Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [819,2,Mod(86,819)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(819, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([10, 4, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("819.86");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 819 = 3^{2} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 819.ev (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.53974792554\) |
Analytic rank: | \(0\) |
Dimension: | \(432\) |
Relative dimension: | \(108\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 515.104 | ||
Character | \(\chi\) | \(=\) | 819.515 |
Dual form | 819.2.ev.a.590.104 |
$q$-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 \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(379\) | \(703\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.84767 | − | 1.84767i | 1.30650 | − | 1.30650i | 0.382570 | − | 0.923926i | \(-0.375039\pi\) |
0.923926 | − | 0.382570i | \(-0.124961\pi\) | |||||||
\(3\) | 0.853624 | − | 1.50709i | 0.492840 | − | 0.870120i | ||||
\(4\) | − | 4.82773i | − | 2.41387i | ||||||
\(5\) | −0.223439 | − | 0.833887i | −0.0999251 | − | 0.372926i | 0.897795 | − | 0.440414i | \(-0.145168\pi\) |
−0.997720 | + | 0.0674881i | \(0.978502\pi\) | |||||||
\(6\) | −1.20739 | − | 4.36181i | −0.492915 | − | 1.78070i | ||||
\(7\) | −1.27743 | + | 2.31693i | −0.482825 | + | 0.875717i | ||||
\(8\) | −5.22471 | − | 5.22471i | −1.84721 | − | 1.84721i | ||||
\(9\) | −1.54265 | − | 2.57298i | −0.514217 | − | 0.857660i | ||||
\(10\) | −1.95358 | − | 1.12790i | −0.617778 | − | 0.356674i | ||||
\(11\) | −0.0965769 | + | 0.360430i | −0.0291190 | + | 0.108674i | −0.978956 | − | 0.204072i | \(-0.934582\pi\) |
0.949837 | + | 0.312746i | \(0.101249\pi\) | |||||||
\(12\) | −7.27584 | − | 4.12107i | −2.10035 | − | 1.18965i | ||||
\(13\) | 3.57275 | + | 0.485246i | 0.990902 | + | 0.134583i | ||||
\(14\) | 1.92064 | + | 6.64118i | 0.513313 | + | 1.77493i | ||||
\(15\) | −1.44748 | − | 0.375082i | −0.373737 | − | 0.0968458i | ||||
\(16\) | −9.65155 | −2.41289 | ||||||||
\(17\) | 0.674430 | − | 1.16815i | 0.163573 | − | 0.283317i | −0.772574 | − | 0.634924i | \(-0.781031\pi\) |
0.936148 | + | 0.351607i | \(0.114365\pi\) | |||||||
\(18\) | −7.60431 | − | 1.90370i | −1.79235 | − | 0.448707i | ||||
\(19\) | 0.597425 | − | 2.22962i | 0.137059 | − | 0.511510i | −0.862922 | − | 0.505337i | \(-0.831368\pi\) |
0.999981 | − | 0.00617322i | \(-0.00196501\pi\) | |||||||
\(20\) | −4.02578 | + | 1.07871i | −0.900193 | + | 0.241206i | ||||
\(21\) | 2.40138 | + | 3.90300i | 0.524023 | + | 0.851704i | ||||
\(22\) | 0.487512 | + | 0.844395i | 0.103938 | + | 0.180026i | ||||
\(23\) | −3.50044 | + | 6.06294i | −0.729892 | + | 1.26421i | 0.227036 | + | 0.973886i | \(0.427097\pi\) |
−0.956928 | + | 0.290324i | \(0.906237\pi\) | |||||||
\(24\) | −12.3340 | + | 3.41418i | −2.51768 | + | 0.696916i | ||||
\(25\) | 3.68468 | − | 2.12735i | 0.736937 | − | 0.425471i | ||||
\(26\) | 7.49782 | − | 5.70467i | 1.47044 | − | 1.11878i | ||||
\(27\) | −5.19456 | + | 0.128560i | −0.999694 | + | 0.0247414i | ||||
\(28\) | 11.1855 | + | 6.16711i | 2.11386 | + | 1.16547i | ||||
\(29\) | 5.36646 | + | 3.09832i | 0.996526 | + | 0.575344i | 0.907219 | − | 0.420660i | \(-0.138201\pi\) |
0.0893074 | + | 0.996004i | \(0.471535\pi\) | |||||||
\(30\) | −3.36748 | + | 1.98143i | −0.614815 | + | 0.361757i | ||||
\(31\) | −4.05193 | − | 4.05193i | −0.727747 | − | 0.727747i | 0.242423 | − | 0.970171i | \(-0.422058\pi\) |
−0.970171 | + | 0.242423i | \(0.922058\pi\) | |||||||
\(32\) | −7.38342 | + | 7.38342i | −1.30522 | + | 1.30522i | ||||
\(33\) | 0.460760 | + | 0.453222i | 0.0802081 | + | 0.0788958i | ||||
\(34\) | −0.912223 | − | 3.40446i | −0.156445 | − | 0.583861i | ||||
\(35\) | 2.21749 | + | 0.547542i | 0.374824 | + | 0.0925515i | ||||
\(36\) | −12.4217 | + | 7.44751i | −2.07028 | + | 1.24125i | ||||
\(37\) | 8.02454 | + | 2.15017i | 1.31923 | + | 0.353486i | 0.848688 | − | 0.528894i | \(-0.177393\pi\) |
0.470539 | + | 0.882379i | \(0.344060\pi\) | |||||||
\(38\) | −3.01575 | − | 5.22343i | −0.489219 | − | 0.847353i | ||||
\(39\) | 3.78110 | − | 4.97024i | 0.605460 | − | 0.795876i | ||||
\(40\) | −3.18941 | + | 5.52422i | −0.504290 | + | 0.873456i | ||||
\(41\) | −2.23523 | − | 0.598927i | −0.349084 | − | 0.0935367i | 0.0800166 | − | 0.996794i | \(-0.474503\pi\) |
−0.429100 | + | 0.903257i | \(0.641169\pi\) | |||||||
\(42\) | 11.6484 | + | 2.77449i | 1.79738 | + | 0.428113i | ||||
\(43\) | −6.36292 | − | 3.67363i | −0.970336 | − | 0.560223i | −0.0709970 | − | 0.997477i | \(-0.522618\pi\) |
−0.899339 | + | 0.437253i | \(0.855951\pi\) | |||||||
\(44\) | 1.74006 | + | 0.466247i | 0.262324 | + | 0.0702894i | ||||
\(45\) | −1.80089 | + | 1.86130i | −0.268460 | + | 0.277466i | ||||
\(46\) | 4.73464 | + | 17.6699i | 0.698085 | + | 2.60529i | ||||
\(47\) | −0.509649 | − | 0.509649i | −0.0743399 | − | 0.0743399i | 0.668959 | − | 0.743299i | \(-0.266740\pi\) |
−0.743299 | + | 0.668959i | \(0.766740\pi\) | |||||||
\(48\) | −8.23880 | + | 14.5458i | −1.18917 | + | 2.09950i | ||||
\(49\) | −3.73632 | − | 5.91945i | −0.533761 | − | 0.845636i | ||||
\(50\) | 2.87743 | − | 10.7387i | 0.406930 | − | 1.51868i | ||||
\(51\) | −1.18479 | − | 2.01359i | −0.165904 | − | 0.281958i | ||||
\(52\) | 2.34264 | − | 17.2483i | 0.324866 | − | 2.39191i | ||||
\(53\) | 8.86913 | + | 5.12060i | 1.21827 | + | 0.703368i | 0.964547 | − | 0.263909i | \(-0.0850120\pi\) |
0.253722 | + | 0.967277i | \(0.418345\pi\) | |||||||
\(54\) | −9.36028 | + | 9.83535i | −1.27377 | + | 1.33842i | ||||
\(55\) | 0.322137 | 0.0434369 | ||||||||
\(56\) | 18.7795 | − | 5.43106i | 2.50952 | − | 0.725756i | ||||
\(57\) | −2.85027 | − | 2.80363i | −0.377527 | − | 0.371350i | ||||
\(58\) | 15.6401 | − | 4.19075i | 2.05364 | − | 0.550272i | ||||
\(59\) | 7.09004 | + | 7.09004i | 0.923045 | + | 0.923045i | 0.997244 | − | 0.0741983i | \(-0.0236398\pi\) |
−0.0741983 | + | 0.997244i | \(0.523640\pi\) | |||||||
\(60\) | −1.81080 | + | 6.98804i | −0.233773 | + | 0.902152i | ||||
\(61\) | 0.717993 | 0.0919296 | 0.0459648 | − | 0.998943i | \(-0.485364\pi\) | ||||
0.0459648 | + | 0.998943i | \(0.485364\pi\) | |||||||
\(62\) | −14.9732 | −1.90160 | ||||||||
\(63\) | 7.93205 | − | 0.287403i | 0.999344 | − | 0.0362094i | ||||
\(64\) | 7.98108i | 0.997635i | ||||||||
\(65\) | −0.393652 | − | 3.08769i | −0.0488266 | − | 0.382981i | ||||
\(66\) | 1.68873 | − | 0.0139289i | 0.207869 | − | 0.00171453i | ||||
\(67\) | 6.50123 | + | 6.50123i | 0.794252 | + | 0.794252i | 0.982182 | − | 0.187930i | \(-0.0601780\pi\) |
−0.187930 | + | 0.982182i | \(0.560178\pi\) | |||||||
\(68\) | −5.63950 | − | 3.25597i | −0.683890 | − | 0.394844i | ||||
\(69\) | 6.14935 | + | 10.4510i | 0.740295 | + | 1.25815i | ||||
\(70\) | 5.10885 | − | 3.08550i | 0.610624 | − | 0.368787i | ||||
\(71\) | 8.47218 | − | 8.47218i | 1.00546 | − | 1.00546i | 0.00547776 | − | 0.999985i | \(-0.498256\pi\) |
0.999985 | − | 0.00547776i | \(-0.00174363\pi\) | |||||||
\(72\) | −5.38316 | + | 21.5030i | −0.634412 | + | 2.53415i | ||||
\(73\) | −2.23563 | − | 8.34347i | −0.261660 | − | 0.976529i | −0.964263 | − | 0.264947i | \(-0.914646\pi\) |
0.702603 | − | 0.711582i | \(-0.252021\pi\) | |||||||
\(74\) | 18.7995 | − | 10.8539i | 2.18539 | − | 1.26174i | ||||
\(75\) | −0.0607817 | − | 7.36912i | −0.00701847 | − | 0.850913i | ||||
\(76\) | −10.7640 | − | 2.88421i | −1.23472 | − | 0.330841i | ||||
\(77\) | −0.711720 | − | 0.684187i | −0.0811080 | − | 0.0779703i | ||||
\(78\) | −2.19715 | − | 16.1695i | −0.248778 | − | 1.83084i | ||||
\(79\) | −9.28477 | −1.04462 | −0.522309 | − | 0.852756i | \(-0.674929\pi\) | ||||
−0.522309 | + | 0.852756i | \(0.674929\pi\) | |||||||
\(80\) | 2.15654 | + | 8.04830i | 0.241108 | + | 0.899827i | ||||
\(81\) | −4.24045 | + | 7.93842i | −0.471161 | + | 0.882047i | ||||
\(82\) | −5.23657 | + | 3.02333i | −0.578282 | + | 0.333871i | ||||
\(83\) | 0.796885 | + | 2.97402i | 0.0874695 | + | 0.326441i | 0.995770 | − | 0.0918768i | \(-0.0292866\pi\) |
−0.908301 | + | 0.418318i | \(0.862620\pi\) | |||||||
\(84\) | 18.8426 | − | 11.5932i | 2.05590 | − | 1.26492i | ||||
\(85\) | −1.12480 | − | 0.301388i | −0.122001 | − | 0.0326901i | ||||
\(86\) | −18.5442 | + | 4.96890i | −1.99967 | + | 0.535810i | ||||
\(87\) | 9.25040 | − | 5.44294i | 0.991747 | − | 0.583544i | ||||
\(88\) | 2.38773 | − | 1.37855i | 0.254532 | − | 0.146954i | ||||
\(89\) | −2.79903 | + | 10.4461i | −0.296697 | + | 1.10729i | 0.643164 | + | 0.765729i | \(0.277621\pi\) |
−0.939861 | + | 0.341558i | \(0.889045\pi\) | |||||||
\(90\) | 0.111630 | + | 6.76650i | 0.0117668 | + | 0.713251i | ||||
\(91\) | −5.68823 | + | 7.65794i | −0.596289 | + | 0.802770i | ||||
\(92\) | 29.2703 | + | 16.8992i | 3.05164 | + | 1.76186i | ||||
\(93\) | −9.56545 | + | 2.64780i | −0.991891 | + | 0.274564i | ||||
\(94\) | −1.88332 | −0.194250 | ||||||||
\(95\) | −1.99274 | −0.204451 | ||||||||
\(96\) | 4.82483 | + | 17.4302i | 0.492432 | + | 1.77896i | ||||
\(97\) | −10.7033 | + | 2.86794i | −1.08675 | + | 0.291195i | −0.757360 | − | 0.652997i | \(-0.773511\pi\) |
−0.329394 | + | 0.944192i | \(0.606845\pi\) | |||||||
\(98\) | −17.8406 | − | 4.03368i | −1.80218 | − | 0.407464i | ||||
\(99\) | 1.07636 | − | 0.307527i | 0.108179 | − | 0.0309076i | ||||
\(100\) | −10.2703 | − | 17.7887i | −1.02703 | − | 1.77887i | ||||
\(101\) | −1.80971 | − | 3.13451i | −0.180073 | − | 0.311896i | 0.761832 | − | 0.647774i | \(-0.224300\pi\) |
−0.941905 | + | 0.335879i | \(0.890967\pi\) | |||||||
\(102\) | −5.90954 | − | 1.53133i | −0.585131 | − | 0.151624i | ||||
\(103\) | −3.88720 | − | 2.24427i | −0.383017 | − | 0.221135i | 0.296113 | − | 0.955153i | \(-0.404309\pi\) |
−0.679130 | + | 0.734018i | \(0.737643\pi\) | |||||||
\(104\) | −16.1313 | − | 21.2018i | −1.58180 | − | 2.07901i | ||||
\(105\) | 2.71810 | − | 2.87456i | 0.265259 | − | 0.280528i | ||||
\(106\) | 25.8483 | − | 6.92604i | 2.51061 | − | 0.672717i | ||||
\(107\) | −7.48104 | + | 4.31918i | −0.723219 | + | 0.417551i | −0.815936 | − | 0.578142i | \(-0.803778\pi\) |
0.0927173 | + | 0.995692i | \(0.470445\pi\) | |||||||
\(108\) | 0.620654 | + | 25.0780i | 0.0597225 | + | 2.41313i | ||||
\(109\) | 12.1267 | − | 3.24934i | 1.16153 | − | 0.311230i | 0.373952 | − | 0.927448i | \(-0.378003\pi\) |
0.787576 | + | 0.616218i | \(0.211336\pi\) | |||||||
\(110\) | 0.595201 | − | 0.595201i | 0.0567502 | − | 0.0567502i | ||||
