Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [28,3,Mod(11,28)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(28, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("28.11");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 28 = 2^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 28.g (of order \(6\), degree \(2\), 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: | \(0.762944740209\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 3 x^{11} - 4 x^{10} + 3 x^{9} + 86 x^{8} - 163 x^{7} + 155 x^{6} - 166 x^{5} + 164 x^{4} + \cdots + 4 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2^{8} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 23.5 | ||
Root | \(0.907369 - 0.0534805i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 28.23 |
Dual form | 28.3.g.a.11.5 |
$q$-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 \(\left(\mathbb{Z}/28\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(17\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.19654 | + | 1.60259i | 0.598272 | + | 0.801293i | ||||
\(3\) | −1.86796 | + | 1.07847i | −0.622653 | + | 0.359489i | −0.777901 | − | 0.628387i | \(-0.783716\pi\) |
0.155248 | + | 0.987875i | \(0.450382\pi\) | |||||||
\(4\) | −1.13656 | + | 3.83513i | −0.284141 | + | 0.958782i | ||||
\(5\) | 3.25304 | − | 5.63443i | 0.650608 | − | 1.12689i | −0.332368 | − | 0.943150i | \(-0.607848\pi\) |
0.982976 | − | 0.183736i | \(-0.0588190\pi\) | |||||||
\(6\) | −3.96343 | − | 1.70313i | −0.660572 | − | 0.283855i | ||||
\(7\) | 2.39669 | − | 6.57692i | 0.342384 | − | 0.939560i | ||||
\(8\) | −7.50608 | + | 2.76746i | −0.938259 | + | 0.345932i | ||||
\(9\) | −2.17382 | + | 3.76517i | −0.241536 | + | 0.418352i | ||||
\(10\) | 12.9221 | − | 1.52857i | 1.29221 | − | 0.152857i | ||||
\(11\) | −0.528732 | + | 0.305264i | −0.0480665 | + | 0.0277512i | −0.523841 | − | 0.851816i | \(-0.675501\pi\) |
0.475774 | + | 0.879567i | \(0.342168\pi\) | |||||||
\(12\) | −2.01300 | − | 8.38961i | −0.167750 | − | 0.699134i | ||||
\(13\) | −10.6645 | −0.820347 | −0.410173 | − | 0.912008i | \(-0.634532\pi\) | ||||
−0.410173 | + | 0.912008i | \(0.634532\pi\) | |||||||
\(14\) | 13.4078 | − | 4.02867i | 0.957702 | − | 0.287762i | ||||
\(15\) | 14.0332i | 0.935544i | ||||||||
\(16\) | −13.4164 | − | 8.71774i | −0.838528 | − | 0.544859i | ||||
\(17\) | 5.99069 | + | 10.3762i | 0.352393 | + | 0.610363i | 0.986668 | − | 0.162744i | \(-0.0520346\pi\) |
−0.634275 | + | 0.773108i | \(0.718701\pi\) | |||||||
\(18\) | −8.63508 | + | 1.02145i | −0.479727 | + | 0.0567475i | ||||
\(19\) | −10.5811 | − | 6.10898i | −0.556898 | − | 0.321525i | 0.195001 | − | 0.980803i | \(-0.437529\pi\) |
−0.751900 | + | 0.659278i | \(0.770862\pi\) | |||||||
\(20\) | 17.9115 | + | 18.8797i | 0.895574 | + | 0.943986i | ||||
\(21\) | 2.61607 | + | 14.8702i | 0.124575 | + | 0.708103i | ||||
\(22\) | −1.12186 | − | 0.482077i | −0.0509937 | − | 0.0219126i | ||||
\(23\) | 34.7524 | + | 20.0643i | 1.51097 | + | 0.872361i | 0.999918 | + | 0.0128131i | \(0.00407865\pi\) |
0.511055 | + | 0.859548i | \(0.329255\pi\) | |||||||
\(24\) | 11.0364 | − | 13.2645i | 0.459851 | − | 0.552689i | ||||
\(25\) | −8.66451 | − | 15.0074i | −0.346580 | − | 0.600295i | ||||
\(26\) | −12.7606 | − | 17.0908i | −0.490791 | − | 0.657338i | ||||
\(27\) | − | 28.7900i | − | 1.06629i | ||||||
\(28\) | 22.4993 | + | 16.6667i | 0.803548 | + | 0.595240i | ||||
\(29\) | −9.04293 | −0.311825 | −0.155913 | − | 0.987771i | \(-0.549832\pi\) | ||||
−0.155913 | + | 0.987771i | \(0.549832\pi\) | |||||||
\(30\) | −22.4894 | + | 16.7913i | −0.749645 | + | 0.559710i | ||||
\(31\) | −30.2408 | + | 17.4595i | −0.975509 | + | 0.563210i | −0.900911 | − | 0.434004i | \(-0.857101\pi\) |
−0.0745975 | + | 0.997214i | \(0.523767\pi\) | |||||||
\(32\) | −2.08243 | − | 31.9322i | −0.0650759 | − | 0.997880i | ||||
\(33\) | 0.658433 | − | 1.14044i | 0.0199525 | − | 0.0345588i | ||||
\(34\) | −9.46059 | + | 22.0161i | −0.278253 | + | 0.647534i | ||||
\(35\) | −29.2606 | − | 34.8989i | −0.836019 | − | 0.997113i | ||||
\(36\) | −11.9692 | − | 12.6162i | −0.332478 | − | 0.350451i | ||||
\(37\) | 25.4082 | − | 44.0084i | 0.686709 | − | 1.18941i | −0.286187 | − | 0.958174i | \(-0.592388\pi\) |
0.972896 | − | 0.231241i | \(-0.0742787\pi\) | |||||||
\(38\) | −2.87054 | − | 24.2667i | −0.0755406 | − | 0.638598i | ||||
\(39\) | 19.9209 | − | 11.5013i | 0.510791 | − | 0.294905i | ||||
\(40\) | −8.82450 | + | 51.2951i | −0.220612 | + | 1.28238i | ||||
\(41\) | 25.7382 | 0.627761 | 0.313881 | − | 0.949462i | \(-0.398371\pi\) | ||||
0.313881 | + | 0.949462i | \(0.398371\pi\) | |||||||
\(42\) | −20.7005 | + | 21.9853i | −0.492868 | + | 0.523459i | ||||
\(43\) | 19.8107i | 0.460713i | 0.973106 | + | 0.230357i | \(0.0739893\pi\) | ||||
−0.973106 | + | 0.230357i | \(0.926011\pi\) | |||||||
\(44\) | −0.569787 | − | 2.37471i | −0.0129497 | − | 0.0539706i | ||||
\(45\) | 14.1430 | + | 24.4965i | 0.314290 | + | 0.544366i | ||||
\(46\) | 9.42799 | + | 79.7015i | 0.204956 | + | 1.73264i | ||||
\(47\) | 40.7870 | + | 23.5484i | 0.867809 | + | 0.501030i | 0.866620 | − | 0.498969i | \(-0.166288\pi\) |
0.00118973 | + | 0.999999i | \(0.499621\pi\) | |||||||
\(48\) | 34.4631 | + | 1.81520i | 0.717982 | + | 0.0378167i | ||||
\(49\) | −37.5118 | − | 31.5257i | −0.765546 | − | 0.643381i | ||||
\(50\) | 13.6831 | − | 31.8426i | 0.273663 | − | 0.636852i | ||||
\(51\) | −22.3807 | − | 12.9215i | −0.438837 | − | 0.253363i | ||||
\(52\) | 12.1209 | − | 40.8998i | 0.233094 | − | 0.786534i | ||||
\(53\) | 13.4390 | + | 23.2770i | 0.253566 | + | 0.439190i | 0.964505 | − | 0.264064i | \(-0.0850631\pi\) |
−0.710939 | + | 0.703254i | \(0.751730\pi\) | |||||||
\(54\) | 46.1384 | − | 34.4485i | 0.854415 | − | 0.637934i | ||||
\(55\) | 3.97214i | 0.0722207i | ||||||||
\(56\) | 0.211622 | + | 55.9996i | 0.00377896 | + | 0.999993i | ||||
\(57\) | 26.3533 | 0.462339 | ||||||||
\(58\) | −10.8203 | − | 14.4921i | −0.186556 | − | 0.249863i | ||||
\(59\) | −39.8644 | + | 23.0157i | −0.675668 | + | 0.390097i | −0.798221 | − | 0.602365i | \(-0.794225\pi\) |
0.122553 | + | 0.992462i | \(0.460892\pi\) | |||||||
\(60\) | −53.8190 | − | 15.9496i | −0.896984 | − | 0.265827i | ||||
\(61\) | −21.1035 | + | 36.5524i | −0.345959 | + | 0.599219i | −0.985528 | − | 0.169515i | \(-0.945780\pi\) |
0.639568 | + | 0.768734i | \(0.279113\pi\) | |||||||
\(62\) | −64.1648 | − | 27.5724i | −1.03492 | − | 0.444715i | ||||
\(63\) | 19.5532 | + | 23.3210i | 0.310369 | + | 0.370174i | ||||
\(64\) | 48.6823 | − | 41.5455i | 0.760661 | − | 0.649149i | ||||
\(65\) | −34.6920 | + | 60.0884i | −0.533724 | + | 0.924437i | ||||
\(66\) | 2.61550 | − | 0.309390i | 0.0396287 | − | 0.00468773i | ||||
\(67\) | 24.0592 | − | 13.8906i | 0.359092 | − | 0.207322i | −0.309590 | − | 0.950870i | \(-0.600192\pi\) |
0.668683 | + | 0.743548i | \(0.266859\pi\) | |||||||
\(68\) | −46.6028 | + | 11.1819i | −0.685335 | + | 0.164439i | ||||
\(69\) | −86.5547 | −1.25442 | ||||||||
\(70\) | 20.9169 | − | 88.6508i | 0.298813 | − | 1.26644i | ||||
\(71\) | − | 57.1882i | − | 0.805467i | −0.915317 | − | 0.402734i | \(-0.868060\pi\) | ||
0.915317 | − | 0.402734i | \(-0.131940\pi\) | |||||||
\(72\) | 5.89691 | − | 34.2776i | 0.0819016 | − | 0.476078i | ||||
\(73\) | −28.1645 | − | 48.7824i | −0.385815 | − | 0.668251i | 0.606067 | − | 0.795414i | \(-0.292746\pi\) |
−0.991882 | + | 0.127162i | \(0.959413\pi\) | |||||||
\(74\) | 100.929 | − | 11.9391i | 1.36391 | − | 0.161339i | ||||
\(75\) | 32.3699 | + | 18.6888i | 0.431598 | + | 0.249183i | ||||
\(76\) | 35.4548 | − | 33.6365i | 0.466510 | − | 0.442586i | ||||
\(77\) | 0.740487 | + | 4.20905i | 0.00961672 | + | 0.0546630i | ||||
\(78\) | 42.2680 | + | 18.1631i | 0.541898 | + | 0.232860i | ||||
\(79\) | 15.9295 | + | 9.19688i | 0.201639 | + | 0.116416i | 0.597420 | − | 0.801929i | \(-0.296193\pi\) |
−0.395781 | + | 0.918345i | \(0.629526\pi\) | |||||||
\(80\) | −92.7637 | + | 47.2348i | −1.15955 | + | 0.590435i | ||||
\(81\) | 11.4846 | + | 19.8919i | 0.141785 | + | 0.245579i | ||||
\(82\) | 30.7969 | + | 41.2477i | 0.375572 | + | 0.503021i | ||||
\(83\) | − | 37.3775i | − | 0.450332i | −0.974320 | − | 0.225166i | \(-0.927708\pi\) | ||
0.974320 | − | 0.225166i | \(-0.0722924\pi\) | |||||||
\(84\) | −60.0023 | − | 6.86794i | −0.714313 | − | 0.0817611i | ||||
\(85\) | 77.9517 | 0.917079 | ||||||||
\(86\) | −31.7483 | + | 23.7043i | −0.369166 | + | 0.275632i | ||||
\(87\) | 16.8918 | − | 9.75249i | 0.194159 | − | 0.112098i | ||||
\(88\) | 3.12390 | − | 3.75458i | 0.0354988 | − | 0.0426656i | ||||
\(89\) | 12.3537 | − | 21.3973i | 0.138806 | − | 0.240419i | −0.788239 | − | 0.615369i | \(-0.789007\pi\) |
0.927045 | + | 0.374950i | \(0.122340\pi\) | |||||||
\(90\) | −22.3349 | + | 51.9766i | −0.248166 | + | 0.577517i | ||||
\(91\) | −25.5595 | + | 70.1396i | −0.280874 | + | 0.770765i | ||||
\(92\) | −116.448 | + | 110.476i | −1.26573 | + | 1.20082i | ||||
\(93\) | 37.6590 | − | 65.2273i | 0.404935 | − | 0.701369i | ||||
\(94\) | 11.0651 | + | 93.5415i | 0.117714 | + | 0.995122i | ||||
\(95\) | −68.8412 | + | 39.7455i | −0.724644 | + | 0.418374i | ||||
\(96\) | 38.3277 | + | 57.4021i | 0.399246 | + | 0.597939i | ||||
\(97\) | 109.895 | 1.13294 | 0.566468 | − | 0.824084i | \(-0.308310\pi\) | ||||
0.566468 | + | 0.824084i | \(0.308310\pi\) | |||||||
\(98\) | 5.63815 | − | 97.8377i | 0.0575322 | − | 0.998344i | ||||
\(99\) | − | 2.65435i | − | 0.0268117i | ||||||
\(100\) | 67.4030 | − | 16.1727i | 0.674030 | − | 0.161727i | ||||
\(101\) | −21.5756 | − | 37.3700i | −0.213620 | − | 0.370000i | 0.739225 | − | 0.673458i | \(-0.235192\pi\) |
−0.952845 | + | 0.303458i | \(0.901859\pi\) | |||||||
\(102\) | −6.07167 | − | 51.3282i | −0.0595262 | − | 0.503217i | ||||
\(103\) | −130.437 | − | 75.3078i | −1.26638 | − | 0.731144i | −0.292077 | − | 0.956395i | \(-0.594346\pi\) |
−0.974301 | + | 0.225251i | \(0.927680\pi\) | |||||||
\(104\) | 80.0486 | − | 29.5136i | 0.769698 | − | 0.283785i | ||||
\(105\) | 92.2950 | + | 33.6332i | 0.879000 | + | 0.320316i | ||||
\(106\) | −21.2231 | + | 49.3892i | −0.200218 | + | 0.465936i | ||||
\(107\) | −35.1527 | − | 20.2954i | −0.328530 | − | 0.189677i | 0.326658 | − | 0.945143i | \(-0.394077\pi\) |
−0.655188 | + | 0.755466i | \(0.727411\pi\) | |||||||
\(108\) | 110.413 | + | 32.7216i | 1.02234 | + | 0.302978i | ||||
\(109\) | −33.2652 | − | 57.6170i | −0.305185 | − | 0.528596i | 0.672117 | − | 0.740445i | \(-0.265385\pi\) |
