Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [42,4,Mod(5,42)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(42, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 5]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("42.5");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 42 = 2 \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 42.f (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.47808022024\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 2 x^{15} - x^{14} - 2 x^{13} + 9 x^{12} - 24 x^{11} + 714 x^{10} - 1940 x^{9} - 2834 x^{8} + \cdots + 43046721 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{6}\cdot 3^{8} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 17.5 | ||
Root | \(-2.81518 + 1.03671i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 42.17 |
Dual form | 42.4.f.a.5.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/42\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(31\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.73205 | − | 1.00000i | 0.612372 | − | 0.353553i | ||||
\(3\) | −4.87603 | − | 1.79564i | −0.938393 | − | 0.345571i | ||||
\(4\) | 2.00000 | − | 3.46410i | 0.250000 | − | 0.433013i | ||||
\(5\) | −9.90442 | − | 17.1550i | −0.885879 | − | 1.53439i | −0.844703 | − | 0.535235i | \(-0.820223\pi\) |
−0.0411754 | − | 0.999152i | \(-0.513110\pi\) | |||||||
\(6\) | −10.2412 | + | 1.76589i | −0.696824 | + | 0.120154i | ||||
\(7\) | 18.4277 | + | 1.84901i | 0.995004 | + | 0.0998373i | ||||
\(8\) | − | 8.00000i | − | 0.353553i | ||||||
\(9\) | 20.5514 | + | 17.5112i | 0.761161 | + | 0.648563i | ||||
\(10\) | −34.3099 | − | 19.8088i | −1.08498 | − | 0.626411i | ||||
\(11\) | −4.28742 | − | 2.47535i | −0.117519 | − | 0.0678495i | 0.440088 | − | 0.897954i | \(-0.354947\pi\) |
−0.557607 | + | 0.830105i | \(0.688280\pi\) | |||||||
\(12\) | −15.9723 | + | 13.2998i | −0.384235 | + | 0.319943i | ||||
\(13\) | 17.7414i | 0.378505i | 0.981928 | + | 0.189253i | \(0.0606065\pi\) | ||||
−0.981928 | + | 0.189253i | \(0.939394\pi\) | |||||||
\(14\) | 33.7668 | − | 15.2251i | 0.644611 | − | 0.290649i | ||||
\(15\) | 17.4901 | + | 101.433i | 0.301062 | + | 1.74599i | ||||
\(16\) | −8.00000 | − | 13.8564i | −0.125000 | − | 0.216506i | ||||
\(17\) | −0.947671 | + | 1.64141i | −0.0135202 | + | 0.0234177i | −0.872706 | − | 0.488245i | \(-0.837637\pi\) |
0.859186 | + | 0.511663i | \(0.170970\pi\) | |||||||
\(18\) | 53.1072 | + | 9.77893i | 0.695416 | + | 0.128051i | ||||
\(19\) | 83.9968 | − | 48.4956i | 1.01422 | − | 0.585561i | 0.101796 | − | 0.994805i | \(-0.467541\pi\) |
0.912425 | + | 0.409245i | \(0.134208\pi\) | |||||||
\(20\) | −79.2354 | −0.885879 | ||||||||
\(21\) | −86.5340 | − | 42.1054i | −0.899203 | − | 0.437531i | ||||
\(22\) | −9.90138 | −0.0959537 | ||||||||
\(23\) | 135.935 | − | 78.4822i | 1.23237 | − | 0.711508i | 0.264845 | − | 0.964291i | \(-0.414679\pi\) |
0.967523 | + | 0.252783i | \(0.0813460\pi\) | |||||||
\(24\) | −14.3651 | + | 39.0082i | −0.122178 | + | 0.331772i | ||||
\(25\) | −133.695 | + | 231.567i | −1.06956 | + | 1.85254i | ||||
\(26\) | 17.7414 | + | 30.7289i | 0.133822 | + | 0.231786i | ||||
\(27\) | −68.7652 | − | 122.288i | −0.490143 | − | 0.871642i | ||||
\(28\) | 43.2606 | − | 60.1375i | 0.291982 | − | 0.405890i | ||||
\(29\) | 92.0138i | 0.589191i | 0.955622 | + | 0.294595i | \(0.0951849\pi\) | ||||
−0.955622 | + | 0.294595i | \(0.904815\pi\) | |||||||
\(30\) | 131.727 | + | 158.197i | 0.801663 | + | 0.962755i | ||||
\(31\) | 67.3521 | + | 38.8857i | 0.390219 | + | 0.225293i | 0.682255 | − | 0.731114i | \(-0.260999\pi\) |
−0.292036 | + | 0.956407i | \(0.594333\pi\) | |||||||
\(32\) | −27.7128 | − | 16.0000i | −0.153093 | − | 0.0883883i | ||||
\(33\) | 16.4608 | + | 19.7685i | 0.0868319 | + | 0.104281i | ||||
\(34\) | 3.79068i | 0.0191205i | ||||||||
\(35\) | −150.796 | − | 334.440i | −0.728264 | − | 1.61516i | ||||
\(36\) | 101.763 | − | 36.1696i | 0.471126 | − | 0.167452i | ||||
\(37\) | −124.469 | − | 215.587i | −0.553044 | − | 0.957901i | −0.998053 | − | 0.0623743i | \(-0.980133\pi\) |
0.445009 | − | 0.895526i | \(-0.353201\pi\) | |||||||
\(38\) | 96.9912 | − | 167.994i | 0.414054 | − | 0.717163i | ||||
\(39\) | 31.8571 | − | 86.5074i | 0.130800 | − | 0.355186i | ||||
\(40\) | −137.240 | + | 79.2354i | −0.542488 | + | 0.313205i | ||||
\(41\) | −343.701 | −1.30920 | −0.654598 | − | 0.755977i | \(-0.727162\pi\) | ||||
−0.654598 | + | 0.755977i | \(0.727162\pi\) | |||||||
\(42\) | −191.987 | + | 13.6053i | −0.705338 | + | 0.0499843i | ||||
\(43\) | −24.5859 | −0.0871934 | −0.0435967 | − | 0.999049i | \(-0.513882\pi\) | ||||
−0.0435967 | + | 0.999049i | \(0.513882\pi\) | |||||||
\(44\) | −17.1497 | + | 9.90138i | −0.0587594 | + | 0.0339248i | ||||
\(45\) | 96.8547 | − | 525.996i | 0.320850 | − | 1.74246i | ||||
\(46\) | 156.964 | − | 271.870i | 0.503112 | − | 0.871415i | ||||
\(47\) | 235.248 | + | 407.461i | 0.730093 | + | 1.26456i | 0.956843 | + | 0.290606i | \(0.0938568\pi\) |
−0.226750 | + | 0.973953i | \(0.572810\pi\) | |||||||
\(48\) | 14.1271 | + | 81.9294i | 0.0424807 | + | 0.246364i | ||||
\(49\) | 336.162 | + | 68.1462i | 0.980065 | + | 0.198677i | ||||
\(50\) | 534.781i | 1.51259i | ||||||||
\(51\) | 7.56826 | − | 6.30191i | 0.0207798 | − | 0.0173028i | ||||
\(52\) | 61.4579 | + | 35.4827i | 0.163898 | + | 0.0946263i | ||||
\(53\) | 344.910 | + | 199.134i | 0.893907 | + | 0.516097i | 0.875218 | − | 0.483728i | \(-0.160718\pi\) |
0.0186885 | + | 0.999825i | \(0.494051\pi\) | |||||||
\(54\) | −241.393 | − | 143.044i | −0.608322 | − | 0.360478i | ||||
\(55\) | 98.0675i | 0.240426i | ||||||||
\(56\) | 14.7921 | − | 147.422i | 0.0352978 | − | 0.351787i | ||||
\(57\) | −496.652 | + | 85.6379i | −1.15409 | + | 0.199000i | ||||
\(58\) | 92.0138 | + | 159.373i | 0.208310 | + | 0.360804i | ||||
\(59\) | −335.568 | + | 581.220i | −0.740461 | + | 1.28252i | 0.211825 | + | 0.977308i | \(0.432059\pi\) |
−0.952286 | + | 0.305208i | \(0.901274\pi\) | |||||||
\(60\) | 386.354 | + | 142.278i | 0.831302 | + | 0.306134i | ||||
\(61\) | −273.703 | + | 158.023i | −0.574494 | + | 0.331684i | −0.758942 | − | 0.651158i | \(-0.774284\pi\) |
0.184448 | + | 0.982842i | \(0.440950\pi\) | |||||||
\(62\) | 155.543 | 0.318612 | ||||||||
\(63\) | 346.336 | + | 360.691i | 0.692607 | + | 0.721315i | ||||
\(64\) | −64.0000 | −0.125000 | ||||||||
\(65\) | 304.352 | − | 175.718i | 0.580773 | − | 0.335310i | ||||
\(66\) | 48.2794 | + | 17.7793i | 0.0900422 | + | 0.0331588i | ||||
\(67\) | 116.895 | − | 202.469i | 0.213150 | − | 0.369186i | −0.739549 | − | 0.673103i | \(-0.764961\pi\) |
0.952699 | + | 0.303917i | \(0.0982944\pi\) | |||||||
\(68\) | 3.79068 | + | 6.56566i | 0.00676012 | + | 0.0117089i | ||||
\(69\) | −803.750 | + | 138.591i | −1.40232 | + | 0.241803i | ||||
\(70\) | −595.627 | − | 428.472i | −1.01702 | − | 0.731602i | ||||
\(71\) | 152.225i | 0.254447i | 0.991874 | + | 0.127224i | \(0.0406066\pi\) | ||||
−0.991874 | + | 0.127224i | \(0.959393\pi\) | |||||||
\(72\) | 140.090 | − | 164.411i | 0.229302 | − | 0.269111i | ||||
\(73\) | 539.897 | + | 311.709i | 0.865618 | + | 0.499765i | 0.865890 | − | 0.500235i | \(-0.166753\pi\) |
−0.000271580 | 1.00000i | \(0.500086\pi\) | ||||||||
\(74\) | −431.174 | − | 248.939i | −0.677338 | − | 0.391061i | ||||
\(75\) | 1067.71 | − | 889.059i | 1.64385 | − | 1.36880i | ||||
\(76\) | − | 387.965i | − | 0.585561i | ||||||
\(77\) | −74.4305 | − | 53.5425i | −0.110158 | − | 0.0792433i | ||||
\(78\) | −31.3293 | − | 181.692i | −0.0454788 | − | 0.263751i | ||||
\(79\) | −151.191 | − | 261.870i | −0.215320 | − | 0.372945i | 0.738052 | − | 0.674744i | \(-0.235746\pi\) |
−0.953371 | + | 0.301799i | \(0.902413\pi\) | |||||||
\(80\) | −158.471 | + | 274.479i | −0.221470 | + | 0.383597i | ||||
\(81\) | 115.716 | + | 719.757i | 0.158733 | + | 0.987322i | ||||
\(82\) | −595.307 | + | 343.701i | −0.801716 | + | 0.462871i | ||||
\(83\) | 856.438 | 1.13261 | 0.566303 | − | 0.824197i | \(-0.308373\pi\) | ||||
0.566303 | + | 0.824197i | \(0.308373\pi\) | |||||||
\(84\) | −318.925 | + | 215.552i | −0.414257 | + | 0.279984i | ||||
\(85\) | 37.5446 | 0.0479092 | ||||||||
\(86\) | −42.5840 | + | 24.5859i | −0.0533948 | + | 0.0308275i | ||||
\(87\) | 165.224 | − | 448.662i | 0.203607 | − | 0.552892i | ||||
\(88\) | −19.8028 | + | 34.2994i | −0.0239884 | + | 0.0415492i | ||||
\(89\) | −453.577 | − | 785.618i | −0.540214 | − | 0.935678i | −0.998891 | − | 0.0470750i | \(-0.985010\pi\) |
0.458678 | − | 0.888603i | \(-0.348323\pi\) | |||||||
\(90\) | −358.239 | − | 1007.91i | −0.419574 | − | 1.18047i | ||||
\(91\) | −32.8040 | + | 326.933i | −0.0377889 | + | 0.376614i | ||||
\(92\) | − | 627.858i | − | 0.711508i | ||||||
\(93\) | −258.586 | − | 310.548i | −0.288324 | − | 0.346262i | ||||
\(94\) | 814.922 | + | 470.495i | 0.894178 | + | 0.516254i | ||||
\(95\) | −1663.88 | − | 960.642i | −1.79695 | − | 1.03747i | ||||
\(96\) | 106.398 | + | 127.779i | 0.113117 | + | 0.135848i | ||||
\(97\) | − | 70.3731i | − | 0.0736629i | −0.999321 | − | 0.0368315i | \(-0.988274\pi\) | ||
0.999321 | − | 0.0368315i | \(-0.0117265\pi\) | |||||||
\(98\) | 650.396 | − | 218.130i | 0.670408 | − | 0.224841i | ||||
\(99\) | −44.7661 | − | 125.950i | −0.0454461 | − | 0.127863i | ||||
\(100\) | 534.781 | + | 926.268i | 0.534781 | + | 0.926268i | ||||
\(101\) | −119.274 | + | 206.588i | −0.117507 | + | 0.203527i | −0.918779 | − | 0.394772i | \(-0.870823\pi\) |
0.801272 | + | 0.598300i | \(0.204157\pi\) | |||||||
\(102\) | 6.80671 | − | 18.4835i | 0.00660749 | − | 0.0179425i | ||||
\(103\) | −16.9592 | + | 9.79138i | −0.0162237 | + | 0.00936674i | −0.508090 | − | 0.861304i | \(-0.669648\pi\) |
0.491866 | + | 0.870671i | \(0.336315\pi\) | |||||||
\(104\) | 141.931 | 0.133822 | ||||||||
\(105\) | 134.753 | + | 1901.52i | 0.125243 | + | 1.76733i | ||||
\(106\) | 796.536 | 0.729872 | ||||||||
\(107\) | 419.010 | − | 241.915i | 0.378572 | − | 0.218569i | −0.298625 | − | 0.954371i | \(-0.596528\pi\) |
0.677197 | + | 0.735802i | \(0.263195\pi\) | |||||||
\(108\) | −561.148 | − | 6.36627i | −0.499968 | − | 0.00567218i | ||||
\(109\) | −21.4023 | + | 37.0698i | −0.0188070 | + | 0.0325747i | −0.875276 | − | 0.483624i | \(-0.839320\pi\) |
0.856469 | + | 0.516199i | \(0.172653\pi\) | |||||||
