Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,2,Mod(11,384)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(384, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([16, 21, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("384.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.w (of order \(32\), degree \(16\), 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: | \(3.06625543762\) |
Analytic rank: | \(0\) |
Dimension: | \(992\) |
Relative dimension: | \(62\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 131.46 | ||
Character | \(\chi\) | \(=\) | 384.131 |
Dual form | 384.2.w.a.299.46 |
$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{32}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00475 | − | 0.995229i | 0.710465 | − | 0.703733i | ||||
\(3\) | 1.26400 | − | 1.18419i | 0.729769 | − | 0.683694i | ||||
\(4\) | 0.0190404 | − | 1.99991i | 0.00952022 | − | 0.999955i | ||||
\(5\) | 0.476468 | − | 1.57070i | 0.213083 | − | 0.702441i | −0.783615 | − | 0.621246i | \(-0.786627\pi\) |
0.996698 | − | 0.0811942i | \(-0.0258734\pi\) | |||||||
\(6\) | 0.0914584 | − | 2.44778i | 0.0373377 | − | 0.999303i | ||||
\(7\) | 0.623411 | + | 3.13410i | 0.235627 | + | 1.18458i | 0.899564 | + | 0.436789i | \(0.143885\pi\) |
−0.663936 | + | 0.747789i | \(0.731115\pi\) | |||||||
\(8\) | −1.97124 | − | 2.02836i | −0.696937 | − | 0.717132i | ||||
\(9\) | 0.195379 | − | 2.99363i | 0.0651263 | − | 0.997877i | ||||
\(10\) | −1.08448 | − | 2.05236i | −0.342943 | − | 0.649013i | ||||
\(11\) | −1.36278 | + | 0.134222i | −0.410894 | + | 0.0404695i | −0.301353 | − | 0.953513i | \(-0.597438\pi\) |
−0.109541 | + | 0.993982i | \(0.534938\pi\) | |||||||
\(12\) | −2.34421 | − | 2.55043i | −0.676715 | − | 0.736245i | ||||
\(13\) | 0.849128 | + | 2.79920i | 0.235506 | + | 0.776359i | 0.992425 | + | 0.122850i | \(0.0392036\pi\) |
−0.756919 | + | 0.653508i | \(0.773296\pi\) | |||||||
\(14\) | 3.74552 | + | 2.52855i | 1.00103 | + | 0.675783i | ||||
\(15\) | −1.25776 | − | 2.54960i | −0.324753 | − | 0.658303i | ||||
\(16\) | −3.99927 | − | 0.0761583i | −0.999819 | − | 0.0190396i | ||||
\(17\) | 1.79685 | + | 0.744278i | 0.435799 | + | 0.180514i | 0.589787 | − | 0.807559i | \(-0.299212\pi\) |
−0.153988 | + | 0.988073i | \(0.549212\pi\) | |||||||
\(18\) | −2.78304 | − | 3.20229i | −0.655969 | − | 0.754788i | ||||
\(19\) | −0.623583 | + | 1.16664i | −0.143060 | + | 0.267646i | −0.943239 | − | 0.332115i | \(-0.892238\pi\) |
0.800179 | + | 0.599761i | \(0.204738\pi\) | |||||||
\(20\) | −3.13220 | − | 0.982800i | −0.700380 | − | 0.219761i | ||||
\(21\) | 4.49937 | + | 3.22326i | 0.981842 | + | 0.703372i | ||||
\(22\) | −1.23567 | + | 1.49114i | −0.263446 | + | 0.317912i | ||||
\(23\) | 0.359719 | + | 0.538358i | 0.0750067 | + | 0.112255i | 0.867076 | − | 0.498175i | \(-0.165996\pi\) |
−0.792070 | + | 0.610431i | \(0.790996\pi\) | |||||||
\(24\) | −4.89360 | − | 0.229515i | −0.998902 | − | 0.0468496i | ||||
\(25\) | 1.91726 | + | 1.28107i | 0.383451 | + | 0.256214i | ||||
\(26\) | 3.63901 | + | 1.96742i | 0.713668 | + | 0.385842i | ||||
\(27\) | −3.29808 | − | 4.01531i | −0.634715 | − | 0.772746i | ||||
\(28\) | 6.27979 | − | 1.18709i | 1.18677 | − | 0.224339i | ||||
\(29\) | −9.00674 | − | 0.887087i | −1.67251 | − | 0.164728i | −0.783118 | − | 0.621873i | \(-0.786372\pi\) |
−0.889392 | + | 0.457145i | \(0.848872\pi\) | |||||||
\(30\) | −3.80117 | − | 1.30994i | −0.693995 | − | 0.239162i | ||||
\(31\) | 6.19650 | + | 6.19650i | 1.11292 | + | 1.11292i | 0.992753 | + | 0.120172i | \(0.0383445\pi\) |
0.120172 | + | 0.992753i | \(0.461655\pi\) | |||||||
\(32\) | −4.09406 | + | 3.90367i | −0.723735 | + | 0.690078i | ||||
\(33\) | −1.56361 | + | 1.78345i | −0.272189 | + | 0.310459i | ||||
\(34\) | 2.54611 | − | 1.04046i | 0.436654 | − | 0.178437i | ||||
\(35\) | 5.21978 | + | 0.514104i | 0.882304 | + | 0.0868994i | ||||
\(36\) | −5.98327 | − | 0.447740i | −0.997212 | − | 0.0746234i | ||||
\(37\) | −1.99830 | − | 3.73856i | −0.328519 | − | 0.614616i | 0.662389 | − | 0.749160i | \(-0.269543\pi\) |
−0.990908 | + | 0.134545i | \(0.957043\pi\) | |||||||
\(38\) | 0.534530 | + | 1.79279i | 0.0867123 | + | 0.290829i | ||||
\(39\) | 4.38809 | + | 2.53265i | 0.702656 | + | 0.405549i | ||||
\(40\) | −4.12518 | + | 2.12978i | −0.652248 | + | 0.336748i | ||||
\(41\) | −4.03674 | − | 6.04140i | −0.630432 | − | 0.943509i | −0.999898 | − | 0.0142643i | \(-0.995459\pi\) |
0.369466 | − | 0.929244i | \(-0.379541\pi\) | |||||||
\(42\) | 7.72861 | − | 1.23933i | 1.19255 | − | 0.191234i | ||||
\(43\) | −2.76154 | − | 2.26634i | −0.421131 | − | 0.345613i | 0.399838 | − | 0.916586i | \(-0.369066\pi\) |
−0.820969 | + | 0.570973i | \(0.806566\pi\) | |||||||
\(44\) | 0.242484 | + | 2.72799i | 0.0365559 | + | 0.411260i | ||||
\(45\) | −4.60902 | − | 1.73325i | −0.687072 | − | 0.258378i | ||||
\(46\) | 0.897217 | + | 0.182912i | 0.132287 | + | 0.0269689i | ||||
\(47\) | 10.7796 | + | 4.46505i | 1.57237 | + | 0.651295i | 0.987181 | − | 0.159605i | \(-0.0510222\pi\) |
0.585184 | + | 0.810900i | \(0.301022\pi\) | |||||||
\(48\) | −5.14526 | + | 4.63965i | −0.742654 | + | 0.669675i | ||||
\(49\) | −2.96679 | + | 1.22888i | −0.423826 | + | 0.175555i | ||||
\(50\) | 3.20132 | − | 0.620955i | 0.452735 | − | 0.0878163i | ||||
\(51\) | 3.15258 | − | 1.18705i | 0.441449 | − | 0.166220i | ||||
\(52\) | 5.61432 | − | 1.64488i | 0.778566 | − | 0.228104i | ||||
\(53\) | 7.82154 | − | 0.770354i | 1.07437 | − | 0.105816i | 0.454674 | − | 0.890658i | \(-0.349756\pi\) |
0.619696 | + | 0.784842i | \(0.287256\pi\) | |||||||
\(54\) | −7.30989 | − | 0.752038i | −0.994750 | − | 0.102339i | ||||
\(55\) | −0.438498 | + | 2.20448i | −0.0591270 | + | 0.297252i | ||||
\(56\) | 5.12818 | − | 7.44255i | 0.685282 | − | 0.994553i | ||||
\(57\) | 0.593320 | + | 2.21307i | 0.0785871 | + | 0.293129i | ||||
\(58\) | −9.93237 | + | 8.07247i | −1.30418 | + | 1.05997i | ||||
\(59\) | −0.844346 | + | 2.78344i | −0.109925 | + | 0.362373i | −0.994593 | − | 0.103848i | \(-0.966885\pi\) |
0.884669 | + | 0.466220i | \(0.154385\pi\) | |||||||
\(60\) | −5.12291 | + | 2.46686i | −0.661365 | + | 0.318471i | ||||
\(61\) | 2.00356 | − | 1.64428i | 0.256529 | − | 0.210528i | −0.497334 | − | 0.867559i | \(-0.665688\pi\) |
0.753864 | + | 0.657031i | \(0.228188\pi\) | |||||||
\(62\) | 12.3929 | + | 0.0589928i | 1.57390 | + | 0.00749209i | ||||
\(63\) | 9.50414 | − | 1.25393i | 1.19741 | − | 0.157980i | ||||
\(64\) | −0.228458 | + | 7.99674i | −0.0285572 | + | 0.999592i | ||||
\(65\) | 4.80130 | 0.595528 | ||||||||
\(66\) | 0.203909 | + | 3.34806i | 0.0250994 | + | 0.412118i | ||||
\(67\) | −4.94729 | − | 6.02829i | −0.604407 | − | 0.736472i | 0.377463 | − | 0.926025i | \(-0.376796\pi\) |
−0.981871 | + | 0.189552i | \(0.939296\pi\) | |||||||
\(68\) | 1.52270 | − | 3.57936i | 0.184655 | − | 0.434061i | ||||
\(69\) | 1.09220 | + | 0.254506i | 0.131486 | + | 0.0306390i | ||||
\(70\) | 5.75622 | − | 4.67833i | 0.688000 | − | 0.559167i | ||||
\(71\) | 1.95866 | + | 9.84685i | 0.232450 | + | 1.16861i | 0.903962 | + | 0.427613i | \(0.140645\pi\) |
−0.671512 | + | 0.740994i | \(0.734355\pi\) | |||||||
\(72\) | −6.45729 | + | 5.50485i | −0.760999 | + | 0.648753i | ||||
\(73\) | −2.12676 | − | 0.423039i | −0.248919 | − | 0.0495130i | 0.0690539 | − | 0.997613i | \(-0.478002\pi\) |
−0.317972 | + | 0.948100i | \(0.603002\pi\) | |||||||
\(74\) | −5.72851 | − | 1.76755i | −0.665926 | − | 0.205473i | ||||
\(75\) | 3.94044 | − | 0.651131i | 0.455003 | − | 0.0751861i | ||||
\(76\) | 2.32130 | + | 1.26932i | 0.266272 | + | 0.145601i | ||||
\(77\) | −1.27024 | − | 4.18741i | −0.144757 | − | 0.477200i | ||||
\(78\) | 6.92949 | − | 1.82247i | 0.784611 | − | 0.206354i | ||||
\(79\) | −4.09692 | − | 9.89083i | −0.460939 | − | 1.11281i | −0.968012 | − | 0.250903i | \(-0.919273\pi\) |
0.507073 | − | 0.861903i | \(-0.330727\pi\) | |||||||
\(80\) | −2.02515 | + | 6.24539i | −0.226419 | + | 0.698256i | ||||
\(81\) | −8.92365 | − | 1.16979i | −0.991517 | − | 0.129976i | ||||
\(82\) | −10.0685 | − | 2.05262i | −1.11188 | − | 0.226674i | ||||
\(83\) | −5.87371 | + | 10.9889i | −0.644723 | + | 1.20619i | 0.321114 | + | 0.947041i | \(0.395943\pi\) |
−0.965837 | + | 0.259151i | \(0.916557\pi\) | |||||||
\(84\) | 6.53189 | − | 8.93695i | 0.712688 | − | 0.975101i | ||||
\(85\) | 2.02518 | − | 2.46769i | 0.219662 | − | 0.267659i | ||||
\(86\) | −5.03018 | + | 0.471264i | −0.542418 | + | 0.0508177i | ||||
\(87\) | −12.4350 | + | 9.54444i | −1.33317 | + | 1.02327i | ||||
\(88\) | 2.95861 | + | 2.49962i | 0.315389 | + | 0.266460i | ||||
\(89\) | −10.6049 | − | 7.08594i | −1.12411 | − | 0.751108i | −0.152646 | − | 0.988281i | \(-0.548779\pi\) |
−0.971468 | + | 0.237172i | \(0.923779\pi\) | |||||||
\(90\) | −6.35589 | + | 2.84554i | −0.669969 | + | 0.299947i | ||||
\(91\) | −8.24362 | + | 4.40631i | −0.864166 | + | 0.461907i | ||||
\(92\) | 1.08352 | − | 0.709155i | 0.112964 | − | 0.0739346i | ||||
\(93\) | 15.1702 | + | 0.494515i | 1.57308 | + | 0.0512788i | ||||
\(94\) | 15.2745 | − | 6.24190i | 1.57545 | − | 0.643803i | ||||
\(95\) | 1.53533 | + | 1.53533i | 0.157522 | + | 0.157522i | ||||
\(96\) | −0.552186 | + | 9.78239i | −0.0563573 | + | 0.998411i | ||||
\(97\) | −2.39468 | + | 2.39468i | −0.243143 | + | 0.243143i | −0.818149 | − | 0.575006i | \(-0.805000\pi\) |
0.575006 | + | 0.818149i | \(0.305000\pi\) | |||||||
\(98\) | −1.75785 | + | 4.18735i | −0.177570 | + | 0.422986i | ||||
\(99\) | 0.135553 | + | 4.10589i | 0.0136236 | + | 0.412657i | ||||
\(100\) | 2.59853 | − | 3.80995i | 0.259853 | − | 0.380995i | ||||
\(101\) | 2.33953 | + | 4.37695i | 0.232792 | + | 0.435523i | 0.971010 | − | 0.239039i | \(-0.0768324\pi\) |
−0.738218 | + | 0.674562i | \(0.764332\pi\) | |||||||
\(102\) | 1.98617 | − | 4.33022i | 0.196660 | − | 0.428755i | ||||
\(103\) | 1.80896 | − | 2.70730i | 0.178242 | − | 0.266758i | −0.731581 | − | 0.681754i | \(-0.761217\pi\) |
0.909823 | + | 0.414997i | \(0.136217\pi\) | |||||||
\(104\) | 4.00394 | − | 7.24022i | 0.392619 | − | 0.709962i | ||||
\(105\) | 7.20659 | − | 5.53140i | 0.703291 | − | 0.539809i | ||||
\(106\) | 7.09200 | − | 8.55823i | 0.688836 | − | 0.831249i | ||||
\(107\) | 13.8829 | + | 11.3934i | 1.34211 | + | 1.10144i | 0.985955 | + | 0.167009i | \(0.0534110\pi\) |
0.356151 | + | 0.934429i | \(0.384089\pi\) | |||||||
\(108\) | −8.09305 | + | 6.51940i | −0.778754 | + | 0.627329i | ||||
\(109\) | −1.26577 | − | 0.676571i | −0.121239 | − | 0.0648037i | 0.409662 | − | 0.912237i | \(-0.365647\pi\) |
−0.530901 | + | 0.847434i | \(0.678147\pi\) | |||||||
