Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,2,Mod(45,91)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(91, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([2, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.45");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.ba (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: | \(0.726638658394\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 59.6 | ||
Character | \(\chi\) | \(=\) | 91.59 |
Dual form | 91.2.ba.a.54.6 |
$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(e\left(\frac{11}{12}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.28453 | + | 1.28453i | 0.908303 | + | 0.908303i | 0.996135 | − | 0.0878320i | \(-0.0279939\pi\) |
−0.0878320 | + | 0.996135i | \(0.527994\pi\) | |||||||
\(3\) | −2.65867 | + | 1.53499i | −1.53499 | + | 0.886225i | −0.535865 | + | 0.844303i | \(0.680015\pi\) |
−0.999121 | + | 0.0419214i | \(0.986652\pi\) | |||||||
\(4\) | 1.30006i | 0.650030i | ||||||||
\(5\) | 1.07541 | + | 0.288156i | 0.480940 | + | 0.128867i | 0.491140 | − | 0.871081i | \(-0.336580\pi\) |
−0.0102004 | + | 0.999948i | \(0.503247\pi\) | |||||||
\(6\) | −5.38690 | − | 1.44342i | −2.19919 | − | 0.589272i | ||||
\(7\) | −0.978346 | + | 2.45822i | −0.369780 | + | 0.929119i | ||||
\(8\) | 0.899098 | − | 0.899098i | 0.317879 | − | 0.317879i | ||||
\(9\) | 3.21237 | − | 5.56398i | 1.07079 | − | 1.85466i | ||||
\(10\) | 1.01126 | + | 1.75155i | 0.319788 | + | 0.553890i | ||||
\(11\) | 0.124181 | + | 0.0332742i | 0.0374420 | + | 0.0100326i | 0.277491 | − | 0.960728i | \(-0.410497\pi\) |
−0.240049 | + | 0.970761i | \(0.577164\pi\) | |||||||
\(12\) | −1.99557 | − | 3.45643i | −0.576072 | − | 0.997787i | ||||
\(13\) | 3.59376 | − | 0.291296i | 0.996731 | − | 0.0807911i | ||||
\(14\) | −4.41439 | + | 1.90095i | −1.17979 | + | 0.508050i | ||||
\(15\) | −3.30149 | + | 0.884632i | −0.852441 | + | 0.228411i | ||||
\(16\) | 4.90996 | 1.22749 | ||||||||
\(17\) | −0.273570 | −0.0663504 | −0.0331752 | − | 0.999450i | \(-0.510562\pi\) | ||||
−0.0331752 | + | 0.999450i | \(0.510562\pi\) | |||||||
\(18\) | 11.2735 | − | 3.02073i | 2.65720 | − | 0.711993i | ||||
\(19\) | −1.02731 | − | 3.83397i | −0.235681 | − | 0.879574i | −0.977841 | − | 0.209351i | \(-0.932865\pi\) |
0.742159 | − | 0.670223i | \(-0.233802\pi\) | |||||||
\(20\) | −0.374620 | + | 1.39810i | −0.0837676 | + | 0.312625i | ||||
\(21\) | −1.17223 | − | 8.03735i | −0.255801 | − | 1.75389i | ||||
\(22\) | 0.116773 | + | 0.202257i | 0.0248961 | + | 0.0431213i | ||||
\(23\) | − | 0.491955i | − | 0.102580i | −0.998684 | − | 0.0512899i | \(-0.983667\pi\) | ||
0.998684 | − | 0.0512899i | \(-0.0163332\pi\) | |||||||
\(24\) | −1.01031 | + | 3.77051i | −0.206228 | + | 0.769652i | ||||
\(25\) | −3.25665 | − | 1.88023i | −0.651329 | − | 0.376045i | ||||
\(26\) | 4.99050 | + | 4.24214i | 0.978717 | + | 0.831951i | ||||
\(27\) | 10.5138i | 2.02339i | ||||||||
\(28\) | −3.19583 | − | 1.27191i | −0.603955 | − | 0.240368i | ||||
\(29\) | −4.62230 | + | 8.00606i | −0.858340 | + | 1.48669i | 0.0151718 | + | 0.999885i | \(0.495170\pi\) |
−0.873512 | + | 0.486803i | \(0.838163\pi\) | |||||||
\(30\) | −5.37722 | − | 3.10454i | −0.981742 | − | 0.566809i | ||||
\(31\) | −1.85433 | − | 6.92046i | −0.333048 | − | 1.24295i | −0.905970 | − | 0.423341i | \(-0.860857\pi\) |
0.572923 | − | 0.819609i | \(-0.305810\pi\) | |||||||
\(32\) | 4.50882 | + | 4.50882i | 0.797055 | + | 0.797055i | ||||
\(33\) | −0.381233 | + | 0.102151i | −0.0663641 | + | 0.0177822i | ||||
\(34\) | −0.351410 | − | 0.351410i | −0.0602663 | − | 0.0602663i | ||||
\(35\) | −1.76048 | + | 2.36169i | −0.297575 | + | 0.399198i | ||||
\(36\) | 7.23351 | + | 4.17627i | 1.20558 | + | 0.696045i | ||||
\(37\) | −2.82056 | + | 2.82056i | −0.463697 | + | 0.463697i | −0.899865 | − | 0.436168i | \(-0.856335\pi\) |
0.436168 | + | 0.899865i | \(0.356335\pi\) | |||||||
\(38\) | 3.60526 | − | 6.24449i | 0.584850 | − | 1.01299i | ||||
\(39\) | −9.10751 | + | 6.29084i | −1.45837 | + | 1.00734i | ||||
\(40\) | 1.22598 | − | 0.707822i | 0.193845 | − | 0.111916i | ||||
\(41\) | −2.31500 | − | 8.63969i | −0.361542 | − | 1.34929i | −0.872049 | − | 0.489419i | \(-0.837209\pi\) |
0.510507 | − | 0.859874i | \(-0.329458\pi\) | |||||||
\(42\) | 8.81849 | − | 11.8300i | 1.36072 | − | 1.82541i | ||||
\(43\) | 8.44566 | − | 4.87610i | 1.28795 | − | 0.743599i | 0.309662 | − | 0.950847i | \(-0.399784\pi\) |
0.978288 | + | 0.207248i | \(0.0664506\pi\) | |||||||
\(44\) | −0.0432585 | + | 0.161443i | −0.00652146 | + | 0.0243384i | ||||
\(45\) | 5.05792 | − | 5.05792i | 0.753990 | − | 0.753990i | ||||
\(46\) | 0.631934 | − | 0.631934i | 0.0931735 | − | 0.0931735i | ||||
\(47\) | −1.51665 | + | 5.66021i | −0.221226 | + | 0.825627i | 0.762655 | + | 0.646805i | \(0.223895\pi\) |
−0.983881 | + | 0.178822i | \(0.942771\pi\) | |||||||
\(48\) | −13.0540 | + | 7.53673i | −1.88418 | + | 1.08783i | ||||
\(49\) | −5.08568 | − | 4.80998i | −0.726525 | − | 0.687140i | ||||
\(50\) | −1.76806 | − | 6.59849i | −0.250041 | − | 0.933167i | ||||
\(51\) | 0.727333 | − | 0.419926i | 0.101847 | − | 0.0588014i | ||||
\(52\) | 0.378703 | + | 4.67211i | 0.0525166 | + | 0.647905i | ||||
\(53\) | 0.467445 | − | 0.809639i | 0.0642086 | − | 0.111212i | −0.832134 | − | 0.554574i | \(-0.812881\pi\) |
0.896343 | + | 0.443362i | \(0.146214\pi\) | |||||||
\(54\) | −13.5054 | + | 13.5054i | −1.83785 | + | 1.83785i | ||||
\(55\) | 0.123958 | + | 0.0715671i | 0.0167145 | + | 0.00965011i | ||||
\(56\) | 1.33055 | + | 3.08981i | 0.177802 | + | 0.412893i | ||||
\(57\) | 8.61638 | + | 8.61638i | 1.14127 | + | 1.14127i | ||||
\(58\) | −16.2216 | + | 4.34656i | −2.13000 | + | 0.570731i | ||||
\(59\) | 4.86699 | + | 4.86699i | 0.633628 | + | 0.633628i | 0.948976 | − | 0.315348i | \(-0.102121\pi\) |
−0.315348 | + | 0.948976i | \(0.602121\pi\) | |||||||
\(60\) | −1.15007 | − | 4.29214i | −0.148474 | − | 0.554112i | ||||
\(61\) | 6.74429 | + | 3.89382i | 0.863518 | + | 0.498552i | 0.865189 | − | 0.501446i | \(-0.167199\pi\) |
−0.00167083 | + | 0.999999i | \(0.500532\pi\) | |||||||
\(62\) | 6.50761 | − | 11.2715i | 0.826468 | − | 1.43148i | ||||
\(63\) | 10.5347 | + | 13.3402i | 1.32724 | + | 1.68071i | ||||
\(64\) | 1.76356i | 0.220444i | ||||||||
\(65\) | 3.94872 | + | 0.722302i | 0.489779 | + | 0.0895905i | ||||
\(66\) | −0.620923 | − | 0.358490i | −0.0764303 | − | 0.0441271i | ||||
\(67\) | −0.316671 | + | 1.18183i | −0.0386875 | + | 0.144384i | −0.982568 | − | 0.185903i | \(-0.940479\pi\) |
0.943881 | + | 0.330287i | \(0.107146\pi\) | |||||||
\(68\) | − | 0.355657i | − | 0.0431298i | ||||||
\(69\) | 0.755145 | + | 1.30795i | 0.0909087 | + | 0.157459i | ||||
\(70\) | −5.29506 | + | 0.772272i | −0.632881 | + | 0.0923041i | ||||
\(71\) | −0.793943 | + | 2.96304i | −0.0942237 | + | 0.351648i | −0.996901 | − | 0.0786713i | \(-0.974932\pi\) |
0.902677 | + | 0.430319i | \(0.141599\pi\) | |||||||
\(72\) | −2.11433 | − | 7.89080i | −0.249176 | − | 0.929939i | ||||
\(73\) | 0.118802 | − | 0.0318328i | 0.0139047 | − | 0.00372575i | −0.251860 | − | 0.967764i | \(-0.581042\pi\) |
0.265765 | + | 0.964038i | \(0.414376\pi\) | |||||||
\(74\) | −7.24621 | −0.842355 | ||||||||
\(75\) | 11.5445 | 1.33304 | ||||||||
\(76\) | 4.98439 | − | 1.33556i | 0.571749 | − | 0.153200i | ||||
\(77\) | −0.203287 | + | 0.272711i | −0.0231668 | + | 0.0310782i | ||||
\(78\) | −19.7797 | − | 3.61811i | −2.23961 | − | 0.409671i | ||||
\(79\) | −5.72736 | − | 9.92007i | −0.644378 | − | 1.11610i | −0.984445 | − | 0.175694i | \(-0.943783\pi\) |
0.340067 | − | 0.940401i | \(-0.389550\pi\) | |||||||
\(80\) | 5.28024 | + | 1.41484i | 0.590349 | + | 0.158184i | ||||
\(81\) | −6.50149 | − | 11.2609i | −0.722388 | − | 1.25121i | ||||
\(82\) | 8.12429 | − | 14.0717i | 0.897178 | − | 1.55396i | ||||
\(83\) | −8.07011 | + | 8.07011i | −0.885810 | + | 0.885810i | −0.994117 | − | 0.108308i | \(-0.965457\pi\) |
0.108308 | + | 0.994117i | \(0.465457\pi\) | |||||||
\(84\) | 10.4490 | − | 1.52397i | 1.14008 | − | 0.166278i | ||||
\(85\) | −0.294201 | − | 0.0788309i | −0.0319106 | − | 0.00855041i | ||||
\(86\) | 17.1123 | + | 4.58522i | 1.84526 | + | 0.494437i | ||||
\(87\) | − | 28.3807i | − | 3.04273i | ||||||
\(88\) | 0.141568 | − | 0.0817342i | 0.0150912 | − | 0.00871289i | ||||
\(89\) | 2.99430 | + | 2.99430i | 0.317395 | + | 0.317395i | 0.847766 | − | 0.530371i | \(-0.177947\pi\) |
−0.530371 | + | 0.847766i | \(0.677947\pi\) | |||||||
\(90\) | 12.9941 | 1.36970 | ||||||||
\(91\) | −2.79988 | + | 9.11925i | −0.293507 | + | 0.955957i | ||||
\(92\) | 0.639571 | 0.0666799 | ||||||||
\(93\) | 15.5529 | + | 15.5529i | 1.61276 | + | 1.61276i | ||||
\(94\) | −9.21893 | + | 5.32255i | −0.950860 | + | 0.548979i | ||||
\(95\) | − | 4.41913i | − | 0.453394i | ||||||
\(96\) | −18.9085 | − | 5.06651i | −1.92984 | − | 0.517099i | ||||
\(97\) | 2.39359 | + | 0.641359i | 0.243032 | + | 0.0651202i | 0.378279 | − | 0.925692i | \(-0.376516\pi\) |
−0.135247 | + | 0.990812i | \(0.543183\pi\) | |||||||
\(98\) | −0.354145 | − | 12.7113i | −0.0357740 | − | 1.28404i | ||||
\(99\) | 0.584052 | − | 0.584052i | 0.0586995 | − | 0.0586995i | ||||
\(100\) | 2.44440 | − | 4.23383i | 0.244440 | − | 0.423383i | ||||
\(101\) | 0.844219 | + | 1.46223i | 0.0840029 | + | 0.145497i | 0.904966 | − | 0.425484i | \(-0.139896\pi\) |
−0.820963 | + | 0.570981i | \(0.806563\pi\) | |||||||
\(102\) | 1.47369 | + | 0.394875i | 0.145917 | + | 0.0390985i | ||||
\(103\) | −4.38460 | − | 7.59435i | −0.432027 | − | 0.748293i | 0.565021 | − | 0.825077i | \(-0.308868\pi\) |
−0.997048 | + | 0.0767837i | \(0.975535\pi\) | |||||||
\(104\) | 2.96924 | − | 3.49305i | 0.291158 | − | 0.342522i | ||||
\(105\) | 1.05538 | − | 8.98126i | 0.102995 | − | 0.876482i | ||||
\(106\) | 1.64046 | − | 0.439560i | 0.159336 | − | 0.0426938i | ||||
\(107\) | −2.69786 | −0.260812 | −0.130406 | − | 0.991461i | \(-0.541628\pi\) | ||||
−0.130406 | + | 0.991461i | \(0.541628\pi\) | |||||||
\(108\) | −13.6686 | −1.31526 | ||||||||
\(109\) | −8.97655 | + | 2.40526i | −0.859798 | + | 0.230382i | −0.661671 | − | 0.749794i | \(-0.730152\pi\) |
−0.198127 | + | 0.980176i | \(0.563486\pi\) | |||||||
\(110\) | 0.0672978 | + | 0.251159i | 0.00641659 | + | 0.0239470i | ||||
\(111\) | 3.16943 | − | 11.8285i | 0.300829 | − | 1.12271i | ||||
\(112\) | −4.80365 | + | 12.0698i | −0.453902 | + | 1.14049i | ||||
