Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [29,3,Mod(2,29)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(29, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("29.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 29 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 29.f (of order \(28\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.790192766645\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{28})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 2.2 | ||
Character | \(\chi\) | \(=\) | 29.2 |
Dual form | 29.3.f.a.15.2 |
$q$-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 \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{28}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.68783 | − | 0.190173i | −0.843915 | − | 0.0950863i | −0.320588 | − | 0.947219i | \(-0.603881\pi\) |
−0.523326 | + | 0.852132i | \(0.675309\pi\) | |||||||
\(3\) | −3.78594 | − | 2.37886i | −1.26198 | − | 0.792954i | −0.276216 | − | 0.961096i | \(-0.589080\pi\) |
−0.985763 | + | 0.168142i | \(0.946223\pi\) | |||||||
\(4\) | −1.08711 | − | 0.248126i | −0.271777 | − | 0.0620314i | ||||
\(5\) | 0.141728 | − | 0.113024i | 0.0283456 | − | 0.0226049i | −0.609215 | − | 0.793005i | \(-0.708515\pi\) |
0.637560 | + | 0.770401i | \(0.279944\pi\) | |||||||
\(6\) | 5.93762 | + | 4.73509i | 0.989603 | + | 0.789182i | ||||
\(7\) | −1.55116 | − | 6.79606i | −0.221594 | − | 0.970865i | −0.956279 | − | 0.292457i | \(-0.905527\pi\) |
0.734685 | − | 0.678408i | \(-0.237330\pi\) | |||||||
\(8\) | 8.20045 | + | 2.86946i | 1.02506 | + | 0.358683i | ||||
\(9\) | 4.76938 | + | 9.90371i | 0.529931 | + | 1.10041i | ||||
\(10\) | −0.260707 | + | 0.163813i | −0.0260707 | + | 0.0163813i | ||||
\(11\) | −12.2566 | + | 4.28875i | −1.11423 | + | 0.389887i | −0.823727 | − | 0.566987i | \(-0.808109\pi\) |
−0.290505 | + | 0.956873i | \(0.593823\pi\) | |||||||
\(12\) | 3.52547 | + | 3.52547i | 0.293789 | + | 0.293789i | ||||
\(13\) | 9.66173 | − | 20.0628i | 0.743210 | − | 1.54329i | −0.0934833 | − | 0.995621i | \(-0.529800\pi\) |
0.836694 | − | 0.547671i | \(-0.184486\pi\) | |||||||
\(14\) | 1.32566 | + | 11.7656i | 0.0946901 | + | 0.840398i | ||||
\(15\) | −0.805444 | + | 0.0907517i | −0.0536962 | + | 0.00605011i | ||||
\(16\) | −9.27670 | − | 4.46742i | −0.579794 | − | 0.279214i | ||||
\(17\) | −5.90660 | + | 5.90660i | −0.347447 | + | 0.347447i | −0.859158 | − | 0.511711i | \(-0.829012\pi\) |
0.511711 | + | 0.859158i | \(0.329012\pi\) | |||||||
\(18\) | −6.16648 | − | 17.6228i | −0.342582 | − | 0.979043i | ||||
\(19\) | −10.7431 | − | 17.0975i | −0.565425 | − | 0.899868i | 0.434575 | − | 0.900636i | \(-0.356899\pi\) |
−1.00000 | 0.000767373i | \(0.999756\pi\) | ||||||||
\(20\) | −0.182118 | + | 0.0877036i | −0.00910592 | + | 0.00438518i | ||||
\(21\) | −10.2943 | + | 29.4194i | −0.490205 | + | 1.40093i | ||||
\(22\) | 21.5026 | − | 4.90782i | 0.977390 | − | 0.223083i | ||||
\(23\) | 15.0384 | − | 18.8575i | 0.653843 | − | 0.819893i | −0.338814 | − | 0.940853i | \(-0.610026\pi\) |
0.992657 | + | 0.120960i | \(0.0385973\pi\) | |||||||
\(24\) | −24.2203 | − | 30.3713i | −1.00918 | − | 1.26547i | ||||
\(25\) | −5.55571 | + | 24.3412i | −0.222228 | + | 0.973646i | ||||
\(26\) | −20.1228 | + | 32.0252i | −0.773952 | + | 1.23174i | ||||
\(27\) | 0.997389 | − | 8.85208i | 0.0369403 | − | 0.327855i | ||||
\(28\) | 7.77294i | 0.277605i | ||||||||
\(29\) | 28.5764 | + | 4.93832i | 0.985395 | + | 0.170287i | ||||
\(30\) | 1.37671 | 0.0458903 | ||||||||
\(31\) | 35.5909 | + | 4.01014i | 1.14809 | + | 0.129359i | 0.665440 | − | 0.746451i | \(-0.268244\pi\) |
0.482655 | + | 0.875811i | \(0.339673\pi\) | |||||||
\(32\) | −14.6174 | − | 9.18473i | −0.456794 | − | 0.287023i | ||||
\(33\) | 56.6049 | + | 12.9197i | 1.71530 | + | 0.391506i | ||||
\(34\) | 11.0926 | − | 8.84605i | 0.326253 | − | 0.260178i | ||||
\(35\) | −0.987964 | − | 0.787875i | −0.0282275 | − | 0.0225107i | ||||
\(36\) | −2.72747 | − | 11.9498i | −0.0757631 | − | 0.331940i | ||||
\(37\) | −23.0925 | − | 8.08043i | −0.624123 | − | 0.218390i | −0.000355153 | − | 1.00000i | \(-0.500113\pi\) |
−0.623767 | + | 0.781610i | \(0.714399\pi\) | |||||||
\(38\) | 14.8810 | + | 30.9007i | 0.391605 | + | 0.813176i | ||||
\(39\) | −84.3053 | + | 52.9725i | −2.16167 | + | 1.35827i | ||||
\(40\) | 1.48655 | − | 0.520168i | 0.0371639 | − | 0.0130042i | ||||
\(41\) | −14.1288 | − | 14.1288i | −0.344605 | − | 0.344605i | 0.513490 | − | 0.858095i | \(-0.328352\pi\) |
−0.858095 | + | 0.513490i | \(0.828352\pi\) | |||||||
\(42\) | 22.9698 | − | 47.6973i | 0.546900 | − | 1.13565i | ||||
\(43\) | −4.31425 | − | 38.2901i | −0.100331 | − | 0.890466i | −0.938553 | − | 0.345136i | \(-0.887833\pi\) |
0.838221 | − | 0.545330i | \(-0.183596\pi\) | |||||||
\(44\) | 14.3884 | − | 1.62118i | 0.327008 | − | 0.0368450i | ||||
\(45\) | 1.79532 | + | 0.864579i | 0.0398959 | + | 0.0192129i | ||||
\(46\) | −28.9684 | + | 28.9684i | −0.629748 | + | 0.629748i | ||||
\(47\) | 1.53295 | + | 4.38091i | 0.0326159 | + | 0.0932108i | 0.959040 | − | 0.283271i | \(-0.0914195\pi\) |
−0.926424 | + | 0.376482i | \(0.877134\pi\) | |||||||
\(48\) | 24.4936 | + | 38.9814i | 0.510284 | + | 0.812112i | ||||
\(49\) | 0.367152 | − | 0.176811i | 0.00749289 | − | 0.00360839i | ||||
\(50\) | 14.0061 | − | 40.0272i | 0.280122 | − | 0.800544i | ||||
\(51\) | 36.4130 | − | 8.31102i | 0.713980 | − | 0.162961i | ||||
\(52\) | −15.4815 | + | 19.4131i | −0.297720 | + | 0.373330i | ||||
\(53\) | −51.0246 | − | 63.9828i | −0.962728 | − | 1.20722i | −0.978268 | − | 0.207343i | \(-0.933518\pi\) |
0.0155405 | − | 0.999879i | \(-0.495053\pi\) | |||||||
\(54\) | −3.36685 | + | 14.7511i | −0.0623490 | + | 0.273169i | ||||
\(55\) | −1.25237 | + | 1.99313i | −0.0227703 | + | 0.0362387i | ||||
\(56\) | 6.78085 | − | 60.1817i | 0.121087 | − | 1.07467i | ||||
\(57\) | 90.2863i | 1.58397i | ||||||||
\(58\) | −47.2930 | − | 13.7695i | −0.815397 | − | 0.237405i | ||||
\(59\) | 28.0326 | 0.475129 | 0.237564 | − | 0.971372i | \(-0.423651\pi\) | ||||
0.237564 | + | 0.971372i | \(0.423651\pi\) | |||||||
\(60\) | 0.898124 | + | 0.101194i | 0.0149687 | + | 0.00168657i | ||||
\(61\) | −3.26475 | − | 2.05138i | −0.0535205 | − | 0.0336292i | 0.505006 | − | 0.863116i | \(-0.331490\pi\) |
−0.558527 | + | 0.829487i | \(0.688633\pi\) | |||||||
\(62\) | −59.3088 | − | 13.5368i | −0.956594 | − | 0.218336i | ||||
\(63\) | 59.9082 | − | 47.7752i | 0.950923 | − | 0.758336i | ||||
\(64\) | 55.1251 | + | 43.9608i | 0.861329 | + | 0.686887i | ||||
\(65\) | −0.898247 | − | 3.93548i | −0.0138192 | − | 0.0605458i | ||||
\(66\) | −93.0824 | − | 32.5709i | −1.41034 | − | 0.493499i | ||||
\(67\) | −2.88318 | − | 5.98698i | −0.0430325 | − | 0.0893579i | 0.878344 | − | 0.478029i | \(-0.158649\pi\) |
−0.921377 | + | 0.388671i | \(0.872934\pi\) | |||||||
\(68\) | 7.88670 | − | 4.95554i | 0.115981 | − | 0.0728756i | ||||
\(69\) | −101.794 | + | 35.6192i | −1.47527 | + | 0.516221i | ||||
\(70\) | 1.51768 | + | 1.51768i | 0.0216812 | + | 0.0216812i | ||||
\(71\) | −15.5711 | + | 32.3337i | −0.219311 | + | 0.455404i | −0.981376 | − | 0.192096i | \(-0.938471\pi\) |
0.762065 | + | 0.647501i | \(0.224186\pi\) | |||||||
\(72\) | 10.6927 | + | 94.9004i | 0.148510 | + | 1.31806i | ||||
\(73\) | 103.524 | − | 11.6644i | 1.41814 | − | 0.159786i | 0.630626 | − | 0.776087i | \(-0.282798\pi\) |
0.787511 | + | 0.616301i | \(0.211370\pi\) | |||||||
\(74\) | 37.4396 | + | 18.0300i | 0.505940 | + | 0.243648i | ||||
\(75\) | 78.9378 | − | 78.9378i | 1.05250 | − | 1.05250i | ||||
\(76\) | 7.43657 | + | 21.2525i | 0.0978496 | + | 0.279638i | ||||
\(77\) | 48.1585 | + | 76.6437i | 0.625434 | + | 0.995373i | ||||
\(78\) | 152.367 | − | 73.3760i | 1.95342 | − | 0.940718i | ||||
\(79\) | −28.1618 | + | 80.4819i | −0.356479 | + | 1.01876i | 0.616398 | + | 0.787435i | \(0.288591\pi\) |
−0.972877 | + | 0.231323i | \(0.925694\pi\) | |||||||
\(80\) | −1.81970 | + | 0.415334i | −0.0227462 | + | 0.00519168i | ||||
\(81\) | 36.8483 | − | 46.2063i | 0.454918 | − | 0.570449i | ||||
\(82\) | 21.1601 | + | 26.5339i | 0.258050 | + | 0.323584i | ||||
\(83\) | −6.13681 | + | 26.8871i | −0.0739375 | + | 0.323941i | −0.998348 | − | 0.0574578i | \(-0.981701\pi\) |
0.924410 | + | 0.381399i | \(0.124558\pi\) | |||||||
\(84\) | 18.4908 | − | 29.4279i | 0.220128 | − | 0.350332i | ||||
\(85\) | −0.169541 | + | 1.50472i | −0.00199461 | + | 0.0177026i | ||||
\(86\) | 65.4475i | 0.761018i | ||||||||
\(87\) | −96.4410 | − | 86.6755i | −1.10852 | − | 0.996271i | ||||
\(88\) | −112.816 | −1.28200 | ||||||||
\(89\) | 26.8243 | + | 3.02237i | 0.301397 | + | 0.0339592i | 0.261368 | − | 0.965239i | \(-0.415826\pi\) |
0.0400288 | + | 0.999199i | \(0.487255\pi\) | |||||||
\(90\) | −2.86577 | − | 1.80068i | −0.0318419 | − | 0.0200076i | ||||
\(91\) | −151.335 | − | 34.5412i | −1.66302 | − | 0.379573i | ||||
\(92\) | −21.0274 | + | 16.7688i | −0.228559 | + | 0.182270i | ||||
\(93\) | −125.205 | − | 99.8480i | −1.34630 | − | 1.07363i | ||||
\(94\) | −1.75422 | − | 7.68575i | −0.0186619 | − | 0.0817633i | ||||
\(95\) | −3.45503 | − | 1.20897i | −0.0363688 | − | 0.0127260i | ||||
\(96\) | 33.4914 | + | 69.5456i | 0.348869 | + | 0.724433i | ||||
\(97\) | −6.09419 | + | 3.82923i | −0.0628267 | + | 0.0394766i | −0.563079 | − | 0.826403i | \(-0.690383\pi\) |
0.500252 | + | 0.865880i | \(0.333241\pi\) | |||||||
\(98\) | −0.653314 | + | 0.228604i | −0.00666647 | + | 0.00233270i | ||||
\(99\) | −100.931 | − | 100.931i | −1.01950 | − | 1.01950i | ||||
\(100\) | 12.0793 | − | 25.0830i | 0.120793 | − | 0.250830i | ||||
\(101\) | −12.4952 | − | 110.898i | −0.123715 | − | 1.09800i | −0.890148 | − | 0.455672i | \(-0.849399\pi\) |
0.766433 | − | 0.642324i | \(-0.222030\pi\) | |||||||
\(102\) | −63.0394 | + | 7.10284i | −0.618033 | + | 0.0696356i | ||||
\(103\) | 108.481 | + | 52.2416i | 1.05321 | + | 0.507200i | 0.878660 | − | 0.477448i | \(-0.158438\pi\) |
0.174552 | + | 0.984648i | \(0.444152\pi\) | |||||||
\(104\) | 136.800 | − | 136.800i | 1.31538 | − | 1.31538i | ||||
\(105\) | 1.86612 | + | 5.33307i | 0.0177726 | + | 0.0507912i | ||||
\(106\) | 73.9530 | + | 117.696i | 0.697670 | + | 1.11033i | ||||
\(107\) | −127.998 | + | 61.6404i | −1.19624 | + | 0.576079i | −0.922602 | − | 0.385754i | \(-0.873941\pi\) |
−0.273638 | + | 0.961833i | \(0.588227\pi\) | |||||||
\(108\) | −3.28070 | + | 9.37570i | −0.0303768 | + | 0.0868120i | ||||
\(109\) | 30.7554 | − | 7.01972i | 0.282160 | − | 0.0644011i | −0.0790990 | − | 0.996867i | \(-0.525204\pi\) |
