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 | 19.1 | ||
Character | \(\chi\) | \(=\) | 32.19 |
Dual form | 32.3.h.a.27.1 |
$q$-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 \(\left(\mathbb{Z}/32\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(31\) |
\(\chi(n)\) | \(e\left(\frac{7}{8}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.98676 | − | 0.229757i | −0.993380 | − | 0.114878i | ||||
\(3\) | 1.58190 | + | 0.655246i | 0.527302 | + | 0.218415i | 0.630421 | − | 0.776254i | \(-0.282882\pi\) |
−0.103119 | + | 0.994669i | \(0.532882\pi\) | |||||||
\(4\) | 3.89442 | + | 0.912943i | 0.973606 | + | 0.228236i | ||||
\(5\) | 4.18866 | − | 1.73500i | 0.837732 | − | 0.347000i | 0.0777729 | − | 0.996971i | \(-0.475219\pi\) |
0.759959 | + | 0.649971i | \(0.225219\pi\) | |||||||
\(6\) | −2.99232 | − | 1.66527i | −0.498719 | − | 0.277545i | ||||
\(7\) | 3.93197 | + | 3.93197i | 0.561710 | + | 0.561710i | 0.929793 | − | 0.368083i | \(-0.119986\pi\) |
−0.368083 | + | 0.929793i | \(0.619986\pi\) | |||||||
\(8\) | −7.52753 | − | 2.70857i | −0.940941 | − | 0.338571i | ||||
\(9\) | −4.29089 | − | 4.29089i | −0.476765 | − | 0.476765i | ||||
\(10\) | −8.72048 | + | 2.48465i | −0.872048 | + | 0.248465i | ||||
\(11\) | −14.2355 | + | 5.89652i | −1.29413 | + | 0.536048i | −0.920215 | − | 0.391414i | \(-0.871986\pi\) |
−0.373919 | + | 0.927462i | \(0.621986\pi\) | |||||||
\(12\) | 5.56240 | + | 3.99600i | 0.463534 | + | 0.333000i | ||||
\(13\) | 0.454935 | + | 0.188440i | 0.0349950 | + | 0.0144954i | 0.400112 | − | 0.916466i | \(-0.368971\pi\) |
−0.365117 | + | 0.930962i | \(0.618971\pi\) | |||||||
\(14\) | −6.90848 | − | 8.71527i | −0.493463 | − | 0.622520i | ||||
\(15\) | 7.76291 | 0.517527 | ||||||||
\(16\) | 14.3331 | + | 7.11077i | 0.895817 | + | 0.444423i | ||||
\(17\) | − | 26.5635i | − | 1.56256i | −0.624181 | − | 0.781280i | \(-0.714567\pi\) | ||
0.624181 | − | 0.781280i | \(-0.285433\pi\) | |||||||
\(18\) | 7.53910 | + | 9.51082i | 0.418839 | + | 0.528379i | ||||
\(19\) | −7.25040 | + | 17.5040i | −0.381600 | + | 0.921264i | 0.610057 | + | 0.792358i | \(0.291147\pi\) |
−0.991657 | + | 0.128906i | \(0.958853\pi\) | |||||||
\(20\) | 17.8964 | − | 2.93282i | 0.894818 | − | 0.146641i | ||||
\(21\) | 3.64359 | + | 8.79641i | 0.173504 | + | 0.418877i | ||||
\(22\) | 29.6372 | − | 8.44428i | 1.34715 | − | 0.383831i | ||||
\(23\) | 0.775848 | − | 0.775848i | 0.0337325 | − | 0.0337325i | −0.690039 | − | 0.723772i | \(-0.742407\pi\) |
0.723772 | + | 0.690039i | \(0.242407\pi\) | |||||||
\(24\) | −10.1331 | − | 9.21708i | −0.422210 | − | 0.384045i | ||||
\(25\) | −3.14303 | + | 3.14303i | −0.125721 | + | 0.125721i | ||||
\(26\) | −0.860551 | − | 0.478910i | −0.0330981 | − | 0.0184196i | ||||
\(27\) | −9.87340 | − | 23.8365i | −0.365682 | − | 0.882833i | ||||
\(28\) | 11.7231 | + | 18.9024i | 0.418682 | + | 0.675086i | ||||
\(29\) | −17.9907 | + | 43.4334i | −0.620369 | + | 1.49770i | 0.230901 | + | 0.972977i | \(0.425833\pi\) |
−0.851271 | + | 0.524727i | \(0.824167\pi\) | |||||||
\(30\) | −15.4230 | − | 1.78358i | −0.514101 | − | 0.0594527i | ||||
\(31\) | − | 39.6852i | − | 1.28017i | −0.768306 | − | 0.640083i | \(-0.778900\pi\) | ||
0.768306 | − | 0.640083i | \(-0.221100\pi\) | |||||||
\(32\) | −26.8426 | − | 17.4205i | −0.838832 | − | 0.544391i | ||||
\(33\) | −26.3828 | −0.799480 | ||||||||
\(34\) | −6.10315 | + | 52.7753i | −0.179504 | + | 1.55222i | ||||
\(35\) | 23.2916 | + | 9.64771i | 0.665475 | + | 0.275649i | ||||
\(36\) | −12.7932 | − | 20.6279i | −0.355366 | − | 0.572996i | ||||
\(37\) | 36.4715 | − | 15.1070i | 0.985717 | − | 0.408297i | 0.169177 | − | 0.985586i | \(-0.445889\pi\) |
0.816540 | + | 0.577288i | \(0.195889\pi\) | |||||||
\(38\) | 18.4265 | − | 33.1104i | 0.484907 | − | 0.871327i | ||||
\(39\) | 0.596189 | + | 0.596189i | 0.0152869 | + | 0.0152869i | ||||
\(40\) | −36.2296 | + | 1.71499i | −0.905740 | + | 0.0428746i | ||||
\(41\) | 38.9661 | + | 38.9661i | 0.950392 | + | 0.950392i | 0.998826 | − | 0.0484342i | \(-0.0154231\pi\) |
−0.0484342 | + | 0.998826i | \(0.515423\pi\) | |||||||
\(42\) | −5.21791 | − | 18.3135i | −0.124236 | − | 0.436035i | ||||
\(43\) | −14.2899 | + | 5.91907i | −0.332324 | + | 0.137653i | −0.542605 | − | 0.839988i | \(-0.682562\pi\) |
0.210282 | + | 0.977641i | \(0.432562\pi\) | |||||||
\(44\) | −60.8221 | + | 9.96739i | −1.38232 | + | 0.226532i | ||||
\(45\) | −25.4177 | − | 10.5284i | −0.564839 | − | 0.233964i | ||||
\(46\) | −1.71968 | + | 1.36317i | −0.0373843 | + | 0.0296341i | ||||
\(47\) | 62.1759 | 1.32289 | 0.661446 | − | 0.749993i | \(-0.269943\pi\) | ||||
0.661446 | + | 0.749993i | \(0.269943\pi\) | |||||||
\(48\) | 18.0142 | + | 20.6403i | 0.375297 | + | 0.430005i | ||||
\(49\) | − | 18.0792i | − | 0.368964i | ||||||
\(50\) | 6.96658 | − | 5.52232i | 0.139332 | − | 0.110446i | ||||
\(51\) | 17.4057 | − | 42.0210i | 0.341287 | − | 0.823940i | ||||
\(52\) | 1.59968 | + | 1.14920i | 0.0307630 | + | 0.0220999i | ||||
\(53\) | 11.4986 | + | 27.7600i | 0.216954 | + | 0.523773i | 0.994462 | − | 0.105100i | \(-0.0335163\pi\) |
−0.777508 | + | 0.628874i | \(0.783516\pi\) | |||||||
\(54\) | 14.1395 | + | 49.6259i | 0.261842 | + | 0.918998i | ||||
\(55\) | −49.3970 | + | 49.3970i | −0.898128 | + | 0.898128i | ||||
\(56\) | −18.9480 | − | 40.2480i | −0.338357 | − | 0.718715i | ||||
\(57\) | −22.9389 | + | 22.9389i | −0.402437 | + | 0.402437i | ||||
\(58\) | 45.7223 | − | 82.1583i | 0.788316 | − | 1.41652i | ||||
\(59\) | −5.30584 | − | 12.8094i | −0.0899295 | − | 0.217109i | 0.872515 | − | 0.488587i | \(-0.162488\pi\) |
−0.962445 | + | 0.271478i | \(0.912488\pi\) | |||||||
\(60\) | 30.2321 | + | 7.08709i | 0.503868 | + | 0.118118i | ||||
\(61\) | 14.1407 | − | 34.1386i | 0.231814 | − | 0.559650i | −0.764576 | − | 0.644533i | \(-0.777052\pi\) |
0.996391 | + | 0.0848835i | \(0.0270518\pi\) | |||||||
\(62\) | −9.11794 | + | 78.8449i | −0.147064 | + | 1.27169i | ||||
\(63\) | − | 33.7433i | − | 0.535607i | ||||||
\(64\) | 49.3273 | + | 40.7776i | 0.770739 | + | 0.637151i | ||||
\(65\) | 2.23251 | 0.0343463 | ||||||||
\(66\) | 52.4163 | + | 6.06163i | 0.794187 | + | 0.0918430i | ||||
\(67\) | 26.1257 | + | 10.8216i | 0.389937 | + | 0.161517i | 0.569033 | − | 0.822314i | \(-0.307318\pi\) |
−0.179097 | + | 0.983831i | \(0.557318\pi\) | |||||||
\(68\) | 24.2510 | − | 103.450i | 0.356632 | − | 1.52132i | ||||
\(69\) | 1.73569 | − | 0.718946i | 0.0251549 | − | 0.0104195i | ||||
\(70\) | −44.0583 | − | 24.5191i | −0.629404 | − | 0.350273i | ||||
\(71\) | 17.7859 | + | 17.7859i | 0.250505 | + | 0.250505i | 0.821178 | − | 0.570672i | \(-0.193317\pi\) |
−0.570672 | + | 0.821178i | \(0.693317\pi\) | |||||||
\(72\) | 20.6776 | + | 43.9219i | 0.287189 | + | 0.610027i | ||||
\(73\) | 12.8313 | + | 12.8313i | 0.175771 | + | 0.175771i | 0.789510 | − | 0.613738i | \(-0.210335\pi\) |
−0.613738 | + | 0.789510i | \(0.710335\pi\) | |||||||
\(74\) | −75.9311 | + | 21.6344i | −1.02610 | + | 0.292357i | ||||
\(75\) | −7.03144 | + | 2.91252i | −0.0937525 | + | 0.0388336i | ||||
\(76\) | −44.2163 | + | 61.5488i | −0.581793 | + | 0.809853i | ||||
\(77\) | −79.1584 | − | 32.7885i | −1.02803 | − | 0.425824i | ||||
\(78\) | −1.04751 | − | 1.32146i | −0.0134296 | − | 0.0169418i | ||||
\(79\) | −144.157 | −1.82477 | −0.912383 | − | 0.409337i | \(-0.865760\pi\) | ||||
−0.912383 | + | 0.409337i | \(0.865760\pi\) | |||||||
\(80\) | 72.3735 | + | 4.91674i | 0.904669 | + | 0.0614592i | ||||
\(81\) | 10.4375i | 0.128858i | ||||||||
\(82\) | −68.4635 | − | 86.3689i | −0.834921 | − | 1.05328i | ||||
\(83\) | −10.9897 | + | 26.5314i | −0.132406 | + | 0.319655i | −0.976153 | − | 0.217086i | \(-0.930345\pi\) |
0.843747 | + | 0.536741i | \(0.180345\pi\) | |||||||
\(84\) | 6.15907 | + | 37.5833i | 0.0733223 | + | 0.447421i | ||||
\(85\) | −46.0877 | − | 111.266i | −0.542208 | − | 1.30901i | ||||
\(86\) | 29.7506 | − | 8.47657i | 0.345937 | − | 0.0985648i | ||||
\(87\) | −56.9192 | + | 56.9192i | −0.654244 | + | 0.654244i | ||||
\(88\) | 123.129 | − | 5.82851i | 1.39919 | − | 0.0662330i | ||||
\(89\) | −5.92267 | + | 5.92267i | −0.0665469 | + | 0.0665469i | −0.739597 | − | 0.673050i | \(-0.764984\pi\) |
0.673050 | + | 0.739597i | \(0.264984\pi\) | |||||||
\(90\) | 48.0800 | + | 26.7572i | 0.534222 | + | 0.297303i | ||||
\(91\) | 1.04785 | + | 2.52973i | 0.0115148 | + | 0.0277993i | ||||
\(92\) | 3.72978 | − | 2.31318i | 0.0405411 | − | 0.0251432i | ||||
\(93\) | 26.0036 | − | 62.7782i | 0.279608 | − | 0.675034i | ||||
\(94\) | −123.529 | − | 14.2853i | −1.31413 | − | 0.151972i | ||||
\(95\) | 85.8978i | 0.904187i | ||||||||
\(96\) | −31.0477 | − | 45.1461i | −0.323414 | − | 0.470272i | ||||
\(97\) | 66.9192 | 0.689889 | 0.344944 | − | 0.938623i | \(-0.387898\pi\) | ||||
0.344944 | + | 0.938623i | \(0.387898\pi\) | |||||||
\(98\) | −4.15383 | + | 35.9191i | −0.0423860 | + | 0.366521i | ||||
\(99\) | 86.3841 | + | 35.7815i | 0.872566 | + | 0.361429i | ||||
\(100\) | −15.1097 | + | 9.37089i | −0.151097 | + | 0.0937089i | ||||
\(101\) | 23.3697 | − | 9.68007i | 0.231384 | − | 0.0958422i | −0.263979 | − | 0.964528i | \(-0.585035\pi\) |
0.495363 | + | 0.868686i | \(0.335035\pi\) | |||||||
\(102\) | −44.2354 | + | 79.4865i | −0.433681 | + | 0.779279i | ||||
\(103\) | −15.5454 | − | 15.5454i | −0.150927 | − | 0.150927i | 0.627605 | − | 0.778532i | \(-0.284035\pi\) |
−0.778532 | + | 0.627605i | \(0.784035\pi\) | |||||||
\(104\) | −2.91413 | − | 2.65071i | −0.0280205 | − | 0.0254876i | ||||
\(105\) | 30.5235 | + | 30.5235i | 0.290700 | + | 0.290700i | ||||
\(106\) | −16.4668 | − | 57.7943i | −0.155347 | − | 0.545229i | ||||
\(107\) | 107.060 | − | 44.3456i | 1.00056 | − | 0.414444i | 0.178556 | − | 0.983930i | \(-0.442857\pi\) |
0.822001 | + | 0.569485i | \(0.192857\pi\) | |||||||
\(108\) | −16.6898 | − | 101.843i | −0.154536 | − | 0.942994i | ||||
\(109\) | 82.3132 | + | 34.0952i | 0.755167 | + | 0.312800i | 0.726848 | − | 0.686799i | \(-0.240985\pi\) |
0.0283190 | + | 0.999599i | \(0.490985\pi\) | |||||||
\(110\) | 109.489 | − | 86.7907i | 0.995358 | − | 0.789006i | ||||
\(111\) | 67.5933 | 0.608949 | ||||||||
\(112\) | 28.3979 | + | 84.3165i | 0.253552 | + | 0.752826i | ||||
\(113\) | 9.91566i | 0.0877492i | 0.999037 | + | 0.0438746i | \(0.0139702\pi\) | ||||