\(111\) | 10.0904 | − | 10.2583i | 0.957743 | − | 0.973673i | ||||
\(112\) | 12.3292 | − | 22.3620i | 1.16500 | − | 2.11301i | ||||
\(113\) | −15.3224 | + | 8.84636i | −1.44141 | + | 0.832196i | −0.997944 | − | 0.0640972i | \(-0.979583\pi\) |
−0.443462 | + | 0.896293i | \(0.646250\pi\) | |||||||
\(114\) | −10.4465 | + | 0.0861645i | −0.978405 | + | 0.00807005i | ||||
\(115\) | 5.83794 | + | 1.56427i | 0.544391 | + | 0.145869i | ||||
\(116\) | 14.9579 | − | 25.9078i | 1.38881 | − | 2.40548i | ||||
\(117\) | −4.26298 | − | 9.94118i | −0.394113 | − | 0.919062i | ||||
\(118\) | 26.2001 | 2.41191 | ||||||||
\(119\) | 1.84497 | + | 3.05484i | 0.169128 | + | 0.280036i | ||||
\(120\) | 5.60295 | + | 9.52234i | 0.511477 | + | 0.869267i | ||||
\(121\) | 9.40570 | + | 5.43038i | 0.855063 | + | 0.493671i | ||||
\(122\) | 1.32661 | − | 1.32661i | 0.120106 | − | 0.120106i | ||||
\(123\) | −2.81068 | + | 2.85743i | −0.253431 | + | 0.257646i | ||||
\(124\) | −19.5616 | + | 19.5616i | −1.75669 | + | 1.75669i | ||||
\(125\) | −5.64951 | − | 5.64951i | −0.505308 | − | 0.505308i | ||||
\(126\) | 14.1247 | − | 15.1868i | 1.25833 | − | 1.35295i | ||||
\(127\) | − | 4.12998i | − | 0.366476i | −0.983069 | − | 0.183238i | \(-0.941342\pi\) | ||
0.983069 | − | 0.183238i | \(-0.0586580\pi\) | |||||||
\(128\) | −0.0204719 | − | 0.0204719i | −0.00180948 | − | 0.00180948i | ||||
\(129\) | −10.9680 | + | 6.45360i | −0.965682 | + | 0.568208i | ||||
\(130\) | −6.43236 | − | 4.97768i | −0.564155 | − | 0.436572i | ||||
\(131\) | −9.27395 | − | 5.35431i | −0.810268 | − | 0.467809i | 0.0367807 | − | 0.999323i | \(-0.488290\pi\) |
−0.847049 | + | 0.531515i | \(0.821623\pi\) | |||||||
\(132\) | 2.18803 | − | 2.22443i | 0.190444 | − | 0.193612i | ||||
\(133\) | 4.40270 | + | 4.23238i | 0.381763 | + | 0.366994i | ||||
\(134\) | 24.0242 | 2.07537 | ||||||||
\(135\) | 1.26787 | + | 4.30295i | 0.109121 | + | 0.370339i | ||||
\(136\) | −9.62692 | + | 2.57953i | −0.825502 | + | 0.221192i | ||||
\(137\) | −1.58037 | + | 5.89803i | −0.135020 | + | 0.503903i | 0.864977 | + | 0.501811i | \(0.167333\pi\) |
−0.999998 | + | 0.00209203i | \(0.999334\pi\) | |||||||
\(138\) | 30.6718 | + | 7.94794i | 2.61096 | + | 0.676573i | ||||
\(139\) | −0.750434 | − | 1.29979i | −0.0636510 | − | 0.110247i | 0.832444 | − | 0.554110i | \(-0.186941\pi\) |
−0.896095 | + | 0.443863i | \(0.853608\pi\) | |||||||
\(140\) | 2.64339 | − | 10.7054i | 0.223407 | − | 0.904774i | ||||
\(141\) | −1.20314 | + | 0.333039i | −0.101322 | + | 0.0280470i | ||||
\(142\) | − | 31.3075i | − | 2.62727i | ||||||
\(143\) | −0.519942 | + | 1.24086i | −0.0434797 | + | 0.103766i | ||||
\(144\) | 14.8890 | + | 24.8332i | 1.24075 | + | 2.06944i | ||||
\(145\) | 1.38458 | − | 5.16730i | 0.114983 | − | 0.429121i | ||||
\(146\) | −19.5466 | − | 11.2852i | −1.61769 | − | 0.933974i | ||||
\(147\) | −12.1106 | + | 0.577999i | −0.998863 | + | 0.0476726i | ||||
\(148\) | 10.3804 | − | 38.7404i | 0.853268 | − | 3.18444i | ||||
\(149\) | 4.40461 | + | 16.4382i | 0.360840 | + | 1.34667i | 0.872973 | + | 0.487768i | \(0.162189\pi\) |
−0.512133 | + | 0.858906i | \(0.671145\pi\) | |||||||
\(150\) | −13.7280 | − | 13.5034i | −1.12088 | − | 1.10254i | ||||
\(151\) | 18.2385 | + | 4.88699i | 1.48423 | + | 0.397697i | 0.907783 | − | 0.419440i | \(-0.137774\pi\) |
0.576443 | + | 0.817137i | \(0.304440\pi\) | |||||||
\(152\) | −14.7705 | + | 8.52774i | −1.19804 | + | 0.691691i | ||||
\(153\) | −4.04603 | + | 0.0667491i | −0.327102 | + | 0.00539635i | ||||
\(154\) | −2.57917 | + | 0.0508713i | −0.207835 | + | 0.00409932i | ||||
\(155\) | −2.47349 | + | 4.28421i | −0.198675 | + | 0.344116i | ||||
\(156\) | −23.9950 | − | 18.2541i | −1.92114 | − | 1.46150i | ||||
\(157\) | 0.378910 | 0.0302403 | 0.0151201 | − | 0.999886i | \(-0.495187\pi\) | ||||
0.0151201 | + | 0.999886i | \(0.495187\pi\) | |||||||
\(158\) | −17.1552 | + | 17.1552i | −1.36479 | + | 1.36479i | ||||
\(159\) | 15.2881 | − | 8.99553i | 1.21243 | − | 0.713392i | ||||
\(160\) | 7.80668 | + | 4.50719i | 0.617173 | + | 0.356325i | ||||
\(161\) | −9.57583 | − | 15.8553i | −0.754681 | − | 1.24957i | ||||
\(162\) | 6.83262 | + | 22.5025i | 0.536821 | + | 1.76796i | ||||
\(163\) | 8.69846 | + | 2.33074i | 0.681316 | + | 0.182558i | 0.582847 | − | 0.812582i | \(-0.301939\pi\) |
0.0984691 | + | 0.995140i | \(0.468605\pi\) | |||||||
\(164\) | −2.89146 | + | 10.7911i | −0.225785 | + | 0.842642i | ||||
\(165\) | 0.274984 | − | 0.485490i | 0.0214074 | − | 0.0377953i | ||||
\(166\) | 6.96736 | + | 4.02261i | 0.540772 | + | 0.312215i | ||||
\(167\) | −4.71580 | + | 17.5996i | −0.364919 | + | 1.36190i | 0.502611 | + | 0.864513i | \(0.332373\pi\) |
−0.867530 | + | 0.497384i | \(0.834294\pi\) | |||||||
\(168\) | 7.84553 | − | 32.9385i | 0.605295 | − | 2.54126i | ||||
\(169\) | 12.5291 | + | 3.46732i | 0.963775 | + | 0.266717i | ||||
\(170\) | −2.63511 | + | 1.52138i | −0.202104 | + | 0.116685i | ||||
\(171\) | −6.65839 | + | 1.90236i | −0.509179 | + | 0.145477i | ||||
\(172\) | −17.7353 | + | 30.7185i | −1.35231 | + | 2.34226i | ||||
\(173\) | 3.31926 | 0.252359 | 0.126180 | − | 0.992007i | \(-0.459728\pi\) | ||||
0.126180 | + | 0.992007i | \(0.459728\pi\) | |||||||
\(174\) | 7.03491 | − | 27.1484i | 0.533315 | − | 2.05811i | ||||
\(175\) | 0.221987 | + | 11.2547i | 0.0167806 | + | 0.850776i | ||||
\(176\) | 0.932116 | − | 3.47871i | 0.0702609 | − | 0.262217i | ||||
\(177\) | 16.7376 | − | 4.63312i | 1.25807 | − | 0.348246i | ||||
\(178\) | 14.1293 | + | 24.4726i | 1.05903 | + | 1.83430i | ||||
\(179\) | −4.00862 | + | 6.94313i | −0.299618 | + | 0.518954i | −0.976049 | − | 0.217553i | \(-0.930193\pi\) |
0.676430 | + | 0.736507i | \(0.263526\pi\) | |||||||
\(180\) | 8.98587 | + | 8.69419i | 0.669767 | + | 0.648027i | ||||
\(181\) | − | 21.2682i | − | 1.58085i | −0.612559 | − | 0.790425i | \(-0.709860\pi\) | ||
0.612559 | − | 0.790425i | \(-0.290140\pi\) | |||||||
\(182\) | 3.63936 | + | 24.6593i | 0.269767 | + | 1.82787i | ||||
\(183\) | 0.612896 | − | 1.08208i | 0.0453066 | − | 0.0799897i | ||||
\(184\) | 49.9659 | − | 13.3883i | 3.68353 | − | 0.987000i | ||||
\(185\) | − | 7.17199i | − | 0.527295i | ||||||
\(186\) | −12.7815 | + | 22.5660i | −0.937184 | + | 1.65462i | ||||
\(187\) | 0.355900 | + | 0.355900i | 0.0260260 | + | 0.0260260i | ||||
\(188\) | −2.46045 | + | 2.46045i | −0.179447 | + | 0.179447i | ||||
\(189\) | 6.33785 | − | 12.1997i | 0.461010 | − | 0.887395i | ||||
\(190\) | −3.68191 | + | 3.68191i | −0.267114 | + | 0.267114i | ||||
\(191\) | − | 2.68207i | − | 0.194068i | −0.995281 | − | 0.0970339i | \(-0.969064\pi\) | ||
0.995281 | − | 0.0970339i | \(-0.0309355\pi\) | |||||||
\(192\) | 12.0282 | + | 6.81285i | 0.868062 | + | 0.491675i | ||||
\(193\) | −7.37492 | + | 7.37492i | −0.530858 | + | 0.530858i | −0.920828 | − | 0.389970i | \(-0.872486\pi\) |
0.389970 | + | 0.920828i | \(0.372486\pi\) | |||||||
\(194\) | −14.4771 | + | 25.0751i | −1.03940 | + | 1.80029i | ||||
\(195\) | −4.98947 | − | 2.04246i | −0.357303 | − | 0.146263i | ||||
\(196\) | −28.5775 | + | 18.0380i | −2.04125 | + | 1.28843i | ||||
\(197\) | −10.0485 | + | 10.0485i | −0.715927 | + | 0.715927i | −0.967768 | − | 0.251842i | \(-0.918964\pi\) |
0.251842 | + | 0.967768i | \(0.418964\pi\) | |||||||
\(198\) | 1.42055 | − | 2.55697i | 0.100954 | − | 0.181716i | ||||
\(199\) | −19.0890 | − | 11.0211i | −1.35319 | − | 0.781262i | −0.364491 | − | 0.931207i | \(-0.618757\pi\) |
−0.988694 | + | 0.149945i | \(0.952090\pi\) | |||||||
\(200\) | −30.3662 | − | 8.13660i | −2.14721 | − | 0.575344i | ||||
\(201\) | 15.3476 | − | 4.24835i | 1.08253 | − | 0.299655i | ||||
\(202\) | −9.13527 | − | 2.44779i | −0.642755 | − | 0.172226i | ||||
\(203\) | −14.0339 | + | 8.47579i | −0.984986 | + | 0.594884i | ||||
\(204\) | −9.72106 | + | 5.71987i | −0.680610 | + | 0.400471i | ||||
\(205\) | 1.99775i | 0.139529i | ||||||||
\(206\) | −11.3289 | + | 3.03557i | −0.789322 | + | 0.211498i | ||||
\(207\) | 20.9998 | − | 0.346443i | 1.45959 | − | 0.0240794i | ||||
\(208\) | −34.4826 | − | 4.68338i | −2.39094 | − | 0.324734i | ||||
\(209\) | 0.745924 | + | 0.430659i | 0.0515966 | + | 0.0297893i | ||||
\(210\) | −0.289092 | − | 10.3334i | −0.0199493 | − | 0.713069i | ||||
\(211\) | −2.61645 | − | 4.53183i | −0.180124 | − | 0.311984i | 0.761799 | − | 0.647814i | \(-0.224317\pi\) |
−0.941923 | + | 0.335830i | \(0.890983\pi\) | |||||||
\(212\) | 24.7209 | − | 42.8178i | 1.69784 | − | 2.94074i | ||||
\(213\) | −5.53630 | − | 20.0004i | −0.379341 | − | 1.37041i | ||||
\(214\) | −5.84205 | + | 21.8028i | −0.399355 | + | 1.49041i | ||||
\(215\) | −1.64167 | + | 6.12678i | −0.111961 | + | 0.417843i | ||||
\(216\) | 27.8118 | + | 26.4684i | 1.89235 | + | 1.80094i | ||||
\(217\) | 14.5641 | − | 4.21196i | 0.988675 | − | 0.285926i | ||||
\(218\) | 16.4024 | − | 28.4098i | 1.11091 | − | 1.92415i | ||||
\(219\) | −14.4828 | − | 3.75289i | −0.978654 | − | 0.253597i | ||||
\(220\) | − | 1.55519i | − | 0.104851i | ||||||
\(221\) | 2.97641 | − | 3.84623i | 0.200215 | − | 0.258725i | ||||
\(222\) | −0.310111 | − | 37.5976i | −0.0208133 | − | 2.52339i | ||||
\(223\) | 9.59425 | − | 2.57077i | 0.642478 | − | 0.172152i | 0.0771527 | − | 0.997019i | \(-0.475417\pi\) |
0.565326 | + | 0.824868i | \(0.308750\pi\) | |||||||
\(224\) | −7.67503 | − | 26.5387i | −0.512810 | − | 1.77319i | ||||
\(225\) | −11.1578 | − | 6.19885i | −0.743855 | − | 0.413257i | ||||
\(226\) | −11.9655 | + | 44.6557i | −0.795930 | + | 2.97045i | ||||
\(227\) | −9.29944 | − | 2.49178i | −0.617225 | − | 0.165385i | −0.0633593 | − | 0.997991i | \(-0.520181\pi\) |
−0.553866 | + | 0.832606i | \(0.686848\pi\) | |||||||
\(228\) | −13.5352 | + | 13.7603i | −0.896390 | + | 0.911300i | ||||
\(229\) | 7.06602 | + | 26.3708i | 0.466936 | + | 1.74263i | 0.650390 | + | 0.759600i | \(0.274605\pi\) |
−0.183455 | + | 0.983028i | \(0.558728\pi\) | |||||||
\(230\) | 13.6768 | − | 7.89631i | 0.901823 | − | 0.520667i | ||||
\(231\) | −1.63867 | + | 0.488588i | −0.107817 | + | 0.0321468i | ||||
\(232\) | −11.8503 | − | 44.2260i | −0.778012 | − | 2.90358i | ||||
\(233\) | −0.168738 | − | 0.292262i | −0.0110544 | − | 0.0191467i | 0.860445 | − | 0.509543i | \(-0.170185\pi\) |
−0.871500 | + | 0.490396i | \(0.836852\pi\) | |||||||
\(234\) | −26.2445 | − | 10.4914i | −1.71566 | − | 0.685845i | ||||
\(235\) | −0.311114 | + | 0.538865i | −0.0202948 | + | 0.0351517i | ||||
\(236\) | 34.2289 | − | 34.2289i | 2.22811 | − | 2.22811i | ||||
