||||
\(714\) | −19.2845 | + | 4.91191i | −0.721703 | + | 0.183824i | ||||
\(715\) | −12.9256 | − | 10.3674i | −0.483391 | − | 0.387719i | ||||
\(716\) | 7.32522 | + | 13.4467i | 0.273756 | + | 0.502528i | ||||
\(717\) | −12.4135 | + | 3.32619i | −0.463591 | + | 0.124219i | ||||
\(718\) | −11.3906 | − | 3.20392i | −0.425092 | − | 0.119569i | ||||
\(719\) | 12.9169 | + | 22.3727i | 0.481718 | + | 0.834360i | 0.999780 | − | 0.0209830i | \(-0.00667958\pi\) |
−0.518062 | + | 0.855343i | \(0.673346\pi\) | |||||||
\(720\) | −24.1406 | − | 2.54996i | −0.899668 | − | 0.0950314i | ||||
\(721\) | 59.7301 | + | 16.0046i | 2.22447 | + | 0.596044i | ||||
\(722\) | 0.220633 | − | 17.8001i | 0.00821112 | − | 0.662450i | ||||
\(723\) | −8.38413 | − | 8.38413i | −0.311809 | − | 0.311809i | ||||
\(724\) | 11.0723 | + | 6.76394i | 0.411498 | + | 0.251380i | ||||
\(725\) | 4.43487 | + | 10.1406i | 0.164707 | + | 0.376611i | ||||
\(726\) | 4.46948 | − | 2.50711i | 0.165878 | − | 0.0930477i | ||||
\(727\) | 35.1134i | 1.30228i | 0.758956 | + | 0.651142i | \(0.225710\pi\) | ||||
−0.758956 | + | 0.651142i | \(0.774290\pi\) | |||||||
\(728\) | 40.2367 | + | 5.42148i | 1.49127 | + | 0.200933i | ||||
\(729\) | −12.7604 | −0.472606 | ||||||||
\(730\) | 2.04493 | + | 10.4224i | 0.0756862 | + | 0.385751i | ||||
\(731\) | −22.0328 | − | 12.7206i | −0.814912 | − | 0.470490i | ||||
\(732\) | −1.44400 | + | 2.36376i | −0.0533717 | + | 0.0873673i | ||||
\(733\) | 12.1511 | + | 12.1511i | 0.448811 | + | 0.448811i | 0.894959 | − | 0.446148i | \(-0.147205\pi\) |
−0.446148 | + | 0.894959i | \(0.647205\pi\) | |||||||
\(734\) | −32.2509 | − | 0.399752i | −1.19040 | − | 0.0147551i | ||||
\(735\) | −8.85621 | − | 5.79295i | −0.326666 | − | 0.213676i | ||||
\(736\) | −31.9567 | + | 15.8977i | −1.17794 | + | 0.585997i | ||||
\(737\) | −7.86449 | + | 4.54057i | −0.289692 | + | 0.167254i | ||||
\(738\) | −8.66478 | − | 2.43722i | −0.318955 | − | 0.0897152i | ||||
\(739\) | −1.17602 | − | 4.38895i | −0.0432605 | − | 0.161450i | 0.940916 | − | 0.338639i | \(-0.109966\pi\) |
−0.984177 | + | 0.177189i | \(0.943300\pi\) | |||||||
\(740\) | 1.44037 | + | 7.85526i | 0.0529490 | + | 0.288765i | ||||
\(741\) | −2.83837 | + | 3.97288i | −0.104270 | + | 0.145947i | ||||
\(742\) | 9.86664 | + | 38.7371i | 0.362216 | + | 1.42208i | ||||
\(743\) | 2.97262 | + | 11.0940i | 0.109055 | + | 0.406998i | 0.998774 | − | 0.0495112i | \(-0.0157664\pi\) |
−0.889719 | + | 0.456509i | \(0.849100\pi\) | |||||||
\(744\) | 3.03613 | − | 0.693670i | 0.111310 | − | 0.0254312i | ||||
\(745\) | −4.22861 | − | 20.2221i | −0.154924 | − | 0.740880i | ||||
\(746\) | −4.96769 | − | 2.95079i | −0.181880 | − | 0.108036i | ||||
\(747\) | 33.4463 | + | 8.96192i | 1.22374 | + | 0.327900i | ||||
\(748\) | −6.37884 | − | 26.4079i | −0.233234 | − | 0.965568i | ||||
\(749\) | 37.3303 | + | 37.3303i | 1.36402 | + | 1.36402i | ||||
\(750\) | 8.31983 | + | 1.50862i | 0.303797 | + | 0.0550869i | ||||