0.361259 | + | 0.932466i | \(0.382347\pi\) | |||||||
\(110\) | 2.49282 | − | 3.12590i | 0.0226620 | − | 0.0284172i | ||||
\(111\) | 68.2046 | + | 85.5259i | 0.614456 | + | 0.770504i | ||||
\(112\) | −15.9713 | + | 69.9747i | −0.142601 | + | 0.624774i | ||||
\(113\) | −51.3355 | + | 81.7000i | −0.454297 | + | 0.723009i | −0.992822 | − | 0.119600i | \(-0.961839\pi\) |
0.538526 | + | 0.842609i | \(0.318982\pi\) | |||||||
\(114\) | 17.1700 | − | 152.388i | 0.150614 | − | 1.33674i | ||||
\(115\) | − | 4.37235i | − | 0.0380205i | ||||||
\(116\) | −29.8404 | − | 12.4590i | −0.257245 | − | 0.107406i | ||||
\(117\) | 244.777 | 2.09211 | ||||||||
\(118\) | −47.3143 | − | 5.33104i | −0.400968 | − | 0.0451783i | ||||
\(119\) | 49.3036 | + | 30.9795i | 0.414316 | + | 0.260332i | ||||
\(120\) | −6.86541 | − | 1.56698i | −0.0572117 | − | 0.0130582i | ||||
\(121\) | 37.2281 | − | 29.6884i | 0.307671 | − | 0.245359i | ||||
\(122\) | 5.12023 | + | 4.08324i | 0.0419691 | + | 0.0334692i | ||||
\(123\) | 19.8803 | + | 87.1012i | 0.161628 | + | 0.708140i | ||||
\(124\) | −37.6962 | − | 13.1905i | −0.304002 | − | 0.106375i | ||||
\(125\) | 3.93008 | + | 8.16089i | 0.0314406 | + | 0.0652871i | ||||
\(126\) | −110.200 | + | 69.2434i | −0.874605 | + | 0.549551i | ||||
\(127\) | 95.5607 | − | 33.4381i | 0.752446 | − | 0.263292i | 0.0733147 | − | 0.997309i | \(-0.476642\pi\) |
0.679132 | + | 0.734017i | \(0.262357\pi\) | |||||||
\(128\) | −35.8531 | − | 35.8531i | −0.280102 | − | 0.280102i | ||||
\(129\) | −74.7533 | + | 155.227i | −0.579483 | + | 1.20331i | ||||
\(130\) | 0.767667 | + | 6.81324i | 0.00590513 | + | 0.0524095i | ||||
\(131\) | 95.6113 | − | 10.7728i | 0.729857 | − | 0.0822352i | 0.260787 | − | 0.965396i | \(-0.416018\pi\) |
0.469070 | + | 0.883161i | \(0.344589\pi\) | |||||||
\(132\) | −58.3300 | − | 28.0903i | −0.441894 | − | 0.212805i | ||||
\(133\) | −99.5314 | + | 99.5314i | −0.748356 | + | 0.748356i | ||||
\(134\) | 3.72775 | + | 10.6533i | 0.0278190 | + | 0.0795022i | ||||
\(135\) | −0.859143 | − | 1.36732i | −0.00636402 | − | 0.0101283i | ||||
\(136\) | −65.3855 | + | 31.4880i | −0.480776 | + | 0.231529i | ||||
\(137\) | 60.7818 | − | 173.704i | 0.443662 | − | 1.26791i | −0.477464 | − | 0.878651i | \(-0.658444\pi\) |
0.921127 | − | 0.389263i | \(-0.127270\pi\) | |||||||
\(138\) | 178.584 | − | 40.7607i | 1.29409 | − | 0.295368i | ||||
\(139\) | 116.483 | − | 146.065i | 0.838009 | − | 1.05083i | −0.159960 | − | 0.987124i | \(-0.551136\pi\) |
0.997969 | − | 0.0637063i | \(-0.0202921\pi\) | |||||||
\(140\) | 0.878533 | + | 1.10165i | 0.00627524 | + | 0.00786890i | ||||
\(141\) | 4.61794 | − | 20.2325i | 0.0327513 | − | 0.143493i | ||||
\(142\) | 32.4303 | − | 51.6126i | 0.228383 | − | 0.363469i | ||||
\(143\) | −32.3752 | + | 287.338i | −0.226400 | + | 2.00935i | ||||
\(144\) | − | 113.181i | − | 0.785976i | ||||||
\(145\) | 4.60824 | − | 2.52994i | 0.0317810 | − | 0.0174479i | ||||
\(146\) | −176.949 | −1.21198 | ||||||||
\(147\) | −1.81062 | − | 0.204008i | −0.0123172 | − | 0.00138781i | ||||
\(148\) | 23.0992 | + | 14.5142i | 0.156075 | + | 0.0980687i | ||||
\(149\) | 112.412 | + | 25.6572i | 0.754440 | + | 0.172196i | 0.582410 | − | 0.812896i | \(-0.302110\pi\) |
0.172031 | + | 0.985092i | \(0.444967\pi\) | |||||||
\(150\) | −148.245 | + | 118.222i | −0.988302 | + | 0.788145i | ||||
\(151\) | −7.95750 | − | 6.34590i | −0.0526987 | − | 0.0420258i | 0.596786 | − | 0.802400i | \(-0.296444\pi\) |
−0.649485 | + | 0.760374i | \(0.725015\pi\) | |||||||
\(152\) | −39.0374 | − | 171.034i | −0.256825 | − | 1.12522i | ||||
\(153\) | −86.6680 | − | 30.3265i | −0.566458 | − | 0.198212i | ||||
\(154\) | −66.7077 | − | 138.520i | −0.433167 | − | 0.899480i | ||||
\(155\) | 5.49748 | − | 3.45430i | 0.0354676 | − | 0.0222858i | ||||
\(156\) | 104.793 | − | 36.6687i | 0.671750 | − | 0.235055i | ||||
\(157\) | −54.2399 | − | 54.2399i | −0.345477 | − | 0.345477i | 0.512945 | − | 0.858422i | \(-0.328555\pi\) |
−0.858422 | + | 0.512945i | \(0.828555\pi\) | |||||||
\(158\) | 62.8378 | − | 130.484i | 0.397708 | − | 0.825849i | ||||
\(159\) | 40.9696 | + | 363.615i | 0.257670 | + | 2.28689i | ||||
\(160\) | −3.10980 | + | 0.350390i | −0.0194363 | + | 0.00218994i | ||||
\(161\) | −151.484 | − | 72.9508i | −0.940894 | − | 0.453111i | ||||
\(162\) | −70.9809 | + | 70.9809i | −0.438154 | + | 0.438154i | ||||
\(163\) | −9.39776 | − | 26.8573i | −0.0576550 | − | 0.164768i | 0.911454 | − | 0.411403i | \(-0.134961\pi\) |
−0.969109 | + | 0.246634i | \(0.920675\pi\) | |||||||
\(164\) | 11.8538 | + | 18.8653i | 0.0722795 | + | 0.115032i | ||||
\(165\) | 9.48275 | − | 4.56665i | 0.0574712 | − | 0.0276767i | ||||
\(166\) | 15.4711 | − | 44.2138i | 0.0931994 | − | 0.266348i | ||||
\(167\) | −41.1889 | + | 9.40109i | −0.246640 | + | 0.0562939i | −0.344053 | − | 0.938950i | \(-0.611800\pi\) |
0.0974137 | + | 0.995244i | \(0.468943\pi\) | |||||||
\(168\) | −168.836 | + | 211.713i | −1.00497 | + | 1.26020i | ||||
\(169\) | −203.797 | − | 255.553i | −1.20590 | − | 1.51215i | ||||
\(170\) | 0.572314 | − | 2.50747i | 0.00336655 | − | 0.0147498i | ||||
\(171\) | 118.091 | − | 187.941i | 0.690590 | − | 1.09907i | ||||
\(172\) | −4.81068 | + | 42.6960i | −0.0279691 | + | 0.248232i | ||||
\(173\) | − | 127.036i | − | 0.734309i | −0.930160 | − | 0.367155i | \(-0.880332\pi\) | ||
0.930160 | − | 0.367155i | \(-0.119668\pi\) | |||||||
\(174\) | 146.293 | + | 164.634i | 0.840762 | + | 0.946172i | ||||
\(175\) | 174.042 | 0.994524 | ||||||||
\(176\) | 132.860 | + | 14.9697i | 0.754887 | + | 0.0850553i | ||||
\(177\) | −106.130 | − | 66.6857i | −0.599603 | − | 0.376755i | ||||
\(178\) | −44.7001 | − | 10.2025i | −0.251124 | − | 0.0573174i | ||||
\(179\) | −114.042 | + | 90.9455i | −0.637106 | + | 0.508075i | −0.887943 | − | 0.459954i | \(-0.847866\pi\) |
0.250836 | + | 0.968030i | \(0.419294\pi\) | |||||||
\(180\) | −1.73718 | − | 1.38536i | −0.00965102 | − | 0.00769643i | ||||
\(181\) | 48.4132 | + | 212.112i | 0.267476 | + | 1.17189i | 0.912938 | + | 0.408098i | \(0.133808\pi\) |
−0.645462 | + | 0.763792i | \(0.723335\pi\) | |||||||
\(182\) | 248.859 | + | 87.0794i | 1.36735 | + | 0.478458i | ||||
\(183\) | 7.48019 | + | 15.5328i | 0.0408754 | + | 0.0848786i | ||||
\(184\) | 177.433 | − | 111.488i | 0.964307 | − | 0.605914i | ||||
\(185\) | −4.18615 | + | 1.46480i | −0.0226278 | + | 0.00791782i | ||||
\(186\) | 192.337 | + | 192.337i | 1.03407 | + | 1.03407i | ||||
\(187\) | 47.0626 | − | 97.7265i | 0.251672 | − | 0.522602i | ||||
\(188\) | −0.579465 | − | 5.14289i | −0.00308226 | − | 0.0273558i | ||||
\(189\) | −61.7063 | + | 6.95263i | −0.326489 | + | 0.0367864i | ||||
\(190\) | 5.60159 | + | 2.69758i | 0.0294821 | + | 0.0141978i | ||||
\(191\) | −140.809 | + | 140.809i | −0.737221 | + | 0.737221i | −0.972039 | − | 0.234818i | \(-0.924550\pi\) |
0.234818 | + | 0.972039i | \(0.424550\pi\) | |||||||
\(192\) | −104.123 | − | 297.568i | −0.542310 | − | 1.54983i | ||||
\(193\) | −170.596 | − | 271.502i | −0.883916 | − | 1.40674i | −0.913349 | − | 0.407177i | \(-0.866513\pi\) |
0.0294336 | − | 0.999567i | \(-0.490630\pi\) | |||||||
\(194\) | 11.0142 | − | 5.30414i | 0.0567740 | − | 0.0273409i | ||||
\(195\) | −5.96125 | + | 17.0363i | −0.0305705 | + | 0.0873655i | ||||
\(196\) | −0.443006 | + | 0.101113i | −0.00226023 | + | 0.000515883i | ||||
\(197\) | −35.3554 | + | 44.3343i | −0.179469 | + | 0.225047i | −0.863426 | − | 0.504475i | \(-0.831686\pi\) |
0.683957 | + | 0.729522i | \(0.260258\pi\) | |||||||
\(198\) | 151.160 | + | 189.548i | 0.763432 | + | 0.957314i | ||||
\(199\) | −6.42619 | + | 28.1550i | −0.0322924 | + | 0.141482i | −0.988504 | − | 0.151193i | \(-0.951688\pi\) |
0.956212 | + | 0.292676i | \(0.0945456\pi\) | |||||||
\(200\) | −115.405 | + | 183.666i | −0.577027 | + | 0.918332i | ||||
\(201\) | −3.32667 | + | 29.5250i | −0.0165506 | + | 0.146890i | ||||
\(202\) | 189.553i | 0.938379i | ||||||||
\(203\) | −10.7654 | − | 201.867i | −0.0530317 | − | 0.994420i | ||||
\(204\) | −41.6471 | −0.204152 | ||||||||
\(205\) | −3.59935 | − | 0.405549i | −0.0175578 | − | 0.00197829i | ||||
\(206\) | −173.162 | − | 108.805i | −0.840593 | − | 0.528179i | ||||
\(207\) | 258.484 | + | 58.9972i | 1.24871 | + | 0.285011i | ||||
\(208\) | −179.258 | + | 142.953i | −0.861817 | + | 0.687276i | ||||
\(209\) | 205.000 | + | 163.482i | 0.980861 | + | 0.782211i | ||||
\(210\) | −2.13549 | − | 9.35620i | −0.0101690 | − | 0.0445533i | ||||
\(211\) | 281.518 | + | 98.5074i | 1.33421 | + | 0.466860i | 0.900759 | − | 0.434318i | \(-0.143011\pi\) |
0.433449 | + | 0.901178i | \(0.357296\pi\) | |||||||
\(212\) | 39.5935 | + | 82.2168i | 0.186762 | + | 0.387815i | ||||
\(213\) | 135.869 | − | 85.3719i | 0.637881 | − | 0.400807i | ||||
\(214\) | 227.761 | − | 79.6969i | 1.06430 | − | 0.372415i | ||||
\(215\) | −4.93917 | − | 4.93917i | −0.0229729 | − | 0.0229729i | ||||
\(216\) | 33.5797 | − | 69.7290i | 0.155462 | − | 0.322819i | ||||
\(217\) | −27.9540 | − | 248.098i | −0.128820 | − | 1.14331i | ||||
\(218\) | −53.2448 | + | 5.99925i | −0.244242 | + | 0.0275195i | ||||
\(219\) | −419.683 | − | 202.109i | −1.91636 | − | 0.922871i | ||||
\(220\) | 1.85601 | − | 1.85601i | 0.00843639 | − | 0.00843639i | ||||
\(221\) | 61.4349 | + | 175.571i | 0.277986 | + | 0.794438i | ||||
\(222\) | −98.8531 | − | 157.324i | −0.445284 | − | 0.708666i | ||||
\(223\) | −61.9105 | + | 29.8145i | −0.277625 | + | 0.133697i | −0.567516 | − | 0.823363i | \(-0.692095\pi\) |
0.289890 | + | 0.957060i | \(0.406381\pi\) | |||||||
\(224\) | −39.7461 | + | 113.588i | −0.177438 | + | 0.507088i | ||||
\(225\) | −267.565 | + | 61.0700i | −1.18918 | + | 0.271422i | ||||
\(226\) | 102.183 | − | 128.133i | 0.452136 | − | 0.566960i | ||||
\(227\) | 275.667 | + | 345.675i | 1.21439 | + | 1.52280i | 0.784766 | + | 0.619792i | \(0.212783\pi\) |
0.429625 | + | 0.903007i | \(0.358646\pi\) | |||||||
\(228\) | 22.4024 | − | 98.1511i | 0.0982559 | − | 0.430487i | ||||
\(229\) | −48.7472 | + | 77.5808i | −0.212870 | + | 0.338781i | −0.936043 | − | 0.351887i | \(-0.885540\pi\) |
0.723173 | + | 0.690667i | \(0.242683\pi\) | |||||||
\(230\) | −0.831502 | + | 7.37979i | −0.00361523 | + | 0.0320860i | ||||
\(231\) | − | 404.731i | − | 1.75208i | ||||||
\(232\) | 220.169 | + | 122.495i | 0.949006 | + | 0.527997i | ||||
\(233\) | −115.705 | −0.496587 | −0.248294 | − | 0.968685i | \(-0.579870\pi\) | ||||
−0.248294 | + | 0.968685i | \(0.579870\pi\) | |||||||
