Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [192,2,Mod(11,192)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(192, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([8, 5, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("192.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 192 = 2^{6} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 192.s (of order \(16\), degree \(8\), 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: | \(1.53312771881\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 131.20 | ||
Character | \(\chi\) | \(=\) | 192.131 |
Dual form | 192.2.s.a.107.20 |
$q$-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 \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(133\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{3}{16}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.486023 | + | 1.32807i | 0.343670 | + | 0.939090i | ||||
\(3\) | 1.18349 | − | 1.26466i | 0.683285 | − | 0.730151i | ||||
\(4\) | −1.52756 | + | 1.29095i | −0.763782 | + | 0.645475i | ||||
\(5\) | −1.96325 | + | 2.93821i | −0.877993 | + | 1.31401i | 0.0705987 | + | 0.997505i | \(0.477509\pi\) |
−0.948591 | + | 0.316504i | \(0.897491\pi\) | |||||||
\(6\) | 2.25476 | + | 0.957103i | 0.920503 | + | 0.390735i | ||||
\(7\) | 1.41332 | + | 3.41205i | 0.534184 | + | 1.28963i | 0.928730 | + | 0.370757i | \(0.120902\pi\) |
−0.394546 | + | 0.918876i | \(0.629098\pi\) | |||||||
\(8\) | −2.45691 | − | 1.40129i | −0.868648 | − | 0.495429i | ||||
\(9\) | −0.198726 | − | 2.99341i | −0.0662420 | − | 0.997804i | ||||
\(10\) | −4.85635 | − | 1.17930i | −1.53571 | − | 0.372929i | ||||
\(11\) | 1.35426 | − | 0.269378i | 0.408324 | − | 0.0812206i | 0.0133450 | − | 0.999911i | \(-0.495752\pi\) |
0.394979 | + | 0.918690i | \(0.370752\pi\) | |||||||
\(12\) | −0.175237 | + | 3.45967i | −0.0505864 | + | 0.998720i | ||||
\(13\) | 3.69962 | − | 2.47201i | 1.02609 | − | 0.685612i | 0.0758473 | − | 0.997119i | \(-0.475834\pi\) |
0.950244 | + | 0.311507i | \(0.100834\pi\) | |||||||
\(14\) | −3.84455 | + | 3.53533i | −1.02750 | + | 0.944856i | ||||
\(15\) | 1.39236 | + | 5.96017i | 0.359506 | + | 1.53891i | ||||
\(16\) | 0.666898 | − | 3.94401i | 0.166724 | − | 0.986004i | ||||
\(17\) | −1.07694 | + | 1.07694i | −0.261196 | + | 0.261196i | −0.825540 | − | 0.564344i | \(-0.809129\pi\) |
0.564344 | + | 0.825540i | \(0.309129\pi\) | |||||||
\(18\) | 3.87889 | − | 1.71879i | 0.914262 | − | 0.405123i | ||||
\(19\) | 2.55792 | − | 1.70915i | 0.586827 | − | 0.392105i | −0.226415 | − | 0.974031i | \(-0.572701\pi\) |
0.813242 | + | 0.581926i | \(0.197701\pi\) | |||||||
\(20\) | −0.794095 | − | 7.02276i | −0.177565 | − | 1.57034i | ||||
\(21\) | 5.98772 | + | 2.25075i | 1.30663 | + | 0.491153i | ||||
\(22\) | 1.01595 | + | 1.66763i | 0.216602 | + | 0.355540i | ||||
\(23\) | −0.348914 | + | 0.842354i | −0.0727537 | + | 0.175643i | −0.956073 | − | 0.293129i | \(-0.905303\pi\) |
0.883319 | + | 0.468772i | \(0.155303\pi\) | |||||||
\(24\) | −4.67986 | + | 1.44875i | −0.955273 | + | 0.295725i | ||||
\(25\) | −2.86532 | − | 6.91750i | −0.573065 | − | 1.38350i | ||||
\(26\) | 5.08112 | + | 3.71192i | 0.996489 | + | 0.727968i | ||||
\(27\) | −4.02083 | − | 3.29134i | −0.773810 | − | 0.633418i | ||||
\(28\) | −6.56372 | − | 3.38760i | −1.24043 | − | 0.640196i | ||||
\(29\) | 1.64436 | − | 8.26676i | 0.305350 | − | 1.53510i | −0.457905 | − | 0.889001i | \(-0.651400\pi\) |
0.763255 | − | 0.646097i | \(-0.223600\pi\) | |||||||
\(30\) | −7.23884 | + | 4.74594i | −1.32162 | + | 0.866486i | ||||
\(31\) | −7.50303 | −1.34758 | −0.673792 | − | 0.738921i | \(-0.735336\pi\) | ||||
−0.673792 | + | 0.738921i | \(0.735336\pi\) | |||||||
\(32\) | 5.56207 | − | 1.03119i | 0.983245 | − | 0.182291i | ||||
\(33\) | 1.26207 | − | 2.03148i | 0.219698 | − | 0.353635i | ||||
\(34\) | −1.95367 | − | 0.906837i | −0.335052 | − | 0.155521i | ||||
\(35\) | −12.8000 | − | 2.54608i | −2.16360 | − | 0.430367i | ||||
\(36\) | 4.16791 | + | 4.31608i | 0.694652 | + | 0.719346i | ||||
\(37\) | −1.83441 | + | 2.74539i | −0.301576 | + | 0.451340i | −0.951047 | − | 0.309046i | \(-0.899990\pi\) |
0.649471 | + | 0.760386i | \(0.274990\pi\) | |||||||
\(38\) | 3.51308 | + | 2.56642i | 0.569897 | + | 0.416329i | ||||
\(39\) | 1.25220 | − | 7.60435i | 0.200512 | − | 1.21767i | ||||
\(40\) | 8.94080 | − | 4.46784i | 1.41367 | − | 0.706428i | ||||
\(41\) | 9.24158 | + | 3.82799i | 1.44329 | + | 0.597831i | 0.960594 | − | 0.277956i | \(-0.0896569\pi\) |
0.482698 | + | 0.875787i | \(0.339657\pi\) | |||||||
\(42\) | −0.0789866 | + | 9.04605i | −0.0121879 | + | 1.39584i | ||||
\(43\) | −2.87193 | + | 0.571263i | −0.437966 | + | 0.0871168i | −0.409148 | − | 0.912468i | \(-0.634174\pi\) |
−0.0288173 | + | 0.999585i | \(0.509174\pi\) | |||||||
\(44\) | −1.72096 | + | 2.15977i | −0.259444 | + | 0.325597i | ||||
\(45\) | 9.18543 | + | 5.29292i | 1.36928 | + | 0.789022i | ||||
\(46\) | −1.28829 | − | 0.0539808i | −0.189948 | − | 0.00795903i | ||||
\(47\) | 3.91043 | + | 3.91043i | 0.570395 | + | 0.570395i | 0.932239 | − | 0.361844i | \(-0.117853\pi\) |
−0.361844 | + | 0.932239i | \(0.617853\pi\) | |||||||
\(48\) | −4.19857 | − | 5.51108i | −0.606011 | − | 0.795456i | ||||
\(49\) | −4.69487 | + | 4.69487i | −0.670696 | + | 0.670696i | ||||
\(50\) | 7.79434 | − | 7.16743i | 1.10229 | − | 1.01363i | ||||
\(51\) | 0.0874195 | + | 2.63650i | 0.0122412 | + | 0.369184i | ||||
\(52\) | −2.46017 | + | 8.55218i | −0.341164 | + | 1.18597i | ||||
\(53\) | −0.750588 | − | 3.77346i | −0.103101 | − | 0.518325i | −0.997476 | − | 0.0710061i | \(-0.977379\pi\) |
0.894375 | − | 0.447319i | \(-0.147621\pi\) | |||||||
\(54\) | 2.41692 | − | 6.93963i | 0.328901 | − | 0.944364i | ||||
\(55\) | −1.86725 | + | 4.50795i | −0.251780 | + | 0.607852i | ||||
\(56\) | 1.30887 | − | 10.3636i | 0.174905 | − | 1.38489i | ||||
\(57\) | 0.865771 | − | 5.25765i | 0.114674 | − | 0.696392i | ||||
\(58\) | 11.7781 | − | 1.83400i | 1.54654 | − | 0.240816i | ||||
\(59\) | 1.97738 | + | 1.32124i | 0.257433 | + | 0.172011i | 0.677589 | − | 0.735440i | \(-0.263025\pi\) |
−0.420156 | + | 0.907452i | \(0.638025\pi\) | |||||||
\(60\) | −9.82120 | − | 7.30708i | −1.26791 | − | 0.943339i | ||||
\(61\) | 2.15485 | − | 10.8331i | 0.275900 | − | 1.38704i | −0.555569 | − | 0.831471i | \(-0.687499\pi\) |
0.831469 | − | 0.555572i | \(-0.187501\pi\) | |||||||
\(62\) | −3.64665 | − | 9.96458i | −0.463124 | − | 1.26550i | ||||
\(63\) | 9.93280 | − | 4.90870i | 1.25142 | − | 0.618438i | ||||
\(64\) | 4.07280 | + | 6.88566i | 0.509100 | + | 0.860708i | ||||
\(65\) | 15.7235i | 1.95025i | ||||||||
\(66\) | 3.31135 | + | 0.688778i | 0.407599 | + | 0.0847827i | ||||
\(67\) | 1.15899 | + | 0.230537i | 0.141593 | + | 0.0281646i | 0.265378 | − | 0.964144i | \(-0.414503\pi\) |
−0.123785 | + | 0.992309i | \(0.539503\pi\) | |||||||
\(68\) | 0.254818 | − | 3.03536i | 0.0309012 | − | 0.368092i | ||||
\(69\) | 0.652356 | + | 1.43817i | 0.0785344 | + | 0.173135i | ||||
\(70\) | −2.83972 | − | 18.2368i | −0.339412 | − | 2.17972i | ||||
\(71\) | −7.50045 | + | 3.10679i | −0.890139 | + | 0.368708i | −0.780421 | − | 0.625255i | \(-0.784995\pi\) |
−0.109719 | + | 0.993963i | \(0.534995\pi\) | |||||||
\(72\) | −3.70637 | + | 7.63301i | −0.436800 | + | 0.899559i | ||||
\(73\) | −3.51016 | − | 1.45396i | −0.410833 | − | 0.170173i | 0.167688 | − | 0.985840i | \(-0.446370\pi\) |
−0.578521 | + | 0.815667i | \(0.696370\pi\) | |||||||
\(74\) | −4.53765 | − | 1.10191i | −0.527491 | − | 0.128095i | ||||
\(75\) | −12.1393 | − | 4.56310i | −1.40173 | − | 0.526902i | ||||
\(76\) | −1.70096 | + | 5.91297i | −0.195113 | + | 0.678265i | ||||
\(77\) | 2.83313 | + | 4.24007i | 0.322865 | + | 0.483201i | ||||
\(78\) | 10.7077 | − | 2.03288i | 1.21241 | − | 0.230178i | ||||
\(79\) | 8.03113 | + | 8.03113i | 0.903573 | + | 0.903573i | 0.995743 | − | 0.0921705i | \(-0.0293805\pi\) |
−0.0921705 | + | 0.995743i | \(0.529380\pi\) | |||||||
\(80\) | 10.2791 | + | 9.70258i | 1.14923 | + | 1.08478i | ||||
\(81\) | −8.92102 | + | 1.18974i | −0.991224 | + | 0.132193i | ||||
\(82\) | −0.592231 | + | 14.1340i | −0.0654009 | + | 1.56084i | ||||
\(83\) | 2.45014 | + | 3.66690i | 0.268938 | + | 0.402494i | 0.941216 | − | 0.337804i | \(-0.109684\pi\) |
−0.672278 | + | 0.740298i | \(0.734684\pi\) | |||||||
\(84\) | −12.0522 | + | 4.29169i | −1.31500 | + | 0.468262i | ||||
\(85\) | −1.04997 | − | 5.27857i | −0.113886 | − | 0.572542i | ||||
\(86\) | −2.15450 | − | 3.53649i | −0.232326 | − | 0.381350i | ||||
\(87\) | −8.50856 | − | 11.8631i | −0.912213 | − | 1.27186i | ||||
\(88\) | −3.70476 | − | 1.23586i | −0.394929 | − | 0.131743i | ||||
\(89\) | 0.100607 | − | 0.0416728i | 0.0106643 | − | 0.00441731i | −0.377345 | − | 0.926073i | \(-0.623163\pi\) |
0.388009 | + | 0.921655i | \(0.373163\pi\) | |||||||
\(90\) | −2.56506 | + | 14.7714i | −0.270381 | + | 1.55704i | ||||
\(91\) | 13.6634 | + | 9.12957i | 1.43231 | + | 0.957039i | ||||
\(92\) | −0.554448 | − | 1.73718i | −0.0578052 | − | 0.181114i | ||||
\(93\) | −8.87972 | + | 9.48878i | −0.920784 | + | 0.983940i | ||||
\(94\) | −3.29278 | + | 7.09391i | −0.339625 | + | 0.731681i | ||||
\(95\) | 10.8712i | 1.11536i | ||||||||
\(96\) | 5.27852 | − | 8.25453i | 0.538737 | − | 0.842474i | ||||
\(97\) | − | 12.5267i | − | 1.27189i | −0.771735 | − | 0.635945i | \(-0.780611\pi\) | ||
0.771735 | − | 0.635945i | \(-0.219389\pi\) | |||||||
\(98\) | −8.51695 | − | 3.95332i | −0.860342 | − | 0.399346i | ||||
\(99\) | −1.07549 | − | 4.00031i | −0.108090 | − | 0.402047i | ||||
\(100\) | 13.3071 | + | 6.86793i | 1.33071 | + | 0.686793i | ||||
\(101\) | −7.14638 | − | 4.77506i | −0.711091 | − | 0.475136i | 0.146669 | − | 0.989186i | \(-0.453145\pi\) |
−0.857760 | + | 0.514050i | \(0.828145\pi\) | |||||||
\(102\) | −3.45898 | + | 1.39750i | −0.342490 | + | 0.138373i | ||||
\(103\) | −15.7808 | + | 6.53662i | −1.55493 | + | 0.644072i | −0.984199 | − | 0.177066i | \(-0.943339\pi\) |
−0.570729 | + | 0.821139i | \(0.693339\pi\) | |||||||
\(104\) | −12.5536 | + | 0.889270i | −1.23098 | + | 0.0872001i | ||||
\(105\) | −18.3686 | + | 13.1744i | −1.79259 | + | 1.28569i | ||||
\(106\) | 4.64663 | − | 2.83083i | 0.451321 | − | 0.274954i | ||||
\(107\) | 0.485556 | + | 2.44105i | 0.0469404 | + | 0.235986i | 0.997132 | − | 0.0756806i | \(-0.0241130\pi\) |
−0.950192 | + | 0.311666i | \(0.899113\pi\) | |||||||
\(108\) | 10.3910 | − | 0.162970i | 0.999877 | − | 0.0156818i | ||||
\(109\) | 1.80331 | + | 2.69885i | 0.172726 | + | 0.258503i | 0.907725 | − | 0.419565i | \(-0.137817\pi\) |
−0.734999 | + | 0.678068i | \(0.762817\pi\) | |||||||