−0.977303 | + | 0.211848i | \(0.932052\pi\) | |||||||
\(110\) | −6.36569 | + | 4.75284i | −0.0578699 | + | 0.0432076i | ||||
\(111\) | 109.608i | 0.987457i | ||||||||
\(112\) | −89.4910 | + | 67.3451i | −0.799026 | + | 0.601296i | ||||
\(113\) | −143.395 | −1.26899 | −0.634493 | − | 0.772929i | \(-0.718791\pi\) | ||||
−0.634493 | + | 0.772929i | \(0.718791\pi\) | |||||||
\(114\) | 31.5329 | + | 42.2335i | 0.276604 | + | 0.370469i | ||||
\(115\) | 226.102 | − | 130.540i | 1.96610 | − | 1.13513i | ||||
\(116\) | 10.2779 | − | 34.6808i | 0.0886023 | − | 0.298972i | ||||
\(117\) | 23.1827 | − | 40.1537i | 0.198143 | − | 0.343194i | ||||
\(118\) | −84.5842 | − | 36.3468i | −0.716815 | − | 0.308024i | ||||
\(119\) | 82.6011 | − | 14.5318i | 0.694127 | − | 0.122116i | ||||
\(120\) | −38.8362 | − | 105.334i | −0.323635 | − | 0.877783i | ||||
\(121\) | −60.3136 | + | 104.466i | −0.498460 | + | 0.863358i | ||||
\(122\) | −83.8296 | + | 9.91631i | −0.687128 | + | 0.0812812i | ||||
\(123\) | −48.0779 | + | 27.7578i | −0.390877 | + | 0.225673i | ||||
\(124\) | −32.5889 | − | 135.821i | −0.262814 | − | 1.09533i | ||||
\(125\) | 49.9080 | 0.399264 | ||||||||
\(126\) | −13.9776 | + | 59.2403i | −0.110933 | + | 0.470161i | ||||
\(127\) | − | 83.0059i | − | 0.653590i | −0.945095 | − | 0.326795i | \(-0.894031\pi\) | ||
0.945095 | − | 0.326795i | \(-0.105969\pi\) | |||||||
\(128\) | 124.831 | + | 28.3066i | 0.975241 | + | 0.221145i | ||||
\(129\) | −21.3651 | − | 37.0055i | −0.165621 | − | 0.286864i | ||||
\(130\) | −137.807 | + | 16.3014i | −1.06006 | + | 0.125395i | ||||
\(131\) | 25.5368 | + | 14.7437i | 0.194938 | + | 0.112547i | 0.594292 | − | 0.804249i | \(-0.297432\pi\) |
−0.399354 | + | 0.916797i | \(0.630766\pi\) | |||||||
\(132\) | 3.62538 | + | 3.82136i | 0.0274650 | + | 0.0289497i | ||||
\(133\) | −65.5378 | + | 54.9495i | −0.492766 | + | 0.413154i | ||||
\(134\) | 51.0487 | + | 21.9362i | 0.380961 | + | 0.163703i | ||||
\(135\) | −162.215 | − | 93.6548i | −1.20159 | − | 0.693740i | ||||
\(136\) | −73.6822 | − | 61.3054i | −0.541781 | − | 0.450775i | ||||
\(137\) | 11.7586 | + | 20.3664i | 0.0858288 | + | 0.148660i | 0.905744 | − | 0.423825i | \(-0.139313\pi\) |
−0.819915 | + | 0.572485i | \(0.805980\pi\) | |||||||
\(138\) | −103.566 | − | 138.711i | −0.750482 | − | 1.00515i | ||||
\(139\) | 256.175i | 1.84299i | 0.388396 | + | 0.921493i | \(0.373029\pi\) | ||||
−0.388396 | + | 0.921493i | \(0.626971\pi\) | |||||||
\(140\) | 167.099 | − | 72.5535i | 1.19356 | − | 0.518239i | ||||
\(141\) | −101.585 | −0.720459 | ||||||||
\(142\) | 91.6490 | − | 68.4282i | 0.645416 | − | 0.481889i | ||||
\(143\) | 5.63867 | − | 3.25549i | 0.0394312 | − | 0.0227656i | ||||
\(144\) | 61.9887 | − | 31.5644i | 0.430477 | − | 0.219197i | ||||
\(145\) | −29.4170 | + | 50.9517i | −0.202876 | + | 0.351391i | ||||
\(146\) | 44.4779 | − | 103.506i | 0.304643 | − | 0.708947i | ||||
\(147\) | 104.070 | + | 18.4335i | 0.707958 | + | 0.125398i | ||||
\(148\) | 139.900 | + | 147.462i | 0.945268 | + | 0.996366i | ||||
\(149\) | −44.7826 | + | 77.5658i | −0.300554 | + | 0.520576i | −0.976262 | − | 0.216595i | \(-0.930505\pi\) |
0.675707 | + | 0.737170i | \(0.263838\pi\) | |||||||
\(150\) | 8.78164 | + | 74.2374i | 0.0585443 | + | 0.494916i | ||||
\(151\) | 40.8283 | − | 23.5722i | 0.270386 | − | 0.156107i | −0.358677 | − | 0.933462i | \(-0.616772\pi\) |
0.629063 | + | 0.777354i | \(0.283439\pi\) | |||||||
\(152\) | 96.3286 | + | 16.5718i | 0.633741 | + | 0.109025i | ||||
\(153\) | −52.0907 | −0.340462 | ||||||||
\(154\) | −5.85934 | + | 6.22301i | −0.0380477 | + | 0.0404091i | ||||
\(155\) | 227.186i | 1.46572i | ||||||||
\(156\) | 21.4677 | + | 89.4711i | 0.137613 | + | 0.573532i | ||||
\(157\) | 143.897 | + | 249.237i | 0.916540 | + | 1.58749i | 0.804631 | + | 0.593776i | \(0.202363\pi\) |
0.111910 | + | 0.993718i | \(0.464303\pi\) | |||||||
\(158\) | 4.32151 | + | 36.5328i | 0.0273513 | + | 0.231220i | ||||
\(159\) | −50.2070 | − | 28.9870i | −0.315767 | − | 0.182308i | ||||
\(160\) | −186.694 | − | 92.1433i | −1.16684 | − | 0.575895i | ||||
\(161\) | 215.252 | − | 180.476i | 1.33697 | − | 1.12097i | ||||
\(162\) | −18.1367 | + | 42.2067i | −0.111955 | + | 0.260535i | ||||
\(163\) | 11.7940 | + | 6.80925i | 0.0723557 | + | 0.0417746i | 0.535741 | − | 0.844382i | \(-0.320032\pi\) |
−0.463386 | + | 0.886157i | \(0.653366\pi\) | |||||||
\(164\) | −29.2531 | + | 98.7094i | −0.178373 | + | 0.601887i | ||||
\(165\) | −4.28381 | − | 7.41978i | −0.0259625 | − | 0.0449684i | ||||
\(166\) | 59.9007 | − | 44.7238i | 0.360848 | − | 0.269421i | ||||
\(167\) | − | 241.587i | − | 1.44663i | −0.690519 | − | 0.723314i | \(-0.742618\pi\) | ||
0.690519 | − | 0.723314i | \(-0.257382\pi\) | |||||||
\(168\) | −60.7890 | − | 104.377i | −0.361839 | − | 0.621290i | ||||
\(169\) | −55.2683 | −0.327031 | ||||||||
\(170\) | 93.2727 | + | 124.924i | 0.548663 | + | 0.734849i | ||||
\(171\) | 46.0027 | − | 26.5597i | 0.269022 | − | 0.155320i | ||||
\(172\) | −75.9765 | − | 22.5161i | −0.441724 | − | 0.130908i | ||||
\(173\) | 57.3775 | − | 99.3807i | 0.331662 | − | 0.574455i | −0.651176 | − | 0.758927i | \(-0.725724\pi\) |
0.982838 | + | 0.184472i | \(0.0590575\pi\) | |||||||
\(174\) | 35.8410 | + | 15.4013i | 0.205983 | + | 0.0885132i | ||||
\(175\) | −119.468 | + | 21.0178i | −0.682677 | + | 0.120101i | ||||
\(176\) | 9.75491 | + | 0.513800i | 0.0554256 | + | 0.00291932i | ||||
\(177\) | 49.6434 | − | 85.9848i | 0.280471 | − | 0.485790i | ||||
\(178\) | 49.0727 | − | 5.80488i | 0.275689 | − | 0.0326117i | ||||
\(179\) | −23.2381 | + | 13.4165i | −0.129822 | + | 0.0749526i | −0.563504 | − | 0.826113i | \(-0.690547\pi\) |
0.433683 | + | 0.901066i | \(0.357214\pi\) | |||||||
\(180\) | −110.022 | + | 26.3986i | −0.611231 | + | 0.146659i | ||||
\(181\) | −46.5388 | −0.257120 | −0.128560 | − | 0.991702i | \(-0.541036\pi\) | ||||
−0.128560 | + | 0.991702i | \(0.541036\pi\) | |||||||
\(182\) | −142.988 | + | 42.9638i | −0.785648 | + | 0.236065i | ||||
\(183\) | − | 91.0377i | − | 0.497474i | ||||||
\(184\) | −316.381 | − | 54.4283i | −1.71946 | − | 0.295806i | ||||
\(185\) | −165.308 | − | 286.322i | −0.893556 | − | 1.54768i | ||||
\(186\) | 149.593 | − | 17.6956i | 0.804263 | − | 0.0951374i | ||||
\(187\) | −6.33494 | − | 3.65748i | −0.0338767 | − | 0.0195587i | ||||
\(188\) | −136.668 | + | 129.659i | −0.726959 | + | 0.689677i | ||||
\(189\) | −189.349 | − | 69.0006i | −1.00185 | − | 0.365083i | ||||
\(190\) | −146.067 | − | 62.7667i | −0.768774 | − | 0.330351i | ||||
\(191\) | 65.3175 | + | 37.7111i | 0.341976 | + | 0.197440i | 0.661146 | − | 0.750258i | \(-0.270071\pi\) |
−0.319169 | + | 0.947698i | \(0.603404\pi\) | |||||||
\(192\) | −46.1311 | + | 130.108i | −0.240266 | + | 0.677644i | ||||
\(193\) | 83.0347 | + | 143.820i | 0.430232 | + | 0.745183i | 0.996893 | − | 0.0787675i | \(-0.0250985\pi\) |
−0.566661 | + | 0.823951i | \(0.691765\pi\) | |||||||
\(194\) | 131.494 | + | 176.116i | 0.677803 | + | 0.907813i | ||||
\(195\) | − | 149.657i | − | 0.767471i | ||||||
\(196\) | 163.540 | − | 108.031i | 0.834386 | − | 0.551181i | ||||
\(197\) | 279.737 | 1.41998 | 0.709991 | − | 0.704210i | \(-0.248699\pi\) | ||||
0.709991 | + | 0.704210i | \(0.248699\pi\) | |||||||
\(198\) | 4.25383 | − | 3.17605i | 0.0214840 | − | 0.0160407i | ||||
\(199\) | −0.238457 | + | 0.137673i | −0.00119828 | + | 0.000691824i | −0.500599 | − | 0.865679i | \(-0.666887\pi\) |
0.499401 | + | 0.866371i | \(0.333554\pi\) | |||||||
\(200\) | 106.569 | + | 88.6678i | 0.532844 | + | 0.443339i | ||||
\(201\) | −29.9610 | + | 51.8940i | −0.149060 | + | 0.258179i | ||||
\(202\) | 34.0725 | − | 79.2916i | 0.168676 | − | 0.392533i | ||||
\(203\) | −21.6731 | + | 59.4746i | −0.106764 | + | 0.292978i | ||||
\(204\) | 74.9928 | − | 71.1468i | 0.367612 | − | 0.348759i | ||||
\(205\) | 83.7274 | − | 145.020i | 0.408426 | − | 0.707415i | ||||
\(206\) | −35.3863 | − | 299.146i | −0.171778 | − | 1.45216i | ||||
\(207\) | −151.091 | + | 87.2324i | −0.729908 | + | 0.421413i | ||||
\(208\) | 143.080 | + | 92.9705i | 0.687883 | + | 0.446973i | ||||
\(209\) | 7.45940 | 0.0356909 | ||||||||
\(210\) | 56.5350 | + | 188.154i | 0.269214 | + | 0.895973i | ||||
\(211\) | − | 301.264i | − | 1.42779i | −0.700252 | − | 0.713896i | \(-0.746929\pi\) | ||
0.700252 | − | 0.713896i | \(-0.253071\pi\) | |||||||
\(212\) | −104.545 | + | 25.0845i | −0.493136 | + | 0.118323i | ||||
\(213\) | 61.6755 | + | 106.825i | 0.289556 | + | 0.501527i | ||||
\(214\) | −9.53660 | − | 80.6196i | −0.0445635 | − | 0.376727i | ||||
\(215\) | 111.622 | + | 64.4449i | 0.519171 | + | 0.299744i | ||||
\(216\) | 79.6751 | + | 216.100i | 0.368866 | + | 1.00046i | ||||
\(217\) | 42.3521 | + | 240.736i | 0.195171 | + | 1.10938i | ||||
\(218\) | 52.5329 | − | 122.252i | 0.240977 | − | 0.560787i | ||||
\(219\) | 105.220 | + | 60.7489i | 0.480458 | + | 0.277392i | ||||
\(220\) | −15.2337 | − | 4.51459i | −0.0692439 | − | 0.0205209i | ||||
\(221\) | −63.8877 | − | 110.657i | −0.289085 | − | 0.500709i | ||||
\(222\) | −175.656 | + | 131.150i | −0.791242 | + | 0.590768i | ||||
\(223\) | 215.034i | 0.964279i | 0.876094 | + | 0.482140i | \(0.160140\pi\) | ||||
−0.876094 | + | 0.482140i | \(0.839860\pi\) | |||||||
\(224\) | −215.006 | − | 62.8356i | −0.959849 | − | 0.280516i | ||||
\(225\) | 75.3404 | 0.334846 | ||||||||
\(226\) | −171.579 | − | 229.804i | −0.759199 | − | 1.01683i | ||||
\(227\) | −364.944 | + | 210.700i | −1.60768 | + | 0.928195i | −0.617794 | + | 0.786340i | \(0.711973\pi\) |
−0.989887 | + | 0.141855i | \(0.954693\pi\) | |||||||
\(228\) | −29.9522 | + | 101.068i | −0.131369 | + | 0.443282i | ||||
\(229\) | −22.7637 | + | 39.4278i | −0.0994046 | + | 0.172174i | −0.911438 | − | 0.411437i | \(-0.865027\pi\) |
0.812034 | + | 0.583610i | \(0.198360\pi\) | |||||||
\(230\) | 479.742 | + | 206.151i | 2.08583 | + | 0.896307i | ||||
\(231\) | −5.92252 | − | 7.06374i | −0.0256386 | − | 0.0305790i | ||||
\(232\) | 67.8769 | − | 25.0259i | 0.292573 | − | 0.107870i | ||||
\(233\) | −75.7232 | + | 131.156i | −0.324992 | + | 0.562903i | −0.981511 | − | 0.191407i | \(-0.938695\pi\) |
0.656518 | + | 0.754310i | \(0.272028\pi\) | |||||||
\(234\) | 92.0889 | − | 10.8933i | 0.393542 | − | 0.0465526i | ||||
\(235\) | 265.364 | − | 153.208i | 1.12921 | − | 0.651948i | ||||
\(236\) | −42.9598 | − | 179.044i | −0.182033 | − | 0.758661i | ||||