\(110\) | 98.0675 | + | 169.858i | 0.0850033 | + | 0.147230i | ||||
\(111\) | 219.799 | + | 1274.71i | 0.187950 | + | 1.09000i | ||||
\(112\) | −121.801 | − | 270.134i | −0.102760 | − | 0.227904i | ||||
\(113\) | − | 378.359i | − | 0.314983i | −0.987520 | − | 0.157491i | \(-0.949659\pi\) | ||
0.987520 | − | 0.157491i | \(-0.0503406\pi\) | |||||||
\(114\) | −774.588 | + | 644.981i | −0.636376 | + | 0.529895i | ||||
\(115\) | −2692.72 | − | 1554.64i | −2.18346 | − | 1.26062i | ||||
\(116\) | 318.745 | + | 184.028i | 0.255127 | + | 0.147298i | ||||
\(117\) | −310.672 | + | 364.609i | −0.245484 | + | 0.288103i | ||||
\(118\) | 1342.27i | 1.04717i | ||||||||
\(119\) | −20.4984 | + | 28.4953i | −0.0157906 | + | 0.0219509i | ||||
\(120\) | 811.463 | − | 139.921i | 0.617301 | − | 0.106442i | ||||
\(121\) | −653.245 | − | 1131.45i | −0.490793 | − | 0.850078i | ||||
\(122\) | −316.045 | + | 547.407i | −0.234536 | + | 0.406229i | ||||
\(123\) | 1675.90 | + | 617.163i | 1.22854 | + | 0.452421i | ||||
\(124\) | 269.408 | − | 155.543i | 0.195109 | − | 0.112647i | ||||
\(125\) | 2820.59 | 2.01825 | ||||||||
\(126\) | 960.563 | + | 278.399i | 0.679157 | + | 0.196840i | ||||
\(127\) | 112.805 | 0.0788177 | 0.0394088 | − | 0.999223i | \(-0.487453\pi\) | ||||
0.0394088 | + | 0.999223i | \(0.487453\pi\) | |||||||
\(128\) | −110.851 | + | 64.0000i | −0.0765466 | + | 0.0441942i | ||||
\(129\) | 119.882 | + | 44.1474i | 0.0818216 | + | 0.0301315i | ||||
\(130\) | 351.436 | − | 608.705i | 0.237100 | − | 0.410669i | ||||
\(131\) | 790.927 | + | 1369.93i | 0.527508 | + | 0.913671i | 0.999486 | + | 0.0320608i | \(0.0102070\pi\) |
−0.471977 | + | 0.881611i | \(0.656460\pi\) | |||||||
\(132\) | 101.402 | − | 17.4848i | 0.0668628 | − | 0.0115292i | ||||
\(133\) | 1637.54 | − | 738.353i | 1.06761 | − | 0.481378i | ||||
\(134\) | − | 467.581i | − | 0.301439i | ||||||
\(135\) | −1416.77 | + | 2390.86i | −0.903228 | + | 1.52424i | ||||
\(136\) | 13.1313 | + | 7.58137i | 0.00827942 | + | 0.00478013i | ||||
\(137\) | −1597.31 | − | 922.210i | −0.996115 | − | 0.575107i | −0.0890187 | − | 0.996030i | \(-0.528373\pi\) |
−0.907097 | + | 0.420923i | \(0.861706\pi\) | |||||||
\(138\) | −1253.55 | + | 1043.80i | −0.773253 | + | 0.643869i | ||||
\(139\) | − | 55.8671i | − | 0.0340905i | −0.999855 | − | 0.0170453i | \(-0.994574\pi\) | ||
0.999855 | − | 0.0170453i | \(-0.00542594\pi\) | |||||||
\(140\) | −1460.13 | − | 146.507i | −0.881453 | − | 0.0884437i | ||||
\(141\) | −415.421 | − | 2409.21i | −0.248119 | − | 1.43895i | ||||
\(142\) | 152.225 | + | 263.661i | 0.0899608 | + | 0.155817i | ||||
\(143\) | 43.9160 | − | 76.0647i | 0.0256814 | − | 0.0444815i | ||||
\(144\) | 78.2314 | − | 424.857i | 0.0452728 | − | 0.245867i | ||||
\(145\) | 1578.49 | − | 911.344i | 0.904046 | − | 0.521951i | ||||
\(146\) | 1246.84 | 0.706774 | ||||||||
\(147\) | −1516.77 | − | 935.910i | −0.851029 | − | 0.525119i | ||||
\(148\) | −995.755 | −0.553044 | ||||||||
\(149\) | −2951.20 | + | 1703.87i | −1.62263 | + | 0.936824i | −0.636414 | + | 0.771348i | \(0.719583\pi\) |
−0.986214 | + | 0.165477i | \(0.947084\pi\) | |||||||
\(150\) | 960.274 | − | 2607.61i | 0.522707 | − | 1.41940i | ||||
\(151\) | −1627.89 | + | 2819.59i | −0.877324 | + | 1.51957i | −0.0230569 | + | 0.999734i | \(0.507340\pi\) |
−0.854267 | + | 0.519835i | \(0.825993\pi\) | |||||||
\(152\) | −387.965 | − | 671.975i | −0.207027 | − | 0.358581i | ||||
\(153\) | −48.2191 | + | 17.1384i | −0.0254790 | + | 0.00905595i | ||||
\(154\) | −182.460 | − | 18.3078i | −0.0954743 | − | 0.00957976i | ||||
\(155\) | − | 1540.56i | − | 0.798329i | ||||||
\(156\) | −235.956 | − | 283.371i | −0.121100 | − | 0.145435i | ||||
\(157\) | 2199.76 | + | 1270.03i | 1.11822 | + | 0.645602i | 0.940945 | − | 0.338560i | \(-0.109940\pi\) |
0.177271 | + | 0.984162i | \(0.443273\pi\) | |||||||
\(158\) | −523.739 | − | 302.381i | −0.263712 | − | 0.152254i | ||||
\(159\) | −1324.22 | − | 1590.32i | −0.660487 | − | 0.793210i | ||||
\(160\) | 633.883i | 0.313205i | ||||||||
\(161\) | 2650.09 | − | 1194.90i | 1.29725 | − | 0.584917i | ||||
\(162\) | 920.184 | + | 1130.94i | 0.446274 | + | 0.548488i | ||||
\(163\) | −862.851 | − | 1494.50i | −0.414624 | − | 0.718150i | 0.580765 | − | 0.814071i | \(-0.302754\pi\) |
−0.995389 | + | 0.0959216i | \(0.969420\pi\) | |||||||
\(164\) | −687.402 | + | 1190.61i | −0.327299 | + | 0.566899i | ||||
\(165\) | 176.094 | − | 478.180i | 0.0830842 | − | 0.225614i | ||||
\(166\) | 1483.39 | − | 856.438i | 0.693576 | − | 0.400436i | ||||
\(167\) | −485.621 | −0.225021 | −0.112510 | − | 0.993651i | \(-0.535889\pi\) | ||||
−0.112510 | + | 0.993651i | \(0.535889\pi\) | |||||||
\(168\) | −336.843 | + | 692.272i | −0.154691 | + | 0.317916i | ||||
\(169\) | 1882.24 | 0.856734 | ||||||||
\(170\) | 65.0291 | − | 37.5446i | 0.0293382 | − | 0.0169384i | ||||
\(171\) | 2575.46 | + | 474.235i | 1.15176 | + | 0.212080i | ||||
\(172\) | −49.1718 | + | 85.1680i | −0.0217983 | + | 0.0377558i | ||||
\(173\) | 726.552 | + | 1258.43i | 0.319299 | + | 0.553042i | 0.980342 | − | 0.197306i | \(-0.0632192\pi\) |
−0.661043 | + | 0.750348i | \(0.729886\pi\) | |||||||
\(174\) | −162.486 | − | 942.329i | −0.0707934 | − | 0.410562i | ||||
\(175\) | −2891.87 | + | 4020.05i | −1.24917 | + | 1.73650i | ||||
\(176\) | 79.2110i | 0.0339248i | ||||||||
\(177\) | 2679.90 | − | 2231.49i | 1.13804 | − | 0.947622i | ||||
\(178\) | −1571.24 | − | 907.153i | −0.661624 | − | 0.381989i | ||||
\(179\) | −1099.44 | − | 634.760i | −0.459082 | − | 0.265051i | 0.252576 | − | 0.967577i | \(-0.418722\pi\) |
−0.711658 | + | 0.702526i | \(0.752056\pi\) | |||||||
\(180\) | −1628.39 | − | 1387.51i | −0.674296 | − | 0.574548i | ||||
\(181\) | − | 3289.26i | − | 1.35076i | −0.737468 | − | 0.675382i | \(-0.763979\pi\) | ||
0.737468 | − | 0.675382i | \(-0.236021\pi\) | |||||||
\(182\) | 270.115 | + | 599.068i | 0.110012 | + | 0.243988i | ||||
\(183\) | 1618.34 | − | 279.051i | 0.653721 | − | 0.112721i | ||||
\(184\) | −627.858 | − | 1087.48i | −0.251556 | − | 0.435708i | ||||
\(185\) | −2465.59 | + | 4270.53i | −0.979860 | + | 1.69717i | ||||
\(186\) | −758.432 | − | 279.299i | −0.298984 | − | 0.110103i | ||||
\(187\) | 8.12614 | − | 4.69163i | 0.00317776 | − | 0.00183468i | ||||
\(188\) | 1881.98 | 0.730093 | ||||||||
\(189\) | −1041.07 | − | 2380.64i | −0.400672 | − | 0.916222i | ||||
\(190\) | −3842.57 | −1.46721 | ||||||||
\(191\) | 1713.46 | − | 989.265i | 0.649117 | − | 0.374768i | −0.139001 | − | 0.990292i | \(-0.544389\pi\) |
0.788118 | + | 0.615524i | \(0.211056\pi\) | |||||||
\(192\) | 312.066 | + | 114.921i | 0.117299 | + | 0.0431964i | ||||
\(193\) | 459.923 | − | 796.611i | 0.171534 | − | 0.297105i | −0.767423 | − | 0.641142i | \(-0.778461\pi\) |
0.938956 | + | 0.344037i | \(0.111794\pi\) | |||||||
\(194\) | −70.3731 | − | 121.890i | −0.0260438 | − | 0.0451091i | ||||
\(195\) | −1799.56 | + | 310.299i | −0.660867 | + | 0.113954i | ||||
\(196\) | 908.390 | − | 1028.21i | 0.331046 | − | 0.374711i | ||||
\(197\) | 3061.98i | 1.10740i | 0.832717 | + | 0.553699i | \(0.186784\pi\) | ||||
−0.832717 | + | 0.553699i | \(0.813216\pi\) | |||||||
\(198\) | −203.487 | − | 173.385i | −0.0730362 | − | 0.0622320i | ||||
\(199\) | −451.592 | − | 260.727i | −0.160867 | − | 0.0928766i | 0.417405 | − | 0.908720i | \(-0.362940\pi\) |
−0.578272 | + | 0.815844i | \(0.696273\pi\) | |||||||
\(200\) | 1852.54 | + | 1069.56i | 0.654970 | + | 0.378147i | ||||
\(201\) | −933.546 | + | 777.342i | −0.327598 | + | 0.272783i | ||||
\(202\) | 477.094i | 0.166179i | ||||||||
\(203\) | −170.135 | + | 1695.60i | −0.0588232 | + | 0.586247i | ||||
\(204\) | −6.69393 | − | 38.8211i | −0.00229740 | − | 0.0133236i | ||||
\(205\) | 3404.16 | + | 5896.18i | 1.15979 | + | 2.00881i | ||||
\(206\) | −19.5828 | + | 33.9183i | −0.00662328 | + | 0.0114719i | ||||
\(207\) | 4167.97 | + | 767.472i | 1.39949 | + | 0.257696i | ||||
\(208\) | 245.831 | − | 141.931i | 0.0819488 | − | 0.0473131i | ||||
\(209\) | −480.173 | −0.158920 | ||||||||
\(210\) | 2134.92 | + | 3158.77i | 0.701539 | + | 1.03798i | ||||
\(211\) | 99.6288 | 0.0325058 | 0.0162529 | − | 0.999868i | \(-0.494826\pi\) | ||||
0.0162529 | + | 0.999868i | \(0.494826\pi\) | |||||||
\(212\) | 1379.64 | − | 796.536i | 0.446953 | − | 0.258049i | ||||
\(213\) | 273.341 | − | 742.253i | 0.0879297 | − | 0.238772i | ||||
\(214\) | 483.831 | − | 838.020i | 0.154551 | − | 0.267691i | ||||
\(215\) | 243.509 | + | 421.770i | 0.0772427 | + | 0.133788i | ||||
\(216\) | −978.304 | + | 550.122i | −0.308172 | + | 0.173292i | ||||
\(217\) | 1169.25 | + | 841.111i | 0.365777 | + | 0.263126i | ||||
\(218\) | 85.6091i | 0.0265972i | ||||||||
\(219\) | −2072.83 | − | 2489.36i | −0.639585 | − | 0.768108i | ||||
\(220\) | 339.716 | + | 196.135i | 0.104107 | + | 0.0601064i | ||||
\(221\) | −29.1209 | − | 16.8130i | −0.00886373 | − | 0.00511748i | ||||
\(222\) | 1655.42 | + | 1988.07i | 0.500469 | + | 0.601037i | ||||
\(223\) | 1782.29i | 0.535206i | 0.963529 | + | 0.267603i | \(0.0862316\pi\) | ||||
−0.963529 | + | 0.267603i | \(0.913768\pi\) | |||||||
\(224\) | −481.100 | − | 346.085i | −0.143504 | − | 0.103231i | ||||
\(225\) | −6802.63 | + | 2417.85i | −2.01559 | + | 0.716400i | ||||
\(226\) | −378.359 | − | 655.337i | −0.111363 | − | 0.192887i | ||||
\(227\) | 1721.58 | − | 2981.86i | 0.503370 | − | 0.871863i | −0.496622 | − | 0.867967i | \(-0.665427\pi\) |
0.999992 | − | 0.00389579i | \(-0.00124007\pi\) | |||||||
\(228\) | −696.645 | + | 1891.73i | −0.202353 | + | 0.549486i | ||||
\(229\) | −4706.78 | + | 2717.46i | −1.35822 | + | 0.784169i | −0.989384 | − | 0.145325i | \(-0.953577\pi\) |
−0.368837 | + | 0.929494i | \(0.620244\pi\) | |||||||
\(230\) | −6218.57 | −1.78278 | ||||||||
\(231\) | 266.782 | + | 394.725i | 0.0759870 | + | 0.112429i | ||||
\(232\) | 736.110 | 0.208310 | ||||||||
\(233\) | 3815.33 | − | 2202.78i | 1.07275 | − | 0.619351i | 0.143817 | − | 0.989604i | \(-0.454062\pi\) |
0.928931 | + | 0.370253i | \(0.120729\pi\) | |||||||
\(234\) | −173.491 | + | 942.193i | −0.0484679 | + | 0.263218i | ||||
\(235\) | 4659.98 | − | 8071.33i | 1.29355 | − | 2.24049i | ||||
\(236\) | 1342.27 | + | 2324.88i | 0.370230 | + | 0.641258i | ||||
