Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [23,4,Mod(2,23)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(23, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("23.2");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 23 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 23.c (of order \(11\), degree \(10\), 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: | \(1.35704393013\) |
Analytic rank: | \(0\) |
Dimension: | \(50\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 2.3 | ||
Character | \(\chi\) | \(=\) | 23.2 |
Dual form | 23.4.c.a.12.3 |
$q$-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 \(\left(\mathbb{Z}/23\mathbb{Z}\right)^\times\).
\(n\) | \(5\) |
\(\chi(n)\) | \(e\left(\frac{1}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.442460 | − | 0.284352i | −0.156433 | − | 0.100533i | 0.460082 | − | 0.887876i | \(-0.347820\pi\) |
−0.616516 | + | 0.787343i | \(0.711456\pi\) | |||||||
\(3\) | −0.784628 | − | 5.45721i | −0.151002 | − | 1.05024i | −0.914545 | − | 0.404484i | \(-0.867451\pi\) |
0.763544 | − | 0.645756i | \(-0.223458\pi\) | |||||||
\(4\) | −3.20841 | − | 7.02543i | −0.401051 | − | 0.878178i | ||||
\(5\) | 12.7367 | + | 3.73985i | 1.13921 | + | 0.334502i | 0.796321 | − | 0.604874i | \(-0.206777\pi\) |
0.342888 | + | 0.939376i | \(0.388595\pi\) | |||||||
\(6\) | −1.20460 | + | 2.63770i | −0.0819626 | + | 0.179473i | ||||
\(7\) | −5.26652 | + | 6.07789i | −0.284365 | + | 0.328175i | −0.879904 | − | 0.475151i | \(-0.842393\pi\) |
0.595539 | + | 0.803327i | \(0.296939\pi\) | |||||||
\(8\) | −1.17691 | + | 8.18558i | −0.0520125 | + | 0.361755i | ||||
\(9\) | −3.25915 | + | 0.956973i | −0.120709 | + | 0.0354434i | ||||
\(10\) | −4.57207 | − | 5.27645i | −0.144581 | − | 0.166856i | ||||
\(11\) | −11.1639 | + | 7.17457i | −0.306003 | + | 0.196656i | −0.684625 | − | 0.728895i | \(-0.740034\pi\) |
0.378623 | + | 0.925551i | \(0.376398\pi\) | |||||||
\(12\) | −35.8218 | + | 23.0213i | −0.861739 | + | 0.553806i | ||||
\(13\) | 47.1024 | + | 54.3591i | 1.00491 | + | 1.15973i | 0.987135 | + | 0.159888i | \(0.0511134\pi\) |
0.0177769 | + | 0.999842i | \(0.494341\pi\) | |||||||
\(14\) | 4.05848 | − | 1.19168i | 0.0774768 | − | 0.0227492i | ||||
\(15\) | 10.4155 | − | 72.4414i | 0.179285 | − | 1.24695i | ||||
\(16\) | −37.6136 | + | 43.4084i | −0.587712 | + | 0.678256i | ||||
\(17\) | 47.0046 | − | 102.926i | 0.670606 | − | 1.46842i | −0.201693 | − | 0.979449i | \(-0.564644\pi\) |
0.872299 | − | 0.488973i | \(-0.162629\pi\) | |||||||
\(18\) | 1.71416 | + | 0.503323i | 0.0224462 | + | 0.00659079i | ||||
\(19\) | 8.05364 | + | 17.6350i | 0.0972437 | + | 0.212934i | 0.952002 | − | 0.306093i | \(-0.0990218\pi\) |
−0.854758 | + | 0.519027i | \(0.826294\pi\) | |||||||
\(20\) | −14.5906 | − | 101.480i | −0.163128 | − | 1.13458i | ||||
\(21\) | 37.3006 | + | 23.9716i | 0.387602 | + | 0.249097i | ||||
\(22\) | 6.97966 | 0.0676395 | ||||||||
\(23\) | −99.8811 | + | 46.8056i | −0.905507 | + | 0.424332i | ||||
\(24\) | 45.5938 | 0.387783 | ||||||||
\(25\) | 43.0816 | + | 27.6869i | 0.344653 | + | 0.221495i | ||||
\(26\) | −5.38383 | − | 37.4453i | −0.0406098 | − | 0.282448i | ||||
\(27\) | −54.0590 | − | 118.373i | −0.385320 | − | 0.843734i | ||||
\(28\) | 59.5969 | + | 17.4992i | 0.402241 | + | 0.118109i | ||||
\(29\) | −32.0164 | + | 70.1062i | −0.205010 | + | 0.448910i | −0.984010 | − | 0.178114i | \(-0.943000\pi\) |
0.778999 | + | 0.627025i | \(0.215728\pi\) | |||||||
\(30\) | −25.2073 | + | 29.0908i | −0.153407 | + | 0.177041i | ||||
\(31\) | −34.1869 | + | 237.775i | −0.198069 | + | 1.37760i | 0.611810 | + | 0.791005i | \(0.290442\pi\) |
−0.809879 | + | 0.586597i | \(0.800467\pi\) | |||||||
\(32\) | 92.4639 | − | 27.1498i | 0.510796 | − | 0.149983i | ||||
\(33\) | 47.9126 | + | 55.2941i | 0.252743 | + | 0.291681i | ||||
\(34\) | −50.0648 | + | 32.1747i | −0.252531 | + | 0.162292i | ||||
\(35\) | −89.8087 | + | 57.7166i | −0.433727 | + | 0.278739i | ||||
\(36\) | 17.1798 | + | 19.8266i | 0.0795362 | + | 0.0917896i | ||||
\(37\) | −251.254 | + | 73.7748i | −1.11638 | + | 0.327797i | −0.787339 | − | 0.616520i | \(-0.788542\pi\) |
−0.329036 | + | 0.944317i | \(0.606724\pi\) | |||||||
\(38\) | 1.45113 | − | 10.0928i | 0.00619486 | − | 0.0430862i | ||||
\(39\) | 259.691 | − | 299.699i | 1.06625 | − | 1.23052i | ||||
\(40\) | −45.6028 | + | 99.8562i | −0.180261 | + | 0.394716i | ||||
\(41\) | −110.653 | − | 32.4907i | −0.421490 | − | 0.123761i | 0.0641076 | − | 0.997943i | \(-0.479580\pi\) |
−0.485598 | + | 0.874182i | \(0.661398\pi\) | |||||||
\(42\) | −9.68763 | − | 21.2130i | −0.0355913 | − | 0.0779340i | ||||
\(43\) | −50.2258 | − | 349.328i | −0.178125 | − | 1.23888i | −0.861097 | − | 0.508440i | \(-0.830222\pi\) |
0.682972 | − | 0.730444i | \(-0.260687\pi\) | |||||||
\(44\) | 86.2226 | + | 55.4119i | 0.295422 | + | 0.189856i | ||||
\(45\) | −45.0899 | −0.149369 | ||||||||
\(46\) | 57.5026 | + | 7.69176i | 0.184311 | + | 0.0246541i | ||||
\(47\) | 385.301 | 1.19579 | 0.597893 | − | 0.801576i | \(-0.296005\pi\) | ||||
0.597893 | + | 0.801576i | \(0.296005\pi\) | |||||||
\(48\) | 266.401 | + | 171.206i | 0.801077 | + | 0.514821i | ||||
\(49\) | 39.6095 | + | 275.490i | 0.115480 | + | 0.803178i | ||||
\(50\) | −11.1891 | − | 24.5006i | −0.0316475 | − | 0.0692983i | ||||
\(51\) | −598.569 | − | 175.756i | −1.64346 | − | 0.482563i | ||||
\(52\) | 230.772 | − | 505.320i | 0.615430 | − | 1.34760i | ||||
\(53\) | 182.779 | − | 210.939i | 0.473711 | − | 0.546692i | −0.467729 | − | 0.883872i | \(-0.654928\pi\) |
0.941440 | + | 0.337180i | \(0.109473\pi\) | |||||||
\(54\) | −9.74053 | + | 67.7469i | −0.0245466 | + | 0.170726i | ||||
\(55\) | −169.023 | + | 49.6296i | −0.414383 | + | 0.121674i | ||||
\(56\) | −43.5528 | − | 50.2627i | −0.103928 | − | 0.119940i | ||||
\(57\) | 89.9187 | − | 57.7873i | 0.208948 | − | 0.134283i | ||||
\(58\) | 34.1008 | − | 21.9153i | 0.0772009 | − | 0.0496140i | ||||
\(59\) | −329.991 | − | 380.830i | −0.728155 | − | 0.840336i | 0.264107 | − | 0.964493i | \(-0.414923\pi\) |
−0.992263 | + | 0.124158i | \(0.960377\pi\) | |||||||
\(60\) | −542.349 | + | 159.248i | −1.16695 | + | 0.342647i | ||||
\(61\) | −91.6114 | + | 637.171i | −0.192289 | + | 1.33740i | 0.633641 | + | 0.773627i | \(0.281560\pi\) |
−0.825930 | + | 0.563773i | \(0.809349\pi\) | |||||||
\(62\) | 82.7380 | − | 95.4848i | 0.169480 | − | 0.195590i | ||||
\(63\) | 11.3480 | − | 24.8487i | 0.0226939 | − | 0.0496927i | ||||
\(64\) | 392.255 | + | 115.177i | 0.766124 | + | 0.224954i | ||||
\(65\) | 396.637 | + | 868.514i | 0.756873 | + | 1.65732i | ||||
\(66\) | −5.47643 | − | 38.0894i | −0.0102137 | − | 0.0710376i | ||||
\(67\) | 397.284 | + | 255.319i | 0.724417 | + | 0.465554i | 0.850171 | − | 0.526507i | \(-0.176499\pi\) |
−0.125754 | + | 0.992061i | \(0.540135\pi\) | |||||||
\(68\) | −873.908 | −1.55848 | ||||||||
\(69\) | 333.797 | + | 508.347i | 0.582384 | + | 0.886924i | ||||
\(70\) | 56.1486 | 0.0958719 | ||||||||
\(71\) | 141.871 | + | 91.1751i | 0.237141 | + | 0.152401i | 0.653814 | − | 0.756655i | \(-0.273168\pi\) |
−0.416673 | + | 0.909056i | \(0.636804\pi\) | |||||||
\(72\) | −3.99765 | − | 27.8043i | −0.00654345 | − | 0.0455107i | ||||
\(73\) | −277.140 | − | 606.852i | −0.444340 | − | 0.972968i | −0.990781 | − | 0.135471i | \(-0.956745\pi\) |
0.546442 | − | 0.837497i | \(-0.315982\pi\) | |||||||
\(74\) | 132.148 | + | 38.8021i | 0.207593 | + | 0.0609547i | ||||
\(75\) | 117.290 | − | 256.829i | 0.180580 | − | 0.395414i | ||||
\(76\) | 98.0541 | − | 113.160i | 0.147994 | − | 0.170795i | ||||
\(77\) | 15.1884 | − | 105.638i | 0.0224790 | − | 0.156345i | ||||
\(78\) | −200.123 | + | 58.7613i | −0.290506 | + | 0.0853001i | ||||
\(79\) | −541.565 | − | 625.000i | −0.771277 | − | 0.890101i | 0.225170 | − | 0.974319i | \(-0.427706\pi\) |
−0.996447 | + | 0.0842184i | \(0.973161\pi\) | |||||||
\(80\) | −641.415 | + | 412.212i | −0.896405 | + | 0.576084i | ||||
\(81\) | −680.721 | + | 437.473i | −0.933773 | + | 0.600100i | ||||
\(82\) | 39.7208 | + | 45.8402i | 0.0534930 | + | 0.0617342i | ||||
\(83\) | 789.153 | − | 231.716i | 1.04362 | − | 0.306435i | 0.285385 | − | 0.958413i | \(-0.407879\pi\) |
0.758238 | + | 0.651977i | \(0.226060\pi\) | |||||||
\(84\) | 48.7355 | − | 338.963i | 0.0633034 | − | 0.440285i | ||||
\(85\) | 983.613 | − | 1135.15i | 1.25515 | − | 1.44852i | ||||
\(86\) | −77.1091 | + | 168.845i | −0.0966848 | + | 0.211710i | ||||
\(87\) | 407.705 | + | 119.713i | 0.502420 | + | 0.147524i | ||||
\(88\) | −45.5892 | − | 99.8264i | −0.0552253 | − | 0.120927i | ||||
\(89\) | −80.1047 | − | 557.140i | −0.0954054 | − | 0.663559i | −0.980263 | − | 0.197698i | \(-0.936654\pi\) |
0.884858 | − | 0.465861i | \(-0.154256\pi\) | |||||||
\(90\) | 19.9505 | + | 12.8214i | 0.0233663 | + | 0.0150166i | ||||
\(91\) | −578.454 | −0.666357 | ||||||||
\(92\) | 649.288 | + | 551.536i | 0.735793 | + | 0.625018i | ||||
\(93\) | 1324.41 | 1.47672 | ||||||||
\(94\) | −170.480 | − | 109.561i | −0.187061 | − | 0.120217i | ||||
\(95\) | 36.6249 | + | 254.732i | 0.0395541 | + | 0.275105i | ||||
\(96\) | −220.712 | − | 483.292i | −0.234649 | − | 0.513810i | ||||
\(97\) | −20.4753 | − | 6.01210i | −0.0214325 | − | 0.00629316i | 0.270999 | − | 0.962580i | \(-0.412646\pi\) |
−0.292431 | + | 0.956287i | \(0.594464\pi\) | |||||||
\(98\) | 60.8104 | − | 133.156i | 0.0626814 | − | 0.137253i | ||||
\(99\) | 29.5188 | − | 34.0665i | 0.0299672 | − | 0.0345840i | ||||
\(100\) | 56.2888 | − | 391.497i | 0.0562888 | − | 0.391497i | ||||
\(101\) | −1466.13 | + | 430.496i | −1.44441 | + | 0.424118i | −0.907690 | − | 0.419641i | \(-0.862156\pi\) |
−0.536723 | + | 0.843759i | \(0.680338\pi\) | |||||||
\(102\) | 214.866 | + | 247.969i | 0.208578 | + | 0.240711i | ||||
\(103\) | −894.637 | + | 574.948i | −0.855837 | + | 0.550013i | −0.893390 | − | 0.449282i | \(-0.851680\pi\) |
0.0375532 | + | 0.999295i | \(0.488044\pi\) | |||||||
\(104\) | −500.396 | + | 321.585i | −0.471806 | + | 0.303211i | ||||
\(105\) | 385.438 | + | 444.819i | 0.358237 | + | 0.413427i | ||||
\(106\) | −140.853 | + | 41.3583i | −0.129065 | + | 0.0378969i | ||||
\(107\) | 30.5515 | − | 212.491i | 0.0276031 | − | 0.191984i | −0.971354 | − | 0.237636i | \(-0.923628\pi\) |
0.998957 | + | 0.0456522i | \(0.0145366\pi\) | |||||||
\(108\) | −658.175 | + | 759.575i | −0.586416 | + | 0.676760i | ||||
\(109\) | 600.455 | − | 1314.81i | 0.527644 | − | 1.15538i | −0.438819 | − | 0.898575i | \(-0.644603\pi\) |