\(110\) | −6.89442 | − | 0.288884i | −0.657357 | − | 0.0275440i | ||||
\(111\) | 1.30099 | + | 5.56904i | 0.123484 | + | 0.528590i | ||||
\(112\) | 14.3997 | − | 3.29866i | 1.36064 | − | 0.311694i | ||||
\(113\) | −7.35380 | − | 7.35380i | −0.691788 | − | 0.691788i | 0.270837 | − | 0.962625i | \(-0.412699\pi\) |
−0.962625 | + | 0.270837i | \(0.912699\pi\) | |||||||
\(114\) | 7.40333 | − | 1.40553i | 0.693385 | − | 0.131640i | ||||
\(115\) | −1.79001 | − | 2.67894i | −0.166919 | − | 0.249812i | ||||
\(116\) | 8.16010 | + | 14.7508i | 0.757647 | + | 1.36958i | ||||
\(117\) | −8.13495 | − | 10.5832i | −0.752077 | − | 0.978421i | ||||
\(118\) | −0.793657 | + | 3.26827i | −0.0730621 | + | 0.300868i | ||||
\(119\) | −5.19662 | − | 2.15251i | −0.476373 | − | 0.197320i | ||||
\(120\) | 4.93101 | − | 16.5947i | 0.450137 | − | 1.51488i | ||||
\(121\) | −8.40123 | + | 3.47990i | −0.763748 | + | 0.316355i | ||||
\(122\) | 15.4345 | − | 2.40336i | 1.39738 | − | 0.217590i | ||||
\(123\) | 15.7784 | − | 7.15708i | 1.42269 | − | 0.645332i | ||||
\(124\) | 11.4613 | − | 9.68603i | 1.02926 | − | 0.869831i | ||||
\(125\) | 8.62114 | + | 1.71485i | 0.771099 | + | 0.153381i | ||||
\(126\) | 11.3467 | + | 10.8058i | 1.01084 | + | 0.962654i | ||||
\(127\) | 3.48281i | 0.309050i | 0.987989 | + | 0.154525i | \(0.0493846\pi\) | ||||
−0.987989 | + | 0.154525i | \(0.950615\pi\) | |||||||
\(128\) | −7.16520 | + | 8.75557i | −0.633320 | + | 0.773890i | ||||
\(129\) | −2.67644 | + | 4.30810i | −0.235647 | + | 0.379307i | ||||
\(130\) | −20.8819 | + | 7.64196i | −1.83147 | + | 0.670245i | ||||
\(131\) | 1.52866 | − | 7.68509i | 0.133560 | − | 0.671449i | −0.854756 | − | 0.519030i | \(-0.826293\pi\) |
0.988316 | − | 0.152420i | \(-0.0487066\pi\) | |||||||
\(132\) | 0.694644 | + | 4.73248i | 0.0604610 | + | 0.411909i | ||||
\(133\) | 9.44684 | + | 6.31218i | 0.819145 | + | 0.547335i | ||||
\(134\) | 0.257125 | + | 1.65127i | 0.0222122 | + | 0.142648i | ||||
\(135\) | 17.5646 | − | 5.35235i | 1.51172 | − | 0.460657i | ||||
\(136\) | 4.15504 | − | 1.13684i | 0.356291 | − | 0.0974832i | ||||
\(137\) | 1.50317 | − | 3.62897i | 0.128424 | − | 0.310044i | −0.846569 | − | 0.532280i | \(-0.821335\pi\) |
0.974993 | + | 0.222236i | \(0.0713355\pi\) | |||||||
\(138\) | −1.59294 | + | 1.56536i | −0.135600 | + | 0.133252i | ||||
\(139\) | −4.01465 | − | 20.1830i | −0.340518 | − | 1.71190i | −0.649100 | − | 0.760703i | \(-0.724854\pi\) |
0.308581 | − | 0.951198i | \(-0.400146\pi\) | |||||||
\(140\) | 22.8397 | − | 12.6349i | 1.93031 | − | 1.06784i | ||||
\(141\) | 9.57330 | − | 0.317426i | 0.806218 | − | 0.0267321i | ||||
\(142\) | −7.77143 | − | 8.45118i | −0.652164 | − | 0.709207i | ||||
\(143\) | 4.34433 | − | 4.34433i | 0.363291 | − | 0.363291i | ||||
\(144\) | −11.9386 | − | 1.21252i | −0.994882 | − | 0.101043i | ||||
\(145\) | 21.0612 | + | 21.0612i | 1.74904 | + | 1.74904i | ||||
\(146\) | 0.224943 | − | 5.36841i | 0.0186164 | − | 0.444293i | ||||
\(147\) | 0.381102 | + | 11.4937i | 0.0314328 | + | 0.947986i | ||||
\(148\) | −0.741983 | − | 6.56189i | −0.0609906 | − | 0.539384i | ||||
\(149\) | −20.3831 | + | 4.05445i | −1.66985 | + | 0.332153i | −0.937289 | − | 0.348552i | \(-0.886673\pi\) |
−0.732557 | + | 0.680705i | \(0.761673\pi\) | |||||||
\(150\) | 0.160135 | − | 18.3397i | 0.0130750 | − | 1.49743i | ||||
\(151\) | −2.14039 | − | 0.886580i | −0.174183 | − | 0.0721488i | 0.293888 | − | 0.955840i | \(-0.405051\pi\) |
−0.468071 | + | 0.883691i | \(0.655051\pi\) | |||||||
\(152\) | −8.67957 | + | 0.614841i | −0.704006 | + | 0.0498702i | ||||
\(153\) | 3.43773 | + | 3.00970i | 0.277924 | + | 0.243320i | ||||
\(154\) | −4.25417 | + | 5.82337i | −0.342811 | + | 0.469261i | ||||
\(155\) | 14.7303 | − | 22.0455i | 1.18317 | − | 1.77074i | ||||
\(156\) | 7.90402 | + | 13.2327i | 0.632828 | + | 1.05946i | ||||
\(157\) | 1.80242 | + | 0.358524i | 0.143849 | + | 0.0286133i | 0.266489 | − | 0.963838i | \(-0.414136\pi\) |
−0.122641 | + | 0.992451i | \(0.539136\pi\) | |||||||
\(158\) | −6.76262 | + | 14.5693i | −0.538005 | + | 1.15907i | ||||
\(159\) | −5.66045 | − | 3.51660i | −0.448903 | − | 0.278884i | ||||
\(160\) | −7.88988 | + | 18.3670i | −0.623750 | + | 1.45204i | ||||
\(161\) | −3.36728 | −0.265379 | ||||||||
\(162\) | −5.91588 | − | 11.2695i | −0.464795 | − | 0.885418i | ||||
\(163\) | −2.11463 | + | 10.6309i | −0.165630 | + | 0.832679i | 0.805217 | + | 0.592980i | \(0.202049\pi\) |
−0.970847 | + | 0.239699i | \(0.922951\pi\) | |||||||
\(164\) | −19.0588 | + | 6.08292i | −1.48824 | + | 0.474996i | ||||
\(165\) | 3.49115 | + | 7.69653i | 0.271786 | + | 0.599174i | ||||
\(166\) | −3.67908 | + | 5.03617i | −0.285552 | + | 0.390882i | ||||
\(167\) | 5.11061 | + | 12.3381i | 0.395471 | + | 0.954751i | 0.988726 | + | 0.149736i | \(0.0478425\pi\) |
−0.593255 | + | 0.805014i | \(0.702158\pi\) | |||||||
\(168\) | −11.5573 | − | 13.9204i | −0.891668 | − | 1.07398i | ||||
\(169\) | 2.60150 | − | 6.28058i | 0.200115 | − | 0.483121i | ||||
\(170\) | 6.50002 | − | 3.95995i | 0.498529 | − | 0.303714i | ||||
\(171\) | −5.62450 | − | 7.31725i | −0.430116 | − | 0.559564i | ||||
\(172\) | 3.64959 | − | 4.58016i | 0.278278 | − | 0.349234i | ||||
\(173\) | −2.34005 | + | 1.56357i | −0.177911 | + | 0.118876i | −0.641337 | − | 0.767259i | \(-0.721620\pi\) |
0.463426 | + | 0.886136i | \(0.346620\pi\) | |||||||
\(174\) | 11.6198 | − | 17.0658i | 0.880893 | − | 1.29375i | ||||
\(175\) | 19.5532 | − | 19.5532i | 1.47809 | − | 1.47809i | ||||
\(176\) | −0.159282 | − | 5.52085i | −0.0120063 | − | 0.416150i | ||||
\(177\) | 4.01113 | − | 0.937041i | 0.301495 | − | 0.0704323i | ||||
\(178\) | 0.104242 | + | 0.113360i | 0.00781326 | + | 0.00849666i | ||||
\(179\) | −5.84520 | + | 3.90564i | −0.436891 | + | 0.291921i | −0.754499 | − | 0.656301i | \(-0.772120\pi\) |
0.317609 | + | 0.948222i | \(0.397120\pi\) | |||||||
\(180\) | −20.8642 | + | 3.77266i | −1.55513 | + | 0.281197i | ||||
\(181\) | 25.4769 | − | 5.06767i | 1.89368 | − | 0.376677i | 0.895961 | − | 0.444133i | \(-0.146488\pi\) |
0.997722 | + | 0.0674565i | \(0.0214884\pi\) | |||||||
\(182\) | −5.48403 | + | 22.5831i | −0.406504 | + | 1.67397i | ||||
\(183\) | −11.1500 | − | 15.5460i | −0.824232 | − | 1.14919i | ||||
\(184\) | 2.03763 | − | 1.58066i | 0.150216 | − | 0.116528i | ||||
\(185\) | −4.46513 | − | 10.7798i | −0.328283 | − | 0.792546i | ||||
\(186\) | −16.9175 | − | 7.18117i | −1.24045 | − | 0.526549i | ||||
\(187\) | −1.16835 | + | 1.74855i | −0.0854379 | + | 0.127867i | ||||
\(188\) | −11.0216 | − | 0.925260i | −0.803833 | − | 0.0674815i | ||||
\(189\) | 5.54749 | − | 18.3710i | 0.403521 | − | 1.33629i | ||||
\(190\) | −14.4378 | + | 5.28365i | −1.04742 | + | 0.383316i | ||||
\(191\) | −5.07582 | −0.367273 | −0.183637 | − | 0.982994i | \(-0.558787\pi\) | ||||
−0.183637 | + | 0.982994i | \(0.558787\pi\) | |||||||
\(192\) | 13.5281 | + | 2.99838i | 0.976307 | + | 0.216389i | ||||
\(193\) | −10.3233 | −0.743087 | −0.371544 | − | 0.928416i | \(-0.621171\pi\) | ||||
−0.371544 | + | 0.928416i | \(0.621171\pi\) | |||||||
\(194\) | 16.6363 | − | 6.08825i | 1.19442 | − | 0.437111i | ||||
\(195\) | 19.8848 | + | 18.6085i | 1.42398 | + | 1.33258i | ||||
\(196\) | 1.11087 | − | 13.2326i | 0.0793478 | − | 0.945182i | ||||
\(197\) | 2.22569 | − | 3.33097i | 0.158574 | − | 0.237322i | −0.743672 | − | 0.668545i | \(-0.766918\pi\) |
0.902246 | + | 0.431223i | \(0.141918\pi\) | |||||||
\(198\) | 4.79000 | − | 3.37257i | 0.340411 | − | 0.239678i | ||||
\(199\) | 4.93691 | + | 11.9188i | 0.349968 | + | 0.844898i | 0.996623 | + | 0.0821152i | \(0.0261675\pi\) |
−0.646655 | + | 0.762783i | \(0.723832\pi\) | |||||||
\(200\) | −2.65356 | + | 21.0108i | −0.187635 | + | 1.48569i | ||||
\(201\) | 1.66320 | − | 1.19289i | 0.117313 | − | 0.0841398i | ||||
\(202\) | 2.86833 | − | 11.8117i | 0.201815 | − | 0.831069i | ||||
\(203\) | 30.5306 | − | 6.07291i | 2.14283 | − | 0.426235i | ||||
\(204\) | −3.53713 | − | 3.91456i | −0.247648 | − | 0.274074i | ||||
\(205\) | −29.3910 | + | 19.6384i | −2.05275 | + | 1.37161i | ||||
\(206\) | −16.3509 | − | 17.7811i | −1.13922 | − | 1.23887i | ||||
\(207\) | 2.59085 | + | 0.877047i | 0.180077 | + | 0.0609590i | ||||
\(208\) | −7.28237 | − | 16.2399i | −0.504942 | − | 1.12604i | ||||
\(209\) | 3.00367 | − | 3.00367i | 0.207768 | − | 0.207768i | ||||
\(210\) | −26.4242 | − | 17.9918i | −1.82344 | − | 1.24155i | ||||
\(211\) | −11.8550 | + | 7.92128i | −0.816134 | + | 0.545323i | −0.892127 | − | 0.451785i | \(-0.850787\pi\) |
0.0759927 | + | 0.997108i | \(0.475787\pi\) | |||||||
\(212\) | 6.01792 | + | 4.79523i | 0.413312 | + | 0.329338i | ||||
\(213\) | −4.94764 | + | 13.1623i | −0.339007 | + | 0.901869i | ||||
\(214\) | −3.00591 | + | 1.83126i | −0.205480 | + | 0.125183i | ||||
\(215\) | 3.95983 | − | 9.55988i | 0.270058 | − | 0.651978i | ||||
\(216\) | 5.26672 | + | 13.7208i | 0.358355 | + | 0.933586i | ||||
\(217\) | −10.6042 | − | 25.6007i | −0.719857 | − | 1.73789i | ||||
\(218\) | −2.70782 | + | 3.70664i | −0.183397 | + | 0.251045i | ||||
\(219\) | −5.99299 | + | 2.71842i | −0.404968 | + | 0.183694i | ||||
\(220\) | −2.96719 | − | 9.29671i | −0.200048 | − | 0.626784i | ||||
\(221\) | −1.32206 | + | 6.64647i | −0.0889317 | + | 0.447090i | ||||
\(222\) | −6.76379 | + | 4.43449i | −0.453956 | + | 0.297623i | ||||
\(223\) | 15.0068 | 1.00493 | 0.502464 | − | 0.864598i | \(-0.332427\pi\) | ||||
0.502464 | + | 0.864598i | \(0.332427\pi\) | |||||||
\(224\) | 11.3795 | + | 17.5207i | 0.760322 | + | 1.17065i | ||||
\(225\) | −20.1375 | + | 9.95177i | −1.34250 | + | 0.663452i | ||||
\(226\) | 6.19228 | − | 13.3405i | 0.411904 | − | 0.887398i | ||||
\(227\) | 14.3174 | + | 2.84791i | 0.950278 | + | 0.189022i | 0.645808 | − | 0.763500i | \(-0.276521\pi\) |
0.304470 | + | 0.952522i | \(0.401521\pi\) | |||||||
\(228\) | 5.46484 | + | 9.14905i | 0.361918 | + | 0.605911i | ||||
\(229\) | −9.15707 | + | 13.7045i | −0.605116 | + | 0.905620i | −0.999914 | − | 0.0131478i | \(-0.995815\pi\) |
0.394797 | + | 0.918768i | \(0.370815\pi\) | |||||||
\(230\) | 2.68784 | − | 3.67929i | 0.177231 | − | 0.242605i | ||||
\(231\) | 8.71521 | + | 1.43512i | 0.573419 | + | 0.0944242i | ||||
\(232\) | −15.6241 | + | 18.0064i | −1.02577 | + | 1.18218i | ||||
\(233\) | 14.9724 | + | 6.20176i | 0.980873 | + | 0.406291i | 0.814749 | − | 0.579814i | \(-0.196875\pi\) |
0.166124 | + | 0.986105i | \(0.446875\pi\) | |||||||
\(234\) | 10.1016 | − | 15.9475i | 0.660359 | − | 1.04252i | ||||
\(235\) | −19.1668 | + | 3.81252i | −1.25031 | + | 0.248702i | ||||