\(237\) | 266.986 | + | 1548.37i | 0.0731755 | + | 0.424377i | ||||
\(238\) | −7.00902 | + | 69.8537i | −0.00190894 | + | 0.0190250i | ||||
\(239\) | 2020.29i | 0.546786i | 0.961902 | + | 0.273393i | \(0.0881459\pi\) | ||||
−0.961902 | + | 0.273393i | \(0.911854\pi\) | |||||||
\(240\) | 1265.57 | − | 1053.81i | 0.340385 | − | 0.283431i | ||||
\(241\) | −1966.82 | − | 1135.54i | −0.525700 | − | 0.303513i | 0.213563 | − | 0.976929i | \(-0.431493\pi\) |
−0.739264 | + | 0.673416i | \(0.764826\pi\) | |||||||
\(242\) | −2262.91 | − | 1306.49i | −0.601096 | − | 0.347043i | ||||
\(243\) | 728.191 | − | 3717.34i | 0.192236 | − | 0.981349i | ||||
\(244\) | 1264.18i | 0.331684i | ||||||||
\(245\) | −2160.45 | − | 6441.80i | −0.563371 | − | 1.67980i | ||||
\(246\) | 3519.90 | − | 606.938i | 0.912279 | − | 0.157305i | ||||
\(247\) | 860.378 | + | 1490.22i | 0.221638 | + | 0.383888i | ||||
\(248\) | 311.086 | − | 538.817i | 0.0796531 | − | 0.137963i | ||||
\(249\) | −4176.02 | − | 1537.85i | −1.06283 | − | 0.391396i | ||||
\(250\) | 4885.41 | − | 2820.59i | 1.23592 | − | 0.713559i | ||||
\(251\) | −4513.50 | −1.13502 | −0.567510 | − | 0.823367i | \(-0.692093\pi\) | ||||
−0.567510 | + | 0.823367i | \(0.692093\pi\) | |||||||
\(252\) | 1942.14 | − | 478.362i | 0.485490 | − | 0.119579i | ||||
\(253\) | −777.082 | −0.193102 | ||||||||
\(254\) | 195.384 | − | 112.805i | 0.0482658 | − | 0.0278663i | ||||
\(255\) | −183.068 | − | 67.4165i | −0.0449576 | − | 0.0165560i | ||||
\(256\) | −128.000 | + | 221.703i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −2969.31 | − | 5142.99i | −0.720701 | − | 1.24829i | −0.960719 | − | 0.277523i | \(-0.910487\pi\) |
0.240018 | − | 0.970769i | \(-0.422847\pi\) | |||||||
\(258\) | 251.788 | − | 43.4160i | 0.0607584 | − | 0.0104766i | ||||
\(259\) | −1895.06 | − | 4202.93i | −0.454647 | − | 1.00833i | ||||
\(260\) | − | 1405.74i | − | 0.335310i | ||||||
\(261\) | −1611.27 | + | 1891.01i | −0.382127 | + | 0.448469i | ||||
\(262\) | 2739.85 | + | 1581.85i | 0.646063 | + | 0.373005i | ||||
\(263\) | 4727.20 | + | 2729.25i | 1.10833 | + | 0.639897i | 0.938397 | − | 0.345558i | \(-0.112310\pi\) |
0.169936 | + | 0.985455i | \(0.445644\pi\) | |||||||
\(264\) | 158.148 | − | 131.686i | 0.0368688 | − | 0.0306997i | ||||
\(265\) | − | 7889.23i | − | 1.82880i | ||||||
\(266\) | 2097.95 | − | 2916.40i | 0.483585 | − | 0.672241i | ||||
\(267\) | 800.967 | + | 4645.16i | 0.183589 | + | 1.06472i | ||||
\(268\) | −467.581 | − | 809.875i | −0.106575 | − | 0.184593i | ||||
\(269\) | 2642.46 | − | 4576.87i | 0.598935 | − | 1.03739i | −0.394043 | − | 0.919092i | \(-0.628924\pi\) |
0.992979 | − | 0.118294i | \(-0.0377427\pi\) | |||||||
\(270\) | −63.0543 | + | 5557.85i | −0.0142124 | + | 1.25274i | ||||
\(271\) | −5436.74 | + | 3138.90i | −1.21866 | + | 0.703596i | −0.964632 | − | 0.263599i | \(-0.915090\pi\) |
−0.254033 | + | 0.967196i | \(0.581757\pi\) | |||||||
\(272\) | 30.3255 | 0.00676012 | ||||||||
\(273\) | 747.007 | − | 1535.23i | 0.165608 | − | 0.340353i | ||||
\(274\) | −3688.84 | −0.813325 | ||||||||
\(275\) | 1146.42 | − | 661.884i | 0.251387 | − | 0.145139i | ||||
\(276\) | −1127.41 | + | 3061.45i | −0.245877 | + | 0.667674i | ||||
\(277\) | −3748.17 | + | 6492.02i | −0.813017 | + | 1.40819i | 0.0977256 | + | 0.995213i | \(0.468843\pi\) |
−0.910743 | + | 0.412974i | \(0.864490\pi\) | |||||||
\(278\) | −55.8671 | − | 96.7646i | −0.0120528 | − | 0.0208761i | ||||
\(279\) | 703.240 | + | 1978.57i | 0.150903 | + | 0.424566i | ||||
\(280\) | −2675.52 | + | 1206.37i | −0.571047 | + | 0.257480i | ||||
\(281\) | 745.889i | 0.158349i | 0.996861 | + | 0.0791744i | \(0.0252284\pi\) | ||||
−0.996861 | + | 0.0791744i | \(0.974772\pi\) | |||||||
\(282\) | −3128.74 | − | 3757.46i | −0.660688 | − | 0.793451i | ||||
\(283\) | 2280.55 | + | 1316.68i | 0.479027 | + | 0.276566i | 0.720011 | − | 0.693963i | \(-0.244137\pi\) |
−0.240984 | + | 0.970529i | \(0.577470\pi\) | |||||||
\(284\) | 527.323 | + | 304.450i | 0.110179 | + | 0.0636119i | ||||
\(285\) | 6388.17 | + | 7671.85i | 1.32773 | + | 1.59453i | ||||
\(286\) | − | 175.664i | − | 0.0363190i | ||||||
\(287\) | −6333.63 | − | 635.507i | −1.30266 | − | 0.130707i | ||||
\(288\) | −289.357 | − | 814.106i | −0.0592031 | − | 0.166568i | ||||
\(289\) | 2454.70 | + | 4251.67i | 0.499634 | + | 0.865392i | ||||
\(290\) | 1822.69 | − | 3156.99i | 0.369075 | − | 0.639257i | ||||
\(291\) | −126.365 | + | 343.141i | −0.0254558 | + | 0.0691247i | ||||
\(292\) | 2159.59 | − | 1246.84i | 0.432809 | − | 0.249882i | ||||
\(293\) | 889.363 | 0.177328 | 0.0886640 | − | 0.996062i | \(-0.471740\pi\) | ||||
0.0886640 | + | 0.996062i | \(0.471740\pi\) | |||||||
\(294\) | −3563.04 | − | 104.271i | −0.706804 | − | 0.0206844i | ||||
\(295\) | 13294.4 | 2.62383 | ||||||||
\(296\) | −1724.70 | + | 995.755i | −0.338669 | + | 0.195531i | ||||
\(297\) | −7.87936 | + | 694.518i | −0.00153942 | + | 0.135690i | ||||
\(298\) | −3407.75 | + | 5902.39i | −0.662435 | + | 1.14737i | ||||
\(299\) | 1392.38 | + | 2411.68i | 0.269309 | + | 0.466457i | ||||
\(300\) | −944.364 | − | 5476.78i | −0.181743 | − | 1.05401i | ||||
\(301\) | −453.062 | − | 45.4596i | −0.0867577 | − | 0.00870515i | ||||
\(302\) | 6511.56i | 1.24072i | ||||||||
\(303\) | 952.539 | − | 793.156i | 0.180600 | − | 0.150382i | ||||
\(304\) | −1343.95 | − | 775.930i | −0.253555 | − | 0.146390i | ||||
\(305\) | 5421.75 | + | 3130.25i | 1.01786 | + | 0.587664i | ||||
\(306\) | −66.3794 | + | 77.9037i | −0.0124008 | + | 0.0145538i | ||||
\(307\) | 3995.12i | 0.742715i | 0.928490 | + | 0.371357i | \(0.121107\pi\) | ||||
−0.928490 | + | 0.371357i | \(0.878893\pi\) | |||||||
\(308\) | −334.338 | + | 150.750i | −0.0618528 | + | 0.0278889i | ||||
\(309\) | 100.275 | − | 17.2905i | 0.0184610 | − | 0.00318325i | ||||
\(310\) | −1540.56 | − | 2668.33i | −0.282252 | − | 0.488875i | ||||
\(311\) | −256.008 | + | 443.420i | −0.0466782 | + | 0.0808489i | −0.888420 | − | 0.459031i | \(-0.848197\pi\) |
0.841742 | + | 0.539879i | \(0.181530\pi\) | |||||||
\(312\) | −692.059 | − | 254.857i | −0.125577 | − | 0.0462449i | ||||
\(313\) | −1271.68 | + | 734.205i | −0.229647 | + | 0.132587i | −0.610409 | − | 0.792086i | \(-0.708995\pi\) |
0.380762 | + | 0.924673i | \(0.375662\pi\) | |||||||
\(314\) | 5080.13 | 0.913019 | ||||||||
\(315\) | 2757.38 | − | 9513.83i | 0.493210 | − | 1.70173i | ||||
\(316\) | −1209.52 | −0.215320 | ||||||||
\(317\) | −6545.26 | + | 3778.91i | −1.15968 | + | 0.669542i | −0.951227 | − | 0.308491i | \(-0.900176\pi\) |
−0.208453 | + | 0.978032i | \(0.566843\pi\) | |||||||
\(318\) | −3883.93 | − | 1430.29i | −0.684906 | − | 0.252223i | ||||
\(319\) | 227.766 | − | 394.502i | 0.0399763 | − | 0.0692410i | ||||
\(320\) | 633.883 | + | 1097.92i | 0.110735 | + | 0.191798i | ||||
\(321\) | −2477.50 | + | 427.196i | −0.430780 | + | 0.0742796i | ||||
\(322\) | 3395.19 | − | 4719.73i | 0.587598 | − | 0.816832i | ||||
\(323\) | 183.832i | 0.0316677i | ||||||||
\(324\) | 2724.75 | + | 1038.66i | 0.467206 | + | 0.178097i | ||||
\(325\) | −4108.31 | − | 2371.93i | −0.701194 | − | 0.404835i | ||||
\(326\) | −2989.00 | − | 1725.70i | −0.507809 | − | 0.293183i | ||||
\(327\) | 170.922 | − | 142.323i | 0.0289053 | − | 0.0240687i | ||||
\(328\) | 2749.61i | 0.462871i | ||||||||
\(329\) | 3581.68 | + | 7943.55i | 0.600196 | + | 1.33113i | ||||
\(330\) | −173.176 | − | 1004.33i | −0.0288880 | − | 0.167534i | ||||
\(331\) | −2932.76 | − | 5079.69i | −0.487007 | − | 0.843520i | 0.512882 | − | 0.858459i | \(-0.328578\pi\) |
−0.999888 | + | 0.0149389i | \(0.995245\pi\) | |||||||
\(332\) | 1712.88 | − | 2966.79i | 0.283151 | − | 0.490432i | ||||
\(333\) | 1217.18 | − | 6610.22i | 0.200303 | − | 1.08780i | ||||
\(334\) | −841.121 | + | 485.621i | −0.137797 | + | 0.0795569i | ||||
\(335\) | −4631.12 | −0.755300 | ||||||||
\(336\) | 108.842 | + | 1535.89i | 0.0176721 | + | 0.249375i | ||||
\(337\) | −8489.10 | −1.37220 | −0.686099 | − | 0.727508i | \(-0.740678\pi\) | ||||
−0.686099 | + | 0.727508i | \(0.740678\pi\) | |||||||
\(338\) | 3260.14 | − | 1882.24i | 0.524640 | − | 0.302901i | ||||
\(339\) | −679.397 | + | 1844.89i | −0.108849 | + | 0.295577i | ||||
\(340\) | 75.0891 | − | 130.058i | 0.0119773 | − | 0.0207453i | ||||
\(341\) | −192.511 | − | 333.439i | −0.0305720 | − | 0.0529523i | ||||
\(342\) | 4935.07 | − | 1754.07i | 0.780287 | − | 0.277336i | ||||
\(343\) | 6068.70 | + | 1877.35i | 0.955333 | + | 0.295531i | ||||
\(344\) | 196.687i | 0.0308275i | ||||||||
\(345\) | 10338.2 | + | 12415.6i | 1.61331 | + | 1.93749i | ||||
\(346\) | 2516.85 | + | 1453.10i | 0.391060 | + | 0.225779i | ||||
\(347\) | −968.873 | − | 559.379i | −0.149890 | − | 0.0865390i | 0.423179 | − | 0.906046i | \(-0.360914\pi\) |
−0.573069 | + | 0.819507i | \(0.694247\pi\) | |||||||
\(348\) | −1223.76 | − | 1469.68i | −0.188507 | − | 0.226388i | ||||
\(349\) | − | 2364.44i | − | 0.362652i | −0.983423 | − | 0.181326i | \(-0.941961\pi\) | ||
0.983423 | − | 0.181326i | \(-0.0580389\pi\) | |||||||
\(350\) | −988.817 | + | 9854.80i | −0.151013 | + | 1.50503i | ||||
\(351\) | 2169.55 | − | 1219.99i | 0.329921 | − | 0.185522i | ||||
\(352\) | 79.2110 | + | 137.198i | 0.0119942 | + | 0.0207746i | ||||
\(353\) | −1411.12 | + | 2444.13i | −0.212766 | + | 0.368522i | −0.952579 | − | 0.304291i | \(-0.901581\pi\) |
0.739813 | + | 0.672812i | \(0.234914\pi\) | |||||||
\(354\) | 2410.24 | − | 6544.95i | 0.361872 | − | 0.982656i | ||||
\(355\) | 2611.41 | − | 1507.70i | 0.390421 | − | 0.225410i | ||||
\(356\) | −3628.61 | −0.540214 | ||||||||
\(357\) | 151.118 | − | 102.136i | 0.0224034 | − | 0.0151418i | ||||
\(358\) | −2539.04 | −0.374839 | ||||||||
\(359\) | 4504.97 | − | 2600.95i | 0.662293 | − | 0.382375i | −0.130857 | − | 0.991401i | \(-0.541773\pi\) |
0.793150 | + | 0.609026i | \(0.208440\pi\) | |||||||
\(360\) | −4207.97 | − | 774.837i | −0.616054 | − | 0.113438i | ||||
\(361\) | 1274.15 | − | 2206.89i | 0.185763 | − | 0.321751i | ||||
\(362\) | −3289.26 | − | 5697.16i | −0.477568 | − | 0.827171i | ||||
\(363\) | 1153.56 | + | 6690.00i | 0.166794 | + | 0.967311i | ||||
\(364\) | 1066.92 | + | 767.502i | 0.153631 | + | 0.110517i | ||||
\(365\) | − | 12349.2i | − | 1.77092i | ||||||
\(366\) | 2523.99 | − | 2101.67i | 0.360468 | − | 0.300153i | ||||