\(113\) | −1.73470 | − | 3.00459i | −0.163187 | − | 0.282648i | 0.772823 | − | 0.634622i | \(-0.218844\pi\) |
−0.936010 | + | 0.351973i | \(0.885511\pi\) | |||||||
\(114\) | 22.1361i | 2.07323i | ||||||||
\(115\) | 0.141760 | − | 0.529055i | 0.0132192 | − | 0.0493347i | ||||
\(116\) | −10.4084 | − | 6.00927i | −0.966392 | − | 0.557946i | ||||
\(117\) | 9.92372 | − | 20.9314i | 0.917448 | − | 1.93511i | ||||
\(118\) | 12.5036i | 1.15105i | ||||||||
\(119\) | 0.267646 | − | 0.672494i | 0.0245351 | − | 0.0616475i | ||||
\(120\) | −2.17299 | + | 3.76373i | −0.198366 | + | 0.343580i | ||||
\(121\) | −9.51197 | − | 5.49174i | −0.864724 | − | 0.499249i | ||||
\(122\) | 3.66153 | + | 13.6650i | 0.331499 | + | 1.23717i | ||||
\(123\) | 19.4166 | + | 19.4166i | 1.75074 | + | 1.75074i | ||||
\(124\) | 8.99700 | − | 2.41074i | 0.807955 | − | 0.216491i | ||||
\(125\) | −6.89673 | − | 6.89673i | −0.616862 | − | 0.616862i | ||||
\(126\) | −3.60379 | + | 30.6681i | −0.321051 | + | 2.73213i | ||||
\(127\) | −1.51307 | − | 0.873573i | −0.134264 | − | 0.0775171i | 0.431364 | − | 0.902178i | \(-0.358033\pi\) |
−0.565627 | + | 0.824661i | \(0.691366\pi\) | |||||||
\(128\) | 6.75230 | − | 6.75230i | 0.596825 | − | 0.596825i | ||||
\(129\) | −14.9695 | + | 25.9279i | −1.31799 | + | 2.28283i | ||||
\(130\) | 4.14445 | + | 6.00009i | 0.363492 | + | 0.526243i | ||||
\(131\) | −5.14945 | + | 2.97304i | −0.449909 | + | 0.259755i | −0.707792 | − | 0.706421i | \(-0.750309\pi\) |
0.257882 | + | 0.966176i | \(0.416975\pi\) | |||||||
\(132\) | −0.132802 | − | 0.495625i | −0.0115590 | − | 0.0431386i | ||||
\(133\) | 10.4298 | + | 1.22560i | 0.904379 | + | 0.106273i | ||||
\(134\) | −1.92488 | + | 1.11133i | −0.166284 | + | 0.0960043i | ||||
\(135\) | −3.02963 | + | 11.3067i | −0.260749 | + | 0.973128i | ||||
\(136\) | −0.245966 | + | 0.245966i | −0.0210914 | + | 0.0210914i | ||||
\(137\) | −13.8892 | + | 13.8892i | −1.18663 | + | 1.18663i | −0.208639 | + | 0.977993i | \(0.566904\pi\) |
−0.977993 | + | 0.208639i | \(0.933096\pi\) | |||||||
\(138\) | −0.710096 | + | 2.65012i | −0.0604474 | + | 0.225593i | ||||
\(139\) | 4.80542 | − | 2.77441i | 0.407590 | − | 0.235322i | −0.282164 | − | 0.959366i | \(-0.591052\pi\) |
0.689754 | + | 0.724044i | \(0.257719\pi\) | |||||||
\(140\) | −3.07033 | − | 2.28873i | −0.259490 | − | 0.193433i | ||||
\(141\) | −4.65607 | − | 17.3767i | −0.392112 | − | 1.46338i | ||||
\(142\) | −4.82597 | + | 2.78627i | −0.404986 | + | 0.233819i | ||||
\(143\) | 0.455970 | + | 0.0834062i | 0.0381302 | + | 0.00697478i | ||||
\(144\) | 15.7726 | − | 27.3189i | 1.31438 | − | 2.27658i | ||||
\(145\) | −7.27788 | + | 7.27788i | −0.604395 | + | 0.604395i | ||||
\(146\) | 0.193495 | + | 0.111715i | 0.0160138 | + | 0.00924556i | ||||
\(147\) | 20.9044 | + | 4.98172i | 1.72417 | + | 0.410885i | ||||
\(148\) | −3.66689 | − | 3.66689i | −0.301417 | − | 0.301417i | ||||
\(149\) | 0.416259 | − | 0.111536i | 0.0341012 | − | 0.00913740i | −0.241728 | − | 0.970344i | \(-0.577714\pi\) |
0.275829 | + | 0.961207i | \(0.411048\pi\) | |||||||
\(150\) | 14.8293 | + | 14.8293i | 1.21081 | + | 1.21081i | ||||
\(151\) | 0.918204 | + | 3.42678i | 0.0747224 | + | 0.278868i | 0.993170 | − | 0.116674i | \(-0.0372234\pi\) |
−0.918448 | + | 0.395542i | \(0.870557\pi\) | |||||||
\(152\) | −4.37077 | − | 2.52347i | −0.354516 | − | 0.204680i | ||||
\(153\) | −0.878806 | + | 1.52214i | −0.0710473 | + | 0.123058i | ||||
\(154\) | −0.611436 | + | 0.0891764i | −0.0492709 | + | 0.00718604i | ||||
\(155\) | − | 7.97669i | − | 0.640703i | ||||||
\(156\) | −8.17847 | − | 11.8403i | −0.654802 | − | 0.947984i | ||||
\(157\) | 3.24916 | + | 1.87590i | 0.259311 | + | 0.149713i | 0.624020 | − | 0.781408i | \(-0.285498\pi\) |
−0.364709 | + | 0.931122i | \(0.618832\pi\) | |||||||
\(158\) | 5.38569 | − | 20.0997i | 0.428462 | − | 1.59904i | ||||
\(159\) | 2.87009i | 0.227613i | ||||||||
\(160\) | 3.54961 | + | 6.14810i | 0.280621 | + | 0.486050i | ||||
\(161\) | 1.20933 | + | 0.481303i | 0.0953088 | + | 0.0379320i | ||||
\(162\) | 6.11365 | − | 22.8164i | 0.480333 | − | 1.79263i | ||||
\(163\) | 1.74265 | + | 6.50367i | 0.136495 | + | 0.509407i | 0.999987 | + | 0.00504443i | \(0.00160570\pi\) |
−0.863492 | + | 0.504362i | \(0.831728\pi\) | |||||||
\(164\) | 11.2321 | − | 3.00964i | 0.877081 | − | 0.235013i | ||||
\(165\) | −0.439418 | −0.0342087 | ||||||||
\(166\) | −20.7327 | −1.60917 | ||||||||
\(167\) | −11.3562 | + | 3.04289i | −0.878770 | + | 0.235466i | −0.669876 | − | 0.742473i | \(-0.733653\pi\) |
−0.208894 | + | 0.977938i | \(0.566986\pi\) | |||||||
\(168\) | −8.28031 | − | 6.17242i | −0.638840 | − | 0.476212i | ||||
\(169\) | 12.8303 | − | 2.09370i | 0.986946 | − | 0.161054i | ||||
\(170\) | −0.276650 | − | 0.479172i | −0.0212181 | − | 0.0367508i | ||||
\(171\) | −24.6323 | − | 6.60019i | −1.88368 | − | 0.504729i | ||||
\(172\) | 6.33922 | + | 10.9799i | 0.483361 | + | 0.837206i | ||||
\(173\) | −8.07033 | + | 13.9782i | −0.613576 | + | 1.06274i | 0.377057 | + | 0.926190i | \(0.376936\pi\) |
−0.990633 | + | 0.136555i | \(0.956397\pi\) | |||||||
\(174\) | 36.4560 | − | 36.4560i | 2.76372 | − | 2.76372i | ||||
\(175\) | 7.80813 | − | 6.16604i | 0.590239 | − | 0.466109i | ||||
\(176\) | 0.609725 | + | 0.163375i | 0.0459597 | + | 0.0123149i | ||||
\(177\) | −20.4105 | − | 5.46898i | −1.53415 | − | 0.411074i | ||||
\(178\) | 7.69257i | 0.576583i | ||||||||
\(179\) | 7.96378 | − | 4.59789i | 0.595241 | − | 0.343663i | −0.171926 | − | 0.985110i | \(-0.554999\pi\) |
0.767167 | + | 0.641447i | \(0.221666\pi\) | |||||||
\(180\) | 6.57560 | + | 6.57560i | 0.490116 | + | 0.490116i | ||||
\(181\) | 14.6492 | 1.08887 | 0.544433 | − | 0.838804i | \(-0.316745\pi\) | ||||
0.544433 | + | 0.838804i | \(0.316745\pi\) | |||||||
\(182\) | −15.3105 | + | 8.11745i | −1.13489 | + | 0.601706i | ||||
\(183\) | −23.9078 | −1.76732 | ||||||||
\(184\) | −0.442316 | − | 0.442316i | −0.0326080 | − | 0.0326080i | ||||
\(185\) | −3.84603 | + | 2.22051i | −0.282766 | + | 0.163255i | ||||
\(186\) | 39.9564i | 2.92975i | ||||||||
\(187\) | −0.0339722 | − | 0.00910282i | −0.00248429 | − | 0.000665664i | ||||
\(188\) | −7.35861 | − | 1.97173i | −0.536682 | − | 0.143804i | ||||
\(189\) | −25.8453 | − | 10.2862i | −1.87997 | − | 0.748209i | ||||
\(190\) | 5.67653 | − | 5.67653i | 0.411819 | − | 0.411819i | ||||
\(191\) | −3.01632 | + | 5.22442i | −0.218253 | + | 0.378026i | −0.954274 | − | 0.298933i | \(-0.903369\pi\) |
0.736021 | + | 0.676959i | \(0.236703\pi\) | |||||||
\(192\) | −2.70703 | − | 4.68872i | −0.195363 | − | 0.338379i | ||||
\(193\) | −0.397063 | − | 0.106393i | −0.0285812 | − | 0.00765832i | 0.244500 | − | 0.969649i | \(-0.421376\pi\) |
−0.273081 | + | 0.961991i | \(0.588043\pi\) | |||||||
\(194\) | 2.25080 | + | 3.89849i | 0.161598 | + | 0.279895i | ||||
\(195\) | −11.6071 | + | 4.14087i | −0.831201 | + | 0.296534i | ||||
\(196\) | 6.25326 | − | 6.61168i | 0.446661 | − | 0.472263i | ||||
\(197\) | 18.9784 | − | 5.08526i | 1.35216 | − | 0.362309i | 0.491227 | − | 0.871032i | \(-0.336549\pi\) |
0.860931 | + | 0.508722i | \(0.169882\pi\) | |||||||
\(198\) | 1.50047 | 0.106634 | ||||||||
\(199\) | 17.4220 | 1.23502 | 0.617508 | − | 0.786565i | \(-0.288142\pi\) | ||||
0.617508 | + | 0.786565i | \(0.288142\pi\) | |||||||
\(200\) | −4.61855 | + | 1.23754i | −0.326581 | + | 0.0875071i | ||||
\(201\) | −0.972172 | − | 3.62820i | −0.0685717 | − | 0.255913i | ||||
\(202\) | −0.793857 | + | 2.96271i | −0.0558556 | + | 0.208456i | ||||
\(203\) | −15.1584 | − | 19.1953i | −1.06391 | − | 1.34725i | ||||
\(204\) | 0.545929 | + | 0.945576i | 0.0382227 | + | 0.0662036i | ||||
\(205\) | − | 9.95832i | − | 0.695520i | ||||||
\(206\) | 4.12303 | − | 15.3874i | 0.287265 | − | 1.07209i | ||||
\(207\) | −2.73723 | − | 1.58034i | −0.190251 | − | 0.109841i | ||||
\(208\) | 17.6453 | − | 1.43025i | 1.22348 | − | 0.0991703i | ||||
\(209\) | − | 0.510290i | − | 0.0352975i | ||||||
\(210\) | 12.8924 | − | 10.1811i | 0.889662 | − | 0.702561i | ||||
\(211\) | 7.69760 | − | 13.3326i | 0.529925 | − | 0.917856i | −0.469466 | − | 0.882951i | \(-0.655554\pi\) |
0.999391 | − | 0.0349058i | \(-0.0111131\pi\) | |||||||
\(212\) | 1.05258 | + | 0.607707i | 0.0722914 | + | 0.0417375i | ||||
\(213\) | −2.43738 | − | 9.09644i | −0.167007 | − | 0.623278i | ||||
\(214\) | −3.46550 | − | 3.46550i | −0.236897 | − | 0.236897i | ||||
\(215\) | 10.4877 | − | 2.81016i | 0.715252 | − | 0.191651i | ||||
\(216\) | 9.45297 | + | 9.45297i | 0.643193 | + | 0.643193i | ||||
\(217\) | 18.8262 | + | 2.21225i | 1.27800 | + | 0.150178i | ||||
\(218\) | −14.6203 | − | 8.44105i | −0.990214 | − | 0.571700i | ||||
\(219\) | −0.266992 | + | 0.266992i | −0.0180417 | + | 0.0180417i | ||||
\(220\) | −0.0930415 | + | 0.161153i | −0.00627286 | + | 0.0108649i | ||||
\(221\) | −0.983146 | + | 0.0796899i | −0.0661335 | + | 0.00536052i | ||||
\(222\) | 19.2653 | − | 11.1228i | 1.29300 | − | 0.746516i | ||||
\(223\) | 3.59157 | + | 13.4039i | 0.240509 | + | 0.897592i | 0.975588 | + | 0.219610i | \(0.0704786\pi\) |
−0.735079 | + | 0.677982i | \(0.762855\pi\) | |||||||
\(224\) | −15.4949 | + | 6.67248i | −1.03529 | + | 0.445824i | ||||
\(225\) | −20.9231 | + | 12.0799i | −1.39487 | + | 0.805330i | ||||
\(226\) | 1.63122 | − | 6.08779i | 0.108507 | − | 0.404954i | ||||
\(227\) | −8.44643 | + | 8.44643i | −0.560610 | + | 0.560610i | −0.929481 | − | 0.368871i | \(-0.879744\pi\) |
0.368871 | + | 0.929481i | \(0.379744\pi\) | |||||||
\(228\) | −11.2018 | + | 11.2018i | −0.741858 | + | 0.741858i | ||||
\(229\) | −6.35901 | + | 23.7322i | −0.420215 | + | 1.56826i | 0.353939 | + | 0.935268i | \(0.384842\pi\) |
−0.774155 | + | 0.632997i | \(0.781825\pi\) | |||||||
\(230\) | 0.861686 | − | 0.497495i | 0.0568179 | − | 0.0328038i | ||||
\(231\) | 0.121868 | − | 1.03709i | 0.00801833 | − | 0.0682356i | ||||
\(232\) | 3.04233 | + | 11.3541i | 0.199739 | + | 0.745435i | ||||
\(233\) | 15.3919 | − | 8.88654i | 1.00836 | − | 0.582177i | 0.0976486 | − | 0.995221i | \(-0.468868\pi\) |
0.910711 | + | 0.413044i | \(0.135535\pi\) | |||||||
\(234\) | 39.6345 | − | 14.1397i | 2.59099 | − | 0.924343i | ||||
\(235\) | −3.26205 | + | 5.65004i | −0.212793 | + | 0.368568i | ||||
\(236\) | −6.32738 | + | 6.32738i | −0.411877 | + | 0.411877i | ||||
\(237\) | 30.4544 | + | 17.5828i | 1.97822 | + | 1.14213i | ||||
\(238\) | 1.20764 | − | 0.520042i | 0.0782799 | − | 0.0337093i | ||||