\(236\) | −4.72624 | + | 0.534417i | −0.307652 | + | 0.0347876i | ||||
\(237\) | 19.6614 | − | 0.651920i | 1.27714 | − | 0.0423467i | ||||
\(238\) | 0.333016 | − | 7.94767i | 0.0215863 | − | 0.515171i | ||||
\(239\) | −13.3330 | − | 13.3330i | −0.862438 | − | 0.862438i | 0.129182 | − | 0.991621i | \(-0.458765\pi\) |
−0.991621 | + | 0.129182i | \(0.958765\pi\) | |||||||
\(240\) | 24.4356 | − | 1.51666i | 1.57731 | − | 0.0979000i | ||||
\(241\) | 12.8148 | − | 12.8148i | 0.825476 | − | 0.825476i | −0.161411 | − | 0.986887i | \(-0.551605\pi\) |
0.986887 | + | 0.161411i | \(0.0516046\pi\) | |||||||
\(242\) | −8.70476 | − | 9.46614i | −0.559563 | − | 0.608507i | ||||
\(243\) | −9.05328 | + | 12.6901i | −0.580768 | + | 0.814069i | ||||
\(244\) | 10.6934 | + | 19.3301i | 0.684574 | + | 1.23748i | ||||
\(245\) | −4.57732 | − | 23.0117i | −0.292434 | − | 1.47017i | ||||
\(246\) | 17.1738 | + | 17.4763i | 1.09496 | + | 1.11425i | ||||
\(247\) | 5.23831 | − | 12.6464i | 0.333306 | − | 0.804671i | ||||
\(248\) | 18.4343 | + | 10.5139i | 1.17058 | + | 0.667633i | ||||
\(249\) | 7.53708 | + | 1.24112i | 0.477643 | + | 0.0786529i | ||||
\(250\) | 1.91262 | + | 12.2830i | 0.120965 | + | 0.776844i | ||||
\(251\) | −15.4290 | − | 10.3094i | −0.973872 | − | 0.650721i | −0.0366041 | − | 0.999330i | \(-0.511654\pi\) |
−0.937268 | + | 0.348609i | \(0.886654\pi\) | |||||||
\(252\) | −8.83610 | + | 20.3211i | −0.556622 | + | 1.28011i | ||||
\(253\) | −0.245608 | + | 1.23475i | −0.0154412 | + | 0.0776283i | ||||
\(254\) | −4.62543 | + | 1.69273i | −0.290225 | + | 0.106211i | ||||
\(255\) | −7.91822 | − | 4.91925i | −0.495858 | − | 0.308056i | ||||
\(256\) | −15.1105 | − | 5.26051i | −0.944406 | − | 0.328782i | ||||
\(257\) | − | 7.36483i | − | 0.459405i | −0.973261 | − | 0.229703i | \(-0.926225\pi\) | ||
0.973261 | − | 0.229703i | \(-0.0737754\pi\) | |||||||
\(258\) | −7.02228 | − | 1.46067i | −0.437188 | − | 0.0909374i | ||||
\(259\) | −11.9600 | − | 2.37900i | −0.743160 | − | 0.147824i | ||||
\(260\) | −20.2982 | − | 24.0186i | −1.25884 | − | 1.48957i | ||||
\(261\) | −25.0726 | − | 3.27943i | −1.55195 | − | 0.202991i | ||||
\(262\) | 10.9493 | − | 1.70496i | 0.676452 | − | 0.105333i | ||||
\(263\) | 21.2218 | − | 8.79034i | 1.30859 | − | 0.542036i | 0.384118 | − | 0.923284i | \(-0.374506\pi\) |
0.924473 | + | 0.381248i | \(0.124506\pi\) | |||||||
\(264\) | −5.94747 | + | 3.22263i | −0.366042 | + | 0.198339i | ||||
\(265\) | 12.5608 | + | 5.20286i | 0.771605 | + | 0.319609i | ||||
\(266\) | −3.79166 | + | 15.6140i | −0.232482 | + | 0.957354i | ||||
\(267\) | 0.0663650 | − | 0.176553i | 0.00406147 | − | 0.0108048i | ||||
\(268\) | −2.06804 | + | 1.14403i | −0.126326 | + | 0.0698831i | ||||
\(269\) | −3.20130 | − | 4.79109i | −0.195187 | − | 0.292118i | 0.720947 | − | 0.692990i | \(-0.243707\pi\) |
−0.916134 | + | 0.400872i | \(0.868707\pi\) | |||||||
\(270\) | 15.6451 | + | 20.7257i | 0.952130 | + | 1.26132i | ||||
\(271\) | −11.1155 | − | 11.1155i | −0.675220 | − | 0.675220i | 0.283695 | − | 0.958915i | \(-0.408440\pi\) |
−0.958915 | + | 0.283695i | \(0.908440\pi\) | |||||||
\(272\) | 3.52925 | + | 4.96567i | 0.213992 | + | 0.301088i | ||||
\(273\) | 27.7162 | − | 6.47479i | 1.67746 | − | 0.391872i | ||||
\(274\) | 5.55012 | + | 0.232556i | 0.335295 | + | 0.0140492i | ||||
\(275\) | −5.74381 | − | 8.59621i | −0.346364 | − | 0.518371i | ||||
\(276\) | −2.85312 | − | 1.35474i | −0.171738 | − | 0.0815457i | ||||
\(277\) | −0.155896 | − | 0.783742i | −0.00936688 | − | 0.0470905i | 0.975819 | − | 0.218579i | \(-0.0701422\pi\) |
−0.985186 | + | 0.171489i | \(0.945142\pi\) | |||||||
\(278\) | 24.8533 | − | 15.1412i | 1.49060 | − | 0.908107i | ||||
\(279\) | 1.49105 | + | 22.4596i | 0.0892666 | + | 1.34462i | ||||
\(280\) | 27.8807 | + | 24.1920i | 1.66619 | + | 1.44575i | ||||
\(281\) | 2.65178 | − | 1.09840i | 0.158192 | − | 0.0655253i | −0.302182 | − | 0.953250i | \(-0.597715\pi\) |
0.460374 | + | 0.887725i | \(0.347715\pi\) | |||||||
\(282\) | 5.07441 | + | 12.5598i | 0.302177 | + | 0.747924i | ||||
\(283\) | 25.0238 | + | 16.7204i | 1.48751 | + | 0.993922i | 0.992125 | + | 0.125248i | \(0.0399727\pi\) |
0.495384 | + | 0.868674i | \(0.335027\pi\) | |||||||
\(284\) | 7.44670 | − | 14.4285i | 0.441880 | − | 0.856175i | ||||
\(285\) | 13.7484 | + | 12.8659i | 0.814382 | + | 0.762110i | ||||
\(286\) | 7.88104 | + | 3.65815i | 0.466016 | + | 0.216311i | ||||
\(287\) | 36.9429i | 2.18067i | ||||||||
\(288\) | −4.19211 | − | 16.4446i | −0.247023 | − | 0.969010i | ||||
\(289\) | 14.6804i | 0.863554i | ||||||||
\(290\) | −17.7346 | + | 38.2071i | −1.04141 | + | 2.24360i | ||||
\(291\) | −15.8420 | − | 14.8251i | −0.928672 | − | 0.869064i | ||||
\(292\) | 7.23898 | − | 2.31043i | 0.423629 | − | 0.135208i | ||||
\(293\) | 8.66794 | + | 5.79173i | 0.506386 | + | 0.338356i | 0.782378 | − | 0.622803i | \(-0.214006\pi\) |
−0.275992 | + | 0.961160i | \(0.589006\pi\) | |||||||
\(294\) | −15.0793 | + | 6.09235i | −0.879442 | + | 0.355313i | ||||
\(295\) | −7.76419 | + | 3.21603i | −0.452049 | + | 0.187245i | ||||
\(296\) | 8.35406 | − | 4.17464i | 0.485570 | − | 0.242646i | ||||
\(297\) | −6.33185 | − | 3.37419i | −0.367411 | − | 0.195790i | ||||
\(298\) | −15.2913 | − | 25.0997i | −0.885798 | − | 1.45399i | ||||
\(299\) | 0.791455 | + | 3.97891i | 0.0457710 | + | 0.230106i | ||||
\(300\) | 24.4344 | − | 8.70086i | 1.41072 | − | 0.502344i | ||||
\(301\) | −6.00813 | − | 8.99180i | −0.346303 | − | 0.518279i | ||||
\(302\) | 0.137163 | − | 3.27350i | 0.00789286 | − | 0.188369i | ||||
\(303\) | −14.4965 | + | 3.38652i | −0.832799 | + | 0.194551i | ||||
\(304\) | −5.03503 | − | 11.2283i | −0.288779 | − | 0.643987i | ||||
\(305\) | 27.5996 | + | 27.5996i | 1.58035 | + | 1.58035i | ||||
\(306\) | −2.32629 | + | 6.02835i | −0.132985 | + | 0.344618i | ||||
\(307\) | −1.97934 | − | 2.96229i | −0.112967 | − | 0.169067i | 0.770678 | − | 0.637225i | \(-0.219918\pi\) |
−0.883645 | + | 0.468158i | \(0.844918\pi\) | |||||||
\(308\) | −9.80150 | − | 2.81955i | −0.558492 | − | 0.160659i | ||||
\(309\) | −10.4097 | + | 27.6933i | −0.592189 | + | 1.57542i | ||||
\(310\) | 36.4373 | + | 8.84835i | 2.06950 | + | 0.502553i | ||||
\(311\) | −14.8552 | − | 6.15323i | −0.842362 | − | 0.348918i | −0.0805778 | − | 0.996748i | \(-0.525677\pi\) |
−0.761785 | + | 0.647830i | \(0.775677\pi\) | |||||||
\(312\) | −13.7324 | + | 16.9285i | −0.777445 | + | 0.958388i | ||||
\(313\) | 19.4086 | − | 8.03931i | 1.09704 | − | 0.454409i | 0.240583 | − | 0.970629i | \(-0.422661\pi\) |
0.856456 | + | 0.516220i | \(0.172661\pi\) | |||||||
\(314\) | 0.399872 | + | 2.56800i | 0.0225661 | + | 0.144921i | ||||
\(315\) | −5.07778 | + | 38.8217i | −0.286100 | + | 2.18736i | ||||
\(316\) | −22.6358 | − | 1.90027i | −1.27337 | − | 0.106899i | ||||
\(317\) | −26.5384 | − | 5.27881i | −1.49054 | − | 0.296488i | −0.618449 | − | 0.785825i | \(-0.712239\pi\) |
−0.872095 | + | 0.489337i | \(0.837239\pi\) | |||||||
\(318\) | 1.91919 | − | 9.22665i | 0.107623 | − | 0.517405i | ||||
\(319\) | − | 11.6383i | − | 0.651618i | ||||||
\(320\) | −28.2275 | − | 1.55154i | −1.57796 | − | 0.0867337i | ||||
\(321\) | 3.66175 | + | 2.27489i | 0.204379 | + | 0.126972i | ||||
\(322\) | −1.63658 | − | 4.47200i | −0.0912028 | − | 0.249215i | ||||
\(323\) | −0.914075 | + | 4.59536i | −0.0508605 | + | 0.255693i | ||||
\(324\) | 12.0915 | − | 13.3340i | 0.671751 | − | 0.740777i | ||||
\(325\) | −27.7007 | − | 18.5090i | −1.53656 | − | 1.02670i | ||||
\(326\) | −15.1464 | + | 2.35850i | −0.838883 | + | 0.130625i | ||||
\(327\) | 5.54732 | + | 0.913471i | 0.306767 | + | 0.0505150i | ||||
\(328\) | −17.3416 | − | 22.3551i | −0.957530 | − | 1.23435i | ||||
\(329\) | −7.81591 | + | 18.8693i | −0.430905 | + | 1.04030i | ||||
\(330\) | −8.52478 | + | 8.37720i | −0.469274 | + | 0.461150i | ||||
\(331\) | 0.802821 | + | 4.03605i | 0.0441270 | + | 0.221841i | 0.996556 | − | 0.0829179i | \(-0.0264239\pi\) |
−0.952429 | + | 0.304759i | \(0.901424\pi\) | |||||||
\(332\) | −8.47652 | − | 2.43840i | −0.465210 | − | 0.133825i | ||||
\(333\) | 8.58263 | + | 4.94557i | 0.470325 | + | 0.271016i | ||||
\(334\) | −13.9020 | + | 12.7839i | −0.760686 | + | 0.699502i | ||||
\(335\) | −2.95275 | + | 2.95275i | −0.161326 | + | 0.161326i | ||||
\(336\) | 12.8702 | − | 22.1146i | 0.702125 | − | 1.20645i | ||||
\(337\) | 4.18438 | + | 4.18438i | 0.227938 | + | 0.227938i | 0.811831 | − | 0.583893i | \(-0.198471\pi\) |
−0.583893 | + | 0.811831i | \(0.698471\pi\) | |||||||
\(338\) | 9.60547 | + | 0.402480i | 0.522468 | + | 0.0218920i | ||||
\(339\) | −18.0032 | + | 0.596938i | −0.977798 | + | 0.0324212i | ||||
\(340\) | 8.41827 | + | 6.70789i | 0.456545 | + | 0.363786i | ||||
\(341\) | −10.1610 | + | 2.02115i | −0.550250 | + | 0.109452i | ||||
\(342\) | 6.98421 | − | 11.0261i | 0.377663 | − | 0.596224i | ||||
\(343\) | 1.22987 | + | 0.509431i | 0.0664070 | + | 0.0275067i | ||||
\(344\) | 7.85658 | + | 2.62086i | 0.423598 | + | 0.141307i | ||||
\(345\) | −5.50639 | − | 0.906731i | −0.296454 | − | 0.0488168i | ||||
\(346\) | −3.21386 | − | 2.34783i | −0.172778 | − | 0.126220i | ||||
\(347\) | −4.27956 | + | 6.40482i | −0.229739 | + | 0.343829i | −0.928373 | − | 0.371651i | \(-0.878792\pi\) |
0.698634 | + | 0.715480i | \(0.253792\pi\) | |||||||
\(348\) | 28.3121 | + | 7.13758i | 1.51769 | + | 0.382614i | ||||
\(349\) | −29.3368 | − | 5.83546i | −1.57036 | − | 0.312365i | −0.668275 | − | 0.743915i | \(-0.732967\pi\) |
−0.902089 | + | 0.431550i | \(0.857967\pi\) | |||||||
\(350\) | 35.4715 | + | 16.4648i | 1.89603 | + | 0.880082i | ||||
\(351\) | −23.0118 | − | 2.23717i | −1.22828 | − | 0.119411i | ||||
\(352\) | 7.25469 | − | 2.89480i | 0.386676 | − | 0.154293i | ||||
\(353\) | 34.8629 | 1.85556 | 0.927782 | − | 0.373122i | \(-0.121713\pi\) | ||||
0.927782 | + | 0.373122i | \(0.121713\pi\) | |||||||
\(354\) | 3.19396 | + | 4.87165i | 0.169757 | + | 0.258925i | ||||
\(355\) | 5.59686 | − | 28.1373i | 0.297050 | − | 1.49337i | ||||
\(356\) | −0.0998860 | + | 0.193536i | −0.00529395 | + | 0.0102574i | ||||
\(357\) | −8.87232 | + | 4.02449i | −0.469573 | + | 0.212999i | ||||
\(358\) | −8.02788 | − | 5.86463i | −0.424287 | − | 0.309955i | ||||
\(359\) | −6.91509 | − | 16.6945i | −0.364965 | − | 0.881103i | −0.994559 | − | 0.104178i | \(-0.966779\pi\) |
0.629594 | − | 0.776924i | \(-0.283221\pi\) | |||||||
\(360\) | −15.1509 | − | 25.8756i | −0.798520 | − | 1.36376i | ||||
\(361\) | −3.64922 | + | 8.81000i | −0.192064 | + | 0.463684i | ||||
\(362\) | 19.1126 | + | 31.3722i | 1.00454 | + | 1.64889i | ||||
\(363\) | −5.54184 | + | 14.7431i | −0.290871 | + | 0.773812i | ||||