\(110\) | 1.75338 | + | 2.65135i | 0.167178 | + | 0.252797i | ||||
\(111\) | −6.95302 | − | 2.35916i | −0.659952 | − | 0.223921i | ||||
\(112\) | −2.25451 | − | 12.5816i | −0.213031 | − | 1.18885i | ||||
\(113\) | 12.3607 | − | 5.11995i | 1.16279 | − | 0.481644i | 0.283989 | − | 0.958828i | \(-0.408342\pi\) |
0.878804 | + | 0.477183i | \(0.158342\pi\) | |||||||
\(114\) | 2.79865 | + | 1.63309i | 0.262118 | + | 0.152953i | ||||
\(115\) | 1.01700 | − | 0.308502i | 0.0948354 | − | 0.0287680i | ||||
\(116\) | −1.94559 | + | 17.9958i | −0.180643 | + | 1.67087i | ||||
\(117\) | 8.54568 | − | 1.99507i | 0.790048 | − | 0.184444i | ||||
\(118\) | 1.92180 | + | 3.63697i | 0.176916 | + | 0.334810i | ||||
\(119\) | −1.21247 | + | 6.09549i | −0.111147 | + | 0.558773i | ||||
\(120\) | −2.69215 | + | 7.57704i | −0.245758 | + | 0.691686i | ||||
\(121\) | −8.94948 | + | 1.78016i | −0.813589 | + | 0.161833i | ||||
\(122\) | 0.376641 | − | 3.64608i | 0.0340994 | − | 0.330101i | ||||
\(123\) | −12.2566 | − | 2.85605i | −1.10514 | − | 0.257521i | ||||
\(124\) | 12.5104 | − | 12.2745i | 1.12347 | − | 1.10228i | ||||
\(125\) | 9.26972 | − | 7.60746i | 0.829109 | − | 0.680432i | ||||
\(126\) | 8.30133 | − | 10.7187i | 0.739541 | − | 0.954895i | ||||
\(127\) | 20.8038i | 1.84604i | 0.384757 | + | 0.923018i | \(0.374285\pi\) | ||||
−0.384757 | + | 0.923018i | \(0.625715\pi\) | |||||||
\(128\) | 7.72904 | + | 8.26208i | 0.683157 | + | 0.730272i | ||||
\(129\) | −6.17436 | + | 0.405549i | −0.543622 | + | 0.0357066i | ||||
\(130\) | 4.82410 | − | 4.77839i | 0.423102 | − | 0.419093i | ||||
\(131\) | −4.27000 | − | 5.20301i | −0.373072 | − | 0.454589i | 0.552303 | − | 0.833644i | \(-0.313749\pi\) |
−0.925374 | + | 0.379055i | \(0.876249\pi\) | |||||||
\(132\) | 3.53697 | + | 3.16103i | 0.307853 | + | 0.275132i | ||||
\(133\) | −4.04512 | − | 1.22707i | −0.350756 | − | 0.106401i | ||||
\(134\) | −10.9703 | − | 1.13323i | −0.947690 | − | 0.0978964i | ||||
\(135\) | −7.87829 | + | 3.26714i | −0.678055 | + | 0.281190i | ||||
\(136\) | −2.03235 | − | 5.11179i | −0.174272 | − | 0.438333i | ||||
\(137\) | −18.4227 | − | 3.66450i | −1.57396 | − | 0.313080i | −0.670551 | − | 0.741864i | \(-0.733942\pi\) |
−0.903407 | + | 0.428784i | \(0.858942\pi\) | |||||||
\(138\) | 1.35068 | − | 0.831277i | 0.114978 | − | 0.0707630i | ||||
\(139\) | −1.40045 | − | 14.2190i | −0.118785 | − | 1.20604i | −0.851074 | − | 0.525046i | \(-0.824048\pi\) |
0.732289 | − | 0.680994i | \(-0.238452\pi\) | |||||||
\(140\) | 1.12755 | − | 10.4293i | 0.0952952 | − | 0.881437i | ||||
\(141\) | 18.9129 | − | 7.12129i | 1.59275 | − | 0.599721i | ||||
\(142\) | 11.7678 | + | 7.94430i | 0.987534 | + | 0.666671i | ||||
\(143\) | −1.53289 | − | 3.70072i | −0.128187 | − | 0.309470i | ||||
\(144\) | −1.00936 | + | 11.9575i | −0.0841137 | + | 0.996456i | ||||
\(145\) | −5.68478 | + | 13.7243i | −0.472095 | + | 1.13974i | ||||
\(146\) | −2.55788 | + | 1.69157i | −0.211692 | + | 0.139995i | ||||
\(147\) | −2.29478 | + | 5.06655i | −0.189270 | + | 0.417882i | ||||
\(148\) | −7.51483 | + | 3.92524i | −0.617715 | + | 0.322653i | ||||
\(149\) | −13.3384 | + | 16.2528i | −1.09272 | + | 1.33148i | −0.153509 | + | 0.988147i | \(0.549057\pi\) |
−0.939212 | + | 0.343337i | \(0.888443\pi\) | |||||||
\(150\) | 3.31113 | − | 4.57586i | 0.270352 | − | 0.373617i | ||||
\(151\) | −11.5579 | + | 7.72275i | −0.940569 | + | 0.628468i | −0.928450 | − | 0.371458i | \(-0.878858\pi\) |
−0.0121198 | + | 0.999927i | \(0.503858\pi\) | |||||||
\(152\) | 3.59559 | − | 1.03488i | 0.291641 | − | 0.0839396i | ||||
\(153\) | 2.57916 | − | 5.23368i | 0.208513 | − | 0.423118i | ||||
\(154\) | −5.44370 | − | 2.94312i | −0.438666 | − | 0.237164i | ||||
\(155\) | 12.6853 | − | 6.78044i | 1.01891 | − | 0.544618i | ||||
\(156\) | 5.14863 | − | 8.72756i | 0.412220 | − | 0.698764i | ||||
\(157\) | 0.586826 | − | 5.95814i | 0.0468338 | − | 0.475512i | −0.942950 | − | 0.332935i | \(-0.891961\pi\) |
0.989784 | − | 0.142577i | \(-0.0455389\pi\) | |||||||
\(158\) | −13.9600 | − | 5.86043i | −1.11060 | − | 0.466231i | ||||
\(159\) | 8.97415 | − | 10.2359i | 0.711697 | − | 0.811762i | ||||
\(160\) | 4.18083 | + | 8.29054i | 0.330523 | + | 0.655425i | ||||
\(161\) | −1.46301 | + | 1.46301i | −0.115302 | + | 0.115302i | ||||
\(162\) | −10.1302 | + | 7.70573i | −0.795906 | + | 0.605420i | ||||
\(163\) | 1.65730 | − | 16.8269i | 0.129810 | − | 1.31798i | −0.680832 | − | 0.732440i | \(-0.738381\pi\) |
0.810642 | − | 0.585543i | \(-0.199119\pi\) | |||||||
\(164\) | −12.1591 | + | 7.95808i | −0.949468 | + | 0.621421i | ||||
\(165\) | 2.05626 | + | 3.30572i | 0.160080 | + | 0.257350i | ||||
\(166\) | 5.03490 | + | 16.8868i | 0.390784 | + | 1.31067i | ||||
\(167\) | −0.813145 | + | 1.21696i | −0.0629231 | + | 0.0941710i | −0.861597 | − | 0.507593i | \(-0.830535\pi\) |
0.798674 | + | 0.601764i | \(0.205535\pi\) | |||||||
\(168\) | −2.33140 | − | 15.4801i | −0.179872 | − | 1.19432i | ||||
\(169\) | 3.69460 | − | 2.46865i | 0.284200 | − | 0.189896i | ||||
\(170\) | −0.421118 | − | 4.49493i | −0.0322982 | − | 0.344745i | ||||
\(171\) | 3.37066 | + | 2.09471i | 0.257761 | + | 0.160187i | ||||
\(172\) | −4.58505 | + | 5.47968i | −0.349607 | + | 0.417821i | ||||
\(173\) | −19.1940 | − | 10.2594i | −1.45929 | − | 0.780008i | −0.464860 | − | 0.885384i | \(-0.653895\pi\) |
−0.994432 | + | 0.105376i | \(0.966395\pi\) | |||||||
\(174\) | −2.99514 | + | 21.9654i | −0.227061 | + | 1.66519i | ||||
\(175\) | −2.81976 | + | 6.80751i | −0.213154 | + | 0.514599i | ||||
\(176\) | 5.46035 | − | 0.433004i | 0.411590 | − | 0.0326389i | ||||
\(177\) | 2.22887 | + | 4.51812i | 0.167532 | + | 0.339603i | ||||
\(178\) | −17.7074 | + | 3.43467i | −1.32722 | + | 0.257439i | ||||
\(179\) | 6.53490 | − | 1.98234i | 0.488441 | − | 0.148167i | −0.0364514 | − | 0.999335i | \(-0.511605\pi\) |
0.524893 | + | 0.851168i | \(0.324105\pi\) | |||||||
\(180\) | −3.55411 | + | 9.18462i | −0.264907 | + | 0.684581i | ||||
\(181\) | −0.595461 | − | 6.04582i | −0.0442603 | − | 0.449382i | −0.991618 | − | 0.129205i | \(-0.958757\pi\) |
0.947358 | − | 0.320177i | \(-0.103743\pi\) | |||||||
\(182\) | −3.89749 | + | 12.6315i | −0.288901 | + | 0.936310i | ||||
\(183\) | 0.585352 | − | 4.45096i | 0.0432705 | − | 0.329024i | ||||
\(184\) | 0.382890 | − | 1.79087i | 0.0282270 | − | 0.132025i | ||||
\(185\) | −6.82430 | + | 1.35744i | −0.501733 | + | 0.0998008i | ||||
\(186\) | 15.7344 | − | 14.6010i | 1.15370 | − | 1.07059i | ||||
\(187\) | −2.54861 | − | 0.773111i | −0.186373 | − | 0.0565355i | ||||
\(188\) | 9.13495 | − | 21.4732i | 0.666235 | − | 1.56609i | ||||
\(189\) | 10.5283 | − | 12.8397i | 0.765823 | − | 0.933950i | ||||
\(190\) | 3.07063 | + | 0.0146169i | 0.222767 | + | 0.00106042i | ||||
\(191\) | − | 7.10143i | − | 0.513842i | −0.966432 | − | 0.256921i | \(-0.917292\pi\) | ||
0.966432 | − | 0.256921i | \(-0.0827080\pi\) | |||||||
\(192\) | 9.18090 | + | 10.3784i | 0.662575 | + | 0.748996i | ||||
\(193\) | − | 20.3136i | − | 1.46220i | −0.682269 | − | 0.731101i | \(-0.739007\pi\) | ||
0.682269 | − | 0.731101i | \(-0.260993\pi\) | |||||||
\(194\) | −0.0227981 | + | 4.78930i | −0.00163681 | + | 0.343852i | ||||
\(195\) | 6.06883 | − | 5.68566i | 0.434598 | − | 0.407159i | ||||
\(196\) | 2.40117 | + | 5.95670i | 0.171512 | + | 0.425479i | ||||
\(197\) | −12.3617 | − | 3.74987i | −0.880732 | − | 0.267167i | −0.182644 | − | 0.983179i | \(-0.558466\pi\) |
−0.698088 | + | 0.716012i | \(0.745966\pi\) | |||||||
\(198\) | 4.22249 | + | 3.99048i | 0.300079 | + | 0.283591i | ||||
\(199\) | −7.97948 | + | 1.58722i | −0.565650 | + | 0.112515i | −0.469628 | − | 0.882864i | \(-0.655612\pi\) |
−0.0960221 | + | 0.995379i | \(0.530612\pi\) | |||||||
\(200\) | −1.18090 | − | 6.41417i | −0.0835022 | − | 0.453550i | ||||
\(201\) | −13.3920 | − | 1.76120i | −0.944599 | − | 0.124226i | ||||
\(202\) | 6.70671 | + | 2.06937i | 0.471882 | + | 0.145600i | ||||
\(203\) | −2.83469 | − | 28.7811i | −0.198956 | − | 2.02003i | ||||
\(204\) | −2.31396 | − | 6.32747i | −0.162009 | − | 0.443012i | ||||
\(205\) | −11.4126 | + | 3.46199i | −0.797093 | + | 0.241796i | ||||
\(206\) | −0.876830 | − | 4.52048i | −0.0610917 | − | 0.314957i | ||||
\(207\) | 1.68193 | − | 0.971683i | 0.116902 | − | 0.0675366i | ||||
\(208\) | −3.18272 | − | 11.2594i | −0.220682 | − | 0.780702i | ||||
\(209\) | 0.693217 | − | 1.67357i | 0.0479508 | − | 0.115763i | ||||
\(210\) | 1.73581 | − | 12.7299i | 0.119782 | − | 0.878444i | ||||
\(211\) | −0.0468718 | − | 0.0250535i | −0.00322679 | − | 0.00172476i | 0.469783 | − | 0.882782i | \(-0.344332\pi\) |
−0.473009 | + | 0.881057i | \(0.656832\pi\) | |||||||
\(212\) | −1.39171 | − | 15.6570i | −0.0955832 | − | 1.07533i | ||||
\(213\) | 14.1363 | + | 10.1270i | 0.968604 | + | 0.693888i | ||||
\(214\) | 25.2878 | − | 2.36914i | 1.72864 | − | 0.161951i | ||||
\(215\) | −4.87553 | + | 3.25773i | −0.332509 | + | 0.222175i | ||||
\(216\) | −1.64319 | + | 14.6048i | −0.111805 | + | 0.993730i | ||||
\(217\) | −15.5575 | + | 23.2834i | −1.05611 | + | 1.58058i | ||||
\(218\) | −1.94513 | + | 0.579951i | −0.131741 | + | 0.0392793i | ||||
\(219\) | −3.18918 | + | 1.98377i | −0.215505 | + | 0.134051i | ||||
\(220\) | 4.40041 | + | 0.918930i | 0.296675 | + | 0.0619543i | ||||
\(221\) | −0.557631 | + | 5.66172i | −0.0375103 | + | 0.380849i | ||||
\(222\) | −9.33394 | + | 4.54948i | −0.626453 | + | 0.305341i | ||||
\(223\) | −8.38538 | + | 8.38538i | −0.561527 | + | 0.561527i | −0.929741 | − | 0.368214i | \(-0.879969\pi\) |
0.368214 | + | 0.929741i | \(0.379969\pi\) | |||||||
\(224\) | −14.7868 | − | 10.3976i | −0.987984 | − | 0.694719i | ||||
\(225\) | 4.20964 | − | 5.48926i | 0.280643 | − | 0.365951i | ||||
\(226\) | 7.32383 | − | 17.4459i | 0.487174 | − | 1.16049i | ||||
\(227\) | −1.56065 | + | 15.8456i | −0.103584 | + | 1.05171i | 0.793117 | + | 0.609069i | \(0.208457\pi\) |
−0.896701 | + | 0.442637i | \(0.854043\pi\) | |||||||
\(228\) | 4.43724 | − | 1.14445i | 0.293863 | − | 0.0757929i | ||||
\(229\) | 6.00830 | − | 3.21150i | 0.397039 | − | 0.212222i | −0.260779 | − | 0.965399i | \(-0.583979\pi\) |
0.657818 | + | 0.753177i | \(0.271479\pi\) | |||||||
\(230\) | 0.714795 | − | 1.32211i | 0.0471322 | − | 0.0871774i | ||||
\(231\) | −6.56428 | − | 3.78867i | −0.431898 | − | 0.249276i | ||||
\(232\) | 15.9551 | + | 20.0175i | 1.04750 | + | 1.31422i | ||||
\(233\) | 7.23376 | − | 4.83345i | 0.473900 | − | 0.316650i | −0.295583 | − | 0.955317i | \(-0.595514\pi\) |
0.769483 | + | 0.638667i | \(0.220514\pi\) | |||||||
\(234\) | 6.60071 | − | 10.5094i | 0.431502 | − | 0.687024i | ||||
\(235\) | 12.1494 | − | 14.8041i | 0.792540 | − | 0.965713i | ||||