\(367\) | −4876.42 | − | 2815.40i | −0.693589 | − | 0.400444i | 0.111366 | − | 0.993779i | \(-0.464477\pi\) |
−0.804955 | + | 0.593336i | \(0.797811\pi\) | |||||||
\(368\) | −2174.96 | − | 1255.72i | −0.308092 | − | 0.177877i | ||||
\(369\) | −7063.52 | − | 6018.61i | −0.996510 | − | 0.849096i | ||||
\(370\) | 9862.38i | 1.38573i | ||||||||
\(371\) | 5987.71 | + | 4307.33i | 0.837915 | + | 0.602764i | ||||
\(372\) | −1592.94 | + | 274.672i | −0.222017 | + | 0.0382824i | ||||
\(373\) | −3422.23 | − | 5927.47i | −0.475057 | − | 0.822822i | 0.524535 | − | 0.851389i | \(-0.324239\pi\) |
−0.999592 | + | 0.0285664i | \(0.990906\pi\) | |||||||
\(374\) | 9.38325 | − | 16.2523i | 0.00129732 | − | 0.00224702i | ||||
\(375\) | −13753.3 | − | 5064.77i | −1.89391 | − | 0.697449i | ||||
\(376\) | 3259.69 | − | 1881.98i | 0.447089 | − | 0.258127i | ||||
\(377\) | −1632.45 | −0.223012 | ||||||||
\(378\) | −4183.83 | − | 3082.31i | −0.569294 | − | 0.419410i | ||||
\(379\) | 5690.62 | 0.771260 | 0.385630 | − | 0.922654i | \(-0.373984\pi\) | ||||
0.385630 | + | 0.922654i | \(0.373984\pi\) | |||||||
\(380\) | −6655.52 | + | 3842.57i | −0.898477 | + | 0.518736i | ||||
\(381\) | −550.042 | − | 202.558i | −0.0739619 | − | 0.0272371i | ||||
\(382\) | 1978.53 | − | 3426.91i | 0.265001 | − | 0.458995i | ||||
\(383\) | −2151.66 | − | 3726.78i | −0.287062 | − | 0.497206i | 0.686045 | − | 0.727559i | \(-0.259345\pi\) |
−0.973107 | + | 0.230353i | \(0.926012\pi\) | |||||||
\(384\) | 655.435 | − | 113.017i | 0.0871029 | − | 0.0150192i | ||||
\(385\) | −181.328 | + | 1807.16i | −0.0240035 | + | 0.239225i | ||||
\(386\) | − | 1839.69i | − | 0.242585i | ||||||
\(387\) | −505.273 | − | 430.528i | −0.0663682 | − | 0.0565504i | ||||
\(388\) | −243.779 | − | 140.746i | −0.0318970 | − | 0.0184157i | ||||
\(389\) | 6143.61 | + | 3547.01i | 0.800754 | + | 0.462315i | 0.843735 | − | 0.536760i | \(-0.180352\pi\) |
−0.0429809 | + | 0.999076i | \(0.513685\pi\) | |||||||
\(390\) | −2806.63 | + | 2337.01i | −0.364408 | + | 0.303434i | ||||
\(391\) | 297.501i | 0.0384790i | ||||||||
\(392\) | 545.170 | − | 2689.30i | 0.0702429 | − | 0.346505i | ||||
\(393\) | −1396.69 | − | 8100.02i | −0.179271 | − | 1.03967i | ||||
\(394\) | 3061.98 | + | 5303.51i | 0.391524 | + | 0.678139i | ||||
\(395\) | −2994.91 | + | 5187.34i | −0.381494 | + | 0.660768i | ||||
\(396\) | −525.834 | − | 96.8249i | −0.0667277 | − | 0.0122870i | ||||
\(397\) | 3898.27 | − | 2250.67i | 0.492817 | − | 0.284528i | −0.232925 | − | 0.972495i | \(-0.574830\pi\) |
0.725742 | + | 0.687967i | \(0.241496\pi\) | |||||||
\(398\) | −1042.91 | −0.131347 | ||||||||
\(399\) | −9310.51 | + | 659.797i | −1.16819 | + | 0.0827848i | ||||
\(400\) | 4278.25 | 0.534781 | ||||||||
\(401\) | −6038.64 | + | 3486.41i | −0.752008 | + | 0.434172i | −0.826419 | − | 0.563055i | \(-0.809626\pi\) |
0.0744107 | + | 0.997228i | \(0.476292\pi\) | |||||||
\(402\) | −839.608 | + | 2279.94i | −0.104169 | + | 0.282868i | ||||
\(403\) | −689.886 | + | 1194.92i | −0.0852746 | + | 0.147700i | ||||
\(404\) | 477.094 | + | 826.351i | 0.0587533 | + | 0.101764i | ||||
\(405\) | 11201.3 | − | 9113.89i | 1.37432 | − | 1.11820i | ||||
\(406\) | 1400.92 | + | 3107.01i | 0.171248 | + | 0.379799i | ||||
\(407\) | 1232.42i | 0.150095i | ||||||||
\(408\) | −50.4153 | − | 60.5461i | −0.00611747 | − | 0.00734676i | ||||
\(409\) | 12431.9 | + | 7177.56i | 1.50298 | + | 0.867745i | 0.999994 | + | 0.00344923i | \(0.00109793\pi\) |
0.502984 | + | 0.864296i | \(0.332235\pi\) | |||||||
\(410\) | 11792.4 | + | 6808.32i | 1.42045 | + | 0.820095i | ||||
\(411\) | 6132.60 | + | 7364.93i | 0.736007 | + | 0.883905i | ||||
\(412\) | 78.3311i | 0.00936674i | ||||||||
\(413\) | −7258.43 | + | 10090.1i | −0.864804 | + | 1.20218i | ||||
\(414\) | 7986.61 | − | 2838.67i | 0.948117 | − | 0.336988i | ||||
\(415\) | −8482.52 | − | 14692.2i | −1.00335 | − | 1.73785i | ||||
\(416\) | 283.862 | − | 491.663i | 0.0334554 | − | 0.0579465i | ||||
\(417\) | −100.317 | + | 272.410i | −0.0117807 | + | 0.0319903i | ||||
\(418\) | −831.685 | + | 480.173i | −0.0973183 | + | 0.0561867i | ||||
\(419\) | 14839.8 | 1.73024 | 0.865122 | − | 0.501562i | \(-0.167241\pi\) | ||||
0.865122 | + | 0.501562i | \(0.167241\pi\) | |||||||
\(420\) | 6856.56 | + | 3336.24i | 0.796585 | + | 0.387600i | ||||
\(421\) | −11073.0 | −1.28187 | −0.640935 | − | 0.767595i | \(-0.721453\pi\) | ||||
−0.640935 | + | 0.767595i | \(0.721453\pi\) | |||||||
\(422\) | 172.562 | − | 99.6288i | 0.0199057 | − | 0.0114925i | ||||
\(423\) | −2300.47 | + | 12493.3i | −0.264427 | + | 1.43604i | ||||
\(424\) | 1593.07 | − | 2759.28i | 0.182468 | − | 0.316044i | ||||
\(425\) | −253.398 | − | 438.899i | −0.0289215 | − | 0.0500934i | ||||
\(426\) | −268.812 | − | 1558.96i | −0.0305728 | − | 0.177305i | ||||
\(427\) | −5335.92 | + | 2405.92i | −0.604738 | + | 0.272671i | ||||
\(428\) | − | 1935.32i | − | 0.218569i | ||||||
\(429\) | −350.721 | + | 292.037i | −0.0394707 | + | 0.0328663i | ||||
\(430\) | 843.540 | + | 487.018i | 0.0946026 | + | 0.0546189i | ||||
\(431\) | −5552.06 | − | 3205.49i | −0.620495 | − | 0.358243i | 0.156566 | − | 0.987667i | \(-0.449957\pi\) |
−0.777062 | + | 0.629424i | \(0.783291\pi\) | |||||||
\(432\) | −1144.35 | + | 1931.14i | −0.127448 | + | 0.215074i | ||||
\(433\) | − | 12881.0i | − | 1.42961i | −0.699322 | − | 0.714807i | \(-0.746514\pi\) | ||
0.699322 | − | 0.714807i | \(-0.253486\pi\) | |||||||
\(434\) | 2866.30 | + | 287.601i | 0.317021 | + | 0.0318094i | ||||
\(435\) | −9333.23 | + | 1609.33i | −1.02872 | + | 0.177383i | ||||
\(436\) | 85.6091 | + | 148.279i | 0.00940352 | + | 0.0162874i | ||||
\(437\) | 7612.09 | − | 13184.5i | 0.833262 | − | 1.44325i | ||||
\(438\) | −6079.62 | − | 2238.87i | −0.663232 | − | 0.244241i | ||||
\(439\) | −8024.85 | + | 4633.15i | −0.872449 | + | 0.503709i | −0.868161 | − | 0.496282i | \(-0.834698\pi\) |
−0.00428790 | + | 0.999991i | \(0.501365\pi\) | |||||||
\(440\) | 784.540 | 0.0850033 | ||||||||
\(441\) | 5715.27 | + | 7287.10i | 0.617133 | + | 0.786859i | ||||
\(442\) | −67.2519 | −0.00723721 | ||||||||
\(443\) | −7691.54 | + | 4440.71i | −0.824912 | + | 0.476263i | −0.852108 | − | 0.523367i | \(-0.824676\pi\) |
0.0271952 | + | 0.999630i | \(0.491342\pi\) | |||||||
\(444\) | 4855.33 | + | 1788.02i | 0.518973 | + | 0.191116i | ||||
\(445\) | −8984.83 | + | 15562.2i | −0.957128 | + | 1.65779i | ||||
\(446\) | 1782.29 | + | 3087.02i | 0.189224 | + | 0.327746i | ||||
\(447\) | 17449.7 | − | 3008.86i | 1.84640 | − | 0.318376i | ||||
\(448\) | −1179.37 | − | 118.337i | −0.124375 | − | 0.0124797i | ||||
\(449\) | 6080.93i | 0.639147i | 0.947562 | + | 0.319573i | \(0.103540\pi\) | ||||
−0.947562 | + | 0.319573i | \(0.896460\pi\) | |||||||
\(450\) | −9364.65 | + | 10990.5i | −0.981009 | + | 1.15132i | ||||
\(451\) | 1473.59 | + | 850.778i | 0.153855 | + | 0.0888283i | ||||
\(452\) | −1310.67 | − | 756.718i | −0.136391 | − | 0.0787457i | ||||
\(453\) | 13000.6 | − | 10825.3i | 1.34839 | − | 1.12277i | ||||
\(454\) | − | 6886.30i | − | 0.711873i | ||||||
\(455\) | 5933.43 | − | 2675.33i | 0.611348 | − | 0.275652i | ||||
\(456\) | 685.103 | + | 3973.21i | 0.0703572 | + | 0.408033i | ||||
\(457\) | −278.827 | − | 482.943i | −0.0285404 | − | 0.0494335i | 0.851402 | − | 0.524513i | \(-0.175753\pi\) |
−0.879943 | + | 0.475080i | \(0.842419\pi\) | |||||||
\(458\) | −5434.92 | + | 9413.55i | −0.554491 | + | 0.960407i | ||||
\(459\) | 265.892 | + | 3.01657i | 0.0270387 | + | 0.000306757i | ||||
\(460\) | −10770.9 | + | 6218.57i | −1.09173 | + | 0.630309i | ||||
\(461\) | −7422.24 | −0.749866 | −0.374933 | − | 0.927052i | \(-0.622334\pi\) | ||||
−0.374933 | + | 0.927052i | \(0.622334\pi\) | |||||||
\(462\) | 856.806 | + | 416.902i | 0.0862819 | + | 0.0419827i | ||||
\(463\) | 10478.8 | 1.05182 | 0.525908 | − | 0.850541i | \(-0.323726\pi\) | ||||
0.525908 | + | 0.850541i | \(0.323726\pi\) | |||||||
\(464\) | 1274.98 | − | 736.110i | 0.127564 | − | 0.0736488i | ||||
\(465\) | −2766.30 | + | 7511.83i | −0.275880 | + | 0.749146i | ||||
\(466\) | 4405.56 | − | 7630.65i | 0.437948 | − | 0.758548i | ||||
\(467\) | −4708.74 | − | 8155.78i | −0.466584 | − | 0.808147i | 0.532688 | − | 0.846312i | \(-0.321182\pi\) |
−0.999271 | + | 0.0381650i | \(0.987849\pi\) | |||||||
\(468\) | 641.697 | + | 1805.42i | 0.0633813 | + | 0.178324i | ||||
\(469\) | 2528.48 | − | 3514.90i | 0.248943 | − | 0.346062i | ||||
\(470\) | − | 18639.9i | − | 1.82935i | ||||||
\(471\) | −8445.57 | − | 10142.7i | −0.826224 | − | 0.992251i | ||||
\(472\) | 4649.76 | + | 2684.54i | 0.453438 | + | 0.261792i | ||||
\(473\) | 105.410 | + | 60.8586i | 0.0102469 | + | 0.00591603i | ||||
\(474\) | 2010.80 | + | 2414.87i | 0.194851 | + | 0.234005i | ||||
\(475\) | 25934.5i | 2.50517i | ||||||||
\(476\) | 57.7137 | + | 127.999i | 0.00555736 | + | 0.0123253i | ||||
\(477\) | 3601.30 | + | 10132.3i | 0.345686 | + | 0.972588i | ||||
\(478\) | 2020.29 | + | 3499.25i | 0.193318 | + | 0.334837i | ||||
\(479\) | 5303.15 | − | 9185.32i | 0.505860 | − | 0.876176i | −0.494117 | − | 0.869396i | \(-0.664508\pi\) |
0.999977 | − | 0.00678003i | \(-0.00215817\pi\) | |||||||
\(480\) | 1138.23 | − | 3090.83i | 0.108235 | − | 0.293910i | ||||
\(481\) | 3824.81 | − | 2208.25i | 0.362570 | − | 0.209330i | ||||
\(482\) | −4542.17 | −0.429232 | ||||||||
\(483\) | −15067.5 | + | 1067.77i | −1.41946 | + | 0.100591i | ||||
\(484\) | −5225.96 | −0.490793 | ||||||||
\(485\) | −1207.25 | + | 697.005i | −0.113027 | + | 0.0652564i | ||||
\(486\) | −2456.08 | − | 7166.82i | −0.229239 | − | 0.668917i | ||||
\(487\) | 6387.19 | − | 11062.9i | 0.594314 | − | 1.02938i | −0.399329 | − | 0.916808i | \(-0.630757\pi\) |
0.993643 | − | 0.112575i | \(-0.0359098\pi\) | |||||||
\(488\) | 1264.18 | + | 2189.63i | 0.117268 | + | 0.203114i | ||||
\(489\) | 1523.70 | + | 8836.61i | 0.140908 | + | 0.817188i | ||||
\(490\) | −10183.8 | − | 8997.08i | −0.938893 | − | 0.829483i | ||||
\(491\) | − | 18689.8i | − | 1.71784i | −0.512110 | − | 0.858920i | \(-0.671136\pi\) | ||
0.512110 | − | 0.858920i | \(-0.328864\pi\) | |||||||
\(492\) | 5489.71 | − | 4571.15i | 0.503039 | − | 0.418868i | ||||
\(493\) | −151.033 | − | 87.1988i | −0.0137975 | − | 0.00796600i | ||||