\(751\) | −7.08084 | + | 12.2644i | −0.258384 | + | 0.447534i | −0.965809 | − | 0.259254i | \(-0.916523\pi\) |
0.707425 | + | 0.706788i | \(0.249857\pi\) | |||||||
\(752\) | −3.19348 | + | 9.92237i | −0.116454 | + | 0.361831i | ||||
\(753\) | 5.38923 | 0.196394 | ||||||||
\(754\) | 1.71635 | + | 11.1558i | 0.0625059 | + | 0.406272i | ||||
\(755\) | −15.3268 | − | 5.03599i | −0.557800 | − | 0.183278i | ||||
\(756\) | 16.7726 | + | 17.6255i | 0.610015 | + | 0.641034i | ||||
\(757\) | −31.6166 | − | 18.2538i | −1.14912 | − | 0.663447i | −0.200450 | − | 0.979704i | \(-0.564240\pi\) |
−0.948673 | + | 0.316257i | \(0.897574\pi\) | |||||||
\(758\) | 8.77559 | + | 8.99587i | 0.318744 | + | 0.326745i | ||||
\(759\) | −4.90362 | − | 4.90362i | −0.177990 | − | 0.177990i | ||||
\(760\) | 15.7876 | − | 2.69305i | 0.572675 | − | 0.0976873i | ||||
\(761\) | 10.6373 | − | 39.6988i | 0.385600 | − | 1.43908i | −0.451618 | − | 0.892211i | \(-0.649153\pi\) |
0.837218 | − | 0.546869i | \(-0.184180\pi\) | |||||||
\(762\) | −10.6512 | − | 6.32677i | −0.385852 | − | 0.229195i | ||||
\(763\) | 16.9976 | + | 29.4406i | 0.615353 | + | 1.06582i | ||||
\(764\) | 0.0711333 | − | 2.86898i | 0.00257351 | − | 0.103796i | ||||
\(765\) | 40.0483 | + | 2.23145i | 1.44795 | + | 0.0806784i | ||||
\(766\) | −5.69813 | − | 22.3712i | −0.205882 | − | 0.808305i | ||||
\(767\) | −4.08108 | + | 42.0502i | −0.147359 | + | 1.51834i | ||||
\(768\) | −3.52363 | − | 7.79714i | −0.127148 | − | 0.281355i | ||||
\(769\) | 8.28761 | + | 30.9298i | 0.298859 | + | 1.11536i | 0.938104 | + | 0.346353i | \(0.112580\pi\) |
−0.639245 | + | 0.769003i | \(0.720753\pi\) | |||||||
\(770\) | 14.4311 | − | 21.4763i | 0.520060 | − | 0.773951i | ||||
\(771\) | 0.653324 | + | 1.13159i | 0.0235289 | + | 0.0407533i | ||||
\(772\) | 36.9803 | + | 10.8981i | 1.33095 | + | 0.392232i | ||||
\(773\) | −2.54027 | + | 9.48040i | −0.0913670 | + | 0.340986i | −0.996444 | − | 0.0842622i | \(-0.973147\pi\) |
0.905077 | + | 0.425249i | \(0.139813\pi\) | |||||||
\(774\) | −0.183114 | + | 14.7732i | −0.00658191 | + | 0.531010i | ||||
\(775\) | 10.1786 | − | 1.54331i | 0.365628 | − | 0.0554374i | ||||
\(776\) | −5.04910 | + | 16.3814i | −0.181252 | + | 0.588057i | ||||
\(777\) | 1.90098 | − | 3.29260i | 0.0681974 | − | 0.118121i | ||||
\(778\) | 33.2871 | − | 18.6721i | 1.19340 | − | 0.669428i | ||||
\(779\) | 5.93851 | 0.212769 | ||||||||
\(780\) | 7.80530 | + | 3.66505i | 0.279475 | + | 0.131230i | ||||
\(781\) | 28.1026 | 1.00559 | ||||||||
\(782\) | 51.4367 | − | 28.8530i | 1.83937 | − | 1.03178i | ||||
\(783\) | −3.38203 | + | 5.85784i | −0.120864 | + | 0.209342i | ||||
\(784\) | −1.75431 | + | 35.3560i | −0.0626539 | + | 1.26271i | ||||
\(785\) | 5.35395 | − | 2.70575i | 0.191091 | − | 0.0965723i | ||||
\(786\) | −0.0860362 | + | 6.94116i | −0.00306881 | + | 0.247583i | ||||
\(787\) | 7.60038 | − | 28.3650i | 0.270924 | − | 1.01110i | −0.687599 | − | 0.726090i | \(-0.741335\pi\) |
0.958524 | − | 0.285013i | \(-0.0919980\pi\) | |||||||
\(788\) | 9.03010 | − | 30.6415i | 0.321684 | − | 1.09156i | ||||