\(237\) | −7.92571 | + | 13.9930i | −0.514830 | + | 0.908944i | ||||
\(238\) | 9.05321 | + | 2.23542i | 0.586832 | + | 0.144901i | ||||
\(239\) | 3.77602 | + | 1.01178i | 0.244251 | + | 0.0654468i | 0.378867 | − | 0.925451i | \(-0.376314\pi\) |
−0.134617 | + | 0.990898i | \(0.542980\pi\) | |||||||
\(240\) | 13.9704 | + | 3.62013i | 0.901785 | + | 0.233678i | ||||
\(241\) | 24.6054 | + | 6.59300i | 1.58497 | + | 0.424692i | 0.940461 | − | 0.339901i | \(-0.110394\pi\) |
0.644513 | + | 0.764594i | \(0.277060\pi\) | |||||||
\(242\) | 27.4121 | − | 7.34505i | 1.76212 | − | 0.472158i | ||||
\(243\) | 8.34418 | + | 13.1672i | 0.535280 | + | 0.844675i | ||||
\(244\) | − | 3.46628i | − | 0.221906i | ||||||
\(245\) | −4.10131 | + | 4.43831i | −0.262023 | + | 0.283553i | ||||
\(246\) | 0.0863812 | + | 10.4728i | 0.00550746 | + | 0.667720i | ||||
\(247\) | 3.21636 | − | 7.67597i | 0.204652 | − | 0.488411i | ||||
\(248\) | 42.3402i | 2.68861i | ||||||||
\(249\) | 5.16236 | + | 1.33771i | 0.327151 | + | 0.0847741i | ||||
\(250\) | −20.8768 | −1.32037 | ||||||||
\(251\) | 28.9588 | 1.82787 | 0.913933 | − | 0.405866i | \(-0.133030\pi\) | ||||
0.913933 | + | 0.405866i | \(0.133030\pi\) | |||||||
\(252\) | −1.38751 | − | 38.2938i | −0.0874046 | − | 2.41228i | ||||
\(253\) | −1.84720 | − | 1.84720i | −0.116133 | − | 0.116133i | ||||
\(254\) | −7.63082 | − | 7.63082i | −0.478800 | − | 0.478800i | ||||
\(255\) | −1.41437 | + | 1.43790i | −0.0885715 | + | 0.0900447i | ||||
\(256\) | −16.0378 | −1.00236 | ||||||||
\(257\) | 7.60611 | − | 13.1742i | 0.474456 | − | 0.821782i | −0.525116 | − | 0.851031i | \(-0.675978\pi\) |
0.999572 | + | 0.0292484i | \(0.00931139\pi\) | |||||||
\(258\) | −8.34117 | + | 32.1894i | −0.519299 | + | 2.00402i | ||||
\(259\) | −15.2326 | + | 15.8456i | −0.946509 | + | 0.984598i | ||||
\(260\) | −14.9066 | + | 1.90045i | −0.924465 | + | 0.117861i | ||||
\(261\) | −0.306645 | − | 18.5874i | −0.0189808 | − | 1.15053i | ||||
\(262\) | −27.0281 | + | 7.24217i | −1.66980 | + | 0.447422i | ||||
\(263\) | −12.0930 | + | 6.98190i | −0.745687 | + | 0.430522i | −0.824133 | − | 0.566396i | \(-0.808337\pi\) |
0.0784467 | + | 0.996918i | \(0.475004\pi\) | |||||||
\(264\) | −0.0393874 | − | 4.77529i | −0.00242412 | − | 0.293899i | ||||
\(265\) | 2.28828 | − | 8.53999i | 0.140568 | − | 0.524608i | ||||
\(266\) | 15.9547 | − | 0.314690i | 0.978248 | − | 0.0192949i | ||||
\(267\) | 13.3540 | + | 13.1355i | 0.817248 | + | 0.803877i | ||||
\(268\) | 31.3862 | − | 31.3862i | 1.91722 | − | 1.91722i | ||||
\(269\) | −10.9375 | − | 6.31477i | −0.666872 | − | 0.385019i | 0.128019 | − | 0.991772i | \(-0.459138\pi\) |
−0.794890 | + | 0.606753i | \(0.792472\pi\) | |||||||
\(270\) | 10.2930 | + | 5.60781i | 0.626413 | + | 0.341280i | ||||
\(271\) | −7.27712 | − | 1.94990i | −0.442053 | − | 0.118448i | 0.0309253 | − | 0.999522i | \(-0.490155\pi\) |
−0.472979 | + | 0.881074i | \(0.656821\pi\) | |||||||
\(272\) | −6.50929 | + | 11.2744i | −0.394684 | + | 0.683612i | ||||
\(273\) | 6.68560 | + | 15.1097i | 0.404631 | + | 0.914480i | ||||
\(274\) | 7.97759 | + | 13.8176i | 0.481944 | + | 0.834751i | ||||
\(275\) | 0.410906 | + | 1.53352i | 0.0247786 | + | 0.0924749i | ||||
\(276\) | 50.4545 | − | 29.6874i | 3.03700 | − | 1.78697i | ||||
\(277\) | −9.20313 | + | 5.31343i | −0.552963 | + | 0.319253i | −0.750316 | − | 0.661079i | \(-0.770099\pi\) |
0.197353 | + | 0.980332i | \(0.436765\pi\) | |||||||
\(278\) | −3.78813 | − | 1.01503i | −0.227197 | − | 0.0608772i | ||||
\(279\) | −4.17481 | + | 16.6762i | −0.249940 | + | 0.998380i | ||||
\(280\) | −8.72497 | − | 14.4465i | −0.521416 | − | 0.863341i | ||||
\(281\) | 12.9483 | − | 3.46949i | 0.772432 | − | 0.206972i | 0.148986 | − | 0.988839i | \(-0.452399\pi\) |
0.623446 | + | 0.781867i | \(0.285732\pi\) | |||||||
\(282\) | −1.60765 | + | 2.83834i | −0.0957341 | + | 0.169021i | ||||
\(283\) | 22.9333i | 1.36324i | 0.731704 | + | 0.681622i | \(0.238725\pi\) | ||||
−0.731704 | + | 0.681622i | \(0.761275\pi\) | |||||||
\(284\) | −40.9014 | − | 40.9014i | −2.42705 | − | 2.42705i | ||||
\(285\) | −1.70105 | + | 3.00324i | −0.100761 | + | 0.177897i | ||||
\(286\) | 1.33202 | + | 3.25338i | 0.0787639 | + | 0.192376i | ||||
\(287\) | 4.24303 | − | 4.41377i | 0.250458 | − | 0.260537i | ||||
\(288\) | 30.3874 | + | 7.60735i | 1.79060 | + | 0.448267i | ||||
\(289\) | 7.59029 | + | 13.1468i | 0.446488 | + | 0.773339i | ||||
\(290\) | −6.98922 | − | 12.1057i | −0.410421 | − | 0.710870i | ||||
\(291\) | −4.81434 | + | 18.5790i | −0.282222 | + | 1.08912i | ||||
\(292\) | −40.2800 | + | 10.7930i | −2.35721 | + | 0.631613i | ||||
\(293\) | 1.59620 | − | 5.95708i | 0.0932507 | − | 0.348016i | −0.903498 | − | 0.428593i | \(-0.859009\pi\) |
0.996748 | + | 0.0805765i | \(0.0256761\pi\) | |||||||
\(294\) | −21.3083 | + | 23.4442i | −1.24273 | + | 1.36730i | ||||
\(295\) | 4.32810 | − | 7.49649i | 0.251992 | − | 0.436462i | ||||
\(296\) | −30.6919 | − | 53.1599i | −1.78393 | − | 3.08986i | ||||
\(297\) | 0.455338 | − | 1.88469i | 0.0264214 | − | 0.109361i | ||||
\(298\) | 38.5106 | + | 22.2341i | 2.23086 | + | 1.28799i | ||||
\(299\) | −15.4482 | + | 19.9628i | −0.893393 | + | 1.15448i | ||||
\(300\) | −35.5761 | + | 0.293438i | −2.05399 | + | 0.0169416i | ||||
\(301\) | 16.6397 | − | 10.0496i | 0.959099 | − | 0.579250i | ||||
\(302\) | 42.7281 | − | 24.6691i | 2.45873 | − | 1.41955i | ||||
\(303\) | −6.26881 | + | 0.0517062i | −0.360134 | + | 0.00297044i | ||||
\(304\) | −5.76608 | + | 21.5193i | −0.330707 | + | 1.23422i | ||||
\(305\) | −0.160428 | − | 0.598725i | −0.00918607 | − | 0.0342829i | ||||
\(306\) | −7.35237 | + | 7.59903i | −0.420307 | + | 0.434408i | ||||
\(307\) | 20.5593 | − | 20.5593i | 1.17338 | − | 1.17338i | 0.191984 | − | 0.981398i | \(-0.438508\pi\) |
0.981398 | − | 0.191984i | \(-0.0614921\pi\) | |||||||
\(308\) | −3.30307 | + | 3.43599i | −0.188210 | + | 0.195784i | ||||
\(309\) | −6.70053 | + | 3.94260i | −0.381180 | + | 0.224287i | ||||
\(310\) | 3.34560 | + | 12.4860i | 0.190017 | + | 0.709155i | ||||
\(311\) | −22.6547 | −1.28463 | −0.642314 | − | 0.766441i | \(-0.722026\pi\) | ||||
−0.642314 | + | 0.766441i | \(0.722026\pi\) | |||||||
\(312\) | −45.7232 | + | 6.21295i | −2.58857 | + | 0.351739i | ||||
\(313\) | −28.9858 | −1.63838 | −0.819188 | − | 0.573525i | \(-0.805576\pi\) | ||||
−0.819188 | + | 0.573525i | \(0.805576\pi\) | |||||||
\(314\) | 0.700098 | − | 0.700098i | 0.0395088 | − | 0.0395088i | ||||
\(315\) | −2.01199 | − | 6.55021i | −0.113363 | − | 0.369063i | ||||
\(316\) | 44.8244i | 2.52157i | ||||||||
\(317\) | 6.09998 | − | 6.09998i | 0.342609 | − | 0.342609i | −0.514738 | − | 0.857347i | \(-0.672111\pi\) |
0.857347 | + | 0.514738i | \(0.172111\pi\) | |||||||
\(318\) | 11.6266 | − | 44.8681i | 0.651986 | − | 2.51608i | ||||
\(319\) | −1.63500 | + | 1.63500i | −0.0915426 | + | 0.0915426i | ||||
\(320\) | 6.65532 | − | 1.78329i | 0.372044 | − | 0.0996888i | ||||
\(321\) | 0.123405 | + | 14.9616i | 0.00688782 | + | 0.835073i | ||||
\(322\) | −46.9882 | − | 11.6023i | −2.61855 | − | 0.646573i | ||||
\(323\) | −2.20160 | − | 2.20160i | −0.122500 | − | 0.122500i | ||||
\(324\) | 38.3246 | + | 20.4718i | 2.12914 | + | 1.13732i | ||||
\(325\) | 14.1967 | − | 5.81252i | 0.787494 | − | 0.322421i | ||||
\(326\) | 20.3783 | − | 11.7654i | 1.12865 | − | 0.651625i | ||||
\(327\) | 5.45459 | − | 21.0498i | 0.301640 | − | 1.16406i | ||||
\(328\) | 8.54919 | + | 14.8076i | 0.472050 | + | 0.817614i | ||||
\(329\) | 1.83186 | − | 0.529778i | 0.100994 | − | 0.0292076i | ||||
\(330\) | −0.388944 | − | 1.40510i | −0.0214107 | − | 0.0773482i | ||||
\(331\) | −17.5811 | − | 17.5811i | −0.966345 | − | 0.966345i | 0.0331071 | − | 0.999452i | \(-0.489460\pi\) |
−0.999452 | + | 0.0331071i | \(0.989460\pi\) | |||||||
\(332\) | 14.3578 | − | 3.84715i | 0.787985 | − | 0.211140i | ||||
\(333\) | −6.84673 | − | 23.9639i | −0.375199 | − | 1.31322i | ||||
\(334\) | 23.8049 | + | 41.2314i | 1.30255 | + | 2.25608i | ||||
\(335\) | 3.96866 | − | 6.87392i | 0.216831 | − | 0.375562i | ||||
\(336\) | −23.1770 | − | 37.6700i | −1.26441 | − | 2.05507i | ||||
\(337\) | −9.53788 | + | 5.50670i | −0.519561 | + | 0.299969i | −0.736755 | − | 0.676160i | \(-0.763643\pi\) |
0.217194 | + | 0.976128i | \(0.430310\pi\) | |||||||
\(338\) | 29.5560 | − | 16.7431i | 1.60763 | − | 0.910703i | ||||
\(339\) | 0.252754 | + | 30.6437i | 0.0137277 | + | 1.66434i | ||||
\(340\) | −1.45502 | + | 5.43022i | −0.0789097 | + | 0.294495i | ||||
\(341\) | 1.85176 | − | 1.06911i | 0.100278 | − | 0.0578957i | ||||
\(342\) | −8.78753 | + | 15.8174i | −0.475175 | + | 0.855307i | ||||
\(343\) | 18.4879 | − | 1.09509i | 0.998250 | − | 0.0591295i | ||||
\(344\) | 14.0507 | + | 52.4380i | 0.757564 | + | 2.82727i | ||||
\(345\) | 7.34091 | − | 7.46302i | 0.395221 | − | 0.401795i | ||||
\(346\) | 6.13289 | − | 6.13289i | 0.329706 | − | 0.329706i | ||||
\(347\) | − | 31.3120i | − | 1.68092i | −0.541877 | − | 0.840458i | \(-0.682286\pi\) | ||
0.541877 | − | 0.840458i | \(-0.317714\pi\) | |||||||
\(348\) | −26.2771 | − | 44.6585i | −1.40860 | − | 2.39394i | ||||
\(349\) | 1.98589 | + | 7.41144i | 0.106302 | + | 0.396725i | 0.998490 | − | 0.0549400i | \(-0.0174967\pi\) |
−0.892187 | + | 0.451665i | \(0.850830\pi\) | |||||||
\(350\) | 21.2051 | + | 20.3848i | 1.13346 | + | 1.08961i | ||||
\(351\) | −18.6212 | − | 2.06133i | −0.993929 | − | 0.110026i | ||||
\(352\) | −1.94814 | − | 3.37427i | −0.103836 | − | 0.179849i | ||||
\(353\) | −6.94403 | − | 1.86065i | −0.369594 | − | 0.0990323i | 0.0692415 | − | 0.997600i | \(-0.477942\pi\) |
−0.438835 | + | 0.898568i | \(0.644609\pi\) | |||||||
\(354\) | 22.3650 | − | 39.4859i | 1.18869 | − | 2.09865i | ||||
\(355\) | −8.95786 | − | 5.17182i | −0.475434 | − | 0.274492i | ||||
\(356\) | 50.4311 | + | 13.5130i | 2.67284 | + | 0.716186i | ||||
\(357\) | 6.17883 | − | 0.172863i | 0.327018 | − | 0.00914887i | ||||
\(358\) | 5.42200 | + | 20.2352i | 0.286561 | + | 1.06946i | ||||
\(359\) | −0.843417 | + | 3.14768i | −0.0445138 | + | 0.166128i | −0.984605 | − | 0.174796i | \(-0.944073\pi\) |
0.940091 | + | 0.340924i | \(0.110740\pi\) | |||||||
\(360\) | 19.1339 | − | 0.315660i | 1.00844 | − | 0.0166367i | ||||
\(361\) | 11.8402 | + | 6.83594i | 0.623168 | + | 0.359786i | ||||
\(362\) | −39.2964 | − | 39.2964i | −2.06538 | − | 2.06538i | ||||
\(363\) | 16.2130 | − | 9.53974i | 0.850963 | − | 0.500707i | ||||