−0.999037 | + | 0.0438746i | \(0.986030\pi\) | |||||||
\(114\) | 50.8444 | − | 40.3037i | 0.446004 | − | 0.353541i | ||||
\(115\) | 1.90367 | − | 4.59586i | 0.0165536 | − | 0.0399640i | ||||
\(116\) | −109.716 | + | 152.724i | −0.945825 | + | 1.31658i | ||||
\(117\) | −1.14350 | − | 2.76065i | −0.00977350 | − | 0.0235953i | ||||
\(118\) | 7.59837 | + | 26.6683i | 0.0643930 | + | 0.226003i | ||||
\(119\) | 104.447 | − | 104.447i | 0.877705 | − | 0.877705i | ||||
\(120\) | −58.4355 | − | 21.0264i | −0.486963 | − | 0.175220i | ||||
\(121\) | 82.3196 | − | 82.3196i | 0.680327 | − | 0.680327i | ||||
\(122\) | −35.9377 | + | 64.5763i | −0.294571 | + | 0.529314i | ||||
\(123\) | 36.1082 | + | 87.1730i | 0.293563 | + | 0.708724i | ||||
\(124\) | 36.2303 | − | 154.551i | 0.292180 | − | 1.24638i | ||||
\(125\) | −51.0869 | + | 123.335i | −0.408695 | + | 0.986678i | ||||
\(126\) | −7.75275 | + | 67.0397i | −0.0615297 | + | 0.532061i | ||||
\(127\) | 59.4093i | 0.467790i | 0.972262 | + | 0.233895i | \(0.0751471\pi\) | ||||
−0.972262 | + | 0.233895i | \(0.924853\pi\) | |||||||
\(128\) | −88.6326 | − | 92.3486i | −0.692442 | − | 0.721474i | ||||
\(129\) | −26.4837 | −0.205300 | ||||||||
\(130\) | −4.43546 | − | 0.512935i | −0.0341190 | − | 0.00394565i | ||||
\(131\) | −176.426 | − | 73.0781i | −1.34676 | − | 0.557848i | −0.411375 | − | 0.911466i | \(-0.634951\pi\) |
−0.935390 | + | 0.353618i | \(0.884951\pi\) | |||||||
\(132\) | −102.746 | − | 24.0860i | −0.778378 | − | 0.182470i | ||||
\(133\) | −97.3336 | + | 40.3169i | −0.731832 | + | 0.303135i | ||||
\(134\) | −49.4192 | − | 27.5026i | −0.368800 | − | 0.205243i | ||||
\(135\) | −82.7126 | − | 82.7126i | −0.612686 | − | 0.612686i | ||||
\(136\) | −71.9491 | + | 199.958i | −0.529038 | + | 1.47028i | ||||
\(137\) | −138.710 | − | 138.710i | −1.01248 | − | 1.01248i | −0.999921 | − | 0.0125608i | \(-0.996002\pi\) |
−0.0125608 | − | 0.999921i | \(-0.503998\pi\) | |||||||
\(138\) | −3.61358 | + | 1.02959i | −0.0261853 | + | 0.00746077i | ||||
\(139\) | −63.7662 | + | 26.4128i | −0.458750 | + | 0.190020i | −0.600077 | − | 0.799943i | \(-0.704863\pi\) |
0.141327 | + | 0.989963i | \(0.454863\pi\) | |||||||
\(140\) | 81.8997 | + | 58.8362i | 0.584998 | + | 0.420259i | ||||
\(141\) | 98.3563 | + | 40.7405i | 0.697563 | + | 0.288940i | ||||
\(142\) | −31.2498 | − | 39.4227i | −0.220069 | − | 0.277624i | ||||
\(143\) | −7.58736 | −0.0530584 | ||||||||
\(144\) | −30.9901 | − | 92.0131i | −0.215209 | − | 0.638980i | ||||
\(145\) | 213.142i | 1.46994i | ||||||||
\(146\) | −22.5446 | − | 28.4408i | −0.154415 | − | 0.194800i | ||||
\(147\) | 11.8464 | − | 28.5996i | 0.0805874 | − | 0.194555i | ||||
\(148\) | 155.827 | − | 25.5366i | 1.05289 | − | 0.172545i | ||||
\(149\) | 41.3888 | + | 99.9214i | 0.277777 | + | 0.670613i | 0.999773 | − | 0.0212835i | \(-0.00677526\pi\) |
−0.721996 | + | 0.691897i | \(0.756775\pi\) | |||||||
\(150\) | 14.6390 | − | 4.17095i | 0.0975930 | − | 0.0278063i | ||||
\(151\) | 159.036 | − | 159.036i | 1.05322 | − | 1.05322i | 0.0547164 | − | 0.998502i | \(-0.482575\pi\) |
0.998502 | − | 0.0547164i | \(-0.0174255\pi\) | |||||||
\(152\) | 101.988 | − | 112.124i | 0.670976 | − | 0.737656i | ||||
\(153\) | −113.981 | + | 113.981i | −0.744974 | + | 0.744974i | ||||
\(154\) | 149.735 | + | 83.3300i | 0.972307 | + | 0.541104i | ||||
\(155\) | −68.8537 | − | 166.228i | −0.444218 | − | 1.07244i | ||||
\(156\) | 1.77753 | + | 2.86610i | 0.0113944 | + | 0.0183724i | ||||
\(157\) | 31.5775 | − | 76.2349i | 0.201131 | − | 0.485573i | −0.790843 | − | 0.612020i | \(-0.790357\pi\) |
0.991973 | + | 0.126447i | \(0.0403573\pi\) | |||||||
\(158\) | 286.404 | + | 33.1210i | 1.81269 | + | 0.209626i | ||||
\(159\) | 51.4480i | 0.323573i | ||||||||
\(160\) | −142.659 | − | 26.3967i | −0.891619 | − | 0.164979i | ||||
\(161\) | 6.10122 | 0.0378958 | ||||||||
\(162\) | 2.39808 | − | 20.7367i | 0.0148030 | − | 0.128005i | ||||
\(163\) | −192.658 | − | 79.8016i | −1.18195 | − | 0.489581i | −0.296826 | − | 0.954932i | \(-0.595928\pi\) |
−0.885126 | + | 0.465351i | \(0.845928\pi\) | |||||||
\(164\) | 116.177 | + | 187.324i | 0.708394 | + | 1.14222i | ||||
\(165\) | −110.509 | + | 45.7742i | −0.669749 | + | 0.277419i | ||||
\(166\) | 27.9296 | − | 50.1865i | 0.168251 | − | 0.302329i | ||||
\(167\) | 76.7432 | + | 76.7432i | 0.459540 | + | 0.459540i | 0.898504 | − | 0.438964i | \(-0.144655\pi\) |
−0.438964 | + | 0.898504i | \(0.644655\pi\) | |||||||
\(168\) | −3.60156 | − | 76.0841i | −0.0214379 | − | 0.452882i | ||||
\(169\) | −119.330 | − | 119.330i | −0.706092 | − | 0.706092i | ||||
\(170\) | 66.0011 | + | 231.647i | 0.388242 | + | 1.36263i | ||||
\(171\) | 106.218 | − | 43.9971i | 0.621160 | − | 0.257293i | ||||
\(172\) | −61.0547 | + | 10.0055i | −0.354969 | + | 0.0581716i | ||||
\(173\) | 46.0052 | + | 19.0560i | 0.265926 | + | 0.110150i | 0.511663 | − | 0.859187i | \(-0.329030\pi\) |
−0.245737 | + | 0.969337i | \(0.579030\pi\) | |||||||
\(174\) | 126.162 | − | 100.007i | 0.725071 | − | 0.574754i | ||||
\(175\) | −24.7166 | −0.141238 | ||||||||
\(176\) | −245.967 | − | 16.7099i | −1.39754 | − | 0.0949426i | ||||
\(177\) | − | 23.7399i | − | 0.134124i | ||||||
\(178\) | 13.1277 | − | 10.4062i | 0.0737511 | − | 0.0584615i | ||||
\(179\) | −29.4799 | + | 71.1707i | −0.164692 | + | 0.397602i | −0.984583 | − | 0.174918i | \(-0.944034\pi\) |
0.819891 | + | 0.572520i | \(0.194034\pi\) | |||||||
\(180\) | −89.3756 | − | 64.2069i | −0.496531 | − | 0.356705i | ||||
\(181\) | 46.7381 | + | 112.836i | 0.258222 | + | 0.623402i | 0.998821 | − | 0.0485445i | \(-0.0154583\pi\) |
−0.740599 | + | 0.671947i | \(0.765458\pi\) | |||||||
\(182\) | −1.50060 | − | 5.26672i | −0.00824506 | − | 0.0289380i | ||||
\(183\) | 44.7384 | − | 44.7384i | 0.244472 | − | 0.244472i | ||||
\(184\) | −7.94165 | + | 3.73878i | −0.0431611 | + | 0.0203194i | ||||
\(185\) | 126.556 | − | 126.556i | 0.684087 | − | 0.684087i | ||||
\(186\) | −66.0865 | + | 118.751i | −0.355304 | + | 0.638444i | ||||
\(187\) | 156.632 | + | 378.144i | 0.837606 | + | 2.02216i | ||||
\(188\) | 242.139 | + | 56.7630i | 1.28797 | + | 0.301931i | ||||
\(189\) | 54.9025 | − | 132.546i | 0.290489 | − | 0.701303i | ||||
\(190\) | 19.7356 | − | 170.658i | 0.103872 | − | 0.898201i | ||||
\(191\) | − | 227.376i | − | 1.19045i | −0.803559 | − | 0.595226i | \(-0.797063\pi\) | ||
0.803559 | − | 0.595226i | \(-0.202937\pi\) | |||||||
\(192\) | 51.3117 | + | 96.8279i | 0.267249 | + | 0.504312i | ||||
\(193\) | −46.4565 | −0.240707 | −0.120354 | − | 0.992731i | \(-0.538403\pi\) | ||||
−0.120354 | + | 0.992731i | \(0.538403\pi\) | |||||||
\(194\) | −132.952 | − | 15.3751i | −0.685321 | − | 0.0792533i | ||||
\(195\) | 3.53162 | + | 1.46285i | 0.0181109 | + | 0.00750177i | ||||
\(196\) | 16.5053 | − | 70.4082i | 0.0842107 | − | 0.359225i | ||||
\(197\) | −186.490 | + | 77.2467i | −0.946650 | + | 0.392115i | −0.801971 | − | 0.597363i | \(-0.796215\pi\) |
−0.144680 | + | 0.989479i | \(0.546215\pi\) | |||||||
\(198\) | −163.403 | − | 90.9365i | −0.825269 | − | 0.459275i | ||||
\(199\) | 54.5057 | + | 54.5057i | 0.273898 | + | 0.273898i | 0.830667 | − | 0.556769i | \(-0.187959\pi\) |
−0.556769 | + | 0.830667i | \(0.687959\pi\) | |||||||
\(200\) | 32.1724 | − | 15.1461i | 0.160862 | − | 0.0757307i | ||||
\(201\) | 34.2376 | + | 34.2376i | 0.170336 | + | 0.170336i | ||||
\(202\) | −48.6541 | + | 13.8626i | −0.240862 | + | 0.0686267i | ||||
\(203\) | −241.518 | + | 100.040i | −1.18974 | + | 0.492808i | ||||
\(204\) | 106.148 | − | 147.757i | 0.520332 | − | 0.724299i | ||||
\(205\) | 230.822 | + | 95.6095i | 1.12596 | + | 0.466388i | ||||
\(206\) | 27.3134 | + | 34.4567i | 0.132589 | + | 0.167266i | ||||
\(207\) | −6.65815 | −0.0321650 | ||||||||
\(208\) | 5.18066 | + | 5.93587i | 0.0249070 | + | 0.0285378i | ||||
\(209\) | − | 291.930i | − | 1.39679i | ||||||
\(210\) | −53.6299 | − | 67.6559i | −0.255381 | − | 0.322171i | ||||
\(211\) | 35.0586 | − | 84.6390i | 0.166155 | − | 0.401133i | −0.818769 | − | 0.574123i | \(-0.805343\pi\) |
0.984923 | + | 0.172991i | \(0.0553430\pi\) | |||||||
\(212\) | 19.4370 | + | 118.607i | 0.0916839 | + | 0.559465i | ||||
\(213\) | 16.4814 | + | 39.7897i | 0.0773776 | + | 0.186806i | ||||
\(214\) | −222.890 | + | 63.5062i | −1.04154 | + | 0.296758i | ||||
\(215\) | −49.5860 | + | 49.5860i | −0.230632 | + | 0.230632i | ||||
\(216\) | 9.75951 | + | 206.173i | 0.0451829 | + | 0.954503i | ||||
\(217\) | 156.041 | − | 156.041i | 0.719082 | − | 0.719082i | ||||
\(218\) | −155.703 | − | 86.6510i | −0.714233 | − | 0.397482i | ||||
\(219\) | 11.8902 | + | 28.7056i | 0.0542933 | + | 0.131076i | ||||
\(220\) | −237.470 | + | 147.276i | −1.07941 | + | 0.669438i | ||||
\(221\) | 5.00564 | − | 12.0847i | 0.0226499 | − | 0.0546818i | ||||
\(222\) | −134.292 | − | 15.5300i | −0.604917 | − | 0.0699551i | ||||
\(223\) | 428.136i | 1.91989i | 0.280181 | + | 0.959947i | \(0.409606\pi\) | ||||
−0.280181 | + | 0.959947i | \(0.590394\pi\) | |||||||
\(224\) | −37.0474 | − | 174.041i | −0.165390 | − | 0.776970i | ||||
\(225\) | 26.9728 | 0.119879 | ||||||||
\(226\) | 2.27819 | − | 19.7000i | 0.0100805 | − | 0.0871683i | ||||
\(227\) | −112.195 | − | 46.4728i | −0.494252 | − | 0.204726i | 0.121613 | − | 0.992578i | \(-0.461193\pi\) |
−0.615865 | + | 0.787852i | \(0.711193\pi\) | |||||||
\(228\) | −110.276 | + | 68.3918i | −0.483665 | + | 0.299964i | ||||
\(229\) | 128.033 | − | 53.0331i | 0.559097 | − | 0.231586i | −0.0851960 | − | 0.996364i | \(-0.527152\pi\) |
0.644293 | + | 0.764779i | \(0.277152\pi\) | |||||||
\(230\) | −4.83806 | + | 8.69348i | −0.0210350 | + | 0.0377977i | ||||
\(231\) | −103.736 | − | 103.736i | −0.449076 | − | 0.449076i | ||||
\(232\) | 253.068 | − | 278.217i | 1.09081 | − | 1.19921i | ||||
\(233\) | −90.6042 | − | 90.6042i | −0.388859 | − | 0.388859i | 0.485421 | − | 0.874280i | \(-0.338666\pi\) |
−0.874280 | + | 0.485421i | \(0.838666\pi\) | |||||||
\(234\) | 1.63758 | + | 5.74748i | 0.00699820 | + | 0.0245619i | ||||
\(235\) | 260.434 | − | 107.875i | 1.10823 | − | 0.459043i | ||||
\(236\) | −8.96891 | − | 54.7293i | −0.0380039 | − | 0.231904i | ||||
\(237\) | −228.042 | − | 94.4581i | −0.962202 | − | 0.398557i | ||||
\(238\) | −231.508 | + | 183.514i | −0.972724 | + | 0.771065i | ||||
\(239\) | 283.775 | 1.18734 | 0.593672 | − | 0.804707i | \(-0.297677\pi\) | ||||
