Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [32,3,Mod(3,32)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(32, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([4, 3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("32.3");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 32 = 2^{5} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 32.h (of order \(8\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.871936845953\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 3.3 | ||
Character | \(\chi\) | \(=\) | 32.3 |
Dual form | 32.3.h.a.11.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/32\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(31\) |
\(\chi(n)\) | \(e\left(\frac{3}{8}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.44490 | − | 1.38284i | −0.722452 | − | 0.691421i | ||||
\(3\) | 0.936461 | − | 2.26082i | 0.312154 | − | 0.753605i | −0.687471 | − | 0.726212i | \(-0.741279\pi\) |
0.999625 | − | 0.0273938i | \(-0.00872079\pi\) | |||||||
\(4\) | 0.175499 | + | 3.99615i | 0.0438747 | + | 0.999037i | ||||
\(5\) | −3.18221 | − | 7.68254i | −0.636442 | − | 1.53651i | −0.831387 | − | 0.555693i | \(-0.812453\pi\) |
0.194945 | − | 0.980814i | \(-0.437547\pi\) | |||||||
\(6\) | −4.47945 | + | 1.97169i | −0.746575 | + | 0.328615i | ||||
\(7\) | 3.67370 | + | 3.67370i | 0.524814 | + | 0.524814i | 0.919021 | − | 0.394208i | \(-0.128981\pi\) |
−0.394208 | + | 0.919021i | \(0.628981\pi\) | |||||||
\(8\) | 5.27246 | − | 6.01674i | 0.659058 | − | 0.752092i | ||||
\(9\) | 2.12963 | + | 2.12963i | 0.236625 | + | 0.236625i | ||||
\(10\) | −6.02574 | + | 15.5010i | −0.602574 | + | 1.55010i | ||||
\(11\) | 6.10089 | + | 14.7288i | 0.554626 | + | 1.33899i | 0.913971 | + | 0.405781i | \(0.133000\pi\) |
−0.359345 | + | 0.933205i | \(0.617000\pi\) | |||||||
\(12\) | 9.19891 | + | 3.34547i | 0.766575 | + | 0.278789i | ||||
\(13\) | 2.82075 | − | 6.80990i | 0.216981 | − | 0.523839i | −0.777484 | − | 0.628902i | \(-0.783505\pi\) |
0.994466 | + | 0.105063i | \(0.0335046\pi\) | |||||||
\(14\) | −0.228001 | − | 10.3883i | −0.0162858 | − | 0.742020i | ||||
\(15\) | −20.3488 | −1.35659 | ||||||||
\(16\) | −15.9384 | + | 1.40264i | −0.996150 | + | 0.0876648i | ||||
\(17\) | − | 3.67152i | − | 0.215972i | −0.994152 | − | 0.107986i | \(-0.965560\pi\) | ||
0.994152 | − | 0.107986i | \(-0.0344401\pi\) | |||||||
\(18\) | −0.132171 | − | 6.02205i | −0.00734285 | − | 0.334558i | ||||
\(19\) | −1.65751 | − | 0.686564i | −0.0872375 | − | 0.0361349i | 0.338638 | − | 0.940917i | \(-0.390034\pi\) |
−0.425875 | + | 0.904782i | \(0.640034\pi\) | |||||||
\(20\) | 30.1421 | − | 14.0649i | 1.50710 | − | 0.703243i | ||||
\(21\) | 11.7458 | − | 4.86528i | 0.559325 | − | 0.231680i | ||||
\(22\) | 11.5525 | − | 29.7183i | 0.525112 | − | 1.35083i | ||||
\(23\) | −8.31529 | + | 8.31529i | −0.361534 | + | 0.361534i | −0.864378 | − | 0.502843i | \(-0.832287\pi\) |
0.502843 | + | 0.864378i | \(0.332287\pi\) | |||||||
\(24\) | −8.66529 | − | 17.5545i | −0.361054 | − | 0.731438i | ||||
\(25\) | −31.2172 | + | 31.2172i | −1.24869 | + | 1.24869i | ||||
\(26\) | −13.4927 | + | 5.93900i | −0.518951 | + | 0.228423i | ||||
\(27\) | 27.1564 | − | 11.2485i | 1.00579 | − | 0.416612i | ||||
\(28\) | −14.0359 | + | 15.3254i | −0.501282 | + | 0.547334i | ||||
\(29\) | −38.8592 | − | 16.0960i | −1.33997 | − | 0.555035i | −0.406489 | − | 0.913656i | \(-0.633247\pi\) |
−0.933483 | + | 0.358621i | \(0.883247\pi\) | |||||||
\(30\) | 29.4021 | + | 28.1392i | 0.980070 | + | 0.937973i | ||||
\(31\) | 4.11293i | 0.132675i | 0.997797 | + | 0.0663376i | \(0.0211314\pi\) | ||||
−0.997797 | + | 0.0663376i | \(0.978869\pi\) | |||||||
\(32\) | 24.9691 | + | 20.0136i | 0.780284 | + | 0.625425i | ||||
\(33\) | 39.0124 | 1.18220 | ||||||||
\(34\) | −5.07713 | + | 5.30499i | −0.149327 | + | 0.156029i | ||||
\(35\) | 16.5328 | − | 39.9138i | 0.472367 | − | 1.14039i | ||||
\(36\) | −8.13657 | + | 8.88406i | −0.226016 | + | 0.246779i | ||||
\(37\) | 19.8759 | + | 47.9847i | 0.537186 | + | 1.29688i | 0.926679 | + | 0.375853i | \(0.122650\pi\) |
−0.389493 | + | 0.921030i | \(0.627350\pi\) | |||||||
\(38\) | 1.44554 | + | 3.28410i | 0.0380405 | + | 0.0864236i | ||||
\(39\) | −12.7544 | − | 12.7544i | −0.327036 | − | 0.327036i | ||||
\(40\) | −63.0019 | − | 21.3593i | −1.57505 | − | 0.533984i | ||||
\(41\) | 21.1187 | + | 21.1187i | 0.515091 | + | 0.515091i | 0.916082 | − | 0.400991i | \(-0.131334\pi\) |
−0.400991 | + | 0.916082i | \(0.631334\pi\) | |||||||
\(42\) | −23.6995 | − | 9.21275i | −0.564274 | − | 0.219351i | ||||
\(43\) | −0.102495 | − | 0.247444i | −0.00238360 | − | 0.00575451i | 0.922683 | − | 0.385559i | \(-0.125991\pi\) |
−0.925067 | + | 0.379804i | \(0.875991\pi\) | |||||||
\(44\) | −57.7879 | + | 26.9649i | −1.31336 | + | 0.612839i | ||||
\(45\) | 9.58403 | − | 23.1379i | 0.212978 | − | 0.514175i | ||||
\(46\) | 23.5135 | − | 0.516073i | 0.511164 | − | 0.0112190i | ||||
\(47\) | −39.3838 | −0.837952 | −0.418976 | − | 0.907997i | \(-0.637611\pi\) | ||||
−0.418976 | + | 0.907997i | \(0.637611\pi\) | |||||||
\(48\) | −11.7546 | + | 37.3473i | −0.244887 | + | 0.778069i | ||||
\(49\) | − | 22.0079i | − | 0.449141i | ||||||
\(50\) | 88.2745 | − | 1.93744i | 1.76549 | − | 0.0387488i | ||||
\(51\) | −8.30063 | − | 3.43823i | −0.162757 | − | 0.0674163i | ||||
\(52\) | 27.7084 | + | 10.0770i | 0.532854 | + | 0.193789i | ||||
\(53\) | 22.6154 | − | 9.36759i | 0.426705 | − | 0.176747i | −0.158987 | − | 0.987281i | \(-0.550823\pi\) |
0.585692 | + | 0.810534i | \(0.300823\pi\) | |||||||
\(54\) | −54.7933 | − | 21.2999i | −1.01469 | − | 0.394442i | ||||
\(55\) | 93.7406 | − | 93.7406i | 1.70437 | − | 1.70437i | ||||
\(56\) | 41.4731 | − | 2.73426i | 0.740591 | − | 0.0488260i | ||||
\(57\) | −3.10439 | + | 3.10439i | −0.0544630 | + | 0.0544630i | ||||
\(58\) | 33.8896 | + | 76.9933i | 0.584304 | + | 1.32747i | ||||
\(59\) | −101.380 | + | 41.9931i | −1.71831 | + | 0.711747i | −0.718441 | + | 0.695588i | \(0.755144\pi\) |
−0.999869 | + | 0.0161592i | \(0.994856\pi\) | |||||||
\(60\) | −3.57119 | − | 81.3169i | −0.0595199 | − | 1.35528i | ||||
\(61\) | −14.0475 | − | 5.81867i | −0.230287 | − | 0.0953880i | 0.264556 | − | 0.964370i | \(-0.414775\pi\) |
−0.494843 | + | 0.868982i | \(0.664775\pi\) | |||||||
\(62\) | 5.68753 | − | 5.94279i | 0.0917344 | − | 0.0958515i | ||||
\(63\) | 15.6472i | 0.248369i | ||||||||
\(64\) | −8.40232 | − | 63.4460i | −0.131286 | − | 0.991345i | ||||
\(65\) | −61.2936 | −0.942978 | ||||||||
\(66\) | −56.3693 | − | 53.9480i | −0.854080 | − | 0.817394i | ||||
\(67\) | 3.67448 | − | 8.87098i | 0.0548430 | − | 0.132403i | −0.894083 | − | 0.447901i | \(-0.852172\pi\) |
0.948926 | + | 0.315498i | \(0.102172\pi\) | |||||||
\(68\) | 14.6719 | − | 0.644346i | 0.215764 | − | 0.00947568i | ||||
\(69\) | 11.0124 | + | 26.5863i | 0.159600 | + | 0.385309i | ||||
\(70\) | −79.0828 | + | 34.8093i | −1.12975 | + | 0.497276i | ||||
\(71\) | 75.7712 | + | 75.7712i | 1.06720 | + | 1.06720i | 0.997573 | + | 0.0696271i | \(0.0221809\pi\) |
0.0696271 | + | 0.997573i | \(0.477819\pi\) | |||||||
\(72\) | 24.0418 | − | 1.58504i | 0.333914 | − | 0.0220144i | ||||
\(73\) | −29.0378 | − | 29.0378i | −0.397779 | − | 0.397779i | 0.479670 | − | 0.877449i | \(-0.340756\pi\) |
−0.877449 | + | 0.479670i | \(0.840756\pi\) | |||||||
\(74\) | 37.6364 | − | 96.8185i | 0.508600 | − | 1.30836i | ||||
\(75\) | 41.3427 | + | 99.8102i | 0.551237 | + | 1.33080i | ||||
\(76\) | 2.45272 | − | 6.74415i | 0.0322726 | − | 0.0887389i | ||||
\(77\) | −31.6965 | + | 76.5221i | −0.411643 | + | 0.993793i | ||||
\(78\) | 0.791578 | + | 36.0662i | 0.0101484 | + | 0.462388i | ||||
\(79\) | 2.76556 | 0.0350072 | 0.0175036 | − | 0.999847i | \(-0.494428\pi\) | ||||
0.0175036 | + | 0.999847i | \(0.494428\pi\) | |||||||
\(80\) | 61.4952 | + | 117.984i | 0.768690 | + | 1.47480i | ||||
\(81\) | − | 44.8236i | − | 0.553378i | ||||||
\(82\) | −1.31069 | − | 59.7184i | −0.0159841 | − | 0.728273i | ||||
\(83\) | −79.1972 | − | 32.8045i | −0.954183 | − | 0.395235i | −0.149381 | − | 0.988780i | \(-0.547728\pi\) |
−0.804801 | + | 0.593544i | \(0.797728\pi\) | |||||||
\(84\) | 21.5038 | + | 46.0842i | 0.255997 | + | 0.548622i | ||||
\(85\) | −28.2066 | + | 11.6835i | −0.331842 | + | 0.137453i | ||||
\(86\) | −0.194081 | + | 0.499267i | −0.00225675 | + | 0.00580543i | ||||
\(87\) | −72.7802 | + | 72.7802i | −0.836554 | + | 0.836554i | ||||
\(88\) | 120.786 | + | 40.9498i | 1.37257 | + | 0.465339i | ||||
\(89\) | 72.4200 | − | 72.4200i | 0.813708 | − | 0.813708i | −0.171480 | − | 0.985188i | \(-0.554855\pi\) |
0.985188 | + | 0.171480i | \(0.0548548\pi\) | |||||||
\(90\) | −45.8440 | + | 20.1788i | −0.509378 | + | 0.224209i | ||||
\(91\) | 35.3801 | − | 14.6549i | 0.388792 | − | 0.161043i | ||||
\(92\) | −34.6885 | − | 31.7698i | −0.377048 | − | 0.345324i | ||||
\(93\) | 9.29858 | + | 3.85160i | 0.0999847 | + | 0.0414150i | ||||
\(94\) | 56.9058 | + | 54.4615i | 0.605380 | + | 0.579378i | ||||
\(95\) | 14.9187i | 0.157039i | ||||||||
\(96\) | 68.6297 | − | 37.7086i | 0.714892 | − | 0.392798i | ||||
\(97\) | 66.0511 | 0.680940 | 0.340470 | − | 0.940255i | \(-0.389414\pi\) | ||||
0.340470 | + | 0.940255i | \(0.389414\pi\) | |||||||
\(98\) | −30.4335 | + | 31.7993i | −0.310545 | + | 0.324483i | ||||
\(99\) | −18.3743 | + | 44.3596i | −0.185599 | + | 0.448077i | ||||
\(100\) | −130.227 | − | 119.270i | −1.30227 | − | 1.19270i | ||||
\(101\) | −7.51179 | − | 18.1351i | −0.0743742 | − | 0.179555i | 0.882320 | − | 0.470650i | \(-0.155981\pi\) |
−0.956694 | + | 0.291095i | \(0.905981\pi\) | |||||||
\(102\) | 7.23908 | + | 16.4464i | 0.0709714 | + | 0.161239i | ||||
\(103\) | 0.589180 | + | 0.589180i | 0.00572020 | + | 0.00572020i | 0.709961 | − | 0.704241i | \(-0.248712\pi\) |
−0.704241 | + | 0.709961i | \(0.748712\pi\) | |||||||
\(104\) | −26.1011 | − | 52.8767i | −0.250972 | − | 0.508430i | ||||
\(105\) | −74.7554 | − | 74.7554i | −0.711956 | − | 0.711956i | ||||
\(106\) | −45.6309 | − | 17.7382i | −0.430480 | − | 0.167341i | ||||
\(107\) | −55.4567 | − | 133.884i | −0.518287 | − | 1.25126i | −0.938955 | − | 0.344041i | \(-0.888204\pi\) |
0.420668 | − | 0.907215i | \(-0.361796\pi\) | |||||||
\(108\) | 49.7167 | + | 106.547i | 0.460340 | + | 0.986544i | ||||
\(109\) | 29.4015 | − | 70.9815i | 0.269739 | − | 0.651207i | −0.729732 | − | 0.683733i | \(-0.760355\pi\) |