\(364\) | 36.9705 | + | 27.4613i | 1.93778 | + | 1.43936i | ||||
\(365\) | −6.45798 | + | 3.72852i | −0.338026 | + | 0.195160i | ||||
\(366\) | −0.866897 | − | 3.13175i | −0.0453134 | − | 0.163699i | ||||
\(367\) | −4.75604 | − | 8.23771i | −0.248263 | − | 0.430005i | 0.714781 | − | 0.699349i | \(-0.246527\pi\) |
−0.963044 | + | 0.269344i | \(0.913193\pi\) | |||||||
\(368\) | 33.7847 | − | 58.5168i | 1.76115 | − | 3.05040i | ||||
\(369\) | 1.90715 | + | 6.67513i | 0.0992822 | + | 0.347493i | ||||
\(370\) | −13.2514 | − | 13.2514i | −0.688910 | − | 0.688910i | ||||
\(371\) | −23.1938 | + | 14.0079i | −1.20416 | + | 0.727256i | ||||
\(372\) | 12.7829 | + | 46.1794i | 0.662762 | + | 2.39429i | ||||
\(373\) | 3.47277 | − | 6.01502i | 0.179813 | − | 0.311446i | −0.762003 | − | 0.647573i | \(-0.775784\pi\) |
0.941817 | + | 0.336127i | \(0.109117\pi\) | |||||||
\(374\) | 1.31517 | 0.0680058 | ||||||||
\(375\) | −13.3369 | + | 3.69177i | −0.688714 | + | 0.190642i | ||||
\(376\) | 5.32553i | 0.274643i | ||||||||
\(377\) | 17.6696 | + | 13.6736i | 0.910028 | + | 0.704226i | ||||
\(378\) | −10.8307 | − | 34.2511i | −0.557070 | − | 1.76169i | ||||
\(379\) | −2.00980 | − | 2.00980i | −0.103237 | − | 0.103237i | 0.653602 | − | 0.756839i | \(-0.273257\pi\) |
−0.756839 | + | 0.653602i | \(0.773257\pi\) | |||||||
\(380\) | 9.62041i | 0.493517i | ||||||||
\(381\) | −6.22426 | − | 3.52545i | −0.318878 | − | 0.180614i | ||||
\(382\) | −4.95557 | − | 4.95557i | −0.253549 | − | 0.253549i | ||||
\(383\) | 4.33282 | + | 16.1703i | 0.221397 | + | 0.826264i | 0.983816 | + | 0.179181i | \(0.0573447\pi\) |
−0.762419 | + | 0.647083i | \(0.775989\pi\) | |||||||
\(384\) | −0.0483284 | + | 0.0133777i | −0.00246625 | + | 0.000682680i | ||||
\(385\) | −0.411508 | + | 0.746368i | −0.0209724 | + | 0.0380384i | ||||
\(386\) | 27.2528i | 1.38713i | ||||||||
\(387\) | 0.363584 | + | 22.0388i | 0.0184820 | + | 1.12029i | ||||
\(388\) | 13.8456 | + | 51.6726i | 0.702906 | + | 2.62328i | ||||
\(389\) | 5.76171 | + | 9.97957i | 0.292130 | + | 0.505984i | 0.974313 | − | 0.225197i | \(-0.0723026\pi\) |
−0.682183 | + | 0.731181i | \(0.738969\pi\) | |||||||
\(390\) | −12.9926 | + | 5.44508i | −0.657908 | + | 0.275723i | ||||
\(391\) | 4.72160 | + | 8.17806i | 0.238782 | + | 0.413582i | ||||
\(392\) | −11.4062 | + | 50.4486i | −0.576099 | + | 2.54804i | ||||
\(393\) | −15.9859 | + | 9.40612i | −0.806382 | + | 0.474476i | ||||
\(394\) | 37.1326i | 1.87071i | ||||||||
\(395\) | 2.07458 | + | 7.74245i | 0.104384 | + | 0.389565i | ||||
\(396\) | −1.48466 | − | 5.19639i | −0.0746070 | − | 0.261129i | ||||
\(397\) | −2.90017 | − | 0.777098i | −0.145555 | − | 0.0390014i | 0.185306 | − | 0.982681i | \(-0.440672\pi\) |
−0.330861 | + | 0.943679i | \(0.607339\pi\) | |||||||
\(398\) | −55.6334 | + | 14.9069i | −2.78865 | + | 0.747216i | ||||
\(399\) | 10.1368 | − | 3.02241i | 0.507477 | − | 0.151310i | ||||
\(400\) | −35.5629 | + | 20.5323i | −1.77815 | + | 1.02661i | ||||
\(401\) | −7.00823 | + | 1.87785i | −0.349974 | + | 0.0937753i | −0.429524 | − | 0.903056i | \(-0.641319\pi\) |
0.0795494 | + | 0.996831i | \(0.474652\pi\) | |||||||
\(402\) | 20.5076 | − | 36.2067i | 1.02283 | − | 1.80582i | ||||
\(403\) | −12.5103 | − | 16.4427i | −0.623184 | − | 0.819069i | ||||
\(404\) | −15.1326 | + | 8.73681i | −0.752875 | + | 0.434672i | ||||
\(405\) | 7.56723 | + | 1.76230i | 0.376019 | + | 0.0875694i | ||||
\(406\) | −10.2695 | + | 41.5904i | −0.509667 | + | 2.06410i | ||||
\(407\) | −1.54997 | + | 2.68463i | −0.0768292 | + | 0.133072i | ||||
\(408\) | −4.33019 | + | 16.7106i | −0.214376 | + | 0.827298i | ||||
\(409\) | −9.78266 | − | 9.78266i | −0.483721 | − | 0.483721i | 0.422597 | − | 0.906318i | \(-0.361119\pi\) |
−0.906318 | + | 0.422597i | \(0.861119\pi\) | |||||||
\(410\) | 3.69117 | + | 3.69117i | 0.182294 | + | 0.182294i | ||||
\(411\) | 7.53983 | + | 7.41647i | 0.371912 | + | 0.365827i | ||||
\(412\) | −10.8348 | + | 18.7664i | −0.533790 | + | 0.924552i | ||||
\(413\) | −25.4842 | + | 7.37007i | −1.25400 | + | 0.362657i | ||||
\(414\) | 38.1605 | − | 39.4407i | 1.87548 | − | 1.93840i | ||||
\(415\) | 2.30194 | − | 1.32902i | 0.112998 | − | 0.0652392i | ||||
\(416\) | −29.9619 | + | 22.7963i | −1.46900 | + | 1.11768i | ||||
\(417\) | −2.59949 | + | 0.0214410i | −0.127298 | + | 0.00104997i | ||||
\(418\) | 2.17393 | − | 0.582503i | 0.106330 | − | 0.0284912i | ||||
\(419\) | −9.57810 | + | 5.52992i | −0.467921 | + | 0.270154i | −0.715369 | − | 0.698747i | \(-0.753741\pi\) |
0.247448 | + | 0.968901i | \(0.420408\pi\) | |||||||
\(420\) | −13.8776 | − | 13.1222i | −0.677158 | − | 0.640300i | ||||
\(421\) | 2.02659 | − | 0.543024i | 0.0987701 | − | 0.0264654i | −0.209095 | − | 0.977895i | \(-0.567052\pi\) |
0.307866 | + | 0.951430i | \(0.400385\pi\) | |||||||
\(422\) | −13.2076 | − | 3.53897i | −0.642937 | − | 0.172275i | ||||
\(423\) | −0.525106 | + | 2.09753i | −0.0255315 | + | 0.101985i | ||||
\(424\) | −19.5850 | − | 73.0922i | −0.951132 | − | 3.54967i | ||||
\(425\) | − | 5.73900i | − | 0.278382i | ||||||
\(426\) | −47.1833 | − | 26.7248i | −2.28604 | − | 1.29482i | ||||
\(427\) | −0.917189 | + | 1.66354i | −0.0443859 | + | 0.0805043i | ||||
\(428\) | 20.8518 | + | 36.1165i | 1.00791 | + | 1.74575i | ||||
\(429\) | 1.42626 | + | 1.84283i | 0.0688603 | + | 0.0889726i | ||||
\(430\) | 8.28700 | + | 14.3535i | 0.399634 | + | 0.692187i | ||||
\(431\) | 2.05271 | + | 7.66083i | 0.0988757 | + | 0.369009i | 0.997579 | − | 0.0695490i | \(-0.0221560\pi\) |
−0.898703 | + | 0.438558i | \(0.855489\pi\) | |||||||
\(432\) | 50.1356 | − | 1.24080i | 2.41215 | − | 0.0596982i | ||||
\(433\) | − | 34.2932i | − | 1.64803i | −0.566570 | − | 0.824014i | \(-0.691730\pi\) | ||
0.566570 | − | 0.824014i | \(-0.308270\pi\) | |||||||
\(434\) | 19.1273 | − | 34.6919i | 0.918139 | − | 1.66526i | ||||
\(435\) | −6.60570 | − | 6.49762i | −0.316719 | − | 0.311537i | ||||
\(436\) | −15.6870 | − | 58.5445i | −0.751269 | − | 2.80377i | ||||
\(437\) | 11.4268 | + | 11.4268i | 0.546618 | + | 0.546618i | ||||
\(438\) | −33.6934 | + | 19.8252i | −1.60993 | + | 0.947285i | ||||
\(439\) | 35.1037i | 1.67541i | 0.546124 | + | 0.837704i | \(0.316103\pi\) | ||||
−0.546124 | + | 0.837704i | \(0.683897\pi\) | |||||||
\(440\) | −1.68307 | − | 1.68307i | −0.0802372 | − | 0.0802372i | ||||
\(441\) | −9.46678 | + | 18.7451i | −0.450799 | + | 0.892626i | ||||
\(442\) | −1.60714 | − | 12.6059i | −0.0764440 | − | 0.599604i | ||||
\(443\) | 40.4007i | 1.91949i | 0.280867 | + | 0.959747i | \(0.409378\pi\) | ||||
−0.280867 | + | 0.959747i | \(0.590622\pi\) | |||||||
\(444\) | −49.5243 | − | 48.7140i | −2.35032 | − | 2.31186i | ||||
\(445\) | 9.33630 | 0.442583 | ||||||||
\(446\) | 12.9770 | − | 22.4769i | 0.614481 | − | 1.06431i | ||||
\(447\) | 28.5338 | + | 7.39392i | 1.34960 | + | 0.349721i | ||||
\(448\) | −18.4916 | − | 10.1953i | −0.873646 | − | 0.481683i | ||||
\(449\) | −23.4059 | − | 23.4059i | −1.10459 | − | 1.10459i | −0.993849 | − | 0.110744i | \(-0.964677\pi\) |
−0.110744 | − | 0.993849i | \(-0.535323\pi\) | |||||||
\(450\) | −32.0693 | + | 9.16252i | −1.51176 | + | 0.431925i | ||||
\(451\) | 0.431742 | − | 0.747800i | 0.0203300 | − | 0.0352125i | ||||
\(452\) | 42.7079 | + | 73.9722i | 2.00881 | + | 3.47936i | ||||
\(453\) | 22.9339 | − | 23.3154i | 1.07753 | − | 1.09545i | ||||
\(454\) | −21.7862 | + | 12.5783i | −1.02248 | + | 0.590328i | ||||
\(455\) | 7.65683 | + | 3.03226i | 0.358958 | + | 0.142154i | ||||
\(456\) | 0.243650 | + | 29.5400i | 0.0114100 | + | 1.38334i | ||||
\(457\) | 4.40808 | + | 4.40808i | 0.206201 | + | 0.206201i | 0.802651 | − | 0.596449i | \(-0.203422\pi\) |
−0.596449 | + | 0.802651i | \(0.703422\pi\) | |||||||
\(458\) | 61.7800 | + | 35.6687i | 2.88679 | + | 1.66669i | ||||
\(459\) | −3.35319 | + | 6.15471i | −0.156513 | + | 0.287277i | ||||
\(460\) | 7.55189 | − | 28.1840i | 0.352109 | − | 1.31409i | ||||
\(461\) | 0.111595 | + | 0.416478i | 0.00519750 | + | 0.0193973i | 0.968476 | − | 0.249107i | \(-0.0801372\pi\) |
−0.963278 | + | 0.268505i | \(0.913471\pi\) | |||||||
\(462\) | −2.12497 | + | 3.93047i | −0.0988627 | + | 0.182862i | ||||
\(463\) | −20.5318 | − | 5.50147i | −0.954193 | − | 0.255675i | −0.252052 | − | 0.967714i | \(-0.581105\pi\) |
−0.702140 | + | 0.712038i | \(0.747772\pi\) | |||||||
\(464\) | −51.7946 | − | 29.9036i | −2.40450 | − | 1.38824i | ||||
\(465\) | 4.34526 | + | 7.38488i | 0.201507 | + | 0.342465i | ||||
\(466\) | −0.851774 | − | 0.228232i | −0.0394577 | − | 0.0105726i | ||||
\(467\) | 16.1985 | + | 28.0566i | 0.749576 | + | 1.29830i | 0.948026 | + | 0.318193i | \(0.103076\pi\) |
−0.198450 | + | 0.980111i | \(0.563591\pi\) | |||||||
\(468\) | −47.9934 | + | 20.5805i | −2.21849 | + | 0.951335i | ||||
\(469\) | −23.3678 | + | 6.75800i | −1.07902 | + | 0.312055i | ||||
\(470\) | 0.420808 | + | 1.57048i | 0.0194104 | + | 0.0724407i | ||||
\(471\) | 0.323447 | − | 0.571052i | 0.0149036 | − | 0.0263127i | ||||
\(472\) | − | 74.0868i | − | 3.41012i | ||||||
\(473\) | 1.93860 | − | 1.93860i | 0.0891367 | − | 0.0891367i | ||||
\(474\) | 11.2103 | + | 40.4985i | 0.514908 | + | 1.86016i | ||||
\(475\) | −2.54187 | − | 9.48638i | −0.116629 | − | 0.435265i | ||||
\(476\) | 14.7479 | − | 8.90704i | 0.675971 | − | 0.408254i | ||||
\(477\) | −0.506792 | − | 30.7194i | −0.0232044 | − | 1.40654i | ||||
\(478\) | 8.84626 | − | 5.10739i | 0.404619 | − | 0.233607i | ||||
\(479\) | −0.939371 | + | 3.50578i | −0.0429210 | + | 0.160183i | −0.984060 | − | 0.177836i | \(-0.943090\pi\) |
0.941139 | + | 0.338019i | \(0.109757\pi\) | |||||||
\(480\) | 13.4567 | − | 7.91794i | 0.614213 | − | 0.361403i | ||||
\(481\) | 27.6263 | + | 11.5759i | 1.25965 | + | 0.527815i | ||||
\(482\) | 57.6442 | − | 33.2809i | 2.62562 | − | 1.51590i | ||||
\(483\) | −32.0695 | + | 0.897197i | −1.45921 | + | 0.0408239i | ||||
\(484\) | 26.2164 | − | 45.4082i | 1.19166 | − | 2.06401i | ||||
\(485\) | 4.78307 | + | 8.28452i | 0.217188 | + | 0.376181i | ||||
\(486\) | 39.7458 | + | 8.91129i | 1.80291 | + | 0.404224i | ||||
\(487\) | −23.8454 | + | 6.38935i | −1.08054 | + | 0.289529i | −0.754816 | − | 0.655937i | \(-0.772274\pi\) |
−0.325722 | + | 0.945466i | \(0.605607\pi\) | |||||||
\(488\) | −3.75130 | − | 3.75130i | −0.169813 | − | 0.169813i | ||||
\(489\) | 10.9379 | − | 11.1198i | 0.494627 | − | 0.502855i | ||||
\(490\) | 0.622664 | + | 15.7784i | 0.0281291 | + | 0.712794i | ||||