0.593672 | + | 0.804707i | \(0.297677\pi\) | |||||||
\(240\) | 111.266 | + | 55.2003i | 0.463610 | + | 0.230001i | ||||
\(241\) | 309.483i | 1.28416i | 0.766636 | + | 0.642082i | \(0.221929\pi\) | ||||
−0.766636 | + | 0.642082i | \(0.778071\pi\) | |||||||
\(242\) | −182.463 | + | 144.636i | −0.753978 | + | 0.597668i | ||||
\(243\) | −95.6997 | + | 231.040i | −0.393826 | + | 0.950780i | ||||
\(244\) | 86.2364 | − | 120.041i | 0.353428 | − | 0.491970i | ||||
\(245\) | −31.3674 | − | 75.7277i | −0.128030 | − | 0.309093i | ||||
\(246\) | −51.7098 | − | 181.488i | −0.210202 | − | 0.737756i | ||||
\(247\) | −6.59693 | + | 6.59693i | −0.0267082 | + | 0.0267082i | ||||
\(248\) | −107.490 | + | 298.731i | −0.433427 | + | 1.20456i | ||||
\(249\) | −34.7692 | + | 34.7692i | −0.139635 | + | 0.139635i | ||||
\(250\) | 129.834 | − | 233.299i | 0.519337 | − | 0.933195i | ||||
\(251\) | −33.9351 | − | 81.9265i | −0.135199 | − | 0.326400i | 0.841751 | − | 0.539866i | \(-0.181525\pi\) |
−0.976951 | + | 0.213465i | \(0.931525\pi\) | |||||||
\(252\) | 30.8057 | − | 131.411i | 0.122245 | − | 0.521471i | ||||
\(253\) | −6.46975 | + | 15.6194i | −0.0255721 | + | 0.0617366i | ||||
\(254\) | 13.6497 | − | 118.032i | 0.0537389 | − | 0.464693i | ||||
\(255\) | − | 206.210i | − | 0.808668i | ||||||
\(256\) | 154.874 | + | 203.838i | 0.604976 | + | 0.796244i | ||||
\(257\) | 193.069 | 0.751241 | 0.375621 | − | 0.926774i | \(-0.377430\pi\) | ||||
0.375621 | + | 0.926774i | \(0.377430\pi\) | |||||||
\(258\) | 52.6168 | + | 6.08482i | 0.203941 | + | 0.0235846i | ||||
\(259\) | 202.805 | + | 84.0047i | 0.783032 | + | 0.324342i | ||||
\(260\) | 8.69435 | + | 2.03816i | 0.0334398 | + | 0.00783906i | ||||
\(261\) | 263.564 | − | 109.172i | 1.00982 | − | 0.418283i | ||||
\(262\) | 333.726 | + | 185.724i | 1.27376 | + | 0.708869i | ||||
\(263\) | −14.4799 | − | 14.4799i | −0.0550568 | − | 0.0550568i | 0.679042 | − | 0.734099i | \(-0.262395\pi\) |
−0.734099 | + | 0.679042i | \(0.762395\pi\) | |||||||
\(264\) | 198.597 | + | 71.4597i | 0.752263 | + | 0.270681i | ||||
\(265\) | 96.3271 | + | 96.3271i | 0.363498 | + | 0.363498i | ||||
\(266\) | 202.642 | − | 57.7369i | 0.761810 | − | 0.217056i | ||||
\(267\) | −13.2499 | + | 5.48830i | −0.0496252 | + | 0.0205554i | ||||
\(268\) | 91.8652 | + | 65.9954i | 0.342781 | + | 0.246251i | ||||
\(269\) | −125.951 | − | 52.1707i | −0.468220 | − | 0.193943i | 0.136083 | − | 0.990697i | \(-0.456549\pi\) |
−0.604303 | + | 0.796754i | \(0.706549\pi\) | |||||||
\(270\) | 145.326 | + | 183.334i | 0.538245 | + | 0.679014i | ||||
\(271\) | −490.650 | −1.81052 | −0.905258 | − | 0.424863i | \(-0.860322\pi\) | ||||
−0.905258 | + | 0.424863i | \(0.860322\pi\) | |||||||
\(272\) | 188.887 | − | 380.737i | 0.694438 | − | 1.39977i | ||||
\(273\) | 4.68840i | 0.0171736i | ||||||||
\(274\) | 243.714 | + | 307.453i | 0.889466 | + | 1.12209i | ||||
\(275\) | 26.2096 | − | 63.2755i | 0.0953076 | − | 0.230093i | ||||
\(276\) | 7.41586 | − | 1.21529i | 0.0268691 | − | 0.00440324i | ||||
\(277\) | −183.667 | − | 443.412i | −0.663059 | − | 1.60076i | −0.792985 | − | 0.609241i | \(-0.791474\pi\) |
0.129926 | − | 0.991524i | \(-0.458526\pi\) | |||||||
\(278\) | 132.757 | − | 37.8252i | 0.477542 | − | 0.136062i | ||||
\(279\) | −170.285 | + | 170.285i | −0.610339 | + | 0.610339i | ||||
\(280\) | −149.197 | − | 135.710i | −0.532846 | − | 0.484680i | ||||
\(281\) | −164.474 | + | 164.474i | −0.585316 | + | 0.585316i | −0.936359 | − | 0.351043i | \(-0.885827\pi\) |
0.351043 | + | 0.936359i | \(0.385827\pi\) | |||||||
\(282\) | −186.050 | − | 103.540i | −0.659752 | − | 0.367162i | ||||
\(283\) | −98.6436 | − | 238.147i | −0.348564 | − | 0.841508i | −0.996790 | − | 0.0800601i | \(-0.974489\pi\) |
0.648226 | − | 0.761448i | \(-0.275511\pi\) | |||||||
\(284\) | 53.0282 | + | 85.5032i | 0.186719 | + | 0.301068i | ||||
\(285\) | −56.2842 | + | 135.882i | −0.197488 | + | 0.476779i | ||||
\(286\) | 15.0743 | + | 1.74325i | 0.0527072 | + | 0.00609527i | ||||
\(287\) | 306.427i | 1.06769i | ||||||||
\(288\) | 40.4291 | + | 189.928i | 0.140379 | + | 0.659472i | ||||
\(289\) | −416.621 | −1.44159 | ||||||||
\(290\) | 48.9707 | − | 423.461i | 0.168865 | − | 1.46021i | ||||
\(291\) | 105.860 | + | 43.8486i | 0.363779 | + | 0.150682i | ||||
\(292\) | 38.2563 | + | 61.6848i | 0.131015 | + | 0.211249i | ||||
\(293\) | −60.5536 | + | 25.0821i | −0.206668 | + | 0.0856045i | −0.483616 | − | 0.875280i | \(-0.660677\pi\) |
0.276948 | + | 0.960885i | \(0.410677\pi\) | |||||||
\(294\) | −30.1068 | + | 54.0988i | −0.102404 | + | 0.184009i | ||||
\(295\) | −44.4487 | − | 44.4487i | −0.150674 | − | 0.150674i | ||||
\(296\) | −315.459 | + | 14.9327i | −1.06574 | + | 0.0504484i | ||||
\(297\) | 281.105 | + | 281.105i | 0.946481 | + | 0.946481i | ||||
\(298\) | −59.2719 | − | 208.029i | −0.198899 | − | 0.698084i | ||||
\(299\) | 0.499162 | − | 0.206759i | 0.00166944 | − | 0.000691503i | ||||
\(300\) | −30.0424 | + | 4.92328i | −0.100141 | + | 0.0164109i | ||||
\(301\) | −79.4611 | − | 32.9139i | −0.263990 | − | 0.109348i | ||||
\(302\) | −352.506 | + | 279.427i | −1.16724 | + | 0.925254i | ||||
\(303\) | 43.3115 | 0.142942 | ||||||||
\(304\) | −228.388 | + | 199.330i | −0.751275 | + | 0.655692i | ||||
\(305\) | − | 167.529i | − | 0.549276i | ||||||
\(306\) | 252.641 | − | 200.265i | 0.825623 | − | 0.654461i | ||||
\(307\) | 166.166 | − | 401.160i | 0.541257 | − | 1.30671i | −0.382580 | − | 0.923923i | \(-0.624964\pi\) |
0.923836 | − | 0.382787i | \(-0.125036\pi\) | |||||||
\(308\) | −278.342 | − | 199.959i | −0.903708 | − | 0.649218i | ||||
\(309\) | −14.4053 | − | 34.7775i | −0.0466191 | − | 0.112548i | ||||
\(310\) | 98.6038 | + | 346.074i | 0.318077 | + | 1.11637i | ||||
\(311\) | −261.640 | + | 261.640i | −0.841288 | + | 0.841288i | −0.989026 | − | 0.147739i | \(-0.952801\pi\) |
0.147739 | + | 0.989026i | \(0.452801\pi\) | |||||||
\(312\) | −2.87301 | − | 6.10265i | −0.00920837 | − | 0.0195598i | ||||
\(313\) | −301.723 | + | 301.723i | −0.963972 | + | 0.963972i | −0.999373 | − | 0.0354015i | \(-0.988729\pi\) |
0.0354015 | + | 0.999373i | \(0.488729\pi\) | |||||||
\(314\) | −80.2525 | + | 144.205i | −0.255581 | + | 0.459252i | ||||
\(315\) | −58.5445 | − | 141.339i | −0.185856 | − | 0.448695i | ||||
\(316\) | −561.407 | − | 131.607i | −1.77660 | − | 0.416477i | ||||
\(317\) | 11.4511 | − | 27.6454i | 0.0361233 | − | 0.0872094i | −0.904788 | − | 0.425862i | \(-0.859971\pi\) |
0.940912 | + | 0.338652i | \(0.109971\pi\) | |||||||
\(318\) | 11.8205 | − | 102.215i | 0.0371715 | − | 0.321430i | ||||
\(319\) | − | 724.378i | − | 2.27078i | ||||||
\(320\) | 277.364 | + | 85.2207i | 0.866764 | + | 0.266315i | ||||
\(321\) | 198.415 | 0.618117 | ||||||||
\(322\) | −12.1217 | − | 1.40180i | −0.0376449 | − | 0.00435341i | ||||
\(323\) | 464.968 | + | 192.596i | 1.43953 | + | 0.596273i | ||||
\(324\) | −9.52882 | + | 40.6479i | −0.0294099 | + | 0.125457i | ||||
\(325\) | −2.02215 | + | 0.837602i | −0.00622200 | + | 0.00257724i | ||||
\(326\) | 364.430 | + | 202.811i | 1.11788 | + | 0.622120i | ||||
\(327\) | 107.871 | + | 107.871i | 0.329880 | + | 0.329880i | ||||
\(328\) | −187.776 | − | 398.860i | −0.572488 | − | 1.21604i | ||||
\(329\) | 244.474 | + | 244.474i | 0.743081 | + | 0.743081i | ||||
\(330\) | 230.071 | − | 65.5522i | 0.697185 | − | 0.198643i | ||||
\(331\) | −117.333 | + | 48.6009i | −0.354480 | + | 0.146830i | −0.552815 | − | 0.833304i | \(-0.686447\pi\) |
0.198335 | + | 0.980134i | \(0.436447\pi\) | |||||||
\(332\) | −67.0201 | + | 93.2916i | −0.201868 | + | 0.280999i | ||||
\(333\) | −221.318 | − | 91.6728i | −0.664617 | − | 0.275294i | ||||
\(334\) | −134.838 | − | 170.103i | −0.403707 | − | 0.509289i | ||||
\(335\) | 128.207 | 0.382709 | ||||||||
\(336\) | −10.3254 | + | 151.988i | −0.0307304 | + | 0.452346i | ||||
\(337\) | 148.325i | 0.440134i | 0.975485 | + | 0.220067i | \(0.0706276\pi\) | ||||
−0.975485 | + | 0.220067i | \(0.929372\pi\) | |||||||
\(338\) | 209.662 | + | 264.496i | 0.620303 | + | 0.782532i | ||||
\(339\) | −6.49720 | + | 15.6856i | −0.0191658 | + | 0.0462703i | ||||
\(340\) | −77.9059 | − | 475.390i | −0.229135 | − | 1.39821i | ||||
\(341\) | 234.004 | + | 564.937i | 0.686230 | + | 1.65671i | ||||
\(342\) | −221.139 | + | 63.0072i | −0.646605 | + | 0.184232i | ||||
\(343\) | 263.753 | − | 263.753i | 0.768961 | − | 0.768961i | ||||
\(344\) | 123.600 | − | 5.85080i | 0.359302 | − | 0.0170081i | ||||
\(345\) | 6.02284 | − | 6.02284i | 0.0174575 | − | 0.0174575i | ||||
\(346\) | −87.0230 | − | 48.4296i | −0.251512 | − | 0.139970i | ||||
\(347\) | −215.625 | − | 520.565i | −0.621398 | − | 1.50019i | −0.850062 | − | 0.526682i | \(-0.823436\pi\) |
0.228664 | − | 0.973505i | \(-0.426564\pi\) | |||||||
\(348\) | −273.631 | + | 169.703i | −0.786297 | + | 0.487654i | ||||
\(349\) | −92.9006 | + | 224.282i | −0.266191 | + | 0.642641i | −0.999298 | − | 0.0374720i | \(-0.988070\pi\) |
0.733107 | + | 0.680113i | \(0.238070\pi\) | |||||||
\(350\) | 49.1060 | + | 5.67881i | 0.140303 | + | 0.0162252i | ||||
\(351\) | − | 12.7046i | − | 0.0361955i | ||||||
\(352\) | 484.838 | + | 89.7111i | 1.37738 | + | 0.254861i | ||||
\(353\) | 453.234 | 1.28395 | 0.641975 | − | 0.766726i | \(-0.278115\pi\) | ||||
0.641975 | + | 0.766726i | \(0.278115\pi\) | |||||||
\(354\) | −5.45441 | + | 47.1655i | −0.0154079 | + | 0.133236i | ||||
\(355\) | 105.357 | + | 43.6405i | 0.296782 | + | 0.122931i | ||||
\(356\) | −28.4725 | + | 17.6583i | −0.0799788 | + | 0.0496021i | ||||
\(357\) | 233.664 | − | 96.7866i | 0.654520 | − | 0.271111i | ||||
\(358\) | 74.9214 | − | 134.626i | 0.209278 | − | 0.376050i | ||||
\(359\) | 175.857 | + | 175.857i | 0.489852 | + | 0.489852i | 0.908259 | − | 0.418407i | \(-0.137412\pi\) |
−0.418407 | + | 0.908259i | \(0.637412\pi\) | |||||||
\(360\) | 162.816 | + | 148.098i | 0.452266 | + | 0.411384i | ||||
\(361\) | 1.44333 | + | 1.44333i | 0.00399816 | + | 0.00399816i | ||||
\(362\) | −66.9326 | − | 234.916i | −0.184897 | − | 0.648939i | ||||
\(363\) | 184.161 | − | 76.2821i | 0.507332 | − | 0.210144i | ||||
\(364\) | 1.77127 | + | 10.8085i | 0.00486612 | + | 0.0296936i | ||||
\(365\) | 76.0082 | + | 31.4836i | 0.208242 | + | 0.0862566i | ||||
\(366\) | −99.1634 | + | 78.6055i | −0.270938 | + | 0.214769i | ||||