\(364\) | −32.6575 | + | 3.69273i | −1.71172 | + | 0.193551i | ||||
\(365\) | 11.1634 | − | 7.45912i | 0.584317 | − | 0.390428i | ||||
\(366\) | 15.2271 | − | 22.3638i | 0.795933 | − | 1.16897i | ||||
\(367\) | 13.6204 | − | 13.6204i | 0.710979 | − | 0.710979i | −0.255761 | − | 0.966740i | \(-0.582326\pi\) |
0.966740 | + | 0.255761i | \(0.0823260\pi\) | |||||||
\(368\) | 3.08957 | + | 1.93789i | 0.161055 | + | 0.101019i | ||||
\(369\) | 9.62220 | − | 28.4246i | 0.500912 | − | 1.47972i | ||||
\(370\) | 12.1462 | − | 11.1693i | 0.631451 | − | 0.580662i | ||||
\(371\) | 11.8144 | − | 7.89414i | 0.613374 | − | 0.409843i | ||||
\(372\) | 1.31481 | − | 25.9580i | 0.0681695 | − | 1.34586i | ||||
\(373\) | 9.51416 | − | 1.89248i | 0.492625 | − | 0.0979891i | 0.0574743 | − | 0.998347i | \(-0.481695\pi\) |
0.435150 | + | 0.900358i | \(0.356695\pi\) | |||||||
\(374\) | −2.89005 | − | 0.701813i | −0.149441 | − | 0.0362899i | ||||
\(375\) | 12.3717 | − | 8.87331i | 0.638872 | − | 0.458216i | ||||
\(376\) | −4.12794 | − | 15.0872i | −0.212882 | − | 0.778063i | ||||
\(377\) | −14.3520 | − | 34.6488i | −0.739165 | − | 1.78450i | ||||
\(378\) | 27.0942 | − | 1.56125i | 1.39358 | − | 0.0803018i | ||||
\(379\) | −8.54045 | + | 12.7817i | −0.438693 | + | 0.656551i | −0.983269 | − | 0.182161i | \(-0.941691\pi\) |
0.544575 | + | 0.838712i | \(0.316691\pi\) | |||||||
\(380\) | −14.0342 | − | 16.6064i | −0.719937 | − | 0.851892i | ||||
\(381\) | 4.40457 | + | 4.12186i | 0.225653 | + | 0.211169i | ||||
\(382\) | −2.46696 | − | 6.74106i | −0.126221 | − | 0.344903i | ||||
\(383\) | 0.474263 | 0.0242337 | 0.0121169 | − | 0.999927i | \(-0.496143\pi\) | ||||
0.0121169 | + | 0.999927i | \(0.496143\pi\) | |||||||
\(384\) | 2.59290 | + | 19.4236i | 0.132319 | + | 0.991207i | ||||
\(385\) | −18.0204 | −0.918403 | ||||||||
\(386\) | −5.01736 | − | 13.7101i | −0.255377 | − | 0.697826i | ||||
\(387\) | 2.28075 | + | 8.48335i | 0.115937 | + | 0.431233i | ||||
\(388\) | 16.1713 | + | 19.1353i | 0.820973 | + | 0.971446i | ||||
\(389\) | 3.08095 | − | 4.61097i | 0.156210 | − | 0.233785i | −0.745107 | − | 0.666945i | \(-0.767601\pi\) |
0.901317 | + | 0.433160i | \(0.142601\pi\) | |||||||
\(390\) | −15.0490 | + | 35.4527i | −0.762034 | + | 1.79522i | ||||
\(391\) | −0.531404 | − | 1.28292i | −0.0268742 | − | 0.0648802i | ||||
\(392\) | 18.1137 | − | 4.95601i | 0.914881 | − | 0.250316i | ||||
\(393\) | −7.90987 | − | 11.0284i | −0.399000 | − | 0.556310i | ||||
\(394\) | 5.50552 | + | 1.33695i | 0.277364 | + | 0.0673543i | ||||
\(395\) | −39.3643 | + | 7.83004i | −1.98063 | + | 0.393972i | ||||
\(396\) | 6.80707 | + | 4.72233i | 0.342068 | + | 0.237306i | ||||
\(397\) | 18.6371 | − | 12.4529i | 0.935369 | − | 0.624994i | 0.00833284 | − | 0.999965i | \(-0.497348\pi\) |
0.927036 | + | 0.374972i | \(0.122348\pi\) | |||||||
\(398\) | −13.4295 | + | 12.3494i | −0.673162 | + | 0.619018i | ||||
\(399\) | 19.1630 | − | 4.47667i | 0.959348 | − | 0.224114i | ||||
\(400\) | −29.1936 | + | 6.68761i | −1.45968 | + | 0.334380i | ||||
\(401\) | −1.22748 | + | 1.22748i | −0.0612974 | + | 0.0612974i | −0.737091 | − | 0.675794i | \(-0.763801\pi\) |
0.675794 | + | 0.737091i | \(0.263801\pi\) | |||||||
\(402\) | 2.39259 | + | 1.62908i | 0.119332 | + | 0.0812509i | ||||
\(403\) | −27.7584 | + | 18.5476i | −1.38274 | + | 0.923920i | ||||
\(404\) | 17.0809 | − | 1.93141i | 0.849807 | − | 0.0960915i | ||||
\(405\) | 14.0185 | − | 28.5476i | 0.696585 | − | 1.41854i | ||||
\(406\) | 22.9039 | + | 37.5953i | 1.13670 | + | 1.86582i | ||||
\(407\) | −1.74472 | + | 4.21212i | −0.0864823 | + | 0.208787i | ||||
\(408\) | 3.47971 | − | 6.60014i | 0.172271 | − | 0.326755i | ||||
\(409\) | 8.06274 | + | 19.4652i | 0.398677 | + | 0.962491i | 0.987980 | + | 0.154580i | \(0.0494023\pi\) |
−0.589303 | + | 0.807912i | \(0.700598\pi\) | |||||||
\(410\) | −40.3660 | − | 29.4887i | −1.99353 | − | 1.45634i | ||||
\(411\) | −2.81043 | − | 6.19583i | −0.138628 | − | 0.305618i | ||||
\(412\) | 15.6677 | − | 30.3573i | 0.771893 | − | 1.49560i | ||||
\(413\) | −1.71348 | + | 8.61426i | −0.0843150 | + | 0.423880i | ||||
\(414\) | 0.0944298 | + | 3.86711i | 0.00464097 | + | 0.190058i | ||||
\(415\) | −15.5844 | −0.765006 | ||||||||
\(416\) | 18.0285 | − | 17.5645i | 0.883918 | − | 0.861171i | ||||
\(417\) | −30.2759 | − | 18.8091i | −1.48262 | − | 0.921087i | ||||
\(418\) | 5.44895 | + | 2.52924i | 0.266517 | + | 0.123709i | ||||
\(419\) | 7.02653 | + | 1.39766i | 0.343269 | + | 0.0682804i | 0.363714 | − | 0.931511i | \(-0.381508\pi\) |
−0.0204456 | + | 0.999791i | \(0.506508\pi\) | |||||||
\(420\) | 11.0516 | − | 43.8376i | 0.539264 | − | 2.13906i | ||||
\(421\) | 4.50708 | − | 6.74533i | 0.219662 | − | 0.328747i | −0.705229 | − | 0.708979i | \(-0.749156\pi\) |
0.924891 | + | 0.380232i | \(0.124156\pi\) | |||||||
\(422\) | −16.2819 | − | 11.8944i | −0.792589 | − | 0.579012i | ||||
\(423\) | 10.9284 | − | 12.4826i | 0.531358 | − | 0.606927i | ||||
\(424\) | −3.44357 | + | 10.3228i | −0.167235 | + | 0.501321i | ||||
\(425\) | 10.5355 | + | 4.36394i | 0.511046 | + | 0.211682i | ||||
\(426\) | −19.8852 | − | 0.173630i | −0.963443 | − | 0.00841241i | ||||
\(427\) | 40.0087 | − | 7.95823i | 1.93616 | − | 0.385126i | ||||
\(428\) | −3.89299 | − | 3.10203i | −0.188175 | − | 0.149942i | ||||
\(429\) | −0.352647 | − | 10.6356i | −0.0170260 | − | 0.513489i | ||||
\(430\) | 14.6208 | + | 0.612628i | 0.705078 | + | 0.0295436i | ||||
\(431\) | −8.97176 | − | 8.97176i | −0.432154 | − | 0.432154i | 0.457206 | − | 0.889361i | \(-0.348850\pi\) |
−0.889361 | + | 0.457206i | \(0.848850\pi\) | |||||||
\(432\) | −15.6626 | + | 13.6632i | −0.753565 | + | 0.657373i | ||||
\(433\) | −15.2633 | + | 15.2633i | −0.733509 | + | 0.733509i | −0.971313 | − | 0.237804i | \(-0.923572\pi\) |
0.237804 | + | 0.971313i | \(0.423572\pi\) | |||||||
\(434\) | 28.8458 | − | 26.5257i | 1.38464 | − | 1.27327i | ||||
\(435\) | 51.5609 | − | 1.70962i | 2.47215 | − | 0.0819702i | ||||
\(436\) | −6.23875 | − | 1.79467i | −0.298782 | − | 0.0859493i | ||||
\(437\) | 0.547212 | + | 2.75102i | 0.0261767 | + | 0.131599i | ||||
\(438\) | −6.52300 | − | 6.63791i | −0.311681 | − | 0.317172i | ||||
\(439\) | −2.80587 | + | 6.77397i | −0.133917 | + | 0.323304i | −0.976586 | − | 0.215128i | \(-0.930983\pi\) |
0.842669 | + | 0.538432i | \(0.180983\pi\) | |||||||
\(440\) | 10.9046 | − | 8.45906i | 0.519856 | − | 0.403270i | ||||
\(441\) | 14.9867 | + | 13.1207i | 0.713651 | + | 0.624794i | ||||
\(442\) | −9.46956 | + | 1.47454i | −0.450421 | + | 0.0701366i | ||||
\(443\) | 2.06022 | + | 1.37659i | 0.0978839 | + | 0.0654040i | 0.603549 | − | 0.797326i | \(-0.293753\pi\) |
−0.505665 | + | 0.862730i | \(0.668753\pi\) | |||||||
\(444\) | −9.17669 | − | 6.82755i | −0.435506 | − | 0.324021i | ||||
\(445\) | −0.0750733 | + | 0.377419i | −0.00355881 | + | 0.0178914i | ||||
\(446\) | 7.29364 | + | 19.9301i | 0.345364 | + | 0.943718i | ||||
\(447\) | −18.9956 | + | 30.5760i | −0.898460 | + | 1.44620i | ||||
\(448\) | −17.7381 | + | 23.6282i | −0.838045 | + | 1.11633i | ||||
\(449\) | − | 12.7302i | − | 0.600774i | −0.953817 | − | 0.300387i | \(-0.902884\pi\) | ||
0.953817 | − | 0.300387i | \(-0.0971158\pi\) | |||||||
\(450\) | −23.0040 | − | 21.9073i | −1.08442 | − | 1.03272i | ||||
\(451\) | 13.5466 | + | 2.69459i | 0.637886 | + | 0.126883i | ||||
\(452\) | 20.7268 | + | 1.74001i | 0.974906 | + | 0.0818431i | ||||
\(453\) | −3.65434 | + | 1.65761i | −0.171696 | + | 0.0778815i | ||||
\(454\) | 3.17635 | + | 20.3987i | 0.149074 | + | 0.957358i | ||||
\(455\) | −53.6492 | + | 22.2222i | −2.51511 | + | 1.04179i | ||||
\(456\) | −9.49458 | + | 11.7044i | −0.444625 | + | 0.548107i | ||||
\(457\) | −24.7432 | − | 10.2490i | −1.15744 | − | 0.479426i | −0.280416 | − | 0.959879i | \(-0.590472\pi\) |
−0.877021 | + | 0.480453i | \(0.840472\pi\) | |||||||
\(458\) | −22.6512 | − | 5.50055i | −1.05842 | − | 0.257024i | ||||
\(459\) | 7.87475 | − | 0.785623i | 0.367562 | − | 0.0366698i | ||||
\(460\) | 6.19272 | + | 1.78143i | 0.288737 | + | 0.0830598i | ||||
\(461\) | 10.5730 | + | 15.8236i | 0.492432 | + | 0.736976i | 0.991574 | − | 0.129544i | \(-0.0413513\pi\) |
−0.499142 | + | 0.866520i | \(0.666351\pi\) | |||||||
\(462\) | 2.32984 | + | 12.2719i | 0.108394 | + | 0.570943i | ||||
\(463\) | 0.428275 | + | 0.428275i | 0.0199036 | + | 0.0199036i | 0.716989 | − | 0.697085i | \(-0.245520\pi\) |
−0.697085 | + | 0.716989i | \(0.745520\pi\) | |||||||
\(464\) | −31.5076 | − | 11.9985i | −1.46270 | − | 0.557015i | ||||
\(465\) | −10.4469 | − | 44.7194i | −0.484464 | − | 2.07381i | ||||
\(466\) | −0.959479 | + | 22.8986i | −0.0444470 | + | 1.06076i | ||||
\(467\) | 19.1176 | + | 28.6115i | 0.884657 | + | 1.32398i | 0.945428 | + | 0.325831i | \(0.105644\pi\) |
−0.0607716 | + | 0.998152i | \(0.519356\pi\) | |||||||
\(468\) | 26.0891 | + | 5.66475i | 1.20597 | + | 0.261853i | ||||
\(469\) | 0.851414 | + | 4.28035i | 0.0393146 | + | 0.197648i | ||||
\(470\) | −14.3788 | − | 23.6020i | −0.663247 | − | 1.08868i | ||||
\(471\) | 2.58655 | − | 1.85514i | 0.119182 | − | 0.0854804i | ||||
\(472\) | −3.00680 | − | 6.01705i | −0.138399 | − | 0.276957i | ||||
\(473\) | −3.73545 | + | 1.54727i | −0.171756 | + | 0.0711437i | ||||
\(474\) | 10.4217 | + | 25.7949i | 0.478683 | + | 1.18480i | ||||
\(475\) | −19.1523 | − | 12.7971i | −0.878767 | − | 0.587173i | ||||
\(476\) | 10.7169 | − | 3.42048i | 0.491211 | − | 0.156777i | ||||
\(477\) | −11.1464 | + | 2.99670i | −0.510357 | + | 0.137210i | ||||
\(478\) | 11.2270 | − | 24.1873i | 0.513513 | − | 1.10630i | ||||
\(479\) | − | 1.62319i | − | 0.0741654i | −0.999312 | − | 0.0370827i | \(-0.988194\pi\) | ||
0.999312 | − | 0.0370827i | \(-0.0118065\pi\) | |||||||
\(480\) | 13.8905 | + | 31.7151i | 0.634011 | + | 1.44759i | ||||
\(481\) | 14.6916i | 0.669880i | ||||||||
\(482\) | 23.2474 | + | 10.7907i | 1.05889 | + | 0.491505i | ||||
\(483\) | −3.98513 | + | 4.25846i | −0.181330 | + | 0.193767i | ||||
\(484\) | 8.34103 | − | 16.1613i | 0.379138 | − | 0.734606i | ||||
\(485\) | 36.8060 | + | 24.5930i | 1.67127 | + | 1.11671i | ||||
\(486\) | −21.2535 | − | 5.85575i | −0.964077 | − | 0.265622i | ||||
\(487\) | −17.8470 | + | 7.39248i | −0.808726 | + | 0.334985i | −0.748446 | − | 0.663196i | \(-0.769199\pi\) |
−0.0602804 | + | 0.998181i | \(0.519199\pi\) | |||||||
\(488\) | −20.4746 | + | 23.5965i | −0.926841 | + | 1.06816i | ||||
\(489\) | 10.9419 | + | 15.2558i | 0.494809 | + | 0.689893i | ||||
\(490\) | 28.3366 | − | 17.2633i | 1.28012 | − | 0.779874i | ||||