\(234\) | −413.141 | − | 46.5498i | −1.76556 | − | 0.198931i | ||||
\(235\) | 0.712412 | + | 0.447638i | 0.00303154 | + | 0.00190484i | ||||
\(236\) | −30.4745 | − | 6.95561i | −0.129129 | − | 0.0294729i | ||||
\(237\) | 298.074 | − | 237.706i | 1.25770 | − | 1.00298i | ||||
\(238\) | −77.3247 | − | 61.6644i | −0.324893 | − | 0.259094i | ||||
\(239\) | −39.0003 | − | 170.872i | −0.163181 | − | 0.714944i | −0.988618 | − | 0.150449i | \(-0.951928\pi\) |
0.825436 | − | 0.564495i | \(-0.190929\pi\) | |||||||
\(240\) | 7.87728 | + | 2.75638i | 0.0328220 | + | 0.0114849i | ||||
\(241\) | 1.62503 | + | 3.37442i | 0.00674288 | + | 0.0140017i | 0.904313 | − | 0.426870i | \(-0.140384\pi\) |
−0.897570 | + | 0.440872i | \(0.854669\pi\) | |||||||
\(242\) | −68.4807 | + | 43.0293i | −0.282978 | + | 0.177807i | ||||
\(243\) | −325.098 | + | 113.757i | −1.33785 | + | 0.468134i | ||||
\(244\) | 3.04014 | + | 3.04014i | 0.0124596 | + | 0.0124596i | ||||
\(245\) | 0.0320518 | − | 0.0665563i | 0.000130824 | − | 0.000271658i | ||||
\(246\) | −16.9902 | − | 150.793i | −0.0690660 | − | 0.612978i | ||||
\(247\) | −446.820 | + | 50.3446i | −1.80899 | + | 0.203824i | ||||
\(248\) | 280.355 | + | 135.012i | 1.13046 | + | 0.544402i | ||||
\(249\) | 87.1944 | − | 87.1944i | 0.350178 | − | 0.350178i | ||||
\(250\) | −5.08132 | − | 14.5216i | −0.0203253 | − | 0.0580863i | ||||
\(251\) | −101.330 | − | 161.266i | −0.403705 | − | 0.642493i | 0.581565 | − | 0.813500i | \(-0.302441\pi\) |
−0.985270 | + | 0.171007i | \(0.945298\pi\) | |||||||
\(252\) | −76.9810 | + | 37.0721i | −0.305480 | + | 0.147112i | ||||
\(253\) | −103.444 | + | 295.625i | −0.408868 | + | 1.16848i | ||||
\(254\) | −167.649 | + | 38.2648i | −0.660036 | + | 0.150649i | ||||
\(255\) | 4.22140 | − | 5.29347i | 0.0165545 | − | 0.0207587i | ||||
\(256\) | −122.148 | − | 153.168i | −0.477139 | − | 0.598313i | ||||
\(257\) | 31.9955 | − | 140.182i | 0.124496 | − | 0.545454i | −0.873756 | − | 0.486364i | \(-0.838323\pi\) |
0.998253 | − | 0.0590900i | \(-0.0188199\pi\) | |||||||
\(258\) | 155.691 | − | 247.780i | 0.603452 | − | 0.960388i | ||||
\(259\) | −19.0949 | + | 169.472i | −0.0737256 | + | 0.654333i | ||||
\(260\) | 4.50117i | 0.0173122i | ||||||||
\(261\) | 87.3842 | + | 306.566i | 0.334805 | + | 1.17458i | ||||
\(262\) | −163.424 | −0.623757 | ||||||||
\(263\) | −14.2134 | − | 1.60147i | −0.0540434 | − | 0.00608923i | 0.0849014 | − | 0.996389i | \(-0.472942\pi\) |
−0.138945 | + | 0.990300i | \(0.544371\pi\) | |||||||
\(264\) | 427.113 | + | 268.373i | 1.61785 | + | 1.01656i | ||||
\(265\) | −14.4632 | − | 3.30114i | −0.0545783 | − | 0.0124571i | ||||
\(266\) | 186.920 | − | 149.064i | 0.702707 | − | 0.560390i | ||||
\(267\) | −94.3653 | − | 75.2538i | −0.353428 | − | 0.281849i | ||||
\(268\) | 1.64881 | + | 7.22389i | 0.00615226 | + | 0.0269548i | ||||
\(269\) | 115.482 | + | 40.4089i | 0.429301 | + | 0.150219i | 0.536276 | − | 0.844043i | \(-0.319831\pi\) |
−0.106975 | + | 0.994262i | \(0.534116\pi\) | |||||||
\(270\) | 1.19006 | + | 2.47119i | 0.00440763 | + | 0.00915254i | ||||
\(271\) | 364.109 | − | 228.785i | 1.34358 | − | 0.844225i | 0.347938 | − | 0.937518i | \(-0.386882\pi\) |
0.995639 | + | 0.0932924i | \(0.0297391\pi\) | |||||||
\(272\) | 81.1810 | − | 28.4065i | 0.298460 | − | 0.104435i | ||||
\(273\) | 490.775 | + | 490.775i | 1.79771 | + | 1.79771i | ||||
\(274\) | −135.623 | + | 281.624i | −0.494975 | + | 1.02783i | ||||
\(275\) | −36.2994 | − | 322.166i | −0.131998 | − | 1.17151i | ||||
\(276\) | 119.499 | − | 13.4643i | 0.432968 | − | 0.0487838i | ||||
\(277\) | 363.232 | + | 174.923i | 1.31131 | + | 0.631492i | 0.953243 | − | 0.302205i | \(-0.0977227\pi\) |
0.358064 | + | 0.933697i | \(0.383437\pi\) | |||||||
\(278\) | −224.381 | + | 224.381i | −0.807127 | + | 0.807127i | ||||
\(279\) | 130.031 | + | 371.608i | 0.466062 | + | 1.33193i | ||||
\(280\) | −5.84097 | − | 9.29585i | −0.0208606 | − | 0.0331995i | ||||
\(281\) | 55.4249 | − | 26.6912i | 0.197242 | − | 0.0949865i | −0.332656 | − | 0.943048i | \(-0.607945\pi\) |
0.529897 | + | 0.848062i | \(0.322230\pi\) | |||||||
\(282\) | −11.6420 | + | 33.2708i | −0.0412835 | + | 0.117982i | ||||
\(283\) | 172.772 | − | 39.4340i | 0.610501 | − | 0.139343i | 0.0939179 | − | 0.995580i | \(-0.470061\pi\) |
0.516583 | + | 0.856237i | \(0.327204\pi\) | |||||||
\(284\) | 24.9503 | − | 31.2867i | 0.0878532 | − | 0.110164i | ||||
\(285\) | 10.2046 | + | 12.7961i | 0.0358055 | + | 0.0448987i | ||||
\(286\) | 109.288 | − | 478.820i | 0.382124 | − | 1.67420i | ||||
\(287\) | −74.1042 | + | 117.936i | −0.258203 | + | 0.410927i | ||||
\(288\) | 21.2470 | − | 188.572i | 0.0737742 | − | 0.654764i | ||||
\(289\) | 219.224i | 0.758561i | ||||||||
\(290\) | −8.25905 | + | 3.39374i | −0.0284795 | + | 0.0117026i | ||||
\(291\) | 32.1814 | 0.110589 | ||||||||
\(292\) | −115.436 | − | 13.0065i | −0.395329 | − | 0.0445429i | ||||
\(293\) | −42.8502 | − | 26.9246i | −0.146246 | − | 0.0918927i | 0.456921 | − | 0.889507i | \(-0.348952\pi\) |
−0.603168 | + | 0.797614i | \(0.706095\pi\) | |||||||
\(294\) | 3.01722 | + | 0.688662i | 0.0102627 | + | 0.00234239i | ||||
\(295\) | 3.97301 | − | 3.16837i | 0.0134678 | − | 0.0107402i | ||||
\(296\) | −166.183 | − | 132.526i | −0.561428 | − | 0.447724i | ||||
\(297\) | 25.7398 | + | 112.774i | 0.0866661 | + | 0.379709i | ||||
\(298\) | −184.852 | − | 64.6826i | −0.620310 | − | 0.217056i | ||||
\(299\) | −233.038 | − | 483.909i | −0.779392 | − | 1.61842i | ||||
\(300\) | −105.401 | + | 66.2276i | −0.351335 | + | 0.220759i | ||||
\(301\) | −253.529 | + | 88.7138i | −0.842290 | + | 0.294730i | ||||
\(302\) | 12.2241 | + | 12.2241i | 0.0404771 | + | 0.0404771i | ||||
\(303\) | −216.504 | + | 449.576i | −0.714536 | + | 1.48375i | ||||
\(304\) | 23.2785 | + | 206.602i | 0.0765739 | + | 0.679612i | ||||
\(305\) | −0.694563 | + | 0.0782585i | −0.00227726 | + | 0.000256585i | ||||
\(306\) | 140.514 | + | 67.6678i | 0.459195 | + | 0.221137i | ||||
\(307\) | 91.5953 | − | 91.5953i | 0.298356 | − | 0.298356i | −0.542014 | − | 0.840370i | \(-0.682338\pi\) |
0.840370 | + | 0.542014i | \(0.182338\pi\) | |||||||
\(308\) | −33.3362 | − | 95.2695i | −0.108235 | − | 0.309317i | ||||
\(309\) | −286.426 | − | 455.844i | −0.926944 | − | 1.47522i | ||||
\(310\) | −9.93573 | + | 4.78479i | −0.0320507 | + | 0.0154348i | ||||
\(311\) | 161.202 | − | 460.688i | 0.518333 | − | 1.48131i | −0.325936 | − | 0.945392i | \(-0.605680\pi\) |
0.844269 | − | 0.535919i | \(-0.180035\pi\) | |||||||
\(312\) | −843.344 | + | 192.488i | −2.70303 | + | 0.616948i | ||||
\(313\) | −331.292 | + | 415.427i | −1.05844 | + | 1.32724i | −0.115861 | + | 0.993265i | \(0.536963\pi\) |
−0.942581 | + | 0.333979i | \(0.891609\pi\) | |||||||
\(314\) | 81.2328 | + | 101.863i | 0.258703 | + | 0.324403i | ||||
\(315\) | 3.09091 | − | 13.5422i | 0.00981243 | − | 0.0429911i | ||||
\(316\) | 50.5846 | − | 80.5050i | 0.160078 | − | 0.254763i | ||||
\(317\) | 49.7527 | − | 441.567i | 0.156948 | − | 1.39296i | −0.630315 | − | 0.776339i | \(-0.717074\pi\) |
0.787264 | − | 0.616617i | \(-0.211497\pi\) | |||||||
\(318\) | − | 621.512i | − | 1.95444i | ||||||
\(319\) | −371.428 | + | 62.0306i | −1.16435 | + | 0.194453i | ||||
\(320\) | 12.7814 | 0.0399420 | ||||||||
\(321\) | 631.225 | + | 71.1220i | 1.96643 | + | 0.221564i | ||||
\(322\) | 241.806 | + | 151.937i | 0.750949 | + | 0.471853i | ||||
\(323\) | 164.443 | + | 37.5330i | 0.509112 | + | 0.116201i | ||||
\(324\) | −51.5232 | + | 41.0884i | −0.159022 | + | 0.126816i | ||||
\(325\) | 434.674 | + | 346.641i | 1.33746 | + | 1.06659i | ||||
\(326\) | 10.7543 | + | 47.1177i | 0.0329886 | + | 0.144533i | ||||
\(327\) | −133.137 | − | 46.5866i | −0.407146 | − | 0.142467i | ||||
\(328\) | −75.3204 | − | 156.404i | −0.229635 | − | 0.476843i | ||||
\(329\) | 27.3951 | − | 17.2135i | 0.0832677 | − | 0.0523205i | ||||
\(330\) | −16.8737 | + | 5.90437i | −0.0511325 | + | 0.0178920i | ||||
\(331\) | −206.567 | − | 206.567i | −0.624068 | − | 0.624068i | 0.322501 | − | 0.946569i | \(-0.395477\pi\) |
−0.946569 | + | 0.322501i | \(0.895477\pi\) | |||||||
\(332\) | 13.3428 | − | 27.7066i | 0.0401891 | − | 0.0834535i | ||||
\(333\) | −30.1108 | − | 267.240i | −0.0904227 | − | 0.802524i | ||||
\(334\) | 71.3076 | − | 8.03443i | 0.213496 | − | 0.0240552i | ||||
\(335\) | −1.08530 | − | 0.522654i | −0.00323971 | − | 0.00156016i | ||||
\(336\) | 226.926 | − | 226.926i | 0.675375 | − | 0.675375i | ||||
\(337\) | 156.253 | + | 446.546i | 0.463659 | + | 1.32506i | 0.904116 | + | 0.427287i | \(0.140531\pi\) |
−0.440457 | + | 0.897774i | \(0.645184\pi\) | |||||||
\(338\) | 295.375 | + | 470.087i | 0.873891 | + | 1.39079i | ||||
\(339\) | 388.706 | − | 187.191i | 1.14663 | − | 0.552186i | ||||
\(340\) | 0.557670 | − | 1.59373i | 0.00164021 | − | 0.00468744i | ||||
\(341\) | −453.421 | + | 103.490i | −1.32968 | + | 0.303491i | ||||
\(342\) | −235.059 | + | 294.754i | −0.687306 | + | 0.861854i | ||||
\(343\) | −214.737 | − | 269.272i | −0.626055 | − | 0.785049i | ||||
\(344\) | 74.4930 | − | 326.375i | 0.216549 | − | 0.948765i | ||||
\(345\) | −10.4012 | + | 16.5535i | −0.0301485 | + | 0.0479810i | ||||
\(346\) | −24.1587 | + | 214.414i | −0.0698228 | + | 0.619694i | ||||
\(347\) | 511.474i | 1.47399i | 0.675899 | + | 0.736994i | \(0.263755\pi\) | ||||
−0.675899 | + | 0.736994i | \(0.736245\pi\) | |||||||
\(348\) | 83.3355 | + | 118.155i | 0.239470 | + | 0.339527i | ||||
\(349\) | −482.022 | −1.38115 | −0.690576 | − | 0.723260i | \(-0.742643\pi\) | ||||
−0.690576 | + | 0.723260i | \(0.742643\pi\) | |||||||
\(350\) | −293.753 | − | 33.0980i | −0.839293 | − | 0.0945657i | ||||
\(351\) | −167.961 | − | 105.537i | −0.478521 | − | 0.300675i | ||||
\(352\) | 218.550 | + | 49.8827i | 0.620881 | + | 0.141712i | ||||
\(353\) | 190.763 | − | 152.128i | 0.540404 | − | 0.430958i | −0.314869 | − | 0.949135i | \(-0.601961\pi\) |
0.855273 | + | 0.518177i | \(0.173389\pi\) | |||||||
\(354\) | 166.447 | + | 132.737i | 0.470189 | + | 0.374963i | ||||
\(355\) | 1.44764 | + | 6.34252i | 0.00407785 | + | 0.0178662i | ||||
\(356\) | −28.4110 | − | 9.94145i | −0.0798063 | − | 0.0279254i | ||||
\(357\) | −112.964 | − | 234.573i | −0.316427 | − | 0.657067i | ||||
\(358\) | 209.779 | − | 131.813i | 0.585975 | − | 0.368192i | ||||
\(359\) | 569.212 | − | 199.176i | 1.58555 | − | 0.554808i | 0.613522 | − | 0.789677i | \(-0.289752\pi\) |
0.972027 | + | 0.234870i | \(0.0754663\pi\) | |||||||
\(360\) | 12.2415 | + | 12.2415i | 0.0340043 | + | 0.0340043i | ||||