\(236\) | 5.55054 | + | 1.74161i | 0.361310 | + | 0.113369i | ||||
\(237\) | −16.8911 | − | 7.65045i | −1.09720 | − | 0.496950i | ||||
\(238\) | 4.84818 | + | 7.33112i | 0.314261 | + | 0.475206i | ||||
\(239\) | 9.95561 | − | 24.0350i | 0.643975 | − | 1.55469i | −0.177298 | − | 0.984157i | \(-0.556735\pi\) |
0.821273 | − | 0.570536i | \(-0.193265\pi\) | |||||||
\(240\) | 4.83596 | + | 10.2923i | 0.312160 | + | 0.664367i | ||||
\(241\) | 9.40557 | + | 22.7071i | 0.605866 | + | 1.46269i | 0.867457 | + | 0.497512i | \(0.165753\pi\) |
−0.261591 | + | 0.965179i | \(0.584247\pi\) | |||||||
\(242\) | −7.22031 | + | 10.6954i | −0.464139 | + | 0.687526i | ||||
\(243\) | −12.6647 | + | 9.08871i | −0.812443 | + | 0.583041i | ||||
\(244\) | −3.25026 | − | 4.03824i | −0.208076 | − | 0.258522i | ||||
\(245\) | 0.516633 | + | 5.24547i | 0.0330065 | + | 0.335121i | ||||
\(246\) | −15.1572 | + | 9.32851i | −0.966390 | + | 0.594764i | ||||
\(247\) | −3.79516 | − | 0.754905i | −0.241481 | − | 0.0480335i | ||||
\(248\) | 0.353946 | − | 24.7835i | 0.0224756 | − | 1.57375i | ||||
\(249\) | 5.58865 | + | 20.8456i | 0.354167 | + | 1.32103i | ||||
\(250\) | 1.74258 | − | 16.8691i | 0.110210 | − | 1.06689i | ||||
\(251\) | −13.1114 | − | 3.97730i | −0.827585 | − | 0.251045i | −0.152050 | − | 0.988373i | \(-0.548587\pi\) |
−0.675535 | + | 0.737328i | \(0.736087\pi\) | |||||||
\(252\) | −2.32678 | − | 19.0313i | −0.146573 | − | 1.19886i | ||||
\(253\) | −0.562478 | − | 0.685381i | −0.0353627 | − | 0.0430895i | ||||
\(254\) | 20.7045 | + | 20.9026i | 1.29912 | + | 1.31154i | ||||
\(255\) | −0.362395 | − | 5.51736i | −0.0226941 | − | 0.345510i | ||||
\(256\) | 15.9884 | + | 0.609156i | 0.999275 | + | 0.0380723i | ||||
\(257\) | − | 2.34016i | − | 0.145975i | −0.997333 | − | 0.0729876i | \(-0.976747\pi\) | ||
0.997333 | − | 0.0729876i | \(-0.0232534\pi\) | |||||||
\(258\) | −5.80006 | + | 6.55237i | −0.361096 | + | 0.407933i | ||||
\(259\) | 10.4713 | − | 8.59354i | 0.650652 | − | 0.533977i | ||||
\(260\) | 0.0914189 | − | 9.60217i | 0.00566956 | − | 0.595501i | ||||
\(261\) | −4.41534 | + | 26.7896i | −0.273303 | + | 1.65823i | ||||
\(262\) | −9.46846 | − | 0.978093i | −0.584964 | − | 0.0604268i | ||||
\(263\) | −10.8192 | + | 2.15207i | −0.667140 | + | 0.132702i | −0.517030 | − | 0.855967i | \(-0.672963\pi\) |
−0.150109 | + | 0.988669i | \(0.547963\pi\) | |||||||
\(264\) | 6.69971 | − | 0.344050i | 0.412338 | − | 0.0211748i | ||||
\(265\) | 2.51671 | − | 12.6524i | 0.154600 | − | 0.777229i | ||||
\(266\) | −5.28555 | + | 2.79292i | −0.324078 | + | 0.171245i | ||||
\(267\) | −21.7956 | + | 3.60158i | −1.33387 | + | 0.220413i | ||||
\(268\) | −12.1502 | + | 9.77934i | −0.742193 | + | 0.597369i | ||||
\(269\) | 12.8472 | − | 3.89715i | 0.783306 | − | 0.237613i | 0.126794 | − | 0.991929i | \(-0.459531\pi\) |
0.656512 | + | 0.754316i | \(0.272031\pi\) | |||||||
\(270\) | −4.66416 | + | 11.1234i | −0.283852 | + | 0.676946i | ||||
\(271\) | −1.13658 | + | 0.470788i | −0.0690425 | + | 0.0285984i | −0.416937 | − | 0.908935i | \(-0.636897\pi\) |
0.347895 | + | 0.937534i | \(0.386897\pi\) | |||||||
\(272\) | −7.12940 | − | 3.11342i | −0.432283 | − | 0.188779i | ||||
\(273\) | −5.20200 | + | 15.3316i | −0.314840 | + | 0.927910i | ||||
\(274\) | −22.1572 | + | 14.6529i | −1.33857 | + | 0.885214i | ||||
\(275\) | −2.78475 | − | 1.48848i | −0.167927 | − | 0.0897586i | ||||
\(276\) | 0.529786 | − | 2.17946i | 0.0318894 | − | 0.131188i | ||||
\(277\) | −4.09782 | − | 3.36300i | −0.246214 | − | 0.202063i | 0.503189 | − | 0.864176i | \(-0.332160\pi\) |
−0.749404 | + | 0.662113i | \(0.769660\pi\) | |||||||
\(278\) | −15.5583 | − | 12.8928i | −0.933123 | − | 0.773257i | ||||
\(279\) | 19.7607 | − | 17.3394i | 1.18304 | − | 1.03808i | ||||
\(280\) | −9.24664 | − | 11.6010i | −0.552592 | − | 0.693292i | ||||
\(281\) | −11.3706 | + | 17.0174i | −0.678315 | + | 1.01517i | 0.319401 | + | 0.947620i | \(0.396518\pi\) |
−0.997716 | + | 0.0675504i | \(0.978482\pi\) | |||||||
\(282\) | 11.9154 | − | 25.9777i | 0.709549 | − | 1.54695i | ||||
\(283\) | 1.28687 | + | 2.40757i | 0.0764967 | + | 0.143115i | 0.917262 | − | 0.398285i | \(-0.130394\pi\) |
−0.840765 | + | 0.541400i | \(0.817894\pi\) | |||||||
\(284\) | 19.7301 | − | 3.72966i | 1.17077 | − | 0.221314i | ||||
\(285\) | 3.75878 | + | 0.122528i | 0.222651 | + | 0.00725793i | ||||
\(286\) | −5.22324 | − | 2.19272i | −0.308856 | − | 0.129658i | ||||
\(287\) | 16.4178 | − | 16.4178i | 0.969113 | − | 0.969113i | ||||
\(288\) | 10.8863 | + | 13.0188i | 0.641479 | + | 0.767141i | ||||
\(289\) | −9.34611 | − | 9.34611i | −0.549771 | − | 0.549771i | ||||
\(290\) | 7.94701 | + | 19.4471i | 0.466664 | + | 1.14197i | ||||
\(291\) | −0.191109 | + | 5.86263i | −0.0112030 | + | 0.343673i | ||||
\(292\) | −0.886534 | + | 4.24528i | −0.0518805 | + | 0.248436i | ||||
\(293\) | 18.4676 | − | 9.87115i | 1.07889 | − | 0.576679i | 0.166517 | − | 0.986039i | \(-0.446748\pi\) |
0.912373 | + | 0.409360i | \(0.134248\pi\) | |||||||
\(294\) | 2.73670 | + | 7.37443i | 0.159608 | + | 0.430086i | ||||
\(295\) | 3.96965 | + | 2.65244i | 0.231122 | + | 0.154431i | ||||
\(296\) | −3.64401 | + | 11.4229i | −0.211804 | + | 0.663940i | ||||
\(297\) | 5.03349 | + | 5.02931i | 0.292073 | + | 0.291830i | ||||
\(298\) | 2.77359 | + | 29.6047i | 0.160670 | + | 1.71496i | ||||
\(299\) | −1.20152 | + | 1.46406i | −0.0694860 | + | 0.0846689i | ||||
\(300\) | −1.22717 | − | 7.89292i | −0.0708509 | − | 0.455698i | ||||
\(301\) | 5.38135 | − | 10.0678i | 0.310176 | − | 0.580299i | ||||
\(302\) | −3.92690 | + | 19.2622i | −0.225968 | + | 1.10841i | ||||
\(303\) | 8.14031 | + | 2.76200i | 0.467649 | + | 0.158673i | ||||
\(304\) | 2.58273 | − | 4.61823i | 0.148130 | − | 0.264873i | ||||
\(305\) | −1.62804 | − | 3.93044i | −0.0932215 | − | 0.225057i | ||||
\(306\) | −2.61730 | − | 7.82539i | −0.149621 | − | 0.447348i | ||||
\(307\) | −4.77688 | − | 15.7473i | −0.272631 | − | 0.898745i | −0.981182 | − | 0.193085i | \(-0.938151\pi\) |
0.708551 | − | 0.705660i | \(-0.249349\pi\) | |||||||
\(308\) | −8.39863 | + | 2.46063i | −0.478557 | + | 0.140207i | ||||
\(309\) | −0.919440 | − | 5.56417i | −0.0523051 | − | 0.316534i | ||||
\(310\) | 5.99747 | − | 19.4374i | 0.340633 | − | 1.10397i | ||||
\(311\) | 4.04107 | + | 0.803818i | 0.229148 | + | 0.0455804i | 0.308329 | − | 0.951280i | \(-0.400230\pi\) |
−0.0791806 | + | 0.996860i | \(0.525230\pi\) | |||||||
\(312\) | −3.51284 | − | 13.8931i | −0.198875 | − | 0.786540i | ||||
\(313\) | −0.296298 | − | 1.48959i | −0.0167477 | − | 0.0841966i | 0.971508 | − | 0.237009i | \(-0.0761670\pi\) |
−0.988255 | + | 0.152812i | \(0.951167\pi\) | |||||||
\(314\) | −5.34010 | − | 6.57046i | −0.301359 | − | 0.370793i | ||||
\(315\) | 2.55887 | − | 15.5257i | 0.144176 | − | 0.874772i | ||||
\(316\) | −19.8588 | + | 8.00514i | −1.11714 | + | 0.450324i | ||||
\(317\) | 3.48944 | + | 4.25189i | 0.195986 | + | 0.238810i | 0.861726 | − | 0.507374i | \(-0.169384\pi\) |
−0.665739 | + | 0.746184i | \(0.731884\pi\) | |||||||
\(318\) | −1.17031 | − | 19.2159i | −0.0656279 | − | 1.07757i | ||||
\(319\) | 12.3933 | 0.693890 | ||||||||
\(320\) | 12.4517 | + | 4.16903i | 0.696069 | + | 0.233056i | ||||
\(321\) | 31.0398 | − | 2.03878i | 1.73247 | − | 0.113794i | ||||
\(322\) | −0.0139284 | + | 2.92600i | −0.000776198 | + | 0.163059i | ||||
\(323\) | −1.98879 | + | 1.63216i | −0.110659 | + | 0.0908156i | ||||
\(324\) | −2.50938 | + | 17.8242i | −0.139410 | + | 0.990235i | ||||
\(325\) | −1.95798 | + | 6.45458i | −0.108609 | + | 0.358036i | ||||
\(326\) | −15.0814 | − | 18.5562i | −0.835282 | − | 1.02773i | ||||
\(327\) | −2.40113 | + | 0.643737i | −0.132783 | + | 0.0355987i | ||||
\(328\) | −4.29676 | + | 20.0970i | −0.237249 | + | 1.10967i | ||||
\(329\) | −7.27380 | + | 36.5679i | −0.401018 | + | 2.01605i | ||||
\(330\) | 5.35598 | + | 1.27497i | 0.294837 | + | 0.0701845i | ||||
\(331\) | 34.7465 | − | 3.42223i | 1.90984 | − | 0.188103i | 0.927320 | − | 0.374270i | \(-0.122107\pi\) |
0.982518 | + | 0.186167i | \(0.0596067\pi\) | |||||||
\(332\) | 21.8650 | + | 11.9561i | 1.20000 | + | 0.656177i | ||||
\(333\) | −11.5823 | + | 5.25174i | −0.634706 | + | 0.287794i | ||||
\(334\) | 0.394144 | + | 2.03200i | 0.0215666 | + | 0.111186i | ||||
\(335\) | −11.8259 | + | 4.89844i | −0.646117 | + | 0.267630i | ||||
\(336\) | −17.7487 | − | 13.2334i | −0.968272 | − | 0.721938i | ||||
\(337\) | 29.9270 | + | 12.3962i | 1.63023 | + | 0.675263i | 0.995258 | − | 0.0972740i | \(-0.0310123\pi\) |
0.634970 | + | 0.772537i | \(0.281012\pi\) | |||||||
\(338\) | 1.25527 | − | 6.15734i | 0.0682777 | − | 0.334915i | ||||
\(339\) | 9.56083 | − | 21.1090i | 0.519273 | − | 1.14648i | ||||
\(340\) | −4.89660 | − | 4.09717i | −0.265555 | − | 0.222200i | ||||
\(341\) | −9.27618 | − | 7.61276i | −0.502333 | − | 0.412254i | ||||
\(342\) | 5.47138 | − | 1.24991i | 0.295858 | − | 0.0675876i | ||||
\(343\) | 6.72631 | + | 10.0666i | 0.363186 | + | 0.543547i | ||||
\(344\) | 0.846708 | + | 10.0689i | 0.0456514 | + | 0.542877i | ||||
\(345\) | 0.920155 | − | 1.59426i | 0.0495395 | − | 0.0858323i | ||||
\(346\) | −29.4956 | + | 8.79429i | −1.58569 | + | 0.472784i | ||||
\(347\) | −4.57545 | − | 8.56006i | −0.245623 | − | 0.459528i | 0.728654 | − | 0.684882i | \(-0.240146\pi\) |
−0.974277 | + | 0.225354i | \(0.927646\pi\) | |||||||
\(348\) | 18.8512 | + | 25.0506i | 1.01053 | + | 1.34285i | ||||
\(349\) | 26.9642 | + | 2.65574i | 1.44336 | + | 0.142159i | 0.789171 | − | 0.614173i | \(-0.210510\pi\) |
0.654189 | + | 0.756331i | \(0.273010\pi\) | |||||||
\(350\) | 3.94187 | + | 9.64614i | 0.210702 | + | 0.515608i | ||||
\(351\) | 8.43917 | − | 12.6415i | 0.450449 | − | 0.674753i | ||||
\(352\) | 5.05535 | − | 5.86936i | 0.269451 | − | 0.312838i | ||||
\(353\) | 2.83090 | + | 2.83090i | 0.150674 | + | 0.150674i | 0.778419 | − | 0.627745i | \(-0.216022\pi\) |
−0.627745 | + | 0.778419i | \(0.716022\pi\) | |||||||
\(354\) | 6.73602 | + | 2.32134i | 0.358016 | + | 0.123378i | ||||
\(355\) | 16.3997 | + | 1.61523i | 0.870408 | + | 0.0857277i | ||||
\(356\) | −14.3732 | + | 21.0738i | −0.761776 | + | 1.11691i | ||||
\(357\) | 5.68567 | + | 9.14048i | 0.300918 | + | 0.483765i | ||||
\(358\) | 4.59305 | − | 8.49547i | 0.242750 | − | 0.449000i | ||||
\(359\) | 9.99409 | + | 6.67783i | 0.527468 | + | 0.352443i | 0.790616 | − | 0.612313i | \(-0.209761\pi\) |
−0.263148 | + | 0.964756i | \(0.584761\pi\) | |||||||
\(360\) | 5.56981 | + | 12.7654i | 0.293555 | + | 0.672795i | ||||
\(361\) | 9.58364 | + | 14.3429i | 0.504402 | + | 0.754891i | ||||