\(491\) | 0.891459 | + | 1.54405i | 0.0402310 | + | 0.0696821i | 0.885440 | − | 0.464754i | \(-0.153857\pi\) |
−0.845209 | + | 0.534436i | \(0.820524\pi\) | |||||||
\(492\) | 13.7949 | + | 13.5692i | 0.621923 | + | 0.611748i | ||||
\(493\) | 7.23859 | − | 4.17920i | 0.326010 | − | 0.188222i | ||||
\(494\) | −8.23987 | − | 20.1254i | −0.370729 | − | 0.905484i | ||||
\(495\) | −0.496945 | − | 0.828851i | −0.0223360 | − | 0.0372541i | ||||
\(496\) | 39.1074 | + | 39.1074i | 1.75597 | + | 1.75597i | ||||
\(497\) | 8.80679 | + | 30.4521i | 0.395039 | + | 1.36596i | ||||
\(498\) | 12.0100 | − | 7.06666i | 0.538179 | − | 0.316665i | ||||
\(499\) | −40.5287 | + | 10.8596i | −1.81432 | + | 0.486144i | −0.996058 | − | 0.0887076i | \(-0.971726\pi\) |
−0.818257 | + | 0.574852i | \(0.805060\pi\) | |||||||
\(500\) | −27.2743 | + | 27.2743i | −1.21975 | + | 1.21975i | ||||
\(501\) | 22.4987 | + | 22.1306i | 1.00517 | + | 0.988721i | ||||
\(502\) | 53.5062 | − | 53.5062i | 2.38810 | − | 2.38810i | ||||
\(503\) | − | 3.73352i | − | 0.166469i | −0.996530 | − | 0.0832346i | \(-0.973475\pi\) | ||
0.996530 | − | 0.0832346i | \(-0.0265251\pi\) | |||||||
\(504\) | −42.9442 | − | 39.9410i | −1.91289 | − | 1.77912i | ||||
\(505\) | −2.20947 | + | 2.20947i | −0.0983200 | + | 0.0983200i | ||||
\(506\) | −6.82602 | −0.303454 | ||||||||
\(507\) | 15.9207 | − | 15.9227i | 0.707063 | − | 0.707151i | ||||
\(508\) | −19.9384 | −0.884625 | ||||||||
\(509\) | −8.99754 | − | 33.5793i | −0.398809 | − | 1.48838i | −0.815194 | − | 0.579187i | \(-0.803370\pi\) |
0.416385 | − | 0.909188i | \(-0.363297\pi\) | |||||||
\(510\) | 0.0434682 | + | 5.27004i | 0.00192480 | + | 0.233361i | ||||
\(511\) | 22.1871 | + | 5.47844i | 0.981499 | + | 0.242352i | ||||
\(512\) | −29.5916 | + | 29.5916i | −1.30778 | + | 1.30778i | ||||
\(513\) | −2.81672 | + | 11.6587i | −0.124361 | + | 0.514744i | ||||
\(514\) | −10.2879 | − | 38.3950i | −0.453780 | − | 1.69353i | ||||
\(515\) | −1.00292 | + | 3.74294i | −0.0441939 | + | 0.164934i | ||||
\(516\) | 31.1563 | + | 52.9508i | 1.37158 | + | 2.33103i | ||||
\(517\) | 0.232913 | − | 0.134472i | 0.0102435 | − | 0.00591409i | ||||
\(518\) | 1.13259 | + | 57.4221i | 0.0497631 | + | 2.52298i | ||||
\(519\) | 2.83340 | − | 5.00244i | 0.124373 | − | 0.219583i | ||||
\(520\) | −14.0756 | + | 18.1890i | −0.617254 | + | 0.797640i | ||||
\(521\) | −35.8753 | − | 20.7126i | −1.57173 | − | 0.907436i | −0.995958 | − | 0.0898230i | \(-0.971370\pi\) |
−0.575768 | − | 0.817613i | \(-0.695297\pi\) | |||||||
\(522\) | −34.9099 | − | 33.7768i | −1.52797 | − | 1.47837i | ||||
\(523\) | 8.96555 | + | 15.5288i | 0.392036 | + | 0.679027i | 0.992718 | − | 0.120461i | \(-0.0384374\pi\) |
−0.600682 | + | 0.799488i | \(0.705104\pi\) | |||||||
\(524\) | −25.8492 | + | 44.7721i | −1.12923 | + | 1.95588i | ||||
\(525\) | 17.1514 | + | 9.27274i | 0.748547 | + | 0.404695i | ||||
\(526\) | −9.44361 | + | 35.2440i | −0.411761 | + | 1.53671i | ||||
\(527\) | −7.46598 | + | 2.00050i | −0.325223 | + | 0.0871433i | ||||
\(528\) | −4.44705 | − | 4.37429i | −0.193533 | − | 0.190367i | ||||
\(529\) | −13.0062 | − | 22.5274i | −0.565486 | − | 0.979450i | ||||
\(530\) | −11.5511 | − | 20.0070i | −0.501746 | − | 0.869050i | ||||
\(531\) | 7.30507 | − | 29.1800i | 0.317013 | − | 1.26630i | ||||
\(532\) | 20.4328 | − | 21.2551i | 0.885875 | − | 0.921524i | ||||
\(533\) | −7.69528 | − | 3.22445i | −0.333319 | − | 0.139667i | ||||
\(534\) | 48.9436 | − | 0.403694i | 2.11800 | − | 0.0174696i | ||||
\(535\) | 5.27326 | + | 5.27326i | 0.227983 | + | 0.227983i | ||||
\(536\) | − | 67.9341i | − | 2.93430i | ||||||
\(537\) | 7.04208 | + | 11.9682i | 0.303888 | + | 0.516465i | ||||
\(538\) | −31.8764 | + | 8.54127i | −1.37429 | + | 0.368240i | ||||
\(539\) | 2.49439 | − | 0.775001i | 0.107441 | − | 0.0333816i | ||||
\(540\) | 20.7735 | − | 6.12096i | 0.893949 | − | 0.263404i | ||||
\(541\) | −25.3645 | − | 6.79639i | −1.09050 | − | 0.292200i | −0.331612 | − | 0.943416i | \(-0.607592\pi\) |
−0.758892 | + | 0.651216i | \(0.774259\pi\) | |||||||
\(542\) | −17.0484 | + | 9.84292i | −0.732293 | + | 0.422790i | ||||
\(543\) | −32.0531 | − | 18.1550i | −1.37553 | − | 0.779106i | ||||
\(544\) | 3.64532 | + | 13.6045i | 0.156292 | + | 0.583289i | ||||
\(545\) | −5.41916 | − | 9.38627i | −0.232131 | − | 0.402064i | ||||
\(546\) | 40.2704 | + | 15.5649i | 1.72341 | + | 0.666116i | ||||
\(547\) | −1.38916 | + | 2.40609i | −0.0593961 | + | 0.102877i | −0.894195 | − | 0.447679i | \(-0.852251\pi\) |
0.834798 | + | 0.550556i | \(0.185584\pi\) | |||||||
\(548\) | 28.4741 | + | 7.62962i | 1.21635 | + | 0.325921i | ||||
\(549\) | −1.10761 | − | 1.84738i | −0.0472718 | − | 0.0788443i | ||||
\(550\) | 3.59265 | + | 2.07422i | 0.153191 | + | 0.0884450i | ||||
\(551\) | 10.1141 | − | 10.1141i | 0.430877 | − | 0.430877i | ||||
\(552\) | 22.4747 | − | 86.7317i | 0.956585 | − | 3.69155i | ||||
\(553\) | 11.8607 | − | 21.5122i | 0.504368 | − | 0.914790i | ||||
\(554\) | −7.18687 | + | 26.8218i | −0.305341 | + | 1.13955i | ||||
\(555\) | −10.8089 | − | 6.12219i | −0.458810 | − | 0.259872i | ||||
\(556\) | −6.27504 | + | 3.62290i | −0.266121 | + | 0.153645i | ||||
\(557\) | −18.9013 | + | 5.06458i | −0.800872 | + | 0.214593i | −0.635967 | − | 0.771716i | \(-0.719399\pi\) |
−0.164905 | + | 0.986309i | \(0.552732\pi\) | |||||||
\(558\) | 23.0984 | + | 38.5258i | 0.977835 | + | 1.63093i | ||||
\(559\) | −20.9505 | − | 16.2125i | −0.886111 | − | 0.685717i | ||||
\(560\) | −21.4022 | − | 5.28463i | −0.904407 | − | 0.223316i | ||||
\(561\) | 0.840180 | − | 0.232569i | 0.0354724 | − | 0.00981909i | ||||
\(562\) | 17.5137 | − | 30.3346i | 0.738771 | − | 1.27959i | ||||
\(563\) | −31.3794 | −1.32249 | −0.661243 | − | 0.750172i | \(-0.729971\pi\) | ||||
−0.661243 | + | 0.750172i | \(0.729971\pi\) | |||||||
\(564\) | 1.60782 | + | 5.80842i | 0.0677016 | + | 0.244579i | ||||
\(565\) | 10.8005 | + | 10.8005i | 0.454380 | + | 0.454380i | ||||
\(566\) | 42.3731 | + | 42.3731i | 1.78107 | + | 1.78107i | ||||
\(567\) | −12.9759 | − | 19.9656i | −0.544935 | − | 0.838478i | ||||
\(568\) | −88.5293 | −3.71461 | ||||||||
\(569\) | −25.7916 | −1.08124 | −0.540620 | − | 0.841267i | \(-0.681810\pi\) | ||||
−0.540620 | + | 0.841267i | \(0.681810\pi\) | |||||||
\(570\) | 2.40601 | + | 8.69195i | 0.100777 | + | 0.364066i | ||||
\(571\) | − | 9.45861i | − | 0.395831i | −0.980219 | − | 0.197915i | \(-0.936583\pi\) | ||
0.980219 | − | 0.197915i | \(-0.0634171\pi\) | |||||||
\(572\) | 5.99055 | + | 2.51014i | 0.250477 | + | 0.104954i | ||||
\(573\) | −4.04213 | − | 2.28948i | −0.168862 | − | 0.0956444i | ||||
\(574\) | −0.315481 | − | 15.9949i | −0.0131679 | − | 0.667613i | ||||
\(575\) | 29.7867i | 1.24219i | ||||||||
\(576\) | 20.5352 | − | 12.3120i | 0.855632 | − | 0.513001i | ||||
\(577\) | 34.4371 | − | 9.22740i | 1.43364 | − | 0.384142i | 0.543336 | − | 0.839515i | \(-0.317161\pi\) |
0.890301 | + | 0.455373i | \(0.150494\pi\) | |||||||
\(578\) | 38.3151 | + | 10.2665i | 1.59370 | + | 0.427031i | ||||
\(579\) | 4.81927 | + | 17.4101i | 0.200282 | + | 0.723539i | ||||
\(580\) | −24.9464 | − | 6.68436i | −1.03584 | − | 0.277553i | ||||
\(581\) | −7.90856 | − | 1.95278i | −0.328102 | − | 0.0810151i | ||||
\(582\) | 25.4325 | + | 43.2230i | 1.05421 | + | 1.79165i | ||||
\(583\) | −2.70217 | + | 2.70217i | −0.111912 | + | 0.111912i | ||||
\(584\) | −31.9117 | + | 55.2727i | −1.32051 | + | 2.28720i | ||||
\(585\) | −7.33730 | + | 5.77609i | −0.303360 | + | 0.238812i | ||||
\(586\) | −8.05746 | − | 13.9559i | −0.332851 | − | 0.576514i | ||||
\(587\) | −5.58326 | − | 20.8370i | −0.230446 | − | 0.860035i | −0.980149 | − | 0.198261i | \(-0.936471\pi\) |
0.749704 | − | 0.661774i | \(-0.230196\pi\) | |||||||
\(588\) | 2.79043 | + | 58.4666i | 0.115075 | + | 2.41112i | ||||
\(589\) | −11.4550 | + | 6.61353i | −0.471994 | + | 0.272506i | ||||
\(590\) | −5.85412 | − | 21.8479i | −0.241010 | − | 0.899463i | ||||
\(591\) | 6.56638 | + | 23.7217i | 0.270105 | + | 0.975780i | ||||
\(592\) | −77.4493 | − | 20.7525i | −3.18315 | − | 0.852921i | ||||
\(593\) | 5.28252 | − | 19.7146i | 0.216927 | − | 0.809582i | −0.768552 | − | 0.639787i | \(-0.779023\pi\) |
0.985479 | − | 0.169795i | \(-0.0543107\pi\) | |||||||
\(594\) | −2.64097 | − | 4.32359i | −0.108360 | − | 0.177399i | ||||
\(595\) | 2.13515 | − | 2.22107i | 0.0875325 | − | 0.0910550i | ||||
\(596\) | 79.3595 | − | 21.2643i | 3.25069 | − | 0.871020i | ||||
\(597\) | −32.9046 | + | 19.3611i | −1.34670 | + | 0.792397i | ||||
\(598\) | 8.34143 | + | 65.4277i | 0.341106 | + | 2.67554i | ||||
\(599\) | − | 21.3744i | − | 0.873334i | −0.899623 | − | 0.436667i | \(-0.856159\pi\) | ||
0.899623 | − | 0.436667i | \(-0.143841\pi\) | |||||||
\(600\) | −38.1839 | + | 38.8191i | −1.55885 | + | 1.58478i | ||||
\(601\) | 5.44082 | − | 9.42377i | 0.221936 | − | 0.384404i | −0.733460 | − | 0.679732i | \(-0.762096\pi\) |
0.955396 | + | 0.295329i | \(0.0954292\pi\) | |||||||
\(602\) | 12.1764 | − | 49.3130i | 0.496272 | − | 2.00985i | ||||
\(603\) | 6.69840 | − | 26.7567i | 0.272780 | − | 1.08962i | ||||
\(604\) | 23.5931 | − | 88.0505i | 0.959988 | − | 3.58273i | ||||
\(605\) | 2.42672 | − | 9.05665i | 0.0986603 | − | 0.368205i | ||||
\(606\) | −11.4871 | + | 11.6782i | −0.466633 | + | 0.474395i | ||||
\(607\) | 6.26317 | − | 10.8481i | 0.254214 | − | 0.440312i | −0.710468 | − | 0.703730i | \(-0.751517\pi\) |
0.964682 | + | 0.263418i | \(0.0848499\pi\) | |||||||
\(608\) | 12.0512 | + | 20.8733i | 0.488740 | + | 0.846523i | ||||
\(609\) | 0.794131 | + | 28.3855i | 0.0321798 | + | 1.15024i | ||||
\(610\) | −1.40266 | − | 0.809826i | −0.0567920 | − | 0.0327889i | ||||
\(611\) | −1.57354 | − | 2.06815i | −0.0636587 | − | 0.0836685i | ||||
\(612\) | 0.322247 | + | 19.5331i | 0.0130261 | + | 0.789581i | ||||
\(613\) | 43.1965 | − | 11.5745i | 1.74469 | − | 0.467488i | 0.761209 | − | 0.648506i | \(-0.224606\pi\) |
0.983480 | + | 0.181018i | \(0.0579392\pi\) | |||||||
\(614\) | − | 75.9734i | − | 3.06604i | ||||||
\(615\) | 3.01079 | + | 1.70533i | 0.121407 | + | 0.0687654i | ||||
\(616\) | 0.143850 | + | 7.29320i | 0.00579590 | + | 0.293852i | ||||
\(617\) | −3.04953 | − | 0.817118i | −0.122769 | − | 0.0328959i | 0.196911 | − | 0.980421i | \(-0.436909\pi\) |
−0.319681 | + | 0.947525i | \(0.603576\pi\) | |||||||
\(618\) | −5.09574 | + | 19.6649i | −0.204981 | + | 0.791040i | ||||