\(491\) | 4.82274 | + | 24.2456i | 0.217647 | + | 1.09419i | 0.922844 | + | 0.385175i | \(0.125859\pi\) |
−0.705196 | + | 0.709012i | \(0.749141\pi\) | |||||||
\(492\) | −14.8630 | + | 31.3020i | −0.670077 | + | 1.41120i | ||||
\(493\) | 7.13191 | + | 10.6737i | 0.321205 | + | 0.480717i | ||||
\(494\) | 19.3413 | + | 0.810423i | 0.870206 | + | 0.0364626i | ||||
\(495\) | 13.8652 | + | 4.69361i | 0.623195 | + | 0.210962i | ||||
\(496\) | −5.00375 | + | 29.5921i | −0.224675 | + | 1.32872i | ||||
\(497\) | −21.2010 | − | 21.2010i | −0.950996 | − | 0.950996i | ||||
\(498\) | 2.01489 | + | 10.6130i | 0.0902895 | + | 0.475581i | ||||
\(499\) | 7.36807 | + | 11.0271i | 0.329840 | + | 0.493640i | 0.958911 | − | 0.283708i | \(-0.0915645\pi\) |
−0.629071 | + | 0.777348i | \(0.716565\pi\) | |||||||
\(500\) | −15.3831 | + | 8.50992i | −0.687954 | + | 0.380575i | ||||
\(501\) | 21.6518 | + | 8.13878i | 0.967332 | + | 0.363614i | ||||
\(502\) | 6.19272 | − | 25.5015i | 0.276395 | − | 1.13819i | ||||
\(503\) | 22.2212 | + | 9.20431i | 0.990793 | + | 0.410400i | 0.818413 | − | 0.574631i | \(-0.194854\pi\) |
0.172380 | + | 0.985031i | \(0.444854\pi\) | |||||||
\(504\) | −31.2825 | − | 1.85847i | −1.39343 | − | 0.0827827i | ||||
\(505\) | 28.0603 | − | 11.6229i | 1.24867 | − | 0.517214i | ||||
\(506\) | −1.75921 | + | 0.273933i | −0.0782066 | + | 0.0121778i | ||||
\(507\) | −4.86395 | − | 10.7230i | −0.216016 | − | 0.476224i | ||||
\(508\) | −4.49613 | − | 5.32021i | −0.199484 | − | 0.236046i | ||||
\(509\) | −11.6720 | − | 2.32171i | −0.517354 | − | 0.102908i | −0.0704946 | − | 0.997512i | \(-0.522458\pi\) |
−0.446860 | + | 0.894604i | \(0.647458\pi\) | |||||||
\(510\) | 2.68469 | − | 12.9069i | 0.118880 | − | 0.571525i | ||||
\(511\) | − | 14.0318i | − | 0.620728i | ||||||
\(512\) | −0.357706 | − | 22.6246i | −0.0158085 | − | 0.999875i | ||||
\(513\) | −15.9103 | − | 1.54678i | −0.702459 | − | 0.0682919i | ||||
\(514\) | 9.78104 | − | 3.57948i | 0.431423 | − | 0.157884i | ||||
\(515\) | 11.7757 | − | 59.2004i | 0.518899 | − | 2.60868i | ||||
\(516\) | −1.47311 | − | 10.0360i | −0.0648501 | − | 0.441812i | ||||
\(517\) | 6.34911 | + | 4.24234i | 0.279234 | + | 0.186578i | ||||
\(518\) | −2.65336 | − | 17.0400i | −0.116582 | − | 0.748697i | ||||
\(519\) | −0.792030 | + | 4.80983i | −0.0347662 | + | 0.211128i | ||||
\(520\) | 22.0331 | − | 38.6311i | 0.966214 | − | 1.69409i | ||||
\(521\) | 3.86481 | − | 9.33049i | 0.169321 | − | 0.408776i | −0.816327 | − | 0.577589i | \(-0.803993\pi\) |
0.985648 | + | 0.168813i | \(0.0539935\pi\) | |||||||
\(522\) | −7.83053 | − | 34.8921i | −0.342733 | − | 1.52719i | ||||
\(523\) | 4.79573 | + | 24.1098i | 0.209703 | + | 1.05425i | 0.931943 | + | 0.362604i | \(0.118112\pi\) |
−0.722240 | + | 0.691642i | \(0.756888\pi\) | |||||||
\(524\) | 7.58594 | + | 13.7129i | 0.331393 | + | 0.599050i | ||||
\(525\) | −1.58722 | − | 47.8692i | −0.0692718 | − | 2.08918i | ||||
\(526\) | 21.9885 | + | 23.9118i | 0.958744 | + | 1.04260i | ||||
\(527\) | 8.08030 | − | 8.08030i | 0.351983 | − | 0.351983i | ||||
\(528\) | −7.17051 | − | 6.33241i | −0.312056 | − | 0.275583i | ||||
\(529\) | 15.6756 | + | 15.6756i | 0.681549 | + | 0.681549i | ||||
\(530\) | −0.804939 | + | 19.2104i | −0.0349643 | + | 0.834447i | ||||
\(531\) | 3.56207 | − | 6.18168i | 0.154581 | − | 0.268262i | ||||
\(532\) | −22.5794 | + | 2.55315i | −0.978939 | + | 0.110693i | ||||
\(533\) | 43.6532 | − | 8.68316i | 1.89083 | − | 0.376109i | ||||
\(534\) | 0.266730 | + | 0.00232898i | 0.0115425 | + | 0.000100785i | ||||
\(535\) | −8.12560 | − | 3.36573i | −0.351300 | − | 0.145513i | ||||
\(536\) | −2.52448 | − | 2.19048i | −0.109041 | − | 0.0946144i | ||||
\(537\) | −1.97841 | + | 12.0145i | −0.0853745 | + | 0.518462i | ||||
\(538\) | 4.80702 | − | 6.58015i | 0.207245 | − | 0.283691i | ||||
\(539\) | −5.09336 | + | 7.62275i | −0.219387 | + | 0.328335i | ||||
\(540\) | −19.9214 | + | 30.8510i | −0.857279 | + | 1.32762i | ||||
\(541\) | −2.98380 | − | 0.593515i | −0.128284 | − | 0.0255172i | 0.130531 | − | 0.991444i | \(-0.458332\pi\) |
−0.258815 | + | 0.965927i | \(0.583332\pi\) | |||||||
\(542\) | 9.35984 | − | 20.1646i | 0.402039 | − | 0.866145i | ||||
\(543\) | 23.7427 | − | 38.2171i | 1.01889 | − | 1.64005i | ||||
\(544\) | −4.87948 | + | 7.10054i | −0.209206 | + | 0.304433i | ||||
\(545\) | −11.4701 | −0.491327 | ||||||||
\(546\) | 22.0697 | + | 33.6622i | 0.944496 | + | 1.44061i | ||||
\(547\) | 5.92667 | − | 29.7954i | 0.253406 | − | 1.27396i | −0.619084 | − | 0.785325i | \(-0.712496\pi\) |
0.872490 | − | 0.488633i | \(-0.162504\pi\) | |||||||
\(548\) | 2.38863 | + | 7.48400i | 0.102037 | + | 0.319701i | ||||
\(549\) | −32.8563 | − | 4.29751i | −1.40227 | − | 0.183413i | ||||
\(550\) | 8.62479 | − | 11.8062i | 0.367762 | − | 0.503416i | ||||
\(551\) | −9.92296 | − | 23.9561i | −0.422732 | − | 1.02057i | ||||
\(552\) | 0.412511 | − | 4.44759i | 0.0175576 | − | 0.189302i | ||||
\(553\) | −16.0521 | + | 38.7532i | −0.682604 | + | 1.64795i | ||||
\(554\) | 0.965098 | − | 0.587958i | 0.0410031 | − | 0.0249799i | ||||
\(555\) | −18.9172 | − | 7.11085i | −0.802990 | − | 0.301839i | ||||
\(556\) | 32.1879 | + | 25.6481i | 1.36507 | + | 1.08772i | ||||
\(557\) | −27.1192 | + | 18.1205i | −1.14908 | + | 0.767790i | −0.976140 | − | 0.217143i | \(-0.930326\pi\) |
−0.172939 | + | 0.984933i | \(0.555326\pi\) | |||||||
\(558\) | −29.1034 | + | 12.8961i | −1.23205 | + | 0.545937i | ||||
\(559\) | −9.21290 | + | 9.21290i | −0.389664 | + | 0.389664i | ||||
\(560\) | −18.5781 | + | 48.7855i | −0.785068 | + | 2.06156i | ||||
\(561\) | 0.828604 | + | 3.54695i | 0.0349837 | + | 0.149752i | ||||
\(562\) | 2.74759 | + | 2.98791i | 0.115900 | + | 0.126038i | ||||
\(563\) | −34.3209 | + | 22.9325i | −1.44645 | + | 0.966489i | −0.449123 | + | 0.893470i | \(0.648263\pi\) |
−0.997331 | + | 0.0730192i | \(0.976737\pi\) | |||||||
\(564\) | −14.2140 | + | 12.8435i | −0.598519 | + | 0.540811i | ||||
\(565\) | 36.0444 | − | 7.16968i | 1.51640 | − | 0.301631i | ||||
\(566\) | −10.0437 | + | 41.3599i | −0.422170 | + | 1.73849i | ||||
\(567\) | −16.6677 | − | 28.7575i | −0.699976 | − | 1.20770i | ||||
\(568\) | 22.7814 | + | 2.87718i | 0.955886 | + | 0.120724i | ||||
\(569\) | 7.91757 | + | 19.1147i | 0.331922 | + | 0.801330i | 0.998440 | + | 0.0558410i | \(0.0177840\pi\) |
−0.666518 | + | 0.745489i | \(0.732216\pi\) | |||||||
\(570\) | −10.4048 | + | 24.5120i | −0.435811 | + | 1.02669i | ||||
\(571\) | 11.8416 | − | 17.7222i | 0.495556 | − | 0.741651i | −0.496420 | − | 0.868083i | \(-0.665352\pi\) |
0.991975 | + | 0.126431i | \(0.0403523\pi\) | |||||||
\(572\) | −1.02793 | + | 12.2446i | −0.0429798 | + | 0.511971i | ||||
\(573\) | −6.00715 | + | 6.41918i | −0.250952 | + | 0.268165i | ||||
\(574\) | −49.0629 | + | 17.9551i | −2.04785 | + | 0.749431i | ||||
\(575\) | 6.82674 | 0.284695 | ||||||||
\(576\) | 19.8022 | − | 13.5599i | 0.825093 | − | 0.564996i | ||||
\(577\) | 25.7108 | 1.07036 | 0.535178 | − | 0.844739i | \(-0.320245\pi\) | ||||
0.535178 | + | 0.844739i | \(0.320245\pi\) | |||||||
\(578\) | −19.4967 | + | 7.13502i | −0.810955 | + | 0.296778i | ||||
\(579\) | −12.2175 | + | 13.0555i | −0.507741 | + | 0.542566i | ||||
\(580\) | −59.3613 | − | 4.98336i | −2.46484 | − | 0.206923i | ||||
\(581\) | −9.04880 | + | 13.5425i | −0.375408 | + | 0.561837i | ||||
\(582\) | 11.9893 | − | 28.2446i | 0.496972 | − | 1.17078i | ||||
\(583\) | −2.03298 | − | 4.90804i | −0.0841973 | − | 0.203270i | ||||
\(584\) | 6.58674 | + | 8.49098i | 0.272561 | + | 0.351359i | ||||
\(585\) | 47.0668 | − | 3.12466i | 1.94597 | − | 0.129189i | ||||
\(586\) | −3.47903 | + | 14.3266i | −0.143717 | + | 0.591825i | ||||
\(587\) | −27.2847 | + | 5.42726i | −1.12616 | + | 0.224007i | −0.722815 | − | 0.691042i | \(-0.757152\pi\) |
−0.403344 | + | 0.915049i | \(0.632152\pi\) | |||||||
\(588\) | −15.4200 | − | 17.0654i | −0.635909 | − | 0.703765i | ||||
\(589\) | −19.1921 | + | 12.8238i | −0.790798 | + | 0.528395i | ||||
\(590\) | −8.04471 | − | 8.74836i | −0.331196 | − | 0.360164i | ||||
\(591\) | −1.57848 | − | 6.75689i | −0.0649300 | − | 0.277941i | ||||
\(592\) | 9.60450 | + | 9.06584i | 0.394743 | + | 0.372604i | ||||
\(593\) | −24.6273 | + | 24.6273i | −1.01132 | + | 1.01132i | −0.0113851 | + | 0.999935i | \(0.503624\pi\) |
−0.999935 | + | 0.0113851i | \(0.996376\pi\) | |||||||
\(594\) | 1.40374 | − | 10.0491i | 0.0575963 | − | 0.412320i | ||||
\(595\) | 16.5268 | − | 11.0429i | 0.677533 | − | 0.452713i | ||||
\(596\) | 25.9023 | − | 32.5069i | 1.06100 | − | 1.33154i | ||||
\(597\) | 20.9159 | + | 7.86216i | 0.856032 | + | 0.321777i | ||||
\(598\) | −4.89963 | + | 2.98495i | −0.200361 | + | 0.122064i | ||||
\(599\) | −13.3132 | + | 32.1409i | −0.543963 | + | 1.31324i | 0.377943 | + | 0.925829i | \(0.376632\pi\) |
−0.921906 | + | 0.387414i | \(0.873368\pi\) | |||||||
\(600\) | 23.4311 | + | 28.2218i | 0.956569 | + | 1.15215i | ||||
\(601\) | 7.28047 | + | 17.5766i | 0.296977 | + | 0.716965i | 0.999983 | + | 0.00578169i | \(0.00184038\pi\) |
−0.703007 | + | 0.711183i | \(0.748160\pi\) | |||||||
\(602\) | 9.02169 | − | 12.3495i | 0.367697 | − | 0.503327i | ||||
\(603\) | 0.459771 | − | 3.51514i | 0.0187233 | − | 0.143148i | ||||
\(604\) | 4.41411 | − | 1.40883i | 0.179608 | − | 0.0573246i | ||||
\(605\) | 6.26903 | − | 31.5165i | 0.254872 | − | 1.28133i | ||||
\(606\) | −11.5432 | − | 17.6064i | −0.468909 | − | 0.715213i | ||||
\(607\) | −10.4645 | −0.424739 | −0.212370 | − | 0.977189i | \(-0.568118\pi\) | ||||
−0.212370 | + | 0.977189i | \(0.568118\pi\) | |||||||
\(608\) | 12.4649 | − | 12.1441i | 0.505517 | − | 0.492508i | ||||
\(609\) | 28.4523 | − | 45.7980i | 1.15295 | − | 1.85583i | ||||
\(610\) | −23.2403 | + | 50.0683i | −0.940971 | + | 2.02721i | ||||
\(611\) | 24.1338 | + | 4.80050i | 0.976347 | + | 0.194208i | ||||
\(612\) | −9.13673 | − | 0.159569i | −0.369330 | − | 0.00645019i | ||||
\(613\) | 4.61631 | − | 6.90880i | 0.186451 | − | 0.279044i | −0.726455 | − | 0.687215i | \(-0.758833\pi\) |
0.912906 | + | 0.408171i | \(0.133833\pi\) | |||||||
\(614\) | 2.97213 | − | 4.06845i | 0.119946 | − | 0.164189i | ||||
\(615\) | −9.94787 | + | 60.4113i | −0.401137 | + | 2.43602i | ||||
\(616\) | −1.01918 | − | 14.3875i | −0.0410638 | − | 0.579688i | ||||
\(617\) | 1.58520 | + | 0.656613i | 0.0638179 | + | 0.0264343i | 0.414364 | − | 0.910111i | \(-0.364004\pi\) |
−0.350546 | + | 0.936545i | \(0.614004\pi\) | |||||||
\(618\) | −41.8382 | − | 0.365315i | −1.68298 | − | 0.0146951i | ||||
\(619\) | 24.9444 | − | 4.96175i | 1.00260 | − | 0.199430i | 0.333618 | − | 0.942708i | \(-0.391730\pi\) |