\(361\) | −20.2788 | + | 42.1094i | −0.0561741 | + | 0.116647i | ||||
\(362\) | −41.3753 | − | 367.216i | −0.114296 | − | 1.01441i | ||||
\(363\) | −211.568 | + | 23.8380i | −0.582832 | + | 0.0656694i | ||||
\(364\) | 155.947 | + | 75.1001i | 0.428426 | + | 0.206319i | ||||
\(365\) | 13.3539 | − | 13.3539i | 0.0365861 | − | 0.0365861i | ||||
\(366\) | −9.67138 | − | 27.6392i | −0.0264245 | − | 0.0755170i | ||||
\(367\) | 137.681 | + | 219.118i | 0.375153 | + | 0.597052i | 0.979930 | − | 0.199343i | \(-0.0638807\pi\) |
−0.604777 | + | 0.796395i | \(0.706738\pi\) | |||||||
\(368\) | −223.751 | + | 107.753i | −0.608020 | + | 0.292807i | ||||
\(369\) | 72.5420 | − | 207.313i | 0.196591 | − | 0.561824i | ||||
\(370\) | 7.34407 | − | 1.67624i | 0.0198488 | − | 0.00453037i | ||||
\(371\) | −355.684 | + | 446.013i | −0.958716 | + | 1.20219i | ||||
\(372\) | 111.337 | + | 139.612i | 0.299294 | + | 0.375302i | ||||
\(373\) | −135.641 | + | 594.282i | −0.363649 | + | 1.59325i | 0.380201 | + | 0.924904i | \(0.375855\pi\) |
−0.743850 | + | 0.668347i | \(0.767002\pi\) | |||||||
\(374\) | −98.0185 | + | 155.996i | −0.262082 | + | 0.417101i | ||||
\(375\) | 4.53460 | − | 40.2457i | 0.0120923 | − | 0.107322i | ||||
\(376\) | 40.3241i | 0.107245i | ||||||||
\(377\) | 375.174 | − | 525.611i | 0.995158 | − | 1.39419i | ||||
\(378\) | 105.472 | 0.279026 | ||||||||
\(379\) | −160.764 | − | 18.1138i | −0.424180 | − | 0.0477936i | −0.102706 | − | 0.994712i | \(-0.532750\pi\) |
−0.321475 | + | 0.946918i | \(0.604179\pi\) | |||||||
\(380\) | 3.45602 | + | 2.17156i | 0.00909480 | + | 0.00571464i | ||||
\(381\) | −441.331 | − | 100.731i | −1.15835 | − | 0.264386i | ||||
\(382\) | 264.440 | − | 210.884i | 0.692251 | − | 0.552052i | ||||
\(383\) | −272.105 | − | 216.997i | −0.710458 | − | 0.566571i | 0.200189 | − | 0.979757i | \(-0.435845\pi\) |
−0.910647 | + | 0.413186i | \(0.864416\pi\) | |||||||
\(384\) | 50.4479 | + | 221.027i | 0.131375 | + | 0.575591i | ||||
\(385\) | 15.4880 | + | 5.41950i | 0.0402287 | + | 0.0140766i | ||||
\(386\) | 236.304 | + | 490.691i | 0.612187 | + | 1.27122i | ||||
\(387\) | 358.637 | − | 225.347i | 0.926712 | − | 0.582292i | ||||
\(388\) | 7.57518 | − | 2.65067i | 0.0195237 | − | 0.00683163i | ||||
\(389\) | 254.246 | + | 254.246i | 0.653588 | + | 0.653588i | 0.953855 | − | 0.300267i | \(-0.0970758\pi\) |
−0.300267 | + | 0.953855i | \(0.597076\pi\) | |||||||
\(390\) | 13.3014 | − | 27.6207i | 0.0341062 | − | 0.0708222i | ||||
\(391\) | 22.5582 | + | 200.210i | 0.0576936 | + | 0.512045i | ||||
\(392\) | 3.51816 | − | 0.396401i | 0.00897490 | − | 0.00101123i | ||||
\(393\) | −387.605 | − | 186.661i | −0.986273 | − | 0.474964i | ||||
\(394\) | 68.1051 | − | 68.1051i | 0.172856 | − | 0.172856i | ||||
\(395\) | 5.10510 | + | 14.5895i | 0.0129243 | + | 0.0369355i | ||||
\(396\) | 84.6793 | + | 134.766i | 0.213837 | + | 0.340319i | ||||
\(397\) | 110.601 | − | 53.2627i | 0.278592 | − | 0.134163i | −0.289371 | − | 0.957217i | \(-0.593446\pi\) |
0.567963 | + | 0.823054i | \(0.307732\pi\) | |||||||
\(398\) | 16.2006 | − | 46.2987i | 0.0407051 | − | 0.116328i | ||||
\(399\) | 613.591 | − | 140.048i | 1.53782 | − | 0.350998i | ||||
\(400\) | 160.281 | − | 200.986i | 0.400702 | − | 0.502465i | ||||
\(401\) | 158.554 | + | 198.821i | 0.395398 | + | 0.495813i | 0.939186 | − | 0.343410i | \(-0.111582\pi\) |
−0.543788 | + | 0.839223i | \(0.683010\pi\) | |||||||
\(402\) | 11.2297 | − | 49.2005i | 0.0279346 | − | 0.122389i | ||||
\(403\) | 424.325 | − | 675.309i | 1.05292 | − | 1.67570i | ||||
\(404\) | −13.9329 | + | 123.658i | −0.0344875 | + | 0.306085i | ||||
\(405\) | − | 10.7135i | − | 0.0264531i | ||||||
\(406\) | −20.2194 | + | 342.765i | −0.0498015 | + | 0.844248i | ||||
\(407\) | 317.690 | 0.780565 | ||||||||
\(408\) | 322.451 | + | 36.3315i | 0.790321 | + | 0.0890477i | ||||
\(409\) | −55.7403 | − | 35.0239i | −0.136284 | − | 0.0856331i | 0.462164 | − | 0.886794i | \(-0.347073\pi\) |
−0.598449 | + | 0.801161i | \(0.704216\pi\) | |||||||
\(410\) | 5.99796 | + | 1.36900i | 0.0146292 | + | 0.00333901i | ||||
\(411\) | −643.334 | + | 513.042i | −1.56529 | + | 1.24828i | ||||
\(412\) | −104.968 | − | 83.7092i | −0.254777 | − | 0.203178i | ||||
\(413\) | −43.4830 | − | 190.511i | −0.105286 | − | 0.461286i | ||||
\(414\) | −425.056 | − | 148.734i | −1.02671 | − | 0.359260i | ||||
\(415\) | 2.16915 | + | 4.50428i | 0.00522686 | + | 0.0108537i | ||||
\(416\) | −325.501 | + | 204.526i | −0.782454 | + | 0.491649i | ||||
\(417\) | −788.467 | + | 275.897i | −1.89081 | + | 0.661623i | ||||
\(418\) | −314.915 | − | 314.915i | −0.753386 | − | 0.753386i | ||||
\(419\) | −226.933 | + | 471.231i | −0.541606 | + | 1.12466i | 0.433137 | + | 0.901328i | \(0.357407\pi\) |
−0.974743 | + | 0.223329i | \(0.928308\pi\) | |||||||
\(420\) | −0.705408 | − | 6.26067i | −0.00167954 | − | 0.0149064i | ||||
\(421\) | −192.380 | + | 21.6760i | −0.456960 | + | 0.0514871i | −0.337445 | − | 0.941345i | \(-0.609563\pi\) |
−0.119515 | + | 0.992832i | \(0.538134\pi\) | |||||||
\(422\) | −456.421 | − | 219.801i | −1.08157 | − | 0.520855i | ||||
\(423\) | −36.0761 | + | 36.0761i | −0.0852862 | + | 0.0852862i | ||||
\(424\) | −234.828 | − | 671.100i | −0.553840 | − | 1.58278i | ||||
\(425\) | −110.958 | − | 176.589i | −0.261078 | − | 0.415503i | ||||
\(426\) | −245.558 | + | 118.255i | −0.576428 | + | 0.277593i | ||||
\(427\) | −8.87715 | + | 25.3694i | −0.0207896 | + | 0.0594132i | ||||
\(428\) | 154.442 | − | 35.2504i | 0.360846 | − | 0.0823608i | ||||
\(429\) | 806.107 | − | 1010.83i | 1.87904 | − | 2.35624i | ||||
\(430\) | 7.39717 | + | 9.27576i | 0.0172027 | + | 0.0215715i | ||||
\(431\) | −58.0221 | + | 254.212i | −0.134622 | + | 0.589818i | 0.861943 | + | 0.507005i | \(0.169248\pi\) |
−0.996565 | + | 0.0828129i | \(0.973610\pi\) | |||||||
\(432\) | −48.7984 | + | 77.6623i | −0.112959 | + | 0.179774i | ||||
\(433\) | 6.90278 | − | 61.2639i | 0.0159418 | − | 0.141487i | −0.983220 | − | 0.182424i | \(-0.941606\pi\) |
0.999162 | + | 0.0409369i | \(0.0130343\pi\) | |||||||
\(434\) | 424.064i | 0.977106i | ||||||||
\(435\) | −23.4649 | − | 1.38417i | −0.0539422 | − | 0.00318201i | ||||
\(436\) | −35.1763 | −0.0806795 | ||||||||
\(437\) | −483.975 | − | 54.5309i | −1.10750 | − | 0.124785i | ||||
\(438\) | 669.918 | + | 420.937i | 1.52949 | + | 0.961044i | ||||
\(439\) | −173.225 | − | 39.5375i | −0.394590 | − | 0.0900626i | 0.0206218 | − | 0.999787i | \(-0.493435\pi\) |
−0.415212 | + | 0.909725i | \(0.636293\pi\) | |||||||
\(440\) | −15.9892 | + | 12.7509i | −0.0363390 | + | 0.0289794i | ||||
\(441\) | 3.50217 | + | 2.79289i | 0.00794143 | + | 0.00633308i | ||||
\(442\) | −70.3028 | − | 308.017i | −0.159056 | − | 0.696871i | ||||
\(443\) | 632.160 | + | 221.202i | 1.42700 | + | 0.499328i | 0.929721 | − | 0.368265i | \(-0.120048\pi\) |
0.497276 | + | 0.867592i | \(0.334334\pi\) | |||||||
\(444\) | −52.9248 | − | 109.899i | −0.119200 | − | 0.247521i | ||||
\(445\) | 4.14336 | − | 2.60345i | 0.00931093 | − | 0.00585044i | ||||
\(446\) | 110.164 | − | 38.5481i | 0.247005 | − | 0.0864308i | ||||
\(447\) | −364.548 | − | 364.548i | −0.815544 | − | 0.815544i | ||||
\(448\) | 213.252 | − | 442.823i | 0.476010 | − | 0.988445i | ||||
\(449\) | 28.7774 | + | 255.406i | 0.0640921 | + | 0.568834i | 0.984186 | + | 0.177136i | \(0.0566834\pi\) |
−0.920094 | + | 0.391697i | \(0.871888\pi\) | |||||||
\(450\) | 463.218 | − | 52.1922i | 1.02937 | − | 0.115983i | ||||
\(451\) | 233.765 | + | 112.575i | 0.518327 | + | 0.249613i | ||||
\(452\) | 76.0792 | − | 76.0792i | 0.168317 | − | 0.168317i | ||||
\(453\) | 15.0306 | + | 42.9550i | 0.0331801 | + | 0.0948233i | ||||
\(454\) | −399.541 | − | 635.865i | −0.880045 | − | 1.40058i | ||||
\(455\) | −25.3524 | + | 12.2091i | −0.0557196 | + | 0.0268331i | ||||
\(456\) | −259.073 | + | 740.388i | −0.568142 | + | 1.62366i | ||||
\(457\) | 508.462 | − | 116.053i | 1.11261 | − | 0.253946i | 0.373566 | − | 0.927604i | \(-0.378135\pi\) |
0.739043 | + | 0.673658i | \(0.235278\pi\) | |||||||
\(458\) | 97.0308 | − | 121.673i | 0.211858 | − | 0.265661i | ||||
\(459\) | 46.3945 | + | 58.1768i | 0.101077 | + | 0.126747i | ||||
\(460\) | −1.08489 | + | 4.75323i | −0.00235846 | + | 0.0103331i | ||||
\(461\) | −305.337 | + | 485.941i | −0.662336 | + | 1.05410i | 0.331523 | + | 0.943447i | \(0.392438\pi\) |
−0.993859 | + | 0.110655i | \(0.964705\pi\) | |||||||
\(462\) | −76.9687 | + | 683.116i | −0.166599 | + | 1.47861i | ||||
\(463\) | − | 548.047i | − | 1.18369i | −0.806053 | − | 0.591843i | \(-0.798400\pi\) | ||
0.806053 | − | 0.591843i | \(-0.201600\pi\) | |||||||
\(464\) | −243.033 | − | 173.474i | −0.523779 | − | 0.373867i | ||||
\(465\) | −29.0304 | −0.0624310 | ||||||||
\(466\) | 195.290 | + | 22.0039i | 0.419077 | + | 0.0472187i | ||||
\(467\) | −696.323 | − | 437.528i | −1.49105 | − | 0.936892i | −0.997751 | − | 0.0670350i | \(-0.978646\pi\) |
−0.493304 | − | 0.869857i | \(-0.664211\pi\) | |||||||
\(468\) | −266.099 | − | 60.7354i | −0.568588 | − | 0.129776i | ||||
\(469\) | −36.2156 | + | 28.8810i | −0.0772187 | + | 0.0615799i | ||||
\(470\) | −1.11730 | − | 0.891017i | −0.00237724 | − | 0.00189578i | ||||
\(471\) | 76.3196 | + | 334.378i | 0.162037 | + | 0.709932i | ||||
\(472\) | 229.880 | + | 80.4385i | 0.487034 | + | 0.170420i | ||||
\(473\) | 217.095 | + | 450.801i | 0.458974 | + | 0.953069i | ||||
\(474\) | −548.304 | + | 344.522i | −1.15676 | + | 0.726840i | ||||
\(475\) | 475.858 | − | 166.510i | 1.00181 | − | 0.350547i | ||||
\(476\) | −45.9116 | − | 45.9116i | −0.0964530 | − | 0.0964530i | ||||
\(477\) | 390.312 | − | 810.491i | 0.818264 | − | 1.69914i | ||||
\(478\) | 33.3308 | + | 295.819i | 0.0697297 | + | 0.618868i | ||||
\(479\) | 272.204 | − | 30.6701i | 0.568277 | − | 0.0640294i | 0.176848 | − | 0.984238i | \(-0.443410\pi\) |
0.391428 | + | 0.920209i | \(0.371981\pi\) | |||||||
\(480\) | 12.6070 | + | 6.07123i | 0.0262647 | + | 0.0126484i | ||||
\(481\) | −385.230 | + | 385.230i | −0.800894 | + | 0.800894i | ||||
\(482\) | −2.10106 | − | 6.00448i | −0.00435904 | − | 0.0124574i | ||||
\(483\) | 399.968 | + | 636.546i | 0.828092 | + | 1.31790i | ||||
\(484\) | −47.8375 | + | 23.0373i | −0.0988379 | + | 0.0475978i | ||||
\(485\) | −0.430922 | + | 1.23150i | −0.000888498 | + | 0.00253918i | ||||
\(486\) | 570.343 | − | 130.177i | 1.17354 | − | 0.267854i | ||||
\(487\) | 77.1649 | − | 96.7617i | 0.158449 | − | 0.198689i | −0.696269 | − | 0.717781i | \(-0.745158\pi\) |