\(619\) | −7.19248 | − | 1.92722i | −0.289090 | − | 0.0774615i | 0.111360 | − | 0.993780i | \(-0.464479\pi\) |
−0.400450 | + | 0.916319i | \(0.631146\pi\) | |||||||
\(620\) | 20.6830 | + | 11.9413i | 0.830650 | + | 0.479576i | ||||
\(621\) | 17.4038 | − | 31.9443i | 0.698391 | − | 1.28188i | ||||
\(622\) | −41.8582 | + | 41.8582i | −1.67836 | + | 1.67836i | ||||
\(623\) | −20.6274 | − | 19.8294i | −0.826418 | − | 0.794448i | ||||
\(624\) | −36.4934 | + | 47.9706i | −1.46091 | + | 1.92036i | ||||
\(625\) | 7.18804 | − | 12.4500i | 0.287522 | − | 0.498002i | ||||
\(626\) | −53.5561 | + | 53.5561i | −2.14053 | + | 2.14053i | ||||
\(627\) | 1.28578 | − | 0.756555i | 0.0513492 | − | 0.0302139i | ||||
\(628\) | − | 1.82928i | − | 0.0729961i | ||||||
\(629\) | 7.92370 | − | 7.92370i | 0.315939 | − | 0.315939i | ||||
\(630\) | −15.8201 | − | 8.38511i | −0.630288 | − | 0.334071i | ||||
\(631\) | 26.6733 | − | 26.6733i | 1.06185 | − | 1.06185i | 0.0638888 | − | 0.997957i | \(-0.479650\pi\) |
0.997957 | − | 0.0638888i | \(-0.0203503\pi\) | |||||||
\(632\) | 48.5102 | + | 48.5102i | 1.92963 | + | 1.92963i | ||||
\(633\) | −9.06335 | + | 0.0747560i | −0.360236 | + | 0.00297128i | ||||
\(634\) | − | 22.5414i | − | 0.895235i | ||||||
\(635\) | −3.44393 | + | 0.922800i | −0.136668 | + | 0.0366202i | ||||
\(636\) | −43.4280 | − | 73.8070i | −1.72203 | − | 2.92664i | ||||
\(637\) | −10.4766 | − | 22.9617i | −0.415096 | − | 0.909777i | ||||
\(638\) | 6.04188i | 0.239200i | ||||||||
\(639\) | −34.8684 | − | 8.72913i | −1.37937 | − | 0.345319i | ||||
\(640\) | −0.0124970 | + | 0.0216455i | −0.000493988 | + | 0.000855613i | ||||
\(641\) | 12.2881 | + | 21.2836i | 0.485351 | + | 0.840652i | 0.999858 | − | 0.0168338i | \(-0.00535863\pi\) |
−0.514508 | + | 0.857486i | \(0.672025\pi\) | |||||||
\(642\) | 27.8720 | + | 27.4159i | 1.10002 | + | 1.08202i | ||||
\(643\) | 2.34274 | − | 8.74324i | 0.0923888 | − | 0.344800i | −0.904222 | − | 0.427063i | \(-0.859548\pi\) |
0.996611 | + | 0.0822634i | \(0.0262149\pi\) | |||||||
\(644\) | −76.5451 | + | 46.2295i | −3.01630 | + | 1.82170i | ||||
\(645\) | 7.83226 | + | 7.70411i | 0.308395 | + | 0.303349i | ||||
\(646\) | −8.13565 | −0.320093 | ||||||||
\(647\) | −9.68039 | + | 16.7669i | −0.380575 | + | 0.659176i | −0.991145 | − | 0.132787i | \(-0.957607\pi\) |
0.610569 | + | 0.791963i | \(0.290941\pi\) | |||||||
\(648\) | 63.6311 | − | 19.3208i | 2.49966 | − | 0.758994i | ||||
\(649\) | −3.24020 | + | 1.87073i | −0.127189 | + | 0.0734325i | ||||
\(650\) | 15.4912 | − | 36.9704i | 0.607616 | − | 1.45010i | ||||
\(651\) | 6.08445 | − | 25.5449i | 0.238469 | − | 1.00118i | ||||
\(652\) | 11.2522 | − | 41.9938i | 0.440671 | − | 1.64461i | ||||
\(653\) | −1.77754 | − | 1.02627i | −0.0695607 | − | 0.0401609i | 0.464816 | − | 0.885407i | \(-0.346120\pi\) |
−0.534377 | + | 0.845246i | \(0.679454\pi\) | |||||||
\(654\) | −28.8147 | − | 48.9712i | −1.12674 | − | 1.91493i | ||||
\(655\) | −2.39273 | + | 8.92979i | −0.0934916 | + | 0.348916i | ||||
\(656\) | 21.5734 | + | 5.78058i | 0.842300 | + | 0.225694i | ||||
\(657\) | −18.0188 | + | 18.6233i | −0.702980 | + | 0.726564i | ||||
\(658\) | 2.40582 | − | 4.36352i | 0.0937886 | − | 0.170108i | ||||
\(659\) | −29.9986 | − | 17.3197i | −1.16858 | − | 0.674679i | −0.215234 | − | 0.976563i | \(-0.569051\pi\) |
−0.953345 | + | 0.301883i | \(0.902385\pi\) | |||||||
\(660\) | −2.34381 | − | 1.32755i | −0.0912329 | − | 0.0516747i | ||||
\(661\) | −19.2556 | + | 19.2556i | −0.748955 | + | 0.748955i | −0.974283 | − | 0.225328i | \(-0.927655\pi\) |
0.225328 | + | 0.974283i | \(0.427655\pi\) | |||||||
\(662\) | −64.9680 | −2.52505 | ||||||||
\(663\) | −3.25589 | − | 7.76895i | −0.126448 | − | 0.301721i | ||||
\(664\) | 11.3749 | − | 19.7019i | 0.441431 | − | 0.764580i | ||||
\(665\) | 2.54559 | − | 4.61704i | 0.0987138 | − | 0.179041i | ||||
\(666\) | −56.9278 | − | 31.6269i | −2.20591 | − | 1.22552i | ||||
\(667\) | −37.5699 | + | 21.6910i | −1.45471 | + | 0.839879i | ||||
\(668\) | 84.9661 | + | 22.7666i | 3.28744 | + | 0.880866i | ||||
\(669\) | 4.31549 | − | 16.6539i | 0.166847 | − | 0.643877i | ||||
\(670\) | −5.36795 | − | 20.0335i | −0.207382 | − | 0.773960i | ||||
\(671\) | −0.0693415 | + | 0.258786i | −0.00267690 | + | 0.00999032i | ||||
\(672\) | −46.5479 | − | 11.0871i | −1.79562 | − | 0.427694i | ||||
\(673\) | 24.4073 | + | 14.0916i | 0.940832 | + | 0.543189i | 0.890221 | − | 0.455529i | \(-0.150550\pi\) |
0.0506108 | + | 0.998718i | \(0.483883\pi\) | |||||||
\(674\) | −7.44827 | + | 27.7973i | −0.286897 | + | 1.07071i | ||||
\(675\) | −18.8668 | + | 11.5244i | −0.726185 | + | 0.443573i | ||||
\(676\) | 16.7393 | − | 60.4870i | 0.643820 | − | 2.32642i | ||||
\(677\) | 0.751004i | 0.0288634i | 0.999896 | + | 0.0144317i | \(0.00459392\pi\) | ||||
−0.999896 | + | 0.0144317i | \(0.995406\pi\) | |||||||
\(678\) | 57.0862 | + | 56.1522i | 2.19238 | + | 2.15651i | ||||
\(679\) | 7.02794 | − | 28.4624i | 0.269707 | − | 1.09229i | ||||
\(680\) | 4.30206 | + | 7.45139i | 0.164977 | + | 0.285748i | ||||
\(681\) | −11.6936 | + | 11.8881i | −0.448098 | + | 0.455552i | ||||
\(682\) | 1.44607 | − | 5.39679i | 0.0553727 | − | 0.206654i | ||||
\(683\) | 39.3309 | − | 10.5387i | 1.50495 | − | 0.403251i | 0.590199 | − | 0.807258i | \(-0.299049\pi\) |
0.914756 | + | 0.404007i | \(0.132383\pi\) | |||||||
\(684\) | 9.18411 | + | 32.1449i | 0.351163 | + | 1.22909i | ||||
\(685\) | 5.27141 | 0.201410 | ||||||||
\(686\) | 32.1360 | − | 36.1827i | 1.22696 | − | 1.38146i | ||||
\(687\) | 45.7749 | + | 11.8616i | 1.74642 | + | 0.452547i | ||||
\(688\) | 61.4120 | + | 35.4562i | 2.34131 | + | 1.35176i | ||||
\(689\) | 29.2024 | + | 22.5983i | 1.11252 | + | 0.860927i | ||||
\(690\) | −0.225610 | − | 27.3527i | −0.00858881 | − | 1.04130i | ||||
\(691\) | −15.3818 | − | 15.3818i | −0.585152 | − | 0.585152i | 0.351162 | − | 0.936315i | \(-0.385787\pi\) |
−0.936315 | + | 0.351162i | \(0.885787\pi\) | |||||||
\(692\) | − | 16.0245i | − | 0.609161i | ||||||
\(693\) | −0.662464 | + | 2.88670i | −0.0251649 | + | 0.109657i | ||||
\(694\) | −57.8541 | − | 57.8541i | −2.19611 | − | 2.19611i | ||||
\(695\) | −0.916202 | + | 0.916202i | −0.0347535 | + | 0.0347535i | ||||
\(696\) | −76.7684 | − | 19.8929i | −2.90990 | − | 0.754037i | ||||
\(697\) | −2.20714 | + | 2.20714i | −0.0836013 | + | 0.0836013i | ||||
\(698\) | 17.3631 | + | 10.0246i | 0.657204 | + | 0.379437i | ||||
\(699\) | −0.584505 | + | 0.00482109i | −0.0221080 | + | 0.000182350i | ||||
\(700\) | 54.3347 | − | 1.07169i | 2.05366 | − | 0.0405062i | ||||
\(701\) | 1.89664 | 0.0716350 | 0.0358175 | − | 0.999358i | \(-0.488597\pi\) | ||||
0.0358175 | + | 0.999358i | \(0.488597\pi\) | |||||||
\(702\) | −38.2145 | + | 30.5972i | −1.44231 | + | 1.15482i | ||||
\(703\) | 9.58812 | − | 16.6071i | 0.361623 | − | 0.626349i | ||||
\(704\) | −2.87662 | − | 0.770788i | −0.108417 | − | 0.0290502i | ||||
\(705\) | 0.546545 | + | 0.928866i | 0.0205841 | + | 0.0349831i | ||||
\(706\) | −16.2681 | + | 9.39240i | −0.612258 | + | 0.353487i | ||||
\(707\) | 9.57423 | − | 0.188841i | 0.360076 | − | 0.00710211i | ||||
\(708\) | −22.3674 | − | 80.8046i | −0.840620 | − | 3.03682i | ||||
\(709\) | 17.5735 | − | 17.5735i | 0.659988 | − | 0.659988i | −0.295389 | − | 0.955377i | \(-0.595449\pi\) |
0.955377 | + | 0.295389i | \(0.0954494\pi\) | |||||||
\(710\) | −26.1069 | + | 6.99533i | −0.979775 | + | 0.262530i | ||||
\(711\) | 14.3232 | + | 23.8895i | 0.537161 | + | 0.895928i | ||||
\(712\) | 69.2021 | − | 39.9538i | 2.59346 | − | 1.49733i | ||||
\(713\) | 38.7501 | − | 10.3831i | 1.45120 | − | 0.388849i | ||||
\(714\) | 11.0970 | − | 11.7358i | 0.415296 | − | 0.439202i | ||||
\(715\) | 1.15091 | + | 0.156316i | 0.0430417 | + | 0.00584587i | ||||
\(716\) | 33.5196 | + | 19.3525i | 1.25269 | + | 0.723239i | ||||
\(717\) | 4.74815 | − | 4.82713i | 0.177323 | − | 0.180273i | ||||
\(718\) | 4.25750 | + | 7.37420i | 0.158888 | + | 0.275203i | ||||
\(719\) | −15.9590 | − | 27.6417i | −0.595168 | − | 1.03086i | −0.993523 | − | 0.113630i | \(-0.963752\pi\) |
0.398355 | − | 0.917231i | \(-0.369581\pi\) | |||||||
\(720\) | 17.3813 | − | 17.9644i | 0.647764 | − | 0.669495i | ||||
\(721\) | 10.1655 | − | 6.13945i | 0.378582 | − | 0.228645i | ||||
\(722\) | 34.5072 | − | 9.24619i | 1.28423 | − | 0.344108i | ||||
\(723\) | 30.9400 | − | 31.4547i | 1.15067 | − | 1.16981i | ||||
\(724\) | −102.677 | −3.81596 | ||||||||
\(725\) | 26.3649 | 0.979169 | ||||||||
\(726\) | 12.3300 | − | 47.5825i | 0.457608 | − | 1.76595i | ||||
\(727\) | −27.0064 | − | 15.5921i | −1.00161 | − | 0.578281i | −0.0928866 | − | 0.995677i | \(-0.529609\pi\) |
−0.908725 | + | 0.417396i | \(0.862943\pi\) | |||||||
\(728\) | 69.7298 | − | 10.2911i | 2.58436 | − | 0.381415i | ||||
\(729\) | 26.9669 | − | 1.33563i | 0.998776 | − | 0.0494677i | ||||
\(730\) | −5.04314 | + | 18.8212i | −0.186655 | + | 0.696605i | ||||
\(731\) | −8.58268 | + | 4.95521i | −0.317442 | + | 0.183275i | ||||
\(732\) | −5.22400 | − | 2.95890i | −0.193085 | − | 0.109364i | ||||
\(733\) | −14.0236 | + | 3.75760i | −0.517972 | + | 0.138790i | −0.508328 | − | 0.861163i | \(-0.669736\pi\) |
−0.00964344 | + | 0.999954i | \(0.503070\pi\) | |||||||
\(734\) | −24.0081 | − | 6.43295i | −0.886155 | − | 0.237445i | ||||
\(735\) | 3.18796 | + | 9.96970i | 0.117590 | + | 0.367738i | ||||
\(736\) | −18.9200 | − | 70.6105i | −0.697401 | − | 2.60274i | ||||
\(737\) | −2.97111 | + | 1.71537i | −0.109442 | + | 0.0631864i | ||||
\(738\) | 15.8572 | + | 8.80963i | 0.583711 | + | 0.324287i | ||||
\(739\) | −3.34230 | − | 12.4736i | −0.122948 | − | 0.458850i | 0.876810 | − | 0.480837i | \(-0.159667\pi\) |
−0.999758 | + | 0.0219876i | \(0.993001\pi\) | |||||||
\(740\) | −34.6245 | −1.27282 | ||||||||
\(741\) | −8.82283 | − | 11.3998i | −0.324115 | − | 0.418780i | ||||
\(742\) | −16.9724 | + | 68.7363i | −0.623076 | + | 2.52339i | ||||
\(743\) | 35.4821 | + | 9.50740i | 1.30171 | + | 0.348793i | 0.842097 | − | 0.539326i | \(-0.181321\pi\) |
0.459615 | + | 0.888118i | \(0.347987\pi\) | |||||||
\(744\) | 63.8106 | + | 36.1427i | 2.33941 | + | 1.32505i | ||||
\(745\) | 12.7235 | − | 7.34590i | 0.466152 | − | 0.269133i | ||||
\(746\) | −4.69722 | − | 17.5303i | −0.171978 | − | 0.641829i | ||||
\(747\) | 6.42277 | − | 6.63824i | 0.234997 | − | 0.242881i | ||||
\(748\) | 1.71819 | − | 1.71819i | 0.0628233 | − | 0.0628233i | ||||
\(749\) | −0.450701 | − | 22.8505i | −0.0164683 | − | 0.834939i | ||||