\(237\) | −39.6741 | −0.167401 | ||||||||
\(238\) | 122.124 | + | 114.987i | 0.513127 | + | 0.483140i | ||||
\(239\) | 200.986i | 0.840944i | 0.907306 | + | 0.420472i | \(0.138135\pi\) | ||||
−0.907306 | + | 0.420472i | \(0.861865\pi\) | |||||||
\(240\) | 122.338 | − | 188.275i | 0.509740 | − | 0.784480i | ||||
\(241\) | −124.318 | − | 215.326i | −0.515844 | − | 0.893468i | −0.999831 | − | 0.0183927i | \(-0.994145\pi\) |
0.483987 | − | 0.875075i | \(-0.339188\pi\) | |||||||
\(242\) | −239.584 | + | 28.3407i | −0.990017 | + | 0.117110i | ||||
\(243\) | 181.490 | + | 104.783i | 0.746872 | + | 0.431207i | ||||
\(244\) | −116.198 | − | 122.479i | −0.476220 | − | 0.501963i | ||||
\(245\) | −299.656 | + | 108.803i | −1.22309 | + | 0.444094i | ||||
\(246\) | −102.012 | − | 43.8356i | −0.414681 | − | 0.178193i | ||||
\(247\) | 112.842 | + | 65.1493i | 0.456850 | + | 0.263762i | ||||
\(248\) | 178.671 | − | 214.743i | 0.720448 | − | 0.865897i | ||||
\(249\) | 40.3104 | + | 69.8196i | 0.161889 | + | 0.280400i | ||||
\(250\) | 59.7171 | + | 79.9819i | 0.238868 | + | 0.319927i | ||||
\(251\) | − | 226.888i | − | 0.903938i | −0.892034 | − | 0.451969i | \(-0.850722\pi\) | ||
0.892034 | − | 0.451969i | \(-0.149278\pi\) | |||||||
\(252\) | −111.663 | + | 48.4834i | −0.443105 | + | 0.192394i | ||||
\(253\) | −24.4996 | −0.0968364 | ||||||||
\(254\) | 133.024 | − | 99.3202i | 0.523717 | − | 0.391024i | ||||
\(255\) | −145.611 | + | 84.0683i | −0.571022 | + | 0.329680i | ||||
\(256\) | 104.002 | + | 233.922i | 0.406257 | + | 0.913759i | ||||
\(257\) | −177.583 | + | 307.583i | −0.690984 | + | 1.19682i | 0.280532 | + | 0.959845i | \(0.409489\pi\) |
−0.971516 | + | 0.236975i | \(0.923844\pi\) | |||||||
\(258\) | 33.7402 | − | 78.5182i | 0.130776 | − | 0.304334i | ||||
\(259\) | −228.544 | − | 272.582i | −0.882408 | − | 1.05244i | ||||
\(260\) | −191.017 | − | 201.343i | −0.734681 | − | 0.774396i | ||||
\(261\) | 19.6577 | − | 34.0481i | 0.0753169 | − | 0.130453i | ||||
\(262\) | 6.92790 | + | 58.5664i | 0.0264424 | + | 0.223536i | ||||
\(263\) | 338.273 | − | 195.302i | 1.28621 | − | 0.742593i | 0.308232 | − | 0.951311i | \(-0.400263\pi\) |
0.977976 | + | 0.208718i | \(0.0669292\pi\) | |||||||
\(264\) | −1.78613 | + | 10.3824i | −0.00676563 | + | 0.0393273i | ||||
\(265\) | 174.870 | 0.659888 | ||||||||
\(266\) | −166.480 | − | 39.2805i | −0.625865 | − | 0.147671i | ||||
\(267\) | 53.2923i | 0.199597i | ||||||||
\(268\) | 25.9274 | + | 108.058i | 0.0967439 | + | 0.403200i | ||||
\(269\) | 187.371 | + | 324.536i | 0.696546 | + | 1.20645i | 0.969657 | + | 0.244471i | \(0.0786143\pi\) |
−0.273110 | + | 0.961983i | \(0.588052\pi\) | |||||||
\(270\) | −44.0074 | − | 372.026i | −0.162990 | − | 1.37787i | ||||
\(271\) | 132.759 | + | 76.6485i | 0.489886 | + | 0.282836i | 0.724527 | − | 0.689246i | \(-0.242058\pi\) |
−0.234641 | + | 0.972082i | \(0.575392\pi\) | |||||||
\(272\) | 10.0831 | − | 191.437i | 0.0370703 | − | 0.703811i | ||||
\(273\) | −27.8991 | − | 158.583i | −0.102194 | − | 0.580890i | ||||
\(274\) | −18.5693 | + | 43.2134i | −0.0677712 | + | 0.157713i | ||||
\(275\) | 9.16241 | + | 5.28992i | 0.0333178 | + | 0.0192361i | ||||
\(276\) | 98.3750 | − | 331.948i | 0.356431 | − | 1.20271i | ||||
\(277\) | −224.888 | − | 389.517i | −0.811869 | − | 1.40620i | −0.911555 | − | 0.411179i | \(-0.865117\pi\) |
0.0996861 | − | 0.995019i | \(-0.468216\pi\) | |||||||
\(278\) | −410.542 | + | 306.525i | −1.47677 | + | 1.10261i | ||||
\(279\) | − | 151.815i | − | 0.544141i | ||||||
\(280\) | 316.214 | + | 180.976i | 1.12934 | + | 0.646344i | ||||
\(281\) | −3.27554 | −0.0116567 | −0.00582836 | − | 0.999983i | \(-0.501855\pi\) | ||||
−0.00582836 | + | 0.999983i | \(0.501855\pi\) | |||||||
\(282\) | −121.551 | − | 162.798i | −0.431030 | − | 0.577298i | ||||
\(283\) | −296.447 | + | 171.154i | −1.04752 | + | 0.604783i | −0.921953 | − | 0.387303i | \(-0.873407\pi\) |
−0.125562 | + | 0.992086i | \(0.540074\pi\) | |||||||
\(284\) | 219.324 | + | 64.9981i | 0.772268 | + | 0.228866i | ||||
\(285\) | 85.7283 | − | 148.486i | 0.300801 | − | 0.521003i | ||||
\(286\) | 11.9641 | + | 5.14112i | 0.0418326 | + | 0.0179759i | ||||
\(287\) | 61.6865 | − | 169.278i | 0.214936 | − | 0.589819i | ||||
\(288\) | 124.757 | + | 61.5741i | 0.433183 | + | 0.213799i | ||||
\(289\) | 72.7233 | − | 125.961i | 0.251638 | − | 0.435850i | ||||
\(290\) | −116.853 | + | 13.8227i | −0.402942 | + | 0.0476645i | ||||
\(291\) | −205.279 | + | 118.518i | −0.705425 | + | 0.407277i | ||||
\(292\) | 219.097 | − | 52.5703i | 0.750334 | − | 0.180035i | ||||
\(293\) | −243.752 | −0.831919 | −0.415959 | − | 0.909383i | \(-0.636554\pi\) | ||||
−0.415959 | + | 0.909383i | \(0.636554\pi\) | |||||||
\(294\) | 94.9828 | + | 188.837i | 0.323071 | + | 0.642304i | ||||
\(295\) | 299.484i | 1.01520i | ||||||||
\(296\) | −68.9248 | + | 400.646i | −0.232854 | + | 1.35353i | ||||
\(297\) | 8.78853 | + | 15.2222i | 0.0295910 | + | 0.0512531i | ||||
\(298\) | −177.890 | + | 21.0429i | −0.596947 | + | 0.0706136i | ||||
\(299\) | −370.617 | − | 213.976i | −1.23952 | − | 0.715638i | ||||
\(300\) | −108.464 | + | 102.902i | −0.361548 | + | 0.343006i | ||||
\(301\) | 130.293 | + | 47.4801i | 0.432868 | + | 0.157741i | ||||
\(302\) | 86.6293 | + | 37.2256i | 0.286852 | + | 0.123264i | ||||
\(303\) | 80.6046 | + | 46.5371i | 0.266022 | + | 0.153588i | ||||
\(304\) | 88.7037 | + | 174.204i | 0.291789 | + | 0.573039i | ||||
\(305\) | 137.301 | + | 237.812i | 0.450167 | + | 0.779713i | ||||
\(306\) | −62.3289 | − | 83.4799i | −0.203689 | − | 0.272810i | ||||
\(307\) | 58.4520i | 0.190397i | 0.995458 | + | 0.0951987i | \(0.0303487\pi\) | ||||
−0.995458 | + | 0.0951987i | \(0.969651\pi\) | |||||||
\(308\) | −16.9839 | − | 1.94399i | −0.0551424 | − | 0.00631166i | ||||
\(309\) | 324.868 | 1.05135 | ||||||||
\(310\) | −364.085 | + | 271.838i | −1.17447 | + | 0.876896i | ||||
\(311\) | 107.722 | − | 62.1933i | 0.346373 | − | 0.199978i | −0.316714 | − | 0.948521i | \(-0.602579\pi\) |
0.663086 | + | 0.748543i | \(0.269246\pi\) | |||||||
\(312\) | −117.698 | + | 141.460i | −0.377237 | + | 0.453397i | ||||
\(313\) | 240.725 | − | 416.948i | 0.769090 | − | 1.33210i | −0.168967 | − | 0.985622i | \(-0.554043\pi\) |
0.938057 | − | 0.346481i | \(-0.112624\pi\) | |||||||
\(314\) | −227.244 | + | 528.830i | −0.723708 | + | 1.68417i | ||||
\(315\) | 195.008 | − | 34.3072i | 0.619072 | − | 0.108912i | ||||
\(316\) | −53.3761 | + | 50.6387i | −0.168912 | + | 0.160249i | ||||
\(317\) | 179.573 | − | 311.030i | 0.566478 | − | 0.981168i | −0.430433 | − | 0.902623i | \(-0.641639\pi\) |
0.996911 | − | 0.0785457i | \(-0.0250276\pi\) | |||||||
\(318\) | −13.6207 | − | 115.145i | −0.0428324 | − | 0.362092i | ||||
\(319\) | 4.78129 | − | 2.76048i | 0.0149884 | − | 0.00865353i | ||||
\(320\) | −75.7197 | − | 409.446i | −0.236624 | − | 1.27952i | ||||
\(321\) | 87.5517 | 0.272747 | ||||||||
\(322\) | 546.786 | + | 129.013i | 1.69809 | + | 0.400660i | ||||
\(323\) | − | 146.388i | − | 0.453214i | ||||||
\(324\) | −89.3411 | + | 21.4365i | −0.275744 | + | 0.0661621i | ||||
\(325\) | 92.4027 | + | 160.046i | 0.284316 | + | 0.492450i | ||||
\(326\) | 3.19959 | + | 27.0484i | 0.00981470 | + | 0.0829706i | ||||
\(327\) | 124.276 | + | 71.7508i | 0.380049 | + | 0.219421i | ||||
\(328\) | −193.193 | + | 71.2295i | −0.589003 | + | 0.217163i | ||||
\(329\) | 252.630 | − | 211.815i | 0.767872 | − | 0.643814i | ||||
\(330\) | 6.76507 | − | 15.7433i | 0.0205002 | − | 0.0477069i | ||||
\(331\) | 109.721 | + | 63.3476i | 0.331484 | + | 0.191383i | 0.656500 | − | 0.754326i | \(-0.272036\pi\) |
−0.325016 | + | 0.945709i | \(0.605370\pi\) | |||||||
\(332\) | 143.348 | + | 42.4820i | 0.431770 | + | 0.127958i | ||||
\(333\) | 110.466 | + | 191.333i | 0.331729 | + | 0.574572i | ||||
\(334\) | 387.164 | − | 289.069i | 1.15917 | − | 0.865477i | ||||
\(335\) | − | 180.746i | − | 0.539541i | ||||||
\(336\) | 94.5359 | − | 222.311i | 0.281357 | − | 0.661640i | ||||
\(337\) | −551.430 | −1.63629 | −0.818146 | − | 0.575011i | \(-0.804998\pi\) | ||||
−0.818146 | + | 0.575011i | \(0.804998\pi\) | |||||||
\(338\) | −66.1309 | − | 88.5722i | −0.195654 | − | 0.262048i | ||||
\(339\) | 267.857 | − | 154.647i | 0.790138 | − | 0.456186i | ||||
\(340\) | −88.5972 | + | 298.955i | −0.260580 | + | 0.879279i | ||||
\(341\) | 10.6595 | − | 18.4628i | 0.0312596 | − | 0.0541431i | ||||
\(342\) | 97.6084 | + | 41.9435i | 0.285405 | + | 0.122642i | ||||
\(343\) | −297.246 | + | 171.154i | −0.866606 | + | 0.498993i | ||||
\(344\) | −54.8252 | − | 148.700i | −0.159376 | − | 0.432269i | ||||
\(345\) | −281.566 | + | 487.686i | −0.816132 | + | 1.41358i | ||||
\(346\) | 227.921 | − | 26.9610i | 0.658730 | − | 0.0779221i | ||||
\(347\) | −356.182 | + | 205.642i | −1.02646 | + | 0.592628i | −0.915969 | − | 0.401249i | \(-0.868576\pi\) |
−0.110493 | + | 0.993877i | \(0.535243\pi\) | |||||||
\(348\) | 18.2034 | + | 75.8666i | 0.0523087 | + | 0.218008i | ||||
\(349\) | −402.535 | −1.15340 | −0.576698 | − | 0.816957i | \(-0.695659\pi\) | ||||
−0.576698 | + | 0.816957i | \(0.695659\pi\) | |||||||
\(350\) | −176.632 | − | 166.310i | −0.504663 | − | 0.475171i | ||||
\(351\) | 307.031i | 0.874732i | ||||||||
\(352\) | 10.8488 | + | 16.2479i | 0.0308204 | + | 0.0461587i | ||||
\(353\) | 29.9594 | + | 51.8913i | 0.0848709 | + | 0.147001i | 0.905336 | − | 0.424696i | \(-0.139619\pi\) |
−0.820465 | + | 0.571696i | \(0.806286\pi\) | |||||||
\(354\) | 197.199 | − | 23.3269i | 0.557058 | − | 0.0658951i | ||||
\(355\) | −322.223 | − | 186.035i | −0.907669 | − | 0.524043i | ||||
\(356\) | 68.0205 | + | 71.6975i | 0.191069 | + | 0.201397i | ||||
\(357\) | −138.623 | + | 116.227i | −0.388301 | + | 0.325567i | ||||
\(358\) | −49.3065 | − | 21.1876i | −0.137728 | − | 0.0591832i | ||||
\(359\) | 121.860 | + | 70.3559i | 0.339443 | + | 0.195977i | 0.660026 | − | 0.751243i | \(-0.270545\pi\) |
−0.320583 | + | 0.947221i | \(0.603879\pi\) | |||||||
\(360\) | −173.952 | − | 144.732i | −0.483199 | − | 0.402033i | ||||
\(361\) | −105.861 | − | 183.356i | −0.293243 | − | 0.507912i | ||||
\(362\) | −55.6857 | − | 74.5824i | −0.153828 | − | 0.206029i | ||||
\(363\) | − | 260.185i | − | 0.716763i | ||||||
\(364\) | −239.944 | − | 177.742i | −0.659188 | − | 0.488303i | ||||
\(365\) | −366.481 | −1.00406 | ||||||||
\(366\) | 145.896 | − | 108.931i | 0.398622 | − | 0.297625i | ||||