0.966463 | − | 0.256804i | \(-0.0826695\pi\) | |||||||
\(110\) | 88.8981 | + | 26.1028i | 0.0770555 | + | 0.0226255i | ||||
\(111\) | 599.745 | + | 1313.26i | 0.512841 | + | 1.12296i | ||||
\(112\) | −65.7386 | − | 457.222i | −0.0554618 | − | 0.385745i | ||||
\(113\) | 455.602 | + | 292.798i | 0.379287 | + | 0.243753i | 0.716368 | − | 0.697723i | \(-0.245803\pi\) |
−0.337081 | + | 0.941476i | \(0.609440\pi\) | |||||||
\(114\) | −56.2173 | −0.0461863 | ||||||||
\(115\) | −1447.21 | + | 222.611i | −1.17350 | + | 0.180510i | ||||
\(116\) | 595.248 | 0.476443 | ||||||||
\(117\) | −205.534 | − | 132.089i | −0.162407 | − | 0.104373i | ||||
\(118\) | 37.7181 | + | 262.335i | 0.0294257 | + | 0.204660i | ||||
\(119\) | 378.021 | + | 827.750i | 0.291203 | + | 0.637645i | ||||
\(120\) | 580.717 | + | 170.514i | 0.441766 | + | 0.129714i | ||||
\(121\) | −479.760 | + | 1050.53i | −0.360451 | + | 0.789278i | ||||
\(122\) | 221.715 | − | 255.873i | 0.164534 | − | 0.189882i | ||||
\(123\) | −90.4868 | + | 629.350i | −0.0663327 | + | 0.461354i | ||||
\(124\) | 1780.16 | − | 522.701i | 1.28922 | − | 0.378548i | ||||
\(125\) | −641.440 | − | 740.262i | −0.458977 | − | 0.529688i | ||||
\(126\) | −12.0868 | + | 7.76771i | −0.00854585 | + | 0.00549209i | ||||
\(127\) | 436.222 | − | 280.343i | 0.304791 | − | 0.195877i | −0.379300 | − | 0.925274i | \(-0.623835\pi\) |
0.684091 | + | 0.729396i | \(0.260199\pi\) | |||||||
\(128\) | −645.665 | − | 745.137i | −0.445853 | − | 0.514542i | ||||
\(129\) | −1866.95 | + | 548.185i | −1.27423 | + | 0.374147i | ||||
\(130\) | 71.4674 | − | 497.067i | 0.0482162 | − | 0.335351i | ||||
\(131\) | 559.638 | − | 645.856i | 0.373250 | − | 0.430754i | −0.537785 | − | 0.843082i | \(-0.680739\pi\) |
0.911035 | + | 0.412328i | \(0.135284\pi\) | |||||||
\(132\) | 234.742 | − | 514.012i | 0.154785 | − | 0.338932i | ||||
\(133\) | −149.598 | − | 43.9260i | −0.0975325 | − | 0.0286381i | ||||
\(134\) | −103.182 | − | 225.936i | −0.0665190 | − | 0.145656i | ||||
\(135\) | −245.840 | − | 1709.85i | −0.156730 | − | 1.09008i | ||||
\(136\) | 787.187 | + | 505.895i | 0.496329 | + | 0.318971i | ||||
\(137\) | 77.0997 | 0.0480808 | 0.0240404 | − | 0.999711i | \(-0.492347\pi\) | ||||
0.0240404 | + | 0.999711i | \(0.492347\pi\) | |||||||
\(138\) | −3.14263 | − | 319.839i | −0.00193854 | − | 0.197293i | ||||
\(139\) | −396.171 | −0.241747 | −0.120873 | − | 0.992668i | \(-0.538570\pi\) | ||||
−0.120873 | + | 0.992668i | \(0.538570\pi\) | |||||||
\(140\) | 693.626 | + | 445.767i | 0.418730 | + | 0.269101i | ||||
\(141\) | −302.318 | − | 2102.67i | −0.180566 | − | 1.25586i | ||||
\(142\) | −36.8465 | − | 80.6826i | −0.0217753 | − | 0.0476812i | ||||
\(143\) | −915.848 | − | 268.917i | −0.535574 | − | 0.157259i | ||||
\(144\) | 81.0476 | − | 177.469i | 0.0469025 | − | 0.102702i | ||||
\(145\) | −669.972 | + | 773.189i | −0.383711 | + | 0.442826i | ||||
\(146\) | −49.9360 | + | 347.313i | −0.0283064 | + | 0.196875i | ||||
\(147\) | 1472.33 | − | 432.314i | 0.826092 | − | 0.242562i | ||||
\(148\) | 1324.42 | + | 1528.47i | 0.735588 | + | 0.848914i | ||||
\(149\) | 2165.16 | − | 1391.46i | 1.19045 | − | 0.765055i | 0.213170 | − | 0.977015i | \(-0.431621\pi\) |
0.977278 | + | 0.211960i | \(0.0679848\pi\) | |||||||
\(150\) | −124.926 | + | 80.2849i | −0.0680010 | + | 0.0437016i | ||||
\(151\) | 1592.37 | + | 1837.69i | 0.858180 | + | 0.990392i | 1.00000 | 0.000499681i | \(0.000159053\pi\) | |
−0.141820 | + | 0.989892i | \(0.545295\pi\) | |||||||
\(152\) | −153.831 | + | 45.1689i | −0.0820878 | + | 0.0241032i | ||||
\(153\) | −54.6980 | + | 380.433i | −0.0289024 | + | 0.201021i | ||||
\(154\) | −36.7585 | + | 42.4216i | −0.0192343 | + | 0.0221976i | ||||
\(155\) | −1324.67 | + | 2900.63i | −0.686453 | + | 1.50312i | ||||
\(156\) | −2938.71 | − | 862.883i | −1.50824 | − | 0.442858i | ||||
\(157\) | −1337.01 | − | 2927.64i | −0.679650 | − | 1.48822i | −0.863014 | − | 0.505180i | \(-0.831426\pi\) |
0.183365 | − | 0.983045i | \(-0.441301\pi\) | |||||||
\(158\) | 61.9012 | + | 430.532i | 0.0311683 | + | 0.216780i | ||||
\(159\) | −1294.55 | − | 831.957i | −0.645688 | − | 0.414959i | ||||
\(160\) | 1279.23 | 0.632073 | ||||||||
\(161\) | 241.547 | − | 853.569i | 0.118239 | − | 0.417830i | ||||
\(162\) | 425.587 | 0.206403 | ||||||||
\(163\) | 473.856 | + | 304.529i | 0.227701 | + | 0.146335i | 0.649517 | − | 0.760347i | \(-0.274971\pi\) |
−0.421816 | + | 0.906681i | \(0.638607\pi\) | |||||||
\(164\) | 126.759 | + | 881.628i | 0.0603550 | + | 0.419778i | ||||
\(165\) | 403.459 | + | 883.453i | 0.190359 | + | 0.416828i | ||||
\(166\) | −415.057 | − | 121.872i | −0.194064 | − | 0.0569824i | ||||
\(167\) | 97.5134 | − | 213.525i | 0.0451845 | − | 0.0989403i | −0.885694 | − | 0.464270i | \(-0.846317\pi\) |
0.930878 | + | 0.365330i | \(0.119044\pi\) | |||||||
\(168\) | −240.121 | + | 277.114i | −0.110272 | + | 0.127261i | ||||
\(169\) | −423.607 | + | 2946.25i | −0.192811 | + | 1.34103i | ||||
\(170\) | −757.991 | + | 222.566i | −0.341972 | + | 0.100412i | ||||
\(171\) | −43.1242 | − | 49.7680i | −0.0192853 | − | 0.0222565i | ||||
\(172\) | −2293.03 | + | 1473.64i | −1.01652 | + | 0.653281i | ||||
\(173\) | 1927.54 | − | 1238.76i | 0.847100 | − | 0.544398i | −0.0435687 | − | 0.999050i | \(-0.513873\pi\) |
0.890669 | + | 0.454652i | \(0.150236\pi\) | |||||||
\(174\) | −146.353 | − | 168.900i | −0.0637641 | − | 0.0735877i | ||||
\(175\) | −395.168 | + | 116.032i | −0.170696 | + | 0.0501210i | ||||
\(176\) | 108.476 | − | 754.466i | 0.0464584 | − | 0.323125i | ||||
\(177\) | −1819.35 | + | 2099.64i | −0.772601 | + | 0.891630i | ||||
\(178\) | −122.981 | + | 269.290i | −0.0517853 | + | 0.113394i | ||||
\(179\) | 2025.63 | + | 594.777i | 0.845823 | + | 0.248356i | 0.675801 | − | 0.737084i | \(-0.263798\pi\) |
0.170022 | + | 0.985440i | \(0.445616\pi\) | |||||||
\(180\) | 144.667 | + | 316.776i | 0.0599045 | + | 0.131173i | ||||
\(181\) | 115.164 | + | 800.981i | 0.0472931 | + | 0.328931i | 0.999709 | + | 0.0241288i | \(0.00768118\pi\) |
−0.952416 | + | 0.304802i | \(0.901410\pi\) | |||||||
\(182\) | 255.943 | + | 164.484i | 0.104240 | + | 0.0669912i | ||||
\(183\) | 3549.06 | 1.43363 | ||||||||
\(184\) | −265.580 | − | 872.671i | −0.106407 | − | 0.349642i | ||||
\(185\) | −3476.06 | −1.38143 | ||||||||
\(186\) | −585.999 | − | 376.598i | −0.231008 | − | 0.148460i | ||||
\(187\) | 213.696 | + | 1486.29i | 0.0835668 | + | 0.581220i | ||||
\(188\) | −1236.20 | − | 2706.91i | −0.479571 | − | 1.05011i | ||||
\(189\) | 1004.16 | + | 294.848i | 0.386464 | + | 0.113476i | ||||
\(190\) | 56.2284 | − | 123.123i | 0.0214697 | − | 0.0470120i | ||||
\(191\) | 32.5332 | − | 37.5453i | 0.0123247 | − | 0.0142235i | −0.749554 | − | 0.661943i | \(-0.769732\pi\) |
0.761878 | + | 0.647720i | \(0.224277\pi\) | |||||||
\(192\) | 320.768 | − | 2230.99i | 0.120570 | − | 0.838582i | ||||
\(193\) | −164.227 | + | 48.2213i | −0.0612502 | + | 0.0179847i | −0.312214 | − | 0.950012i | \(-0.601071\pi\) |
0.250964 | + | 0.967996i | \(0.419252\pi\) | |||||||
\(194\) | 7.34996 | + | 8.48231i | 0.00272009 | + | 0.00313915i | ||||
\(195\) | 4428.45 | − | 2845.99i | 1.62630 | − | 1.04516i | ||||
\(196\) | 1808.35 | − | 1162.16i | 0.659020 | − | 0.423527i | ||||
\(197\) | −1856.72 | − | 2142.77i | −0.671503 | − | 0.774956i | 0.313108 | − | 0.949718i | \(-0.398630\pi\) |
−0.984611 | + | 0.174762i | \(0.944084\pi\) | |||||||
\(198\) | −22.7477 | + | 6.67934i | −0.00816471 | + | 0.00239737i | ||||
\(199\) | −136.478 | + | 949.222i | −0.0486163 | + | 0.338134i | 0.950968 | + | 0.309290i | \(0.100091\pi\) |
−0.999584 | + | 0.0288433i | \(0.990818\pi\) | |||||||
\(200\) | −277.336 | + | 320.063i | −0.0980531 | + | 0.113159i | ||||
\(201\) | 1081.61 | − | 2368.39i | 0.379555 | − | 0.831111i | ||||
\(202\) | 771.117 | + | 226.420i | 0.268592 | + | 0.0788657i | ||||
\(203\) | −257.483 | − | 563.808i | −0.0890234 | − | 0.194934i | ||||
\(204\) | 685.692 | + | 4769.10i | 0.235334 | + | 1.63678i | ||||
\(205\) | −1287.85 | − | 827.651i | −0.438768 | − | 0.281979i | ||||
\(206\) | 559.328 | 0.189176 | ||||||||
\(207\) | 280.736 | − | 248.130i | 0.0942632 | − | 0.0833151i | ||||
\(208\) | −4131.33 | −1.37719 | ||||||||
\(209\) | −216.433 | − | 139.093i | −0.0716316 | − | 0.0460348i | ||||
\(210\) | −44.0557 | − | 306.414i | −0.0144768 | − | 0.100689i | ||||
\(211\) | 792.137 | + | 1734.54i | 0.258450 | + | 0.565926i | 0.993726 | − | 0.111841i | \(-0.0356748\pi\) |
−0.735276 | + | 0.677768i | \(0.762948\pi\) | |||||||
\(212\) | −2068.36 | − | 607.327i | −0.670075 | − | 0.196752i | ||||
\(213\) | 386.245 | − | 845.759i | 0.124249 | − | 0.272068i | ||||
\(214\) | −73.9399 | + | 85.3312i | −0.0236188 | + | 0.0272576i | ||||
\(215\) | 666.720 | − | 4637.14i | 0.211488 | − | 1.47093i | ||||
\(216\) | 1032.57 | − | 303.190i | 0.325266 | − | 0.0955068i | ||||
\(217\) | −1265.12 | − | 1460.03i | −0.395771 | − | 0.456744i | ||||
\(218\) | −639.547 | + | 411.012i | −0.198695 | + | 0.127694i | ||||
\(219\) | −3094.26 | + | 1988.56i | −0.954754 | + | 0.613583i | ||||
\(220\) | 890.964 | + | 1028.23i | 0.273040 | + | 0.315105i | ||||
\(221\) | 7808.98 | − | 2292.92i | 2.37687 | − | 0.697913i | ||||
\(222\) | 108.064 | − | 751.603i | 0.0326702 | − | 0.227226i | ||||
\(223\) | −1812.55 | + | 2091.80i | −0.544294 | + | 0.628149i | −0.959544 | − | 0.281558i | \(-0.909149\pi\) |
0.415250 | + | 0.909707i | \(0.363694\pi\) | |||||||
\(224\) | −321.949 | + | 704.971i | −0.0960319 | + | 0.210281i | ||||
\(225\) | −166.905 | − | 49.0077i | −0.0494533 | − | 0.0145208i | ||||
\(226\) | −118.328 | − | 259.102i | −0.0348277 | − | 0.0762621i | ||||
\(227\) | 661.017 | + | 4597.48i | 0.193274 | + | 1.34425i | 0.823268 | + | 0.567652i | \(0.192148\pi\) |
−0.629994 | + | 0.776600i | \(0.716943\pi\) | |||||||
\(228\) | −694.476 | − | 446.313i | −0.201723 | − | 0.129639i | ||||
\(229\) | −1988.68 | −0.573868 | −0.286934 | − | 0.957950i | \(-0.592636\pi\) | ||||
−0.286934 | + | 0.957950i | \(0.592636\pi\) | |||||||
\(230\) | 703.630 | + | 313.019i | 0.201722 | + | 0.0897385i | ||||
\(231\) | −588.404 | −0.167594 | ||||||||
\(232\) | −536.180 | − | 344.582i | −0.151732 | − | 0.0975125i | ||||
\(233\) | 57.8677 | + | 402.479i | 0.0162706 | + | 0.113164i | 0.996338 | − | 0.0855000i | \(-0.0272488\pi\) |
−0.980068 | + | 0.198664i | \(0.936340\pi\) | |||||||
\(234\) | 53.3809 | + | 116.888i | 0.0149129 | + | 0.0326547i | ||||