\(494\) | 2980.44 | + | 1720.76i | 0.271450 | + | 0.156722i | ||||
\(495\) | −1717.28 | + | 2015.42i | −0.155931 | + | 0.183003i | ||||
\(496\) | − | 1244.34i | − | 0.112647i | ||||||
\(497\) | −281.466 | + | 2805.16i | −0.0254033 | + | 0.253176i | ||||
\(498\) | −8770.93 | + | 1512.37i | −0.789226 | + | 0.136087i | ||||
\(499\) | 6862.74 | + | 11886.6i | 0.615668 | + | 1.06637i | 0.990267 | + | 0.139182i | \(0.0444471\pi\) |
−0.374599 | + | 0.927187i | \(0.622220\pi\) | |||||||
\(500\) | 5641.18 | − | 9770.82i | 0.504563 | − | 0.873928i | ||||
\(501\) | 2367.90 | + | 872.001i | 0.211158 | + | 0.0777608i | ||||
\(502\) | −7817.62 | + | 4513.50i | −0.695055 | + | 0.401290i | ||||
\(503\) | −5480.28 | −0.485793 | −0.242896 | − | 0.970052i | \(-0.578098\pi\) | ||||
−0.242896 | + | 0.970052i | \(0.578098\pi\) | |||||||
\(504\) | 2885.53 | − | 2770.69i | 0.255023 | − | 0.244874i | ||||
\(505\) | 4725.34 | 0.416386 | ||||||||
\(506\) | −1345.95 | + | 777.082i | −0.118250 | + | 0.0682718i | ||||
\(507\) | −9177.88 | − | 3379.83i | −0.803953 | − | 0.296063i | ||||
\(508\) | 225.610 | − | 390.769i | 0.0197044 | − | 0.0341290i | ||||
\(509\) | 5331.28 | + | 9234.05i | 0.464253 | + | 0.804111i | 0.999168 | − | 0.0407959i | \(-0.0129893\pi\) |
−0.534914 | + | 0.844906i | \(0.679656\pi\) | |||||||
\(510\) | −384.500 | + | 66.2996i | −0.0333842 | + | 0.00575646i | ||||
\(511\) | 9372.71 | + | 6742.37i | 0.811398 | + | 0.583689i | ||||
\(512\) | 512.000i | 0.0441942i | ||||||||
\(513\) | −11706.5 | − | 6936.99i | −1.00751 | − | 0.597029i | ||||
\(514\) | −10286.0 | − | 5938.61i | −0.882675 | − | 0.509613i | ||||
\(515\) | 335.942 | + | 193.956i | 0.0287444 | + | 0.0165956i | ||||
\(516\) | 392.694 | − | 326.987i | 0.0335027 | − | 0.0278969i | ||||
\(517\) | − | 2329.28i | − | 0.198146i | ||||||
\(518\) | −7485.27 | − | 5384.62i | −0.634911 | − | 0.456731i | ||||
\(519\) | −1283.01 | − | 7440.75i | −0.108512 | − | 0.629311i | ||||
\(520\) | −1405.74 | − | 2434.82i | −0.118550 | − | 0.205334i | ||||
\(521\) | 5750.00 | − | 9959.29i | 0.483517 | − | 0.837475i | −0.516304 | − | 0.856405i | \(-0.672693\pi\) |
0.999821 | + | 0.0189300i | \(0.00602596\pi\) | |||||||
\(522\) | −899.796 | + | 4886.59i | −0.0754464 | + | 0.409732i | ||||
\(523\) | 8319.57 | − | 4803.31i | 0.695582 | − | 0.401594i | −0.110118 | − | 0.993919i | \(-0.535123\pi\) |
0.805700 | + | 0.592324i | \(0.201789\pi\) | |||||||
\(524\) | 6327.42 | 0.527508 | ||||||||
\(525\) | 21319.4 | − | 14409.1i | 1.77230 | − | 1.19784i | ||||
\(526\) | 10917.0 | 0.904951 | ||||||||
\(527\) | −127.655 | + | 73.7018i | −0.0105517 | + | 0.00609203i | ||||
\(528\) | 142.235 | − | 386.235i | 0.0117234 | − | 0.0318347i | ||||
\(529\) | 6235.42 | − | 10800.1i | 0.512486 | − | 0.887653i | ||||
\(530\) | −7889.23 | − | 13664.5i | −0.646578 | − | 1.11991i | ||||
\(531\) | −17074.2 | + | 6068.67i | −1.39540 | + | 0.495966i | ||||
\(532\) | 717.352 | − | 7149.31i | 0.0584608 | − | 0.582635i | ||||
\(533\) | − | 6097.72i | − | 0.495538i | ||||||
\(534\) | 6032.47 | + | 7244.68i | 0.488859 | + | 0.587094i | ||||
\(535\) | −8300.10 | − | 4792.07i | −0.670738 | − | 0.387251i | ||||
\(536\) | −1619.75 | − | 935.163i | −0.130527 | − | 0.0753599i | ||||
\(537\) | 4221.08 | + | 5069.30i | 0.339205 | + | 0.407368i | ||||
\(538\) | − | 10569.8i | − | 0.847022i | ||||||
\(539\) | −1272.58 | − | 1124.29i | −0.101696 | − | 0.0898452i | ||||
\(540\) | 5448.64 | + | 9689.54i | 0.434208 | + | 0.772169i | ||||
\(541\) | 8782.28 | + | 15211.3i | 0.697929 | + | 1.20885i | 0.969183 | + | 0.246341i | \(0.0792282\pi\) |
−0.271254 | + | 0.962508i | \(0.587438\pi\) | |||||||
\(542\) | −6277.80 | + | 10873.5i | −0.497518 | + | 0.861726i | ||||
\(543\) | −5906.32 | + | 16038.5i | −0.466785 | + | 1.26755i | ||||
\(544\) | 52.5253 | − | 30.3255i | 0.00413971 | − | 0.00239006i | ||||
\(545\) | 847.909 | 0.0666430 | ||||||||
\(546\) | −241.376 | − | 3406.10i | −0.0189193 | − | 0.266974i | ||||
\(547\) | −14541.1 | −1.13662 | −0.568311 | − | 0.822814i | \(-0.692403\pi\) | ||||
−0.568311 | + | 0.822814i | \(0.692403\pi\) | |||||||
\(548\) | −6389.26 | + | 3688.84i | −0.498058 | + | 0.287554i | ||||
\(549\) | −8392.14 | − | 1545.29i | −0.652400 | − | 0.120130i | ||||
\(550\) | 1323.77 | − | 2292.83i | 0.102628 | − | 0.177758i | ||||
\(551\) | 4462.26 | + | 7728.87i | 0.345007 | + | 0.597570i | ||||
\(552\) | 1108.73 | + | 6430.00i | 0.0854902 | + | 0.495795i | ||||
\(553\) | −2301.90 | − | 5105.22i | −0.177010 | − | 0.392578i | ||||
\(554\) | 14992.7i | 1.14978i | ||||||||
\(555\) | 19690.7 | − | 16395.9i | 1.50599 | − | 1.25400i | ||||
\(556\) | −193.529 | − | 111.734i | −0.0147616 | − | 0.00852263i | ||||
\(557\) | −11945.8 | − | 6896.92i | −0.908726 | − | 0.524653i | −0.0287052 | − | 0.999588i | \(-0.509138\pi\) |
−0.880021 | + | 0.474935i | \(0.842472\pi\) | |||||||
\(558\) | 3196.62 | + | 2723.74i | 0.242515 | + | 0.206640i | ||||
\(559\) | − | 436.187i | − | 0.0330031i | ||||||
\(560\) | −3427.77 | + | 4765.02i | −0.258660 | + | 0.359569i | ||||
\(561\) | −48.0478 | + | 8.28490i | −0.00361600 | + | 0.000623509i | ||||
\(562\) | 745.889 | + | 1291.92i | 0.0559847 | + | 0.0969684i | ||||
\(563\) | −4598.06 | + | 7964.08i | −0.344201 | + | 0.596174i | −0.985208 | − | 0.171361i | \(-0.945184\pi\) |
0.641007 | + | 0.767535i | \(0.278517\pi\) | |||||||
\(564\) | −9176.60 | − | 3379.36i | −0.685114 | − | 0.252299i | ||||
\(565\) | −6490.74 | + | 3747.43i | −0.483305 | + | 0.279036i | ||||
\(566\) | 5266.71 | 0.391124 | ||||||||
\(567\) | 801.543 | + | 13477.5i | 0.0593680 | + | 0.998236i | ||||
\(568\) | 1217.80 | 0.0899608 | ||||||||
\(569\) | 15644.0 | − | 9032.06i | 1.15260 | − | 0.665455i | 0.203082 | − | 0.979162i | \(-0.434904\pi\) |
0.949520 | + | 0.313707i | \(0.101571\pi\) | |||||||
\(570\) | 18736.5 | + | 6899.87i | 1.37682 | + | 0.507024i | ||||
\(571\) | −7626.26 | + | 13209.1i | −0.558930 | + | 0.968095i | 0.438656 | + | 0.898655i | \(0.355455\pi\) |
−0.997586 | + | 0.0694402i | \(0.977879\pi\) | |||||||
\(572\) | −175.664 | − | 304.259i | −0.0128407 | − | 0.0222407i | ||||
\(573\) | −10131.2 | + | 1746.93i | −0.738636 | + | 0.127363i | ||||
\(574\) | −11605.7 | + | 5232.90i | −0.843922 | + | 0.380517i | ||||
\(575\) | 41970.8i | 3.04401i | ||||||||
\(576\) | −1315.29 | − | 1120.72i | −0.0951451 | − | 0.0810704i | ||||
\(577\) | −4709.42 | − | 2718.99i | −0.339785 | − | 0.196175i | 0.320392 | − | 0.947285i | \(-0.396185\pi\) |
−0.660177 | + | 0.751110i | \(0.729519\pi\) | |||||||
\(578\) | 8503.34 | + | 4909.41i | 0.611925 | + | 0.353295i | ||||
\(579\) | −3673.03 | + | 3058.44i | −0.263637 | + | 0.219524i | ||||
\(580\) | − | 7290.75i | − | 0.521951i | ||||||
\(581\) | 15782.2 | + | 1583.56i | 1.12695 | + | 0.113076i | ||||
\(582\) | 124.271 | + | 720.703i | 0.00885087 | + | 0.0513301i | ||||
\(583\) | −985.851 | − | 1707.54i | −0.0700339 | − | 0.121302i | ||||
\(584\) | 2493.68 | − | 4319.17i | 0.176694 | − | 0.306042i | ||||
\(585\) | 9331.88 | + | 1718.33i | 0.659531 | + | 0.121443i | ||||
\(586\) | 1540.42 | − | 889.363i | 0.108591 | − | 0.0626949i | ||||
\(587\) | −23972.1 | −1.68558 | −0.842791 | − | 0.538241i | \(-0.819089\pi\) | ||||
−0.842791 | + | 0.538241i | \(0.819089\pi\) | |||||||
\(588\) | −6275.63 | + | 3382.43i | −0.440140 | + | 0.237226i | ||||
\(589\) | 7543.15 | 0.527691 | ||||||||
\(590\) | 23026.6 | − | 13294.4i | 1.60676 | − | 0.927666i | ||||
\(591\) | 5498.22 | − | 14930.3i | 0.382685 | − | 1.03917i | ||||
\(592\) | −1991.51 | + | 3449.40i | −0.138261 | + | 0.239475i | ||||
\(593\) | −697.071 | − | 1207.36i | −0.0482720 | − | 0.0836095i | 0.840880 | − | 0.541222i | \(-0.182038\pi\) |
−0.889152 | + | 0.457612i | \(0.848705\pi\) | |||||||
\(594\) | 680.870 | + | 1210.82i | 0.0470311 | + | 0.0836373i | ||||
\(595\) | 691.861 | + | 69.4203i | 0.0476698 | + | 0.00478312i | ||||
\(596\) | 13631.0i | 0.936824i | ||||||||
\(597\) | 1733.81 | + | 2082.21i | 0.118861 | + | 0.142746i | ||||
\(598\) | 4823.35 | + | 2784.76i | 0.329835 | + | 0.190430i | ||||
\(599\) | 20811.2 | + | 12015.4i | 1.41957 | + | 0.819591i | 0.996261 | − | 0.0863929i | \(-0.0275340\pi\) |
0.423312 | + | 0.905984i | \(0.360867\pi\) | |||||||
\(600\) | −7112.47 | − | 8541.70i | −0.483942 | − | 0.581189i | ||||
\(601\) | − | 10741.9i | − | 0.729073i | −0.931189 | − | 0.364536i | \(-0.881227\pi\) | ||
0.931189 | − | 0.364536i | \(-0.118773\pi\) | |||||||
\(602\) | −830.186 | + | 374.324i | −0.0562058 | + | 0.0253427i | ||||
\(603\) | 5947.83 | − | 2114.03i | 0.401682 | − | 0.142769i | ||||
\(604\) | 6511.56 | + | 11278.4i | 0.438662 | + | 0.759785i | ||||
\(605\) | −12940.0 | + | 22412.8i | −0.869566 | + | 1.50613i | ||||
\(606\) | 856.689 | − | 2326.33i | 0.0574268 | − | 0.155941i | ||||
\(607\) | 23506.4 | − | 13571.4i | 1.57182 | − | 0.907492i | 0.575876 | − | 0.817537i | \(-0.304661\pi\) |
0.995946 | − | 0.0899549i | \(-0.0286723\pi\) | |||||||
\(608\) | −3103.72 | −0.207027 | ||||||||
\(609\) | 3874.28 | − | 7962.32i | 0.257789 | − | 0.529802i | ||||
\(610\) | 12521.0 | 0.831082 | ||||||||
\(611\) | −7228.91 | + | 4173.61i | −0.478642 | + | 0.276344i | ||||
\(612\) | −37.0688 | + | 201.313i | −0.00244840 | + | 0.0132967i | ||||
\(613\) | −14388.2 | + | 24921.1i | −0.948015 | + | 1.64201i | −0.198415 | + | 0.980118i | \(0.563579\pi\) |
−0.749600 | + | 0.661891i | \(0.769754\pi\) | |||||||
\(614\) | 3995.12 | + | 6919.75i | 0.262589 | + | 0.454818i | ||||
\(615\) | −6011.37 | − | 34862.6i | −0.394149 | − | 2.28585i | ||||
\(616\) | −428.340 | + | 595.444i | −0.0280167 | + | 0.0389466i | ||||
\(617\) | 2160.03i | 0.140939i | 0.997514 | + | 0.0704697i | \(0.0224498\pi\) | ||||
−0.997514 | + | 0.0704697i | \(0.977550\pi\) | |||||||
\(618\) | 156.391 | − | 130.223i | 0.0101796 | − | 0.00847629i | ||||
\(619\) | 2505.32 | + | 1446.45i | 0.162677 | + | 0.0939218i | 0.579128 | − | 0.815236i | \(-0.303393\pi\) |
−0.416451 | + | 0.909158i | \(0.636726\pi\) | |||||||
\(620\) | −5336.67 | − | 3081.13i | −0.345687 | − | 0.199582i | ||||
\(621\) | −18945.0 | − | 11226.4i | −1.22422 | − | 0.725442i | ||||
\(622\) | 1024.03i | 0.0660129i | ||||||||
\(623\) | −6905.77 | − | 15315.8i | −0.444099 | − | 0.984936i | ||||
\(624\) | −1453.54 | + | 250.634i | −0.0932502 | + | 0.0160792i | ||||