0.999471 | + | 0.0325264i | \(0.0103553\pi\) | |||||||
\(110\) | −265.075 | + | 5.81783i | −2.40977 | + | 0.0528894i | ||||
\(111\) | 127.098 | 1.14502 | ||||||||
\(112\) | −63.7057 | − | 53.4000i | −0.568801 | − | 0.476786i | ||||
\(113\) | − | 134.274i | − | 1.18826i | −0.804368 | − | 0.594131i | \(-0.797496\pi\) | ||
0.804368 | − | 0.594131i | \(-0.202504\pi\) | |||||||
\(114\) | 8.77843 | − | 0.192668i | 0.0770037 | − | 0.00169007i | ||||
\(115\) | 90.3436 | + | 37.4215i | 0.785596 | + | 0.325405i | ||||
\(116\) | 57.5023 | − | 158.112i | 0.495709 | − | 1.36303i | ||||
\(117\) | 20.5097 | − | 8.49541i | 0.175297 | − | 0.0726103i | ||||
\(118\) | 204.555 | + | 79.5169i | 1.73351 | + | 0.673872i | ||||
\(119\) | 13.4880 | − | 13.4880i | 0.113345 | − | 0.113345i | ||||
\(120\) | −107.288 | + | 122.434i | −0.894070 | + | 1.02028i | ||||
\(121\) | −94.1580 | + | 94.1580i | −0.778166 | + | 0.778166i | ||||
\(122\) | 12.2510 | + | 27.8329i | 0.100418 | + | 0.228138i | ||||
\(123\) | 67.5224 | − | 27.9687i | 0.548963 | − | 0.227388i | ||||
\(124\) | −16.4359 | + | 0.721814i | −0.132547 | + | 0.00582108i | ||||
\(125\) | 147.104 | + | 60.9325i | 1.17683 | + | 0.487460i | ||||
\(126\) | 21.6376 | − | 22.6087i | 0.171727 | − | 0.179434i | ||||
\(127\) | − | 95.5030i | − | 0.751992i | −0.926621 | − | 0.375996i | \(-0.877301\pi\) | ||
0.926621 | − | 0.375996i | \(-0.122699\pi\) | |||||||
\(128\) | −75.5953 | + | 103.293i | −0.590588 | + | 0.806973i | ||||
\(129\) | −0.655407 | −0.00508068 | ||||||||
\(130\) | 88.5634 | + | 84.7593i | 0.681257 | + | 0.651995i | ||||
\(131\) | −67.1188 | + | 162.039i | −0.512357 | + | 1.23694i | 0.430151 | + | 0.902757i | \(0.358460\pi\) |
−0.942508 | + | 0.334183i | \(0.891540\pi\) | |||||||
\(132\) | 6.84663 | + | 155.900i | 0.0518684 | + | 1.18106i | ||||
\(133\) | −3.56697 | − | 8.61142i | −0.0268193 | − | 0.0647475i | ||||
\(134\) | −17.5764 | + | 7.73649i | −0.131167 | + | 0.0577350i | ||||
\(135\) | −172.835 | − | 172.835i | −1.28026 | − | 1.28026i | ||||
\(136\) | −22.0906 | − | 19.3579i | −0.162431 | − | 0.142338i | ||||
\(137\) | 88.7244 | + | 88.7244i | 0.647624 | + | 0.647624i | 0.952418 | − | 0.304794i | \(-0.0985878\pi\) |
−0.304794 | + | 0.952418i | \(0.598588\pi\) | |||||||
\(138\) | 20.8528 | − | 53.6431i | 0.151107 | − | 0.388718i | ||||
\(139\) | −27.6838 | − | 66.8346i | −0.199164 | − | 0.480824i | 0.792469 | − | 0.609912i | \(-0.208795\pi\) |
−0.991633 | + | 0.129087i | \(0.958795\pi\) | |||||||
\(140\) | 162.403 | + | 59.0628i | 1.16002 | + | 0.421877i | ||||
\(141\) | −36.8813 | + | 89.0394i | −0.261570 | + | 0.631485i | ||||
\(142\) | −4.70260 | − | 214.262i | −0.0331169 | − | 1.50889i | ||||
\(143\) | 117.511 | 0.821756 | ||||||||
\(144\) | −36.9300 | − | 30.9558i | −0.256458 | − | 0.214971i | ||||
\(145\) | 349.758i | 2.41213i | ||||||||
\(146\) | 1.80218 | + | 82.1116i | 0.0123437 | + | 0.562409i | ||||
\(147\) | −49.7558 | − | 20.6095i | −0.338475 | − | 0.140201i | ||||
\(148\) | −188.266 | + | 87.8483i | −1.27207 | + | 0.593569i | ||||
\(149\) | −100.536 | + | 41.6433i | −0.674737 | + | 0.279485i | −0.693625 | − | 0.720336i | \(-0.743987\pi\) |
0.0188878 | + | 0.999822i | \(0.493987\pi\) | |||||||
\(150\) | 78.2854 | − | 201.387i | 0.521903 | − | 1.34258i | ||||
\(151\) | −134.706 | + | 134.706i | −0.892096 | + | 0.892096i | −0.994720 | − | 0.102624i | \(-0.967276\pi\) |
0.102624 | + | 0.994720i | \(0.467276\pi\) | |||||||
\(152\) | −12.8700 | + | 6.35294i | −0.0846713 | + | 0.0417956i | ||||
\(153\) | 7.81897 | − | 7.81897i | 0.0511044 | − | 0.0511044i | ||||
\(154\) | 151.616 | − | 66.7359i | 0.984522 | − | 0.433350i | ||||
\(155\) | 31.5977 | − | 13.0882i | 0.203856 | − | 0.0844401i | ||||
\(156\) | 48.7302 | − | 53.2069i | 0.312373 | − | 0.341070i | ||||
\(157\) | −56.0501 | − | 23.2167i | −0.357007 | − | 0.147877i | 0.196969 | − | 0.980410i | \(-0.436890\pi\) |
−0.553976 | + | 0.832533i | \(0.686890\pi\) | |||||||
\(158\) | −3.99598 | − | 3.82434i | −0.0252910 | − | 0.0242047i | ||||
\(159\) | − | 59.9015i | − | 0.376739i | ||||||
\(160\) | 74.2983 | − | 255.514i | 0.464365 | − | 1.59696i | ||||
\(161\) | −61.0957 | −0.379476 | ||||||||
\(162\) | −61.9840 | + | 64.7658i | −0.382617 | + | 0.399789i | ||||
\(163\) | 85.7621 | − | 207.048i | 0.526148 | − | 1.27023i | −0.407881 | − | 0.913035i | \(-0.633732\pi\) |
0.934029 | − | 0.357198i | \(-0.116268\pi\) | |||||||
\(164\) | −80.6872 | + | 88.0998i | −0.491995 | + | 0.537194i | ||||
\(165\) | −124.146 | − | 299.715i | −0.752399 | − | 1.81645i | ||||
\(166\) | 69.0689 | + | 156.917i | 0.416077 | + | 0.945280i | ||||
\(167\) | 72.6395 | + | 72.6395i | 0.434967 | + | 0.434967i | 0.890314 | − | 0.455347i | \(-0.150485\pi\) |
−0.455347 | + | 0.890314i | \(0.650485\pi\) | |||||||
\(168\) | 32.6563 | − | 96.3236i | 0.194383 | − | 0.573355i | ||||
\(169\) | 81.0829 | + | 81.0829i | 0.479781 | + | 0.479781i | ||||
\(170\) | 56.9123 | + | 22.1236i | 0.334778 | + | 0.130139i | ||||
\(171\) | −2.06776 | − | 4.99201i | −0.0120922 | − | 0.0291930i | ||||
\(172\) | 0.970835 | − | 0.453010i | 0.00564439 | − | 0.00263378i | ||||
\(173\) | −4.05480 | + | 9.78916i | −0.0234382 | + | 0.0565847i | −0.935165 | − | 0.354212i | \(-0.884749\pi\) |
0.911727 | + | 0.410796i | \(0.134749\pi\) | |||||||
\(174\) | 205.804 | − | 4.51697i | 1.18278 | − | 0.0259596i | ||||
\(175\) | −229.365 | −1.31066 | ||||||||
\(176\) | −117.898 | − | 226.197i | −0.669873 | − | 1.28521i | ||||
\(177\) | 268.527i | 1.51710i | ||||||||
\(178\) | −204.785 | + | 4.49461i | −1.15048 | + | 0.0252506i | ||||
\(179\) | 214.146 | + | 88.7024i | 1.19635 | + | 0.495544i | 0.889817 | − | 0.456317i | \(-0.150832\pi\) |
0.306531 | + | 0.951861i | \(0.400832\pi\) | |||||||
\(180\) | 94.1444 | + | 34.2385i | 0.523024 | + | 0.190214i | ||||
\(181\) | −98.2125 | + | 40.6810i | −0.542611 | + | 0.224757i | −0.637116 | − | 0.770768i | \(-0.719873\pi\) |
0.0945057 | + | 0.995524i | \(0.469873\pi\) | |||||||
\(182\) | −71.3863 | − | 27.7501i | −0.392233 | − | 0.152473i | ||||
\(183\) | −26.3099 | + | 26.3099i | −0.143770 | + | 0.143770i | ||||
\(184\) | 6.18890 | + | 93.8730i | 0.0336353 | + | 0.510179i | ||||
\(185\) | 305.395 | − | 305.395i | 1.65078 | − | 1.65078i | ||||
\(186\) | −8.10941 | − | 18.4237i | −0.0435990 | − | 0.0990519i | ||||
\(187\) | 54.0772 | − | 22.3995i | 0.289183 | − | 0.119783i | ||||
\(188\) | −6.91180 | − | 157.383i | −0.0367649 | − | 0.837145i | ||||
\(189\) | 141.088 | + | 58.4405i | 0.746497 | + | 0.309209i | ||||
\(190\) | 20.6302 | − | 21.5561i | 0.108580 | − | 0.113453i | ||||
\(191\) | 181.842i | 0.952052i | 0.879431 | + | 0.476026i | \(0.157923\pi\) | ||||
−0.879431 | + | 0.476026i | \(0.842077\pi\) | |||||||
\(192\) | −151.308 | − | 40.4186i | −0.788064 | − | 0.210514i | ||||
\(193\) | −221.267 | −1.14646 | −0.573230 | − | 0.819394i | \(-0.694310\pi\) | ||||
−0.573230 | + | 0.819394i | \(0.694310\pi\) | |||||||
\(194\) | −95.4376 | − | 91.3383i | −0.491946 | − | 0.470816i | ||||
\(195\) | −57.3990 | + | 138.574i | −0.294354 | + | 0.710633i | ||||
\(196\) | 87.9469 | − | 3.86236i | 0.448709 | − | 0.0197059i | ||||
\(197\) | −15.4361 | − | 37.2660i | −0.0783556 | − | 0.189167i | 0.879847 | − | 0.475256i | \(-0.157645\pi\) |
−0.958203 | + | 0.286089i | \(0.907645\pi\) | |||||||
\(198\) | 87.8915 | − | 38.6866i | 0.443896 | − | 0.195387i | ||||
\(199\) | −135.618 | − | 135.618i | −0.681498 | − | 0.681498i | 0.278840 | − | 0.960338i | \(-0.410050\pi\) |
−0.960338 | + | 0.278840i | \(0.910050\pi\) | |||||||
\(200\) | 23.2343 | + | 352.418i | 0.116172 | + | 1.76209i | ||||
\(201\) | −16.6146 | − | 16.6146i | −0.0826599 | − | 0.0826599i | ||||
\(202\) | −14.2241 | + | 36.5911i | −0.0704164 | + | 0.181144i | ||||
\(203\) | −83.6250 | − | 201.889i | −0.411946 | − | 0.994526i | ||||
\(204\) | 12.2829 | − | 33.7739i | 0.0602105 | − | 0.165559i | ||||
\(205\) | 95.0411 | − | 229.450i | 0.463615 | − | 1.11927i | ||||
\(206\) | −0.0365664 | − | 1.66605i | −0.000177507 | − | 0.00808763i | ||||
\(207\) | −35.4170 | −0.171096 | ||||||||
\(208\) | −35.4065 | + | 112.495i | −0.170223 | + | 0.540844i | ||||
\(209\) | − | 28.6019i | − | 0.136851i | ||||||
\(210\) | 4.63955 | + | 211.389i | 0.0220931 | + | 1.00662i | ||||
\(211\) | 138.015 | + | 57.1678i | 0.654100 | + | 0.270937i | 0.684954 | − | 0.728587i | \(-0.259822\pi\) |
−0.0308532 | + | 0.999524i | \(0.509822\pi\) | |||||||
\(212\) | 41.4032 | + | 88.7303i | 0.195298 | + | 0.418539i | ||||
\(213\) | 242.262 | − | 100.348i | 1.13738 | − | 0.471118i | ||||
\(214\) | −105.011 | + | 270.138i | −0.490706 | + | 1.26233i | ||||
\(215\) | −1.57484 | + | 1.57484i | −0.00732483 | + | 0.00732483i | ||||
\(216\) | 75.5014 | − | 222.700i | 0.349543 | − | 1.03102i | ||||
\(217\) | −15.1097 | + | 15.1097i | −0.0696298 | + | 0.0696298i | ||||
\(218\) | −140.639 | + | 61.9039i | −0.645131 | + | 0.283963i | ||||
\(219\) | −92.8420 | + | 38.4564i | −0.423936 | + | 0.175600i | ||||
\(220\) | 391.053 | + | 358.150i | 1.77751 | + | 1.62795i | ||||
\(221\) | −25.0027 | − | 10.3564i | −0.113134 | − | 0.0468618i | ||||
\(222\) | −183.644 | − | 175.756i | −0.827224 | − | 0.791692i | ||||
\(223\) | − | 30.6228i | − | 0.137322i | −0.997640 | − | 0.0686609i | \(-0.978127\pi\) | ||
0.997640 | − | 0.0686609i | \(-0.0218727\pi\) | |||||||
\(224\) | 18.2050 | + | 165.253i | 0.0812721 | + | 0.737736i | ||||
\(225\) | −132.962 | −0.590944 | ||||||||
\(226\) | −185.679 | + | 194.013i | −0.821589 | + | 0.858463i | ||||
\(227\) | 8.41171 | − | 20.3077i | 0.0370560 | − | 0.0894611i | −0.904268 | − | 0.426965i | \(-0.859583\pi\) |
0.941324 | + | 0.337504i | \(0.109583\pi\) | |||||||
\(228\) | −12.9504 | − | 11.8608i | −0.0568001 | − | 0.0520210i | ||||
\(229\) | 76.6532 | + | 185.057i | 0.334730 | + | 0.808110i | 0.998204 | + | 0.0599101i | \(0.0190814\pi\) |
−0.663474 | + | 0.748199i | \(0.730919\pi\) | |||||||
\(230\) | −78.7898 | − | 179.001i | −0.342564 | − | 0.778267i | ||||
\(231\) | 143.320 | + | 143.320i | 0.620432 | + | 0.620432i | ||||
\(232\) | −301.729 | + | 148.940i | −1.30056 | + | 0.641983i | ||||
\(233\) | −127.558 | − | 127.558i | −0.547461 | − | 0.547461i | 0.378245 | − | 0.925706i | \(-0.376528\pi\) |
−0.925706 | + | 0.378245i | \(0.876528\pi\) | |||||||
\(234\) | −41.3824 | − | 16.0866i | −0.176848 | − | 0.0687464i | ||||