\(362\) | −6.61526 | − | 5.48191i | −0.347690 | − | 0.288123i | ||||
\(363\) | −9.20407 | + | 12.8480i | −0.483088 | + | 0.674347i | ||||
\(364\) | 8.65525 | + | 16.5704i | 0.453659 | + | 0.868525i | ||||
\(365\) | −1.67780 | + | 3.13895i | −0.0878203 | + | 0.164300i | ||||
\(366\) | −3.84159 | − | 5.05466i | −0.200803 | − | 0.264211i | ||||
\(367\) | −10.5719 | − | 4.37902i | −0.551848 | − | 0.228583i | 0.0892937 | − | 0.996005i | \(-0.471539\pi\) |
−0.641142 | + | 0.767422i | \(0.721539\pi\) | |||||||
\(368\) | −1.39762 | − | 2.18044i | −0.0728558 | − | 0.113663i | ||||
\(369\) | −18.8744 | + | 10.9041i | −0.982563 | + | 0.567647i | ||||
\(370\) | −5.50575 | + | 8.15562i | −0.286230 | + | 0.423991i | ||||
\(371\) | 7.29040 | + | 24.0332i | 0.378499 | + | 1.24774i | ||||
\(372\) | 1.27783 | − | 30.3296i | 0.0662526 | − | 1.57252i | ||||
\(373\) | −11.9979 | + | 1.18169i | −0.621226 | + | 0.0611854i | −0.403733 | − | 0.914877i | \(-0.632288\pi\) |
−0.217492 | + | 0.976062i | \(0.569788\pi\) | |||||||
\(374\) | −3.33013 | + | 1.75966i | −0.172197 | + | 0.0909900i | ||||
\(375\) | 2.70821 | − | 20.5929i | 0.139851 | − | 1.06342i | ||||
\(376\) | −12.1924 | − | 30.6665i | −0.628775 | − | 1.58151i | ||||
\(377\) | −5.16475 | − | 25.9649i | −0.265998 | − | 1.33726i | ||||
\(378\) | −2.20010 | − | 23.3787i | −0.113161 | − | 1.20247i | ||||
\(379\) | −8.06678 | + | 26.5926i | −0.414362 | + | 1.36597i | 0.463092 | + | 0.886310i | \(0.346740\pi\) |
−0.877455 | + | 0.479660i | \(0.840760\pi\) | |||||||
\(380\) | 3.09976 | − | 3.04129i | 0.159014 | − | 0.156015i | ||||
\(381\) | 24.6357 | + | 26.2959i | 1.26212 | + | 1.34718i | ||||
\(382\) | −7.06755 | − | 7.13516i | −0.361607 | − | 0.365066i | ||||
\(383\) | −33.3339 | −1.70328 | −0.851641 | − | 0.524126i | \(-0.824392\pi\) | ||||
−0.851641 | + | 0.524126i | \(0.824392\pi\) | |||||||
\(384\) | 19.5534 | + | 1.29058i | 0.997829 | + | 0.0658598i | ||||
\(385\) | −7.18242 | −0.366050 | ||||||||
\(386\) | −20.2166 | − | 20.4100i | −1.02900 | − | 1.03884i | ||||
\(387\) | −7.32412 | + | 7.82424i | −0.372306 | + | 0.397728i | ||||
\(388\) | 4.74354 | + | 4.83474i | 0.240817 | + | 0.245447i | ||||
\(389\) | −3.98639 | + | 13.1414i | −0.202118 | + | 0.666294i | 0.796018 | + | 0.605272i | \(0.206936\pi\) |
−0.998136 | + | 0.0610215i | \(0.980564\pi\) | |||||||
\(390\) | 0.439119 | − | 11.7525i | 0.0222357 | − | 0.595113i | ||||
\(391\) | 0.245672 | + | 1.23508i | 0.0124242 | + | 0.0624606i | ||||
\(392\) | 8.34085 | + | 3.59528i | 0.421276 | + | 0.181589i | ||||
\(393\) | −11.5586 | − | 1.52009i | −0.583056 | − | 0.0766785i | ||||
\(394\) | −16.1523 | + | 8.53500i | −0.813743 | + | 0.429987i | ||||
\(395\) | −17.4876 | + | 1.72238i | −0.879898 | + | 0.0866624i | ||||
\(396\) | 8.21398 | − | 0.192916i | 0.412768 | − | 0.00969437i | ||||
\(397\) | −4.00039 | − | 13.1875i | −0.200774 | − | 0.661863i | −0.998284 | − | 0.0585574i | \(-0.981350\pi\) |
0.797510 | − | 0.603306i | \(-0.206150\pi\) | |||||||
\(398\) | −6.43773 | + | 9.53616i | −0.322694 | + | 0.478004i | ||||
\(399\) | −6.56611 | + | 3.23918i | −0.328717 | + | 0.162162i | ||||
\(400\) | −7.57007 | − | 5.26936i | −0.378504 | − | 0.263468i | ||||
\(401\) | 33.7991 | + | 14.0001i | 1.68785 | + | 0.699130i | 0.999652 | − | 0.0263949i | \(-0.00840273\pi\) |
0.688196 | + | 0.725524i | \(0.258403\pi\) | |||||||
\(402\) | −15.2084 | + | 11.5585i | −0.758526 | + | 0.576488i | ||||
\(403\) | −12.0836 | + | 22.6069i | −0.601929 | + | 1.12613i | ||||
\(404\) | 8.79805 | − | 4.59551i | 0.437720 | − | 0.228635i | ||||
\(405\) | −6.08922 | + | 13.4591i | −0.302576 | + | 0.668786i | ||||
\(406\) | −31.4919 | − | 26.0966i | −1.56292 | − | 1.29515i | ||||
\(407\) | 3.22504 | + | 4.82662i | 0.159859 | + | 0.239247i | ||||
\(408\) | −8.62223 | − | 4.05460i | −0.426864 | − | 0.200733i | ||||
\(409\) | −8.46895 | − | 5.65877i | −0.418763 | − | 0.279808i | 0.328285 | − | 0.944579i | \(-0.393529\pi\) |
−0.747048 | + | 0.664770i | \(0.768529\pi\) | |||||||
\(410\) | −8.02137 | + | 14.8366i | −0.396147 | + | 0.732728i | ||||
\(411\) | −27.6257 | + | 17.1841i | −1.36268 | + | 0.847629i | ||||
\(412\) | −5.37990 | − | 3.66930i | −0.265049 | − | 0.180773i | ||||
\(413\) | −9.24994 | − | 0.911040i | −0.455160 | − | 0.0448293i | ||||
\(414\) | 0.722867 | − | 2.65020i | 0.0355270 | − | 0.130250i | ||||
\(415\) | 14.4617 | + | 14.4617i | 0.709899 | + | 0.709899i | ||||
\(416\) | −14.4035 | − | 8.14538i | −0.706192 | − | 0.399360i | ||||
\(417\) | −18.6082 | − | 16.3144i | −0.911247 | − | 0.798919i | ||||
\(418\) | −0.969079 | − | 2.37143i | −0.0473992 | − | 0.115990i | ||||
\(419\) | 36.7206 | + | 3.61667i | 1.79392 | + | 0.176686i | 0.939421 | − | 0.342766i | \(-0.111364\pi\) |
0.854500 | + | 0.519452i | \(0.173864\pi\) | |||||||
\(420\) | −10.9251 | − | 14.5178i | −0.533089 | − | 0.708398i | ||||
\(421\) | 14.7288 | + | 27.5557i | 0.717838 | + | 1.34298i | 0.930658 | + | 0.365889i | \(0.119235\pi\) |
−0.212820 | + | 0.977091i | \(0.568265\pi\) | |||||||
\(422\) | −0.0720284 | + | 0.0214757i | −0.00350629 | + | 0.00104542i | ||||
\(423\) | 15.4728 | − | 31.3977i | 0.752315 | − | 1.52661i | ||||
\(424\) | −16.9806 | − | 14.3463i | −0.824653 | − | 0.696718i | ||||
\(425\) | 2.49154 | + | 3.72886i | 0.120858 | + | 0.180876i | ||||
\(426\) | 24.2821 | − | 3.89380i | 1.17647 | − | 0.188655i | ||||
\(427\) | 6.40237 | + | 5.25429i | 0.309832 | + | 0.254273i | ||||
\(428\) | 23.0500 | − | 27.5475i | 1.11417 | − | 1.33156i | ||||
\(429\) | −6.31994 | − | 2.86247i | −0.305129 | − | 0.138201i | ||||
\(430\) | −1.65650 | + | 8.12547i | −0.0798837 | + | 0.391845i | ||||
\(431\) | −8.79258 | − | 3.64201i | −0.423524 | − | 0.175429i | 0.160733 | − | 0.986998i | \(-0.448614\pi\) |
−0.584257 | + | 0.811569i | \(0.698614\pi\) | |||||||
\(432\) | 12.8841 | + | 16.3095i | 0.619887 | + | 0.784691i | ||||
\(433\) | 18.6893 | − | 7.74134i | 0.898148 | − | 0.372025i | 0.114641 | − | 0.993407i | \(-0.463428\pi\) |
0.783508 | + | 0.621382i | \(0.213428\pi\) | |||||||
\(434\) | 7.54096 | + | 38.8773i | 0.361978 | + | 1.86617i | ||||
\(435\) | 9.06662 | + | 24.0793i | 0.434711 | + | 1.15451i | ||||
\(436\) | −1.37718 | + | 2.51855i | −0.0659550 | + | 0.120617i | ||||
\(437\) | −0.852385 | + | 0.0839526i | −0.0407751 | + | 0.00401600i | ||||
\(438\) | −1.23002 | + | 5.16716i | −0.0587725 | + | 0.246896i | ||||
\(439\) | 2.33754 | − | 11.7516i | 0.111565 | − | 0.560875i | −0.884055 | − | 0.467383i | \(-0.845197\pi\) |
0.995620 | − | 0.0934920i | \(-0.0298029\pi\) | |||||||
\(440\) | 5.33585 | − | 3.45612i | 0.254377 | − | 0.164764i | ||||
\(441\) | 3.09917 | + | 9.12156i | 0.147580 | + | 0.434360i | ||||
\(442\) | 5.07443 | + | 6.24358i | 0.241366 | + | 0.296977i | ||||
\(443\) | 2.99231 | − | 9.86433i | 0.142169 | − | 0.468668i | −0.856721 | − | 0.515781i | \(-0.827502\pi\) |
0.998890 | + | 0.0471124i | \(0.0150019\pi\) | |||||||
\(444\) | −4.85049 | + | 13.8605i | −0.230194 | + | 0.657790i | ||||
\(445\) | −16.1828 | + | 13.2809i | −0.767138 | + | 0.629574i | ||||
\(446\) | −0.0798316 | + | 16.7706i | −0.00378014 | + | 0.794110i | ||||
\(447\) | 2.38683 | + | 36.3387i | 0.112893 | + | 1.71876i | ||||
\(448\) | −25.2050 | + | 4.26925i | −1.19082 | + | 0.201703i | ||||
\(449\) | 28.1121 | 1.32669 | 0.663347 | − | 0.748312i | \(-0.269136\pi\) | ||||
0.663347 | + | 0.748312i | \(0.269136\pi\) | |||||||
\(450\) | −1.23344 | − | 9.70489i | −0.0581449 | − | 0.457493i | ||||
\(451\) | 6.31207 | + | 7.69128i | 0.297224 | + | 0.362168i | ||||
\(452\) | −10.0041 | − | 24.8177i | −0.470553 | − | 1.16733i | ||||
\(453\) | −5.46395 | + | 23.4483i | −0.256719 | + | 1.10170i | ||||
\(454\) | 14.2019 | + | 17.4740i | 0.666527 | + | 0.820096i | ||||
\(455\) | 2.99319 | + | 15.0478i | 0.140323 | + | 0.705450i | ||||
\(456\) | 3.31933 | − | 5.56595i | 0.155442 | − | 0.260650i | ||||
\(457\) | 29.3791 | + | 5.84387i | 1.37430 | + | 0.273365i | 0.826354 | − | 0.563151i | \(-0.190411\pi\) |
0.547943 | + | 0.836516i | \(0.315411\pi\) | |||||||
\(458\) | 2.84065 | − | 9.20638i | 0.132735 | − | 0.430186i | ||||
\(459\) | −2.93763 | − | 9.66958i | −0.137117 | − | 0.451337i | ||||
\(460\) | −0.597613 | − | 2.03977i | −0.0278638 | − | 0.0951050i | ||||
\(461\) | 1.13305 | + | 3.73515i | 0.0527712 | + | 0.173963i | 0.979365 | − | 0.202101i | \(-0.0647771\pi\) |
−0.926593 | + | 0.376065i | \(0.877277\pi\) | |||||||
\(462\) | −10.3660 | + | 2.72629i | −0.482272 | + | 0.126839i | ||||
\(463\) | −7.52573 | − | 18.1687i | −0.349750 | − | 0.844372i | −0.996649 | − | 0.0817959i | \(-0.973934\pi\) |
0.646899 | − | 0.762576i | \(-0.276066\pi\) | |||||||
\(464\) | 35.9529 | + | 4.23364i | 1.66907 | + | 0.196542i | ||||
\(465\) | 8.00486 | − | 23.5923i | 0.371216 | − | 1.09407i | ||||
\(466\) | 2.45773 | − | 12.0556i | 0.113852 | − | 0.558467i | ||||
\(467\) | −2.49544 | + | 4.66863i | −0.115475 | + | 0.216039i | −0.933019 | − | 0.359828i | \(-0.882835\pi\) |
0.817544 | + | 0.575867i | \(0.195335\pi\) | |||||||
\(468\) | −3.82725 | − | 17.1286i | −0.176915 | − | 0.791768i | ||||
\(469\) | 15.8091 | − | 19.2634i | 0.729995 | − | 0.889501i | ||||
\(470\) | −2.52636 | − | 26.9658i | −0.116532 | − | 1.24384i | ||||
\(471\) | −6.31384 | − | 8.22599i | −0.290926 | − | 0.379034i | ||||
\(472\) | 7.31021 | − | 3.77417i | 0.336479 | − | 0.173720i | ||||
\(473\) | 4.06756 | + | 2.71786i | 0.187027 | + | 0.124967i | ||||
\(474\) | −24.5853 | + | 9.12376i | −1.12924 | + | 0.419068i | ||||
\(475\) | −2.69012 | + | 1.43790i | −0.123431 | + | 0.0659752i | ||||
\(476\) | 12.1673 | + | 2.54089i | 0.557689 | + | 0.116461i | ||||
\(477\) | −0.777992 | − | 23.5653i | −0.0356218 | − | 1.07898i | ||||
\(478\) | −13.9174 | − | 34.0572i | −0.636567 | − | 1.55774i | ||||
\(479\) | 6.62870 | + | 6.62870i | 0.302873 | + | 0.302873i | 0.842137 | − | 0.539264i | \(-0.181297\pi\) |
−0.539264 | + | 0.842137i | \(0.681297\pi\) | |||||||
\(480\) | 15.1021 | + | 5.52832i | 0.689315 | + | 0.252332i | ||||
\(481\) | 8.76817 | − | 8.76817i | 0.399794 | − | 0.399794i | ||||
\(482\) | 32.0490 | + | 13.4542i | 1.45979 | + | 0.612822i | ||||
\(483\) | −0.116757 | + | 3.58174i | −0.00531261 | + | 0.162975i | ||||
\(484\) | 3.38976 | + | 17.9321i | 0.154080 | + | 0.815093i | ||||
\(485\) | 2.62035 | + | 4.90232i | 0.118984 | + | 0.222603i | ||||
\(486\) | −3.67952 | + | 21.7362i | −0.166907 | + | 0.985973i | ||||
\(487\) | −15.7259 | + | 23.5355i | −0.712610 | + | 1.06650i | 0.281652 | + | 0.959517i | \(0.409118\pi\) |
−0.994261 | + | 0.106979i | \(0.965882\pi\) | |||||||
\(488\) | −7.28467 | − | 0.822670i | −0.329761 | − | 0.0372405i | ||||