\(367\) | 288.714 | − | 166.689i | 0.786686 | − | 0.454193i | −0.0521085 | − | 0.998641i | \(-0.516594\pi\) |
0.838795 | + | 0.544448i | \(0.183261\pi\) | |||||||
\(368\) | −291.338 | − | 572.154i | −0.791679 | − | 1.55477i | ||||
\(369\) | −55.9503 | + | 96.9087i | −0.151627 | + | 0.262625i | ||||
\(370\) | 261.057 | − | 607.517i | 0.705559 | − | 1.64194i | ||||
\(371\) | 185.300 | − | 32.5994i | 0.499462 | − | 0.0878690i | ||||
\(372\) | 207.353 | + | 218.562i | 0.557401 | + | 0.587533i | ||||
\(373\) | 128.721 | − | 222.951i | 0.345095 | − | 0.597723i | −0.640276 | − | 0.768145i | \(-0.721180\pi\) |
0.985371 | + | 0.170423i | \(0.0545133\pi\) | |||||||
\(374\) | −1.71861 | − | 14.5286i | −0.00459521 | − | 0.0388466i | ||||
\(375\) | −93.2261 | + | 53.8241i | −0.248603 | + | 0.143531i | ||||
\(376\) | −371.320 | − | 63.8796i | −0.987553 | − | 0.169893i | ||||
\(377\) | 96.4384 | 0.255805 | ||||||||
\(378\) | −115.985 | − | 386.011i | −0.306839 | − | 1.02119i | ||||
\(379\) | − | 122.957i | − | 0.324426i | −0.986756 | − | 0.162213i | \(-0.948137\pi\) | ||
0.986756 | − | 0.162213i | \(-0.0518631\pi\) | |||||||
\(380\) | −74.1866 | − | 309.188i | −0.195228 | − | 0.813653i | ||||
\(381\) | 89.5190 | + | 155.052i | 0.234958 | + | 0.406959i | ||||
\(382\) | 17.7200 | + | 149.800i | 0.0463875 | + | 0.392146i | ||||
\(383\) | 302.009 | + | 174.365i | 0.788535 | + | 0.455261i | 0.839446 | − | 0.543442i | \(-0.182879\pi\) |
−0.0509116 | + | 0.998703i | \(0.516213\pi\) | |||||||
\(384\) | −263.706 | + | 81.7503i | −0.686736 | + | 0.212891i | ||||
\(385\) | 26.1244 | + | 9.51998i | 0.0678556 | + | 0.0247272i | ||||
\(386\) | −131.130 | + | 305.158i | −0.339715 | + | 0.790564i | ||||
\(387\) | −74.5905 | − | 43.0649i | −0.192740 | − | 0.111279i | ||||
\(388\) | −124.902 | + | 421.461i | −0.321913 | + | 1.08624i | ||||
\(389\) | 176.689 | + | 306.035i | 0.454215 | + | 0.786723i | 0.998643 | − | 0.0520848i | \(-0.0165866\pi\) |
−0.544428 | + | 0.838808i | \(0.683253\pi\) | |||||||
\(390\) | 239.838 | − | 179.071i | 0.614969 | − | 0.459156i | ||||
\(391\) | 480.796i | 1.22966i | ||||||||
\(392\) | 368.812 | + | 132.822i | 0.940847 | + | 0.338831i | ||||
\(393\) | −63.6023 | −0.161838 | ||||||||
\(394\) | 334.717 | + | 448.302i | 0.849536 | + | 1.13782i | ||||
\(395\) | 103.638 | − | 59.8356i | 0.262375 | − | 0.151482i | ||||
\(396\) | 10.1798 | + | 3.01684i | 0.0257065 | + | 0.00761829i | ||||
\(397\) | −91.1659 | + | 157.904i | −0.229637 | + | 0.397743i | −0.957701 | − | 0.287767i | \(-0.907087\pi\) |
0.728064 | + | 0.685510i | \(0.240421\pi\) | |||||||
\(398\) | −0.505957 | − | 0.217416i | −0.00127125 | − | 0.000546270i | ||||
\(399\) | 63.1607 | − | 173.324i | 0.158298 | − | 0.434395i | ||||
\(400\) | −14.5835 | + | 276.880i | −0.0364588 | + | 0.692201i | ||||
\(401\) | −172.934 | + | 299.530i | −0.431257 | + | 0.746959i | −0.996982 | − | 0.0776352i | \(-0.975263\pi\) |
0.565725 | + | 0.824594i | \(0.308596\pi\) | |||||||
\(402\) | −119.014 | + | 14.0784i | −0.296056 | + | 0.0350208i | ||||
\(403\) | 322.503 | − | 186.197i | 0.800255 | − | 0.462028i | ||||
\(404\) | 167.841 | − | 40.2717i | 0.415448 | − | 0.0996825i | ||||
\(405\) | 149.439 | 0.368986 | ||||||||
\(406\) | −121.246 | + | 36.4310i | −0.298635 | + | 0.0897315i | ||||
\(407\) | 31.0248i | 0.0762281i | ||||||||
\(408\) | 203.751 | + | 35.0521i | 0.499390 | + | 0.0859120i | ||||
\(409\) | −152.896 | − | 264.823i | −0.373828 | − | 0.647489i | 0.616323 | − | 0.787494i | \(-0.288622\pi\) |
−0.990151 | + | 0.140005i | \(0.955288\pi\) | |||||||
\(410\) | 332.591 | − | 39.3426i | 0.811197 | − | 0.0959575i | ||||
\(411\) | −43.9290 | − | 25.3624i | −0.106883 | − | 0.0617090i | ||||
\(412\) | 437.065 | − | 414.650i | 1.06084 | − | 1.00643i | ||||
\(413\) | 55.8300 | + | 317.347i | 0.135181 | + | 0.768394i | ||||
\(414\) | −320.584 | − | 137.759i | −0.774358 | − | 0.332751i | ||||
\(415\) | −210.601 | − | 121.590i | −0.507472 | − | 0.292989i | ||||
\(416\) | 22.2081 | + | 340.541i | 0.0533848 | + | 0.818608i | ||||
\(417\) | −276.276 | − | 478.524i | −0.662532 | − | 1.14754i | ||||
\(418\) | 8.92550 | + | 11.9543i | 0.0213529 | + | 0.0285989i | ||||
\(419\) | 749.709i | 1.78928i | 0.446786 | + | 0.894641i | \(0.352569\pi\) | ||||
−0.446786 | + | 0.894641i | \(0.647431\pi\) | |||||||
\(420\) | −233.887 | + | 315.737i | −0.556873 | + | 0.751755i | ||||
\(421\) | 356.196 | 0.846070 | 0.423035 | − | 0.906113i | \(-0.360965\pi\) | ||||
0.423035 | + | 0.906113i | \(0.360965\pi\) | |||||||
\(422\) | 482.801 | − | 360.476i | 1.14408 | − | 0.854208i | ||||
\(423\) | −177.327 | + | 102.380i | −0.419214 | + | 0.242033i | ||||
\(424\) | −165.293 | − | 137.527i | −0.389841 | − | 0.324357i | ||||
\(425\) | 103.813 | − | 179.809i | 0.244265 | − | 0.423080i | ||||
\(426\) | −97.3990 | + | 226.661i | −0.228636 | + | 0.532069i | ||||
\(427\) | 189.823 | + | 226.401i | 0.444551 | + | 0.530213i | ||||
\(428\) | 117.789 | − | 111.748i | 0.275208 | − | 0.261094i | ||||
\(429\) | −7.02186 | + | 12.1622i | −0.0163680 | + | 0.0283502i | ||||
\(430\) | 30.2819 | + | 255.995i | 0.0704231 | + | 0.595336i | ||||
\(431\) | −163.925 | + | 94.6420i | −0.380336 | + | 0.219587i | −0.677964 | − | 0.735095i | \(-0.737138\pi\) |
0.297629 | + | 0.954682i | \(0.403804\pi\) | |||||||
\(432\) | −250.984 | + | 386.259i | −0.580980 | + | 0.894118i | ||||
\(433\) | 771.353 | 1.78142 | 0.890708 | − | 0.454575i | \(-0.150209\pi\) | ||||
0.890708 | + | 0.454575i | \(0.150209\pi\) | |||||||
\(434\) | −335.124 | + | 355.924i | −0.772176 | + | 0.820102i | ||||
\(435\) | − | 126.901i | − | 0.291726i | ||||||
\(436\) | 258.777 | − | 62.0909i | 0.593525 | − | 0.142410i | ||||
\(437\) | −245.145 | − | 424.603i | −0.560972 | − | 0.971632i | ||||
\(438\) | 28.5453 | + | 241.313i | 0.0651718 | + | 0.550944i | ||||
\(439\) | −695.621 | − | 401.617i | −1.58456 | − | 0.914845i | −0.994181 | − | 0.107718i | \(-0.965646\pi\) |
−0.590377 | − | 0.807127i | \(-0.701021\pi\) | |||||||
\(440\) | −10.9927 | − | 29.8152i | −0.0249835 | − | 0.0677617i | ||||
\(441\) | 200.243 | − | 72.7069i | 0.454067 | − | 0.164868i | ||||
\(442\) | 100.893 | − | 234.791i | 0.228264 | − | 0.531202i | ||||
\(443\) | −627.440 | − | 362.253i | −1.41634 | − | 0.817726i | −0.420368 | − | 0.907354i | \(-0.638099\pi\) |
−0.995975 | + | 0.0896276i | \(0.971432\pi\) | |||||||
\(444\) | −420.360 | − | 124.576i | −0.946756 | − | 0.280577i | ||||
\(445\) | −80.3742 | − | 139.212i | −0.180616 | − | 0.312836i | ||||
\(446\) | −344.611 | + | 257.298i | −0.772670 | + | 0.576901i | ||||
\(447\) | − | 193.186i | − | 0.432184i | ||||||
\(448\) | −156.565 | − | 419.752i | −0.349476 | − | 0.936945i | ||||
\(449\) | 675.025 | 1.50340 | 0.751698 | − | 0.659507i | \(-0.229235\pi\) | ||||
0.751698 | + | 0.659507i | \(0.229235\pi\) | |||||||
\(450\) | 90.1481 | + | 120.739i | 0.200329 | + | 0.268310i | ||||
\(451\) | −13.6086 | + | 7.85694i | −0.0301743 | + | 0.0174212i | ||||
\(452\) | 162.978 | − | 549.940i | 0.360571 | − | 1.21668i | ||||
\(453\) | −50.8437 | + | 88.0638i | −0.112238 | + | 0.194401i | ||||
\(454\) | −774.337 | − | 332.741i | −1.70559 | − | 0.732911i | ||||
\(455\) | 312.050 | + | 372.180i | 0.685825 | + | 0.817978i | ||||
\(456\) | −197.810 | + | 72.9317i | −0.433794 | + | 0.159938i | ||||
\(457\) | −181.945 | + | 315.138i | −0.398129 | + | 0.689579i | −0.993495 | − | 0.113875i | \(-0.963674\pi\) |
0.595366 | + | 0.803454i | \(0.297007\pi\) | |||||||
\(458\) | −90.4242 | + | 10.6964i | −0.197433 | + | 0.0233546i | ||||
\(459\) | 298.730 | − | 172.472i | 0.650827 | − | 0.375755i | ||||
\(460\) | 243.658 | + | 1015.50i | 0.529692 | + | 2.20760i | ||||
\(461\) | −233.360 | −0.506205 | −0.253102 | − | 0.967439i | \(-0.581451\pi\) | ||||
−0.253102 | + | 0.967439i | \(0.581451\pi\) | |||||||
\(462\) | 4.23370 | − | 17.9434i | 0.00916385 | − | 0.0388386i | ||||
\(463\) | − | 872.151i | − | 1.88370i | −0.336040 | − | 0.941848i | \(-0.609088\pi\) | ||
0.336040 | − | 0.941848i | \(-0.390912\pi\) | |||||||
\(464\) | 121.324 | + | 78.8339i | 0.261474 | + | 0.169901i | ||||
\(465\) | −245.012 | − | 424.374i | −0.526908 | − | 0.912632i | ||||
\(466\) | −300.796 | + | 35.5815i | −0.645484 | + | 0.0763552i | ||||
\(467\) | 664.940 | + | 383.903i | 1.42386 | + | 0.822063i | 0.996626 | − | 0.0820802i | \(-0.0261564\pi\) |
0.427229 | + | 0.904143i | \(0.359490\pi\) | |||||||
\(468\) | 127.646 | + | 134.546i | 0.272748 | + | 0.287492i | ||||
\(469\) | −33.6948 | − | 191.527i | −0.0718439 | − | 0.408373i | ||||
\(470\) | 563.048 | + | 241.948i | 1.19797 | + | 0.514783i | ||||
\(471\) | −537.586 | − | 310.376i | −1.14137 | − | 0.658972i | ||||
\(472\) | 235.530 | − | 283.081i | 0.499005 | − | 0.599748i | ||||
\(473\) | −6.04748 | − | 10.4745i | −0.0127854 | − | 0.0221449i | ||||
\(474\) | −47.4718 | − | 63.5811i | −0.100151 | − | 0.134137i | ||||
\(475\) | 211.725i | 0.445737i | ||||||||
\(476\) | −38.1502 | + | 333.302i | −0.0801474 | + | 0.700215i | ||||
\(477\) | −116.856 | −0.244981 | ||||||||
\(478\) | −322.097 | + | 240.488i | −0.673843 | + | 0.503113i | ||||
\(479\) | 682.194 | − | 393.865i | 1.42421 | − | 0.822265i | 0.427550 | − | 0.903992i | \(-0.359377\pi\) |
0.996655 | + | 0.0817264i | \(0.0260434\pi\) | |||||||
\(480\) | 448.109 | − | 29.2231i | 0.933561 | − | 0.0608814i | ||||
\(481\) | −270.966 | + | 469.327i | −0.563340 | + | 0.975733i | ||||
\(482\) | 196.326 | − | 456.878i | 0.407315 | − | 0.947879i | ||||
\(483\) | −207.445 | + | 569.263i | −0.429492 | + | 1.17860i | ||||
\(484\) | −332.091 | − | 350.043i | −0.686139 | − | 0.723230i | ||||
\(485\) | 357.492 | − | 619.194i | 0.737096 | − | 1.27669i | ||||
\(486\) | 49.2365 | + | 416.231i | 0.101310 | + | 0.856443i | ||||
\(487\) | −31.8410 | + | 18.3834i | −0.0653819 | + | 0.0377483i | −0.532335 | − | 0.846534i | \(-0.678685\pi\) |
0.466953 | + | 0.884282i | \(0.345352\pi\) | |||||||
\(488\) | 57.2474 | − | 332.768i | 0.117310 | − | 0.681902i | ||||
\(489\) | −29.3742 | −0.0600699 | ||||||||
\(490\) | −532.918 | − | 350.037i | −1.08759 | − | 0.714362i | ||||
\(491\) | − | 413.002i | − | 0.841145i | −0.907259 | − | 0.420573i | \(-0.861829\pi\) | ||
0.907259 | − | 0.420573i | \(-0.138171\pi\) | |||||||
\(492\) | −51.8111 | − | 215.934i | −0.105307 | − | 0.438889i | ||||
\(493\) | −54.1733 | − | 93.8310i | −0.109885 | − | 0.190327i | ||||
\(494\) | 30.6129 | + | 258.793i | 0.0619695 | + | 0.523872i | ||||