0.854719 | + | 0.519091i | \(0.173730\pi\) | |||||||
\(488\) | −20.8861 | − | 26.1903i | −0.0427993 | − | 0.0536686i | ||||
\(489\) | −28.3104 | + | 124.036i | −0.0578944 | + | 0.253652i | ||||
\(490\) | −0.0667551 | + | 0.106240i | −0.000136235 | + | 0.000216817i | ||||
\(491\) | 11.6732 | − | 103.602i | 0.0237743 | − | 0.211002i | −0.976209 | − | 0.216833i | \(-0.930427\pi\) |
0.999983 | + | 0.00583045i | \(0.00185590\pi\) | |||||||
\(492\) | − | 99.6214i | − | 0.202482i | ||||||
\(493\) | −197.958 | + | 139.621i | −0.401538 | + | 0.283207i | ||||
\(494\) | 763.731 | 1.54601 | ||||||||
\(495\) | −25.7124 | − | 2.89709i | −0.0519442 | − | 0.00585271i | ||||
\(496\) | −312.251 | − | 196.201i | −0.629539 | − | 0.395566i | ||||
\(497\) | 243.895 | + | 55.6675i | 0.490734 | + | 0.112007i | ||||
\(498\) | −163.751 | + | 130.587i | −0.328818 | + | 0.262223i | ||||
\(499\) | −276.912 | − | 220.830i | −0.554935 | − | 0.442546i | 0.305437 | − | 0.952212i | \(-0.401197\pi\) |
−0.860372 | + | 0.509666i | \(0.829769\pi\) | |||||||
\(500\) | −2.24750 | − | 9.84694i | −0.00449500 | − | 0.0196939i | ||||
\(501\) | 178.302 | + | 62.3907i | 0.355893 | + | 0.124532i | ||||
\(502\) | 140.359 | + | 291.459i | 0.279600 | + | 0.580596i | ||||
\(503\) | −437.771 | + | 275.070i | −0.870320 | + | 0.546858i | −0.891553 | − | 0.452916i | \(-0.850384\pi\) |
0.0212333 | + | 0.999775i | \(0.493241\pi\) | |||||||
\(504\) | 628.363 | − | 219.874i | 1.24675 | − | 0.436257i | ||||
\(505\) | −14.3051 | − | 14.3051i | −0.0283269 | − | 0.0283269i | ||||
\(506\) | 230.815 | − | 479.292i | 0.456155 | − | 0.947217i | ||||
\(507\) | 163.636 | + | 1452.31i | 0.322754 | + | 2.86452i | ||||
\(508\) | −112.182 | + | 12.6399i | −0.220830 | + | 0.0248816i | ||||
\(509\) | 282.331 | + | 135.964i | 0.554679 | + | 0.267119i | 0.690155 | − | 0.723661i | \(-0.257542\pi\) |
−0.135477 | + | 0.990781i | \(0.543257\pi\) | |||||||
\(510\) | −8.13167 | + | 8.13167i | −0.0159445 | + | 0.0159445i | ||||
\(511\) | −239.853 | − | 685.462i | −0.469381 | − | 1.34141i | ||||
\(512\) | 284.940 | + | 453.480i | 0.556524 | + | 0.885703i | ||||
\(513\) | −162.063 | + | 78.0456i | −0.315913 | + | 0.152136i | ||||
\(514\) | −80.6617 | + | 230.518i | −0.156929 | + | 0.448479i | ||||
\(515\) | 21.2794 | − | 4.85688i | 0.0413192 | − | 0.00943083i | ||||
\(516\) | 119.781 | − | 150.200i | 0.232133 | − | 0.291086i | ||||
\(517\) | −37.5773 | − | 47.1204i | −0.0726833 | − | 0.0911420i | ||||
\(518\) | 64.4580 | − | 282.409i | 0.124436 | − | 0.545191i | ||||
\(519\) | −302.200 | + | 480.948i | −0.582273 | + | 0.926683i | ||||
\(520\) | 3.92667 | − | 34.8502i | 0.00755129 | − | 0.0670195i | ||||
\(521\) | − | 903.060i | − | 1.73332i | −0.498898 | − | 0.866661i | \(-0.666262\pi\) | ||
0.498898 | − | 0.866661i | \(-0.333738\pi\) | |||||||
\(522\) | −89.1892 | − | 534.048i | −0.170860 | − | 1.02308i | ||||
\(523\) | 643.715 | 1.23081 | 0.615407 | − | 0.788210i | \(-0.288992\pi\) | ||||
0.615407 | + | 0.788210i | \(0.288992\pi\) | |||||||
\(524\) | −106.613 | − | 12.0124i | −0.203460 | − | 0.0229244i | ||||
\(525\) | −658.911 | − | 414.021i | −1.25507 | − | 0.788612i | ||||
\(526\) | 23.6853 | + | 5.40601i | 0.0450290 | + | 0.0102776i | ||||
\(527\) | −233.908 | + | 186.535i | −0.443847 | + | 0.353957i | ||||
\(528\) | −467.389 | − | 372.730i | −0.885206 | − | 0.705928i | ||||
\(529\) | −11.7403 | − | 51.4375i | −0.0221934 | − | 0.0972354i | ||||
\(530\) | 23.7837 | + | 8.32228i | 0.0448749 | + | 0.0157024i | ||||
\(531\) | 133.698 | + | 277.627i | 0.251785 | + | 0.522838i | ||||
\(532\) | 132.898 | − | 83.5053i | 0.249808 | − | 0.156965i | ||||
\(533\) | −419.972 | + | 146.955i | −0.787940 | + | 0.275712i | ||||
\(534\) | 144.961 | + | 144.961i | 0.271463 | + | 0.271463i | ||||
\(535\) | −11.1740 | + | 23.2031i | −0.0208860 | + | 0.0433702i | ||||
\(536\) | −6.46394 | − | 57.3690i | −0.0120596 | − | 0.107032i | ||||
\(537\) | 648.103 | − | 73.0236i | 1.20690 | − | 0.135984i | ||||
\(538\) | −187.229 | − | 90.1649i | −0.348010 | − | 0.167593i | ||||
\(539\) | −3.74172 | + | 3.74172i | −0.00694196 | + | 0.00694196i | ||||
\(540\) | 0.594716 | + | 1.69960i | 0.00110133 | + | 0.00314741i | ||||
\(541\) | 63.1537 | + | 100.509i | 0.116735 | + | 0.185783i | 0.899981 | − | 0.435929i | \(-0.143580\pi\) |
−0.783246 | + | 0.621712i | \(0.786437\pi\) | |||||||
\(542\) | −658.063 | + | 316.906i | −1.21414 | + | 0.584698i | ||||
\(543\) | 321.296 | − | 918.211i | 0.591705 | − | 1.69100i | ||||
\(544\) | 140.590 | − | 32.0887i | 0.258437 | − | 0.0589865i | ||||
\(545\) | 3.56551 | − | 4.47101i | 0.00654222 | − | 0.00820368i | ||||
\(546\) | −735.013 | − | 921.677i | −1.34618 | − | 1.68805i | ||||
\(547\) | −141.842 | + | 621.450i | −0.259309 | + | 1.13611i | 0.662684 | + | 0.748899i | \(0.269417\pi\) |
−0.921993 | + | 0.387206i | \(0.873440\pi\) | |||||||
\(548\) | −109.177 | + | 173.754i | −0.199228 | + | 0.317070i | ||||
\(549\) | 4.74544 | − | 42.1170i | 0.00864379 | − | 0.0767158i | ||||
\(550\) | 550.664i | 1.00121i | ||||||||
\(551\) | −222.566 | − | 541.638i | −0.403931 | − | 0.983010i | ||||
\(552\) | −936.963 | −1.69740 | ||||||||
\(553\) | 590.643 | + | 66.5495i | 1.06807 | + | 0.120343i | ||||
\(554\) | −579.808 | − | 364.317i | −1.04658 | − | 0.657613i | ||||
\(555\) | 19.3330 | + | 4.41264i | 0.0348343 | + | 0.00795071i | ||||
\(556\) | −162.873 | + | 129.887i | −0.292936 | + | 0.233609i | ||||
\(557\) | 593.908 | + | 473.626i | 1.06626 | + | 0.850316i | 0.989180 | − | 0.146709i | \(-0.0468680\pi\) |
0.0770829 | + | 0.997025i | \(0.475439\pi\) | |||||||
\(558\) | −148.801 | − | 651.940i | −0.266668 | − | 1.16835i | ||||
\(559\) | −809.889 | − | 283.392i | −1.44882 | − | 0.506963i | ||||
\(560\) | 5.64527 | + | 11.7225i | 0.0100808 | + | 0.0209331i | ||||
\(561\) | −410.654 | + | 258.031i | −0.732003 | + | 0.459948i | ||||
\(562\) | −98.6237 | + | 34.5099i | −0.175487 | + | 0.0614055i | ||||
\(563\) | −443.544 | − | 443.544i | −0.787822 | − | 0.787822i | 0.193315 | − | 0.981137i | \(-0.438076\pi\) |
−0.981137 | + | 0.193315i | \(0.938076\pi\) | |||||||
\(564\) | −10.0404 | + | 20.8491i | −0.0178021 | + | 0.0369665i | ||||
\(565\) | 1.95841 | + | 17.3814i | 0.00346621 | + | 0.0307635i | ||||
\(566\) | −299.109 | + | 33.7014i | −0.528460 | + | 0.0595432i | ||||
\(567\) | −371.179 | − | 178.750i | −0.654636 | − | 0.315256i | ||||
\(568\) | −220.470 | + | 220.470i | −0.388152 | + | 0.388152i | ||||
\(569\) | 92.2750 | + | 263.707i | 0.162170 | + | 0.463456i | 0.996081 | − | 0.0884427i | \(-0.0281890\pi\) |
−0.833911 | + | 0.551899i | \(0.813903\pi\) | |||||||
\(570\) | −14.7901 | − | 23.5383i | −0.0259475 | − | 0.0412953i | ||||
\(571\) | 438.799 | − | 211.315i | 0.768475 | − | 0.370078i | −0.00821061 | − | 0.999966i | \(-0.502614\pi\) |
0.776686 | + | 0.629888i | \(0.216899\pi\) | |||||||
\(572\) | 106.491 | − | 304.334i | 0.186173 | − | 0.532053i | ||||
\(573\) | 868.060 | − | 198.129i | 1.51494 | − | 0.345775i | ||||
\(574\) | 147.503 | − | 184.963i | 0.256975 | − | 0.322236i | ||||
\(575\) | 375.466 | + | 470.819i | 0.652984 | + | 0.818816i | ||||
\(576\) | −172.463 | + | 755.609i | −0.299414 | + | 1.31182i | ||||
\(577\) | 150.219 | − | 239.072i | 0.260345 | − | 0.414336i | −0.690817 | − | 0.723030i | \(-0.742749\pi\) |
0.951161 | + | 0.308694i | \(0.0998918\pi\) | |||||||
\(578\) | 41.6905 | − | 370.013i | 0.0721288 | − | 0.640161i | ||||
\(579\) | 1433.71i | 2.47618i | ||||||||
\(580\) | −5.63741 | + | 1.60690i | −0.00971966 | + | 0.00277052i | ||||
\(581\) | 192.246 | 0.330888 | ||||||||
\(582\) | −54.3167 | − | 6.12003i | −0.0933277 | − | 0.0105155i | ||||
\(583\) | 899.792 | + | 565.377i | 1.54338 | + | 0.969771i | ||||
\(584\) | 882.413 | + | 201.405i | 1.51098 | + | 0.344872i | ||||
\(585\) | 34.6918 | − | 27.6658i | 0.0593022 | − | 0.0472919i | ||||
\(586\) | 67.2035 | + | 53.5930i | 0.114682 | + | 0.0914556i | ||||
\(587\) | 36.9042 | + | 161.688i | 0.0628691 | + | 0.275448i | 0.996586 | − | 0.0825656i | \(-0.0263114\pi\) |
−0.933717 | + | 0.358013i | \(0.883454\pi\) | |||||||
\(588\) | 1.91773 | + | 0.671041i | 0.00326144 | + | 0.00114123i | ||||
\(589\) | −313.793 | − | 651.597i | −0.532755 | − | 1.10628i | ||||
\(590\) | −7.30830 | + | 4.59211i | −0.0123870 | + | 0.00778324i | ||||
\(591\) | 239.319 | − | 83.7412i | 0.404938 | − | 0.141694i | ||||
\(592\) | 178.124 | + | 178.124i | 0.300885 | + | 0.300885i | ||||
\(593\) | 464.417 | − | 964.372i | 0.783165 | − | 1.62626i | 0.00355571 | − | 0.999994i | \(-0.498868\pi\) |
0.779610 | − | 0.626266i | \(-0.215418\pi\) | |||||||
\(594\) | −21.9980 | − | 195.237i | −0.0370336 | − | 0.328683i | ||||
\(595\) | 10.4892 | − | 1.18184i | 0.0176288 | − | 0.00198629i | ||||
\(596\) | −115.838 | − | 55.7844i | −0.194358 | − | 0.0935980i | ||||
\(597\) | 91.3060 | − | 91.3060i | 0.152941 | − | 0.152941i | ||||
\(598\) | 301.302 | + | 861.073i | 0.503850 | + | 1.43992i | ||||
\(599\) | 19.6237 | + | 31.2310i | 0.0327608 | + | 0.0521385i | 0.862703 | − | 0.505711i | \(-0.168770\pi\) |
−0.829942 | + | 0.557849i | \(0.811627\pi\) | |||||||
\(600\) | 873.834 | − | 420.816i | 1.45639 | − | 0.701361i | ||||
\(601\) | −165.010 | + | 471.571i | −0.274559 | + | 0.784645i | 0.721207 | + | 0.692720i | \(0.243588\pi\) |
−0.995766 | + | 0.0919249i | \(0.970698\pi\) | |||||||
\(602\) | 444.785 | − | 101.519i | 0.738846 | − | 0.168637i | ||||
\(603\) | 45.5424 | − | 57.1083i | 0.0755263 | − | 0.0947070i | ||||
\(604\) | 7.07610 | + | 8.87315i | 0.0117154 | + | 0.0146906i | ||||
\(605\) | 1.92076 | − | 8.41538i | 0.00317480 | − | 0.0139097i | ||||
\(606\) | 450.919 | − | 717.634i | 0.744091 | − | 1.18421i | ||||
\(607\) | −18.5846 | + | 164.942i | −0.0306171 | + | 0.271734i | 0.969072 | + | 0.246780i | \(0.0793725\pi\) |
−0.999689 | + | 0.0249540i | \(0.992056\pi\) | |||||||
\(608\) | 348.593i | 0.573344i | ||||||||
\(609\) | −439.457 | + | 789.866i | −0.721604 | + | 1.29699i | ||||
\(610\) | 1.18719 | 0.00194621 | ||||||||
\(611\) | 102.704 | + | 11.5720i | 0.168092 | + | 0.0189394i | ||||
\(612\) | 86.6929 | + | 54.4728i | 0.141655 | + | 0.0890078i | ||||
\(613\) | −793.283 | − | 181.062i | −1.29410 | − | 0.295370i | −0.480602 | − | 0.876939i | \(-0.659582\pi\) |
−0.813497 | + | 0.581569i | \(0.802439\pi\) | |||||||
\(614\) | −172.016 | + | 137.178i | −0.280157 | + | 0.223418i | ||||
\(615\) | 12.6622 | + | 10.0977i | 0.0205889 | + | 0.0164191i | ||||
\(616\) | 174.995 | + | 766.702i | 0.284082 | + | 1.24465i | ||||