\(489\) | −17.8314 | − | 23.2317i | −0.806365 | − | 1.05057i | ||||
\(490\) | 5.73953 | + | 4.75621i | 0.259285 | + | 0.214864i | ||||
\(491\) | −8.84131 | − | 7.25588i | −0.399003 | − | 0.327453i | 0.413400 | − | 0.910549i | \(-0.364341\pi\) |
−0.812403 | + | 0.583096i | \(0.801841\pi\) | |||||||
\(492\) | −5.94521 | + | 24.4577i | −0.268031 | + | 1.10264i | ||||
\(493\) | −15.5235 | − | 8.29748i | −0.699143 | − | 0.373700i | ||||
\(494\) | −4.56449 | + | 3.01857i | −0.205366 | + | 0.135812i | ||||
\(495\) | 6.51372 | + | 1.74341i | 0.292770 | + | 0.0783604i | ||||
\(496\) | −24.3096 | − | 25.2534i | −1.09153 | − | 1.13391i | ||||
\(497\) | −29.6400 | + | 12.2773i | −1.32953 | + | 0.550711i | ||||
\(498\) | 26.3613 | + | 15.3826i | 1.18128 | + | 0.689310i | ||||
\(499\) | 9.79938 | − | 2.97261i | 0.438681 | − | 0.133072i | −0.0632162 | − | 0.998000i | \(-0.520136\pi\) |
0.501897 | + | 0.864928i | \(0.332636\pi\) | |||||||
\(500\) | −15.0377 | − | 18.6835i | −0.672508 | − | 0.835549i | ||||
\(501\) | 0.413298 | + | 2.50115i | 0.0184648 | + | 0.111743i | ||||
\(502\) | −17.1320 | + | 9.05266i | −0.764639 | + | 0.404040i | ||||
\(503\) | −0.608647 | + | 3.05987i | −0.0271382 | + | 0.136433i | −0.991979 | − | 0.126401i | \(-0.959657\pi\) |
0.964841 | + | 0.262834i | \(0.0846573\pi\) | |||||||
\(504\) | −21.2783 | − | 16.8060i | −0.947811 | − | 0.748599i | ||||
\(505\) | 7.98961 | − | 1.58923i | 0.355533 | − | 0.0707199i | ||||
\(506\) | −1.24726 | − | 0.128842i | −0.0554475 | − | 0.00572773i | ||||
\(507\) | 1.74660 | − | 7.49548i | 0.0775694 | − | 0.332886i | ||||
\(508\) | 41.6056 | + | 0.396113i | 1.84595 | + | 0.0175747i | ||||
\(509\) | 16.4765 | − | 13.5219i | 0.730309 | − | 0.599349i | −0.193996 | − | 0.981002i | \(-0.562145\pi\) |
0.924306 | + | 0.381653i | \(0.124645\pi\) | |||||||
\(510\) | −5.85515 | − | 5.18289i | −0.259270 | − | 0.229502i | ||||
\(511\) | − | 6.92921i | − | 0.306530i | ||||||
\(512\) | 16.6706 | − | 15.3001i | 0.736742 | − | 0.676174i | ||||
\(513\) | 6.74104 | − | 1.34379i | 0.297624 | − | 0.0593299i | ||||
\(514\) | −2.32900 | − | 2.35127i | −0.102728 | − | 0.103710i | ||||
\(515\) | −3.39045 | − | 4.13128i | −0.149401 | − | 0.182046i | ||||
\(516\) | 0.693498 | + | 12.3559i | 0.0305296 | + | 0.543937i | ||||
\(517\) | −15.2895 | − | 4.63803i | −0.672432 | − | 0.203980i | ||||
\(518\) | 1.96845 | − | 19.0556i | 0.0864887 | − | 0.837257i | ||||
\(519\) | −36.4103 | + | 9.76151i | −1.59823 | + | 0.428483i | ||||
\(520\) | −9.46450 | − | 9.73875i | −0.415046 | − | 0.427072i | ||||
\(521\) | −28.8163 | − | 5.73191i | −1.26246 | − | 0.251120i | −0.481917 | − | 0.876217i | \(-0.660059\pi\) |
−0.780547 | + | 0.625097i | \(0.785059\pi\) | |||||||
\(522\) | 22.2254 | + | 31.3110i | 0.972780 | + | 1.37045i | ||||
\(523\) | −3.08370 | − | 31.3094i | −0.134841 | − | 1.36906i | −0.789784 | − | 0.613385i | \(-0.789808\pi\) |
0.654943 | − | 0.755678i | \(-0.272692\pi\) | |||||||
\(524\) | −10.4869 | + | 8.44055i | −0.458120 | + | 0.368727i | ||||
\(525\) | 4.49722 | + | 11.9438i | 0.196275 | + | 0.521271i | ||||
\(526\) | −8.72877 | + | 12.9299i | −0.380592 | + | 0.563768i | ||||
\(527\) | 6.52224 | + | 15.7461i | 0.284113 | + | 0.685910i | ||||
\(528\) | 6.38911 | − | 7.01342i | 0.278050 | − | 0.305220i | ||||
\(529\) | 8.64129 | − | 20.8619i | 0.375708 | − | 0.907040i | ||||
\(530\) | −10.0633 | − | 15.2172i | −0.437123 | − | 0.660991i | ||||
\(531\) | 8.16761 | + | 3.07149i | 0.354444 | + | 0.133291i | ||||
\(532\) | −2.53106 | + | 8.06650i | −0.109735 | + | 0.349727i | ||||
\(533\) | 13.4834 | − | 16.4296i | 0.584031 | − | 0.711643i | ||||
\(534\) | −18.3147 | + | 25.3103i | −0.792557 | + | 1.09528i | ||||
\(535\) | 24.5103 | − | 16.3773i | 1.05967 | − | 0.708052i | ||||
\(536\) | −2.47524 | + | 21.9180i | −0.106914 | + | 0.946715i | ||||
\(537\) | 5.91263 | − | 10.2443i | 0.255149 | − | 0.442072i | ||||
\(538\) | 9.02963 | − | 16.7015i | 0.389295 | − | 0.720054i | ||||
\(539\) | 3.87813 | − | 2.07291i | 0.167043 | − | 0.0892863i | ||||
\(540\) | 6.38397 | + | 15.8181i | 0.274722 | + | 0.680702i | ||||
\(541\) | −1.18311 | + | 12.0124i | −0.0508661 | + | 0.516452i | 0.935666 | + | 0.352886i | \(0.114800\pi\) |
−0.986532 | + | 0.163566i | \(0.947700\pi\) | |||||||
\(542\) | −0.673439 | + | 1.60418i | −0.0289267 | + | 0.0689056i | ||||
\(543\) | −7.91207 | − | 6.93676i | −0.339540 | − | 0.297685i | ||||
\(544\) | −10.2618 | + | 3.96718i | −0.439972 | + | 0.170091i | ||||
\(545\) | −1.66579 | + | 1.66579i | −0.0713548 | + | 0.0713548i | ||||
\(546\) | 10.0317 | + | 20.5816i | 0.429318 | + | 0.880810i | ||||
\(547\) | 0.243338 | − | 2.47066i | 0.0104044 | − | 0.105638i | −0.988580 | − | 0.150698i | \(-0.951848\pi\) |
0.998984 | + | 0.0450602i | \(0.0143480\pi\) | |||||||
\(548\) | −7.67945 | + | 36.7740i | −0.328050 | + | 1.57091i | ||||
\(549\) | −4.53091 | − | 6.31917i | −0.193374 | − | 0.269696i | ||||
\(550\) | −4.27935 | + | 1.27591i | −0.182472 | + | 0.0544051i | ||||
\(551\) | 6.65136 | − | 9.95446i | 0.283357 | − | 0.424074i | ||||
\(552\) | −1.63676 | − | 2.71707i | −0.0696652 | − | 0.115646i | ||||
\(553\) | 28.4448 | − | 19.0062i | 1.20960 | − | 0.808226i | ||||
\(554\) | −7.46423 | + | 0.699304i | −0.317125 | + | 0.0297106i | ||||
\(555\) | −7.01843 | + | 9.79708i | −0.297916 | + | 0.415863i | ||||
\(556\) | −28.4634 | + | 2.53004i | −1.20712 | + | 0.107297i | ||||
\(557\) | 17.1664 | + | 9.17564i | 0.727365 | + | 0.388784i | 0.793131 | − | 0.609051i | \(-0.208449\pi\) |
−0.0657669 | + | 0.997835i | \(0.520949\pi\) | |||||||
\(558\) | 2.59791 | − | 37.0881i | 0.109978 | − | 1.57007i | ||||
\(559\) | 3.99903 | − | 9.65452i | 0.169141 | − | 0.408343i | ||||
\(560\) | −20.8362 | − | 2.45357i | −0.880490 | − | 0.103682i | ||||
\(561\) | −4.13694 | + | 2.04083i | −0.174662 | + | 0.0861638i | ||||
\(562\) | 5.51153 | + | 28.4145i | 0.232490 | + | 1.19860i | ||||
\(563\) | 13.8732 | − | 4.20839i | 0.584686 | − | 0.177363i | 0.0159361 | − | 0.999873i | \(-0.494927\pi\) |
0.568750 | + | 0.822510i | \(0.307427\pi\) | |||||||
\(564\) | −13.8818 | − | 37.9596i | −0.584530 | − | 1.59839i | ||||
\(565\) | −2.15247 | − | 21.8544i | −0.0905553 | − | 0.919423i | ||||
\(566\) | 3.68907 | + | 1.13827i | 0.155063 | + | 0.0478451i | ||||
\(567\) | −1.89688 | − | 28.6969i | −0.0796616 | − | 1.20516i | ||||
\(568\) | 16.1119 | − | 23.3833i | 0.676042 | − | 0.981143i | ||||
\(569\) | −17.6095 | + | 3.50274i | −0.738228 | + | 0.146843i | −0.549861 | − | 0.835256i | \(-0.685319\pi\) |
−0.188367 | + | 0.982099i | \(0.560319\pi\) | |||||||
\(570\) | 3.89857 | − | 3.61774i | 0.163293 | − | 0.151530i | ||||
\(571\) | −26.8248 | − | 8.13721i | −1.12258 | − | 0.340532i | −0.326185 | − | 0.945306i | \(-0.605763\pi\) |
−0.796397 | + | 0.604774i | \(0.793263\pi\) | |||||||
\(572\) | −7.43030 | + | 2.99518i | −0.310676 | + | 0.125235i | ||||
\(573\) | −8.40946 | − | 8.97620i | −0.351310 | − | 0.374986i | ||||
\(574\) | 0.156303 | − | 32.8353i | 0.00652396 | − | 1.37052i | ||||
\(575\) | 1.49300i | 0.0622622i | ||||||||
\(576\) | 23.8946 | + | 2.24631i | 0.995610 | + | 0.0935964i | ||||
\(577\) | 8.35873i | 0.347978i | 0.984748 | + | 0.173989i | \(0.0556658\pi\) | ||||
−0.984748 | + | 0.173989i | \(0.944334\pi\) | |||||||
\(578\) | −18.6920 | − | 0.0889780i | −0.777485 | − | 0.00370100i | ||||
\(579\) | −24.0552 | − | 25.6763i | −0.999698 | − | 1.06707i | ||||
\(580\) | 27.3391 | + | 11.6304i | 1.13519 | + | 0.482924i | ||||
\(581\) | −38.1021 | − | 11.5582i | −1.58074 | − | 0.479513i | ||||
\(582\) | 5.64264 | + | 6.08066i | 0.233895 | + | 0.252052i | ||||
\(583\) | −10.5556 | + | 2.09965i | −0.437170 | + | 0.0869585i | ||||
\(584\) | 3.33427 | + | 5.14774i | 0.137973 | + | 0.213015i | ||||
\(585\) | 0.938074 | − | 14.3733i | 0.0387846 | − | 0.594264i | ||||
\(586\) | 8.73128 | − | 28.2975i | 0.360686 | − | 1.16896i | ||||
\(587\) | −3.50556 | − | 35.5925i | −0.144690 | − | 1.46906i | −0.743805 | − | 0.668397i | \(-0.766981\pi\) |
0.599115 | − | 0.800663i | \(-0.295519\pi\) | |||||||
\(588\) | 10.0889 | + | 4.68581i | 0.416061 | + | 0.193240i | ||||
\(589\) | −11.0931 | + | 3.36506i | −0.457084 | + | 0.138655i | ||||
\(590\) | 6.62829 | − | 1.28568i | 0.272882 | − | 0.0529305i | ||||
\(591\) | −20.0657 | + | 9.89876i | −0.825392 | + | 0.407180i | ||||
\(592\) | 7.70704 | + | 15.1037i | 0.316757 | + | 0.620759i | ||||
\(593\) | 13.9410 | − | 33.6566i | 0.572489 | − | 1.38211i | −0.326940 | − | 0.945045i | \(-0.606017\pi\) |
0.899429 | − | 0.437066i | \(-0.143983\pi\) | |||||||
\(594\) | 10.0627 | + | 0.0437138i | 0.412878 | + | 0.00179360i | ||||
\(595\) | 8.99651 | + | 4.80874i | 0.368821 | + | 0.197139i | ||||
\(596\) | 32.2502 | + | 26.9850i | 1.32102 | + | 1.10535i | ||||
\(597\) | −8.20647 | + | 11.4555i | −0.335868 | + | 0.468841i | ||||
\(598\) | 0.249846 | + | 2.66681i | 0.0102170 | + | 0.109054i | ||||
\(599\) | 22.2687 | − | 14.8795i | 0.909875 | − | 0.607959i | −0.0100948 | − | 0.999949i | \(-0.503213\pi\) |
0.919969 | + | 0.391990i | \(0.128213\pi\) | |||||||
\(600\) | −9.08826 | − | 6.70908i | −0.371027 | − | 0.273897i | ||||
\(601\) | 16.7498 | − | 25.0678i | 0.683237 | − | 1.02254i | −0.314085 | − | 0.949395i | \(-0.601698\pi\) |
0.997322 | − | 0.0731412i | \(-0.0233024\pi\) | |||||||
\(602\) | −4.61286 | − | 15.4713i | −0.188006 | − | 0.630563i | ||||
\(603\) | −19.0131 | + | 13.6326i | −0.774272 | + | 0.555160i | ||||
\(604\) | 15.2247 | + | 23.2618i | 0.619486 | + | 0.946510i | ||||
\(605\) | −1.46803 | + | 14.9052i | −0.0596840 | + | 0.605982i | ||||
\(606\) | 10.9278 | − | 5.32635i | 0.443911 | − | 0.216368i | ||||
\(607\) | 2.39712 | − | 2.39712i | 0.0972963 | − | 0.0972963i | −0.656783 | − | 0.754079i | \(-0.728083\pi\) |
0.754079 | + | 0.656783i | \(0.228083\pi\) | |||||||
\(608\) | −2.00120 | − | 7.21056i | −0.0811593 | − | 0.292427i | ||||
\(609\) | −37.6653 | − | 33.0224i | −1.52628 | − | 1.33813i | ||||
\(610\) | −5.54746 | − | 2.32883i | −0.224610 | − | 0.0942917i | ||||
\(611\) | −3.34532 | + | 33.9657i | −0.135337 | + | 1.37410i | ||||
\(612\) | −10.4178 | − | 5.25774i | −0.421114 | − | 0.212532i | ||||
\(613\) | −35.8995 | + | 19.1887i | −1.44997 | + | 0.775024i | −0.993404 | − | 0.114667i | \(-0.963420\pi\) |
−0.456564 | + | 0.889691i | \(0.650920\pi\) | |||||||
\(614\) | −20.4717 | − | 11.0680i | −0.826171 | − | 0.446667i | ||||
\(615\) | −10.3259 | + | 17.8907i | −0.416380 | + | 0.721422i | ||||
\(616\) | −5.98963 | + | 10.8309i | −0.241329 | + | 0.436388i | ||||
\(617\) | 24.5063 | − | 16.3746i | 0.986586 | − | 0.659216i | 0.0460608 | − | 0.998939i | \(-0.485333\pi\) |