\(495\) | −14.9558 | − | 8.63471i | −0.0302137 | − | 0.0174439i | ||||
\(496\) | 557.931 | + | 29.3867i | 1.12486 | + | 0.0592474i | ||||
\(497\) | −376.122 | − | 137.062i | −0.756785 | − | 0.275779i | ||||
\(498\) | −63.6588 | + | 148.143i | −0.127829 | + | 0.297476i | ||||
\(499\) | 585.830 | + | 338.229i | 1.17401 | + | 0.677814i | 0.954621 | − | 0.297824i | \(-0.0962607\pi\) |
0.219388 | + | 0.975638i | \(0.429594\pi\) | |||||||
\(500\) | −56.7237 | + | 191.404i | −0.113447 | + | 0.382807i | ||||
\(501\) | 260.543 | + | 451.274i | 0.520047 | + | 0.900747i | ||||
\(502\) | 363.608 | − | 271.482i | 0.724319 | − | 0.540801i | ||||
\(503\) | − | 88.3032i | − | 0.175553i | −0.996140 | − | 0.0877765i | \(-0.972024\pi\) | ||
0.996140 | − | 0.0877765i | \(-0.0279761\pi\) | |||||||
\(504\) | −211.308 | − | 120.936i | −0.419262 | − | 0.239953i | ||||
\(505\) | −280.745 | −0.555930 | ||||||||
\(506\) | −29.3149 | − | 39.2627i | −0.0579345 | − | 0.0775943i | ||||
\(507\) | 103.239 | − | 59.6050i | 0.203627 | − | 0.117564i | ||||
\(508\) | 318.338 | + | 94.3415i | 0.626650 | + | 0.185712i | ||||
\(509\) | 130.134 | − | 225.399i | 0.255666 | − | 0.442827i | −0.709410 | − | 0.704796i | \(-0.751039\pi\) |
0.965076 | + | 0.261969i | \(0.0843719\pi\) | |||||||
\(510\) | −308.956 | − | 132.762i | −0.605796 | − | 0.260318i | ||||
\(511\) | −388.339 | + | 68.3195i | −0.759959 | + | 0.133698i | ||||
\(512\) | −250.438 | + | 446.570i | −0.489136 | + | 0.872207i | ||||
\(513\) | −175.877 | + | 304.628i | −0.342841 | + | 0.593818i | ||||
\(514\) | −705.414 | + | 83.4443i | −1.37240 | + | 0.162343i | ||||
\(515\) | −848.633 | + | 489.958i | −1.64783 | + | 0.951375i | ||||
\(516\) | 166.204 | − | 39.8789i | 0.322100 | − | 0.0772848i | ||||
\(517\) | −28.7539 | −0.0556168 | ||||||||
\(518\) | 163.374 | − | 692.418i | 0.315394 | − | 1.33671i | ||||
\(519\) | 247.519i | 0.476914i | ||||||||
\(520\) | 94.1089 | − | 547.037i | 0.180979 | − | 1.05199i | ||||
\(521\) | 296.145 | + | 512.939i | 0.568417 | + | 0.984528i | 0.996723 | + | 0.0808936i | \(0.0257774\pi\) |
−0.428305 | + | 0.903634i | \(0.640889\pi\) | |||||||
\(522\) | 78.0864 | − | 9.23694i | 0.149591 | − | 0.0176953i | ||||
\(523\) | 417.637 | + | 241.123i | 0.798541 | + | 0.461038i | 0.842961 | − | 0.537975i | \(-0.180811\pi\) |
−0.0444199 | + | 0.999013i | \(0.514144\pi\) | |||||||
\(524\) | −85.5682 | + | 81.1799i | −0.163298 | + | 0.154923i | ||||
\(525\) | 200.495 | − | 168.103i | 0.381895 | − | 0.320196i | ||||
\(526\) | 717.746 | + | 308.424i | 1.36454 | + | 0.586357i | ||||
\(527\) | −362.326 | − | 209.189i | −0.687526 | − | 0.396943i | ||||
\(528\) | −18.7759 | + | 9.56059i | −0.0355604 | + | 0.0181072i | ||||
\(529\) | 540.652 | + | 936.437i | 1.02203 | + | 1.77020i | ||||
\(530\) | 209.240 | + | 280.245i | 0.394793 | + | 0.528764i | ||||
\(531\) | − | 200.128i | − | 0.376889i | ||||||
\(532\) | −136.250 | − | 313.800i | −0.256110 | − | 0.589849i | ||||
\(533\) | −274.485 | −0.514982 | ||||||||
\(534\) | −85.4055 | + | 63.7666i | −0.159935 | + | 0.119413i | ||||
\(535\) | −228.706 | + | 132.044i | −0.427488 | + | 0.246810i | ||||
\(536\) | −142.148 | + | 170.847i | −0.265202 | + | 0.318744i | ||||
\(537\) | 28.9385 | − | 50.1230i | 0.0538892 | − | 0.0933389i | ||||
\(538\) | −295.899 | + | 688.600i | −0.549999 | + | 1.27993i | ||||
\(539\) | 29.4573 | + | 5.21767i | 0.0546518 | + | 0.00968027i | ||||
\(540\) | 543.546 | − | 515.671i | 1.00657 | − | 0.954946i | ||||
\(541\) | −190.830 | + | 330.527i | −0.352736 | + | 0.610956i | −0.986728 | − | 0.162383i | \(-0.948082\pi\) |
0.633992 | + | 0.773340i | \(0.281415\pi\) | |||||||
\(542\) | 36.0163 | + | 304.471i | 0.0664507 | + | 0.561755i | ||||
\(543\) | 86.9325 | − | 50.1905i | 0.160097 | − | 0.0924319i | ||||
\(544\) | 318.859 | − | 212.903i | 0.586137 | − | 0.391366i | ||||
\(545\) | −432.852 | −0.794223 | ||||||||
\(546\) | 220.760 | − | 234.462i | 0.404323 | − | 0.429418i | ||||
\(547\) | 826.228i | 1.51047i | 0.655453 | + | 0.755236i | \(0.272478\pi\) | ||||
−0.655453 | + | 0.755236i | \(0.727522\pi\) | |||||||
\(548\) | −91.4722 | + | 21.9478i | −0.166920 | + | 0.0400508i | ||||
\(549\) | −91.7505 | − | 158.917i | −0.167123 | − | 0.289466i | ||||
\(550\) | 2.48567 | + | 21.0132i | 0.00451941 | + | 0.0382058i | ||||
\(551\) | 95.6838 | + | 55.2431i | 0.173655 | + | 0.100260i | ||||
\(552\) | 649.686 | − | 239.537i | 1.17697 | − | 0.433943i | ||||
\(553\) | 98.6651 | − | 82.7247i | 0.178418 | − | 0.149593i | ||||
\(554\) | 355.146 | − | 826.476i | 0.641058 | − | 1.49183i | ||||
\(555\) | 617.576 | + | 356.558i | 1.11275 | + | 0.642447i | ||||
\(556\) | −982.464 | − | 291.159i | −1.76702 | − | 0.523668i | ||||
\(557\) | −179.446 | − | 310.810i | −0.322165 | − | 0.558006i | 0.658769 | − | 0.752345i | \(-0.271077\pi\) |
−0.980935 | + | 0.194339i | \(0.937744\pi\) | |||||||
\(558\) | 243.297 | − | 181.654i | 0.436017 | − | 0.325545i | ||||
\(559\) | − | 211.271i | − | 0.377945i | ||||||
\(560\) | 88.3337 | + | 723.307i | 0.157739 | + | 1.29162i | ||||
\(561\) | 15.7779 | 0.0281245 | ||||||||
\(562\) | −3.91933 | − | 5.24933i | −0.00697389 | − | 0.00934045i | ||||
\(563\) | 80.3362 | − | 46.3821i | 0.142693 | − | 0.0823839i | −0.426954 | − | 0.904273i | \(-0.640413\pi\) |
0.569647 | + | 0.821890i | \(0.307080\pi\) | |||||||
\(564\) | 115.458 | − | 389.590i | 0.204712 | − | 0.690763i | ||||
\(565\) | −466.471 | + | 807.951i | −0.825612 | + | 1.43000i | ||||
\(566\) | −629.000 | − | 270.289i | −1.11131 | − | 0.477542i | ||||
\(567\) | 158.353 | − | 27.8586i | 0.279282 | − | 0.0491333i | ||||
\(568\) | 158.266 | + | 429.259i | 0.278637 | + | 0.755737i | ||||
\(569\) | 188.943 | − | 327.259i | 0.332062 | − | 0.575148i | −0.650854 | − | 0.759203i | \(-0.725589\pi\) |
0.982916 | + | 0.184055i | \(0.0589224\pi\) | |||||||
\(570\) | 340.539 | − | 40.2828i | 0.597437 | − | 0.0706716i | ||||
\(571\) | 686.704 | − | 396.469i | 1.20263 | − | 0.694341i | 0.241494 | − | 0.970402i | \(-0.422363\pi\) |
0.961140 | + | 0.276062i | \(0.0890294\pi\) | |||||||
\(572\) | 6.07650 | + | 25.3251i | 0.0106233 | + | 0.0442746i | ||||
\(573\) | −162.680 | −0.283910 | ||||||||
\(574\) | 345.093 | − | 103.691i | 0.601208 | − | 0.180646i | ||||
\(575\) | − | 695.389i | − | 1.20937i | ||||||
\(576\) | 50.5992 | + | 273.610i | 0.0878458 | + | 0.475017i | ||||
\(577\) | −202.147 | − | 350.129i | −0.350342 | − | 0.606810i | 0.635967 | − | 0.771716i | \(-0.280601\pi\) |
−0.986309 | + | 0.164906i | \(0.947268\pi\) | |||||||
\(578\) | 288.879 | − | 34.1719i | 0.499791 | − | 0.0591209i | ||||
\(579\) | −310.211 | − | 179.100i | −0.535770 | − | 0.309327i | ||||
\(580\) | −161.972 | − | 170.728i | −0.279262 | − | 0.294358i | ||||
\(581\) | −245.829 | − | 89.5823i | −0.423113 | − | 0.154186i | ||||
\(582\) | −435.560 | − | 187.165i | −0.748385 | − | 0.321590i | ||||
\(583\) | −14.2113 | − | 8.20488i | −0.0243761 | − | 0.0140736i | ||||
\(584\) | 346.408 | + | 288.220i | 0.593165 | + | 0.493527i | ||||
\(585\) | −150.829 | − | 261.243i | −0.257827 | − | 0.446569i | ||||
\(586\) | −291.660 | − | 390.634i | −0.497714 | − | 0.666611i | ||||
\(587\) | − | 252.412i | − | 0.430003i | −0.976614 | − | 0.215002i | \(-0.931024\pi\) | ||
0.976614 | − | 0.215002i | \(-0.0689756\pi\) | |||||||
\(588\) | −188.977 | + | 378.170i | −0.321389 | + | 0.643147i | ||||
\(589\) | 426.639 | 0.724345 | ||||||||
\(590\) | −479.949 | + | 358.346i | −0.813473 | + | 0.607366i | ||||
\(591\) | −522.536 | + | 301.686i | −0.884156 | + | 0.510468i | ||||
\(592\) | −724.542 | + | 368.933i | −1.22389 | + | 0.623198i | ||||
\(593\) | 221.333 | − | 383.360i | 0.373243 | − | 0.646476i | −0.616819 | − | 0.787105i | \(-0.711579\pi\) |
0.990062 | + | 0.140629i | \(0.0449124\pi\) | |||||||
\(594\) | −13.8790 | + | 32.2984i | −0.0233653 | + | 0.0543744i | ||||
\(595\) | 186.826 | − | 512.682i | 0.313994 | − | 0.861651i | ||||
\(596\) | −246.576 | − | 259.906i | −0.413719 | − | 0.436083i | ||||
\(597\) | 0.296952 | − | 0.514335i | 0.000497406 | − | 0.000861533i | ||||
\(598\) | −100.545 | − | 849.977i | −0.168135 | − | 1.42137i | ||||
\(599\) | −201.082 | + | 116.095i | −0.335696 | + | 0.193814i | −0.658367 | − | 0.752697i | \(-0.728752\pi\) |
0.322671 | + | 0.946511i | \(0.395419\pi\) | |||||||
\(600\) | −294.691 | − | 50.6969i | −0.491152 | − | 0.0844948i | ||||
\(601\) | 127.875 | 0.212770 | 0.106385 | − | 0.994325i | \(-0.466072\pi\) | ||||
0.106385 | + | 0.994325i | \(0.466072\pi\) | |||||||
\(602\) | 79.8107 | + | 265.618i | 0.132576 | + | 0.441226i | ||||
\(603\) | 120.783i | 0.200303i | ||||||||
\(604\) | 43.9985 | + | 183.373i | 0.0728452 | + | 0.303598i | ||||
\(605\) | 392.405 | + | 679.665i | 0.648603 | + | 1.12341i | ||||
\(606\) | 21.8673 | + | 184.859i | 0.0360846 | + | 0.305049i | ||||
\(607\) | −166.162 | − | 95.9334i | −0.273742 | − | 0.158045i | 0.356845 | − | 0.934164i | \(-0.383852\pi\) |
−0.630587 | + | 0.776119i | \(0.717186\pi\) | |||||||
\(608\) | −173.039 | + | 350.598i | −0.284603 | + | 0.576641i | ||||
\(609\) | −23.6569 | − | 134.470i | −0.0388455 | − | 0.220804i | ||||
\(610\) | −216.828 | + | 504.590i | −0.355456 | + | 0.827197i | ||||
\(611\) | −434.974 | − | 251.132i | −0.711905 | − | 0.411018i | ||||
\(612\) | 59.2045 | − | 199.775i | 0.0967393 | − | 0.326429i | ||||
\(613\) | −163.435 | − | 283.077i | −0.266615 | − | 0.461790i | 0.701371 | − | 0.712797i | \(-0.252572\pi\) |
−0.967985 | + | 0.251006i | \(0.919238\pi\) | |||||||
\(614\) | −93.6744 | + | 69.9404i | −0.152564 | + | 0.113909i | ||||
\(615\) | 361.189i | 0.587299i | ||||||||
\(616\) | −17.2065 | − | 29.5442i | −0.0279327 | − | 0.0479613i | ||||
\(617\) | −557.014 | −0.902778 | −0.451389 | − | 0.892327i | \(-0.649071\pi\) | ||||
−0.451389 | + | 0.892327i | \(0.649071\pi\) | |||||||
\(618\) | 388.719 | + | 520.628i | 0.628994 | + | 0.842441i | ||||
\(619\) | 405.320 | − | 234.011i | 0.654798 | − | 0.378048i | −0.135494 | − | 0.990778i | \(-0.543262\pi\) |
0.790292 | + | 0.612731i | \(0.209929\pi\) | |||||||
\(620\) | −871.287 | − | 258.211i | −1.40530 | − | 0.416470i | ||||
\(621\) | 577.650 | − | 1000.52i | 0.930194 | − | 1.61114i | ||||
\(622\) | 228.564 | + | 98.2166i | 0.367466 | + | 0.157905i | ||||
\(623\) | −111.120 | − | 132.532i | −0.178363 | − | 0.212732i | ||||
\(624\) | −367.533 | − | 19.3583i | −0.588994 | − | 0.0310228i | ||||
\(625\) | 378.965 | − | 656.387i | 0.606344 | − | 1.05022i | ||||