\(625\) | −11224.4 | − | 19441.3i | −0.718364 | − | 1.24424i | ||||
\(626\) | −1468.41 | + | 2543.36i | −0.0937532 | + | 0.162385i | ||||
\(627\) | 2341.34 | + | 862.219i | 0.149129 | + | 0.0549182i | ||||
\(628\) | 8799.03 | − | 5080.13i | 0.559108 | − | 0.322801i | ||||
\(629\) | 471.824 | 0.0299092 | ||||||||
\(630\) | −4737.90 | − | 19235.8i | −0.299623 | − | 1.21647i | ||||
\(631\) | −13779.4 | −0.869335 | −0.434667 | − | 0.900591i | \(-0.643134\pi\) | ||||
−0.434667 | + | 0.900591i | \(0.643134\pi\) | |||||||
\(632\) | −2094.96 | + | 1209.52i | −0.131856 | + | 0.0761270i | ||||
\(633\) | −485.793 | − | 178.898i | −0.0305032 | − | 0.0112331i | ||||
\(634\) | −7557.82 | + | 13090.5i | −0.473437 | + | 0.820018i | ||||
\(635\) | −1117.27 | − | 1935.17i | −0.0698229 | − | 0.120937i | ||||
\(636\) | −8157.46 | + | 1406.60i | −0.508592 | + | 0.0876967i | ||||
\(637\) | −1209.01 | + | 5963.98i | −0.0752002 | + | 0.370960i | ||||
\(638\) | − | 911.063i | − | 0.0565350i | ||||||
\(639\) | −2665.64 | + | 3128.43i | −0.165025 | + | 0.193676i | ||||
\(640\) | 2195.84 | + | 1267.77i | 0.135622 | + | 0.0783013i | ||||
\(641\) | −12252.1 | − | 7073.73i | −0.754957 | − | 0.435875i | 0.0725251 | − | 0.997367i | \(-0.476894\pi\) |
−0.827482 | + | 0.561492i | \(0.810228\pi\) | |||||||
\(642\) | −3863.96 | + | 3217.42i | −0.237536 | + | 0.197791i | ||||
\(643\) | 4248.35i | 0.260557i | 0.991477 | + | 0.130279i | \(0.0415872\pi\) | ||||
−0.991477 | + | 0.130279i | \(0.958413\pi\) | |||||||
\(644\) | 1160.92 | − | 11570.0i | 0.0710350 | − | 0.707953i | ||||
\(645\) | −430.010 | − | 2493.82i | −0.0262506 | − | 0.152239i | ||||
\(646\) | 183.832 | + | 318.406i | 0.0111962 | + | 0.0193924i | ||||
\(647\) | 8314.83 | − | 14401.7i | 0.505239 | − | 0.875100i | −0.494742 | − | 0.869040i | \(-0.664738\pi\) |
0.999982 | − | 0.00606041i | \(-0.00192910\pi\) | |||||||
\(648\) | 5758.06 | − | 925.728i | 0.349071 | − | 0.0561204i | ||||
\(649\) | 2877.44 | − | 1661.29i | 0.174036 | − | 0.100480i | ||||
\(650\) | −9487.74 | −0.572523 | ||||||||
\(651\) | −4190.94 | − | 6200.83i | −0.252313 | − | 0.373317i | ||||
\(652\) | −6902.81 | −0.414624 | ||||||||
\(653\) | 26164.5 | − | 15106.1i | 1.56798 | − | 0.905276i | 0.571581 | − | 0.820546i | \(-0.306330\pi\) |
0.996404 | − | 0.0847307i | \(-0.0270030\pi\) | |||||||
\(654\) | 153.723 | − | 417.433i | 0.00919121 | − | 0.0249586i | ||||
\(655\) | 15667.4 | − | 27136.7i | 0.934617 | − | 1.61880i | ||||
\(656\) | 2749.61 | + | 4762.46i | 0.163650 | + | 0.283449i | ||||
\(657\) | 5637.20 | + | 15860.3i | 0.334746 | + | 0.941809i | ||||
\(658\) | 14147.2 | + | 10177.0i | 0.838169 | + | 0.602947i | ||||
\(659\) | − | 533.821i | − | 0.0315549i | −0.999876 | − | 0.0157775i | \(-0.994978\pi\) | ||
0.999876 | − | 0.0157775i | \(-0.00502233\pi\) | |||||||
\(660\) | −1304.28 | − | 1566.37i | −0.0769226 | − | 0.0923799i | ||||
\(661\) | −6638.24 | − | 3832.59i | −0.390617 | − | 0.225523i | 0.291811 | − | 0.956476i | \(-0.405742\pi\) |
−0.682427 | + | 0.730954i | \(0.739076\pi\) | |||||||
\(662\) | −10159.4 | − | 5865.53i | −0.596459 | − | 0.344366i | ||||
\(663\) | 111.804 | + | 134.271i | 0.00654921 | + | 0.00786526i | ||||
\(664\) | − | 6851.50i | − | 0.400436i | ||||||
\(665\) | −28885.3 | − | 20779.0i | −1.68440 | − | 1.21169i | ||||
\(666\) | −4502.00 | − | 12666.4i | −0.261936 | − | 0.736957i | ||||
\(667\) | 7221.45 | + | 12507.9i | 0.419214 | + | 0.726099i | ||||
\(668\) | −971.243 | + | 1682.24i | −0.0562552 | + | 0.0974369i | ||||
\(669\) | 3200.35 | − | 8690.50i | 0.184952 | − | 0.502234i | ||||
\(670\) | −8021.34 | + | 4631.12i | −0.462525 | + | 0.267039i | ||||
\(671\) | 1564.64 | 0.0900184 | ||||||||
\(672\) | 1724.41 | + | 2551.40i | 0.0989892 | + | 0.146462i | ||||
\(673\) | −28054.4 | −1.60686 | −0.803430 | − | 0.595400i | \(-0.796994\pi\) | ||||
−0.803430 | + | 0.595400i | \(0.796994\pi\) | |||||||
\(674\) | −14703.5 | + | 8489.10i | −0.840296 | + | 0.485145i | ||||
\(675\) | 37511.4 | + | 425.570i | 2.13899 | + | 0.0242670i | ||||
\(676\) | 3764.49 | − | 6520.29i | 0.214183 | − | 0.370977i | ||||
\(677\) | 5256.30 | + | 9104.19i | 0.298399 | + | 0.516842i | 0.975770 | − | 0.218799i | \(-0.0702140\pi\) |
−0.677371 | + | 0.735642i | \(0.736881\pi\) | |||||||
\(678\) | 668.141 | + | 3874.84i | 0.0378463 | + | 0.219487i | ||||
\(679\) | 130.121 | − | 1296.82i | 0.00735431 | − | 0.0732949i | ||||
\(680\) | − | 300.356i | − | 0.0169384i | ||||||
\(681\) | −13748.8 | + | 11448.3i | −0.773649 | + | 0.644199i | ||||
\(682\) | −666.878 | − | 385.022i | −0.0374430 | − | 0.0216177i | ||||
\(683\) | 15679.7 | + | 9052.66i | 0.878427 | + | 0.507160i | 0.870140 | − | 0.492805i | \(-0.164029\pi\) |
0.00828788 | + | 0.999966i | \(0.497362\pi\) | |||||||
\(684\) | 6793.73 | − | 7973.20i | 0.379773 | − | 0.445706i | ||||
\(685\) | 36535.8i | 2.03790i | ||||||||
\(686\) | 12388.7 | − | 2817.04i | 0.689506 | − | 0.156786i | ||||
\(687\) | 27830.0 | − | 4798.73i | 1.54553 | − | 0.266496i | ||||
\(688\) | 196.687 | + | 340.672i | 0.0108992 | + | 0.0188779i | ||||
\(689\) | −3532.91 | + | 6119.18i | −0.195346 | + | 0.338348i | ||||
\(690\) | 30321.9 | + | 11166.3i | 1.67295 | + | 0.616079i | ||||
\(691\) | 7660.53 | − | 4422.81i | 0.421737 | − | 0.243490i | −0.274083 | − | 0.961706i | \(-0.588374\pi\) |
0.695820 | + | 0.718216i | \(0.255041\pi\) | |||||||
\(692\) | 5812.42 | 0.319299 | ||||||||
\(693\) | −592.055 | − | 2403.74i | −0.0324535 | − | 0.131761i | ||||
\(694\) | −2237.52 | −0.122385 | ||||||||
\(695\) | −958.398 | + | 553.331i | −0.0523080 | + | 0.0302001i | ||||
\(696\) | −3589.30 | − | 1321.79i | −0.195477 | − | 0.0719861i | ||||
\(697\) | 325.715 | − | 564.156i | 0.0177006 | − | 0.0306584i | ||||
\(698\) | −2364.44 | − | 4095.33i | −0.128217 | − | 0.222078i | ||||
\(699\) | −22559.0 | + | 3889.87i | −1.22069 | + | 0.210484i | ||||
\(700\) | 8142.12 | + | 18057.8i | 0.439633 | + | 0.975031i | ||||
\(701\) | 32985.2i | 1.77723i | 0.458658 | + | 0.888613i | \(0.348330\pi\) | ||||
−0.458658 | + | 0.888613i | \(0.651670\pi\) | |||||||
\(702\) | 2537.79 | − | 4282.64i | 0.136443 | − | 0.230253i | ||||
\(703\) | −20910.1 | − | 12072.4i | −1.12182 | − | 0.647682i | ||||
\(704\) | 274.395 | + | 158.422i | 0.0146898 | + | 0.00848119i | ||||
\(705\) | −37215.4 | + | 30988.4i | −1.98811 | + | 1.65545i | ||||
\(706\) | 5644.49i | 0.300897i | ||||||||
\(707\) | −2579.92 | + | 3586.41i | −0.137239 | + | 0.190779i | ||||
\(708\) | −2370.30 | − | 13746.4i | −0.125821 | − | 0.729693i | ||||
\(709\) | −7996.91 | − | 13851.1i | −0.423597 | − | 0.733692i | 0.572691 | − | 0.819771i | \(-0.305899\pi\) |
−0.996288 | + | 0.0860795i | \(0.972566\pi\) | |||||||
\(710\) | 3015.40 | − | 5222.83i | 0.159389 | − | 0.276069i | ||||
\(711\) | 1478.48 | − | 8029.30i | 0.0779851 | − | 0.423520i | ||||
\(712\) | −6284.94 | + | 3628.61i | −0.330812 | + | 0.190994i | ||||
\(713\) | 12207.4 | 0.641191 | ||||||||
\(714\) | 159.608 | − | 328.023i | 0.00836582 | − | 0.0171932i | ||||
\(715\) | −1739.85 | −0.0910024 | ||||||||
\(716\) | −4397.74 | + | 2539.04i | −0.229541 | + | 0.132526i | ||||
\(717\) | 3627.72 | − | 9851.01i | 0.188953 | − | 0.513100i | ||||
\(718\) | 5201.89 | − | 9009.94i | 0.270380 | − | 0.468312i | ||||
\(719\) | −10462.3 | − | 18121.2i | −0.542668 | − | 0.939928i | −0.998750 | − | 0.0499905i | \(-0.984081\pi\) |
0.456082 | − | 0.889938i | \(-0.349252\pi\) | |||||||
\(720\) | −8063.25 | + | 2865.91i | −0.417361 | + | 0.148342i | ||||
\(721\) | −330.623 | + | 149.075i | −0.0170778 | + | 0.00770021i | ||||
\(722\) | − | 5096.59i | − | 0.262708i | ||||||
\(723\) | 7551.23 | + | 9068.63i | 0.388428 | + | 0.466481i | ||||
\(724\) | −11394.3 | − | 6578.51i | −0.584898 | − | 0.337691i | ||||
\(725\) | −21307.4 | − | 12301.8i | −1.09150 | − | 0.630176i | ||||
\(726\) | 8688.02 | + | 10433.9i | 0.444136 | + | 0.533384i | ||||
\(727\) | − | 21598.1i | − | 1.10183i | −0.834562 | − | 0.550915i | \(-0.814279\pi\) | ||
0.834562 | − | 0.550915i | \(-0.185721\pi\) | |||||||
\(728\) | 2615.46 | + | 262.432i | 0.133153 | + | 0.0133604i | ||||
\(729\) | −10225.7 | + | 16818.3i | −0.519519 | + | 0.854459i | ||||
\(730\) | −12349.2 | − | 21389.5i | −0.626116 | − | 1.08446i | ||||
\(731\) | 23.2993 | − | 40.3557i | 0.00117887 | − | 0.00204187i | ||||
\(732\) | 2270.02 | − | 6164.19i | 0.114620 | − | 0.311250i | ||||
\(733\) | 8894.03 | − | 5134.97i | 0.448170 | − | 0.258751i | −0.258887 | − | 0.965908i | \(-0.583356\pi\) |
0.707057 | + | 0.707157i | \(0.250022\pi\) | |||||||
\(734\) | −11261.6 | −0.566313 | ||||||||
\(735\) | −1032.75 | + | 35289.8i | −0.0518278 | + | 1.77100i | ||||
\(736\) | −5022.86 | −0.251556 | ||||||||
\(737\) | −1002.36 | + | 578.713i | −0.0500982 | + | 0.0289242i | ||||
\(738\) | −18253.0 | − | 3361.03i | −0.910436 | − | 0.167644i | ||||
\(739\) | 9022.60 | − | 15627.6i | 0.449123 | − | 0.777903i | −0.549206 | − | 0.835687i | \(-0.685070\pi\) |
0.998329 | + | 0.0577833i | \(0.0184032\pi\) | |||||||
\(740\) | 9862.38 | + | 17082.1i | 0.489930 | + | 0.848584i | ||||
\(741\) | −1519.33 | − | 8811.28i | −0.0753226 | − | 0.436829i | ||||
\(742\) | 14678.4 | + | 1472.81i | 0.726225 | + | 0.0728684i | ||||
\(743\) | − | 29700.6i | − | 1.46650i | −0.679960 | − | 0.733249i | \(-0.738003\pi\) | ||
0.679960 | − | 0.733249i | \(-0.261997\pi\) | |||||||
\(744\) | −2484.39 | + | 2068.69i | −0.122422 | + | 0.101938i | ||||
\(745\) | 58459.8 | + | 33751.8i | 2.87490 | + | 1.65983i | ||||
\(746\) | −11854.9 | − | 6844.45i | −0.581823 | − | 0.335916i | ||||
\(747\) | 17600.9 | + | 14997.2i | 0.862095 | + | 0.734566i | ||||
\(748\) | − | 37.5330i | − | 0.00183468i | ||||||
\(749\) | 8168.70 | − | 3683.20i | 0.398502 | − | 0.179681i | ||||
\(750\) | −28886.2 | + | 4980.85i | −1.40636 | + | 0.242500i | ||||
\(751\) | 9431.09 | + | 16335.1i | 0.458249 | + | 0.793711i | 0.998869 | − | 0.0475563i | \(-0.0151434\pi\) |
−0.540619 | + | 0.841267i | \(0.681810\pi\) | |||||||
\(752\) | 3763.96 | − | 6519.37i | 0.182523 | − | 0.316140i | ||||
\(753\) | 22008.0 | + | 8104.63i | 1.06509 | + | 0.392230i | ||||
\(754\) | −2827.49 | + | 1632.45i | −0.136566 | + | 0.0788465i | ||||
\(755\) | 64493.3 | 3.10881 | ||||||||