\(750\) | −17.8210 | + | 31.4633i | −0.650729 | + | 1.14888i | ||||
\(751\) | −31.1434 | − | 17.9806i | −1.13644 | − | 0.656122i | −0.190891 | − | 0.981611i | \(-0.561138\pi\) |
−0.945546 | + | 0.325489i | \(0.894471\pi\) | |||||||
\(752\) | 4.91890 | + | 4.91890i | 0.179374 | + | 0.179374i | ||||
\(753\) | 24.7200 | − | 43.6436i | 0.900845 | − | 1.59046i | ||||
\(754\) | 57.9116 | − | 7.38320i | 2.10902 | − | 0.268880i | ||||
\(755\) | − | 16.3008i | − | 0.593246i | ||||||
\(756\) | −58.8967 | − | 30.5974i | −2.14205 | − | 1.11282i | ||||
\(757\) | −12.9102 | −0.469228 | −0.234614 | − | 0.972089i | \(-0.575383\pi\) | ||||
−0.234614 | + | 0.972089i | \(0.575383\pi\) | |||||||
\(758\) | −7.42688 | −0.269756 | ||||||||
\(759\) | −4.36072 | + | 1.20709i | −0.158284 | + | 0.0438145i | ||||
\(760\) | 10.4115 | + | 10.4115i | 0.377664 | + | 0.377664i | ||||
\(761\) | 47.5699 | − | 12.7463i | 1.72441 | − | 0.462053i | 0.745524 | − | 0.666478i | \(-0.232199\pi\) |
0.978882 | + | 0.204425i | \(0.0655324\pi\) | |||||||
\(762\) | −18.0142 | + | 4.98649i | −0.652585 | + | 0.180642i | ||||
\(763\) | −7.96257 | + | 32.2475i | −0.288264 | + | 1.16744i | ||||
\(764\) | −12.9483 | −0.468454 | ||||||||
\(765\) | 0.959703 | + | 3.35901i | 0.0346981 | + | 0.121445i | ||||
\(766\) | 37.8829 | + | 21.8717i | 1.36877 | + | 0.790257i | ||||
\(767\) | 21.8905 | + | 28.7714i | 0.790421 | + | 1.03887i | ||||
\(768\) | −13.6903 | + | 24.1705i | −0.494005 | + | 0.872177i | ||||
\(769\) | −6.59163 | + | 24.6003i | −0.237700 | + | 0.887109i | 0.739213 | + | 0.673472i | \(0.235198\pi\) |
−0.976913 | + | 0.213637i | \(0.931469\pi\) | |||||||
\(770\) | 0.618708 | + | 2.13937i | 0.0222967 | + | 0.0770975i | ||||
\(771\) | −13.3619 | − | 22.7089i | −0.481218 | − | 0.817841i | ||||
\(772\) | 35.6041 | + | 35.6041i | 1.28142 | + | 1.28142i | ||||
\(773\) | 6.22933 | + | 23.2482i | 0.224053 | + | 0.836179i | 0.982782 | + | 0.184771i | \(0.0591544\pi\) |
−0.758728 | + | 0.651407i | \(0.774179\pi\) | |||||||
\(774\) | 41.3921 | + | 40.0485i | 1.48781 | + | 1.43951i | ||||
\(775\) | −23.5499 | − | 6.31019i | −0.845939 | − | 0.226669i | ||||
\(776\) | 70.9057 | + | 40.9374i | 2.54537 | + | 1.46957i | ||||
\(777\) | 10.8778 | + | 36.4831i | 0.390241 | + | 1.30883i | ||||
\(778\) | 29.0846 | + | 7.79320i | 1.04273 | + | 0.279400i | ||||
\(779\) | −2.67076 | + | 4.62589i | −0.0956899 | + | 0.165740i | ||||
\(780\) | −9.86044 | + | 24.0878i | −0.353061 | + | 0.862482i | ||||
\(781\) | 2.23541 | + | 3.87184i | 0.0799892 | + | 0.138545i | ||||
\(782\) | 23.8343 | + | 6.38637i | 0.852311 | + | 0.228376i | ||||
\(783\) | −28.2747 | − | 15.4045i | −1.01046 | − | 0.550513i | ||||
\(784\) | 36.0613 | + | 57.1319i | 1.28790 | + | 2.04042i | ||||
\(785\) | −0.0846633 | − | 0.315968i | −0.00302176 | − | 0.0112774i | ||||
\(786\) | −12.1573 | + | 46.9160i | −0.433635 | + | 1.67344i | ||||
\(787\) | 1.09832 | − | 1.09832i | 0.0391510 | − | 0.0391510i | −0.687260 | − | 0.726411i | \(-0.741187\pi\) |
0.726411 | + | 0.687260i | \(0.241187\pi\) | |||||||
\(788\) | 48.5115 | + | 48.5115i | 1.72815 | + | 1.72815i | ||||
\(789\) | 0.199483 | + | 24.1852i | 0.00710179 | + | 0.861015i | ||||
\(790\) | 18.1386 | + | 10.4723i | 0.645342 | + | 0.372589i | ||||
\(791\) | −0.923107 | − | 46.8015i | −0.0328219 | − | 1.66407i | ||||
\(792\) | −7.23042 | − | 4.01694i | −0.256922 | − | 0.142736i | ||||
\(793\) | 2.56521 | + | 0.348403i | 0.0910932 | + | 0.0123722i | ||||
\(794\) | −6.79436 | + | 3.92273i | −0.241123 | + | 0.139212i | ||||
\(795\) | −10.9172 | − | 10.7386i | −0.387194 | − | 0.380859i | ||||
\(796\) | −53.2067 | + | 92.1568i | −1.88586 | + | 3.26641i | ||||
\(797\) | −9.98352 | − | 17.2920i | −0.353634 | − | 0.612513i | 0.633249 | − | 0.773948i | \(-0.281721\pi\) |
−0.986883 | + | 0.161435i | \(0.948388\pi\) | |||||||
\(798\) | 13.1451 | − | 24.3139i | 0.465331 | − | 0.860703i | ||||
\(799\) | −0.939067 | + | 0.251622i | −0.0332218 | + | 0.00890176i | ||||
\(800\) | −11.4984 | + | 42.9127i | −0.406531 | + | 1.51719i | ||||
\(801\) | 31.1956 | − | 8.91288i | 1.10224 | − | 0.314921i | ||||
\(802\) | −9.47922 | + | 16.4185i | −0.334723 | + | 0.579757i | ||||
\(803\) | 3.22314 | 0.113742 | ||||||||
\(804\) | −20.5099 | − | 74.0940i | −0.723328 | − | 2.61309i | ||||
\(805\) | −11.0819 | + | 11.5278i | −0.390585 | + | 0.406303i | ||||
\(806\) | −53.4955 | − | 7.26569i | −1.88430 | − | 0.255923i | ||||
\(807\) | −18.8535 | + | 11.0934i | −0.663674 | + | 0.390506i | ||||
\(808\) | −6.92170 | + | 25.8321i | −0.243504 | + | 0.908771i | ||||
\(809\) | 6.24530 | + | 3.60573i | 0.219573 | + | 0.126771i | 0.605753 | − | 0.795653i | \(-0.292872\pi\) |
−0.386180 | + | 0.922424i | \(0.626205\pi\) | |||||||
\(810\) | 17.2379 | − | 10.7256i | 0.605676 | − | 0.376858i | ||||
\(811\) | −6.40799 | − | 6.40799i | −0.225015 | − | 0.225015i | 0.585591 | − | 0.810606i | \(-0.300862\pi\) |
−0.810606 | + | 0.585591i | \(0.800862\pi\) | |||||||
\(812\) | 40.9189 | + | 67.7519i | 1.43597 | + | 2.37763i | ||||
\(813\) | −9.15060 | + | 9.30281i | −0.320926 | + | 0.326264i | ||||
\(814\) | 2.09647 | + | 7.82412i | 0.0734811 | + | 0.274235i | ||||
\(815\) | − | 7.77431i | − | 0.272322i | ||||||
\(816\) | 11.4351 | + | 19.4342i | 0.400309 | + | 0.680334i | ||||
\(817\) | −11.9922 | + | 11.9922i | −0.419553 | + | 0.419553i | ||||
\(818\) | −36.1502 | −1.26396 | ||||||||
\(819\) | 28.4787 | + | 2.82218i | 0.995126 | + | 0.0986148i | ||||
\(820\) | 9.64461 | 0.336804 | ||||||||
\(821\) | −3.85252 | + | 3.85252i | −0.134454 | + | 0.134454i | −0.771131 | − | 0.636677i | \(-0.780309\pi\) |
0.636677 | + | 0.771131i | \(0.280309\pi\) | |||||||
\(822\) | 27.6342 | − | 0.227932i | 0.963854 | − | 0.00795003i | ||||
\(823\) | − | 18.7909i | − | 0.655011i | −0.944849 | − | 0.327506i | \(-0.893792\pi\) | ||
0.944849 | − | 0.327506i | \(-0.106208\pi\) | |||||||
\(824\) | 8.58379 | + | 32.0351i | 0.299031 | + | 1.11600i | ||||
\(825\) | 2.66192 | + | 0.689779i | 0.0926761 | + | 0.0240150i | ||||
\(826\) | −33.4688 | + | 60.7037i | −1.16453 | + | 2.11215i | ||||
\(827\) | −25.3536 | − | 25.3536i | −0.881633 | − | 0.881633i | 0.112068 | − | 0.993701i | \(-0.464253\pi\) |
−0.993701 | + | 0.112068i | \(0.964253\pi\) | |||||||
\(828\) | −1.67253 | − | 101.381i | −0.0581246 | − | 3.52325i | ||||
\(829\) | −36.1811 | − | 20.8892i | −1.25662 | − | 0.725511i | −0.284206 | − | 0.958763i | \(-0.591730\pi\) |
−0.972416 | + | 0.233252i | \(0.925063\pi\) | |||||||
\(830\) | 1.79762 | − | 6.70880i | 0.0623962 | − | 0.232866i | ||||
\(831\) | 0.151813 | + | 18.4056i | 0.00526633 | + | 0.638485i | ||||
\(832\) | −3.87279 | + | 28.5144i | −0.134265 | + | 0.988559i | ||||
\(833\) | −9.43467 | + | 0.372322i | −0.326892 | + | 0.0129002i | ||||
\(834\) | −4.76338 | + | 4.84261i | −0.164942 | + | 0.167686i | ||||
\(835\) | 15.7298 | 0.544351 | ||||||||
\(836\) | 2.07911 | − | 3.60112i | 0.0719075 | − | 0.124547i | ||||
\(837\) | 21.5689 | + | 20.5271i | 0.745530 | + | 0.709519i | ||||
\(838\) | −7.47968 | + | 27.9146i | −0.258381 | + | 0.964292i | ||||
\(839\) | 55.1488 | − | 14.7771i | 1.90395 | − | 0.510161i | 0.908142 | − | 0.418661i | \(-0.137501\pi\) |
0.995805 | − | 0.0914998i | \(-0.0291661\pi\) | |||||||
\(840\) | −29.2200 | + | 0.817476i | −1.00819 | + | 0.0282056i | ||||
\(841\) | 4.69923 | + | 8.13931i | 0.162043 | + | 0.280666i | ||||
\(842\) | 2.74114 | − | 4.74779i | 0.0944659 | − | 0.163620i | ||||
\(843\) | 5.82415 | − | 22.4759i | 0.200595 | − | 0.774113i | ||||
\(844\) | −21.8785 | + | 12.6315i | −0.753088 | + | 0.434795i | ||||
\(845\) | 0.0918690 | − | 11.2226i | 0.00316039 | − | 0.386068i | ||||
\(846\) | 2.90531 | + | 4.84575i | 0.0998866 | + | 0.166600i | ||||
\(847\) | −24.5970 | + | 14.8554i | −0.845162 | + | 0.510437i | ||||
\(848\) | −85.6009 | − | 49.4217i | −2.93955 | − | 1.69715i | ||||
\(849\) | 34.5626 | + | 19.5764i | 1.18619 | + | 0.671861i | ||||
\(850\) | −10.6038 | − | 10.6038i | −0.363706 | − | 0.363706i | ||||
\(851\) | −41.1258 | + | 41.1258i | −1.40977 | + | 1.40977i | ||||
\(852\) | −96.5567 | + | 26.7278i | −3.30798 | + | 0.915678i | ||||
\(853\) | 8.23276 | + | 30.7251i | 0.281884 | + | 1.05201i | 0.951086 | + | 0.308926i | \(0.0999694\pi\) |
−0.669202 | + | 0.743081i | \(0.733364\pi\) | |||||||
\(854\) | 1.37901 | + | 4.76832i | 0.0471886 | + | 0.163169i | ||||
\(855\) | 3.07410 | + | 5.12728i | 0.105132 | + | 0.175349i | ||||
\(856\) | 61.6527 | + | 16.5198i | 2.10724 | + | 0.564634i | ||||
\(857\) | 15.1236 | + | 26.1948i | 0.516612 | + | 0.894799i | 0.999814 | + | 0.0192898i | \(0.00614052\pi\) |
−0.483201 | + | 0.875509i | \(0.660526\pi\) | |||||||
\(858\) | 6.04018 | + | 0.769686i | 0.206208 | + | 0.0262767i | ||||
\(859\) | −11.0904 | + | 19.2092i | −0.378400 | + | 0.655408i | −0.990830 | − | 0.135117i | \(-0.956859\pi\) |
0.612430 | + | 0.790525i | \(0.290192\pi\) | |||||||
\(860\) | 29.5785 | + | 7.92553i | 1.00862 | + | 0.270258i | ||||
\(861\) | −3.03001 | − | 10.1623i | −0.103262 | − | 0.346331i | ||||
\(862\) | 17.9474 | + | 10.3619i | 0.611290 | + | 0.352928i | ||||
\(863\) | 29.2155 | + | 7.82826i | 0.994506 | + | 0.266477i | 0.719142 | − | 0.694863i | \(-0.244535\pi\) |
0.275364 | + | 0.961340i | \(0.411202\pi\) | |||||||
\(864\) | 37.4044 | − | 39.3029i | 1.27252 | − | 1.33711i | ||||
\(865\) | −0.741654 | − | 2.76789i | −0.0252170 | − | 0.0941111i | ||||
\(866\) | −63.3624 | − | 63.3624i | −2.15314 | − | 2.15314i | ||||
\(867\) | 26.2926 | − | 0.216866i | 0.892945 | − | 0.00736515i | ||||
\(868\) | −20.3342 | − | 70.3116i | −0.690188 | − | 2.38653i | ||||
\(869\) | 0.896694 | − | 3.34651i | 0.0304183 | − | 0.113523i | ||||
\(870\) | −24.2105 | + | 0.199692i | −0.820814 | + | 0.00677021i | ||||
\(871\) | 20.0726 | + | 26.3820i | 0.680133 | + | 0.893919i | ||||
\(872\) | −80.3353 | − | 46.3816i | −2.72050 | − | 1.57068i | ||||
\(873\) | 23.8906 | + | 23.1151i | 0.808574 | + | 0.782328i | ||||
\(874\) | 42.2258 | 1.42831 | ||||||||
\(875\) | 20.3064 | − | 5.87264i | 0.686482 | − | 0.198532i | ||||
\(876\) | −18.1180 | + | 69.9189i | −0.612149 | + | 2.36234i | ||||
\(877\) | 3.10947 | − | 0.833179i | 0.104999 | − | 0.0281345i | −0.205937 | − | 0.978565i | \(-0.566024\pi\) |
0.310936 | + | 0.950431i | \(0.399357\pi\) | |||||||
\(878\) | 64.8599 | + | 64.8599i | 2.18892 | + | 2.18892i | ||||
\(879\) | −7.61532 | − | 7.49072i | −0.256858 | − | 0.252656i | ||||
\(880\) | −3.10912 | −0.104808 | ||||||||