\(239\) | 17.0580 | + | 17.0580i | 1.10339 | + | 1.10339i | 0.993999 | + | 0.109392i | \(0.0348902\pi\) |
0.109392 | + | 0.993999i | \(0.465110\pi\) | |||||||
\(240\) | −16.2102 | + | 4.34351i | −1.04636 | + | 0.280372i | ||||
\(241\) | 7.33684 | + | 7.33684i | 0.472607 | + | 0.472607i | 0.902757 | − | 0.430150i | \(-0.141539\pi\) |
−0.430150 | + | 0.902757i | \(0.641539\pi\) | |||||||
\(242\) | −5.16413 | − | 19.2728i | −0.331963 | − | 1.23890i | ||||
\(243\) | 7.25497 | + | 4.18866i | 0.465406 | + | 0.268702i | ||||
\(244\) | −5.06220 | + | 8.76798i | −0.324074 | + | 0.561312i | ||||
\(245\) | −4.08318 | − | 6.63819i | −0.260865 | − | 0.424098i | ||||
\(246\) | 49.8827i | 3.18040i | ||||||||
\(247\) | −4.80873 | − | 13.4792i | −0.305972 | − | 0.857658i | ||||
\(248\) | −7.88939 | − | 4.55494i | −0.500977 | − | 0.289239i | ||||
\(249\) | 9.06829 | − | 33.8433i | 0.574679 | − | 2.14473i | ||||
\(250\) | − | 17.7182i | − | 1.12060i | ||||||
\(251\) | −4.56198 | − | 7.90158i | −0.287950 | − | 0.498743i | 0.685371 | − | 0.728194i | \(-0.259640\pi\) |
−0.973320 | + | 0.229451i | \(0.926307\pi\) | |||||||
\(252\) | −17.3431 | + | 13.6957i | −1.09251 | + | 0.862748i | ||||
\(253\) | 0.0163694 | − | 0.0610915i | 0.00102914 | − | 0.00384079i | ||||
\(254\) | −0.821460 | − | 3.06573i | −0.0515430 | − | 0.192361i | ||||
\(255\) | 0.903188 | − | 0.242009i | 0.0565599 | − | 0.0151552i | ||||
\(256\) | 20.8742 | 1.30464 | ||||||||
\(257\) | −30.7159 | −1.91601 | −0.958003 | − | 0.286758i | \(-0.907422\pi\) | ||||
−0.958003 | + | 0.286758i | \(0.907422\pi\) | |||||||
\(258\) | −52.5342 | + | 14.0765i | −3.27064 | + | 0.876364i | ||||
\(259\) | −4.17407 | − | 9.69303i | −0.259364 | − | 0.602296i | ||||
\(260\) | −0.939035 | + | 5.13358i | −0.0582365 | + | 0.318371i | ||||
\(261\) | 29.6970 | + | 51.4368i | 1.83820 | + | 3.18386i | ||||
\(262\) | −10.4336 | − | 2.79568i | −0.644591 | − | 0.172718i | ||||
\(263\) | −2.77339 | − | 4.80365i | −0.171015 | − | 0.296206i | 0.767760 | − | 0.640737i | \(-0.221371\pi\) |
−0.938775 | + | 0.344531i | \(0.888038\pi\) | |||||||
\(264\) | −0.250922 | + | 0.434609i | −0.0154432 | + | 0.0267483i | ||||
\(265\) | 0.736000 | − | 0.736000i | 0.0452121 | − | 0.0452121i | ||||
\(266\) | 11.8231 | + | 14.9718i | 0.724923 | + | 0.917979i | ||||
\(267\) | −12.5571 | − | 3.36466i | −0.768481 | − | 0.205914i | ||||
\(268\) | −1.53645 | − | 0.411691i | −0.0938538 | − | 0.0251481i | ||||
\(269\) | 5.45085i | 0.332344i | 0.986097 | + | 0.166172i | \(0.0531407\pi\) | ||||
−0.986097 | + | 0.166172i | \(0.946859\pi\) | |||||||
\(270\) | −18.4155 | + | 10.6322i | −1.12073 | + | 0.647056i | ||||
\(271\) | −7.56230 | − | 7.56230i | −0.459377 | − | 0.459377i | 0.439074 | − | 0.898451i | \(-0.355307\pi\) |
−0.898451 | + | 0.439074i | \(0.855307\pi\) | |||||||
\(272\) | −1.34322 | −0.0814446 | ||||||||
\(273\) | −6.55396 | − | 28.5429i | −0.396664 | − | 1.72749i | ||||
\(274\) | −35.6823 | −2.15564 | ||||||||
\(275\) | −0.341851 | − | 0.341851i | −0.0206144 | − | 0.0206144i | ||||
\(276\) | −1.70041 | + | 0.981733i | −0.102353 | + | 0.0590934i | ||||
\(277\) | − | 24.5511i | − | 1.47513i | −0.675275 | − | 0.737566i | \(-0.735975\pi\) | ||
0.675275 | − | 0.737566i | \(-0.264025\pi\) | |||||||
\(278\) | 9.73655 | + | 2.60890i | 0.583960 | + | 0.156472i | ||||
\(279\) | −44.4621 | − | 11.9136i | −2.66187 | − | 0.713247i | ||||
\(280\) | 0.540544 | + | 3.70623i | 0.0323037 | + | 0.221490i | ||||
\(281\) | 8.66937 | − | 8.66937i | 0.517172 | − | 0.517172i | −0.399543 | − | 0.916714i | \(-0.630831\pi\) |
0.916714 | + | 0.399543i | \(0.130831\pi\) | |||||||
\(282\) | 16.3401 | − | 28.3019i | 0.973038 | − | 1.68535i | ||||
\(283\) | 1.41770 | + | 2.45554i | 0.0842738 | + | 0.145967i | 0.905082 | − | 0.425238i | \(-0.139810\pi\) |
−0.820808 | + | 0.571205i | \(0.806476\pi\) | |||||||
\(284\) | −3.85212 | − | 1.03217i | −0.228581 | − | 0.0612482i | ||||
\(285\) | 6.78331 | + | 11.7490i | 0.401809 | + | 0.695953i | ||||
\(286\) | 0.478571 | + | 0.692848i | 0.0282985 | + | 0.0409690i | ||||
\(287\) | 23.5031 | + | 2.76184i | 1.38735 | + | 0.163026i | ||||
\(288\) | 39.5710 | − | 10.6030i | 2.33174 | − | 0.624789i | ||||
\(289\) | −16.9252 | −0.995598 | ||||||||
\(290\) | −18.6974 | −1.09795 | ||||||||
\(291\) | −7.34824 | + | 1.96896i | −0.430762 | + | 0.115422i | ||||
\(292\) | 0.0413846 | + | 0.154449i | 0.00242185 | + | 0.00903846i | ||||
\(293\) | 5.11331 | − | 19.0831i | 0.298723 | − | 1.11485i | −0.639493 | − | 0.768797i | \(-0.720856\pi\) |
0.938215 | − | 0.346052i | \(-0.112478\pi\) | |||||||
\(294\) | 20.4532 | + | 33.2516i | 1.19286 | + | 1.93927i | ||||
\(295\) | 3.83157 | + | 6.63648i | 0.223083 | + | 0.386391i | ||||
\(296\) | 5.07192i | 0.294799i | ||||||||
\(297\) | −0.349840 | + | 1.30562i | −0.0202998 | + | 0.0757597i | ||||
\(298\) | 0.677971 | + | 0.391427i | 0.0392738 | + | 0.0226747i | ||||
\(299\) | −0.143305 | − | 1.76797i | −0.00828753 | − | 0.102244i | ||||
\(300\) | 15.0085i | 0.866517i | ||||||||
\(301\) | 3.72375 | + | 25.5318i | 0.214633 | + | 1.47163i | ||||
\(302\) | −3.22236 | + | 5.58129i | −0.185426 | + | 0.321167i | ||||
\(303\) | −4.48901 | − | 2.59173i | −0.257887 | − | 0.148891i | ||||
\(304\) | −5.04406 | − | 18.8247i | −0.289296 | − | 1.07967i | ||||
\(305\) | 6.13088 | + | 6.13088i | 0.351053 | + | 0.351053i | ||||
\(306\) | −3.08410 | + | 0.826381i | −0.176306 | + | 0.0472411i | ||||
\(307\) | −6.98294 | − | 6.98294i | −0.398537 | − | 0.398537i | 0.479180 | − | 0.877717i | \(-0.340934\pi\) |
−0.877717 | + | 0.479180i | \(0.840934\pi\) | |||||||
\(308\) | −0.354540 | − | 0.264286i | −0.0202018 | − | 0.0150591i | ||||
\(309\) | 23.3144 | + | 13.4606i | 1.32631 | + | 0.765746i | ||||
\(310\) | 10.2463 | − | 10.2463i | 0.581953 | − | 0.581953i | ||||
\(311\) | 13.2286 | − | 22.9126i | 0.750126 | − | 1.29926i | −0.197636 | − | 0.980276i | \(-0.563326\pi\) |
0.947761 | − | 0.318980i | \(-0.103340\pi\) | |||||||
\(312\) | −2.53246 | + | 13.8446i | −0.143373 | + | 0.783798i | ||||
\(313\) | 10.2371 | − | 5.91040i | 0.578636 | − | 0.334076i | −0.181955 | − | 0.983307i | \(-0.558243\pi\) |
0.760591 | + | 0.649231i | \(0.224909\pi\) | |||||||
\(314\) | 1.76400 | + | 6.58332i | 0.0995480 | + | 0.371518i | ||||
\(315\) | 7.48507 | + | 17.3819i | 0.421736 | + | 0.979357i | ||||
\(316\) | 12.8967 | − | 7.44590i | 0.725495 | − | 0.418865i | ||||
\(317\) | 0.945407 | − | 3.52831i | 0.0530994 | − | 0.198170i | −0.934281 | − | 0.356538i | \(-0.883957\pi\) |
0.987380 | + | 0.158369i | \(0.0506235\pi\) | |||||||
\(318\) | −3.68673 | + | 3.68673i | −0.206742 | + | 0.206742i | ||||
\(319\) | −0.840398 | + | 0.840398i | −0.0470532 | + | 0.0470532i | ||||
\(320\) | −0.508180 | + | 1.89655i | −0.0284081 | + | 0.106020i | ||||
\(321\) | 7.17274 | − | 4.14118i | 0.400343 | − | 0.231138i | ||||
\(322\) | 0.935181 | + | 2.17168i | 0.0521156 | + | 0.121023i | ||||
\(323\) | 0.281041 | + | 1.04886i | 0.0156375 | + | 0.0583601i | ||||
\(324\) | 14.6399 | − | 8.45233i | 0.813326 | − | 0.469574i | ||||
\(325\) | −12.2513 | − | 5.80844i | −0.679581 | − | 0.322194i | ||||
\(326\) | −6.11569 | + | 10.5927i | −0.338717 | + | 0.586675i | ||||
\(327\) | 20.1737 | − | 20.1737i | 1.11561 | − | 1.11561i | ||||
\(328\) | −9.84934 | − | 5.68652i | −0.543839 | − | 0.313985i | ||||
\(329\) | −12.4302 | − | 9.26590i | −0.685301 | − | 0.510846i | ||||
\(330\) | −0.564448 | − | 0.564448i | −0.0310718 | − | 0.0310718i | ||||
\(331\) | −8.31943 | + | 2.22918i | −0.457277 | + | 0.122527i | −0.480102 | − | 0.877212i | \(-0.659401\pi\) |
0.0228253 | + | 0.999739i | \(0.492734\pi\) | |||||||
\(332\) | −10.4916 | − | 10.4916i | −0.575803 | − | 0.575803i | ||||
\(333\) | 6.63287 | + | 24.7542i | 0.363479 | + | 1.35652i | ||||
\(334\) | −18.4961 | − | 10.6788i | −1.01206 | − | 0.584315i | ||||
\(335\) | −0.681105 | + | 1.17971i | −0.0372128 | + | 0.0644544i | ||||
\(336\) | −5.75560 | − | 39.4631i | −0.313993 | − | 2.15289i | ||||
\(337\) | 26.3426i | 1.43497i | 0.696572 | + | 0.717487i | \(0.254708\pi\) | ||||
−0.696572 | + | 0.717487i | \(0.745292\pi\) | |||||||
\(338\) | 19.1704 | + | 13.7915i | 1.04273 | + | 0.750160i | ||||
\(339\) | 9.22402 | + | 5.32549i | 0.500980 | + | 0.289241i | ||||
\(340\) | 0.102485 | − | 0.382479i | 0.00555802 | − | 0.0207428i | ||||
\(341\) | − | 0.921091i | − | 0.0498799i | ||||||
\(342\) | −23.1628 | − | 40.1192i | −1.25250 | − | 2.16940i | ||||
\(343\) | 16.7995 | − | 7.79588i | 0.907089 | − | 0.420938i | ||||
\(344\) | 3.20938 | − | 11.9776i | 0.173038 | − | 0.645787i | ||||
\(345\) | 0.435199 | + | 1.62419i | 0.0234303 | + | 0.0874432i | ||||
\(346\) | −28.3221 | + | 7.58889i | −1.52261 | + | 0.407981i | ||||
\(347\) | 5.22676 | 0.280587 | 0.140294 | − | 0.990110i | \(-0.455195\pi\) | ||||
0.140294 | + | 0.990110i | \(0.455195\pi\) | |||||||
\(348\) | 36.8966 | 1.97786 | ||||||||
\(349\) | −11.2071 | + | 3.00292i | −0.599900 | + | 0.160743i | −0.545974 | − | 0.837802i | \(-0.683840\pi\) |
−0.0539262 | + | 0.998545i | \(0.517174\pi\) | |||||||
\(350\) | 17.9503 | + | 2.10933i | 0.959484 | + | 0.112748i | ||||
\(351\) | 3.06264 | + | 37.7842i | 0.163472 | + | 2.01677i | ||||
\(352\) | 0.409883 | + | 0.709938i | 0.0218468 | + | 0.0378398i | ||||
\(353\) | 8.33853 | + | 2.23430i | 0.443815 | + | 0.118920i | 0.473804 | − | 0.880630i | \(-0.342881\pi\) |
−0.0299889 | + | 0.999550i | \(0.509547\pi\) | |||||||
\(354\) | −19.1929 | − | 33.2431i | −1.02009 | − | 1.76685i | ||||
\(355\) | −1.70763 | + | 2.95771i | −0.0906318 | + | 0.156979i | ||||
\(356\) | −3.89277 | + | 3.89277i | −0.206316 | + | 0.206316i | ||||
\(357\) | 0.320686 | + | 2.19878i | 0.0169725 | + | 0.116372i | ||||
\(358\) | 16.1359 | + | 4.32360i | 0.852809 | + | 0.228510i | ||||
\(359\) | 29.9910 | + | 8.03606i | 1.58286 | + | 0.424127i | 0.939811 | − | 0.341695i | \(-0.111001\pi\) |
0.643053 | + | 0.765822i | \(0.277668\pi\) | |||||||
\(360\) | − | 9.09513i | − | 0.479355i | ||||||
\(361\) | 2.81049 | − | 1.62264i | 0.147921 | − | 0.0854020i | ||||
\(362\) | 18.8174 | + | 18.8174i | 0.989021 | + | 0.989021i | ||||
\(363\) | 33.7190 | 1.76979 | ||||||||
\(364\) | −11.8556 | − | 3.64001i | −0.621400 | − | 0.190788i | ||||
\(365\) | 0.136934 | 0.00716744 | ||||||||
\(366\) | −30.7104 | − | 30.7104i | −1.60526 | − | 1.60526i | ||||
\(367\) | −2.26835 | + | 1.30963i | −0.118407 | + | 0.0683622i | −0.558034 | − | 0.829818i | \(-0.688444\pi\) |