\(235\) | 125.327 | + | 302.567i | 0.533308 | + | 1.28752i | ||||
\(236\) | −185.603 | − | 397.761i | −0.786452 | − | 1.68543i | ||||
\(237\) | 2.58984 | − | 6.25243i | 0.0109276 | − | 0.0263816i | ||||
\(238\) | −38.1408 | + | 0.837110i | −0.160255 | + | 0.00351727i | ||||
\(239\) | 397.241 | 1.66210 | 0.831048 | − | 0.556200i | \(-0.187741\pi\) | ||||
0.831048 | + | 0.556200i | \(0.187741\pi\) | |||||||
\(240\) | 324.328 | − | 28.5420i | 1.35137 | − | 0.118925i | ||||
\(241\) | − | 401.128i | − | 1.66443i | −0.554451 | − | 0.832216i | \(-0.687072\pi\) | ||
0.554451 | − | 0.832216i | \(-0.312928\pi\) | |||||||
\(242\) | 266.255 | − | 5.84374i | 1.10023 | − | 0.0241477i | ||||
\(243\) | 143.069 | + | 59.2612i | 0.588763 | + | 0.243873i | ||||
\(244\) | 20.7869 | − | 57.1571i | 0.0851924 | − | 0.234250i | ||||
\(245\) | −169.077 | + | 70.0338i | −0.690109 | + | 0.285852i | ||||
\(246\) | −136.240 | − | 52.9607i | −0.553820 | − | 0.215287i | ||||
\(247\) | −9.35087 | + | 9.35087i | −0.0378578 | + | 0.0378578i | ||||
\(248\) | 24.7464 | + | 21.6853i | 0.0997840 | + | 0.0874406i | ||||
\(249\) | −148.330 | + | 148.330i | −0.595703 | + | 0.595703i | ||||
\(250\) | −128.291 | − | 291.463i | −0.513166 | − | 1.16585i | ||||
\(251\) | 220.193 | − | 91.2070i | 0.877264 | − | 0.363375i | 0.101829 | − | 0.994802i | \(-0.467531\pi\) |
0.775435 | + | 0.631427i | \(0.217531\pi\) | |||||||
\(252\) | −62.5286 | + | 2.74607i | −0.248129 | + | 0.0108971i | ||||
\(253\) | −173.205 | − | 71.7440i | −0.684606 | − | 0.283573i | ||||
\(254\) | −132.066 | + | 137.993i | −0.519943 | + | 0.543279i | ||||
\(255\) | 74.7111i | 0.292985i | ||||||||
\(256\) | 252.065 | − | 44.7116i | 0.984630 | − | 0.174655i | ||||
\(257\) | 436.624 | 1.69893 | 0.849463 | − | 0.527648i | \(-0.176926\pi\) | ||||
0.849463 | + | 0.527648i | \(0.176926\pi\) | |||||||
\(258\) | 0.947001 | + | 0.906324i | 0.00367055 | + | 0.00351289i | ||||
\(259\) | −103.263 | + | 249.299i | −0.398699 | + | 0.962545i | ||||
\(260\) | −10.7569 | − | 244.938i | −0.0413729 | − | 0.942070i | ||||
\(261\) | −48.4771 | − | 117.034i | −0.185736 | − | 0.448407i | ||||
\(262\) | 321.055 | − | 141.316i | 1.22540 | − | 0.539376i | ||||
\(263\) | −324.662 | − | 324.662i | −1.23445 | − | 1.23445i | −0.962235 | − | 0.272219i | \(-0.912242\pi\) |
−0.272219 | − | 0.962235i | \(-0.587758\pi\) | |||||||
\(264\) | 205.692 | − | 234.728i | 0.779135 | − | 0.889120i | ||||
\(265\) | −143.934 | − | 143.934i | −0.543146 | − | 0.543146i | ||||
\(266\) | −6.75430 | + | 17.3752i | −0.0253921 | + | 0.0653204i | ||||
\(267\) | −95.9098 | − | 231.547i | −0.359213 | − | 0.867217i | ||||
\(268\) | 36.0946 | + | 13.1269i | 0.134681 | + | 0.0489810i | ||||
\(269\) | −98.7998 | + | 238.524i | −0.367286 | + | 0.886706i | 0.626907 | + | 0.779094i | \(0.284320\pi\) |
−0.994193 | + | 0.107612i | \(0.965680\pi\) | |||||||
\(270\) | 10.7266 | + | 488.732i | 0.0397283 | + | 1.81012i | ||||
\(271\) | −91.7678 | −0.338627 | −0.169313 | − | 0.985562i | \(-0.554155\pi\) | ||||
−0.169313 | + | 0.985562i | \(0.554155\pi\) | |||||||
\(272\) | 5.14981 | + | 58.5181i | 0.0189331 | + | 0.215140i | ||||
\(273\) | − | 93.7117i | − | 0.343266i | ||||||
\(274\) | −5.50651 | − | 250.890i | −0.0200968 | − | 0.915658i | ||||
\(275\) | −650.247 | − | 269.341i | −2.36453 | − | 0.979422i | ||||
\(276\) | −104.310 | + | 48.6731i | −0.377935 | + | 0.176352i | ||||
\(277\) | 42.7749 | − | 17.7179i | 0.154422 | − | 0.0639636i | −0.304134 | − | 0.952629i | \(-0.598367\pi\) |
0.458556 | + | 0.888666i | \(0.348367\pi\) | |||||||
\(278\) | −52.4212 | + | 134.852i | −0.188566 | + | 0.485079i | ||||
\(279\) | −8.75902 | + | 8.75902i | −0.0313943 | + | 0.0313943i | ||||
\(280\) | −152.982 | − | 309.918i | −0.546365 | − | 1.10685i | ||||
\(281\) | −167.424 | + | 167.424i | −0.595813 | + | 0.595813i | −0.939196 | − | 0.343382i | \(-0.888427\pi\) |
0.343382 | + | 0.939196i | \(0.388427\pi\) | |||||||
\(282\) | 176.417 | − | 77.6524i | 0.625594 | − | 0.275363i | ||||
\(283\) | −494.380 | + | 204.779i | −1.74693 | + | 0.723601i | −0.748775 | + | 0.662824i | \(0.769358\pi\) |
−0.998151 | + | 0.0607762i | \(0.980642\pi\) | |||||||
\(284\) | −289.495 | + | 316.091i | −1.01935 | + | 1.11300i | ||||
\(285\) | 33.7284 | + | 13.9708i | 0.118345 | + | 0.0490202i | ||||
\(286\) | −169.792 | − | 162.499i | −0.593679 | − | 0.568179i | ||||
\(287\) | 155.168i | 0.540653i | ||||||||
\(288\) | 10.5534 | + | 95.7965i | 0.0366436 | + | 0.332627i | ||||
\(289\) | 275.520 | 0.953356 | ||||||||
\(290\) | 483.660 | − | 505.367i | 1.66779 | − | 1.74265i | ||||
\(291\) | 61.8543 | − | 149.329i | 0.212558 | − | 0.513160i | ||||
\(292\) | 110.943 | − | 121.136i | 0.379943 | − | 0.414848i | ||||
\(293\) | 146.767 | + | 354.328i | 0.500913 | + | 1.20931i | 0.948987 | + | 0.315314i | \(0.102110\pi\) |
−0.448075 | + | 0.893996i | \(0.647890\pi\) | |||||||
\(294\) | 43.3927 | + | 98.5833i | 0.147594 | + | 0.335317i | ||||
\(295\) | 645.227 | + | 645.227i | 2.18721 | + | 2.18721i | ||||
\(296\) | 393.506 | + | 133.409i | 1.32941 | + | 0.450707i | ||||
\(297\) | 331.356 | + | 331.356i | 1.11568 | + | 1.11568i | ||||
\(298\) | 202.851 | + | 78.8545i | 0.680707 | + | 0.264613i | ||||
\(299\) | 33.1709 | + | 80.0817i | 0.110940 | + | 0.267832i | ||||
\(300\) | −391.601 | + | 182.728i | −1.30534 | + | 0.609094i | ||||
\(301\) | 0.532500 | − | 1.28557i | 0.00176910 | − | 0.00427099i | ||||
\(302\) | 380.916 | − | 8.36030i | 1.26131 | − | 0.0276831i | ||||
\(303\) | −48.0346 | −0.158530 | ||||||||
\(304\) | 27.3811 | + | 8.61784i | 0.0900694 | + | 0.0283482i | ||||
\(305\) | 126.437i | 0.414547i | ||||||||
\(306\) | −22.1101 | + | 0.485269i | −0.0722551 | + | 0.00158585i | ||||
\(307\) | −53.4306 | − | 22.1317i | −0.174041 | − | 0.0720902i | 0.293962 | − | 0.955817i | \(-0.405026\pi\) |
−0.468003 | + | 0.883727i | \(0.655026\pi\) | |||||||
\(308\) | −311.356 | − | 113.234i | −1.01090 | − | 0.367644i | ||||
\(309\) | 1.88377 | − | 0.780284i | 0.00609635 | − | 0.00252519i | ||||
\(310\) | −63.7547 | − | 24.7835i | −0.205660 | − | 0.0799466i | ||||
\(311\) | 274.515 | − | 274.515i | 0.882685 | − | 0.882685i | −0.111122 | − | 0.993807i | \(-0.535444\pi\) |
0.993807 | + | 0.111122i | \(0.0354444\pi\) | |||||||
\(312\) | −143.987 | + | 9.49284i | −0.461497 | + | 0.0304258i | ||||
\(313\) | −78.4013 | + | 78.4013i | −0.250483 | + | 0.250483i | −0.821169 | − | 0.570685i | \(-0.806678\pi\) |
0.570685 | + | 0.821169i | \(0.306678\pi\) | |||||||
\(314\) | 48.8820 | + | 111.054i | 0.155675 | + | 0.353676i | ||||
\(315\) | 120.210 | − | 49.7928i | 0.381620 | − | 0.158072i | ||||
\(316\) | 0.485353 | + | 11.0516i | 0.00153593 | + | 0.0349734i | ||||
\(317\) | −136.520 | − | 56.5483i | −0.430661 | − | 0.178386i | 0.156814 | − | 0.987628i | \(-0.449878\pi\) |
−0.587475 | + | 0.809243i | \(0.699878\pi\) | |||||||
\(318\) | −82.8343 | + | 86.5520i | −0.260485 | + | 0.272176i | ||||
\(319\) | − | 670.551i | − | 2.10204i | ||||||
\(320\) | −460.689 | + | 266.450i | −1.43965 | + | 0.832656i | ||||
\(321\) | −354.621 | −1.10474 | ||||||||
\(322\) | 88.2775 | + | 84.4857i | 0.274154 | + | 0.262378i | ||||
\(323\) | −2.52073 | + | 6.08558i | −0.00780412 | + | 0.0188408i | ||||
\(324\) | 179.122 | − | 7.86648i | 0.552845 | − | 0.0242793i | ||||
\(325\) | 124.530 | + | 300.643i | 0.383170 | + | 0.925054i | ||||
\(326\) | −410.232 | + | 180.569i | −1.25838 | + | 0.553893i | ||||
\(327\) | −132.943 | − | 132.943i | −0.406553 | − | 0.406553i | ||||
\(328\) | 238.413 | − | 15.7182i | 0.726870 | − | 0.0479214i | ||||
\(329\) | −144.684 | − | 144.684i | −0.439769 | − | 0.439769i | ||||
\(330\) | −235.079 | + | 604.733i | −0.712360 | + | 1.83252i | ||||
\(331\) | 143.690 | + | 346.898i | 0.434109 | + | 1.04803i | 0.977949 | + | 0.208843i | \(0.0669696\pi\) |
−0.543841 | + | 0.839189i | \(0.683030\pi\) | |||||||
\(332\) | 117.193 | − | 322.241i | 0.352990 | − | 0.970605i | ||||
\(333\) | −59.8612 | + | 144.518i | −0.179763 | + | 0.433987i | ||||
\(334\) | −4.50823 | − | 205.406i | −0.0134977 | − | 0.614988i | ||||
\(335\) | −79.8446 | −0.238342 | ||||||||
\(336\) | −180.385 | + | 94.0199i | −0.536861 | + | 0.279821i | ||||
\(337\) | − | 479.136i | − | 1.42177i | −0.703310 | − | 0.710884i | \(-0.748295\pi\) | ||
0.703310 | − | 0.710884i | \(-0.251705\pi\) | |||||||
\(338\) | −5.03226 | − | 229.282i | −0.0148883 | − | 0.678349i | ||||
\(339\) | −303.568 | − | 125.742i | −0.895481 | − | 0.370920i | ||||
\(340\) | −51.6394 | − | 110.667i | −0.151881 | − | 0.325492i | ||||
\(341\) | −60.5787 | + | 25.0925i | −0.177650 | + | 0.0735851i | ||||
\(342\) | −3.91545 | + | 10.0724i | −0.0114487 | + | 0.0294514i | ||||
\(343\) | 260.861 | − | 260.861i | 0.760529 | − | 0.760529i | ||||
\(344\) | −2.02920 | − | 0.687955i | −0.00589885 | − | 0.00199987i | ||||
\(345\) | 169.206 | − | 169.206i | 0.490453 | − | 0.490453i | ||||
\(346\) | 19.3957 | − | 8.53725i | 0.0560568 | − | 0.0246741i | ||||
\(347\) | 172.145 | − | 71.3048i | 0.496095 | − | 0.205489i | −0.120585 | − | 0.992703i | \(-0.538477\pi\) |
0.616680 | + | 0.787214i | \(0.288477\pi\) | |||||||
\(348\) | −303.613 | − | 278.068i | −0.872452 | − | 0.799045i | ||||
\(349\) | 388.120 | + | 160.765i | 1.11209 | + | 0.460644i | 0.861658 | − | 0.507490i | \(-0.169427\pi\) |
0.250434 | + | 0.968134i | \(0.419427\pi\) | |||||||
\(350\) | 331.411 | + | 317.176i | 0.946889 | + | 0.906217i | ||||
\(351\) | − | 216.662i | − | 0.617269i | ||||||
\(352\) | −142.444 | + | 489.867i | −0.404669 | + | 1.39167i | ||||
\(353\) | −165.952 | −0.470120 | −0.235060 | − | 0.971981i | \(-0.575529\pi\) | ||||
−0.235060 | + | 0.971981i | \(0.575529\pi\) | |||||||
\(354\) | 371.330 | − | 387.996i | 1.04896 | − | 1.09603i | ||||
\(355\) | 340.995 | − | 823.235i | 0.960550 | − | 2.31897i | ||||
\(356\) | 302.111 | + | 276.691i | 0.848626 | + | 0.777223i | ||||
\(357\) | −17.8630 | − | 43.1250i | −0.0500363 | − | 0.120798i | ||||
\(358\) | −186.760 | − | 424.297i | −0.521676 | − | 1.18519i | ||||
\(359\) | 100.971 | + | 100.971i | 0.281257 | + | 0.281257i | 0.833610 | − | 0.552353i | \(-0.186270\pi\) |
−0.552353 | + | 0.833610i | \(0.686270\pi\) | |||||||
\(360\) | −88.6832 | − | 179.658i | −0.246342 | − | 0.499050i | ||||
\(361\) | −252.990 | − | 252.990i | −0.700802 | − | 0.700802i | ||||
\(362\) | 198.163 | + | 77.0322i | 0.547412 | + | 0.212796i | ||||