0.668982 | + | 0.743279i | \(0.266730\pi\) | |||||||
\(620\) | 5.95812 | + | 52.6920i | 0.239284 | + | 2.11616i | ||||
\(621\) | 4.17540 | − | 2.23857i | 0.167553 | − | 0.0898307i | ||||
\(622\) | 0.951971 | − | 22.7195i | 0.0381706 | − | 0.910967i | ||||
\(623\) | 0.284379 | + | 0.284379i | 0.0113934 | + | 0.0113934i | ||||
\(624\) | −29.1566 | − | 10.0100i | −1.16720 | − | 0.400721i | ||||
\(625\) | 4.50806 | − | 4.50806i | 0.180322 | − | 0.180322i | ||||
\(626\) | 20.1098 | + | 21.8688i | 0.803750 | + | 0.874052i | ||||
\(627\) | −0.243820 | − | 7.35342i | −0.00973724 | − | 0.293667i | ||||
\(628\) | −3.21615 | + | 1.77917i | −0.128338 | + | 0.0709965i | ||||
\(629\) | −0.981069 | − | 4.93217i | −0.0391178 | − | 0.196658i | ||||
\(630\) | −54.0260 | + | 12.1246i | −2.15245 | + | 0.483055i | ||||
\(631\) | 11.2810 | − | 27.2347i | 0.449089 | − | 1.08420i | −0.523575 | − | 0.851980i | \(-0.675402\pi\) |
0.972664 | − | 0.232217i | \(-0.0745980\pi\) | |||||||
\(632\) | −8.47784 | − | 30.9857i | −0.337230 | − | 1.23254i | ||||
\(633\) | −4.01254 | + | 24.3673i | −0.159484 | + | 0.968513i | ||||
\(634\) | −5.88761 | − | 37.8106i | −0.233827 | − | 1.50165i | ||||
\(635\) | −10.2332 | − | 6.83763i | −0.406094 | − | 0.271343i | ||||
\(636\) | 13.1864 | − | 1.93554i | 0.522877 | − | 0.0767490i | ||||
\(637\) | −5.76349 | + | 28.9750i | −0.228358 | + | 1.14803i | ||||
\(638\) | 15.4565 | − | 5.65646i | 0.611928 | − | 0.223942i | ||||
\(639\) | 10.7904 | + | 21.8345i | 0.426862 | + | 0.863760i | ||||
\(640\) | −11.6586 | − | 38.2422i | −0.460848 | − | 1.51166i | ||||
\(641\) | − | 7.35273i | − | 0.290415i | −0.989401 | − | 0.145208i | \(-0.953615\pi\) | ||
0.989401 | − | 0.145208i | \(-0.0463850\pi\) | |||||||
\(642\) | −1.24153 | + | 5.96872i | −0.0489991 | + | 0.235567i | ||||
\(643\) | −4.59538 | − | 0.914079i | −0.181224 | − | 0.0360477i | 0.103644 | − | 0.994614i | \(-0.466950\pi\) |
−0.284868 | + | 0.958567i | \(0.591950\pi\) | |||||||
\(644\) | 5.14373 | − | 4.34699i | 0.202691 | − | 0.171295i | ||||
\(645\) | −7.40359 | − | 16.3218i | −0.291516 | − | 0.642671i | ||||
\(646\) | −6.54725 | + | 1.01949i | −0.257598 | + | 0.0401115i | ||||
\(647\) | 34.8538 | − | 14.4369i | 1.37024 | − | 0.567574i | 0.428389 | − | 0.903594i | \(-0.359081\pi\) |
0.941855 | + | 0.336021i | \(0.109081\pi\) | |||||||
\(648\) | 23.5853 | + | 9.57782i | 0.926517 | + | 0.376252i | ||||
\(649\) | 3.03380 | + | 1.25664i | 0.119087 | + | 0.0493274i | ||||
\(650\) | 11.1182 | − | 45.7845i | 0.436091 | − | 1.79581i | ||||
\(651\) | −44.9260 | − | 16.8874i | −1.76079 | − | 0.661870i | ||||
\(652\) | −10.4938 | − | 18.9693i | −0.410968 | − | 0.742895i | ||||
\(653\) | −2.26295 | − | 3.38674i | −0.0885561 | − | 0.132534i | 0.784547 | − | 0.620070i | \(-0.212896\pi\) |
−0.873103 | + | 0.487536i | \(0.837896\pi\) | |||||||
\(654\) | 1.48297 | + | 7.81122i | 0.0579886 | + | 0.305443i | ||||
\(655\) | 19.5793 | + | 19.5793i | 0.765026 | + | 0.765026i | ||||
\(656\) | 21.2608 | − | 33.8960i | 0.830096 | − | 1.32342i | ||||
\(657\) | −3.65473 | + | 10.7963i | −0.142585 | + | 0.421204i | ||||
\(658\) | −28.8585 | − | 1.20920i | −1.12502 | − | 0.0471397i | ||||
\(659\) | 11.4690 | + | 17.1646i | 0.446770 | + | 0.668639i | 0.984681 | − | 0.174363i | \(-0.0557865\pi\) |
−0.537911 | + | 0.843001i | \(0.680787\pi\) | |||||||
\(660\) | −15.2688 | − | 7.25003i | −0.594337 | − | 0.282207i | ||||
\(661\) | −0.162121 | − | 0.815036i | −0.00630577 | − | 0.0317012i | 0.977504 | − | 0.210915i | \(-0.0676445\pi\) |
−0.983810 | + | 0.179214i | \(0.942644\pi\) | |||||||
\(662\) | −4.96999 | + | 3.02782i | −0.193164 | + | 0.117680i | ||||
\(663\) | 6.84087 | + | 9.53795i | 0.265677 | + | 0.370423i | ||||
\(664\) | −0.881404 | − | 12.4426i | −0.0342051 | − | 0.482866i | ||||
\(665\) | −37.0931 | + | 15.3644i | −1.43841 | + | 0.595808i | ||||
\(666\) | −2.39673 | + | 13.8020i | −0.0928713 | + | 0.534818i | ||||
\(667\) | 6.38980 | + | 4.26952i | 0.247414 | + | 0.165317i | ||||
\(668\) | −23.7346 | − | 12.2497i | −0.918321 | − | 0.473955i | ||||
\(669\) | 17.7603 | − | 18.9784i | 0.686652 | − | 0.733749i | ||||
\(670\) | −5.35658 | − | 2.48637i | −0.206943 | − | 0.0960567i | ||||
\(671\) | − | 15.2513i | − | 0.588771i | ||||||
\(672\) | 35.6251 | + | 6.34431i | 1.37427 | + | 0.244737i | ||||
\(673\) | 24.8299i | 0.957121i | 0.878055 | + | 0.478560i | \(0.158841\pi\) | ||||
−0.878055 | + | 0.478560i | \(0.841159\pi\) | |||||||
\(674\) | −3.52346 | + | 7.59087i | −0.135719 | + | 0.292390i | ||||
\(675\) | −11.2468 | + | 37.2449i | −0.432891 | + | 1.43356i | ||||
\(676\) | 4.13396 | + | 12.9524i | 0.158998 | + | 0.498169i | ||||
\(677\) | 9.22007 | + | 6.16065i | 0.354356 | + | 0.236773i | 0.719988 | − | 0.693986i | \(-0.244147\pi\) |
−0.365632 | + | 0.930759i | \(0.619147\pi\) | |||||||
\(678\) | −9.54274 | − | 23.6194i | −0.366487 | − | 0.907099i | ||||
\(679\) | 42.7416 | − | 17.7041i | 1.64027 | − | 0.679423i | ||||
\(680\) | −4.81710 | + | 14.4403i | −0.184727 | + | 0.553759i | ||||
\(681\) | 20.5460 | − | 14.7362i | 0.787326 | − | 0.564691i | ||||
\(682\) | −7.62273 | − | 12.5123i | −0.291890 | − | 0.479119i | ||||
\(683\) | −2.21498 | − | 11.1355i | −0.0847538 | − | 0.426086i | −0.999744 | − | 0.0226109i | \(-0.992802\pi\) |
0.914990 | − | 0.403475i | \(-0.132198\pi\) | |||||||
\(684\) | 18.0380 | + | 3.91661i | 0.689700 | + | 0.149755i | ||||
\(685\) | 7.71159 | + | 11.5412i | 0.294645 | + | 0.440967i | ||||
\(686\) | −0.0788144 | + | 1.88096i | −0.00300915 | + | 0.0718154i | ||||
\(687\) | 6.49430 | + | 27.7997i | 0.247773 | + | 1.06062i | ||||
\(688\) | 0.337784 | + | 11.7079i | 0.0128779 | + | 0.446360i | ||||
\(689\) | −12.1049 | − | 12.1049i | −0.461161 | − | 0.461161i | ||||
\(690\) | −1.47203 | − | 7.75359i | −0.0560391 | − | 0.295174i | ||||
\(691\) | −21.0411 | − | 31.4903i | −0.800442 | − | 1.19795i | −0.976912 | − | 0.213640i | \(-0.931468\pi\) |
0.176471 | − | 0.984306i | \(-0.443532\pi\) | |||||||
\(692\) | 1.55608 | − | 5.40934i | 0.0591534 | − | 0.205632i | ||||
\(693\) | 12.1293 | − | 9.32332i | 0.460753 | − | 0.354164i | ||||
\(694\) | −10.5860 | − | 2.57069i | −0.401841 | − | 0.0975820i | ||||
\(695\) | 67.1838 | + | 27.8284i | 2.54843 | + | 1.05559i | ||||
\(696\) | 4.28109 | + | 41.0696i | 0.162274 | + | 1.55674i | ||||
\(697\) | −14.0751 | + | 5.83010i | −0.533133 | + | 0.220831i | ||||
\(698\) | −6.50845 | − | 41.7976i | −0.246349 | − | 1.58206i | ||||
\(699\) | 25.5627 | − | 11.5953i | 0.966870 | − | 0.438573i | ||||
\(700\) | −4.62656 | + | 55.1111i | −0.174867 | + | 2.08300i | ||||
\(701\) | −22.0599 | − | 4.38799i | −0.833192 | − | 0.165732i | −0.239979 | − | 0.970778i | \(-0.577141\pi\) |
−0.593213 | + | 0.805046i | \(0.702141\pi\) | |||||||
\(702\) | −8.21314 | − | 31.6487i | −0.309985 | − | 1.19450i | ||||
\(703\) | 10.1578i | 0.383108i | ||||||||
\(704\) | 7.37046 | + | 8.22783i | 0.277785 | + | 0.310098i | ||||
\(705\) | −17.8621 | + | 28.7516i | −0.672727 | + | 1.08285i | ||||
\(706\) | 16.9442 | + | 46.3005i | 0.637702 | + | 1.74254i | ||||
\(707\) | 6.19263 | − | 31.1325i | 0.232898 | − | 1.17086i | ||||
\(708\) | −4.91757 | + | 6.60955i | −0.184814 | + | 0.248402i | ||||
\(709\) | 34.9257 | + | 23.3366i | 1.31166 | + | 0.876426i | 0.997340 | − | 0.0728900i | \(-0.0232222\pi\) |
0.314324 | + | 0.949316i | \(0.398222\pi\) | |||||||
\(710\) | 40.0886 | − | 6.24234i | 1.50450 | − | 0.234271i | ||||
\(711\) | 22.4445 | − | 25.6365i | 0.841734 | − | 0.961443i | ||||
\(712\) | −0.305578 | − | 0.0385929i | −0.0114520 | − | 0.00144633i | ||||
\(713\) | 2.61792 | − | 6.32021i | 0.0980417 | − | 0.236694i | ||||
\(714\) | −9.65697 | − | 9.82710i | −0.361403 | − | 0.367770i | ||||
\(715\) | 4.23556 | + | 21.2936i | 0.158401 | + | 0.796335i | ||||
\(716\) | 3.88693 | − | 13.5120i | 0.145261 | − | 0.504966i | ||||
\(717\) | −32.6410 | + | 1.08229i | −1.21900 | + | 0.0404189i | ||||
\(718\) | 18.8107 | − | 17.2977i | 0.702008 | − | 0.645544i | ||||
\(719\) | 25.4632 | − | 25.4632i | 0.949618 | − | 0.949618i | −0.0491720 | − | 0.998790i | \(-0.515658\pi\) |
0.998790 | + | 0.0491720i | \(0.0156583\pi\) | |||||||
\(720\) | 27.0011 | − | 32.6976i | 1.00627 | − | 1.21857i | ||||
\(721\) | −44.6065 | − | 44.6065i | −1.66123 | − | 1.66123i | ||||
\(722\) | −13.4739 | − | 0.564573i | −0.501448 | − | 0.0210112i | ||||
\(723\) | −1.04023 | − | 31.3726i | −0.0386867 | − | 1.16676i | ||||
\(724\) | −32.3755 | + | 40.6306i | −1.20322 | + | 1.51002i | ||||
\(725\) | −61.8969 | + | 12.3121i | −2.29879 | + | 0.457259i | ||||
\(726\) | −22.2734 | − | 0.194483i | −0.826644 | − | 0.00721793i | ||||
\(727\) | −9.12297 | − | 3.77886i | −0.338352 | − | 0.140150i | 0.207037 | − | 0.978333i | \(-0.433618\pi\) |
−0.545389 | + | 0.838183i | \(0.683618\pi\) | |||||||
\(728\) | −20.7765 | − | 41.5768i | −0.770028 | − | 1.54094i | ||||
\(729\) | 5.33421 | + | 26.4678i | 0.197563 | + | 0.980290i | ||||
\(730\) | 15.3319 | + | 11.2005i | 0.567460 | + | 0.414548i | ||||
\(731\) | 2.47768 | − | 3.70811i | 0.0916402 | − | 0.137149i | ||||
\(732\) | 37.1015 | + | 9.35342i | 1.37131 | + | 0.345712i | ||||
\(733\) | −12.7770 | − | 2.54150i | −0.471928 | − | 0.0938724i | −0.0466042 | − | 0.998913i | \(-0.514840\pi\) |
−0.425324 | + | 0.905041i | \(0.639840\pi\) | |||||||
\(734\) | 24.7087 | + | 11.4691i | 0.912016 | + | 0.423331i | ||||
\(735\) | −34.5192 | − | 21.4453i | −1.27326 | − | 0.791022i | ||||
\(736\) | −1.07206 | + | 5.04503i | −0.0395166 | + | 0.185962i | ||||
\(737\) | 1.63167 | 0.0601033 | ||||||||
\(738\) | 42.4265 | − | 1.03600i | 1.56174 | − | 0.0381357i | ||||
\(739\) | 3.73646 | − | 18.7844i | 0.137448 | − | 0.690997i | −0.849192 | − | 0.528083i | \(-0.822911\pi\) |
0.986640 | − | 0.162914i | \(-0.0520892\pi\) | |||||||
\(740\) | 20.7369 | + | 10.7025i | 0.762305 | + | 0.393433i | ||||
\(741\) | −9.79392 | − | 21.5915i | −0.359789 | − | 0.793184i | ||||
\(742\) | 16.2261 | + | 11.8537i | 0.595678 | + | 0.435163i | ||||
\(743\) | 15.5455 | + | 37.5302i | 0.570310 | + | 1.37685i | 0.901292 | + | 0.433213i | \(0.142620\pi\) |
−0.330982 | + | 0.943637i | \(0.607380\pi\) | |||||||
\(744\) | 35.1132 | − | 10.8700i | 1.28731 | − | 0.398514i | ||||
\(745\) | 28.1043 | − | 67.8497i | 1.02966 | − | 2.48582i | ||||
\(746\) | 7.13746 | + | 11.7157i | 0.261321 | + | 0.428943i | ||||
\(747\) | 10.4896 | − | 8.06299i | 0.383795 | − | 0.295009i | ||||
\(748\) | −0.472572 | − | 4.17930i | −0.0172790 | − | 0.152810i | ||||
\(749\) | −7.64275 | + | 5.10672i | −0.279260 | + | 0.186596i | ||||