0.439627 | + | 0.898180i | \(0.355111\pi\) | |||||||
\(368\) | − | 2.41548i | − | 0.125916i | ||||||
\(369\) | −55.5077 | − | 14.8732i | −2.88962 | − | 0.774270i | ||||
\(370\) | −7.79268 | − | 2.08804i | −0.405122 | − | 0.108552i | ||||
\(371\) | 1.53295 | + | 1.94119i | 0.0795866 | + | 0.100782i | ||||
\(372\) | −20.2197 | + | 20.2197i | −1.04834 | + | 1.04834i | ||||
\(373\) | −17.9182 | + | 31.0351i | −0.927767 | + | 1.60694i | −0.140717 | + | 0.990050i | \(0.544941\pi\) |
−0.787050 | + | 0.616889i | \(0.788393\pi\) | |||||||
\(374\) | −0.0319456 | − | 0.0553314i | −0.00165187 | − | 0.00286112i | ||||
\(375\) | 28.9226 | + | 7.74977i | 1.49355 | + | 0.400197i | ||||
\(376\) | 3.72547 | + | 6.45270i | 0.192126 | + | 0.332773i | ||||
\(377\) | −14.2793 | + | 30.1184i | −0.735423 | + | 1.55117i | ||||
\(378\) | −19.9862 | − | 46.4121i | −1.02798 | − | 2.38718i | ||||
\(379\) | −22.2660 | + | 5.96617i | −1.14373 | + | 0.306461i | −0.780450 | − | 0.625219i | \(-0.785010\pi\) |
−0.363280 | + | 0.931680i | \(0.618343\pi\) | |||||||
\(380\) | 5.74514 | 0.294719 | ||||||||
\(381\) | 5.36369 | 0.274790 | ||||||||
\(382\) | −10.5855 | + | 2.83638i | −0.541602 | + | 0.145122i | ||||
\(383\) | 3.37720 | + | 12.6039i | 0.172567 | + | 0.644029i | 0.996953 | + | 0.0780010i | \(0.0248537\pi\) |
−0.824386 | + | 0.566028i | \(0.808480\pi\) | |||||||
\(384\) | −7.58748 | + | 28.3169i | −0.387197 | + | 1.44504i | ||||
\(385\) | −0.297201 | + | 0.234698i | −0.0151468 | + | 0.0119613i | ||||
\(386\) | −0.373376 | − | 0.646707i | −0.0190044 | − | 0.0329165i | ||||
\(387\) | − | 62.6553i | − | 3.18495i | ||||||
\(388\) | −0.833805 | + | 3.11180i | −0.0423301 | + | 0.157978i | ||||
\(389\) | 21.4938 | + | 12.4094i | 1.08978 | + | 0.629183i | 0.933517 | − | 0.358533i | \(-0.116723\pi\) |
0.156260 | + | 0.987716i | \(0.450056\pi\) | |||||||
\(390\) | −20.2288 | − | 9.59062i | −1.02433 | − | 0.485640i | ||||
\(391\) | 0.134584i | 0.00680621i | ||||||||
\(392\) | −8.89716 | + | 0.247880i | −0.449375 | + | 0.0125198i | ||||
\(393\) | 9.12714 | − | 15.8087i | 0.460403 | − | 0.797442i | ||||
\(394\) | 30.9106 | + | 17.8463i | 1.55726 | + | 0.899082i | ||||
\(395\) | −3.30075 | − | 12.3186i | −0.166079 | − | 0.619814i | ||||
\(396\) | 0.759303 | + | 0.759303i | 0.0381564 | + | 0.0381564i | ||||
\(397\) | 9.34451 | − | 2.50385i | 0.468987 | − | 0.125665i | −0.0165827 | − | 0.999862i | \(-0.505279\pi\) |
0.485570 | + | 0.874198i | \(0.338612\pi\) | |||||||
\(398\) | 22.3792 | + | 22.3792i | 1.12177 | + | 1.12177i | ||||
\(399\) | −29.6108 | + | 12.7511i | −1.48239 | + | 0.638356i | ||||
\(400\) | −15.9900 | − | 9.23184i | −0.799501 | − | 0.461592i | ||||
\(401\) | −4.95225 | + | 4.95225i | −0.247304 | + | 0.247304i | −0.819863 | − | 0.572559i | \(-0.805951\pi\) |
0.572559 | + | 0.819863i | \(0.305951\pi\) | |||||||
\(402\) | 3.41175 | − | 5.90933i | 0.170163 | − | 0.294731i | ||||
\(403\) | −8.67993 | − | 24.3303i | −0.432378 | − | 1.21198i | ||||
\(404\) | −1.90099 | + | 1.09754i | −0.0945776 | + | 0.0546044i | ||||
\(405\) | −3.74689 | − | 13.9836i | −0.186185 | − | 0.694850i | ||||
\(406\) | 5.18553 | − | 44.1286i | 0.257353 | − | 2.19007i | ||||
\(407\) | −0.444112 | + | 0.256408i | −0.0220138 | + | 0.0127097i | ||||
\(408\) | 0.276389 | − | 1.03150i | 0.0136833 | − | 0.0510668i | ||||
\(409\) | 10.7508 | − | 10.7508i | 0.531591 | − | 0.531591i | −0.389455 | − | 0.921045i | \(-0.627337\pi\) |
0.921045 | + | 0.389455i | \(0.127337\pi\) | |||||||
\(410\) | 12.7918 | − | 12.7918i | 0.631743 | − | 0.631743i | ||||
\(411\) | 15.6071 | − | 58.2465i | 0.769841 | − | 2.87309i | ||||
\(412\) | 9.87310 | − | 5.70024i | 0.486413 | − | 0.280831i | ||||
\(413\) | −16.7257 | + | 7.20252i | −0.823019 | + | 0.354413i | ||||
\(414\) | −1.48606 | − | 5.54607i | −0.0730361 | − | 0.272574i | ||||
\(415\) | −11.0042 | + | 6.35326i | −0.540173 | + | 0.311869i | ||||
\(416\) | 17.5171 | + | 14.8903i | 0.858844 | + | 0.730055i | ||||
\(417\) | −8.51736 | + | 14.7525i | −0.417097 | + | 0.722433i | ||||
\(418\) | 0.655485 | − | 0.655485i | 0.0320608 | − | 0.0320608i | ||||
\(419\) | 21.4435 | + | 12.3804i | 1.04758 | + | 0.604823i | 0.921972 | − | 0.387257i | \(-0.126577\pi\) |
0.125612 | + | 0.992079i | \(0.459911\pi\) | |||||||
\(420\) | 11.6762 | + | 1.37206i | 0.569739 | + | 0.0669497i | ||||
\(421\) | −4.11077 | − | 4.11077i | −0.200347 | − | 0.200347i | 0.599802 | − | 0.800149i | \(-0.295246\pi\) |
−0.800149 | + | 0.599802i | \(0.795246\pi\) | |||||||
\(422\) | 27.0141 | − | 7.23840i | 1.31502 | − | 0.352360i | ||||
\(423\) | 26.6213 | + | 26.6213i | 1.29437 | + | 1.29437i | ||||
\(424\) | −0.307666 | − | 1.14822i | −0.0149416 | − | 0.0557627i | ||||
\(425\) | 0.890920 | + | 0.514373i | 0.0432160 | + | 0.0249508i | ||||
\(426\) | 8.55379 | − | 14.8156i | 0.414432 | − | 0.717818i | ||||
\(427\) | −16.1701 | + | 12.7694i | −0.782526 | + | 0.617956i | ||||
\(428\) | − | 3.50738i | − | 0.169536i | ||||||
\(429\) | −1.34030 | + | 0.478158i | −0.0647105 | + | 0.0230857i | ||||
\(430\) | 17.0815 | + | 9.86201i | 0.823744 | + | 0.475589i | ||||
\(431\) | −5.00354 | + | 18.6735i | −0.241012 | + | 0.899470i | 0.734334 | + | 0.678789i | \(0.237495\pi\) |
−0.975346 | + | 0.220681i | \(0.929172\pi\) | |||||||
\(432\) | 51.6226i | 2.48369i | ||||||||
\(433\) | 1.10640 | + | 1.91634i | 0.0531702 | + | 0.0920934i | 0.891385 | − | 0.453246i | \(-0.149734\pi\) |
−0.838215 | + | 0.545339i | \(0.816401\pi\) | |||||||
\(434\) | 21.3412 | + | 27.0246i | 1.02441 | + | 1.29722i | ||||
\(435\) | 8.17807 | − | 30.5210i | 0.392108 | − | 1.46337i | ||||
\(436\) | −3.12698 | − | 11.6700i | −0.149755 | − | 0.558894i | ||||
\(437\) | −1.88614 | + | 0.505391i | −0.0902265 | + | 0.0241761i | ||||
\(438\) | −0.685921 | −0.0327746 | ||||||||
\(439\) | 7.34269 | 0.350447 | 0.175224 | − | 0.984529i | \(-0.443935\pi\) | ||||
0.175224 | + | 0.984529i | \(0.443935\pi\) | |||||||
\(440\) | 0.175796 | − | 0.0471044i | 0.00838075 | − | 0.00224562i | ||||
\(441\) | −43.0997 | + | 12.8452i | −2.05237 | + | 0.611676i | ||||
\(442\) | −1.36525 | − | 1.16052i | −0.0649383 | − | 0.0552003i | ||||
\(443\) | −13.2926 | − | 23.0235i | −0.631552 | − | 1.09388i | −0.987235 | − | 0.159273i | \(-0.949085\pi\) |
0.355683 | − | 0.934607i | \(-0.384248\pi\) | |||||||
\(444\) | 15.3777 | + | 4.12044i | 0.729794 | + | 0.195548i | ||||
\(445\) | 2.35729 | + | 4.08294i | 0.111746 | + | 0.193550i | ||||
\(446\) | −12.6043 | + | 21.8313i | −0.596831 | + | 1.03374i | ||||
\(447\) | −0.935490 | + | 0.935490i | −0.0442472 | + | 0.0442472i | ||||
\(448\) | −4.33520 | − | 1.72537i | −0.204819 | − | 0.0815160i | ||||
\(449\) | −21.6019 | − | 5.78821i | −1.01946 | − | 0.273163i | −0.289881 | − | 0.957063i | \(-0.593616\pi\) |
−0.729576 | + | 0.683900i | \(0.760282\pi\) | |||||||
\(450\) | −42.3935 | − | 11.3593i | −1.99845 | − | 0.535483i | ||||
\(451\) | − | 1.14992i | − | 0.0541474i | ||||||
\(452\) | 3.90615 | − | 2.25522i | 0.183730 | − | 0.106076i | ||||
\(453\) | −7.70127 | − | 7.70127i | −0.361837 | − | 0.361837i | ||||
\(454\) | −21.6995 | −1.01841 | ||||||||
\(455\) | −5.63880 | + | 9.00016i | −0.264351 | + | 0.421934i | ||||
\(456\) | 15.4939 | 0.725570 | ||||||||
\(457\) | 1.59916 | + | 1.59916i | 0.0748054 | + | 0.0748054i | 0.743520 | − | 0.668714i | \(-0.233155\pi\) |
−0.668714 | + | 0.743520i | \(0.733155\pi\) | |||||||
\(458\) | −38.6532 | + | 22.3164i | −1.80614 | + | 1.04278i | ||||
\(459\) | − | 2.87627i | − | 0.134253i | ||||||
\(460\) | 0.687804 | + | 0.184296i | 0.0320690 | + | 0.00859287i | ||||
\(461\) | −3.60574 | − | 0.966154i | −0.167936 | − | 0.0449983i | 0.173871 | − | 0.984768i | \(-0.444372\pi\) |
−0.341807 | + | 0.939770i | \(0.611039\pi\) | |||||||
\(462\) | 1.48872 | − | 1.17564i | 0.0692617 | − | 0.0546956i | ||||
\(463\) | −15.5412 | + | 15.5412i | −0.722262 | + | 0.722262i | −0.969066 | − | 0.246804i | \(-0.920620\pi\) |
0.246804 | + | 0.969066i | \(0.420620\pi\) | |||||||
\(464\) | −22.6953 | + | 39.3095i | −1.05360 | + | 1.82490i | ||||
\(465\) | 12.2441 | + | 21.2074i | 0.567807 | + | 0.983471i | ||||
\(466\) | 31.1866 | + | 8.35641i | 1.44469 | + | 0.387103i | ||||
\(467\) | −2.73553 | − | 4.73808i | −0.126585 | − | 0.219252i | 0.795766 | − | 0.605604i | \(-0.207068\pi\) |
−0.922351 | + | 0.386352i | \(0.873735\pi\) | |||||||
\(468\) | 27.2121 | + | 12.9014i | 1.25788 | + | 0.596369i | ||||
\(469\) | −2.59539 | − | 1.93469i | −0.119844 | − | 0.0893356i | ||||
\(470\) | −11.4479 | + | 3.06745i | −0.528052 | + | 0.141491i | ||||
\(471\) | −11.5179 | −0.530719 | ||||||||
\(472\) | 8.75180 | 0.402834 | ||||||||
\(473\) | 1.21104 | − | 0.324497i | 0.0556837 | − | 0.0149204i | ||||
\(474\) | 16.5339 | + | 61.7054i | 0.759428 | + | 2.83422i | ||||
\(475\) | −3.86315 | + | 14.4175i | −0.177253 | + | 0.661519i | ||||
\(476\) | 0.874283 | + | 0.347956i | 0.0400727 | + | 0.0159485i | ||||
\(477\) | −3.00321 | − | 5.20171i | −0.137508 | − | 0.238170i | ||||
\(478\) | 43.8232i | 2.00443i | ||||||||
\(479\) | 0.410401 | − | 1.53164i | 0.0187517 | − | 0.0699822i | −0.955916 | − | 0.293640i | \(-0.905133\pi\) |
0.974668 | + | 0.223658i | \(0.0717999\pi\) | |||||||
\(480\) | −18.8745 | − | 10.8972i | −0.861499 | − | 0.497387i | ||||
\(481\) | −9.31480 | + | 10.9580i | −0.424719 | + | 0.499644i | ||||
\(482\) | 18.8489i | 0.858542i | ||||||||
\(483\) | −3.95402 | + | 0.576684i | −0.179914 | + | 0.0262400i | ||||
\(484\) | 7.13958 | − | 12.3661i | 0.324527 | − | 0.562096i | ||||
\(485\) | 2.38928 | + | 1.37945i | 0.108492 | + | 0.0626378i | ||||
\(486\) | 3.93878 | + | 14.6997i | 0.178667 | + | 0.666793i | ||||
\(487\) | 5.57627 | + | 5.57627i | 0.252685 | + | 0.252685i | 0.822071 | − | 0.569386i | \(-0.192819\pi\) |
−0.569386 | + | 0.822071i | \(0.692819\pi\) | |||||||
\(488\) | 9.56470 | − | 2.56285i | 0.432974 | − | 0.116015i | ||||
\(489\) | −14.6162 | − | 14.6162i | −0.660967 | − | 0.660967i | ||||
\(490\) | 3.28199 | − | 13.7720i | 0.148265 | − | 0.622154i | ||||
\(491\) | 7.46842 | + | 4.31189i | 0.337045 | + | 0.194593i | 0.658965 | − | 0.752174i | \(-0.270995\pi\) |
−0.321919 | + | 0.946767i | \(0.604328\pi\) | |||||||
\(492\) | −25.2428 | + | 25.2428i | −1.13803 | + | 1.13803i | ||||
\(493\) | 1.26452 | − | 2.19022i | 0.0569512 | − | 0.0986424i | ||||
\(494\) | 11.1375 | − | 23.4914i | 0.501098 | − | 1.05693i | ||||
\(495\) | 0.796396 | − | 0.459800i | 0.0357953 | − | 0.0206665i | ||||