\(363\) | 124.699 | + | 301.049i | 0.343523 | + | 0.829337i | ||||
\(364\) | 64.7724 | + | 138.812i | 0.177946 | + | 0.381352i | ||||
\(365\) | −130.680 | + | 315.489i | −0.358027 | + | 0.864353i | ||||
\(366\) | 74.3976 | − | 1.63287i | 0.203272 | − | 0.00446140i | ||||
\(367\) | −651.959 | −1.77645 | −0.888227 | − | 0.459405i | \(-0.848063\pi\) | ||||
−0.888227 | + | 0.459405i | \(0.848063\pi\) | |||||||
\(368\) | 120.869 | − | 144.196i | 0.328449 | − | 0.391836i | ||||
\(369\) | 89.9501i | 0.243767i | ||||||||
\(370\) | −863.579 | + | 18.9537i | −2.33400 | + | 0.0512263i | ||||
\(371\) | 117.496 | + | 48.6683i | 0.316700 | + | 0.131181i | ||||
\(372\) | −13.7597 | + | 37.8345i | −0.0369884 | + | 0.101706i | ||||
\(373\) | 605.919 | − | 250.980i | 1.62445 | − | 0.672868i | 0.629854 | − | 0.776713i | \(-0.283115\pi\) |
0.994593 | + | 0.103845i | \(0.0331146\pi\) | |||||||
\(374\) | −109.111 | − | 42.4150i | −0.291742 | − | 0.113409i | ||||
\(375\) | 275.515 | − | 275.515i | 0.734705 | − | 0.734705i | ||||
\(376\) | −207.649 | + | 236.962i | −0.552259 | + | 0.630218i | ||||
\(377\) | −219.224 | + | 219.224i | −0.581497 | + | 0.581497i | ||||
\(378\) | −123.045 | − | 279.543i | −0.325515 | − | 0.739532i | ||||
\(379\) | −431.591 | + | 178.771i | −1.13876 | + | 0.471691i | −0.870750 | − | 0.491725i | \(-0.836366\pi\) |
−0.268011 | + | 0.963416i | \(0.586366\pi\) | |||||||
\(380\) | −59.6173 | + | 2.61821i | −0.156888 | + | 0.00689003i | ||||
\(381\) | −215.915 | − | 89.4348i | −0.566705 | − | 0.234737i | ||||
\(382\) | 251.459 | − | 262.744i | 0.658269 | − | 0.687812i | ||||
\(383\) | 583.987i | 1.52477i | 0.647124 | + | 0.762385i | \(0.275972\pi\) | ||||
−0.647124 | + | 0.762385i | \(0.724028\pi\) | |||||||
\(384\) | 162.733 | + | 267.637i | 0.423785 | + | 0.696970i | ||||
\(385\) | 688.749 | 1.78896 | ||||||||
\(386\) | 319.710 | + | 305.977i | 0.828263 | + | 0.792687i | ||||
\(387\) | 0.308688 | − | 0.745239i | 0.000797644 | − | 0.00192568i | ||||
\(388\) | 11.5919 | + | 263.950i | 0.0298760 | + | 0.680284i | ||||
\(389\) | −57.9070 | − | 139.800i | −0.148861 | − | 0.359383i | 0.831806 | − | 0.555067i | \(-0.187307\pi\) |
−0.980667 | + | 0.195684i | \(0.937307\pi\) | |||||||
\(390\) | 274.561 | − | 120.852i | 0.704003 | − | 0.309876i | ||||
\(391\) | 30.5297 | + | 30.5297i | 0.0780812 | + | 0.0780812i | ||||
\(392\) | −132.416 | − | 116.036i | −0.337796 | − | 0.296010i | ||||
\(393\) | 303.487 | + | 303.487i | 0.772231 | + | 0.772231i | ||||
\(394\) | −29.2293 | + | 75.1914i | −0.0741860 | + | 0.190841i | ||||
\(395\) | −8.80061 | − | 21.2466i | −0.0222800 | − | 0.0537888i | ||||
\(396\) | −180.492 | − | 65.6415i | −0.455788 | − | 0.165761i | ||||
\(397\) | 216.482 | − | 522.634i | 0.545295 | − | 1.31646i | −0.375649 | − | 0.926762i | \(-0.622580\pi\) |
0.920944 | − | 0.389696i | \(-0.127420\pi\) | |||||||
\(398\) | 8.41688 | + | 383.493i | 0.0211479 | + | 0.963551i | ||||
\(399\) | −22.8092 | −0.0571658 | ||||||||
\(400\) | 453.767 | − | 541.340i | 1.13442 | − | 1.35335i | ||||
\(401\) | − | 271.900i | − | 0.678055i | −0.940776 | − | 0.339028i | \(-0.889902\pi\) | ||
0.940776 | − | 0.339028i | \(-0.110098\pi\) | |||||||
\(402\) | 1.03116 | + | 46.9820i | 0.00256506 | + | 0.116871i | ||||
\(403\) | 28.0087 | + | 11.6016i | 0.0695004 | + | 0.0287880i | ||||
\(404\) | 71.1521 | − | 33.2009i | 0.176119 | − | 0.0821805i | ||||
\(405\) | −344.359 | + | 142.638i | −0.850269 | + | 0.352193i | ||||
\(406\) | −158.350 | + | 407.350i | −0.390024 | + | 1.00333i | ||||
\(407\) | −585.498 | + | 585.498i | −1.43857 | + | 1.43857i | ||||
\(408\) | −64.4517 | + | 31.8148i | −0.157970 | + | 0.0779774i | ||||
\(409\) | −181.723 | + | 181.723i | −0.444310 | + | 0.444310i | −0.893458 | − | 0.449147i | \(-0.851728\pi\) |
0.449147 | + | 0.893458i | \(0.351728\pi\) | |||||||
\(410\) | −454.618 | + | 200.106i | −1.10882 | + | 0.488063i | ||||
\(411\) | 283.677 | − | 117.503i | 0.690211 | − | 0.285895i | ||||
\(412\) | −2.25105 | + | 2.45785i | −0.00546372 | + | 0.00596566i | ||||
\(413\) | −526.710 | − | 218.171i | −1.27533 | − | 0.528258i | ||||
\(414\) | 51.1741 | + | 48.9761i | 0.123609 | + | 0.118300i | ||||
\(415\) | 712.826i | 1.71765i | ||||||||
\(416\) | 206.722 | − | 113.584i | 0.496929 | − | 0.273038i | ||||
\(417\) | −177.026 | −0.424522 | ||||||||
\(418\) | −39.5519 | + | 41.3270i | −0.0946217 | + | 0.0988684i | ||||
\(419\) | −84.5458 | + | 204.112i | −0.201780 | + | 0.487140i | −0.992084 | − | 0.125575i | \(-0.959923\pi\) |
0.790304 | + | 0.612715i | \(0.209923\pi\) | |||||||
\(420\) | 285.614 | − | 311.853i | 0.680034 | − | 0.742507i | ||||
\(421\) | 13.1417 | + | 31.7269i | 0.0312155 | + | 0.0753608i | 0.938719 | − | 0.344685i | \(-0.112014\pi\) |
−0.907503 | + | 0.420045i | \(0.862014\pi\) | |||||||
\(422\) | −120.365 | − | 273.455i | −0.285225 | − | 0.647998i | ||||
\(423\) | −83.8728 | − | 83.8728i | −0.198281 | − | 0.198281i | ||||
\(424\) | 62.8762 | − | 185.461i | 0.148293 | − | 0.437408i | ||||
\(425\) | 114.615 | + | 114.615i | 0.269682 | + | 0.269682i | ||||
\(426\) | −488.810 | − | 190.016i | −1.14744 | − | 0.446047i | ||||
\(427\) | −30.2302 | − | 72.9823i | −0.0707968 | − | 0.170919i | ||||
\(428\) | 525.289 | − | 245.110i | 1.22731 | − | 0.572686i | ||||
\(429\) | 110.045 | − | 265.671i | 0.256514 | − | 0.619280i | ||||
\(430\) | 4.45324 | − | 0.0977393i | 0.0103564 | − | 0.000227301i | ||||
\(431\) | 18.4839 | 0.0428861 | 0.0214431 | − | 0.999770i | \(-0.493174\pi\) | ||||
0.0214431 | + | 0.999770i | \(0.493174\pi\) | |||||||
\(432\) | −417.051 | + | 217.374i | −0.965397 | + | 0.503181i | ||||
\(433\) | 370.297i | 0.855190i | 0.903970 | + | 0.427595i | \(0.140639\pi\) | ||||
−0.903970 | + | 0.427595i | \(0.859361\pi\) | |||||||
\(434\) | 42.7263 | − | 0.937752i | 0.0984476 | − | 0.00216072i | ||||
\(435\) | 790.739 | + | 327.535i | 1.81779 | + | 0.752954i | ||||
\(436\) | 288.813 | + | 105.036i | 0.662414 | + | 0.240907i | ||||
\(437\) | 19.4917 | − | 8.07372i | 0.0446034 | − | 0.0184753i | ||||
\(438\) | 187.327 | + | 72.8199i | 0.427687 | + | 0.166256i | ||||
\(439\) | −1.47108 | + | 1.47108i | −0.00335099 | + | 0.00335099i | −0.708780 | − | 0.705429i | \(-0.750754\pi\) |
0.705429 | + | 0.708780i | \(0.250754\pi\) | |||||||
\(440\) | −69.7691 | − | 1058.26i | −0.158566 | − | 2.40513i | ||||
\(441\) | 46.8687 | − | 46.8687i | 0.106278 | − | 0.106278i | ||||
\(442\) | 21.8052 | + | 49.5388i | 0.0493329 | + | 0.112079i | ||||
\(443\) | 15.4970 | − | 6.41908i | 0.0349820 | − | 0.0144900i | −0.365124 | − | 0.930959i | \(-0.618973\pi\) |
0.400106 | + | 0.916469i | \(0.368973\pi\) | |||||||
\(444\) | 22.3054 | + | 507.900i | 0.0502375 | + | 1.14392i | ||||
\(445\) | −786.825 | − | 325.914i | −1.76815 | − | 0.732390i | ||||
\(446\) | −42.3464 | + | 44.2470i | −0.0949472 | + | 0.0992085i | ||||
\(447\) | 266.290i | 0.595728i | ||||||||
\(448\) | 202.214 | − | 263.949i | 0.451370 | − | 0.589172i | ||||
\(449\) | −349.645 | −0.778719 | −0.389359 | − | 0.921086i | \(-0.627304\pi\) | ||||
−0.389359 | + | 0.921086i | \(0.627304\pi\) | |||||||
\(450\) | 192.118 | + | 183.866i | 0.426929 | + | 0.408591i | ||||
\(451\) | −182.211 | + | 439.897i | −0.404016 | + | 0.975382i | ||||
\(452\) | 536.577 | − | 23.5648i | 1.18712 | − | 0.0521346i | ||||
\(453\) | 178.399 | + | 430.694i | 0.393817 | + | 0.950759i | ||||
\(454\) | −40.2364 | + | 17.7106i | −0.0886264 | + | 0.0390101i | ||||
\(455\) | −225.174 | − | 225.174i | −0.494888 | − | 0.494888i | ||||
\(456\) | 2.31053 | + | 35.0461i | 0.00506696 | + | 0.0768554i | ||||
\(457\) | 167.442 | + | 167.442i | 0.366393 | + | 0.366393i | 0.866160 | − | 0.499767i | \(-0.166581\pi\) |
−0.499767 | + | 0.866160i | \(0.666581\pi\) | |||||||
\(458\) | 145.148 | − | 373.389i | 0.316917 | − | 0.815260i | ||||
\(459\) | −41.2992 | − | 99.7051i | −0.0899764 | − | 0.217222i | ||||
\(460\) | −133.687 | + | 367.594i | −0.290623 | + | 0.799117i | ||||
\(461\) | 299.864 | − | 723.935i | 0.650463 | − | 1.57036i | −0.161644 | − | 0.986849i | \(-0.551680\pi\) |
0.812107 | − | 0.583508i | \(-0.198320\pi\) | |||||||
\(462\) | −8.89488 | − | 405.272i | −0.0192530 | − | 0.877213i | ||||
\(463\) | −70.4485 | −0.152157 | −0.0760783 | − | 0.997102i | \(-0.524240\pi\) | ||||
−0.0760783 | + | 0.997102i | \(0.524240\pi\) | |||||||
\(464\) | 641.930 | + | 202.039i | 1.38347 | + | 0.435429i | ||||
\(465\) | − | 83.6933i | − | 0.179986i | ||||||
\(466\) | 7.91667 | + | 360.703i | 0.0169886 | + | 0.774040i | ||||
\(467\) | −89.8391 | − | 37.2126i | −0.192375 | − | 0.0796843i | 0.284416 | − | 0.958701i | \(-0.408200\pi\) |
−0.476791 | + | 0.879017i | \(0.658200\pi\) | |||||||
\(468\) | 37.5483 | + | 80.4690i | 0.0802315 | + | 0.171942i | ||||
\(469\) | 46.0882 | − | 19.0904i | 0.0982691 | − | 0.0407044i | ||||
\(470\) | 237.316 | − | 610.489i | 0.504928 | − | 1.29891i | ||||
\(471\) | −104.977 | + | 104.977i | −0.222882 | + | 0.222882i | ||||
\(472\) | −281.862 | + | 831.386i | −0.597166 | + | 1.76141i | ||||
\(473\) | 3.01925 | − | 3.01925i | 0.00638320 | − | 0.00638320i | ||||
\(474\) | −12.3882 | + | 5.45283i | −0.0261354 | + | 0.0115039i | ||||
\(475\) | 73.1756 | − | 30.3103i | 0.154054 | − | 0.0638112i | ||||
\(476\) | 56.2673 | + | 51.5331i | 0.118209 | + | 0.108263i | ||||
\(477\) | 68.1118 | + | 28.2128i | 0.142792 | + | 0.0591464i | ||||
\(478\) | −573.975 | − | 549.321i | −1.20079 | − | 1.14921i | ||||
\(479\) | − | 900.546i | − | 1.88005i | −0.341101 | − | 0.940027i | \(-0.610800\pi\) | ||
0.341101 | − | 0.940027i | \(-0.389200\pi\) | |||||||
\(480\) | −508.092 | − | 407.253i | −1.05852 | − | 0.848444i | ||||
\(481\) | 382.836 | 0.795917 | ||||||||
\(482\) | −554.697 | + | 579.592i | −1.15082 | + | 1.20247i | ||||
\(483\) | −57.2137 | + | 138.126i | −0.118455 | + | 0.285976i | ||||
\(484\) | −392.794 | − | 359.745i | −0.811558 | − | 0.743274i | ||||
\(485\) | −210.189 | − | 507.440i | −0.433379 | − | 1.04627i | ||||
\(486\) | −124.773 | − | 283.469i | −0.256734 | − | 0.583270i | ||||
\(487\) | −175.466 | − | 175.466i | −0.360301 | − | 0.360301i | 0.503623 | − | 0.863924i | \(-0.332000\pi\) |
−0.863924 | + | 0.503623i | \(0.832000\pi\) | |||||||
\(488\) | −109.074 | + | 53.8415i | −0.223513 | + | 0.110331i | ||||
\(489\) | −387.785 | − | 387.785i | −0.793015 | − | 0.793015i | ||||