\(756\) | −10328.9 | − | 1154.89i | −0.496904 | − | 0.0555593i | ||||
\(757\) | 12141.1 | 0.582929 | 0.291464 | − | 0.956582i | \(-0.405858\pi\) | ||||
0.291464 | + | 0.956582i | \(0.405858\pi\) | |||||||
\(758\) | 9856.44 | − | 5690.62i | 0.472298 | − | 0.272681i | ||||
\(759\) | 3789.08 | + | 1395.36i | 0.181205 | + | 0.0667304i | ||||
\(760\) | −7685.14 | + | 13311.0i | −0.366802 | + | 0.635319i | ||||
\(761\) | 12563.5 | + | 21760.6i | 0.598457 | + | 1.03656i | 0.993049 | + | 0.117702i | \(0.0375526\pi\) |
−0.394592 | + | 0.918856i | \(0.629114\pi\) | |||||||
\(762\) | −1155.26 | + | 199.202i | −0.0549220 | + | 0.00947023i | ||||
\(763\) | −462.938 | + | 643.540i | −0.0219652 | + | 0.0305343i | ||||
\(764\) | − | 7914.12i | − | 0.374768i | ||||||
\(765\) | 771.591 | + | 657.450i | 0.0364666 | + | 0.0310721i | ||||
\(766\) | −7453.57 | − | 4303.32i | −0.351578 | − | 0.202983i | ||||
\(767\) | −10311.6 | − | 5953.43i | −0.485439 | − | 0.280268i | ||||
\(768\) | 1022.23 | − | 851.186i | 0.0480294 | − | 0.0399929i | ||||
\(769\) | − | 23475.2i | − | 1.10083i | −0.834892 | − | 0.550413i | \(-0.814470\pi\) | ||
0.834892 | − | 0.550413i | \(-0.185530\pi\) | |||||||
\(770\) | 1493.09 | + | 3311.42i | 0.0698796 | + | 0.154981i | ||||
\(771\) | 5243.47 | + | 30409.2i | 0.244927 | + | 1.42044i | ||||
\(772\) | −1839.69 | − | 3186.44i | −0.0857669 | − | 0.148553i | ||||
\(773\) | −15695.6 | + | 27185.6i | −0.730313 | + | 1.26494i | 0.226436 | + | 0.974026i | \(0.427292\pi\) |
−0.956749 | + | 0.290913i | \(0.906041\pi\) | |||||||
\(774\) | −1305.69 | − | 240.424i | −0.0606356 | − | 0.0111652i | ||||
\(775\) | −18009.3 | + | 10397.7i | −0.834727 | + | 0.481930i | ||||
\(776\) | −562.985 | −0.0260438 | ||||||||
\(777\) | 1693.44 | + | 23896.5i | 0.0781877 | + | 1.10332i | ||||
\(778\) | 14188.1 | 0.653813 | ||||||||
\(779\) | −28869.8 | + | 16668.0i | −1.32781 | + | 0.766614i | ||||
\(780\) | −2524.21 | + | 6854.45i | −0.115873 | + | 0.314652i | ||||
\(781\) | 376.809 | − | 652.653i | 0.0172641 | − | 0.0299024i | ||||
\(782\) | 297.501 | + | 515.288i | 0.0136044 | + | 0.0235635i | ||||
\(783\) | 11252.2 | − | 6327.35i | 0.513563 | − | 0.288788i | ||||
\(784\) | −1745.04 | − | 5203.17i | −0.0794933 | − | 0.237025i | ||||
\(785\) | − | 50315.7i | − | 2.28770i | ||||||
\(786\) | −10519.2 | − | 12633.0i | −0.477361 | − | 0.573286i | ||||
\(787\) | −4012.16 | − | 2316.42i | −0.181726 | − | 0.104919i | 0.406378 | − | 0.913705i | \(-0.366792\pi\) |
−0.588103 | + | 0.808786i | \(0.700125\pi\) | |||||||
\(788\) | 10607.0 | + | 6123.97i | 0.479517 | + | 0.276849i | ||||
\(789\) | −18149.2 | − | 21796.3i | −0.818922 | − | 0.983482i | ||||
\(790\) | 11979.6i | 0.539515i | ||||||||
\(791\) | 699.591 | − | 6972.30i | 0.0314470 | − | 0.313409i | ||||
\(792\) | −1007.60 | + | 358.129i | −0.0452063 | + | 0.0160676i | ||||
\(793\) | −2803.54 | − | 4855.87i | −0.125544 | − | 0.217449i | ||||
\(794\) | 4501.33 | − | 7796.53i | 0.201192 | − | 0.348474i | ||||
\(795\) | −14166.2 | + | 38468.1i | −0.631980 | + | 1.71613i | ||||
\(796\) | −1806.37 | + | 1042.91i | −0.0804335 | + | 0.0464383i | ||||
\(797\) | 121.248 | 0.00538874 | 0.00269437 | − | 0.999996i | \(-0.499142\pi\) | ||||
0.00269437 | + | 0.999996i | \(0.499142\pi\) | |||||||
\(798\) | −15466.5 | + | 10453.3i | −0.686100 | + | 0.463713i | ||||
\(799\) | −891.749 | −0.0394841 | ||||||||
\(800\) | 7410.14 | − | 4278.25i | 0.327485 | − | 0.189074i | ||||
\(801\) | 4435.49 | − | 24088.2i | 0.195656 | − | 1.06256i | ||||
\(802\) | −6972.82 | + | 12077.3i | −0.307006 | + | 0.531750i | ||||
\(803\) | −1543.18 | − | 2672.86i | −0.0678176 | − | 0.117464i | ||||
\(804\) | 825.697 | + | 4788.58i | 0.0362190 | + | 0.210050i | ||||
\(805\) | −46746.2 | − | 33627.4i | −2.04669 | − | 1.47231i | ||||
\(806\) | 2759.54i | 0.120596i | ||||||||
\(807\) | −21103.1 | + | 17572.1i | −0.920527 | + | 0.766501i | ||||
\(808\) | 1652.70 | + | 954.188i | 0.0719577 | + | 0.0415448i | ||||
\(809\) | −11357.9 | − | 6557.47i | −0.493599 | − | 0.284979i | 0.232467 | − | 0.972604i | \(-0.425320\pi\) |
−0.726066 | + | 0.687625i | \(0.758653\pi\) | |||||||
\(810\) | 10287.4 | − | 26987.0i | 0.446248 | − | 1.17065i | ||||
\(811\) | − | 2601.55i | − | 0.112642i | −0.998413 | − | 0.0563211i | \(-0.982063\pi\) | ||
0.998413 | − | 0.0563211i | \(-0.0179371\pi\) | |||||||
\(812\) | 5533.48 | + | 3980.57i | 0.239147 | + | 0.172033i | ||||
\(813\) | 32146.0 | − | 5542.95i | 1.38673 | − | 0.239114i | ||||
\(814\) | 1232.42 | + | 2134.61i | 0.0530666 | + | 0.0919141i | ||||
\(815\) | −17092.1 | + | 29604.4i | −0.734613 | + | 1.27239i | ||||
\(816\) | −147.868 | − | 54.4537i | −0.00634364 | − | 0.00233610i | ||||
\(817\) | −2065.14 | + | 1192.31i | −0.0884333 | + | 0.0510570i | ||||
\(818\) | 28710.3 | 1.22718 | ||||||||
\(819\) | −6399.15 | + | 6144.48i | −0.273021 | + | 0.262155i | ||||
\(820\) | 27233.3 | 1.15979 | ||||||||
\(821\) | 13977.1 | − | 8069.68i | 0.594158 | − | 0.343038i | −0.172582 | − | 0.984995i | \(-0.555211\pi\) |
0.766740 | + | 0.641958i | \(0.221878\pi\) | |||||||
\(822\) | 17986.9 | + | 6623.83i | 0.763218 | + | 0.281062i | ||||
\(823\) | −9786.73 | + | 16951.1i | −0.414513 | + | 0.717957i | −0.995377 | − | 0.0960431i | \(-0.969381\pi\) |
0.580864 | + | 0.814000i | \(0.302715\pi\) | |||||||
\(824\) | 78.3311 | + | 135.673i | 0.00331164 | + | 0.00573593i | ||||
\(825\) | −6778.47 | + | 1168.81i | −0.286056 | + | 0.0493247i | ||||
\(826\) | −2481.88 | + | 24735.0i | −0.104547 | + | 1.04194i | ||||
\(827\) | − | 19041.3i | − | 0.800641i | −0.916375 | − | 0.400320i | \(-0.868899\pi\) | ||
0.916375 | − | 0.400320i | \(-0.131101\pi\) | |||||||
\(828\) | 10994.5 | − | 12903.3i | 0.461457 | − | 0.541572i | ||||
\(829\) | −4754.65 | − | 2745.10i | −0.199199 | − | 0.115007i | 0.397083 | − | 0.917783i | \(-0.370023\pi\) |
−0.596282 | + | 0.802775i | \(0.703356\pi\) | |||||||
\(830\) | −29384.3 | − | 16965.0i | −1.22885 | − | 0.709476i | ||||
\(831\) | 29933.5 | − | 24924.9i | 1.24956 | − | 1.04048i | ||||
\(832\) | − | 1135.45i | − | 0.0473131i | ||||||
\(833\) | −430.427 | + | 487.202i | −0.0179033 | + | 0.0202647i | ||||
\(834\) | 98.6551 | + | 572.144i | 0.00409610 | + | 0.0237551i | ||||
\(835\) | 4809.80 | + | 8330.82i | 0.199341 | + | 0.345269i | ||||
\(836\) | −960.347 | + | 1663.37i | −0.0397300 | + | 0.0688144i | ||||
\(837\) | 123.779 | − | 10910.3i | 0.00511161 | − | 0.450557i | ||||
\(838\) | 25703.3 | − | 14839.8i | 1.05955 | − | 0.611733i | ||||
\(839\) | −25774.7 | −1.06060 | −0.530299 | − | 0.847811i | \(-0.677920\pi\) | ||||
−0.530299 | + | 0.847811i | \(0.677920\pi\) | |||||||
\(840\) | 15212.1 | − | 1078.02i | 0.624844 | − | 0.0442800i | ||||
\(841\) | 15922.5 | 0.652854 | ||||||||
\(842\) | −19179.1 | + | 11073.0i | −0.784982 | + | 0.453210i | ||||
\(843\) | 1339.35 | − | 3636.98i | 0.0547208 | − | 0.148593i | ||||
\(844\) | 199.258 | − | 345.124i | 0.00812646 | − | 0.0140754i | ||||
\(845\) | −18642.5 | − | 32289.8i | −0.758962 | − | 1.31456i | ||||
\(846\) | 8508.81 | + | 23939.6i | 0.345790 | + | 0.972883i | ||||
\(847\) | −9945.75 | − | 22058.0i | −0.403471 | − | 0.894830i | ||||
\(848\) | − | 6372.29i | − | 0.258049i | ||||||
\(849\) | −8755.76 | − | 10515.2i | −0.353942 | − | 0.425066i | ||||
\(850\) | −877.797 | − | 506.797i | −0.0354214 | − | 0.0204506i | ||||
\(851\) | −33839.5 | − | 19537.3i | −1.36311 | − | 0.786990i | ||||
\(852\) | −2024.56 | − | 2431.39i | −0.0814087 | − | 0.0977676i | ||||
\(853\) | 15407.3i | 0.618447i | 0.950989 | + | 0.309224i | \(0.100069\pi\) | ||||
−0.950989 | + | 0.309224i | \(0.899931\pi\) | |||||||
\(854\) | −6836.16 | + | 9503.09i | −0.273921 | + | 0.380783i | ||||
\(855\) | −17373.0 | − | 48879.0i | −0.694906 | − | 1.95512i | ||||
\(856\) | −1935.32 | − | 3352.08i | −0.0772757 | − | 0.133845i | ||||
\(857\) | −5708.14 | + | 9886.78i | −0.227522 | + | 0.394079i | −0.957073 | − | 0.289847i | \(-0.906396\pi\) |
0.729551 | + | 0.683926i | \(0.239729\pi\) | |||||||
\(858\) | −315.429 | + | 856.543i | −0.0125508 | + | 0.0340814i | ||||
\(859\) | −32407.3 | + | 18710.4i | −1.28722 | + | 0.743178i | −0.978158 | − | 0.207863i | \(-0.933349\pi\) |
−0.309064 | + | 0.951041i | \(0.600016\pi\) | |||||||
\(860\) | 1948.07 | 0.0772427 | ||||||||
\(861\) | 29741.8 | + | 14471.7i | 1.17723 | + | 0.572814i | ||||
\(862\) | −12821.9 | −0.506632 | ||||||||
\(863\) | 30175.4 | − | 17421.8i | 1.19025 | − | 0.687189i | 0.231884 | − | 0.972743i | \(-0.425511\pi\) |
0.958362 | + | 0.285554i | \(0.0921777\pi\) | |||||||
\(864\) | −50.9302 | + | 4489.19i | −0.00200542 | + | 0.176765i | ||||
\(865\) | 14392.2 | − | 24928.0i | 0.565720 | − | 0.979856i | ||||
\(866\) | −12881.0 | − | 22310.6i | −0.505445 | − | 0.875457i | ||||
\(867\) | −4334.74 | − | 25139.0i | −0.169799 | − | 0.984737i | ||||
\(868\) | 5252.18 | − | 2368.16i | 0.205381 | − | 0.0926045i | ||||
\(869\) | 1496.99i | 0.0584374i | ||||||||
\(870\) | −14556.3 | + | 12120.7i | −0.567247 | + | 0.472333i | ||||
\(871\) | 3592.07 | + | 2073.88i | 0.139739 | + | 0.0806783i | ||||
\(872\) | 296.559 | + | 171.218i | 0.0115169 | + | 0.00664929i | ||||
\(873\) | 1232.32 | − | 1446.26i | 0.0477750 | − | 0.0560694i | ||||
\(874\) | − | 30448.3i | − | 1.17841i | ||||||
\(875\) | 51977.1 | + | 5215.31i | 2.00817 | + | 0.201497i | ||||
\(876\) | −12769.1 | + | 2201.78i | −0.492497 | + | 0.0849215i | ||||
\(877\) | 14281.1 | + | 24735.6i | 0.549874 | + | 0.952409i | 0.998283 | + | 0.0585807i | \(0.0186575\pi\) |
−0.448409 | + | 0.893828i | \(0.648009\pi\) | |||||||
\(878\) | −9266.30 | + | 16049.7i | −0.356176 | + | 0.616915i | ||||
\(879\) | −4336.56 | − | 1596.98i | −0.166403 | − | 0.0612795i | ||||
\(880\) | 1358.86 | − | 784.540i | 0.0520537 | − | 0.0300532i | ||||
\(881\) | 25098.4 | 0.959804 | 0.479902 | − | 0.877322i | \(-0.340672\pi\) | ||||
0.479902 | + | 0.877322i | \(0.340672\pi\) | |||||||
\(882\) | 17186.2 | + | 6906.36i | 0.656112 | + | 0.263661i | ||||
\(883\) | −32704.3 | −1.24642 | −0.623208 | − | 0.782056i | \(-0.714171\pi\) | ||||
−0.623208 | + | 0.782056i | \(0.714171\pi\) | |||||||
\(884\) | −116.484 | + | 67.2519i | −0.00443187 | + | 0.00255874i | ||||
\(885\) | −64824.0 | − | 23872.0i | −2.46219 | − | 0.906721i | ||||
\(886\) | −8881.43 | + | 15383.1i | −0.336769 | + | 0.583301i | ||||