\(496\) | −9.10470 | − | 33.9792i | −0.408813 | − | 1.52571i | ||||
\(497\) | −6.50704 | − | 4.85056i | −0.291881 | − | 0.217577i | ||||
\(498\) | 55.1214 | − | 31.8244i | 2.47005 | − | 1.42608i | ||||
\(499\) | 4.10435 | − | 15.3177i | 0.183736 | − | 0.685712i | −0.811161 | − | 0.584822i | \(-0.801164\pi\) |
0.994898 | − | 0.100890i | \(-0.0321691\pi\) | |||||||
\(500\) | 8.96616 | − | 8.96616i | 0.400979 | − | 0.400979i | ||||
\(501\) | 25.5217 | − | 25.5217i | 1.14022 | − | 1.14022i | ||||
\(502\) | 4.28983 | − | 16.0099i | 0.191465 | − | 0.714556i | ||||
\(503\) | 21.6152 | − | 12.4795i | 0.963773 | − | 0.556435i | 0.0664408 | − | 0.997790i | \(-0.478836\pi\) |
0.897332 | + | 0.441356i | \(0.145502\pi\) | |||||||
\(504\) | 21.4659 | + | 2.52244i | 0.956165 | + | 0.112358i | ||||
\(505\) | 0.486534 | + | 1.81577i | 0.0216505 | + | 0.0808007i | ||||
\(506\) | 0.0995013 | − | 0.0574471i | 0.00442337 | − | 0.00255384i | ||||
\(507\) | −30.8978 | + | 25.2608i | −1.37222 | + | 1.12187i | ||||
\(508\) | 1.13570 | − | 1.96709i | 0.0503884 | − | 0.0872753i | ||||
\(509\) | −3.66666 | + | 3.66666i | −0.162522 | + | 0.162522i | −0.783683 | − | 0.621161i | \(-0.786661\pi\) |
0.621161 | + | 0.783683i | \(0.286661\pi\) | |||||||
\(510\) | 1.47105 | + | 0.849308i | 0.0651390 | + | 0.0376080i | ||||
\(511\) | −0.0379772 | + | 0.323184i | −0.00168001 | + | 0.0142968i | ||||
\(512\) | 13.3091 | + | 13.3091i | 0.588184 | + | 0.588184i | ||||
\(513\) | 40.3098 | − | 10.8010i | 1.77972 | − | 0.476874i | ||||
\(514\) | −39.4557 | − | 39.4557i | −1.74031 | − | 1.74031i | ||||
\(515\) | −2.52690 | − | 9.43051i | −0.111348 | − | 0.415558i | ||||
\(516\) | −33.7079 | − | 19.4612i | −1.48391 | − | 0.856734i | ||||
\(517\) | −0.376678 | + | 0.652426i | −0.0165663 | + | 0.0286937i | ||||
\(518\) | 7.08930 | − | 17.8128i | 0.311486 | − | 0.782648i | ||||
\(519\) | − | 49.5514i | − | 2.17506i | ||||||
\(520\) | 4.19971 | − | 2.90087i | 0.184169 | − | 0.127212i | ||||
\(521\) | −12.8926 | − | 7.44352i | −0.564833 | − | 0.326107i | 0.190250 | − | 0.981736i | \(-0.439070\pi\) |
−0.755083 | + | 0.655629i | \(0.772404\pi\) | |||||||
\(522\) | −27.9255 | + | 104.219i | −1.22226 | + | 4.56155i | ||||
\(523\) | 18.3892i | 0.804101i | 0.915617 | + | 0.402051i | \(0.131702\pi\) | ||||
−0.915617 | + | 0.402051i | \(0.868298\pi\) | |||||||
\(524\) | −3.86512 | − | 6.69459i | −0.168849 | − | 0.292455i | ||||
\(525\) | −11.2945 | + | 28.3789i | −0.492932 | + | 1.23855i | ||||
\(526\) | 2.60794 | − | 9.73298i | 0.113712 | − | 0.424378i | ||||
\(527\) | 0.507289 | + | 1.89323i | 0.0220979 | + | 0.0824703i | ||||
\(528\) | −1.87184 | + | 0.501558i | −0.0814613 | + | 0.0218275i | ||||
\(529\) | 22.7580 | 0.989477 | ||||||||
\(530\) | 1.89083 | 0.0821326 | ||||||||
\(531\) | 42.7144 | − | 11.4453i | 1.85365 | − | 0.496683i | ||||
\(532\) | −1.59335 | + | 13.5594i | −0.0690807 | + | 0.587873i | ||||
\(533\) | −10.8363 | − | 30.3747i | −0.469371 | − | 1.31567i | ||||
\(534\) | −11.8080 | − | 20.4520i | −0.510982 | − | 0.885046i | ||||
\(535\) | −2.90132 | − | 0.777406i | −0.125435 | − | 0.0336102i | ||||
\(536\) | 0.777865 | + | 1.34730i | 0.0335987 | + | 0.0581946i | ||||
\(537\) | −14.1154 | + | 24.4486i | −0.609124 | + | 1.05503i | ||||
\(538\) | −7.00181 | + | 7.00181i | −0.301869 | + | 0.301869i | ||||
\(539\) | −0.471497 | − | 0.766530i | −0.0203088 | − | 0.0330168i | ||||
\(540\) | −14.6994 | − | 3.93870i | −0.632562 | − | 0.169494i | ||||
\(541\) | 25.0540 | + | 6.71321i | 1.07716 | + | 0.288623i | 0.753431 | − | 0.657527i | \(-0.228398\pi\) |
0.323726 | + | 0.946151i | \(0.395064\pi\) | |||||||
\(542\) | − | 19.4281i | − | 0.834507i | ||||||
\(543\) | −38.9475 | + | 22.4863i | −1.67140 | + | 0.964981i | ||||
\(544\) | −1.23348 | − | 1.23348i | −0.0528849 | − | 0.0528849i | ||||
\(545\) | −10.3466 | −0.443200 | ||||||||
\(546\) | 28.2455 | − | 45.0831i | 1.20880 | − | 1.92938i | ||||
\(547\) | −32.7020 | −1.39824 | −0.699119 | − | 0.715006i | \(-0.746424\pi\) | ||||
−0.699119 | + | 0.715006i | \(0.746424\pi\) | |||||||
\(548\) | −18.0568 | − | 18.0568i | −0.771346 | − | 0.771346i | ||||
\(549\) | 43.3303 | − | 25.0167i | 1.84929 | − | 1.06769i | ||||
\(550\) | − | 0.878239i | − | 0.0374482i | ||||||
\(551\) | 35.4436 | + | 9.49708i | 1.50995 | + | 0.404589i | ||||
\(552\) | 1.85492 | + | 0.497025i | 0.0789508 | + | 0.0211548i | ||||
\(553\) | 29.9890 | − | 4.37383i | 1.27526 | − | 0.185994i | ||||
\(554\) | 31.5367 | − | 31.5367i | 1.33987 | − | 1.33987i | ||||
\(555\) | 6.81689 | − | 11.8072i | 0.289361 | − | 0.501188i | ||||
\(556\) | 3.60690 | + | 6.24733i | 0.152967 | + | 0.264946i | ||||
\(557\) | −8.96735 | − | 2.40279i | −0.379959 | − | 0.101810i | 0.0637843 | − | 0.997964i | \(-0.479683\pi\) |
−0.443743 | + | 0.896154i | \(0.646350\pi\) | |||||||
\(558\) | −41.8097 | − | 72.4165i | −1.76994 | − | 3.06563i | ||||
\(559\) | 28.9313 | − | 19.9838i | 1.22366 | − | 0.845223i | ||||
\(560\) | −8.64389 | + | 11.5958i | −0.365271 | + | 0.490012i | ||||
\(561\) | 0.104294 | − | 0.0279454i | 0.00440328 | − | 0.00117986i | ||||
\(562\) | 22.2722 | 0.939497 | ||||||||
\(563\) | −34.6988 | −1.46238 | −0.731189 | − | 0.682175i | \(-0.761034\pi\) | ||||
−0.731189 | + | 0.682175i | \(0.761034\pi\) | |||||||
\(564\) | 22.5907 | − | 6.05317i | 0.951242 | − | 0.254884i | ||||
\(565\) | −0.999731 | − | 3.73105i | −0.0420590 | − | 0.156966i | ||||
\(566\) | −1.33313 | + | 4.97531i | −0.0560357 | + | 0.209128i | ||||
\(567\) | 34.0425 | − | 4.96502i | 1.42965 | − | 0.208511i | ||||
\(568\) | 1.95023 | + | 3.37789i | 0.0818297 | + | 0.141733i | ||||
\(569\) | − | 28.8468i | − | 1.20932i | −0.796484 | − | 0.604659i | \(-0.793309\pi\) | ||
0.796484 | − | 0.604659i | \(-0.206691\pi\) | |||||||
\(570\) | −6.37865 | + | 23.8055i | −0.267172 | + | 0.997101i | ||||
\(571\) | −21.3819 | − | 12.3448i | −0.894804 | − | 0.516615i | −0.0192930 | − | 0.999814i | \(-0.506142\pi\) |
−0.875511 | + | 0.483199i | \(0.839475\pi\) | |||||||
\(572\) | −0.108433 | + | 0.592789i | −0.00453381 | + | 0.0247857i | ||||
\(573\) | − | 18.5200i | − | 0.773686i | ||||||
\(574\) | 26.6429 | + | 33.7383i | 1.11205 | + | 1.40821i | ||||
\(575\) | −0.924987 | + | 1.60212i | −0.0385746 | + | 0.0668132i | ||||
\(576\) | 9.81239 | + | 5.66519i | 0.408850 | + | 0.236049i | ||||
\(577\) | −0.963094 | − | 3.59432i | −0.0400941 | − | 0.149633i | 0.942977 | − | 0.332858i | \(-0.108013\pi\) |
−0.983071 | + | 0.183225i | \(0.941346\pi\) | |||||||
\(578\) | −21.7410 | − | 21.7410i | −0.904305 | − | 0.904305i | ||||
\(579\) | 1.21897 | − | 0.326623i | 0.0506588 | − | 0.0135740i | ||||
\(580\) | −9.46168 | − | 9.46168i | −0.392875 | − | 0.392875i | ||||
\(581\) | −11.9427 | − | 27.7335i | −0.495468 | − | 1.15058i | ||||
\(582\) | −11.9683 | − | 6.90988i | −0.496101 | − | 0.286424i | ||||
\(583\) | 0.0849880 | − | 0.0849880i | 0.00351984 | − | 0.00351984i | ||||
\(584\) | 0.0781935 | − | 0.135435i | 0.00323567 | − | 0.00560435i | ||||
\(585\) | 16.7036 | − | 19.6503i | 0.690610 | − | 0.812441i | ||||
\(586\) | 31.0812 | − | 17.9447i | 1.28395 | − | 0.741290i | ||||
\(587\) | 4.43305 | + | 16.5444i | 0.182972 | + | 0.682859i | 0.995056 | + | 0.0993189i | \(0.0316664\pi\) |
−0.812084 | + | 0.583540i | \(0.801667\pi\) | |||||||
\(588\) | −6.47653 | + | 27.1770i | −0.267088 | + | 1.12076i | ||||
\(589\) | −24.6279 | + | 14.2189i | −1.01477 | + | 0.585880i | ||||
\(590\) | −3.60300 | + | 13.4466i | −0.148333 | + | 0.553587i | ||||
\(591\) | −42.6517 | + | 42.6517i | −1.75446 | + | 1.75446i | ||||
\(592\) | −13.8488 | + | 13.8488i | −0.569184 | + | 0.569184i | ||||
\(593\) | −5.30494 | + | 19.7983i | −0.217848 | + | 0.813019i | 0.767297 | + | 0.641292i | \(0.221601\pi\) |
−0.985145 | + | 0.171727i | \(0.945065\pi\) | |||||||
\(594\) | −2.12649 | + | 1.22773i | −0.0872511 | + | 0.0503745i | ||||
\(595\) | 0.481614 | − | 0.646086i | 0.0197442 | − | 0.0264869i | ||||
\(596\) | 0.145004 | + | 0.541161i | 0.00593958 | + | 0.0221668i | ||||
\(597\) | −46.3195 | + | 26.7426i | −1.89573 | + | 1.09450i | ||||
\(598\) | 2.08694 | − | 2.45510i | 0.0853414 | − | 0.100397i | ||||
\(599\) | 19.5672 | − | 33.8914i | 0.799494 | − | 1.38476i | −0.120452 | − | 0.992719i | \(-0.538434\pi\) |
0.919946 | − | 0.392045i | \(-0.128232\pi\) | |||||||
\(600\) | 10.3796 | − | 10.3796i | 0.423746 | − | 0.423746i | ||||
\(601\) | −29.2750 | − | 16.9020i | −1.19415 | − | 0.689445i | −0.234908 | − | 0.972018i | \(-0.575479\pi\) |
−0.959246 | + | 0.282573i | \(0.908812\pi\) | |||||||
\(602\) | −28.0132 | + | 37.5798i | −1.14173 | + | 1.53164i | ||||
\(603\) | 5.55843 | + | 5.55843i | 0.226357 | + | 0.226357i | ||||
\(604\) | −4.45502 | + | 1.19372i | −0.181272 | + | 0.0485718i | ||||
\(605\) | −8.64682 | − | 8.64682i | −0.351543 | − | 0.351543i | ||||
\(606\) | −2.43712 | − | 9.09545i | −0.0990012 | − | 0.369478i | ||||
\(607\) | −25.0478 | − | 14.4613i | −1.01666 | − | 0.586968i | −0.103524 | − | 0.994627i | \(-0.533012\pi\) |
−0.913134 | + | 0.407659i | \(0.866345\pi\) | |||||||
\(608\) | 12.6548 | − | 21.9187i | 0.513218 | − | 0.888920i | ||||
\(609\) | 69.7659 | + | 27.7661i | 2.82706 | + | 1.12514i | ||||
\(610\) | 15.7506i | 0.637725i | ||||||||
\(611\) | −3.80168 | + | 20.7833i | −0.153800 | + | 0.840801i | ||||
\(612\) | −1.97887 | − | 1.14250i | −0.0799910 | − | 0.0461829i | ||||
\(613\) | −4.75410 | + | 17.7425i | −0.192016 | + | 0.716614i | 0.801003 | + | 0.598660i | \(0.204300\pi\) |
−0.993019 | + | 0.117954i | \(0.962367\pi\) | |||||||
\(614\) | − | 17.9397i | − | 0.723986i | ||||||
\(615\) | 15.2859 | + | 26.4759i | 0.616387 | + | 1.06761i | ||||
\(616\) | 0.0624182 | + | 0.427969i | 0.00251490 | + | 0.0172434i | ||||
\(617\) | −3.13670 | + | 11.7063i | −0.126279 | + | 0.471279i | −0.999882 | − | 0.0153601i | \(-0.995111\pi\) |
0.873603 | + | 0.486639i | \(0.161777\pi\) | |||||||
\(618\) | 12.6576 | + | 47.2388i | 0.509163 | + | 1.90022i | ||||
\(619\) | 23.3947 | − | 6.26859i | 0.940312 | − | 0.251956i | 0.244065 | − | 0.969759i | \(-0.421519\pi\) |
0.696246 | + | 0.717803i | \(0.254852\pi\) | |||||||
\(620\) | 10.3702 | 0.416476 | ||||||||
\(621\) | 5.17234 | 0.207559 | ||||||||
\(622\) | 46.4247 | − | 12.4395i | 1.86146 | − | 0.498777i | ||||
\(623\) | −10.2901 | + | 4.43118i | −0.412265 | + | 0.177532i | ||||
\(624\) | −44.7176 | + | 30.8878i | −1.79014 | + | 1.23650i | ||||