\(490\) | 341.145 | + | 132.614i | 0.696215 | + | 0.270641i | ||||
\(491\) | −111.990 | − | 270.368i | −0.228086 | − | 0.550648i | 0.767858 | − | 0.640620i | \(-0.221322\pi\) |
−0.995944 | + | 0.0899713i | \(0.971322\pi\) | |||||||
\(492\) | 123.617 | + | 264.921i | 0.251254 | + | 0.538457i | ||||
\(493\) | −59.0968 | + | 142.672i | −0.119872 | + | 0.289396i | ||||
\(494\) | 26.4419 | − | 0.580344i | 0.0535261 | − | 0.00117478i | ||||
\(495\) | 399.265 | 0.806596 | ||||||||
\(496\) | −5.76895 | − | 65.5535i | −0.0116309 | − | 0.132164i | ||||
\(497\) | 556.721i | 1.12016i | ||||||||
\(498\) | 419.440 | − | 9.20582i | 0.842249 | − | 0.0184856i | ||||
\(499\) | 96.4128 | + | 39.9355i | 0.193212 | + | 0.0800310i | 0.477192 | − | 0.878799i | \(-0.341655\pi\) |
−0.283980 | + | 0.958830i | \(0.591655\pi\) | |||||||
\(500\) | −217.679 | + | 598.544i | −0.435358 | + | 1.19709i | ||||
\(501\) | 232.249 | − | 96.2005i | 0.463570 | − | 0.192017i | ||||
\(502\) | −444.283 | − | 172.707i | −0.885026 | − | 0.344038i | ||||
\(503\) | 491.151 | − | 491.151i | 0.976442 | − | 0.976442i | −0.0232864 | − | 0.999729i | \(-0.507413\pi\) |
0.999729 | + | 0.0232864i | \(0.00741295\pi\) | |||||||
\(504\) | 94.1452 | + | 82.4994i | 0.186796 | + | 0.163689i | ||||
\(505\) | −115.419 | + | 115.419i | −0.228553 | + | 0.228553i | ||||
\(506\) | 151.055 | + | 343.179i | 0.298527 | + | 0.678219i | ||||
\(507\) | 259.245 | − | 107.383i | 0.511331 | − | 0.211800i | ||||
\(508\) | 381.644 | − | 16.7607i | 0.751268 | − | 0.0329934i | ||||
\(509\) | 891.336 | + | 369.204i | 1.75115 | + | 0.725351i | 0.997695 | + | 0.0678534i | \(0.0216150\pi\) |
0.753457 | + | 0.657498i | \(0.228385\pi\) | |||||||
\(510\) | 103.314 | − | 107.950i | 0.202576 | − | 0.211667i | ||||
\(511\) | − | 213.352i | − | 0.417519i | ||||||
\(512\) | −426.039 | − | 283.962i | −0.832108 | − | 0.554614i | ||||
\(513\) | −52.7348 | −0.102797 | ||||||||
\(514\) | −630.880 | − | 603.782i | −1.22739 | − | 1.17467i | ||||
\(515\) | 2.65150 | − | 6.40130i | 0.00514855 | − | 0.0124297i | ||||
\(516\) | −0.115023 | − | 2.61910i | −0.000222913 | − | 0.00507578i | ||||
\(517\) | −240.276 | − | 580.077i | −0.464750 | − | 1.12201i | ||||
\(518\) | 493.946 | − | 217.417i | 0.953564 | − | 0.419724i | ||||
\(519\) | 18.3343 | + | 18.3343i | 0.0353263 | + | 0.0353263i | ||||
\(520\) | −323.168 | + | 368.787i | −0.621477 | + | 0.709207i | ||||
\(521\) | 285.723 | + | 285.723i | 0.548413 | + | 0.548413i | 0.925982 | − | 0.377569i | \(-0.123240\pi\) |
−0.377569 | + | 0.925982i | \(0.623240\pi\) | |||||||
\(522\) | −91.7949 | + | 236.139i | −0.175852 | + | 0.452374i | ||||
\(523\) | 260.696 | + | 629.375i | 0.498462 | + | 1.20339i | 0.950312 | + | 0.311300i | \(0.100764\pi\) |
−0.451849 | + | 0.892094i | \(0.649236\pi\) | |||||||
\(524\) | −659.312 | − | 239.779i | −1.25823 | − | 0.457594i | ||||
\(525\) | −214.792 | + | 518.553i | −0.409127 | + | 0.987720i | ||||
\(526\) | 20.1495 | + | 918.060i | 0.0383070 | + | 1.74536i | ||||
\(527\) | 15.1007 | 0.0286541 | ||||||||
\(528\) | −621.796 | + | 54.7203i | −1.17764 | + | 0.103637i | ||||
\(529\) | 390.712i | 0.738586i | ||||||||
\(530\) | 8.93297 | + | 407.008i | 0.0168547 | + | 0.767939i | ||||
\(531\) | −305.332 | − | 126.473i | −0.575013 | − | 0.238178i | ||||
\(532\) | 33.7865 | − | 15.7654i | 0.0635085 | − | 0.0296343i | ||||
\(533\) | 203.387 | − | 84.2457i | 0.381589 | − | 0.158059i | ||||
\(534\) | −181.612 | + | 467.191i | −0.340097 | + | 0.874890i | ||||
\(535\) | −852.096 | + | 852.096i | −1.59270 | + | 1.59270i | ||||
\(536\) | −34.0008 | − | 68.8802i | −0.0634343 | − | 0.128508i | ||||
\(537\) | 401.079 | − | 401.079i | 0.746889 | − | 0.746889i | ||||
\(538\) | 472.597 | − | 208.020i | 0.878433 | − | 0.386654i | ||||
\(539\) | 324.151 | − | 134.268i | 0.601393 | − | 0.249105i | ||||
\(540\) | 660.340 | − | 721.005i | 1.22285 | − | 1.33519i | ||||
\(541\) | 355.077 | + | 147.078i | 0.656335 | + | 0.271863i | 0.685895 | − | 0.727700i | \(-0.259411\pi\) |
−0.0295603 | + | 0.999563i | \(0.509411\pi\) | |||||||
\(542\) | 132.596 | + | 126.900i | 0.244642 | + | 0.234134i | ||||
\(543\) | 260.137i | 0.479073i | ||||||||
\(544\) | 73.4803 | − | 91.6745i | 0.135074 | − | 0.168519i | ||||
\(545\) | −638.880 | −1.17226 | ||||||||
\(546\) | −129.588 | + | 135.404i | −0.237341 | + | 0.247994i | ||||
\(547\) | 404.897 | − | 977.508i | 0.740214 | − | 1.78704i | 0.135204 | − | 0.990818i | \(-0.456831\pi\) |
0.605010 | − | 0.796218i | \(-0.293169\pi\) | |||||||
\(548\) | −338.985 | + | 370.127i | −0.618586 | + | 0.675414i | ||||
\(549\) | −17.5244 | − | 42.3076i | −0.0319205 | − | 0.0770630i | ||||
\(550\) | 567.089 | + | 1288.36i | 1.03107 | + | 2.34247i | ||||
\(551\) | 53.3586 | + | 53.3586i | 0.0968396 | + | 0.0968396i | ||||
\(552\) | 218.025 | + | 73.9164i | 0.394973 | + | 0.133907i | ||||
\(553\) | 10.1598 | + | 10.1598i | 0.0183722 | + | 0.0183722i | ||||
\(554\) | −86.3067 | − | 33.5501i | −0.155788 | − | 0.0605598i | ||||
\(555\) | −404.451 | − | 976.431i | −0.728741 | − | 1.75934i | ||||
\(556\) | 262.222 | − | 122.358i | 0.471623 | − | 0.220068i | ||||
\(557\) | −296.952 | + | 716.907i | −0.533128 | + | 1.28709i | 0.396313 | + | 0.918115i | \(0.370289\pi\) |
−0.929441 | + | 0.368970i | \(0.879711\pi\) | |||||||
\(558\) | 24.7683 | − | 0.543612i | 0.0443876 | − | 0.000974214i | ||||
\(559\) | −1.97418 | −0.00353163 | ||||||||
\(560\) | −207.522 | + | 659.352i | −0.370576 | + | 1.17741i | ||||
\(561\) | − | 143.235i | − | 0.255321i | ||||||
\(562\) | 473.431 | − | 10.3908i | 0.842405 | − | 0.0184890i | ||||
\(563\) | −44.6869 | − | 18.5099i | −0.0793728 | − | 0.0328773i | 0.342644 | − | 0.939465i | \(-0.388678\pi\) |
−0.422017 | + | 0.906588i | \(0.638678\pi\) | |||||||
\(564\) | −362.287 | − | 131.757i | −0.642354 | − | 0.233612i | ||||
\(565\) | −1031.56 | + | 427.287i | −1.82577 | + | 0.756260i | ||||
\(566\) | 997.509 | + | 387.763i | 1.76238 | + | 0.685094i | ||||
\(567\) | 164.668 | − | 164.668i | 0.290420 | − | 0.290420i | ||||
\(568\) | 855.396 | − | 56.3949i | 1.50598 | − | 0.0992868i | ||||
\(569\) | 487.094 | − | 487.094i | 0.856053 | − | 0.856053i | −0.134818 | − | 0.990870i | \(-0.543045\pi\) |
0.990870 | + | 0.134818i | \(0.0430449\pi\) | |||||||
\(570\) | −29.4150 | − | 66.8275i | −0.0516052 | − | 0.117241i | ||||
\(571\) | −252.561 | + | 104.614i | −0.442313 | + | 0.183212i | −0.592714 | − | 0.805413i | \(-0.701944\pi\) |
0.150401 | + | 0.988625i | \(0.451944\pi\) | |||||||
\(572\) | 20.6230 | + | 469.592i | 0.0360543 | + | 0.820964i | ||||
\(573\) | 411.111 | + | 170.288i | 0.717472 | + | 0.297187i | ||||
\(574\) | 214.572 | − | 224.202i | 0.373819 | − | 0.390596i | ||||
\(575\) | − | 519.161i | − | 0.902889i | ||||||
\(576\) | 117.223 | − | 153.010i | 0.203512 | − | 0.265643i | ||||
\(577\) | 460.004 | 0.797234 | 0.398617 | − | 0.917118i | \(-0.369490\pi\) | ||||
0.398617 | + | 0.917118i | \(0.369490\pi\) | |||||||
\(578\) | −398.100 | − | 381.000i | −0.688754 | − | 0.659170i | ||||
\(579\) | −207.208 | + | 500.244i | −0.357872 | + | 0.863979i | ||||
\(580\) | −1397.69 | + | 61.3821i | −2.40980 | + | 0.105831i | ||||
\(581\) | −170.432 | − | 411.460i | −0.293343 | − | 0.708193i | ||||
\(582\) | −295.873 | + | 130.232i | −0.508372 | + | 0.223767i | ||||
\(583\) | 275.947 | + | 275.947i | 0.473323 | + | 0.473323i | ||||
\(584\) | −327.814 | + | 21.6123i | −0.561325 | + | 0.0370073i | ||||
\(585\) | −130.533 | − | 130.533i | −0.223133 | − | 0.223133i | ||||
\(586\) | 277.914 | − | 714.926i | 0.474257 | − | 1.22001i | ||||
\(587\) | 68.3015 | + | 164.895i | 0.116357 | + | 0.280911i | 0.971319 | − | 0.237780i | \(-0.0764197\pi\) |
−0.854962 | + | 0.518690i | \(0.826420\pi\) | |||||||
\(588\) | 73.6267 | − | 202.449i | 0.125216 | − | 0.344300i | ||||
\(589\) | 2.82379 | − | 6.81723i | 0.00479421 | − | 0.0115742i | ||||
\(590\) | −40.0448 | − | 1824.54i | −0.0678725 | − | 3.09244i | ||||
\(591\) | −98.7067 | −0.167016 | ||||||||
\(592\) | −384.095 | − | 736.920i | −0.648809 | − | 1.24480i | ||||
\(593\) | 167.545i | 0.282538i | 0.989971 | + | 0.141269i | \(0.0451182\pi\) | ||||
−0.989971 | + | 0.141269i | \(0.954882\pi\) | |||||||
\(594\) | −20.5650 | − | 936.990i | −0.0346211 | − | 1.57742i | ||||
\(595\) | −146.544 | − | 60.7006i | −0.246293 | − | 0.102018i | ||||
\(596\) | −184.057 | − | 394.448i | −0.308820 | − | 0.661825i | ||||
\(597\) | −433.609 | + | 179.607i | −0.726313 | + | 0.300848i | ||||
\(598\) | 62.8115 | − | 161.581i | 0.105036 | − | 0.270202i | ||||
\(599\) | −316.998 | + | 316.998i | −0.529213 | + | 0.529213i | −0.920338 | − | 0.391125i | \(-0.872086\pi\) |
0.391125 | + | 0.920338i | \(0.372086\pi\) | |||||||
\(600\) | 818.510 | + | 277.497i | 1.36418 | + | 0.462495i | ||||
\(601\) | −224.198 | + | 224.198i | −0.373042 | + | 0.373042i | −0.868584 | − | 0.495542i | \(-0.834970\pi\) |
0.495542 | + | 0.868584i | \(0.334970\pi\) | |||||||
\(602\) | −2.54715 | + | 1.12116i | −0.00423114 | + | 0.00186239i | ||||
\(603\) | 26.7172 | − | 11.0666i | 0.0443071 | − | 0.0183526i | ||||
\(604\) | −561.948 | − | 514.666i | −0.930377 | − | 0.852096i | ||||
\(605\) | 1023.00 | + | 423.742i | 1.69091 | + | 0.700400i | ||||
\(606\) | 69.4054 | + | 66.4242i | 0.114530 | + | 0.109611i | ||||
\(607\) | − | 89.2468i | − | 0.147029i | −0.997294 | − | 0.0735146i | \(-0.976578\pi\) | ||
0.997294 | − | 0.0735146i | \(-0.0234216\pi\) | |||||||
\(608\) | −27.6459 | − | 50.3157i | −0.0454703 | − | 0.0827560i | ||||
\(609\) | −534.745 | −0.878070 | ||||||||
\(610\) | 174.842 | − | 182.689i | 0.286626 | − | 0.299490i | ||||
\(611\) | −111.092 | + | 268.200i | −0.181820 | + | 0.438952i | ||||
\(612\) | 32.6180 | + | 29.8735i | 0.0532974 | + | 0.0488130i | ||||
\(613\) | 202.134 | + | 487.995i | 0.329746 | + | 0.796076i | 0.998611 | + | 0.0526926i | \(0.0167803\pi\) |
−0.668865 | + | 0.743384i | \(0.733220\pi\) | |||||||
\(614\) | 46.5975 | + | 105.864i | 0.0758918 | + | 0.172417i | ||||
\(615\) | −429.741 | − | 429.741i | −0.698766 | − | 0.698766i | ||||
\(616\) | 293.295 | + | 594.169i | 0.476128 | + | 0.964560i | ||||
\(617\) | 380.984 | + | 380.984i | 0.617479 | + | 0.617479i | 0.944884 | − | 0.327405i | \(-0.106174\pi\) |
−0.327405 | + | 0.944884i | \(0.606174\pi\) | |||||||
\(618\) | −3.80088 | − | 1.47752i | −0.00615029 | − | 0.00239081i | ||||