\(617\) | −889.197 | − | 311.143i | −1.44116 | − | 0.504284i | −0.507254 | − | 0.861797i | \(-0.669339\pi\) |
−0.933908 | + | 0.357512i | \(0.883625\pi\) | |||||||
\(618\) | 396.749 | + | 823.857i | 0.641988 | + | 1.33310i | ||||
\(619\) | −690.219 | + | 433.693i | −1.11505 | + | 0.700635i | −0.957947 | − | 0.286946i | \(-0.907360\pi\) |
−0.157108 | + | 0.987581i | \(0.550217\pi\) | |||||||
\(620\) | −6.83347 | + | 2.39113i | −0.0110217 | + | 0.00385667i | ||||
\(621\) | −151.929 | − | 151.929i | −0.244653 | − | 0.244653i | ||||
\(622\) | −359.691 | + | 746.906i | −0.578281 | + | 1.20081i | ||||
\(623\) | −21.0685 | − | 186.988i | −0.0338177 | − | 0.300141i | ||||
\(624\) | 1018.73 | − | 114.783i | 1.63257 | − | 0.183947i | ||||
\(625\) | −560.886 | − | 270.108i | −0.897418 | − | 0.432174i | ||||
\(626\) | 638.168 | − | 638.168i | 1.01944 | − | 1.01944i | ||||
\(627\) | −387.216 | − | 1106.60i | −0.617569 | − | 1.76491i | ||||
\(628\) | 45.5064 | + | 72.4231i | 0.0724625 | + | 0.115323i | ||||
\(629\) | 184.126 | − | 88.6705i | 0.292728 | − | 0.140971i | ||||
\(630\) | −7.79229 | + | 22.2691i | −0.0123687 | + | 0.0353477i | ||||
\(631\) | 430.841 | − | 98.3366i | 0.682791 | − | 0.155842i | 0.132963 | − | 0.991121i | \(-0.457551\pi\) |
0.549827 | + | 0.835278i | \(0.314694\pi\) | |||||||
\(632\) | −461.879 | + | 579.178i | −0.730822 | + | 0.916421i | ||||
\(633\) | −831.474 | − | 1042.63i | −1.31354 | − | 1.64713i | ||||
\(634\) | −167.948 | + | 735.828i | −0.264902 | + | 1.16061i | ||||
\(635\) | 9.76432 | − | 15.5398i | 0.0153769 | − | 0.0244722i | ||||
\(636\) | 45.6838 | − | 405.455i | 0.0718299 | − | 0.637508i | ||||
\(637\) | − | 9.07439i | − | 0.0142455i | ||||||
\(638\) | 638.704 | − | 34.0616i | 1.00110 | − | 0.0533881i | ||||
\(639\) | −394.488 | −0.617353 | ||||||||
\(640\) | −9.13367 | − | 1.02912i | −0.0142714 | − | 0.00160800i | ||||
\(641\) | 439.716 | + | 276.292i | 0.685984 | + | 0.431032i | 0.829419 | − | 0.558628i | \(-0.188672\pi\) |
−0.143435 | + | 0.989660i | \(0.545815\pi\) | |||||||
\(642\) | −1051.87 | − | 240.084i | −1.63843 | − | 0.373962i | ||||
\(643\) | 886.679 | − | 707.103i | 1.37897 | − | 1.09969i | 0.395533 | − | 0.918452i | \(-0.370560\pi\) |
0.983439 | − | 0.181241i | \(-0.0580115\pi\) | |||||||
\(644\) | 146.579 | + | 116.893i | 0.227607 | + | 0.181510i | ||||
\(645\) | 6.94978 | + | 30.4490i | 0.0107748 | + | 0.0472077i | ||||
\(646\) | −270.414 | − | 94.6219i | −0.418597 | − | 0.146474i | ||||
\(647\) | −64.3196 | − | 133.561i | −0.0994120 | − | 0.206431i | 0.845331 | − | 0.534243i | \(-0.179403\pi\) |
−0.944743 | + | 0.327812i | \(0.893689\pi\) | |||||||
\(648\) | 434.760 | − | 273.178i | 0.670926 | − | 0.421571i | ||||
\(649\) | −343.583 | + | 120.225i | −0.529404 | + | 0.185246i | ||||
\(650\) | −667.734 | − | 667.734i | −1.02728 | − | 1.02728i | ||||
\(651\) | −484.360 | + | 1005.78i | −0.744024 | + | 1.54498i | ||||
\(652\) | 3.55242 | + | 31.5286i | 0.00544850 | + | 0.0483568i | ||||
\(653\) | −828.414 | + | 93.3398i | −1.26863 | + | 0.142940i | −0.720500 | − | 0.693455i | \(-0.756088\pi\) |
−0.548128 | + | 0.836395i | \(0.684659\pi\) | |||||||
\(654\) | 215.853 | + | 103.949i | 0.330050 | + | 0.158944i | ||||
\(655\) | 12.3332 | − | 12.3332i | 0.0188294 | − | 0.0188294i | ||||
\(656\) | 67.9493 | + | 194.188i | 0.103581 | + | 0.296018i | ||||
\(657\) | 609.265 | + | 969.640i | 0.927344 | + | 1.47586i | ||||
\(658\) | −49.5117 | + | 23.8436i | −0.0752458 | + | 0.0362365i | ||||
\(659\) | 30.0943 | − | 86.0046i | 0.0456666 | − | 0.130508i | −0.918792 | − | 0.394743i | \(-0.870834\pi\) |
0.964458 | + | 0.264235i | \(0.0851194\pi\) | |||||||
\(660\) | −11.4419 | + | 2.61154i | −0.0173362 | + | 0.00395688i | ||||
\(661\) | −17.7926 | + | 22.3113i | −0.0269177 | + | 0.0337538i | −0.795108 | − | 0.606468i | \(-0.792586\pi\) |
0.768190 | + | 0.640221i | \(0.221157\pi\) | |||||||
\(662\) | 309.366 | + | 387.933i | 0.467320 | + | 0.586001i | ||||
\(663\) | 185.070 | − | 810.845i | 0.279140 | − | 1.22299i | ||||
\(664\) | −127.476 | + | 202.877i | −0.191982 | + | 0.305538i | ||||
\(665\) | −2.85692 | + | 25.3559i | −0.00429613 | + | 0.0381292i | ||||
\(666\) | 456.783i | 0.685860i | ||||||||
\(667\) | 522.868 | − | 464.617i | 0.783910 | − | 0.696578i | ||||
\(668\) | 47.1095 | 0.0705231 | ||||||||
\(669\) | 305.314 | + | 34.4006i | 0.456373 | + | 0.0514209i | ||||
\(670\) | 1.73241 | + | 1.08855i | 0.00258569 | + | 0.00162470i | ||||
\(671\) | 48.8125 | + | 11.1411i | 0.0727458 | + | 0.0166038i | ||||
\(672\) | 420.686 | − | 335.486i | 0.626020 | − | 0.499235i | ||||
\(673\) | −459.480 | − | 366.423i | −0.682734 | − | 0.544463i | 0.219551 | − | 0.975601i | \(-0.429541\pi\) |
−0.902286 | + | 0.431138i | \(0.858112\pi\) | |||||||
\(674\) | −178.808 | − | 783.408i | −0.265293 | − | 1.16233i | ||||
\(675\) | 209.929 | + | 73.4572i | 0.311005 | + | 0.108825i | ||||
\(676\) | 158.140 | + | 328.382i | 0.233935 | + | 0.485772i | ||||
\(677\) | −104.008 | + | 65.3523i | −0.153630 | + | 0.0965322i | −0.606653 | − | 0.794967i | \(-0.707488\pi\) |
0.453023 | + | 0.891499i | \(0.350346\pi\) | |||||||
\(678\) | −691.668 | + | 242.025i | −1.02016 | + | 0.356969i | ||||
\(679\) | 35.4767 | + | 35.4767i | 0.0522485 | + | 0.0522485i | ||||
\(680\) | −5.70806 | + | 11.8529i | −0.00839420 | + | 0.0174307i | ||||
\(681\) | −221.344 | − | 1964.48i | −0.325027 | − | 2.88470i | ||||
\(682\) | 784.978 | − | 88.4458i | 1.15099 | − | 0.129686i | ||||
\(683\) | 909.152 | + | 437.825i | 1.33112 | + | 0.641032i | 0.958004 | − | 0.286755i | \(-0.0925765\pi\) |
0.373112 | + | 0.927786i | \(0.378291\pi\) | |||||||
\(684\) | −175.011 | + | 175.011i | −0.255864 | + | 0.255864i | ||||
\(685\) | −11.0183 | − | 31.4886i | −0.0160852 | − | 0.0459688i | ||||
\(686\) | 311.231 | + | 495.322i | 0.453690 | + | 0.722043i | ||||
\(687\) | 369.108 | − | 177.753i | 0.537275 | − | 0.258738i | ||||
\(688\) | −131.036 | + | 374.479i | −0.190459 | + | 0.544301i | ||||
\(689\) | −1776.66 | + | 405.511i | −2.57861 | + | 0.588550i | ||||
\(690\) | 20.7035 | − | 25.9614i | 0.0300051 | − | 0.0376252i | ||||
\(691\) | −82.1865 | − | 103.059i | −0.118938 | − | 0.149144i | 0.718798 | − | 0.695219i | \(-0.244693\pi\) |
−0.837736 | + | 0.546075i | \(0.816121\pi\) | |||||||
\(692\) | −31.5208 | + | 138.102i | −0.0455503 | + | 0.199569i | ||||
\(693\) | −529.372 | + | 842.490i | −0.763884 | + | 1.21571i | ||||
\(694\) | 97.2684 | − | 863.280i | 0.140156 | − | 1.24392i | ||||
\(695\) | − | 33.8670i | − | 0.0487296i | ||||||
\(696\) | −542.147 | − | 987.512i | −0.778947 | − | 1.41884i | ||||
\(697\) | 166.906 | 0.239464 | ||||||||
\(698\) | 813.571 | + | 91.6674i | 1.16557 | + | 0.131329i | ||||
\(699\) | 438.051 | + | 275.246i | 0.626682 | + | 0.393771i | ||||
\(700\) | −189.202 | − | 43.1842i | −0.270289 | − | 0.0616918i | ||||
\(701\) | 205.200 | − | 163.642i | 0.292725 | − | 0.233441i | −0.466104 | − | 0.884730i | \(-0.654343\pi\) |
0.758830 | + | 0.651289i | \(0.225771\pi\) | |||||||
\(702\) | 263.419 | + | 210.070i | 0.375241 | + | 0.299245i | ||||
\(703\) | 109.930 | + | 481.633i | 0.156372 | + | 0.685111i | ||||
\(704\) | −864.181 | − | 302.390i | −1.22753 | − | 0.429531i | ||||
\(705\) | −1.63228 | − | 3.38946i | −0.00231529 | − | 0.00480774i | ||||
\(706\) | −350.905 | + | 220.488i | −0.497033 | + | 0.312307i | ||||
\(707\) | −734.285 | + | 256.937i | −1.03859 | + | 0.363419i | ||||
\(708\) | 98.8282 | + | 98.8282i | 0.139588 | + | 0.139588i | ||||
\(709\) | 242.106 | − | 502.738i | 0.341475 | − | 0.709081i | −0.657541 | − | 0.753418i | \(-0.728404\pi\) |
0.999017 | + | 0.0443379i | \(0.0141178\pi\) | |||||||
\(710\) | −1.23719 | − | 10.9804i | −0.00174252 | − | 0.0154653i | ||||
\(711\) | −931.384 | + | 104.942i | −1.30996 | + | 0.147597i | ||||
\(712\) | 211.299 | + | 101.756i | 0.296768 | + | 0.142916i | ||||
\(713\) | 610.852 | − | 610.852i | 0.856735 | − | 0.856735i | ||||
\(714\) | 146.055 | + | 417.402i | 0.204559 | + | 0.584597i | ||||
\(715\) | 27.8877 | + | 44.3830i | 0.0390038 | + | 0.0620742i | ||||
\(716\) | 146.542 | − | 70.5710i | 0.204668 | − | 0.0985628i | ||||
\(717\) | −258.827 | + | 739.685i | −0.360986 | + | 1.03164i | ||||
\(718\) | −998.611 | + | 227.926i | −1.39082 | + | 0.317446i | ||||
\(719\) | 173.291 | − | 217.300i | 0.241017 | − | 0.302225i | −0.646581 | − | 0.762846i | \(-0.723802\pi\) |
0.887597 | + | 0.460620i | \(0.152373\pi\) | |||||||
\(720\) | −12.7922 | − | 16.0409i | −0.0177669 | − | 0.0222790i | ||||
\(721\) | 186.766 | − | 818.277i | 0.259038 | − | 1.13492i | ||||
\(722\) | 42.2353 | − | 67.2171i | 0.0584976 | − | 0.0930984i | ||||
\(723\) | 1.87500 | − | 16.6411i | 0.00259336 | − | 0.0230167i | ||||
\(724\) | − | 242.602i | − | 0.335085i | ||||||
\(725\) | −278.967 | + | 668.148i | −0.384782 | + | 0.921583i | ||||
\(726\) | 361.624 | 0.498105 | ||||||||
\(727\) | −868.909 | − | 97.9026i | −1.19520 | − | 0.134667i | −0.508144 | − | 0.861272i | \(-0.669668\pi\) |
−0.687055 | + | 0.726606i | \(0.741097\pi\) | |||||||
\(728\) | −1141.90 | − | 717.502i | −1.56854 | − | 0.985580i | ||||
\(729\) | 982.845 | + | 224.328i | 1.34821 | + | 0.307720i | ||||
\(730\) | −25.0787 | + | 19.9996i | −0.0343543 | + | 0.0273967i | ||||
\(731\) | 251.647 | + | 200.681i | 0.344250 | + | 0.274530i | ||||
\(732\) | −4.27771 | − | 18.7419i | −0.00584386 | − | 0.0256036i | ||||
\(733\) | 121.421 | + | 42.4869i | 0.165649 | + | 0.0579631i | 0.411830 | − | 0.911261i | \(-0.364890\pi\) |
−0.246181 | + | 0.969224i | \(0.579176\pi\) | |||||||
\(734\) | −190.712 | − | 396.017i | −0.259825 | − | 0.539533i | ||||
\(735\) | −0.279674 | + | 0.175731i | −0.000380509 | + | 0.000239090i | ||||
\(736\) | −393.024 | + | 137.525i | −0.534000 | + | 0.186855i | ||||
\(737\) | 61.0145 | + | 61.0145i | 0.0827876 | + | 0.0827876i | ||||
\(738\) | −161.864 | + | 336.114i | −0.219328 | + | 0.455439i | ||||
\(739\) | 61.1890 | + | 543.068i | 0.0827998 | + | 0.734868i | 0.964685 | + | 0.263405i | \(0.0848455\pi\) |
−0.881886 | + | 0.471463i | \(0.843726\pi\) | |||||||
\(740\) | 4.91426 | − | 0.553704i | 0.00664089 | − | 0.000748249i | ||||
\(741\) | 1811.40 | + | 872.322i | 2.44453 | + | 1.17722i | ||||
\(742\) | 685.153 | − | 685.153i | 0.923387 | − | 0.923387i | ||||
\(743\) | 73.3592 | + | 209.649i | 0.0987338 | + | 0.282165i | 0.982647 | − | 0.185486i | \(-0.0593860\pi\) |
−0.883913 | + | 0.467651i | \(0.845100\pi\) | |||||||
\(744\) | −740.231 | − | 1178.07i | −0.994934 | − | 1.58343i | ||||