\(789\) | −4.78155 | − | 8.28189i | −0.170228 | − | 0.294843i | ||||
\(790\) | −39.7314 | − | 26.6977i | −1.41358 | − | 0.949861i | ||||
\(791\) | 13.9019 | + | 51.8824i | 0.494293 | + | 1.84473i | ||||
\(792\) | −11.5628 | + | 10.7334i | −0.410866 | + | 0.381394i | ||||
\(793\) | −7.20971 | + | 5.93407i | −0.256024 | + | 0.210725i | ||||
\(794\) | 5.83084 | + | 22.8923i | 0.206929 | + | 0.812416i | ||||
\(795\) | −0.472316 | + | 8.47676i | −0.0167513 | + | 0.300640i | ||||
\(796\) | −0.263240 | − | 0.00652677i | −0.00933030 | − | 0.000231335i | ||||
\(797\) | −7.43621 | − | 12.8799i | −0.263404 | − | 0.456230i | 0.703740 | − | 0.710458i | \(-0.251512\pi\) |
−0.967144 | + | 0.254228i | \(0.918179\pi\) | |||||||
\(798\) | −6.55524 | − | 3.89379i | −0.232053 | − | 0.137839i | ||||
\(799\) | 4.45774 | − | 16.6365i | 0.157703 | − | 0.588557i | ||||
\(800\) | −9.70668 | − | 26.5665i | −0.343183 | − | 0.939269i | ||||
\(801\) | −0.452676 | − | 0.452676i | −0.0159945 | − | 0.0159945i | ||||
\(802\) | −11.0778 | − | 11.3558i | −0.391170 | − | 0.400989i | ||||
\(803\) | 5.97805 | + | 3.45143i | 0.210961 | + | 0.121798i | ||||
\(804\) | 3.42349 | − | 3.25784i | 0.120737 | − | 0.114895i | ||||
\(805\) | 53.3630 | + | 17.5337i | 1.88080 | + | 0.617981i | ||||
\(806\) | 10.4364 | + | 1.14362i | 0.367606 | + | 0.0402821i | ||||
\(807\) | 8.55602 | 0.301186 | ||||||||
\(808\) | 34.2786 | + | 21.5283i | 1.20592 | + | 0.757363i | ||||
\(809\) | 13.7828 | − | 23.8726i | 0.484578 | − | 0.839314i | −0.515265 | − | 0.857031i | \(-0.672306\pi\) |
0.999843 | + | 0.0177169i | \(0.00563975\pi\) | |||||||
\(810\) | −9.05414 | − | 18.4812i | −0.318130 | − | 0.649365i | ||||
\(811\) | −11.4849 | − | 11.4849i | −0.403289 | − | 0.403289i | 0.476102 | − | 0.879390i | \(-0.342049\pi\) |
−0.879390 | + | 0.476102i | \(0.842049\pi\) | |||||||
\(812\) | −17.1327 | + | 4.13840i | −0.601238 | + | 0.145229i | ||||
\(813\) | 15.0528 | + | 4.03338i | 0.527924 | + | 0.141457i | ||||
\(814\) | 4.46249 | + | 2.65070i | 0.156410 | + | 0.0929071i | ||||
\(815\) | 30.7894 | − | 6.43832i | 1.07851 | − | 0.225524i | ||||
\(816\) | 6.45356 | + | 12.5792i | 0.225920 | + | 0.440359i | ||||
\(817\) | −2.52283 | − | 9.41534i | −0.0882627 | − | 0.329401i | ||||
\(818\) | −3.73485 | − | 14.6633i | −0.130586 | − | 0.512689i | ||||
\(819\) | 16.1288 | + | 35.4625i | 0.563586 | + | 1.23916i | ||||
\(820\) | −1.89152 | − | 10.3157i | −0.0660548 | − | 0.360240i | ||||
\(821\) | −4.38721 | − | 16.3733i | −0.153115 | − | 0.571431i | −0.999259 | − | 0.0384783i | \(-0.987749\pi\) |
0.846145 | − | 0.532953i | \(-0.178918\pi\) | |||||||
\(822\) | 10.2543 | + | 2.88432i | 0.357660 | + | 0.100602i | ||||
\(823\) | 1.95675 | − | 1.12973i | 0.0682081 | − | 0.0393800i | −0.465508 | − | 0.885044i | \(-0.654128\pi\) |
0.533716 | + | 0.845664i | \(0.320795\pi\) | |||||||
\(824\) | 1.63316 | − | 43.9017i | 0.0568940 | − | 1.52939i | ||||
\(825\) | 4.29345 | − | 3.43008i | 0.149479 | − | 0.119420i | ||||