\(619\) | −371.320 | − | 896.447i | −0.599871 | − | 1.44822i | −0.873712 | − | 0.486443i | \(-0.838294\pi\) |
0.273841 | − | 0.961775i | \(-0.411706\pi\) | |||||||
\(620\) | 57.8478 | + | 123.972i | 0.0933029 | + | 0.199955i | ||||
\(621\) | −132.278 | + | 319.348i | −0.213008 | + | 0.514248i | ||||
\(622\) | −776.259 | + | 17.0373i | −1.24800 | + | 0.0273911i | ||||
\(623\) | 532.098 | 0.854090 | ||||||||
\(624\) | 221.175 | + | 185.395i | 0.354447 | + | 0.297108i | ||||
\(625\) | − | 220.337i | − | 0.352539i | ||||||
\(626\) | 221.699 | − | 4.86583i | 0.354152 | − | 0.00777289i | ||||
\(627\) | −64.6636 | − | 26.7845i | −0.103132 | − | 0.0427186i | ||||
\(628\) | 82.9407 | − | 228.059i | 0.132071 | − | 0.363151i | ||||
\(629\) | 176.177 | − | 72.9747i | 0.280090 | − | 0.116017i | ||||
\(630\) | −242.548 | − | 94.2861i | −0.384997 | − | 0.149660i | ||||
\(631\) | 384.726 | − | 384.726i | 0.609708 | − | 0.609708i | −0.333162 | − | 0.942870i | \(-0.608115\pi\) |
0.942870 | + | 0.333162i | \(0.108115\pi\) | |||||||
\(632\) | 14.5813 | − | 16.6397i | 0.0230717 | − | 0.0263286i | ||||
\(633\) | 258.492 | − | 258.492i | 0.408360 | − | 0.408360i | ||||
\(634\) | 119.061 | + | 270.492i | 0.187793 | + | 0.426643i | ||||
\(635\) | −733.706 | + | 303.911i | −1.15544 | + | 0.478600i | ||||
\(636\) | 239.375 | − | 10.5126i | 0.376376 | − | 0.0165293i | ||||
\(637\) | −149.872 | − | 62.0789i | −0.235277 | − | 0.0974551i | ||||
\(638\) | −927.266 | + | 968.882i | −1.45339 | + | 1.51862i | ||||
\(639\) | 322.729i | 0.505053i | ||||||||
\(640\) | 1034.11 | + | 252.065i | 1.61580 | + | 0.393851i | ||||
\(641\) | −407.931 | −0.636398 | −0.318199 | − | 0.948024i | \(-0.603078\pi\) | ||||
−0.318199 | + | 0.948024i | \(0.603078\pi\) | |||||||
\(642\) | 512.393 | + | 490.385i | 0.798121 | + | 0.763839i | ||||
\(643\) | −319.302 | + | 770.863i | −0.496582 | + | 1.19885i | 0.454732 | + | 0.890629i | \(0.349735\pi\) |
−0.951313 | + | 0.308226i | \(0.900265\pi\) | |||||||
\(644\) | −10.7222 | − | 244.148i | −0.0166494 | − | 0.379111i | ||||
\(645\) | 2.08564 | + | 5.03519i | 0.00323356 | + | 0.00780650i | ||||
\(646\) | 12.0576 | − | 5.30732i | 0.0186650 | − | 0.00821566i | ||||
\(647\) | −48.6565 | − | 48.6565i | −0.0752033 | − | 0.0752033i | 0.668505 | − | 0.743708i | \(-0.266935\pi\) |
−0.743708 | + | 0.668505i | \(0.766935\pi\) | |||||||
\(648\) | −269.692 | − | 236.331i | −0.416191 | − | 0.364708i | ||||
\(649\) | −1237.02 | − | 1237.02i | −1.90604 | − | 1.90604i | ||||
\(650\) | 235.807 | − | 606.606i | 0.362780 | − | 0.933239i | ||||
\(651\) | 20.0106 | + | 48.3098i | 0.0307382 | + | 0.0742085i | ||||
\(652\) | 842.445 | + | 306.381i | 1.29209 | + | 0.469910i | ||||
\(653\) | −290.106 | + | 700.378i | −0.444267 | + | 1.07255i | 0.530170 | + | 0.847892i | \(0.322128\pi\) |
−0.974436 | + | 0.224663i | \(0.927872\pi\) | |||||||
\(654\) | 8.25084 | + | 375.929i | 0.0126160 | + | 0.574814i | ||||
\(655\) | 1458.46 | 2.22665 | ||||||||
\(656\) | −366.220 | − | 306.977i | −0.558263 | − | 0.467952i | ||||
\(657\) | − | 123.680i | − | 0.188249i | ||||||
\(658\) | 8.97953 | + | 409.129i | 0.0136467 | + | 0.621777i | ||||
\(659\) | 818.045 | + | 338.845i | 1.24134 | + | 0.514181i | 0.904134 | − | 0.427248i | \(-0.140517\pi\) |
0.337209 | + | 0.941430i | \(0.390517\pi\) | |||||||
\(660\) | 1175.92 | − | 548.705i | 1.78169 | − | 0.831371i | ||||
\(661\) | −35.2123 | + | 14.5854i | −0.0532712 | + | 0.0220657i | −0.409160 | − | 0.912463i | \(-0.634178\pi\) |
0.355889 | + | 0.934528i | \(0.384178\pi\) | |||||||
\(662\) | 272.087 | − | 699.936i | 0.411008 | − | 1.05730i | ||||
\(663\) | −46.8281 | + | 46.8281i | −0.0706306 | + | 0.0706306i | ||||
\(664\) | −614.940 | + | 303.548i | −0.926115 | + | 0.457151i | ||||
\(665\) | −54.8067 | + | 54.8067i | −0.0824161 | + | 0.0824161i | ||||
\(666\) | 286.339 | − | 126.036i | 0.429938 | − | 0.189243i | ||||
\(667\) | 456.969 | − | 189.283i | 0.685110 | − | 0.283782i | ||||
\(668\) | −277.530 | + | 303.026i | −0.415464 | + | 0.453632i | ||||
\(669\) | −69.2325 | − | 28.6770i | −0.103487 | − | 0.0428655i | ||||
\(670\) | 115.368 | + | 110.412i | 0.172191 | + | 0.164795i | ||||
\(671\) | − | 242.402i | − | 0.361256i | ||||||
\(672\) | 390.654 | + | 113.595i | 0.581331 | + | 0.169040i | ||||
\(673\) | 114.199 | 0.169687 | 0.0848434 | − | 0.996394i | \(-0.472961\pi\) | ||||
0.0848434 | + | 0.996394i | \(0.472961\pi\) | |||||||
\(674\) | −662.569 | + | 692.305i | −0.983039 | + | 1.02716i | ||||
\(675\) | −496.599 | + | 1198.90i | −0.735702 | + | 1.77614i | ||||
\(676\) | −309.789 | + | 338.249i | −0.458268 | + | 0.500369i | ||||
\(677\) | −212.733 | − | 513.583i | −0.314229 | − | 0.758617i | −0.999539 | − | 0.0303647i | \(-0.990333\pi\) |
0.685310 | − | 0.728252i | \(-0.259667\pi\) | |||||||
\(678\) | 264.746 | + | 601.472i | 0.390480 | + | 0.887126i | ||||
\(679\) | 242.652 | + | 242.652i | 0.357366 | + | 0.357366i | ||||
\(680\) | −78.4212 | + | 231.313i | −0.115325 | + | 0.340166i | ||||
\(681\) | −38.0347 | − | 38.0347i | −0.0558512 | − | 0.0558512i | ||||
\(682\) | 122.229 | + | 47.5144i | 0.179222 | + | 0.0696693i | ||||
\(683\) | 363.453 | + | 877.454i | 0.532142 | + | 1.28471i | 0.930102 | + | 0.367302i | \(0.119719\pi\) |
−0.397959 | + | 0.917403i | \(0.630281\pi\) | |||||||
\(684\) | 19.5859 | − | 9.13916i | 0.0286344 | − | 0.0133613i | ||||
\(685\) | 399.289 | − | 963.969i | 0.582904 | − | 1.40725i | ||||
\(686\) | −737.650 | + | 16.1899i | −1.07529 | + | 0.0236004i | ||||
\(687\) | 490.163 | 0.713483 | ||||||||
\(688\) | 1.98067 | + | 3.80010i | 0.00287889 | + | 0.00552340i | ||||
\(689\) | − | 180.432i | − | 0.261875i | ||||||
\(690\) | −478.473 | + | 10.5015i | −0.693439 | + | 0.0152195i | ||||
\(691\) | −682.306 | − | 282.620i | −0.987418 | − | 0.409002i | −0.170249 | − | 0.985401i | \(-0.554457\pi\) |
−0.817168 | + | 0.576399i | \(0.804457\pi\) | |||||||
\(692\) | −39.8306 | − | 14.4856i | −0.0575586 | − | 0.0209330i | ||||
\(693\) | −230.465 | + | 95.4619i | −0.332562 | + | 0.137752i | ||||
\(694\) | −347.336 | − | 135.021i | −0.500485 | − | 0.194554i | ||||
\(695\) | −425.364 | + | 425.364i | −0.612034 | + | 0.612034i | ||||
\(696\) | 54.1688 | + | 821.631i | 0.0778287 | + | 1.18050i | ||||
\(697\) | 77.5377 | − | 77.5377i | 0.111245 | − | 0.111245i | ||||
\(698\) | −338.485 | − | 768.998i | −0.484935 | − | 1.10172i | ||||
\(699\) | −407.840 | + | 168.933i | −0.583462 | + | 0.241678i | ||||
\(700\) | −40.2533 | − | 916.578i | −0.0575047 | − | 1.30940i | ||||
\(701\) | −565.621 | − | 234.288i | −0.806878 | − | 0.334220i | −0.0591703 | − | 0.998248i | \(-0.518846\pi\) |
−0.747708 | + | 0.664028i | \(0.768846\pi\) | |||||||
\(702\) | −299.609 | + | 313.055i | −0.426793 | + | 0.445948i | ||||
\(703\) | − | 93.1812i | − | 0.132548i | ||||||
\(704\) | 883.225 | − | 510.833i | 1.25458 | − | 0.725616i | ||||
\(705\) | 801.413 | 1.13676 | ||||||||
\(706\) | 239.785 | + | 229.486i | 0.339639 | + | 0.325051i | ||||
\(707\) | 39.0267 | − | 94.2188i | 0.0552004 | − | 0.133266i | ||||
\(708\) | −1073.07 | + | 47.1262i | −1.51564 | + | 0.0665624i | ||||
\(709\) | 447.695 | + | 1080.83i | 0.631446 | + | 1.52444i | 0.837806 | + | 0.545968i | \(0.183838\pi\) |
−0.206360 | + | 0.978476i | \(0.566162\pi\) | |||||||
\(710\) | −1631.11 | + | 717.954i | −2.29734 | + | 1.01120i | ||||
\(711\) | 5.88963 | + | 5.88963i | 0.00828358 | + | 0.00828358i | ||||
\(712\) | −53.9007 | − | 817.564i | −0.0757032 | − | 1.14826i | ||||
\(713\) | −34.2002 | − | 34.2002i | −0.0479666 | − | 0.0479666i | ||||
\(714\) | −33.8248 | + | 87.0132i | −0.0473736 | + | 0.121867i | ||||
\(715\) | −373.945 | − | 902.783i | −0.523000 | − | 1.26263i | ||||
\(716\) | −316.885 | + | 871.328i | −0.442577 | + | 1.21694i | ||||
\(717\) | 372.001 | − | 898.089i | 0.518829 | − | 1.25257i | ||||
\(718\) | −6.26658 | − | 285.521i | −0.00872783 | − | 0.397661i | ||||
\(719\) | 122.001 | 0.169681 | 0.0848406 | − | 0.996395i | \(-0.472962\pi\) | ||||
0.0848406 | + | 0.996395i | \(0.472962\pi\) | |||||||
\(720\) | −120.300 | + | 382.224i | −0.167083 | + | 0.530866i | ||||
\(721\) | 4.32894i | 0.00600408i | ||||||||
\(722\) | 15.7013 | + | 715.390i | 0.0217470 | + | 0.990845i | ||||
\(723\) | −906.877 | − | 375.641i | −1.25433 | − | 0.519559i | ||||
\(724\) | −179.803 | − | 385.332i | −0.248347 | − | 0.532227i | ||||
\(725\) | 1715.55 | − | 710.604i | 2.36628 | − | 0.980144i | ||||
\(726\) | 236.126 | − | 607.426i | 0.325242 | − | 0.836675i | ||||
\(727\) | 438.189 | − | 438.189i | 0.602736 | − | 0.602736i | −0.338301 | − | 0.941038i | \(-0.609852\pi\) |
0.941038 | + | 0.338301i | \(0.109852\pi\) | |||||||
\(728\) | 98.3654 | − | 290.140i | 0.135117 | − | 0.398545i | ||||
\(729\) | 553.213 | − | 553.213i | 0.758866 | − | 0.758866i | ||||
\(730\) | 625.091 | − | 275.142i | 0.856289 | − | 0.376907i | ||||
\(731\) | −0.908495 | + | 0.376311i | −0.00124281 | + | 0.000514789i | ||||
\(732\) | −109.755 | − | 100.521i | −0.149939 | − | 0.137323i | ||||
\(733\) | −629.241 | − | 260.640i | −0.858446 | − | 0.355580i | −0.0903463 | − | 0.995910i | \(-0.528797\pi\) |
−0.768099 | + | 0.640331i | \(0.778797\pi\) | |||||||
\(734\) | 942.018 | + | 901.555i | 1.28340 | + | 1.22828i | ||||
\(735\) | 447.835i | 0.609299i | ||||||||
\(736\) | −374.044 | + | 41.2063i | −0.508212 | + | 0.0559869i | ||||
\(737\) | 153.077 | 0.207703 | ||||||||
\(738\) | 124.387 | − | 129.969i | 0.168546 | − | 0.176110i | ||||
\(739\) | 55.5902 | − | 134.207i | 0.0752235 | − | 0.181606i | −0.881795 | − | 0.471633i | \(-0.843665\pi\) |
0.957018 | + | 0.290028i | \(0.0936646\pi\) | |||||||
\(740\) | 1274.00 | + | 1166.81i | 1.72162 | + | 1.57676i | ||||
\(741\) | 12.3839 | + | 29.8973i | 0.0167124 | + | 0.0403473i | ||||
\(742\) | −102.469 | − | 232.799i | −0.138099 | − | 0.313745i | ||||
\(743\) | −180.295 | − | 180.295i | −0.242658 | − | 0.242658i | 0.575291 | − | 0.817949i | \(-0.304889\pi\) |
−0.817949 | + | 0.575291i | \(0.804889\pi\) | |||||||
\(744\) | 72.2005 | − | 35.6397i | 0.0970436 | − | 0.0479029i | ||||
\(745\) | 639.853 | + | 639.853i | 0.858863 | + | 0.858863i | ||||
\(746\) | −1222.56 | − | 475.248i | −1.63882 | − | 0.637062i | ||||
\(747\) | −98.7991 | − | 238.522i | −0.132261 | − | 0.319307i | ||||
\(748\) | 99.0022 | + | 212.169i | 0.132356 | + | 0.283649i | ||||
\(749\) | 288.119 | − | 695.581i | 0.384672 | − | 0.928680i | ||||