\(367\) | 115.194 | 0.313879 | 0.156939 | − | 0.987608i | \(-0.449837\pi\) | ||||
0.156939 | + | 0.987608i | \(0.449837\pi\) | |||||||
\(368\) | 16.6372 | − | 5.60340i | 0.0452097 | − | 0.0152266i | ||||
\(369\) | − | 334.398i | − | 0.906228i | ||||||
\(370\) | −280.514 | + | 222.359i | −0.758145 | + | 0.600971i | ||||
\(371\) | −63.9394 | + | 154.363i | −0.172343 | + | 0.416074i | ||||
\(372\) | 158.582 | − | 220.745i | 0.426295 | − | 0.593400i | ||||
\(373\) | −95.1961 | − | 229.824i | −0.255217 | − | 0.616149i | 0.743393 | − | 0.668855i | \(-0.233215\pi\) |
−0.998610 | + | 0.0527059i | \(0.983215\pi\) | |||||||
\(374\) | −224.310 | − | 787.269i | −0.599758 | − | 2.10500i | ||||
\(375\) | −161.629 | + | 161.629i | −0.431011 | + | 0.431011i | ||||
\(376\) | −468.031 | − | 168.408i | −1.24476 | − | 0.447893i | ||||
\(377\) | −16.3692 | + | 16.3692i | −0.0434197 | + | 0.0434197i | ||||
\(378\) | −139.531 | + | 250.723i | −0.369131 | + | 0.663289i | ||||
\(379\) | 264.738 | + | 639.134i | 0.698517 | + | 1.68637i | 0.726873 | + | 0.686772i | \(0.240973\pi\) |
−0.0283560 | + | 0.999598i | \(0.509027\pi\) | |||||||
\(380\) | −78.4198 | + | 334.522i | −0.206368 | + | 0.880322i | ||||
\(381\) | −38.9277 | + | 93.9798i | −0.102172 | + | 0.246666i | ||||
\(382\) | −52.2412 | + | 451.742i | −0.136757 | + | 1.18257i | ||||
\(383\) | − | 217.725i | − | 0.568473i | −0.958754 | − | 0.284236i | \(-0.908260\pi\) | ||
0.958754 | − | 0.284236i | \(-0.0917401\pi\) | |||||||
\(384\) | −79.6972 | − | 204.163i | −0.207545 | − | 0.531674i | ||||
\(385\) | −388.455 | −1.00897 | ||||||||
\(386\) | 92.2979 | + | 10.6737i | 0.239114 | + | 0.0276521i | ||||
\(387\) | 86.7145 | + | 35.9183i | 0.224068 | + | 0.0928122i | ||||
\(388\) | 260.612 | + | 61.0934i | 0.671680 | + | 0.157457i | ||||
\(389\) | 452.405 | − | 187.392i | 1.16299 | − | 0.481728i | 0.284123 | − | 0.958788i | \(-0.408297\pi\) |
0.878871 | + | 0.477060i | \(0.158297\pi\) | |||||||
\(390\) | −6.68038 | − | 3.71774i | −0.0171292 | − | 0.00953266i | ||||
\(391\) | −20.6092 | − | 20.6092i | −0.0527091 | − | 0.0527091i | ||||
\(392\) | −48.9688 | + | 136.092i | −0.124920 | + | 0.347173i | ||||
\(393\) | −231.205 | − | 231.205i | −0.588308 | − | 0.588308i | ||||
\(394\) | 388.259 | − | 110.623i | 0.985429 | − | 0.280770i | ||||
\(395\) | −603.823 | + | 250.112i | −1.52866 | + | 0.633194i | ||||
\(396\) | 303.750 | + | 218.212i | 0.767045 | + | 0.551040i | ||||
\(397\) | −281.846 | − | 116.745i | −0.709940 | − | 0.294067i | −0.00166042 | − | 0.999999i | \(-0.500529\pi\) |
−0.708280 | + | 0.705932i | \(0.750529\pi\) | |||||||
\(398\) | −95.7667 | − | 120.813i | −0.240620 | − | 0.303550i | ||||
\(399\) | −180.390 | −0.452105 | ||||||||
\(400\) | −67.3987 | + | 22.6999i | −0.168497 | + | 0.0567498i | ||||
\(401\) | − | 173.814i | − | 0.433452i | −0.976232 | − | 0.216726i | \(-0.930462\pi\) | ||
0.976232 | − | 0.216726i | \(-0.0695378\pi\) | |||||||
\(402\) | −60.1555 | − | 75.8882i | −0.149641 | − | 0.188777i | ||||
\(403\) | 7.47829 | − | 18.0542i | 0.0185565 | − | 0.0447995i | ||||
\(404\) | 99.8490 | − | 16.3630i | 0.247151 | − | 0.0405026i | ||||
\(405\) | 18.1090 | + | 43.7190i | 0.0447136 | + | 0.107948i | ||||
\(406\) | 502.823 | − | 143.265i | 1.23848 | − | 0.352869i | ||||
\(407\) | −430.110 | + | 430.110i | −1.05678 | + | 1.05678i | ||||
\(408\) | −244.838 | + | 269.169i | −0.600093 | + | 0.659729i | ||||
\(409\) | 322.065 | − | 322.065i | 0.787446 | − | 0.787446i | −0.193629 | − | 0.981075i | \(-0.562026\pi\) |
0.981075 | + | 0.193629i | \(0.0620258\pi\) | |||||||
\(410\) | −436.620 | − | 242.986i | −1.06493 | − | 0.592648i | ||||
\(411\) | −128.537 | − | 310.315i | −0.312742 | − | 0.755025i | ||||
\(412\) | −46.3484 | − | 74.7326i | −0.112496 | − | 0.181390i | ||||
\(413\) | 29.5039 | − | 71.2287i | 0.0714380 | − | 0.172467i | ||||
\(414\) | 13.2281 | + | 1.52976i | 0.0319520 | + | 0.00369506i | ||||
\(415\) | 130.198i | 0.313730i | ||||||||
\(416\) | −8.92892 | − | 12.9834i | −0.0214638 | − | 0.0312102i | ||||
\(417\) | −118.179 | −0.283403 | ||||||||
\(418\) | −67.0729 | + | 579.994i | −0.160461 | + | 1.38755i | ||||
\(419\) | 13.9903 | + | 5.79496i | 0.0333896 | + | 0.0138304i | 0.399316 | − | 0.916813i | \(-0.369248\pi\) |
−0.365926 | + | 0.930644i | \(0.619248\pi\) | |||||||
\(420\) | 91.0053 | + | 146.738i | 0.216679 | + | 0.349376i | ||||
\(421\) | −507.883 | + | 210.372i | −1.20637 | + | 0.499696i | −0.893053 | − | 0.449952i | \(-0.851441\pi\) |
−0.313320 | + | 0.949648i | \(0.601441\pi\) | |||||||
\(422\) | −89.0994 | + | 160.102i | −0.211136 | + | 0.379389i | ||||
\(423\) | −266.790 | − | 266.790i | −0.630708 | − | 0.630708i | ||||
\(424\) | −11.3659 | − | 240.109i | −0.0268064 | − | 0.566294i | ||||
\(425\) | 83.4900 | + | 83.4900i | 0.196447 | + | 0.196447i | ||||
\(426\) | −23.6027 | − | 82.8393i | −0.0554054 | − | 0.194458i | ||||
\(427\) | 189.833 | − | 78.6313i | 0.444573 | − | 0.184148i | ||||
\(428\) | 457.421 | − | 74.9610i | 1.06874 | − | 0.175143i | ||||
\(429\) | −12.0025 | − | 4.97159i | −0.0279778 | − | 0.0115888i | ||||
\(430\) | 109.908 | − | 87.1227i | 0.255600 | − | 0.202611i | ||||
\(431\) | 654.734 | 1.51910 | 0.759552 | − | 0.650447i | \(-0.225418\pi\) | ||||
0.759552 | + | 0.650447i | \(0.225418\pi\) | |||||||
\(432\) | 27.9798 | − | 411.858i | 0.0647680 | − | 0.953375i | ||||
\(433\) | − | 366.488i | − | 0.846392i | −0.906038 | − | 0.423196i | \(-0.860908\pi\) | ||
0.906038 | − | 0.423196i | \(-0.139092\pi\) | |||||||
\(434\) | −345.867 | + | 274.164i | −0.796929 | + | 0.631715i | ||||
\(435\) | −139.660 | + | 337.170i | −0.321058 | + | 0.775103i | ||||
\(436\) | 289.435 | + | 207.929i | 0.663843 | + | 0.476900i | ||||
\(437\) | 7.95524 | + | 19.2057i | 0.0182042 | + | 0.0439489i | ||||
\(438\) | −17.0277 | − | 59.7629i | −0.0388761 | − | 0.136445i | ||||
\(439\) | 124.489 | − | 124.489i | 0.283573 | − | 0.283573i | −0.550959 | − | 0.834532i | \(-0.685738\pi\) |
0.834532 | + | 0.550959i | \(0.185738\pi\) | |||||||
\(440\) | 505.633 | − | 238.042i | 1.14917 | − | 0.541005i | ||||
\(441\) | −77.5759 | + | 77.5759i | −0.175909 | + | 0.175909i | ||||
\(442\) | −12.7215 | + | 22.8593i | −0.0287818 | + | 0.0517178i | ||||
\(443\) | 147.480 | + | 356.047i | 0.332911 | + | 0.803718i | 0.998359 | + | 0.0572735i | \(0.0182407\pi\) |
−0.665448 | + | 0.746445i | \(0.731759\pi\) | |||||||
\(444\) | 263.237 | + | 61.7088i | 0.592876 | + | 0.138984i | ||||
\(445\) | −14.5322 | + | 35.0839i | −0.0326567 | + | 0.0788402i | ||||
\(446\) | 98.3673 | − | 850.604i | 0.220554 | − | 1.90718i | ||||
\(447\) | 185.186i | 0.414286i | ||||||||
\(448\) | 33.6171 | + | 354.290i | 0.0750381 | + | 0.790826i | ||||
\(449\) | −689.326 | −1.53525 | −0.767623 | − | 0.640901i | \(-0.778561\pi\) | ||||
−0.767623 | + | 0.640901i | \(0.778561\pi\) | |||||||
\(450\) | −53.5885 | − | 6.19718i | −0.119085 | − | 0.0137715i | ||||
\(451\) | −784.465 | − | 324.936i | −1.73939 | − | 0.720479i | ||||
\(452\) | −9.05244 | + | 38.6158i | −0.0200275 | + | 0.0854332i | ||||
\(453\) | 355.788 | − | 147.372i | 0.785403 | − | 0.325325i | ||||
\(454\) | 212.228 | + | 118.108i | 0.467462 | + | 0.260150i | ||||
\(455\) | 8.77817 | + | 8.77817i | 0.0192927 | + | 0.0192927i | ||||
\(456\) | 234.805 | − | 110.542i | 0.514922 | − | 0.242416i | ||||
\(457\) | 86.4503 | + | 86.4503i | 0.189169 | + | 0.189169i | 0.795337 | − | 0.606168i | \(-0.207294\pi\) |
−0.606168 | + | 0.795337i | \(0.707294\pi\) | |||||||
\(458\) | −266.556 | + | 75.9475i | −0.582000 | + | 0.165824i | ||||
\(459\) | −633.181 | + | 262.272i | −1.37948 | + | 0.571399i | ||||
\(460\) | 11.6094 | − | 16.1603i | 0.0252379 | − | 0.0351310i | ||||
\(461\) | −3.31579 | − | 1.37344i | −0.00719259 | − | 0.00297927i | 0.379084 | − | 0.925362i | \(-0.376239\pi\) |
−0.386277 | + | 0.922383i | \(0.626239\pi\) | |||||||
\(462\) | 182.265 | + | 229.934i | 0.394513 | + | 0.497692i | ||||
\(463\) | 113.007 | 0.244075 | 0.122038 | − | 0.992525i | \(-0.461057\pi\) | ||||
0.122038 | + | 0.992525i | \(0.461057\pi\) | |||||||
\(464\) | −566.707 | + | 494.606i | −1.22135 | + | 1.06596i | ||||
\(465\) | − | 308.072i | − | 0.662521i | ||||||
\(466\) | 159.192 | + | 200.826i | 0.341613 | + | 0.430956i | ||||
\(467\) | −150.402 | + | 363.102i | −0.322059 | + | 0.777520i | 0.677075 | + | 0.735914i | \(0.263247\pi\) |
−0.999134 | + | 0.0416055i | \(0.986753\pi\) | |||||||
\(468\) | −1.93295 | − | 11.7951i | −0.00413024 | − | 0.0252032i | ||||
\(469\) | 60.1753 | + | 145.276i | 0.128306 | + | 0.309757i | ||||
\(470\) | −542.204 | + | 154.485i | −1.15363 | + | 0.328692i | ||||
\(471\) | 99.9053 | − | 99.9053i | 0.212113 | − | 0.212113i | ||||
\(472\) | 5.24464 | + | 110.795i | 0.0111115 | + | 0.234734i | ||||
\(473\) | 168.522 | − | 168.522i | 0.356282 | − | 0.356282i | ||||
\(474\) | 431.362 | + | 240.060i | 0.910047 | + | 0.506455i | ||||
\(475\) | −32.2275 | − | 77.8040i | −0.0678473 | − | 0.163798i | ||||
\(476\) | 502.115 | − | 311.407i | 1.05486 | − | 0.654215i | ||||
\(477\) | 69.7759 | − | 168.454i | 0.146281 | − | 0.353153i | ||||
\(478\) | −563.793 | − | 65.1993i | −1.17948 | − | 0.136400i | ||||
\(479\) | − | 205.624i | − | 0.429278i | −0.976693 | − | 0.214639i | \(-0.931142\pi\) | ||
0.976693 | − | 0.214639i | \(-0.0688575\pi\) | |||||||
\(480\) | −208.377 | − | 135.234i | −0.434118 | − | 0.281737i | ||||
\(481\) | 19.4390 | 0.0404136 | ||||||||
\(482\) | 71.1059 | − | 614.869i | 0.147523 | − | 1.27566i | ||||
\(483\) | 9.65155 | + | 3.99780i | 0.0199825 | + | 0.00827702i | ||||
\(484\) | 395.740 | − | 245.434i | 0.817646 | − | 0.507096i | ||||
\(485\) | 280.302 | − | 116.105i | 0.577942 | − | 0.239391i | ||||
\(486\) | 243.215 | − | 437.032i | 0.500443 | − | 0.899244i | ||||
\(487\) | 573.249 | + | 573.249i | 1.17710 | + | 1.17710i | 0.980479 | + | 0.196623i | \(0.0629975\pi\) |
0.196623 | + | 0.980479i | \(0.437002\pi\) | |||||||
\(488\) | −198.911 | + | 218.678i | −0.407605 | + | 0.448112i | ||||
\(489\) | −252.477 | − | 252.477i | −0.516313 | − | 0.516313i | ||||
\(490\) | 44.9206 | + | 157.660i | 0.0916747 | + | 0.321754i | ||||
\(491\) | 421.115 | − | 174.432i | 0.857669 | − | 0.355258i | 0.0898735 | − | 0.995953i | \(-0.471354\pi\) |
0.767795 | + | 0.640695i | \(0.221354\pi\) | |||||||