\(235\) | 4907.49 | + | 1440.97i | 1.36225 | + | 0.399993i | ||||
\(236\) | −1616.75 | + | 3540.18i | −0.445938 | + | 0.976467i | ||||
\(237\) | −2985.83 | + | 3445.83i | −0.818355 | + | 0.944433i | ||||
\(238\) | 68.1131 | − | 473.737i | 0.0185509 | − | 0.129024i | ||||
\(239\) | −3412.32 | + | 1001.95i | −0.923534 | + | 0.271174i | −0.708727 | − | 0.705482i | \(-0.750730\pi\) |
−0.214807 | + | 0.976657i | \(0.568912\pi\) | |||||||
\(240\) | 2752.80 | + | 3176.90i | 0.740385 | + | 0.854450i | ||||
\(241\) | −4.21781 | + | 2.71062i | −0.00112736 | + | 0.000724509i | −0.541204 | − | 0.840891i | \(-0.682031\pi\) |
0.540077 | + | 0.841616i | \(0.318395\pi\) | |||||||
\(242\) | 510.994 | − | 328.396i | 0.135735 | − | 0.0872318i | ||||
\(243\) | 620.588 | + | 716.197i | 0.163830 | + | 0.189070i | ||||
\(244\) | 4770.33 | − | 1400.69i | 1.25159 | − | 0.367501i | ||||
\(245\) | −525.794 | + | 3656.98i | −0.137109 | + | 0.953616i | ||||
\(246\) | 218.993 | − | 252.732i | 0.0567582 | − | 0.0655024i | ||||
\(247\) | −579.277 | + | 1268.44i | −0.149225 | + | 0.326757i | ||||
\(248\) | −1906.09 | − | 559.679i | −0.488052 | − | 0.143305i | ||||
\(249\) | −1883.71 | − | 4124.76i | −0.479420 | − | 1.04978i | ||||
\(250\) | 73.3169 | + | 509.931i | 0.0185479 | + | 0.129003i | ||||
\(251\) | −5760.66 | − | 3702.15i | −1.44864 | − | 0.930987i | −0.999292 | − | 0.0376328i | \(-0.988018\pi\) |
−0.449353 | − | 0.893354i | \(-0.648345\pi\) | |||||||
\(252\) | −210.982 | −0.0527404 | ||||||||
\(253\) | 779.248 | − | 1239.14i | 0.193640 | − | 0.307920i | ||||
\(254\) | −272.727 | −0.0673717 | ||||||||
\(255\) | −6966.52 | − | 4477.11i | −1.71082 | − | 1.09948i | ||||
\(256\) | −391.644 | − | 2723.94i | −0.0956162 | − | 0.665025i | ||||
\(257\) | 3258.01 | + | 7134.05i | 0.790774 | + | 1.73155i | 0.674421 | + | 0.738347i | \(0.264393\pi\) |
0.116353 | + | 0.993208i | \(0.462880\pi\) | |||||||
\(258\) | 981.926 | + | 288.320i | 0.236946 | + | 0.0695736i | ||||
\(259\) | 874.839 | − | 1915.63i | 0.209884 | − | 0.459581i | ||||
\(260\) | 4829.11 | − | 5573.09i | 1.15188 | − | 1.32934i | ||||
\(261\) | 37.2566 | − | 259.126i | 0.00883574 | − | 0.0614539i | ||||
\(262\) | −431.267 | + | 126.632i | −0.101694 | + | 0.0298600i | ||||
\(263\) | −836.090 | − | 964.900i | −0.196029 | − | 0.226229i | 0.649222 | − | 0.760599i | \(-0.275095\pi\) |
−0.845251 | + | 0.534370i | \(0.820549\pi\) | |||||||
\(264\) | −509.003 | + | 327.116i | −0.118663 | + | 0.0762599i | ||||
\(265\) | 3116.89 | − | 2003.11i | 0.722525 | − | 0.464339i | ||||
\(266\) | 53.7008 | + | 61.9740i | 0.0123782 | + | 0.0142852i | ||||
\(267\) | −2977.58 | + | 874.296i | −0.682490 | + | 0.200397i | ||||
\(268\) | 519.076 | − | 3610.25i | 0.118312 | − | 0.822878i | ||||
\(269\) | 135.930 | − | 156.871i | 0.0308095 | − | 0.0355561i | −0.740136 | − | 0.672458i | \(-0.765239\pi\) |
0.770945 | + | 0.636901i | \(0.219784\pi\) | |||||||
\(270\) | −377.425 | + | 826.447i | −0.0850718 | + | 0.186281i | ||||
\(271\) | 2765.19 | + | 811.934i | 0.619829 | + | 0.181998i | 0.576546 | − | 0.817065i | \(-0.304400\pi\) |
0.0432829 | + | 0.999063i | \(0.486218\pi\) | |||||||
\(272\) | 2699.83 | + | 5911.80i | 0.601843 | + | 1.31785i | ||||
\(273\) | 453.871 | + | 3156.74i | 0.100621 | + | 0.699835i | ||||
\(274\) | −34.1135 | − | 21.9234i | −0.00752143 | − | 0.00483373i | ||||
\(275\) | −679.598 | −0.149023 | ||||||||
\(276\) | 2500.40 | − | 3976.05i | 0.545312 | − | 0.867138i | ||||
\(277\) | 722.581 | 0.156735 | 0.0783676 | − | 0.996925i | \(-0.475029\pi\) | ||||
0.0783676 | + | 0.996925i | \(0.475029\pi\) | |||||||
\(278\) | 175.290 | + | 112.652i | 0.0378172 | + | 0.0243036i | ||||
\(279\) | −116.124 | − | 807.660i | −0.0249181 | − | 0.173309i | ||||
\(280\) | −366.747 | − | 803.064i | −0.0782761 | − | 0.171401i | ||||
\(281\) | 4765.27 | + | 1399.21i | 1.01165 | + | 0.297046i | 0.745226 | − | 0.666812i | \(-0.232341\pi\) |
0.266419 | + | 0.963857i | \(0.414160\pi\) | |||||||
\(282\) | −464.134 | + | 1016.31i | −0.0980098 | + | 0.214611i | ||||
\(283\) | 830.070 | − | 957.952i | 0.174355 | − | 0.201217i | −0.661845 | − | 0.749640i | \(-0.730226\pi\) |
0.836201 | + | 0.548424i | \(0.184772\pi\) | |||||||
\(284\) | 185.364 | − | 1289.23i | 0.0387300 | − | 0.269373i | ||||
\(285\) | 1361.39 | − | 399.740i | 0.282953 | − | 0.0830826i | ||||
\(286\) | 328.759 | + | 379.408i | 0.0679717 | + | 0.0784435i | ||||
\(287\) | 780.232 | − | 501.424i | 0.160473 | − | 0.103129i | ||||
\(288\) | −275.372 | + | 176.971i | −0.0563418 | + | 0.0362087i | ||||
\(289\) | −5166.96 | − | 5962.99i | −1.05169 | − | 1.21372i | ||||
\(290\) | 516.293 | − | 151.597i | 0.104544 | − | 0.0306969i | ||||
\(291\) | −16.7438 | + | 116.455i | −0.00337298 | + | 0.0234596i | ||||
\(292\) | −3374.22 | + | 3894.05i | −0.676237 | + | 0.780419i | ||||
\(293\) | 849.042 | − | 1859.14i | 0.169289 | − | 0.370690i | −0.805905 | − | 0.592045i | \(-0.798321\pi\) |
0.975193 | + | 0.221355i | \(0.0710479\pi\) | |||||||
\(294\) | −774.375 | − | 227.377i | −0.153614 | − | 0.0451051i | ||||
\(295\) | −2778.77 | − | 6084.65i | −0.548427 | − | 1.20089i | ||||
\(296\) | −308.187 | − | 2143.49i | −0.0605168 | − | 0.420904i | ||||
\(297\) | 1452.78 | + | 933.645i | 0.283834 | + | 0.182409i | ||||
\(298\) | −1353.66 | −0.263139 | ||||||||
\(299\) | −7248.95 | − | 3224.79i | −1.40207 | − | 0.623727i | ||||
\(300\) | −2180.65 | −0.419666 | ||||||||
\(301\) | 2387.69 | + | 1534.48i | 0.457224 | + | 0.293840i | ||||
\(302\) | −182.009 | − | 1265.90i | −0.0346802 | − | 0.241206i | ||||
\(303\) | 3499.67 | + | 7663.21i | 0.663534 | + | 1.45294i | ||||
\(304\) | −1068.43 | − | 313.720i | −0.201575 | − | 0.0591878i | ||||
\(305\) | −3549.75 | + | 7772.87i | −0.666421 | + | 1.45926i | ||||
\(306\) | 132.378 | − | 152.773i | 0.0247306 | − | 0.0285406i | ||||
\(307\) | 489.131 | − | 3401.98i | 0.0909323 | − | 0.632448i | −0.892483 | − | 0.451081i | \(-0.851039\pi\) |
0.983415 | − | 0.181367i | \(-0.0580522\pi\) | |||||||
\(308\) | −790.881 | + | 232.224i | −0.146314 | + | 0.0429616i | ||||
\(309\) | 3839.57 | + | 4431.10i | 0.706878 | + | 0.815781i | ||||
\(310\) | 1410.91 | − | 906.738i | 0.258498 | − | 0.166127i | ||||
\(311\) | 744.085 | − | 478.194i | 0.135669 | − | 0.0871894i | −0.471046 | − | 0.882109i | \(-0.656123\pi\) |
0.606715 | + | 0.794919i | \(0.292487\pi\) | |||||||
\(312\) | 2147.58 | + | 2478.44i | 0.389688 | + | 0.449724i | ||||
\(313\) | −2271.53 | + | 666.982i | −0.410207 | + | 0.120448i | −0.480324 | − | 0.877091i | \(-0.659481\pi\) |
0.0701172 | + | 0.997539i | \(0.477663\pi\) | |||||||
\(314\) | −240.907 | + | 1675.54i | −0.0432967 | + | 0.301135i | ||||
\(315\) | 237.467 | − | 274.051i | 0.0424754 | − | 0.0490192i | ||||
\(316\) | −2653.33 | + | 5809.98i | −0.472346 | + | 1.03429i | ||||
\(317\) | 199.581 | + | 58.6024i | 0.0353615 | + | 0.0103831i | 0.299365 | − | 0.954139i | \(-0.403225\pi\) |
−0.264004 | + | 0.964522i | \(0.585043\pi\) | |||||||
\(318\) | 336.218 | + | 736.215i | 0.0592898 | + | 0.129827i | ||||
\(319\) | −145.555 | − | 1012.36i | −0.0255471 | − | 0.177684i | ||||
\(320\) | 4565.31 | + | 2933.95i | 0.797527 | + | 0.512540i | ||||
\(321\) | −1183.58 | −0.205797 | ||||||||
\(322\) | −349.588 | + | 308.986i | −0.0605025 | + | 0.0534755i | ||||
\(323\) | 2193.66 | 0.377889 | ||||||||
\(324\) | 5257.46 | + | 3378.76i | 0.901485 | + | 0.579349i | ||||
\(325\) | 524.215 | + | 3645.99i | 0.0894714 | + | 0.622287i | ||||
\(326\) | −123.069 | − | 269.484i | −0.0209085 | − | 0.0457832i | ||||
\(327\) | −7646.35 | − | 2245.17i | −1.29310 | − | 0.379689i | ||||
\(328\) | 396.184 | − | 867.521i | 0.0666938 | − | 0.146039i | ||||
\(329\) | −2029.20 | + | 2341.82i | −0.340041 | + | 0.392428i | ||||
\(330\) | 72.6967 | − | 505.616i | 0.0121267 | − | 0.0843432i | ||||
\(331\) | 8247.64 | − | 2421.73i | 1.36958 | − | 0.402145i | 0.487451 | − | 0.873150i | \(-0.337927\pi\) |
0.882131 | + | 0.471005i | \(0.156109\pi\) | |||||||
\(332\) | −4159.83 | − | 4800.69i | −0.687651 | − | 0.793591i | ||||
\(333\) | 748.274 | − | 480.886i | 0.123139 | − | 0.0791364i | ||||
\(334\) | −103.862 | + | 66.7479i | −0.0170152 | + | 0.0109350i | ||||
\(335\) | 4105.25 | + | 4737.71i | 0.669533 | + | 0.772682i | ||||
\(336\) | −2443.58 | + | 717.498i | −0.396750 | + | 0.116496i | ||||
\(337\) | 199.874 | − | 1390.15i | 0.0323080 | − | 0.224707i | −0.967270 | − | 0.253749i | \(-0.918336\pi\) |
0.999578 | + | 0.0290414i | \(0.00924547\pi\) | |||||||
\(338\) | 1025.20 | − | 1183.14i | 0.164981 | − | 0.190398i | ||||
\(339\) | 1240.38 | − | 2716.05i | 0.198726 | − | 0.435150i | ||||
\(340\) | −11130.7 | − | 3268.28i | −1.77544 | − | 0.521316i | ||||
\(341\) | −1324.28 | − | 2899.76i | −0.210304 | − | 0.460501i | ||||
\(342\) | 4.92912 | + | 34.2828i | 0.000779346 | + | 0.00542047i | ||||
\(343\) | −4203.58 | − | 2701.48i | −0.661726 | − | 0.425265i | ||||
\(344\) | 2918.56 | 0.457437 | ||||||||
\(345\) | 2350.35 | + | 7723.04i | 0.366779 | + | 1.20520i | ||||
\(346\) | −1205.10 | −0.187245 | ||||||||
\(347\) | −2389.53 | − | 1535.66i | −0.369673 | − | 0.237574i | 0.342593 | − | 0.939484i | \(-0.388695\pi\) |
−0.712266 | + | 0.701909i | \(0.752331\pi\) | |||||||
\(348\) | −467.048 | − | 3248.39i | −0.0719437 | − | 0.500379i | ||||
\(349\) | −3054.69 | − | 6688.84i | −0.468521 | − | 1.02592i | −0.985462 | − | 0.169896i | \(-0.945657\pi\) |
0.516941 | − | 0.856021i | \(-0.327071\pi\) | |||||||
\(350\) | 207.840 | + | 61.0272i | 0.0317414 | + | 0.00932012i | ||||
\(351\) | 3888.32 | − | 8514.23i | 0.591291 | − | 1.29475i | ||||
\(352\) | −837.465 | + | 966.486i | −0.126810 | + | 0.146346i | ||||
\(353\) | −1730.05 | + | 12032.8i | −0.260853 | + | 1.81428i | 0.265613 | + | 0.964080i | \(0.414426\pi\) |
−0.526466 | + | 0.850196i | \(0.676483\pi\) | |||||||
\(354\) | 1402.02 | − | 411.671i | 0.210499 | − | 0.0618081i | ||||
\(355\) | 1466.00 | + | 1691.85i | 0.219175 | + | 0.252941i | ||||
\(356\) | −3657.14 | + | 2350.30i | −0.544461 | + | 0.349904i | ||||
\(357\) | 4220.60 | − | 2712.41i | 0.625708 | − | 0.402118i | ||||
\(358\) | −727.132 | − | 839.155i | −0.107347 | − | 0.123885i | ||||
\(359\) | −817.789 | + | 240.124i | −0.120226 | + | 0.0353016i | −0.341292 | − | 0.939957i | \(-0.610865\pi\) |
0.221066 | + | 0.975259i | \(0.429046\pi\) | |||||||
\(360\) | 53.0667 | − | 369.087i | 0.00776906 | − | 0.0540350i | ||||