\(826\) | −65.9669 | − | 0.817666i | −2.29528 | − | 0.0284502i | ||||
\(827\) | −19.2049 | − | 19.2049i | −0.667821 | − | 0.667821i | 0.289390 | − | 0.957211i | \(-0.406547\pi\) |
−0.957211 | + | 0.289390i | \(0.906547\pi\) | |||||||
\(828\) | −29.2269 | − | 17.8544i | −1.01570 | − | 0.620483i | ||||
\(829\) | −13.3010 | − | 7.67934i | −0.461963 | − | 0.266715i | 0.250906 | − | 0.968011i | \(-0.419271\pi\) |
−0.712869 | + | 0.701297i | \(0.752605\pi\) | |||||||
\(830\) | 7.76781 | + | 39.5904i | 0.269625 | + | 1.37420i | ||||
\(831\) | 7.41733 | 0.257304 | ||||||||
\(832\) | −2.61212 | − | 28.7259i | −0.0905588 | − | 0.995891i | ||||
\(833\) | − | 58.4920i | − | 2.02663i | ||||||
\(834\) | −1.76834 | + | 0.991936i | −0.0612327 | + | 0.0343479i | ||||
\(835\) | −17.4541 | − | 19.5139i | −0.604023 | − | 0.675306i | ||||
\(836\) | 5.42624 | − | 8.88253i | 0.187670 | − | 0.307209i | ||||
\(837\) | 4.44889 | + | 4.44889i | 0.153776 | + | 0.153776i | ||||
\(838\) | 0.648270 | − | 52.3006i | 0.0223941 | − | 1.80669i | ||||
\(839\) | −7.79941 | − | 2.08985i | −0.269265 | − | 0.0721495i | 0.121660 | − | 0.992572i | \(-0.461178\pi\) |
−0.390925 | + | 0.920422i | \(0.627845\pi\) | |||||||
\(840\) | −4.67587 | + | 12.6272i | −0.161333 | + | 0.435681i | ||||
\(841\) | 12.0500 | + | 20.8713i | 0.415518 | + | 0.719698i | ||||
\(842\) | 43.0585 | + | 12.1114i | 1.48389 | + | 0.417387i | ||||
\(843\) | 14.8264 | − | 3.97272i | 0.510647 | − | 0.136828i | ||||
\(844\) | −36.7974 | + | 20.0457i | −1.26662 | + | 0.690001i | ||||
\(845\) | 20.8129 | + | 20.2934i | 0.715987 | + | 0.698114i | ||||
\(846\) | −9.69251 | + | 2.46876i | −0.333235 | + | 0.0848778i | ||||
\(847\) | 6.98212 | + | 26.0576i | 0.239909 | + | 0.895351i | ||||
\(848\) | 25.2680 | − | 12.9634i | 0.867708 | − | 0.445164i | ||||
\(849\) | 5.10217 | − | 2.94574i | 0.175106 | − | 0.101097i | ||||
\(850\) | 18.1945 | + | 43.0482i | 0.624065 | + | 1.47654i | ||||
\(851\) | −2.91626 | + | 10.8836i | −0.0999683 | + | 0.373087i | ||||
\(852\) | −14.2159 | + | 3.43385i | −0.487028 | + | 0.117642i | ||||
\(853\) | −37.6515 | + | 37.6515i | −1.28916 | + | 1.28916i | −0.353865 | + | 0.935296i | \(0.615133\pi\) |
−0.935296 | + | 0.353865i | \(0.884867\pi\) | |||||||
\(854\) | −10.1820 | − | 10.4376i | −0.348420 | − | 0.357166i | ||||
\(855\) | 10.2453 | + | 11.4544i | 0.350381 | + | 0.391731i | ||||
\(856\) | 19.9479 | − | 31.7621i | 0.681805 | − | 1.08561i | ||||
\(857\) | 25.0654 | 0.856218 | 0.428109 | − | 0.903727i | \(-0.359180\pi\) | ||||
0.428109 | + | 0.903727i | \(0.359180\pi\) | |||||||
\(858\) | 5.12973 | − | 2.25676i | 0.175126 | − | 0.0770446i | ||||
\(859\) | − | 21.0538i | − | 0.718345i | −0.933271 | − | 0.359173i | \(-0.883059\pi\) | ||
0.933271 | − | 0.359173i | \(-0.116941\pi\) | |||||||
\(860\) | −15.5517 | + | 7.38133i | −0.530307 | + | 0.251701i | ||||
\(861\) | −2.49641 | + | 4.32391i | −0.0850775 | + | 0.147359i | ||||
\(862\) | 24.1518 | + | 24.7581i | 0.822615 | + | 0.843264i | ||||