\(625\) | 3.97162 | + | 6.87905i | 0.158865 | + | 0.275162i | ||||
\(626\) | 20.7420 | + | 5.55781i | 0.829019 | + | 0.222135i | ||||
\(627\) | 0.783288 | + | 1.35669i | 0.0312815 | + | 0.0541812i | ||||
\(628\) | −2.43879 | + | 4.22410i | −0.0973182 | + | 0.168560i | ||||
\(629\) | 0.771620 | − | 0.771620i | 0.0307665 | − | 0.0307665i | ||||
\(630\) | −12.7128 | + | 31.9425i | −0.506489 | + | 1.27262i | ||||
\(631\) | −7.36652 | − | 1.97385i | −0.293256 | − | 0.0785778i | 0.109191 | − | 0.994021i | \(-0.465174\pi\) |
−0.402448 | + | 0.915443i | \(0.631841\pi\) | |||||||
\(632\) | −14.0686 | − | 3.76966i | −0.559618 | − | 0.149949i | ||||
\(633\) | 47.2628i | 1.87853i | ||||||||
\(634\) | 5.74664 | − | 3.31783i | 0.228228 | − | 0.131768i | ||||
\(635\) | −1.37545 | − | 1.37545i | −0.0545833 | − | 0.0545833i | ||||
\(636\) | −3.73129 | −0.147955 | ||||||||
\(637\) | −19.6779 | − | 15.8045i | −0.779665 | − | 0.626197i | ||||
\(638\) | −2.15904 | −0.0854772 | ||||||||
\(639\) | 13.9358 | + | 13.9358i | 0.551293 | + | 0.551293i | ||||
\(640\) | 9.20724 | − | 5.31580i | 0.363948 | − | 0.210125i | ||||
\(641\) | − | 26.5132i | − | 1.04721i | −0.851962 | − | 0.523603i | \(-0.824587\pi\) | ||
0.851962 | − | 0.523603i | \(-0.175413\pi\) | |||||||
\(642\) | 14.5331 | + | 3.89414i | 0.573577 | + | 0.153689i | ||||
\(643\) | 11.1885 | + | 2.99795i | 0.441231 | + | 0.118228i | 0.472593 | − | 0.881281i | \(-0.343318\pi\) |
−0.0313623 | + | 0.999508i | \(0.509985\pi\) | |||||||
\(644\) | −0.625722 | + | 1.57221i | −0.0246569 | + | 0.0619536i | ||||
\(645\) | −23.5697 | + | 23.5697i | −0.928057 | + | 0.928057i | ||||
\(646\) | −0.986290 | + | 1.70830i | −0.0388050 | + | 0.0672123i | ||||
\(647\) | 19.2967 | + | 33.4228i | 0.758631 | + | 1.31399i | 0.943549 | + | 0.331233i | \(0.107465\pi\) |
−0.184918 | + | 0.982754i | \(0.559202\pi\) | |||||||
\(648\) | −15.9701 | − | 4.27919i | −0.627367 | − | 0.168102i | ||||
\(649\) | 0.442443 | + | 0.766333i | 0.0173674 | + | 0.0300812i | ||||
\(650\) | −8.27611 | − | 23.1984i | −0.324616 | − | 0.909916i | ||||
\(651\) | −53.4484 | + | 23.0163i | −2.09481 | + | 0.902078i | ||||
\(652\) | −8.45516 | + | 2.26555i | −0.331129 | + | 0.0887259i | ||||
\(653\) | 26.0323 | 1.01872 | 0.509361 | − | 0.860553i | \(-0.329882\pi\) | ||||
0.509361 | + | 0.860553i | \(0.329882\pi\) | |||||||
\(654\) | 51.8276 | 2.02662 | ||||||||
\(655\) | −6.39449 | + | 1.71340i | −0.249853 | + | 0.0669480i | ||||
\(656\) | −11.3666 | − | 42.4206i | −0.443790 | − | 1.65625i | ||||
\(657\) | 0.204517 | − | 0.763269i | 0.00797898 | − | 0.0297780i | ||||
\(658\) | −4.06469 | − | 27.8694i | −0.158458 | − | 1.08646i | ||||
\(659\) | 24.8221 | + | 42.9932i | 0.966933 | + | 1.67478i | 0.704328 | + | 0.709874i | \(0.251248\pi\) |
0.262605 | + | 0.964903i | \(0.415418\pi\) | |||||||
\(660\) | − | 0.571270i | − | 0.0222366i | ||||||
\(661\) | 3.13750 | − | 11.7093i | 0.122034 | − | 0.455439i | −0.877682 | − | 0.479243i | \(-0.840911\pi\) |
0.999717 | + | 0.0238044i | \(0.00757790\pi\) | |||||||
\(662\) | −13.5501 | − | 7.82313i | −0.526638 | − | 0.304055i | ||||
\(663\) | 2.49154 | − | 1.72098i | 0.0967634 | − | 0.0668375i | ||||
\(664\) | 14.5116i | 0.563161i | ||||||||
\(665\) | 10.8632 | + | 4.32344i | 0.421257 | + | 0.167656i | ||||
\(666\) | −23.2775 | + | 40.3178i | −0.901984 | + | 1.56228i | ||||
\(667\) | 3.93862 | + | 2.27397i | 0.152504 | + | 0.0880483i | ||||
\(668\) | −3.95594 | − | 14.7638i | −0.153060 | − | 0.571227i | ||||
\(669\) | −30.1236 | − | 30.1236i | −1.16465 | − | 1.16465i | ||||
\(670\) | −2.39028 | + | 0.640474i | −0.0923446 | + | 0.0247437i | ||||
\(671\) | 0.707950 | + | 0.707950i | 0.0273301 | + | 0.0273301i | ||||
\(672\) | 30.9536 | − | 41.5244i | 1.19406 | − | 1.60184i | ||||
\(673\) | 34.6870 | + | 20.0265i | 1.33708 | + | 0.771966i | 0.986374 | − | 0.164519i | \(-0.0526070\pi\) |
0.350710 | + | 0.936484i | \(0.385940\pi\) | |||||||
\(674\) | −33.8380 | + | 33.8380i | −1.30339 | + | 1.30339i | ||||
\(675\) | 19.7684 | − | 34.2398i | 0.760885 | − | 1.31789i | ||||
\(676\) | 2.72194 | + | 16.6801i | 0.104690 | + | 0.641544i | ||||
\(677\) | 33.3532 | − | 19.2565i | 1.28187 | − | 0.740086i | 0.304678 | − | 0.952455i | \(-0.401451\pi\) |
0.977190 | + | 0.212369i | \(0.0681179\pi\) | |||||||
\(678\) | 5.00780 | + | 18.6894i | 0.192323 | + | 0.717760i | ||||
\(679\) | −3.91836 | + | 5.25649i | −0.150373 | + | 0.201725i | ||||
\(680\) | −0.335392 | + | 0.193639i | −0.0128617 | + | 0.00742570i | ||||
\(681\) | 9.49116 | − | 35.4215i | 0.363702 | − | 1.35735i | ||||
\(682\) | 1.18317 | − | 1.18317i | 0.0453061 | − | 0.0453061i | ||||
\(683\) | −26.9693 | + | 26.9693i | −1.03195 | + | 1.03195i | −0.0324804 | + | 0.999472i | \(0.510341\pi\) |
−0.999472 | + | 0.0324804i | \(0.989659\pi\) | |||||||
\(684\) | 8.58064 | − | 32.0234i | 0.328089 | − | 1.22445i | ||||
\(685\) | −18.9389 | + | 10.9344i | −0.723617 | + | 0.417780i | ||||
\(686\) | 31.5937 | + | 11.5655i | 1.20625 | + | 0.441573i | ||||
\(687\) | −19.5220 | − | 72.8571i | −0.744810 | − | 2.77967i | ||||
\(688\) | 41.4679 | − | 23.9415i | 1.58095 | − | 0.912761i | ||||
\(689\) | 1.44404 | − | 3.04582i | 0.0550137 | − | 0.116036i | ||||
\(690\) | −1.52729 | + | 2.64535i | −0.0581431 | + | 0.100707i | ||||
\(691\) | 4.16816 | − | 4.16816i | 0.158564 | − | 0.158564i | −0.623366 | − | 0.781930i | \(-0.714235\pi\) |
0.781930 | + | 0.623366i | \(0.214235\pi\) | |||||||
\(692\) | −18.1725 | − | 10.4919i | −0.690816 | − | 0.398843i | ||||
\(693\) | 0.864323 | + | 2.00713i | 0.0328329 | + | 0.0762447i | ||||
\(694\) | 6.71396 | + | 6.71396i | 0.254858 | + | 0.254858i | ||||
\(695\) | 5.96728 | − | 1.59893i | 0.226352 | − | 0.0606508i | ||||
\(696\) | −25.5170 | − | 25.5170i | −0.967220 | − | 0.967220i | ||||
\(697\) | 0.633314 | + | 2.36356i | 0.0239885 | + | 0.0895262i | ||||
\(698\) | −18.2532 | − | 10.5385i | −0.690894 | − | 0.398888i | ||||
\(699\) | −27.2814 | + | 47.2528i | −1.03188 | + | 1.78727i | ||||
\(700\) | 8.01621 | + | 10.1510i | 0.302984 | + | 0.383673i | ||||
\(701\) | − | 39.7256i | − | 1.50041i | −0.661203 | − | 0.750207i | \(-0.729954\pi\) | ||
0.661203 | − | 0.750207i | \(-0.270046\pi\) | |||||||
\(702\) | −44.6011 | + | 52.4693i | −1.68336 | + | 1.98032i | ||||
\(703\) | 13.7115 | + | 7.91636i | 0.517140 | + | 0.298571i | ||||
\(704\) | −0.0586809 | + | 0.219000i | −0.00221162 | + | 0.00825388i | ||||
\(705\) | − | 20.0288i | − | 0.754329i | ||||||
\(706\) | 7.84109 | + | 13.5812i | 0.295103 | + | 0.511134i | ||||
\(707\) | −4.42042 | + | 0.644707i | −0.166247 | + | 0.0242467i | ||||
\(708\) | 7.11000 | − | 26.5349i | 0.267210 | − | 0.997241i | ||||
\(709\) | 0.109951 | + | 0.410342i | 0.00412929 | + | 0.0154107i | 0.967960 | − | 0.251105i | \(-0.0807941\pi\) |
−0.963830 | + | 0.266516i | \(0.914127\pi\) | |||||||
\(710\) | −5.99280 | + | 1.60577i | −0.224906 | + | 0.0602633i | ||||
\(711\) | −73.5935 | −2.75997 | ||||||||
\(712\) | 5.38434 | 0.201787 | ||||||||
\(713\) | −3.40455 | + | 0.912248i | −0.127502 | + | 0.0341639i | ||||
\(714\) | −2.41247 | + | 3.23634i | −0.0902845 | + | 0.121117i | ||||
\(715\) | 0.466323 | + | 0.221087i | 0.0174395 | + | 0.00826818i | ||||
\(716\) | 5.97753 | + | 10.3534i | 0.223391 | + | 0.386924i | ||||
\(717\) | −71.5355 | − | 19.1679i | −2.67154 | − | 0.715837i | ||||
\(718\) | 28.2019 | + | 48.8471i | 1.05248 | + | 1.82296i | ||||
\(719\) | −2.75054 | + | 4.76407i | −0.102578 | + | 0.177670i | −0.912746 | − | 0.408528i | \(-0.866042\pi\) |
0.810168 | + | 0.586197i | \(0.199376\pi\) | |||||||
\(720\) | 24.8342 | − | 24.8342i | 0.925516 | − | 0.925516i | ||||
\(721\) | 22.9582 | − | 3.34840i | 0.855009 | − | 0.124701i | ||||
\(722\) | 5.69451 | + | 1.52584i | 0.211928 | + | 0.0567859i | ||||
\(723\) | −30.7682 | − | 8.24432i | −1.14428 | − | 0.306610i | ||||
\(724\) | 19.0448i | 0.707796i | ||||||||
\(725\) | 30.1064 | − | 17.3819i | 1.11812 | − | 0.645549i | ||||
\(726\) | 43.3132 | + | 43.3132i | 1.60750 | + | 1.60750i | ||||
\(727\) | 10.8373 | 0.401935 | 0.200967 | − | 0.979598i | \(-0.435591\pi\) | ||||
0.200967 | + | 0.979598i | \(0.435591\pi\) | |||||||
\(728\) | 5.68173 | + | 10.7165i | 0.210579 | + | 0.397178i | ||||
\(729\) | 13.2908 | 0.492253 | ||||||||
\(730\) | 0.175896 | + | 0.175896i | 0.00651021 | + | 0.00651021i | ||||
\(731\) | −2.31048 | + | 1.33395i | −0.0854561 | + | 0.0493381i | ||||
\(732\) | − | 31.0816i | − | 1.14881i | ||||||
\(733\) | 29.0463 | + | 7.78294i | 1.07285 | + | 0.287469i | 0.751664 | − | 0.659547i | \(-0.229252\pi\) |
0.321187 | + | 0.947016i | \(0.395918\pi\) | |||||||
\(734\) | −4.59604 | − | 1.23150i | −0.169643 | − | 0.0454557i | ||||
\(735\) | 21.0454 | + | 11.3811i | 0.776270 | + | 0.419800i | ||||
\(736\) | 2.21814 | − | 2.21814i | 0.0817617 | − | 0.0817617i | ||||
\(737\) | −0.0786492 | + | 0.136224i | −0.00289708 | + | 0.00501789i | ||||
\(738\) | −52.1964 | − | 90.4068i | −1.92138 | − | 3.32792i | ||||
\(739\) | −43.9327 | − | 11.7717i | −1.61609 | − | 0.433030i | −0.666241 | − | 0.745737i | \(-0.732098\pi\) |
−0.949850 | + | 0.312707i | \(0.898764\pi\) | |||||||
\(740\) | −2.88679 | − | 5.00007i | −0.106121 | − | 0.183806i | ||||
\(741\) | 33.4752 | + | 28.4553i | 1.22974 | + | 1.04533i | ||||
\(742\) | −0.524403 | + | 4.46265i | −0.0192515 | + | 0.163829i | ||||
\(743\) | −43.4013 | + | 11.6293i | −1.59224 | + | 0.426639i | −0.942687 | − | 0.333678i | \(-0.891710\pi\) |
−0.649552 | + | 0.760317i | \(0.725044\pi\) | |||||||
\(744\) | 27.9671 | 1.02532 | ||||||||
\(745\) | 0.479790 | 0.0175782 | ||||||||
\(746\) | −62.8822 | + | 16.8492i | −2.30228 | + | 0.616894i | ||||
\(747\) | 18.9778 | + | 70.8261i | 0.694361 | + | 2.59139i | ||||
\(748\) | 0.0118342 | − | 0.0441659i | 0.000432702 | − | 0.00161486i | ||||
\(749\) | 2.63944 | − | 6.63194i | 0.0964432 | − | 0.242326i | ||||
\(750\) | 27.1972 | + | 47.1069i | 0.993100 | + | 1.72010i | ||||
\(751\) | − | 16.7889i | − | 0.612636i | −0.951929 | − | 0.306318i | \(-0.900903\pi\) | ||
0.951929 | − | 0.306318i | \(-0.0990971\pi\) | |||||||
\(752\) | −7.44669 | + | 27.7914i | −0.271553 | + | 1.01345i | ||||
\(753\) | 24.2576 | + | 14.0052i | 0.883997 | + | 0.510376i | ||||
\(754\) | −57.0304 | + | 20.3458i | −2.07692 | + | 0.740950i | ||||
\(755\) | 3.94980i | 0.143748i | ||||||||
\(756\) | 13.3726 | − | 33.6004i | 0.486358 | − | 1.22204i | ||||
\(757\) | 7.76400 | − | 13.4476i | 0.282187 | − | 0.488763i | −0.689736 | − | 0.724061i | \(-0.742273\pi\) |