\(745\) | 18.8318 | − | 9.06891i | 0.0252776 | − | 0.0121730i | ||||
\(746\) | 341.955 | − | 977.252i | 0.458385 | − | 1.30999i | ||||
\(747\) | −295.551 | + | 67.4577i | −0.395651 | + | 0.0903048i | ||||
\(748\) | −75.4107 | + | 94.5620i | −0.100816 | + | 0.126420i | ||||
\(749\) | 617.456 | + | 774.266i | 0.824374 | + | 1.03373i | ||||
\(750\) | −15.3073 | + | 67.0655i | −0.0204097 | + | 0.0894207i | ||||
\(751\) | −4.56022 | + | 7.25755i | −0.00607220 | + | 0.00966385i | −0.849747 | − | 0.527191i | \(-0.823245\pi\) |
0.843674 | + | 0.536855i | \(0.180388\pi\) | |||||||
\(752\) | 5.35069 | − | 47.4887i | 0.00711528 | − | 0.0631498i | ||||
\(753\) | 851.592i | 1.13093i | ||||||||
\(754\) | −733.187 | + | 815.793i | −0.972397 | + | 1.08195i | ||||
\(755\) | −1.84504 | −0.00244377 | ||||||||
\(756\) | 68.8067 | + | 7.75265i | 0.0910141 | + | 0.0102548i | ||||
\(757\) | 642.972 | + | 404.006i | 0.849368 | + | 0.533693i | 0.884957 | − | 0.465673i | \(-0.154188\pi\) |
−0.0355886 | + | 0.999367i | \(0.511331\pi\) | |||||||
\(758\) | 267.898 | + | 61.1460i | 0.353427 | + | 0.0806675i | ||||
\(759\) | 1094.88 | − | 873.138i | 1.44253 | − | 1.15038i | ||||
\(760\) | −24.8637 | − | 19.8282i | −0.0327154 | − | 0.0260897i | ||||
\(761\) | −61.0011 | − | 267.263i | −0.0801592 | − | 0.351200i | 0.918904 | − | 0.394482i | \(-0.129076\pi\) |
−0.999063 | + | 0.0432815i | \(0.986219\pi\) | |||||||
\(762\) | 725.736 | + | 253.946i | 0.952409 | + | 0.333262i | ||||
\(763\) | −95.4128 | − | 198.127i | −0.125050 | − | 0.259668i | ||||
\(764\) | 188.013 | − | 118.137i | 0.246091 | − | 0.154629i | ||||
\(765\) | −15.7109 | + | 5.49750i | −0.0205372 | + | 0.00718627i | ||||
\(766\) | 418.001 | + | 418.001i | 0.545693 | + | 0.545693i | ||||
\(767\) | 270.844 | − | 562.413i | 0.353121 | − | 0.733263i | ||||
\(768\) | 98.0770 | + | 870.457i | 0.127704 | + | 1.13341i | ||||
\(769\) | 1376.20 | − | 155.060i | 1.78959 | − | 0.201639i | 0.846097 | − | 0.533028i | \(-0.178946\pi\) |
0.943494 | + | 0.331390i | \(0.107518\pi\) | |||||||
\(770\) | −25.1105 | − | 12.0926i | −0.0326111 | − | 0.0157047i | ||||
\(771\) | −454.606 | + | 454.606i | −0.589631 | + | 0.589631i | ||||
\(772\) | 118.090 | + | 337.481i | 0.152966 | + | 0.437152i | ||||
\(773\) | 566.278 | + | 901.226i | 0.732572 | + | 1.16588i | 0.980389 | + | 0.197075i | \(0.0631441\pi\) |
−0.247817 | + | 0.968807i | \(0.579713\pi\) | |||||||
\(774\) | −648.174 | + | 312.144i | −0.837434 | + | 0.403287i | ||||
\(775\) | −295.344 | + | 844.046i | −0.381089 | + | 1.08909i | ||||
\(776\) | −60.9629 | + | 13.9144i | −0.0785604 | + | 0.0179309i | ||||
\(777\) | 475.443 | − | 596.187i | 0.611896 | − | 0.767293i | ||||
\(778\) | −380.773 | − | 477.474i | −0.489425 | − | 0.613720i | ||||
\(779\) | −89.7804 | + | 393.354i | −0.115251 | + | 0.504947i | ||||
\(780\) | 10.7077 | − | 17.0412i | 0.0137278 | − | 0.0218476i | ||||
\(781\) | 52.1767 | − | 463.081i | 0.0668075 | − | 0.592933i | ||||
\(782\) | − | 342.210i | − | 0.437608i | ||||||
\(783\) | 72.2162 | − | 248.035i | 0.0922301 | − | 0.316776i | ||||
\(784\) | −4.19585 | −0.00535184 | ||||||||
\(785\) | −13.8178 | − | 1.55689i | −0.0176023 | − | 0.00198330i | ||||
\(786\) | 618.714 | + | 388.764i | 0.787168 | + | 0.494610i | ||||
\(787\) | −526.723 | − | 120.221i | −0.669280 | − | 0.152759i | −0.125638 | − | 0.992076i | \(-0.540098\pi\) |
−0.543642 | + | 0.839317i | \(0.682955\pi\) | |||||||
\(788\) | 49.4357 | − | 39.4237i | 0.0627357 | − | 0.0500300i | ||||
\(789\) | 50.0014 | + | 39.8748i | 0.0633732 | + | 0.0505384i | ||||
\(790\) | −5.84200 | − | 25.5955i | −0.00739494 | − | 0.0323994i | ||||
\(791\) | 634.867 | + | 222.150i | 0.802614 | + | 0.280847i | ||||
\(792\) | −538.060 | − | 1117.29i | −0.679369 | − | 1.41072i | ||||
\(793\) | −72.6996 | + | 45.6802i | −0.0916766 | + | 0.0576042i | ||||
\(794\) | −196.805 | + | 68.8650i | −0.247865 | + | 0.0867318i | ||||
\(795\) | 46.9040 | + | 46.9040i | 0.0589987 | + | 0.0589987i | ||||
\(796\) | 13.9720 | − | 29.0131i | 0.0175527 | − | 0.0364486i | ||||
\(797\) | −98.7882 | − | 876.770i | −0.123950 | − | 1.10009i | −0.889571 | − | 0.456796i | \(-0.848997\pi\) |
0.765621 | − | 0.643292i | \(-0.222432\pi\) | |||||||
\(798\) | −1062.27 | + | 119.689i | −1.33117 | + | 0.149986i | ||||
\(799\) | −34.9307 | − | 16.8218i | −0.0437181 | − | 0.0210535i | ||||
\(800\) | 304.777 | − | 304.777i | 0.380971 | − | 0.380971i | ||||
\(801\) | 98.0025 | + | 280.075i | 0.122350 | + | 0.349657i | ||||
\(802\) | −229.803 | − | 365.729i | −0.286537 | − | 0.456021i | ||||
\(803\) | −1218.82 | + | 586.954i | −1.51784 | + | 0.730951i | ||||
\(804\) | 10.9424 | − | 31.2715i | 0.0136099 | − | 0.0388949i | ||||
\(805\) | −29.7148 | + | 6.78220i | −0.0369128 | + | 0.00842510i | ||||
\(806\) | −844.613 | + | 1059.11i | −1.04791 | + | 1.31403i | ||||
\(807\) | −341.080 | − | 427.701i | −0.422652 | − | 0.529989i | ||||
\(808\) | 215.751 | − | 945.265i | 0.267018 | − | 1.16988i | ||||
\(809\) | −466.005 | + | 741.642i | −0.576026 | + | 0.916740i | 0.423913 | + | 0.905703i | \(0.360656\pi\) |
−0.999939 | + | 0.0110369i | \(0.996487\pi\) | |||||||
\(810\) | −2.03742 | + | 18.0826i | −0.00251533 | + | 0.0223242i | ||||
\(811\) | − | 1115.45i | − | 1.37540i | −0.725996 | − | 0.687699i | \(-0.758621\pi\) | ||
0.725996 | − | 0.687699i | \(-0.241379\pi\) | |||||||
\(812\) | −38.3852 | + | 222.123i | −0.0472725 | + | 0.273551i | ||||
\(813\) | −1922.74 | −2.36500 | ||||||||
\(814\) | −536.206 | − | 60.4159i | −0.658730 | − | 0.0742211i | ||||
\(815\) | −4.36746 | − | 2.74425i | −0.00535884 | − | 0.00336718i | ||||
\(816\) | −374.921 | − | 85.5733i | −0.459462 | − | 0.104869i | ||||
\(817\) | −608.316 | + | 485.116i | −0.744573 | + | 0.593777i | ||||
\(818\) | 87.4194 | + | 69.7147i | 0.106870 | + | 0.0852258i | ||||
\(819\) | −379.687 | − | 1663.52i | −0.463598 | − | 2.03116i | ||||
\(820\) | 3.81226 | + | 1.33397i | 0.00464910 | + | 0.00162679i | ||||
\(821\) | 608.619 | + | 1263.81i | 0.741314 | + | 1.53936i | 0.838996 | + | 0.544137i | \(0.183143\pi\) |
−0.0976818 | + | 0.995218i | \(0.531143\pi\) | |||||||
\(822\) | 1183.40 | − | 743.583i | 1.43967 | − | 0.904602i | ||||
\(823\) | 115.112 | − | 40.2794i | 0.139869 | − | 0.0489421i | −0.259437 | − | 0.965760i | \(-0.583537\pi\) |
0.399306 | + | 0.916818i | \(0.369251\pi\) | |||||||
\(824\) | 739.686 | + | 739.686i | 0.897677 | + | 0.897677i | ||||
\(825\) | −628.961 | + | 1306.05i | −0.762377 | + | 1.58309i | ||||
\(826\) | 37.1618 | + | 329.820i | 0.0449900 | + | 0.399297i | ||||
\(827\) | 74.2024 | − | 8.36060i | 0.0897248 | − | 0.0101096i | −0.0669879 | − | 0.997754i | \(-0.521339\pi\) |
0.156713 | + | 0.987644i | \(0.449910\pi\) | |||||||
\(828\) | −266.361 | − | 128.273i | −0.321692 | − | 0.154919i | ||||
\(829\) | −67.2027 | + | 67.2027i | −0.0810648 | + | 0.0810648i | −0.746477 | − | 0.665412i | \(-0.768256\pi\) |
0.665412 | + | 0.746477i | \(0.268256\pi\) | |||||||
\(830\) | −2.80456 | − | 8.01496i | −0.00337898 | − | 0.00965658i | ||||
\(831\) | −959.055 | − | 1526.33i | −1.15410 | − | 1.83674i | ||||
\(832\) | 1414.58 | − | 681.226i | 1.70022 | − | 0.818781i | ||||
\(833\) | −1.12427 | + | 3.21297i | −0.00134966 | + | 0.00385711i | ||||
\(834\) | 1383.27 | − | 315.721i | 1.65859 | − | 0.378563i | ||||
\(835\) | −4.77507 | + | 5.98775i | −0.00571865 | + | 0.00717096i | ||||
\(836\) | −182.293 | − | 228.589i | −0.218054 | − | 0.273431i | ||||
\(837\) | 70.9961 | − | 311.054i | 0.0848220 | − | 0.371630i | ||||
\(838\) | 472.639 | − | 752.201i | 0.564009 | − | 0.897615i | ||||
\(839\) | 130.828 | − | 1161.13i | 0.155933 | − | 1.38394i | −0.635223 | − | 0.772329i | \(-0.719092\pi\) |
0.791156 | − | 0.611614i | \(-0.209480\pi\) | |||||||
\(840\) | 49.0883i | 0.0584385i | ||||||||
\(841\) | 792.226 | + | 282.239i | 0.942005 | + | 0.335599i | ||||
\(842\) | 328.827 | 0.390531 | ||||||||
\(843\) | −273.330 | − | 30.7969i | −0.324235 | − | 0.0365325i | ||||
\(844\) | −281.599 | − | 176.940i | −0.333648 | − | 0.209645i | ||||
\(845\) | −57.7676 | − | 13.1851i | −0.0683640 | − | 0.0156036i | ||||
\(846\) | 67.7509 | − | 54.0295i | 0.0800838 | − | 0.0638647i | ||||
\(847\) | −259.511 | − | 206.953i | −0.306388 | − | 0.244337i | ||||
\(848\) | 187.501 | + | 821.497i | 0.221110 | + | 0.968747i | ||||
\(849\) | −747.911 | − | 261.705i | −0.880932 | − | 0.308251i | ||||
\(850\) | 153.696 | + | 319.153i | 0.180819 | + | 0.375474i | ||||
\(851\) | −499.652 | + | 313.952i | −0.587135 | + | 0.368921i | ||||
\(852\) | −168.887 | + | 59.0961i | −0.198224 | + | 0.0693617i | ||||
\(853\) | 898.967 | + | 898.967i | 1.05389 | + | 1.05389i | 0.998463 | + | 0.0554262i | \(0.0176517\pi\) |
0.0554262 | + | 0.998463i | \(0.482348\pi\) | |||||||
\(854\) | 19.8077 | − | 41.1311i | 0.0231940 | − | 0.0481629i | ||||
\(855\) | −4.50508 | − | 39.9837i | −0.00526910 | − | 0.0467645i | ||||
\(856\) | −1226.51 | + | 138.195i | −1.43284 | + | 0.161443i | ||||
\(857\) | −1206.82 | − | 581.175i | −1.40819 | − | 0.678151i | −0.433389 | − | 0.901207i | \(-0.642682\pi\) |
−0.974806 | + | 0.223056i | \(0.928397\pi\) | |||||||
\(858\) | −1552.80 | + | 1552.80i | −1.80979 | + | 1.80979i | ||||
\(859\) | 50.0032 | + | 142.901i | 0.0582109 | + | 0.166357i | 0.969317 | − | 0.245816i | \(-0.0790557\pi\) |
−0.911106 | + | 0.412173i | \(0.864770\pi\) | |||||||
\(860\) | 4.14388 | + | 6.59495i | 0.00481847 | + | 0.00766855i | ||||
\(861\) | 561.107 | − | 270.215i | 0.651693 | − | 0.313839i | ||||
\(862\) | 146.276 | − | 418.032i | 0.169693 | − | 0.484955i | ||||
\(863\) | −21.6830 | + | 4.94901i | −0.0251252 | + | 0.00573466i | −0.235065 | − | 0.971980i | \(-0.575530\pi\) |
0.209940 | + | 0.977714i | \(0.432673\pi\) | |||||||
\(864\) | −95.8832 | + | 120.234i | −0.110976 | + | 0.139159i | ||||
\(865\) | −14.3581 | − | 18.0045i | −0.0165990 | − | 0.0208145i | ||||
\(866\) | −23.3014 | + | 102.090i | −0.0269070 | + | 0.117887i | ||||
\(867\) | 521.504 | − | 829.969i | 0.601504 | − | 0.957288i | ||||
\(868\) | −31.1706 | + | 276.646i | −0.0359108 | + | 0.318717i | ||||
\(869\) | − | 1107.21i | − | 1.27412i | ||||||
\(870\) | 39.3415 | + | 6.79863i | 0.0452201 | + | 0.00781451i | ||||
\(871\) | −147.972 | −0.169887 | ||||||||
\(872\) | 272.351 | + | 30.6866i | 0.312329 | + | 0.0351910i | ||||
\(873\) | −66.9891 | − | 42.0920i | −0.0767344 | − | 0.0482154i | ||||
\(874\) | 806.497 | + | 184.078i | 0.922766 | + | 0.210615i | ||||
\(875\) | 49.3657 | − | 39.3678i | 0.0564180 | − | 0.0449918i | ||||