\(887\) | 11659.7 | + | 20195.2i | 0.441368 | + | 0.764472i | 0.997791 | − | 0.0664269i | \(-0.0211599\pi\) |
−0.556423 | + | 0.830899i | \(0.687827\pi\) | |||||||
\(888\) | 10197.7 | − | 1758.39i | 0.385374 | − | 0.0664503i | ||||
\(889\) | 2078.74 | + | 208.578i | 0.0784239 | + | 0.00786894i | ||||
\(890\) | 35939.3i | 1.35358i | ||||||||
\(891\) | 1285.52 | − | 3372.34i | 0.0483352 | − | 0.126799i | ||||
\(892\) | 6174.03 | + | 3564.58i | 0.231751 | + | 0.133802i | ||||
\(893\) | 39520.1 | + | 22816.9i | 1.48095 | + | 0.855028i | ||||
\(894\) | 27214.9 | − | 22661.2i | 1.01812 | − | 0.847766i | ||||
\(895\) | 25147.7i | 0.939213i | ||||||||
\(896\) | −2161.07 | + | 974.409i | −0.0805763 | + | 0.0363312i | ||||
\(897\) | −2458.79 | − | 14259.6i | −0.0915236 | − | 0.530786i | ||||
\(898\) | 6080.93 | + | 10532.5i | 0.225972 | + | 0.391396i | ||||
\(899\) | −3578.02 | + | 6197.32i | −0.132741 | + | 0.229913i | ||||
\(900\) | −5229.59 | + | 28400.7i | −0.193688 | + | 1.05188i | ||||
\(901\) | −653.723 | + | 377.427i | −0.0241717 | + | 0.0139555i | ||||
\(902\) | 3403.11 | 0.125622 | ||||||||
\(903\) | 2127.52 | + | 1035.20i | 0.0784045 | + | 0.0381498i | ||||
\(904\) | −3026.87 | −0.111363 | ||||||||
\(905\) | −56427.1 | + | 32578.2i | −2.07260 | + | 1.19661i | ||||
\(906\) | 11692.4 | − | 31750.6i | 0.428758 | − | 1.16429i | ||||
\(907\) | 18663.6 | − | 32326.3i | 0.683258 | − | 1.18344i | −0.290723 | − | 0.956807i | \(-0.593896\pi\) |
0.973981 | − | 0.226631i | \(-0.0727710\pi\) | |||||||
\(908\) | −6886.30 | − | 11927.4i | −0.251685 | − | 0.435931i | ||||
\(909\) | −6068.83 | + | 2157.04i | −0.221442 | + | 0.0787067i | ||||
\(910\) | 7601.67 | − | 10567.2i | 0.276915 | − | 0.384946i | ||||
\(911\) | 33130.2i | 1.20489i | 0.798161 | + | 0.602444i | \(0.205806\pi\) | ||||
−0.798161 | + | 0.602444i | \(0.794194\pi\) | |||||||
\(912\) | 5159.85 | + | 6196.71i | 0.187346 | + | 0.224993i | ||||
\(913\) | −3671.91 | − | 2119.98i | −0.133102 | − | 0.0768467i | ||||
\(914\) | −965.885 | − | 557.654i | −0.0349548 | − | 0.0201811i | ||||
\(915\) | −20815.8 | − | 24998.7i | −0.752076 | − | 0.903204i | ||||
\(916\) | 21739.7i | 0.784169i | ||||||||
\(917\) | 12042.0 | + | 26707.1i | 0.433654 | + | 0.961772i | ||||
\(918\) | 463.555 | − | 260.667i | 0.0166662 | − | 0.00937179i | ||||
\(919\) | 11879.4 | + | 20575.7i | 0.426404 | + | 0.738553i | 0.996550 | − | 0.0829898i | \(-0.0264469\pi\) |
−0.570146 | + | 0.821543i | \(0.693114\pi\) | |||||||
\(920\) | −12437.1 | + | 21541.8i | −0.445696 | + | 0.771968i | ||||
\(921\) | 7173.79 | − | 19480.3i | 0.256661 | − | 0.696958i | ||||
\(922\) | −12855.7 | + | 7422.24i | −0.459197 | + | 0.265118i | ||||
\(923\) | −2700.68 | −0.0963097 | ||||||||
\(924\) | 1900.93 | − | 134.711i | 0.0676798 | − | 0.00479618i | ||||
\(925\) | 66563.8 | 2.36606 | ||||||||
\(926\) | 18149.8 | − | 10478.8i | 0.644103 | − | 0.371873i | ||||
\(927\) | −519.993 | − | 95.7493i | −0.0184237 | − | 0.00339247i | ||||
\(928\) | 1472.22 | − | 2549.96i | 0.0520776 | − | 0.0902010i | ||||
\(929\) | 17720.4 | + | 30692.6i | 0.625819 | + | 1.08395i | 0.988382 | + | 0.151991i | \(0.0485685\pi\) |
−0.362563 | + | 0.931959i | \(0.618098\pi\) | |||||||
\(930\) | 2720.47 | + | 15777.2i | 0.0959221 | + | 0.556295i | ||||
\(931\) | 31541.4 | − | 10578.3i | 1.11034 | − | 0.372385i | ||||
\(932\) | − | 17622.2i | − | 0.619351i | ||||||
\(933\) | 2044.53 | − | 1702.43i | 0.0717415 | − | 0.0597374i | ||||
\(934\) | −16311.6 | − | 9417.49i | −0.571446 | − | 0.329925i | ||||
\(935\) | −160.969 | − | 92.9357i | −0.00563023 | − | 0.00325061i | ||||
\(936\) | 2916.87 | + | 2485.38i | 0.101860 | + | 0.0867918i | ||||
\(937\) | 42936.0i | 1.49697i | 0.663154 | + | 0.748483i | \(0.269218\pi\) | ||||
−0.663154 | + | 0.748483i | \(0.730782\pi\) | |||||||
\(938\) | 864.564 | − | 8616.46i | 0.0300949 | − | 0.299933i | ||||
\(939\) | 7519.12 | − | 1296.53i | 0.261318 | − | 0.0450591i | ||||
\(940\) | −18639.9 | − | 32285.3i | −0.646774 | − | 1.12025i | ||||
\(941\) | 16115.3 | − | 27912.5i | 0.558282 | − | 0.966972i | −0.439359 | − | 0.898312i | \(-0.644794\pi\) |
0.997640 | − | 0.0686602i | \(-0.0218724\pi\) | |||||||
\(942\) | −24770.8 | − | 9122.08i | −0.856770 | − | 0.315513i | ||||
\(943\) | −46721.1 | + | 26974.4i | −1.61341 | + | 0.931503i | ||||
\(944\) | 10738.2 | 0.370230 | ||||||||
\(945\) | −30528.5 | + | 41438.4i | −1.05089 | + | 1.42645i | ||||
\(946\) | 243.434 | 0.00836652 | ||||||||
\(947\) | −9522.57 | + | 5497.86i | −0.326760 | + | 0.188655i | −0.654402 | − | 0.756147i | \(-0.727079\pi\) |
0.327642 | + | 0.944802i | \(0.393746\pi\) | |||||||
\(948\) | 5897.68 | + | 2171.87i | 0.202054 | + | 0.0744083i | ||||
\(949\) | −5530.15 | + | 9578.50i | −0.189164 | + | 0.327641i | ||||
\(950\) | 25934.5 | + | 44919.9i | 0.885713 | + | 1.53410i | ||||
\(951\) | 38700.5 | − | 6673.14i | 1.31961 | − | 0.227541i | ||||
\(952\) | 227.962 | + | 163.987i | 0.00776082 | + | 0.00558284i | ||||
\(953\) | 10083.0i | 0.342728i | 0.985208 | + | 0.171364i | \(0.0548174\pi\) | ||||
−0.985208 | + | 0.171364i | \(0.945183\pi\) | |||||||
\(954\) | 16369.9 | + | 13948.3i | 0.555550 | + | 0.473368i | ||||
\(955\) | −33941.6 | − | 19596.2i | −1.15008 | − | 0.663998i | ||||
\(956\) | 6998.50 | + | 4040.58i | 0.236765 | + | 0.136696i | ||||
\(957\) | −1818.98 | + | 1514.62i | −0.0614412 | + | 0.0511606i | ||||
\(958\) | − | 21212.6i | − | 0.715394i | ||||||
\(959\) | −27729.7 | − | 19947.7i | −0.933721 | − | 0.671684i | ||||
\(960\) | −1119.37 | − | 6491.71i | −0.0376328 | − | 0.218249i | ||||
\(961\) | −11871.3 | − | 20561.7i | −0.398486 | − | 0.690198i | ||||
\(962\) | 4416.51 | − | 7649.62i | 0.148019 | − | 0.256376i | ||||
\(963\) | 12847.4 | + | 2365.67i | 0.429910 | + | 0.0791618i | ||||
\(964\) | −7867.26 | + | 4542.17i | −0.262850 | + | 0.151757i | ||||
\(965\) | −18221.1 | −0.607832 | ||||||||
\(966\) | −25030.0 | + | 16917.0i | −0.833671 | + | 0.563452i | ||||
\(967\) | −24809.9 | −0.825061 | −0.412530 | − | 0.910944i | \(-0.635355\pi\) | ||||
−0.412530 | + | 0.910944i | \(0.635355\pi\) | |||||||
\(968\) | −9051.63 | + | 5225.96i | −0.300548 | + | 0.173521i | ||||
\(969\) | 330.095 | − | 896.368i | 0.0109434 | − | 0.0297167i | ||||
\(970\) | −1394.01 | + | 2414.50i | −0.0461432 | + | 0.0799225i | ||||
\(971\) | 3033.74 | + | 5254.60i | 0.100265 | + | 0.173664i | 0.911794 | − | 0.410648i | \(-0.134698\pi\) |
−0.811529 | + | 0.584313i | \(0.801364\pi\) | |||||||
\(972\) | −11420.9 | − | 9957.21i | −0.376877 | − | 0.328578i | ||||
\(973\) | 103.299 | − | 1029.50i | 0.00340351 | − | 0.0339202i | ||||
\(974\) | − | 25548.7i | − | 0.840487i | ||||||
\(975\) | 15773.1 | + | 18942.7i | 0.518096 | + | 0.622206i | ||||
\(976\) | 4379.25 | + | 2528.36i | 0.143623 | + | 0.0829211i | ||||
\(977\) | 11370.3 | + | 6564.62i | 0.372331 | + | 0.214965i | 0.674476 | − | 0.738297i | \(-0.264370\pi\) |
−0.302146 | + | 0.953262i | \(0.597703\pi\) | |||||||
\(978\) | 11475.7 | + | 13781.8i | 0.375208 | + | 0.450605i | ||||
\(979\) | 4491.03i | 0.146613i | ||||||||
\(980\) | −26636.0 | − | 5399.59i | −0.868219 | − | 0.176004i | ||||
\(981\) | −1088.98 | + | 387.056i | −0.0354420 | + | 0.0125971i | ||||
\(982\) | −18689.8 | − | 32371.7i | −0.607348 | − | 1.05196i | ||||
\(983\) | −13427.3 | + | 23256.8i | −0.435671 | + | 0.754605i | −0.997350 | − | 0.0727505i | \(-0.976822\pi\) |
0.561679 | + | 0.827355i | \(0.310156\pi\) | |||||||
\(984\) | 4937.31 | − | 13407.2i | 0.159955 | − | 0.434355i | ||||
\(985\) | 52528.2 | − | 30327.2i | 1.69918 | − | 0.981019i | ||||
\(986\) | −348.795 | −0.0112656 | ||||||||
\(987\) | −3200.61 | − | 45164.4i | −0.103218 | − | 1.45653i | ||||
\(988\) | 6883.02 | 0.221638 | ||||||||
\(989\) | −3342.09 | + | 1929.56i | −0.107454 | + | 0.0620387i | ||||
\(990\) | −958.995 | + | 5208.09i | −0.0307867 | + | 0.167196i | ||||
\(991\) | −13495.1 | + | 23374.1i | −0.432578 | + | 0.749247i | −0.997094 | − | 0.0761745i | \(-0.975729\pi\) |
0.564516 | + | 0.825422i | \(0.309063\pi\) | |||||||
\(992\) | −1244.34 | − | 2155.27i | −0.0398266 | − | 0.0689816i | ||||
\(993\) | 5178.94 | + | 30034.9i | 0.165507 | + | 0.959849i | ||||
\(994\) | 2317.65 | + | 5140.14i | 0.0739550 | + | 0.164020i | ||||
\(995\) | 10329.4i | 0.329109i | ||||||||
\(996\) | −13679.3 | + | 11390.4i | −0.435186 | + | 0.362369i | ||||
\(997\) | 12247.7 | + | 7071.22i | 0.389056 | + | 0.224622i | 0.681751 | − | 0.731584i | \(-0.261219\pi\) |
−0.292695 | + | 0.956206i | \(0.594552\pi\) | |||||||
\(998\) | 23773.2 | + | 13725.5i | 0.754036 | + | 0.435343i | ||||
\(999\) | −17804.6 | + | 30046.0i | −0.563875 | + | 0.951565i |
(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 | 42.4.f.a.17.5 | yes | 16 | |
3.2 | odd | 2 | inner | 42.4.f.a.17.2 | yes | 16 | |
4.3 | odd | 2 | 336.4.bc.e.17.8 | 16 | |||
7.2 | even | 3 | 294.4.f.a.215.3 | 16 | |||
7.3 | odd | 6 | 294.4.d.a.293.12 | 16 | |||
7.4 | even | 3 | 294.4.d.a.293.13 | 16 | |||
7.5 | odd | 6 | inner | 42.4.f.a.5.2 | ✓ | 16 | |
7.6 | odd | 2 | 294.4.f.a.227.8 | 16 | |||
12.11 | even | 2 | 336.4.bc.e.17.6 | 16 | |||
21.2 | odd | 6 | 294.4.f.a.215.8 | 16 | |||
21.5 | even | 6 | inner | 42.4.f.a.5.5 | yes | 16 | |
21.11 | odd | 6 | 294.4.d.a.293.4 | 16 | |||
21.17 | even | 6 | 294.4.d.a.293.5 | 16 | |||
21.20 | even | 2 | 294.4.f.a.227.3 | 16 | |||
28.19 | even | 6 | 336.4.bc.e.257.6 | 16 | |||
84.47 | odd | 6 | 336.4.bc.e.257.8 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
42.4.f.a.5.2 | ✓ | 16 | 7.5 | odd | 6 | inner | |
42.4.f.a.5.5 | yes | 16 | 21.5 | even | 6 | inner | |
42.4.f.a.17.2 | yes | 16 | 3.2 | odd | 2 | inner | |
42.4.f.a.17.5 | yes | 16 | 1.1 | even | 1 | trivial | |
294.4.d.a.293.4 | 16 | 21.11 | odd | 6 | |||
294.4.d.a.293.5 | 16 | 21.17 | even | 6 | |||
294.4.d.a.293.12 | 16 | 7.3 | odd | 6 | |||
294.4.d.a.293.13 | 16 | 7.4 | even | 3 | |||
294.4.f.a.215.3 | 16 | 7.2 | even | 3 | |||
294.4.f.a.215.8 | 16 | 21.2 | odd | 6 | |||
294.4.f.a.227.3 | 16 | 21.20 | even | 2 | |||
294.4.f.a.227.8 | 16 | 7.6 | odd | 2 | |||
336.4.bc.e.17.6 | 16 | 12.11 | even | 2 | |||
336.4.bc.e.17.8 | 16 | 4.3 | odd | 2 | |||
336.4.bc.e.257.6 | 16 | 28.19 | even | 6 | |||
336.4.bc.e.257.8 | 16 | 84.47 | odd | 6 |