\(863\) | 9.00202 | − | 9.00202i | 0.306432 | − | 0.306432i | −0.537092 | − | 0.843524i | \(-0.680477\pi\) |
0.843524 | + | 0.537092i | \(0.180477\pi\) | |||||||
\(864\) | 9.55336 | − | 14.4058i | 0.325012 | − | 0.490096i | ||||
\(865\) | −6.23571 | + | 9.53310i | −0.212020 | + | 0.324135i | ||||
\(866\) | 28.3547 | − | 47.7355i | 0.963533 | − | 1.62212i | ||||
\(867\) | −7.13487 | − | 12.3580i | −0.242313 | − | 0.419698i | ||||
\(868\) | −0.406360 | + | 16.3895i | −0.0137928 | + | 0.556295i | ||||
\(869\) | −30.0502 | + | 8.05193i | −1.01938 | + | 0.273143i | ||||
\(870\) | −3.73473 | − | 0.254563i | −0.126619 | − | 0.00863050i | ||||
\(871\) | 14.5019 | − | 6.59567i | 0.491380 | − | 0.223486i | ||||
\(872\) | 17.7009 | − | 16.4312i | 0.599429 | − | 0.556431i | ||||
\(873\) | −15.8880 | + | 4.25718i | −0.537727 | + | 0.144084i | ||||
\(874\) | 21.7519 | + | 6.11835i | 0.735771 | + | 0.206956i | ||||
\(875\) | −18.5061 | + | 40.4816i | −0.625621 | + | 1.36853i | ||||
\(876\) | −3.44577 | − | 1.01547i | −0.116422 | − | 0.0343096i | ||||
\(877\) | −7.80946 | + | 29.1453i | −0.263707 | + | 0.984166i | 0.699331 | + | 0.714798i | \(0.253481\pi\) |
−0.963037 | + | 0.269368i | \(0.913185\pi\) | |||||||
\(878\) | −41.0975 | − | 0.509407i | −1.38697 | − | 0.0171917i | ||||
\(879\) | −5.39011 | + | 5.39011i | −0.181804 | + | 0.181804i | ||||
\(880\) | −17.1581 | − | 6.59659i | −0.578398 | − | 0.222371i | ||||
\(881\) | −37.9388 | − | 21.9040i | −1.27819 | − | 0.737964i | −0.301675 | − | 0.953411i | \(-0.597546\pi\) |
−0.976516 | + | 0.215447i | \(0.930879\pi\) | |||||||
\(882\) | −29.6250 | + | 16.6179i | −0.997526 | + | 0.559553i | ||||
\(883\) | 26.8681i | 0.904184i | 0.891971 | + | 0.452092i | \(0.149322\pi\) | ||||
−0.891971 | + | 0.452092i | \(0.850678\pi\) | |||||||
\(884\) | 6.66305 | + | 47.1928i | 0.224103 | + | 1.58726i | ||||
\(885\) | −13.3114 | − | 4.37378i | −0.447458 | − | 0.147023i | ||||
\(886\) | −18.8386 | − | 33.5839i | −0.632894 | − | 1.12827i | ||||
\(887\) | 9.37571 | − | 16.2392i | 0.314806 | − | 0.545259i | −0.664591 | − | 0.747208i | \(-0.731394\pi\) |
0.979396 | + | 0.201948i | \(0.0647273\pi\) | |||||||
\(888\) | −2.58127 | − | 0.795604i | −0.0866218 | − | 0.0266987i | ||||
\(889\) | 46.1141 | − | 46.1141i | 1.54662 | − | 1.54662i | ||||
\(890\) | 0.241606 | − | 0.705702i | 0.00809867 | − | 0.0236552i | ||||
\(891\) | −12.9195 | − | 3.46177i | −0.432820 | − | 0.115974i | ||||
\(892\) | −15.7588 | − | 4.64413i | −0.527644 | − | 0.155497i | ||||
\(893\) | 5.71481 | − | 3.29945i | 0.191239 | − | 0.110412i | ||||
\(894\) | 6.72643 | + | 1.89200i | 0.224965 | + | 0.0632779i | ||||
\(895\) | −17.0934 | − | 0.952428i | −0.571370 | − | 0.0318362i | ||||
\(896\) | 44.3538 | − | 7.84388i | 1.48176 | − | 0.262046i | ||||
\(897\) | 7.73138 | + | 9.39338i | 0.258143 | + | 0.313636i | ||||
\(898\) | −0.517506 | + | 0.131813i | −0.0172694 | + | 0.00439866i | ||||
\(899\) | −4.40246 | + | 1.17964i | −0.146830 | + | 0.0393430i | ||||