\(750\) | 17.7973 | + | 12.1179i | 0.649867 | + | 0.442483i | ||||
\(751\) | −15.2299 | + | 15.2299i | −0.555747 | + | 0.555747i | −0.928094 | − | 0.372346i | \(-0.878553\pi\) |
0.372346 | + | 0.928094i | \(0.378553\pi\) | |||||||
\(752\) | 18.0307 | − | 12.8149i | 0.657511 | − | 0.467313i | ||||
\(753\) | −31.2979 | + | 7.31151i | −1.14056 | + | 0.266446i | ||||
\(754\) | 39.0407 | − | 35.9006i | 1.42178 | − | 1.30742i | ||||
\(755\) | 6.80709 | − | 4.54835i | 0.247735 | − | 0.165531i | ||||
\(756\) | 15.2419 | + | 35.2244i | 0.554342 | + | 1.28110i | ||||
\(757\) | −47.7615 | + | 9.50036i | −1.73592 | + | 0.345296i | −0.958806 | − | 0.284061i | \(-0.908318\pi\) |
−0.777116 | + | 0.629357i | \(0.783318\pi\) | |||||||
\(758\) | −21.1259 | − | 5.13015i | −0.767326 | − | 0.186336i | ||||
\(759\) | 1.27087 | + | 1.77192i | 0.0461296 | + | 0.0643167i | ||||
\(760\) | 15.2336 | − | 26.7095i | 0.552583 | − | 0.968856i | ||||
\(761\) | 18.9859 | + | 45.8359i | 0.688237 | + | 1.66155i | 0.748303 | + | 0.663357i | \(0.230869\pi\) |
−0.0600660 | + | 0.998194i | \(0.519131\pi\) | |||||||
\(762\) | −3.33341 | + | 7.85291i | −0.120757 | + | 0.284481i | ||||
\(763\) | −6.65995 | + | 9.96732i | −0.241106 | + | 0.360841i | ||||
\(764\) | 7.75363 | − | 6.55262i | 0.280517 | − | 0.237066i | ||||
\(765\) | −15.5923 | + | 4.19199i | −0.563740 | + | 0.151562i | ||||
\(766\) | 0.230503 | + | 0.629857i | 0.00832841 | + | 0.0227577i | ||||
\(767\) | 10.5817 | 0.382083 | ||||||||
\(768\) | −24.5358 | + | 12.8839i | −0.885359 | + | 0.464908i | ||||
\(769\) | −33.7659 | −1.21763 | −0.608816 | − | 0.793312i | \(-0.708355\pi\) | ||||
−0.608816 | + | 0.793312i | \(0.708355\pi\) | |||||||
\(770\) | −8.75832 | − | 23.9324i | −0.315628 | − | 0.862464i | ||||
\(771\) | −9.31400 | − | 8.71617i | −0.335436 | − | 0.313905i | ||||
\(772\) | 15.7695 | − | 13.3269i | 0.567556 | − | 0.479644i | ||||
\(773\) | 6.58543 | − | 9.85580i | 0.236862 | − | 0.354488i | −0.693928 | − | 0.720045i | \(-0.744121\pi\) |
0.930789 | + | 0.365556i | \(0.119121\pi\) | |||||||
\(774\) | −10.1580 | + | 7.15211i | −0.365122 | + | 0.257077i | ||||
\(775\) | 21.4986 | + | 51.9022i | 0.772252 | + | 1.86438i | ||||
\(776\) | −17.5534 | + | 30.7768i | −0.630131 | + | 1.10482i | ||||
\(777\) | −17.1631 | + | 12.3098i | −0.615724 | + | 0.441613i | ||||
\(778\) | 7.62113 | + | 1.85069i | 0.273231 | + | 0.0663506i | ||||
\(779\) | 30.1818 | − | 6.00353i | 1.08138 | − | 0.215099i | ||||
\(780\) | −54.3979 | − | 2.75533i | −1.94776 | − | 0.0986565i | ||||
\(781\) | −9.32062 | + | 6.22784i | −0.333518 | + | 0.222850i | ||||
\(782\) | 1.44554 | − | 1.32927i | 0.0516925 | − | 0.0475347i | ||||
\(783\) | −33.8204 | + | 27.8271i | −1.20864 | + | 0.994460i | ||||
\(784\) | 15.3856 | + | 21.6476i | 0.549487 | + | 0.773130i | ||||
\(785\) | −4.59202 | + | 4.59202i | −0.163896 | + | 0.163896i | ||||
\(786\) | 10.8022 | − | 15.8650i | 0.385301 | − | 0.565885i | ||||
\(787\) | 18.4705 | − | 12.3416i | 0.658403 | − | 0.439931i | −0.180969 | − | 0.983489i | \(-0.557923\pi\) |
0.839371 | + | 0.543558i | \(0.182923\pi\) | |||||||
\(788\) | 0.900245 | + | 7.96152i | 0.0320699 | + | 0.283617i | ||||
\(789\) | 13.9989 | − | 37.2415i | 0.498372 | − | 1.32583i | ||||
\(790\) | −29.5308 | − | 48.4731i | −1.05066 | − | 1.72460i | ||||
\(791\) | 14.6983 | − | 35.4848i | 0.522611 | − | 1.26169i | ||||
\(792\) | −2.96321 | + | 11.3355i | −0.105293 | + | 0.402788i | ||||
\(793\) | −18.8075 | − | 45.4054i | −0.667875 | − | 1.61239i | ||||
\(794\) | 25.5965 | + | 18.6990i | 0.908384 | + | 0.663604i | ||||
\(795\) | 21.4454 | − | 9.72765i | 0.760590 | − | 0.345004i | ||||
\(796\) | −22.9280 | − | 11.8333i | −0.812660 | − | 0.419422i | ||||
\(797\) | 6.18293 | − | 31.0837i | 0.219011 | − | 1.10104i | −0.702201 | − | 0.711979i | \(-0.747799\pi\) |
0.921211 | − | 0.389062i | \(-0.127201\pi\) | |||||||
\(798\) | 15.2590 | + | 23.2741i | 0.540162 | + | 0.823893i | ||||
\(799\) | −8.42259 | −0.297970 | ||||||||
\(800\) | −23.0704 | − | 35.5209i | −0.815662 | − | 1.25585i | ||||
\(801\) | −0.144737 | − | 0.292877i | −0.00511403 | − | 0.0103483i | ||||
\(802\) | −2.22677 | − | 1.03360i | −0.0786299 | − | 0.0364977i | ||||
\(803\) | −5.14532 | − | 1.02347i | −0.181575 | − | 0.0361174i | ||||
\(804\) | −1.00068 | + | 3.96931i | −0.0352912 | + | 0.139987i | ||||
\(805\) | 6.61082 | − | 9.89379i | 0.233001 | − | 0.348710i | ||||
\(806\) | −38.1238 | − | 27.8507i | −1.34285 | − | 0.980998i | ||||
\(807\) | −9.84779 | − | 1.62163i | −0.346659 | − | 0.0570839i | ||||
\(808\) | 10.8668 | + | 21.7460i | 0.382292 | + | 0.765022i | ||||
\(809\) | −42.0193 | − | 17.4049i | −1.47732 | − | 0.611925i | −0.508804 | − | 0.860882i | \(-0.669912\pi\) |
−0.968515 | + | 0.248957i | \(0.919912\pi\) | |||||||
\(810\) | 44.7266 | + | 4.74281i | 1.57153 | + | 0.166645i | ||||
\(811\) | −45.9109 | + | 9.13225i | −1.61215 | + | 0.320677i | −0.917214 | − | 0.398394i | \(-0.869568\pi\) |
−0.694937 | + | 0.719071i | \(0.744568\pi\) | |||||||
\(812\) | −38.7976 | + | 48.6902i | −1.36153 | + | 1.70869i | ||||
\(813\) | −27.2124 | + | 0.902292i | −0.954380 | + | 0.0316448i | ||||
\(814\) | −6.44197 | − | 0.269926i | −0.225791 | − | 0.00946091i | ||||
\(815\) | −27.0844 | − | 27.0844i | −0.948726 | − | 0.948726i | ||||
\(816\) | 10.4567 | + | 1.41349i | 0.366057 | + | 0.0494821i | ||||
\(817\) | −6.36980 | + | 6.36980i | −0.222851 | + | 0.222851i | ||||
\(818\) | −21.9325 | + | 20.1685i | −0.766853 | + | 0.705173i | ||||
\(819\) | 24.6133 | − | 42.7143i | 0.860058 | − | 1.49256i | ||||
\(820\) | 19.5444 | − | 67.9412i | 0.682518 | − | 2.37261i | ||||
\(821\) | 6.81834 | + | 34.2781i | 0.237962 | + | 1.19631i | 0.896250 | + | 0.443549i | \(0.146281\pi\) |
−0.658288 | + | 0.752766i | \(0.728719\pi\) | |||||||
\(822\) | 6.86259 | − | 6.74378i | 0.239360 | − | 0.235216i | ||||
\(823\) | −3.45114 | + | 8.33178i | −0.120299 | + | 0.290428i | −0.972545 | − | 0.232713i | \(-0.925240\pi\) |
0.852246 | + | 0.523141i | \(0.175240\pi\) | |||||||
\(824\) | 47.9316 | + | 6.05353i | 1.66978 | + | 0.210885i | ||||
\(825\) | −17.6690 | − | 2.90953i | −0.615155 | − | 0.101297i | ||||
\(826\) | −12.2732 | + | 1.91110i | −0.427038 | + | 0.0664956i | ||||
\(827\) | −1.42295 | − | 0.950787i | −0.0494809 | − | 0.0330621i | 0.530584 | − | 0.847633i | \(-0.321973\pi\) |
−0.580065 | + | 0.814570i | \(0.696973\pi\) | |||||||
\(828\) | −5.08991 | + | 2.00491i | −0.176887 | + | 0.0696755i | ||||
\(829\) | 0.820323 | − | 4.12404i | 0.0284910 | − | 0.143234i | −0.963922 | − | 0.266187i | \(-0.914236\pi\) |
0.992413 | + | 0.122953i | \(0.0392363\pi\) | |||||||
\(830\) | −7.57436 | − | 20.6972i | −0.262910 | − | 0.718410i | ||||
\(831\) | −1.17567 | − | 0.730392i | −0.0407834 | − | 0.0253370i | ||||
\(832\) | 32.0892 | + | 15.4064i | 1.11249 | + | 0.534120i | ||||
\(833\) | − | 10.1122i | − | 0.350366i | ||||||
\(834\) | 10.2651 | − | 49.3503i | 0.355452 | − | 1.70886i | ||||
\(835\) | −46.2854 | − | 9.20673i | −1.60177 | − | 0.318612i | ||||
\(836\) | −0.710708 | + | 8.46588i | −0.0245804 | + | 0.292799i | ||||
\(837\) | 30.1684 | + | 24.6950i | 1.04277 | + | 0.853584i | ||||
\(838\) | 1.55886 | + | 10.0111i | 0.0538498 | + | 0.345826i | ||||
\(839\) | −51.5648 | + | 21.3589i | −1.78022 | + | 0.737390i | −0.787586 | + | 0.616205i | \(0.788669\pi\) |
−0.992630 | + | 0.121185i | \(0.961331\pi\) | |||||||
\(840\) | 63.5910 | − | 6.62872i | 2.19410 | − | 0.228713i | ||||
\(841\) | −38.8429 | − | 16.0892i | −1.33941 | − | 0.554801i | ||||
\(842\) | 11.1488 | + | 2.70736i | 0.384214 | + | 0.0933017i | ||||
\(843\) | 1.74924 | − | 4.65354i | 0.0602469 | − | 0.160277i | ||||
\(844\) | 7.88334 | − | 27.4045i | 0.271356 | − | 0.943302i | ||||
\(845\) | 13.3463 | + | 19.9741i | 0.459126 | + | 0.687131i | ||||
\(846\) | 21.8893 | + | 8.44691i | 0.752571 | + | 0.290411i | ||||
\(847\) | −23.7472 | − | 23.7472i | −0.815964 | − | 0.815964i | ||||
\(848\) | −15.3831 | + | 0.443818i | −0.528259 | + | 0.0152408i | ||||
\(849\) | 50.7608 | − | 11.8583i | 1.74211 | − | 0.406975i | ||||
\(850\) | −0.675149 | + | 16.1129i | −0.0231574 | + | 0.552668i | ||||
\(851\) | −1.67254 | − | 2.50313i | −0.0573339 | − | 0.0858063i | ||||
\(852\) | −9.43409 | − | 26.4935i | −0.323207 | − | 0.907651i | ||||
\(853\) | 1.80310 | + | 9.06478i | 0.0617368 | + | 0.310372i | 0.999299 | − | 0.0374467i | \(-0.0119224\pi\) |
−0.937562 | + | 0.347819i | \(0.886922\pi\) | |||||||
\(854\) | 30.0143 | + | 49.2667i | 1.02707 | + | 1.68587i | ||||
\(855\) | 32.5419 | − | 2.16039i | 1.11291 | − | 0.0738837i | ||||
\(856\) | 2.22765 | − | 6.67785i | 0.0761394 | − | 0.228244i | ||||
\(857\) | −1.10169 | + | 0.456333i | −0.0376329 | + | 0.0155880i | −0.401420 | − | 0.915894i | \(-0.631483\pi\) |
0.363788 | + | 0.931482i | \(0.381483\pi\) | |||||||
\(858\) | 13.9534 | − | 5.63747i | 0.476362 | − | 0.192460i | ||||
\(859\) | −35.2780 | − | 23.5720i | −1.20367 | − | 0.804266i | −0.218498 | − | 0.975837i | \(-0.570116\pi\) |
−0.985172 | + | 0.171571i | \(0.945116\pi\) | |||||||
\(860\) | 6.29243 | + | 19.7153i | 0.214570 | + | 0.672285i | ||||
\(861\) | 46.7202 | + | 43.7214i | 1.59222 | + | 1.49002i | ||||
\(862\) | 7.55468 | − | 16.2756i | 0.257313 | − | 0.554351i | ||||
\(863\) | − | 0.341243i | − | 0.0116161i | −0.999983 | − | 0.00580803i | \(-0.998151\pi\) | ||
0.999983 | − | 0.00580803i | \(-0.00184876\pi\) | |||||||
\(864\) | −25.7582 | − | 14.1604i | −0.876311 | − | 0.481746i | ||||
\(865\) | − | 9.94525i | − | 0.338149i | ||||||
\(866\) | −27.6892 | − | 12.8525i | −0.940917 | − | 0.436746i | ||||
\(867\) | 18.5657 | + | 17.3740i | 0.630525 | + | 0.590054i | ||||
\(868\) | 49.2478 | + | 25.4173i | 1.67158 | + | 0.862718i | ||||
\(869\) | 13.0396 | + | 8.71280i | 0.442339 | + | 0.295561i | ||||
\(870\) | 27.3303 | + | 67.6457i | 0.926583 | + | 2.29341i | ||||
\(871\) | 4.85771 | − | 2.01213i | 0.164597 | − | 0.0681784i | ||||
\(872\) | −0.648716 | − | 9.15778i | −0.0219683 | − | 0.310122i | ||||
\(873\) | −37.4974 | + | 2.48937i | −1.26910 | + | 0.0842525i | ||||
\(874\) | −3.38760 | + | 2.06380i | −0.114587 | + | 0.0698090i | ||||
\(875\) | 6.33325 | + | 31.8394i | 0.214103 | + | 1.07637i | ||||
\(876\) | 5.64531 | − | 11.8892i | 0.190738 | − | 0.401699i | ||||
\(877\) | 25.7297 | + | 38.5072i | 0.868829 | + | 1.30029i | 0.952729 | + | 0.303820i | \(0.0982623\pi\) |
−0.0839003 | + | 0.996474i | \(0.526738\pi\) | |||||||
\(878\) | −10.3601 | − | 0.434098i | −0.349635 | − | 0.0146501i | ||||
\(879\) | 17.5829 | − | 4.10756i | 0.593058 | − | 0.138545i | ||||
\(880\) | 16.5342 | + | 10.3708i | 0.557366 | + | 0.349600i | ||||