\(492\) | 61.0368 | + | 372.453i | 0.124059 | + | 0.757019i | ||||
\(493\) | 1153.74 | + | 477.897i | 2.34025 | + | 0.969364i | ||||
\(494\) | 14.6222 | − | 11.5908i | 0.0295996 | − | 0.0234632i | ||||
\(495\) | 423.914 | 0.856392 | ||||||||
\(496\) | 282.192 | − | 568.810i | 0.568936 | − | 1.14679i | ||||
\(497\) | 139.867i | 0.281423i | ||||||||
\(498\) | 77.0665 | − | 61.0896i | 0.154752 | − | 0.122670i | ||||
\(499\) | 115.301 | − | 278.361i | 0.231064 | − | 0.557837i | −0.765239 | − | 0.643746i | \(-0.777379\pi\) |
0.996303 | + | 0.0859086i | \(0.0273793\pi\) | |||||||
\(500\) | −311.552 | + | 433.678i | −0.623103 | + | 0.867356i | ||||
\(501\) | 71.1147 | + | 171.686i | 0.141946 | + | 0.342687i | ||||
\(502\) | 48.5976 | + | 170.565i | 0.0968080 | + | 0.339771i | ||||
\(503\) | 526.474 | − | 526.474i | 1.04667 | − | 1.04667i | 0.0478110 | − | 0.998856i | \(-0.484775\pi\) |
0.998856 | − | 0.0478110i | \(-0.0152245\pi\) | |||||||
\(504\) | −91.3959 | + | 254.003i | −0.181341 | + | 0.503975i | ||||
\(505\) | 81.0930 | − | 81.0930i | 0.160580 | − | 0.160580i | ||||
\(506\) | 16.4425 | − | 29.5454i | 0.0324950 | − | 0.0583902i | ||||
\(507\) | −110.578 | − | 266.958i | −0.218102 | − | 0.526545i | ||||
\(508\) | −54.2373 | + | 231.365i | −0.106766 | + | 0.455443i | ||||
\(509\) | −98.1719 | + | 237.008i | −0.192872 | + | 0.465634i | −0.990500 | − | 0.137516i | \(-0.956088\pi\) |
0.797628 | + | 0.603150i | \(0.206088\pi\) | |||||||
\(510\) | −47.3782 | + | 409.690i | −0.0928984 | + | 0.803314i | ||||
\(511\) | 100.905i | 0.197465i | ||||||||
\(512\) | −260.864 | − | 440.561i | −0.509499 | − | 0.860471i | ||||
\(513\) | 488.821 | 0.952867 | ||||||||
\(514\) | −383.582 | − | 44.3589i | −0.746268 | − | 0.0863014i | ||||
\(515\) | −92.0858 | − | 38.1432i | −0.178807 | − | 0.0740644i | ||||
\(516\) | −103.139 | − | 24.1781i | −0.199882 | − | 0.0468569i | ||||
\(517\) | −885.103 | + | 366.622i | −1.71200 | + | 0.709133i | ||||
\(518\) | −383.624 | − | 213.493i | −0.740588 | − | 0.412149i | ||||
\(519\) | 60.2895 | + | 60.2895i | 0.116165 | + | 0.116165i | ||||
\(520\) | −16.8053 | − | 6.04691i | −0.0323179 | − | 0.0116287i | ||||
\(521\) | −42.3980 | − | 42.3980i | −0.0813781 | − | 0.0813781i | 0.665246 | − | 0.746624i | \(-0.268327\pi\) |
−0.746624 | + | 0.665246i | \(0.768327\pi\) | |||||||
\(522\) | −548.721 | + | 156.342i | −1.05119 | + | 0.299506i | ||||
\(523\) | 160.929 | − | 66.6589i | 0.307703 | − | 0.127455i | −0.223488 | − | 0.974707i | \(-0.571744\pi\) |
0.531192 | + | 0.847252i | \(0.321744\pi\) | |||||||
\(524\) | −620.362 | − | 445.664i | −1.18390 | − | 0.850504i | ||||
\(525\) | −39.0993 | − | 16.1955i | −0.0744749 | − | 0.0308485i | ||||
\(526\) | 25.4413 | + | 32.0950i | 0.0483674 | + | 0.0610171i | ||||
\(527\) | −1054.18 | −2.00034 | ||||||||
\(528\) | −378.147 | − | 187.602i | −0.716187 | − | 0.355307i | ||||
\(529\) | 527.796i | 0.997724i | ||||||||
\(530\) | −169.247 | − | 213.511i | −0.319334 | − | 0.402850i | ||||
\(531\) | −32.1971 | + | 77.7306i | −0.0606348 | + | 0.146385i | ||||
\(532\) | −415.865 | + | 68.1511i | −0.781702 | + | 0.128103i | ||||
\(533\) | 10.3843 | + | 25.0698i | 0.0194827 | + | 0.0470353i | ||||
\(534\) | 27.5854 | − | 7.85966i | 0.0516580 | − | 0.0147185i | ||||
\(535\) | 371.497 | − | 371.497i | 0.694386 | − | 0.694386i | ||||
\(536\) | −167.351 | − | 152.224i | −0.312222 | − | 0.283999i | ||||
\(537\) | −93.2687 | + | 93.2687i | −0.173685 | + | 0.173685i | ||||
\(538\) | 238.248 | + | 132.589i | 0.442841 | + | 0.246448i | ||||
\(539\) | 106.605 | + | 257.366i | 0.197782 | + | 0.477488i | ||||
\(540\) | −246.606 | − | 397.630i | −0.456678 | − | 0.736352i | ||||
\(541\) | −29.6178 | + | 71.5038i | −0.0547465 | + | 0.132170i | −0.948886 | − | 0.315618i | \(-0.897788\pi\) |
0.894140 | + | 0.447788i | \(0.147788\pi\) | |||||||
\(542\) | 974.803 | + | 112.730i | 1.79853 | + | 0.207989i | ||||
\(543\) | 209.121i | 0.385121i | ||||||||
\(544\) | −462.750 | + | 713.034i | −0.850644 | + | 1.31072i | ||||
\(545\) | 403.937 | 0.741169 | ||||||||
\(546\) | 1.07719 | − | 9.31472i | 0.00197288 | − | 0.0170599i | ||||
\(547\) | 157.659 | + | 65.3046i | 0.288225 | + | 0.119387i | 0.522112 | − | 0.852877i | \(-0.325144\pi\) |
−0.233886 | + | 0.972264i | \(0.575144\pi\) | |||||||
\(548\) | −413.561 | − | 666.830i | −0.754674 | − | 1.21684i | ||||
\(549\) | −207.161 | + | 85.8089i | −0.377342 | + | 0.156300i | ||||
\(550\) | −66.6101 | + | 119.691i | −0.121109 | + | 0.217621i | ||||
\(551\) | −629.819 | − | 629.819i | −1.14305 | − | 1.14305i | ||||
\(552\) | −15.0128 | + | 0.710653i | −0.0271970 | + | 0.00128741i | ||||
\(553\) | −566.819 | − | 566.819i | −1.02499 | − | 1.02499i | ||||
\(554\) | 263.026 | + | 923.151i | 0.474775 | + | 1.66634i | ||||
\(555\) | 283.125 | − | 117.274i | 0.510136 | − | 0.211305i | ||||
\(556\) | −272.446 | + | 44.6479i | −0.490011 | + | 0.0803019i | ||||
\(557\) | −890.709 | − | 368.944i | −1.59912 | − | 0.662376i | −0.607827 | − | 0.794069i | \(-0.707959\pi\) |
−0.991291 | + | 0.131693i | \(0.957959\pi\) | |||||||
\(558\) | 377.438 | − | 299.190i | 0.676413 | − | 0.536183i | ||||
\(559\) | −7.61638 | −0.0136250 | ||||||||
\(560\) | 265.238 | + | 303.903i | 0.473639 | + | 0.542684i | ||||
\(561\) | 700.821i | 1.24923i | ||||||||
\(562\) | 364.559 | − | 288.981i | 0.648681 | − | 0.514201i | ||||
\(563\) | 106.191 | − | 256.369i | 0.188617 | − | 0.455362i | −0.801077 | − | 0.598562i | \(-0.795739\pi\) |
0.989694 | + | 0.143200i | \(0.0457392\pi\) | |||||||
\(564\) | 345.847 | + | 248.455i | 0.613205 | + | 0.440522i | ||||
\(565\) | 17.2037 | + | 41.5333i | 0.0304490 | + | 0.0735103i | ||||
\(566\) | 141.265 | + | 495.804i | 0.249585 | + | 0.875979i | ||||
\(567\) | −41.0398 | + | 41.0398i | −0.0723806 | + | 0.0723806i | ||||
\(568\) | −85.7094 | − | 182.058i | −0.150897 | − | 0.320525i | ||||
\(569\) | −351.714 | + | 351.714i | −0.618126 | + | 0.618126i | −0.945050 | − | 0.326925i | \(-0.893988\pi\) |
0.326925 | + | 0.945050i | \(0.393988\pi\) | |||||||
\(570\) | 143.043 | − | 257.033i | 0.250953 | − | 0.450936i | ||||
\(571\) | 179.708 | + | 433.854i | 0.314725 | + | 0.759814i | 0.999517 | + | 0.0310755i | \(0.00989322\pi\) |
−0.684792 | + | 0.728739i | \(0.740107\pi\) | |||||||
\(572\) | −29.5484 | − | 6.92683i | −0.0516580 | − | 0.0121098i | ||||
\(573\) | 148.987 | − | 359.688i | 0.260013 | − | 0.627727i | ||||
\(574\) | 70.4037 | − | 608.796i | 0.122654 | − | 1.06062i | ||||
\(575\) | 4.87703i | 0.00848179i | ||||||||
\(576\) | −36.6857 | − | 386.630i | −0.0636904 | − | 0.671233i | ||||
\(577\) | 662.602 | 1.14836 | 0.574179 | − | 0.818730i | \(-0.305321\pi\) | ||||
0.574179 | + | 0.818730i | \(0.305321\pi\) | |||||||
\(578\) | 827.725 | + | 95.7214i | 1.43205 | + | 0.165608i | ||||
\(579\) | −73.4898 | − | 30.4405i | −0.126925 | − | 0.0525742i | ||||
\(580\) | −194.586 | + | 830.064i | −0.335493 | + | 1.43114i | ||||
\(581\) | −147.532 | + | 61.1096i | −0.253927 | + | 0.105180i | ||||
\(582\) | −200.243 | − | 111.439i | −0.344061 | − | 0.191475i | ||||
\(583\) | −327.375 | − | 327.375i | −0.561535 | − | 0.561535i | ||||
\(584\) | −61.8335 | − | 131.342i | −0.105879 | − | 0.224901i | ||||
\(585\) | −9.57946 | − | 9.57946i | −0.0163751 | − | 0.0163751i | ||||
\(586\) | 126.068 | − | 35.9195i | 0.215133 | − | 0.0612961i | ||||
\(587\) | 650.448 | − | 269.424i | 1.10809 | − | 0.458985i | 0.247809 | − | 0.968809i | \(-0.420289\pi\) |
0.860279 | + | 0.509824i | \(0.170289\pi\) | |||||||
\(588\) | 72.2445 | − | 100.564i | 0.122865 | − | 0.171027i | ||||
\(589\) | 694.650 | + | 287.733i | 1.17937 | + | 0.488512i | ||||
\(590\) | 78.0965 | + | 98.5213i | 0.132367 | + | 0.166985i | ||||
\(591\) | −345.625 | −0.584814 | ||||||||
\(592\) | 630.172 | + | 42.8111i | 1.06448 | + | 0.0723160i | ||||
\(593\) | 430.692i | 0.726293i | 0.931732 | + | 0.363147i | \(0.118298\pi\) | ||||
−0.931732 | + | 0.363147i | \(0.881702\pi\) | |||||||
\(594\) | −493.902 | − | 623.074i | −0.831485 | − | 1.04895i | ||||
\(595\) | 256.277 | − | 618.708i | 0.430718 | − | 1.03985i | ||||
\(596\) | 69.9630 | + | 426.922i | 0.117388 | + | 0.716312i | ||||
\(597\) | 50.5082 | + | 121.938i | 0.0846033 | + | 0.204250i | ||||
\(598\) | −1.03922 | + | 0.296095i | −0.00173782 | + | 0.000495143i | ||||
\(599\) | −16.0528 | + | 16.0528i | −0.0267993 | + | 0.0267993i | −0.720379 | − | 0.693580i | \(-0.756032\pi\) |
0.693580 | + | 0.720379i | \(0.256032\pi\) | |||||||
\(600\) | 60.8181 | − | 2.87892i | 0.101364 | − | 0.00479820i | ||||
\(601\) | 201.233 | − | 201.233i | 0.334831 | − | 0.334831i | −0.519587 | − | 0.854418i | \(-0.673914\pi\) |
0.854418 | + | 0.519587i | \(0.173914\pi\) | |||||||
\(602\) | 150.308 | + | 83.6487i | 0.249681 | + | 0.138951i | ||||
\(603\) | −65.6682 | − | 158.537i | −0.108902 | − | 0.262914i | ||||
\(604\) | 764.544 | − | 474.163i | 1.26580 | − | 0.785038i | ||||
\(605\) | 201.984 | − | 487.633i | 0.333858 | − | 0.806005i | ||||
\(606\) | −86.0496 | − | 9.95112i | −0.141996 | − | 0.0164210i | ||||
\(607\) | 713.329i | 1.17517i | 0.809162 | + | 0.587586i | \(0.199921\pi\) | ||||
−0.809162 | + | 0.587586i | \(0.800079\pi\) | |||||||
\(608\) | 499.549 | − | 343.548i | 0.821626 | − | 0.565046i | ||||
\(609\) | −447.609 | −0.734990 | ||||||||
\(610\) | −38.4910 | + | 332.840i | −0.0630999 | + | 0.545639i | ||||
\(611\) | 28.2860 | + | 11.7164i | 0.0462946 | + | 0.0191759i | ||||
\(612\) | −547.949 | + | 339.832i | −0.895341 | + | 0.555281i | ||||
\(613\) | −349.658 | + | 144.833i | −0.570404 | + | 0.236269i | −0.649195 | − | 0.760622i | \(-0.724894\pi\) |
0.0787907 | + | 0.996891i | \(0.474894\pi\) | |||||||
\(614\) | −422.301 | + | 758.830i | −0.687786 | + | 1.23588i | ||||
\(615\) | 302.490 | + | 302.490i | 0.491854 | + | 0.491854i | ||||
\(616\) | 507.057 | + | 461.222i | 0.823144 | + | 0.748737i | ||||
\(617\) | 185.331 | + | 185.331i | 0.300374 | + | 0.300374i | 0.841160 | − | 0.540786i | \(-0.181873\pi\) |
−0.540786 | + | 0.841160i | \(0.681873\pi\) | |||||||
\(618\) | 20.6295 | + | 72.4042i | 0.0333811 | + | 0.117159i | ||||
\(619\) | −740.280 | + | 306.634i | −1.19593 | + | 0.495370i | −0.889681 | − | 0.456582i | \(-0.849074\pi\) |
−0.306248 | + | 0.951952i | \(0.599074\pi\) | |||||||
\(620\) | −116.389 | − | 710.220i | −0.187725 | − | 1.14552i | ||||