\(900\) | 16.6339 | − | 21.4453i | 0.554463 | − | 0.714845i | ||||
\(901\) | −40.6386 | + | 23.4627i | −1.35387 | + | 0.781657i | ||||
\(902\) | −5.86024 | − | 3.48096i | −0.195125 | − | 0.115903i | ||||
\(903\) | 7.91598 | + | 2.12108i | 0.263427 | + | 0.0705852i | ||||
\(904\) | 33.7340 | − | 17.8383i | 1.12198 | − | 0.593293i | ||||
\(905\) | −12.9469 | + | 6.54301i | −0.430369 | + | 0.217497i | ||||
\(906\) | 3.90585 | − | 3.81021i | 0.129763 | − | 0.126586i | ||||
\(907\) | −41.6430 | − | 24.0426i | −1.38273 | − | 0.798321i | −0.390250 | − | 0.920709i | \(-0.627612\pi\) |
−0.992482 | + | 0.122388i | \(0.960945\pi\) | |||||||
\(908\) | 3.42246 | − | 3.25685i | 0.113578 | − | 0.108082i | ||||
\(909\) | 38.8409i | 1.28827i | ||||||||
\(910\) | −28.8381 | + | 35.0549i | −0.955975 | + | 1.16206i | ||||
\(911\) | − | 22.4591i | − | 0.744104i | −0.928212 | − | 0.372052i | \(-0.878654\pi\) | ||
0.928212 | − | 0.372052i | \(-0.121346\pi\) | |||||||
\(912\) | −1.65954 | + | 5.15632i | −0.0549530 | + | 0.170743i | ||||
\(913\) | 22.7081 | + | 13.1105i | 0.751528 | + | 0.433895i | ||||
\(914\) | −25.9414 | − | 26.5926i | −0.858067 | − | 0.879605i | ||||
\(915\) | −1.39683 | − | 2.76396i | −0.0461779 | − | 0.0913738i | ||||
\(916\) | 4.88667 | − | 1.18038i | 0.161460 | − | 0.0390008i | ||||
\(917\) | −35.2970 | − | 9.45780i | −1.16561 | − | 0.312324i | ||||
\(918\) | −14.5864 | + | 24.5564i | −0.481422 | + | 0.810481i | ||||
\(919\) | 19.5568 | − | 11.2911i | 0.645118 | − | 0.372459i | −0.141465 | − | 0.989943i | \(-0.545181\pi\) |
0.786583 | + | 0.617484i | \(0.211848\pi\) | |||||||
\(920\) | 3.69971 | − | 39.7338i | 0.121976 | − | 1.30998i | ||||
\(921\) | −7.92183 | + | 2.12265i | −0.261033 | + | 0.0699436i | ||||
\(922\) | 5.33816 | + | 20.9579i | 0.175803 | + | 0.690213i | ||||
\(923\) | −49.0709 | − | 4.76246i | −1.61519 | − | 0.156758i | ||||
\(924\) | 4.18643 | + | 7.68493i | 0.137723 | + | 0.252816i | ||||
\(925\) | −8.31450 | − | 3.25479i | −0.273379 | − | 0.107017i | ||||
\(926\) | −0.583068 | + | 2.07292i | −0.0191608 | + | 0.0681205i | ||||
\(927\) | 36.5073 | − | 21.0775i | 1.19906 | − | 0.692276i | ||||
\(928\) | 5.57733 | + | 11.2112i | 0.183085 | + | 0.368027i | ||||
\(929\) | −30.6393 | − | 8.20978i | −1.00524 | − | 0.269354i | −0.281603 | − | 0.959531i | \(-0.590866\pi\) |
−0.723641 | + | 0.690177i | \(0.757533\pi\) | |||||||
\(930\) | −1.12783 | + | 3.29425i | −0.0369830 | + | 0.108023i | ||||
\(931\) | 15.8466 | − | 15.8466i | 0.519350 | − | 0.519350i | ||||
\(932\) | −1.04186 | + | 1.70548i | −0.0341272 | + | 0.0558648i | ||||
\(933\) | −0.916229 | + | 1.58695i | −0.0299960 | + | 0.0519546i | ||||
\(934\) | −5.41152 | + | 3.03554i | −0.177070 | + | 0.0993260i | ||||
\(935\) | 28.8563 | + | 9.48142i | 0.943702 | + | 0.310076i | ||||
\(936\) | 22.0092 | − | 16.7824i | 0.719392 | − | 0.548550i | ||||
\(937\) | − | 29.2428i | − | 0.955322i | −0.878544 | − | 0.477661i | \(-0.841485\pi\) | ||
0.878544 | − | 0.477661i | \(-0.158515\pi\) | |||||||