\(881\) | 40.1970 | 1.35427 | 0.677135 | − | 0.735858i | \(-0.263221\pi\) | ||||
0.677135 | + | 0.735858i | \(0.263221\pi\) | |||||||
\(882\) | 17.1433 | + | 52.1262i | 0.577245 | + | 1.75518i | ||||
\(883\) | 53.0517i | 1.78533i | 0.450719 | + | 0.892666i | \(0.351168\pi\) | ||||
−0.450719 | + | 0.892666i | \(0.648832\pi\) | |||||||
\(884\) | −18.5686 | − | 14.3693i | −0.624529 | − | 0.483292i | ||||
\(885\) | −7.60333 | − | 12.9220i | −0.255583 | − | 0.434369i | ||||
\(886\) | 74.6469 | + | 74.6469i | 2.50781 | + | 2.50781i | ||||
\(887\) | 30.1750 | + | 17.4215i | 1.01318 | + | 0.584958i | 0.912120 | − | 0.409922i | \(-0.134444\pi\) |
0.101057 | + | 0.994881i | \(0.467777\pi\) | |||||||
\(888\) | −106.316 | + | 0.876913i | −3.56774 | + | 0.0294273i | ||||
\(889\) | 9.56887 | + | 5.27578i | 0.320930 | + | 0.176944i | ||||
\(890\) | 17.2504 | − | 17.2504i | 0.578233 | − | 0.578233i | ||||
\(891\) | −2.45171 | − | 2.29505i | −0.0821355 | − | 0.0768872i | ||||
\(892\) | −12.4110 | − | 46.3185i | −0.415551 | − | 1.55086i | ||||
\(893\) | −1.44080 | + | 0.831846i | −0.0482145 | + | 0.0278367i | ||||
\(894\) | 66.3825 | − | 39.0595i | 2.22016 | − | 1.30634i | ||||
\(895\) | 6.68547 | + | 1.79137i | 0.223471 | + | 0.0598788i | ||||
\(896\) | 0.0735835 | − | 0.0212805i | 0.00245825 | − | 0.000710930i | ||||
\(897\) | 16.8988 | + | 40.3226i | 0.564234 | + | 1.34633i | ||||
\(898\) | −86.4926 | −2.88629 | ||||||||
\(899\) | −9.19030 | − | 34.2987i | −0.306514 | − | 1.14392i | ||||
\(900\) | −29.9264 | + | 53.8670i | −0.997547 | + | 1.79557i | ||||
\(901\) | 11.9632 | − | 6.90696i | 0.398552 | − | 0.230104i | ||||
\(902\) | −0.583968 | − | 2.17940i | −0.0194440 | − | 0.0725660i | ||||
\(903\) | −0.941587 | − | 33.6562i | −0.0313341 | − | 1.12001i | ||||
\(904\) | 126.274 | + | 33.8351i | 4.19983 | + | 1.12534i | ||||
\(905\) | −17.7352 | + | 4.75214i | −0.589539 | + | 0.157967i | ||||
\(906\) | −0.704833 | − | 85.4533i | −0.0234165 | − | 2.83900i | ||||
\(907\) | 48.2909 | − | 27.8808i | 1.60347 | − | 0.925765i | 0.612687 | − | 0.790325i | \(-0.290089\pi\) |
0.990786 | − | 0.135440i | \(-0.0432448\pi\) | |||||||
\(908\) | −12.0296 | + | 44.8952i | −0.399218 | + | 1.48990i | ||||
\(909\) | −5.27328 | + | 9.49181i | −0.174904 | + | 0.314824i | ||||
\(910\) | 19.7499 | − | 8.54466i | 0.654701 | − | 0.283253i | ||||
\(911\) | −27.7741 | − | 16.0354i | −0.920196 | − | 0.531275i | −0.0364981 | − | 0.999334i | \(-0.511620\pi\) |
−0.883697 | + | 0.468059i | \(0.844954\pi\) | |||||||
\(912\) | 27.5095 | + | 27.0594i | 0.910930 | + | 0.896026i | ||||
\(913\) | −1.14888 | −0.0380225 | ||||||||
\(914\) | 16.2893 | 0.538802 | ||||||||
\(915\) | −1.03928 | − | 0.269306i | −0.0343575 | − | 0.00890300i | ||||
\(916\) | 127.311 | − | 34.1129i | 4.20647 | − | 1.12712i | ||||
\(917\) | 24.2524 | − | 14.6473i | 0.800886 | − | 0.483696i | ||||
\(918\) | 5.17628 | + | 17.5674i | 0.170843 | + | 0.579811i | ||||
\(919\) | −7.35852 | − | 12.7453i | −0.242735 | − | 0.420429i | 0.718757 | − | 0.695261i | \(-0.244711\pi\) |
−0.961492 | + | 0.274832i | \(0.911378\pi\) | |||||||
\(920\) | −22.3287 | − | 38.6744i | −0.736155 | − | 1.27506i | ||||
\(921\) | −13.4348 | − | 48.5347i | −0.442693 | − | 1.59927i | ||||
\(922\) | 0.975703 | + | 0.563322i | 0.0321331 | + | 0.0185520i | ||||
\(923\) | 34.3801 | − | 26.1579i | 1.13163 | − | 0.860997i | ||||
\(924\) | 2.35878 | + | 7.91108i | 0.0775980 | + | 0.260255i | ||||
\(925\) | 34.1421 | − | 9.14834i | 1.12258 | − | 0.300796i | ||||
\(926\) | −48.1007 | + | 27.7710i | −1.58069 | + | 0.912611i | ||||
\(927\) | 0.222119 | + | 13.4638i | 0.00729533 | + | 0.442210i | ||||
\(928\) | −62.4990 | + | 16.7466i | −2.05163 | + | 0.549733i | ||||
\(929\) | −36.8995 | + | 36.8995i | −1.21063 | + | 1.21063i | −0.239816 | + | 0.970818i | \(0.577087\pi\) |
−0.970818 | + | 0.239816i | \(0.922913\pi\) | |||||||
\(930\) | 21.6734 | + | 5.61619i | 0.710698 | + | 0.184162i | ||||
\(931\) | −15.4303 | + | 4.79416i | −0.505707 | + | 0.157122i | ||||
\(932\) | −1.41096 | + | 0.814621i | −0.0462177 | + | 0.0266838i | ||||
\(933\) | −19.3386 | + | 34.1427i | −0.633116 | + | 1.11778i | ||||
\(934\) | 81.7686 | + | 21.9098i | 2.67555 | + | 0.716911i | ||||
\(935\) | 0.217259 | − | 0.376303i | 0.00710511 | − | 0.0123064i | ||||
\(936\) | −29.6669 | + | 74.2126i | −0.969694 | + | 2.42571i | ||||
\(937\) | 2.65360 | 0.0866893 | 0.0433447 | − | 0.999060i | \(-0.486199\pi\) | ||||
0.0433447 | + | 0.999060i | \(0.486199\pi\) | |||||||
\(938\) | −30.6893 | + | 55.6624i | −1.00204 | + | 1.81744i | ||||
\(939\) | −24.7430 | + | 43.6843i | −0.807457 | + | 1.42558i | ||||
\(940\) | 2.60150 | + | 1.50198i | 0.0848515 | + | 0.0489890i | ||||
\(941\) | 40.4347 | − | 40.4347i | 1.31813 | − | 1.31813i | 0.402879 | − | 0.915253i | \(-0.368009\pi\) |
0.915253 | − | 0.402879i | \(-0.131991\pi\) | |||||||
\(942\) | −0.457492 | − | 1.65273i | −0.0149059 | − | 0.0538490i | ||||
\(943\) | 11.4555 | − | 11.4555i | 0.373044 | − | 0.373044i | ||||
\(944\) | −68.4299 | − | 68.4299i | −2.22720 | − | 2.22720i | ||||
\(945\) | −11.5893 | − | 2.55916i | −0.376999 | − | 0.0832496i | ||||
\(946\) | − | 7.16375i | − | 0.232914i | ||||||
\(947\) | −5.12157 | − | 5.12157i | −0.166429 | − | 0.166429i | 0.618979 | − | 0.785408i | \(-0.287547\pi\) |
−0.785408 | + | 0.618979i | \(0.787547\pi\) | |||||||
\(948\) | 67.5545 | + | 38.2632i | 2.19407 | + | 1.24273i | ||||
\(949\) | −3.93869 | − | 30.8939i | −0.127855 | − | 1.00286i | ||||
\(950\) | −22.2242 | − | 12.8311i | −0.721048 | − | 0.416297i | ||||
\(951\) | −3.98614 | − | 14.4003i | −0.129259 | − | 0.466962i | ||||
\(952\) | 6.32118 | − | 25.6001i | 0.204871 | − | 0.829703i | ||||
\(953\) | −22.9695 | −0.744056 | −0.372028 | − | 0.928221i | \(-0.621337\pi\) | ||||
−0.372028 | + | 0.928221i | \(0.621337\pi\) | |||||||
\(954\) | −57.6955 | − | 55.8228i | −1.86796 | − | 1.80733i | ||||
\(955\) | −2.23654 | + | 0.599280i | −0.0723728 | + | 0.0193922i | ||||
\(956\) | 4.88462 | − | 18.2296i | 0.157980 | − | 0.589589i | ||||
\(957\) | 1.06842 | + | 3.85978i | 0.0345372 | + | 0.124769i | ||||
\(958\) | 4.74187 | + | 8.21315i | 0.153203 | + | 0.265355i | ||||
\(959\) | −11.6465 | − | 11.1960i | −0.376085 | − | 0.361536i | ||||
\(960\) | 2.99356 | − | 11.5524i | 0.0966169 | − | 0.372853i | ||||
\(961\) | 1.83621i | 0.0592324i | ||||||||
\(962\) | 72.4326 | − | 29.6558i | 2.33532 | − | 0.956142i | ||||
\(963\) | 22.6538 | + | 12.5856i | 0.730008 | + | 0.405564i | ||||
\(964\) | 31.8293 | − | 118.788i | 1.02515 | − | 3.82592i | ||||
\(965\) | 7.79769 | + | 4.50200i | 0.251017 | + | 0.144925i | ||||
\(966\) | −57.5960 | + | 60.9115i | −1.85312 | + | 1.95979i | ||||
\(967\) | −4.33888 | + | 16.1929i | −0.139529 | + | 0.520729i | 0.860409 | + | 0.509604i | \(0.170208\pi\) |
−0.999938 | + | 0.0111253i | \(0.996459\pi\) | |||||||
\(968\) | −20.7699 | − | 77.5142i | −0.667568 | − | 2.49140i | ||||
\(969\) | −5.19736 | + | 1.43868i | −0.166963 | + | 0.0462169i | ||||
\(970\) | 24.1445 | + | 6.46951i | 0.775234 | + | 0.207723i | ||||
\(971\) | 30.1300 | − | 17.3956i | 0.966918 | − | 0.558250i | 0.0686224 | − | 0.997643i | \(-0.478140\pi\) |
0.898295 | + | 0.439393i | \(0.144806\pi\) | |||||||
\(972\) | 63.5676 | − | 40.2835i | 2.03893 | − | 1.29209i | ||||
\(973\) | 3.97015 | − | 0.0783069i | 0.127277 | − | 0.00251040i | ||||
\(974\) | −32.2529 | + | 55.8637i | −1.03345 | + | 1.78999i | ||||
\(975\) | 3.35868 | − | 26.3575i | 0.107564 | − | 0.844116i | ||||
\(976\) | −6.92974 | −0.221816 | ||||||||
\(977\) | −11.5269 | + | 11.5269i | −0.368778 | + | 0.368778i | −0.867031 | − | 0.498253i | \(-0.833975\pi\) |
0.498253 | + | 0.867031i | \(0.333975\pi\) | |||||||
\(978\) | −0.336155 | − | 40.7552i | −0.0107491 | − | 1.30321i | ||||
\(979\) | −3.49477 | − | 2.01771i | −0.111693 | − | 0.0644862i | ||||
\(980\) | 21.4270 | + | 19.8000i | 0.684460 | + | 0.632489i | ||||
\(981\) | −27.0678 | − | 26.1892i | −0.864207 | − | 0.836156i | ||||
\(982\) | 4.50001 | + | 1.20577i | 0.143601 | + | 0.0384778i | ||||
\(983\) | 7.51993 | − | 28.0647i | 0.239848 | − | 0.895126i | −0.736055 | − | 0.676922i | \(-0.763313\pi\) |
0.975903 | − | 0.218204i | \(-0.0700199\pi\) | |||||||
\(984\) | 29.6142 | − | 0.244263i | 0.944068 | − | 0.00778682i | ||||
\(985\) | 10.6246 | + | 6.13409i | 0.338526 | + | 0.195448i | ||||
\(986\) | 5.65273 | − | 21.0963i | 0.180020 | − | 0.671842i | ||||
\(987\) | 0.765299 | − | 3.21302i | 0.0243597 | − | 0.102271i | ||||
\(988\) | −37.0576 | − | 15.5277i | −1.17896 | − | 0.494003i | ||||
\(989\) | 44.5460 | − | 25.7187i | 1.41648 | − | 0.817806i | ||||
\(990\) | −2.44963 | − | 0.613252i | −0.0778543 | − | 0.0194904i | ||||
\(991\) | 19.9231 | − | 34.5078i | 0.632878 | − | 1.09618i | −0.354083 | − | 0.935214i | \(-0.615207\pi\) |
0.986961 | − | 0.160962i | \(-0.0514598\pi\) | |||||||
\(992\) | 59.8342 | 1.89974 | ||||||||
\(993\) | −41.5040 | + | 11.4887i | −1.31709 | + | 0.364582i | ||||
\(994\) | 72.5373 | + | 39.9933i | 2.30074 | + | 1.26851i | ||||
\(995\) | −4.92508 | + | 18.3806i | −0.156135 | + | 0.582705i | ||||
\(996\) | 6.45812 | − | 24.9225i | 0.204633 | − | 0.789699i | ||||
\(997\) | −2.61993 | − | 4.53785i | −0.0829740 | − | 0.143715i | 0.821552 | − | 0.570133i | \(-0.193109\pi\) |
−0.904526 | + | 0.426418i | \(0.859775\pi\) | |||||||
\(998\) | −54.8186 | + | 94.9485i | −1.73525 | + | 3.00554i | ||||
\(999\) | −41.9604 | − | 10.1376i | −1.32757 | − | 0.320738i |
(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 | 819.2.ev.a.515.104 | yes | 432 | |
7.2 | even | 3 | 819.2.fx.a.632.5 | yes | 432 | ||
9.5 | odd | 6 | 819.2.fx.a.788.5 | yes | 432 | ||
13.5 | odd | 4 | inner | 819.2.ev.a.200.5 | yes | 432 | |
63.23 | odd | 6 | inner | 819.2.ev.a.86.5 | ✓ | 432 | |
91.44 | odd | 12 | 819.2.fx.a.317.5 | yes | 432 | ||
117.5 | even | 12 | 819.2.fx.a.473.5 | yes | 432 | ||
819.590 | even | 12 | inner | 819.2.ev.a.590.104 | yes | 432 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
819.2.ev.a.86.5 | ✓ | 432 | 63.23 | odd | 6 | inner | |
819.2.ev.a.200.5 | yes | 432 | 13.5 | odd | 4 | inner | |
819.2.ev.a.515.104 | yes | 432 | 1.1 | even | 1 | trivial | |
819.2.ev.a.590.104 | yes | 432 | 819.590 | even | 12 | inner | |
819.2.fx.a.317.5 | yes | 432 | 91.44 | odd | 12 | ||
819.2.fx.a.473.5 | yes | 432 | 117.5 | even | 12 | ||
819.2.fx.a.632.5 | yes | 432 | 7.2 | even | 3 | ||
819.2.fx.a.788.5 | yes | 432 | 9.5 | odd | 6 |