0.971923 | + | 0.235298i | \(0.0756067\pi\) | |||||||
\(758\) | −36.2652 | − | 20.9377i | −1.31721 | − | 0.760493i | ||||
\(759\) | 0.0502537 | + | 0.187549i | 0.00182409 | + | 0.00680761i | ||||
\(760\) | −3.97324 | − | 3.97324i | −0.144124 | − | 0.144124i | ||||
\(761\) | −38.7077 | + | 10.3717i | −1.40315 | + | 0.375974i | −0.879477 | − | 0.475942i | \(-0.842107\pi\) |
−0.523678 | + | 0.851916i | \(0.675441\pi\) | |||||||
\(762\) | 6.88985 | + | 6.88985i | 0.249593 | + | 0.249593i | ||||
\(763\) | 2.86952 | − | 24.4195i | 0.103884 | − | 0.884045i | ||||
\(764\) | −6.79206 | − | 3.92140i | −0.245728 | − | 0.141871i | ||||
\(765\) | −1.38369 | + | 1.38369i | −0.0500276 | + | 0.0500276i | ||||
\(766\) | −11.8520 | + | 20.5283i | −0.428230 | + | 0.741716i | ||||
\(767\) | 18.9086 | + | 16.0731i | 0.682748 | + | 0.580365i | ||||
\(768\) | −55.4978 | + | 32.0417i | −2.00260 | + | 1.15620i | ||||
\(769\) | −12.5630 | − | 46.8857i | −0.453033 | − | 1.69074i | −0.693807 | − | 0.720161i | \(-0.744068\pi\) |
0.240774 | − | 0.970581i | \(-0.422599\pi\) | |||||||
\(770\) | −0.683243 | − | 0.0802876i | −0.0246224 | − | 0.00289336i | ||||
\(771\) | 81.6636 | − | 47.1485i | 2.94104 | − | 1.69801i | ||||
\(772\) | 0.138317 | − | 0.516206i | 0.00497813 | − | 0.0185786i | ||||
\(773\) | 33.2811 | − | 33.2811i | 1.19704 | − | 1.19704i | 0.221987 | − | 0.975050i | \(-0.428746\pi\) |
0.975050 | − | 0.221987i | \(-0.0712544\pi\) | |||||||
\(774\) | 80.4829 | − | 80.4829i | 2.89290 | − | 2.89290i | ||||
\(775\) | −6.97312 | + | 26.0240i | −0.250482 | + | 0.934811i | ||||
\(776\) | 2.72871 | − | 1.57542i | 0.0979551 | − | 0.0565544i | ||||
\(777\) | 25.9762 | + | 19.3635i | 0.931889 | + | 0.694661i | ||||
\(778\) | 11.6691 | + | 43.5498i | 0.418359 | + | 1.56134i | ||||
\(779\) | −30.7461 | + | 17.7513i | −1.10159 | + | 0.636006i | ||||
\(780\) | −5.38338 | − | 15.0899i | −0.192756 | − | 0.540306i | ||||
\(781\) | −0.197185 | + | 0.341535i | −0.00705585 | + | 0.0122211i | ||||
\(782\) | −0.172878 | + | 0.172878i | −0.00618210 | + | 0.00618210i | ||||
\(783\) | −84.1744 | − | 48.5981i | −3.00815 | − | 1.73675i | ||||
\(784\) | −24.9705 | − | 23.6168i | −0.891803 | − | 0.843458i | ||||
\(785\) | 2.95364 | + | 2.95364i | 0.105420 | + | 0.105420i | ||||
\(786\) | 32.0309 | − | 8.58266i | 1.14250 | − | 0.306133i | ||||
\(787\) | 19.6291 | + | 19.6291i | 0.699701 | + | 0.699701i | 0.964346 | − | 0.264645i | \(-0.0852547\pi\) |
−0.264645 | + | 0.964346i | \(0.585255\pi\) | |||||||
\(788\) | 6.61113 | + | 24.6731i | 0.235512 | + | 0.878942i | ||||
\(789\) | 14.7471 | + | 8.51423i | 0.525010 | + | 0.303115i | ||||
\(790\) | 11.5837 | − | 20.0635i | 0.412129 | − | 0.713829i | ||||
\(791\) | 9.08309 | − | 1.32475i | 0.322957 | − | 0.0471025i | ||||
\(792\) | − | 1.05024i | − | 0.0373187i | ||||||
\(793\) | 25.3717 | + | 12.0289i | 0.900974 | + | 0.427158i | ||||
\(794\) | 15.2196 | + | 8.78706i | 0.540125 | + | 0.311841i | ||||
\(795\) | −0.827034 | + | 3.08653i | −0.0293319 | + | 0.109468i | ||||
\(796\) | 22.6497i | 0.802797i | ||||||||
\(797\) | −12.9913 | − | 22.5016i | −0.460177 | − | 0.797049i | 0.538793 | − | 0.842438i | \(-0.318881\pi\) |
−0.998969 | + | 0.0453891i | \(0.985547\pi\) | |||||||
\(798\) | −54.4153 | − | 21.6568i | −1.92628 | − | 0.766641i | ||||
\(799\) | 0.414909 | − | 1.54846i | 0.0146784 | − | 0.0547807i | ||||
\(800\) | −6.20604 | − | 23.1613i | −0.219417 | − | 0.818874i | ||||
\(801\) | 26.2790 | − | 7.04145i | 0.928524 | − | 0.248797i | ||||
\(802\) | −12.7227 | −0.449253 | ||||||||
\(803\) | 0.0158121 | 0.000557998 | ||||||||
\(804\) | 4.71687 | − | 1.26388i | 0.166351 | − | 0.0445737i | ||||
\(805\) | 1.16184 | + | 0.866077i | 0.0409496 | + | 0.0305252i | ||||
\(806\) | 20.1035 | − | 42.4028i | 0.708115 | − | 1.49358i | ||||
\(807\) | −8.36698 | − | 14.4920i | −0.294532 | − | 0.510144i | ||||
\(808\) | 2.07372 | + | 0.555653i | 0.0729534 | + | 0.0195478i | ||||
\(809\) | 15.0480 | + | 26.0639i | 0.529060 | + | 0.916359i | 0.999426 | + | 0.0338872i | \(0.0107887\pi\) |
−0.470366 | + | 0.882472i | \(0.655878\pi\) | |||||||
\(810\) | 13.1494 | − | 22.7754i | 0.462023 | − | 0.800247i | ||||
\(811\) | −25.5228 | + | 25.5228i | −0.896227 | + | 0.896227i | −0.995100 | − | 0.0988731i | \(-0.968476\pi\) |
0.0988731 | + | 0.995100i | \(0.468476\pi\) | |||||||
\(812\) | 24.9551 | − | 19.7069i | 0.875751 | − | 0.691576i | ||||
\(813\) | 31.7137 | + | 8.49766i | 1.11225 | + | 0.298026i | ||||
\(814\) | −0.899842 | − | 0.241112i | −0.0315395 | − | 0.00845097i | ||||
\(815\) | 7.49629i | 0.262584i | ||||||||
\(816\) | 3.57118 | − | 2.06182i | 0.125016 | − | 0.0721782i | ||||
\(817\) | −27.3712 | − | 27.3712i | −0.957596 | − | 0.957596i | ||||
\(818\) | 27.6194 | 0.965691 | ||||||||
\(819\) | 41.7451 | + | 44.8728i | 1.45869 | + | 1.56798i | ||||
\(820\) | 12.9464 | 0.452108 | ||||||||
\(821\) | −34.1562 | − | 34.1562i | −1.19206 | − | 1.19206i | −0.976488 | − | 0.215573i | \(-0.930838\pi\) |
−0.215573 | − | 0.976488i | \(-0.569162\pi\) | |||||||
\(822\) | 94.8675 | − | 54.7718i | 3.30888 | − | 1.91038i | ||||
\(823\) | 21.5128i | 0.749890i | 0.927047 | + | 0.374945i | \(0.122338\pi\) | ||||
−0.927047 | + | 0.374945i | \(0.877662\pi\) | |||||||
\(824\) | −10.7702 | − | 2.88588i | −0.375199 | − | 0.100534i | ||||
\(825\) | 1.43361 | + | 0.384134i | 0.0499118 | + | 0.0133738i | ||||
\(826\) | −30.7367 | − | 12.2329i | −1.06947 | − | 0.425637i | ||||
\(827\) | −19.3309 | + | 19.3309i | −0.672200 | + | 0.672200i | −0.958223 | − | 0.286023i | \(-0.907667\pi\) |
0.286023 | + | 0.958223i | \(0.407667\pi\) | |||||||
\(828\) | 2.05454 | − | 3.55856i | 0.0714001 | − | 0.123669i | ||||
\(829\) | −0.800615 | − | 1.38671i | −0.0278065 | − | 0.0481623i | 0.851787 | − | 0.523888i | \(-0.175519\pi\) |
−0.879594 | + | 0.475726i | \(0.842186\pi\) | |||||||
\(830\) | −22.2962 | − | 5.97425i | −0.773913 | − | 0.207369i | ||||
\(831\) | 37.6856 | + | 65.2733i | 1.30730 | + | 2.26431i | ||||
\(832\) | 0.513717 | + | 6.33780i | 0.0178099 | + | 0.219724i | ||||
\(833\) | 1.39129 | + | 1.31586i | 0.0482053 | + | 0.0455920i | ||||
\(834\) | −29.8910 | + | 8.00926i | −1.03504 | + | 0.277338i | ||||
\(835\) | −13.0895 | −0.452979 | ||||||||
\(836\) | 0.663407 | 0.0229444 | ||||||||
\(837\) | 72.7605 | − | 19.4961i | 2.51497 | − | 0.673885i | ||||
\(838\) | 11.6419 | + | 43.4480i | 0.402161 | + | 1.50089i | ||||
\(839\) | −0.167923 | + | 0.626698i | −0.00579736 | + | 0.0216360i | −0.968764 | − | 0.247985i | \(-0.920232\pi\) |
0.962967 | + | 0.269621i | \(0.0868984\pi\) | |||||||
\(840\) | −7.12614 | − | 9.02393i | −0.245875 | − | 0.311355i | ||||
\(841\) | −28.2313 | − | 48.8981i | −0.973495 | − | 1.68614i | ||||
\(842\) | − | 10.5608i | − | 0.363951i | ||||||
\(843\) | −9.74167 | + | 36.3564i | −0.335521 | + | 1.25218i | ||||
\(844\) | 17.3332 | + | 10.0073i | 0.596634 | + | 0.344467i | ||||
\(845\) | 14.4012 | + | 1.44553i | 0.495416 | + | 0.0497279i | ||||
\(846\) | 68.3919i | 2.35136i | ||||||||
\(847\) | 22.8059 | − | 18.0097i | 0.783619 | − | 0.618820i | ||||
\(848\) | 2.29514 | − | 3.97530i | 0.0788154 | − | 0.136512i | ||||
\(849\) | −7.53843 | − | 4.35232i | −0.258718 | − | 0.149371i | ||||
\(850\) | 0.483688 | + | 1.80515i | 0.0165904 | + | 0.0619161i | ||||
\(851\) | 1.38759 | + | 1.38759i | 0.0475659 | + | 0.0475659i | ||||
\(852\) | 11.8259 | − | 3.16874i | 0.405149 | − | 0.108559i | ||||
\(853\) | −19.5375 | − | 19.5375i | −0.668953 | − | 0.668953i | 0.288521 | − | 0.957474i | \(-0.406837\pi\) |
−0.957474 | + | 0.288521i | \(0.906837\pi\) | |||||||
\(854\) | −37.1739 | − | 4.36828i | −1.27206 | − | 0.149479i | ||||
\(855\) | −24.5880 | − | 14.1959i | −0.840891 | − | 0.485489i | ||||
\(856\) | −2.42564 | + | 2.42564i | −0.0829068 | + | 0.0829068i | ||||
\(857\) | 16.1513 | − | 27.9748i | 0.551717 | − | 0.955602i | −0.446434 | − | 0.894817i | \(-0.647306\pi\) |
0.998151 | − | 0.0607851i | \(-0.0193604\pi\) | |||||||
\(858\) | −2.33588 | − | 1.10746i | −0.0797456 | − | 0.0378079i | ||||
\(859\) | 25.7564 | − | 14.8704i | 0.878796 | − | 0.507373i | 0.00853452 | − | 0.999964i | \(-0.497283\pi\) |
0.870261 | + | 0.492591i | \(0.163950\pi\) | |||||||
\(860\) | 3.65337 | + | 13.6346i | 0.124579 | + | 0.464935i | ||||
\(861\) | −66.7265 | + | 28.7341i | −2.27403 | + | 0.979257i | ||||
\(862\) | −30.4140 | + | 17.5595i | −1.03590 | + | 0.598079i | ||||
\(863\) | 8.22555 | − | 30.6982i | 0.280001 | − | 1.04498i | −0.672414 | − | 0.740175i | \(-0.734743\pi\) |
0.952415 | − | 0.304803i | \(-0.0985907\pi\) | |||||||
\(864\) | −47.4050 | + | 47.4050i | −1.61275 | + | 1.61275i | ||||
\(865\) | −12.7069 | + | 12.7069i | −0.432046 | + | 0.432046i | ||||
\(866\) | −1.04040 | + | 3.88281i | −0.0353541 | + | 0.131943i | ||||
\(867\) | 44.9985 | − | 25.9799i | 1.52823 | − | 0.882323i | ||||
\(868\) | −2.87606 | + | 24.4751i | −0.0976199 | + | 0.830740i | ||||
\(869\) | −0.381147 | − | 1.42246i | −0.0129295 | − | 0.0482536i | ||||
\(870\) | 49.7103 | − | 28.7002i | 1.68534 | − | 0.973029i | ||||
\(871\) | −0.793778 | + | 4.33948i | −0.0268962 | + | 0.147038i | ||||
\(872\) | −5.90823 | + | 10.2334i | −0.200078 | + | 0.346545i | ||||
\(873\) | 11.2576 | − | 11.2576i | 0.381012 | − | 0.381012i | ||||
\(874\) | −3.07201 | − | 1.77363i | −0.103912 | − | 0.0599938i | ||||
\(875\) | 23.7011 | − | 10.2063i | 0.801242 | − | 0.345035i | ||||
\(876\) | −0.347106 | − | 0.347106i | −0.0117276 | − | 0.0117276i | ||||
\(877\) | −15.7460 | + | 4.21914i | −0.531706 | + | 0.142470i | −0.514676 | − | 0.857385i | \(-0.672088\pi\) |
−0.0170302 | + | 0.999855i | \(0.505421\pi\) | |||||||
\(878\) | 9.43194 | + | 9.43194i | 0.318313 | + | 0.318313i | ||||
\(879\) | 15.6977 | + | 58.5847i | 0.529471 | + | 1.97601i | ||||
\(880\) | 0.608629 | + | 0.351392i | 0.0205169 | + | 0.0118454i | ||||
\(881\) | −24.6284 | + | 42.6577i | −0.829752 | + | 1.43717i | 0.0684801 | + | 0.997652i | \(0.478185\pi\) |
−0.898232 | + | 0.439521i | \(0.855148\pi\) | |||||||
\(882\) | −71.8632 | − | 38.8629i | −2.41976 | − | 1.30858i | ||||
\(883\) | 40.1403i | 1.35083i | 0.737439 | + | 0.675414i | \(0.236035\pi\) | ||||
−0.737439 | + | 0.675414i | \(0.763965\pi\) | |||||||
\(884\) | −0.103602 | − | 1.27815i | −0.00348450 | − | 0.0429888i | ||||
\(885\) | −20.3738 | − | 11.7628i | −0.684858 | − | 0.395403i | ||||
\(886\) | 12.4997 | − | 46.6493i | 0.419934 | − | 1.56721i | ||||