\(876\) | 406.093 | + | 323.849i | 0.463577 | + | 0.369690i | ||||
\(877\) | 217.881 | + | 954.597i | 0.248439 | + | 1.08848i | 0.933099 | + | 0.359619i | \(0.117093\pi\) |
−0.684661 | + | 0.728862i | \(0.740050\pi\) | |||||||
\(878\) | 284.855 | + | 99.6752i | 0.324437 | + | 0.113525i | ||||
\(879\) | 98.1783 | + | 203.869i | 0.111693 | + | 0.231933i | ||||
\(880\) | 20.5220 | − | 12.8948i | 0.0233204 | − | 0.0146532i | ||||
\(881\) | 1438.74 | − | 503.438i | 1.63308 | − | 0.571439i | 0.650864 | − | 0.759194i | \(-0.274407\pi\) |
0.982216 | + | 0.187755i | \(0.0601211\pi\) | |||||||
\(882\) | −5.37993 | − | 5.37993i | −0.00609970 | − | 0.00609970i | ||||
\(883\) | 82.4632 | − | 171.237i | 0.0933898 | − | 0.193926i | −0.849041 | − | 0.528327i | \(-0.822820\pi\) |
0.942431 | + | 0.334401i | \(0.108534\pi\) | |||||||
\(884\) | −23.2228 | − | 206.108i | −0.0262702 | − | 0.233154i | ||||
\(885\) | −22.5787 | + | 2.54401i | −0.0255126 | + | 0.00287458i | ||||
\(886\) | −1024.91 | − | 493.571i | −1.15678 | − | 0.557078i | ||||
\(887\) | −341.806 | + | 341.806i | −0.385350 | + | 0.385350i | −0.873025 | − | 0.487675i | \(-0.837845\pi\) |
0.487675 | + | 0.873025i | \(0.337845\pi\) | |||||||
\(888\) | 313.895 | + | 897.061i | 0.353486 | + | 1.01020i | ||||
\(889\) | −375.477 | − | 597.568i | −0.422359 | − | 0.672180i | ||||
\(890\) | −7.48839 | + | 3.60622i | −0.00841393 | + | 0.00405193i | ||||
\(891\) | −253.466 | + | 724.364i | −0.284474 | + | 0.812979i | ||||
\(892\) | 74.7012 | − | 17.0501i | 0.0837458 | − | 0.0191144i | ||||
\(893\) | 58.4340 | − | 73.2739i | 0.0654356 | − | 0.0820537i | ||||
\(894\) | 545.968 | + | 684.622i | 0.610702 | + | 0.765797i | ||||
\(895\) | −5.88391 | + | 25.7791i | −0.00657420 | + | 0.0288035i | ||||
\(896\) | −188.046 | + | 299.273i | −0.209873 | + | 0.334010i | ||||
\(897\) | −268.884 | + | 2386.41i | −0.299759 | + | 2.66044i | ||||
\(898\) | − | 436.555i | − | 0.486141i | ||||||
\(899\) | 997.259 | + | 290.355i | 1.10930 | + | 0.322975i | ||||
\(900\) | 306.026 | 0.340029 | ||||||||
\(901\) | 679.302 | + | 76.5390i | 0.753942 | + | 0.0849489i | ||||
\(902\) | −373.147 | − | 234.464i | −0.413689 | − | 0.259938i | ||||
\(903\) | 1170.88 | + | 267.247i | 1.29666 | + | 0.295954i | ||||
\(904\) | −655.409 | + | 522.671i | −0.725010 | + | 0.578176i | ||||
\(905\) | 30.8354 | + | 24.5904i | 0.0340723 | + | 0.0271717i | ||||
\(906\) | −17.2002 | − | 75.3590i | −0.0189848 | − | 0.0831777i | ||||
\(907\) | 114.416 | + | 40.0359i | 0.126148 | + | 0.0441410i | 0.392615 | − | 0.919703i | \(-0.371571\pi\) |
−0.266467 | + | 0.963844i | \(0.585856\pi\) | |||||||
\(908\) | −213.909 | − | 444.187i | −0.235583 | − | 0.489193i | ||||
\(909\) | 1038.70 | − | 652.661i | 1.14269 | − | 0.717999i | ||||
\(910\) | 45.1124 | − | 15.7855i | 0.0495740 | − | 0.0173467i | ||||
\(911\) | −743.327 | − | 743.327i | −0.815946 | − | 0.815946i | 0.169572 | − | 0.985518i | \(-0.445762\pi\) |
−0.985518 | + | 0.169572i | \(0.945762\pi\) | |||||||
\(912\) | 403.347 | − | 837.559i | 0.442267 | − | 0.918376i | ||||
\(913\) | −40.0961 | − | 355.863i | −0.0439169 | − | 0.389773i | ||||
\(914\) | −880.268 | + | 99.1824i | −0.963094 | + | 0.108515i | ||||
\(915\) | 2.81574 | + | 1.35599i | 0.00307731 | + | 0.00148195i | ||||
\(916\) | 72.2434 | − | 72.2434i | 0.0788683 | − | 0.0788683i | ||||
\(917\) | −221.521 | − | 633.070i | −0.241571 | − | 0.690371i | ||||
\(918\) | −67.2423 | − | 107.016i | −0.0732487 | − | 0.116575i | ||||
\(919\) | −547.562 | + | 263.692i | −0.595824 | + | 0.286934i | −0.707390 | − | 0.706823i | \(-0.750128\pi\) |
0.111566 | + | 0.993757i | \(0.464413\pi\) | |||||||
\(920\) | 12.5463 | − | 35.8553i | 0.0136373 | − | 0.0389731i | ||||
\(921\) | −564.667 | + | 128.881i | −0.613102 | + | 0.139936i | ||||
\(922\) | 607.770 | − | 762.119i | 0.659186 | − | 0.826593i | ||||
\(923\) | 498.261 | + | 624.800i | 0.539828 | + | 0.676923i | ||||
\(924\) | −100.424 | + | 439.987i | −0.108684 | + | 0.476176i | ||||
\(925\) | 324.982 | − | 517.207i | 0.351332 | − | 0.559142i | ||||
\(926\) | −104.224 | + | 925.009i | −0.112552 | + | 0.998930i | ||||
\(927\) | 1323.52i | 1.42775i | ||||||||
\(928\) | −372.357 | − | 334.652i | −0.401246 | − | 0.360617i | ||||
\(929\) | 1245.42 | 1.34060 | 0.670301 | − | 0.742090i | \(-0.266165\pi\) | ||||
0.670301 | + | 0.742090i | \(0.266165\pi\) | |||||||
\(930\) | 48.9984 | + | 5.52079i | 0.0526864 | + | 0.00593634i | ||||
\(931\) | −6.96736 | − | 4.37788i | −0.00748374 | − | 0.00470235i | ||||
\(932\) | 125.784 | + | 28.7093i | 0.134961 | + | 0.0308040i | ||||
\(933\) | −1706.21 | + | 1360.66i | −1.82874 | + | 1.45837i | ||||
\(934\) | 1092.07 | + | 870.895i | 1.16924 | + | 0.932436i | ||||
\(935\) | −4.37539 | − | 19.1698i | −0.00467956 | − | 0.0205025i | ||||
\(936\) | 2007.28 | + | 702.377i | 2.14453 | + | 0.750403i | ||||
\(937\) | −174.644 | − | 362.653i | −0.186387 | − | 0.387036i | 0.786747 | − | 0.617275i | \(-0.211763\pi\) |
−0.973134 | + | 0.230239i | \(0.926049\pi\) | |||||||
\(938\) | 66.6181 | − | 41.8589i | 0.0710214 | − | 0.0446257i | ||||
\(939\) | 2242.50 | − | 784.683i | 2.38817 | − | 0.835658i | ||||
\(940\) | −0.663399 | − | 0.663399i | −0.000705744 | − | 0.000705744i | ||||
\(941\) | 238.487 | − | 495.224i | 0.253440 | − | 0.526274i | −0.734966 | − | 0.678103i | \(-0.762802\pi\) |
0.988407 | + | 0.151829i | \(0.0485164\pi\) | |||||||
\(942\) | −65.2249 | − | 578.887i | −0.0692409 | − | 0.614530i | ||||
\(943\) | −478.909 | + | 53.9601i | −0.507857 | + | 0.0572217i | ||||
\(944\) | −260.050 | − | 125.234i | −0.275477 | − | 0.132663i | ||||
\(945\) | −7.95971 | + | 7.95971i | −0.00842298 | + | 0.00842298i | ||||
\(946\) | −280.688 | − | 802.161i | −0.296711 | − | 0.847951i | ||||
\(947\) | −592.004 | − | 942.169i | −0.625136 | − | 0.994898i | −0.997759 | − | 0.0669152i | \(-0.978684\pi\) |
0.372623 | − | 0.927983i | \(-0.378459\pi\) | |||||||
\(948\) | −383.020 | + | 184.453i | −0.404030 | + | 0.194571i | ||||
\(949\) | 766.202 | − | 2189.68i | 0.807378 | − | 2.30735i | ||||
\(950\) | −834.833 | + | 190.545i | −0.878772 | + | 0.200574i | ||||
\(951\) | −1238.79 | + | 1553.39i | −1.30262 | + | 1.63343i | ||||
\(952\) | 315.417 | + | 395.521i | 0.331321 | + | 0.415463i | ||||
\(953\) | −58.4095 | + | 255.909i | −0.0612902 | + | 0.268530i | −0.996283 | − | 0.0861357i | \(-0.972548\pi\) |
0.934993 | + | 0.354666i | \(0.115405\pi\) | |||||||
\(954\) | −812.913 | + | 1293.74i | −0.852110 | + | 1.35613i | ||||
\(955\) | −4.04175 | + | 35.8715i | −0.00423220 | + | 0.0375618i | ||||
\(956\) | 195.433i | 0.204428i | ||||||||
\(957\) | 1553.76 | + | 648.732i | 1.62358 | + | 0.677881i | ||||
\(958\) | −465.267 | −0.485665 | ||||||||
\(959\) | −1274.79 | − | 143.634i | −1.32929 | − | 0.149775i | ||||
\(960\) | −48.3897 | − | 30.4052i | −0.0504059 | − | 0.0316721i | ||||
\(961\) | 313.728 | + | 71.6064i | 0.326460 | + | 0.0745124i | ||||
\(962\) | 723.463 | − | 576.942i | 0.752040 | − | 0.599732i | ||||
\(963\) | −1220.94 | − | 973.666i | −1.26785 | − | 1.01108i | ||||
\(964\) | −0.929311 | − | 4.07158i | −0.000964015 | − | 0.00422363i | ||||
\(965\) | −54.8646 | − | 19.1979i | −0.0568545 | − | 0.0198942i | ||||
\(966\) | −554.025 | − | 1150.44i | −0.573525 | − | 1.19094i | ||||
\(967\) | 302.551 | − | 190.106i | 0.312876 | − | 0.196593i | −0.366435 | − | 0.930444i | \(-0.619422\pi\) |
0.679311 | + | 0.733851i | \(0.262279\pi\) | |||||||
\(968\) | 390.477 | − | 136.634i | 0.403385 | − | 0.141151i | ||||
\(969\) | −533.285 | − | 533.285i | −0.550346 | − | 0.550346i | ||||
\(970\) | 0.961520 | − | 1.99662i | 0.000991258 | − | 0.00205837i | ||||
\(971\) | 36.4644 | + | 323.630i | 0.0375534 | + | 0.333296i | 0.998416 | + | 0.0562690i | \(0.0179205\pi\) |
−0.960862 | + | 0.277027i | \(0.910651\pi\) | |||||||
\(972\) | 381.643 | − | 43.0008i | 0.392637 | − | 0.0442395i | ||||
\(973\) | −1173.35 | − | 565.057i | −1.20591 | − | 0.580737i | ||||
\(974\) | −148.643 | + | 148.643i | −0.152610 | + | 0.152610i | ||||
\(975\) | −821.037 | − | 2346.39i | −0.842089 | − | 2.40655i | ||||
\(976\) | 21.1217 | + | 33.6150i | 0.0216411 | + | 0.0344416i | ||||
\(977\) | −1535.16 | + | 739.292i | −1.57130 | + | 0.756696i | −0.998034 | − | 0.0626765i | \(-0.980036\pi\) |
−0.573262 | + | 0.819372i | \(0.694322\pi\) | |||||||
\(978\) | 71.3713 | − | 203.967i | 0.0729768 | − | 0.208556i | ||||
\(979\) | −341.736 | + | 77.9990i | −0.349066 | + | 0.0796721i | ||||
\(980\) | −0.0513581 | + | 0.0644011i | −5.24063e−5 | + | 6.57154e-5i | ||||
\(981\) | 216.205 | + | 271.113i | 0.220393 | + | 0.276364i | ||||
\(982\) | −39.4046 | + | 172.643i | −0.0401269 | + | 0.175807i | ||||
\(983\) | 252.311 | − | 401.550i | 0.256674 | − | 0.408494i | −0.693384 | − | 0.720569i | \(-0.743881\pi\) |
0.950058 | + | 0.312074i | \(0.101024\pi\) | |||||||
\(984\) | −86.9062 | + | 771.314i | −0.0883193 | + | 0.783856i | ||||
\(985\) | 10.2795i | 0.0104360i | ||||||||
\(986\) | 360.672 | − | 198.010i | 0.365793 | − | 0.200821i | ||||
\(987\) | −144.664 | −0.146570 | ||||||||
\(988\) | 498.235 | + | 56.1376i | 0.504286 | + | 0.0568194i | ||||
\(989\) | −786.936 | − | 494.465i | −0.795689 | − | 0.499964i | ||||
\(990\) | 42.8472 | + | 9.77958i | 0.0432800 | + | 0.00987837i | ||||
\(991\) | −831.950 | + | 663.458i | −0.839505 | + | 0.669483i | −0.945764 | − | 0.324855i | \(-0.894684\pi\) |
0.106258 | + | 0.994339i | \(0.466113\pi\) | |||||||
\(992\) | −483.416 | − | 385.511i | −0.487314 | − | 0.388620i | ||||
\(993\) | 290.655 | + | 1273.44i | 0.292704 | + | 1.28242i | ||||
\(994\) | −401.067 | − | 140.339i | −0.403488 | − | 0.141186i | ||||
\(995\) | 2.27143 | + | 4.71668i | 0.00228285 | + | 0.00474038i | ||||
\(996\) | −116.425 | + | 73.1547i | −0.116893 | + | 0.0734485i | ||||
\(997\) | −1385.13 | + | 484.679i | −1.38930 | + | 0.486138i | −0.918262 | − | 0.395974i | \(-0.870407\pi\) |
−0.471040 | + | 0.882112i | \(0.656121\pi\) | |||||||
\(998\) | 425.385 | + | 425.385i | 0.426238 | + | 0.426238i | ||||
\(999\) | −94.5608 | + | 196.358i | −0.0946555 | + | 0.196554i |
(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 | 29.3.f.a.2.2 | ✓ | 48 | |
3.2 | odd | 2 | 261.3.s.a.118.3 | 48 | |||
29.15 | odd | 28 | inner | 29.3.f.a.15.2 | yes | 48 | |
87.44 | even | 28 | 261.3.s.a.73.3 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
29.3.f.a.2.2 | ✓ | 48 | 1.1 | even | 1 | trivial | |
29.3.f.a.15.2 | yes | 48 | 29.15 | odd | 28 | inner | |
261.3.s.a.73.3 | 48 | 87.44 | even | 28 | |||
261.3.s.a.118.3 | 48 | 3.2 | odd | 2 |