\(750\) | −779.085 | + | 17.0993i | −1.03878 | + | 0.0227990i | ||||
\(751\) | −264.213 | −0.351815 | −0.175908 | − | 0.984407i | \(-0.556286\pi\) | ||||
−0.175908 | + | 0.984407i | \(0.556286\pi\) | |||||||
\(752\) | 627.714 | − | 55.2411i | 0.834726 | − | 0.0734589i | ||||
\(753\) | − | 583.228i | − | 0.774539i | ||||||
\(754\) | 619.911 | − | 13.6057i | 0.822163 | − | 0.0180448i | ||||
\(755\) | 1463.55 | + | 606.223i | 1.93848 | + | 0.802945i | ||||
\(756\) | −208.776 | + | 574.064i | −0.276159 | + | 0.759345i | ||||
\(757\) | −691.098 | + | 286.262i | −0.912944 | + | 0.378154i | −0.789183 | − | 0.614158i | \(-0.789496\pi\) |
−0.123761 | + | 0.992312i | \(0.539496\pi\) | |||||||
\(758\) | 870.819 | + | 338.515i | 1.14884 | + | 0.446590i | ||||
\(759\) | −324.400 | + | 324.400i | −0.427404 | + | 0.427404i | ||||
\(760\) | 89.7619 | + | 78.6582i | 0.118108 | + | 0.103498i | ||||
\(761\) | 287.342 | − | 287.342i | 0.377585 | − | 0.377585i | −0.492645 | − | 0.870230i | \(-0.663970\pi\) |
0.870230 | + | 0.492645i | \(0.163970\pi\) | |||||||
\(762\) | 188.302 | + | 427.801i | 0.247116 | + | 0.561418i | ||||
\(763\) | 368.777 | − | 152.752i | 0.483325 | − | 0.200200i | ||||
\(764\) | −726.667 | + | 31.9130i | −0.951135 | + | 0.0417710i | ||||
\(765\) | −84.9511 | − | 35.1879i | −0.111047 | − | 0.0459973i | ||||
\(766\) | 807.561 | − | 843.805i | 1.05426 | − | 1.10157i | ||||
\(767\) | 808.842i | 1.05455i | ||||||||
\(768\) | 134.964 | − | 611.744i | 0.175735 | − | 0.796541i | ||||
\(769\) | −1240.31 | −1.61289 | −0.806446 | − | 0.591308i | \(-0.798612\pi\) | ||||
−0.806446 | + | 0.591308i | \(0.798612\pi\) | |||||||
\(770\) | −995.176 | − | 952.430i | −1.29244 | − | 1.23692i | ||||
\(771\) | 408.881 | − | 987.127i | 0.530326 | − | 1.28032i | ||||
\(772\) | −38.8321 | − | 884.215i | −0.0503006 | − | 1.14536i | ||||
\(773\) | −318.633 | − | 769.248i | −0.412203 | − | 0.995146i | −0.984545 | − | 0.175131i | \(-0.943965\pi\) |
0.572342 | − | 0.820015i | \(-0.306035\pi\) | |||||||
\(774\) | −1.47657 | + | 0.649933i | −0.00190772 | + | 0.000839706i | ||||
\(775\) | −128.394 | − | 128.394i | −0.165670 | − | 0.165670i | ||||
\(776\) | 348.252 | − | 397.413i | 0.448778 | − | 0.512130i | ||||
\(777\) | 466.918 | + | 466.918i | 0.600924 | + | 0.600924i | ||||
\(778\) | −109.651 | + | 282.074i | −0.140940 | + | 0.362563i | ||||
\(779\) | −20.5052 | − | 49.5039i | −0.0263224 | − | 0.0635480i | ||||
\(780\) | −563.834 | − | 205.056i | −0.722864 | − | 0.262892i | ||||
\(781\) | −653.751 | + | 1578.29i | −0.837069 | + | 2.02086i | ||||
\(782\) | −1.89477 | − | 86.3304i | −0.00242298 | − | 0.110397i | ||||
\(783\) | −1236.33 | −1.57897 | ||||||||
\(784\) | 30.8691 | + | 350.771i | 0.0393739 | + | 0.447412i | ||||
\(785\) | 504.487i | 0.642659i | ||||||||
\(786\) | −18.8353 | − | 858.183i | −0.0239635 | − | 1.09184i | ||||
\(787\) | 584.664 | + | 242.176i | 0.742902 | + | 0.307720i | 0.721842 | − | 0.692058i | \(-0.243296\pi\) |
0.0210600 | + | 0.999778i | \(0.493296\pi\) | |||||||
\(788\) | 146.211 | − | 68.2249i | 0.185547 | − | 0.0865798i | ||||
\(789\) | −1038.03 | + | 429.967i | −1.31563 | + | 0.544952i | ||||
\(790\) | −16.6646 | + | 42.8691i | −0.0210944 | + | 0.0542647i | ||||
\(791\) | 493.280 | − | 493.280i | 0.623616 | − | 0.623616i | ||||
\(792\) | 170.022 | + | 344.438i | 0.214674 | + | 0.434896i | ||||
\(793\) | −79.2491 | + | 79.2491i | −0.0999358 | + | 0.0999358i | ||||
\(794\) | −1035.52 | + | 455.796i | −1.30418 | + | 0.574050i | ||||
\(795\) | −460.196 | + | 190.619i | −0.578863 | + | 0.239773i | ||||
\(796\) | 518.149 | − | 565.751i | 0.650941 | − | 0.710742i | ||||
\(797\) | −651.965 | − | 270.053i | −0.818024 | − | 0.338837i | −0.0658733 | − | 0.997828i | \(-0.520983\pi\) |
−0.752150 | + | 0.658991i | \(0.770983\pi\) | |||||||
\(798\) | 32.9571 | + | 31.5415i | 0.0412996 | + | 0.0395256i | ||||
\(799\) | 144.598i | 0.180974i | ||||||||
\(800\) | −1404.24 | + | 154.697i | −1.75530 | + | 0.193371i | ||||
\(801\) | 308.455 | 0.385088 | ||||||||
\(802\) | −375.995 | + | 392.870i | −0.468822 | + | 0.489863i | ||||
\(803\) | 250.537 | − | 604.850i | 0.312002 | − | 0.753238i | ||||
\(804\) | 63.4787 | − | 69.3104i | 0.0789536 | − | 0.0862070i | ||||
\(805\) | 194.419 | + | 469.370i | 0.241515 | + | 0.583068i | ||||
\(806\) | −24.4267 | − | 55.4947i | −0.0303061 | − | 0.0688520i | ||||
\(807\) | 446.737 | + | 446.737i | 0.553577 | + | 0.553577i | ||||
\(808\) | −148.720 | − | 50.4200i | −0.184059 | − | 0.0624009i | ||||
\(809\) | −734.385 | − | 734.385i | −0.907769 | − | 0.907769i | 0.0883227 | − | 0.996092i | \(-0.471849\pi\) |
−0.996092 | + | 0.0883227i | \(0.971849\pi\) | |||||||
\(810\) | 694.812 | + | 270.095i | 0.857793 | + | 0.333451i | ||||
\(811\) | 430.173 | + | 1038.53i | 0.530423 | + | 1.28055i | 0.931243 | + | 0.364398i | \(0.118725\pi\) |
−0.400820 | + | 0.916157i | \(0.631275\pi\) | |||||||
\(812\) | 792.101 | − | 369.609i | 0.975494 | − | 0.455184i | ||||
\(813\) | −85.9370 | + | 207.470i | −0.105704 | + | 0.255191i | ||||
\(814\) | 1655.64 | − | 36.3378i | 2.03395 | − | 0.0446410i | ||||
\(815\) | −1863.57 | −2.28658 | ||||||||
\(816\) | 137.121 | + | 43.1572i | 0.168041 | + | 0.0528887i | ||||
\(817\) | 0.480510i | 0.000588140i | ||||||||
\(818\) | 513.866 | − | 11.2783i | 0.628199 | − | 0.0137876i | ||||
\(819\) | 106.556 | + | 44.1370i | 0.130105 | + | 0.0538913i | ||||
\(820\) | 933.594 | + | 339.530i | 1.13853 | + | 0.414061i | ||||
\(821\) | 30.8969 | − | 12.7979i | 0.0376333 | − | 0.0155882i | −0.363787 | − | 0.931482i | \(-0.618517\pi\) |
0.401421 | + | 0.915894i | \(0.368517\pi\) | |||||||
\(822\) | −572.373 | − | 222.500i | −0.696318 | − | 0.270681i | ||||
\(823\) | 581.324 | − | 581.324i | 0.706348 | − | 0.706348i | −0.259417 | − | 0.965765i | \(-0.583530\pi\) |
0.965765 | + | 0.259417i | \(0.0835305\pi\) | |||||||
\(824\) | 6.65138 | − | 0.438515i | 0.00807206 | − | 0.000532178i | ||||
\(825\) | −1217.86 | + | 1217.86i | −1.47620 | + | 1.47620i | ||||
\(826\) | 459.351 | + | 1043.59i | 0.556115 | + | 1.26343i | ||||
\(827\) | 625.862 | − | 259.241i | 0.756786 | − | 0.313471i | 0.0292791 | − | 0.999571i | \(-0.490679\pi\) |
0.727507 | + | 0.686100i | \(0.240679\pi\) | |||||||
\(828\) | −6.21563 | − | 141.531i | −0.00750680 | − | 0.170932i | ||||
\(829\) | 1209.84 | + | 501.131i | 1.45939 | + | 0.604500i | 0.964412 | − | 0.264403i | \(-0.0851750\pi\) |
0.494981 | + | 0.868904i | \(0.335175\pi\) | |||||||
\(830\) | 985.726 | − | 1029.97i | 1.18762 | − | 1.24092i | ||||
\(831\) | − | 113.298i | − | 0.136340i | ||||||
\(832\) | −455.762 | − | 121.747i | −0.547791 | − | 0.146330i | ||||
\(833\) | −80.8024 | −0.0970017 | ||||||||
\(834\) | 255.785 | + | 244.798i | 0.306697 | + | 0.293523i | ||||
\(835\) | 326.901 | − | 789.210i | 0.391499 | − | 0.945162i | ||||
\(836\) | 114.297 | − | 5.01959i | 0.136719 | − | 0.00600430i | ||||
\(837\) | 46.2644 | + | 111.692i | 0.0552741 | + | 0.133444i | ||||
\(838\) | 404.415 | − | 178.008i | 0.482595 | − | 0.212421i | ||||
\(839\) | −92.2651 | − | 92.2651i | −0.109970 | − | 0.109970i | 0.649981 | − | 0.759951i | \(-0.274777\pi\) |
−0.759951 | + | 0.649981i | \(0.774777\pi\) | |||||||
\(840\) | −843.929 | + | 55.6389i | −1.00468 | + | 0.0662368i | ||||
\(841\) | 656.279 | + | 656.279i | 0.780355 | + | 0.780355i | ||||
\(842\) | 24.8848 | − | 64.0152i | 0.0295543 | − | 0.0760276i | ||||
\(843\) | 221.728 | + | 535.300i | 0.263023 | + | 0.634994i | ||||
\(844\) | −204.229 | + | 561.562i | −0.241978 | + | 0.665358i | ||||
\(845\) | 364.900 | − | 880.946i | 0.431834 | − | 1.04254i | ||||
\(846\) | 5.20540 | + | 237.171i | 0.00615296 | + | 0.280344i | ||||
\(847\) | −691.816 | −0.816784 | ||||||||
\(848\) | −347.313 | + | 181.025i | −0.409567 | + | 0.213473i | ||||
\(849\) | 1309.47i | 1.54237i | ||||||||
\(850\) | −7.11334 | − | 324.101i | −0.00836864 | − | 0.381296i | ||||
\(851\) | −564.280 | − | 233.733i | −0.663079 | − | 0.274656i | ||||
\(852\) | 443.522 | + | 950.502i | 0.520566 | + | 1.11561i | ||||
\(853\) | 404.566 | − | 167.577i | 0.474286 | − | 0.196456i | −0.132719 | − | 0.991154i | \(-0.542371\pi\) |
0.607005 | + | 0.794698i | \(0.292371\pi\) | |||||||
\(854\) | −57.2431 | + | 147.256i | −0.0670294 | + | 0.172431i | ||||
\(855\) | −31.7713 | + | 31.7713i | −0.0371594 | + | 0.0371594i | ||||
\(856\) | −1097.94 | − | 372.231i | −1.28264 | − | 0.434850i | ||||
\(857\) | −870.817 | + | 870.817i | −1.01612 | + | 1.01612i | −0.0162551 | + | 0.999868i | \(0.505174\pi\) |
−0.999868 | + | 0.0162551i | \(0.994826\pi\) | |||||||
\(858\) | −526.385 | + | 231.695i | −0.613502 | + | 0.270041i | ||||
\(859\) | −1000.98 | + | 414.619i | −1.16528 | + | 0.482677i | −0.879631 | − | 0.475657i | \(-0.842211\pi\) |
−0.285653 | + | 0.958333i | \(0.592211\pi\) | |||||||
\(860\) | −6.56967 | − | 6.01690i | −0.00763915 | − | 0.00699640i | ||||
\(861\) | 350.805 | + | 145.308i | 0.407439 | + | 0.168767i | ||||
\(862\) | −26.7075 | − | 25.5603i | −0.0309832 | − | 0.0296524i | ||||
\(863\) | − | 130.559i | − | 0.151285i | −0.997135 | − | 0.0756423i | \(-0.975899\pi\) | ||
0.997135 | − | 0.0756423i | \(-0.0241007\pi\) | |||||||
\(864\) | 903.193 | + | 262.631i | 1.04536 | + | 0.303971i | ||||
\(865\) | 88.1088 | 0.101860 | ||||||||
\(866\) | 512.062 | − | 535.044i | 0.591296 | − | 0.617834i | ||||
\(867\) | 258.014 | − | 622.900i | 0.297594 | − | 0.718455i | ||||
\(868\) | −63.0322 | − | 57.7287i | −0.0726177 | − | 0.0665077i | ||||
\(869\) | 16.8724 | + | 40.7336i | 0.0194159 | + | 0.0468741i | ||||
\(870\) | −689.614 | − | 1566.72i | −0.792659 | − | 1.80083i | ||||
\(871\) | −50.0457 | − | 50.0457i | −0.0574577 | − | 0.0574577i | ||||
\(872\) | −272.059 | − | 551.149i | −0.311994 | − | 0.632051i | ||||
\(873\) | 140.664 | + | 140.664i | 0.161128 | + | 0.161128i | ||||
\(874\) | −39.3283 | − | 15.2881i | −0.0449980 | − | 0.0174922i | ||||
\(875\) | 316.568 | + | 764.264i | 0.361792 | + | 0.873444i | ||||
\(876\) | −169.971 | − | 364.261i | −0.194031 | − | 0.415824i | ||||
\(877\) | −251.771 | + | 607.829i | −0.287082 | + | 0.693077i | −0.999966 | − | 0.00820433i | \(-0.997388\pi\) |
0.712884 | + | 0.701282i | \(0.247388\pi\) | |||||||
\(878\) | 4.15985 | − | 0.0912999i | 0.00473787 | − | 0.000103986i | ||||
\(879\) | 938.512 | 1.06770 | ||||||||
\(880\) | −1362.59 | + | 1625.56i | −1.54840 | + | 1.84723i | ||||