\(626\) | 956.234 | − | 113.114i | 1.52753 | − | 0.180694i | ||||
\(627\) | −13.9338 | + | 8.04471i | −0.0222230 | + | 0.0128305i | ||||
\(628\) | −1119.40 | + | 268.590i | −1.78249 | + | 0.427690i | ||||
\(629\) | 608.851 | 0.967967 | ||||||||
\(630\) | 288.316 | + | 271.467i | 0.457644 | + | 0.430900i | ||||
\(631\) | 557.865i | 0.884096i | 0.896991 | + | 0.442048i | \(0.145748\pi\) | ||||
−0.896991 | + | 0.442048i | \(0.854252\pi\) | |||||||
\(632\) | −145.020 | − | 24.9483i | −0.229462 | − | 0.0394752i | ||||
\(633\) | 324.903 | + | 562.749i | 0.513275 | + | 0.889018i | ||||
\(634\) | 713.321 | − | 84.3796i | 1.12511 | − | 0.133091i | ||||
\(635\) | −467.690 | − | 270.021i | −0.736520 | − | 0.425230i | ||||
\(636\) | 168.233 | − | 159.605i | 0.264517 | − | 0.250951i | ||||
\(637\) | 400.044 | + | 336.206i | 0.628013 | + | 0.527796i | ||||
\(638\) | 10.1449 | + | 4.35939i | 0.0159011 | + | 0.00683290i | ||||
\(639\) | 215.323 | + | 124.317i | 0.336969 | + | 0.194549i | ||||
\(640\) | 565.571 | − | 611.268i | 0.883704 | − | 0.955106i | ||||
\(641\) | −361.777 | − | 626.616i | −0.564395 | − | 0.977560i | −0.997106 | − | 0.0760277i | \(-0.975776\pi\) |
0.432711 | − | 0.901533i | \(-0.357557\pi\) | |||||||
\(642\) | 104.760 | + | 140.309i | 0.163177 | + | 0.218550i | ||||
\(643\) | 145.293i | 0.225961i | 0.993597 | + | 0.112980i | \(0.0360397\pi\) | ||||
−0.993597 | + | 0.112980i | \(0.963960\pi\) | |||||||
\(644\) | 447.500 | + | 1030.64i | 0.694876 | + | 1.60038i | ||||
\(645\) | −278.006 | −0.431018 | ||||||||
\(646\) | 234.599 | − | 175.160i | 0.363157 | − | 0.271145i | ||||
\(647\) | −294.712 | + | 170.152i | −0.455506 | + | 0.262987i | −0.710153 | − | 0.704048i | \(-0.751374\pi\) |
0.254647 | + | 0.967034i | \(0.418041\pi\) | |||||||
\(648\) | −141.254 | − | 117.527i | −0.217985 | − | 0.181369i | ||||
\(649\) | 14.0517 | − | 24.3383i | 0.0216514 | − | 0.0375012i | ||||
\(650\) | −145.924 | + | 339.586i | −0.224498 | + | 0.522439i | ||||
\(651\) | −338.738 | − | 404.010i | −0.520334 | − | 0.620599i | ||||
\(652\) | −39.5190 | + | 37.4923i | −0.0606119 | + | 0.0575035i | ||||
\(653\) | −406.929 | + | 704.822i | −0.623169 | + | 1.07936i | 0.365723 | + | 0.930724i | \(0.380822\pi\) |
−0.988892 | + | 0.148637i | \(0.952512\pi\) | |||||||
\(654\) | 33.7149 | + | 285.016i | 0.0515518 | + | 0.435804i | ||||
\(655\) | 166.145 | − | 95.9236i | 0.253656 | − | 0.146448i | ||||
\(656\) | −345.315 | − | 224.379i | −0.526395 | − | 0.342041i | ||||
\(657\) | 244.898 | 0.372753 | ||||||||
\(658\) | 641.734 | + | 151.415i | 0.975280 | + | 0.230115i | ||||
\(659\) | 939.024i | 1.42492i | 0.701711 | + | 0.712462i | \(0.252420\pi\) | ||||
−0.701711 | + | 0.712462i | \(0.747580\pi\) | |||||||
\(660\) | 33.3247 | − | 7.99592i | 0.0504919 | − | 0.0121150i | ||||
\(661\) | 104.148 | + | 180.389i | 0.157561 | + | 0.272904i | 0.933989 | − | 0.357303i | \(-0.116304\pi\) |
−0.776428 | + | 0.630206i | \(0.782970\pi\) | |||||||
\(662\) | 29.7664 | + | 251.636i | 0.0449643 | + | 0.380115i | ||||
\(663\) | 238.679 | + | 137.802i | 0.359999 | + | 0.207845i | ||||
\(664\) | 103.441 | + | 280.558i | 0.155784 | + | 0.422528i | ||||
\(665\) | 96.4118 | + | 548.021i | 0.144980 | + | 0.824091i | ||||
\(666\) | −174.450 | + | 405.969i | −0.261936 | + | 0.609563i | ||||
\(667\) | −314.263 | − | 181.440i | −0.471159 | − | 0.272024i | ||||
\(668\) | 926.517 | + | 274.579i | 1.38700 | + | 0.411047i | ||||
\(669\) | −231.907 | − | 401.675i | −0.346648 | − | 0.600411i | ||||
\(670\) | 289.661 | − | 216.271i | 0.432331 | − | 0.322792i | ||||
\(671\) | − | 25.7685i | − | 0.0384032i | ||||||
\(672\) | 469.389 | − | 114.503i | 0.698495 | − | 0.170391i | ||||
\(673\) | 634.671 | 0.943048 | 0.471524 | − | 0.881853i | \(-0.343704\pi\) | ||||
0.471524 | + | 0.881853i | \(0.343704\pi\) | |||||||
\(674\) | −659.810 | − | 883.714i | −0.978947 | − | 1.31115i | ||||
\(675\) | −432.062 | + | 249.451i | −0.640091 | + | 0.369557i | ||||
\(676\) | 62.8159 | − | 211.961i | 0.0929230 | − | 0.313552i | ||||
\(677\) | −145.058 | + | 251.248i | −0.214266 | + | 0.371119i | −0.953045 | − | 0.302828i | \(-0.902069\pi\) |
0.738780 | + | 0.673947i | \(0.235402\pi\) | |||||||
\(678\) | 568.338 | + | 244.221i | 0.838256 | + | 0.360208i | ||||
\(679\) | 263.384 | − | 722.769i | 0.387899 | − | 1.06446i | ||||
\(680\) | −585.112 | + | 215.728i | −0.860458 | + | 0.317247i | ||||
\(681\) | 454.466 | − | 787.159i | 0.667351 | − | 1.15589i | ||||
\(682\) | 42.3428 | − | 5.00879i | 0.0620862 | − | 0.00734426i | ||||
\(683\) | 617.155 | − | 356.315i | 0.903595 | − | 0.521691i | 0.0252299 | − | 0.999682i | \(-0.491968\pi\) |
0.878365 | + | 0.477991i | \(0.158635\pi\) | |||||||
\(684\) | 49.5747 | + | 206.613i | 0.0724777 | + | 0.302066i | ||||
\(685\) | 153.004 | 0.223364 | ||||||||
\(686\) | −629.958 | − | 271.568i | −0.918306 | − | 0.395872i | ||||
\(687\) | − | 98.1994i | − | 0.142939i | ||||||
\(688\) | 172.704 | − | 265.789i | 0.251024 | − | 0.386321i | ||||
\(689\) | −143.320 | − | 248.238i | −0.208012 | − | 0.360288i | ||||
\(690\) | −1118.46 | + | 132.305i | −1.62096 | + | 0.191746i | ||||
\(691\) | 350.022 | + | 202.085i | 0.506545 | + | 0.292454i | 0.731412 | − | 0.681936i | \(-0.238862\pi\) |
−0.224868 | + | 0.974389i | \(0.572195\pi\) | |||||||
\(692\) | 315.925 | + | 333.003i | 0.456538 | + | 0.481218i | ||||
\(693\) | −17.4575 | − | 6.36166i | −0.0251912 | − | 0.00917989i | ||||
\(694\) | −755.746 | − | 324.753i | −1.08897 | − | 0.467944i | ||||
\(695\) | 1443.40 | + | 833.347i | 2.07683 | + | 1.19906i | ||||
\(696\) | −99.8016 | + | 119.950i | −0.143393 | + | 0.172342i | ||||
\(697\) | 154.190 | + | 267.064i | 0.221219 | + | 0.383162i | ||||
\(698\) | −481.651 | − | 645.097i | −0.690045 | − | 0.924208i | ||||
\(699\) | − | 326.660i | − | 0.467324i | ||||||
\(700\) | 55.1777 | − | 482.065i | 0.0788253 | − | 0.688664i | ||||
\(701\) | −111.341 | −0.158831 | −0.0794156 | − | 0.996842i | \(-0.525305\pi\) | ||||
−0.0794156 | + | 0.996842i | \(0.525305\pi\) | |||||||
\(702\) | −492.043 | + | 367.376i | −0.700916 | + | 0.523327i | ||||
\(703\) | −537.692 | + | 310.437i | −0.764854 | + | 0.441589i | ||||
\(704\) | −13.0576 | + | 36.8274i | −0.0185477 | + | 0.0523116i | ||||
\(705\) | −330.459 | + | 572.371i | −0.468736 | + | 0.811874i | ||||
\(706\) | −47.3124 | + | 110.103i | −0.0670148 | + | 0.155953i | ||||
\(707\) | −297.489 | + | 52.3365i | −0.420777 | + | 0.0740262i | ||||
\(708\) | 273.340 | + | 288.116i | 0.386074 | + | 0.406944i | ||||
\(709\) | −386.373 | + | 669.217i | −0.544955 | + | 0.943889i | 0.453655 | + | 0.891177i | \(0.350120\pi\) |
−0.998610 | + | 0.0527117i | \(0.983214\pi\) | |||||||
\(710\) | −87.4160 | − | 738.989i | −0.123121 | − | 1.04083i | ||||
\(711\) | −69.2556 | + | 39.9847i | −0.0974059 | + | 0.0562373i | ||||
\(712\) | −33.5119 | + | 194.798i | −0.0470672 | + | 0.273593i | ||||
\(713\) | −1401.25 | −1.96529 | ||||||||
\(714\) | −352.133 | − | 83.0848i | −0.493184 | − | 0.116365i | ||||
\(715\) | − | 42.3609i | − | 0.0592460i | ||||||
\(716\) | −25.0425 | − | 104.370i | −0.0349756 | − | 0.145768i | ||||
\(717\) | −216.756 | − | 375.433i | −0.302310 | − | 0.523616i | ||||
\(718\) | 33.0595 | + | 279.475i | 0.0460438 | + | 0.389241i | ||||
\(719\) | −803.582 | − | 463.948i | −1.11764 | − | 0.645269i | −0.176841 | − | 0.984239i | \(-0.556588\pi\) |
−0.940797 | + | 0.338971i | \(0.889921\pi\) | |||||||
\(720\) | 23.8046 | − | 451.951i | 0.0330620 | − | 0.627710i | ||||
\(721\) | −807.910 | + | 677.384i | −1.12054 | + | 0.939506i | ||||
\(722\) | 167.177 | − | 389.045i | 0.231547 | − | 0.538843i | ||||
\(723\) | 464.443 | + | 268.146i | 0.642383 | + | 0.370880i | ||||
\(724\) | 52.8943 | − | 178.482i | 0.0730585 | − | 0.246522i | ||||
\(725\) | 78.3525 | + | 135.711i | 0.108072 | + | 0.187187i | ||||
\(726\) | 416.969 | − | 311.323i | 0.574337 | − | 0.428819i | ||||
\(727\) | − | 811.924i | − | 1.11681i | −0.829567 | − | 0.558407i | \(-0.811413\pi\) | ||
0.829567 | − | 0.558407i | \(-0.188587\pi\) | |||||||
\(728\) | −2.25684 | − | 597.208i | −0.00310006 | − | 0.820341i | ||||
\(729\) | −658.744 | −0.903627 | ||||||||
\(730\) | −438.510 | − | 587.317i | −0.600699 | − | 0.804544i | ||||
\(731\) | −205.559 | + | 118.680i | −0.281202 | + | 0.162352i | ||||
\(732\) | 349.141 | + | 103.470i | 0.476969 | + | 0.141353i | ||||
\(733\) | 495.396 | − | 858.052i | 0.675848 | − | 1.17060i | −0.300373 | − | 0.953822i | \(-0.597111\pi\) |
0.976220 | − | 0.216781i | \(-0.0695556\pi\) | |||||||
\(734\) | 612.592 | + | 263.238i | 0.834594 | + | 0.358635i | ||||
\(735\) | 442.405 | − | 526.409i | 0.601912 | − | 0.716202i | ||||
\(736\) | 568.327 | − | 1151.50i | 0.772184 | − | 1.56454i | ||||
\(737\) | −8.48057 | + | 14.6888i | −0.0115069 | + | 0.0199305i | ||||
\(738\) | −222.252 | + | 26.2904i | −0.301154 | + | 0.0356239i | ||||
\(739\) | −989.673 | + | 571.388i | −1.33921 | + | 0.773191i | −0.986690 | − | 0.162615i | \(-0.948007\pi\) |
−0.352516 | + | 0.935806i | \(0.614674\pi\) | |||||||
\(740\) | 1285.96 | − | 308.554i | 1.73779 | − | 0.416965i | ||||
\(741\) | −281.045 | −0.379278 | ||||||||
\(742\) | 273.963 | + | 257.953i | 0.369223 | + | 0.347646i | ||||
\(743\) | 143.488i | 0.193120i | 0.995327 | + | 0.0965601i | \(0.0307840\pi\) | ||||
−0.995327 | + | 0.0965601i | \(0.969216\pi\) | |||||||
\(744\) | −102.157 | + | 593.821i | −0.137308 | + | 0.798146i | ||||
\(745\) | 291.359 | + | 504.649i | 0.391086 | + | 0.677381i | ||||
\(746\) | 511.317 | − | 60.4844i | 0.685412 | − | 0.0810783i | ||||
\(747\) | 140.733 | + | 81.2520i | 0.188397 | + | 0.108771i | ||||
\(748\) | 21.2270 | − | 20.1383i | 0.0283783 | − | 0.0269229i | ||||
\(749\) | −217.732 | + | 182.555i | −0.290696 | + | 0.243731i | ||||
\(750\) | −197.807 | − | 84.9999i | −0.263742 | − | 0.113333i | ||||
\(751\) | 1202.40 | + | 694.203i | 1.60106 | + | 0.924372i | 0.991276 | + | 0.131804i | \(0.0420769\pi\) |
0.609783 | + | 0.792568i | \(0.291256\pi\) | |||||||
\(752\) | −341.928 | − | 671.507i | −0.454691 | − | 0.892961i | ||||
\(753\) | 244.692 | + | 423.818i | 0.324956 | + | 0.562840i | ||||
\(754\) | 115.393 | + | 154.551i | 0.153041 | + | 0.204975i | ||||
\(755\) | − | 306.725i | − | 0.406258i | ||||||
\(756\) | 479.834 | − | 647.755i | 0.634701 | − | 0.856819i | ||||
\(757\) | 206.398 | 0.272652 | 0.136326 | − | 0.990664i | \(-0.456470\pi\) | ||||
0.136326 | + | 0.990664i | \(0.456470\pi\) | |||||||