\(938\) | 12.1709 | + | 21.6972i | 0.397393 | + | 0.708439i | ||||
\(939\) | −6.27374 | − | 3.62215i | −0.204736 | − | 0.118204i | ||||
\(940\) | −7.55169 | − | 8.87618i | −0.246309 | − | 0.289509i | ||||
\(941\) | 10.8205 | − | 10.8205i | 0.352738 | − | 0.352738i | −0.508390 | − | 0.861127i | \(-0.669759\pi\) |
0.861127 | + | 0.508390i | \(0.169759\pi\) | |||||||
\(942\) | −0.0251467 | + | 2.02877i | −0.000819325 | + | 0.0661008i | ||||
\(943\) | 3.82970 | − | 14.2926i | 0.124712 | − | 0.465432i | ||||
\(944\) | 9.87226 | + | 45.8182i | 0.321315 | + | 1.49125i | ||||
\(945\) | −26.6266 | + | 5.56784i | −0.866163 | + | 0.181122i | ||||
\(946\) | −3.02938 | + | 10.7700i | −0.0984937 | + | 0.350164i | ||||
\(947\) | 17.5633 | − | 4.70606i | 0.570729 | − | 0.152926i | 0.0380982 | − | 0.999274i | \(-0.487870\pi\) |
0.532631 | + | 0.846348i | \(0.321203\pi\) | |||||||
\(948\) | 14.2172 | − | 7.74495i | 0.461754 | − | 0.251544i | ||||
\(949\) | −9.85359 | − | 7.03975i | −0.319861 | − | 0.228520i | ||||
\(950\) | −6.73333 | + | 16.5918i | −0.218458 | + | 0.538308i | ||||
\(951\) | 13.6640 | − | 3.66125i | 0.443085 | − | 0.118724i | ||||
\(952\) | −72.5552 | + | 16.5768i | −2.35153 | + | 0.537257i | ||||
\(953\) | −11.2070 | − | 19.4111i | −0.363031 | − | 0.628788i | 0.625427 | − | 0.780283i | \(-0.284925\pi\) |
−0.988458 | + | 0.151495i | \(0.951591\pi\) | |||||||
\(954\) | 23.4290 | + | 13.9168i | 0.758543 | + | 0.450572i | ||||
\(955\) | 2.68517 | + | 1.75640i | 0.0868902 | + | 0.0568359i | ||||
\(956\) | −46.7194 | + | 11.2851i | −1.51101 | + | 0.364986i | ||||
\(957\) | −1.72032 | + | 1.72032i | −0.0556099 | + | 0.0556099i | ||||
\(958\) | −16.1348 | + | 15.7397i | −0.521291 | + | 0.508527i | ||||
\(959\) | −28.0375 | + | 48.5624i | −0.905378 | + | 1.56816i | ||||
\(960\) | 9.48555 | + | 1.24039i | 0.306145 | + | 0.0400333i | ||||
\(961\) | − | 26.7605i | − | 0.863243i | ||||||
\(962\) | −7.34291 | − | 5.38473i | −0.236745 | − | 0.173611i | ||||
\(963\) | 35.9896 | 1.15975 | ||||||||
\(964\) | −30.5690 | − | 32.1234i | −0.984562 | − | 1.03463i | ||||
\(965\) | −32.1270 | + | 28.7358i | −1.03420 | + | 0.925038i | ||||
\(966\) | −13.5989 | + | 13.2659i | −0.437537 | + | 0.426823i | ||||
\(967\) | −30.7076 | + | 30.7076i | −0.987490 | + | 0.987490i | −0.999923 | − | 0.0124323i | \(-0.996043\pi\) |
0.0124323 | + | 0.999923i | \(0.496043\pi\) | |||||||
\(968\) | 16.9427 | − | 8.95917i | 0.544559 | − | 0.287959i | ||||
\(969\) | 2.31653 | − | 8.64542i | 0.0744178 | − | 0.277731i | ||||
\(970\) | −12.5989 | − | 14.4420i | −0.404526 | − | 0.463705i | ||||
\(971\) | −23.0776 | + | 13.3239i | −0.740595 | + | 0.427583i | −0.822286 | − | 0.569075i | \(-0.807301\pi\) |
0.0816904 | + | 0.996658i | \(0.473968\pi\) | |||||||
\(972\) | 25.2870 | + | 0.626965i | 0.811080 | + | 0.0201099i | ||||
\(973\) | −2.76247 | − | 10.3097i | −0.0885606 | − | 0.330513i | ||||
\(974\) | 3.35662 | + | 13.1783i | 0.107553 | + | 0.422260i | ||||
\(975\) | −8.07823 | + | 5.26178i | −0.258710 | + | 0.168512i | ||||