\(361\) | 4245.56 | − | 4899.63i | 0.618976 | − | 0.714337i | ||||
\(362\) | 176.805 | − | 387.149i | 0.0256703 | − | 0.0562102i | ||||
\(363\) | 6109.38 | + | 1793.88i | 0.883359 | + | 0.259378i | ||||
\(364\) | 1855.92 | + | 4063.89i | 0.267243 | + | 0.585180i | ||||
\(365\) | −1260.33 | − | 8765.78i | −0.180736 | − | 1.25705i | ||||
\(366\) | −1570.31 | − | 1009.18i | −0.224267 | − | 0.144127i | ||||
\(367\) | 13521.3 | 1.92318 | 0.961591 | − | 0.274485i | \(-0.0885074\pi\) | ||||
0.961591 | + | 0.274485i | \(0.0885074\pi\) | |||||||
\(368\) | 1725.13 | − | 6096.20i | 0.244371 | − | 0.863550i | ||||
\(369\) | 391.728 | 0.0552643 | ||||||||
\(370\) | 1538.02 | + | 988.424i | 0.216102 | + | 0.138880i | ||||
\(371\) | 319.450 | + | 2221.83i | 0.0447036 | + | 0.310920i | ||||
\(372\) | −4249.25 | − | 9304.55i | −0.592240 | − | 1.29682i | ||||
\(373\) | 2122.39 | + | 623.191i | 0.294620 | + | 0.0865083i | 0.425702 | − | 0.904863i | \(-0.360027\pi\) |
−0.131082 | + | 0.991371i | \(0.541845\pi\) | |||||||
\(374\) | 328.076 | − | 718.387i | 0.0453594 | − | 0.0993233i | ||||
\(375\) | −3536.47 | + | 4081.30i | −0.486993 | + | 0.562020i | ||||
\(376\) | −453.465 | + | 3153.92i | −0.0621959 | + | 0.432582i | ||||
\(377\) | −5318.96 | + | 1561.79i | −0.726632 | + | 0.213359i | ||||
\(378\) | −360.459 | − | 415.992i | −0.0490477 | − | 0.0566041i | ||||
\(379\) | 801.072 | − | 514.818i | 0.108571 | − | 0.0697742i | −0.485229 | − | 0.874387i | \(-0.661264\pi\) |
0.593799 | + | 0.804613i | \(0.297627\pi\) | |||||||
\(380\) | 1672.09 | − | 1074.59i | 0.225728 | − | 0.145066i | ||||
\(381\) | −1872.16 | − | 2160.59i | −0.251742 | − | 0.290526i | ||||
\(382\) | −25.0707 | + | 7.36141i | −0.00335792 | + | 0.000985976i | ||||
\(383\) | 552.466 | − | 3842.48i | 0.0737067 | − | 0.512641i | −0.919204 | − | 0.393781i | \(-0.871167\pi\) |
0.992911 | − | 0.118860i | \(-0.0379241\pi\) | |||||||
\(384\) | −3559.76 | + | 4108.18i | −0.473068 | + | 0.545950i | ||||
\(385\) | 588.520 | − | 1288.68i | 0.0779059 | − | 0.170590i | ||||
\(386\) | 86.3755 | + | 25.3621i | 0.0113896 | + | 0.00334430i | ||||
\(387\) | 497.991 | + | 1090.45i | 0.0654116 | + | 0.143231i | ||||
\(388\) | 23.4556 | + | 163.137i | 0.00306901 | + | 0.0213455i | ||||
\(389\) | 7420.55 | + | 4768.90i | 0.967189 | + | 0.621575i | 0.925979 | − | 0.377576i | \(-0.123242\pi\) |
0.0412106 | + | 0.999150i | \(0.486879\pi\) | |||||||
\(390\) | −2768.67 | −0.359480 | ||||||||
\(391\) | 122.629 | + | 12480.4i | 0.0158609 | + | 1.61423i | ||||
\(392\) | −2301.66 | −0.296560 | ||||||||
\(393\) | −3963.68 | − | 2547.30i | −0.508756 | − | 0.326958i | ||||
\(394\) | 212.224 | + | 1476.05i | 0.0271363 | + | 0.188737i | ||||
\(395\) | −4560.38 | − | 9985.84i | −0.580905 | − | 1.27201i | ||||
\(396\) | −334.040 | − | 98.0830i | −0.0423893 | − | 0.0124466i | ||||
\(397\) | −876.282 | + | 1918.79i | −0.110779 | + | 0.242573i | −0.956899 | − | 0.290419i | \(-0.906205\pi\) |
0.846120 | + | 0.532992i | \(0.178932\pi\) | |||||||
\(398\) | 330.299 | − | 381.185i | 0.0415989 | − | 0.0480077i | ||||
\(399\) | −122.334 | + | 850.854i | −0.0153493 | + | 0.106757i | ||||
\(400\) | −2822.29 | + | 828.700i | −0.352787 | + | 0.103587i | ||||
\(401\) | −3887.12 | − | 4485.98i | −0.484074 | − | 0.558651i | 0.460198 | − | 0.887816i | \(-0.347778\pi\) |
−0.944273 | + | 0.329165i | \(0.893233\pi\) | |||||||
\(402\) | −1152.02 | + | 740.360i | −0.142929 | + | 0.0918552i | ||||
\(403\) | −14535.5 | + | 9341.41i | −1.79669 | + | 1.15466i | ||||
\(404\) | 7728.36 | + | 8919.01i | 0.951734 | + | 1.09836i | ||||
\(405\) | −10306.2 | + | 3026.19i | −1.26450 | + | 0.371290i | ||||
\(406\) | −46.3941 | + | 322.678i | −0.00567119 | + | 0.0394440i | ||||
\(407\) | 2275.66 | − | 2626.25i | 0.277151 | − | 0.319849i | ||||
\(408\) | 2143.12 | − | 4692.78i | 0.260050 | − | 0.569430i | ||||
\(409\) | 7236.21 | + | 2124.74i | 0.874836 | + | 0.256875i | 0.688171 | − | 0.725549i | \(-0.258414\pi\) |
0.186665 | + | 0.982424i | \(0.440232\pi\) | |||||||
\(410\) | 334.478 | + | 732.404i | 0.0402895 | + | 0.0882217i | ||||
\(411\) | −60.4946 | − | 420.749i | −0.00726029 | − | 0.0504964i | ||||
\(412\) | 6909.62 | + | 4440.54i | 0.826244 | + | 0.530995i | ||||
\(413\) | 4052.55 | 0.482840 | ||||||||
\(414\) | −194.770 | + | 29.9598i | −0.0231218 | + | 0.00355663i | ||||
\(415\) | 10917.8 | 1.29141 | ||||||||
\(416\) | 5831.11 | + | 3747.43i | 0.687245 | + | 0.441665i | ||||
\(417\) | 310.847 | + | 2161.99i | 0.0365042 | + | 0.253892i | ||||
\(418\) | 56.2116 | + | 123.086i | 0.00657751 | + | 0.0144027i | ||||
\(419\) | −12771.8 | − | 3750.15i | −1.48913 | − | 0.437248i | −0.566866 | − | 0.823810i | \(-0.691844\pi\) |
−0.922263 | + | 0.386563i | \(0.873662\pi\) | |||||||
\(420\) | 1888.40 | − | 4135.02i | 0.219392 | − | 0.480401i | ||||
\(421\) | −8078.67 | + | 9323.28i | −0.935226 | + | 1.07931i | 0.0614718 | + | 0.998109i | \(0.480421\pi\) |
−0.996698 | + | 0.0811996i | \(0.974125\pi\) | |||||||
\(422\) | 142.730 | − | 992.708i | 0.0164644 | − | 0.114513i | ||||
\(423\) | −1255.75 | + | 368.723i | −0.144343 | + | 0.0423828i | ||||
\(424\) | 1511.54 | + | 1744.41i | 0.173129 | + | 0.199802i | ||||
\(425\) | 4874.73 | − | 3132.80i | 0.556374 | − | 0.357560i | ||||
\(426\) | −411.391 | + | 264.385i | −0.0467886 | + | 0.0300692i | ||||
\(427\) | −3390.18 | − | 3912.48i | −0.384221 | − | 0.443415i | ||||
\(428\) | −1590.86 | + | 467.118i | −0.179666 | + | 0.0527547i | ||||
\(429\) | −748.937 | + | 5208.97i | −0.0842867 | + | 0.586227i | ||||
\(430\) | −1613.58 | + | 1862.16i | −0.180962 | + | 0.208841i | ||||
\(431\) | 1149.70 | − | 2517.50i | 0.128490 | − | 0.281354i | −0.834443 | − | 0.551094i | \(-0.814210\pi\) |
0.962933 | + | 0.269740i | \(0.0869377\pi\) | |||||||
\(432\) | 7171.71 | + | 2105.80i | 0.798725 | + | 0.234527i | ||||
\(433\) | 1377.38 | + | 3016.05i | 0.152870 | + | 0.334739i | 0.970537 | − | 0.240953i | \(-0.0774600\pi\) |
−0.817667 | + | 0.575692i | \(0.804733\pi\) | |||||||
\(434\) | 144.604 | + | 1005.75i | 0.0159936 | + | 0.111238i | ||||
\(435\) | 4745.13 | + | 3049.51i | 0.523015 | + | 0.336121i | ||||
\(436\) | −11163.6 | −1.22624 | ||||||||
\(437\) | −1629.82 | − | 1384.45i | −0.178410 | − | 0.151550i | ||||
\(438\) | 1934.54 | 0.211041 | ||||||||
\(439\) | 5891.81 | + | 3786.44i | 0.640548 | + | 0.411655i | 0.820202 | − | 0.572075i | \(-0.193861\pi\) |
−0.179653 | + | 0.983730i | \(0.557498\pi\) | |||||||
\(440\) | −207.323 | − | 1441.96i | −0.0224630 | − | 0.156234i | ||||
\(441\) | −392.730 | − | 859.958i | −0.0424068 | − | 0.0928580i | ||||
\(442\) | −4107.16 | − | 1205.97i | −0.441985 | − | 0.129779i | ||||
\(443\) | 1843.29 | − | 4036.23i | 0.197691 | − | 0.432883i | −0.784661 | − | 0.619925i | \(-0.787163\pi\) |
0.982352 | + | 0.187042i | \(0.0598901\pi\) | |||||||
\(444\) | 7301.98 | − | 8426.93i | 0.780488 | − | 0.900731i | ||||
\(445\) | 1063.35 | − | 7395.74i | 0.113275 | − | 0.787846i | ||||
\(446\) | 1396.79 | − | 410.134i | 0.148296 | − | 0.0435435i | ||||
\(447\) | −9292.35 | − | 10723.9i | −0.983251 | − | 1.13473i | ||||
\(448\) | −2765.85 | + | 1777.51i | −0.291684 | + | 0.187454i | ||||
\(449\) | −3222.49 | + | 2070.97i | −0.338705 | + | 0.217673i | −0.698925 | − | 0.715195i | \(-0.746338\pi\) |
0.360220 | + | 0.932867i | \(0.382702\pi\) | |||||||
\(450\) | 59.9133 | + | 69.1436i | 0.00627631 | + | 0.00724325i | ||||
\(451\) | 1468.42 | − | 431.167i | 0.153315 | − | 0.0450175i | ||||
\(452\) | 595.273 | − | 4140.21i | 0.0619453 | − | 0.430839i | ||||
\(453\) | 8779.24 | − | 10131.8i | 0.910563 | − | 1.05085i | ||||
\(454\) | 1014.83 | − | 2222.16i | 0.104908 | − | 0.229716i | ||||
\(455\) | −7367.63 | − | 2163.33i | −0.759120 | − | 0.222898i | ||||
\(456\) | 367.196 | + | 804.047i | 0.0377095 | + | 0.0825723i | ||||
\(457\) | −2134.87 | − | 14848.3i | −0.218523 | − | 1.51986i | −0.743495 | − | 0.668741i | \(-0.766833\pi\) |
0.524972 | − | 0.851119i | \(-0.324076\pi\) | |||||||
\(458\) | 879.911 | + | 565.485i | 0.0897720 | + | 0.0576929i | ||||
\(459\) | −14724.6 | −1.49736 | ||||||||
\(460\) | 6207.16 | + | 9453.02i | 0.629153 | + | 0.958150i | ||||
\(461\) | 2747.37 | 0.277566 | 0.138783 | − | 0.990323i | \(-0.455681\pi\) | ||||
0.138783 | + | 0.990323i | \(0.455681\pi\) | |||||||
\(462\) | 260.345 | + | 167.314i | 0.0262172 | + | 0.0168488i | ||||
\(463\) | 686.506 | + | 4774.75i | 0.0689085 | + | 0.479269i | 0.994830 | + | 0.101553i | \(0.0323813\pi\) |
−0.925922 | + | 0.377716i | \(0.876710\pi\) | |||||||
\(464\) | −1838.94 | − | 4026.73i | −0.183989 | − | 0.402879i | ||||
\(465\) | 16868.7 | + | 4953.09i | 1.68229 | + | 0.493966i | ||||
\(466\) | 88.8414 | − | 194.536i | 0.00883154 | − | 0.0193384i | ||||
\(467\) | 8882.43 | − | 10250.9i | 0.880150 | − | 1.01575i | −0.119588 | − | 0.992824i | \(-0.538157\pi\) |
0.999737 | − | 0.0229232i | \(-0.00729733\pi\) | |||||||
\(468\) | −268.543 | + | 1867.76i | −0.0265244 | + | 0.184481i | ||||
\(469\) | −3644.10 | + | 1070.00i | −0.358782 | + | 0.105348i | ||||
\(470\) | −1761.62 | − | 2033.02i | −0.172889 | − | 0.199524i | ||||
\(471\) | −14927.7 | + | 9593.45i | −1.46036 | + | 0.938519i | ||||
\(472\) | 3505.68 | − | 2252.96i | 0.341869 | − | 0.219706i | ||||
\(473\) | 3066.99 | + | 3539.50i | 0.298141 | + | 0.344073i | ||||
\(474\) | 2300.93 | − | 675.615i | 0.222965 | − | 0.0654684i | ||||
\(475\) | −141.294 | + | 982.724i | −0.0136485 | + | 0.0949273i | ||||
\(476\) | 4602.46 | − | 5311.52i | 0.443179 | − | 0.511456i | ||||
\(477\) | −393.843 | + | 862.396i | −0.0378047 | + | 0.0827807i | ||||
\(478\) | 1794.72 | + | 526.977i | 0.171733 | + | 0.0504255i | ||||
\(479\) | 6872.00 | + | 15047.6i | 0.655511 | + | 1.43537i | 0.886647 | + | 0.462447i | \(0.153029\pi\) |
−0.231136 | + | 0.972922i | \(0.574244\pi\) | |||||||
\(480\) | −1003.72 | − | 6981.00i | −0.0954441 | − | 0.663828i | ||||
\(481\) | −15845.0 | − | 10183.0i | −1.50202 | − | 0.965287i | ||||
\(482\) | 2.63698 | 0.000249193 | ||||||||
\(483\) | −4847.63 | − | 648.436i | −0.456676 | − | 0.0610867i | ||||
\(484\) | 8919.68 | 0.837686 | ||||||||
\(485\) | −238.305 | − | 153.149i | −0.0223111 | − | 0.0143385i | ||||
\(486\) | −70.9335 | − | 493.353i | −0.00662060 | − | 0.0460473i | ||||
\(487\) | 7988.66 | + | 17492.7i | 0.743328 | + | 1.62766i | 0.778002 | + | 0.628262i | \(0.216234\pi\) |
−0.0346736 | + | 0.999399i | \(0.511039\pi\) | |||||||
\(488\) | −5107.80 | − | 1499.78i | −0.473810 | − | 0.139123i | ||||