0.940526 | + | 0.339723i | \(0.110333\pi\) | |||||||
\(618\) | −6.46142 | − | 4.67554i | −0.259917 | − | 0.188078i | ||||
\(619\) | 7.30615 | − | 8.90257i | 0.293659 | − | 0.357824i | −0.605192 | − | 0.796080i | \(-0.706903\pi\) |
0.898850 | + | 0.438255i | \(0.144403\pi\) | |||||||
\(620\) | −13.3187 | − | 25.4986i | −0.534893 | − | 1.02405i | ||||
\(621\) | 0.975292 | − | 3.21993i | 0.0391371 | − | 0.129211i | ||||
\(622\) | 4.86024 | − | 3.21415i | 0.194878 | − | 0.128876i | ||||
\(623\) | 15.5969 | − | 37.6542i | 0.624875 | − | 1.50858i | ||||
\(624\) | −17.3563 | − | 10.4630i | −0.694808 | − | 0.418854i | ||||
\(625\) | −3.12027 | − | 7.53301i | −0.124811 | − | 0.301320i | ||||
\(626\) | −1.78019 | − | 1.20178i | −0.0711506 | − | 0.0480328i | ||||
\(627\) | −1.10561 | − | 2.93629i | −0.0441537 | − | 0.117264i | ||||
\(628\) | −11.9046 | − | 1.28704i | −0.475044 | − | 0.0513587i | ||||
\(629\) | −0.808113 | − | 8.20491i | −0.0322216 | − | 0.327151i | ||||
\(630\) | −12.8806 | − | 18.1460i | −0.513173 | − | 0.722956i | ||||
\(631\) | 29.8126 | + | 5.93009i | 1.18682 | + | 0.236073i | 0.748741 | − | 0.662863i | \(-0.230659\pi\) |
0.438080 | + | 0.898936i | \(0.355659\pi\) | |||||||
\(632\) | −11.9861 | + | 27.8072i | −0.476783 | + | 1.10611i | ||||
\(633\) | −0.0889141 | + | 0.0238377i | −0.00353402 | + | 0.000947462i | ||||
\(634\) | 7.73762 | + | 0.799296i | 0.307300 | + | 0.0317441i | ||||
\(635\) | 32.6766 | + | 9.91233i | 1.29673 | + | 0.393359i | ||||
\(636\) | −20.3001 | − | 18.1424i | −0.804949 | − | 0.719393i | ||||
\(637\) | −5.95907 | − | 7.26115i | −0.236107 | − | 0.287697i | ||||
\(638\) | 12.4521 | − | 12.3341i | 0.492985 | − | 0.488313i | ||||
\(639\) | 29.8605 | − | 3.93964i | 1.18126 | − | 0.155850i | ||||
\(640\) | 16.6599 | − | 8.20342i | 0.658542 | − | 0.324269i | ||||
\(641\) | 2.17863i | 0.0860508i | 0.999074 | + | 0.0430254i | \(0.0136996\pi\) | ||||
−0.999074 | + | 0.0430254i | \(0.986300\pi\) | |||||||
\(642\) | 29.1582 | − | 32.9402i | 1.15078 | − | 1.30004i | ||||
\(643\) | 5.69576 | − | 4.67439i | 0.224619 | − | 0.184340i | −0.515353 | − | 0.856978i | \(-0.672339\pi\) |
0.739971 | + | 0.672638i | \(0.234839\pi\) | |||||||
\(644\) | 2.89804 | + | 2.95375i | 0.114199 | + | 0.116394i | ||||
\(645\) | −2.30489 | + | 9.89132i | −0.0907548 | + | 0.389471i | ||||
\(646\) | −0.373864 | + | 3.61920i | −0.0147095 | + | 0.142396i | ||||
\(647\) | −33.2098 | + | 6.60584i | −1.30561 | + | 0.259703i | −0.798405 | − | 0.602121i | \(-0.794322\pi\) |
−0.507208 | + | 0.861824i | \(0.669322\pi\) | |||||||
\(648\) | 15.2179 | + | 20.4063i | 0.597815 | + | 0.801634i | ||||
\(649\) | 0.777059 | − | 3.90654i | 0.0305023 | − | 0.153345i | ||||
\(650\) | 4.45651 | + | 8.43386i | 0.174799 | + | 0.330803i | ||||
\(651\) | 7.90742 | + | 47.8533i | 0.309916 | + | 1.87552i | ||||
\(652\) | −33.6207 | − | 3.63485i | −1.31669 | − | 0.142352i | ||||
\(653\) | 8.75885 | − | 2.65697i | 0.342760 | − | 0.103975i | −0.114211 | − | 0.993456i | \(-0.536434\pi\) |
0.456972 | + | 0.889481i | \(0.348934\pi\) | |||||||
\(654\) | −1.77186 | + | 3.03646i | −0.0692853 | + | 0.118735i | ||||
\(655\) | −10.2069 | + | 4.22784i | −0.398817 | + | 0.165195i | ||||
\(656\) | 15.6839 | + | 24.4687i | 0.612354 | + | 0.955341i | ||||
\(657\) | −1.68195 | + | 6.28409i | −0.0656190 | + | 0.245166i | ||||
\(658\) | 29.0851 | + | 43.9806i | 1.13385 | + | 1.71454i | ||||
\(659\) | −27.2172 | − | 14.5479i | −1.06023 | − | 0.566705i | −0.153384 | − | 0.988167i | \(-0.549017\pi\) |
−0.906846 | + | 0.421462i | \(0.861517\pi\) | |||||||
\(660\) | 6.65029 | − | 4.04940i | 0.258862 | − | 0.157623i | ||||
\(661\) | −27.3610 | − | 22.4546i | −1.06422 | − | 0.873383i | −0.0719417 | − | 0.997409i | \(-0.522920\pi\) |
−0.992279 | + | 0.124025i | \(0.960420\pi\) | |||||||
\(662\) | 31.5056 | − | 38.0191i | 1.22450 | − | 1.47766i | ||||
\(663\) | 5.99972 | + | 7.81675i | 0.233010 | + | 0.303577i | ||||
\(664\) | 33.8679 | − | 9.74781i | 1.31433 | − | 0.378288i | ||||
\(665\) | −3.85474 | + | 5.76902i | −0.149480 | + | 0.223713i | ||||
\(666\) | −6.41061 | + | 16.8037i | −0.248406 | + | 0.651131i | ||||
\(667\) | −2.76233 | − | 5.16795i | −0.106958 | − | 0.200104i | ||||
\(668\) | 2.41832 | + | 1.64939i | 0.0935677 | + | 0.0638167i | ||||
\(669\) | −0.669200 | + | 20.5290i | −0.0258728 | + | 0.793697i | ||||
\(670\) | −7.00697 | + | 16.6912i | −0.270703 | + | 0.644836i | ||||
\(671\) | −2.50971 | + | 2.50971i | −0.0968863 | + | 0.0968863i | ||||
\(672\) | −31.0032 | + | 4.36784i | −1.19598 | + | 0.168493i | ||||
\(673\) | 19.0520 | + | 19.0520i | 0.734402 | + | 0.734402i | 0.971489 | − | 0.237086i | \(-0.0761924\pi\) |
−0.237086 | + | 0.971489i | \(0.576192\pi\) | |||||||
\(674\) | 42.4061 | − | 17.3292i | 1.63342 | − | 0.667495i | ||||
\(675\) | −1.17937 | − | 11.9234i | −0.0453938 | − | 0.458933i | ||||
\(676\) | −4.86673 | − | 7.43586i | −0.187182 | − | 0.285995i | ||||
\(677\) | 28.3588 | − | 15.1581i | 1.08992 | − | 0.582573i | 0.174328 | − | 0.984688i | \(-0.444225\pi\) |
0.915589 | + | 0.402115i | \(0.131725\pi\) | |||||||
\(678\) | −11.4020 | − | 30.7244i | −0.437893 | − | 1.17997i | ||||
\(679\) | −8.99803 | − | 6.01229i | −0.345313 | − | 0.230731i | ||||
\(680\) | −8.99747 | + | 0.756611i | −0.345037 | + | 0.0290147i | ||||
\(681\) | 16.7915 | + | 21.8768i | 0.643452 | + | 0.838323i | ||||
\(682\) | −16.8967 | + | 1.58300i | −0.647007 | + | 0.0606163i | ||||
\(683\) | −1.53235 | + | 1.86717i | −0.0586338 | + | 0.0714454i | −0.801501 | − | 0.597993i | \(-0.795965\pi\) |
0.742868 | + | 0.669438i | \(0.233465\pi\) | |||||||
\(684\) | 4.25342 | − | 6.70112i | 0.162633 | − | 0.256224i | ||||
\(685\) | −14.5337 | + | 27.1906i | −0.555304 | + | 1.03890i | ||||
\(686\) | 16.7768 | + | 3.42022i | 0.640543 | + | 0.130585i | ||||
\(687\) | 3.79144 | − | 11.1743i | 0.144652 | − | 0.426326i | ||||
\(688\) | 10.8716 | + | 9.27402i | 0.414474 | + | 0.353569i | ||||
\(689\) | 8.79786 | + | 21.2399i | 0.335172 | + | 0.809177i | ||||
\(690\) | −0.662134 | − | 2.51760i | −0.0252070 | − | 0.0958434i | ||||
\(691\) | 12.9095 | + | 42.5570i | 0.491102 | + | 1.61894i | 0.755932 | + | 0.654650i | \(0.227184\pi\) |
−0.264831 | + | 0.964295i | \(0.585316\pi\) | |||||||
\(692\) | −20.8833 | + | 38.1909i | −0.793866 | + | 1.45180i | ||||
\(693\) | −12.7837 | + | 2.98449i | −0.485614 | + | 0.113371i | ||||
\(694\) | −13.1164 | − | 4.04710i | −0.497892 | − | 0.153626i | ||||
\(695\) | −23.0011 | − | 4.57521i | −0.872483 | − | 0.173548i | ||||
\(696\) | 43.8718 | + | 6.40823i | 1.66296 | + | 0.242904i | ||||
\(697\) | −2.75691 | − | 13.8599i | −0.104425 | − | 0.524982i | ||||
\(698\) | 29.7353 | − | 24.1672i | 1.12550 | − | 0.914741i | ||||
\(699\) | 3.41973 | − | 14.6756i | 0.129346 | − | 0.555083i | ||||
\(700\) | 13.5607 | + | 5.76889i | 0.512547 | + | 0.218043i | ||||
\(701\) | 18.3609 | + | 22.3728i | 0.693480 | + | 0.845008i | 0.994070 | − | 0.108745i | \(-0.0346834\pi\) |
−0.300589 | + | 0.953754i | \(0.597183\pi\) | |||||||
\(702\) | −4.10193 | − | 21.1004i | −0.154817 | − | 0.796384i | ||||
\(703\) | 5.60766 | 0.211497 | ||||||||
\(704\) | −0.762001 | − | 10.9285i | −0.0287190 | − | 0.411882i | ||||
\(705\) | −2.17407 | − | 33.0996i | −0.0818803 | − | 1.24660i | ||||
\(706\) | 5.66174 | + | 0.0269511i | 0.213082 | + | 0.00101432i | ||||
\(707\) | −12.2593 | + | 10.0610i | −0.461059 | + | 0.378381i | ||||
\(708\) | 9.07828 | − | 4.37151i | 0.341183 | − | 0.164292i | ||||
\(709\) | −7.25277 | + | 23.9092i | −0.272383 | + | 0.897927i | 0.708892 | + | 0.705317i | \(0.249195\pi\) |
−0.981275 | + | 0.192610i | \(0.938305\pi\) | |||||||
\(710\) | 18.0851 | − | 14.6986i | 0.678723 | − | 0.551628i | ||||
\(711\) | −30.4100 | + | 10.3322i | −1.14046 | + | 0.387488i | ||||
\(712\) | 6.53187 | + | 35.4785i | 0.244792 | + | 1.32961i | ||||
\(713\) | −1.10694 | + | 5.56494i | −0.0414550 | + | 0.208409i | ||||
\(714\) | 14.8095 | + | 3.52534i | 0.554233 | + | 0.131933i | ||||
\(715\) | −6.54312 | + | 0.644441i | −0.244699 | + | 0.0241007i | ||||
\(716\) | −3.84007 | − | 13.1070i | −0.143510 | − | 0.489830i | ||||
\(717\) | −15.8782 | − | 42.1695i | −0.592981 | − | 1.57485i | ||||
\(718\) | 16.6875 | − | 3.23685i | 0.622773 | − | 0.120798i | ||||
\(719\) | 1.35089 | − | 0.559555i | 0.0503795 | − | 0.0208679i | −0.357351 | − | 0.933970i | \(-0.616320\pi\) |
0.407731 | + | 0.913102i | \(0.366320\pi\) | |||||||
\(720\) | 18.3007 | + | 7.28277i | 0.682028 | + | 0.271413i | ||||
\(721\) | 9.61266 | + | 3.98169i | 0.357994 | + | 0.148286i | ||||
\(722\) | 23.9036 | + | 4.87313i | 0.889601 | + | 0.181359i | ||||
\(723\) | 38.7781 | + | 17.5637i | 1.44217 | + | 0.653200i | ||||
\(724\) | −12.1024 | + | 1.07575i | −0.449783 | + | 0.0399801i | ||||
\(725\) | −16.1318 | − | 13.2390i | −0.599121 | − | 0.491686i | ||||
\(726\) | 3.53895 | + | 22.0692i | 0.131343 | + | 0.819065i | ||||
\(727\) | −19.3248 | − | 28.9217i | −0.716718 | − | 1.07264i | −0.993733 | − | 0.111779i | \(-0.964345\pi\) |
0.277015 | − | 0.960866i | \(-0.410655\pi\) | |||||||
\(728\) | 25.1877 | + | 8.03513i | 0.933518 | + | 0.297802i | ||||
\(729\) | −5.24540 | + | 26.4856i | −0.194274 | + | 0.980947i | ||||
\(730\) | 1.43820 | + | 4.82365i | 0.0532302 | + | 0.178531i | ||||
\(731\) | −3.27528 | − | 6.12762i | −0.121141 | − | 0.226638i | ||||
\(732\) | −8.89037 | − | 1.25540i | −0.328598 | − | 0.0464009i | ||||
\(733\) | −46.3118 | − | 4.56131i | −1.71056 | − | 0.168476i | −0.805169 | − | 0.593045i | \(-0.797925\pi\) |
−0.905395 | + | 0.424569i | \(0.860425\pi\) | |||||||
\(734\) | −14.9802 | + | 6.12163i | −0.552930 | + | 0.225954i | ||||
\(735\) | 6.86466 | + | 6.01846i | 0.253207 | + | 0.221994i | ||||
\(736\) | −3.57429 | − | 0.799844i | −0.131750 | − | 0.0294827i | ||||
\(737\) | 7.55119 | + | 7.55119i | 0.278152 | + | 0.278152i | ||||
\(738\) | −8.11195 | + | 29.7403i | −0.298605 | + | 1.09475i | ||||
\(739\) | −43.9587 | − | 4.32955i | −1.61705 | − | 0.159265i | −0.751373 | − | 0.659877i | \(-0.770608\pi\) |
−0.865672 | + | 0.500612i | \(0.833108\pi\) | |||||||
\(740\) | 2.58482 | + | 13.6738i | 0.0950197 | + | 0.502660i | ||||
\(741\) | −5.69103 | + | 3.54000i | −0.209065 | + | 0.130045i | ||||
\(742\) | 31.2436 | + | 16.8917i | 1.14699 | + | 0.620115i | ||||
\(743\) | 22.8742 | + | 15.2841i | 0.839175 | + | 0.560719i | 0.899230 | − | 0.437477i | \(-0.144128\pi\) |
−0.0600553 | + | 0.998195i | \(0.519128\pi\) | |||||||
\(744\) | −28.9010 | − | 31.7454i | −1.05956 | − | 1.16384i | ||||
\(745\) | 19.1731 | + | 28.6946i | 0.702448 | + | 1.05129i | ||||