\(976\) | −5.61787 | + | 8.70368i | −0.179824 | + | 0.278598i | ||||
\(977\) | −35.1455 | + | 9.41721i | −1.12440 | + | 0.301283i | −0.772665 | − | 0.634815i | \(-0.781076\pi\) |
−0.351740 | + | 0.936098i | \(0.614410\pi\) | |||||||
\(978\) | −2.88069 | + | 10.2414i | −0.0921142 | + | 0.327484i | ||||
\(979\) | −0.242391 | − | 0.419834i | −0.00774686 | − | 0.0134180i | ||||
\(980\) | −32.5742 | − | 22.4794i | −1.04055 | − | 0.718078i | ||||
\(981\) | 22.3852 | + | 5.99809i | 0.714703 | + | 0.191504i | ||||
\(982\) | −28.5447 | − | 0.353814i | −0.910899 | − | 0.0112907i | ||||
\(983\) | 0.00328104 | + | 0.00328104i | 0.000104649 | + | 0.000104649i | 0.707159 | − | 0.707054i | \(-0.249976\pi\) |
−0.707054 | + | 0.707159i | \(0.749976\pi\) | |||||||
\(984\) | 3.38978 | + | 1.04480i | 0.108062 | + | 0.0333072i | ||||
\(985\) | 23.8102 | + | 26.6201i | 0.758657 | + | 0.848188i | ||||
\(986\) | −10.1224 | − | 18.0453i | −0.322362 | − | 0.574681i | ||||
\(987\) | 5.54805i | 0.176596i | ||||||||
\(988\) | −10.9802 | + | 14.5905i | −0.349328 | + | 0.464186i | ||||
\(989\) | −24.2875 | −0.772298 | ||||||||
\(990\) | −3.39608 | − | 17.3088i | −0.107934 | − | 0.550111i | ||||
\(991\) | 33.9682 | + | 19.6115i | 1.07903 | + | 0.622981i | 0.930636 | − | 0.365947i | \(-0.119255\pi\) |
0.148398 | + | 0.988928i | \(0.452588\pi\) | |||||||
\(992\) | 11.4157 | − | 2.31202i | 0.362448 | − | 0.0734066i | ||||
\(993\) | −6.20446 | − | 6.20446i | −0.196892 | − | 0.196892i | ||||
\(994\) | 0.954184 | − | 76.9809i | 0.0302649 | − | 2.44168i | ||||
\(995\) | 0.161157 | − | 0.246375i | 0.00510902 | − | 0.00781063i | ||||
\(996\) | −13.0890 | − | 3.85735i | −0.414741 | − | 0.122225i | ||||
\(997\) | 40.4842 | − | 23.3736i | 1.28215 | − | 0.740249i | 0.304908 | − | 0.952382i | \(-0.401374\pi\) |
0.977241 | + | 0.212133i | \(0.0680411\pi\) | |||||||
\(998\) | −1.28763 | + | 4.57779i | −0.0407594 | + | 0.144908i | ||||
\(999\) | −1.41232 | − | 5.27086i | −0.0446839 | − | 0.166762i |
(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 | 260.2.bc.c.19.13 | ✓ | 144 | |
4.3 | odd | 2 | inner | 260.2.bc.c.19.19 | yes | 144 | |
5.4 | even | 2 | inner | 260.2.bc.c.19.24 | yes | 144 | |
13.11 | odd | 12 | inner | 260.2.bc.c.219.18 | yes | 144 | |
20.19 | odd | 2 | inner | 260.2.bc.c.19.18 | yes | 144 | |
52.11 | even | 12 | inner | 260.2.bc.c.219.24 | yes | 144 | |
65.24 | odd | 12 | inner | 260.2.bc.c.219.19 | yes | 144 | |
260.219 | even | 12 | inner | 260.2.bc.c.219.13 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
260.2.bc.c.19.13 | ✓ | 144 | 1.1 | even | 1 | trivial | |
260.2.bc.c.19.18 | yes | 144 | 20.19 | odd | 2 | inner | |
260.2.bc.c.19.19 | yes | 144 | 4.3 | odd | 2 | inner | |
260.2.bc.c.19.24 | yes | 144 | 5.4 | even | 2 | inner | |
260.2.bc.c.219.13 | yes | 144 | 260.219 | even | 12 | inner | |
260.2.bc.c.219.18 | yes | 144 | 13.11 | odd | 12 | inner | |
260.2.bc.c.219.19 | yes | 144 | 65.24 | odd | 12 | inner | |
260.2.bc.c.219.24 | yes | 144 | 52.11 | even | 12 | inner |