\(489\) | 1290.08 | − | 2824.87i | 0.119303 | − | 0.261238i | ||||
\(490\) | 1272.51 | − | 1468.56i | 0.117319 | − | 0.135393i | ||||
\(491\) | −2216.23 | + | 15414.2i | −0.203701 | + | 1.41677i | 0.589479 | + | 0.807784i | \(0.299333\pi\) |
−0.793180 | + | 0.608987i | \(0.791576\pi\) | |||||||
\(492\) | 4711.77 | − | 1383.50i | 0.431754 | − | 0.126774i | ||||
\(493\) | 5710.82 | + | 6590.64i | 0.521709 | + | 0.602084i | ||||
\(494\) | 616.989 | − | 396.515i | 0.0561937 | − | 0.0361135i | ||||
\(495\) | 503.377 | − | 323.501i | 0.0457073 | − | 0.0293743i | ||||
\(496\) | −9035.53 | − | 10427.6i | −0.817958 | − | 0.943974i | ||||
\(497\) | −1301.32 | + | 382.102i | −0.117449 | + | 0.0344862i | ||||
\(498\) | −339.414 | + | 2360.68i | −0.0305412 | + | 0.212419i | ||||
\(499\) | 2943.58 | − | 3397.07i | 0.264074 | − | 0.304757i | −0.608192 | − | 0.793790i | \(-0.708105\pi\) |
0.872265 | + | 0.489033i | \(0.162650\pi\) | |||||||
\(500\) | −3142.65 | + | 6881.45i | −0.281088 | + | 0.615496i | ||||
\(501\) | −1241.76 | − | 364.613i | −0.110734 | − | 0.0325144i | ||||
\(502\) | 1496.15 | + | 3276.11i | 0.133021 | + | 0.291275i | ||||
\(503\) | −565.301 | − | 3931.75i | −0.0501104 | − | 0.348525i | −0.999416 | − | 0.0341706i | \(-0.989121\pi\) |
0.949306 | − | 0.314355i | \(-0.101788\pi\) | |||||||
\(504\) | 190.045 | + | 122.135i | 0.0167962 | + | 0.0107943i | ||||
\(505\) | −20283.8 | −1.78736 | ||||||||
\(506\) | −697.136 | + | 326.687i | −0.0612480 | + | 0.0287016i | ||||
\(507\) | 16410.7 | 1.43752 | ||||||||
\(508\) | −3369.11 | − | 2165.19i | −0.294252 | − | 0.189104i | ||||
\(509\) | −1780.01 | − | 12380.3i | −0.155005 | − | 1.07809i | −0.907671 | − | 0.419683i | \(-0.862141\pi\) |
0.752666 | − | 0.658403i | \(-0.228768\pi\) | |||||||
\(510\) | 1809.33 | + | 3961.88i | 0.157095 | + | 0.343990i | ||||
\(511\) | 5147.94 | + | 1511.57i | 0.445659 | + | 0.130857i | ||||
\(512\) | −3877.92 | + | 8491.46i | −0.334730 | + | 0.732956i | ||||
\(513\) | 1652.13 | − | 1906.66i | 0.142190 | − | 0.164096i | ||||
\(514\) | 587.039 | − | 4082.95i | 0.0503759 | − | 0.350372i | ||||
\(515\) | −13545.0 | + | 3977.17i | −1.15896 | + | 0.340301i | ||||
\(516\) | 9841.16 | + | 11357.3i | 0.839598 | + | 0.968948i | ||||
\(517\) | −4301.45 | + | 2764.37i | −0.365914 | + | 0.235159i | ||||
\(518\) | −931.794 | + | 598.828i | −0.0790360 | + | 0.0507934i | ||||
\(519\) | −8272.55 | − | 9547.04i | −0.699662 | − | 0.807454i | ||||
\(520\) | −7576.09 | + | 2224.54i | −0.638911 | + | 0.187601i | ||||
\(521\) | −2255.12 | + | 15684.7i | −0.189633 | + | 1.31893i | 0.643326 | + | 0.765592i | \(0.277554\pi\) |
−0.832959 | + | 0.553334i | \(0.813355\pi\) | |||||||
\(522\) | −90.1673 | + | 104.059i | −0.00756038 | + | 0.00872514i | ||||
\(523\) | −2550.77 | + | 5585.41i | −0.213265 | + | 0.466985i | −0.985786 | − | 0.168004i | \(-0.946268\pi\) |
0.772522 | + | 0.634988i | \(0.218995\pi\) | |||||||
\(524\) | −6332.96 | − | 1859.52i | −0.527971 | − | 0.155026i | ||||
\(525\) | 943.269 | + | 2065.47i | 0.0784145 | + | 0.171704i | ||||
\(526\) | 95.5655 | + | 664.673i | 0.00792178 | + | 0.0550972i | ||||
\(527\) | 22866.2 | + | 14695.2i | 1.89007 | + | 1.21468i | ||||
\(528\) | −4202.39 | −0.346374 | ||||||||
\(529\) | 7785.47 | − | 9349.99i | 0.639884 | − | 0.768471i | ||||
\(530\) | −1948.69 | −0.159709 | ||||||||
\(531\) | 1439.93 | + | 925.389i | 0.117679 | + | 0.0756280i | ||||
\(532\) | 171.373 | + | 1191.92i | 0.0139661 | + | 0.0971362i | ||||
\(533\) | −3445.86 | − | 7545.39i | −0.280032 | − | 0.613184i | ||||
\(534\) | 1566.07 | + | 459.838i | 0.126911 | + | 0.0372643i | ||||
\(535\) | 1183.81 | − | 2592.18i | 0.0956646 | − | 0.209476i | ||||
\(536\) | −2557.50 | + | 2951.51i | −0.206095 | + | 0.237847i | ||||
\(537\) | 1656.46 | − | 11520.9i | 0.133113 | − | 0.925819i | ||||
\(538\) | −104.750 | + | 30.7573i | −0.00839421 | + | 0.00246476i | ||||
\(539\) | −2418.72 | − | 2791.35i | −0.193287 | − | 0.223065i | ||||
\(540\) | −11223.7 | + | 7213.04i | −0.894428 | + | 0.574814i | ||||
\(541\) | −7266.42 | + | 4669.84i | −0.577463 | + | 0.371113i | −0.796532 | − | 0.604596i | \(-0.793334\pi\) |
0.219069 | + | 0.975709i | \(0.429698\pi\) | |||||||
\(542\) | −992.612 | − | 1145.54i | −0.0786649 | − | 0.0907841i | ||||
\(543\) | 4280.76 | − | 1256.94i | 0.338315 | − | 0.0993382i | ||||
\(544\) | 1551.81 | − | 10793.1i | 0.122304 | − | 0.850643i | ||||
\(545\) | 12565.1 | − | 14500.8i | 0.987574 | − | 1.13972i | ||||
\(546\) | 696.806 | − | 1525.79i | 0.0546164 | − | 0.119593i | ||||
\(547\) | 10632.6 | + | 3122.01i | 0.831110 | + | 0.244036i | 0.669494 | − | 0.742818i | \(-0.266511\pi\) |
0.161616 | + | 0.986854i | \(0.448329\pi\) | |||||||
\(548\) | −247.367 | − | 541.658i | −0.0192828 | − | 0.0422235i | ||||
\(549\) | −311.180 | − | 2164.31i | −0.0241910 | − | 0.168252i | ||||
\(550\) | 300.695 | + | 193.245i | 0.0233121 | + | 0.0149818i | ||||
\(551\) | −1494.17 | −0.115524 | ||||||||
\(552\) | −4553.96 | + | 2134.05i | −0.351140 | + | 0.164549i | ||||
\(553\) | 6650.85 | 0.511434 | ||||||||
\(554\) | −319.713 | − | 205.467i | −0.0245186 | − | 0.0157571i | ||||
\(555\) | 2727.42 | + | 18969.6i | 0.208599 | + | 1.45084i | ||||
\(556\) | 1271.08 | + | 2783.27i | 0.0969527 | + | 0.212297i | ||||
\(557\) | −19394.0 | − | 5694.60i | −1.47532 | − | 0.433192i | −0.557493 | − | 0.830182i | \(-0.688237\pi\) |
−0.917823 | + | 0.396990i | \(0.870055\pi\) | |||||||
\(558\) | −178.279 | + | 390.377i | −0.0135254 | + | 0.0296165i | ||||
\(559\) | 16623.4 | − | 19184.4i | 1.25777 | − | 1.45155i | ||||
\(560\) | 872.644 | − | 6069.38i | 0.0658499 | − | 0.457996i | ||||
\(561\) | 7943.30 | − | 2332.36i | 0.597801 | − | 0.175530i | ||||
\(562\) | −1710.57 | − | 1974.11i | −0.128392 | − | 0.148172i | ||||
\(563\) | 19417.5 | − | 12478.9i | 1.45355 | − | 0.934142i | 0.454495 | − | 0.890749i | \(-0.349820\pi\) |
0.999058 | − | 0.0433924i | \(-0.0138166\pi\) | |||||||
\(564\) | −13802.2 | + | 8870.13i | −1.03046 | + | 0.662234i | ||||
\(565\) | 4707.87 | + | 5433.17i | 0.350552 | + | 0.404558i | ||||
\(566\) | −639.668 | + | 187.823i | −0.0475040 | + | 0.0139484i | ||||
\(567\) | 926.120 | − | 6441.31i | 0.0685950 | − | 0.477089i | ||||
\(568\) | −913.290 | + | 1053.99i | −0.0674662 | + | 0.0778602i | ||||
\(569\) | 3050.01 | − | 6678.59i | 0.224715 | − | 0.492058i | −0.763371 | − | 0.645961i | \(-0.776457\pi\) |
0.988086 | + | 0.153903i | \(0.0491842\pi\) | |||||||
\(570\) | −716.026 | − | 210.244i | −0.0526158 | − | 0.0154494i | ||||
\(571\) | −3577.72 | − | 7834.11i | −0.262212 | − | 0.574163i | 0.732036 | − | 0.681266i | \(-0.238570\pi\) |
−0.994248 | + | 0.107102i | \(0.965843\pi\) | |||||||
\(572\) | 1049.15 | + | 7297.02i | 0.0766910 | + | 0.533398i | ||||
\(573\) | −230.419 | − | 148.081i | −0.0167991 | − | 0.0107961i | ||||
\(574\) | −487.802 | −0.0354712 | ||||||||
\(575\) | −5598.94 | − | 748.934i | −0.406073 | − | 0.0543178i | ||||
\(576\) | −1388.64 | −0.100451 | ||||||||
\(577\) | −2255.96 | − | 1449.82i | −0.162767 | − | 0.104604i | 0.456721 | − | 0.889610i | \(-0.349024\pi\) |
−0.619489 | + | 0.785006i | \(0.712660\pi\) | |||||||
\(578\) | 590.586 | + | 4107.61i | 0.0425002 | + | 0.295596i | ||||
\(579\) | 392.010 | + | 858.383i | 0.0281371 | + | 0.0616117i | ||||
\(580\) | 7581.52 | + | 2226.14i | 0.542768 | + | 0.159371i | ||||
\(581\) | −2747.74 | + | 6016.72i | −0.196206 | + | 0.429631i | ||||
\(582\) | 40.5227 | − | 46.7657i | 0.00288612 | − | 0.00333076i | ||||
\(583\) | −527.128 | + | 3666.25i | −0.0374466 | + | 0.260447i | ||||
\(584\) | 5293.60 | − | 1554.34i | 0.375087 | − | 0.110136i | ||||
\(585\) | −2123.84 | − | 2451.04i | −0.150103 | − | 0.173228i | ||||
\(586\) | −904.317 | + | 581.169i | −0.0637491 | + | 0.0409691i | ||||
\(587\) | 9418.37 | − | 6052.82i | 0.662245 | − | 0.425599i | −0.165877 | − | 0.986146i | \(-0.553046\pi\) |
0.828122 | + | 0.560547i | \(0.189409\pi\) | |||||||
\(588\) | −7761.02 | − | 8956.69i | −0.544318 | − | 0.628176i | ||||
\(589\) | −4468.49 | + | 1312.07i | −0.312599 | + | 0.0917874i | ||||
\(590\) | −500.687 | + | 3482.36i | −0.0349372 | + | 0.242994i | ||||
\(591\) | −10236.7 | + | 11813.8i | −0.712491 | + | 0.822259i | ||||
\(592\) | 6248.11 | − | 13681.5i | 0.433777 | − | 0.949838i | ||||
\(593\) | −1521.82 | − | 446.846i | −0.105385 | − | 0.0309440i | 0.228615 | − | 0.973517i | \(-0.426580\pi\) |
−0.334000 | + | 0.942573i | \(0.608399\pi\) | |||||||
\(594\) | −377.313 | − | 826.200i | −0.0260629 | − | 0.0570697i | ||||
\(595\) | 1719.10 | + | 11956.6i | 0.118447 | + | 0.823819i | ||||
\(596\) | −16722.3 | − | 10746.8i | −1.14928 | − | 0.738600i | ||||
\(597\) | 5287.19 | 0.362463 | ||||||||
\(598\) | 2290.39 | + | 3488.09i | 0.156624 | + | 0.238526i | ||||
\(599\) | −15953.8 | −1.08824 | −0.544118 | − | 0.839009i | \(-0.683136\pi\) | ||||
−0.544118 | + | 0.839009i | \(0.683136\pi\) | |||||||
\(600\) | 1964.25 | + | 1262.35i | 0.133651 | + | 0.0858920i | ||||
\(601\) | −3712.51 | − | 25821.1i | −0.251974 | − | 1.75252i | −0.586329 | − | 0.810073i | \(-0.699427\pi\) |
0.334355 | − | 0.942447i | \(-0.391482\pi\) | |||||||
\(602\) | −620.127 | − | 1357.89i | −0.0419842 | − | 0.0919326i | ||||
\(603\) | −1539.14 | − | 451.932i | −0.103945 | − | 0.0305209i | ||||
\(604\) | 7801.60 | − | 17083.1i | 0.525568 | − | 1.15083i | ||||
\(605\) | −10039.4 | + | 11586.1i | −0.674644 | + | 0.778581i | ||||
\(606\) | 630.583 | − | 4385.80i | 0.0422701 | − | 0.293995i | ||||
\(607\) | −6502.52 | + | 1909.31i | −0.434809 | + | 0.127671i | −0.491810 | − | 0.870703i | \(-0.663664\pi\) |
0.0570008 | + | 0.998374i | \(0.481846\pi\) | |||||||
\(608\) | 1223.46 | + | 1411.95i | 0.0816082 | + | 0.0941809i | ||||
\(609\) | −2874.79 | + | 1847.52i | −0.191285 | + | 0.122931i | ||||
\(610\) | 3780.85 | − | 2429.81i | 0.250954 | − | 0.161279i | ||||
\(611\) | 18148.6 | + | 20944.6i | 1.20166 | + | 1.38679i | ||||
\(612\) | 2848.20 | − | 836.306i | 0.188123 | − | 0.0552380i | ||||
\(613\) | −577.035 | + | 4013.36i | −0.0380199 | + | 0.264434i | −0.999961 | − | 0.00882233i | \(-0.997192\pi\) |
0.961941 | + | 0.273257i | \(0.0881008\pi\) | |||||||
\(614\) | −1183.78 | + | 1366.16i | −0.0778070 | + | 0.0897940i | ||||
\(615\) | −3506.18 | + | 7677.46i | −0.229891 | + | 0.503390i | ||||
\(616\) | 846.831 | + | 248.652i | 0.0553893 | + | 0.0162638i | ||||
\(617\) | 10376.6 | + | 22721.5i | 0.677059 | + | 1.48255i | 0.865730 | + | 0.500512i | \(0.166855\pi\) |