\(621\) | −26.1538 | − | 10.8332i | −0.0421156 | − | 0.0174448i | ||||
\(622\) | 579.930 | − | 459.703i | 0.932364 | − | 0.739072i | ||||
\(623\) | −46.5755 | −0.0747601 | ||||||||
\(624\) | 4.30586 | + | 12.7846i | 0.00690041 | + | 0.0204881i | ||||
\(625\) | 494.120i | 0.790591i | ||||||||
\(626\) | 668.774 | − | 530.128i | 1.06833 | − | 0.846850i | ||||
\(627\) | 191.286 | − | 461.805i | 0.305081 | − | 0.736532i | ||||
\(628\) | 192.574 | − | 268.063i | 0.306647 | − | 0.426851i | ||||
\(629\) | −401.295 | − | 968.812i | −0.637989 | − | 1.54024i | ||||
\(630\) | 83.8403 | + | 294.258i | 0.133080 | + | 0.467076i | ||||
\(631\) | 25.0415 | − | 25.0415i | 0.0396854 | − | 0.0396854i | −0.686986 | − | 0.726671i | \(-0.741066\pi\) |
0.726671 | + | 0.686986i | \(0.241066\pi\) | |||||||
\(632\) | 1085.14 | + | 390.458i | 1.71700 | + | 0.617813i | ||||
\(633\) | 110.919 | − | 110.919i | 0.175227 | − | 0.175227i | ||||
\(634\) | −29.1023 | + | 52.2937i | −0.0459026 | + | 0.0824822i | ||||
\(635\) | 103.075 | + | 248.845i | 0.162323 | + | 0.391882i | ||||
\(636\) | −46.9691 | + | 200.360i | −0.0738508 | + | 0.315032i | ||||
\(637\) | 3.40686 | − | 8.22488i | 0.00534828 | − | 0.0129119i | ||||
\(638\) | −166.431 | + | 1439.16i | −0.260863 | + | 2.25574i | ||||
\(639\) | − | 152.634i | − | 0.238864i | ||||||
\(640\) | −531.476 | − | 233.039i | −0.830432 | − | 0.364124i | ||||
\(641\) | −150.813 | −0.235278 | −0.117639 | − | 0.993056i | \(-0.537533\pi\) | ||||
−0.117639 | + | 0.993056i | \(0.537533\pi\) | |||||||
\(642\) | −394.204 | − | 45.5873i | −0.614024 | − | 0.0710082i | ||||
\(643\) | −635.355 | − | 263.173i | −0.988110 | − | 0.409289i | −0.170686 | − | 0.985325i | \(-0.554598\pi\) |
−0.817424 | + | 0.576037i | \(0.804598\pi\) | |||||||
\(644\) | 23.7607 | + | 5.57007i | 0.0368955 | + | 0.00864917i | ||||
\(645\) | −110.931 | + | 45.9492i | −0.171987 | + | 0.0712391i | ||||
\(646\) | −879.530 | − | 489.472i | −1.36150 | − | 0.757696i | ||||
\(647\) | −460.454 | − | 460.454i | −0.711675 | − | 0.711675i | 0.255211 | − | 0.966885i | \(-0.417855\pi\) |
−0.966885 | + | 0.255211i | \(0.917855\pi\) | |||||||
\(648\) | 28.2706 | − | 78.5683i | 0.0436275 | − | 0.121247i | ||||
\(649\) | 151.062 | + | 151.062i | 0.232762 | + | 0.232762i | ||||
\(650\) | 4.20997 | − | 1.19951i | 0.00647688 | − | 0.00184540i | ||||
\(651\) | 349.087 | − | 144.597i | 0.536232 | − | 0.222115i | ||||
\(652\) | −677.438 | − | 486.667i | −1.03902 | − | 0.746422i | ||||
\(653\) | 308.661 | + | 127.852i | 0.472682 | + | 0.195791i | 0.606291 | − | 0.795243i | \(-0.292657\pi\) |
−0.133609 | + | 0.991034i | \(0.542657\pi\) | |||||||
\(654\) | −189.529 | − | 239.097i | −0.289800 | − | 0.365592i | ||||
\(655\) | −865.779 | −1.32180 | ||||||||
\(656\) | 281.425 | + | 835.583i | 0.429001 | + | 1.27375i | ||||
\(657\) | − | 110.115i | − | 0.167603i | ||||||
\(658\) | −429.541 | − | 541.880i | −0.652798 | − | 0.823526i | ||||
\(659\) | −187.311 | + | 452.209i | −0.284235 | + | 0.686205i | −0.999925 | − | 0.0122131i | \(-0.996112\pi\) |
0.715690 | + | 0.698418i | \(0.246112\pi\) | |||||||
\(660\) | −472.157 | + | 77.3760i | −0.715389 | + | 0.117236i | ||||
\(661\) | −279.659 | − | 675.156i | −0.423084 | − | 1.02142i | −0.981432 | − | 0.191809i | \(-0.938564\pi\) |
0.558348 | − | 0.829607i | \(-0.311436\pi\) | |||||||
\(662\) | 244.279 | − | 69.6002i | 0.369001 | − | 0.105136i | ||||
\(663\) | 15.8369 | − | 15.8369i | 0.0238867 | − | 0.0238867i | ||||
\(664\) | 154.587 | − | 169.950i | 0.232812 | − | 0.255948i | ||||
\(665\) | −337.747 | + | 337.747i | −0.507891 | + | 0.507891i | ||||
\(666\) | 418.642 | + | 232.981i | 0.628592 | + | 0.349821i | ||||
\(667\) | 19.7397 | + | 47.6558i | 0.0295947 | + | 0.0714479i | ||||
\(668\) | 228.808 | + | 368.933i | 0.342527 | + | 0.552294i | ||||
\(669\) | −280.535 | + | 677.271i | −0.419335 | + | 1.01236i | ||||
\(670\) | −254.717 | − | 29.4565i | −0.380175 | − | 0.0439649i | ||||
\(671\) | 569.360i | 0.848525i | ||||||||
\(672\) | 55.4345 | − | 299.592i | 0.0824918 | − | 0.445821i | ||||
\(673\) | 74.6107 | 0.110863 | 0.0554314 | − | 0.998462i | \(-0.482347\pi\) | ||||
0.0554314 | + | 0.998462i | \(0.482347\pi\) | |||||||
\(674\) | 34.0787 | − | 294.686i | 0.0505619 | − | 0.437220i | ||||
\(675\) | 105.951 | + | 43.8865i | 0.156965 | + | 0.0650170i | ||||
\(676\) | −355.779 | − | 573.661i | −0.526300 | − | 0.848611i | ||||
\(677\) | −250.770 | + | 103.872i | −0.370413 | + | 0.153430i | −0.560122 | − | 0.828410i | \(-0.689246\pi\) |
0.189709 | + | 0.981840i | \(0.439246\pi\) | |||||||
\(678\) | 16.5123 | − | 29.6708i | 0.0243544 | − | 0.0437622i | ||||
\(679\) | 263.124 | + | 263.124i | 0.387517 | + | 0.387517i | ||||
\(680\) | 45.5560 | + | 962.386i | 0.0669942 | + | 1.41527i | ||||
\(681\) | −147.031 | − | 147.031i | −0.215905 | − | 0.215905i | ||||
\(682\) | −335.112 | − | 1176.16i | −0.491367 | − | 1.72457i | ||||
\(683\) | 1198.32 | − | 496.359i | 1.75449 | − | 0.726734i | 0.757200 | − | 0.653183i | \(-0.226567\pi\) |
0.997291 | − | 0.0735510i | \(-0.0234332\pi\) | |||||||
\(684\) | 453.826 | − | 74.3720i | 0.663489 | − | 0.108731i | ||||
\(685\) | −821.671 | − | 340.347i | −1.19952 | − | 0.496857i | ||||
\(686\) | −584.614 | + | 463.415i | −0.852207 | + | 0.675533i | ||||
\(687\) | 237.286 | 0.345395 | ||||||||
\(688\) | −246.907 | − | 16.7738i | −0.358877 | − | 0.0243805i | ||||
\(689\) | 14.7958i | 0.0214743i | ||||||||
\(690\) | −13.3497 | + | 10.5821i | −0.0193474 | + | 0.0153364i | ||||
\(691\) | −337.819 | + | 815.567i | −0.488884 | + | 1.18027i | 0.466398 | + | 0.884575i | \(0.345551\pi\) |
−0.955282 | + | 0.295696i | \(0.904449\pi\) | |||||||
\(692\) | 161.767 | + | 116.212i | 0.233767 | + | 0.167937i | ||||
\(693\) | 198.968 | + | 480.351i | 0.287111 | + | 0.693147i | ||||
\(694\) | 308.792 | + | 1083.78i | 0.444945 | + | 1.56164i | ||||
\(695\) | −221.269 | + | 221.269i | −0.318372 | + | 0.318372i | ||||
\(696\) | 582.630 | − | 274.291i | 0.837112 | − | 0.394097i | ||||
\(697\) | 1035.08 | − | 1035.08i | 1.48504 | − | 1.48504i | ||||
\(698\) | 236.101 | − | 424.250i | 0.338254 | − | 0.607807i | ||||
\(699\) | −83.9591 | − | 202.695i | −0.120113 | − | 0.289979i | ||||
\(700\) | −96.2570 | − | 22.5649i | −0.137510 | − | 0.0322355i | ||||
\(701\) | 487.432 | − | 1176.77i | 0.695338 | − | 1.67870i | −0.0383989 | − | 0.999262i | \(-0.512226\pi\) |
0.733737 | − | 0.679433i | \(-0.237774\pi\) | |||||||
\(702\) | −2.91897 | + | 25.2410i | −0.00415808 | + | 0.0359559i | ||||
\(703\) | 747.930i | 1.06391i | ||||||||
\(704\) | −942.644 | − | 289.629i | −1.33898 | − | 0.411405i | ||||
\(705\) | 482.666 | 0.684632 | ||||||||
\(706\) | −900.467 | − | 104.134i | −1.27545 | − | 0.147498i | ||||
\(707\) | 129.951 | + | 53.8274i | 0.183806 | + | 0.0761349i | ||||
\(708\) | 21.6732 | − | 92.4534i | 0.0306119 | − | 0.130584i | ||||
\(709\) | 949.384 | − | 393.248i | 1.33905 | − | 0.554651i | 0.405824 | − | 0.913951i | \(-0.366985\pi\) |
0.933222 | + | 0.359300i | \(0.116985\pi\) | |||||||
\(710\) | −199.293 | − | 110.910i | −0.280695 | − | 0.156211i | ||||
\(711\) | 618.559 | + | 618.559i | 0.869985 | + | 0.869985i | ||||
\(712\) | 60.6250 | − | 28.5411i | 0.0851475 | − | 0.0400858i | ||||
\(713\) | −30.7896 | − | 30.7896i | −0.0431832 | − | 0.0431832i | ||||
\(714\) | −486.471 | + | 138.606i | −0.681332 | + | 0.194126i | ||||
\(715\) | −31.7809 | + | 13.1641i | −0.0444487 | + | 0.0184113i | ||||
\(716\) | −179.782 | + | 250.255i | −0.251092 | + | 0.349519i | ||||
\(717\) | 448.906 | + | 185.943i | 0.626089 | + | 0.259335i | ||||
\(718\) | −308.981 | − | 389.790i | −0.430336 | − | 0.542882i | ||||
\(719\) | 349.072 | 0.485496 | 0.242748 | − | 0.970089i | \(-0.421951\pi\) | ||||
0.242748 | + | 0.970089i | \(0.421951\pi\) | |||||||
\(720\) | −289.449 | − | 331.644i | −0.402013 | − | 0.460616i | ||||
\(721\) | − | 122.248i | − | 0.169554i | ||||||
\(722\) | −2.53594 | − | 3.19917i | −0.00351239 | − | 0.00443099i | ||||
\(723\) | −202.788 | + | 489.573i | −0.280481 | + | 0.677141i | ||||
\(724\) | 79.0054 | + | 482.100i | 0.109123 | + | 0.665884i | ||||
\(725\) | −79.9673 | − | 193.058i | −0.110300 | − | 0.266287i | ||||
\(726\) | −383.411 | + | 109.242i | −0.528114 | + | 0.150471i | ||||
\(727\) | −256.931 | + | 256.931i | −0.353413 | + | 0.353413i | −0.861378 | − | 0.507965i | \(-0.830398\pi\) |
0.507965 | + | 0.861378i | \(0.330398\pi\) | |||||||
\(728\) | −1.03576 | − | 21.8808i | −0.00142275 | − | 0.0300561i | ||||
\(729\) | −236.352 | + | 236.352i | −0.324214 | + | 0.324214i | ||||
\(730\) | −143.776 | − | 80.0138i | −0.196954 | − | 0.109608i | ||||
\(731\) | 157.231 | + | 379.590i | 0.215091 | + | 0.519275i | ||||
\(732\) | 215.074 | − | 133.387i | 0.293817 | − | 0.182222i | ||||
\(733\) | 473.293 | − | 1142.63i | 0.645694 | − | 1.55884i | −0.173194 | − | 0.984888i | \(-0.555409\pi\) |
0.818887 | − | 0.573955i | \(-0.194591\pi\) | |||||||
\(734\) | −228.862 | − | 26.4665i | −0.311801 | − | 0.0360579i | ||||
\(735\) | − | 140.347i | − | 0.190949i | ||||||
\(736\) | −34.3414 | + | 7.31011i | −0.0466596 | + | 0.00993222i | ||||
\(737\) | −435.722 | −0.591211 | ||||||||
\(738\) | −76.8302 | + | 664.368i | −0.104106 | + | 0.900228i | ||||
\(739\) | −137.009 | − | 56.7511i | −0.185398 | − | 0.0767945i | 0.288053 | − | 0.957614i | \(-0.406992\pi\) |
−0.473451 | + | 0.880820i | \(0.656992\pi\) | |||||||
\(740\) | 608.402 | − | 377.325i | 0.822165 | − | 0.509898i | ||||
\(741\) | −14.7583 | + | 6.11310i | −0.0199168 | + | 0.00824979i | ||||
\(742\) | 162.498 | − | 291.992i | 0.219000 | − | 0.393521i | ||||
\(743\) | −644.593 | − | 644.593i | −0.867555 | − | 0.867555i | 0.124647 | − | 0.992201i | \(-0.460220\pi\) |
−0.992201 | + | 0.124647i | \(0.960220\pi\) | |||||||
\(744\) | −365.781 | + | 402.132i | −0.491642 | + | 0.540500i | ||||
\(745\) | 346.727 | + | 346.727i | 0.465405 | + | 0.465405i | ||||
\(746\) | 136.328 | + | 478.476i | 0.182746 | + | 0.641389i | ||||
\(747\) | 160.999 | − | 66.6878i | 0.215527 | − | 0.0892742i | ||||
\(748\) | 264.769 | + | 1615.65i | 0.353969 | + | 2.15996i | ||||
\(749\) | 595.321 | + | 246.590i | 0.794821 | + | 0.329225i | ||||
\(750\) | 358.254 | − | 283.983i | 0.477672 | − | 0.378644i | ||||
\(751\) | −18.5402 | −0.0246873 | −0.0123437 | − | 0.999924i | \(-0.503929\pi\) | ||||