\(746\) | −10.8788 | + | 13.1279i | −0.398301 | + | 0.480647i | ||||
\(747\) | 31.7492 | + | 19.7307i | 1.16164 | + | 0.721909i | ||||
\(748\) | −1.59468 | + | 5.08226i | −0.0583072 | + | 0.185826i | ||||
\(749\) | −27.0532 | + | 50.6130i | −0.988503 | + | 1.84936i | ||||
\(750\) | −17.7736 | − | 23.3860i | −0.649001 | − | 0.853937i | ||||
\(751\) | −37.1395 | − | 15.3837i | −1.35524 | − | 0.561359i | −0.417493 | − | 0.908680i | \(-0.637091\pi\) |
−0.937746 | + | 0.347321i | \(0.887091\pi\) | |||||||
\(752\) | −42.7705 | − | 18.6779i | −1.55968 | − | 0.681114i | ||||
\(753\) | −21.2827 | + | 10.4991i | −0.775584 | + | 0.382609i | ||||
\(754\) | −31.0303 | − | 20.9481i | −1.13006 | − | 0.762886i | ||||
\(755\) | 6.62318 | + | 21.8337i | 0.241042 | + | 0.794610i | ||||
\(756\) | −25.4777 | − | 21.3002i | −0.926617 | − | 0.774679i | ||||
\(757\) | −8.76389 | + | 0.863168i | −0.318529 | + | 0.0313724i | −0.256018 | − | 0.966672i | \(-0.582411\pi\) |
−0.0625107 | + | 0.998044i | \(0.519911\pi\) | |||||||
\(758\) | 18.3606 | + | 34.7472i | 0.666888 | + | 1.26207i | ||||
\(759\) | −1.52259 | − | 0.200238i | −0.0552666 | − | 0.00726819i | ||||
\(760\) | 0.0876985 | − | 6.14070i | 0.00318116 | − | 0.222747i | ||||
\(761\) | −9.49264 | − | 47.7227i | −0.344108 | − | 1.72995i | −0.634396 | − | 0.773008i | \(-0.718751\pi\) |
0.290288 | − | 0.956939i | \(-0.406249\pi\) | |||||||
\(762\) | 50.9231 | + | 1.90268i | 1.84475 | + | 0.0689268i | ||||
\(763\) | 1.33134 | − | 4.38885i | 0.0481978 | − | 0.158887i | ||||
\(764\) | −14.2022 | − | 0.135214i | −0.513818 | − | 0.00489189i | ||||
\(765\) | −6.99168 | − | 6.54478i | −0.252785 | − | 0.236627i | ||||
\(766\) | −33.4922 | + | 33.1748i | −1.21012 | + | 1.19866i | ||||
\(767\) | −8.50836 | −0.307219 | ||||||||
\(768\) | 20.9307 | − | 18.1634i | 0.755270 | − | 0.655414i | ||||
\(769\) | −19.3217 | −0.696758 | −0.348379 | − | 0.937354i | \(-0.613268\pi\) | ||||
−0.348379 | + | 0.937354i | \(0.613268\pi\) | |||||||
\(770\) | −7.21653 | + | 7.14815i | −0.260066 | + | 0.257601i | ||||
\(771\) | −2.77120 | − | 2.95796i | −0.0998023 | − | 0.106528i | ||||
\(772\) | −40.6253 | − | 0.386779i | −1.46214 | − | 0.0139205i | ||||
\(773\) | 4.41983 | − | 14.5702i | 0.158970 | − | 0.524054i | −0.840883 | − | 0.541218i | \(-0.817964\pi\) |
0.999853 | + | 0.0171633i | \(0.00546353\pi\) | |||||||
\(774\) | 0.427998 | + | 15.1506i | 0.0153841 | + | 0.544576i | ||||
\(775\) | 3.94213 | + | 19.8184i | 0.141606 | + | 0.711899i | ||||
\(776\) | 9.57774 | + | 0.136785i | 0.343821 | + | 0.00491028i | ||||
\(777\) | 3.05924 | − | 23.2622i | 0.109750 | − | 0.834526i | ||||
\(778\) | 9.07334 | + | 17.1711i | 0.325295 | + | 0.615615i | ||||
\(779\) | 9.56538 | − | 0.942108i | 0.342715 | − | 0.0337545i | ||||
\(780\) | −11.2553 | − | 12.2454i | −0.403003 | − | 0.438455i | ||||
\(781\) | −3.99089 | − | 13.1562i | −0.142805 | − | 0.470766i | ||||
\(782\) | 1.47602 | + | 0.996443i | 0.0527825 | + | 0.0356327i | ||||
\(783\) | 26.1430 | + | 39.0905i | 0.934274 | + | 1.39698i | ||||
\(784\) | 11.9586 | − | 4.68869i | 0.427092 | − | 0.167453i | ||||
\(785\) | −9.07888 | − | 3.76060i | −0.324039 | − | 0.134221i | ||||
\(786\) | −13.1264 | + | 9.97617i | −0.468202 | + | 0.355838i | ||||
\(787\) | 6.84719 | − | 12.8102i | 0.244076 | − | 0.456634i | −0.729817 | − | 0.683643i | \(-0.760395\pi\) |
0.973893 | + | 0.227009i | \(0.0728947\pi\) | |||||||
\(788\) | −7.73477 | + | 24.6508i | −0.275540 | + | 0.878149i | ||||
\(789\) | −11.1270 | + | 15.5322i | −0.396130 | + | 0.552961i | ||||
\(790\) | −15.8565 | + | 19.1348i | −0.564149 | + | 0.680784i | ||||
\(791\) | 23.7522 | + | 35.5477i | 0.844531 | + | 1.26393i | ||||
\(792\) | 8.06099 | − | 8.36862i | 0.286435 | − | 0.297366i | ||||
\(793\) | 6.30394 | + | 4.21216i | 0.223860 | + | 0.149578i | ||||
\(794\) | −17.1440 | − | 9.26885i | −0.608418 | − | 0.328939i | ||||
\(795\) | −11.8017 | − | 18.9728i | −0.418564 | − | 0.672897i | ||||
\(796\) | 3.02236 | + | 15.9884i | 0.107125 | + | 0.566696i | ||||
\(797\) | −8.26177 | − | 0.813713i | −0.292647 | − | 0.0288232i | −0.0493716 | − | 0.998780i | \(-0.515722\pi\) |
−0.243275 | + | 0.969957i | \(0.578222\pi\) | |||||||
\(798\) | −3.37357 | + | 9.78934i | −0.119423 | + | 0.346539i | ||||
\(799\) | 16.0460 | + | 16.0460i | 0.567668 | + | 0.567668i | ||||
\(800\) | −12.8502 | + | 2.23956i | −0.454325 | + | 0.0791805i | ||||
\(801\) | −23.2847 | + | 30.3626i | −0.822723 | + | 1.07281i | ||||
\(802\) | 47.8929 | − | 19.5713i | 1.69116 | − | 0.691087i | ||||
\(803\) | 2.95509 | + | 0.291051i | 0.104283 | + | 0.0102710i | ||||
\(804\) | −3.77723 | + | 26.7493i | −0.133213 | + | 0.943374i | ||||
\(805\) | 1.60088 | + | 2.99504i | 0.0564238 | + | 0.105561i | ||||
\(806\) | 10.3580 | + | 34.7402i | 0.364845 | + | 1.22367i | ||||
\(807\) | 11.6238 | − | 20.1395i | 0.409178 | − | 0.708944i | ||||
\(808\) | 4.26625 | − | 13.3734i | 0.150086 | − | 0.470475i | ||||
\(809\) | 8.88995 | + | 13.3047i | 0.312554 | + | 0.467770i | 0.954174 | − | 0.299253i | \(-0.0967373\pi\) |
−0.641620 | + | 0.767023i | \(0.721737\pi\) | |||||||
\(810\) | 7.27670 | + | 19.5831i | 0.255677 | + | 0.688082i | ||||
\(811\) | 40.4820 | + | 33.2227i | 1.42151 | + | 1.16661i | 0.960181 | + | 0.279379i | \(0.0901285\pi\) |
0.461333 | + | 0.887227i | \(0.347371\pi\) | |||||||
\(812\) | −57.6135 | + | 5.12111i | −2.02184 | + | 0.179716i | ||||
\(813\) | −0.879135 | + | 1.94101i | −0.0308326 | + | 0.0680741i | ||||
\(814\) | 8.04395 | + | 1.63988i | 0.281940 | + | 0.0574779i | ||||
\(815\) | −25.6404 | − | 10.6206i | −0.898144 | − | 0.372023i | ||||
\(816\) | −12.6984 | + | 4.50723i | −0.444534 | + | 0.157784i | ||||
\(817\) | 4.36605 | − | 1.80848i | 0.152749 | − | 0.0632706i | ||||
\(818\) | −14.1409 | + | 2.74290i | −0.494426 | + | 0.0959031i | ||||
\(819\) | 11.5802 | + | 25.5393i | 0.404646 | + | 0.892414i | ||||
\(820\) | 6.70635 | + | 22.8902i | 0.234196 | + | 0.799359i | ||||
\(821\) | 5.90858 | − | 0.581944i | 0.206211 | − | 0.0203100i | 0.00561573 | − | 0.999984i | \(-0.498212\pi\) |
0.200595 | + | 0.979674i | \(0.435712\pi\) | |||||||
\(822\) | −10.6548 | + | 44.7596i | −0.371629 | + | 1.56117i | ||||
\(823\) | 3.37659 | − | 16.9753i | 0.117701 | − | 0.591720i | −0.876247 | − | 0.481863i | \(-0.839960\pi\) |
0.993947 | − | 0.109858i | \(-0.0350396\pi\) | |||||||
\(824\) | −9.05724 | + | 1.66751i | −0.315524 | + | 0.0580904i | ||||
\(825\) | −5.28256 | + | 1.41624i | −0.183915 | + | 0.0493072i | ||||
\(826\) | −10.2006 | + | 8.29044i | −0.354923 | + | 0.288461i | ||||
\(827\) | −3.39786 | + | 11.2013i | −0.118155 | + | 0.389506i | −0.995991 | − | 0.0894565i | \(-0.971487\pi\) |
0.877835 | + | 0.478962i | \(0.158987\pi\) | |||||||
\(828\) | −1.91125 | − | 3.38220i | −0.0664206 | − | 0.117540i | ||||
\(829\) | 16.5588 | − | 13.5894i | 0.575110 | − | 0.471980i | −0.301311 | − | 0.953526i | \(-0.597424\pi\) |
0.876421 | + | 0.481545i | \(0.159924\pi\) | |||||||
\(830\) | 28.9231 | + | 0.137680i | 1.00394 | + | 0.00477896i | ||||
\(831\) | −9.16207 | + | 0.601790i | −0.317829 | + | 0.0208759i | ||||
\(832\) | −22.5785 | + | 6.15076i | −0.782768 | + | 0.213239i | ||||
\(833\) | −6.24549 | −0.216393 | ||||||||
\(834\) | −34.9331 | + | 2.12755i | −1.20963 | + | 0.0736710i | ||||
\(835\) | 1.52404 | + | 1.85705i | 0.0527417 | + | 0.0642660i | ||||
\(836\) | −3.33380 | − | 1.41824i | −0.115302 | − | 0.0490507i | ||||
\(837\) | 4.44434 | − | 45.3174i | 0.153619 | − | 1.56640i | ||||
\(838\) | 40.4944 | − | 32.9116i | 1.39886 | − | 1.13691i | ||||
\(839\) | 1.50037 | + | 7.54288i | 0.0517986 | + | 0.260409i | 0.998003 | − | 0.0631590i | \(-0.0201175\pi\) |
−0.946205 | + | 0.323568i | \(0.895118\pi\) | |||||||
\(840\) | −25.4255 | − | 3.71384i | −0.877264 | − | 0.128140i | ||||
\(841\) | 51.8917 | + | 10.3219i | 1.78937 | + | 0.355928i | ||||
\(842\) | 42.2229 | + | 13.0280i | 1.45510 | + | 0.448974i | ||||
\(843\) | 5.77936 | + | 34.9749i | 0.199052 | + | 1.20460i | ||||
\(844\) | −0.0509972 | + | 0.0932624i | −0.00175540 | + | 0.00321022i | ||||
\(845\) | −2.11716 | − | 6.97935i | −0.0728326 | − | 0.240097i | ||||
\(846\) | −15.7016 | − | 46.9458i | −0.539833 | − | 1.61403i | ||||
\(847\) | −11.1584 | − | 26.9388i | −0.383408 | − | 0.925628i | ||||
\(848\) | −31.3391 | + | 2.48518i | −1.07619 | + | 0.0853415i | ||||
\(849\) | 4.47763 | + | 1.51926i | 0.153672 | + | 0.0521408i | ||||
\(850\) | 6.21444 | + | 1.26691i | 0.213154 | + | 0.0434547i | ||||
\(851\) | 1.29386 | − | 2.42063i | 0.0443528 | − | 0.0829783i | ||||
\(852\) | 20.5222 | − | 28.0785i | 0.703078 | − | 0.961954i | ||||
\(853\) | 17.8301 | − | 21.7260i | 0.610491 | − | 0.743885i | −0.372401 | − | 0.928072i | \(-0.621465\pi\) |
0.982891 | + | 0.184187i | \(0.0589652\pi\) | |||||||
\(854\) | 11.6620 | − | 1.09258i | 0.399065 | − | 0.0373873i | ||||
\(855\) | 4.89619 | − | 4.29624i | 0.167446 | − | 0.146928i | ||||
\(856\) | −4.25658 | − | 50.6184i | −0.145487 | − | 1.73010i | ||||
\(857\) | 38.0079 | + | 25.3961i | 1.29833 | + | 0.867513i | 0.996313 | − | 0.0857908i | \(-0.0273417\pi\) |
0.302012 | + | 0.953304i | \(0.402342\pi\) | |||||||
\(858\) | −9.19876 | + | 3.41372i | −0.314041 | + | 0.116542i | ||||
\(859\) | 7.58555 | − | 4.05456i | 0.258816 | − | 0.138340i | −0.336886 | − | 0.941545i | \(-0.609374\pi\) |
0.595702 | + | 0.803205i | \(0.296874\pi\) | |||||||
\(860\) | 6.42233 | + | 9.81265i | 0.218999 | + | 0.334609i | ||||
\(861\) | 1.31023 | − | 40.1939i | 0.0446526 | − | 1.36980i | ||||
\(862\) | −12.4590 | + | 5.09133i | −0.424354 | + | 0.173411i | ||||
\(863\) | 13.0739 | + | 13.0739i | 0.445041 | + | 0.445041i | 0.893702 | − | 0.448661i | \(-0.148099\pi\) |
−0.448661 | + | 0.893702i | \(0.648099\pi\) | |||||||
\(864\) | 29.1770 | + | 3.56432i | 0.992621 | + | 0.121260i | ||||
\(865\) | −25.2598 | + | 25.2598i | −0.858860 | + | 0.858860i | ||||
\(866\) | 11.0736 | − | 26.3782i | 0.376296 | − | 0.896367i | ||||
\(867\) | −22.8810 | − | 0.745871i | −0.777081 | − | 0.0253311i | ||||
\(868\) | 46.2685 | + | 31.5569i | 1.57046 | + | 1.07111i | ||||
\(869\) | 6.91077 | + | 12.9291i | 0.234432 | + | 0.438591i | ||||
\(870\) | 33.0741 | + | 15.1703i | 1.12132 | + | 0.514321i | ||||
\(871\) | 12.6735 | − | 18.9672i | 0.429425 | − | 0.642681i | ||||
\(872\) | 1.12281 | + | 3.90112i | 0.0380233 | + | 0.132109i | ||||
\(873\) | 6.70091 | + | 7.63665i | 0.226792 | + | 0.258462i | ||||
\(874\) | −0.772881 | + | 0.932669i | −0.0261431 | + | 0.0315480i | ||||
\(875\) | 29.6214 | + | 24.3097i | 1.00139 | + | 0.821816i | ||||
\(876\) | 3.90664 | + | 6.41584i | 0.131993 | + | 0.216771i | ||||