−0.188671 | + | 0.982040i | \(0.560418\pi\) | |||||||
\(618\) | −438.865 | − | 3052.37i | −0.0285659 | − | 0.198680i | ||||
\(619\) | −8356.65 | − | 5370.49i | −0.542621 | − | 0.348721i | 0.240442 | − | 0.970663i | \(-0.422707\pi\) |
−0.783063 | + | 0.621942i | \(0.786344\pi\) | |||||||
\(620\) | 24628.2 | 1.59531 | ||||||||
\(621\) | 10940.0 | + | 9292.92i | 0.706934 | + | 0.600503i | ||||
\(622\) | −465.203 | −0.0299886 | ||||||||
\(623\) | 3808.11 | + | 2447.32i | 0.244894 | + | 0.157384i | ||||
\(624\) | 3241.55 | + | 22545.5i | 0.207958 | + | 1.44638i | ||||
\(625\) | −8060.63 | − | 17650.3i | −0.515881 | − | 1.12962i | ||||
\(626\) | 1194.72 | + | 350.801i | 0.0762789 | + | 0.0223975i | ||||
\(627\) | −589.241 | + | 1290.26i | −0.0375311 | + | 0.0821817i | ||||
\(628\) | −16278.3 | + | 18786.1i | −1.03435 | + | 1.19371i | ||||
\(629\) | −4216.77 | + | 29328.3i | −0.267303 | + | 1.85913i | ||||
\(630\) | −182.997 | + | 53.7326i | −0.0115726 | + | 0.00339803i | ||||
\(631\) | −4980.39 | − | 5747.68i | −0.314210 | − | 0.362617i | 0.576574 | − | 0.817045i | \(-0.304389\pi\) |
−0.890784 | + | 0.454428i | \(0.849844\pi\) | |||||||
\(632\) | 5753.36 | − | 3697.46i | 0.362114 | − | 0.232717i | ||||
\(633\) | 8844.20 | − | 5683.82i | 0.555332 | − | 0.356890i | ||||
\(634\) | −71.6430 | − | 82.6805i | −0.00448787 | − | 0.00517928i | ||||
\(635\) | 6604.49 | − | 1939.25i | 0.412742 | − | 0.121192i | ||||
\(636\) | −1691.41 | + | 11764.0i | −0.105454 | + | 0.733449i | ||||
\(637\) | −13109.7 | + | 15129.4i | −0.815423 | + | 0.941048i | ||||
\(638\) | −223.464 | + | 489.317i | −0.0138668 | + | 0.0303640i | ||||
\(639\) | −549.631 | − | 161.386i | −0.0340267 | − | 0.00999115i | ||||
\(640\) | −5436.97 | − | 11905.3i | −0.335805 | − | 0.735310i | ||||
\(641\) | −549.425 | − | 3821.33i | −0.0338549 | − | 0.235466i | 0.965867 | − | 0.259037i | \(-0.0834053\pi\) |
−0.999722 | + | 0.0235716i | \(0.992496\pi\) | |||||||
\(642\) | 523.685 | + | 336.552i | 0.0321935 | + | 0.0206895i | ||||
\(643\) | 10167.9 | 0.623612 | 0.311806 | − | 0.950146i | \(-0.399066\pi\) | ||||
0.311806 | + | 0.950146i | \(0.399066\pi\) | |||||||
\(644\) | −6771.67 | + | 1041.63i | −0.414350 | + | 0.0637358i | ||||
\(645\) | −25829.0 | −1.57677 | ||||||||
\(646\) | −970.604 | − | 623.769i | −0.0591144 | − | 0.0379905i | ||||
\(647\) | −1328.49 | − | 9239.84i | −0.0807238 | − | 0.561446i | −0.989541 | − | 0.144252i | \(-0.953922\pi\) |
0.908817 | − | 0.417194i | \(-0.136987\pi\) | |||||||
\(648\) | −2779.82 | − | 6086.96i | −0.168521 | − | 0.369010i | ||||
\(649\) | 6416.26 | + | 1883.98i | 0.388074 | + | 0.113949i | ||||
\(650\) | 804.800 | − | 1762.27i | 0.0485644 | − | 0.106341i | ||||
\(651\) | −6975.04 | + | 8049.63i | −0.419928 | + | 0.484623i | ||||
\(652\) | 619.123 | − | 4306.09i | 0.0371882 | − | 0.258650i | ||||
\(653\) | −13870.7 | + | 4072.81i | −0.831245 | + | 0.244075i | −0.669551 | − | 0.742766i | \(-0.733514\pi\) |
−0.161693 | + | 0.986841i | \(0.551695\pi\) | |||||||
\(654\) | 2744.78 | + | 3167.65i | 0.164112 | + | 0.189396i | ||||
\(655\) | 9543.37 | − | 6133.15i | 0.569298 | − | 0.365866i | ||||
\(656\) | 5572.42 | − | 3581.18i | 0.331656 | − | 0.213143i | ||||
\(657\) | 1483.98 | + | 1712.61i | 0.0881212 | + | 0.101697i | ||||
\(658\) | 1563.74 | − | 459.155i | 0.0926457 | − | 0.0272032i | ||||
\(659\) | 2384.81 | − | 16586.7i | 0.140970 | − | 0.980466i | −0.789409 | − | 0.613867i | \(-0.789613\pi\) |
0.930379 | − | 0.366599i | \(-0.119478\pi\) | |||||||
\(660\) | 4912.17 | − | 5668.95i | 0.289706 | − | 0.334339i | ||||
\(661\) | −3679.60 | + | 8057.20i | −0.216520 | + | 0.474113i | −0.986460 | − | 0.164004i | \(-0.947559\pi\) |
0.769940 | + | 0.638117i | \(0.220286\pi\) | |||||||
\(662\) | −4337.87 | − | 1273.71i | −0.254677 | − | 0.0747799i | ||||
\(663\) | −18640.1 | − | 40816.1i | −1.09189 | − | 2.39090i | ||||
\(664\) | 967.970 | + | 6732.38i | 0.0565731 | + | 0.393474i | ||||
\(665\) | −1741.12 | − | 1118.95i | −0.101530 | − | 0.0652496i | ||||
\(666\) | −467.822 | −0.0272188 | ||||||||
\(667\) | −83.5265 | − | 8500.84i | −0.00484882 | − | 0.493484i | ||||
\(668\) | −1812.96 | −0.105009 | ||||||||
\(669\) | 12837.6 | + | 8250.20i | 0.741897 | + | 0.476788i | ||||
\(670\) | −469.232 | − | 3263.58i | −0.0270567 | − | 0.188184i | ||||
\(671\) | −3548.69 | − | 7770.56i | −0.204167 | − | 0.447063i | ||||
\(672\) | 4099.78 | + | 1203.80i | 0.235346 | + | 0.0691038i | ||||
\(673\) | 1928.85 | − | 4223.60i | 0.110478 | − | 0.241913i | −0.846315 | − | 0.532683i | \(-0.821184\pi\) |
0.956793 | + | 0.290769i | \(0.0939112\pi\) | |||||||
\(674\) | −483.728 | + | 558.252i | −0.0276447 | + | 0.0319036i | ||||
\(675\) | 948.419 | − | 6596.40i | 0.0540810 | − | 0.376142i | ||||
\(676\) | 22057.8 | − | 6476.74i | 1.25499 | − | 0.368499i | ||||
\(677\) | −3310.98 | − | 3821.07i | −0.187964 | − | 0.216921i | 0.653945 | − | 0.756543i | \(-0.273113\pi\) |
−0.841908 | + | 0.539621i | \(0.818568\pi\) | |||||||
\(678\) | −1321.13 | + | 849.040i | −0.0748345 | + | 0.0480932i | ||||
\(679\) | 144.375 | − | 92.7840i | 0.00815993 | − | 0.00524407i | ||||
\(680\) | 8134.24 | + | 9387.41i | 0.458726 | + | 0.529398i | ||||
\(681\) | 24570.7 | − | 7214.62i | 1.38260 | − | 0.405969i | ||||
\(682\) | −238.613 | + | 1659.59i | −0.0133973 | + | 0.0931802i | ||||
\(683\) | −13635.9 | + | 15736.6i | −0.763926 | + | 0.881618i | −0.995840 | − | 0.0911183i | \(-0.970956\pi\) |
0.231914 | + | 0.972736i | \(0.425501\pi\) | |||||||
\(684\) | −211.282 | + | 462.642i | −0.0118107 | + | 0.0258619i | ||||
\(685\) | 982.000 | + | 288.341i | 0.0547741 | + | 0.0160831i | ||||
\(686\) | 1091.75 | + | 2390.59i | 0.0607624 | + | 0.133051i | ||||
\(687\) | 1560.37 | + | 10852.6i | 0.0866550 | + | 0.602699i | ||||
\(688\) | 17052.9 | + | 10959.3i | 0.944966 | + | 0.607293i | ||||
\(689\) | 20075.8 | 1.11005 | ||||||||
\(690\) | 1156.12 | − | 4085.46i | 0.0637866 | − | 0.225407i | ||||
\(691\) | −14920.6 | −0.821429 | −0.410715 | − | 0.911764i | \(-0.634721\pi\) | ||||
−0.410715 | + | 0.911764i | \(0.634721\pi\) | |||||||
\(692\) | −14887.1 | − | 9567.38i | −0.817809 | − | 0.525574i | ||||
\(693\) | 51.5911 | + | 358.824i | 0.00282797 | + | 0.0196690i | ||||
\(694\) | 620.603 | + | 1358.93i | 0.0339449 | + | 0.0743290i | ||||
\(695\) | −5045.93 | − | 1481.62i | −0.275400 | − | 0.0808648i | ||||
\(696\) | −1459.75 | + | 3196.41i | −0.0794997 | + | 0.174080i | ||||
\(697\) | −8545.34 | + | 9861.85i | −0.464387 | + | 0.535931i | ||||
\(698\) | −550.404 | + | 3828.15i | −0.0298469 | + | 0.207589i | ||||
\(699\) | 2151.01 | − | 631.592i | 0.116393 | − | 0.0341760i | ||||
\(700\) | 2083.03 | + | 2403.95i | 0.112473 | + | 0.129801i | ||||
\(701\) | 17144.7 | − | 11018.2i | 0.923747 | − | 0.593656i | 0.0100044 | − | 0.999950i | \(-0.496815\pi\) |
0.913742 | + | 0.406294i | \(0.133179\pi\) | |||||||
\(702\) | −4141.46 | + | 2661.55i | −0.222663 | + | 0.143097i | ||||
\(703\) | −3324.53 | − | 3836.71i | −0.178360 | − | 0.205838i | ||||
\(704\) | −5205.42 | + | 1528.45i | −0.278674 | + | 0.0818262i | ||||
\(705\) | 4013.11 | − | 27911.8i | 0.214386 | − | 1.49109i | ||||
\(706\) | 4187.01 | − | 4832.07i | 0.223202 | − | 0.257588i | ||||
\(707\) | 5104.92 | − | 11178.2i | 0.271556 | − | 0.594625i | ||||
\(708\) | 20588.1 | + | 6045.20i | 1.09286 | + | 0.320893i | ||||
\(709\) | −2626.13 | − | 5750.43i | −0.139106 | − | 0.304601i | 0.827238 | − | 0.561851i | \(-0.189911\pi\) |
−0.966345 | + | 0.257251i | \(0.917183\pi\) | |||||||
\(710\) | −167.564 | − | 1165.43i | −0.00885714 | − | 0.0616028i | ||||
\(711\) | 2363.15 | + | 1518.70i | 0.124648 | + | 0.0801067i | ||||
\(712\) | 4654.79 | 0.245008 | ||||||||
\(713\) | −7714.58 | − | 25349.4i | −0.405208 | − | 1.33147i | ||||
\(714\) | −2638.72 | −0.138308 | ||||||||
\(715\) | −10659.2 | − | 6850.26i | −0.557527 | − | 0.358301i | ||||
\(716\) | −2320.46 | − | 16139.2i | −0.121117 | − | 0.842387i | ||||
\(717\) | 8145.24 | + | 17835.6i | 0.424253 | + | 0.928985i | ||||
\(718\) | 430.118 | + | 126.294i | 0.0223564 | + | 0.00656442i | ||||
\(719\) | −12604.0 | + | 27599.0i | −0.653757 | + | 1.43153i | 0.234471 | + | 0.972123i | \(0.424664\pi\) |
−0.888227 | + | 0.459404i | \(0.848063\pi\) | |||||||
\(720\) | 1695.99 | − | 1957.28i | 0.0877859 | − | 0.101310i | ||||
\(721\) | 1217.15 | − | 8465.49i | 0.0628698 | − | 0.437269i | ||||
\(722\) | −3271.71 | + | 960.660i | −0.168643 | + | 0.0495181i | ||||
\(723\) | 18.1018 | + | 20.8906i | 0.000931141 | + | 0.00107459i | ||||
\(724\) | 5257.74 | − | 3378.95i | 0.269893 | − | 0.173450i | ||||
\(725\) | −3320.34 | + | 2133.85i | −0.170089 | + | 0.109309i | ||||
\(726\) | −2193.06 | − | 2530.93i | −0.112111 | − | 0.129382i | ||||
\(727\) | −34798.4 | + | 10217.7i | −1.77524 | + | 0.521258i | −0.994606 | − | 0.103729i | \(-0.966923\pi\) |
−0.780635 | + | 0.624987i | \(0.785104\pi\) | |||||||
\(728\) | 680.788 | − | 4734.98i | 0.0346589 | − | 0.241058i | ||||
\(729\) | −10885.7 | + | 12562.8i | −0.553051 | + | 0.638255i | ||||
\(730\) | −1934.92 | + | 4236.88i | −0.0981022 | + | 0.214814i | ||||
\(731\) | −38315.7 | − | 11250.5i | −1.93866 | − | 0.569241i | ||||
\(732\) | −11386.8 | − | 24933.6i | −0.574957 | − | 1.25898i | ||||
\(733\) | 4157.00 | + | 28912.6i | 0.209471 | + | 1.45690i | 0.774888 | + | 0.632099i | \(0.217806\pi\) |
−0.565417 | + | 0.824805i | \(0.691285\pi\) | |||||||
\(734\) | −5982.65 | − | 3844.81i | −0.300849 | − | 0.193344i | ||||
\(735\) | 20369.5 | 1.02223 | ||||||||
\(736\) | −7964.63 | + | 7039.58i | −0.398886 | + | 0.352558i | ||||
\(737\) | −6267.02 | −0.313227 | ||||||||
\(738\) | −173.324 | − | 111.388i | −0.00864517 | − | 0.00555591i | ||||
\(739\) | 4535.14 | + | 31542.6i | 0.225748 | + | 1.57011i | 0.715728 | + | 0.698380i | \(0.246095\pi\) |
−0.489979 | + | 0.871734i | \(0.662996\pi\) | |||||||
\(740\) | 11152.6 | + | 24420.8i | 0.554025 | + | 1.21315i | ||||
\(741\) | 7376.65 | + | 2165.98i | 0.365706 | + | 0.107381i | ||||
\(742\) | 490.436 | − | 1073.91i | 0.0242648 | − | 0.0531325i | ||||
\(743\) | 21538.6 | − | 24856.9i | 1.06349 | − | 1.22734i | 0.0906476 | − | 0.995883i | \(-0.471106\pi\) |
0.972846 | − | 0.231454i | \(-0.0743482\pi\) | |||||||
\(744\) | −1558.71 | + | 10841.1i | −0.0768079 | + | 0.534211i | ||||
\(745\) | 32781.0 | − | 9625.36i | 1.61208 | − | 0.473350i | ||||
\(746\) | −761.868 | − | 879.242i | −0.0373914 | − | 0.0431519i | ||||