\(758\) | 197.050 | − | 147.124i | 0.259960 | − | 0.194095i | ||||
\(759\) | 45.7642 | − | 26.4220i | 0.0602954 | − | 0.0348116i | ||||
\(760\) | 406.733 | − | 488.848i | 0.535175 | − | 0.643221i | ||||
\(761\) | 284.867 | − | 493.405i | 0.374333 | − | 0.648363i | −0.615894 | − | 0.787829i | \(-0.711205\pi\) |
0.990227 | + | 0.139466i | \(0.0445384\pi\) | |||||||
\(762\) | −141.370 | + | 328.988i | −0.185525 | + | 0.431743i | ||||
\(763\) | −458.669 | + | 80.6924i | −0.601139 | + | 0.105757i | ||||
\(764\) | −218.864 | + | 207.640i | −0.286472 | + | 0.271780i | ||||
\(765\) | −169.453 | + | 293.501i | −0.221507 | + | 0.383662i | ||||
\(766\) | 81.9322 | + | 692.630i | 0.106961 | + | 0.904217i | ||||
\(767\) | 425.134 | − | 245.451i | 0.554282 | − | 0.320015i | ||||
\(768\) | −446.548 | − | 324.794i | −0.581443 | − | 0.422909i | ||||
\(769\) | −945.548 | −1.22958 | −0.614791 | − | 0.788690i | \(-0.710760\pi\) | ||||
−0.614791 | + | 0.788690i | \(0.710760\pi\) | |||||||
\(770\) | 16.0024 | + | 53.2577i | 0.0207824 | + | 0.0691659i | ||||
\(771\) | − | 766.069i | − | 0.993604i | ||||||
\(772\) | −645.944 | + | 154.988i | −0.836715 | + | 0.200761i | ||||
\(773\) | −66.4717 | − | 115.132i | −0.0859918 | − | 0.148942i | 0.819822 | − | 0.572619i | \(-0.194073\pi\) |
−0.905813 | + | 0.423677i | \(0.860739\pi\) | |||||||
\(774\) | −20.2357 | − | 171.067i | −0.0261443 | − | 0.221016i | ||||
\(775\) | 524.043 | + | 302.556i | 0.676184 | + | 0.390395i | ||||
\(776\) | −824.878 | + | 304.129i | −1.06299 | + | 0.391919i | ||||
\(777\) | 720.881 | + | 262.696i | 0.927775 | + | 0.338090i | ||||
\(778\) | −279.031 | + | 649.345i | −0.358652 | + | 0.834633i | ||||
\(779\) | −272.338 | − | 157.234i | −0.349599 | − | 0.201841i | ||||
\(780\) | 573.953 | + | 170.095i | 0.735838 | + | 0.218070i | ||||
\(781\) | 17.4575 | + | 30.2372i | 0.0223527 | + | 0.0387160i | ||||
\(782\) | −770.517 | + | 575.293i | −0.985315 | + | 0.735669i | ||||
\(783\) | 260.346i | 0.332497i | ||||||||
\(784\) | 228.441 | + | 749.980i | 0.291379 | + | 0.956608i | ||||
\(785\) | 1872.41 | 2.38523 | ||||||||
\(786\) | −76.1030 | − | 101.928i | −0.0968231 | − | 0.129680i | ||||
\(787\) | −202.605 | + | 116.974i | −0.257440 | + | 0.148633i | −0.623166 | − | 0.782089i | \(-0.714154\pi\) |
0.365726 | + | 0.930722i | \(0.380821\pi\) | |||||||
\(788\) | −317.939 | + | 1072.83i | −0.403475 | + | 1.36145i | ||||
\(789\) | −421.253 | + | 729.631i | −0.533907 | + | 0.924755i | ||||
\(790\) | 219.899 | + | 94.4933i | 0.278354 | + | 0.119612i | ||||
\(791\) | −343.674 | + | 943.100i | −0.434481 | + | 1.19229i | ||||
\(792\) | 7.34582 | + | 19.9238i | 0.00927502 | + | 0.0251563i | ||||
\(793\) | 225.059 | − | 389.813i | 0.283807 | − | 0.491567i | ||||
\(794\) | −362.139 | + | 42.8379i | −0.456094 | + | 0.0539520i | ||||
\(795\) | −326.651 | + | 188.592i | −0.410881 | + | 0.237222i | ||||
\(796\) | −0.256973 | − | 1.07099i | −0.000322830 | − | 0.00134546i | ||||
\(797\) | 1208.00 | 1.51569 | 0.757843 | − | 0.652437i | \(-0.226253\pi\) | ||||
0.757843 | + | 0.652437i | \(0.226253\pi\) | |||||||
\(798\) | 353.341 | − | 106.169i | 0.442783 | − | 0.133044i | ||||
\(799\) | 564.285i | 0.706239i | ||||||||
\(800\) | −461.175 | + | 307.928i | −0.576468 | + | 0.384910i | ||||
\(801\) | 53.7095 | + | 93.0277i | 0.0670531 | + | 0.116139i | ||||
\(802\) | −686.947 | + | 81.2598i | −0.856542 | + | 0.101321i | ||||
\(803\) | 29.7830 | + | 17.1952i | 0.0370896 | + | 0.0214137i | ||||
\(804\) | −164.968 | − | 173.885i | −0.205184 | − | 0.216275i | ||||
\(805\) | −316.654 | − | 1799.92i | −0.393360 | − | 2.23592i | ||||
\(806\) | 684.286 | + | 294.046i | 0.848990 | + | 0.364821i | ||||
\(807\) | −700.002 | − | 404.147i | −0.867413 | − | 0.500801i | ||||
\(808\) | 265.368 | + | 220.792i | 0.328426 | + | 0.273258i | ||||
\(809\) | −34.7428 | − | 60.1763i | −0.0429453 | − | 0.0743835i | 0.843754 | − | 0.536730i | \(-0.180341\pi\) |
−0.886699 | + | 0.462347i | \(0.847007\pi\) | |||||||
\(810\) | 178.811 | + | 239.490i | 0.220754 | + | 0.295666i | ||||
\(811\) | − | 1095.24i | − | 1.35048i | −0.737599 | − | 0.675239i | \(-0.764041\pi\) | ||
0.737599 | − | 0.675239i | \(-0.235959\pi\) | |||||||
\(812\) | −203.460 | − | 150.716i | −0.250566 | − | 0.185611i | ||||
\(813\) | −330.651 | −0.406705 | ||||||||
\(814\) | −49.7200 | + | 37.1226i | −0.0610810 | + | 0.0456051i | ||||
\(815\) | 76.7325 | − | 44.3015i | 0.0941503 | − | 0.0543577i | ||||
\(816\) | 187.623 | + | 368.470i | 0.229930 | + | 0.451556i | ||||
\(817\) | 121.023 | − | 209.618i | 0.148131 | − | 0.256570i | ||||
\(818\) | 241.455 | − | 561.901i | 0.295178 | − | 0.686920i | ||||
\(819\) | −208.526 | − | 248.707i | −0.254610 | − | 0.303671i | ||||
\(820\) | 461.009 | + | 485.930i | 0.562206 | + | 0.592598i | ||||
\(821\) | 378.010 | − | 654.733i | 0.460427 | − | 0.797483i | −0.538555 | − | 0.842590i | \(-0.681030\pi\) |
0.998982 | + | 0.0451075i | \(0.0143630\pi\) | |||||||
\(822\) | −11.9175 | − | 100.747i | −0.0144982 | − | 0.122563i | ||||
\(823\) | −277.186 | + | 160.033i | −0.336799 | + | 0.194451i | −0.658856 | − | 0.752269i | \(-0.728959\pi\) |
0.322057 | + | 0.946720i | \(0.395626\pi\) | |||||||
\(824\) | 1187.48 | + | 204.287i | 1.44112 | + | 0.247921i | ||||
\(825\) | −22.8200 | −0.0276606 | ||||||||
\(826\) | −441.772 | + | 469.192i | −0.534833 | + | 0.568028i | ||||
\(827\) | − | 104.960i | − | 0.126917i | −0.997984 | − | 0.0634585i | \(-0.979787\pi\) | ||
0.997984 | − | 0.0634585i | \(-0.0202131\pi\) | |||||||
\(828\) | −162.823 | − | 678.599i | −0.196646 | − | 0.819564i | ||||
\(829\) | −408.833 | − | 708.120i | −0.493164 | − | 0.854186i | 0.506804 | − | 0.862061i | \(-0.330827\pi\) |
−0.999969 | + | 0.00787505i | \(0.997493\pi\) | |||||||
\(830\) | −57.1340 | − | 482.994i | −0.0688362 | − | 0.581921i | ||||
\(831\) | 840.161 | + | 485.067i | 1.01102 | + | 0.583715i | ||||
\(832\) | −519.173 | + | 443.063i | −0.624006 | + | 0.532527i | ||||
\(833\) | 102.395 | − | 578.089i | 0.122923 | − | 0.693984i | ||||
\(834\) | 436.300 | − | 1015.33i | 0.523141 | − | 1.21742i | ||||
\(835\) | −1361.20 | − | 785.891i | −1.63018 | − | 0.941187i | ||||
\(836\) | −8.47809 | + | 28.6078i | −0.0101413 | + | 0.0342198i | ||||
\(837\) | 502.659 | + | 870.631i | 0.600548 | + | 1.04018i | ||||
\(838\) | −1201.47 | + | 897.060i | −1.43374 | + | 1.07048i | ||||
\(839\) | 1029.02i | 1.22648i | 0.789896 | + | 0.613240i | \(0.210134\pi\) | ||||
−0.789896 | + | 0.613240i | \(0.789866\pi\) | |||||||
\(840\) | −785.852 | + | 2.96973i | −0.935538 | + | 0.00353539i | ||||
\(841\) | −759.225 | −0.902765 | ||||||||
\(842\) | 426.204 | + | 570.834i | 0.506180 | + | 0.677950i | ||||
\(843\) | 6.11857 | − | 3.53256i | 0.00725809 | − | 0.00419046i | ||||
\(844\) | 1155.39 | + | 342.406i | 1.36894 | + | 0.405694i | ||||
\(845\) | −179.790 | + | 311.405i | −0.212769 | + | 0.368527i | ||||
\(846\) | −376.253 | − | 161.680i | −0.444744 | − | 0.191111i | ||||
\(847\) | 542.513 | + | 647.051i | 0.640511 | + | 0.763933i | ||||
\(848\) | 22.6197 | − | 429.453i | 0.0266741 | − | 0.506430i | ||||
\(849\) | 369.167 | − | 639.416i | 0.434825 | − | 0.753140i | ||||
\(850\) | 412.376 | − | 48.7805i | 0.485148 | − | 0.0573888i | ||||
\(851\) | 1765.99 | − | 1019.60i | 2.07520 | − | 1.19812i | ||||
\(852\) | −479.787 | + | 115.120i | −0.563130 | + | 0.135117i | ||||
\(853\) | 583.808 | 0.684417 | 0.342209 | − | 0.939624i | \(-0.388825\pi\) | ||||
0.342209 | + | 0.939624i | \(0.388825\pi\) | |||||||
\(854\) | −135.695 | + | 575.107i | −0.158893 | + | 0.673427i | ||||
\(855\) | − | 345.598i | − | 0.404209i | ||||||
\(856\) | 320.026 | + | 55.0553i | 0.373862 | + | 0.0643169i | ||||
\(857\) | 549.072 | + | 951.020i | 0.640691 | + | 1.10971i | 0.985279 | + | 0.170955i | \(0.0546852\pi\) |
−0.344588 | + | 0.938754i | \(0.611981\pi\) | |||||||
\(858\) | −27.8930 | + | 3.29950i | −0.0325093 | + | 0.00384557i | ||||
\(859\) | −259.092 | − | 149.587i | −0.301620 | − | 0.174141i | 0.341550 | − | 0.939864i | \(-0.389048\pi\) |
−0.643171 | + | 0.765723i | \(0.722381\pi\) | |||||||
\(860\) | −374.020 | + | 354.838i | −0.434907 | + | 0.412603i | ||||
\(861\) | 67.3329 | + | 382.731i | 0.0782032 | + | 0.444520i | ||||
\(862\) | −347.815 | − | 149.460i | −0.403498 | − | 0.173388i | ||||
\(863\) | −815.368 | − | 470.753i | −0.944807 | − | 0.545485i | −0.0533431 | − | 0.998576i | \(-0.516988\pi\) |
−0.891464 | + | 0.453092i | \(0.850321\pi\) | |||||||
\(864\) | −919.326 | + | 59.9530i | −1.06403 | + | 0.0693901i | ||||
\(865\) | −373.302 | − | 646.578i | −0.431563 | − | 0.747489i | ||||
\(866\) | 922.958 | + | 1236.16i | 1.06577 | + | 1.42744i | ||||
\(867\) | 313.719i | 0.361844i | ||||||||
\(868\) | −971.390 | − | 111.186i | −1.11911 | − | 0.128095i | ||||
\(869\) | −11.2299 | −0.0129228 | ||||||||
\(870\) | 203.370 | − | 151.843i | 0.233758 | − | 0.174532i | ||||
\(871\) | −256.579 | + | 148.136i | −0.294580 | + | 0.170076i | ||||
\(872\) | 409.144 | + | 340.417i | 0.469202 | + | 0.390387i | ||||
\(873\) | −238.891 | + | 413.772i | −0.273644 | + | 0.473966i | ||||
\(874\) | 387.137 | − | 900.922i | 0.442948 | − | 1.03080i | ||||
\(875\) | 119.614 | − | 328.241i | 0.136702 | − | 0.375132i | ||||
\(876\) | −352.570 | + | 334.488i | −0.402477 | + | 0.381836i | ||||
\(877\) | −491.695 | + | 851.640i | −0.560655 | + | 0.971084i | 0.436784 | + | 0.899566i | \(0.356117\pi\) |
−0.997439 | + | 0.0715173i | \(0.977216\pi\) | |||||||
\(878\) | −188.715 | − | 1595.35i | −0.214938 | − | 1.81702i | ||||
\(879\) | 455.319 | − | 262.879i | 0.517996 | − | 0.299065i | ||||
\(880\) | 34.6281 | − | 53.2919i | 0.0393501 | − | 0.0605590i | ||||
\(881\) | −155.250 | −0.176220 | −0.0881102 | − | 0.996111i | \(-0.528083\pi\) | ||||
−0.0881102 | + | 0.996111i | \(0.528083\pi\) | |||||||
\(882\) | 356.119 | + | 233.910i | 0.403763 | + | 0.265204i | ||||
\(883\) | − | 612.809i | − | 0.694008i | −0.937864 | − | 0.347004i | \(-0.887199\pi\) | ||
0.937864 | − | 0.347004i | \(-0.112801\pi\) | |||||||
\(884\) | 496.996 | − | 119.249i | 0.562212 | − | 0.134897i | ||||
\(885\) | −322.984 | − | 559.424i | −0.364953 | − | 0.632117i | ||||
\(886\) | −170.219 | − | 1438.98i | −0.192120 | − | 1.62413i | ||||
\(887\) | 123.796 | + | 71.4737i | 0.139567 | + | 0.0805791i | 0.568158 | − | 0.822920i | \(-0.307656\pi\) |
−0.428591 | + | 0.903499i | \(0.640990\pi\) | |||||||
\(888\) | −303.335 | − | 822.724i | −0.341593 | − | 0.926490i | ||||