\(881\) | 349.331i | 0.396516i | 0.980150 | + | 0.198258i | \(0.0635284\pi\) | ||||
−0.980150 | + | 0.198258i | \(0.936472\pi\) | |||||||
\(882\) | −132.533 | + | 2.90882i | −0.150264 | + | 0.00329798i | ||||
\(883\) | −1394.24 | − | 577.514i | −1.57898 | − | 0.654036i | −0.590731 | − | 0.806869i | \(-0.701161\pi\) |
−0.988252 | + | 0.152832i | \(0.951161\pi\) | |||||||
\(884\) | 36.9980 | − | 101.732i | 0.0418529 | − | 0.115081i | ||||
\(885\) | 2062.97 | − | 854.510i | 2.33104 | − | 0.965548i | ||||
\(886\) | −31.2683 | − | 12.1550i | −0.0352916 | − | 0.0137189i | ||||
\(887\) | −980.070 | + | 980.070i | −1.10493 | + | 1.10493i | −0.111120 | + | 0.993807i | \(0.535444\pi\) |
−0.993807 | + | 0.111120i | \(0.964556\pi\) | |||||||
\(888\) | 670.117 | − | 764.713i | 0.754636 | − | 0.861163i | ||||
\(889\) | 350.849 | − | 350.849i | 0.394656 | − | 0.394656i | ||||
\(890\) | 686.200 | + | 1558.97i | 0.771012 | + | 1.75165i | ||||
\(891\) | 660.200 | − | 273.464i | 0.740965 | − | 0.306918i | ||||
\(892\) | 122.373 | − | 5.37426i | 0.137190 | − | 0.00602495i | ||||
\(893\) | 65.2790 | + | 27.0395i | 0.0731008 | + | 0.0302793i | ||||
\(894\) | 368.237 | − | 384.764i | 0.411899 | − | 0.430385i | ||||
\(895\) | − | 1927.46i | − | 2.15358i | ||||||
\(896\) | −657.180 | + | 101.751i | −0.733459 | + | 0.113562i | ||||
\(897\) | 212.113 | 0.236470 | ||||||||
\(898\) | 505.203 | + | 483.503i | 0.562587 | + | 0.538422i | ||||
\(899\) | 66.2018 | − | 159.825i | 0.0736393 | − | 0.177781i | ||||
\(900\) | −23.3347 | − | 531.337i | −0.0259275 | − | 0.590375i | ||||
\(901\) | −34.3933 | − | 83.0327i | −0.0381723 | − | 0.0921561i | ||||
\(902\) | 871.586 | − | 383.640i | 0.966282 | − | 0.425321i | ||||
\(903\) | −2.40777 | − | 2.40777i | −0.00266641 | − | 0.00266641i | ||||
\(904\) | −807.889 | − | 707.952i | −0.893683 | − | 0.783133i | ||||
\(905\) | 625.066 | + | 625.066i | 0.690681 | + | 0.690681i | ||||
\(906\) | 337.812 | − | 869.010i | 0.372860 | − | 0.959172i | ||||
\(907\) | 64.9162 | + | 156.722i | 0.0715725 | + | 0.172791i | 0.955617 | − | 0.294611i | \(-0.0951900\pi\) |
−0.884045 | + | 0.467402i | \(0.845190\pi\) | |||||||
\(908\) | 82.6287 | + | 30.0505i | 0.0910007 | + | 0.0330952i | ||||
\(909\) | 22.6236 | − | 54.6183i | 0.0248885 | − | 0.0600861i | ||||
\(910\) | 13.9750 | + | 636.735i | 0.0153571 | + | 0.699709i | ||||
\(911\) | −989.468 | −1.08613 | −0.543067 | − | 0.839689i | \(-0.682737\pi\) | ||||
−0.543067 | + | 0.839689i | \(0.682737\pi\) | |||||||
\(912\) | 45.1247 | − | 53.8333i | 0.0494788 | − | 0.0590278i | ||||
\(913\) | − | 1366.62i | − | 1.49684i | ||||||
\(914\) | −10.3919 | − | 473.482i | −0.0113697 | − | 0.518033i | ||||
\(915\) | 285.850 | + | 118.403i | 0.312405 | + | 0.129402i | ||||
\(916\) | −726.063 | + | 338.795i | −0.792645 | + | 0.369863i | ||||
\(917\) | −841.857 | + | 348.708i | −0.918055 | + | 0.380271i | ||||
\(918\) | −78.2029 | + | 201.175i | −0.0851884 | + | 0.219144i | ||||
\(919\) | 594.043 | − | 594.043i | 0.646402 | − | 0.646402i | −0.305720 | − | 0.952122i | \(-0.598897\pi\) |
0.952122 | + | 0.305720i | \(0.0988970\pi\) | |||||||
\(920\) | 701.488 | − | 346.270i | 0.762487 | − | 0.376381i | ||||
\(921\) | −100.071 | + | 100.071i | −0.108655 | + | 0.108655i | ||||
\(922\) | −1434.36 | + | 631.353i | −1.55571 | + | 0.684764i | ||||
\(923\) | 729.727 | − | 302.263i | 0.790603 | − | 0.327478i | ||||
\(924\) | −547.575 | + | 597.880i | −0.592614 | + | 0.647056i | ||||
\(925\) | −2118.42 | − | 877.478i | −2.29018 | − | 0.948625i | ||||
\(926\) | 101.791 | + | 97.4191i | 0.109926 | + | 0.105204i | ||||
\(927\) | 2.50947i | 0.00270709i | ||||||||
\(928\) | −648.140 | − | 1179.62i | −0.698427 | − | 1.27114i | ||||
\(929\) | 1637.29 | 1.76242 | 0.881209 | − | 0.472726i | \(-0.156730\pi\) | ||||
0.881209 | + | 0.472726i | \(0.156730\pi\) | |||||||
\(930\) | −115.735 | + | 120.929i | −0.124446 | + | 0.130031i | ||||
\(931\) | −15.1098 | + | 36.4784i | −0.0162297 | + | 0.0391819i | ||||
\(932\) | 487.356 | − | 532.129i | 0.522914 | − | 0.570954i | ||||
\(933\) | −363.556 | − | 877.701i | −0.389663 | − | 0.940730i | ||||
\(934\) | 78.3498 | + | 178.002i | 0.0838863 | + | 0.190580i | ||||
\(935\) | −344.170 | − | 344.170i | −0.368096 | − | 0.368096i | ||||
\(936\) | 57.0221 | − | 168.193i | 0.0609210 | − | 0.179694i | ||||
\(937\) | −407.126 | − | 407.126i | −0.434500 | − | 0.434500i | 0.455656 | − | 0.890156i | \(-0.349405\pi\) |
−0.890156 | + | 0.455656i | \(0.849405\pi\) | |||||||
\(938\) | −92.9920 | − | 36.1489i | −0.0991386 | − | 0.0385383i | ||||
\(939\) | 103.831 | + | 250.671i | 0.110576 | + | 0.266955i | ||||
\(940\) | −1187.11 | + | 553.927i | −1.26288 | + | 0.589284i | ||||
\(941\) | 510.935 | − | 1233.51i | 0.542970 | − | 1.31085i | −0.379648 | − | 0.925131i | \(-0.623955\pi\) |
0.922618 | − | 0.385715i | \(-0.126045\pi\) | |||||||
\(942\) | 296.850 | − | 6.51522i | 0.315127 | − | 0.00691637i | ||||
\(943\) | −351.217 | −0.372446 | ||||||||
\(944\) | 1556.94 | − | 811.503i | 1.64930 | − | 0.859643i | ||||
\(945\) | − | 1269.88i | − | 1.34379i | ||||||
\(946\) | −8.53768 | + | 0.187384i | −0.00902503 | + | 0.000198081i | ||||
\(947\) | −627.458 | − | 259.902i | −0.662574 | − | 0.274447i | 0.0259471 | − | 0.999663i | \(-0.491740\pi\) |
−0.688521 | + | 0.725216i | \(0.741740\pi\) | |||||||
\(948\) | 25.4402 | + | 9.25210i | 0.0268356 | + | 0.00975960i | ||||
\(949\) | −279.654 | + | 115.836i | −0.294682 | + | 0.122061i | ||||
\(950\) | −147.646 | − | 57.3947i | −0.155417 | − | 0.0604155i | ||||
\(951\) | −255.691 | + | 255.691i | −0.268865 | + | 0.268865i | ||||
\(952\) | −10.0389 | − | 152.269i | −0.0105450 | − | 0.159947i | ||||
\(953\) | −1189.93 | + | 1189.93i | −1.24862 | + | 1.24862i | −0.292290 | + | 0.956330i | \(0.594417\pi\) |
−0.956330 | + | 0.292290i | \(0.905583\pi\) | |||||||
\(954\) | −59.4012 | − | 134.953i | −0.0622654 | − | 0.141460i | ||||
\(955\) | 1397.01 | − | 578.660i | 1.46284 | − | 0.605926i | ||||
\(956\) | 69.7153 | + | 1587.43i | 0.0729239 | + | 1.66050i | ||||
\(957\) | −1515.99 | − | 627.945i | −1.58411 | − | 0.656159i | ||||
\(958\) | −1245.31 | + | 1301.20i | −1.29991 | + | 1.35825i | ||||
\(959\) | 651.893i | 0.679764i | ||||||||
\(960\) | 170.977 | + | 1291.05i | 0.178101 | + | 1.34485i | ||||
\(961\) | 944.084 | 0.982397 | ||||||||
\(962\) | −553.161 | − | 529.401i | −0.575012 | − | 0.550313i | ||||
\(963\) | 167.022 | − | 403.226i | 0.173439 | − | 0.418719i | ||||
\(964\) | 1602.97 | − | 70.3975i | 1.66283 | − | 0.0730264i | ||||
\(965\) | 704.118 | + | 1699.89i | 0.729656 | + | 1.76155i | ||||
\(966\) | 273.675 | − | 120.462i | 0.283307 | − | 0.124701i | ||||
\(967\) | 633.832 | + | 633.832i | 0.655462 | + | 0.655462i | 0.954303 | − | 0.298841i | \(-0.0965999\pi\) |
−0.298841 | + | 0.954303i | \(0.596600\pi\) | |||||||
\(968\) | 70.0798 | + | 1062.97i | 0.0723965 | + | 1.09811i | ||||
\(969\) | 11.3978 | + | 11.3978i | 0.0117625 | + | 0.0117625i | ||||
\(970\) | −398.007 | + | 1023.86i | −0.410317 | + | 1.05553i | ||||
\(971\) | −399.517 | − | 964.518i | −0.411449 | − | 0.993325i | −0.984749 | − | 0.173980i | \(-0.944337\pi\) |
0.573301 | − | 0.819345i | \(-0.305663\pi\) | |||||||
\(972\) | −211.708 | + | 582.126i | −0.217807 | + | 0.598895i | ||||
\(973\) | 143.828 | − | 347.232i | 0.147819 | − | 0.356867i | ||||
\(974\) | 10.8900 | + | 496.174i | 0.0111807 | + | 0.509419i | ||||
\(975\) | 796.316 | 0.816734 | ||||||||
\(976\) | 232.056 | + | 73.0367i | 0.237762 | + | 0.0748327i | ||||
\(977\) | − | 122.057i | − | 0.124931i | −0.998047 | − | 0.0624653i | \(-0.980104\pi\) | ||
0.998047 | − | 0.0624653i | \(-0.0198963\pi\) | |||||||
\(978\) | 24.0671 | + | 1096.56i | 0.0246085 | + | 1.12122i | ||||
\(979\) | 1508.49 | + | 624.837i | 1.54085 | + | 0.638240i | ||||
\(980\) | −309.538 | − | 663.364i | −0.315855 | − | 0.676902i | ||||
\(981\) | 213.779 | − | 88.5500i | 0.217919 | − | 0.0902650i | ||||
\(982\) | −212.061 | + | 545.521i | −0.215948 | + | 0.555521i | ||||
\(983\) | 1257.94 | − | 1257.94i | 1.27970 | − | 1.27970i | 0.338864 | − | 0.940835i | \(-0.389957\pi\) |
0.940835 | − | 0.338864i | \(-0.110043\pi\) | |||||||
\(984\) | 187.729 | − | 553.729i | 0.190781 | − | 0.562732i | ||||
\(985\) | −237.176 | + | 237.176i | −0.240788 | + | 0.240788i | ||||
\(986\) | 282.682 | − | 124.426i | 0.286696 | − | 0.126193i | ||||
\(987\) | −462.595 | + | 191.613i | −0.468688 | + | 0.194137i | ||||
\(988\) | −39.0085 | − | 35.7264i | −0.0394823 | − | 0.0361603i | ||||
\(989\) | 2.90984 | + | 1.20530i | 0.00294220 | + | 0.00121870i | ||||
\(990\) | −576.900 | − | 552.121i | −0.582727 | − | 0.557698i | ||||
\(991\) | 1409.81i | 1.42261i | 0.702884 | + | 0.711304i | \(0.251895\pi\) | ||||
−0.702884 | + | 0.711304i | \(0.748105\pi\) | |||||||
\(992\) | −82.3146 | + | 102.696i | −0.0829784 | + | 0.103524i | ||||
\(993\) | 918.834 | 0.925311 | ||||||||
\(994\) | 769.857 | − | 804.409i | 0.774504 | − | 0.809264i | ||||
\(995\) | −610.326 | + | 1473.46i | −0.613393 | + | 1.48086i | ||||
\(996\) | −618.781 | − | 566.717i | −0.621266 | − | 0.568993i | ||||
\(997\) | −60.9825 | − | 147.225i | −0.0611660 | − | 0.147668i | 0.890341 | − | 0.455293i | \(-0.150466\pi\) |
−0.951508 | + | 0.307625i | \(0.900466\pi\) | |||||||
\(998\) | −84.0828 | − | 191.027i | −0.0842513 | − | 0.191409i | ||||
\(999\) | 1079.51 | + | 1079.51i | 1.08059 | + | 1.08059i |
(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 | 32.3.h.a.3.3 | ✓ | 28 | |
3.2 | odd | 2 | 288.3.u.a.163.5 | 28 | |||
4.3 | odd | 2 | 128.3.h.a.47.2 | 28 | |||
8.3 | odd | 2 | 256.3.h.a.95.6 | 28 | |||
8.5 | even | 2 | 256.3.h.b.95.2 | 28 | |||
32.5 | even | 8 | 256.3.h.a.159.6 | 28 | |||
32.11 | odd | 8 | inner | 32.3.h.a.11.3 | yes | 28 | |
32.21 | even | 8 | 128.3.h.a.79.2 | 28 | |||
32.27 | odd | 8 | 256.3.h.b.159.2 | 28 | |||
96.11 | even | 8 | 288.3.u.a.235.5 | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
32.3.h.a.3.3 | ✓ | 28 | 1.1 | even | 1 | trivial | |
32.3.h.a.11.3 | yes | 28 | 32.11 | odd | 8 | inner | |
128.3.h.a.47.2 | 28 | 4.3 | odd | 2 | |||
128.3.h.a.79.2 | 28 | 32.21 | even | 8 | |||
256.3.h.a.95.6 | 28 | 8.3 | odd | 2 | |||
256.3.h.a.159.6 | 28 | 32.5 | even | 8 | |||
256.3.h.b.95.2 | 28 | 8.5 | even | 2 | |||
256.3.h.b.159.2 | 28 | 32.27 | odd | 8 | |||
288.3.u.a.163.5 | 28 | 3.2 | odd | 2 | |||
288.3.u.a.235.5 | 28 | 96.11 | even | 8 |