\(747\) | −2350.22 | + | 1510.39i | −0.115114 | + | 0.0739792i | ||||
\(748\) | 9756.18 | − | 6269.92i | 0.476900 | − | 0.306485i | ||||
\(749\) | 1130.59 | + | 1304.78i | 0.0551549 | + | 0.0636522i | ||||
\(750\) | 2725.27 | − | 800.211i | 0.132684 | − | 0.0389594i | ||||
\(751\) | −3523.27 | + | 24504.9i | −0.171193 | + | 1.19067i | 0.705176 | + | 0.709032i | \(0.250868\pi\) |
−0.876369 | + | 0.481640i | \(0.840041\pi\) | |||||||
\(752\) | −14492.6 | + | 16725.3i | −0.702778 | + | 0.811049i | ||||
\(753\) | −15683.4 | + | 34341.9i | −0.759012 | + | 1.66200i | ||||
\(754\) | 2797.52 | + | 821.427i | 0.135119 | + | 0.0396745i | ||||
\(755\) | 13408.9 | + | 29361.4i | 0.646358 | + | 1.41533i | ||||
\(756\) | −1150.32 | − | 8000.63i | −0.0553395 | − | 0.384894i | ||||
\(757\) | −12562.8 | − | 8073.59i | −0.603172 | − | 0.387635i | 0.203119 | − | 0.979154i | \(-0.434892\pi\) |
−0.806291 | + | 0.591519i | \(0.798528\pi\) | |||||||
\(758\) | −500.831 | −0.0239987 | ||||||||
\(759\) | −7373.64 | − | 3280.26i | −0.352630 | − | 0.156872i | ||||
\(760\) | −2128.23 | −0.101578 | ||||||||
\(761\) | 1643.09 | + | 1055.95i | 0.0782681 | + | 0.0502999i | 0.579190 | − | 0.815193i | \(-0.303369\pi\) |
−0.500921 | + | 0.865493i | \(0.667005\pi\) | |||||||
\(762\) | 213.989 | + | 1488.33i | 0.0101732 | + | 0.0707564i | ||||
\(763\) | 4828.98 | + | 10574.0i | 0.229123 | + | 0.501710i | ||||
\(764\) | −368.151 | − | 108.099i | −0.0174336 | − | 0.00511896i | ||||
\(765\) | −2119.43 | + | 4640.91i | −0.100168 | + | 0.219337i | ||||
\(766\) | −1337.06 | + | 1543.05i | −0.0630678 | + | 0.0727841i | ||||
\(767\) | 5158.19 | − | 35876.0i | 0.242831 | − | 1.68893i | ||||
\(768\) | −14557.8 | + | 4274.56i | −0.683998 | + | 0.200840i | ||||
\(769\) | 23475.2 | + | 27091.8i | 1.10083 | + | 1.27042i | 0.959882 | + | 0.280406i | \(0.0904690\pi\) |
0.140946 | + | 0.990017i | \(0.454986\pi\) | |||||||
\(770\) | −626.834 | + | 402.842i | −0.0293371 | + | 0.0188538i | ||||
\(771\) | 36375.6 | − | 23377.2i | 1.69914 | − | 1.09197i | ||||
\(772\) | 865.681 | + | 999.049i | 0.0403582 | + | 0.0465759i | ||||
\(773\) | 30693.7 | − | 9012.47i | 1.42817 | − | 0.419348i | 0.525908 | − | 0.850541i | \(-0.323725\pi\) |
0.902260 | + | 0.431193i | \(0.141907\pi\) | |||||||
\(774\) | 89.7297 | − | 624.084i | 0.00416701 | − | 0.0289822i | ||||
\(775\) | −8056.07 | + | 9297.20i | −0.373397 | + | 0.430923i | ||||
\(776\) | 73.3101 | − | 160.527i | 0.00339134 | − | 0.00742600i | ||||
\(777\) | −11140.4 | − | 3271.12i | −0.514363 | − | 0.151031i | ||||
\(778\) | −1927.25 | − | 4220.09i | −0.0888114 | − | 0.194470i | ||||
\(779\) | −318.186 | − | 2213.04i | −0.0146344 | − | 0.101785i | ||||
\(780\) | −34202.5 | − | 21980.6i | −1.57006 | − | 1.00902i | ||||
\(781\) | −2237.97 | −0.102536 | ||||||||
\(782\) | 3494.57 | − | 5556.96i | 0.159803 | − | 0.254113i | ||||
\(783\) | 10029.4 | 0.457756 | ||||||||
\(784\) | −13448.4 | − | 8642.78i | −0.612629 | − | 0.393713i | ||||
\(785\) | −6080.22 | − | 42288.9i | −0.276449 | − | 1.92274i | ||||
\(786\) | 1029.44 | + | 2254.16i | 0.0467161 | + | 0.102294i | ||||
\(787\) | −141.788 | − | 41.6327i | −0.00642210 | − | 0.00188570i | 0.278520 | − | 0.960430i | \(-0.410156\pi\) |
−0.284942 | + | 0.958545i | \(0.591974\pi\) | |||||||
\(788\) | −9096.78 | + | 19919.2i | −0.411243 | + | 0.900496i | ||||
\(789\) | −4609.64 | + | 5319.81i | −0.207994 | + | 0.240038i | ||||
\(790\) | −821.705 | + | 5715.08i | −0.0370063 | + | 0.257384i | ||||
\(791\) | −4179.03 | + | 1227.07i | −0.187850 | + | 0.0551577i | ||||
\(792\) | 244.113 | + | 281.722i | 0.0109523 | + | 0.0126396i | ||||
\(793\) | −38951.1 | + | 25032.4i | −1.74426 | + | 1.12097i | ||||
\(794\) | 933.330 | − | 599.815i | 0.0417162 | − | 0.0268094i | ||||
\(795\) | −13377.0 | − | 15437.8i | −0.596770 | − | 0.688709i | ||||
\(796\) | 7106.57 | − | 2086.68i | 0.316439 | − | 0.0929149i | ||||
\(797\) | −1283.74 | + | 8928.63i | −0.0570546 | + | 0.396823i | 0.941204 | + | 0.337838i | \(0.109696\pi\) |
−0.998259 | + | 0.0589853i | \(0.981213\pi\) | |||||||
\(798\) | 296.070 | − | 341.683i | 0.0131338 | − | 0.0151572i | ||||
\(799\) | 18111.0 | − | 39657.5i | 0.801902 | − | 1.75592i | ||||
\(800\) | 4735.18 | + | 1390.38i | 0.209268 | + | 0.0614465i | ||||
\(801\) | 794.241 | + | 1739.15i | 0.0350351 | + | 0.0767162i | ||||
\(802\) | 444.300 | + | 3090.18i | 0.0195621 | + | 0.136057i | ||||
\(803\) | 7447.86 | + | 4786.45i | 0.327309 | + | 0.210349i | ||||
\(804\) | −20109.2 | −0.882084 | ||||||||
\(805\) | 6268.74 | − | 9968.35i | 0.274465 | − | 0.436445i | ||||
\(806\) | 9087.62 | 0.397144 | ||||||||
\(807\) | −962.732 | − | 618.710i | −0.0419947 | − | 0.0269884i | ||||
\(808\) | −1798.35 | − | 12507.8i | −0.0782992 | − | 0.544583i | ||||
\(809\) | 11307.6 | + | 24760.1i | 0.491413 | + | 1.07604i | 0.979166 | + | 0.203063i | \(0.0650895\pi\) |
−0.487753 | + | 0.872982i | \(0.662183\pi\) | |||||||
\(810\) | 5420.60 | + | 1591.63i | 0.235136 | + | 0.0690423i | ||||
\(811\) | −2094.12 | + | 4585.49i | −0.0906715 | + | 0.198543i | −0.949535 | − | 0.313662i | \(-0.898444\pi\) |
0.858863 | + | 0.512205i | \(0.171171\pi\) | |||||||
\(812\) | −3134.89 | + | 3617.85i | −0.135484 | + | 0.156357i | ||||
\(813\) | 2261.25 | − | 15727.3i | 0.0975465 | − | 0.678451i | ||||
\(814\) | −1753.67 | + | 514.923i | −0.0755110 | + | 0.0221720i | ||||
\(815\) | 4896.50 | + | 5650.86i | 0.210450 | + | 0.242872i | ||||
\(816\) | 30143.6 | − | 19372.1i | 1.29318 | − | 0.831077i | ||||
\(817\) | 5755.90 | − | 3699.09i | 0.246479 | − | 0.158403i | ||||
\(818\) | −2597.56 | − | 2997.74i | −0.111029 | − | 0.128134i | ||||
\(819\) | 1885.27 | − | 553.565i | 0.0804355 | − | 0.0236180i | ||||
\(820\) | −1682.66 | + | 11703.1i | −0.0716597 | + | 0.498404i | ||||
\(821\) | 30349.9 | − | 35025.7i | 1.29016 | − | 1.48892i | 0.514942 | − | 0.857225i | \(-0.327813\pi\) |
0.775216 | − | 0.631697i | \(-0.217641\pi\) | |||||||
\(822\) | −92.8742 | + | 203.366i | −0.00394083 | + | 0.00862921i | ||||
\(823\) | −17289.7 | − | 5076.71i | −0.732297 | − | 0.215022i | −0.105736 | − | 0.994394i | \(-0.533720\pi\) |
−0.626561 | + | 0.779372i | \(0.715538\pi\) | |||||||
\(824\) | −3653.38 | − | 7999.78i | −0.154456 | − | 0.338211i | ||||
\(825\) | 533.231 | + | 3708.71i | 0.0225027 | + | 0.156510i | ||||
\(826\) | −1793.09 | − | 1152.35i | −0.0755321 | − | 0.0485415i | ||||
\(827\) | −20971.1 | −0.881783 | −0.440892 | − | 0.897560i | \(-0.645338\pi\) | ||||
−0.440892 | + | 0.897560i | \(0.645338\pi\) | |||||||
\(828\) | −2643.93 | − | 1176.19i | −0.110970 | − | 0.0493664i | ||||
\(829\) | −21672.6 | −0.907987 | −0.453993 | − | 0.891005i | \(-0.650001\pi\) | ||||
−0.453993 | + | 0.891005i | \(0.650001\pi\) | |||||||
\(830\) | −4830.69 | − | 3104.50i | −0.202019 | − | 0.129830i | ||||
\(831\) | −566.957 | − | 3943.27i | −0.0236673 | − | 0.164610i | ||||
\(832\) | 12215.3 | + | 26747.7i | 0.509001 | + | 1.11456i | ||||
\(833\) | 30216.9 | + | 8872.47i | 1.25685 | + | 0.369043i | ||||
\(834\) | 477.228 | − | 1044.98i | 0.0198142 | − | 0.0433870i | ||||
\(835\) | 2040.55 | − | 2354.92i | 0.0845703 | − | 0.0975994i | ||||
\(836\) | −282.784 | + | 1966.80i | −0.0116989 | + | 0.0813676i | ||||
\(837\) | 29994.2 | − | 8807.08i | 1.23865 | − | 0.363700i | ||||
\(838\) | 4584.66 | + | 5290.98i | 0.188991 | + | 0.218107i | ||||
\(839\) | 8628.02 | − | 5544.89i | 0.355033 | − | 0.228166i | −0.350951 | − | 0.936394i | \(-0.614142\pi\) |
0.705984 | + | 0.708228i | \(0.250505\pi\) | |||||||
\(840\) | −4094.72 | + | 2631.52i | −0.168192 | + | 0.108091i | ||||
\(841\) | 12081.6 | + | 13942.9i | 0.495370 | + | 0.571687i | ||||
\(842\) | 6225.57 | − | 1827.99i | 0.254807 | − | 0.0748181i | ||||
\(843\) | 3896.81 | − | 27102.9i | 0.159209 | − | 1.10732i | ||||
\(844\) | 9644.37 | − | 11130.2i | 0.393333 | − | 0.453930i | ||||
\(845\) | −16413.9 | + | 35941.4i | −0.668231 | + | 1.46322i | ||||
\(846\) | 660.468 | + | 193.931i | 0.0268408 | + | 0.00788118i | ||||
\(847\) | −3858.33 | − | 8448.56i | −0.156522 | − | 0.342734i | ||||
\(848\) | 2281.52 | + | 15868.3i | 0.0923911 | + | 0.642594i | ||||
\(849\) | −5879.04 | − | 3778.23i | −0.237654 | − | 0.152731i | ||||
\(850\) | −3047.69 | −0.122982 | ||||||||
\(851\) | 21642.4 | − | 19128.8i | 0.871790 | − | 0.770537i | ||||
\(852\) | −7181.05 | −0.288754 | ||||||||
\(853\) | −26722.7 | − | 17173.6i | −1.07265 | − | 0.689348i | −0.119799 | − | 0.992798i | \(-0.538225\pi\) |
−0.952847 | + | 0.303451i | \(0.901861\pi\) | |||||||
\(854\) | 387.500 | + | 2695.12i | 0.0155269 | + | 0.107992i | ||||
\(855\) | −363.138 | − | 795.160i | −0.0145252 | − | 0.0318057i | ||||
\(856\) | 1703.40 | + | 500.164i | 0.0680153 | + | 0.0199711i | ||||
\(857\) | −3697.07 | + | 8095.45i | −0.147362 | + | 0.322678i | −0.968891 | − | 0.247489i | \(-0.920395\pi\) |
0.821528 | + | 0.570168i | \(0.193122\pi\) | |||||||
\(858\) | 1812.55 | − | 2091.80i | 0.0721207 | − | 0.0832317i | ||||
\(859\) | 4599.35 | − | 31989.2i | 0.182686 | − | 1.27061i | −0.667691 | − | 0.744439i | \(-0.732717\pi\) |
0.850377 | − | 0.526173i | \(-0.176374\pi\) | |||||||
\(860\) | −34717.0 | + | 10193.8i | −1.37656 | + | 0.404194i | ||||
\(861\) | −3348.57 | − | 3864.45i | −0.132542 | − | 0.152962i | ||||
\(862\) | −1224.55 | + | 786.973i | −0.0483857 | + | 0.0310956i | ||||
\(863\) | −30674.1 | + | 19713.1i | −1.20992 | + | 0.777567i | −0.980645 | − | 0.195795i | \(-0.937271\pi\) |
−0.229273 | + | 0.973362i | \(0.573635\pi\) | |||||||
\(864\) | −8212.30 | − | 9477.50i | −0.323366 | − | 0.373184i | ||||
\(865\) | 29183.4 | − | 8569.02i | 1.14713 | − | 0.336827i | ||||
\(866\) | 248.182 | − | 1726.14i | 0.00973852 | − | 0.0677329i | ||||
\(867\) | −28487.1 | + | 32875.9i | −1.11589 | + | 1.28780i | ||||
\(868\) | −6198.31 | + | 13572.4i | −0.242378 | + | 0.530735i | ||||
\(869\) | 10530.1 | + | 3091.91i | 0.411056 | + | 0.120697i | ||||
\(870\) | −1232.40 | − | 2698.57i | −0.0480254 | − | 0.105161i | ||||
\(871\) | 4834.13 | + | 33622.1i | 0.188058 | + | 1.30797i | ||||
\(872\) | 10055.8 | + | 6462.49i | 0.390520 | + | 0.250972i | ||||
\(873\) | 72.4856 | 0.00281016 | ||||||||
\(874\) | 327.461 | + | 1076.01i | 0.0126734 | + | 0.0416435i | ||||
\(875\) | 7877.39 | 0.304348 | ||||||||
\(876\) | 23898.2 | + | 15358.4i | 0.921740 | + | 0.592366i | ||||
\(877\) | 4841.01 | + | 33670.0i | 0.186396 | + | 1.29641i | 0.841245 | + | 0.540654i | \(0.181823\pi\) |