\(889\) | −545.923 | − | 198.939i | −0.614087 | − | 0.223779i | ||||
\(890\) | 126.928 | − | 295.380i | 0.142616 | − | 0.331888i | ||||
\(891\) | −12.1446 | − | 7.01167i | −0.0136303 | − | 0.00786944i | ||||
\(892\) | −824.684 | − | 244.400i | −0.924534 | − | 0.273991i | ||||
\(893\) | −287.714 | − | 498.335i | −0.322188 | − | 0.558045i | ||||
\(894\) | 309.597 | − | 231.156i | 0.346306 | − | 0.258563i | ||||
\(895\) | 174.578i | 0.195059i | ||||||||
\(896\) | 485.351 | − | 753.160i | 0.541686 | − | 0.840581i | ||||
\(897\) | 923.063 | 1.02906 | ||||||||
\(898\) | 807.697 | + | 1081.79i | 0.899440 | + | 1.20466i | ||||
\(899\) | 273.465 | − | 157.885i | 0.304188 | − | 0.175623i | ||||
\(900\) | −85.6292 | + | 288.940i | −0.0951435 | + | 0.321045i | ||||
\(901\) | −161.018 | + | 278.891i | −0.178710 | + | 0.309535i | ||||
\(902\) | −28.8747 | − | 12.4078i | −0.0320119 | − | 0.0137559i | ||||
\(903\) | −294.588 | + | 51.8261i | −0.326232 | + | 0.0573932i | ||||
\(904\) | 1076.34 | − | 396.841i | 1.19064 | − | 0.438984i | ||||
\(905\) | −151.392 | + | 262.219i | −0.167284 | + | 0.289745i | ||||
\(906\) | −201.966 | + | 23.8909i | −0.222921 | + | 0.0263696i | ||||
\(907\) | −1169.79 | + | 675.381i | −1.28974 | + | 0.744632i | −0.978608 | − | 0.205735i | \(-0.934042\pi\) |
−0.311132 | + | 0.950367i | \(0.600708\pi\) | |||||||
\(908\) | −393.281 | − | 1639.08i | −0.433129 | − | 1.80516i | ||||
\(909\) | 187.606 | 0.206387 | ||||||||
\(910\) | −223.069 | + | 945.418i | −0.245130 | + | 1.03892i | ||||
\(911\) | − | 215.218i | − | 0.236244i | −0.992999 | − | 0.118122i | \(-0.962313\pi\) | ||
0.992999 | − | 0.118122i | \(-0.0376874\pi\) | |||||||
\(912\) | −353.568 | − | 229.741i | −0.387684 | − | 0.251910i | ||||
\(913\) | 11.4100 | + | 19.7627i | 0.0124973 | + | 0.0216459i | ||||
\(914\) | −722.740 | + | 85.4939i | −0.790744 | + | 0.0935382i | ||||
\(915\) | −512.945 | − | 296.149i | −0.560596 | − | 0.323660i | ||||
\(916\) | −125.338 | − | 132.114i | −0.136832 | − | 0.144229i | ||||
\(917\) | 158.172 | − | 132.618i | 0.172489 | − | 0.144621i | ||||
\(918\) | 633.844 | + | 272.370i | 0.690462 | + | 0.296699i | ||||
\(919\) | −7.65593 | − | 4.42016i | −0.00833072 | − | 0.00480975i | 0.495829 | − | 0.868420i | \(-0.334864\pi\) |
−0.504160 | + | 0.863611i | \(0.668198\pi\) | |||||||
\(920\) | −1335.87 | + | 1605.57i | −1.45204 | + | 1.74518i | ||||
\(921\) | −63.0385 | − | 109.186i | −0.0684457 | − | 0.118551i | ||||
\(922\) | −279.226 | − | 373.980i | −0.302848 | − | 0.405618i | ||||
\(923\) | 609.884i | 0.660763i | ||||||||
\(924\) | 33.8217 | − | 14.6852i | 0.0366036 | − | 0.0158931i | ||||
\(925\) | −880.599 | −0.951999 | ||||||||
\(926\) | 1397.70 | − | 1043.57i | 1.50939 | − | 1.12696i | ||||
\(927\) | 567.093 | − | 327.411i | 0.611751 | − | 0.353195i | ||||
\(928\) | 18.8313 | + | 288.760i | 0.0202923 | + | 0.311164i | ||||
\(929\) | −712.274 | + | 1233.69i | −0.766710 | + | 1.32798i | 0.172627 | + | 0.984987i | \(0.444774\pi\) |
−0.939338 | + | 0.342994i | \(0.888559\pi\) | |||||||
\(930\) | 386.927 | − | 900.435i | 0.416051 | − | 0.968210i | ||||
\(931\) | 204.325 | + | 562.734i | 0.219468 | + | 0.604440i | ||||
\(932\) | −416.938 | − | 439.476i | −0.447358 | − | 0.471541i | ||||
\(933\) | −134.147 | + | 232.349i | −0.143780 | + | 0.249034i | ||||
\(934\) | 180.392 | + | 1524.98i | 0.193139 | + | 1.63274i | ||||
\(935\) | −41.2156 | + | 23.7958i | −0.0440808 | + | 0.0254501i | ||||
\(936\) | −62.8877 | + | 365.554i | −0.0671877 | + | 0.390549i | ||||
\(937\) | 616.709 | 0.658174 | 0.329087 | − | 0.944300i | \(-0.393259\pi\) | ||||
0.329087 | + | 0.944300i | \(0.393259\pi\) | |||||||
\(938\) | 266.621 | − | 283.169i | 0.284244 | − | 0.301886i | ||||
\(939\) | 1038.46i | 1.10592i | ||||||||
\(940\) | 285.969 | + | 1191.83i | 0.304222 | + | 1.26791i | ||||
\(941\) | −467.668 | − | 810.025i | −0.496991 | − | 0.860813i | 0.503003 | − | 0.864285i | \(-0.332228\pi\) |
−0.999994 | + | 0.00347133i | \(0.998895\pi\) | |||||||
\(942\) | −145.842 | − | 1232.91i | −0.154822 | − | 1.30882i | ||||
\(943\) | 894.464 | + | 516.419i | 0.948531 | + | 0.547634i | ||||
\(944\) | 735.484 | + | 38.7386i | 0.779114 | + | 0.0410366i | ||||
\(945\) | −1004.74 | + | 842.413i | −1.06322 | + | 0.891442i | ||||
\(946\) | 9.55028 | − | 22.2248i | 0.0100954 | − | 0.0234935i | ||||
\(947\) | 988.080 | + | 570.468i | 1.04338 | + | 0.602395i | 0.920788 | − | 0.390062i | \(-0.127547\pi\) |
0.122590 | + | 0.992457i | \(0.460880\pi\) | |||||||
\(948\) | 45.0922 | − | 152.155i | 0.0475656 | − | 0.160501i | ||||
\(949\) | 300.361 | + | 520.240i | 0.316502 | + | 0.548198i | ||||
\(950\) | −339.308 | + | 253.339i | −0.357166 | + | 0.266672i | ||||
\(951\) | 774.656i | 0.814570i | ||||||||
\(952\) | −579.794 | + | 337.672i | −0.609027 | + | 0.354697i | ||||
\(953\) | −1265.64 | −1.32806 | −0.664030 | − | 0.747706i | \(-0.731155\pi\) | ||||
−0.664030 | + | 0.747706i | \(0.731155\pi\) | |||||||
\(954\) | −139.823 | − | 187.272i | −0.146565 | − | 0.196302i | ||||
\(955\) | 424.960 | − | 245.351i | 0.444985 | − | 0.256912i | ||||
\(956\) | −770.806 | − | 228.433i | −0.806282 | − | 0.238947i | ||||
\(957\) | −5.95416 | + | 10.3129i | −0.00622169 | + | 0.0107763i | ||||
\(958\) | 1447.48 | + | 621.998i | 1.51094 | + | 0.649267i | ||||
\(959\) | 162.130 | − | 28.5231i | 0.169061 | − | 0.0297425i | ||||
\(960\) | 583.015 | + | 683.167i | 0.607307 | + | 0.711633i | ||||
\(961\) | 129.169 | − | 223.728i | 0.134411 | − | 0.232807i | ||||
\(962\) | −1076.36 | + | 127.324i | −1.11888 | + | 0.132354i | ||||
\(963\) | 152.831 | − | 88.2373i | 0.158703 | − | 0.0916275i | ||||
\(964\) | 967.098 | − | 232.046i | 1.00321 | − | 0.240711i | ||||
\(965\) | 1080.46 | 1.11965 | ||||||||
\(966\) | −1160.51 | + | 348.700i | −1.20136 | + | 0.360974i | ||||
\(967\) | − | 1527.55i | − | 1.57968i | −0.613313 | − | 0.789840i | \(-0.710164\pi\) | ||
0.613313 | − | 0.789840i | \(-0.289836\pi\) | |||||||
\(968\) | 163.612 | − | 951.047i | 0.169021 | − | 0.982487i | ||||
\(969\) | 157.874 | + | 273.447i | 0.162925 | + | 0.282195i | ||||
\(970\) | 1420.07 | − | 167.981i | 1.46399 | − | 0.173177i | ||||
\(971\) | 156.301 | + | 90.2405i | 0.160969 | + | 0.0929356i | 0.578321 | − | 0.815810i | \(-0.303708\pi\) |
−0.417351 | + | 0.908745i | \(0.637042\pi\) | |||||||
\(972\) | −608.133 | + | 576.945i | −0.625651 | + | 0.593565i | ||||
\(973\) | 1684.84 | + | 613.972i | 1.73160 | + | 0.631009i | ||||
\(974\) | −67.5601 | − | 29.0314i | −0.0693636 | − | 0.0298063i | ||||
\(975\) | −345.209 | − | 199.306i | −0.354060 | − | 0.204417i | ||||
\(976\) | 601.788 | − | 306.428i | 0.616586 | − | 0.313963i | ||||
\(977\) | 446.888 | + | 774.033i | 0.457408 | + | 0.792255i | 0.998823 | − | 0.0485011i | \(-0.0154444\pi\) |
−0.541415 | + | 0.840756i | \(0.682111\pi\) | |||||||
\(978\) | −35.1475 | − | 47.0747i | −0.0359382 | − | 0.0481336i | ||||
\(979\) | 15.0846i | 0.0154081i | ||||||||
\(980\) | −76.6949 | − | 1272.88i | −0.0782601 | − | 1.29886i | ||||
\(981\) | 289.250 | 0.294852 | ||||||||
\(982\) | 661.872 | − | 494.175i | 0.674004 | − | 0.503234i | ||||
\(983\) | 561.180 | − | 323.997i | 0.570885 | − | 0.329600i | −0.186618 | − | 0.982433i | \(-0.559753\pi\) |
0.757503 | + | 0.652832i | \(0.226419\pi\) | |||||||
\(984\) | 284.058 | − | 341.406i | 0.288677 | − | 0.346957i | ||||
\(985\) | 909.994 | − | 1576.16i | 0.923852 | − | 1.60016i | ||||
\(986\) | 85.5514 | − | 199.090i | 0.0867662 | − | 0.201917i | ||||
\(987\) | −243.467 | + | 668.114i | −0.246674 | + | 0.676914i | ||||
\(988\) | −378.108 | + | 358.717i | −0.382700 | + | 0.363074i | ||||
\(989\) | −397.487 | + | 688.468i | −0.401908 | + | 0.696126i | ||||
\(990\) | −4.05736 | − | 34.2997i | −0.00409834 | − | 0.0346462i | ||||
\(991\) | −1167.47 | + | 674.041i | −1.17808 | + | 0.680162i | −0.955569 | − | 0.294769i | \(-0.904757\pi\) |
−0.222507 | + | 0.974931i | \(0.571424\pi\) | |||||||
\(992\) | 620.494 | + | 929.295i | 0.625498 | + | 0.936789i | ||||
\(993\) | −273.273 | −0.275199 | ||||||||
\(994\) | −230.392 | − | 766.769i | −0.231783 | − | 0.771398i | ||||
\(995\) | 1.79142i | 0.00180042i | ||||||||
\(996\) | −313.583 | + | 75.2411i | −0.314842 | + | 0.0755432i | ||||
\(997\) | −256.786 | − | 444.766i | −0.257559 | − | 0.446105i | 0.708029 | − | 0.706184i | \(-0.249585\pi\) |
−0.965587 | + | 0.260079i | \(0.916251\pi\) | |||||||
\(998\) | 158.930 | + | 1343.55i | 0.159249 | + | 1.34624i | ||||
\(999\) | −1267.00 | − | 731.502i | −1.26827 | − | 0.732234i |
(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 | 28.3.g.a.23.5 | yes | 12 | |
3.2 | odd | 2 | 252.3.y.c.163.2 | 12 | |||
4.3 | odd | 2 | inner | 28.3.g.a.23.1 | yes | 12 | |
7.2 | even | 3 | 196.3.c.i.99.3 | 6 | |||
7.3 | odd | 6 | 196.3.g.i.67.1 | 12 | |||
7.4 | even | 3 | inner | 28.3.g.a.11.1 | ✓ | 12 | |
7.5 | odd | 6 | 196.3.c.h.99.3 | 6 | |||
7.6 | odd | 2 | 196.3.g.i.79.5 | 12 | |||
8.3 | odd | 2 | 448.3.r.h.191.2 | 12 | |||
8.5 | even | 2 | 448.3.r.h.191.5 | 12 | |||
12.11 | even | 2 | 252.3.y.c.163.6 | 12 | |||
21.11 | odd | 6 | 252.3.y.c.235.6 | 12 | |||
28.3 | even | 6 | 196.3.g.i.67.5 | 12 | |||
28.11 | odd | 6 | inner | 28.3.g.a.11.5 | yes | 12 | |
28.19 | even | 6 | 196.3.c.h.99.4 | 6 | |||
28.23 | odd | 6 | 196.3.c.i.99.4 | 6 | |||
28.27 | even | 2 | 196.3.g.i.79.1 | 12 | |||
56.11 | odd | 6 | 448.3.r.h.319.5 | 12 | |||
56.53 | even | 6 | 448.3.r.h.319.2 | 12 | |||
84.11 | even | 6 | 252.3.y.c.235.2 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
28.3.g.a.11.1 | ✓ | 12 | 7.4 | even | 3 | inner | |
28.3.g.a.11.5 | yes | 12 | 28.11 | odd | 6 | inner | |
28.3.g.a.23.1 | yes | 12 | 4.3 | odd | 2 | inner | |
28.3.g.a.23.5 | yes | 12 | 1.1 | even | 1 | trivial | |
196.3.c.h.99.3 | 6 | 7.5 | odd | 6 | |||
196.3.c.h.99.4 | 6 | 28.19 | even | 6 | |||
196.3.c.i.99.3 | 6 | 7.2 | even | 3 | |||
196.3.c.i.99.4 | 6 | 28.23 | odd | 6 | |||
196.3.g.i.67.1 | 12 | 7.3 | odd | 6 | |||
196.3.g.i.67.5 | 12 | 28.3 | even | 6 | |||
196.3.g.i.79.1 | 12 | 28.27 | even | 2 | |||
196.3.g.i.79.5 | 12 | 7.6 | odd | 2 | |||
252.3.y.c.163.2 | 12 | 3.2 | odd | 2 | |||
252.3.y.c.163.6 | 12 | 12.11 | even | 2 | |||
252.3.y.c.235.2 | 12 | 84.11 | even | 6 | |||
252.3.y.c.235.6 | 12 | 21.11 | odd | 6 | |||
448.3.r.h.191.2 | 12 | 8.3 | odd | 2 | |||
448.3.r.h.191.5 | 12 | 8.5 | even | 2 | |||
448.3.r.h.319.2 | 12 | 56.53 | even | 6 | |||
448.3.r.h.319.5 | 12 | 56.11 | odd | 6 |