−0.0123437 | + | 0.999924i | \(0.503929\pi\) | |||||||
\(752\) | 891.171 | + | 442.119i | 1.18507 | + | 0.587924i | ||||
\(753\) | − | 151.836i | − | 0.201641i | ||||||
\(754\) | 36.2826 | − | 28.7608i | 0.0481202 | − | 0.0381442i | ||||
\(755\) | 390.220 | − | 942.075i | 0.516848 | − | 1.24778i | ||||
\(756\) | 334.821 | − | 466.069i | 0.442885 | − | 0.616493i | ||||
\(757\) | 100.854 | + | 243.482i | 0.133228 | + | 0.321641i | 0.976389 | − | 0.216021i | \(-0.0693079\pi\) |
−0.843161 | + | 0.537661i | \(0.819308\pi\) | |||||||
\(758\) | −379.125 | − | 1330.63i | −0.500165 | − | 1.75545i | ||||
\(759\) | −20.4691 | + | 20.4691i | −0.0269685 | + | 0.0269685i | ||||
\(760\) | 232.660 | − | 646.598i | 0.306132 | − | 0.850787i | ||||
\(761\) | −272.267 | + | 272.267i | −0.357775 | + | 0.357775i | −0.862992 | − | 0.505217i | \(-0.831412\pi\) |
0.505217 | + | 0.862992i | \(0.331412\pi\) | |||||||
\(762\) | 98.9325 | − | 177.771i | 0.129833 | − | 0.233296i | ||||
\(763\) | 189.591 | + | 457.714i | 0.248482 | + | 0.599888i | ||||
\(764\) | 207.582 | − | 885.499i | 0.271704 | − | 1.15903i | ||||
\(765\) | −279.671 | + | 675.185i | −0.365583 | + | 0.882594i | ||||
\(766\) | −50.0238 | + | 432.567i | −0.0653053 | + | 0.564709i | ||||
\(767\) | − | 6.82730i | − | 0.00890130i | ||||||
\(768\) | 111.431 | + | 423.933i | 0.145093 | + | 0.551997i | ||||
\(769\) | −341.927 | −0.444638 | −0.222319 | − | 0.974974i | \(-0.571363\pi\) | ||||
−0.222319 | + | 0.974974i | \(0.571363\pi\) | |||||||
\(770\) | 771.767 | + | 89.2503i | 1.00229 | + | 0.115909i | ||||
\(771\) | 305.417 | + | 126.508i | 0.396131 | + | 0.164083i | ||||
\(772\) | −180.921 | − | 42.4121i | −0.234354 | − | 0.0549380i | ||||
\(773\) | −366.728 | + | 151.904i | −0.474421 | + | 0.196512i | −0.607065 | − | 0.794652i | \(-0.707653\pi\) |
0.132644 | + | 0.991164i | \(0.457653\pi\) | |||||||
\(774\) | −164.028 | − | 91.2843i | −0.211923 | − | 0.117938i | ||||
\(775\) | 124.732 | + | 124.732i | 0.160944 | + | 0.160944i | ||||
\(776\) | −503.736 | − | 181.255i | −0.649144 | − | 0.233576i | ||||
\(777\) | 265.775 | + | 265.775i | 0.342053 | + | 0.342053i | ||||
\(778\) | −941.874 | + | 268.360i | −1.21063 | + | 0.344936i | ||||
\(779\) | −964.582 | + | 399.543i | −1.23823 | + | 0.512892i | ||||
\(780\) | 12.4181 | + | 8.92111i | 0.0159207 | + | 0.0114373i | ||||
\(781\) | −358.065 | − | 148.315i | −0.458470 | − | 0.189904i | ||||
\(782\) | 36.2105 | + | 45.6807i | 0.0463050 | + | 0.0584153i | ||||
\(783\) | 1212.93 | 1.54908 | ||||||||
\(784\) | 128.557 | − | 259.131i | 0.163976 | − | 0.330524i | ||||
\(785\) | − | 374.109i | − | 0.476572i | ||||||
\(786\) | 406.228 | + | 512.470i | 0.516830 | + | 0.651997i | ||||
\(787\) | 167.684 | − | 404.824i | 0.213067 | − | 0.514389i | −0.780825 | − | 0.624750i | \(-0.785201\pi\) |
0.993892 | + | 0.110361i | \(0.0352008\pi\) | |||||||
\(788\) | −796.793 | + | 130.577i | −1.01116 | + | 0.165706i | ||||
\(789\) | −13.4179 | − | 32.3938i | −0.0170063 | − | 0.0410568i | ||||
\(790\) | 1257.11 | − | 358.179i | 1.59128 | − | 0.453391i | ||||
\(791\) | −38.9881 | + | 38.9881i | −0.0492896 | + | 0.0492896i | ||||
\(792\) | −553.342 | − | 503.323i | −0.698664 | − | 0.635509i | ||||
\(793\) | 12.8662 | − | 12.8662i | 0.0162247 | − | 0.0162247i | ||||
\(794\) | 533.138 | + | 296.699i | 0.671458 | + | 0.373677i | ||||
\(795\) | 89.2623 | + | 215.498i | 0.112280 | + | 0.271067i | ||||
\(796\) | 162.508 | + | 262.029i | 0.204155 | + | 0.329182i | ||||
\(797\) | −230.548 | + | 556.591i | −0.289269 | + | 0.698358i | −0.999987 | − | 0.00511971i | \(-0.998370\pi\) |
0.710718 | + | 0.703477i | \(0.248370\pi\) | |||||||
\(798\) | 358.391 | + | 41.4458i | 0.449112 | + | 0.0519371i | ||||
\(799\) | − | 1651.61i | − | 2.06710i | ||||||
\(800\) | 139.120 | − | 29.6140i | 0.173901 | − | 0.0370175i | ||||
\(801\) | 50.8270 | 0.0634545 | ||||||||
\(802\) | −39.9350 | + | 345.327i | −0.0497943 | + | 0.430582i | ||||
\(803\) | −258.320 | − | 106.999i | −0.321693 | − | 0.133250i | ||||
\(804\) | 102.079 | + | 164.593i | 0.126964 | + | 0.204717i | ||||
\(805\) | 25.5559 | − | 10.5856i | 0.0317465 | − | 0.0131498i | ||||
\(806\) | −19.0056 | + | 34.1511i | −0.0235802 | + | 0.0423711i | ||||
\(807\) | −165.058 | − | 165.058i | −0.204533 | − | 0.204533i | ||||
\(808\) | −202.136 | + | 9.56840i | −0.250168 | + | 0.0118421i | ||||
\(809\) | 195.031 | + | 195.031i | 0.241077 | + | 0.241077i | 0.817296 | − | 0.576219i | \(-0.195472\pi\) |
−0.576219 | + | 0.817296i | \(0.695472\pi\) | |||||||
\(810\) | −25.9335 | − | 91.0198i | −0.0320166 | − | 0.112370i | ||||
\(811\) | −889.956 | + | 368.632i | −1.09736 | + | 0.454540i | −0.856566 | − | 0.516037i | \(-0.827407\pi\) |
−0.240791 | + | 0.970577i | \(0.577407\pi\) | |||||||
\(812\) | −1031.90 | + | 169.106i | −1.27082 | + | 0.208259i | ||||
\(813\) | −776.161 | − | 321.496i | −0.954688 | − | 0.395445i | ||||
\(814\) | 953.347 | − | 755.705i | 1.17119 | − | 0.928385i | ||||
\(815\) | −945.435 | −1.16004 | ||||||||
\(816\) | 548.278 | − | 478.522i | 0.671909 | − | 0.586424i | ||||
\(817\) | − | 293.046i | − | 0.358686i | ||||||
\(818\) | −713.863 | + | 565.870i | −0.872693 | + | 0.691772i | ||||
\(819\) | 6.35859 | − | 15.3510i | 0.00776385 | − | 0.0187436i | ||||
\(820\) | 811.631 | + | 583.071i | 0.989794 | + | 0.711062i | ||||
\(821\) | 328.443 | + | 792.932i | 0.400052 | + | 0.965812i | 0.987653 | + | 0.156660i | \(0.0500728\pi\) |
−0.587600 | + | 0.809151i | \(0.699927\pi\) | |||||||
\(822\) | 184.075 | + | 646.054i | 0.223935 | + | 0.785954i | ||||
\(823\) | −319.915 | + | 319.915i | −0.388718 | + | 0.388718i | −0.874230 | − | 0.485512i | \(-0.838633\pi\) |
0.485512 | + | 0.874230i | \(0.338633\pi\) | |||||||
\(824\) | 74.9128 | + | 159.125i | 0.0909136 | + | 0.193112i | ||||
\(825\) | 82.9221 | − | 82.9221i | 0.100512 | − | 0.100512i | ||||
\(826\) | −74.9824 | + | 134.736i | −0.0907777 | + | 0.163118i | ||||
\(827\) | −352.335 | − | 850.612i | −0.426040 | − | 1.02855i | −0.980532 | − | 0.196362i | \(-0.937087\pi\) |
0.554492 | − | 0.832189i | \(-0.312913\pi\) | |||||||
\(828\) | −25.9297 | − | 6.07851i | −0.0313160 | − | 0.00734120i | ||||
\(829\) | −459.660 | + | 1109.72i | −0.554475 | + | 1.33862i | 0.359611 | + | 0.933102i | \(0.382909\pi\) |
−0.914086 | + | 0.405519i | \(0.867091\pi\) | |||||||
\(830\) | 29.9139 | − | 258.672i | 0.0360408 | − | 0.311653i | ||||
\(831\) | − | 821.783i | − | 0.988908i | ||||||
\(832\) | 14.7566 | + | 27.8464i | 0.0177363 | + | 0.0334693i | ||||
\(833\) | −480.248 | −0.576528 | ||||||||
\(834\) | 234.793 | + | 27.1524i | 0.281527 | + | 0.0325569i | ||||
\(835\) | 454.600 | + | 188.302i | 0.544432 | + | 0.225511i | ||||
\(836\) | 266.515 | − | 1136.90i | 0.318798 | − | 1.35993i | ||||
\(837\) | −945.956 | + | 391.828i | −1.13017 | + | 0.468133i | ||||
\(838\) | −26.4638 | − | 14.7275i | −0.0315798 | − | 0.0175746i | ||||
\(839\) | 439.790 | + | 439.790i | 0.524184 | + | 0.524184i | 0.918832 | − | 0.394648i | \(-0.129134\pi\) |
−0.394648 | + | 0.918832i | \(0.629134\pi\) | |||||||
\(840\) | −147.092 | − | 312.442i | −0.175109 | − | 0.371954i | ||||
\(841\) | −968.120 | − | 968.120i | −1.15115 | − | 1.15115i | ||||
\(842\) | 1057.38 | − | 301.269i | 1.25579 | − | 0.357801i | ||||
\(843\) | −367.953 | + | 152.411i | −0.436480 | + | 0.180796i | ||||
\(844\) | 213.804 | − | 297.613i | 0.253322 | − | 0.352623i | ||||
\(845\) | −706.868 | − | 292.794i | −0.836530 | − | 0.346502i | ||||
\(846\) | 468.750 | + | 591.344i | 0.554078 | + | 0.698988i | ||||
\(847\) | 647.356 | 0.764293 | ||||||||
\(848\) | −32.5853 | + | 479.649i | −0.0384260 | + | 0.565624i | ||||
\(849\) | − | 441.361i | − | 0.519860i | ||||||
\(850\) | −146.692 | − | 185.057i | −0.172579 | − | 0.217714i | ||||
\(851\) | 16.5756 | − | 40.0171i | 0.0194778 | − | 0.0470236i | ||||
\(852\) | 27.8600 | + | 170.005i | 0.0326995 | + | 0.199536i | ||||
\(853\) | 639.942 | + | 1544.96i | 0.750225 | + | 1.81120i | 0.557977 | + | 0.829857i | \(0.311578\pi\) |
0.192248 | + | 0.981346i | \(0.438422\pi\) | |||||||
\(854\) | −395.218 | + | 112.606i | −0.462785 | + | 0.131857i | ||||
\(855\) | 368.578 | − | 368.578i | 0.431085 | − | 0.431085i | ||||
\(856\) | −926.007 | + | 43.8340i | −1.08178 | + | 0.0512080i | ||||
\(857\) | −628.373 | + | 628.373i | −0.733224 | + | 0.733224i | −0.971257 | − | 0.238033i | \(-0.923497\pi\) |
0.238033 | + | 0.971257i | \(0.423497\pi\) | |||||||
\(858\) | 22.7038 | + | 12.6350i | 0.0264613 | + | 0.0147261i | ||||
\(859\) | −467.557 | − | 1128.78i | −0.544304 | − | 1.31407i | −0.921660 | − | 0.387998i | \(-0.873167\pi\) |
0.377357 | − | 0.926068i | \(-0.376833\pi\) | |||||||
\(860\) | −238.378 | + | 147.840i | −0.277184 | + | 0.171906i | ||||
\(861\) | −200.785 | + | 484.738i | −0.233200 | + | 0.562994i | ||||
\(862\) | −1300.80 | − | 150.430i | −1.50905 | − | 0.174512i | ||||
\(863\) | − | 709.297i | − | 0.821896i | −0.911659 | − | 0.410948i | \(-0.865198\pi\) | ||
0.911659 | − | 0.410948i | \(-0.134802\pi\) | |||||||
\(864\) | −150.216 | + | 811.834i | −0.173861 | + | 0.939622i | ||||
\(865\) | 225.762 | 0.260997 | ||||||||
\(866\) | −84.2030 | + | 728.123i | −0.0972321 | + | 0.840788i | ||||
\(867\) | −659.054 | − | 272.989i | −0.760155 | − | 0.314866i | ||||
\(868\) | 750.146 | − | 465.233i | 0.864223 | − | 0.535982i | ||||
\(869\) | 2052.14 | − | 850.023i | 2.36149 | − | 0.978162i | ||||
\(870\) | 354.938 | − | 637.787i | 0.407975 | − | 0.733089i | ||||
\(871\) | 9.84629 | + | 9.84629i | 0.0113046 | + | 0.0113046i | ||||
\(872\) | −527.265 | − | 479.604i | −0.604662 | − | 0.550004i | ||||
\(873\) | −287.143 | − | 287.143i | −0.328915 | − | 0.328915i | ||||
\(874\) | −11.3925 | − | 39.9848i | −0.0130349 | − | 0.0457492i | ||||
\(875\) | −685.820 | + | 284.076i | −0.783795 | + | 0.324658i | ||||
\(876\) | 20.0991 | + | 122.647i | 0.0229441 | + | 0.140008i | ||||
\(877\) | 927.972 | + | 384.378i | 1.05812 | + | 0.438288i | 0.842784 | − | 0.538252i | \(-0.180915\pi\) |
0.215337 | + | 0.976540i | \(0.430915\pi\) | |||||||
\(878\) | −275.931 | + | 218.727i | −0.314272 | + | 0.249119i | ||||
\(879\) | −112.225 | −0.127673 | ||||||||
\(880\) | −1059.26 | + | 356.760i | −1.20371 | + | 0.405409i | ||||
\(881\) | − | 660.780i | − | 0.750034i | −0.927018 | − | 0.375017i | \(-0.877637\pi\) | ||