−0.654849 | + | 0.755760i | \(0.727268\pi\) | |||||||
\(878\) | −1530.21 | − | 3350.69i | −0.0588178 | − | 0.128793i | ||||
\(879\) | −10811.9 | − | 3174.66i | −0.414877 | − | 0.121819i | ||||
\(880\) | 4203.22 | − | 9203.76i | 0.161012 | − | 0.352567i | ||||
\(881\) | 10055.6 | − | 11604.8i | 0.384544 | − | 0.443787i | −0.530169 | − | 0.847892i | \(-0.677871\pi\) |
0.914713 | + | 0.404105i | \(0.132417\pi\) | |||||||
\(882\) | −70.7634 | + | 492.170i | −0.00270150 | + | 0.0187894i | ||||
\(883\) | −8783.03 | + | 2578.93i | −0.334737 | + | 0.0982876i | −0.444782 | − | 0.895639i | \(-0.646719\pi\) |
0.110045 | + | 0.993927i | \(0.464901\pi\) | |||||||
\(884\) | −41163.2 | − | 47504.8i | −1.56614 | − | 1.80742i | ||||
\(885\) | −31024.9 | + | 19938.5i | −1.17841 | + | 0.757316i | ||||
\(886\) | −1963.29 | + | 1261.73i | −0.0744447 | + | 0.0478427i | ||||
\(887\) | −15467.2 | − | 17850.1i | −0.585500 | − | 0.675703i | 0.383278 | − | 0.923633i | \(-0.374795\pi\) |
−0.968778 | + | 0.247930i | \(0.920250\pi\) | |||||||
\(888\) | −11455.6 | + | 3363.68i | −0.432912 | + | 0.127114i | ||||
\(889\) | −593.480 | + | 4127.75i | −0.0223900 | + | 0.155726i | ||||
\(890\) | −2573.48 | + | 2969.95i | −0.0969249 | + | 0.111857i | ||||
\(891\) | 4460.79 | − | 9767.76i | 0.167724 | − | 0.367264i | ||||
\(892\) | 20511.2 | + | 6022.63i | 0.769917 | + | 0.226068i | ||||
\(893\) | 3103.08 | + | 6794.79i | 0.116283 | + | 0.254624i | ||||
\(894\) | 1062.12 | + | 7387.21i | 0.0397345 | + | 0.276359i | ||||
\(895\) | 23575.5 | + | 15151.1i | 0.880494 | + | 0.565859i | ||||
\(896\) | 7929.27 | 0.295645 | ||||||||
\(897\) | −11910.6 | + | 42089.3i | −0.443348 | + | 1.56669i | ||||
\(898\) | 2014.70 | 0.0748681 | ||||||||
\(899\) | −15575.0 | − | 10009.4i | −0.577813 | − | 0.371338i | ||||
\(900\) | 191.198 | + | 1329.81i | 0.00708143 | + | 0.0492524i | ||||
\(901\) | −13119.6 | − | 28727.8i | −0.485101 | − | 1.06222i | ||||
\(902\) | −772.321 | − | 226.774i | −0.0285094 | − | 0.00837111i | ||||
\(903\) | 6500.51 | − | 14234.1i | 0.239561 | − | 0.524565i | ||||
\(904\) | −2932.92 | + | 3384.77i | −0.107907 | + | 0.124531i | ||||
\(905\) | −1528.74 | + | 10632.6i | −0.0561513 | + | 0.390541i | ||||
\(906\) | −6765.45 | + | 1986.52i | −0.248087 | + | 0.0728450i | ||||
\(907\) | 13032.7 | + | 15040.5i | 0.477115 | + | 0.550620i | 0.942377 | − | 0.334553i | \(-0.108585\pi\) |
−0.465262 | + | 0.885173i | \(0.654040\pi\) | |||||||
\(908\) | 30178.4 | − | 19394.5i | 1.10298 | − | 0.708843i | ||||
\(909\) | 4366.37 | − | 2806.10i | 0.159322 | − | 0.102390i | ||||
\(910\) | 2644.73 | + | 3052.18i | 0.0963429 | + | 0.111186i | ||||
\(911\) | 14904.9 | − | 4376.48i | 0.542066 | − | 0.159165i | 0.000774332 | − | 1.00000i | \(-0.499754\pi\) |
0.541292 | + | 0.840835i | \(0.317935\pi\) | |||||||
\(912\) | −873.713 | + | 6076.81i | −0.0317232 | + | 0.220640i | ||||
\(913\) | −7147.52 | + | 8248.68i | −0.259089 | + | 0.299005i | ||||
\(914\) | −3277.56 | + | 7176.85i | −0.118613 | + | 0.259725i | ||||
\(915\) | 45203.4 | + | 13272.9i | 1.63320 | + | 0.479551i | ||||
\(916\) | 6380.50 | + | 13971.3i | 0.230150 | + | 0.503959i | ||||
\(917\) | 978.100 | + | 6802.83i | 0.0352232 | + | 0.244983i | ||||
\(918\) | 6515.05 | + | 4186.97i | 0.234236 | + | 0.150534i | ||||
\(919\) | −5021.93 | −0.180259 | −0.0901296 | − | 0.995930i | \(-0.528728\pi\) | ||||
−0.0901296 | + | 0.995930i | \(0.528728\pi\) | |||||||
\(920\) | −118.971 | − | 12108.2i | −0.00426345 | − | 0.433909i | ||||
\(921\) | −18949.1 | −0.677953 | ||||||||
\(922\) | −1215.60 | − | 781.219i | −0.0434205 | − | 0.0279046i | ||||
\(923\) | 1726.28 | + | 12006.6i | 0.0615615 | + | 0.428169i | ||||
\(924\) | 1887.84 | + | 4133.79i | 0.0672136 | + | 0.147177i | ||||
\(925\) | −12867.0 | − | 3778.10i | −0.457367 | − | 0.134295i | ||||
\(926\) | 1053.96 | − | 2307.85i | 0.0374030 | − | 0.0819012i | ||||
\(927\) | 2365.55 | − | 2729.99i | 0.0838131 | − | 0.0967255i | ||||
\(928\) | −1056.99 | + | 7351.54i | −0.0373895 | + | 0.260050i | ||||
\(929\) | −31688.1 | + | 9304.46i | −1.11911 | + | 0.328600i | −0.788418 | − | 0.615139i | \(-0.789100\pi\) |
−0.330690 | + | 0.943739i | \(0.607282\pi\) | |||||||
\(930\) | −6055.30 | − | 6988.18i | −0.213506 | − | 0.246400i | ||||
\(931\) | −4539.27 | + | 2917.21i | −0.159794 | + | 0.102694i | ||||
\(932\) | 2641.92 | − | 1697.86i | 0.0928531 | − | 0.0596731i | ||||
\(933\) | −3193.44 | − | 3685.42i | −0.112056 | − | 0.129320i | ||||
\(934\) | −6844.97 | + | 2009.86i | −0.239801 | + | 0.0704120i | ||||
\(935\) | −2836.70 | + | 19729.7i | −0.0992191 | + | 0.690084i | ||||
\(936\) | 1323.12 | − | 1526.96i | 0.0462045 | − | 0.0533228i | ||||
\(937\) | 8003.25 | − | 17524.7i | 0.279034 | − | 0.610999i | −0.717279 | − | 0.696786i | \(-0.754613\pi\) |
0.996314 | + | 0.0857862i | \(0.0273402\pi\) | |||||||
\(938\) | 1916.63 | + | 562.772i | 0.0667165 | + | 0.0195897i | ||||
\(939\) | 5422.17 | + | 11872.9i | 0.188441 | + | 0.412627i | ||||
\(940\) | −5621.79 | − | 39100.4i | −0.195067 | − | 1.35672i | ||||
\(941\) | −43184.4 | − | 27752.9i | −1.49604 | − | 0.961445i | −0.995402 | − | 0.0957878i | \(-0.969463\pi\) |
−0.500637 | − | 0.865658i | \(-0.666901\pi\) | |||||||
\(942\) | 9332.82 | 0.322802 | ||||||||
\(943\) | 12572.9 | − | 1933.98i | 0.434178 | − | 0.0667858i | ||||
\(944\) | 28943.3 | 0.997908 | ||||||||
\(945\) | 11687.0 | + | 7510.80i | 0.402306 | + | 0.258546i | ||||
\(946\) | −350.559 | − | 2438.19i | −0.0120483 | − | 0.0837975i | ||||
\(947\) | −16533.4 | − | 36203.0i | −0.567331 | − | 1.24228i | −0.948206 | − | 0.317655i | \(-0.897105\pi\) |
0.380876 | − | 0.924626i | \(-0.375623\pi\) | |||||||
\(948\) | 33788.1 | + | 9921.10i | 1.15758 | + | 0.339897i | ||||
\(949\) | 19934.0 | − | 43649.3i | 0.681858 | − | 1.49306i | ||||
\(950\) | 341.956 | − | 394.638i | 0.0116784 | − | 0.0134776i | ||||
\(951\) | 163.208 | − | 1135.14i | 0.00556508 | − | 0.0387060i | ||||
\(952\) | −7220.51 | + | 2120.13i | −0.245817 | + | 0.0721785i | ||||
\(953\) | 9932.68 | + | 11462.9i | 0.337619 | + | 0.389633i | 0.899018 | − | 0.437912i | \(-0.144282\pi\) |
−0.561399 | + | 0.827546i | \(0.689737\pi\) | |||||||
\(954\) | 419.483 | − | 269.585i | 0.0142361 | − | 0.00914901i | ||||
\(955\) | 554.780 | − | 356.536i | 0.0187982 | − | 0.0120809i | ||||
\(956\) | 17987.2 | + | 20758.4i | 0.608523 | + | 0.702273i | ||||
\(957\) | −5410.45 | + | 1588.65i | −0.182753 | + | 0.0536613i | ||||
\(958\) | 1238.22 | − | 8612.02i | 0.0417590 | − | 0.290440i | ||||
\(959\) | −406.047 | + | 468.604i | −0.0136725 | + | 0.0157789i | ||||
\(960\) | 12429.1 | − | 27215.9i | 0.417862 | − | 0.914990i | ||||
\(961\) | −26783.9 | − | 7864.47i | −0.899061 | − | 0.263988i | ||||
\(962\) | 4115.23 | + | 9011.10i | 0.137921 | + | 0.302006i | ||||
\(963\) | 103.776 | + | 721.776i | 0.00347261 | + | 0.0241525i | ||||
\(964\) | 32.5757 | + | 20.9352i | 0.00108838 | + | 0.000699457i | ||||
\(965\) | −2272.05 | −0.0757928 | ||||||||
\(966\) | 1960.50 | + | 1665.34i | 0.0652981 | + | 0.0554672i | ||||
\(967\) | −14243.5 | −0.473673 | −0.236836 | − | 0.971550i | \(-0.576110\pi\) | ||||
−0.236836 | + | 0.971550i | \(0.576110\pi\) | |||||||
\(968\) | −8034.55 | − | 5163.49i | −0.266777 | − | 0.171447i | ||||
\(969\) | −1721.20 | − | 11971.2i | −0.0570619 | − | 0.396874i | ||||
\(970\) | 61.8921 | + | 135.525i | 0.00204870 | + | 0.00448602i | ||||
\(971\) | −51147.6 | − | 15018.3i | −1.69043 | − | 0.496354i | −0.711867 | − | 0.702314i | \(-0.752150\pi\) |
−0.978560 | + | 0.205960i | \(0.933968\pi\) | |||||||
\(972\) | 3040.49 | − | 6657.75i | 0.100333 | − | 0.219699i | ||||
\(973\) | 2086.44 | − | 2407.89i | 0.0687444 | − | 0.0793353i | ||||
\(974\) | 1439.42 | − | 10011.4i | 0.0473533 | − | 0.329349i | ||||
\(975\) | 19485.6 | − | 5721.49i | 0.640040 | − | 0.187933i | ||||
\(976\) | −24212.7 | − | 27943.0i | −0.794088 | − | 0.916427i | ||||
\(977\) | −2009.21 | + | 1291.24i | −0.0657936 | + | 0.0422830i | −0.573124 | − | 0.819469i | \(-0.694269\pi\) |
0.507330 | + | 0.861752i | \(0.330632\pi\) | |||||||
\(978\) | −1374.06 | + | 883.057i | −0.0449261 | + | 0.0288722i | ||||
\(979\) | 4891.52 | + | 5645.12i | 0.159687 | + | 0.184289i | ||||
\(980\) | 27378.8 | − | 8039.15i | 0.892433 | − | 0.262042i | ||||
\(981\) | −698.733 | + | 4859.80i | −0.0227409 | + | 0.158166i | ||||
\(982\) | 5363.65 | − | 6189.99i | 0.174298 | − | 0.201151i | ||||
\(983\) | 4208.98 | − | 9216.38i | 0.136567 | − | 0.299041i | −0.828976 | − | 0.559285i | \(-0.811076\pi\) |
0.965543 | + | 0.260244i | \(0.0838031\pi\) | |||||||
\(984\) | −5045.10 | − | 1481.37i | −0.163447 | − | 0.0479924i | ||||
\(985\) | −15635.0 | − | 34235.8i | −0.505758 | − | 1.10746i | ||||
\(986\) | −652.749 | − | 4539.97i | −0.0210829 | − | 0.146635i | ||||
\(987\) | 14372.0 | + | 9236.30i | 0.463490 | + | 0.297867i | ||||
\(988\) | 10769.9 | 0.346797 | ||||||||
\(989\) | 21367.1 | + | 32540.4i | 0.686992 | + | 1.04623i | ||||
\(990\) | −314.712 | −0.0101032 | ||||||||
\(991\) | 46499.0 | + | 29883.1i | 1.49050 | + | 0.957889i | 0.996060 | + | 0.0886801i | \(0.0282649\pi\) |
0.494445 | + | 0.869209i | \(0.335371\pi\) | |||||||
\(992\) | 3294.50 | + | 22913.8i | 0.105444 | + | 0.733380i | ||||
\(993\) | −19687.2 | − | 43108.9i | −0.629158 | − | 1.37766i | ||||
\(994\) | 684.433 | + | 200.968i | 0.0218399 | + | 0.00641278i | ||||
\(995\) | −5288.23 | + | 11579.6i | −0.168490 | + | 0.368943i | ||||
\(996\) | −22934.5 | + | 26467.8i | −0.729625 | + | 0.842032i | ||||
\(997\) | −1590.62 | + | 11063.0i | −0.0505271 | + | 0.351424i | 0.948837 | + | 0.315766i | \(0.102262\pi\) |
−0.999364 | + | 0.0356574i | \(0.988648\pi\) | |||||||
\(998\) | −2268.38 | + | 666.056i | −0.0719481 | + | 0.0211259i | ||||
\(999\) | 22315.4 | + | 25753.4i | 0.706736 | + | 0.815617i |
(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 | 23.4.c.a.2.3 | ✓ | 50 | |
3.2 | odd | 2 | 207.4.i.a.163.3 | 50 | |||
23.9 | even | 11 | 529.4.a.n.1.12 | 25 | |||
23.12 | even | 11 | inner | 23.4.c.a.12.3 | yes | 50 | |
23.14 | odd | 22 | 529.4.a.m.1.12 | 25 | |||
69.35 | odd | 22 | 207.4.i.a.127.3 | 50 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
23.4.c.a.2.3 | ✓ | 50 | 1.1 | even | 1 | trivial | |
23.4.c.a.12.3 | yes | 50 | 23.12 | even | 11 | inner | |
207.4.i.a.127.3 | 50 | 69.35 | odd | 22 | |||
207.4.i.a.163.3 | 50 | 3.2 | odd | 2 | |||
529.4.a.m.1.12 | 25 | 23.14 | odd | 22 | |||
529.4.a.n.1.12 | 25 | 23.9 | even | 11 |