\(887\) | − | 44.3159i | − | 1.48798i | −0.668189 | − | 0.743992i | \(-0.732930\pi\) | ||
0.668189 | − | 0.743992i | \(-0.267070\pi\) | |||||||
\(888\) | −7.78532 | − | 13.4846i | −0.261258 | − | 0.452513i | ||||
\(889\) | 3.62774 | − | 2.86481i | 0.121671 | − | 0.0960826i | ||||
\(890\) | −2.21666 | + | 8.27270i | −0.0743027 | + | 0.277301i | ||||
\(891\) | −0.432664 | − | 1.61473i | −0.0144948 | − | 0.0540953i | ||||
\(892\) | −17.4259 | + | 4.66925i | −0.583462 | + | 0.156338i | ||||
\(893\) | 23.2592 | 0.778339 | ||||||||
\(894\) | −2.40334 | −0.0803797 | ||||||||
\(895\) | 9.88927 | − | 2.64982i | 0.330562 | − | 0.0885738i | ||||
\(896\) | 9.99254 | + | 23.2047i | 0.333827 | + | 0.775215i | ||||
\(897\) | 3.09481 | + | 4.48049i | 0.103333 | + | 0.149599i | ||||
\(898\) | −20.3132 | − | 35.1836i | −0.677862 | − | 1.17409i | ||||
\(899\) | 63.9769 | + | 17.1426i | 2.13375 | + | 0.571736i | ||||
\(900\) | −15.7046 | − | 27.2012i | −0.523488 | − | 0.906708i | ||||
\(901\) | −0.127879 | + | 0.221493i | −0.00426027 | + | 0.00737900i | ||||
\(902\) | 1.47711 | − | 1.47711i | 0.0491823 | − | 0.0491823i | ||||
\(903\) | −49.0912 | − | 62.1648i | −1.63365 | − | 2.06872i | ||||
\(904\) | −4.26109 | − | 1.14176i | −0.141722 | − | 0.0379742i | ||||
\(905\) | 15.7540 | + | 4.22126i | 0.523679 | + | 0.140319i | ||||
\(906\) | − | 19.7851i | − | 0.657316i | ||||||
\(907\) | 46.9022 | − | 27.0790i | 1.55736 | − | 0.899143i | 0.559854 | − | 0.828591i | \(-0.310857\pi\) |
0.997508 | − | 0.0705521i | \(-0.0224761\pi\) | |||||||
\(908\) | −10.9809 | − | 10.9809i | −0.364413 | − | 0.364413i | ||||
\(909\) | 10.8478 | 0.359798 | ||||||||
\(910\) | −18.8043 | + | 4.31780i | −0.623355 | + | 0.143134i | ||||
\(911\) | 5.80658 | 0.192381 | 0.0961903 | − | 0.995363i | \(-0.469334\pi\) | ||||
0.0961903 | + | 0.995363i | \(0.469334\pi\) | |||||||
\(912\) | 42.3061 | + | 42.3061i | 1.40090 | + | 1.40090i | ||||
\(913\) | −1.27068 | + | 0.733628i | −0.0420534 | + | 0.0242796i | ||||
\(914\) | 4.10835i | 0.135892i | ||||||||
\(915\) | −25.7108 | − | 6.88919i | −0.849973 | − | 0.227750i | ||||
\(916\) | −30.8532 | − | 8.26709i | −1.01942 | − | 0.273152i | ||||
\(917\) | −2.27043 | − | 15.5671i | −0.0749761 | − | 0.514072i | ||||
\(918\) | 3.69467 | − | 3.69467i | 0.121942 | − | 0.121942i | ||||
\(919\) | 9.41959 | − | 16.3152i | 0.310724 | − | 0.538189i | −0.667796 | − | 0.744345i | \(-0.732762\pi\) |
0.978519 | + | 0.206156i | \(0.0660953\pi\) | |||||||
\(920\) | −0.348217 | − | 0.603129i | −0.0114804 | − | 0.0198846i | ||||
\(921\) | 29.2841 | + | 7.84664i | 0.964943 | + | 0.258556i | ||||
\(922\) | −3.39063 | − | 5.87275i | −0.111665 | − | 0.193409i | ||||
\(923\) | −1.99012 | + | 10.8797i | −0.0655057 | + | 0.358111i | ||||
\(924\) | 1.34828 | + | 0.158436i | 0.0443552 | + | 0.00521215i | ||||
\(925\) | 14.4888 | − | 3.88227i | 0.476390 | − | 0.127648i | ||||
\(926\) | −39.9265 | −1.31207 | ||||||||
\(927\) | −56.3397 | −1.85044 | ||||||||
\(928\) | −56.9391 | + | 15.2568i | −1.86912 | + | 0.500828i | ||||
\(929\) | −7.82322 | − | 29.1966i | −0.256671 | − | 0.957911i | −0.967153 | − | 0.254195i | \(-0.918190\pi\) |
0.710482 | − | 0.703716i | \(-0.248477\pi\) | |||||||
\(930\) | −11.5137 | + | 42.9697i | −0.377549 | + | 1.40903i | ||||
\(931\) | −13.2168 | + | 24.4397i | −0.433162 | + | 0.800979i | ||||
\(932\) | 11.5530 | + | 20.0104i | 0.378432 | + | 0.655464i | ||||
\(933\) | 81.2229i | 2.65912i | ||||||||
\(934\) | 2.57234 | − | 9.60011i | 0.0841696 | − | 0.314125i | ||||
\(935\) | −0.0339111 | − | 0.0195786i | −0.00110901 | − | 0.000640289i | ||||
\(936\) | −9.89697 | − | 27.7418i | −0.323493 | − | 0.906768i | ||||
\(937\) | 29.0475i | 0.948939i | 0.880272 | + | 0.474470i | \(0.157360\pi\) | ||||
−0.880272 | + | 0.474470i | \(0.842640\pi\) | |||||||
\(938\) | −0.848693 | − | 5.81904i | −0.0277108 | − | 0.189999i | ||||
\(939\) | −18.1448 | + | 31.4277i | −0.592132 | + | 1.02560i | ||||
\(940\) | −7.34539 | − | 4.24086i | −0.239580 | − | 0.138322i | ||||
\(941\) | 13.7211 | + | 51.2078i | 0.447295 | + | 1.66933i | 0.709805 | + | 0.704398i | \(0.248783\pi\) |
−0.262510 | + | 0.964929i | \(0.584550\pi\) | |||||||
\(942\) | −14.7952 | − | 14.7952i | −0.482054 | − | 0.482054i | ||||
\(943\) | −4.25034 | + | 1.13888i | −0.138410 | + | 0.0370869i | ||||
\(944\) | 23.8967 | + | 23.8967i | 0.777773 | + | 0.777773i | ||||
\(945\) | −24.8304 | − | 18.5094i | −0.807732 | − | 0.602110i | ||||
\(946\) | 1.97245 | + | 1.13879i | 0.0641299 | + | 0.0370254i | ||||
\(947\) | 27.5374 | − | 27.5374i | 0.894846 | − | 0.894846i | −0.100128 | − | 0.994975i | \(-0.531925\pi\) |
0.994975 | + | 0.100128i | \(0.0319253\pi\) | |||||||
\(948\) | −22.8587 | + | 39.5925i | −0.742417 | + | 1.28590i | ||||
\(949\) | 0.417673 | − | 0.149006i | 0.0135582 | − | 0.00483695i | ||||
\(950\) | −23.4821 | + | 13.5574i | −0.761860 | + | 0.439860i | ||||
\(951\) | 2.90237 | + | 10.8318i | 0.0941160 | + | 0.351246i | ||||
\(952\) | −0.363998 | − | 0.845278i | −0.0117973 | − | 0.0273956i | ||||
\(953\) | −2.01127 | + | 1.16121i | −0.0651515 | + | 0.0376153i | −0.532222 | − | 0.846605i | \(-0.678643\pi\) |
0.467070 | + | 0.884220i | \(0.345309\pi\) | |||||||
\(954\) | 2.82405 | − | 10.5395i | 0.0914321 | − | 0.341229i | ||||
\(955\) | −4.74924 | + | 4.74924i | −0.153682 | + | 0.153682i | ||||
\(956\) | −22.1764 | + | 22.1764i | −0.717236 | + | 0.717236i | ||||
\(957\) | 0.944345 | − | 3.52434i | 0.0305263 | − | 0.113926i | ||||
\(958\) | 2.49461 | − | 1.44027i | 0.0805973 | − | 0.0465329i | ||||
\(959\) | −20.5542 | − | 47.7310i | −0.663730 | − | 1.54132i | ||||
\(960\) | −1.56010 | − | 5.82236i | −0.0503519 | − | 0.187916i | ||||
\(961\) | −17.6074 | + | 10.1656i | −0.567980 | + | 0.327923i | ||||
\(962\) | −26.0412 | + | 2.11079i | −0.839601 | + | 0.0680547i | ||||
\(963\) | −8.66653 | + | 15.0109i | −0.279275 | + | 0.483718i | ||||
\(964\) | −9.53833 | + | 9.53833i | −0.307209 | + | 0.307209i | ||||
\(965\) | −0.396349 | − | 0.228832i | −0.0127589 | − | 0.00736638i | ||||
\(966\) | −5.81984 | − | 4.33830i | −0.187250 | − | 0.139583i | ||||
\(967\) | −20.9764 | − | 20.9764i | −0.674557 | − | 0.674557i | 0.284206 | − | 0.958763i | \(-0.408270\pi\) |
−0.958763 | + | 0.284206i | \(0.908270\pi\) | |||||||
\(968\) | −13.4898 | + | 3.61458i | −0.433579 | + | 0.116177i | ||||
\(969\) | −2.35718 | − | 2.35718i | −0.0757236 | − | 0.0757236i | ||||
\(970\) | 1.29716 | + | 4.84107i | 0.0416494 | + | 0.155438i | ||||
\(971\) | 36.1562 | + | 20.8748i | 1.16031 | + | 0.669904i | 0.951378 | − | 0.308027i | \(-0.0996687\pi\) |
0.208930 | + | 0.977931i | \(0.433002\pi\) | |||||||
\(972\) | −5.44550 | + | 9.43189i | −0.174665 | + | 0.302528i | ||||
\(973\) | 2.11874 | + | 14.5271i | 0.0679237 | + | 0.465718i | ||||
\(974\) | 14.3258i | 0.459029i | ||||||||
\(975\) | 41.4882 | − | 3.36286i | 1.32868 | − | 0.107698i | ||||
\(976\) | 33.1142 | + | 19.1185i | 1.05996 | + | 0.611969i | ||||
\(977\) | 1.25510 | − | 4.68409i | 0.0401542 | − | 0.149857i | −0.942938 | − | 0.332968i | \(-0.891950\pi\) |
0.983092 | + | 0.183110i | \(0.0586166\pi\) | |||||||
\(978\) | − | 37.5500i | − | 1.20072i | ||||||
\(979\) | 0.272203 | + | 0.471469i | 0.00869963 | + | 0.0150682i | ||||
\(980\) | 8.63004 | − | 5.30838i | 0.275676 | − | 0.169570i | ||||
\(981\) | −15.4531 | + | 57.6719i | −0.493381 | + | 1.84132i | ||||
\(982\) | 4.05467 | + | 15.1322i | 0.129390 | + | 0.482889i | ||||
\(983\) | −4.11013 | + | 1.10131i | −0.131093 | + | 0.0351262i | −0.323769 | − | 0.946136i | \(-0.604950\pi\) |
0.192676 | + | 0.981262i | \(0.438283\pi\) | |||||||
\(984\) | 34.9149 | 1.11305 | ||||||||
\(985\) | 21.8750 | 0.696996 | ||||||||
\(986\) | 4.43773 | − | 1.18909i | 0.141326 | − | 0.0378682i | ||||
\(987\) | 47.2710 | + | 5.55479i | 1.50465 | + | 0.176811i | ||||
\(988\) | 17.5237 | − | 6.25164i | 0.557503 | − | 0.198891i | ||||
\(989\) | −2.39882 | − | 4.15489i | −0.0762782 | − | 0.132118i | ||||
\(990\) | 1.61363 | + | 0.432370i | 0.0512844 | + | 0.0137416i | ||||
\(991\) | 23.4457 | + | 40.6091i | 0.744776 | + | 1.28999i | 0.950299 | + | 0.311337i | \(0.100777\pi\) |
−0.205524 | + | 0.978652i | \(0.565890\pi\) | |||||||
\(992\) | 22.8423 | − | 39.5640i | 0.725243 | − | 1.25616i | ||||
\(993\) | 18.6969 | − | 18.6969i | 0.593328 | − | 0.593328i | ||||
\(994\) | −2.12780 | − | 14.5892i | −0.0674898 | − | 0.462742i | ||||
\(995\) | 18.7359 | + | 5.02027i | 0.593968 | + | 0.159153i | ||||
\(996\) | 43.9983 | + | 11.7893i | 1.39414 | + | 0.373559i | ||||
\(997\) | 9.66903i | 0.306221i | 0.988209 | + | 0.153111i | \(0.0489291\pi\) | ||||
−0.988209 | + | 0.153111i | \(0.951071\pi\) | |||||||
\(998\) | 24.9482 | − | 14.4039i | 0.789723 | − | 0.455947i | ||||
\(999\) | −29.6549 | − | 29.6549i | −0.938239 | − | 0.938239i |
(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 | 91.2.ba.a.59.6 | yes | 28 | |
3.2 | odd | 2 | 819.2.et.b.514.2 | 28 | |||
7.2 | even | 3 | 637.2.x.a.215.6 | 28 | |||
7.3 | odd | 6 | 637.2.bd.a.293.2 | 28 | |||
7.4 | even | 3 | 637.2.bd.b.293.2 | 28 | |||
7.5 | odd | 6 | 91.2.w.a.33.6 | ✓ | 28 | ||
7.6 | odd | 2 | 637.2.bb.a.423.6 | 28 | |||
13.2 | odd | 12 | 91.2.w.a.80.6 | yes | 28 | ||
21.5 | even | 6 | 819.2.gh.b.397.2 | 28 | |||
39.2 | even | 12 | 819.2.gh.b.262.2 | 28 | |||
91.2 | odd | 12 | 637.2.bb.a.509.6 | 28 | |||
91.41 | even | 12 | 637.2.x.a.80.6 | 28 | |||
91.54 | even | 12 | inner | 91.2.ba.a.54.6 | yes | 28 | |
91.67 | odd | 12 | 637.2.bd.a.587.2 | 28 | |||
91.80 | even | 12 | 637.2.bd.b.587.2 | 28 | |||
273.236 | odd | 12 | 819.2.et.b.145.2 | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.2.w.a.33.6 | ✓ | 28 | 7.5 | odd | 6 | ||
91.2.w.a.80.6 | yes | 28 | 13.2 | odd | 12 | ||
91.2.ba.a.54.6 | yes | 28 | 91.54 | even | 12 | inner | |
91.2.ba.a.59.6 | yes | 28 | 1.1 | even | 1 | trivial | |
637.2.x.a.80.6 | 28 | 91.41 | even | 12 | |||
637.2.x.a.215.6 | 28 | 7.2 | even | 3 | |||
637.2.bb.a.423.6 | 28 | 7.6 | odd | 2 | |||
637.2.bb.a.509.6 | 28 | 91.2 | odd | 12 | |||
637.2.bd.a.293.2 | 28 | 7.3 | odd | 6 | |||
637.2.bd.a.587.2 | 28 | 91.67 | odd | 12 | |||
637.2.bd.b.293.2 | 28 | 7.4 | even | 3 | |||
637.2.bd.b.587.2 | 28 | 91.80 | even | 12 | |||
819.2.et.b.145.2 | 28 | 273.236 | odd | 12 | |||
819.2.et.b.514.2 | 28 | 3.2 | odd | 2 | |||
819.2.gh.b.262.2 | 28 | 39.2 | even | 12 | |||
819.2.gh.b.397.2 | 28 | 21.5 | even | 6 |