\(881\) | −22.1495 | − | 22.1495i | −0.746235 | − | 0.746235i | 0.227535 | − | 0.973770i | \(-0.426933\pi\) |
−0.973770 | + | 0.227535i | \(0.926933\pi\) | |||||||
\(882\) | −10.1414 | + | 26.2804i | −0.341478 | + | 0.884906i | ||||
\(883\) | −27.6724 | − | 41.4147i | −0.931251 | − | 1.39372i | −0.919201 | − | 0.393788i | \(-0.871164\pi\) |
−0.0120494 | − | 0.999927i | \(-0.503836\pi\) | |||||||
\(884\) | −6.56072 | − | 11.8596i | −0.220661 | − | 0.398882i | ||||
\(885\) | −5.12162 | + | 13.6252i | −0.172161 | + | 0.458006i | ||||
\(886\) | −0.826905 | + | 3.40518i | −0.0277804 | + | 0.114399i | ||||
\(887\) | −0.0137020 | − | 0.00567556i | −0.000460069 | − | 0.000190567i | 0.382453 | − | 0.923975i | \(-0.375079\pi\) |
−0.382913 | + | 0.923784i | \(0.625079\pi\) | |||||||
\(888\) | 4.60741 | − | 15.5057i | 0.154615 | − | 0.520336i | ||||
\(889\) | −11.8835 | + | 4.92232i | −0.398561 | + | 0.165089i | ||||
\(890\) | −0.537728 | + | 0.0837314i | −0.0180247 | + | 0.00280668i | ||||
\(891\) | −11.7609 | + | 4.01434i | −0.394003 | + | 0.134485i | ||||
\(892\) | −22.9238 | + | 19.3730i | −0.767545 | + | 0.648655i | ||||
\(893\) | 16.6861 | + | 3.31907i | 0.558378 | + | 0.111068i | ||||
\(894\) | −49.8395 | − | 10.3669i | −1.66688 | − | 0.346720i | ||||
\(895\) | − | 24.8422i | − | 0.830383i | ||||||
\(896\) | −40.0011 | − | 12.0736i | −1.33634 | − | 0.403351i | ||||
\(897\) | 5.96864 | + | 3.70806i | 0.199287 | + | 0.123809i | ||||
\(898\) | 16.9066 | − | 6.18716i | 0.564181 | − | 0.206468i | ||||
\(899\) | −12.3377 | + | 62.0257i | −0.411485 | + | 2.06867i | ||||
\(900\) | 17.9141 | − | 41.1985i | 0.597136 | − | 1.37328i | ||||
\(901\) | 4.87212 | + | 3.25545i | 0.162314 | + | 0.108455i | ||||
\(902\) | 3.00536 | + | 19.3006i | 0.100068 | + | 0.642639i | ||||
\(903\) | −18.4821 | − | 3.04343i | −0.615046 | − | 0.101279i | ||||
\(904\) | 7.76284 | + | 28.3724i | 0.258188 | + | 0.943652i | ||||
\(905\) | −35.1277 | + | 84.8057i | −1.16768 | + | 2.81904i | ||||
\(906\) | −3.97753 | − | 4.04760i | −0.132145 | − | 0.134473i | ||||
\(907\) | 0.607801 | + | 3.05562i | 0.0201817 | + | 0.101460i | 0.989563 | − | 0.144099i | \(-0.0460284\pi\) |
−0.969382 | + | 0.245559i | \(0.921028\pi\) | |||||||
\(908\) | −25.5472 | + | 14.1327i | −0.847814 | + | 0.469009i | ||||
\(909\) | −12.8735 | + | 22.3410i | −0.426988 | + | 0.741003i | ||||
\(910\) | −55.5875 | − | 60.4496i | −1.84271 | − | 2.00389i | ||||
\(911\) | −22.9549 | + | 22.9549i | −0.760529 | + | 0.760529i | −0.976418 | − | 0.215889i | \(-0.930735\pi\) |
0.215889 | + | 0.976418i | \(0.430735\pi\) | |||||||
\(912\) | −20.1588 | − | 6.92092i | −0.667526 | − | 0.229175i | ||||
\(913\) | 4.30590 | + | 4.30590i | 0.142505 | + | 0.142505i | ||||
\(914\) | 1.58562 | − | 37.8420i | 0.0524478 | − | 1.25170i | ||||
\(915\) | 67.5678 | − | 2.24037i | 2.23372 | − | 0.0740644i | ||||
\(916\) | −3.70385 | − | 32.7558i | −0.122379 | − | 1.08228i | ||||
\(917\) | 28.3824 | − | 5.64561i | 0.937269 | − | 0.186434i | ||||
\(918\) | 4.87068 | + | 10.0764i | 0.160756 | + | 0.332572i | ||||
\(919\) | 23.5333 | + | 9.74781i | 0.776292 | + | 0.321551i | 0.735418 | − | 0.677614i | \(-0.236986\pi\) |
0.0408739 | + | 0.999164i | \(0.486986\pi\) | |||||||
\(920\) | 0.643930 | + | 9.09022i | 0.0212297 | + | 0.299696i | ||||
\(921\) | −6.08880 | − | 1.00264i | −0.200633 | − | 0.0330380i | ||||
\(922\) | −15.8762 | + | 21.7323i | −0.522853 | + | 0.715715i | ||||
\(923\) | −20.0688 | + | 30.0351i | −0.660573 | + | 0.988618i | ||||
\(924\) | −15.1657 | + | 9.05865i | −0.498915 | + | 0.298008i | ||||
\(925\) | 24.2474 | + | 4.82312i | 0.797251 | + | 0.158583i | ||||
\(926\) | −0.360629 | + | 0.776932i | −0.0118510 | + | 0.0255316i | ||||
\(927\) | 22.7028 | + | 45.9394i | 0.745659 | + | 1.50885i | ||||
\(928\) | 0.621430 | − | 47.6760i | 0.0203995 | − | 1.56504i | ||||
\(929\) | 29.0039 | 0.951588 | 0.475794 | − | 0.879557i | \(-0.342161\pi\) | ||||
0.475794 | + | 0.879557i | \(0.342161\pi\) | |||||||
\(930\) | 54.3132 | − | 35.6089i | 1.78100 | − | 1.16766i | ||||
\(931\) | −3.98487 | + | 20.0333i | −0.130599 | + | 0.656566i | ||||
\(932\) | −30.8774 | + | 9.85501i | −1.01142 | + | 0.322811i | ||||
\(933\) | −25.3627 | + | 11.5045i | −0.830337 | + | 0.376641i | ||||
\(934\) | −28.7066 | + | 39.2954i | −0.939309 | + | 1.28579i | ||||
\(935\) | −2.84387 | − | 6.86570i | −0.0930043 | − | 0.224532i | ||||
\(936\) | 5.15668 | + | 37.4014i | 0.168551 | + | 1.22250i | ||||
\(937\) | −3.33957 | + | 8.06243i | −0.109099 | + | 0.263388i | −0.968995 | − | 0.247082i | \(-0.920528\pi\) |
0.859896 | + | 0.510470i | \(0.170528\pi\) | |||||||
\(938\) | −5.27081 | + | 3.21109i | −0.172098 | + | 0.104846i | ||||
\(939\) | 12.8028 | − | 34.0597i | 0.417804 | − | 1.11150i | ||||
\(940\) | 24.3568 | − | 30.5673i | 0.794431 | − | 0.996995i | ||||
\(941\) | 15.0978 | − | 10.0880i | 0.492174 | − | 0.328860i | −0.284593 | − | 0.958649i | \(-0.591858\pi\) |
0.776767 | + | 0.629788i | \(0.216858\pi\) | |||||||
\(942\) | 3.72089 | + | 2.53349i | 0.121233 | + | 0.0825455i | ||||
\(943\) | −6.44904 | + | 6.44904i | −0.210010 | + | 0.210010i | ||||
\(944\) | 6.52972 | − | 6.91769i | 0.212524 | − | 0.225152i | ||||
\(945\) | 43.0868 | + | 52.3666i | 1.40161 | + | 1.70348i | ||||
\(946\) | −3.87041 | − | 4.20894i | −0.125838 | − | 0.136844i | ||||
\(947\) | −32.9455 | + | 22.0135i | −1.07059 | + | 0.715343i | −0.960416 | − | 0.278570i | \(-0.910140\pi\) |
−0.110170 | + | 0.993913i | \(0.535140\pi\) | |||||||
\(948\) | −29.1924 | + | 26.3777i | −0.948124 | + | 0.856707i | ||||
\(949\) | −16.5805 | + | 3.29806i | −0.538225 | + | 0.107060i | ||||
\(950\) | 7.68711 | − | 31.6554i | 0.249403 | − | 1.02704i | ||||
\(951\) | −38.0837 | + | 27.3146i | −1.23495 | + | 0.885737i | ||||
\(952\) | 9.75134 | + | 12.5705i | 0.316043 | + | 0.407411i | ||||
\(953\) | −17.0882 | − | 41.2546i | −0.553542 | − | 1.33637i | −0.914802 | − | 0.403903i | \(-0.867653\pi\) |
0.361260 | − | 0.932465i | \(-0.382347\pi\) | |||||||
\(954\) | −9.39723 | − | 13.3467i | −0.304247 | − | 0.432116i | ||||
\(955\) | 9.96510 | − | 14.9138i | 0.322463 | − | 0.482600i | ||||
\(956\) | 37.5792 | + | 3.15476i | 1.21540 | + | 0.102032i | ||||
\(957\) | −14.7184 | − | 13.7737i | −0.475779 | − | 0.445241i | ||||
\(958\) | 2.15571 | − | 0.788907i | 0.0696480 | − | 0.0254884i | ||||
\(959\) | 14.5067 | 0.468445 | ||||||||
\(960\) | −35.3689 | + | 33.8619i | −1.14153 | + | 1.09289i | ||||
\(961\) | 25.2954 | 0.815982 | ||||||||
\(962\) | −19.5115 | + | 7.14046i | −0.629077 | + | 0.230218i | ||||
\(963\) | 7.21058 | − | 1.93857i | 0.232358 | − | 0.0624695i | ||||
\(964\) | −3.03216 | + | 36.1188i | −0.0976593 | + | 1.16331i | ||||
\(965\) | 20.2672 | − | 30.3320i | 0.652425 | − | 0.976423i | ||||
\(966\) | −7.59242 | − | 3.22283i | −0.244282 | − | 0.103693i | ||||
\(967\) | −10.5437 | − | 25.4548i | −0.339063 | − | 0.818570i | −0.997806 | − | 0.0662026i | \(-0.978912\pi\) |
0.658743 | − | 0.752368i | \(-0.271088\pi\) | |||||||
\(968\) | 25.5174 | + | 3.22272i | 0.820160 | + | 0.103582i | ||||
\(969\) | 4.72978 | + | 6.59454i | 0.151942 | + | 0.211847i | ||||
\(970\) | −14.7727 | + | 60.8338i | −0.474324 | + | 1.95326i | ||||
\(971\) | 23.0007 | − | 4.57513i | 0.738129 | − | 0.146823i | 0.188313 | − | 0.982109i | \(-0.439698\pi\) |
0.549815 | + | 0.835286i | \(0.314698\pi\) | |||||||
\(972\) | −2.55280 | − | 31.0722i | −0.0818812 | − | 0.996642i | ||||
\(973\) | 63.1915 | − | 42.2232i | 2.02583 | − | 1.35361i | ||||
\(974\) | −18.4918 | − | 20.1093i | −0.592516 | − | 0.644342i | ||||
\(975\) | −56.1911 | + | 13.1268i | −1.79955 | + | 0.420395i | ||||
\(976\) | −41.2890 | − | 15.7233i | −1.32163 | − | 0.503292i | ||||
\(977\) | 24.3302 | − | 24.3302i | 0.778392 | − | 0.778392i | −0.201166 | − | 0.979557i | \(-0.564473\pi\) |
0.979557 | + | 0.201166i | \(0.0644729\pi\) | |||||||
\(978\) | −14.9429 | + | 21.9463i | −0.477821 | + | 0.701766i | ||||
\(979\) | 0.125022 | − | 0.0835369i | 0.00399572 | − | 0.00266985i | ||||
\(980\) | 36.6991 | + | 29.2428i | 1.17231 | + | 0.934127i | ||||
\(981\) | 7.72040 | − | 5.93439i | 0.246493 | − | 0.189470i | ||||
\(982\) | −29.8559 | + | 18.1889i | −0.952741 | + | 0.580430i | ||||
\(983\) | 3.51432 | − | 8.48432i | 0.112089 | − | 0.270608i | −0.857873 | − | 0.513861i | \(-0.828215\pi\) |
0.969963 | + | 0.243253i | \(0.0782147\pi\) | |||||||
\(984\) | −48.7951 | − | 4.52571i | −1.55553 | − | 0.144274i | ||||
\(985\) | 5.41753 | + | 13.0791i | 0.172617 | + | 0.416734i | ||||
\(986\) | −10.7091 | + | 14.6594i | −0.341048 | + | 0.466849i | ||||
\(987\) | 14.6132 | + | 32.2160i | 0.465143 | + | 1.02545i | ||||
\(988\) | 8.32402 | + | 26.0806i | 0.264822 | + | 0.829733i | ||||
\(989\) | 0.520853 | − | 2.61851i | 0.0165622 | − | 0.0832636i | ||||
\(990\) | 0.505351 | + | 20.6952i | 0.0160611 | + | 0.657738i | ||||
\(991\) | 38.7994 | 1.23250 | 0.616252 | − | 0.787549i | \(-0.288650\pi\) | ||||
0.616252 | + | 0.787549i | \(0.288650\pi\) | |||||||
\(992\) | −41.7324 | + | 7.73707i | −1.32500 | + | 0.245652i | ||||
\(993\) | 6.05436 | + | 3.76131i | 0.192129 | + | 0.119362i | ||||
\(994\) | 17.8523 | − | 38.4607i | 0.566242 | − | 1.21990i | ||||
\(995\) | −44.7122 | − | 8.89382i | −1.41747 | − | 0.281953i | ||||
\(996\) | −13.1156 | + | 7.83410i | −0.415583 | + | 0.248233i | ||||
\(997\) | 20.7514 | − | 31.0566i | 0.657203 | − | 0.983574i | −0.341837 | − | 0.939759i | \(-0.611049\pi\) |
0.999040 | − | 0.0438142i | \(-0.0139510\pi\) | |||||||
\(998\) | −11.0637 | + | 15.1448i | −0.350217 | + | 0.479399i | ||||
\(999\) | 16.4119 | − | 5.00110i | 0.519249 | − | 0.158228i |
(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 | 192.2.s.a.131.20 | yes | 240 | |
3.2 | odd | 2 | inner | 192.2.s.a.131.11 | yes | 240 | |
4.3 | odd | 2 | 768.2.s.a.431.8 | 240 | |||
12.11 | even | 2 | 768.2.s.a.431.11 | 240 | |||
64.21 | even | 16 | 768.2.s.a.335.11 | 240 | |||
64.43 | odd | 16 | inner | 192.2.s.a.107.11 | ✓ | 240 | |
192.107 | even | 16 | inner | 192.2.s.a.107.20 | yes | 240 | |
192.149 | odd | 16 | 768.2.s.a.335.8 | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
192.2.s.a.107.11 | ✓ | 240 | 64.43 | odd | 16 | inner | |
192.2.s.a.107.20 | yes | 240 | 192.107 | even | 16 | inner | |
192.2.s.a.131.11 | yes | 240 | 3.2 | odd | 2 | inner | |
192.2.s.a.131.20 | yes | 240 | 1.1 | even | 1 | trivial | |
768.2.s.a.335.8 | 240 | 192.149 | odd | 16 | |||
768.2.s.a.335.11 | 240 | 64.21 | even | 16 | |||
768.2.s.a.431.8 | 240 | 4.3 | odd | 2 | |||
768.2.s.a.431.11 | 240 | 12.11 | even | 2 |