0.927018 | − | 0.375017i | \(-0.122363\pi\) | |||||||
\(882\) | 171.948 | − | 136.301i | 0.194953 | − | 0.154536i | ||||
\(883\) | −476.753 | + | 1150.98i | −0.539924 | + | 1.30349i | 0.384851 | + | 0.922979i | \(0.374253\pi\) |
−0.924775 | + | 0.380514i | \(0.875747\pi\) | |||||||
\(884\) | 30.5267 | − | 42.4930i | 0.0345325 | − | 0.0480690i | ||||
\(885\) | −41.1888 | − | 99.4385i | −0.0465410 | − | 0.112360i | ||||
\(886\) | −211.202 | − | 741.264i | −0.238377 | − | 0.836641i | ||||
\(887\) | 248.725 | − | 248.725i | 0.280411 | − | 0.280411i | −0.552862 | − | 0.833273i | \(-0.686464\pi\) |
0.833273 | + | 0.552862i | \(0.186464\pi\) | |||||||
\(888\) | −508.810 | − | 183.081i | −0.572985 | − | 0.206172i | ||||
\(889\) | −233.595 | + | 233.595i | −0.262762 | + | 0.262762i | ||||
\(890\) | 36.9328 | − | 66.3644i | 0.0414975 | − | 0.0745667i | ||||
\(891\) | −61.5448 | − | 148.582i | −0.0690738 | − | 0.166759i | ||||
\(892\) | −390.864 | + | 1667.34i | −0.438189 | + | 1.86922i | ||||
\(893\) | −450.800 | + | 1088.33i | −0.504815 | + | 1.21873i | ||||
\(894\) | 42.5477 | − | 367.920i | 0.0475926 | − | 0.411544i | ||||
\(895\) | 349.257i | 0.390232i | ||||||||
\(896\) | 14.6115 | − | 711.613i | 0.0163075 | − | 0.794210i | ||||
\(897\) | 0.925104 | 0.00103133 | ||||||||
\(898\) | 1369.52 | + | 158.377i | 1.52508 | + | 0.176367i | ||||
\(899\) | 1723.66 | + | 713.964i | 1.91731 | + | 0.794176i | ||||
\(900\) | 105.043 | + | 24.6246i | 0.116715 | + | 0.0273607i | ||||
\(901\) | 737.403 | − | 305.442i | 0.818427 | − | 0.339004i | ||||
\(902\) | 1483.89 | + | 825.806i | 1.64511 | + | 0.915527i | ||||
\(903\) | −104.133 | − | 104.133i | −0.115319 | − | 0.115319i | ||||
\(904\) | 26.8573 | − | 74.6404i | 0.0297094 | − | 0.0825668i | ||||
\(905\) | 391.540 | + | 391.540i | 0.432641 | + | 0.432641i | ||||
\(906\) | −740.724 | + | 211.048i | −0.817576 | + | 0.232945i | ||||
\(907\) | 301.032 | − | 124.692i | 0.331899 | − | 0.137477i | −0.210510 | − | 0.977592i | \(-0.567512\pi\) |
0.542409 | + | 0.840115i | \(0.317512\pi\) | |||||||
\(908\) | −394.509 | − | 283.413i | −0.434481 | − | 0.312129i | ||||
\(909\) | −141.813 | − | 58.7409i | −0.156010 | − | 0.0646214i | ||||
\(910\) | −15.4233 | − | 19.4570i | −0.0169486 | − | 0.0213813i | ||||
\(911\) | 1283.61 | 1.40901 | 0.704507 | − | 0.709697i | \(-0.251168\pi\) | ||||
0.704507 | + | 0.709697i | \(0.251168\pi\) | |||||||
\(912\) | −491.898 | + | 165.671i | −0.539362 | + | 0.181657i | ||||
\(913\) | − | 442.488i | − | 0.484652i | ||||||
\(914\) | −151.893 | − | 191.618i | −0.166185 | − | 0.209648i | ||||
\(915\) | 109.773 | − | 265.015i | 0.119970 | − | 0.289634i | ||||
\(916\) | 547.032 | − | 89.6463i | 0.597196 | − | 0.0978672i | ||||
\(917\) | −406.361 | − | 981.043i | −0.443142 | − | 1.06984i | ||||
\(918\) | 1318.24 | − | 375.594i | 1.43599 | − | 0.409144i | ||||
\(919\) | 299.609 | − | 299.609i | 0.326017 | − | 0.326017i | −0.525053 | − | 0.851070i | \(-0.675954\pi\) |
0.851070 | + | 0.525053i | \(0.175954\pi\) | |||||||
\(920\) | −26.7781 | + | 29.4392i | −0.0291066 | + | 0.0319992i | ||||
\(921\) | 525.717 | − | 525.717i | 0.570811 | − | 0.570811i | ||||
\(922\) | 6.27211 | + | 3.49053i | 0.00680272 | + | 0.00378582i | ||||
\(923\) | 4.73985 | + | 11.4430i | 0.00513526 | + | 0.0123976i | ||||
\(924\) | −309.288 | − | 498.699i | −0.334728 | − | 0.539718i | ||||
\(925\) | −67.1494 | + | 162.113i | −0.0725940 | + | 0.175257i | ||||
\(926\) | −224.517 | − | 25.9641i | −0.242459 | − | 0.0280390i | ||||
\(927\) | 133.407i | 0.143913i | ||||||||
\(928\) | 1239.55 | − | 852.459i | 1.33572 | − | 0.918598i | ||||
\(929\) | 166.333 | 0.179045 | 0.0895225 | − | 0.995985i | \(-0.471466\pi\) | ||||
0.0895225 | + | 0.995985i | \(0.471466\pi\) | |||||||
\(930\) | −70.7817 | + | 612.066i | −0.0761094 | + | 0.658135i | ||||
\(931\) | 316.459 | + | 131.082i | 0.339913 | + | 0.140797i | ||||
\(932\) | −270.135 | − | 435.568i | −0.289844 | − | 0.467347i | ||||
\(933\) | −585.329 | + | 242.451i | −0.627363 | + | 0.259862i | ||||
\(934\) | 382.237 | − | 686.840i | 0.409247 | − | 0.735374i | ||||
\(935\) | 1312.16 | + | 1312.16i | 1.40338 | + | 1.40338i | ||||
\(936\) | 1.13031 | + | 23.8781i | 0.00120759 | + | 0.0255108i | ||||
\(937\) | 919.394 | + | 919.394i | 0.981211 | + | 0.981211i | 0.999827 | − | 0.0186162i | \(-0.00592605\pi\) |
−0.0186162 | + | 0.999827i | \(0.505926\pi\) | |||||||
\(938\) | −86.1756 | − | 302.454i | −0.0918717 | − | 0.322446i | ||||
\(939\) | −675.000 | + | 279.594i | −0.718850 | + | 0.297757i | ||||
\(940\) | 1112.72 | − | 182.350i | 1.18375 | − | 0.193990i | ||||
\(941\) | 540.855 | + | 224.029i | 0.574766 | + | 0.238076i | 0.651082 | − | 0.759008i | \(-0.274316\pi\) |
−0.0763153 | + | 0.997084i | \(0.524316\pi\) | |||||||
\(942\) | −221.442 | + | 175.534i | −0.235076 | + | 0.186342i | ||||
\(943\) | 60.4635 | 0.0641182 | ||||||||
\(944\) | 15.0360 | − | 221.327i | 0.0159279 | − | 0.234457i | ||||
\(945\) | − | 650.447i | − | 0.688304i | ||||||
\(946\) | −373.531 | + | 296.093i | −0.394853 | + | 0.312995i | ||||
\(947\) | −149.824 | + | 361.708i | −0.158209 | + | 0.381951i | −0.983030 | − | 0.183443i | \(-0.941276\pi\) |
0.824821 | + | 0.565394i | \(0.191276\pi\) | |||||||
\(948\) | −801.857 | − | 576.049i | −0.845841 | − | 0.607647i | ||||
\(949\) | 3.41948 | + | 8.25535i | 0.00360324 | + | 0.00869900i | ||||
\(950\) | 46.1522 | + | 161.982i | 0.0485813 | + | 0.170508i | ||||
\(951\) | 36.2291 | − | 36.2291i | 0.0380958 | − | 0.0380958i | ||||
\(952\) | −1069.13 | + | 503.326i | −1.12303 | + | 0.528703i | ||||
\(953\) | −400.363 | + | 400.363i | −0.420108 | + | 0.420108i | −0.885241 | − | 0.465133i | \(-0.846006\pi\) |
0.465133 | + | 0.885241i | \(0.346006\pi\) | |||||||
\(954\) | −177.331 | + | 318.646i | −0.185882 | + | 0.334010i | ||||
\(955\) | −394.498 | − | 952.401i | −0.413086 | − | 0.997279i | ||||
\(956\) | 1105.14 | + | 259.071i | 1.15601 | + | 0.270995i | ||||
\(957\) | 474.646 | − | 1145.90i | 0.495973 | − | 1.19738i | ||||
\(958\) | −47.2436 | + | 408.526i | −0.0493148 | + | 0.426436i | ||||
\(959\) | − | 1090.81i | − | 1.13744i | ||||||
\(960\) | 382.924 | + | 316.553i | 0.398879 | + | 0.329743i | ||||
\(961\) | −613.912 | −0.638827 | ||||||||
\(962\) | −38.6205 | − | 4.46623i | −0.0401461 | − | 0.00464265i | ||||
\(963\) | −649.662 | − | 269.099i | −0.674623 | − | 0.279438i | ||||
\(964\) | −282.541 | + | 1205.26i | −0.293092 | + | 1.25027i | ||||
\(965\) | −194.590 | + | 80.6020i | −0.201648 | + | 0.0835254i | ||||
\(966\) | −18.2568 | − | 10.1602i | −0.0188994 | − | 0.0105178i | ||||
\(967\) | −450.402 | − | 450.402i | −0.465772 | − | 0.465772i | 0.434770 | − | 0.900542i | \(-0.356830\pi\) |
−0.900542 | + | 0.434770i | \(0.856830\pi\) | |||||||
\(968\) | −842.631 | + | 396.695i | −0.870487 | + | 0.409809i | ||||
\(969\) | 609.338 | + | 609.338i | 0.628831 | + | 0.628831i | ||||
\(970\) | −583.568 | + | 166.271i | −0.601616 | + | 0.171413i | ||||
\(971\) | 1287.15 | − | 533.155i | 1.32559 | − | 0.549079i | 0.396198 | − | 0.918165i | \(-0.370329\pi\) |
0.929395 | + | 0.369086i | \(0.120329\pi\) | |||||||
\(972\) | −583.621 | + | 812.398i | −0.600433 | + | 0.835800i | ||||
\(973\) | −354.581 | − | 146.872i | −0.364421 | − | 0.150948i | ||||
\(974\) | −1007.20 | − | 1270.62i | −1.03409 | − | 1.30453i | ||||
\(975\) | −3.74769 | −0.00384378 | ||||||||
\(976\) | 445.431 | − | 388.760i | 0.456385 | − | 0.398320i | ||||
\(977\) | 1408.92i | 1.44208i | 0.692891 | + | 0.721042i | \(0.256336\pi\) | ||||
−0.692891 | + | 0.721042i | \(0.743664\pi\) | |||||||
\(978\) | 443.603 | + | 559.620i | 0.453582 | + | 0.572208i | ||||
\(979\) | 49.3888 | − | 119.235i | 0.0504482 | − | 0.121793i | ||||
\(980\) | −53.0230 | − | 323.553i | −0.0541051 | − | 0.330156i | ||||
\(981\) | −206.898 | − | 499.495i | −0.210905 | − | 0.509169i | ||||
\(982\) | −876.732 | + | 249.800i | −0.892802 | + | 0.254378i | ||||
\(983\) | −748.725 | + | 748.725i | −0.761674 | + | 0.761674i | −0.976625 | − | 0.214951i | \(-0.931041\pi\) |
0.214951 | + | 0.976625i | \(0.431041\pi\) | |||||||
\(984\) | −35.6917 | − | 753.999i | −0.0362721 | − | 0.766259i | ||||
\(985\) | −647.120 | + | 647.120i | −0.656975 | + | 0.656975i | ||||
\(986\) | −2182.41 | − | 1214.55i | −2.21340 | − | 1.23179i | ||||
\(987\) | 226.544 | + | 546.925i | 0.229527 | + | 0.554128i | ||||
\(988\) | −31.7138 | + | 19.6686i | −0.0320990 | + | 0.0199075i | ||||
\(989\) | −6.49449 | + | 15.6791i | −0.00656673 | + | 0.0158535i | ||||
\(990\) | −842.215 | − | 97.3972i | −0.850723 | − | 0.0983810i | ||||
\(991\) | 1179.74i | 1.19045i | 0.803559 | + | 0.595225i | \(0.202937\pi\) | ||||
−0.803559 | + | 0.595225i | \(0.797063\pi\) | |||||||
\(992\) | −691.336 | + | 1065.25i | −0.696911 | + | 1.07384i | ||||
\(993\) | −217.455 | −0.218988 | ||||||||
\(994\) | 32.1354 | − | 277.882i | 0.0323294 | − | 0.279559i | ||||
\(995\) | 322.873 | + | 133.738i | 0.324496 | + | 0.134411i | ||||
\(996\) | −167.148 | + | 103.664i | −0.167820 | + | 0.104080i | ||||
\(997\) | 1523.14 | − | 630.907i | 1.52773 | − | 0.632805i | 0.548606 | − | 0.836081i | \(-0.315159\pi\) |
0.979121 | + | 0.203276i | \(0.0651588\pi\) | |||||||
\(998\) | −293.030 | + | 526.545i | −0.293618 | + | 0.527600i | ||||
\(999\) | −720.196 | − | 720.196i | −0.720917 | − | 0.720917i |
(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.19.1 | ✓ | 28 | |
3.2 | odd | 2 | 288.3.u.a.19.7 | 28 | |||
4.3 | odd | 2 | 128.3.h.a.111.3 | 28 | |||
8.3 | odd | 2 | 256.3.h.a.223.5 | 28 | |||
8.5 | even | 2 | 256.3.h.b.223.3 | 28 | |||
32.5 | even | 8 | 128.3.h.a.15.3 | 28 | |||
32.11 | odd | 8 | 256.3.h.b.31.3 | 28 | |||
32.21 | even | 8 | 256.3.h.a.31.5 | 28 | |||
32.27 | odd | 8 | inner | 32.3.h.a.27.1 | yes | 28 | |
96.59 | even | 8 | 288.3.u.a.91.7 | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
32.3.h.a.19.1 | ✓ | 28 | 1.1 | even | 1 | trivial | |
32.3.h.a.27.1 | yes | 28 | 32.27 | odd | 8 | inner | |
128.3.h.a.15.3 | 28 | 32.5 | even | 8 | |||
128.3.h.a.111.3 | 28 | 4.3 | odd | 2 | |||
256.3.h.a.31.5 | 28 | 32.21 | even | 8 | |||
256.3.h.a.223.5 | 28 | 8.3 | odd | 2 | |||
256.3.h.b.31.3 | 28 | 32.11 | odd | 8 | |||
256.3.h.b.223.3 | 28 | 8.5 | even | 2 | |||
288.3.u.a.19.7 | 28 | 3.2 | odd | 2 | |||
288.3.u.a.91.7 | 28 | 96.59 | even | 8 |