\(877\) | 14.9510 | + | 7.99146i | 0.504859 | + | 0.269853i | 0.704104 | − | 0.710097i | \(-0.251349\pi\) |
−0.199245 | + | 0.979950i | \(0.563849\pi\) | |||||||
\(878\) | −9.34691 | − | 14.1338i | −0.315443 | − | 0.476993i | ||||
\(879\) | 11.6537 | − | 34.3463i | 0.393069 | − | 1.15847i | ||||
\(880\) | 1.92156 | − | 8.78292i | 0.0647759 | − | 0.296072i | ||||
\(881\) | −9.51817 | + | 3.94255i | −0.320675 | + | 0.132828i | −0.537214 | − | 0.843446i | \(-0.680523\pi\) |
0.216539 | + | 0.976274i | \(0.430523\pi\) | |||||||
\(882\) | 12.1919 | + | 6.08049i | 0.410524 | + | 0.204741i | ||||
\(883\) | −33.2289 | + | 10.0799i | −1.11824 | + | 0.339214i | −0.794701 | − | 0.607001i | \(-0.792373\pi\) |
−0.323539 | + | 0.946215i | \(0.604873\pi\) | |||||||
\(884\) | 11.3123 | + | 1.22301i | 0.380474 | + | 0.0411344i | ||||
\(885\) | 8.15863 | − | 1.34816i | 0.274249 | − | 0.0453178i | ||||
\(886\) | −6.81074 | − | 12.8892i | −0.228811 | − | 0.433021i | ||||
\(887\) | −3.99999 | + | 20.1093i | −0.134307 | + | 0.675204i | 0.853697 | + | 0.520771i | \(0.174355\pi\) |
−0.988003 | + | 0.154434i | \(0.950645\pi\) | |||||||
\(888\) | 8.92083 | + | 18.7537i | 0.299364 | + | 0.629332i | ||||
\(889\) | −65.2011 | + | 12.9693i | −2.18677 | + | 0.434976i | ||||
\(890\) | −3.04214 | + | 29.4495i | −0.101973 | + | 0.987151i | ||||
\(891\) | 12.3180 | + | 0.396408i | 0.412668 | + | 0.0132802i | ||||
\(892\) | 16.6103 | + | 16.9297i | 0.556156 | + | 0.566847i | ||||
\(893\) | −11.9311 | + | 9.79158i | −0.399258 | + | 0.327663i | ||||
\(894\) | 38.5635 | + | 34.1359i | 1.28976 | + | 1.14167i | ||||
\(895\) | − | 11.2089i | − | 0.374673i | ||||||
\(896\) | −21.0758 | + | 29.3743i | −0.704094 | + | 0.981325i | ||||
\(897\) | 0.215006 | + | 3.27341i | 0.00717885 | + | 0.109296i | ||||
\(898\) | 28.2456 | − | 27.9780i | 0.942569 | − | 0.933638i | ||||
\(899\) | −50.3135 | − | 61.3072i | −1.67805 | − | 2.04471i | ||||
\(900\) | −10.8979 | − | 8.52342i | −0.363263 | − | 0.284114i | ||||
\(901\) | 14.6275 | + | 4.43719i | 0.487311 | + | 0.147824i | ||||
\(902\) | 13.9966 | + | 1.44585i | 0.466037 | + | 0.0481416i | ||||
\(903\) | −5.12019 | − | 19.0982i | −0.170389 | − | 0.635549i | ||||
\(904\) | −34.7508 | − | 14.9792i | −1.15580 | − | 0.498200i | ||||
\(905\) | −9.77992 | − | 1.94535i | −0.325095 | − | 0.0646655i | ||||
\(906\) | 17.8465 | + | 28.9976i | 0.592911 | + | 0.963379i | ||||
\(907\) | 4.37494 | + | 44.4195i | 0.145268 | + | 1.47493i | 0.740871 | + | 0.671648i | \(0.234413\pi\) |
−0.595603 | + | 0.803279i | \(0.703087\pi\) | |||||||
\(908\) | 31.6600 | + | 3.42287i | 1.05067 | + | 0.113592i | ||||
\(909\) | 13.5601 | − | 6.14852i | 0.449759 | − | 0.203934i | ||||
\(910\) | 17.9834 | + | 12.1403i | 0.596143 | + | 0.402448i | ||||
\(911\) | 4.48722 | + | 10.8331i | 0.148668 | + | 0.358917i | 0.980617 | − | 0.195936i | \(-0.0627745\pi\) |
−0.831948 | + | 0.554853i | \(0.812775\pi\) | |||||||
\(912\) | −2.20431 | − | 8.89587i | −0.0729919 | − | 0.294572i | ||||
\(913\) | 6.52961 | − | 15.7639i | 0.216099 | − | 0.521708i | ||||
\(914\) | 35.3346 | − | 23.3673i | 1.16876 | − | 0.772922i | ||||
\(915\) | −6.71224 | − | 3.04016i | −0.221900 | − | 0.100504i | ||||
\(916\) | −6.30831 | − | 12.0772i | −0.208432 | − | 0.399042i | ||||
\(917\) | 13.6448 | − | 16.6262i | 0.450591 | − | 0.549046i | ||||
\(918\) | −12.5750 | − | 6.79189i | −0.415038 | − | 0.224166i | ||||
\(919\) | −41.6637 | + | 27.8388i | −1.37436 | + | 0.918318i | −0.999960 | − | 0.00894963i | \(-0.997151\pi\) |
−0.374400 | + | 0.927267i | \(0.622151\pi\) | |||||||
\(920\) | −2.63049 | − | 1.45470i | −0.0867248 | − | 0.0479600i | ||||
\(921\) | −24.6858 | − | 14.2478i | −0.813424 | − | 0.469480i | ||||
\(922\) | 4.85575 | + | 2.62525i | 0.159916 | + | 0.0864580i | ||||
\(923\) | −25.9002 | + | 13.8439i | −0.852514 | + | 0.455678i | ||||
\(924\) | −7.70199 | + | 13.0558i | −0.253377 | + | 0.429505i | ||||
\(925\) | 0.958099 | − | 9.72774i | 0.0315021 | − | 0.319846i | ||||
\(926\) | −25.6435 | − | 10.7652i | −0.842697 | − | 0.353766i | ||||
\(927\) | −7.75121 | − | 5.94430i | −0.254583 | − | 0.195236i | ||||
\(928\) | 40.3371 | − | 31.5276i | 1.32413 | − | 1.03494i | ||||
\(929\) | 12.6355 | − | 12.6355i | 0.414556 | − | 0.414556i | −0.468766 | − | 0.883322i | \(-0.655301\pi\) |
0.883322 | + | 0.468766i | \(0.155301\pi\) | |||||||
\(930\) | −15.4369 | − | 31.6710i | −0.506195 | − | 1.03853i | ||||
\(931\) | 0.416371 | − | 4.22748i | 0.0136460 | − | 0.138550i | ||||
\(932\) | −9.52872 | − | 14.5589i | −0.312124 | − | 0.476893i | ||||
\(933\) | 6.05977 | − | 3.76938i | 0.198388 | − | 0.123404i | ||||
\(934\) | 2.13907 | + | 7.17434i | 0.0699925 | + | 0.234751i | ||||
\(935\) | −2.42866 | + | 3.63474i | −0.0794256 | + | 0.118869i | ||||
\(936\) | −20.8923 | − | 13.4009i | −0.682885 | − | 0.438023i | ||||
\(937\) | 0.593809 | − | 0.396770i | 0.0193989 | − | 0.0129619i | −0.545833 | − | 0.837894i | \(-0.683787\pi\) |
0.565232 | + | 0.824932i | \(0.308787\pi\) | |||||||
\(938\) | −3.28735 | − | 35.0885i | −0.107336 | − | 1.14568i | ||||
\(939\) | −2.13848 | − | 1.53196i | −0.0697866 | − | 0.0499938i | ||||
\(940\) | −29.3755 | − | 24.5796i | −0.958124 | − | 0.801698i | ||||
\(941\) | −16.1543 | − | 8.63465i | −0.526615 | − | 0.281481i | 0.186589 | − | 0.982438i | \(-0.440257\pi\) |
−0.713204 | + | 0.700957i | \(0.752757\pi\) | |||||||
\(942\) | −14.5306 | − | 1.98134i | −0.473431 | − | 0.0645557i | ||||
\(943\) | 1.80035 | − | 4.34642i | 0.0586273 | − | 0.141539i | ||||
\(944\) | 3.58875 | − | 11.0674i | 0.116804 | − | 0.360214i | ||||
\(945\) | −15.1509 | − | 22.6546i | −0.492860 | − | 0.736954i | ||||
\(946\) | 6.79177 | − | 1.31739i | 0.220820 | − | 0.0428320i | ||||
\(947\) | −22.1039 | + | 6.70514i | −0.718280 | + | 0.217888i | −0.628206 | − | 0.778047i | \(-0.716210\pi\) |
−0.0900741 | + | 0.995935i | \(0.528710\pi\) | |||||||
\(948\) | −15.6218 | + | 33.6351i | −0.507373 | + | 1.09242i | ||||
\(949\) | −0.621722 | − | 6.31245i | −0.0201819 | − | 0.204911i | ||||
\(950\) | −1.27185 | + | 4.12200i | −0.0412644 | + | 0.133735i | ||||
\(951\) | 9.44570 | + | 1.24222i | 0.306298 | + | 0.0402817i | ||||
\(952\) | 14.7539 | − | 9.55633i | 0.478176 | − | 0.309722i | ||||
\(953\) | 15.1762 | − | 3.01873i | 0.491605 | − | 0.0977864i | 0.0569384 | − | 0.998378i | \(-0.481866\pi\) |
0.434667 | + | 0.900591i | \(0.356866\pi\) | |||||||
\(954\) | −24.2345 | − | 22.9029i | −0.784622 | − | 0.741510i | ||||
\(955\) | −11.1543 | − | 3.38361i | −0.360943 | − | 0.109491i | ||||
\(956\) | −47.8782 | − | 20.3680i | −1.54849 | − | 0.658747i | ||||
\(957\) | 15.6651 | − | 14.6760i | 0.506380 | − | 0.474408i | ||||
\(958\) | 13.2572 | + | 0.0631074i | 0.428322 | + | 0.00203891i | ||||
\(959\) | − | 60.0231i | − | 1.93825i | ||||||
\(960\) | 20.6758 | − | 9.47551i | 0.667309 | − | 0.305821i | ||||
\(961\) | 45.7933i | 1.47720i | ||||||||
\(962\) | 0.0834759 | − | 17.5361i | 0.00269137 | − | 0.565388i | ||||
\(963\) | 36.8199 | − | 39.3341i | 1.18651 | − | 1.26752i | ||||
\(964\) | 45.5912 | − | 18.3779i | 1.46839 | − | 0.591914i | ||||
\(965\) | −31.9066 | − | 9.67877i | −1.02711 | − | 0.311570i | ||||
\(966\) | 3.44734 | + | 3.71495i | 0.110916 | + | 0.119526i | ||||
\(967\) | 16.0938 | − | 3.20125i | 0.517540 | − | 0.102945i | 0.0705926 | − | 0.997505i | \(-0.477511\pi\) |
0.446948 | + | 0.894560i | \(0.352511\pi\) | |||||||
\(968\) | 21.2523 | + | 14.6436i | 0.683076 | + | 0.470664i | ||||
\(969\) | −0.581037 | + | 4.41815i | −0.0186656 | + | 0.141931i | ||||
\(970\) | 7.51172 | + | 2.31776i | 0.241187 | + | 0.0744188i | ||||
\(971\) | 3.09107 | + | 31.3841i | 0.0991971 | + | 1.00717i | 0.907967 | + | 0.419041i | \(0.137634\pi\) |
−0.808770 | + | 0.588125i | \(0.799866\pi\) | |||||||
\(972\) | 17.9355 | + | 25.5014i | 0.575280 | + | 0.817956i | ||||
\(973\) | 43.6907 | − | 13.2534i | 1.40066 | − | 0.424886i | ||||
\(974\) | 7.62261 | + | 39.2982i | 0.244244 | + | 1.25919i | ||||
\(975\) | 5.16858 | + | 10.4772i | 0.165527 | + | 0.335539i | ||||
\(976\) | −8.13801 | + | 6.42333i | −0.260491 | + | 0.205606i | ||||
\(977\) | 6.01070 | − | 14.5111i | 0.192299 | − | 0.464252i | −0.798094 | − | 0.602534i | \(-0.794158\pi\) |
0.990393 | + | 0.138282i | \(0.0441580\pi\) | |||||||
\(978\) | −41.0369 | − | 5.59567i | −1.31222 | − | 0.178930i | ||||
\(979\) | 15.4032 | + | 8.23318i | 0.492288 | + | 0.263133i | ||||
\(980\) | 10.5003 | − | 0.933344i | 0.335420 | − | 0.0298146i | ||||
\(981\) | −2.27271 | + | 3.65707i | −0.0725620 | + | 0.116761i | ||||
\(982\) | −16.1046 | + | 1.50879i | −0.513917 | + | 0.0481475i | ||||
\(983\) | 17.2751 | − | 11.5429i | 0.550991 | − | 0.368161i | −0.248692 | − | 0.968583i | \(-0.580001\pi\) |
0.799683 | + | 0.600422i | \(0.205001\pi\) | |||||||
\(984\) | 18.3676 | + | 30.4907i | 0.585537 | + | 0.972008i | ||||
\(985\) | −11.7799 | + | 17.6298i | −0.375338 | + | 0.561733i | ||||
\(986\) | −23.8551 | + | 7.11254i | −0.759701 | + | 0.226509i | ||||
\(987\) | 34.1093 | + | 54.8353i | 1.08571 | + | 1.74543i | ||||
\(988\) | −1.58200 | + | 7.57561i | −0.0503302 | + | 0.241012i | ||||
\(989\) | 0.226722 | − | 2.30194i | 0.00720932 | − | 0.0731975i | ||||
\(990\) | 8.27974 | − | 4.73095i | 0.263148 | − | 0.150359i | ||||
\(991\) | 15.5514 | − | 15.5514i | 0.494008 | − | 0.494008i | −0.415559 | − | 0.909566i | \(-0.636414\pi\) |
0.909566 | + | 0.415559i | \(0.136414\pi\) | |||||||
\(992\) | −49.5580 | − | 1.17975i | −1.57347 | − | 0.0374570i | ||||
\(993\) | 39.8669 | − | 45.4722i | 1.26514 | − | 1.44302i | ||||
\(994\) | −17.5620 | + | 41.8341i | −0.557034 | + | 1.32690i | ||||
\(995\) | −1.30892 | + | 13.2897i | −0.0414955 | + | 0.421310i | ||||
\(996\) | 41.7957 | − | 10.7799i | 1.32435 | − | 0.341574i | ||||
\(997\) | −19.6477 | + | 10.5019i | −0.622248 | + | 0.332599i | −0.752213 | − | 0.658920i | \(-0.771014\pi\) |
0.129965 | + | 0.991519i | \(0.458514\pi\) | |||||||
\(998\) | 6.88749 | − | 12.7393i | 0.218020 | − | 0.403257i | ||||
\(999\) | −8.42092 | + | 20.3539i | −0.266426 | + | 0.643967i |
(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 | 384.2.w.a.131.46 | yes | 992 | |
3.2 | odd | 2 | inner | 384.2.w.a.131.17 | ✓ | 992 | |
128.43 | odd | 32 | inner | 384.2.w.a.299.17 | yes | 992 | |
384.299 | even | 32 | inner | 384.2.w.a.299.46 | yes | 992 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
384.2.w.a.131.17 | ✓ | 992 | 3.2 | odd | 2 | inner | |
384.2.w.a.131.46 | yes | 992 | 1.1 | even | 1 | trivial | |
384.2.w.a.299.17 | yes | 992 | 128.43 | odd | 32 | inner | |
384.2.w.a.299.46 | yes | 992 | 384.299 | even | 32 | inner |